Assuming that there is three clusters and clusters have the following data points.:

Cluster $1=\{\{1,0\},\{1,1\}\}$

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

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

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 $($ba$)/$max $(a,b),$ where $a$ is the average intra$-$cluster distance and $b$ is the distance between a sample and the nearest cluster.