class Gauss
  def initialize(x, y)
    @left_matrix = x.sort{|a,b| b[0] <=> a[0].abs}
    @right_matrix = y
  end

  def forwardElimination
    for i in 0..2
      p = @left_matrix[i][i]
      for j in i..2
        @left_matrix[i][j] = @left_matrix[i][j] / p
        @right_matrix[i][j] = @right_matrix[i][j] / p
        for j in (i+1)..2
          p = @left_matrix[j][i]
          for k in i..2
            @left_matrix[j][k] = @left_matrix[j][k] - @left_matrix[i][k] * p
            @right_matrix[j] = @right_matrix[j] - @right_matrix[i] * p
          end
        end
      end
    end
  end

  def backAssignment
    for i in 1..0
      for j in (i+1)..2
        @right_matrix[i] = @right_matrix[i] - @left_matrix[i][j]*@right_matrix[j]
      end
    end

    return @right_matrix, @left_matrix
  end
end

matrix_first = [[2,3,-1],
          [4,4,-3],
          [-2,3,-1]]
matrix_second = [3,6,1]
gauss = Gauss.new(matrix_first, matrix_second)
gauss.forwardElimination
puts "#{gauss.backAssignment[0]} #{gauss.backAssignment[1]}"