#include <iostream>
#include <algorithm>
#include <iomanip>
#include <vector>
#include <queue>
#include <deque>
#include <set>
#include <map>
#include <tuple>
#include <cmath>
#include <numeric>
#include <functional>
#include <cassert>
#include <atcoder/modint>

#define debug_value(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << #x << "=" << x << endl;
#define debug(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << x << endl;

template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }

using namespace std;
typedef long long ll;

template<typename T>
vector<vector<T>> vec2d(int n, int m, T v){
    return vector<vector<T>>(n, vector<T>(m, v));
}

template<typename T>
vector<vector<vector<T>>> vec3d(int n, int m, int k, T v){
    return vector<vector<vector<T>>>(n, vector<vector<T>>(m, vector<T>(k, v)));
}

template<typename T>
void print_vector(vector<T> v, char delimiter=' '){
    if(v.empty()) {
        cout << endl;
        return;
    }
    for(int i = 0; i+1 < v.size(); i++) cout << v[i] << delimiter;
    cout << v.back() << endl;
}

using mint = atcoder::modint998244353;

ostream& operator<<(ostream& os, const mint& m){
    os << m.val();
    return os;
}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout << setprecision(10) << fixed;
    int n; cin >> n;
    string s; cin >> s;
    reverse(s.begin(), s.end());
    mint ans = 0;
    for(int x = 0; x < n; x++){
        mint n_all = mint(2).pow(n-1);
        vector<mint> dp(n+1);
        dp[0] = 1;
        dp[1] = -1;
        for(int i = 0; i < n; i++){
            if(i > 0) dp[i] += dp[i-1];
            dp[i+1] += dp[i];
            if(i+x >= n){
            }else{
                if(s[i+x] == '1'){
                    dp[i+x+1] -= dp[i];
                }
            }
        };

        dp[n] += dp[n-1];
       
        // debug_value(dp[n])
        ans += (n_all-dp[n])*mint(2).pow(x);
    }
    cout << ans << endl;
}