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1. Implement an in-place version of insertion-sort and an in-place version of quicksort. Perform…

1. Implement an in-place version of insertion-sort and an in-place version of quicksort. Perform…

1. Implement an in-place version of insertion-sort and an in-place version of quicksort. Perform benchmarking tests to determine the range of values of n where quick-sort is on average better than insertion-sort.2. Design and implement a version of the bucket-sort algorithm for sorting a list of n entries with integer keys taken from the range [0,N − 1], for N ≥ 2. The algorithm should run in O(n+N) time.