#include #include typedef long long ll; using namespace std; const ll MOD = 1000000007LL; class Combination { public: vector fac, inv, fiv; Combination(int N) : fac(N + 1), inv(N + 1), fiv(N + 1) { fac[0] = inv[0] = fiv[0] = fac[1] = inv[1] = fiv[1] = 1; for (ll i = 2; i <= N; i++) { fac[i] = fac[i - 1] * i % MOD; // n! inv[i] = inv[MOD % i] * (MOD - MOD / i) % MOD; // n^-1 fiv[i] = fiv[i - 1] * inv[i] % MOD; // (n!)^-1 } } ll C(ll n, ll k) { if (k < 0 || n < k) return 0; return fac[n] * fiv[k] % MOD * fiv[n - k] % MOD; } ll P(ll n, ll k) { if (k < 0 || n < k) return 0; return fac[n] * fiv[n - k] % MOD; } ll H(ll n, ll k) { if (n == 0 && k == 0) return 1; return C(n + k - 1, k - 1); } }; // verified // https://yukicoder.me/problems/no/117 void yuki117() { int T; cin >> T; Combination com(2000005); for (int t = 0; t < T; t++) { string s; cin >> s; int n = 0, k = 0, i = 2; while (s[i] != ',') { n *= 10; n += s[i++] - '0'; } i++; while (s[i] != ')') { k *= 10; k += s[i++] - '0'; } if (s[0] == 'C') cout << com.C(n, k) << "\n"; else if (s[0] == 'P') cout << com.P(n, k) << "\n"; else cout << com.H(k, n) << "\n"; } } // verified // https://onlinejudge.u-aizu.ac.jp/courses/library/7/DPL/all/DPL_5_B void AOJ_DPL_5_B() { int n, k; cin >> n >> k; Combination com(k); cout << com.P(k, n) << "\n"; } // verified // https://onlinejudge.u-aizu.ac.jp/courses/library/7/DPL/5/DPL_5_C ll pow_mod(ll num, ll pow, ll mod) { ll prod = 1; num %= mod; while (pow > 0) { if (pow & 1) prod = prod * num % mod; num = num * num % mod; pow >>= 1; } return prod; } void AOJ_DPL_5_C() { int n, k; cin >> n >> k; Combination com(k); ll ans = 0; for (int i = 0; i < k; i++) { ll sgn = i % 2 == 0 ? 1 : -1; ans = (ans + MOD + sgn * com.C(k, k - i) * pow_mod(k - i, n, MOD) % MOD) % MOD; } cout << ans << "\n"; } // verified // https://onlinejudge.u-aizu.ac.jp/courses/library/7/DPL/5/DPL_5_D void AOJ_DPL_5_D() { int n, k; cin >> n >> k; Combination com(n + k); cout << com.H(n, k) << "\n"; } int main() { yuki117(); // AOJ_DPL_5_B(); // AOJ_DPL_5_C(); // AOJ_DPL_5_D(); return 0; }