#include <bits/stdc++.h>
#include "split.h"
using namespace std;
const int N = 2e5 + 10;
int in[N], out[N], sub[N];
int timer, countA, countB, countC, aa = 1, bb = 2, cc = 3;
#define vi vector < int >
int dfs(int x, int p, vector < vi > &edges) {
in[x] = ++timer;
sub[x] = 1;
for(int to : edges[x]) {
if(to != p) {
sub[x] += dfs(to, x, edges);
}
}
out[x] = ++timer;
return sub[x];
}
int find_good(int x, int p, vector < vi > &edges) {
int n = edges.size();
for(int to : edges[x]) {
if(to != p && sub[to] >= countA && sub[to] <= countA + countC) {
return x;
}
if(to == p && n - sub[x] >= countA && n - sub[x] <= countA + countC) {
return x;
}
}
for(int to : edges[x]) {
if(to != p && sub[to] > countA + countC) {
return find_good(to, x, edges);
}
}
return -1;
}
void find_children(int x, int p, int v, vi &ans, vector < vi > &edges) {
if(in[x] >= in[v] && out[v] >= out[x]) {
if(countA > 0) {
ans[x] = aa;
--countA;
}
} else {
if(countB > 0) {
ans[x] = bb;
--countB;
}
}
for(int to : edges[x]) {
if(to != p) {
find_children(to, x, v, ans, edges);
}
}
}
void dfs_graph(int x, vector < vi > &edges, vi &vis, vi &ans) {
if(vis[x]) return;
vis[x] = 1;
if(countB > 0) {
ans[x] = 2;
--countB;
}
for(int to : edges[x]) dfs_graph(to, edges, vis, ans);
}
vi find_split(int n, int a, int b, int c, vi p, vi q) {
vector < vi > edges(n, vi(0, 0));
vi ans(n), vis(n);
countA = a, countB = b, countC = c;
for(int i = 0; i < q.size(); ++i) {
edges[p[i]].push_back(q[i]);
edges[q[i]].push_back(p[i]);
}
if(a == 1) {
dfs_graph(0, edges, vis, ans);
for(int i = 0; i < n; ++i) {
if(ans[i] == 0) {
ans[i] = 1;
break;
}
}
for(int i = 0; i < n; ++i) {
if(ans[i] == 0) ans[i] = 3;
}
return ans;
}
if(p.size() != n - 1) return ans;
if(a > b) swap(a, b), swap(aa, bb);
if(b > c) swap(b, c), swap(bb, cc);
if(a > b) swap(a, b), swap(aa, bb);
timer = 0; dfs(0, -1, edges);
int good = find_good(0, -1, edges); if(good == -1) return ans;
timer = 0; dfs(good, -1, edges);
int subTree;
for(int i = 0; i < n; ++i) {
if(sub[i] >= a && sub[i] <= a + c) {
subTree = i;
}
}
find_children(good, -1, subTree, ans, edges);
for(int i = 0; i < n; ++i) {
if(ans[i] == 0) {
ans[i] = cc;
}
}
return ans;
}
