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"question": {
"questionId": "1674",
"questionFrontendId": "1551",
"categoryTitle": "Algorithms",
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"title": "Minimum Operations to Make Array Equal",
"titleSlug": "minimum-operations-to-make-array-equal",
"content": "<p>You have an array <code>arr</code> of length <code>n</code> where <code>arr[i] = (2 * i) + 1</code> for all valid values of <code>i</code> (i.e.,&nbsp;<code>0 &lt;= i &lt; n</code>).</p>\n\n<p>In one operation, you can select two indices <code>x</code> and <code>y</code> where <code>0 &lt;= x, y &lt; n</code> and subtract <code>1</code> from <code>arr[x]</code> and add <code>1</code> to <code>arr[y]</code> (i.e., perform <code>arr[x] -=1 </code>and <code>arr[y] += 1</code>). The goal is to make all the elements of the array <strong>equal</strong>. It is <strong>guaranteed</strong> that all the elements of the array can be made equal using some operations.</p>\n\n<p>Given an integer <code>n</code>, the length of the array, return <em>the minimum number of operations</em> needed to make all the elements of arr equal.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 3\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> arr = [1, 3, 5]\nFirst operation choose x = 2 and y = 0, this leads arr to be [2, 3, 4]\nIn the second operation choose x = 2 and y = 0 again, thus arr = [3, 3, 3].\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 6\n<strong>Output:</strong> 9\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 10<sup>4</sup></code></li>\n</ul>\n",
"translatedTitle": "使数组中所有元素相等的最小操作数",
"translatedContent": "<p>存在一个长度为 <code>n</code> 的数组 <code>arr</code> ,其中 <code>arr[i] = (2 * i) + 1</code> <code>0 &lt;= i &lt; n</code> )。</p>\n\n<p>一次操作中,你可以选出两个下标,记作 <code>x</code> 和 <code>y</code> <code>0 &lt;= x, y &lt; n</code> )并使 <code>arr[x]</code> 减去 <code>1</code> 、<code>arr[y]</code> 加上 <code>1</code> (即 <code>arr[x] -=1 </code>且 <code>arr[y] += 1</code> )。最终的目标是使数组中的所有元素都 <strong>相等</strong> 。题目测试用例将会 <strong>保证</strong> :在执行若干步操作后,数组中的所有元素最终可以全部相等。</p>\n\n<p>给你一个整数 <code>n</code>,即数组的长度。请你返回使数组 <code>arr</code> 中所有元素相等所需的 <strong>最小操作数</strong> 。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre><strong>输入:</strong>n = 3\n<strong>输出:</strong>2\n<strong>解释:</strong>arr = [1, 3, 5]\n第一次操作选出 x = 2 和 y = 0使数组变为 [2, 3, 4]\n第二次操作继续选出 x = 2 和 y = 0数组将会变成 [3, 3, 3]\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre><strong>输入:</strong>n = 6\n<strong>输出:</strong>9\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 10^4</code></li>\n</ul>\n",
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"hints": [
"Build the array arr using the given formula, define target = sum(arr) / n",
"What is the number of operations needed to convert arr so that all elements equal target ?"
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