#頂点は1-index,下段は0-index
class LazySegTree:

    #単位元と結合と作用をここで定義
    Xunit = 0
    Aunit = 0

    
    def Xf(self,x,y):
        return max(x,y)
    
    #Xf = max
    def Af(self,a,b):
        return (a + b) % P
    #AのXへの作用
    def operate(self,x,a):
        return (x + a) % P

    def __init__(self,N):
        self.N = N
        self.X = [self.Xunit] * (N + N)
        self.A = [self.Aunit] * (N + N)
    def build(self,seq):
        for i,x in enumerate(seq,self.N):
            self.X[i] = x
        for i in range(self.N-1,0,-1):
            self.X[i] = self.Xf(self.X[i<<1],self.X[i<<1 | 1])
    def eval_at(self,i):
        return self.operate(self.X[i],self.A[i])
    def propagate_at(self,i):
        self.X[i] = self.eval_at(i)
        self.A[i<<1] = self.Af(self.A[i<<1],self.A[i])
        self.A[i<<1 | 1] = self.Af(self.A[i<<1 | 1],self.A[i])
        self.A[i] = self.Aunit
    def propagate_above(self,i):
        H = i.bit_length() - 1
        for h in range(H,0,-1):
            self.propagate_at(i >> h)
    def recalc_above(self,i):
        while i > 1:
            i >>= 1
            self.X[i] = self.Xf(self.eval_at(i << 1),self.eval_at(i << 1 | 1))
    def update(self,i,x):
        i += self.N
        self.propagate_above(i)
        self.X[i] = x
        self.A[i] = self.Aunit
        self.recalc_above(i)
    def fold(self,L = 0,R = -1):
        if R == -1:R = self.N
        L += self.N
        R += self.N
        self.propagate_above(L // (L & -L))
        self.propagate_above(R // (R & -R) -1)
        vL = self.Xunit
        vR = self.Xunit
        while L < R:
            if L & 1:
                vL = self.Xf(vL,self.eval_at(L))
                L += 1
            if R & 1:
                R -= 1
                vR = self.Xf(self.eval_at(R),vR)
            L >>= 1
            R >>= 1
        return self.Xf(vL,vR)
    def operate_range(self,L,R,x):
        #区間全体に作用させる
        L += self.N
        R += self.N
        L0 = L // (L & -L)
        R0 = R // (R & -R) - 1
        self.propagate_above(L0)
        self.propagate_above(R0)
        while L < R:
            if L & 1:
                self.A[L] = self.Af(self.A[L],x)
                L += 1
            if R & 1:
                R -= 1
                self.A[R] = self.Af(self.A[R],x)
            L >>= 1
            R >>= 1
        self.recalc_above(L0)
        self.recalc_above(R0)
    def write(self):
        print(self.X)
    def change(self,Xf,Xunit,Af,Aunit,operate):
        self.Xf = Xf
        self.Xunit = Xunit
        self.Af = Af
        self.Aunit = Aunit
        self.operate = operate

N = int(input())
S = input()

P = 998244353

ans = 0
for i in range(1,N + 1):
    seg = LazySegTree(N + 2)
    seg.build([1] + [0] * N)

    for j in range(N):
        now = seg.fold(j,j + 1)
        #print(now)
        end = 0
        if i + j > N:
            end = N + 2
        else:
            if S[-(i+j)] == "0":
                end = N + 2
            else:
                end = i + j
        seg.operate_range(j + 1,end,now)
    last = seg.fold(N + 1,N + 2)
    #print(last)
    ans += pow(2,(i-1),P) * (pow(2,N - 1,P) - last) % P
print(ans % P)