#include "islands.h"
#include <bits/stdc++.h>
#define rep(a,b,c) for(ll a=b; a<c; a++)
#define repr(a,b,c) for(ll a=b-1; a>c-1; a--)
#define repa(a,b) for(auto a:b)
#define ll long long
#define pll pair<ll, ll>
#define pii pair<int, int>
#define fi first
#define se second
#define pb push_back
#define mid ((l+r)>>1)
#define ppb pop_back
#define pf push_front
#define all(a) a.begin(),a.end()
using namespace std;
using vi = vector<int>;
template<typename T>
using vec = vector<T>;
const int N=2e5+5;
vec<pii> adj[N], iadj[N];
bool rem[N], vis[N];
int out[N];
bool solve(int u, int p){
int c=0;
repa(v,adj[u]){
if(rem[v.se] || v.fi==p) continue;
c++;
}
if(out[u]>2 || c>=2) return true;
vis[u]=true;
repa(v,adj[u]){
if(rem[v.se] || vis[v.fi]) continue;
if(solve(v.fi,u)) return true;
}
return false;
}
std::variant<bool, std::vector<int>> find_journey(
int N, int M, std::vector<int> U, std::vector<int> V){
rep(i,0,M) adj[U[i]].pb({V[i],i});
rep(i,0,M) iadj[V[i]].pb({U[i],i}), out[U[i]]++;
int u;
queue<int> nodes, edges;
rep(i,0,N) if(!out[i]) nodes.push(i);
do{
while(nodes.size()){
u=nodes.front();
nodes.pop();
repa(e,iadj[u]) edges.push(e.se);
}
while(edges.size()){
u=edges.front();
edges.pop();
rem[u]=true;
out[U[u]]--;
if(!out[U[u]]) nodes.push(u);
}
}while(nodes.size());
return solve(0,-1);
}
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