import sys

# sys.setrecursionlimit(200005)
int1 = lambda x: int(x)-1
pDB = lambda *x: print(*x, end="\n", file=sys.stderr)
p2D = lambda x: print(*x, sep="\n", end="\n\n", file=sys.stderr)
def II(): return int(sys.stdin.readline())
def LI(): return list(map(int, sys.stdin.readline().split()))
def LLI(rows_number): return [LI() for _ in range(rows_number)]
def LI1(): return list(map(int1, sys.stdin.readline().split()))
def LLI1(rows_number): return [LI1() for _ in range(rows_number)]
def SI(): return sys.stdin.readline().rstrip()

dij = [(0, 1), (-1, 0), (0, -1), (1, 0)]
# dij = [(0, 1), (-1, 0), (0, -1), (1, 0), (1, 1), (1, -1), (-1, 1), (-1, -1)]
inf = (1 << 63)-1
# inf = (1 << 31)-1
md = 10**9+7
# md = 998244353

from collections import Counter, deque

class UnionFind:
    def __init__(self, n):
        self.state = [-1]*n
        self.size_table = [1]*n
        self.cnt = n

    def root(self, u):
        stack = []
        while self.state[u] >= 0:
            stack.append(u)
            u = self.state[u]
        for v in stack: self.state[v] = u
        return u

    def same(self, u, v):
        return self.root(u) == self.root(v)

    def merge(self, u, v):
        u = self.root(u)
        v = self.root(v)
        if u == v: return False
        du = -self.state[u]
        dv = -self.state[v]
        if du < dv: u, v = v, u
        if du == dv: self.state[u] -= 1
        self.state[v] = u
        self.cnt -= 1
        self.size_table[u] += self.size_table[v]
        return True

    def size(self, u):
        return self.size_table[self.root(u)]

n, m = LI()
uf = UnionFind(n)
for _ in range(m):
    u, v = LI1()
    uf.merge(u, v)

seen = set()
cnt = Counter()
for u in range(n):
    r = uf.root(u)
    if r in seen: continue
    seen.add(r)
    cnt[uf.size(r)] += 1
# pDB(cnt)

def push(i):
    val = dp[i]*s-i
    while mns and mns[-1][-1] >= val: mns.pop()
    mns.append((i, val))

dp = [-1]+[inf]*n
for s, c in cnt.items():
    for si in range(s):
        mns = deque()
        for k in range(c-1):
            j = n-si-s*(k+1)
            if j < 0 or dp[j] == inf: continue
            push(j)
        for i in range(n-si, s-2, -s):
            while mns and mns[0][0] > i-s: mns.popleft()
            if i-s*c >= 0: push(i-s*c)
            if mns: dp[i] = min(dp[i], (mns[0][1]+i)//s)

for i in range(n):
    if dp[i] == inf: dp[i] = -1
print(*dp[1:], sep="\n")