require "./euler"

def generate_pythagorean_triples(upper_bound)
  ([] of Array(Euler::NumType)).tap do |triples|
    (2..upper_bound).each do |a|
      (a..upper_bound).each do |b|
        c = Math.sqrt(a**2 + b**2)
        triples << [a, b, c.to_i] if c % 1 == 0
      end
    end
  end
end

puts generate_pythagorean_triples(500).find([-1]) { |x| x.sum == 1000 }.product