#include<bits/stdc++.h>
using namespace std;
int main(){
	int n,l,num=0,time=0,a;
	int d[200],r[200],g[200];
	cin>>n>>l;
	for(int i=1;i<=n;i++)cin>>d[i]>>r[i]>>g[i];
	for(int i=1;i<=n;i++){
		time+=d[i]-num;
		num+=d[i]-num;
		 a=time%(r[i]+g[i]);
		if(a<r[i])
			time+=(r[i]-a);
	}
	int b=l-d[n];
	cout<<time+b;
	return 0;
}