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// Source: https://oj.uz/problem/view/IOI20_tickets
//
#include "tickets.h"
#include "bits/stdc++.h"
using namespace std;
#define s second
#define f first
#define pb push_back
typedef long long ll;
typedef pair<ll, ll> pii;
typedef vector<pii> vpii;
typedef vector<ll> vi;
#define FOR(i, a, b) for (ll i = (a); i<b; i++)
bool ckmin(ll& a, ll b){ return b < a ? a = b, true : false; }
bool ckmax(ll& a, ll b){ return b > a ? a = b, true : false; }
// void allocate_tickets(vector<vi> s) {
// // for (auto val: s) {
// // for (auto j : val) cout << j << ' ';
// // cout << endl;
// // }
// }
ll find_maximum(int k, vector<vector<int> > x) {
ll n = x.size();
ll m = x[0].size();
vi state(n, m - k); // stores range of indices for larger half
vi start(n, 0);
ll res = 0;
priority_queue<pii> q;
FOR(i, 0, n) {
FOR(j, m-k, m) res += x[i][j];
q.push( {-x[i][state[i]] - x[i][start[i]], i});
}
FOR(i, 0, k * n / 2) {
ll cur = q.top().s;
res += q.top().f;
q.pop();
state[cur]++;
start[cur]++;
if (state[cur] != m) q.push( {-x[i][state[i]] - x[i][start[i]], i});
}
vector<vector<int> > final(n, vector<int> (m, -1));
ll round = 0;
FOR(i, 0, n) {
FOR(j, 0, start[i]) {
final[i][j] = round;
round++;
}
}
FOR(i, 0, n) {
set<ll> vals;
FOR(i, 0, k) vals.insert(i);
for (auto val: final[i]) if (val != -1) vals.erase(val);
FOR(j, state[i], m) {
final[i][j] = *vals.begin();
vals.erase(vals.begin());
}
}
allocate_tickets(final);
return res;
}
// ll main() {
// // ios::sync_with_stdio(false);
// // cin.tie(nullptr);
// // ll res = find_maximum(2, {{0, 2, 5}, {1, 1, 3}});
// // cout << res << endl;
// }
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