problem_8.py

#!/usr/bin/env python3
# -*- coding: utf-8 -*-
"""
Created on Thu Apr 11 10:27:21 2019

@author: lisestork
"""

#The four adjacent digits in the 1000-digit number that have the greatest product are 9 × 9 × 8 × 9 = 5832.
#
#Find the thirteen adjacent digits in the 1000-digit number that have the greatest product. What is the value of this product?
import numpy as np
import time

d = 7316717653133062491922511967442657474235534919493496983520312774506326239578318016984801869478851843858615607891129494954595017379583319528532088055111254069874715852386305071569329096329522744304355766896648950445244523161731856403098711121722383113622298934233803081353362766142828064444866452387493035890729629049156044077239071381051585930796086670172427121883998797908792274921901699720888093776657273330010533678812202354218097512545405947522435258490771167055601360483958644670632441572215539753697817977846174064955149290862569321978468622482839722413756570560574902614079729686524145351004748216637048440319989000889524345065854122758866688116427171479924442928230863465674813919123162824586178664583591245665294765456828489128831426076900422421902267105562632111110937054421750694165896040807198403850962455444362981230987879927244284909188845801561660979191338754992005240636899125607176060588611646710940507754100225698315520005593572972571636269561882670428252483600823257530420752963450

def sliding_window(d,k, p=0):
    d = [int(x) for x in str(d)]
    for i in range(0,len(d)-k+1):
        tp = np.prod(d[i:i+k])
        if tp > p:
            p = tp
    return p
        
start = time.time()
x = sliding_window(d,13)
end = time.time()
print("Script ran for {} seconds".format(end-start))
print("Answer: ", x)