Assuming that there is three clusters and clusters have the following data points.: $(7)$

Cluster $1=\{\{1,0\},(1\mathrm{.}1\}\}$

Cluster $2=\{\{1,2),(2,3),(2,2)\mathrm{.}11\mathrm{.}211.$

Cluster $3=\{\{3,1\}.\{33\}.\{2,1\}\}$

Find the Silhouette Coefficient of the first data point in Cluster $1.$ What can you comment about the cohesion and separation of this data point as evident from the Silhouette Coefficient? Hint: The Silhouette Coefficient for a sample is $($b$-$ a$)/$max$($a$,$b$),$ where a is the average intra$-$cluster distance and b is the distance between a sample and the nearest cluster.