from collections import deque
from sys import stdin, stdout
readline = stdin.readline
inputs = lambda: map(int, readline().split())
n, m = inputs()
g = [[] for i in xrange(n)]
for i in xrange(m):
    u, v = inputs()
    u -= 1; v -= 1
    g[u].append(v)
    g[v].append(u)

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

cs.sort()
m = []
p = cs[0]
e = 0
for c in cs:
    if p==c:
        e += 1
    else:
        m.append((p, e))
        p = c
        e = 1
m.append((p, e))
dp = [n]*(n+1)
dp[0] = -1
deq = deque()
for i, c in m:
    for a in xrange(i):
        deq.clear()
        j = 0
        while j*i+a<=n:
            val = dp[j*i+a] - j
            while deq and deq[-1][1] >= val:
                deq.pop()
            deq.append((j, val))
            u, v = deq[0]
            dp[j*i+a] = v + j
            if u==j-c:
                deq.popleft()
            j += 1

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