#include using namespace std; #define overload4(_1, _2, _3, _4, name, ...) name #define rep1(n) for(int i = 0; i < (int)(n); ++i) #define rep2(i, n) for(int i = 0; i < (int)(n); ++i) #define rep3(i, a, b) for(int i = (a); i < (int)(b); ++i) #define rep4(i, a, b, c) for(int i = (a); i < (int)(b); i += (c)) #define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; --i) #define ALL(a) (a).begin(), (a).end() #define Sort(a) (sort((a).begin(), (a).end())) #define RSort(a) (sort((a).rbegin(), (a).rend())) #define UNIQUE(a) (a.erase(unique((a).begin(), (a).end()), (a).end())) using i64 = int64_t; using i128 = __int128_t; using ll = long long; using ul = unsigned long long; using ull = unsigned long long; using ld = long double; using vi = vector; using vll = vector; using vull = vector; using vc = vector; using vst = vector; using vd = vector; using vld = vector; using P = pair; template long long sum(const T &a){ return accumulate(a.begin(), a.end(), 0LL); } template auto min(const T &a){ return *min_element(a.begin(), a.end()); } template auto max(const T &a){ return *max_element(a.begin(), a.end()); } const long long MINF = 0x7fffffffffff; const long long INF = 0x1fffffffffffffff; const long long MOD = 998244353; const long double EPS = 1e-9; const long double PI = acos(-1); template inline bool chmax(T &a, T b) { if(a < b) { a = b; return 1; } return 0; } template inline bool chmin(T &a, T b) { if(a > b) { a = b; return 1; } return 0; } template istream &operator>>(istream &is, pair &p){ is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const pair &p){ os << "(" << p.first << ", " << p.second << ")"; return os; } template istream &operator>>(istream &is, vector &v){ for(T &in : v) is >> in; return is; } template ostream &operator<<(ostream &os, const vector &v){ for(int i = 0; i < (int) v.size(); ++i){ os << v[i] << (i + 1 != (int) v.size() ? " " : ""); } return os; } template ostream &operator<<(ostream &os, const map &mp){ for(auto &[key, val] : mp){ os << key << ":" << val << " "; } return os; } template ostream &operator<<(ostream &os, const set &st){ auto itr = st.begin(); for(int i = 0; i < (int) st.size(); ++i){ os << *itr << (i + 1 != (int) st.size() ? " " : ""); itr++; } return os; } template ostream &operator<<(ostream &os, const multiset &st){ auto itr = st.begin(); for(int i = 0; i < (int) st.size(); ++i){ os << *itr << (i + 1 != (int) st.size() ? " " : ""); itr++; } return os; } template ostream &operator<<(ostream &os, queue q){ while(q.size()){ os << q.front() << " "; q.pop(); } return os; } template ostream &operator<<(ostream &os, deque q){ while(q.size()){ os << q.front() << " "; q.pop_front(); } return os; } template ostream &operator<<(ostream &os, stack st){ while(st.size()){ os << st.top() << " "; st.pop(); } return os; } template ostream &operator<<(ostream &os, priority_queue pq){ while(pq.size()){ os << pq.top() << " "; pq.pop(); } return os; } template void inGraph(vector> &G, U n, U m, bool directed = true, bool zero_index = true){ G.resize(n); for(int i = 0; i < m; i++){ int a, b; cin >> a >> b; if(!zero_index) a--, b--; G[a].push_back(b); if(!directed) G[b].push_back(a); } } template long long binary_search(long long ok, long long ng, T check){ while(abs(ok - ng) > 1){ long long mid = (ok + ng) / 2; if(check(mid)) ok = mid; else ng = mid; } return ok; } template long double binary_search_real(long double ok, long double ng, T check, int iter = 100){ for(int i = 0; i < iter; ++i){ long double mid = (ok + ng) / 2; if(check(mid)) ok = mid; else ng = mid; } return ok; } long long trisum(long long a, long long b){ if(a > b) return 0; long long res = ((b - a + 1) * (a + b)) / 2; return res; } template T intpow(T x, int n){ T ret = 1; while(n > 0) { if(n & 1) (ret *= x); (x *= x); n >>= 1; } return ret; } template T getDivision(T a, T b){ if(b == 0) return -1; if(a >= 0 && b > 0){ return a / b; } else if(a < 0 && b > 0){ return a / b - (a % b != 0); } else if(a >= 0 && b < 0){ return a / b; } else{ return a / b + (a % b != 0); } } template T getReminder(T a, T b){ if(b == 0) return -1; if(a >= 0 && b > 0){ return a % b; } else if(a < 0 && b > 0){ return ((a % b) + b) % b; } else if(a >= 0 && b < 0){ return a % b; } else{ return (abs(b) - abs(a % b)) % b; } } template inline T vin(T &vec, U n) { vec.resize(n); for(int i = 0; i < (int) n; ++i) cin >> vec[i]; return vec; } template inline void vout(T vec, string s = "\n"){ for(auto x : vec) cout << x << s; } template void in(T&... a){ (cin >> ... >> a); } void out(){ cout << '\n'; } template void out(const T &a, const Ts&... b){ cout << a; ((cout << ' ' << b), ...); cout << '\n'; } void fout(){ cout << endl; } template void fout(const T &a, const Ts&... b){ cout << a; ((cout << ' ' << b), ...); cout << endl; } void debug(){ cerr << '\n'; } template void debug(const T &a, const Ts&... b){ cerr << a; ((cout << ' ' << b), ...); cerr << '\n'; } template struct SegTree{ int _n, n; std::vector dat; SegTree(int _n) : _n(_n) { int x = 1; while(_n > x){ x *= 2; } n = x; dat.resize(n * 2); for(int i = 0; i < n * 2; ++i){ dat[i] = e(); } } SegTree(std::vector &v) : _n((int) v.size()) { int x = 1; while((int) v.size() > x){ x *= 2; } n = x; dat.resize(n * 2); for(int i = 0; i < n; ++i){ set(i, (i < (int) v.size() ? v[i] : e())); } build(); } private: void set(int i, const T &x){ dat[i + n] = x; } void build(){ for(int k = n - 1; k >= 1; k--) dat[k] = op(dat[k * 2], dat[k * 2 + 1]); } public: T get(int i) const { assert(0 <= i && i < n); return dat[i + n]; } void update(int i, const T &x){ assert(0 <= i && i < n); i += n; dat[i] = x; while(i > 0){ i >>= 1; // parent dat[i] = op(dat[i * 2], dat[i * 2 + 1]); } } T query(int a, int b){ assert(0 <= a && a <= b && b <= n); T vl = e(); T vr = e(); int l = a + n; int r = b + n; while(l < r){ if(l & 1) vl = op(vl, dat[l++]); if(r & 1) vr = op(dat[--r], vr); l >>= 1; r >>= 1; } return op(vl, vr); } template int max_right(int l, F f) const { assert(0 <= l && l <= _n); assert(f(e())); if(l == _n) return _n; l += n; T sm = e(); do{ while(l % 2 == 0) l >>= 1; if(!f(op(sm, dat[l]))){ while(l < n){ l = (2 * l); if(f(op(sm, dat[l]))){ sm = op(sm, dat[l]); l++; } } return l - n; } sm = op(sm, dat[l]); l++; }while((l & -l) != l); return _n; } template int min_left(int r, F f) const { assert(0 <= r && r <= _n); assert(f(e())); if(r == 0) return 0; r += n; T sm = e(); do{ r--; while(r > 1 && (r % 2)) r >>= 1; if(!f(op(dat[r], sm))){ while(r < n){ r = (2 * r + 1); if(f(op(dat[r], sm))){ sm = op(dat[r], sm); r--; } } return r + 1 - n; } sm = op(dat[r], sm); }while((r & -r) != r); return 0; } }; template struct ModInt{ long long val; static constexpr int mod() { return Modulus; } constexpr ModInt(const long long _val = 0) noexcept : val(_val) { normalize(); } void normalize(){ val = (val % Modulus + Modulus) % Modulus; } inline ModInt &operator+=(const ModInt &rhs) noexcept { if(val += rhs.val, val >= Modulus) val -= Modulus; return *this; } inline ModInt &operator-=(const ModInt &rhs) noexcept { if(val -= rhs.val, val < 0) val += Modulus; return *this; } inline ModInt &operator*=(const ModInt &rhs) noexcept { val = val * rhs.val % Modulus; return *this; } inline ModInt &operator/=(const ModInt &rhs) noexcept { val = val * inv(rhs.val).val % Modulus; return *this; } inline ModInt &operator++() noexcept { if(++val >= Modulus) val -= Modulus; return *this; } inline ModInt operator++(int) noexcept { ModInt t = val; if(++val >= Modulus) val -= Modulus; return t; } inline ModInt &operator--() noexcept { if(--val < 0) val += Modulus; return *this; } inline ModInt operator--(int) noexcept { ModInt t = val; if(--val < 0) val += Modulus; return t; } inline ModInt operator-() const noexcept { return (Modulus - val) % Modulus; } inline ModInt inv(void) const { return inv(val); } ModInt pow(long long n) const { assert(0 <= n); ModInt x = *this, r = 1; while(n){ if(n & 1) r *= x; x *= x; n >>= 1; } return r; } ModInt inv(const long long n) const { long long a = n, b = Modulus, u = 1, v = 0; while(b){ long long t = a / b; a -= t * b; std::swap(a, b); u -= t * v; std::swap(u, v); } u %= Modulus; if(u < 0) u += Modulus; return u; } friend inline ModInt operator+(const ModInt &lhs, const ModInt &rhs) noexcept { return ModInt(lhs) += rhs; } friend inline ModInt operator-(const ModInt &lhs, const ModInt &rhs) noexcept { return ModInt(lhs) -= rhs; } friend inline ModInt operator*(const ModInt &lhs, const ModInt &rhs) noexcept { return ModInt(lhs) *= rhs; } friend inline ModInt operator/(const ModInt &lhs, const ModInt &rhs) noexcept { return ModInt(lhs) /= rhs; } friend inline bool operator==(const ModInt &lhs, const ModInt &rhs) noexcept { return lhs.val == rhs.val; } friend inline bool operator!=(const ModInt &lhs, const ModInt &rhs) noexcept { return lhs.val != rhs.val; } friend inline std::istream &operator>>(std::istream &is, ModInt &x) noexcept { is >> x.val; x.normalize(); return is; } friend inline std::ostream &operator<<(std::ostream &os, const ModInt &x) noexcept { return os << x.val; } }; using mint = ModInt; template struct Combination{ std::vector memo, memoinv, inv; Combination() : memo(2, T(1)), memoinv(2, T(1)), inv(2, T(1)){} void init(const int N){ if((int) memo.size() >= N + 1){ return; } int prev_len = memo.size(); memo.resize(N + 1); memoinv.resize(N + 1); inv.resize(N + 1); T m = -1; long long mod = (m.val + 1LL); for(int i = prev_len; i <= N; ++i){ memo[i] = memo[i - 1] * i; inv[i] = mod - inv[mod % i] * (mod / i); memoinv[i] = memoinv[i - 1] * inv[i]; } } inline T fact(const int n) { init(n); return memo[n]; } inline T factinv(const int n) { init(n); return memoinv[n]; } inline T ncr(const int n, const int r) { if(n < r || r < 0) return 0; init(n); return (memo[n] * memoinv[r]) * memoinv[n - r]; } inline T npr(const int n, const int r) { if(n < r || r < 0) return 0; init(n); return memo[n] * memoinv[n - r]; } // 重複組み合わせ inline T nhr(const int n, const int r) { if(n == 0 && r == 0) return 1; return ncr(n + r - 1, r); } // ボールの数、一個以上必要な箱の数、制限がない箱の数 (箱区別あり) // a = 0 の場合は重複組み合わせ inline T choose(const int n, const int a, const int b = 0) { if(n == 0) return !a; return ncr(n + b - 1, a + b - 1); } // +1 n 個, -1 m 個, 累積和 >= 0 inline T cataran(const int n, const int m) { return cataran(n, m, 1); } // +1 n 個, -1 m 個, 累積和 > -k inline T cataran(const int n, const int m, const int k) { if(m < k) return ncr(n + m, n); if(m < n + k) return ncr(n + m, n) - ncr(n + m, m - k); return 0; } // +1 n 個, -1 m 個, 累積和 < +k inline T cataran2(const int n, const int m, const int k) { return cataran(m, n, k); } }; Combination comb; struct S{ char l, r; ll cntl, cntr; mint s; }; mint f(ll x){ if(x % 2) return mint(0); return comb.cataran(x / 2, x / 2); } S op(S l, S r){ if(l.cntl == 0 && l.cntr == 0){ return r; } if(r.cntl == 0 && r.cntr == 0){ return l; } if(l.cntr == 0 && r.cntr == 0){ if(l.l == r.l){ return {l.l, '.', l.cntl + r.cntl, 0, l.s * r.s}; }else{ return {l.l, r.l, l.cntl, r.cntl, l.s * r.s}; } }else if(r.cntr == 0){ if(l.r == r.l){ return {l.l, r.l, l.cntl, l.cntr + r.cntl, l.s * r.s}; }else{ return {l.l, r.l, l.cntl, r.cntl, l.s * r.s * f(l.cntr)}; } }else if(l.cntr == 0){ if(l.l == r.l){ return {l.l, r.r, l.cntl + r.cntl, r.cntr, l.s * r.s}; }else{ return {l.l, r.r, l.cntl, r.cntr, l.s * r.s * f(r.cntl)}; } }else{ if(l.r == r.l){ return {l.l, r.r, l.cntl, r.cntr, l.s * r.s * f(l.cntr + r.cntl)}; }else{ return {l.l, r.r, l.cntl, r.cntr, l.s * r.s * f(l.cntr) * f(r.cntl)}; } } } S e(){ return {'Y', 'Y', 0, 0, 1}; } ll T; void input(){ in(T); } void solve(){ // カタラン数の練習? ll n, q; in(n, q); string s; in(s); SegTree seg(n); rep(i, n){ if(s[i] == 'Y'){ seg.update(i, {'Y', '.', 1, 0, 1}); }else{ seg.update(i, {'N', '.', 1, 0, 1}); } } while(q--){ ll t; in(t); if(t == 1){ ll i; in(i); i--; if(s[i] == 'Y') s[i] = 'N'; else s[i] = 'Y'; if(s[i] == 'Y'){ seg.update(i, {'Y', '.', 1, 0, 1}); }else{ seg.update(i, {'N', '.', 1, 0, 1}); } }else{ ll k; in(k); S res = seg.query(0, n); mint ans = res.s; // debug(res.l, res.r, res.cntl, res.cntr, res.s); if(res.cntr == 0){ if(res.l == 'N'){ ans *= comb.cataran(k, res.cntl - k); }else{ ans *= comb.cataran(res.cntl - k, k); } }else{ ans *= f(res.cntl); ll cnt = (n - res.cntr) / 2; if(k < cnt){ out(0); continue; } ll nk = k - cnt; // debug(nk, res.cntr - nk, comb.cataran(nk, res.cntr - nk)); if(res.r == 'N'){ ans *= comb.cataran(nk, res.cntr - nk); }else{ ans *= comb.cataran(res.cntr - nk, nk); } } out(ans); } } } int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); cout << fixed << setprecision(20); T = 1; // input(); while(T--) solve(); }