import collections
N = int(input())
S = list(input())
mod = 998244353
DP = collections.defaultdict(int)
DP[(0,0)]=1
for s in S:
    NDP = collections.defaultdict(int)
    if s=='(':
        for k,v in DP.items():
            red,bule=k
            NDP[(red+1,bule)]=(NDP[(red+1,bule)]+v)%mod
            NDP[(red,bule+1)]=(NDP[(red,bule+1)]+v)%mod
    else:
        for k,v in DP.items():
            red,bule=k
            if red>0:
                NDP[(red-1,bule)]=(NDP[(red-1,bule)]+v)%mod
            if bule>0:
                NDP[(red,bule-1)]=(NDP[(red,bule-1)]+v)%mod
    DP = NDP
print(DP[(0,0)])