{ "data": { "question": { "questionId": "1819", "questionFrontendId": "1718", "boundTopicId": null, "title": "Construct the Lexicographically Largest Valid Sequence", "titleSlug": "construct-the-lexicographically-largest-valid-sequence", "content": "

Given an integer n, find a sequence that satisfies all of the following:

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The distance between two numbers on the sequence, a[i] and a[j], is the absolute difference of their indices, |j - i|.

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Return the lexicographically largest sequence. It is guaranteed that under the given constraints, there is always a solution.

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A sequence a is lexicographically larger than a sequence b (of the same length) if in the first position where a and b differ, sequence a has a number greater than the corresponding number in b. For example, [0,1,9,0] is lexicographically larger than [0,1,5,6] because the first position they differ is at the third number, and 9 is greater than 5.

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Example 1:

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\nInput: n = 3\nOutput: [3,1,2,3,2]\nExplanation: [2,3,2,1,3] is also a valid sequence, but [3,1,2,3,2] is the lexicographically largest valid sequence.\n
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Example 2:

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\nInput: n = 5\nOutput: [5,3,1,4,3,5,2,4,2]\n
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Constraints:

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