{ "data": { "question": { "questionId": "2561", "questionFrontendId": "2465", "boundTopicId": null, "title": "Number of Distinct Averages", "titleSlug": "number-of-distinct-averages", "content": "

You are given a 0-indexed integer array nums of even length.

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As long as nums is not empty, you must repetitively:

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The average of two numbers a and b is (a + b) / 2.

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Return the number of distinct averages calculated using the above process.

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Note that when there is a tie for a minimum or maximum number, any can be removed.

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Example 1:

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\nInput: nums = [4,1,4,0,3,5]\nOutput: 2\nExplanation:\n1. Remove 0 and 5, and the average is (0 + 5) / 2 = 2.5. Now, nums = [4,1,4,3].\n2. Remove 1 and 4. The average is (1 + 4) / 2 = 2.5, and nums = [4,3].\n3. Remove 3 and 4, and the average is (3 + 4) / 2 = 3.5.\nSince there are 2 distinct numbers among 2.5, 2.5, and 3.5, we return 2.\n
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Example 2:

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\nInput: nums = [1,100]\nOutput: 1\nExplanation:\nThere is only one average to be calculated after removing 1 and 100, so we return 1.\n
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Constraints:

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