#include <iostream>
#include <vector>
#include <algorithm>
#include <cmath>

#define FORR(i,b,e) for(int i=(b);i<(int)(e);++i)
#define FOR(i,e) FORR(i,0,e)
#define sortuniq(v) sort(v.begin(), v.end()), v.erase(unique(v.begin(),v.end()),v.end())
#define dump(var) cerr << #var ": " << var << "\n"
#define dumpc(con) for(auto& e: con) cerr << e << " "; cerr<<"\n"

typedef long long ll;
typedef unsigned long long ull;

const double EPS = 1e-6;
const int d4[] = {0, -1, 0, 1, 0};

using namespace std;


int main() {
    cin.tie(0);
    ios::sync_with_stdio(false);

    int N, L;
    cin >> N >> L;
    vector<int> X(N), W(N), T(N);
    FOR(i, N) cin >> X[i] >> W[i] >> T[i];

    int x = 0, t = 0;
    FOR(i, N) {
        t += X[i]-x;
        int tmod = t % (T[i] * 2);
        if (T[i]-W[i] < tmod) {
            t += (T[i] * 2) - tmod;
        }
        t += W[i];
        x = X[i] + W[i];
    }
    t += L - x;
    
    cout << t << endl;

    return 0;
}