結果

問題 No.2026 Yet Another Knapsack Problem
ユーザー gew1fw
提出日時 2025-06-12 21:03:51
言語 PyPy3
(7.3.15)
結果
TLE  
実行時間 -
コード長 2,525 bytes
コンパイル時間 192 ms
コンパイル使用メモリ 81,912 KB
実行使用メモリ 80,272 KB
最終ジャッジ日時 2025-06-12 21:05:49
合計ジャッジ時間 34,031 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge1
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ファイルパターン 結果
sample AC * 3
other AC * 35 TLE * 1 -- * 6
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ソースコード

diff # 

def main():
    import sys
    input = sys.stdin.read().split()
    idx = 0
    N = int(input[idx])
    idx += 1
    
    items = []
    for i in range(1, N+1):
        c = int(input[idx])
        v = int(input[idx+1])
        idx += 2
        items.append((i, c, v))
    
    # Separate the first item (type 1)
    type1 = items[0]
    items = items[1:]
    
    # Initialize DP for other items
    INF = -10**18
    dp_other = [[INF] * (N + 1) for _ in range(N + 1)]
    dp_other[0][0] = 0
    
    for i in range(len(items)):
        item_i = items[i]
        weight_i = item_i[0]
        count_i = item_i[1]
        value_i = item_i[2]
        
        for k in range(N, -1, -1):
            for w in range(N, -1, -1):
                if dp_other[k][w] == INF:
                    continue
                max_x = min(count_i, (N - w) // weight_i)
                for x in range(1, max_x + 1):
                    new_k = k + x
                    new_w = w + x * weight_i
                    if new_k > N or new_w > N:
                        break
                    new_val = dp_other[k][w] + x * value_i
                    if new_val > dp_other[new_k][new_w]:
                        dp_other[new_k][new_w] = new_val
    
    # Precompute max_v_other
    max_v_other = [[INF] * (N + 1) for _ in range(N + 1)]
    for k in range(N+1):
        current_max = INF
        for w in range(N+1):
            if dp_other[k][w] > current_max:
                current_max = dp_other[k][w]
            max_v_other[k][w] = current_max
    
    c1, v1 = type1[1], type1[2]
    
    # Compute the answer for each k
    answers = []
    for k in range(1, N+1):
        max_val = INF
        max_t = min(k, c1, N)
        for t in range(0, max_t + 1):
            k_remaining = k - t
            w_remaining = N - t
            if k_remaining < 0 or w_remaining < 0:
                continue
            if k_remaining > N or w_remaining > N:
                continue
            current_val = t * v1
            if k_remaining > N:
                continue
            if w_remaining > N:
                w_remaining_clipped = N
            else:
                w_remaining_clipped = w_remaining
            if k_remaining <= N and w_remaining_clipped >= 0:
                current_val += max_v_other[k_remaining][w_remaining_clipped]
            if current_val > max_val:
                max_val = current_val
        answers.append(max_val)
    
    for ans in answers:
        print(ans)

if __name__ == '__main__':
    main()
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