import sys input = sys.stdin.readline sys.setrecursionlimit(10**7) mod = 10 ** 9 + 7 inv = pow(2, mod - 2, mod) class UnionFind(): def __init__(self, n=1): self.par = [i for i in range(n)] self.rank = [0 for _ in range(n)] self.size = [1 for _ in range(n)] self.st = [set([i]) for i in range(n)] self.ans = [1 for _ in 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: if self.size[x] == self.size[y]: for sx in self.st[x]: self.ans[sx] *= inv self.ans[sx] %= mod for sy in self.st[y]: self.ans[sy] *= inv self.ans[sy] %= mod elif self.size[x] < self.size[y]: for sx in self.st[x]: self.ans[sx] = 0 x, y = y, x else: for sy in self.st[y]: self.ans[sy] = 0 self.par[y] = x self.size[x] += self.size[y] while self.st[y]: self.st[x].add(self.st[y].pop()) def is_same(self, x, y): return self.find(x) == self.find(y) def get_size(self, x): x = self.find(x) return self.size[x] N, M = map(int, input().split()) U = UnionFind(N) for i in range(M): a, b = map(int, input().split()) a, b = a - 1, b - 1 U.union(a, b) for a in U.ans: print(a)