Solution for problem 8

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David Doblas Jiménez 2021-06-29 18:48:34 +02:00
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#!/usr/bin/env python3
"""
Created on 28 Abr 2017
@author: David Doblas Jiménez
@email: daviddoji@pm.me
Solution for problem 8 of Project Euler
https://projecteuler.net/problem=8
"""
from utils import timeit
@timeit("Problem 8")
def compute():
"""
The four adjacent digits in the 1000-digit number that have the
greatest product are 9 × 9 × 8 × 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
target = len(num) - adjacent_digits #- 1
ans, i = 0, 0
while i < target:
a, j = 1, i
while j < (i + adjacent_digits):
a = a * int(num[j])
j += 1
if a > ans:
ans = a
i += 1
return ans
if __name__ == "__main__":
print(f"Result for Problem 8: {compute()}")