#define _USE_MATH_DEFINES
#include <algorithm>
#include <cstdio>
#include <functional>
#include <iostream>
#include <cfloat>
#include <climits>
#include <cstring>
#include <cmath>
#include <map>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <time.h>
#include <vector>
using namespace std;

typedef long long ll;
typedef unsigned long long ull;
typedef pair<int, int> i_i;
typedef pair<ll, int> ll_i;
typedef pair<double, int> d_i;
typedef pair<ll, ll> ll_ll;
typedef pair<double, double> d_d;
struct edge { int u, v; ll w; };

ll MOD = 1000000007;
ll _MOD = 1000000009;
double EPS = 1e-10;

bool safe(int t, int W, int T) {
	int _t = t % (T * 2);
	return _t >= 0 && _t <= T - W;
}

int main() {
	int N, L; cin >> N >> L;
	int x = 0, t = 0;
	while (N--) {
		int X, W, T; cin >> X >> W >> T;
		t += X - x; x = X;
		if (!safe(t, W, T))
			t = (t / (T * 2) + 1) * (T * 2);
	}
	t += L - x;
	cout << t << endl;
}