#include "split.h"
#include<bits/stdc++.h>
using namespace std;
using ll = long long;
const int N = 1e5 + 5;
vector<int> adj[N];
int n, m;
int R = -1, R2 = 0, t = 0; pair<int, int> x[3];
int low[N], in[N], siz[N];
vector<int> tri[N];
void build(int u, int p = -1) {
in[u] = low[u] = ++t;
int flag = 1; siz[u] = 1;
for (int v : adj[u])
if (in[v]) low[u] = min(low[u], in[v]);
else tri[u].emplace_back(v), build(v, u),
low[u] = min(low[u], low[v]), siz[u] += siz[v], flag &= siz[v] < x[0].first;
flag &= siz[u] >= x[0].first;
if (flag) R = u;
}
int res[N], ans[N];
void dfs(int u, int c) {
ans[u] = c;
for (int v : tri[u])
dfs(v, c);
}
int fixx(int u) {
res[u] = x[0].second; x[0].first--;
if (x[0].first == 0) return 1;
for (int v : tri[u]) if (ans[v] == x[0].second) {
if (fixx(v)) return 1;
}
return 0;
}
void fixy(int u) {
queue<int> q;
q.emplace(u); vector<int> vis(n);
while (!q.empty()) {
int u = q.front(); q.pop();
vis[u] = 1, x[1].first--; res[u] = x[1].second;
if (x[1].first == 0) break;
for (int v : adj[u]) if (!vis[v] && ans[v] == x[2].second)
vis[v] = 1, q.emplace(v);
}
}
vector<int> print() {
for (int v = 0; v < n; ++v) res[v] = x[2].second;
fixx(R); fixy(R2);
vector<int> result(n);
for (int i = 0; i < n; ++i)
result[i] = res[i];
return result;
}
vector<int> impossible() {
vector<int> result(n);
for (int i = 0; i < n; ++i)
result[i] = 0;
return result;
}
vector<int> find_split(int _n, int a, int b, int c, vector<int> p, vector<int> q) {
n = _n, m = p.size();
x[0] = {a, 1}, x[1] = {b, 2}, x[2] = {c, 3};
sort(x, x + 3);
for (int i = 0, u, v; i < m; ++i)
u = p[i], v = q[i],
adj[u].emplace_back(v),
adj[v].emplace_back(u);
build(0);
if (R == -1) return impossible();
dfs(0, x[2].second);
dfs(R, x[0].second);
int P1 = siz[R], P2 = n - P1;
if (P2 < P1) {
swap(R, R2); swap(P1, P2);
for (int v = 0; v < n; ++v)
if (ans[v] == x[0].second) ans[v] = x[2].second;
else ans[v] = x[0].second;
}
if (P2 < x[0].first) {
for (int v : tri[R]) if (low[v] < in[R]) {
dfs(v, x[2].second); P1 -= siz[v], P2 += siz[v];
if (P2 >= x[0].first) break;
}
}
vector<int> result = print();
if (x[0].first || x[1].first)
return impossible();
return result;
}
