結果

問題 No.2026 Yet Another Knapsack Problem
ユーザー gew1fw
提出日時 2025-06-12 20:30:47
言語 PyPy3
(7.3.15)
結果
TLE  
実行時間 -
コード長 1,908 bytes
コンパイル時間 164 ms
コンパイル使用メモリ 82,640 KB
実行使用メモリ 198,464 KB
最終ジャッジ日時 2025-06-12 20:31:44
合計ジャッジ時間 22,987 ms
ジャッジサーバーID
(参考情報)
judge5 / judge3
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 * 3
other AC * 35 TLE * 1 -- * 6
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

def main():
    input = sys.stdin.read().split()
    ptr = 0
    N = int(input[ptr])
    ptr += 1
    
    v1 = 0
    items = []
    for i in range(1, N+1):
        c = int(input[ptr])
        v = int(input[ptr+1])
        ptr +=2
        if i == 1:
            v1 = v
        else:
            items.append((i, c, v))
    
    INF = -1e18
    dp = [[INF]*(N+1) for _ in range(N+1)]
    dp[0][0] = 0
    
    for i, c, v in items:
        s_list = []
        remaining = c
        bit = 1
        while remaining > 0:
            take = min(bit, remaining)
            s_list.append(take)
            remaining -= take
            bit <<= 1
        
        for s_part in s_list:
            added_num = s_part
            added_s = s_part * (i-1)
            added_val = s_part * v
            for t in range(N, added_num-1, -1):
                for current_s in range(N - (t - added_num), added_s-1, -1):
                    prev_s = current_s - added_s
                    if prev_s >= 0 and dp[t - added_num][prev_s] != INF:
                        if dp[t][current_s] < dp[t - added_num][prev_s] + added_val:
                            dp[t][current_s] = dp[t - added_num][prev_s] + added_val
    
    max_prefix = [[INF]*(N+1) for _ in range(N+1)]
    for t in range(N+1):
        current_max = INF
        for s in range(N+1):
            if dp[t][s] > current_max:
                current_max = dp[t][s]
            max_prefix[t][s] = current_max
    
    for k in range(1, N+1):
        best = INF
        for t in range(0, k+1):
            s_max = N - k
            if s_max < 0:
                continue
            s_max = min(s_max, N - t)
            if s_max < 0:
                continue
            current_val = max_prefix[t][s_max] + (k - t) * v1
            if current_val > best:
                best = current_val
        print(best)

if __name__ == "__main__":
    main()
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