#include <bits/stdc++.h>
#define MOD 1000000007

using namespace std;

typedef pair<int,int> P;
typedef pair<int,pair<int,int>> PP;
typedef long long LL;

const double EPS = 1e-8;
const int INF = 1e9;

int dy[] = {0,1,0,-1};
int dx[] = {1,0,-1,0};

int main(void) {
	int N,L;
	cin >> N >> L;
	vector<int> x(N),w(N),t(N);
	for(int i=0;i<N;i++){
		cin >> x[i] >> w[i] >> t[i];
	}

	int dist = 0,tm = 0,i = 0;
	while(dist != L){
		if(dist == x[i]){
			int cnt = tm/t[i];
			//blue
			if(cnt%2 == 0){
				//残り時間足りる
				if((t[i]-tm%t[i]) > w[i]){
					dist += w[i]+1;
					tm += w[i] + 1;
				}else{
					dist += w[i]+1;
					tm += w[i] + 1 + (t[i]-tm%t[i]) + t[i];
				}
			}else{
				dist += w[i] + 1;
				tm += w[i] + 1 + (t[i]-tm%t[i]) + t[i];
			}
			i++;
			continue;
		}
		dist++;
		tm++;
	}
	cout << tm << endl;
	return 0;
}