User Account

All Pages

merge sorting, Data Structure & Algorithms

Assignment Help:
ESO207: Programming Assignment 1
Due on 6 Sept, 2015. To be submitted online.
Problem In this assignment you are required to implement k-way Merge Sort algorithm. In this version partition the input sequence of integers into k almost equal (may di?er by at most 1) subsequences, recursively sort, and then merge the k sequences. Input: A positive integer n, a sequence of integers (a1,a2,...,an), and a positive integer k = 2. Goal: Design a program KWMS(A,i,j,k) which sorts in decreasing order the integers contained in an array A in the index range i : j (including i and j) using k-way merge. After the completion of sorting the program should print A[i : j] starting from the new line: The sorted list in the range i:j is ........ Details: Please implement the program by strictly following these step. 1. Use three global arrays A,B,C. A contains the input sequence. B is used to form a MaxHeap, and C is used for temporary storage. 2. Let a = d(j -i + 1)/ke,b = b(j -i + 1)/kc,r = (j -i + 1)%k (remainder of (j -i + 1)÷k). Partition the array A[i : j] into A[i : i+a-1],A[i+a : i+2a-1],...,A[i+(r-1)a : i+ra-1],A[i+ra : i + ra + b],A[i + ra + b : i + ra + 2b],.... 3. In order to perform k-way merge implement a MaxHeap on another array B. Let B be a 2D array with the range [0 : 1][1 : k]. To store integer x of subarray j by setting B[0][a] = x and B[1][a] = j. 4. To perform merge operation, ?rst enter the greatest element of each non-empty sub-array into the heap, starting from the leftmost subarray (lower indices to the higher indices). Then each time the greatest element is extracted from the Heap, identify its subarray from B[][1] and insert the next element from that subarray into the heap. If that sub-array becomes empty, then no insertion will occur. MaxHeap
1
must be implemented exactly the way we discussed in the class. Use HeapSize to keep track of the number of elements currently in the heap. 5. The merge must be done into array C and then its content must be transferred back to A. 6. Take the array A and C lengths to be 1000 each. 7. To help us evaluate the correctness of the program, please print from a fresh line Content of the heap is B[0][1],B[0][2],...,B[0][k] after each extraction+insertion (or after extraction, if no insertion happens) in the heap. At the end of the routine KWMS(A,i,j,k) put a print statement which prints from a fresh line The sorted list in the range i : j is A[i],A[i + 1],...,A[j]. Note that this being a recursive program this statement will get printed after each recursive call.
2

Related Discussions:- merge sorting

Kruskal algorithm for minimum spanning, Implementations of Kruskal's algori...

Implementations of Kruskal's algorithm for Minimum Spanning Tree. You are implementing Kruskal's algorithm here. Please implement the array-based Union-Find data structure.

Determine about the unreachable code assertion, Determine about the unreach...

Determine about the unreachable code assertion An unreachable code assertion is an assertion that is placed at a point in a program that shouldn't be executed under any circum

Create accessors for this data structure, Create a Money data structure tha...

Create a Money data structure that is made up of amount and currency. (a) Write a constructor for this data structure (b) Create accessors for this data structure (c) Writ

Explain linked list and its types, Data Structure and Algorithm 1. Exp...

Data Structure and Algorithm 1. Explain linked list and its types. How do you represent linked list in memory? 2. List and elucidate the types of binary tree. 3. Descr

Importance of object-oriented over java, Importance of Object-Oriented over...

Importance of Object-Oriented over java Java is basically based on OOP notions of classes and objects. Java uses a formal OOP type system that should be obeyed at compile-t

Relative and direct files, Each data record contains a fixed place in a rel...

Each data record contains a fixed place in a relative file. Each record ought to have associated with it in integer key value which will help identify this slot. Therefore, this ke

State about the simple types - built-in types, State about the Simple types...

State about the Simple types - Built-In Types Values of the carrier set are atomic, that is, they can't be divided into parts. Common illustrations of simple types are inte

Calculate address of an element in an array., Q. Explain the technique to c...

Q. Explain the technique to calculate the address of an element in an array. A  25 × 4  matrix array DATA is stored in memory in 'row-major order'. If base  address is 200 and

Write down the procedure to reverse a singly linked list. , Ans: A pr...

Ans: A procedure to reverse the singly linked list: reverse(struct node **st) { struct node *p, *q, *r; p = *st; q = NULL; while(p != NULL) { r =q;

Linked list, write an algorithm for multiplication of two sparse matrices u...

write an algorithm for multiplication of two sparse matrices using Linked Lists

Write Your Message!

Captcha
Order Assignment

Featured Services

Order Now

Popular Subjects

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +91-977-207-8620

Phone: +91-977-207-8620

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd