MOD = 998244353

s = input().strip()

from collections import defaultdict

dp = defaultdict(int)
dp[(0, 0)] = 1

for c in s:
    new_dp = defaultdict(int)
    for (prev_min, prev_max), cnt in dp.items():
        if c == '.':
            # Replace with '('
            new_min = prev_min + 1
            new_max = prev_max + 1
            new_min_clamped = new_min
            new_max_clamped = new_max
            if new_max_clamped >= 0:
                new_dp[(new_min_clamped, new_max_clamped)] = (new_dp[(new_min_clamped, new_max_clamped)] + cnt) % MOD
            
            # Replace with ')'
            new_min = prev_min - 1
            new_max = prev_max - 1
            new_min_clamped = max(new_min, 0)
            new_max_clamped = new_max
            if new_max_clamped >= 0:
                new_dp[(new_min_clamped, new_max_clamped)] = (new_dp[(new_min_clamped, new_max_clamped)] + cnt) % MOD
            
            # Replace with '?'
            new_min = prev_min - 1
            new_max = prev_max + 1
            new_min_clamped = max(new_min, 0)
            new_max_clamped = new_max
            if new_max_clamped >= 0:
                new_dp[(new_min_clamped, new_max_clamped)] = (new_dp[(new_min_clamped, new_max_clamped)] + cnt) % MOD
        else:
            if c == '(':
                new_min = prev_min + 1
                new_max = prev_max + 1
            elif c == ')':
                new_min = prev_min - 1
                new_max = prev_max - 1
            else:  # '?'
                new_min = prev_min - 1
                new_max = prev_max + 1
            
            new_min_clamped = max(new_min, 0)
            new_max_clamped = new_max
            if new_max_clamped >= 0:
                new_dp[(new_min_clamped, new_max_clamped)] = (new_dp[(new_min_clamped, new_max_clamped)] + cnt) % MOD
    dp = new_dp

result = 0
for (min_b, max_b), cnt in dp.items():
    if min_b <= 0 <= max_b:
        result = (result + cnt) % MOD

print(result)