'''
It can be seen that the number, 125874, and its double, 251748, contain exactly the same digits, but in a different order.

Find the smallest positive integer, x, such that 2x, 3x, 4x, 5x, and 6x, contain the same digits.
'''

import time
import math

def findMultiples(factors):
    result = 1

    while True:
        products = [[s for s in str(f * result)] for f in factors]
        sresult = [s for s in str(result)]
        skip = False

        for i in range(len(products) - 1):
            if len(products[i]) != len(sresult) or set(products[i]) != set(sresult):
                skip = True
        
        if skip:
            result += 1
            continue

        return result

def main():
    print("Hello, this is Patrick")

    t0 = time.time()

    print(findMultiples([2, 3, 4, 5, 6]), time.time() - t0)


if __name__ == "__main__":
    main()