QUICKSORT(A, p, r)if p < rthen q + PARTITION(A, p, r)QUICKSORT(A, p, q - 1)QUICKSORT(A, q + 1, r)where the PARTITION procedure is as follows:PARTITION (A, p, r)x - A[r]i-p-1for j - p to r - 1do if A[j] ≤ xthen i + i + 1exchange A[i]exchange A[i+1] → A[r]return i + 1A[j]Draw the flowchart of the above algorithm.• Draw the corresponding graph and label the nodes as n1, n2, ... and edges as e1,e2, ...• Calculate the cyclomatic complexity of the above algorithm

QUICKSORT(A, p, r) if p < r then q - PARTITION(A, p, r) QUICKSORT(A, p. q - 1) QUICKSORT(A, q + 1, r) where the PARTITION procedure is as follows: PARTITION (A, p, r) x - A[r] i-p-1 for j - p to r - 1 do if A[j] ≤ x then i + i + 1 exchange A[i] → A[j] exchange A[i+1] → A[r] return i + 1 Draw the flowchart of the above algorithm. • Draw the corresponding graph and label the nodes as n1, n2, ... and edges as e1,e2, ... • Calculate the cyclomatic complexity of the above algorithm

QUICKSORT(A, p, r) if p < r then q - PARTITION(A, p, r) QUICKSORT(A, p. q - 1) QUICKSORT(A, q + 1, r) where the PARTITION procedure is as follows: PARTITION (A, p, r) x - A[r] i-p-1 for j - p to r - 1 do if A[j] ≤ x then i + i + 1 exchange A[i] → A[j] exchange A[i+1] → A[r] return i + 1 Draw the flowchart of the above algorithm. • Draw the corresponding graph and label the nodes as n1, n2, ... and edges as e1,e2, ... • Calculate the cyclomatic complexity of the above algorithm

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Design of algorithms - divide-and-conquer: (a) Design a divide-and-conquer algorithm DC_PROD that receives as input an array A with n>0 integers and returns the product of the elements in A. You may assume n is a power of 2. In your algorithm identify the relevant parts of a divide-and-conquer strategy: (i) divide, (ii) conquer, and (iii) combine. (b) Establish the recurrence relation for the running time, T(n), of DC_PROD. (c) Apply the Master Theorem to give a tight bound for T(n).
9. For the array (5, 1, 4, 8, 9, 15, 6, 2, 46, 78, 11), which value can be selected as the best pivot value for partition process? a) 1 b) 4 c) 8 d) 15 e) 9 10. If we assume that the complexity of an algorithm is O(nlogn) and we run this algorithm on the array sizes (2, 4, and 16). Which one of the execution times can be for this algorithm with these array sizes? (hint: array sizes are increasing in a quadratic manner). a) 2, 4, 6 b) 2, 8, 16 c) 2, 8, 64 d) 2, 4, 16 e) 2, 16, 128
Question 8 Choose one of the following answer correctly
Use partition algorithm I Need correct figure only upvote otherwise more downvotes I will give u
5. Consider the following Algorithms and explain (a) Merge Sort uses what sort of optimisation: greedy, backtracking or divide and conquer? MergeSort (arr[), 1, r) If r > 1 1. Find the middle point to divide the array into two halves: middle m = 1+ (r-1)/2 2. Call mergeSort for first half: Call mergeSort(arr, 1, m) 3. Call mergeSort for second half: Call mergeSort(arr, m+1, r) 4. Merge the two halves sorted in step 2 and 3: Call merge (arr, 1, m, r) (b) Find Shortest Path to Node To search for shortest path you can use Breadth First or Depth First Search. What is the optimum approach? Traverse the graph breadthwise as follows: a. First move horizontally and visit all the nodes of the current layer b. Move to the next layer Traverse the graph depthwise as follows: a. Create a recursive function that takes the index of the node and a visited array. b. Mark the current node as visited and print the node. c. Traversę all the adjacent and unmarked nodes and call the recursive function with…
Suppose we wish to sort the following values: 84, 22, 19, 11, 60, 68, 31, 29, 58, 23, 45, 93, 48, 31, 7. Assume that: we have three pages of memory for sorting; we will use an external sorting algorithm with a 2-way merge; a page only holds two values. We do not use double buffering and we use quick sort in pass 0 to produce the initial runs. For each sorting pass, show the contents of all temporary files except that you should fully utilize the buffers by sorting every 3 pages into a run in pass 0. Could you show step by step detailed explaination for this?
The two sorted stacks S1 and S2 each contain n and m numbers arranged in decreasing order, with the top elements of each stack pointing to the list item that is smallest. Make a stack MERGE that combines the items in stacks S1 and S2 so that all of the elements in S1 and S2 are accessible in MERGE in descending order, with the largest element as its top element, at the conclusion of the merge.Keep in mind that stack MERGE would have (n + m) elements.
use the partition function given when writing quicksort algorithm
t/f
All parts of Q11 please.
Implement the following algorithms in Java:The pseudocode for QUICKSORT introduced in (slide 14), includingprocedure PARTITION implementing right-most element pivot selection (slide 13). Slide 13:PARTITION(A,p,r) x := A[r] i := p – 1 for j = p to r - 1 if A[j]  x i := i + 1 SWAP(A[i],A[j]) SWAP(A[i+1],A[r]) return i + 1 Slide 14:QUICKSORT(A,p,r) if p < r q := PARTITION(A,p,r) QUICKSORT(A,p,q-1) QUICKSORT(A,q+1,r)