#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
int main(){
    int n,l;cin >> n >> l;
    vector<int> x(n),w(n),t(n);
    for(int i=0;i<n;i++){
        cin >> x[i] >> w[i] >> t[i];
    }
    int now=0,tim=0;
    for(int i=0;i<n;i++){
        tim+=x[i]-now;
        now=x[i];
        if((tim/t[i])%2==0&&tim+w[i]<=(tim+t[i]-1)/t[i]*t[i]){
            tim+=w[i];
            now+=w[i];
        }
        else{
            tim=(tim+2*t[i]-1)/(2*t[i])*(2*t[i]);
            tim+=w[i];
            now+=w[i];
        }
    }
    tim+=l-now;
    cout << tim << endl;
}