from itertools import accumulate

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

lparens = []
for c in S:
    v = 1 if c == '(' else -1
    lparens.append(v)

acc_lparens = list(accumulate(lparens))

ns = len(S)
dp = [[0] * (ns+1) for _ in range(ns+1)]
dp[0][0] = 1
for i, c in enumerate(S):
    pp = [[0] * (ns+1) for _ in range(ns+1)]
    dp, pp = pp, dp
    lcnt = acc_lparens[i] + 2
    # print(f'{i=} {lcnt=}')
    if c == '(':
        # 赤を増やす
        for j in range(ns):
            if j == lcnt: break
            for k in range(ns):
                if j+k == lcnt: break
                dp[j+1][k] += pp[j][k]
                dp[j+1][k] %= MOD

        # 青を増やす
        for j in range(ns):
            if j == lcnt: break
            for k in range(ns):
                if j+k == lcnt: break
                dp[j][k+1] += pp[j][k]
                dp[j][k+1] %= MOD
    elif c == ')':
        # 赤を減らす
        for j in range(ns):
            if j == lcnt: break
            for k in range(ns):
                if j+k == lcnt: break
                if j == 0: continue
                dp[j-1][k] += pp[j][k]
                dp[j-1][k] %= MOD

        # 青を減らす
        for j in range(ns):
            if j == lcnt: break
            for k in range(ns):
                if j+k == lcnt: break
                if k == 0: continue
                dp[j][k-1] += pp[j][k]
                dp[j][k-1] %= MOD

ans = dp[0][0]
print(ans)