N, L = map(int, input().split(" "))
X = [tuple(map(int, input().split(" "))) for i in range(N)]

T = 0
walked = 0
for x,w,t in X:
    T += x - walked
    walked += x + w - walked
    r = t - T % t
    if (T//t) % 2 == 0:
        if r >= w:
            T += w
        else:
            T += r + t + w
    else:
        T += r + w
T += L - walked
print(T)