#include "aliens.h"
/*
* Author: Nonoze
* Created: Sunday 29/03/2026
*/
#include <bits/stdc++.h>
using namespace std;
#ifndef DEBUG
#define dbg(...)
#endif
// #define cout cerr << "OUT: "
#define endl '\n'
#define endlfl '\n' << flush
#define quit(x) return (void)(cout << x << endl)
template<typename T> void read(T& x) { cin >> x; }
template<typename T1, typename T2> void read(pair<T1, T2>& p) { read(p.first), read(p.second); }
template<typename T> void read(vector<T>& v) { for (auto& x : v) read(x); }
template<typename T1, typename T2> void read(T1& x, T2& y) { read(x), read(y); }
template<typename T1, typename T2, typename T3> void read(T1& x, T2& y, T3& z) { read(x), read(y), read(z); }
template<typename T1, typename T2, typename T3, typename T4> void read(T1& x, T2& y, T3& z, T4& zz) { read(x), read(y), read(z), read(zz); }
template<typename T> void print(vector<T>& v) { for (auto& x : v) cout << x << ' '; cout << endl; }
#define sz(x) (int)(x.size())
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define make_unique(v) sort(all(v)), v.erase(unique(all(v)), (v).end())
#define pb push_back
#define mp(a, b) make_pair(a, b)
#define fi first
#define se second
#define cmin(a, b) a = min(a, b)
#define cmax(a, b) a = max(a, b)
#define YES cout << "YES" << endl
#define NO cout << "NO" << endl
#define QYES quit("YES")
#define QNO quit("NO")
#define int long long
#define double long double
const int inf = numeric_limits<int>::max() / 4;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const int MOD = 1e9+7, LOG=20;
int intersect(pair<int, int> a, pair<int, int> b) {
if (a.fi>b.fi) swap(a, b);
if (a.se<b.fi) return 0;
return (a.se-b.fi+1)*(a.se-b.fi+1);
}
int get_area(pair<int, int> a) {
return (a.se-a.fi+1)*(a.se-a.fi+1);
}
int get_area(pair<int, int> a, pair<int, int> b) {
return get_area(a)+get_area(b)-intersect(a, b);
}
int take_photos(signed n, signed m, signed k, vector<signed> r, vector<signed> c) {
vector<pair<int, int>> a;
for (int i=0; i<n; i++) a.pb({min(r[i], c[i]), max(r[i], c[i])});
sort(all(a), [](pair<int, int> x, pair<int, int> y) {
if (x.fi==y.fi) return x.se>y.se;
return x.fi<y.fi;
});
{
vector<pair<int, int>> b;
for (auto& p: a) {
if (b.empty() || b.back().se<p.se) b.pb(p);
}
swap(a, b);
}
while (sz(a)>k) {
int idx=-1;
for (int i=0; i<sz(a)-1; i++) {
if (idx==-1 || get_area({a[i].fi, a[i+1].se})-get_area(a[i], a[i+1])<get_area({a[idx].fi, a[idx+1].se})-get_area(a[idx], a[idx+1])) idx=i;
}
a[idx+1].fi=a[idx].fi;
a.erase(a.begin()+idx);
}
int res=0;
for (auto& p: a) {
res+=get_area(p);
}
for (int dist=1; dist<2; dist++) {
for (int i=0; i+dist<sz(a); i++) {
int j=i+dist;
if (dist%2) res-=intersect(a[i], a[j]);
else res+=intersect(a[i], a[j]);
}
}
return res;
}
