#include "aliens.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const ll INF = (ll)1e18;
//subtask 2: convex hull or n^3 dp
ll take_photos(int n, int m, int k, vector<int> r, vector<int> c) {
// vector<vector<bool>> grid(m,vector<bool>(m,false));
// for (int i = 0; i < n; i++) {
// for (int j = min(r[i],c[i]); j <= max(r[i],c[i]); j++) {
// for (int k = min(r[i],c[i]); k <= max(r[i],c[i]); k++) {
// grid[j][k] = true;
// }
// }
// }
// ll s = 0;
// for (int j = 0; j < m; j++) for (int k = 0; k < m; k++) s += grid[j][k];
sort(r.begin(),r.end());
vector<vector<ll>> dp(n+1, vector<ll> (k+1,INF));
for (int u = 0; u <= k; u++) dp[0][u] = 0;
for (int i = 1; i <= n; i++) {
for (int u = 1; u <= k; u++) {
for (int j = 0; j < i; j++) {
dp[i][u] = min(dp[i][u],dp[j][u-1] + (r[i-1]-r[j]+1)*(r[i-1]-r[j]+1));
}
}
}
return dp[n][k];
}
