I see this question https://mathematica.stackexchange.com/questions/304317/how-to-draw-a-number-of-circles-inscribed-in-a-square-so-that-the-sum-of-the-rad

I have a square with length of side is $a$. How to draw a number of circles inscribed in a square so that the sum of the radii of the circle is greatest? In the below picture is twenty circles inscribed in a square. We can consider number of circles are 5, 6, ... We consider number of the circles is fixed.

How can I tell Maple to do that.