# -*- coding:utf-8 -*-
import math

if __name__ == "__main__":
	n,l = map(int,raw_input().split())
	cross =[]
	for i in xrange(n):
		xi,wi,ti = map(int,raw_input().split())
		cross.append((xi,wi,ti))
	ans = l
	loss = 0
	for x,w,t in cross:
		start = (x+loss) / float(t)
		end = (x+loss+w) / float(t)
		if math.floor(start) % 2 == 1:
			if math.ceil(start) == start:
				start += 1
			loss += t * math.ceil(start) - (x+loss)
		elif math.floor(end) % 2 == 1:
			if math.ceil(end) == end:
				continue
			loss += t * math.ceil(end) - (x+loss)
	print int(ans + loss)