#include <bits/stdc++.h>
using namespace std;
#define dbgv(v) cout<<#v<<" = "; f(i,0,int(v.size())) cout<<v[i]<<" "; cout<<endl
#define dbga(a,x,y) cout<<#a<<" = "; f(i,x,y) cout<<a[i]<<" "; cout<<endl
#define erorp(x) cout<<#x<<"={"<<x.F<<" , "<<x.S<<"}"<<endl
#define eror(x) cout<<#x<<'='<<(x)<<endl
#define f_(i,a,b) for(int i=a;i>=b;i--)
#define f(i,a,b) for(int i=a;i<b;i++)
#define nb(x) __builtin_popcount(x)
#define all(v) v.begin(),v.end()
#define bit(n,k) (((n)>>(k))&1)
#define Add(x,y) x=(x+y)%mod
#define maxm(a,b) a=max(a,b)
#define minm(a,b) a=min(a,b)
#define lst(x) x[x.size()-1]
#define sz(x) int(x.size())
#define mp make_pair
#define ll long long
#define pb push_back
#define S second
#define F first
const int N=2e5+99;
int n,m,a,b,cnt,found,cent=-1,A[N],B[N],sz[N],f[N],mark[N];
vector<int> ans,g[N],T[N];
vector<pair<int,int>> vec;
int getpar(int u){
if(f[u]<0) return u;
return f[u]=getpar(f[u]);
}
void dfs3(int u,int id){
if(cnt>0){
cnt--;
ans[u]=id;
}
mark[u]=2;
for(auto v : g[u]){
if(mark[v]==1){
dfs3(v,id);
}
}
}
void solve(vector<int> v,int _cnt,int id){
cnt=_cnt;
f(i,0,n) mark[i]=0;
for(auto x : v) mark[x]=1;
dfs3(v[0],id);
}
void do_it(int x){
found=1;
vector<int> A,B;
f(i,0,n){
if(getpar(i)==x){
A.pb(i);
}
else{
B.pb(i);
}
}
//dbgv(A);
//dbgv(B);
//eror(vec[0].S);
//eror(vec[1].S);
solve(A,vec[0].F,vec[0].S);
solve(B,vec[1].F,vec[1].S);
}
void check(int u){
u=getpar(u);
if(f[u]<=(-a) && found==0){
do_it(u);
}
}
void merge(int u,int v){
u=getpar(u),v=getpar(v);
if(u==v) return ;
if(f[u]>f[v]) swap(u,v);
f[u]+=f[v];
f[v]=u;
}
void dfs1(int u){
sz[u]=1;
for(auto v : g[u]){
if(sz[v]) continue ;
T[u].pb(v);
T[v].pb(u);
dfs1(v);
sz[u]+=sz[v];
}
if(sz[u]>=(n+1)/2 && cent==-1){
cent=u;
}
}
void dfs2(int u,int p){
for(auto v : T[u]){
if(v==p) continue ;
merge(u,v);
dfs2(v,u);
}
}
vector<int> find_split(int _n, int _a, int _b, int _c, vector<int> p, vector<int> q){
fill(f,f+N,-1);
n=_n,m=p.size();
ans.resize(n);
vec.pb(mp(_a,1));
vec.pb(mp(_b,2));
vec.pb(mp(_c,3));
sort(all(vec));
a=vec[0].F,b=vec[1].F;
f(i,0,m) g[p[i]].pb(q[i]),g[q[i]].pb(p[i]);
dfs1(0);
for(auto adj : T[cent]){
dfs2(adj,cent);
check(adj);
}
f(i,0,m){
if(p[i]==cent || q[i]==cent) continue ;
merge(p[i],q[i]);
check(p[i]);
}
if(found==1){
f(i,0,n) if(ans[i]==0) ans[i]=vec[2].S;
}
return ans;
}
/*
9 10
3 3 3
0 1
0 2
0 3
0 4
0 6
0 8
1 7
3 7
4 5
5 6
*/
