#include <bits/stdc++.h>
using namespace std;

int main()
{
	int N, L;
	cin >> N >> L;
	int wait = 0;
	for (int i = 0; i < N; i++)
	{
		int x, w, t;
		cin >> x >> w >> t;
		int cur = x + wait;
		int s = cur % (2 * t), e = s + w;
		if (e > t)
			wait += 2 * t - s;
	}
	cout << wait + L << endl;
}