## https://yukicoder.me/problems/no/2031

MOD = 998244353


def main():
    N = int(input())
    S = input()

    dp = {(0, 0): 1}
    for s in S:
        new_dp = {}
        if s == "(":
            for key, value in dp.items():
                new_key = (key[0] + 1, key[1])
                if new_key not in new_dp:
                    new_dp[new_key] = 0
                new_dp[new_key] += value
                new_dp[new_key] %= MOD

                new_key = (key[0], key[1] + 1)
                if new_key not in new_dp:
                    new_dp[new_key] = 0
                new_dp[new_key] += value
                new_dp[new_key] %= MOD
        else:
            for key, value in dp.items():
                if key[0] > 0:
                    new_key = (key[0] - 1, key[1])
                    if new_key not in new_dp:
                        new_dp[new_key] = 0
                    new_dp[new_key] += value
                    new_dp[new_key] %= MOD

                if key[1] > 0:
                    new_key = (key[0], key[1] - 1)
                    if new_key not in new_dp:
                        new_dp[new_key] = 0
                    new_dp[new_key] += value
                    new_dp[new_key] %= MOD
        dp = new_dp
    
    if (0, 0) in dp:
        print(dp[(0, 0)])
    else:
        print(0)

            


        

if __name__ == "__main__":
    main()