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David Doblas Jiménez
2021-09-20 18:08:16 +02:00
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#=
Created on 25 Aug 2021
@author: David Doblas Jiménez
@email: daviddoji@pm.me
Solution for Problem 30 of Project Euler
https://projecteuler.net/problem=30
=#
using BenchmarkTools
function power_digit_sum(pow, n)
s = 0
while n > 0
(n, r) = divrem(n, 10)
s += r^pow
end
return s
end
function Problem30()
#=
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 = 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.
=#
ans = sum(i for i in 2:1_000_000 if i == power_digit_sum(5, i))
return ans
end
println("Time to evaluate Problem 30:")
@btime Problem30()
println("")
println("Result for Problem 30: ", Problem30())