#define _CRT_SECURE_NO_WARNINGS
#include <iostream>
#include <climits>
#include <cmath>
#include <string>
#include <vector>
#include <algorithm>
#include <queue>
#include <map>
#include <functional>
#include <set>
#include <numeric>
#include <stack>
#include <utility>
#include <time.h>
#include <iterator>
//#include "util.h"

using namespace std;
typedef unsigned uint;
typedef long long lint;
typedef unsigned long long ulint;



//呪文
template <typename _KTy, typename _Ty> ostream& operator << (ostream& ostr, const pair<_KTy, _Ty>& m) { cout << "{" << m.first << ", " << m.second << "}"; return ostr; }
template <typename _KTy, typename _Ty> ostream& operator << (ostream& ostr, const map<_KTy, _Ty>& m) { if (m.empty()) { cout << "{ }"; return ostr; } cout << "{" << *m.begin(); for (auto itr = ++m.begin(); itr != m.end(); itr++) { cout << ", " << *itr; } cout << "}"; return ostr; }
template <typename _Ty> ostream& operator << (ostream& ostr, const vector<_Ty>& v) { if (v.empty()) { cout << "{ }"; return ostr; }	cout << "{" << v.front(); for (auto itr = ++v.begin(); itr != v.end(); itr++) { cout << ", " << *itr; }	cout << "}"; return ostr; }
template <typename _Ty> ostream& operator << (ostream& ostr, const set<_Ty>& s) { if (s.empty()) { cout << "{ }"; return ostr; } cout << "{" << *(s.begin()); for (auto itr = ++s.begin(); itr != s.end(); itr++) { cout << ", " << *itr; }	cout << "}"; return ostr; }
//template <typename T> void print(T* v, int N) { if (N == 0) cout << "{ }"; cout << "{" << v[0]; for (int i = 1; i < N; i++) cout << ", " << v[i]; cout << "}"; }
#define PI 3.14159265358979323846
#define EPS 1e-8
#define FOR(i,a,b) for(int i=(a);i<(b);++i)
#define REP(i,n)  FOR(i,0,n)
#define all(x) (x).begin(), (x).end()



enum color { BLUE = 0, RED = 1 };

class signal
{

	int time; // 信号が動き出してからの時間

public:

	int X, W, T;
	
	signal(int X, int W, int T) 
		: X(X), W(W), T(T), time(0) {}

	color getColor() { return color((time / T) & 1); }
	int getRemain() { return (time % T) ? (T - time % T) : T; }

	// 時刻を t 進める
	void forward(int t) { time += t; }
};


int yuki0139()
{
	int N, L;
	cin >> N >> L;

	vector<signal> S;

	int X, W, T;
	REP(i, N) {
		cin >> X >> W >> T;
		S.push_back(signal(X, W, T));
	}

	int ans = 0;
	int x = 0;
	for (int i = 0; i < S.size(); i++) {
		// 信号 i まで移動
		int d = S[i].X - x;
		for (int j = 0; j < S.size(); j++) S[j].forward(d);
		x += d; ans += d;

		// 信号が青になるまで待つ
		int r = S[i].getRemain();
		if (S[i].getColor() == RED) {
			for (int j = 0; j < S.size(); j++) S[j].forward(r);
			ans += r;
		}
		else if (r < W) {
			for (int j = 0; j < S.size(); j++) S[j].forward(r + S[i].T);
			ans += r + S[i].T;
		}
	}
	// 最後の信号からゴールまで移動
	ans += L - x;

	cout << ans << endl;

	return 0;
}

int main()
{
	//clock_t start, end;
	//start = clock();

	yuki0139();

	//end = clock();
	//printf("%d msec.\n", end - start);

	return 0;
}