K-mean clustering algorithm has clustered the given $8$ observations into $3$ clusters after $1$st iteration as follows:
$C1: \: \{(3,3), (5,5), (7,7) \}$
$C2: \: \{(0,6), (6,0), (3,0) \}$
$C3: \: \{(8,8), (4,4)\}$
What will be the Manhattan distance for observation $(4,4)$ from cluster centroid $C1$ in the second iteration?
- $2$
- $\sqrt{2}$
- $0$
- $18$