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            "questionId": "1000016",
            "questionFrontendId": "面试题 10.09",
            "categoryTitle": "LCCI",
            "boundTopicId": 92937,
            "title": "Sorted Matrix Search LCCI",
            "titleSlug": "sorted-matrix-search-lcci",
            "content": "<p>Given an M x N matrix in which each row and each column is sorted in ascending order, write a method to find an element.</p>\r\n\r\n<p><strong>Example:</strong></p>\r\n\r\n<p>Given matrix:</p>\r\n\r\n<pre>\r\n[\r\n  [1,   4,  7, 11, 15],\r\n  [2,   5,  8, 12, 19],\r\n  [3,   6,  9, 16, 22],\r\n  [10, 13, 14, 17, 24],\r\n  [18, 21, 23, 26, 30]\r\n]\r\n</pre>\r\n\r\n<p>Given target&nbsp;=&nbsp;5,&nbsp;return&nbsp;<code>true.</code></p>\r\n\r\n<p>Given target&nbsp;=&nbsp;20, return&nbsp;<code>false.</code></p>\r\n",
            "translatedTitle": "排序矩阵查找",
            "translatedContent": "<p>给定M&times;N矩阵，每一行、每一列都按升序排列，请编写代码找出某元素。</p>\n\n<p><strong>示例:</strong></p>\n\n<p>现有矩阵 matrix 如下：</p>\n\n<pre>[\n  [1,   4,  7, 11, 15],\n  [2,   5,  8, 12, 19],\n  [3,   6,  9, 16, 22],\n  [10, 13, 14, 17, 24],\n  [18, 21, 23, 26, 30]\n]\n</pre>\n\n<p>给定 target&nbsp;=&nbsp;<code>5</code>，返回&nbsp;<code>true</code>。</p>\n\n<p>给定&nbsp;target&nbsp;=&nbsp;<code>20</code>，返回&nbsp;<code>false</code>。</p>\n",
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                    "translatedName": "二分查找",
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                    "code": "class Solution {\npublic:\n    bool searchMatrix(vector<vector<int>>& matrix, int target) {\n\n    }\n};",
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                    "code": "class Solution(object):\n    def searchMatrix(self, matrix, target):\n        \"\"\"\n        :type matrix: List[List[int]]\n        :type target: int\n        :rtype: bool\n        \"\"\"",
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                    "code": "class Solution:\n    def searchMatrix(self, matrix: List[List[int]], target: int) -> bool:",
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                    "code": "# @param {Integer[][]} matrix\n# @param {Integer} target\n# @return {Boolean}\ndef search_matrix(matrix, target)\n\nend",
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            "hints": [
                "如果你正在考虑某个特定列，是否有办法快速消除该列（至少在某些情况下）？",
                "由于每列都进行了排序，因此如果该值小于此列中的最小值，则可知该值不能位于此列中。除此以外还能告诉你什么？",
                "如果值x小于列的开头，那么它也不能在右边的任何列中。",
                "考虑行中的上一个提示。",
                "如果我们试图使用一个数组来记录它，会发生什么？这有什么优点和缺点呢？",
                "可以使用前面的提示在行和列上向上、向下、向左和向右移动吗？",
                "另一种方法是，如果你沿着单元格画一个矩形一直延伸到底部，那么矩阵右坐标所在的单元格将大于这个矩形中所有的单元格。",
                "每个单元格的数会小于其下方和右侧的所有数，会大于其上方和左侧的所有数。如果我们想在第一轮排除最多元素，应该将x与哪个元素进行比较？",
                "如果将x与矩阵中的中心元素进行比较，我们可以排除大约四分之一的元素。",
                "先试试一种简单解法。但希望不要太简单。你应该能够借助矩阵是有序的这一实际情况。",
                "可以在每一行进行二进制搜索。这需要多长时间？怎样才能做得更好？"
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