#line 1 "yuki117.test.cpp" #define PROBLEM "https://yukicoder.me/problems/no/117" #include using namespace std; #line 2 "/Users/siro53/kyo-pro/compro_library/modint/modint.hpp" #line 6 "/Users/siro53/kyo-pro/compro_library/modint/modint.hpp" template class ModInt { public: ModInt() : x(0) {} ModInt(long long y) : x(y >= 0 ? y % umod() : (umod() - (-y) % umod()) % umod()) {} unsigned int val() const { return x; } ModInt &operator+=(const ModInt &p) { if((x += p.x) >= umod()) x -= umod(); return *this; } ModInt &operator-=(const ModInt &p) { if((x += umod() - p.x) >= umod()) x -= umod(); return *this; } ModInt &operator*=(const ModInt &p) { x = (unsigned int)(1ULL * x * p.x % umod()); return *this; } ModInt &operator/=(const ModInt &p) { *this *= p.inv(); return *this; } ModInt operator-() const { return ModInt(-(long long)x); } ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; } ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; } ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; } ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; } bool operator==(const ModInt &p) const { return x == p.x; } bool operator!=(const ModInt &p) const { return x != p.x; } ModInt inv() const { long long a = x, b = mod, u = 1, v = 0, t; while(b > 0) { t = a / b; std::swap(a -= t * b, b); std::swap(u -= t * v, v); } return ModInt(u); } ModInt pow(unsigned long long n) const { ModInt ret(1), mul(x); while(n > 0) { if(n & 1) ret *= mul; mul *= mul; n >>= 1; } return ret; } friend std::ostream &operator<<(std::ostream &os, const ModInt &p) { return os << p.x; } friend std::istream &operator>>(std::istream &is, ModInt &a) { long long t; is >> t; a = ModInt(t); return (is); } static constexpr int get_mod() { return mod; } private: unsigned int x; static constexpr unsigned int umod() { return mod; } }; #line 2 "/Users/siro53/kyo-pro/compro_library/math/binom.hpp" #line 6 "/Users/siro53/kyo-pro/compro_library/math/binom.hpp" template class Binomial { public: explicit Binomial(): Binomial(1) {} explicit Binomial(int MAX) : f(MAX, mint(1)), f_inv(MAX, mint(1)) { for(int i = 1; i < MAX; i++) f[i] = f[i-1] * mint(i); f_inv[MAX - 1] = f[MAX - 1].inv(); for(int i = MAX - 2; i >= 1; i--) { f_inv[i] = f_inv[i + 1] * mint(i + 1); } } void extend() { int n = (int)f.size(); f.resize(n * 2); f_inv.resize(n * 2); for(int i = n; i < n * 2; i++) f[i] = f[i - 1] * mint(i); f_inv[n * 2 - 1] = f[n * 2 - 1].inv(); for(int i = n * 2 - 2; i >= n; i--) { f_inv[i] = f_inv[i + 1] * mint(i + 1); } } mint fac(int n) { if(n < 0) return mint(0); while(n >= (int)f.size()) extend(); return f[n]; } mint fac_inv(int n) { if(n < 0) return mint(0); while(n >= (int)f_inv.size()) extend(); return f_inv[n]; } mint inv(int n) { if(n < 0) return -mint(-n); assert(n != 0); while(n >= (int)f_inv.size()) extend(); return (f_inv[n] * f[n - 1]); } mint binom(int n, int k) { if(n < k || n < 0 || k < 0) return mint(0); return (fac(n) * fac_inv(k) * fac_inv(n - k)); } mint binom_naive(long long n, long long k) { if(n < k || n < 0 || k < 0) return mint(0); mint res(1); k = std::min(k, n - k); for(int i = 0; i < k; i++) res *= inv(i + 1) * mint(n - i); return res; } mint perm(int n, int k) { if(n < k || n < 0 || k < 0) return mint(0); return (fac(n) * fac_inv(n - k)); } mint hom(int n, int k) { if(n < 0 || k < 0) return mint(0); return (k == 0 ? mint(1) : binom(n + k - 1, k)); } private: std::vector f, f_inv; }; #line 6 "yuki117.test.cpp" using mint = ModInt<1000000007>; int main() { int T; scanf("%d\n", &T); Binomial binom; while(T--) { char t; int N, K; scanf("%c(%d,%d)\n", &t, &N, &K); if(t == 'C') { printf("%u\n", binom.binom(N, K).val()); } else if(t == 'P') { printf("%u\n", binom.perm(N, K).val()); } else if(t == 'H') { printf("%u\n", binom.hom(N, K).val()); } } }