N,L = map(int,raw_input().split())
t = 0
l = 0
for loop in range(N):
    X,W,T = map(int,raw_input().split())
    t += X-l
    if t/T%2 == 0:
        if (t+W-1)/T-t/T > 0:
            t += (T-t%T)+T
    else:
        t += (T-t%T)
    t += W
    l = X+W
else:
    t += L-l
print t