{ "data": { "question": { "questionId": "1519", "questionFrontendId": "1403", "boundTopicId": null, "title": "Minimum Subsequence in Non-Increasing Order", "titleSlug": "minimum-subsequence-in-non-increasing-order", "content": "

Given the array nums, obtain a subsequence of the array whose sum of elements is strictly greater than the sum of the non included elements in such subsequence. 

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If there are multiple solutions, return the subsequence with minimum size and if there still exist multiple solutions, return the subsequence with the maximum total sum of all its elements. A subsequence of an array can be obtained by erasing some (possibly zero) elements from the array. 

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Note that the solution with the given constraints is guaranteed to be unique. Also return the answer sorted in non-increasing order.

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Example 1:

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\r\nInput: nums = [4,3,10,9,8]\r\nOutput: [10,9] \r\nExplanation: The subsequences [10,9] and [10,8] are minimal such that the sum of their elements is strictly greater than the sum of elements not included, however, the subsequence [10,9] has the maximum total sum of its elements. \r\n
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Example 2:

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\r\nInput: nums = [4,4,7,6,7]\r\nOutput: [7,7,6] \r\nExplanation: The subsequence [7,7] has the sum of its elements equal to 14 which is not strictly greater than the sum of elements not included (14 = 4 + 4 + 6). Therefore, the subsequence [7,6,7] is the minimal satisfying the conditions. Note the subsequence has to returned in non-decreasing order.  \r\n
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Example 3:

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\r\nInput: nums = [6]\r\nOutput: [6]\r\n
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Constraints:

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