#include using namespace std; //入力が必ず-mod<=a //mod<2^30. struct modint{ //mod変更が不可能. public: long long v; static void setmod(int m){} //飾り. static constexpr long long getmod(){return mod;} modint():v(0){} template modint(T a):v(a){if(v < 0) v += mod;} long long val()const{return v;} modint &operator=(const modint &b) = default; modint &operator+()const{return (*this);} modint operator-()const{return modint(0)-(*this);} modint operator+(const modint b)const{return modint(v)+=b;} modint operator-(const modint b)const{return modint(v)-=b;} modint operator*(const modint b)const{return modint(v)*=b;} modint operator/(const modint b)const{return modint(v)/=b;} modint &operator+=(const modint b){ v += b.v; if(v >= mod) v -= mod; return *this; } modint &operator-=(const modint b){ v -= b.v; if(v < 0) v += mod; return *this; } modint &operator*=(const modint b){v = v*b.v%mod; return *this;} modint &operator/=(modint b){ //b!=0 mod素数が必須. assert(b.v != 0); (*this) *= b.pow(mod-2); return *this; } modint pow(long long n)const{ modint ret = 1,p = v; if(n < 0) p = p.inv(),n = -n; while(n){ if(n&1) ret *= p; p *= p; n >>= 1; } return ret; } modint inv()const{return pow(mod-2);} //素数mod必須. modint &operator++(){*this += 1; return *this;} modint &operator--(){*this -= 1; return *this;} modint operator++(int){modint ret = *this; *this += 1; return ret;} modint operator--(int){modint ret = *this; *this -= 1; return ret;} friend bool operator==(const modint a,const modint b){return a.v==b.v;} friend bool operator!=(const modint a,const modint b){return a.v!=b.v;} friend bool operator<(const modint a,const modint b){return a.v=(const modint a,const modint b){return a.v>=b.v;} friend bool operator>(const modint a,const modint b){return a.v>b.v;} friend ostream &operator<<(ostream &os,const modint a){return os<>(istream &is,modint &a){ //入力はmodをとってくれる. long long x; is >> x; x %= mod; a = modint(x); return is; } }; using mint = modint<998244353>; const long long mod = 998244353; template vector> RLE(vector &A){ if(A.size() == 0) return {}; vector> ret; T back = A.at(0); long long streak = 1; for(int i=1; i> RLE(string &s){ if(s.size() == 0) return {}; vector> ret; char back = s.at(0); long long streak = 1; for(int i=1; i> N >> Q; int Limit = 2*N+1; //Limit->必要なサイズ fac->x! facinv->1/x! inv->1/x. vector fac(Limit+1,1),facinv(Limit+1); { int mod = mint::getmod(),invstart = min(mod-1,Limit); for(int i=1; i<=Limit; i++) fac.at(i) = fac.at(i-1)*i; facinv.at(invstart) = fac.at(invstart).inv(); for(int i=invstart-1; i>=0; i--) facinv.at(i) = facinv.at(i+1)*(i+1); } vector inv(Limit+1); for(int i=1; i<=Limit; i++) inv.at(i) = fac.at(i-1)*facinv.at(i); //必要なら解放. auto nCr = [&](int n,int r) -> mint { if(n < r || r < 0 || n < 0) return 0; return fac.at(n)*facinv.at(r)*facinv.at(n-r); }; vector C(N+1),C2(N+1); for(int i=0; i<=N; i++) C.at(i) = nCr(2*i,i)*inv.at(i+1); for(int i=0; i<=N; i++) C2.at(i) = C.at(i).inv(); string s; cin >> s; mint answer = 1; int odd = 0,idx = 0; set> S; for(auto [c,len] : RLE(s)) S.insert({idx,len}),idx += len; for(auto [pos,len] : S){ if(len%2) odd++; else answer *= C.at(len/2); } auto add = [&](int l,int len) -> void { if(len%2) odd++; else answer *= C.at(len/2); S.insert({l,len}); }; auto era = [&](int l,int len) -> void { if(len%2) odd--; else answer *= C2.at(len/2); S.erase({l,len}); }; while(Q--){ int t,v; cin >> t >> v; if(t == 1){ v--; s.at(v) ^= 'Y'^'N'; auto itr = S.lower_bound({v+1,-1}); itr--; auto [l,len] = *itr; int r = l+len-1; era(l,len); if(l < v && v < r) add(l,v-l),add(v,1),add(v+1,r-v); else if(len == 1){ int L = 1; if(r < N-1){ itr = S.lower_bound({l,-1}); auto [l2,len2] = *itr; era(l2,len2),L += len2; } if(l){ itr = S.lower_bound({l,-1}); itr--; auto [l2,len2] = *itr; era(l2,len2),L += len2,l = l2; } add(l,L); } else if(l == v){ add(v+1,r-v); if(l){ itr = S.lower_bound({v+1,-1}); itr--; auto [l2,len2] = *itr; era(l2,len2),add(l2,len2+1); } else add(0,1); } else{ add(l,len-1); if(r < N-1){ itr = S.lower_bound({l+1,-1}); auto [l2,len2] = *itr; era(l2,len2),add(l2-1,len2+1); } else add(r,1); } } else{ { auto [ign,len] = *S.rbegin(); if(len%2) odd--; else answer *= C2.at(len/2); } if(odd) cout << "0\n"; else{ auto [ign,len] = *S.rbegin(); int n = N-len; if(n/2 > v) cout << "0\n"; else{ v -= n/2; if(s.back() == 'Y'){ int y = len-v,n = v; if(y < n) cout << "0\n"; else cout << answer*(nCr(y+n,n)-nCr(y+n,n-1)) << "\n"; } else{ int y = len-v,n = v; if(y > n) cout << "0\n"; else cout << answer*(nCr(y+n,y)-nCr(y+n,y-1)) << "\n"; } } } { auto [ign,len] = *S.rbegin(); if(len%2) odd++; else answer *= C.at(len/2); } } } }