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(); } }