#include "split.h"
#include <bits/stdc++.h>
#define task "SPLIT"
#define all(v) (v).begin(), (v).end()
#define rep(i, l, r) for (int i = (l); i <= (r); ++i)
#define Rep(i, r, l) for (int i = (r); i >= (l); --i)
#define DB(X) { cerr << #X << " = " << (X) << '\n'; }
#define DB1(A, _) { cerr << #A << "[" << _ << "] = " << (A[_]) << '\n'; }
#define DB2(A, _, __) { cerr << #A << "[" << _ << "][" << __ << "] = " << (A[_][__]) << '\n'; }
#define DB3(A, _, __, ___) { cerr << #A << "[" << _ << "][" << __ << "][" << ___ << "] = " << (A[_][__][___]) << '\n'; }
#define PR(A, l, r) { cerr << '\n'; rep(_, l, r) DB1(A, _); cerr << '\n';}
#define SZ(x) ((int)(x).size())
#define pb push_back
#define eb emplace_back
#define pf push_front
#define F first
#define S second
#define by(x) [](const auto& a, const auto& b) { return a.x < b.x; } // sort(arr, arr + N, by(a));
#define next ___next
#define prev ___prev
#define y1 ___y1
#define left ___left
#define right ___right
#define y0 ___y0
#define div ___div
#define j0 ___j0
#define jn ___jn
using ll = long long;
using ld = long double;
using ull = unsigned long long;
using namespace std;
typedef pair<int, int> ii;
typedef pair<ii, int> iii;
typedef vector<int> vi;
typedef vector<ii> vii;
typedef vector<ll> vl;
const int N = 2e5 + 3;
//int n, m, a, b, c;
int sz[N], eul[N], st[N], ed[N], neu, dep[N], par[N], id[4];
vi g[N], leaf[4];
ii A[4];
bool vis[N];
int team[N];
void dfs(int u)
{
st[u] = ++neu;
eul[neu] = u;
vis[u] = 1;
sz[u] = 1;
for (int v : g[u]) if (!vis[v])
{
dep[v] = dep[u] + 1;
dfs(v);
sz[u] += sz[v];
}
ed[u] = neu;
}
void getleaves(int u, int teamid)
{
vis[u] = 1;
sz[u] = 1;
for (int v : g[u]) if (!vis[v] && team[v] == teamid)
{
par[v] = u;
getleaves(v, teamid);
sz[u]++;
}
if (sz[u] == 1) leaf[teamid].eb(u);
}
void setteam(int teamid, int lim, int siz)
{
int redun = siz - lim;
rep(i, 1, redun)
{
//if (leaf[teamid].empty()) break;
int cur = leaf[teamid].back();
team[cur] = 3;
leaf[teamid].pop_back();
if (--sz[par[cur]] == 1) leaf[teamid].eb(par[cur]);
}
}
bool canreach(int u, int mxd)
{
rep(i, st[u], ed[u]) for (int v : g[eul[i]]) if (dep[v] < mxd) return 1;
return 0;
}
vi find_split(int n, int a, int b, int c, vi p, vi q)
{
vi ans(n, 0);
//ios_base::sync_with_stdio(false); cin.tie(nullptr);
//cin >> n >> m >> a >> b >> c;
int m = SZ(p);
rep(i, 1, m)
{
//int u, v;
//cin >> u >> v;
//u++, v++;
int u = p[i - 1] + 1, v = q[i - 1] + 1;
g[u].eb(v);
g[v].eb(u);
}
A[0] = {a, 1};
A[1] = {b, 2};
A[2] = {c, 3};
sort(A, A + 3);
a = A[0].F; b = A[1].F;
c = A[2].F;
rep(i, 1, 3) id[i] = A[i - 1].S;
dfs(1);
int u = 0, mxd = -1;
rep(i, 1, n) if (sz[i] >= a && mxd < dep[i])
{
mxd = dep[i];
u = i;
}
if (n - sz[u] >= a)
{
int sz1 = sz[u], sz2 = n - sz[u];
int rA = u, rB = 1;
if (sz[u] >= b)
{
swap(rA, rB);
swap(sz1, sz2);
//swap(id[1], id[2]);
rep(i, st[u], ed[u]) team[eul[i]] = 2; // B-team
rep(i, 1, n) if (team[i] == 0) team[i] = 1; // A-team
}
else
{
rep(i, st[u], ed[u]) team[eul[i]] = 1; // A-team
rep(i, 1, n) if (team[i] == 0) team[i] = 2; // B-team
}
fill(vis, vis + 1 + n, 0);
getleaves(rA, 1);
getleaves(rB, 2);
/*
for (int l : leaf[1]) cout << l << ' ';
cout << '\n';
for (int l : leaf[2]) cout << l << ' ';
cout << '\n';
*/
setteam(1, a, sz1);
setteam(2, b, sz2);
rep(i, 1, n) ans[i - 1] = id[team[i]];
} else
{
if (m == n - 1)
{
rep(i, 0, n - 1) ans[i] = 0;
return ans;
}
int sz1 = sz[u];
int sz2 = n - sz[u];
rep(i, st[u], ed[u]) team[eul[i]] = 1; // A-team
rep(i, 1, n) if (team[i] == 0) team[i] = 2; // B-team
bool ok = 0;
for (int v : g[u]) if (dep[v] > dep[u])
{
if (canreach(v, dep[u]))
{
rep(i, st[v], ed[v]) team[eul[i]] = 2;
sz2 += sz[v];
sz1 -= sz[v];
if (sz2 >= a)
{
ok = 1;
break;
}
}
}
if (!ok)
{
rep(i, 1, n) ans[i - 1] = 0;
return ans;
}
int rA = u, rB = 1;
if (sz1 >= sz2)
{
swap(rA, rB);
swap(sz1, sz2);
//swap(id[1], id[2]);
rep(i, 1, n) if (team[i] == 1) team[i] = 2;
else team[i] = 1;
}
fill(vis, vis + 1 + n, 0);
getleaves(rA, 1);
getleaves(rB, 2);
setteam(1, a, sz1);
setteam(2, b, sz2);
rep(i, 1, n) ans[i - 1] = id[team[i]];
}
return ans;
}
/*
int main()
{
freopen("S.in", "r", stdin);
//freopen("S.out", "w", stdout);
int n, m, a, b, c;
cin >> n >> m >> a >> b >> c;
vi pp(m, 0), qq(m, 0);
rep(i, 0, m - 1) cin >> pp[i] >> qq[i];
vi res = find_split(n, a, b, c, pp, qq);
for (int v : res) cout << v << ' ';
return 0;
}
*/
