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1. Show that the sum ppearing in the analysis of heap-sort, is Ω(nlogn). 2. Bill claims that a…

1. Show that the sum ppearing in the analysis of heap-sort, is Ω(nlogn). 2. Bill claims that a…

1. Show that the sum  ppearing in the analysis of heap-sort, is Ω(nlogn).2. Bill claims that a preorder traversal of a heap will list its keys in nondecreasing order. Draw an example of a heap that proves him wrong.