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

#define FOR(i,a,b) for(ll i=(a);i<(b);++i)
#define ALL(v) (v).begin(), (v).end()
#define p(s) cout<<(s)<<endl
#define p2(s, t) cout << (s) << " " << (t) << endl
#define br() p("")
#define pn(s) cout << (#s) << " " << (s) << endl
#define p_yes() p("Yes")
#define p_no() p("No")

const ll mod = 1e9 + 7;
const ll inf = 1e18;

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

    // input
    ll N, L;
    cin >> N >> L;

    ll current = 0;
    ll t = 0;

    FOR(i, 0, N){
        ll X, W, T;
        cin >> X >> W >> T;

        t += X - current;
        current = X;
        
        // 今渡れる？
        ll t2 = t % (2*T);
        bool can_enter = false;
        if(0<=t2 && t2<T){
            can_enter = true;
        }

        bool can_pass = false;
        if(can_enter){
            // 渡り終えられる？
            ll t3 = t + W;
            t3 = t3 % (2*T);
            if(0<=t3 && t3<=T){
                can_pass = true;
            }
        }

        if(can_pass){
            //  待たずに渡る
        }
        else{
            ll wait_time = (2*T) - t % (2*T);
            t += wait_time;
        }
        t += W;
        current += W;
    }

    t += L-current;
    p(t);
    
    return 0;
}