DSC $430$: Python Programming

Assignment $0801$: Karate Club

This assignment needs the file "karate$\_$club$\_$interactions.txt$"$ on the D$2$L$.$

Load this file into a Python variable through command np$.$loadtxt seen in class. This will result in a binary$-$valued Numpy $2$D array, which shows the interactions among members of a Karate club, such that if the $(i,j)-$th element of the $2$D array is one, the the $i-$th and $j-$th members had an interaction $($e$.$g$.,$ a fight$),$ otherwise they did not. Note that such relationship is symmetric $($the fact that the $i-$th member had an interaction with the $j-$th member readily implies that the $j-$th member also had an interaction with the i$-$th member$).$ Verify this symmetry by means of Numpy tools $($i$.$e$.,$ its transpose is the same as itself$).$

Write a function that takes an interaction matrix, extracts some information from it and prints them out. The function should first verifies symmetry of the input $2D$ array, and then answer the following questions. Note that the analysis should be fully based on Numpy methods and functions; no point will be given if a question is answered by any other means.

How many members did the Karate club have?

Print how many interactions each member of the club had. Interactions of the i$-$th member could be retrieved by means of either the i$-$th row or the i$-$th column of the loaded array. Either way would be fine for the purpose of this assignment.

What are indices of the least and most active members of the club? Did they have any interaction with them?

What is the average and STD of the number of interactions across all the members?

Record a three$-$minute video in which you run the code. Then, present your code. Specifically, answer the following questions:

Explain how you loaded the data and how you used Numpy to verify its symmetry.

Show how you obtained a Numpy $1$D array that contains the number of interactions for each member.

Show how you took the average of the interaction numbers across the members.

Submission: Submit a single $.$py file containing all the code to the D$2$L$.$ Do not zip or archive the file. Your code must include comments at the top including your name, date, video link, and the honor statement, "I have not given or received any unauthorized assistance on this assignment." Each function must include a docstring and be commented appropriately.