def g;gets.split.map(&:to_i)end
n,l=g
walk=0
time=0
n.times{
  x,w,t=g
  time+=x-walk
  walk=x
  if time%(t*2)>t-w
    time+=t*2-time%(t*2)
  end
  time+=w
  walk+=w
}
p time+l-walk