N = int(input())
S = input()
P = 998244353

C = (N // 2) + 1
dp = [0] * C
dp[0] = 1
now = 0
for s in S:
    nx = [0] * C
    for red in range(C):
        blue = now - red
        if blue < 0:continue
        if s == "(":
            if red < C - 1:
                nx[red + 1] += dp[red]
            nx[red] += dp[red]
        else:
            if red > 0:
                nx[red - 1] += dp[red]
            if blue > 0:
                nx[red] += dp[red]
    for red in range(C):
        nx[red] %= P
    dp = nx
    if s == "(":
        now += 1
    else:
        now -= 1
print(dp[0])