{ "data": { "question": { "questionId": "1794", "questionFrontendId": "1675", "categoryTitle": "Algorithms", "boundTopicId": 499783, "title": "Minimize Deviation in Array", "titleSlug": "minimize-deviation-in-array", "content": "
You are given an array nums
of n
positive integers.
You can perform two types of operations on any element of the array any number of times:
\n\n2
.\n\n\t[1,2,3,4]
, then you can do this operation on the last element, and the array will be [1,2,3,2].
2
.\n\t[1,2,3,4]
, then you can do this operation on the first element, and the array will be [2,2,3,4].
The deviation of the array is the maximum difference between any two elements in the array.
\n\nReturn the minimum deviation the array can have after performing some number of operations.
\n\n\n
Example 1:
\n\n\nInput: nums = [1,2,3,4]\nOutput: 1\nExplanation: You can transform the array to [1,2,3,2], then to [2,2,3,2], then the deviation will be 3 - 2 = 1.\n\n\n
Example 2:
\n\n\nInput: nums = [4,1,5,20,3]\nOutput: 3\nExplanation: You can transform the array after two operations to [4,2,5,5,3], then the deviation will be 5 - 2 = 3.\n\n\n
Example 3:
\n\n\nInput: nums = [2,10,8]\nOutput: 3\n\n\n
\n
Constraints:
\n\nn == nums.length
2 <= n <= 105
1 <= nums[i] <= 109
给你一个由 n
个正整数组成的数组 nums
。
你可以对数组的任意元素执行任意次数的两类操作:
\n\n2
\n\n\t[1,2,3,4]
,那么你可以对最后一个元素执行此操作,使其变成 [1,2,3,2]
2
\n\t[1,2,3,4]
,那么你可以对第一个元素执行此操作,使其变成 [2,2,3,4]
数组的 偏移量 是数组中任意两个元素之间的 最大差值 。
\n\n返回数组在执行某些操作之后可以拥有的 最小偏移量 。
\n\n\n\n
示例 1:
\n\n输入:nums = [1,2,3,4]\n输出:1\n解释:你可以将数组转换为 [1,2,3,2],然后转换成 [2,2,3,2],偏移量是 3 - 2 = 1\n\n\n
示例 2:
\n\n输入:nums = [4,1,5,20,3]\n输出:3\n解释:两次操作后,你可以将数组转换为 [4,2,5,5,3],偏移量是 5 - 2 = 3\n\n\n
示例 3:
\n\n输入:nums = [2,10,8]\n输出:3\n\n\n
\n\n
提示:
\n\nn == nums.length
2 <= n <= 105
1 <= nums[i] <= 109
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