{ "data": { "question": { "questionId": "1799", "questionFrontendId": "1681", "boundTopicId": null, "title": "Minimum Incompatibility", "titleSlug": "minimum-incompatibility", "content": "

You are given an integer array nums​​​ and an integer k. You are asked to distribute this array into k subsets of equal size such that there are no two equal elements in the same subset.

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A subset's incompatibility is the difference between the maximum and minimum elements in that array.

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Return the minimum possible sum of incompatibilities of the k subsets after distributing the array optimally, or return -1 if it is not possible.

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A subset is a group integers that appear in the array with no particular order.

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Example 1:

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\nInput: nums = [1,2,1,4], k = 2\nOutput: 4\nExplanation: The optimal distribution of subsets is [1,2] and [1,4].\nThe incompatibility is (2-1) + (4-1) = 4.\nNote that [1,1] and [2,4] would result in a smaller sum, but the first subset contains 2 equal elements.
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Example 2:

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\nInput: nums = [6,3,8,1,3,1,2,2], k = 4\nOutput: 6\nExplanation: The optimal distribution of subsets is [1,2], [2,3], [6,8], and [1,3].\nThe incompatibility is (2-1) + (3-2) + (8-6) + (3-1) = 6.\n
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Example 3:

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\nInput: nums = [5,3,3,6,3,3], k = 3\nOutput: -1\nExplanation: It is impossible to distribute nums into 3 subsets where no two elements are equal in the same subset.\n
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Constraints:

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Python 2.7.12.

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Python 3.10.

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