{ "data": { "question": { "questionId": "1581", "questionFrontendId": "1471", "categoryTitle": "Algorithms", "boundTopicId": 274452, "title": "The k Strongest Values in an Array", "titleSlug": "the-k-strongest-values-in-an-array", "content": "
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.
\nIf |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).
arr = [6, -3, 7, 2, 11]
, n = 5
and the median is obtained by sorting the array arr = [-3, 2, 6, 7, 11]
and the median is arr[m]
where m = ((5 - 1) / 2) = 2
. The median is 6
.arr = [-7, 22, 17, 3]
, n = 4
and the median is obtained by sorting the array arr = [-7, 3, 17, 22]
and the median is arr[m]
where m = ((4 - 1) / 2) = 1
. The median is 3
.\n
Example 1:
\n\n\nInput: arr = [1,2,3,4,5], k = 2\nOutput: [5,1]\nExplanation: Median is 3, the elements of the array sorted by the strongest are [5,1,4,2,3]. The strongest 2 elements are [5, 1]. [1, 5] is also accepted answer.\nPlease note that although |5 - 3| == |1 - 3| but 5 is stronger than 1 because 5 > 1.\n\n\n
Example 2:
\n\n\nInput: arr = [1,1,3,5,5], k = 2\nOutput: [5,5]\nExplanation: Median is 3, the elements of the array sorted by the strongest are [5,5,1,1,3]. The strongest 2 elements are [5, 5].\n\n\n
Example 3:
\n\n\nInput: arr = [6,7,11,7,6,8], k = 5\nOutput: [11,8,6,6,7]\nExplanation: Median is 7, the elements of the array sorted by the strongest are [11,8,6,6,7,7].\nAny permutation of [11,8,6,6,7] is accepted.\n\n\n
\n
Constraints:
\n\n1 <= arr.length <= 105
-105 <= arr[i] <= 105
1 <= k <= arr.length
给你一个整数数组 arr
和一个整数 k
。
设 m
为数组的中位数,只要满足下述两个前提之一,就可以判定 arr[i]
的值比 arr[j]
的值更强:
|arr[i] - m| > |arr[j] - m|
|arr[i] - m| == |arr[j] - m|
,且 arr[i] > arr[j]
请返回由数组中最强的 k
个值组成的列表。答案可以以 任意顺序 返回。
中位数 是一个有序整数列表中处于中间位置的值。形式上,如果列表的长度为 n
,那么中位数就是该有序列表(下标从 0 开始)中位于 ((n - 1) / 2)
的元素。
arr = [6, -3, 7, 2, 11]
,n = 5
:数组排序后得到 arr = [-3, 2, 6, 7, 11]
,数组的中间位置为 m = ((5 - 1) / 2) = 2
,中位数 arr[m]
的值为 6
。arr = [-7, 22, 17, 3]
,n = 4
:数组排序后得到 arr = [-7, 3, 17, 22]
,数组的中间位置为 m = ((4 - 1) / 2) = 1
,中位数 arr[m]
的值为 3
。\n\n
示例 1:
\n\n输入:arr = [1,2,3,4,5], k = 2\n输出:[5,1]\n解释:中位数为 3,按从强到弱顺序排序后,数组变为 [5,1,4,2,3]。最强的两个元素是 [5, 1]。[1, 5] 也是正确答案。\n注意,尽管 |5 - 3| == |1 - 3| ,但是 5 比 1 更强,因为 5 > 1 。\n\n\n
示例 2:
\n\n输入:arr = [1,1,3,5,5], k = 2\n输出:[5,5]\n解释:中位数为 3, 按从强到弱顺序排序后,数组变为 [5,5,1,1,3]。最强的两个元素是 [5, 5]。\n\n\n
示例 3:
\n\n输入:arr = [6,7,11,7,6,8], k = 5\n输出:[11,8,6,6,7]\n解释:中位数为 7, 按从强到弱顺序排序后,数组变为 [11,8,6,6,7,7]。\n[11,8,6,6,7] 的任何排列都是正确答案。\n\n
示例 4:
\n\n输入:arr = [6,-3,7,2,11], k = 3\n输出:[-3,11,2]\n\n\n
示例 5:
\n\n输入:arr = [-7,22,17,3], k = 2\n输出:[22,17]\n\n\n
\n\n
提示:
\n\n1 <= arr.length <= 10^5
-10^5 <= arr[i] <= 10^5
1 <= k <= arr.length
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