class Yukicoder
  def initialize
    n, l = gets.chomp.split.map(&:to_i)
    time = 0
    current = 0
    cross = []

    n.times do
      x, w, t = gets.chomp.split.map(&:to_i)

      cross << [x,w,t]
    end

    cross.each do |c|
      x, w, t = *c
      time += (x - current)
      current = x

      if (time/t).even?
        if (t - time%t) < w
          time += (t - time%t) + t + w
        else
          time += w
        end
      else
        time += (t - time%t) + w
      end

      current = x + w
    end

    puts time + (l - current)
  end
end

Yukicoder.new