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))
	tmp = mul = 1
	for i in xrange(log_num):
		w = v_num*mul
		for j in xrange(N,w-1,-1):
			tmp = ans[j-w]+mul
			if ans[j] > tmp: ans[j] = tmp
		num -= mul; mul *= 2
	if num > 0:
		w = v_num*num
		for j in xrange(N,w-1,-1):
			tmp = ans[j-w]+num
			if ans[j] > tmp: ans[j] = tmp
			
for i in xrange(1,N+1):
	print ans[i]*(ans[i]<N)-1