# -*- coding: utf-8 -*-

n, l = map(int, input().split())

x = [0] * n
w = [0] * n
t = [0] * n

for i in range(n) :
    x[i], w[i], t[i] = map(int,input().split())

time = 0
place = 0
i = 0

while  place < l :

    if i >= n:
        place += 1
        time += 1
    else:
        if place == x[i]:
            if  time % (2 * t[i]) < t[i] and (time + w[i]) % (2 * t[i]) <= t[i]:
                place += w[i]
                time += w[i]

            else :
                time += 2 * t[i] - (time % (2 * t[i])) + w[i]
                place += w[i]


            i += 1

        elif place != x[i] and place != l-1:
            place += 1
            time += 1

print(time)