This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int,int> pii;
const int MAXN = 1e5+5;
#define all(x) x.begin(), x.end()
#define sz(x) (int)x.size()
#define pb push_back
#define fr first
#define sc second
int n, k, x;
map<int,ll> qtd, val, pref;
set<int> zerar;
ll prefix(int ind) {
auto ptr = pref.upper_bound(ind);
if(ptr == pref.begin()) return 0;
ptr--;
ll resp = (*ptr).sc + val[(*ptr).fr] * (ind - (*ptr).fr);
return resp;
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cin >> n >> k >> x;
for(int i = 0, a, b, c; i < n; i++) {
cin >> a >> c >> b;
qtd[a]++;
qtd[b+1]--;
val[a+c]++;
val[b+1]--;
if(qtd.count(a+c) == 0) qtd[a+c] = 0;
if(val.count(a) == 0) val[a] = 0;
}
int at = 0;
for(auto [ind, a] : qtd) {
at += a;
qtd[ind] = at;
if(at < k) zerar.insert(ind);
}
at = 0;
ll p = 0, last_ind = 0, last_val = 0;
for(auto [ind, a] : val) {
at += a;
int at2 = at;
if(zerar.count(ind)) at2 = 0;
p += last_val * (ind - last_ind);
pref[ind] = p + at2;
val[ind] = at2;
last_ind = ind;
last_val = at2;
}
ll ans = 0;
for(auto [ind, a] : val) {
ll a1 = prefix(ind) - prefix(ind - x - 1);
ll a2 = prefix(ind + x - 1) - prefix(ind - 1);
ans = max({ans, a1, a2});
}
cout << ans << "\n";
}
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