Consider a dataset with seven points $(x_1,x_2,$dots,$x_7).$ Given below are the distances between all pairs of points

Assume that $k-2,$ and the cluster centers are initialized to $x_3$ and $x_6.$ Which of the following shows the two clusters

formed at the end of the first iteration of $k-$means? Circle the correct option

$($a$)\{x_1,x_2,x_3,x_4\},\{x_5,x_6,x_7\}$

$($b$)\{x_2,x_3,x_5\},\{x_1,x_4,x_6,x_7\}$

$($c$)\{x_1,x_2,x_3,x_5\},\{4,x_6,x_7\}$

$($d$)\{x_2,x_3,x_4,x_7\},\{x_1,x_5,x_6\}$