#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
const ll INF = 1e18;
void allocate_tickets(vector<vector<int>> _x);
ll find_maximum(int k, vector<vector<int>> d) {
    int n = d.size(), m = d[0].size();
    
    priority_queue<pair<int, int>> pq;
    for (int i = 0; i < n; i++) {
        pq.emplace(d[i][m-1] + d[i][k-1], i);
    }
    vector<int> taken(n, 0);
    int cnt = n*k/2;
    while (cnt) {
        int id = pq.top().second;
        pq.pop();
        taken[id]++;
        cnt--;
        if (taken[id] < k) pq.emplace(d[id][m-1-taken[id]] + d[id][k-1-taken[id]], id);
    }
    vector<vector<int>> alloc(n, vector<int>(m, -1));
    int cur = 0;
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < taken[i]; j++) {
            alloc[i][m-j-1] = cur;
            cur = (cur+1)%k;
        }
        int tmp = cur;
        for (int j = 0; j < k-taken[i]; j++) {
            alloc[i][k-taken[i]-1-j] = cur;
            cur = (cur+1)%k;
        }
        cur = tmp;
    }
    allocate_tickets(alloc);
    ll ans = 0;
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < taken[i]; j++) {
            ans += d[i][m-j-1];
        }
        for (int j = 0; j < k-taken[i]; j++) {
            ans -= d[i][j];
        }
    }
    return ans;
}
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