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

Time converstion, how to convert 12 hour format into 24 hour format using c...

how to convert 12 hour format into 24 hour format using c program

Graphs, In this unit, we will describe a data structure called Graph. Actua...

In this unit, we will describe a data structure called Graph. Actually, graph is a general tree along no parent-child relationship. In computer science, Graphs have several applica

The various ways in which lc code can be accessed, Problem Your LC code...

Problem Your LC code is stored in a memory location as shown and the variable name is LC                  LC Memory address       Content(LC code)

Indexed sequential files, Indexed Sequential Files An index is inserted...

Indexed Sequential Files An index is inserted to the sequential file to provide random access. An overflow area required to be maintained to permit insertion in sequence. I

The theta-notation, This notation bounds a function to in constant factors....

This notation bounds a function to in constant factors. We say f(n) = Θ(g(n)) if there presents positive constants n 0 , c 1 and c 2 such that to the right of n 0 the value of f

Order of efficiency - linear search, Linear search employee an exhaustive m...

Linear search employee an exhaustive method of verified each element in the array against a key value. Whereas a match is found, the search halts. Will sorting the array before uti

Draw a b-tree., Q. Draw a B-tree of order 3 for the sequence of keys writte...

Q. Draw a B-tree of order 3 for the sequence of keys written below: 2, 4, 9, 8, 7, 6, 3, 1, 5, 10

Representation of records, Records are mapped onto a computer store by simp...

Records are mapped onto a computer store by simply juxtaposing their elements. The address of a component (field) r relative to the origin address of the record r is named the fiel

Explain the term - branching, Explain the term - Branching There are t...

Explain the term - Branching There are two common ways of branching: case of ..... otherwise ...... endcase  if ..... then ..... else ..... endif   case of

Write Your Message!

Captcha
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!

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