#include #define ll long long using namespace std; ll read() { ll s=0,p=1; char c; c=getchar(); while((c>'9'||c<'0')&&c!='-') c=getchar(); if(c=='-') { p=-1; c=getchar(); } while(c>='0'&&c<='9') { s=(s<<3)+(s<<1)+c-'0'; c=getchar(); } return s*p; } inline void write(ll x) { if(x==0) return; if(x<0) { putchar('-'); write(-x); return; } write(x/10); putchar(x%10+'0'); return; } ll n,m,h[200000],f[200000],l,dfn[200000],mi,dp[200000]; struct bs{ ll n,t; }e[200000]; void cr(ll x,ll y) { e[++l].t=y; e[l].n=h[x]; h[x]=l; } void dfs(ll x,ll fa) { dfn[x]=1; for(int i=h[x];i;i=e[i].n) if(e[i].t!=fa&&e[i].t!=x&&!dfn[e[i].t]) { dfs(e[i].t,x); dfn[x]+=dfn[e[i].t]; } return; } int main() { ll x,y; n=read();m=read(); while(m) { m--; x=read();y=read(); cr(x,y); cr(y,x); } for(int i=1;i<=n;i++) { dp[i]=n+1; if(!dfn[i]) { dfs(i,-1); f[dfn[i]]++; mi=max(dfn[i],mi); } } dp[0]=0; for(int i=1;i<=mi;i++) for(int k=n;k>=0;k--) for(int j=0;j<=f[i];j++) if(k>=j*i) dp[k]=min(dp[k],dp[k-i*j]+j); for(int i=1;i<=n;i++) if(dp[i]==n+1) { write(-1); putchar('\n'); } else printf("%lld\n",dp[i]-1); return 0; }