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leetcode-problemset/leetcode-cn/originData/minimum-operations-to-make-a-uni-value-grid.json
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"question": {
"questionId": "2160",
"questionFrontendId": "2033",
"categoryTitle": "Algorithms",
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"title": "Minimum Operations to Make a Uni-Value Grid",
"titleSlug": "minimum-operations-to-make-a-uni-value-grid",
"content": "<p>You are given a 2D integer <code>grid</code> of size <code>m x n</code> and an integer <code>x</code>. In one operation, you can <strong>add</strong> <code>x</code> to or <strong>subtract</strong> <code>x</code> from any element in the <code>grid</code>.</p>\n\n<p>A <strong>uni-value grid</strong> is a grid where all the elements of it are equal.</p>\n\n<p>Return <em>the <strong>minimum</strong> number of operations to make the grid <strong>uni-value</strong></em>. If it is not possible, return <code>-1</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/09/21/gridtxt.png\" style=\"width: 164px; height: 165px;\" />\n<pre>\n<strong>Input:</strong> grid = [[2,4],[6,8]], x = 2\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> We can make every element equal to 4 by doing the following: \n- Add x to 2 once.\n- Subtract x from 6 once.\n- Subtract x from 8 twice.\nA total of 4 operations were used.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/09/21/gridtxt-1.png\" style=\"width: 164px; height: 165px;\" />\n<pre>\n<strong>Input:</strong> grid = [[1,5],[2,3]], x = 1\n<strong>Output:</strong> 5\n<strong>Explanation:</strong> We can make every element equal to 3.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/09/21/gridtxt-2.png\" style=\"width: 164px; height: 165px;\" />\n<pre>\n<strong>Input:</strong> grid = [[1,2],[3,4]], x = 2\n<strong>Output:</strong> -1\n<strong>Explanation:</strong> It is impossible to make every element equal.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>m == grid.length</code></li>\n\t<li><code>n == grid[i].length</code></li>\n\t<li><code>1 &lt;= m, n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= m * n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= x, grid[i][j] &lt;= 10<sup>4</sup></code></li>\n</ul>\n",
"translatedTitle": "获取单值网格的最小操作数",
"translatedContent": "<p>给你一个大小为&nbsp;<code>m x n</code> 的二维整数网格 <code>grid</code> 和一个整数 <code>x</code> 。每一次操作,你可以对 <code>grid</code> 中的任一元素 <strong>加</strong> <code>x</code> 或 <strong>减</strong> <code>x</code> 。</p>\n\n<p><strong>单值网格</strong> 是全部元素都相等的网格。</p>\n\n<p>返回使网格化为单值网格所需的 <strong>最小</strong> 操作数。如果不能,返回 <code>-1</code> 。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/09/21/gridtxt.png\" style=\"width: 164px; height: 165px;\" /></p>\n\n<pre>\n<strong>输入:</strong>grid = [[2,4],[6,8]], x = 2\n<strong>输出:</strong>4\n<strong>解释:</strong>可以执行下述操作使所有元素都等于 4 \n- 2 加 x 一次。\n- 6 减 x 一次。\n- 8 减 x 两次。\n共计 4 次操作。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/09/21/gridtxt-1.png\" style=\"width: 164px; height: 165px;\" /></p>\n\n<pre>\n<strong>输入:</strong>grid = [[1,5],[2,3]], x = 1\n<strong>输出:</strong>5\n<strong>解释:</strong>可以使所有元素都等于 3 。\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/09/21/gridtxt-2.png\" style=\"width: 164px; height: 165px;\" /></p>\n\n<pre>\n<strong>输入:</strong>grid = [[1,2],[3,4]], x = 2\n<strong>输出:</strong>-1\n<strong>解释:</strong>无法使所有元素相等。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>m == grid.length</code></li>\n\t<li><code>n == grid[i].length</code></li>\n\t<li><code>1 &lt;= m, n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= m * n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= x, grid[i][j] &lt;= 10<sup>4</sup></code></li>\n</ul>\n",
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