#include <bits/stdc++.h>

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;
const int MOD = 1e9+7;

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+1),w(N+1),t(N+1);
	for(int i=0;i<N;i++){
		cin >> x[i] >> w[i] >> t[i];
	}
	x[N] = L;
	int current = x[0];

	for(int i=0;i<N;i++){
		if(current % (2*t[i]) > t[i]-w[i]){
			current += 2*t[i] - (current %(2*t[i]));
		}
		current += x[i+1] - x[i];
	}
	cout << current << endl;

	return 0;
}