#include <bits/stdc++.h>
#include "split.h"
using namespace std;
const int N = 100005;
int n;
pair <int, int> a, b, c;
vector <int> C, adj[N], E[N];
int sz[N], check[N];
int times, low[N], num[N];
void dfs(int u, int p)
{
num[u] = low[u] = ++times;
sz[u] = 1;
check[u] = 1;
for (auto v: adj[u])
{
if (v == p) continue;
if (!num[v])
{
E[u].push_back(v);
dfs(v, u);
sz[u] += sz[v];
low[u] = min(low[u], low[v]);
if (sz[v] >= a.first) check[u] = 0;
}
else low[u] = min(low[u], num[v]);
}
}
void paint(int u, int num, int cl)
{
queue <int> q;
q.push(u);
int cnt = 0;
if (!C[u])
{
C[u] = cl;
cnt = 1;
}
if (cnt == num) return;
while (!q.empty())
{
int u = q.front();
q.pop();
for (auto v: E[u])
if (!C[v])
{
++cnt;
C[v] = cl;
q.push(v);
if (num == cnt) return;
}
}
}
vector <int> find_split(int _n, int _a, int _b, int _c, vector <int> u, vector <int> v)
{
n = _n;
a = {_a, 1}, b = {_b, 2}, c = {_c, 3};
if (a > b) swap(a, b);
if (a > c) swap(a, c);
if (b > c) swap(b, c);
assert(a <= b && b <= c);
int m = (int)v.size();
C = vector <int> (n, 0);
for (int i = 0; i < m; i ++)
{
adj[v[i]].push_back(u[i]);
adj[u[i]].push_back(v[i]);
}
dfs(0, 0);
for (int u = 0; u < n; ++u)
{
if (check[u] && sz[u] >= a.first && n - sz[u] >= a.first)
{
if (sz[u] <= n - sz[u])
{
paint(u, a.first, a.second);
paint(0, b.first, b.second);
}
else
{
paint(u, b.first, b.second);
paint(0, a.first, a.second);
}
for (int i = 0; i < n; ++i)
if (!C[i]) C[i] = c.second;
return C;
}
if (check[u] && n - sz[u] < a.first)
{
int cnt = 0;
for (auto v: E[u])
if (low[v] < num[u]) cnt += sz[v];
if (cnt + n - sz[u] < a.first) continue;
//ok
C[u] = b.second;
paint(0, a.first, a.second);
cnt = n - sz[u];
queue <int> q;
for (auto v: E[u])
if (low[v] < num[u])
q.push(v);
stack <int> stk;
while (!q.empty())
{
int u = q.front();
q.pop();
stk.push(u);
for (auto v: E[u])
if (!C[v])
q.push(v);
}
while (!stk.empty())
{
int u = stk.top();
C[u] = a.second;
++cnt;
if (cnt == a.first) break;
}
C[u] = 0;
paint(u, b.first, b.second);
for (int i = 0; i < n; ++i)
if (!C[i]) C[i] = c.second;
return C;
}
}
return C;
}
