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 <bits/stdc++.h>
//#include <ext/pb_ds/assoc_container.hpp>
//#include <ext/pb_ds/tree_policy.hpp>
#define in(x) freopen(x, "r", stdin)
#define out(x) freopen(x, "w", stdout)
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC optimize("-O3")
#define F first
#define S second
#define pb push_back
#define N +200500
#define MaxS N * N
#define M ll(1e9 + 7)
#define sz(x) (int)x.size()
//#define re return
#define oo ll(1e18)
#define el '\n'
#define pii pair <int, int>
using namespace std;
//using namespace __gnu_pbds;
//typedef tree <int, null_type, less_equal <int> , rb_tree_tag, tree_order_statistics_node_update> ordered_set;
typedef long long ll;
typedef long double ld;
ll d[N], siz[N], f[N], i, n, v;
vector <ll> g[N];
void dfs(ll v, ll pr)
{
d[v] = d[pr] + 1;
f[v] = 0;
siz[v] = 1;
for (auto u : g[v])
{
if (u == pr) continue;
dfs(u, v);
siz[v] += siz[u];
f[v] += f[u];
}
f[v] += siz[v];
}
int main()
{
srand(time(0));
ios_base::sync_with_stdio(0);
iostream::sync_with_stdio(0);
ios::sync_with_stdio(0);
cin.tie(NULL);
cout.tie(NULL);
// in("input.txt");
// out("output.txt");
cin >> n;
for (i = 2; i <= n; i++)
{
cin >> v;
g[v].pb(i);
}
for (i = 1; i <= n; i++) sort(g[i].begin(), g[i].end());
d[0] = 0;
dfs(1, 0);
for (i = 1; i <= n; i++) cout << f[i] << " ";
}
// x ^ 2 + y ^ 2 = 1
// x * a_i + y * b_i
// a_i = -b_i * tan(alpha)
// a_i / -b_i = tan(alpha)
// alpha = atan(a_i / (-b_i))
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