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Old 2020-10-23, 13:11   #45
MG Gaillard
 
Oct 2020

1 Posts
Default

Hello there ,

I got interested in Mondrian Art Puzzles lately and developed an exhaustive search solver.

Here are some additional optimal tilings for n=58..65 (reused Robert's format):

Code:
a(58)=15
 rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrmmmmmmmmmmmmm
rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrmmmmmmmmmmmmm
rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrmmmmmmmmmmmmm
rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrmmmmmmmmmmmmm
nnnnnnnnnnnnnnnnnnnnnnnnnnfffffffffffffffffffmmmmmmmmmmmmm
nnnnnnnnnnnnnnnnnnnnnnnnnnfffffffffffffffffffmmmmmmmmmmmmm
nnnnnnnnnnnnnnnnnnnnnnnnnnfffffffffffffffffffmmmmmmmmmmmmm
nnnnnnnnnnnnnnnnnnnnnnnnnnfffffffffffffffffffmmmmmmmmmmmmm
nnnnnnnnnnnnnnnnnnnnnnnnnnfffffffffffffffffffmmmmmmmmmmmmm
nnnnnnnnnnnnnnnnnnnnnnnnnnfffffffffffffffffffmmmmmmmmmmmmm
nnnnnnnnnnnnnnnnnnnnnnnnnnfffffffffffffffffffmmmmmmmmmmmmm
qqqqqqppppppppppppppppppppfffffffffffffffffffmmmmmmmmmmmmm
qqqqqqppppppppppppppppppppfffffffffffffffffffmmmmmmmmmmmmm
qqqqqqppppppppppppppppppppfffffffffffffffffffmmmmmmmmmmmmm
qqqqqqppppppppppppppppppppeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
qqqqqqppppppppppppppppppppeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
qqqqqqppppppppppppppppppppeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
qqqqqqppppppppppppppppppppeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
qqqqqqppppppppppppppppppppeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
qqqqqqppppppppppppppppppppeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
qqqqqqaaaaaaaaaaaaabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
qqqqqqaaaaaaaaaaaaabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
qqqqqqaaaaaaaaaaaaabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
qqqqqqaaaaaaaaaaaaabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
qqqqqqaaaaaaaaaaaaabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
qqqqqqaaaaaaaaaaaaaoooooooooooooooooocccccccccccchhhhhhhhh
qqqqqqaaaaaaaaaaaaaoooooooooooooooooocccccccccccchhhhhhhhh
qqqqqqaaaaaaaaaaaaaoooooooooooooooooocccccccccccchhhhhhhhh
qqqqqqaaaaaaaaaaaaaoooooooooooooooooocccccccccccchhhhhhhhh
qqqqqqaaaaaaaaaaaaaoooooooooooooooooocccccccccccchhhhhhhhh
qqqqqqaaaaaaaaaaaaaoooooooooooooooooocccccccccccchhhhhhhhh
qqqqqqaaaaaaaaaaaaaoooooooooooooooooocccccccccccchhhhhhhhh
qqqqqqaaaaaaaaaaaaaoooooooooooooooooocccccccccccchhhhhhhhh
qqqqqqaaaaaaaaaaaaaoooooooooooooooooocccccccccccchhhhhhhhh
qqqqqqaaaaaaaaaaaaaoooooooooooooooooocccccccccccchhhhhhhhh
qqqqqqkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkcccccccccccchhhhhhhhh
qqqqqqkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkcccccccccccchhhhhhhhh
qqqqqqkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkcccccccccccchhhhhhhhh
qqqqqqkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkcccccccccccchhhhhhhhh
qqqqqqkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkcccccccccccchhhhhhhhh
qqqqqqkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkcccccccccccchhhhhhhhh
jjjjjjjjjjjgggggggggggggggggggggggggggggggggggggghhhhhhhhh
jjjjjjjjjjjgggggggggggggggggggggggggggggggggggggghhhhhhhhh
jjjjjjjjjjjgggggggggggggggggggggggggggggggggggggghhhhhhhhh
jjjjjjjjjjjgggggggggggggggggggggggggggggggggggggghhhhhhhhh
jjjjjjjjjjjgggggggggggggggggggggggggggggggggggggghhhhhhhhh
jjjjjjjjjjjddddddddddddddddddddddddlllllllllllllllllllllll
jjjjjjjjjjjddddddddddddddddddddddddlllllllllllllllllllllll
jjjjjjjjjjjddddddddddddddddddddddddlllllllllllllllllllllll
jjjjjjjjjjjddddddddddddddddddddddddlllllllllllllllllllllll
jjjjjjjjjjjddddddddddddddddddddddddlllllllllllllllllllllll
jjjjjjjjjjjddddddddddddddddddddddddlllllllllllllllllllllll
jjjjjjjjjjjddddddddddddddddddddddddlllllllllllllllllllllll
jjjjjjjjjjjddddddddddddddddddddddddlllllllllllllllllllllll
jjjjjjjjjjjiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
jjjjjjjjjjjiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
jjjjjjjjjjjiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
jjjjjjjjjjjiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

a(59)=14
ddddddddddddddddddddddddddddddkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
ddddddddddddddddddddddddddddddkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
ddddddddddddddddddddddddddddddkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
ddddddddddddddddddddddddddddddkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
ddddddddddddddddddddddddddddddkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
ddddddddddddddddddddddddddddddkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
ppppaaaaaaaaaaaaaaaaaaaaaaaaaarrrrrrrrrrrrrrrrrrrrrrrrccccc
ppppaaaaaaaaaaaaaaaaaaaaaaaaaarrrrrrrrrrrrrrrrrrrrrrrrccccc
ppppaaaaaaaaaaaaaaaaaaaaaaaaaarrrrrrrrrrrrrrrrrrrrrrrrccccc
ppppaaaaaaaaaaaaaaaaaaaaaaaaaarrrrrrrrrrrrrrrrrrrrrrrrccccc
ppppaaaaaaaaaaaaaaaaaaaaaaaaaarrrrrrrrrrrrrrrrrrrrrrrrccccc
ppppaaaaaaaaaaaaaaaaaaaaaaaaaarrrrrrrrrrrrrrrrrrrrrrrrccccc
ppppaaaaaaaaaaaaaaaaaaaaaaaaaarrrrrrrrrrrrrrrrrrrrrrrrccccc
ppppiiiiinnnnnnnnnnnnnnnnnqqqqqqggggggggggggggggggggggccccc
ppppiiiiinnnnnnnnnnnnnnnnnqqqqqqggggggggggggggggggggggccccc
ppppiiiiinnnnnnnnnnnnnnnnnqqqqqqggggggggggggggggggggggccccc
ppppiiiiinnnnnnnnnnnnnnnnnqqqqqqggggggggggggggggggggggccccc
ppppiiiiinnnnnnnnnnnnnnnnnqqqqqqggggggggggggggggggggggccccc
ppppiiiiinnnnnnnnnnnnnnnnnqqqqqqggggggggggggggggggggggccccc
ppppiiiiinnnnnnnnnnnnnnnnnqqqqqqggggggggggggggggggggggccccc
ppppiiiiinnnnnnnnnnnnnnnnnqqqqqqggggggggggggggggggggggccccc
ppppiiiiinnnnnnnnnnnnnnnnnqqqqqqeeeeeeeeemmmmmssssssssccccc
ppppiiiiinnnnnnnnnnnnnnnnnqqqqqqeeeeeeeeemmmmmssssssssccccc
ppppiiiiijjjjjjjffffffffffqqqqqqeeeeeeeeemmmmmssssssssccccc
ppppiiiiijjjjjjjffffffffffqqqqqqeeeeeeeeemmmmmssssssssccccc
ppppiiiiijjjjjjjffffffffffqqqqqqeeeeeeeeemmmmmssssssssccccc
ppppiiiiijjjjjjjffffffffffqqqqqqeeeeeeeeemmmmmssssssssccccc
ppppiiiiijjjjjjjffffffffffqqqqqqeeeeeeeeemmmmmssssssssccccc
ppppiiiiijjjjjjjffffffffffqqqqqqeeeeeeeeemmmmmssssssssccccc
ppppiiiiijjjjjjjffffffffffqqqqqqeeeeeeeeemmmmmssssssssccccc
ppppiiiiijjjjjjjffffffffffqqqqqqeeeeeeeeemmmmmssssssssccccc
ppppiiiiijjjjjjjffffffffffqqqqqqeeeeeeeeemmmmmssssssssccccc
ppppiiiiijjjjjjjffffffffffqqqqqqeeeeeeeeemmmmmssssssssccccc
ppppiiiiijjjjjjjffffffffffqqqqqqeeeeeeeeemmmmmssssssssccccc
ppppiiiiijjjjjjjffffffffffqqqqqqeeeeeeeeemmmmmssssssssccccc
ppppiiiiijjjjjjjffffffffffqqqqqqeeeeeeeeemmmmmssssssssccccc
ppppiiiiijjjjjjjffffffffffqqqqqqeeeeeeeeemmmmmssssssssccccc
ppppiiiiijjjjjjjffffffffffqqqqqqeeeeeeeeemmmmmssssssssccccc
ppppiiiiijjjjjjjffffffffffqqqqqqeeeeeeeeemmmmmssssssssccccc
ppppiiiiijjjjjjjffffffffffqqqqqqeeeeeeeeemmmmmssssssssccccc
ppppiiiiijjjjjjjffffffffffqqqqqqeeeeeeeeemmmmmssssssssccccc
ppppiiiiijjjjjjjbbbbbbbbbbbbbttttttttttttmmmmmssssssssccccc
ppppiiiiijjjjjjjbbbbbbbbbbbbbttttttttttttmmmmmooooooooooooo
ppppiiiiijjjjjjjbbbbbbbbbbbbbttttttttttttmmmmmooooooooooooo
ppppiiiiijjjjjjjbbbbbbbbbbbbbttttttttttttmmmmmooooooooooooo
ppppiiiiijjjjjjjbbbbbbbbbbbbbttttttttttttmmmmmooooooooooooo
ppppiiiiijjjjjjjbbbbbbbbbbbbbttttttttttttmmmmmooooooooooooo
ppppiiiiijjjjjjjbbbbbbbbbbbbbttttttttttttmmmmmooooooooooooo
hhhhhhhhhhhhhhhhbbbbbbbbbbbbbttttttttttttmmmmmooooooooooooo
hhhhhhhhhhhhhhhhbbbbbbbbbbbbbttttttttttttmmmmmooooooooooooo
hhhhhhhhhhhhhhhhbbbbbbbbbbbbbttttttttttttmmmmmooooooooooooo
hhhhhhhhhhhhhhhhbbbbbbbbbbbbbttttttttttttmmmmmooooooooooooo
hhhhhhhhhhhhhhhhbbbbbbbbbbbbbttttttttttttmmmmmooooooooooooo
hhhhhhhhhhhhhhhhbbbbbbbbbbbbbttttttttttttmmmmmooooooooooooo
hhhhhhhhhhhhhhhhbbbbbbbbbbbbbttttttttttttmmmmmooooooooooooo
hhhhhhhhhhhhhhhhlllllllllllllllllllllllllllllllllllllllllll
hhhhhhhhhhhhhhhhlllllllllllllllllllllllllllllllllllllllllll
hhhhhhhhhhhhhhhhlllllllllllllllllllllllllllllllllllllllllll
hhhhhhhhhhhhhhhhlllllllllllllllllllllllllllllllllllllllllll

a(60)=15
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeee
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeee
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeee
ssssssssssssssssssssssssssssssssssssssssssssssssssssskkkkeee
ssssssssssssssssssssssssssssssssssssssssssssssssssssskkkkeee
ssssssssssssssssssssssssssssssssssssssssssssssssssssskkkkeee
ggggggoooooooooooooooooooooooooooooooooooooooohhhhhhhkkkkeee
ggggggoooooooooooooooooooooooooooooooooooooooohhhhhhhkkkkeee
ggggggoooooooooooooooooooooooooooooooooooooooohhhhhhhkkkkeee
ggggggoooooooooooooooooooooooooooooooooooooooohhhhhhhkkkkeee
ggggggppppppppppppppppppppppppppppppppqqqqqqqqhhhhhhhkkkkeee
ggggggppppppppppppppppppppppppppppppppqqqqqqqqhhhhhhhkkkkeee
ggggggppppppppppppppppppppppppppppppppqqqqqqqqhhhhhhhkkkkeee
ggggggppppppppppppppppppppppppppppppppqqqqqqqqhhhhhhhkkkkeee
ggggggppppppppppppppppppppppppppppppppqqqqqqqqhhhhhhhkkkkeee
ggggggccccclllllllllllllllllllllllllllqqqqqqqqhhhhhhhkkkkeee
ggggggccccclllllllllllllllllllllllllllqqqqqqqqhhhhhhhkkkkeee
ggggggccccclllllllllllllllllllllllllllqqqqqqqqhhhhhhhkkkkeee
ggggggccccclllllllllllllllllllllllllllqqqqqqqqhhhhhhhkkkkeee
ggggggccccclllllllllllllllllllllllllllqqqqqqqqhhhhhhhkkkkeee
ggggggccccclllllllllllllllllllllllllllqqqqqqqqhhhhhhhkkkkeee
ggggggcccccbbbbbbbbbmmmmmmmmmmmmmmmmmmqqqqqqqqhhhhhhhkkkkeee
ggggggcccccbbbbbbbbbmmmmmmmmmmmmmmmmmmqqqqqqqqhhhhhhhkkkkeee
ggggggcccccbbbbbbbbbmmmmmmmmmmmmmmmmmmqqqqqqqqhhhhhhhkkkkeee
ggggggcccccbbbbbbbbbmmmmmmmmmmmmmmmmmmqqqqqqqqhhhhhhhkkkkeee
ggggggcccccbbbbbbbbbmmmmmmmmmmmmmmmmmmqqqqqqqqhhhhhhhkkkkeee
ggggggcccccbbbbbbbbbmmmmmmmmmmmmmmmmmmqqqqqqqqhhhhhhhkkkkeee
ggggggcccccbbbbbbbbbmmmmmmmmmmmmmmmmmmqqqqqqqqhhhhhhhkkkkeee
ggggggcccccbbbbbbbbbmmmmmmmmmmmmmmmmmmqqqqqqqqhhhhhhhkkkkeee
ggggggcccccbbbbbbbbbmmmmmmmmmmmmmmmmmmqqqqqqqqhhhhhhhkkkkeee
ggggggcccccbbbbbbbbbrrrrrrrrrrrrrrrrdddddddddddddddddkkkkeee
ggggggcccccbbbbbbbbbrrrrrrrrrrrrrrrrdddddddddddddddddkkkkeee
ggggggcccccbbbbbbbbbrrrrrrrrrrrrrrrrdddddddddddddddddkkkkeee
ggggggcccccbbbbbbbbbrrrrrrrrrrrrrrrrdddddddddddddddddkkkkeee
uuuuuucccccbbbbbbbbbrrrrrrrrrrrrrrrrdddddddddddddddddkkkkeee
uuuuuucccccbbbbbbbbbrrrrrrrrrrrrrrrrdddddddddddddddddkkkkeee
uuuuuucccccbbbbbbbbbrrrrrrrrrrrrrrrrdddddddddddddddddkkkkeee
uuuuuucccccbbbbbbbbbrrrrrrrrrrrrrrrrdddddddddddddddddkkkkeee
uuuuuucccccbbbbbbbbbrrrrrrrrrrrrrrrrdddddddddddddddddkkkkeee
uuuuuucccccbbbbbbbbbrrrrrrrrrrrrrrrrdddddddddddddddddkkkkeee
uuuuuucccccffffffffffffffffffffffffffffffffffffffffffkkkkeee
uuuuuucccccffffffffffffffffffffffffffffffffffffffffffkkkkeee
uuuuuucccccffffffffffffffffffffffffffffffffffffffffffkkkkeee
uuuuuucccccffffffffffffffffffffffffffffffffffffffffffkkkkeee
uuuuuuccccciiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiivvvvvvvvvvvvveee
uuuuuuccccciiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiivvvvvvvvvvvvveee
uuuuuuccccciiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiivvvvvvvvvvvvveee
uuuuuuccccciiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiivvvvvvvvvvvvveee
uuuuuuccccciiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiivvvvvvvvvvvvveee
uuuuuujjjjjjjjjjjjjjjnnnnnnnnnnnnnnnnnnnnnnnvvvvvvvvvvvvveee
uuuuuujjjjjjjjjjjjjjjnnnnnnnnnnnnnnnnnnnnnnnvvvvvvvvvvvvveee
uuuuuujjjjjjjjjjjjjjjnnnnnnnnnnnnnnnnnnnnnnnvvvvvvvvvvvvveee
uuuuuujjjjjjjjjjjjjjjnnnnnnnnnnnnnnnnnnnnnnnvvvvvvvvvvvvveee
uuuuuujjjjjjjjjjjjjjjnnnnnnnnnnnnnnnnnnnnnnnvvvvvvvvvvvvveee
uuuuuujjjjjjjjjjjjjjjnnnnnnnnnnnnnnnnnnnnnnnvvvvvvvvvvvvveee
uuuuuujjjjjjjjjjjjjjjnnnnnnnnnnnnnnnnnnnnnnnvvvvvvvvvvvvveee
uuuuuujjjjjjjjjjjjjjjttttttttttttttttttttttttttttttttttttttt
uuuuuujjjjjjjjjjjjjjjttttttttttttttttttttttttttttttttttttttt
uuuuuujjjjjjjjjjjjjjjttttttttttttttttttttttttttttttttttttttt
uuuuuujjjjjjjjjjjjjjjttttttttttttttttttttttttttttttttttttttt

a(61)=15
mmmmggggggggggggggggggggggggggggggggggggggggggggggggggccccccc
mmmmggggggggggggggggggggggggggggggggggggggggggggggggggccccccc
mmmmggggggggggggggggggggggggggggggggggggggggggggggggggccccccc
mmmmggggggggggggggggggggggggggggggggggggggggggggggggggccccccc
mmmmggggggggggggggggggggggggggggggggggggggggggggggggggccccccc
mmmmbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbiiiiiiiiccccccc
mmmmbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbiiiiiiiiccccccc
mmmmbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbiiiiiiiiccccccc
mmmmbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbiiiiiiiiccccccc
mmmmbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbiiiiiiiiccccccc
mmmmbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbiiiiiiiiccccccc
mmmmllllllloooooooooooooooooffffffffffffffffffiiiiiiiiccccccc
mmmmllllllloooooooooooooooooffffffffffffffffffiiiiiiiiccccccc
mmmmllllllloooooooooooooooooffffffffffffffffffiiiiiiiiccccccc
mmmmllllllloooooooooooooooooffffffffffffffffffiiiiiiiiccccccc
mmmmllllllloooooooooooooooooffffffffffffffffffiiiiiiiiccccccc
mmmmllllllloooooooooooooooooffffffffffffffffffiiiiiiiiccccccc
mmmmllllllloooooooooooooooooffffffffffffffffffiiiiiiiiccccccc
mmmmllllllloooooooooooooooooffffffffffffffffffiiiiiiiiccccccc
mmmmllllllloooooooooooooooooffffffffffffffffffiiiiiiiiccccccc
mmmmllllllloooooooooooooooooffffffffffffffffffiiiiiiiiccccccc
mmmmllllllloooooooooooooooooffffffffffffffffffiiiiiiiiccccccc
mmmmllllllloooooooooooooooooffffffffffffffffffiiiiiiiiccccccc
mmmmllllllloooooooooooooooooffffffffffffffffffiiiiiiiiccccccc
mmmmllllllloooooooooooooooooffffffffffffffffffiiiiiiiiccccccc
mmmmllllllleeeeeeeeeeeeaaaaaaaaaaaaaaaaaaaaaaaiiiiiiiiccccccc
mmmmllllllleeeeeeeeeeeeaaaaaaaaaaaaaaaaaaaaaaaiiiiiiiiccccccc
mmmmllllllleeeeeeeeeeeeaaaaaaaaaaaaaaaaaaaaaaaiiiiiiiiccccccc
mmmmllllllleeeeeeeeeeeeaaaaaaaaaaaaaaaaaaaaaaaiiiiiiiiccccccc
mmmmllllllleeeeeeeeeeeeaaaaaaaaaaaaaaaaaaaaaaaiiiiiiiiccccccc
mmmmllllllleeeeeeeeeeeeaaaaaaaaaaaaaaaaaaaaaaaiiiiiiiiccccccc
mmmmllllllleeeeeeeeeeeeaaaaaaaaaaaaaaaaaaaaaaaiiiiiiiiccccccc
mmmmllllllleeeeeeeeeeeeaaaaaaaaaaaaaaaaaaaaaaaiiiiiiiiccccccc
mmmmllllllleeeeeeeeeeeeaaaaaaaaaaaaaaaaaaaaaaaiiiiiiiiccccccc
mmmmllllllleeeeeeeeeeeeaaaaaaaaaaaaaaaaaaaaaaaiiiiiiiiccccccc
mmmmllllllleeeeeeeeeeeeaaaaaaaaaaaaaaaaaaaaaaaiiiiiiiiccccccc
mmmmllllllleeeeeeeeeeeehhhhhhhhhhhhhhhhhhhhhhhhhjjjjjjjjjjjjj
mmmmllllllleeeeeeeeeeeehhhhhhhhhhhhhhhhhhhhhhhhhjjjjjjjjjjjjj
mmmmllllllleeeeeeeeeeeehhhhhhhhhhhhhhhhhhhhhhhhhjjjjjjjjjjjjj
mmmmllllllleeeeeeeeeeeehhhhhhhhhhhhhhhhhhhhhhhhhjjjjjjjjjjjjj
mmmmllllllleeeeeeeeeeeehhhhhhhhhhhhhhhhhhhhhhhhhjjjjjjjjjjjjj
mmmmllllllleeeeeeeeeeeehhhhhhhhhhhhhhhhhhhhhhhhhjjjjjjjjjjjjj
mmmmllllllleeeeeeeeeeeehhhhhhhhhhhhhhhhhhhhhhhhhjjjjjjjjjjjjj
mmmmllllllleeeeeeeeeeeehhhhhhhhhhhhhhhhhhhhhhhhhjjjjjjjjjjjjj
mmmmllllllleeeeeeeeeeeehhhhhhhhhhhhhhhhhhhhhhhhhjjjjjjjjjjjjj
mmmmllllllleeeeeeeeeeeehhhhhhhhhhhhhhhhhhhhhhhhhjjjjjjjjjjjjj
mmmmnnnnnnnnnnnnnnnnddddddddddddddddddddddddddddjjjjjjjjjjjjj
mmmmnnnnnnnnnnnnnnnnddddddddddddddddddddddddddddjjjjjjjjjjjjj
mmmmnnnnnnnnnnnnnnnnddddddddddddddddddddddddddddjjjjjjjjjjjjj
mmmmnnnnnnnnnnnnnnnnddddddddddddddddddddddddddddjjjjjjjjjjjjj
mmmmnnnnnnnnnnnnnnnnddddddddddddddddddddddddddddjjjjjjjjjjjjj
mmmmnnnnnnnnnnnnnnnnddddddddddddddddddddddddddddjjjjjjjjjjjjj
mmmmnnnnnnnnnnnnnnnnddddddddddddddddddddddddddddjjjjjjjjjjjjj
mmmmnnnnnnnnnnnnnnnnddddddddddddddddddddddddddddjjjjjjjjjjjjj
mmmmnnnnnnnnnnnnnnnnddddddddddddddddddddddddddddjjjjjjjjjjjjj
mmmmnnnnnnnnnnnnnnnnkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
mmmmnnnnnnnnnnnnnnnnkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
mmmmnnnnnnnnnnnnnnnnkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
mmmmnnnnnnnnnnnnnnnnkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
mmmmnnnnnnnnnnnnnnnnkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
mmmmnnnnnnnnnnnnnnnnkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

a(62)=14
bbbbeeeeeeeeeeeeeeeeeeeeeeeppppppppppppppppppppppaaaaaaaaaaaaa
bbbbeeeeeeeeeeeeeeeeeeeeeeeppppppppppppppppppppppaaaaaaaaaaaaa
bbbbeeeeeeeeeeeeeeeeeeeeeeeppppppppppppppppppppppaaaaaaaaaaaaa
bbbbeeeeeeeeeeeeeeeeeeeeeeeppppppppppppppppppppppaaaaaaaaaaaaa
bbbbeeeeeeeeeeeeeeeeeeeeeeeppppppppppppppppppppppaaaaaaaaaaaaa
bbbbeeeeeeeeeeeeeeeeeeeeeeeppppppppppppppppppppppaaaaaaaaaaaaa
bbbbeeeeeeeeeeeeeeeeeeeeeeeppppppppppppppppppppppaaaaaaaaaaaaa
bbbbeeeeeeeeeeeeeeeeeeeeeeeppppppppppppppppppppppaaaaaaaaaaaaa
bbbbeeeeeeeeeeeeeeeeeeeeeeeppppppppppppppppppppppaaaaaaaaaaaaa
bbbbeeeeeeeeeeeeeeeeeeeeeeeppppppppppppppppppppppaaaaaaaaaaaaa
bbbbllllllllllllllllcccccccccccccccccccccccccccccaaaaaaaaaaaaa
bbbbllllllllllllllllcccccccccccccccccccccccccccccaaaaaaaaaaaaa
bbbbllllllllllllllllcccccccccccccccccccccccccccccaaaaaaaaaaaaa
bbbbllllllllllllllllcccccccccccccccccccccccccccccaaaaaaaaaaaaa
bbbbllllllllllllllllcccccccccccccccccccccccccccccaaaaaaaaaaaaa
bbbbllllllllllllllllcccccccccccccccccccccccccccccaaaaaaaaaaaaa
bbbbllllllllllllllllcccccccccccccccccccccccccccccaaaaaaaaaaaaa
bbbbllllllllllllllllcccccccccccccccccccccccccccccaaaaaaaaaaaaa
bbbbllllllllllllllllmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmooooo
bbbbllllllllllllllllmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmooooo
bbbbllllllllllllllllmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmooooo
bbbbllllllllllllllllmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmooooo
bbbbllllllllllllllllmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmooooo
bbbbllllllllllllllllmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmooooo
bbbbhhhhhhhhhhhhdddddddddddddddddddddqqqqqqqqqqqqqqqqqqqqooooo
bbbbhhhhhhhhhhhhdddddddddddddddddddddqqqqqqqqqqqqqqqqqqqqooooo
bbbbhhhhhhhhhhhhdddddddddddddddddddddqqqqqqqqqqqqqqqqqqqqooooo
bbbbhhhhhhhhhhhhdddddddddddddddddddddqqqqqqqqqqqqqqqqqqqqooooo
bbbbhhhhhhhhhhhhdddddddddddddddddddddqqqqqqqqqqqqqqqqqqqqooooo
bbbbhhhhhhhhhhhhdddddddddddddddddddddqqqqqqqqqqqqqqqqqqqqooooo
bbbbhhhhhhhhhhhhdddddddddddddddddddddqqqqqqqqqqqqqqqqqqqqooooo
bbbbhhhhhhhhhhhhdddddddddddddddddddddqqqqqqqqqqqqqqqqqqqqooooo
bbbbhhhhhhhhhhhhdddddddddddddddddddddqqqqqqqqqqqqqqqqqqqqooooo
bbbbhhhhhhhhhhhhdddddddddddddddddddddqqqqqqqqqqqqqqqqqqqqooooo
bbbbhhhhhhhhhhhhdddddddddddddddddddddqqqqqqqqqqqqqqqqqqqqooooo
bbbbhhhhhhhhhhhhkkkkkkkkkkkkkkkkkkkkkkkkkkkknnnnnnnnnnnnnooooo
bbbbhhhhhhhhhhhhkkkkkkkkkkkkkkkkkkkkkkkkkkkknnnnnnnnnnnnnooooo
bbbbhhhhhhhhhhhhkkkkkkkkkkkkkkkkkkkkkkkkkkkknnnnnnnnnnnnnooooo
bbbbhhhhhhhhhhhhkkkkkkkkkkkkkkkkkkkkkkkkkkkknnnnnnnnnnnnnooooo
bbbbhhhhhhhhhhhhkkkkkkkkkkkkkkkkkkkkkkkkkkkknnnnnnnnnnnnnooooo
bbbbhhhhhhhhhhhhkkkkkkkkkkkkkkkkkkkkkkkkkkkknnnnnnnnnnnnnooooo
bbbbhhhhhhhhhhhhkkkkkkkkkkkkkkkkkkkkkkkkkkkknnnnnnnnnnnnnooooo
bbbbhhhhhhhhhhhhkkkkkkkkkkkkkkkkkkkkkkkkkkkknnnnnnnnnnnnnooooo
bbbbjjjjjjjjjjjjjjjiiiiiiiiiiiiiiiiiiiiiiiiinnnnnnnnnnnnnooooo
bbbbjjjjjjjjjjjjjjjiiiiiiiiiiiiiiiiiiiiiiiiinnnnnnnnnnnnnooooo
bbbbjjjjjjjjjjjjjjjiiiiiiiiiiiiiiiiiiiiiiiiinnnnnnnnnnnnnooooo
bbbbjjjjjjjjjjjjjjjiiiiiiiiiiiiiiiiiiiiiiiiinnnnnnnnnnnnnooooo
bbbbjjjjjjjjjjjjjjjiiiiiiiiiiiiiiiiiiiiiiiiinnnnnnnnnnnnnooooo
bbbbjjjjjjjjjjjjjjjiiiiiiiiiiiiiiiiiiiiiiiiinnnnnnnnnnnnnooooo
bbbbjjjjjjjjjjjjjjjiiiiiiiiiiiiiiiiiiiiiiiiinnnnnnnnnnnnnooooo
bbbbjjjjjjjjjjjjjjjiiiiiiiiiiiiiiiiiiiiiiiiinnnnnnnnnnnnnooooo
bbbbjjjjjjjjjjjjjjjiiiiiiiiiiiiiiiiiiiiiiiiinnnnnnnnnnnnnooooo
bbbbjjjjjjjjjjjjjjjggggggggggggggggggggggggggggggggggggggooooo
bbbbjjjjjjjjjjjjjjjggggggggggggggggggggggggggggggggggggggooooo
bbbbjjjjjjjjjjjjjjjggggggggggggggggggggggggggggggggggggggooooo
bbbbjjjjjjjjjjjjjjjggggggggggggggggggggggggggggggggggggggooooo
bbbbjjjjjjjjjjjjjjjggggggggggggggggggggggggggggggggggggggooooo
bbbbjjjjjjjjjjjjjjjggggggggggggggggggggggggggggggggggggggooooo
fffffffffffffffffffffffffffffffffffffffffffffffffffffffffooooo
fffffffffffffffffffffffffffffffffffffffffffffffffffffffffooooo
fffffffffffffffffffffffffffffffffffffffffffffffffffffffffooooo
fffffffffffffffffffffffffffffffffffffffffffffffffffffffffooooo

a(63)=15
ddddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbbbbbbbbbbbbbb
ddddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbbbbbbbbbbbbbb
ddddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbbbbbbbbbbbbbb
ddddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbbbbbbbbbbbbbb
ddddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbbbbbbbbbbbbbb
ddddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbbbbbbbbbbbbbb
ddddppppppppppppppplllllllllllllllllllllllllllbbbbbbbbbbbbbbbbb
ddddppppppppppppppplllllllllllllllllllllllllllbbbbbbbbbbbbbbbbb
ddddppppppppppppppplllllllllllllllllllllllllllbbbbbbbbbbbbbbbbb
ddddppppppppppppppplllllllllllllllllllllllllllbbbbbbbbbbbbbbbbb
ddddppppppppppppppplllllllllllllllllllllllllllbbbbbbbbbbbbbbbbb
ddddppppppppppppppplllllllllllllllllllllllllllbbbbbbbbbbbbbbbbb
ddddppppppppppppppplllllllllllllllllllllllllllbbbbbbbbbbbbbbbbb
ddddppppppppppppppplllllllllllllllllllllllllllbbbbbbbbbbbbbbbbb
ddddppppppppppppppplllllllllllllllllllllllllllbbbbbbbbbbbbbbbbb
ddddpppppppppppppppffffffffffffffffffffffffffffffffffffnnnnnnnn
ddddpppppppppppppppffffffffffffffffffffffffffffffffffffnnnnnnnn
ddddpppppppppppppppffffffffffffffffffffffffffffffffffffnnnnnnnn
ddddpppppppppppppppffffffffffffffffffffffffffffffffffffnnnnnnnn
ddddpppppppppppppppffffffffffffffffffffffffffffffffffffnnnnnnnn
ddddpppppppppppppppffffffffffffffffffffffffffffffffffffnnnnnnnn
ddddpppppppppppppppffffffffffffffffffffffffffffffffffffnnnnnnnn
ddddaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaannnnnnnn
ddddaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaannnnnnnn
ddddaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaannnnnnnn
ddddaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaannnnnnnn
ddddaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaannnnnnnn
ddddiiiiiiiiiigggggggggggggggggggggoooooooooooooooooooonnnnnnnn
ddddiiiiiiiiiigggggggggggggggggggggoooooooooooooooooooonnnnnnnn
ddddiiiiiiiiiigggggggggggggggggggggoooooooooooooooooooonnnnnnnn
ddddiiiiiiiiiigggggggggggggggggggggoooooooooooooooooooonnnnnnnn
ddddiiiiiiiiiigggggggggggggggggggggoooooooooooooooooooonnnnnnnn
ddddiiiiiiiiiigggggggggggggggggggggoooooooooooooooooooonnnnnnnn
ddddiiiiiiiiiigggggggggggggggggggggoooooooooooooooooooonnnnnnnn
ddddiiiiiiiiiigggggggggggggggggggggoooooooooooooooooooonnnnnnnn
ddddiiiiiiiiiigggggggggggggggggggggoooooooooooooooooooonnnnnnnn
ddddiiiiiiiiiigggggggggggggggggggggoooooooooooooooooooonnnnnnnn
ddddiiiiiiiiiigggggggggggggggggggggoooooooooooooooooooonnnnnnnn
ddddiiiiiiiiiigggggggggggggggggggggoooooooooooooooooooonnnnnnnn
ddddiiiiiiiiiijjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjnnnnnnnn
ddddiiiiiiiiiijjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjnnnnnnnn
ddddiiiiiiiiiijjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjnnnnnnnn
ddddiiiiiiiiiijjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjnnnnnnnn
ddddiiiiiiiiiijjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjnnnnnnnn
ddddiiiiiiiiiijjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjnnnnnnnn
ddddiiiiiiiiiikkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkhhhhhhhhhhhhhh
ddddiiiiiiiiiikkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkhhhhhhhhhhhhhh
ddddiiiiiiiiiikkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkhhhhhhhhhhhhhh
ddddiiiiiiiiiikkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkhhhhhhhhhhhhhh
ddddiiiiiiiiiikkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkhhhhhhhhhhhhhh
ddddiiiiiiiiiikkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkhhhhhhhhhhhhhh
ddddiiiiiiiiiikkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkhhhhhhhhhhhhhh
ddddcccccccccccccccccccccccmmmmmmmmmmmmmmmmmmmmmmhhhhhhhhhhhhhh
ddddcccccccccccccccccccccccmmmmmmmmmmmmmmmmmmmmmmhhhhhhhhhhhhhh
ddddcccccccccccccccccccccccmmmmmmmmmmmmmmmmmmmmmmhhhhhhhhhhhhhh
ddddcccccccccccccccccccccccmmmmmmmmmmmmmmmmmmmmmmhhhhhhhhhhhhhh
ddddcccccccccccccccccccccccmmmmmmmmmmmmmmmmmmmmmmhhhhhhhhhhhhhh
ddddcccccccccccccccccccccccmmmmmmmmmmmmmmmmmmmmmmhhhhhhhhhhhhhh
ddddcccccccccccccccccccccccmmmmmmmmmmmmmmmmmmmmmmhhhhhhhhhhhhhh
ddddcccccccccccccccccccccccmmmmmmmmmmmmmmmmmmmmmmhhhhhhhhhhhhhh
ddddcccccccccccccccccccccccmmmmmmmmmmmmmmmmmmmmmmhhhhhhhhhhhhhh
ddddcccccccccccccccccccccccmmmmmmmmmmmmmmmmmmmmmmhhhhhhhhhhhhhh
ddddcccccccccccccccccccccccmmmmmmmmmmmmmmmmmmmmmmhhhhhhhhhhhhhh

a(64)=15
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaafffffffffffffffffffff
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaafffffffffffffffffffff
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaafffffffffffffffffffff
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaafffffffffffffffffffff
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaafffffffffffffffffffff
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaafffffffffffffffffffff
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaafffffffffffffffffffff
kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkeeeeeeeeeeefffffffffffffffffffff
kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkeeeeeeeeeeefffffffffffffffffffff
kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkeeeeeeeeeeefffffffffffffffffffff
kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkeeeeeeeeeeefffffffffffffffffffff
kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkeeeeeeeeeeefffffffffffffffffffff
kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkeeeeeeeeeeefffffffffffffffffffff
kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkeeeeeeeeeeefffffffffffffffffffff
kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkeeeeeeeeeeedddddddddddddddbbbbbb
kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkeeeeeeeeeeedddddddddddddddbbbbbb
nnnnnnnnnnnnnnnnnnnnnnhhhhhhhhhheeeeeeeeeeedddddddddddddddbbbbbb
nnnnnnnnnnnnnnnnnnnnnnhhhhhhhhhheeeeeeeeeeedddddddddddddddbbbbbb
nnnnnnnnnnnnnnnnnnnnnnhhhhhhhhhheeeeeeeeeeedddddddddddddddbbbbbb
nnnnnnnnnnnnnnnnnnnnnnhhhhhhhhhheeeeeeeeeeedddddddddddddddbbbbbb
nnnnnnnnnnnnnnnnnnnnnnhhhhhhhhhheeeeeeeeeeedddddddddddddddbbbbbb
nnnnnnnnnnnnnnnnnnnnnnhhhhhhhhhheeeeeeeeeeedddddddddddddddbbbbbb
nnnnnnnnnnnnnnnnnnnnnnhhhhhhhhhheeeeeeeeeeedddddddddddddddbbbbbb
nnnnnnnnnnnnnnnnnnnnnnhhhhhhhhhheeeeeeeeeeedddddddddddddddbbbbbb
nnnnnnnnnnnnnnnnnnnnnnhhhhhhhhhheeeeeeeeeeedddddddddddddddbbbbbb
nnnnnnnnnnnnnnnnnnnnnnhhhhhhhhhheeeeeeeeeeedddddddddddddddbbbbbb
nnnnnnnnnnnnnnnnnnnnnnhhhhhhhhhheeeeeeeeeeedddddddddddddddbbbbbb
nnnnnnnnnnnnnnnnnnnnnnhhhhhhhhhheeeeeeeeeeedddddddddddddddbbbbbb
nnnnnnnnnnnnnnnnnnnnnnhhhhhhhhhheeeeeeeeeeedddddddddddddddbbbbbb
ccccccccccllllllllllllhhhhhhhhhheeeeeeeeeeedddddddddddddddbbbbbb
ccccccccccllllllllllllhhhhhhhhhheeeeeeeeeeedddddddddddddddbbbbbb
ccccccccccllllllllllllhhhhhhhhhheeeeeeeeeeedddddddddddddddbbbbbb
ccccccccccllllllllllllhhhhhhhhhheeeeeeeeeeedddddddddddddddbbbbbb
ccccccccccllllllllllllhhhhhhhhhheeeeeeeeeeedddddddddddddddbbbbbb
ccccccccccllllllllllllhhhhhhhhhhmmmmmmmmmmmmmmmmmmmmmmmmmmbbbbbb
ccccccccccllllllllllllhhhhhhhhhhmmmmmmmmmmmmmmmmmmmmmmmmmmbbbbbb
ccccccccccllllllllllllhhhhhhhhhhmmmmmmmmmmmmmmmmmmmmmmmmmmbbbbbb
ccccccccccllllllllllllhhhhhhhhhhmmmmmmmmmmmmmmmmmmmmmmmmmmbbbbbb
ccccccccccllllllllllllhhhhhhhhhhmmmmmmmmmmmmmmmmmmmmmmmmmmbbbbbb
ccccccccccllllllllllllhhhhhhhhhhmmmmmmmmmmmmmmmmmmmmmmmmmmbbbbbb
ccccccccccllllllllllllhhhhhhhhhhmmmmmmmmmmmmmmmmmmmmmmmmmmbbbbbb
ccccccccccllllllllllllhhhhhhhhhhmmmmmmmmmmmmmmmmmmmmmmmmmmbbbbbb
ccccccccccllllllllllllhhhhhhhhhhmmmmmmmmmmmmmmmmmmmmmmmmmmbbbbbb
ccccccccccllllllllllllhhhhhhhhhhmmmmmmmmmmmmmmmmmmmmmmmmmmbbbbbb
ccccccccccllllllllllllhhhhhhhhhhmmmmmmmmmmmmmmmmmmmmmmmmmmbbbbbb
cccccccccclllllllllllljjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjbbbbbb
cccccccccclllllllllllljjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjbbbbbb
cccccccccclllllllllllljjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjbbbbbb
cccccccccclllllllllllljjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjbbbbbb
cccccccccclllllllllllljjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjbbbbbb
cccccccccclllllllllllljjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjbbbbbb
cccccccccclllllllllllljjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjbbbbbb
cccccccccclllllllllllljjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjbbbbbb
cccccccccciiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiibbbbbb
cccccccccciiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiibbbbbb
cccccccccciiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiibbbbbb
cccccccccciiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiibbbbbb
cccccccccciiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiibbbbbb
cccccccccciiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiibbbbbb
ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggbbbbbb
ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggbbbbbb
ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggbbbbbb
ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggbbbbbb
ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggbbbbbb

a(65)=15
kkkkjjjjjjjjjjjjjjjjjllllllllllllllllllllllllllllllllllllllllllll
kkkkjjjjjjjjjjjjjjjjjllllllllllllllllllllllllllllllllllllllllllll
kkkkjjjjjjjjjjjjjjjjjllllllllllllllllllllllllllllllllllllllllllll
kkkkjjjjjjjjjjjjjjjjjllllllllllllllllllllllllllllllllllllllllllll
kkkkjjjjjjjjjjjjjjjjjllllllllllllllllllllllllllllllllllllllllllll
kkkkjjjjjjjjjjjjjjjjjgggggggggggggggggggggggggggghhhhhhhhhhhhhhhh
kkkkjjjjjjjjjjjjjjjjjgggggggggggggggggggggggggggghhhhhhhhhhhhhhhh
kkkkjjjjjjjjjjjjjjjjjgggggggggggggggggggggggggggghhhhhhhhhhhhhhhh
kkkkjjjjjjjjjjjjjjjjjgggggggggggggggggggggggggggghhhhhhhhhhhhhhhh
kkkkjjjjjjjjjjjjjjjjjgggggggggggggggggggggggggggghhhhhhhhhhhhhhhh
kkkkjjjjjjjjjjjjjjjjjgggggggggggggggggggggggggggghhhhhhhhhhhhhhhh
kkkkjjjjjjjjjjjjjjjjjgggggggggggggggggggggggggggghhhhhhhhhhhhhhhh
kkkkjjjjjjjjjjjjjjjjjgggggggggggggggggggggggggggghhhhhhhhhhhhhhhh
kkkkaaaaaaaddddddddddddddddddddddddddddddddddddddhhhhhhhhhhhhhhhh
kkkkaaaaaaaddddddddddddddddddddddddddddddddddddddhhhhhhhhhhhhhhhh
kkkkaaaaaaaddddddddddddddddddddddddddddddddddddddhhhhhhhhhhhhhhhh
kkkkaaaaaaaddddddddddddddddddddddddddddddddddddddhhhhhhhhhhhhhhhh
kkkkaaaaaaaddddddddddddddddddddddddddddddddddddddhhhhhhhhhhhhhhhh
kkkkaaaaaaaddddddddddddddddddddddddddddddddddddddhhhhhhhhhhhhhhhh
kkkkaaaaaaarrrrrrrrcccccccccccccccccccccccccccccccccccccccccccccc
kkkkaaaaaaarrrrrrrrcccccccccccccccccccccccccccccccccccccccccccccc
kkkkaaaaaaarrrrrrrrcccccccccccccccccccccccccccccccccccccccccccccc
kkkkaaaaaaarrrrrrrrcccccccccccccccccccccccccccccccccccccccccccccc
kkkkaaaaaaarrrrrrrrcccccccccccccccccccccccccccccccccccccccccccccc
kkkkaaaaaaarrrrrrrrmmmmmmmmmmoooooooiiiiiieeeeeeeeeeeebbbbbbbbbbb
kkkkaaaaaaarrrrrrrrmmmmmmmmmmoooooooiiiiiieeeeeeeeeeeebbbbbbbbbbb
kkkkaaaaaaarrrrrrrrmmmmmmmmmmoooooooiiiiiieeeeeeeeeeeebbbbbbbbbbb
kkkkaaaaaaarrrrrrrrmmmmmmmmmmoooooooiiiiiieeeeeeeeeeeebbbbbbbbbbb
kkkkaaaaaaarrrrrrrrmmmmmmmmmmoooooooiiiiiieeeeeeeeeeeebbbbbbbbbbb
kkkkaaaaaaarrrrrrrrmmmmmmmmmmoooooooiiiiiieeeeeeeeeeeebbbbbbbbbbb
kkkkaaaaaaarrrrrrrrmmmmmmmmmmoooooooiiiiiieeeeeeeeeeeebbbbbbbbbbb
kkkkaaaaaaarrrrrrrrmmmmmmmmmmoooooooiiiiiieeeeeeeeeeeebbbbbbbbbbb
kkkkaaaaaaarrrrrrrrmmmmmmmmmmoooooooiiiiiieeeeeeeeeeeebbbbbbbbbbb
kkkkaaaaaaarrrrrrrrmmmmmmmmmmoooooooiiiiiieeeeeeeeeeeebbbbbbbbbbb
kkkkaaaaaaarrrrrrrrmmmmmmmmmmoooooooiiiiiieeeeeeeeeeeebbbbbbbbbbb
kkkkaaaaaaarrrrrrrrmmmmmmmmmmoooooooiiiiiieeeeeeeeeeeebbbbbbbbbbb
kkkkaaaaaaarrrrrrrrmmmmmmmmmmoooooooiiiiiieeeeeeeeeeeebbbbbbbbbbb
kkkkaaaaaaarrrrrrrrmmmmmmmmmmoooooooiiiiiieeeeeeeeeeeebbbbbbbbbbb
kkkkaaaaaaarrrrrrrrmmmmmmmmmmoooooooiiiiiieeeeeeeeeeeebbbbbbbbbbb
kkkkaaaaaaarrrrrrrrmmmmmmmmmmoooooooiiiiiieeeeeeeeeeeebbbbbbbbbbb
kkkkaaaaaaarrrrrrrrmmmmmmmmmmoooooooiiiiiieeeeeeeeeeeebbbbbbbbbbb
kkkkaaaaaaarrrrrrrrmmmmmmmmmmoooooooiiiiiieeeeeeeeeeeebbbbbbbbbbb
kkkkaaaaaaarrrrrrrrmmmmmmmmmmoooooooiiiiiieeeeeeeeeeeebbbbbbbbbbb
kkkkaaaaaaarrrrrrrrmmmmmmmmmmoooooooiiiiiissssssssssssbbbbbbbbbbb
kkkkaaaaaaarrrrrrrrmmmmmmmmmmoooooooiiiiiissssssssssssbbbbbbbbbbb
kkkkaaaaaaarrrrrrrrmmmmmmmmmmoooooooiiiiiissssssssssssnnnnnnnnnnn
kkkkfffffffffffffffffffffffffoooooooiiiiiissssssssssssnnnnnnnnnnn
kkkkfffffffffffffffffffffffffoooooooiiiiiissssssssssssnnnnnnnnnnn
kkkkfffffffffffffffffffffffffoooooooiiiiiissssssssssssnnnnnnnnnnn
kkkkfffffffffffffffffffffffffoooooooiiiiiissssssssssssnnnnnnnnnnn
kkkkfffffffffffffffffffffffffoooooooiiiiiissssssssssssnnnnnnnnnnn
kkkkfffffffffffffffffffffffffoooooooiiiiiissssssssssssnnnnnnnnnnn
kkkkfffffffffffffffffffffffffoooooooiiiiiissssssssssssnnnnnnnnnnn
kkkkfffffffffffffffffffffffffoooooooiiiiiissssssssssssnnnnnnnnnnn
kkkkfffffffffffffffffffffffffoooooooiiiiiissssssssssssnnnnnnnnnnn
qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqiiiiiissssssssssssnnnnnnnnnnn
qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqiiiiiissssssssssssnnnnnnnnnnn
qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqiiiiiissssssssssssnnnnnnnnnnn
qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqiiiiiissssssssssssnnnnnnnnnnn
qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqiiiiiissssssssssssnnnnnnnnnnn
qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqiiiiiissssssssssssnnnnnnnnnnn
ppppppppppppppppppppppppppppppppppppppppppppppppppppppnnnnnnnnnnn
ppppppppppppppppppppppppppppppppppppppppppppppppppppppnnnnnnnnnnn
ppppppppppppppppppppppppppppppppppppppppppppppppppppppnnnnnnnnnnn
ppppppppppppppppppppppppppppppppppppppppppppppppppppppnnnnnnnnnnn
I also submitted an update to the OEIS sequence today: https://oeis.org/A276523 (not yet approved).
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