eulerbooks/notebooks/problem0013.ipynb

184 lines
8.8 KiB
Plaintext

{
"cells": [
{
"cell_type": "markdown",
"id": "6c851d8c",
"metadata": {},
"source": [
"# [Large Sum](https://projecteuler.net/problem=13)\n",
"\n",
"Nothing particularly interesting here. Here's all the numbers in a list."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "0bed92ce",
"metadata": {},
"outputs": [],
"source": [
" nums = [37107287533902102798797998220837590246510135740250,\n",
" 46376937677490009712648124896970078050417018260538,\n",
" 74324986199524741059474233309513058123726617309629,\n",
" 91942213363574161572522430563301811072406154908250,\n",
" 23067588207539346171171980310421047513778063246676,\n",
" 89261670696623633820136378418383684178734361726757,\n",
" 28112879812849979408065481931592621691275889832738,\n",
" 44274228917432520321923589422876796487670272189318,\n",
" 47451445736001306439091167216856844588711603153276,\n",
" 70386486105843025439939619828917593665686757934951,\n",
" 62176457141856560629502157223196586755079324193331,\n",
" 64906352462741904929101432445813822663347944758178,\n",
" 92575867718337217661963751590579239728245598838407,\n",
" 58203565325359399008402633568948830189458628227828,\n",
" 80181199384826282014278194139940567587151170094390,\n",
" 35398664372827112653829987240784473053190104293586,\n",
" 86515506006295864861532075273371959191420517255829,\n",
" 71693888707715466499115593487603532921714970056938,\n",
" 54370070576826684624621495650076471787294438377604,\n",
" 53282654108756828443191190634694037855217779295145,\n",
" 36123272525000296071075082563815656710885258350721,\n",
" 45876576172410976447339110607218265236877223636045,\n",
" 17423706905851860660448207621209813287860733969412,\n",
" 81142660418086830619328460811191061556940512689692,\n",
" 51934325451728388641918047049293215058642563049483,\n",
" 62467221648435076201727918039944693004732956340691,\n",
" 15732444386908125794514089057706229429197107928209,\n",
" 55037687525678773091862540744969844508330393682126,\n",
" 18336384825330154686196124348767681297534375946515,\n",
" 80386287592878490201521685554828717201219257766954,\n",
" 78182833757993103614740356856449095527097864797581,\n",
" 16726320100436897842553539920931837441497806860984,\n",
" 48403098129077791799088218795327364475675590848030,\n",
" 87086987551392711854517078544161852424320693150332,\n",
" 59959406895756536782107074926966537676326235447210,\n",
" 69793950679652694742597709739166693763042633987085,\n",
" 41052684708299085211399427365734116182760315001271,\n",
" 65378607361501080857009149939512557028198746004375,\n",
" 35829035317434717326932123578154982629742552737307,\n",
" 94953759765105305946966067683156574377167401875275,\n",
" 88902802571733229619176668713819931811048770190271,\n",
" 25267680276078003013678680992525463401061632866526,\n",
" 36270218540497705585629946580636237993140746255962,\n",
" 24074486908231174977792365466257246923322810917141,\n",
" 91430288197103288597806669760892938638285025333403,\n",
" 34413065578016127815921815005561868836468420090470,\n",
" 23053081172816430487623791969842487255036638784583,\n",
" 11487696932154902810424020138335124462181441773470,\n",
" 63783299490636259666498587618221225225512486764533,\n",
" 67720186971698544312419572409913959008952310058822,\n",
" 95548255300263520781532296796249481641953868218774,\n",
" 76085327132285723110424803456124867697064507995236,\n",
" 37774242535411291684276865538926205024910326572967,\n",
" 23701913275725675285653248258265463092207058596522,\n",
" 29798860272258331913126375147341994889534765745501,\n",
" 18495701454879288984856827726077713721403798879715,\n",
" 38298203783031473527721580348144513491373226651381,\n",
" 34829543829199918180278916522431027392251122869539,\n",
" 40957953066405232632538044100059654939159879593635,\n",
" 29746152185502371307642255121183693803580388584903,\n",
" 41698116222072977186158236678424689157993532961922,\n",
" 62467957194401269043877107275048102390895523597457,\n",
" 23189706772547915061505504953922979530901129967519,\n",
" 86188088225875314529584099251203829009407770775672,\n",
" 11306739708304724483816533873502340845647058077308,\n",
" 82959174767140363198008187129011875491310547126581,\n",
" 97623331044818386269515456334926366572897563400500,\n",
" 42846280183517070527831839425882145521227251250327,\n",
" 55121603546981200581762165212827652751691296897789,\n",
" 32238195734329339946437501907836945765883352399886,\n",
" 75506164965184775180738168837861091527357929701337,\n",
" 62177842752192623401942399639168044983993173312731,\n",
" 32924185707147349566916674687634660915035914677504,\n",
" 99518671430235219628894890102423325116913619626622,\n",
" 73267460800591547471830798392868535206946944540724,\n",
" 76841822524674417161514036427982273348055556214818,\n",
" 97142617910342598647204516893989422179826088076852,\n",
" 87783646182799346313767754307809363333018982642090,\n",
" 10848802521674670883215120185883543223812876952786,\n",
" 71329612474782464538636993009049310363619763878039,\n",
" 62184073572399794223406235393808339651327408011116,\n",
" 66627891981488087797941876876144230030984490851411,\n",
" 60661826293682836764744779239180335110989069790714,\n",
" 85786944089552990653640447425576083659976645795096,\n",
" 66024396409905389607120198219976047599490197230297,\n",
" 64913982680032973156037120041377903785566085089252,\n",
" 16730939319872750275468906903707539413042652315011,\n",
" 94809377245048795150954100921645863754710598436791,\n",
" 78639167021187492431995700641917969777599028300699,\n",
" 15368713711936614952811305876380278410754449733078,\n",
" 40789923115535562561142322423255033685442488917353,\n",
" 44889911501440648020369068063960672322193204149535,\n",
" 41503128880339536053299340368006977710650566631954,\n",
" 81234880673210146739058568557934581403627822703280,\n",
" 82616570773948327592232845941706525094512325230608,\n",
" 22918802058777319719839450180888072429661980811197,\n",
" 77158542502016545090413245809786882778948721859617,\n",
" 72107838435069186155435662884062257473692284509516,\n",
" 20849603980134001723930671666823555245252804609722,\n",
" 53503534226472524250874054075591789781264330331690]"
]
},
{
"cell_type": "markdown",
"id": "745ec1fc",
"metadata": {},
"source": [
"Now we'll just sum them up and extract the first 10 digits."
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "4219a904",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"5537376230"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"int(str(sum(nums))[:10])"
]
},
{
"cell_type": "markdown",
"id": "dfce30f6",
"metadata": {},
"source": [
"#### Copyright (C) 2025 filifa\n",
"\n",
"This work is licensed under the [Creative Commons Attribution-ShareAlike 4.0 International license](https://creativecommons.org/licenses/by-sa/4.0/) and the [BSD Zero Clause license](https://spdx.org/licenses/0BSD.html)."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "SageMath 9.5",
"language": "sage",
"name": "sagemath"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.11.2"
}
},
"nbformat": 4,
"nbformat_minor": 5
}