#include "aliens.h"
#include "bits/stdc++.h"
using namespace std;
const int N = 503;
const long long INF = 1e15;
long long dp[N][N];
long long bt (int id, int rem, const vector<pair<int, int>>& pts, const int& n, const int& m) {
if (rem < 0) {
return INF;
}
if (id == n) {
return 0;
}
long long& ret = dp[id][rem];
if (ret != -1) {
return ret;
}
ret = INF;
int mn = m, mx = -m;
for (int j = id; j < n; ++j) {
auto [r, c] = pts[j];
mn = min({mn, r, c});
mx = max({mx, r, c});
ret = min(ret, bt(j + 1, rem - 1, pts, n, m) + (mx - mn + 1) * (mx - mn + 1));
}
return ret;
}
long long take_photos(int n, int m, int k, std::vector<int> r, std::vector<int> c) {
vector<pair<int, int>> pts(n);
for (int i = 0; i < n; ++i) {
pts[i] = {r[i], c[i]};
}
sort(pts.begin(), pts.end());
memset(dp, -1, sizeof dp);
return bt(0, k, pts, n, m);
}
