/* -*- coding: utf-8 -*- * * 1481.cc: No.1481 Rotation ABC - yukicoder */ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; /* constant */ const int MAX_N = 100000; const int MOD = 998244353; /* typedef */ typedef long long ll; typedef vector vi; typedef queue qi; typedef pair pii; /* global variables */ char s[MAX_N + 4]; int cs[3], rs[3], fs[MAX_N + 1]; /* subroutines */ int powmod(int a, int n) { // a^n % MOD int pm = 1; while (n > 0) { if (n & 1) pm = (ll)pm * a % MOD; a = (ll)a * a % MOD; n >>= 1; } return pm; } /* main */ int main() { int n; scanf("%d%s", &n, s); for (int i = 0; i < n; i++) { int si = s[i] - 'A'; cs[si]++; rs[si] = max(rs[si], rs[(si + 2) % 3] + 1); } if (rs[0] >= 3 || rs[1] >= 3 || rs[2] >= 3) { fs[0] = 1; for (int i = 1; i <= n; i++) fs[i] = (ll)fs[i - 1] * i % MOD; int s = fs[n]; for (int i = 0; i < 3; i++) s = (ll)s * powmod(fs[cs[i]], MOD - 2) % MOD; s = (s + MOD - n) % MOD; printf("%d\n", s); } else puts("1"); return 0; }