/*
* @Author: RMQuan
* @Date: 2025-10-22 13:30:19
* @Last Modified by: RMQuan
* @Last Modified time: 2025-10-22 15:50:00
*/
#include <bits/stdc++.h>
bool M1;
#define int long long
#define ll long long
#define INTMAX INT_MAX
#define INTMIN INT_MIN
#define LONGMAX LLONG_MAX
#define LONGMIN LLONG_MIN
#define fi first
#define se second
#define memfull(a,b) memset(a,b,sizeof(a));
#define endl '\n'
#define TASK "TEST"
#define file() if (fopen(TASK".inp","r")){freopen(TASK".inp","r",stdin); freopen(TASK".out","w",stdout);}
using namespace std;
const int MOD=1000000007;
const int maxn=50005;
int n,base=911382323;
string S;
vector<int> adj[maxn];
bool is_deleted[maxn];
int sz[maxn],pw[maxn];
int addm(int x,int y){ x%=MOD; y%=MOD; x+=y; if(x>=MOD) x-=MOD; return x; }
int subm(int x,int y){ x%=MOD; y%=MOD; x-=y; if(x<0) x+=MOD; return x; }
int mulm(int x,int y){ return (int)((1LL*(x%MOD)*(y%MOD))%MOD); }
void pre_dfs(int u,int p){
sz[u]=1;
for (int i=0;i<(int)adj[u].size();i++){
int v=adj[u][i];
if (v==p||is_deleted[v]) continue;
pre_dfs(v,u);
sz[u]+=sz[v];
}
}
int find_centroid(int u,int p,int tot){
for (int i=0;i<(int)adj[u].size();i++){
int v=adj[u][i];
if (v==p||is_deleted[v]) continue;
if (sz[v]>tot/2) return find_centroid(v,u,tot);
}
return u;
}
void DFS(int u,int p,int depth,int half,int &Hf,int &Hb,vector<pair<int,int> > &col){
if (depth>half) return;
int val=S[u]-'a'+1;
Hf = addm(mulm(Hf,base), val);
Hb = addm(Hb, mulm(val, pw[depth-1]));
col.push_back({Hf,Hb});
if (depth==half) return;
for (int i=0;i<(int)adj[u].size();i++){
int v=adj[u][i];
if (v==p||is_deleted[v]) continue;
int nHf=Hf, nHb=Hb;
DFS(v,u,depth+1,half,nHf,nHb,col);
}
}
bool check_even_at_root(int root,int L){
if (L&1) return false;
int half=L/2;
if (half==0) return true;
static vector<vector<pair<int,int> > > all; all.clear();
for (int i=0;i<(int)adj[root].size();i++){
int v=adj[root][i];
if (is_deleted[v]) continue;
vector<pair<int,int> > col;
int Hf=0,Hb=0;
DFS(v,root,1,half,Hf,Hb,col);
if (!col.empty()) all.push_back(col);
}
vector<unordered_set<long long> > seen(half+1);
for (int i=0;i<(int)all.size();i++){
for (int t=0;t<(int)all[i].size();t++){
int d=t+1;
int Hf=all[i][t].fi;
if (seen[d].count((long long)Hf)) return true;
}
for (int t=0;t<(int)all[i].size();t++){
int d=t+1;
int Hb=all[i][t].se;
seen[d].insert((long long)Hb);
}
}
return false;
}
bool check_odd_at_root(int root,int L){
if ((L&1)==0) return false;
int half=(L-1)/2;
if (half==0) return true;
static vector<vector<pair<int,int> > > all; all.clear();
for (int i=0;i<(int)adj[root].size();i++){
int v=adj[root][i];
if (is_deleted[v]) continue;
vector<pair<int,int> > col;
int Hf=0,Hb=0;
DFS(v,root,1,half,Hf,Hb,col);
if (!col.empty()) all.push_back(col);
}
vector<unordered_set<long long> > seen(half+1);
for (int i=0;i<(int)all.size();i++){
for (int t=0;t<(int)all[i].size();t++){
int d=t+1;
int Hf=all[i][t].fi;
if (seen[d].count((long long)Hf)) return true;
}
for (int t=0;t<(int)all[i].size();t++){
int d=t+1;
int Hb=all[i][t].se;
seen[d].insert((long long)Hb);
}
}
return false;
}
bool check_at_root(int root,int L){
if (check_even_at_root(root,L)) return true;
if (check_odd_at_root(root,L)) return true;
return false;
}
bool solve_centroid(int entry,int L){
pre_dfs(entry,0);
int tot=sz[entry];
int c=find_centroid(entry,0,tot);
is_deleted[c]=true;
if (check_at_root(c,L)) return true;
for (int i=0;i<(int)adj[c].size();i++){
int v=adj[c][i];
if (!is_deleted[v]){
if (solve_centroid(v,L)) return true;
}
}
return false;
}
bool checkL(int L){
for (int i=1;i<=n;i++) is_deleted[i]=false;
return solve_centroid(1,L);
}
int32_t main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
file();
cin>>n>>S; S="$"+S;
for (int i=1;i<n;i++){
int x,y; cin>>x>>y;
adj[x].push_back(y);
adj[y].push_back(x);
}
pw[0]=1; for (int i=1;i<=n;i++) pw[i]=mulm(pw[i-1],base);
int lo=1,hi=n,ans=1;
while (lo<=hi){
int mid=(lo+hi)>>1;
if (checkL(mid)) ans=mid, lo=mid+1;
else hi=mid-1;
}
cout<<ans<<endl;
bool M2;
cerr<<"-------------------------------------------------"<<endl;
cerr<<"Time : "<<clock()<<" ms"<<endl;
cerr<<"Memory : "<<llabs(&M2-&M1)/1024/1024<<" MB"<<endl;
cerr<<"-------------------------------------------------"<<endl;
return 0;
}
컴파일 시 표준 에러 (stderr) 메시지
lampice.cpp: In function 'int32_t main()':
lampice.cpp:20:50: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
20 | #define file() if (fopen(TASK".inp","r")){freopen(TASK".inp","r",stdin); freopen(TASK".out","w",stdout);}
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
lampice.cpp:157:5: note: in expansion of macro 'file'
157 | file();
| ^~~~
lampice.cpp:20:81: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
20 | #define file() if (fopen(TASK".inp","r")){freopen(TASK".inp","r",stdin); freopen(TASK".out","w",stdout);}
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~
lampice.cpp:157:5: note: in expansion of macro 'file'
157 | file();
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