class Combinatorics(): def __init__(self, mod, maxi = 3 * 10 ** 6): self.mod = mod self.maxi = maxi self.facs = [1, 1] self.factinvs = [1, 1] self.invs = [0, 1] for i in range(2, self.maxi + 1): self.facs.append((self.facs[-1] * i) % self.mod) self.invs.append((-self.invs[self.mod % i] * (self.mod // i)) % self.mod) self.factinvs.append((self.factinvs[-1] * self.invs[-1]) % self.mod) def choose(self, n, k) -> int: if k < 0 or k > n: return 0 if k == 0 or k == n: return 1 k = min(k, n - k) return (((self.facs[n] * self.factinvs[k]) % self.mod) * self.factinvs[n-k]) % self.mod def perm(self, n, k) -> int: return (self.choose(n, k) * self.facs[k]) % self.mod def homop(self, n, k) -> int: if n == k == 0: return 1 return self.choose(n + k - 1, k) class BinomialCoefficient(): def __init__(self, mod, maxi = 3 * 10 ** 6): self.mod = mod self.maxi = maxi self.facs = [1, 1] self.factinvs = [1, 1] self.invs = [0, 1] for i in range(2, self.maxi + 1): self.facs.append((self.facs[-1] * i) % self.mod) self.invs.append((-self.invs[self.mod % i] * (self.mod // i)) % self.mod) self.factinvs.append((self.factinvs[-1] * self.invs[-1]) % self.mod) def choose(self, n, k) -> int: if k < 0 or k > n: return 0 if k == 0 or k == n: return 1 k = min(k, n - k) return (((self.facs[n] * self.factinvs[k]) % self.mod) * self.factinvs[n-k]) % self.mod def perm(self, n, k) -> int: return (self.choose(n, k) * self.facs[k]) % self.mod def homop(self, n, k) -> int: if n == k == 0: return 1 return self.choose(n + k - 1, k) mod = 10 ** 9 + 7 C = BinomialCoefficient(mod) for _ in range(int(input())): s = input() n, k = map(int,s[2:-1].split(",")) if s[0] == 'C': print(C.choose(n, k)) if s[0] == 'P': print(C.perm(n, k)) if s[0] == 'H': print(C.homop(n, k))