euler28.ipynb

   1 {
   2  "cells": [
   3   {
   4    "cell_type": "code",
   5    "execution_count": 1,
   6    "metadata": {
   7     "collapsed": false
   8    },
   9    "outputs": [
  10     {
  11      "data": {
  12       "text/plain": [
  13        "[1, 2, 3]"
  14       ]
  15      },
  16      "execution_count": 1,
  17      "metadata": {},
  18      "output_type": "execute_result"
  19     }
  20    ],
  21    "source": [
  22     "(1..3).map {|i| i}"
  23    ]
  24   },
  25   {
  26    "cell_type": "code",
  27    "execution_count": 7,
  28    "metadata": {
  29     "collapsed": false
  30    },
  31    "outputs": [
  32     {
  33      "data": {
  34       "text/plain": [
  35        "[1, 2]"
  36       ]
  37      },
  38      "execution_count": 7,
  39      "metadata": {},
  40      "output_type": "execute_result"
  41     }
  42    ],
  43    "source": [
  44     "size = 5\n",
  45     "(1..((size-1)/2)).map {|i| i}"
  46    ]
  47   },
  48   {
  49    "cell_type": "code",
  50    "execution_count": 8,
  51    "metadata": {
  52     "collapsed": false
  53    },
  54    "outputs": [
  55     {
  56      "data": {
  57       "text/plain": [
  58        "[9, 25]"
  59       ]
  60      },
  61      "execution_count": 8,
  62      "metadata": {},
  63      "output_type": "execute_result"
  64     }
  65    ],
  66    "source": [
  67     "size = 5\n",
  68     "(1..((size-1)/2)).map {|i| (2*i + 1)**2}"
  69    ]
  70   },
  71   {
  72    "cell_type": "code",
  73    "execution_count": 14,
  74    "metadata": {
  75     "collapsed": false
  76    },
  77    "outputs": [
  78     {
  79      "data": {
  80       "text/plain": [
  81        "[7, 21]"
  82       ]
  83      },
  84      "execution_count": 14,
  85      "metadata": {},
  86      "output_type": "execute_result"
  87     }
  88    ],
  89    "source": [
  90     "size = 5\n",
  91     "(1..((size-1)/2)).map {|i| (2*i + 1)**2 - 2*i}"
  92    ]
  93   },
  94   {
  95    "cell_type": "code",
  96    "execution_count": 12,
  97    "metadata": {
  98     "collapsed": false
  99    },
 100    "outputs": [
 101     {
 102      "data": {
 103       "text/plain": [
 104        "[5, 17]"
 105       ]
 106      },
 107      "execution_count": 12,
 108      "metadata": {},
 109      "output_type": "execute_result"
 110     }
 111    ],
 112    "source": [
 113     "size = 5\n",
 114     "(1..((size-1)/2)).map {|i| (2*i + 1)**2 - 4*i}"
 115    ]
 116   },
 117   {
 118    "cell_type": "code",
 119    "execution_count": 13,
 120    "metadata": {
 121     "collapsed": false
 122    },
 123    "outputs": [
 124     {
 125      "data": {
 126       "text/plain": [
 127        "[3, 13]"
 128       ]
 129      },
 130      "execution_count": 13,
 131      "metadata": {},
 132      "output_type": "execute_result"
 133     }
 134    ],
 135    "source": [
 136     "size = 5\n",
 137     "(1..((size-1)/2)).map {|i| (2*i + 1)**2 - 6*i}"
 138    ]
 139   },
 140   {
 141    "cell_type": "code",
 142    "execution_count": 17,
 143    "metadata": {
 144     "collapsed": false
 145    },
 146    "outputs": [
 147     {
 148      "data": {
 149       "text/plain": [
 150        "[24, 76]"
 151       ]
 152      },
 153      "execution_count": 17,
 154      "metadata": {},
 155      "output_type": "execute_result"
 156     }
 157    ],
 158    "source": [
 159     "size = 5\n",
 160     "(1..((size-1)/2)).map {|i| 4* (2*i + 1)**2 - 12*i}"
 161    ]
 162   },
 163   {
 164    "cell_type": "code",
 165    "execution_count": 18,
 166    "metadata": {
 167     "collapsed": false
 168    },
 169    "outputs": [
 170     {
 171      "data": {
 172       "text/plain": [
 173        "101"
 174       ]
 175      },
 176      "execution_count": 18,
 177      "metadata": {},
 178      "output_type": "execute_result"
 179     }
 180    ],
 181    "source": [
 182     "size = 5\n",
 183     "(1..((size-1)/2)).sum {|i| 4* (2*i + 1)**2 - 12*i} + 1"
 184    ]
 185   },
 186   {
 187    "cell_type": "code",
 188    "execution_count": 19,
 189    "metadata": {
 190     "collapsed": false
 191    },
 192    "outputs": [
 193     {
 194      "data": {
 195       "text/plain": [
 196        "261"
 197       ]
 198      },
 199      "execution_count": 19,
 200      "metadata": {},
 201      "output_type": "execute_result"
 202     }
 203    ],
 204    "source": [
 205     "size = 7\n",
 206     "(1..((size-1)/2)).sum {|i| 4 * (2*i+1)**2 - 12 * i} + 1"
 207    ]
 208   },
 209   {
 210    "cell_type": "code",
 211    "execution_count": 21,
 212    "metadata": {
 213     "collapsed": false
 214    },
 215    "outputs": [
 216     {
 217      "data": {
 218       "text/plain": [
 219        "669171001"
 220       ]
 221      },
 222      "execution_count": 21,
 223      "metadata": {},
 224      "output_type": "execute_result"
 225     }
 226    ],
 227    "source": [
 228     "size = 1001\n",
 229     "(1..((size-1)/2)).sum {|i| 4 * (2*i+1)**2 - 12 * i} + 1"
 230    ]
 231   },
 232   {
 233    "cell_type": "code",
 234    "execution_count": null,
 235    "metadata": {
 236     "collapsed": true
 237    },
 238    "outputs": [],
 239    "source": []
 240   }
 241  ],
 242  "metadata": {
 243   "kernelspec": {
 244    "display_name": "Ruby 2.4.0",
 245    "language": "ruby",
 246    "name": "ruby"
 247   },
 248   "language_info": {
 249    "file_extension": ".rb",
 250    "mimetype": "application/x-ruby",
 251    "name": "ruby",
 252    "version": "2.4.0"
 253   }
 254  },
 255  "nbformat": 4,
 256  "nbformat_minor": 0
 257 }