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{
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"question": {
"questionId": "1626",
"questionFrontendId": "1502",
"categoryTitle": "Algorithms",
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"title": "Can Make Arithmetic Progression From Sequence",
"titleSlug": "can-make-arithmetic-progression-from-sequence",
"content": "<p>A sequence of numbers is called an <strong>arithmetic progression</strong> if the difference between any two consecutive elements is the same.</p>\n\n<p>Given an array of numbers <code>arr</code>, return <code>true</code> <em>if the array can be rearranged to form an <strong>arithmetic progression</strong>. Otherwise, return</em> <code>false</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr = [3,5,1]\n<strong>Output:</strong> true\n<strong>Explanation: </strong>We can reorder the elements as [1,3,5] or [5,3,1] with differences 2 and -2 respectively, between each consecutive elements.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr = [1,2,4]\n<strong>Output:</strong> false\n<strong>Explanation: </strong>There is no way to reorder the elements to obtain an arithmetic progression.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= arr.length &lt;= 1000</code></li>\n\t<li><code>-10<sup>6</sup> &lt;= arr[i] &lt;= 10<sup>6</sup></code></li>\n</ul>\n",
"translatedTitle": "判断能否形成等差数列",
"translatedContent": "<p>给你一个数字数组 <code>arr</code> 。</p>\n\n<p>如果一个数列中,任意相邻两项的差总等于同一个常数,那么这个数列就称为 <strong>等差数列</strong> 。</p>\n\n<p>如果可以重新排列数组形成等差数列,请返回 <code>true</code> ;否则,返回 <code>false</code> 。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre><strong>输入:</strong>arr = [3,5,1]\n<strong>输出:</strong>true\n<strong>解释:</strong>对数组重新排序得到 [1,3,5] 或者 [5,3,1] ,任意相邻两项的差分别为 2 或 -2 ,可以形成等差数列。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre><strong>输入:</strong>arr = [1,2,4]\n<strong>输出:</strong>false\n<strong>解释:</strong>无法通过重新排序得到等差数列。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= arr.length &lt;= 1000</code></li>\n\t<li><code>-10^6 &lt;= arr[i] &lt;= 10^6</code></li>\n</ul>\n",
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"hints": [
"Consider that any valid arithmetic progression will be in sorted order.",
"Sort the array, then check if the differences of all consecutive elements are equal."
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