Euler 8 (Python)

Enunciado 8

Encontrar el mayor producto de cinco dígitos consecutivos en este número de 100 dígitos:

73167176531330624919225119674426574742355349194934 96983520312774506326239578318016984801869478851843 85861560789112949495459501737958331952853208805511 12540698747158523863050715693290963295227443043557 66896648950445244523161731856403098711121722383113 62229893423380308135336276614282806444486645238749 30358907296290491560440772390713810515859307960866 70172427121883998797908792274921901699720888093776 65727333001053367881220235421809751254540594752243 52584907711670556013604839586446706324415722155397 53697817977846174064955149290862569321978468622482 83972241375657056057490261407972968652414535100474 82166370484403199890008895243450658541227588666881 16427171479924442928230863465674813919123162824586 17866458359124566529476545682848912883142607690042 24219022671055626321111109370544217506941658960408 07198403850962455444362981230987879927244284909188 84580156166097919133875499200524063689912560717606 05886116467109405077541002256983155200055935729725 71636269561882670428252483600823257530420752963450

Solución

>>> b = 7316717653133062491922511967442657474235534919493496983520312774506326239578318016984801869478851843858615607891129494954595017379583319528532088055111254069874715852386305071569329096329522744304355766896648950445244523161731856403098711121722383113622298934233803081353362766142828064444866452387493035890729629049156044077239071381051585930796086670172427121883998797908792274921901699720888093776657273330010533678812202354218097512545405947522435258490771167055601360483958644670632441572215539753697817977846174064955149290862569321978468622482839722413756570560574902614079729686524145351004748216637048440319989000889524345065854122758866688116427171479924442928230863465674813919123162824586178664583591245665294765456828489128831426076900422421902267105562632111110937054421750694165896040807198403850962455444362981230987879927244284909188845801561660979191338754992005240636899125607176060588611646710940507754100225698315520005593572972571636269561882670428252483600823257530420752963450

>>> s = str(b)

>>> s

'7316717653133062491922511967442657474235534919493496983520312774506326239578318016984801869478851843858615607891129494954595017379583319528532088055111254069874715852386305071569329096329522744304355766896648950445244523161731856403098711121722383113622298934233803081353362766142828064444866452387493035890729629049156044077239071381051585930796086670172427121883998797908792274921901699720888093776657273330010533678812202354218097512545405947522435258490771167055601360483958644670632441572215539753697817977846174064955149290862569321978468622482839722413756570560574902614079729686524145351004748216637048440319989000889524345065854122758866688116427171479924442928230863465674813919123162824586178664583591245665294765456828489128831426076900422421902267105562632111110937054421750694165896040807198403850962455444362981230987879927244284909188845801561660979191338754992005240636899125607176060588611646710940507754100225698315520005593572972571636269561882670428252483600823257530420752963450'

>>> l = list(s)

>>> l

['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']

>>> i = [int(x) for x in l]

>>> i

[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]

>>> def mult(lista):

...     return reduce(mul, lista, 1)

...

>>> mult([])

1

>>> mult([1,2,3])

6

>>> for x in range(1001-5):

...     m = mult(i[x:x+5])

...     if m > maxmult:

...             maxmult = m

...

>>> maxmult

40824