#include <cstdio>
#include <cstring>
#include <cstdlib> 
#include <algorithm>
 
using namespace std;

//namaega184


int main(){
	int n,l,x[101],w[101],t[101];scanf("%d%d",&n,&l);
	bool b[101];
	for(int i=0;i<n;i++){
		scanf("%d%d%d",&x[i],&w[i],&t[i]);
		b[i]=1;
	} 
	int ans=0,pos=0,tm=0;
	for(int i=0;i<n;i++){
		ans+=x[i]-pos;
		pos=x[i];
		if(ans/t[i]%2)ans+=w[i]+(t[i]-ans%t[i]);
		else{
			if((t[i]-ans%t[i])<w[i])ans+=w[i]+(t[i]-ans%t[i])+t[i];
			else ans+=w[i];
		}
		pos+=w[i];
	}
	
	printf("%d\n",ans+l-pos);
	return 0;
}