{ "data": { "question": { "questionId": "100260", "questionFrontendId": "面试题 16.03", "categoryTitle": "LCCI", "boundTopicId": 68728, "title": "Intersection LCCI", "titleSlug": "intersection-lcci", "content": "

Given two straight line segments (represented as a start point and an end point), compute the point of intersection, if any. If there's no intersection, return an empty array.

\r\nThe absolute error should not exceed 10^-6. If there are more than one intersections, return the one with smallest X axis value. If there are more than one intersections that have same X axis value, return the one with smallest Y axis value.\r\n\r\n

Example 1:

\r\n\r\n
\r\nInput: \r\nline1 = {0, 0}, {1, 0}\r\nline2 = {1, 1}, {0, -1}\r\nOutput:  {0.5, 0}\r\n
\r\n\r\n

Example 2:

\r\n\r\n
\r\nInput: \r\nline1 = {0, 0}, {3, 3}\r\nline2 = {1, 1}, {2, 2}\r\nOutput:  {1, 1}\r\n
\r\n\r\n

Example 3:

\r\n\r\n
\r\nInput: \r\nline1 = {0, 0}, {1, 1}\r\nline2 = {1, 0}, {2, 1}\r\nOutput:  {}  (no intersection)\r\n
\r\n\r\n

Note:

\r\n\r\n\r\n", "translatedTitle": "交点", "translatedContent": "

给定两条线段(表示为起点start = {X1, Y1}和终点end = {X2, Y2}),如果它们有交点,请计算其交点,没有交点则返回空值。

\n\n

要求浮点型误差不超过10^-6。若有多个交点(线段重叠)则返回 X 值最小的点,X 坐标相同则返回 Y 值最小的点。

\n\n

 

\n\n

示例 1:

\n\n
输入:\nline1 = {0, 0}, {1, 0}\nline2 = {1, 1}, {0, -1}\n输出: {0.5, 0}\n
\n\n

示例 2:

\n\n
输入:\nline1 = {0, 0}, {3, 3}\nline2 = {1, 1}, {2, 2}\n输出: {1, 1}\n
\n\n

示例 3:

\n\n
输入:\nline1 = {0, 0}, {1, 1}\nline2 = {1, 0}, {2, 1}\n输出: {},两条线段没有交点\n
\n\n

 

\n\n

提示:

\n\n\n", "isPaidOnly": false, "difficulty": "Hard", "likes": 85, "dislikes": 0, "isLiked": null, "similarQuestions": "[]", "contributors": [], "langToValidPlayground": "{\"cpp\": false, \"java\": true, \"python\": true, \"python3\": false, \"mysql\": false, \"mssql\": false, \"oraclesql\": false, \"c\": false, \"csharp\": false, \"javascript\": false, \"typescript\": false, \"bash\": false, \"php\": false, \"swift\": false, \"kotlin\": false, \"dart\": false, \"golang\": false, \"ruby\": false, \"scala\": false, \"html\": false, \"pythonml\": false, \"rust\": false, \"racket\": false, \"erlang\": false, \"elixir\": false, \"pythondata\": false, \"react\": false, \"vanillajs\": false, \"postgresql\": false}", "topicTags": [ { "name": "Geometry", "slug": "geometry", "translatedName": "几何", "__typename": "TopicTagNode" }, { "name": "Math", "slug": "math", "translatedName": "数学", "__typename": "TopicTagNode" } ], "companyTagStats": null, "codeSnippets": [ { "lang": "C++", "langSlug": "cpp", "code": "class Solution {\npublic:\n vector intersection(vector& start1, vector& end1, vector& start2, vector& end2) {\n\n }\n};", "__typename": "CodeSnippetNode" }, { "lang": "Java", "langSlug": "java", "code": "class Solution {\n public double[] intersection(int[] start1, int[] end1, int[] start2, int[] end2) {\n\n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Python", "langSlug": "python", "code": "class Solution(object):\n def intersection(self, start1, end1, start2, end2):\n \"\"\"\n :type start1: List[int]\n :type end1: List[int]\n :type start2: List[int]\n :type end2: List[int]\n :rtype: List[float]\n \"\"\"", "__typename": "CodeSnippetNode" }, { "lang": "Python3", "langSlug": "python3", "code": "class Solution:\n def intersection(self, start1: List[int], end1: List[int], start2: List[int], end2: List[int]) -> List[float]:", "__typename": "CodeSnippetNode" }, { "lang": "C", "langSlug": "c", "code": "\n\n/**\n * Note: The returned array must be malloced, assume caller calls free().\n */\ndouble* intersection(int* start1, int start1Size, int* end1, int end1Size, int* start2, int start2Size, int* end2, int end2Size, int* returnSize){\n\n}\n", "__typename": "CodeSnippetNode" }, { "lang": "C#", "langSlug": "csharp", "code": "public class Solution {\n public double[] Intersection(int[] start1, int[] end1, int[] start2, int[] end2) {\n\n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "JavaScript", "langSlug": "javascript", "code": "/**\n * @param {number[]} start1\n * @param {number[]} end1\n * @param {number[]} start2\n * @param {number[]} end2\n * @return {number[]}\n */\nvar intersection = function(start1, end1, start2, end2) {\n\n};", "__typename": "CodeSnippetNode" }, { "lang": "TypeScript", "langSlug": "typescript", "code": "function intersection(start1: number[], end1: number[], start2: number[], end2: number[]): number[] {\n\n};", "__typename": "CodeSnippetNode" }, { "lang": "PHP", "langSlug": "php", "code": "class Solution {\n\n /**\n * @param Integer[] $start1\n * @param Integer[] $end1\n * @param Integer[] $start2\n * @param Integer[] $end2\n * @return Float[]\n */\n function intersection($start1, $end1, $start2, $end2) {\n\n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Swift", "langSlug": "swift", "code": "class Solution {\n func intersection(_ start1: [Int], _ end1: [Int], _ start2: [Int], _ end2: [Int]) -> [Double] {\n\n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Kotlin", "langSlug": "kotlin", "code": "class Solution {\n fun intersection(start1: IntArray, end1: IntArray, start2: IntArray, end2: IntArray): DoubleArray {\n\n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Dart", "langSlug": "dart", "code": "class Solution {\n List intersection(List start1, List end1, List start2, List end2) {\n\n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Go", "langSlug": "golang", "code": "func intersection(start1 []int, end1 []int, start2 []int, end2 []int) []float64 {\n\n}", "__typename": "CodeSnippetNode" }, { "lang": "Ruby", "langSlug": "ruby", "code": "# @param {Integer[]} start1\n# @param {Integer[]} end1\n# @param {Integer[]} start2\n# @param {Integer[]} end2\n# @return {Float[]}\ndef intersection(start1, end1, start2, end2)\n\nend", "__typename": "CodeSnippetNode" }, { "lang": "Scala", "langSlug": "scala", "code": "object Solution {\n def intersection(start1: Array[Int], end1: Array[Int], start2: Array[Int], end2: Array[Int]): Array[Double] = {\n\n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Rust", "langSlug": "rust", "code": "impl Solution {\n pub fn intersection(start1: Vec, end1: Vec, start2: Vec, end2: Vec) -> Vec {\n\n }\n}", "__typename": "CodeSnippetNode" }, { "lang": "Racket", "langSlug": "racket", "code": "(define/contract (intersection start1 end1 start2 end2)\n (-> (listof exact-integer?) (listof exact-integer?) (listof exact-integer?) (listof exact-integer?) (listof flonum?))\n\n )", "__typename": "CodeSnippetNode" }, { "lang": "Erlang", "langSlug": "erlang", "code": "-spec intersection(Start1 :: [integer()], End1 :: [integer()], Start2 :: [integer()], End2 :: [integer()]) -> [float()].\nintersection(Start1, End1, Start2, End2) ->\n .", "__typename": "CodeSnippetNode" }, { "lang": "Elixir", "langSlug": "elixir", "code": "defmodule Solution do\n @spec intersection(start1 :: [integer], end1 :: [integer], start2 :: [integer], end2 :: [integer]) :: [float]\n def intersection(start1, end1, start2, end2) do\n\n end\nend", "__typename": "CodeSnippetNode" } ], "stats": "{\"totalAccepted\": \"11.4K\", \"totalSubmission\": \"25.9K\", \"totalAcceptedRaw\": 11412, \"totalSubmissionRaw\": 25908, \"acRate\": \"44.0%\"}", "hints": [ "所有的线都会相交吗?什么决定两条线是否相交?", "无限长的线几乎总会相交,除非它们相互平行。平行线也仍然有可能“相交”——如果它们是同一条线。这对线段来说意味着什么?", "我们怎样才能找到两条线的交点。如果两条线相交,那么交点必须与它们的“无限”延伸处于同一点。这两条线之间是交点吗?", "仔细考虑如何处理线段具有相同斜率和与y轴相交的情况。" ], "solution": null, "status": null, "sampleTestCase": "[0,0]\n[0,1]\n[1,0]\n[1,1]", "metaData": "{\"name\": \"intersection\", \"params\": [{\"name\": \"start1\", \"type\": \"integer[]\"}, {\"name\": \"end1\", \"type\": \"integer[]\"}, {\"name\": \"start2\", \"type\": \"integer[]\"}, {\"name\": \"end2\", \"type\": \"integer[]\"}], \"return\": {\"type\": \"double[]\"}}", "judgerAvailable": true, "judgeType": "large", "mysqlSchemas": [], "enableRunCode": true, "envInfo": "{\"cpp\":[\"C++\",\"

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