#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) (int)a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x,y) ((x+y-1)/(y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl
#define rep(i,n) for(int i = 0; i < n; ++i)
#define rep1(i,n) for(int i = 1; i <= n; ++i)
#define rev(i,s,e) for(int i = s; i >= e; --i)
#define trav(i,a) for(auto &i : a)
template<typename T>
void amin(T &a, T b) {
a = min(a,b);
}
template<typename T>
void amax(T &a, T b) {
a = max(a,b);
}
#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 42
#endif
/*
*/
const int MOD = 1e9 + 7;
const int N = 1e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;
#include "islands.h"
vector<pii> adj[N];
vector<bool> vis(N), recstack(N);
vector<pii> par(N,{-1,-1});
bool cyc = false;
vector<int> ans;
void dfs1(int u){
vis[u] = 1;
recstack[u] = 1;
for(auto [v,id] : adj[u]){
if(vis[v]){
if(recstack[v]){
if(!cyc){
cyc = true;
int curr = u;
vector<int> cyc_edges;
while(curr != v){
cyc_edges.pb(par[curr].ss);
curr = par[curr].ff;
}
reverse(all(cyc_edges));
cyc_edges.pb(id);
vector<int> par_edges;
curr = v;
while(curr){
par_edges.pb(par[curr].ss);
curr = par[curr].ff;
}
ans = par_edges;
reverse(all(ans));
trav(x,cyc_edges) ans.pb(x);
ans.pb(cyc_edges[0]^1);
ans.pb(cyc_edges[0]);
rev(i,sz(cyc_edges)-1,1){
ans.pb(cyc_edges[i]);
}
ans.pb(cyc_edges[0]^1);
trav(x,par_edges) ans.pb(x);
}
}
}
else{
par[v] = {u,id};
dfs1(v);
}
}
recstack[u] = 0;
}
bool line = true;
vector<bool> good(N);
void dfs2(int u, int p){
vis[u] = 1;
int d = sz(adj[u])-(p != -1);
if(d >= 2){
good[u] = 1;
line = false;
}
for(auto [v,id] : adj[u]){
if(v == p or vis[v]) conts;
par[v] = {u,id};
dfs2(v,u);
}
}
std::variant<bool, std::vector<int>> find_journey(
int n, int m, std::vector<int> U, std::vector<int> V) {
rep(i,m){
int u = U[i], v = V[i];
adj[u].pb({v,i});
}
if(n == 2){
if(!(sz(adj[0]) >= 2 and sz(adj[1]) >= 1)){
return false;
}
int x = adj[0][0].ss, y = adj[0][1].ss, z = adj[1][0].ss;
vector<int> ans = {x,z,y,x,z,y};
return ans;
}
bool subtask4 = true, subtask3 = true;
rep(i,m){
if(!(m&1)){
if(U[i] == U[i^1] and V[i] == V[i^1]){
}
else{
subtask4 = false;
}
swap(U[i],V[i]);
if(U[i] == U[i^1] and V[i] == V[i^1]){
}
else{
subtask3 = false;
}
swap(U[i],V[i]);
}
}
if(subtask4){
dfs1(0);
if(cyc) return ans;
else return false;
}
if(subtask3){
dfs2(0,-1);
if(line){
return false;
}
rep(i,n){
if(!good[i]) conts;
bool ok = true;
int u = i;
vector<int> edges;
while(true){
auto [p,pid] = par[u];
if(p == -1) break;
edges.pb(pid);
u = p;
if(good[u]){
ok = false;
break;
}
}
if(!ok) conts;
vector<int> seq;
vector<int> v1;
for(auto [v,id] : adj[i]){
if(count(all(edges),id^1)) conts;
v1.pb(id);
}
assert(sz(v1) >= 2);
while(sz(v1) > 2) v1.pop_back();
int x = v1[0], y = v1[1];
seq = {x,x^1,y,y^1,x^1,x,y^1,y};
ans = edges;
reverse(all(ans));
trav(x,seq) ans.pb(x);
trav(x,edges) ans.pb(x);
return ans;
}
assert(0);
}
vector<pii> edges = {
{0,1},
{1,0},
{0,2},
{2,0},
{1,0},
{0,1},
{2,0},
{0,2}
};
vector<int> ans;
for(auto [u,v] : edges){
for(auto [vv,idd] : adj[u]){
if(vv == v){
ans.pb(idd);
break;
}
}
}
return ans;
}
