#define fast ios_base::sync_with_stdio(0),cin.tie(0),cout.tie(0)
#include <bits/stdc++.h>
using namespace std;
#define sqr 200
#define mid (l+r)/2
#define pb push_back
#define ppb pop_back
#define fi first
#define se second
#define lb lower_bound
#define ub upper_bound
#define ins insert
#define era erase
#define C continue
#define mem(dp,i) memset(dp,i,sizeof(dp))
#define mset multiset
typedef long long ll;
typedef short int si;
typedef long double ld;
typedef pair<int,int> pi;
typedef pair<ll,ll> pll;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<pi> vpi;
typedef vector<pll> vpll;
const ll mod=1e9+7;
const ll inf= 4e18;
const ld pai=acos(-1);
#include "aliens.h"
ll n,m,k;
vll v;
ll dp[509][509];
ll x[509],y[509],MX[509],MN[509];
pair<pll,pll> calc(ll x,ll y){
if(x==y)return {{x,x},{y,y}};
if(x<y){
ll X=y-x;
return {{x-X,x},{y,y+X}};
}
ll X=x-y;
return {{x,x+X},{y-X,y}};
}
ll bt(ll id,ll crnt){
if(id==v.size()){
if(crnt>k)return inf;
return 0;
}
ll &ret=dp[id][crnt];
if(ret!=-1)return ret;
ret=inf;
ll cost=0;
ll xmx=0,xmn=inf,ymx=0,ymn=inf;
for(ll i=id;i<v.size();i++){
pair<pll,pll> X=calc(v[i],MN[v[i]]);
xmn=min(xmn,X.fi.fi);
xmx=max(xmx,X.fi.se);
ymn=min(ymn,X.se.fi);
ymx=max(ymx,X.se.se);
X=calc(v[i],MX[v[i]]);
xmn=min(xmn,X.fi.fi);
xmx=max(xmx,X.fi.se);
ymn=min(ymn,X.se.fi);
ymx=max(ymx,X.se.se);
ll sz= min( xmx - xmn , ymx - ymn )+1;
ret=min(ret,bt(i+1,crnt+1) + sz*sz );
}
return ret;
}
ll take_photos(int N, int M, int K, vi r, vi c) {
mem(dp,-1);
n=N,k=K,m=M;
set<ll>s;
for(int i=0;i<n;i++){
x[i]=r[i];
y[i]=c[i];
s.ins(y[i]);
MN[y[i]]=inf;
}
for(int i=0;i<n;i++){
MX[y[i]]=max(MX[y[i]],x[i]);
MN[y[i]]=min(MN[y[i]],x[i]);
}
for(auto u:s)v.pb(u);
return bt(0,0);
}
