#include "permgame.h"
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define pb push_back
#define ff first
#define ss second
#define all(s) s.begin(),s.end()
#define rall(s) s.rbegin(),s.rend()
const int N=400;
vector<int>g[N];//initial graph/not P
vector<bool>vis(N);
vector<int>line;
vector<vector<int>>f;
void find(int x){
line.pb(x);
vis[x]=true;
for(int y:g[x]){
if(!vis[y]){
find(y);
}
}
}
void dfs(int x){
vis[x]=true;
f.back().pb(x);
for(int y:g[x]){
if(!vis[y]){
dfs(y);
}
}
}
int Alice(int m, int e, vector<int> u, vector<int> v, int n, vector<int> p) {
vector<int> t(m);
if(m==2){
for(int i=0;i<n;i++){
if(p[i]!=i){
for(int j=i+1;j<n;j++){
if(p[j]==i){
t[0]=i;
t[1]=j;
int j=Bob(t);
swap(p[t[u[j]]], p[t[v[j]]]);
break;
}
}
}
}
return n;
}
int ans=0;
for(int i=0;i<n;i++){
if(p[i]==i){
ans++;
}
}
if(e>m){
return ans;
}
int start=ans;
if(e==m-1){
int deg=0;
for(int i=0;i<e;i++){
g[u[i]].pb(v[i]);
g[v[i]].pb(u[i]);
}
for(int i=0;i<m;i++){
deg=max(deg,(int)g[i].size());
}
if(deg>=3){
return ans;
}
for(int i=0;i<m;i++){
if(g[i].size()==1){
find(i);
break;
}
}
int play=n*10;
while(play--){
fill(all(vis),false);
for(int i=0;i<n;i++){
g[i].clear();
}
f.clear();
for(int i=0;i<n;i++){
g[p[i]].pb(i);
g[i].pb(p[i]);
}
for(int i=0;i<n;i++){
if(!vis[i]){
f.pb({});
dfs(i);
}
}
sort(all(f),[&](vector<int>a,vector<int>b){
return (int)a.size()>(int)b.size();
});
vector<int>ord;
for(int i=0;i<f.size();i++){
for(int x:f[i]){
ord.pb(x);
}
}
for(int i=0;i<m;i++){
t[line[i]]=ord[i];
}
int j=Bob(t);
swap(p[t[u[j]]], p[t[v[j]]]);
{
int cnt=0;
for(int i=0;i<n;i++){
if(p[i]==i){
cnt++;
}
}
if(cnt>=max(n-m+1,start)){
break;
}
}
}
return max(n-m+1,start);
}
return 0;
}
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