#include "bits/stdc++.h"
#include "aliens.h"
using namespace std;
long long sqr(long long num){
return num*num;
}
long long take_photos(int n, int m, int k, vector<int> r, vector<int> c) {
vector <pair<int ,int>> rngs ,po;
for(int i=0; i<n; i++){
if(r[i] < c[i])
swap(r[i] ,c[i]);
rngs.push_back({c[i] ,-r[i]});
}
sort(rngs.begin() ,rngs.end());
int mx = 0;
for(auto&r : rngs) if(-r.second > mx){
po.push_back({r.first ,-r.second});
mx = -r.second;
}
po.insert(po.begin() ,make_pair(-1 ,-1));
n = po.size();
vector <long long> dp(n ,1e18) ,exdp(n ,1e18);
dp[0] = 0;
while(k--){
swap(dp ,exdp);
for(int i=1; i<n; i++)
for(int j=0; j<i; j++)
dp[i] = min(dp[i] ,exdp[j] + sqr(po[i].second-po[j+1].first+1) - sqr(max(0 ,po[j].second-po[j+1].first+1)));
}
return dp.back();
}
