N, L = map(int, input().split())

lights = []
for _ in range(N):
    X, W, T = map(int, input().split())
    lights.append((X, W, T))

cur = 0
time = 0
for x, w, t in lights:
    # x まで進む
    time += x - cur

    m = time % (2 * t)
    # print(f'{time=} {m=} {t=}')
    # 進めないなら、青まで待つ
    if m >= t or t - m < w:
        # print(f'wait {t-m=}')
        time += (2 * t) - m

    time += w
    cur = x + w

ans = time + (L - cur)
print(ans)