Please cluster the $6$ points by $K-$means algorithm. Assume $k=2,$ and use points A and $B$ as the initial seeds. $($Manhattan Distance is selected as the distance measure$).$ Answer the following questions. $($In a plane with $p_1$ at $(x_1,y_1)$ and $p_2$ at $(x_2,y_2),$ the Manhattan distance between $p_1$ and $p_2$ is $|x_1-x_2|+|y_1-y_2|.)$

$A(2,4),B(1,4),C(3,7),D(5,6),E(5,7),F(1,1)$

$($a$)(5\%)$ The centroids of the two clusters after the first iteration.

$($b$)(8\%)$ The final cluster result. $($show the final result step by step$)$

$($c$)(6\%)$ The distances between two clusters by using complete link.