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<vector>
#include<algorithm>
#include<cassert>
using namespace std;
using ll = long long;
using pii = pair<int, int>;
#define forn(i, n) for(int i=0; i<(int)n; ++i)
#define dforn(i, n) for(int i=n-1; i>=0; --i)
#define PB push_back
#define F first
#define S second
const int MAXN = 100010;
int n, top, sito, A, B, C, tm, tin[MAXN], low[MAXN], si[MAXN];
bool vis[MAXN], done;
vector<int> g[MAXN], tr[MAXN], ch;
int target, obt=1, roo2;
int ta2, ob2;
vector<int> res[3];
bool marked[MAXN], used[MAXN];
void dfs1(int v, int p){
si[v]=1;
vis[v]=true;
tin[v]=tm++;
int forced=1;
bool atm=true;
vector<int> fset, rest;
for(int to:g[v]){
if(to==p) continue;
if(vis[to]){
low[v]=min(low[v], tin[to]);
}
else{
tr[v].PB(to);
dfs1(to, v);
si[v]+=si[to];
atm&=(si[to]<A);
low[v]=min(low[v], low[to]);
if(low[to]>=tin[v]){
forced+=si[to];
fset.PB(to);
}
else rest.PB(to);
}
}
if(atm && (si[v]>=A) && !done){
done = true;
roo2=p;
if(forced>n-A) top=-1;
else{
top=v;
sito=forced;
for(int el:fset) ch.PB(el);
while(sito<A){
ch.PB(rest.back());
sito+=si[rest.back()];
rest.pop_back();
}
}
}
}
void dfs2(int v){
if(obt<target){
used[v]=marked[v]=true;
res[0].PB(v);
++obt;
}
for(int to:tr[v]) dfs2(to);
}
void dfs3(int v){
vis[v]=true;
if(ob2<ta2){
++ob2;
used[v]=true;
res[1].PB(v);
}
for(int to:g[v]) if(!vis[to] && !marked[to]) dfs3(to);
}
vector<int> find_split(int N, int a, int b, int c, vector<int> p, vector<int> q) {
n=N;
vector<pii> col = {{a, 0}, {b, 1}, {c, 2}};
sort(col.begin(), col.end());
A = col[0].F, B = col[1].F, C = col[2].F;
forn(i, p.size()){
g[p[i]].PB(q[i]);
g[q[i]].PB(p[i]);
}
dfs1(0, 0);
if(top==-1){
vector<int> ret(n, 0);
return ret;
}
if(sito>=B) target=B, ta2=A;
else target=A, ta2=B;
for(int el:ch) dfs2(el);
marked[top]=used[top]=true;
res[0].PB(top);
forn(i, n) vis[i]=false;
dfs3(roo2);
if((int)res[0].size()==B) swap(res[0], res[1]);
forn(i, n) if(!used[i]) res[2].PB(i);
vector<int> ret(n);
forn(i, 3) for(int el:res[i]) ret[el]=col[i].S + 1;
int car[3];
car[0]=car[1]=car[2]=0;
for(int el:ret) car[el-1]++;
assert(car[0]==a && car[1]==b && car[2]==c);
return ret;
}
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