Question: Please explain with a pseudo code and show the time complexity calculation. Thank you. 1. If we have an algorithm that finds the kth-smallest element

Please explain with a pseudo code and show the time complexity calculation. Thank you.

1. If we have an algorithm that finds the kth-smallest element of an n element set, we can obtain an algorithm for finding the median element simply by calling the kth-smallest algorithm with k = ceiling((n+1)/2). This question asks you to do the converse. Given an algorithm that finds the median element of an n element set in Theta(n) time, design an algorithm that finds the kth-smallest element for arbitrary k in Theta(n) time using the median-finding algorithm. Be sure to analyze the running time of your algorithm.

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