need some one with good data structure and algorithm knowledge


CSE 310, All Sections | Data Structures and Algorithms | Fall 2015

Assignment #2

Available Wednesday, 09/16/2015; due electronically Friday, 10/09/2015

This assignment covers Chapters 6 (Heaps), 7 (Quicksort), and 9 (Medians and Order Statistics) of the text

[100 marks total].

Submit electronically, before midnight on Friday, 10/09/2015 using the submission link on Blackboard for

Assignment #2, a le named [url removed, login to view] containing your solution to this assignment

(a .doc or .docx le is also acceptable, but .pdf is preferred).

1. Heaps. [10 marks total]

(a) What are the minimum and maximum number of elements in a heap of height h? [2 marks]

(b) Show that an n-element heap has height blog nc. [2 marks]

(c) Show that in any subtree of a max-heap, the root of the subtree contains the largest value occurring

anywhere in that subtree. [4 marks]

(d) Is the sequence h23; 17; 14; 6; 13; 10; 1; 5; 7; 12i a max-heap? Why or why not? [2 marks]

2. Heaps. [10 marks total]

(a) Illustrate the operation of Max-Heapify(A; 3) on the array A = h27; 17; 3; 16; 13; 10; 1; 5; 7; 12; 4; 8; 9; 10i.

[2 marks]

(b) Illustrate the operation of Build-Max-Heap(A) on the array A = h5; 3; 17; 10; 84; 19; 6; 22; 9i.

[3 marks]

(c) You are given a list of numbers for which you need to construct a min-heap. How would you use

an algorithm for constructing a max-heap to construct a min-heap? [5 marks]

3. Heapsort. [10 marks]

Argue the correctness of Heapsort using the following loop invariant.

At the start of each iteration of the for loop, the subarray A[1 : : : i] is a max-heap containing

the i smallest elements of A[1 : : : n], and the subarray A[i+1 : : : n] contains the n

Taidot: C-ohjelmointi, C++ -ohjelmointi, tekniikka, Java

Näytä lisää: why use data structures, why data structures, why data structure, what is the algorithm, what is quicksort in data structure, what is link list data structure, what is heap data structure, what is data structures in java, what is data structures in c, what is data structures and algorithms, what is data structures, what is data structure in c, what is data structure, what is data in data structure, what is an algorithm, what is algorithm in data structure, what is algorithm, what is a heap data structure, what is a data structures, what is a data structure in c, what is a data structure, what is a algorithm, what data structure, what are the data structures in java, what are some

About the Employer:
( 121 reviews ) Calcutta, India

Projektin tunnus: #8653637

Myönnetty käyttäjälle:


I've solved many questions of this sort , Hopefully I will be of help on this project :) . how much time exactly do you have left ?

₹400 INR / tunti
(0 arvostelua)

2 freelanceria on tarjonnut keskimäärin 339 ₹/tunti tähän työhön


A proposal has not yet been provided

₹277 INR / tunti
(28 arvostelua)

Hi I am from an ISC/ICSE background and currently 4th Year BE student and I am perfect candidate to do the job. I have almost 5 years of experience learning and practicing java. Thank You Yash

₹277 INR / tunti
(0 arvostelua)