#!/usr/bin/env python """ Created on 28 Abr 2017 @author: David Doblas Jiménez @email: daviddoji@pm.me Solution for problem 008 of Project Euler https://projecteuler.net/problem=8 """ import collections from itertools import islice from utils import timeit # recipe from more-itertools def sliding_window(iterable, n): # sliding_window('ABCDEFG', 4) -> ABCD BCDE CDEF DEFG it = iter(iterable) window = collections.deque(islice(it, n), maxlen=n) if len(window) == n: yield tuple(window) for x in it: window.append(x) yield tuple(window) @timeit("Problem 008") def compute(): """ The four adjacent digits in the 1000-digit number that have the greatest product are 9 x 9 x 8 x 9 = 5832. 731671...963450 Find the thirteen adjacent digits in the 1000-digit number that have the greatest product. What is the value of this product? """ NUM = """ 73167176531330624919225119674426574742355349194934 96983520312774506326239578318016984801869478851843 85861560789112949495459501737958331952853208805511 12540698747158523863050715693290963295227443043557 66896648950445244523161731856403098711121722383113 62229893423380308135336276614282806444486645238749 30358907296290491560440772390713810515859307960866 70172427121883998797908792274921901699720888093776 65727333001053367881220235421809751254540594752243 52584907711670556013604839586446706324415722155397 53697817977846174064955149290862569321978468622482 83972241375657056057490261407972968652414535100474 82166370484403199890008895243450658541227588666881 16427171479924442928230863465674813919123162824586 17866458359124566529476545682848912883142607690042 24219022671055626321111109370544217506941658960408 07198403850962455444362981230987879927244284909188 84580156166097919133875499200524063689912560717606 05886116467109405077541002256983155200055935729725 71636269561882670428252483600823257530420752963450 """ num = NUM.replace("\n", "").replace(" ", "") adjacent_digits = 13 ans = 0 for nums in sliding_window(num, adjacent_digits): prod = 1 for num in nums: prod *= int(num) if prod > ans: ans = prod return ans if __name__ == "__main__": print(f"Result for Problem 008: {compute()}")