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2020-10-23, 13:11
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#45 |
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Oct 2020
116 Posts |
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 |
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