n,l = map(int,raw_input().split())

arr = [map(int,raw_input().split()) for i in range(n)]

wait_time = 0

for i in range(n):
	x, w, t = arr[i]

	arrive_time = x + wait_time

	rest = t - (arrive_time%t)

	signal_color = (arrive_time/t)%2 # 0..blue 1..red
	
	if signal_color == 0 :
		if rest < w:
			wait_time += rest + t

	else :
		wait_time += rest

print l + wait_time