結果

問題 No.315 世界のなんとか3.5
ユーザー lam6er
提出日時 2025-04-16 16:29:29
言語 PyPy3
(7.3.15)
結果
TLE  
実行時間 -
コード長 2,727 bytes
コンパイル時間 442 ms
コンパイル使用メモリ 82,040 KB
実行使用メモリ 86,324 KB
最終ジャッジ日時 2025-04-16 16:31:10
合計ジャッジ時間 4,888 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge3
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ファイルパターン 結果
other AC * 12 TLE * 1 -- * 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 # 

import sys
from collections import defaultdict

MOD = 10**9 + 7

def subtract_one(s):
    s_list = list(s)
    i = len(s_list) - 1
    while i >= 0 and s_list[i] == '0':
        s_list[i] = '9'
        i -= 1
    if i < 0:
        return '0'
    s_list[i] = str(int(s_list[i]) - 1)
    if s_list[0] == '0' and len(s_list) > 1:
        return ''.join(s_list).lstrip('0') or '0'
    return ''.join(s_list)

def count_aho(s, P_val):
    n = len(s)
    dp_prev = defaultdict(int)
    dp_prev[(True, 0, False, True)] = 1

    for i in range(n):
        dp_curr = defaultdict(int)
        digit = int(s[i])
        for (tight, mod3, has3, leading_zero), cnt in dp_prev.items():
            max_d = digit if tight else 9
            for d in range(0, max_d + 1):
                new_tight = tight and (d == max_d)
                new_leading_zero = leading_zero and (d == 0)
                new_mod3 = (mod3 * 10 + d) % 3
                new_has3 = has3 or (d == 3)
                key = (new_tight, new_mod3, new_has3, new_leading_zero)
                dp_curr[key] = (dp_curr[key] + cnt) % MOD
        dp_prev = dp_curr

    res = 0
    for (tight, mod3, has3, leading_zero), cnt in dp_prev.items():
        if not leading_zero and (mod3 == 0 or has3):
            res = (res + cnt) % MOD
    return res

def count_aho_p(s, P_val):
    n = len(s)
    dp_prev = defaultdict(int)
    dp_prev[(True, 0, 0, False, True)] = 1

    for i in range(n):
        dp_curr = defaultdict(int)
        digit = int(s[i])
        for (tight, mod3, modP, has3, leading_zero), cnt in dp_prev.items():
            max_d = digit if tight else 9
            for d in range(0, max_d + 1):
                new_tight = tight and (d == max_d)
                new_leading_zero = leading_zero and (d == 0)
                new_mod3 = (mod3 * 10 + d) % 3
                new_modP = (modP * 10 + d) % P_val
                new_has3 = has3 or (d == 3)
                key = (new_tight, new_mod3, new_modP, new_has3, new_leading_zero)
                dp_curr[key] = (dp_curr[key] + cnt) % MOD
        dp_prev = dp_curr

    res = 0
    for (tight, mod3, modP, has3, leading_zero), cnt in dp_prev.items():
        if not leading_zero and (mod3 == 0 or has3) and modP == 0:
            res = (res + cnt) % MOD
    return res

def main():
    A, B, P = sys.stdin.read().split()
    P_val = int(P)
    A_minus_1 = subtract_one(A)
    
    fB = count_aho(B, P_val)
    fA = count_aho(A_minus_1, P_val) if A != '0' else 0
    total_f = (fB - fA) % MOD
    
    gB = count_aho_p(B, P_val)
    gA = count_aho_p(A_minus_1, P_val) if A != '0' else 0
    total_g = (gB - gA) % MOD
    
    ans = (total_f - total_g) % MOD
    print(ans)

if __name__ == "__main__":
    main()
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