from collections import Counter class UnionFind: def __init__(self, n): self.par = list(range(n)) def find(self, x): if self.par[x] == x: return x else: self.par[x] = self.find(self.par[x]) return self.par[x] def union(self, x, y): x = self.find(x) y = self.find(y) if x == y: return self.par[x] = y def solve(): N, M = map(int, input().split()) uf = UnionFind(N) for i in range(M): u, v = map(int, input().split()) uf.union(u - 1, v - 1) for i in range(N): uf.find(i) co = Counter(uf.par) gs = [] for k in co: gs.append(co[k]) inf = float('inf') dp = [inf] * (N + 1) dp[0] = -1 for g in gs: for i in range(N, -1, -1): if dp[i] != inf and i + g <= N: dp[i + g] = min(dp[i + g], dp[i] + 1) for i in range(1, N + 1): print(dp[i] if dp[i] < inf else -1) if __name__ == '__main__': solve()