#include <algorithm>
#include <cmath>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <iostream>
#include <sstream>
#include <map>
#include <set>
#include <queue>
#include <vector>

using namespace std;

#define FOR(prom, a, b) for(int prom = (a); prom < (b); prom++)
#define FORD(prom, a, b) for(int prom = (a); prom > (b); prom--)
#define FORDE(prom, a, b) for(int prom = (a); prom >= (b); prom--)

#define DRI(a) int a; scanf("%d ", &a);
#define DRII(a, b) int a, b; scanf("%d %d ", &a, &b);

#define RI(a) scanf("%d ", &a);
#define RII(a, b) scanf("%d %d ", &a, &b);

#define PB push_back
#define MP make_pair

#define ll long long
#define ull unsigned long long

#define MM(co, cim) memset((co), (cim), sizeof((co)))

#define DEB(x) cerr << ">>> " << #x << " : " << x << endl;

int n, t, gp[10014], lp[10014], d[10014], cm, cmx, tx;
vector<int> g[10014], res;

void go (int x, int dist)
{
  if (gp[x] || lp[x]) return;
  lp[x] = 1;
  if (dist > cm)
  {
    cm = dist;
    cmx = x;
  }
  FOR(i, 0, g[x].size()) go(g[x][i], dist + 1);
}

int main ()
{
  while (scanf("%d", &n) == 1)
  {
    res.clear();
    FOR(i, 0, 10014) g[i].clear();
    FOR(i, 1, n)
    {
      scanf("%d", &t);
      g[i].PB(t);
      g[t].PB(i);
    }
    cm = 0;
    MM(gp, 0);
    MM(lp, 0);
    go(0, 0);
    FOR(i, 0, n)
    {
      MM(lp, 0);
      cm = 0;
      res.PB(cmx);
      tx = cmx;
      go(cmx, 0);
      gp[tx] = 1;
    }
    FOR(i, 0, res.size()) printf("%d%s", res[i], i == res.size() - 1 ? "\n" : " ");
  }
  return 0;
}