{ "data": { "question": { "questionId": "1563", "questionFrontendId": "1453", "categoryTitle": "Algorithms", "boundTopicId": 247751, "title": "Maximum Number of Darts Inside of a Circular Dartboard", "titleSlug": "maximum-number-of-darts-inside-of-a-circular-dartboard", "content": "

Alice is throwing n darts on a very large wall. You are given an array darts where darts[i] = [xi, yi] is the position of the ith dart that Alice threw on the wall.

\n\n

Bob knows the positions of the n darts on the wall. He wants to place a dartboard of radius r on the wall so that the maximum number of darts that Alice throws lies on the dartboard.

\n\n

Given the integer r, return the maximum number of darts that can lie on the dartboard.

\n\n

 

\n

Example 1:

\n\"\"\n
\nInput: darts = [[-2,0],[2,0],[0,2],[0,-2]], r = 2\nOutput: 4\nExplanation: Circle dartboard with center in (0,0) and radius = 2 contain all points.\n
\n\n

Example 2:

\n\"\"\n
\nInput: darts = [[-3,0],[3,0],[2,6],[5,4],[0,9],[7,8]], r = 5\nOutput: 5\nExplanation: Circle dartboard with center in (0,4) and radius = 5 contain all points except the point (7,8).\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "圆形靶内的最大飞镖数量", "translatedContent": "

墙壁上挂着一个圆形的飞镖靶。现在请你蒙着眼睛向靶上投掷飞镖。

\n\n

投掷到墙上的飞镖用二维平面上的点坐标数组表示。飞镖靶的半径为 r

\n\n

请返回能够落在 任意 半径为 r 的圆形靶内或靶上的最大飞镖数。

\n\n

 

\n\n

示例 1:

\n\n

\"\"

\n\n
输入:points = [[-2,0],[2,0],[0,2],[0,-2]], r = 2\n输出:4\n解释:如果圆形的飞镖靶的圆心为 (0,0) ,半径为 2 ,所有的飞镖都落在靶上,此时落在靶上的飞镖数最大,值为 4 。\n
\n\n

示例 2:

\n\n

\"\"

\n\n
输入:points = [[-3,0],[3,0],[2,6],[5,4],[0,9],[7,8]], r = 5\n输出:5\n解释:如果圆形的飞镖靶的圆心为 (0,4) ,半径为 5 ,则除了 (7,8) 之外的飞镖都落在靶上,此时落在靶上的飞镖数最大,值为 5 。
\n\n

示例 3:

\n\n
输入:points = [[-2,0],[2,0],[0,2],[0,-2]], r = 1\n输出:1\n
\n\n

示例 4:

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

 

\n\n

提示:

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