Solution to problem 42 in Julia
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src/Julia/Problem042.jl
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src/Julia/Problem042.jl
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#=
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Created on 12 Sep 2021
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@author: David Doblas Jiménez
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@email: daviddoji@pm.me
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Solution for Problem 42 of Project Euler
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https://projecteuler.net/problem=42
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=#
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using BenchmarkTools
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using DelimitedFiles
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function triangle_number(num)
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return Int(0.5*num*(num+1))
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end
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function word_to_value(word)
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return sum(Int(letter)-64 for letter in word)
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end
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function Problem42()
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#=
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The nth term of the sequence of triangle numbers is given by, tn = ½n(n+1);
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so the first ten triangle numbers are:
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1, 3, 6, 10, 15, 21, 28, 36, 45, 55, ...
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By converting each letter in a word to a number corresponding to its alphabetical
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position and adding these values we form a word value. For example, the word value
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for SKY is 19 + 11 + 25 = 55 = t10. If the word value is a triangle number then we
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shall call the word a triangle word.
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Using words.txt, a 16K text file containing nearly two-thousand common English words,
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how many are triangle words?
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=#
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triangular_numbers = [triangle_number(n) for n in 1:26]
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ans = 0
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file = "/datos/Scripts/Gitea/Project_Euler/src/files/Problem42.txt"
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words = sort(readdlm(file, ',', String)[:])
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for word in words
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if word_to_value(word) in triangular_numbers
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ans += 1
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end
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end
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return ans
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end
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println("Time to evaluate Problem 42:")
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@btime Problem42()
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println("")
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println("Result for Problem 42: ", Problem42())
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