mod = 998244353
n = int(input())
s = input()
dp = [[0] * (n+1) for i in range(n+1)]
dp[0][0] = 1

tmp = 0
for i in range(n):
	if s[i] == "(":
		tmp += 1
		for j in range(n+1):
			if j+1 <= n:
				dp[i+1][j+1] += dp[i][j]
				dp[i+1][j+1] %= mod
			if tmp-j >= 0:
				dp[i+1][j] += dp[i][j]
				dp[i+1][j] %= mod
	else:
		tmp -= 1
		for j in range(n+1):
			if j-1 >= 0:
				dp[i+1][j-1] += dp[i][j]
				dp[i+1][j-1] %= mod
			if tmp-j >= 0:
				dp[i+1][j] += dp[i][j]
				dp[i+1][j] %= mod

print(dp[n][0])