#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();
vector<vector<pair<int, int>>> sorted_d(n, vector<pair<int, int>>(m));
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
sorted_d[i][j] = make_pair(d[i][j], j);
}
sort(sorted_d[i].begin(), sorted_d[i].end());
}
priority_queue<pair<int, int>> pq;
for (int i = 0; i < n; i++) {
pq.emplace(sorted_d[i][m-1].first + sorted_d[i][k-1].first, 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(sorted_d[id][m-1-taken[id]].first + sorted_d[id][k-1-taken[id]].first, id);
}
vector<vector<int>> alloc(n, vector<int>(m, -1));
vector<vector<bool>> have(k, vector<bool>(n, false));
vector<int> ccnt(k, 0);
vector<int> ptr(n, 0);
vector<tuple<int, int, int>> more_tickets, less_tickets;
for (int i = 0; i < n; i++) {
for (int j = 0; j < taken[i]; j++) {
more_tickets.emplace_back(sorted_d[i][m-j-1].first, i, sorted_d[i][m-j-1].second);
}
for (int j = 0; j < k-taken[i]; j++) {
less_tickets.emplace_back(sorted_d[i][j].first, i, sorted_d[i][j].second);
}
}
sort(more_tickets.begin(), more_tickets.end());
sort(less_tickets.begin(), less_tickets.end());
reverse(more_tickets.begin(), more_tickets.end());
reverse(less_tickets.begin(), less_tickets.end());
for (auto [val, i, j] : more_tickets) {
while (have[ptr[i]][i] || ccnt[ptr[i]] >= n/2) ptr[i]++;
have[ptr[i]][i] = true;
ccnt[ptr[i]]++;
alloc[i][j] = ptr[i];
}
ptr = vector<int>(n, 0);
for (auto [val, i, j] : less_tickets) {
while (have[ptr[i]][i] || ccnt[ptr[i]] >= n) ptr[i]++;
have[ptr[i]][i] = true;
ccnt[ptr[i]]++;
alloc[i][j] = ptr[i];
}
allocate_tickets(alloc);
ll ans = 0;
for (int i = 0; i < n; i++) {
for (int j = 0; j < taken[i]; j++) {
ans += sorted_d[i][m-j-1].first;
}
for (int j = 0; j < k-taken[i]; j++) {
ans -= sorted_d[i][j].first;
}
}
return ans;
}
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