973.K Cloest Points to Origin(最接近原点的 K 个点)

Description

We have a list of points on the plane. Find the K closest points to the origin (0, 0).

(Here, the distance between two points on a plane is the Euclidean distance.)

You may return the answer in any order. The answer is guaranteed to be unique (except for the order that it is in.)


我们有一个由平面上的点组成的列表 points。需要从中找出 K 个距离原点 (0, 0) 最近的点。

(这里,平面上两点之间的距离是欧几里德距离。)

你可以按任何顺序返回答案。除了点坐标的顺序之外,答案确保是唯一的。

题目链接:https://leetcode.com/problems/k-closest-points-to-origin/

Difficulty: easy

Example 1:

Input: points = [[1,3],[-2,2]], K = 1
Output: [[-2,2]]
Explanation: 
The distance between (1, 3) and the origin is sqrt(10).
The distance between (-2, 2) and the origin is sqrt(8).
Since sqrt(8) < sqrt(10), (-2, 2) is closer to the origin.
We only want the closest K = 1 points from the origin, so the answer is just [[-2,2]].

Example 2:

Input: points = [[3,3],[5,-1],[-2,4]], K = 2
Output: [[3,3],[-2,4]]
(The answer [[-2,4],[3,3]] would also be accepted.)

Note:

  • 1 <= K <= points.length <= 10000
  • -10000 < points[i][0] < 10000
  • -10000 < points[i][1] < 10000

分析

  • updating(Solution)

参考代码

class Solution(object):
def kClosest(self, points, K):
    points.sort(key = lambda P: P[0]**2 + P[1]**2)
    return points[:K]
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