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

time = 0
p = 0
for i in range(N):
    x, w, t = sig[i]
    time += (x-p)
    p = x
    a, b = time//t, time%t
    if a%2 == 0 and w-(t-b)<=0:
        time += w
        p += w
    elif a%2==0:
        time += (t-b)+t+w
        p += w
    else:
        time += (t-b)+w
        p += w
time += L-p
print(time)