#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;
        int f = (((t + W) / T) | (t / T)) & 1;
        T *= 2;
        if(f) {
            delay += (T + (-t % T))%T;
        }
    }
    cout << delay + L << endl;
    return 0;
}