mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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184 lines
27 KiB
JSON
184 lines
27 KiB
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"title": "Valid Sudoku",
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"content": "<p>Determine if a <code>9 x 9</code> Sudoku board is valid. Only the filled cells need to be validated <strong>according to the following rules</strong>:</p>\n\n<ol>\n\t<li>Each row must contain the digits <code>1-9</code> without repetition.</li>\n\t<li>Each column must contain the digits <code>1-9</code> without repetition.</li>\n\t<li>Each of the nine <code>3 x 3</code> sub-boxes of the grid must contain the digits <code>1-9</code> without repetition.</li>\n</ol>\n\n<p><strong>Note:</strong></p>\n\n<ul>\n\t<li>A Sudoku board (partially filled) could be valid but is not necessarily solvable.</li>\n\t<li>Only the filled cells need to be validated according to the mentioned rules.</li>\n</ul>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img src=\"https://upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Sudoku-by-L2G-20050714.svg/250px-Sudoku-by-L2G-20050714.svg.png\" style=\"height:250px; width:250px\" />\n<pre>\n<strong>Input:</strong> board = \n[["5","3",".",".","7",".",".",".","."]\n,["6",".",".","1","9","5",".",".","."]\n,[".","9","8",".",".",".",".","6","."]\n,["8",".",".",".","6",".",".",".","3"]\n,["4",".",".","8",".","3",".",".","1"]\n,["7",".",".",".","2",".",".",".","6"]\n,[".","6",".",".",".",".","2","8","."]\n,[".",".",".","4","1","9",".",".","5"]\n,[".",".",".",".","8",".",".","7","9"]]\n<strong>Output:</strong> true\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> board = \n[["8","3",".",".","7",".",".",".","."]\n,["6",".",".","1","9","5",".",".","."]\n,[".","9","8",".",".",".",".","6","."]\n,["8",".",".",".","6",".",".",".","3"]\n,["4",".",".","8",".","3",".",".","1"]\n,["7",".",".",".","2",".",".",".","6"]\n,[".","6",".",".",".",".","2","8","."]\n,[".",".",".","4","1","9",".",".","5"]\n,[".",".",".",".","8",".",".","7","9"]]\n<strong>Output:</strong> false\n<strong>Explanation:</strong> Same as Example 1, except with the <strong>5</strong> in the top left corner being modified to <strong>8</strong>. Since there are two 8's in the top left 3x3 sub-box, it is invalid.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>board.length == 9</code></li>\n\t<li><code>board[i].length == 9</code></li>\n\t<li><code>board[i][j]</code> is a digit <code>1-9</code> or <code>'.'</code>.</li>\n</ul>\n",
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"translatedTitle": "有效的数独",
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"translatedContent": "<p>请你判断一个 <code>9 x 9</code> 的数独是否有效。只需要<strong> 根据以下规则</strong> ，验证已经填入的数字是否有效即可。</p>\n\n<ol>\n\t<li>数字 <code>1-9</code> 在每一行只能出现一次。</li>\n\t<li>数字 <code>1-9</code> 在每一列只能出现一次。</li>\n\t<li>数字 <code>1-9</code> 在每一个以粗实线分隔的 <code>3x3</code> 宫内只能出现一次。（请参考示例图）</li>\n</ol>\n\n<p> </p>\n\n<p><strong>注意：</strong></p>\n\n<ul>\n\t<li>一个有效的数独（部分已被填充）不一定是可解的。</li>\n\t<li>只需要根据以上规则，验证已经填入的数字是否有效即可。</li>\n\t<li>空白格用 <code>'.'</code> 表示。</li>\n</ul>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n<img src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2021/04/12/250px-sudoku-by-l2g-20050714svg.png\" style=\"height:250px; width:250px\" />\n<pre>\n<strong>输入：</strong>board = \n[[\"5\",\"3\",\".\",\".\",\"7\",\".\",\".\",\".\",\".\"]\n,[\"6\",\".\",\".\",\"1\",\"9\",\"5\",\".\",\".\",\".\"]\n,[\".\",\"9\",\"8\",\".\",\".\",\".\",\".\",\"6\",\".\"]\n,[\"8\",\".\",\".\",\".\",\"6\",\".\",\".\",\".\",\"3\"]\n,[\"4\",\".\",\".\",\"8\",\".\",\"3\",\".\",\".\",\"1\"]\n,[\"7\",\".\",\".\",\".\",\"2\",\".\",\".\",\".\",\"6\"]\n,[\".\",\"6\",\".\",\".\",\".\",\".\",\"2\",\"8\",\".\"]\n,[\".\",\".\",\".\",\"4\",\"1\",\"9\",\".\",\".\",\"5\"]\n,[\".\",\".\",\".\",\".\",\"8\",\".\",\".\",\"7\",\"9\"]]\n<strong>输出：</strong>true\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>board = \n[[\"8\",\"3\",\".\",\".\",\"7\",\".\",\".\",\".\",\".\"]\n,[\"6\",\".\",\".\",\"1\",\"9\",\"5\",\".\",\".\",\".\"]\n,[\".\",\"9\",\"8\",\".\",\".\",\".\",\".\",\"6\",\".\"]\n,[\"8\",\".\",\".\",\".\",\"6\",\".\",\".\",\".\",\"3\"]\n,[\"4\",\".\",\".\",\"8\",\".\",\"3\",\".\",\".\",\"1\"]\n,[\"7\",\".\",\".\",\".\",\"2\",\".\",\".\",\".\",\"6\"]\n,[\".\",\"6\",\".\",\".\",\".\",\".\",\"2\",\"8\",\".\"]\n,[\".\",\".\",\".\",\"4\",\"1\",\"9\",\".\",\".\",\"5\"]\n,[\".\",\".\",\".\",\".\",\"8\",\".\",\".\",\"7\",\"9\"]]\n<strong>输出：</strong>false\n<strong>解释：</strong>除了第一行的第一个数字从<strong> 5</strong> 改为 <strong>8 </strong>以外，空格内其他数字均与 示例1 相同。 但由于位于左上角的 3x3 宫内有两个 8 存在, 因此这个数独是无效的。</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>board.length == 9</code></li>\n\t<li><code>board[i].length == 9</code></li>\n\t<li><code>board[i][j]</code> 是一位数字（<code>1-9</code>）或者 <code>'.'</code></li>\n</ul>\n",
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