{
 "metadata": {
  "name": "",
  "signature": "sha256:8bf64f63993eee0047fe7434a25083c26784d486198f3c8828cad4e52caa044b"
 },
 "nbformat": 3,
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 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "\n",
      "\n",
      "If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9. The sum of these multiples is 23.\n",
      "\n",
      "Find the sum of all the multiples of 3 or 5 below 1000.\n"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "x = 0\n",
      "threeTotal = 0\n",
      "fiveTotal = 0\n",
      "threeMultiple = 0\n",
      "fiveMultiple = 0\n",
      "total = 0\n",
      "\n",
      "while (threeTotal < 10):\n",
      "    threeMultiple += 3\n",
      "    threeTotal += threeMultiple\n",
      "    \n",
      "    \n",
      "while (fiveTotal < 10):\n",
      "    fiveMultiple += 5\n",
      "    fiveTotal += fiveMultiple\n",
      "    \n",
      "fiveTotal + threeTotal\n",
      "\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 2,
       "text": [
        "33"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "total = 0\n",
      "threeTotal = 0\n",
      "threeMultiple = 0\n",
      "fiveTotal = 0\n",
      "fiveMultiple = 0\n",
      "\n",
      "for i in range(10):\n",
      "    print i\n",
      "    if i%3 == 0:\n",
      "        print \"three\", i\n",
      "        total += i\n",
      "    if i%5 == 0:\n",
      "        print \"five\", i\n",
      "        total += i\n",
      "    if i%3 == 0 and i%5 == 0:\n",
      "        print \"both\", i\n",
      "        total -= i\n",
      "        \n",
      "print total"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "0\n",
        "three 0\n",
        "five 0\n",
        "both 0\n",
        "1\n",
        "2\n",
        "3\n",
        "three 3\n",
        "4\n",
        "5\n",
        "five 5\n",
        "6\n",
        "three 6\n",
        "7\n",
        "8\n",
        "9\n",
        "three 9\n",
        "23\n"
       ]
      }
     ],
     "prompt_number": 11
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "total = 0\n",
      "\n",
      "for i in range(10):\n",
      "    if i%3 == 0 or i%5 == 0:\n",
      "        print i\n",
      "        total += i\n",
      "        \n",
      "print total"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "0\n",
        "3\n",
        "5\n",
        "6\n",
        "9\n",
        "23\n"
       ]
      }
     ],
     "prompt_number": 20
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "sum([ i for i in range(1000) if i%3 == 0 or i%5 == 0 ])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 21,
       "text": [
        "233168"
       ]
      }
     ],
     "prompt_number": 21
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    }
   ],
   "metadata": {}
  }
 ]
}