#include using namespace std; using ll = long long; using VI = vector; using VL = vector; using VS = vector; using VVI = vector; using VVL = vector; using PII = std::pair; using PLL = std::pair; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n)-1; i >= 0; i--) #define rep2(i, s, n) for (int i = (s); i < (int)(n); i++) #define rep3(i, s, n, d) for (int i = (s); i < (int)(n); i += (d)) #define allpt(v) (v).begin(), (v).end() #define allpt_c(v) (v).cbegin(), (v).cend() #define allpt_r(v) (v).rbegin(), (v).rend() const int mod = 1e9 + 7, mod2 = 998244353, mod3 = 1e9 + 9; const ll inf = 1e18; const string wsp = " "; const string tb = "\t"; const string rt = "\n"; template void show1dvec(const vector &v) { if (v.size() == 0) return; int n = v.size() - 1; rep(i, n) cout << v[i] << wsp; cout << v[n] << rt; return; } template void show2dvec(const vector> &v) { int n = v.size(); rep(i, n) show1dvec(v[i]); } template void show1dpair(const vector> &v) { int n = v.size(); rep(i, n) cout << v[i].first << wsp << v[i].second << rt; return; } template void pairzip(const vector> &v, vector &t, vector &s) { int n = v.size(); rep(i, n) { t.push_back(v[i].first); s.push_back(v[i].second); } return; } template void maxvec(vector &v) { T s = v[0]; int n = v.size(); rep(i, n - 1) { if (s > v[i + 1]) { v[i + 1] = s; } s = v[i + 1]; } } template bool myfind(T t, S s) { return find(t.cbegin(), t.cend(), s) != t.cend(); } bool check(int y, int x, int h, int w) { return 0 <= y && y < h && 0 <= x && x < w; } template vector cumsum(const vector &v) { T s = 0; vector ret; rep(i, v.size()) { s += v[i]; s %= mod; ret.emplace_back(s); } return ret; } bool iskadomatsu(int a, int b, int c) { return (a != b && b != c && c != a) && ((a > b && b < c) || (a < b && b > c)); } VS split(string s, char c) { VS ret; string part; s += c; rep(i, s.length()) { if (s[i] == c) { ret.emplace_back(part); part = ""; } else if (s[i] != c) { part += s[i]; } } return ret; } string removezero(string &s) { string ret; for (auto z : s) if (z != '0') ret += z; return ret; } ll sumdigit(ll x) { ll ans{0}; while (x > 0) { ans += x % 10; x /= 10; } return ans; } template ll pow_mod(T p, S q, R mod) { ll ret = 1, r = p; while (q) { if (q % 2) ret *= r, ret %= mod; r = (r * r) % mod, q /= 2; } return ret % mod; } ll comb(int a, int b, const VL &frac_list, const VL &frac_inv_list) { if (a < b) return 0; ll ret = frac_list[a]; ret *= frac_inv_list[b]; ret %= mod; ret *= frac_inv_list[a - b]; ret %= mod; return ret; } ll perm(int a, int b, const VL &frac_list, const VL &frac_inv_list) { if (a < b) return 0; ll ret = frac_list[a]; ret *= frac_inv_list[a - b]; ret %= mod; return ret; } ll multset(int a, int b, const VL &frac_list, const VL &frac_inv_list) { if (a == 0 && b == 0) return 1; return comb(a + b - 1, b, frac_list, frac_inv_list); } int main() { // cin.tie(0); // ios::sync_with_stdio(false); #ifdef DEBUG cout << "DEBUG MODE" << endl; ifstream in("input.txt"); //for debug cin.rdbuf(in.rdbuf()); //for debug #endif const int intmax = 2000010; VL frac_list(intmax + 1, 1), frac_inv_list(intmax + 1, 1); rep(i, intmax) { frac_list[i + 1] *= frac_list[i] * (i + 1); frac_list[i + 1] %= mod; frac_inv_list[i + 1] *= frac_inv_list[i] * pow_mod(i + 1, mod - 2, mod); frac_inv_list[i + 1] %= mod; } int q, a, b, status; cin >> q; string s, sa, sb; rep(i, q) { cin >> s; sa = sb = ""; status = 0; rep2(j, 1, s.length()) { if (s[j] == '(') status++; else if (s[j] == ',') status++; else if (s[j] == ')') status++; else if (status == 1) sa += s[j]; else if (status == 2) sb += s[j]; } a = stoi(sa), b = stoi(sb); if (s[0] == 'C') cout << comb(a, b, frac_list, frac_inv_list) << rt; else if (s[0] == 'P') cout << perm(a, b, frac_list, frac_inv_list) << rt; else if (s[0] == 'H') cout << multset(a, b, frac_list, frac_inv_list) << rt; } return 0; }