{ "data": { "question": { "questionId": "2706", "questionFrontendId": "2567", "categoryTitle": "Algorithms", "boundTopicId": 2116483, "title": "Minimum Score by Changing Two Elements", "titleSlug": "minimum-score-by-changing-two-elements", "content": "
You are given an integer array nums
.
nums
is the minimum absolute difference between any two integers.nums
is the maximum absolute difference between any two integers.nums
is the sum of the high and low scores.Return the minimum score after changing two elements of nums
.
\n
Example 1:
\n\nInput: nums = [1,4,7,8,5]
\n\nOutput: 3
\n\nExplanation:
\n\nnums[0]
and nums[1]
to be 6 so that nums
becomes [6,6,7,8,5].Example 2:
\n\nInput: nums = [1,4,3]
\n\nOutput: 0
\n\nExplanation:
\n\nnums[1]
and nums[2]
to 1 so that nums
becomes [1,1,1].\n
Constraints:
\n\n3 <= nums.length <= 105
1 <= nums[i] <= 109
给你一个下标从 0 开始的整数数组 nums
。
nums
的 最小 得分是满足 0 <= i < j < nums.length
的 |nums[i] - nums[j]|
的最小值。nums
的 最大 得分是满足 0 <= i < j < nums.length
的 |nums[i] - nums[j]|
的最大值。nums
的分数是 最大 得分与 最小 得分的和。我们的目标是最小化 nums
的分数。你 最多 可以修改 nums
中 2 个元素的值。
请你返回修改 nums
中 至多两个 元素的值后,可以得到的 最小分数 。
|x|
表示 x
的绝对值。
\n\n
示例 1:
\n\n\n输入:nums = [1,4,3]\n输出:0\n解释:将 nums[1] 和 nums[2] 的值改为 1 ,nums 变为 [1,1,1] 。|nums[i] - nums[j]|
的值永远为 0 ,所以我们返回 0 + 0 = 0 。\n
\n\n示例 2:
\n\n\n输入:nums = [1,4,7,8,5]\n输出:3\n解释:\n将 nums[0] 和 nums[1] 的值变为 6 ,nums 变为 [6,6,7,8,5] 。\n最小得分是 i = 0 且 j = 1 时得到的 |\n\nnums[i] - nums[j]
| = |6 - 6| = 0 。\n最大得分是 i = 3 且 j = 4 时得到的 |nums[i] - nums[j]
| = |8 - 5| = 3 。\n最大得分与最小得分之和为 3 。这是最优答案。\n
\n\n
提示:
\n\n3 <= nums.length <= 105
1 <= nums[i] <= 109
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