#include<bits/stdc++.h>
using namespace std;
using Int = long long;
template<typename T1,typename T2> inline void chmin(T1 &a,T2 b){if(a>b) a=b;}
template<typename T1,typename T2> inline void chmax(T1 &a,T2 b){if(a<b) a=b;}

//INSERT ABOVE HERE
signed 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 ans=0,lst=0;
  for(Int i=0;i<n;i++){
    assert(lst<=x[i]);
    ans+=x[i]-lst;
    Int tmp=ans%(2*t[i]);
    if(tmp+w[i]>t[i]) ans+=2*t[i]-tmp;
    ans+=w[i];
    lst=x[i]+w[i];
  }
  
  assert(lst<=l);
  ans+=l-lst;
  cout<<ans<<endl;
  return 0;
}