Question: 3. Consider the following algorithm SomeSort(A, k) N = length(A) for i in [o,.. ,n-k] MergeSort (A,i,itk-1) correctly sort A given k. (c) Prove that

3. Consider the following algorithm SomeSort(A, k) N = length(A) for i in [o,.. ,n-k] MergeSort (A,i,itk-1) correctly sort A given k. (c) Prove that your assumption(s) from part a are sufficient. That is, prove the correctness of SomeSort under your assumption(s) from part a (d) Assuming that the assumption(s) from part a hold on A, prove a tight bound in terms of n and k on the worst-case runtime of SomeSort

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