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

T, X = 0, 0
for x, w, t in S:
    T += x - X
    X = x
    if T % (2 * t) > t - w:
        T = (T // (2 * t) + 1) * 2 * t
print(T + L - X)