{ "data": { "question": { "questionId": "1793", "questionFrontendId": "1674", "boundTopicId": null, "title": "Minimum Moves to Make Array Complementary", "titleSlug": "minimum-moves-to-make-array-complementary", "content": "
You are given an integer array nums
of even length n
and an integer limit
. In one move, you can replace any integer from nums
with another integer between 1
and limit
, inclusive.
The array nums
is complementary if for all indices i
(0-indexed), nums[i] + nums[n - 1 - i]
equals the same number. For example, the array [1,2,3,4]
is complementary because for all indices i
, nums[i] + nums[n - 1 - i] = 5
.
Return the minimum number of moves required to make nums
complementary.
\n
Example 1:
\n\n\nInput: nums = [1,2,4,3], limit = 4\nOutput: 1\nExplanation: In 1 move, you can change nums to [1,2,2,3] (underlined elements are changed).\nnums[0] + nums[3] = 1 + 3 = 4.\nnums[1] + nums[2] = 2 + 2 = 4.\nnums[2] + nums[1] = 2 + 2 = 4.\nnums[3] + nums[0] = 3 + 1 = 4.\nTherefore, nums[i] + nums[n-1-i] = 4 for every i, so nums is complementary.\n\n\n
Example 2:
\n\n\nInput: nums = [1,2,2,1], limit = 2\nOutput: 2\nExplanation: In 2 moves, you can change nums to [2,2,2,2]. You cannot change any number to 3 since 3 > limit.\n\n\n
Example 3:
\n\n\nInput: nums = [1,2,1,2], limit = 2\nOutput: 0\nExplanation: nums is already complementary.\n\n\n
\n
Constraints:
\n\nn == nums.length
2 <= n <= 105
1 <= nums[i] <= limit <= 105
n
is even.Compiled with clang 11
using the latest C++ 17 standard.
Your code is compiled with level two optimization (-O2
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Most standard library headers are already included automatically for your convenience.
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