#include <bits/stdc++.h>

using namespace std;

#define ar array
#define ll long long
typedef int uci;
#define int long long
#define F first
#define S second
typedef complex<double> cd;

seed_seq seq{
    (uint64_t) chrono::duration_cast<chrono::nanoseconds>(chrono::high_resolution_clock::now().time_since_epoch()).count(),
    (uint64_t) __builtin_ia32_rdtsc(),
    (uint64_t) (uintptr_t) make_unique<char>().get()
};
mt19937 rng(seq);
// mt19937_64 lrng(seq);

struct debugger{
    template <typename T>
    debugger& operator<<(T &a){
        #ifdef DEBUG
            cerr << a;
        #endif
        return *this;
    }
    template <typename T>
    debugger& operator<<(T &&a){
        #ifdef DEBUG
            cerr << a;
        #endif
        return *this;
    }
} deb;

const double PI = acos(-1.0);
const int MAX_N = 1e5 + 1;
const int MOD = 1e9 + 7;
const int INF = 1e9;
const ll LINF = 1e18;

//! function insert

//THINK FIRST, CODE SECOND
//DON'T GET STUCK ON ONE STRATEGY
//CALM DOWNNN FOR ONCE IN YOUR LIFE
//REDUCE
//COUGH E??!?!?!! O.O
//uwu i see you ryan

const int MAXN = 5e5 + 1;
int a[MAXN];
vector<int> adj[MAXN];

int comp[MAXN];
vector<vector<int>> comps = {{}};

bool in_cycle[MAXN];

void dfs(int c) {
    comp[c] = size(comps)-1;
    comps.back().push_back(c);

    for (auto ne: adj[c]) {
        if (comp[ne] == 0) {
            dfs(ne);
        }
    }
}

void solve() {
    int n; cin >> n;

    for (int i = 1; i <= n; i++) {
        cin >> a[i];
        adj[i].push_back(a[i]);
        adj[a[i]].push_back(i);
    }

    for (int i = 1; i <= n; i++) {
        if (comp[i] == 0) {
            comps.emplace_back();
            dfs(i);
        }
    }

    vector<int> delta(n+2);
    vector<int> ans(n+1);

    vector<int> size_add;

    for (int i = 1; i < size(comps); i++) {
        int cycle = 0;
        vector<int> tails;

        for (auto x: comps[i]) {
            if (size(adj[x]) > 2) {
                int c = x;
                while (not (cycle and c == x)) {
                    cycle++;
                    in_cycle[c] = true;
                    c = a[c];
                }
                break;
            }
        }

        if (cycle == 0) {
            cycle = size(comps[i]);
            tails.push_back(0);
            for (auto x: comps[i]) {
                in_cycle[x] = true;
            }
        }

        for (auto x: comps[i]) {
            if (size(adj[x]) == 1) {
                int tail = 0;

                while (not in_cycle[x]) {
                    tail++;
                    x = a[x];
                }

                tails.push_back(tail);
            }
        }

        sort(tails.begin(), tails.end());

        size_add.push_back(cycle + tails[0]);
        for (int j = 1; j < size(tails); j++) {
            size_add.push_back(tails[j]);
        }

        delta[cycle]++;
        delta[cycle + tails[0] + 1]--;
    }

    sort(size_add.begin(), size_add.end(), greater<>());

    // >= 1
    int tot_sz = 0;
    for (int j = 0; j < size(size_add); j++) {
        if (j) {
            for (int i = tot_sz+1; i <= tot_sz + size_add[j]; i++) {
                ans[i] = j;
            }
        }
        tot_sz += size_add[j];
    }

    // 1
    for (int i = 1; i <= size_add[0]; i++) {
        ans[i] = 1;
    }

    // 0
    for (int i = 1; i <= n; i++) {
        delta[i] += delta[i-1];
        if (delta[i]) {
            ans[i] = 0;
        }
    }


    for (int i = 1; i <= n; i++) {
        cout << ans[i] << ' ';
    }
}


uci main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0); cout.tie(0);
    // freopen("input.txt", "r", stdin);
    // freopen("output.txt", "w", stdout);

    solve();
}

/*
    random number generator stuff
    num = rng(); gives integer number
    num = uniform_int_distribution<int>(a, b)(rng); -> bounds [a, b]
    num = uniform_real_distribution<double>(a, b)(rng); -> bounds [a, b)
    can also instantiate distributions and call on generator:
    uniform_int_distribution<int> thing(a, b);
    num = thing(rng);
*/
// struct custom_hash {
//     static uint64_t splitmix64(uint64_t x) {
//         // http://xorshift.di.unimi.it/splitmix64.c
//         x += 0x9e3779b97f4a7c15;
//         x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
//         x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
//         return x ^ (x >> 31);
//     }
//     size_t operator()(uint64_t x) const {
//         static const uint64_t FIXED_RANDOM = lrng();
//         return splitmix64(x + FIXED_RANDOM);
//     }
// };