Euler 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.

performance improvements:


1) use a list to store the computed fifth powers of 0 to 9  // 788 -> 299 ms.
2) use n%10 ipv ToString()                                              // 299 -> 102 ms.
3) limit n to 200000                                                       // 102 ->   19 ms.

Problem30 =      443839 elapsed time:   19 ms. Test Passed.