#pragma GCC optimize("unroll-loops,Ofast,O3")
#include <bits/stdc++.h>
#define pb push_back
#define mp make_pair
#define spc << " " <<
#define endl "\n"
#define all(x) x.begin(), x.end()
//#define int long long
#define ii pair<long long,int>
#define vi vector<int>
#define vii vector<ii>
#define st first
#define nd second
#define mid (l+r)/2
#define inf 1e15
#define MOD 1000000007
#define MX 100005
using namespace std;
int tim, baddy, cur;
vii edges[MX], colors(3);
int vis[MX], sub[MX], in[MX], low[MX], good[MX];
vi ans, ansfr, colored(3);
void tree(int node, int par){
vis[node]=sub[node]=1;
tim++;
in[node]=low[node]=tim;
//cerr << "got into" spc node spc in[node] << endl;
for(auto &i:edges[node]){
if(vis[i.st]){
if(i.st!=par){
//cerr << "back edge" spc node spc i.st << endl;
low[node] = min(low[node], in[i.st]);
}
else{
i.nd = 1;
}
continue;
}
i.nd = 1;
tree(i.st, node);
sub[node] += sub[i.st];
low[node] = min(low[node], low[i.st]);
}
//cerr << "getting out of" spc node spc low[node] << endl;
}
void paint_below(int node, int color){
if(ans[node]!=-1) return;
ans[node]=color;
colored[color]++;
for(auto i:edges[node]){
if(i.nd==0 || in[i.st]<in[node] || ans[i.st]!=-1) continue;
paint_below(i.st, color);
}
}
void second_paint(int node, int color){
if(colored[color]>=colors[color].st || ansfr[node]!=-1) return;
ansfr[node]=color;
colored[color]++;
for(auto i:edges[node]) if(ans[i.st]==color) second_paint(i.st, color);
}
void finalzz(int node){
if(cur >= colors[0].st) return;
if(good[node]==1 && low[node]<in[baddy]){
cur+=sub[node];
paint_below(node, 0);
return;
}
for(auto i:edges[node]){
if(i.nd==0 || in[i.st]<in[node]) continue;
finalzz(i.st);
}
}
vi find_split(int n, int a, int b, int c, vi p, vi q){
colors = {{a,1}, {b,2}, {c,3}};
sort(all(colors));
colored = {0,0,0};
ans.resize(n,-1);
ansfr.resize(n,-1);
for(int i=0; i<n; i++){
edges[i].clear();
vis[i]=sub[i]=0;
good[i]=-1;
}
for(int i=0; i<p.size(); i++){
edges[p[i]].pb({q[i],0});
edges[q[i]].pb({p[i],0});
}
tim=0;
tree(0, 0);
/*for(int i=0; i<n; i++){
//cerr << i spc sub[i] spc in[i] spc low[i] << endl;
}*/
for(int i=1; i<n; i++){
if(sub[i]>=colors[0].st && sub[i]<=colors[0].st+colors[2].st){
//cerr << "subtree fitting a" spc i << endl;
paint_below(i, 0);
paint_below(0, 1);
colored={0,0,0};
for(int i=0; i<n; i++){
if(ans[i]==0){
second_paint(i, 0);
break;
}
}
for(int i=0; i<n; i++){
if(ans[i]==1){
second_paint(i, 1);
break;
}
}
for(int j=0; j<n; j++) if(ansfr[j]==-1) ansfr[j]=2;
for(int k=0; k<n; k++) ansfr[k] = colors[ansfr[k]].nd;
return ansfr;
}
else if(sub[i]>=colors[1].st && sub[i]<=colors[1].st+colors[2].st){
//cerr << "subtree fitting b" spc i << endl;
paint_below(i, 1);
paint_below(0, 0);
colored={0,0,0};
for(int i=0; i<n; i++){
if(ans[i]==0){
second_paint(i, 0);
break;
}
}
for(int i=0; i<n; i++){
if(ans[i]==1){
second_paint(i, 1);
break;
}
}
for(int j=0; j<n; j++) if(ansfr[j]==-1) ansfr[j]=2;
for(int k=0; k<n; k++) ansfr[k] = colors[ansfr[k]].nd;
return ansfr;
}
else if(sub[i]<colors[0].st) good[i]=1;
else if(sub[i]>colors[1].st+colors[2].st) good[i]=0;
else assert(false);
}
baddy=0;
for(int i=1; i<n; i++) if(good[i]==0 && in[i]>in[baddy]) baddy=i; //are we the baddies???
int cur = n-sub[baddy];
assert(cur < colors[0].st);
finalzz(baddy);
paint_below(baddy, 1);
paint_below(0, 0);
if(colored[0]<colors[0].st || colored[1]<colors[1].st){
fill(ans.begin(), ans.end(), 0);
return ans;
}
colored={0,0,0};
for(int i=0; i<n; i++){
if(ans[i]==0){
second_paint(i, 0);
break;
}
}
for(int i=0; i<n; i++){
if(ans[i]==1){
second_paint(i, 1);
break;
}
}
for(int j=0; j<n; j++) if(ansfr[j]==-1) ansfr[j]=2;
for(int k=0; k<n; k++) ansfr[k] = colors[ansfr[k]].nd;
return ansfr;
}
