from collections import deque, Counter
from sys import stdin, stdout
ss = [map(int, s.split()) for s in stdin.readlines()]
n, m = ss[0]
n1 = n+1
g = [[] for i in xrange(n1)]
for u, v in ss[1:]:
    g[u].append(v)
    g[v].append(u)

ct = Counter()

deq = deque()
clear = deq.clear
pop = deq.pop
popleft = deq.popleft
append = deq.append

used = [1]+[0]*n
for i in xrange(n1):
    if not used[i]:
        used[i] = 1
        cnt = 1
        append(i)
        while deq:
            v = popleft()
            for t in g[v]:
                if not used[t]:
                    used[t] = 1
                    append(t)
                    cnt += 1
        ct[cnt] += 1

dp = [-1]+[n]*n
for i, c in ct.items():
    for a in xrange(i):
        clear()
        for j in xrange((n-a)/i+1):
            idx = j*i+a
            p = (dp[idx]-j, -j)
            while deq and p <= deq[-1]:
                pop()
            append(p)
            v, u = deq[0]
            dp[idx] = v + j
            if c==j+u:
                popleft()

dp = [v if v!=n else -1 for v in dp]
stdout.write("\n".join(map(str, dp[1:])) + "\n")