This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "split.h"
#include <bits/stdc++.h>
using namespace std;
vector<vector<int>> graf;
vector<vector<int>> tree;
vector<int> sz;
vector<int> odw;
void dfs(int x){
odw[x] = true;
sz[x] = 1;
for(auto it:graf[x]){
if(!odw[it]){
tree[x].push_back(it);
tree[it].push_back(x);
dfs(it);
sz[x]+=sz[it];
}
}
}
int centroid(int x){
odw[x] = true;
for(auto it:tree[x]){
if(odw[it]) continue;
if(sz[x]-sz[it]<sz[it]){
int tmp = sz[it];
sz[it] = sz[x];
sz[x] = sz[x]-tmp;
return centroid(it);
}
}
return x;
}
vector<int> kolor;
int curKolor=1;
void dfs2(int x){
kolor[x] = curKolor;
for(auto it:tree[x]){
if(kolor[it]==0){
dfs2(it);
}
}
}
vector<vector<int>> graf2;
vector<int> waga;
void dfs3(int x){
odw[x] = true;
for(auto it:graf[x]){
if(!odw[it]){
if(kolor[it]==kolor[x]){
dfs3(it);
}else{
if(kolor[it]!=-1){
graf[kolor[it]].push_back(kolor[x]);
graf[kolor[x]].push_back(kolor[it]);
}
}
}
}
}
vector<bool> odw2;
int A;
int suma = 0;
void dfs4(int x){
odw2[x] = true;
suma+=waga[x];
if(suma>=A) return;
for(auto it:graf2[x]){
if(!odw2[it]){
dfs4(it);
if(suma>=A) return;
}
}
}
bool curOdw = true;
int suma2 = 0;
int curSuma = 0;
vector<int> wynik;
void dfs5(int x){
//cout<<x<<'\n';
odw[x] = true;
wynik[x] = 2-curOdw;
suma2++;
if(suma2>=curSuma) return;
for(auto it:graf[x]){
if(!odw[it]){
if(curOdw){
if(kolor[it]==-1) continue;
if(odw2[kolor[it]]==curOdw){
dfs5(it);
if(suma2>=curSuma) return;
}
}else{
dfs5(it);
if(suma2>=curSuma) return;
}
}
}
}
vector<int> find_split(int n, int a, int b, int c, vector<int> p, vector<int> q) {
A = min(min(c, b), a);
graf.resize(n);
odw.resize(n);
sz.resize(n);
tree.resize(n);
for(int i = 0; i < (int)p.size(); i++){
graf[p[i]].push_back(q[i]);
graf[q[i]].push_back(p[i]);
}
dfs(0);
odw.resize(0);
odw.resize(n);
int cent = centroid(0);
kolor.resize(n);
kolor[cent] = -1;
waga.resize(n);
graf2.resize(n);
for(auto it:tree[cent]){
waga[curKolor] = sz[it];
dfs2(it);
curKolor++;
}
odw.resize(0);
odw.resize(n);
for(auto it:tree[cent]){
dfs3(it);
}
for(auto it:tree[cent]){
odw2.resize(n);
dfs4(kolor[it]);
if(suma>=A) break;
odw2.resize(0);
suma=0;
}
wynik.resize(n, 0);
if(suma==0){
return wynik;
}
curOdw = true;
curSuma = A;
suma2=0;
odw.resize(0);
odw.resize(n);
for(auto it:tree[cent]){
if(odw2[kolor[it]]==curOdw){
dfs5(it);
break;
}
}
curOdw = false;
curSuma = a+b+c-A-max(a, max(b, c));
//cout<<curSuma<<'\n';
suma2=0;
dfs5(cent);
vector<pair<int, int>> conv;
conv.push_back({a, 1});
conv.push_back({b, 2});
conv.push_back({c, 3});
sort(conv.begin(), conv.end());
for(int i = 0; i < (int)wynik.size(); i++){
if(wynik[i]==0) wynik[i] = conv[2].second;
else if(wynik[i]==1) wynik[i] = conv[0].second;
else if(wynik[i]==2) wynik[i] = conv[1].second;
}
return wynik;
}
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