// ItnoE
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
struct CHT
{
typedef pair < ll , ll > Line;
vector < pair < ll , Line > > A;
ll INF = (ll)1e18;
inline void Clear()
{
A.clear();
}
inline void Add(Line X)
{
while (A.size() && Intersection(A.back().second, X) <= A.back().first)
A.pop_back();
if (A.size())
A.push_back({Intersection(A.back().second, X), X});
else
A.push_back({-INF, X});
}
inline ll GetMax(ll X)
{
int lb = upper_bound(A.begin(), A.end(), pair < ll , Line > {X, {INF, INF}}) - A.begin() - 1;
return (A[lb].second.first * X + A[lb].second.second);
}
inline ll Intersection(Line X, Line Y)
{
if (X.first == Y.first && X.second <= Y.second)
return (-INF);
if (X.first == Y.first)
return (INF);
return ((X.second - Y.second) / (Y.first - X.first)) + ((X.second - Y.second) % (Y.first - X.first) > 0);
}
};
const int N = 50004, MXM = 1e6 + 10;
int n, m, A[N], B[N], F[N], MN[MXM];
inline ll SQR(ll a) {return (a * a);}
int64_t take_photos(int q, int mm, int k, vector < int > RG, vector < int > CG)
{
m = mm;
memset(MN, 63, sizeof(MN));
for (int i = 0; i < q; i ++)
{
if (RG[i] > CG[i])
swap(RG[i], CG[i]);
MN[CG[i]] = min(MN[CG[i]], RG[i]);
}
for (int i = 0; i < m; i ++)
if (MN[i] <= i)
{
int b = i, a = i - MN[i] + 1;
while (n && B[n] - A[n] >= b - a)
n --;
n ++; B[n] = b; A[n] = a;
F[n] = B[n] - A[n];
}
CHT C;
ll dp[k + 5][n + 5];
memset(dp, 63, sizeof(dp));
for (int i = 0; i <= k; i ++)
dp[i][0] = 0;
k = min(k, n);
for (int j = 1; j <= k; j ++)
{
C.Clear();
for (int i = 1; i <= n; i ++)
{
ll vl = dp[j - 1][i - 1] + SQR(F[i]);
if (i > 1 && B[i - 1] > F[i])
vl -= SQR(B[i - 1] - F[i]);
if (vl <= (ll)(1e16))
C.Add({F[i], - vl});
dp[j][i] = min(dp[j - 1][i], -C.GetMax(2 * B[i]) + SQR(B[i]));
}
}
/*for (int j = 1; j <= k; j ++)
{
for (int i = 1; i <= n; i ++)
{
dp[j][i] = dp[j - 1][i];
for (int h = 1; h <= i; h ++)
{
ll vl = dp[j - 1][h - 1];
vl += SQR(B[i] - B[h] + A[h]);
if (h > 1 && B[h - 1] > B[h] - A[h])
vl -= SQR(B[h - 1] - (B[h] - A[h]));
dp[j][i] = min(dp[j][i], vl);
}
}
}*/
return (dp[k][n]);
}
/*int main()
{
int q = 2;//5;
int mm = 6;//7;
int k = 2;
vector < int > _R = {1, 4};//{0, 4, 4, 4, 4};
vector < int > _C = {4, 1};//{3, 4, 6, 5, 6};
ll Res = take_photos(q, mm, k, _R, _C);
cout << Res << endl;
}*/
