The k Strongest Values in an Array
Given an array of integers arr
and an integer k
.
A value arr[i]
is said to be stronger than a value arr[j]
if |arr[i] - m| > |arr[j] - m|
where m
is the median of the array.
If |arr[i] - m| == |arr[j] - m|
, then arr[i]
is said to be stronger than arr[j]
if arr[i] > arr[j]
.
Return a list of the strongest k
values in the array. return the answer in any arbitrary order.
Median is the middle value in an ordered integer list. More formally, if the length of the list is n, the median is the element in position ((n - 1) / 2)
in the sorted list (0-indexed).
For
arr = [6, -3, 7, 2, 11]
,n = 5
and the median is obtained by sorting the arrayarr = [-3, 2, 6, 7, 11]
and the median isarr[m]
wherem = ((5 - 1) / 2) = 2
. The median is6
.For
arr = [-7, 22, 17, 3]
,n = 4
and the median is obtained by sorting the arrayarr = [-7, 3, 17, 22]
and the median isarr[m]
wherem = ((4 - 1) / 2) = 1
. The median is3
.
Example 1:
Example 2:
Example 3:
Example 4:
Example 5:
Constraints:
1 <= arr.length <= 10^5
-10^5 <= arr[i] <= 10^5
1 <= k <= arr.length
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