#include "bits/stdc++.h"
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
const int INF = 1e9;
const ll LINF = 1e18;
template<class S,class T> ostream& operator << (ostream& out,const pair<S,T>& o){ out << "(" << o.first << "," << o.second << ")"; return out; }
template<class T> ostream& operator << (ostream& out,const vector<T> V){ for(int i = 0; i < V.size(); i++){ out << V[i]; if(i!=V.size()-1) out << " ";} return out; }
template<class T> ostream& operator << (ostream& out,const vector<vector<T> > Mat){ for(int i = 0; i < Mat.size(); i++) { if(i != 0) out << endl; out << Mat[i];} return out; }
template<class S,class T> ostream& operator << (ostream& out,const map<S,T> mp){ out << "{ "; for(auto it = mp.begin(); it != mp.end(); it++){ out << it->first << ":" << it->second; if(mp.size()-1 != distance(mp.begin(),it)) out << ", "; } out << " }"; return out; }

/*
 <url:https://yukicoder.me/problems/no/139>
 問題文============================================================
 =================================================================
 解説=============================================================
 ================================================================
 */

ll solve(){
    ll res = 0;
    ll N,L; cin >> N >> L;
    vector<ll> X(N),W(N),T(N);
    for(int i = 0; i < N;i++) cin >> X[i] >> W[i] >> T[i];
    ll preX = 0;
    for(int i = 0; i < N;i++){
        res += X[i] - preX;
        
        ll nowT = res, nextT = nowT + W[i];
        ll nowColor = nowT/T[i]%2;
        if(nowColor){ // 赤信号
            nowT = (nowT+T[i]-1)/T[i]*T[i]; // 信号が変わるまで待つ
            nextT = nowT + W[i];
        }else{ // 青信号
            if(nowT/T[i]%2 != (nextT-1)/T[i]%2){ // 渡ったとき信号が変わるのであれば
                nowT = (nowT+T[i]-1)/T[i]*T[i]+T[i]; // 信号が2回変わるまで待つ
                nextT = nowT + W[i];
            }
        }
        
        res = nextT;
        preX = X[i]+W[i];
    }
    res += L - preX;
    return res;
}
int main(void) {
    cin.tie(0); ios_base::sync_with_stdio(false);
    cout << solve() << endl;
    return 0;
}