'''
Digit fifth powers
Problem 30
Surprisingly there are only three numbers that can be written as the sum of fourth powers of their digits:

1634 = 1^4 + 6^4 + 3^4 + 4^4
8208 = 8^4 + 2^4 + 0^4 + 8^4
9474 = 9^4 + 4^4 + 7^4 + 4^4
As 1 = 1^4 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.
'''
import time
start = time.time()
count = 0

for i in range(2, 400000):

    if sum([int(digg)**5 for digg in str(i)]) == i:
        count += i

print("Final", count)
print("Time:", round(time.time() - start, 2))
