import copy
n = int(input())
s = input()
mod = 998244353
dpb = [[0]*(n//2+1) for i in range((n//2+1))]
dpn = [[0]*(n//2+1) for i in range((n//2+1))]

cnt = 1
dpb[0][1] = 1
dpb[1][0] = 1

for i in range(1,n):
    #dpn = ori[:]
    #print(dpn,ori,"ori_??")
    if s[i] == "(":
        cnt += 1
        for j in range(cnt):
            dpn[cnt-1-j][j+1] += dpb[cnt-1-j][j]
            dpn[cnt-1-j][j+1] %= mod
            dpn[cnt-j][j] += dpb[cnt-1-j][j]
            dpn[cnt-j][j] %= mod
    else:
        for j in range(cnt):
            dpn[cnt-1-j][j] += dpb[cnt-j][j]
            dpn[cnt-1-j][j] %= mod
            dpn[cnt-1-j][j] += dpb[cnt-j-1][j+1]
            dpn[cnt-1-j][j] %= mod
            #print(cnt-j,j)
        #cnt -= 1
    dpb = copy.deepcopy(dpn)
    #print(dpn,dpb)
    if s[i] == "(":
        for j in range(cnt):
            dpn[cnt-1-j][j+1] = 0
            dpn[cnt-j][j] = 0
    else:
        for j in range(cnt):
            dpn[cnt-1-j][j] = 0
            dpn[cnt-1-j][j] = 0
        cnt -= 1
            
print(dpb[0][0]%mod)