{ "data": { "question": { "questionId": "1706", "questionFrontendId": "1584", "categoryTitle": "Algorithms", "boundTopicId": 407644, "title": "Min Cost to Connect All Points", "titleSlug": "min-cost-to-connect-all-points", "content": "

You are given an array points representing integer coordinates of some points on a 2D-plane, where points[i] = [xi, yi].

\n\n

The cost of connecting two points [xi, yi] and [xj, yj] is the manhattan distance between them: |xi - xj| + |yi - yj|, where |val| denotes the absolute value of val.

\n\n

Return the minimum cost to make all points connected. All points are connected if there is exactly one simple path between any two points.

\n\n

 

\n

Example 1:

\n\"\"\n
\nInput: points = [[0,0],[2,2],[3,10],[5,2],[7,0]]\nOutput: 20\nExplanation: \n\"\"\nWe can connect the points as shown above to get the minimum cost of 20.\nNotice that there is a unique path between every pair of points.\n
\n\n

Example 2:

\n\n
\nInput: points = [[3,12],[-2,5],[-4,1]]\nOutput: 18\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "连接所有点的最小费用", "translatedContent": "

给你一个points 数组，表示 2D 平面上的一些点，其中 points[i] = [xi, yi] 。

\n\n

连接点 [xi, yi] 和点 [xj, yj] 的费用为它们之间的 曼哈顿距离 ：|xi - xj| + |yi - yj| ，其中 |val| 表示 val 的绝对值。

\n\n

请你返回将所有点连接的最小总费用。只有任意两点之间 有且仅有 一条简单路径时，才认为所有点都已连接。

\n\n

 

\n\n

示例 1：

\n\n

\"\"

\n\n
\n输入：points = [[0,0],[2,2],[3,10],[5,2],[7,0]]\n输出：20\n解释：\n\"\"\n我们可以按照上图所示连接所有点得到最小总费用，总费用为 20 。\n注意到任意两个点之间只有唯一一条路径互相到达。\n
\n\n

示例 2：

\n\n
\n输入：points = [[3,12],[-2,5],[-4,1]]\n输出：18\n
\n\n

示例 3：

\n\n
\n输入：points = [[0,0],[1,1],[1,0],[-1,1]]\n输出：4\n
\n\n

示例 4：

\n\n
\n输入：points = [[-1000000,-1000000],[1000000,1000000]]\n输出：4000000\n
\n\n

示例 5：

\n\n
\n输入：points = [[0,0]]\n输出：0\n
\n\n

 

\n\n

提示：

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{ "lang": "C++", "langSlug": "cpp", "code": "class Solution {\npublic:\n int minCostConnectPoints(vector>& points) {\n\n }\n};", "__typename": "CodeSnippetNode" }, { "lang": "Java", "langSlug": "java", "code": "class Solution {\n public int minCostConnectPoints(int[][] points) {\n\n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Python", "langSlug": "python", "code": "class Solution(object):\n def minCostConnectPoints(self, points):\n \"\"\"\n :type points: List[List[int]]\n :rtype: int\n \"\"\"", "__typename": "CodeSnippetNode" }, { "lang": "Python3", "langSlug": "python3", "code": "class Solution:\n def minCostConnectPoints(self, points: List[List[int]]) -> int:", "__typename": "CodeSnippetNode" }, { "lang": "C", "langSlug": "c", "code": "\n\nint minCostConnectPoints(int** points, int pointsSize, int* pointsColSize){\n\n}", "__typename": "CodeSnippetNode" }, { "lang": "C#", "langSlug": "csharp", "code": "public class Solution {\n public int MinCostConnectPoints(int[][] points) {\n\n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "JavaScript", "langSlug": "javascript", "code": "/**\n * @param {number[][]} points\n * @return {number}\n */\nvar minCostConnectPoints = function(points) {\n\n};", "__typename": "CodeSnippetNode" }, { "lang": "Ruby", "langSlug": "ruby", "code": "# @param {Integer[][]} points\n# @return {Integer}\ndef min_cost_connect_points(points)\n\nend", "__typename": "CodeSnippetNode" }, { "lang": "Swift", "langSlug": "swift", "code": "class Solution {\n func minCostConnectPoints(_ points: [[Int]]) -> Int {\n\n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Go", "langSlug": "golang", "code": "func minCostConnectPoints(points [][]int) int {\n\n}", "__typename": "CodeSnippetNode" }, { "lang": "Scala", "langSlug": "scala", "code": "object Solution {\n def minCostConnectPoints(points: Array[Array[Int]]): Int = {\n\n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Kotlin", "langSlug": "kotlin", "code": "class Solution {\n fun minCostConnectPoints(points: Array): Int {\n\n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Rust", "langSlug": "rust", "code": "impl Solution {\n pub fn min_cost_connect_points(points: Vec>) -> i32 {\n\n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "PHP", "langSlug": "php", "code": "class Solution {\n\n /**\n * @param Integer[][] $points\n * @return Integer\n */\n function minCostConnectPoints($points) {\n\n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "TypeScript", "langSlug": "typescript", "code": "function minCostConnectPoints(points: number[][]): number {\n\n};", "__typename": "CodeSnippetNode" }, { "lang": "Racket", "langSlug": "racket", "code": "(define/contract (min-cost-connect-points points)\n (-> (listof (listof exact-integer?)) exact-integer?)\n\n )", "__typename": "CodeSnippetNode" }, { "lang": "Erlang", "langSlug": "erlang", "code": "-spec min_cost_connect_points(Points :: [[integer()]]) -> integer().\nmin_cost_connect_points(Points) ->\n .", 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