MOD = 998244353

s = input().strip()
n = len(s)

from collections import defaultdict

# Initialize DP with the starting state (balance 0, count 1)
dp = defaultdict(int)
dp[(0, 0)] = 1

for i in range(n):
    new_dp = defaultdict(int)
    current_char = s[i]
    for (lo_prev, hi_prev), cnt in dp.items():
        if current_char == '.':
            # Replace with '('
            new_lo = lo_prev + 1
            new_hi = hi_prev + 1
            new_dp[(new_lo, new_hi)] = (new_dp[(new_lo, new_hi)] + cnt) % MOD

            # Replace with ')'
            new_lo_r = max(lo_prev - 1, 0)
            new_hi_r = hi_prev - 1
            if new_hi_r >= 0:
                new_dp[(new_lo_r, new_hi_r)] = (new_dp[(new_lo_r, new_hi_r)] + cnt) % MOD

            # Replace with '?'
            new_lo_q = max(lo_prev - 1, 0)
            new_hi_q = hi_prev + 1
            new_dp[(new_lo_q, new_hi_q)] = (new_dp[(new_lo_q, new_hi_q)] + cnt) % MOD
        else:
            if current_char == '(':
                new_lo = lo_prev + 1
                new_hi = hi_prev + 1
                new_dp[(new_lo, new_hi)] = (new_dp[(new_lo, new_hi)] + cnt) % MOD
            elif current_char == ')':
                new_lo = max(lo_prev - 1, 0)
                new_hi = hi_prev - 1
                if new_hi >= 0:
                    new_dp[(new_lo, new_hi)] = (new_dp[(new_lo, new_hi)] + cnt) % MOD
            else:  # current_char is '?'
                new_lo = max(lo_prev - 1, 0)
                new_hi = hi_prev + 1
                new_dp[(new_lo, new_hi)] = (new_dp[(new_lo, new_hi)] + cnt) % MOD
    dp = new_dp

result = 0
if n % 2 != 0:
    print(0)
else:
    for (lo, hi), cnt in dp.items():
        if lo <= 0 <= hi:
            result = (result + cnt) % MOD
    print(result % MOD)