#pragma GCC optimize("O3", "fast-math", "unroll-loops", "no-stack-protector")
#include <bits/stdc++.h>
using namespace std;
#if !defined(ONLINE_JUDGE) and !defined(EVAL)
#include "template/debug.h"
#else
#define d(x...)
#endif
#define fr first
#define er erase
#define in insert
#define sc second
#define ll long long
#define pb push_back
#define vll vector<ll>
#define pll pair<ll,ll>
#define len(x) (ll) x.size()
#define all(x) x.begin(),x.end()
const ll INF = 1e9, INFL = 1e18;
const ll MOD = 1e9 + 7;
// const ll MOD = 998244353;
const ll maxn = 1e5 + 5;
ll n, m, k = 0;
mt19937 rng(clock());
vll g[maxn];
ll sz[maxn];
bitset<maxn>vis;
void dfs(ll u, ll par = -1){
vis[u] = 1;
sz[u] ++;
for(auto v : g[u]){
if(vis[v]) continue;
dfs(v);
sz[u] += sz[v];
}
}
void fill(ll u, vll &ve, ll &le){
vis[u] = 1;
ve.pb(u);
if(len(ve) == le) return;
for(auto v : g[u]){
if(!vis[v]){
fill(v, ve, le);
if(len(ve) == le) return;
}
}
}
pair<vll, vll> f(ll x, ll y){
if(x > y) swap(x, y);
// 22 balliq subtask: tree-di
// bir noqteden dfs atib baxa bilerem ki, subtreelerin arasinda ele v subtreesi varmi ki, sz[v] >= x ve n - sz[v] >= y
set<ll>s;
for(ll __ = 0; __ <= 1000; __ ++){
ll r = rng() % n;
if(s.find(r) != s.end()) continue;
s.in(r);
for(ll i = 0; i < n; i ++) vis[i] = sz[i] = 0;
vll a, b;
dfs(r);
vis.reset();
for(auto ch : g[r]){
if(sz[ch] >= x and n - sz[ch] >= y){
vis[r] = 1;
fill(ch, a, x);
vis[r] = 0;
for(auto och : g[r]){
if(ch == och) continue;
fill(och, b, y);
}
return {a, b};
}
if(sz[ch] >= y and n - sz[ch] >= x){
vis[r] = 1;
fill(ch, b, y);
vis[r] = 0;
for(auto och : g[r]){
if(ch == och) continue;
fill(och, a, x);
}
return {a, b};
}
}
}
return {{}, {}};
}
vector<int> find_split(int _n, int _a, int _b, int _c, vector<int> p, vector<int> q){
n = _n;
for(ll i = 0; i < n; i ++) g[i].clear();
for(ll i = 0; i < len(p); i ++){
g[p[i]].pb(q[i]);
g[q[i]].pb(p[i]);
}
vector<int>cv(n);
if(_a <= _c and _b <= _c){
auto [av, bv] = f(_a, _b);
if(_a > _b) swap(av, bv);
if(len(av) != _a) return cv;
for(ll i = 0; i < n; i ++) cv[i] = 3;
for(auto i : av) cv[i] = 1;
for(auto i : bv) cv[i] = 2;
return cv;
}
if(_a <= _b and _c <= _b){
auto [av, _cv] = f(_a, _c);
if(_a > _c) swap(av, _cv);
if(len(av) != _a) return cv;
for(ll i = 0; i < n; i ++) cv[i] = 2;
for(auto i : av) cv[i] = 1;
for(auto i : _cv) cv[i] = 3;
return cv;
}
if(_b <= _a and _c <= _a){
auto [bv, _cv] = f(_b, _c);
if(_b > _c) swap(bv, _cv);
if(len(bv) != _b) return cv;
for(ll i = 0; i < n; i ++) cv[i] = 1;
for(auto i : bv) cv[i] = 2;
for(auto i : _cv) cv[i] = 3;
return cv;
}
return cv;
}
// void _() {
// }
// signed main() {
// ll tm = clock();
// cin.tie(0)->sync_with_stdio(0);
// ll t = 1;
// // cin >> t;
// for(ll tt = 1; tt <= t; tt ++) _();
// cerr << "\n\033[1;31mTime: \033[1;30m" \
// << (double)(clock()-tm)/1000000 << "\033[1;32m seconds\n";
// }
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