import java.io.*;
import java.util.*;

public class Main {
    static final int MOD = 998244353;
    static ArrayList<HashMap<Integer, HashMap<Integer, Integer>>> dp = new ArrayList<>();
    static char[] parens;
    public static void main(String[] args) throws Exception {
        Scanner sc = new Scanner();
        int n = sc.nextInt();
        parens = sc.next().toCharArray();
        for (int i = 0; i < n; i++) {
            dp.add(new HashMap<>());
        }
        System.out.println(dfw(n - 1, 0, 0));
    }
    
    static int dfw(int idx, int red, int blue) {
        if (red < 0 || blue < 0) {
            return 0;
        }
        if (idx < 0) {
            if (red == 0 && blue == 0) {
                return 1;
            } else {
                return 0;
            }
        }
        if (!dp.get(idx).containsKey(red)) {
            dp.get(idx).put(red, new HashMap<>());
        }
        if (!dp.get(idx).get(red).containsKey(blue)) {
            if (parens[idx] == '(') {
                if (red == blue) {
                    dp.get(idx).get(red).put(blue, dfw(idx - 1, red - 1, blue) * 2 % MOD);
                } else {
                    dp.get(idx).get(red).put(blue, (dfw(idx - 1, red - 1, blue) + dfw(idx - 1, red, blue - 1)) % MOD);
                }
            } else {
                if (red == blue) {
                    dp.get(idx).get(red).put(blue, dfw(idx - 1, red, blue + 1) * 2 % MOD);
                } else {
                    dp.get(idx).get(red).put(blue, (dfw(idx - 1, red + 1, blue) + dfw(idx - 1, red, blue + 1)) % MOD);
                }
            }
        }
        return dp.get(idx).get(red).get(blue);
    }
}

class Scanner {
    BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    StringTokenizer st = new StringTokenizer("");
    
    public Scanner() throws Exception {
        
    }
    
    public int nextInt() throws Exception {
        return Integer.parseInt(next());
    }
    
    public long nextLong() throws Exception {
        return Long.parseLong(next());
    }
    
    public double nextDouble() throws Exception {
        return Double.parseDouble(next());
    }
    
    public String next() throws Exception {
        while (!st.hasMoreTokens()) {
            st = new StringTokenizer(br.readLine());
        }
        return st.nextToken();
    }
}