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 <iostream>
#include <cstdio>
#include <cstdlib>
#include <algorithm>
#include <cmath>
#include <vector>
#include <set>
#include <map>
#include <unordered_set>
#include <unordered_map>
#include <queue>
#include <ctime>
#include <cassert>
#include <complex>
#include <string>
#include <cstring>
#include <chrono>
#include <random>
#include <queue>
#include <bitset>
#include <stack>
#include <iomanip>
using namespace std;
#define all(x) x.begin(), x.end()
typedef vector <int> vi;
typedef pair<int,int> ii;
typedef long long ll;
typedef long double ld;
const int mod = 1e9 + 7;
const ll inf = 3e18 + 5;
int add(int a, int b) { return (a += b) < mod ? a : a - mod; }
int mul(int a, int b) { return 1LL * a * b % mod; }
int sub(int a, int b) { return (a -= b) < 0 ? a + mod : a; }
int ctz(int x) { return __builtin_ctz(x); }
int clz(int x) { return __builtin_clz(x); }
const int maxn = 2e5 + 5;
vi g[maxn];
ll dp[maxn];
int sz[maxn];
void dfs(int u, int p){
sz[u] = dp[u] = 1;
for(int v : g[u]){
if(v != p){
dfs(v, u);
dp[u] += dp[v];
sz[u] += sz[v];
dp[u] += sz[v];
}
}
}
int main(){
ios_base::sync_with_stdio(false); cin.tie(0);
#ifdef LOCAL
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif
int n;
cin >> n;
for(int i = 2; i <= n; i++){
int u;
cin >> u;
g[i].push_back(u);
g[u].push_back(i);
}
dfs(1, 1);
for(int u = 1; u <= n; u++){
cout << dp[u] << " ";
}
}
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