#include <bits/stdc++.h>

using namespace std;

#define rep(i, n) for(int i = 0; i < (int)n; ++i)
#define FOR(i, a, b) for(int i = a; i < (int)b; ++i)
#define rrep(i, n) for(int i = ((int)n - 1); i >= 0; --i)

typedef long long ll;
typedef long double ld;

const int Inf = 1e9;
const double EPS = 1e-9;
const int MOD = 1e9 + 7;

int main() {
    cin.tie(nullptr);
    ios::sync_with_stdio(0);
    int n, l;
    cin >> n >> l;
    int pos = 0, time = 0;
    rep (i, n) {
        int x, w, t;
        cin >> x >> w >> t;
        time += x - pos;
        pos = x + w;
        int f = time % (2 * t);
        if (f > t - w) {
            time +=  2 * t - f;
        }
        time += w;
    }
    time += l - pos;
    cout << time << endl;
    
    return 0;
}