Extend the GUI with an additional function to be applied to Task $1$ needle dropping:

$1.$ It should allow the user to select a needle by clicking on or near it with the mouse. The needle will then be highlighted in a different colour.

$2.$ The n needles with most similar orientation will then be highlighted in yet another colour. The default value is n $=3,$ and the value of n can be modified through the GUI.

this is the gui function:

function BuffonsNeedlesButtonPushed$($app$,$ event$)$

app.UIAxes.Visible $=\text{'}$on$\text{'}$;

title$($app$.$UIAxes, 'Buffon'$\text{'}$s Needles'$)$

$\%$ resultData $=$ BuffonSquaresRootTwo $(100,40,100)$;

$\%$ Plot the result on the UIAxes

width $=$ app.width;

length $=$app$*$ Length;

throws $=ap.$ Throws;

floorboards $=$ app.Floorboards;

line $=$: width:$($floorboards$*$ width$)$; Adjust range as needed

plot$($app$.$UIAxes,$[$line$(,$ line$(],[0-(($sqrt$(2)$ width $+(($sqrt$(2)*$length$)/2)],\text{'}$k$-\text{'},$ 'LineWidth', $0\mathrm{.}5$

This is code for task $1$: