#include "tickets.h"
#include <bits/stdc++.h>
using namespace std;
#define MAXN 301
#define MAXM 9001
#define nl '\n'
#define ff first
#define ss second
#define ll long long
#define ld long double
#define terminator main
#define pll pair<ll,ll>
#define add insert
#define append push_back
#define pii pair<int,int>
#define all(x) (x).begin(),(x).end()
int cnt[MAXN][2];
ll a[MAXN][MAXN];
pll dp[MAXN][MAXM];
bool vis[MAXN][MAXN];
ll find_maximum(int k, vector<vector<int>> x) {
int n, m, mx, o;
n = x.size();
m = x[0].size();
mx = n * k / 2;
for(int j = 0; j <= mx; j++)
dp[0][j] = {-1e18, -1e18};
dp[0][0] = {0, 0};
for(int i = 0; i < n; i++){
for(int j = 0; j < k; j++)
a[i][0] -= x[i][j];
for(int s = 0; s <= mx; s++)
dp[i + 1][s] = {dp[i][s].ff + a[i][0], 0};
for(ll j = 1; j <= k; j++){
a[i][j] = a[i][j - 1] + x[i][k - j] + x[i][m - j];
for(int s = 0; s <= mx - j; s++)
dp[i + 1][s + j] = max(dp[i + 1][s + j], {dp[i][s].ff + a[i][j], j});
}
}
ll ans = dp[n][mx].ff;
vector<vector<int>> v = x;
for(int i = 0; i < n; i++)
for(int j = 0; j < m; j++)
v[i][j] = -1;
for(int i = n - 1; i >= 0; i--){
o = dp[i + 1][mx].ss;
for(int s = 0; s < k - o; s++){
for(int r = 0; r < k; r++){
if(vis[r][i] || cnt[r][0] == n / 2)
continue;
vis[r][i] = 1;
cnt[r][0]++;
v[i][s] = r;
break;
}
}
for(int s = m - o; s < m; s++){
for(int r = 0; r < k; r++){
if(vis[r][i] || cnt[r][1] == n / 2)
continue;
vis[r][i] = 1;
cnt[r][1]++;
v[i][s] = r;
break;
}
}
mx -= o;
}
allocate_tickets(v);
return ans;
}
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