N,L = map(int,input().split())
et = 0

for i in range(N):
  x, w, t = map(int,input().split())
  now = et + x
  temp = t - now % t
  if (now // t) % 2 == 0:
    if temp < w:
      et = et + temp + t
  else:
    et = et + temp

print(et + L)