#include #include #include using namespace atcoder; using mint = modint998244353; using namespace std; #define rep(i,n) for (int i = 0; i < (n); ++i) #define Inf 1000000001 bool check(string S){ vector dp(4,0); dp[0] = 1; rep(i,S.size()){ int x = S[i]-'A'; x++; dp[x] |= dp[x-1]; } return dp.back(); } struct combi{ deque kaijou; deque kaijou_; combi(int n){ kaijou.push_back(1); for(int i=1;i<=n;i++){ kaijou.push_back(kaijou[i-1]*i); } mint b=kaijou[n].inv(); kaijou_.push_front(b); for(int i=1;i<=n;i++){ int k=n+1-i; kaijou_.push_front(kaijou_[0]*k); } } mint combination(int n,int r){ if(r>n)return 0; mint a = kaijou[n]*kaijou_[r]; a *= kaijou_[n-r]; return a; } mint junretsu(int a,int b){ mint x = kaijou_[a]*kaijou_[b]; x *= kaijou[a+b]; return x; } mint catalan(int n){ return combination(2*n,n)/(n+1); } }; int main(){ int N; cin>>N; string S; cin>>S; bool f = false; rep(_,3){ if(check(S))f=true; rep(i,N){ S[i]++; if(S[i]=='D')S[i] = 'A'; } } if(!f){ cout<<1< cnt(3,0); rep(i,S.size()){ cnt[S[i]-'A']++; } mint ans = C.kaijou[N]; ans /= C.kaijou[cnt[0]]; ans /= C.kaijou[cnt[1]]; ans /= C.kaijou[cnt[2]]; ans -= N; cout<