#include "split.h"
#include <bits/stdc++.h>
using namespace std;
const int nx=2e5+5;
int sz[nx], used[nx], c, h[nx], szc[nx], cnt;
vector<pair<int, int>> d[nx], t;
vector<int> res;
pair<int, int> mx;
int dfssz(int u)
{
sz[u]=1;
for (auto [v, idx]:d[u])
{
if (sz[v]) continue;
used[idx]=1;
sz[u]+=dfssz(v);
}
return sz[u];
}
void dfsfill(int u, int p, int hd)
{
h[u]=hd;
szc[hd]++;
for (auto [v, idx]:d[u]) if (v!=p&&used[idx]) dfsfill(v, u, hd);
}
void fillans(int u, int p, int ans)
{
if (cnt==0) return;
res[u]=ans;
cnt--;
for (auto [v, idx]:d[u]) if (used[v]&&v!=p&&v!=c) fillans(v, u, ans);
}
int findcentroid(int u, int p, int rtsz)
{
for (auto [v, idx]:d[u]) if (used[idx]&&v!=p&&2*sz[v]>rtsz) return findcentroid(v, u, rtsz);
return u;
}
vector<int> find_split(int n, int a, int b, int c, vector<int> p, vector<int> q) {
res.resize(n);
t.push_back({a, 1});
t.push_back({b, 2});
t.push_back({c, 3});
sort(t.begin(), t.end());
for (int i=0; i<p.size(); i++) d[p[i]].push_back({q[i], i}), d[q[i]].push_back({p[i], i});
dfssz(1);
c=findcentroid(1, 1, n);
for (auto [v, idx]:d[c])
{
if (!used[idx]) continue;
dfsfill(v, c, v);
mx=max(mx, {szc[v], v});
}
if (mx.first>=t[0].first)
{
cnt=t[0].first;
fillans(mx.second, c, t[0].second);
cnt=t[1].first;
fillans(c, c, t[1].second);
for (int i=0; i<n;i ++) if (!res[i]) res[i]=t[2].second;
return res;
}
return res;
}
