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<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>
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<p>Find the maximum profit you can achieve. You may complete at most <code>k</code> transactions.</p>
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<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>
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<p><strong>Note:</strong> You may not engage in multiple transactions simultaneously (i.e., you must sell the stock before you buy again).</p>
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<p> </p>
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<p><strong>Example 1:</strong></p>
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<p><strong class="example">Example 1:</strong></p>
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<pre>
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<strong>Input:</strong> k = 2, prices = [2,4,1]
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<strong>Explanation:</strong> Buy on day 1 (price = 2) and sell on day 2 (price = 4), profit = 4-2 = 2.
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</pre>
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<p><strong>Example 2:</strong></p>
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<p><strong class="example">Example 2:</strong></p>
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<pre>
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<strong>Input:</strong> k = 2, prices = [3,2,6,5,0,3]
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<p><strong>Constraints:</strong></p>
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<ul>
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<li><code>0 <= k <= 100</code></li>
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<li><code>0 <= prices.length <= 1000</code></li>
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<li><code>1 <= k <= 100</code></li>
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<li><code>1 <= prices.length <= 1000</code></li>
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<li><code>0 <= prices[i] <= 1000</code></li>
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</ul>
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