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973. K Closest Points to Origin

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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.)

 

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:

<li><code>1 &lt;= K &lt;= points.length &lt;= 10000</code></li>

<li><code>-10000 &lt; points[i][0] &lt; 10000</code></li>

<li><code>-10000 &lt; points[i][1] &lt; 10000</code></li>

Solutions

Python3

Java

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