結果

問題 No.189 SUPER HAPPY DAY
ユーザー lam6er
提出日時 2025-03-20 21:18:14
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 115 ms / 5,000 ms
コード長 2,398 bytes
コンパイル時間 140 ms
コンパイル使用メモリ 82,296 KB
実行使用メモリ 77,356 KB
最終ジャッジ日時 2025-03-20 21:19:23
合計ジャッジ時間 2,734 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge3
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ファイルパターン 結果
sample AC * 3
other AC * 23
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 = 10**9 + 9

def compute_counts(num_str):
    num = list(map(int, num_str))
    n = len(num)
    max_sum = 9 * n
    current_dp = [[[0] * (max_sum + 1) for _ in range(2)] for __ in range(2)]
    current_dp[1][1][0] = 1  # Initial state: tight=True, leading_zero=True, sum=0
    
    for i in range(n):
        next_dp = [[[0] * (max_sum + 1) for _ in range(2)] for __ in range(2)]
        for tight in [0, 1]:
            for leading_zero in [0, 1]:
                for current_sum in range(max_sum + 1):
                    count = current_dp[tight][leading_zero][current_sum]
                    if count == 0:
                        continue
                    upper = num[i] if tight else 9
                    for d in range(0, upper + 1):
                        new_tight = tight and (d == upper)
                        new_leading_zero = leading_zero and (d == 0)
                        if new_leading_zero:
                            new_sum = current_sum
                        else:
                            new_sum = current_sum + d
                            if new_sum > max_sum:
                                continue  # Skip if sum exceeds max possible
                        next_dp[new_tight][new_leading_zero][new_sum] = (
                            next_dp[new_tight][new_leading_zero][new_sum] + count
                        ) % MOD
        current_dp = next_dp
    
    total_counts = [0] * (max_sum + 1)
    for tight in [0, 1]:
        for leading_zero in [0, 1]:
            for s in range(max_sum + 1):
                cnt = current_dp[tight][leading_zero][s]
                if leading_zero:
                    total_counts[0] = (total_counts[0] + cnt) % MOD
                else:
                    if s <= max_sum:
                        total_counts[s] = (total_counts[s] + cnt) % MOD
    
    # Subtract 1 from sum 0 (number 0 is invalid)
    total_counts[0] = (total_counts[0] - 1) % MOD
    
    count_dict = {}
    for s in range(max_sum + 1):
        if total_counts[s] > 0:
            count_dict[s] = total_counts[s]
    return count_dict

M, D = input().split()

count_m = compute_counts(M)
count_d = compute_counts(D)

max_possible_s = 9 * 200  # Since M and D can be up to 10^200 digits
result = 0
for s in range(max_possible_s + 1):
    m = count_m.get(s, 0)
    d = count_d.get(s, 0)
    result = (result + m * d) % MOD

print(result)
0