N,L = map(int,raw_input().split())
XWT = sorted([map(int,raw_input().split()) for _ in range(N)])
t = 0
X0 = 0
for X,W,T in XWT:
    t += X-X0
    if t/T%2 == 0:
        if (t+W)/T-t/T > 0:
            t += (T-t%T)+T
    else:
        t += (T-t%T)
    t += W
    X0 = X+W
else:
    t += L-X0
print t