leetcode-problemset/leetcode-cn/originData/maximum-square-area-by-removing-fences-from-a-field.json

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        "question": {
            "questionId": "3250",
            "questionFrontendId": "2975",
            "categoryTitle": "Algorithms",
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            "title": "Maximum Square Area by Removing Fences From a Field",
            "titleSlug": "maximum-square-area-by-removing-fences-from-a-field",
            "content": "<p>There is a large <code>(m - 1) x (n - 1)</code> rectangular field with corners at <code>(1, 1)</code> and <code>(m, n)</code> containing some horizontal and vertical fences given in arrays <code>hFences</code> and <code>vFences</code> respectively.</p>\n\n<p>Horizontal fences are from the coordinates <code>(hFences[i], 1)</code> to <code>(hFences[i], n)</code> and vertical fences are from the coordinates <code>(1, vFences[i])</code> to <code>(m, vFences[i])</code>.</p>\n\n<p>Return <em>the <strong>maximum</strong> area of a <strong>square</strong> field that can be formed by <strong>removing</strong> some fences (<strong>possibly none</strong>) or </em><code>-1</code> <em>if it is impossible to make a square field</em>.</p>\n\n<p>Since the answer may be large, return it <strong>modulo</strong> <code>10<sup>9 </sup>+ 7</code>.</p>\n\n<p><strong>Note: </strong>The field is surrounded by two horizontal fences from the coordinates <code>(1, 1)</code> to <code>(1, n)</code> and <code>(m, 1)</code> to <code>(m, n)</code> and two vertical fences from the coordinates <code>(1, 1)</code> to <code>(m, 1)</code> and <code>(1, n)</code> to <code>(m, n)</code>. These fences <strong>cannot</strong> be removed.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2023/11/05/screenshot-from-2023-11-05-22-40-25.png\" /></p>\n\n<pre>\n<strong>Input:</strong> m = 4, n = 3, hFences = [2,3], vFences = [2]\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> Removing the horizontal fence at 2 and the vertical fence at 2 will give a square field of area 4.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2023/11/22/maxsquareareaexample1.png\" style=\"width: 285px; height: 242px;\" /></p>\n\n<pre>\n<strong>Input:</strong> m = 6, n = 7, hFences = [2], vFences = [4]\n<strong>Output:</strong> -1\n<strong>Explanation:</strong> It can be proved that there is no way to create a square field by removing fences.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>3 &lt;= m, n &lt;= 10<sup>9</sup></code></li>\n\t<li><code><font face=\"monospace\">1 &lt;= hF</font>ences<font face=\"monospace\">.length, vFences.length &lt;= 600</font></code></li>\n\t<li><code><font face=\"monospace\">1 &lt; hFences[i] &lt; m</font></code></li>\n\t<li><code><font face=\"monospace\">1 &lt; vFences[i] &lt; n</font></code></li>\n\t<li><code><font face=\"monospace\">hFences</font></code><font face=\"monospace\"> and </font><code><font face=\"monospace\">vFences</font></code><font face=\"monospace\"> are unique.</font></li>\n</ul>\n",
            "translatedTitle": "移除栅栏得到的正方形田地的最大面积",
            "translatedContent": "<p>有一个大型的 <code>(m - 1) x (n - 1)</code> 矩形田地，其两个对角分别是 <code>(1, 1)</code> 和 <code>(m, n)</code> ，田地内部有一些水平栅栏和垂直栅栏，分别由数组 <code>hFences</code> 和 <code>vFences</code> 给出。</p>\n\n<p>水平栅栏为坐标 <code>(hFences[i], 1)</code> 到 <code>(hFences[i], n)</code>，垂直栅栏为坐标 <code>(1, vFences[i])</code> 到 <code>(m, vFences[i])</code> 。</p>\n\n<p>返回通过<strong> 移除 </strong>一些栅栏（<strong>可能不移除</strong>）所能形成的最大面积的<strong> 正方形 </strong>田地的面积，或者如果无法形成正方形田地则返回 <code>-1</code>。</p>\n\n<p>由于答案可能很大，所以请返回结果对 <code>10<sup>9</sup> + 7</code> <strong>取余</strong> 后的值。</p>\n\n<p><strong>注意：</strong>田地外围两个水平栅栏（坐标 <code>(1, 1)</code> 到 <code>(1, n)</code> 和坐标 <code>(m, 1)</code> 到 <code>(m, n)</code> ）以及两个垂直栅栏（坐标 <code>(1, 1)</code> 到 <code>(m, 1)</code> 和坐标 <code>(1, n)</code> 到 <code>(m, n)</code> ）所包围。这些栅栏<strong> 不能</strong> 被移除。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2023/11/05/screenshot-from-2023-11-05-22-40-25.png\" /></p>\n\n<pre>\n<strong>输入：</strong>m = 4, n = 3, hFences = [2,3], vFences = [2]\n<strong>输出：</strong>4\n<strong>解释：</strong>移除位于 2 的水平栅栏和位于 2 的垂直栅栏将得到一个面积为 4 的正方形田地。\n</pre>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2023/11/22/maxsquareareaexample1.png\" style=\"width: 285px; height: 242px;\" /></p>\n\n<pre>\n<strong>输入：</strong>m = 6, n = 7, hFences = [2], vFences = [4]\n<strong>输出：</strong>-1\n<strong>解释：</strong>可以证明无法通过移除栅栏形成正方形田地。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>3 &lt;= m, n &lt;= 10<sup>9</sup></code></li>\n\t<li><code>1 &lt;= hFences.length, vFences.length &lt;= 600</code></li>\n\t<li><code>1 &lt; hFences[i] &lt; m</code></li>\n\t<li><code>1 &lt; vFences[i] &lt; n</code></li>\n\t<li><code>hFences</code> 和 <code>vFences</code> 中的元素是唯一的。</li>\n</ul>\n",
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                    "code": "class Solution {\npublic:\n    int maximizeSquareArea(int m, int n, vector<int>& hFences, vector<int>& vFences) {\n        \n    }\n};",
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                    "code": "class Solution(object):\n    def maximizeSquareArea(self, m, n, hFences, vFences):\n        \"\"\"\n        :type m: int\n        :type n: int\n        :type hFences: List[int]\n        :type vFences: List[int]\n        :rtype: int\n        \"\"\"",
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                "Put <code>1</code> and <code>m</code> into <code>hFences</code>. The differences of any two values in the new <code>hFences</code> can be a horizontal edge of a rectangle.",
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