class UnionFind:
    def __init__(self, n):
        self.n = n
        self.parents = [-1] * n
        self.group = n

    def find(self, x):
        if self.parents[x] < 0:
            return x
        else:
            self.parents[x] = self.find(self.parents[x])
            return self.parents[x]

    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)

        if x == y:
            return False
        self.group -= 1
        if self.parents[x] > self.parents[y]:
            x, y = y, x

        self.parents[x] += self.parents[y]
        self.parents[y] = x
        return True

    def size(self, x):
        return -self.parents[self.find(x)]

    def same(self, x, y):
        return self.find(x) == self.find(y)

    def members(self, x):
        root = self.find(x)
        return [i for i in range(self.n) if self.find(i) == root]

    def roots(self):
        return [i for i, x in enumerate(self.parents) if x < 0]

    def group_count(self):
        return self.group

    def all_group_members(self):
        dic = {r:[] for r in self.roots()}
        for i in range(self.n):
            dic[self.find(i)].append(i)
        return dic

    def __str__(self):
        return '\n'.join('{}: {}'.format(r, self.members(r)) for r in self.roots())

n, m = map(int, input().split())
UF = UnionFind(n)
for _ in range(m):
    u, v = map(int, input().split())
    UF.union(u - 1, v - 1)

cnt = {}
for r in UF.roots():
    s = UF.size(r)
    cnt[s] = cnt.get(s, 0) + 1

dp = [1 << 60] * (n + 1)
dp[0] = 0
for k, v in cnt.items():
    c = 1
    while v > 0:
        w = min(c, v)
        v -= c
        c *= 2

        for i in range(n, k * w - 1, -1):
            dp[i] = min(dp[i], dp[i - k * w] + w)

for i in range(1, n + 1):
    if dp[i] == 1 << 60:
        print(-1)
    else:
        print(dp[i] - 1)