docs(docs): add MDX page for LeetCode 973 K Closest Points to Origin

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Prad Nukala
2026-09-14 12:37:11 -04:00
parent 2066856d15
commit 88ff63f5c4
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---
title: '973. K Closest Points to Origin'
description: Given an array of points where points[i] = [xi, yi] represents a point on the X-Y plane and an integer k, return the k closest points to the origin (0, 0)
sidebar:
label: 'K Closest Points to Origin'
badge: 'Medium'
---
<Badge variant="accent">Heap / Priority Queue</Badge>
### 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]]`
- Explanation: The answer [[-2,4],[3,3]] would also be accepted.
### Constraints:
- `1 <= k <= points.length <= 10^4`
- `-10^4 <= xi, yi <= 10^4`
## Solution
```py
import heapq
class Solution:
def kClosest(self, points: List[List[int]], k: int) -> List[List[int]]:
minHeap = []
for x, y in points:
dist = (x**2) + (y**2)
minHeap.append([dist, x, y])
heapq.heapify(minHeap)
res = []
while k > 0:
dist, x, y = heapq.heappop(minHeap)
res.append([x, y])
k -= 1
return res
```