#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC optimize("inline")
#include<bits/stdc++.h>
using namespace std;
template < class T> struct cLtraits_identity{
using type = T;
}
;
template < class T> using cLtraits_try_make_signed =
typename conditional<
is_integral< T> :: value ,
make_signed< T> ,
cLtraits_identity< T>
> :: type ;
template < class S, class T> struct cLtraits_common_type{
using tS = typename cLtraits_try_make_signed< S> :: type ;
using tT = typename cLtraits_try_make_signed< T> :: type ;
using type = typename common_type< tS,tT> :: type ;
}
;
void * wmem;
char memarr[ 96000000 ] ;
template < class S, class T> inline auto max_L( S a, T b)
- > typename cLtraits_common_type< S,T> :: type {
return ( typename cLtraits_common_type< S,T> :: type ) a >= ( typename cLtraits_common_type< S,T> :: type ) b ? a : b;
}
template < class T> inline void walloc1d( T ** arr, int x, void ** mem = & wmem) {
static int skip[ 16 ] = { 0 , 15 , 14 , 13 , 12 , 11 , 10 , 9 , 8 , 7 , 6 , 5 , 4 , 3 , 2 , 1 } ;
( * mem) = ( void * ) ( ( ( char * ) ( * mem) ) + skip[ ( ( unsigned long long ) ( * mem) ) & 15 ] ) ;
( * arr) = ( T* ) ( * mem) ;
( * mem) = ( ( * arr) + x) ;
}
template < class T> inline void walloc1d( T ** arr, int x1, int x2, void ** mem = & wmem) {
walloc1d( arr, x2- x1, mem) ;
( * arr) - = x1;
}
template < class S> inline void arrInsert( const int k, int & sz, S a[ ] , const S aval) {
int i;
sz++ ;
for ( i= sz- 1 ; i> k; i-- ) {
a[ i] = a[ i- 1 ] ;
}
a[ k] = aval;
}
template < class S, class T> inline void arrInsert( const int k, int & sz, S a[ ] , const S aval, T b[ ] , const T bval) {
int i;
sz++ ;
for ( i= sz- 1 ; i> k; i-- ) {
a[ i] = a[ i- 1 ] ;
}
for ( i= sz- 1 ; i> k; i-- ) {
b[ i] = b[ i- 1 ] ;
}
a[ k] = aval;
b[ k] = bval;
}
template < class S, class T, class U> inline void arrInsert( const int k, int & sz, S a[ ] , const S aval, T b[ ] , const T bval, U c[ ] , const U cval) {
int i;
sz++ ;
for ( i= sz- 1 ; i> k; i-- ) {
a[ i] = a[ i- 1 ] ;
}
for ( i= sz- 1 ; i> k; i-- ) {
b[ i] = b[ i- 1 ] ;
}
for ( i= sz- 1 ; i> k; i-- ) {
c[ i] = c[ i- 1 ] ;
}
a[ k] = aval;
b[ k] = bval;
c[ k] = cval;
}
template < class S, class T, class U, class V> inline void arrInsert( const int k, int & sz, S a[ ] , const S aval, T b[ ] , const T bval, U c[ ] , const U cval, V d[ ] , const V dval) {
int i;
sz++ ;
for ( i= sz- 1 ; i> k; i-- ) {
a[ i] = a[ i- 1 ] ;
}
for ( i= sz- 1 ; i> k; i-- ) {
b[ i] = b[ i- 1 ] ;
}
for ( i= sz- 1 ; i> k; i-- ) {
c[ i] = c[ i- 1 ] ;
}
for ( i= sz- 1 ; i> k; i-- ) {
d[ i] = d[ i- 1 ] ;
}
a[ k] = aval;
b[ k] = bval;
c[ k] = cval;
d[ k] = dval;
}
struct graph{
int N;
int * es;
int ** edge;
void setEdgeRootedTree( int N__, int M, int A[ ] , int B[ ] , int root= 0 , int reorder= 0 , int cnv[ ] = NULL , void ** mem = & wmem) {
int i;
int j;
int k;
int * dist;
int * q;
int qs;
int qe;
int * ind;
void * tmem;
N = N__;
tmem = ( ( char * ) ( * mem) ) + ( sizeof ( int ) * N + 15 ) + ( sizeof ( int * ) * N + 15 ) + ( sizeof ( int ) * M + 15 * N) ;
walloc1d( & es, N, mem) ;
walloc1d( & edge, N, mem) ;
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
es[ i] = 0 ;
}
for ( i= ( 0 ) ; i< ( M) ; i++ ) {
es[ A[ i] ] ++ ;
es[ B[ i] ] ++ ;
}
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
walloc1d( & edge[ i] , es[ i] , & tmem) ;
}
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
es[ i] = 0 ;
}
for ( i= ( 0 ) ; i< ( M) ; i++ ) {
edge[ A[ i] ] [ es[ A[ i] ] ++ ] = B[ i] ;
edge[ B[ i] ] [ es[ B[ i] ] ++ ] = A[ i] ;
}
walloc1d( & dist, N, & tmem) ;
walloc1d( & q, N, & tmem) ;
walloc1d( & ind, N, & tmem) ;
if ( cnv== NULL ) {
walloc1d( & cnv, N, & tmem) ;
}
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
dist[ i] = - 1 ;
}
dist[ root] = 0 ;
qs = qe = 0 ;
q[ qe++ ] = root;
while ( qs < qe) {
i = q[ qs++ ] ;
for ( j= ( 0 ) ; j< ( es[ i] ) ; j++ ) {
k = edge[ i] [ j] ;
if ( dist[ k] == - 1 ) {
dist[ k] = dist[ i] + 1 ;
q[ qe++ ] = k;
}
}
}
if ( reorder == 0 ) {
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
cnv[ i] = i;
}
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
ind[ i] = i;
}
}
else {
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
cnv[ i] = q[ i] ;
}
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
ind[ cnv[ i] ] = i;
}
}
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
es[ i] = 0 ;
}
for ( i= ( 0 ) ; i< ( M) ; i++ ) {
j = A[ i] ;
k = B[ i] ;
if ( dist[ j] > dist[ k] ) {
swap( j, k) ;
}
es[ ind[ j] ] ++ ;
}
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
walloc1d( & edge[ i] , es[ i] , mem) ;
}
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
es[ i] = 0 ;
}
for ( i= ( 0 ) ; i< ( M) ; i++ ) {
j = A[ i] ;
k = B[ i] ;
if ( dist[ j] > dist[ k] ) {
swap( j, k) ;
}
j = ind[ j] ;
k = ind[ k] ;
edge[ j] [ es[ j] ++ ] = k;
}
}
void SubTreeSize( int root, int res[ ] , void * mem = wmem) {
int i;
int j;
int k;
int m;
int * q;
int qs = 0 ;
int qe = 1 ;
walloc1d( & q,N,& mem) ;
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
res[ i] = - 1 ;
}
res[ root] = 0 ;
q[ 0 ] = root;
while ( qs < qe) {
i = q[ qs++ ] ;
for ( j= ( 0 ) ; j< ( es[ i] ) ; j++ ) {
k = edge[ i] [ j] ;
if ( res[ k] == 0 ) {
continue ;
}
res[ k] = 0 ;
q[ qe++ ] = k;
}
}
for ( m= ( N) - 1 ; m>= ( 0 ) ; m-- ) {
i = q[ m] ;
res[ i] = 1 ;
for ( j= ( 0 ) ; j< ( es[ i] ) ; j++ ) {
k = edge[ i] [ j] ;
res[ i] + = res[ k] ;
}
}
}
}
;
#define main dummy_main
int main( ) {
wmem = memarr;
return 0 ;
}
#undef main
int N;
int M;
int A[ 100000 ] ;
int B[ 100000 ] ;
int sz[ 100000 ] ;
long long score[ 100000 ] ;
long long mx;
graph g;
class Solution{
public :
int countHighestScoreNodes( vector< int > & p) {
int i;
dummy_main( ) ;
int res = 0 ;
int rem;
N = p.size ( ) ;
M = 0 ;
for ( i= ( 1 ) ; i< ( N) ; i++ ) {
arrInsert( M, M, A, i, B, p[ i] ) ;
}
g.setEdgeRootedTree ( N,M,A,B) ;
g.SubTreeSize ( 0 , sz) ;
for ( i= ( 0 ) ; i< ( N) ; i++ ) {
int cTE1_r3A;
score[ i] = 1 ;
rem = N - 1 ;
for ( cTE1_r3A= ( 0 ) ; cTE1_r3A< ( g.es [ i] ) ; cTE1_r3A++ ) {
auto & j = g.edge [ i] [ cTE1_r3A] ;
score[ i] * = sz[ j] ;
rem - = sz[ j] ;
}
if ( rem > 1 ) {
score[ i] * = rem;
}
}
int xr20shxY;
cLtraits_try_make_signed< remove_reference< decltype( ( * ( ( long long * ) NULL ) ) ) > :: type > :: type WYIGIcGE;
if ( N== 0 ) {
WYIGIcGE = 0 ;
}
else {
WYIGIcGE = score[ 0 ] ;
for ( xr20shxY= ( 1 ) ; xr20shxY< ( N) ; xr20shxY++ ) {
WYIGIcGE = max_L( WYIGIcGE, score[ xr20shxY] ) ;
}
}
mx = WYIGIcGE;
int ao_dF3pO;
remove_reference< decltype( 1 ) > :: type tU__gIr_;
int a2conNHc = 0 ;
if ( ( 0 ) > ( ( N) - 1 ) ) {
tU__gIr_ = 0 ;
}
else {
for ( ao_dF3pO = 0 ; ao_dF3pO <= ( N) - 1 ; ao_dF3pO++ ) {
if ( score[ ao_dF3pO] == mx) {
if ( a2conNHc == 0 ) {
tU__gIr_ = 1 ;
a2conNHc = 1 ;
continue ;
}
tU__gIr_ + = 1 ;
}
}
if ( a2conNHc== 0 ) {
tU__gIr_ = 0 ;
}
}
return tU__gIr_;
}
}
;
// cLay version 20211024-1
// --- original code ---
// #define main dummy_main
// {}
// #undef main
//
// int N, M, A[1d5], B[], sz[];
// ll score[], mx;
// graph g;
//
// class Solution {
// public:
// int countHighestScoreNodes(VI& p) {
// dummy_main();
// int res = 0, rem;
// N = p.size();
// M = 0;
// rep(i,1,N) arrInsert(M, M, A, i, B, p[i]);
// g.setEdgeRootedTree(N,M,A,B);
// g.SubTreeSize(0, sz);
// rep(i,N){
// score[i] = 1;
// rem = N - 1;
// rep[g.edge[i]](j,g.es[i]){
// score[i] *= sz[j];
// rem -= sz[j];
// }
// if(rem > 1) score[i] *= rem;
// }
// mx = max(score(N));
// return sum[i,0,N @ score[i] == mx](1);
// }
// };
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC optimize("inline")
#include<bits/stdc++.h>
using namespace std;
template<class T> struct cLtraits_identity{
  using type = T;
}
;
template<class T> using cLtraits_try_make_signed =
  typename conditional<
    is_integral<T>::value,
    make_signed<T>,
    cLtraits_identity<T>
    >::type;
template <class S, class T> struct cLtraits_common_type{
  using tS = typename cLtraits_try_make_signed<S>::type;
  using tT = typename cLtraits_try_make_signed<T>::type;
  using type = typename common_type<tS,tT>::type;
}
;
void*wmem;
char memarr[96000000];
template<class S, class T> inline auto max_L(S a, T b)
-> typename cLtraits_common_type<S,T>::type{
  return (typename cLtraits_common_type<S,T>::type) a >= (typename cLtraits_common_type<S,T>::type) b ? a : b;
}
template<class T> inline void walloc1d(T **arr, int x, void **mem = &wmem){
  static int skip[16] = {0, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1};
  (*mem) = (void*)( ((char*)(*mem)) + skip[((unsigned long long)(*mem)) & 15] );
  (*arr)=(T*)(*mem);
  (*mem)=((*arr)+x);
}
template<class T> inline void walloc1d(T **arr, int x1, int x2, void **mem = &wmem){
  walloc1d(arr, x2-x1, mem);
  (*arr) -= x1;
}
template<class S> inline void arrInsert(const int k, int &sz, S a[], const S aval){
  int i;
  sz++;
  for(i=sz-1;i>k;i--){
    a[i] = a[i-1];
  }
  a[k] = aval;
}
template<class S, class T> inline void arrInsert(const int k, int &sz, S a[], const S aval, T b[], const T bval){
  int i;
  sz++;
  for(i=sz-1;i>k;i--){
    a[i] = a[i-1];
  }
  for(i=sz-1;i>k;i--){
    b[i] = b[i-1];
  }
  a[k] = aval;
  b[k] = bval;
}
template<class S, class T, class U> inline void arrInsert(const int k, int &sz, S a[], const S aval, T b[], const T bval, U c[], const U cval){
  int i;
  sz++;
  for(i=sz-1;i>k;i--){
    a[i] = a[i-1];
  }
  for(i=sz-1;i>k;i--){
    b[i] = b[i-1];
  }
  for(i=sz-1;i>k;i--){
    c[i] = c[i-1];
  }
  a[k] = aval;
  b[k] = bval;
  c[k] = cval;
}
template<class S, class T, class U, class V> inline void arrInsert(const int k, int &sz, S a[], const S aval, T b[], const T bval, U c[], const U cval, V d[], const V dval){
  int i;
  sz++;
  for(i=sz-1;i>k;i--){
    a[i] = a[i-1];
  }
  for(i=sz-1;i>k;i--){
    b[i] = b[i-1];
  }
  for(i=sz-1;i>k;i--){
    c[i] = c[i-1];
  }
  for(i=sz-1;i>k;i--){
    d[i] = d[i-1];
  }
  a[k] = aval;
  b[k] = bval;
  c[k] = cval;
  d[k] = dval;
}
struct graph{
  int N;
  int*es;
  int**edge;
  void setEdgeRootedTree(int N__, int M, int A[], int B[], int root=0, int reorder=0, int cnv[] = NULL, void **mem = &wmem){
    int i;
    int j;
    int k;
    int*dist;
    int*q;
    int qs;
    int qe;
    int*ind;
    void*tmem;
    N = N__;
    tmem = ((char*)(*mem)) + (sizeof(int) * N + 15) + (sizeof(int*) * N + 15) + (sizeof(int) * M + 15 * N);
    walloc1d(&es, N, mem);
    walloc1d(&edge, N, mem);
    for(i=(0);i<(N);i++){
      es[i] = 0;
    }
    for(i=(0);i<(M);i++){
      es[A[i]]++;
      es[B[i]]++;
    }
    for(i=(0);i<(N);i++){
      walloc1d(&edge[i], es[i], &tmem);
    }
    for(i=(0);i<(N);i++){
      es[i] = 0;
    }
    for(i=(0);i<(M);i++){
      edge[A[i]][es[A[i]]++] = B[i];
      edge[B[i]][es[B[i]]++] = A[i];
    }
    walloc1d(&dist, N, &tmem);
    walloc1d(&q, N, &tmem);
    walloc1d(&ind, N, &tmem);
    if(cnv==NULL){
      walloc1d(&cnv, N, &tmem);
    }
    for(i=(0);i<(N);i++){
      dist[i] = -1;
    }
    dist[root] = 0;
    qs = qe = 0;
    q[qe++] = root;
    while(qs < qe){
      i = q[qs++];
      for(j=(0);j<(es[i]);j++){
        k = edge[i][j];
        if(dist[k]==-1){
          dist[k] = dist[i] + 1;
          q[qe++] = k;
        }
      }
    }
    if(reorder == 0){
      for(i=(0);i<(N);i++){
        cnv[i] = i;
      }
      for(i=(0);i<(N);i++){
        ind[i] = i;
      }
    }
    else{
      for(i=(0);i<(N);i++){
        cnv[i] = q[i];
      }
      for(i=(0);i<(N);i++){
        ind[cnv[i]] = i;
      }
    }
    for(i=(0);i<(N);i++){
      es[i] = 0;
    }
    for(i=(0);i<(M);i++){
      j = A[i];
      k = B[i];
      if(dist[j] > dist[k]){
        swap(j, k);
      }
      es[ind[j]]++;
    }
    for(i=(0);i<(N);i++){
      walloc1d(&edge[i], es[i], mem);
    }
    for(i=(0);i<(N);i++){
      es[i] = 0;
    }
    for(i=(0);i<(M);i++){
      j = A[i];
      k = B[i];
      if(dist[j] > dist[k]){
        swap(j, k);
      }
      j = ind[j];
      k = ind[k];
      edge[j][es[j]++] = k;
    }
  }
  void SubTreeSize(int root, int res[], void *mem = wmem){
    int i;
    int j;
    int k;
    int m;
    int*q;
    int qs = 0;
    int qe = 1;
    walloc1d(&q,N,&mem);
    for(i=(0);i<(N);i++){
      res[i] = -1;
    }
    res[root] = 0;
    q[0] = root;
    while(qs < qe){
      i = q[qs++];
      for(j=(0);j<(es[i]);j++){
        k = edge[i][j];
        if(res[k]==0){
          continue;
        }
        res[k] = 0;
        q[qe++] = k;
      }
    }
    for(m=(N)-1;m>=(0);m--){
      i = q[m];
      res[i] = 1;
      for(j=(0);j<(es[i]);j++){
        k = edge[i][j];
        res[i] += res[k];
      }
    }
  }
}
;
#define main dummy_main
int main(){
  wmem = memarr;
  return 0;
}
#undef main
int N;
int M;
int A[100000];
int B[100000];
int sz[100000];
long long score[100000];
long long mx;
graph g;
class Solution{
  public:
  int countHighestScoreNodes(vector<int>& p){
    int i;
    dummy_main();
    int res = 0;
    int rem;
    N = p.size();
    M = 0;
    for(i=(1);i<(N);i++){
      arrInsert(M, M, A, i, B, p[i]);
    }
    g.setEdgeRootedTree(N,M,A,B);
    g.SubTreeSize(0, sz);
    for(i=(0);i<(N);i++){
      int cTE1_r3A;
      score[i] = 1;
      rem = N - 1;
      for(cTE1_r3A=(0);cTE1_r3A<(g.es[i]);cTE1_r3A++){
        auto&j = g.edge[i][cTE1_r3A];
        score[i] *= sz[j];
        rem -= sz[j];
      }
      if(rem > 1){
        score[i] *= rem;
      }
    }
    int xr20shxY;
    cLtraits_try_make_signed<remove_reference<decltype((*((long long*)NULL)))>::type>::type WYIGIcGE;
    if(N==0){
      WYIGIcGE = 0;
    }
    else{
      WYIGIcGE = score[0];
      for(xr20shxY=(1);xr20shxY<(N);xr20shxY++){
        WYIGIcGE = max_L(WYIGIcGE, score[xr20shxY]);
      }
    }
    mx =WYIGIcGE;
    int ao_dF3pO;
    remove_reference<decltype(1)>::type tU__gIr_;
    int a2conNHc = 0;
    if((0) > ((N)-1)){
      tU__gIr_ = 0;
    }
    else{
      for(ao_dF3pO = 0; ao_dF3pO <= (N)-1; ao_dF3pO++){
        if(score[ao_dF3pO] == mx){
          if(a2conNHc == 0){
            tU__gIr_ = 1;
            a2conNHc = 1;
            continue;
          }
          tU__gIr_ += 1;
        }
      }
      if(a2conNHc==0){
        tU__gIr_ = 0;
      }
    }
    return tU__gIr_;
  }
}
;
// cLay version 20211024-1

// --- original code ---
// #define main dummy_main
// {}
// #undef main
// 
// int N, M, A[1d5], B[], sz[];
// ll score[], mx;
// graph g;
// 
// class Solution {
// public:
//   int countHighestScoreNodes(VI& p) {
//     dummy_main();
//     int res = 0, rem;
//     N = p.size();
//     M = 0;
//     rep(i,1,N) arrInsert(M, M, A, i, B, p[i]);
//     g.setEdgeRootedTree(N,M,A,B);
//     g.SubTreeSize(0, sz);
//     rep(i,N){
//       score[i] = 1;
//       rem = N - 1;
//       rep[g.edge[i]](j,g.es[i]){
//         score[i] *= sz[j];
//         rem -= sz[j];
//       }
//       if(rem > 1) score[i] *= rem;
//     }
//     mx = max(score(N));
//     return sum[i,0,N @ score[i] == mx](1);
//   }
// };
