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[] s = sc.next().toCharArray();
        int[] maxes = new int[n];
        maxes[0] = 1;
        for (int i = 1; i < s.length; i++) {
            if (s[i] == '(') {
                maxes[i] = maxes[i - 1] + 1;
            } else {
                maxes[i] = maxes[i - 1] - 1;
            }
        }
        int[][][] dp = new int[n][][];
        dp[0] = new int[2][2];
        dp[0][1][0] = 1;
        dp[0][0][1] = 1;
        for (int i = 1; i < n; i++) {
            dp[i] = new int[maxes[i] + 1][maxes[i] + 1];
            for (int j = 0; j <= maxes[i - 1]; j++) {
                if (s[i] == '(') {
                    dp[i][j + 1][maxes[i - 1] - j] += dp[i - 1][j][maxes[i - 1] - j];
                    dp[i][j + 1][maxes[i - 1] - j] %= MOD;
                    dp[i][j][maxes[i - 1] - j + 1] += dp[i - 1][j][maxes[i - 1] - j];
                    dp[i][j][maxes[i - 1] - j + 1] %= MOD;
                } else {
                    if (j > 0) {
                        dp[i][j - 1][maxes[i - 1] - j] += dp[i - 1][j][maxes[i - 1] - j];
                        dp[i][j - 1][maxes[i - 1] - j] %= MOD;
                    }
                    if (maxes[i - 1] - j > 0) {
                        dp[i][j][maxes[i - 1] - j - 1] += dp[i - 1][j][maxes[i - 1] - j];
                        dp[i][j][maxes[i - 1] - j - 1] %= MOD;
                    }
                }
            }
        }
        System.out.println(dp[n - 1][0][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();
    }
    
}