N,L = map(int,input().split())
now = 0
pos = 0
for _ in range(N):
    X,W,T = map(int,input().split())
    now += X - pos
    P = now // T
    if P % 2 == 0:
        if now + W <= (P+1) * T:
            now += W
        else:
            now = (P+2) * T + W
    else:
        now = (P+1) * T + W
    pos = X + W
print(now + (L - pos))