#! /usr/bin/env python

from common import permutations

digits = '123456789'

perms = permutations(digits)

pandigital_products = []

for perm in perms:

for x in range(1, 6):

for eq in range(x+1, 7):

multiplicand = int(''.join(perm[0:x]))

multiplier = int(''.join(perm[x:eq]))

product = int(''.join(perm[eq:]))

if multiplicand * multiplier == product:

print perm, multiplicand, "x", multiplier, "=", product

pandigital_products.append(product)

print sum(set(pandigital_products))