#include <algorithm>
#include <cstdio>
#include <iostream>
#include <map>
#include <math.h>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <vector>
using namespace std;

#define ll long long
#define INF (1 << 30)
#define INFLL (1LL << 60)

ll n,l;
ll ans = 0,now = 0;
ll x,w,t;

int main() {
	cin >> n >> l;
	for(int i = 0;i < n;i++){
		cin >> x >> w >> t;
		ans += x - now;
		now += x - now;
		if((ans / t) % 2 == 0){
			if(t - ans % t >= w) {
				ans += w;
				now += w;
			}else{
				ans += t - ans % t + t + w;
				now += w;
			}
		}else{
			ans +=  t - ans % t + w;
			now += w;
		}
	}
	ans += l - now;
	cout << ans << endl;
	return 0;
}