Q1. In all algorithm, always explain how and why they work. If not by a proof,...

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Q1. In all algorithm, always explain how and why theywork. If not by a proof, at least by a clear explanation. ALWAYS,analyze the running time complexity of your algorithms. Do notwrite a program. Write pseudo codes or explain inwords.
(A) Find an efficient data structure supporting the followingoperations. Insert(S, x), Deleteâˆ’Max(S), and Deleteâˆ’100'th(S) whichdeletes from H the 100 largest element in the structure. Assumethat the number of elements is more than 100. Also assume that thenumbers are pairwise distinct and so the 100â€th largest element iswell defined.
(B): Recall the problem in which you have k sorted array each ofsize n, which need to make one single sorted array. Find anotherfast way to unite the arrays that does not use Priority Queue.

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A Find an efficient data structure supporting the following operations InsertS x DeleteMaxS and Delete100thS which deletes from H the 100 largest element in the structure Assume that the number of elements is more than 100 Also assume that the numbers are pairwise distinct and so the 100th largest element is well defined Ans You can use max Heap data Structure to store the value Max heap always keep See Answer

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