#include <bits/stdc++.h>
using namespace std;
#include <atcoder/all>
#include <time.h> 
using namespace atcoder;
using ll = long long;
using vll = vector<ll>;
using vvll = vector<vll>;
using vvvll = vector<vvll>;
using vb = vector<bool>;
using vvb = vector<vb>;
using vvvb = vector<vvb>;
#define all(A) A.begin(),A.end()
#define rep(i, n) for (ll i = 0; i < (ll) (n); i++)
template<class T>
bool chmax(T& p, T q, bool C = 1) {
    if (C == 0 && p == q) {
        return 1;
    }
    if (p < q) {
        p = q;
        return 1;
    }
    else {
        return 0;
    }
}
template<class T>
bool chmin(T& p, T q, bool C = 1) {
    if (C == 0 && p == q) {
        return 1;
    }
    if (p > q) {
        p = q;
        return 1;
    }
    else {
        return 0;
    }
}
ll modPow(long long a, long long n, long long p) {
    if (n == 0) return 1; // 0乗にも対応する場合
    if (n == 1) return a % p;
    if (n % 2 == 1) return (a * modPow(a, n - 1, p)) % p;
    long long t = modPow(a, n / 2, p);
    return (t * t) % p;
}
ll cnt = 0;
ll gcd(ll(a), ll(b)) {
    cnt++;
    if (a == 0)return b;
    if (b == 0)return a;
    ll c = a;
    while (a % b != 0) {
        c = a % b;
        a = b;
        b = c;
    }
    return b;
}
ll sqrtz(ll N) {
    ll L = 0;
    ll R = sqrt(N) + 10000;
    while (abs(R - L) > 1) {
        ll mid = (R + L) / 2;
        if (mid * mid <= N)L = mid;
        else R = mid;
    }
    return L;
}

ll nzkon(ll N, ll K) {//
    return 0;
}


using mint = modint1000000007;
using vm = vector<mint>;
using vvm = vector<vm>;
using vvvm = vector<vvm>;


vector<mint> fact, factinv, inv;
const ll mod = 1e9 + 7;
void prenCkModp(ll n) {
    fact.resize(n + 5);
    factinv.resize(n + 5);
    inv.resize(n + 5);
    fact[0] = fact[1] = 1;
    factinv[0] = factinv[1] = 1;
    inv[1] = 1;
    for (ll i = 2; i < n + 5; i++) {
        fact[i] = (fact[i - 1] * i);
        inv[i] = (mod - ((inv[mod % i] * (mod / i))));
        factinv[i] = (factinv[i - 1] * inv[i]);
    }
}
mint nCk(ll n, ll k) {
    if (n < k || k < 0) return 0;
    return (fact[n] * ((factinv[k] * factinv[n - k])));
}


bool DEB = 0;

template<class T>
vector<vector<T>> rot(vector<vector<T>>& A) {
    ll H = A.size();
    ll W = A[0].size();
    assert(H == W);
    vector<vector<T>> res(W, vector<T>(H, 0));
    rep(h, H)rep(w, W) {
        res[w][h] = A[h][W - w - 1];
    }
    return res;
}


int main() {

    //cin.tie(nullptr);
    //ios::sync_with_stdio(false);

    ll N, M;
    cin >> N >> M;
    vvll A(N);
    vll L(N, 0);
    vm P(N, 1);
    mint p = mint(1) / mint(2);
    rep(i, N) {
        A[i] = { i };
        L[i] = i;
    }
    rep(i, M) {
        ll U, V;
        cin >> U >> V;
        U--; V--;
        if (A[L[U]].size() < A[L[V]].size()) {
            ll er = L[U];
            for (auto a : A[L[U]]) {
                P[a] = 0;
                A[L[V]].push_back(a);
                L[a] = L[V];
            }
            A[er].clear();
        }
        else if (A[L[U]].size() > A[L[V]].size()) {
            ll er = L[V];
            for (auto a : A[L[V]]) {
                P[a] = 0;
                A[L[U]].push_back(a);
                L[a] = L[U];
            }
            A[er].clear();
        }
        else {
            ll er = L[U];
            for (auto a : A[L[V]])P[a] *= p;
            for (auto a : A[L[U]]) {
                P[a] *= p;
                A[L[V]].push_back(a);
                L[a] = L[V];
            }
            A[er].clear();
        }
    }
    rep(i, N)cout << P[i].val() << endl;

}