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 <iostream>
#include <bits/stdc++.h>
using namespace std;
vector<vector<int>> adj;
int s1,s2,c1,c2,c3,n;
bool done=false;
vector<int> res;
int sub[100002];
int sz[5];
void calc(int u, int p){
for(auto v:adj[u]){
if(v==p) continue;
calc(v,u);
sub[u] += sub[v];
}
sub[u]++;
}
void color(int u, int p, int c, int size){
if(size==sz[c]) return;
queue<pair<int,int> > q;
q.push({u,p});
while(!q.empty() && size>sz[c]){
int v=q.front().first;
int par = q.front().second;
q.pop();
res[v] = c;
sz[c]++;
for(auto vv:adj[v]){
if(vv == par) continue;
q.push({vv,v});
}
}
}
void solve(int u, int p){
if(done) return;
int maxi=0,idx=-1;
for(auto v:adj[u]){
if(sub[v]>=s1 && n-sub[v]>=s2){
color(v,u,c1,s1);
color(u,v,c2,s2);
for(int i=0;i<n;i++) if(res[i]==0) res[i]=c3;
done=true;
return;
}
if(sub[v]>=s2 && n-sub[v]>=s1){
sub[v] = c2;
sz[c2]++;
color(v,u,c2,s2);
color(u,v,c1,s1);
for(int i=0;i<n;i++) if(res[i]==0) res[i]=c3;
done=true;
return;
}
if(v==p) continue;
if (sub[v]>maxi){
maxi = sub[v];
idx = v;
}
}
if(idx!=-1){
sub[u] = n-sub[idx];
solve(idx,u);
}
}
vector<int> find_split(int N, int a, int b, int c, vector<int> p, vector<int> q) {
n=N;
adj.resize(n+2,vector<int>());
for(int i=0; i<(int)p.size();i++){
adj[q[i]].push_back(p[i]);
adj[p[i]].push_back(q[i]);
}
res.resize(n);
for(int i=0;i<n;i++) res[i]=0;
vector<pair<int,int> > s;
s.push_back({a,1});
s.push_back({b,2});
s.push_back({c,3});
sort(s.begin(),s.end());
s1 = s[0].first;
s2 = s[1].first;
c1 = s[0].second;
c2 = s[1].second;
c3 = s[2].second;
calc(0,-1);
solve(0,-1);
return res;
}
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