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Re:My Favorite Algorithm: Linear Time Median Finding by danlark on Thursday July 25, 2024 @10:33AM (#41069150)
3 and 4 elements will fail to prove the complexity is linear

You still can do 3 or 4 but with slight modifications

https://arxiv.org/abs/1409.3600

For example, for 4 elements, it's advised to take lower median for the first half and upper median for the second half. Then the complexity will be linear

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