mod=998244353
n=int(input())
S=input()
m=n//2+10

dp=[0]*m
dp[0]=1

now=0
for s in S:
  dpn=[0]*m
  if s=='(':
    for i in range(now+1):
      dpn[i]+=dp[i]
      if i!=m-1:
        dpn[i+1]+=dp[i]
    now+=1
  else:
    for i in range(now+1):
      dpn[i]+=dp[i]
      if i!=0:
        dpn[i-1]+=dp[i]
    now-=1
  if now<0 or now>n//2+5:
    print(0)
    exit()
  
  dp=[i%mod for i in dpn]
if now==0:
  print(dp[0])
else:
  print(0)