# Project Euler 43

• 問題

Problem 43：Sub-string divisibility
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.

• 解答例
```import itertools

p = list(map("".join, itertools.permutations('0123456789')))

sum = 0
for n in p:
if not int(n[1] + n[2] + n[3]) % 2 == 0:
continue
if not int(n[2] + n[3] + n[4]) % 3 == 0:
continue
if not int(n[3] + n[4] + n[5]) % 5 == 0:
continue
if not int(n[4] + n[5] + n[6]) % 7 == 0:
continue
if not int(n[5] + n[6] + n[7]) % 11 == 0:
continue
if not int(n[6] + n[7] + n[8]) % 13 == 0:
continue
if not int(n[7] + n[8] + n[9]) % 17 == 0:
continue
sum += int(n)
print(n)

print(sum)
```