#!/usr/bin/env pypy3 import array import re # Based on http://hos.ac/slides/20130319_enumeration.pdf class ModPrime(object): def __init__(self, p, limit=10**8, typecode="L"): assert limit >= 1 self.p = p self.current_limit = 0 self.typecode = typecode self.inv = array.array(typecode, (0, 1)) self.fact = array.array(typecode, (1,)) self.fact_inv = array.array(typecode, (1,)) self.calc(limit) def calc(self, new_limit): ex_len = new_limit - self.current_limit assert ex_len > 0 self.inv.extend(0 for _ in range(ex_len)) self.fact.extend(0 for _ in range(ex_len)) self.fact_inv.extend(0 for _ in range(ex_len)) for i in range(max(2, self.current_limit), new_limit + 1): self.inv[i] = self.p - self.p // i * self.inv[self.p % i] % self.p for i in range(max(1, self.current_limit), new_limit + 1): self.fact[i] = (self.fact[i - 1] * i) % self.p self.fact_inv[i] = (self.fact_inv[i - 1] * self.inv[i]) % self.p self.current_limit = new_limit def choose(self, n, k): if k < 0 or k > n: return 0 elif n < self.p: ans = self.fact[n] * self.fact_inv[k] ans %= self.p ans *= self.fact_inv[n - k] ans %= self.p return ans ans = 1 while k > 0: n0 = n % self.p k0 = k % self.p if n0 < k0: return 0 ans = ans * self.fact[n0] * self.fact_inv[k0] % self.p ans = ans * self.fact_inv[n0 - k0] % self.p % self.p n //= self.p k //= self.p return ans def permutation(self, n, k): if k < 0 or k > n: return 0 return self.fact[n] * self.fact_inv[n - k] def multi_choose(self, n, k): if n == 0 and k == 0: return 1 elif n <= 0 or k < 0: return 0 return self.choose(n + k - 1, k) def inverse(self, n): return self.inv[n] def factorial(self, n): return self.factorial[n] def factorial_inverse(self, n): return self.fact_inv[n] def main(): p = 10 ** 9 + 7 limit = 2 * 10 ** 6 + 10 mp = ModPrime(p, limit) ptn = re.compile(r"(?P[CPH])\((?P[0-9]+),(?P[0-9]+)\)") t = int(input()) for _ in range(t): mobj = re.match(ptn, input()) assert mobj is not None f = mobj.group("func") n = int(mobj.group("n")) k = int(mobj.group("k")) if f == "C": print(mp.choose(n, k)) elif f == "P": print(mp.permutation(n, k)) elif f == "H": print(mp.multi_choose(n, k)) else: assert False if __name__ == '__main__': main()