from collections import defaultdict import sys from collections import defaultdict, Counter, deque from itertools import permutations, combinations, product, combinations_with_replacement, groupby, accumulate import operator from math import sqrt, gcd, factorial # from math import isqrt, prod,comb # python3.8用(notpypy) #from bisect import bisect_left,bisect_right #from functools import lru_cache,reduce from heapq import heappush, heappop, heapify, heappushpop, heapreplace #import numpy as np #import networkx as nx #from networkx.utils import UnionFind #from numba import njit, b1, i1, i4, i8, f8 #from scipy.sparse import csr_matrix #from scipy.sparse.csgraph import shortest_path, floyd_warshall, dijkstra, bellman_ford, johnson, NegativeCycleError # numba例 @njit(i1(i4[:], i8[:, :]),cache=True) 引数i4配列、i8 2次元配列,戻り値i1 def input(): return sys.stdin.readline().rstrip() def divceil(n, k): return 1+(n-1)//k # n/kの切り上げを返す def yn(hantei, yes='Yes', no='No'): print(yes if hantei else no) # https://note.nkmk.me/python-union-find/から一部改変 class UnionFind(): def __init__(self, n): self.n = n self.parents = [-1] * n self.group_num = n self.tournament=[0]*n def find(self, x, y=0): if self.parents[x] < 0: return x, y+self.tournament[x] else: return self.find(self.parents[x], y+self.tournament[x]) def union(self, x, y): x,_ = self.find(x) y,_ = self.find(y) if x == y: return self.group_num -= 1 if self.parents[x] > self.parents[y]: x, y = y, x if self.parents[x] == self.parents[y]: self.tournament[x] = 1 self.tournament[y] = 1 self.tournament.append(0) self.parents.append(self.parents[x]+self.parents[y]) self.parents[x] = len(self.parents)-1 self.parents[y] = len(self.parents)-1 else: self.tournament[y] -= 10**9 self.parents[x] += self.parents[y] self.parents[y] = x 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_num def all_group_members(self): self.all_group_member = defaultdict(list) for i in range(self.n): self.all_group_member[self.find(i)].append(i) return self.all_group_member def __str__(self): return '\n'.join('{}: {}'.format(r, self.members(r)) for r in self.roots()) def main(): mod = 10**9+7 mod2 = 998244353 n,m=map(int, input().split()) uf=UnionFind(n) for i in range(m): a,b=map(lambda x: int(x)-1, input().split()) uf.union(a,b) #print(uf.tournament) for i in range(n): root,t=uf.find(i) if t>=0: print(pow(2,-t,mod)) else: print(0) if __name__ == '__main__': main()