p043.py

from Tools import pandigitals

'''


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.

'''

def isNotDivisibleBy(n,d):
   return n % d

def check(n):
   strn = str(n)
   if isNotDivisibleBy(int(strn[1:4]),2):
      return False
   if isNotDivisibleBy(int(strn[2:5]),3):
      return False
   if isNotDivisibleBy(int(strn[3:6]),5):
      return False
   if isNotDivisibleBy(int(strn[4:7]),7):
      return False
   if isNotDivisibleBy(int(strn[5:8]),11):
      return False
   if isNotDivisibleBy(int(strn[6:9]),13):
      return False
   if isNotDivisibleBy(int(strn[7:10]),17):
      return False
   return True

total = 0
for n in pandigitals(10,zeros=True):
   if check(n):
      print n
      total += n

print "Total:", total