#include "bits/stdc++.h" #include "atcoder/all" using namespace std; using namespace atcoder; using mint = modint1000000007; const int mod = 1000000007; //using mint = modint998244353; //const int mod = 998244353; //const int INF = 1e9; //const long long LINF = 1e18; #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep2(i,l,r)for(int i=(l);i<(r);++i) #define rrep(i, n) for (int i = (n-1); i >= 0; --i) #define rrep2(i,l,r)for(int i=(r-1);i>=(l);--i) #define all(x) (x).begin(),(x).end() #define allR(x) (x).rbegin(),(x).rend() #define endl "\n" mint ans[100005]; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int N, M; cin >> N >> M; vector>st(N); rep(i, N) { st[i].insert(i); } rep(i, N) { ans[i] = 1; } dsu uf(N); rep(i, M) { int a, b; cin >> a >> b; a--; b--; int x = uf.leader(a); int y = uf.leader(b); if (x == y) { continue; } if (uf.size(a) > uf.size(b)) { for (auto s : st[y]) { ans[s] = 0; } } else if (uf.size(a) < uf.size(b)) { for (auto s : st[x]) { ans[s] = 0; } } else { for (auto s : st[x]) { ans[s] /= 2; } for (auto s : st[y]) { ans[s] /= 2; } } uf.merge(a, b); if (x == uf.leader(a)) { for (auto s : st[y]) { st[x].insert(s); } } else { for (auto s : st[x]) { st[y].insert(s); } } } rep(i, N) { cout << ans[i].val() << endl; } return 0; }