#include<bits/stdc++.h> using namespace std; int fa[200005]; int find(int x) { return fa[x]==x?x:fa[x]=find(fa[x]); } int siz[200005]; int dp[200005]; vector<int> bag; int main() { int n,m; cin>>n>>m; for(int i =1;i<=n;i++) fa[i]=i; for(int i =1;i<=m;i++) { int u,v; cin>>u>>v; fa[find(u)]=find(v); } for(int i =1;i<=n;i++) { siz[find(i)]++; } for(int i =1;i<=n;i++) { if(siz[i]) bag.push_back(siz[i]); } memset(dp,0x7f,sizeof dp); dp[0]=0; for(int i =0;i<bag.size();i++) { for(int j=n;j>=bag[i];j--) { dp[j]=min(dp[j-bag[i]]+1,dp[j]); } } for(int i =1;i<=n;i++) { if(dp[i]>2e9) { cout<<"-1\n"; } else { cout<<dp[i]-1<<'\n'; } } return 0; }