結果

問題 No.2106 Wild Cacco
ユーザー gew1fw
提出日時 2025-06-12 15:57:08
言語 PyPy3
(7.3.15)
結果
TLE  
実行時間 -
コード長 1,733 bytes
コンパイル時間 142 ms
コンパイル使用メモリ 82,248 KB
実行使用メモリ 279,904 KB
最終ジャッジ日時 2025-06-12 15:57:37
合計ジャッジ時間 4,488 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge5
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 5
other AC * 7 TLE * 1 -- * 22
権限があれば一括ダウンロードができます

ソースコード

diff # 

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)
0