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Computer Architecture Data Structure

First: Right Truncatable Prime (10 Points)
You have to write a program that will read an array from a file and print if the numbers in the file
are right truncatable primes.
A right truncatable prime is a prime number, where if you truncate any numbers from the right, the
resulting number is still prime. For example, 3797 is a truncatable prime number number because
3797, 379, 37, and 3 are all primes.
Input-Output format: Your program will take the file name as input. The first line in the file
provides the total number of values in the array. The subsequent lines will contain an integer value.
For example a sample input file \file1.txt" is:
3
397
73
47
Your output will be a yes/no for each value in the input file.
$./first file1.txt
no
yes
no
1
We will not give you improperly formatted files. You can assume all your input files will be in
proper format as above.
Second: Linked List (10 points)
In this 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
2
Then the result will be:
$./second file1.txt
0
$./second file2.txt
2
5 12
$./first file3.txt
1 5
$./second file4.txt
error
Third: Hash table (10 points)
In this part, you will implement a hash table containing integers. The hash table has 1000 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 1000 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.
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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 Multiplication (10 Points)
This program will test your ability to manage memory using malloc() and provide some experience

  CS 211: Computer Architecture, Fall 2019
Programming Assignment 1: Introduction to C (100 points)
Instructor: Prof. Santosh Nagarakatte
Due: September 30, 2019 at 5pm.

dealing with 2D arrays in C.
Your task is to create a program that multiplies two matrices and outputs the resulting matrix.
The input matrices can be the same or different sizes.
Input-Output format: Your program will take the file name as input. The first line in the file
will provide the number of rows and columns in the matrix separated by a tab. The subsequent
lines will provide the contents of the matrix. The numbers in the same row are tab separated and
the rows are separated with new lines. This will be followed by the same format for the dimensions
and content of the second matrix.
For example, a sample input file \file1.txt":
2 3
1 2 3
4 5 6
3 2
1 2
3 4
5 6
The first number (2) refers to the number of rows and the second number (3) refers to the number
of columns in the matrix. The dimensions of the of the first matrix will be 2x3 and the second
matrix will be 3x2. The output on executing the program with the above input is shown below.
The outputted numbers should be tab separated in the same row with a newline between rows.
There should not be extra tabs or spaces at the end of the line or at the end of the file.
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$./fourth file1.txt
22 28
49 64
We will not give you improperly formatted files. You can assume all your input files will be in
proper format as above with no matrix having 0 rows or columns.
For matrices that cannot be multiplied your program should output \bad-matrices".
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
5
Sixth: Pig Latin (10 Points)
For this part of the assignment, you will need to write a program that reads an input string
representing a sentence, and convert it into pig latin. We’ll be using two simple rules of pig latin:
1. If the word begins with a consonant then take all the letters up until the first vowel and put
them at the end and then add \ay" at the end.
2. If the word begins with a vowel then simply add \yay" to the end.
For this problem vowels are defined as: a, e, i, o, and u. There will only be characters in your input
(no numbers or punctuation).
Input-Output format: This program takes a string of space-separated words and should output
the same space-separated words translated into pig latin.
Example 1:
$./sixth Hello and welcome to computer architecture
elloHay andyay elcomeway otay omputercay architectureyay
Example 2:
$./sixth a program
ayay ogrampray
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:
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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.
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
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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.
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
8
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:
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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
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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.
Your compilation command with gcc should include the following flags: -Wall -Werror
-fsanitize=address -std=c11
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.
Your folder names in the path should have not have any spaces. Autograder will
not work if any of the folder names have spaces.
Be careful to follow all instructions. If something doesn’t seem right, ask on discussion forum.
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