Consider the following dataset, apply K-Medoids clustering algorithm to find out two clusters. Afterward, assign cluster names as a Zoologists. Subjects Number of Legs Number of Tails S1 quadrupedal 1 S2 bipedal 1 S3 bipedal 0 S4 quadrupedal 0

This is a mathmetical problem. Show the whole mathmetical procedure of solving k-medoid clustering. Do not use any programming language or any programming library