#include <bits/stdc++.h>

#define show(x) cerr << #x << " = " << x << endl

using namespace std;
using ll = long long;
using pii = pair<int, int>;
using vi = vector<int>;

template <typename T>
ostream& operator<<(ostream& os, const vector<T>& v)
{
    os << "sz=" << v.size() << "\n[";
    for (const auto& p : v) {
        os << p << ",";
    }
    os << "]\n";
    return os;
}

template <typename S, typename T>
ostream& operator<<(ostream& os, const pair<S, T>& p)
{
    os << "(" << p.first << "," << p.second
       << ")";
    return os;
}


constexpr ll MOD = 1e9 + 7;

template <typename T>
constexpr T INF = numeric_limits<T>::max() / 100;

class DisjointSets
{
public:
    DisjointSets(const int v)
    {
        m_parent.resize(v);
        m_rank.resize(v);
        m_size.resize(v);
        for (int i = 0; i < v; i++) {
            m_parent[i] = i;
            m_rank[i] = 0;
            m_size[i] = 1;
        }
    }

    bool same(const int a, const int b)
    {
        return find(a) == find(b);
    }


    int find(const int a)
    {
        if (m_parent[a] == a) {
            return a;
        } else {
            return m_parent[a] = find(m_parent[a]);
        }
    }

    void unite(const int a_, const int b_)
    {
        const int a = find(a_);
        const int b = find(b_);
        if (a == b) {
            return;
        }
        if (m_rank[a] > m_rank[b]) {
            m_parent[b] = a;
            m_size[a] += m_size[b];
        } else {
            m_parent[a] = b;
            m_size[b] += m_size[a];
        }
        if (m_rank[a] == m_rank[b]) {
            m_rank[b]++;
        }
    }

    int getSize(const int a)
    {
        return m_size[m_parent[a]];
    }

private:
    vector<int> m_parent;
    vector<int> m_rank;
    vector<int> m_size;
};

int main()
{
    cin.tie(0);
    ios::sync_with_stdio(false);
    int N, M;
    cin >> N >> M;
    DisjointSets uf(N);
    for (int i = 0; i < M; i++) {
        int u, v;
        cin >> u >> v;
        u--, v--;
        uf.unite(u, v);
    }
    vector<int> node(N, 0);
    for (int i = 0; i < N; i++) {
        node[uf.find(i)]++;
    }
    vector<int> num;
    for (int i = 0; i < N; i++) {
        if (node[i] > 0) {
            num.push_back(node[i]);
        }
    }
    sort(num.begin(), num.end());
    map<int, int> mp;
    for (int i = 0; i < N; i++) {
        mp[num[i]]++;
    }
    auto a = num;
    a.erase(unique(a.begin(), a.end()), a.end());
    const int size = a.size();
    vector<int> m(size, 0);
    for (int i = 0; i < size; i++) {
        m[i] = mp[a[i]];
    }

    vector<int> value;
    vector<int> weight;
    for (int i = 0; i < size; i++) {
        for (int j = 1; j <= m[i]; j *= 2) {
            value.push_back(a[i] * j);
            weight.push_back(j);
        }
    }
    const int n = value.size();
    vector<int> dp(N + 1, INF<int>);
    dp[0] = -1;
    for (int i = 0; i < n; i++) {
        auto tmp = dp;
        for (int j = 0; j <= N; j++) {
            if (tmp[j] != INF<int> and j + value[i] <= N) {
                dp[j + value[i]] = min(dp[j + value[i]], tmp[j] + weight[i]);
            }
        }
    }
    for (int i = 1; i <= N; i++) {
        if (dp[i] != INF<int>) {
            cout << dp[i] << endl;
        } else {
            cout << -1 << endl;
        }
    }

    return 0;
}