#include "split.h"
#include<bits/stdc++.h>
#pragma GCC optimize("O2")
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
#define debug(x) {cerr<<#x<<"="<<x<<"\n";}
#define debug2(x, y) {cerr<<"{"<<#x<<", "<<#y<<"}={"<<x<<", "<<y<<"}\n";}
#define debugp(p) {cerr<<#p<<"={"<<p.first<<", "<<p.second<<"}\n";}
#define debugv(abcd) {cerr<<#abcd<<": ";for (auto dcba:abcd) cerr<<dcba<<", ";cerr<<"\n";}
#define pb push_back
#define SZ(x) ((int)x.size())
#define all(x) x.begin(), x.end()
const int inf=1000001000; // 1e9
const ll INF=10000000010000000; // 1e16
const int mod=1000000007;
const int MAXN=100010;
vector<pair<int, char>> perm;
int n, m, k, a, b, c, u, v, t, x, y, solved;
int mark[MAXN], sz[MAXN], par[MAXN];
int dist[3][MAXN];
int Q[MAXN], QL, QR;
vector<int> G[MAXN];
vector<int> out;
vector<int> topol;
void BFS(int src, int *dist){
fill(dist, dist+MAXN, inf);
QL=QR=0;
dist[Q[QR++]=src]=0;
while (QL<QR){
int v=Q[QL++];
for (int u:G[v]) if (dist[v]+1<dist[u]){
dist[u]=dist[v]+1;
Q[QR++]=u;
}
}
}
void dfs(int node){
mark[node]=1;
topol.pb(node);
for (int v:G[node]) if (!mark[v]) dfs(v);
}
vector<int> find_split(int _n, int _a, int _b, int _c, vector<int> _p, vector<int> _q){
n=_n;
out.resize(n, 0);
a=_a;
b=_b;
c=_c;
for (int i=0; i<SZ(_p); i++){
int u=_p[i], v=_q[i];
G[u].pb(v);
G[v].pb(u);
}
perm.pb({a, 'a'});
perm.pb({b, 'b'});
perm.pb({c, 'c'});
sort(all(perm));
a=perm[0].first;
b=perm[1].first;
c=perm[2].first;
// --------------------------
for (int x=0; x<n; x++){
BFS(x, dist[0]);
int y=x;
for (int i=0; i<n; i++) if (dist[0][i]>dist[0][y]) y=i;
BFS(y, dist[1]);
// debug2(x, y)
vector<int> X, Y, P(n, 0);
iota(all(P), 0);
sort(all(P), [](int i, int j){
return dist[0][i]<dist[0][j];
});
memset(mark, 0, sizeof(mark));
topol.clear();
for (int i=0; i<a; i++){
X.pb(P[i]);
mark[P[i]]=1;
}
dfs(y);
Y=topol;
if (SZ(X)>=a && SZ(Y)>=b){
for (int i=0; i<a; i++) out[X[i]]=1;
for (int i=0; i<b; i++) out[Y[i]]=2;
solved=1;
break ;
}
}
// --------------------------
if (!solved) return out;
// debugv(out)
for (int i=0; i<n; i++){
if (!out[i]) out[i]=3;
if (out[i]==1){
if (perm[0].second=='a') out[i]=1;
if (perm[0].second=='b') out[i]=2;
if (perm[0].second=='c') out[i]=3;
}
else if (out[i]==2){
if (perm[1].second=='a') out[i]=1;
if (perm[1].second=='b') out[i]=2;
if (perm[1].second=='c') out[i]=3;
}
else if (out[i]==3){
if (perm[2].second=='a') out[i]=1;
if (perm[2].second=='b') out[i]=2;
if (perm[2].second=='c') out[i]=3;
}
}
for (int i=0; i<n; i++){
if (out[i]==1) _a--;
if (out[i]==2) _b--;
if (out[i]==3) _c--;
}
assert(!a && !b && !c);
return out;
}
