#define PROBLEM "https://yukicoder.me/problems/no/117" #include #include #include constexpr long long _ModCalculator_MOD = 1e9 + 7; class ModCalculator { const long long m_mod; const std::vector m_fac; const std::vector m_finv; auto constructFac(long long s) { std::vector fac(s); fac[0] = fac[1] = 1; for(long long i = 2; i < s; ++i) { fac[i] = fac[i - 1] * i; if(fac[i] > m_mod) { fac[i] %= m_mod; } } return fac; } auto constructInv(long long s) { std::vector finv(s); finv[s - 1] = this->pow(m_fac[s - 1], m_mod - 2); for(long long i = s - 2; i >= 0; --i) { finv[i] = finv[i + 1] * (i + 1); if(finv[i] > m_mod) { finv[i] %= m_mod; } } return finv; } public: ModCalculator(long long mod = _ModCalculator_MOD, long long size = 3 * 1e6) : m_mod(mod), m_fac(constructFac(size)), m_finv(constructInv(size)) { } long long pow(long long a, long long b) const { a %= m_mod; long long ans = 1; while(b > 0) { if(b & 1) { ans *= a; if(ans >= m_mod) { ans %= m_mod; } } b >>= 1; a *= a; if(a >= m_mod) { a %= m_mod; } } return ans; } auto fact(int n) const { if(n < 0) { return 0LL; } return m_fac[n]; } auto factInv(int n) const { if(n < 0) { return 0LL; } return m_finv[n]; } auto comb(int n, int r) const { auto val = fact(n) * factInv(r); if(val >= m_mod) { val %= m_mod; } val *= factInv(n - r); if(val >= m_mod) { val %= m_mod; } return val; } auto perm(int n, int r) const { auto val = fact(n) * factInv(n - r); if(val >= m_mod) { val %= m_mod; } return val; } }calc; using ll = long long; using std::cout; using std::cin; constexpr char endl = '\n'; struct Preprocessing { Preprocessing() { std::cin.tie(0); std::ios::sync_with_stdio(0); }; }_Preprocessing; auto parse(const std::string s) { ll a = 0, b = 0; bool isa = true; for(unsigned int i = 2; i < s.size() - 1; ++i) { if(s[i] == ',') { isa = false; continue; } auto& x = ((isa) ? a : b); x = 10 * x + (s[i] - '0'); } return std::pair{a, b}; } signed main() { ll t; cin >> t; constexpr ll MOD = 1e9 + 7; auto calc = ModCalculator(MOD); for(int _ = 0; _ < t; ++_) { std::string s; cin >> s; auto [n, k] = parse(s); if(s[0] == 'C') { cout << calc.comb(n, k) << endl; } else if(s[0] == 'P') { cout << calc.perm(n, k) << endl; } else { cout << calc.comb(std::max(0LL, n + k - 1), k) << endl; } } }