{ "data": { "question": { "questionId": "2706", "questionFrontendId": "2567", "boundTopicId": null, "title": "Minimum Score by Changing Two Elements", "titleSlug": "minimum-score-by-changing-two-elements", "content": "
You are given a 0-indexed integer array nums
.
nums
is the minimum value of |nums[i] - nums[j]|
over all 0 <= i < j < nums.length
.nums
is the maximum value of |nums[i] - nums[j]|
over all 0 <= i < j < nums.length
.nums
is the sum of the high and low scores of nums.To minimize the score of nums
, we can change the value of at most two elements of nums
.
Return the minimum possible score after changing the value of at most two elements of nums
.
Note that |x|
denotes the absolute value of x
.
\n
Example 1:
\n\n\nInput: nums = [1,4,3]\nOutput: 0\nExplanation: Change value of nums[1] and nums[2] to 1 so that nums becomes [1,1,1]. Now, the value of |nums[i] - nums[j]|
is always equal to 0, so we return 0 + 0 = 0.\n
\n\nExample 2:
\n\n\nInput: nums = [1,4,7,8,5]\nOutput: 3\nExplanation: Change nums[0] and nums[1] to be 6. Now nums becomes [6,6,7,8,5].\nOur low score is achieved when i = 0 and j = 1, in which case |\n\nnums[i] - nums[j]
| = |6 - 6| = 0.\nOur high score is achieved when i = 3 and j = 4, in which case |nums[i] - nums[j]
| = |8 - 5| = 3.\nThe sum of our high and low score is 3, which we can prove to be minimal.\n
\n
Constraints:
\n\n3 <= nums.length <= 105
1 <= nums[i] <= 109
Compiled with clang 11
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Most standard library headers are already included automatically for your convenience.
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