Problem $2.$ The two$-$dimensional data and their class labels are listed in the following table.

$\backslash$table$[[$Sample$,x1,x2,$Class label$],[1,3\mathrm{.}56,2\mathrm{.}33,1],[2,4\mathrm{.}12,4\mathrm{.}29,1],[3,2\mathrm{.}85,5\mathrm{.}20,1],[4,5\mathrm{.}19,3\mathrm{.}96,1],[5,4\mathrm{.}32,4\mathrm{.}17,1],[6,1\mathrm{.}14,0\mathrm{.}28,2],[7,0\mathrm{.}73,0\mathrm{.}58,2],[8,1\mathrm{.}07,0\mathrm{.}91,2],[9,6\mathrm{.}16,8\mathrm{.}09,3],[10,6\mathrm{.}12,8\mathrm{.}15,3],[11,6\mathrm{.}18,8\mathrm{.}14,3],[12,6\mathrm{.}19,8\mathrm{.}18,3],[13,6\mathrm{.}08,8\mathrm{.}19,3]]$

Classify the following Points based on $3-$Nearest Neighbor classification.

$($a$)(0\mathrm{.}5,0\mathrm{.}5)$

$($b$)(3\mathrm{.}5,4\mathrm{.}5)$

$($c$)(6,7)$

need help with the problem in the picture. its for my computer vision class but the problem is regarding k nearest nieghbors algorithim. i will thumbs up a helpful solution so PLEASE INCLUDE EXPLANATIONS, thank you!