N,L=map(int,raw_input().split())
XWT=[map(int,raw_input().split()) for i in range(N)]
ans=0
pos=0
for X,W,T in XWT:
    ans+=X-pos
    if (ans/T)%2==1:
        ans=(ans/T+1)*T
    elif ans/T!=(ans+W-1)/T:
        ans=(ans/T+2)*T
    ans+=W
    pos=X+W
print ans+(L-pos)