#include <iostream>
#define NMAX 100
using namespace std;

int main()
{
	int N, L, A = 0, P = 0;;
	cin >> N >> L;

	int X[NMAX], W[NMAX], T[NMAX];
	for (int i = 0; i < N; ++i)
	{
		cin >> X[i] >> W[i] >> T[i];

		//交差点前まで進む
		A += X[i] - P;
		P = X[i] + W[i];

		//交差点判定
		int Tt = A / T[i];
		if (Tt & 1)
			//既に赤信号なので待つ
			A = T[i] * (Tt + 1);
		else
			//青のうちに渡れるか
			if (T[i] * (Tt + 1) >= A + W[i])
				//渡れる
				A += W[i];
			else
				//渡れない 一生渡れない場合？知らんがな
				A = T[i] * (Tt + 2) + W[i];
	}
	A += L - P;

	cout << A;

	return 0;
}