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

public class Main {
    static final int MOD = 998244353;
    public static void main(String[] args) throws Exception {
        Scanner sc = new Scanner();
        int n = sc.nextInt();
        char[] inputs = sc.next().toCharArray();
        int size = n / 2;
        int[] dp = new int[size + 1];
        dp[0] = 1;
        int current = 0;
        for (int i = 1; i <= n; i++) {
            if (inputs[i - 1] == '(') {
                current++;
                for (int j = current; j >= 1; j--) {
                    dp[j] += dp[j - 1];
                    dp[j] %= MOD;
                }
            } else {
                current--;
                for (int j = 0; j <= current; j++) {
                    dp[j] += dp[j + 1];
                    dp[j] %= MOD;
                }
                for (int j = current + 1; j <= size; j++) {
                    dp[j] = 0;
                }
            }
        }
        System.out.println(dp[0]);
    }
}
class Utilities {
    static String arrayToLineString(Object[] arr) {
        return Arrays.stream(arr).map(x -> x.toString()).collect(Collectors.joining("\n"));
    }
    
    static String arrayToLineString(int[] arr) {
        return String.join("\n", Arrays.stream(arr).mapToObj(String::valueOf).toArray(String[]::new));
    }
}
class Scanner {
    BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    StringTokenizer st = new StringTokenizer("");
    StringBuilder sb = new StringBuilder();
    
    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 int[] nextIntArray() throws Exception {
        return Stream.of(br.readLine().split(" ")).mapToInt(Integer::parseInt).toArray();
    }
    
    public String next() throws Exception {
        while (!st.hasMoreTokens()) {
            st = new StringTokenizer(br.readLine());
        }
        return st.nextToken();
    }
    
}