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>
using namespace std;
#define sp << " " <<
#define int long long
#define vi vector<int>
#define F(xxx,yyy) for (int xxx=1;xxx<=yyy;xxx++)
#define pii pair<int,int>
#define pb push_back
const int N = 5e5+1;
const int inf = 1e9+1;
const int MOD = 1e9+7;
vi edges[N],sz(N),dp(N);
void dfs(int node) {
for (auto it : edges[node]) dfs(it);
int ans = 1;
sz[node] = 1;
for (auto it : edges[node]) {
ans+=dp[it]+sz[it];
sz[node]+=sz[it];
}
dp[node] = ans;
}
void solve() {
int n;
cin >> n;
for (int i=2;i<=n;i++) {
int p;
cin >> p;
edges[p].pb(i);
}
dfs(1);
F(i,n) cout << dp[i] << " ";
cout << endl;
}
signed main() {
ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#ifdef Local
freopen("in","r",stdin);
freopen("out","w",stdout);
#endif
int t = 1;
//cin >> t;
F(i,t) solve();
}
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