#include #include #include #include #include #include using namespace std; using ll = long long; #define rep(i, j, n) for (int i = j; i < (n); ++i) #define rrep(i, j, n) for (int i = (n)-1; j <= i; --i) #define all(a) a.begin(), a.end() template std::ostream &operator<<(std::ostream &os, std::vector &a) { for (size_t i = 0; i < a.size(); ++i) os << (i > 0 ? " " : "") << a[i]; return os << '\n'; } template std::istream &operator>>(std::istream &is, std::vector &a) { for (T &x : a) { is >> x; } return is; } [[maybe_unused]] constexpr long long MOD = 998244353; // constexpr long long MOD = 1000000007; [[maybe_unused]] constexpr int INF = 0x3f3f3f3f; [[maybe_unused]] constexpr long long INFL = 0x3f3f3f3f3f3f3f3fLL; template class modint { public: long long x; constexpr modint(const long long x = 0) noexcept : x(x % mod) {} constexpr long long &value() noexcept { return x; } constexpr const long long &value() const noexcept { return x; } constexpr modint operator+(const modint rhs) const noexcept { return modint(*this) += rhs; } constexpr modint operator-(const modint rhs) const noexcept { return modint(*this) -= rhs; } constexpr modint operator*(const modint rhs) const noexcept { return modint(*this) *= rhs; } constexpr modint operator/(const modint rhs) const noexcept { return modint(*this) /= rhs; } constexpr modint &operator+=(const modint rhs) noexcept { if ((x += rhs.x) >= mod) x -= mod; return *this; } constexpr modint &operator-=(const modint rhs) noexcept { if ((x += mod - rhs.x) >= mod) x -= mod; return *this; } constexpr modint &operator*=(const modint rhs) noexcept { x = x * rhs.x % mod; return *this; } constexpr modint &operator/=(const modint rhs) noexcept { *this *= rhs.inverse(); return *this; } constexpr bool operator==(const modint &rhs) const { return x == rhs.x; } constexpr bool operator!=(const modint &rhs) const { return x != rhs.x; } modint inverse() const { long long a = x, b = mod, u = 1, v = 0, t; while (b > 0) { t = a / b; swap(a -= t * b, b); swap(u -= t * v, v); } return modint(u + mod); } modint pow(long long exp) const { modint res(1), mul(x); while (exp > 0) { if (exp & 1) res *= mul; mul *= mul; exp >>= 1; } return res; } operator long long() const { return x; } friend ostream &operator<<(ostream &os, const modint &rhs) { return os << rhs.x; } friend istream &operator>>(istream &is, modint &a) { long long t; is >> t; a = modint(t); return is; } }; template class combination { using mint = modint; public: constexpr combination(size_t n) { fac = new mint[n + 1]; inv = new mint[n + 1]; inv_fac = new mint[n + 1]; fac[0] = 1; inv_fac[0] = 1; inv[1] = 1; // i * inv[i] = 1 mod p. // p = p / i * i + p % i // => p / i * i + p % i = 0 mod p // => (p / i * -inv[p % i]) * i = 1 mod p for (size_t i = 2; i <= n; ++i) { inv[i] -= inv[mod % i] * mint(mod / i); } for (size_t i = 1; i <= n; ++i) { fac[i] = fac[i - 1] * mint(i); inv_fac[i] = inv_fac[i - 1] * inv[i]; } } mint operator()(size_t n, size_t k) { if (n < k) { return 0; } return fac[n] * inv_fac[n - k] * inv_fac[k]; } ~combination() { delete[] fac; delete[] inv_fac; delete[] inv; } private: mint *fac, *inv, *inv_fac; }; int main() { cin.tie(0)->sync_with_stdio(0); int n; string s; cin >> n >> s; combination comb(n); int ab = 0; for (char c : s) ab += c == 'A' || c == 'B'; // ABAAABABB... / CCCDDDCDCCD // みたいな感じにまずできる cout << comb(n, ab); return 0; }