K Closest Points to Origin
Problem
Given an array of
points
wherepoints[i] = [xi, yi]
represents a point on the X-Y plane and an integerk
, return thek
closest points to the origin(0, 0)
.The distance between two points on the X-Y plane is the Euclidean distance (i.e.,
√(x1 - x2)2 + (y1 - y2)2
).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]] Explanation: The answer [[-2,4],[3,3]] would also be accepted.
Pseudocode
- calculate area, sort in ascending order, splice from 0 to kth
Solution
// https://leetcode.com/problems/k-closest-points-to-origin/
var kClosest = function (points, k) {
function distance(point) {
return point[0] * point[0] + point[1] * point[1];
}
return points
.sort((a, b) => {
return distance(a) - distance(b);
})
.slice(0, k);
};
Time and Space Complexity
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Space
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