def is_blue(current: int, interval: int) -> bool:
    return (current // interval) % 2 == 0


def main():
    N, L = map(int, input().split())
    route = [list(map(int, input().split())) for _ in range(N)]

    current_x = 0
    current_t = 0

    for cross_x, cross_w, interval in route:
        current_t += cross_x - current_x
        current_x = cross_x

        if not is_blue(current_t, interval):
            current_t += (interval - (current_t % interval))
        elif not is_blue(current_t + cross_w, interval):
            current_t += (2 * interval - (current_t % interval))

        current_t += cross_w
        current_x += cross_w

    current_t += L - current_x
    current_x = L
    print(current_t)


if __name__ == "__main__":
    main()