input box width, box length, and plate radius:
box width=10.000000, box length=10.000000, and plate radius=0.500000:
dense packing = 105
grid packing = 100
(0,0) has 35 on top.
(0,1) has 45 on top.
(0,2) has 53 on top.
(0,3) has 59 on top.
(0,4) has 63 on top.
(0,5) has 63 on top.
(0,6) has 59 on top.
(0,7) has 53 on top.
(0,8) has 45 on top.
(0,9) has 35 on top.
