class Triplet

  def initialize(*input)
    @numbers = *input
  end

  def sum
    @numbers.reduce(:+)
  end

  def product
    @numbers.reduce(:*)
  end

  def pythagorean?
    squares=@numbers.map {|m| square(m)}.sort
    squares[2]==squares[0]+squares[1]
  end

  def self.where(conditions)
    max = conditions[:max_factor]
    min = conditions[:min_factor] || 1
    sum = conditions[:sum]

    available_integers = Array(min..max)

    triplet_min_to_max = available_integers.combination(3).to_a.map{|m| Triplet.new(m[0],m[1],m[2])}

    pythagorean_triplets = triplet_min_to_max.select {|s| s.pythagorean?}

    sum ? pythagorean_triplets.select! {|s| s.sum==sum} : pythagorean_triplets
  end

  private
  def square(x)
    x**2
  end
end