class Calc0139
  def initialize(args)
    args = args.map { |l| l.chomp.split(/\s+/) }
    @n, @l = args.shift.map(&:to_i)
    @xs, @ws, @ts = args.map { |l| l.map(&:to_i) }.transpose
  end

  def run
    cx, ct = 0, 0
    @xs.zip(@ws, @ts) do |x, w, t|
      ct += x - cx
      sig = (ct / t) % 2
      if sig == 1
        ct = ((ct / t) + 1) * t
      else
        rest = t - (ct % t)
        if rest < w
          ct = ((ct / t) + 2) * t
        end
      end
      cx = x + w
      ct += w
    end
    ct + (@l - cx)
  end
end

puts Calc0139.new(STDIN.readlines).run if __FILE__ == $0