Solution to problem 32 in Julia

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David Doblas Jiménez 2021-08-30 15:22:38 +02:00
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#=
Created on 30 Aug 2021
@author: David Doblas Jiménez
@email: daviddoji@pm.me
Solution for Problem 32 of Project Euler
https://projecteuler.net/problem=32
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using BenchmarkTools
function Problem32()
#=
We shall say that an n-digit number is pandigital if it makes use of all
the digits 1 to n exactly once; for example, the 5-digit number, 15234, is
1 through 5 pandigital.
The product 7254 is unusual, as the identity, 39 × 186 = 7254, containing
multiplicand, multiplier, and product is 1 through 9 pandigital.
Find the sum of all products whose multiplicand/multiplier/product identity
can be written as a 1 through 9 pandigital.
HINT: Some products can be obtained in more than one way so be sure to only
include it once in your sum.
=#
ans = Set()
pandigital = join(['1', '2', '3', '4', '5', '6', '7', '8', '9'])
for x in 1:100
for y in 100:10_000
# product = x * y
if join(sort(collect(string(x) * string(y) * string(x * y)))) == pandigital
push!(ans, x * y)
end
end
end
return sum(ans)
end
println("Time to evaluate Problem 32:")
@btime Problem32()
println("")
println("Result for Problem 32: ", Problem32())