#include <bits/stdc++.h>
#define long long long int
#define DEBUG
using namespace std;

// @author: pashka

vector<vector<int>> g;
int l = 0;

int dfs(int x) {
    int r = 0;
    if (g[x].empty()) {
        r++;
        l++;
    }
    int mx1 = 0;
    int mx2 = 0;
    for (int y : g[x]) {
        int t = dfs(y);
        if (t > mx1) {
            mx2 = mx1;
            mx1 = t;
        } else if (t > mx2) {
            mx2 = t;
        }
    }
    return r + mx1 + mx2;
}

int main() {
    ios::sync_with_stdio(false);

    int n;
    cin >> n;
    g.resize(n);
    for (int i = 1; i < n; i++) {
        int p;
        cin >> p;
        p--;
        g[p].push_back(i);
    }
    int t = dfs(0);

    int s = -1;
    for (int i = 0; i < t; i++) {
        s += 2;
        cout << s << " ";
    }
    for (int i = 0; i < l - t; i++) {
        s += 1;
        cout << s << " ";
    }

    return 0;
}