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leetcode-problemset/leetcode-cn/originData/eight-queens-lcci.json
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{
"data": {
"question": {
"questionId": "100233",
"questionFrontendId": "面试题 08.12",
"categoryTitle": "LCCI",
"boundTopicId": 58262,
"title": "Eight Queens LCCI",
"titleSlug": "eight-queens-lcci",
"content": "<p>Write an algorithm to print all ways of arranging n queens on an n x n&nbsp;chess board so that none of them share the same row, column, or diagonal. In this case, &quot;diagonal&quot; means all diagonals, not just the two that bisect the board.</p>\r\n\r\n<p><strong>Notes: </strong>This&nbsp;problem is a generalization of the original one in the book.</p>\r\n\r\n<p><strong>Example:</strong></p>\r\n\r\n<pre>\r\n<strong> Input</strong>: 4\r\n<strong> Output</strong>: [[&quot;.Q..&quot;,&quot;...Q&quot;,&quot;Q...&quot;,&quot;..Q.&quot;],[&quot;..Q.&quot;,&quot;Q...&quot;,&quot;...Q&quot;,&quot;.Q..&quot;]]\r\n<strong> Explanation</strong>: 4 queens has following two solutions\r\n[\r\n&nbsp;[&quot;.Q..&quot;, &nbsp;// solution 1\r\n&nbsp; &quot;...Q&quot;,\r\n&nbsp; &quot;Q...&quot;,\r\n&nbsp; &quot;..Q.&quot;],\r\n\r\n&nbsp;[&quot;..Q.&quot;, &nbsp;// solution 2\r\n&nbsp; &quot;Q...&quot;,\r\n&nbsp; &quot;...Q&quot;,\r\n&nbsp; &quot;.Q..&quot;]\r\n]\r\n</pre>\r\n",
"translatedTitle": "八皇后",
"translatedContent": "<p>设计一种算法,打印 N 皇后在 N &times; N 棋盘上的各种摆法,其中每个皇后都不同行、不同列,也不在对角线上。这里的&ldquo;对角线&rdquo;指的是所有的对角线,不只是平分整个棋盘的那两条对角线。</p>\n\n<p><strong>注意:</strong>本题相对原题做了扩展</p>\n\n<p><strong>示例:</strong></p>\n\n<pre><strong> 输入</strong>4\n<strong> 输出</strong>[[&quot;.Q..&quot;,&quot;...Q&quot;,&quot;Q...&quot;,&quot;..Q.&quot;],[&quot;..Q.&quot;,&quot;Q...&quot;,&quot;...Q&quot;,&quot;.Q..&quot;]]\n<strong> 解释</strong>: 4 皇后问题存在如下两个不同的解法。\n[\n&nbsp;[&quot;.Q..&quot;, &nbsp;// 解法 1\n&nbsp; &quot;...Q&quot;,\n&nbsp; &quot;Q...&quot;,\n&nbsp; &quot;..Q.&quot;],\n\n&nbsp;[&quot;..Q.&quot;, &nbsp;// 解法 2\n&nbsp; &quot;Q...&quot;,\n&nbsp; &quot;...Q&quot;,\n&nbsp; &quot;.Q..&quot;]\n]\n</pre>\n",
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"hints": [
"我们知道每一行都有一个皇后。你能试试所有的可能性吗?",
"每行都必须有个皇后。从最后一行开始。有8个不同的列你可以放皇后。你能挨个试试吗",
"把它拆分成更小的子问题。第8行的皇后必定在第1、2、3、4、5、6、7或8列。当一个皇后在第8行第3列你能输出所有可能的八皇后位置吗然后你需要做的就是检查将一个皇后放在第7行的所有情况。"
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