/*  _              _     _                                             _       __      __      __   
   / \     _   _  | |_  | |__     ___    _ __   _    ___   _ __ ___   | | __  / /_    / /_    / /_  
  / _ \   | | | | | __| | '_ \   / _ \  | '__| (_)  / __| | '_ ` _ \  | |/ / | '_ \  | '_ \  | '_ \ 
 / ___ \  | |_| | | |_  | | | | | (_) | | |     _  | (__  | | | | | | |   <  | (_) | | (_) | | (_) |
/_/   \_\  \__,_|  \__| |_| |_|  \___/  |_|    (_)  \___| |_| |_| |_| |_|\_\  \___/   \___/   \___/ 
[Created Time:       2024-09-05 10:58:53]
[Last Modified Time: 2024-09-05 13:23:26] */
#pragma GCC optimize("Ofast", "unroll-loops")
#include<bits/stdc++.h>
#ifdef LOCAL
#include"debug.h"
#else
#define D(...) ((void)0)
#endif
using namespace std; using ll = long long;
#define For(i, j, k) for ( int i = (j) ; i <= (k) ; i++ )
#define Fol(i, j, k) for ( int i = (j) ; i >= (k) ; i-- )
/*namespace FastIO
{
// ------------------------------
// #define DISABLE_MMAP
// ------------------------------
#if ( defined(LOCAL) || defined(_WIN32) ) && !defined(DISABLE_MMAP)
#define DISABLE_MMAP
#endif
#ifdef LOCAL
	inline char gc() { return getchar(); }
	inline void pc(char c) { putchar(c); }
#else
#ifdef DISABLE_MMAP
	inline constexpr int _READ_SIZE = 1 << 18;
	inline static char _read_buffer[_READ_SIZE], *_read_ptr = nullptr, *_read_ptr_end = nullptr;
	inline char gc()
	{
		if ( __builtin_expect(_read_ptr == _read_ptr_end, false) )
		{
			_read_ptr = _read_buffer, _read_ptr_end = _read_buffer + fread(_read_buffer, 1, _READ_SIZE, stdin);
			if ( __builtin_expect(_read_ptr == _read_ptr_end, false) ) return EOF;
		}
		return *_read_ptr++;
	}
#else
#include<sys/mman.h>
	inline static const char *_read_ptr = (const char *)mmap(nullptr, 0x7fffffff, 1, 2, 0, 0);
	inline char gc() { return *_read_ptr++; }
#endif
	inline constexpr int _WRITE_SIZE = 1 << 18;
	inline static char _write_buffer[_WRITE_SIZE], *_write_ptr = _write_buffer;
	inline void pc(char c)
	{
		*_write_ptr++ = c;
		if ( __builtin_expect(_write_buffer + _WRITE_SIZE == _write_ptr, false) )
			fwrite(_write_buffer, 1, _write_ptr - _write_buffer, stdout), _write_ptr = _write_buffer;
	}
	inline struct _auto_flush
	{
		inline ~_auto_flush() { fwrite(_write_buffer, 1, _write_ptr - _write_buffer, stdout); }
	}	_auto_flush;
#endif
#define println println_ // don't use C++23 std::println
	template < class T > inline constexpr bool _is_signed = numeric_limits < T >::is_signed;
	template < class T > inline constexpr bool _is_unsigned = numeric_limits < T >::is_integer && !_is_signed < T >;
#if __SIZEOF_LONG__ == 64
	template <> inline constexpr bool _is_signed < __int128 > = true;
	template <> inline constexpr bool _is_unsigned < __uint128_t > = true;
#endif
	inline void read(char &c) { do c = gc(); while ( !isgraph(c) ); }
	inline void read_cstr(char *s)
	{
		char c = gc(); while ( !isgraph(c) ) c = gc();
		while ( isgraph(c) ) *s++ = c, c = gc(); *s = 0;
	}
	inline void read(string &s)
	{
		char c = gc(); s.clear(); while ( !isgraph(c) ) c = gc();
		while ( isgraph(c) ) s.push_back(c), c = gc();
	}
	template < class T, enable_if_t < _is_signed < T >, int > = 0 >
	inline void read(T &x)
	{
		char c = gc(); bool f = true; x = 0;
		while ( !isdigit(c) ) { if ( c == 45 ) f = false; c = gc(); }
		if ( f ) while ( isdigit(c) ) x = x * 10 + ( c & 15 ), c = gc();
		else     while ( isdigit(c) ) x = x * 10 - ( c & 15 ), c = gc();
	}
	template < class T, enable_if_t < _is_unsigned < T >, int > = 0 >
	inline void read(T &x)
	{
		char c = gc(); while ( !isdigit(c) ) c = gc();
		x = 0; while ( isdigit(c) ) x = x * 10 + ( c & 15 ), c = gc();
	}
	inline void write(char c) { pc(c); }
	inline void write_cstr(const char *s) { while ( *s ) pc(*s++); }
	inline void write(const string &s) { for ( char c : s ) pc(c); }
	template < class T, enable_if_t < _is_signed < T >, int > = 0 >
	inline void write(T x)
	{
		char buffer[numeric_limits < T >::digits10 + 1]; int digits = 0;
		if ( x >= 0 )  do buffer[digits++] =  ( x % 10 ) | 48, x /= 10; while ( x );
		else { pc(45); do buffer[digits++] = -( x % 10 ) | 48, x /= 10; while ( x ); }
		while ( digits ) pc(buffer[--digits]);
	}
	template < class T, enable_if_t < _is_unsigned < T >, int > = 0 >
	inline void write(T x)
	{
		char buffer[numeric_limits < T >::digits10]; int digits = 0;
		do buffer[digits++] = ( x % 10 ) | 48, x /= 10; while ( x );
		while ( digits ) pc(buffer[--digits]);
	}
	template < int N > struct _tuple_io_helper
	{
		template < class ...T > static inline void _read(tuple < T... > &x) { _tuple_io_helper < N - 1 >::_read(x), read(get<N - 1>(x)); }
		template < class ...T > static inline void _write(const tuple < T... > &x) { _tuple_io_helper < N - 1 >::_write(x), pc(32), write(get<N - 1>(x)); }
	};
	template <> struct _tuple_io_helper < 1 >
	{
		template < class ...T > static inline void _read(tuple < T... > &x) { read(get<0>(x)); }
		template < class ...T > static inline void _write(const tuple < T... > &x) { write(get<0>(x)); }
	};
	template < class ...T > inline void read(tuple < T... > &x) { _tuple_io_helper < sizeof...(T) >::_read(x); }
	template < class ...T > inline void write(const tuple < T... > &x) { _tuple_io_helper < sizeof...(T) >::_write(x); }
	template < class T1, class T2 > inline void read(pair < T1, T2 > &x) { read(x.first), read(x.second); }
	template < class T1, class T2 > inline void write(const pair < T1, T2 > &x) { write(x.first), pc(32), write(x.second); }
	template < class T1, class ...T2 > inline void read(T1 &x, T2 &...y) { read(x), read(y...); }
	template < class ...T > inline void read_cstr(char *x, T *...y) { read_cstr(x), read_cstr(y...); }
	template < class T1, class ...T2 > inline void write(const T1 &x, const T2 &...y) { write(x), write(y...); }
	template < class ...T > inline void write_cstr(const char *x, const T *...y) { write_cstr(x), write_cstr(y...); }
	template < class T > inline void print(const T &x) { write(x); }
	inline void print_cstr(const char *x) { write_cstr(x); }
	template < class T1, class ...T2 > inline void print(const T1 &x, const T2 &...y) { write(x), pc(32), print(y...); }
	template < class ...T > inline void print_cstr(const char *x, const T *...y) { write_cstr(x), pc(32), print_cstr(y...); }
	inline void println() { pc(10); } inline void println_cstr() { pc(10); }
	template < class ...T > inline void println(const T &...x) { print(x...), pc(10); }
	template < class ...T > inline void println_cstr(const T *...x) { print_cstr(x...), pc(10); }
}	using FastIO::read, FastIO::read_cstr, FastIO::write, FastIO::write_cstr, FastIO::println, FastIO::println_cstr;*/
#include"tree.h"
int n, w[200009], o; ll ans[200009]; basic_string < int > g[200009];
#include<ext/pb_ds/priority_queue.hpp>
__gnu_pbds::priority_queue < pair < int, int > > s[200009];
inline void dfs(int u, int fa = 0)
{
	if ( g[u].empty() ) { ans[1] += w[u]; return; }
	s[u].push(pair(w[u], (int)g[u].size() - 1)), ans[1] += (ll)w[u] * ( (int)g[u].size() - 1 );
	for ( int i : g[u] ) dfs(i, u), s[u].join(s[i]);
	o = 0;
	for ( int i = 2 ; s[u].size() ; )
	{
		auto [v, c] = s[u].top(); if ( v < w[fa] ) break;
		s[u].pop(), o += c;
		if ( i <= n ) ans[i] -= v - w[fa], i = min(n + 1, i + c), ans[i] += v - w[fa];
	}
	s[u].push(pair(w[fa], o));
}
void init(vector < int > p, vector < int > w)
{
	n = (int)p.size(), copy(w.begin(), w.end(), ::w + 1);
	For(i, 2, n) g[p[i - 1] + 1].push_back(i);
	dfs(1), partial_sum(ans + 2, ans + n + 1, ans + 2), partial_sum(ans + 1, ans + n + 1, ans + 1);
}
ll query(int l, int r)
{
	int o = r / l;
	return o >= n ? ans[n] * l : ans[o] * ( l - r % l ) + ans[o + 1] * ( r % l );
}
#ifdef LOCAL
#include"grader.cpp"
#endif
// 想上GM捏 想上GM捏 想上GM捏 想上GM捏 想上GM捏
// 伊娜可爱捏 伊娜贴贴捏