#include #define rep(i,n) for(ll i = 0; i < n; i++) //[0,n) #define srep(i,a,b) for(ll i = a; i < b; i++) //[a,b) #define all(A) (A).begin(),(A).end() #define rall(A) (A).rbegin(),(A).rend() #define pmt(A) next_permutation(all(A)) using namespace std; using ll = long long; using ull = unsigned long long; using P = pair; using pq = priority_queue,greater

>; ll inf = 1LL<<60; int iinf = (int)1e9+1; int mod9 = 998244353; int mod1 = 1000000007; struct Edge { int to; int cost; int from; }; bool compe(const Edge &e,const Edge &e2){ return e.cost < e2.cost; } using Graph = vector>; using SGraph = vector>; template int siz(T& a){return (int)a.size();} ll squa(ll a){ return a*a; } ll ceil(ll a,ll b){ return (a+b-1)/b; } ll const MAX = 1010101; ll fac[MAX],finv[MAX],inv[MAX]; void Cinit(ll mod){ fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; srep(i,2,MAX){ fac[i] = fac[i-1]*i%mod; inv[i] = mod-inv[mod%i]*(mod/i)%mod; finv[i] = finv[i-1]*inv[i]%mod; } } ll nCr(int n,int k,ll mod){ if(n < k || (n < 0 || k < 0)) return 0; return fac[n]*(finv[k]*finv[n-k]%mod)%mod; } int main(void){ Cinit(mod9); int N,K; cin >> N >> K; string S; cin >> S; int d = 0; rep(i,N) if(i+1 < N && S[i] == 'C' && S[i+1] == 'N') S[i+1] = 'I',d++; int c = 0; rep(i,N) if(S[i] == 'N') c++; if(c-K+d <= 0){ cout << 0; return 0; } ll ans = 0; rep(i,c-K+d) (ans += nCr(c,i+1,mod9)) %= mod9; cout << ans; }