結果
問題 |
No.2026 Yet Another Knapsack Problem
|
ユーザー |
![]() |
提出日時 | 2025-04-16 00:32:38 |
言語 | PyPy3 (7.3.15) |
結果 |
WA
|
実行時間 | - |
コード長 | 1,955 bytes |
コンパイル時間 | 259 ms |
コンパイル使用メモリ | 82,456 KB |
実行使用メモリ | 82,928 KB |
最終ジャッジ日時 | 2025-04-16 00:34:51 |
合計ジャッジ時間 | 32,423 ms |
ジャッジサーバーID (参考情報) |
judge1 / judge4 |
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ファイルパターン | 結果 |
---|---|
sample | WA * 3 |
other | WA * 35 TLE * 1 -- * 6 |
ソースコード
def main(): import sys 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)) m_max = N // 2 INF = float('-inf') dp = [[INF] * (N + 1) for _ in range(m_max + 1)] dp[0][0] = 0 for (i, c, v) in items: max_t = min(c, N // i) remaining = max_t t = 1 while remaining > 0: current_t = min(t, remaining) for m in range(m_max, -1, -1): for w in range(N, -1, -1): if dp[m][w] == INF: continue new_m = m + current_t new_w = w + current_t * i if new_m > m_max or new_w > N: continue if dp[new_m][new_w] < dp[m][w] + current_t * v: dp[new_m][new_w] = dp[m][w] + current_t * v remaining -= current_t t <<= 1 max_val = [[-INF] * (N + 1) for _ in range(m_max + 1)] for m in range(m_max + 1): current_max = -INF for w in range(N + 1): if dp[m][w] > current_max: current_max = dp[m][w] max_val[m][w] = current_max for k in range(1, N + 1): ans = -INF max_m = min(k, m_max) for m in range(0, max_m + 1): remaining = k - m upper_w = N - remaining lower_w = 2 * m if upper_w < lower_w or upper_w < 0: continue if upper_w > N: upper_w = N current_val = max_val[m][upper_w] + remaining * v1 if current_val > ans: ans = current_val print(ans) if __name__ == '__main__': main()