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Description
tab: English
<p>You are given an integer array <code>prices</code> where <code>prices[i]</code> is the price of a given stock on the <code>i<sup>th</sup></code> day, and an integer <code>k</code>.</p>
<p>Find the maximum profit you can achieve. You may complete at most <code>k</code> transactions: i.e. you may buy at most <code>k</code> times and sell at most <code>k</code> times.</p>
<p><strong>Note:</strong> You may not engage in multiple transactions simultaneously (i.e., you must sell the stock before you buy again).</p>
<p> </p>
<p><strong class="example">Example 1:</strong></p>
<pre>
<strong>Input:</strong> k = 2, prices = [2,4,1]
<strong>Output:</strong> 2
<strong>Explanation:</strong> Buy on day 1 (price = 2) and sell on day 2 (price = 4), profit = 4-2 = 2.
</pre>
<p><strong class="example">Example 2:</strong></p>
<pre>
<strong>Input:</strong> k = 2, prices = [3,2,6,5,0,3]
<strong>Output:</strong> 7
<strong>Explanation:</strong> Buy on day 2 (price = 2) and sell on day 3 (price = 6), profit = 6-2 = 4. Then buy on day 5 (price = 0) and sell on day 6 (price = 3), profit = 3-0 = 3.
</pre>
<p> </p>
<p><strong>Constraints:</strong></p>
<ul>
<li><code>1 <= k <= 100</code></li>
<li><code>1 <= prices.length <= 1000</code></li>
<li><code>0 <= prices[i] <= 1000</code></li>
</ul>
---
[submissions](https://leetcode.com/problems/best-time-to-buy-and-sell-stock-iv/submissions/) | [solutions](https://leetcode.com/problems/best-time-to-buy-and-sell-stock-iv/solutions/)
tab: 中文
<p>给你一个整数数组 <code>prices</code> 和一个整数 <code>k</code> ,其中 <code>prices[i]</code> 是某支给定的股票在第 <code>i</code><em> </em>天的价格。</p>
<p>设计一个算法来计算你所能获取的最大利润。你最多可以完成 <code>k</code> 笔交易。也就是说,你最多可以买 <code>k</code> 次,卖 <code>k</code> 次。</p>
<p><strong>注意:</strong>你不能同时参与多笔交易(你必须在再次购买前出售掉之前的股票)。</p>
<p> </p>
<p><strong class="example">示例 1:</strong></p>
<pre>
<strong>输入:</strong>k = 2, prices = [2,4,1]
<strong>输出:</strong>2
<strong>解释:</strong>在第 1 天 (股票价格 = 2) 的时候买入,在第 2 天 (股票价格 = 4) 的时候卖出,这笔交易所能获得利润 = 4-2 = 2 。</pre>
<p><strong class="example">示例 2:</strong></p>
<pre>
<strong>输入:</strong>k = 2, prices = [3,2,6,5,0,3]
<strong>输出:</strong>7
<strong>解释:</strong>在第 2 天 (股票价格 = 2) 的时候买入,在第 3 天 (股票价格 = 6) 的时候卖出, 这笔交易所能获得利润 = 6-2 = 4 。
随后,在第 5 天 (股票价格 = 0) 的时候买入,在第 6 天 (股票价格 = 3) 的时候卖出, 这笔交易所能获得利润 = 3-0 = 3 。</pre>
<p> </p>
<p><strong>提示:</strong></p>
<ul>
<li><code>1 <= k <= 100</code></li>
<li><code>1 <= prices.length <= 1000</code></li>
<li><code>0 <= prices[i] <= 1000</code></li>
</ul>
---
[提交记录](https://leetcode.cn/problems/best-time-to-buy-and-sell-stock-iv/submissions/) | [题解](https://leetcode.cn/problems/best-time-to-buy-and-sell-stock-iv/solution/)
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