import sys
input = lambda :sys.stdin.readline()[:-1]
ni = lambda :int(input())
na = lambda :list(map(int,input().split()))
yes = lambda :print("yes");Yes = lambda :print("Yes");YES = lambda : print("YES")
no = lambda :print("no");No = lambda :print("No");NO = lambda : print("NO")
#######################################################################
n = ni()
s = [[-1,1][i == "("]for i in input()]
d = [0]
for i in range(n):
    d.append(d[-1] + s[i])

dp = [[0 for j in range(n//2+1)]for i in range(n+1)]
dp[0][0] = 1
mod = 998244353
for i in range(n):
    for j in range(n//2+1):
        now = dp[i][j]
        if now == 0:
            continue
        ni = i + 1
        # ()
        nj = j + s[i]
        nk = d[i+1] - nj
        if 0 <= nj <= n//2 and 0 <= nk <= n//2:
            dp[ni][nj] += now
            dp[ni][nj] %= mod
        # []
        nj = j
        nk = d[i+1] - nj
        if 0 <= nj <= n//2 and 0 <= nk <= n//2:
            dp[ni][nj] += now
            dp[ni][nj] %= mod
print(dp[-1][0])