N, L = map(int, input().split())
data = [list(map(int, input().split())) for _ in range(N)]
m = [0] * (L + 1)
for d in data:
    m[d[0]] = d

time = 0
for i in range(1,L+1):
    time += 1
    if m[i]:
        x, w, t = m[i]
        a, b = divmod(time, t)
        if a%2 == 0:  #青信号
            if w > t-b:   #渡りきれない
                time += t-b
                time += t
        else:   #赤信号
            if b:
                time += t-b
            else:
                time += t
print(time)