#pragma GCC target("avx2") #pragma GCC optimize("unroll-loops") #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define ALL(x) (x).begin(), (x).end() #define PC(x) __builtin_popcount(x) #define PCL(x) __builtin_popcountll(x) using namespace std; typedef long long ll; typedef unsigned long long ull; typedef pair pii; typedef pair pll; struct edge { int to, cost, id; }; const double PI = 3.14159265358979323846; const double PI2 = PI * 2.0; const double EPS = 1E-09; const ll MOD = 998244353; const ll INFL = 1E18; const int INFI = 1E09; const int MAX_N = 3E+05; ll dx[4] = { 0, -1, 0, 1 }, dy[4] = { 1, 0, -1, 0 }; ll N; ll modfac[MAX_N + 1]; ll modfacinv[MAX_N + 1]; string S; ll modPow(ll x, ll a) { ll ans = 1; while (a > 0) { if (a & 1) { ans = (ans * x) % MOD; } x = (x * x) % MOD; a >>= 1; } return ans; } // (n!)^-1を求める void modfactorInv(ll n) { ll p = n - 1; while (p >= 0) { modfacinv[p] = ((p + 1) * modfacinv[p + 1]) % MOD; p--; } } // n!を求める ll modfactor(ll n) { modfac[0] = 1; ll p = 1; while (p <= n) { // cout << p << "\n"; modfac[p] = (p * modfac[p - 1]) % MOD; p++; } modfacinv[n] = modPow(modfac[n], MOD - 2); modfactorInv(n); return modfac[n]; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); cin >> N >> S; modfactor(N); ll x = 0; for (auto c : S) { if (c == 'A' || c == 'B') x++; } // for (int i = 0; i < N; i++) { // for (int j = 0; j < N; j++) { // cout << "i = " << i << ", j = " << j << ", dp = " << dp[i][j] << "\n"; // } // } cout << modfac[N] * modfacinv[N - x] % MOD * modfacinv[x] % MOD << "\n"; return 0; }