/* Problem URL: https://codeforces.com/problemset/problem/2127/D */ #include #include #include using namespace std; using namespace __gnu_pbds; template > using ordered_set = tree; #define V vector #define rmin(a, b) a = min(a, b) #define rmax(a, b) a = max(a, b) #define rep(i, lim) for (int i = 0; i < (lim); i++) #define nrep(i, s, lim) for (int i = s; i < (lim); i++) #define repv(i, v) for (auto &i : (v)) #define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; } #define sortv(v) sort(v.begin(), v.end()) #define all(v) (v).begin(), (v).end() using vi = vector; using vvi = vector; using vvvi = vector; using vvvvi = vector; using ll = long long; using vl = vector; using vvl = vector; using vvvl = vector; using vvvvl = vector; template auto operator<<(ostream &os, const vector &vec)->ostream& { os << vec[0]; for (size_t i = 1; i < vec.size(); i++) { os << ' ' << vec[i]; } os << '\n'; return os; } template auto operator>>(istream &is, vector &vec)->istream& { for (auto &i : vec) { is >> i; } return is; } template auto operator<<(ostream &os, const vector> &vec)->ostream& { for (auto &i : vec) { os << i[0]; for (size_t j = 1; j < i.size(); j++) { os << ' ' << i[j]; } os << '\n'; } return os; } template auto operator>>(istream &is, vector> &vec)->istream& { for (auto &i : vec) { for (auto &j : i) { is >> j; } } return is; } const int oo = INT32_MAX >> 1; const ll OO = INT64_MAX >> 1; const ll mod = 1e9 + 7; constexpr int MAXN = 2e5 + 10; ll fact[MAXN]; void pre() { fact[0] = 1; nrep(i, 1, MAXN) { fact[i] = fact[i - 1] * i % mod; } } #define TEST 1 void solve() { int n, m; cin >> n >> m; if (m != n - 1) { while (m--) { int a, b; cin >> a >> b; } cout << "0\n"; return; } vvi graph(n); while (m--) { int a, b; cin >> a >> b; a--, b--; graph[a].push_back(b); graph[b].push_back(a); } vi g(n, -1); vi gr(n); vi cr; int c = 0; function dfs = [&](int i) { gr[i] = c; cr[c]++; repv(j, graph[i]){ if (g[j] == -1) { g[j] = g[i] ^ 1; if (!dfs(j)) { return false; } continue; } if (g[j] == g[i]) { return false; } } return true; }; auto fpow = [&](ll a, ll p) { ll ans = 1; rep(i, 61) { if ((p >> i) & 1) { (ans *= a) %= mod; } (a *= a) %= mod; } return ans; }; int c2 = 0; rep(i, n) { if (g[i] != -1) { continue; } g[i] = 0; cr.push_back(0); if (!dfs(i)) { cout << "0\n"; return; } c2 += cr[c] > 2; c++; } ll ans = fpow(2, c + c2); rep(i, n) { if (graph[i].size() <= 2) { continue; } int c1 = 0; repv(j, graph[i]) { c1 += graph[j].size() >= 2; } if (c1 > 2) { cout << "0\n"; return; } if (c1 == 0) { (ans *= fpow(2, mod - 2)) %= mod; } (ans *= fact[graph[i].size() - c1]) %= mod; } cout << ans << '\n'; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); pre(); int t; (TEST && cin >> t) || (t = 1); while (t--) { solve(); } }