#include "aliens.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
//#include "grader.cpp"
const ll inf = 1e16;
inline ll sq (ll x) {
return x * x;
}
struct CHT {
vector <pair <ll, ll>> dd;
void init () {
}
ll query (ll x) {
ll mn = inf;
for (auto j : dd) {
mn = min(mn, j.first * x + j.second);
}
return mn;
}
void insert (ll x, ll y) {
dd.push_back({x, y});
}
};
ll take_photos (int n, int m, int k, vector <int> r, vector <int> c) {
array <ll, 2> a[n + 2];
for (int i = 0; i < n; i++) {
if (r[i] < c[i]) {
swap(r[i], c[i]);
}
c[i]++; r[i]++;
a[i + 1] = {c[i], r[i]};
}
sort(a + 1, a + n + 1, [&] (array <ll, 2> &x, array <ll, 2> &y) {
return x[0] == y[0] ? x[1] > y[1] : x[0] < y[0];
});
ll mx = 0;
array <ll, 2> b[n + 2];
int d = 0;
for (int i = 1; i <= n; i++) {
if (mx >= a[i][1]) {
continue;
}
b[++d] = a[i];
mx = a[i][1];
}
n = d;
ll dp[n + 2][k + 2] = {};
for (int i = 1; i <= n; i++) {
a[i] = b[i];
}
a[n + 1] = {m + 1, m + 1};
for (int i = 1; i <= n; i++) {
dp[i][0] = inf;
}
for (int j = 1; j <= k; j++) {
CHT cur;
cur.init();
for (int i = n; i >= 1; i--) {
cur.insert(-2 * a[i][1], sq(a[i][1]) + 2 * a[i][1] - sq(max(0ll, a[i][1] - a[i + 1][0] + 1)) + dp[i + 1][j - 1]);
dp[i][j] = cur.query(a[i][0]) + sq(a[i][0]) - 2 * a[i][0] + 1;
}
}
return dp[1][k];
}
