Question: Question 1. (25 points) Suppose that, in the algorithm we explained in class for selecting the kth smallest element in a set of size n,

 Question 1. (25 points) Suppose that, in the algorithm we explained

Question 1. (25 points) Suppose that, in the algorithm we explained in class for selecting the kth smallest element in a set of size n, we had partitioned the input into n/9 chunks of size 9 each (instead of n/5 chunks of size 5 each). Analyze the modified algorithm, and give the recurrence relation governing its running time. What is the order of complexity of the solution to the recurrence ? Briefly justify your

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