#include <bits/stdc++.h>
using namespace std;
int main() {
    #ifdef DEBUG
    std::ifstream in("/home/share/inputf.in");
    std::cin.rdbuf(in.rdbuf());
    #endif
    int N, L;
    cin >> N >> L;
    int delay = 0, t = 0;
    int X, W, T;
    for(int i = 0; i < N; i++) {
        cin >> X >> W >> T;
        t = X + delay;
        if((t + W) % (2 * T) > T) {
            delay += 2 * T - (t % (2 * T));
        }
    }
    cout << delay + L << endl;
    return 0;
}