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Fundamentals of Algorithms (CS502)

Assignment # 01

Fall 2018

                                                                                                                          Total marks = 20

                                                                                                                           Deadline = 29/11/2018

 Lectures Covered: This assignment covers Lecture # 1 to 11.

Objectives:

Objectives of this assignment are:

  • To view the asymptotically equivalent functions.
  • To understand the concept of lower, upper and tight Bounds.
  • To perform iteration method on recurrence relations.

 

Instructions:

Please read the following instructions carefully before solving & submitting the assignment:

  1. The assignment will not be accepted after due date.
  2. Zero marks will be awarded if the assignment does not open or the file is corrupt.
  3. The assignment file must be an MS Word (.doc/.docx) file format; Assignment will not be accepted in any other format.
  4. Zero marks will be awarded if assignment is copied (from other student or copied from handouts or internet).
  5. Zero marks will be awarded if Student ID is not mentioned in the assignment file.

 

For any query about the assignment, contact only at CS502@vu.edu.pk

Please do not post queries related to assignment on MDB.


 

Question # 1:                                                                         10 Marks

 

Compute Lower Bound and Upper Bound of the following given function by directly finding constants n0, c1 and c2.

 

 

Hint:

 

Question # 2:                                                                         10 Marks

Write down the Recurrence Relation for binary search tree; solve it using iterative method and give answer at the end in asymptotic form.

Note: need to show all possible steps.

 

 

Good Luck

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CS502 Assignment#01 Solution

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Question # 1:   10 Marks

 

 Compute Lower Bound and Upper Bound of the following given function by directly finding constants n0, c1 and c2.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

I think, this is the recurrence relation for Binary search, not Binary Search Tree

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