#!/usr/bin/env python
# coding=utf-8

"""30. Digit fifth powers
https://projecteuler.net/problem=30

Surprisingly there are only three numbers that can be written as the sum of
fourth powers of their digits:

> 1634 = 14 \+ 64 \+ 34 \+ 44  
>  8208 = 84 \+ 24 \+ 04 \+ 84  
>  9474 = 94 \+ 44 \+ 74 \+ 44

As 1 = 14 is not a sum it is not included.

The sum of these numbers is 1634 + 8208 + 9474 = 19316.

Find the sum of all the numbers that can be written as the sum of fifth powers
of their digits.
"""
