$(20$ pts$)$ Assume that you will perform K$-$Means Clustering Algorithm for the data consisting of six observations and two features, namely $x_1$ and $x_2.$ Assuming that initial cluster centers are the second and $x_2=3)$ and the fourth and $($:$x_2=1\}$ observations, find two clusters. Use Rectilinear Distance as the distance measure. $($Hint:Rectilinear distance between $(a,b)$ and $(c,d)$ is $|a-c|+|b-d|.)$

$\backslash$table$[[$Obs$.,x_1,x_2$