/** * @FileName a.cpp * @Author kanpurin * @Created 2021.04.17 02:44:54 **/ #include "bits/stdc++.h" using namespace std; typedef long long ll; template< int MOD > struct mint { public: long long x; mint(long long x = 0) :x((x%MOD+MOD)%MOD) {} mint(std::string &s) { long long z = 0; for (int i = 0; i < s.size(); i++) { z *= 10; z += s[i] - '0'; z %= MOD; } this->x = z; } mint& operator+=(const mint &a) { if ((x += a.x) >= MOD) x -= MOD; return *this; } mint& operator-=(const mint &a) { if ((x += MOD - a.x) >= MOD) x -= MOD; return *this; } mint& operator*=(const mint &a) { (x *= a.x) %= MOD; return *this; } mint& operator/=(const mint &a) { long long n = MOD - 2; mint u = 1, b = a; while (n > 0) { if (n & 1) { u *= b; } b *= b; n >>= 1; } return *this *= u; } mint operator+(const mint &a) const { mint res(*this); return res += a; } mint operator-() const {return mint() -= *this; } mint operator-(const mint &a) const { mint res(*this); return res -= a; } mint operator*(const mint &a) const { mint res(*this); return res *= a; } mint operator/(const mint &a) const { mint res(*this); return res /= a; } friend std::ostream& operator<<(std::ostream &os, const mint &n) { return os << n.x; } friend std::istream &operator>>(std::istream &is, mint &n) { long long x; is >> x; n = mint(x); return is; } bool operator==(const mint &a) const { return this->x == a.x; } bool operator!=(const mint &a) const { return this->x != a.x; } mint pow(long long k) const { mint ret = 1; mint p = this->x; while (k > 0) { if (k & 1) { ret *= p; } p *= p; k >>= 1; } return ret; } }; constexpr int MOD = 998244353; int main() { int n;cin >> n; string s;cin >> s; vector> cnt(3,vector(n+1,0)); for (int i = 0; i < n; i++) { cnt[0][i+1] = cnt[0][i]; cnt[1][i+1] = cnt[1][i]; cnt[2][i+1] = cnt[2][i]; if (s[i] == 'A') cnt[0][i+1]++; if (s[i] == 'B') cnt[1][i+1]++; if (s[i] == 'C') cnt[2][i+1]++; } bool ok = false; for (int i = 0; i < n; i++) { if (s[i] == 'A' && cnt[2][i] >= 1 && cnt[1][n]-cnt[1][i+1]>=1) { ok = true; break; } if (s[i] == 'B' && cnt[0][i] >= 1 && cnt[2][n]-cnt[2][i+1]>=1) { ok = true; break; } if (s[i] == 'C' && cnt[1][i] >= 1 && cnt[0][n]-cnt[0][i+1]>=1) { ok = true; break; } } if (!ok) { puts("1"); return 0; } mint ans = 1; for (int i = 1; i < n; i++) { ans *= i+1; } for (int i = 0; i < 3; i++) { for (int j = 1; j < cnt[i][n]; j++) { ans /= j+1; } } cout << ans - n << endl; return 0; }