{
"metadata": {
"name": "",
"signature": "sha256:b11ba63686baa74ab3627b35facaf49236c7019699f6a575b84e4d27f9d18f35"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The four adjacent digits in the 1000-digit number that have the greatest product are 9 \u00d7 9 \u00d7 8 \u00d7 9 = 5832.\n",
"\n",
"73167176531330624919225119674426574742355349194934\n",
"96983520312774506326239578318016984801869478851843\n",
"85861560789112949495459501737958331952853208805511\n",
"12540698747158523863050715693290963295227443043557\n",
"66896648950445244523161731856403098711121722383113\n",
"62229893423380308135336276614282806444486645238749\n",
"30358907296290491560440772390713810515859307960866\n",
"70172427121883998797908792274921901699720888093776\n",
"65727333001053367881220235421809751254540594752243\n",
"52584907711670556013604839586446706324415722155397\n",
"53697817977846174064955149290862569321978468622482\n",
"83972241375657056057490261407972968652414535100474\n",
"82166370484403199890008895243450658541227588666881\n",
"16427171479924442928230863465674813919123162824586\n",
"17866458359124566529476545682848912883142607690042\n",
"24219022671055626321111109370544217506941658960408\n",
"07198403850962455444362981230987879927244284909188\n",
"84580156166097919133875499200524063689912560717606\n",
"05886116467109405077541002256983155200055935729725\n",
"71636269561882670428252483600823257530420752963450\n",
"\n",
"Find the thirteen adjacent digits in the 1000-digit number that have the greatest product. What is the value of this product?"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"digits1 = [int(i) for i in str(73167176531330624919225119674426574742355349194934)]\n",
"digits2 = [int(i) for i in str(96983520312774506326239578318016984801869478851843)]\n",
"digits3 = [int(i) for i in str(85861560789112949495459501737958331952853208805511)]\n",
"digits4 = [int(i) for i in str(12540698747158523863050715693290963295227443043557)]\n",
"digits5 = [int(i) for i in str(66896648950445244523161731856403098711121722383113)]\n",
"digits6 = [int(i) for i in str(62229893423380308135336276614282806444486645238749)]\n",
"digits7 = [int(i) for i in str(30358907296290491560440772390713810515859307960866)]\n",
"digits8 = [int(i) for i in str(70172427121883998797908792274921901699720888093776)]\n",
"digits9 = [int(i) for i in str(65727333001053367881220235421809751254540594752243)]\n",
"digits10 = [int(i) for i in str(52584907711670556013604839586446706324415722155397)]\n",
"digits11 = [int(i) for i in str(53697817977846174064955149290862569321978468622482)]\n",
"digits12 = [int(i) for i in str(83972241375657056057490261407972968652414535100474)]\n",
"digits13 = [int(i) for i in str(82166370484403199890008895243450658541227588666881)]\n",
"digits14 = [int(i) for i in str(16427171479924442928230863465674813919123162824586)]\n",
"digits15 = [int(i) for i in str(17866458359124566529476545682848912883142607690042)]\n",
"digits16 = [int(i) for i in str(242190226710556263211111093705442175069416589604080)]\n",
"digits17 = [int(i) for i in str(71984038509624554443629812309878799272442849091888)]\n",
"digits18 = [int(i) for i in str(45801561660979191338754992005240636899125607176060)]\n",
"digits19 = [int(i) for i in str(5886116467109405077541002256983155200055935729725)]\n",
"digits20 = [int(i) for i in str(71636269561882670428252483600823257530420752963450)]\n",
"\n",
"digit_list = digits1+digits2+digits3+digits4+digits5+digits6+digits7+digits8+digits9+digits10+digits11+digits12+digits13+digits14+digits15+digits16+digits17+digits18+digits19+digits20"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print digit_list"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[7, 3, 1, 6, 7, 1, 7, 6, 5, 3, 1, 3, 3, 0, 6, 2, 4, 9, 1, 9, 2, 2, 5, 1, 1, 9, 6, 7, 4, 4, 2, 6, 5, 7, 4, 7, 4, 2, 3, 5, 5, 3, 4, 9, 1, 9, 4, 9, 3, 4, 9, 6, 9, 8, 3, 5, 2, 0, 3, 1, 2, 7, 7, 4, 5, 0, 6, 3, 2, 6, 2, 3, 9, 5, 7, 8, 3, 1, 8, 0, 1, 6, 9, 8, 4, 8, 0, 1, 8, 6, 9, 4, 7, 8, 8, 5, 1, 8, 4, 3, 8, 5, 8, 6, 1, 5, 6, 0, 7, 8, 9, 1, 1, 2, 9, 4, 9, 4, 9, 5, 4, 5, 9, 5, 0, 1, 7, 3, 7, 9, 5, 8, 3, 3, 1, 9, 5, 2, 8, 5, 3, 2, 0, 8, 8, 0, 5, 5, 1, 1, 1, 2, 5, 4, 0, 6, 9, 8, 7, 4, 7, 1, 5, 8, 5, 2, 3, 8, 6, 3, 0, 5, 0, 7, 1, 5, 6, 9, 3, 2, 9, 0, 9, 6, 3, 2, 9, 5, 2, 2, 7, 4, 4, 3, 0, 4, 3, 5, 5, 7, 6, 6, 8, 9, 6, 6, 4, 8, 9, 5, 0, 4, 4, 5, 2, 4, 4, 5, 2, 3, 1, 6, 1, 7, 3, 1, 8, 5, 6, 4, 0, 3, 0, 9, 8, 7, 1, 1, 1, 2, 1, 7, 2, 2, 3, 8, 3, 1, 1, 3, 6, 2, 2, 2, 9, 8, 9, 3, 4, 2, 3, 3, 8, 0, 3, 0, 8, 1, 3, 5, 3, 3, 6, 2, 7, 6, 6, 1, 4, 2, 8, 2, 8, 0, 6, 4, 4, 4, 4, 8, 6, 6, 4, 5, 2, 3, 8, 7, 4, 9, 3, 0, 3, 5, 8, 9, 0, 7, 2, 9, 6, 2, 9, 0, 4, 9, 1, 5, 6, 0, 4, 4, 0, 7, 7, 2, 3, 9, 0, 7, 1, 3, 8, 1, 0, 5, 1, 5, 8, 5, 9, 3, 0, 7, 9, 6, 0, 8, 6, 6, 7, 0, 1, 7, 2, 4, 2, 7, 1, 2, 1, 8, 8, 3, 9, 9, 8, 7, 9, 7, 9, 0, 8, 7, 9, 2, 2, 7, 4, 9, 2, 1, 9, 0, 1, 6, 9, 9, 7, 2, 0, 8, 8, 8, 0, 9, 3, 7, 7, 6, 6, 5, 7, 2, 7, 3, 3, 3, 0, 0, 1, 0, 5, 3, 3, 6, 7, 8, 8, 1, 2, 2, 0, 2, 3, 5, 4, 2, 1, 8, 0, 9, 7, 5, 1, 2, 5, 4, 5, 4, 0, 5, 9, 4, 7, 5, 2, 2, 4, 3, 5, 2, 5, 8, 4, 9, 0, 7, 7, 1, 1, 6, 7, 0, 5, 5, 6, 0, 1, 3, 6, 0, 4, 8, 3, 9, 5, 8, 6, 4, 4, 6, 7, 0, 6, 3, 2, 4, 4, 1, 5, 7, 2, 2, 1, 5, 5, 3, 9, 7, 5, 3, 6, 9, 7, 8, 1, 7, 9, 7, 7, 8, 4, 6, 1, 7, 4, 0, 6, 4, 9, 5, 5, 1, 4, 9, 2, 9, 0, 8, 6, 2, 5, 6, 9, 3, 2, 1, 9, 7, 8, 4, 6, 8, 6, 2, 2, 4, 8, 2, 8, 3, 9, 7, 2, 2, 4, 1, 3, 7, 5, 6, 5, 7, 0, 5, 6, 0, 5, 7, 4, 9, 0, 2, 6, 1, 4, 0, 7, 9, 7, 2, 9, 6, 8, 6, 5, 2, 4, 1, 4, 5, 3, 5, 1, 0, 0, 4, 7, 4, 8, 2, 1, 6, 6, 3, 7, 0, 4, 8, 4, 4, 0, 3, 1, 9, 9, 8, 9, 0, 0, 0, 8, 8, 9, 5, 2, 4, 3, 4, 5, 0, 6, 5, 8, 5, 4, 1, 2, 2, 7, 5, 8, 8, 6, 6, 6, 8, 8, 1, 1, 6, 4, 2, 7, 1, 7, 1, 4, 7, 9, 9, 2, 4, 4, 4, 2, 9, 2, 8, 2, 3, 0, 8, 6, 3, 4, 6, 5, 6, 7, 4, 8, 1, 3, 9, 1, 9, 1, 2, 3, 1, 6, 2, 8, 2, 4, 5, 8, 6, 1, 7, 8, 6, 6, 4, 5, 8, 3, 5, 9, 1, 2, 4, 5, 6, 6, 5, 2, 9, 4, 7, 6, 5, 4, 5, 6, 8, 2, 8, 4, 8, 9, 1, 2, 8, 8, 3, 1, 4, 2, 6, 0, 7, 6, 9, 0, 0, 4, 2, 2, 4, 2, 1, 9, 0, 2, 2, 6, 7, 1, 0, 5, 5, 6, 2, 6, 3, 2, 1, 1, 1, 1, 1, 0, 9, 3, 7, 0, 5, 4, 4, 2, 1, 7, 5, 0, 6, 9, 4, 1, 6, 5, 8, 9, 6, 0, 4, 0, 8, 0, 7, 1, 9, 8, 4, 0, 3, 8, 5, 0, 9, 6, 2, 4, 5, 5, 4, 4, 4, 3, 6, 2, 9, 8, 1, 2, 3, 0, 9, 8, 7, 8, 7, 9, 9, 2, 7, 2, 4, 4, 2, 8, 4, 9, 0, 9, 1, 8, 8, 8, 4, 5, 8, 0, 1, 5, 6, 1, 6, 6, 0, 9, 7, 9, 1, 9, 1, 3, 3, 8, 7, 5, 4, 9, 9, 2, 0, 0, 5, 2, 4, 0, 6, 3, 6, 8, 9, 9, 1, 2, 5, 6, 0, 7, 1, 7, 6, 0, 6, 0, 5, 8, 8, 6, 1, 1, 6, 4, 6, 7, 1, 0, 9, 4, 0, 5, 0, 7, 7, 5, 4, 1, 0, 0, 2, 2, 5, 6, 9, 8, 3, 1, 5, 5, 2, 0, 0, 0, 5, 5, 9, 3, 5, 7, 2, 9, 7, 2, 5, 7, 1, 6, 3, 6, 2, 6, 9, 5, 6, 1, 8, 8, 2, 6, 7, 0, 4, 2, 8, 2, 5, 2, 4, 8, 3, 6, 0, 0, 8, 2, 3, 2, 5, 7, 5, 3, 0, 4, 2, 0, 7, 5, 2, 9, 6, 3, 4, 5, 0]\n"
]
}
],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def list_prod(lst):\n",
" prod = 0\n",
" for x in range(0, len(lst)-13, 1):\n",
" test_prod = 1\n",
" for y in range(x, x+13, 1):\n",
" test_prod *= lst[y]\n",
" \n",
" if test_prod > prod:\n",
" prod = test_prod\n",
" \n",
" print prod"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 41
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"list_prod(digit_list)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"23514624000\n"
]
}
],
"prompt_number": 42
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}