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# Silhouette Coefficient

Unsolved
###### Unsupervised

Difficulty: 1 | Problem written by Junaid Ahmed
##### Problem reported in interviews at

The silhouette coefficient, also known as the silhouette score, is a metric for determining how effective a clustering technique is. Its value is between -1 and 1.

The equation for the Silhouette Coefficient is:

$$s = \frac{a-b}{max(a,b)}$$

where a is the average distance between each cluster point and b is the average distance between all clusters. It is useful for determining the validity of a cluster.

Given a and b, return the Silhouette Coefficient.

##### Sample Input:
<class 'int'>
a: 4
<class 'int'>
b: 2

##### Expected Output:
<class 'float'>
3.5

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