def read_data():
    N, L = map(int, input().split())
    xwt = []
    for i in range(N):
        x, w, t = map(int, input().split())
        xwt.append((x, w, t))
    return N, L, xwt

def solve(N, L, xwt):
    time = 0
    pos = 0
    for x, w, t in xwt:
        time += x - pos
        red_start = (time // t) % 2
        red_goal = ((time + w - 1) // t) % 2  # 赤信号に切り替わると同時に渡りきるのでもOK。渡り終える1秒前に青かどうかをチェックする。
        if red_start or red_goal:
            time = ((time // (2 * t)) + 1) * (2 * t)
        time += w
        pos = x + w
    time += L - pos
    return time

N, L, xwt = read_data()
print(solve(N, L, xwt))