#include<bits/stdc++.h>
#define rep(i,a,b) for(int i=int(a);i<int(b);++i)
using namespace std;
typedef long long ll;
int INF = (1LL << 30) - 1;
int MOD = 1e9+7;
main(){
    int N,L;
    cin >> N >> L;
    int nx = 0, nt = 0;
    rep(i,0,N){
        int x,w,t;
        cin >> x >> w >> t;
        nt += x - nx;
        nx = x;
        //赤のとき
        if(nt / t % 2 == 1){
            nt = (nt + t) / t * t + w;
            nx += w;
        }else{
            //渡りきれるとき
            if(nt + w <= (nt + t) / t * t){
                nt += w;
            }else{
                nt = (nt + t * 2) / t * t + w;
            }
            nx += w;
        }
    }
    nt += L - nx;
    cout << nt << endl;
}