#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define endl '\n' #define ALL(v) (v).begin(), (v).end() #define RALL(v) (v).rbegin(), (v).rend() #define UNIQ(v) (v).erase(unique((v).begin(), (v).end()), (v).end()) typedef long long ll; typedef long double ld; typedef pair P; typedef complex comp; typedef vector< vector > matrix; struct pairhash { public: template size_t operator()(const pair &x) const { size_t seed = hash()(x.first); return hash()(x.second) + 0x9e3779b9 + (seed<<6) + (seed>>2); } }; const int inf = 1e9 + 9; const ll mod = 1e9 + 7; const double eps = 1e-8; const double pi = acos(-1); int t; string s[100010]; ll mod_pow(ll x, ll n) { ll res = 1; while (n > 0) { if (n & 1) res = (res * x) % mod; x = (x * x) % mod; n >>= 1; } return res; } ll mod_inverse(ll x) { return mod_pow(x, mod-2); } const int max_n = 2000100; ll fact[max_n]; ll fact_inv[max_n]; void calc_fact() { fact[0] = 1; for (ll i = 1; i < max_n; i++) fact[i] = (fact[i-1] * i) % mod; fact_inv[max_n-1] = mod_inverse(fact[max_n-1]); for (ll i = max_n-2; i >= 0; i--) fact_inv[i] = (fact_inv[i+1] * (i+1)) % mod; } ll mod_comb(ll n, ll k) { if (n < 0 || k < 0 || n < k) return 0; return (fact[n] * fact_inv[k] % mod) * fact_inv[n-k] % mod; } ll mod_perm(ll n, ll k) { if (n < 0 || k < 0 || n < k) return 0; return fact[n] * fact_inv[n-k] % mod; } ll mod_hom(ll n, ll k) { if (n == 0 && k == 0) return 1; return mod_comb(n+k-1, k); } void solve() { calc_fact(); for (int i = 0; i < t; i++) { ll n = 0, k = 0; int j = 2; while (s[i][j] != ',') { n = 10 * n + s[i][j] - '0'; j++; } j++; while (s[i][j] != ')') { k = 10 * k + s[i][j] - '0'; j++; } switch(s[i][0]) { case 'C': cout << mod_comb(n, k) << endl; break; case 'P': cout << mod_perm(n, k) << endl; break; case 'H': cout << mod_hom(n, k) << endl; break; } } } void input() { cin >> t; for (int i = 0; i < t; i++) cin >> s[i]; } int main() { ios::sync_with_stdio(false); cin.tie(0); cout << fixed << setprecision(15); input(); solve(); }