Now suppose that you are given two unsorted arrays A and B, con- taining m and n elements respectively. You are also given a black box O(n) selection algorithm SEL that can be called on A and B separately and, in addition, a small number (say, ten) of extra mem- ory words that can be used to store some extra data. Using SEL as a subroutine, design an O(n + m) algorithm for finding the kth smallest element in the combined set of O(m + n) elements. You may not merge the two arrays in another array and call an algo- rithm (either SEL or something you wrote) on this third array. This is because there is no extra memory available to build this third array.

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