from collections import deque from sys import stdin, stdout, setrecursionlimit setrecursionlimit(10**6) 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() l = len(cs) dp = [n]*(n+1) def dfs(c, s, e): if c==l: return for i in xrange(c,l): cc = cs[i] if e < dp[s+cc]: dp[s+cc] = e+1 dfs(i+1, s+cc, e+1) dfs(0, 0, -1) for i in xrange(n): if dp[i]==n: dp[i] = -1 stdout.write("\n".join(map(str, dp[1:])) + "\n")