#include <bits/stdc++.h>
#include <iostream>
#include <vector>
#include <algorithm>
#include <cmath>
#include <iomanip>
#include "tickets.h"
using namespace std;
#define all(a) (a).begin(), (a).end()
#define sz(a) (int)(a).size()
#define ll long long
#define ld long double
#define ui uint64_t
#define cont(set, element) ((set).find(element) != (set).end())
/********* DEBUG *********/
template <typename T>
void outvec(const vector<T>& Z){
for (const T& x : Z)
cout << x << ' ';
cout << "\n";
}
void printVariable(const any& var) {
if (!var.has_value()) {
cout << "null";
return;
}
if (var.type() == typeid(int)) {
cout << any_cast<int>(var);
} else if (var.type() == typeid(double)) {
cout << any_cast<double>(var);
} else if (var.type() == typeid(float)) {
cout << any_cast<float>(var);
} else if (var.type() == typeid(char)) {
cout << any_cast<char>(var);
} else if (var.type() == typeid(bool)) {
cout << (any_cast<bool>(var) ? "true" : "false");
} else if (var.type() == typeid(string)) {
cout << any_cast<string>(var);
} else if (var.type() == typeid(const char*)) {
cout << any_cast<const char*>(var);
} else if (var.type() == typeid(long long)) {
cout << any_cast<long long>(var);
} else {
cout << "[unknown type]";
}
}
template<typename... Args>
void outval(Args... args) {
vector<any> variables = {args...};
for (size_t i = 0; i < variables.size(); ++i) {
printVariable(variables[i]);
if (i != variables.size() - 1) {
cout << " ";
}
}
cout << "\n";
}
#define nl "\n"
#define sp << " " <<
/********* DEBUG *********/
const ll MOD = 1000000007;
const ll inf = 1e18;
const ll mxN = 1000005;
struct vals {
ll color,hi,lo,hi_idx,lo_idx;
};
struct cmpleft {
bool operator()(vals &a, vals &b){
return a.hi + a.lo < b.hi + b.lo;
}
};
struct cmpright{
bool operator()(vals &a, vals &b){
return a.hi + a.lo > b.hi + b.lo;
}
};
ll find_maximum(int k, vector<vector<int>> x) {
int n = x.size();
int m = x[0].size();
priority_queue<vals, vector<vals>, cmpleft> leftq;
priority_queue<vals, vector<vals>, cmpright> rightq;
ll ans = 0;
for (int i = 0; i < n; i++){
vals push;
push.color = i;
push.hi = INT_MIN;
push.lo = INT_MAX;
for (int j = 0; j < m; j++){
if (x[i][j] > push.hi)
push.hi = x[i][j], push.hi_idx = j;
if (x[i][j] < push.lo)
push.lo = x[i][j], push.lo_idx = j;
}
if (i < n/2){
leftq.push(push);
ans -= push.lo;
}
else{
rightq.push(push);
ans += push.hi;
}
}
while (true){
ll curr = ans;
// cout << "swap:\n";
vals cand = leftq.top(); leftq.pop();
curr += cand.lo + cand.hi;
rightq.push(cand);
// cout << cand.color << ' ';
cand = rightq.top(); rightq.pop();
curr -= cand.lo + cand.hi;
leftq.push(cand);
// cout << cand.color << "\n";
if (curr <= ans)
break;
ans = curr;
}
vector<vector<int>> alloc(n, vector<int>(m, -1));
while (sz(rightq) || sz(leftq)){
vals temp;
if (sz(rightq)){
temp = rightq.top(); rightq.pop();
alloc[temp.color][temp.hi_idx] = 0;
}
if (sz(leftq)){
temp = leftq.top(); leftq.pop();
alloc[temp.color][temp.lo_idx] = 0;
}
}
allocate_tickets(alloc);
return ans;
}
