#include "tickets.h"
#include<bits/stdc++.h>
#define pb push_back
#define mp make_pair
#define f0r(i,n) for(int i = 0; i<n; i++)
#define FOR(i, k, n) for(int i = k; i<n; i++)
#define vi vector<long long>
#define vvi vector<vi>
#define pii pair<int,int>
#define vb vector<bool>
#define vout(v) for(auto u : v)cout<<u<<' '; cout<<'\n';
#define dout(x) cout<<x<<' '<<#x<<'\n';
using namespace std;
long long find_maximum(int k, std::vector<std::vector<int>> x) {
int n = x.size();
int m = x[0].size();
/*
std::vector<std::vector<int>> answer;
for (int i = 0; i < n; i++) {
std::vector<int> row(m);
for (int j = 0; j < m; j++) {
if (j < k) {
row[j] = j;
} else {
row[j] = -1;
}
}
answer.push_back(row);
}
allocate_tickets(answer);
*/
vector<vector<int>> ans(n, vector<int>(m, -1));
vi sum(n);
f0r(i,n){
sum[i] = accumulate(x[i].begin(), x[i].end(), 0LL);
}
/*
f0r(i,n)f0r(j,m)ans[i][j] = 0;
vi v;
f0r(i,n)f0r(j,m)v.pb(x[i][j]);
sort(v.begin(), v.end());
long long mid = v[n/2];
long long anss = 0;
f0r(i, n){
anss += abs(v[i] - mid);
}
*/
vi n1(n, -1);
vi n0(n, -1);
f0r(i,n){
f0r(j,m){
if(x[i][j] == 1){
n1[i] = j;
break;
}
}
}
f0r(i,n){
f0r(j,m){
if(x[i][j] == 0){
n0[i] = j;
break;
}
}
}
long long anss = 0;
int zeros = 0;
int ones = 0;
f0r(i, n){
f0r(j,m){
if(x[i][j] == 0)zeros++;
else ones++;
}
}
int r;
if(zeros < ones)r = 0;
else r = 1;
f0r(tt, k){
vi fullr;
vb vis(n);
f0r(i,n){
if(r == 0){
if(n1[i] == -1){
vis[i] = 1;
fullr.pb(i);
}
}
else{
if(n0[i] == -1){
vis[i] = 1;
fullr.pb(i);
}
}
}
int cur = n/2;
for(auto u : fullr){
if(r == 0){
ans[u][n0[u]] = tt;
bool ok = 0;
for(int i = n0[u] + 1; i < m; i++){
if(x[u][i] == 0){
ok = 1;
n0[u] = i;
break;
}
}
if(!ok)n0[u] = -1;
}
else{
ans[u][n1[u]] = tt;
bool ok = 0;
for(int i = n1[u] + 1; i < m; i++){
if(x[u][i] == 1){
ok = 1;
n1[u] = i;
break;
}
}
if(!ok)n1[u] = -1;
}
cur--;
anss++;
}
f0r(i,n){
if(!vis[i]){
if(r == 0){
if(n0[i] == -1 || cur == 0){
ans[i][n1[i]] = tt;
bool ok = 0;
for(int j = n1[i] + 1; j<m; j++){
if(x[i][j] == 1){
ok = 1;
n1[i] = j;
break;
}
}
if(!ok)n1[i] = -1;
}
else{
ans[i][n0[i]] = tt;
bool ok = 0;
for(int j = n0[i] + 1; j<m; j++){
if(x[i][j] == 0){
ok = 1;
n0[i] = j;
break;
}
}
if(!ok)n0[i] = -1;
cur--;
anss++;
}
}
else{
if(n1[i] == -1 || cur == 0){
ans[i][n0[i]] = tt;
bool ok = 0;
for(int j = n0[i] + 1; j<m; j++){
if(x[i][j] == 0){
ok = 1;
n0[i] = j;
break;
}
}
if(!ok)n0[i] = -1;
}
else{
ans[i][n1[i]] = tt;
bool ok = 0;
for(int j = n1[i] + 1; j<m; j++){
if(x[i][j] == 1){
ok = 1;
n1[i] = j;
break;
}
}
if(!ok)n1[i] = -1;
cur--;
anss++;
}
}
}
}
}
allocate_tickets(ans);
return anss;
}
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