結果

問題 No.1004 サイコロの実装 (2)
ユーザー gew1fw
提出日時 2025-06-12 13:59:14
言語 PyPy3
(7.3.15)
結果
WA  
実行時間 -
コード長 2,453 bytes
コンパイル時間 198 ms
コンパイル使用メモリ 82,348 KB
実行使用メモリ 54,596 KB
最終ジャッジ日時 2025-06-12 13:59:17
合計ジャッジ時間 2,722 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge2
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ファイルパターン 結果
sample AC * 2
other AC * 6 WA * 32
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 # 

def main():
    import sys
    a, b, x0, N = map(int, sys.stdin.readline().split())

    if N == 0:
        print(0, 0)
        return

    # Step 1: Compute the mod6 sequence and its cycle
    a_mod6 = a % 6
    b_mod6 = b % 6
    current = x0 % 6
    seen = {}
    sequence_mod6 = []
    index = 0
    while current not in seen:
        seen[current] = index
        sequence_mod6.append(current)
        current = (a_mod6 * current + b_mod6) % 6
        index += 1
    cycle_start = seen[current]
    cycle_length = index - cycle_start

    # Since the entire sequence is periodic after cycle_start (which is 0 for LCG)
    # So we can consider the cycle part only
    T = cycle_length
    parity_list = [ ( (x % 2) ^ 1 ) for x in sequence_mod6 ]

    # Step 2: Generate takahashi and aoki's parity lists
    # Determine their cycle lengths
    if T % 2 == 0:
        T_h = T // 2
        T_a = T // 2
    else:
        T_h = T
        T_a = T

    # Generate the parity lists for each player's cycle
    takahashi_parity = []
    for i in range(T_h):
        idx = (i * 2) % T
        takahashi_parity.append(parity_list[idx])

    aoki_parity = []
    for i in range(T_a):
        idx = (i * 2 + 1) % T
        aoki_parity.append(parity_list[idx])

    # Step 3: Compute cumulative sum mod2 and count of 1s for each cycle
    def compute_ones(parity, cycle_len):
        cum = 0
        res = []
        count = 0
        for p in parity[:cycle_len]:
            cum = (cum + p) % 2
            res.append(cum)
            if cum == 1:
                count += 1
        return res, count

    # For Takahashi
    takahashi_cum, takahashi_cycle_ones = compute_ones(takahashi_parity, T_h)
    # For Aoki
    aoki_cum, aoki_cycle_ones = compute_ones(aoki_parity, T_a)

    # Step 4: Compute the total number of 1s (black stones) for each player
    # Takahashi's turn
    q_t, r_t = divmod(N, T_h)
    total_t_black = q_t * takahashi_cycle_ones
    for i in range(r_t):
        if takahashi_cum[i] == 1:
            total_t_black += 1

    # Aoki's turn
    q_a, r_a = divmod(N, T_a)
    total_a_black = q_a * aoki_cycle_ones
    for i in range(r_a):
        if aoki_cum[i] == 1:
            total_a_black += 1

    # Calculate scores
    t_white = N - total_t_black
    a_white = N - total_a_black
    score_t = min(total_t_black, t_white)
    score_a = min(total_a_black, a_white)

    print(score_t, score_a)

if __name__ == "__main__":
    main()
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