#!/usr/bin/python
# -*- coding: utf-8 -*-
N, L = map(int, raw_input().split())

time, location = 0, 0

for loop in xrange(N):
    X, W, T = map(int, raw_input().split())
    # 信号まで歩く
    time += X - location
    location = X
    # 始点と終点で青ならわたっておｋ
    if 0 <= time % (2*T) < T and 0 <= (time+W-1) % (2*T) < T:
        time += W
        location += W
    # 行けなかったら次の青まで待つ
    else:
        nextgreen = (time/(2*T) + 1) * (2*T)
        time += nextgreen - time
        time += W
        location += W

time += (L - location) # 君の家に着くまでずっと走ってゆく
print time