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;
void dbg_out() { cout << endl; }
template<typename Head, typename... Tail> void dbg_out(Head H, Tail... T) { cout << ' ' << H; dbg_out(T...); }
#ifdef LOCAL
#define debug(...) cout << "(" << #__VA_ARGS__ << "):", dbg_out(__VA_ARGS__)
#else
#define debug(...) "zzz"
#endif
using LL = long long;
using LD = long double;
using pii = pair<LL,LL>;
#define FOR(i, n) for(int i = 1; i<=n; i++)
#define F0R(i, n) for(int i = 0; i<n; i++)
#define all(x) x.begin(), x.end()
#define mp make_pair
#define pb push_back
#define f first
#define s second
template<typename T, typename = void> struct is_iterable : false_type {};
template<typename T> struct is_iterable<T, void_t<decltype(begin(declval<T>())),decltype(end(declval<T>()))>> : true_type {};
template<typename T> typename enable_if<is_iterable<T>::value&&!is_same<T, string>::value,ostream&>::type operator<<(ostream &cout, T const &v);
template<typename A, typename B> ostream& operator<<(ostream &cout, pair<A, B> const &p) { return cout << "(" << p.f << ", " << p.s << ")"; }
template<typename T> typename enable_if<is_iterable<T>::value&&!is_same<T, string>::value,ostream&>::type operator<<(ostream &cout, T const &v) {
cout << "[";
for (auto it = v.begin(); it != v.end();) {
cout << *it;
if (++it != v.end()) cout << ", ";
}
return cout << "]";
}
//var
LL T;
void solve() {
LL n;
cin >> n;
vector<LL> p(n);
vector e(n, vector<LL>());
FOR (i, n - 1) {
cin >> p[i];
p[i]--;
e[p[i]].pb(i);
}
//debug(e);
vector<LL> dp(n), sub(n);
auto dfs = [&](auto dfs, LL g, LL d) -> void {
sub[g] = 1;;
for (auto u : e[g]) {
dfs(dfs,u, d + 1);
dp[g] += dp[u];
sub[g] += sub[u];
}
dp[g] += sub[g];
};
dfs(dfs, 0, 1);
F0R (i, n)
cout << dp[i] << " \n"[i == n -1];
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
T = 1;
//cin >> T;
FOR(t, T)
solve();
cout.flush();
return 0;
}
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