'''
The number, 1406357289, is a 0 to 9 pandigital number because it is made up of each of the digits 0 to 9 in some order, but it also has a rather interesting sub-string divisibility property.

Let d1 be the 1st digit, d2 be the 2nd digit, and so on. In this way, we note the following:

d2d3d4=406 is divisible by 2
d3d4d5=063 is divisible by 3
d4d5d6=635 is divisible by 5
d5d6d7=357 is divisible by 7
d6d7d8=572 is divisible by 11
d7d8d9=728 is divisible by 13
d8d9d10=289 is divisible by 17
Find the sum of all 0 to 9 pandigital numbers with this property.
'''

from itertools import permutations

def listToNum(l):
    s = ''.join(map(str, l))
    return int(s)

def check(l):
    primes = [2, 3, 5, 7, 11, 13, 17]

    for i in range(1, 8):
        # print(listToNum(l[i:i+3]))
        if listToNum(l[i:i+3]) % primes[i-1] != 0:
            return False
    
    return True

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

    summand = 0

    # print(check(list(map(int, str(1406357289)))))

    for p in permutations(range(10)):
        if check(p):
            summand += listToNum(p)
    
    print(summand)

if __name__ == "__main__":
    main()