leetcode-problemset/leetcode/originData/length-of-the-longest-increasing-path.json

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            "title": "Length of the Longest Increasing Path",
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            "content": "<p>You are given a 2D array of integers <code>coordinates</code> of length <code>n</code> and an integer <code>k</code>, where <code>0 &lt;= k &lt; n</code>.</p>\n\n<p><code>coordinates[i] = [x<sub>i</sub>, y<sub>i</sub>]</code> indicates the point <code>(x<sub>i</sub>, y<sub>i</sub>)</code> in a 2D plane.</p>\n\n<p>An <strong>increasing path</strong> of length <code>m</code> is defined as a list of points <code>(x<sub>1</sub>, y<sub>1</sub>)</code>, <code>(x<sub>2</sub>, y<sub>2</sub>)</code>, <code>(x<sub>3</sub>, y<sub>3</sub>)</code>, ..., <code>(x<sub>m</sub>, y<sub>m</sub>)</code> such that:</p>\n\n<ul>\n\t<li><code>x<sub>i</sub> &lt; x<sub>i + 1</sub></code> and <code>y<sub>i</sub> &lt; y<sub>i + 1</sub></code> for all <code>i</code> where <code>1 &lt;= i &lt; m</code>.</li>\n\t<li><code>(x<sub>i</sub>, y<sub>i</sub>)</code> is in the given coordinates for all <code>i</code> where <code>1 &lt;= i &lt;= m</code>.</li>\n</ul>\n\n<p>Return the <strong>maximum</strong> length of an <strong>increasing path</strong> that contains <code>coordinates[k]</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">coordinates = [[3,1],[2,2],[4,1],[0,0],[5,3]], k = 1</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">3</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><code>(0, 0)</code>, <code>(2, 2)</code>, <code>(5, 3)</code><!-- notionvc: 082cee9e-4ce5-4ede-a09d-57001a72141d --> is the longest increasing path that contains <code>(2, 2)</code>.</p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">coordinates = [[2,1],[7,0],[5,6]], k = 2</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">2</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><code>(2, 1)</code>, <code>(5, 6)</code> is the longest increasing path that contains <code>(5, 6)</code>.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n == coordinates.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>coordinates[i].length == 2</code></li>\n\t<li><code>0 &lt;= coordinates[i][0], coordinates[i][1] &lt;= 10<sup>9</sup></code></li>\n\t<li>All elements in <code>coordinates</code> are <strong>distinct</strong>.<!-- notionvc: 6e412fc2-f9dd-4ba2-b796-5e802a2b305a --><!-- notionvc: c2cf5618-fe99-4909-9b4c-e6b068be22a6 --></li>\n\t<li><code>0 &lt;= k &lt;= n - 1</code></li>\n</ul>\n",
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                    "code": "class Solution {\npublic:\n    int maxPathLength(vector<vector<int>>& coordinates, int k) {\n        \n    }\n};",
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                    "code": "class Solution(object):\n    def maxPathLength(self, coordinates, k):\n        \"\"\"\n        :type coordinates: List[List[int]]\n        :type k: int\n        :rtype: int\n        \"\"\"\n        ",
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                    "code": "int maxPathLength(int** coordinates, int coordinatesSize, int* coordinatesColSize, int k) {\n    \n}",
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                    "code": "public class Solution {\n    public int MaxPathLength(int[][] coordinates, int k) {\n        \n    }\n}",
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                    "code": "/**\n * @param {number[][]} coordinates\n * @param {number} k\n * @return {number}\n */\nvar maxPathLength = function(coordinates, k) {\n    \n};",
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                    "code": "func maxPathLength(coordinates [][]int, k int) int {\n    \n}",
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                    "code": "# @param {Integer[][]} coordinates\n# @param {Integer} k\n# @return {Integer}\ndef max_path_length(coordinates, k)\n    \nend",
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                    "code": "impl Solution {\n    pub fn max_path_length(coordinates: Vec<Vec<i32>>, k: i32) -> i32 {\n        \n    }\n}",
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                "Only keep coordinates with both <code>x</code> and <code>y</code> being strictly less than <code>coordinates[k]</code>.",
                "Sort them by <code>x</code>’s, in the case of equal, the <code>y</code> values should be decreasing.",
                "Calculate LIS only using <code>y</code> values.",
                "Do the same for coordinates with both <code>x</code> and <code>y</code> being strictly larger than <code>coordinates[k]</code>."
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