#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 = 2e5 + 5;
ll n, m, k = 0;
vll g[maxn];
#include "split.h"
ll vis[maxn];
pair<vll, vll>f(ll a, ll b){
if(a > b) swap(a, b);
// 7 balliq subtask : cycle
ll u = 0;
vll eu;
while(!vis[u]){
vis[u] = 1;
eu.pb(u);
for(auto v : g[u]){
if(!vis[v]){
u = v;
break;
}
}
}
u = 0;
for(auto v : g[u]){
if(!vis[v]){
u = v;
break;
}
}
reverse(all(eu));
while(!vis[u]){
vis[u] = 1;
eu.pb(u);
for(auto v : g[u]){
if(!vis[v]){
u = v;
break;
}
}
}
vll ax, bx;
while(len(ax) != a) ax.pb(eu.back()), eu.pop_back();
while(len(bx) != b) bx.pb(eu.back()), eu.pop_back();
return {ax, bx};
}
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 < 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 [ax, bx] = f(_a, _b);
if(_a > _b) swap(ax, bx);
if(len(ax) != _a) return cv;
cv.assign(n, 3);
for(auto i : ax) cv[i] = 1;
for(auto i : bx) cv[i] = 2;
}
else if(_a <= _b and _c <= _b){
auto [ax, cx] = f(_a, _c);
if(_a > _c) swap(ax, cx);
if(len(ax) != _a) return cv;
cv.assign(n, 2);
for(auto i : ax) cv[i] = 1;
for(auto i : cx) cv[i] = 3;
}
else{
auto [bx, cx] = f(_b, _c);
if(_b > _c) swap(bx, cx);
if(len(bx) != _b) return cv;
cv.assign(n, 1);
for(auto i : bx) cv[i] = 2;
for(auto i : cx) cv[i] = 3;
}
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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