#include <bits/stdc++.h>
using namespace std;
void dfs(vector<pair<long long, long long>> &dp, vector<vector<int>> &c, int v){
  for (int w : c[v]){
    dfs(dp, c, w);
    dp[v].first += dp[w].first + 1;
    dp[v].second += (dp[w].first + 1) * (dp[w].first + 1);
  }
  return;
}
int main(){
  int N;
  cin >> N;
  vector<int> p(N);
  for (int i = 1; i < N; i++){
    cin >> p[i];
    p[i]--;
  }
  vector<vector<int>> c(N);
  for (int i = 1; i < N; i++){
    c[p[i]].push_back(i);
  }
  vector<pair<long long, long long>> dp(N);
  dfs(dp, c, 0);
  vector<long long> ans(N);
  for (int i = 0; i < N; i++){
    ans[i] = dp[i].first * dp[i].first - dp[i].second + dp[i].first * 2 + 1;
  }
  for (int i = 0; i < N; i++){
    cout << ans[i] << endl;
  }
}