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Consider the following recursive sorting algorithm. Algorithm WeirdSoRT (L, start, end ) : 1: if end start =2 then 2: if L[ start ]L[ start

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Consider the following recursive sorting algorithm. Algorithm WeirdSoRT (L, start, end ) : 1: if end start =2 then 2: if L[ start ]L[ start +1] then 3: Exchange L[ start ] and L[ start +1]. 4: end if 5: else if end-start >2 then 6: k:=( end start ) div 3 . 7: WEIRDSorT (L, start, end k). 8: WEIRDSorT (L, start +k, end ). 9: WEIRDSorT (L, start, end k). 10: end if Let n=L be the length of the list being sorted by ParallezMergeSort. P2.1. Is WeIrpSort a stable sort algorithm? If yes, explain why. If no, show why not and indicate whether the algorithm can be made stable. P2.2. Prove via induction that WeIrdSont will sort list L. P2.3. Give a recurrence T(n) for the runtime complexity of WerroSorT and solve the recurrence T(n) by proving that T(n)e(n) for some expression e that uses n

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