MOD = 998244353

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

if n % 2 != 0:
    print(0)
    exit()

from collections import defaultdict

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

for c in s:
    new_dp = defaultdict(int)
    for (lo_prev, hi_prev), cnt in dp.items():
        if c == '.':
            # Try replacing with '('
            new_lo = lo_prev + 1
            new_hi = hi_prev + 1
            new_lo_clamped = max(new_lo, 0)
            if new_hi >= 0:
                new_dp[(new_lo_clamped, new_hi)] = (new_dp[(new_lo_clamped, new_hi)] + cnt) % MOD
            
            # Try replacing with ')'
            new_lo = lo_prev - 1
            new_hi = hi_prev - 1
            new_lo_clamped = max(new_lo, 0)
            if new_hi >= 0:
                new_dp[(new_lo_clamped, new_hi)] = (new_dp[(new_lo_clamped, new_hi)] + cnt) % MOD
            
            # Try replacing with '?'
            new_lo = lo_prev - 1
            new_hi = hi_prev + 1
            new_lo_clamped = max(new_lo, 0)
            if new_hi >= 0:
                new_dp[(new_lo_clamped, new_hi)] = (new_dp[(new_lo_clamped, new_hi)] + cnt) % MOD
        else:
            if c == '(':
                new_lo = lo_prev + 1
                new_hi = hi_prev + 1
            elif c == ')':
                new_lo = lo_prev - 1
                new_hi = hi_prev - 1
            else:  # '?'
                new_lo = lo_prev - 1
                new_hi = hi_prev + 1
            new_lo_clamped = max(new_lo, 0)
            if new_hi >= 0:
                new_dp[(new_lo_clamped, new_hi)] = (new_dp[(new_lo_clamped, new_hi)] + cnt) % MOD
    dp = new_dp

total = 0
for (lo, hi), cnt in dp.items():
    if lo <= 0 <= hi:
        total = (total + cnt) % MOD

print(total)