#include <bits/stdc++.h>

using namespace std;

#define REP(i,n) for(int i=0; i<(int)(n); i++)

int main() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);

  int n, l;

  int ret = 0;
  int pos = 0;

  cin >> n >> l;
  REP (i, n) {
    int x, w, t;
    cin >> x >> w >> t;

    // move to crossroad
    ret += x - pos;
    pos += x - pos;

    // wait
    int r = ret % (2 * t);
    if (r < t) {  // blue light
      if (t - r < w) {
        ret += 2 * t - r;
      }
    } else {      // red light
      ret += 2 * t - r;
    }
    
    // cross crossroad
    ret += w;
    pos += w;
  }

  ret += l - pos;
  cout << ret << endl;
  
  return 0;
}