import sys
input = sys.stdin.readline

mod = 998244353

N = int(input())
S = list(input().rstrip())

dp = [0]*(N+1)
dp[0] = 1
r = 0
for s in S:
    t = 1 if s == "(" else -1
    ndp = [0]*(N+1)
    for i in range(N):
        if t == 1:
            ndp[i+1] += dp[i]
            ndp[i] += dp[i]
        else:
            if i-1 >= 0:
                ndp[i-1] += dp[i]
            if r - i > 0:
                ndp[i] += dp[i]
        ndp[i-1] %= mod
    r += t
    dp = ndp

print(dp[0])