//Shirasu Azusa 2024.8 #include #define fi first #define se second #define eb emplace_back #define mp make_pair using namespace std; typedef long double ld; typedef long long ll; typedef unsigned long long ull; typedef __int128 i128; template T ceil(T x, U y) {return (x>0?(x+y-1)/y:x/y);} template T floor(T x, U y) {return (x>0?x/y:(x-y+1)/y);} template bool chmax(T &a,const S b) {return (a bool chmin(T &a,const S b) {return (a>b?a=b,1:0);} int popcnt(int x) {return __builtin_popcount(x);} int popcnt(ll x) {return __builtin_popcountll(x);} int topbit(int x) {return (x==0?-1:31-__builtin_clz(x));} int topbit(ll x) {return (x==0?-1:63-__builtin_clzll(x));} int lowbit(int x) {return (x==0?-1:__builtin_ctz(x));} int lowbit(ll x) {return (x==0?-1:__builtin_ctzll(x));} #define int long long #define rep(i,a,b) for(int i=(a);i<=(b);i++) #define per(i,a,b) for(int i=(a);i>=(b);i--) typedef pair pii; typedef vector vi; typedef vector vp; int read() { int x=0,w=1; char c=getchar(); while(!isdigit(c)) {if(c=='-') w=-1; c=getchar();} while(isdigit(c)) {x=x*10+(c-'0'); c=getchar();} return x*w; } const int N=2005,mod=998244353; int f[N][N],n; char s[N]; signed main() { scanf("%lld%s",&n,s+1); f[0][0]=1; rep(i,1,n) { if(s[i]=='0') { int sum=f[i-1][0]; rep(j,1,i) { f[i][j]=(sum+f[i-1][j-1]*(j-1))%mod; sum=(sum+f[i-1][j])%mod; } } else { rep(j,0,i-1) f[i][j]=f[i-1][j]*(i-j)%mod; } } int ans=0; rep(i,0,n) ans=(ans+f[n][i])%mod; printf("%lld\n",ans); return 0; }