#include #include typedef long long int ll; using namespace std; typedef pair P; using namespace atcoder; template using min_priority_queue = priority_queue, greater>; #define USE998244353 #ifdef USE998244353 const ll MOD = 998244353; // const double PI = 3.1415926535897932; using mint = modint998244353; #else const ll MOD = 1000000007; using mint = modint1000000007; #endif #pragma region //使いがち const int MAX = 2000001; long long fac[MAX], finv[MAX], inv[MAX]; void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++){ fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD%i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } long long COM(int n, int k){ if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } ll gcd(ll x, ll y) { if (y == 0) return x; else if (y > x) { return gcd (y, x); } else return gcd(x % y, y); } ll lcm(ll x, ll y) { return x / gcd(x, y) * y; } ll my_sqrt(ll x) { // ll m = 0; ll M = 3000000001; while (M - m > 1) { ll now = (M + m) / 2; if (now * now <= x) { m = now; } else { M = now; } } return m; } ll keta(ll num, ll arity) { ll ret = 0; while (num) { num /= arity; ret++; } return ret; } ll ceil(ll n, ll m) { // n > 0, m > 0 ll ret = n / m; if (n % m) ret++; return ret; } ll pow_ll(ll x, ll n) { if (n == 0) return 1; if (n % 2) { return pow_ll(x, n - 1) * x; } else { ll tmp = pow_ll(x, n / 2); return tmp * tmp; } } vector compress(vector& v) { // [3 5 5 6 1 1 10 1] -> [1 2 2 3 0 0 4 0] vector u = v; sort(u.begin(), u.end()); u.erase(unique(u.begin(),u.end()),u.end()); map mp; for (int i = 0; i < u.size(); i++) { mp[u[i]] = i; } for (int i = 0; i < v.size(); i++) { v[i] = mp[v[i]]; } return v; } vector Eratosthenes( const ll N ) { vector is_prime( N + 1 ); for( ll i = 0; i <= N; i++ ) { is_prime[ i ] = true; } vector P; for( ll i = 2; i <= N; i++ ) { if( is_prime[ i ] ) { for( ll j = 2 * i; j <= N; j += i ) { is_prime[ j ] = false; } P.emplace_back( i ); } } return P; } #pragma endregion int main() { int t; cin >> t; for (int t_i = 0; t_i < t; t_i++) { ll n, m; cin >> n >> m; mint x[3][3]; x[2][2] = (n * (n - 3) / 2 - 2 * (n - 3) + 1); x[2][1] = n - 2; x[2][0] = 1; x[1][2] = n * (n - 3) / 2 - (n - 3); x[1][1] = n - 1; x[1][0] = 1; x[0][2] = n * (n - 3) / 2; x[0][1] = n; x[0][0] = 1; if (n <= 3) { x[0][2] = 0; x[1][2] = 0; x[2][2] = 0; x[2][0] = 0; x[2][1] = 0; } vector> dp(m + 1, vector(3)); dp[0][0] = 1; dp[0][1] = 0; dp[0][2] = 0; for (int i = 1; i <= m; i++) { for (int j = 0; j < 3; j++) { for (int k = 0; k < 3; k++) { dp[i][k] += dp[i - 1][j] * x[j][k]; } } } mint ans = dp[m][0] + dp[m][1] + dp[m][2]; cout << ans.val() << '\n'; } return 0; }