Consider the following Iris dataset with just two features $($petal length and petal breadth$)$ and the three classes $($Setosa$,$ Versicolor and Virginica$).$

$\backslash$table$[[$#$,\backslash$table$[[$Petal$],[$Length$]],\backslash$table$[[$Petal$],[$Breadth$]],$Class$],[1,5\mathrm{.}6,2\mathrm{.}5,$Iris$-$Virginica$],[2,5\mathrm{.}1,2\mathrm{.}3,$Iris$-$Virginica$],[3,1\mathrm{.}3,0\mathrm{.}2,$Iris$-$Setosa$],[4,4\mathrm{.}5,1\mathrm{.}5,$Iris$-$Versicolor$],[5,1\mathrm{.}6,0\mathrm{.}5,$Iris$-$Setosa$],[6,5\mathrm{.}1,2\mathrm{.}4,$Iris$-$Virginica$],[7,5\mathrm{.}8,2\mathrm{.}6,$Iris$-$Virginica$],[8,1\mathrm{.}4,0\mathrm{.}3,$Iris$-$Setcsa$],[9,1\mathrm{.}5,0\mathrm{.}3,$Iris$-$Setosa$],[10,4\mathrm{.}4,1\mathrm{.}3,$Iris$-$Versicolor$]]$

Part $1-$ Build clusters of the $10-$records Iris dataset with the Petal Length and Petal Breadth features using each of the following algorithms:

$($a$)$ K $-$Means with $K=3$ clusters

$($b$)$ DBSCAN.

Part $2-$ Show a mapping of the clusters and outliers, if any, identified with each of $($a$)$ K$-$Means and $($b$)$ DBSCAN with the three classes listed in the given dataset.