Problem_018.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "string = \"\"\"75\n",
    "95 64\n",
    "17 47 82\n",
    "18 35 87 10\n",
    "20 04 82 47 65\n",
    "19 01 23 75 03 34\n",
    "88 02 77 73 07 63 67\n",
    "99 65 04 28 06 16 70 92\n",
    "41 41 26 56 83 40 80 70 33\n",
    "41 48 72 33 47 32 37 16 94 29\n",
    "53 71 44 65 25 43 91 52 97 51 14\n",
    "70 11 33 28 77 73 17 78 39 68 17 57\n",
    "91 71 52 38 17 14 91 43 58 50 27 29 48\n",
    "63 66 04 68 89 53 67 30 73 16 69 87 40 31\n",
    "04 62 98 27 23 09 70 98 73 93 38 53 60 04 23\"\"\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[75],\n",
       " [95, 64],\n",
       " [17, 47, 82],\n",
       " [18, 35, 87, 10],\n",
       " [20, 4, 82, 47, 65],\n",
       " [19, 1, 23, 75, 3, 34],\n",
       " [88, 2, 77, 73, 7, 63, 67],\n",
       " [99, 65, 4, 28, 6, 16, 70, 92],\n",
       " [41, 41, 26, 56, 83, 40, 80, 70, 33],\n",
       " [41, 48, 72, 33, 47, 32, 37, 16, 94, 29],\n",
       " [53, 71, 44, 65, 25, 43, 91, 52, 97, 51, 14],\n",
       " [70, 11, 33, 28, 77, 73, 17, 78, 39, 68, 17, 57],\n",
       " [91, 71, 52, 38, 17, 14, 91, 43, 58, 50, 27, 29, 48],\n",
       " [63, 66, 4, 68, 89, 53, 67, 30, 73, 16, 69, 87, 40, 31],\n",
       " [4, 62, 98, 27, 23, 9, 70, 98, 73, 93, 38, 53, 60, 4, 23]]"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mat = [[int(i) for i in row.split(\" \")] for row in string.split(\"\\n\")]\n",
    "mat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1074]\n"
     ]
    }
   ],
   "source": [
    "l = mat[-1]\n",
    "for i in range(len(mat) - 2, -1, -1):\n",
    "    l = np.maximum(l[:-1],l[1:]) + mat[i]\n",
    "print(l)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [],
   "source": [
    "import math"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "648"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sum(int(c) for c in str(math.factorial(100)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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   "name": "python3"
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
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   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.5"
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 "nbformat": 4,
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