def acum(List):#累積和
    rev = [0 for _ in range(len(List))]
    for i in range(len(List)):
        if i == 0:
            rev[i] = List[i]
        else:
           rev[i] = rev[i-1] + List[i] 
    return rev
N = int(input())
S = [''] + list(input())
d = [0]
for s in S[1:]:
    if s == '(':
        d += [1]
    else:
        d += [-1]
d = acum(d)
dp = [[0] *(N+1) for _ in range(N+1)]
dp[0][0] = 1
mod = 998244353
for i in range(N):
    for r in range(N+1):
        if d[i+1]-r >= 0:
            dp[i+1][r] += dp[i][r]
        if S[i+1] == '(':
            if r + 1 <= N and d[i+1]-(r+1) >= 0:
                dp[i+1][r+1] += dp[i][r]
        else:
            if r -1 >= 0 and d[i+1]-(r-1) >= 0:
                dp[i+1][r-1] += dp[i][r]
        dp[i+1][r] %= mod
ans = dp[N][0]%mod
print(ans)