import sys
input=lambda: sys.stdin.readline().rstrip()
n,l=map(int,input().split())
ans=0
cur=0
for _ in range(n):
  x,w,t=map(int,input().split())
  ans+=x-cur
  cur=x
  if (ans//t)%2==0 and ((ans+w-1)//t)%2==0:
    continue
  else:
    ans=((ans-1)//t//2+1)*2*t
print(ans+l-cur)