import sys
input = sys.stdin.readline

N=int(input())
S=input().strip()

mod=998244353

SUM=[0]
for s in S:
    if s=="(":
        SUM.append(SUM[-1]+1)
    else:
        SUM.append(SUM[-1]-1)

MAX=max(SUM)+1
DP=[0]*MAX
DP[0]=1

for i in range(N):
    NDP=[0]*MAX
    x=SUM[i+1]

    for j in range(MAX):
        if S[i]=="(":
            if j+1<MAX:
                NDP[j+1]+=DP[j]
            NDP[j]+=DP[j]
        else:
            if j-1>=0:
                NDP[j-1]+=DP[j]
            if x-j>=0:
                NDP[j]+=DP[j]

    DP=[x%mod for x in NDP]

print(DP[0])