from collections import defaultdict
from math import log
parent = range(100000)
def root(x):
	while x != parent[x]: parent[x] = x = parent[parent[x]]
	return x
N,M = map(int,raw_input().split())
conn_comp = defaultdict(int)
comp_num = defaultdict(int)
ans = [N]*(N+1)
ans[0] = 0
for i in xrange(M):
	u,v = map(lambda x:root(int(x)-1),raw_input().split())
	parent[u] = v
for i in xrange(N): conn_comp[root(i)] += 1
for v in conn_comp.itervalues(): comp_num[v] += 1
for v_num,num in comp_num.iteritems():
	log_num = int(log(num,2))
	mul = 1
	for i in xrange(log_num):
		w = v_num*mul
		for j in xrange(N,w-1,-1): ans[j] = min(ans[j],ans[j-w]+mul)
		num -= mul
		mul *= 2
	if num > 0:
		w = v_num*num
		for j in xrange(N,w-1,-1): ans[j] = min(ans[j],ans[j-w]+num)
for i in xrange(1,N+1):
	print ans[i]*(ans[i]<N)-1