Time complexity of finding kth largest element in n sorted arrays using quickselect

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Time complexity of finding kth largest element in n sorted arrays using quickselect



If you have Jsorted arrays of length N, find the kth smallest element among them.
There are a few potential solutions here, some involving a min heap or binary search, but I want to know what the time complexity would be for using quickselect. If we simply concatenated each of the arrays together and used quickselect on the combined array.


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Quickselect runs in linear time in the average case, but the combining of arrays does expand the search space, but it is more efficient than using a merging strategy because quickselect necessarily allows some elements to be ignored if you choose good pivots.









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