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

int main(){
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);

    int N,L; cin >> N >> L;
    int time = 0,x = 0;
    while(N--){
        int X,W,T; cin >> X >> W >> T;
        int move = X-x;
        time += move;
        if(T-time%(2*T) < W) time += 2*T-time%(2*T);
        x = X+W,time += W;
    }
    time += L-x;
    cout << time << endl;
}