From 270864b48df9b4429779a0918a1859c70e2fa201 Mon Sep 17 00:00:00 2001
From: heduenas <heduenas@users.noreply.github.com>
Date: Mon, 9 Dec 2024 01:57:07 +0000
Subject: [PATCH] deploy: b87ed1ffb7b925cc2088b29a740523028d3c31c6

---
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diff --git a/categories/index.html b/categories/index.html
index 7cd6abc..6ff7530 100644
--- a/categories/index.html
+++ b/categories/index.html
@@ -1,6 +1,10 @@
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+</a><a title=Blog href=/posts class="hx-text-sm contrast-more:hx-text-gray-700 contrast-more:dark:hx-text-gray-100 hx-relative -hx-ml-2 hx-hidden hx-whitespace-nowrap hx-p-2 md:hx-inline-block hx-text-gray-600 hover:hx-text-gray-800 dark:hx-text-gray-400 dark:hover:hx-text-gray-200"><span class=hx-text-center>Blog</span></a><div class="search-wrapper hx-relative md:hx-w-64"><div class="hx-relative hx-flex hx-items-center hx-text-gray-900 contrast-more:hx-text-gray-800 dark:hx-text-gray-300 contrast-more:dark:hx-text-gray-300"><input placeholder=Buscar... class="search-input hx-block hx-w-full hx-appearance-none hx-rounded-lg hx-px-3 hx-py-2 hx-transition-colors hx-text-base hx-leading-tight md:hx-text-sm hx-bg-black/[.05] dark:hx-bg-gray-50/10 focus:hx-bg-white dark:focus:hx-bg-dark placeholder:hx-text-gray-500 dark:placeholder:hx-text-gray-400 contrast-more:hx-border contrast-more:hx-border-current" type=search spellcheck=false>
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diff --git a/posts/162/index.html b/posts/162/index.html
index de3dfb6..a7b757e 100644
--- a/posts/162/index.html
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@@ -5,6 +5,10 @@
 Considero este problema como un buen ejemplo para quienes desean comenzar a trabajar con problemas de programación dinámica. Se nos pide calcular la cantidad de pulseras diferentes que se pueden construir bajo ciertas condiciones. Podemos comenzar preguntándonos, ¿qué sucede si la primera cuenta es negra? La siguiente podrá ser sólo blanca. Y si comenzamos con una blanca, la siguiente puede ser negra o blanca. Podemos entonces en una matriz de 2xn colocar en cada columna cuántas secuencias distintas hay que en la posición i-ésima terminen en negro y cuántas en blanco de tal modo que no haya dos cuentas negras consecutivas. Simplemente, para obtener los números de la siguiente posición, observamos que el número de las que terminan en blanco es la suma de ambos números de la posición anterior y de las que terminan en negro es el número de secuencias que terminan en blanco de la posición anterior."><meta itemprop=datePublished content="2013-01-07T16:58:46+00:00"><meta itemprop=dateModified content="2013-01-07T16:58:46+00:00"><meta itemprop=wordCount content="367"><meta itemprop=keywords content="Solution,Alain Acevedo,Etapa 1,Examen 10,Preselectivo,Solución,Soluciones Preselectivo 2013"><meta name=twitter:card content="summary"><meta name=twitter:title content='Solución a "Pulseras"'><meta name=twitter:description content="Concurso: Preselectivo para la IOI 2013, Etapa 1, Examen 10 **Autor: **Alain Acevedo Mejía
 Considero este problema como un buen ejemplo para quienes desean comenzar a trabajar con problemas de programación dinámica. Se nos pide calcular la cantidad de pulseras diferentes que se pueden construir bajo ciertas condiciones. Podemos comenzar preguntándonos, ¿qué sucede si la primera cuenta es negra? La siguiente podrá ser sólo blanca. Y si comenzamos con una blanca, la siguiente puede ser negra o blanca. Podemos entonces en una matriz de 2xn colocar en cada columna cuántas secuencias distintas hay que en la posición i-ésima terminen en negro y cuántas en blanco de tal modo que no haya dos cuentas negras consecutivas. Simplemente, para obtener los números de la siguiente posición, observamos que el número de las que terminan en blanco es la suma de ambos números de la posición anterior y de las que terminan en negro es el número de secuencias que terminan en blanco de la posición anterior."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/38-nuevos-problemas-de-karel-disponibles-gracias-a-la-oieg/index.html b/posts/38-nuevos-problemas-de-karel-disponibles-gracias-a-la-oieg/index.html
index 95a048f..f43a7c6 100644
--- a/posts/38-nuevos-problemas-de-karel-disponibles-gracias-a-la-oieg/index.html
+++ b/posts/38-nuevos-problemas-de-karel-disponibles-gracias-a-la-oieg/index.html
@@ -31,6 +31,10 @@
 ORIG 2013 Examen PreEstatal Karel Nivel intermedio
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diff --git a/posts/445/index.html b/posts/445/index.html
index 7c470cf..c10f80a 100644
--- a/posts/445/index.html
+++ b/posts/445/index.html
@@ -9,6 +9,10 @@
 Este problema es una ligera modificación del Let’s Play Osu! que apareció en la ronda 146 en Codeforces. La solución explicada la pueden encontrar en el editorial.
 Para $latex N \le 10$ se pueden checar todas las $latex 2^N$ configuraciones de pistas. Para $latex N \le 1000$ funciona una dinámica $latex O(N^2)$, donde los estados son (posición, altura/profundidad que se lleva hasta el momento)."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/68-nuevos-problemas-de-teddy-online-judge/index.html b/posts/68-nuevos-problemas-de-teddy-online-judge/index.html
index 3c39c56..3e57f41 100644
--- a/posts/68-nuevos-problemas-de-teddy-online-judge/index.html
+++ b/posts/68-nuevos-problemas-de-teddy-online-judge/index.html
@@ -5,6 +5,10 @@
 Aunque estos problemas tienen mucho tiempo en Teddy y han tenido mas de 15k ejecuciones en ese juez, han sido migrados de manera automática ya que Teddy usa HTML y OmegaUp usa un markup modificado, entre otros cambios interesantes. Eso quiere decir que puede haber erroes. Si encuentras uno de ellos no dudes en enviar una clarificacion."><meta itemprop=datePublished content="2015-01-30T06:52:20+00:00"><meta itemprop=dateModified content="2015-01-30T06:52:20+00:00"><meta itemprop=wordCount content="108"><meta itemprop=keywords content="News,Anuncios,OmegaUp"><meta name=twitter:card content="summary"><meta name=twitter:title content="68 nuevos problemas de Teddy Online Judge"><meta name=twitter:description content="Ya pueden encontrar en OmegaUp 68 nuevos problemas migrados desde Teddy Online Judge. Todos estos problemas tienen el tag teddy asi que son fáciles de identificar.
 Aunque estos problemas tienen mucho tiempo en Teddy y han tenido mas de 15k ejecuciones en ese juez, han sido migrados de manera automática ya que Teddy usa HTML y OmegaUp usa un markup modificado, entre otros cambios interesantes. Eso quiere decir que puede haber erroes. Si encuentras uno de ellos no dudes en enviar una clarificacion."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/administracion-de-identidades/index.html b/posts/administracion-de-identidades/index.html
index 32b2831..6e284e9 100644
--- a/posts/administracion-de-identidades/index.html
+++ b/posts/administracion-de-identidades/index.html
@@ -5,6 +5,10 @@
 ¿Qué es una Identidad?Una identidad en omegaUp es una cuenta con los privilegios suficientes para ingresar a un curso o concurso para el cual haya sido creada. Anteriormente, para que un usuario pudiera ingresar al curso o concurso, era necesario hacer los cambios necesarios en el código descrito en el párrafo anterior."><meta itemprop=datePublished content="2020-02-08T22:56:22+00:00"><meta itemprop=dateModified content="2020-02-08T22:56:22+00:00"><meta itemprop=wordCount content="1408"><meta itemprop=keywords content="Features,Concursos,Uncategorized"><meta name=twitter:card content="summary"><meta name=twitter:title content="Administración de Identidades"><meta name=twitter:description content="Hemos liberado una nueva funcionalidad en omegaUp para que puedas administrar identidades dentro de un grupo. Si has sido organizador de un concurso o curso, seguramente has requerido de la ayuda de algún miembro de omegaUp para dar de alta las cuentas de los usuarios que participarán en el evento que organizaste con este script. Con esta nueva funcionalidad serás capaz de realizar todas las acciones por tu cuenta.
 ¿Qué es una Identidad?Una identidad en omegaUp es una cuenta con los privilegios suficientes para ingresar a un curso o concurso para el cual haya sido creada. Anteriormente, para que un usuario pudiera ingresar al curso o concurso, era necesario hacer los cambios necesarios en el código descrito en el párrafo anterior."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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 <kbd class="hx-absolute hx-my-1.5 hx-select-none ltr:hx-right-1.5 rtl:hx-left-1.5 hx-h-5 hx-rounded hx-bg-white hx-px-1.5 hx-font-mono hx-text-[10px] hx-font-medium hx-text-gray-500 hx-border dark:hx-border-gray-100/20 dark:hx-bg-dark/50 contrast-more:hx-border-current contrast-more:hx-text-current contrast-more:dark:hx-border-current hx-items-center hx-gap-1 hx-transition-opacity hx-pointer-events-none hx-hidden sm:hx-flex">CTRL K</kbd></div><div><ul class="search-results hextra-scrollbar hx-hidden hx-border hx-border-gray-200 hx-bg-white hx-text-gray-100 dark:hx-border-neutral-800 dark:hx-bg-neutral-900 hx-absolute hx-top-full hx-z-20 hx-mt-2 hx-overflow-auto hx-overscroll-contain hx-rounded-xl hx-py-2.5 hx-shadow-xl hx-max-h-[min(calc(50vh-11rem-env(safe-area-inset-bottom)),400px)] md:hx-max-h-[min(calc(100vh-5rem-env(safe-area-inset-bottom)),400px)] hx-inset-x-0 ltr:md:hx-left-auto rtl:md:hx-right-auto contrast-more:hx-border contrast-more:hx-border-gray-900 contrast-more:dark:hx-border-gray-50 hx-w-screen hx-min-h-[100px] hx-max-w-[min(calc(100vw-2rem),calc(100%+20rem))]" style="transition:max-height .2s ease 0s"></ul></div></div></div><div class="hextra-scrollbar hx-overflow-y-auto hx-overflow-x-hidden hx-p-4 hx-grow md:hx-h-[calc(100vh-var(--navbar-height)-var(--menu-height))]"><ul class="hx-flex hx-flex-col hx-gap-1 md:hx-hidden"><li class=open><a class="hx-flex hx-items-center hx-justify-between hx-gap-2 hx-cursor-pointer hx-rounded hx-px-2 hx-py-1.5 hx-text-sm hx-transition-colors [-webkit-tap-highlight-color:transparent] [-webkit-touch-callout:none] [word-break:break-word]
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diff --git a/posts/analisis-de-diferencias-en-salidas-para-envios-de-problemas-educativos/index.html b/posts/analisis-de-diferencias-en-salidas-para-envios-de-problemas-educativos/index.html
index 52de511..7c8150c 100644
--- a/posts/analisis-de-diferencias-en-salidas-para-envios-de-problemas-educativos/index.html
+++ b/posts/analisis-de-diferencias-en-salidas-para-envios-de-problemas-educativos/index.html
@@ -6,6 +6,10 @@
 ¿En qué consiste el análisis de las diferencias? Para todos los problemas educativos que accedan vía cursos, los usuarios podrán comparar el resultado que obtuvo la salida de la solución que acaban de enviar, contra el resultado que se espera de acuerdo a los casos que subió el creador del problema."><meta itemprop=datePublished content="2020-09-07T02:13:18+00:00"><meta itemprop=dateModified content="2020-09-07T02:13:18+00:00"><meta itemprop=wordCount content="594"><meta itemprop=keywords content="Features,Cursos,Uncategorized"><meta name=twitter:card content="summary"><meta name=twitter:title content="Análisis de diferencias en salidas para envíos de problemas educativos"><meta name=twitter:description content="Hemos liberado una nueva funcionalidad que será muy útil para los usuarios que comienzan a utilizar la plataforma, ya que contarán con una herramienta más para apoyarlos en su aprendizaje. Esta funcionalidad les permitirá ver un análisis de las diferencias entre las salidas que dan sus programas y las salidas oficiales para los envíos de problemas educativos.
 ¿En qué consiste el análisis de las diferencias? Para todos los problemas educativos que accedan vía cursos, los usuarios podrán comparar el resultado que obtuvo la salida de la solución que acaban de enviar, contra el resultado que se espera de acuerdo a los casos que subió el creador del problema."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/anunciando-omegaup-escuelas/index.html b/posts/anunciando-omegaup-escuelas/index.html
index c87a540..9d51324 100644
--- a/posts/anunciando-omegaup-escuelas/index.html
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diff --git a/posts/anunciando-omegaup-mentores/index.html b/posts/anunciando-omegaup-mentores/index.html
index d185064..2e9a021 100644
--- a/posts/anunciando-omegaup-mentores/index.html
+++ b/posts/anunciando-omegaup-mentores/index.html
@@ -5,6 +5,10 @@
 Para ello, omegaUp ofrecerá a los coders del mes la posibilidad de recibir mentoría personalizada de ingenieros de software voluntarios con experiencia internacional, habiendo laborado en las principales empresas de tecnología del mundo, tales como Microsoft, Facebook, Amazon, Google, entre otras. Además, el usuario galardonado se hará acreedor a un diploma y un premio que podrá ser de utilidad en su desarrollo técnico o académico. Los ganadores interactúan con sus mentores mediante videollamadas y correos electrónicos. En el mes de Enero, el usuario Jorge Salazar Cruz, estudiante del CBTis 60 en Guanajuato, México, tuvo la oportunidad de hablar con Rafael Díaz, ingeniero de software en Microsoft."><meta itemprop=datePublished content="2017-05-19T14:34:23+00:00"><meta itemprop=dateModified content="2017-05-19T14:34:23+00:00"><meta itemprop=wordCount content="233"><meta itemprop=keywords content="Features,Ranking,Anuncios,OmegaUp"><meta name=twitter:card content="summary"><meta name=twitter:title content="Anunciando omegaUp Mentores"><meta name=twitter:description content="La misión de omegaUp es incrementar el número de ingenieros de software talentosos en América Latina, por lo que nos complace anunciar públicamente el programa omegaUp Mentores. El objetivo de este proyecto es ayudar a que nuestros usuarios más activos potencialicen sus habilidades, conectándolos con gente de experiencia que puedan servirles de guía para el desarrollo de su carrera profesional.
 Para ello, omegaUp ofrecerá a los coders del mes la posibilidad de recibir mentoría personalizada de ingenieros de software voluntarios con experiencia internacional, habiendo laborado en las principales empresas de tecnología del mundo, tales como Microsoft, Facebook, Amazon, Google, entre otras. Además, el usuario galardonado se hará acreedor a un diploma y un premio que podrá ser de utilidad en su desarrollo técnico o académico. Los ganadores interactúan con sus mentores mediante videollamadas y correos electrónicos. En el mes de Enero, el usuario Jorge Salazar Cruz, estudiante del CBTis 60 en Guanajuato, México, tuvo la oportunidad de hablar con Rafael Díaz, ingeniero de software en Microsoft."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/aventuras-en-el-evaluador-parte-1/index.html b/posts/aventuras-en-el-evaluador-parte-1/index.html
index 1960758..de40c89 100644
--- a/posts/aventuras-en-el-evaluador-parte-1/index.html
+++ b/posts/aventuras-en-el-evaluador-parte-1/index.html
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 <!doctype html><html lang=es><head><meta charset=utf-8><meta name=viewport content="width=device-width,initial-scale=1"><meta name=robots content="index, follow"><link rel="icon shortcut" href=/favicon.ico sizes=32x32><link rel=icon href=/favicon.svg type=image/svg+xml><link rel=icon href=/favicon-dark.svg type=image/svg+xml media="(prefers-color-scheme: dark)"><link rel=icon href=/favicon-16x16.png type=image/png sizes=16x16><link rel=icon href=/favicon-32x32.png type=image/png sizes=32x32><link rel=apple-touch-icon href=/apple-touch-icon.png sizes=180x180><link fetchpriority=low href=/site.webmanifest rel=manifest><title>Aventuras en el evaluador, parte 1 – omegaUp blog</title>
 <meta name=description content="Como parte de los propósitos de año nuevo, me dispuse a hacer un refactor masivo del código con el cual se evalúan y ejecutan las soluciones en omegaUp. Habían muchas motivaciones para hacer la actualización: tener un sandbox más moderno, eliminar un montón de código duplicado, mejorar las pruebas, el logging, el paralelismo en los jueces, cómo se despliega el tiempo y la memoria, el desempeño de los envíos, soportar C++11 y más lenguajes. Son muchísimos cambios, así que haré dos posts explicándolos: este post se centrará en los cambios que se hicieron en la arquitectura de jueceo y el siguiente se enfocará únicamente en el nuevo sandbox."><link rel=canonical href=https://blog.omegaup.com/posts/aventuras-en-el-evaluador-parte-1/ itemprop=url><meta property="og:title" content="Aventuras en el evaluador, parte 1"><meta property="og:description" content="Como parte de los propósitos de año nuevo, me dispuse a hacer un refactor masivo del código con el cual se evalúan y ejecutan las soluciones en omegaUp. Habían muchas motivaciones para hacer la actualización: tener un sandbox más moderno, eliminar un montón de código duplicado, mejorar las pruebas, el logging, el paralelismo en los jueces, cómo se despliega el tiempo y la memoria, el desempeño de los envíos, soportar C++11 y más lenguajes. Son muchísimos cambios, así que haré dos posts explicándolos: este post se centrará en los cambios que se hicieron en la arquitectura de jueceo y el siguiente se enfocará únicamente en el nuevo sandbox."><meta property="og:type" content="article"><meta property="og:url" content="https://blog.omegaup.com/posts/aventuras-en-el-evaluador-parte-1/"><meta property="article:section" content="posts"><meta property="article:published_time" content="2014-01-24T04:46:33+00:00"><meta property="article:modified_time" content="2014-01-24T04:46:33+00:00"><meta itemprop=name content="Aventuras en el evaluador, parte 1"><meta itemprop=description content="Como parte de los propósitos de año nuevo, me dispuse a hacer un refactor masivo del código con el cual se evalúan y ejecutan las soluciones en omegaUp. Habían muchas motivaciones para hacer la actualización: tener un sandbox más moderno, eliminar un montón de código duplicado, mejorar las pruebas, el logging, el paralelismo en los jueces, cómo se despliega el tiempo y la memoria, el desempeño de los envíos, soportar C++11 y más lenguajes. Son muchísimos cambios, así que haré dos posts explicándolos: este post se centrará en los cambios que se hicieron en la arquitectura de jueceo y el siguiente se enfocará únicamente en el nuevo sandbox."><meta itemprop=datePublished content="2014-01-24T04:46:33+00:00"><meta itemprop=dateModified content="2014-01-24T04:46:33+00:00"><meta itemprop=wordCount content="627"><meta itemprop=keywords content="News,Internals"><meta name=twitter:card content="summary"><meta name=twitter:title content="Aventuras en el evaluador, parte 1"><meta name=twitter:description content="Como parte de los propósitos de año nuevo, me dispuse a hacer un refactor masivo del código con el cual se evalúan y ejecutan las soluciones en omegaUp. Habían muchas motivaciones para hacer la actualización: tener un sandbox más moderno, eliminar un montón de código duplicado, mejorar las pruebas, el logging, el paralelismo en los jueces, cómo se despliega el tiempo y la memoria, el desempeño de los envíos, soportar C++11 y más lenguajes. Son muchísimos cambios, así que haré dos posts explicándolos: este post se centrará en los cambios que se hicieron en la arquitectura de jueceo y el siguiente se enfocará únicamente en el nuevo sandbox."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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@@ -16,6 +16,10 @@
 Reglas:
 Deben ser estudiantes de Preparatoria, Licenciatura, Maestría, Doctorado o Postdoctorado. Los puntos otorgados por cada problema serán tomados como parte del puntaje final. El primer AC de cada etapa recibirá 10 puntos extras. Problemas resueltos parcialmente serán tomados en cuenta. Para determinar los ganadores se utilizará como criterio el número de puntos obtenidos y como segundo criterio el número de AC que tenga a lo largo de las etapas, es decir gana el quien tenga mayor cantidad de puntos y en caso de ser necesario mayor número de problemas resueltos correctamente. "><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/buscar/index.html b/posts/buscar/index.html
index 15b6676..20631f1 100644
--- a/posts/buscar/index.html
+++ b/posts/buscar/index.html
@@ -1,6 +1,10 @@
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 <kbd class="hx-absolute hx-my-1.5 hx-select-none ltr:hx-right-1.5 rtl:hx-left-1.5 hx-h-5 hx-rounded hx-bg-white hx-px-1.5 hx-font-mono hx-text-[10px] hx-font-medium hx-text-gray-500 hx-border dark:hx-border-gray-100/20 dark:hx-bg-dark/50 contrast-more:hx-border-current contrast-more:hx-text-current contrast-more:dark:hx-border-current hx-items-center hx-gap-1 hx-transition-opacity hx-pointer-events-none hx-hidden sm:hx-flex">CTRL K</kbd></div><div><ul class="search-results hextra-scrollbar hx-hidden hx-border hx-border-gray-200 hx-bg-white hx-text-gray-100 dark:hx-border-neutral-800 dark:hx-bg-neutral-900 hx-absolute hx-top-full hx-z-20 hx-mt-2 hx-overflow-auto hx-overscroll-contain hx-rounded-xl hx-py-2.5 hx-shadow-xl hx-max-h-[min(calc(50vh-11rem-env(safe-area-inset-bottom)),400px)] md:hx-max-h-[min(calc(100vh-5rem-env(safe-area-inset-bottom)),400px)] hx-inset-x-0 ltr:md:hx-left-auto rtl:md:hx-right-auto contrast-more:hx-border contrast-more:hx-border-gray-900 contrast-more:dark:hx-border-gray-50 hx-w-screen hx-min-h-[100px] hx-max-w-[min(calc(100vw-2rem),calc(100%+20rem))]" style="transition:max-height .2s ease 0s"></ul></div></div></div><div class="hextra-scrollbar hx-overflow-y-auto hx-overflow-x-hidden hx-p-4 hx-grow md:hx-h-[calc(100vh-var(--navbar-height)-var(--menu-height))]"><ul class="hx-flex hx-flex-col hx-gap-1 md:hx-hidden"><li class=open><a class="hx-flex hx-items-center hx-justify-between hx-gap-2 hx-cursor-pointer hx-rounded hx-px-2 hx-py-1.5 hx-text-sm hx-transition-colors [-webkit-tap-highlight-color:transparent] [-webkit-touch-callout:none] [word-break:break-word]
 hx-text-gray-500 hover:hx-bg-gray-100 hover:hx-text-gray-900 contrast-more:hx-border contrast-more:hx-border-transparent contrast-more:hx-text-gray-900 contrast-more:hover:hx-border-gray-900 dark:hx-text-neutral-400 dark:hover:hx-bg-primary-100/5 dark:hover:hx-text-gray-50 contrast-more:dark:hx-text-gray-50 contrast-more:dark:hover:hx-border-gray-50" href=/posts/>Entradas del blog omegaUp
diff --git a/posts/cambios-en-el-ranking/index.html b/posts/cambios-en-el-ranking/index.html
index 2f1df64..79e2ec3 100644
--- a/posts/cambios-en-el-ranking/index.html
+++ b/posts/cambios-en-el-ranking/index.html
@@ -9,6 +9,10 @@
 De igual forma, el **Coder del Mes **también será calculado sólo con problemas públicos.
 Desafortunadamente varios competidores cayeron bastantes posiciones en el ranking. Ayúdenos a convencer a su problemsetter favorito a que los problemas se publiquen al finalizar los concursos."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
 <img class="hx-hidden dark:hx-block" src=/logo/%ce%a9Up-dark.png alt="omegaUp blog" height=36 width=70>
+</a><a title=Blog href=/posts class="hx-text-sm contrast-more:hx-text-gray-700 contrast-more:dark:hx-text-gray-100 hx-relative -hx-ml-2 hx-hidden hx-whitespace-nowrap hx-p-2 md:hx-inline-block hx-font-medium"><span class=hx-text-center>Blog</span></a><div class="search-wrapper hx-relative md:hx-w-64"><div class="hx-relative hx-flex hx-items-center hx-text-gray-900 contrast-more:hx-text-gray-800 dark:hx-text-gray-300 contrast-more:dark:hx-text-gray-300"><input placeholder=Buscar... class="search-input hx-block hx-w-full hx-appearance-none hx-rounded-lg hx-px-3 hx-py-2 hx-transition-colors hx-text-base hx-leading-tight md:hx-text-sm hx-bg-black/[.05] dark:hx-bg-gray-50/10 focus:hx-bg-white dark:focus:hx-bg-dark placeholder:hx-text-gray-500 dark:placeholder:hx-text-gray-400 contrast-more:hx-border contrast-more:hx-border-current" type=search spellcheck=false>
+<kbd class="hx-absolute hx-my-1.5 hx-select-none ltr:hx-right-1.5 rtl:hx-left-1.5 hx-h-5 hx-rounded hx-bg-white hx-px-1.5 hx-font-mono hx-text-[10px] hx-font-medium hx-text-gray-500 hx-border dark:hx-border-gray-100/20 dark:hx-bg-dark/50 contrast-more:hx-border-current contrast-more:hx-text-current contrast-more:dark:hx-border-current hx-items-center hx-gap-1 hx-transition-opacity hx-pointer-events-none hx-hidden sm:hx-flex">CTRL K</kbd></div><div><ul class="search-results hextra-scrollbar hx-hidden hx-border hx-border-gray-200 hx-bg-white hx-text-gray-100 dark:hx-border-neutral-800 dark:hx-bg-neutral-900 hx-absolute hx-top-full hx-z-20 hx-mt-2 hx-overflow-auto hx-overscroll-contain hx-rounded-xl hx-py-2.5 hx-shadow-xl hx-max-h-[min(calc(50vh-11rem-env(safe-area-inset-bottom)),400px)] md:hx-max-h-[min(calc(100vh-5rem-env(safe-area-inset-bottom)),400px)] hx-inset-x-0 ltr:md:hx-left-auto rtl:md:hx-right-auto contrast-more:hx-border contrast-more:hx-border-gray-900 contrast-more:dark:hx-border-gray-50 hx-w-screen hx-min-h-[100px] hx-max-w-[min(calc(100vw-2rem),calc(100%+20rem))]" style="transition:max-height .2s ease 0s"></ul></div></div><a class="hx-p-2 hx-text-current" target=_blank rel=noreferer href=https://github.com/omegaup title=GitHub><svg height="24" fill="currentcolor" viewBox="3 3 18 18"><path d="M12 3C7.0275 3 3 7.12937 3 12.2276c0 4.0833 2.57625 7.5321 6.15374 8.7548C9.60374 21.0631 9.77249 20.7863 9.77249 20.5441 9.77249 20.3249 9.76125 19.5982 9.76125 18.8254 7.5 19.2522 6.915 18.2602 6.735 17.7412 6.63375 17.4759 6.19499 16.6569 5.8125 16.4378 5.4975 16.2647 5.0475 15.838 5.80124 15.8264 6.51 15.8149 7.01625 16.4954 7.18499 16.7723 7.99499 18.1679 9.28875 17.7758 9.80625 17.5335 9.885 16.9337 10.1212 16.53 10.38 16.2993 8.3775 16.0687 6.285 15.2728 6.285 11.7432c0-1.0035.34875-1.834.92249-2.47994C7.1175 9.03257 6.8025 8.08674 7.2975 6.81794c0 0 .753749999999999-.24223 2.47499.94583.72001-.20762 1.48501-.31143 2.25001-.31143C12.7875 7.45234 13.5525 7.55615 14.2725 7.76377c1.7212-1.19959 2.475-.94583 2.475-.94583C17.2424 8.08674 16.9275 9.03257 16.8375 9.26326 17.4113 9.9092 17.76 10.7281 17.76 11.7432c0 3.5411-2.1037 4.3255-4.1063 4.5561C13.98 16.5877 14.2613 17.1414 14.2613 18.0065 14.2613 19.2407 14.25 20.2326 14.25 20.5441 14.25 20.7863 14.4188 21.0746 14.8688 20.9824 16.6554 20.364 18.2079 19.1866 19.3078 17.6162c1.0999-1.5705 1.6917-3.4551 1.6922-5.3886C21 7.12937 16.9725 3 12 3z"/></svg>
+<span class=hx-sr-only>GitHub</span>
+</a><a class="hx-p-2 hx-text-current" target=_blank rel=noreferer href=https://discord.com/invite/K3JFd9d3wk title=Discord><svg height="24" viewBox="0 0 24 24"><path fill="currentcolor" d="M20.317 4.3698a19.7913 19.7913.0 00-4.8851-1.5152.0741.0741.0 00-.0785.0371c-.211.3753-.4447.8648-.6083 1.2495-1.8447-.2762-3.68-.2762-5.4868.0-.1636-.3933-.4058-.8742-.6177-1.2495a.077.077.0 00-.0785-.037 19.7363 19.7363.0 00-4.8852 1.515.0699.0699.0 00-.0321.0277C.5334 9.0458-.319 13.5799.0992 18.0578a.0824.0824.0 00.0312.0561c2.0528 1.5076 4.0413 2.4228 5.9929 3.0294a.0777.0777.0 00.0842-.0276c.4616-.6304.8731-1.2952 1.226-1.9942a.076.076.0 00-.0416-.1057c-.6528-.2476-1.2743-.5495-1.8722-.8923a.077.077.0 01-.0076-.1277c.1258-.0943.2517-.1923.3718-.2914a.0743.0743.0 01.0776-.0105c3.9278 1.7933 8.18 1.7933 12.0614.0a.0739.0739.0 01.0785.0095c.1202.099.246.1981.3728.2924a.077.077.0 01-.0066.1276 12.2986 12.2986.0 01-1.873.8914.0766.0766.0 00-.0407.1067c.3604.698.7719 1.3628 1.225 1.9932a.076.076.0 00.0842.0286c1.961-.6067 3.9495-1.5219 6.0023-3.0294a.077.077.0 00.0313-.0552c.5004-5.177-.8382-9.6739-3.5485-13.6604a.061.061.0 00-.0312-.0286zM8.02 15.3312c-1.1825.0-2.1569-1.0857-2.1569-2.419.0-1.3332.9555-2.4189 2.157-2.4189 1.2108.0 2.1757 1.0952 2.1568 2.419.0 1.3332-.9555 2.4189-2.1569 2.4189zm7.9748.0c-1.1825.0-2.1569-1.0857-2.1569-2.419.0-1.3332.9554-2.4189 2.1569-2.4189 1.2108.0 2.1757 1.0952 2.1568 2.419.0 1.3332-.946 2.4189-2.1568 2.4189z"/></svg><span class=hx-sr-only>Discord</span>
 </a><button type=button aria-label=Menu class="hamburger-menu -hx-mr-2 hx-rounded hx-p-2 active:hx-bg-gray-400/20 md:hx-hidden"><svg height="24" fill="none" viewBox="0 0 24 24" stroke="currentcolor"><g><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M4 8H20"/></g><g><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M4 16H20"/></g></svg></button></nav></div><div class='hx-mx-auto hx-flex hx-max-w-screen-xl'><div class="mobile-menu-overlay [transition:background-color_1.5s_ease] hx-fixed hx-inset-0 hx-z-10 hx-bg-black/80 dark:hx-bg-black/60 hx-hidden"></div><aside class="sidebar-container hx-flex hx-flex-col print:hx-hidden md:hx-top-16 md:hx-shrink-0 md:hx-w-64 md:hx-self-start max-md:[transform:translate3d(0,-100%,0)] md:hx-hidden xl:hx-block"><div class="hx-px-4 hx-pt-4 md:hx-hidden"><div class="search-wrapper hx-relative md:hx-w-64"><div class="hx-relative hx-flex hx-items-center hx-text-gray-900 contrast-more:hx-text-gray-800 dark:hx-text-gray-300 contrast-more:dark:hx-text-gray-300"><input placeholder=Buscar... class="search-input hx-block hx-w-full hx-appearance-none hx-rounded-lg hx-px-3 hx-py-2 hx-transition-colors hx-text-base hx-leading-tight md:hx-text-sm hx-bg-black/[.05] dark:hx-bg-gray-50/10 focus:hx-bg-white dark:focus:hx-bg-dark placeholder:hx-text-gray-500 dark:placeholder:hx-text-gray-400 contrast-more:hx-border contrast-more:hx-border-current" type=search spellcheck=false>
 <kbd class="hx-absolute hx-my-1.5 hx-select-none ltr:hx-right-1.5 rtl:hx-left-1.5 hx-h-5 hx-rounded hx-bg-white hx-px-1.5 hx-font-mono hx-text-[10px] hx-font-medium hx-text-gray-500 hx-border dark:hx-border-gray-100/20 dark:hx-bg-dark/50 contrast-more:hx-border-current contrast-more:hx-text-current contrast-more:dark:hx-border-current hx-items-center hx-gap-1 hx-transition-opacity hx-pointer-events-none hx-hidden sm:hx-flex">CTRL K</kbd></div><div><ul class="search-results hextra-scrollbar hx-hidden hx-border hx-border-gray-200 hx-bg-white hx-text-gray-100 dark:hx-border-neutral-800 dark:hx-bg-neutral-900 hx-absolute hx-top-full hx-z-20 hx-mt-2 hx-overflow-auto hx-overscroll-contain hx-rounded-xl hx-py-2.5 hx-shadow-xl hx-max-h-[min(calc(50vh-11rem-env(safe-area-inset-bottom)),400px)] md:hx-max-h-[min(calc(100vh-5rem-env(safe-area-inset-bottom)),400px)] hx-inset-x-0 ltr:md:hx-left-auto rtl:md:hx-right-auto contrast-more:hx-border contrast-more:hx-border-gray-900 contrast-more:dark:hx-border-gray-50 hx-w-screen hx-min-h-[100px] hx-max-w-[min(calc(100vw-2rem),calc(100%+20rem))]" style="transition:max-height .2s ease 0s"></ul></div></div></div><div class="hextra-scrollbar hx-overflow-y-auto hx-overflow-x-hidden hx-p-4 hx-grow md:hx-h-[calc(100vh-var(--navbar-height)-var(--menu-height))]"><ul class="hx-flex hx-flex-col hx-gap-1 md:hx-hidden"><li class=open><a class="hx-flex hx-items-center hx-justify-between hx-gap-2 hx-cursor-pointer hx-rounded hx-px-2 hx-py-1.5 hx-text-sm hx-transition-colors [-webkit-tap-highlight-color:transparent] [-webkit-touch-callout:none] [word-break:break-word]
 hx-text-gray-500 hover:hx-bg-gray-100 hover:hx-text-gray-900 contrast-more:hx-border contrast-more:hx-border-transparent contrast-more:hx-text-gray-900 contrast-more:hover:hx-border-gray-900 dark:hx-text-neutral-400 dark:hover:hx-bg-primary-100/5 dark:hover:hx-text-gray-50 contrast-more:dark:hx-text-gray-50 contrast-more:dark:hover:hx-border-gray-50" href=/posts/>Entradas del blog omegaUp
diff --git a/posts/categorias/index.html b/posts/categorias/index.html
index f66c718..b478203 100644
--- a/posts/categorias/index.html
+++ b/posts/categorias/index.html
@@ -17,6 +17,10 @@
 Hemos asignando una categoría a cada usuario de omegaUp. La categoría de cada usuario depende su posición actual en el ranking de omegaUp como se muestra a continuación:
 El top 1% de usuarios mejor posicionados en el rank obtiene la categoría ω (“omega pequeña”) y color rojo. El top 9% de usuarios siguientes obtiene categoría Ω (“omega grande”) y color amarillo. El top 15% de usuarios siguientes obtiene categoría Θ (“zeta” o “theta”) y color azul. El top 35% de usuarios siguientes obtiene categoría Ο (“ómicron grande”) y color verde. El top 40% de usuarios siguientes obtiene categoría ο (“ómicron pequeña”) y color gris."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
 <img class="hx-hidden dark:hx-block" src=/logo/%ce%a9Up-dark.png alt="omegaUp blog" height=36 width=70>
+</a><a title=Blog href=/posts class="hx-text-sm contrast-more:hx-text-gray-700 contrast-more:dark:hx-text-gray-100 hx-relative -hx-ml-2 hx-hidden hx-whitespace-nowrap hx-p-2 md:hx-inline-block hx-font-medium"><span class=hx-text-center>Blog</span></a><div class="search-wrapper hx-relative md:hx-w-64"><div class="hx-relative hx-flex hx-items-center hx-text-gray-900 contrast-more:hx-text-gray-800 dark:hx-text-gray-300 contrast-more:dark:hx-text-gray-300"><input placeholder=Buscar... class="search-input hx-block hx-w-full hx-appearance-none hx-rounded-lg hx-px-3 hx-py-2 hx-transition-colors hx-text-base hx-leading-tight md:hx-text-sm hx-bg-black/[.05] dark:hx-bg-gray-50/10 focus:hx-bg-white dark:focus:hx-bg-dark placeholder:hx-text-gray-500 dark:placeholder:hx-text-gray-400 contrast-more:hx-border contrast-more:hx-border-current" type=search spellcheck=false>
+<kbd class="hx-absolute hx-my-1.5 hx-select-none ltr:hx-right-1.5 rtl:hx-left-1.5 hx-h-5 hx-rounded hx-bg-white hx-px-1.5 hx-font-mono hx-text-[10px] hx-font-medium hx-text-gray-500 hx-border dark:hx-border-gray-100/20 dark:hx-bg-dark/50 contrast-more:hx-border-current contrast-more:hx-text-current contrast-more:dark:hx-border-current hx-items-center hx-gap-1 hx-transition-opacity hx-pointer-events-none hx-hidden sm:hx-flex">CTRL K</kbd></div><div><ul class="search-results hextra-scrollbar hx-hidden hx-border hx-border-gray-200 hx-bg-white hx-text-gray-100 dark:hx-border-neutral-800 dark:hx-bg-neutral-900 hx-absolute hx-top-full hx-z-20 hx-mt-2 hx-overflow-auto hx-overscroll-contain hx-rounded-xl hx-py-2.5 hx-shadow-xl hx-max-h-[min(calc(50vh-11rem-env(safe-area-inset-bottom)),400px)] md:hx-max-h-[min(calc(100vh-5rem-env(safe-area-inset-bottom)),400px)] hx-inset-x-0 ltr:md:hx-left-auto rtl:md:hx-right-auto contrast-more:hx-border contrast-more:hx-border-gray-900 contrast-more:dark:hx-border-gray-50 hx-w-screen hx-min-h-[100px] hx-max-w-[min(calc(100vw-2rem),calc(100%+20rem))]" style="transition:max-height .2s ease 0s"></ul></div></div><a class="hx-p-2 hx-text-current" target=_blank rel=noreferer href=https://github.com/omegaup title=GitHub><svg height="24" fill="currentcolor" viewBox="3 3 18 18"><path d="M12 3C7.0275 3 3 7.12937 3 12.2276c0 4.0833 2.57625 7.5321 6.15374 8.7548C9.60374 21.0631 9.77249 20.7863 9.77249 20.5441 9.77249 20.3249 9.76125 19.5982 9.76125 18.8254 7.5 19.2522 6.915 18.2602 6.735 17.7412 6.63375 17.4759 6.19499 16.6569 5.8125 16.4378 5.4975 16.2647 5.0475 15.838 5.80124 15.8264 6.51 15.8149 7.01625 16.4954 7.18499 16.7723 7.99499 18.1679 9.28875 17.7758 9.80625 17.5335 9.885 16.9337 10.1212 16.53 10.38 16.2993 8.3775 16.0687 6.285 15.2728 6.285 11.7432c0-1.0035.34875-1.834.92249-2.47994C7.1175 9.03257 6.8025 8.08674 7.2975 6.81794c0 0 .753749999999999-.24223 2.47499.94583.72001-.20762 1.48501-.31143 2.25001-.31143C12.7875 7.45234 13.5525 7.55615 14.2725 7.76377c1.7212-1.19959 2.475-.94583 2.475-.94583C17.2424 8.08674 16.9275 9.03257 16.8375 9.26326 17.4113 9.9092 17.76 10.7281 17.76 11.7432c0 3.5411-2.1037 4.3255-4.1063 4.5561C13.98 16.5877 14.2613 17.1414 14.2613 18.0065 14.2613 19.2407 14.25 20.2326 14.25 20.5441 14.25 20.7863 14.4188 21.0746 14.8688 20.9824 16.6554 20.364 18.2079 19.1866 19.3078 17.6162c1.0999-1.5705 1.6917-3.4551 1.6922-5.3886C21 7.12937 16.9725 3 12 3z"/></svg>
+<span class=hx-sr-only>GitHub</span>
+</a><a class="hx-p-2 hx-text-current" target=_blank rel=noreferer href=https://discord.com/invite/K3JFd9d3wk title=Discord><svg height="24" viewBox="0 0 24 24"><path fill="currentcolor" d="M20.317 4.3698a19.7913 19.7913.0 00-4.8851-1.5152.0741.0741.0 00-.0785.0371c-.211.3753-.4447.8648-.6083 1.2495-1.8447-.2762-3.68-.2762-5.4868.0-.1636-.3933-.4058-.8742-.6177-1.2495a.077.077.0 00-.0785-.037 19.7363 19.7363.0 00-4.8852 1.515.0699.0699.0 00-.0321.0277C.5334 9.0458-.319 13.5799.0992 18.0578a.0824.0824.0 00.0312.0561c2.0528 1.5076 4.0413 2.4228 5.9929 3.0294a.0777.0777.0 00.0842-.0276c.4616-.6304.8731-1.2952 1.226-1.9942a.076.076.0 00-.0416-.1057c-.6528-.2476-1.2743-.5495-1.8722-.8923a.077.077.0 01-.0076-.1277c.1258-.0943.2517-.1923.3718-.2914a.0743.0743.0 01.0776-.0105c3.9278 1.7933 8.18 1.7933 12.0614.0a.0739.0739.0 01.0785.0095c.1202.099.246.1981.3728.2924a.077.077.0 01-.0066.1276 12.2986 12.2986.0 01-1.873.8914.0766.0766.0 00-.0407.1067c.3604.698.7719 1.3628 1.225 1.9932a.076.076.0 00.0842.0286c1.961-.6067 3.9495-1.5219 6.0023-3.0294a.077.077.0 00.0313-.0552c.5004-5.177-.8382-9.6739-3.5485-13.6604a.061.061.0 00-.0312-.0286zM8.02 15.3312c-1.1825.0-2.1569-1.0857-2.1569-2.419.0-1.3332.9555-2.4189 2.157-2.4189 1.2108.0 2.1757 1.0952 2.1568 2.419.0 1.3332-.9555 2.4189-2.1569 2.4189zm7.9748.0c-1.1825.0-2.1569-1.0857-2.1569-2.419.0-1.3332.9554-2.4189 2.1569-2.4189 1.2108.0 2.1757 1.0952 2.1568 2.419.0 1.3332-.946 2.4189-2.1568 2.4189z"/></svg><span class=hx-sr-only>Discord</span>
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 <kbd class="hx-absolute hx-my-1.5 hx-select-none ltr:hx-right-1.5 rtl:hx-left-1.5 hx-h-5 hx-rounded hx-bg-white hx-px-1.5 hx-font-mono hx-text-[10px] hx-font-medium hx-text-gray-500 hx-border dark:hx-border-gray-100/20 dark:hx-bg-dark/50 contrast-more:hx-border-current contrast-more:hx-text-current contrast-more:dark:hx-border-current hx-items-center hx-gap-1 hx-transition-opacity hx-pointer-events-none hx-hidden sm:hx-flex">CTRL K</kbd></div><div><ul class="search-results hextra-scrollbar hx-hidden hx-border hx-border-gray-200 hx-bg-white hx-text-gray-100 dark:hx-border-neutral-800 dark:hx-bg-neutral-900 hx-absolute hx-top-full hx-z-20 hx-mt-2 hx-overflow-auto hx-overscroll-contain hx-rounded-xl hx-py-2.5 hx-shadow-xl hx-max-h-[min(calc(50vh-11rem-env(safe-area-inset-bottom)),400px)] md:hx-max-h-[min(calc(100vh-5rem-env(safe-area-inset-bottom)),400px)] hx-inset-x-0 ltr:md:hx-left-auto rtl:md:hx-right-auto contrast-more:hx-border contrast-more:hx-border-gray-900 contrast-more:dark:hx-border-gray-50 hx-w-screen hx-min-h-[100px] hx-max-w-[min(calc(100vw-2rem),calc(100%+20rem))]" style="transition:max-height .2s ease 0s"></ul></div></div></div><div class="hextra-scrollbar hx-overflow-y-auto hx-overflow-x-hidden hx-p-4 hx-grow md:hx-h-[calc(100vh-var(--navbar-height)-var(--menu-height))]"><ul class="hx-flex hx-flex-col hx-gap-1 md:hx-hidden"><li class=open><a class="hx-flex hx-items-center hx-justify-between hx-gap-2 hx-cursor-pointer hx-rounded hx-px-2 hx-py-1.5 hx-text-sm hx-transition-colors [-webkit-tap-highlight-color:transparent] [-webkit-touch-callout:none] [word-break:break-word]
 hx-text-gray-500 hover:hx-bg-gray-100 hover:hx-text-gray-900 contrast-more:hx-border contrast-more:hx-border-transparent contrast-more:hx-text-gray-900 contrast-more:hover:hx-border-gray-900 dark:hx-text-neutral-400 dark:hover:hx-bg-primary-100/5 dark:hover:hx-text-gray-50 contrast-more:dark:hx-text-gray-50 contrast-more:dark:hover:hx-border-gray-50" href=/posts/>Entradas del blog omegaUp
diff --git a/posts/chocolates/index.html b/posts/chocolates/index.html
index eab57cf..1fc55f4 100644
--- a/posts/chocolates/index.html
+++ b/posts/chocolates/index.html
@@ -9,6 +9,10 @@
 En este problema tenemos un tubo de chocolates los cuales se van a vender uno cada día, pudiendo vender únicamente los que están en ese momento en los extremos. El precio por vender un chocolate es igual al precio base de chocolate multiplicado por el número de días que se han vendido chocolates (empezando en 1).
 El objetivo es encontrar la mayor ganancia posible al vender todos los chocolates."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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+</a><a title=Blog href=/posts class="hx-text-sm contrast-more:hx-text-gray-700 contrast-more:dark:hx-text-gray-100 hx-relative -hx-ml-2 hx-hidden hx-whitespace-nowrap hx-p-2 md:hx-inline-block hx-font-medium"><span class=hx-text-center>Blog</span></a><div class="search-wrapper hx-relative md:hx-w-64"><div class="hx-relative hx-flex hx-items-center hx-text-gray-900 contrast-more:hx-text-gray-800 dark:hx-text-gray-300 contrast-more:dark:hx-text-gray-300"><input placeholder=Buscar... class="search-input hx-block hx-w-full hx-appearance-none hx-rounded-lg hx-px-3 hx-py-2 hx-transition-colors hx-text-base hx-leading-tight md:hx-text-sm hx-bg-black/[.05] dark:hx-bg-gray-50/10 focus:hx-bg-white dark:focus:hx-bg-dark placeholder:hx-text-gray-500 dark:placeholder:hx-text-gray-400 contrast-more:hx-border contrast-more:hx-border-current" type=search spellcheck=false>
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diff --git a/posts/codigo-de-conducta-en-omegaup/index.html b/posts/codigo-de-conducta-en-omegaup/index.html
index 32a809a..b4b9354 100644
--- a/posts/codigo-de-conducta-en-omegaup/index.html
+++ b/posts/codigo-de-conducta-en-omegaup/index.html
@@ -15,6 +15,10 @@
 En general y en especial en los concursos, cursos, el blog y redes sociales de omegaUp se crea una comunidad, donde se espera que los usuarios actúen con respeto y empatía hacia los demás. Todos los códigos enviados por los usuarios deben estar dirigidos a resolver el problema y no a violar las reglas o desestabilizar el sistema (el juez). Los usuarios no deben participar en ninguna actividad injusta que influya en los resultados propios o de cualquier otro usuario. Se debe asegurar con el profesor del curso, u organizador del concurso, si está permitido el uso de libros, notas, herramientas y código que hayas escrito previamente. Todos deben respetar los derechos de autor. Esto significa que, si se utiliza código de otra persona, el usuario debe contar con permiso explícito del autor original para hacerlo. Igualmente, los usuarios que desean añadir un problema de un tercero a la plataforma, deben seguir las reglas de reproducción o contar con permiso explícito del autor para hacerlo. El contenido que aporten los usuarios a la plataforma no debe ser inapropiado, ni ofensivo. Esto quiere decir que no se permite contenido que promueva insultos, acoso de ningún tipo, comentarios despectivos o publicar información personal de otros. Intentar extraer el código de otro usuario sin su permiso se considera trampa. Cualquier violación a estas reglas dará lugar a disposiciones de penalización, incluyendo descalificación al Rank General o a los programas de Coder del Mes o desactivación de la cuenta."><meta itemprop=datePublished content="2020-04-23T01:11:47+00:00"><meta itemprop=dateModified content="2020-04-23T01:11:47+00:00"><meta itemprop=wordCount content="279"><meta itemprop=keywords content="Policies,OmegaUp"><meta name=twitter:card content="summary"><meta name=twitter:title content="Código de Conducta en omegaUp"><meta name=twitter:description content="omegaUp es una plataforma educativa y creemos que debemos fomentar un ambiente con respeto y la mismas oportunidades para todos. Por ello creamos el siguiente Código de Conducta, que debes cumplir para utilizar omegaUp.com.
 En general y en especial en los concursos, cursos, el blog y redes sociales de omegaUp se crea una comunidad, donde se espera que los usuarios actúen con respeto y empatía hacia los demás. Todos los códigos enviados por los usuarios deben estar dirigidos a resolver el problema y no a violar las reglas o desestabilizar el sistema (el juez). Los usuarios no deben participar en ninguna actividad injusta que influya en los resultados propios o de cualquier otro usuario. Se debe asegurar con el profesor del curso, u organizador del concurso, si está permitido el uso de libros, notas, herramientas y código que hayas escrito previamente. Todos deben respetar los derechos de autor. Esto significa que, si se utiliza código de otra persona, el usuario debe contar con permiso explícito del autor original para hacerlo. Igualmente, los usuarios que desean añadir un problema de un tercero a la plataforma, deben seguir las reglas de reproducción o contar con permiso explícito del autor para hacerlo. El contenido que aporten los usuarios a la plataforma no debe ser inapropiado, ni ofensivo. Esto quiere decir que no se permite contenido que promueva insultos, acoso de ningún tipo, comentarios despectivos o publicar información personal de otros. Intentar extraer el código de otro usuario sin su permiso se considera trampa. Cualquier violación a estas reglas dará lugar a disposiciones de penalización, incluyendo descalificación al Rank General o a los programas de Coder del Mes o desactivación de la cuenta."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/como-contribuir-correr-y-editar-omegaup-en-tu-maquina-local/index.html b/posts/como-contribuir-correr-y-editar-omegaup-en-tu-maquina-local/index.html
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--- a/posts/como-contribuir-correr-y-editar-omegaup-en-tu-maquina-local/index.html
+++ b/posts/como-contribuir-correr-y-editar-omegaup-en-tu-maquina-local/index.html
@@ -1,6 +1,10 @@
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diff --git a/posts/conacup-2012-todo-un-exito/index.html b/posts/conacup-2012-todo-un-exito/index.html
index c05a322..1ea7dd1 100644
--- a/posts/conacup-2012-todo-un-exito/index.html
+++ b/posts/conacup-2012-todo-un-exito/index.html
@@ -13,6 +13,10 @@
 El equipo organizador del CONACUP 2012El equipo organizador del CONACUP 2012
 Nos da mucho gusto que Omegaup fue la plataforma oficial para la evaluación de los problemas y estamos completamente comprometidos con el proyecto para los años venideros."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/concursos-con-subtareas/index.html b/posts/concursos-con-subtareas/index.html
index 555f570..82f97da 100644
--- a/posts/concursos-con-subtareas/index.html
+++ b/posts/concursos-con-subtareas/index.html
@@ -11,6 +11,10 @@
 AntecedentesAnteriormente en omegaUp sólo se contaba con dos distintos tipos de concursos:
 Calificación parcial: En este modo de concursos se tomaba en cuenta el mayor puntaje de la suma de todos los grupos de casos. El modo era utilizado para los concursos de la OMI, entre otros."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/concursos-en-modo-virtual/index.html b/posts/concursos-en-modo-virtual/index.html
index b069a05..2cc07cb 100644
--- a/posts/concursos-en-modo-virtual/index.html
+++ b/posts/concursos-en-modo-virtual/index.html
@@ -17,6 +17,10 @@
 Concursos en modo virtual te permite reproducir un concurso pasado en un modo especial que imita el concurso real como sucedió. Con el scoreboard reproduciéndose en sincronía con el concurso original.
 Estos son los pasos a seguir para crear y participar en un concurso en modo virtual:"><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/concursos-por-equipos/index.html b/posts/concursos-por-equipos/index.html
index 9f0e50f..05583c8 100644
--- a/posts/concursos-por-equipos/index.html
+++ b/posts/concursos-por-equipos/index.html
@@ -5,6 +5,10 @@
 Si estás familiarizado con la plataforma encontrarás similitud con funcionalidades que ya existen desde hace tiempo. Si no es el caso, comenzamos con el primer paso."><meta itemprop=datePublished content="2022-03-24T14:35:06+00:00"><meta itemprop=dateModified content="2022-03-24T14:35:06+00:00"><meta itemprop=wordCount content="1304"><meta itemprop=keywords content="Features,Concursos,Anuncios,OmegaUp"><meta name=twitter:card content="summary"><meta name=twitter:title content="Concursos por equipos"><meta name=twitter:description content="Nos es grato informar que hemos liberado una nueva funcionalidad llamada “Concursos por equipos”, para poder atender los concursos con formato de ICPC, los cuales se realizan en equipos. Para que esta nueva modalidad de concursos pueda utilizarse, también se han liberado algunas características extras que se describirán más adelante.
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diff --git a/posts/concursos-recomendados/index.html b/posts/concursos-recomendados/index.html
index 411d2cb..8bcec6c 100644
--- a/posts/concursos-recomendados/index.html
+++ b/posts/concursos-recomendados/index.html
@@ -21,6 +21,10 @@
 Los únicos requerimientos son:
 Que el concurso sea formalmente establecido (sea parte de una olimpiada, concurso de ACM u algún otro concurso de programación). Que el creador del concurso se comprometa a mantenerlo en buen estado respondiendo las clarificaciones que pueda. Idealmente los Concursos Recomendados deben tener problemas nuevos aunque no es estrictamente necesario. El tamaño del concurso no importa. Concursos privados que cumplan estos requerimientos y que se planean hacer públicos posteriormente también cuentan. Esperamos sus comentarios."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/concursos-virtuales/index.html b/posts/concursos-virtuales/index.html
index 7a18a88..4ba01e9 100644
--- a/posts/concursos-virtuales/index.html
+++ b/posts/concursos-virtuales/index.html
@@ -9,6 +9,10 @@
 ¡El futuro es hoy! Todo esto ya es posible en omegaUp gracias a la nueva funcionalidad de “concursos virtuales”.
 Para activar esta nueva funcionalidad simplemente elige un concurso en la arena y selecciona “Concurso virtual”, el concurso empezará y la lista de posiciones se irá actualizando conforme los participantes del concurso fueron subiendo sus soluciones, así podrás saber cómo te va con respecto a los competidores que participaron en el concurso."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/el-camino-de-mexico-rumbo-a-la-ioi-2015/index.html b/posts/el-camino-de-mexico-rumbo-a-la-ioi-2015/index.html
index ff0bcf0..983d776 100644
--- a/posts/el-camino-de-mexico-rumbo-a-la-ioi-2015/index.html
+++ b/posts/el-camino-de-mexico-rumbo-a-la-ioi-2015/index.html
@@ -14,6 +14,10 @@
 De izquierda a derecha, los integrantes de la Selección Mexicana de Informática 2015 son:
 **MEX-4: Emmanuel Antonio Cuevas **(Emmanuel_Antonio) **MEX-2: Carlos Galeana Hernández **(charlyhlms) MEX-1: Juan Carlos Sigler Priego (Juan_Carlos_Sigler_Priego) **MEX-3: Ángel David Ortega Ramírez **(blak_dragon1)"><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/el-camino-rumbo-a-la-ioi-2014/index.html b/posts/el-camino-rumbo-a-la-ioi-2014/index.html
index 85f1e98..cbda328 100644
--- a/posts/el-camino-rumbo-a-la-ioi-2014/index.html
+++ b/posts/el-camino-rumbo-a-la-ioi-2014/index.html
@@ -19,6 +19,10 @@
 Selección Mexicana de Informática 2014 De izquierda a derecha, nuestros seleccionados son:
 Carlos Galeana Hernández del Distrito Federal Daniel Talamás Cano de Coahuila Diego Alonso Roque Montoya de Nuevo León Jordán Alexander Salas de Coahuila Nuevamente, nuestra selección cuenta con 3 ganadores absolutos de la Olimpiada Mexicana de Informática: Jordán ganó la OMI 2014, Talamás ganó la OMI 2013 y Diego Roque ganó la OMI 2012. Les deseamos la mejor de las suertes!"><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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 <kbd class="hx-absolute hx-my-1.5 hx-select-none ltr:hx-right-1.5 rtl:hx-left-1.5 hx-h-5 hx-rounded hx-bg-white hx-px-1.5 hx-font-mono hx-text-[10px] hx-font-medium hx-text-gray-500 hx-border dark:hx-border-gray-100/20 dark:hx-bg-dark/50 contrast-more:hx-border-current contrast-more:hx-text-current contrast-more:dark:hx-border-current hx-items-center hx-gap-1 hx-transition-opacity hx-pointer-events-none hx-hidden sm:hx-flex">CTRL K</kbd></div><div><ul class="search-results hextra-scrollbar hx-hidden hx-border hx-border-gray-200 hx-bg-white hx-text-gray-100 dark:hx-border-neutral-800 dark:hx-bg-neutral-900 hx-absolute hx-top-full hx-z-20 hx-mt-2 hx-overflow-auto hx-overscroll-contain hx-rounded-xl hx-py-2.5 hx-shadow-xl hx-max-h-[min(calc(50vh-11rem-env(safe-area-inset-bottom)),400px)] md:hx-max-h-[min(calc(100vh-5rem-env(safe-area-inset-bottom)),400px)] hx-inset-x-0 ltr:md:hx-left-auto rtl:md:hx-right-auto contrast-more:hx-border contrast-more:hx-border-gray-900 contrast-more:dark:hx-border-gray-50 hx-w-screen hx-min-h-[100px] hx-max-w-[min(calc(100vw-2rem),calc(100%+20rem))]" style="transition:max-height .2s ease 0s"></ul></div></div></div><div class="hextra-scrollbar hx-overflow-y-auto hx-overflow-x-hidden hx-p-4 hx-grow md:hx-h-[calc(100vh-var(--navbar-height)-var(--menu-height))]"><ul class="hx-flex hx-flex-col hx-gap-1 md:hx-hidden"><li class=open><a class="hx-flex hx-items-center hx-justify-between hx-gap-2 hx-cursor-pointer hx-rounded hx-px-2 hx-py-1.5 hx-text-sm hx-transition-colors [-webkit-tap-highlight-color:transparent] [-webkit-touch-callout:none] [word-break:break-word]
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diff --git a/posts/el-nuevo-buscador-de-problemas-de-omegaup/index.html b/posts/el-nuevo-buscador-de-problemas-de-omegaup/index.html
index 9d89a9b..0098253 100644
--- a/posts/el-nuevo-buscador-de-problemas-de-omegaup/index.html
+++ b/posts/el-nuevo-buscador-de-problemas-de-omegaup/index.html
@@ -9,6 +9,10 @@
 Hemos creado un Asistente de búsqueda de problemas. Aprovechando las etiquetas y puntuaciones de calidad y de dificultad que ustedes han venido otorgándole a los problemas de la plataforma, hemos implementado este nuevo buscador que permite filtrar los problemas que les interesen en base a diversos temas y la dificultad que éstos deberían poseer.
 El Asistente de búsqueda de problemas es una alternativa más fácil de usar para usuarios iniciantes de omegaUp y permite que todos puedan mejorar sus habilidades de programación en tópicos específicos."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/el-nuevo-ranking-de-escuelas-de-omegaup/index.html b/posts/el-nuevo-ranking-de-escuelas-de-omegaup/index.html
index 199d408..8773911 100644
--- a/posts/el-nuevo-ranking-de-escuelas-de-omegaup/index.html
+++ b/posts/el-nuevo-ranking-de-escuelas-de-omegaup/index.html
@@ -16,6 +16,10 @@
 Queremos presentarles el nuevo ranking de escuelas de omegaUp, tanto mensual como histórico. Cada uno de ellos funciona de manera similar, salvo por algunas variaciones que detallaremos a continuación:
 El score de una escuela para el ranking mensual, se obtiene a partir de la suma de los puntos que provee cada problema que los usuarios de la escuela han resuelto dentro del mes actual. Contamos los puntos de cada problema una única vez, por lo que si 10 usuarios de una misma escuela, resolvieron el mismo problema que otorgaba 0.5 puntos, la contribución de éstos es 0.5 y no 5 (0.5*10)."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/el-nuevo-ranking-de-omegaup/index.html b/posts/el-nuevo-ranking-de-omegaup/index.html
index 893785e..72d6420 100644
--- a/posts/el-nuevo-ranking-de-omegaup/index.html
+++ b/posts/el-nuevo-ranking-de-omegaup/index.html
@@ -5,6 +5,10 @@
 Para ser más precisos, estamos definiendo los puntos que da un problema así: $latex P_i = \frac{100}{log_2(N+1)}$, donde $latex N$ representa la cantidad de ACs que tiene un problema. Entre más ACs tenga un problema, menos puntos va a valer. Sólo estamos contando a lo más 1 AC por usuario para evitar que las soluciones de una misma persona afecten artificialmente los puntos de score del problema."><meta itemprop=datePublished content="2014-06-12T14:42:18+00:00"><meta itemprop=dateModified content="2014-06-12T14:42:18+00:00"><meta itemprop=wordCount content="301"><meta itemprop=keywords content="Features,Ranking,Internals"><meta name=twitter:card content="summary"><meta name=twitter:title content="El nuevo ranking de omegaUp"><meta name=twitter:description content="Con este commit hemos introducido un cambio significativo en la forma de calcular el ranking general de omegaUp. Ahora no sólo es importante cuántos problemas ha resuelto un usuario sino que también estamos incluyendo la dificultad de cada uno de esos problemas. La dificultad es inversamente proporcional a la cantidad de soluciones completas (AC) que tiene ese problema.
 Para ser más precisos, estamos definiendo los puntos que da un problema así: $latex P_i = \frac{100}{log_2(N+1)}$, donde $latex N$ representa la cantidad de ACs que tiene un problema. Entre más ACs tenga un problema, menos puntos va a valer. Sólo estamos contando a lo más 1 AC por usuario para evitar que las soluciones de una misma persona afecten artificialmente los puntos de score del problema."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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 hx-text-gray-500 hover:hx-bg-gray-100 hover:hx-text-gray-900 contrast-more:hx-border contrast-more:hx-border-transparent contrast-more:hx-text-gray-900 contrast-more:hover:hx-border-gray-900 dark:hx-text-neutral-400 dark:hover:hx-bg-primary-100/5 dark:hover:hx-text-gray-50 contrast-more:dark:hx-text-gray-50 contrast-more:dark:hover:hx-border-gray-50" href=/posts/>Entradas del blog omegaUp
diff --git a/posts/engranes-khayyam-solucion-enrique-lira/index.html b/posts/engranes-khayyam-solucion-enrique-lira/index.html
index 9600b87..a4bbe1c 100644
--- a/posts/engranes-khayyam-solucion-enrique-lira/index.html
+++ b/posts/engranes-khayyam-solucion-enrique-lira/index.html
@@ -5,6 +5,10 @@
 Para poder resolver este problema hay que ver ciertas propiedades a las cuales podemos llegar fácilmente a partir de ejemplos. Una primera duda que nos surge es: ¿Vuelve al estado inicial?, si hacemos un par de ejemplos podemos ver que si, otra duda que nos surge es: ¿Cuándo vuelve al estado inicial?, y aquí comienza lo complicado. Para saber cuando vuelve a su estado inicial hay que notar ciertas cosas, una de ellas es que en cuanto el diente 1 vuelve a tocar al valle 1 hemos vuelto al estado inicial, no hay forma de que el diente 0 toque al valle 0 sin haber vuelto al estado inicial, entonces hay que buscar ese instante."><meta itemprop=datePublished content="2012-10-13T04:06:46+00:00"><meta itemprop=dateModified content="2012-10-13T04:06:46+00:00"><meta itemprop=wordCount content="605"><meta itemprop=keywords content="Solution,Etapa 1,Examen 1,Khayyam,Soluciones Preselectivo 2013"><meta name=twitter:card content="summary"><meta name=twitter:title content='Solución a "Engranes"'><meta name=twitter:description content="Concurso: Preselectivo para la IOI 2013, Etapa 1, Examen 1** Autor: **Omar Ocegueda (Khayyam) **Solución por: **Enrique Lira
 Para poder resolver este problema hay que ver ciertas propiedades a las cuales podemos llegar fácilmente a partir de ejemplos. Una primera duda que nos surge es: ¿Vuelve al estado inicial?, si hacemos un par de ejemplos podemos ver que si, otra duda que nos surge es: ¿Cuándo vuelve al estado inicial?, y aquí comienza lo complicado. Para saber cuando vuelve a su estado inicial hay que notar ciertas cosas, una de ellas es que en cuanto el diente 1 vuelve a tocar al valle 1 hemos vuelto al estado inicial, no hay forma de que el diente 0 toque al valle 0 sin haber vuelto al estado inicial, entonces hay que buscar ese instante."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/gsoc2022/index.html b/posts/gsoc2022/index.html
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--- a/posts/gsoc2022/index.html
+++ b/posts/gsoc2022/index.html
@@ -3,6 +3,10 @@
     ¿Qué es Google Summer of Code?
     Google Summer of Code, o GSoC, es un programa anual internacional en el cual Google premia con estipendios económicos a aquellas personas que sean aceptadas en el programa y completen exitosamente un proyecto de contribución a un proyecto de código abierto. Este año omegaUp forma las organizaciones elegibles."><meta property="og:type" content="article"><meta property="og:url" content="https://blog.omegaup.com/posts/gsoc2022/"><meta property="article:section" content="posts"><meta property="article:published_time" content="2022-03-20T01:11:47+00:00"><meta property="article:modified_time" content="2022-03-20T01:11:47+00:00"><meta itemprop=name content="Verano de Programación de Google con omegaUp"><meta itemprop=description content="Verano de Programación de Google con omegaUp¿Te interesaría trabajar en un proyecto de Ingeniería de Software para omegaUp en un programa patrocinado por Google? Te invitamos a aplicar a Google Summer of Code 2022. ¿Qué es Google Summer of Code? Google Summer of Code, o GSoC, es un programa anual internacional en el cual Google premia con estipendios económicos a aquellas personas que sean aceptadas en el programa y completen exitosamente un proyecto de contribución a un proyecto de código abierto. Este año omegaUp forma las organizaciones elegibles."><meta itemprop=datePublished content="2022-03-20T01:11:47+00:00"><meta itemprop=dateModified content="2022-03-20T01:11:47+00:00"><meta itemprop=wordCount content="284"><meta itemprop=keywords content="News,OmegaUp"><meta name=twitter:card content="summary"><meta name=twitter:title content="Verano de Programación de Google con omegaUp"><meta name=twitter:description content="Verano de Programación de Google con omegaUp¿Te interesaría trabajar en un proyecto de Ingeniería de Software para omegaUp en un programa patrocinado por Google? Te invitamos a aplicar a Google Summer of Code 2022. ¿Qué es Google Summer of Code? Google Summer of Code, o GSoC, es un programa anual internacional en el cual Google premia con estipendios económicos a aquellas personas que sean aceptadas en el programa y completen exitosamente un proyecto de contribución a un proyecto de código abierto. Este año omegaUp forma las organizaciones elegibles."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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@@ -126,4 +130,4 @@
 <a href=#en-qu%c3%a9-proyectos-puedo-trabajar class=subheading-anchor aria-label="Permalink for this section"></a></h3><p>Tenemos una <a href=https://github.com/omegaup/omegaup/wiki/Google-Summer-of-Code-2022/#ideas-list target=_blank rel=noopener>lista de 5 proyectos</a> de la cual podrás escoger.</p><h3>¿Hay una remuneración económica?<span class="hx-absolute -hx-mt-20" id=hay-una-remuneración-económica></span>
 <a href=#hay-una-remuneraci%c3%b3n-econ%c3%b3mica class=subheading-anchor aria-label="Permalink for this section"></a></h3><p>Así es, Google otorga estipendios económicos a aquellas personas que sean aceptadas en el programa y completen exitosamente un proyecto. El monto que se otorgará depende del tamaño del proyecto y del país en el que residas. Para más detalles de los pagos ingresa a <a href=https://developers.google.com/open-source/gsoc/help/student-stipends target=_blank rel=noopener>página oficial</a> de GSoC.</p><h3>¿Cuáles son los requisitos?<span class="hx-absolute -hx-mt-20" id=cuáles-son-los-requisitos></span>
 <a href=#cu%c3%a1les-son-los-requisitos class=subheading-anchor aria-label="Permalink for this section"></a></h3><p>Cada proyecto de la <a href=https://github.com/omegaup/omegaup/wiki/Google-Summer-of-Code-2022/#ideas-list target=_blank rel=noopener>lista</a> detalla una lista de tecnologías que requiere. Además de eso, es necesario tener habilidad con git e inglés escrito y leído. <em>No</em> es necesario ser estudiante, a partir de este año cualquier persona es elegible.</p><h3>¿Cuál es el proceso de aplicación?<span class="hx-absolute -hx-mt-20" id=cuál-es-el-proceso-de-aplicación></span>
-<a href=#cu%c3%a1l-es-el-proceso-de-aplicaci%c3%b3n class=subheading-anchor aria-label="Permalink for this section"></a></h3><p>El proceso consiste de los siguientes pasos:</p><ol><li>Resuelve por lo menos 2 problemas de <a href=https://omegaup.com/arena/gsoc2022 target=_blank rel=noopener>esta prueba</a>.</li><li>Únete a nuestro canal de <a href=https://discord.com/channels/832682734115094638/951215673424613486 target=_blank rel=noopener>discord</a>.</li><li>Instala el entorno de desarrollo de omegaUp: <a href=https://github.com/omegaup/omegaup/wiki/Development-Environment-Setup-Process target=_blank rel=noopener>instrucciones</a>.</li><li>Resuelve un par de issues de tu elección de la <a href=https://github.com/omegaup/omegaup/issues target=_blank rel=noopener>lista</a>.</li><li>Escribe tu aplicación con una propuesta de solución al proyecto que hayas elegido de la <a href=https://github.com/omegaup/omegaup/wiki/Google-Summer-of-Code-2022/#ideas-list target=_blank rel=noopener>lista de ideas</a>.</li><li>Manda tu aplicación antes del <em>18 de abril</em>.</li></ol><p>Más detalles sobre el proceso de aplicación en <a href=https://github.com/omegaup/omegaup/wiki/Google-Summer-of-Code-2022/#application-process target=_blank rel=noopener>nuestro wiki</a>.</p><p><img src=https://user-images.githubusercontent.com/13296248/159149882-63dd12ef-4e45-45ea-bdbf-72d40d704481.png alt=gsoc loading=lazy></p></div><div class=hx-mt-16></div></main></article></div><footer class="hextra-footer hx-bg-gray-100 hx-pb-[env(safe-area-inset-bottom)] dark:hx-bg-neutral-900 print:hx-bg-transparent"><div class="hx-mx-auto hx-flex hx-gap-2 hx-py-2 hx-px-4 hx-max-w-screen-xl"><button title="Cambiar tema" data-theme=light class="theme-toggle hx-group hx-h-7 hx-rounded-md hx-px-2 hx-text-left hx-text-xs hx-font-medium hx-text-gray-600 hx-transition-colors dark:hx-text-gray-400 hover:hx-bg-gray-100 hover:hx-text-gray-900 dark:hover:hx-bg-primary-100/5 dark:hover:hx-text-gray-50" type=button aria-label="Cambiar tema"><div class="hx-flex hx-items-center hx-gap-2 hx-capitalize"><svg height="12" class="group-data-[theme=light]:hx-hidden" fill="none" viewBox="0 0 24 24" stroke-width="2" stroke="currentcolor" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" d="M12 3v1m0 16v1m9-9h-1M4 12H3m15.364 6.364-.707-.707M6.343 6.343l-.707-.707m12.728.0-.707.707M6.343 17.657l-.707.707M16 12a4 4 0 11-8 0 4 4 0 018 0z"/></svg><span class="group-data-[theme=light]:hx-hidden">Modo claro</span><svg height="12" class="group-data-[theme=dark]:hx-hidden" fill="none" viewBox="0 0 24 24" stroke-width="2" stroke="currentcolor" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" d="M20.354 15.354A9 9 0 018.646 3.646 9.003 9.003.0 0012 21a9.003 9.003.0 008.354-5.646z"/></svg><span class="group-data-[theme=dark]:hx-hidden">Modo oscuro</span></div></button></div><hr class=dark:hx-border-neutral-800><div class="hx-max-w-screen-xl hx-mx-auto hx-flex hx-justify-center hx-py-12 hx-pl-[max(env(safe-area-inset-left),1.5rem)] hx-pr-[max(env(safe-area-inset-right),1.5rem)] hx-text-gray-600 dark:hx-text-gray-400 md:hx-justify-start"><div class="hx-flex hx-w-full hx-flex-col hx-items-center sm:hx-items-start"><div class="hx-mt-6 hx-text-xs">Derechos reservados omegaUp © 2024.</div></div></div></footer><script defer src=/js/main.min.d0f0346255ba9418db8fcf7f9440ca4e532e06276d8df17497e19e1045ee360b.js integrity="sha256-0PA0YlW6lBjbj89/lEDKTlMuBidtjfF0l+GeEEXuNgs="></script><script defer src=/lib/flexsearch/flexsearch.bundle.min.e45e7eb129aae9f684e7f863bb7c1d612ea124b7068e12af80c58c62764a5379.js integrity="sha256-5F5+sSmq6faE5/hju3wdYS6hJLcGjhKvgMWMYnZKU3k="></script><script defer src=/es.search.min.22b690999814062b6c1f520ab1382c4b2dee00893bf5dea1e0d0415986c85591.js integrity="sha256-IraQmZgUBitsH1IKsTgsSy3uAIk79d6h4NBBWYbIVZE="></script></body></html>
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+<a href=#cu%c3%a1l-es-el-proceso-de-aplicaci%c3%b3n class=subheading-anchor aria-label="Permalink for this section"></a></h3><p>El proceso consiste de los siguientes pasos:</p><ol><li>Resuelve por lo menos 2 problemas de <a href=https://omegaup.com/arena/gsoc2022 target=_blank rel=noopener>esta prueba</a>.</li><li>Únete a nuestro canal de <a href=https://discord.com/channels/832682734115094638/951215673424613486 target=_blank rel=noopener>discord</a>.</li><li>Instala el entorno de desarrollo de omegaUp: <a href=https://github.com/omegaup/omegaup/wiki/Development-Environment-Setup-Process target=_blank rel=noopener>instrucciones</a>.</li><li>Resuelve un par de issues de tu elección de la <a href=https://github.com/omegaup/omegaup/issues target=_blank rel=noopener>lista</a>.</li><li>Escribe tu aplicación con una propuesta de solución al proyecto que hayas elegido de la <a href=https://github.com/omegaup/omegaup/wiki/Google-Summer-of-Code-2022/#ideas-list target=_blank rel=noopener>lista de ideas</a>.</li><li>Manda tu aplicación antes del <em>18 de abril</em>.</li></ol><p>Más detalles sobre el proceso de aplicación en <a href=https://github.com/omegaup/omegaup/wiki/Google-Summer-of-Code-2022/#application-process target=_blank rel=noopener>nuestro wiki</a>.</p><img align=right src=https://user-images.githubusercontent.com/13296248/159149881-43c0a42b-236b-49b6-a02f-a760647df1a5.png><p><img src=https://user-images.githubusercontent.com/13296248/159149882-63dd12ef-4e45-45ea-bdbf-72d40d704481.png alt=gsoc loading=lazy></p></div><div class=hx-mt-16></div></main></article></div><footer class="hextra-footer hx-bg-gray-100 hx-pb-[env(safe-area-inset-bottom)] dark:hx-bg-neutral-900 print:hx-bg-transparent"><div class="hx-mx-auto hx-flex hx-gap-2 hx-py-2 hx-px-4 hx-max-w-screen-xl"><button title="Cambiar tema" data-theme=light class="theme-toggle hx-group hx-h-7 hx-rounded-md hx-px-2 hx-text-left hx-text-xs hx-font-medium hx-text-gray-600 hx-transition-colors dark:hx-text-gray-400 hover:hx-bg-gray-100 hover:hx-text-gray-900 dark:hover:hx-bg-primary-100/5 dark:hover:hx-text-gray-50" type=button aria-label="Cambiar tema"><div class="hx-flex hx-items-center hx-gap-2 hx-capitalize"><svg height="12" class="group-data-[theme=light]:hx-hidden" fill="none" viewBox="0 0 24 24" stroke-width="2" stroke="currentcolor" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" d="M12 3v1m0 16v1m9-9h-1M4 12H3m15.364 6.364-.707-.707M6.343 6.343l-.707-.707m12.728.0-.707.707M6.343 17.657l-.707.707M16 12a4 4 0 11-8 0 4 4 0 018 0z"/></svg><span class="group-data-[theme=light]:hx-hidden">Modo claro</span><svg height="12" class="group-data-[theme=dark]:hx-hidden" fill="none" viewBox="0 0 24 24" stroke-width="2" stroke="currentcolor" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" d="M20.354 15.354A9 9 0 018.646 3.646 9.003 9.003.0 0012 21a9.003 9.003.0 008.354-5.646z"/></svg><span class="group-data-[theme=dark]:hx-hidden">Modo oscuro</span></div></button></div><hr class=dark:hx-border-neutral-800><div class="hx-max-w-screen-xl hx-mx-auto hx-flex hx-justify-center hx-py-12 hx-pl-[max(env(safe-area-inset-left),1.5rem)] hx-pr-[max(env(safe-area-inset-right),1.5rem)] hx-text-gray-600 dark:hx-text-gray-400 md:hx-justify-start"><div class="hx-flex hx-w-full hx-flex-col hx-items-center sm:hx-items-start"><div class="hx-mt-6 hx-text-xs">Derechos reservados omegaUp © 2024.</div></div></div></footer><script defer src=/js/main.min.d0f0346255ba9418db8fcf7f9440ca4e532e06276d8df17497e19e1045ee360b.js integrity="sha256-0PA0YlW6lBjbj89/lEDKTlMuBidtjfF0l+GeEEXuNgs="></script><script defer src=/lib/flexsearch/flexsearch.bundle.min.e45e7eb129aae9f684e7f863bb7c1d612ea124b7068e12af80c58c62764a5379.js integrity="sha256-5F5+sSmq6faE5/hju3wdYS6hJLcGjhKvgMWMYnZKU3k="></script><script defer src=/es.search.min.22b690999814062b6c1f520ab1382c4b2dee00893bf5dea1e0d0415986c85591.js integrity="sha256-IraQmZgUBitsH1IKsTgsSy3uAIk79d6h4NBBWYbIVZE="></script></body></html>
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diff --git a/posts/guia-para-la-propuesta-de-insignias-en-omegaup/index.html b/posts/guia-para-la-propuesta-de-insignias-en-omegaup/index.html
index c8841a8..e308365 100644
--- a/posts/guia-para-la-propuesta-de-insignias-en-omegaup/index.html
+++ b/posts/guia-para-la-propuesta-de-insignias-en-omegaup/index.html
@@ -17,6 +17,10 @@
 Consideraciones:
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diff --git a/posts/hackathon-omegaup-febrero-2017-resultados/index.html b/posts/hackathon-omegaup-febrero-2017-resultados/index.html
index 6281673..90e5d45 100644
--- a/posts/hackathon-omegaup-febrero-2017-resultados/index.html
+++ b/posts/hackathon-omegaup-febrero-2017-resultados/index.html
@@ -5,6 +5,10 @@
 Agradecemos la participación de todos los voluntarios que estuvieron involucrados. Los resultados que tuvimos fueron muy positivos: 50 bugs nuevos fueron descubiertos en el Bug Bash y se completaron 17 pull requests, muchos de ellos arreglando bugs que se encontraron en el mismo evento."><meta itemprop=datePublished content="2017-03-06T17:11:20+00:00"><meta itemprop=dateModified content="2017-03-06T17:11:20+00:00"><meta itemprop=wordCount content="280"><meta itemprop=keywords content="News,Anuncios,Contribuir a OmegaUp,OmegaUp"><meta name=twitter:card content="summary"><meta name=twitter:title content="Hackathon omegaUp febrero 2017 - Resultados"><meta name=twitter:description content="En omegaUp organizamos nuestro primer Hackathon del año abierto al público, del 23 al 25 de Febrero pasados. Esta vez incluimos un divertido Bug Bash, donde invitamos a nuestros voluntarios a encontrar bugs dentro de omegaUp y reportarlos en github.
 Agradecemos la participación de todos los voluntarios que estuvieron involucrados. Los resultados que tuvimos fueron muy positivos: 50 bugs nuevos fueron descubiertos en el Bug Bash y se completaron 17 pull requests, muchos de ellos arreglando bugs que se encontraron en el mismo evento."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/historias-omegaup-2018/index.html b/posts/historias-omegaup-2018/index.html
index d21b775..98576d3 100644
--- a/posts/historias-omegaup-2018/index.html
+++ b/posts/historias-omegaup-2018/index.html
@@ -14,6 +14,10 @@
 En tu historia puedes incluir temas como:
 Para ti, ¿qué significa programar? ¿Cuáles son tus sueños profesionales? ¿En este momento de tu vida qué herramienta te hace falta para acercarte a esos sueños?"><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/ibero-american-competition-in-informatics-2016-modo-practica/index.html b/posts/ibero-american-competition-in-informatics-2016-modo-practica/index.html
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@@ -263,8 +267,7 @@
 Solución de 30, 50 puntos Generar todas las combinaciones que sumen la cantidad C pedida. Para hacer esto se puede hacer con una búsqueda en profundidad de manera ordenada de la misma forma que se calculan permutaciones pero cuidando que la suma no sobrepase el valor C deseado. Esto se puede considerar una búsqueda podada.</p><p class="hx-opacity-80 hx-mt-1 hx-leading-7"><a class="hx-text-[color:hsl(var(--primary-hue),100%,50%)] hx-underline hx-underline-offset-2 hx-decoration-from-font" href=/posts/solucion-a-cambio/>Leer más →</a></p><p class="hx-opacity-50 hx-text-sm hx-mt-4 hx-leading-7">8 de enero de 2013</p></div><div class=hx-mb-10><h3><a style=color:inherit;text-decoration:none class="hx-block hx-font-semibold hx-mt-8 hx-text-2xl" href=/posts/solucion-a-minecraft/>Solución a "Minecraft"</a></h3><p class="hx-opacity-80 hx-mt-4 hx-leading-7">Concurso: Preselectivo para la IOI 2013, Etapa 1, Examen 5 **Autor: **Enrique Lira Vargas
 Este problema no requiere ninguna observación específica y realmente lo único que hay que hacer es una búsqueda.
 Para los primeros 50 puntos Este primer sub set de casos se puede resolver implementando una búsqueda en amplitud que nos dé el camino más corto entre dos puntos en un mapa con paredes.</p><p class="hx-opacity-80 hx-mt-1 hx-leading-7"><a class="hx-text-[color:hsl(var(--primary-hue),100%,50%)] hx-underline hx-underline-offset-2 hx-decoration-from-font" href=/posts/solucion-a-minecraft/>Leer más →</a></p><p class="hx-opacity-50 hx-text-sm hx-mt-4 hx-leading-7">8 de enero de 2013</p></div><div class=hx-mb-10><h3><a style=color:inherit;text-decoration:none class="hx-block hx-font-semibold hx-mt-8 hx-text-2xl" href=/posts/omegaup-apoya-al-1er-concurso-de-programacion-uvm/>OmegaUp apoya al 1er Concurso de programación UVM</a></h3><p class="hx-opacity-80 hx-mt-4 hx-leading-7">El pasado 29 de noviembre se llevó a cabo, en las instalaciones de UVM Campus Sur Guadalajara, el Primer Concurso de Programación UVM, bajo el marco del “Innovation and Technology Fest”.</p><p class="hx-opacity-80 hx-mt-1 hx-leading-7"><a class="hx-text-[color:hsl(var(--primary-hue),100%,50%)] hx-underline hx-underline-offset-2 hx-decoration-from-font" href=/posts/omegaup-apoya-al-1er-concurso-de-programacion-uvm/>Leer más →</a></p><p class="hx-opacity-50 hx-text-sm hx-mt-4 hx-leading-7">7 de enero de 2013</p></div><div class=hx-mb-10><h3><a style=color:inherit;text-decoration:none class="hx-block hx-font-semibold hx-mt-8 hx-text-2xl" href=/posts/solucion-a-k-arbol/>Solución a "K-Arbol"</a></h3><p class="hx-opacity-80 hx-mt-4 hx-leading-7">Concurso: Preselectivo para la IOI 2013, Etapa 1, Examen 5 **Autor: **Saul de Nova Caballero
-En pocas palabras el problema es, dado un árbol que se puede colorear, encuentra la menor solución satisfaciendo las restricciones dadas sobre los colores. Este problema es un caso particular de Graph Coloring(en español coloración de grafos), en donde el grafo es un árbol.
-Subcaso 1(10 puntos)Para el primer subcaso era posible hacer una búsqueda en profunidad sobre todos los nodos, encontrando la menor solución. Para guardar el árbol, era posible utilizar una matriz que guardara todos los colores posibles y entonces ver si era posible una solución con el menor color posible. La solución de este caso era trivial si se usaba una búsqueda exhaustiva.</p><p class="hx-opacity-80 hx-mt-1 hx-leading-7"><a class="hx-text-[color:hsl(var(--primary-hue),100%,50%)] hx-underline hx-underline-offset-2 hx-decoration-from-font" href=/posts/solucion-a-k-arbol/>Leer más →</a></p><p class="hx-opacity-50 hx-text-sm hx-mt-4 hx-leading-7">7 de enero de 2013</p></div><div class=hx-mb-10><h3><a style=color:inherit;text-decoration:none class="hx-block hx-font-semibold hx-mt-8 hx-text-2xl" href=/posts/solucion-a-metro/>Solución a "Metro"</a></h3><p class="hx-opacity-80 hx-mt-4 hx-leading-7">Concurso: Preselectivo para la IOI 2013, Etapa 1, Examen 12 **Autor: **Alain Acevedo Mejía
+En pocas palabras el problema es, dado un árbol que se puede colorear, encuentra la menor solución satisfaciendo las restricciones dadas sobre los colores. Este problema es un caso particular de Graph Coloring(en español coloración de grafos), en donde el grafo es un árbol.</p><p class="hx-opacity-80 hx-mt-1 hx-leading-7"><a class="hx-text-[color:hsl(var(--primary-hue),100%,50%)] hx-underline hx-underline-offset-2 hx-decoration-from-font" href=/posts/solucion-a-k-arbol/>Leer más →</a></p><p class="hx-opacity-50 hx-text-sm hx-mt-4 hx-leading-7">7 de enero de 2013</p></div><div class=hx-mb-10><h3><a style=color:inherit;text-decoration:none class="hx-block hx-font-semibold hx-mt-8 hx-text-2xl" href=/posts/solucion-a-metro/>Solución a "Metro"</a></h3><p class="hx-opacity-80 hx-mt-4 hx-leading-7">Concurso: Preselectivo para la IOI 2013, Etapa 1, Examen 12 **Autor: **Alain Acevedo Mejía
 El problema en cuestión se reduce a encontrar un árbol de expansión mínima. La solución es una aplicación directa de alguno de los algoritmos existentes para ello (bien implementada), por lo que hablaré brevemente sobre una de las posibilidades y daré referencias donde puedan encontrar información más detallada.
 Para encontrar el costo mínimo de unir todas las estaciones debemos encontrar el árbol de expansión mínima de la gráfica en cuestión (es decir, una subgráfica conexa que una todos los vértices de la gráfica original y cuyo peso (la suma de los costos de todas sus aristas) sea el mínimo posible (siempre es un árbol)). Para ello una opción es usar el algoritmo de Kruskal: Ordenamos las aristas por su peso y vamos agregando cada arista de peso mínimo que no cree un ciclo en la gráfica. Hacemos esto hasta haber conectado todos los vértices de nuestra gráfica. Por la cantidad de aristas que tenemos requerimos ordenar eficientemente y verificar si las aristas forman un ciclo o no eficientemente en cada paso, de lo contrario el programa no correrá en tiempo.</p><p class="hx-opacity-80 hx-mt-1 hx-leading-7"><a class="hx-text-[color:hsl(var(--primary-hue),100%,50%)] hx-underline hx-underline-offset-2 hx-decoration-from-font" href=/posts/solucion-a-metro/>Leer más →</a></p><p class="hx-opacity-50 hx-text-sm hx-mt-4 hx-leading-7">7 de enero de 2013</p></div><div class=hx-mb-10><h3><a style=color:inherit;text-decoration:none class="hx-block hx-font-semibold hx-mt-8 hx-text-2xl" href=/posts/162/>Solución a "Pulseras"</a></h3><p class="hx-opacity-80 hx-mt-4 hx-leading-7">Concurso: Preselectivo para la IOI 2013, Etapa 1, Examen 10 **Autor: **Alain Acevedo Mejía
 Considero este problema como un buen ejemplo para quienes desean comenzar a trabajar con problemas de programación dinámica. Se nos pide calcular la cantidad de pulseras diferentes que se pueden construir bajo ciertas condiciones. Podemos comenzar preguntándonos, ¿qué sucede si la primera cuenta es negra? La siguiente podrá ser sólo blanca. Y si comenzamos con una blanca, la siguiente puede ser negra o blanca. Podemos entonces en una matriz de 2xn colocar en cada columna cuántas secuencias distintas hay que en la posición i-ésima terminen en negro y cuántas en blanco de tal modo que no haya dos cuentas negras consecutivas. Simplemente, para obtener los números de la siguiente posición, observamos que el número de las que terminan en blanco es la suma de ambos números de la posición anterior y de las que terminan en negro es el número de secuencias que terminan en blanco de la posición anterior.</p><p class="hx-opacity-80 hx-mt-1 hx-leading-7"><a class="hx-text-[color:hsl(var(--primary-hue),100%,50%)] hx-underline hx-underline-offset-2 hx-decoration-from-font" href=/posts/162/>Leer más →</a></p><p class="hx-opacity-50 hx-text-sm hx-mt-4 hx-leading-7">7 de enero de 2013</p></div><div class=hx-mb-10><h3><a style=color:inherit;text-decoration:none class="hx-block hx-font-semibold hx-mt-8 hx-text-2xl" href=/posts/solucion-a-los-bloques-de-link/>Solución a "Los Bloques de Link"</a></h3><p class="hx-opacity-80 hx-mt-4 hx-leading-7">Concurso: Preselectivo para la IOI 2013, Etapa 1, Examen 8 **Autor: **Alain Acevedo Mejía
diff --git a/posts/index.xml b/posts/index.xml
index fefc9a5..c0bb707 100644
--- a/posts/index.xml
+++ b/posts/index.xml
@@ -218,7 +218,7 @@ La métrica para cada usuario, llamada &lt;code>author_score&lt;/code>, es calcu
 &lt;li>Manda tu aplicación antes del &lt;em>18 de abril&lt;/em>.&lt;/li>
 &lt;/ol>
 &lt;p>Más detalles sobre el proceso de aplicación en &lt;a href="https://github.com/omegaup/omegaup/wiki/Google-Summer-of-Code-2022/#application-process" target="_blank" rel="noopener">nuestro wiki&lt;/a>.&lt;/p>
-&lt;!-- raw HTML omitted -->
+&lt;img align="right" src="https://user-images.githubusercontent.com/13296248/159149881-43c0a42b-236b-49b6-a02f-a760647df1a5.png">
 &lt;p>&lt;img src="https://user-images.githubusercontent.com/13296248/159149882-63dd12ef-4e45-45ea-bdbf-72d40d704481.png" alt="gsoc" loading="lazy" />&lt;/p></description></item><item><title>Bases de Liga de Programación de omegaUp</title><link>https://blog.omegaup.com/posts/bases-de-liga-de-programacion-de-omegaup/</link><pubDate>Fri, 10 Dec 2021 00:22:57 +0000</pubDate><guid>https://blog.omegaup.com/posts/bases-de-liga-de-programacion-de-omegaup/</guid><description>
 &lt;p>omegaUp Invita a todos los estudiantes de nivel media superior y superior a participar a la 2° edición de la Liga de programación omegaUp.&lt;/p>
 &lt;p>&lt;strong>Reglas&lt;/strong>:&lt;/p>
@@ -256,48 +256,48 @@ La métrica para cada usuario, llamada &lt;code>author_score&lt;/code>, es calcu
 &lt;p>Gracias @Rodrigo-RCC por este aporte!&lt;/p>
 &lt;p>El límite de memoria de un problema puede cambiar drásticamente la forma en la que podemos resolverlo. Por ejemplo, el problema &lt;a href="https://omegaup.com/arena/problem/La-especie-dominante-en-marte" target="_blank" rel="noopener">https://omegaup.com/arena/problem/La-especie-dominante-en-marte&lt;/a> nos pide encontrar el número que más se repite en una secuencia, si además sabemos que ese número aparece al menos más de la mitad de las veces. Si estamos usando C++ y conocemos relativamente bien la biblioteca estándar del lenguaje, nuestro primer intento sería algo así:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#include&lt;/span> &lt;span style="color:#75715e">&amp;lt;iostream&amp;gt;&lt;/span>&lt;span style="color:#75715e">
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#include&lt;/span> &lt;span style="color:#75715e">&amp;lt;map&amp;gt;&lt;/span>&lt;span style="color:#75715e">
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">int&lt;/span> &lt;span style="color:#a6e22e">main&lt;/span>( ) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> std&lt;span style="color:#f92672">::&lt;/span>map&lt;span style="color:#f92672">&amp;lt;&lt;/span>&lt;span style="color:#66d9ef">int&lt;/span>, &lt;span style="color:#66d9ef">int&lt;/span>&lt;span style="color:#f92672">&amp;gt;&lt;/span> frecuencias;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">for&lt;/span> (&lt;span style="color:#66d9ef">int&lt;/span> n; std&lt;span style="color:#f92672">::&lt;/span>cin &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> n;) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> frecuencias&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[n&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">+=&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e">// revisar qué valor apareció más e imprimirlo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>}
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si enviamos el código anterior, nos llevaremos la desagradable sorpresa de obtener &lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span>MLE&lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span> (memoria límite excedida). Aunque esta publicación no tiene por objetivo explicar cómo se resuelve el problema, sí podemos mencionar que lo adecuado es un &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>algoritmo de streaming&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> que surgió en el &lt;span style="color:#960050;background-color:#1e0010">á&lt;/span>rea de lo que ahora se conoce como &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>Big Data&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>. Entonces, el límite bajo de memoria es un intento de obligar al usuario a deducir dicho algoritmo, el cual usa &lt;span style="color:#960050;background-color:#1e0010">ú&lt;/span>nicamente tres variables enteras. Desafortunadamente, incluso el siguiente código...
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#960050;background-color:#1e0010">```&lt;/span>cpp
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#include&lt;/span> &lt;span style="color:#75715e">&amp;lt;iostream&amp;gt;&lt;/span>&lt;span style="color:#75715e">
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">int&lt;/span> main( ) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e">// leer la entrada y no hacer nada con ella
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e">// no nos sabemos el algoritmo y tenemos poca memoria :(
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span> (&lt;span style="color:#66d9ef">int&lt;/span> n; std&lt;span style="color:#f92672">::&lt;/span>cin &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> n;) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">continue&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>}
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#960050;background-color:#1e0010">¡&lt;/span>También supera la memoria límite del problema&lt;span style="color:#f92672">!&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Un usuario podría pensar (equivocadamente) que entonces el problema es imposible de resolver. Para evitar esta confusión, los usuarios de la plataforma deben tomar en cuenta lo siguiente:
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">-&lt;/span> Existe un &lt;span style="color:#960050;background-color:#1e0010">ú&lt;/span>nico límite de memoria por problema, el cual es independiente del lenguaje de programación usado. En el problema descrito previamente, el autor no quiso aumentar artificialmente el límite de memoria sólo para aceptar envíos en todos los lenguajes, porque eso implicaría que alguien que use un lenguaje eficiente podría idear un algoritmo que no era el que el autor quería permitir. Entonces, es verdad que algunos problemas no se pueden resolver en ciertos lenguajes de programación, pero el autor debería garantizar que el problema se puede resolver de forma razonable en por lo menos un lenguaje de programación (de preferencia C y C&lt;span style="color:#f92672">++&lt;/span>).
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#f92672">-&lt;/span> La biblioteca &lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span>&lt;span style="color:#f92672">&amp;lt;&lt;/span>iostream&lt;span style="color:#f92672">&amp;gt;&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span> de C&lt;span style="color:#f92672">++&lt;/span> consume mucha más memoria de la que uno podría imaginar inicialmente. Esto se puede verificar resolviendo un problema de &lt;span style="color:#e6db74">&amp;#34;Hola Mundo&amp;#34;&lt;/span> usando &lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span>&lt;span style="color:#f92672">&amp;lt;&lt;/span>iostream&lt;span style="color:#f92672">&amp;gt;&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span> y luego comparándolo con uno que sólo usa &lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span>&lt;span style="color:#f92672">&amp;lt;&lt;/span>stdio.h&lt;span style="color:#f92672">&amp;gt;&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span>. Peor aún, basta incluir &lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span>&lt;span style="color:#f92672">&amp;lt;&lt;/span>iostream&lt;span style="color:#f92672">&amp;gt;&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span> para que el consumo de memoria del programa aumente, ya que la inclusión de ese archivo al menos provoca que los objetos globales &lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span>std&lt;span style="color:#f92672">::&lt;/span>cin&lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span> y &lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span>std&lt;span style="color:#f92672">::&lt;/span>cout&lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span> se inicialicen.
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>El siguiente código no calcula la respuesta correcta, pero al menos al menos no superará el límite de memoria :)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#960050;background-color:#1e0010">```&lt;/span>cpp
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#include&lt;/span> &lt;span style="color:#75715e">&amp;lt;stdio.h&amp;gt;&lt;/span>&lt;span style="color:#75715e">
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">int&lt;/span> main( ) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e">// leer la entrada y no hacer nada con ella
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e">// no nos sabemos el algoritmo :(
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span> (&lt;span style="color:#66d9ef">int&lt;/span> n; scanf(&lt;span style="color:#e6db74">&amp;#34;%d&amp;#34;&lt;/span>, &lt;span style="color:#f92672">&amp;amp;&lt;/span>n) &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>;) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">continue&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>}
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Esperamos que esta publicación les haya ayudado a tener una idea más cercana de cómo atacar cierto tipo de problemas inusuales y los invitamos a resolver el problema mencionado en el juez en línea.&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#include&lt;/span> &lt;span class="cpf">&amp;lt;iostream&amp;gt;&lt;/span>&lt;span class="cp">
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#include&lt;/span> &lt;span class="cpf">&amp;lt;map&amp;gt;&lt;/span>&lt;span class="cp">
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="kt">int&lt;/span> &lt;span class="nf">main&lt;/span>&lt;span class="p">(&lt;/span> &lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">map&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="kt">int&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="kt">int&lt;/span>&lt;span class="o">&amp;gt;&lt;/span> &lt;span class="n">frecuencias&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">for&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">n&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cin&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="n">n&lt;/span>&lt;span class="p">;)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">frecuencias&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">n&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">+=&lt;/span> &lt;span class="mi">1&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="c1">// revisar qué valor apareció más e imprimirlo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span>&lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">enviamos&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">código&lt;/span> &lt;span class="n">anterior&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">nos&lt;/span> &lt;span class="n">llevaremos&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">desagradable&lt;/span> &lt;span class="n">sorpresa&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">obtener&lt;/span> &lt;span class="err">\`&lt;/span>&lt;span class="n">MLE&lt;/span>&lt;span class="err">\`&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">memoria&lt;/span> &lt;span class="n">límite&lt;/span> &lt;span class="n">excedida&lt;/span>&lt;span class="p">).&lt;/span> &lt;span class="n">Aunque&lt;/span> &lt;span class="n">esta&lt;/span> &lt;span class="n">publicación&lt;/span> &lt;span class="n">no&lt;/span> &lt;span class="n">tiene&lt;/span> &lt;span class="n">por&lt;/span> &lt;span class="n">objetivo&lt;/span> &lt;span class="n">explicar&lt;/span> &lt;span class="n">cómo&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">resuelve&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">problema&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sí&lt;/span> &lt;span class="n">podemos&lt;/span> &lt;span class="n">mencionar&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">lo&lt;/span> &lt;span class="n">adecuado&lt;/span> &lt;span class="n">es&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">algoritmo&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">streaming&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">surgió&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="err">á&lt;/span>&lt;span class="n">rea&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">lo&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">ahora&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">conoce&lt;/span> &lt;span class="n">como&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">Big&lt;/span> &lt;span class="n">Data&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">Entonces&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">límite&lt;/span> &lt;span class="n">bajo&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">memoria&lt;/span> &lt;span class="n">es&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="n">intento&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">obligar&lt;/span> &lt;span class="n">al&lt;/span> &lt;span class="n">usuario&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="n">deducir&lt;/span> &lt;span class="n">dicho&lt;/span> &lt;span class="n">algoritmo&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">cual&lt;/span> &lt;span class="n">usa&lt;/span> &lt;span class="err">ú&lt;/span>&lt;span class="n">nicamente&lt;/span> &lt;span class="n">tres&lt;/span> &lt;span class="n">variables&lt;/span> &lt;span class="n">enteras&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">Desafortunadamente&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">incluso&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">siguiente&lt;/span> &lt;span class="n">código&lt;/span>&lt;span class="p">...&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="err">```&lt;/span>&lt;span class="n">cpp&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#include&lt;/span> &lt;span class="cpf">&amp;lt;iostream&amp;gt;&lt;/span>&lt;span class="cp">
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="kt">int&lt;/span> &lt;span class="n">main&lt;/span>&lt;span class="p">(&lt;/span> &lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="c1">// leer la entrada y no hacer nada con ella
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="c1">// no nos sabemos el algoritmo y tenemos poca memoria :(
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="k">for&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">n&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cin&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="n">n&lt;/span>&lt;span class="p">;)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">continue&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="err">¡&lt;/span>&lt;span class="n">También&lt;/span> &lt;span class="n">supera&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">memoria&lt;/span> &lt;span class="n">límite&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">problema&lt;/span>&lt;span class="o">!&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Un&lt;/span> &lt;span class="n">usuario&lt;/span> &lt;span class="n">podría&lt;/span> &lt;span class="n">pensar&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">equivocadamente&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">entonces&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">problema&lt;/span> &lt;span class="n">es&lt;/span> &lt;span class="n">imposible&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">resolver&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">Para&lt;/span> &lt;span class="n">evitar&lt;/span> &lt;span class="n">esta&lt;/span> &lt;span class="n">confusión&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">usuarios&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">plataforma&lt;/span> &lt;span class="n">deben&lt;/span> &lt;span class="n">tomar&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">cuenta&lt;/span> &lt;span class="n">lo&lt;/span> &lt;span class="nl">siguiente&lt;/span>&lt;span class="p">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="err">\&lt;/span>&lt;span class="o">-&lt;/span> &lt;span class="n">Existe&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="err">ú&lt;/span>&lt;span class="n">nico&lt;/span> &lt;span class="n">límite&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">memoria&lt;/span> &lt;span class="n">por&lt;/span> &lt;span class="n">problema&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">cual&lt;/span> &lt;span class="n">es&lt;/span> &lt;span class="n">independiente&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">lenguaje&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">programación&lt;/span> &lt;span class="n">usado&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">En&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">problema&lt;/span> &lt;span class="n">descrito&lt;/span> &lt;span class="n">previamente&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">autor&lt;/span> &lt;span class="n">no&lt;/span> &lt;span class="n">quiso&lt;/span> &lt;span class="n">aumentar&lt;/span> &lt;span class="n">artificialmente&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">límite&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">memoria&lt;/span> &lt;span class="n">sólo&lt;/span> &lt;span class="n">para&lt;/span> &lt;span class="n">aceptar&lt;/span> &lt;span class="n">envíos&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">todos&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">lenguajes&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">porque&lt;/span> &lt;span class="n">eso&lt;/span> &lt;span class="n">implicaría&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">alguien&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">use&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="n">lenguaje&lt;/span> &lt;span class="n">eficiente&lt;/span> &lt;span class="n">podría&lt;/span> &lt;span class="n">idear&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="n">algoritmo&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">no&lt;/span> &lt;span class="n">era&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">autor&lt;/span> &lt;span class="n">quería&lt;/span> &lt;span class="n">permitir&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">Entonces&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">es&lt;/span> &lt;span class="n">verdad&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">algunos&lt;/span> &lt;span class="n">problemas&lt;/span> &lt;span class="n">no&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">pueden&lt;/span> &lt;span class="n">resolver&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">ciertos&lt;/span> &lt;span class="n">lenguajes&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">programación&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">pero&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">autor&lt;/span> &lt;span class="n">debería&lt;/span> &lt;span class="n">garantizar&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">problema&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">puede&lt;/span> &lt;span class="n">resolver&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">forma&lt;/span> &lt;span class="n">razonable&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">por&lt;/span> &lt;span class="n">lo&lt;/span> &lt;span class="n">menos&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="n">lenguaje&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">programación&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">de&lt;/span> &lt;span class="n">preferencia&lt;/span> &lt;span class="n">C&lt;/span> &lt;span class="n">y&lt;/span> &lt;span class="n">C&lt;/span>&lt;span class="o">++&lt;/span>&lt;span class="p">).&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="o">-&lt;/span> &lt;span class="n">La&lt;/span> &lt;span class="n">biblioteca&lt;/span> &lt;span class="err">\`&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">iostream&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>&lt;span class="err">\`&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">C&lt;/span>&lt;span class="o">++&lt;/span> &lt;span class="n">consume&lt;/span> &lt;span class="n">mucha&lt;/span> &lt;span class="n">más&lt;/span> &lt;span class="n">memoria&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">uno&lt;/span> &lt;span class="n">podría&lt;/span> &lt;span class="n">imaginar&lt;/span> &lt;span class="n">inicialmente&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">Esto&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">puede&lt;/span> &lt;span class="n">verificar&lt;/span> &lt;span class="n">resolviendo&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="n">problema&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="s">&amp;#34;Hola Mundo&amp;#34;&lt;/span> &lt;span class="n">usando&lt;/span> &lt;span class="err">\`&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">iostream&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>&lt;span class="err">\`&lt;/span> &lt;span class="n">y&lt;/span> &lt;span class="n">luego&lt;/span> &lt;span class="n">comparándolo&lt;/span> &lt;span class="n">con&lt;/span> &lt;span class="n">uno&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">sólo&lt;/span> &lt;span class="n">usa&lt;/span> &lt;span class="err">\`&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">stdio&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">h&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>&lt;span class="err">\`&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">Peor&lt;/span> &lt;span class="n">aún&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">basta&lt;/span> &lt;span class="n">incluir&lt;/span> &lt;span class="err">\`&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">iostream&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>&lt;span class="err">\`&lt;/span> &lt;span class="n">para&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">consumo&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">memoria&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">programa&lt;/span> &lt;span class="n">aumente&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">ya&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">inclusión&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">ese&lt;/span> &lt;span class="n">archivo&lt;/span> &lt;span class="n">al&lt;/span> &lt;span class="n">menos&lt;/span> &lt;span class="n">provoca&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">objetos&lt;/span> &lt;span class="n">globales&lt;/span> &lt;span class="err">\`&lt;/span>&lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cin&lt;/span>&lt;span class="err">\`&lt;/span> &lt;span class="n">y&lt;/span> &lt;span class="err">\`&lt;/span>&lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cout&lt;/span>&lt;span class="err">\`&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">inicialicen&lt;/span>&lt;span class="p">.&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">El&lt;/span> &lt;span class="n">siguiente&lt;/span> &lt;span class="n">código&lt;/span> &lt;span class="n">no&lt;/span> &lt;span class="n">calcula&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">respuesta&lt;/span> &lt;span class="n">correcta&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">pero&lt;/span> &lt;span class="n">al&lt;/span> &lt;span class="n">menos&lt;/span> &lt;span class="n">al&lt;/span> &lt;span class="n">menos&lt;/span> &lt;span class="n">no&lt;/span> &lt;span class="n">superará&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">límite&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="nl">memoria&lt;/span> &lt;span class="p">:)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="err">```&lt;/span>&lt;span class="n">cpp&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#include&lt;/span> &lt;span class="cpf">&amp;lt;stdio.h&amp;gt;&lt;/span>&lt;span class="cp">
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="kt">int&lt;/span> &lt;span class="n">main&lt;/span>&lt;span class="p">(&lt;/span> &lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="c1">// leer la entrada y no hacer nada con ella
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="c1">// no nos sabemos el algoritmo :(
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="k">for&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">n&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">scanf&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="s">&amp;#34;%d&amp;#34;&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">&amp;amp;&lt;/span>&lt;span class="n">n&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">1&lt;/span>&lt;span class="p">;)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">continue&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Esperamos&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">esta&lt;/span> &lt;span class="n">publicación&lt;/span> &lt;span class="n">les&lt;/span> &lt;span class="n">haya&lt;/span> &lt;span class="n">ayudado&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="n">tener&lt;/span> &lt;span class="n">una&lt;/span> &lt;span class="n">idea&lt;/span> &lt;span class="n">más&lt;/span> &lt;span class="n">cercana&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">cómo&lt;/span> &lt;span class="n">atacar&lt;/span> &lt;span class="n">cierto&lt;/span> &lt;span class="n">tipo&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">problemas&lt;/span> &lt;span class="n">inusuales&lt;/span> &lt;span class="n">y&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">invitamos&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="n">resolver&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">problema&lt;/span> &lt;span class="n">mencionado&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">juez&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">línea&lt;/span>&lt;span class="p">.&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
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 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
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@@ -1,6 +1,10 @@
 <!doctype html><html lang=es><head><meta charset=utf-8><meta name=viewport content="width=device-width,initial-scale=1"><meta name=robots content="index, follow"><link rel="icon shortcut" href=/favicon.ico sizes=32x32><link rel=icon href=/favicon.svg type=image/svg+xml><link rel=icon href=/favicon-dark.svg type=image/svg+xml media="(prefers-color-scheme: dark)"><link rel=icon href=/favicon-16x16.png type=image/png sizes=16x16><link rel=icon href=/favicon-32x32.png type=image/png sizes=32x32><link rel=apple-touch-icon href=/apple-touch-icon.png sizes=180x180><link fetchpriority=low href=/site.webmanifest rel=manifest><title>Iniciando milestone en OmegaUp: Karate Kid – omegaUp blog</title>
 <meta name=description content="Después de año y medio de desarrollo (en nuestros tiempos libres) y de finalmente ser la plataforma de concurso en 3 de los eventos de programación más importantes de México ( Olimpiada Mexicana de Informática OMI, Concurso Nacional de Programación CONACUP y el Concurso Universitario de Programación de Aguascalientes CUPA) hemos decidido graduar nuestro motor de evaluación y concursos para invertir más tiempo en la usabilidad del sitio como plataforma de aprendizaje en un nuevo milestone: Karate Kid."><link rel=canonical href=https://blog.omegaup.com/posts/iniciando-milestone-en-omegaup-karate-kid/ itemprop=url><meta property="og:title" content="Iniciando milestone en OmegaUp: Karate Kid"><meta property="og:description" content="Después de año y medio de desarrollo (en nuestros tiempos libres) y de finalmente ser la plataforma de concurso en 3 de los eventos de programación más importantes de México ( Olimpiada Mexicana de Informática OMI, Concurso Nacional de Programación CONACUP y el Concurso Universitario de Programación de Aguascalientes CUPA)  hemos decidido graduar nuestro motor de evaluación y concursos para invertir más tiempo en la usabilidad del sitio como plataforma de aprendizaje en un nuevo milestone: Karate Kid."><meta property="og:type" content="article"><meta property="og:url" content="https://blog.omegaup.com/posts/iniciando-milestone-en-omegaup-karate-kid/"><meta property="article:section" content="posts"><meta property="article:published_time" content="2012-11-14T02:57:57+00:00"><meta property="article:modified_time" content="2012-11-14T02:57:57+00:00"><meta itemprop=name content="Iniciando milestone en OmegaUp: Karate Kid"><meta itemprop=description content="Después de año y medio de desarrollo (en nuestros tiempos libres) y de finalmente ser la plataforma de concurso en 3 de los eventos de programación más importantes de México ( Olimpiada Mexicana de Informática OMI, Concurso Nacional de Programación CONACUP y el Concurso Universitario de Programación de Aguascalientes CUPA) hemos decidido graduar nuestro motor de evaluación y concursos para invertir más tiempo en la usabilidad del sitio como plataforma de aprendizaje en un nuevo milestone: Karate Kid."><meta itemprop=datePublished content="2012-11-14T02:57:57+00:00"><meta itemprop=dateModified content="2012-11-14T02:57:57+00:00"><meta itemprop=wordCount content="373"><meta itemprop=keywords content="News,OmegaUp"><meta name=twitter:card content="summary"><meta name=twitter:title content="Iniciando milestone en OmegaUp: Karate Kid"><meta name=twitter:description content="Después de año y medio de desarrollo (en nuestros tiempos libres) y de finalmente ser la plataforma de concurso en 3 de los eventos de programación más importantes de México ( Olimpiada Mexicana de Informática OMI, Concurso Nacional de Programación CONACUP y el Concurso Universitario de Programación de Aguascalientes CUPA) hemos decidido graduar nuestro motor de evaluación y concursos para invertir más tiempo en la usabilidad del sitio como plataforma de aprendizaje en un nuevo milestone: Karate Kid."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/insignias-de-usuario-en-omegaup/index.html b/posts/insignias-de-usuario-en-omegaup/index.html
index 05d9c6c..e0f869e 100644
--- a/posts/insignias-de-usuario-en-omegaup/index.html
+++ b/posts/insignias-de-usuario-en-omegaup/index.html
@@ -17,6 +17,10 @@
 Para ver las insignias que has obtenido, simplemente debes acceder a tu perfil en omegaUp, ahora existe una nueva sección donde se listarán todas tus insignias conseguidas:
 Además, si quieres ver todas las insignias existentes, solo debes hacer click en el enlace Ver todas, que se encuentra al costado del número de insignias obtenidas. Recuerda que al poner el mouse sobre el ícono de la insignia, podrás ver la descripción de lo que tienes que hacer para poder obtener dicha insignia. Hay insignias que tienen un ícono sombreado por completo de negro, eso significa que aún no la has obtenido, ¡podrás ver el ícono de la insignia una vez la obtengas!"><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/introduccion-a-omegaup-parte-0/index.html b/posts/introduccion-a-omegaup-parte-0/index.html
index 5392b64..424fef0 100644
--- a/posts/introduccion-a-omegaup-parte-0/index.html
+++ b/posts/introduccion-a-omegaup-parte-0/index.html
@@ -21,6 +21,10 @@
 Hemos recibido varias preguntas sobre cómo se envían soluciones a omegaUp. Decidí escribir una introducción a omegaUp, antes de empezar a aprender a resolver problemas. En resumen:
 El objetivo de los concursos es acumular más puntos que todos los demás participantes. En caso de empate, se toma en cuenta la suma de los penalties (dependiendo del concurso puede no haber penalties, ser el tiempo desde que inició el concurso hasta que enviaste la solución o el tiempo desde que abriste el problema por primera vez hasta que lo resolviste). Jamás se te quitarán puntos por intentar resolver un problema: si ya habías enviado una solución con x puntos, únicamente se cambiará tu puntuación y penalty si obtienes más de x puntos. Toda la entrada y salida se hace mediante entrada estándar (“teclado” y “consola”), y no debes imprimir nada que no indique el problema: no debes poner cosas como “Dame un número”. omegaUp te proporcionará la entrada tal y como viene descrita en el problema. Todos los problemas de Java deben tener Main como nombre de clase. Si usas cualquier otro nombre, te regresará un Runtime error. cin (en C++) y Scanner (en Java) son relativamente lentos. En problemas donde haya mucha entrada, se recomienda usar scanf (en C/C++) y BufferedReader (en Java). Toda la entrada y salida está en formato Unix: las líneas terminan con “\n”, no con “\r\n”. Primero veamos cómo luce la arena durante un concurso:"><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/introduccion-a-omegaup-parte-2-problemas-basicos/index.html b/posts/introduccion-a-omegaup-parte-2-problemas-basicos/index.html
index faa1337..ce4a431 100644
--- a/posts/introduccion-a-omegaup-parte-2-problemas-basicos/index.html
+++ b/posts/introduccion-a-omegaup-parte-2-problemas-basicos/index.html
@@ -5,6 +5,10 @@
 Para estos problemas, no se requiere conocer una técnica o un algoritmo en específico: simplemente requieren implementar (o simular) lo que se describe en el problema o hacer una o dos observaciones relativamente sencillas que permiten simplificar la implementación o acortar el número de operaciones que tu programa tendría que hacer y con ello poder resolver el problema dentro de los límites."><meta itemprop=datePublished content="2013-10-08T14:48:09+00:00"><meta itemprop=dateModified content="2013-10-08T14:48:09+00:00"><meta itemprop=wordCount content="289"><meta itemprop=keywords content="Study Material,Introducción a OmegaUp"><meta name=twitter:card content="summary"><meta name=twitter:title content="Introducción a Omegaup, parte 2 - Problemas básicos"><meta name=twitter:description content="Hola de nuevo. Continuando con la serie Introducción a Omegaup, esta vez vamos a hacer referencia a los problemas más sencillos de la plataforma a la fecha. Aquí se encuentra la parte 1 de esta serie.
 Para estos problemas, no se requiere conocer una técnica o un algoritmo en específico: simplemente requieren implementar (o simular) lo que se describe en el problema o hacer una o dos observaciones relativamente sencillas que permiten simplificar la implementación o acortar el número de operaciones que tu programa tendría que hacer y con ello poder resolver el problema dentro de los límites."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/introduccion-a-omegaup/index.html b/posts/introduccion-a-omegaup/index.html
index efb9058..eac5519 100644
--- a/posts/introduccion-a-omegaup/index.html
+++ b/posts/introduccion-a-omegaup/index.html
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 <!doctype html><html lang=es><head><meta charset=utf-8><meta name=viewport content="width=device-width,initial-scale=1"><meta name=robots content="index, follow"><link rel="icon shortcut" href=/favicon.ico sizes=32x32><link rel=icon href=/favicon.svg type=image/svg+xml><link rel=icon href=/favicon-dark.svg type=image/svg+xml media="(prefers-color-scheme: dark)"><link rel=icon href=/favicon-16x16.png type=image/png sizes=16x16><link rel=icon href=/favicon-32x32.png type=image/png sizes=32x32><link rel=apple-touch-icon href=/apple-touch-icon.png sizes=180x180><link fetchpriority=low href=/site.webmanifest rel=manifest><title>Introducción a omegaUp, parte 1 – omegaUp blog</title>
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diff --git a/posts/invasion-zombie/index.html b/posts/invasion-zombie/index.html
index 4521e35..533eb25 100644
--- a/posts/invasion-zombie/index.html
+++ b/posts/invasion-zombie/index.html
@@ -6,6 +6,10 @@
 Primer solución La idea principal tanto en la primera como en la segunda solución es diseñar una función $latex f(d)$ que nos retorne el número de colonias infectadas después de $latex d$ días, nos interesa el mínimo valor de $latex d$ tal que el número de colonias infectadas sea mayor o igual a $latex C$. Una propiedad importante es la siguiente, $latex f(d)$ nunca decrece, es decir $latex f(d) <= f(d+1)$. Esta propiedad nos permite utilizar búsqueda binaria para encontrar las respuesta en $latex O(\lg_{2}(n))$. Diseñar una función que determine el número de colonias infectadas, dependiendo del background de cada uno, es la parte interesante, y es donde difieren las dos versiones, bueno, un poco. Este es el código de la primer versión, no voy a entrar en detalles porque ni yo me acuerdo bien que trucos aplique, pero la idea es parecida a la de la de la segunda versión, lo que cambia es la estrategia."><meta itemprop=datePublished content="2015-11-12T17:06:59+00:00"><meta itemprop=dateModified content="2015-11-12T17:06:59+00:00"><meta itemprop=wordCount content="399"><meta itemprop=keywords content="Solution,Búsqueda Binaria,Geometría,Material De Estudio"><meta name=twitter:card content="summary"><meta name=twitter:title content="Invasion Zombie"><meta name=twitter:description content="Hola!, este es mi primer post en Omegaup y voy a describir mi solución para el problema Invasion zombie. Hace un año encontré este problema, me pareció interesante y logre resolverlo, aunque algo tricky. Hace unos días me tope con este problema nuevamente y lo resolví por segunda ocasión, pero con una solución más simple, al menos eso creo.
 Primer solución La idea principal tanto en la primera como en la segunda solución es diseñar una función $latex f(d)$ que nos retorne el número de colonias infectadas después de $latex d$ días, nos interesa el mínimo valor de $latex d$ tal que el número de colonias infectadas sea mayor o igual a $latex C$. Una propiedad importante es la siguiente, $latex f(d)$ nunca decrece, es decir $latex f(d) <= f(d+1)$. Esta propiedad nos permite utilizar búsqueda binaria para encontrar las respuesta en $latex O(\lg_{2}(n))$. Diseñar una función que determine el número de colonias infectadas, dependiendo del background de cada uno, es la parte interesante, y es donde difieren las dos versiones, bueno, un poco. Este es el código de la primer versión, no voy a entrar en detalles porque ni yo me acuerdo bien que trucos aplique, pero la idea es parecida a la de la de la segunda versión, lo que cambia es la estrategia."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/ioi-2015-entrevista-con-blak_dragon1/index.html b/posts/ioi-2015-entrevista-con-blak_dragon1/index.html
index 414627c..9e47789 100644
--- a/posts/ioi-2015-entrevista-con-blak_dragon1/index.html
+++ b/posts/ioi-2015-entrevista-con-blak_dragon1/index.html
@@ -11,6 +11,10 @@
 Cuéntanos cómo empezaste a programar y qué te motiva a resolver problemas:
 Todo empezó en un curso llamado “Aprende a Programar” para las Escuelas Secundarias Técnicas. Yo estudiaba en la Escuela Secundaria Técnica No. 37 el 1er grado, ahí fue donde me invitaron a hacer un examen para lograr un lugar en el curso, y me agradó la idea porque algo que ya me llamaba atención en esos días era el uso de la computadora. Conseguí quedarme y aquí vi un poco de lógica matemática y Karel. Esto fue el inicio de todo, nos platicaron de la Olimpiada Mexicana de Informática y que esta da pie para la International Olympiad in Informatics. Eso me emocionó bastante para seguir adelante dentro de la olimpiada estatal del Distrito Federal."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/ioi-2015-entrevista-con-charlyhlms/index.html b/posts/ioi-2015-entrevista-con-charlyhlms/index.html
index b6d36a1..a660279 100644
--- a/posts/ioi-2015-entrevista-con-charlyhlms/index.html
+++ b/posts/ioi-2015-entrevista-con-charlyhlms/index.html
@@ -11,6 +11,10 @@
 Cuéntanos cómo empezaste a programar y qué te motiva a resolver problemas:
 Empecé a programar cuando tenía 13 años, durante mi segundo año de secundaria. Estaba en el taller de Computación y a principios de ese año nos enseñaron a programar en Pascal y Karel, en ese entonces me parecía algo divertido y diferente, fue por eso que cuando me comentaron sobre la Olimpiada decidí inscribirme."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/ioi-2015-entrevista-con-emmanuel_antonio/index.html b/posts/ioi-2015-entrevista-con-emmanuel_antonio/index.html
index 4bbcc80..0f2829f 100644
--- a/posts/ioi-2015-entrevista-con-emmanuel_antonio/index.html
+++ b/posts/ioi-2015-entrevista-con-emmanuel_antonio/index.html
@@ -11,6 +11,10 @@
 Cuéntanos cómo empezaste a programar y qué te motiva a resolver problemas:
 Empecé a programar cuando el maestro Luis Citalán me invitó a entrar al taller de la Olimpiada en la escuela. Me motiva ver a esas personas que han logrado cosas muy importantes."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/ioi-2015-entrevista-con-juan_carlos_sigler_priego-mex/index.html b/posts/ioi-2015-entrevista-con-juan_carlos_sigler_priego-mex/index.html
index 8fd9c89..2d69efc 100644
--- a/posts/ioi-2015-entrevista-con-juan_carlos_sigler_priego-mex/index.html
+++ b/posts/ioi-2015-entrevista-con-juan_carlos_sigler_priego-mex/index.html
@@ -10,6 +10,10 @@
 Cuéntanos cómo empezaste a programar y qué te motiva a resolver problemas.
 Empecé a programar cuando me metí al Curso de la OMI en mi Estado (Distrito Federal), más que nada me motiva el ver como todo esto le ha ayudado a ex-concursantes, gente que la contrata empresas muy importantes, como MIcrosoft y Google, aunque a mi en lo personal me gustaría formar mi propia empresa."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/juego-lento-ethan-jimenez/index.html b/posts/juego-lento-ethan-jimenez/index.html
index 68fda92..903ae69 100644
--- a/posts/juego-lento-ethan-jimenez/index.html
+++ b/posts/juego-lento-ethan-jimenez/index.html
@@ -9,6 +9,10 @@
 Autor: Ethan Jimenez
 Empecemos analizando el caso en que solo jugamos con un montón de fichas, dada la restricción de tomar únicamente una sola ficha el juego se vuelve predecible ya que no hay más opción que tomar una ficha de ese montón. Si el montón tiene una sola ficha el jugador con el primer turno pierde, si hay dos fichas el jugador con el primer turno gana, si hay tres fichas el jugador con el primer turno pierde, y así alternadamente, podemos entonces deducir que si hay un número impar de fichas en el montón, el jugador con el primer turno perderá, por el otro lado, si el montón tiene un número par de fichas ganará la partida."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/muchas-gracias-2da-gala-anual-de-omegaup/index.html b/posts/muchas-gracias-2da-gala-anual-de-omegaup/index.html
index a8cebef..c324aeb 100644
--- a/posts/muchas-gracias-2da-gala-anual-de-omegaup/index.html
+++ b/posts/muchas-gracias-2da-gala-anual-de-omegaup/index.html
@@ -10,6 +10,10 @@
 Queridos amigos, Gracias a la increíble generosidad de todos los participantes, nuestra 2ª Gala Anual celebrada el 19 de Octubre trajo casi $ 40,000 en fondos que serán utilizados para ayudarnos a mejorar omegaUp.com como una plataforma de aprendizaje gratuita para llegar a más estudiantes, y continuar nuestros programas sociales."><meta itemprop=datePublished content="2019-10-26T21:23:21+00:00"><meta itemprop=dateModified content="2019-10-26T21:23:21+00:00"><meta itemprop=wordCount content="412"><meta itemprop=keywords content="News,OmegaUp"><meta name=twitter:card content="summary"><meta name=twitter:title content="¡Muchas gracias! - 2da Gala Anual de omegaUp"><meta name=twitter:description content="Prof. Pedro Fuentes dando un gran discurso en la 2da Gala de omegaUp.
 Queridos amigos, Gracias a la increíble generosidad de todos los participantes, nuestra 2ª Gala Anual celebrada el 19 de Octubre trajo casi $ 40,000 en fondos que serán utilizados para ayudarnos a mejorar omegaUp.com como una plataforma de aprendizaje gratuita para llegar a más estudiantes, y continuar nuestros programas sociales."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/omegaup-apoya-al-1er-concurso-de-programacion-uvm/index.html b/posts/omegaup-apoya-al-1er-concurso-de-programacion-uvm/index.html
index beb2c35..ea13649 100644
--- a/posts/omegaup-apoya-al-1er-concurso-de-programacion-uvm/index.html
+++ b/posts/omegaup-apoya-al-1er-concurso-de-programacion-uvm/index.html
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diff --git a/posts/omegaup-presentado-en-la-international-olympiad-in-informatics-2014/index.html b/posts/omegaup-presentado-en-la-international-olympiad-in-informatics-2014/index.html
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@@ -5,6 +5,10 @@
 
 Del 13 al 18 de Julio del 2014 se llevó a cabo la International Olympiad in Informatics (IOI) en Taipei, Taiwán. En paralelo a la IOI, el comité organiza la publicación de la revista IOI Journal donde los países participantes pueden publicar artículos sobre la olimpiada en general, tanto técnicos como reportes y explicaciones de cómo es la olimpiada alrededor del mundo. Dichas publicaciones se presentan durante la IOI, en la IOI Conference."><meta property="og:type" content="article"><meta property="og:url" content="https://blog.omegaup.com/posts/omegaup-presentado-en-la-international-olympiad-in-informatics-2014/"><meta property="article:section" content="posts"><meta property="article:published_time" content="2014-07-24T15:18:10+00:00"><meta property="article:modified_time" content="2014-07-24T15:18:10+00:00"><meta itemprop=name content="omegaUp presentado en la International Olympiad in Informatics 2014"><meta itemprop=description content="Del 13 al 18 de Julio del 2014 se llevó a cabo la International Olympiad in Informatics (IOI) en Taipei, Taiwán. En paralelo a la IOI, el comité organiza la publicación de la revista IOI Journal donde los países participantes pueden publicar artículos sobre la olimpiada en general, tanto técnicos como reportes y explicaciones de cómo es la olimpiada alrededor del mundo. Dichas publicaciones se presentan durante la IOI, en la IOI Conference."><meta itemprop=datePublished content="2014-07-24T15:18:10+00:00"><meta itemprop=dateModified content="2014-07-24T15:18:10+00:00"><meta itemprop=wordCount content="170"><meta itemprop=keywords content="News,Contribuir a OmegaUp,Internals,OmegaUp"><meta name=twitter:card content="summary"><meta name=twitter:title content="omegaUp presentado en la International Olympiad in Informatics 2014"><meta name=twitter:description content="Del 13 al 18 de Julio del 2014 se llevó a cabo la International Olympiad in Informatics (IOI) en Taipei, Taiwán. En paralelo a la IOI, el comité organiza la publicación de la revista IOI Journal donde los países participantes pueden publicar artículos sobre la olimpiada en general, tanto técnicos como reportes y explicaciones de cómo es la olimpiada alrededor del mundo. Dichas publicaciones se presentan durante la IOI, en la IOI Conference."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/panel-de-administracion-para-tus-problemas/index.html b/posts/panel-de-administracion-para-tus-problemas/index.html
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diff --git a/posts/practicando-para-la-omi-en-omegaup/index.html b/posts/practicando-para-la-omi-en-omegaup/index.html
index 2080677..c138664 100644
--- a/posts/practicando-para-la-omi-en-omegaup/index.html
+++ b/posts/practicando-para-la-omi-en-omegaup/index.html
@@ -17,6 +17,10 @@
 OMI 2009, día 1 (Karel) OMI 2009, día 2 (Lenguaje) OMI 2010, día 1 (Karel) OMI 2010, día 2, (Lenguaje) OMI 2011, día 1 (Karel) OMI 2011, día 2 (Lenguaje) OMI 2012, día 1 (Karel) OMI 2012, día 2 (Lenguaje) OMI 2013, día 1 (Karel) OMI 2013, día 2 (Lenguaje) Nuevamente agradecemos a Kuko Lopez de la OIEG por ayudarnos a subir los problemas del 2009 al 2011."><meta itemprop=datePublished content="2014-03-17T14:02:16+00:00"><meta itemprop=dateModified content="2014-03-17T14:02:16+00:00"><meta itemprop=wordCount content="103"><meta itemprop=keywords content="Study Material,Concursos"><meta name=twitter:card content="summary"><meta name=twitter:title content="Practicando para la OMI en omegaUp"><meta name=twitter:description content="Si estás practicando para la Olimpiada Mexicana de Informática 2014, omegaUp tiene disponibles los exámenes nacionales desde el 2009 para que intentes resolverlos. Aquí están los enlaces a los concursos de práctica
 OMI 2009, día 1 (Karel) OMI 2009, día 2 (Lenguaje) OMI 2010, día 1 (Karel) OMI 2010, día 2, (Lenguaje) OMI 2011, día 1 (Karel) OMI 2011, día 2 (Lenguaje) OMI 2012, día 1 (Karel) OMI 2012, día 2 (Lenguaje) OMI 2013, día 1 (Karel) OMI 2013, día 2 (Lenguaje) Nuevamente agradecemos a Kuko Lopez de la OIEG por ayudarnos a subir los problemas del 2009 al 2011."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/preselectivo-ioi-2015-inicio/index.html b/posts/preselectivo-ioi-2015-inicio/index.html
index 680c015..198f1fc 100644
--- a/posts/preselectivo-ioi-2015-inicio/index.html
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@@ -5,6 +5,10 @@
   
 Esta semana iniciamos el preselectivo rumbo a la International Olympiad in Informatics 2015. 36 ganadores de la Olimpiada Mexicana de Informática 2014 van a participar en este proceso y pelearán por un lugar para representar a México. Este fue el mensaje de bienvenida:"><meta property="og:type" content="article"><meta property="og:url" content="https://blog.omegaup.com/posts/preselectivo-ioi-2015-inicio/"><meta property="article:section" content="posts"><meta property="article:published_time" content="2014-06-02T14:04:24+00:00"><meta property="article:modified_time" content="2014-06-02T14:04:24+00:00"><meta itemprop=name content="Preselectivo IOI 2015 - Inicio"><meta itemprop=description content="OMI Esta semana iniciamos el preselectivo rumbo a la International Olympiad in Informatics 2015. 36 ganadores de la Olimpiada Mexicana de Informática 2014 van a participar en este proceso y pelearán por un lugar para representar a México. Este fue el mensaje de bienvenida:"><meta itemprop=datePublished content="2014-06-02T14:04:24+00:00"><meta itemprop=dateModified content="2014-06-02T14:04:24+00:00"><meta itemprop=wordCount content="791"><meta itemprop=keywords content="News,Concursos"><meta name=twitter:card content="summary"><meta name=twitter:title content="Preselectivo IOI 2015 - Inicio"><meta name=twitter:description content="OMI Esta semana iniciamos el preselectivo rumbo a la International Olympiad in Informatics 2015. 36 ganadores de la Olimpiada Mexicana de Informática 2014 van a participar en este proceso y pelearán por un lugar para representar a México. Este fue el mensaje de bienvenida:"><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/privacy-policy/index.html b/posts/privacy-policy/index.html
index d6f335d..c2c643c 100644
--- a/posts/privacy-policy/index.html
+++ b/posts/privacy-policy/index.html
@@ -6,6 +6,10 @@
 Personal identification information We may collect personal identification information from Users in a variety of ways, including, but not limited to, when Users visit our site, register on the site, fill out a form, and in connection with other activities, services, features or resources we make available on our Site.Users may be asked for, as appropriate, name, email address. Users may, however, visit our Site anonymously. We will collect personal identification information from Users only if they voluntarily submit such information to us. Users can always refuse to supply personally identification information, except that it may prevent them from engaging in certain Site related activities."><meta itemprop=datePublished content="2015-06-05T08:15:27+00:00"><meta itemprop=dateModified content="2015-06-05T08:15:27+00:00"><meta itemprop=wordCount content="760"><meta itemprop=keywords content="Policies"><meta name=twitter:card content="summary"><meta name=twitter:title content="Privacy Policy"><meta name=twitter:description content="This Privacy Policy governs the manner in which OmegaUp collects, uses, maintains and discloses information collected from users (each, a “User”) of the https://www.omegaup.com website (“Site”).
 Personal identification information We may collect personal identification information from Users in a variety of ways, including, but not limited to, when Users visit our site, register on the site, fill out a form, and in connection with other activities, services, features or resources we make available on our Site.Users may be asked for, as appropriate, name, email address. Users may, however, visit our Site anonymously. We will collect personal identification information from Users only if they voluntarily submit such information to us. Users can always refuse to supply personally identification information, except that it may prevent them from engaging in certain Site related activities."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/quedate-en-casa-con-omegaup-nuestra-respuesta-al-covid-19/index.html b/posts/quedate-en-casa-con-omegaup-nuestra-respuesta-al-covid-19/index.html
index 10bd792..1f809dd 100644
--- a/posts/quedate-en-casa-con-omegaup-nuestra-respuesta-al-covid-19/index.html
+++ b/posts/quedate-en-casa-con-omegaup-nuestra-respuesta-al-covid-19/index.html
@@ -8,6 +8,10 @@
 1. Tutoriales para Profesores: ¿Cómo usar omegaUp para dar clases de programación en línea? omegaUp.com es una plataforma gratuita en Español que ayuda a estudiantes a mejorar sus habilidades en Ingeniería de Software resolviendo retos de programación de una forma divertida y competitiva. Profesores de más de 100 escuelas de nivel Medio Superior y Superior en México y Latinoamérica usan la plataforma para dejar tareas y exámenes con retos de programación que los alumnos pueden resolver en línea."><meta itemprop=datePublished content="2020-03-23T03:38:03+00:00"><meta itemprop=dateModified content="2020-03-23T03:38:03+00:00"><meta itemprop=wordCount content="608"><meta itemprop=keywords content="News,Anuncios,OmegaUp"><meta name=twitter:card content="summary"><meta name=twitter:title content="Quédate en casa con omegaUp - nuestra respuesta al COVID-19"><meta name=twitter:description content="Querida comunidad omegaUp: La epidemia del COVID-19 ha causado cambios importantes en nuestra vida diaria, trabajo, escuela y familia. Para ayudar a manejar el Distanciamiento Social a toda nuestra comunidad, hemos creado la campaña Quédate en casa con omegaUp: una serie de iniciativas educacionales en línea para apoyar la continuidad de la educación tecnológica en Latinoamérica.
 1. Tutoriales para Profesores: ¿Cómo usar omegaUp para dar clases de programación en línea? omegaUp.com es una plataforma gratuita en Español que ayuda a estudiantes a mejorar sus habilidades en Ingeniería de Software resolviendo retos de programación de una forma divertida y competitiva. Profesores de más de 100 escuelas de nivel Medio Superior y Superior en México y Latinoamérica usan la plataforma para dejar tareas y exámenes con retos de programación que los alumnos pueden resolver en línea."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/ranking-contribuidores/index.html b/posts/ranking-contribuidores/index.html
index f6d9331..986f2a4 100644
--- a/posts/ranking-contribuidores/index.html
+++ b/posts/ranking-contribuidores/index.html
@@ -10,6 +10,10 @@
 $$author_score = sum(problem-quality).$$
 En resumidas cuentas, la puntuación de contribuidor de cada persona, será igual a la suma de los puntos de calidad de cada uno de sus problemas. Estos puntos de calidad son los calculados a través del feedback de calidad que deja cada usuario cuando califica los problemas que resolvió o intentó resolver."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/ranking-de-contribuidores-de-omegaup/index.html b/posts/ranking-de-contribuidores-de-omegaup/index.html
index fa4ea4e..2d27d14 100644
--- a/posts/ranking-de-contribuidores-de-omegaup/index.html
+++ b/posts/ranking-de-contribuidores-de-omegaup/index.html
@@ -6,6 +6,10 @@
 En esta ocasión anunciamos el nuevo ranking de nuestros contribuidores más activos del mes en omegaUp:"><meta itemprop=datePublished content="2024-02-03T13:00:00+00:00"><meta itemprop=dateModified content="2024-02-03T13:00:00+00:00"><meta itemprop=wordCount content="264"><meta itemprop=keywords content="Features,Ranking,Anuncios,OmegaUp"><meta name=twitter:card content="summary"><meta name=twitter:title content="El nuevo ranking de contribuidores de omegaUp"><meta name=twitter:description content="En omegaUp, reconocemos y valoramos el impacto positivo de aquellos que contribuyen al desarrollo de nuestra plataforma. Presentamos con entusiasmo nuestro renovado sistema de clasificación, diseñado para destacar la dedicación y habilidades de aquellos que han ayudado a dar forma a omegaUp, ya sea creando desafiantes problemas de programación o contribuyendo de diversas formas.
 En esta ocasión anunciamos el nuevo ranking de nuestros contribuidores más activos del mes en omegaUp:"><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/ranking-de-escuelas-en-omegaup/index.html b/posts/ranking-de-escuelas-en-omegaup/index.html
index fb060f3..ef9c2bc 100644
--- a/posts/ranking-de-escuelas-en-omegaup/index.html
+++ b/posts/ranking-de-escuelas-en-omegaup/index.html
@@ -10,6 +10,10 @@
 En esta ocasión anunciamos el nuevo ranking de escuelas más activas del mes en omegaUp:
 ¿Cómo funciona?La intención del ranking de escuelas es fomentar la participación activa de las escuelas en omegaUp. Para el mes en turno, calculamos el número de usuarios activos y problemas distintos resueltos de cada escuela. El ranking colocará a la escuela con mayor número de usuarios activos en el primer lugar y el número de problemas distintos resueltos se usará como criterio de desempate."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/reglas-del-coder-del-mes/index.html b/posts/reglas-del-coder-del-mes/index.html
index f59d6ed..7b179a3 100644
--- a/posts/reglas-del-coder-del-mes/index.html
+++ b/posts/reglas-del-coder-del-mes/index.html
@@ -18,6 +18,10 @@
 Existen dos programas de Coder del Mes: Coder del Mes para Ellas y Coder del Mes General. Cada inicio de mes se publicarán los ganadores de los dos programas de Coder del Mes. La ganadora del Coder del Mes para Ellas será elegida entre las usuarias que se han identificado con el género femenino en su perfil. El Coder del Mes general no hará distinción de género. Las personas ganadoras serán publicadas en la página principal de omegaUp.com durante el mes correspondiente. La persona con el mayor puntaje acumulado durante el mes resolviendo problemas con distintivo de calidad* será el ganador del Coder del Mes General. La usuaria con el mayor puntaje acumulado durante el mes resolviendo problemas con distintivo de calidad* será la ganadora del Coder del Mes para Ellas. Debes seguir el Código de Conducta de omegaUp. Es posible que se haga una publicación en redes sociales felicitando a los ganadores. Esto dependerá de los recursos disponibles de omegaUp. Dicha publicación incluye compartir información como el alias del usuario y el nombre del usuario. Los administradores de los programas tienen el derecho de determinar la honestidad de los usuarios en sus soluciones utilizando diferentes métodos y descalificar al usuario si se encuentran violaciones. Cualquier violación a estas reglas dará lugar a disposiciones de penalización, incluyendo descalificación al Rank General o a los programas de Coder del Mes. *Los problemas con distintivo de calidad son aquellos que muestran EN el título del problema el siguiente icono: Dicho distintivo es asignado por el departamento de Educación de omegaUp."><meta itemprop=datePublished content="2020-04-23T01:18:18+00:00"><meta itemprop=dateModified content="2020-04-23T01:18:18+00:00"><meta itemprop=wordCount content="323"><meta itemprop=keywords content="Policies,OmegaUp"><meta name=twitter:card content="summary"><meta name=twitter:title content="Reglas del Coder del Mes"><meta name=twitter:description content="El reconocimiento del Coder del Mes en omegaUp se hizo con el objetivo de reconocer a coders activos en la plataforma. A continuación listamos las reglas del programa.
 Existen dos programas de Coder del Mes: Coder del Mes para Ellas y Coder del Mes General. Cada inicio de mes se publicarán los ganadores de los dos programas de Coder del Mes. La ganadora del Coder del Mes para Ellas será elegida entre las usuarias que se han identificado con el género femenino en su perfil. El Coder del Mes general no hará distinción de género. Las personas ganadoras serán publicadas en la página principal de omegaUp.com durante el mes correspondiente. La persona con el mayor puntaje acumulado durante el mes resolviendo problemas con distintivo de calidad* será el ganador del Coder del Mes General. La usuaria con el mayor puntaje acumulado durante el mes resolviendo problemas con distintivo de calidad* será la ganadora del Coder del Mes para Ellas. Debes seguir el Código de Conducta de omegaUp. Es posible que se haga una publicación en redes sociales felicitando a los ganadores. Esto dependerá de los recursos disponibles de omegaUp. Dicha publicación incluye compartir información como el alias del usuario y el nombre del usuario. Los administradores de los programas tienen el derecho de determinar la honestidad de los usuarios en sus soluciones utilizando diferentes métodos y descalificar al usuario si se encuentran violaciones. Cualquier violación a estas reglas dará lugar a disposiciones de penalización, incluyendo descalificación al Rank General o a los programas de Coder del Mes. *Los problemas con distintivo de calidad son aquellos que muestran EN el título del problema el siguiente icono: Dicho distintivo es asignado por el departamento de Educación de omegaUp."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/reporte-de-actividades-2019/index.html b/posts/reporte-de-actividades-2019/index.html
index 4cf8f9f..67fb2ef 100644
--- a/posts/reporte-de-actividades-2019/index.html
+++ b/posts/reporte-de-actividades-2019/index.html
@@ -8,6 +8,10 @@
 Queridos amigos,Cuando escribimos la primer línea de código de omegaUp.com 8 años atrás, estábamos cambiando la industria del software en México, pero no lo sabíamos aún. El 2019 marcó el tercer año de operaciones desde que omegaUp se convirtió en una asociación sin fines de lucro ( registro 501(c)(3) en Estados Unidos) con la misión de construir el camino del mejor talento en Ingeniería de Software en América Latina, ofreciendo una plataforma de aprendizaje accesible y programas sociales."><meta itemprop=datePublished content="2019-10-01T00:00:02+00:00"><meta itemprop=dateModified content="2019-10-01T00:00:02+00:00"><meta itemprop=wordCount content="855"><meta itemprop=keywords content="News,OmegaUp,Reportes"><meta name=twitter:card content="summary"><meta name=twitter:title content="Reporte anual de actividades 2019"><meta name=twitter:description content="“Yo sí creo que omegaUp me ayudó a llegar aquí [Microsoft], porque fue la primera plataforma que usé, y por bastante tiempo, para aprender las bases; y eso realmente cambió el destino de mi vida y para dónde fue mi camino” - Elsy Pinzón, Software Engineer en Microsoft de Yucatán, México.
 Queridos amigos,Cuando escribimos la primer línea de código de omegaUp.com 8 años atrás, estábamos cambiando la industria del software en México, pero no lo sabíamos aún. El 2019 marcó el tercer año de operaciones desde que omegaUp se convirtió en una asociación sin fines de lucro ( registro 501(c)(3) en Estados Unidos) con la misión de construir el camino del mejor talento en Ingeniería de Software en América Latina, ofreciendo una plataforma de aprendizaje accesible y programas sociales."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/resolviendo-problemas-con-un-limite-bajo-de-memoria/index.html b/posts/resolviendo-problemas-con-un-limite-bajo-de-memoria/index.html
index 0f23a2e..4382548 100644
--- a/posts/resolviendo-problemas-con-un-limite-bajo-de-memoria/index.html
+++ b/posts/resolviendo-problemas-con-un-limite-bajo-de-memoria/index.html
@@ -5,6 +5,10 @@
 El límite de memoria de un problema puede cambiar drásticamente la forma en la que podemos resolverlo. Por ejemplo, el problema https://omegaup.com/arena/problem/La-especie-dominante-en-marte nos pide encontrar el número que más se repite en una secuencia, si además sabemos que ese número aparece al menos más de la mitad de las veces. Si estamos usando C++ y conocemos relativamente bien la biblioteca estándar del lenguaje, nuestro primer intento sería algo así:"><meta itemprop=datePublished content="2021-12-05T05:03:04+00:00"><meta itemprop=dateModified content="2021-12-05T05:03:04+00:00"><meta itemprop=wordCount content="527"><meta itemprop=keywords content="Study Material,Material De Estudio,OmegaUp"><meta name=twitter:card content="summary"><meta name=twitter:title content="Resolviendo problemas con un límite bajo de memoria"><meta name=twitter:description content="Gracias @Rodrigo-RCC por este aporte!
 El límite de memoria de un problema puede cambiar drásticamente la forma en la que podemos resolverlo. Por ejemplo, el problema https://omegaup.com/arena/problem/La-especie-dominante-en-marte nos pide encontrar el número que más se repite en una secuencia, si además sabemos que ese número aparece al menos más de la mitad de las veces. Si estamos usando C++ y conocemos relativamente bien la biblioteca estándar del lenguaje, nuestro primer intento sería algo así:"><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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-<span>Ir al inicio</span><svg fill="none" viewBox="0 0 24 24" stroke-width="1.5" stroke="currentcolor" class="hx-inline ltr:hx-ml-1 rtl:hx-mr-1 hx-h-3.5 hx-w-3.5 hx-border hx-rounded-full hx-border-gray-500 hover:hx-border-gray-900 dark:hx-border-gray-400 dark:hover:hx-border-gray-100 contrast-more:hx-border-gray-800 contrast-more:dark:hx-border-gray-50"><path stroke-linecap="round" stroke-linejoin="round" d="M4.5 15.75l7.5-7.5 7.5 7.5"/></svg></button></div></div></nav><article class="hx-w-full hx-break-words hx-flex hx-min-h-[calc(100vh-var(--navbar-height))] hx-min-w-0 hx-justify-center hx-pb-8 hx-pr-[calc(env(safe-area-inset-right)-1.5rem)]"><main class="hx-w-full hx-min-w-0 hx-max-w-6xl hx-px-6 hx-pt-4 md:hx-px-12"><br class="hx-mt-1.5 hx-text-sm"><h1 class="hx-text-center hx-mt-2 hx-text-4xl hx-font-bold hx-tracking-tight hx-text-slate-900 dark:hx-text-slate-100">Resolviendo problemas con un límite bajo de memoria</h1><div class=hx-mb-16></div><div class=content><p>Gracias @Rodrigo-RCC por este aporte!</p><p>El límite de memoria de un problema puede cambiar drásticamente la forma en la que podemos resolverlo. Por ejemplo, el problema <a href=https://omegaup.com/arena/problem/La-especie-dominante-en-marte target=_blank rel=noopener>https://omegaup.com/arena/problem/La-especie-dominante-en-marte</a> nos pide encontrar el número que más se repite en una secuencia, si además sabemos que ese número aparece al menos más de la mitad de las veces. Si estamos usando C++ y conocemos relativamente bien la biblioteca estándar del lenguaje, nuestro primer intento sería algo así:</p><div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code"><div><div class=highlight><pre tabindex=0 style=color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4><code class=language-cpp data-lang=cpp><span style=display:flex><span><span style=color:#75715e>#include</span> <span style=color:#75715e>&lt;iostream&gt;</span><span style=color:#75715e>
-</span></span></span><span style=display:flex><span><span style=color:#75715e>#include</span> <span style=color:#75715e>&lt;map&gt;</span><span style=color:#75715e>
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span>
-</span></span><span style=display:flex><span><span style=color:#66d9ef>int</span> <span style=color:#a6e22e>main</span>( ) {
-</span></span><span style=display:flex><span> std<span style=color:#f92672>::</span>map<span style=color:#f92672>&lt;</span><span style=color:#66d9ef>int</span>, <span style=color:#66d9ef>int</span><span style=color:#f92672>&gt;</span> frecuencias;
-</span></span><span style=display:flex><span> <span style=color:#66d9ef>for</span> (<span style=color:#66d9ef>int</span> n; std<span style=color:#f92672>::</span>cin <span style=color:#f92672>&gt;&gt;</span> n;) {
-</span></span><span style=display:flex><span>    frecuencias<span style=color:#960050;background-color:#1e0010>\</span>[n<span style=color:#960050;background-color:#1e0010>\</span>] <span style=color:#f92672>+=</span> <span style=color:#ae81ff>1</span>;
-</span></span><span style=display:flex><span> }
-</span></span><span style=display:flex><span> <span style=color:#75715e>// revisar qué valor apareció más e imprimirlo
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span>}
-</span></span><span style=display:flex><span>Si enviamos el código anterior, nos llevaremos la desagradable sorpresa de obtener <span style=color:#960050;background-color:#1e0010>\`</span>MLE<span style=color:#960050;background-color:#1e0010>\`</span> (memoria límite excedida). Aunque esta publicación no tiene por objetivo explicar cómo se resuelve el problema, sí podemos mencionar que lo adecuado es un <span style=color:#960050;background-color:#1e0010>\</span><span style=color:#f92672>*</span>algoritmo de streaming<span style=color:#960050;background-color:#1e0010>\</span><span style=color:#f92672>*</span> que surgió en el <span style=color:#960050;background-color:#1e0010>á</span>rea de lo que ahora se conoce como <span style=color:#960050;background-color:#1e0010>\</span><span style=color:#f92672>*</span>Big Data<span style=color:#960050;background-color:#1e0010>\</span><span style=color:#f92672>*</span>. Entonces, el límite bajo de memoria es un intento de obligar al usuario a deducir dicho algoritmo, el cual usa <span style=color:#960050;background-color:#1e0010>ú</span>nicamente tres variables enteras. Desafortunadamente, incluso el siguiente código...
-</span></span><span style=display:flex><span>
-</span></span><span style=display:flex><span><span style=color:#960050;background-color:#1e0010>```</span>cpp
-</span></span><span style=display:flex><span><span style=color:#75715e>#include</span> <span style=color:#75715e>&lt;iostream&gt;</span><span style=color:#75715e>
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span>
-</span></span><span style=display:flex><span><span style=color:#66d9ef>int</span> main( ) {
-</span></span><span style=display:flex><span> <span style=color:#75715e>// leer la entrada y no hacer nada con ella
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span> <span style=color:#75715e>// no nos sabemos el algoritmo y tenemos poca memoria :(
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span> <span style=color:#66d9ef>for</span> (<span style=color:#66d9ef>int</span> n; std<span style=color:#f92672>::</span>cin <span style=color:#f92672>&gt;&gt;</span> n;) {
-</span></span><span style=display:flex><span>    <span style=color:#66d9ef>continue</span>;
-</span></span><span style=display:flex><span> }
-</span></span><span style=display:flex><span>}
-</span></span><span style=display:flex><span><span style=color:#960050;background-color:#1e0010>¡</span>También supera la memoria límite del problema<span style=color:#f92672>!</span>
-</span></span><span style=display:flex><span>
-</span></span><span style=display:flex><span>Un usuario podría pensar (equivocadamente) que entonces el problema es imposible de resolver. Para evitar esta confusión, los usuarios de la plataforma deben tomar en cuenta lo siguiente:
-</span></span><span style=display:flex><span>
-</span></span><span style=display:flex><span><span style=color:#960050;background-color:#1e0010>\</span><span style=color:#f92672>-</span> Existe un <span style=color:#960050;background-color:#1e0010>ú</span>nico límite de memoria por problema, el cual es independiente del lenguaje de programación usado. En el problema descrito previamente, el autor no quiso aumentar artificialmente el límite de memoria sólo para aceptar envíos en todos los lenguajes, porque eso implicaría que alguien que use un lenguaje eficiente podría idear un algoritmo que no era el que el autor quería permitir. Entonces, es verdad que algunos problemas no se pueden resolver en ciertos lenguajes de programación, pero el autor debería garantizar que el problema se puede resolver de forma razonable en por lo menos un lenguaje de programación (de preferencia C y C<span style=color:#f92672>++</span>).
-</span></span><span style=display:flex><span><span style=color:#f92672>-</span> La biblioteca <span style=color:#960050;background-color:#1e0010>\`</span><span style=color:#f92672>&lt;</span>iostream<span style=color:#f92672>&gt;</span><span style=color:#960050;background-color:#1e0010>\`</span> de C<span style=color:#f92672>++</span> consume mucha más memoria de la que uno podría imaginar inicialmente. Esto se puede verificar resolviendo un problema de <span style=color:#e6db74>&#34;Hola Mundo&#34;</span> usando <span style=color:#960050;background-color:#1e0010>\`</span><span style=color:#f92672>&lt;</span>iostream<span style=color:#f92672>&gt;</span><span style=color:#960050;background-color:#1e0010>\`</span> y luego comparándolo con uno que sólo usa <span style=color:#960050;background-color:#1e0010>\`</span><span style=color:#f92672>&lt;</span>stdio.h<span style=color:#f92672>&gt;</span><span style=color:#960050;background-color:#1e0010>\`</span>. Peor aún, basta incluir <span style=color:#960050;background-color:#1e0010>\`</span><span style=color:#f92672>&lt;</span>iostream<span style=color:#f92672>&gt;</span><span style=color:#960050;background-color:#1e0010>\`</span> para que el consumo de memoria del programa aumente, ya que la inclusión de ese archivo al menos provoca que los objetos globales <span style=color:#960050;background-color:#1e0010>\`</span>std<span style=color:#f92672>::</span>cin<span style=color:#960050;background-color:#1e0010>\`</span> y <span style=color:#960050;background-color:#1e0010>\`</span>std<span style=color:#f92672>::</span>cout<span style=color:#960050;background-color:#1e0010>\`</span> se inicialicen.
-</span></span><span style=display:flex><span>
-</span></span><span style=display:flex><span>El siguiente código no calcula la respuesta correcta, pero al menos al menos no superará el límite de memoria :)
-</span></span><span style=display:flex><span>
-</span></span><span style=display:flex><span><span style=color:#960050;background-color:#1e0010>```</span>cpp
-</span></span><span style=display:flex><span><span style=color:#75715e>#include</span> <span style=color:#75715e>&lt;stdio.h&gt;</span><span style=color:#75715e>
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span>
-</span></span><span style=display:flex><span><span style=color:#66d9ef>int</span> main( ) {
-</span></span><span style=display:flex><span> <span style=color:#75715e>// leer la entrada y no hacer nada con ella
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span> <span style=color:#75715e>// no nos sabemos el algoritmo :(
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span> <span style=color:#66d9ef>for</span> (<span style=color:#66d9ef>int</span> n; scanf(<span style=color:#e6db74>&#34;%d&#34;</span>, <span style=color:#f92672>&amp;</span>n) <span style=color:#f92672>==</span> <span style=color:#ae81ff>1</span>;) {
-</span></span><span style=display:flex><span>    <span style=color:#66d9ef>continue</span>;
-</span></span><span style=display:flex><span> }
-</span></span><span style=display:flex><span>}
-</span></span><span style=display:flex><span>Esperamos que esta publicación les haya ayudado a tener una idea más cercana de cómo atacar cierto tipo de problemas inusuales y los invitamos a resolver el problema mencionado en el juez en línea.</span></span></code></pre></div></div><div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0"><button class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50" title="Copiar código"><div class="copy-icon group-[.copied]/copybtn:hx-hidden hx-pointer-events-none hx-h-4 hx-w-4"></div><div class="success-icon hx-hidden group-[.copied]/copybtn:hx-block hx-pointer-events-none hx-h-4 hx-w-4"></div></button></div></div><div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code"><pre><code></code></pre><div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0"><button class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50" title="Copiar código"><div class="copy-icon group-[.copied]/copybtn:hx-hidden hx-pointer-events-none hx-h-4 hx-w-4"></div><div class="success-icon hx-hidden group-[.copied]/copybtn:hx-block hx-pointer-events-none hx-h-4 hx-w-4"></div></button></div></div></div><div class=hx-mt-16></div></main></article></div><footer class="hextra-footer hx-bg-gray-100 hx-pb-[env(safe-area-inset-bottom)] dark:hx-bg-neutral-900 print:hx-bg-transparent"><div class="hx-mx-auto hx-flex hx-gap-2 hx-py-2 hx-px-4 hx-max-w-screen-xl"><button title="Cambiar tema" data-theme=light class="theme-toggle hx-group hx-h-7 hx-rounded-md hx-px-2 hx-text-left hx-text-xs hx-font-medium hx-text-gray-600 hx-transition-colors dark:hx-text-gray-400 hover:hx-bg-gray-100 hover:hx-text-gray-900 dark:hover:hx-bg-primary-100/5 dark:hover:hx-text-gray-50" type=button aria-label="Cambiar tema"><div class="hx-flex hx-items-center hx-gap-2 hx-capitalize"><svg height="12" class="group-data-[theme=light]:hx-hidden" fill="none" viewBox="0 0 24 24" stroke-width="2" stroke="currentcolor" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" d="M12 3v1m0 16v1m9-9h-1M4 12H3m15.364 6.364-.707-.707M6.343 6.343l-.707-.707m12.728.0-.707.707M6.343 17.657l-.707.707M16 12a4 4 0 11-8 0 4 4 0 018 0z"/></svg><span class="group-data-[theme=light]:hx-hidden">Modo claro</span><svg height="12" class="group-data-[theme=dark]:hx-hidden" fill="none" viewBox="0 0 24 24" stroke-width="2" stroke="currentcolor" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" d="M20.354 15.354A9 9 0 018.646 3.646 9.003 9.003.0 0012 21a9.003 9.003.0 008.354-5.646z"/></svg><span class="group-data-[theme=dark]:hx-hidden">Modo oscuro</span></div></button></div><hr class=dark:hx-border-neutral-800><div class="hx-max-w-screen-xl hx-mx-auto hx-flex hx-justify-center hx-py-12 hx-pl-[max(env(safe-area-inset-left),1.5rem)] hx-pr-[max(env(safe-area-inset-right),1.5rem)] hx-text-gray-600 dark:hx-text-gray-400 md:hx-justify-start"><div class="hx-flex hx-w-full hx-flex-col hx-items-center sm:hx-items-start"><div class="hx-mt-6 hx-text-xs">Derechos reservados omegaUp © 2024.</div></div></div></footer><script defer src=/js/main.min.d0f0346255ba9418db8fcf7f9440ca4e532e06276d8df17497e19e1045ee360b.js integrity="sha256-0PA0YlW6lBjbj89/lEDKTlMuBidtjfF0l+GeEEXuNgs="></script><script defer src=/lib/flexsearch/flexsearch.bundle.min.e45e7eb129aae9f684e7f863bb7c1d612ea124b7068e12af80c58c62764a5379.js integrity="sha256-5F5+sSmq6faE5/hju3wdYS6hJLcGjhKvgMWMYnZKU3k="></script><script defer src=/es.search.min.22b690999814062b6c1f520ab1382c4b2dee00893bf5dea1e0d0415986c85591.js integrity="sha256-IraQmZgUBitsH1IKsTgsSy3uAIk79d6h4NBBWYbIVZE="></script></body></html>
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+<span>Ir al inicio</span><svg fill="none" viewBox="0 0 24 24" stroke-width="1.5" stroke="currentcolor" class="hx-inline ltr:hx-ml-1 rtl:hx-mr-1 hx-h-3.5 hx-w-3.5 hx-border hx-rounded-full hx-border-gray-500 hover:hx-border-gray-900 dark:hx-border-gray-400 dark:hover:hx-border-gray-100 contrast-more:hx-border-gray-800 contrast-more:dark:hx-border-gray-50"><path stroke-linecap="round" stroke-linejoin="round" d="M4.5 15.75l7.5-7.5 7.5 7.5"/></svg></button></div></div></nav><article class="hx-w-full hx-break-words hx-flex hx-min-h-[calc(100vh-var(--navbar-height))] hx-min-w-0 hx-justify-center hx-pb-8 hx-pr-[calc(env(safe-area-inset-right)-1.5rem)]"><main class="hx-w-full hx-min-w-0 hx-max-w-6xl hx-px-6 hx-pt-4 md:hx-px-12"><br class="hx-mt-1.5 hx-text-sm"><h1 class="hx-text-center hx-mt-2 hx-text-4xl hx-font-bold hx-tracking-tight hx-text-slate-900 dark:hx-text-slate-100">Resolviendo problemas con un límite bajo de memoria</h1><div class=hx-mb-16></div><div class=content><p>Gracias @Rodrigo-RCC por este aporte!</p><p>El límite de memoria de un problema puede cambiar drásticamente la forma en la que podemos resolverlo. Por ejemplo, el problema <a href=https://omegaup.com/arena/problem/La-especie-dominante-en-marte target=_blank rel=noopener>https://omegaup.com/arena/problem/La-especie-dominante-en-marte</a> nos pide encontrar el número que más se repite en una secuencia, si además sabemos que ese número aparece al menos más de la mitad de las veces. Si estamos usando C++ y conocemos relativamente bien la biblioteca estándar del lenguaje, nuestro primer intento sería algo así:</p><div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code"><div><div class=highlight><pre tabindex=0 class=chroma><code class=language-cpp data-lang=cpp><span class=line><span class=cl><span class=cp>#include</span> <span class=cpf>&lt;iostream&gt;</span><span class=cp>
+</span></span></span><span class=line><span class=cl><span class=cp>#include</span> <span class=cpf>&lt;map&gt;</span><span class=cp>
+</span></span></span><span class=line><span class=cl><span class=cp></span>
+</span></span><span class=line><span class=cl><span class=kt>int</span> <span class=nf>main</span><span class=p>(</span> <span class=p>)</span> <span class=p>{</span>
+</span></span><span class=line><span class=cl> <span class=n>std</span><span class=o>::</span><span class=n>map</span><span class=o>&lt;</span><span class=kt>int</span><span class=p>,</span> <span class=kt>int</span><span class=o>&gt;</span> <span class=n>frecuencias</span><span class=p>;</span>
+</span></span><span class=line><span class=cl> <span class=k>for</span> <span class=p>(</span><span class=kt>int</span> <span class=n>n</span><span class=p>;</span> <span class=n>std</span><span class=o>::</span><span class=n>cin</span> <span class=o>&gt;&gt;</span> <span class=n>n</span><span class=p>;)</span> <span class=p>{</span>
+</span></span><span class=line><span class=cl>    <span class=n>frecuencias</span><span class=err>\</span><span class=p>[</span><span class=n>n</span><span class=err>\</span><span class=p>]</span> <span class=o>+=</span> <span class=mi>1</span><span class=p>;</span>
+</span></span><span class=line><span class=cl> <span class=p>}</span>
+</span></span><span class=line><span class=cl> <span class=c1>// revisar qué valor apareció más e imprimirlo
+</span></span></span><span class=line><span class=cl><span class=c1></span><span class=p>}</span>
+</span></span><span class=line><span class=cl><span class=n>Si</span> <span class=n>enviamos</span> <span class=n>el</span> <span class=n>código</span> <span class=n>anterior</span><span class=p>,</span> <span class=n>nos</span> <span class=n>llevaremos</span> <span class=n>la</span> <span class=n>desagradable</span> <span class=n>sorpresa</span> <span class=n>de</span> <span class=n>obtener</span> <span class=err>\`</span><span class=n>MLE</span><span class=err>\`</span> <span class=p>(</span><span class=n>memoria</span> <span class=n>límite</span> <span class=n>excedida</span><span class=p>).</span> <span class=n>Aunque</span> <span class=n>esta</span> <span class=n>publicación</span> <span class=n>no</span> <span class=n>tiene</span> <span class=n>por</span> <span class=n>objetivo</span> <span class=n>explicar</span> <span class=n>cómo</span> <span class=n>se</span> <span class=n>resuelve</span> <span class=n>el</span> <span class=n>problema</span><span class=p>,</span> <span class=n>sí</span> <span class=n>podemos</span> <span class=n>mencionar</span> <span class=n>que</span> <span class=n>lo</span> <span class=n>adecuado</span> <span class=n>es</span> <span class=n>un</span> <span class=err>\</span><span class=o>*</span><span class=n>algoritmo</span> <span class=n>de</span> <span class=n>streaming</span><span class=err>\</span><span class=o>*</span> <span class=n>que</span> <span class=n>surgió</span> <span class=n>en</span> <span class=n>el</span> <span class=err>á</span><span class=n>rea</span> <span class=n>de</span> <span class=n>lo</span> <span class=n>que</span> <span class=n>ahora</span> <span class=n>se</span> <span class=n>conoce</span> <span class=n>como</span> <span class=err>\</span><span class=o>*</span><span class=n>Big</span> <span class=n>Data</span><span class=err>\</span><span class=o>*</span><span class=p>.</span> <span class=n>Entonces</span><span class=p>,</span> <span class=n>el</span> <span class=n>límite</span> <span class=n>bajo</span> <span class=n>de</span> <span class=n>memoria</span> <span class=n>es</span> <span class=n>un</span> <span class=n>intento</span> <span class=n>de</span> <span class=n>obligar</span> <span class=n>al</span> <span class=n>usuario</span> <span class=n>a</span> <span class=n>deducir</span> <span class=n>dicho</span> <span class=n>algoritmo</span><span class=p>,</span> <span class=n>el</span> <span class=n>cual</span> <span class=n>usa</span> <span class=err>ú</span><span class=n>nicamente</span> <span class=n>tres</span> <span class=n>variables</span> <span class=n>enteras</span><span class=p>.</span> <span class=n>Desafortunadamente</span><span class=p>,</span> <span class=n>incluso</span> <span class=n>el</span> <span class=n>siguiente</span> <span class=n>código</span><span class=p>...</span>
+</span></span><span class=line><span class=cl>
+</span></span><span class=line><span class=cl><span class=err>```</span><span class=n>cpp</span>
+</span></span><span class=line><span class=cl><span class=cp>#include</span> <span class=cpf>&lt;iostream&gt;</span><span class=cp>
+</span></span></span><span class=line><span class=cl><span class=cp></span>
+</span></span><span class=line><span class=cl><span class=kt>int</span> <span class=n>main</span><span class=p>(</span> <span class=p>)</span> <span class=p>{</span>
+</span></span><span class=line><span class=cl> <span class=c1>// leer la entrada y no hacer nada con ella
+</span></span></span><span class=line><span class=cl><span class=c1></span> <span class=c1>// no nos sabemos el algoritmo y tenemos poca memoria :(
+</span></span></span><span class=line><span class=cl><span class=c1></span> <span class=k>for</span> <span class=p>(</span><span class=kt>int</span> <span class=n>n</span><span class=p>;</span> <span class=n>std</span><span class=o>::</span><span class=n>cin</span> <span class=o>&gt;&gt;</span> <span class=n>n</span><span class=p>;)</span> <span class=p>{</span>
+</span></span><span class=line><span class=cl>    <span class=k>continue</span><span class=p>;</span>
+</span></span><span class=line><span class=cl> <span class=p>}</span>
+</span></span><span class=line><span class=cl><span class=p>}</span>
+</span></span><span class=line><span class=cl><span class=err>¡</span><span class=n>También</span> <span class=n>supera</span> <span class=n>la</span> <span class=n>memoria</span> <span class=n>límite</span> <span class=n>del</span> <span class=n>problema</span><span class=o>!</span>
+</span></span><span class=line><span class=cl>
+</span></span><span class=line><span class=cl><span class=n>Un</span> <span class=n>usuario</span> <span class=n>podría</span> <span class=n>pensar</span> <span class=p>(</span><span class=n>equivocadamente</span><span class=p>)</span> <span class=n>que</span> <span class=n>entonces</span> <span class=n>el</span> <span class=n>problema</span> <span class=n>es</span> <span class=n>imposible</span> <span class=n>de</span> <span class=n>resolver</span><span class=p>.</span> <span class=n>Para</span> <span class=n>evitar</span> <span class=n>esta</span> <span class=n>confusión</span><span class=p>,</span> <span class=n>los</span> <span class=n>usuarios</span> <span class=n>de</span> <span class=n>la</span> <span class=n>plataforma</span> <span class=n>deben</span> <span class=n>tomar</span> <span class=n>en</span> <span class=n>cuenta</span> <span class=n>lo</span> <span class=nl>siguiente</span><span class=p>:</span>
+</span></span><span class=line><span class=cl>
+</span></span><span class=line><span class=cl><span class=err>\</span><span class=o>-</span> <span class=n>Existe</span> <span class=n>un</span> <span class=err>ú</span><span class=n>nico</span> <span class=n>límite</span> <span class=n>de</span> <span class=n>memoria</span> <span class=n>por</span> <span class=n>problema</span><span class=p>,</span> <span class=n>el</span> <span class=n>cual</span> <span class=n>es</span> <span class=n>independiente</span> <span class=n>del</span> <span class=n>lenguaje</span> <span class=n>de</span> <span class=n>programación</span> <span class=n>usado</span><span class=p>.</span> <span class=n>En</span> <span class=n>el</span> <span class=n>problema</span> <span class=n>descrito</span> <span class=n>previamente</span><span class=p>,</span> <span class=n>el</span> <span class=n>autor</span> <span class=n>no</span> <span class=n>quiso</span> <span class=n>aumentar</span> <span class=n>artificialmente</span> <span class=n>el</span> <span class=n>límite</span> <span class=n>de</span> <span class=n>memoria</span> <span class=n>sólo</span> <span class=n>para</span> <span class=n>aceptar</span> <span class=n>envíos</span> <span class=n>en</span> <span class=n>todos</span> <span class=n>los</span> <span class=n>lenguajes</span><span class=p>,</span> <span class=n>porque</span> <span class=n>eso</span> <span class=n>implicaría</span> <span class=n>que</span> <span class=n>alguien</span> <span class=n>que</span> <span class=n>use</span> <span class=n>un</span> <span class=n>lenguaje</span> <span class=n>eficiente</span> <span class=n>podría</span> <span class=n>idear</span> <span class=n>un</span> <span class=n>algoritmo</span> <span class=n>que</span> <span class=n>no</span> <span class=n>era</span> <span class=n>el</span> <span class=n>que</span> <span class=n>el</span> <span class=n>autor</span> <span class=n>quería</span> <span class=n>permitir</span><span class=p>.</span> <span class=n>Entonces</span><span class=p>,</span> <span class=n>es</span> <span class=n>verdad</span> <span class=n>que</span> <span class=n>algunos</span> <span class=n>problemas</span> <span class=n>no</span> <span class=n>se</span> <span class=n>pueden</span> <span class=n>resolver</span> <span class=n>en</span> <span class=n>ciertos</span> <span class=n>lenguajes</span> <span class=n>de</span> <span class=n>programación</span><span class=p>,</span> <span class=n>pero</span> <span class=n>el</span> <span class=n>autor</span> <span class=n>debería</span> <span class=n>garantizar</span> <span class=n>que</span> <span class=n>el</span> <span class=n>problema</span> <span class=n>se</span> <span class=n>puede</span> <span class=n>resolver</span> <span class=n>de</span> <span class=n>forma</span> <span class=n>razonable</span> <span class=n>en</span> <span class=n>por</span> <span class=n>lo</span> <span class=n>menos</span> <span class=n>un</span> <span class=n>lenguaje</span> <span class=n>de</span> <span class=n>programación</span> <span class=p>(</span><span class=n>de</span> <span class=n>preferencia</span> <span class=n>C</span> <span class=n>y</span> <span class=n>C</span><span class=o>++</span><span class=p>).</span>
+</span></span><span class=line><span class=cl><span class=o>-</span> <span class=n>La</span> <span class=n>biblioteca</span> <span class=err>\`</span><span class=o>&lt;</span><span class=n>iostream</span><span class=o>&gt;</span><span class=err>\`</span> <span class=n>de</span> <span class=n>C</span><span class=o>++</span> <span class=n>consume</span> <span class=n>mucha</span> <span class=n>más</span> <span class=n>memoria</span> <span class=n>de</span> <span class=n>la</span> <span class=n>que</span> <span class=n>uno</span> <span class=n>podría</span> <span class=n>imaginar</span> <span class=n>inicialmente</span><span class=p>.</span> <span class=n>Esto</span> <span class=n>se</span> <span class=n>puede</span> <span class=n>verificar</span> <span class=n>resolviendo</span> <span class=n>un</span> <span class=n>problema</span> <span class=n>de</span> <span class=s>&#34;Hola Mundo&#34;</span> <span class=n>usando</span> <span class=err>\`</span><span class=o>&lt;</span><span class=n>iostream</span><span class=o>&gt;</span><span class=err>\`</span> <span class=n>y</span> <span class=n>luego</span> <span class=n>comparándolo</span> <span class=n>con</span> <span class=n>uno</span> <span class=n>que</span> <span class=n>sólo</span> <span class=n>usa</span> <span class=err>\`</span><span class=o>&lt;</span><span class=n>stdio</span><span class=p>.</span><span class=n>h</span><span class=o>&gt;</span><span class=err>\`</span><span class=p>.</span> <span class=n>Peor</span> <span class=n>aún</span><span class=p>,</span> <span class=n>basta</span> <span class=n>incluir</span> <span class=err>\`</span><span class=o>&lt;</span><span class=n>iostream</span><span class=o>&gt;</span><span class=err>\`</span> <span class=n>para</span> <span class=n>que</span> <span class=n>el</span> <span class=n>consumo</span> <span class=n>de</span> <span class=n>memoria</span> <span class=n>del</span> <span class=n>programa</span> <span class=n>aumente</span><span class=p>,</span> <span class=n>ya</span> <span class=n>que</span> <span class=n>la</span> <span class=n>inclusión</span> <span class=n>de</span> <span class=n>ese</span> <span class=n>archivo</span> <span class=n>al</span> <span class=n>menos</span> <span class=n>provoca</span> <span class=n>que</span> <span class=n>los</span> <span class=n>objetos</span> <span class=n>globales</span> <span class=err>\`</span><span class=n>std</span><span class=o>::</span><span class=n>cin</span><span class=err>\`</span> <span class=n>y</span> <span class=err>\`</span><span class=n>std</span><span class=o>::</span><span class=n>cout</span><span class=err>\`</span> <span class=n>se</span> <span class=n>inicialicen</span><span class=p>.</span>
+</span></span><span class=line><span class=cl>
+</span></span><span class=line><span class=cl><span class=n>El</span> <span class=n>siguiente</span> <span class=n>código</span> <span class=n>no</span> <span class=n>calcula</span> <span class=n>la</span> <span class=n>respuesta</span> <span class=n>correcta</span><span class=p>,</span> <span class=n>pero</span> <span class=n>al</span> <span class=n>menos</span> <span class=n>al</span> <span class=n>menos</span> <span class=n>no</span> <span class=n>superará</span> <span class=n>el</span> <span class=n>límite</span> <span class=n>de</span> <span class=nl>memoria</span> <span class=p>:)</span>
+</span></span><span class=line><span class=cl>
+</span></span><span class=line><span class=cl><span class=err>```</span><span class=n>cpp</span>
+</span></span><span class=line><span class=cl><span class=cp>#include</span> <span class=cpf>&lt;stdio.h&gt;</span><span class=cp>
+</span></span></span><span class=line><span class=cl><span class=cp></span>
+</span></span><span class=line><span class=cl><span class=kt>int</span> <span class=n>main</span><span class=p>(</span> <span class=p>)</span> <span class=p>{</span>
+</span></span><span class=line><span class=cl> <span class=c1>// leer la entrada y no hacer nada con ella
+</span></span></span><span class=line><span class=cl><span class=c1></span> <span class=c1>// no nos sabemos el algoritmo :(
+</span></span></span><span class=line><span class=cl><span class=c1></span> <span class=k>for</span> <span class=p>(</span><span class=kt>int</span> <span class=n>n</span><span class=p>;</span> <span class=n>scanf</span><span class=p>(</span><span class=s>&#34;%d&#34;</span><span class=p>,</span> <span class=o>&amp;</span><span class=n>n</span><span class=p>)</span> <span class=o>==</span> <span class=mi>1</span><span class=p>;)</span> <span class=p>{</span>
+</span></span><span class=line><span class=cl>    <span class=k>continue</span><span class=p>;</span>
+</span></span><span class=line><span class=cl> <span class=p>}</span>
+</span></span><span class=line><span class=cl><span class=p>}</span>
+</span></span><span class=line><span class=cl><span class=n>Esperamos</span> <span class=n>que</span> <span class=n>esta</span> <span class=n>publicación</span> <span class=n>les</span> <span class=n>haya</span> <span class=n>ayudado</span> <span class=n>a</span> <span class=n>tener</span> <span class=n>una</span> <span class=n>idea</span> <span class=n>más</span> <span class=n>cercana</span> <span class=n>de</span> <span class=n>cómo</span> <span class=n>atacar</span> <span class=n>cierto</span> <span class=n>tipo</span> <span class=n>de</span> <span class=n>problemas</span> <span class=n>inusuales</span> <span class=n>y</span> <span class=n>los</span> <span class=n>invitamos</span> <span class=n>a</span> <span class=n>resolver</span> <span class=n>el</span> <span class=n>problema</span> <span class=n>mencionado</span> <span class=n>en</span> <span class=n>el</span> <span class=n>juez</span> <span class=n>en</span> <span class=n>línea</span><span class=p>.</span></span></span></code></pre></div></div><div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0"><button class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50" title="Copiar código"><div class="copy-icon group-[.copied]/copybtn:hx-hidden hx-pointer-events-none hx-h-4 hx-w-4"></div><div class="success-icon hx-hidden group-[.copied]/copybtn:hx-block hx-pointer-events-none hx-h-4 hx-w-4"></div></button></div></div><div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code"><pre><code></code></pre><div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 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diff --git a/posts/revision-codigo-envios-cursos/index.html b/posts/revision-codigo-envios-cursos/index.html
index 3a2b5f4..cb3ff3f 100644
--- a/posts/revision-codigo-envios-cursos/index.html
+++ b/posts/revision-codigo-envios-cursos/index.html
@@ -6,6 +6,10 @@
 Antecedentes Anteriormente, en los cursos de omegaUp, solo se disponía de un campo general para escribir retroalimentación por cada envío realizado por la persona estudiante. Esto impedía que la persona organizadora contara con las herramientas necesarias para detallar adecuadamente los comentarios."><meta itemprop=datePublished content="2024-08-19T23:12:06+00:00"><meta itemprop=dateModified content="2024-08-19T23:12:06+00:00"><meta itemprop=wordCount content="868"><meta itemprop=keywords content="Features,Cursos"><meta name=twitter:card content="summary"><meta name=twitter:title content="Revisión de código en envíos de cursos"><meta name=twitter:description content="Nos complace anunciar la liberación de una nueva funcionalidad llamada “Revisión de código en envíos de cursos”. Esta herramienta permitirá a las personas organizadoras de cursos brindar retroalimentación directamente en el código enviado por sus estudiantes, agilizando así el proceso de revisión.
 Antecedentes Anteriormente, en los cursos de omegaUp, solo se disponía de un campo general para escribir retroalimentación por cada envío realizado por la persona estudiante. Esto impedía que la persona organizadora contara con las herramientas necesarias para detallar adecuadamente los comentarios."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/se-realiza-la-1era-competencia-peruana-de-informatica-para-pre-universitarios/index.html b/posts/se-realiza-la-1era-competencia-peruana-de-informatica-para-pre-universitarios/index.html
index 5ded8d7..312a731 100644
--- a/posts/se-realiza-la-1era-competencia-peruana-de-informatica-para-pre-universitarios/index.html
+++ b/posts/se-realiza-la-1era-competencia-peruana-de-informatica-para-pre-universitarios/index.html
@@ -9,6 +9,10 @@
 El pasado domingo 28 de mayo de 2017 se realizó la 1era Competencia Peruana de Informática Online (CPIO). Organizada por la Federación Olímpica Peruana de Informática (FOPI), la CPIO es la primera competencia en su tipo que convoca a alumnos pre-universitarios de todo el Perú para conformar la delegación peruana rumbo a la Competencia Iberoamericana de Informática y Computación (CIIC) 2017**.**"><meta itemprop=datePublished content="2017-06-01T03:43:49+00:00"><meta itemprop=dateModified content="2017-06-01T03:43:49+00:00"><meta itemprop=wordCount content="327"><meta itemprop=keywords content="News,Concursos,OmegaUp,Image"><meta name=twitter:card content="summary"><meta name=twitter:title content="Se realiza la 1era Competencia Peruana de Informática Online en omegaUp"><meta name=twitter:description content="1ra Competencia Peruana de Informática Online
 El pasado domingo 28 de mayo de 2017 se realizó la 1era Competencia Peruana de Informática Online (CPIO). Organizada por la Federación Olímpica Peruana de Informática (FOPI), la CPIO es la primera competencia en su tipo que convoca a alumnos pre-universitarios de todo el Perú para conformar la delegación peruana rumbo a la Competencia Iberoamericana de Informática y Computación (CIIC) 2017**.**"><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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 hx-text-gray-500 hover:hx-bg-gray-100 hover:hx-text-gray-900 contrast-more:hx-border contrast-more:hx-border-transparent contrast-more:hx-text-gray-900 contrast-more:hover:hx-border-gray-900 dark:hx-text-neutral-400 dark:hover:hx-bg-primary-100/5 dark:hover:hx-text-gray-50 contrast-more:dark:hx-text-gray-50 contrast-more:dark:hover:hx-border-gray-50" href=/posts/>Entradas del blog omegaUp
diff --git a/posts/seguridad-ie-en-windows-xp/index.html b/posts/seguridad-ie-en-windows-xp/index.html
index e1f1363..d518313 100644
--- a/posts/seguridad-ie-en-windows-xp/index.html
+++ b/posts/seguridad-ie-en-windows-xp/index.html
@@ -5,6 +5,10 @@
 Para los interesados, el cambio consistió en hacer un par de optimizaciones para nginx[2], para reducir el tiempo de espera al primer byte, y actualizar la configuración de TLS: se quitaron SSLv2 y SSLv3 (que ya se consideran inseguros), se agregaron TLSv1.1 y TLSv1.2, se eliminó RC4 como algoritmo de cifrado, y ahora se prefiere ECDHE como algoritmo de intercambio de llaves para proveer Perfect Forward Secrecy[3]."><meta itemprop=datePublished content="2014-01-05T20:37:08+00:00"><meta itemprop=dateModified content="2014-01-05T20:37:08+00:00"><meta itemprop=wordCount content="151"><meta itemprop=keywords content="News,Internals"><meta name=twitter:card content="summary"><meta name=twitter:title content="Seguridad: IE en Windows XP"><meta name=twitter:description content="Debido a un reciente cambio para mejorar la seguridad de la conexión a omegaUp, hemos decidido dejar de soportar oficialmente IE en Windows XP, a pesar de que sabemos que aún sigue siendo el segundo sistema operativo más común a nivel mundial[1]. Si aún están obligados a usar Windows XP, por favor utilicen algún navegador moderno (Chrome, Firefox u Opera) o alguna versión portátil.
 Para los interesados, el cambio consistió en hacer un par de optimizaciones para nginx[2], para reducir el tiempo de espera al primer byte, y actualizar la configuración de TLS: se quitaron SSLv2 y SSLv3 (que ya se consideran inseguros), se agregaron TLSv1.1 y TLSv1.2, se eliminó RC4 como algoritmo de cifrado, y ahora se prefiere ECDHE como algoritmo de intercambio de llaves para proveer Perfect Forward Secrecy[3]."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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@@ -123,4 +127,4 @@
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 <span>Ir al inicio</span><svg fill="none" viewBox="0 0 24 24" stroke-width="1.5" stroke="currentcolor" class="hx-inline ltr:hx-ml-1 rtl:hx-mr-1 hx-h-3.5 hx-w-3.5 hx-border hx-rounded-full hx-border-gray-500 hover:hx-border-gray-900 dark:hx-border-gray-400 dark:hover:hx-border-gray-100 contrast-more:hx-border-gray-800 contrast-more:dark:hx-border-gray-50"><path stroke-linecap="round" stroke-linejoin="round" d="M4.5 15.75l7.5-7.5 7.5 7.5"/></svg></button></div></div></nav><article class="hx-w-full hx-break-words hx-flex hx-min-h-[calc(100vh-var(--navbar-height))] hx-min-w-0 hx-justify-center hx-pb-8 hx-pr-[calc(env(safe-area-inset-right)-1.5rem)]"><main class="hx-w-full hx-min-w-0 hx-max-w-6xl hx-px-6 hx-pt-4 md:hx-px-12"><br class="hx-mt-1.5 hx-text-sm"><h1 class="hx-text-center hx-mt-2 hx-text-4xl hx-font-bold hx-tracking-tight hx-text-slate-900 dark:hx-text-slate-100">Seguridad: IE en Windows XP</h1><div class=hx-mb-16></div><div class=content><p>Debido a un reciente cambio para mejorar la seguridad de la conexión a omegaUp, hemos decidido dejar de soportar oficialmente IE en Windows XP, a pesar de que sabemos que aún sigue siendo el segundo sistema operativo más común a nivel mundial[1]. Si aún están obligados a usar Windows XP, por favor utilicen algún navegador moderno (Chrome, Firefox u Opera) o alguna versión <a href=http://portableapps.com/apps/internet target=_blank rel=noopener>portátil</a>.</p><p>Para los interesados, el cambio consistió en hacer un par de optimizaciones para nginx[2], para reducir el tiempo de espera al primer byte, y actualizar la configuración de TLS: se quitaron SSLv2 y SSLv3 (que ya se consideran inseguros), se agregaron TLSv1.1 y TLSv1.2, se eliminó RC4 como algoritmo de cifrado, y ahora se prefiere ECDHE como algoritmo de intercambio de llaves para proveer Perfect Forward Secrecy[3].</p><h2>Referencias<span class="hx-absolute -hx-mt-20" id=referencias></span>
-<a href=#referencias class=subheading-anchor aria-label="Permalink for this section"></a></h2><ol><li><p>Reporte NetMarketShare, Enero 2014:</p></li><li><p><a href=http://www.igvita.com/2013/12/16/optimizing-nginx-tls-time-to-first-byte/ target=_blank rel=noopener>Optimizing NGINX TLS Time To First Byte (TTFB)</a> - igvita.com</p></li><li><p><a href=http://es.wikipedia.org/wiki/Perfect_forward_secrecy target=_blank rel=noopener>Perfect Forward Secrecy</a> - Wikipedia</p></li></ol></div><div class=hx-mt-16></div></main></article></div><footer class="hextra-footer hx-bg-gray-100 hx-pb-[env(safe-area-inset-bottom)] dark:hx-bg-neutral-900 print:hx-bg-transparent"><div class="hx-mx-auto hx-flex hx-gap-2 hx-py-2 hx-px-4 hx-max-w-screen-xl"><button title="Cambiar tema" data-theme=light class="theme-toggle hx-group hx-h-7 hx-rounded-md hx-px-2 hx-text-left hx-text-xs hx-font-medium hx-text-gray-600 hx-transition-colors dark:hx-text-gray-400 hover:hx-bg-gray-100 hover:hx-text-gray-900 dark:hover:hx-bg-primary-100/5 dark:hover:hx-text-gray-50" type=button aria-label="Cambiar tema"><div class="hx-flex hx-items-center hx-gap-2 hx-capitalize"><svg height="12" class="group-data-[theme=light]:hx-hidden" fill="none" viewBox="0 0 24 24" stroke-width="2" stroke="currentcolor" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" d="M12 3v1m0 16v1m9-9h-1M4 12H3m15.364 6.364-.707-.707M6.343 6.343l-.707-.707m12.728.0-.707.707M6.343 17.657l-.707.707M16 12a4 4 0 11-8 0 4 4 0 018 0z"/></svg><span class="group-data-[theme=light]:hx-hidden">Modo claro</span><svg height="12" class="group-data-[theme=dark]:hx-hidden" fill="none" viewBox="0 0 24 24" stroke-width="2" stroke="currentcolor" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" d="M20.354 15.354A9 9 0 018.646 3.646 9.003 9.003.0 0012 21a9.003 9.003.0 008.354-5.646z"/></svg><span class="group-data-[theme=dark]:hx-hidden">Modo oscuro</span></div></button></div><hr class=dark:hx-border-neutral-800><div class="hx-max-w-screen-xl hx-mx-auto hx-flex hx-justify-center hx-py-12 hx-pl-[max(env(safe-area-inset-left),1.5rem)] hx-pr-[max(env(safe-area-inset-right),1.5rem)] hx-text-gray-600 dark:hx-text-gray-400 md:hx-justify-start"><div class="hx-flex hx-w-full hx-flex-col hx-items-center sm:hx-items-start"><div class="hx-mt-6 hx-text-xs">Derechos reservados omegaUp © 2024.</div></div></div></footer><script defer src=/js/main.min.d0f0346255ba9418db8fcf7f9440ca4e532e06276d8df17497e19e1045ee360b.js integrity="sha256-0PA0YlW6lBjbj89/lEDKTlMuBidtjfF0l+GeEEXuNgs="></script><script defer src=/lib/flexsearch/flexsearch.bundle.min.e45e7eb129aae9f684e7f863bb7c1d612ea124b7068e12af80c58c62764a5379.js integrity="sha256-5F5+sSmq6faE5/hju3wdYS6hJLcGjhKvgMWMYnZKU3k="></script><script defer src=/es.search.min.22b690999814062b6c1f520ab1382c4b2dee00893bf5dea1e0d0415986c85591.js integrity="sha256-IraQmZgUBitsH1IKsTgsSy3uAIk79d6h4NBBWYbIVZE="></script></body></html>
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+<a href=#referencias class=subheading-anchor aria-label="Permalink for this section"></a></h2><ol><li><p>Reporte NetMarketShare, Enero 2014:</p><iframe id=na635245505602870000 src frameborder=0 marginwidth=0 marginheight=0 scrolling=no width=600 height=570></iframe></li><li><p><a href=http://www.igvita.com/2013/12/16/optimizing-nginx-tls-time-to-first-byte/ target=_blank rel=noopener>Optimizing NGINX TLS Time To First Byte (TTFB)</a> - igvita.com</p></li><li><p><a href=http://es.wikipedia.org/wiki/Perfect_forward_secrecy target=_blank rel=noopener>Perfect Forward Secrecy</a> - Wikipedia</p></li></ol></div><div class=hx-mt-16></div></main></article></div><footer class="hextra-footer hx-bg-gray-100 hx-pb-[env(safe-area-inset-bottom)] dark:hx-bg-neutral-900 print:hx-bg-transparent"><div class="hx-mx-auto hx-flex hx-gap-2 hx-py-2 hx-px-4 hx-max-w-screen-xl"><button title="Cambiar tema" data-theme=light class="theme-toggle hx-group hx-h-7 hx-rounded-md hx-px-2 hx-text-left hx-text-xs hx-font-medium hx-text-gray-600 hx-transition-colors dark:hx-text-gray-400 hover:hx-bg-gray-100 hover:hx-text-gray-900 dark:hover:hx-bg-primary-100/5 dark:hover:hx-text-gray-50" type=button aria-label="Cambiar tema"><div class="hx-flex hx-items-center hx-gap-2 hx-capitalize"><svg height="12" class="group-data-[theme=light]:hx-hidden" fill="none" viewBox="0 0 24 24" stroke-width="2" stroke="currentcolor" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" d="M12 3v1m0 16v1m9-9h-1M4 12H3m15.364 6.364-.707-.707M6.343 6.343l-.707-.707m12.728.0-.707.707M6.343 17.657l-.707.707M16 12a4 4 0 11-8 0 4 4 0 018 0z"/></svg><span class="group-data-[theme=light]:hx-hidden">Modo claro</span><svg height="12" class="group-data-[theme=dark]:hx-hidden" fill="none" viewBox="0 0 24 24" stroke-width="2" stroke="currentcolor" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" d="M20.354 15.354A9 9 0 018.646 3.646 9.003 9.003.0 0012 21a9.003 9.003.0 008.354-5.646z"/></svg><span class="group-data-[theme=dark]:hx-hidden">Modo oscuro</span></div></button></div><hr class=dark:hx-border-neutral-800><div class="hx-max-w-screen-xl hx-mx-auto hx-flex hx-justify-center hx-py-12 hx-pl-[max(env(safe-area-inset-left),1.5rem)] hx-pr-[max(env(safe-area-inset-right),1.5rem)] hx-text-gray-600 dark:hx-text-gray-400 md:hx-justify-start"><div class="hx-flex hx-w-full hx-flex-col hx-items-center sm:hx-items-start"><div class="hx-mt-6 hx-text-xs">Derechos reservados omegaUp © 2024.</div></div></div></footer><script defer src=/js/main.min.d0f0346255ba9418db8fcf7f9440ca4e532e06276d8df17497e19e1045ee360b.js integrity="sha256-0PA0YlW6lBjbj89/lEDKTlMuBidtjfF0l+GeEEXuNgs="></script><script defer src=/lib/flexsearch/flexsearch.bundle.min.e45e7eb129aae9f684e7f863bb7c1d612ea124b7068e12af80c58c62764a5379.js integrity="sha256-5F5+sSmq6faE5/hju3wdYS6hJLcGjhKvgMWMYnZKU3k="></script><script defer src=/es.search.min.22b690999814062b6c1f520ab1382c4b2dee00893bf5dea1e0d0415986c85591.js integrity="sha256-IraQmZgUBitsH1IKsTgsSy3uAIk79d6h4NBBWYbIVZE="></script></body></html>
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diff --git a/posts/solucion-a-alfiles/index.html b/posts/solucion-a-alfiles/index.html
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--- a/posts/solucion-a-alfiles/index.html
+++ b/posts/solucion-a-alfiles/index.html
@@ -11,6 +11,10 @@
 Lo primero que se debe de notar es que en cada una de las $latex 2n-1$ diagonales principales, las cuales mostradas en la imagen de abajo, habrá máximo 1 alfil. Lo mismo se cumple para las diagonales invertidas, mostradas también en una imagen abajo.
 Ahora, cada diagonal principal se cruza con ciertas diagonales invertidas. Entonces se plantea una solución de tipo Backtracking que corre sobre las diagonales principales marcando diagonales invertidas a cada paso (representando que se ha colocado un alfil en el cruce de esas dos diagonales)."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/solucion-a-bloqueo/index.html b/posts/solucion-a-bloqueo/index.html
index 16882fe..748754d 100644
--- a/posts/solucion-a-bloqueo/index.html
+++ b/posts/solucion-a-bloqueo/index.html
@@ -5,6 +5,10 @@
 La primera observación que hay que hacer es que si todas las carreteras son bidireccionales y entre cada par de ciudades existe exactamente un camino que las conecta (usando una o mas carreteras) entonces la representación gráfica del problema es un árbol: los nodos representan las ciudades y las aristas representan las carreteras. La siguiente figura, muestra el árbol que representa el caso de prueba dado como ejemplo. Los nodos rojos representan las ciudades ocupadas, el esfuerzo necesario para destruir cada carretera se muestra junto a la arista correspondiente. Entonces queremos eliminar un subconjunto de aristas de peso total mínimo de tal forma que los nodos rojos queden separados."><meta itemprop=datePublished content="2013-09-10T19:35:59+00:00"><meta itemprop=dateModified content="2013-09-10T19:35:59+00:00"><meta itemprop=wordCount content="828"><meta itemprop=keywords content="Solution,Bloqueo,Etapa 1,Examen 8,Khayyam,Preselectivo,Solución,Soluciones Preselectivo 2014"><meta name=twitter:card content="summary"><meta name=twitter:title content='Solución a "Bloqueo"'><meta name=twitter:description content="Concurso: Preselectivo para la IOI 2014, Etapa 1, Problemset 8 Autor: Khayyam Fuente: Khayyam
 La primera observación que hay que hacer es que si todas las carreteras son bidireccionales y entre cada par de ciudades existe exactamente un camino que las conecta (usando una o mas carreteras) entonces la representación gráfica del problema es un árbol: los nodos representan las ciudades y las aristas representan las carreteras. La siguiente figura, muestra el árbol que representa el caso de prueba dado como ejemplo. Los nodos rojos representan las ciudades ocupadas, el esfuerzo necesario para destruir cada carretera se muestra junto a la arista correspondiente. Entonces queremos eliminar un subconjunto de aristas de peso total mínimo de tal forma que los nodos rojos queden separados."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/solucion-a-cambio/index.html b/posts/solucion-a-cambio/index.html
index 2db8517..a849761 100644
--- a/posts/solucion-a-cambio/index.html
+++ b/posts/solucion-a-cambio/index.html
@@ -10,6 +10,10 @@
 Lo importante de este problema es notar como se puede usar un backtracking para contar cosas. En este caso lo que se debía contar era la cantidad de formas de llegar a una cantidad sumando una o más veces una serie de cantidades dadas.
 Solución de 30, 50 puntos Generar todas las combinaciones que sumen la cantidad C pedida. Para hacer esto se puede hacer con una búsqueda en profundidad de manera ordenada de la misma forma que se calculan permutaciones pero cuidando que la suma no sobrepase el valor C deseado. Esto se puede considerar una búsqueda podada."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/solucion-a-carretera/index.html b/posts/solucion-a-carretera/index.html
index 29012d6..53f9b21 100644
--- a/posts/solucion-a-carretera/index.html
+++ b/posts/solucion-a-carretera/index.html
@@ -9,6 +9,10 @@
 Para obtener los puntos de la primer subtarea bastaba notar que las condiciones especificadas significan que hay dos bloques de coches yendo en diferentes sentidos que inicialmente no se intersectan y eventualmente lo harán, por lo que la respuesta simplemente es el máximo de los anchos de estos bloques.
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diff --git a/posts/solucion-a-chilly-rapero/index.html b/posts/solucion-a-chilly-rapero/index.html
index c65cafc..b833f5d 100644
--- a/posts/solucion-a-chilly-rapero/index.html
+++ b/posts/solucion-a-chilly-rapero/index.html
@@ -5,6 +5,10 @@
 La clave para resolver este problema es interpretar las palabras como nodos y los cambios entre palabras como aristas, de manera que podamos verlo todo como un grafo no dirigido. Asignamos a cada palabra un nodo y creamos las aristas entre nodos verificando alguna de las condiciones que se proponen en el enunciado del problema: si una palabra A es un prefijo o sufijo de la palabra B o la palabra A difiere con la palabra B por un solo caracter, establecemos una arista entre los nodos A y B."><meta itemprop=datePublished content="2013-01-12T19:41:11+00:00"><meta itemprop=dateModified content="2013-01-12T19:41:11+00:00"><meta itemprop=wordCount content="223"><meta itemprop=keywords content="Solution,Etapa 1,Ethan Jiménez,Examen 12,Preselectivo,Solución,Soluciones Preselectivo 2013"><meta name=twitter:card content="summary"><meta name=twitter:title content='Solución a "Chilly Rapero"'><meta name=twitter:description content="Concurso: Preselectivo para la IOI 2013, Etapa 1, Examen 12 Autor: Ethan Jiménez Vargas
 La clave para resolver este problema es interpretar las palabras como nodos y los cambios entre palabras como aristas, de manera que podamos verlo todo como un grafo no dirigido. Asignamos a cada palabra un nodo y creamos las aristas entre nodos verificando alguna de las condiciones que se proponen en el enunciado del problema: si una palabra A es un prefijo o sufijo de la palabra B o la palabra A difiere con la palabra B por un solo caracter, establecemos una arista entre los nodos A y B."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/solucion-a-coleccion/index.html b/posts/solucion-a-coleccion/index.html
index ed1d138..94aae07 100644
--- a/posts/solucion-a-coleccion/index.html
+++ b/posts/solucion-a-coleccion/index.html
@@ -5,6 +5,10 @@
 _Estructura de la solución: _¿Qué nos están pidiendo? El problema nos esta pidiendo que encontremos un subconjunto de las tarjetas tal que la suma de todos los puntajes de las tarjetas de ese subconjunto sea la maxima posible, y la suma de sus precios sea menor o igual al dinero con el que cuentas. En otras palabras lo que se esta buscando es que:"><meta itemprop=datePublished content="2013-09-14T05:16:07+00:00"><meta itemprop=dateModified content="2013-09-14T05:16:07+00:00"><meta itemprop=wordCount content="1380"><meta itemprop=keywords content="Solution,Alexis,César,Etapa 1,Examen 5,Preselectivo,Solución,Soluciones Preselectivo 2014"><meta name=twitter:card content="summary"><meta name=twitter:title content='Solución a "Colección"'><meta name=twitter:description content="Concurso: Preselectivo para la IOI 2014, Etapa 1, Problemset 5 Autor: Alexis Cervantes / César Cepeda Fuente: Alexis Cervantes / César Cepeda
 _Estructura de la solución: _¿Qué nos están pidiendo? El problema nos esta pidiendo que encontremos un subconjunto de las tarjetas tal que la suma de todos los puntajes de las tarjetas de ese subconjunto sea la maxima posible, y la suma de sus precios sea menor o igual al dinero con el que cuentas. En otras palabras lo que se esta buscando es que:"><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/solucion-a-comesolo/index.html b/posts/solucion-a-comesolo/index.html
index 8cb0837..a77f113 100644
--- a/posts/solucion-a-comesolo/index.html
+++ b/posts/solucion-a-comesolo/index.html
@@ -5,6 +5,10 @@
 Este problema es especial porque es el primero en omegaUp de solo salida! Usualmente lo que debes esperar cuando te enfrentes con uno de esos problemas es que sea un problema NP que no tiene una solución rápida, y usualmente te pedirán que te aproximes lo más posible a la solución óptima. Esto significa que te vas a tener que valer de técnicas ad-hoc y heurísticas para sacar puntos."><meta itemprop=datePublished content="2013-09-14T05:21:32+00:00"><meta itemprop=dateModified content="2013-09-14T05:21:32+00:00"><meta itemprop=wordCount content="941"><meta itemprop=keywords content="Solution,Etapa 1,Examen 5,Felix,Lhchavez,Preselectivo,Solución,Soluciones Preselectivo 2014"><meta name=twitter:card content="summary"><meta name=twitter:title content='Solución a "Comesolo"'><meta name=twitter:description content="Concurso: Preselectivo para la IOI 2014, Etapa 1, Problemset 8 Autor: lhchavez Fuente: Félix
 Este problema es especial porque es el primero en omegaUp de solo salida! Usualmente lo que debes esperar cuando te enfrentes con uno de esos problemas es que sea un problema NP que no tiene una solución rápida, y usualmente te pedirán que te aproximes lo más posible a la solución óptima. Esto significa que te vas a tener que valer de técnicas ad-hoc y heurísticas para sacar puntos."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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@@ -122,100 +126,100 @@
 hx-text-gray-500 hover:hx-bg-gray-100 hover:hx-text-gray-900 contrast-more:hx-border contrast-more:hx-border-transparent contrast-more:hx-text-gray-900 contrast-more:hover:hx-border-gray-900 dark:hx-text-neutral-400 dark:hover:hx-bg-primary-100/5 dark:hover:hx-text-gray-50 contrast-more:dark:hx-text-gray-50 contrast-more:dark:hover:hx-border-gray-50" href=/posts/engranes-khayyam-solucion-enrique-lira/>Solución a "Engranes"</a></li><li class="hx-flex hx-flex-col"><a class="hx-flex hx-items-center hx-justify-between hx-gap-2 hx-cursor-pointer hx-rounded hx-px-2 hx-py-1.5 hx-text-sm hx-transition-colors [-webkit-tap-highlight-color:transparent] [-webkit-touch-callout:none] [word-break:break-word]
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-</span></span><span style=display:flex><span>  <span style=color:#66d9ef>int</span> puntos <span style=color:#f92672>=</span> <span style=color:#ae81ff>0</span>
-</span></span><span style=display:flex><span>  <span style=color:#66d9ef>bool</span><span style=color:#960050;background-color:#1e0010>\</span>[N<span style=color:#960050;background-color:#1e0010>\</span>]<span style=color:#960050;background-color:#1e0010>\</span>[N<span style=color:#960050;background-color:#1e0010>\</span>] tablero
-</span></span><span style=display:flex><span>  Estado padre <span style=color:#f92672>=</span> null
-</span></span><span style=display:flex><span>
-</span></span><span style=display:flex><span>  def <span style=color:#960050;background-color:#1e0010>\</span>_<span style=color:#960050;background-color:#1e0010>\</span>_init<span style=color:#960050;background-color:#1e0010>\</span>_<span style=color:#960050;background-color:#1e0010>\</span>_(Estado p)<span style=color:#f92672>:</span>
-</span></span><span style=display:flex><span>    puntos <span style=color:#f92672>=</span> p.puntos
-</span></span><span style=display:flex><span>    tablero <span style=color:#f92672>=</span> p.tablero
-</span></span><span style=display:flex><span>    padre <span style=color:#f92672>=</span> p
-</span></span><span style=display:flex><span>
-</span></span><span style=display:flex><span>  def hash()<span style=color:#f92672>:</span>
-</span></span><span style=display:flex><span>    <span style=color:#75715e># Puedes usar cualquier algoritmo que genere un entero de 64 bits
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span>    <span style=color:#75715e># a partir de tablero y puntos. Este es el más sencillo.
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span>    hash <span style=color:#f92672>=</span> puntos
-</span></span><span style=display:flex><span>    <span style=color:#66d9ef>for</span> i in range(<span style=color:#ae81ff>0</span>, N)<span style=color:#f92672>:</span>
-</span></span><span style=display:flex><span>      hash <span style=color:#f92672>=</span> ((hash <span style=color:#f92672>&lt;&lt;</span> <span style=color:#ae81ff>7</span>) <span style=color:#f92672>|</span> (hash <span style=color:#f92672>&gt;&gt;</span> <span style=color:#ae81ff>53</span>)) <span style=color:#f92672>^</span> tablero<span style=color:#960050;background-color:#1e0010>\</span>[i<span style=color:#960050;background-color:#1e0010>\</span>]
-</span></span><span style=display:flex><span>    <span style=color:#66d9ef>return</span> hash
-</span></span><span style=display:flex><span>
-</span></span><span style=display:flex><span>  def siguientes(queue<span style=color:#960050;background-color:#1e0010>\</span>[<span style=color:#ae81ff>300</span><span style=color:#960050;background-color:#1e0010>\</span>] colas)<span style=color:#f92672>:</span>
-</span></span><span style=display:flex><span>    <span style=color:#75715e># Para todas las celdas (i, j) del tablero...
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span>    <span style=color:#66d9ef>for</span> i in range(<span style=color:#ae81ff>0</span>, N)<span style=color:#f92672>:</span>
-</span></span><span style=display:flex><span>        <span style=color:#66d9ef>for</span> j in range(<span style=color:#ae81ff>0</span>, N)<span style=color:#f92672>:</span>
-</span></span><span style=display:flex><span>          <span style=color:#75715e># Si la celda tiene una pieza...
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span>          <span style=color:#66d9ef>if</span> tablero<span style=color:#960050;background-color:#1e0010>\</span>[i<span style=color:#960050;background-color:#1e0010>\</span>]<span style=color:#960050;background-color:#1e0010>\</span>[j<span style=color:#960050;background-color:#1e0010>\</span>]<span style=color:#f92672>:</span>
-</span></span><span style=display:flex><span>            <span style=color:#75715e># Para todos los vecinos contiguos (i+k, j+l)...
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span>            <span style=color:#66d9ef>for</span> k in range(<span style=color:#f92672>-</span><span style=color:#ae81ff>1</span>, <span style=color:#ae81ff>2</span>)<span style=color:#f92672>:</span>
-</span></span><span style=display:flex><span>              <span style=color:#66d9ef>for</span> l in range(<span style=color:#f92672>-</span><span style=color:#ae81ff>1</span>, <span style=color:#ae81ff>2</span>)<span style=color:#f92672>:</span>
-</span></span><span style=display:flex><span>                <span style=color:#75715e># Asegúrate que se haya movido \_algo\_.
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span>                <span style=color:#66d9ef>if</span> k <span style=color:#f92672>==</span> <span style=color:#ae81ff>0</span> <span style=color:#f92672>&amp;&amp;</span> l <span style=color:#f92672>==</span> <span style=color:#ae81ff>0</span><span style=color:#f92672>:</span> <span style=color:#66d9ef>continue</span>
-</span></span><span style=display:flex><span>                <span style=color:#75715e># Y que pueda brincar dentro del tablero.
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span>                <span style=color:#66d9ef>if</span> j <span style=color:#f92672>+</span> <span style=color:#ae81ff>2</span> <span style=color:#960050;background-color:#1e0010>\</span><span style=color:#f92672>*</span> l <span style=color:#f92672>&lt;</span> <span style=color:#ae81ff>0</span> or j <span style=color:#f92672>+</span> <span style=color:#ae81ff>2</span> <span style=color:#960050;background-color:#1e0010>\</span><span style=color:#f92672>*</span> l <span style=color:#f92672>&gt;=</span> N: <span style=color:#66d9ef>continue</span>
-</span></span><span style=display:flex><span>                <span style=color:#75715e># Y que haya brincado una pieza.
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span>                <span style=color:#66d9ef>if</span> not tablero<span style=color:#960050;background-color:#1e0010>\</span>[i <span style=color:#f92672>+</span> k<span style=color:#960050;background-color:#1e0010>\</span>]<span style=color:#960050;background-color:#1e0010>\</span>[j <span style=color:#f92672>+</span> l<span style=color:#960050;background-color:#1e0010>\</span>]<span style=color:#f92672>:</span> <span style=color:#66d9ef>continue</span>
-</span></span><span style=display:flex><span>                <span style=color:#75715e># Y que el lugar a donde brinca esté desocupado.
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span>                <span style=color:#66d9ef>if</span> tablero<span style=color:#960050;background-color:#1e0010>\</span>[i <span style=color:#f92672>+</span> <span style=color:#ae81ff>2</span> <span style=color:#960050;background-color:#1e0010>\</span><span style=color:#f92672>*</span> k<span style=color:#960050;background-color:#1e0010>\</span>]<span style=color:#960050;background-color:#1e0010>\</span>[j <span style=color:#f92672>+</span> <span style=color:#ae81ff>2</span> <span style=color:#960050;background-color:#1e0010>\</span><span style=color:#f92672>*</span> l<span style=color:#960050;background-color:#1e0010>\</span>]<span style=color:#f92672>:</span> <span style=color:#66d9ef>continue</span>
-</span></span><span style=display:flex><span>                
-</span></span><span style=display:flex><span>                hijo <span style=color:#f92672>=</span> <span style=color:#66d9ef>new</span> Estado(<span style=color:#66d9ef>this</span>)
-</span></span><span style=display:flex><span>                <span style=color:#75715e># Aumenta la puntuación del hijo
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span>                hijo.puntos<span style=color:#f92672>++</span>
-</span></span><span style=display:flex><span>                <span style=color:#75715e># Borra la ficha original y la &#34;comida&#34;.
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span>                hijo.tablero<span style=color:#960050;background-color:#1e0010>\</span>[i<span style=color:#960050;background-color:#1e0010>\</span>]<span style=color:#960050;background-color:#1e0010>\</span>[j<span style=color:#960050;background-color:#1e0010>\</span>] <span style=color:#f92672>=</span> hijo.tablero<span style=color:#960050;background-color:#1e0010>\</span>[i <span style=color:#f92672>+</span> k<span style=color:#960050;background-color:#1e0010>\</span>]<span style=color:#960050;background-color:#1e0010>\</span>[j <span style=color:#f92672>+</span> l<span style=color:#960050;background-color:#1e0010>\</span>] <span style=color:#f92672>=</span> <span style=color:#960050;background-color:#1e0010>\</span>\
-</span></span><span style=display:flex><span>                  False
-</span></span><span style=display:flex><span>                <span style=color:#75715e># Agrega la ficha en su posición final.
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span>                hijo.tablero<span style=color:#960050;background-color:#1e0010>\</span>[i <span style=color:#f92672>+</span> <span style=color:#ae81ff>2</span> <span style=color:#960050;background-color:#1e0010>\</span><span style=color:#f92672>*</span> k<span style=color:#960050;background-color:#1e0010>\</span>]<span style=color:#960050;background-color:#1e0010>\</span>[j <span style=color:#f92672>+</span> <span style=color:#ae81ff>2</span> <span style=color:#960050;background-color:#1e0010>\</span><span style=color:#f92672>*</span> l<span style=color:#960050;background-color:#1e0010>\</span>] <span style=color:#f92672>=</span> True
-</span></span><span style=display:flex><span>                <span style=color:#75715e># Agrégala a la cola correspondiente.
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span>                colas<span style=color:#960050;background-color:#1e0010>\</span>[hijo.puntos<span style=color:#960050;background-color:#1e0010>\</span>].push(hijo)
-</span></span><span style=display:flex><span>
-</span></span><span style=display:flex><span>def elige<span style=color:#960050;background-color:#1e0010>\</span>_estado()<span style=color:#f92672>:</span>
-</span></span><span style=display:flex><span>  <span style=color:#75715e># Número aleatorio entre 0 y 1.
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span>  r <span style=color:#f92672>=</span> (random() <span style=color:#f92672>/</span> (<span style=color:#66d9ef>float</span>)RAND<span style=color:#960050;background-color:#1e0010>\</span>_MAX)
-</span></span><span style=display:flex><span>  <span style=color:#75715e># El índice de la última cola que estuvo llena.
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span>  ultimolleno <span style=color:#f92672>=</span> <span style=color:#f92672>-</span><span style=color:#ae81ff>1</span>
-</span></span><span style=display:flex><span>  <span style=color:#75715e># La cola que se está considerando.
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span>  x <span style=color:#f92672>=</span> <span style=color:#ae81ff>0</span>
-</span></span><span style=display:flex><span>  <span style=color:#75715e># Elige la cola con mayores puntos que no esté vacía como
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span>  <span style=color:#75715e># primera opción.
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span>  <span style=color:#66d9ef>for</span> i in range(<span style=color:#ae81ff>0</span>, N)<span style=color:#f92672>:</span>
-</span></span><span style=display:flex><span>    <span style=color:#66d9ef>if</span> not colas<span style=color:#960050;background-color:#1e0010>\</span>[i<span style=color:#960050;background-color:#1e0010>\</span>].vacio()<span style=color:#f92672>:</span>
-</span></span><span style=display:flex><span>      x <span style=color:#f92672>=</span> i
-</span></span><span style=display:flex><span>  <span style=color:#75715e># La primer cola tiene probabilidad de 31% de ser elegida.
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span>  <span style=color:#75715e># La segunda cola tiene probabilidad de 21%, la tercera 14%,
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span>  <span style=color:#75715e># la cuarta 10% y así sucesivamente.
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span>  <span style=color:#66d9ef>while</span> x <span style=color:#f92672>&gt;=</span> <span style=color:#ae81ff>0</span><span style=color:#f92672>:</span>
-</span></span><span style=display:flex><span>    <span style=color:#66d9ef>if</span> not colas<span style=color:#960050;background-color:#1e0010>\</span>[x<span style=color:#960050;background-color:#1e0010>\</span>].vacio()<span style=color:#f92672>:</span>
-</span></span><span style=display:flex><span>      ultimolleno <span style=color:#f92672>=</span> x
-</span></span><span style=display:flex><span>    x<span style=color:#f92672>--</span>
-</span></span><span style=display:flex><span>    r <span style=color:#960050;background-color:#1e0010>\</span><span style=color:#f92672>*=</span> <span style=color:#ae81ff>1.45</span>
-</span></span><span style=display:flex><span>    <span style=color:#66d9ef>if</span> r <span style=color:#f92672>&gt;=</span> <span style=color:#ae81ff>1</span> and ultimolleno <span style=color:#f92672>!=</span> <span style=color:#f92672>-</span><span style=color:#ae81ff>1</span> <span style=color:#66d9ef>break</span>
-</span></span><span style=display:flex><span>  <span style=color:#66d9ef>if</span> ultimolleno <span style=color:#f92672>==</span> <span style=color:#f92672>-</span><span style=color:#ae81ff>1</span><span style=color:#f92672>:</span> <span style=color:#66d9ef>return</span> Null
-</span></span><span style=display:flex><span>  <span style=color:#66d9ef>return</span> colas<span style=color:#960050;background-color:#1e0010>\</span>[lastfull<span style=color:#960050;background-color:#1e0010>\</span>].pop()
-</span></span><span style=display:flex><span>
-</span></span><span style=display:flex><span>queue<span style=color:#960050;background-color:#1e0010>\</span>[<span style=color:#ae81ff>300</span><span style=color:#960050;background-color:#1e0010>\</span>] colas
-</span></span><span style=display:flex><span>hashtable estados<span style=color:#960050;background-color:#1e0010>\</span>_visitados
-</span></span><span style=display:flex><span>
-</span></span><span style=display:flex><span><span style=color:#960050;background-color:#1e0010>\#</span> lee el estado original
-</span></span><span style=display:flex><span>colas<span style=color:#960050;background-color:#1e0010>\</span>[<span style=color:#ae81ff>0</span><span style=color:#960050;background-color:#1e0010>\</span>].push(estado<span style=color:#960050;background-color:#1e0010>\</span>_original)
-</span></span><span style=display:flex><span>Estado mejor <span style=color:#f92672>=</span> estado<span style=color:#960050;background-color:#1e0010>\</span>_original
-</span></span><span style=display:flex><span>
-</span></span><span style=display:flex><span><span style=color:#66d9ef>while</span> no<span style=color:#960050;background-color:#1e0010>\</span>_se<span style=color:#960050;background-color:#1e0010>\</span>_haya<span style=color:#960050;background-color:#1e0010>\</span>_terminado<span style=color:#960050;background-color:#1e0010>\</span>_la<span style=color:#960050;background-color:#1e0010>\</span>_memoria()<span style=color:#f92672>:</span>
-</span></span><span style=display:flex><span>  Estado s <span style=color:#f92672>=</span> elige<span style=color:#960050;background-color:#1e0010>\</span>_estado()
-</span></span><span style=display:flex><span>  <span style=color:#75715e># Si ya no hay más estados por visitar,
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span>  <span style=color:#75715e># encontramos la respuesta óptima en algún punto.
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span>  <span style=color:#66d9ef>if</span> s <span style=color:#f92672>==</span> Null: <span style=color:#66d9ef>break</span>
-</span></span><span style=display:flex><span>  <span style=color:#75715e># Actualiza |mejor| si hay una respuesta mejor.
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span>  <span style=color:#66d9ef>if</span> mejor.puntos <span style=color:#f92672>&lt;</span> s.puntos: mejor <span style=color:#f92672>=</span> s
-</span></span><span style=display:flex><span>  <span style=color:#75715e># Repetir estados es malo.
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span>  <span style=color:#66d9ef>if</span> s.hash() in estados<span style=color:#960050;background-color:#1e0010>\</span>_visitados: <span style=color:#66d9ef>continue</span>
-</span></span><span style=display:flex><span>  estados<span style=color:#960050;background-color:#1e0010>\</span>_visitados.add(s.hash())
-</span></span><span style=display:flex><span>  <span style=color:#75715e># Agrega todos los vecinos.
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span>  s.siguiente(colas)
-</span></span><span style=display:flex><span>
-</span></span><span style=display:flex><span><span style=color:#960050;background-color:#1e0010>\#</span> A partir de este punto, <span style=color:#f92672>|</span>mejor<span style=color:#f92672>|</span> contiene la mejor solución. Podemos
-</span></span><span style=display:flex><span><span style=color:#75715e># saber qué movimiento se hizo para llegar a él comparando las
-</span></span></span><span style=display:flex><span><span style=color:#75715e># diferencias entre el tablero de |mejor.padre| y |mejor|. Ya solo es
-</span></span></span><span style=display:flex><span><span style=color:#75715e># cuestión de imprimir el resultado y listo.
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span><span style=color:#960050;background-color:#1e0010>\</span><span style=color:#f92672>*</span> Aquí mucha gente se va a quejar porque solo guardar el hash abre la puerta a que haya dos estados que puede tener hasta <span style=color:#ae81ff>900</span> bits que tengan el mismo hash de <span style=color:#ae81ff>64</span> bits (por el [principio del palomar](http:<span style=color:#75715e>//es.wikipedia.org/wiki/Principio_del_palomar)) y esté considerando que ya se visitó un estado que en realidad es nuevo. Si haces las cuentas, la probabilidad de colisión es negligible: la cantidad de estados que podía visitar en mi computadora (27 millones) es significativamente más pequeña que el número de estados necesarios para que la probabilidad de colisión sea de 1% ($latex \\approx 10^{135}$, por la [paradoja del cumpleaños](http://es.wikipedia.org/wiki/Paradoja_del_cumplea%C3%B1os)).
+<span>Ir al inicio</span><svg fill="none" viewBox="0 0 24 24" stroke-width="1.5" stroke="currentcolor" class="hx-inline ltr:hx-ml-1 rtl:hx-mr-1 hx-h-3.5 hx-w-3.5 hx-border hx-rounded-full hx-border-gray-500 hover:hx-border-gray-900 dark:hx-border-gray-400 dark:hover:hx-border-gray-100 contrast-more:hx-border-gray-800 contrast-more:dark:hx-border-gray-50"><path stroke-linecap="round" stroke-linejoin="round" d="M4.5 15.75l7.5-7.5 7.5 7.5"/></svg></button></div></div></nav><article class="hx-w-full hx-break-words hx-flex hx-min-h-[calc(100vh-var(--navbar-height))] hx-min-w-0 hx-justify-center hx-pb-8 hx-pr-[calc(env(safe-area-inset-right)-1.5rem)]"><main class="hx-w-full hx-min-w-0 hx-max-w-6xl hx-px-6 hx-pt-4 md:hx-px-12"><br class="hx-mt-1.5 hx-text-sm"><h1 class="hx-text-center hx-mt-2 hx-text-4xl hx-font-bold hx-tracking-tight hx-text-slate-900 dark:hx-text-slate-100">Solución a "Comesolo"</h1><div class=hx-mb-16></div><div class=content><p><strong>Concurso:</strong> <a href=https://omegaup.com/arena/problem/comesolo target=_blank rel=noopener>Preselectivo para la IOI 2014, Etapa 1, Problemset 8</a> <strong>Autor:</strong> <a href=http://lhchavez.com target=_blank rel=noopener>lhchavez</a> <strong>Fuente</strong>: Félix</p><p>Este problema es especial porque es el primero en omegaUp de solo salida! Usualmente lo que debes esperar cuando te enfrentes con uno de esos problemas es que sea un problema NP que no tiene una solución rápida, y usualmente te pedirán que te aproximes lo más posible a la solución óptima. Esto significa que te vas a tener que valer de técnicas ad-hoc y heurísticas para sacar puntos.</p><p>La solución del problema es bastante sencilla de explicar: haz una búsqueda en profundidad intentando todos los posibles movimientos por fuerza bruta hasta que te salga una solución aceptable e imprímela. El problema es que esta estrategia es $latex O(n!)$, y como $latex n$ puede valer hasta 30x30, puedes esperar que el programa corra varios milenios antes de encontrar la solución óptima. Hay tres trucos (en orden de importancia) para obtener una solución decente en un tiempo razonable:</p><ul><li>No repetir estados.</li><li>No &ldquo;clavarse&rdquo; con soluciones que parece que son muy buenas, pero en realidad llevan a callejones sin salida.</li><li>Encontrar una manera de darle prioridad a los estados que tengan más probabilidad de llegar a una solución buena.</li></ul><p>La estrategia que yo personalmente seguí fue que cada que encontraba un nuevo estado, obtenía su <a href=http://es.wikipedia.org/wiki/Funci%C3%B3n_hash target=_blank rel=noopener>hash</a> (que resultaba en un entero de 64 bits) y verificaba si no lo había visitado usando una tabla de hash<a href=#note>*</a>. Si no la había visitado, encontraba todos los estados vecinos (todos los tableros que resultaban de hacer un movimiento válido) y los guardaba en una fila de acuerdo a la cantidad de puntos (entre más puntos, más adelante en la fila). Luego, elegía aleatoriamente un estado de la fila dándole prioridad a los que estaban más adelante (pues son los que tienen mayor probabilidad de llegar a una buena solución), lo cual también me evitaba seguir un único camino donde me podría atorar. Repetí eso hasta que se me terminó la memoria de la computadora e imprimí la mejor solución.</p><p>A continuación, el pseudocódigo de la solución:</p><div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code"><div><div class=highlight><pre tabindex=0 class=chroma><code class=language-cpp data-lang=cpp><span class=line><span class=cl><span class=k>class</span> <span class=nc>Estado</span><span class=o>:</span>
+</span></span><span class=line><span class=cl>  <span class=kt>int</span> <span class=n>puntos</span> <span class=o>=</span> <span class=mi>0</span>
+</span></span><span class=line><span class=cl>  <span class=kt>bool</span><span class=err>\</span><span class=p>[</span><span class=n>N</span><span class=err>\</span><span class=p>]</span><span class=err>\</span><span class=p>[</span><span class=n>N</span><span class=err>\</span><span class=p>]</span> <span class=n>tablero</span>
+</span></span><span class=line><span class=cl>  <span class=n>Estado</span> <span class=n>padre</span> <span class=o>=</span> <span class=n>null</span>
+</span></span><span class=line><span class=cl>
+</span></span><span class=line><span class=cl>  <span class=n>def</span> <span class=err>\</span><span class=n>_</span><span class=err>\</span><span class=n>_init</span><span class=err>\</span><span class=n>_</span><span class=err>\</span><span class=n>_</span><span class=p>(</span><span class=n>Estado</span> <span class=n>p</span><span class=p>)</span><span class=o>:</span>
+</span></span><span class=line><span class=cl>    <span class=n>puntos</span> <span class=o>=</span> <span class=n>p</span><span class=p>.</span><span class=n>puntos</span>
+</span></span><span class=line><span class=cl>    <span class=n>tablero</span> <span class=o>=</span> <span class=n>p</span><span class=p>.</span><span class=n>tablero</span>
+</span></span><span class=line><span class=cl>    <span class=n>padre</span> <span class=o>=</span> <span class=n>p</span>
+</span></span><span class=line><span class=cl>
+</span></span><span class=line><span class=cl>  <span class=n>def</span> <span class=n>hash</span><span class=p>()</span><span class=o>:</span>
+</span></span><span class=line><span class=cl>    <span class=cp># Puedes usar cualquier algoritmo que genere un entero de 64 bits
+</span></span></span><span class=line><span class=cl><span class=cp></span>    <span class=cp># a partir de tablero y puntos. Este es el más sencillo.
+</span></span></span><span class=line><span class=cl><span class=cp></span>    <span class=n>hash</span> <span class=o>=</span> <span class=n>puntos</span>
+</span></span><span class=line><span class=cl>    <span class=k>for</span> <span class=n>i</span> <span class=n>in</span> <span class=n>range</span><span class=p>(</span><span class=mi>0</span><span class=p>,</span> <span class=n>N</span><span class=p>)</span><span class=o>:</span>
+</span></span><span class=line><span class=cl>      <span class=n>hash</span> <span class=o>=</span> <span class=p>((</span><span class=n>hash</span> <span class=o>&lt;&lt;</span> <span class=mi>7</span><span class=p>)</span> <span class=o>|</span> <span class=p>(</span><span class=n>hash</span> <span class=o>&gt;&gt;</span> <span class=mi>53</span><span class=p>))</span> <span class=o>^</span> <span class=n>tablero</span><span class=err>\</span><span class=p>[</span><span class=n>i</span><span class=err>\</span><span class=p>]</span>
+</span></span><span class=line><span class=cl>    <span class=k>return</span> <span class=n>hash</span>
+</span></span><span class=line><span class=cl>
+</span></span><span class=line><span class=cl>  <span class=n>def</span> <span class=n>siguientes</span><span class=p>(</span><span class=n>queue</span><span class=err>\</span><span class=p>[</span><span class=mi>300</span><span class=err>\</span><span class=p>]</span> <span class=n>colas</span><span class=p>)</span><span class=o>:</span>
+</span></span><span class=line><span class=cl>    <span class=cp># Para todas las celdas (i, j) del tablero...
+</span></span></span><span class=line><span class=cl><span class=cp></span>    <span class=k>for</span> <span class=n>i</span> <span class=n>in</span> <span class=n>range</span><span class=p>(</span><span class=mi>0</span><span class=p>,</span> <span class=n>N</span><span class=p>)</span><span class=o>:</span>
+</span></span><span class=line><span class=cl>        <span class=k>for</span> <span class=n>j</span> <span class=n>in</span> <span class=n>range</span><span class=p>(</span><span class=mi>0</span><span class=p>,</span> <span class=n>N</span><span class=p>)</span><span class=o>:</span>
+</span></span><span class=line><span class=cl>          <span class=cp># Si la celda tiene una pieza...
+</span></span></span><span class=line><span class=cl><span class=cp></span>          <span class=k>if</span> <span class=n>tablero</span><span class=err>\</span><span class=p>[</span><span class=n>i</span><span class=err>\</span><span class=p>]</span><span class=err>\</span><span class=p>[</span><span class=n>j</span><span class=err>\</span><span class=p>]</span><span class=o>:</span>
+</span></span><span class=line><span class=cl>            <span class=cp># Para todos los vecinos contiguos (i+k, j+l)...
+</span></span></span><span class=line><span class=cl><span class=cp></span>            <span class=k>for</span> <span class=n>k</span> <span class=n>in</span> <span class=n>range</span><span class=p>(</span><span class=o>-</span><span class=mi>1</span><span class=p>,</span> <span class=mi>2</span><span class=p>)</span><span class=o>:</span>
+</span></span><span class=line><span class=cl>              <span class=k>for</span> <span class=n>l</span> <span class=n>in</span> <span class=n>range</span><span class=p>(</span><span class=o>-</span><span class=mi>1</span><span class=p>,</span> <span class=mi>2</span><span class=p>)</span><span class=o>:</span>
+</span></span><span class=line><span class=cl>                <span class=cp># Asegúrate que se haya movido \_algo\_.
+</span></span></span><span class=line><span class=cl><span class=cp></span>                <span class=k>if</span> <span class=n>k</span> <span class=o>==</span> <span class=mi>0</span> <span class=o>&amp;&amp;</span> <span class=n>l</span> <span class=o>==</span> <span class=mi>0</span><span class=o>:</span> <span class=k>continue</span>
+</span></span><span class=line><span class=cl>                <span class=cp># Y que pueda brincar dentro del tablero.
+</span></span></span><span class=line><span class=cl><span class=cp></span>                <span class=k>if</span> <span class=n>j</span> <span class=o>+</span> <span class=mi>2</span> <span class=err>\</span><span class=o>*</span> <span class=n>l</span> <span class=o>&lt;</span> <span class=mi>0</span> <span class=n>or</span> <span class=n>j</span> <span class=o>+</span> <span class=mi>2</span> <span class=err>\</span><span class=o>*</span> <span class=n>l</span> <span class=o>&gt;=</span> <span class=nl>N</span><span class=p>:</span> <span class=k>continue</span>
+</span></span><span class=line><span class=cl>                <span class=cp># Y que haya brincado una pieza.
+</span></span></span><span class=line><span class=cl><span class=cp></span>                <span class=k>if</span> <span class=n>not</span> <span class=n>tablero</span><span class=err>\</span><span class=p>[</span><span class=n>i</span> <span class=o>+</span> <span class=n>k</span><span class=err>\</span><span class=p>]</span><span class=err>\</span><span class=p>[</span><span class=n>j</span> <span class=o>+</span> <span class=n>l</span><span class=err>\</span><span class=p>]</span><span class=o>:</span> <span class=k>continue</span>
+</span></span><span class=line><span class=cl>                <span class=cp># Y que el lugar a donde brinca esté desocupado.
+</span></span></span><span class=line><span class=cl><span class=cp></span>                <span class=k>if</span> <span class=n>tablero</span><span class=err>\</span><span class=p>[</span><span class=n>i</span> <span class=o>+</span> <span class=mi>2</span> <span class=err>\</span><span class=o>*</span> <span class=n>k</span><span class=err>\</span><span class=p>]</span><span class=err>\</span><span class=p>[</span><span class=n>j</span> <span class=o>+</span> <span class=mi>2</span> <span class=err>\</span><span class=o>*</span> <span class=n>l</span><span class=err>\</span><span class=p>]</span><span class=o>:</span> <span class=k>continue</span>
+</span></span><span class=line><span class=cl>                
+</span></span><span class=line><span class=cl>                <span class=n>hijo</span> <span class=o>=</span> <span class=k>new</span> <span class=n>Estado</span><span class=p>(</span><span class=k>this</span><span class=p>)</span>
+</span></span><span class=line><span class=cl>                <span class=cp># Aumenta la puntuación del hijo
+</span></span></span><span class=line><span class=cl><span class=cp></span>                <span class=n>hijo</span><span class=p>.</span><span class=n>puntos</span><span class=o>++</span>
+</span></span><span class=line><span class=cl>                <span class=cp># Borra la ficha original y la &#34;comida&#34;.
+</span></span></span><span class=line><span class=cl><span class=cp></span>                <span class=n>hijo</span><span class=p>.</span><span class=n>tablero</span><span class=err>\</span><span class=p>[</span><span class=n>i</span><span class=err>\</span><span class=p>]</span><span class=err>\</span><span class=p>[</span><span class=n>j</span><span class=err>\</span><span class=p>]</span> <span class=o>=</span> <span class=n>hijo</span><span class=p>.</span><span class=n>tablero</span><span class=err>\</span><span class=p>[</span><span class=n>i</span> <span class=o>+</span> <span class=n>k</span><span class=err>\</span><span class=p>]</span><span class=err>\</span><span class=p>[</span><span class=n>j</span> <span class=o>+</span> <span class=n>l</span><span class=err>\</span><span class=p>]</span> <span class=o>=</span> <span class=err>\</span>\
+</span></span><span class=line><span class=cl>                  <span class=n>False</span>
+</span></span><span class=line><span class=cl>                <span class=cp># Agrega la ficha en su posición final.
+</span></span></span><span class=line><span class=cl><span class=cp></span>                <span class=n>hijo</span><span class=p>.</span><span class=n>tablero</span><span class=err>\</span><span class=p>[</span><span class=n>i</span> <span class=o>+</span> <span class=mi>2</span> <span class=err>\</span><span class=o>*</span> <span class=n>k</span><span class=err>\</span><span class=p>]</span><span class=err>\</span><span class=p>[</span><span class=n>j</span> <span class=o>+</span> <span class=mi>2</span> <span class=err>\</span><span class=o>*</span> <span class=n>l</span><span class=err>\</span><span class=p>]</span> <span class=o>=</span> <span class=n>True</span>
+</span></span><span class=line><span class=cl>                <span class=cp># Agrégala a la cola correspondiente.
+</span></span></span><span class=line><span class=cl><span class=cp></span>                <span class=n>colas</span><span class=err>\</span><span class=p>[</span><span class=n>hijo</span><span class=p>.</span><span class=n>puntos</span><span class=err>\</span><span class=p>].</span><span class=n>push</span><span class=p>(</span><span class=n>hijo</span><span class=p>)</span>
+</span></span><span class=line><span class=cl>
+</span></span><span class=line><span class=cl><span class=n>def</span> <span class=n>elige</span><span class=err>\</span><span class=n>_estado</span><span class=p>()</span><span class=o>:</span>
+</span></span><span class=line><span class=cl>  <span class=cp># Número aleatorio entre 0 y 1.
+</span></span></span><span class=line><span class=cl><span class=cp></span>  <span class=n>r</span> <span class=o>=</span> <span class=p>(</span><span class=n>random</span><span class=p>()</span> <span class=o>/</span> <span class=p>(</span><span class=kt>float</span><span class=p>)</span><span class=n>RAND</span><span class=err>\</span><span class=n>_MAX</span><span class=p>)</span>
+</span></span><span class=line><span class=cl>  <span class=cp># El índice de la última cola que estuvo llena.
+</span></span></span><span class=line><span class=cl><span class=cp></span>  <span class=n>ultimolleno</span> <span class=o>=</span> <span class=o>-</span><span class=mi>1</span>
+</span></span><span class=line><span class=cl>  <span class=cp># La cola que se está considerando.
+</span></span></span><span class=line><span class=cl><span class=cp></span>  <span class=n>x</span> <span class=o>=</span> <span class=mi>0</span>
+</span></span><span class=line><span class=cl>  <span class=cp># Elige la cola con mayores puntos que no esté vacía como
+</span></span></span><span class=line><span class=cl><span class=cp></span>  <span class=cp># primera opción.
+</span></span></span><span class=line><span class=cl><span class=cp></span>  <span class=k>for</span> <span class=n>i</span> <span class=n>in</span> <span class=n>range</span><span class=p>(</span><span class=mi>0</span><span class=p>,</span> <span class=n>N</span><span class=p>)</span><span class=o>:</span>
+</span></span><span class=line><span class=cl>    <span class=k>if</span> <span class=n>not</span> <span class=n>colas</span><span class=err>\</span><span class=p>[</span><span class=n>i</span><span class=err>\</span><span class=p>].</span><span class=n>vacio</span><span class=p>()</span><span class=o>:</span>
+</span></span><span class=line><span class=cl>      <span class=n>x</span> <span class=o>=</span> <span class=n>i</span>
+</span></span><span class=line><span class=cl>  <span class=cp># La primer cola tiene probabilidad de 31% de ser elegida.
+</span></span></span><span class=line><span class=cl><span class=cp></span>  <span class=cp># La segunda cola tiene probabilidad de 21%, la tercera 14%,
+</span></span></span><span class=line><span class=cl><span class=cp></span>  <span class=cp># la cuarta 10% y así sucesivamente.
+</span></span></span><span class=line><span class=cl><span class=cp></span>  <span class=k>while</span> <span class=n>x</span> <span class=o>&gt;=</span> <span class=mi>0</span><span class=o>:</span>
+</span></span><span class=line><span class=cl>    <span class=k>if</span> <span class=n>not</span> <span class=n>colas</span><span class=err>\</span><span class=p>[</span><span class=n>x</span><span class=err>\</span><span class=p>].</span><span class=n>vacio</span><span class=p>()</span><span class=o>:</span>
+</span></span><span class=line><span class=cl>      <span class=n>ultimolleno</span> <span class=o>=</span> <span class=n>x</span>
+</span></span><span class=line><span class=cl>    <span class=n>x</span><span class=o>--</span>
+</span></span><span class=line><span class=cl>    <span class=n>r</span> <span class=err>\</span><span class=o>*=</span> <span class=mf>1.45</span>
+</span></span><span class=line><span class=cl>    <span class=k>if</span> <span class=n>r</span> <span class=o>&gt;=</span> <span class=mi>1</span> <span class=n>and</span> <span class=n>ultimolleno</span> <span class=o>!=</span> <span class=o>-</span><span class=mi>1</span> <span class=k>break</span>
+</span></span><span class=line><span class=cl>  <span class=k>if</span> <span class=n>ultimolleno</span> <span class=o>==</span> <span class=o>-</span><span class=mi>1</span><span class=o>:</span> <span class=k>return</span> <span class=n>Null</span>
+</span></span><span class=line><span class=cl>  <span class=k>return</span> <span class=n>colas</span><span class=err>\</span><span class=p>[</span><span class=n>lastfull</span><span class=err>\</span><span class=p>].</span><span class=n>pop</span><span class=p>()</span>
+</span></span><span class=line><span class=cl>
+</span></span><span class=line><span class=cl><span class=n>queue</span><span class=err>\</span><span class=p>[</span><span class=mi>300</span><span class=err>\</span><span class=p>]</span> <span class=n>colas</span>
+</span></span><span class=line><span class=cl><span class=n>hashtable</span> <span class=n>estados</span><span class=err>\</span><span class=n>_visitados</span>
+</span></span><span class=line><span class=cl>
+</span></span><span class=line><span class=cl><span class=err>\#</span> <span class=n>lee</span> <span class=n>el</span> <span class=n>estado</span> <span class=n>original</span>
+</span></span><span class=line><span class=cl><span class=n>colas</span><span class=err>\</span><span class=p>[</span><span class=mi>0</span><span class=err>\</span><span class=p>].</span><span class=n>push</span><span class=p>(</span><span class=n>estado</span><span class=err>\</span><span class=n>_original</span><span class=p>)</span>
+</span></span><span class=line><span class=cl><span class=n>Estado</span> <span class=n>mejor</span> <span class=o>=</span> <span class=n>estado</span><span class=err>\</span><span class=n>_original</span>
+</span></span><span class=line><span class=cl>
+</span></span><span class=line><span class=cl><span class=k>while</span> <span class=n>no</span><span class=err>\</span><span class=n>_se</span><span class=err>\</span><span class=n>_haya</span><span class=err>\</span><span class=n>_terminado</span><span class=err>\</span><span class=n>_la</span><span class=err>\</span><span class=n>_memoria</span><span class=p>()</span><span class=o>:</span>
+</span></span><span class=line><span class=cl>  <span class=n>Estado</span> <span class=n>s</span> <span class=o>=</span> <span class=n>elige</span><span class=err>\</span><span class=n>_estado</span><span class=p>()</span>
+</span></span><span class=line><span class=cl>  <span class=cp># Si ya no hay más estados por visitar,
+</span></span></span><span class=line><span class=cl><span class=cp></span>  <span class=cp># encontramos la respuesta óptima en algún punto.
+</span></span></span><span class=line><span class=cl><span class=cp></span>  <span class=k>if</span> <span class=n>s</span> <span class=o>==</span> <span class=nl>Null</span><span class=p>:</span> <span class=k>break</span>
+</span></span><span class=line><span class=cl>  <span class=cp># Actualiza |mejor| si hay una respuesta mejor.
+</span></span></span><span class=line><span class=cl><span class=cp></span>  <span class=k>if</span> <span class=n>mejor</span><span class=p>.</span><span class=n>puntos</span> <span class=o>&lt;</span> <span class=n>s</span><span class=p>.</span><span class=nl>puntos</span><span class=p>:</span> <span class=n>mejor</span> <span class=o>=</span> <span class=n>s</span>
+</span></span><span class=line><span class=cl>  <span class=cp># Repetir estados es malo.
+</span></span></span><span class=line><span class=cl><span class=cp></span>  <span class=k>if</span> <span class=n>s</span><span class=p>.</span><span class=n>hash</span><span class=p>()</span> <span class=n>in</span> <span class=n>estados</span><span class=err>\</span><span class=nl>_visitados</span><span class=p>:</span> <span class=k>continue</span>
+</span></span><span class=line><span class=cl>  <span class=n>estados</span><span class=err>\</span><span class=n>_visitados</span><span class=p>.</span><span class=n>add</span><span class=p>(</span><span class=n>s</span><span class=p>.</span><span class=n>hash</span><span class=p>())</span>
+</span></span><span class=line><span class=cl>  <span class=cp># Agrega todos los vecinos.
+</span></span></span><span class=line><span class=cl><span class=cp></span>  <span class=n>s</span><span class=p>.</span><span class=n>siguiente</span><span class=p>(</span><span class=n>colas</span><span class=p>)</span>
+</span></span><span class=line><span class=cl>
+</span></span><span class=line><span class=cl><span class=err>\#</span> <span class=n>A</span> <span class=n>partir</span> <span class=n>de</span> <span class=n>este</span> <span class=n>punto</span><span class=p>,</span> <span class=o>|</span><span class=n>mejor</span><span class=o>|</span> <span class=n>contiene</span> <span class=n>la</span> <span class=n>mejor</span> <span class=n>solución</span><span class=p>.</span> <span class=n>Podemos</span>
+</span></span><span class=line><span class=cl><span class=cp># saber qué movimiento se hizo para llegar a él comparando las
+</span></span></span><span class=line><span class=cl><span class=cp># diferencias entre el tablero de |mejor.padre| y |mejor|. Ya solo es
+</span></span></span><span class=line><span class=cl><span class=cp># cuestión de imprimir el resultado y listo.
+</span></span></span><span class=line><span class=cl><span class=cp></span><span class=err>\</span><span class=o>*</span> <span class=n>Aquí</span> <span class=n>mucha</span> <span class=n>gente</span> <span class=n>se</span> <span class=n>va</span> <span class=n>a</span> <span class=n>quejar</span> <span class=n>porque</span> <span class=n>solo</span> <span class=n>guardar</span> <span class=n>el</span> <span class=n>hash</span> <span class=n>abre</span> <span class=n>la</span> <span class=n>puerta</span> <span class=n>a</span> <span class=n>que</span> <span class=n>haya</span> <span class=n>dos</span> <span class=n>estados</span> <span class=n>que</span> <span class=n>puede</span> <span class=n>tener</span> <span class=n>hasta</span> <span class=mi>900</span> <span class=n>bits</span> <span class=n>que</span> <span class=n>tengan</span> <span class=n>el</span> <span class=n>mismo</span> <span class=n>hash</span> <span class=n>de</span> <span class=mi>64</span> <span class=n>bits</span> <span class=p>(</span><span class=n>por</span> <span class=n>el</span> <span class=p>[</span><span class=n>principio</span> <span class=n>del</span> <span class=n>palomar</span><span class=p>](</span><span class=nl>http</span><span class=p>:</span><span class=c1>//es.wikipedia.org/wiki/Principio_del_palomar)) y esté considerando que ya se visitó un estado que en realidad es nuevo. Si haces las cuentas, la probabilidad de colisión es negligible: la cantidad de estados que podía visitar en mi computadora (27 millones) es significativamente más pequeña que el número de estados necesarios para que la probabilidad de colisión sea de 1% ($latex \\approx 10^{135}$, por la [paradoja del cumpleaños](http://es.wikipedia.org/wiki/Paradoja_del_cumplea%C3%B1os)).
 </span></span></span></code></pre></div></div><div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0"><button class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50" title="Copiar código"><div class="copy-icon group-[.copied]/copybtn:hx-hidden hx-pointer-events-none hx-h-4 hx-w-4"></div><div class="success-icon hx-hidden group-[.copied]/copybtn:hx-block hx-pointer-events-none hx-h-4 hx-w-4"></div></button></div></div></div><div class=hx-mt-16></div></main></article></div><footer class="hextra-footer hx-bg-gray-100 hx-pb-[env(safe-area-inset-bottom)] dark:hx-bg-neutral-900 print:hx-bg-transparent"><div class="hx-mx-auto hx-flex hx-gap-2 hx-py-2 hx-px-4 hx-max-w-screen-xl"><button title="Cambiar tema" data-theme=light class="theme-toggle hx-group hx-h-7 hx-rounded-md hx-px-2 hx-text-left hx-text-xs hx-font-medium hx-text-gray-600 hx-transition-colors dark:hx-text-gray-400 hover:hx-bg-gray-100 hover:hx-text-gray-900 dark:hover:hx-bg-primary-100/5 dark:hover:hx-text-gray-50" type=button aria-label="Cambiar tema"><div class="hx-flex hx-items-center hx-gap-2 hx-capitalize"><svg height="12" class="group-data-[theme=light]:hx-hidden" fill="none" viewBox="0 0 24 24" stroke-width="2" stroke="currentcolor" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" d="M12 3v1m0 16v1m9-9h-1M4 12H3m15.364 6.364-.707-.707M6.343 6.343l-.707-.707m12.728.0-.707.707M6.343 17.657l-.707.707M16 12a4 4 0 11-8 0 4 4 0 018 0z"/></svg><span class="group-data-[theme=light]:hx-hidden">Modo claro</span><svg height="12" class="group-data-[theme=dark]:hx-hidden" fill="none" viewBox="0 0 24 24" stroke-width="2" stroke="currentcolor" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" d="M20.354 15.354A9 9 0 018.646 3.646 9.003 9.003.0 0012 21a9.003 9.003.0 008.354-5.646z"/></svg><span class="group-data-[theme=dark]:hx-hidden">Modo oscuro</span></div></button></div><hr class=dark:hx-border-neutral-800><div class="hx-max-w-screen-xl hx-mx-auto hx-flex hx-justify-center hx-py-12 hx-pl-[max(env(safe-area-inset-left),1.5rem)] hx-pr-[max(env(safe-area-inset-right),1.5rem)] hx-text-gray-600 dark:hx-text-gray-400 md:hx-justify-start"><div class="hx-flex hx-w-full hx-flex-col hx-items-center sm:hx-items-start"><div class="hx-mt-6 hx-text-xs">Derechos reservados omegaUp © 2024.</div></div></div></footer><script defer src=/js/main.min.d0f0346255ba9418db8fcf7f9440ca4e532e06276d8df17497e19e1045ee360b.js integrity="sha256-0PA0YlW6lBjbj89/lEDKTlMuBidtjfF0l+GeEEXuNgs="></script><script defer src=/lib/flexsearch/flexsearch.bundle.min.e45e7eb129aae9f684e7f863bb7c1d612ea124b7068e12af80c58c62764a5379.js integrity="sha256-5F5+sSmq6faE5/hju3wdYS6hJLcGjhKvgMWMYnZKU3k="></script><script defer src=/es.search.min.22b690999814062b6c1f520ab1382c4b2dee00893bf5dea1e0d0415986c85591.js integrity="sha256-IraQmZgUBitsH1IKsTgsSy3uAIk79d6h4NBBWYbIVZE="></script></body></html>
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diff --git a/posts/solucion-a-contrasena-binaria/index.html b/posts/solucion-a-contrasena-binaria/index.html
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--- a/posts/solucion-a-contrasena-binaria/index.html
+++ b/posts/solucion-a-contrasena-binaria/index.html
@@ -17,6 +17,10 @@
 img1 En ella aparecen de forma descendente a la izquierda los números pares comenzando desde el dos, y su representación binaria a la derecha. En la parte superior aparece el valor de cada cifra en decimal.
 Tomando en cuenta el límite del problema, sabemos que si sumamos $latex B(i)$ para cada par menor o igual a $latex N$, en el peor de los casos tendríamos que realizar 500,000,000,000,000 veces la función. Aún si lograramos calcularla en una operación nuestro programa excedería el tiempo límite."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/solucion-a-crucero/index.html b/posts/solucion-a-crucero/index.html
index e914dd4..6e7796b 100644
--- a/posts/solucion-a-crucero/index.html
+++ b/posts/solucion-a-crucero/index.html
@@ -16,6 +16,10 @@
 Como se puede notar, al trazar la ruta óptima del crucero se está desperdiciando mucho espacio, y daría lo mismo si expandiésemos la isla para que no se desperdiciara espacio entre la ruta y la orilla de ésta.
 image002 image004 Si supiéramos cual es la ruta óptima del crucero para expandir la isla bastaría con hacer un Flood Fill para rellenar los espacios con agua que quedan dentro de la ruta."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/solucion-a-cueva/index.html b/posts/solucion-a-cueva/index.html
index 608e2d7..9bed1aa 100644
--- a/posts/solucion-a-cueva/index.html
+++ b/posts/solucion-a-cueva/index.html
@@ -13,6 +13,10 @@
 Después de comprender el problema podemos deducir dos cosas:
 Los N puntos de la cueva modelan un árbol, esto debido a la propiedad de que existirán N-1 aristas y siempre hay un camino entre cualquier par de nodos. Podemos traducir la tarea principal del problema a lo siguiente “Para cada una de las Q preguntas, ¿el nodo A es un ancestro del nodo B?”, de modo que necesitamos encontrar una manera óptima de saberlo. Subtarea 1. Para obtener los primeros 25 puntos del problema solo necesitamos implementar el método de fuerza bruta que nos permita conocer si A es ancestro de B, esto puede conseguirse con una búsqueda en profundidad (DFS) que desde el nodo A encuentre la manera de llegar al nodo 1, restringiendo que no sea posible pasar por el nodo B, si existe un camino del nodo A al nodo raíz la respuesta es 1, en caso contrario la respuesta es 0. Hay que cuidar los casos especiales cuando el nodo B es el nodo raíz o cuando el nodo A es el mismo nodo B, en ambos casos la respuesta es 0."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/solucion-a-dp-generica/index.html b/posts/solucion-a-dp-generica/index.html
index 18603bf..9e1df06 100644
--- a/posts/solucion-a-dp-generica/index.html
+++ b/posts/solucion-a-dp-generica/index.html
@@ -14,6 +14,10 @@
 Análisis 1 Primero, una idea que hubiera obtenido 50 puntos.
 Podemos observar que el problema es equivalente a encontrar de cuántas maneras se le puede asignar un número $latex n_i$ del conjunto $latex \{0,1,2\}$ a cada potencia de 2 tal que $latex \sum_{i=0}^{\infty} n_i 2^i = x$. Esto también es equivalente a encontrar cuántos números $latex a$ y $latex b$ hay tales que $latex a + b = x$ y no haya ningún bit encendido en $latex b$ que no esté encendido en $latex a$."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/solucion-a-el-artista-lento/index.html b/posts/solucion-a-el-artista-lento/index.html
index 5f859b4..cf85faa 100644
--- a/posts/solucion-a-el-artista-lento/index.html
+++ b/posts/solucion-a-el-artista-lento/index.html
@@ -5,6 +5,10 @@
 Lo primero de lo que debemos darnos cuenta es de que como los pedazos son de dimensiones enteras y se colocan en dimensiones enteras, podemos “pensar” el problema de manera que en lugar de pegar rectángulos de Mi x Ni, estamos pegando Mi x Ni de 1 x 1 (Ejemplo: Si tuvieramos que pegar un rectángulo de 4 x 3, podemos pensarlo como pegar 12 rectangulos de 1 x 1). Podemos pensar lo mismo de los rectángulos adhesivos."><meta itemprop=datePublished content="2012-10-19T17:09:21+00:00"><meta itemprop=dateModified content="2012-10-19T17:09:21+00:00"><meta itemprop=wordCount content="701"><meta itemprop=keywords content="Solution,Etapa 1,Examen 2,Soluciones Preselectivo 2013"><meta name=twitter:card content="summary"><meta name=twitter:title content='Solución a "El Artista Lento"'><meta name=twitter:description content="Concurso: Preselectivo para la IOI 2013, Etapa 1, Examen 2** Autor: **Christian Hernández
 Lo primero de lo que debemos darnos cuenta es de que como los pedazos son de dimensiones enteras y se colocan en dimensiones enteras, podemos “pensar” el problema de manera que en lugar de pegar rectángulos de Mi x Ni, estamos pegando Mi x Ni de 1 x 1 (Ejemplo: Si tuvieramos que pegar un rectángulo de 4 x 3, podemos pensarlo como pegar 12 rectangulos de 1 x 1). Podemos pensar lo mismo de los rectángulos adhesivos."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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@@ -122,34 +126,34 @@
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-<span>Ir al inicio</span><svg fill="none" viewBox="0 0 24 24" stroke-width="1.5" stroke="currentcolor" class="hx-inline ltr:hx-ml-1 rtl:hx-mr-1 hx-h-3.5 hx-w-3.5 hx-border hx-rounded-full hx-border-gray-500 hover:hx-border-gray-900 dark:hx-border-gray-400 dark:hover:hx-border-gray-100 contrast-more:hx-border-gray-800 contrast-more:dark:hx-border-gray-50"><path stroke-linecap="round" stroke-linejoin="round" d="M4.5 15.75l7.5-7.5 7.5 7.5"/></svg></button></div></div></nav><article class="hx-w-full hx-break-words hx-flex hx-min-h-[calc(100vh-var(--navbar-height))] hx-min-w-0 hx-justify-center hx-pb-8 hx-pr-[calc(env(safe-area-inset-right)-1.5rem)]"><main class="hx-w-full hx-min-w-0 hx-max-w-6xl hx-px-6 hx-pt-4 md:hx-px-12"><br class="hx-mt-1.5 hx-text-sm"><h1 class="hx-text-center hx-mt-2 hx-text-4xl hx-font-bold hx-tracking-tight hx-text-slate-900 dark:hx-text-slate-100">Solución a "El Artista Lento"</h1><div class=hx-mb-16></div><div class=content><p><strong>Concurso:</strong> <a href=https://omegaup.com/arena/IOI2013E1P2 target=_blank rel=noopener>Preselectivo para la IOI 2013, Etapa 1, Examen 2</a>**<a href=https://omegaup.com/arena/IOI2013E1P2 target=_blank rel=noopener> </a> Autor: **<a href=#>Christian Hernández</a></p><p>Lo primero de lo que debemos darnos cuenta es de que como los pedazos son de dimensiones enteras y se colocan en dimensiones enteras, podemos &ldquo;pensar&rdquo; el problema de manera que en lugar de pegar rectángulos de <strong>Mi</strong> x <strong>Ni</strong>, estamos pegando <strong>Mi</strong> x <strong>Ni</strong> de 1 x 1 (Ejemplo: Si tuvieramos que pegar un rectángulo de 4 x 3, podemos pensarlo como pegar 12 rectangulos de 1 x 1). Podemos pensar lo mismo de los rectángulos adhesivos.</p><p>Si pensamos el problema sin rectángulos adhesivos, podríamos resolverlo teniendo en un arreglo matricial el color que se encuentra hasta arriba de cada rectángulo de 1 x 1 que tiene la cartulina.</p><p>Si tomamos la misma idea pero ahora teniendo en cuenta que existen rectángulos adhesivos, nos encontramos con el problema de que si rasgamos un cuadro necesitamos recordar el color la capa de papel que se encontraba debajo de la capa &ldquo;visible&rdquo;, y además podemos rasgar tantas veces como capas de papel hemos puesto. Con esto tenemos que necesitamos guardar un número de valores igual al número de capas que hemos puesto. Además tenemos que tener en cuenta el orden en el que fuimos poniendo las capas; esto es la última capa que pusimos debe de recordarse primero que la primera que pusimos, o en otras palabras: El primero que entras es el último que sale, así como el el último que entra es el primero que sale. Ese comportamiento lo encontramos en la estructura de datos Pila (Si no conoces la estructura de datos, puedes consultarla <a href=http://es.wikipedia.org/wiki/Pila_%28inform%c3%a1tica%29 target=_blank rel=noopener>acá</a>).</p><p>A continuación se encuentra la implementación de una estrúctura Pila que nos serviría para este problema:</p><div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code"><div><div class=highlight><pre tabindex=0 style=color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4><code class=language-cpp data-lang=cpp><span style=display:flex><span><span style=color:#66d9ef>struct</span> <span style=color:#a6e22e>Pila</span>{
-</span></span><span style=display:flex><span>		<span style=color:#66d9ef>char</span> arreglo[<span style=color:#ae81ff>2002</span>];
-</span></span><span style=display:flex><span>		<span style=color:#66d9ef>short</span> <span style=color:#66d9ef>int</span> posActual;
-</span></span><span style=display:flex><span>		
-</span></span><span style=display:flex><span>		<span style=color:#75715e>//Devuelve si la pila esta vacia
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span>		<span style=color:#66d9ef>bool</span> <span style=color:#a6e22e>estaVacia</span>(){
-</span></span><span style=display:flex><span>				<span style=color:#66d9ef>return</span> posActual <span style=color:#f92672>==</span> <span style=color:#ae81ff>0</span>;
-</span></span><span style=display:flex><span>		}
-</span></span><span style=display:flex><span>		
-</span></span><span style=display:flex><span>		<span style=color:#75715e>//inserta un elemento en cima de la pila
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span>		<span style=color:#66d9ef>void</span> <span style=color:#a6e22e>push</span>(<span style=color:#66d9ef>char</span> valor){
-</span></span><span style=display:flex><span>				posActual<span style=color:#f92672>++</span>;
-</span></span><span style=display:flex><span>				arreglo[posActual] <span style=color:#f92672>=</span> valor; 
-</span></span><span style=display:flex><span>		}
-</span></span><span style=display:flex><span>
-</span></span><span style=display:flex><span>		<span style=color:#75715e>//quita el elemento de la cima de la pila y lo devuelve
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span>		<span style=color:#66d9ef>char</span> <span style=color:#a6e22e>pop</span>(){
-</span></span><span style=display:flex><span>				<span style=color:#66d9ef>char</span> valor <span style=color:#f92672>=</span> <span style=color:#ae81ff>0</span>;
-</span></span><span style=display:flex><span>				<span style=color:#66d9ef>if</span>(<span style=color:#f92672>!</span>estaVacia()){
-</span></span><span style=display:flex><span>						valor <span style=color:#f92672>=</span> arreglo[posActual];
-</span></span><span style=display:flex><span>						posActual<span style=color:#f92672>--</span>;
-</span></span><span style=display:flex><span>				}
-</span></span><span style=display:flex><span>				<span style=color:#66d9ef>return</span> valor;
-</span></span><span style=display:flex><span>		}
-</span></span><span style=display:flex><span>
-</span></span><span style=display:flex><span>		<span style=color:#75715e>//devuelve el valor del elemento de la cima de la pila
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span>		<span style=color:#66d9ef>char</span> <span style=color:#a6e22e>top</span>(){
-</span></span><span style=display:flex><span>				<span style=color:#66d9ef>return</span> arreglo[posActual];
-</span></span><span style=display:flex><span>		}
-</span></span><span style=display:flex><span>}; 
+<span>Ir al inicio</span><svg fill="none" viewBox="0 0 24 24" stroke-width="1.5" stroke="currentcolor" class="hx-inline ltr:hx-ml-1 rtl:hx-mr-1 hx-h-3.5 hx-w-3.5 hx-border hx-rounded-full hx-border-gray-500 hover:hx-border-gray-900 dark:hx-border-gray-400 dark:hover:hx-border-gray-100 contrast-more:hx-border-gray-800 contrast-more:dark:hx-border-gray-50"><path stroke-linecap="round" stroke-linejoin="round" d="M4.5 15.75l7.5-7.5 7.5 7.5"/></svg></button></div></div></nav><article class="hx-w-full hx-break-words hx-flex hx-min-h-[calc(100vh-var(--navbar-height))] hx-min-w-0 hx-justify-center hx-pb-8 hx-pr-[calc(env(safe-area-inset-right)-1.5rem)]"><main class="hx-w-full hx-min-w-0 hx-max-w-6xl hx-px-6 hx-pt-4 md:hx-px-12"><br class="hx-mt-1.5 hx-text-sm"><h1 class="hx-text-center hx-mt-2 hx-text-4xl hx-font-bold hx-tracking-tight hx-text-slate-900 dark:hx-text-slate-100">Solución a "El Artista Lento"</h1><div class=hx-mb-16></div><div class=content><p><strong>Concurso:</strong> <a href=https://omegaup.com/arena/IOI2013E1P2 target=_blank rel=noopener>Preselectivo para la IOI 2013, Etapa 1, Examen 2</a>**<a href=https://omegaup.com/arena/IOI2013E1P2 target=_blank rel=noopener> </a> Autor: **<a href=#>Christian Hernández</a></p><p>Lo primero de lo que debemos darnos cuenta es de que como los pedazos son de dimensiones enteras y se colocan en dimensiones enteras, podemos &ldquo;pensar&rdquo; el problema de manera que en lugar de pegar rectángulos de <strong>Mi</strong> x <strong>Ni</strong>, estamos pegando <strong>Mi</strong> x <strong>Ni</strong> de 1 x 1 (Ejemplo: Si tuvieramos que pegar un rectángulo de 4 x 3, podemos pensarlo como pegar 12 rectangulos de 1 x 1). Podemos pensar lo mismo de los rectángulos adhesivos.</p><p>Si pensamos el problema sin rectángulos adhesivos, podríamos resolverlo teniendo en un arreglo matricial el color que se encuentra hasta arriba de cada rectángulo de 1 x 1 que tiene la cartulina.</p><p>Si tomamos la misma idea pero ahora teniendo en cuenta que existen rectángulos adhesivos, nos encontramos con el problema de que si rasgamos un cuadro necesitamos recordar el color la capa de papel que se encontraba debajo de la capa &ldquo;visible&rdquo;, y además podemos rasgar tantas veces como capas de papel hemos puesto. Con esto tenemos que necesitamos guardar un número de valores igual al número de capas que hemos puesto. Además tenemos que tener en cuenta el orden en el que fuimos poniendo las capas; esto es la última capa que pusimos debe de recordarse primero que la primera que pusimos, o en otras palabras: El primero que entras es el último que sale, así como el el último que entra es el primero que sale. Ese comportamiento lo encontramos en la estructura de datos Pila (Si no conoces la estructura de datos, puedes consultarla <a href=http://es.wikipedia.org/wiki/Pila_%28inform%c3%a1tica%29 target=_blank rel=noopener>acá</a>).</p><p>A continuación se encuentra la implementación de una estrúctura Pila que nos serviría para este problema:</p><div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code"><div><div class=highlight><pre tabindex=0 class=chroma><code class=language-cpp data-lang=cpp><span class=line><span class=cl><span class=k>struct</span> <span class=nc>Pila</span><span class=p>{</span>
+</span></span><span class=line><span class=cl>		<span class=kt>char</span> <span class=n>arreglo</span><span class=p>[</span><span class=mi>2002</span><span class=p>];</span>
+</span></span><span class=line><span class=cl>		<span class=kt>short</span> <span class=kt>int</span> <span class=n>posActual</span><span class=p>;</span>
+</span></span><span class=line><span class=cl>		
+</span></span><span class=line><span class=cl>		<span class=c1>//Devuelve si la pila esta vacia
+</span></span></span><span class=line><span class=cl><span class=c1></span>		<span class=kt>bool</span> <span class=nf>estaVacia</span><span class=p>(){</span>
+</span></span><span class=line><span class=cl>				<span class=k>return</span> <span class=n>posActual</span> <span class=o>==</span> <span class=mi>0</span><span class=p>;</span>
+</span></span><span class=line><span class=cl>		<span class=p>}</span>
+</span></span><span class=line><span class=cl>		
+</span></span><span class=line><span class=cl>		<span class=c1>//inserta un elemento en cima de la pila
+</span></span></span><span class=line><span class=cl><span class=c1></span>		<span class=kt>void</span> <span class=nf>push</span><span class=p>(</span><span class=kt>char</span> <span class=n>valor</span><span class=p>){</span>
+</span></span><span class=line><span class=cl>				<span class=n>posActual</span><span class=o>++</span><span class=p>;</span>
+</span></span><span class=line><span class=cl>				<span class=n>arreglo</span><span class=p>[</span><span class=n>posActual</span><span class=p>]</span> <span class=o>=</span> <span class=n>valor</span><span class=p>;</span> 
+</span></span><span class=line><span class=cl>		<span class=p>}</span>
+</span></span><span class=line><span class=cl>
+</span></span><span class=line><span class=cl>		<span class=c1>//quita el elemento de la cima de la pila y lo devuelve
+</span></span></span><span class=line><span class=cl><span class=c1></span>		<span class=kt>char</span> <span class=nf>pop</span><span class=p>(){</span>
+</span></span><span class=line><span class=cl>				<span class=kt>char</span> <span class=n>valor</span> <span class=o>=</span> <span class=mi>0</span><span class=p>;</span>
+</span></span><span class=line><span class=cl>				<span class=k>if</span><span class=p>(</span><span class=o>!</span><span class=n>estaVacia</span><span class=p>()){</span>
+</span></span><span class=line><span class=cl>						<span class=n>valor</span> <span class=o>=</span> <span class=n>arreglo</span><span class=p>[</span><span class=n>posActual</span><span class=p>];</span>
+</span></span><span class=line><span class=cl>						<span class=n>posActual</span><span class=o>--</span><span class=p>;</span>
+</span></span><span class=line><span class=cl>				<span class=p>}</span>
+</span></span><span class=line><span class=cl>				<span class=k>return</span> <span class=n>valor</span><span class=p>;</span>
+</span></span><span class=line><span class=cl>		<span class=p>}</span>
+</span></span><span class=line><span class=cl>
+</span></span><span class=line><span class=cl>		<span class=c1>//devuelve el valor del elemento de la cima de la pila
+</span></span></span><span class=line><span class=cl><span class=c1></span>		<span class=kt>char</span> <span class=nf>top</span><span class=p>(){</span>
+</span></span><span class=line><span class=cl>				<span class=k>return</span> <span class=n>arreglo</span><span class=p>[</span><span class=n>posActual</span><span class=p>];</span>
+</span></span><span class=line><span class=cl>		<span class=p>}</span>
+</span></span><span class=line><span class=cl><span class=p>};</span> 
 </span></span></code></pre></div></div><div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0"><button class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50" title="Copiar código"><div class="copy-icon group-[.copied]/copybtn:hx-hidden hx-pointer-events-none hx-h-4 hx-w-4"></div><div class="success-icon hx-hidden group-[.copied]/copybtn:hx-block hx-pointer-events-none hx-h-4 hx-w-4"></div></button></div></div><p>Es importante notar que esta es una implementación estática de una Pila (Siempre ocupa el mismo espacio en memoria sin importar el número de elementos, además de que el número de elementos máximo ya está definido). Como se ve, se han utilizado char para guardar los valores, ya que el valor de los colores llega hasta 100, por lo que un char es más que suficiente.</p><p>Entonces teniendo pilas para recordar todas nuestras capas de papel en orden, lo que podemos hacer es hacer un arreglo matricial de pilas para resolver nuestro problema.</p><p>Básicamente, cada que agreguemos un rectágulo de papel a nuestra cartulina lo que tenemos que hacer es, para cada rectángulo de 1 x 1 que abarca, agregar el color a la pila en su posición en la matriz. Si se trata de un rectángulo adhesivo, hacemos justo lo contrario, sacamos un valor de la pilas correspondientes.</p><p>Sólo nos queda resolver el problema del grosor de la cartulina. Debido a que necesitamos desgarrala G veces con un rectángulo adhesivo, podemos pensar que se tratan de G capas de papel del color de la cartulina. Entonces, se reduce a inicializar nuestro arreglo pilas agregando G capas del color de la cartulina.</p><p>La complejidad de agregar una capa de papel a la cartulina es de <strong>O(M x N)</strong> (ya que una sola capa puede abarcar toda la cartulina), la misma aplica para usar un rectángulo adhesivo. Entonces la complejidad de agregar todas las capas quedaría <strong>O(M x N x K)</strong> donde <strong>K</strong> es el número de rectángulos por pegar. Inicializar la cartulina tendría una complejidad <strong>O(M x N x G)</strong> donde <strong>G</strong> es el grosor. Dejándonos con una complejidad final de <strong>O(M x N x (K + G))</strong> que es suficientemente buena como para funcionar con los límites de tiempo establecidos.</p><p>La complejidad en memoria es igual de <strong>O(M x N x (K + G))</strong>, ya que se tienen que guardar las <strong>(K + G)</strong> capas de papel en la matriz de <strong>M</strong> x <strong>N</strong>.</p><script src=https://gist.github.com/OlimpiadaMexicanadeInformatica/6559074.js></script></div><div class=hx-mt-16></div></main></article></div><footer class="hextra-footer hx-bg-gray-100 hx-pb-[env(safe-area-inset-bottom)] dark:hx-bg-neutral-900 print:hx-bg-transparent"><div class="hx-mx-auto hx-flex hx-gap-2 hx-py-2 hx-px-4 hx-max-w-screen-xl"><button title="Cambiar tema" data-theme=light class="theme-toggle hx-group hx-h-7 hx-rounded-md hx-px-2 hx-text-left hx-text-xs hx-font-medium hx-text-gray-600 hx-transition-colors dark:hx-text-gray-400 hover:hx-bg-gray-100 hover:hx-text-gray-900 dark:hover:hx-bg-primary-100/5 dark:hover:hx-text-gray-50" type=button aria-label="Cambiar tema"><div class="hx-flex hx-items-center hx-gap-2 hx-capitalize"><svg height="12" class="group-data-[theme=light]:hx-hidden" fill="none" viewBox="0 0 24 24" stroke-width="2" stroke="currentcolor" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" d="M12 3v1m0 16v1m9-9h-1M4 12H3m15.364 6.364-.707-.707M6.343 6.343l-.707-.707m12.728.0-.707.707M6.343 17.657l-.707.707M16 12a4 4 0 11-8 0 4 4 0 018 0z"/></svg><span class="group-data-[theme=light]:hx-hidden">Modo claro</span><svg height="12" class="group-data-[theme=dark]:hx-hidden" fill="none" viewBox="0 0 24 24" stroke-width="2" stroke="currentcolor" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" d="M20.354 15.354A9 9 0 018.646 3.646 9.003 9.003.0 0012 21a9.003 9.003.0 008.354-5.646z"/></svg><span class="group-data-[theme=dark]:hx-hidden">Modo oscuro</span></div></button></div><hr class=dark:hx-border-neutral-800><div class="hx-max-w-screen-xl hx-mx-auto hx-flex hx-justify-center hx-py-12 hx-pl-[max(env(safe-area-inset-left),1.5rem)] hx-pr-[max(env(safe-area-inset-right),1.5rem)] hx-text-gray-600 dark:hx-text-gray-400 md:hx-justify-start"><div class="hx-flex hx-w-full hx-flex-col hx-items-center sm:hx-items-start"><div class="hx-mt-6 hx-text-xs">Derechos reservados omegaUp © 2024.</div></div></div></footer><script defer src=/js/main.min.d0f0346255ba9418db8fcf7f9440ca4e532e06276d8df17497e19e1045ee360b.js integrity="sha256-0PA0YlW6lBjbj89/lEDKTlMuBidtjfF0l+GeEEXuNgs="></script><script defer src=/lib/flexsearch/flexsearch.bundle.min.e45e7eb129aae9f684e7f863bb7c1d612ea124b7068e12af80c58c62764a5379.js integrity="sha256-5F5+sSmq6faE5/hju3wdYS6hJLcGjhKvgMWMYnZKU3k="></script><script defer src=/es.search.min.22b690999814062b6c1f520ab1382c4b2dee00893bf5dea1e0d0415986c85591.js integrity="sha256-IraQmZgUBitsH1IKsTgsSy3uAIk79d6h4NBBWYbIVZE="></script></body></html>
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diff --git a/posts/solucion-a-el-collar-de-perlas/index.html b/posts/solucion-a-el-collar-de-perlas/index.html
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--- a/posts/solucion-a-el-collar-de-perlas/index.html
+++ b/posts/solucion-a-el-collar-de-perlas/index.html
@@ -17,6 +17,10 @@
 Durante el juego, el collar se pasa de un enano a otro de acuerdo con las siguientes reglas: cuando un enano recibe el collar, el quita la primer perla en el collar y si la perla es blanca, entonces pasa lo que quedo del collar a cualquier enano que este en su lista blanca (al que el quiera), pero si la piedra es negra, entonces pasa lo que quedo del collar a algun enano de su lista negra. Para empezar el juego, el collar se le da a un enano aleatoriamente.
 En algun momento el collar solamente va a tener el diamante, el enano que recibe el collar en este estado gana el diamante para su clan y el juego termina."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/solucion-a-jardinero/index.html b/posts/solucion-a-jardinero/index.html
index ca05c4e..9713451 100644
--- a/posts/solucion-a-jardinero/index.html
+++ b/posts/solucion-a-jardinero/index.html
@@ -9,6 +9,10 @@
 En este problema, una búsqueda exhaustiva con podas bastaba para que corriera en tiempo.
 La búsqueda podía tener como estado al renglón y a la columna en la que se estaban, más las casillas por las que ya se había pasado más el numero de la siguiente casilla a esconderse que se necesitaba."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/solucion-a-k-arbol/index.html b/posts/solucion-a-k-arbol/index.html
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--- a/posts/solucion-a-k-arbol/index.html
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 <!doctype html><html lang=es><head><meta charset=utf-8><meta name=viewport content="width=device-width,initial-scale=1"><meta name=robots content="index, follow"><link rel="icon shortcut" href=/favicon.ico sizes=32x32><link rel=icon href=/favicon.svg type=image/svg+xml><link rel=icon href=/favicon-dark.svg type=image/svg+xml media="(prefers-color-scheme: dark)"><link rel=icon href=/favicon-16x16.png type=image/png sizes=16x16><link rel=icon href=/favicon-32x32.png type=image/png sizes=32x32><link rel=apple-touch-icon href=/apple-touch-icon.png sizes=180x180><link fetchpriority=low href=/site.webmanifest rel=manifest><title>Solución a "K-Arbol" – omegaUp blog</title>
 <meta name=description content=" Concurso: Preselectivo para la IOI 2013, Etapa 1, Examen 5 **Autor: **Saul de Nova Caballero
-En pocas palabras el problema es, dado un árbol que se puede colorear, encuentra la menor solución satisfaciendo las restricciones dadas sobre los colores. Este problema es un caso particular de Graph Coloring(en español coloración de grafos), en donde el grafo es un árbol.
-Subcaso 1(10 puntos)Para el primer subcaso era posible hacer una búsqueda en profunidad sobre todos los nodos, encontrando la menor solución. Para guardar el árbol, era posible utilizar una matriz que guardara todos los colores posibles y entonces ver si era posible una solución con el menor color posible. La solución de este caso era trivial si se usaba una búsqueda exhaustiva."><link rel=canonical href=https://blog.omegaup.com/posts/solucion-a-k-arbol/ itemprop=url><meta property="og:title" content='Solución a "K-Arbol"'><meta property="og:description" content="
+En pocas palabras el problema es, dado un árbol que se puede colorear, encuentra la menor solución satisfaciendo las restricciones dadas sobre los colores. Este problema es un caso particular de Graph Coloring(en español coloración de grafos), en donde el grafo es un árbol."><link rel=canonical href=https://blog.omegaup.com/posts/solucion-a-k-arbol/ itemprop=url><meta property="og:title" content='Solución a "K-Arbol"'><meta property="og:description" content="
 Concurso: Preselectivo para la IOI 2013, Etapa 1, Examen 5 **Autor: **Saul de Nova Caballero
-En pocas palabras el problema es, dado un árbol que se puede colorear, encuentra la menor solución satisfaciendo las restricciones dadas sobre los colores. Este problema es un caso particular de Graph Coloring(en español coloración de grafos), en donde el grafo es un árbol.
-Subcaso 1(10 puntos)Para el primer subcaso era posible hacer una búsqueda en profunidad sobre todos los nodos, encontrando la menor solución. Para guardar el árbol, era posible utilizar una matriz que guardara todos los colores posibles y entonces ver si era posible una solución con el menor color posible. La solución de este caso era trivial si se usaba una búsqueda exhaustiva."><meta property="og:type" content="article"><meta property="og:url" content="https://blog.omegaup.com/posts/solucion-a-k-arbol/"><meta property="article:section" content="posts"><meta property="article:published_time" content="2013-01-07T17:37:40+00:00"><meta property="article:modified_time" content="2013-01-07T17:37:40+00:00"><meta itemprop=name content='Solución a "K-Arbol"'><meta itemprop=description content="Concurso: Preselectivo para la IOI 2013, Etapa 1, Examen 5 **Autor: **Saul de Nova Caballero
-En pocas palabras el problema es, dado un árbol que se puede colorear, encuentra la menor solución satisfaciendo las restricciones dadas sobre los colores. Este problema es un caso particular de Graph Coloring(en español coloración de grafos), en donde el grafo es un árbol.
-Subcaso 1(10 puntos)Para el primer subcaso era posible hacer una búsqueda en profunidad sobre todos los nodos, encontrando la menor solución. Para guardar el árbol, era posible utilizar una matriz que guardara todos los colores posibles y entonces ver si era posible una solución con el menor color posible. La solución de este caso era trivial si se usaba una búsqueda exhaustiva."><meta itemprop=datePublished content="2013-01-07T17:37:40+00:00"><meta itemprop=dateModified content="2013-01-07T17:37:40+00:00"><meta itemprop=wordCount content="1524"><meta itemprop=keywords content="Solution,Etapa 1,Examen 5,Soluciones Preselectivo 2013"><meta name=twitter:card content="summary"><meta name=twitter:title content='Solución a "K-Arbol"'><meta name=twitter:description content="Concurso: Preselectivo para la IOI 2013, Etapa 1, Examen 5 **Autor: **Saul de Nova Caballero
-En pocas palabras el problema es, dado un árbol que se puede colorear, encuentra la menor solución satisfaciendo las restricciones dadas sobre los colores. Este problema es un caso particular de Graph Coloring(en español coloración de grafos), en donde el grafo es un árbol.
-Subcaso 1(10 puntos)Para el primer subcaso era posible hacer una búsqueda en profunidad sobre todos los nodos, encontrando la menor solución. Para guardar el árbol, era posible utilizar una matriz que guardara todos los colores posibles y entonces ver si era posible una solución con el menor color posible. La solución de este caso era trivial si se usaba una búsqueda exhaustiva."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
+En pocas palabras el problema es, dado un árbol que se puede colorear, encuentra la menor solución satisfaciendo las restricciones dadas sobre los colores. Este problema es un caso particular de Graph Coloring(en español coloración de grafos), en donde el grafo es un árbol."><meta property="og:type" content="article"><meta property="og:url" content="https://blog.omegaup.com/posts/solucion-a-k-arbol/"><meta property="article:section" content="posts"><meta property="article:published_time" content="2013-01-07T17:37:40+00:00"><meta property="article:modified_time" content="2013-01-07T17:37:40+00:00"><meta itemprop=name content='Solución a "K-Arbol"'><meta itemprop=description content="Concurso: Preselectivo para la IOI 2013, Etapa 1, Examen 5 **Autor: **Saul de Nova Caballero
+En pocas palabras el problema es, dado un árbol que se puede colorear, encuentra la menor solución satisfaciendo las restricciones dadas sobre los colores. Este problema es un caso particular de Graph Coloring(en español coloración de grafos), en donde el grafo es un árbol."><meta itemprop=datePublished content="2013-01-07T17:37:40+00:00"><meta itemprop=dateModified content="2013-01-07T17:37:40+00:00"><meta itemprop=wordCount content="1524"><meta itemprop=keywords content="Solution,Etapa 1,Examen 5,Soluciones Preselectivo 2013"><meta name=twitter:card content="summary"><meta name=twitter:title content='Solución a "K-Arbol"'><meta name=twitter:description content="Concurso: Preselectivo para la IOI 2013, Etapa 1, Examen 5 **Autor: **Saul de Nova Caballero
+En pocas palabras el problema es, dado un árbol que se puede colorear, encuentra la menor solución satisfaciendo las restricciones dadas sobre los colores. Este problema es un caso particular de Graph Coloring(en español coloración de grafos), en donde el grafo es un árbol."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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Este problema es un caso particular de Graph Coloring(en español coloración de grafos), en donde el grafo es un árbol.</p><h1>Subcaso 1(10 puntos)</h1><p>Para el primer subcaso era posible hacer una búsqueda en profunidad sobre todos los nodos, encontrando la menor solución. Para guardar el árbol, era posible utilizar una matriz que guardara todos los colores posibles y entonces ver si era posible una solución con el menor color posible. La solución de este caso era trivial si se usaba una búsqueda exhaustiva.</p><h1>Subcaso 2(20 puntos)</h1><p>Para el segundo subcaso era necesario una mejor estrategia. Para este caso, era necesaria la observación de que todos los colores de los nodos solo dependen de su padre y de sus hijos. Otra observación importante era que para los nodos del árbol, excepto las hojas, había que procesar a sus hijos menores.Procesar implica checar que colores puede tener un nodo. Por lo que para lograr los puntos en este subcaso era necesario procesar los nodos hijos, luego sus padres y asi sucesivamente. Es decir para procesar, un nodo primero hay que procesar a todos sus hijos.</p><p>La forma de procesar a un nodo es la siguiente. Por cada nodo se compara con su padre y al momento de comparar, lo que se busca es que por cada color del nodo, el padre no tenga un color que lo elimine como opción. Es decir tengo el siguiente caso</p><p>Nodo -> Rojo, Verde, Azul</p><p>Padre -> Rojo, Verde</p><p>Por cada color del nodo, el padre puede elegir un color distinto. Por ejemplo, si el Nodo es Rojo, el padre puede ser Verde. Si el nodo es Verde, el padre puede ser Rojo y si el nodo es Azul, puedes elegir el Rojo o el Verde. Sin embargo, para el siguiente caso</p><p>Nodo -> Rojo, Verde, Azul</p><p>Padre -> Rojo</p><p>El padre del nodo solo puede ser Rojo, por lo que para que las condiciones del problema se cumplan, el Nodo no puede ser Rojo. En este caso actualizamos la tabla de valores posibles del Nodo. Y queda como</p><p>Nodo -> Verde, Azul</p><p>Padre -> Rojo</p><p>Lo anterior se hace para cada par de nodos desde los nodos hoja hasta la raíz. Procesandolos de menor a mayor da la mejor solución</p><h1>Subcaso 3(20 puntos)</h1><p>Para obtener los puntos del subcaso 3 era posible simplemente ver por cada nodo procesarlo comenzando en la raíz, ya que en este caso el grafo en basicamente una gran línea. Utilizando la técnica descrita en el subcaso 2 por cada nodo se obtenía una solución a este subcaso</p><h1>Subcaso 4(50 puntos)</h1><p>Para los puntos del cuarto caso era necesario &ldquo;linearizar&rdquo; el grafo, esto simplemente significa que los nodos mas arriba van a tener menor prioridad que los nodos de abajo, es decir el nodo raíz tendría valor 0 mientras que sus hijos tendrían valores más altos. Por ejemplo para un caso asi:</p><p>0 -> 1 -> 4</p><p>-> 2</p><p>-> 3</p><p>El nodo 0 es la raíz del árbol, el nodo 1 y 3 son hijos de 0 y los nodos 2 y 4 son hijos de 1, el arbol se linearizaría de la siguiente manera:</p><p>0 -> 1, 1 -> 2, 3 -> 3, 4 -> 4, 2 -> 5</p><p>Ahora lo que es necesario hacer es por cada nodo de mayor prioridad a los de menor prioridad es necesario hacer la técnica explicada en el subcaso 2.Tomando en cuenta otra observación. Que solo es necesario procesar los nodos que solo tengan un color. Es decir si el nodo 0 tiene posibilidad de ser Rojo, Azul o Verde, no es necesario procesarlo. Sin embargo si un nodo solo puede ser azul, hay que eliminar esa posiblidad tanto de su padre como de sus hijos.</p><p><img src=/images/linearizar.jpg alt loading=lazy></p><p>Imagen obtenida de <a href=http://aima.cs.berkeley.edu/newchap05.pdf target=_blank rel=noopener>http://aima.cs.berkeley.edu/newchap05.pdf</a></p><div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code"><div><div class=highlight><pre tabindex=0 style=color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4><code class=language-cpp data-lang=cpp><span style=display:flex><span> <span style=color:#ae81ff>1</span> <span style=color:#75715e>// karbol100.cpp
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span> <span style=color:#ae81ff>2</span> <span style=color:#75715e>// By Saul de Nova Caballero
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span> <span style=color:#ae81ff>3</span> 
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>4</span> <span style=color:#75715e>//Librerias de la standard template library de c++(stl)
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span> <span style=color:#ae81ff>5</span> <span style=color:#960050;background-color:#1e0010>#</span>include <span style=color:#f92672>&lt;</span>algorithm<span style=color:#f92672>&gt;</span>
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>6</span> <span style=color:#960050;background-color:#1e0010>#</span>include <span style=color:#f92672>&lt;</span>cassert<span style=color:#f92672>&gt;</span>
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>7</span> <span style=color:#960050;background-color:#1e0010>#</span>include <span style=color:#f92672>&lt;</span>cstdio<span style=color:#f92672>&gt;</span>
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>8</span> <span style=color:#960050;background-color:#1e0010>#</span>include <span style=color:#f92672>&lt;</span>cstdlib<span style=color:#f92672>&gt;</span>
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>9</span> <span style=color:#960050;background-color:#1e0010>#</span>include <span style=color:#f92672>&lt;</span>cstring<span style=color:#f92672>&gt;</span>
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>10</span> <span style=color:#960050;background-color:#1e0010>#</span>include <span style=color:#f92672>&lt;</span>iostream<span style=color:#f92672>&gt;</span>
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>11</span> <span style=color:#960050;background-color:#1e0010>#</span>include <span style=color:#f92672>&lt;</span>list<span style=color:#f92672>&gt;</span>
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>12</span> <span style=color:#960050;background-color:#1e0010>#</span>include <span style=color:#f92672>&lt;</span>utility<span style=color:#f92672>&gt;</span>
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>13</span> 
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>14</span> <span style=color:#66d9ef>using</span> <span style=color:#66d9ef>namespace</span> std;
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>15</span> 
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>16</span> <span style=color:#75715e>//Iterador sobre estructuras de datos. En este caso listas de la stl
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span> <span style=color:#ae81ff>17</span> <span style=color:#960050;background-color:#1e0010>#</span>define TR(container, it) <span style=color:#960050;background-color:#1e0010>\</span>\
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>18</span> <span style=color:#66d9ef>for</span>(typeof(container.begin()) it <span style=color:#f92672>=</span> container.begin() ; it <span style=color:#f92672>!=</span> container.end() ; <span style=color:#f92672>++</span>it)
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>19</span> 
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>20</span> <span style=color:#75715e>//Definicion de un par de la stl
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span> <span style=color:#ae81ff>21</span> <span style=color:#66d9ef>typedef</span> pair<span style=color:#f92672>&lt;</span><span style=color:#66d9ef>int</span>, <span style=color:#66d9ef>int</span><span style=color:#960050;background-color:#1e0010>\</span><span style=color:#f92672>&gt;</span> pii;
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>22</span> 
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>23</span> <span style=color:#75715e>//Constantes del programa
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span> <span style=color:#ae81ff>24</span> <span style=color:#66d9ef>const</span> <span style=color:#66d9ef>int</span> MAXN <span style=color:#f92672>=</span> <span style=color:#ae81ff>10002</span>;
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>25</span> <span style=color:#66d9ef>const</span> <span style=color:#66d9ef>int</span> MAXM <span style=color:#f92672>=</span> <span style=color:#ae81ff>502</span>;
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>26</span> <span style=color:#66d9ef>const</span> <span style=color:#66d9ef>int</span> MAXMEM <span style=color:#f92672>=</span> <span style=color:#ae81ff>2</span><span style=color:#960050;background-color:#1e0010>\</span><span style=color:#f92672>*</span>MAXN;
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>27</span> 
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>28</span> <span style=color:#75715e>//Clase para definir los hijos del arbol
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span> <span style=color:#ae81ff>29</span> <span style=color:#75715e>//Es una lista con todos los hijos de cada nodo
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span> <span style=color:#ae81ff>30</span> <span style=color:#66d9ef>class</span> <span style=color:#a6e22e>Graph</span> {
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>31</span>    <span style=color:#66d9ef>public</span> <span style=color:#f92672>:</span>
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>32</span>    <span style=color:#66d9ef>void</span> addNode(<span style=color:#66d9ef>int</span> node, <span style=color:#66d9ef>int</span> value) {
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>33</span>        nodes<span style=color:#960050;background-color:#1e0010>\</span>[node<span style=color:#960050;background-color:#1e0010>\</span>].push<span style=color:#960050;background-color:#1e0010>\</span>_back(value);
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>34</span>    }
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>35</span>    list<span style=color:#f92672>&lt;</span><span style=color:#66d9ef>int</span><span style=color:#960050;background-color:#1e0010>\</span><span style=color:#f92672>&gt;</span> nodes<span style=color:#960050;background-color:#1e0010>\</span>[MAXN<span style=color:#960050;background-color:#1e0010>\</span>];
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>36</span> };
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>37</span> 
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>38</span> <span style=color:#75715e>//Clase para cola de las busquedas en amplitud
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span> <span style=color:#ae81ff>39</span> <span style=color:#75715e>//Es de tipo generica
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span> <span style=color:#ae81ff>40</span> <span style=color:#66d9ef>template</span><span style=color:#f92672>&lt;</span><span style=color:#66d9ef>class</span> <span style=color:#a6e22e>T</span><span style=color:#f92672>&gt;</span>
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>41</span> <span style=color:#66d9ef>class</span> <span style=color:#a6e22e>Queue</span> {
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>42</span>    <span style=color:#66d9ef>public</span> <span style=color:#f92672>:</span>
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>43</span>    Queue() { init(); }
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>44</span>    <span style=color:#66d9ef>void</span> <span style=color:#a6e22e>init</span>() { p1 <span style=color:#f92672>=</span> <span style=color:#ae81ff>0</span>; p2 <span style=color:#f92672>=</span> <span style=color:#ae81ff>1</span>; }
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>45</span>    <span style=color:#66d9ef>void</span> <span style=color:#a6e22e>push</span>(T val) { memory<span style=color:#960050;background-color:#1e0010>\</span>[<span style=color:#f92672>++</span>p1<span style=color:#960050;background-color:#1e0010>\</span>] <span style=color:#f92672>=</span> val; }
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>46</span>    T <span style=color:#a6e22e>front</span>() { <span style=color:#66d9ef>return</span> memory<span style=color:#960050;background-color:#1e0010>\</span>[p2<span style=color:#960050;background-color:#1e0010>\</span>]; }
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>47</span>    <span style=color:#66d9ef>void</span> <span style=color:#a6e22e>pop</span>() { p2<span style=color:#f92672>++</span>; }
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>48</span>    <span style=color:#66d9ef>bool</span> <span style=color:#a6e22e>empty</span>() { <span style=color:#66d9ef>return</span> (p1 <span style=color:#f92672>&lt;</span> p2); }
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>49</span> 
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>50</span>    <span style=color:#66d9ef>private</span> <span style=color:#f92672>:</span>
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>51</span>    <span style=color:#66d9ef>int</span> p1, p2;
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>52</span>    T memory<span style=color:#960050;background-color:#1e0010>\</span>[MAXMEM<span style=color:#960050;background-color:#1e0010>\</span>];
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>53</span> };
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>54</span> 
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>55</span> <span style=color:#75715e>//Definicion de todas las variables del programa
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span> <span style=color:#ae81ff>56</span> <span style=color:#66d9ef>int</span> N, M, C, <span style=color:#75715e>//Variables dadas
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span> <span style=color:#ae81ff>57</span>    allowedColorsSize<span style=color:#960050;background-color:#1e0010>\</span>[MAXN<span style=color:#960050;background-color:#1e0010>\</span>], <span style=color:#75715e>//La cantidad de colores posibles por nodo
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span> <span style=color:#ae81ff>58</span>    parents<span style=color:#960050;background-color:#1e0010>\</span>[MAXN<span style=color:#960050;background-color:#1e0010>\</span>], <span style=color:#75715e>//El padre de cada nodo
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span> <span style=color:#ae81ff>59</span>    colorAssigned<span style=color:#960050;background-color:#1e0010>\</span>[MAXN<span style=color:#960050;background-color:#1e0010>\</span>]; <span style=color:#75715e>//El color que le asigne al final al nodo
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span> <span style=color:#ae81ff>60</span> <span style=color:#66d9ef>bool</span> allowedColors<span style=color:#960050;background-color:#1e0010>\</span>[MAXN<span style=color:#960050;background-color:#1e0010>\</span>]<span style=color:#960050;background-color:#1e0010>\</span>[MAXM<span style=color:#960050;background-color:#1e0010>\</span>]; <span style=color:#75715e>//Una matriz con todos los colores posibles por cada nodo
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span> <span style=color:#ae81ff>61</span> list<span style=color:#f92672>&lt;</span><span style=color:#66d9ef>int</span><span style=color:#960050;background-color:#1e0010>\</span><span style=color:#f92672>&gt;</span> nodesOrder; <span style=color:#75715e>//Una lista ordenada de mayor a menor por la profundidad de cada nodo
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span> <span style=color:#ae81ff>62</span> Graph tree; <span style=color:#75715e>//Mi arbol
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span> <span style=color:#ae81ff>63</span> Queue<span style=color:#f92672>&lt;</span>pii<span style=color:#f92672>&gt;</span> searchDepth; <span style=color:#75715e>//Una cola para la busqueda
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span> <span style=color:#ae81ff>64</span> 
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>65</span> <span style=color:#75715e>//Regresa el color valido por cada nodo permitiendo que un nodo no sea de un color
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span> <span style=color:#ae81ff>66</span> <span style=color:#66d9ef>int</span> validColor(<span style=color:#66d9ef>int</span> node, <span style=color:#66d9ef>int</span> constraint <span style=color:#f92672>=</span> <span style=color:#f92672>-</span><span style=color:#ae81ff>1</span>) {
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>67</span>    <span style=color:#66d9ef>for</span>(<span style=color:#66d9ef>int</span> i <span style=color:#f92672>=</span> <span style=color:#ae81ff>0</span>; i <span style=color:#f92672>&lt;</span> M; <span style=color:#f92672>++</span>i) {
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>68</span>        <span style=color:#a6e22e>if</span>(allowedColors<span style=color:#960050;background-color:#1e0010>\</span>[node<span style=color:#960050;background-color:#1e0010>\</span>]<span style=color:#960050;background-color:#1e0010>\</span>[i<span style=color:#960050;background-color:#1e0010>\</span>] <span style=color:#f92672>&amp;&amp;</span> constraint <span style=color:#f92672>!=</span> i) {
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>69</span>            <span style=color:#66d9ef>return</span> i;
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>70</span>        }
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>71</span>    }
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>72</span>    <span style=color:#66d9ef>return</span> <span style=color:#f92672>-</span><span style=color:#ae81ff>1</span>;
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>73</span> }
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>74</span> 
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>75</span> <span style=color:#75715e>//Funcion para la lectura de todas las variables y la inicializacion de las estructuras
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span> <span style=color:#ae81ff>76</span> <span style=color:#75715e>//Los asserts son para probar que el codigo es correcto
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span> <span style=color:#ae81ff>77</span> <span style=color:#f92672>/</span><span style=color:#960050;background-color:#1e0010>\</span><span style=color:#f92672>*</span>Guarda en allowedColors los posibles colores por nodo en una matriz<span style=color:#960050;background-color:#1e0010>\*/</span>
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>78</span> <span style=color:#66d9ef>void</span> read() {
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>79</span>    <span style=color:#66d9ef>int</span> node, prohibited;
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>80</span>    <span style=color:#a6e22e>scanf</span>(<span style=color:#e6db74>&#34;%d%d&#34;</span>, <span style=color:#f92672>&amp;</span>N, <span style=color:#f92672>&amp;</span>M);
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>81</span>    <span style=color:#a6e22e>assert</span>(<span style=color:#ae81ff>1</span> <span style=color:#f92672>&lt;=</span> N <span style=color:#f92672>&amp;&amp;</span> N <span style=color:#f92672>&lt;=</span> MAXN<span style=color:#f92672>-</span><span style=color:#ae81ff>2</span>);
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>82</span>    allowedColorsSize<span style=color:#960050;background-color:#1e0010>\</span>[<span style=color:#ae81ff>0</span><span style=color:#960050;background-color:#1e0010>\</span>] <span style=color:#f92672>=</span> M;
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>83</span>    <span style=color:#a6e22e>memset</span>(allowedColors, true, <span style=color:#66d9ef>sizeof</span>(allowedColors));
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>84</span>    <span style=color:#66d9ef>for</span>(<span style=color:#66d9ef>int</span> k <span style=color:#f92672>=</span> <span style=color:#ae81ff>1</span>; k <span style=color:#f92672>&lt;</span> N; <span style=color:#f92672>++</span>k) {
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>85</span>        <span style=color:#a6e22e>scanf</span>(<span style=color:#e6db74>&#34;%d&#34;</span>, <span style=color:#f92672>&amp;</span>node);
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>86</span>        <span style=color:#a6e22e>assert</span>(<span style=color:#ae81ff>0</span> <span style=color:#f92672>&lt;=</span> node <span style=color:#f92672>&amp;&amp;</span> node <span style=color:#f92672>&lt;</span> N);
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>87</span>        parents<span style=color:#960050;background-color:#1e0010>\</span>[k<span style=color:#960050;background-color:#1e0010>\</span>] <span style=color:#f92672>=</span> node;
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>88</span>        tree.addNode(node, k);
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>89</span>        allowedColorsSize<span style=color:#960050;background-color:#1e0010>\</span>[k<span style=color:#960050;background-color:#1e0010>\</span>] <span style=color:#f92672>=</span> M;
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>90</span>    }
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>91</span>    <span style=color:#a6e22e>scanf</span>(<span style=color:#e6db74>&#34;%d&#34;</span>, <span style=color:#f92672>&amp;</span>C);
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>92</span>    <span style=color:#66d9ef>for</span>(<span style=color:#66d9ef>int</span> k <span style=color:#f92672>=</span> <span style=color:#ae81ff>0</span>; k <span style=color:#f92672>&lt;</span> C; <span style=color:#f92672>++</span>k) {
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>93</span>        <span style=color:#a6e22e>scanf</span>(<span style=color:#e6db74>&#34;%d%d&#34;</span>, <span style=color:#f92672>&amp;</span>node, <span style=color:#f92672>&amp;</span>prohibited);
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>94</span>        <span style=color:#a6e22e>assert</span>(<span style=color:#ae81ff>0</span> <span style=color:#f92672>&lt;=</span> node <span style=color:#f92672>&amp;&amp;</span> node <span style=color:#f92672>&lt;</span> N <span style=color:#f92672>&amp;&amp;</span> <span style=color:#ae81ff>0</span> <span style=color:#f92672>&lt;=</span> prohibited <span style=color:#f92672>&amp;&amp;</span> prohibited <span style=color:#f92672>&lt;</span> M);
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>95</span>        <span style=color:#a6e22e>if</span>(allowedColors<span style=color:#960050;background-color:#1e0010>\</span>[node<span style=color:#960050;background-color:#1e0010>\</span>]<span style=color:#960050;background-color:#1e0010>\</span>[prohibited<span style=color:#960050;background-color:#1e0010>\</span>]) { <span style=color:#75715e>//Checa que los nodos no se repitan ya que se pueden repetir
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span> <span style=color:#ae81ff>96</span>            allowedColors<span style=color:#960050;background-color:#1e0010>\</span>[node<span style=color:#960050;background-color:#1e0010>\</span>]<span style=color:#960050;background-color:#1e0010>\</span>[prohibited<span style=color:#960050;background-color:#1e0010>\</span>] <span style=color:#f92672>=</span> false;
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>97</span>            allowedColorsSize<span style=color:#960050;background-color:#1e0010>\</span>[node<span style=color:#960050;background-color:#1e0010>\</span>] <span style=color:#f92672>--</span>;
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>98</span>        }
-</span></span><span style=display:flex><span> <span style=color:#ae81ff>99</span>    }
-</span></span><span style=display:flex><span><span style=color:#ae81ff>100</span> }
-</span></span><span style=display:flex><span><span style=color:#ae81ff>101</span> 
-</span></span><span style=display:flex><span><span style=color:#ae81ff>102</span> <span style=color:#f92672>/</span><span style=color:#960050;background-color:#1e0010>\</span><span style=color:#f92672>*</span>Una busqueda en amplitud para <span style=color:#e6db74>&#34;linearizar el árbol&#34;</span><span style=color:#960050;background-color:#1e0010>\*/</span>
-</span></span><span style=display:flex><span><span style=color:#ae81ff>103</span> <span style=color:#66d9ef>void</span> orderNodes() {
-</span></span><span style=display:flex><span><span style=color:#ae81ff>104</span>     searchDepth.push(make<span style=color:#960050;background-color:#1e0010>\</span>_pair(<span style=color:#ae81ff>0</span>, <span style=color:#ae81ff>0</span>));
-</span></span><span style=display:flex><span><span style=color:#ae81ff>105</span>     <span style=color:#a6e22e>while</span>(<span style=color:#f92672>!</span>searchDepth.empty()) {
-</span></span><span style=display:flex><span><span style=color:#ae81ff>106</span>         pii value <span style=color:#f92672>=</span> searchDepth.front(); searchDepth.pop();
-</span></span><span style=display:flex><span><span style=color:#ae81ff>107</span>         nodesOrder.push<span style=color:#960050;background-color:#1e0010>\</span>_front(value.first);
-</span></span><span style=display:flex><span><span style=color:#ae81ff>108</span>         TR(tree.nodes<span style=color:#960050;background-color:#1e0010>\</span>[value.first<span style=color:#960050;background-color:#1e0010>\</span>], it) {
-</span></span><span style=display:flex><span><span style=color:#ae81ff>109</span>             searchDepth.push(make<span style=color:#960050;background-color:#1e0010>\</span>_pair(<span style=color:#960050;background-color:#1e0010>\</span><span style=color:#f92672>*</span>it, value.second <span style=color:#f92672>+</span> <span style=color:#ae81ff>1</span>));
-</span></span><span style=display:flex><span><span style=color:#ae81ff>110</span>         }
-</span></span><span style=display:flex><span><span style=color:#ae81ff>111</span>     }
-</span></span><span style=display:flex><span><span style=color:#ae81ff>112</span> }
-</span></span><span style=display:flex><span><span style=color:#ae81ff>113</span> 
-</span></span><span style=display:flex><span><span style=color:#ae81ff>114</span> <span style=color:#f92672>/</span><span style=color:#960050;background-color:#1e0010>\</span><span style=color:#f92672>*</span>Checa por cada nodo de mayor a menor en la linearizacion, los colores posibles por nodo que solo tiene un color posible<span style=color:#960050;background-color:#1e0010>\*/</span>
-</span></span><span style=display:flex><span><span style=color:#ae81ff>115</span> <span style=color:#66d9ef>void</span> enforceArc() {
-</span></span><span style=display:flex><span><span style=color:#ae81ff>116</span>     <span style=color:#a6e22e>TR</span>(nodesOrder, it) {
-</span></span><span style=display:flex><span><span style=color:#ae81ff>117</span>         <span style=color:#66d9ef>int</span> currNode <span style=color:#f92672>=</span> <span style=color:#960050;background-color:#1e0010>\</span><span style=color:#f92672>*</span>it;
-</span></span><span style=display:flex><span><span style=color:#ae81ff>118</span>         <span style=color:#66d9ef>int</span> parent <span style=color:#f92672>=</span> parents<span style=color:#960050;background-color:#1e0010>\</span>[<span style=color:#960050;background-color:#1e0010>\</span><span style=color:#f92672>*</span>it<span style=color:#960050;background-color:#1e0010>\</span>];
-</span></span><span style=display:flex><span><span style=color:#ae81ff>119</span>         <span style=color:#66d9ef>if</span>(currNode <span style=color:#f92672>!=</span> <span style=color:#ae81ff>0</span>) {
-</span></span><span style=display:flex><span><span style=color:#ae81ff>120</span>             <span style=color:#66d9ef>if</span>(allowedColorsSize<span style=color:#960050;background-color:#1e0010>\</span>[currNode<span style=color:#960050;background-color:#1e0010>\</span>] <span style=color:#f92672>==</span> <span style=color:#ae81ff>1</span> <span style=color:#f92672>||</span> allowedColorsSize<span style=color:#960050;background-color:#1e0010>\</span>[parent<span style=color:#960050;background-color:#1e0010>\</span>] <span style=color:#f92672>==</span> <span style=color:#ae81ff>1</span>) {
-</span></span><span style=display:flex><span><span style=color:#ae81ff>121</span>                 <span style=color:#66d9ef>if</span>(allowedColorsSize<span style=color:#960050;background-color:#1e0010>\</span>[parent<span style=color:#960050;background-color:#1e0010>\</span>] <span style=color:#f92672>==</span> <span style=color:#ae81ff>1</span>) {
-</span></span><span style=display:flex><span><span style=color:#ae81ff>122</span>                     swap(currNode, parent);
-</span></span><span style=display:flex><span><span style=color:#ae81ff>123</span>                 }
-</span></span><span style=display:flex><span><span style=color:#ae81ff>124</span>                 <span style=color:#66d9ef>int</span> color <span style=color:#f92672>=</span> validColor(currNode);
-</span></span><span style=display:flex><span><span style=color:#ae81ff>125</span>                 <span style=color:#75715e>//printf(&#34;%d %d %d\\n&#34;, currNode, parent, color);
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span><span style=color:#ae81ff>126</span>                 <span style=color:#66d9ef>if</span>(allowedColors<span style=color:#960050;background-color:#1e0010>\</span>[parent<span style=color:#960050;background-color:#1e0010>\</span>]<span style=color:#960050;background-color:#1e0010>\</span>[color<span style=color:#960050;background-color:#1e0010>\</span>]) {
-</span></span><span style=display:flex><span><span style=color:#ae81ff>127</span>                     allowedColors<span style=color:#960050;background-color:#1e0010>\</span>[parent<span style=color:#960050;background-color:#1e0010>\</span>]<span style=color:#960050;background-color:#1e0010>\</span>[color<span style=color:#960050;background-color:#1e0010>\</span>] <span style=color:#f92672>=</span> false;
-</span></span><span style=display:flex><span><span style=color:#ae81ff>128</span>                     allowedColorsSize<span style=color:#960050;background-color:#1e0010>\</span>[parent<span style=color:#960050;background-color:#1e0010>\</span>] <span style=color:#f92672>--</span>;
-</span></span><span style=display:flex><span><span style=color:#ae81ff>129</span>                 }
-</span></span><span style=display:flex><span><span style=color:#ae81ff>130</span>             }
-</span></span><span style=display:flex><span><span style=color:#ae81ff>131</span>         }
-</span></span><span style=display:flex><span><span style=color:#ae81ff>132</span>         <span style=color:#75715e>//Si no hay colores posibles, no se puede resolver el mapa
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span><span style=color:#ae81ff>133</span>         <span style=color:#66d9ef>if</span>(allowedColorsSize<span style=color:#960050;background-color:#1e0010>\</span>[currNode<span style=color:#960050;background-color:#1e0010>\</span>] <span style=color:#f92672>&lt;=</span> <span style=color:#ae81ff>0</span>) {
-</span></span><span style=display:flex><span><span style=color:#ae81ff>134</span>             printf(<span style=color:#e6db74>&#34;-1</span><span style=color:#ae81ff>\\</span><span style=color:#e6db74>n&#34;</span>);
-</span></span><span style=display:flex><span><span style=color:#ae81ff>135</span>             exit(<span style=color:#ae81ff>0</span>);
-</span></span><span style=display:flex><span><span style=color:#ae81ff>136</span>         }
-</span></span><span style=display:flex><span><span style=color:#ae81ff>137</span>     }
-</span></span><span style=display:flex><span><span style=color:#ae81ff>138</span>     <span style=color:#75715e>//Checa de nuevo si alguno de los colores no puede ser
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span><span style=color:#ae81ff>139</span>     <span style=color:#66d9ef>for</span>(<span style=color:#66d9ef>int</span> k <span style=color:#f92672>=</span> <span style=color:#ae81ff>0</span>; k <span style=color:#f92672>&lt;</span> N; <span style=color:#f92672>++</span>k) {
-</span></span><span style=display:flex><span><span style=color:#ae81ff>140</span>         <span style=color:#a6e22e>if</span>(allowedColorsSize<span style=color:#960050;background-color:#1e0010>\</span>[k<span style=color:#960050;background-color:#1e0010>\</span>] <span style=color:#f92672>==</span> <span style=color:#ae81ff>0</span>) {
-</span></span><span style=display:flex><span><span style=color:#ae81ff>141</span>             printf(<span style=color:#e6db74>&#34;-1</span><span style=color:#ae81ff>\\</span><span style=color:#e6db74>n&#34;</span>);
-</span></span><span style=display:flex><span><span style=color:#ae81ff>142</span>             exit(<span style=color:#ae81ff>0</span>);
-</span></span><span style=display:flex><span><span style=color:#ae81ff>143</span>         }
-</span></span><span style=display:flex><span><span style=color:#ae81ff>144</span>     }
-</span></span><span style=display:flex><span><span style=color:#ae81ff>145</span> }
-</span></span><span style=display:flex><span><span style=color:#ae81ff>146</span> 
-</span></span><span style=display:flex><span><span style=color:#ae81ff>147</span> <span style=color:#75715e>//Hace un ciclo checando el menor color posible por nodo e imprime los colores menores
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span><span style=color:#ae81ff>148</span> <span style=color:#66d9ef>void</span> findSolution() {
-</span></span><span style=display:flex><span><span style=color:#ae81ff>149</span>     colorAssigned<span style=color:#960050;background-color:#1e0010>\</span>[<span style=color:#ae81ff>0</span><span style=color:#960050;background-color:#1e0010>\</span>] <span style=color:#f92672>=</span> <span style=color:#f92672>-</span><span style=color:#ae81ff>1</span>;
-</span></span><span style=display:flex><span><span style=color:#ae81ff>150</span>     list<span style=color:#f92672>&lt;</span><span style=color:#66d9ef>int</span><span style=color:#960050;background-color:#1e0010>\</span><span style=color:#f92672>&gt;::</span>iterator it <span style=color:#f92672>=</span> nodesOrder.end();
-</span></span><span style=display:flex><span><span style=color:#ae81ff>151</span>     <span style=color:#66d9ef>do</span> {
-</span></span><span style=display:flex><span><span style=color:#ae81ff>152</span>         it <span style=color:#f92672>--</span>;
-</span></span><span style=display:flex><span><span style=color:#ae81ff>153</span>         <span style=color:#a6e22e>assert</span>(<span style=color:#ae81ff>0</span> <span style=color:#f92672>&lt;=</span> <span style=color:#960050;background-color:#1e0010>\</span><span style=color:#f92672>*</span>it <span style=color:#f92672>&amp;&amp;</span> <span style=color:#960050;background-color:#1e0010>\</span><span style=color:#f92672>*</span>it <span style=color:#f92672>&lt;</span> N);
-</span></span><span style=display:flex><span><span style=color:#ae81ff>154</span>         <span style=color:#66d9ef>int</span> color <span style=color:#f92672>=</span> validColor(<span style=color:#960050;background-color:#1e0010>\</span><span style=color:#f92672>*</span>it);
-</span></span><span style=display:flex><span><span style=color:#ae81ff>155</span>         <span style=color:#a6e22e>if</span>(colorAssigned<span style=color:#960050;background-color:#1e0010>\</span>[parents<span style=color:#960050;background-color:#1e0010>\</span>[<span style=color:#960050;background-color:#1e0010>\</span><span style=color:#f92672>*</span>it<span style=color:#960050;background-color:#1e0010>\</span>]<span style=color:#960050;background-color:#1e0010>\</span>] <span style=color:#f92672>==</span> color) {
-</span></span><span style=display:flex><span><span style=color:#ae81ff>156</span>             color <span style=color:#f92672>=</span> validColor(<span style=color:#960050;background-color:#1e0010>\</span><span style=color:#f92672>*</span>it, color);
-</span></span><span style=display:flex><span><span style=color:#ae81ff>157</span>         }
-</span></span><span style=display:flex><span><span style=color:#ae81ff>158</span>         <span style=color:#a6e22e>assert</span>(<span style=color:#ae81ff>0</span> <span style=color:#f92672>&lt;=</span> color <span style=color:#f92672>&amp;&amp;</span> color <span style=color:#f92672>&lt;</span> M);
-</span></span><span style=display:flex><span><span style=color:#ae81ff>159</span>         colorAssigned<span style=color:#960050;background-color:#1e0010>\</span>[<span style=color:#960050;background-color:#1e0010>\</span><span style=color:#f92672>*</span>it<span style=color:#960050;background-color:#1e0010>\</span>] <span style=color:#f92672>=</span> color;
-</span></span><span style=display:flex><span><span style=color:#ae81ff>160</span>     } <span style=color:#66d9ef>while</span>(it <span style=color:#f92672>!=</span> nodesOrder.begin()) ;
-</span></span><span style=display:flex><span><span style=color:#ae81ff>161</span> 
-</span></span><span style=display:flex><span><span style=color:#ae81ff>162</span>    <span style=color:#66d9ef>for</span>(<span style=color:#66d9ef>int</span> k <span style=color:#f92672>=</span> <span style=color:#ae81ff>0</span>; k <span style=color:#f92672>&lt;</span> N; <span style=color:#f92672>++</span>k) {
-</span></span><span style=display:flex><span><span style=color:#ae81ff>163</span>        <span style=color:#a6e22e>printf</span>(<span style=color:#e6db74>&#34;%d</span><span style=color:#ae81ff>\\</span><span style=color:#e6db74>n&#34;</span>, colorAssigned<span style=color:#960050;background-color:#1e0010>\</span>[k<span style=color:#960050;background-color:#1e0010>\</span>]);
-</span></span><span style=display:flex><span><span style=color:#ae81ff>164</span>    }
-</span></span><span style=display:flex><span><span style=color:#ae81ff>165</span> }
-</span></span><span style=display:flex><span><span style=color:#ae81ff>166</span> 
-</span></span><span style=display:flex><span><span style=color:#ae81ff>167</span> <span style=color:#66d9ef>int</span> <span style=color:#a6e22e>main</span>() {
-</span></span><span style=display:flex><span><span style=color:#ae81ff>168</span>     read();
-</span></span><span style=display:flex><span><span style=color:#ae81ff>169</span>     orderNodes();
-</span></span><span style=display:flex><span><span style=color:#ae81ff>170</span>     enforceArc();
-</span></span><span style=display:flex><span><span style=color:#ae81ff>171</span>     findSolution();
-</span></span><span style=display:flex><span><span style=color:#ae81ff>172</span>     <span style=color:#66d9ef>return</span> <span style=color:#ae81ff>0</span>;
-</span></span><span style=display:flex><span><span style=color:#ae81ff>173</span> }</span></span></code></pre></div></div><div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0"><button class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50" title="Copiar código"><div class="copy-icon group-[.copied]/copybtn:hx-hidden hx-pointer-events-none hx-h-4 hx-w-4"></div><div class="success-icon hx-hidden group-[.copied]/copybtn:hx-block hx-pointer-events-none hx-h-4 hx-w-4"></div></button></div></div></div><div class=hx-mt-16></div></main></article></div><footer class="hextra-footer hx-bg-gray-100 hx-pb-[env(safe-area-inset-bottom)] dark:hx-bg-neutral-900 print:hx-bg-transparent"><div class="hx-mx-auto hx-flex hx-gap-2 hx-py-2 hx-px-4 hx-max-w-screen-xl"><button title="Cambiar tema" data-theme=light class="theme-toggle hx-group hx-h-7 hx-rounded-md hx-px-2 hx-text-left hx-text-xs hx-font-medium hx-text-gray-600 hx-transition-colors dark:hx-text-gray-400 hover:hx-bg-gray-100 hover:hx-text-gray-900 dark:hover:hx-bg-primary-100/5 dark:hover:hx-text-gray-50" type=button aria-label="Cambiar tema"><div class="hx-flex hx-items-center hx-gap-2 hx-capitalize"><svg height="12" class="group-data-[theme=light]:hx-hidden" fill="none" viewBox="0 0 24 24" stroke-width="2" stroke="currentcolor" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" d="M12 3v1m0 16v1m9-9h-1M4 12H3m15.364 6.364-.707-.707M6.343 6.343l-.707-.707m12.728.0-.707.707M6.343 17.657l-.707.707M16 12a4 4 0 11-8 0 4 4 0 018 0z"/></svg><span class="group-data-[theme=light]:hx-hidden">Modo claro</span><svg height="12" class="group-data-[theme=dark]:hx-hidden" fill="none" viewBox="0 0 24 24" stroke-width="2" stroke="currentcolor" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" d="M20.354 15.354A9 9 0 018.646 3.646 9.003 9.003.0 0012 21a9.003 9.003.0 008.354-5.646z"/></svg><span class="group-data-[theme=dark]:hx-hidden">Modo oscuro</span></div></button></div><hr class=dark:hx-border-neutral-800><div class="hx-max-w-screen-xl hx-mx-auto hx-flex hx-justify-center hx-py-12 hx-pl-[max(env(safe-area-inset-left),1.5rem)] hx-pr-[max(env(safe-area-inset-right),1.5rem)] hx-text-gray-600 dark:hx-text-gray-400 md:hx-justify-start"><div class="hx-flex hx-w-full hx-flex-col hx-items-center sm:hx-items-start"><div class="hx-mt-6 hx-text-xs">Derechos reservados omegaUp © 2024.</div></div></div></footer><script defer src=/js/main.min.d0f0346255ba9418db8fcf7f9440ca4e532e06276d8df17497e19e1045ee360b.js integrity="sha256-0PA0YlW6lBjbj89/lEDKTlMuBidtjfF0l+GeEEXuNgs="></script><script defer src=/lib/flexsearch/flexsearch.bundle.min.e45e7eb129aae9f684e7f863bb7c1d612ea124b7068e12af80c58c62764a5379.js integrity="sha256-5F5+sSmq6faE5/hju3wdYS6hJLcGjhKvgMWMYnZKU3k="></script><script defer src=/es.search.min.22b690999814062b6c1f520ab1382c4b2dee00893bf5dea1e0d0415986c85591.js integrity="sha256-IraQmZgUBitsH1IKsTgsSy3uAIk79d6h4NBBWYbIVZE="></script></body></html>
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+<span>Ir al inicio</span><svg fill="none" viewBox="0 0 24 24" stroke-width="1.5" stroke="currentcolor" class="hx-inline ltr:hx-ml-1 rtl:hx-mr-1 hx-h-3.5 hx-w-3.5 hx-border hx-rounded-full hx-border-gray-500 hover:hx-border-gray-900 dark:hx-border-gray-400 dark:hover:hx-border-gray-100 contrast-more:hx-border-gray-800 contrast-more:dark:hx-border-gray-50"><path stroke-linecap="round" stroke-linejoin="round" d="M4.5 15.75l7.5-7.5 7.5 7.5"/></svg></button></div></div></nav><article class="hx-w-full hx-break-words hx-flex hx-min-h-[calc(100vh-var(--navbar-height))] hx-min-w-0 hx-justify-center hx-pb-8 hx-pr-[calc(env(safe-area-inset-right)-1.5rem)]"><main class="hx-w-full hx-min-w-0 hx-max-w-6xl hx-px-6 hx-pt-4 md:hx-px-12"><br class="hx-mt-1.5 hx-text-sm"><h1 class="hx-text-center hx-mt-2 hx-text-4xl hx-font-bold hx-tracking-tight hx-text-slate-900 dark:hx-text-slate-100">Solución a "K-Arbol"</h1><div class=hx-mb-16></div><div class=content><p><strong>Concurso:</strong> <a href=https://omegaup.com/arena/IOI2013E1P5 target=_blank rel=noopener>Preselectivo para la IOI 2013, Etapa 1, Examen 5</a> **Autor: **<a href=mailto:lkt345@gmail.com>Saul de Nova Caballero</a></p><p>En pocas palabras el problema es, dado un árbol que se puede colorear, encuentra la menor solución satisfaciendo las restricciones dadas sobre los colores. Este problema es un caso particular de Graph Coloring(en español coloración de grafos), en donde el grafo es un árbol.</p><h1>Subcaso 1(10 puntos)</h1><p>Para el primer subcaso era posible hacer una búsqueda en profunidad sobre todos los nodos, encontrando la menor solución. Para guardar el árbol, era posible utilizar una matriz que guardara todos los colores posibles y entonces ver si era posible una solución con el menor color posible. La solución de este caso era trivial si se usaba una búsqueda exhaustiva.</p><h1>Subcaso 2(20 puntos)</h1><p>Para el segundo subcaso era necesario una mejor estrategia. Para este caso, era necesaria la observación de que todos los colores de los nodos solo dependen de su padre y de sus hijos. Otra observación importante era que para los nodos del árbol, excepto las hojas, había que procesar a sus hijos menores.Procesar implica checar que colores puede tener un nodo. Por lo que para lograr los puntos en este subcaso era necesario procesar los nodos hijos, luego sus padres y asi sucesivamente. Es decir para procesar, un nodo primero hay que procesar a todos sus hijos.</p><p>La forma de procesar a un nodo es la siguiente. Por cada nodo se compara con su padre y al momento de comparar, lo que se busca es que por cada color del nodo, el padre no tenga un color que lo elimine como opción. Es decir tengo el siguiente caso</p><p>Nodo -> Rojo, Verde, Azul</p><p>Padre -> Rojo, Verde</p><p>Por cada color del nodo, el padre puede elegir un color distinto. Por ejemplo, si el Nodo es Rojo, el padre puede ser Verde. Si el nodo es Verde, el padre puede ser Rojo y si el nodo es Azul, puedes elegir el Rojo o el Verde. Sin embargo, para el siguiente caso</p><p>Nodo -> Rojo, Verde, Azul</p><p>Padre -> Rojo</p><p>El padre del nodo solo puede ser Rojo, por lo que para que las condiciones del problema se cumplan, el Nodo no puede ser Rojo. En este caso actualizamos la tabla de valores posibles del Nodo. Y queda como</p><p>Nodo -> Verde, Azul</p><p>Padre -> Rojo</p><p>Lo anterior se hace para cada par de nodos desde los nodos hoja hasta la raíz. Procesandolos de menor a mayor da la mejor solución</p><h1>Subcaso 3(20 puntos)</h1><p>Para obtener los puntos del subcaso 3 era posible simplemente ver por cada nodo procesarlo comenzando en la raíz, ya que en este caso el grafo en basicamente una gran línea. Utilizando la técnica descrita en el subcaso 2 por cada nodo se obtenía una solución a este subcaso</p><h1>Subcaso 4(50 puntos)</h1><p>Para los puntos del cuarto caso era necesario &ldquo;linearizar&rdquo; el grafo, esto simplemente significa que los nodos mas arriba van a tener menor prioridad que los nodos de abajo, es decir el nodo raíz tendría valor 0 mientras que sus hijos tendrían valores más altos. Por ejemplo para un caso asi:</p><p>0 -> 1 -> 4</p><p>-> 2</p><p>-> 3</p><p>El nodo 0 es la raíz del árbol, el nodo 1 y 3 son hijos de 0 y los nodos 2 y 4 son hijos de 1, el arbol se linearizaría de la siguiente manera:</p><p>0 -> 1, 1 -> 2, 3 -> 3, 4 -> 4, 2 -> 5</p><p>Ahora lo que es necesario hacer es por cada nodo de mayor prioridad a los de menor prioridad es necesario hacer la técnica explicada en el subcaso 2.Tomando en cuenta otra observación. Que solo es necesario procesar los nodos que solo tengan un color. Es decir si el nodo 0 tiene posibilidad de ser Rojo, Azul o Verde, no es necesario procesarlo. Sin embargo si un nodo solo puede ser azul, hay que eliminar esa posiblidad tanto de su padre como de sus hijos.</p><p><img src=/images/linearizar.jpg alt loading=lazy></p><p>Imagen obtenida de <a href=http://aima.cs.berkeley.edu/newchap05.pdf target=_blank rel=noopener>http://aima.cs.berkeley.edu/newchap05.pdf</a></p><div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code"><div><div class=highlight><pre tabindex=0 class=chroma><code class=language-cpp data-lang=cpp><span class=line><span class=cl> <span class=mi>1</span> <span class=c1>// karbol100.cpp
+</span></span></span><span class=line><span class=cl><span class=c1></span> <span class=mi>2</span> <span class=c1>// By Saul de Nova Caballero
+</span></span></span><span class=line><span class=cl><span class=c1></span> <span class=mi>3</span> 
+</span></span><span class=line><span class=cl> <span class=mi>4</span> <span class=c1>//Librerias de la standard template library de c++(stl)
+</span></span></span><span class=line><span class=cl><span class=c1></span> <span class=mi>5</span> <span class=err>#</span><span class=n>include</span> <span class=o>&lt;</span><span class=n>algorithm</span><span class=o>&gt;</span>
+</span></span><span class=line><span class=cl> <span class=mi>6</span> <span class=err>#</span><span class=n>include</span> <span class=o>&lt;</span><span class=n>cassert</span><span class=o>&gt;</span>
+</span></span><span class=line><span class=cl> <span class=mi>7</span> <span class=err>#</span><span class=n>include</span> <span class=o>&lt;</span><span class=n>cstdio</span><span class=o>&gt;</span>
+</span></span><span class=line><span class=cl> <span class=mi>8</span> <span class=err>#</span><span class=n>include</span> <span class=o>&lt;</span><span class=n>cstdlib</span><span class=o>&gt;</span>
+</span></span><span class=line><span class=cl> <span class=mi>9</span> <span class=err>#</span><span class=n>include</span> <span class=o>&lt;</span><span class=n>cstring</span><span class=o>&gt;</span>
+</span></span><span class=line><span class=cl> <span class=mi>10</span> <span class=err>#</span><span class=n>include</span> <span class=o>&lt;</span><span class=n>iostream</span><span class=o>&gt;</span>
+</span></span><span class=line><span class=cl> <span class=mi>11</span> <span class=err>#</span><span class=n>include</span> <span class=o>&lt;</span><span class=n>list</span><span class=o>&gt;</span>
+</span></span><span class=line><span class=cl> <span class=mi>12</span> <span class=err>#</span><span class=n>include</span> <span class=o>&lt;</span><span class=n>utility</span><span class=o>&gt;</span>
+</span></span><span class=line><span class=cl> <span class=mi>13</span> 
+</span></span><span class=line><span class=cl> <span class=mi>14</span> <span class=k>using</span> <span class=k>namespace</span> <span class=n>std</span><span class=p>;</span>
+</span></span><span class=line><span class=cl> <span class=mi>15</span> 
+</span></span><span class=line><span class=cl> <span class=mi>16</span> <span class=c1>//Iterador sobre estructuras de datos. En este caso listas de la stl
+</span></span></span><span class=line><span class=cl><span class=c1></span> <span class=mi>17</span> <span class=err>#</span><span class=n>define</span> <span class=n>TR</span><span class=p>(</span><span class=n>container</span><span class=p>,</span> <span class=n>it</span><span class=p>)</span> <span class=err>\</span>\
+</span></span><span class=line><span class=cl> <span class=mi>18</span> <span class=k>for</span><span class=p>(</span><span class=n>typeof</span><span class=p>(</span><span class=n>container</span><span class=p>.</span><span class=n>begin</span><span class=p>())</span> <span class=n>it</span> <span class=o>=</span> <span class=n>container</span><span class=p>.</span><span class=n>begin</span><span class=p>()</span> <span class=p>;</span> <span class=n>it</span> <span class=o>!=</span> <span class=n>container</span><span class=p>.</span><span class=n>end</span><span class=p>()</span> <span class=p>;</span> <span class=o>++</span><span class=n>it</span><span class=p>)</span>
+</span></span><span class=line><span class=cl> <span class=mi>19</span> 
+</span></span><span class=line><span class=cl> <span class=mi>20</span> <span class=c1>//Definicion de un par de la stl
+</span></span></span><span class=line><span class=cl><span class=c1></span> <span class=mi>21</span> <span class=k>typedef</span> <span class=n>pair</span><span class=o>&lt;</span><span class=kt>int</span><span class=p>,</span> <span class=kt>int</span><span class=err>\</span><span class=o>&gt;</span> <span class=n>pii</span><span class=p>;</span>
+</span></span><span class=line><span class=cl> <span class=mi>22</span> 
+</span></span><span class=line><span class=cl> <span class=mi>23</span> <span class=c1>//Constantes del programa
+</span></span></span><span class=line><span class=cl><span class=c1></span> <span class=mi>24</span> <span class=k>const</span> <span class=kt>int</span> <span class=n>MAXN</span> <span class=o>=</span> <span class=mi>10002</span><span class=p>;</span>
+</span></span><span class=line><span class=cl> <span class=mi>25</span> <span class=k>const</span> <span class=kt>int</span> <span class=n>MAXM</span> <span class=o>=</span> <span class=mi>502</span><span class=p>;</span>
+</span></span><span class=line><span class=cl> <span class=mi>26</span> <span class=k>const</span> <span class=kt>int</span> <span class=n>MAXMEM</span> <span class=o>=</span> <span class=mi>2</span><span class=err>\</span><span class=o>*</span><span class=n>MAXN</span><span class=p>;</span>
+</span></span><span class=line><span class=cl> <span class=mi>27</span> 
+</span></span><span class=line><span class=cl> <span class=mi>28</span> <span class=c1>//Clase para definir los hijos del arbol
+</span></span></span><span class=line><span class=cl><span class=c1></span> <span class=mi>29</span> <span class=c1>//Es una lista con todos los hijos de cada nodo
+</span></span></span><span class=line><span class=cl><span class=c1></span> <span class=mi>30</span> <span class=k>class</span> <span class=nc>Graph</span> <span class=p>{</span>
+</span></span><span class=line><span class=cl> <span class=mi>31</span>    <span class=k>public</span> <span class=o>:</span>
+</span></span><span class=line><span class=cl> <span class=mi>32</span>    <span class=kt>void</span> <span class=n>addNode</span><span class=p>(</span><span class=kt>int</span> <span class=n>node</span><span class=p>,</span> <span class=kt>int</span> <span class=n>value</span><span class=p>)</span> <span class=p>{</span>
+</span></span><span class=line><span class=cl> <span class=mi>33</span>        <span class=n>nodes</span><span class=err>\</span><span class=p>[</span><span class=n>node</span><span class=err>\</span><span class=p>].</span><span class=n>push</span><span class=err>\</span><span class=n>_back</span><span class=p>(</span><span class=n>value</span><span class=p>);</span>
+</span></span><span class=line><span class=cl> <span class=mi>34</span>    <span class=p>}</span>
+</span></span><span class=line><span class=cl> <span class=mi>35</span>    <span class=n>list</span><span class=o>&lt;</span><span class=kt>int</span><span class=err>\</span><span class=o>&gt;</span> <span class=n>nodes</span><span class=err>\</span><span class=p>[</span><span class=n>MAXN</span><span class=err>\</span><span class=p>];</span>
+</span></span><span class=line><span class=cl> <span class=mi>36</span> <span class=p>};</span>
+</span></span><span class=line><span class=cl> <span class=mi>37</span> 
+</span></span><span class=line><span class=cl> <span class=mi>38</span> <span class=c1>//Clase para cola de las busquedas en amplitud
+</span></span></span><span class=line><span class=cl><span class=c1></span> <span class=mi>39</span> <span class=c1>//Es de tipo generica
+</span></span></span><span class=line><span class=cl><span class=c1></span> <span class=mi>40</span> <span class=k>template</span><span class=o>&lt;</span><span class=k>class</span> <span class=nc>T</span><span class=o>&gt;</span>
+</span></span><span class=line><span class=cl> <span class=mi>41</span> <span class=k>class</span> <span class=nc>Queue</span> <span class=p>{</span>
+</span></span><span class=line><span class=cl> <span class=mi>42</span>    <span class=k>public</span> <span class=o>:</span>
+</span></span><span class=line><span class=cl> <span class=mi>43</span>    <span class=n>Queue</span><span class=p>()</span> <span class=p>{</span> <span class=n>init</span><span class=p>();</span> <span class=p>}</span>
+</span></span><span class=line><span class=cl> <span class=mi>44</span>    <span class=kt>void</span> <span class=nf>init</span><span class=p>()</span> <span class=p>{</span> <span class=n>p1</span> <span class=o>=</span> <span class=mi>0</span><span class=p>;</span> <span class=n>p2</span> <span class=o>=</span> <span class=mi>1</span><span class=p>;</span> <span class=p>}</span>
+</span></span><span class=line><span class=cl> <span class=mi>45</span>    <span class=kt>void</span> <span class=nf>push</span><span class=p>(</span><span class=n>T</span> <span class=n>val</span><span class=p>)</span> <span class=p>{</span> <span class=n>memory</span><span class=err>\</span><span class=p>[</span><span class=o>++</span><span class=n>p1</span><span class=err>\</span><span class=p>]</span> <span class=o>=</span> <span class=n>val</span><span class=p>;</span> <span class=p>}</span>
+</span></span><span class=line><span class=cl> <span class=mi>46</span>    <span class=n>T</span> <span class=nf>front</span><span class=p>()</span> <span class=p>{</span> <span class=k>return</span> <span class=n>memory</span><span class=err>\</span><span class=p>[</span><span class=n>p2</span><span class=err>\</span><span class=p>];</span> <span class=p>}</span>
+</span></span><span class=line><span class=cl> <span class=mi>47</span>    <span class=kt>void</span> <span class=nf>pop</span><span class=p>()</span> <span class=p>{</span> <span class=n>p2</span><span class=o>++</span><span class=p>;</span> <span class=p>}</span>
+</span></span><span class=line><span class=cl> <span class=mi>48</span>    <span class=kt>bool</span> <span class=nf>empty</span><span class=p>()</span> <span class=p>{</span> <span class=k>return</span> <span class=p>(</span><span class=n>p1</span> <span class=o>&lt;</span> <span class=n>p2</span><span class=p>);</span> <span class=p>}</span>
+</span></span><span class=line><span class=cl> <span class=mi>49</span> 
+</span></span><span class=line><span class=cl> <span class=mi>50</span>    <span class=k>private</span> <span class=o>:</span>
+</span></span><span class=line><span class=cl> <span class=mi>51</span>    <span class=kt>int</span> <span class=n>p1</span><span class=p>,</span> <span class=n>p2</span><span class=p>;</span>
+</span></span><span class=line><span class=cl> <span class=mi>52</span>    <span class=n>T</span> <span class=n>memory</span><span class=err>\</span><span class=p>[</span><span class=n>MAXMEM</span><span class=err>\</span><span class=p>];</span>
+</span></span><span class=line><span class=cl> <span class=mi>53</span> <span class=p>};</span>
+</span></span><span class=line><span class=cl> <span class=mi>54</span> 
+</span></span><span class=line><span class=cl> <span class=mi>55</span> <span class=c1>//Definicion de todas las variables del programa
+</span></span></span><span class=line><span class=cl><span class=c1></span> <span class=mi>56</span> <span class=kt>int</span> <span class=n>N</span><span class=p>,</span> <span class=n>M</span><span class=p>,</span> <span class=n>C</span><span class=p>,</span> <span class=c1>//Variables dadas
+</span></span></span><span class=line><span class=cl><span class=c1></span> <span class=mi>57</span>    <span class=n>allowedColorsSize</span><span class=err>\</span><span class=p>[</span><span class=n>MAXN</span><span class=err>\</span><span class=p>],</span> <span class=c1>//La cantidad de colores posibles por nodo
+</span></span></span><span class=line><span class=cl><span class=c1></span> <span class=mi>58</span>    <span class=n>parents</span><span class=err>\</span><span class=p>[</span><span class=n>MAXN</span><span class=err>\</span><span class=p>],</span> <span class=c1>//El padre de cada nodo
+</span></span></span><span class=line><span class=cl><span class=c1></span> <span class=mi>59</span>    <span class=n>colorAssigned</span><span class=err>\</span><span class=p>[</span><span class=n>MAXN</span><span class=err>\</span><span class=p>];</span> <span class=c1>//El color que le asigne al final al nodo
+</span></span></span><span class=line><span class=cl><span class=c1></span> <span class=mi>60</span> <span class=kt>bool</span> <span class=n>allowedColors</span><span class=err>\</span><span class=p>[</span><span class=n>MAXN</span><span class=err>\</span><span class=p>]</span><span class=err>\</span><span class=p>[</span><span class=n>MAXM</span><span class=err>\</span><span class=p>];</span> <span class=c1>//Una matriz con todos los colores posibles por cada nodo
+</span></span></span><span class=line><span class=cl><span class=c1></span> <span class=mi>61</span> <span class=n>list</span><span class=o>&lt;</span><span class=kt>int</span><span class=err>\</span><span class=o>&gt;</span> <span class=n>nodesOrder</span><span class=p>;</span> <span class=c1>//Una lista ordenada de mayor a menor por la profundidad de cada nodo
+</span></span></span><span class=line><span class=cl><span class=c1></span> <span class=mi>62</span> <span class=n>Graph</span> <span class=n>tree</span><span class=p>;</span> <span class=c1>//Mi arbol
+</span></span></span><span class=line><span class=cl><span class=c1></span> <span class=mi>63</span> <span class=n>Queue</span><span class=o>&lt;</span><span class=n>pii</span><span class=o>&gt;</span> <span class=n>searchDepth</span><span class=p>;</span> <span class=c1>//Una cola para la busqueda
+</span></span></span><span class=line><span class=cl><span class=c1></span> <span class=mi>64</span> 
+</span></span><span class=line><span class=cl> <span class=mi>65</span> <span class=c1>//Regresa el color valido por cada nodo permitiendo que un nodo no sea de un color
+</span></span></span><span class=line><span class=cl><span class=c1></span> <span class=mi>66</span> <span class=kt>int</span> <span class=n>validColor</span><span class=p>(</span><span class=kt>int</span> <span class=n>node</span><span class=p>,</span> <span class=kt>int</span> <span class=n>constraint</span> <span class=o>=</span> <span class=o>-</span><span class=mi>1</span><span class=p>)</span> <span class=p>{</span>
+</span></span><span class=line><span class=cl> <span class=mi>67</span>    <span class=k>for</span><span class=p>(</span><span class=kt>int</span> <span class=n>i</span> <span class=o>=</span> <span class=mi>0</span><span class=p>;</span> <span class=n>i</span> <span class=o>&lt;</span> <span class=n>M</span><span class=p>;</span> <span class=o>++</span><span class=n>i</span><span class=p>)</span> <span class=p>{</span>
+</span></span><span class=line><span class=cl> <span class=mi>68</span>        <span class=nf>if</span><span class=p>(</span><span class=n>allowedColors</span><span class=err>\</span><span class=p>[</span><span class=n>node</span><span class=err>\</span><span class=p>]</span><span class=err>\</span><span class=p>[</span><span class=n>i</span><span class=err>\</span><span class=p>]</span> <span class=o>&amp;&amp;</span> <span class=n>constraint</span> <span class=o>!=</span> <span class=n>i</span><span class=p>)</span> <span class=p>{</span>
+</span></span><span class=line><span class=cl> <span class=mi>69</span>            <span class=k>return</span> <span class=n>i</span><span class=p>;</span>
+</span></span><span class=line><span class=cl> <span class=mi>70</span>        <span class=p>}</span>
+</span></span><span class=line><span class=cl> <span class=mi>71</span>    <span class=p>}</span>
+</span></span><span class=line><span class=cl> <span class=mi>72</span>    <span class=k>return</span> <span class=o>-</span><span class=mi>1</span><span class=p>;</span>
+</span></span><span class=line><span class=cl> <span class=mi>73</span> <span class=p>}</span>
+</span></span><span class=line><span class=cl> <span class=mi>74</span> 
+</span></span><span class=line><span class=cl> <span class=mi>75</span> <span class=c1>//Funcion para la lectura de todas las variables y la inicializacion de las estructuras
+</span></span></span><span class=line><span class=cl><span class=c1></span> <span class=mi>76</span> <span class=c1>//Los asserts son para probar que el codigo es correcto
+</span></span></span><span class=line><span class=cl><span class=c1></span> <span class=mi>77</span> <span class=o>/</span><span class=err>\</span><span class=o>*</span><span class=n>Guarda</span> <span class=n>en</span> <span class=n>allowedColors</span> <span class=n>los</span> <span class=n>posibles</span> <span class=n>colores</span> <span class=n>por</span> <span class=n>nodo</span> <span class=n>en</span> <span class=n>una</span> <span class=n>matriz</span><span class=err>\*/</span>
+</span></span><span class=line><span class=cl> <span class=mi>78</span> <span class=kt>void</span> <span class=n>read</span><span class=p>()</span> <span class=p>{</span>
+</span></span><span class=line><span class=cl> <span class=mi>79</span>    <span class=kt>int</span> <span class=n>node</span><span class=p>,</span> <span class=n>prohibited</span><span class=p>;</span>
+</span></span><span class=line><span class=cl> <span class=mi>80</span>    <span class=nf>scanf</span><span class=p>(</span><span class=s>&#34;%d%d&#34;</span><span class=p>,</span> <span class=o>&amp;</span><span class=n>N</span><span class=p>,</span> <span class=o>&amp;</span><span class=n>M</span><span class=p>);</span>
+</span></span><span class=line><span class=cl> <span class=mi>81</span>    <span class=nf>assert</span><span class=p>(</span><span class=mi>1</span> <span class=o>&lt;=</span> <span class=n>N</span> <span class=o>&amp;&amp;</span> <span class=n>N</span> <span class=o>&lt;=</span> <span class=n>MAXN</span><span class=o>-</span><span class=mi>2</span><span class=p>);</span>
+</span></span><span class=line><span class=cl> <span class=mi>82</span>    <span class=n>allowedColorsSize</span><span class=err>\</span><span class=p>[</span><span class=mi>0</span><span class=err>\</span><span class=p>]</span> <span class=o>=</span> <span class=n>M</span><span class=p>;</span>
+</span></span><span class=line><span class=cl> <span class=mi>83</span>    <span class=nf>memset</span><span class=p>(</span><span class=n>allowedColors</span><span class=p>,</span> <span class=nb>true</span><span class=p>,</span> <span class=k>sizeof</span><span class=p>(</span><span class=n>allowedColors</span><span class=p>));</span>
+</span></span><span class=line><span class=cl> <span class=mi>84</span>    <span class=k>for</span><span class=p>(</span><span class=kt>int</span> <span class=n>k</span> <span class=o>=</span> <span class=mi>1</span><span class=p>;</span> <span class=n>k</span> <span class=o>&lt;</span> <span class=n>N</span><span class=p>;</span> <span class=o>++</span><span class=n>k</span><span class=p>)</span> <span class=p>{</span>
+</span></span><span class=line><span class=cl> <span class=mi>85</span>        <span class=nf>scanf</span><span class=p>(</span><span class=s>&#34;%d&#34;</span><span class=p>,</span> <span class=o>&amp;</span><span class=n>node</span><span class=p>);</span>
+</span></span><span class=line><span class=cl> <span class=mi>86</span>        <span class=nf>assert</span><span class=p>(</span><span class=mi>0</span> <span class=o>&lt;=</span> <span class=n>node</span> <span class=o>&amp;&amp;</span> <span class=n>node</span> <span class=o>&lt;</span> <span class=n>N</span><span class=p>);</span>
+</span></span><span class=line><span class=cl> <span class=mi>87</span>        <span class=n>parents</span><span class=err>\</span><span class=p>[</span><span class=n>k</span><span class=err>\</span><span class=p>]</span> <span class=o>=</span> <span class=n>node</span><span class=p>;</span>
+</span></span><span class=line><span class=cl> <span class=mi>88</span>        <span class=n>tree</span><span class=p>.</span><span class=n>addNode</span><span class=p>(</span><span class=n>node</span><span class=p>,</span> <span class=n>k</span><span class=p>);</span>
+</span></span><span class=line><span class=cl> <span class=mi>89</span>        <span class=n>allowedColorsSize</span><span class=err>\</span><span class=p>[</span><span class=n>k</span><span class=err>\</span><span class=p>]</span> <span class=o>=</span> <span class=n>M</span><span class=p>;</span>
+</span></span><span class=line><span class=cl> <span class=mi>90</span>    <span class=p>}</span>
+</span></span><span class=line><span class=cl> <span class=mi>91</span>    <span class=nf>scanf</span><span class=p>(</span><span class=s>&#34;%d&#34;</span><span class=p>,</span> <span class=o>&amp;</span><span class=n>C</span><span class=p>);</span>
+</span></span><span class=line><span class=cl> <span class=mi>92</span>    <span class=k>for</span><span class=p>(</span><span class=kt>int</span> <span class=n>k</span> <span class=o>=</span> <span class=mi>0</span><span class=p>;</span> <span class=n>k</span> <span class=o>&lt;</span> <span class=n>C</span><span class=p>;</span> <span class=o>++</span><span class=n>k</span><span class=p>)</span> <span class=p>{</span>
+</span></span><span class=line><span class=cl> <span class=mi>93</span>        <span class=nf>scanf</span><span class=p>(</span><span class=s>&#34;%d%d&#34;</span><span class=p>,</span> <span class=o>&amp;</span><span class=n>node</span><span class=p>,</span> <span class=o>&amp;</span><span class=n>prohibited</span><span class=p>);</span>
+</span></span><span class=line><span class=cl> <span class=mi>94</span>        <span class=nf>assert</span><span class=p>(</span><span class=mi>0</span> <span class=o>&lt;=</span> <span class=n>node</span> <span class=o>&amp;&amp;</span> <span class=n>node</span> <span class=o>&lt;</span> <span class=n>N</span> <span class=o>&amp;&amp;</span> <span class=mi>0</span> <span class=o>&lt;=</span> <span class=n>prohibited</span> <span class=o>&amp;&amp;</span> <span class=n>prohibited</span> <span class=o>&lt;</span> <span class=n>M</span><span class=p>);</span>
+</span></span><span class=line><span class=cl> <span class=mi>95</span>        <span class=nf>if</span><span class=p>(</span><span class=n>allowedColors</span><span class=err>\</span><span class=p>[</span><span class=n>node</span><span class=err>\</span><span class=p>]</span><span class=err>\</span><span class=p>[</span><span class=n>prohibited</span><span class=err>\</span><span class=p>])</span> <span class=p>{</span> <span class=c1>//Checa que los nodos no se repitan ya que se pueden repetir
+</span></span></span><span class=line><span class=cl><span class=c1></span> <span class=mi>96</span>            <span class=n>allowedColors</span><span class=err>\</span><span class=p>[</span><span class=n>node</span><span class=err>\</span><span class=p>]</span><span class=err>\</span><span class=p>[</span><span class=n>prohibited</span><span class=err>\</span><span class=p>]</span> <span class=o>=</span> <span class=nb>false</span><span class=p>;</span>
+</span></span><span class=line><span class=cl> <span class=mi>97</span>            <span class=n>allowedColorsSize</span><span class=err>\</span><span class=p>[</span><span class=n>node</span><span class=err>\</span><span class=p>]</span> <span class=o>--</span><span class=p>;</span>
+</span></span><span class=line><span class=cl> <span class=mi>98</span>        <span class=p>}</span>
+</span></span><span class=line><span class=cl> <span class=mi>99</span>    <span class=p>}</span>
+</span></span><span class=line><span class=cl><span class=mi>100</span> <span class=p>}</span>
+</span></span><span class=line><span class=cl><span class=mi>101</span> 
+</span></span><span class=line><span class=cl><span class=mi>102</span> <span class=o>/</span><span class=err>\</span><span class=o>*</span><span class=n>Una</span> <span class=n>busqueda</span> <span class=n>en</span> <span class=n>amplitud</span> <span class=n>para</span> <span class=s>&#34;linearizar el árbol&#34;</span><span class=err>\*/</span>
+</span></span><span class=line><span class=cl><span class=mi>103</span> <span class=kt>void</span> <span class=n>orderNodes</span><span class=p>()</span> <span class=p>{</span>
+</span></span><span class=line><span class=cl><span class=mi>104</span>     <span class=n>searchDepth</span><span class=p>.</span><span class=n>push</span><span class=p>(</span><span class=n>make</span><span class=err>\</span><span class=n>_pair</span><span class=p>(</span><span class=mi>0</span><span class=p>,</span> <span class=mi>0</span><span class=p>));</span>
+</span></span><span class=line><span class=cl><span class=mi>105</span>     <span class=nf>while</span><span class=p>(</span><span class=o>!</span><span class=n>searchDepth</span><span class=p>.</span><span class=n>empty</span><span class=p>())</span> <span class=p>{</span>
+</span></span><span class=line><span class=cl><span class=mi>106</span>         <span class=n>pii</span> <span class=n>value</span> <span class=o>=</span> <span class=n>searchDepth</span><span class=p>.</span><span class=n>front</span><span class=p>();</span> <span class=n>searchDepth</span><span class=p>.</span><span class=n>pop</span><span class=p>();</span>
+</span></span><span class=line><span class=cl><span class=mi>107</span>         <span class=n>nodesOrder</span><span class=p>.</span><span class=n>push</span><span class=err>\</span><span class=n>_front</span><span class=p>(</span><span class=n>value</span><span class=p>.</span><span class=n>first</span><span class=p>);</span>
+</span></span><span class=line><span class=cl><span class=mi>108</span>         <span class=n>TR</span><span class=p>(</span><span class=n>tree</span><span class=p>.</span><span class=n>nodes</span><span class=err>\</span><span class=p>[</span><span class=n>value</span><span class=p>.</span><span class=n>first</span><span class=err>\</span><span class=p>],</span> <span class=n>it</span><span class=p>)</span> <span class=p>{</span>
+</span></span><span class=line><span class=cl><span class=mi>109</span>             <span class=n>searchDepth</span><span class=p>.</span><span class=n>push</span><span class=p>(</span><span class=n>make</span><span class=err>\</span><span class=n>_pair</span><span class=p>(</span><span class=err>\</span><span class=o>*</span><span class=n>it</span><span class=p>,</span> <span class=n>value</span><span class=p>.</span><span class=n>second</span> <span class=o>+</span> <span class=mi>1</span><span class=p>));</span>
+</span></span><span class=line><span class=cl><span class=mi>110</span>         <span class=p>}</span>
+</span></span><span class=line><span class=cl><span class=mi>111</span>     <span class=p>}</span>
+</span></span><span class=line><span class=cl><span class=mi>112</span> <span class=p>}</span>
+</span></span><span class=line><span class=cl><span class=mi>113</span> 
+</span></span><span class=line><span class=cl><span class=mi>114</span> <span class=o>/</span><span class=err>\</span><span class=o>*</span><span class=n>Checa</span> <span class=n>por</span> <span class=n>cada</span> <span class=n>nodo</span> <span class=n>de</span> <span class=n>mayor</span> <span class=n>a</span> <span class=n>menor</span> <span class=n>en</span> <span class=n>la</span> <span class=n>linearizacion</span><span class=p>,</span> <span class=n>los</span> <span class=n>colores</span> <span class=n>posibles</span> <span class=n>por</span> <span class=n>nodo</span> <span class=n>que</span> <span class=n>solo</span> <span class=n>tiene</span> <span class=n>un</span> <span class=n>color</span> <span class=n>posible</span><span class=err>\*/</span>
+</span></span><span class=line><span class=cl><span class=mi>115</span> <span class=kt>void</span> <span class=n>enforceArc</span><span class=p>()</span> <span class=p>{</span>
+</span></span><span class=line><span class=cl><span class=mi>116</span>     <span class=nf>TR</span><span class=p>(</span><span class=n>nodesOrder</span><span class=p>,</span> <span class=n>it</span><span class=p>)</span> <span class=p>{</span>
+</span></span><span class=line><span class=cl><span class=mi>117</span>         <span class=kt>int</span> <span class=n>currNode</span> <span class=o>=</span> <span class=err>\</span><span class=o>*</span><span class=n>it</span><span class=p>;</span>
+</span></span><span class=line><span class=cl><span class=mi>118</span>         <span class=kt>int</span> <span class=n>parent</span> <span class=o>=</span> <span class=n>parents</span><span class=err>\</span><span class=p>[</span><span class=err>\</span><span class=o>*</span><span class=n>it</span><span class=err>\</span><span class=p>];</span>
+</span></span><span class=line><span class=cl><span class=mi>119</span>         <span class=k>if</span><span class=p>(</span><span class=n>currNode</span> <span class=o>!=</span> <span class=mi>0</span><span class=p>)</span> <span class=p>{</span>
+</span></span><span class=line><span class=cl><span class=mi>120</span>             <span class=k>if</span><span class=p>(</span><span class=n>allowedColorsSize</span><span class=err>\</span><span class=p>[</span><span class=n>currNode</span><span class=err>\</span><span class=p>]</span> <span class=o>==</span> <span class=mi>1</span> <span class=o>||</span> <span class=n>allowedColorsSize</span><span class=err>\</span><span class=p>[</span><span class=n>parent</span><span class=err>\</span><span class=p>]</span> <span class=o>==</span> <span class=mi>1</span><span class=p>)</span> <span class=p>{</span>
+</span></span><span class=line><span class=cl><span class=mi>121</span>                 <span class=k>if</span><span class=p>(</span><span class=n>allowedColorsSize</span><span class=err>\</span><span class=p>[</span><span class=n>parent</span><span class=err>\</span><span class=p>]</span> <span class=o>==</span> <span class=mi>1</span><span class=p>)</span> <span class=p>{</span>
+</span></span><span class=line><span class=cl><span class=mi>122</span>                     <span class=n>swap</span><span class=p>(</span><span class=n>currNode</span><span class=p>,</span> <span class=n>parent</span><span class=p>);</span>
+</span></span><span class=line><span class=cl><span class=mi>123</span>                 <span class=p>}</span>
+</span></span><span class=line><span class=cl><span class=mi>124</span>                 <span class=kt>int</span> <span class=n>color</span> <span class=o>=</span> <span class=n>validColor</span><span class=p>(</span><span class=n>currNode</span><span class=p>);</span>
+</span></span><span class=line><span class=cl><span class=mi>125</span>                 <span class=c1>//printf(&#34;%d %d %d\\n&#34;, currNode, parent, color);
+</span></span></span><span class=line><span class=cl><span class=c1></span><span class=mi>126</span>                 <span class=k>if</span><span class=p>(</span><span class=n>allowedColors</span><span class=err>\</span><span class=p>[</span><span class=n>parent</span><span class=err>\</span><span class=p>]</span><span class=err>\</span><span class=p>[</span><span class=n>color</span><span class=err>\</span><span class=p>])</span> <span class=p>{</span>
+</span></span><span class=line><span class=cl><span class=mi>127</span>                     <span class=n>allowedColors</span><span class=err>\</span><span class=p>[</span><span class=n>parent</span><span class=err>\</span><span class=p>]</span><span class=err>\</span><span class=p>[</span><span class=n>color</span><span class=err>\</span><span class=p>]</span> <span class=o>=</span> <span class=nb>false</span><span class=p>;</span>
+</span></span><span class=line><span class=cl><span class=mi>128</span>                     <span class=n>allowedColorsSize</span><span class=err>\</span><span class=p>[</span><span class=n>parent</span><span class=err>\</span><span class=p>]</span> <span class=o>--</span><span class=p>;</span>
+</span></span><span class=line><span class=cl><span class=mi>129</span>                 <span class=p>}</span>
+</span></span><span class=line><span class=cl><span class=mi>130</span>             <span class=p>}</span>
+</span></span><span class=line><span class=cl><span class=mi>131</span>         <span class=p>}</span>
+</span></span><span class=line><span class=cl><span class=mi>132</span>         <span class=c1>//Si no hay colores posibles, no se puede resolver el mapa
+</span></span></span><span class=line><span class=cl><span class=c1></span><span class=mi>133</span>         <span class=k>if</span><span class=p>(</span><span class=n>allowedColorsSize</span><span class=err>\</span><span class=p>[</span><span class=n>currNode</span><span class=err>\</span><span class=p>]</span> <span class=o>&lt;=</span> <span class=mi>0</span><span class=p>)</span> <span class=p>{</span>
+</span></span><span class=line><span class=cl><span class=mi>134</span>             <span class=n>printf</span><span class=p>(</span><span class=s>&#34;-1</span><span class=se>\\</span><span class=s>n&#34;</span><span class=p>);</span>
+</span></span><span class=line><span class=cl><span class=mi>135</span>             <span class=n>exit</span><span class=p>(</span><span class=mi>0</span><span class=p>);</span>
+</span></span><span class=line><span class=cl><span class=mi>136</span>         <span class=p>}</span>
+</span></span><span class=line><span class=cl><span class=mi>137</span>     <span class=p>}</span>
+</span></span><span class=line><span class=cl><span class=mi>138</span>     <span class=c1>//Checa de nuevo si alguno de los colores no puede ser
+</span></span></span><span class=line><span class=cl><span class=c1></span><span class=mi>139</span>     <span class=k>for</span><span class=p>(</span><span class=kt>int</span> <span class=n>k</span> <span class=o>=</span> <span class=mi>0</span><span class=p>;</span> <span class=n>k</span> <span class=o>&lt;</span> <span class=n>N</span><span class=p>;</span> <span class=o>++</span><span class=n>k</span><span class=p>)</span> <span class=p>{</span>
+</span></span><span class=line><span class=cl><span class=mi>140</span>         <span class=nf>if</span><span class=p>(</span><span class=n>allowedColorsSize</span><span class=err>\</span><span class=p>[</span><span class=n>k</span><span class=err>\</span><span class=p>]</span> <span class=o>==</span> <span class=mi>0</span><span class=p>)</span> <span class=p>{</span>
+</span></span><span class=line><span class=cl><span class=mi>141</span>             <span class=n>printf</span><span class=p>(</span><span class=s>&#34;-1</span><span class=se>\\</span><span class=s>n&#34;</span><span class=p>);</span>
+</span></span><span class=line><span class=cl><span class=mi>142</span>             <span class=n>exit</span><span class=p>(</span><span class=mi>0</span><span class=p>);</span>
+</span></span><span class=line><span class=cl><span class=mi>143</span>         <span class=p>}</span>
+</span></span><span class=line><span class=cl><span class=mi>144</span>     <span class=p>}</span>
+</span></span><span class=line><span class=cl><span class=mi>145</span> <span class=p>}</span>
+</span></span><span class=line><span class=cl><span class=mi>146</span> 
+</span></span><span class=line><span class=cl><span class=mi>147</span> <span class=c1>//Hace un ciclo checando el menor color posible por nodo e imprime los colores menores
+</span></span></span><span class=line><span class=cl><span class=c1></span><span class=mi>148</span> <span class=kt>void</span> <span class=n>findSolution</span><span class=p>()</span> <span class=p>{</span>
+</span></span><span class=line><span class=cl><span class=mi>149</span>     <span class=n>colorAssigned</span><span class=err>\</span><span class=p>[</span><span class=mi>0</span><span class=err>\</span><span class=p>]</span> <span class=o>=</span> <span class=o>-</span><span class=mi>1</span><span class=p>;</span>
+</span></span><span class=line><span class=cl><span class=mi>150</span>     <span class=n>list</span><span class=o>&lt;</span><span class=kt>int</span><span class=err>\</span><span class=o>&gt;::</span><span class=n>iterator</span> <span class=n>it</span> <span class=o>=</span> <span class=n>nodesOrder</span><span class=p>.</span><span class=n>end</span><span class=p>();</span>
+</span></span><span class=line><span class=cl><span class=mi>151</span>     <span class=k>do</span> <span class=p>{</span>
+</span></span><span class=line><span class=cl><span class=mi>152</span>         <span class=n>it</span> <span class=o>--</span><span class=p>;</span>
+</span></span><span class=line><span class=cl><span class=mi>153</span>         <span class=nf>assert</span><span class=p>(</span><span class=mi>0</span> <span class=o>&lt;=</span> <span class=err>\</span><span class=o>*</span><span class=n>it</span> <span class=o>&amp;&amp;</span> <span class=err>\</span><span class=o>*</span><span class=n>it</span> <span class=o>&lt;</span> <span class=n>N</span><span class=p>);</span>
+</span></span><span class=line><span class=cl><span class=mi>154</span>         <span class=kt>int</span> <span class=n>color</span> <span class=o>=</span> <span class=n>validColor</span><span class=p>(</span><span class=err>\</span><span class=o>*</span><span class=n>it</span><span class=p>);</span>
+</span></span><span class=line><span class=cl><span class=mi>155</span>         <span class=nf>if</span><span class=p>(</span><span class=n>colorAssigned</span><span class=err>\</span><span class=p>[</span><span class=n>parents</span><span class=err>\</span><span class=p>[</span><span class=err>\</span><span class=o>*</span><span class=n>it</span><span class=err>\</span><span class=p>]</span><span class=err>\</span><span class=p>]</span> <span class=o>==</span> <span class=n>color</span><span class=p>)</span> <span class=p>{</span>
+</span></span><span class=line><span class=cl><span class=mi>156</span>             <span class=n>color</span> <span class=o>=</span> <span class=n>validColor</span><span class=p>(</span><span class=err>\</span><span class=o>*</span><span class=n>it</span><span class=p>,</span> <span class=n>color</span><span class=p>);</span>
+</span></span><span class=line><span class=cl><span class=mi>157</span>         <span class=p>}</span>
+</span></span><span class=line><span class=cl><span class=mi>158</span>         <span class=nf>assert</span><span class=p>(</span><span class=mi>0</span> <span class=o>&lt;=</span> <span class=n>color</span> <span class=o>&amp;&amp;</span> <span class=n>color</span> <span class=o>&lt;</span> <span class=n>M</span><span class=p>);</span>
+</span></span><span class=line><span class=cl><span class=mi>159</span>         <span class=n>colorAssigned</span><span class=err>\</span><span class=p>[</span><span class=err>\</span><span class=o>*</span><span class=n>it</span><span class=err>\</span><span class=p>]</span> <span class=o>=</span> <span class=n>color</span><span class=p>;</span>
+</span></span><span class=line><span class=cl><span class=mi>160</span>     <span class=p>}</span> <span class=k>while</span><span class=p>(</span><span class=n>it</span> <span class=o>!=</span> <span class=n>nodesOrder</span><span class=p>.</span><span class=n>begin</span><span class=p>())</span> <span class=p>;</span>
+</span></span><span class=line><span class=cl><span class=mi>161</span> 
+</span></span><span class=line><span class=cl><span class=mi>162</span>    <span class=k>for</span><span class=p>(</span><span class=kt>int</span> <span class=n>k</span> <span class=o>=</span> <span class=mi>0</span><span class=p>;</span> <span class=n>k</span> <span class=o>&lt;</span> <span class=n>N</span><span class=p>;</span> <span class=o>++</span><span class=n>k</span><span class=p>)</span> <span class=p>{</span>
+</span></span><span class=line><span class=cl><span class=mi>163</span>        <span class=nf>printf</span><span class=p>(</span><span class=s>&#34;%d</span><span class=se>\\</span><span class=s>n&#34;</span><span class=p>,</span> <span class=n>colorAssigned</span><span class=err>\</span><span class=p>[</span><span class=n>k</span><span class=err>\</span><span class=p>]);</span>
+</span></span><span class=line><span class=cl><span class=mi>164</span>    <span class=p>}</span>
+</span></span><span class=line><span class=cl><span class=mi>165</span> <span class=p>}</span>
+</span></span><span class=line><span class=cl><span class=mi>166</span> 
+</span></span><span class=line><span class=cl><span class=mi>167</span> <span class=kt>int</span> <span class=nf>main</span><span class=p>()</span> <span class=p>{</span>
+</span></span><span class=line><span class=cl><span class=mi>168</span>     <span class=n>read</span><span class=p>();</span>
+</span></span><span class=line><span class=cl><span class=mi>169</span>     <span class=n>orderNodes</span><span class=p>();</span>
+</span></span><span class=line><span class=cl><span class=mi>170</span>     <span class=n>enforceArc</span><span class=p>();</span>
+</span></span><span class=line><span class=cl><span class=mi>171</span>     <span class=n>findSolution</span><span class=p>();</span>
+</span></span><span class=line><span class=cl><span class=mi>172</span>     <span class=k>return</span> <span class=mi>0</span><span class=p>;</span>
+</span></span><span class=line><span class=cl><span class=mi>173</span> <span class=p>}</span></span></span></code></pre></div></div><div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0"><button class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50" title="Copiar código"><div class="copy-icon group-[.copied]/copybtn:hx-hidden hx-pointer-events-none hx-h-4 hx-w-4"></div><div class="success-icon hx-hidden group-[.copied]/copybtn:hx-block hx-pointer-events-none hx-h-4 hx-w-4"></div></button></div></div></div><div class=hx-mt-16></div></main></article></div><footer class="hextra-footer hx-bg-gray-100 hx-pb-[env(safe-area-inset-bottom)] dark:hx-bg-neutral-900 print:hx-bg-transparent"><div class="hx-mx-auto hx-flex hx-gap-2 hx-py-2 hx-px-4 hx-max-w-screen-xl"><button title="Cambiar tema" data-theme=light class="theme-toggle hx-group hx-h-7 hx-rounded-md hx-px-2 hx-text-left hx-text-xs hx-font-medium hx-text-gray-600 hx-transition-colors dark:hx-text-gray-400 hover:hx-bg-gray-100 hover:hx-text-gray-900 dark:hover:hx-bg-primary-100/5 dark:hover:hx-text-gray-50" type=button aria-label="Cambiar tema"><div class="hx-flex hx-items-center hx-gap-2 hx-capitalize"><svg height="12" class="group-data-[theme=light]:hx-hidden" fill="none" viewBox="0 0 24 24" stroke-width="2" stroke="currentcolor" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" d="M12 3v1m0 16v1m9-9h-1M4 12H3m15.364 6.364-.707-.707M6.343 6.343l-.707-.707m12.728.0-.707.707M6.343 17.657l-.707.707M16 12a4 4 0 11-8 0 4 4 0 018 0z"/></svg><span class="group-data-[theme=light]:hx-hidden">Modo claro</span><svg height="12" class="group-data-[theme=dark]:hx-hidden" fill="none" viewBox="0 0 24 24" stroke-width="2" stroke="currentcolor" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" d="M20.354 15.354A9 9 0 018.646 3.646 9.003 9.003.0 0012 21a9.003 9.003.0 008.354-5.646z"/></svg><span class="group-data-[theme=dark]:hx-hidden">Modo oscuro</span></div></button></div><hr class=dark:hx-border-neutral-800><div class="hx-max-w-screen-xl hx-mx-auto hx-flex hx-justify-center hx-py-12 hx-pl-[max(env(safe-area-inset-left),1.5rem)] hx-pr-[max(env(safe-area-inset-right),1.5rem)] hx-text-gray-600 dark:hx-text-gray-400 md:hx-justify-start"><div class="hx-flex hx-w-full hx-flex-col hx-items-center sm:hx-items-start"><div class="hx-mt-6 hx-text-xs">Derechos reservados omegaUp © 2024.</div></div></div></footer><script defer src=/js/main.min.d0f0346255ba9418db8fcf7f9440ca4e532e06276d8df17497e19e1045ee360b.js integrity="sha256-0PA0YlW6lBjbj89/lEDKTlMuBidtjfF0l+GeEEXuNgs="></script><script defer src=/lib/flexsearch/flexsearch.bundle.min.e45e7eb129aae9f684e7f863bb7c1d612ea124b7068e12af80c58c62764a5379.js integrity="sha256-5F5+sSmq6faE5/hju3wdYS6hJLcGjhKvgMWMYnZKU3k="></script><script defer src=/es.search.min.22b690999814062b6c1f520ab1382c4b2dee00893bf5dea1e0d0415986c85591.js integrity="sha256-IraQmZgUBitsH1IKsTgsSy3uAIk79d6h4NBBWYbIVZE="></script></body></html>
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diff --git a/posts/solucion-a-la-venganza-de-silvio/index.html b/posts/solucion-a-la-venganza-de-silvio/index.html
index d7d0f25..6cb2cd1 100644
--- a/posts/solucion-a-la-venganza-de-silvio/index.html
+++ b/posts/solucion-a-la-venganza-de-silvio/index.html
@@ -10,6 +10,10 @@
 Este problema es bastante sencillo de entender, la dificultad radica en que exponenciar un número de la manera obvia no es lo suficientemente rápido para obtener todos los puntos disponibles.
 Subtarea 1 Para obtener el primer grupo de puntos, sólo basta calcular $latex N^M$ multiplicando a $latex N$ por sí mismo $latex M$ veces, teniendo cuidado de que no haya overflow."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/solucion-a-las-cartas-del-dr-lira/index.html b/posts/solucion-a-las-cartas-del-dr-lira/index.html
index b42f71a..bc81034 100644
--- a/posts/solucion-a-las-cartas-del-dr-lira/index.html
+++ b/posts/solucion-a-las-cartas-del-dr-lira/index.html
@@ -9,6 +9,10 @@
 Básicamente lo que nos pide el problema es encontrar el número de cartas que son distintas entre la configuración que es dada como entrada y una configuración donde las cartas estén alternadas.
 Cómo se explica en el problema, sólo hay 2 estados posibles en los que una carta puede estar: negro (B) y blanco (W). En otras palabras, la observación clave para resolver el problema es darse cuenta que sólo existen 2 configuraciones que cumplen con las reglas que necesita Dr. Lira: Una configuración donde la primer carta es W, la siguiente B, la siguiente W y así sucesivamente. La otra configuración posible es donde las cartas empiezan con B, forzando la siguiente carta a ser W y esta a su vez forzando la siguiente carta a ser B."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/solucion-a-los-bloques-de-link/index.html b/posts/solucion-a-los-bloques-de-link/index.html
index 5e41f7d..2bdc4fc 100644
--- a/posts/solucion-a-los-bloques-de-link/index.html
+++ b/posts/solucion-a-los-bloques-de-link/index.html
@@ -5,6 +5,10 @@
 Es claro que no es posible probar todas las sucesiones posibles de movimientos de los bloques para encontrar la solución (a excepción de casos muy simples). El número de tales sucesiones puede ser infinito en caso de que se puedan formar ciclos de movimientos (lo cual sucede en muchos de lo casos de prueba), y aún en casos donde el número sea finito puede suceder que no se tenga tiempo para probarlos todos."><meta itemprop=datePublished content="2013-01-07T16:54:06+00:00"><meta itemprop=dateModified content="2013-01-07T16:54:06+00:00"><meta itemprop=wordCount content="627"><meta itemprop=keywords content="Solution,Alain Acevedo,Etapa 1,Examen 8,Preselectivo,Solución,Soluciones Preselectivo 2013"><meta name=twitter:card content="summary"><meta name=twitter:title content='Solución a "Los Bloques de Link"'><meta name=twitter:description content="Concurso: Preselectivo para la IOI 2013, Etapa 1, Examen 8 **Autor: **Alain Acevedo Mejía
 Es claro que no es posible probar todas las sucesiones posibles de movimientos de los bloques para encontrar la solución (a excepción de casos muy simples). El número de tales sucesiones puede ser infinito en caso de que se puedan formar ciclos de movimientos (lo cual sucede en muchos de lo casos de prueba), y aún en casos donde el número sea finito puede suceder que no se tenga tiempo para probarlos todos."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/solucion-a-los-callejones-de-guanajuato/index.html b/posts/solucion-a-los-callejones-de-guanajuato/index.html
index 8d34635..8460a14 100644
--- a/posts/solucion-a-los-callejones-de-guanajuato/index.html
+++ b/posts/solucion-a-los-callejones-de-guanajuato/index.html
@@ -9,6 +9,10 @@
 En este problema se nos está pidiendo que, dado un grafo conexo no dirigido, encontrar un camino tal que pasemos por todas las aristas.
 Esta es una aplicación directa de un problema conocido de grafos, aunque no es tan común como otros problemas, estoy hablando de los ciclos Eulerianos."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/solucion-a-mapas-de-bits/index.html b/posts/solucion-a-mapas-de-bits/index.html
index 75b78dd..1c72e05 100644
--- a/posts/solucion-a-mapas-de-bits/index.html
+++ b/posts/solucion-a-mapas-de-bits/index.html
@@ -9,6 +9,10 @@
 En el problema se describen dos formas de representar un mapa de bits.
 La forma bidimensional es simplemente utilizar una matriz para representar los bits. La forma por descomposición consiste en agrupar los bits similares y solo escribir el valor de los bits similares. En caso de que no sean similares todos los bits en un mapa de bits dado, se procede a dividir en cuatro secciones, imprimir la letra D y procesar cada uno de los cuartos de la misma manera, tal como se lee en la descripción del problema."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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-</span></span><span style=display:flex><span>Si todos los elementos en mapaDeBits son iguales
-</span></span><span style=display:flex><span>    Imprime el valor y termina
-</span></span><span style=display:flex><span>Si no
-</span></span><span style=display:flex><span>    Imprime D
-</span></span><span style=display:flex><span>    ReduceMapa(mapaDeBits.superiorIzquierdo)
-</span></span><span style=display:flex><span>    ReduceMapa(mapaDeBits.superiorDerecho)
-</span></span><span style=display:flex><span>    ReduceMapa(mapaDeBits.inferiorIzquierdo)
-</span></span><span style=display:flex><span>    ReduceMapa(mapaDeBits.inferiorDerecho) 
-</span></span></code></pre></div></div><div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0"><button class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50" title="Copiar código"><div class="copy-icon group-[.copied]/copybtn:hx-hidden hx-pointer-events-none hx-h-4 hx-w-4"></div><div class="success-icon hx-hidden group-[.copied]/copybtn:hx-block hx-pointer-events-none hx-h-4 hx-w-4"></div></button></div></div><p>El método para hacer la transformación inversa es muy parecido, sólo que para imprimir la equivalencia hay que comenzar con un mapa de bits bidimensional que nos sirva de variable auxiliar para hacer la conversión. Esta variable auxiliar se puede declarar de manera global y, cuando el método recursivo termine, simplemente imprimir su contenido:</p><div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code"><div><div class=highlight><pre tabindex=0 style=color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4><code class=language-cpp data-lang=cpp><span style=display:flex><span> AmplificaMapa(mapaDeBits, sección)
-</span></span><span style=display:flex><span>Si mapaDeBits comienza con un valor
-</span></span><span style=display:flex><span>    Rellenar sección del mapa bidimensional con el valor
-</span></span><span style=display:flex><span>Si no
-</span></span><span style=display:flex><span>    AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.superiorIzquierda)
-</span></span><span style=display:flex><span>    AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.superiorDerecha)
-</span></span><span style=display:flex><span>    AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.inferiorIzquierda)
-</span></span><span style=display:flex><span>    AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.inferiorDerecha) 
+<span>Ir al inicio</span><svg fill="none" viewBox="0 0 24 24" stroke-width="1.5" stroke="currentcolor" class="hx-inline ltr:hx-ml-1 rtl:hx-mr-1 hx-h-3.5 hx-w-3.5 hx-border hx-rounded-full hx-border-gray-500 hover:hx-border-gray-900 dark:hx-border-gray-400 dark:hover:hx-border-gray-100 contrast-more:hx-border-gray-800 contrast-more:dark:hx-border-gray-50"><path stroke-linecap="round" stroke-linejoin="round" d="M4.5 15.75l7.5-7.5 7.5 7.5"/></svg></button></div></div></nav><article class="hx-w-full hx-break-words hx-flex hx-min-h-[calc(100vh-var(--navbar-height))] hx-min-w-0 hx-justify-center hx-pb-8 hx-pr-[calc(env(safe-area-inset-right)-1.5rem)]"><main class="hx-w-full hx-min-w-0 hx-max-w-6xl hx-px-6 hx-pt-4 md:hx-px-12"><br class="hx-mt-1.5 hx-text-sm"><h1 class="hx-text-center hx-mt-2 hx-text-4xl hx-font-bold hx-tracking-tight hx-text-slate-900 dark:hx-text-slate-100">Solución a "Mapas de bits"</h1><div class=hx-mb-16></div><div class=content><p><strong>Concurso:</strong> <a href=https://omegaup.com/arena/IOI2014E1P12/#problems/Mapas-de-bits target=_blank rel=noopener>Preselectivo para la IOI 2014, Etapa 1, Problemset 12</a> <strong>Autor:</strong> Jorge Alberto González Martínez <strong>Fuente</strong>: Jorge Alberto González Martínez</p><p>En el problema se describen dos formas de representar un mapa de bits.</p><p>La forma bidimensional es simplemente utilizar una matriz para representar los bits. La forma por descomposición consiste en agrupar los bits similares y solo escribir el valor de los bits similares. En caso de que no sean similares todos los bits en un mapa de bits dado, se procede a dividir en cuatro secciones, imprimir la letra D y procesar cada uno de los cuartos de la misma manera, tal como se lee en la descripción del problema.</p><p>La solución a este problema consistía en programar el método descrito. Este método inherentemente está basado en la técnica de divide y vencerás.</p><p>A continuación, un pseudo-código que muestra la forma de llevar a cabo la transformación de un mapa de bits bidimensional a la forma reducida:</p><div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code"><div><div class=highlight><pre tabindex=0 class=chroma><code class=language-cpp data-lang=cpp><span class=line><span class=cl> <span class=n>ReduceMapa</span><span class=p>(</span><span class=n>mapaDeBits</span><span class=p>)</span>
+</span></span><span class=line><span class=cl><span class=n>Si</span> <span class=n>todos</span> <span class=n>los</span> <span class=n>elementos</span> <span class=n>en</span> <span class=n>mapaDeBits</span> <span class=n>son</span> <span class=n>iguales</span>
+</span></span><span class=line><span class=cl>    <span class=n>Imprime</span> <span class=n>el</span> <span class=n>valor</span> <span class=n>y</span> <span class=n>termina</span>
+</span></span><span class=line><span class=cl><span class=n>Si</span> <span class=n>no</span>
+</span></span><span class=line><span class=cl>    <span class=n>Imprime</span> <span class=n>D</span>
+</span></span><span class=line><span class=cl>    <span class=n>ReduceMapa</span><span class=p>(</span><span class=n>mapaDeBits</span><span class=p>.</span><span class=n>superiorIzquierdo</span><span class=p>)</span>
+</span></span><span class=line><span class=cl>    <span class=n>ReduceMapa</span><span class=p>(</span><span class=n>mapaDeBits</span><span class=p>.</span><span class=n>superiorDerecho</span><span class=p>)</span>
+</span></span><span class=line><span class=cl>    <span class=n>ReduceMapa</span><span class=p>(</span><span class=n>mapaDeBits</span><span class=p>.</span><span class=n>inferiorIzquierdo</span><span class=p>)</span>
+</span></span><span class=line><span class=cl>    <span class=n>ReduceMapa</span><span class=p>(</span><span class=n>mapaDeBits</span><span class=p>.</span><span class=n>inferiorDerecho</span><span class=p>)</span> 
+</span></span></code></pre></div></div><div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0"><button class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50" title="Copiar código"><div class="copy-icon group-[.copied]/copybtn:hx-hidden hx-pointer-events-none hx-h-4 hx-w-4"></div><div class="success-icon hx-hidden group-[.copied]/copybtn:hx-block hx-pointer-events-none hx-h-4 hx-w-4"></div></button></div></div><p>El método para hacer la transformación inversa es muy parecido, sólo que para imprimir la equivalencia hay que comenzar con un mapa de bits bidimensional que nos sirva de variable auxiliar para hacer la conversión. Esta variable auxiliar se puede declarar de manera global y, cuando el método recursivo termine, simplemente imprimir su contenido:</p><div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code"><div><div class=highlight><pre tabindex=0 class=chroma><code class=language-cpp data-lang=cpp><span class=line><span class=cl> <span class=n>AmplificaMapa</span><span class=p>(</span><span class=n>mapaDeBits</span><span class=p>,</span> <span class=n>sección</span><span class=p>)</span>
+</span></span><span class=line><span class=cl><span class=n>Si</span> <span class=n>mapaDeBits</span> <span class=n>comienza</span> <span class=n>con</span> <span class=n>un</span> <span class=n>valor</span>
+</span></span><span class=line><span class=cl>    <span class=n>Rellenar</span> <span class=n>sección</span> <span class=n>del</span> <span class=n>mapa</span> <span class=n>bidimensional</span> <span class=n>con</span> <span class=n>el</span> <span class=n>valor</span>
+</span></span><span class=line><span class=cl><span class=n>Si</span> <span class=n>no</span>
+</span></span><span class=line><span class=cl>    <span class=n>AmplificaMapa</span><span class=p>(</span><span class=n>mapaDeBits</span><span class=p>.</span><span class=n>removerPrimerElemento</span><span class=p>,</span> <span class=n>sección</span><span class=p>.</span><span class=n>superiorIzquierda</span><span class=p>)</span>
+</span></span><span class=line><span class=cl>    <span class=n>AmplificaMapa</span><span class=p>(</span><span class=n>mapaDeBits</span><span class=p>.</span><span class=n>removerPrimerElemento</span><span class=p>,</span> <span class=n>sección</span><span class=p>.</span><span class=n>superiorDerecha</span><span class=p>)</span>
+</span></span><span class=line><span class=cl>    <span class=n>AmplificaMapa</span><span class=p>(</span><span class=n>mapaDeBits</span><span class=p>.</span><span class=n>removerPrimerElemento</span><span class=p>,</span> <span class=n>sección</span><span class=p>.</span><span class=n>inferiorIzquierda</span><span class=p>)</span>
+</span></span><span class=line><span class=cl>    <span class=n>AmplificaMapa</span><span class=p>(</span><span class=n>mapaDeBits</span><span class=p>.</span><span class=n>removerPrimerElemento</span><span class=p>,</span> <span class=n>sección</span><span class=p>.</span><span class=n>inferiorDerecha</span><span class=p>)</span> 
 </span></span></code></pre></div></div><div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0"><button class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50" title="Copiar código"><div class="copy-icon group-[.copied]/copybtn:hx-hidden hx-pointer-events-none hx-h-4 hx-w-4"></div><div class="success-icon hx-hidden group-[.copied]/copybtn:hx-block hx-pointer-events-none hx-h-4 hx-w-4"></div></button></div></div><p>La primera vez que se llama a la función AmplificaMapa se debe entregar la representación de la forma por descomposición del mapa de bits en la variable mapaDeBits y la sección que se entrega inicialmente es todo el mapa de bits. Esto puede ser manejado por filas y columnas.</p><p>A continuación se muestra una implementación en C++ que resuelve el problema. Nótese cómo se maneja la sección sobre la que se está trabajando con cuatro variables: <code>tl_row</code>, <code>tl_col</code>, <code>br_row</code>, <code>br_col</code>. El nombre de las variables proviene de top-left row, top-left colum, bottom-right row y bottom-right colum respectivamente. Representan los índices (fila,columa) de las esquinas superior izquierda e inferior derecha.</p><script src=https://gist.github.com/OlimpiadaMexicanadeInformatica/6860210.js></script></div><div class=hx-mt-16></div></main></article></div><footer class="hextra-footer hx-bg-gray-100 hx-pb-[env(safe-area-inset-bottom)] dark:hx-bg-neutral-900 print:hx-bg-transparent"><div class="hx-mx-auto hx-flex hx-gap-2 hx-py-2 hx-px-4 hx-max-w-screen-xl"><button title="Cambiar tema" data-theme=light class="theme-toggle hx-group hx-h-7 hx-rounded-md hx-px-2 hx-text-left hx-text-xs hx-font-medium hx-text-gray-600 hx-transition-colors dark:hx-text-gray-400 hover:hx-bg-gray-100 hover:hx-text-gray-900 dark:hover:hx-bg-primary-100/5 dark:hover:hx-text-gray-50" type=button aria-label="Cambiar tema"><div class="hx-flex hx-items-center hx-gap-2 hx-capitalize"><svg height="12" class="group-data-[theme=light]:hx-hidden" fill="none" viewBox="0 0 24 24" stroke-width="2" stroke="currentcolor" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" d="M12 3v1m0 16v1m9-9h-1M4 12H3m15.364 6.364-.707-.707M6.343 6.343l-.707-.707m12.728.0-.707.707M6.343 17.657l-.707.707M16 12a4 4 0 11-8 0 4 4 0 018 0z"/></svg><span class="group-data-[theme=light]:hx-hidden">Modo claro</span><svg height="12" class="group-data-[theme=dark]:hx-hidden" fill="none" viewBox="0 0 24 24" stroke-width="2" stroke="currentcolor" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" d="M20.354 15.354A9 9 0 018.646 3.646 9.003 9.003.0 0012 21a9.003 9.003.0 008.354-5.646z"/></svg><span class="group-data-[theme=dark]:hx-hidden">Modo oscuro</span></div></button></div><hr class=dark:hx-border-neutral-800><div class="hx-max-w-screen-xl hx-mx-auto hx-flex hx-justify-center hx-py-12 hx-pl-[max(env(safe-area-inset-left),1.5rem)] hx-pr-[max(env(safe-area-inset-right),1.5rem)] hx-text-gray-600 dark:hx-text-gray-400 md:hx-justify-start"><div class="hx-flex hx-w-full hx-flex-col hx-items-center sm:hx-items-start"><div class="hx-mt-6 hx-text-xs">Derechos reservados omegaUp © 2024.</div></div></div></footer><script defer src=/js/main.min.d0f0346255ba9418db8fcf7f9440ca4e532e06276d8df17497e19e1045ee360b.js integrity="sha256-0PA0YlW6lBjbj89/lEDKTlMuBidtjfF0l+GeEEXuNgs="></script><script defer src=/lib/flexsearch/flexsearch.bundle.min.e45e7eb129aae9f684e7f863bb7c1d612ea124b7068e12af80c58c62764a5379.js integrity="sha256-5F5+sSmq6faE5/hju3wdYS6hJLcGjhKvgMWMYnZKU3k="></script><script defer src=/es.search.min.22b690999814062b6c1f520ab1382c4b2dee00893bf5dea1e0d0415986c85591.js integrity="sha256-IraQmZgUBitsH1IKsTgsSy3uAIk79d6h4NBBWYbIVZE="></script></body></html>
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diff --git a/posts/solucion-a-mario-reloaded/index.html b/posts/solucion-a-mario-reloaded/index.html
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--- a/posts/solucion-a-mario-reloaded/index.html
+++ b/posts/solucion-a-mario-reloaded/index.html
@@ -6,6 +6,10 @@
 Observaciones Lo primero es ver como se modelan los estados del problema sin pensar en que Mario puede tomar los atajos, únicamente pensar en las llaves, claramente existen $latex n\times2^m$ estados, pues no importa el orden en que se toman las llaves solo las llaves que se tienen al llegar a cada puerta. A partir de aquí nos referiremos como estado a la puerta y las llaves que trae Mario."><meta itemprop=datePublished content="2013-01-07T16:08:32+00:00"><meta itemprop=dateModified content="2013-01-07T16:08:32+00:00"><meta itemprop=wordCount content="266"><meta itemprop=keywords content="Solution,Etapa 1,Examen 8,Pavel Herrera,Preselectivo,Soluciones Preselectivo 2013"><meta name=twitter:card content="summary"><meta name=twitter:title content='Solución a "Mario Reloaded"'><meta name=twitter:description content="Concurso: Preselectivo para la IOI 2013, Etapa 1, Examen 8 **Autor: **Pavel Herrera Dominguez)
 Observaciones Lo primero es ver como se modelan los estados del problema sin pensar en que Mario puede tomar los atajos, únicamente pensar en las llaves, claramente existen $latex n\times2^m$ estados, pues no importa el orden en que se toman las llaves solo las llaves que se tienen al llegar a cada puerta. A partir de aquí nos referiremos como estado a la puerta y las llaves que trae Mario."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/solucion-a-metro/index.html b/posts/solucion-a-metro/index.html
index 5a2c91f..d4fed89 100644
--- a/posts/solucion-a-metro/index.html
+++ b/posts/solucion-a-metro/index.html
@@ -9,6 +9,10 @@
 El problema en cuestión se reduce a encontrar un árbol de expansión mínima. La solución es una aplicación directa de alguno de los algoritmos existentes para ello (bien implementada), por lo que hablaré brevemente sobre una de las posibilidades y daré referencias donde puedan encontrar información más detallada.
 Para encontrar el costo mínimo de unir todas las estaciones debemos encontrar el árbol de expansión mínima de la gráfica en cuestión (es decir, una subgráfica conexa que una todos los vértices de la gráfica original y cuyo peso (la suma de los costos de todas sus aristas) sea el mínimo posible (siempre es un árbol)). Para ello una opción es usar el algoritmo de Kruskal: Ordenamos las aristas por su peso y vamos agregando cada arista de peso mínimo que no cree un ciclo en la gráfica. Hacemos esto hasta haber conectado todos los vértices de nuestra gráfica. Por la cantidad de aristas que tenemos requerimos ordenar eficientemente y verificar si las aristas forman un ciclo o no eficientemente en cada paso, de lo contrario el programa no correrá en tiempo."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/solucion-a-minecraft/index.html b/posts/solucion-a-minecraft/index.html
index a49f82b..013be9a 100644
--- a/posts/solucion-a-minecraft/index.html
+++ b/posts/solucion-a-minecraft/index.html
@@ -10,6 +10,10 @@
 Este problema no requiere ninguna observación específica y realmente lo único que hay que hacer es una búsqueda.
 Para los primeros 50 puntos Este primer sub set de casos se puede resolver implementando una búsqueda en amplitud que nos dé el camino más corto entre dos puntos en un mapa con paredes."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/solucion-a-mocha-hojas/index.html b/posts/solucion-a-mocha-hojas/index.html
index 25e1668..48e92ad 100644
--- a/posts/solucion-a-mocha-hojas/index.html
+++ b/posts/solucion-a-mocha-hojas/index.html
@@ -5,6 +5,10 @@
 Para simplificar el análisis, podemos notar que la respuesta que nos piden es igual al total de los pesos de las hojas del árbol menos el total de los pesos de las hojas del árbol ya balanceado. De ahora en adelante, trataremos el problema como si tuviéramos que conseguir este segundo valor, en vez del número de operaciones. Entonces queremos maximizar el peso total del árbol balanceado, para minimizar la cantidad de operaciones."><meta itemprop=datePublished content="2014-01-18T23:25:14+00:00"><meta itemprop=dateModified content="2014-01-18T23:25:14+00:00"><meta itemprop=wordCount content="522"><meta itemprop=keywords content="Solution,Beto,Etapa 1,Examen 17,Freddy,Preselectivo,Solución,Soluciones Preselectivo 2013"><meta name=twitter:card content="summary"><meta name=twitter:title content='Solución a "Mocha Hojas"'><meta name=twitter:description content="Concurso: Preselectivo para la IOI 2014, Etapa 1, Problemset 17 Autor: Freddy Román Cepeda Fuente: Alberto José Ramírez Valadez
 Para simplificar el análisis, podemos notar que la respuesta que nos piden es igual al total de los pesos de las hojas del árbol menos el total de los pesos de las hojas del árbol ya balanceado. De ahora en adelante, trataremos el problema como si tuviéramos que conseguir este segundo valor, en vez del número de operaciones. Entonces queremos maximizar el peso total del árbol balanceado, para minimizar la cantidad de operaciones."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/solucion-a-numeros-libres/index.html b/posts/solucion-a-numeros-libres/index.html
index bc41cb7..6c83995 100644
--- a/posts/solucion-a-numeros-libres/index.html
+++ b/posts/solucion-a-numeros-libres/index.html
@@ -9,6 +9,10 @@
 Para resolver este problema hacía falta tener en mente la definición de square-free. Como tanto $latex a$ y $latex b$ no son divisibles por el cuadrado de un primo, la única manera de que su producto deje de ser square-free sería que ambos compartieran un factor primo.
 Para obtener todos los puntos de la primer subtarea bastaba con computar $latex a \times b$ e iterar sobre todos los números menores a ese producto y revisar si es divisible por el cuadrado de alguno de ellos."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/solucion-a-panoramas/index.html b/posts/solucion-a-panoramas/index.html
index faef573..b030527 100644
--- a/posts/solucion-a-panoramas/index.html
+++ b/posts/solucion-a-panoramas/index.html
@@ -5,6 +5,10 @@
 El problema es un Steiner tree problem (un MST pero donde sólo hay que conectar un subconjunto de nodos) pero con costo por nodo en vez de por arista. El grafo de los panoramas es un árbol más un ciclo. Para un árbol una solución es poner como raíz a $latex s_1$ y para cada $latex s_i$ marcar los nodos en su camino hacia la raíz. Se puede usar DP o recursión para calcular el mínimo numero de vertices que conectan todos los nodos interesantes y pasan por la raíz para cada subárbol."><meta itemprop=datePublished content="2014-01-16T17:36:38+00:00"><meta itemprop=dateModified content="2014-01-16T17:36:38+00:00"><meta itemprop=wordCount content="259"><meta itemprop=keywords content="Solution,Etapa 1,Examen 17,Macs,Preselectivo,Solución,Soluciones Preselectivo 2013"><meta name=twitter:card content="summary"><meta name=twitter:title content='Solución a "Panoramas"'><meta name=twitter:description content="Concurso: Preselectivo para la IOI 2014, Etapa 1, Problemset 17 Autor: Miguel Ángel Covarrubias Fuente: Miguel Ángel Covarrubias
 El problema es un Steiner tree problem (un MST pero donde sólo hay que conectar un subconjunto de nodos) pero con costo por nodo en vez de por arista. El grafo de los panoramas es un árbol más un ciclo. Para un árbol una solución es poner como raíz a $latex s_1$ y para cada $latex s_i$ marcar los nodos en su camino hacia la raíz. Se puede usar DP o recursión para calcular el mínimo numero de vertices que conectan todos los nodos interesantes y pasan por la raíz para cada subárbol."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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-</span></span><span style=display:flex><span> <span style=color:#f92672>/</span>   <span style=color:#960050;background-color:#1e0010>\</span>\
-</span></span><span style=display:flex><span><span style=color:#ae81ff>1</span>     <span style=color:#ae81ff>0</span>
-</span></span><span style=display:flex><span> <span style=color:#960050;background-color:#1e0010>\\</span>   <span style=color:#f92672>/</span>
-</span></span><span style=display:flex><span>  <span style=color:#ae81ff>1</span><span style=color:#f92672>-</span><span style=color:#ae81ff>0</span></span></span></code></pre></div></div><div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0"><button class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50" title="Copiar código"><div class="copy-icon group-[.copied]/copybtn:hx-hidden hx-pointer-events-none hx-h-4 hx-w-4"></div><div class="success-icon hx-hidden group-[.copied]/copybtn:hx-block hx-pointer-events-none hx-h-4 hx-w-4"></div></button></div></div><p>Este código implementa la solución.</p><script src=https://gist.github.com/OlimpiadaMexicanadeInformatica/8468920.js></script></div><div class=hx-mt-16></div></main></article></div><footer class="hextra-footer hx-bg-gray-100 hx-pb-[env(safe-area-inset-bottom)] dark:hx-bg-neutral-900 print:hx-bg-transparent"><div class="hx-mx-auto hx-flex hx-gap-2 hx-py-2 hx-px-4 hx-max-w-screen-xl"><button title="Cambiar tema" data-theme=light class="theme-toggle hx-group hx-h-7 hx-rounded-md hx-px-2 hx-text-left hx-text-xs hx-font-medium hx-text-gray-600 hx-transition-colors dark:hx-text-gray-400 hover:hx-bg-gray-100 hover:hx-text-gray-900 dark:hover:hx-bg-primary-100/5 dark:hover:hx-text-gray-50" type=button aria-label="Cambiar tema"><div class="hx-flex hx-items-center hx-gap-2 hx-capitalize"><svg height="12" class="group-data-[theme=light]:hx-hidden" fill="none" viewBox="0 0 24 24" stroke-width="2" stroke="currentcolor" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" d="M12 3v1m0 16v1m9-9h-1M4 12H3m15.364 6.364-.707-.707M6.343 6.343l-.707-.707m12.728.0-.707.707M6.343 17.657l-.707.707M16 12a4 4 0 11-8 0 4 4 0 018 0z"/></svg><span class="group-data-[theme=light]:hx-hidden">Modo claro</span><svg height="12" class="group-data-[theme=dark]:hx-hidden" fill="none" viewBox="0 0 24 24" stroke-width="2" stroke="currentcolor" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" d="M20.354 15.354A9 9 0 018.646 3.646 9.003 9.003.0 0012 21a9.003 9.003.0 008.354-5.646z"/></svg><span class="group-data-[theme=dark]:hx-hidden">Modo oscuro</span></div></button></div><hr class=dark:hx-border-neutral-800><div class="hx-max-w-screen-xl hx-mx-auto hx-flex hx-justify-center hx-py-12 hx-pl-[max(env(safe-area-inset-left),1.5rem)] hx-pr-[max(env(safe-area-inset-right),1.5rem)] hx-text-gray-600 dark:hx-text-gray-400 md:hx-justify-start"><div class="hx-flex hx-w-full hx-flex-col hx-items-center sm:hx-items-start"><div class="hx-mt-6 hx-text-xs">Derechos reservados omegaUp © 2024.</div></div></div></footer><script defer src=/js/main.min.d0f0346255ba9418db8fcf7f9440ca4e532e06276d8df17497e19e1045ee360b.js integrity="sha256-0PA0YlW6lBjbj89/lEDKTlMuBidtjfF0l+GeEEXuNgs="></script><script defer src=/lib/flexsearch/flexsearch.bundle.min.e45e7eb129aae9f684e7f863bb7c1d612ea124b7068e12af80c58c62764a5379.js integrity="sha256-5F5+sSmq6faE5/hju3wdYS6hJLcGjhKvgMWMYnZKU3k="></script><script defer src=/es.search.min.22b690999814062b6c1f520ab1382c4b2dee00893bf5dea1e0d0415986c85591.js integrity="sha256-IraQmZgUBitsH1IKsTgsSy3uAIk79d6h4NBBWYbIVZE="></script></body></html>
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+</span></span><span class=line><span class=cl> <span class=o>/</span>   <span class=err>\</span>\
+</span></span><span class=line><span class=cl><span class=mi>1</span>     <span class=mi>0</span>
+</span></span><span class=line><span class=cl> <span class=err>\\</span>   <span class=o>/</span>
+</span></span><span class=line><span class=cl>  <span class=mi>1</span><span class=o>-</span><span class=mi>0</span></span></span></code></pre></div></div><div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0"><button class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50" title="Copiar código"><div class="copy-icon group-[.copied]/copybtn:hx-hidden hx-pointer-events-none hx-h-4 hx-w-4"></div><div class="success-icon hx-hidden group-[.copied]/copybtn:hx-block hx-pointer-events-none hx-h-4 hx-w-4"></div></button></div></div><p>Este código implementa la solución.</p><script src=https://gist.github.com/OlimpiadaMexicanadeInformatica/8468920.js></script></div><div class=hx-mt-16></div></main></article></div><footer class="hextra-footer hx-bg-gray-100 hx-pb-[env(safe-area-inset-bottom)] dark:hx-bg-neutral-900 print:hx-bg-transparent"><div class="hx-mx-auto hx-flex hx-gap-2 hx-py-2 hx-px-4 hx-max-w-screen-xl"><button title="Cambiar tema" data-theme=light class="theme-toggle hx-group hx-h-7 hx-rounded-md hx-px-2 hx-text-left hx-text-xs hx-font-medium hx-text-gray-600 hx-transition-colors dark:hx-text-gray-400 hover:hx-bg-gray-100 hover:hx-text-gray-900 dark:hover:hx-bg-primary-100/5 dark:hover:hx-text-gray-50" type=button aria-label="Cambiar tema"><div class="hx-flex hx-items-center hx-gap-2 hx-capitalize"><svg height="12" class="group-data-[theme=light]:hx-hidden" fill="none" viewBox="0 0 24 24" stroke-width="2" stroke="currentcolor" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" d="M12 3v1m0 16v1m9-9h-1M4 12H3m15.364 6.364-.707-.707M6.343 6.343l-.707-.707m12.728.0-.707.707M6.343 17.657l-.707.707M16 12a4 4 0 11-8 0 4 4 0 018 0z"/></svg><span class="group-data-[theme=light]:hx-hidden">Modo claro</span><svg height="12" class="group-data-[theme=dark]:hx-hidden" fill="none" viewBox="0 0 24 24" stroke-width="2" stroke="currentcolor" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" d="M20.354 15.354A9 9 0 018.646 3.646 9.003 9.003.0 0012 21a9.003 9.003.0 008.354-5.646z"/></svg><span class="group-data-[theme=dark]:hx-hidden">Modo oscuro</span></div></button></div><hr class=dark:hx-border-neutral-800><div class="hx-max-w-screen-xl hx-mx-auto hx-flex hx-justify-center hx-py-12 hx-pl-[max(env(safe-area-inset-left),1.5rem)] hx-pr-[max(env(safe-area-inset-right),1.5rem)] hx-text-gray-600 dark:hx-text-gray-400 md:hx-justify-start"><div class="hx-flex hx-w-full hx-flex-col hx-items-center sm:hx-items-start"><div class="hx-mt-6 hx-text-xs">Derechos reservados omegaUp © 2024.</div></div></div></footer><script defer src=/js/main.min.d0f0346255ba9418db8fcf7f9440ca4e532e06276d8df17497e19e1045ee360b.js integrity="sha256-0PA0YlW6lBjbj89/lEDKTlMuBidtjfF0l+GeEEXuNgs="></script><script defer src=/lib/flexsearch/flexsearch.bundle.min.e45e7eb129aae9f684e7f863bb7c1d612ea124b7068e12af80c58c62764a5379.js integrity="sha256-5F5+sSmq6faE5/hju3wdYS6hJLcGjhKvgMWMYnZKU3k="></script><script defer src=/es.search.min.22b690999814062b6c1f520ab1382c4b2dee00893bf5dea1e0d0415986c85591.js integrity="sha256-IraQmZgUBitsH1IKsTgsSy3uAIk79d6h4NBBWYbIVZE="></script></body></html>
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diff --git a/posts/solucion-a-planetas/index.html b/posts/solucion-a-planetas/index.html
index f152831..1d0f924 100644
--- a/posts/solucion-a-planetas/index.html
+++ b/posts/solucion-a-planetas/index.html
@@ -5,6 +5,10 @@
 La observación principal de este problema es que siempre hay $latex N-1$ lugares estables para el meteorito, y que cada uno de éstos se encuentra entre parejas consecutivas de planetas. Primero notemos que ningún lugar estable puede estar más a izquierda que todos los planetas, ya que la fuerza neta sobre éste lo haría moverse a la derecha. Por la misma razón, no pueden haber lugares estables después del último planeta hacia la derecha."><meta itemprop=datePublished content="2014-08-10T05:16:54+00:00"><meta itemprop=dateModified content="2014-08-10T05:16:54+00:00"><meta itemprop=wordCount content="384"><meta itemprop=keywords content="Solution,Uncategorized"><meta name=twitter:card content="summary"><meta name=twitter:title content='Solución a "Planetas"'><meta name=twitter:description content="Concurso: Preselectivo para la IOI 2015, Etapa 1, Problemset 4 Autor: Freddy Román Cepeda Fuente: Edgar Augusto Santiago Nieves
 La observación principal de este problema es que siempre hay $latex N-1$ lugares estables para el meteorito, y que cada uno de éstos se encuentra entre parejas consecutivas de planetas. Primero notemos que ningún lugar estable puede estar más a izquierda que todos los planetas, ya que la fuerza neta sobre éste lo haría moverse a la derecha. Por la misma razón, no pueden haber lugares estables después del último planeta hacia la derecha."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/solucion-a-poema-equino/index.html b/posts/solucion-a-poema-equino/index.html
index c8d0c20..7f600a2 100644
--- a/posts/solucion-a-poema-equino/index.html
+++ b/posts/solucion-a-poema-equino/index.html
@@ -9,6 +9,10 @@
 Los límites de este problema permitían hacer una búsqueda sobre todos los estados posibles de los caballos sobre el teclado, ya que si el estado es $latex (\text{poema},\text{fila caballo}_1,\text{columna caballo}_1,\text{fila caballo}_2,\text{columna caballo}_2)$, solamente hay $latex 100 \times (4 \times 10)^2 = 160,000$ estados distintos.
 Además, como el problema no pide la cantidad mínima de movimientos no hace falta hacer una BFS (búsqueda en amplitud), sino que una DFS (búsqueda en profundidad) utilizando el mismo stack del lenguaje es suficiente. Para simplificar la implementación, se podían utilizar varias observaciones. Particularmente, no importa qué caballo es el 1 o el 2, por lo que en vez de escribir código para mover a ambos basta con añadir una transición que cambie los roles de los caballos en cada estado. Esto además de simplificar la implementación sirve como una poda ya que ¡reduce la cantidad de estados a la mitad! (¿por qué?). También, se puede aprovechar que los operadores booleanos en C/C++ evalúan a 1 cuando son verdaderos y a 0 cuando son falsos, lo cual es bastante útil para indexar arreglos."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/solucion-a-problema/index.html b/posts/solucion-a-problema/index.html
index c58f5c8..144d30c 100644
--- a/posts/solucion-a-problema/index.html
+++ b/posts/solucion-a-problema/index.html
@@ -9,6 +9,10 @@
 Primero, dado una secuencia $latex A$ denotaremos por $latex s(A)$ a la suma de los elementos de A. Entonces podemos replantear el problema como: Dada una secuencia $latex S$ debemos de econtrar una subsecuencia $latex A$ de $latex S$ tal que $latex s(A) - (s(S) - s(A))$ sea la minima posible.
 Ahora, como $latex s(A) - (s(S) - s(A)) = 2 \times s(A) - s(S)$, entonces tenemos que minimizar $latex 2 \times s(A) - s(S)$ que es lo mismo que minimizar $latex s(A) - s(S)/2$. O sea, debemos de encontrar una subsecuencia $latex A$ cuya suma esté lo más cercana a la mitad de la suma de $latex S$, en particular podemos restringir nuestra búsqueda a las subsecuencias cuya suma sea menor o igual a $latex s(S)/2$."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/solucion-a-quimicos/index.html b/posts/solucion-a-quimicos/index.html
index 660c514..af0351f 100644
--- a/posts/solucion-a-quimicos/index.html
+++ b/posts/solucion-a-quimicos/index.html
@@ -9,6 +9,10 @@
 Éste es un problema que tiene una solución elegante y determinística pero requiere algoritmos avanzados bastante complicados. Lo bueno es que es posible aproximar a la solución utilizando fuerza bruta mediante backtracking.
 El problema nos pide encontrar una manera de asignar sustancias a los tubos y después mezclarlas con las dos operaciones disponibles (suma y diferencia absoluta) para terminar con un acomodo homogéneo de sustancias: la diferencia entre el tubo con más cantidad y con menos cantidad de sustancia debe ser lo más pequeña posible. Una manera de hacerlo es proponer un intervalo $latex [a,b]$ y ver si es posible asignar sustancias y aparear los tubos de manera que la cantidad de sustancia resultante de la mezcla en todos los tubos esté contenido dentro del intervalo. Para acelerar el proceso, puedes elegir los intervalos haciendo una búsqueda binaria de acuerdo a su ancho $latex b-a$, porque a fin de cuentas lo que nos pide el problema es precisamente el ancho mínimo. Para cada intervalo propuesto $latex [a,b]$, podemos hacer un grafo con $latex 2N$ nodos (uno para cada tubo), agregando un arco entre dos nodos $latex A$ y $latex B$ si $latex A+B\in[a,b]$ ó $latex |A-B|\in[a,b]$. Después, buscamos un apareamiento máximo en el grafo: buscamos el conjunto de arcos con cardinalidad máxima tal que cada nodo tenga a lo más un arco incidente. Esto se puede encontrar con el algoritmo de Edmonds (también conocido como el Blossom algorithm por la forma de los ciclos de longitud impar) en tiempo $latex O(|2N|^4)$, lo cual encontraría todas las soluciones en solo un par de segundos."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/solucion-a-splatoon/index.html b/posts/solucion-a-splatoon/index.html
index cd748a5..af12a38 100644
--- a/posts/solucion-a-splatoon/index.html
+++ b/posts/solucion-a-splatoon/index.html
@@ -9,6 +9,10 @@
 Este problema pide llevar a un inkling desde el inicio de una calle hasta el final siguiendo sus reglas de movimiento.
 Ignoremos por un momento el hecho de que los inklings pueden pintar el piso y con ello alterar la calle en donde se realiza la carrera. Si los inklings no tuvieran esta habilidad, se puede hacer un algoritmo de fuerza bruta intentando todas las operaciones posibles, es decir, hacer una búsqueda en amplitud para encontrar el camino más corto, en donde el estado está representado únicamente por la posición en donde se encuentre el inkling."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/solucion-a-suma-manhattan/index.html b/posts/solucion-a-suma-manhattan/index.html
index f3ea0bb..515bbe1 100644
--- a/posts/solucion-a-suma-manhattan/index.html
+++ b/posts/solucion-a-suma-manhattan/index.html
@@ -13,6 +13,10 @@
 $latex \sum_{0 \leq i < j < N} manhattan(S_i,S_j).$
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diff --git a/posts/solucion-a-super-nieves-bros/index.html b/posts/solucion-a-super-nieves-bros/index.html
index 5b218fc..50957ea 100644
--- a/posts/solucion-a-super-nieves-bros/index.html
+++ b/posts/solucion-a-super-nieves-bros/index.html
@@ -9,6 +9,10 @@
 Este problema es una adaptación del problema ArcadeManao que apareció en el SRM 576 (Abril 2013) de Topcoder. Los detalles de la solución explicada la pueden en el respectivo Match Summary.
 La idea general de este problema es muy sencilla: En base a los límites, la primera observación es que el mapa no es muy grande y en el peor caso, la escalera más alta es de tamaño 50. Hay que notar que no nos piden la ruta más corta para capturar la moneda, más bien cuál es el menor tamaño con el que podemos llegar."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/solucion-a-teclado-roto/index.html b/posts/solucion-a-teclado-roto/index.html
index ffd7f24..487ed1f 100644
--- a/posts/solucion-a-teclado-roto/index.html
+++ b/posts/solucion-a-teclado-roto/index.html
@@ -9,6 +9,10 @@
 Los temas para el examen donde apareció este problema eran pilas, colas y búsqueda binaria. Después de haber estudiado los temas, es buena idea combinar la teoría aprendida.
 El problema del teclado roto describe una serie de operaciones en las que es necesaria una estructura en la que sea posible agregar elementos por ambos lados (izquierda y derecha). La descripción del problema muestra las restricciones, que no superan los 100, 000 elementos, por lo que es posible hacer un arreglo estático de caracteres de ese tamaño."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/solucion-a-temblor/index.html b/posts/solucion-a-temblor/index.html
index 9a8d134..a099052 100644
--- a/posts/solucion-a-temblor/index.html
+++ b/posts/solucion-a-temblor/index.html
@@ -14,6 +14,10 @@
 Este es el caso de ejemplo:
 La solución correcta es ONNEE, pues con esas instrucciones, podemos salir no importando en que lugar estemos (el lugar inicial está marcado con un punto rojo):"><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/solucion-a-ubongo-3d/index.html b/posts/solucion-a-ubongo-3d/index.html
index a33c5b4..78a410d 100644
--- a/posts/solucion-a-ubongo-3d/index.html
+++ b/posts/solucion-a-ubongo-3d/index.html
@@ -30,6 +30,10 @@
 La solución pone piezas de manera recursiva mientras quepan en el tablero y no se empalmen.
 resuelve(pieza) si pieza > P regresa “Si” para cada rotación de la pieza para cada casilla g del tablero para cada cubo c de la pieza si al poner c sobre g, la pieza queda dentro de los primeros 2 niveles del tablero y no se empalma con otra pieza ya puesta entonces marca las posiciones de los cubos de la pieza como ocupados resuelve(pieza + 1) desmarca los cubos de la pieza Para rotar una pieza se puede rotar por $latex 0^o$, $latex 90^o$, $latex 180^o$ o $latex 270^o$ alrededor de cada eje. El número de operaciones es aproximadamente (número de rotaciones * número de casillas del tablero * número de cubos de una pieza)$latex ^3 \le (24 * 7 * 5)^3 < 600,000,000$. En los casos de prueba y en el juego todas las soluciones tocan la base del tablero, si no fuera así, solo hay que duplicar el 7 a 14. Para checar si una pieza se puede poner en cierta posición se pueden usar mascaras de bits para los niveles del tablero y para las posiciones ocupadas. Para poner la última pieza se puede comparar todas las rotaciones de los cubos no ocupados contra la última pieza y la complejidad cubica de la solución se reduce a cuadrática."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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-</span></span><span style=display:flex><span>    si pieza <span style=color:#f92672>&gt;</span> P
-</span></span><span style=display:flex><span>        regresa <span style=color:#960050;background-color:#1e0010>“</span>Si<span style=color:#960050;background-color:#1e0010>”</span>
-</span></span><span style=display:flex><span>    para cada rotación de la pieza
-</span></span><span style=display:flex><span>        para cada casilla g del tablero
-</span></span><span style=display:flex><span>            para cada cubo c de la pieza
-</span></span><span style=display:flex><span>                si al poner c sobre g, la pieza queda dentro de los primeros <span style=color:#ae81ff>2</span> niveles del tablero y no se empalma con otra pieza ya puesta entonces
-</span></span><span style=display:flex><span>                    marca las posiciones de los cubos de la pieza como ocupados
-</span></span><span style=display:flex><span>                    resuelve(pieza <span style=color:#f92672>+</span> <span style=color:#ae81ff>1</span>)
-</span></span><span style=display:flex><span>                    desmarca los cubos de la pieza</span></span></code></pre></div></div><div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0"><button class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50" title="Copiar código"><div class="copy-icon group-[.copied]/copybtn:hx-hidden hx-pointer-events-none hx-h-4 hx-w-4"></div><div class="success-icon hx-hidden group-[.copied]/copybtn:hx-block hx-pointer-events-none hx-h-4 hx-w-4"></div></button></div></div><p>Para rotar una pieza se puede rotar por $latex 0^o$, $latex 90^o$, $latex 180^o$ o $latex 270^o$ alrededor de cada eje. El número de operaciones es aproximadamente (número de rotaciones * número de casillas del tablero * número de cubos de una pieza)$latex ^3 \le (24 * 7 * 5)^3 &lt; 600,000,000$. En los casos de prueba y en el juego todas las soluciones tocan la base del tablero, si no fuera así, solo hay que duplicar el 7 a 14. Para checar si una pieza se puede poner en cierta posición se pueden usar mascaras de bits para los niveles del tablero y para las posiciones ocupadas. Para poner la última pieza se puede comparar todas las rotaciones de los cubos no ocupados contra la última pieza y la complejidad cubica de la solución se reduce a cuadrática.</p><script src=https://gist.github.com/OlimpiadaMexicanadeInformatica/6558928.js></script></div><div class=hx-mt-16></div></main></article></div><footer class="hextra-footer hx-bg-gray-100 hx-pb-[env(safe-area-inset-bottom)] dark:hx-bg-neutral-900 print:hx-bg-transparent"><div class="hx-mx-auto hx-flex hx-gap-2 hx-py-2 hx-px-4 hx-max-w-screen-xl"><button title="Cambiar tema" data-theme=light class="theme-toggle hx-group hx-h-7 hx-rounded-md hx-px-2 hx-text-left hx-text-xs hx-font-medium hx-text-gray-600 hx-transition-colors dark:hx-text-gray-400 hover:hx-bg-gray-100 hover:hx-text-gray-900 dark:hover:hx-bg-primary-100/5 dark:hover:hx-text-gray-50" type=button aria-label="Cambiar tema"><div class="hx-flex hx-items-center hx-gap-2 hx-capitalize"><svg height="12" class="group-data-[theme=light]:hx-hidden" fill="none" viewBox="0 0 24 24" stroke-width="2" stroke="currentcolor" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" d="M12 3v1m0 16v1m9-9h-1M4 12H3m15.364 6.364-.707-.707M6.343 6.343l-.707-.707m12.728.0-.707.707M6.343 17.657l-.707.707M16 12a4 4 0 11-8 0 4 4 0 018 0z"/></svg><span class="group-data-[theme=light]:hx-hidden">Modo claro</span><svg height="12" class="group-data-[theme=dark]:hx-hidden" fill="none" viewBox="0 0 24 24" stroke-width="2" stroke="currentcolor" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" d="M20.354 15.354A9 9 0 018.646 3.646 9.003 9.003.0 0012 21a9.003 9.003.0 008.354-5.646z"/></svg><span class="group-data-[theme=dark]:hx-hidden">Modo oscuro</span></div></button></div><hr class=dark:hx-border-neutral-800><div class="hx-max-w-screen-xl hx-mx-auto hx-flex hx-justify-center hx-py-12 hx-pl-[max(env(safe-area-inset-left),1.5rem)] hx-pr-[max(env(safe-area-inset-right),1.5rem)] hx-text-gray-600 dark:hx-text-gray-400 md:hx-justify-start"><div class="hx-flex hx-w-full hx-flex-col hx-items-center sm:hx-items-start"><div class="hx-mt-6 hx-text-xs">Derechos reservados omegaUp © 2024.</div></div></div></footer><script defer src=/js/main.min.d0f0346255ba9418db8fcf7f9440ca4e532e06276d8df17497e19e1045ee360b.js integrity="sha256-0PA0YlW6lBjbj89/lEDKTlMuBidtjfF0l+GeEEXuNgs="></script><script defer src=/lib/flexsearch/flexsearch.bundle.min.e45e7eb129aae9f684e7f863bb7c1d612ea124b7068e12af80c58c62764a5379.js integrity="sha256-5F5+sSmq6faE5/hju3wdYS6hJLcGjhKvgMWMYnZKU3k="></script><script defer src=/es.search.min.22b690999814062b6c1f520ab1382c4b2dee00893bf5dea1e0d0415986c85591.js integrity="sha256-IraQmZgUBitsH1IKsTgsSy3uAIk79d6h4NBBWYbIVZE="></script></body></html>
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+<span>Ir al inicio</span><svg fill="none" viewBox="0 0 24 24" stroke-width="1.5" stroke="currentcolor" class="hx-inline ltr:hx-ml-1 rtl:hx-mr-1 hx-h-3.5 hx-w-3.5 hx-border hx-rounded-full hx-border-gray-500 hover:hx-border-gray-900 dark:hx-border-gray-400 dark:hover:hx-border-gray-100 contrast-more:hx-border-gray-800 contrast-more:dark:hx-border-gray-50"><path stroke-linecap="round" stroke-linejoin="round" d="M4.5 15.75l7.5-7.5 7.5 7.5"/></svg></button></div></div></nav><article class="hx-w-full hx-break-words hx-flex hx-min-h-[calc(100vh-var(--navbar-height))] hx-min-w-0 hx-justify-center hx-pb-8 hx-pr-[calc(env(safe-area-inset-right)-1.5rem)]"><main class="hx-w-full hx-min-w-0 hx-max-w-6xl hx-px-6 hx-pt-4 md:hx-px-12"><br class="hx-mt-1.5 hx-text-sm"><h1 class="hx-text-center hx-mt-2 hx-text-4xl hx-font-bold hx-tracking-tight hx-text-slate-900 dark:hx-text-slate-100">Solución a "Ubongo 3D"</h1><div class=hx-mb-16></div><div class=content><p><strong>Concurso:</strong> <a href=https://omegaup.com/arena/problem/ubongo-3d target=_blank rel=noopener>Preselectivo para la IOI 2014, Etapa 1, Problemset 8</a> <strong>Autor:</strong> Miguel Covarrubias <strong>Fuente:</strong> Miguel Covarrubias</p><p>La solución pone piezas de manera recursiva mientras quepan en el tablero y no se empalmen.</p><div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code"><div><div class=highlight><pre tabindex=0 class=chroma><code class=language-cpp data-lang=cpp><span class=line><span class=cl><span class=n>resuelve</span><span class=p>(</span><span class=n>pieza</span><span class=p>)</span>
+</span></span><span class=line><span class=cl>    <span class=n>si</span> <span class=n>pieza</span> <span class=o>&gt;</span> <span class=n>P</span>
+</span></span><span class=line><span class=cl>        <span class=n>regresa</span> <span class=err>“</span><span class=n>Si</span><span class=err>”</span>
+</span></span><span class=line><span class=cl>    <span class=n>para</span> <span class=n>cada</span> <span class=n>rotación</span> <span class=n>de</span> <span class=n>la</span> <span class=n>pieza</span>
+</span></span><span class=line><span class=cl>        <span class=n>para</span> <span class=n>cada</span> <span class=n>casilla</span> <span class=n>g</span> <span class=n>del</span> <span class=n>tablero</span>
+</span></span><span class=line><span class=cl>            <span class=n>para</span> <span class=n>cada</span> <span class=n>cubo</span> <span class=n>c</span> <span class=n>de</span> <span class=n>la</span> <span class=n>pieza</span>
+</span></span><span class=line><span class=cl>                <span class=n>si</span> <span class=n>al</span> <span class=n>poner</span> <span class=n>c</span> <span class=n>sobre</span> <span class=n>g</span><span class=p>,</span> <span class=n>la</span> <span class=n>pieza</span> <span class=n>queda</span> <span class=n>dentro</span> <span class=n>de</span> <span class=n>los</span> <span class=n>primeros</span> <span class=mi>2</span> <span class=n>niveles</span> <span class=n>del</span> <span class=n>tablero</span> <span class=n>y</span> <span class=n>no</span> <span class=n>se</span> <span class=n>empalma</span> <span class=n>con</span> <span class=n>otra</span> <span class=n>pieza</span> <span class=n>ya</span> <span class=n>puesta</span> <span class=n>entonces</span>
+</span></span><span class=line><span class=cl>                    <span class=n>marca</span> <span class=n>las</span> <span class=n>posiciones</span> <span class=n>de</span> <span class=n>los</span> <span class=n>cubos</span> <span class=n>de</span> <span class=n>la</span> <span class=n>pieza</span> <span class=n>como</span> <span class=n>ocupados</span>
+</span></span><span class=line><span class=cl>                    <span class=n>resuelve</span><span class=p>(</span><span class=n>pieza</span> <span class=o>+</span> <span class=mi>1</span><span class=p>)</span>
+</span></span><span class=line><span class=cl>                    <span class=n>desmarca</span> <span class=n>los</span> <span class=n>cubos</span> <span class=n>de</span> <span class=n>la</span> <span class=n>pieza</span></span></span></code></pre></div></div><div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0"><button class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50" title="Copiar código"><div class="copy-icon group-[.copied]/copybtn:hx-hidden hx-pointer-events-none hx-h-4 hx-w-4"></div><div class="success-icon hx-hidden group-[.copied]/copybtn:hx-block hx-pointer-events-none hx-h-4 hx-w-4"></div></button></div></div><p>Para rotar una pieza se puede rotar por $latex 0^o$, $latex 90^o$, $latex 180^o$ o $latex 270^o$ alrededor de cada eje. El número de operaciones es aproximadamente (número de rotaciones * número de casillas del tablero * número de cubos de una pieza)$latex ^3 \le (24 * 7 * 5)^3 &lt; 600,000,000$. En los casos de prueba y en el juego todas las soluciones tocan la base del tablero, si no fuera así, solo hay que duplicar el 7 a 14. Para checar si una pieza se puede poner en cierta posición se pueden usar mascaras de bits para los niveles del tablero y para las posiciones ocupadas. Para poner la última pieza se puede comparar todas las rotaciones de los cubos no ocupados contra la última pieza y la complejidad cubica de la solución se reduce a cuadrática.</p><script src=https://gist.github.com/OlimpiadaMexicanadeInformatica/6558928.js></script></div><div class=hx-mt-16></div></main></article></div><footer class="hextra-footer hx-bg-gray-100 hx-pb-[env(safe-area-inset-bottom)] dark:hx-bg-neutral-900 print:hx-bg-transparent"><div class="hx-mx-auto hx-flex hx-gap-2 hx-py-2 hx-px-4 hx-max-w-screen-xl"><button title="Cambiar tema" data-theme=light class="theme-toggle hx-group hx-h-7 hx-rounded-md hx-px-2 hx-text-left hx-text-xs hx-font-medium hx-text-gray-600 hx-transition-colors dark:hx-text-gray-400 hover:hx-bg-gray-100 hover:hx-text-gray-900 dark:hover:hx-bg-primary-100/5 dark:hover:hx-text-gray-50" type=button aria-label="Cambiar tema"><div class="hx-flex hx-items-center hx-gap-2 hx-capitalize"><svg height="12" class="group-data-[theme=light]:hx-hidden" fill="none" viewBox="0 0 24 24" stroke-width="2" stroke="currentcolor" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" d="M12 3v1m0 16v1m9-9h-1M4 12H3m15.364 6.364-.707-.707M6.343 6.343l-.707-.707m12.728.0-.707.707M6.343 17.657l-.707.707M16 12a4 4 0 11-8 0 4 4 0 018 0z"/></svg><span class="group-data-[theme=light]:hx-hidden">Modo claro</span><svg height="12" class="group-data-[theme=dark]:hx-hidden" fill="none" viewBox="0 0 24 24" stroke-width="2" stroke="currentcolor" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" d="M20.354 15.354A9 9 0 018.646 3.646 9.003 9.003.0 0012 21a9.003 9.003.0 008.354-5.646z"/></svg><span class="group-data-[theme=dark]:hx-hidden">Modo oscuro</span></div></button></div><hr class=dark:hx-border-neutral-800><div class="hx-max-w-screen-xl hx-mx-auto hx-flex hx-justify-center hx-py-12 hx-pl-[max(env(safe-area-inset-left),1.5rem)] hx-pr-[max(env(safe-area-inset-right),1.5rem)] hx-text-gray-600 dark:hx-text-gray-400 md:hx-justify-start"><div class="hx-flex hx-w-full hx-flex-col hx-items-center sm:hx-items-start"><div class="hx-mt-6 hx-text-xs">Derechos reservados omegaUp © 2024.</div></div></div></footer><script defer src=/js/main.min.d0f0346255ba9418db8fcf7f9440ca4e532e06276d8df17497e19e1045ee360b.js integrity="sha256-0PA0YlW6lBjbj89/lEDKTlMuBidtjfF0l+GeEEXuNgs="></script><script defer src=/lib/flexsearch/flexsearch.bundle.min.e45e7eb129aae9f684e7f863bb7c1d612ea124b7068e12af80c58c62764a5379.js integrity="sha256-5F5+sSmq6faE5/hju3wdYS6hJLcGjhKvgMWMYnZKU3k="></script><script defer src=/es.search.min.22b690999814062b6c1f520ab1382c4b2dee00893bf5dea1e0d0415986c85591.js integrity="sha256-IraQmZgUBitsH1IKsTgsSy3uAIk79d6h4NBBWYbIVZE="></script></body></html>
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diff --git a/posts/solucion-alternativa-a-decepcion/index.html b/posts/solucion-alternativa-a-decepcion/index.html
index d7463ce..6b21f8c 100644
--- a/posts/solucion-alternativa-a-decepcion/index.html
+++ b/posts/solucion-alternativa-a-decepcion/index.html
@@ -9,6 +9,10 @@
 Esta es una solución alternativa al problema. La solución pensada originalmente consiste en una búsqueda podada. Sin embargo, esta solución corre en tiempo y memoria $latex O(N^2)$, mucho mejor de lo necesario para obtener todos los puntos.
 Podemos dividir el problema a la mitad con una observación simple: la torre más alta debe verse desde ambos lados. Además, no dejará que el resto de las torres que ocurren después de ella se vean. Podemos aprovechar este hecho para separar el problema en dos partes: izquierda y derecha. Si $latex f(n,m)$ cuenta de cuántas maneras se pueden poner $latex n$ torres de tal manera de que sólo $latex m$ se pueden ver de un lado, la respuesta que queremos es $latex \sum_{i=0}^{N-1} ({N-1 \choose i} * f(i,F-1) * f(N-i-1,B-1))$."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/solucion-de-el-concierto-de-dr-lira/index.html b/posts/solucion-de-el-concierto-de-dr-lira/index.html
index 4649eeb..3238059 100644
--- a/posts/solucion-de-el-concierto-de-dr-lira/index.html
+++ b/posts/solucion-de-el-concierto-de-dr-lira/index.html
@@ -9,6 +9,10 @@
 El Concierto de Dr. Lira es una adaptación al problema Changing Sounds que apareció en el SRM 366 (2007, ya llovió) en TopCoder. La solución explicada la pueden encontrar en el Match Summary (necesitan registrarse en omegaUp para verlo).
 Les dejo la implementación de spleensarethebest como un muy bien ejemplo de solución a este problema. Cualquier duda, déjenos un comentario."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/soluciones-a-liga-omegaup-fase-1/index.html b/posts/soluciones-a-liga-omegaup-fase-1/index.html
index 7b44703..bba9071 100644
--- a/posts/soluciones-a-liga-omegaup-fase-1/index.html
+++ b/posts/soluciones-a-liga-omegaup-fase-1/index.html
@@ -20,6 +20,10 @@
 Problema B Si consideramos el mismo arreglo de ocurrencias $O$ sobre los elementos del arreglo, la respuesta está dada por $O_k$.
 Problema C Podemos generar todos los elementos de la secuencia de Fibonacci hasta $30000$, y guardarlos en un mapa $M$, de modo que $M_k = 1$ si $k$ es un elemento de Fibonnaci, y $M_k = 0$ en caso contrario. Generamos la respuesta simplemente iterando desde $i = 4$ hasta $i = N - 1$, e imprimimos $i$ si $M_i = 0$."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/soluciones-a-liga-omegaup-fase-2/index.html b/posts/soluciones-a-liga-omegaup-fase-2/index.html
index b240412..116a67d 100644
--- a/posts/soluciones-a-liga-omegaup-fase-2/index.html
+++ b/posts/soluciones-a-liga-omegaup-fase-2/index.html
@@ -14,6 +14,10 @@
 Si $p \leq n$, entonces $(w$ % $p) < n$. Así que el máximo residuo posible es $n - 1$. Si $w$ satisface la condición del enunciado, entonces hay $n - 1$ diferentes residuos, luego los residuos son un subconjunto de $n - 1$ elementos, de la colección $\lbrace 0, 1, \ldots , n - 1\rbrace$. El mínimo común múltiplo de $1, 2, \ldots , n$ es mayor o igual al producto de los primos menores o iguales a $ n$. El producto de los primos menores o iguales a $50$ es mayor a $10^{18}$ Veamos el caso donde $0$ no forma parte de los residuos. De 1, vemos que"><meta itemprop=datePublished content="2020-04-19T08:05:15+00:00"><meta itemprop=dateModified content="2020-04-19T08:05:15+00:00"><meta itemprop=wordCount content="1273"><meta itemprop=keywords content="Solution,Concursos,Liga Omegaup,Material De Estudio,Solución"><meta name=twitter:card content="summary"><meta name=twitter:title content="Soluciones de la Fase 2 de la Liga de Programación omegaUp"><meta name=twitter:description content="Problema A Las siguientes observaciones son claves para resolver el problema.
 Si $p \leq n$, entonces $(w$ % $p) < n$. Así que el máximo residuo posible es $n - 1$. Si $w$ satisface la condición del enunciado, entonces hay $n - 1$ diferentes residuos, luego los residuos son un subconjunto de $n - 1$ elementos, de la colección $\lbrace 0, 1, \ldots , n - 1\rbrace$. El mínimo común múltiplo de $1, 2, \ldots , n$ es mayor o igual al producto de los primos menores o iguales a $ n$. El producto de los primos menores o iguales a $50$ es mayor a $10^{18}$ Veamos el caso donde $0$ no forma parte de los residuos. De 1, vemos que"><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/soluciones-de-problemas-en-omegaup/index.html b/posts/soluciones-de-problemas-en-omegaup/index.html
index 7538061..d7fbd6f 100644
--- a/posts/soluciones-de-problemas-en-omegaup/index.html
+++ b/posts/soluciones-de-problemas-en-omegaup/index.html
@@ -10,6 +10,10 @@
 En la vista de problema, en la parte superior podemos ver dos pestañas, Problema y Ver Solución.
 Si ya resolviste el problema y quieres comparar tu solución con la solución oficial, al dar click en la pestaña de Ver Solución, verás el botón de Ver Solución con el icono de un candado abierto."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/posts/summary-of-mathematical-background-for-computer-science/index.html b/posts/summary-of-mathematical-background-for-computer-science/index.html
index 8dfab22..23fee45 100644
--- a/posts/summary-of-mathematical-background-for-computer-science/index.html
+++ b/posts/summary-of-mathematical-background-for-computer-science/index.html
@@ -5,6 +5,10 @@
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 hx-text-gray-500 hover:hx-bg-gray-100 hover:hx-text-gray-900 contrast-more:hx-border contrast-more:hx-border-transparent contrast-more:hx-text-gray-900 contrast-more:hover:hx-border-gray-900 dark:hx-text-neutral-400 dark:hover:hx-bg-primary-100/5 dark:hover:hx-text-gray-50 contrast-more:dark:hx-text-gray-50 contrast-more:dark:hover:hx-border-gray-50" href=/posts/>Entradas del blog omegaUp
diff --git a/posts/todos-los-videos-del-curso-de-introduccion-a-c/index.html b/posts/todos-los-videos-del-curso-de-introduccion-a-c/index.html
index 99e59e5..7c20169 100644
--- a/posts/todos-los-videos-del-curso-de-introduccion-a-c/index.html
+++ b/posts/todos-los-videos-del-curso-de-introduccion-a-c/index.html
@@ -13,6 +13,10 @@
 El material del curso está disponible de forma abierta y gratuita en la plataforma de omegaUp y puedes acceder en este enlace (https://omegaup.com/course/introduccion_a_cpp) para ver el material y resolver los ejercicios en línea.
 Aquí te dejamos un enlace a todos los videos y estaremos actualizando este post con cada video nuevo en la serie:"><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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 hx-text-gray-500 hover:hx-bg-gray-100 hover:hx-text-gray-900 contrast-more:hx-border contrast-more:hx-border-transparent contrast-more:hx-text-gray-900 contrast-more:hover:hx-border-gray-900 dark:hx-text-neutral-400 dark:hover:hx-bg-primary-100/5 dark:hover:hx-text-gray-50 contrast-more:dark:hx-text-gray-50 contrast-more:dark:hover:hx-border-gray-50" href=/posts/>Entradas del blog omegaUp
diff --git a/posts/trucos-cool/index.html b/posts/trucos-cool/index.html
index 4ec066b..0b635a8 100644
--- a/posts/trucos-cool/index.html
+++ b/posts/trucos-cool/index.html
@@ -9,6 +9,10 @@
 ¿Cansado de importar librerías como asíatico en TopCoder? ¡Aquí está la solución!
 Muchas veces es nefasto encontrar varios (sino es que miles) errores al compilar a causa de librerías que hemos olvidado incluir. Existe una librería que, al incluirla, agrega todas las librerías estándar de C++ a nuestro código, ¡incluso las de la STL!"><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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@@ -126,14 +130,14 @@
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-<span>Ir al inicio</span><svg fill="none" viewBox="0 0 24 24" stroke-width="1.5" stroke="currentcolor" class="hx-inline ltr:hx-ml-1 rtl:hx-mr-1 hx-h-3.5 hx-w-3.5 hx-border hx-rounded-full hx-border-gray-500 hover:hx-border-gray-900 dark:hx-border-gray-400 dark:hover:hx-border-gray-100 contrast-more:hx-border-gray-800 contrast-more:dark:hx-border-gray-50"><path stroke-linecap="round" stroke-linejoin="round" d="M4.5 15.75l7.5-7.5 7.5 7.5"/></svg></button></div></div></nav><article class="hx-w-full hx-break-words hx-flex hx-min-h-[calc(100vh-var(--navbar-height))] hx-min-w-0 hx-justify-center hx-pb-8 hx-pr-[calc(env(safe-area-inset-right)-1.5rem)]"><main class="hx-w-full hx-min-w-0 hx-max-w-6xl hx-px-6 hx-pt-4 md:hx-px-12"><br class="hx-mt-1.5 hx-text-sm"><h1 class="hx-text-center hx-mt-2 hx-text-4xl hx-font-bold hx-tracking-tight hx-text-slate-900 dark:hx-text-slate-100">Trucos para ser más cool</h1><div class=hx-mb-16></div><div class=content><p>Después de un rato de investigación y experimentación, por fin me tomo el tiempo para escribir este post y presentarles algunos trucos que, considero, podrían ayudarles a simplificarse la vida cuando programen y, obviamente, a ser mucho más cool.</p><p><strong><em>¿Cansado de importar librerías como asíatico en TopCoder? ¡Aquí está la solución!</em></strong></p><p>Muchas veces es nefasto encontrar varios (sino es que miles) errores al compilar a causa de librerías que hemos olvidado incluir. Existe una librería que, al incluirla, agrega todas las librerías estándar de C++ a nuestro código, ¡incluso las de la STL!</p><p><em>¿Que clase de brujería es esta?</em> Seguramente se estarán preguntando. Muy sencillo, solo necesitan escribir la siguiente línea de codigo: <code>#include &lt;bits/stdc++.h></code></p><p>_(Actualización) _Gracias a el comentario de lhchavez por remarcar el hecho de que esta línea funciona únicamente con el compilador <em>gcc</em>. Pese a esto, gran parte de los evaluadores actualmente usan <em>gcc,</em> por lo que podemos confiar en su uso, al menos en omegaUp. En caso de que la librería anterior no siga siendo soportada por omegaUp, les informaremos oportunamente.</p><p><em><strong>¡Mi mami dice que cin/cout es malo y no debo juntarme con ellos!</strong></em></p><p>Si no me equivoco, durante mucho tiempo se ha tratado a scanf y printf como el pan de cada día para la entrada y salida en los concursos de programación, al menos en México. Mientras tanto, se satanizó a cin y cout por ser lentos (o especiales, como dice mi mami) para realizar entrada y salida eficiente.</p><p>Sin embargo esto siempre fue un mito, los métodos cin/cout son incluso más eficientes que scanf/printf, solo había que descubrir el por que no lo notamos.</p><p>Resulta que cin/cout son muy buenos amigos de scanf/printf. Como son tan buenos amigos, al realizar la lectura y salida no querían alejarse demasiado, por lo que cin/cout tenía que sincronizarse para estar siempre a la par de scanf/printf.</p><p>Para no hacer el cuento largo, hay una forma de desactivar la opción de sincronización entre cin/cout y scanf/printf, solo es necesario incluir al inicio del main:</p><div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code"><div><div class=highlight><pre tabindex=0 style=color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4><code class=language-c++ data-lang=c++><span style=display:flex><span>std<span style=color:#f92672>::</span>cin.tie(<span style=color:#66d9ef>nullptr</span>);
-</span></span><span style=display:flex><span>std<span style=color:#f92672>::</span>ios_base<span style=color:#f92672>::</span>sync_with_stdio(false);</span></span></code></pre></div></div><div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0"><button class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50" title="Copiar código"><div class="copy-icon group-[.copied]/copybtn:hx-hidden hx-pointer-events-none hx-h-4 hx-w-4"></div><div class="success-icon hx-hidden group-[.copied]/copybtn:hx-block hx-pointer-events-none hx-h-4 hx-w-4"></div></button></div></div><p>Con esto podemos usar cin y cout sin temor a obtener TLE por lectura lenta, ¡Yaaay!</p><p><em><strong>¿Y eso es todo? ¿Ya puedo disfrutar de cin y cout?</strong></em></p><p>Casi. Antes de cantar victoria hay un último detalle para evitar los TLE. Gracias a un último experimento, encontramos que cuando se presentaban outputs muy grandes, cin/cout optimizado seguía lanzando TLE cuando scanf/printf no.</p><p>¡Tranquilos! También es posible evitar este error. El problema se presentaba porque comúnmente usaríamos lo siguiente: <code>cout &lt;&lt; numero &lt;&lt; endl</code>. Sucede que <em>endl</em>, además de imprimir un salto de línea, hace <em>flush</em> en el flujo de salida, lo cual es considerablemente costoso al imprimir muchas líneas y entorpece el rendimiento.</p><p>Para que la salida sea eficiente, recomendamos que uses el salto de línea literal <code>"\n"</code>.</p><p>Con los dos trucos anteriores, la eficiencia de cin/cout mejora generalmente un <em><strong>5-10%</strong></em> los resultados obtenidos por scanf/printf. Bastante cool, ¿no?</p><p>Aunque el objetivo original no es ganar unas cuantas centésimas de segundo en eficiencia, sino dar la oportunidad a aquellos olímpicos que no manejan scanf/printf para seguir usando cin/cout sin enfrentarse a más complicaciones.</p><p>Finalmente les dejó un ejemplo de cómo usar todo lo anterior en un código de C++. Espero que algo de esto les pueda ayudar en el futuro. Les deseo lo mejor :)</p><div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code"><div><div class=highlight><pre tabindex=0 style=color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4><code class=language-c++ data-lang=c++><span style=display:flex><span><span style=color:#75715e>#include</span> <span style=color:#75715e>&lt;bits/stdc++.h&gt;</span><span style=color:#75715e>
-</span></span></span><span style=display:flex><span><span style=color:#75715e>#define optimizar_io do { std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); } while(false)`
-</span></span></span><span style=display:flex><span><span style=color:#75715e></span>
-</span></span><span style=display:flex><span><span style=color:#66d9ef>int</span> <span style=color:#a6e22e>main</span>(){
-</span></span><span style=display:flex><span>  optimizar_io;
-</span></span><span style=display:flex><span>  <span style=color:#66d9ef>int</span> a, b;
-</span></span><span style=display:flex><span>  std<span style=color:#f92672>::</span>cin <span style=color:#f92672>&gt;&gt;</span> a <span style=color:#f92672>&gt;&gt;</span> b;
-</span></span><span style=display:flex><span>  std<span style=color:#f92672>::</span>cout <span style=color:#f92672>&lt;&lt;</span> a <span style=color:#f92672>+</span> b <span style=color:#f92672>&lt;&lt;</span> <span style=color:#e6db74>&#34;</span><span style=color:#ae81ff>\n</span><span style=color:#e6db74>&#34;</span>;
-</span></span><span style=display:flex><span>  <span style=color:#66d9ef>return</span> <span style=color:#ae81ff>0</span>;
-</span></span><span style=display:flex><span>}</span></span></code></pre></div></div><div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0"><button class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50" title="Copiar código"><div class="copy-icon group-[.copied]/copybtn:hx-hidden hx-pointer-events-none hx-h-4 hx-w-4"></div><div class="success-icon hx-hidden group-[.copied]/copybtn:hx-block hx-pointer-events-none hx-h-4 hx-w-4"></div></button></div></div></div><div class=hx-mt-16></div></main></article></div><footer class="hextra-footer hx-bg-gray-100 hx-pb-[env(safe-area-inset-bottom)] dark:hx-bg-neutral-900 print:hx-bg-transparent"><div class="hx-mx-auto hx-flex hx-gap-2 hx-py-2 hx-px-4 hx-max-w-screen-xl"><button title="Cambiar tema" data-theme=light class="theme-toggle hx-group hx-h-7 hx-rounded-md hx-px-2 hx-text-left hx-text-xs hx-font-medium hx-text-gray-600 hx-transition-colors dark:hx-text-gray-400 hover:hx-bg-gray-100 hover:hx-text-gray-900 dark:hover:hx-bg-primary-100/5 dark:hover:hx-text-gray-50" type=button aria-label="Cambiar tema"><div class="hx-flex hx-items-center hx-gap-2 hx-capitalize"><svg height="12" class="group-data-[theme=light]:hx-hidden" fill="none" viewBox="0 0 24 24" stroke-width="2" stroke="currentcolor" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" d="M12 3v1m0 16v1m9-9h-1M4 12H3m15.364 6.364-.707-.707M6.343 6.343l-.707-.707m12.728.0-.707.707M6.343 17.657l-.707.707M16 12a4 4 0 11-8 0 4 4 0 018 0z"/></svg><span class="group-data-[theme=light]:hx-hidden">Modo claro</span><svg height="12" class="group-data-[theme=dark]:hx-hidden" fill="none" viewBox="0 0 24 24" stroke-width="2" stroke="currentcolor" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" d="M20.354 15.354A9 9 0 018.646 3.646 9.003 9.003.0 0012 21a9.003 9.003.0 008.354-5.646z"/></svg><span class="group-data-[theme=dark]:hx-hidden">Modo oscuro</span></div></button></div><hr class=dark:hx-border-neutral-800><div class="hx-max-w-screen-xl hx-mx-auto hx-flex hx-justify-center hx-py-12 hx-pl-[max(env(safe-area-inset-left),1.5rem)] hx-pr-[max(env(safe-area-inset-right),1.5rem)] hx-text-gray-600 dark:hx-text-gray-400 md:hx-justify-start"><div class="hx-flex hx-w-full hx-flex-col hx-items-center sm:hx-items-start"><div class="hx-mt-6 hx-text-xs">Derechos reservados omegaUp © 2024.</div></div></div></footer><script defer src=/js/main.min.d0f0346255ba9418db8fcf7f9440ca4e532e06276d8df17497e19e1045ee360b.js integrity="sha256-0PA0YlW6lBjbj89/lEDKTlMuBidtjfF0l+GeEEXuNgs="></script><script defer src=/lib/flexsearch/flexsearch.bundle.min.e45e7eb129aae9f684e7f863bb7c1d612ea124b7068e12af80c58c62764a5379.js integrity="sha256-5F5+sSmq6faE5/hju3wdYS6hJLcGjhKvgMWMYnZKU3k="></script><script defer src=/es.search.min.22b690999814062b6c1f520ab1382c4b2dee00893bf5dea1e0d0415986c85591.js integrity="sha256-IraQmZgUBitsH1IKsTgsSy3uAIk79d6h4NBBWYbIVZE="></script></body></html>
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+<span>Ir al inicio</span><svg fill="none" viewBox="0 0 24 24" stroke-width="1.5" stroke="currentcolor" class="hx-inline ltr:hx-ml-1 rtl:hx-mr-1 hx-h-3.5 hx-w-3.5 hx-border hx-rounded-full hx-border-gray-500 hover:hx-border-gray-900 dark:hx-border-gray-400 dark:hover:hx-border-gray-100 contrast-more:hx-border-gray-800 contrast-more:dark:hx-border-gray-50"><path stroke-linecap="round" stroke-linejoin="round" d="M4.5 15.75l7.5-7.5 7.5 7.5"/></svg></button></div></div></nav><article class="hx-w-full hx-break-words hx-flex hx-min-h-[calc(100vh-var(--navbar-height))] hx-min-w-0 hx-justify-center hx-pb-8 hx-pr-[calc(env(safe-area-inset-right)-1.5rem)]"><main class="hx-w-full hx-min-w-0 hx-max-w-6xl hx-px-6 hx-pt-4 md:hx-px-12"><br class="hx-mt-1.5 hx-text-sm"><h1 class="hx-text-center hx-mt-2 hx-text-4xl hx-font-bold hx-tracking-tight hx-text-slate-900 dark:hx-text-slate-100">Trucos para ser más cool</h1><div class=hx-mb-16></div><div class=content><p>Después de un rato de investigación y experimentación, por fin me tomo el tiempo para escribir este post y presentarles algunos trucos que, considero, podrían ayudarles a simplificarse la vida cuando programen y, obviamente, a ser mucho más cool.</p><p><strong><em>¿Cansado de importar librerías como asíatico en TopCoder? ¡Aquí está la solución!</em></strong></p><p>Muchas veces es nefasto encontrar varios (sino es que miles) errores al compilar a causa de librerías que hemos olvidado incluir. Existe una librería que, al incluirla, agrega todas las librerías estándar de C++ a nuestro código, ¡incluso las de la STL!</p><p><em>¿Que clase de brujería es esta?</em> Seguramente se estarán preguntando. Muy sencillo, solo necesitan escribir la siguiente línea de codigo: <code>#include &lt;bits/stdc++.h></code></p><p>_(Actualización) _Gracias a el comentario de lhchavez por remarcar el hecho de que esta línea funciona únicamente con el compilador <em>gcc</em>. Pese a esto, gran parte de los evaluadores actualmente usan <em>gcc,</em> por lo que podemos confiar en su uso, al menos en omegaUp. En caso de que la librería anterior no siga siendo soportada por omegaUp, les informaremos oportunamente.</p><p><em><strong>¡Mi mami dice que cin/cout es malo y no debo juntarme con ellos!</strong></em></p><p>Si no me equivoco, durante mucho tiempo se ha tratado a scanf y printf como el pan de cada día para la entrada y salida en los concursos de programación, al menos en México. Mientras tanto, se satanizó a cin y cout por ser lentos (o especiales, como dice mi mami) para realizar entrada y salida eficiente.</p><p>Sin embargo esto siempre fue un mito, los métodos cin/cout son incluso más eficientes que scanf/printf, solo había que descubrir el por que no lo notamos.</p><p>Resulta que cin/cout son muy buenos amigos de scanf/printf. Como son tan buenos amigos, al realizar la lectura y salida no querían alejarse demasiado, por lo que cin/cout tenía que sincronizarse para estar siempre a la par de scanf/printf.</p><p>Para no hacer el cuento largo, hay una forma de desactivar la opción de sincronización entre cin/cout y scanf/printf, solo es necesario incluir al inicio del main:</p><div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code"><div><div class=highlight><pre tabindex=0 class=chroma><code class=language-c++ data-lang=c++><span class=line><span class=cl><span class=n>std</span><span class=o>::</span><span class=n>cin</span><span class=p>.</span><span class=n>tie</span><span class=p>(</span><span class=k>nullptr</span><span class=p>);</span>
+</span></span><span class=line><span class=cl><span class=n>std</span><span class=o>::</span><span class=n>ios_base</span><span class=o>::</span><span class=n>sync_with_stdio</span><span class=p>(</span><span class=nb>false</span><span class=p>);</span></span></span></code></pre></div></div><div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0"><button class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50" title="Copiar código"><div class="copy-icon group-[.copied]/copybtn:hx-hidden hx-pointer-events-none hx-h-4 hx-w-4"></div><div class="success-icon hx-hidden group-[.copied]/copybtn:hx-block hx-pointer-events-none hx-h-4 hx-w-4"></div></button></div></div><p>Con esto podemos usar cin y cout sin temor a obtener TLE por lectura lenta, ¡Yaaay!</p><p><em><strong>¿Y eso es todo? ¿Ya puedo disfrutar de cin y cout?</strong></em></p><p>Casi. Antes de cantar victoria hay un último detalle para evitar los TLE. Gracias a un último experimento, encontramos que cuando se presentaban outputs muy grandes, cin/cout optimizado seguía lanzando TLE cuando scanf/printf no.</p><p>¡Tranquilos! También es posible evitar este error. El problema se presentaba porque comúnmente usaríamos lo siguiente: <code>cout &lt;&lt; numero &lt;&lt; endl</code>. Sucede que <em>endl</em>, además de imprimir un salto de línea, hace <em>flush</em> en el flujo de salida, lo cual es considerablemente costoso al imprimir muchas líneas y entorpece el rendimiento.</p><p>Para que la salida sea eficiente, recomendamos que uses el salto de línea literal <code>"\n"</code>.</p><p>Con los dos trucos anteriores, la eficiencia de cin/cout mejora generalmente un <em><strong>5-10%</strong></em> los resultados obtenidos por scanf/printf. Bastante cool, ¿no?</p><p>Aunque el objetivo original no es ganar unas cuantas centésimas de segundo en eficiencia, sino dar la oportunidad a aquellos olímpicos que no manejan scanf/printf para seguir usando cin/cout sin enfrentarse a más complicaciones.</p><p>Finalmente les dejó un ejemplo de cómo usar todo lo anterior en un código de C++. Espero que algo de esto les pueda ayudar en el futuro. Les deseo lo mejor :)</p><div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code"><div><div class=highlight><pre tabindex=0 class=chroma><code class=language-c++ data-lang=c++><span class=line><span class=cl><span class=cp>#include</span> <span class=cpf>&lt;bits/stdc++.h&gt;</span><span class=cp>
+</span></span></span><span class=line><span class=cl><span class=cp>#define optimizar_io do { std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); } while(false)`
+</span></span></span><span class=line><span class=cl><span class=cp></span>
+</span></span><span class=line><span class=cl><span class=kt>int</span> <span class=nf>main</span><span class=p>(){</span>
+</span></span><span class=line><span class=cl>  <span class=n>optimizar_io</span><span class=p>;</span>
+</span></span><span class=line><span class=cl>  <span class=kt>int</span> <span class=n>a</span><span class=p>,</span> <span class=n>b</span><span class=p>;</span>
+</span></span><span class=line><span class=cl>  <span class=n>std</span><span class=o>::</span><span class=n>cin</span> <span class=o>&gt;&gt;</span> <span class=n>a</span> <span class=o>&gt;&gt;</span> <span class=n>b</span><span class=p>;</span>
+</span></span><span class=line><span class=cl>  <span class=n>std</span><span class=o>::</span><span class=n>cout</span> <span class=o>&lt;&lt;</span> <span class=n>a</span> <span class=o>+</span> <span class=n>b</span> <span class=o>&lt;&lt;</span> <span class=s>&#34;</span><span class=se>\n</span><span class=s>&#34;</span><span class=p>;</span>
+</span></span><span class=line><span class=cl>  <span class=k>return</span> <span class=mi>0</span><span class=p>;</span>
+</span></span><span class=line><span class=cl><span class=p>}</span></span></span></code></pre></div></div><div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0"><button class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50" title="Copiar código"><div class="copy-icon group-[.copied]/copybtn:hx-hidden hx-pointer-events-none hx-h-4 hx-w-4"></div><div class="success-icon hx-hidden group-[.copied]/copybtn:hx-block hx-pointer-events-none hx-h-4 hx-w-4"></div></button></div></div></div><div class=hx-mt-16></div></main></article></div><footer class="hextra-footer hx-bg-gray-100 hx-pb-[env(safe-area-inset-bottom)] dark:hx-bg-neutral-900 print:hx-bg-transparent"><div class="hx-mx-auto hx-flex hx-gap-2 hx-py-2 hx-px-4 hx-max-w-screen-xl"><button title="Cambiar tema" data-theme=light class="theme-toggle hx-group hx-h-7 hx-rounded-md hx-px-2 hx-text-left hx-text-xs hx-font-medium hx-text-gray-600 hx-transition-colors dark:hx-text-gray-400 hover:hx-bg-gray-100 hover:hx-text-gray-900 dark:hover:hx-bg-primary-100/5 dark:hover:hx-text-gray-50" type=button aria-label="Cambiar tema"><div class="hx-flex hx-items-center hx-gap-2 hx-capitalize"><svg height="12" class="group-data-[theme=light]:hx-hidden" fill="none" viewBox="0 0 24 24" stroke-width="2" stroke="currentcolor" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" d="M12 3v1m0 16v1m9-9h-1M4 12H3m15.364 6.364-.707-.707M6.343 6.343l-.707-.707m12.728.0-.707.707M6.343 17.657l-.707.707M16 12a4 4 0 11-8 0 4 4 0 018 0z"/></svg><span class="group-data-[theme=light]:hx-hidden">Modo claro</span><svg height="12" class="group-data-[theme=dark]:hx-hidden" fill="none" viewBox="0 0 24 24" stroke-width="2" stroke="currentcolor" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" d="M20.354 15.354A9 9 0 018.646 3.646 9.003 9.003.0 0012 21a9.003 9.003.0 008.354-5.646z"/></svg><span class="group-data-[theme=dark]:hx-hidden">Modo oscuro</span></div></button></div><hr class=dark:hx-border-neutral-800><div class="hx-max-w-screen-xl hx-mx-auto hx-flex hx-justify-center hx-py-12 hx-pl-[max(env(safe-area-inset-left),1.5rem)] hx-pr-[max(env(safe-area-inset-right),1.5rem)] hx-text-gray-600 dark:hx-text-gray-400 md:hx-justify-start"><div class="hx-flex hx-w-full hx-flex-col hx-items-center sm:hx-items-start"><div class="hx-mt-6 hx-text-xs">Derechos reservados omegaUp © 2024.</div></div></div></footer><script defer src=/js/main.min.d0f0346255ba9418db8fcf7f9440ca4e532e06276d8df17497e19e1045ee360b.js integrity="sha256-0PA0YlW6lBjbj89/lEDKTlMuBidtjfF0l+GeEEXuNgs="></script><script defer src=/lib/flexsearch/flexsearch.bundle.min.e45e7eb129aae9f684e7f863bb7c1d612ea124b7068e12af80c58c62764a5379.js integrity="sha256-5F5+sSmq6faE5/hju3wdYS6hJLcGjhKvgMWMYnZKU3k="></script><script defer src=/es.search.min.22b690999814062b6c1f520ab1382c4b2dee00893bf5dea1e0d0415986c85591.js integrity="sha256-IraQmZgUBitsH1IKsTgsSy3uAIk79d6h4NBBWYbIVZE="></script></body></html>
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diff --git a/posts/ya-mostramos-los-mejores-envios-con-ac-en-los-problemas/index.html b/posts/ya-mostramos-los-mejores-envios-con-ac-en-los-problemas/index.html
index 270e739..d43e154 100644
--- a/posts/ya-mostramos-los-mejores-envios-con-ac-en-los-problemas/index.html
+++ b/posts/ya-mostramos-los-mejores-envios-con-ac-en-los-problemas/index.html
@@ -8,6 +8,10 @@
 Mejores Envíos"><meta itemprop=datePublished content="2014-06-23T15:16:41+00:00"><meta itemprop=dateModified content="2014-06-23T15:16:41+00:00"><meta itemprop=wordCount content="58"><meta itemprop=keywords content="News,Anuncios"><meta name=twitter:card content="summary"><meta name=twitter:title content="Ya mostramos los mejores envíos con AC en los problemas"><meta name=twitter:description content="A partir de hoy, si visitas un problema de la lista (fuera de concurso), verás que hasta abajo mostramos una tabla con los 10 usuarios junto con sus mejores envíos aceptados, ordenados por qué tan rápido terminaron. Intenta que cuando resuelvas un problema, tu nombre aparezca en esa tabla para tener todo el honor y gloria!
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diff --git a/posts/ya-pueden-filtrar-los-problemas-por-tags/index.html b/posts/ya-pueden-filtrar-los-problemas-por-tags/index.html
index 24a4252..25a4bda 100644
--- a/posts/ya-pueden-filtrar-los-problemas-por-tags/index.html
+++ b/posts/ya-pueden-filtrar-los-problemas-por-tags/index.html
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 <!doctype html><html lang=es><head><meta charset=utf-8><meta name=viewport content="width=device-width,initial-scale=1"><meta name=robots content="index, follow"><link rel="icon shortcut" href=/favicon.ico sizes=32x32><link rel=icon href=/favicon.svg type=image/svg+xml><link rel=icon href=/favicon-dark.svg type=image/svg+xml media="(prefers-color-scheme: dark)"><link rel=icon href=/favicon-16x16.png type=image/png sizes=16x16><link rel=icon href=/favicon-32x32.png type=image/png sizes=32x32><link rel=apple-touch-icon href=/apple-touch-icon.png sizes=180x180><link fetchpriority=low href=/site.webmanifest rel=manifest><title>Ya pueden filtrar los problemas por Tags – omegaUp blog</title>
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diff --git a/posts/ya-pueden-hacer-sus-envios-usando-ruby/index.html b/posts/ya-pueden-hacer-sus-envios-usando-ruby/index.html
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diff --git a/posts/yeah-science-bch-entre-mas-omegaup-mejores-resultados/index.html b/posts/yeah-science-bch-entre-mas-omegaup-mejores-resultados/index.html
index e964578..30689e9 100644
--- a/posts/yeah-science-bch-entre-mas-omegaup-mejores-resultados/index.html
+++ b/posts/yeah-science-bch-entre-mas-omegaup-mejores-resultados/index.html
@@ -5,6 +5,10 @@
 Por primera vez, durante el periodo 2013-2014 varios Estados, como Morelos, Chihuahua y Guanajuato empezaron a promover omegaUp entre sus olímpicos y usar nuestra plataforma para correr sus concursos locales estatales."><meta itemprop=datePublished content="2014-05-22T14:45:11+00:00"><meta itemprop=dateModified content="2014-05-22T14:45:11+00:00"><meta itemprop=wordCount content="255"><meta itemprop=keywords content="News,Concursos"><meta name=twitter:card content="summary"><meta name=twitter:title content="Yeah, science b#$ch!: Entre más omegaUp, mejores resultados"><meta name=twitter:description content="Del 1 al 6 de Mayo pasados, se llevó a cabo la Olimpiada Mexicana de Informática 2014 en Pachuca, Hidalgo. Más de 100 participantes de toda la república concursaron y omegaUp fue la plataforma de evaluación oficial (el examen del Día 1 lo puedes encontrar aquí y el de el Día 2 aquí).
 Por primera vez, durante el periodo 2013-2014 varios Estados, como Morelos, Chihuahua y Guanajuato empezaron a promover omegaUp entre sus olímpicos y usar nuestra plataforma para correr sus concursos locales estatales."><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/search/index.html b/search/index.html
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diff --git a/tags/2014/index.html b/tags/2014/index.html
index fccde36..9484fab 100644
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diff --git a/tags/alain-acevedo/index.html b/tags/alain-acevedo/index.html
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diff --git a/tags/alexis/index.html b/tags/alexis/index.html
index 913b743..02a4e6c 100644
--- a/tags/alexis/index.html
+++ b/tags/alexis/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/alfiles/index.html b/tags/alfiles/index.html
index 5084a18..f58dba1 100644
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diff --git a/tags/anuncios/index.html b/tags/anuncios/index.html
index 5475de5..ccfb143 100644
--- a/tags/anuncios/index.html
+++ b/tags/anuncios/index.html
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diff --git a/tags/badges/index.html b/tags/badges/index.html
index 0f3abe8..541a757 100644
--- a/tags/badges/index.html
+++ b/tags/badges/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/beto/index.html b/tags/beto/index.html
index 7a3f54f..86d51df 100644
--- a/tags/beto/index.html
+++ b/tags/beto/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/bfs/index.html b/tags/bfs/index.html
index df2e39c..5734a87 100644
--- a/tags/bfs/index.html
+++ b/tags/bfs/index.html
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diff --git a/tags/binaria/index.html b/tags/binaria/index.html
index d19d860..dd0e8da 100644
--- a/tags/binaria/index.html
+++ b/tags/binaria/index.html
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diff --git a/tags/bitmask/index.html b/tags/bitmask/index.html
index 13443a7..3b338c2 100644
--- a/tags/bitmask/index.html
+++ b/tags/bitmask/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/bits/index.html b/tags/bits/index.html
index 4299708..e2775ab 100644
--- a/tags/bits/index.html
+++ b/tags/bits/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/bloqueo/index.html b/tags/bloqueo/index.html
index 75928b3..f387373 100644
--- a/tags/bloqueo/index.html
+++ b/tags/bloqueo/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/busquedas/index.html b/tags/busquedas/index.html
index 5c28638..11a1753 100644
--- a/tags/busquedas/index.html
+++ b/tags/busquedas/index.html
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diff --git "a/tags/b\303\272squeda-binaria/index.html" "b/tags/b\303\272squeda-binaria/index.html"
index 531fc3e..ca66a11 100644
--- "a/tags/b\303\272squeda-binaria/index.html"
+++ "b/tags/b\303\272squeda-binaria/index.html"
@@ -1,6 +1,10 @@
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diff --git "a/tags/b\303\272squeda/index.html" "b/tags/b\303\272squeda/index.html"
index 73ff179..2d3da7e 100644
--- "a/tags/b\303\272squeda/index.html"
+++ "b/tags/b\303\272squeda/index.html"
@@ -1,6 +1,10 @@
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diff --git a/tags/c++/index.html b/tags/c++/index.html
index d476fdb..99bb8a0 100644
--- a/tags/c++/index.html
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diff --git a/tags/c++/index.xml b/tags/c++/index.xml
index 0f458d6..34ec4b7 100644
--- a/tags/c++/index.xml
+++ b/tags/c++/index.xml
@@ -10,8 +10,8 @@
 &lt;p>Resulta que cin/cout son muy buenos amigos de scanf/printf. Como son tan buenos amigos, al realizar la lectura y salida no querían alejarse demasiado, por lo que cin/cout tenía que sincronizarse para estar siempre a la par de scanf/printf.&lt;/p>
 &lt;p>Para no hacer el cuento largo, hay una forma de desactivar la opción de sincronización entre cin/cout y scanf/printf, solo es necesario incluir al inicio del main:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-c++" data-lang="c++">&lt;span style="display:flex;">&lt;span>std&lt;span style="color:#f92672">::&lt;/span>cin.tie(&lt;span style="color:#66d9ef">nullptr&lt;/span>);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>std&lt;span style="color:#f92672">::&lt;/span>ios_base&lt;span style="color:#f92672">::&lt;/span>sync_with_stdio(false);&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-c++" data-lang="c++">&lt;span class="line">&lt;span class="cl">&lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cin&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tie&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="k">nullptr&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">ios_base&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">sync_with_stdio&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="nb">false&lt;/span>&lt;span class="p">);&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
@@ -30,16 +30,16 @@ title="Copiar código"
 &lt;p>Aunque el objetivo original no es ganar unas cuantas centésimas de segundo en eficiencia, sino dar la oportunidad a aquellos olímpicos que no manejan scanf/printf para seguir usando cin/cout sin enfrentarse a más complicaciones.&lt;/p>
 &lt;p>Finalmente les dejó un ejemplo de cómo usar todo lo anterior en un código de C++. Espero que algo de esto les pueda ayudar en el futuro. Les deseo lo mejor :)&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-c++" data-lang="c++">&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#include&lt;/span> &lt;span style="color:#75715e">&amp;lt;bits/stdc++.h&amp;gt;&lt;/span>&lt;span style="color:#75715e">
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#define optimizar_io do { std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); } while(false)`
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">int&lt;/span> &lt;span style="color:#a6e22e">main&lt;/span>(){
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> optimizar_io;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">int&lt;/span> a, b;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> std&lt;span style="color:#f92672">::&lt;/span>cin &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> a &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> b;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> std&lt;span style="color:#f92672">::&lt;/span>cout &lt;span style="color:#f92672">&amp;lt;&amp;lt;&lt;/span> a &lt;span style="color:#f92672">+&lt;/span> b &lt;span style="color:#f92672">&amp;lt;&amp;lt;&lt;/span> &lt;span style="color:#e6db74">&amp;#34;&lt;/span>&lt;span style="color:#ae81ff">\n&lt;/span>&lt;span style="color:#e6db74">&amp;#34;&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>}&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-c++" data-lang="c++">&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#include&lt;/span> &lt;span class="cpf">&amp;lt;bits/stdc++.h&amp;gt;&lt;/span>&lt;span class="cp">
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#define optimizar_io do { std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); } while(false)`
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="kt">int&lt;/span> &lt;span class="nf">main&lt;/span>&lt;span class="p">(){&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">optimizar_io&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">int&lt;/span> &lt;span class="n">a&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">b&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cin&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="n">b&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cout&lt;/span> &lt;span class="o">&amp;lt;&amp;lt;&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">b&lt;/span> &lt;span class="o">&amp;lt;&amp;lt;&lt;/span> &lt;span class="s">&amp;#34;&lt;/span>&lt;span class="se">\n&lt;/span>&lt;span class="s">&amp;#34;&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="p">}&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
diff --git a/tags/carretera/index.html b/tags/carretera/index.html
index f2669f7..55c1351 100644
--- a/tags/carretera/index.html
+++ b/tags/carretera/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/cin/index.html b/tags/cin/index.html
index 6e26061..03318ce 100644
--- a/tags/cin/index.html
+++ b/tags/cin/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/cin/index.xml b/tags/cin/index.xml
index e4b08a5..c01191d 100644
--- a/tags/cin/index.xml
+++ b/tags/cin/index.xml
@@ -10,8 +10,8 @@
 &lt;p>Resulta que cin/cout son muy buenos amigos de scanf/printf. Como son tan buenos amigos, al realizar la lectura y salida no querían alejarse demasiado, por lo que cin/cout tenía que sincronizarse para estar siempre a la par de scanf/printf.&lt;/p>
 &lt;p>Para no hacer el cuento largo, hay una forma de desactivar la opción de sincronización entre cin/cout y scanf/printf, solo es necesario incluir al inicio del main:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-c++" data-lang="c++">&lt;span style="display:flex;">&lt;span>std&lt;span style="color:#f92672">::&lt;/span>cin.tie(&lt;span style="color:#66d9ef">nullptr&lt;/span>);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>std&lt;span style="color:#f92672">::&lt;/span>ios_base&lt;span style="color:#f92672">::&lt;/span>sync_with_stdio(false);&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-c++" data-lang="c++">&lt;span class="line">&lt;span class="cl">&lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cin&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tie&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="k">nullptr&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">ios_base&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">sync_with_stdio&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="nb">false&lt;/span>&lt;span class="p">);&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
@@ -30,16 +30,16 @@ title="Copiar código"
 &lt;p>Aunque el objetivo original no es ganar unas cuantas centésimas de segundo en eficiencia, sino dar la oportunidad a aquellos olímpicos que no manejan scanf/printf para seguir usando cin/cout sin enfrentarse a más complicaciones.&lt;/p>
 &lt;p>Finalmente les dejó un ejemplo de cómo usar todo lo anterior en un código de C++. Espero que algo de esto les pueda ayudar en el futuro. Les deseo lo mejor :)&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-c++" data-lang="c++">&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#include&lt;/span> &lt;span style="color:#75715e">&amp;lt;bits/stdc++.h&amp;gt;&lt;/span>&lt;span style="color:#75715e">
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#define optimizar_io do { std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); } while(false)`
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">int&lt;/span> &lt;span style="color:#a6e22e">main&lt;/span>(){
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> optimizar_io;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">int&lt;/span> a, b;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> std&lt;span style="color:#f92672">::&lt;/span>cin &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> a &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> b;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> std&lt;span style="color:#f92672">::&lt;/span>cout &lt;span style="color:#f92672">&amp;lt;&amp;lt;&lt;/span> a &lt;span style="color:#f92672">+&lt;/span> b &lt;span style="color:#f92672">&amp;lt;&amp;lt;&lt;/span> &lt;span style="color:#e6db74">&amp;#34;&lt;/span>&lt;span style="color:#ae81ff">\n&lt;/span>&lt;span style="color:#e6db74">&amp;#34;&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>}&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-c++" data-lang="c++">&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#include&lt;/span> &lt;span class="cpf">&amp;lt;bits/stdc++.h&amp;gt;&lt;/span>&lt;span class="cp">
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#define optimizar_io do { std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); } while(false)`
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="kt">int&lt;/span> &lt;span class="nf">main&lt;/span>&lt;span class="p">(){&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">optimizar_io&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">int&lt;/span> &lt;span class="n">a&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">b&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cin&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="n">b&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cout&lt;/span> &lt;span class="o">&amp;lt;&amp;lt;&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">b&lt;/span> &lt;span class="o">&amp;lt;&amp;lt;&lt;/span> &lt;span class="s">&amp;#34;&lt;/span>&lt;span class="se">\n&lt;/span>&lt;span class="s">&amp;#34;&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="p">}&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
diff --git a/tags/concursos/index.html b/tags/concursos/index.html
index 7624ba4..7d80cbf 100644
--- a/tags/concursos/index.html
+++ b/tags/concursos/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/concursos/index.xml b/tags/concursos/index.xml
index 55af7e3..c7c25bc 100644
--- a/tags/concursos/index.xml
+++ b/tags/concursos/index.xml
@@ -504,8 +504,8 @@ alt="1ra Competencia Peruana de Informática Online" width="371" height="488">&l
 &lt;p>Resulta que cin/cout son muy buenos amigos de scanf/printf. Como son tan buenos amigos, al realizar la lectura y salida no querían alejarse demasiado, por lo que cin/cout tenía que sincronizarse para estar siempre a la par de scanf/printf.&lt;/p>
 &lt;p>Para no hacer el cuento largo, hay una forma de desactivar la opción de sincronización entre cin/cout y scanf/printf, solo es necesario incluir al inicio del main:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-c++" data-lang="c++">&lt;span style="display:flex;">&lt;span>std&lt;span style="color:#f92672">::&lt;/span>cin.tie(&lt;span style="color:#66d9ef">nullptr&lt;/span>);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>std&lt;span style="color:#f92672">::&lt;/span>ios_base&lt;span style="color:#f92672">::&lt;/span>sync_with_stdio(false);&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-c++" data-lang="c++">&lt;span class="line">&lt;span class="cl">&lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cin&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tie&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="k">nullptr&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">ios_base&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">sync_with_stdio&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="nb">false&lt;/span>&lt;span class="p">);&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
@@ -524,16 +524,16 @@ title="Copiar código"
 &lt;p>Aunque el objetivo original no es ganar unas cuantas centésimas de segundo en eficiencia, sino dar la oportunidad a aquellos olímpicos que no manejan scanf/printf para seguir usando cin/cout sin enfrentarse a más complicaciones.&lt;/p>
 &lt;p>Finalmente les dejó un ejemplo de cómo usar todo lo anterior en un código de C++. Espero que algo de esto les pueda ayudar en el futuro. Les deseo lo mejor :)&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-c++" data-lang="c++">&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#include&lt;/span> &lt;span style="color:#75715e">&amp;lt;bits/stdc++.h&amp;gt;&lt;/span>&lt;span style="color:#75715e">
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#define optimizar_io do { std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); } while(false)`
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">int&lt;/span> &lt;span style="color:#a6e22e">main&lt;/span>(){
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> optimizar_io;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">int&lt;/span> a, b;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> std&lt;span style="color:#f92672">::&lt;/span>cin &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> a &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> b;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> std&lt;span style="color:#f92672">::&lt;/span>cout &lt;span style="color:#f92672">&amp;lt;&amp;lt;&lt;/span> a &lt;span style="color:#f92672">+&lt;/span> b &lt;span style="color:#f92672">&amp;lt;&amp;lt;&lt;/span> &lt;span style="color:#e6db74">&amp;#34;&lt;/span>&lt;span style="color:#ae81ff">\n&lt;/span>&lt;span style="color:#e6db74">&amp;#34;&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>}&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-c++" data-lang="c++">&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#include&lt;/span> &lt;span class="cpf">&amp;lt;bits/stdc++.h&amp;gt;&lt;/span>&lt;span class="cp">
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#define optimizar_io do { std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); } while(false)`
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="kt">int&lt;/span> &lt;span class="nf">main&lt;/span>&lt;span class="p">(){&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">optimizar_io&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">int&lt;/span> &lt;span class="n">a&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">b&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cin&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="n">b&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cout&lt;/span> &lt;span class="o">&amp;lt;&amp;lt;&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">b&lt;/span> &lt;span class="o">&amp;lt;&amp;lt;&lt;/span> &lt;span class="s">&amp;#34;&lt;/span>&lt;span class="se">\n&lt;/span>&lt;span class="s">&amp;#34;&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="p">}&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
diff --git "a/tags/contrase\303\261a/index.html" "b/tags/contrase\303\261a/index.html"
index 0646ef0..b874509 100644
--- "a/tags/contrase\303\261a/index.html"
+++ "b/tags/contrase\303\261a/index.html"
@@ -1,6 +1,10 @@
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diff --git a/tags/contribuir-a-omegaup/index.html b/tags/contribuir-a-omegaup/index.html
index e433ef9..dfc0c5d 100644
--- a/tags/contribuir-a-omegaup/index.html
+++ b/tags/contribuir-a-omegaup/index.html
@@ -1,6 +1,10 @@
 <!doctype html><html lang=es><head><meta charset=utf-8><meta name=viewport content="width=device-width,initial-scale=1"><meta name=robots content="index, follow"><link rel="icon shortcut" href=/favicon.ico sizes=32x32><link rel=icon href=/favicon.svg type=image/svg+xml><link rel=icon href=/favicon-dark.svg type=image/svg+xml media="(prefers-color-scheme: dark)"><link rel=icon href=/favicon-16x16.png type=image/png sizes=16x16><link rel=icon href=/favicon-32x32.png type=image/png sizes=32x32><link rel=apple-touch-icon href=/apple-touch-icon.png sizes=180x180><link fetchpriority=low href=/site.webmanifest rel=manifest><title>Contribuir a OmegaUp – omegaUp blog</title>
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diff --git a/tags/cool/index.html b/tags/cool/index.html
index 4e300e1..d918ddf 100644
--- a/tags/cool/index.html
+++ b/tags/cool/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/cool/index.xml b/tags/cool/index.xml
index 76a1d76..41662ea 100644
--- a/tags/cool/index.xml
+++ b/tags/cool/index.xml
@@ -10,8 +10,8 @@
 &lt;p>Resulta que cin/cout son muy buenos amigos de scanf/printf. Como son tan buenos amigos, al realizar la lectura y salida no querían alejarse demasiado, por lo que cin/cout tenía que sincronizarse para estar siempre a la par de scanf/printf.&lt;/p>
 &lt;p>Para no hacer el cuento largo, hay una forma de desactivar la opción de sincronización entre cin/cout y scanf/printf, solo es necesario incluir al inicio del main:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-c++" data-lang="c++">&lt;span style="display:flex;">&lt;span>std&lt;span style="color:#f92672">::&lt;/span>cin.tie(&lt;span style="color:#66d9ef">nullptr&lt;/span>);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>std&lt;span style="color:#f92672">::&lt;/span>ios_base&lt;span style="color:#f92672">::&lt;/span>sync_with_stdio(false);&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-c++" data-lang="c++">&lt;span class="line">&lt;span class="cl">&lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cin&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tie&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="k">nullptr&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">ios_base&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">sync_with_stdio&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="nb">false&lt;/span>&lt;span class="p">);&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
@@ -30,16 +30,16 @@ title="Copiar código"
 &lt;p>Aunque el objetivo original no es ganar unas cuantas centésimas de segundo en eficiencia, sino dar la oportunidad a aquellos olímpicos que no manejan scanf/printf para seguir usando cin/cout sin enfrentarse a más complicaciones.&lt;/p>
 &lt;p>Finalmente les dejó un ejemplo de cómo usar todo lo anterior en un código de C++. Espero que algo de esto les pueda ayudar en el futuro. Les deseo lo mejor :)&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-c++" data-lang="c++">&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#include&lt;/span> &lt;span style="color:#75715e">&amp;lt;bits/stdc++.h&amp;gt;&lt;/span>&lt;span style="color:#75715e">
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#define optimizar_io do { std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); } while(false)`
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">int&lt;/span> &lt;span style="color:#a6e22e">main&lt;/span>(){
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> optimizar_io;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">int&lt;/span> a, b;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> std&lt;span style="color:#f92672">::&lt;/span>cin &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> a &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> b;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> std&lt;span style="color:#f92672">::&lt;/span>cout &lt;span style="color:#f92672">&amp;lt;&amp;lt;&lt;/span> a &lt;span style="color:#f92672">+&lt;/span> b &lt;span style="color:#f92672">&amp;lt;&amp;lt;&lt;/span> &lt;span style="color:#e6db74">&amp;#34;&lt;/span>&lt;span style="color:#ae81ff">\n&lt;/span>&lt;span style="color:#e6db74">&amp;#34;&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>}&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-c++" data-lang="c++">&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#include&lt;/span> &lt;span class="cpf">&amp;lt;bits/stdc++.h&amp;gt;&lt;/span>&lt;span class="cp">
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#define optimizar_io do { std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); } while(false)`
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="kt">int&lt;/span> &lt;span class="nf">main&lt;/span>&lt;span class="p">(){&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">optimizar_io&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">int&lt;/span> &lt;span class="n">a&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">b&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cin&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="n">b&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cout&lt;/span> &lt;span class="o">&amp;lt;&amp;lt;&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">b&lt;/span> &lt;span class="o">&amp;lt;&amp;lt;&lt;/span> &lt;span class="s">&amp;#34;&lt;/span>&lt;span class="se">\n&lt;/span>&lt;span class="s">&amp;#34;&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="p">}&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
diff --git a/tags/cout/index.html b/tags/cout/index.html
index 9f14e97..c0a0dcb 100644
--- a/tags/cout/index.html
+++ b/tags/cout/index.html
@@ -1,6 +1,10 @@
 <!doctype html><html lang=es><head><meta charset=utf-8><meta name=viewport content="width=device-width,initial-scale=1"><meta name=robots content="index, follow"><link rel="icon shortcut" href=/favicon.ico sizes=32x32><link rel=icon href=/favicon.svg type=image/svg+xml><link rel=icon href=/favicon-dark.svg type=image/svg+xml media="(prefers-color-scheme: dark)"><link rel=icon href=/favicon-16x16.png type=image/png sizes=16x16><link rel=icon href=/favicon-32x32.png type=image/png sizes=32x32><link rel=apple-touch-icon href=/apple-touch-icon.png sizes=180x180><link fetchpriority=low href=/site.webmanifest rel=manifest><title>Cout – omegaUp blog</title>
 <meta name=description content><link rel=canonical href=https://blog.omegaup.com/tags/cout/ itemprop=url><meta property="og:title" content="Cout"><meta property="og:description" content><meta property="og:type" content="website"><meta property="og:url" content="https://blog.omegaup.com/tags/cout/"><meta itemprop=name content="Cout"><meta itemprop=datePublished content="2014-07-07T05:37:40+00:00"><meta itemprop=dateModified content="2014-07-07T05:37:40+00:00"><meta name=twitter:card content="summary"><meta name=twitter:title content="Cout"><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/tags/cout/index.xml b/tags/cout/index.xml
index a0fe015..3bc560a 100644
--- a/tags/cout/index.xml
+++ b/tags/cout/index.xml
@@ -10,8 +10,8 @@
 &lt;p>Resulta que cin/cout son muy buenos amigos de scanf/printf. Como son tan buenos amigos, al realizar la lectura y salida no querían alejarse demasiado, por lo que cin/cout tenía que sincronizarse para estar siempre a la par de scanf/printf.&lt;/p>
 &lt;p>Para no hacer el cuento largo, hay una forma de desactivar la opción de sincronización entre cin/cout y scanf/printf, solo es necesario incluir al inicio del main:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-c++" data-lang="c++">&lt;span style="display:flex;">&lt;span>std&lt;span style="color:#f92672">::&lt;/span>cin.tie(&lt;span style="color:#66d9ef">nullptr&lt;/span>);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>std&lt;span style="color:#f92672">::&lt;/span>ios_base&lt;span style="color:#f92672">::&lt;/span>sync_with_stdio(false);&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-c++" data-lang="c++">&lt;span class="line">&lt;span class="cl">&lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cin&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tie&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="k">nullptr&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">ios_base&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">sync_with_stdio&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="nb">false&lt;/span>&lt;span class="p">);&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
@@ -30,16 +30,16 @@ title="Copiar código"
 &lt;p>Aunque el objetivo original no es ganar unas cuantas centésimas de segundo en eficiencia, sino dar la oportunidad a aquellos olímpicos que no manejan scanf/printf para seguir usando cin/cout sin enfrentarse a más complicaciones.&lt;/p>
 &lt;p>Finalmente les dejó un ejemplo de cómo usar todo lo anterior en un código de C++. Espero que algo de esto les pueda ayudar en el futuro. Les deseo lo mejor :)&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-c++" data-lang="c++">&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#include&lt;/span> &lt;span style="color:#75715e">&amp;lt;bits/stdc++.h&amp;gt;&lt;/span>&lt;span style="color:#75715e">
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#define optimizar_io do { std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); } while(false)`
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">int&lt;/span> &lt;span style="color:#a6e22e">main&lt;/span>(){
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> optimizar_io;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">int&lt;/span> a, b;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> std&lt;span style="color:#f92672">::&lt;/span>cin &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> a &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> b;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> std&lt;span style="color:#f92672">::&lt;/span>cout &lt;span style="color:#f92672">&amp;lt;&amp;lt;&lt;/span> a &lt;span style="color:#f92672">+&lt;/span> b &lt;span style="color:#f92672">&amp;lt;&amp;lt;&lt;/span> &lt;span style="color:#e6db74">&amp;#34;&lt;/span>&lt;span style="color:#ae81ff">\n&lt;/span>&lt;span style="color:#e6db74">&amp;#34;&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>}&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-c++" data-lang="c++">&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#include&lt;/span> &lt;span class="cpf">&amp;lt;bits/stdc++.h&amp;gt;&lt;/span>&lt;span class="cp">
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#define optimizar_io do { std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); } while(false)`
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="kt">int&lt;/span> &lt;span class="nf">main&lt;/span>&lt;span class="p">(){&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">optimizar_io&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">int&lt;/span> &lt;span class="n">a&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">b&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cin&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="n">b&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cout&lt;/span> &lt;span class="o">&amp;lt;&amp;lt;&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">b&lt;/span> &lt;span class="o">&amp;lt;&amp;lt;&lt;/span> &lt;span class="s">&amp;#34;&lt;/span>&lt;span class="se">\n&lt;/span>&lt;span class="s">&amp;#34;&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="p">}&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
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diff --git a/tags/covarrubias/index.html b/tags/covarrubias/index.html
index 727df56..a72db6b 100644
--- a/tags/covarrubias/index.html
+++ b/tags/covarrubias/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/cursos/index.html b/tags/cursos/index.html
index 507cad8..dae39cf 100644
--- a/tags/cursos/index.html
+++ b/tags/cursos/index.html
@@ -1,6 +1,10 @@
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diff --git "a/tags/c\303\251sar/index.html" "b/tags/c\303\251sar/index.html"
index 438d524..610dc02 100644
--- "a/tags/c\303\251sar/index.html"
+++ "b/tags/c\303\251sar/index.html"
@@ -1,6 +1,10 @@
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diff --git a/tags/dfs/index.html b/tags/dfs/index.html
index e623f1c..88cd1b3 100644
--- a/tags/dfs/index.html
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diff --git "a/tags/din\303\241mica/index.html" "b/tags/din\303\241mica/index.html"
index ffc92ae..38a030d 100644
--- "a/tags/din\303\241mica/index.html"
+++ "b/tags/din\303\241mica/index.html"
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diff --git a/tags/documentation/index.html b/tags/documentation/index.html
index e1c68f9..1ce02b8 100644
--- a/tags/documentation/index.html
+++ b/tags/documentation/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/enrique-lira/index.html b/tags/enrique-lira/index.html
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diff --git a/tags/entrevistas/index.html b/tags/entrevistas/index.html
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diff --git a/tags/etapa-1/index.html b/tags/etapa-1/index.html
index 7ea6849..d64e625 100644
--- a/tags/etapa-1/index.html
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@@ -1,6 +1,10 @@
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diff --git a/tags/etapa-1/index.xml b/tags/etapa-1/index.xml
index 885757d..7c54928 100644
--- a/tags/etapa-1/index.xml
+++ b/tags/etapa-1/index.xml
@@ -119,11 +119,11 @@
 &lt;p>$latex \mathrm{dp}_r=\mathrm{interesante}(r)\ \mathrm{si}\ \Sigma_h\mathrm{dp}_h=0$ $latex \mathrm{dp}_r = \Sigma_h\mathrm{dp}_h+1\ \mathrm{si}\ \Sigma_c\mathrm{dp}_h&amp;gt;0$&lt;/p>
 &lt;p>$latex h$ es un hijo de $latex r$. La arista extra $latex (u,v)$ en el ciclo $latex c$ permite usar otros caminos a lo largo de $latex c$. Tales caminos deben conectar todos los nodos en $latex c$ que tengan nodos interesantes en su árbol después de quitar las aristas del ciclo $latex E-c$. Etiquetemos tales nodos con un uno y los demás nodos del $latex c$ con un cero. Para $latex E-(u,v)$ el ciclo sólo no cubre los últimos ceros. Para encontrar la solución sólo basta encontrar la secuencia de ceros más grande. En el siguiente diagrama, la arista que falta es $latex (u,v)$. La DP sólo no usa el último cero, pero es mejor no usar los dos ceros que están adyacentes.&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">0&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#f92672">/&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>\
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">1&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#960050;background-color:#1e0010">\\&lt;/span> &lt;span style="color:#f92672">/&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">1&lt;/span>&lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">0&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">0&lt;/span> &lt;span class="mi">1&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="o">/&lt;/span> &lt;span class="err">\&lt;/span>\
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">1&lt;/span> &lt;span class="mi">0&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="err">\\&lt;/span> &lt;span class="o">/&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">1&lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="mi">0&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
@@ -141,15 +141,15 @@ title="Copiar código"
 &lt;p>La solución a este problema consistía en programar el método descrito. Este método inherentemente está basado en la técnica de divide y vencerás.&lt;/p>
 &lt;p>A continuación, un pseudo-código que muestra la forma de llevar a cabo la transformación de un mapa de bits bidimensional a la forma reducida:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si todos los elementos en mapaDeBits son iguales
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Imprime el valor y termina
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si no
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Imprime D
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits.superiorIzquierdo)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits.superiorDerecho)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits.inferiorIzquierdo)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits.inferiorDerecho)
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">todos&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">elementos&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">mapaDeBits&lt;/span> &lt;span class="n">son&lt;/span> &lt;span class="n">iguales&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Imprime&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">valor&lt;/span> &lt;span class="n">y&lt;/span> &lt;span class="n">termina&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">no&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Imprime&lt;/span> &lt;span class="n">D&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">superiorIzquierdo&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">superiorDerecho&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">inferiorIzquierdo&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">inferiorDerecho&lt;/span>&lt;span class="p">)&lt;/span>
 &lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
@@ -162,14 +162,14 @@ title="Copiar código"
 &lt;/div>
 &lt;p>El método para hacer la transformación inversa es muy parecido, sólo que para imprimir la equivalencia hay que comenzar con un mapa de bits bidimensional que nos sirva de variable auxiliar para hacer la conversión. Esta variable auxiliar se puede declarar de manera global y, cuando el método recursivo termine, simplemente imprimir su contenido:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits, sección)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si mapaDeBits comienza con un valor
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Rellenar sección del mapa bidimensional con el valor
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si no
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.superiorIzquierda)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.superiorDerecha)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.inferiorIzquierda)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.inferiorDerecha)
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">mapaDeBits&lt;/span> &lt;span class="n">comienza&lt;/span> &lt;span class="n">con&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="n">valor&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Rellenar&lt;/span> &lt;span class="n">sección&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">mapa&lt;/span> &lt;span class="n">bidimensional&lt;/span> &lt;span class="n">con&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">valor&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">no&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">removerPrimerElemento&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">superiorIzquierda&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">removerPrimerElemento&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">superiorDerecha&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">removerPrimerElemento&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">inferiorIzquierda&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">removerPrimerElemento&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">inferiorDerecha&lt;/span>&lt;span class="p">)&lt;/span>
 &lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
@@ -245,102 +245,102 @@ title="Copiar código"
 &lt;p>La estrategia que yo personalmente seguí fue que cada que encontraba un nuevo estado, obtenía su &lt;a href="http://es.wikipedia.org/wiki/Funci%C3%B3n_hash" target="_blank" rel="noopener">hash&lt;/a> (que resultaba en un entero de 64 bits) y verificaba si no lo había visitado usando una tabla de hash&lt;a href="#note" >*&lt;/a>. Si no la había visitado, encontraba todos los estados vecinos (todos los tableros que resultaban de hacer un movimiento válido) y los guardaba en una fila de acuerdo a la cantidad de puntos (entre más puntos, más adelante en la fila). Luego, elegía aleatoriamente un estado de la fila dándole prioridad a los que estaban más adelante (pues son los que tienen mayor probabilidad de llegar a una buena solución), lo cual también me evitaba seguir un único camino donde me podría atorar. Repetí eso hasta que se me terminó la memoria de la computadora e imprimí la mejor solución.&lt;/p>
 &lt;p>A continuación, el pseudocódigo de la solución:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">class&lt;/span> &lt;span style="color:#a6e22e">Estado&lt;/span>&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">int&lt;/span> puntos &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">bool&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[N&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[N&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] tablero
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Estado padre &lt;span style="color:#f92672">=&lt;/span> null
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> def &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_init&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_(Estado p)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> puntos &lt;span style="color:#f92672">=&lt;/span> p.puntos
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> tablero &lt;span style="color:#f92672">=&lt;/span> p.tablero
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> padre &lt;span style="color:#f92672">=&lt;/span> p
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> def hash()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Puedes usar cualquier algoritmo que genere un entero de 64 bits
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># a partir de tablero y puntos. Este es el más sencillo.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> hash &lt;span style="color:#f92672">=&lt;/span> puntos
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">for&lt;/span> i in range(&lt;span style="color:#ae81ff">0&lt;/span>, N)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> hash &lt;span style="color:#f92672">=&lt;/span> ((hash &lt;span style="color:#f92672">&amp;lt;&amp;lt;&lt;/span> &lt;span style="color:#ae81ff">7&lt;/span>) &lt;span style="color:#f92672">|&lt;/span> (hash &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> &lt;span style="color:#ae81ff">53&lt;/span>)) &lt;span style="color:#f92672">^&lt;/span> tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> hash
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> def siguientes(queue&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#ae81ff">300&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] colas)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Para todas las celdas (i, j) del tablero...
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span> i in range(&lt;span style="color:#ae81ff">0&lt;/span>, N)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">for&lt;/span> j in range(&lt;span style="color:#ae81ff">0&lt;/span>, N)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Si la celda tiene una pieza...
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Para todos los vecinos contiguos (i+k, j+l)...
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span> k in range(&lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>, &lt;span style="color:#ae81ff">2&lt;/span>)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">for&lt;/span> l in range(&lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>, &lt;span style="color:#ae81ff">2&lt;/span>)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Asegúrate que se haya movido \_algo\_.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> k &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span> &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> l &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>&lt;span style="color:#f92672">:&lt;/span> &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Y que pueda brincar dentro del tablero.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> j &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> l &lt;span style="color:#f92672">&amp;lt;&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span> or j &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> l &lt;span style="color:#f92672">&amp;gt;=&lt;/span> N: &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Y que haya brincado una pieza.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> not tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i &lt;span style="color:#f92672">+&lt;/span> k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j &lt;span style="color:#f92672">+&lt;/span> l&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#f92672">:&lt;/span> &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Y que el lugar a donde brinca esté desocupado.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> l&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#f92672">:&lt;/span> &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> hijo &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#66d9ef">new&lt;/span> Estado(&lt;span style="color:#66d9ef">this&lt;/span>)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Aumenta la puntuación del hijo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> hijo.puntos&lt;span style="color:#f92672">++&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Borra la ficha original y la &amp;#34;comida&amp;#34;.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> hijo.tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> hijo.tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i &lt;span style="color:#f92672">+&lt;/span> k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j &lt;span style="color:#f92672">+&lt;/span> l&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>\
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> False
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Agrega la ficha en su posición final.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> hijo.tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> l&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> True
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Agrégala a la cola correspondiente.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[hijo.puntos&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].push(hijo)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>def elige&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_estado()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Número aleatorio entre 0 y 1.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> r &lt;span style="color:#f92672">=&lt;/span> (random() &lt;span style="color:#f92672">/&lt;/span> (&lt;span style="color:#66d9ef">float&lt;/span>)RAND&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_MAX)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># El índice de la última cola que estuvo llena.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> ultimolleno &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># La cola que se está considerando.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> x &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Elige la cola con mayores puntos que no esté vacía como
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># primera opción.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span> i in range(&lt;span style="color:#ae81ff">0&lt;/span>, N)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span> not colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].vacio()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> x &lt;span style="color:#f92672">=&lt;/span> i
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># La primer cola tiene probabilidad de 31% de ser elegida.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># La segunda cola tiene probabilidad de 21%, la tercera 14%,
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># la cuarta 10% y así sucesivamente.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">while&lt;/span> x &lt;span style="color:#f92672">&amp;gt;=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span> not colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[x&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].vacio()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ultimolleno &lt;span style="color:#f92672">=&lt;/span> x
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> x&lt;span style="color:#f92672">--&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> r &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*=&lt;/span> &lt;span style="color:#ae81ff">1.45&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span> r &lt;span style="color:#f92672">&amp;gt;=&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span> and ultimolleno &lt;span style="color:#f92672">!=&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span> &lt;span style="color:#66d9ef">break&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span> ultimolleno &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>&lt;span style="color:#f92672">:&lt;/span> &lt;span style="color:#66d9ef">return&lt;/span> Null
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[lastfull&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].pop()
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>queue&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#ae81ff">300&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] colas
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>hashtable estados&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_visitados
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#960050;background-color:#1e0010">\#&lt;/span> lee el estado original
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#ae81ff">0&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].push(estado&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_original)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Estado mejor &lt;span style="color:#f92672">=&lt;/span> estado&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_original
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">while&lt;/span> no&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_se&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_haya&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_terminado&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_la&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_memoria()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Estado s &lt;span style="color:#f92672">=&lt;/span> elige&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_estado()
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Si ya no hay más estados por visitar,
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># encontramos la respuesta óptima en algún punto.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> s &lt;span style="color:#f92672">==&lt;/span> Null: &lt;span style="color:#66d9ef">break&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Actualiza |mejor| si hay una respuesta mejor.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> mejor.puntos &lt;span style="color:#f92672">&amp;lt;&lt;/span> s.puntos: mejor &lt;span style="color:#f92672">=&lt;/span> s
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Repetir estados es malo.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> s.hash() in estados&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_visitados: &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> estados&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_visitados.add(s.hash())
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Agrega todos los vecinos.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> s.siguiente(colas)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#960050;background-color:#1e0010">\#&lt;/span> A partir de este punto, &lt;span style="color:#f92672">|&lt;/span>mejor&lt;span style="color:#f92672">|&lt;/span> contiene la mejor solución. Podemos
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e"># saber qué movimiento se hizo para llegar a él comparando las
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e"># diferencias entre el tablero de |mejor.padre| y |mejor|. Ya solo es
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e"># cuestión de imprimir el resultado y listo.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> Aquí mucha gente se va a quejar porque solo guardar el hash abre la puerta a que haya dos estados que puede tener hasta &lt;span style="color:#ae81ff">900&lt;/span> bits que tengan el mismo hash de &lt;span style="color:#ae81ff">64&lt;/span> bits (por el [principio del palomar](http:&lt;span style="color:#75715e">//es.wikipedia.org/wiki/Principio_del_palomar)) y esté considerando que ya se visitó un estado que en realidad es nuevo. Si haces las cuentas, la probabilidad de colisión es negligible: la cantidad de estados que podía visitar en mi computadora (27 millones) es significativamente más pequeña que el número de estados necesarios para que la probabilidad de colisión sea de 1% ($latex \\approx 10^{135}$, por la [paradoja del cumpleaños](http://es.wikipedia.org/wiki/Paradoja_del_cumplea%C3%B1os)).
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl">&lt;span class="k">class&lt;/span> &lt;span class="nc">Estado&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">int&lt;/span> &lt;span class="n">puntos&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">bool&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">N&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">N&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="n">tablero&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Estado&lt;/span> &lt;span class="n">padre&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">null&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">def&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="n">_&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_init&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">Estado&lt;/span> &lt;span class="n">p&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">puntos&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">p&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">puntos&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">tablero&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">p&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tablero&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">padre&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">p&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">def&lt;/span> &lt;span class="n">hash&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Puedes usar cualquier algoritmo que genere un entero de 64 bits
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># a partir de tablero y puntos. Este es el más sencillo.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">hash&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">puntos&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">for&lt;/span> &lt;span class="n">i&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">hash&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="p">((&lt;/span>&lt;span class="n">hash&lt;/span> &lt;span class="o">&amp;lt;&amp;lt;&lt;/span> &lt;span class="mi">7&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="o">|&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">hash&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="mi">53&lt;/span>&lt;span class="p">))&lt;/span> &lt;span class="o">^&lt;/span> &lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="n">hash&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">def&lt;/span> &lt;span class="n">siguientes&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">queue&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">300&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Para todas las celdas (i, j) del tablero...
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">for&lt;/span> &lt;span class="n">i&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">for&lt;/span> &lt;span class="n">j&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Si la celda tiene una pieza...
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Para todos los vecinos contiguos (i+k, j+l)...
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">for&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="mi">2&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">for&lt;/span> &lt;span class="n">l&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="mi">2&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Asegúrate que se haya movido \_algo\_.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">0&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="n">l&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="o">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Y que pueda brincar dentro del tablero.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">l&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="mi">0&lt;/span> &lt;span class="n">or&lt;/span> &lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">l&lt;/span> &lt;span class="o">&amp;gt;=&lt;/span> &lt;span class="nl">N&lt;/span>&lt;span class="p">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Y que haya brincado una pieza.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">not&lt;/span> &lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">l&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="o">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Y que el lugar a donde brinca esté desocupado.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">l&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="o">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">hijo&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="k">new&lt;/span> &lt;span class="n">Estado&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="k">this&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Aumenta la puntuación del hijo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">puntos&lt;/span>&lt;span class="o">++&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Borra la ficha original y la &amp;#34;comida&amp;#34;.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">l&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="err">\&lt;/span>\
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">False&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Agrega la ficha en su posición final.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">l&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">True&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Agrégala a la cola correspondiente.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">puntos&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">push&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">hijo&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">def&lt;/span> &lt;span class="n">elige&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_estado&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Número aleatorio entre 0 y 1.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">r&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">random&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="o">/&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="kt">float&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="n">RAND&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_MAX&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># El índice de la última cola que estuvo llena.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">ultimolleno&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># La cola que se está considerando.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">x&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Elige la cola con mayores puntos que no esté vacía como
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># primera opción.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">for&lt;/span> &lt;span class="n">i&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span> &lt;span class="n">not&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">vacio&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">x&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">i&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># La primer cola tiene probabilidad de 31% de ser elegida.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># La segunda cola tiene probabilidad de 21%, la tercera 14%,
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># la cuarta 10% y así sucesivamente.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">while&lt;/span> &lt;span class="n">x&lt;/span> &lt;span class="o">&amp;gt;=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span> &lt;span class="n">not&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">x&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">vacio&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ultimolleno&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">x&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">x&lt;/span>&lt;span class="o">--&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">r&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*=&lt;/span> &lt;span class="mf">1.45&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span> &lt;span class="n">r&lt;/span> &lt;span class="o">&amp;gt;=&lt;/span> &lt;span class="mi">1&lt;/span> &lt;span class="n">and&lt;/span> &lt;span class="n">ultimolleno&lt;/span> &lt;span class="o">!=&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span> &lt;span class="k">break&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span> &lt;span class="n">ultimolleno&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="o">:&lt;/span> &lt;span class="k">return&lt;/span> &lt;span class="n">Null&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">lastfull&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">pop&lt;/span>&lt;span class="p">()&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">queue&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">300&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="n">colas&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">hashtable&lt;/span> &lt;span class="n">estados&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_visitados&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="err">\#&lt;/span> &lt;span class="n">lee&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">estado&lt;/span> &lt;span class="n">original&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">push&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">estado&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_original&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Estado&lt;/span> &lt;span class="n">mejor&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">estado&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_original&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="k">while&lt;/span> &lt;span class="n">no&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_se&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_haya&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_terminado&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_la&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_memoria&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Estado&lt;/span> &lt;span class="n">s&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">elige&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_estado&lt;/span>&lt;span class="p">()&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Si ya no hay más estados por visitar,
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># encontramos la respuesta óptima en algún punto.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">s&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="nl">Null&lt;/span>&lt;span class="p">:&lt;/span> &lt;span class="k">break&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Actualiza |mejor| si hay una respuesta mejor.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">mejor&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">puntos&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">s&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="nl">puntos&lt;/span>&lt;span class="p">:&lt;/span> &lt;span class="n">mejor&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">s&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Repetir estados es malo.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">s&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">hash&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">estados&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="nl">_visitados&lt;/span>&lt;span class="p">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">estados&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_visitados&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">add&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">s&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">hash&lt;/span>&lt;span class="p">())&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Agrega todos los vecinos.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">s&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">siguiente&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">colas&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="err">\#&lt;/span> &lt;span class="n">A&lt;/span> &lt;span class="n">partir&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">este&lt;/span> &lt;span class="n">punto&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">|&lt;/span>&lt;span class="n">mejor&lt;/span>&lt;span class="o">|&lt;/span> &lt;span class="n">contiene&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">mejor&lt;/span> &lt;span class="n">solución&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">Podemos&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp"># saber qué movimiento se hizo para llegar a él comparando las
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp"># diferencias entre el tablero de |mejor.padre| y |mejor|. Ya solo es
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp"># cuestión de imprimir el resultado y listo.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">Aquí&lt;/span> &lt;span class="n">mucha&lt;/span> &lt;span class="n">gente&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">va&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="n">quejar&lt;/span> &lt;span class="n">porque&lt;/span> &lt;span class="n">solo&lt;/span> &lt;span class="n">guardar&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">hash&lt;/span> &lt;span class="n">abre&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">puerta&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">haya&lt;/span> &lt;span class="n">dos&lt;/span> &lt;span class="n">estados&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">puede&lt;/span> &lt;span class="n">tener&lt;/span> &lt;span class="n">hasta&lt;/span> &lt;span class="mi">900&lt;/span> &lt;span class="n">bits&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">tengan&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">mismo&lt;/span> &lt;span class="n">hash&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="mi">64&lt;/span> &lt;span class="n">bits&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">por&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="p">[&lt;/span>&lt;span class="n">principio&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">palomar&lt;/span>&lt;span class="p">](&lt;/span>&lt;span class="nl">http&lt;/span>&lt;span class="p">:&lt;/span>&lt;span class="c1">//es.wikipedia.org/wiki/Principio_del_palomar)) y esté considerando que ya se visitó un estado que en realidad es nuevo. Si haces las cuentas, la probabilidad de colisión es negligible: la cantidad de estados que podía visitar en mi computadora (27 millones) es significativamente más pequeña que el número de estados necesarios para que la probabilidad de colisión sea de 1% ($latex \\approx 10^{135}$, por la [paradoja del cumpleaños](http://es.wikipedia.org/wiki/Paradoja_del_cumplea%C3%B1os)).
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@@ -388,16 +388,16 @@ sea maxima siempre y cuando &lt;video autoplay muted loop>
 &lt;p>&lt;strong>Concurso:&lt;/strong> &lt;a href="https://omegaup.com/arena/problem/ubongo-3d" target="_blank" rel="noopener">Preselectivo para la IOI 2014, Etapa 1, Problemset 8&lt;/a> &lt;strong>Autor:&lt;/strong> Miguel Covarrubias &lt;strong>Fuente:&lt;/strong> Miguel Covarrubias&lt;/p>
 &lt;p>La solución pone piezas de manera recursiva mientras quepan en el tablero y no se empalmen.&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span>resuelve(pieza)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> si pieza &lt;span style="color:#f92672">&amp;gt;&lt;/span> P
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> regresa &lt;span style="color:#960050;background-color:#1e0010">“&lt;/span>Si&lt;span style="color:#960050;background-color:#1e0010">”&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> para cada rotación de la pieza
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> para cada casilla g del tablero
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> para cada cubo c de la pieza
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> si al poner c sobre g, la pieza queda dentro de los primeros &lt;span style="color:#ae81ff">2&lt;/span> niveles del tablero y no se empalma con otra pieza ya puesta entonces
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> marca las posiciones de los cubos de la pieza como ocupados
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> resuelve(pieza &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> desmarca los cubos de la pieza&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl">&lt;span class="n">resuelve&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">pieza&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">si&lt;/span> &lt;span class="n">pieza&lt;/span> &lt;span class="o">&amp;gt;&lt;/span> &lt;span class="n">P&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">regresa&lt;/span> &lt;span class="err">“&lt;/span>&lt;span class="n">Si&lt;/span>&lt;span class="err">”&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">para&lt;/span> &lt;span class="n">cada&lt;/span> &lt;span class="n">rotación&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">pieza&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">para&lt;/span> &lt;span class="n">cada&lt;/span> &lt;span class="n">casilla&lt;/span> &lt;span class="n">g&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">tablero&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">para&lt;/span> &lt;span class="n">cada&lt;/span> &lt;span class="n">cubo&lt;/span> &lt;span class="n">c&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">pieza&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">si&lt;/span> &lt;span class="n">al&lt;/span> &lt;span class="n">poner&lt;/span> &lt;span class="n">c&lt;/span> &lt;span class="n">sobre&lt;/span> &lt;span class="n">g&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">pieza&lt;/span> &lt;span class="n">queda&lt;/span> &lt;span class="n">dentro&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">primeros&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="n">niveles&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">tablero&lt;/span> &lt;span class="n">y&lt;/span> &lt;span class="n">no&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">empalma&lt;/span> &lt;span class="n">con&lt;/span> &lt;span class="n">otra&lt;/span> &lt;span class="n">pieza&lt;/span> &lt;span class="n">ya&lt;/span> &lt;span class="n">puesta&lt;/span> &lt;span class="n">entonces&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">marca&lt;/span> &lt;span class="n">las&lt;/span> &lt;span class="n">posiciones&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">cubos&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">pieza&lt;/span> &lt;span class="n">como&lt;/span> &lt;span class="n">ocupados&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">resuelve&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">pieza&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">1&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">desmarca&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">cubos&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">pieza&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
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 title="Copiar código"
@@ -533,7 +533,7 @@ ya que si está conectado con un descendiente rojo, la solución sería incorrec
 &lt;h2>Para los 100 puntos&lt;span class="hx-absolute -hx-mt-20" id="para-los-100-puntos">&lt;/span>
 &lt;a href="#para-los-100-puntos" class="subheading-anchor" aria-label="Permalink for this section">&lt;/a>&lt;/h2>&lt;p>Esta solución era para aquellos que supieran hacer una búsqueda utilizando una cola de prioridad. La idea es que al sacar un elemento de la cola siempre nos dé aquel al que se puede llegar con la menor cantidad de movimientos. Este procedimiento es idéntico a una búsqueda en amplitud solo que se utiliza una cola de prioridad. En la solución hago uso de un montículo como cola de prioridad.&lt;/p>
 &lt;script src="https://gist.github.com/OlimpiadaMexicanadeInformatica/6559202.js">&lt;/script></description></item><item><title>Solución a "K-Arbol"</title><link>https://blog.omegaup.com/posts/solucion-a-k-arbol/</link><pubDate>Mon, 07 Jan 2013 17:37:40 +0000</pubDate><guid>https://blog.omegaup.com/posts/solucion-a-k-arbol/</guid><description>
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 &lt;p>&lt;strong>Concurso:&lt;/strong> &lt;a href="https://omegaup.com/arena/IOI2013E1P5" target="_blank" rel="noopener">Preselectivo para la IOI 2013, Etapa 1, Examen 5&lt;/a> **Autor: **&lt;a href="mailto:lkt345@gmail.com" >Saul de Nova Caballero&lt;/a>&lt;/p>
 &lt;p>En pocas palabras el problema es, dado un árbol que se puede colorear, encuentra la menor solución satisfaciendo las restricciones dadas sobre los colores. Este problema es un caso particular de Graph Coloring(en español coloración de grafos), en donde el grafo es un árbol.&lt;/p>
 &lt;h1>Subcaso 1(10 puntos)&lt;/h1>&lt;p>Para el primer subcaso era posible hacer una búsqueda en profunidad sobre todos los nodos, encontrando la menor solución. Para guardar el árbol, era posible utilizar una matriz que guardara todos los colores posibles y entonces ver si era posible una solución con el menor color posible. La solución de este caso era trivial si se usaba una búsqueda exhaustiva.&lt;/p>
@@ -559,179 +559,179 @@ ya que si está conectado con un descendiente rojo, la solución sería incorrec
 &lt;p>&lt;img src="https://blog.omegaup.com/images/linearizar.jpg" alt="" loading="lazy" />&lt;/p>
 &lt;p>Imagen obtenida de &lt;a href="http://aima.cs.berkeley.edu/newchap05.pdf" target="_blank" rel="noopener">http://aima.cs.berkeley.edu/newchap05.pdf&lt;/a>&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">1&lt;/span> &lt;span style="color:#75715e">// karbol100.cpp
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#75715e">// By Saul de Nova Caballero
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">3&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">4&lt;/span> &lt;span style="color:#75715e">//Librerias de la standard template library de c++(stl)
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">5&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>include &lt;span style="color:#f92672">&amp;lt;&lt;/span>algorithm&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">6&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>include &lt;span style="color:#f92672">&amp;lt;&lt;/span>cassert&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">7&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>include &lt;span style="color:#f92672">&amp;lt;&lt;/span>cstdio&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">8&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>include &lt;span style="color:#f92672">&amp;lt;&lt;/span>cstdlib&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">9&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>include &lt;span style="color:#f92672">&amp;lt;&lt;/span>cstring&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">10&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>include &lt;span style="color:#f92672">&amp;lt;&lt;/span>iostream&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">11&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>include &lt;span style="color:#f92672">&amp;lt;&lt;/span>list&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">12&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>include &lt;span style="color:#f92672">&amp;lt;&lt;/span>utility&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">13&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">14&lt;/span> &lt;span style="color:#66d9ef">using&lt;/span> &lt;span style="color:#66d9ef">namespace&lt;/span> std;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">15&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">16&lt;/span> &lt;span style="color:#75715e">//Iterador sobre estructuras de datos. En este caso listas de la stl
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">17&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>define TR(container, it) &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>\
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">18&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span>(typeof(container.begin()) it &lt;span style="color:#f92672">=&lt;/span> container.begin() ; it &lt;span style="color:#f92672">!=&lt;/span> container.end() ; &lt;span style="color:#f92672">++&lt;/span>it)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">19&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">20&lt;/span> &lt;span style="color:#75715e">//Definicion de un par de la stl
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">21&lt;/span> &lt;span style="color:#66d9ef">typedef&lt;/span> pair&lt;span style="color:#f92672">&amp;lt;&lt;/span>&lt;span style="color:#66d9ef">int&lt;/span>, &lt;span style="color:#66d9ef">int&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">&amp;gt;&lt;/span> pii;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">22&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">23&lt;/span> &lt;span style="color:#75715e">//Constantes del programa
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">24&lt;/span> &lt;span style="color:#66d9ef">const&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> MAXN &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">10002&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">25&lt;/span> &lt;span style="color:#66d9ef">const&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> MAXM &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">502&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">26&lt;/span> &lt;span style="color:#66d9ef">const&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> MAXMEM &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>MAXN;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">27&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">28&lt;/span> &lt;span style="color:#75715e">//Clase para definir los hijos del arbol
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">29&lt;/span> &lt;span style="color:#75715e">//Es una lista con todos los hijos de cada nodo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">30&lt;/span> &lt;span style="color:#66d9ef">class&lt;/span> &lt;span style="color:#a6e22e">Graph&lt;/span> {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">31&lt;/span> &lt;span style="color:#66d9ef">public&lt;/span> &lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">32&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> addNode(&lt;span style="color:#66d9ef">int&lt;/span> node, &lt;span style="color:#66d9ef">int&lt;/span> value) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">33&lt;/span> nodes&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[node&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].push&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_back(value);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">34&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">35&lt;/span> list&lt;span style="color:#f92672">&amp;lt;&lt;/span>&lt;span style="color:#66d9ef">int&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">&amp;gt;&lt;/span> nodes&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[MAXN&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>];
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">36&lt;/span> };
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">37&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">38&lt;/span> &lt;span style="color:#75715e">//Clase para cola de las busquedas en amplitud
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">39&lt;/span> &lt;span style="color:#75715e">//Es de tipo generica
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">40&lt;/span> &lt;span style="color:#66d9ef">template&lt;/span>&lt;span style="color:#f92672">&amp;lt;&lt;/span>&lt;span style="color:#66d9ef">class&lt;/span> &lt;span style="color:#a6e22e">T&lt;/span>&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">41&lt;/span> &lt;span style="color:#66d9ef">class&lt;/span> &lt;span style="color:#a6e22e">Queue&lt;/span> {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">42&lt;/span> &lt;span style="color:#66d9ef">public&lt;/span> &lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">43&lt;/span> Queue() { init(); }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">44&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> &lt;span style="color:#a6e22e">init&lt;/span>() { p1 &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>; p2 &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>; }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">45&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> &lt;span style="color:#a6e22e">push&lt;/span>(T val) { memory&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#f92672">++&lt;/span>p1&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> val; }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">46&lt;/span> T &lt;span style="color:#a6e22e">front&lt;/span>() { &lt;span style="color:#66d9ef">return&lt;/span> memory&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[p2&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]; }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">47&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> &lt;span style="color:#a6e22e">pop&lt;/span>() { p2&lt;span style="color:#f92672">++&lt;/span>; }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">48&lt;/span> &lt;span style="color:#66d9ef">bool&lt;/span> &lt;span style="color:#a6e22e">empty&lt;/span>() { &lt;span style="color:#66d9ef">return&lt;/span> (p1 &lt;span style="color:#f92672">&amp;lt;&lt;/span> p2); }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">49&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">50&lt;/span> &lt;span style="color:#66d9ef">private&lt;/span> &lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">51&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> p1, p2;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">52&lt;/span> T memory&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[MAXMEM&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>];
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">53&lt;/span> };
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">54&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">55&lt;/span> &lt;span style="color:#75715e">//Definicion de todas las variables del programa
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">56&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> N, M, C, &lt;span style="color:#75715e">//Variables dadas
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">57&lt;/span> allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[MAXN&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>], &lt;span style="color:#75715e">//La cantidad de colores posibles por nodo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">58&lt;/span> parents&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[MAXN&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>], &lt;span style="color:#75715e">//El padre de cada nodo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">59&lt;/span> colorAssigned&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[MAXN&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]; &lt;span style="color:#75715e">//El color que le asigne al final al nodo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">60&lt;/span> &lt;span style="color:#66d9ef">bool&lt;/span> allowedColors&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[MAXN&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[MAXM&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]; &lt;span style="color:#75715e">//Una matriz con todos los colores posibles por cada nodo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">61&lt;/span> list&lt;span style="color:#f92672">&amp;lt;&lt;/span>&lt;span style="color:#66d9ef">int&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">&amp;gt;&lt;/span> nodesOrder; &lt;span style="color:#75715e">//Una lista ordenada de mayor a menor por la profundidad de cada nodo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">62&lt;/span> Graph tree; &lt;span style="color:#75715e">//Mi arbol
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">63&lt;/span> Queue&lt;span style="color:#f92672">&amp;lt;&lt;/span>pii&lt;span style="color:#f92672">&amp;gt;&lt;/span> searchDepth; &lt;span style="color:#75715e">//Una cola para la busqueda
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">64&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">65&lt;/span> &lt;span style="color:#75715e">//Regresa el color valido por cada nodo permitiendo que un nodo no sea de un color
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">66&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> validColor(&lt;span style="color:#66d9ef">int&lt;/span> node, &lt;span style="color:#66d9ef">int&lt;/span> constraint &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">67&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span>(&lt;span style="color:#66d9ef">int&lt;/span> i &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>; i &lt;span style="color:#f92672">&amp;lt;&lt;/span> M; &lt;span style="color:#f92672">++&lt;/span>i) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">68&lt;/span> &lt;span style="color:#a6e22e">if&lt;/span>(allowedColors&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[node&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> constraint &lt;span style="color:#f92672">!=&lt;/span> i) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">69&lt;/span> &lt;span style="color:#66d9ef">return&lt;/span> i;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">70&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">71&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">72&lt;/span> &lt;span style="color:#66d9ef">return&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">73&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">74&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">75&lt;/span> &lt;span style="color:#75715e">//Funcion para la lectura de todas las variables y la inicializacion de las estructuras
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">76&lt;/span> &lt;span style="color:#75715e">//Los asserts son para probar que el codigo es correcto
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">77&lt;/span> &lt;span style="color:#f92672">/&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>Guarda en allowedColors los posibles colores por nodo en una matriz&lt;span style="color:#960050;background-color:#1e0010">\*/&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">78&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> read() {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">79&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> node, prohibited;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">80&lt;/span> &lt;span style="color:#a6e22e">scanf&lt;/span>(&lt;span style="color:#e6db74">&amp;#34;%d%d&amp;#34;&lt;/span>, &lt;span style="color:#f92672">&amp;amp;&lt;/span>N, &lt;span style="color:#f92672">&amp;amp;&lt;/span>M);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">81&lt;/span> &lt;span style="color:#a6e22e">assert&lt;/span>(&lt;span style="color:#ae81ff">1&lt;/span> &lt;span style="color:#f92672">&amp;lt;=&lt;/span> N &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> N &lt;span style="color:#f92672">&amp;lt;=&lt;/span> MAXN&lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">2&lt;/span>);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">82&lt;/span> allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#ae81ff">0&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> M;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">83&lt;/span> &lt;span style="color:#a6e22e">memset&lt;/span>(allowedColors, true, &lt;span style="color:#66d9ef">sizeof&lt;/span>(allowedColors));
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">84&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span>(&lt;span style="color:#66d9ef">int&lt;/span> k &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>; k &lt;span style="color:#f92672">&amp;lt;&lt;/span> N; &lt;span style="color:#f92672">++&lt;/span>k) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">85&lt;/span> &lt;span style="color:#a6e22e">scanf&lt;/span>(&lt;span style="color:#e6db74">&amp;#34;%d&amp;#34;&lt;/span>, &lt;span style="color:#f92672">&amp;amp;&lt;/span>node);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">86&lt;/span> &lt;span style="color:#a6e22e">assert&lt;/span>(&lt;span style="color:#ae81ff">0&lt;/span> &lt;span style="color:#f92672">&amp;lt;=&lt;/span> node &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> node &lt;span style="color:#f92672">&amp;lt;&lt;/span> N);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">87&lt;/span> parents&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> node;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">88&lt;/span> tree.addNode(node, k);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">89&lt;/span> allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> M;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">90&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">91&lt;/span> &lt;span style="color:#a6e22e">scanf&lt;/span>(&lt;span style="color:#e6db74">&amp;#34;%d&amp;#34;&lt;/span>, &lt;span style="color:#f92672">&amp;amp;&lt;/span>C);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">92&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span>(&lt;span style="color:#66d9ef">int&lt;/span> k &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>; k &lt;span style="color:#f92672">&amp;lt;&lt;/span> C; &lt;span style="color:#f92672">++&lt;/span>k) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">93&lt;/span> &lt;span style="color:#a6e22e">scanf&lt;/span>(&lt;span style="color:#e6db74">&amp;#34;%d%d&amp;#34;&lt;/span>, &lt;span style="color:#f92672">&amp;amp;&lt;/span>node, &lt;span style="color:#f92672">&amp;amp;&lt;/span>prohibited);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">94&lt;/span> &lt;span style="color:#a6e22e">assert&lt;/span>(&lt;span style="color:#ae81ff">0&lt;/span> &lt;span style="color:#f92672">&amp;lt;=&lt;/span> node &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> node &lt;span style="color:#f92672">&amp;lt;&lt;/span> N &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span> &lt;span style="color:#f92672">&amp;lt;=&lt;/span> prohibited &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> prohibited &lt;span style="color:#f92672">&amp;lt;&lt;/span> M);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">95&lt;/span> &lt;span style="color:#a6e22e">if&lt;/span>(allowedColors&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[node&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[prohibited&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]) { &lt;span style="color:#75715e">//Checa que los nodos no se repitan ya que se pueden repetir
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">96&lt;/span> allowedColors&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[node&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[prohibited&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> false;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">97&lt;/span> allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[node&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">--&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">98&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">99&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">100&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">101&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">102&lt;/span> &lt;span style="color:#f92672">/&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>Una busqueda en amplitud para &lt;span style="color:#e6db74">&amp;#34;linearizar el árbol&amp;#34;&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\*/&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">103&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> orderNodes() {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">104&lt;/span> searchDepth.push(make&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_pair(&lt;span style="color:#ae81ff">0&lt;/span>, &lt;span style="color:#ae81ff">0&lt;/span>));
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">105&lt;/span> &lt;span style="color:#a6e22e">while&lt;/span>(&lt;span style="color:#f92672">!&lt;/span>searchDepth.empty()) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">106&lt;/span> pii value &lt;span style="color:#f92672">=&lt;/span> searchDepth.front(); searchDepth.pop();
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">107&lt;/span> nodesOrder.push&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_front(value.first);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">108&lt;/span> TR(tree.nodes&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[value.first&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>], it) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">109&lt;/span> searchDepth.push(make&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_pair(&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it, value.second &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>));
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">110&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">111&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">112&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">113&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">114&lt;/span> &lt;span style="color:#f92672">/&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>Checa por cada nodo de mayor a menor en la linearizacion, los colores posibles por nodo que solo tiene un color posible&lt;span style="color:#960050;background-color:#1e0010">\*/&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">115&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> enforceArc() {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">116&lt;/span> &lt;span style="color:#a6e22e">TR&lt;/span>(nodesOrder, it) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">117&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> currNode &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">118&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> parent &lt;span style="color:#f92672">=&lt;/span> parents&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>];
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">119&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span>(currNode &lt;span style="color:#f92672">!=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">120&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span>(allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[currNode&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span> &lt;span style="color:#f92672">||&lt;/span> allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[parent&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">121&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span>(allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[parent&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">122&lt;/span> swap(currNode, parent);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">123&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">124&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> color &lt;span style="color:#f92672">=&lt;/span> validColor(currNode);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">125&lt;/span> &lt;span style="color:#75715e">//printf(&amp;#34;%d %d %d\\n&amp;#34;, currNode, parent, color);
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>&lt;span style="color:#ae81ff">126&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span>(allowedColors&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[parent&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[color&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">127&lt;/span> allowedColors&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[parent&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[color&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> false;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">128&lt;/span> allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[parent&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">--&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">129&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">130&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">131&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">132&lt;/span> &lt;span style="color:#75715e">//Si no hay colores posibles, no se puede resolver el mapa
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>&lt;span style="color:#ae81ff">133&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span>(allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[currNode&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">&amp;lt;=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">134&lt;/span> printf(&lt;span style="color:#e6db74">&amp;#34;-1&lt;/span>&lt;span style="color:#ae81ff">\\&lt;/span>&lt;span style="color:#e6db74">n&amp;#34;&lt;/span>);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">135&lt;/span> exit(&lt;span style="color:#ae81ff">0&lt;/span>);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">136&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">137&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">138&lt;/span> &lt;span style="color:#75715e">//Checa de nuevo si alguno de los colores no puede ser
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>&lt;span style="color:#ae81ff">139&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span>(&lt;span style="color:#66d9ef">int&lt;/span> k &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>; k &lt;span style="color:#f92672">&amp;lt;&lt;/span> N; &lt;span style="color:#f92672">++&lt;/span>k) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">140&lt;/span> &lt;span style="color:#a6e22e">if&lt;/span>(allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">141&lt;/span> printf(&lt;span style="color:#e6db74">&amp;#34;-1&lt;/span>&lt;span style="color:#ae81ff">\\&lt;/span>&lt;span style="color:#e6db74">n&amp;#34;&lt;/span>);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">142&lt;/span> exit(&lt;span style="color:#ae81ff">0&lt;/span>);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">143&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">144&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">145&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">146&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">147&lt;/span> &lt;span style="color:#75715e">//Hace un ciclo checando el menor color posible por nodo e imprime los colores menores
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>&lt;span style="color:#ae81ff">148&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> findSolution() {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">149&lt;/span> colorAssigned&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#ae81ff">0&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">150&lt;/span> list&lt;span style="color:#f92672">&amp;lt;&lt;/span>&lt;span style="color:#66d9ef">int&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">&amp;gt;::&lt;/span>iterator it &lt;span style="color:#f92672">=&lt;/span> nodesOrder.end();
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">151&lt;/span> &lt;span style="color:#66d9ef">do&lt;/span> {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">152&lt;/span> it &lt;span style="color:#f92672">--&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">153&lt;/span> &lt;span style="color:#a6e22e">assert&lt;/span>(&lt;span style="color:#ae81ff">0&lt;/span> &lt;span style="color:#f92672">&amp;lt;=&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it &lt;span style="color:#f92672">&amp;lt;&lt;/span> N);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">154&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> color &lt;span style="color:#f92672">=&lt;/span> validColor(&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">155&lt;/span> &lt;span style="color:#a6e22e">if&lt;/span>(colorAssigned&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[parents&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">==&lt;/span> color) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">156&lt;/span> color &lt;span style="color:#f92672">=&lt;/span> validColor(&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it, color);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">157&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">158&lt;/span> &lt;span style="color:#a6e22e">assert&lt;/span>(&lt;span style="color:#ae81ff">0&lt;/span> &lt;span style="color:#f92672">&amp;lt;=&lt;/span> color &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> color &lt;span style="color:#f92672">&amp;lt;&lt;/span> M);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">159&lt;/span> colorAssigned&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> color;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">160&lt;/span> } &lt;span style="color:#66d9ef">while&lt;/span>(it &lt;span style="color:#f92672">!=&lt;/span> nodesOrder.begin()) ;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">161&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">162&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span>(&lt;span style="color:#66d9ef">int&lt;/span> k &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>; k &lt;span style="color:#f92672">&amp;lt;&lt;/span> N; &lt;span style="color:#f92672">++&lt;/span>k) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">163&lt;/span> &lt;span style="color:#a6e22e">printf&lt;/span>(&lt;span style="color:#e6db74">&amp;#34;%d&lt;/span>&lt;span style="color:#ae81ff">\\&lt;/span>&lt;span style="color:#e6db74">n&amp;#34;&lt;/span>, colorAssigned&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">164&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">165&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">166&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">167&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> &lt;span style="color:#a6e22e">main&lt;/span>() {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">168&lt;/span> read();
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">169&lt;/span> orderNodes();
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">170&lt;/span> enforceArc();
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">171&lt;/span> findSolution();
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">172&lt;/span> &lt;span style="color:#66d9ef">return&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">173&lt;/span> }&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">1&lt;/span> &lt;span class="c1">// karbol100.cpp
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="c1">// By Saul de Nova Caballero
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">3&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">4&lt;/span> &lt;span class="c1">//Librerias de la standard template library de c++(stl)
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">5&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">include&lt;/span> &lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">algorithm&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">6&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">include&lt;/span> &lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">cassert&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">7&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">include&lt;/span> &lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">cstdio&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">8&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">include&lt;/span> &lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">cstdlib&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">9&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">include&lt;/span> &lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">cstring&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">10&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">include&lt;/span> &lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">iostream&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">11&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">include&lt;/span> &lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">list&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">12&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">include&lt;/span> &lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">utility&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">13&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">14&lt;/span> &lt;span class="k">using&lt;/span> &lt;span class="k">namespace&lt;/span> &lt;span class="n">std&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">15&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">16&lt;/span> &lt;span class="c1">//Iterador sobre estructuras de datos. En este caso listas de la stl
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">17&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">define&lt;/span> &lt;span class="n">TR&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">container&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">it&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="err">\&lt;/span>\
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">18&lt;/span> &lt;span class="k">for&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">typeof&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">container&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">begin&lt;/span>&lt;span class="p">())&lt;/span> &lt;span class="n">it&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">container&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">begin&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">;&lt;/span> &lt;span class="n">it&lt;/span> &lt;span class="o">!=&lt;/span> &lt;span class="n">container&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">end&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">;&lt;/span> &lt;span class="o">++&lt;/span>&lt;span class="n">it&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">19&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">20&lt;/span> &lt;span class="c1">//Definicion de un par de la stl
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">21&lt;/span> &lt;span class="k">typedef&lt;/span> &lt;span class="n">pair&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="kt">int&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="kt">int&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">&amp;gt;&lt;/span> &lt;span class="n">pii&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">22&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">23&lt;/span> &lt;span class="c1">//Constantes del programa
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">24&lt;/span> &lt;span class="k">const&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">MAXN&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">10002&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">25&lt;/span> &lt;span class="k">const&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">MAXM&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">502&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">26&lt;/span> &lt;span class="k">const&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">MAXMEM&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">2&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">MAXN&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">27&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">28&lt;/span> &lt;span class="c1">//Clase para definir los hijos del arbol
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">29&lt;/span> &lt;span class="c1">//Es una lista con todos los hijos de cada nodo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">30&lt;/span> &lt;span class="k">class&lt;/span> &lt;span class="nc">Graph&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">31&lt;/span> &lt;span class="k">public&lt;/span> &lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">32&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="n">addNode&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">node&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">value&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">33&lt;/span> &lt;span class="n">nodes&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">node&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">push&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_back&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">value&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">34&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">35&lt;/span> &lt;span class="n">list&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="kt">int&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">&amp;gt;&lt;/span> &lt;span class="n">nodes&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">MAXN&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">];&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">36&lt;/span> &lt;span class="p">};&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">37&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">38&lt;/span> &lt;span class="c1">//Clase para cola de las busquedas en amplitud
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">39&lt;/span> &lt;span class="c1">//Es de tipo generica
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">40&lt;/span> &lt;span class="k">template&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="k">class&lt;/span> &lt;span class="nc">T&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">41&lt;/span> &lt;span class="k">class&lt;/span> &lt;span class="nc">Queue&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">42&lt;/span> &lt;span class="k">public&lt;/span> &lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">43&lt;/span> &lt;span class="n">Queue&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span> &lt;span class="n">init&lt;/span>&lt;span class="p">();&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">44&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="nf">init&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span> &lt;span class="n">p1&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">p2&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">1&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">45&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="nf">push&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">T&lt;/span> &lt;span class="n">val&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span> &lt;span class="n">memory&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="o">++&lt;/span>&lt;span class="n">p1&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">val&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">46&lt;/span> &lt;span class="n">T&lt;/span> &lt;span class="nf">front&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span> &lt;span class="k">return&lt;/span> &lt;span class="n">memory&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">p2&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">];&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">47&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="nf">pop&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span> &lt;span class="n">p2&lt;/span>&lt;span class="o">++&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">48&lt;/span> &lt;span class="kt">bool&lt;/span> &lt;span class="nf">empty&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span> &lt;span class="k">return&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">p1&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">p2&lt;/span>&lt;span class="p">);&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">49&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">50&lt;/span> &lt;span class="k">private&lt;/span> &lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">51&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">p1&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">p2&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">52&lt;/span> &lt;span class="n">T&lt;/span> &lt;span class="n">memory&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">MAXMEM&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">];&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">53&lt;/span> &lt;span class="p">};&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">54&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">55&lt;/span> &lt;span class="c1">//Definicion de todas las variables del programa
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">56&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">M&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">C&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="c1">//Variables dadas
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">57&lt;/span> &lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">MAXN&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">],&lt;/span> &lt;span class="c1">//La cantidad de colores posibles por nodo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">58&lt;/span> &lt;span class="n">parents&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">MAXN&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">],&lt;/span> &lt;span class="c1">//El padre de cada nodo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">59&lt;/span> &lt;span class="n">colorAssigned&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">MAXN&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">];&lt;/span> &lt;span class="c1">//El color que le asigne al final al nodo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">60&lt;/span> &lt;span class="kt">bool&lt;/span> &lt;span class="n">allowedColors&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">MAXN&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">MAXM&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">];&lt;/span> &lt;span class="c1">//Una matriz con todos los colores posibles por cada nodo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">61&lt;/span> &lt;span class="n">list&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="kt">int&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">&amp;gt;&lt;/span> &lt;span class="n">nodesOrder&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="c1">//Una lista ordenada de mayor a menor por la profundidad de cada nodo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">62&lt;/span> &lt;span class="n">Graph&lt;/span> &lt;span class="n">tree&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="c1">//Mi arbol
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">63&lt;/span> &lt;span class="n">Queue&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">pii&lt;/span>&lt;span class="o">&amp;gt;&lt;/span> &lt;span class="n">searchDepth&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="c1">//Una cola para la busqueda
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">64&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">65&lt;/span> &lt;span class="c1">//Regresa el color valido por cada nodo permitiendo que un nodo no sea de un color
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">66&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">validColor&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">node&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">constraint&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">67&lt;/span> &lt;span class="k">for&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">i&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">i&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">M&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="o">++&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">68&lt;/span> &lt;span class="nf">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColors&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">node&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="n">constraint&lt;/span> &lt;span class="o">!=&lt;/span> &lt;span class="n">i&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">69&lt;/span> &lt;span class="k">return&lt;/span> &lt;span class="n">i&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">70&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">71&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">72&lt;/span> &lt;span class="k">return&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">73&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">74&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">75&lt;/span> &lt;span class="c1">//Funcion para la lectura de todas las variables y la inicializacion de las estructuras
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">76&lt;/span> &lt;span class="c1">//Los asserts son para probar que el codigo es correcto
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">77&lt;/span> &lt;span class="o">/&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">Guarda&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">allowedColors&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">posibles&lt;/span> &lt;span class="n">colores&lt;/span> &lt;span class="n">por&lt;/span> &lt;span class="n">nodo&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">una&lt;/span> &lt;span class="n">matriz&lt;/span>&lt;span class="err">\*/&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">78&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="n">read&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">79&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">node&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">prohibited&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">80&lt;/span> &lt;span class="nf">scanf&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="s">&amp;#34;%d%d&amp;#34;&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">&amp;amp;&lt;/span>&lt;span class="n">N&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">&amp;amp;&lt;/span>&lt;span class="n">M&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">81&lt;/span> &lt;span class="nf">assert&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">1&lt;/span> &lt;span class="o">&amp;lt;=&lt;/span> &lt;span class="n">N&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="n">N&lt;/span> &lt;span class="o">&amp;lt;=&lt;/span> &lt;span class="n">MAXN&lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="mi">2&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">82&lt;/span> &lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">M&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">83&lt;/span> &lt;span class="nf">memset&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColors&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="nb">true&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="k">sizeof&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColors&lt;/span>&lt;span class="p">));&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">84&lt;/span> &lt;span class="k">for&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">1&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="o">++&lt;/span>&lt;span class="n">k&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">85&lt;/span> &lt;span class="nf">scanf&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="s">&amp;#34;%d&amp;#34;&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">&amp;amp;&lt;/span>&lt;span class="n">node&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">86&lt;/span> &lt;span class="nf">assert&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span> &lt;span class="o">&amp;lt;=&lt;/span> &lt;span class="n">node&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="n">node&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">87&lt;/span> &lt;span class="n">parents&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">node&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">88&lt;/span> &lt;span class="n">tree&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">addNode&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">node&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">89&lt;/span> &lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">M&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">90&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">91&lt;/span> &lt;span class="nf">scanf&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="s">&amp;#34;%d&amp;#34;&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">&amp;amp;&lt;/span>&lt;span class="n">C&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">92&lt;/span> &lt;span class="k">for&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">C&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="o">++&lt;/span>&lt;span class="n">k&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">93&lt;/span> &lt;span class="nf">scanf&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="s">&amp;#34;%d%d&amp;#34;&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">&amp;amp;&lt;/span>&lt;span class="n">node&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">&amp;amp;&lt;/span>&lt;span class="n">prohibited&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">94&lt;/span> &lt;span class="nf">assert&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span> &lt;span class="o">&amp;lt;=&lt;/span> &lt;span class="n">node&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="n">node&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">N&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="mi">0&lt;/span> &lt;span class="o">&amp;lt;=&lt;/span> &lt;span class="n">prohibited&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="n">prohibited&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">M&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">95&lt;/span> &lt;span class="nf">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColors&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">node&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">prohibited&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">])&lt;/span> &lt;span class="p">{&lt;/span> &lt;span class="c1">//Checa que los nodos no se repitan ya que se pueden repetir
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">96&lt;/span> &lt;span class="n">allowedColors&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">node&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">prohibited&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="nb">false&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">97&lt;/span> &lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">node&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">--&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">98&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">99&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">100&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">101&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">102&lt;/span> &lt;span class="o">/&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">Una&lt;/span> &lt;span class="n">busqueda&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">amplitud&lt;/span> &lt;span class="n">para&lt;/span> &lt;span class="s">&amp;#34;linearizar el árbol&amp;#34;&lt;/span>&lt;span class="err">\*/&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">103&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="n">orderNodes&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">104&lt;/span> &lt;span class="n">searchDepth&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">push&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">make&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_pair&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">));&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">105&lt;/span> &lt;span class="nf">while&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="o">!&lt;/span>&lt;span class="n">searchDepth&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">empty&lt;/span>&lt;span class="p">())&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">106&lt;/span> &lt;span class="n">pii&lt;/span> &lt;span class="n">value&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">searchDepth&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">front&lt;/span>&lt;span class="p">();&lt;/span> &lt;span class="n">searchDepth&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">pop&lt;/span>&lt;span class="p">();&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">107&lt;/span> &lt;span class="n">nodesOrder&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">push&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_front&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">value&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">first&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">108&lt;/span> &lt;span class="n">TR&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">tree&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">nodes&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">value&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">first&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">],&lt;/span> &lt;span class="n">it&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">109&lt;/span> &lt;span class="n">searchDepth&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">push&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">make&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_pair&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">it&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">value&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">second&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">1&lt;/span>&lt;span class="p">));&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">110&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">111&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">112&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">113&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">114&lt;/span> &lt;span class="o">/&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">Checa&lt;/span> &lt;span class="n">por&lt;/span> &lt;span class="n">cada&lt;/span> &lt;span class="n">nodo&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">mayor&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="n">menor&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">linearizacion&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">colores&lt;/span> &lt;span class="n">posibles&lt;/span> &lt;span class="n">por&lt;/span> &lt;span class="n">nodo&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">solo&lt;/span> &lt;span class="n">tiene&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="n">color&lt;/span> &lt;span class="n">posible&lt;/span>&lt;span class="err">\*/&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">115&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="n">enforceArc&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">116&lt;/span> &lt;span class="nf">TR&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">nodesOrder&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">it&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">117&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">currNode&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">it&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">118&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">parent&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">parents&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">it&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">];&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">119&lt;/span> &lt;span class="k">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">currNode&lt;/span> &lt;span class="o">!=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">120&lt;/span> &lt;span class="k">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">currNode&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">1&lt;/span> &lt;span class="o">||&lt;/span> &lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">parent&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">1&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">121&lt;/span> &lt;span class="k">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">parent&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">1&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">122&lt;/span> &lt;span class="n">swap&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">currNode&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">parent&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">123&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">124&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">color&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">validColor&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">currNode&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">125&lt;/span> &lt;span class="c1">//printf(&amp;#34;%d %d %d\\n&amp;#34;, currNode, parent, color);
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span>&lt;span class="mi">126&lt;/span> &lt;span class="k">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColors&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">parent&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">color&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">])&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">127&lt;/span> &lt;span class="n">allowedColors&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">parent&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">color&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="nb">false&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">128&lt;/span> &lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">parent&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">--&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">129&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">130&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">131&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">132&lt;/span> &lt;span class="c1">//Si no hay colores posibles, no se puede resolver el mapa
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span>&lt;span class="mi">133&lt;/span> &lt;span class="k">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">currNode&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">&amp;lt;=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">134&lt;/span> &lt;span class="n">printf&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="s">&amp;#34;-1&lt;/span>&lt;span class="se">\\&lt;/span>&lt;span class="s">n&amp;#34;&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">135&lt;/span> &lt;span class="n">exit&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">136&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">137&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">138&lt;/span> &lt;span class="c1">//Checa de nuevo si alguno de los colores no puede ser
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span>&lt;span class="mi">139&lt;/span> &lt;span class="k">for&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="o">++&lt;/span>&lt;span class="n">k&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">140&lt;/span> &lt;span class="nf">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">141&lt;/span> &lt;span class="n">printf&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="s">&amp;#34;-1&lt;/span>&lt;span class="se">\\&lt;/span>&lt;span class="s">n&amp;#34;&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">142&lt;/span> &lt;span class="n">exit&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">143&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">144&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">145&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">146&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">147&lt;/span> &lt;span class="c1">//Hace un ciclo checando el menor color posible por nodo e imprime los colores menores
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span>&lt;span class="mi">148&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="n">findSolution&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">149&lt;/span> &lt;span class="n">colorAssigned&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">150&lt;/span> &lt;span class="n">list&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="kt">int&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">&amp;gt;::&lt;/span>&lt;span class="n">iterator&lt;/span> &lt;span class="n">it&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">nodesOrder&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">end&lt;/span>&lt;span class="p">();&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">151&lt;/span> &lt;span class="k">do&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">152&lt;/span> &lt;span class="n">it&lt;/span> &lt;span class="o">--&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">153&lt;/span> &lt;span class="nf">assert&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span> &lt;span class="o">&amp;lt;=&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">it&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">it&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">154&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">color&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">validColor&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">it&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">155&lt;/span> &lt;span class="nf">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">colorAssigned&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">parents&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">it&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="n">color&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">156&lt;/span> &lt;span class="n">color&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">validColor&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">it&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">color&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">157&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">158&lt;/span> &lt;span class="nf">assert&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span> &lt;span class="o">&amp;lt;=&lt;/span> &lt;span class="n">color&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="n">color&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">M&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">159&lt;/span> &lt;span class="n">colorAssigned&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">it&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">color&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">160&lt;/span> &lt;span class="p">}&lt;/span> &lt;span class="k">while&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">it&lt;/span> &lt;span class="o">!=&lt;/span> &lt;span class="n">nodesOrder&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">begin&lt;/span>&lt;span class="p">())&lt;/span> &lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">161&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">162&lt;/span> &lt;span class="k">for&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="o">++&lt;/span>&lt;span class="n">k&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">163&lt;/span> &lt;span class="nf">printf&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="s">&amp;#34;%d&lt;/span>&lt;span class="se">\\&lt;/span>&lt;span class="s">n&amp;#34;&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">colorAssigned&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">164&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">165&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">166&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">167&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="nf">main&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">168&lt;/span> &lt;span class="n">read&lt;/span>&lt;span class="p">();&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">169&lt;/span> &lt;span class="n">orderNodes&lt;/span>&lt;span class="p">();&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">170&lt;/span> &lt;span class="n">enforceArc&lt;/span>&lt;span class="p">();&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">171&lt;/span> &lt;span class="n">findSolution&lt;/span>&lt;span class="p">();&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">172&lt;/span> &lt;span class="k">return&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">173&lt;/span> &lt;span class="p">}&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
@@ -859,36 +859,36 @@ termina()&lt;/p>
 &lt;p>Si tomamos la misma idea pero ahora teniendo en cuenta que existen rectángulos adhesivos, nos encontramos con el problema de que si rasgamos un cuadro necesitamos recordar el color la capa de papel que se encontraba debajo de la capa &amp;ldquo;visible&amp;rdquo;, y además podemos rasgar tantas veces como capas de papel hemos puesto. Con esto tenemos que necesitamos guardar un número de valores igual al número de capas que hemos puesto. Además tenemos que tener en cuenta el orden en el que fuimos poniendo las capas; esto es la última capa que pusimos debe de recordarse primero que la primera que pusimos, o en otras palabras: El primero que entras es el último que sale, así como el el último que entra es el primero que sale. Ese comportamiento lo encontramos en la estructura de datos Pila (Si no conoces la estructura de datos, puedes consultarla &lt;a href="http://es.wikipedia.org/wiki/Pila_%28inform%c3%a1tica%29" target="_blank" rel="noopener">acá&lt;/a>).&lt;/p>
 &lt;p>A continuación se encuentra la implementación de una estrúctura Pila que nos serviría para este problema:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">struct&lt;/span> &lt;span style="color:#a6e22e">Pila&lt;/span>{
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">char&lt;/span> arreglo[&lt;span style="color:#ae81ff">2002&lt;/span>];
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">short&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> posActual;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e">//Devuelve si la pila esta vacia
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">bool&lt;/span> &lt;span style="color:#a6e22e">estaVacia&lt;/span>(){
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> posActual &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e">//inserta un elemento en cima de la pila
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> &lt;span style="color:#a6e22e">push&lt;/span>(&lt;span style="color:#66d9ef">char&lt;/span> valor){
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> posActual&lt;span style="color:#f92672">++&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> arreglo[posActual] &lt;span style="color:#f92672">=&lt;/span> valor;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e">//quita el elemento de la cima de la pila y lo devuelve
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">char&lt;/span> &lt;span style="color:#a6e22e">pop&lt;/span>(){
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">char&lt;/span> valor &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span>(&lt;span style="color:#f92672">!&lt;/span>estaVacia()){
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> valor &lt;span style="color:#f92672">=&lt;/span> arreglo[posActual];
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> posActual&lt;span style="color:#f92672">--&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> valor;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e">//devuelve el valor del elemento de la cima de la pila
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">char&lt;/span> &lt;span style="color:#a6e22e">top&lt;/span>(){
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> arreglo[posActual];
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>};
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl">&lt;span class="k">struct&lt;/span> &lt;span class="nc">Pila&lt;/span>&lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">char&lt;/span> &lt;span class="n">arreglo&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">2002&lt;/span>&lt;span class="p">];&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">short&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">posActual&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="c1">//Devuelve si la pila esta vacia
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="kt">bool&lt;/span> &lt;span class="nf">estaVacia&lt;/span>&lt;span class="p">(){&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="n">posActual&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="c1">//inserta un elemento en cima de la pila
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="nf">push&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="kt">char&lt;/span> &lt;span class="n">valor&lt;/span>&lt;span class="p">){&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">posActual&lt;/span>&lt;span class="o">++&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">arreglo&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">posActual&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">valor&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="c1">//quita el elemento de la cima de la pila y lo devuelve
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="kt">char&lt;/span> &lt;span class="nf">pop&lt;/span>&lt;span class="p">(){&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">char&lt;/span> &lt;span class="n">valor&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="o">!&lt;/span>&lt;span class="n">estaVacia&lt;/span>&lt;span class="p">()){&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">valor&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">arreglo&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">posActual&lt;/span>&lt;span class="p">];&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">posActual&lt;/span>&lt;span class="o">--&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="n">valor&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="c1">//devuelve el valor del elemento de la cima de la pila
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="kt">char&lt;/span> &lt;span class="nf">top&lt;/span>&lt;span class="p">(){&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="n">arreglo&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">posActual&lt;/span>&lt;span class="p">];&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="p">};&lt;/span>
 &lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
diff --git "a/tags/ethan-jim\303\251nez/index.html" "b/tags/ethan-jim\303\251nez/index.html"
index 852ea0e..cb13466 100644
--- "a/tags/ethan-jim\303\251nez/index.html"
+++ "b/tags/ethan-jim\303\251nez/index.html"
@@ -1,6 +1,10 @@
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diff --git a/tags/ethan/index.html b/tags/ethan/index.html
index 1883dae..61e5ade 100644
--- a/tags/ethan/index.html
+++ b/tags/ethan/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/examen-1/index.html b/tags/examen-1/index.html
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diff --git a/tags/examen-10/index.html b/tags/examen-10/index.html
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diff --git a/tags/examen-12/index.html b/tags/examen-12/index.html
index 4e7136c..de6f933 100644
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@@ -1,6 +1,10 @@
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diff --git a/tags/examen-12/index.xml b/tags/examen-12/index.xml
index 498401d..6f433a3 100644
--- a/tags/examen-12/index.xml
+++ b/tags/examen-12/index.xml
@@ -5,15 +5,15 @@
 &lt;p>La solución a este problema consistía en programar el método descrito. Este método inherentemente está basado en la técnica de divide y vencerás.&lt;/p>
 &lt;p>A continuación, un pseudo-código que muestra la forma de llevar a cabo la transformación de un mapa de bits bidimensional a la forma reducida:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si todos los elementos en mapaDeBits son iguales
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Imprime el valor y termina
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si no
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Imprime D
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits.superiorIzquierdo)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits.superiorDerecho)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits.inferiorIzquierdo)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits.inferiorDerecho)
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">todos&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">elementos&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">mapaDeBits&lt;/span> &lt;span class="n">son&lt;/span> &lt;span class="n">iguales&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Imprime&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">valor&lt;/span> &lt;span class="n">y&lt;/span> &lt;span class="n">termina&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">no&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Imprime&lt;/span> &lt;span class="n">D&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">superiorIzquierdo&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">superiorDerecho&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">inferiorIzquierdo&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">inferiorDerecho&lt;/span>&lt;span class="p">)&lt;/span>
 &lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
@@ -26,14 +26,14 @@ title="Copiar código"
 &lt;/div>
 &lt;p>El método para hacer la transformación inversa es muy parecido, sólo que para imprimir la equivalencia hay que comenzar con un mapa de bits bidimensional que nos sirva de variable auxiliar para hacer la conversión. Esta variable auxiliar se puede declarar de manera global y, cuando el método recursivo termine, simplemente imprimir su contenido:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits, sección)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si mapaDeBits comienza con un valor
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Rellenar sección del mapa bidimensional con el valor
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si no
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.superiorIzquierda)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.superiorDerecha)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.inferiorIzquierda)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.inferiorDerecha)
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">mapaDeBits&lt;/span> &lt;span class="n">comienza&lt;/span> &lt;span class="n">con&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="n">valor&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Rellenar&lt;/span> &lt;span class="n">sección&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">mapa&lt;/span> &lt;span class="n">bidimensional&lt;/span> &lt;span class="n">con&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">valor&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">no&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">removerPrimerElemento&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">superiorIzquierda&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">removerPrimerElemento&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">superiorDerecha&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">removerPrimerElemento&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">inferiorIzquierda&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">removerPrimerElemento&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">inferiorDerecha&lt;/span>&lt;span class="p">)&lt;/span>
 &lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
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diff --git a/tags/examen-13/index.html b/tags/examen-13/index.html
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@@ -1,6 +1,10 @@
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diff --git a/tags/examen-14/index.html b/tags/examen-14/index.html
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diff --git a/tags/examen-17/index.html b/tags/examen-17/index.html
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diff --git a/tags/examen-17/index.xml b/tags/examen-17/index.xml
index 76d3566..4e6c264 100644
--- a/tags/examen-17/index.xml
+++ b/tags/examen-17/index.xml
@@ -11,11 +11,11 @@
 &lt;p>$latex \mathrm{dp}_r=\mathrm{interesante}(r)\ \mathrm{si}\ \Sigma_h\mathrm{dp}_h=0$ $latex \mathrm{dp}_r = \Sigma_h\mathrm{dp}_h+1\ \mathrm{si}\ \Sigma_c\mathrm{dp}_h&amp;gt;0$&lt;/p>
 &lt;p>$latex h$ es un hijo de $latex r$. La arista extra $latex (u,v)$ en el ciclo $latex c$ permite usar otros caminos a lo largo de $latex c$. Tales caminos deben conectar todos los nodos en $latex c$ que tengan nodos interesantes en su árbol después de quitar las aristas del ciclo $latex E-c$. Etiquetemos tales nodos con un uno y los demás nodos del $latex c$ con un cero. Para $latex E-(u,v)$ el ciclo sólo no cubre los últimos ceros. Para encontrar la solución sólo basta encontrar la secuencia de ceros más grande. En el siguiente diagrama, la arista que falta es $latex (u,v)$. La DP sólo no usa el último cero, pero es mejor no usar los dos ceros que están adyacentes.&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">0&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#f92672">/&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>\
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">1&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#960050;background-color:#1e0010">\\&lt;/span> &lt;span style="color:#f92672">/&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">1&lt;/span>&lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">0&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">0&lt;/span> &lt;span class="mi">1&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="o">/&lt;/span> &lt;span class="err">\&lt;/span>\
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">1&lt;/span> &lt;span class="mi">0&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="err">\\&lt;/span> &lt;span class="o">/&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">1&lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="mi">0&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
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diff --git a/tags/examen-2/index.html b/tags/examen-2/index.html
index 72bb8de..20e21a3 100644
--- a/tags/examen-2/index.html
+++ b/tags/examen-2/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/examen-2/index.xml b/tags/examen-2/index.xml
index 5224fe6..dc15232 100644
--- a/tags/examen-2/index.xml
+++ b/tags/examen-2/index.xml
@@ -11,36 +11,36 @@
 &lt;p>Si tomamos la misma idea pero ahora teniendo en cuenta que existen rectángulos adhesivos, nos encontramos con el problema de que si rasgamos un cuadro necesitamos recordar el color la capa de papel que se encontraba debajo de la capa &amp;ldquo;visible&amp;rdquo;, y además podemos rasgar tantas veces como capas de papel hemos puesto. Con esto tenemos que necesitamos guardar un número de valores igual al número de capas que hemos puesto. Además tenemos que tener en cuenta el orden en el que fuimos poniendo las capas; esto es la última capa que pusimos debe de recordarse primero que la primera que pusimos, o en otras palabras: El primero que entras es el último que sale, así como el el último que entra es el primero que sale. Ese comportamiento lo encontramos en la estructura de datos Pila (Si no conoces la estructura de datos, puedes consultarla &lt;a href="http://es.wikipedia.org/wiki/Pila_%28inform%c3%a1tica%29" target="_blank" rel="noopener">acá&lt;/a>).&lt;/p>
 &lt;p>A continuación se encuentra la implementación de una estrúctura Pila que nos serviría para este problema:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">struct&lt;/span> &lt;span style="color:#a6e22e">Pila&lt;/span>{
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">char&lt;/span> arreglo[&lt;span style="color:#ae81ff">2002&lt;/span>];
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">short&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> posActual;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e">//Devuelve si la pila esta vacia
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">bool&lt;/span> &lt;span style="color:#a6e22e">estaVacia&lt;/span>(){
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> posActual &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e">//inserta un elemento en cima de la pila
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> &lt;span style="color:#a6e22e">push&lt;/span>(&lt;span style="color:#66d9ef">char&lt;/span> valor){
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> posActual&lt;span style="color:#f92672">++&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> arreglo[posActual] &lt;span style="color:#f92672">=&lt;/span> valor;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e">//quita el elemento de la cima de la pila y lo devuelve
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">char&lt;/span> &lt;span style="color:#a6e22e">pop&lt;/span>(){
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">char&lt;/span> valor &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span>(&lt;span style="color:#f92672">!&lt;/span>estaVacia()){
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> valor &lt;span style="color:#f92672">=&lt;/span> arreglo[posActual];
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> posActual&lt;span style="color:#f92672">--&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> valor;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e">//devuelve el valor del elemento de la cima de la pila
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">char&lt;/span> &lt;span style="color:#a6e22e">top&lt;/span>(){
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> arreglo[posActual];
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>};
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl">&lt;span class="k">struct&lt;/span> &lt;span class="nc">Pila&lt;/span>&lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">char&lt;/span> &lt;span class="n">arreglo&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">2002&lt;/span>&lt;span class="p">];&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">short&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">posActual&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="c1">//Devuelve si la pila esta vacia
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="kt">bool&lt;/span> &lt;span class="nf">estaVacia&lt;/span>&lt;span class="p">(){&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="n">posActual&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="c1">//inserta un elemento en cima de la pila
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="nf">push&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="kt">char&lt;/span> &lt;span class="n">valor&lt;/span>&lt;span class="p">){&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">posActual&lt;/span>&lt;span class="o">++&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">arreglo&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">posActual&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">valor&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="c1">//quita el elemento de la cima de la pila y lo devuelve
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="kt">char&lt;/span> &lt;span class="nf">pop&lt;/span>&lt;span class="p">(){&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">char&lt;/span> &lt;span class="n">valor&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="o">!&lt;/span>&lt;span class="n">estaVacia&lt;/span>&lt;span class="p">()){&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">valor&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">arreglo&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">posActual&lt;/span>&lt;span class="p">];&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">posActual&lt;/span>&lt;span class="o">--&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="n">valor&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="c1">//devuelve el valor del elemento de la cima de la pila
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="kt">char&lt;/span> &lt;span class="nf">top&lt;/span>&lt;span class="p">(){&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="n">arreglo&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">posActual&lt;/span>&lt;span class="p">];&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="p">};&lt;/span>
 &lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
diff --git a/tags/examen-4/index.html b/tags/examen-4/index.html
index 1ded25e..74a95c7 100644
--- a/tags/examen-4/index.html
+++ b/tags/examen-4/index.html
@@ -1,6 +1,10 @@
 <!doctype html><html lang=es><head><meta charset=utf-8><meta name=viewport content="width=device-width,initial-scale=1"><meta name=robots content="index, follow"><link rel="icon shortcut" href=/favicon.ico sizes=32x32><link rel=icon href=/favicon.svg type=image/svg+xml><link rel=icon href=/favicon-dark.svg type=image/svg+xml media="(prefers-color-scheme: dark)"><link rel=icon href=/favicon-16x16.png type=image/png sizes=16x16><link rel=icon href=/favicon-32x32.png type=image/png sizes=32x32><link rel=apple-touch-icon href=/apple-touch-icon.png sizes=180x180><link fetchpriority=low href=/site.webmanifest rel=manifest><title>Examen 4 – omegaUp blog</title>
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diff --git a/tags/examen-5/index.html b/tags/examen-5/index.html
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diff --git a/tags/examen-5/index.xml b/tags/examen-5/index.xml
index 5cee568..39bf3cc 100644
--- a/tags/examen-5/index.xml
+++ b/tags/examen-5/index.xml
@@ -10,102 +10,102 @@
 &lt;p>La estrategia que yo personalmente seguí fue que cada que encontraba un nuevo estado, obtenía su &lt;a href="http://es.wikipedia.org/wiki/Funci%C3%B3n_hash" target="_blank" rel="noopener">hash&lt;/a> (que resultaba en un entero de 64 bits) y verificaba si no lo había visitado usando una tabla de hash&lt;a href="#note" >*&lt;/a>. Si no la había visitado, encontraba todos los estados vecinos (todos los tableros que resultaban de hacer un movimiento válido) y los guardaba en una fila de acuerdo a la cantidad de puntos (entre más puntos, más adelante en la fila). Luego, elegía aleatoriamente un estado de la fila dándole prioridad a los que estaban más adelante (pues son los que tienen mayor probabilidad de llegar a una buena solución), lo cual también me evitaba seguir un único camino donde me podría atorar. Repetí eso hasta que se me terminó la memoria de la computadora e imprimí la mejor solución.&lt;/p>
 &lt;p>A continuación, el pseudocódigo de la solución:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">class&lt;/span> &lt;span style="color:#a6e22e">Estado&lt;/span>&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">int&lt;/span> puntos &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">bool&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[N&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[N&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] tablero
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Estado padre &lt;span style="color:#f92672">=&lt;/span> null
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> def &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_init&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_(Estado p)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> puntos &lt;span style="color:#f92672">=&lt;/span> p.puntos
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> tablero &lt;span style="color:#f92672">=&lt;/span> p.tablero
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> padre &lt;span style="color:#f92672">=&lt;/span> p
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> def hash()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Puedes usar cualquier algoritmo que genere un entero de 64 bits
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># a partir de tablero y puntos. Este es el más sencillo.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> hash &lt;span style="color:#f92672">=&lt;/span> puntos
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">for&lt;/span> i in range(&lt;span style="color:#ae81ff">0&lt;/span>, N)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> hash &lt;span style="color:#f92672">=&lt;/span> ((hash &lt;span style="color:#f92672">&amp;lt;&amp;lt;&lt;/span> &lt;span style="color:#ae81ff">7&lt;/span>) &lt;span style="color:#f92672">|&lt;/span> (hash &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> &lt;span style="color:#ae81ff">53&lt;/span>)) &lt;span style="color:#f92672">^&lt;/span> tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> hash
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> def siguientes(queue&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#ae81ff">300&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] colas)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Para todas las celdas (i, j) del tablero...
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span> i in range(&lt;span style="color:#ae81ff">0&lt;/span>, N)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">for&lt;/span> j in range(&lt;span style="color:#ae81ff">0&lt;/span>, N)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Si la celda tiene una pieza...
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Para todos los vecinos contiguos (i+k, j+l)...
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span> k in range(&lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>, &lt;span style="color:#ae81ff">2&lt;/span>)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">for&lt;/span> l in range(&lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>, &lt;span style="color:#ae81ff">2&lt;/span>)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Asegúrate que se haya movido \_algo\_.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> k &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span> &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> l &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>&lt;span style="color:#f92672">:&lt;/span> &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Y que pueda brincar dentro del tablero.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> j &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> l &lt;span style="color:#f92672">&amp;lt;&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span> or j &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> l &lt;span style="color:#f92672">&amp;gt;=&lt;/span> N: &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Y que haya brincado una pieza.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> not tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i &lt;span style="color:#f92672">+&lt;/span> k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j &lt;span style="color:#f92672">+&lt;/span> l&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#f92672">:&lt;/span> &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Y que el lugar a donde brinca esté desocupado.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> l&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#f92672">:&lt;/span> &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> hijo &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#66d9ef">new&lt;/span> Estado(&lt;span style="color:#66d9ef">this&lt;/span>)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Aumenta la puntuación del hijo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> hijo.puntos&lt;span style="color:#f92672">++&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Borra la ficha original y la &amp;#34;comida&amp;#34;.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> hijo.tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> hijo.tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i &lt;span style="color:#f92672">+&lt;/span> k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j &lt;span style="color:#f92672">+&lt;/span> l&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>\
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> False
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Agrega la ficha en su posición final.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> hijo.tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> l&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> True
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Agrégala a la cola correspondiente.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[hijo.puntos&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].push(hijo)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>def elige&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_estado()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Número aleatorio entre 0 y 1.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> r &lt;span style="color:#f92672">=&lt;/span> (random() &lt;span style="color:#f92672">/&lt;/span> (&lt;span style="color:#66d9ef">float&lt;/span>)RAND&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_MAX)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># El índice de la última cola que estuvo llena.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> ultimolleno &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># La cola que se está considerando.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> x &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Elige la cola con mayores puntos que no esté vacía como
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># primera opción.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span> i in range(&lt;span style="color:#ae81ff">0&lt;/span>, N)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span> not colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].vacio()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> x &lt;span style="color:#f92672">=&lt;/span> i
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># La primer cola tiene probabilidad de 31% de ser elegida.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># La segunda cola tiene probabilidad de 21%, la tercera 14%,
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># la cuarta 10% y así sucesivamente.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">while&lt;/span> x &lt;span style="color:#f92672">&amp;gt;=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span> not colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[x&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].vacio()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ultimolleno &lt;span style="color:#f92672">=&lt;/span> x
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> x&lt;span style="color:#f92672">--&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> r &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*=&lt;/span> &lt;span style="color:#ae81ff">1.45&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span> r &lt;span style="color:#f92672">&amp;gt;=&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span> and ultimolleno &lt;span style="color:#f92672">!=&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span> &lt;span style="color:#66d9ef">break&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span> ultimolleno &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>&lt;span style="color:#f92672">:&lt;/span> &lt;span style="color:#66d9ef">return&lt;/span> Null
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[lastfull&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].pop()
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>queue&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#ae81ff">300&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] colas
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>hashtable estados&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_visitados
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#960050;background-color:#1e0010">\#&lt;/span> lee el estado original
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#ae81ff">0&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].push(estado&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_original)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Estado mejor &lt;span style="color:#f92672">=&lt;/span> estado&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_original
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">while&lt;/span> no&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_se&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_haya&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_terminado&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_la&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_memoria()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Estado s &lt;span style="color:#f92672">=&lt;/span> elige&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_estado()
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Si ya no hay más estados por visitar,
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># encontramos la respuesta óptima en algún punto.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> s &lt;span style="color:#f92672">==&lt;/span> Null: &lt;span style="color:#66d9ef">break&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Actualiza |mejor| si hay una respuesta mejor.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> mejor.puntos &lt;span style="color:#f92672">&amp;lt;&lt;/span> s.puntos: mejor &lt;span style="color:#f92672">=&lt;/span> s
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Repetir estados es malo.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> s.hash() in estados&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_visitados: &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> estados&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_visitados.add(s.hash())
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Agrega todos los vecinos.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> s.siguiente(colas)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#960050;background-color:#1e0010">\#&lt;/span> A partir de este punto, &lt;span style="color:#f92672">|&lt;/span>mejor&lt;span style="color:#f92672">|&lt;/span> contiene la mejor solución. Podemos
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e"># saber qué movimiento se hizo para llegar a él comparando las
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e"># diferencias entre el tablero de |mejor.padre| y |mejor|. Ya solo es
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e"># cuestión de imprimir el resultado y listo.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> Aquí mucha gente se va a quejar porque solo guardar el hash abre la puerta a que haya dos estados que puede tener hasta &lt;span style="color:#ae81ff">900&lt;/span> bits que tengan el mismo hash de &lt;span style="color:#ae81ff">64&lt;/span> bits (por el [principio del palomar](http:&lt;span style="color:#75715e">//es.wikipedia.org/wiki/Principio_del_palomar)) y esté considerando que ya se visitó un estado que en realidad es nuevo. Si haces las cuentas, la probabilidad de colisión es negligible: la cantidad de estados que podía visitar en mi computadora (27 millones) es significativamente más pequeña que el número de estados necesarios para que la probabilidad de colisión sea de 1% ($latex \\approx 10^{135}$, por la [paradoja del cumpleaños](http://es.wikipedia.org/wiki/Paradoja_del_cumplea%C3%B1os)).
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl">&lt;span class="k">class&lt;/span> &lt;span class="nc">Estado&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">int&lt;/span> &lt;span class="n">puntos&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">bool&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">N&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">N&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="n">tablero&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Estado&lt;/span> &lt;span class="n">padre&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">null&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">def&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="n">_&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_init&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">Estado&lt;/span> &lt;span class="n">p&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">puntos&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">p&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">puntos&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">tablero&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">p&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tablero&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">padre&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">p&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">def&lt;/span> &lt;span class="n">hash&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Puedes usar cualquier algoritmo que genere un entero de 64 bits
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># a partir de tablero y puntos. Este es el más sencillo.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">hash&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">puntos&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">for&lt;/span> &lt;span class="n">i&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">hash&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="p">((&lt;/span>&lt;span class="n">hash&lt;/span> &lt;span class="o">&amp;lt;&amp;lt;&lt;/span> &lt;span class="mi">7&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="o">|&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">hash&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="mi">53&lt;/span>&lt;span class="p">))&lt;/span> &lt;span class="o">^&lt;/span> &lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="n">hash&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">def&lt;/span> &lt;span class="n">siguientes&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">queue&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">300&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Para todas las celdas (i, j) del tablero...
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">for&lt;/span> &lt;span class="n">i&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">for&lt;/span> &lt;span class="n">j&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Si la celda tiene una pieza...
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Para todos los vecinos contiguos (i+k, j+l)...
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">for&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="mi">2&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">for&lt;/span> &lt;span class="n">l&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="mi">2&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Asegúrate que se haya movido \_algo\_.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">0&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="n">l&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="o">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Y que pueda brincar dentro del tablero.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">l&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="mi">0&lt;/span> &lt;span class="n">or&lt;/span> &lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">l&lt;/span> &lt;span class="o">&amp;gt;=&lt;/span> &lt;span class="nl">N&lt;/span>&lt;span class="p">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Y que haya brincado una pieza.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">not&lt;/span> &lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">l&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="o">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Y que el lugar a donde brinca esté desocupado.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">l&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="o">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">hijo&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="k">new&lt;/span> &lt;span class="n">Estado&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="k">this&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Aumenta la puntuación del hijo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">puntos&lt;/span>&lt;span class="o">++&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Borra la ficha original y la &amp;#34;comida&amp;#34;.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">l&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="err">\&lt;/span>\
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">False&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Agrega la ficha en su posición final.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">l&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">True&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Agrégala a la cola correspondiente.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">puntos&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">push&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">hijo&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">def&lt;/span> &lt;span class="n">elige&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_estado&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Número aleatorio entre 0 y 1.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">r&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">random&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="o">/&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="kt">float&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="n">RAND&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_MAX&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># El índice de la última cola que estuvo llena.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">ultimolleno&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># La cola que se está considerando.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">x&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Elige la cola con mayores puntos que no esté vacía como
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># primera opción.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">for&lt;/span> &lt;span class="n">i&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span> &lt;span class="n">not&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">vacio&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">x&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">i&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># La primer cola tiene probabilidad de 31% de ser elegida.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># La segunda cola tiene probabilidad de 21%, la tercera 14%,
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># la cuarta 10% y así sucesivamente.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">while&lt;/span> &lt;span class="n">x&lt;/span> &lt;span class="o">&amp;gt;=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span> &lt;span class="n">not&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">x&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">vacio&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ultimolleno&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">x&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">x&lt;/span>&lt;span class="o">--&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">r&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*=&lt;/span> &lt;span class="mf">1.45&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span> &lt;span class="n">r&lt;/span> &lt;span class="o">&amp;gt;=&lt;/span> &lt;span class="mi">1&lt;/span> &lt;span class="n">and&lt;/span> &lt;span class="n">ultimolleno&lt;/span> &lt;span class="o">!=&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span> &lt;span class="k">break&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span> &lt;span class="n">ultimolleno&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="o">:&lt;/span> &lt;span class="k">return&lt;/span> &lt;span class="n">Null&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">lastfull&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">pop&lt;/span>&lt;span class="p">()&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">queue&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">300&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="n">colas&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">hashtable&lt;/span> &lt;span class="n">estados&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_visitados&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="err">\#&lt;/span> &lt;span class="n">lee&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">estado&lt;/span> &lt;span class="n">original&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">push&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">estado&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_original&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Estado&lt;/span> &lt;span class="n">mejor&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">estado&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_original&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="k">while&lt;/span> &lt;span class="n">no&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_se&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_haya&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_terminado&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_la&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_memoria&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Estado&lt;/span> &lt;span class="n">s&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">elige&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_estado&lt;/span>&lt;span class="p">()&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Si ya no hay más estados por visitar,
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># encontramos la respuesta óptima en algún punto.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">s&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="nl">Null&lt;/span>&lt;span class="p">:&lt;/span> &lt;span class="k">break&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Actualiza |mejor| si hay una respuesta mejor.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">mejor&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">puntos&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">s&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="nl">puntos&lt;/span>&lt;span class="p">:&lt;/span> &lt;span class="n">mejor&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">s&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Repetir estados es malo.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">s&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">hash&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">estados&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="nl">_visitados&lt;/span>&lt;span class="p">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">estados&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_visitados&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">add&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">s&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">hash&lt;/span>&lt;span class="p">())&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Agrega todos los vecinos.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">s&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">siguiente&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">colas&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="err">\#&lt;/span> &lt;span class="n">A&lt;/span> &lt;span class="n">partir&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">este&lt;/span> &lt;span class="n">punto&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">|&lt;/span>&lt;span class="n">mejor&lt;/span>&lt;span class="o">|&lt;/span> &lt;span class="n">contiene&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">mejor&lt;/span> &lt;span class="n">solución&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">Podemos&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp"># saber qué movimiento se hizo para llegar a él comparando las
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp"># diferencias entre el tablero de |mejor.padre| y |mejor|. Ya solo es
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp"># cuestión de imprimir el resultado y listo.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">Aquí&lt;/span> &lt;span class="n">mucha&lt;/span> &lt;span class="n">gente&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">va&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="n">quejar&lt;/span> &lt;span class="n">porque&lt;/span> &lt;span class="n">solo&lt;/span> &lt;span class="n">guardar&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">hash&lt;/span> &lt;span class="n">abre&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">puerta&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">haya&lt;/span> &lt;span class="n">dos&lt;/span> &lt;span class="n">estados&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">puede&lt;/span> &lt;span class="n">tener&lt;/span> &lt;span class="n">hasta&lt;/span> &lt;span class="mi">900&lt;/span> &lt;span class="n">bits&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">tengan&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">mismo&lt;/span> &lt;span class="n">hash&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="mi">64&lt;/span> &lt;span class="n">bits&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">por&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="p">[&lt;/span>&lt;span class="n">principio&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">palomar&lt;/span>&lt;span class="p">](&lt;/span>&lt;span class="nl">http&lt;/span>&lt;span class="p">:&lt;/span>&lt;span class="c1">//es.wikipedia.org/wiki/Principio_del_palomar)) y esté considerando que ya se visitó un estado que en realidad es nuevo. Si haces las cuentas, la probabilidad de colisión es negligible: la cantidad de estados que podía visitar en mi computadora (27 millones) es significativamente más pequeña que el número de estados necesarios para que la probabilidad de colisión sea de 1% ($latex \\approx 10^{135}$, por la [paradoja del cumpleaños](http://es.wikipedia.org/wiki/Paradoja_del_cumplea%C3%B1os)).
 &lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
@@ -159,7 +159,7 @@ sea maxima siempre y cuando &lt;video autoplay muted loop>
 &lt;h2>Para los 100 puntos&lt;span class="hx-absolute -hx-mt-20" id="para-los-100-puntos">&lt;/span>
 &lt;a href="#para-los-100-puntos" class="subheading-anchor" aria-label="Permalink for this section">&lt;/a>&lt;/h2>&lt;p>Esta solución era para aquellos que supieran hacer una búsqueda utilizando una cola de prioridad. La idea es que al sacar un elemento de la cola siempre nos dé aquel al que se puede llegar con la menor cantidad de movimientos. Este procedimiento es idéntico a una búsqueda en amplitud solo que se utiliza una cola de prioridad. En la solución hago uso de un montículo como cola de prioridad.&lt;/p>
 &lt;script src="https://gist.github.com/OlimpiadaMexicanadeInformatica/6559202.js">&lt;/script></description></item><item><title>Solución a "K-Arbol"</title><link>https://blog.omegaup.com/posts/solucion-a-k-arbol/</link><pubDate>Mon, 07 Jan 2013 17:37:40 +0000</pubDate><guid>https://blog.omegaup.com/posts/solucion-a-k-arbol/</guid><description>
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+&lt;!-- .Special { color: #118800; } .Constant { color: #339999; } .Type { color: #aaaa77; } .Statement { color: #ff6600; } .String { color: #22bb00; } .PreProc { color: #66bbbb; } .Comment { color: #9933cc; font-style: italic; } -->
 &lt;p>&lt;strong>Concurso:&lt;/strong> &lt;a href="https://omegaup.com/arena/IOI2013E1P5" target="_blank" rel="noopener">Preselectivo para la IOI 2013, Etapa 1, Examen 5&lt;/a> **Autor: **&lt;a href="mailto:lkt345@gmail.com" >Saul de Nova Caballero&lt;/a>&lt;/p>
 &lt;p>En pocas palabras el problema es, dado un árbol que se puede colorear, encuentra la menor solución satisfaciendo las restricciones dadas sobre los colores. Este problema es un caso particular de Graph Coloring(en español coloración de grafos), en donde el grafo es un árbol.&lt;/p>
 &lt;h1>Subcaso 1(10 puntos)&lt;/h1>&lt;p>Para el primer subcaso era posible hacer una búsqueda en profunidad sobre todos los nodos, encontrando la menor solución. Para guardar el árbol, era posible utilizar una matriz que guardara todos los colores posibles y entonces ver si era posible una solución con el menor color posible. La solución de este caso era trivial si se usaba una búsqueda exhaustiva.&lt;/p>
@@ -185,179 +185,179 @@ sea maxima siempre y cuando &lt;video autoplay muted loop>
 &lt;p>&lt;img src="https://blog.omegaup.com/images/linearizar.jpg" alt="" loading="lazy" />&lt;/p>
 &lt;p>Imagen obtenida de &lt;a href="http://aima.cs.berkeley.edu/newchap05.pdf" target="_blank" rel="noopener">http://aima.cs.berkeley.edu/newchap05.pdf&lt;/a>&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">1&lt;/span> &lt;span style="color:#75715e">// karbol100.cpp
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#75715e">// By Saul de Nova Caballero
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">3&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">4&lt;/span> &lt;span style="color:#75715e">//Librerias de la standard template library de c++(stl)
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">5&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>include &lt;span style="color:#f92672">&amp;lt;&lt;/span>algorithm&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">6&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>include &lt;span style="color:#f92672">&amp;lt;&lt;/span>cassert&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">7&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>include &lt;span style="color:#f92672">&amp;lt;&lt;/span>cstdio&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">8&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>include &lt;span style="color:#f92672">&amp;lt;&lt;/span>cstdlib&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">9&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>include &lt;span style="color:#f92672">&amp;lt;&lt;/span>cstring&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">10&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>include &lt;span style="color:#f92672">&amp;lt;&lt;/span>iostream&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">11&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>include &lt;span style="color:#f92672">&amp;lt;&lt;/span>list&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">12&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>include &lt;span style="color:#f92672">&amp;lt;&lt;/span>utility&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">13&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">14&lt;/span> &lt;span style="color:#66d9ef">using&lt;/span> &lt;span style="color:#66d9ef">namespace&lt;/span> std;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">15&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">16&lt;/span> &lt;span style="color:#75715e">//Iterador sobre estructuras de datos. En este caso listas de la stl
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">17&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>define TR(container, it) &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>\
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">18&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span>(typeof(container.begin()) it &lt;span style="color:#f92672">=&lt;/span> container.begin() ; it &lt;span style="color:#f92672">!=&lt;/span> container.end() ; &lt;span style="color:#f92672">++&lt;/span>it)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">19&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">20&lt;/span> &lt;span style="color:#75715e">//Definicion de un par de la stl
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">21&lt;/span> &lt;span style="color:#66d9ef">typedef&lt;/span> pair&lt;span style="color:#f92672">&amp;lt;&lt;/span>&lt;span style="color:#66d9ef">int&lt;/span>, &lt;span style="color:#66d9ef">int&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">&amp;gt;&lt;/span> pii;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">22&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">23&lt;/span> &lt;span style="color:#75715e">//Constantes del programa
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">24&lt;/span> &lt;span style="color:#66d9ef">const&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> MAXN &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">10002&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">25&lt;/span> &lt;span style="color:#66d9ef">const&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> MAXM &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">502&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">26&lt;/span> &lt;span style="color:#66d9ef">const&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> MAXMEM &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>MAXN;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">27&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">28&lt;/span> &lt;span style="color:#75715e">//Clase para definir los hijos del arbol
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">29&lt;/span> &lt;span style="color:#75715e">//Es una lista con todos los hijos de cada nodo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">30&lt;/span> &lt;span style="color:#66d9ef">class&lt;/span> &lt;span style="color:#a6e22e">Graph&lt;/span> {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">31&lt;/span> &lt;span style="color:#66d9ef">public&lt;/span> &lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">32&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> addNode(&lt;span style="color:#66d9ef">int&lt;/span> node, &lt;span style="color:#66d9ef">int&lt;/span> value) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">33&lt;/span> nodes&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[node&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].push&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_back(value);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">34&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">35&lt;/span> list&lt;span style="color:#f92672">&amp;lt;&lt;/span>&lt;span style="color:#66d9ef">int&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">&amp;gt;&lt;/span> nodes&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[MAXN&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>];
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">36&lt;/span> };
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">37&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">38&lt;/span> &lt;span style="color:#75715e">//Clase para cola de las busquedas en amplitud
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">39&lt;/span> &lt;span style="color:#75715e">//Es de tipo generica
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">40&lt;/span> &lt;span style="color:#66d9ef">template&lt;/span>&lt;span style="color:#f92672">&amp;lt;&lt;/span>&lt;span style="color:#66d9ef">class&lt;/span> &lt;span style="color:#a6e22e">T&lt;/span>&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">41&lt;/span> &lt;span style="color:#66d9ef">class&lt;/span> &lt;span style="color:#a6e22e">Queue&lt;/span> {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">42&lt;/span> &lt;span style="color:#66d9ef">public&lt;/span> &lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">43&lt;/span> Queue() { init(); }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">44&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> &lt;span style="color:#a6e22e">init&lt;/span>() { p1 &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>; p2 &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>; }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">45&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> &lt;span style="color:#a6e22e">push&lt;/span>(T val) { memory&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#f92672">++&lt;/span>p1&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> val; }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">46&lt;/span> T &lt;span style="color:#a6e22e">front&lt;/span>() { &lt;span style="color:#66d9ef">return&lt;/span> memory&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[p2&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]; }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">47&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> &lt;span style="color:#a6e22e">pop&lt;/span>() { p2&lt;span style="color:#f92672">++&lt;/span>; }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">48&lt;/span> &lt;span style="color:#66d9ef">bool&lt;/span> &lt;span style="color:#a6e22e">empty&lt;/span>() { &lt;span style="color:#66d9ef">return&lt;/span> (p1 &lt;span style="color:#f92672">&amp;lt;&lt;/span> p2); }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">49&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">50&lt;/span> &lt;span style="color:#66d9ef">private&lt;/span> &lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">51&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> p1, p2;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">52&lt;/span> T memory&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[MAXMEM&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>];
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">53&lt;/span> };
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">54&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">55&lt;/span> &lt;span style="color:#75715e">//Definicion de todas las variables del programa
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">56&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> N, M, C, &lt;span style="color:#75715e">//Variables dadas
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">57&lt;/span> allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[MAXN&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>], &lt;span style="color:#75715e">//La cantidad de colores posibles por nodo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">58&lt;/span> parents&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[MAXN&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>], &lt;span style="color:#75715e">//El padre de cada nodo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">59&lt;/span> colorAssigned&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[MAXN&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]; &lt;span style="color:#75715e">//El color que le asigne al final al nodo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">60&lt;/span> &lt;span style="color:#66d9ef">bool&lt;/span> allowedColors&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[MAXN&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[MAXM&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]; &lt;span style="color:#75715e">//Una matriz con todos los colores posibles por cada nodo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">61&lt;/span> list&lt;span style="color:#f92672">&amp;lt;&lt;/span>&lt;span style="color:#66d9ef">int&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">&amp;gt;&lt;/span> nodesOrder; &lt;span style="color:#75715e">//Una lista ordenada de mayor a menor por la profundidad de cada nodo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">62&lt;/span> Graph tree; &lt;span style="color:#75715e">//Mi arbol
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">63&lt;/span> Queue&lt;span style="color:#f92672">&amp;lt;&lt;/span>pii&lt;span style="color:#f92672">&amp;gt;&lt;/span> searchDepth; &lt;span style="color:#75715e">//Una cola para la busqueda
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">64&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">65&lt;/span> &lt;span style="color:#75715e">//Regresa el color valido por cada nodo permitiendo que un nodo no sea de un color
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">66&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> validColor(&lt;span style="color:#66d9ef">int&lt;/span> node, &lt;span style="color:#66d9ef">int&lt;/span> constraint &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">67&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span>(&lt;span style="color:#66d9ef">int&lt;/span> i &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>; i &lt;span style="color:#f92672">&amp;lt;&lt;/span> M; &lt;span style="color:#f92672">++&lt;/span>i) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">68&lt;/span> &lt;span style="color:#a6e22e">if&lt;/span>(allowedColors&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[node&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> constraint &lt;span style="color:#f92672">!=&lt;/span> i) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">69&lt;/span> &lt;span style="color:#66d9ef">return&lt;/span> i;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">70&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">71&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">72&lt;/span> &lt;span style="color:#66d9ef">return&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">73&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">74&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">75&lt;/span> &lt;span style="color:#75715e">//Funcion para la lectura de todas las variables y la inicializacion de las estructuras
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">76&lt;/span> &lt;span style="color:#75715e">//Los asserts son para probar que el codigo es correcto
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">77&lt;/span> &lt;span style="color:#f92672">/&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>Guarda en allowedColors los posibles colores por nodo en una matriz&lt;span style="color:#960050;background-color:#1e0010">\*/&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">78&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> read() {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">79&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> node, prohibited;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">80&lt;/span> &lt;span style="color:#a6e22e">scanf&lt;/span>(&lt;span style="color:#e6db74">&amp;#34;%d%d&amp;#34;&lt;/span>, &lt;span style="color:#f92672">&amp;amp;&lt;/span>N, &lt;span style="color:#f92672">&amp;amp;&lt;/span>M);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">81&lt;/span> &lt;span style="color:#a6e22e">assert&lt;/span>(&lt;span style="color:#ae81ff">1&lt;/span> &lt;span style="color:#f92672">&amp;lt;=&lt;/span> N &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> N &lt;span style="color:#f92672">&amp;lt;=&lt;/span> MAXN&lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">2&lt;/span>);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">82&lt;/span> allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#ae81ff">0&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> M;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">83&lt;/span> &lt;span style="color:#a6e22e">memset&lt;/span>(allowedColors, true, &lt;span style="color:#66d9ef">sizeof&lt;/span>(allowedColors));
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">84&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span>(&lt;span style="color:#66d9ef">int&lt;/span> k &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>; k &lt;span style="color:#f92672">&amp;lt;&lt;/span> N; &lt;span style="color:#f92672">++&lt;/span>k) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">85&lt;/span> &lt;span style="color:#a6e22e">scanf&lt;/span>(&lt;span style="color:#e6db74">&amp;#34;%d&amp;#34;&lt;/span>, &lt;span style="color:#f92672">&amp;amp;&lt;/span>node);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">86&lt;/span> &lt;span style="color:#a6e22e">assert&lt;/span>(&lt;span style="color:#ae81ff">0&lt;/span> &lt;span style="color:#f92672">&amp;lt;=&lt;/span> node &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> node &lt;span style="color:#f92672">&amp;lt;&lt;/span> N);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">87&lt;/span> parents&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> node;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">88&lt;/span> tree.addNode(node, k);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">89&lt;/span> allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> M;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">90&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">91&lt;/span> &lt;span style="color:#a6e22e">scanf&lt;/span>(&lt;span style="color:#e6db74">&amp;#34;%d&amp;#34;&lt;/span>, &lt;span style="color:#f92672">&amp;amp;&lt;/span>C);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">92&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span>(&lt;span style="color:#66d9ef">int&lt;/span> k &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>; k &lt;span style="color:#f92672">&amp;lt;&lt;/span> C; &lt;span style="color:#f92672">++&lt;/span>k) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">93&lt;/span> &lt;span style="color:#a6e22e">scanf&lt;/span>(&lt;span style="color:#e6db74">&amp;#34;%d%d&amp;#34;&lt;/span>, &lt;span style="color:#f92672">&amp;amp;&lt;/span>node, &lt;span style="color:#f92672">&amp;amp;&lt;/span>prohibited);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">94&lt;/span> &lt;span style="color:#a6e22e">assert&lt;/span>(&lt;span style="color:#ae81ff">0&lt;/span> &lt;span style="color:#f92672">&amp;lt;=&lt;/span> node &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> node &lt;span style="color:#f92672">&amp;lt;&lt;/span> N &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span> &lt;span style="color:#f92672">&amp;lt;=&lt;/span> prohibited &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> prohibited &lt;span style="color:#f92672">&amp;lt;&lt;/span> M);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">95&lt;/span> &lt;span style="color:#a6e22e">if&lt;/span>(allowedColors&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[node&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[prohibited&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]) { &lt;span style="color:#75715e">//Checa que los nodos no se repitan ya que se pueden repetir
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">96&lt;/span> allowedColors&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[node&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[prohibited&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> false;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">97&lt;/span> allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[node&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">--&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">98&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">99&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">100&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">101&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">102&lt;/span> &lt;span style="color:#f92672">/&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>Una busqueda en amplitud para &lt;span style="color:#e6db74">&amp;#34;linearizar el árbol&amp;#34;&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\*/&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">103&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> orderNodes() {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">104&lt;/span> searchDepth.push(make&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_pair(&lt;span style="color:#ae81ff">0&lt;/span>, &lt;span style="color:#ae81ff">0&lt;/span>));
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">105&lt;/span> &lt;span style="color:#a6e22e">while&lt;/span>(&lt;span style="color:#f92672">!&lt;/span>searchDepth.empty()) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">106&lt;/span> pii value &lt;span style="color:#f92672">=&lt;/span> searchDepth.front(); searchDepth.pop();
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">107&lt;/span> nodesOrder.push&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_front(value.first);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">108&lt;/span> TR(tree.nodes&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[value.first&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>], it) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">109&lt;/span> searchDepth.push(make&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_pair(&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it, value.second &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>));
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">110&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">111&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">112&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">113&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">114&lt;/span> &lt;span style="color:#f92672">/&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>Checa por cada nodo de mayor a menor en la linearizacion, los colores posibles por nodo que solo tiene un color posible&lt;span style="color:#960050;background-color:#1e0010">\*/&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">115&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> enforceArc() {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">116&lt;/span> &lt;span style="color:#a6e22e">TR&lt;/span>(nodesOrder, it) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">117&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> currNode &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">118&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> parent &lt;span style="color:#f92672">=&lt;/span> parents&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>];
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">119&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span>(currNode &lt;span style="color:#f92672">!=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">120&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span>(allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[currNode&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span> &lt;span style="color:#f92672">||&lt;/span> allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[parent&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">121&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span>(allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[parent&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">122&lt;/span> swap(currNode, parent);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">123&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">124&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> color &lt;span style="color:#f92672">=&lt;/span> validColor(currNode);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">125&lt;/span> &lt;span style="color:#75715e">//printf(&amp;#34;%d %d %d\\n&amp;#34;, currNode, parent, color);
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>&lt;span style="color:#ae81ff">126&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span>(allowedColors&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[parent&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[color&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">127&lt;/span> allowedColors&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[parent&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[color&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> false;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">128&lt;/span> allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[parent&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">--&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">129&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">130&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">131&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">132&lt;/span> &lt;span style="color:#75715e">//Si no hay colores posibles, no se puede resolver el mapa
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>&lt;span style="color:#ae81ff">133&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span>(allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[currNode&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">&amp;lt;=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">134&lt;/span> printf(&lt;span style="color:#e6db74">&amp;#34;-1&lt;/span>&lt;span style="color:#ae81ff">\\&lt;/span>&lt;span style="color:#e6db74">n&amp;#34;&lt;/span>);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">135&lt;/span> exit(&lt;span style="color:#ae81ff">0&lt;/span>);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">136&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">137&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">138&lt;/span> &lt;span style="color:#75715e">//Checa de nuevo si alguno de los colores no puede ser
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>&lt;span style="color:#ae81ff">139&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span>(&lt;span style="color:#66d9ef">int&lt;/span> k &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>; k &lt;span style="color:#f92672">&amp;lt;&lt;/span> N; &lt;span style="color:#f92672">++&lt;/span>k) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">140&lt;/span> &lt;span style="color:#a6e22e">if&lt;/span>(allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">141&lt;/span> printf(&lt;span style="color:#e6db74">&amp;#34;-1&lt;/span>&lt;span style="color:#ae81ff">\\&lt;/span>&lt;span style="color:#e6db74">n&amp;#34;&lt;/span>);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">142&lt;/span> exit(&lt;span style="color:#ae81ff">0&lt;/span>);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">143&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">144&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">145&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">146&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">147&lt;/span> &lt;span style="color:#75715e">//Hace un ciclo checando el menor color posible por nodo e imprime los colores menores
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>&lt;span style="color:#ae81ff">148&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> findSolution() {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">149&lt;/span> colorAssigned&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#ae81ff">0&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">150&lt;/span> list&lt;span style="color:#f92672">&amp;lt;&lt;/span>&lt;span style="color:#66d9ef">int&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">&amp;gt;::&lt;/span>iterator it &lt;span style="color:#f92672">=&lt;/span> nodesOrder.end();
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">151&lt;/span> &lt;span style="color:#66d9ef">do&lt;/span> {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">152&lt;/span> it &lt;span style="color:#f92672">--&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">153&lt;/span> &lt;span style="color:#a6e22e">assert&lt;/span>(&lt;span style="color:#ae81ff">0&lt;/span> &lt;span style="color:#f92672">&amp;lt;=&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it &lt;span style="color:#f92672">&amp;lt;&lt;/span> N);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">154&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> color &lt;span style="color:#f92672">=&lt;/span> validColor(&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">155&lt;/span> &lt;span style="color:#a6e22e">if&lt;/span>(colorAssigned&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[parents&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">==&lt;/span> color) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">156&lt;/span> color &lt;span style="color:#f92672">=&lt;/span> validColor(&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it, color);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">157&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">158&lt;/span> &lt;span style="color:#a6e22e">assert&lt;/span>(&lt;span style="color:#ae81ff">0&lt;/span> &lt;span style="color:#f92672">&amp;lt;=&lt;/span> color &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> color &lt;span style="color:#f92672">&amp;lt;&lt;/span> M);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">159&lt;/span> colorAssigned&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> color;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">160&lt;/span> } &lt;span style="color:#66d9ef">while&lt;/span>(it &lt;span style="color:#f92672">!=&lt;/span> nodesOrder.begin()) ;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">161&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">162&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span>(&lt;span style="color:#66d9ef">int&lt;/span> k &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>; k &lt;span style="color:#f92672">&amp;lt;&lt;/span> N; &lt;span style="color:#f92672">++&lt;/span>k) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">163&lt;/span> &lt;span style="color:#a6e22e">printf&lt;/span>(&lt;span style="color:#e6db74">&amp;#34;%d&lt;/span>&lt;span style="color:#ae81ff">\\&lt;/span>&lt;span style="color:#e6db74">n&amp;#34;&lt;/span>, colorAssigned&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">164&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">165&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">166&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">167&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> &lt;span style="color:#a6e22e">main&lt;/span>() {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">168&lt;/span> read();
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">169&lt;/span> orderNodes();
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">170&lt;/span> enforceArc();
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">171&lt;/span> findSolution();
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">172&lt;/span> &lt;span style="color:#66d9ef">return&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">173&lt;/span> }&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">1&lt;/span> &lt;span class="c1">// karbol100.cpp
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="c1">// By Saul de Nova Caballero
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">3&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">4&lt;/span> &lt;span class="c1">//Librerias de la standard template library de c++(stl)
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">5&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">include&lt;/span> &lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">algorithm&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">6&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">include&lt;/span> &lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">cassert&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">7&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">include&lt;/span> &lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">cstdio&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">8&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">include&lt;/span> &lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">cstdlib&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">9&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">include&lt;/span> &lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">cstring&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">10&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">include&lt;/span> &lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">iostream&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">11&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">include&lt;/span> &lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">list&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">12&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">include&lt;/span> &lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">utility&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">13&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">14&lt;/span> &lt;span class="k">using&lt;/span> &lt;span class="k">namespace&lt;/span> &lt;span class="n">std&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">15&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">16&lt;/span> &lt;span class="c1">//Iterador sobre estructuras de datos. En este caso listas de la stl
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">17&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">define&lt;/span> &lt;span class="n">TR&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">container&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">it&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="err">\&lt;/span>\
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">18&lt;/span> &lt;span class="k">for&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">typeof&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">container&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">begin&lt;/span>&lt;span class="p">())&lt;/span> &lt;span class="n">it&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">container&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">begin&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">;&lt;/span> &lt;span class="n">it&lt;/span> &lt;span class="o">!=&lt;/span> &lt;span class="n">container&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">end&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">;&lt;/span> &lt;span class="o">++&lt;/span>&lt;span class="n">it&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">19&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">20&lt;/span> &lt;span class="c1">//Definicion de un par de la stl
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">21&lt;/span> &lt;span class="k">typedef&lt;/span> &lt;span class="n">pair&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="kt">int&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="kt">int&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">&amp;gt;&lt;/span> &lt;span class="n">pii&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">22&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">23&lt;/span> &lt;span class="c1">//Constantes del programa
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">24&lt;/span> &lt;span class="k">const&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">MAXN&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">10002&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">25&lt;/span> &lt;span class="k">const&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">MAXM&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">502&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">26&lt;/span> &lt;span class="k">const&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">MAXMEM&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">2&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">MAXN&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">27&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">28&lt;/span> &lt;span class="c1">//Clase para definir los hijos del arbol
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">29&lt;/span> &lt;span class="c1">//Es una lista con todos los hijos de cada nodo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">30&lt;/span> &lt;span class="k">class&lt;/span> &lt;span class="nc">Graph&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">31&lt;/span> &lt;span class="k">public&lt;/span> &lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">32&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="n">addNode&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">node&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">value&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">33&lt;/span> &lt;span class="n">nodes&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">node&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">push&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_back&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">value&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">34&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">35&lt;/span> &lt;span class="n">list&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="kt">int&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">&amp;gt;&lt;/span> &lt;span class="n">nodes&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">MAXN&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">];&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">36&lt;/span> &lt;span class="p">};&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">37&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">38&lt;/span> &lt;span class="c1">//Clase para cola de las busquedas en amplitud
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">39&lt;/span> &lt;span class="c1">//Es de tipo generica
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">40&lt;/span> &lt;span class="k">template&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="k">class&lt;/span> &lt;span class="nc">T&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">41&lt;/span> &lt;span class="k">class&lt;/span> &lt;span class="nc">Queue&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">42&lt;/span> &lt;span class="k">public&lt;/span> &lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">43&lt;/span> &lt;span class="n">Queue&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span> &lt;span class="n">init&lt;/span>&lt;span class="p">();&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">44&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="nf">init&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span> &lt;span class="n">p1&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">p2&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">1&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">45&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="nf">push&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">T&lt;/span> &lt;span class="n">val&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span> &lt;span class="n">memory&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="o">++&lt;/span>&lt;span class="n">p1&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">val&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">46&lt;/span> &lt;span class="n">T&lt;/span> &lt;span class="nf">front&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span> &lt;span class="k">return&lt;/span> &lt;span class="n">memory&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">p2&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">];&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">47&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="nf">pop&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span> &lt;span class="n">p2&lt;/span>&lt;span class="o">++&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">48&lt;/span> &lt;span class="kt">bool&lt;/span> &lt;span class="nf">empty&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span> &lt;span class="k">return&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">p1&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">p2&lt;/span>&lt;span class="p">);&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">49&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">50&lt;/span> &lt;span class="k">private&lt;/span> &lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">51&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">p1&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">p2&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">52&lt;/span> &lt;span class="n">T&lt;/span> &lt;span class="n">memory&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">MAXMEM&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">];&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">53&lt;/span> &lt;span class="p">};&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">54&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">55&lt;/span> &lt;span class="c1">//Definicion de todas las variables del programa
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">56&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">M&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">C&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="c1">//Variables dadas
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">57&lt;/span> &lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">MAXN&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">],&lt;/span> &lt;span class="c1">//La cantidad de colores posibles por nodo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">58&lt;/span> &lt;span class="n">parents&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">MAXN&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">],&lt;/span> &lt;span class="c1">//El padre de cada nodo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">59&lt;/span> &lt;span class="n">colorAssigned&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">MAXN&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">];&lt;/span> &lt;span class="c1">//El color que le asigne al final al nodo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">60&lt;/span> &lt;span class="kt">bool&lt;/span> &lt;span class="n">allowedColors&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">MAXN&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">MAXM&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">];&lt;/span> &lt;span class="c1">//Una matriz con todos los colores posibles por cada nodo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">61&lt;/span> &lt;span class="n">list&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="kt">int&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">&amp;gt;&lt;/span> &lt;span class="n">nodesOrder&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="c1">//Una lista ordenada de mayor a menor por la profundidad de cada nodo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">62&lt;/span> &lt;span class="n">Graph&lt;/span> &lt;span class="n">tree&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="c1">//Mi arbol
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">63&lt;/span> &lt;span class="n">Queue&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">pii&lt;/span>&lt;span class="o">&amp;gt;&lt;/span> &lt;span class="n">searchDepth&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="c1">//Una cola para la busqueda
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">64&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">65&lt;/span> &lt;span class="c1">//Regresa el color valido por cada nodo permitiendo que un nodo no sea de un color
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">66&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">validColor&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">node&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">constraint&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">67&lt;/span> &lt;span class="k">for&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">i&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">i&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">M&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="o">++&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">68&lt;/span> &lt;span class="nf">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColors&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">node&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="n">constraint&lt;/span> &lt;span class="o">!=&lt;/span> &lt;span class="n">i&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">69&lt;/span> &lt;span class="k">return&lt;/span> &lt;span class="n">i&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">70&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">71&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">72&lt;/span> &lt;span class="k">return&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">73&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">74&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">75&lt;/span> &lt;span class="c1">//Funcion para la lectura de todas las variables y la inicializacion de las estructuras
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">76&lt;/span> &lt;span class="c1">//Los asserts son para probar que el codigo es correcto
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">77&lt;/span> &lt;span class="o">/&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">Guarda&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">allowedColors&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">posibles&lt;/span> &lt;span class="n">colores&lt;/span> &lt;span class="n">por&lt;/span> &lt;span class="n">nodo&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">una&lt;/span> &lt;span class="n">matriz&lt;/span>&lt;span class="err">\*/&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">78&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="n">read&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">79&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">node&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">prohibited&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">80&lt;/span> &lt;span class="nf">scanf&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="s">&amp;#34;%d%d&amp;#34;&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">&amp;amp;&lt;/span>&lt;span class="n">N&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">&amp;amp;&lt;/span>&lt;span class="n">M&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">81&lt;/span> &lt;span class="nf">assert&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">1&lt;/span> &lt;span class="o">&amp;lt;=&lt;/span> &lt;span class="n">N&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="n">N&lt;/span> &lt;span class="o">&amp;lt;=&lt;/span> &lt;span class="n">MAXN&lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="mi">2&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">82&lt;/span> &lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">M&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">83&lt;/span> &lt;span class="nf">memset&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColors&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="nb">true&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="k">sizeof&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColors&lt;/span>&lt;span class="p">));&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">84&lt;/span> &lt;span class="k">for&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">1&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="o">++&lt;/span>&lt;span class="n">k&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">85&lt;/span> &lt;span class="nf">scanf&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="s">&amp;#34;%d&amp;#34;&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">&amp;amp;&lt;/span>&lt;span class="n">node&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">86&lt;/span> &lt;span class="nf">assert&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span> &lt;span class="o">&amp;lt;=&lt;/span> &lt;span class="n">node&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="n">node&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">87&lt;/span> &lt;span class="n">parents&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">node&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">88&lt;/span> &lt;span class="n">tree&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">addNode&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">node&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">89&lt;/span> &lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">M&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">90&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">91&lt;/span> &lt;span class="nf">scanf&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="s">&amp;#34;%d&amp;#34;&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">&amp;amp;&lt;/span>&lt;span class="n">C&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">92&lt;/span> &lt;span class="k">for&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">C&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="o">++&lt;/span>&lt;span class="n">k&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">93&lt;/span> &lt;span class="nf">scanf&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="s">&amp;#34;%d%d&amp;#34;&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">&amp;amp;&lt;/span>&lt;span class="n">node&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">&amp;amp;&lt;/span>&lt;span class="n">prohibited&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">94&lt;/span> &lt;span class="nf">assert&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span> &lt;span class="o">&amp;lt;=&lt;/span> &lt;span class="n">node&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="n">node&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">N&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="mi">0&lt;/span> &lt;span class="o">&amp;lt;=&lt;/span> &lt;span class="n">prohibited&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="n">prohibited&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">M&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">95&lt;/span> &lt;span class="nf">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColors&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">node&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">prohibited&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">])&lt;/span> &lt;span class="p">{&lt;/span> &lt;span class="c1">//Checa que los nodos no se repitan ya que se pueden repetir
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">96&lt;/span> &lt;span class="n">allowedColors&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">node&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">prohibited&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="nb">false&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">97&lt;/span> &lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">node&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">--&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">98&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">99&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">100&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">101&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">102&lt;/span> &lt;span class="o">/&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">Una&lt;/span> &lt;span class="n">busqueda&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">amplitud&lt;/span> &lt;span class="n">para&lt;/span> &lt;span class="s">&amp;#34;linearizar el árbol&amp;#34;&lt;/span>&lt;span class="err">\*/&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">103&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="n">orderNodes&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">104&lt;/span> &lt;span class="n">searchDepth&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">push&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">make&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_pair&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">));&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">105&lt;/span> &lt;span class="nf">while&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="o">!&lt;/span>&lt;span class="n">searchDepth&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">empty&lt;/span>&lt;span class="p">())&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">106&lt;/span> &lt;span class="n">pii&lt;/span> &lt;span class="n">value&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">searchDepth&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">front&lt;/span>&lt;span class="p">();&lt;/span> &lt;span class="n">searchDepth&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">pop&lt;/span>&lt;span class="p">();&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">107&lt;/span> &lt;span class="n">nodesOrder&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">push&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_front&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">value&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">first&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">108&lt;/span> &lt;span class="n">TR&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">tree&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">nodes&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">value&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">first&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">],&lt;/span> &lt;span class="n">it&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">109&lt;/span> &lt;span class="n">searchDepth&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">push&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">make&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_pair&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">it&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">value&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">second&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">1&lt;/span>&lt;span class="p">));&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">110&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">111&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">112&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">113&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">114&lt;/span> &lt;span class="o">/&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">Checa&lt;/span> &lt;span class="n">por&lt;/span> &lt;span class="n">cada&lt;/span> &lt;span class="n">nodo&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">mayor&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="n">menor&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">linearizacion&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">colores&lt;/span> &lt;span class="n">posibles&lt;/span> &lt;span class="n">por&lt;/span> &lt;span class="n">nodo&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">solo&lt;/span> &lt;span class="n">tiene&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="n">color&lt;/span> &lt;span class="n">posible&lt;/span>&lt;span class="err">\*/&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">115&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="n">enforceArc&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">116&lt;/span> &lt;span class="nf">TR&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">nodesOrder&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">it&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">117&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">currNode&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">it&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">118&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">parent&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">parents&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">it&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">];&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">119&lt;/span> &lt;span class="k">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">currNode&lt;/span> &lt;span class="o">!=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">120&lt;/span> &lt;span class="k">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">currNode&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">1&lt;/span> &lt;span class="o">||&lt;/span> &lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">parent&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">1&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">121&lt;/span> &lt;span class="k">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">parent&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">1&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">122&lt;/span> &lt;span class="n">swap&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">currNode&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">parent&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">123&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">124&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">color&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">validColor&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">currNode&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">125&lt;/span> &lt;span class="c1">//printf(&amp;#34;%d %d %d\\n&amp;#34;, currNode, parent, color);
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span>&lt;span class="mi">126&lt;/span> &lt;span class="k">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColors&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">parent&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">color&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">])&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">127&lt;/span> &lt;span class="n">allowedColors&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">parent&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">color&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="nb">false&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">128&lt;/span> &lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">parent&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">--&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">129&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">130&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">131&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">132&lt;/span> &lt;span class="c1">//Si no hay colores posibles, no se puede resolver el mapa
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span>&lt;span class="mi">133&lt;/span> &lt;span class="k">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">currNode&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">&amp;lt;=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">134&lt;/span> &lt;span class="n">printf&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="s">&amp;#34;-1&lt;/span>&lt;span class="se">\\&lt;/span>&lt;span class="s">n&amp;#34;&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">135&lt;/span> &lt;span class="n">exit&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">136&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">137&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">138&lt;/span> &lt;span class="c1">//Checa de nuevo si alguno de los colores no puede ser
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span>&lt;span class="mi">139&lt;/span> &lt;span class="k">for&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="o">++&lt;/span>&lt;span class="n">k&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">140&lt;/span> &lt;span class="nf">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">141&lt;/span> &lt;span class="n">printf&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="s">&amp;#34;-1&lt;/span>&lt;span class="se">\\&lt;/span>&lt;span class="s">n&amp;#34;&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">142&lt;/span> &lt;span class="n">exit&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">143&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">144&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">145&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">146&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">147&lt;/span> &lt;span class="c1">//Hace un ciclo checando el menor color posible por nodo e imprime los colores menores
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span>&lt;span class="mi">148&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="n">findSolution&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">149&lt;/span> &lt;span class="n">colorAssigned&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">150&lt;/span> &lt;span class="n">list&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="kt">int&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">&amp;gt;::&lt;/span>&lt;span class="n">iterator&lt;/span> &lt;span class="n">it&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">nodesOrder&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">end&lt;/span>&lt;span class="p">();&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">151&lt;/span> &lt;span class="k">do&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">152&lt;/span> &lt;span class="n">it&lt;/span> &lt;span class="o">--&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">153&lt;/span> &lt;span class="nf">assert&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span> &lt;span class="o">&amp;lt;=&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">it&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">it&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">154&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">color&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">validColor&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">it&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">155&lt;/span> &lt;span class="nf">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">colorAssigned&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">parents&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">it&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="n">color&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">156&lt;/span> &lt;span class="n">color&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">validColor&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">it&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">color&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">157&lt;/span> &lt;span class="p">}&lt;/span>
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+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">160&lt;/span> &lt;span class="p">}&lt;/span> &lt;span class="k">while&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">it&lt;/span> &lt;span class="o">!=&lt;/span> &lt;span class="n">nodesOrder&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">begin&lt;/span>&lt;span class="p">())&lt;/span> &lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">161&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">162&lt;/span> &lt;span class="k">for&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="o">++&lt;/span>&lt;span class="n">k&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">163&lt;/span> &lt;span class="nf">printf&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="s">&amp;#34;%d&lt;/span>&lt;span class="se">\\&lt;/span>&lt;span class="s">n&amp;#34;&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">colorAssigned&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">164&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">165&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">166&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">167&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="nf">main&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">168&lt;/span> &lt;span class="n">read&lt;/span>&lt;span class="p">();&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">169&lt;/span> &lt;span class="n">orderNodes&lt;/span>&lt;span class="p">();&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">170&lt;/span> &lt;span class="n">enforceArc&lt;/span>&lt;span class="p">();&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">171&lt;/span> &lt;span class="n">findSolution&lt;/span>&lt;span class="p">();&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">172&lt;/span> &lt;span class="k">return&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">173&lt;/span> &lt;span class="p">}&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
diff --git a/tags/examen-6/index.html b/tags/examen-6/index.html
index 5eae61e..5ec5f67 100644
--- a/tags/examen-6/index.html
+++ b/tags/examen-6/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/examen-7/index.html b/tags/examen-7/index.html
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diff --git a/tags/examen-8/index.html b/tags/examen-8/index.html
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diff --git a/tags/examen-8/index.xml b/tags/examen-8/index.xml
index d44b081..d834e5a 100644
--- a/tags/examen-8/index.xml
+++ b/tags/examen-8/index.xml
@@ -13,16 +13,16 @@
 &lt;p>&lt;strong>Concurso:&lt;/strong> &lt;a href="https://omegaup.com/arena/problem/ubongo-3d" target="_blank" rel="noopener">Preselectivo para la IOI 2014, Etapa 1, Problemset 8&lt;/a> &lt;strong>Autor:&lt;/strong> Miguel Covarrubias &lt;strong>Fuente:&lt;/strong> Miguel Covarrubias&lt;/p>
 &lt;p>La solución pone piezas de manera recursiva mientras quepan en el tablero y no se empalmen.&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span>resuelve(pieza)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> si pieza &lt;span style="color:#f92672">&amp;gt;&lt;/span> P
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> regresa &lt;span style="color:#960050;background-color:#1e0010">“&lt;/span>Si&lt;span style="color:#960050;background-color:#1e0010">”&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> para cada rotación de la pieza
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> para cada casilla g del tablero
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> para cada cubo c de la pieza
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> si al poner c sobre g, la pieza queda dentro de los primeros &lt;span style="color:#ae81ff">2&lt;/span> niveles del tablero y no se empalma con otra pieza ya puesta entonces
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> marca las posiciones de los cubos de la pieza como ocupados
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> resuelve(pieza &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> desmarca los cubos de la pieza&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl">&lt;span class="n">resuelve&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">pieza&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">si&lt;/span> &lt;span class="n">pieza&lt;/span> &lt;span class="o">&amp;gt;&lt;/span> &lt;span class="n">P&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">regresa&lt;/span> &lt;span class="err">“&lt;/span>&lt;span class="n">Si&lt;/span>&lt;span class="err">”&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">para&lt;/span> &lt;span class="n">cada&lt;/span> &lt;span class="n">rotación&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">pieza&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">para&lt;/span> &lt;span class="n">cada&lt;/span> &lt;span class="n">casilla&lt;/span> &lt;span class="n">g&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">tablero&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">para&lt;/span> &lt;span class="n">cada&lt;/span> &lt;span class="n">cubo&lt;/span> &lt;span class="n">c&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">pieza&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">si&lt;/span> &lt;span class="n">al&lt;/span> &lt;span class="n">poner&lt;/span> &lt;span class="n">c&lt;/span> &lt;span class="n">sobre&lt;/span> &lt;span class="n">g&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">pieza&lt;/span> &lt;span class="n">queda&lt;/span> &lt;span class="n">dentro&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">primeros&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="n">niveles&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">tablero&lt;/span> &lt;span class="n">y&lt;/span> &lt;span class="n">no&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">empalma&lt;/span> &lt;span class="n">con&lt;/span> &lt;span class="n">otra&lt;/span> &lt;span class="n">pieza&lt;/span> &lt;span class="n">ya&lt;/span> &lt;span class="n">puesta&lt;/span> &lt;span class="n">entonces&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">marca&lt;/span> &lt;span class="n">las&lt;/span> &lt;span class="n">posiciones&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">cubos&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">pieza&lt;/span> &lt;span class="n">como&lt;/span> &lt;span class="n">ocupados&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">resuelve&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">pieza&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">1&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">desmarca&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">cubos&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">pieza&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
diff --git a/tags/features/index.html b/tags/features/index.html
index 16fefc9..b668d80 100644
--- a/tags/features/index.html
+++ b/tags/features/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/felix/index.html b/tags/felix/index.html
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--- a/tags/felix/index.html
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diff --git a/tags/felix/index.xml b/tags/felix/index.xml
index def3ebe..22d7c09 100644
--- a/tags/felix/index.xml
+++ b/tags/felix/index.xml
@@ -110,102 +110,102 @@
 &lt;p>La estrategia que yo personalmente seguí fue que cada que encontraba un nuevo estado, obtenía su &lt;a href="http://es.wikipedia.org/wiki/Funci%C3%B3n_hash" target="_blank" rel="noopener">hash&lt;/a> (que resultaba en un entero de 64 bits) y verificaba si no lo había visitado usando una tabla de hash&lt;a href="#note" >*&lt;/a>. Si no la había visitado, encontraba todos los estados vecinos (todos los tableros que resultaban de hacer un movimiento válido) y los guardaba en una fila de acuerdo a la cantidad de puntos (entre más puntos, más adelante en la fila). Luego, elegía aleatoriamente un estado de la fila dándole prioridad a los que estaban más adelante (pues son los que tienen mayor probabilidad de llegar a una buena solución), lo cual también me evitaba seguir un único camino donde me podría atorar. Repetí eso hasta que se me terminó la memoria de la computadora e imprimí la mejor solución.&lt;/p>
 &lt;p>A continuación, el pseudocódigo de la solución:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">class&lt;/span> &lt;span style="color:#a6e22e">Estado&lt;/span>&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">int&lt;/span> puntos &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">bool&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[N&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[N&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] tablero
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Estado padre &lt;span style="color:#f92672">=&lt;/span> null
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> def &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_init&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_(Estado p)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> puntos &lt;span style="color:#f92672">=&lt;/span> p.puntos
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> tablero &lt;span style="color:#f92672">=&lt;/span> p.tablero
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> padre &lt;span style="color:#f92672">=&lt;/span> p
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> def hash()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Puedes usar cualquier algoritmo que genere un entero de 64 bits
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># a partir de tablero y puntos. Este es el más sencillo.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> hash &lt;span style="color:#f92672">=&lt;/span> puntos
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">for&lt;/span> i in range(&lt;span style="color:#ae81ff">0&lt;/span>, N)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> hash &lt;span style="color:#f92672">=&lt;/span> ((hash &lt;span style="color:#f92672">&amp;lt;&amp;lt;&lt;/span> &lt;span style="color:#ae81ff">7&lt;/span>) &lt;span style="color:#f92672">|&lt;/span> (hash &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> &lt;span style="color:#ae81ff">53&lt;/span>)) &lt;span style="color:#f92672">^&lt;/span> tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> hash
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> def siguientes(queue&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#ae81ff">300&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] colas)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Para todas las celdas (i, j) del tablero...
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span> i in range(&lt;span style="color:#ae81ff">0&lt;/span>, N)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">for&lt;/span> j in range(&lt;span style="color:#ae81ff">0&lt;/span>, N)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Si la celda tiene una pieza...
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Para todos los vecinos contiguos (i+k, j+l)...
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span> k in range(&lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>, &lt;span style="color:#ae81ff">2&lt;/span>)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">for&lt;/span> l in range(&lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>, &lt;span style="color:#ae81ff">2&lt;/span>)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Asegúrate que se haya movido \_algo\_.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> k &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span> &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> l &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>&lt;span style="color:#f92672">:&lt;/span> &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Y que pueda brincar dentro del tablero.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> j &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> l &lt;span style="color:#f92672">&amp;lt;&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span> or j &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> l &lt;span style="color:#f92672">&amp;gt;=&lt;/span> N: &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Y que haya brincado una pieza.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> not tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i &lt;span style="color:#f92672">+&lt;/span> k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j &lt;span style="color:#f92672">+&lt;/span> l&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#f92672">:&lt;/span> &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Y que el lugar a donde brinca esté desocupado.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> l&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#f92672">:&lt;/span> &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> hijo &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#66d9ef">new&lt;/span> Estado(&lt;span style="color:#66d9ef">this&lt;/span>)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Aumenta la puntuación del hijo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> hijo.puntos&lt;span style="color:#f92672">++&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Borra la ficha original y la &amp;#34;comida&amp;#34;.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> hijo.tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> hijo.tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i &lt;span style="color:#f92672">+&lt;/span> k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j &lt;span style="color:#f92672">+&lt;/span> l&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>\
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> False
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Agrega la ficha en su posición final.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> hijo.tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> l&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> True
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Agrégala a la cola correspondiente.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[hijo.puntos&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].push(hijo)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>def elige&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_estado()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Número aleatorio entre 0 y 1.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> r &lt;span style="color:#f92672">=&lt;/span> (random() &lt;span style="color:#f92672">/&lt;/span> (&lt;span style="color:#66d9ef">float&lt;/span>)RAND&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_MAX)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># El índice de la última cola que estuvo llena.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> ultimolleno &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># La cola que se está considerando.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> x &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Elige la cola con mayores puntos que no esté vacía como
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># primera opción.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span> i in range(&lt;span style="color:#ae81ff">0&lt;/span>, N)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span> not colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].vacio()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> x &lt;span style="color:#f92672">=&lt;/span> i
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># La primer cola tiene probabilidad de 31% de ser elegida.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># La segunda cola tiene probabilidad de 21%, la tercera 14%,
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># la cuarta 10% y así sucesivamente.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">while&lt;/span> x &lt;span style="color:#f92672">&amp;gt;=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span> not colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[x&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].vacio()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ultimolleno &lt;span style="color:#f92672">=&lt;/span> x
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> x&lt;span style="color:#f92672">--&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> r &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*=&lt;/span> &lt;span style="color:#ae81ff">1.45&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span> r &lt;span style="color:#f92672">&amp;gt;=&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span> and ultimolleno &lt;span style="color:#f92672">!=&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span> &lt;span style="color:#66d9ef">break&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span> ultimolleno &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>&lt;span style="color:#f92672">:&lt;/span> &lt;span style="color:#66d9ef">return&lt;/span> Null
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[lastfull&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].pop()
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>queue&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#ae81ff">300&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] colas
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>hashtable estados&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_visitados
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#960050;background-color:#1e0010">\#&lt;/span> lee el estado original
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#ae81ff">0&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].push(estado&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_original)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Estado mejor &lt;span style="color:#f92672">=&lt;/span> estado&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_original
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">while&lt;/span> no&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_se&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_haya&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_terminado&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_la&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_memoria()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Estado s &lt;span style="color:#f92672">=&lt;/span> elige&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_estado()
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Si ya no hay más estados por visitar,
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># encontramos la respuesta óptima en algún punto.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> s &lt;span style="color:#f92672">==&lt;/span> Null: &lt;span style="color:#66d9ef">break&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Actualiza |mejor| si hay una respuesta mejor.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> mejor.puntos &lt;span style="color:#f92672">&amp;lt;&lt;/span> s.puntos: mejor &lt;span style="color:#f92672">=&lt;/span> s
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Repetir estados es malo.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> s.hash() in estados&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_visitados: &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> estados&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_visitados.add(s.hash())
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Agrega todos los vecinos.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> s.siguiente(colas)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#960050;background-color:#1e0010">\#&lt;/span> A partir de este punto, &lt;span style="color:#f92672">|&lt;/span>mejor&lt;span style="color:#f92672">|&lt;/span> contiene la mejor solución. Podemos
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e"># saber qué movimiento se hizo para llegar a él comparando las
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e"># diferencias entre el tablero de |mejor.padre| y |mejor|. Ya solo es
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e"># cuestión de imprimir el resultado y listo.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> Aquí mucha gente se va a quejar porque solo guardar el hash abre la puerta a que haya dos estados que puede tener hasta &lt;span style="color:#ae81ff">900&lt;/span> bits que tengan el mismo hash de &lt;span style="color:#ae81ff">64&lt;/span> bits (por el [principio del palomar](http:&lt;span style="color:#75715e">//es.wikipedia.org/wiki/Principio_del_palomar)) y esté considerando que ya se visitó un estado que en realidad es nuevo. Si haces las cuentas, la probabilidad de colisión es negligible: la cantidad de estados que podía visitar en mi computadora (27 millones) es significativamente más pequeña que el número de estados necesarios para que la probabilidad de colisión sea de 1% ($latex \\approx 10^{135}$, por la [paradoja del cumpleaños](http://es.wikipedia.org/wiki/Paradoja_del_cumplea%C3%B1os)).
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl">&lt;span class="k">class&lt;/span> &lt;span class="nc">Estado&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">int&lt;/span> &lt;span class="n">puntos&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">bool&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">N&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">N&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="n">tablero&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Estado&lt;/span> &lt;span class="n">padre&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">null&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">def&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="n">_&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_init&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">Estado&lt;/span> &lt;span class="n">p&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">puntos&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">p&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">puntos&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">tablero&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">p&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tablero&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">padre&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">p&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">def&lt;/span> &lt;span class="n">hash&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Puedes usar cualquier algoritmo que genere un entero de 64 bits
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># a partir de tablero y puntos. Este es el más sencillo.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">hash&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">puntos&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">for&lt;/span> &lt;span class="n">i&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">hash&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="p">((&lt;/span>&lt;span class="n">hash&lt;/span> &lt;span class="o">&amp;lt;&amp;lt;&lt;/span> &lt;span class="mi">7&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="o">|&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">hash&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="mi">53&lt;/span>&lt;span class="p">))&lt;/span> &lt;span class="o">^&lt;/span> &lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="n">hash&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">def&lt;/span> &lt;span class="n">siguientes&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">queue&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">300&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Para todas las celdas (i, j) del tablero...
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">for&lt;/span> &lt;span class="n">i&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">for&lt;/span> &lt;span class="n">j&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Si la celda tiene una pieza...
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Para todos los vecinos contiguos (i+k, j+l)...
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">for&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="mi">2&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">for&lt;/span> &lt;span class="n">l&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="mi">2&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Asegúrate que se haya movido \_algo\_.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">0&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="n">l&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="o">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Y que pueda brincar dentro del tablero.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">l&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="mi">0&lt;/span> &lt;span class="n">or&lt;/span> &lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">l&lt;/span> &lt;span class="o">&amp;gt;=&lt;/span> &lt;span class="nl">N&lt;/span>&lt;span class="p">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Y que haya brincado una pieza.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">not&lt;/span> &lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">l&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="o">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Y que el lugar a donde brinca esté desocupado.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">l&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="o">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">hijo&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="k">new&lt;/span> &lt;span class="n">Estado&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="k">this&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Aumenta la puntuación del hijo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">puntos&lt;/span>&lt;span class="o">++&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Borra la ficha original y la &amp;#34;comida&amp;#34;.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">l&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="err">\&lt;/span>\
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">False&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Agrega la ficha en su posición final.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">l&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">True&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Agrégala a la cola correspondiente.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">puntos&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">push&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">hijo&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">def&lt;/span> &lt;span class="n">elige&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_estado&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Número aleatorio entre 0 y 1.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">r&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">random&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="o">/&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="kt">float&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="n">RAND&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_MAX&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># El índice de la última cola que estuvo llena.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">ultimolleno&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># La cola que se está considerando.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">x&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Elige la cola con mayores puntos que no esté vacía como
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># primera opción.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">for&lt;/span> &lt;span class="n">i&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span> &lt;span class="n">not&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">vacio&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">x&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">i&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># La primer cola tiene probabilidad de 31% de ser elegida.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># La segunda cola tiene probabilidad de 21%, la tercera 14%,
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># la cuarta 10% y así sucesivamente.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">while&lt;/span> &lt;span class="n">x&lt;/span> &lt;span class="o">&amp;gt;=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span> &lt;span class="n">not&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">x&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">vacio&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ultimolleno&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">x&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">x&lt;/span>&lt;span class="o">--&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">r&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*=&lt;/span> &lt;span class="mf">1.45&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span> &lt;span class="n">r&lt;/span> &lt;span class="o">&amp;gt;=&lt;/span> &lt;span class="mi">1&lt;/span> &lt;span class="n">and&lt;/span> &lt;span class="n">ultimolleno&lt;/span> &lt;span class="o">!=&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span> &lt;span class="k">break&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span> &lt;span class="n">ultimolleno&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="o">:&lt;/span> &lt;span class="k">return&lt;/span> &lt;span class="n">Null&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">lastfull&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">pop&lt;/span>&lt;span class="p">()&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">queue&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">300&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="n">colas&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">hashtable&lt;/span> &lt;span class="n">estados&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_visitados&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="err">\#&lt;/span> &lt;span class="n">lee&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">estado&lt;/span> &lt;span class="n">original&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">push&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">estado&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_original&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Estado&lt;/span> &lt;span class="n">mejor&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">estado&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_original&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="k">while&lt;/span> &lt;span class="n">no&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_se&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_haya&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_terminado&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_la&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_memoria&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Estado&lt;/span> &lt;span class="n">s&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">elige&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_estado&lt;/span>&lt;span class="p">()&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Si ya no hay más estados por visitar,
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># encontramos la respuesta óptima en algún punto.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">s&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="nl">Null&lt;/span>&lt;span class="p">:&lt;/span> &lt;span class="k">break&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Actualiza |mejor| si hay una respuesta mejor.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">mejor&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">puntos&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">s&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="nl">puntos&lt;/span>&lt;span class="p">:&lt;/span> &lt;span class="n">mejor&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">s&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Repetir estados es malo.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">s&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">hash&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">estados&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="nl">_visitados&lt;/span>&lt;span class="p">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">estados&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_visitados&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">add&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">s&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">hash&lt;/span>&lt;span class="p">())&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Agrega todos los vecinos.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">s&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">siguiente&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">colas&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="err">\#&lt;/span> &lt;span class="n">A&lt;/span> &lt;span class="n">partir&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">este&lt;/span> &lt;span class="n">punto&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">|&lt;/span>&lt;span class="n">mejor&lt;/span>&lt;span class="o">|&lt;/span> &lt;span class="n">contiene&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">mejor&lt;/span> &lt;span class="n">solución&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">Podemos&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp"># saber qué movimiento se hizo para llegar a él comparando las
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp"># diferencias entre el tablero de |mejor.padre| y |mejor|. Ya solo es
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp"># cuestión de imprimir el resultado y listo.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">Aquí&lt;/span> &lt;span class="n">mucha&lt;/span> &lt;span class="n">gente&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">va&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="n">quejar&lt;/span> &lt;span class="n">porque&lt;/span> &lt;span class="n">solo&lt;/span> &lt;span class="n">guardar&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">hash&lt;/span> &lt;span class="n">abre&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">puerta&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">haya&lt;/span> &lt;span class="n">dos&lt;/span> &lt;span class="n">estados&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">puede&lt;/span> &lt;span class="n">tener&lt;/span> &lt;span class="n">hasta&lt;/span> &lt;span class="mi">900&lt;/span> &lt;span class="n">bits&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">tengan&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">mismo&lt;/span> &lt;span class="n">hash&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="mi">64&lt;/span> &lt;span class="n">bits&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">por&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="p">[&lt;/span>&lt;span class="n">principio&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">palomar&lt;/span>&lt;span class="p">](&lt;/span>&lt;span class="nl">http&lt;/span>&lt;span class="p">:&lt;/span>&lt;span class="c1">//es.wikipedia.org/wiki/Principio_del_palomar)) y esté considerando que ya se visitó un estado que en realidad es nuevo. Si haces las cuentas, la probabilidad de colisión es negligible: la cantidad de estados que podía visitar en mi computadora (27 millones) es significativamente más pequeña que el número de estados necesarios para que la probabilidad de colisión sea de 1% ($latex \\approx 10^{135}$, por la [paradoja del cumpleaños](http://es.wikipedia.org/wiki/Paradoja_del_cumplea%C3%B1os)).
 &lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
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diff --git a/tags/freddy/index.html b/tags/freddy/index.html
index d994ad8..4b70e2e 100644
--- a/tags/freddy/index.html
+++ b/tags/freddy/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/general/index.html b/tags/general/index.html
index f797b80..e93ecd1 100644
--- a/tags/general/index.html
+++ b/tags/general/index.html
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diff --git "a/tags/geometr\303\255a/index.html" "b/tags/geometr\303\255a/index.html"
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--- "a/tags/geometr\303\255a/index.html"
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@@ -1,6 +1,10 @@
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diff --git "a/tags/germ\303\241n/index.html" "b/tags/germ\303\241n/index.html"
index 6f7cda4..16dce4f 100644
--- "a/tags/germ\303\241n/index.html"
+++ "b/tags/germ\303\241n/index.html"
@@ -1,6 +1,10 @@
 <!doctype html><html lang=es><head><meta charset=utf-8><meta name=viewport content="width=device-width,initial-scale=1"><meta name=robots content="index, follow"><link rel="icon shortcut" href=/favicon.ico sizes=32x32><link rel=icon href=/favicon.svg type=image/svg+xml><link rel=icon href=/favicon-dark.svg type=image/svg+xml media="(prefers-color-scheme: dark)"><link rel=icon href=/favicon-16x16.png type=image/png sizes=16x16><link rel=icon href=/favicon-32x32.png type=image/png sizes=32x32><link rel=apple-touch-icon href=/apple-touch-icon.png sizes=180x180><link fetchpriority=low href=/site.webmanifest rel=manifest><title>Germán – omegaUp blog</title>
 <meta name=description content><link rel=canonical href=https://blog.omegaup.com/tags/germ%C3%A1n/ itemprop=url><meta property="og:title" content="Germán"><meta property="og:description" content><meta property="og:type" content="website"><meta property="og:url" content="https://blog.omegaup.com/tags/germ%C3%A1n/"><meta itemprop=name content="Germán"><meta itemprop=datePublished content="2014-01-23T03:41:06+00:00"><meta itemprop=dateModified content="2014-01-23T03:41:06+00:00"><meta name=twitter:card content="summary"><meta name=twitter:title content="Germán"><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/tags/grafos/index.html b/tags/grafos/index.html
index eaaebac..f37adde 100644
--- a/tags/grafos/index.html
+++ b/tags/grafos/index.html
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diff --git a/tags/header/index.html b/tags/header/index.html
index 054ee1d..e14261a 100644
--- a/tags/header/index.html
+++ b/tags/header/index.html
@@ -1,6 +1,10 @@
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diff --git "a/tags/hugo-due\303\261as/index.html" "b/tags/hugo-due\303\261as/index.html"
index 4252022..f2bf682 100644
--- "a/tags/hugo-due\303\261as/index.html"
+++ "b/tags/hugo-due\303\261as/index.html"
@@ -1,6 +1,10 @@
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diff --git a/tags/image/index.html b/tags/image/index.html
index 3777145..939dede 100644
--- a/tags/image/index.html
+++ b/tags/image/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/index.html b/tags/index.html
index 998a33d..17522de 100644
--- a/tags/index.html
+++ b/tags/index.html
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diff --git a/tags/insignias/index.html b/tags/insignias/index.html
index 63ef18e..69d28a1 100644
--- a/tags/insignias/index.html
+++ b/tags/insignias/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/internals/index.html b/tags/internals/index.html
index ce223a3..4e2b34f 100644
--- a/tags/internals/index.html
+++ b/tags/internals/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/internals/index.xml b/tags/internals/index.xml
index 6bd7eb4..15b1ef5 100644
--- a/tags/internals/index.xml
+++ b/tags/internals/index.xml
@@ -52,7 +52,7 @@
 &lt;a href="#referencias" class="subheading-anchor" aria-label="Permalink for this section">&lt;/a>&lt;/h2>&lt;ol>
 &lt;li>
 &lt;p>Reporte NetMarketShare, Enero 2014:&lt;/p>
-&lt;!-- raw HTML omitted -->
+&lt;iframe id="na635245505602870000" src="" frameborder="0" marginwidth="0" marginheight="0" scrolling="no" width="600" height="570">&lt;/iframe>
 &lt;/li>
 &lt;li>
 &lt;p>&lt;a href="http://www.igvita.com/2013/12/16/optimizing-nginx-tls-time-to-first-byte/" target="_blank" rel="noopener">Optimizing NGINX TLS Time To First Byte (TTFB)&lt;/a> - igvita.com&lt;/p>
diff --git "a/tags/introducci\303\263n-a-omegaup/index.html" "b/tags/introducci\303\263n-a-omegaup/index.html"
index 2abf30f..bebcf3b 100644
--- "a/tags/introducci\303\263n-a-omegaup/index.html"
+++ "b/tags/introducci\303\263n-a-omegaup/index.html"
@@ -1,6 +1,10 @@
 <!doctype html><html lang=es><head><meta charset=utf-8><meta name=viewport content="width=device-width,initial-scale=1"><meta name=robots content="index, follow"><link rel="icon shortcut" href=/favicon.ico sizes=32x32><link rel=icon href=/favicon.svg type=image/svg+xml><link rel=icon href=/favicon-dark.svg type=image/svg+xml media="(prefers-color-scheme: dark)"><link rel=icon href=/favicon-16x16.png type=image/png sizes=16x16><link rel=icon href=/favicon-32x32.png type=image/png sizes=32x32><link rel=apple-touch-icon href=/apple-touch-icon.png sizes=180x180><link fetchpriority=low href=/site.webmanifest rel=manifest><title>Introducción a OmegaUp – omegaUp blog</title>
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diff --git a/tags/jorge/index.html b/tags/jorge/index.html
index c017109..55241cc 100644
--- a/tags/jorge/index.html
+++ b/tags/jorge/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/jorge/index.xml b/tags/jorge/index.xml
index d37fbd4..d2bba17 100644
--- a/tags/jorge/index.xml
+++ b/tags/jorge/index.xml
@@ -5,15 +5,15 @@
 &lt;p>La solución a este problema consistía en programar el método descrito. Este método inherentemente está basado en la técnica de divide y vencerás.&lt;/p>
 &lt;p>A continuación, un pseudo-código que muestra la forma de llevar a cabo la transformación de un mapa de bits bidimensional a la forma reducida:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si todos los elementos en mapaDeBits son iguales
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Imprime el valor y termina
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si no
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Imprime D
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits.superiorIzquierdo)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits.superiorDerecho)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits.inferiorIzquierdo)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits.inferiorDerecho)
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">todos&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">elementos&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">mapaDeBits&lt;/span> &lt;span class="n">son&lt;/span> &lt;span class="n">iguales&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Imprime&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">valor&lt;/span> &lt;span class="n">y&lt;/span> &lt;span class="n">termina&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">no&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Imprime&lt;/span> &lt;span class="n">D&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">superiorIzquierdo&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">superiorDerecho&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">inferiorIzquierdo&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">inferiorDerecho&lt;/span>&lt;span class="p">)&lt;/span>
 &lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
@@ -26,14 +26,14 @@ title="Copiar código"
 &lt;/div>
 &lt;p>El método para hacer la transformación inversa es muy parecido, sólo que para imprimir la equivalencia hay que comenzar con un mapa de bits bidimensional que nos sirva de variable auxiliar para hacer la conversión. Esta variable auxiliar se puede declarar de manera global y, cuando el método recursivo termine, simplemente imprimir su contenido:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits, sección)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si mapaDeBits comienza con un valor
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Rellenar sección del mapa bidimensional con el valor
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si no
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.superiorIzquierda)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.superiorDerecha)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.inferiorIzquierda)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.inferiorDerecha)
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">mapaDeBits&lt;/span> &lt;span class="n">comienza&lt;/span> &lt;span class="n">con&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="n">valor&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Rellenar&lt;/span> &lt;span class="n">sección&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">mapa&lt;/span> &lt;span class="n">bidimensional&lt;/span> &lt;span class="n">con&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">valor&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">no&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">removerPrimerElemento&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">superiorIzquierda&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">removerPrimerElemento&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">superiorDerecha&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">removerPrimerElemento&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">inferiorIzquierda&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">removerPrimerElemento&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">inferiorDerecha&lt;/span>&lt;span class="p">)&lt;/span>
 &lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
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diff --git a/tags/karel/index.html b/tags/karel/index.html
index d47b3e6..3b403aa 100644
--- a/tags/karel/index.html
+++ b/tags/karel/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/khayyam/index.html b/tags/khayyam/index.html
index c19b520..9bf6943 100644
--- a/tags/khayyam/index.html
+++ b/tags/khayyam/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/lhchavez/index.html b/tags/lhchavez/index.html
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diff --git a/tags/lhchavez/index.xml b/tags/lhchavez/index.xml
index dc40bb4..1e16493 100644
--- a/tags/lhchavez/index.xml
+++ b/tags/lhchavez/index.xml
@@ -18,102 +18,102 @@
 &lt;p>La estrategia que yo personalmente seguí fue que cada que encontraba un nuevo estado, obtenía su &lt;a href="http://es.wikipedia.org/wiki/Funci%C3%B3n_hash" target="_blank" rel="noopener">hash&lt;/a> (que resultaba en un entero de 64 bits) y verificaba si no lo había visitado usando una tabla de hash&lt;a href="#note" >*&lt;/a>. Si no la había visitado, encontraba todos los estados vecinos (todos los tableros que resultaban de hacer un movimiento válido) y los guardaba en una fila de acuerdo a la cantidad de puntos (entre más puntos, más adelante en la fila). Luego, elegía aleatoriamente un estado de la fila dándole prioridad a los que estaban más adelante (pues son los que tienen mayor probabilidad de llegar a una buena solución), lo cual también me evitaba seguir un único camino donde me podría atorar. Repetí eso hasta que se me terminó la memoria de la computadora e imprimí la mejor solución.&lt;/p>
 &lt;p>A continuación, el pseudocódigo de la solución:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">class&lt;/span> &lt;span style="color:#a6e22e">Estado&lt;/span>&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">int&lt;/span> puntos &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">bool&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[N&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[N&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] tablero
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Estado padre &lt;span style="color:#f92672">=&lt;/span> null
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> def &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_init&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_(Estado p)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> puntos &lt;span style="color:#f92672">=&lt;/span> p.puntos
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> tablero &lt;span style="color:#f92672">=&lt;/span> p.tablero
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> padre &lt;span style="color:#f92672">=&lt;/span> p
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> def hash()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Puedes usar cualquier algoritmo que genere un entero de 64 bits
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># a partir de tablero y puntos. Este es el más sencillo.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> hash &lt;span style="color:#f92672">=&lt;/span> puntos
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">for&lt;/span> i in range(&lt;span style="color:#ae81ff">0&lt;/span>, N)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> hash &lt;span style="color:#f92672">=&lt;/span> ((hash &lt;span style="color:#f92672">&amp;lt;&amp;lt;&lt;/span> &lt;span style="color:#ae81ff">7&lt;/span>) &lt;span style="color:#f92672">|&lt;/span> (hash &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> &lt;span style="color:#ae81ff">53&lt;/span>)) &lt;span style="color:#f92672">^&lt;/span> tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> hash
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> def siguientes(queue&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#ae81ff">300&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] colas)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Para todas las celdas (i, j) del tablero...
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span> i in range(&lt;span style="color:#ae81ff">0&lt;/span>, N)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">for&lt;/span> j in range(&lt;span style="color:#ae81ff">0&lt;/span>, N)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Si la celda tiene una pieza...
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Para todos los vecinos contiguos (i+k, j+l)...
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span> k in range(&lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>, &lt;span style="color:#ae81ff">2&lt;/span>)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">for&lt;/span> l in range(&lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>, &lt;span style="color:#ae81ff">2&lt;/span>)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Asegúrate que se haya movido \_algo\_.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> k &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span> &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> l &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>&lt;span style="color:#f92672">:&lt;/span> &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Y que pueda brincar dentro del tablero.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> j &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> l &lt;span style="color:#f92672">&amp;lt;&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span> or j &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> l &lt;span style="color:#f92672">&amp;gt;=&lt;/span> N: &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Y que haya brincado una pieza.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> not tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i &lt;span style="color:#f92672">+&lt;/span> k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j &lt;span style="color:#f92672">+&lt;/span> l&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#f92672">:&lt;/span> &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Y que el lugar a donde brinca esté desocupado.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> l&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#f92672">:&lt;/span> &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> hijo &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#66d9ef">new&lt;/span> Estado(&lt;span style="color:#66d9ef">this&lt;/span>)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Aumenta la puntuación del hijo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> hijo.puntos&lt;span style="color:#f92672">++&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Borra la ficha original y la &amp;#34;comida&amp;#34;.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> hijo.tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> hijo.tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i &lt;span style="color:#f92672">+&lt;/span> k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j &lt;span style="color:#f92672">+&lt;/span> l&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>\
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> False
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Agrega la ficha en su posición final.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> hijo.tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> l&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> True
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Agrégala a la cola correspondiente.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[hijo.puntos&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].push(hijo)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>def elige&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_estado()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Número aleatorio entre 0 y 1.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> r &lt;span style="color:#f92672">=&lt;/span> (random() &lt;span style="color:#f92672">/&lt;/span> (&lt;span style="color:#66d9ef">float&lt;/span>)RAND&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_MAX)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># El índice de la última cola que estuvo llena.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> ultimolleno &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># La cola que se está considerando.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> x &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Elige la cola con mayores puntos que no esté vacía como
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># primera opción.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span> i in range(&lt;span style="color:#ae81ff">0&lt;/span>, N)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span> not colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].vacio()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> x &lt;span style="color:#f92672">=&lt;/span> i
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># La primer cola tiene probabilidad de 31% de ser elegida.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># La segunda cola tiene probabilidad de 21%, la tercera 14%,
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># la cuarta 10% y así sucesivamente.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">while&lt;/span> x &lt;span style="color:#f92672">&amp;gt;=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span> not colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[x&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].vacio()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ultimolleno &lt;span style="color:#f92672">=&lt;/span> x
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> x&lt;span style="color:#f92672">--&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> r &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*=&lt;/span> &lt;span style="color:#ae81ff">1.45&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span> r &lt;span style="color:#f92672">&amp;gt;=&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span> and ultimolleno &lt;span style="color:#f92672">!=&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span> &lt;span style="color:#66d9ef">break&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span> ultimolleno &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>&lt;span style="color:#f92672">:&lt;/span> &lt;span style="color:#66d9ef">return&lt;/span> Null
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[lastfull&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].pop()
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>queue&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#ae81ff">300&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] colas
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>hashtable estados&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_visitados
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#960050;background-color:#1e0010">\#&lt;/span> lee el estado original
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#ae81ff">0&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].push(estado&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_original)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Estado mejor &lt;span style="color:#f92672">=&lt;/span> estado&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_original
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">while&lt;/span> no&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_se&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_haya&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_terminado&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_la&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_memoria()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Estado s &lt;span style="color:#f92672">=&lt;/span> elige&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_estado()
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Si ya no hay más estados por visitar,
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># encontramos la respuesta óptima en algún punto.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> s &lt;span style="color:#f92672">==&lt;/span> Null: &lt;span style="color:#66d9ef">break&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Actualiza |mejor| si hay una respuesta mejor.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> mejor.puntos &lt;span style="color:#f92672">&amp;lt;&lt;/span> s.puntos: mejor &lt;span style="color:#f92672">=&lt;/span> s
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Repetir estados es malo.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> s.hash() in estados&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_visitados: &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> estados&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_visitados.add(s.hash())
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Agrega todos los vecinos.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> s.siguiente(colas)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#960050;background-color:#1e0010">\#&lt;/span> A partir de este punto, &lt;span style="color:#f92672">|&lt;/span>mejor&lt;span style="color:#f92672">|&lt;/span> contiene la mejor solución. Podemos
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e"># saber qué movimiento se hizo para llegar a él comparando las
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e"># diferencias entre el tablero de |mejor.padre| y |mejor|. Ya solo es
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e"># cuestión de imprimir el resultado y listo.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> Aquí mucha gente se va a quejar porque solo guardar el hash abre la puerta a que haya dos estados que puede tener hasta &lt;span style="color:#ae81ff">900&lt;/span> bits que tengan el mismo hash de &lt;span style="color:#ae81ff">64&lt;/span> bits (por el [principio del palomar](http:&lt;span style="color:#75715e">//es.wikipedia.org/wiki/Principio_del_palomar)) y esté considerando que ya se visitó un estado que en realidad es nuevo. Si haces las cuentas, la probabilidad de colisión es negligible: la cantidad de estados que podía visitar en mi computadora (27 millones) es significativamente más pequeña que el número de estados necesarios para que la probabilidad de colisión sea de 1% ($latex \\approx 10^{135}$, por la [paradoja del cumpleaños](http://es.wikipedia.org/wiki/Paradoja_del_cumplea%C3%B1os)).
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl">&lt;span class="k">class&lt;/span> &lt;span class="nc">Estado&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">int&lt;/span> &lt;span class="n">puntos&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">bool&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">N&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">N&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="n">tablero&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Estado&lt;/span> &lt;span class="n">padre&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">null&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">def&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="n">_&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_init&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">Estado&lt;/span> &lt;span class="n">p&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">puntos&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">p&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">puntos&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">tablero&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">p&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tablero&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">padre&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">p&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">def&lt;/span> &lt;span class="n">hash&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Puedes usar cualquier algoritmo que genere un entero de 64 bits
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># a partir de tablero y puntos. Este es el más sencillo.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">hash&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">puntos&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">for&lt;/span> &lt;span class="n">i&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">hash&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="p">((&lt;/span>&lt;span class="n">hash&lt;/span> &lt;span class="o">&amp;lt;&amp;lt;&lt;/span> &lt;span class="mi">7&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="o">|&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">hash&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="mi">53&lt;/span>&lt;span class="p">))&lt;/span> &lt;span class="o">^&lt;/span> &lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="n">hash&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">def&lt;/span> &lt;span class="n">siguientes&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">queue&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">300&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Para todas las celdas (i, j) del tablero...
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">for&lt;/span> &lt;span class="n">i&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">for&lt;/span> &lt;span class="n">j&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Si la celda tiene una pieza...
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Para todos los vecinos contiguos (i+k, j+l)...
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">for&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="mi">2&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">for&lt;/span> &lt;span class="n">l&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="mi">2&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Asegúrate que se haya movido \_algo\_.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">0&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="n">l&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="o">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Y que pueda brincar dentro del tablero.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">l&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="mi">0&lt;/span> &lt;span class="n">or&lt;/span> &lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">l&lt;/span> &lt;span class="o">&amp;gt;=&lt;/span> &lt;span class="nl">N&lt;/span>&lt;span class="p">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Y que haya brincado una pieza.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">not&lt;/span> &lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">l&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="o">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Y que el lugar a donde brinca esté desocupado.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">l&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="o">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">hijo&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="k">new&lt;/span> &lt;span class="n">Estado&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="k">this&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Aumenta la puntuación del hijo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">puntos&lt;/span>&lt;span class="o">++&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Borra la ficha original y la &amp;#34;comida&amp;#34;.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">l&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="err">\&lt;/span>\
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">False&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Agrega la ficha en su posición final.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">l&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">True&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Agrégala a la cola correspondiente.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">puntos&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">push&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">hijo&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">def&lt;/span> &lt;span class="n">elige&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_estado&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Número aleatorio entre 0 y 1.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">r&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">random&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="o">/&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="kt">float&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="n">RAND&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_MAX&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># El índice de la última cola que estuvo llena.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">ultimolleno&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># La cola que se está considerando.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">x&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Elige la cola con mayores puntos que no esté vacía como
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># primera opción.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">for&lt;/span> &lt;span class="n">i&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span> &lt;span class="n">not&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">vacio&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">x&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">i&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># La primer cola tiene probabilidad de 31% de ser elegida.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># La segunda cola tiene probabilidad de 21%, la tercera 14%,
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># la cuarta 10% y así sucesivamente.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">while&lt;/span> &lt;span class="n">x&lt;/span> &lt;span class="o">&amp;gt;=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span> &lt;span class="n">not&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">x&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">vacio&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ultimolleno&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">x&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">x&lt;/span>&lt;span class="o">--&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">r&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*=&lt;/span> &lt;span class="mf">1.45&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span> &lt;span class="n">r&lt;/span> &lt;span class="o">&amp;gt;=&lt;/span> &lt;span class="mi">1&lt;/span> &lt;span class="n">and&lt;/span> &lt;span class="n">ultimolleno&lt;/span> &lt;span class="o">!=&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span> &lt;span class="k">break&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span> &lt;span class="n">ultimolleno&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="o">:&lt;/span> &lt;span class="k">return&lt;/span> &lt;span class="n">Null&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">lastfull&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">pop&lt;/span>&lt;span class="p">()&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">queue&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">300&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="n">colas&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">hashtable&lt;/span> &lt;span class="n">estados&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_visitados&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="err">\#&lt;/span> &lt;span class="n">lee&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">estado&lt;/span> &lt;span class="n">original&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">push&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">estado&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_original&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Estado&lt;/span> &lt;span class="n">mejor&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">estado&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_original&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="k">while&lt;/span> &lt;span class="n">no&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_se&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_haya&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_terminado&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_la&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_memoria&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Estado&lt;/span> &lt;span class="n">s&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">elige&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_estado&lt;/span>&lt;span class="p">()&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Si ya no hay más estados por visitar,
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># encontramos la respuesta óptima en algún punto.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">s&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="nl">Null&lt;/span>&lt;span class="p">:&lt;/span> &lt;span class="k">break&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Actualiza |mejor| si hay una respuesta mejor.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">mejor&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">puntos&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">s&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="nl">puntos&lt;/span>&lt;span class="p">:&lt;/span> &lt;span class="n">mejor&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">s&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Repetir estados es malo.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">s&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">hash&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">estados&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="nl">_visitados&lt;/span>&lt;span class="p">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">estados&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_visitados&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">add&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">s&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">hash&lt;/span>&lt;span class="p">())&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Agrega todos los vecinos.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">s&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">siguiente&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">colas&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="err">\#&lt;/span> &lt;span class="n">A&lt;/span> &lt;span class="n">partir&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">este&lt;/span> &lt;span class="n">punto&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">|&lt;/span>&lt;span class="n">mejor&lt;/span>&lt;span class="o">|&lt;/span> &lt;span class="n">contiene&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">mejor&lt;/span> &lt;span class="n">solución&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">Podemos&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp"># saber qué movimiento se hizo para llegar a él comparando las
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp"># diferencias entre el tablero de |mejor.padre| y |mejor|. Ya solo es
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp"># cuestión de imprimir el resultado y listo.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">Aquí&lt;/span> &lt;span class="n">mucha&lt;/span> &lt;span class="n">gente&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">va&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="n">quejar&lt;/span> &lt;span class="n">porque&lt;/span> &lt;span class="n">solo&lt;/span> &lt;span class="n">guardar&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">hash&lt;/span> &lt;span class="n">abre&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">puerta&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">haya&lt;/span> &lt;span class="n">dos&lt;/span> &lt;span class="n">estados&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">puede&lt;/span> &lt;span class="n">tener&lt;/span> &lt;span class="n">hasta&lt;/span> &lt;span class="mi">900&lt;/span> &lt;span class="n">bits&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">tengan&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">mismo&lt;/span> &lt;span class="n">hash&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="mi">64&lt;/span> &lt;span class="n">bits&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">por&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="p">[&lt;/span>&lt;span class="n">principio&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">palomar&lt;/span>&lt;span class="p">](&lt;/span>&lt;span class="nl">http&lt;/span>&lt;span class="p">:&lt;/span>&lt;span class="c1">//es.wikipedia.org/wiki/Principio_del_palomar)) y esté considerando que ya se visitó un estado que en realidad es nuevo. Si haces las cuentas, la probabilidad de colisión es negligible: la cantidad de estados que podía visitar en mi computadora (27 millones) es significativamente más pequeña que el número de estados necesarios para que la probabilidad de colisión sea de 1% ($latex \\approx 10^{135}$, por la [paradoja del cumpleaños](http://es.wikipedia.org/wiki/Paradoja_del_cumplea%C3%B1os)).
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diff --git a/tags/librerias/index.html b/tags/librerias/index.html
index 3ae784a..8b16867 100644
--- a/tags/librerias/index.html
+++ b/tags/librerias/index.html
@@ -1,6 +1,10 @@
 <!doctype html><html lang=es><head><meta charset=utf-8><meta name=viewport content="width=device-width,initial-scale=1"><meta name=robots content="index, follow"><link rel="icon shortcut" href=/favicon.ico sizes=32x32><link rel=icon href=/favicon.svg type=image/svg+xml><link rel=icon href=/favicon-dark.svg type=image/svg+xml media="(prefers-color-scheme: dark)"><link rel=icon href=/favicon-16x16.png type=image/png sizes=16x16><link rel=icon href=/favicon-32x32.png type=image/png sizes=32x32><link rel=apple-touch-icon href=/apple-touch-icon.png sizes=180x180><link fetchpriority=low href=/site.webmanifest rel=manifest><title>Librerias – omegaUp blog</title>
 <meta name=description content><link rel=canonical href=https://blog.omegaup.com/tags/librerias/ itemprop=url><meta property="og:title" content="Librerias"><meta property="og:description" content><meta property="og:type" content="website"><meta property="og:url" content="https://blog.omegaup.com/tags/librerias/"><meta itemprop=name content="Librerias"><meta itemprop=datePublished content="2014-07-07T05:37:40+00:00"><meta itemprop=dateModified content="2014-07-07T05:37:40+00:00"><meta name=twitter:card content="summary"><meta name=twitter:title content="Librerias"><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/tags/librerias/index.xml b/tags/librerias/index.xml
index 26558aa..d8ee8e1 100644
--- a/tags/librerias/index.xml
+++ b/tags/librerias/index.xml
@@ -10,8 +10,8 @@
 &lt;p>Resulta que cin/cout son muy buenos amigos de scanf/printf. Como son tan buenos amigos, al realizar la lectura y salida no querían alejarse demasiado, por lo que cin/cout tenía que sincronizarse para estar siempre a la par de scanf/printf.&lt;/p>
 &lt;p>Para no hacer el cuento largo, hay una forma de desactivar la opción de sincronización entre cin/cout y scanf/printf, solo es necesario incluir al inicio del main:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-c++" data-lang="c++">&lt;span style="display:flex;">&lt;span>std&lt;span style="color:#f92672">::&lt;/span>cin.tie(&lt;span style="color:#66d9ef">nullptr&lt;/span>);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>std&lt;span style="color:#f92672">::&lt;/span>ios_base&lt;span style="color:#f92672">::&lt;/span>sync_with_stdio(false);&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-c++" data-lang="c++">&lt;span class="line">&lt;span class="cl">&lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cin&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tie&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="k">nullptr&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">ios_base&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">sync_with_stdio&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="nb">false&lt;/span>&lt;span class="p">);&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
@@ -30,16 +30,16 @@ title="Copiar código"
 &lt;p>Aunque el objetivo original no es ganar unas cuantas centésimas de segundo en eficiencia, sino dar la oportunidad a aquellos olímpicos que no manejan scanf/printf para seguir usando cin/cout sin enfrentarse a más complicaciones.&lt;/p>
 &lt;p>Finalmente les dejó un ejemplo de cómo usar todo lo anterior en un código de C++. Espero que algo de esto les pueda ayudar en el futuro. Les deseo lo mejor :)&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-c++" data-lang="c++">&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#include&lt;/span> &lt;span style="color:#75715e">&amp;lt;bits/stdc++.h&amp;gt;&lt;/span>&lt;span style="color:#75715e">
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#define optimizar_io do { std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); } while(false)`
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">int&lt;/span> &lt;span style="color:#a6e22e">main&lt;/span>(){
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> optimizar_io;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">int&lt;/span> a, b;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> std&lt;span style="color:#f92672">::&lt;/span>cin &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> a &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> b;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> std&lt;span style="color:#f92672">::&lt;/span>cout &lt;span style="color:#f92672">&amp;lt;&amp;lt;&lt;/span> a &lt;span style="color:#f92672">+&lt;/span> b &lt;span style="color:#f92672">&amp;lt;&amp;lt;&lt;/span> &lt;span style="color:#e6db74">&amp;#34;&lt;/span>&lt;span style="color:#ae81ff">\n&lt;/span>&lt;span style="color:#e6db74">&amp;#34;&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>}&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-c++" data-lang="c++">&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#include&lt;/span> &lt;span class="cpf">&amp;lt;bits/stdc++.h&amp;gt;&lt;/span>&lt;span class="cp">
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#define optimizar_io do { std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); } while(false)`
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="kt">int&lt;/span> &lt;span class="nf">main&lt;/span>&lt;span class="p">(){&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">optimizar_io&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">int&lt;/span> &lt;span class="n">a&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">b&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cin&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="n">b&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cout&lt;/span> &lt;span class="o">&amp;lt;&amp;lt;&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">b&lt;/span> &lt;span class="o">&amp;lt;&amp;lt;&lt;/span> &lt;span class="s">&amp;#34;&lt;/span>&lt;span class="se">\n&lt;/span>&lt;span class="s">&amp;#34;&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="p">}&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
diff --git a/tags/liga-omegaup/index.html b/tags/liga-omegaup/index.html
index aa68227..2639187 100644
--- a/tags/liga-omegaup/index.html
+++ b/tags/liga-omegaup/index.html
@@ -1,6 +1,10 @@
 <!doctype html><html lang=es><head><meta charset=utf-8><meta name=viewport content="width=device-width,initial-scale=1"><meta name=robots content="index, follow"><link rel="icon shortcut" href=/favicon.ico sizes=32x32><link rel=icon href=/favicon.svg type=image/svg+xml><link rel=icon href=/favicon-dark.svg type=image/svg+xml media="(prefers-color-scheme: dark)"><link rel=icon href=/favicon-16x16.png type=image/png sizes=16x16><link rel=icon href=/favicon-32x32.png type=image/png sizes=32x32><link rel=apple-touch-icon href=/apple-touch-icon.png sizes=180x180><link fetchpriority=low href=/site.webmanifest rel=manifest><title>Liga Omegaup – omegaUp blog</title>
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diff --git a/tags/macs/index.html b/tags/macs/index.html
index 76f54a5..9ba8da4 100644
--- a/tags/macs/index.html
+++ b/tags/macs/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/macs/index.xml b/tags/macs/index.xml
index 8e18829..6961157 100644
--- a/tags/macs/index.xml
+++ b/tags/macs/index.xml
@@ -4,11 +4,11 @@
 &lt;p>$latex \mathrm{dp}_r=\mathrm{interesante}(r)\ \mathrm{si}\ \Sigma_h\mathrm{dp}_h=0$ $latex \mathrm{dp}_r = \Sigma_h\mathrm{dp}_h+1\ \mathrm{si}\ \Sigma_c\mathrm{dp}_h&amp;gt;0$&lt;/p>
 &lt;p>$latex h$ es un hijo de $latex r$. La arista extra $latex (u,v)$ en el ciclo $latex c$ permite usar otros caminos a lo largo de $latex c$. Tales caminos deben conectar todos los nodos en $latex c$ que tengan nodos interesantes en su árbol después de quitar las aristas del ciclo $latex E-c$. Etiquetemos tales nodos con un uno y los demás nodos del $latex c$ con un cero. Para $latex E-(u,v)$ el ciclo sólo no cubre los últimos ceros. Para encontrar la solución sólo basta encontrar la secuencia de ceros más grande. En el siguiente diagrama, la arista que falta es $latex (u,v)$. La DP sólo no usa el último cero, pero es mejor no usar los dos ceros que están adyacentes.&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">0&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#f92672">/&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>\
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">1&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#960050;background-color:#1e0010">\\&lt;/span> &lt;span style="color:#f92672">/&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">1&lt;/span>&lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">0&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">0&lt;/span> &lt;span class="mi">1&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="o">/&lt;/span> &lt;span class="err">\&lt;/span>\
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">1&lt;/span> &lt;span class="mi">0&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="err">\\&lt;/span> &lt;span class="o">/&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">1&lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="mi">0&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
@@ -28,16 +28,16 @@ title="Copiar código"
 &lt;p>&lt;strong>Concurso:&lt;/strong> &lt;a href="https://omegaup.com/arena/problem/ubongo-3d" target="_blank" rel="noopener">Preselectivo para la IOI 2014, Etapa 1, Problemset 8&lt;/a> &lt;strong>Autor:&lt;/strong> Miguel Covarrubias &lt;strong>Fuente:&lt;/strong> Miguel Covarrubias&lt;/p>
 &lt;p>La solución pone piezas de manera recursiva mientras quepan en el tablero y no se empalmen.&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span>resuelve(pieza)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> si pieza &lt;span style="color:#f92672">&amp;gt;&lt;/span> P
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> regresa &lt;span style="color:#960050;background-color:#1e0010">“&lt;/span>Si&lt;span style="color:#960050;background-color:#1e0010">”&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> para cada rotación de la pieza
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> para cada casilla g del tablero
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> para cada cubo c de la pieza
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> si al poner c sobre g, la pieza queda dentro de los primeros &lt;span style="color:#ae81ff">2&lt;/span> niveles del tablero y no se empalma con otra pieza ya puesta entonces
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> marca las posiciones de los cubos de la pieza como ocupados
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> resuelve(pieza &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> desmarca los cubos de la pieza&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl">&lt;span class="n">resuelve&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">pieza&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">si&lt;/span> &lt;span class="n">pieza&lt;/span> &lt;span class="o">&amp;gt;&lt;/span> &lt;span class="n">P&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">regresa&lt;/span> &lt;span class="err">“&lt;/span>&lt;span class="n">Si&lt;/span>&lt;span class="err">”&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">para&lt;/span> &lt;span class="n">cada&lt;/span> &lt;span class="n">rotación&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">pieza&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">para&lt;/span> &lt;span class="n">cada&lt;/span> &lt;span class="n">casilla&lt;/span> &lt;span class="n">g&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">tablero&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">para&lt;/span> &lt;span class="n">cada&lt;/span> &lt;span class="n">cubo&lt;/span> &lt;span class="n">c&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">pieza&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">si&lt;/span> &lt;span class="n">al&lt;/span> &lt;span class="n">poner&lt;/span> &lt;span class="n">c&lt;/span> &lt;span class="n">sobre&lt;/span> &lt;span class="n">g&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">pieza&lt;/span> &lt;span class="n">queda&lt;/span> &lt;span class="n">dentro&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">primeros&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="n">niveles&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">tablero&lt;/span> &lt;span class="n">y&lt;/span> &lt;span class="n">no&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">empalma&lt;/span> &lt;span class="n">con&lt;/span> &lt;span class="n">otra&lt;/span> &lt;span class="n">pieza&lt;/span> &lt;span class="n">ya&lt;/span> &lt;span class="n">puesta&lt;/span> &lt;span class="n">entonces&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">marca&lt;/span> &lt;span class="n">las&lt;/span> &lt;span class="n">posiciones&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">cubos&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">pieza&lt;/span> &lt;span class="n">como&lt;/span> &lt;span class="n">ocupados&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">resuelve&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">pieza&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">1&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">desmarca&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">cubos&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">pieza&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
diff --git a/tags/manhattan/index.html b/tags/manhattan/index.html
index 7bcb67b..1bb04f9 100644
--- a/tags/manhattan/index.html
+++ b/tags/manhattan/index.html
@@ -1,6 +1,10 @@
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diff --git "a/tags/matem\303\241ticas/index.html" "b/tags/matem\303\241ticas/index.html"
index 9d5be60..fa4b2fa 100644
--- "a/tags/matem\303\241ticas/index.html"
+++ "b/tags/matem\303\241ticas/index.html"
@@ -1,6 +1,10 @@
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diff --git a/tags/material-de-estudio/index.html b/tags/material-de-estudio/index.html
index 5f12b3f..6c80770 100644
--- a/tags/material-de-estudio/index.html
+++ b/tags/material-de-estudio/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/material-de-estudio/index.xml b/tags/material-de-estudio/index.xml
index 2aae2d8..b03ddbd 100644
--- a/tags/material-de-estudio/index.xml
+++ b/tags/material-de-estudio/index.xml
@@ -2,48 +2,48 @@
 &lt;p>Gracias @Rodrigo-RCC por este aporte!&lt;/p>
 &lt;p>El límite de memoria de un problema puede cambiar drásticamente la forma en la que podemos resolverlo. Por ejemplo, el problema &lt;a href="https://omegaup.com/arena/problem/La-especie-dominante-en-marte" target="_blank" rel="noopener">https://omegaup.com/arena/problem/La-especie-dominante-en-marte&lt;/a> nos pide encontrar el número que más se repite en una secuencia, si además sabemos que ese número aparece al menos más de la mitad de las veces. Si estamos usando C++ y conocemos relativamente bien la biblioteca estándar del lenguaje, nuestro primer intento sería algo así:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#include&lt;/span> &lt;span style="color:#75715e">&amp;lt;iostream&amp;gt;&lt;/span>&lt;span style="color:#75715e">
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#include&lt;/span> &lt;span style="color:#75715e">&amp;lt;map&amp;gt;&lt;/span>&lt;span style="color:#75715e">
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">int&lt;/span> &lt;span style="color:#a6e22e">main&lt;/span>( ) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> std&lt;span style="color:#f92672">::&lt;/span>map&lt;span style="color:#f92672">&amp;lt;&lt;/span>&lt;span style="color:#66d9ef">int&lt;/span>, &lt;span style="color:#66d9ef">int&lt;/span>&lt;span style="color:#f92672">&amp;gt;&lt;/span> frecuencias;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">for&lt;/span> (&lt;span style="color:#66d9ef">int&lt;/span> n; std&lt;span style="color:#f92672">::&lt;/span>cin &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> n;) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> frecuencias&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[n&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">+=&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e">// revisar qué valor apareció más e imprimirlo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>}
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si enviamos el código anterior, nos llevaremos la desagradable sorpresa de obtener &lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span>MLE&lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span> (memoria límite excedida). Aunque esta publicación no tiene por objetivo explicar cómo se resuelve el problema, sí podemos mencionar que lo adecuado es un &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>algoritmo de streaming&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> que surgió en el &lt;span style="color:#960050;background-color:#1e0010">á&lt;/span>rea de lo que ahora se conoce como &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>Big Data&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>. Entonces, el límite bajo de memoria es un intento de obligar al usuario a deducir dicho algoritmo, el cual usa &lt;span style="color:#960050;background-color:#1e0010">ú&lt;/span>nicamente tres variables enteras. Desafortunadamente, incluso el siguiente código...
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#960050;background-color:#1e0010">```&lt;/span>cpp
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#include&lt;/span> &lt;span style="color:#75715e">&amp;lt;iostream&amp;gt;&lt;/span>&lt;span style="color:#75715e">
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">int&lt;/span> main( ) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e">// leer la entrada y no hacer nada con ella
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e">// no nos sabemos el algoritmo y tenemos poca memoria :(
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span> (&lt;span style="color:#66d9ef">int&lt;/span> n; std&lt;span style="color:#f92672">::&lt;/span>cin &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> n;) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">continue&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>}
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#960050;background-color:#1e0010">¡&lt;/span>También supera la memoria límite del problema&lt;span style="color:#f92672">!&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Un usuario podría pensar (equivocadamente) que entonces el problema es imposible de resolver. Para evitar esta confusión, los usuarios de la plataforma deben tomar en cuenta lo siguiente:
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">-&lt;/span> Existe un &lt;span style="color:#960050;background-color:#1e0010">ú&lt;/span>nico límite de memoria por problema, el cual es independiente del lenguaje de programación usado. En el problema descrito previamente, el autor no quiso aumentar artificialmente el límite de memoria sólo para aceptar envíos en todos los lenguajes, porque eso implicaría que alguien que use un lenguaje eficiente podría idear un algoritmo que no era el que el autor quería permitir. Entonces, es verdad que algunos problemas no se pueden resolver en ciertos lenguajes de programación, pero el autor debería garantizar que el problema se puede resolver de forma razonable en por lo menos un lenguaje de programación (de preferencia C y C&lt;span style="color:#f92672">++&lt;/span>).
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#f92672">-&lt;/span> La biblioteca &lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span>&lt;span style="color:#f92672">&amp;lt;&lt;/span>iostream&lt;span style="color:#f92672">&amp;gt;&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span> de C&lt;span style="color:#f92672">++&lt;/span> consume mucha más memoria de la que uno podría imaginar inicialmente. Esto se puede verificar resolviendo un problema de &lt;span style="color:#e6db74">&amp;#34;Hola Mundo&amp;#34;&lt;/span> usando &lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span>&lt;span style="color:#f92672">&amp;lt;&lt;/span>iostream&lt;span style="color:#f92672">&amp;gt;&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span> y luego comparándolo con uno que sólo usa &lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span>&lt;span style="color:#f92672">&amp;lt;&lt;/span>stdio.h&lt;span style="color:#f92672">&amp;gt;&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span>. Peor aún, basta incluir &lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span>&lt;span style="color:#f92672">&amp;lt;&lt;/span>iostream&lt;span style="color:#f92672">&amp;gt;&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span> para que el consumo de memoria del programa aumente, ya que la inclusión de ese archivo al menos provoca que los objetos globales &lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span>std&lt;span style="color:#f92672">::&lt;/span>cin&lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span> y &lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span>std&lt;span style="color:#f92672">::&lt;/span>cout&lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span> se inicialicen.
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>El siguiente código no calcula la respuesta correcta, pero al menos al menos no superará el límite de memoria :)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#960050;background-color:#1e0010">```&lt;/span>cpp
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#include&lt;/span> &lt;span style="color:#75715e">&amp;lt;stdio.h&amp;gt;&lt;/span>&lt;span style="color:#75715e">
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">int&lt;/span> main( ) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e">// leer la entrada y no hacer nada con ella
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e">// no nos sabemos el algoritmo :(
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span> (&lt;span style="color:#66d9ef">int&lt;/span> n; scanf(&lt;span style="color:#e6db74">&amp;#34;%d&amp;#34;&lt;/span>, &lt;span style="color:#f92672">&amp;amp;&lt;/span>n) &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>;) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">continue&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>}
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Esperamos que esta publicación les haya ayudado a tener una idea más cercana de cómo atacar cierto tipo de problemas inusuales y los invitamos a resolver el problema mencionado en el juez en línea.&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#include&lt;/span> &lt;span class="cpf">&amp;lt;iostream&amp;gt;&lt;/span>&lt;span class="cp">
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#include&lt;/span> &lt;span class="cpf">&amp;lt;map&amp;gt;&lt;/span>&lt;span class="cp">
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="kt">int&lt;/span> &lt;span class="nf">main&lt;/span>&lt;span class="p">(&lt;/span> &lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">map&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="kt">int&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="kt">int&lt;/span>&lt;span class="o">&amp;gt;&lt;/span> &lt;span class="n">frecuencias&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">for&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">n&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cin&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="n">n&lt;/span>&lt;span class="p">;)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">frecuencias&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">n&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">+=&lt;/span> &lt;span class="mi">1&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="c1">// revisar qué valor apareció más e imprimirlo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span>&lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">enviamos&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">código&lt;/span> &lt;span class="n">anterior&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">nos&lt;/span> &lt;span class="n">llevaremos&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">desagradable&lt;/span> &lt;span class="n">sorpresa&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">obtener&lt;/span> &lt;span class="err">\`&lt;/span>&lt;span class="n">MLE&lt;/span>&lt;span class="err">\`&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">memoria&lt;/span> &lt;span class="n">límite&lt;/span> &lt;span class="n">excedida&lt;/span>&lt;span class="p">).&lt;/span> &lt;span class="n">Aunque&lt;/span> &lt;span class="n">esta&lt;/span> &lt;span class="n">publicación&lt;/span> &lt;span class="n">no&lt;/span> &lt;span class="n">tiene&lt;/span> &lt;span class="n">por&lt;/span> &lt;span class="n">objetivo&lt;/span> &lt;span class="n">explicar&lt;/span> &lt;span class="n">cómo&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">resuelve&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">problema&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sí&lt;/span> &lt;span class="n">podemos&lt;/span> &lt;span class="n">mencionar&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">lo&lt;/span> &lt;span class="n">adecuado&lt;/span> &lt;span class="n">es&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">algoritmo&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">streaming&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">surgió&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="err">á&lt;/span>&lt;span class="n">rea&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">lo&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">ahora&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">conoce&lt;/span> &lt;span class="n">como&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">Big&lt;/span> &lt;span class="n">Data&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">Entonces&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">límite&lt;/span> &lt;span class="n">bajo&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">memoria&lt;/span> &lt;span class="n">es&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="n">intento&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">obligar&lt;/span> &lt;span class="n">al&lt;/span> &lt;span class="n">usuario&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="n">deducir&lt;/span> &lt;span class="n">dicho&lt;/span> &lt;span class="n">algoritmo&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">cual&lt;/span> &lt;span class="n">usa&lt;/span> &lt;span class="err">ú&lt;/span>&lt;span class="n">nicamente&lt;/span> &lt;span class="n">tres&lt;/span> &lt;span class="n">variables&lt;/span> &lt;span class="n">enteras&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">Desafortunadamente&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">incluso&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">siguiente&lt;/span> &lt;span class="n">código&lt;/span>&lt;span class="p">...&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="err">```&lt;/span>&lt;span class="n">cpp&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#include&lt;/span> &lt;span class="cpf">&amp;lt;iostream&amp;gt;&lt;/span>&lt;span class="cp">
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="kt">int&lt;/span> &lt;span class="n">main&lt;/span>&lt;span class="p">(&lt;/span> &lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="c1">// leer la entrada y no hacer nada con ella
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="c1">// no nos sabemos el algoritmo y tenemos poca memoria :(
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="k">for&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">n&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cin&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="n">n&lt;/span>&lt;span class="p">;)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">continue&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="err">¡&lt;/span>&lt;span class="n">También&lt;/span> &lt;span class="n">supera&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">memoria&lt;/span> &lt;span class="n">límite&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">problema&lt;/span>&lt;span class="o">!&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Un&lt;/span> &lt;span class="n">usuario&lt;/span> &lt;span class="n">podría&lt;/span> &lt;span class="n">pensar&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">equivocadamente&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">entonces&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">problema&lt;/span> &lt;span class="n">es&lt;/span> &lt;span class="n">imposible&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">resolver&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">Para&lt;/span> &lt;span class="n">evitar&lt;/span> &lt;span class="n">esta&lt;/span> &lt;span class="n">confusión&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">usuarios&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">plataforma&lt;/span> &lt;span class="n">deben&lt;/span> &lt;span class="n">tomar&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">cuenta&lt;/span> &lt;span class="n">lo&lt;/span> &lt;span class="nl">siguiente&lt;/span>&lt;span class="p">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="err">\&lt;/span>&lt;span class="o">-&lt;/span> &lt;span class="n">Existe&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="err">ú&lt;/span>&lt;span class="n">nico&lt;/span> &lt;span class="n">límite&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">memoria&lt;/span> &lt;span class="n">por&lt;/span> &lt;span class="n">problema&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">cual&lt;/span> &lt;span class="n">es&lt;/span> &lt;span class="n">independiente&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">lenguaje&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">programación&lt;/span> &lt;span class="n">usado&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">En&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">problema&lt;/span> &lt;span class="n">descrito&lt;/span> &lt;span class="n">previamente&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">autor&lt;/span> &lt;span class="n">no&lt;/span> &lt;span class="n">quiso&lt;/span> &lt;span class="n">aumentar&lt;/span> &lt;span class="n">artificialmente&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">límite&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">memoria&lt;/span> &lt;span class="n">sólo&lt;/span> &lt;span class="n">para&lt;/span> &lt;span class="n">aceptar&lt;/span> &lt;span class="n">envíos&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">todos&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">lenguajes&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">porque&lt;/span> &lt;span class="n">eso&lt;/span> &lt;span class="n">implicaría&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">alguien&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">use&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="n">lenguaje&lt;/span> &lt;span class="n">eficiente&lt;/span> &lt;span class="n">podría&lt;/span> &lt;span class="n">idear&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="n">algoritmo&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">no&lt;/span> &lt;span class="n">era&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">autor&lt;/span> &lt;span class="n">quería&lt;/span> &lt;span class="n">permitir&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">Entonces&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">es&lt;/span> &lt;span class="n">verdad&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">algunos&lt;/span> &lt;span class="n">problemas&lt;/span> &lt;span class="n">no&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">pueden&lt;/span> &lt;span class="n">resolver&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">ciertos&lt;/span> &lt;span class="n">lenguajes&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">programación&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">pero&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">autor&lt;/span> &lt;span class="n">debería&lt;/span> &lt;span class="n">garantizar&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">problema&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">puede&lt;/span> &lt;span class="n">resolver&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">forma&lt;/span> &lt;span class="n">razonable&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">por&lt;/span> &lt;span class="n">lo&lt;/span> &lt;span class="n">menos&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="n">lenguaje&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">programación&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">de&lt;/span> &lt;span class="n">preferencia&lt;/span> &lt;span class="n">C&lt;/span> &lt;span class="n">y&lt;/span> &lt;span class="n">C&lt;/span>&lt;span class="o">++&lt;/span>&lt;span class="p">).&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="o">-&lt;/span> &lt;span class="n">La&lt;/span> &lt;span class="n">biblioteca&lt;/span> &lt;span class="err">\`&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">iostream&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>&lt;span class="err">\`&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">C&lt;/span>&lt;span class="o">++&lt;/span> &lt;span class="n">consume&lt;/span> &lt;span class="n">mucha&lt;/span> &lt;span class="n">más&lt;/span> &lt;span class="n">memoria&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">uno&lt;/span> &lt;span class="n">podría&lt;/span> &lt;span class="n">imaginar&lt;/span> &lt;span class="n">inicialmente&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">Esto&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">puede&lt;/span> &lt;span class="n">verificar&lt;/span> &lt;span class="n">resolviendo&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="n">problema&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="s">&amp;#34;Hola Mundo&amp;#34;&lt;/span> &lt;span class="n">usando&lt;/span> &lt;span class="err">\`&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">iostream&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>&lt;span class="err">\`&lt;/span> &lt;span class="n">y&lt;/span> &lt;span class="n">luego&lt;/span> &lt;span class="n">comparándolo&lt;/span> &lt;span class="n">con&lt;/span> &lt;span class="n">uno&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">sólo&lt;/span> &lt;span class="n">usa&lt;/span> &lt;span class="err">\`&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">stdio&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">h&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>&lt;span class="err">\`&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">Peor&lt;/span> &lt;span class="n">aún&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">basta&lt;/span> &lt;span class="n">incluir&lt;/span> &lt;span class="err">\`&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">iostream&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>&lt;span class="err">\`&lt;/span> &lt;span class="n">para&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">consumo&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">memoria&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">programa&lt;/span> &lt;span class="n">aumente&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">ya&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">inclusión&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">ese&lt;/span> &lt;span class="n">archivo&lt;/span> &lt;span class="n">al&lt;/span> &lt;span class="n">menos&lt;/span> &lt;span class="n">provoca&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">objetos&lt;/span> &lt;span class="n">globales&lt;/span> &lt;span class="err">\`&lt;/span>&lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cin&lt;/span>&lt;span class="err">\`&lt;/span> &lt;span class="n">y&lt;/span> &lt;span class="err">\`&lt;/span>&lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cout&lt;/span>&lt;span class="err">\`&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">inicialicen&lt;/span>&lt;span class="p">.&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">El&lt;/span> &lt;span class="n">siguiente&lt;/span> &lt;span class="n">código&lt;/span> &lt;span class="n">no&lt;/span> &lt;span class="n">calcula&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">respuesta&lt;/span> &lt;span class="n">correcta&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">pero&lt;/span> &lt;span class="n">al&lt;/span> &lt;span class="n">menos&lt;/span> &lt;span class="n">al&lt;/span> &lt;span class="n">menos&lt;/span> &lt;span class="n">no&lt;/span> &lt;span class="n">superará&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">límite&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="nl">memoria&lt;/span> &lt;span class="p">:)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="err">```&lt;/span>&lt;span class="n">cpp&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#include&lt;/span> &lt;span class="cpf">&amp;lt;stdio.h&amp;gt;&lt;/span>&lt;span class="cp">
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="kt">int&lt;/span> &lt;span class="n">main&lt;/span>&lt;span class="p">(&lt;/span> &lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="c1">// leer la entrada y no hacer nada con ella
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="c1">// no nos sabemos el algoritmo :(
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="k">for&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">n&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">scanf&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="s">&amp;#34;%d&amp;#34;&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">&amp;amp;&lt;/span>&lt;span class="n">n&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">1&lt;/span>&lt;span class="p">;)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">continue&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Esperamos&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">esta&lt;/span> &lt;span class="n">publicación&lt;/span> &lt;span class="n">les&lt;/span> &lt;span class="n">haya&lt;/span> &lt;span class="n">ayudado&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="n">tener&lt;/span> &lt;span class="n">una&lt;/span> &lt;span class="n">idea&lt;/span> &lt;span class="n">más&lt;/span> &lt;span class="n">cercana&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">cómo&lt;/span> &lt;span class="n">atacar&lt;/span> &lt;span class="n">cierto&lt;/span> &lt;span class="n">tipo&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">problemas&lt;/span> &lt;span class="n">inusuales&lt;/span> &lt;span class="n">y&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">invitamos&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="n">resolver&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">problema&lt;/span> &lt;span class="n">mencionado&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">juez&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">línea&lt;/span>&lt;span class="p">.&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
@@ -494,8 +494,8 @@ title="Copiar código"
 &lt;p>Resulta que cin/cout son muy buenos amigos de scanf/printf. Como son tan buenos amigos, al realizar la lectura y salida no querían alejarse demasiado, por lo que cin/cout tenía que sincronizarse para estar siempre a la par de scanf/printf.&lt;/p>
 &lt;p>Para no hacer el cuento largo, hay una forma de desactivar la opción de sincronización entre cin/cout y scanf/printf, solo es necesario incluir al inicio del main:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-c++" data-lang="c++">&lt;span style="display:flex;">&lt;span>std&lt;span style="color:#f92672">::&lt;/span>cin.tie(&lt;span style="color:#66d9ef">nullptr&lt;/span>);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>std&lt;span style="color:#f92672">::&lt;/span>ios_base&lt;span style="color:#f92672">::&lt;/span>sync_with_stdio(false);&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-c++" data-lang="c++">&lt;span class="line">&lt;span class="cl">&lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cin&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tie&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="k">nullptr&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">ios_base&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">sync_with_stdio&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="nb">false&lt;/span>&lt;span class="p">);&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
@@ -514,16 +514,16 @@ title="Copiar código"
 &lt;p>Aunque el objetivo original no es ganar unas cuantas centésimas de segundo en eficiencia, sino dar la oportunidad a aquellos olímpicos que no manejan scanf/printf para seguir usando cin/cout sin enfrentarse a más complicaciones.&lt;/p>
 &lt;p>Finalmente les dejó un ejemplo de cómo usar todo lo anterior en un código de C++. Espero que algo de esto les pueda ayudar en el futuro. Les deseo lo mejor :)&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-c++" data-lang="c++">&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#include&lt;/span> &lt;span style="color:#75715e">&amp;lt;bits/stdc++.h&amp;gt;&lt;/span>&lt;span style="color:#75715e">
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#define optimizar_io do { std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); } while(false)`
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">int&lt;/span> &lt;span style="color:#a6e22e">main&lt;/span>(){
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> optimizar_io;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">int&lt;/span> a, b;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> std&lt;span style="color:#f92672">::&lt;/span>cin &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> a &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> b;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> std&lt;span style="color:#f92672">::&lt;/span>cout &lt;span style="color:#f92672">&amp;lt;&amp;lt;&lt;/span> a &lt;span style="color:#f92672">+&lt;/span> b &lt;span style="color:#f92672">&amp;lt;&amp;lt;&lt;/span> &lt;span style="color:#e6db74">&amp;#34;&lt;/span>&lt;span style="color:#ae81ff">\n&lt;/span>&lt;span style="color:#e6db74">&amp;#34;&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>}&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-c++" data-lang="c++">&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#include&lt;/span> &lt;span class="cpf">&amp;lt;bits/stdc++.h&amp;gt;&lt;/span>&lt;span class="cp">
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#define optimizar_io do { std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); } while(false)`
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="kt">int&lt;/span> &lt;span class="nf">main&lt;/span>&lt;span class="p">(){&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">optimizar_io&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">int&lt;/span> &lt;span class="n">a&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">b&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cin&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="n">b&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cout&lt;/span> &lt;span class="o">&amp;lt;&amp;lt;&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">b&lt;/span> &lt;span class="o">&amp;lt;&amp;lt;&lt;/span> &lt;span class="s">&amp;#34;&lt;/span>&lt;span class="se">\n&lt;/span>&lt;span class="s">&amp;#34;&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="p">}&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
diff --git a/tags/miguel/index.html b/tags/miguel/index.html
index 4910e73..a95a069 100644
--- a/tags/miguel/index.html
+++ b/tags/miguel/index.html
@@ -1,6 +1,10 @@
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+<kbd class="hx-absolute hx-my-1.5 hx-select-none ltr:hx-right-1.5 rtl:hx-left-1.5 hx-h-5 hx-rounded hx-bg-white hx-px-1.5 hx-font-mono hx-text-[10px] hx-font-medium hx-text-gray-500 hx-border dark:hx-border-gray-100/20 dark:hx-bg-dark/50 contrast-more:hx-border-current contrast-more:hx-text-current contrast-more:dark:hx-border-current hx-items-center hx-gap-1 hx-transition-opacity hx-pointer-events-none hx-hidden sm:hx-flex">CTRL K</kbd></div><div><ul class="search-results hextra-scrollbar hx-hidden hx-border hx-border-gray-200 hx-bg-white hx-text-gray-100 dark:hx-border-neutral-800 dark:hx-bg-neutral-900 hx-absolute hx-top-full hx-z-20 hx-mt-2 hx-overflow-auto hx-overscroll-contain hx-rounded-xl hx-py-2.5 hx-shadow-xl hx-max-h-[min(calc(50vh-11rem-env(safe-area-inset-bottom)),400px)] md:hx-max-h-[min(calc(100vh-5rem-env(safe-area-inset-bottom)),400px)] hx-inset-x-0 ltr:md:hx-left-auto rtl:md:hx-right-auto contrast-more:hx-border contrast-more:hx-border-gray-900 contrast-more:dark:hx-border-gray-50 hx-w-screen hx-min-h-[100px] hx-max-w-[min(calc(100vw-2rem),calc(100%+20rem))]" style="transition:max-height .2s ease 0s"></ul></div></div><a class="hx-p-2 hx-text-current" target=_blank rel=noreferer href=https://github.com/omegaup title=GitHub><svg height="24" fill="currentcolor" viewBox="3 3 18 18"><path d="M12 3C7.0275 3 3 7.12937 3 12.2276c0 4.0833 2.57625 7.5321 6.15374 8.7548C9.60374 21.0631 9.77249 20.7863 9.77249 20.5441 9.77249 20.3249 9.76125 19.5982 9.76125 18.8254 7.5 19.2522 6.915 18.2602 6.735 17.7412 6.63375 17.4759 6.19499 16.6569 5.8125 16.4378 5.4975 16.2647 5.0475 15.838 5.80124 15.8264 6.51 15.8149 7.01625 16.4954 7.18499 16.7723 7.99499 18.1679 9.28875 17.7758 9.80625 17.5335 9.885 16.9337 10.1212 16.53 10.38 16.2993 8.3775 16.0687 6.285 15.2728 6.285 11.7432c0-1.0035.34875-1.834.92249-2.47994C7.1175 9.03257 6.8025 8.08674 7.2975 6.81794c0 0 .753749999999999-.24223 2.47499.94583.72001-.20762 1.48501-.31143 2.25001-.31143C12.7875 7.45234 13.5525 7.55615 14.2725 7.76377c1.7212-1.19959 2.475-.94583 2.475-.94583C17.2424 8.08674 16.9275 9.03257 16.8375 9.26326 17.4113 9.9092 17.76 10.7281 17.76 11.7432c0 3.5411-2.1037 4.3255-4.1063 4.5561C13.98 16.5877 14.2613 17.1414 14.2613 18.0065 14.2613 19.2407 14.25 20.2326 14.25 20.5441 14.25 20.7863 14.4188 21.0746 14.8688 20.9824 16.6554 20.364 18.2079 19.1866 19.3078 17.6162c1.0999-1.5705 1.6917-3.4551 1.6922-5.3886C21 7.12937 16.9725 3 12 3z"/></svg>
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diff --git "a/tags/m\303\241scara-de-bits/index.html" "b/tags/m\303\241scara-de-bits/index.html"
index 49f48d9..2e5dffa 100644
--- "a/tags/m\303\241scara-de-bits/index.html"
+++ "b/tags/m\303\241scara-de-bits/index.html"
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diff --git a/tags/news/index.html b/tags/news/index.html
index 390fefd..22ea1ce 100644
--- a/tags/news/index.html
+++ b/tags/news/index.html
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diff --git a/tags/news/index.xml b/tags/news/index.xml
index a536ab2..5cfdeaf 100644
--- a/tags/news/index.xml
+++ b/tags/news/index.xml
@@ -19,7 +19,7 @@
 &lt;li>Manda tu aplicación antes del &lt;em>18 de abril&lt;/em>.&lt;/li>
 &lt;/ol>
 &lt;p>Más detalles sobre el proceso de aplicación en &lt;a href="https://github.com/omegaup/omegaup/wiki/Google-Summer-of-Code-2022/#application-process" target="_blank" rel="noopener">nuestro wiki&lt;/a>.&lt;/p>
-&lt;!-- raw HTML omitted -->
+&lt;img align="right" src="https://user-images.githubusercontent.com/13296248/159149881-43c0a42b-236b-49b6-a02f-a760647df1a5.png">
 &lt;p>&lt;img src="https://user-images.githubusercontent.com/13296248/159149882-63dd12ef-4e45-45ea-bdbf-72d40d704481.png" alt="gsoc" loading="lazy" />&lt;/p></description></item><item><title>Bases de Liga de Programación de omegaUp</title><link>https://blog.omegaup.com/posts/bases-de-liga-de-programacion-de-omegaup/</link><pubDate>Fri, 10 Dec 2021 00:22:57 +0000</pubDate><guid>https://blog.omegaup.com/posts/bases-de-liga-de-programacion-de-omegaup/</guid><description>
 &lt;p>omegaUp Invita a todos los estudiantes de nivel media superior y superior a participar a la 2° edición de la Liga de programación omegaUp.&lt;/p>
 &lt;p>&lt;strong>Reglas&lt;/strong>:&lt;/p>
@@ -752,7 +752,7 @@ alt="rcrx y joemmanuel hackathoneando." width="300" height="225">&lt;/a>&lt;figc
 &lt;a href="#referencias" class="subheading-anchor" aria-label="Permalink for this section">&lt;/a>&lt;/h2>&lt;ol>
 &lt;li>
 &lt;p>Reporte NetMarketShare, Enero 2014:&lt;/p>
-&lt;!-- raw HTML omitted -->
+&lt;iframe id="na635245505602870000" src="" frameborder="0" marginwidth="0" marginheight="0" scrolling="no" width="600" height="570">&lt;/iframe>
 &lt;/li>
 &lt;li>
 &lt;p>&lt;a href="http://www.igvita.com/2013/12/16/optimizing-nginx-tls-time-to-first-byte/" target="_blank" rel="noopener">Optimizing NGINX TLS Time To First Byte (TTFB)&lt;/a> - igvita.com&lt;/p>
diff --git a/tags/nieves/index.html b/tags/nieves/index.html
index 5bca1fd..4f6e271 100644
--- a/tags/nieves/index.html
+++ b/tags/nieves/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/nueva-funcionalidad/index.html b/tags/nueva-funcionalidad/index.html
index f5f1b91..552d72d 100644
--- a/tags/nueva-funcionalidad/index.html
+++ b/tags/nueva-funcionalidad/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/omegaup/index.html b/tags/omegaup/index.html
index 3566dd4..eb03bcd 100644
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diff --git a/tags/omegaup/index.xml b/tags/omegaup/index.xml
index c671816..91ec68e 100644
--- a/tags/omegaup/index.xml
+++ b/tags/omegaup/index.xml
@@ -161,53 +161,53 @@ La métrica para cada usuario, llamada &lt;code>author_score&lt;/code>, es calcu
 &lt;li>Manda tu aplicación antes del &lt;em>18 de abril&lt;/em>.&lt;/li>
 &lt;/ol>
 &lt;p>Más detalles sobre el proceso de aplicación en &lt;a href="https://github.com/omegaup/omegaup/wiki/Google-Summer-of-Code-2022/#application-process" target="_blank" rel="noopener">nuestro wiki&lt;/a>.&lt;/p>
-&lt;!-- raw HTML omitted -->
+&lt;img align="right" src="https://user-images.githubusercontent.com/13296248/159149881-43c0a42b-236b-49b6-a02f-a760647df1a5.png">
 &lt;p>&lt;img src="https://user-images.githubusercontent.com/13296248/159149882-63dd12ef-4e45-45ea-bdbf-72d40d704481.png" alt="gsoc" loading="lazy" />&lt;/p></description></item><item><title>Resolviendo problemas con un límite bajo de memoria</title><link>https://blog.omegaup.com/posts/resolviendo-problemas-con-un-limite-bajo-de-memoria/</link><pubDate>Sun, 05 Dec 2021 05:03:04 +0000</pubDate><guid>https://blog.omegaup.com/posts/resolviendo-problemas-con-un-limite-bajo-de-memoria/</guid><description>
 &lt;p>Gracias @Rodrigo-RCC por este aporte!&lt;/p>
 &lt;p>El límite de memoria de un problema puede cambiar drásticamente la forma en la que podemos resolverlo. Por ejemplo, el problema &lt;a href="https://omegaup.com/arena/problem/La-especie-dominante-en-marte" target="_blank" rel="noopener">https://omegaup.com/arena/problem/La-especie-dominante-en-marte&lt;/a> nos pide encontrar el número que más se repite en una secuencia, si además sabemos que ese número aparece al menos más de la mitad de las veces. Si estamos usando C++ y conocemos relativamente bien la biblioteca estándar del lenguaje, nuestro primer intento sería algo así:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#include&lt;/span> &lt;span style="color:#75715e">&amp;lt;iostream&amp;gt;&lt;/span>&lt;span style="color:#75715e">
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#include&lt;/span> &lt;span style="color:#75715e">&amp;lt;map&amp;gt;&lt;/span>&lt;span style="color:#75715e">
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">int&lt;/span> &lt;span style="color:#a6e22e">main&lt;/span>( ) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> std&lt;span style="color:#f92672">::&lt;/span>map&lt;span style="color:#f92672">&amp;lt;&lt;/span>&lt;span style="color:#66d9ef">int&lt;/span>, &lt;span style="color:#66d9ef">int&lt;/span>&lt;span style="color:#f92672">&amp;gt;&lt;/span> frecuencias;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">for&lt;/span> (&lt;span style="color:#66d9ef">int&lt;/span> n; std&lt;span style="color:#f92672">::&lt;/span>cin &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> n;) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> frecuencias&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[n&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">+=&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e">// revisar qué valor apareció más e imprimirlo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>}
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si enviamos el código anterior, nos llevaremos la desagradable sorpresa de obtener &lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span>MLE&lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span> (memoria límite excedida). Aunque esta publicación no tiene por objetivo explicar cómo se resuelve el problema, sí podemos mencionar que lo adecuado es un &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>algoritmo de streaming&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> que surgió en el &lt;span style="color:#960050;background-color:#1e0010">á&lt;/span>rea de lo que ahora se conoce como &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>Big Data&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>. Entonces, el límite bajo de memoria es un intento de obligar al usuario a deducir dicho algoritmo, el cual usa &lt;span style="color:#960050;background-color:#1e0010">ú&lt;/span>nicamente tres variables enteras. Desafortunadamente, incluso el siguiente código...
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#960050;background-color:#1e0010">```&lt;/span>cpp
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#include&lt;/span> &lt;span style="color:#75715e">&amp;lt;iostream&amp;gt;&lt;/span>&lt;span style="color:#75715e">
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">int&lt;/span> main( ) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e">// leer la entrada y no hacer nada con ella
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e">// no nos sabemos el algoritmo y tenemos poca memoria :(
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span> (&lt;span style="color:#66d9ef">int&lt;/span> n; std&lt;span style="color:#f92672">::&lt;/span>cin &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> n;) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">continue&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>}
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#960050;background-color:#1e0010">¡&lt;/span>También supera la memoria límite del problema&lt;span style="color:#f92672">!&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Un usuario podría pensar (equivocadamente) que entonces el problema es imposible de resolver. Para evitar esta confusión, los usuarios de la plataforma deben tomar en cuenta lo siguiente:
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">-&lt;/span> Existe un &lt;span style="color:#960050;background-color:#1e0010">ú&lt;/span>nico límite de memoria por problema, el cual es independiente del lenguaje de programación usado. En el problema descrito previamente, el autor no quiso aumentar artificialmente el límite de memoria sólo para aceptar envíos en todos los lenguajes, porque eso implicaría que alguien que use un lenguaje eficiente podría idear un algoritmo que no era el que el autor quería permitir. Entonces, es verdad que algunos problemas no se pueden resolver en ciertos lenguajes de programación, pero el autor debería garantizar que el problema se puede resolver de forma razonable en por lo menos un lenguaje de programación (de preferencia C y C&lt;span style="color:#f92672">++&lt;/span>).
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#f92672">-&lt;/span> La biblioteca &lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span>&lt;span style="color:#f92672">&amp;lt;&lt;/span>iostream&lt;span style="color:#f92672">&amp;gt;&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span> de C&lt;span style="color:#f92672">++&lt;/span> consume mucha más memoria de la que uno podría imaginar inicialmente. Esto se puede verificar resolviendo un problema de &lt;span style="color:#e6db74">&amp;#34;Hola Mundo&amp;#34;&lt;/span> usando &lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span>&lt;span style="color:#f92672">&amp;lt;&lt;/span>iostream&lt;span style="color:#f92672">&amp;gt;&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span> y luego comparándolo con uno que sólo usa &lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span>&lt;span style="color:#f92672">&amp;lt;&lt;/span>stdio.h&lt;span style="color:#f92672">&amp;gt;&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span>. Peor aún, basta incluir &lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span>&lt;span style="color:#f92672">&amp;lt;&lt;/span>iostream&lt;span style="color:#f92672">&amp;gt;&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span> para que el consumo de memoria del programa aumente, ya que la inclusión de ese archivo al menos provoca que los objetos globales &lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span>std&lt;span style="color:#f92672">::&lt;/span>cin&lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span> y &lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span>std&lt;span style="color:#f92672">::&lt;/span>cout&lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span> se inicialicen.
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>El siguiente código no calcula la respuesta correcta, pero al menos al menos no superará el límite de memoria :)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#960050;background-color:#1e0010">```&lt;/span>cpp
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#include&lt;/span> &lt;span style="color:#75715e">&amp;lt;stdio.h&amp;gt;&lt;/span>&lt;span style="color:#75715e">
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">int&lt;/span> main( ) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e">// leer la entrada y no hacer nada con ella
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e">// no nos sabemos el algoritmo :(
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span> (&lt;span style="color:#66d9ef">int&lt;/span> n; scanf(&lt;span style="color:#e6db74">&amp;#34;%d&amp;#34;&lt;/span>, &lt;span style="color:#f92672">&amp;amp;&lt;/span>n) &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>;) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">continue&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>}
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Esperamos que esta publicación les haya ayudado a tener una idea más cercana de cómo atacar cierto tipo de problemas inusuales y los invitamos a resolver el problema mencionado en el juez en línea.&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#include&lt;/span> &lt;span class="cpf">&amp;lt;iostream&amp;gt;&lt;/span>&lt;span class="cp">
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#include&lt;/span> &lt;span class="cpf">&amp;lt;map&amp;gt;&lt;/span>&lt;span class="cp">
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="kt">int&lt;/span> &lt;span class="nf">main&lt;/span>&lt;span class="p">(&lt;/span> &lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">map&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="kt">int&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="kt">int&lt;/span>&lt;span class="o">&amp;gt;&lt;/span> &lt;span class="n">frecuencias&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">for&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">n&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cin&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="n">n&lt;/span>&lt;span class="p">;)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">frecuencias&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">n&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">+=&lt;/span> &lt;span class="mi">1&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="c1">// revisar qué valor apareció más e imprimirlo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span>&lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">enviamos&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">código&lt;/span> &lt;span class="n">anterior&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">nos&lt;/span> &lt;span class="n">llevaremos&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">desagradable&lt;/span> &lt;span class="n">sorpresa&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">obtener&lt;/span> &lt;span class="err">\`&lt;/span>&lt;span class="n">MLE&lt;/span>&lt;span class="err">\`&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">memoria&lt;/span> &lt;span class="n">límite&lt;/span> &lt;span class="n">excedida&lt;/span>&lt;span class="p">).&lt;/span> &lt;span class="n">Aunque&lt;/span> &lt;span class="n">esta&lt;/span> &lt;span class="n">publicación&lt;/span> &lt;span class="n">no&lt;/span> &lt;span class="n">tiene&lt;/span> &lt;span class="n">por&lt;/span> &lt;span class="n">objetivo&lt;/span> &lt;span class="n">explicar&lt;/span> &lt;span class="n">cómo&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">resuelve&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">problema&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sí&lt;/span> &lt;span class="n">podemos&lt;/span> &lt;span class="n">mencionar&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">lo&lt;/span> &lt;span class="n">adecuado&lt;/span> &lt;span class="n">es&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">algoritmo&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">streaming&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">surgió&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="err">á&lt;/span>&lt;span class="n">rea&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">lo&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">ahora&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">conoce&lt;/span> &lt;span class="n">como&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">Big&lt;/span> &lt;span class="n">Data&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">Entonces&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">límite&lt;/span> &lt;span class="n">bajo&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">memoria&lt;/span> &lt;span class="n">es&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="n">intento&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">obligar&lt;/span> &lt;span class="n">al&lt;/span> &lt;span class="n">usuario&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="n">deducir&lt;/span> &lt;span class="n">dicho&lt;/span> &lt;span class="n">algoritmo&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">cual&lt;/span> &lt;span class="n">usa&lt;/span> &lt;span class="err">ú&lt;/span>&lt;span class="n">nicamente&lt;/span> &lt;span class="n">tres&lt;/span> &lt;span class="n">variables&lt;/span> &lt;span class="n">enteras&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">Desafortunadamente&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">incluso&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">siguiente&lt;/span> &lt;span class="n">código&lt;/span>&lt;span class="p">...&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="err">```&lt;/span>&lt;span class="n">cpp&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#include&lt;/span> &lt;span class="cpf">&amp;lt;iostream&amp;gt;&lt;/span>&lt;span class="cp">
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="kt">int&lt;/span> &lt;span class="n">main&lt;/span>&lt;span class="p">(&lt;/span> &lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="c1">// leer la entrada y no hacer nada con ella
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="c1">// no nos sabemos el algoritmo y tenemos poca memoria :(
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="k">for&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">n&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cin&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="n">n&lt;/span>&lt;span class="p">;)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">continue&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="err">¡&lt;/span>&lt;span class="n">También&lt;/span> &lt;span class="n">supera&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">memoria&lt;/span> &lt;span class="n">límite&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">problema&lt;/span>&lt;span class="o">!&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Un&lt;/span> &lt;span class="n">usuario&lt;/span> &lt;span class="n">podría&lt;/span> &lt;span class="n">pensar&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">equivocadamente&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">entonces&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">problema&lt;/span> &lt;span class="n">es&lt;/span> &lt;span class="n">imposible&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">resolver&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">Para&lt;/span> &lt;span class="n">evitar&lt;/span> &lt;span class="n">esta&lt;/span> &lt;span class="n">confusión&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">usuarios&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">plataforma&lt;/span> &lt;span class="n">deben&lt;/span> &lt;span class="n">tomar&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">cuenta&lt;/span> &lt;span class="n">lo&lt;/span> &lt;span class="nl">siguiente&lt;/span>&lt;span class="p">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="err">\&lt;/span>&lt;span class="o">-&lt;/span> &lt;span class="n">Existe&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="err">ú&lt;/span>&lt;span class="n">nico&lt;/span> &lt;span class="n">límite&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">memoria&lt;/span> &lt;span class="n">por&lt;/span> &lt;span class="n">problema&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">cual&lt;/span> &lt;span class="n">es&lt;/span> &lt;span class="n">independiente&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">lenguaje&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">programación&lt;/span> &lt;span class="n">usado&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">En&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">problema&lt;/span> &lt;span class="n">descrito&lt;/span> &lt;span class="n">previamente&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">autor&lt;/span> &lt;span class="n">no&lt;/span> &lt;span class="n">quiso&lt;/span> &lt;span class="n">aumentar&lt;/span> &lt;span class="n">artificialmente&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">límite&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">memoria&lt;/span> &lt;span class="n">sólo&lt;/span> &lt;span class="n">para&lt;/span> &lt;span class="n">aceptar&lt;/span> &lt;span class="n">envíos&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">todos&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">lenguajes&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">porque&lt;/span> &lt;span class="n">eso&lt;/span> &lt;span class="n">implicaría&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">alguien&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">use&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="n">lenguaje&lt;/span> &lt;span class="n">eficiente&lt;/span> &lt;span class="n">podría&lt;/span> &lt;span class="n">idear&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="n">algoritmo&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">no&lt;/span> &lt;span class="n">era&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">autor&lt;/span> &lt;span class="n">quería&lt;/span> &lt;span class="n">permitir&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">Entonces&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">es&lt;/span> &lt;span class="n">verdad&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">algunos&lt;/span> &lt;span class="n">problemas&lt;/span> &lt;span class="n">no&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">pueden&lt;/span> &lt;span class="n">resolver&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">ciertos&lt;/span> &lt;span class="n">lenguajes&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">programación&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">pero&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">autor&lt;/span> &lt;span class="n">debería&lt;/span> &lt;span class="n">garantizar&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">problema&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">puede&lt;/span> &lt;span class="n">resolver&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">forma&lt;/span> &lt;span class="n">razonable&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">por&lt;/span> &lt;span class="n">lo&lt;/span> &lt;span class="n">menos&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="n">lenguaje&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">programación&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">de&lt;/span> &lt;span class="n">preferencia&lt;/span> &lt;span class="n">C&lt;/span> &lt;span class="n">y&lt;/span> &lt;span class="n">C&lt;/span>&lt;span class="o">++&lt;/span>&lt;span class="p">).&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="o">-&lt;/span> &lt;span class="n">La&lt;/span> &lt;span class="n">biblioteca&lt;/span> &lt;span class="err">\`&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">iostream&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>&lt;span class="err">\`&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">C&lt;/span>&lt;span class="o">++&lt;/span> &lt;span class="n">consume&lt;/span> &lt;span class="n">mucha&lt;/span> &lt;span class="n">más&lt;/span> &lt;span class="n">memoria&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">uno&lt;/span> &lt;span class="n">podría&lt;/span> &lt;span class="n">imaginar&lt;/span> &lt;span class="n">inicialmente&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">Esto&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">puede&lt;/span> &lt;span class="n">verificar&lt;/span> &lt;span class="n">resolviendo&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="n">problema&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="s">&amp;#34;Hola Mundo&amp;#34;&lt;/span> &lt;span class="n">usando&lt;/span> &lt;span class="err">\`&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">iostream&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>&lt;span class="err">\`&lt;/span> &lt;span class="n">y&lt;/span> &lt;span class="n">luego&lt;/span> &lt;span class="n">comparándolo&lt;/span> &lt;span class="n">con&lt;/span> &lt;span class="n">uno&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">sólo&lt;/span> &lt;span class="n">usa&lt;/span> &lt;span class="err">\`&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">stdio&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">h&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>&lt;span class="err">\`&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">Peor&lt;/span> &lt;span class="n">aún&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">basta&lt;/span> &lt;span class="n">incluir&lt;/span> &lt;span class="err">\`&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">iostream&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>&lt;span class="err">\`&lt;/span> &lt;span class="n">para&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">consumo&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">memoria&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">programa&lt;/span> &lt;span class="n">aumente&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">ya&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">inclusión&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">ese&lt;/span> &lt;span class="n">archivo&lt;/span> &lt;span class="n">al&lt;/span> &lt;span class="n">menos&lt;/span> &lt;span class="n">provoca&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">objetos&lt;/span> &lt;span class="n">globales&lt;/span> &lt;span class="err">\`&lt;/span>&lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cin&lt;/span>&lt;span class="err">\`&lt;/span> &lt;span class="n">y&lt;/span> &lt;span class="err">\`&lt;/span>&lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cout&lt;/span>&lt;span class="err">\`&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">inicialicen&lt;/span>&lt;span class="p">.&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">El&lt;/span> &lt;span class="n">siguiente&lt;/span> &lt;span class="n">código&lt;/span> &lt;span class="n">no&lt;/span> &lt;span class="n">calcula&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">respuesta&lt;/span> &lt;span class="n">correcta&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">pero&lt;/span> &lt;span class="n">al&lt;/span> &lt;span class="n">menos&lt;/span> &lt;span class="n">al&lt;/span> &lt;span class="n">menos&lt;/span> &lt;span class="n">no&lt;/span> &lt;span class="n">superará&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">límite&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="nl">memoria&lt;/span> &lt;span class="p">:)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="err">```&lt;/span>&lt;span class="n">cpp&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#include&lt;/span> &lt;span class="cpf">&amp;lt;stdio.h&amp;gt;&lt;/span>&lt;span class="cp">
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="kt">int&lt;/span> &lt;span class="n">main&lt;/span>&lt;span class="p">(&lt;/span> &lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="c1">// leer la entrada y no hacer nada con ella
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="c1">// no nos sabemos el algoritmo :(
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="k">for&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">n&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">scanf&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="s">&amp;#34;%d&amp;#34;&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">&amp;amp;&lt;/span>&lt;span class="n">n&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">1&lt;/span>&lt;span class="p">;)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">continue&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Esperamos&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">esta&lt;/span> &lt;span class="n">publicación&lt;/span> &lt;span class="n">les&lt;/span> &lt;span class="n">haya&lt;/span> &lt;span class="n">ayudado&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="n">tener&lt;/span> &lt;span class="n">una&lt;/span> &lt;span class="n">idea&lt;/span> &lt;span class="n">más&lt;/span> &lt;span class="n">cercana&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">cómo&lt;/span> &lt;span class="n">atacar&lt;/span> &lt;span class="n">cierto&lt;/span> &lt;span class="n">tipo&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">problemas&lt;/span> &lt;span class="n">inusuales&lt;/span> &lt;span class="n">y&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">invitamos&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="n">resolver&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">problema&lt;/span> &lt;span class="n">mencionado&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">juez&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">línea&lt;/span>&lt;span class="p">.&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
diff --git a/tags/pavel-herrera/index.html b/tags/pavel-herrera/index.html
index 08d3489..33c7ade 100644
--- a/tags/pavel-herrera/index.html
+++ b/tags/pavel-herrera/index.html
@@ -1,6 +1,10 @@
 <!doctype html><html lang=es><head><meta charset=utf-8><meta name=viewport content="width=device-width,initial-scale=1"><meta name=robots content="index, follow"><link rel="icon shortcut" href=/favicon.ico sizes=32x32><link rel=icon href=/favicon.svg type=image/svg+xml><link rel=icon href=/favicon-dark.svg type=image/svg+xml media="(prefers-color-scheme: dark)"><link rel=icon href=/favicon-16x16.png type=image/png sizes=16x16><link rel=icon href=/favicon-32x32.png type=image/png sizes=32x32><link rel=apple-touch-icon href=/apple-touch-icon.png sizes=180x180><link fetchpriority=low href=/site.webmanifest rel=manifest><title>Pavel Herrera – omegaUp blog</title>
 <meta name=description content><link rel=canonical href=https://blog.omegaup.com/tags/pavel-herrera/ itemprop=url><meta property="og:title" content="Pavel Herrera"><meta property="og:description" content><meta property="og:type" content="website"><meta property="og:url" content="https://blog.omegaup.com/tags/pavel-herrera/"><meta itemprop=name content="Pavel Herrera"><meta itemprop=datePublished content="2013-01-07T16:08:32+00:00"><meta itemprop=dateModified content="2013-01-07T16:08:32+00:00"><meta name=twitter:card content="summary"><meta name=twitter:title content="Pavel Herrera"><link rel=preload href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css as=style integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/compiled/main.min.736f2e231221742ee6f264e8e8f492f98cc889cd85a92cb51f0d2f311ab00e1e.css rel=stylesheet integrity="sha256-c28uIxIhdC7m8mTo6PSS+YzIic2FqSy1Hw0vMRqwDh4="><link href=/css/custom.min.e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855.css rel=stylesheet integrity="sha256-47DEQpj8HBSa+/TImW+5JCeuQeRkm5NMpJWZG3hSuFU="><script>const defaultTheme="system",setDarkTheme=()=>{document.documentElement.classList.add("dark"),document.documentElement.style.colorScheme="dark"},setLightTheme=()=>{document.documentElement.classList.remove("dark"),document.documentElement.style.colorScheme="light"};"color-theme"in localStorage?localStorage.getItem("color-theme")==="dark"?setDarkTheme():setLightTheme():(defaultTheme==="dark"?setDarkTheme():setLightTheme(),defaultTheme==="system"&&(window.matchMedia("(prefers-color-scheme: dark)").matches?setDarkTheme():setLightTheme()))</script></head><body dir=ltr><div class="nav-container hx-sticky hx-top-0 hx-z-20 hx-w-full hx-bg-transparent print:hx-hidden"><div class="nav-container-blur hx-pointer-events-none hx-absolute hx-z-[-1] hx-h-full hx-w-full hx-bg-white dark:hx-bg-dark hx-shadow-[0_2px_4px_rgba(0,0,0,.02),0_1px_0_rgba(0,0,0,.06)] contrast-more:hx-shadow-[0_0_0_1px_#000] dark:hx-shadow-[0_-1px_0_rgba(255,255,255,.1)_inset] contrast-more:dark:hx-shadow-[0_0_0_1px_#fff]"></div><nav class="hx-mx-auto hx-flex hx-items-center hx-justify-end hx-gap-2 hx-h-16 hx-px-6 hx-max-w-[90rem]"><a class="hx-flex hx-items-center hover:hx-opacity-75 ltr:hx-mr-auto rtl:hx-ml-auto" href=/><img class="hx-block dark:hx-hidden" src=/logo/%ce%a9Up.png alt="omegaUp blog" height=36 width=70>
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diff --git a/tags/poema-equino/index.html b/tags/poema-equino/index.html
index ba30739..bbad6d2 100644
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diff --git a/tags/policies/index.html b/tags/policies/index.html
index df1a19b..fe11945 100644
--- a/tags/policies/index.html
+++ b/tags/policies/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/preselectivo-ioi-2015/index.html b/tags/preselectivo-ioi-2015/index.html
index ac5b18d..f7736d3 100644
--- a/tags/preselectivo-ioi-2015/index.html
+++ b/tags/preselectivo-ioi-2015/index.html
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diff --git a/tags/preselectivo/index.html b/tags/preselectivo/index.html
index f1ea749..4d18a86 100644
--- a/tags/preselectivo/index.html
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diff --git a/tags/preselectivo/index.xml b/tags/preselectivo/index.xml
index 701d603..e7a2b95 100644
--- a/tags/preselectivo/index.xml
+++ b/tags/preselectivo/index.xml
@@ -219,11 +219,11 @@
 &lt;p>$latex \mathrm{dp}_r=\mathrm{interesante}(r)\ \mathrm{si}\ \Sigma_h\mathrm{dp}_h=0$ $latex \mathrm{dp}_r = \Sigma_h\mathrm{dp}_h+1\ \mathrm{si}\ \Sigma_c\mathrm{dp}_h&amp;gt;0$&lt;/p>
 &lt;p>$latex h$ es un hijo de $latex r$. La arista extra $latex (u,v)$ en el ciclo $latex c$ permite usar otros caminos a lo largo de $latex c$. Tales caminos deben conectar todos los nodos en $latex c$ que tengan nodos interesantes en su árbol después de quitar las aristas del ciclo $latex E-c$. Etiquetemos tales nodos con un uno y los demás nodos del $latex c$ con un cero. Para $latex E-(u,v)$ el ciclo sólo no cubre los últimos ceros. Para encontrar la solución sólo basta encontrar la secuencia de ceros más grande. En el siguiente diagrama, la arista que falta es $latex (u,v)$. La DP sólo no usa el último cero, pero es mejor no usar los dos ceros que están adyacentes.&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">0&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#f92672">/&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>\
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">1&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#960050;background-color:#1e0010">\\&lt;/span> &lt;span style="color:#f92672">/&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">1&lt;/span>&lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">0&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">0&lt;/span> &lt;span class="mi">1&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="o">/&lt;/span> &lt;span class="err">\&lt;/span>\
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">1&lt;/span> &lt;span class="mi">0&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="err">\\&lt;/span> &lt;span class="o">/&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">1&lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="mi">0&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
@@ -241,15 +241,15 @@ title="Copiar código"
 &lt;p>La solución a este problema consistía en programar el método descrito. Este método inherentemente está basado en la técnica de divide y vencerás.&lt;/p>
 &lt;p>A continuación, un pseudo-código que muestra la forma de llevar a cabo la transformación de un mapa de bits bidimensional a la forma reducida:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si todos los elementos en mapaDeBits son iguales
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Imprime el valor y termina
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si no
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Imprime D
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits.superiorIzquierdo)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits.superiorDerecho)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits.inferiorIzquierdo)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits.inferiorDerecho)
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">todos&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">elementos&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">mapaDeBits&lt;/span> &lt;span class="n">son&lt;/span> &lt;span class="n">iguales&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Imprime&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">valor&lt;/span> &lt;span class="n">y&lt;/span> &lt;span class="n">termina&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">no&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Imprime&lt;/span> &lt;span class="n">D&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">superiorIzquierdo&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">superiorDerecho&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">inferiorIzquierdo&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">inferiorDerecho&lt;/span>&lt;span class="p">)&lt;/span>
 &lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
@@ -262,14 +262,14 @@ title="Copiar código"
 &lt;/div>
 &lt;p>El método para hacer la transformación inversa es muy parecido, sólo que para imprimir la equivalencia hay que comenzar con un mapa de bits bidimensional que nos sirva de variable auxiliar para hacer la conversión. Esta variable auxiliar se puede declarar de manera global y, cuando el método recursivo termine, simplemente imprimir su contenido:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits, sección)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si mapaDeBits comienza con un valor
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Rellenar sección del mapa bidimensional con el valor
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si no
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.superiorIzquierda)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.superiorDerecha)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.inferiorIzquierda)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.inferiorDerecha)
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">mapaDeBits&lt;/span> &lt;span class="n">comienza&lt;/span> &lt;span class="n">con&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="n">valor&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Rellenar&lt;/span> &lt;span class="n">sección&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">mapa&lt;/span> &lt;span class="n">bidimensional&lt;/span> &lt;span class="n">con&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">valor&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">no&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">removerPrimerElemento&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">superiorIzquierda&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">removerPrimerElemento&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">superiorDerecha&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">removerPrimerElemento&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">inferiorIzquierda&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">removerPrimerElemento&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">inferiorDerecha&lt;/span>&lt;span class="p">)&lt;/span>
 &lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
@@ -345,102 +345,102 @@ title="Copiar código"
 &lt;p>La estrategia que yo personalmente seguí fue que cada que encontraba un nuevo estado, obtenía su &lt;a href="http://es.wikipedia.org/wiki/Funci%C3%B3n_hash" target="_blank" rel="noopener">hash&lt;/a> (que resultaba en un entero de 64 bits) y verificaba si no lo había visitado usando una tabla de hash&lt;a href="#note" >*&lt;/a>. Si no la había visitado, encontraba todos los estados vecinos (todos los tableros que resultaban de hacer un movimiento válido) y los guardaba en una fila de acuerdo a la cantidad de puntos (entre más puntos, más adelante en la fila). Luego, elegía aleatoriamente un estado de la fila dándole prioridad a los que estaban más adelante (pues son los que tienen mayor probabilidad de llegar a una buena solución), lo cual también me evitaba seguir un único camino donde me podría atorar. Repetí eso hasta que se me terminó la memoria de la computadora e imprimí la mejor solución.&lt;/p>
 &lt;p>A continuación, el pseudocódigo de la solución:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">class&lt;/span> &lt;span style="color:#a6e22e">Estado&lt;/span>&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">int&lt;/span> puntos &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">bool&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[N&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[N&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] tablero
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Estado padre &lt;span style="color:#f92672">=&lt;/span> null
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> def &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_init&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_(Estado p)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> puntos &lt;span style="color:#f92672">=&lt;/span> p.puntos
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> tablero &lt;span style="color:#f92672">=&lt;/span> p.tablero
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> padre &lt;span style="color:#f92672">=&lt;/span> p
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> def hash()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Puedes usar cualquier algoritmo que genere un entero de 64 bits
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># a partir de tablero y puntos. Este es el más sencillo.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> hash &lt;span style="color:#f92672">=&lt;/span> puntos
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">for&lt;/span> i in range(&lt;span style="color:#ae81ff">0&lt;/span>, N)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> hash &lt;span style="color:#f92672">=&lt;/span> ((hash &lt;span style="color:#f92672">&amp;lt;&amp;lt;&lt;/span> &lt;span style="color:#ae81ff">7&lt;/span>) &lt;span style="color:#f92672">|&lt;/span> (hash &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> &lt;span style="color:#ae81ff">53&lt;/span>)) &lt;span style="color:#f92672">^&lt;/span> tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> hash
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> def siguientes(queue&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#ae81ff">300&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] colas)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Para todas las celdas (i, j) del tablero...
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span> i in range(&lt;span style="color:#ae81ff">0&lt;/span>, N)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">for&lt;/span> j in range(&lt;span style="color:#ae81ff">0&lt;/span>, N)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Si la celda tiene una pieza...
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Para todos los vecinos contiguos (i+k, j+l)...
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span> k in range(&lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>, &lt;span style="color:#ae81ff">2&lt;/span>)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">for&lt;/span> l in range(&lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>, &lt;span style="color:#ae81ff">2&lt;/span>)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Asegúrate que se haya movido \_algo\_.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> k &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span> &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> l &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>&lt;span style="color:#f92672">:&lt;/span> &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Y que pueda brincar dentro del tablero.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> j &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> l &lt;span style="color:#f92672">&amp;lt;&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span> or j &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> l &lt;span style="color:#f92672">&amp;gt;=&lt;/span> N: &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Y que haya brincado una pieza.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> not tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i &lt;span style="color:#f92672">+&lt;/span> k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j &lt;span style="color:#f92672">+&lt;/span> l&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#f92672">:&lt;/span> &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Y que el lugar a donde brinca esté desocupado.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> l&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#f92672">:&lt;/span> &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> hijo &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#66d9ef">new&lt;/span> Estado(&lt;span style="color:#66d9ef">this&lt;/span>)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Aumenta la puntuación del hijo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> hijo.puntos&lt;span style="color:#f92672">++&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Borra la ficha original y la &amp;#34;comida&amp;#34;.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> hijo.tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> hijo.tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i &lt;span style="color:#f92672">+&lt;/span> k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j &lt;span style="color:#f92672">+&lt;/span> l&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>\
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> False
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Agrega la ficha en su posición final.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> hijo.tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> l&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> True
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Agrégala a la cola correspondiente.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[hijo.puntos&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].push(hijo)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>def elige&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_estado()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Número aleatorio entre 0 y 1.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> r &lt;span style="color:#f92672">=&lt;/span> (random() &lt;span style="color:#f92672">/&lt;/span> (&lt;span style="color:#66d9ef">float&lt;/span>)RAND&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_MAX)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># El índice de la última cola que estuvo llena.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> ultimolleno &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># La cola que se está considerando.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> x &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Elige la cola con mayores puntos que no esté vacía como
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># primera opción.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span> i in range(&lt;span style="color:#ae81ff">0&lt;/span>, N)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span> not colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].vacio()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> x &lt;span style="color:#f92672">=&lt;/span> i
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># La primer cola tiene probabilidad de 31% de ser elegida.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># La segunda cola tiene probabilidad de 21%, la tercera 14%,
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># la cuarta 10% y así sucesivamente.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">while&lt;/span> x &lt;span style="color:#f92672">&amp;gt;=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span> not colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[x&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].vacio()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ultimolleno &lt;span style="color:#f92672">=&lt;/span> x
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> x&lt;span style="color:#f92672">--&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> r &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*=&lt;/span> &lt;span style="color:#ae81ff">1.45&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span> r &lt;span style="color:#f92672">&amp;gt;=&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span> and ultimolleno &lt;span style="color:#f92672">!=&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span> &lt;span style="color:#66d9ef">break&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span> ultimolleno &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>&lt;span style="color:#f92672">:&lt;/span> &lt;span style="color:#66d9ef">return&lt;/span> Null
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[lastfull&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].pop()
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>queue&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#ae81ff">300&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] colas
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>hashtable estados&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_visitados
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#960050;background-color:#1e0010">\#&lt;/span> lee el estado original
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#ae81ff">0&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].push(estado&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_original)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Estado mejor &lt;span style="color:#f92672">=&lt;/span> estado&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_original
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">while&lt;/span> no&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_se&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_haya&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_terminado&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_la&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_memoria()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Estado s &lt;span style="color:#f92672">=&lt;/span> elige&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_estado()
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Si ya no hay más estados por visitar,
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># encontramos la respuesta óptima en algún punto.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> s &lt;span style="color:#f92672">==&lt;/span> Null: &lt;span style="color:#66d9ef">break&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Actualiza |mejor| si hay una respuesta mejor.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> mejor.puntos &lt;span style="color:#f92672">&amp;lt;&lt;/span> s.puntos: mejor &lt;span style="color:#f92672">=&lt;/span> s
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Repetir estados es malo.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> s.hash() in estados&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_visitados: &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> estados&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_visitados.add(s.hash())
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Agrega todos los vecinos.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> s.siguiente(colas)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#960050;background-color:#1e0010">\#&lt;/span> A partir de este punto, &lt;span style="color:#f92672">|&lt;/span>mejor&lt;span style="color:#f92672">|&lt;/span> contiene la mejor solución. Podemos
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e"># saber qué movimiento se hizo para llegar a él comparando las
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e"># diferencias entre el tablero de |mejor.padre| y |mejor|. Ya solo es
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e"># cuestión de imprimir el resultado y listo.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> Aquí mucha gente se va a quejar porque solo guardar el hash abre la puerta a que haya dos estados que puede tener hasta &lt;span style="color:#ae81ff">900&lt;/span> bits que tengan el mismo hash de &lt;span style="color:#ae81ff">64&lt;/span> bits (por el [principio del palomar](http:&lt;span style="color:#75715e">//es.wikipedia.org/wiki/Principio_del_palomar)) y esté considerando que ya se visitó un estado que en realidad es nuevo. Si haces las cuentas, la probabilidad de colisión es negligible: la cantidad de estados que podía visitar en mi computadora (27 millones) es significativamente más pequeña que el número de estados necesarios para que la probabilidad de colisión sea de 1% ($latex \\approx 10^{135}$, por la [paradoja del cumpleaños](http://es.wikipedia.org/wiki/Paradoja_del_cumplea%C3%B1os)).
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl">&lt;span class="k">class&lt;/span> &lt;span class="nc">Estado&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">int&lt;/span> &lt;span class="n">puntos&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">bool&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">N&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">N&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="n">tablero&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Estado&lt;/span> &lt;span class="n">padre&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">null&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">def&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="n">_&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_init&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">Estado&lt;/span> &lt;span class="n">p&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">puntos&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">p&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">puntos&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">tablero&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">p&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tablero&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">padre&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">p&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">def&lt;/span> &lt;span class="n">hash&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Puedes usar cualquier algoritmo que genere un entero de 64 bits
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># a partir de tablero y puntos. Este es el más sencillo.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">hash&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">puntos&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">for&lt;/span> &lt;span class="n">i&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">hash&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="p">((&lt;/span>&lt;span class="n">hash&lt;/span> &lt;span class="o">&amp;lt;&amp;lt;&lt;/span> &lt;span class="mi">7&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="o">|&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">hash&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="mi">53&lt;/span>&lt;span class="p">))&lt;/span> &lt;span class="o">^&lt;/span> &lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="n">hash&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">def&lt;/span> &lt;span class="n">siguientes&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">queue&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">300&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Para todas las celdas (i, j) del tablero...
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">for&lt;/span> &lt;span class="n">i&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">for&lt;/span> &lt;span class="n">j&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Si la celda tiene una pieza...
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Para todos los vecinos contiguos (i+k, j+l)...
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">for&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="mi">2&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">for&lt;/span> &lt;span class="n">l&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="mi">2&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Asegúrate que se haya movido \_algo\_.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">0&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="n">l&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="o">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Y que pueda brincar dentro del tablero.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">l&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="mi">0&lt;/span> &lt;span class="n">or&lt;/span> &lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">l&lt;/span> &lt;span class="o">&amp;gt;=&lt;/span> &lt;span class="nl">N&lt;/span>&lt;span class="p">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Y que haya brincado una pieza.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">not&lt;/span> &lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">l&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="o">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Y que el lugar a donde brinca esté desocupado.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">l&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="o">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">hijo&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="k">new&lt;/span> &lt;span class="n">Estado&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="k">this&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Aumenta la puntuación del hijo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">puntos&lt;/span>&lt;span class="o">++&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Borra la ficha original y la &amp;#34;comida&amp;#34;.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">l&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="err">\&lt;/span>\
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">False&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Agrega la ficha en su posición final.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">l&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">True&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Agrégala a la cola correspondiente.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">puntos&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">push&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">hijo&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">def&lt;/span> &lt;span class="n">elige&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_estado&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Número aleatorio entre 0 y 1.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">r&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">random&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="o">/&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="kt">float&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="n">RAND&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_MAX&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># El índice de la última cola que estuvo llena.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">ultimolleno&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># La cola que se está considerando.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">x&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Elige la cola con mayores puntos que no esté vacía como
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># primera opción.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">for&lt;/span> &lt;span class="n">i&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span> &lt;span class="n">not&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">vacio&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">x&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">i&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># La primer cola tiene probabilidad de 31% de ser elegida.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># La segunda cola tiene probabilidad de 21%, la tercera 14%,
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># la cuarta 10% y así sucesivamente.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">while&lt;/span> &lt;span class="n">x&lt;/span> &lt;span class="o">&amp;gt;=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span> &lt;span class="n">not&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">x&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">vacio&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ultimolleno&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">x&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">x&lt;/span>&lt;span class="o">--&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">r&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*=&lt;/span> &lt;span class="mf">1.45&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span> &lt;span class="n">r&lt;/span> &lt;span class="o">&amp;gt;=&lt;/span> &lt;span class="mi">1&lt;/span> &lt;span class="n">and&lt;/span> &lt;span class="n">ultimolleno&lt;/span> &lt;span class="o">!=&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span> &lt;span class="k">break&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span> &lt;span class="n">ultimolleno&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="o">:&lt;/span> &lt;span class="k">return&lt;/span> &lt;span class="n">Null&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">lastfull&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">pop&lt;/span>&lt;span class="p">()&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">queue&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">300&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="n">colas&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">hashtable&lt;/span> &lt;span class="n">estados&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_visitados&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="err">\#&lt;/span> &lt;span class="n">lee&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">estado&lt;/span> &lt;span class="n">original&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">push&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">estado&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_original&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Estado&lt;/span> &lt;span class="n">mejor&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">estado&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_original&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="k">while&lt;/span> &lt;span class="n">no&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_se&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_haya&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_terminado&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_la&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_memoria&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Estado&lt;/span> &lt;span class="n">s&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">elige&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_estado&lt;/span>&lt;span class="p">()&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Si ya no hay más estados por visitar,
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># encontramos la respuesta óptima en algún punto.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">s&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="nl">Null&lt;/span>&lt;span class="p">:&lt;/span> &lt;span class="k">break&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Actualiza |mejor| si hay una respuesta mejor.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">mejor&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">puntos&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">s&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="nl">puntos&lt;/span>&lt;span class="p">:&lt;/span> &lt;span class="n">mejor&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">s&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Repetir estados es malo.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">s&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">hash&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">estados&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="nl">_visitados&lt;/span>&lt;span class="p">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">estados&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_visitados&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">add&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">s&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">hash&lt;/span>&lt;span class="p">())&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Agrega todos los vecinos.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">s&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">siguiente&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">colas&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="err">\#&lt;/span> &lt;span class="n">A&lt;/span> &lt;span class="n">partir&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">este&lt;/span> &lt;span class="n">punto&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">|&lt;/span>&lt;span class="n">mejor&lt;/span>&lt;span class="o">|&lt;/span> &lt;span class="n">contiene&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">mejor&lt;/span> &lt;span class="n">solución&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">Podemos&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp"># saber qué movimiento se hizo para llegar a él comparando las
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp"># diferencias entre el tablero de |mejor.padre| y |mejor|. Ya solo es
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp"># cuestión de imprimir el resultado y listo.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">Aquí&lt;/span> &lt;span class="n">mucha&lt;/span> &lt;span class="n">gente&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">va&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="n">quejar&lt;/span> &lt;span class="n">porque&lt;/span> &lt;span class="n">solo&lt;/span> &lt;span class="n">guardar&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">hash&lt;/span> &lt;span class="n">abre&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">puerta&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">haya&lt;/span> &lt;span class="n">dos&lt;/span> &lt;span class="n">estados&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">puede&lt;/span> &lt;span class="n">tener&lt;/span> &lt;span class="n">hasta&lt;/span> &lt;span class="mi">900&lt;/span> &lt;span class="n">bits&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">tengan&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">mismo&lt;/span> &lt;span class="n">hash&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="mi">64&lt;/span> &lt;span class="n">bits&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">por&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="p">[&lt;/span>&lt;span class="n">principio&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">palomar&lt;/span>&lt;span class="p">](&lt;/span>&lt;span class="nl">http&lt;/span>&lt;span class="p">:&lt;/span>&lt;span class="c1">//es.wikipedia.org/wiki/Principio_del_palomar)) y esté considerando que ya se visitó un estado que en realidad es nuevo. Si haces las cuentas, la probabilidad de colisión es negligible: la cantidad de estados que podía visitar en mi computadora (27 millones) es significativamente más pequeña que el número de estados necesarios para que la probabilidad de colisión sea de 1% ($latex \\approx 10^{135}$, por la [paradoja del cumpleaños](http://es.wikipedia.org/wiki/Paradoja_del_cumplea%C3%B1os)).
 &lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
@@ -488,16 +488,16 @@ sea maxima siempre y cuando &lt;video autoplay muted loop>
 &lt;p>&lt;strong>Concurso:&lt;/strong> &lt;a href="https://omegaup.com/arena/problem/ubongo-3d" target="_blank" rel="noopener">Preselectivo para la IOI 2014, Etapa 1, Problemset 8&lt;/a> &lt;strong>Autor:&lt;/strong> Miguel Covarrubias &lt;strong>Fuente:&lt;/strong> Miguel Covarrubias&lt;/p>
 &lt;p>La solución pone piezas de manera recursiva mientras quepan en el tablero y no se empalmen.&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span>resuelve(pieza)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> si pieza &lt;span style="color:#f92672">&amp;gt;&lt;/span> P
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> regresa &lt;span style="color:#960050;background-color:#1e0010">“&lt;/span>Si&lt;span style="color:#960050;background-color:#1e0010">”&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> para cada rotación de la pieza
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> para cada casilla g del tablero
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> para cada cubo c de la pieza
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> si al poner c sobre g, la pieza queda dentro de los primeros &lt;span style="color:#ae81ff">2&lt;/span> niveles del tablero y no se empalma con otra pieza ya puesta entonces
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> marca las posiciones de los cubos de la pieza como ocupados
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> resuelve(pieza &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> desmarca los cubos de la pieza&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl">&lt;span class="n">resuelve&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">pieza&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">si&lt;/span> &lt;span class="n">pieza&lt;/span> &lt;span class="o">&amp;gt;&lt;/span> &lt;span class="n">P&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">regresa&lt;/span> &lt;span class="err">“&lt;/span>&lt;span class="n">Si&lt;/span>&lt;span class="err">”&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">para&lt;/span> &lt;span class="n">cada&lt;/span> &lt;span class="n">rotación&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">pieza&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">para&lt;/span> &lt;span class="n">cada&lt;/span> &lt;span class="n">casilla&lt;/span> &lt;span class="n">g&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">tablero&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">para&lt;/span> &lt;span class="n">cada&lt;/span> &lt;span class="n">cubo&lt;/span> &lt;span class="n">c&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">pieza&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">si&lt;/span> &lt;span class="n">al&lt;/span> &lt;span class="n">poner&lt;/span> &lt;span class="n">c&lt;/span> &lt;span class="n">sobre&lt;/span> &lt;span class="n">g&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">pieza&lt;/span> &lt;span class="n">queda&lt;/span> &lt;span class="n">dentro&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">primeros&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="n">niveles&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">tablero&lt;/span> &lt;span class="n">y&lt;/span> &lt;span class="n">no&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">empalma&lt;/span> &lt;span class="n">con&lt;/span> &lt;span class="n">otra&lt;/span> &lt;span class="n">pieza&lt;/span> &lt;span class="n">ya&lt;/span> &lt;span class="n">puesta&lt;/span> &lt;span class="n">entonces&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">marca&lt;/span> &lt;span class="n">las&lt;/span> &lt;span class="n">posiciones&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">cubos&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">pieza&lt;/span> &lt;span class="n">como&lt;/span> &lt;span class="n">ocupados&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">resuelve&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">pieza&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">1&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">desmarca&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">cubos&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">pieza&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
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diff --git a/tags/problemas/index.html b/tags/problemas/index.html
index 1ecbe59..87cb44d 100644
--- a/tags/problemas/index.html
+++ b/tags/problemas/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/problemset-1/index.html b/tags/problemset-1/index.html
index b169c06..a1e857e 100644
--- a/tags/problemset-1/index.html
+++ b/tags/problemset-1/index.html
@@ -1,6 +1,10 @@
 <!doctype html><html lang=es><head><meta charset=utf-8><meta name=viewport content="width=device-width,initial-scale=1"><meta name=robots content="index, follow"><link rel="icon shortcut" href=/favicon.ico sizes=32x32><link rel=icon href=/favicon.svg type=image/svg+xml><link rel=icon href=/favicon-dark.svg type=image/svg+xml media="(prefers-color-scheme: dark)"><link rel=icon href=/favicon-16x16.png type=image/png sizes=16x16><link rel=icon href=/favicon-32x32.png type=image/png sizes=32x32><link rel=apple-touch-icon href=/apple-touch-icon.png sizes=180x180><link fetchpriority=low href=/site.webmanifest rel=manifest><title>Problemset 1 – omegaUp blog</title>
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diff --git a/tags/problemset-5/index.html b/tags/problemset-5/index.html
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diff --git a/tags/problemset-7/index.html b/tags/problemset-7/index.html
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--- a/tags/problemset-7/index.html
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@@ -1,6 +1,10 @@
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diff --git a/tags/ranking/index.html b/tags/ranking/index.html
index bb862ab..81f6c0d 100644
--- a/tags/ranking/index.html
+++ b/tags/ranking/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/reportes/index.html b/tags/reportes/index.html
index 6d087b5..ad38ece 100644
--- a/tags/reportes/index.html
+++ b/tags/reportes/index.html
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diff --git a/tags/silvio/index.html b/tags/silvio/index.html
index 9058030..1e03e70 100644
--- a/tags/silvio/index.html
+++ b/tags/silvio/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/soluciones-preselectivo-2013/index.html b/tags/soluciones-preselectivo-2013/index.html
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--- a/tags/soluciones-preselectivo-2013/index.html
+++ b/tags/soluciones-preselectivo-2013/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/soluciones-preselectivo-2013/index.xml b/tags/soluciones-preselectivo-2013/index.xml
index ff84258..922aa63 100644
--- a/tags/soluciones-preselectivo-2013/index.xml
+++ b/tags/soluciones-preselectivo-2013/index.xml
@@ -66,11 +66,11 @@
 &lt;p>$latex \mathrm{dp}_r=\mathrm{interesante}(r)\ \mathrm{si}\ \Sigma_h\mathrm{dp}_h=0$ $latex \mathrm{dp}_r = \Sigma_h\mathrm{dp}_h+1\ \mathrm{si}\ \Sigma_c\mathrm{dp}_h&amp;gt;0$&lt;/p>
 &lt;p>$latex h$ es un hijo de $latex r$. La arista extra $latex (u,v)$ en el ciclo $latex c$ permite usar otros caminos a lo largo de $latex c$. Tales caminos deben conectar todos los nodos en $latex c$ que tengan nodos interesantes en su árbol después de quitar las aristas del ciclo $latex E-c$. Etiquetemos tales nodos con un uno y los demás nodos del $latex c$ con un cero. Para $latex E-(u,v)$ el ciclo sólo no cubre los últimos ceros. Para encontrar la solución sólo basta encontrar la secuencia de ceros más grande. En el siguiente diagrama, la arista que falta es $latex (u,v)$. La DP sólo no usa el último cero, pero es mejor no usar los dos ceros que están adyacentes.&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">0&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#f92672">/&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>\
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">1&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#960050;background-color:#1e0010">\\&lt;/span> &lt;span style="color:#f92672">/&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">1&lt;/span>&lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">0&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">0&lt;/span> &lt;span class="mi">1&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="o">/&lt;/span> &lt;span class="err">\&lt;/span>\
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">1&lt;/span> &lt;span class="mi">0&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="err">\\&lt;/span> &lt;span class="o">/&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">1&lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="mi">0&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
@@ -88,15 +88,15 @@ title="Copiar código"
 &lt;p>La solución a este problema consistía en programar el método descrito. Este método inherentemente está basado en la técnica de divide y vencerás.&lt;/p>
 &lt;p>A continuación, un pseudo-código que muestra la forma de llevar a cabo la transformación de un mapa de bits bidimensional a la forma reducida:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si todos los elementos en mapaDeBits son iguales
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Imprime el valor y termina
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si no
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Imprime D
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits.superiorIzquierdo)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits.superiorDerecho)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits.inferiorIzquierdo)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits.inferiorDerecho)
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">todos&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">elementos&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">mapaDeBits&lt;/span> &lt;span class="n">son&lt;/span> &lt;span class="n">iguales&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Imprime&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">valor&lt;/span> &lt;span class="n">y&lt;/span> &lt;span class="n">termina&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">no&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Imprime&lt;/span> &lt;span class="n">D&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">superiorIzquierdo&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">superiorDerecho&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">inferiorIzquierdo&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">inferiorDerecho&lt;/span>&lt;span class="p">)&lt;/span>
 &lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
@@ -109,14 +109,14 @@ title="Copiar código"
 &lt;/div>
 &lt;p>El método para hacer la transformación inversa es muy parecido, sólo que para imprimir la equivalencia hay que comenzar con un mapa de bits bidimensional que nos sirva de variable auxiliar para hacer la conversión. Esta variable auxiliar se puede declarar de manera global y, cuando el método recursivo termine, simplemente imprimir su contenido:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits, sección)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si mapaDeBits comienza con un valor
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Rellenar sección del mapa bidimensional con el valor
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si no
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.superiorIzquierda)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.superiorDerecha)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.inferiorIzquierda)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.inferiorDerecha)
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">mapaDeBits&lt;/span> &lt;span class="n">comienza&lt;/span> &lt;span class="n">con&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="n">valor&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Rellenar&lt;/span> &lt;span class="n">sección&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">mapa&lt;/span> &lt;span class="n">bidimensional&lt;/span> &lt;span class="n">con&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">valor&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">no&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">removerPrimerElemento&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">superiorIzquierda&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">removerPrimerElemento&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">superiorDerecha&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">removerPrimerElemento&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">inferiorIzquierda&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">removerPrimerElemento&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">inferiorDerecha&lt;/span>&lt;span class="p">)&lt;/span>
 &lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
@@ -188,7 +188,7 @@ title="Copiar código"
 &lt;h2>Para los 100 puntos&lt;span class="hx-absolute -hx-mt-20" id="para-los-100-puntos">&lt;/span>
 &lt;a href="#para-los-100-puntos" class="subheading-anchor" aria-label="Permalink for this section">&lt;/a>&lt;/h2>&lt;p>Esta solución era para aquellos que supieran hacer una búsqueda utilizando una cola de prioridad. La idea es que al sacar un elemento de la cola siempre nos dé aquel al que se puede llegar con la menor cantidad de movimientos. Este procedimiento es idéntico a una búsqueda en amplitud solo que se utiliza una cola de prioridad. En la solución hago uso de un montículo como cola de prioridad.&lt;/p>
 &lt;script src="https://gist.github.com/OlimpiadaMexicanadeInformatica/6559202.js">&lt;/script></description></item><item><title>Solución a "K-Arbol"</title><link>https://blog.omegaup.com/posts/solucion-a-k-arbol/</link><pubDate>Mon, 07 Jan 2013 17:37:40 +0000</pubDate><guid>https://blog.omegaup.com/posts/solucion-a-k-arbol/</guid><description>
-&lt;!-- raw HTML omitted -->
+&lt;!-- .Special { color: #118800; } .Constant { color: #339999; } .Type { color: #aaaa77; } .Statement { color: #ff6600; } .String { color: #22bb00; } .PreProc { color: #66bbbb; } .Comment { color: #9933cc; font-style: italic; } -->
 &lt;p>&lt;strong>Concurso:&lt;/strong> &lt;a href="https://omegaup.com/arena/IOI2013E1P5" target="_blank" rel="noopener">Preselectivo para la IOI 2013, Etapa 1, Examen 5&lt;/a> **Autor: **&lt;a href="mailto:lkt345@gmail.com" >Saul de Nova Caballero&lt;/a>&lt;/p>
 &lt;p>En pocas palabras el problema es, dado un árbol que se puede colorear, encuentra la menor solución satisfaciendo las restricciones dadas sobre los colores. Este problema es un caso particular de Graph Coloring(en español coloración de grafos), en donde el grafo es un árbol.&lt;/p>
 &lt;h1>Subcaso 1(10 puntos)&lt;/h1>&lt;p>Para el primer subcaso era posible hacer una búsqueda en profunidad sobre todos los nodos, encontrando la menor solución. Para guardar el árbol, era posible utilizar una matriz que guardara todos los colores posibles y entonces ver si era posible una solución con el menor color posible. La solución de este caso era trivial si se usaba una búsqueda exhaustiva.&lt;/p>
@@ -214,179 +214,179 @@ title="Copiar código"
 &lt;p>&lt;img src="https://blog.omegaup.com/images/linearizar.jpg" alt="" loading="lazy" />&lt;/p>
 &lt;p>Imagen obtenida de &lt;a href="http://aima.cs.berkeley.edu/newchap05.pdf" target="_blank" rel="noopener">http://aima.cs.berkeley.edu/newchap05.pdf&lt;/a>&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">1&lt;/span> &lt;span style="color:#75715e">// karbol100.cpp
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#75715e">// By Saul de Nova Caballero
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">3&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">4&lt;/span> &lt;span style="color:#75715e">//Librerias de la standard template library de c++(stl)
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">5&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>include &lt;span style="color:#f92672">&amp;lt;&lt;/span>algorithm&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">6&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>include &lt;span style="color:#f92672">&amp;lt;&lt;/span>cassert&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">7&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>include &lt;span style="color:#f92672">&amp;lt;&lt;/span>cstdio&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">8&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>include &lt;span style="color:#f92672">&amp;lt;&lt;/span>cstdlib&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">9&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>include &lt;span style="color:#f92672">&amp;lt;&lt;/span>cstring&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">10&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>include &lt;span style="color:#f92672">&amp;lt;&lt;/span>iostream&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">11&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>include &lt;span style="color:#f92672">&amp;lt;&lt;/span>list&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">12&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>include &lt;span style="color:#f92672">&amp;lt;&lt;/span>utility&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">13&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">14&lt;/span> &lt;span style="color:#66d9ef">using&lt;/span> &lt;span style="color:#66d9ef">namespace&lt;/span> std;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">15&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">16&lt;/span> &lt;span style="color:#75715e">//Iterador sobre estructuras de datos. En este caso listas de la stl
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">17&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>define TR(container, it) &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>\
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">18&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span>(typeof(container.begin()) it &lt;span style="color:#f92672">=&lt;/span> container.begin() ; it &lt;span style="color:#f92672">!=&lt;/span> container.end() ; &lt;span style="color:#f92672">++&lt;/span>it)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">19&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">20&lt;/span> &lt;span style="color:#75715e">//Definicion de un par de la stl
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">21&lt;/span> &lt;span style="color:#66d9ef">typedef&lt;/span> pair&lt;span style="color:#f92672">&amp;lt;&lt;/span>&lt;span style="color:#66d9ef">int&lt;/span>, &lt;span style="color:#66d9ef">int&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">&amp;gt;&lt;/span> pii;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">22&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">23&lt;/span> &lt;span style="color:#75715e">//Constantes del programa
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">24&lt;/span> &lt;span style="color:#66d9ef">const&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> MAXN &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">10002&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">25&lt;/span> &lt;span style="color:#66d9ef">const&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> MAXM &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">502&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">26&lt;/span> &lt;span style="color:#66d9ef">const&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> MAXMEM &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>MAXN;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">27&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">28&lt;/span> &lt;span style="color:#75715e">//Clase para definir los hijos del arbol
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">29&lt;/span> &lt;span style="color:#75715e">//Es una lista con todos los hijos de cada nodo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">30&lt;/span> &lt;span style="color:#66d9ef">class&lt;/span> &lt;span style="color:#a6e22e">Graph&lt;/span> {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">31&lt;/span> &lt;span style="color:#66d9ef">public&lt;/span> &lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">32&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> addNode(&lt;span style="color:#66d9ef">int&lt;/span> node, &lt;span style="color:#66d9ef">int&lt;/span> value) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">33&lt;/span> nodes&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[node&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].push&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_back(value);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">34&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">35&lt;/span> list&lt;span style="color:#f92672">&amp;lt;&lt;/span>&lt;span style="color:#66d9ef">int&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">&amp;gt;&lt;/span> nodes&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[MAXN&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>];
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">36&lt;/span> };
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">37&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">38&lt;/span> &lt;span style="color:#75715e">//Clase para cola de las busquedas en amplitud
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">39&lt;/span> &lt;span style="color:#75715e">//Es de tipo generica
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">40&lt;/span> &lt;span style="color:#66d9ef">template&lt;/span>&lt;span style="color:#f92672">&amp;lt;&lt;/span>&lt;span style="color:#66d9ef">class&lt;/span> &lt;span style="color:#a6e22e">T&lt;/span>&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">41&lt;/span> &lt;span style="color:#66d9ef">class&lt;/span> &lt;span style="color:#a6e22e">Queue&lt;/span> {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">42&lt;/span> &lt;span style="color:#66d9ef">public&lt;/span> &lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">43&lt;/span> Queue() { init(); }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">44&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> &lt;span style="color:#a6e22e">init&lt;/span>() { p1 &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>; p2 &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>; }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">45&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> &lt;span style="color:#a6e22e">push&lt;/span>(T val) { memory&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#f92672">++&lt;/span>p1&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> val; }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">46&lt;/span> T &lt;span style="color:#a6e22e">front&lt;/span>() { &lt;span style="color:#66d9ef">return&lt;/span> memory&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[p2&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]; }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">47&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> &lt;span style="color:#a6e22e">pop&lt;/span>() { p2&lt;span style="color:#f92672">++&lt;/span>; }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">48&lt;/span> &lt;span style="color:#66d9ef">bool&lt;/span> &lt;span style="color:#a6e22e">empty&lt;/span>() { &lt;span style="color:#66d9ef">return&lt;/span> (p1 &lt;span style="color:#f92672">&amp;lt;&lt;/span> p2); }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">49&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">50&lt;/span> &lt;span style="color:#66d9ef">private&lt;/span> &lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">51&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> p1, p2;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">52&lt;/span> T memory&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[MAXMEM&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>];
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">53&lt;/span> };
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">54&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">55&lt;/span> &lt;span style="color:#75715e">//Definicion de todas las variables del programa
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">56&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> N, M, C, &lt;span style="color:#75715e">//Variables dadas
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">57&lt;/span> allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[MAXN&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>], &lt;span style="color:#75715e">//La cantidad de colores posibles por nodo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">58&lt;/span> parents&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[MAXN&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>], &lt;span style="color:#75715e">//El padre de cada nodo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">59&lt;/span> colorAssigned&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[MAXN&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]; &lt;span style="color:#75715e">//El color que le asigne al final al nodo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">60&lt;/span> &lt;span style="color:#66d9ef">bool&lt;/span> allowedColors&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[MAXN&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[MAXM&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]; &lt;span style="color:#75715e">//Una matriz con todos los colores posibles por cada nodo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">61&lt;/span> list&lt;span style="color:#f92672">&amp;lt;&lt;/span>&lt;span style="color:#66d9ef">int&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">&amp;gt;&lt;/span> nodesOrder; &lt;span style="color:#75715e">//Una lista ordenada de mayor a menor por la profundidad de cada nodo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">62&lt;/span> Graph tree; &lt;span style="color:#75715e">//Mi arbol
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">63&lt;/span> Queue&lt;span style="color:#f92672">&amp;lt;&lt;/span>pii&lt;span style="color:#f92672">&amp;gt;&lt;/span> searchDepth; &lt;span style="color:#75715e">//Una cola para la busqueda
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">64&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">65&lt;/span> &lt;span style="color:#75715e">//Regresa el color valido por cada nodo permitiendo que un nodo no sea de un color
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">66&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> validColor(&lt;span style="color:#66d9ef">int&lt;/span> node, &lt;span style="color:#66d9ef">int&lt;/span> constraint &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">67&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span>(&lt;span style="color:#66d9ef">int&lt;/span> i &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>; i &lt;span style="color:#f92672">&amp;lt;&lt;/span> M; &lt;span style="color:#f92672">++&lt;/span>i) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">68&lt;/span> &lt;span style="color:#a6e22e">if&lt;/span>(allowedColors&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[node&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> constraint &lt;span style="color:#f92672">!=&lt;/span> i) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">69&lt;/span> &lt;span style="color:#66d9ef">return&lt;/span> i;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">70&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">71&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">72&lt;/span> &lt;span style="color:#66d9ef">return&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">73&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">74&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">75&lt;/span> &lt;span style="color:#75715e">//Funcion para la lectura de todas las variables y la inicializacion de las estructuras
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">76&lt;/span> &lt;span style="color:#75715e">//Los asserts son para probar que el codigo es correcto
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">77&lt;/span> &lt;span style="color:#f92672">/&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>Guarda en allowedColors los posibles colores por nodo en una matriz&lt;span style="color:#960050;background-color:#1e0010">\*/&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">78&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> read() {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">79&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> node, prohibited;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">80&lt;/span> &lt;span style="color:#a6e22e">scanf&lt;/span>(&lt;span style="color:#e6db74">&amp;#34;%d%d&amp;#34;&lt;/span>, &lt;span style="color:#f92672">&amp;amp;&lt;/span>N, &lt;span style="color:#f92672">&amp;amp;&lt;/span>M);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">81&lt;/span> &lt;span style="color:#a6e22e">assert&lt;/span>(&lt;span style="color:#ae81ff">1&lt;/span> &lt;span style="color:#f92672">&amp;lt;=&lt;/span> N &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> N &lt;span style="color:#f92672">&amp;lt;=&lt;/span> MAXN&lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">2&lt;/span>);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">82&lt;/span> allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#ae81ff">0&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> M;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">83&lt;/span> &lt;span style="color:#a6e22e">memset&lt;/span>(allowedColors, true, &lt;span style="color:#66d9ef">sizeof&lt;/span>(allowedColors));
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">84&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span>(&lt;span style="color:#66d9ef">int&lt;/span> k &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>; k &lt;span style="color:#f92672">&amp;lt;&lt;/span> N; &lt;span style="color:#f92672">++&lt;/span>k) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">85&lt;/span> &lt;span style="color:#a6e22e">scanf&lt;/span>(&lt;span style="color:#e6db74">&amp;#34;%d&amp;#34;&lt;/span>, &lt;span style="color:#f92672">&amp;amp;&lt;/span>node);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">86&lt;/span> &lt;span style="color:#a6e22e">assert&lt;/span>(&lt;span style="color:#ae81ff">0&lt;/span> &lt;span style="color:#f92672">&amp;lt;=&lt;/span> node &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> node &lt;span style="color:#f92672">&amp;lt;&lt;/span> N);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">87&lt;/span> parents&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> node;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">88&lt;/span> tree.addNode(node, k);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">89&lt;/span> allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> M;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">90&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">91&lt;/span> &lt;span style="color:#a6e22e">scanf&lt;/span>(&lt;span style="color:#e6db74">&amp;#34;%d&amp;#34;&lt;/span>, &lt;span style="color:#f92672">&amp;amp;&lt;/span>C);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">92&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span>(&lt;span style="color:#66d9ef">int&lt;/span> k &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>; k &lt;span style="color:#f92672">&amp;lt;&lt;/span> C; &lt;span style="color:#f92672">++&lt;/span>k) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">93&lt;/span> &lt;span style="color:#a6e22e">scanf&lt;/span>(&lt;span style="color:#e6db74">&amp;#34;%d%d&amp;#34;&lt;/span>, &lt;span style="color:#f92672">&amp;amp;&lt;/span>node, &lt;span style="color:#f92672">&amp;amp;&lt;/span>prohibited);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">94&lt;/span> &lt;span style="color:#a6e22e">assert&lt;/span>(&lt;span style="color:#ae81ff">0&lt;/span> &lt;span style="color:#f92672">&amp;lt;=&lt;/span> node &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> node &lt;span style="color:#f92672">&amp;lt;&lt;/span> N &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span> &lt;span style="color:#f92672">&amp;lt;=&lt;/span> prohibited &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> prohibited &lt;span style="color:#f92672">&amp;lt;&lt;/span> M);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">95&lt;/span> &lt;span style="color:#a6e22e">if&lt;/span>(allowedColors&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[node&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[prohibited&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]) { &lt;span style="color:#75715e">//Checa que los nodos no se repitan ya que se pueden repetir
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">96&lt;/span> allowedColors&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[node&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[prohibited&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> false;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">97&lt;/span> allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[node&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">--&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">98&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">99&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">100&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">101&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">102&lt;/span> &lt;span style="color:#f92672">/&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>Una busqueda en amplitud para &lt;span style="color:#e6db74">&amp;#34;linearizar el árbol&amp;#34;&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\*/&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">103&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> orderNodes() {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">104&lt;/span> searchDepth.push(make&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_pair(&lt;span style="color:#ae81ff">0&lt;/span>, &lt;span style="color:#ae81ff">0&lt;/span>));
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">105&lt;/span> &lt;span style="color:#a6e22e">while&lt;/span>(&lt;span style="color:#f92672">!&lt;/span>searchDepth.empty()) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">106&lt;/span> pii value &lt;span style="color:#f92672">=&lt;/span> searchDepth.front(); searchDepth.pop();
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">107&lt;/span> nodesOrder.push&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_front(value.first);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">108&lt;/span> TR(tree.nodes&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[value.first&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>], it) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">109&lt;/span> searchDepth.push(make&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_pair(&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it, value.second &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>));
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">110&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">111&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">112&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">113&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">114&lt;/span> &lt;span style="color:#f92672">/&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>Checa por cada nodo de mayor a menor en la linearizacion, los colores posibles por nodo que solo tiene un color posible&lt;span style="color:#960050;background-color:#1e0010">\*/&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">115&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> enforceArc() {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">116&lt;/span> &lt;span style="color:#a6e22e">TR&lt;/span>(nodesOrder, it) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">117&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> currNode &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">118&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> parent &lt;span style="color:#f92672">=&lt;/span> parents&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>];
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">119&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span>(currNode &lt;span style="color:#f92672">!=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">120&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span>(allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[currNode&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span> &lt;span style="color:#f92672">||&lt;/span> allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[parent&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">121&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span>(allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[parent&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">122&lt;/span> swap(currNode, parent);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">123&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">124&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> color &lt;span style="color:#f92672">=&lt;/span> validColor(currNode);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">125&lt;/span> &lt;span style="color:#75715e">//printf(&amp;#34;%d %d %d\\n&amp;#34;, currNode, parent, color);
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>&lt;span style="color:#ae81ff">126&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span>(allowedColors&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[parent&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[color&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">127&lt;/span> allowedColors&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[parent&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[color&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> false;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">128&lt;/span> allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[parent&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">--&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">129&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">130&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">131&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">132&lt;/span> &lt;span style="color:#75715e">//Si no hay colores posibles, no se puede resolver el mapa
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>&lt;span style="color:#ae81ff">133&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span>(allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[currNode&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">&amp;lt;=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">134&lt;/span> printf(&lt;span style="color:#e6db74">&amp;#34;-1&lt;/span>&lt;span style="color:#ae81ff">\\&lt;/span>&lt;span style="color:#e6db74">n&amp;#34;&lt;/span>);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">135&lt;/span> exit(&lt;span style="color:#ae81ff">0&lt;/span>);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">136&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">137&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">138&lt;/span> &lt;span style="color:#75715e">//Checa de nuevo si alguno de los colores no puede ser
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>&lt;span style="color:#ae81ff">139&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span>(&lt;span style="color:#66d9ef">int&lt;/span> k &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>; k &lt;span style="color:#f92672">&amp;lt;&lt;/span> N; &lt;span style="color:#f92672">++&lt;/span>k) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">140&lt;/span> &lt;span style="color:#a6e22e">if&lt;/span>(allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">141&lt;/span> printf(&lt;span style="color:#e6db74">&amp;#34;-1&lt;/span>&lt;span style="color:#ae81ff">\\&lt;/span>&lt;span style="color:#e6db74">n&amp;#34;&lt;/span>);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">142&lt;/span> exit(&lt;span style="color:#ae81ff">0&lt;/span>);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">143&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">144&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">145&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">146&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">147&lt;/span> &lt;span style="color:#75715e">//Hace un ciclo checando el menor color posible por nodo e imprime los colores menores
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>&lt;span style="color:#ae81ff">148&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> findSolution() {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">149&lt;/span> colorAssigned&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#ae81ff">0&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">150&lt;/span> list&lt;span style="color:#f92672">&amp;lt;&lt;/span>&lt;span style="color:#66d9ef">int&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">&amp;gt;::&lt;/span>iterator it &lt;span style="color:#f92672">=&lt;/span> nodesOrder.end();
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">151&lt;/span> &lt;span style="color:#66d9ef">do&lt;/span> {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">152&lt;/span> it &lt;span style="color:#f92672">--&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">153&lt;/span> &lt;span style="color:#a6e22e">assert&lt;/span>(&lt;span style="color:#ae81ff">0&lt;/span> &lt;span style="color:#f92672">&amp;lt;=&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it &lt;span style="color:#f92672">&amp;lt;&lt;/span> N);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">154&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> color &lt;span style="color:#f92672">=&lt;/span> validColor(&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">155&lt;/span> &lt;span style="color:#a6e22e">if&lt;/span>(colorAssigned&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[parents&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">==&lt;/span> color) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">156&lt;/span> color &lt;span style="color:#f92672">=&lt;/span> validColor(&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it, color);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">157&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">158&lt;/span> &lt;span style="color:#a6e22e">assert&lt;/span>(&lt;span style="color:#ae81ff">0&lt;/span> &lt;span style="color:#f92672">&amp;lt;=&lt;/span> color &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> color &lt;span style="color:#f92672">&amp;lt;&lt;/span> M);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">159&lt;/span> colorAssigned&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> color;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">160&lt;/span> } &lt;span style="color:#66d9ef">while&lt;/span>(it &lt;span style="color:#f92672">!=&lt;/span> nodesOrder.begin()) ;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">161&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">162&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span>(&lt;span style="color:#66d9ef">int&lt;/span> k &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>; k &lt;span style="color:#f92672">&amp;lt;&lt;/span> N; &lt;span style="color:#f92672">++&lt;/span>k) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">163&lt;/span> &lt;span style="color:#a6e22e">printf&lt;/span>(&lt;span style="color:#e6db74">&amp;#34;%d&lt;/span>&lt;span style="color:#ae81ff">\\&lt;/span>&lt;span style="color:#e6db74">n&amp;#34;&lt;/span>, colorAssigned&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">164&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">165&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">166&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">167&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> &lt;span style="color:#a6e22e">main&lt;/span>() {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">168&lt;/span> read();
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">169&lt;/span> orderNodes();
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">170&lt;/span> enforceArc();
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">171&lt;/span> findSolution();
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">172&lt;/span> &lt;span style="color:#66d9ef">return&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">173&lt;/span> }&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">1&lt;/span> &lt;span class="c1">// karbol100.cpp
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="c1">// By Saul de Nova Caballero
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">3&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">4&lt;/span> &lt;span class="c1">//Librerias de la standard template library de c++(stl)
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">5&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">include&lt;/span> &lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">algorithm&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">6&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">include&lt;/span> &lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">cassert&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">7&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">include&lt;/span> &lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">cstdio&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">8&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">include&lt;/span> &lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">cstdlib&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">9&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">include&lt;/span> &lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">cstring&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">10&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">include&lt;/span> &lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">iostream&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">11&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">include&lt;/span> &lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">list&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">12&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">include&lt;/span> &lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">utility&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">13&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">14&lt;/span> &lt;span class="k">using&lt;/span> &lt;span class="k">namespace&lt;/span> &lt;span class="n">std&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">15&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">16&lt;/span> &lt;span class="c1">//Iterador sobre estructuras de datos. En este caso listas de la stl
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">17&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">define&lt;/span> &lt;span class="n">TR&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">container&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">it&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="err">\&lt;/span>\
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">18&lt;/span> &lt;span class="k">for&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">typeof&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">container&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">begin&lt;/span>&lt;span class="p">())&lt;/span> &lt;span class="n">it&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">container&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">begin&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">;&lt;/span> &lt;span class="n">it&lt;/span> &lt;span class="o">!=&lt;/span> &lt;span class="n">container&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">end&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">;&lt;/span> &lt;span class="o">++&lt;/span>&lt;span class="n">it&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">19&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">20&lt;/span> &lt;span class="c1">//Definicion de un par de la stl
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">21&lt;/span> &lt;span class="k">typedef&lt;/span> &lt;span class="n">pair&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="kt">int&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="kt">int&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">&amp;gt;&lt;/span> &lt;span class="n">pii&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">22&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">23&lt;/span> &lt;span class="c1">//Constantes del programa
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">24&lt;/span> &lt;span class="k">const&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">MAXN&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">10002&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">25&lt;/span> &lt;span class="k">const&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">MAXM&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">502&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">26&lt;/span> &lt;span class="k">const&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">MAXMEM&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">2&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">MAXN&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">27&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">28&lt;/span> &lt;span class="c1">//Clase para definir los hijos del arbol
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">29&lt;/span> &lt;span class="c1">//Es una lista con todos los hijos de cada nodo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">30&lt;/span> &lt;span class="k">class&lt;/span> &lt;span class="nc">Graph&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">31&lt;/span> &lt;span class="k">public&lt;/span> &lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">32&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="n">addNode&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">node&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">value&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">33&lt;/span> &lt;span class="n">nodes&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">node&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">push&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_back&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">value&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">34&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">35&lt;/span> &lt;span class="n">list&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="kt">int&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">&amp;gt;&lt;/span> &lt;span class="n">nodes&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">MAXN&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">];&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">36&lt;/span> &lt;span class="p">};&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">37&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">38&lt;/span> &lt;span class="c1">//Clase para cola de las busquedas en amplitud
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">39&lt;/span> &lt;span class="c1">//Es de tipo generica
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">40&lt;/span> &lt;span class="k">template&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="k">class&lt;/span> &lt;span class="nc">T&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">41&lt;/span> &lt;span class="k">class&lt;/span> &lt;span class="nc">Queue&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">42&lt;/span> &lt;span class="k">public&lt;/span> &lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">43&lt;/span> &lt;span class="n">Queue&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span> &lt;span class="n">init&lt;/span>&lt;span class="p">();&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">44&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="nf">init&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span> &lt;span class="n">p1&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">p2&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">1&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">45&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="nf">push&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">T&lt;/span> &lt;span class="n">val&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span> &lt;span class="n">memory&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="o">++&lt;/span>&lt;span class="n">p1&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">val&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">46&lt;/span> &lt;span class="n">T&lt;/span> &lt;span class="nf">front&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span> &lt;span class="k">return&lt;/span> &lt;span class="n">memory&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">p2&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">];&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">47&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="nf">pop&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span> &lt;span class="n">p2&lt;/span>&lt;span class="o">++&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">48&lt;/span> &lt;span class="kt">bool&lt;/span> &lt;span class="nf">empty&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span> &lt;span class="k">return&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">p1&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">p2&lt;/span>&lt;span class="p">);&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">49&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">50&lt;/span> &lt;span class="k">private&lt;/span> &lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">51&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">p1&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">p2&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">52&lt;/span> &lt;span class="n">T&lt;/span> &lt;span class="n">memory&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">MAXMEM&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">];&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">53&lt;/span> &lt;span class="p">};&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">54&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">55&lt;/span> &lt;span class="c1">//Definicion de todas las variables del programa
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">56&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">M&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">C&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="c1">//Variables dadas
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">57&lt;/span> &lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">MAXN&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">],&lt;/span> &lt;span class="c1">//La cantidad de colores posibles por nodo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">58&lt;/span> &lt;span class="n">parents&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">MAXN&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">],&lt;/span> &lt;span class="c1">//El padre de cada nodo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">59&lt;/span> &lt;span class="n">colorAssigned&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">MAXN&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">];&lt;/span> &lt;span class="c1">//El color que le asigne al final al nodo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">60&lt;/span> &lt;span class="kt">bool&lt;/span> &lt;span class="n">allowedColors&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">MAXN&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">MAXM&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">];&lt;/span> &lt;span class="c1">//Una matriz con todos los colores posibles por cada nodo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">61&lt;/span> &lt;span class="n">list&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="kt">int&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">&amp;gt;&lt;/span> &lt;span class="n">nodesOrder&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="c1">//Una lista ordenada de mayor a menor por la profundidad de cada nodo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">62&lt;/span> &lt;span class="n">Graph&lt;/span> &lt;span class="n">tree&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="c1">//Mi arbol
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">63&lt;/span> &lt;span class="n">Queue&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">pii&lt;/span>&lt;span class="o">&amp;gt;&lt;/span> &lt;span class="n">searchDepth&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="c1">//Una cola para la busqueda
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">64&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">65&lt;/span> &lt;span class="c1">//Regresa el color valido por cada nodo permitiendo que un nodo no sea de un color
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">66&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">validColor&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">node&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">constraint&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">67&lt;/span> &lt;span class="k">for&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">i&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">i&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">M&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="o">++&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">68&lt;/span> &lt;span class="nf">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColors&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">node&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="n">constraint&lt;/span> &lt;span class="o">!=&lt;/span> &lt;span class="n">i&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">69&lt;/span> &lt;span class="k">return&lt;/span> &lt;span class="n">i&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">70&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">71&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">72&lt;/span> &lt;span class="k">return&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">73&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">74&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">75&lt;/span> &lt;span class="c1">//Funcion para la lectura de todas las variables y la inicializacion de las estructuras
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">76&lt;/span> &lt;span class="c1">//Los asserts son para probar que el codigo es correcto
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">77&lt;/span> &lt;span class="o">/&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">Guarda&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">allowedColors&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">posibles&lt;/span> &lt;span class="n">colores&lt;/span> &lt;span class="n">por&lt;/span> &lt;span class="n">nodo&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">una&lt;/span> &lt;span class="n">matriz&lt;/span>&lt;span class="err">\*/&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">78&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="n">read&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">79&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">node&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">prohibited&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">80&lt;/span> &lt;span class="nf">scanf&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="s">&amp;#34;%d%d&amp;#34;&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">&amp;amp;&lt;/span>&lt;span class="n">N&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">&amp;amp;&lt;/span>&lt;span class="n">M&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">81&lt;/span> &lt;span class="nf">assert&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">1&lt;/span> &lt;span class="o">&amp;lt;=&lt;/span> &lt;span class="n">N&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="n">N&lt;/span> &lt;span class="o">&amp;lt;=&lt;/span> &lt;span class="n">MAXN&lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="mi">2&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">82&lt;/span> &lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">M&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">83&lt;/span> &lt;span class="nf">memset&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColors&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="nb">true&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="k">sizeof&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColors&lt;/span>&lt;span class="p">));&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">84&lt;/span> &lt;span class="k">for&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">1&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="o">++&lt;/span>&lt;span class="n">k&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">85&lt;/span> &lt;span class="nf">scanf&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="s">&amp;#34;%d&amp;#34;&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">&amp;amp;&lt;/span>&lt;span class="n">node&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">86&lt;/span> &lt;span class="nf">assert&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span> &lt;span class="o">&amp;lt;=&lt;/span> &lt;span class="n">node&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="n">node&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">87&lt;/span> &lt;span class="n">parents&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">node&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">88&lt;/span> &lt;span class="n">tree&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">addNode&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">node&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">89&lt;/span> &lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">M&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">90&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">91&lt;/span> &lt;span class="nf">scanf&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="s">&amp;#34;%d&amp;#34;&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">&amp;amp;&lt;/span>&lt;span class="n">C&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">92&lt;/span> &lt;span class="k">for&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">C&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="o">++&lt;/span>&lt;span class="n">k&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">93&lt;/span> &lt;span class="nf">scanf&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="s">&amp;#34;%d%d&amp;#34;&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">&amp;amp;&lt;/span>&lt;span class="n">node&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">&amp;amp;&lt;/span>&lt;span class="n">prohibited&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">94&lt;/span> &lt;span class="nf">assert&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span> &lt;span class="o">&amp;lt;=&lt;/span> &lt;span class="n">node&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="n">node&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">N&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="mi">0&lt;/span> &lt;span class="o">&amp;lt;=&lt;/span> &lt;span class="n">prohibited&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="n">prohibited&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">M&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">95&lt;/span> &lt;span class="nf">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColors&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">node&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">prohibited&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">])&lt;/span> &lt;span class="p">{&lt;/span> &lt;span class="c1">//Checa que los nodos no se repitan ya que se pueden repetir
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">96&lt;/span> &lt;span class="n">allowedColors&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">node&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">prohibited&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="nb">false&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">97&lt;/span> &lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">node&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">--&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">98&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">99&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">100&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">101&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">102&lt;/span> &lt;span class="o">/&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">Una&lt;/span> &lt;span class="n">busqueda&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">amplitud&lt;/span> &lt;span class="n">para&lt;/span> &lt;span class="s">&amp;#34;linearizar el árbol&amp;#34;&lt;/span>&lt;span class="err">\*/&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">103&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="n">orderNodes&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">104&lt;/span> &lt;span class="n">searchDepth&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">push&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">make&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_pair&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">));&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">105&lt;/span> &lt;span class="nf">while&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="o">!&lt;/span>&lt;span class="n">searchDepth&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">empty&lt;/span>&lt;span class="p">())&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">106&lt;/span> &lt;span class="n">pii&lt;/span> &lt;span class="n">value&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">searchDepth&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">front&lt;/span>&lt;span class="p">();&lt;/span> &lt;span class="n">searchDepth&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">pop&lt;/span>&lt;span class="p">();&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">107&lt;/span> &lt;span class="n">nodesOrder&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">push&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_front&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">value&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">first&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">108&lt;/span> &lt;span class="n">TR&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">tree&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">nodes&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">value&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">first&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">],&lt;/span> &lt;span class="n">it&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">109&lt;/span> &lt;span class="n">searchDepth&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">push&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">make&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_pair&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">it&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">value&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">second&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">1&lt;/span>&lt;span class="p">));&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">110&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">111&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">112&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">113&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">114&lt;/span> &lt;span class="o">/&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">Checa&lt;/span> &lt;span class="n">por&lt;/span> &lt;span class="n">cada&lt;/span> &lt;span class="n">nodo&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">mayor&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="n">menor&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">linearizacion&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">colores&lt;/span> &lt;span class="n">posibles&lt;/span> &lt;span class="n">por&lt;/span> &lt;span class="n">nodo&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">solo&lt;/span> &lt;span class="n">tiene&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="n">color&lt;/span> &lt;span class="n">posible&lt;/span>&lt;span class="err">\*/&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">115&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="n">enforceArc&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">116&lt;/span> &lt;span class="nf">TR&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">nodesOrder&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">it&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">117&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">currNode&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">it&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">118&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">parent&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">parents&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">it&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">];&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">119&lt;/span> &lt;span class="k">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">currNode&lt;/span> &lt;span class="o">!=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">120&lt;/span> &lt;span class="k">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">currNode&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">1&lt;/span> &lt;span class="o">||&lt;/span> &lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">parent&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">1&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">121&lt;/span> &lt;span class="k">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">parent&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">1&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">122&lt;/span> &lt;span class="n">swap&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">currNode&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">parent&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">123&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">124&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">color&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">validColor&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">currNode&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">125&lt;/span> &lt;span class="c1">//printf(&amp;#34;%d %d %d\\n&amp;#34;, currNode, parent, color);
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span>&lt;span class="mi">126&lt;/span> &lt;span class="k">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColors&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">parent&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">color&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">])&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">127&lt;/span> &lt;span class="n">allowedColors&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">parent&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">color&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="nb">false&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">128&lt;/span> &lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">parent&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">--&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">129&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">130&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">131&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">132&lt;/span> &lt;span class="c1">//Si no hay colores posibles, no se puede resolver el mapa
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span>&lt;span class="mi">133&lt;/span> &lt;span class="k">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">currNode&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">&amp;lt;=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">134&lt;/span> &lt;span class="n">printf&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="s">&amp;#34;-1&lt;/span>&lt;span class="se">\\&lt;/span>&lt;span class="s">n&amp;#34;&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">135&lt;/span> &lt;span class="n">exit&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">136&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">137&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">138&lt;/span> &lt;span class="c1">//Checa de nuevo si alguno de los colores no puede ser
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span>&lt;span class="mi">139&lt;/span> &lt;span class="k">for&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="o">++&lt;/span>&lt;span class="n">k&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">140&lt;/span> &lt;span class="nf">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">141&lt;/span> &lt;span class="n">printf&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="s">&amp;#34;-1&lt;/span>&lt;span class="se">\\&lt;/span>&lt;span class="s">n&amp;#34;&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">142&lt;/span> &lt;span class="n">exit&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">143&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">144&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">145&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">146&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">147&lt;/span> &lt;span class="c1">//Hace un ciclo checando el menor color posible por nodo e imprime los colores menores
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span>&lt;span class="mi">148&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="n">findSolution&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">149&lt;/span> &lt;span class="n">colorAssigned&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">150&lt;/span> &lt;span class="n">list&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="kt">int&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">&amp;gt;::&lt;/span>&lt;span class="n">iterator&lt;/span> &lt;span class="n">it&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">nodesOrder&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">end&lt;/span>&lt;span class="p">();&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">151&lt;/span> &lt;span class="k">do&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">152&lt;/span> &lt;span class="n">it&lt;/span> &lt;span class="o">--&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">153&lt;/span> &lt;span class="nf">assert&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span> &lt;span class="o">&amp;lt;=&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">it&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">it&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">154&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">color&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">validColor&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">it&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">155&lt;/span> &lt;span class="nf">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">colorAssigned&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">parents&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">it&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="n">color&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">156&lt;/span> &lt;span class="n">color&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">validColor&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">it&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">color&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">157&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">158&lt;/span> &lt;span class="nf">assert&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span> &lt;span class="o">&amp;lt;=&lt;/span> &lt;span class="n">color&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="n">color&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">M&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">159&lt;/span> &lt;span class="n">colorAssigned&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">it&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">color&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">160&lt;/span> &lt;span class="p">}&lt;/span> &lt;span class="k">while&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">it&lt;/span> &lt;span class="o">!=&lt;/span> &lt;span class="n">nodesOrder&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">begin&lt;/span>&lt;span class="p">())&lt;/span> &lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">161&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">162&lt;/span> &lt;span class="k">for&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="o">++&lt;/span>&lt;span class="n">k&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">163&lt;/span> &lt;span class="nf">printf&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="s">&amp;#34;%d&lt;/span>&lt;span class="se">\\&lt;/span>&lt;span class="s">n&amp;#34;&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">colorAssigned&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">164&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">165&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">166&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">167&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="nf">main&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">168&lt;/span> &lt;span class="n">read&lt;/span>&lt;span class="p">();&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">169&lt;/span> &lt;span class="n">orderNodes&lt;/span>&lt;span class="p">();&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">170&lt;/span> &lt;span class="n">enforceArc&lt;/span>&lt;span class="p">();&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">171&lt;/span> &lt;span class="n">findSolution&lt;/span>&lt;span class="p">();&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">172&lt;/span> &lt;span class="k">return&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">173&lt;/span> &lt;span class="p">}&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
@@ -514,36 +514,36 @@ termina()&lt;/p>
 &lt;p>Si tomamos la misma idea pero ahora teniendo en cuenta que existen rectángulos adhesivos, nos encontramos con el problema de que si rasgamos un cuadro necesitamos recordar el color la capa de papel que se encontraba debajo de la capa &amp;ldquo;visible&amp;rdquo;, y además podemos rasgar tantas veces como capas de papel hemos puesto. Con esto tenemos que necesitamos guardar un número de valores igual al número de capas que hemos puesto. Además tenemos que tener en cuenta el orden en el que fuimos poniendo las capas; esto es la última capa que pusimos debe de recordarse primero que la primera que pusimos, o en otras palabras: El primero que entras es el último que sale, así como el el último que entra es el primero que sale. Ese comportamiento lo encontramos en la estructura de datos Pila (Si no conoces la estructura de datos, puedes consultarla &lt;a href="http://es.wikipedia.org/wiki/Pila_%28inform%c3%a1tica%29" target="_blank" rel="noopener">acá&lt;/a>).&lt;/p>
 &lt;p>A continuación se encuentra la implementación de una estrúctura Pila que nos serviría para este problema:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">struct&lt;/span> &lt;span style="color:#a6e22e">Pila&lt;/span>{
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">char&lt;/span> arreglo[&lt;span style="color:#ae81ff">2002&lt;/span>];
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">short&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> posActual;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e">//Devuelve si la pila esta vacia
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">bool&lt;/span> &lt;span style="color:#a6e22e">estaVacia&lt;/span>(){
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> posActual &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e">//inserta un elemento en cima de la pila
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> &lt;span style="color:#a6e22e">push&lt;/span>(&lt;span style="color:#66d9ef">char&lt;/span> valor){
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> posActual&lt;span style="color:#f92672">++&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> arreglo[posActual] &lt;span style="color:#f92672">=&lt;/span> valor;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e">//quita el elemento de la cima de la pila y lo devuelve
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">char&lt;/span> &lt;span style="color:#a6e22e">pop&lt;/span>(){
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">char&lt;/span> valor &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span>(&lt;span style="color:#f92672">!&lt;/span>estaVacia()){
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> valor &lt;span style="color:#f92672">=&lt;/span> arreglo[posActual];
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> posActual&lt;span style="color:#f92672">--&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> valor;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e">//devuelve el valor del elemento de la cima de la pila
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">char&lt;/span> &lt;span style="color:#a6e22e">top&lt;/span>(){
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> arreglo[posActual];
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>};
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl">&lt;span class="k">struct&lt;/span> &lt;span class="nc">Pila&lt;/span>&lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">char&lt;/span> &lt;span class="n">arreglo&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">2002&lt;/span>&lt;span class="p">];&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">short&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">posActual&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="c1">//Devuelve si la pila esta vacia
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="kt">bool&lt;/span> &lt;span class="nf">estaVacia&lt;/span>&lt;span class="p">(){&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="n">posActual&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="c1">//inserta un elemento en cima de la pila
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="nf">push&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="kt">char&lt;/span> &lt;span class="n">valor&lt;/span>&lt;span class="p">){&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">posActual&lt;/span>&lt;span class="o">++&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">arreglo&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">posActual&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">valor&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="c1">//quita el elemento de la cima de la pila y lo devuelve
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="kt">char&lt;/span> &lt;span class="nf">pop&lt;/span>&lt;span class="p">(){&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">char&lt;/span> &lt;span class="n">valor&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="o">!&lt;/span>&lt;span class="n">estaVacia&lt;/span>&lt;span class="p">()){&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">valor&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">arreglo&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">posActual&lt;/span>&lt;span class="p">];&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">posActual&lt;/span>&lt;span class="o">--&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="n">valor&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="c1">//devuelve el valor del elemento de la cima de la pila
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="kt">char&lt;/span> &lt;span class="nf">top&lt;/span>&lt;span class="p">(){&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="n">arreglo&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">posActual&lt;/span>&lt;span class="p">];&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="p">};&lt;/span>
 &lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
diff --git a/tags/soluciones-preselectivo-2014/index.html b/tags/soluciones-preselectivo-2014/index.html
index f31b32e..79de956 100644
--- a/tags/soluciones-preselectivo-2014/index.html
+++ b/tags/soluciones-preselectivo-2014/index.html
@@ -1,6 +1,10 @@
 <!doctype html><html lang=es><head><meta charset=utf-8><meta name=viewport content="width=device-width,initial-scale=1"><meta name=robots content="index, follow"><link rel="icon shortcut" href=/favicon.ico sizes=32x32><link rel=icon href=/favicon.svg type=image/svg+xml><link rel=icon href=/favicon-dark.svg type=image/svg+xml media="(prefers-color-scheme: dark)"><link rel=icon href=/favicon-16x16.png type=image/png sizes=16x16><link rel=icon href=/favicon-32x32.png type=image/png sizes=32x32><link rel=apple-touch-icon href=/apple-touch-icon.png sizes=180x180><link fetchpriority=low href=/site.webmanifest rel=manifest><title>Soluciones Preselectivo 2014 – omegaUp blog</title>
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diff --git a/tags/soluciones-preselectivo-2014/index.xml b/tags/soluciones-preselectivo-2014/index.xml
index f7136f9..82aec82 100644
--- a/tags/soluciones-preselectivo-2014/index.xml
+++ b/tags/soluciones-preselectivo-2014/index.xml
@@ -109,102 +109,102 @@
 &lt;p>La estrategia que yo personalmente seguí fue que cada que encontraba un nuevo estado, obtenía su &lt;a href="http://es.wikipedia.org/wiki/Funci%C3%B3n_hash" target="_blank" rel="noopener">hash&lt;/a> (que resultaba en un entero de 64 bits) y verificaba si no lo había visitado usando una tabla de hash&lt;a href="#note" >*&lt;/a>. Si no la había visitado, encontraba todos los estados vecinos (todos los tableros que resultaban de hacer un movimiento válido) y los guardaba en una fila de acuerdo a la cantidad de puntos (entre más puntos, más adelante en la fila). Luego, elegía aleatoriamente un estado de la fila dándole prioridad a los que estaban más adelante (pues son los que tienen mayor probabilidad de llegar a una buena solución), lo cual también me evitaba seguir un único camino donde me podría atorar. Repetí eso hasta que se me terminó la memoria de la computadora e imprimí la mejor solución.&lt;/p>
 &lt;p>A continuación, el pseudocódigo de la solución:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">class&lt;/span> &lt;span style="color:#a6e22e">Estado&lt;/span>&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">int&lt;/span> puntos &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">bool&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[N&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[N&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] tablero
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Estado padre &lt;span style="color:#f92672">=&lt;/span> null
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> def &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_init&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_(Estado p)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> puntos &lt;span style="color:#f92672">=&lt;/span> p.puntos
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> tablero &lt;span style="color:#f92672">=&lt;/span> p.tablero
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> padre &lt;span style="color:#f92672">=&lt;/span> p
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> def hash()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Puedes usar cualquier algoritmo que genere un entero de 64 bits
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># a partir de tablero y puntos. Este es el más sencillo.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> hash &lt;span style="color:#f92672">=&lt;/span> puntos
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">for&lt;/span> i in range(&lt;span style="color:#ae81ff">0&lt;/span>, N)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> hash &lt;span style="color:#f92672">=&lt;/span> ((hash &lt;span style="color:#f92672">&amp;lt;&amp;lt;&lt;/span> &lt;span style="color:#ae81ff">7&lt;/span>) &lt;span style="color:#f92672">|&lt;/span> (hash &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> &lt;span style="color:#ae81ff">53&lt;/span>)) &lt;span style="color:#f92672">^&lt;/span> tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> hash
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> def siguientes(queue&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#ae81ff">300&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] colas)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Para todas las celdas (i, j) del tablero...
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span> i in range(&lt;span style="color:#ae81ff">0&lt;/span>, N)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">for&lt;/span> j in range(&lt;span style="color:#ae81ff">0&lt;/span>, N)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Si la celda tiene una pieza...
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Para todos los vecinos contiguos (i+k, j+l)...
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span> k in range(&lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>, &lt;span style="color:#ae81ff">2&lt;/span>)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">for&lt;/span> l in range(&lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>, &lt;span style="color:#ae81ff">2&lt;/span>)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Asegúrate que se haya movido \_algo\_.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> k &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span> &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> l &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>&lt;span style="color:#f92672">:&lt;/span> &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Y que pueda brincar dentro del tablero.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> j &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> l &lt;span style="color:#f92672">&amp;lt;&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span> or j &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> l &lt;span style="color:#f92672">&amp;gt;=&lt;/span> N: &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Y que haya brincado una pieza.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> not tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i &lt;span style="color:#f92672">+&lt;/span> k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j &lt;span style="color:#f92672">+&lt;/span> l&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#f92672">:&lt;/span> &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Y que el lugar a donde brinca esté desocupado.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> l&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#f92672">:&lt;/span> &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> hijo &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#66d9ef">new&lt;/span> Estado(&lt;span style="color:#66d9ef">this&lt;/span>)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Aumenta la puntuación del hijo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> hijo.puntos&lt;span style="color:#f92672">++&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Borra la ficha original y la &amp;#34;comida&amp;#34;.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> hijo.tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> hijo.tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i &lt;span style="color:#f92672">+&lt;/span> k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j &lt;span style="color:#f92672">+&lt;/span> l&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>\
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> False
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Agrega la ficha en su posición final.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> hijo.tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> l&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> True
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Agrégala a la cola correspondiente.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[hijo.puntos&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].push(hijo)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>def elige&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_estado()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Número aleatorio entre 0 y 1.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> r &lt;span style="color:#f92672">=&lt;/span> (random() &lt;span style="color:#f92672">/&lt;/span> (&lt;span style="color:#66d9ef">float&lt;/span>)RAND&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_MAX)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># El índice de la última cola que estuvo llena.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> ultimolleno &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># La cola que se está considerando.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> x &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Elige la cola con mayores puntos que no esté vacía como
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># primera opción.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span> i in range(&lt;span style="color:#ae81ff">0&lt;/span>, N)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span> not colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].vacio()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> x &lt;span style="color:#f92672">=&lt;/span> i
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># La primer cola tiene probabilidad de 31% de ser elegida.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># La segunda cola tiene probabilidad de 21%, la tercera 14%,
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># la cuarta 10% y así sucesivamente.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">while&lt;/span> x &lt;span style="color:#f92672">&amp;gt;=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span> not colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[x&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].vacio()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ultimolleno &lt;span style="color:#f92672">=&lt;/span> x
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> x&lt;span style="color:#f92672">--&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> r &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*=&lt;/span> &lt;span style="color:#ae81ff">1.45&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span> r &lt;span style="color:#f92672">&amp;gt;=&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span> and ultimolleno &lt;span style="color:#f92672">!=&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span> &lt;span style="color:#66d9ef">break&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span> ultimolleno &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>&lt;span style="color:#f92672">:&lt;/span> &lt;span style="color:#66d9ef">return&lt;/span> Null
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[lastfull&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].pop()
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>queue&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#ae81ff">300&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] colas
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>hashtable estados&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_visitados
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#960050;background-color:#1e0010">\#&lt;/span> lee el estado original
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#ae81ff">0&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].push(estado&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_original)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Estado mejor &lt;span style="color:#f92672">=&lt;/span> estado&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_original
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">while&lt;/span> no&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_se&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_haya&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_terminado&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_la&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_memoria()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Estado s &lt;span style="color:#f92672">=&lt;/span> elige&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_estado()
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Si ya no hay más estados por visitar,
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># encontramos la respuesta óptima en algún punto.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> s &lt;span style="color:#f92672">==&lt;/span> Null: &lt;span style="color:#66d9ef">break&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Actualiza |mejor| si hay una respuesta mejor.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> mejor.puntos &lt;span style="color:#f92672">&amp;lt;&lt;/span> s.puntos: mejor &lt;span style="color:#f92672">=&lt;/span> s
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Repetir estados es malo.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> s.hash() in estados&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_visitados: &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> estados&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_visitados.add(s.hash())
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Agrega todos los vecinos.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> s.siguiente(colas)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#960050;background-color:#1e0010">\#&lt;/span> A partir de este punto, &lt;span style="color:#f92672">|&lt;/span>mejor&lt;span style="color:#f92672">|&lt;/span> contiene la mejor solución. Podemos
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e"># saber qué movimiento se hizo para llegar a él comparando las
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e"># diferencias entre el tablero de |mejor.padre| y |mejor|. Ya solo es
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e"># cuestión de imprimir el resultado y listo.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> Aquí mucha gente se va a quejar porque solo guardar el hash abre la puerta a que haya dos estados que puede tener hasta &lt;span style="color:#ae81ff">900&lt;/span> bits que tengan el mismo hash de &lt;span style="color:#ae81ff">64&lt;/span> bits (por el [principio del palomar](http:&lt;span style="color:#75715e">//es.wikipedia.org/wiki/Principio_del_palomar)) y esté considerando que ya se visitó un estado que en realidad es nuevo. Si haces las cuentas, la probabilidad de colisión es negligible: la cantidad de estados que podía visitar en mi computadora (27 millones) es significativamente más pequeña que el número de estados necesarios para que la probabilidad de colisión sea de 1% ($latex \\approx 10^{135}$, por la [paradoja del cumpleaños](http://es.wikipedia.org/wiki/Paradoja_del_cumplea%C3%B1os)).
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl">&lt;span class="k">class&lt;/span> &lt;span class="nc">Estado&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">int&lt;/span> &lt;span class="n">puntos&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">bool&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">N&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">N&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="n">tablero&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Estado&lt;/span> &lt;span class="n">padre&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">null&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">def&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="n">_&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_init&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">Estado&lt;/span> &lt;span class="n">p&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">puntos&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">p&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">puntos&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">tablero&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">p&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tablero&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">padre&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">p&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">def&lt;/span> &lt;span class="n">hash&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Puedes usar cualquier algoritmo que genere un entero de 64 bits
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># a partir de tablero y puntos. Este es el más sencillo.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">hash&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">puntos&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">for&lt;/span> &lt;span class="n">i&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">hash&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="p">((&lt;/span>&lt;span class="n">hash&lt;/span> &lt;span class="o">&amp;lt;&amp;lt;&lt;/span> &lt;span class="mi">7&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="o">|&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">hash&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="mi">53&lt;/span>&lt;span class="p">))&lt;/span> &lt;span class="o">^&lt;/span> &lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="n">hash&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">def&lt;/span> &lt;span class="n">siguientes&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">queue&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">300&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Para todas las celdas (i, j) del tablero...
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">for&lt;/span> &lt;span class="n">i&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">for&lt;/span> &lt;span class="n">j&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Si la celda tiene una pieza...
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Para todos los vecinos contiguos (i+k, j+l)...
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">for&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="mi">2&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">for&lt;/span> &lt;span class="n">l&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="mi">2&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Asegúrate que se haya movido \_algo\_.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">0&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="n">l&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="o">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Y que pueda brincar dentro del tablero.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">l&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="mi">0&lt;/span> &lt;span class="n">or&lt;/span> &lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">l&lt;/span> &lt;span class="o">&amp;gt;=&lt;/span> &lt;span class="nl">N&lt;/span>&lt;span class="p">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Y que haya brincado una pieza.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">not&lt;/span> &lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">l&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="o">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Y que el lugar a donde brinca esté desocupado.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">l&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="o">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">hijo&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="k">new&lt;/span> &lt;span class="n">Estado&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="k">this&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Aumenta la puntuación del hijo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">puntos&lt;/span>&lt;span class="o">++&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Borra la ficha original y la &amp;#34;comida&amp;#34;.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">l&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="err">\&lt;/span>\
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">False&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Agrega la ficha en su posición final.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">l&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">True&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Agrégala a la cola correspondiente.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">puntos&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">push&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">hijo&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">def&lt;/span> &lt;span class="n">elige&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_estado&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Número aleatorio entre 0 y 1.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">r&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">random&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="o">/&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="kt">float&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="n">RAND&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_MAX&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># El índice de la última cola que estuvo llena.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">ultimolleno&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># La cola que se está considerando.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">x&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Elige la cola con mayores puntos que no esté vacía como
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># primera opción.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">for&lt;/span> &lt;span class="n">i&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span> &lt;span class="n">not&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">vacio&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">x&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">i&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># La primer cola tiene probabilidad de 31% de ser elegida.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># La segunda cola tiene probabilidad de 21%, la tercera 14%,
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># la cuarta 10% y así sucesivamente.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">while&lt;/span> &lt;span class="n">x&lt;/span> &lt;span class="o">&amp;gt;=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span> &lt;span class="n">not&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">x&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">vacio&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ultimolleno&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">x&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">x&lt;/span>&lt;span class="o">--&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">r&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*=&lt;/span> &lt;span class="mf">1.45&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span> &lt;span class="n">r&lt;/span> &lt;span class="o">&amp;gt;=&lt;/span> &lt;span class="mi">1&lt;/span> &lt;span class="n">and&lt;/span> &lt;span class="n">ultimolleno&lt;/span> &lt;span class="o">!=&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span> &lt;span class="k">break&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span> &lt;span class="n">ultimolleno&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="o">:&lt;/span> &lt;span class="k">return&lt;/span> &lt;span class="n">Null&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">lastfull&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">pop&lt;/span>&lt;span class="p">()&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">queue&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">300&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="n">colas&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">hashtable&lt;/span> &lt;span class="n">estados&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_visitados&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="err">\#&lt;/span> &lt;span class="n">lee&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">estado&lt;/span> &lt;span class="n">original&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">push&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">estado&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_original&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Estado&lt;/span> &lt;span class="n">mejor&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">estado&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_original&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="k">while&lt;/span> &lt;span class="n">no&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_se&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_haya&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_terminado&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_la&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_memoria&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Estado&lt;/span> &lt;span class="n">s&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">elige&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_estado&lt;/span>&lt;span class="p">()&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Si ya no hay más estados por visitar,
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># encontramos la respuesta óptima en algún punto.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">s&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="nl">Null&lt;/span>&lt;span class="p">:&lt;/span> &lt;span class="k">break&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Actualiza |mejor| si hay una respuesta mejor.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">mejor&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">puntos&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">s&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="nl">puntos&lt;/span>&lt;span class="p">:&lt;/span> &lt;span class="n">mejor&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">s&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Repetir estados es malo.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">s&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">hash&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">estados&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="nl">_visitados&lt;/span>&lt;span class="p">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">estados&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_visitados&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">add&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">s&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">hash&lt;/span>&lt;span class="p">())&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Agrega todos los vecinos.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">s&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">siguiente&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">colas&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="err">\#&lt;/span> &lt;span class="n">A&lt;/span> &lt;span class="n">partir&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">este&lt;/span> &lt;span class="n">punto&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">|&lt;/span>&lt;span class="n">mejor&lt;/span>&lt;span class="o">|&lt;/span> &lt;span class="n">contiene&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">mejor&lt;/span> &lt;span class="n">solución&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">Podemos&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp"># saber qué movimiento se hizo para llegar a él comparando las
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp"># diferencias entre el tablero de |mejor.padre| y |mejor|. Ya solo es
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp"># cuestión de imprimir el resultado y listo.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">Aquí&lt;/span> &lt;span class="n">mucha&lt;/span> &lt;span class="n">gente&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">va&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="n">quejar&lt;/span> &lt;span class="n">porque&lt;/span> &lt;span class="n">solo&lt;/span> &lt;span class="n">guardar&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">hash&lt;/span> &lt;span class="n">abre&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">puerta&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">haya&lt;/span> &lt;span class="n">dos&lt;/span> &lt;span class="n">estados&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">puede&lt;/span> &lt;span class="n">tener&lt;/span> &lt;span class="n">hasta&lt;/span> &lt;span class="mi">900&lt;/span> &lt;span class="n">bits&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">tengan&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">mismo&lt;/span> &lt;span class="n">hash&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="mi">64&lt;/span> &lt;span class="n">bits&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">por&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="p">[&lt;/span>&lt;span class="n">principio&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">palomar&lt;/span>&lt;span class="p">](&lt;/span>&lt;span class="nl">http&lt;/span>&lt;span class="p">:&lt;/span>&lt;span class="c1">//es.wikipedia.org/wiki/Principio_del_palomar)) y esté considerando que ya se visitó un estado que en realidad es nuevo. Si haces las cuentas, la probabilidad de colisión es negligible: la cantidad de estados que podía visitar en mi computadora (27 millones) es significativamente más pequeña que el número de estados necesarios para que la probabilidad de colisión sea de 1% ($latex \\approx 10^{135}$, por la [paradoja del cumpleaños](http://es.wikipedia.org/wiki/Paradoja_del_cumplea%C3%B1os)).
 &lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
@@ -252,16 +252,16 @@ sea maxima siempre y cuando &lt;video autoplay muted loop>
 &lt;p>&lt;strong>Concurso:&lt;/strong> &lt;a href="https://omegaup.com/arena/problem/ubongo-3d" target="_blank" rel="noopener">Preselectivo para la IOI 2014, Etapa 1, Problemset 8&lt;/a> &lt;strong>Autor:&lt;/strong> Miguel Covarrubias &lt;strong>Fuente:&lt;/strong> Miguel Covarrubias&lt;/p>
 &lt;p>La solución pone piezas de manera recursiva mientras quepan en el tablero y no se empalmen.&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span>resuelve(pieza)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> si pieza &lt;span style="color:#f92672">&amp;gt;&lt;/span> P
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> regresa &lt;span style="color:#960050;background-color:#1e0010">“&lt;/span>Si&lt;span style="color:#960050;background-color:#1e0010">”&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> para cada rotación de la pieza
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> para cada casilla g del tablero
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> para cada cubo c de la pieza
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> si al poner c sobre g, la pieza queda dentro de los primeros &lt;span style="color:#ae81ff">2&lt;/span> niveles del tablero y no se empalma con otra pieza ya puesta entonces
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> marca las posiciones de los cubos de la pieza como ocupados
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> resuelve(pieza &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> desmarca los cubos de la pieza&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl">&lt;span class="n">resuelve&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">pieza&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">si&lt;/span> &lt;span class="n">pieza&lt;/span> &lt;span class="o">&amp;gt;&lt;/span> &lt;span class="n">P&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">regresa&lt;/span> &lt;span class="err">“&lt;/span>&lt;span class="n">Si&lt;/span>&lt;span class="err">”&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">para&lt;/span> &lt;span class="n">cada&lt;/span> &lt;span class="n">rotación&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">pieza&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">para&lt;/span> &lt;span class="n">cada&lt;/span> &lt;span class="n">casilla&lt;/span> &lt;span class="n">g&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">tablero&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">para&lt;/span> &lt;span class="n">cada&lt;/span> &lt;span class="n">cubo&lt;/span> &lt;span class="n">c&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">pieza&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">si&lt;/span> &lt;span class="n">al&lt;/span> &lt;span class="n">poner&lt;/span> &lt;span class="n">c&lt;/span> &lt;span class="n">sobre&lt;/span> &lt;span class="n">g&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">pieza&lt;/span> &lt;span class="n">queda&lt;/span> &lt;span class="n">dentro&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">primeros&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="n">niveles&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">tablero&lt;/span> &lt;span class="n">y&lt;/span> &lt;span class="n">no&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">empalma&lt;/span> &lt;span class="n">con&lt;/span> &lt;span class="n">otra&lt;/span> &lt;span class="n">pieza&lt;/span> &lt;span class="n">ya&lt;/span> &lt;span class="n">puesta&lt;/span> &lt;span class="n">entonces&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">marca&lt;/span> &lt;span class="n">las&lt;/span> &lt;span class="n">posiciones&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">cubos&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">pieza&lt;/span> &lt;span class="n">como&lt;/span> &lt;span class="n">ocupados&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">resuelve&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">pieza&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">1&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">desmarca&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">cubos&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">pieza&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
diff --git a/tags/soluciones/index.html b/tags/soluciones/index.html
index b4b4b08..63a7d2e 100644
--- a/tags/soluciones/index.html
+++ b/tags/soluciones/index.html
@@ -1,6 +1,10 @@
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diff --git "a/tags/soluci\303\263n/index.html" "b/tags/soluci\303\263n/index.html"
index f4af5f8..d928d5f 100644
--- "a/tags/soluci\303\263n/index.html"
+++ "b/tags/soluci\303\263n/index.html"
@@ -1,6 +1,10 @@
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diff --git "a/tags/soluci\303\263n/index.xml" "b/tags/soluci\303\263n/index.xml"
index 5534b23..a754457 100644
--- "a/tags/soluci\303\263n/index.xml"
+++ "b/tags/soluci\303\263n/index.xml"
@@ -322,11 +322,11 @@
 &lt;p>$latex \mathrm{dp}_r=\mathrm{interesante}(r)\ \mathrm{si}\ \Sigma_h\mathrm{dp}_h=0$ $latex \mathrm{dp}_r = \Sigma_h\mathrm{dp}_h+1\ \mathrm{si}\ \Sigma_c\mathrm{dp}_h&amp;gt;0$&lt;/p>
 &lt;p>$latex h$ es un hijo de $latex r$. La arista extra $latex (u,v)$ en el ciclo $latex c$ permite usar otros caminos a lo largo de $latex c$. Tales caminos deben conectar todos los nodos en $latex c$ que tengan nodos interesantes en su árbol después de quitar las aristas del ciclo $latex E-c$. Etiquetemos tales nodos con un uno y los demás nodos del $latex c$ con un cero. Para $latex E-(u,v)$ el ciclo sólo no cubre los últimos ceros. Para encontrar la solución sólo basta encontrar la secuencia de ceros más grande. En el siguiente diagrama, la arista que falta es $latex (u,v)$. La DP sólo no usa el último cero, pero es mejor no usar los dos ceros que están adyacentes.&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">0&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#f92672">/&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>\
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">1&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#960050;background-color:#1e0010">\\&lt;/span> &lt;span style="color:#f92672">/&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">1&lt;/span>&lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">0&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">0&lt;/span> &lt;span class="mi">1&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="o">/&lt;/span> &lt;span class="err">\&lt;/span>\
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">1&lt;/span> &lt;span class="mi">0&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="err">\\&lt;/span> &lt;span class="o">/&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">1&lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="mi">0&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
@@ -344,15 +344,15 @@ title="Copiar código"
 &lt;p>La solución a este problema consistía en programar el método descrito. Este método inherentemente está basado en la técnica de divide y vencerás.&lt;/p>
 &lt;p>A continuación, un pseudo-código que muestra la forma de llevar a cabo la transformación de un mapa de bits bidimensional a la forma reducida:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si todos los elementos en mapaDeBits son iguales
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Imprime el valor y termina
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si no
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Imprime D
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits.superiorIzquierdo)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits.superiorDerecho)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits.inferiorIzquierdo)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits.inferiorDerecho)
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">todos&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">elementos&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">mapaDeBits&lt;/span> &lt;span class="n">son&lt;/span> &lt;span class="n">iguales&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Imprime&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">valor&lt;/span> &lt;span class="n">y&lt;/span> &lt;span class="n">termina&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">no&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Imprime&lt;/span> &lt;span class="n">D&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">superiorIzquierdo&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">superiorDerecho&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">inferiorIzquierdo&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">inferiorDerecho&lt;/span>&lt;span class="p">)&lt;/span>
 &lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
@@ -365,14 +365,14 @@ title="Copiar código"
 &lt;/div>
 &lt;p>El método para hacer la transformación inversa es muy parecido, sólo que para imprimir la equivalencia hay que comenzar con un mapa de bits bidimensional que nos sirva de variable auxiliar para hacer la conversión. Esta variable auxiliar se puede declarar de manera global y, cuando el método recursivo termine, simplemente imprimir su contenido:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits, sección)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si mapaDeBits comienza con un valor
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Rellenar sección del mapa bidimensional con el valor
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si no
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.superiorIzquierda)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.superiorDerecha)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.inferiorIzquierda)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.inferiorDerecha)
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">mapaDeBits&lt;/span> &lt;span class="n">comienza&lt;/span> &lt;span class="n">con&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="n">valor&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Rellenar&lt;/span> &lt;span class="n">sección&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">mapa&lt;/span> &lt;span class="n">bidimensional&lt;/span> &lt;span class="n">con&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">valor&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">no&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">removerPrimerElemento&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">superiorIzquierda&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">removerPrimerElemento&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">superiorDerecha&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">removerPrimerElemento&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">inferiorIzquierda&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">removerPrimerElemento&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">inferiorDerecha&lt;/span>&lt;span class="p">)&lt;/span>
 &lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
@@ -448,102 +448,102 @@ title="Copiar código"
 &lt;p>La estrategia que yo personalmente seguí fue que cada que encontraba un nuevo estado, obtenía su &lt;a href="http://es.wikipedia.org/wiki/Funci%C3%B3n_hash" target="_blank" rel="noopener">hash&lt;/a> (que resultaba en un entero de 64 bits) y verificaba si no lo había visitado usando una tabla de hash&lt;a href="#note" >*&lt;/a>. Si no la había visitado, encontraba todos los estados vecinos (todos los tableros que resultaban de hacer un movimiento válido) y los guardaba en una fila de acuerdo a la cantidad de puntos (entre más puntos, más adelante en la fila). Luego, elegía aleatoriamente un estado de la fila dándole prioridad a los que estaban más adelante (pues son los que tienen mayor probabilidad de llegar a una buena solución), lo cual también me evitaba seguir un único camino donde me podría atorar. Repetí eso hasta que se me terminó la memoria de la computadora e imprimí la mejor solución.&lt;/p>
 &lt;p>A continuación, el pseudocódigo de la solución:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">class&lt;/span> &lt;span style="color:#a6e22e">Estado&lt;/span>&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">int&lt;/span> puntos &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">bool&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[N&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[N&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] tablero
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Estado padre &lt;span style="color:#f92672">=&lt;/span> null
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> def &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_init&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_(Estado p)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> puntos &lt;span style="color:#f92672">=&lt;/span> p.puntos
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> tablero &lt;span style="color:#f92672">=&lt;/span> p.tablero
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> padre &lt;span style="color:#f92672">=&lt;/span> p
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> def hash()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Puedes usar cualquier algoritmo que genere un entero de 64 bits
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># a partir de tablero y puntos. Este es el más sencillo.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> hash &lt;span style="color:#f92672">=&lt;/span> puntos
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">for&lt;/span> i in range(&lt;span style="color:#ae81ff">0&lt;/span>, N)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> hash &lt;span style="color:#f92672">=&lt;/span> ((hash &lt;span style="color:#f92672">&amp;lt;&amp;lt;&lt;/span> &lt;span style="color:#ae81ff">7&lt;/span>) &lt;span style="color:#f92672">|&lt;/span> (hash &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> &lt;span style="color:#ae81ff">53&lt;/span>)) &lt;span style="color:#f92672">^&lt;/span> tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> hash
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> def siguientes(queue&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#ae81ff">300&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] colas)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Para todas las celdas (i, j) del tablero...
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span> i in range(&lt;span style="color:#ae81ff">0&lt;/span>, N)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">for&lt;/span> j in range(&lt;span style="color:#ae81ff">0&lt;/span>, N)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Si la celda tiene una pieza...
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Para todos los vecinos contiguos (i+k, j+l)...
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span> k in range(&lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>, &lt;span style="color:#ae81ff">2&lt;/span>)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">for&lt;/span> l in range(&lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>, &lt;span style="color:#ae81ff">2&lt;/span>)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Asegúrate que se haya movido \_algo\_.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> k &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span> &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> l &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>&lt;span style="color:#f92672">:&lt;/span> &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Y que pueda brincar dentro del tablero.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> j &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> l &lt;span style="color:#f92672">&amp;lt;&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span> or j &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> l &lt;span style="color:#f92672">&amp;gt;=&lt;/span> N: &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Y que haya brincado una pieza.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> not tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i &lt;span style="color:#f92672">+&lt;/span> k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j &lt;span style="color:#f92672">+&lt;/span> l&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#f92672">:&lt;/span> &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Y que el lugar a donde brinca esté desocupado.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> l&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#f92672">:&lt;/span> &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> hijo &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#66d9ef">new&lt;/span> Estado(&lt;span style="color:#66d9ef">this&lt;/span>)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Aumenta la puntuación del hijo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> hijo.puntos&lt;span style="color:#f92672">++&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Borra la ficha original y la &amp;#34;comida&amp;#34;.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> hijo.tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> hijo.tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i &lt;span style="color:#f92672">+&lt;/span> k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j &lt;span style="color:#f92672">+&lt;/span> l&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>\
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> False
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Agrega la ficha en su posición final.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> hijo.tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> l&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> True
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Agrégala a la cola correspondiente.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[hijo.puntos&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].push(hijo)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>def elige&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_estado()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Número aleatorio entre 0 y 1.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> r &lt;span style="color:#f92672">=&lt;/span> (random() &lt;span style="color:#f92672">/&lt;/span> (&lt;span style="color:#66d9ef">float&lt;/span>)RAND&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_MAX)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># El índice de la última cola que estuvo llena.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> ultimolleno &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># La cola que se está considerando.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> x &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Elige la cola con mayores puntos que no esté vacía como
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># primera opción.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span> i in range(&lt;span style="color:#ae81ff">0&lt;/span>, N)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span> not colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].vacio()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> x &lt;span style="color:#f92672">=&lt;/span> i
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># La primer cola tiene probabilidad de 31% de ser elegida.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># La segunda cola tiene probabilidad de 21%, la tercera 14%,
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># la cuarta 10% y así sucesivamente.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">while&lt;/span> x &lt;span style="color:#f92672">&amp;gt;=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span> not colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[x&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].vacio()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ultimolleno &lt;span style="color:#f92672">=&lt;/span> x
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> x&lt;span style="color:#f92672">--&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> r &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*=&lt;/span> &lt;span style="color:#ae81ff">1.45&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span> r &lt;span style="color:#f92672">&amp;gt;=&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span> and ultimolleno &lt;span style="color:#f92672">!=&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span> &lt;span style="color:#66d9ef">break&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span> ultimolleno &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>&lt;span style="color:#f92672">:&lt;/span> &lt;span style="color:#66d9ef">return&lt;/span> Null
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[lastfull&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].pop()
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>queue&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#ae81ff">300&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] colas
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>hashtable estados&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_visitados
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#960050;background-color:#1e0010">\#&lt;/span> lee el estado original
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#ae81ff">0&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].push(estado&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_original)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Estado mejor &lt;span style="color:#f92672">=&lt;/span> estado&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_original
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">while&lt;/span> no&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_se&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_haya&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_terminado&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_la&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_memoria()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Estado s &lt;span style="color:#f92672">=&lt;/span> elige&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_estado()
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Si ya no hay más estados por visitar,
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># encontramos la respuesta óptima en algún punto.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> s &lt;span style="color:#f92672">==&lt;/span> Null: &lt;span style="color:#66d9ef">break&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Actualiza |mejor| si hay una respuesta mejor.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> mejor.puntos &lt;span style="color:#f92672">&amp;lt;&lt;/span> s.puntos: mejor &lt;span style="color:#f92672">=&lt;/span> s
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Repetir estados es malo.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> s.hash() in estados&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_visitados: &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> estados&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_visitados.add(s.hash())
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Agrega todos los vecinos.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> s.siguiente(colas)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#960050;background-color:#1e0010">\#&lt;/span> A partir de este punto, &lt;span style="color:#f92672">|&lt;/span>mejor&lt;span style="color:#f92672">|&lt;/span> contiene la mejor solución. Podemos
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e"># saber qué movimiento se hizo para llegar a él comparando las
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e"># diferencias entre el tablero de |mejor.padre| y |mejor|. Ya solo es
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e"># cuestión de imprimir el resultado y listo.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> Aquí mucha gente se va a quejar porque solo guardar el hash abre la puerta a que haya dos estados que puede tener hasta &lt;span style="color:#ae81ff">900&lt;/span> bits que tengan el mismo hash de &lt;span style="color:#ae81ff">64&lt;/span> bits (por el [principio del palomar](http:&lt;span style="color:#75715e">//es.wikipedia.org/wiki/Principio_del_palomar)) y esté considerando que ya se visitó un estado que en realidad es nuevo. Si haces las cuentas, la probabilidad de colisión es negligible: la cantidad de estados que podía visitar en mi computadora (27 millones) es significativamente más pequeña que el número de estados necesarios para que la probabilidad de colisión sea de 1% ($latex \\approx 10^{135}$, por la [paradoja del cumpleaños](http://es.wikipedia.org/wiki/Paradoja_del_cumplea%C3%B1os)).
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl">&lt;span class="k">class&lt;/span> &lt;span class="nc">Estado&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">int&lt;/span> &lt;span class="n">puntos&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">bool&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">N&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">N&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="n">tablero&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Estado&lt;/span> &lt;span class="n">padre&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">null&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">def&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="n">_&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_init&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">Estado&lt;/span> &lt;span class="n">p&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">puntos&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">p&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">puntos&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">tablero&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">p&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tablero&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">padre&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">p&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">def&lt;/span> &lt;span class="n">hash&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Puedes usar cualquier algoritmo que genere un entero de 64 bits
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># a partir de tablero y puntos. Este es el más sencillo.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">hash&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">puntos&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">for&lt;/span> &lt;span class="n">i&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">hash&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="p">((&lt;/span>&lt;span class="n">hash&lt;/span> &lt;span class="o">&amp;lt;&amp;lt;&lt;/span> &lt;span class="mi">7&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="o">|&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">hash&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="mi">53&lt;/span>&lt;span class="p">))&lt;/span> &lt;span class="o">^&lt;/span> &lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="n">hash&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">def&lt;/span> &lt;span class="n">siguientes&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">queue&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">300&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Para todas las celdas (i, j) del tablero...
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">for&lt;/span> &lt;span class="n">i&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">for&lt;/span> &lt;span class="n">j&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Si la celda tiene una pieza...
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Para todos los vecinos contiguos (i+k, j+l)...
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">for&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="mi">2&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">for&lt;/span> &lt;span class="n">l&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="mi">2&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Asegúrate que se haya movido \_algo\_.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">0&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="n">l&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="o">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Y que pueda brincar dentro del tablero.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">l&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="mi">0&lt;/span> &lt;span class="n">or&lt;/span> &lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">l&lt;/span> &lt;span class="o">&amp;gt;=&lt;/span> &lt;span class="nl">N&lt;/span>&lt;span class="p">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Y que haya brincado una pieza.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">not&lt;/span> &lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">l&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="o">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Y que el lugar a donde brinca esté desocupado.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">l&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="o">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">hijo&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="k">new&lt;/span> &lt;span class="n">Estado&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="k">this&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Aumenta la puntuación del hijo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">puntos&lt;/span>&lt;span class="o">++&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Borra la ficha original y la &amp;#34;comida&amp;#34;.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">l&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="err">\&lt;/span>\
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">False&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Agrega la ficha en su posición final.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">l&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">True&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Agrégala a la cola correspondiente.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">puntos&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">push&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">hijo&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">def&lt;/span> &lt;span class="n">elige&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_estado&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Número aleatorio entre 0 y 1.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">r&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">random&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="o">/&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="kt">float&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="n">RAND&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_MAX&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># El índice de la última cola que estuvo llena.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">ultimolleno&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># La cola que se está considerando.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">x&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Elige la cola con mayores puntos que no esté vacía como
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># primera opción.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">for&lt;/span> &lt;span class="n">i&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span> &lt;span class="n">not&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">vacio&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">x&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">i&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># La primer cola tiene probabilidad de 31% de ser elegida.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># La segunda cola tiene probabilidad de 21%, la tercera 14%,
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># la cuarta 10% y así sucesivamente.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">while&lt;/span> &lt;span class="n">x&lt;/span> &lt;span class="o">&amp;gt;=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span> &lt;span class="n">not&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">x&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">vacio&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ultimolleno&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">x&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">x&lt;/span>&lt;span class="o">--&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">r&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*=&lt;/span> &lt;span class="mf">1.45&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span> &lt;span class="n">r&lt;/span> &lt;span class="o">&amp;gt;=&lt;/span> &lt;span class="mi">1&lt;/span> &lt;span class="n">and&lt;/span> &lt;span class="n">ultimolleno&lt;/span> &lt;span class="o">!=&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span> &lt;span class="k">break&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span> &lt;span class="n">ultimolleno&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="o">:&lt;/span> &lt;span class="k">return&lt;/span> &lt;span class="n">Null&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">lastfull&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">pop&lt;/span>&lt;span class="p">()&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">queue&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">300&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="n">colas&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">hashtable&lt;/span> &lt;span class="n">estados&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_visitados&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="err">\#&lt;/span> &lt;span class="n">lee&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">estado&lt;/span> &lt;span class="n">original&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">push&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">estado&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_original&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Estado&lt;/span> &lt;span class="n">mejor&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">estado&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_original&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="k">while&lt;/span> &lt;span class="n">no&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_se&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_haya&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_terminado&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_la&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_memoria&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Estado&lt;/span> &lt;span class="n">s&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">elige&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_estado&lt;/span>&lt;span class="p">()&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Si ya no hay más estados por visitar,
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># encontramos la respuesta óptima en algún punto.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">s&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="nl">Null&lt;/span>&lt;span class="p">:&lt;/span> &lt;span class="k">break&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Actualiza |mejor| si hay una respuesta mejor.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">mejor&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">puntos&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">s&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="nl">puntos&lt;/span>&lt;span class="p">:&lt;/span> &lt;span class="n">mejor&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">s&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Repetir estados es malo.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">s&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">hash&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">estados&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="nl">_visitados&lt;/span>&lt;span class="p">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">estados&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_visitados&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">add&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">s&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">hash&lt;/span>&lt;span class="p">())&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Agrega todos los vecinos.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">s&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">siguiente&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">colas&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="err">\#&lt;/span> &lt;span class="n">A&lt;/span> &lt;span class="n">partir&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">este&lt;/span> &lt;span class="n">punto&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">|&lt;/span>&lt;span class="n">mejor&lt;/span>&lt;span class="o">|&lt;/span> &lt;span class="n">contiene&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">mejor&lt;/span> &lt;span class="n">solución&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">Podemos&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp"># saber qué movimiento se hizo para llegar a él comparando las
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp"># diferencias entre el tablero de |mejor.padre| y |mejor|. Ya solo es
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp"># cuestión de imprimir el resultado y listo.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">Aquí&lt;/span> &lt;span class="n">mucha&lt;/span> &lt;span class="n">gente&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">va&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="n">quejar&lt;/span> &lt;span class="n">porque&lt;/span> &lt;span class="n">solo&lt;/span> &lt;span class="n">guardar&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">hash&lt;/span> &lt;span class="n">abre&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">puerta&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">haya&lt;/span> &lt;span class="n">dos&lt;/span> &lt;span class="n">estados&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">puede&lt;/span> &lt;span class="n">tener&lt;/span> &lt;span class="n">hasta&lt;/span> &lt;span class="mi">900&lt;/span> &lt;span class="n">bits&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">tengan&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">mismo&lt;/span> &lt;span class="n">hash&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="mi">64&lt;/span> &lt;span class="n">bits&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">por&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="p">[&lt;/span>&lt;span class="n">principio&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">palomar&lt;/span>&lt;span class="p">](&lt;/span>&lt;span class="nl">http&lt;/span>&lt;span class="p">:&lt;/span>&lt;span class="c1">//es.wikipedia.org/wiki/Principio_del_palomar)) y esté considerando que ya se visitó un estado que en realidad es nuevo. Si haces las cuentas, la probabilidad de colisión es negligible: la cantidad de estados que podía visitar en mi computadora (27 millones) es significativamente más pequeña que el número de estados necesarios para que la probabilidad de colisión sea de 1% ($latex \\approx 10^{135}$, por la [paradoja del cumpleaños](http://es.wikipedia.org/wiki/Paradoja_del_cumplea%C3%B1os)).
 &lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
@@ -591,16 +591,16 @@ sea maxima siempre y cuando &lt;video autoplay muted loop>
 &lt;p>&lt;strong>Concurso:&lt;/strong> &lt;a href="https://omegaup.com/arena/problem/ubongo-3d" target="_blank" rel="noopener">Preselectivo para la IOI 2014, Etapa 1, Problemset 8&lt;/a> &lt;strong>Autor:&lt;/strong> Miguel Covarrubias &lt;strong>Fuente:&lt;/strong> Miguel Covarrubias&lt;/p>
 &lt;p>La solución pone piezas de manera recursiva mientras quepan en el tablero y no se empalmen.&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span>resuelve(pieza)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> si pieza &lt;span style="color:#f92672">&amp;gt;&lt;/span> P
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> regresa &lt;span style="color:#960050;background-color:#1e0010">“&lt;/span>Si&lt;span style="color:#960050;background-color:#1e0010">”&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> para cada rotación de la pieza
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> para cada casilla g del tablero
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> para cada cubo c de la pieza
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> si al poner c sobre g, la pieza queda dentro de los primeros &lt;span style="color:#ae81ff">2&lt;/span> niveles del tablero y no se empalma con otra pieza ya puesta entonces
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> marca las posiciones de los cubos de la pieza como ocupados
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> resuelve(pieza &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> desmarca los cubos de la pieza&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl">&lt;span class="n">resuelve&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">pieza&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">si&lt;/span> &lt;span class="n">pieza&lt;/span> &lt;span class="o">&amp;gt;&lt;/span> &lt;span class="n">P&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">regresa&lt;/span> &lt;span class="err">“&lt;/span>&lt;span class="n">Si&lt;/span>&lt;span class="err">”&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">para&lt;/span> &lt;span class="n">cada&lt;/span> &lt;span class="n">rotación&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">pieza&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">para&lt;/span> &lt;span class="n">cada&lt;/span> &lt;span class="n">casilla&lt;/span> &lt;span class="n">g&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">tablero&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">para&lt;/span> &lt;span class="n">cada&lt;/span> &lt;span class="n">cubo&lt;/span> &lt;span class="n">c&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">pieza&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">si&lt;/span> &lt;span class="n">al&lt;/span> &lt;span class="n">poner&lt;/span> &lt;span class="n">c&lt;/span> &lt;span class="n">sobre&lt;/span> &lt;span class="n">g&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">pieza&lt;/span> &lt;span class="n">queda&lt;/span> &lt;span class="n">dentro&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">primeros&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="n">niveles&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">tablero&lt;/span> &lt;span class="n">y&lt;/span> &lt;span class="n">no&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">empalma&lt;/span> &lt;span class="n">con&lt;/span> &lt;span class="n">otra&lt;/span> &lt;span class="n">pieza&lt;/span> &lt;span class="n">ya&lt;/span> &lt;span class="n">puesta&lt;/span> &lt;span class="n">entonces&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">marca&lt;/span> &lt;span class="n">las&lt;/span> &lt;span class="n">posiciones&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">cubos&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">pieza&lt;/span> &lt;span class="n">como&lt;/span> &lt;span class="n">ocupados&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">resuelve&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">pieza&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">1&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">desmarca&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">cubos&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">pieza&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
diff --git a/tags/solution/index.html b/tags/solution/index.html
index 05f7c92..bdeb91b 100644
--- a/tags/solution/index.html
+++ b/tags/solution/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/solution/index.xml b/tags/solution/index.xml
index 7b508e5..2322ea3 100644
--- a/tags/solution/index.xml
+++ b/tags/solution/index.xml
@@ -410,11 +410,11 @@
 &lt;p>$latex \mathrm{dp}_r=\mathrm{interesante}(r)\ \mathrm{si}\ \Sigma_h\mathrm{dp}_h=0$ $latex \mathrm{dp}_r = \Sigma_h\mathrm{dp}_h+1\ \mathrm{si}\ \Sigma_c\mathrm{dp}_h&amp;gt;0$&lt;/p>
 &lt;p>$latex h$ es un hijo de $latex r$. La arista extra $latex (u,v)$ en el ciclo $latex c$ permite usar otros caminos a lo largo de $latex c$. Tales caminos deben conectar todos los nodos en $latex c$ que tengan nodos interesantes en su árbol después de quitar las aristas del ciclo $latex E-c$. Etiquetemos tales nodos con un uno y los demás nodos del $latex c$ con un cero. Para $latex E-(u,v)$ el ciclo sólo no cubre los últimos ceros. Para encontrar la solución sólo basta encontrar la secuencia de ceros más grande. En el siguiente diagrama, la arista que falta es $latex (u,v)$. La DP sólo no usa el último cero, pero es mejor no usar los dos ceros que están adyacentes.&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">0&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#f92672">/&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>\
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">1&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#960050;background-color:#1e0010">\\&lt;/span> &lt;span style="color:#f92672">/&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">1&lt;/span>&lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">0&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">0&lt;/span> &lt;span class="mi">1&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="o">/&lt;/span> &lt;span class="err">\&lt;/span>\
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">1&lt;/span> &lt;span class="mi">0&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="err">\\&lt;/span> &lt;span class="o">/&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">1&lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="mi">0&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
@@ -432,15 +432,15 @@ title="Copiar código"
 &lt;p>La solución a este problema consistía en programar el método descrito. Este método inherentemente está basado en la técnica de divide y vencerás.&lt;/p>
 &lt;p>A continuación, un pseudo-código que muestra la forma de llevar a cabo la transformación de un mapa de bits bidimensional a la forma reducida:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si todos los elementos en mapaDeBits son iguales
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Imprime el valor y termina
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si no
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Imprime D
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits.superiorIzquierdo)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits.superiorDerecho)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits.inferiorIzquierdo)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits.inferiorDerecho)
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">todos&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">elementos&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">mapaDeBits&lt;/span> &lt;span class="n">son&lt;/span> &lt;span class="n">iguales&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Imprime&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">valor&lt;/span> &lt;span class="n">y&lt;/span> &lt;span class="n">termina&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">no&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Imprime&lt;/span> &lt;span class="n">D&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">superiorIzquierdo&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">superiorDerecho&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">inferiorIzquierdo&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">inferiorDerecho&lt;/span>&lt;span class="p">)&lt;/span>
 &lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
@@ -453,14 +453,14 @@ title="Copiar código"
 &lt;/div>
 &lt;p>El método para hacer la transformación inversa es muy parecido, sólo que para imprimir la equivalencia hay que comenzar con un mapa de bits bidimensional que nos sirva de variable auxiliar para hacer la conversión. Esta variable auxiliar se puede declarar de manera global y, cuando el método recursivo termine, simplemente imprimir su contenido:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits, sección)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si mapaDeBits comienza con un valor
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Rellenar sección del mapa bidimensional con el valor
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si no
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.superiorIzquierda)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.superiorDerecha)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.inferiorIzquierda)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.inferiorDerecha)
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">mapaDeBits&lt;/span> &lt;span class="n">comienza&lt;/span> &lt;span class="n">con&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="n">valor&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Rellenar&lt;/span> &lt;span class="n">sección&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">mapa&lt;/span> &lt;span class="n">bidimensional&lt;/span> &lt;span class="n">con&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">valor&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">no&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">removerPrimerElemento&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">superiorIzquierda&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">removerPrimerElemento&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">superiorDerecha&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">removerPrimerElemento&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">inferiorIzquierda&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">removerPrimerElemento&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">inferiorDerecha&lt;/span>&lt;span class="p">)&lt;/span>
 &lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
@@ -550,102 +550,102 @@ title="Copiar código"
 &lt;p>La estrategia que yo personalmente seguí fue que cada que encontraba un nuevo estado, obtenía su &lt;a href="http://es.wikipedia.org/wiki/Funci%C3%B3n_hash" target="_blank" rel="noopener">hash&lt;/a> (que resultaba en un entero de 64 bits) y verificaba si no lo había visitado usando una tabla de hash&lt;a href="#note" >*&lt;/a>. Si no la había visitado, encontraba todos los estados vecinos (todos los tableros que resultaban de hacer un movimiento válido) y los guardaba en una fila de acuerdo a la cantidad de puntos (entre más puntos, más adelante en la fila). Luego, elegía aleatoriamente un estado de la fila dándole prioridad a los que estaban más adelante (pues son los que tienen mayor probabilidad de llegar a una buena solución), lo cual también me evitaba seguir un único camino donde me podría atorar. Repetí eso hasta que se me terminó la memoria de la computadora e imprimí la mejor solución.&lt;/p>
 &lt;p>A continuación, el pseudocódigo de la solución:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">class&lt;/span> &lt;span style="color:#a6e22e">Estado&lt;/span>&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">int&lt;/span> puntos &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">bool&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[N&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[N&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] tablero
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Estado padre &lt;span style="color:#f92672">=&lt;/span> null
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> def &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_init&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_(Estado p)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> puntos &lt;span style="color:#f92672">=&lt;/span> p.puntos
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> tablero &lt;span style="color:#f92672">=&lt;/span> p.tablero
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> padre &lt;span style="color:#f92672">=&lt;/span> p
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> def hash()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Puedes usar cualquier algoritmo que genere un entero de 64 bits
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># a partir de tablero y puntos. Este es el más sencillo.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> hash &lt;span style="color:#f92672">=&lt;/span> puntos
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">for&lt;/span> i in range(&lt;span style="color:#ae81ff">0&lt;/span>, N)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> hash &lt;span style="color:#f92672">=&lt;/span> ((hash &lt;span style="color:#f92672">&amp;lt;&amp;lt;&lt;/span> &lt;span style="color:#ae81ff">7&lt;/span>) &lt;span style="color:#f92672">|&lt;/span> (hash &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> &lt;span style="color:#ae81ff">53&lt;/span>)) &lt;span style="color:#f92672">^&lt;/span> tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> hash
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> def siguientes(queue&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#ae81ff">300&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] colas)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Para todas las celdas (i, j) del tablero...
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span> i in range(&lt;span style="color:#ae81ff">0&lt;/span>, N)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">for&lt;/span> j in range(&lt;span style="color:#ae81ff">0&lt;/span>, N)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Si la celda tiene una pieza...
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Para todos los vecinos contiguos (i+k, j+l)...
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span> k in range(&lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>, &lt;span style="color:#ae81ff">2&lt;/span>)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">for&lt;/span> l in range(&lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>, &lt;span style="color:#ae81ff">2&lt;/span>)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Asegúrate que se haya movido \_algo\_.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> k &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span> &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> l &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>&lt;span style="color:#f92672">:&lt;/span> &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Y que pueda brincar dentro del tablero.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> j &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> l &lt;span style="color:#f92672">&amp;lt;&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span> or j &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> l &lt;span style="color:#f92672">&amp;gt;=&lt;/span> N: &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Y que haya brincado una pieza.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> not tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i &lt;span style="color:#f92672">+&lt;/span> k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j &lt;span style="color:#f92672">+&lt;/span> l&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#f92672">:&lt;/span> &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Y que el lugar a donde brinca esté desocupado.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> l&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#f92672">:&lt;/span> &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> hijo &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#66d9ef">new&lt;/span> Estado(&lt;span style="color:#66d9ef">this&lt;/span>)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Aumenta la puntuación del hijo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> hijo.puntos&lt;span style="color:#f92672">++&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Borra la ficha original y la &amp;#34;comida&amp;#34;.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> hijo.tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> hijo.tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i &lt;span style="color:#f92672">+&lt;/span> k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j &lt;span style="color:#f92672">+&lt;/span> l&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>\
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> False
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Agrega la ficha en su posición final.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> hijo.tablero&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[j &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> l&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> True
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Agrégala a la cola correspondiente.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[hijo.puntos&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].push(hijo)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>def elige&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_estado()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Número aleatorio entre 0 y 1.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> r &lt;span style="color:#f92672">=&lt;/span> (random() &lt;span style="color:#f92672">/&lt;/span> (&lt;span style="color:#66d9ef">float&lt;/span>)RAND&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_MAX)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># El índice de la última cola que estuvo llena.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> ultimolleno &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># La cola que se está considerando.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> x &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Elige la cola con mayores puntos que no esté vacía como
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># primera opción.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span> i in range(&lt;span style="color:#ae81ff">0&lt;/span>, N)&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span> not colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].vacio()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> x &lt;span style="color:#f92672">=&lt;/span> i
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># La primer cola tiene probabilidad de 31% de ser elegida.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># La segunda cola tiene probabilidad de 21%, la tercera 14%,
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># la cuarta 10% y así sucesivamente.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">while&lt;/span> x &lt;span style="color:#f92672">&amp;gt;=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span> not colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[x&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].vacio()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ultimolleno &lt;span style="color:#f92672">=&lt;/span> x
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> x&lt;span style="color:#f92672">--&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> r &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*=&lt;/span> &lt;span style="color:#ae81ff">1.45&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span> r &lt;span style="color:#f92672">&amp;gt;=&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span> and ultimolleno &lt;span style="color:#f92672">!=&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span> &lt;span style="color:#66d9ef">break&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span> ultimolleno &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>&lt;span style="color:#f92672">:&lt;/span> &lt;span style="color:#66d9ef">return&lt;/span> Null
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[lastfull&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].pop()
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>queue&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#ae81ff">300&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] colas
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>hashtable estados&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_visitados
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#960050;background-color:#1e0010">\#&lt;/span> lee el estado original
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>colas&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#ae81ff">0&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].push(estado&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_original)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Estado mejor &lt;span style="color:#f92672">=&lt;/span> estado&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_original
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">while&lt;/span> no&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_se&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_haya&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_terminado&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_la&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_memoria()&lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Estado s &lt;span style="color:#f92672">=&lt;/span> elige&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_estado()
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Si ya no hay más estados por visitar,
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e"># encontramos la respuesta óptima en algún punto.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> s &lt;span style="color:#f92672">==&lt;/span> Null: &lt;span style="color:#66d9ef">break&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Actualiza |mejor| si hay una respuesta mejor.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> mejor.puntos &lt;span style="color:#f92672">&amp;lt;&lt;/span> s.puntos: mejor &lt;span style="color:#f92672">=&lt;/span> s
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Repetir estados es malo.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span> s.hash() in estados&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_visitados: &lt;span style="color:#66d9ef">continue&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> estados&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_visitados.add(s.hash())
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e"># Agrega todos los vecinos.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> s.siguiente(colas)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#960050;background-color:#1e0010">\#&lt;/span> A partir de este punto, &lt;span style="color:#f92672">|&lt;/span>mejor&lt;span style="color:#f92672">|&lt;/span> contiene la mejor solución. Podemos
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e"># saber qué movimiento se hizo para llegar a él comparando las
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e"># diferencias entre el tablero de |mejor.padre| y |mejor|. Ya solo es
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e"># cuestión de imprimir el resultado y listo.
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> Aquí mucha gente se va a quejar porque solo guardar el hash abre la puerta a que haya dos estados que puede tener hasta &lt;span style="color:#ae81ff">900&lt;/span> bits que tengan el mismo hash de &lt;span style="color:#ae81ff">64&lt;/span> bits (por el [principio del palomar](http:&lt;span style="color:#75715e">//es.wikipedia.org/wiki/Principio_del_palomar)) y esté considerando que ya se visitó un estado que en realidad es nuevo. Si haces las cuentas, la probabilidad de colisión es negligible: la cantidad de estados que podía visitar en mi computadora (27 millones) es significativamente más pequeña que el número de estados necesarios para que la probabilidad de colisión sea de 1% ($latex \\approx 10^{135}$, por la [paradoja del cumpleaños](http://es.wikipedia.org/wiki/Paradoja_del_cumplea%C3%B1os)).
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl">&lt;span class="k">class&lt;/span> &lt;span class="nc">Estado&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">int&lt;/span> &lt;span class="n">puntos&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">bool&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">N&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">N&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="n">tablero&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Estado&lt;/span> &lt;span class="n">padre&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">null&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">def&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="n">_&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_init&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">Estado&lt;/span> &lt;span class="n">p&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">puntos&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">p&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">puntos&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">tablero&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">p&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tablero&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">padre&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">p&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">def&lt;/span> &lt;span class="n">hash&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Puedes usar cualquier algoritmo que genere un entero de 64 bits
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># a partir de tablero y puntos. Este es el más sencillo.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">hash&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">puntos&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">for&lt;/span> &lt;span class="n">i&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">hash&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="p">((&lt;/span>&lt;span class="n">hash&lt;/span> &lt;span class="o">&amp;lt;&amp;lt;&lt;/span> &lt;span class="mi">7&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="o">|&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">hash&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="mi">53&lt;/span>&lt;span class="p">))&lt;/span> &lt;span class="o">^&lt;/span> &lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="n">hash&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">def&lt;/span> &lt;span class="n">siguientes&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">queue&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">300&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Para todas las celdas (i, j) del tablero...
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">for&lt;/span> &lt;span class="n">i&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">for&lt;/span> &lt;span class="n">j&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Si la celda tiene una pieza...
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Para todos los vecinos contiguos (i+k, j+l)...
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">for&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="mi">2&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">for&lt;/span> &lt;span class="n">l&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="mi">2&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Asegúrate que se haya movido \_algo\_.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">0&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="n">l&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="o">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Y que pueda brincar dentro del tablero.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">l&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="mi">0&lt;/span> &lt;span class="n">or&lt;/span> &lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">l&lt;/span> &lt;span class="o">&amp;gt;=&lt;/span> &lt;span class="nl">N&lt;/span>&lt;span class="p">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Y que haya brincado una pieza.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">not&lt;/span> &lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">l&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="o">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Y que el lugar a donde brinca esté desocupado.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">l&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="o">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">hijo&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="k">new&lt;/span> &lt;span class="n">Estado&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="k">this&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Aumenta la puntuación del hijo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">puntos&lt;/span>&lt;span class="o">++&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Borra la ficha original y la &amp;#34;comida&amp;#34;.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">l&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="err">\&lt;/span>\
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">False&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Agrega la ficha en su posición final.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tablero&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">j&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">l&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">True&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Agrégala a la cola correspondiente.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">hijo&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">puntos&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">push&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">hijo&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">def&lt;/span> &lt;span class="n">elige&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_estado&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Número aleatorio entre 0 y 1.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">r&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">random&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="o">/&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="kt">float&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="n">RAND&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_MAX&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># El índice de la última cola que estuvo llena.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">ultimolleno&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># La cola que se está considerando.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">x&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Elige la cola con mayores puntos que no esté vacía como
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># primera opción.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">for&lt;/span> &lt;span class="n">i&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">range&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">)&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span> &lt;span class="n">not&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">vacio&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">x&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">i&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># La primer cola tiene probabilidad de 31% de ser elegida.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># La segunda cola tiene probabilidad de 21%, la tercera 14%,
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># la cuarta 10% y así sucesivamente.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">while&lt;/span> &lt;span class="n">x&lt;/span> &lt;span class="o">&amp;gt;=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span> &lt;span class="n">not&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">x&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">vacio&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ultimolleno&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">x&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">x&lt;/span>&lt;span class="o">--&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">r&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*=&lt;/span> &lt;span class="mf">1.45&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span> &lt;span class="n">r&lt;/span> &lt;span class="o">&amp;gt;=&lt;/span> &lt;span class="mi">1&lt;/span> &lt;span class="n">and&lt;/span> &lt;span class="n">ultimolleno&lt;/span> &lt;span class="o">!=&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span> &lt;span class="k">break&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span> &lt;span class="n">ultimolleno&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="o">:&lt;/span> &lt;span class="k">return&lt;/span> &lt;span class="n">Null&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">lastfull&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">pop&lt;/span>&lt;span class="p">()&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">queue&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">300&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="n">colas&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">hashtable&lt;/span> &lt;span class="n">estados&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_visitados&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="err">\#&lt;/span> &lt;span class="n">lee&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">estado&lt;/span> &lt;span class="n">original&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">colas&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">push&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">estado&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_original&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Estado&lt;/span> &lt;span class="n">mejor&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">estado&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_original&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="k">while&lt;/span> &lt;span class="n">no&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_se&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_haya&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_terminado&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_la&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_memoria&lt;/span>&lt;span class="p">()&lt;/span>&lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Estado&lt;/span> &lt;span class="n">s&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">elige&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_estado&lt;/span>&lt;span class="p">()&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Si ya no hay más estados por visitar,
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="cp"># encontramos la respuesta óptima en algún punto.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">s&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="nl">Null&lt;/span>&lt;span class="p">:&lt;/span> &lt;span class="k">break&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Actualiza |mejor| si hay una respuesta mejor.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">mejor&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">puntos&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">s&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="nl">puntos&lt;/span>&lt;span class="p">:&lt;/span> &lt;span class="n">mejor&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">s&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Repetir estados es malo.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="k">if&lt;/span> &lt;span class="n">s&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">hash&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="n">in&lt;/span> &lt;span class="n">estados&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="nl">_visitados&lt;/span>&lt;span class="p">:&lt;/span> &lt;span class="k">continue&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">estados&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_visitados&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">add&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">s&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">hash&lt;/span>&lt;span class="p">())&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="cp"># Agrega todos los vecinos.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span> &lt;span class="n">s&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">siguiente&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">colas&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="err">\#&lt;/span> &lt;span class="n">A&lt;/span> &lt;span class="n">partir&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">este&lt;/span> &lt;span class="n">punto&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">|&lt;/span>&lt;span class="n">mejor&lt;/span>&lt;span class="o">|&lt;/span> &lt;span class="n">contiene&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">mejor&lt;/span> &lt;span class="n">solución&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">Podemos&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp"># saber qué movimiento se hizo para llegar a él comparando las
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp"># diferencias entre el tablero de |mejor.padre| y |mejor|. Ya solo es
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp"># cuestión de imprimir el resultado y listo.
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">Aquí&lt;/span> &lt;span class="n">mucha&lt;/span> &lt;span class="n">gente&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">va&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="n">quejar&lt;/span> &lt;span class="n">porque&lt;/span> &lt;span class="n">solo&lt;/span> &lt;span class="n">guardar&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">hash&lt;/span> &lt;span class="n">abre&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">puerta&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">haya&lt;/span> &lt;span class="n">dos&lt;/span> &lt;span class="n">estados&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">puede&lt;/span> &lt;span class="n">tener&lt;/span> &lt;span class="n">hasta&lt;/span> &lt;span class="mi">900&lt;/span> &lt;span class="n">bits&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">tengan&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">mismo&lt;/span> &lt;span class="n">hash&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="mi">64&lt;/span> &lt;span class="n">bits&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">por&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="p">[&lt;/span>&lt;span class="n">principio&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">palomar&lt;/span>&lt;span class="p">](&lt;/span>&lt;span class="nl">http&lt;/span>&lt;span class="p">:&lt;/span>&lt;span class="c1">//es.wikipedia.org/wiki/Principio_del_palomar)) y esté considerando que ya se visitó un estado que en realidad es nuevo. Si haces las cuentas, la probabilidad de colisión es negligible: la cantidad de estados que podía visitar en mi computadora (27 millones) es significativamente más pequeña que el número de estados necesarios para que la probabilidad de colisión sea de 1% ($latex \\approx 10^{135}$, por la [paradoja del cumpleaños](http://es.wikipedia.org/wiki/Paradoja_del_cumplea%C3%B1os)).
 &lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
@@ -693,16 +693,16 @@ sea maxima siempre y cuando &lt;video autoplay muted loop>
 &lt;p>&lt;strong>Concurso:&lt;/strong> &lt;a href="https://omegaup.com/arena/problem/ubongo-3d" target="_blank" rel="noopener">Preselectivo para la IOI 2014, Etapa 1, Problemset 8&lt;/a> &lt;strong>Autor:&lt;/strong> Miguel Covarrubias &lt;strong>Fuente:&lt;/strong> Miguel Covarrubias&lt;/p>
 &lt;p>La solución pone piezas de manera recursiva mientras quepan en el tablero y no se empalmen.&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span>resuelve(pieza)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> si pieza &lt;span style="color:#f92672">&amp;gt;&lt;/span> P
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> regresa &lt;span style="color:#960050;background-color:#1e0010">“&lt;/span>Si&lt;span style="color:#960050;background-color:#1e0010">”&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> para cada rotación de la pieza
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> para cada casilla g del tablero
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> para cada cubo c de la pieza
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> si al poner c sobre g, la pieza queda dentro de los primeros &lt;span style="color:#ae81ff">2&lt;/span> niveles del tablero y no se empalma con otra pieza ya puesta entonces
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> marca las posiciones de los cubos de la pieza como ocupados
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> resuelve(pieza &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> desmarca los cubos de la pieza&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl">&lt;span class="n">resuelve&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">pieza&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">si&lt;/span> &lt;span class="n">pieza&lt;/span> &lt;span class="o">&amp;gt;&lt;/span> &lt;span class="n">P&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">regresa&lt;/span> &lt;span class="err">“&lt;/span>&lt;span class="n">Si&lt;/span>&lt;span class="err">”&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">para&lt;/span> &lt;span class="n">cada&lt;/span> &lt;span class="n">rotación&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">pieza&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">para&lt;/span> &lt;span class="n">cada&lt;/span> &lt;span class="n">casilla&lt;/span> &lt;span class="n">g&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">tablero&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">para&lt;/span> &lt;span class="n">cada&lt;/span> &lt;span class="n">cubo&lt;/span> &lt;span class="n">c&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">pieza&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">si&lt;/span> &lt;span class="n">al&lt;/span> &lt;span class="n">poner&lt;/span> &lt;span class="n">c&lt;/span> &lt;span class="n">sobre&lt;/span> &lt;span class="n">g&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">pieza&lt;/span> &lt;span class="n">queda&lt;/span> &lt;span class="n">dentro&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">primeros&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="n">niveles&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">tablero&lt;/span> &lt;span class="n">y&lt;/span> &lt;span class="n">no&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">empalma&lt;/span> &lt;span class="n">con&lt;/span> &lt;span class="n">otra&lt;/span> &lt;span class="n">pieza&lt;/span> &lt;span class="n">ya&lt;/span> &lt;span class="n">puesta&lt;/span> &lt;span class="n">entonces&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">marca&lt;/span> &lt;span class="n">las&lt;/span> &lt;span class="n">posiciones&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">cubos&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">pieza&lt;/span> &lt;span class="n">como&lt;/span> &lt;span class="n">ocupados&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">resuelve&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">pieza&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">1&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">desmarca&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">cubos&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">pieza&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
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@@ -838,7 +838,7 @@ ya que si está conectado con un descendiente rojo, la solución sería incorrec
 &lt;h2>Para los 100 puntos&lt;span class="hx-absolute -hx-mt-20" id="para-los-100-puntos">&lt;/span>
 &lt;a href="#para-los-100-puntos" class="subheading-anchor" aria-label="Permalink for this section">&lt;/a>&lt;/h2>&lt;p>Esta solución era para aquellos que supieran hacer una búsqueda utilizando una cola de prioridad. La idea es que al sacar un elemento de la cola siempre nos dé aquel al que se puede llegar con la menor cantidad de movimientos. Este procedimiento es idéntico a una búsqueda en amplitud solo que se utiliza una cola de prioridad. En la solución hago uso de un montículo como cola de prioridad.&lt;/p>
 &lt;script src="https://gist.github.com/OlimpiadaMexicanadeInformatica/6559202.js">&lt;/script></description></item><item><title>Solución a "K-Arbol"</title><link>https://blog.omegaup.com/posts/solucion-a-k-arbol/</link><pubDate>Mon, 07 Jan 2013 17:37:40 +0000</pubDate><guid>https://blog.omegaup.com/posts/solucion-a-k-arbol/</guid><description>
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 &lt;p>&lt;strong>Concurso:&lt;/strong> &lt;a href="https://omegaup.com/arena/IOI2013E1P5" target="_blank" rel="noopener">Preselectivo para la IOI 2013, Etapa 1, Examen 5&lt;/a> **Autor: **&lt;a href="mailto:lkt345@gmail.com" >Saul de Nova Caballero&lt;/a>&lt;/p>
 &lt;p>En pocas palabras el problema es, dado un árbol que se puede colorear, encuentra la menor solución satisfaciendo las restricciones dadas sobre los colores. Este problema es un caso particular de Graph Coloring(en español coloración de grafos), en donde el grafo es un árbol.&lt;/p>
 &lt;h1>Subcaso 1(10 puntos)&lt;/h1>&lt;p>Para el primer subcaso era posible hacer una búsqueda en profunidad sobre todos los nodos, encontrando la menor solución. Para guardar el árbol, era posible utilizar una matriz que guardara todos los colores posibles y entonces ver si era posible una solución con el menor color posible. La solución de este caso era trivial si se usaba una búsqueda exhaustiva.&lt;/p>
@@ -864,179 +864,179 @@ ya que si está conectado con un descendiente rojo, la solución sería incorrec
 &lt;p>&lt;img src="https://blog.omegaup.com/images/linearizar.jpg" alt="" loading="lazy" />&lt;/p>
 &lt;p>Imagen obtenida de &lt;a href="http://aima.cs.berkeley.edu/newchap05.pdf" target="_blank" rel="noopener">http://aima.cs.berkeley.edu/newchap05.pdf&lt;/a>&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">1&lt;/span> &lt;span style="color:#75715e">// karbol100.cpp
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span> &lt;span style="color:#75715e">// By Saul de Nova Caballero
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">3&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">4&lt;/span> &lt;span style="color:#75715e">//Librerias de la standard template library de c++(stl)
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">5&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>include &lt;span style="color:#f92672">&amp;lt;&lt;/span>algorithm&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">6&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>include &lt;span style="color:#f92672">&amp;lt;&lt;/span>cassert&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">7&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>include &lt;span style="color:#f92672">&amp;lt;&lt;/span>cstdio&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">8&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>include &lt;span style="color:#f92672">&amp;lt;&lt;/span>cstdlib&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">9&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>include &lt;span style="color:#f92672">&amp;lt;&lt;/span>cstring&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">10&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>include &lt;span style="color:#f92672">&amp;lt;&lt;/span>iostream&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">11&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>include &lt;span style="color:#f92672">&amp;lt;&lt;/span>list&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">12&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>include &lt;span style="color:#f92672">&amp;lt;&lt;/span>utility&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">13&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">14&lt;/span> &lt;span style="color:#66d9ef">using&lt;/span> &lt;span style="color:#66d9ef">namespace&lt;/span> std;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">15&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">16&lt;/span> &lt;span style="color:#75715e">//Iterador sobre estructuras de datos. En este caso listas de la stl
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">17&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">#&lt;/span>define TR(container, it) &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>\
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">18&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span>(typeof(container.begin()) it &lt;span style="color:#f92672">=&lt;/span> container.begin() ; it &lt;span style="color:#f92672">!=&lt;/span> container.end() ; &lt;span style="color:#f92672">++&lt;/span>it)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">19&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">20&lt;/span> &lt;span style="color:#75715e">//Definicion de un par de la stl
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">21&lt;/span> &lt;span style="color:#66d9ef">typedef&lt;/span> pair&lt;span style="color:#f92672">&amp;lt;&lt;/span>&lt;span style="color:#66d9ef">int&lt;/span>, &lt;span style="color:#66d9ef">int&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">&amp;gt;&lt;/span> pii;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">22&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">23&lt;/span> &lt;span style="color:#75715e">//Constantes del programa
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">24&lt;/span> &lt;span style="color:#66d9ef">const&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> MAXN &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">10002&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">25&lt;/span> &lt;span style="color:#66d9ef">const&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> MAXM &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">502&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">26&lt;/span> &lt;span style="color:#66d9ef">const&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> MAXMEM &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">2&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>MAXN;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">27&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">28&lt;/span> &lt;span style="color:#75715e">//Clase para definir los hijos del arbol
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">29&lt;/span> &lt;span style="color:#75715e">//Es una lista con todos los hijos de cada nodo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">30&lt;/span> &lt;span style="color:#66d9ef">class&lt;/span> &lt;span style="color:#a6e22e">Graph&lt;/span> {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">31&lt;/span> &lt;span style="color:#66d9ef">public&lt;/span> &lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">32&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> addNode(&lt;span style="color:#66d9ef">int&lt;/span> node, &lt;span style="color:#66d9ef">int&lt;/span> value) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">33&lt;/span> nodes&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[node&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>].push&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_back(value);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">34&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">35&lt;/span> list&lt;span style="color:#f92672">&amp;lt;&lt;/span>&lt;span style="color:#66d9ef">int&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">&amp;gt;&lt;/span> nodes&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[MAXN&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>];
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">36&lt;/span> };
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">37&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">38&lt;/span> &lt;span style="color:#75715e">//Clase para cola de las busquedas en amplitud
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">39&lt;/span> &lt;span style="color:#75715e">//Es de tipo generica
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">40&lt;/span> &lt;span style="color:#66d9ef">template&lt;/span>&lt;span style="color:#f92672">&amp;lt;&lt;/span>&lt;span style="color:#66d9ef">class&lt;/span> &lt;span style="color:#a6e22e">T&lt;/span>&lt;span style="color:#f92672">&amp;gt;&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">41&lt;/span> &lt;span style="color:#66d9ef">class&lt;/span> &lt;span style="color:#a6e22e">Queue&lt;/span> {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">42&lt;/span> &lt;span style="color:#66d9ef">public&lt;/span> &lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">43&lt;/span> Queue() { init(); }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">44&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> &lt;span style="color:#a6e22e">init&lt;/span>() { p1 &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>; p2 &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>; }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">45&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> &lt;span style="color:#a6e22e">push&lt;/span>(T val) { memory&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#f92672">++&lt;/span>p1&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> val; }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">46&lt;/span> T &lt;span style="color:#a6e22e">front&lt;/span>() { &lt;span style="color:#66d9ef">return&lt;/span> memory&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[p2&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]; }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">47&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> &lt;span style="color:#a6e22e">pop&lt;/span>() { p2&lt;span style="color:#f92672">++&lt;/span>; }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">48&lt;/span> &lt;span style="color:#66d9ef">bool&lt;/span> &lt;span style="color:#a6e22e">empty&lt;/span>() { &lt;span style="color:#66d9ef">return&lt;/span> (p1 &lt;span style="color:#f92672">&amp;lt;&lt;/span> p2); }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">49&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">50&lt;/span> &lt;span style="color:#66d9ef">private&lt;/span> &lt;span style="color:#f92672">:&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">51&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> p1, p2;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">52&lt;/span> T memory&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[MAXMEM&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>];
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">53&lt;/span> };
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">54&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">55&lt;/span> &lt;span style="color:#75715e">//Definicion de todas las variables del programa
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">56&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> N, M, C, &lt;span style="color:#75715e">//Variables dadas
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">57&lt;/span> allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[MAXN&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>], &lt;span style="color:#75715e">//La cantidad de colores posibles por nodo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">58&lt;/span> parents&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[MAXN&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>], &lt;span style="color:#75715e">//El padre de cada nodo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">59&lt;/span> colorAssigned&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[MAXN&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]; &lt;span style="color:#75715e">//El color que le asigne al final al nodo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">60&lt;/span> &lt;span style="color:#66d9ef">bool&lt;/span> allowedColors&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[MAXN&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[MAXM&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]; &lt;span style="color:#75715e">//Una matriz con todos los colores posibles por cada nodo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">61&lt;/span> list&lt;span style="color:#f92672">&amp;lt;&lt;/span>&lt;span style="color:#66d9ef">int&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">&amp;gt;&lt;/span> nodesOrder; &lt;span style="color:#75715e">//Una lista ordenada de mayor a menor por la profundidad de cada nodo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">62&lt;/span> Graph tree; &lt;span style="color:#75715e">//Mi arbol
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">63&lt;/span> Queue&lt;span style="color:#f92672">&amp;lt;&lt;/span>pii&lt;span style="color:#f92672">&amp;gt;&lt;/span> searchDepth; &lt;span style="color:#75715e">//Una cola para la busqueda
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">64&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">65&lt;/span> &lt;span style="color:#75715e">//Regresa el color valido por cada nodo permitiendo que un nodo no sea de un color
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">66&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> validColor(&lt;span style="color:#66d9ef">int&lt;/span> node, &lt;span style="color:#66d9ef">int&lt;/span> constraint &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">67&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span>(&lt;span style="color:#66d9ef">int&lt;/span> i &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>; i &lt;span style="color:#f92672">&amp;lt;&lt;/span> M; &lt;span style="color:#f92672">++&lt;/span>i) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">68&lt;/span> &lt;span style="color:#a6e22e">if&lt;/span>(allowedColors&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[node&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[i&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> constraint &lt;span style="color:#f92672">!=&lt;/span> i) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">69&lt;/span> &lt;span style="color:#66d9ef">return&lt;/span> i;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">70&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">71&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">72&lt;/span> &lt;span style="color:#66d9ef">return&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">73&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">74&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">75&lt;/span> &lt;span style="color:#75715e">//Funcion para la lectura de todas las variables y la inicializacion de las estructuras
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">76&lt;/span> &lt;span style="color:#75715e">//Los asserts son para probar que el codigo es correcto
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">77&lt;/span> &lt;span style="color:#f92672">/&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>Guarda en allowedColors los posibles colores por nodo en una matriz&lt;span style="color:#960050;background-color:#1e0010">\*/&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">78&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> read() {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">79&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> node, prohibited;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">80&lt;/span> &lt;span style="color:#a6e22e">scanf&lt;/span>(&lt;span style="color:#e6db74">&amp;#34;%d%d&amp;#34;&lt;/span>, &lt;span style="color:#f92672">&amp;amp;&lt;/span>N, &lt;span style="color:#f92672">&amp;amp;&lt;/span>M);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">81&lt;/span> &lt;span style="color:#a6e22e">assert&lt;/span>(&lt;span style="color:#ae81ff">1&lt;/span> &lt;span style="color:#f92672">&amp;lt;=&lt;/span> N &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> N &lt;span style="color:#f92672">&amp;lt;=&lt;/span> MAXN&lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">2&lt;/span>);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">82&lt;/span> allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#ae81ff">0&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> M;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">83&lt;/span> &lt;span style="color:#a6e22e">memset&lt;/span>(allowedColors, true, &lt;span style="color:#66d9ef">sizeof&lt;/span>(allowedColors));
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">84&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span>(&lt;span style="color:#66d9ef">int&lt;/span> k &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>; k &lt;span style="color:#f92672">&amp;lt;&lt;/span> N; &lt;span style="color:#f92672">++&lt;/span>k) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">85&lt;/span> &lt;span style="color:#a6e22e">scanf&lt;/span>(&lt;span style="color:#e6db74">&amp;#34;%d&amp;#34;&lt;/span>, &lt;span style="color:#f92672">&amp;amp;&lt;/span>node);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">86&lt;/span> &lt;span style="color:#a6e22e">assert&lt;/span>(&lt;span style="color:#ae81ff">0&lt;/span> &lt;span style="color:#f92672">&amp;lt;=&lt;/span> node &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> node &lt;span style="color:#f92672">&amp;lt;&lt;/span> N);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">87&lt;/span> parents&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> node;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">88&lt;/span> tree.addNode(node, k);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">89&lt;/span> allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> M;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">90&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">91&lt;/span> &lt;span style="color:#a6e22e">scanf&lt;/span>(&lt;span style="color:#e6db74">&amp;#34;%d&amp;#34;&lt;/span>, &lt;span style="color:#f92672">&amp;amp;&lt;/span>C);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">92&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span>(&lt;span style="color:#66d9ef">int&lt;/span> k &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>; k &lt;span style="color:#f92672">&amp;lt;&lt;/span> C; &lt;span style="color:#f92672">++&lt;/span>k) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">93&lt;/span> &lt;span style="color:#a6e22e">scanf&lt;/span>(&lt;span style="color:#e6db74">&amp;#34;%d%d&amp;#34;&lt;/span>, &lt;span style="color:#f92672">&amp;amp;&lt;/span>node, &lt;span style="color:#f92672">&amp;amp;&lt;/span>prohibited);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">94&lt;/span> &lt;span style="color:#a6e22e">assert&lt;/span>(&lt;span style="color:#ae81ff">0&lt;/span> &lt;span style="color:#f92672">&amp;lt;=&lt;/span> node &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> node &lt;span style="color:#f92672">&amp;lt;&lt;/span> N &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span> &lt;span style="color:#f92672">&amp;lt;=&lt;/span> prohibited &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> prohibited &lt;span style="color:#f92672">&amp;lt;&lt;/span> M);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">95&lt;/span> &lt;span style="color:#a6e22e">if&lt;/span>(allowedColors&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[node&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[prohibited&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]) { &lt;span style="color:#75715e">//Checa que los nodos no se repitan ya que se pueden repetir
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#ae81ff">96&lt;/span> allowedColors&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[node&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[prohibited&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> false;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">97&lt;/span> allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[node&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">--&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">98&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#ae81ff">99&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">100&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">101&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">102&lt;/span> &lt;span style="color:#f92672">/&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>Una busqueda en amplitud para &lt;span style="color:#e6db74">&amp;#34;linearizar el árbol&amp;#34;&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\*/&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">103&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> orderNodes() {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">104&lt;/span> searchDepth.push(make&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_pair(&lt;span style="color:#ae81ff">0&lt;/span>, &lt;span style="color:#ae81ff">0&lt;/span>));
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">105&lt;/span> &lt;span style="color:#a6e22e">while&lt;/span>(&lt;span style="color:#f92672">!&lt;/span>searchDepth.empty()) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">106&lt;/span> pii value &lt;span style="color:#f92672">=&lt;/span> searchDepth.front(); searchDepth.pop();
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">107&lt;/span> nodesOrder.push&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_front(value.first);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">108&lt;/span> TR(tree.nodes&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[value.first&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>], it) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">109&lt;/span> searchDepth.push(make&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>_pair(&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it, value.second &lt;span style="color:#f92672">+&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>));
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">110&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">111&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">112&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">113&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">114&lt;/span> &lt;span style="color:#f92672">/&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>Checa por cada nodo de mayor a menor en la linearizacion, los colores posibles por nodo que solo tiene un color posible&lt;span style="color:#960050;background-color:#1e0010">\*/&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">115&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> enforceArc() {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">116&lt;/span> &lt;span style="color:#a6e22e">TR&lt;/span>(nodesOrder, it) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">117&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> currNode &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">118&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> parent &lt;span style="color:#f92672">=&lt;/span> parents&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>];
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">119&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span>(currNode &lt;span style="color:#f92672">!=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">120&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span>(allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[currNode&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span> &lt;span style="color:#f92672">||&lt;/span> allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[parent&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">121&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span>(allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[parent&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">122&lt;/span> swap(currNode, parent);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">123&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">124&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> color &lt;span style="color:#f92672">=&lt;/span> validColor(currNode);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">125&lt;/span> &lt;span style="color:#75715e">//printf(&amp;#34;%d %d %d\\n&amp;#34;, currNode, parent, color);
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>&lt;span style="color:#ae81ff">126&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span>(allowedColors&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[parent&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[color&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">127&lt;/span> allowedColors&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[parent&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[color&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> false;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">128&lt;/span> allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[parent&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">--&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">129&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">130&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">131&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">132&lt;/span> &lt;span style="color:#75715e">//Si no hay colores posibles, no se puede resolver el mapa
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>&lt;span style="color:#ae81ff">133&lt;/span> &lt;span style="color:#66d9ef">if&lt;/span>(allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[currNode&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">&amp;lt;=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">134&lt;/span> printf(&lt;span style="color:#e6db74">&amp;#34;-1&lt;/span>&lt;span style="color:#ae81ff">\\&lt;/span>&lt;span style="color:#e6db74">n&amp;#34;&lt;/span>);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">135&lt;/span> exit(&lt;span style="color:#ae81ff">0&lt;/span>);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">136&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">137&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">138&lt;/span> &lt;span style="color:#75715e">//Checa de nuevo si alguno de los colores no puede ser
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>&lt;span style="color:#ae81ff">139&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span>(&lt;span style="color:#66d9ef">int&lt;/span> k &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>; k &lt;span style="color:#f92672">&amp;lt;&lt;/span> N; &lt;span style="color:#f92672">++&lt;/span>k) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">140&lt;/span> &lt;span style="color:#a6e22e">if&lt;/span>(allowedColorsSize&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">141&lt;/span> printf(&lt;span style="color:#e6db74">&amp;#34;-1&lt;/span>&lt;span style="color:#ae81ff">\\&lt;/span>&lt;span style="color:#e6db74">n&amp;#34;&lt;/span>);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">142&lt;/span> exit(&lt;span style="color:#ae81ff">0&lt;/span>);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">143&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">144&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">145&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">146&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">147&lt;/span> &lt;span style="color:#75715e">//Hace un ciclo checando el menor color posible por nodo e imprime los colores menores
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>&lt;span style="color:#ae81ff">148&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> findSolution() {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">149&lt;/span> colorAssigned&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#ae81ff">0&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#f92672">-&lt;/span>&lt;span style="color:#ae81ff">1&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">150&lt;/span> list&lt;span style="color:#f92672">&amp;lt;&lt;/span>&lt;span style="color:#66d9ef">int&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">&amp;gt;::&lt;/span>iterator it &lt;span style="color:#f92672">=&lt;/span> nodesOrder.end();
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">151&lt;/span> &lt;span style="color:#66d9ef">do&lt;/span> {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">152&lt;/span> it &lt;span style="color:#f92672">--&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">153&lt;/span> &lt;span style="color:#a6e22e">assert&lt;/span>(&lt;span style="color:#ae81ff">0&lt;/span> &lt;span style="color:#f92672">&amp;lt;=&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it &lt;span style="color:#f92672">&amp;lt;&lt;/span> N);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">154&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> color &lt;span style="color:#f92672">=&lt;/span> validColor(&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">155&lt;/span> &lt;span style="color:#a6e22e">if&lt;/span>(colorAssigned&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[parents&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">==&lt;/span> color) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">156&lt;/span> color &lt;span style="color:#f92672">=&lt;/span> validColor(&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it, color);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">157&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">158&lt;/span> &lt;span style="color:#a6e22e">assert&lt;/span>(&lt;span style="color:#ae81ff">0&lt;/span> &lt;span style="color:#f92672">&amp;lt;=&lt;/span> color &lt;span style="color:#f92672">&amp;amp;&amp;amp;&lt;/span> color &lt;span style="color:#f92672">&amp;lt;&lt;/span> M);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">159&lt;/span> colorAssigned&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>it&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">=&lt;/span> color;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">160&lt;/span> } &lt;span style="color:#66d9ef">while&lt;/span>(it &lt;span style="color:#f92672">!=&lt;/span> nodesOrder.begin()) ;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">161&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">162&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span>(&lt;span style="color:#66d9ef">int&lt;/span> k &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>; k &lt;span style="color:#f92672">&amp;lt;&lt;/span> N; &lt;span style="color:#f92672">++&lt;/span>k) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">163&lt;/span> &lt;span style="color:#a6e22e">printf&lt;/span>(&lt;span style="color:#e6db74">&amp;#34;%d&lt;/span>&lt;span style="color:#ae81ff">\\&lt;/span>&lt;span style="color:#e6db74">n&amp;#34;&lt;/span>, colorAssigned&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[k&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>]);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">164&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">165&lt;/span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">166&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">167&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> &lt;span style="color:#a6e22e">main&lt;/span>() {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">168&lt;/span> read();
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">169&lt;/span> orderNodes();
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">170&lt;/span> enforceArc();
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">171&lt;/span> findSolution();
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">172&lt;/span> &lt;span style="color:#66d9ef">return&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#ae81ff">173&lt;/span> }&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">1&lt;/span> &lt;span class="c1">// karbol100.cpp
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">2&lt;/span> &lt;span class="c1">// By Saul de Nova Caballero
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">3&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">4&lt;/span> &lt;span class="c1">//Librerias de la standard template library de c++(stl)
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">5&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">include&lt;/span> &lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">algorithm&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">6&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">include&lt;/span> &lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">cassert&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">7&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">include&lt;/span> &lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">cstdio&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">8&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">include&lt;/span> &lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">cstdlib&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">9&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">include&lt;/span> &lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">cstring&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">10&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">include&lt;/span> &lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">iostream&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">11&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">include&lt;/span> &lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">list&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">12&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">include&lt;/span> &lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">utility&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">13&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">14&lt;/span> &lt;span class="k">using&lt;/span> &lt;span class="k">namespace&lt;/span> &lt;span class="n">std&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">15&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">16&lt;/span> &lt;span class="c1">//Iterador sobre estructuras de datos. En este caso listas de la stl
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">17&lt;/span> &lt;span class="err">#&lt;/span>&lt;span class="n">define&lt;/span> &lt;span class="n">TR&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">container&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">it&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="err">\&lt;/span>\
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">18&lt;/span> &lt;span class="k">for&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">typeof&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">container&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">begin&lt;/span>&lt;span class="p">())&lt;/span> &lt;span class="n">it&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">container&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">begin&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">;&lt;/span> &lt;span class="n">it&lt;/span> &lt;span class="o">!=&lt;/span> &lt;span class="n">container&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">end&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">;&lt;/span> &lt;span class="o">++&lt;/span>&lt;span class="n">it&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">19&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">20&lt;/span> &lt;span class="c1">//Definicion de un par de la stl
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">21&lt;/span> &lt;span class="k">typedef&lt;/span> &lt;span class="n">pair&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="kt">int&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="kt">int&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">&amp;gt;&lt;/span> &lt;span class="n">pii&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">22&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">23&lt;/span> &lt;span class="c1">//Constantes del programa
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">24&lt;/span> &lt;span class="k">const&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">MAXN&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">10002&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">25&lt;/span> &lt;span class="k">const&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">MAXM&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">502&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">26&lt;/span> &lt;span class="k">const&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">MAXMEM&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">2&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">MAXN&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">27&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">28&lt;/span> &lt;span class="c1">//Clase para definir los hijos del arbol
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">29&lt;/span> &lt;span class="c1">//Es una lista con todos los hijos de cada nodo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">30&lt;/span> &lt;span class="k">class&lt;/span> &lt;span class="nc">Graph&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">31&lt;/span> &lt;span class="k">public&lt;/span> &lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">32&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="n">addNode&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">node&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">value&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">33&lt;/span> &lt;span class="n">nodes&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">node&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">].&lt;/span>&lt;span class="n">push&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_back&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">value&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">34&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">35&lt;/span> &lt;span class="n">list&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="kt">int&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">&amp;gt;&lt;/span> &lt;span class="n">nodes&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">MAXN&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">];&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">36&lt;/span> &lt;span class="p">};&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">37&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">38&lt;/span> &lt;span class="c1">//Clase para cola de las busquedas en amplitud
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">39&lt;/span> &lt;span class="c1">//Es de tipo generica
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">40&lt;/span> &lt;span class="k">template&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="k">class&lt;/span> &lt;span class="nc">T&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">41&lt;/span> &lt;span class="k">class&lt;/span> &lt;span class="nc">Queue&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">42&lt;/span> &lt;span class="k">public&lt;/span> &lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">43&lt;/span> &lt;span class="n">Queue&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span> &lt;span class="n">init&lt;/span>&lt;span class="p">();&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">44&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="nf">init&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span> &lt;span class="n">p1&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">p2&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">1&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">45&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="nf">push&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">T&lt;/span> &lt;span class="n">val&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span> &lt;span class="n">memory&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="o">++&lt;/span>&lt;span class="n">p1&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">val&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">46&lt;/span> &lt;span class="n">T&lt;/span> &lt;span class="nf">front&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span> &lt;span class="k">return&lt;/span> &lt;span class="n">memory&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">p2&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">];&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">47&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="nf">pop&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span> &lt;span class="n">p2&lt;/span>&lt;span class="o">++&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">48&lt;/span> &lt;span class="kt">bool&lt;/span> &lt;span class="nf">empty&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span> &lt;span class="k">return&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">p1&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">p2&lt;/span>&lt;span class="p">);&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">49&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">50&lt;/span> &lt;span class="k">private&lt;/span> &lt;span class="o">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">51&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">p1&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">p2&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">52&lt;/span> &lt;span class="n">T&lt;/span> &lt;span class="n">memory&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">MAXMEM&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">];&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">53&lt;/span> &lt;span class="p">};&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">54&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">55&lt;/span> &lt;span class="c1">//Definicion de todas las variables del programa
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">56&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">M&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">C&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="c1">//Variables dadas
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">57&lt;/span> &lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">MAXN&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">],&lt;/span> &lt;span class="c1">//La cantidad de colores posibles por nodo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">58&lt;/span> &lt;span class="n">parents&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">MAXN&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">],&lt;/span> &lt;span class="c1">//El padre de cada nodo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">59&lt;/span> &lt;span class="n">colorAssigned&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">MAXN&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">];&lt;/span> &lt;span class="c1">//El color que le asigne al final al nodo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">60&lt;/span> &lt;span class="kt">bool&lt;/span> &lt;span class="n">allowedColors&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">MAXN&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">MAXM&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">];&lt;/span> &lt;span class="c1">//Una matriz con todos los colores posibles por cada nodo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">61&lt;/span> &lt;span class="n">list&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="kt">int&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">&amp;gt;&lt;/span> &lt;span class="n">nodesOrder&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="c1">//Una lista ordenada de mayor a menor por la profundidad de cada nodo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">62&lt;/span> &lt;span class="n">Graph&lt;/span> &lt;span class="n">tree&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="c1">//Mi arbol
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">63&lt;/span> &lt;span class="n">Queue&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">pii&lt;/span>&lt;span class="o">&amp;gt;&lt;/span> &lt;span class="n">searchDepth&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="c1">//Una cola para la busqueda
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">64&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">65&lt;/span> &lt;span class="c1">//Regresa el color valido por cada nodo permitiendo que un nodo no sea de un color
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">66&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">validColor&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">node&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">constraint&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">67&lt;/span> &lt;span class="k">for&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">i&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">i&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">M&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="o">++&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">68&lt;/span> &lt;span class="nf">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColors&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">node&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">i&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="n">constraint&lt;/span> &lt;span class="o">!=&lt;/span> &lt;span class="n">i&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">69&lt;/span> &lt;span class="k">return&lt;/span> &lt;span class="n">i&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">70&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">71&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">72&lt;/span> &lt;span class="k">return&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">73&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">74&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">75&lt;/span> &lt;span class="c1">//Funcion para la lectura de todas las variables y la inicializacion de las estructuras
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">76&lt;/span> &lt;span class="c1">//Los asserts son para probar que el codigo es correcto
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">77&lt;/span> &lt;span class="o">/&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">Guarda&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">allowedColors&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">posibles&lt;/span> &lt;span class="n">colores&lt;/span> &lt;span class="n">por&lt;/span> &lt;span class="n">nodo&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">una&lt;/span> &lt;span class="n">matriz&lt;/span>&lt;span class="err">\*/&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">78&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="n">read&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">79&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">node&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">prohibited&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">80&lt;/span> &lt;span class="nf">scanf&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="s">&amp;#34;%d%d&amp;#34;&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">&amp;amp;&lt;/span>&lt;span class="n">N&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">&amp;amp;&lt;/span>&lt;span class="n">M&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">81&lt;/span> &lt;span class="nf">assert&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">1&lt;/span> &lt;span class="o">&amp;lt;=&lt;/span> &lt;span class="n">N&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="n">N&lt;/span> &lt;span class="o">&amp;lt;=&lt;/span> &lt;span class="n">MAXN&lt;/span>&lt;span class="o">-&lt;/span>&lt;span class="mi">2&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">82&lt;/span> &lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">M&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">83&lt;/span> &lt;span class="nf">memset&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColors&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="nb">true&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="k">sizeof&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColors&lt;/span>&lt;span class="p">));&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">84&lt;/span> &lt;span class="k">for&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">1&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="o">++&lt;/span>&lt;span class="n">k&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">85&lt;/span> &lt;span class="nf">scanf&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="s">&amp;#34;%d&amp;#34;&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">&amp;amp;&lt;/span>&lt;span class="n">node&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">86&lt;/span> &lt;span class="nf">assert&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span> &lt;span class="o">&amp;lt;=&lt;/span> &lt;span class="n">node&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="n">node&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">87&lt;/span> &lt;span class="n">parents&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">node&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">88&lt;/span> &lt;span class="n">tree&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">addNode&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">node&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">k&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">89&lt;/span> &lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">M&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">90&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">91&lt;/span> &lt;span class="nf">scanf&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="s">&amp;#34;%d&amp;#34;&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">&amp;amp;&lt;/span>&lt;span class="n">C&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">92&lt;/span> &lt;span class="k">for&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">C&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="o">++&lt;/span>&lt;span class="n">k&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">93&lt;/span> &lt;span class="nf">scanf&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="s">&amp;#34;%d%d&amp;#34;&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">&amp;amp;&lt;/span>&lt;span class="n">node&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">&amp;amp;&lt;/span>&lt;span class="n">prohibited&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">94&lt;/span> &lt;span class="nf">assert&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span> &lt;span class="o">&amp;lt;=&lt;/span> &lt;span class="n">node&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="n">node&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">N&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="mi">0&lt;/span> &lt;span class="o">&amp;lt;=&lt;/span> &lt;span class="n">prohibited&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="n">prohibited&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">M&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">95&lt;/span> &lt;span class="nf">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColors&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">node&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">prohibited&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">])&lt;/span> &lt;span class="p">{&lt;/span> &lt;span class="c1">//Checa que los nodos no se repitan ya que se pueden repetir
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="mi">96&lt;/span> &lt;span class="n">allowedColors&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">node&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">prohibited&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="nb">false&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">97&lt;/span> &lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">node&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">--&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">98&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="mi">99&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">100&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">101&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">102&lt;/span> &lt;span class="o">/&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">Una&lt;/span> &lt;span class="n">busqueda&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">amplitud&lt;/span> &lt;span class="n">para&lt;/span> &lt;span class="s">&amp;#34;linearizar el árbol&amp;#34;&lt;/span>&lt;span class="err">\*/&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">103&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="n">orderNodes&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">104&lt;/span> &lt;span class="n">searchDepth&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">push&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">make&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_pair&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">));&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">105&lt;/span> &lt;span class="nf">while&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="o">!&lt;/span>&lt;span class="n">searchDepth&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">empty&lt;/span>&lt;span class="p">())&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">106&lt;/span> &lt;span class="n">pii&lt;/span> &lt;span class="n">value&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">searchDepth&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">front&lt;/span>&lt;span class="p">();&lt;/span> &lt;span class="n">searchDepth&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">pop&lt;/span>&lt;span class="p">();&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">107&lt;/span> &lt;span class="n">nodesOrder&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">push&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_front&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">value&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">first&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">108&lt;/span> &lt;span class="n">TR&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">tree&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">nodes&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">value&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">first&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">],&lt;/span> &lt;span class="n">it&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">109&lt;/span> &lt;span class="n">searchDepth&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">push&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">make&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="n">_pair&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">it&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">value&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">second&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="mi">1&lt;/span>&lt;span class="p">));&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">110&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">111&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">112&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">113&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">114&lt;/span> &lt;span class="o">/&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">Checa&lt;/span> &lt;span class="n">por&lt;/span> &lt;span class="n">cada&lt;/span> &lt;span class="n">nodo&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">mayor&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="n">menor&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">linearizacion&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">colores&lt;/span> &lt;span class="n">posibles&lt;/span> &lt;span class="n">por&lt;/span> &lt;span class="n">nodo&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">solo&lt;/span> &lt;span class="n">tiene&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="n">color&lt;/span> &lt;span class="n">posible&lt;/span>&lt;span class="err">\*/&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">115&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="n">enforceArc&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">116&lt;/span> &lt;span class="nf">TR&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">nodesOrder&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">it&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">117&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">currNode&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">it&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">118&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">parent&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">parents&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">it&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">];&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">119&lt;/span> &lt;span class="k">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">currNode&lt;/span> &lt;span class="o">!=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">120&lt;/span> &lt;span class="k">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">currNode&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">1&lt;/span> &lt;span class="o">||&lt;/span> &lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">parent&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">1&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">121&lt;/span> &lt;span class="k">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">parent&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">1&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">122&lt;/span> &lt;span class="n">swap&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">currNode&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">parent&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">123&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">124&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">color&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">validColor&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">currNode&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">125&lt;/span> &lt;span class="c1">//printf(&amp;#34;%d %d %d\\n&amp;#34;, currNode, parent, color);
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span>&lt;span class="mi">126&lt;/span> &lt;span class="k">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColors&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">parent&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">color&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">])&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">127&lt;/span> &lt;span class="n">allowedColors&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">parent&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">color&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="nb">false&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">128&lt;/span> &lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">parent&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">--&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">129&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">130&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">131&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">132&lt;/span> &lt;span class="c1">//Si no hay colores posibles, no se puede resolver el mapa
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span>&lt;span class="mi">133&lt;/span> &lt;span class="k">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">currNode&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">&amp;lt;=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">134&lt;/span> &lt;span class="n">printf&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="s">&amp;#34;-1&lt;/span>&lt;span class="se">\\&lt;/span>&lt;span class="s">n&amp;#34;&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">135&lt;/span> &lt;span class="n">exit&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">136&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">137&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">138&lt;/span> &lt;span class="c1">//Checa de nuevo si alguno de los colores no puede ser
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span>&lt;span class="mi">139&lt;/span> &lt;span class="k">for&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="o">++&lt;/span>&lt;span class="n">k&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">140&lt;/span> &lt;span class="nf">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">allowedColorsSize&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">141&lt;/span> &lt;span class="n">printf&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="s">&amp;#34;-1&lt;/span>&lt;span class="se">\\&lt;/span>&lt;span class="s">n&amp;#34;&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">142&lt;/span> &lt;span class="n">exit&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">143&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">144&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">145&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">146&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">147&lt;/span> &lt;span class="c1">//Hace un ciclo checando el menor color posible por nodo e imprime los colores menores
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span>&lt;span class="mi">148&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="n">findSolution&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">149&lt;/span> &lt;span class="n">colorAssigned&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">0&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="o">-&lt;/span>&lt;span class="mi">1&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">150&lt;/span> &lt;span class="n">list&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="kt">int&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">&amp;gt;::&lt;/span>&lt;span class="n">iterator&lt;/span> &lt;span class="n">it&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">nodesOrder&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">end&lt;/span>&lt;span class="p">();&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">151&lt;/span> &lt;span class="k">do&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">152&lt;/span> &lt;span class="n">it&lt;/span> &lt;span class="o">--&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">153&lt;/span> &lt;span class="nf">assert&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span> &lt;span class="o">&amp;lt;=&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">it&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">it&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">154&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">color&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">validColor&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">it&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">155&lt;/span> &lt;span class="nf">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">colorAssigned&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">parents&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">it&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="n">color&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">156&lt;/span> &lt;span class="n">color&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">validColor&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">it&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">color&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">157&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">158&lt;/span> &lt;span class="nf">assert&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="mi">0&lt;/span> &lt;span class="o">&amp;lt;=&lt;/span> &lt;span class="n">color&lt;/span> &lt;span class="o">&amp;amp;&amp;amp;&lt;/span> &lt;span class="n">color&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">M&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">159&lt;/span> &lt;span class="n">colorAssigned&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">it&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">color&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">160&lt;/span> &lt;span class="p">}&lt;/span> &lt;span class="k">while&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">it&lt;/span> &lt;span class="o">!=&lt;/span> &lt;span class="n">nodesOrder&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">begin&lt;/span>&lt;span class="p">())&lt;/span> &lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">161&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">162&lt;/span> &lt;span class="k">for&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">k&lt;/span> &lt;span class="o">&amp;lt;&lt;/span> &lt;span class="n">N&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="o">++&lt;/span>&lt;span class="n">k&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">163&lt;/span> &lt;span class="nf">printf&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="s">&amp;#34;%d&lt;/span>&lt;span class="se">\\&lt;/span>&lt;span class="s">n&amp;#34;&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">colorAssigned&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">k&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">164&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">165&lt;/span> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">166&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">167&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="nf">main&lt;/span>&lt;span class="p">()&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">168&lt;/span> &lt;span class="n">read&lt;/span>&lt;span class="p">();&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">169&lt;/span> &lt;span class="n">orderNodes&lt;/span>&lt;span class="p">();&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">170&lt;/span> &lt;span class="n">enforceArc&lt;/span>&lt;span class="p">();&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">171&lt;/span> &lt;span class="n">findSolution&lt;/span>&lt;span class="p">();&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">172&lt;/span> &lt;span class="k">return&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="mi">173&lt;/span> &lt;span class="p">}&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
@@ -1164,36 +1164,36 @@ termina()&lt;/p>
 &lt;p>Si tomamos la misma idea pero ahora teniendo en cuenta que existen rectángulos adhesivos, nos encontramos con el problema de que si rasgamos un cuadro necesitamos recordar el color la capa de papel que se encontraba debajo de la capa &amp;ldquo;visible&amp;rdquo;, y además podemos rasgar tantas veces como capas de papel hemos puesto. Con esto tenemos que necesitamos guardar un número de valores igual al número de capas que hemos puesto. Además tenemos que tener en cuenta el orden en el que fuimos poniendo las capas; esto es la última capa que pusimos debe de recordarse primero que la primera que pusimos, o en otras palabras: El primero que entras es el último que sale, así como el el último que entra es el primero que sale. Ese comportamiento lo encontramos en la estructura de datos Pila (Si no conoces la estructura de datos, puedes consultarla &lt;a href="http://es.wikipedia.org/wiki/Pila_%28inform%c3%a1tica%29" target="_blank" rel="noopener">acá&lt;/a>).&lt;/p>
 &lt;p>A continuación se encuentra la implementación de una estrúctura Pila que nos serviría para este problema:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">struct&lt;/span> &lt;span style="color:#a6e22e">Pila&lt;/span>{
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">char&lt;/span> arreglo[&lt;span style="color:#ae81ff">2002&lt;/span>];
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">short&lt;/span> &lt;span style="color:#66d9ef">int&lt;/span> posActual;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e">//Devuelve si la pila esta vacia
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">bool&lt;/span> &lt;span style="color:#a6e22e">estaVacia&lt;/span>(){
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> posActual &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e">//inserta un elemento en cima de la pila
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">void&lt;/span> &lt;span style="color:#a6e22e">push&lt;/span>(&lt;span style="color:#66d9ef">char&lt;/span> valor){
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> posActual&lt;span style="color:#f92672">++&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> arreglo[posActual] &lt;span style="color:#f92672">=&lt;/span> valor;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e">//quita el elemento de la cima de la pila y lo devuelve
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">char&lt;/span> &lt;span style="color:#a6e22e">pop&lt;/span>(){
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">char&lt;/span> valor &lt;span style="color:#f92672">=&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">if&lt;/span>(&lt;span style="color:#f92672">!&lt;/span>estaVacia()){
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> valor &lt;span style="color:#f92672">=&lt;/span> arreglo[posActual];
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> posActual&lt;span style="color:#f92672">--&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> valor;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e">//devuelve el valor del elemento de la cima de la pila
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">char&lt;/span> &lt;span style="color:#a6e22e">top&lt;/span>(){
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> arreglo[posActual];
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>};
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl">&lt;span class="k">struct&lt;/span> &lt;span class="nc">Pila&lt;/span>&lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">char&lt;/span> &lt;span class="n">arreglo&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="mi">2002&lt;/span>&lt;span class="p">];&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">short&lt;/span> &lt;span class="kt">int&lt;/span> &lt;span class="n">posActual&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="c1">//Devuelve si la pila esta vacia
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="kt">bool&lt;/span> &lt;span class="nf">estaVacia&lt;/span>&lt;span class="p">(){&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="n">posActual&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="c1">//inserta un elemento en cima de la pila
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="kt">void&lt;/span> &lt;span class="nf">push&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="kt">char&lt;/span> &lt;span class="n">valor&lt;/span>&lt;span class="p">){&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">posActual&lt;/span>&lt;span class="o">++&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">arreglo&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">posActual&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">valor&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="c1">//quita el elemento de la cima de la pila y lo devuelve
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="kt">char&lt;/span> &lt;span class="nf">pop&lt;/span>&lt;span class="p">(){&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">char&lt;/span> &lt;span class="n">valor&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">if&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="o">!&lt;/span>&lt;span class="n">estaVacia&lt;/span>&lt;span class="p">()){&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">valor&lt;/span> &lt;span class="o">=&lt;/span> &lt;span class="n">arreglo&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">posActual&lt;/span>&lt;span class="p">];&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">posActual&lt;/span>&lt;span class="o">--&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="n">valor&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="c1">//devuelve el valor del elemento de la cima de la pila
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="kt">char&lt;/span> &lt;span class="nf">top&lt;/span>&lt;span class="p">(){&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="n">arreglo&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">posActual&lt;/span>&lt;span class="p">];&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="p">};&lt;/span>
 &lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
diff --git a/tags/study-material/index.html b/tags/study-material/index.html
index 0bf1848..8426944 100644
--- a/tags/study-material/index.html
+++ b/tags/study-material/index.html
@@ -1,6 +1,10 @@
 <!doctype html><html lang=es><head><meta charset=utf-8><meta name=viewport content="width=device-width,initial-scale=1"><meta name=robots content="index, follow"><link rel="icon shortcut" href=/favicon.ico sizes=32x32><link rel=icon href=/favicon.svg type=image/svg+xml><link rel=icon href=/favicon-dark.svg type=image/svg+xml media="(prefers-color-scheme: dark)"><link rel=icon href=/favicon-16x16.png type=image/png sizes=16x16><link rel=icon href=/favicon-32x32.png type=image/png sizes=32x32><link rel=apple-touch-icon href=/apple-touch-icon.png sizes=180x180><link fetchpriority=low href=/site.webmanifest rel=manifest><title>Study Material – omegaUp blog</title>
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diff --git a/tags/study-material/index.xml b/tags/study-material/index.xml
index e300deb..2bc3ca7 100644
--- a/tags/study-material/index.xml
+++ b/tags/study-material/index.xml
@@ -2,48 +2,48 @@
 &lt;p>Gracias @Rodrigo-RCC por este aporte!&lt;/p>
 &lt;p>El límite de memoria de un problema puede cambiar drásticamente la forma en la que podemos resolverlo. Por ejemplo, el problema &lt;a href="https://omegaup.com/arena/problem/La-especie-dominante-en-marte" target="_blank" rel="noopener">https://omegaup.com/arena/problem/La-especie-dominante-en-marte&lt;/a> nos pide encontrar el número que más se repite en una secuencia, si además sabemos que ese número aparece al menos más de la mitad de las veces. Si estamos usando C++ y conocemos relativamente bien la biblioteca estándar del lenguaje, nuestro primer intento sería algo así:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#include&lt;/span> &lt;span style="color:#75715e">&amp;lt;iostream&amp;gt;&lt;/span>&lt;span style="color:#75715e">
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#include&lt;/span> &lt;span style="color:#75715e">&amp;lt;map&amp;gt;&lt;/span>&lt;span style="color:#75715e">
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">int&lt;/span> &lt;span style="color:#a6e22e">main&lt;/span>( ) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> std&lt;span style="color:#f92672">::&lt;/span>map&lt;span style="color:#f92672">&amp;lt;&lt;/span>&lt;span style="color:#66d9ef">int&lt;/span>, &lt;span style="color:#66d9ef">int&lt;/span>&lt;span style="color:#f92672">&amp;gt;&lt;/span> frecuencias;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">for&lt;/span> (&lt;span style="color:#66d9ef">int&lt;/span> n; std&lt;span style="color:#f92672">::&lt;/span>cin &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> n;) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> frecuencias&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>[n&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>] &lt;span style="color:#f92672">+=&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e">// revisar qué valor apareció más e imprimirlo
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>}
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si enviamos el código anterior, nos llevaremos la desagradable sorpresa de obtener &lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span>MLE&lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span> (memoria límite excedida). Aunque esta publicación no tiene por objetivo explicar cómo se resuelve el problema, sí podemos mencionar que lo adecuado es un &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>algoritmo de streaming&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span> que surgió en el &lt;span style="color:#960050;background-color:#1e0010">á&lt;/span>rea de lo que ahora se conoce como &lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>Big Data&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">*&lt;/span>. Entonces, el límite bajo de memoria es un intento de obligar al usuario a deducir dicho algoritmo, el cual usa &lt;span style="color:#960050;background-color:#1e0010">ú&lt;/span>nicamente tres variables enteras. Desafortunadamente, incluso el siguiente código...
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#960050;background-color:#1e0010">```&lt;/span>cpp
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#include&lt;/span> &lt;span style="color:#75715e">&amp;lt;iostream&amp;gt;&lt;/span>&lt;span style="color:#75715e">
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">int&lt;/span> main( ) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e">// leer la entrada y no hacer nada con ella
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e">// no nos sabemos el algoritmo y tenemos poca memoria :(
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span> (&lt;span style="color:#66d9ef">int&lt;/span> n; std&lt;span style="color:#f92672">::&lt;/span>cin &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> n;) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">continue&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>}
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#960050;background-color:#1e0010">¡&lt;/span>También supera la memoria límite del problema&lt;span style="color:#f92672">!&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Un usuario podría pensar (equivocadamente) que entonces el problema es imposible de resolver. Para evitar esta confusión, los usuarios de la plataforma deben tomar en cuenta lo siguiente:
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#960050;background-color:#1e0010">\&lt;/span>&lt;span style="color:#f92672">-&lt;/span> Existe un &lt;span style="color:#960050;background-color:#1e0010">ú&lt;/span>nico límite de memoria por problema, el cual es independiente del lenguaje de programación usado. En el problema descrito previamente, el autor no quiso aumentar artificialmente el límite de memoria sólo para aceptar envíos en todos los lenguajes, porque eso implicaría que alguien que use un lenguaje eficiente podría idear un algoritmo que no era el que el autor quería permitir. Entonces, es verdad que algunos problemas no se pueden resolver en ciertos lenguajes de programación, pero el autor debería garantizar que el problema se puede resolver de forma razonable en por lo menos un lenguaje de programación (de preferencia C y C&lt;span style="color:#f92672">++&lt;/span>).
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#f92672">-&lt;/span> La biblioteca &lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span>&lt;span style="color:#f92672">&amp;lt;&lt;/span>iostream&lt;span style="color:#f92672">&amp;gt;&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span> de C&lt;span style="color:#f92672">++&lt;/span> consume mucha más memoria de la que uno podría imaginar inicialmente. Esto se puede verificar resolviendo un problema de &lt;span style="color:#e6db74">&amp;#34;Hola Mundo&amp;#34;&lt;/span> usando &lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span>&lt;span style="color:#f92672">&amp;lt;&lt;/span>iostream&lt;span style="color:#f92672">&amp;gt;&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span> y luego comparándolo con uno que sólo usa &lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span>&lt;span style="color:#f92672">&amp;lt;&lt;/span>stdio.h&lt;span style="color:#f92672">&amp;gt;&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span>. Peor aún, basta incluir &lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span>&lt;span style="color:#f92672">&amp;lt;&lt;/span>iostream&lt;span style="color:#f92672">&amp;gt;&lt;/span>&lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span> para que el consumo de memoria del programa aumente, ya que la inclusión de ese archivo al menos provoca que los objetos globales &lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span>std&lt;span style="color:#f92672">::&lt;/span>cin&lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span> y &lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span>std&lt;span style="color:#f92672">::&lt;/span>cout&lt;span style="color:#960050;background-color:#1e0010">\`&lt;/span> se inicialicen.
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>El siguiente código no calcula la respuesta correcta, pero al menos al menos no superará el límite de memoria :)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#960050;background-color:#1e0010">```&lt;/span>cpp
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#include&lt;/span> &lt;span style="color:#75715e">&amp;lt;stdio.h&amp;gt;&lt;/span>&lt;span style="color:#75715e">
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">int&lt;/span> main( ) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#75715e">// leer la entrada y no hacer nada con ella
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#75715e">// no nos sabemos el algoritmo :(
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span> &lt;span style="color:#66d9ef">for&lt;/span> (&lt;span style="color:#66d9ef">int&lt;/span> n; scanf(&lt;span style="color:#e6db74">&amp;#34;%d&amp;#34;&lt;/span>, &lt;span style="color:#f92672">&amp;amp;&lt;/span>n) &lt;span style="color:#f92672">==&lt;/span> &lt;span style="color:#ae81ff">1&lt;/span>;) {
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">continue&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> }
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>}
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Esperamos que esta publicación les haya ayudado a tener una idea más cercana de cómo atacar cierto tipo de problemas inusuales y los invitamos a resolver el problema mencionado en el juez en línea.&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#include&lt;/span> &lt;span class="cpf">&amp;lt;iostream&amp;gt;&lt;/span>&lt;span class="cp">
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#include&lt;/span> &lt;span class="cpf">&amp;lt;map&amp;gt;&lt;/span>&lt;span class="cp">
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="kt">int&lt;/span> &lt;span class="nf">main&lt;/span>&lt;span class="p">(&lt;/span> &lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">map&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="kt">int&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="kt">int&lt;/span>&lt;span class="o">&amp;gt;&lt;/span> &lt;span class="n">frecuencias&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">for&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">n&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cin&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="n">n&lt;/span>&lt;span class="p">;)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">frecuencias&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">[&lt;/span>&lt;span class="n">n&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="p">]&lt;/span> &lt;span class="o">+=&lt;/span> &lt;span class="mi">1&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="c1">// revisar qué valor apareció más e imprimirlo
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span>&lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">enviamos&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">código&lt;/span> &lt;span class="n">anterior&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">nos&lt;/span> &lt;span class="n">llevaremos&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">desagradable&lt;/span> &lt;span class="n">sorpresa&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">obtener&lt;/span> &lt;span class="err">\`&lt;/span>&lt;span class="n">MLE&lt;/span>&lt;span class="err">\`&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">memoria&lt;/span> &lt;span class="n">límite&lt;/span> &lt;span class="n">excedida&lt;/span>&lt;span class="p">).&lt;/span> &lt;span class="n">Aunque&lt;/span> &lt;span class="n">esta&lt;/span> &lt;span class="n">publicación&lt;/span> &lt;span class="n">no&lt;/span> &lt;span class="n">tiene&lt;/span> &lt;span class="n">por&lt;/span> &lt;span class="n">objetivo&lt;/span> &lt;span class="n">explicar&lt;/span> &lt;span class="n">cómo&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">resuelve&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">problema&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sí&lt;/span> &lt;span class="n">podemos&lt;/span> &lt;span class="n">mencionar&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">lo&lt;/span> &lt;span class="n">adecuado&lt;/span> &lt;span class="n">es&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">algoritmo&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">streaming&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">surgió&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="err">á&lt;/span>&lt;span class="n">rea&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">lo&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">ahora&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">conoce&lt;/span> &lt;span class="n">como&lt;/span> &lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="n">Big&lt;/span> &lt;span class="n">Data&lt;/span>&lt;span class="err">\&lt;/span>&lt;span class="o">*&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">Entonces&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">límite&lt;/span> &lt;span class="n">bajo&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">memoria&lt;/span> &lt;span class="n">es&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="n">intento&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">obligar&lt;/span> &lt;span class="n">al&lt;/span> &lt;span class="n">usuario&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="n">deducir&lt;/span> &lt;span class="n">dicho&lt;/span> &lt;span class="n">algoritmo&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">cual&lt;/span> &lt;span class="n">usa&lt;/span> &lt;span class="err">ú&lt;/span>&lt;span class="n">nicamente&lt;/span> &lt;span class="n">tres&lt;/span> &lt;span class="n">variables&lt;/span> &lt;span class="n">enteras&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">Desafortunadamente&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">incluso&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">siguiente&lt;/span> &lt;span class="n">código&lt;/span>&lt;span class="p">...&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="err">```&lt;/span>&lt;span class="n">cpp&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#include&lt;/span> &lt;span class="cpf">&amp;lt;iostream&amp;gt;&lt;/span>&lt;span class="cp">
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="kt">int&lt;/span> &lt;span class="n">main&lt;/span>&lt;span class="p">(&lt;/span> &lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="c1">// leer la entrada y no hacer nada con ella
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="c1">// no nos sabemos el algoritmo y tenemos poca memoria :(
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="k">for&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">n&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cin&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="n">n&lt;/span>&lt;span class="p">;)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">continue&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="err">¡&lt;/span>&lt;span class="n">También&lt;/span> &lt;span class="n">supera&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">memoria&lt;/span> &lt;span class="n">límite&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">problema&lt;/span>&lt;span class="o">!&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Un&lt;/span> &lt;span class="n">usuario&lt;/span> &lt;span class="n">podría&lt;/span> &lt;span class="n">pensar&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">equivocadamente&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">entonces&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">problema&lt;/span> &lt;span class="n">es&lt;/span> &lt;span class="n">imposible&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">resolver&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">Para&lt;/span> &lt;span class="n">evitar&lt;/span> &lt;span class="n">esta&lt;/span> &lt;span class="n">confusión&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">usuarios&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">plataforma&lt;/span> &lt;span class="n">deben&lt;/span> &lt;span class="n">tomar&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">cuenta&lt;/span> &lt;span class="n">lo&lt;/span> &lt;span class="nl">siguiente&lt;/span>&lt;span class="p">:&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="err">\&lt;/span>&lt;span class="o">-&lt;/span> &lt;span class="n">Existe&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="err">ú&lt;/span>&lt;span class="n">nico&lt;/span> &lt;span class="n">límite&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">memoria&lt;/span> &lt;span class="n">por&lt;/span> &lt;span class="n">problema&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">cual&lt;/span> &lt;span class="n">es&lt;/span> &lt;span class="n">independiente&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">lenguaje&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">programación&lt;/span> &lt;span class="n">usado&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">En&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">problema&lt;/span> &lt;span class="n">descrito&lt;/span> &lt;span class="n">previamente&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">autor&lt;/span> &lt;span class="n">no&lt;/span> &lt;span class="n">quiso&lt;/span> &lt;span class="n">aumentar&lt;/span> &lt;span class="n">artificialmente&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">límite&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">memoria&lt;/span> &lt;span class="n">sólo&lt;/span> &lt;span class="n">para&lt;/span> &lt;span class="n">aceptar&lt;/span> &lt;span class="n">envíos&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">todos&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">lenguajes&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">porque&lt;/span> &lt;span class="n">eso&lt;/span> &lt;span class="n">implicaría&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">alguien&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">use&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="n">lenguaje&lt;/span> &lt;span class="n">eficiente&lt;/span> &lt;span class="n">podría&lt;/span> &lt;span class="n">idear&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="n">algoritmo&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">no&lt;/span> &lt;span class="n">era&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">autor&lt;/span> &lt;span class="n">quería&lt;/span> &lt;span class="n">permitir&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">Entonces&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">es&lt;/span> &lt;span class="n">verdad&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">algunos&lt;/span> &lt;span class="n">problemas&lt;/span> &lt;span class="n">no&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">pueden&lt;/span> &lt;span class="n">resolver&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">ciertos&lt;/span> &lt;span class="n">lenguajes&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">programación&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">pero&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">autor&lt;/span> &lt;span class="n">debería&lt;/span> &lt;span class="n">garantizar&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">problema&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">puede&lt;/span> &lt;span class="n">resolver&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">forma&lt;/span> &lt;span class="n">razonable&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">por&lt;/span> &lt;span class="n">lo&lt;/span> &lt;span class="n">menos&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="n">lenguaje&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">programación&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="n">de&lt;/span> &lt;span class="n">preferencia&lt;/span> &lt;span class="n">C&lt;/span> &lt;span class="n">y&lt;/span> &lt;span class="n">C&lt;/span>&lt;span class="o">++&lt;/span>&lt;span class="p">).&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="o">-&lt;/span> &lt;span class="n">La&lt;/span> &lt;span class="n">biblioteca&lt;/span> &lt;span class="err">\`&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">iostream&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>&lt;span class="err">\`&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">C&lt;/span>&lt;span class="o">++&lt;/span> &lt;span class="n">consume&lt;/span> &lt;span class="n">mucha&lt;/span> &lt;span class="n">más&lt;/span> &lt;span class="n">memoria&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">uno&lt;/span> &lt;span class="n">podría&lt;/span> &lt;span class="n">imaginar&lt;/span> &lt;span class="n">inicialmente&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">Esto&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">puede&lt;/span> &lt;span class="n">verificar&lt;/span> &lt;span class="n">resolviendo&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="n">problema&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="s">&amp;#34;Hola Mundo&amp;#34;&lt;/span> &lt;span class="n">usando&lt;/span> &lt;span class="err">\`&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">iostream&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>&lt;span class="err">\`&lt;/span> &lt;span class="n">y&lt;/span> &lt;span class="n">luego&lt;/span> &lt;span class="n">comparándolo&lt;/span> &lt;span class="n">con&lt;/span> &lt;span class="n">uno&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">sólo&lt;/span> &lt;span class="n">usa&lt;/span> &lt;span class="err">\`&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">stdio&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">h&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>&lt;span class="err">\`&lt;/span>&lt;span class="p">.&lt;/span> &lt;span class="n">Peor&lt;/span> &lt;span class="n">aún&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">basta&lt;/span> &lt;span class="n">incluir&lt;/span> &lt;span class="err">\`&lt;/span>&lt;span class="o">&amp;lt;&lt;/span>&lt;span class="n">iostream&lt;/span>&lt;span class="o">&amp;gt;&lt;/span>&lt;span class="err">\`&lt;/span> &lt;span class="n">para&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">consumo&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">memoria&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">programa&lt;/span> &lt;span class="n">aumente&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">ya&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">inclusión&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">ese&lt;/span> &lt;span class="n">archivo&lt;/span> &lt;span class="n">al&lt;/span> &lt;span class="n">menos&lt;/span> &lt;span class="n">provoca&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">objetos&lt;/span> &lt;span class="n">globales&lt;/span> &lt;span class="err">\`&lt;/span>&lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cin&lt;/span>&lt;span class="err">\`&lt;/span> &lt;span class="n">y&lt;/span> &lt;span class="err">\`&lt;/span>&lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cout&lt;/span>&lt;span class="err">\`&lt;/span> &lt;span class="n">se&lt;/span> &lt;span class="n">inicialicen&lt;/span>&lt;span class="p">.&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">El&lt;/span> &lt;span class="n">siguiente&lt;/span> &lt;span class="n">código&lt;/span> &lt;span class="n">no&lt;/span> &lt;span class="n">calcula&lt;/span> &lt;span class="n">la&lt;/span> &lt;span class="n">respuesta&lt;/span> &lt;span class="n">correcta&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">pero&lt;/span> &lt;span class="n">al&lt;/span> &lt;span class="n">menos&lt;/span> &lt;span class="n">al&lt;/span> &lt;span class="n">menos&lt;/span> &lt;span class="n">no&lt;/span> &lt;span class="n">superará&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">límite&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="nl">memoria&lt;/span> &lt;span class="p">:)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="err">```&lt;/span>&lt;span class="n">cpp&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#include&lt;/span> &lt;span class="cpf">&amp;lt;stdio.h&amp;gt;&lt;/span>&lt;span class="cp">
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="kt">int&lt;/span> &lt;span class="n">main&lt;/span>&lt;span class="p">(&lt;/span> &lt;span class="p">)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="c1">// leer la entrada y no hacer nada con ella
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="c1">// no nos sabemos el algoritmo :(
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="c1">&lt;/span> &lt;span class="k">for&lt;/span> &lt;span class="p">(&lt;/span>&lt;span class="kt">int&lt;/span> &lt;span class="n">n&lt;/span>&lt;span class="p">;&lt;/span> &lt;span class="n">scanf&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="s">&amp;#34;%d&amp;#34;&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="o">&amp;amp;&lt;/span>&lt;span class="n">n&lt;/span>&lt;span class="p">)&lt;/span> &lt;span class="o">==&lt;/span> &lt;span class="mi">1&lt;/span>&lt;span class="p">;)&lt;/span> &lt;span class="p">{&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">continue&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="p">}&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Esperamos&lt;/span> &lt;span class="n">que&lt;/span> &lt;span class="n">esta&lt;/span> &lt;span class="n">publicación&lt;/span> &lt;span class="n">les&lt;/span> &lt;span class="n">haya&lt;/span> &lt;span class="n">ayudado&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="n">tener&lt;/span> &lt;span class="n">una&lt;/span> &lt;span class="n">idea&lt;/span> &lt;span class="n">más&lt;/span> &lt;span class="n">cercana&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">cómo&lt;/span> &lt;span class="n">atacar&lt;/span> &lt;span class="n">cierto&lt;/span> &lt;span class="n">tipo&lt;/span> &lt;span class="n">de&lt;/span> &lt;span class="n">problemas&lt;/span> &lt;span class="n">inusuales&lt;/span> &lt;span class="n">y&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">invitamos&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="n">resolver&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">problema&lt;/span> &lt;span class="n">mencionado&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">juez&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">línea&lt;/span>&lt;span class="p">.&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
@@ -81,8 +81,8 @@ title="Copiar código"
 &lt;p>Resulta que cin/cout son muy buenos amigos de scanf/printf. Como son tan buenos amigos, al realizar la lectura y salida no querían alejarse demasiado, por lo que cin/cout tenía que sincronizarse para estar siempre a la par de scanf/printf.&lt;/p>
 &lt;p>Para no hacer el cuento largo, hay una forma de desactivar la opción de sincronización entre cin/cout y scanf/printf, solo es necesario incluir al inicio del main:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-c++" data-lang="c++">&lt;span style="display:flex;">&lt;span>std&lt;span style="color:#f92672">::&lt;/span>cin.tie(&lt;span style="color:#66d9ef">nullptr&lt;/span>);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>std&lt;span style="color:#f92672">::&lt;/span>ios_base&lt;span style="color:#f92672">::&lt;/span>sync_with_stdio(false);&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-c++" data-lang="c++">&lt;span class="line">&lt;span class="cl">&lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cin&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tie&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="k">nullptr&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">ios_base&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">sync_with_stdio&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="nb">false&lt;/span>&lt;span class="p">);&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
@@ -101,16 +101,16 @@ title="Copiar código"
 &lt;p>Aunque el objetivo original no es ganar unas cuantas centésimas de segundo en eficiencia, sino dar la oportunidad a aquellos olímpicos que no manejan scanf/printf para seguir usando cin/cout sin enfrentarse a más complicaciones.&lt;/p>
 &lt;p>Finalmente les dejó un ejemplo de cómo usar todo lo anterior en un código de C++. Espero que algo de esto les pueda ayudar en el futuro. Les deseo lo mejor :)&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-c++" data-lang="c++">&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#include&lt;/span> &lt;span style="color:#75715e">&amp;lt;bits/stdc++.h&amp;gt;&lt;/span>&lt;span style="color:#75715e">
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#define optimizar_io do { std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); } while(false)`
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">int&lt;/span> &lt;span style="color:#a6e22e">main&lt;/span>(){
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> optimizar_io;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">int&lt;/span> a, b;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> std&lt;span style="color:#f92672">::&lt;/span>cin &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> a &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> b;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> std&lt;span style="color:#f92672">::&lt;/span>cout &lt;span style="color:#f92672">&amp;lt;&amp;lt;&lt;/span> a &lt;span style="color:#f92672">+&lt;/span> b &lt;span style="color:#f92672">&amp;lt;&amp;lt;&lt;/span> &lt;span style="color:#e6db74">&amp;#34;&lt;/span>&lt;span style="color:#ae81ff">\n&lt;/span>&lt;span style="color:#e6db74">&amp;#34;&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>}&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-c++" data-lang="c++">&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#include&lt;/span> &lt;span class="cpf">&amp;lt;bits/stdc++.h&amp;gt;&lt;/span>&lt;span class="cp">
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#define optimizar_io do { std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); } while(false)`
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="kt">int&lt;/span> &lt;span class="nf">main&lt;/span>&lt;span class="p">(){&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">optimizar_io&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">int&lt;/span> &lt;span class="n">a&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">b&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cin&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="n">b&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cout&lt;/span> &lt;span class="o">&amp;lt;&amp;lt;&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">b&lt;/span> &lt;span class="o">&amp;lt;&amp;lt;&lt;/span> &lt;span class="s">&amp;#34;&lt;/span>&lt;span class="se">\n&lt;/span>&lt;span class="s">&amp;#34;&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="p">}&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
diff --git a/tags/sumas/index.html b/tags/sumas/index.html
index e8e79de..0ab3468 100644
--- a/tags/sumas/index.html
+++ b/tags/sumas/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/tags/index.html b/tags/tags/index.html
index aae83e0..b56027c 100644
--- a/tags/tags/index.html
+++ b/tags/tags/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/trucos/index.html b/tags/trucos/index.html
index a87faa7..a24197c 100644
--- a/tags/trucos/index.html
+++ b/tags/trucos/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/trucos/index.xml b/tags/trucos/index.xml
index 417acdd..97ba6c7 100644
--- a/tags/trucos/index.xml
+++ b/tags/trucos/index.xml
@@ -10,8 +10,8 @@
 &lt;p>Resulta que cin/cout son muy buenos amigos de scanf/printf. Como son tan buenos amigos, al realizar la lectura y salida no querían alejarse demasiado, por lo que cin/cout tenía que sincronizarse para estar siempre a la par de scanf/printf.&lt;/p>
 &lt;p>Para no hacer el cuento largo, hay una forma de desactivar la opción de sincronización entre cin/cout y scanf/printf, solo es necesario incluir al inicio del main:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-c++" data-lang="c++">&lt;span style="display:flex;">&lt;span>std&lt;span style="color:#f92672">::&lt;/span>cin.tie(&lt;span style="color:#66d9ef">nullptr&lt;/span>);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>std&lt;span style="color:#f92672">::&lt;/span>ios_base&lt;span style="color:#f92672">::&lt;/span>sync_with_stdio(false);&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-c++" data-lang="c++">&lt;span class="line">&lt;span class="cl">&lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cin&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tie&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="k">nullptr&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">ios_base&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">sync_with_stdio&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="nb">false&lt;/span>&lt;span class="p">);&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
@@ -30,16 +30,16 @@ title="Copiar código"
 &lt;p>Aunque el objetivo original no es ganar unas cuantas centésimas de segundo en eficiencia, sino dar la oportunidad a aquellos olímpicos que no manejan scanf/printf para seguir usando cin/cout sin enfrentarse a más complicaciones.&lt;/p>
 &lt;p>Finalmente les dejó un ejemplo de cómo usar todo lo anterior en un código de C++. Espero que algo de esto les pueda ayudar en el futuro. Les deseo lo mejor :)&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-c++" data-lang="c++">&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#include&lt;/span> &lt;span style="color:#75715e">&amp;lt;bits/stdc++.h&amp;gt;&lt;/span>&lt;span style="color:#75715e">
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#define optimizar_io do { std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); } while(false)`
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">int&lt;/span> &lt;span style="color:#a6e22e">main&lt;/span>(){
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> optimizar_io;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">int&lt;/span> a, b;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> std&lt;span style="color:#f92672">::&lt;/span>cin &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> a &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> b;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> std&lt;span style="color:#f92672">::&lt;/span>cout &lt;span style="color:#f92672">&amp;lt;&amp;lt;&lt;/span> a &lt;span style="color:#f92672">+&lt;/span> b &lt;span style="color:#f92672">&amp;lt;&amp;lt;&lt;/span> &lt;span style="color:#e6db74">&amp;#34;&lt;/span>&lt;span style="color:#ae81ff">\n&lt;/span>&lt;span style="color:#e6db74">&amp;#34;&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>}&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-c++" data-lang="c++">&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#include&lt;/span> &lt;span class="cpf">&amp;lt;bits/stdc++.h&amp;gt;&lt;/span>&lt;span class="cp">
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#define optimizar_io do { std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); } while(false)`
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="kt">int&lt;/span> &lt;span class="nf">main&lt;/span>&lt;span class="p">(){&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">optimizar_io&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">int&lt;/span> &lt;span class="n">a&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">b&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cin&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="n">b&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cout&lt;/span> &lt;span class="o">&amp;lt;&amp;lt;&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">b&lt;/span> &lt;span class="o">&amp;lt;&amp;lt;&lt;/span> &lt;span class="s">&amp;#34;&lt;/span>&lt;span class="se">\n&lt;/span>&lt;span class="s">&amp;#34;&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="p">}&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
diff --git a/tags/uncategorized/index.html b/tags/uncategorized/index.html
index c5c9064..6064073 100644
--- a/tags/uncategorized/index.html
+++ b/tags/uncategorized/index.html
@@ -1,6 +1,10 @@
 <!doctype html><html lang=es><head><meta charset=utf-8><meta name=viewport content="width=device-width,initial-scale=1"><meta name=robots content="index, follow"><link rel="icon shortcut" href=/favicon.ico sizes=32x32><link rel=icon href=/favicon.svg type=image/svg+xml><link rel=icon href=/favicon-dark.svg type=image/svg+xml media="(prefers-color-scheme: dark)"><link rel=icon href=/favicon-16x16.png type=image/png sizes=16x16><link rel=icon href=/favicon-32x32.png type=image/png sizes=32x32><link rel=apple-touch-icon href=/apple-touch-icon.png sizes=180x180><link fetchpriority=low href=/site.webmanifest rel=manifest><title>Uncategorized – omegaUp blog</title>
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diff --git a/tags/usaco/index.html b/tags/usaco/index.html
index ee6ba9a..983c439 100644
--- a/tags/usaco/index.html
+++ b/tags/usaco/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/yolo/index.html b/tags/yolo/index.html
index e1ce55c..e93d8a0 100644
--- a/tags/yolo/index.html
+++ b/tags/yolo/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/yolo/index.xml b/tags/yolo/index.xml
index 4b195cd..d897cfb 100644
--- a/tags/yolo/index.xml
+++ b/tags/yolo/index.xml
@@ -10,8 +10,8 @@
 &lt;p>Resulta que cin/cout son muy buenos amigos de scanf/printf. Como son tan buenos amigos, al realizar la lectura y salida no querían alejarse demasiado, por lo que cin/cout tenía que sincronizarse para estar siempre a la par de scanf/printf.&lt;/p>
 &lt;p>Para no hacer el cuento largo, hay una forma de desactivar la opción de sincronización entre cin/cout y scanf/printf, solo es necesario incluir al inicio del main:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-c++" data-lang="c++">&lt;span style="display:flex;">&lt;span>std&lt;span style="color:#f92672">::&lt;/span>cin.tie(&lt;span style="color:#66d9ef">nullptr&lt;/span>);
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>std&lt;span style="color:#f92672">::&lt;/span>ios_base&lt;span style="color:#f92672">::&lt;/span>sync_with_stdio(false);&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-c++" data-lang="c++">&lt;span class="line">&lt;span class="cl">&lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cin&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">tie&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="k">nullptr&lt;/span>&lt;span class="p">);&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">ios_base&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">sync_with_stdio&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="nb">false&lt;/span>&lt;span class="p">);&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
@@ -30,16 +30,16 @@ title="Copiar código"
 &lt;p>Aunque el objetivo original no es ganar unas cuantas centésimas de segundo en eficiencia, sino dar la oportunidad a aquellos olímpicos que no manejan scanf/printf para seguir usando cin/cout sin enfrentarse a más complicaciones.&lt;/p>
 &lt;p>Finalmente les dejó un ejemplo de cómo usar todo lo anterior en un código de C++. Espero que algo de esto les pueda ayudar en el futuro. Les deseo lo mejor :)&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-c++" data-lang="c++">&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#include&lt;/span> &lt;span style="color:#75715e">&amp;lt;bits/stdc++.h&amp;gt;&lt;/span>&lt;span style="color:#75715e">
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">#define optimizar_io do { std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); } while(false)`
-&lt;/span>&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#75715e">&lt;/span>
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>&lt;span style="color:#66d9ef">int&lt;/span> &lt;span style="color:#a6e22e">main&lt;/span>(){
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> optimizar_io;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">int&lt;/span> a, b;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> std&lt;span style="color:#f92672">::&lt;/span>cin &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> a &lt;span style="color:#f92672">&amp;gt;&amp;gt;&lt;/span> b;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> std&lt;span style="color:#f92672">::&lt;/span>cout &lt;span style="color:#f92672">&amp;lt;&amp;lt;&lt;/span> a &lt;span style="color:#f92672">+&lt;/span> b &lt;span style="color:#f92672">&amp;lt;&amp;lt;&lt;/span> &lt;span style="color:#e6db74">&amp;#34;&lt;/span>&lt;span style="color:#ae81ff">\n&lt;/span>&lt;span style="color:#e6db74">&amp;#34;&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> &lt;span style="color:#66d9ef">return&lt;/span> &lt;span style="color:#ae81ff">0&lt;/span>;
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>}&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-c++" data-lang="c++">&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#include&lt;/span> &lt;span class="cpf">&amp;lt;bits/stdc++.h&amp;gt;&lt;/span>&lt;span class="cp">
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">#define optimizar_io do { std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); } while(false)`
+&lt;/span>&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="cp">&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="kt">int&lt;/span> &lt;span class="nf">main&lt;/span>&lt;span class="p">(){&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">optimizar_io&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="kt">int&lt;/span> &lt;span class="n">a&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">b&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cin&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="o">&amp;gt;&amp;gt;&lt;/span> &lt;span class="n">b&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">std&lt;/span>&lt;span class="o">::&lt;/span>&lt;span class="n">cout&lt;/span> &lt;span class="o">&amp;lt;&amp;lt;&lt;/span> &lt;span class="n">a&lt;/span> &lt;span class="o">+&lt;/span> &lt;span class="n">b&lt;/span> &lt;span class="o">&amp;lt;&amp;lt;&lt;/span> &lt;span class="s">&amp;#34;&lt;/span>&lt;span class="se">\n&lt;/span>&lt;span class="s">&amp;#34;&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="k">return&lt;/span> &lt;span class="mi">0&lt;/span>&lt;span class="p">;&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="p">}&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
 title="Copiar código"
diff --git a/tags/yorch/index.html b/tags/yorch/index.html
index 786ca1b..f8f1ac3 100644
--- a/tags/yorch/index.html
+++ b/tags/yorch/index.html
@@ -1,6 +1,10 @@
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diff --git a/tags/yorch/index.xml b/tags/yorch/index.xml
index 8a4eacd..4559fa7 100644
--- a/tags/yorch/index.xml
+++ b/tags/yorch/index.xml
@@ -5,15 +5,15 @@
 &lt;p>La solución a este problema consistía en programar el método descrito. Este método inherentemente está basado en la técnica de divide y vencerás.&lt;/p>
 &lt;p>A continuación, un pseudo-código que muestra la forma de llevar a cabo la transformación de un mapa de bits bidimensional a la forma reducida:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si todos los elementos en mapaDeBits son iguales
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Imprime el valor y termina
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si no
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Imprime D
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits.superiorIzquierdo)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits.superiorDerecho)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits.inferiorIzquierdo)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> ReduceMapa(mapaDeBits.inferiorDerecho)
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">todos&lt;/span> &lt;span class="n">los&lt;/span> &lt;span class="n">elementos&lt;/span> &lt;span class="n">en&lt;/span> &lt;span class="n">mapaDeBits&lt;/span> &lt;span class="n">son&lt;/span> &lt;span class="n">iguales&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Imprime&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">valor&lt;/span> &lt;span class="n">y&lt;/span> &lt;span class="n">termina&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">no&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Imprime&lt;/span> &lt;span class="n">D&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">superiorIzquierdo&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">superiorDerecho&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">inferiorIzquierdo&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">ReduceMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">inferiorDerecho&lt;/span>&lt;span class="p">)&lt;/span>
 &lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"
@@ -26,14 +26,14 @@ title="Copiar código"
 &lt;/div>
 &lt;p>El método para hacer la transformación inversa es muy parecido, sólo que para imprimir la equivalencia hay que comenzar con un mapa de bits bidimensional que nos sirva de variable auxiliar para hacer la conversión. Esta variable auxiliar se puede declarar de manera global y, cuando el método recursivo termine, simplemente imprimir su contenido:&lt;/p>
 &lt;div class="hextra-code-block hx-relative hx-mt-6 first:hx-mt-0 hx-group/code">
-&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;">&lt;code class="language-cpp" data-lang="cpp">&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits, sección)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si mapaDeBits comienza con un valor
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> Rellenar sección del mapa bidimensional con el valor
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span>Si no
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.superiorIzquierda)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.superiorDerecha)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.inferiorIzquierda)
-&lt;/span>&lt;/span>&lt;span style="display:flex;">&lt;span> AmplificaMapa(mapaDeBits.removerPrimerElemento, sección.inferiorDerecha)
+&lt;div>&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-cpp" data-lang="cpp">&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">mapaDeBits&lt;/span> &lt;span class="n">comienza&lt;/span> &lt;span class="n">con&lt;/span> &lt;span class="n">un&lt;/span> &lt;span class="n">valor&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">Rellenar&lt;/span> &lt;span class="n">sección&lt;/span> &lt;span class="n">del&lt;/span> &lt;span class="n">mapa&lt;/span> &lt;span class="n">bidimensional&lt;/span> &lt;span class="n">con&lt;/span> &lt;span class="n">el&lt;/span> &lt;span class="n">valor&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl">&lt;span class="n">Si&lt;/span> &lt;span class="n">no&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">removerPrimerElemento&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">superiorIzquierda&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">removerPrimerElemento&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">superiorDerecha&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">removerPrimerElemento&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">inferiorIzquierda&lt;/span>&lt;span class="p">)&lt;/span>
+&lt;/span>&lt;/span>&lt;span class="line">&lt;span class="cl"> &lt;span class="n">AmplificaMapa&lt;/span>&lt;span class="p">(&lt;/span>&lt;span class="n">mapaDeBits&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">removerPrimerElemento&lt;/span>&lt;span class="p">,&lt;/span> &lt;span class="n">sección&lt;/span>&lt;span class="p">.&lt;/span>&lt;span class="n">inferiorDerecha&lt;/span>&lt;span class="p">)&lt;/span>
 &lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;/div>&lt;div class="hextra-code-copy-btn-container hx-opacity-0 hx-transition group-hover/code:hx-opacity-100 hx-flex hx-gap-1 hx-absolute hx-m-[11px] hx-right-0 hx-top-0">
 &lt;button
 class="hextra-code-copy-btn hx-group/copybtn hx-transition-all active:hx-opacity-50 hx-bg-primary-700/5 hx-border hx-border-black/5 hx-text-gray-600 hover:hx-text-gray-900 hx-rounded-md hx-p-1.5 dark:hx-bg-primary-300/10 dark:hx-border-white/10 dark:hx-text-gray-400 dark:hover:hx-text-gray-50"