L=1 count 289370 least 4489215
L=2 count 150 least 4996550655
L=3 count 0 least 0
L=4 count 0 least 0
L=5 count 0 least 0
L=6 count 0 least 0
L=7 count 0 least 0
L=8 count 0 least 0
