#include "tickets.h"
#include <bits/stdc++.h>
using namespace std;
const int INF = (int)2e9;
using LL = long long;
int L[2004];
vector < int > dif[2004];
set < pair < int, int > > big, low;
set < pair < int, int > >::iterator b, l;
int pos[2004];
vector < int > use_l[2004], use_r[2004];
long long find_maximum(int k, std::vector<std::vector<int>> x) {
int N = x.size();
int M = x[0].size();
std::vector<std::vector<int>> answer;
answer.resize(N);
LL sum = 0;
for(int i = 0; i < N / 2; ++i){
answer[i].resize(M);
L[i] = k;
for(int j = k - 1; j >= 0; --j){
sum -= x[i][j];
dif[i].push_back(x[i][M - (k - j)] + x[i][j]);
}
dif[i].push_back(-INF);
big.insert(make_pair(dif[i][0], i));
}
for(int i = N / 2; i < N; ++i){
answer[i].resize(M);
L[i] = 0;
for(int j = M - k; j < M; ++j){
sum += x[i][j];
dif[i].push_back(-x[i][j] - x[i][j - (M - k)]);
}
dif[i].push_back(-INF);
low.insert(make_pair(dif[i][0], i));
}
while(1){
b = --big.end(), l = --low.end();
LL val = b->first + l->first;
if(val <= 0){
break;
}
sum += val;
++pos[b->second], big.insert(make_pair(dif[b->second][pos[b->second]], b->second)); --L[b->second];
++pos[l->second], low.insert(make_pair(dif[l->second][pos[l->second]], l->second)); ++L[l->second];
big.erase(b);
low.erase(l);
}
for(int i = 0; i < N; ++i){
for(int j = 0; j < L[i]; ++j){
use_l[i].push_back(j);
}
for(int j = M - k + L[i]; j < M; ++j){
use_r[i].push_back(j);
}
}
for(int i = 0; i < N; ++i){
for(int j = 0; j < M; ++j){
answer[i][j] = -1;
}
}
for(int i = 0; i < k; ++i){
int cnt = 0;
for(int j = 0; j < N; ++j){
if(cnt < N / 2 && (int)use_l[j].size()){
++cnt;
answer[j][use_l[j].back()] = i;
use_l[j].pop_back();
}
else{
answer[j][use_r[j].back()] = i;
use_r[j].pop_back();
}
}
}
allocate_tickets(answer);
return sum;
}
