Computer Architecture Introduction to C (100 points) Solution

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Description

Introduction

This assignment is designed to give you some initial experience with programming in C, as well as compiling, linking, running, and debugging. Your task is to write 9 small C programs. Each of them will test a portion of your knowledge about C programming. They are discussed below. Your program must follow the input-output guidelines listed in each section exactly, with no additional or missing output.

No cheating or copying will be tolerated in this class. Your assignments will be automatically checked with plagiarism detection tools that are pretty powerful. Hence, you should not look at your friend’s code. See CS department’s academic integrity policy at: https://www.cs.rutgers.edu/academicintegrity/introduction

First: Linked List (10 points)

In the first part, you have to implement a linked list that maintains a list of integers in sorted order. Thus, if the list contains 2, 5 and 8, then 1 will be inserted at the start of the list, 3 will be inserted between 2 and 5 and 10 will be inserted at the end.

Input format: This program takes a file name as an argument from the command line. The file is either blank or contains successive lines of input. Each line contains a character, either ‘i’ or

d’, followed by a tab character and then an integer. For each of the lines that starts with ‘i’, your program should insert that number in the linked list in sorted order if it is not already there. Your program should not insert any duplicate values. If the line starts with a ‘d’, your program should delete the value if it is present in the linked list. Your program should silently ignore the line if the requested value is not present in the linked list.

Output format: At the end of the execution, your program should print the number of nodes in the list in the first line of the output and all the values of the linked list in sorted order in the next line. The values should be in a single line separated by tabs. There should be no leading or trailing white spaces in the output. Your program should print “error” (and nothing else) if the file does not exist. Your program should print 0 followed by a blank line if the input file is empty or the resulting linked list has no nodes.

Example Execution:

Lets assume we have 3 text files with the following contents:

file1.txt is empty

file2.txt:

i 10 i 12 d 10 i 5

file3.txt:

d 7

i 10 i 5

i 10 d 10

Then the result will be:

$./first file1.txt

0

$./first file2.txt

2

5 12

$./first file3.txt

1

5

$./first file4.txt error

Second: Arrays and Sorting (10 points)

In the second part, you have to write a program that will read an array from a file and sort the given array. You will return the array sorted in ascending order. You can use any sorting algorithm you know or wish to use. However, you cannot use the library sort functions. You should write your own sort function.

Input-Output format: Your program will take the file name as input.

The first line in the file provides total number of values in the array. The second line will contain a list of numbers separated by tabs:

For example, a sample input file “file1.txt” is:

5

12 54 10 4 8

Your output will be the sorted list of numbers, each separated by tab.

$./second file1.txt

4 8 10 12 54

We will not give you improperly formatted files. You can assume all your input files will be in proper format as above.

Third: Hash table (10 points)

In this part, you will implement a hash table containing integers. The hash table has 10,000 buckets. An important part of a hash table is collision resolution. In this assignment, we want you to use chaining with a linked list to handle a collision. This means that if there is a collision at a particular bucket then you will maintain a linked list of all values stored at that bucket. For more information about chaining, see http://research.cs.vt.edu/AVresearch/hashing/openhash.php.

A hash table can be implemented in many ways in C. You must find a simple way to implement a hash table structure where you have easy access to the buckets through the hash function. As a reminder, a hash table is a structure that has a number of buckets for elements to ”hash” into. You will determine where the element falls in the table using the hash function.

You must not do a linear search of the 10,000 element array. We will not award any credit for O(n)

time implementation of searches or insertions in the common case.

For this problem, you have to use following hash function: key modulo the number of buckets.

Input format: This program takes a file name as argument from the command line. The file contains successive lines of input. Each line contains a character, either ‘i’ or ‘s’, followed by a tab and then an integer. For each line that starts with ‘i’, your program should insert that number in the hash table if it is not present. If the line starts with a ‘s’, your program should search the hash table for that value.

Output format: For each line in the input file, your program should print the status/result of that operation. For an insert, the program should print “inserted” if the value is inserted or “duplicate” if the value is already present. For a search, the program should print ”present” or “absent” based on the outcome of the search. You can assume that the program inputs will have proper structure.

Example Execution:

Lets assume we have a text file with the following contents:

file2.txt:

i 10 i 12 s 10 i 10 s 5

The the results will be:

$./third file2.txt inserted

inserted present duplicate absent

Fourth: Matrix Exponentiation (10 points)

This program will test your ability to manage memory using malloc() and provide some experience dealing with 2D arrays in C.

Your task is to create a program that computes M n where M is a square matrix M (the dimensions of the matrix will be k x k where k is the number of rows) and a number n 0. In summary, you need to multiply the matrix with itself n times.

Input-Output Format

The program will take the file name as input. The first line in the file will provide the number of rows in the matrix. The subsequent lines will provide the contents of the matrix. The numbers are tab separated. The last line in the file after the contents of the matrix will contain the exponent n.

For example, a sample input file “file.txt”:

3

1

2

3

4

5

6

7

8

9

2

The first number (3) refers to the number of rows in the square matrix. The dimensions of the matrix will be 3×3. The exponent is 2. Hence, the program is required to compute M 2.

You can assume that the input will be properly formatted.

The output on executing the program with the above input is shown below. The output numbers should be tab separated. There should not be extra tabs or spaces at the end of the line or the end of the file.

$./fourth file1.txt

30 36 42

66 81 96

102 126 150

Fifth:Matrix Squares(10 points)

A magic square is an arrangement of the numbers from 1 to n2 in an (n x n) matrix, with each number occurring exactly once, and such that the sum of the entries of any row, any column, or any main diagonal is the same.

An example of a Magic Square is as such:

2 7 6

9 5 1

4 3 8

In this case, the sum of all entries in a given row, column or main diagonal is equal to 15.

More examples and information about magic squares can be found here: http://mathforum.org/

alejandre/magic.square/adler/adler.whatsquare.html

Input-Output format:

Your program should accept a file as command line input. The format of a sample file “file1.txt”

is shown below:

3

8 1 6

3 5 7

4 9 2

The first number (3) corresponds to the size of the square matrix (n). The dimensions of the matrix will be n x n. You can assume there will be no malformed input and the matrices will always contain valid integers.

If the given matrix follows the rules for a magic square, your program should output ”magic. If the matrix thats given is valid, but does not follow rules for a Magic Square, your program should output ”not-magic.

Example Execution

A sample execution with above input file “file1.txt” is shown below:

$./fifth file1.txt magic

Sixth: String Operations (10 points)

For this part of the assignment, you will need to write a program that accepts 1 single string as program argument and compresses it by counting each repeating letter that occurs in the string and the number of times it occurs in the string as such:

Example 1:

$./sixth aaaabbbccdaaaa a4b3c2d1a4

Example 2:

$./sixth abcccccccggeeccccd a1b1c7g2e2c4d1

Also, if the compressed string would be longer than the original string, you must output the original string instead.

Example 3:

$./sixth abc abc

Characters need not be unique, and your program should only count consecutive repeating letters in a string. Matching letters delimited by another differing letter must appear as such in the string as well (see example 1). Your input can be (a-z, A-Z, any symbols). All invalid input such as numbers or invalid program arguments must be met with an ”error” output and the program should exit with code 0 (i.e., exit(0)).

Example 4:

$./sixth 111111bb aaaaa error

Seventh: String Operations II (5 points)

The seventh part requires you to read an input string representing a sentence, form a word whose letters are the last letters or punctuation of the words in the given sentence, and print it.

Input and output format: This program takes a string of space-separated words, and should output a single word as the output.

$./seventh Hello World!

o!

$./seventh Welcome to CS211 eo1

$./seventh Rutgers Scarlet Knights sts

Eighth: Binary Search Tree (15 points)

In the eighth part, you have to implement a binary search tree. The tree must satisfy the binary search tree property: the key in each node must be greater than all keys stored in the left sub-tree, and smaller than all keys in right sub-tree. You have to dynamically allocate space for each node and free the space for the nodes at the end of the program.

Input format:

This program takes a file name as an argument from the command line. The file is either blank or contains successive lines of input. Each line starts with a character, either i’ or ’s’, followed by a tab and then an integer. For each line that starts with ’i’, your program should insert that number in the binary search tree if it is not already there. If it is already present, you will print ”duplicate” and not change the tree. If the line starts with a ’s’, your program should search for the value.

Output format:

For each line in the input file, your program should print the status/result of the operation. For an insert operation, the program should print either“inserted” with a single space followed by a number, the height of the inserted node in the tree, or ”duplicate” if the value is already present in the tree. The height of the root node is 1. For a search, the program should either print ‘’present”, followed by the height of the node, or “absent” based on the outcome of the search. Your program should print “error” (and nothing else) if the file does not exist or for input lines with improper structure.

Example Execution:

Lets assume we have a file file1.txt with the following contents:

i 5 i 3 i 4 i 1 i 6 s 1

Executing the program in the following fashion should produce the output shown below:

$./eighth file1.txt inserted 1

inserted 2 inserted 3 inserted 3 inserted 2 present 3

Ninth: Deletion with Binary Search Tree (20 points)

In the ninth part, you will extend the binary search tree in the eighth part to support the deletion of a node. The deletion of a node is slightly trickier compared to the search and insert in the eighth part.

The deletion is straightforward if the node to be deleted has only one child. You make the parent of the node to be deleted point to that child. In this scenario, special attention must be paid only when the node to be deleted is the root.

Deleting a node with two children requires some more work. In this case, you must find the minimum element in the right subtree of the node to be deleted. Then you insert that node in the place where the node to be deleted was. This process needs to be repeated to delete the minimum node that was just moved.

In either case, if the node to be deleted is the root, you must update the pointer to the root to point to the new root node.

Input format: This program takes a file name as argument from the command line. The file is either blank or contains successive lines of input. Each line contains a character, ’i’, ’s’, or ’d’, followed by a tab and an integer. For each line that starts with ’i’, your program should insert that number in the binary search tree if it is not already there. If the line starts with a ’s’, your program should search for that value. If the line starts with a ’d’, your program should delete that value from the tree.

Output format: For each line in the input file, your program should print the status/result of the operation. For insert and search, the output is the same as in the Eighth Part: For an insert operation, the program should print either “inserted” with a single space followed by a number, the height of the inserted node in the tree, or ”duplicate” if the value is already present in the tree. The height of the root node is 1. For a search, the program should either print ”present”, followed by the height of the node, or ”absent” based on the outcome of the search. For a delete, the program should print ”success” or ”fail” based on the whether the value was present or not. Again, as in the Eight Part, your program should print ”error” (and nothing else) if the file does not exist or for input lines with improper structure.

Example Execution:

Lets assume we have a file file1.txt with the following contents:

i 5 i 3 i 4 i 1 i 6 i 2 s 1 d 3 s 2

Executing the program in the following fashion should produce the output shown below:

./ninth file1.txt inserted 1 inserted 2 inserted 3 inserted 3 inserted 2 inserted 4

present 3

success present 4

Structure of your submission folder

All files must be included in the pa1 folder. The pa1 directory in your tar file must contain 9 subdirectories, one each for each of the parts. The name of the directories should be named first through ninth (in lower case). Each directory should contain a c source file, a header file (if you use it) and a Makefile. For example, the subdirectory first will contain, first.c, first.h (if you create one) and Makefile (the names are case sensitive).

pa1

|- first

|– first.c

|– first.h (if used)

|– Makefile

|- second

|– second.c

|– second.h (if used)

|– Makefile

|- third

|– third.c

|– third.h (if used)

|– Makefile

|- fourth

|– fourth.c

|– fourth.h (if used)

|– Makefile

|- fifth

|– fifth.c

|– fifth.h (if used)

|– Makefile

|- sixth

|– sixth.c

|– sixth.h (if used)

|– Makefile

|- seventh

|– seventh.c

|– seventh.h (if used)

|– Makefile

|- eigth

|– eigth.c

|– eigth.h (if used)

|– Makefile

|- ninth

|– ninth.c

|– ninth.h (if used)

|– Makefile

Submission

You have to e-submit the assignment using Sakai. Your submission should be a tar file named pa1.tar. To create this file, put everything that you are submitting into a directory (folder) named pa1. Then, cd into the directory containing pa1 (that is, pa1’s parent directory) and run the following command:

tar cvf pa1.tar pa1

To check that you have correctly created the tar file, you should copy it (pa1.tar) into an empty directory and run the following command:

tar xvf pa1.tar

This should create a directory named pa1 in the (previously) empty directory.

The pa1 directory in your tar file must contain 9 subdirectories, one each for each of the parts. The name of the directories should be named first through ninth (in lower case). Each directory should contain a c source file, a header file and a make file. For example, the subdirectory first will contain, first.c, first.h and Makefile (the names are case sensitive).

AutoGrader

We provide the AutoGrader to test your assignment. AutoGrader is provided as autograder.tar. Executing the following command will create the autograder folder.

$tar xvf autograder.tar

There are two modes available for testing your assignment with the AutoGrader.

First mode

Testing when you are writing code with a pa1 folder

(1) Lets say you have a pa1 folder with the directory structure as described in the assignment. (2) Copy the folder to the directory of the autograder

(3) Run the autograder with the following command

$python auto grader.py

It will run your programs and print your scores.

Second mode

This mode is to test your final submission (i.e, pa1.tar) (1) Copy pa1.tar to the auto grader directory

(2) Run the auto grader with pa1.tar as the argument. The command line is

$python auto grader.py pa1.tar

Scoring

The autograder will print out information about the compilation and the testing process. At the end, if your assignment is completely correct, the score will something similar to what is given below.

You scored

5.0 in second

5.0 in fourth

5.0 in third

5.0 in sixth

10.0 in ninth

2.5 in seventh

7.5 in eighth

5.0 in fifth

5.0 in first

Your TOTAL SCORE = 50.0 /50

Your assignment will be graded for another 50 points with test cases not given to you

Grading Guidelines

This is a large class so that necessarily the most significant part of your grade will be based on programmatic checking of your program. That is, we will build the binary using the Makefile and source code that you submitted, and then test the binary for correct functionality against a set of inputs. Thus:

You should not see or use your friend’s code either partially or fully. We will run state of the art plagiarism detectors. We will report everything caught by the tool to Office of Student Conduct.

You should make sure that we can build your program by just running make.

You should test your code as thoroughly as you can. For example, programs should not crash with memory errors.

Your program should produce the output following the example format shown in previous sections. Any variation in the output format can result in up to 100% penalty. Be especially careful to not add extra whitespace or newlines. That means you will probably not get any credit if you forgot to comment out some debugging message.

Be careful to follow all instructions. If something doesn’t seem right, ask on discussion forum.