#include "bits/stdc++.h"
using namespace std;
#define FOR(i,j,k) for(int (i)=(j);(i)<(int)(k);++(i))
#define rep(i,j) FOR(i,0,j)
#define each(x,y) for(auto &(x):(y))
#define mp make_pair
#define all(x) (x).begin(),(x).end()
#define debug(x) cout<<#x<<": "<<(x)<<endl
#define smax(x,y) (x)=max((x),(y))
#define smin(x,y) (x)=min((x),(y))
#define MEM(x,y) memset((x),(y),sizeof (x))
#define sz(x) (int)(x).size()
typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;
typedef vector<ll> vll;

class UnionFind{
public:
    UnionFind(int _n):n(_n), cnt(_n), par(_n), rank(_n), size(_n, 1){
        for(int i=0;i<n;++i) par[i]=i;
    }
    int find(int k){
        return (k==par[k])?k:(par[k]=find(par[k]));
    }
    int operator[](int k){
        return find(k);
    }
    int getSize(int k){
        return size[find(k)];
    }
    void unite(int x, int y){
        x = find(x); y = find(y);
        if(x==y) return;
        --cnt;
        if(rank[x] < rank[y]){
            par[x] = y;
            size[y] += size[x];
        }else{
            par[y] = x;
            size[x] += size[y];
            if(rank[y] == rank[x]) ++rank[y];
        }
    }
    int count(){
        return cnt;
    }
private:
    int n, cnt;
    vector<int> par, rank, size;
};

const int NAX = 100001, INF = INT_MAX;
int N, M, dp[NAX];

int main(){
    while(cin >> N >> M){
        UnionFind uf(N + 1);
        rep(i, M){
            int u, v;
            scanf("%d%d", &u, &v);
            uf.unite(u, v);
        }

        vi cc(N + 1), w, cnt;
        FOR(i, 1, N + 1)cc[uf[i]]++;
        map<int, int> cnt_;
        FOR(i, 1, N + 1)if(cc[i])cnt_[cc[i]]++;
        each(p, cnt_)w.push_back(p.first), cnt.push_back(p.second);
        rep(j, N + 1)dp[j] = INF;
        dp[0] = -1;
        rep(i, sz(w)){
            for(int k = 1; cnt[i]; k <<= 1){
                int m = min(k, cnt[i]), pj;
                for(int j = N; (pj=j-m*w[i]) >= 0; --j)
                    if(dp[pj]!=INF)
                        smin(dp[j], dp[pj] + m);
                cnt[i] -= m;
            }
        }
        FOR(i, 1, N + 1)printf("%d\n", dp[i] != INF ? dp[i] : -1);
    }
}