$($a$)$ Given the data in the table below, apply a hierarchical agglomerative clustering algorithm with single linkage and Euclidean distance and draw the resulting dendrogram. Show all your workings.

$\backslash$table$[[,$Number of Hours spend per week on$,],[$Individual$\text{'}$s Name,Reading,Exercise$],[$Tom$,5,2],[$Jack$,1,4],[$Rose$,4,5],[$Drew$,5,3],[$Mary$,2,3]]$

$($b$)$ Implement the agglomerative clustering algorithm for the above two$-$dimensional feature space on Python to construct the dendrogram.