#include <vector>
#include <set>
#include <algorithm>
using namespace std;
const int N=2e5+1;
vector<int> ma[N];
int color[N],in[N],sz[N];
bool vis[N];
set<int> one,two;
int n;
void dfs_sz(int x,int p=-1)
{
vis[x]=1;
sz[x]=1;
for(auto y:ma[x])
{
if(!vis[y])
{
dfs_sz(y,x);
sz[x]+=sz[y];
}
}
}
bool asd=0;
void take(int x,int cnt,bool sp)
{
vis[x]=1;
if(sp)
{
if(two.size()<cnt)
{
two.insert(x);
}
}
else
{
if(one.size()<cnt)
{
one.insert(x);
}
}
for(auto y:ma[x])
{
if(!vis[y])
{
take(y,cnt,sp);
}
}
}
void find_edge(int x,int a,int b,int p=-1)
{
vis[x]=1;
if(asd)
return;
for(auto y:ma[x])
{
if(!vis[y])
{
if(asd)
{
return;
}
if(sz[y]>=b and (n-sz[y])>=a)
{
one.clear();
two.clear();
for(int i=1;i<=n;i++)
vis[i]=0;
vis[x]=1;
take(y,b,1);
for(int i=1;i<=n;i++)
vis[i]=0;
vis[y]=1;
take(x,a,0);
asd=1;
return;
}
if(sz[y]>=a and (n-sz[y])>=b)
{
one.clear();
two.clear();
for(int i=1;i<=n;i++)
vis[i]=0;
vis[x]=1;
take(y,a,0);
for(int i=1;i<=n;i++)
vis[i]=0;
vis[y]=1;
take(x,b,1);
asd=1;
return;
}
sz[x]-=sz[y];
sz[y]+=sz[x];
find_edge(y,a,b,x);
sz[y]-=sz[x];
sz[x]+=sz[y];
}
}
}
void dfs(int x,int a,int b)
{
if(one.size()<a)
{
one.insert(x);
}
else if(two.size()<b)
{
two.insert(x);
}
vis[x]=1;
for(auto y:ma[x])
{
if(!vis[y])
{
dfs(y,a,b);
}
}
}
vector<int> find_split(int n1, int a, int b, int c, vector<int> p, vector<int> q)
{
n=n1;
// Swap a,b,c to make a<=b<=c hold and assign new color to each
vector<pair<int,int>> aps;
aps.push_back({a,1});
aps.push_back({b,2});
aps.push_back({c,3});
sort(begin(aps),end(aps));
int colora,colorb,colorc;
a=aps[0].first;
colora=aps[0].second;
b=aps[1].first;
colorb=aps[1].second;
c=aps[2].first;
colorc=aps[2].second;
// Sorting done
// Adding Edges
int m=p.size();
int mx=0;
for(int j=0;j<m;j++)
{
p[j]++;
q[j]++;
ma[p[j]].push_back(q[j]);
ma[q[j]].push_back(p[j]);
in[p[j]]++;
in[q[j]]++;
mx=max(mx,in[p[j]]);
mx=max(mx,in[q[j]]);
}
// Edges added
// if(m==(n-1))
// {
// Simple as eating ice cream
// Find an edge such that if remove it then the two component have size1,size2
// size1>=size2
// size1>=a and size2>=b
// then we can make answer
dfs_sz(1);
for(int i=1;i<=n;i++)
{
vis[i]=0;
}
find_edge(1,a,b);
for(int i=1;i<=n;i++)
{
color[i]=colorc;
}
for(auto i:one)
{
color[i]=colora;
}
for(auto i:two)
{
color[i]=colorb;
}
vector<int> ans;
for(int i=1;i<=n;i++)
{
if(!asd)
{
ans.push_back(0);
}
else
ans.push_back(color[i]);
}
return ans;
// }
if(a==1 or mx<=2)
{
bool pos=1;
for(int j=1;j<=n;j++)
{
if(ma[j].size()==1)
{
dfs(j,a,b);
pos=0;
break;
}
}
if(pos)
{
dfs(1,a,b);
}
for(int i=1;i<=n;i++)
{
color[i]=colorc;
}
for(auto i:two)
{
color[i]=colorb;
}
for(auto i:one)
{
color[i]=colora;
}
vector<int> ans;
for(int i=1;i<=n;i++)
{
ans.push_back(color[i]);
}
return ans;
}
// exit(-1);
return {};
}
