N=int(input())
S=input()
mod=998244353
if S[1]==')':
  ans=pow(2,N//2,mod)
  print(ans)
else:
  u=[1]*(N+1)
  u2=[1]*(N+1)
  for i in range(1,N+1):
    u[i]=u[i-1]*i
    u[i]%=mod
    u2[i]=pow(u[i],-1,mod)
  def ncm(x,y):
    ans=u[x]*u2[y]
    ans%=mod
    ans*=u2[x-y]
    ans%=mod
    return ans
  result=0
  y=N//2
  for x in range(N//2+1):
    ans=ncm(y,x)*ncm(y,x)
    ans%=mod
    result+=ans
    result%=mod
  print(result)