#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef vector<int> VI;
typedef vector<VI> VVI;
#define REP(i, n)           for(int(i)=0;(i)<(n);++(i))
#define FOR(i, f, t)        for(int(i)=(f);(i)<(t);(++i))
const int MOD = int(1e9+7);

int N,L;
int res = 0;

int main(){
    cin >> N >> L;

    int x = 0, t = 0;
    REP(i,N){
        int X,W,T;
        cin >> X >> W >> T;
        int dt = (X-x-1);
        t += dt; x += dt;
        while((t+1)/T%2 || (t+W)/T%2) t++;
    }
    int dt = (L-x);
    t += dt;
    cout << t << endl;

    return 0;
}