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

int X[105], W[105], T[105];

int main(){
    ios::sync_with_stdio(false), cin.tie(nullptr);
    int N, L; cin >> N >> L;
    for(int i=0;i<N;i++) cin >> X[i] >> W[i] >> T[i];

    int t = X[0];
    X[N] = L;
    for(int i=0;i<N;i++){
        int k = t / T[i], x = t % T[i];
        if(k%2) t += T[i] - x + W[i];
        else{
            if(x<=T[i]-W[i]) t += W[i];
            else t += 2 * T[i] - x + W[i];
        }
        t += X[i+1] - X[i] - W[i];
    }

    cout << t << endl;
    return 0;
}