#include using namespace std; #define Nmax 100010 bool used[Nmax]; vector edges[Nmax]; int dp[Nmax]; int countf(int i){ if(used[i]) return 0; used[i]=true; int result = 1; for(auto it=edges[i].begin(); it!=edges[i].end(); ++it){ result += countf(*it); } return result; } int main(){ int N,M; cin>>N>>M; for(int j=0;j>u>>v; edges[u].push_back(v); edges[v].push_back(u); } dp[0]=-1; for(int k=1;k<=N;++k){ dp[k]=N; } int sum=0; for(int i=1;i<=N;++i){ int c = countf(i); if(c>0){ sum+=c; for(int k=sum-c;k>=0;--k){ if(dp[k+c]>1+dp[k]){ dp[k+c]=1+dp[k]; } } } } for(int k=1;k<=N;++k){ cout << (dp[k]