#include<bits/stdc++.h>
using namespace std;
#define ff first
#define ss second
#define pb push_back
#define int long long
const int N=3e5+5;
int ps[N];
int ps2[N];
signed main(){
int n,k,x;
cin>>n>>k>>x;
vector<vector<int>>vc;
for(int i=1;i<=n;i++){
int l,t,r;
cin>>l>>t>>r;
vc.pb({l,t,r});
ps[l]++;
ps[r+1]--;
}
for(int i=1;i<=1000;i++){
ps[i]+=ps[i-1];
}
for(auto v:vc){
int l=v[0],t=v[1],r=v[2];
for(int i=l+t;i<=r;i++){
if(ps[i]>=k)ps2[i]++;
}
}
for(int i=1;i<=1000;i++){
ps2[i]+=ps2[i-1];
}
int mx=0;
for(int i=x;i<=1000;i++){
mx=max(mx,ps2[i]-ps2[i-x]);
}
cout<<mx;
}
/* 5 3 4
2 1 4
3 3 7
3 3 8
1 5 7
5 3 8
3 2 22
7 16 33
69 14 88
8 10 97
*/
