/* -*- coding: utf-8 -*-
 *
 * 139.cc: No.139 交差点 - yukicoder
 */

#include<cstdio>
#include<cstdlib>
#include<cstring>
#include<cmath>
#include<iostream>
#include<string>
#include<vector>
#include<map>
#include<set>
#include<stack>
#include<list>
#include<queue>
#include<deque>
#include<algorithm>
#include<numeric>
#include<utility>
#include<complex>
#include<functional>
 
using namespace std;

/* constant */

/* typedef */

/* global variables */

/* subroutines */

inline bool is_red(int t, int ti) { return ((t / ti) & 1) != 0; }

/* main */

int main() {
  int n, l;
  cin >> n >> l;

  int pos = 0, t = 0;
  for (int i = 0; i < n; i++) {
    int xi, wi, ti;
    cin >> xi >> wi >> ti;

    t += xi - pos;
    pos = xi;

    if (is_red(t, ti) || is_red(t + wi, ti)) {
      int ti2 = ti * 2;
      t = (t + ti2 - 1) / ti2 * ti2;
    }

    t += wi;
    pos += wi;
  }

  printf("%d\n", t + l - pos);
  return 0;
}