# theIV/projeul

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 # Problem 9 # # A Pythagorean triplet is a set of three natural numbers, a b c, for which, # a^2 + b^2 = c^2 # # For example, 3^2 + 4^2 = 9 + 16 = 25 = 5^2. # # There exists exactly one Pythagorean triplet for which a + b + c = 1000. # Find the product abc. require 'rubygems' require 'pp' def product_of_pythagorean_triplet_for(number) time_start = Time.now triplet = [nil,nil,nil] sum = number (1..sum).each do |c| (1..c).each do |b| (1..b).each do |a| next unless (a+b+c == sum) next unless (a**2+b**2 == c**2) triplet = [a,b,c] break if !triplet[0].nil? end break if !triplet[0].nil? end break if !triplet[0].nil? end product = triplet.inject(1) do |prod, factor| prod * factor end time_end = Time.now duration = time_end - time_start pp "Product of triplet #{triplet.join(',')} for sum #{number} is #{product}." pp "Duration: #{duration}" end product_of_pythagorean_triplet_for(1000)
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