#include "permgame.h"
#include <vector>
#include <utility>
#include <bits/stdc++.h>
#define dbg(x) cerr << #x << ' ' << x << endl;
#define ll long long
#define inf (ll) 1e17
using namespace std;
// vector<int> t={ind[i],i};
// int j = Bob(t);
// std::swap(p[t[u[j]]], p[t[v[j]]]);
vector<bool> vis;
void dfs(ll node, vector<int>& g, vector<int>& p, ll first)
{
if(vis[node]) return;
vis[node]=true;
g.push_back(node);
dfs(p[node],g,p,first);
}
int Alice(int m, int e, std::vector<int> u, std::vector<int> v, int n, std::vector<int> p) {
vector<vector<ll>> adj(m);
vis.assign(n,0);
ll curans=0;
for (int i=0;i<n;i++)
{
curans+=p[i]==i;
}
for (int i=0;i<e;i++)
{
adj[u[i]].push_back(v[i]);
adj[v[i]].push_back(u[i]);
}
for (int i=0;i<m;i++)
{
if(adj[i].size() > 2)
{
return curans;
}
}
for (int i=0;i<n;i++)
{
if(p[i]!=i && !vis[i])
{
vector<int> g;
for (int j=i;1;j=p[j])
{
vis[j]=1;
g.push_back(j);
if(p[j]==i)
{
break;
}
}
if(g.size()%2)
{
curans++;
while(g.size()>2)
{
vector<int> t={g[0],g[1],g[2]};
int j = Bob(t);
std::swap(p[t[u[j]]], p[t[v[j]]]);
// if(abs(u[j]-v[j])==1)break;
g.clear();
vector<int> g;
for (int j=i;1;j=p[j])
{
g.push_back(j);
if(p[j]==i)
{
break;
}
}
}
}
}
}
ll cnt=0;
for (int i=0;i<n;i++)
{
cnt+=p[i]==i;
}
return cnt;
}
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