# -*- coding:utf-8 -*-

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) / t
		end = (x+loss+w) / t
		if start % 2 == 1:
			loss += t * (start + 1) - (x+loss)
		elif end % 2 == 1:
			loss += t * (end + 1) - (x+loss)
	print ans + loss