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

s=l=0
for i in range(N):
    x,w,t = map(int,input().split())
    s,l = s+x-l,x+w
    if not (s/t%2<=1 and (s+w)/t%2<=1):
        s += (2*t-s%(2*t))
    s += w
s+= L-l
print(s)