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

signed main(){
  int N, L; cin >> N >> L;
  int x = 0, t = 0;
  for( int i = 0; i < N; ++i ){
    int X, W, T; cin >> X >> W >> T;
    t += X - x;
    x = X;
    if( ( t / T ) & 1 ){ // red light
      t += T - t % T;
      t += W;
      x += W;
    } else{ // green light
      if( T - t % T >= W )
        t += W,
        x += W;
      else
        t += T - t % T + T,
        t += W,
        x += W;
    }
    if( i + 1 == N )
      t += L - x;
    // cout << x << " " << t << endl;
  }
  cout << t << endl;
  return 0;
}