from collections import *
from itertools import *
from functools import *
from heapq import *
import sys,math
input = sys.stdin.readline

N,L = map(int,input().split())
XWT = [tuple(map(int,input().split())) for _ in range(N)]
now = 0
time = 0
for x,w,T in XWT:
    time += x-now
    now = x
    if time//T%2==0:
        if (time+w-1)//T==time//T:
            now = x+w
            time += w
        else:
            now = x+w
            time = w + T*(time//T + 2)
    else:
        now = x+w
        time = w + T*(time//T + 1)
print(time + L - now)