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 $2$D 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?

Text file data format:

$0\mathrm{.}000000000000000000$e$+001\mathrm{.}000000000000000000$e$+001\mathrm{.}000000000000000000$e$+000\mathrm{.}000000000000000000$e$+000\mathrm{.}000000000000000000$e$+000\mathrm{.}000000000000000000$e$+001\mathrm{.}000000000000000000$e$+001\mathrm{.}000000000000000000$e$+001\mathrm{.}000000000000000000$e$+000\mathrm{.}000000000000000000$e$+00$

$1\mathrm{.}000000000000000000$e$+000\mathrm{.}000000000000000000$e$+001\mathrm{.}000000000000000000$e$+000\mathrm{.}000000000000000000$e$+000\mathrm{.}000000000000000000$e$+000\mathrm{.}000000000000000000$e$+001\mathrm{.}000000000000000000$e$+000\mathrm{.}000000000000000000$e$+000\mathrm{.}000000000000000000$e$+000\mathrm{.}000000000000000000$e$+00$