#ifdef MAIN bool __multi__ = 0; namespace XK { const ll mod = 998244353; struct mm { ll x; mm(ll x_ = 0) : x(x_ % mod) { if(x < 0) x += mod; } friend mm operator+(mm a, mm b) { return a.x + b.x; } friend mm operator-(mm a, mm b) { return a.x - b.x; } friend mm operator*(mm a, mm b) { return a.x * b.x; } friend mm operator/(mm a, mm b) { return a * b.inv(); } friend mm& operator+=(mm& a, mm b) { return a = a.x + b.x; } friend mm& operator-=(mm& a, mm b) { return a = a.x - b.x; } friend mm& operator*=(mm& a, mm b) { return a = a.x * b.x; } friend mm& operator/=(mm& a, mm b) { return a = a * b.inv(); } mm inv() const { return pow(mod - 2); } mm pow(ll b) const { mm a = *this, c = 1; while(b) { if(b & 1) c *= a; a *= a; b >>= 1; } return c; } }; void solve() { int N; cin >> N; string S; cin >> S; V> f(N, V(N + 1, 0)); if(S[0] == '1') f[0][0] = N; else rep(i, N + 1) f[0][i] = 1; Rep(i, 1, N) { if(S[i] == '1') { rep(j, N + 1) if(i + j < N) f[i][j] += f[i - 1][j] * (N - i - j); } else { auto nf = f[i - 1]; Rep(j, 1, N + 1) nf[j] += nf[j - 1]; rep(j, N + 1) f[i][j] += nf[j]; Rep(j, 1, N + 1) f[i][j - 1] += f[i - 1][j] * j; #ifdef DEBUG cout << "nf: "; rep(k, N + 1) cout << nf[k].x << ' '; cout << '\n'; cout << "f: "; rep(k, N + 1) cout << f[i][k].x << ' '; cout << '\n'; #endif } } cout << f[N - 1][0].x; } }; #else #include "cassert" #include "cmath" #include "cstdint" #include "cstdio" #include "cstdlib" #include "cstring" #include "algorithm" #include "bitset" #include "chrono" #include "complex" #include "deque" #include "functional" #include "iostream" #include "limits" #include "map" #include "numeric" #include "queue" #include "random" #include "set" #include "sstream" #include "string" #include "unordered_map" #include "unordered_set" #include "utility" #include "vector" #include "array" using namespace std; #define int long long using ll = long long; using ull = unsigned long long; const ll INF = 1ll << 60; const ll LINF = 0x1fffffffffffffff; const ll MINF = 0x7fffffffffff; template bool chmax(A& l, const B& r){ return r > l ? l = r, 1 : 0; } template bool chmin(A& l, const B& r){ return r < l ? l = r, 1 : 0; } #define sz(x) ssize(x) #define rep(i, a) for(ll i = 0; i < (a); i ++) #define Rep(i, a, b) for(ll i = (a); i < (b); i ++) #define rrep(i, a, b) for(ll i = (b); i --> (a); ) #define all(x) begin(x), end(x) #define fst first #define snd second #define pb push_back template using V = vector; template using AR = array; #define MAIN #include __FILE__ signed main() {ios::sync_with_stdio(0);cin.tie(0);fixed(cout).precision(12);int t = 1;if(__multi__) cin >> t;while(t --) XK::solve();} #endif