# 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.

# les résultats ne sont possible que pour un nombre d'au moins 3 chiffres et inférieur
# à 354 294 (9^5 = 59 049 et 6*9^5 = 354 294). Au dela la somme des chiffres à la puissance 5
# est forcément inférieure au nombre.

from time import time
start = time()

resultat = 0

for a in range(100, 354295):
    sommeChiffre = 0
    for i in str(a):
        sommeChiffre += float(i)**5
    if a == sommeChiffre:
        resultat += a

print(resultat)
print("Temps : " + str(time() - start))


