#include<bits/stdc++.h>
#include<atcoder/all>
using namespace std;
using namespace atcoder;
#define rep(i,n)for (int i = 0; i < int(n); ++i)
#define rrep(i,n)for (int i = int(n)-1; i >= 0; --i)
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
template<class T> void chmax(T& a, const T& b) {a = max(a, b);}
template<class T> void chmin(T& a, const T& b) {a = min(a, b);}
using ll = long long;
using P = pair<int,int>;
using VI = vector<int>;
using VVI = vector<VI>;
using VL = vector<ll>;
using VVL = vector<VL>;
using mint = modint1000000007;

int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    int n, m;
    cin >> n >> m;
    VVI to(n + m);
    VI r(n);
    iota(all(r), 0);
    set<int> roots;
    rep(i, n) roots.insert(i);
    dsu d(n);
    rep(im, m) {
        int a, b;
        cin >> a >> b;
        a = d.leader(a - 1), b = d.leader(b - 1);
        if (a == b) continue;
        int sza = d.size(a), szb = d.size(b);
        if (sza < szb) swap(a, b);
        d.merge(a, b);
        int ra = r[a], rb = r[b];
        r[a] = n + im;
        roots.erase(ra), roots.erase(rb);
        roots.insert(n + im);
        to[n + im].push_back(ra);
        if (sza == szb) {
            to[n + im].push_back(rb);
        }
    }
    mint inv2 = mint(1) / 2;
    vector<mint> ans(n);
    for(int s: roots) {
        auto dfs = [&](auto&& self, int u, mint p) {
            if (u < n) {
                ans[u] = p;
                return;
            }
            if (to[u].size() == 2) p *= inv2;
            for(int v: to[u]) self(self, v, p);
        };
        dfs(dfs, s, 1);
    }
    rep(i, n) cout << ans[i].val() << '\n';
}