class UnionFind(): def __init__(self, n): self.n = n self.par = [-1] * self.n def find(self, x): r = x while not self.par[r] < 0: r = self.par[r] t = x while t != r: m = t t = self.par[t] self.par[m] = r return r def unite(self, x, y): p = self.find(x) q = self.find(y) if p == q: return None if self.par[p] >= self.par[q]: p, q = q, p self.par[p] += self.par[q] self.par[q] = p def same(self, x, y): return self.find(x) == self.find(y) def size(self, x): return -self.par[self.find(x)] #拡張Euclidの互除法 def extgcd(a, b, d = 0): g = a if b == 0: x, y = 1, 0 else: x, y, g = extgcd(b, a % b) x, y = y, x - a // b * y return x, y, g #mod p における逆元 def invmod(a, p): x, y, g = extgcd(a, p) x %= p return x mod = 10 ** 9 + 7 n, m = map(int, input().split()) UF = UnionFind(n) g = [[i] for i in range(n)] ans = [1] * n inv2 = invmod(2, mod) for _ in range(m): a, b = map(int, input().split()) a -= 1; b -= 1 if UF.same(a, b): continue if UF.size(a) > UF.size(b): a, b = b, a pa, pb = UF.find(a), UF.find(b) if UF.size(a) < UF.size(b): for i in g[pa]: ans[i] = 0 else: for i in g[pa]: g[pb].append(i) for i in g[pb]: ans[i] *= inv2 ans[i] %= mod UF.unite(a, b) for i in ans: print(i)