#include <iostream>
using namespace std;
int main(){
	int n,l;	cin>>n>>l;
	int now=0,time=0;
	int x,w,t;
	for(int i=0;i<n;i++){
		cin>>x>>w>>t;
		time+=(x-now);
		now=x;
		if(now!=0){
			if((time/t)%2==1||((time+w)/t)%2==1){
				time=((time/t)+1)*t;
				if((time/t)%2==1)	time+=t;
			}
		}
		time+=w;
		now+=w;
	}
	time+=(l-now);
	cout<<time<<endl;
	return 0;
}