Morph$\_1)$ Given $11$x$11$ binary image below, apply morphological connected component extraction. Use $4-$connected neighborhood. Show the result of each iteration for the extraction of each connected component available. You may use $($p$,1,2...)$ notation demonstrated in lecture slides. Choose seed points arbitrarily.

$00000000000$

$11111111111$

$11111000011$

$11111000011$

CComp$\_1)$ Using the same binary image given in $($Morph$\_1),$ apply preliminary labeling algorithm. Use $8-$connected neighborhood. Write the output image in which labels are indicated by $2,3,$dots as demonstrated in lecture slides. Additionally, list collided labels for each connected component.