import sys

# sys.setrecursionlimit(200005)
int1 = lambda x: int(x)-1
pDB = lambda *x: print(*x, end="\n", file=sys.stderr)
p2D = lambda x: print(*x, sep="\n", end="\n\n", file=sys.stderr)
def II(): return int(sys.stdin.readline())
def LI(): return list(map(int, sys.stdin.readline().split()))
def LLI(rows_number): return [LI() for _ in range(rows_number)]
def LI1(): return list(map(int1, sys.stdin.readline().split()))
def LLI1(rows_number): return [LI1() for _ in range(rows_number)]
def SI(): return sys.stdin.readline().rstrip()
# dij = [(0, 1), (-1, 0), (0, -1), (1, 0)]
# dij = [(0, 1), (-1, 0), (0, -1), (1, 0), (1, 1), (1, -1), (-1, 1), (-1, -1)]
inf = (1 << 63)-1
# inf = (1 << 31)-1
# md = 10**9+7
md = 998244353

n = II()
s = SI()
m = n//2

dp = [1]+[0]*m
t = 0
for c in s:
    if c == "(":
        t += 1
        for i in range(m)[::-1]:
            if i+1 > t:
                dp[i+1] = 0
            else:
                dp[i+1] += dp[i]
                dp[i+1] %= md
    else:
        t -= 1
        for i in range(m):
            if i > t:
                dp[i] = 0
            else:
                dp[i] += dp[i+1]
                dp[i] %= md
    # print(dp)

print(dp[0])