{ "data": { "question": { "questionId": "3980", "questionFrontendId": "3652", "categoryTitle": "Algorithms", "boundTopicId": 3754547, "title": "Best Time to Buy and Sell Stock using Strategy", "titleSlug": "best-time-to-buy-and-sell-stock-using-strategy", "content": "

You are given two integer arrays prices and strategy, where:

\n\n\n\n

You are also given an even integer k, and may perform at most one modification to strategy. A modification consists of:

\n\n\n\n

The profit is defined as the sum of strategy[i] * prices[i] across all days.

\n\n

Return the maximum possible profit you can achieve.

\n\n

Note: There are no constraints on budget or stock ownership, so all buy and sell operations are feasible regardless of past actions.

\n\n

 

\n

Example 1:

\n\n
\n

Input: prices = [4,2,8], strategy = [-1,0,1], k = 2

\n\n

Output: 10

\n\n

Explanation:

\n\n\n\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\n\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\n
ModificationStrategyProfit CalculationProfit
Original[-1, 0, 1](-1 × 4) + (0 × 2) + (1 × 8) = -4 + 0 + 84
Modify [0, 1][0, 1, 1](0 × 4) + (1 × 2) + (1 × 8) = 0 + 2 + 810
Modify [1, 2][-1, 0, 1](-1 × 4) + (0 × 2) + (1 × 8) = -4 + 0 + 84
\n\n

Thus, the maximum possible profit is 10, which is achieved by modifying the subarray [0, 1]​​​​​​​.

\n
\n\n

Example 2:

\n\n
\n

Input: prices = [5,4,3], strategy = [1,1,0], k = 2

\n\n

Output: 9

\n\n

Explanation:

\n\n
\n\n\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\n\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\n
ModificationStrategyProfit CalculationProfit
Original[1, 1, 0](1 × 5) + (1 × 4) + (0 × 3) = 5 + 4 + 09
Modify [0, 1][0, 1, 0](0 × 5) + (1 × 4) + (0 × 3) = 0 + 4 + 04
Modify [1, 2][1, 0, 1](1 × 5) + (0 × 4) + (1 × 3) = 5 + 0 + 38
\n\n

Thus, the maximum possible profit is 9, which is achieved without any modification.

\n
\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "按策略买卖股票的最佳时机", "translatedContent": "

给你两个整数数组 prices 和 strategy，其中：

\n\n\n\n

同时给你一个 偶数 整数 k，你可以对 strategy 进行 最多一次 修改。一次修改包括：

\n\n\n\n

利润 定义为所有天数中 strategy[i] * prices[i] 的 总和 。

\n\n

返回你可以获得的 最大 可能利润。

\n\n

注意： 没有预算或股票持有数量的限制，因此所有买入和卖出操作均可行，无需考虑过去的操作。

\n\n

 

\n\n

示例 1：

\n\n
\n

输入： prices = [4,2,8], strategy = [-1,0,1], k = 2

\n\n

输出： 10

\n\n

解释：

\n\n\n\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\n\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\n
修改策略利润计算利润
原始[-1, 0, 1](-1 × 4) + (0 × 2) + (1 × 8) = -4 + 0 + 84
修改 [0, 1][0, 1, 1](0 × 4) + (1 × 2) + (1 × 8) = 0 + 2 + 810
修改 [1, 2][-1, 0, 1](-1 × 4) + (0 × 2) + (1 × 8) = -4 + 0 + 84
\n\n

因此，最大可能利润是 10，通过修改子数组 [0, 1] 实现。

\n
\n\n

示例 2：

\n\n
\n

输入： prices = [5,4,3], strategy = [1,1,0], k = 2

\n\n

输出： 9

\n\n

解释：

\n\n
\n\n\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\n\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\t\n\t\t\n\t\n
修改策略利润计算利润
原始[1, 1, 0](1 × 5) + (1 × 4) + (0 × 3) = 5 + 4 + 09
修改 [0, 1][0, 1, 0](0 × 5) + (1 × 4) + (0 × 3) = 0 + 4 + 04
修改 [1, 2][1, 0, 1](1 × 5) + (0 × 4) + (1 × 3) = 5 + 0 + 38
\n\n

因此，最大可能利润是 9，无需任何修改即可达成。

\n
\n
\n\n

 

\n\n

提示：

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