import java.io.BufferedReader;
import java.io.InputStreamReader;

public class Main {
	public static void main(String[] args) throws Exception {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		int n = Integer.parseInt(br.readLine());
		char[] s = br.readLine().toCharArray();
		br.close();

		int mod = 998244353;
		int[] a = new int[n + 1];
		for (int i = 0; i < n; i++) {
			if (s[i] == '(') {
				a[i + 1] = a[i] + 1;
			} else {
				a[i + 1] = a[i] - 1;
			}
		}

		long[][] dp = new long[n + 1][n + 1];
		dp[0][0] = 1;
		for (int i = 0; i < n; i++) {
			if (s[i] == '(') {
				for (int j = 0; j <= a[i]; j++) {
					dp[i + 1][j + 1] += dp[i][j];
					dp[i + 1][j + 1] %= mod;
					dp[i + 1][j] += dp[i][j];
					dp[i + 1][j] %= mod;
				}
			} else {
				for (int j = 1; j <= a[i]; j++) {
					dp[i + 1][j - 1] += dp[i][j];
					dp[i + 1][j - 1] %= mod;
				}
				for (int j = 0; j < a[i]; j++) {
					dp[i + 1][j] += dp[i][j];
					dp[i + 1][j] %= mod;
				}
			}
		}
		System.out.println(dp[n][0]);
	}
}