leetcode-problemset/leetcode-cn/originData/max-black-square-lcci.json

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            "questionId": "1000045",
            "questionFrontendId": "面试题 17.23",
            "categoryTitle": "LCCI",
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            "title": "Max Black Square LCCI",
            "titleSlug": "max-black-square-lcci",
            "content": "<p>Imagine you have a square matrix, where each cell (pixel) is either black or white Design an algorithm to find the maximum subsquare such that all four borders are filled with black pixels.</p>\r\n\r\n<p>Return an array&nbsp;<code>[r, c, size]</code>, where&nbsp;<code>r</code>,&nbsp;<code>c</code>&nbsp;are the row number and the column number of the subsquare&#39;s upper left corner respectively, and <code>size</code>&nbsp;is the side length of the subsquare. If there are more than one answers, return the one that has smallest <code>r</code>. If there are more than one answers that have the same <code>r</code>, return the one that has smallest <code>c</code>. If there&#39;s no answer, return an empty array.</p>\r\n\r\n<p><strong>Example 1:</strong></p>\r\n\r\n<pre>\r\n<strong>Input:\r\n</strong>[\r\n&nbsp;  [1,0,1],\r\n&nbsp;  [<strong>0,0</strong>,1],\r\n&nbsp;  [<strong>0,0</strong>,1]\r\n]\r\n<strong>Output: </strong>[1,0,2]\r\n<strong>Explanation:</strong> 0 represents black, and 1 represents white, bold elements in the input is the answer.\r\n</pre>\r\n\r\n<p><strong>Example 2:</strong></p>\r\n\r\n<pre>\r\n<strong>Input:\r\n</strong>[\r\n&nbsp;  [<strong>0</strong>,1,1],\r\n&nbsp;  [1,0,1],\r\n&nbsp;  [1,1,0]\r\n]\r\n<strong>Output: </strong>[0,0,1]\r\n</pre>\r\n\r\n<p><strong>Note: </strong></p>\r\n\r\n<ul>\r\n\t<li><code>matrix.length == matrix[0].length &lt;= 200</code></li>\r\n</ul>\r\n",
            "translatedTitle": "最大黑方阵",
            "translatedContent": "<p>给定一个方阵，其中每个单元(像素)非黑即白。设计一个算法，找出 4 条边皆为黑色像素的最大子方阵。</p>\n\n<p>返回一个数组 <code>[r, c, size]</code> ，其中&nbsp;<code>r</code>,&nbsp;<code>c</code>&nbsp;分别代表子方阵左上角的行号和列号，<code>size</code> 是子方阵的边长。若有多个满足条件的子方阵，返回 <code>r</code> 最小的，若 <code>r</code> 相同，返回 <code>c</code> 最小的子方阵。若无满足条件的子方阵，返回空数组。</p>\n\n<p><strong>示例 1:</strong></p>\n\n<pre><strong>输入:\n</strong>[\n&nbsp;  [1,0,1],\n&nbsp;  [<strong>0,0</strong>,1],\n&nbsp;  [<strong>0,0</strong>,1]\n]\n<strong>输出: </strong>[1,0,2]\n<strong>解释: </strong>输入中 0 代表黑色，1 代表白色，标粗的元素即为满足条件的最大子方阵\n</pre>\n\n<p><strong>示例 2:</strong></p>\n\n<pre><strong>输入:\n</strong>[\n&nbsp;  [<strong>0</strong>,1,1],\n&nbsp;  [1,0,1],\n&nbsp;  [1,1,0]\n]\n<strong>输出: </strong>[0,0,1]\n</pre>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>matrix.length == matrix[0].length &lt;= 200</code></li>\n</ul>\n",
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            "hints": [
                "从蛮力解法开始。你能先试试最大的正方形吗?",
                "最大的正方形是N×N。所以你先试一下该正方形，如果可行，那么你便知道已经找到了最佳正方形。否则，可以尝试下一个最小的正方形。",
                "描述蛮力解法的时间复杂度。",
                "你能通过预处理来优化这个解决方案吗？",
                "你应该能在O(N\b^3)时间内完成，其中N是正方形一边的长度。",
                "当你检查一个特定的正方形是否有效时（所有边框为黑色），需要检查在一个坐标的上面（或下面）和这个坐标的左边（或右边）有多少个黑色像素。你能预先计算出给定单元格上面和左边的黑色像素的数量吗？"
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