import sys

# sys.setrecursionlimit(200005)
# sys.set_int_max_str_digits(200005)
int1 = lambda x: int(x)-1
pDB = lambda *x: print(*x, end="\n", file=sys.stderr)
p2D = lambda x: print(*x, sep="\n", end="\n\n", file=sys.stderr)
def II(): return int(sys.stdin.readline())
def LI(): return list(map(int, sys.stdin.readline().split()))
def LLI(rows_number): return [LI() for _ in range(rows_number)]
def LI1(): return list(map(int1, sys.stdin.readline().split()))
def LLI1(rows_number): return [LI1() for _ in range(rows_number)]
def SI(): return sys.stdin.readline().rstrip()

dij = [(0, 1), (-1, 0), (0, -1), (1, 0)]
# dij = [(0, 1), (-1, 0), (0, -1), (1, 0), (1, 1), (1, -1), (-1, 1), (-1, -1)]
# inf = -1-(-1 << 31)
inf = -1-(-1 << 63)
md = 10**9+7
# md = 998244353

class UnionFind:
    def __init__(self, n):
        self._tree = [-1]*n
        # number of connected component
        self.cnt = n
        self._top = list(range(n))

    def root(self, u):
        stack = []
        while self._tree[u] >= 0:
            stack.append(u)
            u = self._tree[u]
        for v in stack: self._tree[v] = u
        return u

    def same(self, u, v):
        return self.root(u) == self.root(v)

    def merge(self, u, v, i):
        u, v = self.root(u), self.root(v)
        self._top[u] = self._top[v] = i
        if u == v: return False
        if self._tree[u] > self._tree[v]: u, v = v, u
        self._tree[u] += self._tree[v]
        self._tree[v] = u
        self.cnt -= 1
        return True

    # size of connected component
    def size(self, u):
        return -self._tree[self.root(u)]

    def top(self, u):
        return self._top[self.root(u)]

n, m = LI()
uf = UnionFind(n)
dp = [0]*(n+m)
to = [[] for _ in range(n+m)]
for i in range(m):
    a, b = LI1()
    u, v = uf.top(a), uf.top(b)
    if u == v:
        to[i+n].append(u)
    else:
        to[i+n] += [u, v]
        su = uf.size(a)
        sv = uf.size(b)
        if su == sv: dp[i+n] = 1
        if su < sv: dp[u] = -1
        if su > sv: dp[v] = -1
    uf.merge(a, b, i+n)

fin = [0]*(n+m)
for u in range(n+m)[::-1]:
    if fin[u]: continue
    st = [u]
    while st:
        u = st.pop()
        fin[u] = 1
        for v in to[u]:
            if dp[u] == -1 or dp[v] == -1:
                dp[v] = -1
            else:
                dp[v] += dp[u]
            st.append(v)

inv = (md+1)//2
for d in dp[:n]:
    if d == -1:
        print(0)
    else:
        print(pow(inv, d, md))