274 lines
13 KiB
Plaintext
274 lines
13 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Euler Problem 13\n",
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"\n",
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"Work out the first ten digits of the sum of the following one-hundred 50-digit numbers.\n",
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"\n",
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"~~~\n",
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"37107287533902102798797998220837590246510135740250\n",
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"46376937677490009712648124896970078050417018260538\n",
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"74324986199524741059474233309513058123726617309629\n",
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"91942213363574161572522430563301811072406154908250\n",
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"23067588207539346171171980310421047513778063246676\n",
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"89261670696623633820136378418383684178734361726757\n",
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"28112879812849979408065481931592621691275889832738\n",
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"44274228917432520321923589422876796487670272189318\n",
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"47451445736001306439091167216856844588711603153276\n",
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"70386486105843025439939619828917593665686757934951\n",
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"62176457141856560629502157223196586755079324193331\n",
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"64906352462741904929101432445813822663347944758178\n",
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"92575867718337217661963751590579239728245598838407\n",
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"58203565325359399008402633568948830189458628227828\n",
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"80181199384826282014278194139940567587151170094390\n",
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"35398664372827112653829987240784473053190104293586\n",
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"86515506006295864861532075273371959191420517255829\n",
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"71693888707715466499115593487603532921714970056938\n",
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"54370070576826684624621495650076471787294438377604\n",
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"53282654108756828443191190634694037855217779295145\n",
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"36123272525000296071075082563815656710885258350721\n",
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"45876576172410976447339110607218265236877223636045\n",
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"17423706905851860660448207621209813287860733969412\n",
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"81142660418086830619328460811191061556940512689692\n",
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"51934325451728388641918047049293215058642563049483\n",
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"62467221648435076201727918039944693004732956340691\n",
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"15732444386908125794514089057706229429197107928209\n",
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"55037687525678773091862540744969844508330393682126\n",
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"18336384825330154686196124348767681297534375946515\n",
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"80386287592878490201521685554828717201219257766954\n",
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"78182833757993103614740356856449095527097864797581\n",
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"16726320100436897842553539920931837441497806860984\n",
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"48403098129077791799088218795327364475675590848030\n",
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"87086987551392711854517078544161852424320693150332\n",
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"59959406895756536782107074926966537676326235447210\n",
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"69793950679652694742597709739166693763042633987085\n",
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"41052684708299085211399427365734116182760315001271\n",
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"65378607361501080857009149939512557028198746004375\n",
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"35829035317434717326932123578154982629742552737307\n",
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"94953759765105305946966067683156574377167401875275\n",
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"88902802571733229619176668713819931811048770190271\n",
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"25267680276078003013678680992525463401061632866526\n",
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"36270218540497705585629946580636237993140746255962\n",
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"24074486908231174977792365466257246923322810917141\n",
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"91430288197103288597806669760892938638285025333403\n",
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"34413065578016127815921815005561868836468420090470\n",
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"23053081172816430487623791969842487255036638784583\n",
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"11487696932154902810424020138335124462181441773470\n",
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"63783299490636259666498587618221225225512486764533\n",
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"67720186971698544312419572409913959008952310058822\n",
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"95548255300263520781532296796249481641953868218774\n",
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"76085327132285723110424803456124867697064507995236\n",
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"37774242535411291684276865538926205024910326572967\n",
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"23701913275725675285653248258265463092207058596522\n",
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"29798860272258331913126375147341994889534765745501\n",
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"18495701454879288984856827726077713721403798879715\n",
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"38298203783031473527721580348144513491373226651381\n",
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"34829543829199918180278916522431027392251122869539\n",
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"40957953066405232632538044100059654939159879593635\n",
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"29746152185502371307642255121183693803580388584903\n",
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"41698116222072977186158236678424689157993532961922\n",
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"62467957194401269043877107275048102390895523597457\n",
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"23189706772547915061505504953922979530901129967519\n",
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"86188088225875314529584099251203829009407770775672\n",
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"11306739708304724483816533873502340845647058077308\n",
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"82959174767140363198008187129011875491310547126581\n",
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"97623331044818386269515456334926366572897563400500\n",
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"42846280183517070527831839425882145521227251250327\n",
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"55121603546981200581762165212827652751691296897789\n",
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"32238195734329339946437501907836945765883352399886\n",
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"75506164965184775180738168837861091527357929701337\n",
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"62177842752192623401942399639168044983993173312731\n",
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"32924185707147349566916674687634660915035914677504\n",
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"99518671430235219628894890102423325116913619626622\n",
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"73267460800591547471830798392868535206946944540724\n",
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"76841822524674417161514036427982273348055556214818\n",
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"97142617910342598647204516893989422179826088076852\n",
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"87783646182799346313767754307809363333018982642090\n",
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"10848802521674670883215120185883543223812876952786\n",
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"71329612474782464538636993009049310363619763878039\n",
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"62184073572399794223406235393808339651327408011116\n",
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"66627891981488087797941876876144230030984490851411\n",
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"60661826293682836764744779239180335110989069790714\n",
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"85786944089552990653640447425576083659976645795096\n",
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"66024396409905389607120198219976047599490197230297\n",
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"64913982680032973156037120041377903785566085089252\n",
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"16730939319872750275468906903707539413042652315011\n",
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"94809377245048795150954100921645863754710598436791\n",
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"78639167021187492431995700641917969777599028300699\n",
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"15368713711936614952811305876380278410754449733078\n",
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"40789923115535562561142322423255033685442488917353\n",
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"44889911501440648020369068063960672322193204149535\n",
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"41503128880339536053299340368006977710650566631954\n",
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"81234880673210146739058568557934581403627822703280\n",
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"82616570773948327592232845941706525094512325230608\n",
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"22918802058777319719839450180888072429661980811197\n",
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"77158542502016545090413245809786882778948721859617\n",
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"72107838435069186155435662884062257473692284509516\n",
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"20849603980134001723930671666823555245252804609722\n",
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"53503534226472524250874054075591789781264330331690\n",
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"~~~"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Straight forward. No big deal."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 10,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"5537376230\n"
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]
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}
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],
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"source": [
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"numbers_string = \"\"\"\n",
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"37107287533902102798797998220837590246510135740250\n",
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"46376937677490009712648124896970078050417018260538\n",
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"74324986199524741059474233309513058123726617309629\n",
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"91942213363574161572522430563301811072406154908250\n",
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"23067588207539346171171980310421047513778063246676\n",
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"89261670696623633820136378418383684178734361726757\n",
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"28112879812849979408065481931592621691275889832738\n",
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"44274228917432520321923589422876796487670272189318\n",
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"47451445736001306439091167216856844588711603153276\n",
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"70386486105843025439939619828917593665686757934951\n",
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"62176457141856560629502157223196586755079324193331\n",
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"64906352462741904929101432445813822663347944758178\n",
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"92575867718337217661963751590579239728245598838407\n",
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"58203565325359399008402633568948830189458628227828\n",
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"80181199384826282014278194139940567587151170094390\n",
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"35398664372827112653829987240784473053190104293586\n",
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"86515506006295864861532075273371959191420517255829\n",
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"71693888707715466499115593487603532921714970056938\n",
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"54370070576826684624621495650076471787294438377604\n",
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"53282654108756828443191190634694037855217779295145\n",
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"36123272525000296071075082563815656710885258350721\n",
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"45876576172410976447339110607218265236877223636045\n",
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"17423706905851860660448207621209813287860733969412\n",
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"81142660418086830619328460811191061556940512689692\n",
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"51934325451728388641918047049293215058642563049483\n",
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"62467221648435076201727918039944693004732956340691\n",
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"15732444386908125794514089057706229429197107928209\n",
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"55037687525678773091862540744969844508330393682126\n",
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"18336384825330154686196124348767681297534375946515\n",
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"80386287592878490201521685554828717201219257766954\n",
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"78182833757993103614740356856449095527097864797581\n",
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"16726320100436897842553539920931837441497806860984\n",
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"48403098129077791799088218795327364475675590848030\n",
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"87086987551392711854517078544161852424320693150332\n",
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"59959406895756536782107074926966537676326235447210\n",
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"69793950679652694742597709739166693763042633987085\n",
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"41052684708299085211399427365734116182760315001271\n",
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"65378607361501080857009149939512557028198746004375\n",
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"35829035317434717326932123578154982629742552737307\n",
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"94953759765105305946966067683156574377167401875275\n",
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"88902802571733229619176668713819931811048770190271\n",
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"25267680276078003013678680992525463401061632866526\n",
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"36270218540497705585629946580636237993140746255962\n",
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"24074486908231174977792365466257246923322810917141\n",
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"91430288197103288597806669760892938638285025333403\n",
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"34413065578016127815921815005561868836468420090470\n",
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"23053081172816430487623791969842487255036638784583\n",
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"11487696932154902810424020138335124462181441773470\n",
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"63783299490636259666498587618221225225512486764533\n",
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"67720186971698544312419572409913959008952310058822\n",
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"95548255300263520781532296796249481641953868218774\n",
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"76085327132285723110424803456124867697064507995236\n",
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"37774242535411291684276865538926205024910326572967\n",
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"23701913275725675285653248258265463092207058596522\n",
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"29798860272258331913126375147341994889534765745501\n",
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"18495701454879288984856827726077713721403798879715\n",
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"38298203783031473527721580348144513491373226651381\n",
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"34829543829199918180278916522431027392251122869539\n",
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"40957953066405232632538044100059654939159879593635\n",
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"29746152185502371307642255121183693803580388584903\n",
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"41698116222072977186158236678424689157993532961922\n",
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"62467957194401269043877107275048102390895523597457\n",
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"23189706772547915061505504953922979530901129967519\n",
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"86188088225875314529584099251203829009407770775672\n",
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"11306739708304724483816533873502340845647058077308\n",
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"82959174767140363198008187129011875491310547126581\n",
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"97623331044818386269515456334926366572897563400500\n",
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"42846280183517070527831839425882145521227251250327\n",
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"55121603546981200581762165212827652751691296897789\n",
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"32238195734329339946437501907836945765883352399886\n",
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"75506164965184775180738168837861091527357929701337\n",
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"62177842752192623401942399639168044983993173312731\n",
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"32924185707147349566916674687634660915035914677504\n",
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"99518671430235219628894890102423325116913619626622\n",
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"73267460800591547471830798392868535206946944540724\n",
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"76841822524674417161514036427982273348055556214818\n",
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"97142617910342598647204516893989422179826088076852\n",
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"87783646182799346313767754307809363333018982642090\n",
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"10848802521674670883215120185883543223812876952786\n",
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"71329612474782464538636993009049310363619763878039\n",
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"62184073572399794223406235393808339651327408011116\n",
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"66627891981488087797941876876144230030984490851411\n",
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"60661826293682836764744779239180335110989069790714\n",
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"85786944089552990653640447425576083659976645795096\n",
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"66024396409905389607120198219976047599490197230297\n",
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"64913982680032973156037120041377903785566085089252\n",
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"16730939319872750275468906903707539413042652315011\n",
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"94809377245048795150954100921645863754710598436791\n",
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"78639167021187492431995700641917969777599028300699\n",
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"15368713711936614952811305876380278410754449733078\n",
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"40789923115535562561142322423255033685442488917353\n",
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"44889911501440648020369068063960672322193204149535\n",
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"41503128880339536053299340368006977710650566631954\n",
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"81234880673210146739058568557934581403627822703280\n",
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"82616570773948327592232845941706525094512325230608\n",
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"22918802058777319719839450180888072429661980811197\n",
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"77158542502016545090413245809786882778948721859617\n",
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"72107838435069186155435662884062257473692284509516\n",
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"20849603980134001723930671666823555245252804609722\n",
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"53503534226472524250874054075591789781264330331690\n",
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"\"\"\"\n",
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"\n",
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"numbers = [int(n) for n in numbers_string.split('\\n') if n]\n",
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"numbers_sum = sum(numbers)\n",
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"first_ten_digits = str(numbers_sum)[:10]\n",
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"assert(first_ten_digits == \"5537376230\")\n",
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"print(first_ten_digits)\n"
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]
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}
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],
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"metadata": {
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"completion_date": "Sun, 31 Aug 2014, 19:03",
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"kernelspec": {
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"display_name": "Python 3",
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"language": "python3.6",
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"name": "python3"
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},
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"language_info": {
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"codemirror_mode": {
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"name": "ipython",
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"version": 3
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},
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"file_extension": ".py",
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"mimetype": "text/x-python",
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.6.5"
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},
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"tags": [
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"brute force",
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"sum"
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]
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},
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"nbformat": 4,
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"nbformat_minor": 2
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}
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