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>
#define inf 2e9
#define int long long
#define all(v) v.begin(), v.end()
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair <int, int> pii;
const int N = 200000 + 3;
int n, sum[N], k[N];
vector <vector <int> > v;
void dfs(int x){
for (auto u: v[x]){
dfs(u);
sum[x] += sum[u] + k[u];
k[x] += k[u];
}
sum[x]++;
k[x]++;
}
int32_t main()
{
ios_base::sync_with_stdio(false);
cin.tie(0);
#ifdef LOCAL
freopen("input.txt", "r", stdin);
#endif // LOCAL
cin >> n;
v.resize(n);
for (int i = 1; i < n; i++){
int x;
cin >> x;
--x;
v[x].push_back(i);
}
dfs(0);
for (int i = 0; i < n; i++)
cout << sum[i] << " ";
}
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