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"categoryTitle": "Algorithms",
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"title": "Minimum Operations to Make Array Equal II",
"titleSlug": "minimum-operations-to-make-array-equal-ii",
"content": "<p>You are given two integer arrays <code>nums1</code> and <code>nums2</code> of equal length <code>n</code> and an integer <code>k</code>. You can perform the following operation on <code>nums1</code>:</p>\n\n<ul>\n\t<li>Choose two indexes <code>i</code> and <code>j</code> and increment <code>nums1[i]</code> by <code>k</code> and decrement <code>nums1[j]</code> by <code>k</code>. In other words, <code>nums1[i] = nums1[i] + k</code> and <code>nums1[j] = nums1[j] - k</code>.</li>\n</ul>\n\n<p><code>nums1</code> is said to be <strong>equal</strong> to <code>nums2</code> if for all indices <code>i</code> such that <code>0 &lt;= i &lt; n</code>, <code>nums1[i] == nums2[i]</code>.</p>\n\n<p>Return <em>the <strong>minimum</strong> number of operations required to make </em><code>nums1</code><em> equal to </em><code>nums2</code>. If it is impossible to make them equal, return <code>-1</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums1 = [4,3,1,4], nums2 = [1,3,7,1], k = 3\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> In 2 operations, we can transform nums1 to nums2.\n1<sup>st</sup> operation: i = 2, j = 0. After applying the operation, nums1 = [1,3,4,4].\n2<sup>nd</sup> operation: i = 2, j = 3. After applying the operation, nums1 = [1,3,7,1].\nOne can prove that it is impossible to make arrays equal in fewer operations.</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums1 = [3,8,5,2], nums2 = [2,4,1,6], k = 1\n<strong>Output:</strong> -1\n<strong>Explanation:</strong> It can be proved that it is impossible to make the two arrays equal.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == nums1.length == nums2.length</code></li>\n\t<li><code>2 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= nums1[i], nums2[j] &lt;= 10<sup>9</sup></code></li>\n\t<li><code>0 &lt;= k &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
"translatedTitle": "使数组中所有元素相等的最小操作数 II",
"translatedContent": "<p>给你两个整数数组&nbsp;<code>nums1</code> 和&nbsp;<code>nums2</code>&nbsp;,两个数组长度都是&nbsp;<code>n</code>&nbsp;,再给你一个整数&nbsp;<code>k</code>&nbsp;。你可以对数组&nbsp;<code>nums1</code>&nbsp;进行以下操作:</p>\n\n<ul>\n\t<li>选择两个下标&nbsp;<code>i</code> 和&nbsp;<code>j</code>&nbsp;,将&nbsp;<code>nums1[i]</code>&nbsp;增加&nbsp;<code>k</code>&nbsp;,将&nbsp;<code>nums1[j]</code>&nbsp;减少&nbsp;<code>k</code>&nbsp;。换言之,<code>nums1[i] = nums1[i] + k</code> 且&nbsp;<code>nums1[j] = nums1[j] - k</code>&nbsp;。</li>\n</ul>\n\n<p>如果对于所有满足&nbsp;<code>0 &lt;= i &lt; n</code>&nbsp;都有&nbsp;<code>num1[i] == nums2[i]</code>&nbsp;,那么我们称&nbsp;<code>nums1</code> <strong>等于</strong>&nbsp;<code>nums2</code>&nbsp;。</p>\n\n<p>请你返回使<em>&nbsp;</em><code>nums1</code><em> </em>等于<em>&nbsp;</em><code>nums2</code>&nbsp;的&nbsp;<strong>最少</strong>&nbsp;操作数。如果没办法让它们相等,请你返回&nbsp;<code>-1</code>&nbsp;。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre><b>输入:</b>nums1 = [4,3,1,4], nums2 = [1,3,7,1], k = 3\n<b>输出:</b>2\n<b>解释:</b>我们可以通过 2 个操作将 nums1 变成 nums2 。\n第 1 个操作i = 2 j = 0 。操作后得到 nums1 = [1,3,4,4] 。\n第 2 个操作i = 2 j = 3 。操作后得到 nums1 = [1,3,7,1] 。\n无法用更少操作使两个数组相等。</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre><b>输入:</b>nums1 = [3,8,5,2], nums2 = [2,4,1,6], k = 1\n<b>输出:</b>-1\n<b>解释:</b>无法使两个数组相等。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>n == nums1.length == nums2.length</code></li>\n\t<li><code>2 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= nums1[i], nums2[j] &lt;= 10<sup>9</sup></code></li>\n\t<li><code>0 &lt;= k &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
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