mod = 998244353


def main():
    import sys
    input = sys.stdin.readline

    N = int(input())
    S = input().rstrip('\n')

    dp = [0] * (N + 1)
    dp[0] = 1
    total_balance = 0
    for i, s in enumerate(S):
        if s == "(":
            d = 1
        else:
            d = -1
        dp_new = [0] * (2 * N + 1)
        for j in range(N + 1):
            k = total_balance - j
            if 0 <= j + d <= N:
                dp_new[j + d] = (dp_new[j + d] + dp[j]) % mod
            if 0 <= k + d <= N:
                dp_new[j] = (dp_new[j] + dp[j]) % mod
        total_balance += d
        dp = dp_new
    print(dp[0])


if __name__ == '__main__':
    main()