leetcode-problemset/leetcode-cn/originData/maximum-element-after-decreasing-and-rearranging.json

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            "title": "Maximum Element After Decreasing and Rearranging",
            "titleSlug": "maximum-element-after-decreasing-and-rearranging",
            "content": "<p>You are given an array of positive integers <code>arr</code>. Perform some operations (possibly none) on <code>arr</code> so that it satisfies these conditions:</p>\n\n<ul>\n\t<li>The value of the <strong>first</strong> element in <code>arr</code> must be <code>1</code>.</li>\n\t<li>The absolute difference between any 2 adjacent elements must be <strong>less than or equal to </strong><code>1</code>. In other words, <code>abs(arr[i] - arr[i - 1]) &lt;= 1</code> for each <code>i</code> where <code>1 &lt;= i &lt; arr.length</code> (<strong>0-indexed</strong>). <code>abs(x)</code> is the absolute value of <code>x</code>.</li>\n</ul>\n\n<p>There are 2 types of operations that you can perform any number of times:</p>\n\n<ul>\n\t<li><strong>Decrease</strong> the value of any element of <code>arr</code> to a <strong>smaller positive integer</strong>.</li>\n\t<li><strong>Rearrange</strong> the elements of <code>arr</code> to be in any order.</li>\n</ul>\n\n<p>Return <em>the <strong>maximum</strong> possible value of an element in </em><code>arr</code><em> after performing the operations to satisfy the conditions</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr = [2,2,1,2,1]\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> \nWe can satisfy the conditions by rearranging <code>arr</code> so it becomes <code>[1,2,2,2,1]</code>.\nThe largest element in <code>arr</code> is 2.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr = [100,1,1000]\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> \nOne possible way to satisfy the conditions is by doing the following:\n1. Rearrange <code>arr</code> so it becomes <code>[1,100,1000]</code>.\n2. Decrease the value of the second element to 2.\n3. Decrease the value of the third element to 3.\nNow <code>arr = [1,2,3], which </code>satisfies the conditions.\nThe largest element in <code>arr is 3.</code>\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr = [1,2,3,4,5]\n<strong>Output:</strong> 5\n<strong>Explanation:</strong> The array already satisfies the conditions, and the largest element is 5.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= arr.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= arr[i] &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
            "translatedTitle": "减小和重新排列数组后的最大元素",
            "translatedContent": "<p>给你一个正整数数组 <code>arr</code> 。请你对 <code>arr</code> 执行一些操作（也可以不进行任何操作），使得数组满足以下条件：</p>\n\n<ul>\n\t<li><code>arr</code> 中 <strong>第一个</strong> 元素必须为 <code>1</code> 。</li>\n\t<li>任意相邻两个元素的差的绝对值 <strong>小于等于</strong> <code>1</code> ，也就是说，对于任意的 <code>1 <= i < arr.length</code> （<strong>数组下标从 0 开始</strong>），都满足 <code>abs(arr[i] - arr[i - 1]) <= 1</code> 。<code>abs(x)</code> 为 <code>x</code> 的绝对值。</li>\n</ul>\n\n<p>你可以执行以下 2 种操作任意次：</p>\n\n<ul>\n\t<li><strong>减小</strong> <code>arr</code> 中任意元素的值，使其变为一个 <strong>更小的正整数</strong> 。</li>\n\t<li><strong>重新排列</strong> <code>arr</code> 中的元素，你可以以任意顺序重新排列。</li>\n</ul>\n\n<p>请你返回执行以上操作后，在满足前文所述的条件下，<code>arr</code> 中可能的 <strong>最大值</strong> 。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<b>输入：</b>arr = [2,2,1,2,1]\n<b>输出：</b>2\n<b>解释：</b>\n我们可以重新排列 arr 得到 <code>[1,2,2,2,1] ，该数组满足所有条件。</code>\narr 中最大元素为 2 。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<b>输入：</b>arr = [100,1,1000]\n<b>输出：</b>3\n<b>解释：</b>\n一个可行的方案如下：\n1. 重新排列 <code>arr</code> 得到 <code>[1,100,1000] 。</code>\n2. 将第二个元素减小为 2 。\n3. 将第三个元素减小为 3 。\n现在 <code>arr = [1,2,3] ，满足所有条件。</code>\narr 中最大元素为 3 。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre>\n<b>输入：</b>arr = [1,2,3,4,5]\n<b>输出：</b>5\n<b>解释：</b>数组已经满足所有条件，最大元素为 5 。\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 <= arr.length <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= arr[i] <= 10<sup>9</sup></code></li>\n</ul>\n",
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