#include using namespace std; //* ATCODER #include using namespace atcoder; typedef modint998244353 mint; //*/ /* BOOST MULTIPRECISION #include using namespace boost::multiprecision; //*/ typedef long long ll; #define rep(i, s, n) for (int i = (int)(s); i < (int)(n); i++) #define rrep(i, s, n) for (int i = (int)(n)-1; i >= (int)(s); i--) template bool chmin(T &a, const T &b) { if (a <= b) return false; a = b; return true; } template bool chmax(T &a, const T &b) { if (a >= b) return false; a = b; return true; } template T max(vector &a){ assert(!a.empty()); T ret = a[0]; for (int i=0; i<(int)a.size(); i++) chmax(ret, a[i]); return ret; } template T min(vector &a){ assert(!a.empty()); T ret = a[0]; for (int i=0; i<(int)a.size(); i++) chmin(ret, a[i]); return ret; } template T sum(vector &a){ T ret = 0; for (int i=0; i<(int)a.size(); i++) ret += a[i]; return ret; } //defmodfact const int COMinitMAX = 1998244; mint fact[COMinitMAX+1], factinv[COMinitMAX+1]; void modfact(){ fact[0] = 1; for (int i=1; i<=COMinitMAX; i++){ fact[i] = fact[i-1] * i; } factinv[COMinitMAX] = fact[COMinitMAX].inv(); for (int i=COMinitMAX-1; i>=0; i--){ factinv[i] = factinv[i+1] * (i+1); } } mint binom(int a, int b){ if (a> n; string s; cin >> s; vector a(n); rep(i,0,n){ a[i] = (s[i] == '1'); } vector dp(n+1, vector(n+1)); dp[0][0] = 1; // 下に何個あるか ? rep(i,0,n){ if (a[i] == 0){ // 下から取る. rep(j,1,n+1){ if (n-(j+i) < 0) break; dp[i+1][j-1] += dp[i][j] * j; } // 上を選ぶ rep(j,0,n+1){ if (n-(j+i) < 0) break; rep(k,1,n-(j+i)+1){ dp[i+1][k+j-1] += dp[i][j]; } } }else{ // 上を選ぶ rep(j,0,n+1){ if (n-(j+i) < 0) break; dp[i+1][j] += dp[i][j] * (n-(j+i)); } } } cout << sum(dp[n]).val() << '\n'; }