n=int(input())
mod=998244353
s=[0]+list(input())
for i in range(1,n+1):
    if s[i]=="(":s[i]=1
    else:s[i]=-1

wa=[0]*(n+1)
for i in range(1,n+1):
    wa[i]=wa[i-1]+s[i]
dp=[[0]*(n+10) for i in range(n+3)]
dp[0][0]=1
for i in range(n):
    for red in range(n+1):
        dp[i][red]%=mod
        res=dp[i][red]
        blue=wa[i]-red
        if blue<0:continue
        if red+s[i+1]>=0:dp[i+1][red+s[i+1]]+=res
        if blue+s[i+1]>=0:dp[i+1][red]+=res


print(dp[n][0]%mod)