# Assignment 1 CS329e Infinite Spiral of Numbers solution

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Consider the natural numbers laid out in a square spiral, with 1 occupying the center of the spiral. The
central 11 x 11 subset of that spiral is shown in the table below.
111 112 113 114 115 116 117 118 119 120 121
110 73 74 75 76 77 78 79 80 81 82
109 72 43 44 45 46 47 48 49 50 83
108 71 42 21 22 23 24 25 26 51 84
107 70 41 20 7 8 9 10 27 52 85
106 69 40 19 6 1 2 11 28 53 86
105 68 39 18 5 4 3 12 29 54 87
104 67 38 17 16 15 14 13 30 55 88
103 66 37 36 35 34 33 32 31 56 89
102 65 64 63 62 61 60 59 58 57 90
101 100 99 98 97 96 95 94 93 92 91
Table 1: Spiral of Numbers
This spiral has several interesting features. The southeast diagonal has several prime numbers (3, 13, 31,
57, and 91) along it. The southwest diagonal has a weaker concentration of prime numbers (5, 17, 37) along
it.
To construct the spiral we start with 1 at the center, with 2 to the right, and 3 below it, 4 to the left, and
so on. A part of the problem for this assignment is to figure out the rule to fill the spiral for an arbitrary size.
Once you have that rule you can complete the rest of the assignment.
In this assignment your task is to implement a python program with the name Spiral.py.
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You program should have the following input and output
Input:
You will read your input data from a file called spiral.in. The format of the file will be as follows:
11
1
42
110
91
The first line will be the dimension of the spiral. It will always be odd and greater than 1 and less than
100. This will be followed by an arbitrary number of lines. There will be a single number on each line.
These numbers will be numbers inside the spiral. Some of these numbers will be interior numbers, others
will be numbers on the edge, and yet others will be numbers at the corners of the spirals. Assume that the
input file that we will be testing your program will be valid.
Output:
For each of the numbers inside the spiral, your output will be the sum of all the numbers adjacent to this
number, but not including this number.
For the above input file you will output on the console:
44
382
477
239
We get 44 by adding the numbers adjacent to 1 (2 + 3 + 4 + 5 + 6 + 7 + 8 + 9). Similarly we get 239 by
Mac:
python3 Spiral.py < spiral.in
Windows:
python Spiral.py < spiral.in
We will use our own input file to test your program. You must read the input in the format described
above.
Once you read the first line from the input file you will create a 2-D list with the spiral of numbers. Then
from the 2-D list you will obtain the sum of adjacent numbers for a given number in the spiral and print it.
The number of lines of input will be arbitrary and greater than 1.
2
The file that you will be turning in will be called Spiral.py. You will follow the standard coding conventions in Python. Here is the format of your code:
1 # F i l e : S p i r a l . py
2 # D e s c r i p t i o n :
3 # S t u d e n t Name :
4 # S t u d e n t UT EID :
5 # P a r t n e r Name :
6 # P a r t n e r UT EID :
7 # C o u r se Name : CS 313E
8 # Unique Number :
9 # Date C r e at e d :
10 # Date L a st M o di fi e d :
11
12 # I n p u t : n i s an odd i n t e g e r betwee n 1 and 100
13 # O ut p ut : r e t u r n s a 2−D l i s t r e p r e s e n t i n g a s p i r a l
14 # i f n i s e ve n add one t o n
15 d e f c r e a t e s p i r a l ( n ) :
16
17 # I n p u t : s p i r a l i s a 2−D l i s t and n i s an i n t e g e r
18 # O ut p ut : r e t u r n s an i n t e g e r t h a t i s t h e sum o f t h e
19 # numbe rs a d j a c e n t t o n i n t h e s p i r a l
20 # i f n i s o u t s i d e t h e r a n g e r e t u r n 0
21 d e f s u m a dj a c e nt n u m b e r s ( s p i r a l , n ) :
22
23 d e f main ( ) :
24 # r e a d t h e i n p u t f i l e
25 # c r e a t e t h e s p i r a l
26 # add t h e a d j a c e n t numbe rs
27 # p r i n t t h e r e s u l t
28
29 i f n a m e == ” m a i n ” :
30 main ( )
You may not change the names of the functions listed. They must have the functionality as given in the
specifications. You can always add more functions than those listed.
For this assignment you may work with a partner. Both of you must read the paper on Pair Programming1
and abide by the ground rules as stated in that paper. If you are working with a partner then only one of you
will be submitting the code. But make sure that your partner’s name and UT EID is in the header. If you are
working alone then remove the partner’s name and eid from the header.
1.1 Turnin
Turn in your assignment on time on Gradescope system on Canvas. For the due date of the assignments,
In a programming class like our class, there is sometimes a very fine line between ”cheating” and acceptable
and beneficial interaction between students (In different assignment groups). Thus, it is very important that
you fully understand what is and what is not allowed in terms of collaboration with your classmates. We
want to be 100% precise, so that there can be no confusion.
Kindergarten.PDF
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The rule on collaboration and communication with your classmates is very simple: you cannot transmit
or receive code from or to anyone in the class in any way – visually (by showing someone your code),
electronically (by emailing, posting, or otherwise sending someone your code), verbally (by reading code to
someone) or in any other way we have not yet imagined. Any other collaboration is acceptable.
The rule on collaboration and communication with people who are not your classmates (or your TAs or
instructor) is also very simple: it is not allowed in any way, period. This disallows (for example) posting
any questions of any nature to programming forums such as StackOverflow. As far as going to the web and
using Google, we will apply the ”two line rule”. Go to any web page you like and do any search that you
like. But you cannot take more than two lines of code from an external resource and actually include it in
your assignment in any form. Note that changing variable names or otherwise transforming or obfuscating
code you found on the web does not render the ”two line rule” inapplicable. It is still a violation to obtain
more than two lines of code from an external resource and turn it in, whatever you do to those two lines after
you first obtain them.
Furthermore, you should cite your sources. Add a comment to your code that includes the URL(s) that
you consulted when constructing your solution. This turns out to be very helpful when you’re looking at
something you wrote a while ago and you need to remind yourself what you were thinking.
We will use the following Code plagiarism Detection Software to automatically detect plagiarism.
• Staford MOSS
https://theory.stanford.edu/˜aiken/moss/
• Jplag – Detecting Software Plagiarism
https://github.com/jplag/jplag and https://jplag.ipd.kit.edu/
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