N,L=map(int,input().split())
X=[list(map(int,input().split())) for _ in range(N)]
iti=0

X.append((L,0,10**10))
time=0
for v,w,z in X:
  time+=v-iti
  even=time//z
  if not even%2:
    if time%z+w<=z:
      t=True
    else:
      time+=z+(z-(time%z))
  else:
    time+=z-(time%z)
  iti=v
print(time)