#include "tickets.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
const ll MOD = 998244353;
const ll INF = 1e18;
const ld EPS = 1e-12;
#define endl "\n"
#define sp <<" "<<
#define REP(i, a, b) for(ll i = a; i < b; i++)
#define dbg(x) cout << #x << " = " << x << endl
#define mp make_pair
#define pb push_back
#define fi first
#define se second
#define fast_io() ios_base::sync_with_stdio(false); cin.tie(NULL)
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define sz(x) ((ll)(x).size())
struct custom_hash {
static uint64_t splitmix64(uint64_t x) {
// http://xorshift.di.unimi.it/splitmix64.c
x += 0x9e3779b97f4a7c15;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
}
size_t operator()(uint64_t x) const {
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x + FIXED_RANDOM);
}
};
template <typename Key, typename Value>
using hash_map = unordered_map<Key, Value, custom_hash>;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
// uniform_int_distribution<int>(a, b)(rng);
// shuffle(all(a), rng);
ll find_maximum(int k, vector<vector<int>> x) {
ll n = x.size();
ll m = x[0].size();
assert(k == 1);
ll ans = 0;
// sort by val, keep track of pos
vector<vector<int>> pos(n, vector<int>(m));
REP(i, 0, n) {
REP(j, 0, m) {
pos[i][j] = j;
}
sort(all(pos[i]), [&](const int &a, const int &b) -> bool {
return x[i][a] < x[i][b];
});
}
auto find = [&](const int &i, const int &j) {
return x[i][pos[i][j]];
};
priority_queue<pair<int, int>> pq;
// b will always be median
// ans will always be greatest n/2 minus smallest n/2
REP(i, 0, n) {
// take smallest k
ans -= find(i, 0);
pq.push({find(i, m-1) + find(i, 0), i});
}
// take greatest n/2 paired with its smallest to balance sum properly
vector<bool> use(n, false);
REP(i, 0, n / 2) {
pair<int, int> cand = pq.top(); pq.pop();
ans += cand.first;
use[cand.second] = true;
}
vector<vector<int>> g(n, vector<int>(m, -1));
// apply
REP(j, 0, n) {
if (use[j]) {
g[j][pos[j][m-1]] = 0;
} else {
g[j][pos[j][0]] = 0;
}
}
allocate_tickets(g);
return ans;
}
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