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"""
projecteuler030 - digit fifth powers

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.
"""
from math import pow

def calc(n,p):
    sum = 0
    for c in str(n):
        sum += pow(int(c),p)
    return sum

sum = 0
for n in range(9,9999):
    if n == calc(n,4):
        sum += n
        print n
print 'sum = ' + str(sum)

sum = 0
for n in range(9,999999):
    if n == calc(n,5):
        sum += n
        print n
print 'sum = ' + str(sum)