#include #include #include using namespace std; #define INF (1 << 29) int dp[108000], dd[108000]; int mm, n, m, x, y; int cnt[108000], res[108000]; int u[108000]; int r(int x){ if(u[x] == x)return x; return u[x] = r(u[x]); } void unite(int x, int y){ // if(r(x) == r(y))return; x = r(x); y = r(y); u[x] = y; } int main(){ cin >> n >> m; for(int i = 1;i <= n;i++)u[i] = i; for(int i = 0;i < m;i++){ cin >> x >> y; unite(x, y); } for(int i = 1;i <= n;i++){ cnt[r(i)]++; } fill(dp, dp + n + 3, INF); dp[0] = 0; for(int i = 1;i <= n;i++){ if(cnt[i]){ for(int j = n;j - cnt[i] >= 0;j--){ dp[j] = min(dp[j], dp[j - cnt[i]] + 1); } } } for(int i = 1;i <= n;i++){ if(dp[i] == INF)cout << -1 << endl; else cout << dp[i] - 1 << endl; } return 0; }