From bd89449f0282aaef7a50161fd41ac5c97c25e90c Mon Sep 17 00:00:00 2001 From: maxdolan Date: Fri, 2 Aug 2024 22:33:51 +0100 Subject: [PATCH 1/4] removing legacy mixing flag --- examples/simple_examples/monte_carlo.ipynb | 32 +++++++++++++--------- 1 file changed, 19 insertions(+), 13 deletions(-) diff --git a/examples/simple_examples/monte_carlo.ipynb b/examples/simple_examples/monte_carlo.ipynb index d92a6b1..0f7c088 100644 --- a/examples/simple_examples/monte_carlo.ipynb +++ b/examples/simple_examples/monte_carlo.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": null, + "execution_count": 25, "metadata": {}, "outputs": [], "source": [ @@ -16,14 +16,14 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "def mc_simulation(number_of_particles, temperature, box_length, number_of_steps, sample_frequency):\n", " # Initialise the system placing the particles on a square lattice\n", " constants=[[1.363e-134, 9.273e-78],[1.363e-134, 9.273e-78]]\n", - " system = mc.initialise(number_of_particles, temperature, box_length, 'square', constants=constants, mixing = False)\n", + " system = mc.initialise(number_of_particles, temperature, box_length, 'square', constants=constants)\n", " # This sets the sampling class as Energy, which shows the energy of the system\n", " sample_system = sample.Energy(system)\n", " # Compute the energy of the system\n", @@ -68,20 +68,26 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 27, "metadata": {}, - "outputs": [], + "outputs": [ + { + "ename": "TypeError", + "evalue": "initialise() got an unexpected keyword argument 'mixing'", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn[27], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m system \u001b[38;5;241m=\u001b[39m \u001b[43mmc_simulation\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m50\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m273.15\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m45\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m2500\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m25\u001b[39;49m\u001b[43m)\u001b[49m\n", + "Cell \u001b[0;32mIn[26], line 4\u001b[0m, in \u001b[0;36mmc_simulation\u001b[0;34m(number_of_particles, temperature, box_length, number_of_steps, sample_frequency)\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mmc_simulation\u001b[39m(number_of_particles, temperature, box_length, number_of_steps, sample_frequency):\n\u001b[1;32m 2\u001b[0m \u001b[38;5;66;03m# Initialise the system placing the particles on a square lattice\u001b[39;00m\n\u001b[1;32m 3\u001b[0m constants\u001b[38;5;241m=\u001b[39m[[\u001b[38;5;241m1.363e-134\u001b[39m, \u001b[38;5;241m9.273e-78\u001b[39m],[\u001b[38;5;241m1.363e-134\u001b[39m, \u001b[38;5;241m9.273e-78\u001b[39m]]\n\u001b[0;32m----> 4\u001b[0m system \u001b[38;5;241m=\u001b[39m \u001b[43mmc\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43minitialise\u001b[49m\u001b[43m(\u001b[49m\u001b[43mnumber_of_particles\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mtemperature\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mbox_length\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[38;5;124;43msquare\u001b[39;49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mconstants\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mconstants\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mmixing\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43m \u001b[49m\u001b[38;5;28;43;01mFalse\u001b[39;49;00m\u001b[43m)\u001b[49m\n\u001b[1;32m 5\u001b[0m \u001b[38;5;66;03m# This sets the sampling class as Energy, which shows the energy of the system\u001b[39;00m\n\u001b[1;32m 6\u001b[0m sample_system \u001b[38;5;241m=\u001b[39m sample\u001b[38;5;241m.\u001b[39mEnergy(system)\n", + "\u001b[0;31mTypeError\u001b[0m: initialise() got an unexpected keyword argument 'mixing'" + ] + } + ], "source": [ - "system = mc_simulation(50, 273.15, 45, 1000, 25)" + "system = mc_simulation(50, 273.15, 45, 2500, 25)" ] }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, { "cell_type": "code", "execution_count": null, From e33f36e92121b11ae1999f7a24f3b40c869d00ff Mon Sep 17 00:00:00 2001 From: maxdolan Date: Fri, 2 Aug 2024 22:36:44 +0100 Subject: [PATCH 2/4] removing legacy mixing flag --- examples/simple_examples/monte_carlo.ipynb | 26 ++++++++++------------ 1 file changed, 12 insertions(+), 14 deletions(-) diff --git a/examples/simple_examples/monte_carlo.ipynb b/examples/simple_examples/monte_carlo.ipynb index 0f7c088..c851a5d 100644 --- a/examples/simple_examples/monte_carlo.ipynb +++ b/examples/simple_examples/monte_carlo.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 25, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -16,13 +16,13 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def mc_simulation(number_of_particles, temperature, box_length, number_of_steps, sample_frequency):\n", " # Initialise the system placing the particles on a square lattice\n", - " constants=[[1.363e-134, 9.273e-78],[1.363e-134, 9.273e-78]]\n", + " constants=[[1.363e-134, 9.273e-78],[1.365e-130, 9.278e-77]]\n", " system = mc.initialise(number_of_particles, temperature, box_length, 'square', constants=constants)\n", " # This sets the sampling class as Energy, which shows the energy of the system\n", " sample_system = sample.Energy(system)\n", @@ -68,20 +68,18 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": null, "metadata": {}, "outputs": [ { - "ename": "TypeError", - "evalue": "initialise() got an unexpected keyword argument 'mixing'", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", - "Cell \u001b[0;32mIn[27], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m system \u001b[38;5;241m=\u001b[39m \u001b[43mmc_simulation\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m50\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m273.15\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m45\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m2500\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m25\u001b[39;49m\u001b[43m)\u001b[49m\n", - "Cell \u001b[0;32mIn[26], line 4\u001b[0m, in \u001b[0;36mmc_simulation\u001b[0;34m(number_of_particles, temperature, box_length, number_of_steps, sample_frequency)\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mmc_simulation\u001b[39m(number_of_particles, temperature, box_length, number_of_steps, sample_frequency):\n\u001b[1;32m 2\u001b[0m \u001b[38;5;66;03m# Initialise the system placing the particles on a square lattice\u001b[39;00m\n\u001b[1;32m 3\u001b[0m constants\u001b[38;5;241m=\u001b[39m[[\u001b[38;5;241m1.363e-134\u001b[39m, \u001b[38;5;241m9.273e-78\u001b[39m],[\u001b[38;5;241m1.363e-134\u001b[39m, \u001b[38;5;241m9.273e-78\u001b[39m]]\n\u001b[0;32m----> 4\u001b[0m system \u001b[38;5;241m=\u001b[39m \u001b[43mmc\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43minitialise\u001b[49m\u001b[43m(\u001b[49m\u001b[43mnumber_of_particles\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mtemperature\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mbox_length\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[38;5;124;43msquare\u001b[39;49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mconstants\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mconstants\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mmixing\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43m \u001b[49m\u001b[38;5;28;43;01mFalse\u001b[39;49;00m\u001b[43m)\u001b[49m\n\u001b[1;32m 5\u001b[0m \u001b[38;5;66;03m# This sets the sampling class as Energy, which shows the energy of the system\u001b[39;00m\n\u001b[1;32m 6\u001b[0m sample_system \u001b[38;5;241m=\u001b[39m sample\u001b[38;5;241m.\u001b[39mEnergy(system)\n", - "\u001b[0;31mTypeError\u001b[0m: initialise() got an unexpected keyword argument 'mixing'" - ] + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ From 9e048197a89249ab9b756f6e81712834afb7ccf3 Mon Sep 17 00:00:00 2001 From: maxdolan Date: Sat, 3 Aug 2024 10:59:16 +0100 Subject: [PATCH 3/4] clearing outputs --- examples/simple_examples/monte_carlo.ipynb | 8 +++++++- 1 file changed, 7 insertions(+), 1 deletion(-) diff --git a/examples/simple_examples/monte_carlo.ipynb b/examples/simple_examples/monte_carlo.ipynb index c851a5d..a3186cb 100644 --- a/examples/simple_examples/monte_carlo.ipynb +++ b/examples/simple_examples/monte_carlo.ipynb @@ -20,6 +20,12 @@ "metadata": {}, "outputs": [], "source": [ + "import warnings\n", + "from pylj import mc, sample, util\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "warnings.filterwarnings('ignore')\n", "def mc_simulation(number_of_particles, temperature, box_length, number_of_steps, sample_frequency):\n", " # Initialise the system placing the particles on a square lattice\n", " constants=[[1.363e-134, 9.273e-78],[1.365e-130, 9.278e-77]]\n", @@ -73,7 +79,7 @@ "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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" ] From 672dba8cde7a7f903b9e215cee57e1a47c0c736d Mon Sep 17 00:00:00 2001 From: maxdolan Date: Sat, 3 Aug 2024 11:00:59 +0100 Subject: [PATCH 4/4] clearing outputs --- examples/simple_examples/monte_carlo.ipynb | 17 +++-------------- 1 file changed, 3 insertions(+), 14 deletions(-) diff --git a/examples/simple_examples/monte_carlo.ipynb b/examples/simple_examples/monte_carlo.ipynb index a3186cb..5df12d2 100644 --- a/examples/simple_examples/monte_carlo.ipynb +++ b/examples/simple_examples/monte_carlo.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -16,7 +16,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -76,18 +76,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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i3C08PBwAUFBQ0GThoVaroVarJUhORERy4BgPIiKSnV6vR01NTaPHk5OT0aFDB4wZM+a+feTn5wMAfH19pY5HRERmwCMeRETUrKqqKhQUFBjuazQa5Ofnw93dHQEBAUhKSkJxcTG2bdsGAFi/fj0CAgIQHBwM4M51QFatWoWFCxca9avX65GcnIz4+HjY2Rl/HBUWFmLHjh0YPXo0PDw8cPLkSSxevBiRkZHo3bu3zGtMRERyYOFBRETNOn78OIYOHWq43zCOIj4+Hlu2bEFJSQmKiooMz+v1eiQlJUGj0cDOzg5dunTBu+++izlz5hj1u3//fhQVFWH69OmNlqlSqbB//36sWbMG1dXV8Pf3x/jx4/Hmm2/KtJZERCQ3QRRF8X6NKisr4ebmhoqKCri6upojFxFRq8N9qXlxexMRtZyU+1KO8SAiIiIiItmx8CAiIiIiItmx8CAiIiIiItlZZHB5SUkJtm7dCo1Gg6CgIMTHx1vt9IhKycqc0lNKVqXkJCIiojZONEFFRYUIQKyoqDClebPS0tJElUot2qocRCe/x0RblYOoUqnFtLS0FvctNaVkZU7pKSWrUnLSHVLuS+n+uL2JiFpOyn2pWWe1KikpQadOQbDvHAb3mAWwcXCBXluF/+5bh9ofj+PCBY3V/FKrlKzMKT2lZFVKTvoFZ1kyL25vIqKWU+ysVlu3bkU9BMOXJACwcXCBe8wC1P/8vLVQSlbmlJ5SsiolJxERERFg5sJDo9FA7elv+JJkCOHgArVnADQajTnjNEspWZlTekrJqpScRERERICZC4+goCDUlF+CXltl9LheW4Wa8iIEBQWZM06zlJKVOaWnlKxKyUlEREQEmLnwiI+Phy1E/HffOsOXpYZz0m0FAfHx8eaM0yylZGVO6Sklq1JyEhEREQGwhlmt1KJK7WCVs/AoJStzSk8pWZWSk+7gLEvmxe1NRNRyip3VqoGSrjuglKzMKT2lZFVKTuIsS+bG7U1E1HJS7kstUngQEbVF3JeaF7c3EVHLKXY6XSIiIiIiaptYeBARERERkexYeBARERERkexYeBARERERkexYeBARERERkexYeBARERERkexYeBARERERkexYeBARERERkexYeBARERERkexYeBARERERkexYeBARERERkexYeBARERERkexYeBARUbNyc3MRFxcHPz8/CIKA9PT0ZtsfOnQIgwYNgoeHBxwdHREcHIzVq1cbtVm2bBkEQTC6BQcHG7XRarVISEiAh4cHXFxcMH78eJSVlUm9ekREZCZ2lg5ARETWrbq6GiEhIZg+fTrGjRt33/bOzs6YP38+evfuDWdnZxw6dAhz5syBs7MzZs+ebWj3xBNPYP/+/Yb7dnbGH0mLFy/GV199hZ07d8LNzQ3z58/HuHHjcPjwYelWjoiIzIaFBxERNSs2NhaxsbEmtw8NDUVoaKjhfqdOnbBr1y4cPHjQqPCws7ODj49Pk31UVFRg06ZN2LFjB4YNGwYASE5ORvfu3XH06FEMHDjwIdeGiIgshadaERGRrE6cOIFvvvkGQ4YMMXr8/Pnz8PPzQ+fOnTFlyhQUFRUZnsvLy0NtbS1GjBhheCw4OBgBAQE4cuSI2bITEZF0eMSDiIhk0bFjR1y9ehV1dXVYtmwZZs6caXguPDwcW7ZsweOPP46SkhIsX74cTz75JH744Qe0a9cOpaWlUKlUaN++vVGf3t7eKC0tbXJ5NTU1qKmpMdyvrKyUZb2IiOjhsPAgIiJZHDx4EFVVVTh69Chef/11dO3aFZMmTQIAo1O3evfujfDwcAQGBiI1NRUzZsx4qOWtXLkSy5cvlyQ7ERFJj4UHERHJIigoCADQq1cvlJWVYdmyZYbC49fat2+Pbt26oaCgAADg4+MDnU6HGzduGB31KCsru+e4kKSkJCQmJhruV1ZWwt/fX6K1ISKiluIYDyIikp1erzc6DerXqqqqUFhYCF9fXwBAv379YG9vj8zMTEObs2fPoqioCBEREU32oVar4erqanQjIiLrwSMeRETUrKqqKsORCADQaDTIz8+Hu7s7AgICkJSUhOLiYmzbtg0AsH79egQEBBiuy5Gbm4tVq1Zh4cKFhj5efvllxMXFITAwEFeuXMHSpUtha2trOCLi5uaGGTNmIDExEe7u7nB1dcWCBQsQERHBGa2IiBSKhQcRETXr+PHjGDp0qOF+w+lM8fHx2LJlC0pKSoxmpNLr9UhKSoJGo4GdnR26dOmCd999F3PmzDG0uXz5MiZNmoRr167By8sLgwcPxtGjR+Hl5WVos3r1atjY2GD8+PGoqalBTEwMNmzYYIY1JiIiOQiiKIr3a1RZWQk3NzdUVFTw0DUR0UPivtS8uL2JiFpOyn2p2cZ4iKKIrKwszJ07F2F9+8DJ0QE2NjZwcnRAWN8+mDt3LrKzs2FCHUQ/U8o2VUpOJWVVSk4iIiKiBmY54pGRkYHERQtx5lwBunqqMOhREb29bdBOJeCmTsTJMj0OFwsoKNchuFtXvLfmrw90ldy2SCnbVCk5lZRVKTmpMf4Cb17c3kRELSflvlTWwkOr1SJh3jxsTk7GyC72eGOwPSIDbSEIQqO2oigi92I9Vhyqw/5CHaZPm4YNGzdCrVY/2Bq1ckrZpkrJqaSsSslJ98YvwubF7U1E1HKKKDy0Wi1++5s45OZkYd0oFWaE2jf5BenXRFHEphO1WLBXh8ioYfhy9x5+WfqZUrapUnIqKatSclLz+EXYvLi9iYhaThFjPBLmzUNuTha+muSAmX1VJn1JAgBBEDCzrwpfTXJAbk4WEubNkyui4ihlmyolJ6CcrErJSURERHQvshQeGRkZ2JycjHWjVBgW9HAz9g4LssO6USps2rwZe/fulTih8ihlmyolJ6CcrErJSURERNQcyU+1EkURPYK7wb/+IvZNcTD5l9l79RW9vQaXbQNw6sy5FvWlZErZpkrJ2dC/ErIqJSeZhqf+mBe3NxFRy1n1qVbZ2dk4c64Abww27Rz05giCgDcG2+HMuQLk5ORIE1CBlLJNlZITUE5WpeQkIiIiuh/Jr1yempqKrp4qRAbaStLfkEBbdPVUITU11ejKuW2JUrapUnICysmqlJxE1uw/127DRWdv6RiScrSzQRc308d7ERFZA8kLj+PHjmLQo6JkO0NBEDDoURHHjx2VpD8lUso2VUpOQDlZlZKTyJolZF6BrVOlpWNILql/B4x7zM3SMYiITCZ54XHq9BlMjpT2DK7e3jbYefCMpH0qiVK2qVJyAsrJqpScRNbMx9kW9k6Sf9xZjLZexH+19djzYyULDyJSFMn3xNoaHdqppL1OgItKwG1tjaR9KolStqlScgLKyaqUnETW7JMxnVrV4PLy23UYnabBv69pUVpdCx/n1nUaGRG1XpIPLndQq3BTd9+Jsh5IlU6Eo0PbveiZUrapUnICysmqlJxEZD6ejnYI8XIAAGRfqrJwGiIi00leePToHoyTZXpJ+zxZpkeP7sGS9qkkStmmSskJKCerUnISkXkN9XcBwMKDiJRF8sIjbMBAHC4WYMLlQUwiiiIOFwsIGzBQkv6USCnbVCk5AeVkVUpOIjKvYT8XHvlXtSi/XWfhNEREppG88JgwYQIKynXIvVgvSX8HLtajoFyHCRMmSNKfEillmyolJ6CcrErJSUTm5eNsj54eDhAB5FzmUQ8iUgYZr1xehH1T1LzSsgSUsk2VkrOhfyVkVUpOMg2vpG1erX17/+3Udfw1vxxh3o7YOLyjpeMQUStl1VcuFwQB7635K/5ZqMOmE7Ut6mvTiVrsL9Rh9dp1bfpLklK2qVJyAsrJqpScRGR+QwPunG713U+3cV3L062IyPpJXngAQGxsLKZPm4YFe3XI0jzczjBLU4cFe3WYMX06Ro0aJXFC5VHKNlVKTkA5WZWSk4jMq6OLPYIfUUMvAgcuV1s6DhHRfclSeADAho0bERk1DGNStPj4O53Jg2NFUcTH3+kwJkWLyKhhWL9hg1wRFUcp21QpOQHlZFVKTiIyr2E/H/XI5OxWRKQAshUearUaX+7eg8nPxWPWbi2it9cg50LdPb8wiaKInAt1iN5eg1m7tZjy/Av4cvceqNW83kADpWxTpeRUUlal5CQi82qY3epfpbdQqZNmEgoiIrlIPri8KRkZGUhctBBnzhWgq6cKgx4V0dvbBi4qAVU6ESfL9DhcLKCgXIfgbl2xeu06ng5yH0rZpkrJqaSsSslJjbX2wc7Wpq1s72e/uojCCh2WDvTGU51b73oSkWVIuS81S+EB/PwLbE4OUlNTcfzYUZw6fQa3tTVwdFCjR/dghA0YiIkTJ2LIkCEc+GoipWxTpeRUUlal5CRjbeWLsLVoK9v7o39fw4f//i8G+zljdZSfpeMQUSujyMKDiKit477UvNrK9i68UYNnvy6CvY2Af4wPgou9raUjEVErYtXT6RJR2ySKIrKysjB37lyE9e0DJ0cH2NjYwMnRAWF9+2Du3LnIzs6W7CrsRHRHZzcVAl3tUasXcaiYs1sRkfVi4UFELZaRkYEewd0wfPhwZH6ejJ76U1gRCfy/MWqsiAR66k8h8/NkDBs2DD2CuyEjI8PSkYlaDUEQMPznQeZZnN2KiKwYCw8iemharRYzpk/H6NGj4V9/ETnxTjg3T40tYx2RGKHGrH4qJEbcuX9unho58U7oWF+E0aNHY8b06aipqbH0KpAJcnNzERcXBz8/PwiCgPT09GbbHzp0CIMGDYKHhwccHR0RHByM1atXG7VZuXIl+vfvj3bt2qFDhw4YO3Yszp49a9QmKioKgiAY3ebOnSv16rUKDbNbfXPlFm7V6i2choioaXaWDkBEyqTVavHb38QhNycLH8U5YEaofbMD2QVBwJBOdogMtMWmEzZY8PetuHz5Eqf5VYDq6mqEhIRg+vTpGDdu3H3bOzs7Y/78+ejduzecnZ1x6NAhzJkzB87Ozpg9ezYA4MCBA0hISED//v1RV1eHP/zhD4iOjsapU6fg7Oxs6GvWrFl4++23DfednJykX8FWoNsjajzqYo/iqlp8U1KNEQHtLB2JiKgRFh5E9FAS5s1Dbk4WvprkgGFBpu9KBEHAzL4qdH7EBmNSspAwbx4+3rRJxqTUUrGxsYiNjTW5fWhoKEJDQw33O3XqhF27duHgwYOGwmPv3r1Gf7NlyxZ06NABeXl5iIyMNDzu5OQEHx+fFq5B69dwutW209eRVVTFwoOIrBJPtSKiB5aRkYHNyclYN0r1QEXH3YYF2WHdKBU2bd7c6EsotS4nTpzAN998gyFDhtyzTUVFBQDA3d3d6PHt27fD09MTPXv2RFJSEm7duiVrViVrON3q0JVqaOt4uhURWR8e8SCiByKKIhIXLcTILvaYEWrfor5mhNrj01N6LP79AsScOcdrjrQyHTt2xNWrV1FXV4dly5Zh5syZTbbT6/VYtGgRBg0ahJ49exoenzx5MgIDA+Hn54eTJ0/itddew9mzZ7Fr164m+6mpqTEaN1RZWSntClm5Hh5qeDvZoexWHb4tvYUhHV0sHYmIyAgLDyJ6INnZ2ThzrgAfxDu1uFAQBAFvDLbD0K0FyMnJwdChQyVK2TYMGzbsof7OxsYGzs7OCAoKQnR0NEaPHi1xsjsOHjyIqqoqHD16FK+//jq6du2KSZMmNWqXkJCAH374AYcOHTJ6vOG0LADo1asXfH19MXz4cBQWFqJLly6N+lm5ciWWL18u/YooRMPpVjvO3kBmURULDyKyOiw8iOiBpKamoqunCpGB0lykbEigLbp6qpCamsrC4wHl5OS06O8FQcC6deswbNgw7N69Gw4ODtIE+1lQUBCAO0VDWVkZli1b1qjwmD9/Pvbs2YPc3Fx07Nix2f7Cw8MBAAUFBU0WHklJSUhMTDTcr6yshL+/f0tXQ1GGBdwpPHKLq6Gr10NlyzOqich6sPAgogdy/NhRDHpUlOy0KEEQMOhREcePHZWkv4dRUlKCrVu3QqPRICgoCPHx8fD19bVYHlMtXbr0of/29u3bKCgowL59+5CVlYX//d//xbJly6QL9yt6vd7oNChRFLFgwQKkpaUhJyfHUKQ0Jz8/HwDu+dqo1eo2P0NaL08HeDraovx2Pf5VehuDHnW+/x8REZkJCw8ieiCnTp/B5Ehpf0Xt7W2DnQfPSNqnqdLT0zFx4rOohwC1pz9qyrdh6dJl+PTTTzB27FiLZDJVSwqPBqdOncKAAQOwc+fOexYeVVVVKCgoMNzXaDTIz8+Hu7s7AgICkJSUhOLiYmzbtg0AsH79egQEBCA4OBjAneuArFq1CgsXLjT0kZCQgB07duCLL75Au3btUFpaCgBwc3ODo6MjCgsLsWPHDowePRoeHh44efIkFi9ejMjISPTu3bvF691a2QgChnZ0wc7zFci8VMXCg4isCgsPInog2hod2qmk/VXZRSXgttb8FxMsKSnBxInPwr5zGLxjFsDGwQV6bRX+u28dJk58FhcuaKz6yMfx48cRFhbWoj569OiBwYMHIzc3t9nl3H0aXMPpTPHx8diyZQtKSkpQVFRkeF6v1yMpKQkajQZ2dnbo0qUL3n33XcyZM8fQZuPGjQDuXCTwbsnJyXjhhRegUqmwf/9+rFmzBtXV1fD398f48ePx5ptvtmh924LhAXcKjwOXq1Cn7wA7G07aQETWgYUHET0QB7UKN3WipH1W6UQ4Opj/FJmtW7eiHoKh6AAAGwcXuMcswJWN8di6dStef/11s+cy1YABAxAYGIhx48bh6aefxuDBgx+6n7Kysns+HxUVBVG892u+ZcsWo/sLFizAggULml1mc/0BgL+/Pw4cONBsG2paHy9HPKK2xfWaeuSV3UK4L496EJF14KgzInogPboH42SZtNcIOFmmR4/uwZL2aQqNRgO1p7+h6Ghg4+ACtWcANBqN2TM9iOeffx4VFRVYvXo1hgwZAj8/PyQkJCAzMxN6vemv0dtvv40TJ07ImJTMydZGQJT/nWIj81KVhdMQEf2ChQcRPZCwAQNxuFi47y/WphJFEYeLBYQNGChJfw8iKCgINeWXoNcafznTa6tQU15k0oBnS9q6dSt++ukn7N27FzNmzIBer8fGjRsRHR2NDh06YMaMGfj6669RW1tr6ahkZsN/vphgzqVq1OulPUJJRPSwWHgQ0QOZMGECCsp1yL1YL0l/By7Wo6BchwkTJkjS34OIj4+HLUT8d986Q/HRMMbDVhAQHx9v9kwPys7ODtHR0fjwww9RUlKCnJwcJCQkwMnJCcnJyYiLi4OXlxemTJmCXbt24fbt25aOTGbQz9sJriobXK+pR/5VvuZEZB0E0YSfLSsrK+Hm5oaKigq4urqaIxcRWSlRFNEjuBv864uwb4q6RdPqiqKI6O01uGwbgFMWunJ541mtimArCPj0kxTJZ7Uy97702LFj+Oyzz7Br1y78+OOPEAQBjo6OGDVqFMaNG4ennnqqVe/T2/pn19tHy7D7x0r87jE3vNq/g6XjEJFCSbkvZeFBRA8sIyMDo0ePxkdxDpjZV/XQ/Xz8nQ6zdmuRkZGBUaNGSZjwwZjrOh6W3Jd+//33+Pzzz/H555/j9OnTEAQB9vb2eP/99zFz5kyzZjGXtv7Zdbi4GosOXIGnoy2+GhsEGwsU9kSkfFLuSzmrFRE9sNjYWEyfNg0L/r4VnR+xwbCgB9+VZGnqsGCvDjOmT7do0QHcuSCdNc9eJYWQkBCEhITg7bffxtmzZ/HZZ58hLS0NJSUllo5GMunv4whnexuU367Hv8u1CPFytHQkImrjOMaDiB7Kho0bERk1DGNStPj4O53Jg81FUcTH3+kwJkWLyKhhWL9hg8xJ247r16+b1O7xxx/HG2+8gePHj7f6gqstU9naIPLnCwhmFXF2KyKyPBYeRPRQ1Go1vty9B5Ofi8es3VpEb69BzoW6exYgoigi50IdorfXYNZuLaY8/wK+3L0HarX5r9/RWnXs2BGzZs1Cfn6+yX9jb28vXyCyuOEBd2a3yrxUJdlMdERED4tjPIioxTIyMpC4aCHOnCtAV08VBj0qore3DVxUAqp0Ik6W6XG4WEBBuQ7B3bpi9dp1Fj+9yhLk3pfa29ujvr4egiDgf/7nfzB//nyMHz8ednZt86xafnYB2jo9onf9iNt1IrZE++MJTwdLRyIihZFyX8ojHkTUYrGxsTh15hyysrIw4pnp+I/tE1hyUMDcr2qw5KCA/9g+gRHPTEd2djZOnTnXJosOcygqKsKSJUvg7e2Nw4cPY/LkyQgICMDy5ctRWlpq6XhkAQ52Nhjs9/PpVryYIBFZmEWOeJhrBhkpKCUrc0pPSVlJGcz1C3xdXR0+++wzrF+/HocPH4YgCLCzs8O4ceOQkJCAwYMHy7Zsa8IjHnfsL7qJpEOleNTFHmlxgRaZtpqIlEvSfalogoqKChGAWFFRYUrzZqWlpYkqlVq0VTmITn6PibYqB1GlUotpaWkt7ltqSsnKnNJTUlZSDin3paY6efKkOHv2bNHFxUUUBEG0sbER+/TpI3788cfi7du3zZbDEiyxva1Rta5eHPTJeTFs+znxzH+1lo5DRAoj5b7UrEc8SkpK0KlTEOw7h8E9ZgFsHFwMVwmu/fE4LlzQWM0vykrJypzSU1JWUhZL/gJfUVGBP/3pT1i1apXhF+/27dtj3rx5eOWVV1rlEQEe8fjFqwevIPtSNaY/8QheDPG0dBwiUhDFXsdj69atqIcA75+/zAGAjYML3GMW4MrGeGzdutVqpnZUSlbmlJ6SshKZ4uDBg3j//feRnp4OAFCpVOjTpw+OHTuGd955B8nJydi3bx+eeOIJywYl2Qzzd0H2pWp8dr4CJ8u1lo7TJsV2aoffdHGzdAwiizJr4aHRaKD29Dd8mWtg4+ACtWcANBqNOeM0SylZmVN6SspKdC+3b9/G3/72N6xfvx4//PADRFGEr68vXnzxRcyZMwdeXl44f/48lixZgtTUVLz00kvYu3evpWOTTAY/6gxnextU6vQ4Xnbb0nHapNP/rUFcZ1eOsaE2zayFR1BQEGrKt0GvrTL6UqfXVqGmvAhBQUHmjNMspWRlTukpKSvRrxUUFGD9+vXYunUrKioqIIoiBgwYgIULF2LChAlGU+s+9thj+OSTT3Dx4kUcPXrUgqlJbi72ttgS7Y9z12ssHaXNEQEsPVKK6lo9ym7VwceZ186htst6xnho8nBB86PVnDuvlKzMKT0lZSVlkXvMQWxsLP75z39Cr9fD3t4ezzzzDBYuXIjw8PBm/27GjBnYsmUL6uvrJc9kSRzjQdbid3su4EJlLf4a5YeIn6c3JlIKxY7x8PX1xaeffoKJE5/FlY0vQO3pj5ryItgKAj79JMWqvswpJStzSk9JWYnutm/fPnh5eWH27NmYN2+eye/VsWPHIiAgQOZ0RG1XZzc1LlTW4scKHQsPatN4HY/7UEpW5pSekrKSMsj9C/yWLVswefJkqFQqyftWIh7xIGvxwclr2PTDf/HbLq54M9zb0nGIHoiU+1KLFB5ERG0R96Xmxe1N1uIfF2/ijcOl6OXhgM0x/paOQ/RApNyX2kiUiYiIiIia0NntzlHIHyt1MOH3XqJWy6xjPIiISD7Dhg0zqZ1KpYKnpyfCwsIwadIkeHvz1A8iOQW0s4etAFTX6vHT7Tp4O3FmK2qbWHgQEbUSOTk5AGC4TkBTv6wKgmB4PCUlBW+88QY2btyIqVOnmi0nUVujsrVBx3b2uFhZC02FjoUHtVk81YqIqJXIzs7GSy+9BFEUERYWhtWrVyMtLQ3p6elYs2YNBgwYAFEUkZiYiG3btiE+Ph5arRYzZ87EsWPHLB2fqFUznG5VobNwEiLL4REPIqJWQqVSYe3atXjvvfewaNGiRs8vXLgQa9euxSuvvIKcnBw899xziIiIwJw5c7B27Vps377d/KGJ2ojObmpkX6pm4UFtGo94EBG1En/84x8RHBzcZNHR4Pe//z2Cg4OxYsUKAMDMmTPRqVMnHDp0yEwpidqmzq484kHEwoOIqJU4duwYevXqdd92vXr1wrfffgvgzpiPHj164Keffrpn+9zcXMTFxcHPzw+CICA9Pb3Z/g8dOoRBgwbBw8MDjo6OCA4OxurVqxu1W79+PTp16gQHBweEh4c3Ot1Lq9UiISEBHh4ecHFxwfjx41FWVnbf9SOyRp3b3yk8NBWc2YraLhYeREStxO3bt1FSUnLfdiUlJdBqtYb7zs7OsLO795m31dXVCAkJwfr1603K4ezsjPnz5yM3NxenT5/Gm2++iTfffBMffvihoc2nn36KxMRELF26FN999x1CQkIQExNjVAAtXrwYu3fvxs6dO3HgwAFcuXIF48aNMykDkbVpmNmqqlaPq7frLR2HyCJ4AUEiIjORe18aFhaG77//HocOHUJ4eHiTbb799lsMHjwYffr0wb/+9S8AwODBg1FcXAyNRnPfZQiCgLS0NIwdO/aBso0bNw7Ozs7429/+BgAIDw9H//798f777wMA9Ho9/P39sWDBArz++uuoqKiAl5cXduzYgWeeeQYAcObMGXTv3h1HjhzBwIED77tMfnaRtXlmzwVcrKzF+0P9EO7rbOk4RCbhBQSJiKiRefPmob6+HtHR0ViyZAlOnz6N27dv4/bt2zhz5gzeeustxMTEQK/X48UXXwQA3Lp1CydOnEC/fv1ky3XixAl88803GDJkCABAp9MhLy8PI0aMMLSxsbHBiBEjcOTIEQBAXl4eamtrjdoEBwcjICDA0IZIaYJ+HudRyHEe1EZxVisiolZi+vTpOH78OD744AO88847eOeddxq1EUURc+bMwfTp0wEAFy5cwIQJE/Dss89Knqdjx464evUq6urqsGzZMsycORMAUF5ejvr6+kYXLvT29saZM2cAAKWlpVCpVGjfvn2jNqWlpU0ur6amBjU1NYb7lZWVEq4NUct1dlMj53I1NCw8qI3iEQ8iolZkw4YNSE9PR1RUFNRqNURRhCiKUKlUGDJkCHbt2oWNGzca2vfo0QPJycmIiYmRPMvBgwcNhdCaNWuQkpIi+TLutnLlSri5uRlu/v7+si6P6EHxWh7U1vGIBxFRK/Ob3/wGv/nNb1BfX4/y8nIAgIeHR7MDyOUQFBQE4M4sWmVlZVi2bBkmTZoET09P2NraNpqhqqysDD4+PgAAHx8f6HQ63Lhxw+iox91tfi0pKQmJiYmG+5WVlSw+yKo0FB4NM1sJgmDhRETmxSMeREStROfOnTFq1CjDfVtbW3h7e8Pb29vsRcev6fV6w2lQKpUK/fr1Q2ZmptHzmZmZiIiIAAD069cP9vb2Rm3Onj2LoqIiQ5tfU6vVcHV1NboRWZMAV3vYCMDNWj3KObMVtUE84kFE1EqUlZWZNNvTg6qqqkJBQYHhvkajQX5+Ptzd3REQEICkpCQUFxdj27ZtAO5cnyMgIADBwcEA7lwHZNWqVVi4cKGhj8TERMTHxyMsLAwDBgzAmjVrUF1djWnTpgEA3NzcMGPGDCQmJsLd3R2urq5YsGABIiIiZFlHInNQ29qgo4s9im7W4sdKHbyc+DWM2ha+44mIWonAwEBZBlQfP34cQ4cONdxvOJ0pPj4eW7ZsQUlJCYqKigzP6/V6JCUlQaPRwM7ODl26dMG7776LOXPmGNpMnDgRV69exVtvvYXS0lL06dMHe/fuNRpwvnr1atjY2GD8+PGoqalBTEwMNmzYIPn6EZlTZzfVncLjRg3CfZwsHYfIrHgdDyIiM5F7X/rWW29hzZo1KCwshJeXl+T9Kw0/u8gabfy+HJv/cx1Pd3XFHwZ43/8PiCyM1/EgIqJGkpKS0L17d0RHR+Obb76xdBwiakIQZ7aiNoynWhERtRJjxoyBra0tvv/+ezz55JPo0KEDOnXqBEdHx0ZtBUEwGrhNRObR2U0NgDNbUdvEwoOIqJXIyckx/FsURZSVlTWasrYBv+wQWUbgzzNbVer0uKath6cjv4pR28F3OxFRK5GdnW3pCER0H0YzW1XoWHhQm8J3OxFRKzFkyBBLRyAiEwQ1zGxVocMAzmxFbQgHlxMRERGZ0S9XMK+xcBIi8zJb4SGKIrKysjB37lyE9e0DJ0cH2NjYwMnRAWF9+2Du3LnIzs6GCbP7MitztvmsSslJliGKIr7++mu8+eabmDNnDjZv3mx47urVqzh37hzq63nVZCJLCXLlzFbUNpnlOh4ZGRlIXLQQZ84VoKunCoMeFdHb2wbtVAJu6kScLNPjcLGAgnIdgrt1xXtr/orY2NiHWqGWUkpW5my7WZWSkxozx3Ulvv/+e0ycOBHnz583zJgTHx9vKD527NiB559/Hunp6YiLi5Mlg7XgdTzIWp29XoPnMorgqrLB/vGdOdkDWTUp96WyjvHQarVImDcPm5OTMbKLPT6Id0JkoG2T/8FEUUTuRTusOFSE0aNHY/q0adiwcSPUarWcERWXlTnbblal5CTLuXz5MkaMGIFr165h9OjRiIqKwquvvmrUZuzYsbC3t8cXX3zR6gsPImsV2I4zW1HbJNs7XavV4re/iUNuThY+inPAjFD7Zit6QRAwpJMdIgNtsemEDRb8fSsuX76EL3fvkf3LklKyMmfbzaqUnGRZ77zzDq5du4Y1a9Zg4cKFANCo8HByckJISAj+9a9/WSIiEQFwsLPBo872uFRVCw1ntqI2RLYxHgnz5iE3JwtfTXLAzL4qkw8jCoKAmX1V+GqSA3JzspAwb55cEQ2UkpU5paeUrErJSZa1d+9eBAcHG4qOe+nUqRNKSkrMlIqImsIrmFNbJEvhkZGRgc3JyVg3SoVhQQ9XxQ8LssO6USps2rwZe/fulTjhL5SSlTmlp5SsSslJlnflyhX06tXrvu0EQUBlZaUZEhHRvfwysxULD2o7JB9cLooiegR3g3/9Reyb4tCiAVOiKCJ6ew0u2wbg1Jlzkg++UkpW5uRrb+05yTRyD3b28PBASEgIsrKyDI/Z2NjghRdeMJrZKjw8HJcuXcKVK1ckz2BNOLicrNnXmkosPVKGUC8HfDjS39JxiO5Jyn2p5Ec8srOzceZcAd4Y3Pw56KYQBAFvDLbDmXMFyMnJkSbgXZSSlTlzpAl4F6VkVUpOsg69evVCXl4eysvL79nm4sWL+P7779GvXz8zJiOiX+ty16lWnPqc2grJC4/U1FR09VQhMtBWkv6GBNqiq6cKqampkvR3N6VkZU6+9taek6zDc889h5s3b2LmzJm4detWo+d1Oh3mzZuH2tpaPPfccxZISEQNAl1VEABU6PT4r5bX1aG2QfLC4/ixoxj0qCjZaRyCIGDQoyKOHzsqSX93U0pW5uRrb+05yTpMmzYNQ4YMwZdffong4GDMnj0bwJ1reyxcuBDdunVDRkYGhg8fjokTJ1o4LVHb5mBng0dd7AEAmkqO86C2QfLC49TpM+jtLW23vb1tcOr0GUn7BJSTlTn52ktJrm1Klmdra4vdu3dj0qRJKC4uxscffwwAOHHiBN5//30UFRVh/Pjx2LVrl4WTEhFw18xWN1h4UNsg+cTR2hod2qmkvU6Ai0rAbW2NpH0CysnKnHztpSTXNiXr4OLigu3bt2PJkiX4+uuv8eOPP0Kv18Pf3x+xsbHo06ePpSMS0c86u6lwsLiaU+pSmyF54eGgVuGmTtpBUlU6EY4O0l/0TClZmZOvvZTk2qZkXYKDgxEcHGzpGETUjIYpdX/kqVbURkh+qlWP7sE4WaaXtM+TZXr06C79B6hSsjInX3spybVNiYjowRgKj4oazmxFbYLkRzzCBgxE5uenIYrSDIgVRRGHiwWMeGagBOmMKSUrc/K1t/acZH2Ki4tRXFwMrVZ7zzaRkZFmTEREv9apYWarGj2u19TD3UHyr2VEVkXyIx4TJkxAQbkOuRelmRruwMV6FJTrMGHCBEn6u5tSsjInX3trz0nW44svvkD37t0REBCAiIgIDB06tMnbsGHDLB2VqM1zsLOB388zW3GcB7UFMl65vAj7pqit+krLSsnKnHztrT0nmUbuK2lnZGQgLi4Oer0ebm5u6Ny5c7PLyc7OljyDNeGVy0kJFudcwaEr1XglzAsTurW3dByiRqz6yuWCIOC9NX/FPwt12HSitkV9bTpRi/2FOqxeu06WL0lKycqcfO2tPSdZhz/96U/Q6/VYtmwZysrKkJeXh+zs7HveiMjyOrf/5QrmRK2d5IUHAMTGxmL6tGlYsFeHLE3dQ/WRpanDgr06zJg+HaNGjZI44S+UkpU5paeUrErJSZaXn5+PPn364K233oJKpbJ0HCIyQZefB5hrWHhQGyBL4QEAGzZuRGTUMIxJ0eLj73Qmz9YgiiI+/k6HMSlaREYNw/oNG+SKaKCUrMwpPaVkVUpOsixbW1tOoUukMIaLCLLwoDZAtsJDrVbjy917MPm5eMzarUX09hrkXKi75xcmURSRc6EO0dtrMGu3FlOefwFf7t4DtVr+6w0oJStztt2sSslJltW7d29cvnxZ8n5zc3MRFxcHPz8/CIKA9PT0Ztvv2rULI0eOhJeXF1xdXREREYF9+/YZtenUqRMEQWh0S0hIMLSJiopq9PzcuXMlXz8iSwr6eWarGzX1uK59uKPaREoh+eDypmRkZCBx0UKcOVeArp4qDHpURG9vG7ioBFTpRJws0+NwsYCCch2Cu3XF6rXrLHY6iFKyMmfbzaqUnNSY3IOdP//8c0yYMAHffvstwsLCJOs3IyMDhw8fRr9+/TBu3DikpaVh7Nix92y/aNEi+Pn5YejQoWjfvj2Sk5OxatUqfPvttwgNDQUAXL16FfX1v8zW9sMPP2DkyJHIzs5GVFQUgDuFR7du3fD2228b2jk5OZm87Ti4nJTit19ocKW6Dh8MfxT9vJ0sHYfIiJT7UrMUHsDPv8Dm5CA1NRXHjx3FqdNncFtbA0cHNXp0D0bYgIGYOHEihgwZYvGBr0rJypxtN6tScpIxc3wRXrZsGdatW4c//vGPeOqppxAQECBp/4Ig3LfwaMoTTzyBiRMn4q233mry+UWLFmHPnj04f/684T0bFRWFPn36YM2aNQ+VlYUHKUXDzFavhnnhd5zZiqyMIgsPIqK2Tu59qa2trcltBUFAXd2Dn9bxMIWHXq9Hp06d8Oqrr2L+/PmNntfpdPDz80NiYiL+8Ic/GB6PiorCf/7zH4iiCB8fH8TFxWHJkiVwcmr6F+GamhrU1NQY7ldWVsLf35+fXWT11p0ox7bT1/HMY254rX8HS8chMiLlZxcvkUlE1EqYOunAg7ZtqVWrVqGqquqeF65MT0/HjRs38MILLxg9PnnyZAQGBsLPzw8nT57Ea6+9hrNnz2LXrl1N9rNy5UosX75c6vhEsuvMma2ojWDhQUTUSuj1ektHaGTHjh1Yvnw5vvjiC3To0PQvuZs2bUJsbCz8/PyMHp89e7bh37169YKvry+GDx+OwsJCdOnSpVE/SUlJSExMNNxvOOJBZO04sxW1FSw8iIhIFp988glmzpyJnTt3YsSIEU22uXjxIvbv33/Poxh3Cw8PBwAUFBQ0WXio1WrO3EaK1FB4XP95ZqtHHPj1jFon2abTJSIieW3btg3ffPNNk89VVlZCq9U2+VxKSorRkQE5pKSkYNq0aUhJScGYMWPu2S45ORkdOnRotk2D/Px8AICvr69UMYmsgqOdDfyc7xQbPOpBrRkLDyIihXrhhRfw8ccfN/ncI488YnRNjLv94x//wNq1a01eTlVVFfLz8w1f/DUaDfLz81FUVATgzilOU6dONbTfsWMHpk6dir/85S8IDw9HaWkpSktLUVFRYdSvXq9HcnIy4uPjYWdn/AtvYWEh/vjHPyIvLw8XLlzAl19+ialTpyIyMhK9e/c2OTuRUhjGeVSy8KDWi4UHEVErJIqiZAPIjx8/jtDQUMM1OBITExEaGmqYGrekpMRQhADAhx9+iLq6OiQkJMDX19dw+/3vf2/U7/79+1FUVITp06c3WqZKpcL+/fsRHR2N4OBgvPTSSxg/fjx2794tyToRWZsgtzunCf54g4UHtV48iZCIiJoVFRXVbBGzZcsWo/s5OTkm9RsdHX3Pfv39/XHgwAFTIxIpHo94UFvAIx5EREREFsaZragtYOFBREREZGFBrncKj/9q63FDW2/hNETyYOFBREREZGFO9jbwbZjZiqdbUSvFwoOIiIjICvxyBfMaCychkgcHlxMRKVhBQQG2bdv2QM8VFBTIHYuIHkKQmwqHr9ziOA9qtVh4EBEp2OHDh3H48OFGjwuCcM/nRFGEIAjmiEdED6Bzw5S6LDyolWLhQUSkUAEBASwgiFqRzq6c2YpaNxYeREQKdeHCBUtHICIJdXK7a2armnq0V9taOBGRtDi4nIiIiMgKONvbwMfpzm/CGh71oFaIhQcRERGRlfhlZisWHtT6sPAgIiIishK/XMGcU+pS68PCg4iIiMhKdHbjAHNqvVh4EBEREVkJTqlLrRkLDyIiIiIr0XCq1TVtPSpq6i2chkhaLDyIiIiIrISzvQ28ObMVtVIsPIiIiIisiGGcRyULD2pdLHIBwZKSEmzduhUajQZBQUGIj4+Hr6+vJaLcl1KyMqf0lJJVKTmJiMg0QW4qHCm5hR9vsPCgVkY0QUVFhQhArKioMKV5s9LS0kSVSi3aqhxEJ7/HRFuVg6hSqcW0tLQW9y01pWRlTukpJatSctIdUu5L6f64vUmpvii4IYZtPyfOy7xk6ShEku5LBVEUxfsVJ5WVlXBzc0NFRQVcXV0fusgpKSlBp05BsO8cBveYBbBxcIFeW4X/7luH2h+P48IFjdX8UquUrMwpPaVkVUpO+oVU+1IyDbc3KdW/y29j+j8uw9PRFhlPd7Z0HGrjpNyXmnWMx9atW1EPwfAlCQBsHFzgHrMA9T8/by2UkpU5paeUrErJSURED6ZhZqvy2/Wo1HFmK2o9zDrGQ6PRQO3pb/iS1MDGwQVqzwBoNBpzxmmWUrIyp/SUklUpOYmI6MG42Nuig5MdfrpVh2Olt9CtvdrSkagNuynhJAdmLTyCgoJQU74Nem2V0ZclvbYKNeVFCAoKMmecZiklK3NKTylZlZKTiIgeXGc3FX66VYekQ6WWjkJtXP2tKsn6sp4xHpo8XND8aDXnpCslK3NKTylZlZKTfsExB+bF7U1K9s+LN/F/x69Cp7/v1zQiWdXduonDL4RKsy8192j2xrPwqEWV2sEqZ+FRSlbmlJ5SsiolJ93BWZbMi9ubiKjlFDurVQMlXXdAKVmZU3pKyaqUnMRf4M2N25uIqOWk3JdapPAgImqLuC81L25vIqKWU+x0ukREpDy5ubmIi4uDn58fBEFAenp6s+137dqFkSNHwsvLC66uroiIiMC+ffuM2ixbtgyCIBjdgoODjdpotVokJCTAw8MDLi4uGD9+PMrKyqRePSIiMhMWHkRE1Kzq6mqEhIRg/fr1JrXPzc3FyJEj8fXXXyMvLw9Dhw5FXFwcTpw4YdTuiSeeQElJieF26NAho+cXL16M3bt3Y+fOnThw4ACuXLmCcePGSbZeRERkXmadTpeIiJQnNjYWsbGxJrdfs2aN0f133nkHX3zxBXbv3o3Q0FDD43Z2dvDx8Wmyj4qKCmzatAk7duzAsGHDAADJycno3r07jh49ioEDBz74ihARkUXxiAcREclKr9fj5s2bcHd3N3r8/Pnz8PPzQ+fOnTFlyhQUFRUZnsvLy0NtbS1GjBhheCw4OBgBAQE4cuRIk8upqalBZWWl0Y2IiKwHCw8iIpLVqlWrUFVVhQkTJhgeCw8Px5YtW7B3715s3LgRGo0GTz75JG7evAkAKC0thUqlQvv27Y368vb2Rmlp0xdUW7lyJdzc3Aw3f39/2daJiIgeHAsPIiKSzY4dO7B8+XKkpqaiQ4cOhsdjY2Pxu9/9Dr1790ZMTAy+/vpr3LhxA6mpqQ+9rKSkJFRUVBhuly5dkmIViIhIIhzjQUREsvjkk08wc+ZM7Ny50+iUqaa0b98e3bp1Q0FBAQDAx8cHOp0ON27cMDrqUVZWds9xIWq1Gmq1WrL8REQkLR7xICIiyaWkpGDatGlISUnBmDFj7tu+qqoKhYWFhotf9uvXD/b29sjMzDS0OXv2LIqKihARESFbbiIikg+PeBARUbOqqqoMRyIAQKPRID8/H+7u7ggICEBSUhKKi4uxbds2AHdOr4qPj8fatWsRHh5uGJPh6OgINzc3AMDLL7+MuLg4BAYG4sqVK1i6dClsbW0xadIkAICbmxtmzJiBxMREuLu7w9XVFQsWLEBERARntCIiUigWHkRE1Kzjx49j6NChhvuJiYkAgPj4eGzZsgUlJSVGM1J9+OGHqKurQ0JCAhISEgyPN7QHgMuXL2PSpEm4du0avLy8MHjwYBw9ehReXl6G9qtXr4aNjQ3Gjx+PmpoaxMTEYMOGDTKvLRERyUUQRVG8XyMpL5VORNRWcV9qXtzeREQtJ+W+lGM8iIiIiIhIdiw8iIiIiIhIdiw8iIiIiIhIdiw8iIiIiIhIdiw8iIiIiIhIdiw8iIiIiIhIdiw8iIiIiIhIdiw8iIiIiIhIdiw8iIiIiIhIdiw8iIiIiIhIdiw8iIiIiIhIdiw8iIiIiIhIdiw8iIiIiIhIdmYrPERRRFZWFubOnYuwvn3g5OgAGxsbODk6IKxvH8ydOxfZ2dkQRdFckRSflTnbblbmJCIiIqURRBM+8SsrK+Hm5oaKigq4uro+8EIyMjKQuGghzpwrQFdPFQY9KqK3tw3aqQTc1Ik4WabH4WIBBeU6BHfrivfW/BWxsbEPtUItpZSszNl2szKncrV0X0oPhtubiKjlpNyXylp4aLVaJMybh83JyRjZxR5vDLZHZKAtBEFo1FYUReRerMeKQ3XYX6jD9GnTsGHjRqjV6gdbo4eklKzM2XazMqfy8YuweXF7ExG1nCIKD61Wi9/+Jg65OVlYN0qFGaH2TX7x+DVRFLHpRC0W7NUhMmoYvty9R/YvIUrJypxtNytztg78Imxe3N5ERC0n5b5UtjEeCfPmITcnC19NcsDMviqTvnwAgCAImNlXha8mOSA3JwsJ8+bJFdFAKVmZU3pKycqcREREpHSyFB4ZGRnYnJyMdaNUGBZk91B9DAuyw7pRKmzavBl79+6VOOEvlJKVOaWnlKzMSURERK2B5KdaiaKIHsHd4F9/EfumOJj8i+e9+oreXoPLtgE4deZci/q6V/9KyMqcfO2Zs3XgqT/mxe1NRNRyVn2qVXZ2Ns6cK8Abg007t7s5giDgjcF2OHOuADk5OdIEvItSsjJnjjQB76KUrMyZI01AIiIisjjJC4/U1FR09VQhMtBWkv6GBNqiq6cKqampkvR3N6VkZU6+9sxJRERESid54XH82FEMelSU7PQIQRAw6FERx48dlaS/uyklK3PytWdOIiIiUjrJC49Tp8+gt7e03fb2tsGp02ck7RNQTlbm5Gsvpback4iIiCxH8sJDW6NDO5W0g0FdVAJua2sk7RNQTlbm5Gsvpback4iIiCxH8sLDQa3CTd19J8p6IFU6EY4O0l9MTClZmZOvvZTack4iIiKyHMkLjx7dg3GyTC9pnyfL9OjRPVjSPgHlZGVOvvZSass56eHk5uYiLi4Ofn5+EAQB6enpzbbftWsXRo4cCS8vL7i6uiIiIgL79u0zarNy5Ur0798f7dq1Q4cOHTB27FicPXvWqE1UVBQEQTC6zZ07V+rVIyIiM5G88AgbMBCHiwWYcHkQk4iiiMPFAsIGDJSkv7spJStz8rVnTrKk6upqhISEYP369Sa1z83NxciRI/H1118jLy8PQ4cORVxcHE6cOGFoc+DAASQkJODo0aP45z//idraWkRHR6O6utqor1mzZqGkpMRw+/Of/yzpuhERkflIXnhMmDABBeU65F6sl6S/AxfrUVCuw4QJEyTp725KycqcfO2ZkywpNjYWK1aswNNPP21S+zVr1uDVV19F//798dhjj+Gdd97BY489ht27dxva7N27Fy+88AKeeOIJhISEYMuWLSgqKkJeXp5RX05OTvDx8THceCFAIiLlkrzwGDp0KIK7dcWfDtW1+NdPURTxp0N1CO7WFVFRUdIEvItSsjJnlDQB76KUrMwZJU1Asii9Xo+bN2/C3d39nm0qKioAoFGb7du3w9PTEz179kRSUhJu3bp1zz5qampQWVlpdCMiIusheeEhCALeW/NX/LNQh00nalvU16YTtdhfqMPqteskuz7A3ZSSlTn52jMnKdmqVatQVVV1zyNYer0eixYtwqBBg9CzZ0/D45MnT8bf//53ZGdnIykpCX/729/w3HPP3XM5K1euhJubm+Hm7+8v+boQEdHDk7zwAO4clp8+bRoW7NUhS1P3UH1kaeqwYK8OM6ZPx6hRoyRO+AulZGVO6SklK3OSku3YsQPLly9HamoqOnTo0GSbhIQE/PDDD/jkk0+MHp89ezZiYmLQq1cvTJkyBdu2bUNaWhoKCwub7CcpKQkVFRWG26VLlyRfHyIieniyFB4AsGHjRkRGDcOYFC0+/k5n8ukXoiji4+90GJOiRWTUMKzfsEGuiAZKycqc0lNKVuYkJfrkk08wc+ZMpKamYsSIEU22mT9/Pvbs2YPs7Gx07Nix2f7Cw8MBAAUFBU0+r1ar4erqanQjIiLrIVvhoVar8eXuPZj8XDxm7dYiensNci7c+/xvURSRc6EO0dtrMGu3FlOefwFf7t4DtVr+efyVkpU5225W5iSlSUlJwbRp05CSkoIxY8Y0el4URcyfPx9paWnIyspCUFDQffvMz88HAPj6+kodl4iIzEAQTfhJsrKyEm5ubqioqHioX5AyMjKQuGghzpwrQFdPFQY9KqK3tw1cVAKqdCJOlulxuFhAQbkOwd26YvXadRY7zUIpWZmz7WZlTuVq6b7UUqqqqgxHGUJDQ/Hee+9h6NChcHd3R0BAAJKSklBcXIxt27YBuHN6VXx8PNauXYtx48YZ+nF0dISbmxsAYN68edixYwe++OILPP7444Y2bm5ucHR0RGFhIXbs2IHRo0fDw8MDJ0+exOLFi9GxY0ccOHDApNxK3d5ERNZE0n2paIKKigoRgFhRUWFK8ybp9XoxKytLnDt3rhjWt4/o5OggCoIgOjk6iGF9+4hz584Vs7OzRb1e/9DLkIpSsjJn283KnMokxb7UErKzs0UAjW7x8fGiKIpifHy8OGTIEEP7IUOGNNteFMUmnwcgJicni6IoikVFRWJkZKTo7u4uqtVqsWvXruIrr7zyQNtOqdubiMiaSLkvNcsRDyIi4r7U3Li9iYhaTsp9qWxjPIiIiIiIiBqw8CAiIiIiItmx8CAiIiIiItmx8CAiIiIiItmx8CAiIiIiItmx8CAiIiIiItmx8CAiIiIiItmx8CAiIiIiItmx8CAiIiIiItmx8CAiIiIiItmx8CAiIiIiItmx8CAiIiIiItmx8CAiIiIiItmx8CAiIiIiItmx8CAiIiIiItmx8CAiIiIiItmx8CAiIiIiItmx8CAiIiIiItmx8CAiIiIiItmx8CAiIiIiItmx8CAiIiIiItmx8CAiIiIiItmx8CAiIiIiItnZWWKhJSUl2Lp1KzQaDYKCghAfHw9fX19LRLkvpWRlTukpJStzEhERkSKIJqioqBABiBUVFaY0b1ZaWpqoUqlFW5WD6OT3mGirchBVKrWYlpbW4r6lppSszCk9pWRlTmWRcl9K98ftTUTUclLuSwVRFMX7FSeVlZVwc3NDRUUFXF1dH7rIKSkpQadOQbDvHAb3mAWwcXCBXluF/+5bh9ofj+PCBY3V/AKqlKzMKT2lZGVO5ZFqX0qm4fYmImo5KfelZh3jsXXrVtRDMHz5AAAbBxe4xyxA/c/PWwulZGVO6SklK3OSueTm5iIuLg5+fn4QBAHp6enNtt+1axdGjhwJLy8vuLq6IiIiAvv27WvUbv369ejUqRMcHBwQHh6OY8eOGT2v1WqRkJAADw8PuLi4YPz48SgrK5Ny1YiIyIzMWnhoNBqoPf0NXz4MIRxcoPYMgEajMWecZiklK3NKTylZmZPMpbq6GiEhIVi/fr1J7XNzczFy5Eh8/fXXyMvLw9ChQxEXF4cTJ04Y2nz66adITEzE0qVL8d133yEkJAQxMTH46aefDG0WL16M3bt3Y+fOnThw4ACuXLmCcePGSb5+RERkHmYtPIKCglBTfgl6bZXR43ptFWrKixAUFGTOOM1SSlbmlJ5SsjInmUtsbCxWrFiBp59+2qT2a9aswauvvor+/fvjsccewzvvvIPHHnsMu3fvNrR57733MGvWLEybNg09evTABx98ACcnJ2zevBkAUFFRgU2bNuG9997DsGHD0K9fPyQnJ+Obb77B0aNHZVlPIiKSl1kLj/j4eNhCxH/3rTN8CWk419tWEBAfH2/OOM1SSlbmlJ5SsjInKYVer8fNmzfh7u4OANDpdMjLy8OIESMMbWxsbDBixAgcOXIEAJCXl4fa2lqjNsHBwQgICDC0+bWamhpUVlYa3YiIyIqYezR749lt1KJK7WCVs9soJStzSk8pWZlTWVrDLEsAHvh1e/fdd8VHHnlELCsrE0VRFIuLi0UA4jfffGPU7pVXXhEHDBggiqIobt++XVSpVI366t+/v/jqq682uZylS5eKABrdlLy9iYgsTcrPLrNfx2Ps2LG4cEGjiPn8lZKVOaWnlKzMSdZux44dWL58Ob744gt06NBB1mUlJSUhMTHRcL+yshL+/v6yLpOIiExn1ul0iYjastawLxUEAWlpaRg7dux9237yySeYPn06du7ciTFjxhge1+l0cHJywmeffWbUT3x8PG7cuIEvvvgCWVlZGD58OK5fv4727dsb2gQGBmLRokVYvHjxfZffGrY3EZGlKXY6XSIiahtSUlIwbdo0pKSkGBUdAKBSqdCvXz9kZmYaHtPr9cjMzERERAQAoF+/frC3tzdqc/bsWRQVFRnaEBGRspj9VCsiIlKWqqoqFBQUGO5rNBrk5+fD3d0dAQEBSEpKQnFxMbZt2wbgzulV8fHxWLt2LcLDw1FaWgoAcHR0hJubGwAgMTER8fHxCAsLw4ABA7BmzRpUV1dj2rRpAAA3NzfMmDEDiYmJcHd3h6urKxYsWICIiAgMHDjQzFuAiIikwMKDiIiadfz4cQwdOtRwv2EcRXx8PLZs2YKSkhIUFRUZnv/www9RV1eHhIQEJCQkGB5vaA8AEydOxNWrV/HWW2+htLQUffr0wd69e+Ht7W1ov3r1atjY2GD8+PGoqalBTEwMNmzYIPPaEhGRXB5ojIcAwM4GqNXfefzKlSscHEpEZCKOOTAvbm8iopaz2BiPFcNUmNzLHp3aCwCAgI5+EAShRQGIiIiIiKj1e6DCY/4ANbaMdcSPC12QE++EyEBbAHdmOXnttddkCUhERERERMr3ULNaCYKAIZ3ssP95J3wU5wCVLfCX//sziw8iIiIiImpSi6bTFQQBM/uqkDHFCbY2wJ///GepchERERERUSsiyXU8hgXZYf1oBwDgmA8iIiIiImpEsgsIzgi1x7AgW9jZACUlJVJ1S0RERERErYBkhYcgCFgSqUadHvDz85OqWyIiIiIiagUkKzwAYEigrWGqXSIiIiIiogaSFh6CIGBIoB3sJe2ViIiIiIiUzs6URg0XN6+sue9FztHNQ0Cd/s5VDomI6BcN+8WGfSrJy/DZxc8jIqKHJuVnl0mFx82bNwEA/qurTO7Yzc3t4RIREbVyN2/e5D7SDK5duwYA8Pf3t3ASIiLlu3btWos/u0wqPPz8/HDp0iW0a9eO0+USET0kURRx8+ZNTsBhJu7u7gCAoqIiFnq486ulv78/Ll26BFdXV0vHsThuD2PcHr/gtjBWUVGBgIAAwz61JUwqPGxsbNCxY8cWL4yIqK3jF2DzsbG5M+DQzc2NXx7u4urqyu1xF24PY9wev+C2MNawT21RHxLkICIiIiIiahYLDyIiIiIikh0LDyIiapXUajWWLl0KtVpt6ShWgdvDGLeHMW6PX3BbGJNyewgi53UkIiIiIiKZ8YgHERERERHJjoUHERERERHJjoUHERERERHJjoUHERERERHJjoUHERG1SuvXr0enTp3g4OCA8PBwHDt2zNKRLGLZsmUQBMHoFhwcbOlYZpObm4u4uDj4+flBEASkp6cbPS+KIt566y34+vrC0dERI0aMwPnz5y0TVmb32xYvvPBCo/fKqFGjLBPWDFauXIn+/fujXbt26NChA8aOHYuzZ88atdFqtUhISICHhwdcXFwwfvx4lJWVWSixfEzZFlFRUY3eH3Pnzn2g5bDwICKiVufTTz9FYmIili5diu+++w4hISGIiYnBTz/9ZOloFvHEE0+gpKTEcDt06JClI5lNdXU1QkJCsH79+iaf//Of/4y//vWv+OCDD/Dtt9/C2dkZMTEx0Gq1Zk4qv/ttCwAYNWqU0XslJSXFjAnN68CBA0hISMDRo0fxz3/+E7W1tYiOjkZ1dbWhzeLFi7F7927s3LkTBw4cwJUrVzBu3DgLppaHKdsCAGbNmmX0/vjzn//8YAsSiYiIWpkBAwaICQkJhvv19fWin5+fuHLlSgumsoylS5eKISEhlo5hFQCIaWlphvt6vV708fER/+///s/w2I0bN0S1Wi2mpKRYIKH5/HpbiKIoxsfHi7/97W8tksca/PTTTyIA8cCBA6Io3nkv2Nvbizt37jS0OX36tAhAPHLkiKVimsWvt4UoiuKQIUPE3//+9y3ql0c8iIioVdHpdMjLy8OIESMMj9nY2GDEiBE4cuSIBZNZzvnz5+Hn54fOnTtjypQpKCoqsnQkq6DRaFBaWmr0XnFzc0N4eHibfa/k5OSgQ4cOePzxx/Hiiy/i2rVrlo5kNhUVFQAAd3d3AEBeXh5qa2uN3h/BwcEICAho9e+PX2+LBtu3b4enpyd69uyJpKQk3Lp164H6tZMsIRERkRUoLy9HfX09vL29jR739vbGmTNnLJTKcsLDw7FlyxY8/vjjKCkpwfLly/Hkk0/ihx9+QLt27Swdz6JKS0sBoMn3SsNzbcmoUaMwbtw4BAUFobCwEH/4wx8QGxuLI0eOwNbW1tLxZKXX67Fo0SIMGjQIPXv2BHDn/aFSqdC+fXujtq39/dHUtgCAyZMnIzAwEH5+fjh58iRee+01nD17Frt27TK5bxYeRERErVhsbKzh371790Z4eDgCAwORmpqKGTNmWDAZWZtnn33W8O9evXqhd+/e6NKlC3JycjB8+HALJpNfQkICfvjhhzY1/ule7rUtZs+ebfh3r1694Ovri+HDh6OwsBBdunQxqW+eakVERK2Kp6cnbG1tG808U1ZWBh8fHwulsh7t27dHt27dUFBQYOkoFtfwfuB7pWmdO3eGp6dnq3+vzJ8/H3v27EF2djY6duxoeNzHxwc6nQ43btwwat+a3x/32hZNCQ8PB4AHen+w8CAiolZFpVKhX79+yMzMNDym1+uRmZmJiIgICyazDlVVVSgsLISvr6+lo1hcUFAQfHx8jN4rlZWV+Pbbb/leAXD58mVcu3at1b5XRFHE/PnzkZaWhqysLAQFBRk9369fP9jb2xu9P86ePYuioqJW9/6437ZoSn5+PgA80PuDp1oREVGrk5iYiPj4eISFhWHAgAFYs2YNqqurMW3aNEtHM7uXX34ZcXFxCAwMxJUrV7B06VLY2tpi0qRJlo5mFlVVVUa/yGo0GuTn58Pd3R0BAQFYtGgRVqxYgcceewxBQUFYsmQJ/Pz8MHbsWMuFlklz28Ld3R3Lly/H+PHj4ePjg8LCQrz66qvo2rUrYmJiLJhaPgkJCdixYwe++OILtGvXzjBuw83NDY6OjnBzc8OMGTOQmJgId3d3uLq6YsGCBYiIiMDAgQMtnF5a99sWhYWF2LFjB0aPHg0PDw+cPHkSixcvRmRkJHr37m36glo0JxYREZGVWrdunRgQECCqVCpxwIAB4tGjRy0dySImTpwo+vr6iiqVSnz00UfFiRMnigUFBZaOZTbZ2dkigEa3+Ph4URTvTKm7ZMkS0dvbW1Sr1eLw4cPFs2fPWja0TJrbFrdu3RKjo6NFLy8v0d7eXgwMDBRnzZollpaWWjq2bJraFgDE5ORkQ5vbt2+L8+bNEx955BHRyclJfPrpp8WSkhLLhZbJ/bZFUVGRGBkZKbq7u4tqtVrs2rWr+Morr4gVFRUPtBzh54URERERERHJhmM8iIiIiIhIdiw8iIiIiIhIdiw8iIiIiIhIdiw8iIiIiIhIdiw8iIiIiIhIdiw8iIiIiIhIdiw8iIiIiIhIdiw8iIiIiExw/vx5zJ8/Hz169ICzszMcHBzQsWNH9O/fH/Pnz8fnn39u6YhEVo0XECQiIiK6j127dmHy5MmoqamBh4cH+vbtCy8vL1y/fh35+fkoKSmBh4cHysvLDX8TFRWFAwcOIDs7G1FRUZYLT2Ql7CwdgIiIiMialZWVIT4+HjU1NXjppZewYsUKODg4GLXJy8vDZ599ZqGERMrAwoOIiIioGXv27EFVVRX8/PywatWqJtv069cP/fr1M3MyImXhGA8iIiKiZpSVlQEAvLy8TGqfk5MDQRBw4MABAMDQoUMhCILhtmXLFqP2169fx9KlS9GnTx+0a9cOTk5O6NWrF1asWIFbt2416n/ZsmUQBAHLli3DxYsXMXXqVPj6+sLBwQHdunXDsmXLcPv27ZatNJEMeMSDiIiIqBkBAQEAgB9++AGZmZkYPnx4s+19fHwQHx+PvXv3oqysDDExMfDx8TE837VrV8O/T506hVGjRuHSpUvw9fXF4MGDYW9vj2PHjmHJkiX4/PPPkZOTAzc3t0bL0Wg06NevH+zs7BAZGYnbt28jOzsby5cvx/79+7F///5Gp4QRWRIHlxMRERE1o6qqCsHBwSguLoYgCBgyZAiGDx+Ovn37on///vc8EnK/weW3b99Gr169UFhYiDfffBNLliyBSqUCANy6dQszZ85ESkoKpk2bhs2bNxv+btmyZVi+fDkA4Le//S1SUlLg6OgIALh8+TKGDx+Oc+fO4fXXX8fKlSsl3hpED4+nWhERERE1w8XFBZmZmQgPD4coisjJycGSJUswZswYdOjQAaGhofjggw9QX1//QP1u3boVhYWFeOqpp/DHP/7RUHQAgJOTEz788EN06NABf/vb33D9+vVGf+/o6IgPPvjAUHQAQMeOHfGXv/wFALBhwwZotdqHXGsi6bHwICIiIrqPxx9/HEePHsW3336Lt956CzExMYYjHfn5+XjxxRcxatQo6HQ6k/v86quvAAATJ05s8nkXFxeEhYWhrq4O//rXvxo9Hx0dbXQKV4OnnnoKHh4eqKysxHfffWdyHiK5sfAgIiIiMtGAAQOwfPlyw/iNvLw8PPvsswCA/fv3Y+3atSb39eOPPwIAnn/+eaPB53ffvv76awDA1atXG/19UFDQPfvu1KkTgDunXhFZCw4uJyIiInoIgiCgb9++SElJwa1bt/Dll18iPT0dr7zyikl/r9frAQCjRo2Ct7d3s20DAwMfKiOH8pI1YeFBRERE1ELR0dH48ssvja5cfj/+/v44c+YMZsyYgWeeeeaBl6nRaO753IULFwDcGfNBZC14qhURERFRM0w5alBUVATA+It+w2Dxurq6Jv8mNjYWAJCamvpQuf7xj3/gp59+avT4119/jWvXrqFdu3a8qCFZFRYeRERERM3YsGED4uPj8c033zR6ThRF7Nq1C++//z4AGMZ7AL8UIf/5z3+a7Hf27NkIDAzEzp078dprr+HmzZuN2pSWluKjjz5q8u9v376NF1980ehigVeuXMFLL70EAJg7dy6v40FWhdfxICIiImrGmjVrsHjxYgB3rl4eGhoKT09P3LhxA6dOnTKc1vTcc89h69atsLG587vuV199haeeegoqlQrR0dHo0KEDBEHA9OnT8T//8z8A7hQlTz31FC5cuID27dujd+/e6NixI27duoVz587h9OnT6NChA0pLSw15Gq7jMXXqVOzZswcqlQpPPvkktFotsrKyUF1djYiICGRmZhpNtUtkaRzjQURERNSMGTNmICgoCJmZmfj2229x6tQplJWVwc7ODn5+fpg0aRKmTp2KUaNGGf3dmDFj8NFHH2Hjxo3IysrCrVu3AACDBw82FB5PPPEETp48iQ8++ABpaWk4efIkjhw5Ak9PT3Ts2BEvv/wynn766SZzBQUF4fjx43jjjTeQlZWF69evIyAgAJMnT8Zrr73GooOsDo94EBERESlIwxGPpUuXYtmyZZaOQ2QyjvEgIiIiIiLZsfAgIiIiIiLZsfAgIiIiIiLZcYwHERERERHJjkc8iIiIiIhIdiw8iIiIiIhIdiw8iIiIiIhIdiw8iIiIiIhIdiw8iIiIiIhIdiw8iIiIiIhIdiw8iIiIiIhIdiw8iIiIiIhIdiw8iIiIiIhIdv8ffDsoLR3dT9AAAAAASUVORK5CYII=", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "system = mc_simulation(50, 273.15, 45, 2500, 25)" ]