#pragma GCC optimize("Ofast") #pragma GCC target("avx2") #define rd_init() char*rp=({char*mmap();mmap(0l,1l<<25,1,2,0,0ll);}) #define rd_skip() while(*rp++>=48) #define rd() ({long _v=0,_c;while(_c=*rp++-48,_c>=0)_v=_v*10+_c;_v;}) #define wt(v) ({ulong _z=v;do*--wp=_z%10+48;while(_z/=10);}) #define wt1(v) ({char wbuf[64],*wp=wbuf+sizeof wbuf;wt(v);write(1,wp,wbuf+sizeof wbuf-wp);}) #define rrep3(v,s,e) for(typeof(e) v=e;--v>=s;) #define min(a,b) (a<=b?a:b) #define MD 998244353 typedef unsigned long ulong; //-------- // ifac table #define M 300001 #define ifac_Mm1 988693096 unsigned ifac[M]; void mkfac(){ ulong x=ifac_Mm1; for(long i=M;i--;){ ifac[i]=x; x=x*i%MD; } } //-------- int inverse(int a){ int b=MD; int u=1; int v=0; int s,t; while(b){ t=a/b; s=b; b=a-t*b; a=s; s=v; v=u-t*v; u=s; } if(u<0){ u+=MD; } return u; } int main(){ int k,d; { rd_init(); rd_skip(); k=rd(); d=0; for(int a,b=0;a=*rp++,a!=10;b=a){ if(a=='N'){ k-=1; d+=b!='C'; } } } mkfac(); { ulong z=0; rrep3(i,1,min(-k,d)+1){ z=(z+(ulong)ifac[i]*ifac[d-i])%MD; } z=z*inverse(ifac[d])%MD; wt1(z); } _exit(0); }