#include "aliens.h"
#include <bits/stdc++.h>
using namespace std;
#define OPTM ios_base::sync_with_stdio(0); cin.tie(0);
#define INF int(1e9+7)
#define ln '\n'
#define ll long long
#define ull unsigned long long
#define ui unsigned int
#define us unsigned short
#define FOR(i,s,n) for (int i = s; i < n; i++)
#define FORR(i,n,s) for (int i = n; i > s; i--)
#define FORX(u, arr) for (auto u : arr)
#define PB push_back
#define in(v,x) (v.find(x) != v.end())
#define F first
#define S second
#define PII pair<int, int>
#define PLL pair<ll, ll>
#define UM unordered_map
#define US unordered_set
#define PQ priority_queue
#define ALL(v) v.begin(), v.end()
const ll LLINF = 1e18+1;
#define int long long
const int MAXN = 5e2+5;
int n;
int dp[MAXN][MAXN];
vector<PII> tmp,v;
int sq(int x) {return x*x;}
bool cmp(const PII &a, const PII &b) {
if (a.F == b.F) return a.S > b.S;
return a.F < b.F;
}
long long take_photos(int32_t N, int32_t m, int32_t k, vector<int32_t> R, vector<int32_t> C) {
FOR(i,0,N) tmp.PB({min(R[i],C[i]),max(R[i],C[i])});
sort(ALL(tmp),cmp);
// v.PB({-1,-1}); // padding
int ma = -1LL;
FOR(i,0,N) if (tmp[i].S > ma) ma = tmp[i].S, v.PB(tmp[i]);
n = v.size();
// cout << ln;
// FORX(u,v) cout << u.F << " " << u.S << ln;
// cout << ln;
FOR(j,0,k+1) dp[0][j] = 0LL;
FOR(i,1,n+1) FOR(j,0,k+1) dp[i][j] = LLINF;
FOR(i,1,n+1) {
FOR(j,1,k+1) {
FOR(l,0,i) {
if (l > 0 && v[l-1].S-v[l].F+1LL > 0LL) {
dp[i][j] = min(dp[i][j], dp[l][j-1]+sq(v[i-1].S-v[l].F+1LL)-sq(v[l-1].S-v[l].F+1LL));
}
else {
dp[i][j] = min(dp[i][j], dp[l][j-1]+sq(v[i-1].S-v[l].F+1LL));
}
}
}
}
return dp[n][k];
}
