MOD = 998244353
N = int(input())
N2 = N // 2
S = input()
X = [0] * (N2 + 1)
X[0] = 1
level = 0
for i, s in enumerate(S):
    if s == "(":
        level += 1
        for j in reversed(range(level)):
            X[j + 1] += X[j]
            X[j + 1] %= MOD
    else:
        for j in range(level):
            X[j] += X[j + 1]
            X[j] %= MOD
        X[level] = 0
        level -= 1

print(X[0])