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:
1 <= K <= points.length <= 10000
-10000 < points[i][0] < 10000
-10000 < points[i][1] < 10000
Solution:
class Solution { public int[][] kClosest(int[][] points, int K) { PriorityQueue<int[]> pq = new PriorityQueue<>((a, b) -> { return Double.compare(Math.sqrt(b[0] * b[0] + b[1] * b[1]), Math.sqrt(a[0] * a[0] + a[1] * a[1])); }); int[][] result = new int[K][2]; for (int[] point : points) { if (pq.size() < K) { pq.offer(point); } else { int[] largest = pq.peek(); if (Math.sqrt(largest[0] * largest[0] + largest[1] * largest[1]) > Math.sqrt(point[0] * point[0] + point[1] * point[1])) { pq.poll(); pq.offer(point); } } } int i = 0; while (pq.size() > 0) { result[i ++] = pq.poll(); } return result; } }