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"question": {
"questionId": "2094",
"questionFrontendId": "1962",
"categoryTitle": "Algorithms",
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"title": "Remove Stones to Minimize the Total",
"titleSlug": "remove-stones-to-minimize-the-total",
"content": "<p>You are given a <strong>0-indexed</strong> integer array <code>piles</code>, where <code>piles[i]</code> represents the number of stones in the <code>i<sup>th</sup></code> pile, and an integer <code>k</code>. You should apply the following operation <strong>exactly</strong> <code>k</code> times:</p>\n\n<ul>\n\t<li>Choose any <code>piles[i]</code> and <strong>remove</strong> <code>floor(piles[i] / 2)</code> stones from it.</li>\n</ul>\n\n<p><strong>Notice</strong> that you can apply the operation on the <strong>same</strong> pile more than once.</p>\n\n<p>Return <em>the <strong>minimum</strong> possible total number of stones remaining after applying the </em><code>k</code><em> operations</em>.</p>\n\n<p><code>floor(x)</code> is the <b>greatest</b> integer that is <strong>smaller</strong> than or <strong>equal</strong> to <code>x</code> (i.e., rounds <code>x</code> down).</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> piles = [5,4,9], k = 2\n<strong>Output:</strong> 12\n<strong>Explanation:</strong>&nbsp;Steps of a possible scenario are:\n- Apply the operation on pile 2. The resulting piles are [5,4,<u>5</u>].\n- Apply the operation on pile 0. The resulting piles are [<u>3</u>,4,5].\nThe total number of stones in [3,4,5] is 12.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> piles = [4,3,6,7], k = 3\n<strong>Output:</strong> 12\n<strong>Explanation:</strong>&nbsp;Steps of a possible scenario are:\n- Apply the operation on pile 2. The resulting piles are [4,3,<u>3</u>,7].\n- Apply the operation on pile 3. The resulting piles are [4,3,3,<u>4</u>].\n- Apply the operation on pile 0. The resulting piles are [<u>2</u>,3,3,4].\nThe total number of stones in [2,3,3,4] is 12.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= piles.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= piles[i] &lt;= 10<sup>4</sup></code></li>\n\t<li><code>1 &lt;= k &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
"translatedTitle": "移除石子使总数最小",
"translatedContent": "<p>给你一个整数数组 <code>piles</code> ,数组 <strong>下标从 0 开始</strong> ,其中 <code>piles[i]</code> 表示第 <code>i</code> 堆石子中的石子数量。另给你一个整数 <code>k</code> ,请你执行下述操作 <strong>恰好</strong> <code>k</code> 次:</p>\n\n<ul>\n\t<li>选出任一石子堆 <code>piles[i]</code> ,并从中 <strong>移除</strong> <code>floor(piles[i] / 2)</code> 颗石子。</li>\n</ul>\n\n<p><strong>注意:</strong>你可以对 <strong>同一堆</strong> 石子多次执行此操作。</p>\n\n<p>返回执行 <code>k</code> 次操作后,剩下石子的 <strong>最小</strong> 总数。</p>\n\n<p><code>floor(x)</code> 为 <strong>小于</strong> 或 <strong>等于</strong> <code>x</code> 的 <strong>最大</strong> 整数。(即,对 <code>x</code> 向下取整)。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>piles = [5,4,9], k = 2\n<strong>输出:</strong>12\n<strong>解释:</strong>可能的执行情景如下:\n- 对第 2 堆石子执行移除操作,石子分布情况变成 [5,4,<strong><em>5</em></strong>] 。\n- 对第 0 堆石子执行移除操作,石子分布情况变成 [<strong><em>3</em></strong>,4,5] 。\n剩下石子的总数为 12 。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>piles = [4,3,6,7], k = 3\n<strong>输出:</strong>12\n<strong>解释:</strong>可能的执行情景如下:\n- 对第 2 堆石子执行移除操作,石子分布情况变成 [4,3,<strong><em>3</em></strong>,7] 。\n- 对第 3 堆石子执行移除操作,石子分布情况变成 [4,3,3,<strong><em>4</em></strong>] 。\n- 对第 0 堆石子执行移除操作,石子分布情况变成 [<strong><em>2</em></strong>,3,3,4] 。\n剩下石子的总数为 12 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= piles.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= piles[i] &lt;= 10<sup>4</sup></code></li>\n\t<li><code>1 &lt;= k &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
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