CS502 Assignment 3 Solution 2022 - VU Answer

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CS502 ASSIGNMENT 3 SOLUTION FALL 2021 

Provide by VU Answer

Total Marks: 20

Due Date: 10 Feb 2022

Question 1: 

A thief enters in a Gold shop carrying knapsack (bag). Knapsack (bag) capacity is 33KG of weight. The shop has only 10 gold bricks; each brick has a specific weight and price. Now, the thief’s dilemma is to make such a selection of bricks that it maximizes the profit (i.e. total price) without exceeding the knapsack (bag) weight. 

You are required to do the following task:

1. Help the thief for the selection of bricks using greedy method for getting maximum profit.

Solution:

Bricks	Weight (KG)	Price	Price / Weight Ratio
1	4	$120	$30
2	3	$110	$36.66
3	9	$130	$1.4
4	7	$140	$20
5	5	$200	$40
6	1	$50	$50
7	2	$70	$35
8	11	$160	$14.54
9	6	$153	$25.5
10	13	$170	$13.07

Weight(KG):

1+5+3+2+4+6+7+(11-6)

1+5+3+2+4+6+7+5

33KG

Price:

$50 + $200+ $110+ $70+ $120+ $153+ $140+ (160/11*5)

$50 + $200+ $110+ $70+ $120+ $153+ $140+ $72.72

$915.72

Maximum Profit = $915.72

2. Which approach will be used for this scenario (write only name)?

Solution:

Greedy Method About Price/Weight Ratio

Question 2:

A well-known Network Solution company that deals with large volumes of data over the network wants to use a data compression technique that reduces the coding redundancy without loss of data quality. For trial/test execution the company has decided to use Huffman encoding algorithm to encode the given string "allamaiiii” before transmitting over the network. 

 

You are required to do the following task:

1. Calculate the frequency of characters.

2. Generate Huffman Tree

3. Write the code of every character

4. Required total no of bits

Solution:

Giving String “allamaiiii”

Character	Frequency
a	3
i	4
l	2
m	1

2. Generate Huffman Tree

Solution:

3. Write the code of every character

Solution:

Character	Frequency	Character code	Character Bits
a	3	10	(3*2) =6
i	4	0	(4*1) =4
l	2	111	(2*3) =6
m	1	110	(1*3) =3

4. Required total no of bits

Solution:

Required Total No of Bits = 19

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CS502 Assignment 3 Solution 2022

CS502 Assignment No 3 Solution Fall 2021

CS502 Assignment 3 Solution Fall 2022

CS502 Assignment Solution 2022