#define _USE_MATH_DEFINES

#include <iostream>
#include <iomanip>

#include <algorithm>
#include <cmath>

#include <string>
#include <list>
#include <queue>
#include <vector>
#include <complex>
#include <set>

/////////
#define REP(i, x, n) for(int i = x; i < n; i++)
#define rep(i,n) REP(i,0,n)
#define P(p) cout<<(p)<<endl;
/////////
typedef long long LL;
typedef long double LD;
/////////
using namespace::std;
/////////

int main(void){
    std::cin.tie(0); 
    std::ios::sync_with_stdio(false);
    std::cout << std::fixed;//
    //cout << setprecision(6);//
	
	int N,L;
	cin>>N>>L;
	int Xi,Wi,Ti;
	int X=0,T=0;
	rep(i,N){
		cin>>Xi>>Wi>>Ti;
		T = T + Xi - X;
		X = Xi;//X+Xi-X
		if( T%(2*Ti) <= (Ti-Wi) ){
			T += Wi;
			X += Wi;
		}else{
			T += 2*Ti - T%(2*Ti) + Wi;
			X += Wi;
		}
	}
	T = T + L - X;
	X = L;
	P(T);
    return 0;
}