=>

[1,0]=>[1]=>[1]=>1 [1,0,1,0]=>[1,1]=>[2]=>10 [1,1,0,0]=>[2]=>[1,1]=>11 [1,0,1,0,1,0]=>[1,1,1]=>[3]=>100 [1,0,1,1,0,0]=>[1,2]=>[2,1]=>101 [1,1,0,0,1,0]=>[2,1]=>[1,2]=>110 [1,1,0,1,0,0]=>[2,1]=>[1,2]=>110 [1,1,1,0,0,0]=>[3]=>[1,1,1]=>111 [1,0,1,0,1,0,1,0]=>[1,1,1,1]=>[4]=>1000 [1,0,1,0,1,1,0,0]=>[1,1,2]=>[3,1]=>1001 [1,0,1,1,0,0,1,0]=>[1,2,1]=>[2,2]=>1010 [1,0,1,1,0,1,0,0]=>[1,2,1]=>[2,2]=>1010 [1,0,1,1,1,0,0,0]=>[1,3]=>[2,1,1]=>1011 [1,1,0,0,1,0,1,0]=>[2,1,1]=>[1,3]=>1100 [1,1,0,0,1,1,0,0]=>[2,2]=>[1,2,1]=>1101 [1,1,0,1,0,0,1,0]=>[2,1,1]=>[1,3]=>1100 [1,1,0,1,0,1,0,0]=>[2,1,1]=>[1,3]=>1100 [1,1,0,1,1,0,0,0]=>[2,2]=>[1,2,1]=>1101 [1,1,1,0,0,0,1,0]=>[3,1]=>[1,1,2]=>1110 [1,1,1,0,0,1,0,0]=>[3,1]=>[1,1,2]=>1110 [1,1,1,0,1,0,0,0]=>[3,1]=>[1,1,2]=>1110 [1,1,1,1,0,0,0,0]=>[4]=>[1,1,1,1]=>1111 [1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1]=>[5]=>10000 [1,0,1,0,1,0,1,1,0,0]=>[1,1,1,2]=>[4,1]=>10001 [1,0,1,0,1,1,0,0,1,0]=>[1,1,2,1]=>[3,2]=>10010 [1,0,1,0,1,1,0,1,0,0]=>[1,1,2,1]=>[3,2]=>10010 [1,0,1,0,1,1,1,0,0,0]=>[1,1,3]=>[3,1,1]=>10011 [1,0,1,1,0,0,1,0,1,0]=>[1,2,1,1]=>[2,3]=>10100 [1,0,1,1,0,0,1,1,0,0]=>[1,2,2]=>[2,2,1]=>10101 [1,0,1,1,0,1,0,0,1,0]=>[1,2,1,1]=>[2,3]=>10100 [1,0,1,1,0,1,0,1,0,0]=>[1,2,1,1]=>[2,3]=>10100 [1,0,1,1,0,1,1,0,0,0]=>[1,2,2]=>[2,2,1]=>10101 [1,0,1,1,1,0,0,0,1,0]=>[1,3,1]=>[2,1,2]=>10110 [1,0,1,1,1,0,0,1,0,0]=>[1,3,1]=>[2,1,2]=>10110 [1,0,1,1,1,0,1,0,0,0]=>[1,3,1]=>[2,1,2]=>10110 [1,0,1,1,1,1,0,0,0,0]=>[1,4]=>[2,1,1,1]=>10111 [1,1,0,0,1,0,1,0,1,0]=>[2,1,1,1]=>[1,4]=>11000 [1,1,0,0,1,0,1,1,0,0]=>[2,1,2]=>[1,3,1]=>11001 [1,1,0,0,1,1,0,0,1,0]=>[2,2,1]=>[1,2,2]=>11010 [1,1,0,0,1,1,0,1,0,0]=>[2,2,1]=>[1,2,2]=>11010 [1,1,0,0,1,1,1,0,0,0]=>[2,3]=>[1,2,1,1]=>11011 [1,1,0,1,0,0,1,0,1,0]=>[2,1,1,1]=>[1,4]=>11000 [1,1,0,1,0,0,1,1,0,0]=>[2,1,2]=>[1,3,1]=>11001 [1,1,0,1,0,1,0,0,1,0]=>[2,1,1,1]=>[1,4]=>11000 [1,1,0,1,0,1,0,1,0,0]=>[2,1,1,1]=>[1,4]=>11000 [1,1,0,1,0,1,1,0,0,0]=>[2,1,2]=>[1,3,1]=>11001 [1,1,0,1,1,0,0,0,1,0]=>[2,2,1]=>[1,2,2]=>11010 [1,1,0,1,1,0,0,1,0,0]=>[2,2,1]=>[1,2,2]=>11010 [1,1,0,1,1,0,1,0,0,0]=>[2,2,1]=>[1,2,2]=>11010 [1,1,0,1,1,1,0,0,0,0]=>[2,3]=>[1,2,1,1]=>11011 [1,1,1,0,0,0,1,0,1,0]=>[3,1,1]=>[1,1,3]=>11100 [1,1,1,0,0,0,1,1,0,0]=>[3,2]=>[1,1,2,1]=>11101 [1,1,1,0,0,1,0,0,1,0]=>[3,1,1]=>[1,1,3]=>11100 [1,1,1,0,0,1,0,1,0,0]=>[3,1,1]=>[1,1,3]=>11100 [1,1,1,0,0,1,1,0,0,0]=>[3,2]=>[1,1,2,1]=>11101 [1,1,1,0,1,0,0,0,1,0]=>[3,1,1]=>[1,1,3]=>11100 [1,1,1,0,1,0,0,1,0,0]=>[3,1,1]=>[1,1,3]=>11100 [1,1,1,0,1,0,1,0,0,0]=>[3,1,1]=>[1,1,3]=>11100 [1,1,1,0,1,1,0,0,0,0]=>[3,2]=>[1,1,2,1]=>11101 [1,1,1,1,0,0,0,0,1,0]=>[4,1]=>[1,1,1,2]=>11110 [1,1,1,1,0,0,0,1,0,0]=>[4,1]=>[1,1,1,2]=>11110 [1,1,1,1,0,0,1,0,0,0]=>[4,1]=>[1,1,1,2]=>11110 [1,1,1,1,0,1,0,0,0,0]=>[4,1]=>[1,1,1,2]=>11110 [1,1,1,1,1,0,0,0,0,0]=>[5]=>[1,1,1,1,1]=>11111 [1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,1]=>[6]=>100000 [1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,2]=>[5,1]=>100001 [1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,2,1]=>[4,2]=>100010 [1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,2,1]=>[4,2]=>100010 [1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,3]=>[4,1,1]=>100011 [1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,2,1,1]=>[3,3]=>100100 [1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,2,2]=>[3,2,1]=>100101 [1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,2,1,1]=>[3,3]=>100100 [1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,2,1,1]=>[3,3]=>100100 [1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,2,2]=>[3,2,1]=>100101 [1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,3,1]=>[3,1,2]=>100110 [1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,3,1]=>[3,1,2]=>100110 [1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,3,1]=>[3,1,2]=>100110 [1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,4]=>[3,1,1,1]=>100111 [1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,1,1,1]=>[2,4]=>101000 [1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,1,2]=>[2,3,1]=>101001 [1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,2,1]=>[2,2,2]=>101010 [1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,2,1]=>[2,2,2]=>101010 [1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,3]=>[2,2,1,1]=>101011 [1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,1,1,1]=>[2,4]=>101000 [1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,1,2]=>[2,3,1]=>101001 [1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,1,1,1]=>[2,4]=>101000 [1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,1,1,1]=>[2,4]=>101000 [1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,1,2]=>[2,3,1]=>101001 [1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,2,1]=>[2,2,2]=>101010 [1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,2,1]=>[2,2,2]=>101010 [1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,2,1]=>[2,2,2]=>101010 [1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,3]=>[2,2,1,1]=>101011 [1,0,1,1,1,0,0,0,1,0,1,0]=>[1,3,1,1]=>[2,1,3]=>101100 [1,0,1,1,1,0,0,0,1,1,0,0]=>[1,3,2]=>[2,1,2,1]=>101101 [1,0,1,1,1,0,0,1,0,0,1,0]=>[1,3,1,1]=>[2,1,3]=>101100 [1,0,1,1,1,0,0,1,0,1,0,0]=>[1,3,1,1]=>[2,1,3]=>101100 [1,0,1,1,1,0,0,1,1,0,0,0]=>[1,3,2]=>[2,1,2,1]=>101101 [1,0,1,1,1,0,1,0,0,0,1,0]=>[1,3,1,1]=>[2,1,3]=>101100 [1,0,1,1,1,0,1,0,0,1,0,0]=>[1,3,1,1]=>[2,1,3]=>101100 [1,0,1,1,1,0,1,0,1,0,0,0]=>[1,3,1,1]=>[2,1,3]=>101100 [1,0,1,1,1,0,1,1,0,0,0,0]=>[1,3,2]=>[2,1,2,1]=>101101 [1,0,1,1,1,1,0,0,0,0,1,0]=>[1,4,1]=>[2,1,1,2]=>101110 [1,0,1,1,1,1,0,0,0,1,0,0]=>[1,4,1]=>[2,1,1,2]=>101110 [1,0,1,1,1,1,0,0,1,0,0,0]=>[1,4,1]=>[2,1,1,2]=>101110 [1,0,1,1,1,1,0,1,0,0,0,0]=>[1,4,1]=>[2,1,1,2]=>101110 [1,0,1,1,1,1,1,0,0,0,0,0]=>[1,5]=>[2,1,1,1,1]=>101111 [1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1]=>[1,5]=>110000 [1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,1,2]=>[1,4,1]=>110001 [1,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,2,1]=>[1,3,2]=>110010 [1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,2,1]=>[1,3,2]=>110010 [1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,3]=>[1,3,1,1]=>110011 [1,1,0,0,1,1,0,0,1,0,1,0]=>[2,2,1,1]=>[1,2,3]=>110100 [1,1,0,0,1,1,0,0,1,1,0,0]=>[2,2,2]=>[1,2,2,1]=>110101 [1,1,0,0,1,1,0,1,0,0,1,0]=>[2,2,1,1]=>[1,2,3]=>110100 [1,1,0,0,1,1,0,1,0,1,0,0]=>[2,2,1,1]=>[1,2,3]=>110100 [1,1,0,0,1,1,0,1,1,0,0,0]=>[2,2,2]=>[1,2,2,1]=>110101 [1,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,1]=>[1,2,1,2]=>110110 [1,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,1]=>[1,2,1,2]=>110110 [1,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,1]=>[1,2,1,2]=>110110 [1,1,0,0,1,1,1,1,0,0,0,0]=>[2,4]=>[1,2,1,1,1]=>110111 [1,1,0,1,0,0,1,0,1,0,1,0]=>[2,1,1,1,1]=>[1,5]=>110000 [1,1,0,1,0,0,1,0,1,1,0,0]=>[2,1,1,2]=>[1,4,1]=>110001 [1,1,0,1,0,0,1,1,0,0,1,0]=>[2,1,2,1]=>[1,3,2]=>110010 [1,1,0,1,0,0,1,1,0,1,0,0]=>[2,1,2,1]=>[1,3,2]=>110010 [1,1,0,1,0,0,1,1,1,0,0,0]=>[2,1,3]=>[1,3,1,1]=>110011 [1,1,0,1,0,1,0,0,1,0,1,0]=>[2,1,1,1,1]=>[1,5]=>110000 [1,1,0,1,0,1,0,0,1,1,0,0]=>[2,1,1,2]=>[1,4,1]=>110001 [1,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,1,1,1]=>[1,5]=>110000 [1,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,1,1,1]=>[1,5]=>110000 [1,1,0,1,0,1,0,1,1,0,0,0]=>[2,1,1,2]=>[1,4,1]=>110001 [1,1,0,1,0,1,1,0,0,0,1,0]=>[2,1,2,1]=>[1,3,2]=>110010 [1,1,0,1,0,1,1,0,0,1,0,0]=>[2,1,2,1]=>[1,3,2]=>110010 [1,1,0,1,0,1,1,0,1,0,0,0]=>[2,1,2,1]=>[1,3,2]=>110010 [1,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,3]=>[1,3,1,1]=>110011 [1,1,0,1,1,0,0,0,1,0,1,0]=>[2,2,1,1]=>[1,2,3]=>110100 [1,1,0,1,1,0,0,0,1,1,0,0]=>[2,2,2]=>[1,2,2,1]=>110101 [1,1,0,1,1,0,0,1,0,0,1,0]=>[2,2,1,1]=>[1,2,3]=>110100 [1,1,0,1,1,0,0,1,0,1,0,0]=>[2,2,1,1]=>[1,2,3]=>110100 [1,1,0,1,1,0,0,1,1,0,0,0]=>[2,2,2]=>[1,2,2,1]=>110101 [1,1,0,1,1,0,1,0,0,0,1,0]=>[2,2,1,1]=>[1,2,3]=>110100 [1,1,0,1,1,0,1,0,0,1,0,0]=>[2,2,1,1]=>[1,2,3]=>110100 [1,1,0,1,1,0,1,0,1,0,0,0]=>[2,2,1,1]=>[1,2,3]=>110100 [1,1,0,1,1,0,1,1,0,0,0,0]=>[2,2,2]=>[1,2,2,1]=>110101 [1,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,1]=>[1,2,1,2]=>110110 [1,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,1]=>[1,2,1,2]=>110110 [1,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,1]=>[1,2,1,2]=>110110 [1,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,1]=>[1,2,1,2]=>110110 [1,1,0,1,1,1,1,0,0,0,0,0]=>[2,4]=>[1,2,1,1,1]=>110111 [1,1,1,0,0,0,1,0,1,0,1,0]=>[3,1,1,1]=>[1,1,4]=>111000 [1,1,1,0,0,0,1,0,1,1,0,0]=>[3,1,2]=>[1,1,3,1]=>111001 [1,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,1]=>[1,1,2,2]=>111010 [1,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,1]=>[1,1,2,2]=>111010 [1,1,1,0,0,0,1,1,1,0,0,0]=>[3,3]=>[1,1,2,1,1]=>111011 [1,1,1,0,0,1,0,0,1,0,1,0]=>[3,1,1,1]=>[1,1,4]=>111000 [1,1,1,0,0,1,0,0,1,1,0,0]=>[3,1,2]=>[1,1,3,1]=>111001 [1,1,1,0,0,1,0,1,0,0,1,0]=>[3,1,1,1]=>[1,1,4]=>111000 [1,1,1,0,0,1,0,1,0,1,0,0]=>[3,1,1,1]=>[1,1,4]=>111000 [1,1,1,0,0,1,0,1,1,0,0,0]=>[3,1,2]=>[1,1,3,1]=>111001 [1,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,1]=>[1,1,2,2]=>111010 [1,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,1]=>[1,1,2,2]=>111010 [1,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,1]=>[1,1,2,2]=>111010 [1,1,1,0,0,1,1,1,0,0,0,0]=>[3,3]=>[1,1,2,1,1]=>111011 [1,1,1,0,1,0,0,0,1,0,1,0]=>[3,1,1,1]=>[1,1,4]=>111000 [1,1,1,0,1,0,0,0,1,1,0,0]=>[3,1,2]=>[1,1,3,1]=>111001 [1,1,1,0,1,0,0,1,0,0,1,0]=>[3,1,1,1]=>[1,1,4]=>111000 [1,1,1,0,1,0,0,1,0,1,0,0]=>[3,1,1,1]=>[1,1,4]=>111000 [1,1,1,0,1,0,0,1,1,0,0,0]=>[3,1,2]=>[1,1,3,1]=>111001 [1,1,1,0,1,0,1,0,0,0,1,0]=>[3,1,1,1]=>[1,1,4]=>111000 [1,1,1,0,1,0,1,0,0,1,0,0]=>[3,1,1,1]=>[1,1,4]=>111000 [1,1,1,0,1,0,1,0,1,0,0,0]=>[3,1,1,1]=>[1,1,4]=>111000 [1,1,1,0,1,0,1,1,0,0,0,0]=>[3,1,2]=>[1,1,3,1]=>111001 [1,1,1,0,1,1,0,0,0,0,1,0]=>[3,2,1]=>[1,1,2,2]=>111010 [1,1,1,0,1,1,0,0,0,1,0,0]=>[3,2,1]=>[1,1,2,2]=>111010 [1,1,1,0,1,1,0,0,1,0,0,0]=>[3,2,1]=>[1,1,2,2]=>111010 [1,1,1,0,1,1,0,1,0,0,0,0]=>[3,2,1]=>[1,1,2,2]=>111010 [1,1,1,0,1,1,1,0,0,0,0,0]=>[3,3]=>[1,1,2,1,1]=>111011 [1,1,1,1,0,0,0,0,1,0,1,0]=>[4,1,1]=>[1,1,1,3]=>111100 [1,1,1,1,0,0,0,0,1,1,0,0]=>[4,2]=>[1,1,1,2,1]=>111101 [1,1,1,1,0,0,0,1,0,0,1,0]=>[4,1,1]=>[1,1,1,3]=>111100 [1,1,1,1,0,0,0,1,0,1,0,0]=>[4,1,1]=>[1,1,1,3]=>111100 [1,1,1,1,0,0,0,1,1,0,0,0]=>[4,2]=>[1,1,1,2,1]=>111101 [1,1,1,1,0,0,1,0,0,0,1,0]=>[4,1,1]=>[1,1,1,3]=>111100 [1,1,1,1,0,0,1,0,0,1,0,0]=>[4,1,1]=>[1,1,1,3]=>111100 [1,1,1,1,0,0,1,0,1,0,0,0]=>[4,1,1]=>[1,1,1,3]=>111100 [1,1,1,1,0,0,1,1,0,0,0,0]=>[4,2]=>[1,1,1,2,1]=>111101 [1,1,1,1,0,1,0,0,0,0,1,0]=>[4,1,1]=>[1,1,1,3]=>111100 [1,1,1,1,0,1,0,0,0,1,0,0]=>[4,1,1]=>[1,1,1,3]=>111100 [1,1,1,1,0,1,0,0,1,0,0,0]=>[4,1,1]=>[1,1,1,3]=>111100 [1,1,1,1,0,1,0,1,0,0,0,0]=>[4,1,1]=>[1,1,1,3]=>111100 [1,1,1,1,0,1,1,0,0,0,0,0]=>[4,2]=>[1,1,1,2,1]=>111101 [1,1,1,1,1,0,0,0,0,0,1,0]=>[5,1]=>[1,1,1,1,2]=>111110 [1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1]=>[1,1,1,1,2]=>111110 [1,1,1,1,1,0,0,0,1,0,0,0]=>[5,1]=>[1,1,1,1,2]=>111110 [1,1,1,1,1,0,0,1,0,0,0,0]=>[5,1]=>[1,1,1,1,2]=>111110 [1,1,1,1,1,0,1,0,0,0,0,0]=>[5,1]=>[1,1,1,1,2]=>111110 [1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>[1,1,1,1,1,1]=>111111 [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,1]=>[7]=>1000000 [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,1,2]=>[6,1]=>1000001 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,2,1]=>[5,2]=>1000010 [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,2,1]=>[5,2]=>1000010 [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,3]=>[5,1,1]=>1000011 [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,1,2,1,1]=>[4,3]=>1000100 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,1,2,2]=>[4,2,1]=>1000101 [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,2,1,1]=>[4,3]=>1000100 [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,1,2,1,1]=>[4,3]=>1000100 [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,2,2]=>[4,2,1]=>1000101 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,3,1]=>[4,1,2]=>1000110 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,3,1]=>[4,1,2]=>1000110 [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,3,1]=>[4,1,2]=>1000110 [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,4]=>[4,1,1,1]=>1000111 [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,2,1,1,1]=>[3,4]=>1001000 [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,2,1,2]=>[3,3,1]=>1001001 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,2,2,1]=>[3,2,2]=>1001010 [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,2,2,1]=>[3,2,2]=>1001010 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,2,3]=>[3,2,1,1]=>1001011 [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,2,1,1,1]=>[3,4]=>1001000 [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,2,1,2]=>[3,3,1]=>1001001 [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,2,1,1,1]=>[3,4]=>1001000 [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,2,1,1,1]=>[3,4]=>1001000 [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,2,1,2]=>[3,3,1]=>1001001 [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,2,2,1]=>[3,2,2]=>1001010 [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,2,2,1]=>[3,2,2]=>1001010 [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,2,2,1]=>[3,2,2]=>1001010 [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,2,3]=>[3,2,1,1]=>1001011 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,3,1,1]=>[3,1,3]=>1001100 [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,3,2]=>[3,1,2,1]=>1001101 [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,3,1,1]=>[3,1,3]=>1001100 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,3,1,1]=>[3,1,3]=>1001100 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,3,2]=>[3,1,2,1]=>1001101 [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,3,1,1]=>[3,1,3]=>1001100 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,3,1,1]=>[3,1,3]=>1001100 [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,3,1,1]=>[3,1,3]=>1001100 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,3,2]=>[3,1,2,1]=>1001101 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,4,1]=>[3,1,1,2]=>1001110 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,4,1]=>[3,1,1,2]=>1001110 [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,4,1]=>[3,1,1,2]=>1001110 [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,4,1]=>[3,1,1,2]=>1001110 [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,5]=>[3,1,1,1,1]=>1001111 [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,1,1,1,1]=>[2,5]=>1010000 [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,2,1,1,2]=>[2,4,1]=>1010001 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,2,1,2,1]=>[2,3,2]=>1010010 [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,2,1,2,1]=>[2,3,2]=>1010010 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,2,1,3]=>[2,3,1,1]=>1010011 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,2,2,1,1]=>[2,2,3]=>1010100 [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,2,2]=>[2,2,2,1]=>1010101 [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,2,2,1,1]=>[2,2,3]=>1010100 [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,2,2,1,1]=>[2,2,3]=>1010100 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,2,2,2]=>[2,2,2,1]=>1010101 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,2,3,1]=>[2,2,1,2]=>1010110 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,2,3,1]=>[2,2,1,2]=>1010110 [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,2,3,1]=>[2,2,1,2]=>1010110 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,4]=>[2,2,1,1,1]=>1010111 [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,2,1,1,1,1]=>[2,5]=>1010000 [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,2,1,1,2]=>[2,4,1]=>1010001 [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,2,1,2,1]=>[2,3,2]=>1010010 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,2,1,2,1]=>[2,3,2]=>1010010 [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,2,1,3]=>[2,3,1,1]=>1010011 [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,2,1,1,1,1]=>[2,5]=>1010000 [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,2,1,1,2]=>[2,4,1]=>1010001 [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,2,1,1,1,1]=>[2,5]=>1010000 [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,1,1,1,1]=>[2,5]=>1010000 [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,2,1,1,2]=>[2,4,1]=>1010001 [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,2,1,2,1]=>[2,3,2]=>1010010 [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,2,1,2,1]=>[2,3,2]=>1010010 [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,2,1,2,1]=>[2,3,2]=>1010010 [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,2,1,3]=>[2,3,1,1]=>1010011 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,2,2,1,1]=>[2,2,3]=>1010100 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,2,2,2]=>[2,2,2,1]=>1010101 [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,2,2,1,1]=>[2,2,3]=>1010100 [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,2,2,1,1]=>[2,2,3]=>1010100 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,2,2,2]=>[2,2,2,1]=>1010101 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,2,2,1,1]=>[2,2,3]=>1010100 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,2,2,1,1]=>[2,2,3]=>1010100 [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,2,2,1,1]=>[2,2,3]=>1010100 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,2,2,2]=>[2,2,2,1]=>1010101 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,2,3,1]=>[2,2,1,2]=>1010110 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,2,3,1]=>[2,2,1,2]=>1010110 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,2,3,1]=>[2,2,1,2]=>1010110 [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,2,3,1]=>[2,2,1,2]=>1010110 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4]=>[2,2,1,1,1]=>1010111 [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,3,1,1,1]=>[2,1,4]=>1011000 [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,3,1,2]=>[2,1,3,1]=>1011001 [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,3,2,1]=>[2,1,2,2]=>1011010 [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,3,2,1]=>[2,1,2,2]=>1011010 [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,3,3]=>[2,1,2,1,1]=>1011011 [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,3,1,1,1]=>[2,1,4]=>1011000 [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,3,1,2]=>[2,1,3,1]=>1011001 [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,3,1,1,1]=>[2,1,4]=>1011000 [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,3,1,1,1]=>[2,1,4]=>1011000 [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,3,1,2]=>[2,1,3,1]=>1011001 [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,3,2,1]=>[2,1,2,2]=>1011010 [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,3,2,1]=>[2,1,2,2]=>1011010 [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,3,2,1]=>[2,1,2,2]=>1011010 [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,3,3]=>[2,1,2,1,1]=>1011011 [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,3,1,1,1]=>[2,1,4]=>1011000 [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,3,1,2]=>[2,1,3,1]=>1011001 [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,3,1,1,1]=>[2,1,4]=>1011000 [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,3,1,1,1]=>[2,1,4]=>1011000 [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,3,1,2]=>[2,1,3,1]=>1011001 [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,3,1,1,1]=>[2,1,4]=>1011000 [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,3,1,1,1]=>[2,1,4]=>1011000 [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,3,1,1,1]=>[2,1,4]=>1011000 [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,3,1,2]=>[2,1,3,1]=>1011001 [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,3,2,1]=>[2,1,2,2]=>1011010 [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,3,2,1]=>[2,1,2,2]=>1011010 [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,3,2,1]=>[2,1,2,2]=>1011010 [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,3,2,1]=>[2,1,2,2]=>1011010 [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,3]=>[2,1,2,1,1]=>1011011 [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,4,1,1]=>[2,1,1,3]=>1011100 [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,4,2]=>[2,1,1,2,1]=>1011101 [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,4,1,1]=>[2,1,1,3]=>1011100 [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,4,1,1]=>[2,1,1,3]=>1011100 [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,4,2]=>[2,1,1,2,1]=>1011101 [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,4,1,1]=>[2,1,1,3]=>1011100 [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,4,1,1]=>[2,1,1,3]=>1011100 [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,4,1,1]=>[2,1,1,3]=>1011100 [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,4,2]=>[2,1,1,2,1]=>1011101 [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,4,1,1]=>[2,1,1,3]=>1011100 [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,4,1,1]=>[2,1,1,3]=>1011100 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,4,1,1]=>[2,1,1,3]=>1011100 [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,4,1,1]=>[2,1,1,3]=>1011100 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,4,2]=>[2,1,1,2,1]=>1011101 [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,5,1]=>[2,1,1,1,2]=>1011110 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,5,1]=>[2,1,1,1,2]=>1011110 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,5,1]=>[2,1,1,1,2]=>1011110 [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,5,1]=>[2,1,1,1,2]=>1011110 [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,5,1]=>[2,1,1,1,2]=>1011110 [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>[2,1,1,1,1,1]=>1011111 [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1]=>[1,6]=>1100000 [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,1,1,2]=>[1,5,1]=>1100001 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,1,2,1]=>[1,4,2]=>1100010 [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,1,2,1]=>[1,4,2]=>1100010 [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,1,3]=>[1,4,1,1]=>1100011 [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,2,1,1]=>[1,3,3]=>1100100 [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,2,2]=>[1,3,2,1]=>1100101 [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,2,1,1]=>[1,3,3]=>1100100 [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,2,1,1]=>[1,3,3]=>1100100 [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[2,1,2,2]=>[1,3,2,1]=>1100101 [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,3,1]=>[1,3,1,2]=>1100110 [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,3,1]=>[1,3,1,2]=>1100110 [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,3,1]=>[1,3,1,2]=>1100110 [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,4]=>[1,3,1,1,1]=>1100111 [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,2,1,1,1]=>[1,2,4]=>1101000 [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[2,2,1,2]=>[1,2,3,1]=>1101001 [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,2,2,1]=>[1,2,2,2]=>1101010 [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,2,2,1]=>[1,2,2,2]=>1101010 [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,2,3]=>[1,2,2,1,1]=>1101011 [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,2,1,1,1]=>[1,2,4]=>1101000 [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[2,2,1,2]=>[1,2,3,1]=>1101001 [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,2,1,1,1]=>[1,2,4]=>1101000 [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,2,1,1,1]=>[1,2,4]=>1101000 [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,2,1,2]=>[1,2,3,1]=>1101001 [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,2,2,1]=>[1,2,2,2]=>1101010 [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,2,2,1]=>[1,2,2,2]=>1101010 [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,2,2,1]=>[1,2,2,2]=>1101010 [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,2,3]=>[1,2,2,1,1]=>1101011 [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,3,1,1]=>[1,2,1,3]=>1101100 [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,3,2]=>[1,2,1,2,1]=>1101101 [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,3,1,1]=>[1,2,1,3]=>1101100 [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,3,1,1]=>[1,2,1,3]=>1101100 [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,3,2]=>[1,2,1,2,1]=>1101101 [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,3,1,1]=>[1,2,1,3]=>1101100 [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,3,1,1]=>[1,2,1,3]=>1101100 [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,3,1,1]=>[1,2,1,3]=>1101100 [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,3,2]=>[1,2,1,2,1]=>1101101 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,4,1]=>[1,2,1,1,2]=>1101110 [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,4,1]=>[1,2,1,1,2]=>1101110 [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,4,1]=>[1,2,1,1,2]=>1101110 [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,4,1]=>[1,2,1,1,2]=>1101110 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,5]=>[1,2,1,1,1,1]=>1101111 [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1]=>[1,6]=>1100000 [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,1,1,2]=>[1,5,1]=>1100001 [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,1,2,1]=>[1,4,2]=>1100010 [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,1,2,1]=>[1,4,2]=>1100010 [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,1,3]=>[1,4,1,1]=>1100011 [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,2,1,1]=>[1,3,3]=>1100100 [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,2,2]=>[1,3,2,1]=>1100101 [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,2,1,1]=>[1,3,3]=>1100100 [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,2,1,1]=>[1,3,3]=>1100100 [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,2,2]=>[1,3,2,1]=>1100101 [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,3,1]=>[1,3,1,2]=>1100110 [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,3,1]=>[1,3,1,2]=>1100110 [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,3,1]=>[1,3,1,2]=>1100110 [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4]=>[1,3,1,1,1]=>1100111 [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,1,1,1,1,1]=>[1,6]=>1100000 [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,1,1,1,2]=>[1,5,1]=>1100001 [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,1,1,2,1]=>[1,4,2]=>1100010 [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,1,1,2,1]=>[1,4,2]=>1100010 [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,1,1,3]=>[1,4,1,1]=>1100011 [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,1,1,1,1,1]=>[1,6]=>1100000 [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,1,1,1,2]=>[1,5,1]=>1100001 [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,1,1,1,1]=>[1,6]=>1100000 [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,1,1,1,1]=>[1,6]=>1100000 [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,1,1,1,2]=>[1,5,1]=>1100001 [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,1,1,2,1]=>[1,4,2]=>1100010 [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,1,1,2,1]=>[1,4,2]=>1100010 [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,1,1,2,1]=>[1,4,2]=>1100010 [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,1,3]=>[1,4,1,1]=>1100011 [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,1,2,1,1]=>[1,3,3]=>1100100 [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,1,2,2]=>[1,3,2,1]=>1100101 [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,1,2,1,1]=>[1,3,3]=>1100100 [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,1,2,1,1]=>[1,3,3]=>1100100 [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,1,2,2]=>[1,3,2,1]=>1100101 [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,1,2,1,1]=>[1,3,3]=>1100100 [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,1,2,1,1]=>[1,3,3]=>1100100 [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,1,2,1,1]=>[1,3,3]=>1100100 [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,2,2]=>[1,3,2,1]=>1100101 [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,1,3,1]=>[1,3,1,2]=>1100110 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,1,3,1]=>[1,3,1,2]=>1100110 [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,1,3,1]=>[1,3,1,2]=>1100110 [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,1,3,1]=>[1,3,1,2]=>1100110 [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4]=>[1,3,1,1,1]=>1100111 [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,2,1,1,1]=>[1,2,4]=>1101000 [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,2,1,2]=>[1,2,3,1]=>1101001 [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,2,2,1]=>[1,2,2,2]=>1101010 [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,2,2,1]=>[1,2,2,2]=>1101010 [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,2,3]=>[1,2,2,1,1]=>1101011 [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,2,1,1,1]=>[1,2,4]=>1101000 [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,2,1,2]=>[1,2,3,1]=>1101001 [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,2,1,1,1]=>[1,2,4]=>1101000 [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,2,1,1,1]=>[1,2,4]=>1101000 [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,2,1,2]=>[1,2,3,1]=>1101001 [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,2,2,1]=>[1,2,2,2]=>1101010 [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,2,2,1]=>[1,2,2,2]=>1101010 [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,2,2,1]=>[1,2,2,2]=>1101010 [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,2,3]=>[1,2,2,1,1]=>1101011 [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,2,1,1,1]=>[1,2,4]=>1101000 [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,2,1,2]=>[1,2,3,1]=>1101001 [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,2,1,1,1]=>[1,2,4]=>1101000 [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,2,1,1,1]=>[1,2,4]=>1101000 [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,2,1,2]=>[1,2,3,1]=>1101001 [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,2,1,1,1]=>[1,2,4]=>1101000 [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,2,1,1,1]=>[1,2,4]=>1101000 [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,2,1,1,1]=>[1,2,4]=>1101000 [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,2,1,2]=>[1,2,3,1]=>1101001 [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,2,2,1]=>[1,2,2,2]=>1101010 [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,2,2,1]=>[1,2,2,2]=>1101010 [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,2,2,1]=>[1,2,2,2]=>1101010 [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,2,2,1]=>[1,2,2,2]=>1101010 [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,2,3]=>[1,2,2,1,1]=>1101011 [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,3,1,1]=>[1,2,1,3]=>1101100 [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,3,2]=>[1,2,1,2,1]=>1101101 [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,3,1,1]=>[1,2,1,3]=>1101100 [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,3,1,1]=>[1,2,1,3]=>1101100 [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,3,2]=>[1,2,1,2,1]=>1101101 [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,3,1,1]=>[1,2,1,3]=>1101100 [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,3,1,1]=>[1,2,1,3]=>1101100 [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,3,1,1]=>[1,2,1,3]=>1101100 [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,2]=>[1,2,1,2,1]=>1101101 [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,3,1,1]=>[1,2,1,3]=>1101100 [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,3,1,1]=>[1,2,1,3]=>1101100 [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,3,1,1]=>[1,2,1,3]=>1101100 [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,3,1,1]=>[1,2,1,3]=>1101100 [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,2]=>[1,2,1,2,1]=>1101101 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,4,1]=>[1,2,1,1,2]=>1101110 [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,4,1]=>[1,2,1,1,2]=>1101110 [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,4,1]=>[1,2,1,1,2]=>1101110 [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,4,1]=>[1,2,1,1,2]=>1101110 [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,4,1]=>[1,2,1,1,2]=>1101110 [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,5]=>[1,2,1,1,1,1]=>1101111 [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1]=>[1,1,5]=>1110000 [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,1,1,2]=>[1,1,4,1]=>1110001 [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[3,1,2,1]=>[1,1,3,2]=>1110010 [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,1,2,1]=>[1,1,3,2]=>1110010 [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,1,3]=>[1,1,3,1,1]=>1110011 [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[3,2,1,1]=>[1,1,2,3]=>1110100 [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,2,2]=>[1,1,2,2,1]=>1110101 [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[3,2,1,1]=>[1,1,2,3]=>1110100 [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,2,1,1]=>[1,1,2,3]=>1110100 [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,2,2]=>[1,1,2,2,1]=>1110101 [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[3,3,1]=>[1,1,2,1,2]=>1110110 [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,3,1]=>[1,1,2,1,2]=>1110110 [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,3,1]=>[1,1,2,1,2]=>1110110 [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,4]=>[1,1,2,1,1,1]=>1110111 [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,1,1,1,1]=>[1,1,5]=>1110000 [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[3,1,1,2]=>[1,1,4,1]=>1110001 [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,1,2,1]=>[1,1,3,2]=>1110010 [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[3,1,2,1]=>[1,1,3,2]=>1110010 [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,1,3]=>[1,1,3,1,1]=>1110011 [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,1,1,1,1]=>[1,1,5]=>1110000 [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,1,1,2]=>[1,1,4,1]=>1110001 [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,1,1,1,1]=>[1,1,5]=>1110000 [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,1,1,1,1]=>[1,1,5]=>1110000 [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,1,1,2]=>[1,1,4,1]=>1110001 [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,1,2,1]=>[1,1,3,2]=>1110010 [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,1,2,1]=>[1,1,3,2]=>1110010 [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,1,2,1]=>[1,1,3,2]=>1110010 [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,1,3]=>[1,1,3,1,1]=>1110011 [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[3,2,1,1]=>[1,1,2,3]=>1110100 [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,2,2]=>[1,1,2,2,1]=>1110101 [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,2,1,1]=>[1,1,2,3]=>1110100 [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,2,1,1]=>[1,1,2,3]=>1110100 [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,2,2]=>[1,1,2,2,1]=>1110101 [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,2,1,1]=>[1,1,2,3]=>1110100 [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,2,1,1]=>[1,1,2,3]=>1110100 [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,2,1,1]=>[1,1,2,3]=>1110100 [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,2,2]=>[1,1,2,2,1]=>1110101 [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,3,1]=>[1,1,2,1,2]=>1110110 [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,3,1]=>[1,1,2,1,2]=>1110110 [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,3,1]=>[1,1,2,1,2]=>1110110 [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,3,1]=>[1,1,2,1,2]=>1110110 [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4]=>[1,1,2,1,1,1]=>1110111 [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,1,1,1,1]=>[1,1,5]=>1110000 [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[3,1,1,2]=>[1,1,4,1]=>1110001 [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[3,1,2,1]=>[1,1,3,2]=>1110010 [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[3,1,2,1]=>[1,1,3,2]=>1110010 [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,1,3]=>[1,1,3,1,1]=>1110011 [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,1,1,1,1]=>[1,1,5]=>1110000 [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[3,1,1,2]=>[1,1,4,1]=>1110001 [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[3,1,1,1,1]=>[1,1,5]=>1110000 [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,1,1,1,1]=>[1,1,5]=>1110000 [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[3,1,1,2]=>[1,1,4,1]=>1110001 [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[3,1,2,1]=>[1,1,3,2]=>1110010 [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[3,1,2,1]=>[1,1,3,2]=>1110010 [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[3,1,2,1]=>[1,1,3,2]=>1110010 [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,1,3]=>[1,1,3,1,1]=>1110011 [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,1,1,1,1]=>[1,1,5]=>1110000 [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[3,1,1,2]=>[1,1,4,1]=>1110001 [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[3,1,1,1,1]=>[1,1,5]=>1110000 [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,1,1,1,1]=>[1,1,5]=>1110000 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[3,1,1,2]=>[1,1,4,1]=>1110001 [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,1,1,1,1]=>[1,1,5]=>1110000 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,1,1,1,1]=>[1,1,5]=>1110000 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,1,1,1,1]=>[1,1,5]=>1110000 [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,1,1,2]=>[1,1,4,1]=>1110001 [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[3,1,2,1]=>[1,1,3,2]=>1110010 [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,1,2,1]=>[1,1,3,2]=>1110010 [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[3,1,2,1]=>[1,1,3,2]=>1110010 [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,1,2,1]=>[1,1,3,2]=>1110010 [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,3]=>[1,1,3,1,1]=>1110011 [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[3,2,1,1]=>[1,1,2,3]=>1110100 [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[3,2,2]=>[1,1,2,2,1]=>1110101 [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,2,1,1]=>[1,1,2,3]=>1110100 [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,2,1,1]=>[1,1,2,3]=>1110100 [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,2,2]=>[1,1,2,2,1]=>1110101 [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[3,2,1,1]=>[1,1,2,3]=>1110100 [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,2,1,1]=>[1,1,2,3]=>1110100 [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,2,1,1]=>[1,1,2,3]=>1110100 [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,2,2]=>[1,1,2,2,1]=>1110101 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[3,2,1,1]=>[1,1,2,3]=>1110100 [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[3,2,1,1]=>[1,1,2,3]=>1110100 [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[3,2,1,1]=>[1,1,2,3]=>1110100 [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,2,1,1]=>[1,1,2,3]=>1110100 [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,2,2]=>[1,1,2,2,1]=>1110101 [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,3,1]=>[1,1,2,1,2]=>1110110 [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,3,1]=>[1,1,2,1,2]=>1110110 [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,3,1]=>[1,1,2,1,2]=>1110110 [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,3,1]=>[1,1,2,1,2]=>1110110 [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,3,1]=>[1,1,2,1,2]=>1110110 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4]=>[1,1,2,1,1,1]=>1110111 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,1,1,1]=>[1,1,1,4]=>1111000 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[4,1,2]=>[1,1,1,3,1]=>1111001 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,2,1]=>[1,1,1,2,2]=>1111010 [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,2,1]=>[1,1,1,2,2]=>1111010 [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,3]=>[1,1,1,2,1,1]=>1111011 [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[4,1,1,1]=>[1,1,1,4]=>1111000 [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[4,1,2]=>[1,1,1,3,1]=>1111001 [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[4,1,1,1]=>[1,1,1,4]=>1111000 [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[4,1,1,1]=>[1,1,1,4]=>1111000 [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[4,1,2]=>[1,1,1,3,1]=>1111001 [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,2,1]=>[1,1,1,2,2]=>1111010 [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[4,2,1]=>[1,1,1,2,2]=>1111010 [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,2,1]=>[1,1,1,2,2]=>1111010 [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3]=>[1,1,1,2,1,1]=>1111011 [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[4,1,1,1]=>[1,1,1,4]=>1111000 [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[4,1,2]=>[1,1,1,3,1]=>1111001 [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[4,1,1,1]=>[1,1,1,4]=>1111000 [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[4,1,1,1]=>[1,1,1,4]=>1111000 [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[4,1,2]=>[1,1,1,3,1]=>1111001 [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[4,1,1,1]=>[1,1,1,4]=>1111000 [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[4,1,1,1]=>[1,1,1,4]=>1111000 [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[4,1,1,1]=>[1,1,1,4]=>1111000 [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,2]=>[1,1,1,3,1]=>1111001 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,2,1]=>[1,1,1,2,2]=>1111010 [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[4,2,1]=>[1,1,1,2,2]=>1111010 [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,2,1]=>[1,1,1,2,2]=>1111010 [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,2,1]=>[1,1,1,2,2]=>1111010 [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3]=>[1,1,1,2,1,1]=>1111011 [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[4,1,1,1]=>[1,1,1,4]=>1111000 [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[4,1,2]=>[1,1,1,3,1]=>1111001 [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[4,1,1,1]=>[1,1,1,4]=>1111000 [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[4,1,1,1]=>[1,1,1,4]=>1111000 [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[4,1,2]=>[1,1,1,3,1]=>1111001 [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[4,1,1,1]=>[1,1,1,4]=>1111000 [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[4,1,1,1]=>[1,1,1,4]=>1111000 [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[4,1,1,1]=>[1,1,1,4]=>1111000 [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,1,2]=>[1,1,1,3,1]=>1111001 [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[4,1,1,1]=>[1,1,1,4]=>1111000 [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[4,1,1,1]=>[1,1,1,4]=>1111000 [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[4,1,1,1]=>[1,1,1,4]=>1111000 [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[4,1,1,1]=>[1,1,1,4]=>1111000 [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,2]=>[1,1,1,3,1]=>1111001 [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,2,1]=>[1,1,1,2,2]=>1111010 [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,2,1]=>[1,1,1,2,2]=>1111010 [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,2,1]=>[1,1,1,2,2]=>1111010 [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,2,1]=>[1,1,1,2,2]=>1111010 [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,2,1]=>[1,1,1,2,2]=>1111010 [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,3]=>[1,1,1,2,1,1]=>1111011 [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,1,1]=>[1,1,1,1,3]=>1111100 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,2]=>[1,1,1,1,2,1]=>1111101 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,1]=>[1,1,1,1,3]=>1111100 [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,1,1]=>[1,1,1,1,3]=>1111100 [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,2]=>[1,1,1,1,2,1]=>1111101 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,1]=>[1,1,1,1,3]=>1111100 [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,1,1]=>[1,1,1,1,3]=>1111100 [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,1,1]=>[1,1,1,1,3]=>1111100 [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,2]=>[1,1,1,1,2,1]=>1111101 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,1,1]=>[1,1,1,1,3]=>1111100 [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,1,1]=>[1,1,1,1,3]=>1111100 [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,1,1]=>[1,1,1,1,3]=>1111100 [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,1,1]=>[1,1,1,1,3]=>1111100 [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,2]=>[1,1,1,1,2,1]=>1111101 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,1,1]=>[1,1,1,1,3]=>1111100 [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,1,1]=>[1,1,1,1,3]=>1111100 [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,1,1]=>[1,1,1,1,3]=>1111100 [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,1,1]=>[1,1,1,1,3]=>1111100 [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,1,1]=>[1,1,1,1,3]=>1111100 [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,2]=>[1,1,1,1,2,1]=>1111101 [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>[1,1,1,1,1,2]=>1111110 [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1]=>[1,1,1,1,1,2]=>1111110 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1]=>[1,1,1,1,1,2]=>1111110 [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1]=>[1,1,1,1,1,2]=>1111110 [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1]=>[1,1,1,1,1,2]=>1111110 [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,1]=>[1,1,1,1,1,2]=>1111110 [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>[1,1,1,1,1,1,1]=>1111111 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,1,1]=>[8]=>10000000 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,1,1,2]=>[7,1]=>10000001 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,1,2,1]=>[6,2]=>10000010 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,1,2,1]=>[6,2]=>10000010 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,1,3]=>[6,1,1]=>10000011 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,2,1,1]=>[5,3]=>10000100 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,2,2]=>[5,2,1]=>10000101 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,2,1,1]=>[5,3]=>10000100 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,2,1,1]=>[5,3]=>10000100 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,2,2]=>[5,2,1]=>10000101 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,3,1]=>[5,1,2]=>10000110 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,3,1]=>[5,1,2]=>10000110 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,3,1]=>[5,1,2]=>10000110 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,4]=>[5,1,1,1]=>10000111 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,2,1,1,1]=>[4,4]=>10001000 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,2,1,2]=>[4,3,1]=>10001001 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,2,2,1]=>[4,2,2]=>10001010 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,2,2,1]=>[4,2,2]=>10001010 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,1,2,3]=>[4,2,1,1]=>10001011 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,2,1,1,1]=>[4,4]=>10001000 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,2,1,2]=>[4,3,1]=>10001001 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,2,1,1,1]=>[4,4]=>10001000 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,2,1,1,1]=>[4,4]=>10001000 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,2,1,2]=>[4,3,1]=>10001001 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,2,2,1]=>[4,2,2]=>10001010 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,2,2,1]=>[4,2,2]=>10001010 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,2,2,1]=>[4,2,2]=>10001010 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,2,3]=>[4,2,1,1]=>10001011 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,3,1,1]=>[4,1,3]=>10001100 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,3,2]=>[4,1,2,1]=>10001101 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,3,1,1]=>[4,1,3]=>10001100 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,3,1,1]=>[4,1,3]=>10001100 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,3,2]=>[4,1,2,1]=>10001101 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,3,1,1]=>[4,1,3]=>10001100 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,3,1,1]=>[4,1,3]=>10001100 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,3,1,1]=>[4,1,3]=>10001100 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,3,2]=>[4,1,2,1]=>10001101 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,4,1]=>[4,1,1,2]=>10001110 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,4,1]=>[4,1,1,2]=>10001110 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,4,1]=>[4,1,1,2]=>10001110 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,4,1]=>[4,1,1,2]=>10001110 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,5]=>[4,1,1,1,1]=>10001111 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,2,1,1,1,1]=>[3,5]=>10010000 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,2,1,1,2]=>[3,4,1]=>10010001 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,2,1,2,1]=>[3,3,2]=>10010010 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,2,1,2,1]=>[3,3,2]=>10010010 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,2,1,3]=>[3,3,1,1]=>10010011 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,2,2,1,1]=>[3,2,3]=>10010100 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,2,2,2]=>[3,2,2,1]=>10010101 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,2,2,1,1]=>[3,2,3]=>10010100 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,2,2,1,1]=>[3,2,3]=>10010100 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,2,2,2]=>[3,2,2,1]=>10010101 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,2,3,1]=>[3,2,1,2]=>10010110 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,2,3,1]=>[3,2,1,2]=>10010110 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,2,3,1]=>[3,2,1,2]=>10010110 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,2,4]=>[3,2,1,1,1]=>10010111 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,2,1,1,1,1]=>[3,5]=>10010000 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,2,1,1,2]=>[3,4,1]=>10010001 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,2,1,2,1]=>[3,3,2]=>10010010 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,2,1,2,1]=>[3,3,2]=>10010010 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,2,1,3]=>[3,3,1,1]=>10010011 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,2,1,1,1,1]=>[3,5]=>10010000 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,2,1,1,2]=>[3,4,1]=>10010001 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,2,1,1,1,1]=>[3,5]=>10010000 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,2,1,1,1,1]=>[3,5]=>10010000 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,2,1,1,2]=>[3,4,1]=>10010001 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,2,1,2,1]=>[3,3,2]=>10010010 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,2,1,2,1]=>[3,3,2]=>10010010 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,2,1,2,1]=>[3,3,2]=>10010010 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,2,1,3]=>[3,3,1,1]=>10010011 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,2,2,1,1]=>[3,2,3]=>10010100 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,2,2,2]=>[3,2,2,1]=>10010101 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,2,2,1,1]=>[3,2,3]=>10010100 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,2,2,1,1]=>[3,2,3]=>10010100 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,2,2,2]=>[3,2,2,1]=>10010101 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,2,2,1,1]=>[3,2,3]=>10010100 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,2,2,1,1]=>[3,2,3]=>10010100 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,2,2,1,1]=>[3,2,3]=>10010100 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,2,2,2]=>[3,2,2,1]=>10010101 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,2,3,1]=>[3,2,1,2]=>10010110 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,2,3,1]=>[3,2,1,2]=>10010110 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,2,3,1]=>[3,2,1,2]=>10010110 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,2,3,1]=>[3,2,1,2]=>10010110 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,2,4]=>[3,2,1,1,1]=>10010111 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,3,1,1,1]=>[3,1,4]=>10011000 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,3,1,2]=>[3,1,3,1]=>10011001 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,3,2,1]=>[3,1,2,2]=>10011010 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,3,2,1]=>[3,1,2,2]=>10011010 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,3,3]=>[3,1,2,1,1]=>10011011 [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,3,1,1,1]=>[3,1,4]=>10011000 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,3,1,2]=>[3,1,3,1]=>10011001 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,3,1,1,1]=>[3,1,4]=>10011000 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,3,1,1,1]=>[3,1,4]=>10011000 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,3,1,2]=>[3,1,3,1]=>10011001 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,3,2,1]=>[3,1,2,2]=>10011010 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,3,2,1]=>[3,1,2,2]=>10011010 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,3,2,1]=>[3,1,2,2]=>10011010 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,3,3]=>[3,1,2,1,1]=>10011011 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,3,1,1,1]=>[3,1,4]=>10011000 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,3,1,2]=>[3,1,3,1]=>10011001 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,3,1,1,1]=>[3,1,4]=>10011000 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,3,1,1,1]=>[3,1,4]=>10011000 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,3,1,2]=>[3,1,3,1]=>10011001 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,3,1,1,1]=>[3,1,4]=>10011000 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,3,1,1,1]=>[3,1,4]=>10011000 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,3,1,1,1]=>[3,1,4]=>10011000 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,3,1,2]=>[3,1,3,1]=>10011001 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,3,2,1]=>[3,1,2,2]=>10011010 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,3,2,1]=>[3,1,2,2]=>10011010 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,3,2,1]=>[3,1,2,2]=>10011010 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,3,2,1]=>[3,1,2,2]=>10011010 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,3,3]=>[3,1,2,1,1]=>10011011 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,4,1,1]=>[3,1,1,3]=>10011100 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,4,2]=>[3,1,1,2,1]=>10011101 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,4,1,1]=>[3,1,1,3]=>10011100 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,4,1,1]=>[3,1,1,3]=>10011100 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,4,2]=>[3,1,1,2,1]=>10011101 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,4,1,1]=>[3,1,1,3]=>10011100 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,4,1,1]=>[3,1,1,3]=>10011100 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,4,1,1]=>[3,1,1,3]=>10011100 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,4,2]=>[3,1,1,2,1]=>10011101 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,4,1,1]=>[3,1,1,3]=>10011100 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,4,1,1]=>[3,1,1,3]=>10011100 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,4,1,1]=>[3,1,1,3]=>10011100 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,4,1,1]=>[3,1,1,3]=>10011100 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,4,2]=>[3,1,1,2,1]=>10011101 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,5,1]=>[3,1,1,1,2]=>10011110 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,5,1]=>[3,1,1,1,2]=>10011110 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,5,1]=>[3,1,1,1,2]=>10011110 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,5,1]=>[3,1,1,1,2]=>10011110 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,5,1]=>[3,1,1,1,2]=>10011110 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>[3,1,1,1,1,1]=>10011111 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,1,1,1,1,1]=>[2,6]=>10100000 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,1,1,1,2]=>[2,5,1]=>10100001 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,1,1,2,1]=>[2,4,2]=>10100010 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,1,1,2,1]=>[2,4,2]=>10100010 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,1,1,3]=>[2,4,1,1]=>10100011 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,1,2,1,1]=>[2,3,3]=>10100100 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,1,2,2]=>[2,3,2,1]=>10100101 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,1,2,1,1]=>[2,3,3]=>10100100 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,1,2,1,1]=>[2,3,3]=>10100100 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,1,2,2]=>[2,3,2,1]=>10100101 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,1,3,1]=>[2,3,1,2]=>10100110 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,1,3,1]=>[2,3,1,2]=>10100110 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,1,3,1]=>[2,3,1,2]=>10100110 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,1,4]=>[2,3,1,1,1]=>10100111 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,2,1,1,1]=>[2,2,4]=>10101000 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,2,1,2]=>[2,2,3,1]=>10101001 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,2,2,1]=>[2,2,2,2]=>10101010 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,2,2,1]=>[2,2,2,2]=>10101010 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,2,3]=>[2,2,2,1,1]=>10101011 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,2,1,1,1]=>[2,2,4]=>10101000 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,2,1,2]=>[2,2,3,1]=>10101001 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,2,1,1,1]=>[2,2,4]=>10101000 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,2,1,1,1]=>[2,2,4]=>10101000 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,2,1,2]=>[2,2,3,1]=>10101001 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,2,2,1]=>[2,2,2,2]=>10101010 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,2,2,1]=>[2,2,2,2]=>10101010 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,2,2,1]=>[2,2,2,2]=>10101010 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,2,3]=>[2,2,2,1,1]=>10101011 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,3,1,1]=>[2,2,1,3]=>10101100 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,3,2]=>[2,2,1,2,1]=>10101101 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,3,1,1]=>[2,2,1,3]=>10101100 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,3,1,1]=>[2,2,1,3]=>10101100 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,3,2]=>[2,2,1,2,1]=>10101101 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,3,1,1]=>[2,2,1,3]=>10101100 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,3,1,1]=>[2,2,1,3]=>10101100 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,3,1,1]=>[2,2,1,3]=>10101100 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,3,2]=>[2,2,1,2,1]=>10101101 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,4,1]=>[2,2,1,1,2]=>10101110 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,4,1]=>[2,2,1,1,2]=>10101110 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,4,1]=>[2,2,1,1,2]=>10101110 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,4,1]=>[2,2,1,1,2]=>10101110 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,5]=>[2,2,1,1,1,1]=>10101111 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,1,1,1,1,1]=>[2,6]=>10100000 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,2,1,1,1,2]=>[2,5,1]=>10100001 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,2,1,1,2,1]=>[2,4,2]=>10100010 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,2,1,1,2,1]=>[2,4,2]=>10100010 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,2,1,1,3]=>[2,4,1,1]=>10100011 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,2,1,2,1,1]=>[2,3,3]=>10100100 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,1,2,2]=>[2,3,2,1]=>10100101 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,2,1,2,1,1]=>[2,3,3]=>10100100 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,2,1,2,1,1]=>[2,3,3]=>10100100 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,2,1,2,2]=>[2,3,2,1]=>10100101 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,2,1,3,1]=>[2,3,1,2]=>10100110 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,2,1,3,1]=>[2,3,1,2]=>10100110 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,2,1,3,1]=>[2,3,1,2]=>10100110 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,1,4]=>[2,3,1,1,1]=>10100111 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,2,1,1,1,1,1]=>[2,6]=>10100000 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,2,1,1,1,2]=>[2,5,1]=>10100001 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,2,1,1,2,1]=>[2,4,2]=>10100010 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,2,1,1,2,1]=>[2,4,2]=>10100010 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,2,1,1,3]=>[2,4,1,1]=>10100011 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,2,1,1,1,1,1]=>[2,6]=>10100000 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,2,1,1,1,2]=>[2,5,1]=>10100001 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,2,1,1,1,1,1]=>[2,6]=>10100000 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,1,1,1,1,1]=>[2,6]=>10100000 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,2,1,1,1,2]=>[2,5,1]=>10100001 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,2,1,1,2,1]=>[2,4,2]=>10100010 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,2,1,1,2,1]=>[2,4,2]=>10100010 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,2,1,1,2,1]=>[2,4,2]=>10100010 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,2,1,1,3]=>[2,4,1,1]=>10100011 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,2,1,2,1,1]=>[2,3,3]=>10100100 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,2,1,2,2]=>[2,3,2,1]=>10100101 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,2,1,2,1,1]=>[2,3,3]=>10100100 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,2,1,2,1,1]=>[2,3,3]=>10100100 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,2,1,2,2]=>[2,3,2,1]=>10100101 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,2,1,2,1,1]=>[2,3,3]=>10100100 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,2,1,2,1,1]=>[2,3,3]=>10100100 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,2,1,2,1,1]=>[2,3,3]=>10100100 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,2,1,2,2]=>[2,3,2,1]=>10100101 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,2,1,3,1]=>[2,3,1,2]=>10100110 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,2,1,3,1]=>[2,3,1,2]=>10100110 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,2,1,3,1]=>[2,3,1,2]=>10100110 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,2,1,3,1]=>[2,3,1,2]=>10100110 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,1,4]=>[2,3,1,1,1]=>10100111 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,2,2,1,1,1]=>[2,2,4]=>10101000 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,2,2,1,2]=>[2,2,3,1]=>10101001 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,2,2,2,1]=>[2,2,2,2]=>10101010 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,2,2,2,1]=>[2,2,2,2]=>10101010 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,2,2,3]=>[2,2,2,1,1]=>10101011 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,2,2,1,1,1]=>[2,2,4]=>10101000 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,2,2,1,2]=>[2,2,3,1]=>10101001 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,2,2,1,1,1]=>[2,2,4]=>10101000 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,2,2,1,1,1]=>[2,2,4]=>10101000 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,2,2,1,2]=>[2,2,3,1]=>10101001 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,2,2,2,1]=>[2,2,2,2]=>10101010 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,2,2,2,1]=>[2,2,2,2]=>10101010 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,2,2,2,1]=>[2,2,2,2]=>10101010 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,2,2,3]=>[2,2,2,1,1]=>10101011 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,2,2,1,1,1]=>[2,2,4]=>10101000 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,2,2,1,2]=>[2,2,3,1]=>10101001 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,2,2,1,1,1]=>[2,2,4]=>10101000 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,2,2,1,1,1]=>[2,2,4]=>10101000 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,2,2,1,2]=>[2,2,3,1]=>10101001 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,2,2,1,1,1]=>[2,2,4]=>10101000 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,2,2,1,1,1]=>[2,2,4]=>10101000 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,2,2,1,1,1]=>[2,2,4]=>10101000 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,2,2,1,2]=>[2,2,3,1]=>10101001 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,2,2,2,1]=>[2,2,2,2]=>10101010 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,2,2,2,1]=>[2,2,2,2]=>10101010 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,2,2,2,1]=>[2,2,2,2]=>10101010 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,2,2,2,1]=>[2,2,2,2]=>10101010 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,2,2,3]=>[2,2,2,1,1]=>10101011 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,2,3,1,1]=>[2,2,1,3]=>10101100 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,2,3,2]=>[2,2,1,2,1]=>10101101 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,2,3,1,1]=>[2,2,1,3]=>10101100 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,2,3,1,1]=>[2,2,1,3]=>10101100 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,2,3,2]=>[2,2,1,2,1]=>10101101 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,2,3,1,1]=>[2,2,1,3]=>10101100 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,2,3,1,1]=>[2,2,1,3]=>10101100 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,2,3,1,1]=>[2,2,1,3]=>10101100 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,2,3,2]=>[2,2,1,2,1]=>10101101 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,2,3,1,1]=>[2,2,1,3]=>10101100 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,2,3,1,1]=>[2,2,1,3]=>10101100 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,2,3,1,1]=>[2,2,1,3]=>10101100 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,2,3,1,1]=>[2,2,1,3]=>10101100 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,2,3,2]=>[2,2,1,2,1]=>10101101 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,2,4,1]=>[2,2,1,1,2]=>10101110 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,2,4,1]=>[2,2,1,1,2]=>10101110 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,4,1]=>[2,2,1,1,2]=>10101110 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,2,4,1]=>[2,2,1,1,2]=>10101110 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,4,1]=>[2,2,1,1,2]=>10101110 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,5]=>[2,2,1,1,1,1]=>10101111 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,3,1,1,1,1]=>[2,1,5]=>10110000 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,3,1,1,2]=>[2,1,4,1]=>10110001 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,3,1,2,1]=>[2,1,3,2]=>10110010 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,3,1,2,1]=>[2,1,3,2]=>10110010 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,3,1,3]=>[2,1,3,1,1]=>10110011 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,3,2,1,1]=>[2,1,2,3]=>10110100 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,2]=>[2,1,2,2,1]=>10110101 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,3,2,1,1]=>[2,1,2,3]=>10110100 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,3,2,1,1]=>[2,1,2,3]=>10110100 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,3,2,2]=>[2,1,2,2,1]=>10110101 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,3,3,1]=>[2,1,2,1,2]=>10110110 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,3,3,1]=>[2,1,2,1,2]=>10110110 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,3,3,1]=>[2,1,2,1,2]=>10110110 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,3,4]=>[2,1,2,1,1,1]=>10110111 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,3,1,1,1,1]=>[2,1,5]=>10110000 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,3,1,1,2]=>[2,1,4,1]=>10110001 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,3,1,2,1]=>[2,1,3,2]=>10110010 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,3,1,2,1]=>[2,1,3,2]=>10110010 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,3,1,3]=>[2,1,3,1,1]=>10110011 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,3,1,1,1,1]=>[2,1,5]=>10110000 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[1,3,1,1,2]=>[2,1,4,1]=>10110001 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,3,1,1,1,1]=>[2,1,5]=>10110000 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,3,1,1,1,1]=>[2,1,5]=>10110000 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,3,1,1,2]=>[2,1,4,1]=>10110001 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,3,1,2,1]=>[2,1,3,2]=>10110010 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,3,1,2,1]=>[2,1,3,2]=>10110010 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,3,1,2,1]=>[2,1,3,2]=>10110010 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,3,1,3]=>[2,1,3,1,1]=>10110011 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,3,2,1,1]=>[2,1,2,3]=>10110100 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,3,2,2]=>[2,1,2,2,1]=>10110101 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,3,2,1,1]=>[2,1,2,3]=>10110100 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,3,2,1,1]=>[2,1,2,3]=>10110100 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,3,2,2]=>[2,1,2,2,1]=>10110101 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,3,2,1,1]=>[2,1,2,3]=>10110100 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,3,2,1,1]=>[2,1,2,3]=>10110100 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,3,2,1,1]=>[2,1,2,3]=>10110100 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,3,2,2]=>[2,1,2,2,1]=>10110101 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,3,3,1]=>[2,1,2,1,2]=>10110110 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,3,3,1]=>[2,1,2,1,2]=>10110110 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,3,3,1]=>[2,1,2,1,2]=>10110110 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,3,3,1]=>[2,1,2,1,2]=>10110110 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,3,4]=>[2,1,2,1,1,1]=>10110111 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,3,1,1,1,1]=>[2,1,5]=>10110000 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,3,1,1,2]=>[2,1,4,1]=>10110001 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,3,1,2,1]=>[2,1,3,2]=>10110010 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,3,1,2,1]=>[2,1,3,2]=>10110010 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,3,1,3]=>[2,1,3,1,1]=>10110011 [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,3,1,1,1,1]=>[2,1,5]=>10110000 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,3,1,1,2]=>[2,1,4,1]=>10110001 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,3,1,1,1,1]=>[2,1,5]=>10110000 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,3,1,1,1,1]=>[2,1,5]=>10110000 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,3,1,1,2]=>[2,1,4,1]=>10110001 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,3,1,2,1]=>[2,1,3,2]=>10110010 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,3,1,2,1]=>[2,1,3,2]=>10110010 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,3,1,2,1]=>[2,1,3,2]=>10110010 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,3,1,3]=>[2,1,3,1,1]=>10110011 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,3,1,1,1,1]=>[2,1,5]=>10110000 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,3,1,1,2]=>[2,1,4,1]=>10110001 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,3,1,1,1,1]=>[2,1,5]=>10110000 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,3,1,1,1,1]=>[2,1,5]=>10110000 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,3,1,1,2]=>[2,1,4,1]=>10110001 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,3,1,1,1,1]=>[2,1,5]=>10110000 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,3,1,1,1,1]=>[2,1,5]=>10110000 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,3,1,1,1,1]=>[2,1,5]=>10110000 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,3,1,1,2]=>[2,1,4,1]=>10110001 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,3,1,2,1]=>[2,1,3,2]=>10110010 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,3,1,2,1]=>[2,1,3,2]=>10110010 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,3,1,2,1]=>[2,1,3,2]=>10110010 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,3,1,2,1]=>[2,1,3,2]=>10110010 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,3,1,3]=>[2,1,3,1,1]=>10110011 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,3,2,1,1]=>[2,1,2,3]=>10110100 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,3,2,2]=>[2,1,2,2,1]=>10110101 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,3,2,1,1]=>[2,1,2,3]=>10110100 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,3,2,1,1]=>[2,1,2,3]=>10110100 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,3,2,2]=>[2,1,2,2,1]=>10110101 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,3,2,1,1]=>[2,1,2,3]=>10110100 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,3,2,1,1]=>[2,1,2,3]=>10110100 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,3,2,1,1]=>[2,1,2,3]=>10110100 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,3,2,2]=>[2,1,2,2,1]=>10110101 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,3,2,1,1]=>[2,1,2,3]=>10110100 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,3,2,1,1]=>[2,1,2,3]=>10110100 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,3,2,1,1]=>[2,1,2,3]=>10110100 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,3,2,1,1]=>[2,1,2,3]=>10110100 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,3,2,2]=>[2,1,2,2,1]=>10110101 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,3,3,1]=>[2,1,2,1,2]=>10110110 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,3,3,1]=>[2,1,2,1,2]=>10110110 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,3,3,1]=>[2,1,2,1,2]=>10110110 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,3,3,1]=>[2,1,2,1,2]=>10110110 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,3,3,1]=>[2,1,2,1,2]=>10110110 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4]=>[2,1,2,1,1,1]=>10110111 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,4,1,1,1]=>[2,1,1,4]=>10111000 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,4,1,2]=>[2,1,1,3,1]=>10111001 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,4,2,1]=>[2,1,1,2,2]=>10111010 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,4,2,1]=>[2,1,1,2,2]=>10111010 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,4,3]=>[2,1,1,2,1,1]=>10111011 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,4,1,1,1]=>[2,1,1,4]=>10111000 [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,4,1,2]=>[2,1,1,3,1]=>10111001 [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,4,1,1,1]=>[2,1,1,4]=>10111000 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,4,1,1,1]=>[2,1,1,4]=>10111000 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,4,1,2]=>[2,1,1,3,1]=>10111001 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,4,2,1]=>[2,1,1,2,2]=>10111010 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,4,2,1]=>[2,1,1,2,2]=>10111010 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,4,2,1]=>[2,1,1,2,2]=>10111010 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,4,3]=>[2,1,1,2,1,1]=>10111011 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,4,1,1,1]=>[2,1,1,4]=>10111000 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,4,1,2]=>[2,1,1,3,1]=>10111001 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,4,1,1,1]=>[2,1,1,4]=>10111000 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,4,1,1,1]=>[2,1,1,4]=>10111000 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,4,1,2]=>[2,1,1,3,1]=>10111001 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,4,1,1,1]=>[2,1,1,4]=>10111000 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,4,1,1,1]=>[2,1,1,4]=>10111000 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,4,1,1,1]=>[2,1,1,4]=>10111000 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,4,1,2]=>[2,1,1,3,1]=>10111001 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,4,2,1]=>[2,1,1,2,2]=>10111010 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,4,2,1]=>[2,1,1,2,2]=>10111010 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,4,2,1]=>[2,1,1,2,2]=>10111010 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,4,2,1]=>[2,1,1,2,2]=>10111010 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,4,3]=>[2,1,1,2,1,1]=>10111011 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,4,1,1,1]=>[2,1,1,4]=>10111000 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,4,1,2]=>[2,1,1,3,1]=>10111001 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,4,1,1,1]=>[2,1,1,4]=>10111000 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,4,1,1,1]=>[2,1,1,4]=>10111000 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,4,1,2]=>[2,1,1,3,1]=>10111001 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,4,1,1,1]=>[2,1,1,4]=>10111000 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,4,1,1,1]=>[2,1,1,4]=>10111000 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,4,1,1,1]=>[2,1,1,4]=>10111000 [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,4,1,2]=>[2,1,1,3,1]=>10111001 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,4,1,1,1]=>[2,1,1,4]=>10111000 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,4,1,1,1]=>[2,1,1,4]=>10111000 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,4,1,1,1]=>[2,1,1,4]=>10111000 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,4,1,1,1]=>[2,1,1,4]=>10111000 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,4,1,2]=>[2,1,1,3,1]=>10111001 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,4,2,1]=>[2,1,1,2,2]=>10111010 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,4,2,1]=>[2,1,1,2,2]=>10111010 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,4,2,1]=>[2,1,1,2,2]=>10111010 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,4,2,1]=>[2,1,1,2,2]=>10111010 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,4,2,1]=>[2,1,1,2,2]=>10111010 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,4,3]=>[2,1,1,2,1,1]=>10111011 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,5,1,1]=>[2,1,1,1,3]=>10111100 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,5,2]=>[2,1,1,1,2,1]=>10111101 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,5,1,1]=>[2,1,1,1,3]=>10111100 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,5,1,1]=>[2,1,1,1,3]=>10111100 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,2]=>[2,1,1,1,2,1]=>10111101 [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,5,1,1]=>[2,1,1,1,3]=>10111100 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,5,1,1]=>[2,1,1,1,3]=>10111100 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,5,1,1]=>[2,1,1,1,3]=>10111100 [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,5,2]=>[2,1,1,1,2,1]=>10111101 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,5,1,1]=>[2,1,1,1,3]=>10111100 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,5,1,1]=>[2,1,1,1,3]=>10111100 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,5,1,1]=>[2,1,1,1,3]=>10111100 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,5,1,1]=>[2,1,1,1,3]=>10111100 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,5,2]=>[2,1,1,1,2,1]=>10111101 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,5,1,1]=>[2,1,1,1,3]=>10111100 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,5,1,1]=>[2,1,1,1,3]=>10111100 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,5,1,1]=>[2,1,1,1,3]=>10111100 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,5,1,1]=>[2,1,1,1,3]=>10111100 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,5,1,1]=>[2,1,1,1,3]=>10111100 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,5,2]=>[2,1,1,1,2,1]=>10111101 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>[2,1,1,1,1,2]=>10111110 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,6,1]=>[2,1,1,1,1,2]=>10111110 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,6,1]=>[2,1,1,1,1,2]=>10111110 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,6,1]=>[2,1,1,1,1,2]=>10111110 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,6,1]=>[2,1,1,1,1,2]=>10111110 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,6,1]=>[2,1,1,1,1,2]=>10111110 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>[2,1,1,1,1,1,1]=>10111111 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1]=>[1,7]=>11000000 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,1,1,1,2]=>[1,6,1]=>11000001 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,1,1,2,1]=>[1,5,2]=>11000010 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,1,1,2,1]=>[1,5,2]=>11000010 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,1,1,3]=>[1,5,1,1]=>11000011 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,1,2,1,1]=>[1,4,3]=>11000100 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,1,2,2]=>[1,4,2,1]=>11000101 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,1,2,1,1]=>[1,4,3]=>11000100 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,1,2,1,1]=>[1,4,3]=>11000100 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[2,1,1,2,2]=>[1,4,2,1]=>11000101 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,1,3,1]=>[1,4,1,2]=>11000110 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,1,3,1]=>[1,4,1,2]=>11000110 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,1,3,1]=>[1,4,1,2]=>11000110 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,1,4]=>[1,4,1,1,1]=>11000111 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,2,1,1,1]=>[1,3,4]=>11001000 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,2,1,2]=>[1,3,3,1]=>11001001 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,2,2,1]=>[1,3,2,2]=>11001010 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,2,2,1]=>[1,3,2,2]=>11001010 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,2,3]=>[1,3,2,1,1]=>11001011 [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,2,1,1,1]=>[1,3,4]=>11001000 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[2,1,2,1,2]=>[1,3,3,1]=>11001001 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,2,1,1,1]=>[1,3,4]=>11001000 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,2,1,1,1]=>[1,3,4]=>11001000 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[2,1,2,1,2]=>[1,3,3,1]=>11001001 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,2,2,1]=>[1,3,2,2]=>11001010 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,2,2,1]=>[1,3,2,2]=>11001010 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[2,1,2,2,1]=>[1,3,2,2]=>11001010 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,2,3]=>[1,3,2,1,1]=>11001011 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,3,1,1]=>[1,3,1,3]=>11001100 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,3,2]=>[1,3,1,2,1]=>11001101 [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,3,1,1]=>[1,3,1,3]=>11001100 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,3,1,1]=>[1,3,1,3]=>11001100 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,3,2]=>[1,3,1,2,1]=>11001101 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,3,1,1]=>[1,3,1,3]=>11001100 [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[2,1,3,1,1]=>[1,3,1,3]=>11001100 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,3,1,1]=>[1,3,1,3]=>11001100 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,3,2]=>[1,3,1,2,1]=>11001101 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,4,1]=>[1,3,1,1,2]=>11001110 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,4,1]=>[1,3,1,1,2]=>11001110 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,4,1]=>[1,3,1,1,2]=>11001110 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,4,1]=>[1,3,1,1,2]=>11001110 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>[1,3,1,1,1,1]=>11001111 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,2,1,1,1,1]=>[1,2,5]=>11010000 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[2,2,1,1,2]=>[1,2,4,1]=>11010001 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[2,2,1,2,1]=>[1,2,3,2]=>11010010 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[2,2,1,2,1]=>[1,2,3,2]=>11010010 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[2,2,1,3]=>[1,2,3,1,1]=>11010011 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[2,2,2,1,1]=>[1,2,2,3]=>11010100 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,2,2,2]=>[1,2,2,2,1]=>11010101 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[2,2,2,1,1]=>[1,2,2,3]=>11010100 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,2,2,1,1]=>[1,2,2,3]=>11010100 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,2,2,2]=>[1,2,2,2,1]=>11010101 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[2,2,3,1]=>[1,2,2,1,2]=>11010110 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,2,3,1]=>[1,2,2,1,2]=>11010110 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[2,2,3,1]=>[1,2,2,1,2]=>11010110 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,2,4]=>[1,2,2,1,1,1]=>11010111 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[2,2,1,1,1,1]=>[1,2,5]=>11010000 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[2,2,1,1,2]=>[1,2,4,1]=>11010001 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[2,2,1,2,1]=>[1,2,3,2]=>11010010 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[2,2,1,2,1]=>[1,2,3,2]=>11010010 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[2,2,1,3]=>[1,2,3,1,1]=>11010011 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[2,2,1,1,1,1]=>[1,2,5]=>11010000 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[2,2,1,1,2]=>[1,2,4,1]=>11010001 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[2,2,1,1,1,1]=>[1,2,5]=>11010000 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,2,1,1,1,1]=>[1,2,5]=>11010000 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[2,2,1,1,2]=>[1,2,4,1]=>11010001 [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[2,2,1,2,1]=>[1,2,3,2]=>11010010 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[2,2,1,2,1]=>[1,2,3,2]=>11010010 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[2,2,1,2,1]=>[1,2,3,2]=>11010010 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[2,2,1,3]=>[1,2,3,1,1]=>11010011 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[2,2,2,1,1]=>[1,2,2,3]=>11010100 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,2,2,2]=>[1,2,2,2,1]=>11010101 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[2,2,2,1,1]=>[1,2,2,3]=>11010100 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[2,2,2,1,1]=>[1,2,2,3]=>11010100 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,2,2,2]=>[1,2,2,2,1]=>11010101 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[2,2,2,1,1]=>[1,2,2,3]=>11010100 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[2,2,2,1,1]=>[1,2,2,3]=>11010100 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[2,2,2,1,1]=>[1,2,2,3]=>11010100 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,2,2,2]=>[1,2,2,2,1]=>11010101 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[2,2,3,1]=>[1,2,2,1,2]=>11010110 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[2,2,3,1]=>[1,2,2,1,2]=>11010110 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[2,2,3,1]=>[1,2,2,1,2]=>11010110 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[2,2,3,1]=>[1,2,2,1,2]=>11010110 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>[1,2,2,1,1,1]=>11010111 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[2,3,1,1,1]=>[1,2,1,4]=>11011000 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[2,3,1,2]=>[1,2,1,3,1]=>11011001 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[2,3,2,1]=>[1,2,1,2,2]=>11011010 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[2,3,2,1]=>[1,2,1,2,2]=>11011010 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[2,3,3]=>[1,2,1,2,1,1]=>11011011 [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[2,3,1,1,1]=>[1,2,1,4]=>11011000 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,3,1,2]=>[1,2,1,3,1]=>11011001 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[2,3,1,1,1]=>[1,2,1,4]=>11011000 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[2,3,1,1,1]=>[1,2,1,4]=>11011000 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[2,3,1,2]=>[1,2,1,3,1]=>11011001 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[2,3,2,1]=>[1,2,1,2,2]=>11011010 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,3,2,1]=>[1,2,1,2,2]=>11011010 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[2,3,2,1]=>[1,2,1,2,2]=>11011010 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>[1,2,1,2,1,1]=>11011011 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[2,3,1,1,1]=>[1,2,1,4]=>11011000 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[2,3,1,2]=>[1,2,1,3,1]=>11011001 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[2,3,1,1,1]=>[1,2,1,4]=>11011000 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[2,3,1,1,1]=>[1,2,1,4]=>11011000 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[2,3,1,2]=>[1,2,1,3,1]=>11011001 [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[2,3,1,1,1]=>[1,2,1,4]=>11011000 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[2,3,1,1,1]=>[1,2,1,4]=>11011000 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,1,1,1]=>[1,2,1,4]=>11011000 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[2,3,1,2]=>[1,2,1,3,1]=>11011001 [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[2,3,2,1]=>[1,2,1,2,2]=>11011010 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[2,3,2,1]=>[1,2,1,2,2]=>11011010 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,3,2,1]=>[1,2,1,2,2]=>11011010 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[2,3,2,1]=>[1,2,1,2,2]=>11011010 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>[1,2,1,2,1,1]=>11011011 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[2,4,1,1]=>[1,2,1,1,3]=>11011100 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,4,2]=>[1,2,1,1,2,1]=>11011101 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[2,4,1,1]=>[1,2,1,1,3]=>11011100 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[2,4,1,1]=>[1,2,1,1,3]=>11011100 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[2,4,2]=>[1,2,1,1,2,1]=>11011101 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[2,4,1,1]=>[1,2,1,1,3]=>11011100 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,4,1,1]=>[1,2,1,1,3]=>11011100 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[2,4,1,1]=>[1,2,1,1,3]=>11011100 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,4,2]=>[1,2,1,1,2,1]=>11011101 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[2,4,1,1]=>[1,2,1,1,3]=>11011100 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[2,4,1,1]=>[1,2,1,1,3]=>11011100 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[2,4,1,1]=>[1,2,1,1,3]=>11011100 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,4,1,1]=>[1,2,1,1,3]=>11011100 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,4,2]=>[1,2,1,1,2,1]=>11011101 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[2,5,1]=>[1,2,1,1,1,2]=>11011110 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,5,1]=>[1,2,1,1,1,2]=>11011110 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,5,1]=>[1,2,1,1,1,2]=>11011110 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,5,1]=>[1,2,1,1,1,2]=>11011110 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,5,1]=>[1,2,1,1,1,2]=>11011110 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>[1,2,1,1,1,1,1]=>11011111 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1]=>[1,7]=>11000000 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,1,1,1,2]=>[1,6,1]=>11000001 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,1,1,2,1]=>[1,5,2]=>11000010 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,1,1,2,1]=>[1,5,2]=>11000010 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,1,1,3]=>[1,5,1,1]=>11000011 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,1,2,1,1]=>[1,4,3]=>11000100 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,1,2,2]=>[1,4,2,1]=>11000101 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,1,2,1,1]=>[1,4,3]=>11000100 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,1,2,1,1]=>[1,4,3]=>11000100 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[2,1,1,2,2]=>[1,4,2,1]=>11000101 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,1,3,1]=>[1,4,1,2]=>11000110 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,1,3,1]=>[1,4,1,2]=>11000110 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,1,3,1]=>[1,4,1,2]=>11000110 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,1,4]=>[1,4,1,1,1]=>11000111 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,2,1,1,1]=>[1,3,4]=>11001000 [1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,2,1,2]=>[1,3,3,1]=>11001001 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,2,2,1]=>[1,3,2,2]=>11001010 [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,2,2,1]=>[1,3,2,2]=>11001010 [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,2,3]=>[1,3,2,1,1]=>11001011 [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,2,1,1,1]=>[1,3,4]=>11001000 [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[2,1,2,1,2]=>[1,3,3,1]=>11001001 [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,2,1,1,1]=>[1,3,4]=>11001000 [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,2,1,1,1]=>[1,3,4]=>11001000 [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,1,2,1,2]=>[1,3,3,1]=>11001001 [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,2,2,1]=>[1,3,2,2]=>11001010 [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,2,2,1]=>[1,3,2,2]=>11001010 [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,1,2,2,1]=>[1,3,2,2]=>11001010 [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,2,3]=>[1,3,2,1,1]=>11001011 [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,3,1,1]=>[1,3,1,3]=>11001100 [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,3,2]=>[1,3,1,2,1]=>11001101 [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,3,1,1]=>[1,3,1,3]=>11001100 [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,3,1,1]=>[1,3,1,3]=>11001100 [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,3,2]=>[1,3,1,2,1]=>11001101 [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,3,1,1]=>[1,3,1,3]=>11001100 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,1,3,1,1]=>[1,3,1,3]=>11001100 [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,3,1,1]=>[1,3,1,3]=>11001100 [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,3,2]=>[1,3,1,2,1]=>11001101 [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,4,1]=>[1,3,1,1,2]=>11001110 [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,4,1]=>[1,3,1,1,2]=>11001110 [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,4,1]=>[1,3,1,1,2]=>11001110 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,4,1]=>[1,3,1,1,2]=>11001110 [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>[1,3,1,1,1,1]=>11001111 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1]=>[1,7]=>11000000 [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,1,1,1,2]=>[1,6,1]=>11000001 [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,1,1,2,1]=>[1,5,2]=>11000010 [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,1,1,2,1]=>[1,5,2]=>11000010 [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,1,1,3]=>[1,5,1,1]=>11000011 [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,1,2,1,1]=>[1,4,3]=>11000100 [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,1,2,2]=>[1,4,2,1]=>11000101 [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,1,2,1,1]=>[1,4,3]=>11000100 [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,1,2,1,1]=>[1,4,3]=>11000100 [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,1,2,2]=>[1,4,2,1]=>11000101 [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,1,3,1]=>[1,4,1,2]=>11000110 [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,1,3,1]=>[1,4,1,2]=>11000110 [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,1,3,1]=>[1,4,1,2]=>11000110 [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,1,4]=>[1,4,1,1,1]=>11000111 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1]=>[1,7]=>11000000 [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,1,1,1,1,2]=>[1,6,1]=>11000001 [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,1,1,1,2,1]=>[1,5,2]=>11000010 [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,1,1,1,2,1]=>[1,5,2]=>11000010 [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,1,1,1,3]=>[1,5,1,1]=>11000011 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,1,1,1,1,1,1]=>[1,7]=>11000000 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,1,1,1,1,2]=>[1,6,1]=>11000001 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,1,1,1,1,1]=>[1,7]=>11000000 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,1,1,1,1,1]=>[1,7]=>11000000 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,1,1,1,1,2]=>[1,6,1]=>11000001 [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,1,1,1,2,1]=>[1,5,2]=>11000010 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,1,1,1,2,1]=>[1,5,2]=>11000010 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,1,1,1,2,1]=>[1,5,2]=>11000010 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,1,1,3]=>[1,5,1,1]=>11000011 [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,1,1,2,1,1]=>[1,4,3]=>11000100 [1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,1,1,2,2]=>[1,4,2,1]=>11000101 [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,1,1,2,1,1]=>[1,4,3]=>11000100 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,1,1,2,1,1]=>[1,4,3]=>11000100 [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,1,1,2,2]=>[1,4,2,1]=>11000101 [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,1,1,2,1,1]=>[1,4,3]=>11000100 [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,1,1,2,1,1]=>[1,4,3]=>11000100 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,1,1,2,1,1]=>[1,4,3]=>11000100 [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,1,2,2]=>[1,4,2,1]=>11000101 [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,1,1,3,1]=>[1,4,1,2]=>11000110 [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,1,1,3,1]=>[1,4,1,2]=>11000110 [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,1,1,3,1]=>[1,4,1,2]=>11000110 [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,1,1,3,1]=>[1,4,1,2]=>11000110 [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,1,4]=>[1,4,1,1,1]=>11000111 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,2,1,1,1]=>[1,3,4]=>11001000 [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,1,2,1,2]=>[1,3,3,1]=>11001001 [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,1,2,2,1]=>[1,3,2,2]=>11001010 [1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,1,2,2,1]=>[1,3,2,2]=>11001010 [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,1,2,3]=>[1,3,2,1,1]=>11001011 [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,1,2,1,1,1]=>[1,3,4]=>11001000 [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,2,1,2]=>[1,3,3,1]=>11001001 [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,1,2,1,1,1]=>[1,3,4]=>11001000 [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,1,2,1,1,1]=>[1,3,4]=>11001000 [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,1,2,1,2]=>[1,3,3,1]=>11001001 [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,1,2,2,1]=>[1,3,2,2]=>11001010 [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,2,2,1]=>[1,3,2,2]=>11001010 [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,1,2,2,1]=>[1,3,2,2]=>11001010 [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,1,2,3]=>[1,3,2,1,1]=>11001011 [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,1,2,1,1,1]=>[1,3,4]=>11001000 [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,1,2,1,2]=>[1,3,3,1]=>11001001 [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,1,2,1,1,1]=>[1,3,4]=>11001000 [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,1,2,1,1,1]=>[1,3,4]=>11001000 [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,1,2,1,2]=>[1,3,3,1]=>11001001 [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,1,2,1,1,1]=>[1,3,4]=>11001000 [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,1,2,1,1,1]=>[1,3,4]=>11001000 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,1,2,1,1,1]=>[1,3,4]=>11001000 [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,1,2,1,2]=>[1,3,3,1]=>11001001 [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,1,2,2,1]=>[1,3,2,2]=>11001010 [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,1,2,2,1]=>[1,3,2,2]=>11001010 [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,1,2,2,1]=>[1,3,2,2]=>11001010 [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,1,2,2,1]=>[1,3,2,2]=>11001010 [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,1,2,3]=>[1,3,2,1,1]=>11001011 [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,1,3,1,1]=>[1,3,1,3]=>11001100 [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,1,3,2]=>[1,3,1,2,1]=>11001101 [1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,1,3,1,1]=>[1,3,1,3]=>11001100 [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,1,3,1,1]=>[1,3,1,3]=>11001100 [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,1,3,2]=>[1,3,1,2,1]=>11001101 [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,1,3,1,1]=>[1,3,1,3]=>11001100 [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,3,1,1]=>[1,3,1,3]=>11001100 [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,1,3,1,1]=>[1,3,1,3]=>11001100 [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,1,3,2]=>[1,3,1,2,1]=>11001101 [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,1,3,1,1]=>[1,3,1,3]=>11001100 [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,1,3,1,1]=>[1,3,1,3]=>11001100 [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,1,3,1,1]=>[1,3,1,3]=>11001100 [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,1,3,1,1]=>[1,3,1,3]=>11001100 [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,1,3,2]=>[1,3,1,2,1]=>11001101 [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,1,4,1]=>[1,3,1,1,2]=>11001110 [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,1,4,1]=>[1,3,1,1,2]=>11001110 [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,4,1]=>[1,3,1,1,2]=>11001110 [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,1,4,1]=>[1,3,1,1,2]=>11001110 [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,4,1]=>[1,3,1,1,2]=>11001110 [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,5]=>[1,3,1,1,1,1]=>11001111 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,2,1,1,1,1]=>[1,2,5]=>11010000 [1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[2,2,1,1,2]=>[1,2,4,1]=>11010001 [1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[2,2,1,2,1]=>[1,2,3,2]=>11010010 [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[2,2,1,2,1]=>[1,2,3,2]=>11010010 [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[2,2,1,3]=>[1,2,3,1,1]=>11010011 [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[2,2,2,1,1]=>[1,2,2,3]=>11010100 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,2,2,2]=>[1,2,2,2,1]=>11010101 [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[2,2,2,1,1]=>[1,2,2,3]=>11010100 [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[2,2,2,1,1]=>[1,2,2,3]=>11010100 [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,2,2,2]=>[1,2,2,2,1]=>11010101 [1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[2,2,3,1]=>[1,2,2,1,2]=>11010110 [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[2,2,3,1]=>[1,2,2,1,2]=>11010110 [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[2,2,3,1]=>[1,2,2,1,2]=>11010110 [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,2,4]=>[1,2,2,1,1,1]=>11010111 [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[2,2,1,1,1,1]=>[1,2,5]=>11010000 [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[2,2,1,1,2]=>[1,2,4,1]=>11010001 [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[2,2,1,2,1]=>[1,2,3,2]=>11010010 [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[2,2,1,2,1]=>[1,2,3,2]=>11010010 [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[2,2,1,3]=>[1,2,3,1,1]=>11010011 [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[2,2,1,1,1,1]=>[1,2,5]=>11010000 [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[2,2,1,1,2]=>[1,2,4,1]=>11010001 [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[2,2,1,1,1,1]=>[1,2,5]=>11010000 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,2,1,1,1,1]=>[1,2,5]=>11010000 [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[2,2,1,1,2]=>[1,2,4,1]=>11010001 [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[2,2,1,2,1]=>[1,2,3,2]=>11010010 [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[2,2,1,2,1]=>[1,2,3,2]=>11010010 [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[2,2,1,2,1]=>[1,2,3,2]=>11010010 [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[2,2,1,3]=>[1,2,3,1,1]=>11010011 [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[2,2,2,1,1]=>[1,2,2,3]=>11010100 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[2,2,2,2]=>[1,2,2,2,1]=>11010101 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[2,2,2,1,1]=>[1,2,2,3]=>11010100 [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[2,2,2,1,1]=>[1,2,2,3]=>11010100 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,2,2,2]=>[1,2,2,2,1]=>11010101 [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[2,2,2,1,1]=>[1,2,2,3]=>11010100 [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[2,2,2,1,1]=>[1,2,2,3]=>11010100 [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[2,2,2,1,1]=>[1,2,2,3]=>11010100 [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,2,2,2]=>[1,2,2,2,1]=>11010101 [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[2,2,3,1]=>[1,2,2,1,2]=>11010110 [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[2,2,3,1]=>[1,2,2,1,2]=>11010110 [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[2,2,3,1]=>[1,2,2,1,2]=>11010110 [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[2,2,3,1]=>[1,2,2,1,2]=>11010110 [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,2,4]=>[1,2,2,1,1,1]=>11010111 [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[2,2,1,1,1,1]=>[1,2,5]=>11010000 [1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[2,2,1,1,2]=>[1,2,4,1]=>11010001 [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[2,2,1,2,1]=>[1,2,3,2]=>11010010 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[2,2,1,2,1]=>[1,2,3,2]=>11010010 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[2,2,1,3]=>[1,2,3,1,1]=>11010011 [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[2,2,1,1,1,1]=>[1,2,5]=>11010000 [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[2,2,1,1,2]=>[1,2,4,1]=>11010001 [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[2,2,1,1,1,1]=>[1,2,5]=>11010000 [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[2,2,1,1,1,1]=>[1,2,5]=>11010000 [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[2,2,1,1,2]=>[1,2,4,1]=>11010001 [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[2,2,1,2,1]=>[1,2,3,2]=>11010010 [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[2,2,1,2,1]=>[1,2,3,2]=>11010010 [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[2,2,1,2,1]=>[1,2,3,2]=>11010010 [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[2,2,1,3]=>[1,2,3,1,1]=>11010011 [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[2,2,1,1,1,1]=>[1,2,5]=>11010000 [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[2,2,1,1,2]=>[1,2,4,1]=>11010001 [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[2,2,1,1,1,1]=>[1,2,5]=>11010000 [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[2,2,1,1,1,1]=>[1,2,5]=>11010000 [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[2,2,1,1,2]=>[1,2,4,1]=>11010001 [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[2,2,1,1,1,1]=>[1,2,5]=>11010000 [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[2,2,1,1,1,1]=>[1,2,5]=>11010000 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,2,1,1,1,1]=>[1,2,5]=>11010000 [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[2,2,1,1,2]=>[1,2,4,1]=>11010001 [1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[2,2,1,2,1]=>[1,2,3,2]=>11010010 [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[2,2,1,2,1]=>[1,2,3,2]=>11010010 [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[2,2,1,2,1]=>[1,2,3,2]=>11010010 [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[2,2,1,2,1]=>[1,2,3,2]=>11010010 [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,2,1,3]=>[1,2,3,1,1]=>11010011 [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[2,2,2,1,1]=>[1,2,2,3]=>11010100 [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[2,2,2,2]=>[1,2,2,2,1]=>11010101 [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[2,2,2,1,1]=>[1,2,2,3]=>11010100 [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[2,2,2,1,1]=>[1,2,2,3]=>11010100 [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,2,2,2]=>[1,2,2,2,1]=>11010101 [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[2,2,2,1,1]=>[1,2,2,3]=>11010100 [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[2,2,2,1,1]=>[1,2,2,3]=>11010100 [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[2,2,2,1,1]=>[1,2,2,3]=>11010100 [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,2,2,2]=>[1,2,2,2,1]=>11010101 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[2,2,2,1,1]=>[1,2,2,3]=>11010100 [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[2,2,2,1,1]=>[1,2,2,3]=>11010100 [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[2,2,2,1,1]=>[1,2,2,3]=>11010100 [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[2,2,2,1,1]=>[1,2,2,3]=>11010100 [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,2,2,2]=>[1,2,2,2,1]=>11010101 [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[2,2,3,1]=>[1,2,2,1,2]=>11010110 [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[2,2,3,1]=>[1,2,2,1,2]=>11010110 [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[2,2,3,1]=>[1,2,2,1,2]=>11010110 [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[2,2,3,1]=>[1,2,2,1,2]=>11010110 [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,2,3,1]=>[1,2,2,1,2]=>11010110 [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,2,4]=>[1,2,2,1,1,1]=>11010111 [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[2,3,1,1,1]=>[1,2,1,4]=>11011000 [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[2,3,1,2]=>[1,2,1,3,1]=>11011001 [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[2,3,2,1]=>[1,2,1,2,2]=>11011010 [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[2,3,2,1]=>[1,2,1,2,2]=>11011010 [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[2,3,3]=>[1,2,1,2,1,1]=>11011011 [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[2,3,1,1,1]=>[1,2,1,4]=>11011000 [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[2,3,1,2]=>[1,2,1,3,1]=>11011001 [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[2,3,1,1,1]=>[1,2,1,4]=>11011000 [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[2,3,1,1,1]=>[1,2,1,4]=>11011000 [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[2,3,1,2]=>[1,2,1,3,1]=>11011001 [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[2,3,2,1]=>[1,2,1,2,2]=>11011010 [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[2,3,2,1]=>[1,2,1,2,2]=>11011010 [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[2,3,2,1]=>[1,2,1,2,2]=>11011010 [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,3,3]=>[1,2,1,2,1,1]=>11011011 [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[2,3,1,1,1]=>[1,2,1,4]=>11011000 [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[2,3,1,2]=>[1,2,1,3,1]=>11011001 [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[2,3,1,1,1]=>[1,2,1,4]=>11011000 [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[2,3,1,1,1]=>[1,2,1,4]=>11011000 [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[2,3,1,2]=>[1,2,1,3,1]=>11011001 [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[2,3,1,1,1]=>[1,2,1,4]=>11011000 [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[2,3,1,1,1]=>[1,2,1,4]=>11011000 [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[2,3,1,1,1]=>[1,2,1,4]=>11011000 [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[2,3,1,2]=>[1,2,1,3,1]=>11011001 [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[2,3,2,1]=>[1,2,1,2,2]=>11011010 [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[2,3,2,1]=>[1,2,1,2,2]=>11011010 [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[2,3,2,1]=>[1,2,1,2,2]=>11011010 [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[2,3,2,1]=>[1,2,1,2,2]=>11011010 [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,3]=>[1,2,1,2,1,1]=>11011011 [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[2,3,1,1,1]=>[1,2,1,4]=>11011000 [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[2,3,1,2]=>[1,2,1,3,1]=>11011001 [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[2,3,1,1,1]=>[1,2,1,4]=>11011000 [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[2,3,1,1,1]=>[1,2,1,4]=>11011000 [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[2,3,1,2]=>[1,2,1,3,1]=>11011001 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[2,3,1,1,1]=>[1,2,1,4]=>11011000 [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[2,3,1,1,1]=>[1,2,1,4]=>11011000 [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[2,3,1,1,1]=>[1,2,1,4]=>11011000 [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[2,3,1,2]=>[1,2,1,3,1]=>11011001 [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[2,3,1,1,1]=>[1,2,1,4]=>11011000 [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[2,3,1,1,1]=>[1,2,1,4]=>11011000 [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[2,3,1,1,1]=>[1,2,1,4]=>11011000 [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,3,1,1,1]=>[1,2,1,4]=>11011000 [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,3,1,2]=>[1,2,1,3,1]=>11011001 [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[2,3,2,1]=>[1,2,1,2,2]=>11011010 [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[2,3,2,1]=>[1,2,1,2,2]=>11011010 [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[2,3,2,1]=>[1,2,1,2,2]=>11011010 [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[2,3,2,1]=>[1,2,1,2,2]=>11011010 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,3,2,1]=>[1,2,1,2,2]=>11011010 [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,3]=>[1,2,1,2,1,1]=>11011011 [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,4,1,1]=>[1,2,1,1,3]=>11011100 [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,4,2]=>[1,2,1,1,2,1]=>11011101 [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[2,4,1,1]=>[1,2,1,1,3]=>11011100 [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,4,1,1]=>[1,2,1,1,3]=>11011100 [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,4,2]=>[1,2,1,1,2,1]=>11011101 [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[2,4,1,1]=>[1,2,1,1,3]=>11011100 [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[2,4,1,1]=>[1,2,1,1,3]=>11011100 [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,4,1,1]=>[1,2,1,1,3]=>11011100 [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,4,2]=>[1,2,1,1,2,1]=>11011101 [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[2,4,1,1]=>[1,2,1,1,3]=>11011100 [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[2,4,1,1]=>[1,2,1,1,3]=>11011100 [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[2,4,1,1]=>[1,2,1,1,3]=>11011100 [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,4,1,1]=>[1,2,1,1,3]=>11011100 [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,4,2]=>[1,2,1,1,2,1]=>11011101 [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[2,4,1,1]=>[1,2,1,1,3]=>11011100 [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[2,4,1,1]=>[1,2,1,1,3]=>11011100 [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[2,4,1,1]=>[1,2,1,1,3]=>11011100 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[2,4,1,1]=>[1,2,1,1,3]=>11011100 [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,4,1,1]=>[1,2,1,1,3]=>11011100 [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,4,2]=>[1,2,1,1,2,1]=>11011101 [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,5,1]=>[1,2,1,1,1,2]=>11011110 [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,5,1]=>[1,2,1,1,1,2]=>11011110 [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,5,1]=>[1,2,1,1,1,2]=>11011110 [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,5,1]=>[1,2,1,1,1,2]=>11011110 [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,5,1]=>[1,2,1,1,1,2]=>11011110 [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,5,1]=>[1,2,1,1,1,2]=>11011110 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,6]=>[1,2,1,1,1,1,1]=>11011111 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1]=>[1,1,6]=>11100000 [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[3,1,1,1,2]=>[1,1,5,1]=>11100001 [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]=>[3,1,1,2,1]=>[1,1,4,2]=>11100010 [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[3,1,1,2,1]=>[1,1,4,2]=>11100010 [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,1,1,3]=>[1,1,4,1,1]=>11100011 [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]=>[3,1,2,1,1]=>[1,1,3,3]=>11100100 [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>[3,1,2,2]=>[1,1,3,2,1]=>11100101 [1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]=>[3,1,2,1,1]=>[1,1,3,3]=>11100100 [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[3,1,2,1,1]=>[1,1,3,3]=>11100100 [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[3,1,2,2]=>[1,1,3,2,1]=>11100101 [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[3,1,3,1]=>[1,1,3,1,2]=>11100110 [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[3,1,3,1]=>[1,1,3,1,2]=>11100110 [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[3,1,3,1]=>[1,1,3,1,2]=>11100110 [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>[1,1,3,1,1,1]=>11100111 [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[3,2,1,1,1]=>[1,1,2,4]=>11101000 [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]=>[3,2,1,2]=>[1,1,2,3,1]=>11101001 [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,2,2,1]=>[1,1,2,2,2]=>11101010 [1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[3,2,2,1]=>[1,1,2,2,2]=>11101010 [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[3,2,3]=>[1,1,2,2,1,1]=>11101011 [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[3,2,1,1,1]=>[1,1,2,4]=>11101000 [1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[3,2,1,2]=>[1,1,2,3,1]=>11101001 [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[3,2,1,1,1]=>[1,1,2,4]=>11101000 [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[3,2,1,1,1]=>[1,1,2,4]=>11101000 [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[3,2,1,2]=>[1,1,2,3,1]=>11101001 [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[3,2,2,1]=>[1,1,2,2,2]=>11101010 [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[3,2,2,1]=>[1,1,2,2,2]=>11101010 [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[3,2,2,1]=>[1,1,2,2,2]=>11101010 [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[3,2,3]=>[1,1,2,2,1,1]=>11101011 [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[3,3,1,1]=>[1,1,2,1,3]=>11101100 [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[3,3,2]=>[1,1,2,1,2,1]=>11101101 [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]=>[3,3,1,1]=>[1,1,2,1,3]=>11101100 [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[3,3,1,1]=>[1,1,2,1,3]=>11101100 [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[3,3,2]=>[1,1,2,1,2,1]=>11101101 [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]=>[3,3,1,1]=>[1,1,2,1,3]=>11101100 [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[3,3,1,1]=>[1,1,2,1,3]=>11101100 [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[3,3,1,1]=>[1,1,2,1,3]=>11101100 [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[3,3,2]=>[1,1,2,1,2,1]=>11101101 [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,4,1]=>[1,1,2,1,1,2]=>11101110 [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,4,1]=>[1,1,2,1,1,2]=>11101110 [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[3,4,1]=>[1,1,2,1,1,2]=>11101110 [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,4,1]=>[1,1,2,1,1,2]=>11101110 [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>[1,1,2,1,1,1,1]=>11101111 [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1]=>[1,1,6]=>11100000 [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]=>[3,1,1,1,2]=>[1,1,5,1]=>11100001 [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[3,1,1,2,1]=>[1,1,4,2]=>11100010 [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[3,1,1,2,1]=>[1,1,4,2]=>11100010 [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[3,1,1,3]=>[1,1,4,1,1]=>11100011 [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[3,1,2,1,1]=>[1,1,3,3]=>11100100 [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,1,2,2]=>[1,1,3,2,1]=>11100101 [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[3,1,2,1,1]=>[1,1,3,3]=>11100100 [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[3,1,2,1,1]=>[1,1,3,3]=>11100100 [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[3,1,2,2]=>[1,1,3,2,1]=>11100101 [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]=>[3,1,3,1]=>[1,1,3,1,2]=>11100110 [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,1,3,1]=>[1,1,3,1,2]=>11100110 [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[3,1,3,1]=>[1,1,3,1,2]=>11100110 [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>[1,1,3,1,1,1]=>11100111 [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[3,1,1,1,1,1]=>[1,1,6]=>11100000 [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]=>[3,1,1,1,2]=>[1,1,5,1]=>11100001 [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]=>[3,1,1,2,1]=>[1,1,4,2]=>11100010 [1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0]=>[3,1,1,2,1]=>[1,1,4,2]=>11100010 [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]=>[3,1,1,3]=>[1,1,4,1,1]=>11100011 [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[3,1,1,1,1,1]=>[1,1,6]=>11100000 [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]=>[3,1,1,1,2]=>[1,1,5,1]=>11100001 [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,1,1,1,1]=>[1,1,6]=>11100000 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1]=>[1,1,6]=>11100000 [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[3,1,1,1,2]=>[1,1,5,1]=>11100001 [1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0]=>[3,1,1,2,1]=>[1,1,4,2]=>11100010 [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[3,1,1,2,1]=>[1,1,4,2]=>11100010 [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[3,1,1,2,1]=>[1,1,4,2]=>11100010 [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[3,1,1,3]=>[1,1,4,1,1]=>11100011 [1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[3,1,2,1,1]=>[1,1,3,3]=>11100100 [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]=>[3,1,2,2]=>[1,1,3,2,1]=>11100101 [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[3,1,2,1,1]=>[1,1,3,3]=>11100100 [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>[3,1,2,1,1]=>[1,1,3,3]=>11100100 [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[3,1,2,2]=>[1,1,3,2,1]=>11100101 [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]=>[3,1,2,1,1]=>[1,1,3,3]=>11100100 [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]=>[3,1,2,1,1]=>[1,1,3,3]=>11100100 [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[3,1,2,1,1]=>[1,1,3,3]=>11100100 [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[3,1,2,2]=>[1,1,3,2,1]=>11100101 [1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]=>[3,1,3,1]=>[1,1,3,1,2]=>11100110 [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[3,1,3,1]=>[1,1,3,1,2]=>11100110 [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[3,1,3,1]=>[1,1,3,1,2]=>11100110 [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[3,1,3,1]=>[1,1,3,1,2]=>11100110 [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>[1,1,3,1,1,1]=>11100111 [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[3,2,1,1,1]=>[1,1,2,4]=>11101000 [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[3,2,1,2]=>[1,1,2,3,1]=>11101001 [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,2,1]=>[1,1,2,2,2]=>11101010 [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,2,1]=>[1,1,2,2,2]=>11101010 [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,3]=>[1,1,2,2,1,1]=>11101011 [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>[3,2,1,1,1]=>[1,1,2,4]=>11101000 [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,1,2]=>[1,1,2,3,1]=>11101001 [1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]=>[3,2,1,1,1]=>[1,1,2,4]=>11101000 [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[3,2,1,1,1]=>[1,1,2,4]=>11101000 [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[3,2,1,2]=>[1,1,2,3,1]=>11101001 [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,2,1]=>[1,1,2,2,2]=>11101010 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,2,1]=>[1,1,2,2,2]=>11101010 [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,2,1]=>[1,1,2,2,2]=>11101010 [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>[1,1,2,2,1,1]=>11101011 [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[3,2,1,1,1]=>[1,1,2,4]=>11101000 [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[3,2,1,2]=>[1,1,2,3,1]=>11101001 [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0]=>[3,2,1,1,1]=>[1,1,2,4]=>11101000 [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]=>[3,2,1,1,1]=>[1,1,2,4]=>11101000 [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]=>[3,2,1,2]=>[1,1,2,3,1]=>11101001 [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[3,2,1,1,1]=>[1,1,2,4]=>11101000 [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]=>[3,2,1,1,1]=>[1,1,2,4]=>11101000 [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[3,2,1,1,1]=>[1,1,2,4]=>11101000 [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[3,2,1,2]=>[1,1,2,3,1]=>11101001 [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[3,2,2,1]=>[1,1,2,2,2]=>11101010 [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[3,2,2,1]=>[1,1,2,2,2]=>11101010 [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[3,2,2,1]=>[1,1,2,2,2]=>11101010 [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[3,2,2,1]=>[1,1,2,2,2]=>11101010 [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>[1,1,2,2,1,1]=>11101011 [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[3,3,1,1]=>[1,1,2,1,3]=>11101100 [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[3,3,2]=>[1,1,2,1,2,1]=>11101101 [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[3,3,1,1]=>[1,1,2,1,3]=>11101100 [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>[3,3,1,1]=>[1,1,2,1,3]=>11101100 [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[3,3,2]=>[1,1,2,1,2,1]=>11101101 [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[3,3,1,1]=>[1,1,2,1,3]=>11101100 [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,3,1,1]=>[1,1,2,1,3]=>11101100 [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[3,3,1,1]=>[1,1,2,1,3]=>11101100 [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,3,2]=>[1,1,2,1,2,1]=>11101101 [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[3,3,1,1]=>[1,1,2,1,3]=>11101100 [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[3,3,1,1]=>[1,1,2,1,3]=>11101100 [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[3,3,1,1]=>[1,1,2,1,3]=>11101100 [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[3,3,1,1]=>[1,1,2,1,3]=>11101100 [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,3,2]=>[1,1,2,1,2,1]=>11101101 [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,4,1]=>[1,1,2,1,1,2]=>11101110 [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1]=>[1,1,2,1,1,2]=>11101110 [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,1]=>[1,1,2,1,1,2]=>11101110 [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1]=>[1,1,2,1,1,2]=>11101110 [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,1]=>[1,1,2,1,1,2]=>11101110 [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,5]=>[1,1,2,1,1,1,1]=>11101111 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1]=>[1,1,6]=>11100000 [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,1,1,1,2]=>[1,1,5,1]=>11100001 [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[3,1,1,2,1]=>[1,1,4,2]=>11100010 [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,1,1,2,1]=>[1,1,4,2]=>11100010 [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,1,1,3]=>[1,1,4,1,1]=>11100011 [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[3,1,2,1,1]=>[1,1,3,3]=>11100100 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,1,2,2]=>[1,1,3,2,1]=>11100101 [1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]=>[3,1,2,1,1]=>[1,1,3,3]=>11100100 [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,1,2,1,1]=>[1,1,3,3]=>11100100 [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,1,2,2]=>[1,1,3,2,1]=>11100101 [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[3,1,3,1]=>[1,1,3,1,2]=>11100110 [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,1,3,1]=>[1,1,3,1,2]=>11100110 [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,1,3,1]=>[1,1,3,1,2]=>11100110 [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>[1,1,3,1,1,1]=>11100111 [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,1,1,1,1,1]=>[1,1,6]=>11100000 [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[3,1,1,1,2]=>[1,1,5,1]=>11100001 [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,1,1,2,1]=>[1,1,4,2]=>11100010 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[3,1,1,2,1]=>[1,1,4,2]=>11100010 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,1,1,3]=>[1,1,4,1,1]=>11100011 [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,1,1,1,1,1]=>[1,1,6]=>11100000 [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,1,1,1,2]=>[1,1,5,1]=>11100001 [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,1,1,1,1,1]=>[1,1,6]=>11100000 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1]=>[1,1,6]=>11100000 [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,1,1,1,2]=>[1,1,5,1]=>11100001 [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,1,1,2,1]=>[1,1,4,2]=>11100010 [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,1,1,2,1]=>[1,1,4,2]=>11100010 [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,1,1,2,1]=>[1,1,4,2]=>11100010 [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,1,1,3]=>[1,1,4,1,1]=>11100011 [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]=>[3,1,2,1,1]=>[1,1,3,3]=>11100100 [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,1,2,2]=>[1,1,3,2,1]=>11100101 [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,1,2,1,1]=>[1,1,3,3]=>11100100 [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,1,2,1,1]=>[1,1,3,3]=>11100100 [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,1,2,2]=>[1,1,3,2,1]=>11100101 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,1,2,1,1]=>[1,1,3,3]=>11100100 [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,1,2,1,1]=>[1,1,3,3]=>11100100 [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,1,2,1,1]=>[1,1,3,3]=>11100100 [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,1,2,2]=>[1,1,3,2,1]=>11100101 [1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,1,3,1]=>[1,1,3,1,2]=>11100110 [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,1,3,1]=>[1,1,3,1,2]=>11100110 [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,1,3,1]=>[1,1,3,1,2]=>11100110 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,1,3,1]=>[1,1,3,1,2]=>11100110 [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,4]=>[1,1,3,1,1,1]=>11100111 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,1,1,1,1,1]=>[1,1,6]=>11100000 [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[3,1,1,1,2]=>[1,1,5,1]=>11100001 [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]=>[3,1,1,2,1]=>[1,1,4,2]=>11100010 [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]=>[3,1,1,2,1]=>[1,1,4,2]=>11100010 [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,1,1,3]=>[1,1,4,1,1]=>11100011 [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,1,1,1,1,1]=>[1,1,6]=>11100000 [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[3,1,1,1,2]=>[1,1,5,1]=>11100001 [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[3,1,1,1,1,1]=>[1,1,6]=>11100000 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1]=>[1,1,6]=>11100000 [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]=>[3,1,1,1,2]=>[1,1,5,1]=>11100001 [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]=>[3,1,1,2,1]=>[1,1,4,2]=>11100010 [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[3,1,1,2,1]=>[1,1,4,2]=>11100010 [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]=>[3,1,1,2,1]=>[1,1,4,2]=>11100010 [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,1,1,3]=>[1,1,4,1,1]=>11100011 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,1,1,1,1,1]=>[1,1,6]=>11100000 [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[3,1,1,1,2]=>[1,1,5,1]=>11100001 [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[3,1,1,1,1,1]=>[1,1,6]=>11100000 [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,1,1,1,1,1]=>[1,1,6]=>11100000 [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[3,1,1,1,2]=>[1,1,5,1]=>11100001 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,1,1,1,1,1]=>[1,1,6]=>11100000 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,1,1,1,1,1]=>[1,1,6]=>11100000 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,1,1,1,1,1]=>[1,1,6]=>11100000 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,1,1,1,2]=>[1,1,5,1]=>11100001 [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[3,1,1,2,1]=>[1,1,4,2]=>11100010 [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,1,1,2,1]=>[1,1,4,2]=>11100010 [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[3,1,1,2,1]=>[1,1,4,2]=>11100010 [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,1,1,2,1]=>[1,1,4,2]=>11100010 [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,1,1,3]=>[1,1,4,1,1]=>11100011 [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[3,1,2,1,1]=>[1,1,3,3]=>11100100 [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[3,1,2,2]=>[1,1,3,2,1]=>11100101 [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,1,2,1,1]=>[1,1,3,3]=>11100100 [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,1,2,1,1]=>[1,1,3,3]=>11100100 [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,1,2,2]=>[1,1,3,2,1]=>11100101 [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[3,1,2,1,1]=>[1,1,3,3]=>11100100 [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,1,2,1,1]=>[1,1,3,3]=>11100100 [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,1,2,1,1]=>[1,1,3,3]=>11100100 [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,1,2,2]=>[1,1,3,2,1]=>11100101 [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]=>[3,1,2,1,1]=>[1,1,3,3]=>11100100 [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[3,1,2,1,1]=>[1,1,3,3]=>11100100 [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[3,1,2,1,1]=>[1,1,3,3]=>11100100 [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,1,2,1,1]=>[1,1,3,3]=>11100100 [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,1,2,2]=>[1,1,3,2,1]=>11100101 [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,1,3,1]=>[1,1,3,1,2]=>11100110 [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,1,3,1]=>[1,1,3,1,2]=>11100110 [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,1,3,1]=>[1,1,3,1,2]=>11100110 [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,1,3,1]=>[1,1,3,1,2]=>11100110 [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,1,3,1]=>[1,1,3,1,2]=>11100110 [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,1,4]=>[1,1,3,1,1,1]=>11100111 [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[3,2,1,1,1]=>[1,1,2,4]=>11101000 [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[3,2,1,2]=>[1,1,2,3,1]=>11101001 [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[3,2,2,1]=>[1,1,2,2,2]=>11101010 [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[3,2,2,1]=>[1,1,2,2,2]=>11101010 [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[3,2,3]=>[1,1,2,2,1,1]=>11101011 [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[3,2,1,1,1]=>[1,1,2,4]=>11101000 [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[3,2,1,2]=>[1,1,2,3,1]=>11101001 [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]=>[3,2,1,1,1]=>[1,1,2,4]=>11101000 [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[3,2,1,1,1]=>[1,1,2,4]=>11101000 [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[3,2,1,2]=>[1,1,2,3,1]=>11101001 [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[3,2,2,1]=>[1,1,2,2,2]=>11101010 [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[3,2,2,1]=>[1,1,2,2,2]=>11101010 [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[3,2,2,1]=>[1,1,2,2,2]=>11101010 [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[3,2,3]=>[1,1,2,2,1,1]=>11101011 [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]=>[3,2,1,1,1]=>[1,1,2,4]=>11101000 [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[3,2,1,2]=>[1,1,2,3,1]=>11101001 [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[3,2,1,1,1]=>[1,1,2,4]=>11101000 [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[3,2,1,1,1]=>[1,1,2,4]=>11101000 [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[3,2,1,2]=>[1,1,2,3,1]=>11101001 [1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[3,2,1,1,1]=>[1,1,2,4]=>11101000 [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[3,2,1,1,1]=>[1,1,2,4]=>11101000 [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[3,2,1,1,1]=>[1,1,2,4]=>11101000 [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,2,1,2]=>[1,1,2,3,1]=>11101001 [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[3,2,2,1]=>[1,1,2,2,2]=>11101010 [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[3,2,2,1]=>[1,1,2,2,2]=>11101010 [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[3,2,2,1]=>[1,1,2,2,2]=>11101010 [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,2,2,1]=>[1,1,2,2,2]=>11101010 [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,2,3]=>[1,1,2,2,1,1]=>11101011 [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[3,2,1,1,1]=>[1,1,2,4]=>11101000 [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[3,2,1,2]=>[1,1,2,3,1]=>11101001 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[3,2,1,1,1]=>[1,1,2,4]=>11101000 [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[3,2,1,1,1]=>[1,1,2,4]=>11101000 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[3,2,1,2]=>[1,1,2,3,1]=>11101001 [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[3,2,1,1,1]=>[1,1,2,4]=>11101000 [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[3,2,1,1,1]=>[1,1,2,4]=>11101000 [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>[3,2,1,1,1]=>[1,1,2,4]=>11101000 [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[3,2,1,2]=>[1,1,2,3,1]=>11101001 [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[3,2,1,1,1]=>[1,1,2,4]=>11101000 [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[3,2,1,1,1]=>[1,1,2,4]=>11101000 [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[3,2,1,1,1]=>[1,1,2,4]=>11101000 [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[3,2,1,1,1]=>[1,1,2,4]=>11101000 [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,2,1,2]=>[1,1,2,3,1]=>11101001 [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[3,2,2,1]=>[1,1,2,2,2]=>11101010 [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[3,2,2,1]=>[1,1,2,2,2]=>11101010 [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[3,2,2,1]=>[1,1,2,2,2]=>11101010 [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,2,2,1]=>[1,1,2,2,2]=>11101010 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,2,1]=>[1,1,2,2,2]=>11101010 [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,2,3]=>[1,1,2,2,1,1]=>11101011 [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,3,1,1]=>[1,1,2,1,3]=>11101100 [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,3,2]=>[1,1,2,1,2,1]=>11101101 [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[3,3,1,1]=>[1,1,2,1,3]=>11101100 [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[3,3,1,1]=>[1,1,2,1,3]=>11101100 [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,3,2]=>[1,1,2,1,2,1]=>11101101 [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[3,3,1,1]=>[1,1,2,1,3]=>11101100 [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[3,3,1,1]=>[1,1,2,1,3]=>11101100 [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[3,3,1,1]=>[1,1,2,1,3]=>11101100 [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,3,2]=>[1,1,2,1,2,1]=>11101101 [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[3,3,1,1]=>[1,1,2,1,3]=>11101100 [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[3,3,1,1]=>[1,1,2,1,3]=>11101100 [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[3,3,1,1]=>[1,1,2,1,3]=>11101100 [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,3,1,1]=>[1,1,2,1,3]=>11101100 [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,3,2]=>[1,1,2,1,2,1]=>11101101 [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>[3,3,1,1]=>[1,1,2,1,3]=>11101100 [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[3,3,1,1]=>[1,1,2,1,3]=>11101100 [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[3,3,1,1]=>[1,1,2,1,3]=>11101100 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,3,1,1]=>[1,1,2,1,3]=>11101100 [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,3,1,1]=>[1,1,2,1,3]=>11101100 [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,3,2]=>[1,1,2,1,2,1]=>11101101 [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,4,1]=>[1,1,2,1,1,2]=>11101110 [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,4,1]=>[1,1,2,1,1,2]=>11101110 [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,4,1]=>[1,1,2,1,1,2]=>11101110 [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,4,1]=>[1,1,2,1,1,2]=>11101110 [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,1]=>[1,1,2,1,1,2]=>11101110 [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,1]=>[1,1,2,1,1,2]=>11101110 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,5]=>[1,1,2,1,1,1,1]=>11101111 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[4,1,1,1,1]=>[1,1,1,5]=>11110000 [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[4,1,1,2]=>[1,1,1,4,1]=>11110001 [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[4,1,2,1]=>[1,1,1,3,2]=>11110010 [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[4,1,2,1]=>[1,1,1,3,2]=>11110010 [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[4,1,3]=>[1,1,1,3,1,1]=>11110011 [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[4,2,1,1]=>[1,1,1,2,3]=>11110100 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[4,2,2]=>[1,1,1,2,2,1]=>11110101 [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[4,2,1,1]=>[1,1,1,2,3]=>11110100 [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[4,2,1,1]=>[1,1,1,2,3]=>11110100 [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[4,2,2]=>[1,1,1,2,2,1]=>11110101 [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[4,3,1]=>[1,1,1,2,1,2]=>11110110 [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[4,3,1]=>[1,1,1,2,1,2]=>11110110 [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[4,3,1]=>[1,1,1,2,1,2]=>11110110 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>[1,1,1,2,1,1,1]=>11110111 [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[4,1,1,1,1]=>[1,1,1,5]=>11110000 [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[4,1,1,2]=>[1,1,1,4,1]=>11110001 [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[4,1,2,1]=>[1,1,1,3,2]=>11110010 [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[4,1,2,1]=>[1,1,1,3,2]=>11110010 [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[4,1,3]=>[1,1,1,3,1,1]=>11110011 [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[4,1,1,1,1]=>[1,1,1,5]=>11110000 [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[4,1,1,2]=>[1,1,1,4,1]=>11110001 [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[4,1,1,1,1]=>[1,1,1,5]=>11110000 [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[4,1,1,1,1]=>[1,1,1,5]=>11110000 [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[4,1,1,2]=>[1,1,1,4,1]=>11110001 [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[4,1,2,1]=>[1,1,1,3,2]=>11110010 [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[4,1,2,1]=>[1,1,1,3,2]=>11110010 [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[4,1,2,1]=>[1,1,1,3,2]=>11110010 [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,1,3]=>[1,1,1,3,1,1]=>11110011 [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[4,2,1,1]=>[1,1,1,2,3]=>11110100 [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[4,2,2]=>[1,1,1,2,2,1]=>11110101 [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[4,2,1,1]=>[1,1,1,2,3]=>11110100 [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[4,2,1,1]=>[1,1,1,2,3]=>11110100 [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[4,2,2]=>[1,1,1,2,2,1]=>11110101 [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[4,2,1,1]=>[1,1,1,2,3]=>11110100 [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[4,2,1,1]=>[1,1,1,2,3]=>11110100 [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[4,2,1,1]=>[1,1,1,2,3]=>11110100 [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,2,2]=>[1,1,1,2,2,1]=>11110101 [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[4,3,1]=>[1,1,1,2,1,2]=>11110110 [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,1]=>[1,1,1,2,1,2]=>11110110 [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[4,3,1]=>[1,1,1,2,1,2]=>11110110 [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,1]=>[1,1,1,2,1,2]=>11110110 [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,4]=>[1,1,1,2,1,1,1]=>11110111 [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[4,1,1,1,1]=>[1,1,1,5]=>11110000 [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[4,1,1,2]=>[1,1,1,4,1]=>11110001 [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[4,1,2,1]=>[1,1,1,3,2]=>11110010 [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[4,1,2,1]=>[1,1,1,3,2]=>11110010 [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[4,1,3]=>[1,1,1,3,1,1]=>11110011 [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[4,1,1,1,1]=>[1,1,1,5]=>11110000 [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[4,1,1,2]=>[1,1,1,4,1]=>11110001 [1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]=>[4,1,1,1,1]=>[1,1,1,5]=>11110000 [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[4,1,1,1,1]=>[1,1,1,5]=>11110000 [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[4,1,1,2]=>[1,1,1,4,1]=>11110001 [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[4,1,2,1]=>[1,1,1,3,2]=>11110010 [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[4,1,2,1]=>[1,1,1,3,2]=>11110010 [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[4,1,2,1]=>[1,1,1,3,2]=>11110010 [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>[1,1,1,3,1,1]=>11110011 [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]=>[4,1,1,1,1]=>[1,1,1,5]=>11110000 [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[4,1,1,2]=>[1,1,1,4,1]=>11110001 [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[4,1,1,1,1]=>[1,1,1,5]=>11110000 [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]=>[4,1,1,1,1]=>[1,1,1,5]=>11110000 [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[4,1,1,2]=>[1,1,1,4,1]=>11110001 [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]=>[4,1,1,1,1]=>[1,1,1,5]=>11110000 [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[4,1,1,1,1]=>[1,1,1,5]=>11110000 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[4,1,1,1,1]=>[1,1,1,5]=>11110000 [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[4,1,1,2]=>[1,1,1,4,1]=>11110001 [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>[1,1,1,3,2]=>11110010 [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[4,1,2,1]=>[1,1,1,3,2]=>11110010 [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[4,1,2,1]=>[1,1,1,3,2]=>11110010 [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[4,1,2,1]=>[1,1,1,3,2]=>11110010 [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>[1,1,1,3,1,1]=>11110011 [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[4,2,1,1]=>[1,1,1,2,3]=>11110100 [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[4,2,2]=>[1,1,1,2,2,1]=>11110101 [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[4,2,1,1]=>[1,1,1,2,3]=>11110100 [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[4,2,1,1]=>[1,1,1,2,3]=>11110100 [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,2,2]=>[1,1,1,2,2,1]=>11110101 [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[4,2,1,1]=>[1,1,1,2,3]=>11110100 [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,2,1,1]=>[1,1,1,2,3]=>11110100 [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>[1,1,1,2,3]=>11110100 [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,2,2]=>[1,1,1,2,2,1]=>11110101 [1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[4,2,1,1]=>[1,1,1,2,3]=>11110100 [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[4,2,1,1]=>[1,1,1,2,3]=>11110100 [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>[1,1,1,2,3]=>11110100 [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>[1,1,1,2,3]=>11110100 [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,2,2]=>[1,1,1,2,2,1]=>11110101 [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,1]=>[1,1,1,2,1,2]=>11110110 [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,1]=>[1,1,1,2,1,2]=>11110110 [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,1]=>[1,1,1,2,1,2]=>11110110 [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,1]=>[1,1,1,2,1,2]=>11110110 [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,1]=>[1,1,1,2,1,2]=>11110110 [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,4]=>[1,1,1,2,1,1,1]=>11110111 [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[4,1,1,1,1]=>[1,1,1,5]=>11110000 [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[4,1,1,2]=>[1,1,1,4,1]=>11110001 [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[4,1,2,1]=>[1,1,1,3,2]=>11110010 [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[4,1,2,1]=>[1,1,1,3,2]=>11110010 [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[4,1,3]=>[1,1,1,3,1,1]=>11110011 [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]=>[4,1,1,1,1]=>[1,1,1,5]=>11110000 [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[4,1,1,2]=>[1,1,1,4,1]=>11110001 [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]=>[4,1,1,1,1]=>[1,1,1,5]=>11110000 [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[4,1,1,1,1]=>[1,1,1,5]=>11110000 [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[4,1,1,2]=>[1,1,1,4,1]=>11110001 [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[4,1,2,1]=>[1,1,1,3,2]=>11110010 [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[4,1,2,1]=>[1,1,1,3,2]=>11110010 [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[4,1,2,1]=>[1,1,1,3,2]=>11110010 [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,3]=>[1,1,1,3,1,1]=>11110011 [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]=>[4,1,1,1,1]=>[1,1,1,5]=>11110000 [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[4,1,1,2]=>[1,1,1,4,1]=>11110001 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[4,1,1,1,1]=>[1,1,1,5]=>11110000 [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]=>[4,1,1,1,1]=>[1,1,1,5]=>11110000 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[4,1,1,2]=>[1,1,1,4,1]=>11110001 [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[4,1,1,1,1]=>[1,1,1,5]=>11110000 [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[4,1,1,1,1]=>[1,1,1,5]=>11110000 [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[4,1,1,1,1]=>[1,1,1,5]=>11110000 [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,1,2]=>[1,1,1,4,1]=>11110001 [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[4,1,2,1]=>[1,1,1,3,2]=>11110010 [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[4,1,2,1]=>[1,1,1,3,2]=>11110010 [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[4,1,2,1]=>[1,1,1,3,2]=>11110010 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[4,1,2,1]=>[1,1,1,3,2]=>11110010 [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,3]=>[1,1,1,3,1,1]=>11110011 [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[4,1,1,1,1]=>[1,1,1,5]=>11110000 [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[4,1,1,2]=>[1,1,1,4,1]=>11110001 [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[4,1,1,1,1]=>[1,1,1,5]=>11110000 [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[4,1,1,1,1]=>[1,1,1,5]=>11110000 [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[4,1,1,2]=>[1,1,1,4,1]=>11110001 [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[4,1,1,1,1]=>[1,1,1,5]=>11110000 [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[4,1,1,1,1]=>[1,1,1,5]=>11110000 [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[4,1,1,1,1]=>[1,1,1,5]=>11110000 [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[4,1,1,2]=>[1,1,1,4,1]=>11110001 [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[4,1,1,1,1]=>[1,1,1,5]=>11110000 [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[4,1,1,1,1]=>[1,1,1,5]=>11110000 [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[4,1,1,1,1]=>[1,1,1,5]=>11110000 [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,1,1,1,1]=>[1,1,1,5]=>11110000 [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,1,1,2]=>[1,1,1,4,1]=>11110001 [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[4,1,2,1]=>[1,1,1,3,2]=>11110010 [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[4,1,2,1]=>[1,1,1,3,2]=>11110010 [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[4,1,2,1]=>[1,1,1,3,2]=>11110010 [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[4,1,2,1]=>[1,1,1,3,2]=>11110010 [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[4,1,2,1]=>[1,1,1,3,2]=>11110010 [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,1,3]=>[1,1,1,3,1,1]=>11110011 [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[4,2,1,1]=>[1,1,1,2,3]=>11110100 [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[4,2,2]=>[1,1,1,2,2,1]=>11110101 [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[4,2,1,1]=>[1,1,1,2,3]=>11110100 [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[4,2,1,1]=>[1,1,1,2,3]=>11110100 [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,2,2]=>[1,1,1,2,2,1]=>11110101 [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[4,2,1,1]=>[1,1,1,2,3]=>11110100 [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[4,2,1,1]=>[1,1,1,2,3]=>11110100 [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[4,2,1,1]=>[1,1,1,2,3]=>11110100 [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,2,2]=>[1,1,1,2,2,1]=>11110101 [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[4,2,1,1]=>[1,1,1,2,3]=>11110100 [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[4,2,1,1]=>[1,1,1,2,3]=>11110100 [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[4,2,1,1]=>[1,1,1,2,3]=>11110100 [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[4,2,1,1]=>[1,1,1,2,3]=>11110100 [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,2,2]=>[1,1,1,2,2,1]=>11110101 [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[4,2,1,1]=>[1,1,1,2,3]=>11110100 [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[4,2,1,1]=>[1,1,1,2,3]=>11110100 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[4,2,1,1]=>[1,1,1,2,3]=>11110100 [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,1]=>[1,1,1,2,3]=>11110100 [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,2,1,1]=>[1,1,1,2,3]=>11110100 [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,2,2]=>[1,1,1,2,2,1]=>11110101 [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,3,1]=>[1,1,1,2,1,2]=>11110110 [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,3,1]=>[1,1,1,2,1,2]=>11110110 [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,3,1]=>[1,1,1,2,1,2]=>11110110 [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,3,1]=>[1,1,1,2,1,2]=>11110110 [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,3,1]=>[1,1,1,2,1,2]=>11110110 [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,3,1]=>[1,1,1,2,1,2]=>11110110 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,4]=>[1,1,1,2,1,1,1]=>11110111 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>[1,1,1,1,4]=>11111000 [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,1,2]=>[1,1,1,1,3,1]=>11111001 [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[5,2,1]=>[1,1,1,1,2,2]=>11111010 [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,2,1]=>[1,1,1,1,2,2]=>11111010 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>[1,1,1,1,2,1,1]=>11111011 [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[5,1,1,1]=>[1,1,1,1,4]=>11111000 [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[5,1,2]=>[1,1,1,1,3,1]=>11111001 [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[5,1,1,1]=>[1,1,1,1,4]=>11111000 [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,1,1,1]=>[1,1,1,1,4]=>11111000 [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,1,2]=>[1,1,1,1,3,1]=>11111001 [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,2,1]=>[1,1,1,1,2,2]=>11111010 [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,2,1]=>[1,1,1,1,2,2]=>11111010 [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,2,1]=>[1,1,1,1,2,2]=>11111010 [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,3]=>[1,1,1,1,2,1,1]=>11111011 [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[5,1,1,1]=>[1,1,1,1,4]=>11111000 [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[5,1,2]=>[1,1,1,1,3,1]=>11111001 [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[5,1,1,1]=>[1,1,1,1,4]=>11111000 [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[5,1,1,1]=>[1,1,1,1,4]=>11111000 [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[5,1,2]=>[1,1,1,1,3,1]=>11111001 [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[5,1,1,1]=>[1,1,1,1,4]=>11111000 [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[5,1,1,1]=>[1,1,1,1,4]=>11111000 [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[5,1,1,1]=>[1,1,1,1,4]=>11111000 [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2]=>[1,1,1,1,3,1]=>11111001 [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,2,1]=>[1,1,1,1,2,2]=>11111010 [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,2,1]=>[1,1,1,1,2,2]=>11111010 [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[5,2,1]=>[1,1,1,1,2,2]=>11111010 [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,2,1]=>[1,1,1,1,2,2]=>11111010 [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,3]=>[1,1,1,1,2,1,1]=>11111011 [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>[1,1,1,1,4]=>11111000 [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[5,1,2]=>[1,1,1,1,3,1]=>11111001 [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[5,1,1,1]=>[1,1,1,1,4]=>11111000 [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[5,1,1,1]=>[1,1,1,1,4]=>11111000 [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,2]=>[1,1,1,1,3,1]=>11111001 [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[5,1,1,1]=>[1,1,1,1,4]=>11111000 [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>[1,1,1,1,4]=>11111000 [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>[1,1,1,1,4]=>11111000 [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,2]=>[1,1,1,1,3,1]=>11111001 [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[5,1,1,1]=>[1,1,1,1,4]=>11111000 [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>[1,1,1,1,4]=>11111000 [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>[1,1,1,1,4]=>11111000 [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>[1,1,1,1,4]=>11111000 [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[5,1,2]=>[1,1,1,1,3,1]=>11111001 [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,2,1]=>[1,1,1,1,2,2]=>11111010 [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,2,1]=>[1,1,1,1,2,2]=>11111010 [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,2,1]=>[1,1,1,1,2,2]=>11111010 [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,2,1]=>[1,1,1,1,2,2]=>11111010 [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,2,1]=>[1,1,1,1,2,2]=>11111010 [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,3]=>[1,1,1,1,2,1,1]=>11111011 [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[5,1,1,1]=>[1,1,1,1,4]=>11111000 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[5,1,2]=>[1,1,1,1,3,1]=>11111001 [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[5,1,1,1]=>[1,1,1,1,4]=>11111000 [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[5,1,1,1]=>[1,1,1,1,4]=>11111000 [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[5,1,2]=>[1,1,1,1,3,1]=>11111001 [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[5,1,1,1]=>[1,1,1,1,4]=>11111000 [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[5,1,1,1]=>[1,1,1,1,4]=>11111000 [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[5,1,1,1]=>[1,1,1,1,4]=>11111000 [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,1,2]=>[1,1,1,1,3,1]=>11111001 [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[5,1,1,1]=>[1,1,1,1,4]=>11111000 [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[5,1,1,1]=>[1,1,1,1,4]=>11111000 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[5,1,1,1]=>[1,1,1,1,4]=>11111000 [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,1,1,1]=>[1,1,1,1,4]=>11111000 [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,1,2]=>[1,1,1,1,3,1]=>11111001 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[5,1,1,1]=>[1,1,1,1,4]=>11111000 [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[5,1,1,1]=>[1,1,1,1,4]=>11111000 [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,1,1,1]=>[1,1,1,1,4]=>11111000 [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,1,1,1]=>[1,1,1,1,4]=>11111000 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,1,1,1]=>[1,1,1,1,4]=>11111000 [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,1,2]=>[1,1,1,1,3,1]=>11111001 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,2,1]=>[1,1,1,1,2,2]=>11111010 [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,2,1]=>[1,1,1,1,2,2]=>11111010 [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,2,1]=>[1,1,1,1,2,2]=>11111010 [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,1]=>[1,1,1,1,2,2]=>11111010 [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,2,1]=>[1,1,1,1,2,2]=>11111010 [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,2,1]=>[1,1,1,1,2,2]=>11111010 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,3]=>[1,1,1,1,2,1,1]=>11111011 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>[1,1,1,1,1,3]=>11111100 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>[1,1,1,1,1,2,1]=>11111101 [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,1]=>[1,1,1,1,1,3]=>11111100 [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,1]=>[1,1,1,1,1,3]=>11111100 [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,2]=>[1,1,1,1,1,2,1]=>11111101 [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,1]=>[1,1,1,1,1,3]=>11111100 [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,1]=>[1,1,1,1,1,3]=>11111100 [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,1]=>[1,1,1,1,1,3]=>11111100 [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,2]=>[1,1,1,1,1,2,1]=>11111101 [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,1,1]=>[1,1,1,1,1,3]=>11111100 [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,1]=>[1,1,1,1,1,3]=>11111100 [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,1]=>[1,1,1,1,1,3]=>11111100 [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,1]=>[1,1,1,1,1,3]=>11111100 [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,2]=>[1,1,1,1,1,2,1]=>11111101 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,1]=>[1,1,1,1,1,3]=>11111100 [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,1]=>[1,1,1,1,1,3]=>11111100 [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,1]=>[1,1,1,1,1,3]=>11111100 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,1]=>[1,1,1,1,1,3]=>11111100 [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,1]=>[1,1,1,1,1,3]=>11111100 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,2]=>[1,1,1,1,1,2,1]=>11111101 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,1,1]=>[1,1,1,1,1,3]=>11111100 [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,1,1]=>[1,1,1,1,1,3]=>11111100 [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,1,1]=>[1,1,1,1,1,3]=>11111100 [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,1,1]=>[1,1,1,1,1,3]=>11111100 [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,1,1]=>[1,1,1,1,1,3]=>11111100 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,1,1]=>[1,1,1,1,1,3]=>11111100 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,2]=>[1,1,1,1,1,2,1]=>11111101 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>[1,1,1,1,1,1,2]=>11111110 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1]=>[1,1,1,1,1,1,2]=>11111110 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1]=>[1,1,1,1,1,1,2]=>11111110 [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1]=>[1,1,1,1,1,1,2]=>11111110 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1]=>[1,1,1,1,1,1,2]=>11111110 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1]=>[1,1,1,1,1,1,2]=>11111110 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,1]=>[1,1,1,1,1,1,2]=>11111110 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>[1,1,1,1,1,1,1,1]=>11111111 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1]=>[1,1,1,1,1,1,1,2]=>111111110 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,8]=>[2,1,1,1,1,1,1,1]=>101111111 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,1]=>[1,1,1,1,1,1,1,1,2]=>1111111110 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[7,1,1]=>[1,1,1,1,1,1,3]=>111111100 [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,7,1]=>[2,1,1,1,1,1,2]=>101111110 [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,9]=>[2,1,1,1,1,1,1,1,1]=>1011111111 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[8,1,1]=>[1,1,1,1,1,1,1,3]=>1111111100 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>[7,1,1]=>[1,1,1,1,1,1,3]=>111111100 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>[6,2,1]=>[1,1,1,1,1,2,2]=>111111010 [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,7,1]=>[2,1,1,1,1,1,2]=>101111110 [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,6,2]=>[2,1,1,1,1,2,1]=>101111101 [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,8,1]=>[2,1,1,1,1,1,1,2]=>1011111110 [1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,7,1]=>[2,1,1,1,1,1,2]=>101111110 [1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,6,1,1]=>[2,1,1,1,1,3]=>101111100 [1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[1,8,1]=>[2,1,1,1,1,1,1,2]=>1011111110 [1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,5,3]=>[2,1,1,1,2,1,1]=>101111011 [1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,7,2]=>[2,1,1,1,1,1,2,1]=>1011111101 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]=>[6,2,1]=>[1,1,1,1,1,2,2]=>111111010 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[4,4,1]=>[1,1,1,2,1,1,2]=>111101110 [1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,7,1]=>[2,1,1,1,1,1,2]=>101111110 [1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[1,8,1]=>[2,1,1,1,1,1,1,2]=>1011111110 [1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,6,2]=>[2,1,1,1,1,2,1]=>101111101 [1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,4,4]=>[2,1,1,2,1,1,1]=>101110111 [1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,6,3]=>[2,1,1,1,1,2,1,1]=>1011111011 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,7,1]=>[2,1,1,1,1,1,2]=>101111110 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[1,8,1]=>[2,1,1,1,1,1,1,2]=>1011111110 [1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[1,6,1,1]=>[2,1,1,1,1,3]=>101111100 [1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,5,2,1]=>[2,1,1,1,2,2]=>101111010 [1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,5,1,2]=>[2,1,1,1,3,1]=>101111001 [1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[1,7,2]=>[2,1,1,1,1,1,2,1]=>1011111101 [1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,3,5]=>[2,1,2,1,1,1,1]=>101101111 [1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,5,4]=>[2,1,1,1,2,1,1,1]=>1011110111 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]=>[7,1,1]=>[1,1,1,1,1,1,3]=>111111100 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[2,6,1]=>[1,2,1,1,1,1,2]=>110111110 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[7,2]=>[1,1,1,1,1,1,2,1]=>111111101 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,7,1]=>[2,1,1,1,1,1,2]=>101111110 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[1,8,1]=>[2,1,1,1,1,1,1,2]=>1011111110 [1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[1,6,1,1]=>[2,1,1,1,1,3]=>101111100 [1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[1,7,1,1]=>[2,1,1,1,1,1,3]=>1011111100 [1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,4,2,2]=>[2,1,1,2,2,1]=>101110101 [1,0,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,6,1,2]=>[2,1,1,1,1,3,1]=>1011111001 [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,7]=>[1,2,1,1,1,1,1,1]=>110111111 [1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,6]=>[2,2,1,1,1,1,1]=>101011111 [1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,4,5]=>[2,1,1,2,1,1,1,1]=>1011101111 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[7,1,1]=>[1,1,1,1,1,1,3]=>111111100 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,7,1]=>[2,1,1,1,1,1,2]=>101111110 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]=>[6,1,2]=>[1,1,1,1,1,3,1]=>111111001 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[1,8,1]=>[2,1,1,1,1,1,1,2]=>1011111110 [1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[1,4,3,1]=>[2,1,1,2,1,2]=>101110110 [1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[1,5,1,2]=>[2,1,1,1,3,1]=>101111001 [1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,5,2,1]=>[2,1,1,1,2,2]=>101111010 [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,6,1]=>[1,2,1,1,1,1,2]=>110111110 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,7]=>[3,1,1,1,1,1,1]=>100111111 [1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,3,6]=>[2,1,2,1,1,1,1,1]=>1011011111 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[8,2]=>[1,1,1,1,1,1,1,2,1]=>1111111101 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[1,6,1,1]=>[2,1,1,1,1,3]=>101111100 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[1,8,1]=>[2,1,1,1,1,1,1,2]=>1011111110 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]=>[5,2,2]=>[1,1,1,1,2,2,1]=>111110101 [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,6,1]=>[1,2,1,1,1,1,2]=>110111110 [1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,5,2]=>[1,2,1,1,1,2,1]=>110111101 [1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,6,1]=>[3,1,1,1,1,2]=>100111110 [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,8]=>[1,2,1,1,1,1,1,1,1]=>1101111111 [1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,7]=>[2,2,1,1,1,1,1,1]=>1010111111 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,8,1]=>[2,1,1,1,1,1,1,2]=>1011111110 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[1,6,1,1]=>[2,1,1,1,1,3]=>101111100 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[1,5,2,1]=>[2,1,1,1,2,2]=>101111010 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,3,4,1]=>[2,1,2,1,1,2]=>101101110 [1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,5,1,1,1]=>[2,1,1,1,4]=>101111000 [1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,4,1,1,2]=>[2,1,1,4,1]=>101110001 [1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,5,1,1]=>[1,2,1,1,1,3]=>110111100 [1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,6,1]=>[3,1,1,1,1,2]=>100111110 [1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[2,7,1]=>[1,2,1,1,1,1,1,2]=>1101111110 [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,1,8]=>[3,1,1,1,1,1,1,1]=>1001111111 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,1,1,1,1,1,1]=>[1,8]=>110000000 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,1,1,1,1,1,2]=>[1,7,1]=>110000001 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,1,1,1,1,2,1]=>[1,6,2]=>110000010 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,1,1,1,1,2,1]=>[1,6,2]=>110000010 [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,1,1,1,3]=>[1,6,1,1]=>110000011 [1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,1,1,2,2]=>[1,5,2,1]=>110000101 [1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,1,1,4]=>[1,5,1,1,1]=>110000111 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,1,1,2,1,1,1]=>[1,4,4]=>110001000 [1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,1,1,2,3]=>[1,4,2,1,1]=>110001011 [1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,1,5]=>[1,4,1,1,1,1]=>110001111 [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,1,2,1,1,1,1]=>[1,3,5]=>110010000 [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[2,1,2,1,1,1,1]=>[1,3,5]=>110010000 [1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,1,2,4]=>[1,3,2,1,1,1]=>110010111 [1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,1,6]=>[1,3,1,1,1,1,1]=>110011111 [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,2,2,1,1,1]=>[1,2,2,4]=>110101000 [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[2,2,1,1,1,1,1]=>[1,2,6]=>110100000 [1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,2,5]=>[1,2,2,1,1,1,1]=>110101111 [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[2,3,1,1,1,1]=>[1,2,1,5]=>110110000 [1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[2,4,3]=>[1,2,1,1,2,1,1]=>110111011 [1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,5,2]=>[1,2,1,1,1,2,1]=>110111101 [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,7]=>[1,2,1,1,1,1,1,1]=>110111111 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1,1]=>[1,1,7]=>111000000 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[3,1,1,1,1,2]=>[1,1,6,1]=>111000001 [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,2,1,1,1,1]=>[1,1,2,5]=>111010000 [1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,5,1]=>[1,1,2,1,1,1,2]=>111011110 [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,6]=>[1,1,2,1,1,1,1,1]=>111011111 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1,1]=>[1,1,7]=>111000000 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1,1]=>[1,1,7]=>111000000 [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1,1]=>[1,1,7]=>111000000 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,1,1,1,1,1,1]=>[1,1,7]=>111000000 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,1,1,1,1,1,1]=>[1,1,7]=>111000000 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,1,1,1,1,1,1]=>[1,1,7]=>111000000 [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,1,1,1,1,2]=>[1,1,6,1]=>111000001 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,1,1,1,2,1]=>[1,1,5,2]=>111000010 [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,1,1,2,1,1]=>[1,1,4,3]=>111000100 [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[3,1,2,1,1,1]=>[1,1,3,4]=>111001000 [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[3,2,1,1,1,1]=>[1,1,2,5]=>111010000 [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[3,2,1,1,1,1]=>[1,1,2,5]=>111010000 [1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[3,4,2]=>[1,1,2,1,1,2,1]=>111011101 [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,6]=>[1,1,2,1,1,1,1,1]=>111011111 [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[4,1,1,1,1,1]=>[1,1,1,6]=>111100000 [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[4,1,1,1,1,1]=>[1,1,1,6]=>111100000 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[4,1,1,1,1,1]=>[1,1,1,6]=>111100000 [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[4,1,1,1,1,1]=>[1,1,1,6]=>111100000 [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[4,1,1,1,1,1]=>[1,1,1,6]=>111100000 [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[4,1,1,1,1,1]=>[1,1,1,6]=>111100000 [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[4,1,1,1,1,1]=>[1,1,1,6]=>111100000 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,1,1,1,1,1]=>[1,1,1,6]=>111100000 [1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[4,3,2]=>[1,1,1,2,1,2,1]=>111101101 [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[5,1,1,1,1]=>[1,1,1,1,5]=>111110000 [1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[5,4]=>[1,1,1,1,2,1,1,1]=>111110111 [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0]=>[5,1,1,1,1]=>[1,1,1,1,5]=>111110000 [1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]=>[5,3,1]=>[1,1,1,1,2,1,2]=>111110110 [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0]=>[6,1,1,1]=>[1,1,1,1,1,4]=>111111000 [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0]=>[6,1,1,1]=>[1,1,1,1,1,4]=>111111000 [1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0]=>[6,3]=>[1,1,1,1,1,2,1,1]=>111111011 [1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0]=>[6,3]=>[1,1,1,1,1,2,1,1]=>111111011 [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[6,2,1]=>[1,1,1,1,1,2,2]=>111111010 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]=>[7,1,1]=>[1,1,1,1,1,1,3]=>111111100 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0]=>[7,1,1]=>[1,1,1,1,1,1,3]=>111111100 [1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]=>[7,2]=>[1,1,1,1,1,1,2,1]=>111111101 [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[7,2]=>[1,1,1,1,1,1,2,1]=>111111101 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>[7,1,1]=>[1,1,1,1,1,1,3]=>111111100 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0]=>[7,1,1]=>[1,1,1,1,1,1,3]=>111111100 [1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0]=>[7,1,1]=>[1,1,1,1,1,1,3]=>111111100 [1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0]=>[7,1,1]=>[1,1,1,1,1,1,3]=>111111100 [1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0]=>[7,1,1]=>[1,1,1,1,1,1,3]=>111111100 [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[7,1,1]=>[1,1,1,1,1,1,3]=>111111100 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[7,2]=>[1,1,1,1,1,1,2,1]=>111111101 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[8,1]=>[1,1,1,1,1,1,1,2]=>111111110 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[8,1]=>[1,1,1,1,1,1,1,2]=>111111110 [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[8,1]=>[1,1,1,1,1,1,1,2]=>111111110 [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[8,1]=>[1,1,1,1,1,1,1,2]=>111111110 [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[8,1]=>[1,1,1,1,1,1,1,2]=>111111110 [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,1]=>[1,1,1,1,1,1,1,2]=>111111110 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,1]=>[1,1,1,1,1,1,1,2]=>111111110 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>[1,1,1,1,1,1,1,1,1]=>111111111 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,1,1,1]=>[9]=>100000000 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,1,1,1,2]=>[8,1]=>100000001 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,1,1,2,1]=>[7,2]=>100000010 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,1,2,1,1]=>[6,3]=>100000100 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,2,1,1,1]=>[5,4]=>100001000 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,2,1,1,1,1]=>[4,5]=>100010000 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,2,1,1,1,1,1]=>[3,6]=>100100000 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,1,1,1,1,1,1]=>[2,7]=>101000000 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,1,1,1,1]=>[10]=>1000000000 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,1,1,1,1,2]=>[9,1]=>1000000001 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,1,1,3]=>[7,1,1]=>100000011 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,1,1,1,2,1]=>[8,2]=>1000000010 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,1,3,1]=>[6,1,2]=>100000110 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,1,1,2,1,1]=>[7,3]=>1000000100 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,3,1,1]=>[5,1,3]=>100001100 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,2,1,1,1]=>[6,4]=>1000001000 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,3,1,1,1]=>[4,1,4]=>100011000 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,2,1,1,1,1]=>[5,5]=>1000010000 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,3,1,1,1,1]=>[3,1,5]=>100110000 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,2,1,1,1,1,1]=>[4,6]=>1000100000 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,1,1,1,1,1]=>[2,1,6]=>101100000 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,2,1,1,1,1,1,1]=>[3,7]=>1001000000 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,1,1,1,1,1,1,1]=>[2,8]=>1010000000 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,1,1,1,1,1,1,1]=>[1,9]=>1100000000 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,1,1,1,3]=>[8,1,1]=>1000000011 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,1,3,1]=>[6,1,2]=>100000110 [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,4]=>[6,1,1,1]=>100000111 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1,1,1]=>[1,1,8]=>1110000000 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,1,1,3,1]=>[7,1,2]=>1000000110 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,3,1,1]=>[5,1,3]=>100001100 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,1,4]=>[7,1,1,1]=>1000000111 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,3,1,1,1,1,1]=>[2,1,6]=>101100000 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1,1,1]=>[1,1,8]=>1110000000 [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[4,1,1,1,1,1,1]=>[1,1,1,7]=>1111000000 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,3,1,1]=>[6,1,3]=>1000001100 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,3,1,1,1]=>[4,1,4]=>100011000 [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,5]=>[5,1,1,1,1]=>100001111 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1,1,1]=>[1,1,8]=>1110000000 [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[4,1,1,1,1,1,1]=>[1,1,1,7]=>1111000000 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,3,1,1,1]=>[5,1,4]=>1000011000 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,3,1,1,1,1]=>[3,1,5]=>100110000 [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,5]=>[6,1,1,1,1]=>1000001111 [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1,1,1]=>[1,1,8]=>1110000000 [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[5,1,1,1,1,1]=>[1,1,1,1,6]=>1111100000 [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[4,1,1,1,1,1,1]=>[1,1,1,7]=>1111000000 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,3,1,1,1,1]=>[4,1,5]=>1000110000 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,3,1,1,1,1,1]=>[2,1,6]=>101100000 [1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,3,1,1,1,2]=>[2,1,5,1]=>101100001 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,1,1,1,1,1,1,1]=>[1,1,8]=>1110000000 [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,6]=>[4,1,1,1,1,1]=>100011111 [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[4,1,1,1,1,1,1]=>[1,1,1,7]=>1111000000 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,3,1,1,1,1,1]=>[3,1,6]=>1001100000 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,1,1,1,1,1,1,1]=>[1,1,8]=>1110000000 [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,6]=>[5,1,1,1,1,1]=>1000011111 [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[6,1,1,1,1]=>[1,1,1,1,1,5]=>1111110000 [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[4,1,1,1,1,1,1]=>[1,1,1,7]=>1111000000 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,3,1,1,1,1,1,1]=>[2,1,7]=>1011000000 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,1,1,1,1,1,1,1]=>[1,1,8]=>1110000000 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,3,1,1,1,1,2]=>[2,1,6,1]=>1011000001 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[4,1,1,1,1,1,1]=>[1,1,1,7]=>1111000000 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,1,1,2,1]=>[7,2]=>100000010 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,1,2,1,1]=>[6,3]=>100000100 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,1,2,2]=>[6,2,1]=>100000101 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,1,3,1]=>[6,1,2]=>100000110 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,1,2,1,1,1]=>[5,4]=>100001000 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,1,1,2,3]=>[5,2,1,1]=>100001011 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,2,1,1,1,1]=>[4,5]=>100010000 [1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,2,4]=>[4,2,1,1,1]=>100010111 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,2,1,1,1,1,1]=>[3,6]=>100100000 [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,2,5]=>[3,2,1,1,1,1]=>100101111 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,6,1]=>[3,1,1,1,1,2]=>100111110 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,1,1,1,1,1,1]=>[2,7]=>101000000 [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,6]=>[2,2,1,1,1,1,1]=>101011111 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1,1]=>[1,8]=>110000000 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,1,1,1,1,2]=>[1,7,1]=>110000001 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,1,1,1,2,1]=>[1,6,2]=>110000010 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,1,1,2,1,1]=>[1,5,3]=>110000100 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,1,1,2,2]=>[1,5,2,1]=>110000101 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,1,2,1,1,1]=>[1,4,4]=>110001000 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,2,1,1,1,1]=>[1,3,5]=>110010000 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,2,1,1,1,1,1]=>[1,2,6]=>110100000 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1,1]=>[1,1,7]=>111000000 [1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,1,5]=>[1,1,3,1,1,1,1]=>111001111 [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[3,6]=>[1,1,2,1,1,1,1,1]=>111011111 [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,5]=>[1,1,1,2,1,1,1,1]=>111101111 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[5,4]=>[1,1,1,1,2,1,1,1]=>111110111 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>[6,3]=>[1,1,1,1,1,2,1,1]=>111111011 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,1,1,1,2,1]=>[8,2]=>1000000010 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,1,1,2,1,1]=>[7,3]=>1000000100 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,1,1,2,1,1,1]=>[6,4]=>1000001000 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,2,1,1,1,1]=>[5,5]=>1000010000 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,2,1,1,1,1,1]=>[4,6]=>1000100000 [1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,7]=>[4,1,1,1,1,1,1]=>1000111111 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,2,1,1,1,1,1,1]=>[3,7]=>1001000000 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,1,1,1,1,1,1,1]=>[2,8]=>1010000000 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1,1,1]=>[1,9]=>1100000000 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,1,1,1,1,1,2]=>[1,8,1]=>1100000001 [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,7]=>[1,1,2,1,1,1,1,1,1]=>1110111111 [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[4,6]=>[1,1,1,2,1,1,1,1,1]=>1111011111 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[5,5]=>[1,1,1,1,2,1,1,1,1]=>1111101111 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[6,4]=>[1,1,1,1,1,2,1,1,1]=>1111110111 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]=>[7,3]=>[1,1,1,1,1,1,2,1,1]=>1111111011 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>[1,1,1,1,1,1,1,1,1,1]=>1111111111 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1,1]=>[1,8]=>110000000 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1,1]=>[1,8]=>110000000 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1,1]=>[1,8]=>110000000 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1,1]=>[1,8]=>110000000 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,1,1,1,1,1,1,1]=>[1,8]=>110000000 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,1,1,1,1,1,1]=>[1,8]=>110000000 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1,1,1]=>[1,9]=>1100000000 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,2,1,1,1,1,1]=>[1,2,6]=>110100000 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1,1,1]=>[1,9]=>1100000000 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,1,2,1,1,1,1]=>[1,3,5]=>110010000 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1,1,1]=>[1,9]=>1100000000 [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,1,2,1,1,1]=>[1,4,4]=>110001000 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1,1,1]=>[1,9]=>1100000000 [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,1,1,1,2,1,1]=>[1,5,3]=>110000100 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1,1,1]=>[1,9]=>1100000000 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,1,1,1,1,2,1]=>[1,6,2]=>110000010 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,1,1,1,1,1,1,1,1]=>[1,9]=>1100000000 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,1,1,1,1,1,1,1]=>[1,9]=>1100000000 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,1,1,1,2,1]=>[1,6,2]=>110000010 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,1,1,1,1,1,1,2]=>[1,8,1]=>1100000001 [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[9,1]=>[1,1,1,1,1,1,1,1,2]=>1111111110 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,1,1,1,1,2,1]=>[1,7,2]=>1100000010 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,1,1,1,1,1,1]=>[1,1,7]=>111000000 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1,1]=>[1,1,7]=>111000000 [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,8]=>[1,2,1,1,1,1,1,1,1]=>1101111111 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[9,1]=>[1,1,1,1,1,1,1,1,2]=>1111111110 [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1,1]=>[1,1,7]=>111000000 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,1]=>[1,1,1,1,1,1,1,1,2]=>1111111110 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[3,1,1,1,1,2]=>[1,1,6,1]=>111000001 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,3,1,1,1,1]=>[1,2,1,5]=>110110000 [1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,6]=>[1,3,1,1,1,1,1]=>110011111 [1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,1,5]=>[1,1,3,1,1,1,1]=>111001111 [1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,1,4]=>[1,1,1,3,1,1,1]=>111100111 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,1,3]=>[1,1,1,1,3,1,1]=>111110011 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[1,4,1,1,1,1]=>[2,1,1,5]=>101110000 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,1,1,1,1,1]=>[1,1,7]=>111000000 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,1,1,1,1,1,2]=>[1,7,1]=>110000001 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,2,1,1,1,1,1]=>[1,2,6]=>110100000 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,1,1,1,1,3]=>[1,7,1,1]=>1100000011 [1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,4,1,1,1]=>[1,2,1,1,4]=>110111000 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,1,1,1,1,1,1]=>[1,1,1,7]=>1111000000 [1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[4,4,1]=>[1,1,1,2,1,1,2]=>111101110 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0]=>[6,2,1]=>[1,1,1,1,1,2,2]=>111111010 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[9,1]=>[1,1,1,1,1,1,1,1,2]=>1111111110 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0]=>[5,3,1]=>[1,1,1,1,2,1,2]=>111110110 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[9,1]=>[1,1,1,1,1,1,1,1,2]=>1111111110 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[9,1]=>[1,1,1,1,1,1,1,1,2]=>1111111110 [1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,5,1]=>[1,1,2,1,1,1,2]=>111011110 [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[9,1]=>[1,1,1,1,1,1,1,1,2]=>1111111110 [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[9,1]=>[1,1,1,1,1,1,1,1,2]=>1111111110 [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0]=>[6,1,2]=>[1,1,1,1,1,3,1]=>111111001 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,1,1,1,1,2,1]=>[1,6,2]=>110000010 [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,1,1,2,1,1]=>[1,5,3]=>110000100 [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,1,2,1,1,1]=>[1,4,4]=>110001000 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,2,1,1,1,1]=>[1,3,5]=>110010000 [1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,1,7]=>[1,3,1,1,1,1,1,1]=>1100111111 [1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,1,1,6]=>[1,4,1,1,1,1,1]=>1100011111 [1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,1,1,5]=>[1,5,1,1,1,1]=>1100001111 [1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,1,1,1,4]=>[1,6,1,1,1]=>1100000111 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,1,1,1,1,2,1,1]=>[1,6,3]=>1100000100 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,1,1,1,1,1,1,1]=>[1,1,8]=>1110000000 [1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[8,2]=>[1,1,1,1,1,1,1,2,1]=>1111111101 [1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0]=>[8,2]=>[1,1,1,1,1,1,1,2,1]=>1111111101 [1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0]=>[7,3]=>[1,1,1,1,1,1,2,1,1]=>1111111011 [1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0]=>[7,3]=>[1,1,1,1,1,1,2,1,1]=>1111111011 [1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0]=>[6,4]=>[1,1,1,1,1,2,1,1,1]=>1111110111 [1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[6,4]=>[1,1,1,1,1,2,1,1,1]=>1111110111 [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[4,1,1,1,1,1]=>[1,1,1,6]=>111100000 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,1,2,2]=>[6,2,1]=>100000101 [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,1,1,1,1]=>[1,1,2,5]=>111010000 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,1,1,1,1,1,1]=>[2,7]=>101000000 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,2,1,1,1,1,1,1]=>[1,2,7]=>1101000000 [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[8,1,1]=>[1,1,1,1,1,1,1,3]=>1111111100 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,1,1,1,1,2,1,1]=>[1,6,3]=>1100000100 [1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,1,1,3,1]=>[1,1,4,1,2]=>111000110 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,1,2,1,1]=>[6,3]=>100000100 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,2,1,1,1,1,1,1]=>[2,7]=>101000000 [1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,1,1,1,3]=>[1,1,5,1,1]=>111000011 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,1,1,1,2,1,1]=>[1,5,3]=>110000100 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,1,1,1,2,1,1]=>[1,5,3]=>110000100 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,2,2,1,1,1,1]=>[2,2,5]=>101010000 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1,1,1]=>[1,1,8]=>1110000000 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,1,2,1,1,1,1,1]=>[4,6]=>1000100000 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,1,1,2,1,1]=>[1,5,3]=>110000100 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,2,1,1,1,1,1,1,1]=>[2,8]=>1010000000 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,1,1,1,1,1,1,1]=>[2,8]=>1010000000 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,2,1,1,1,1,1,1]=>[3,7]=>1001000000 [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,2,1,1,1,1,1]=>[1,2,6]=>110100000 [1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[1,5,3]=>[2,1,1,1,2,1,1]=>101111011 [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[4,1,1,1,1,1]=>[1,1,1,6]=>111100000 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,1,1,1,1,1,1]=>[1,1,8]=>1110000000 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,1,1,1,1,1]=>[1,1,7]=>111000000 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,2,1,1,1,1,1]=>[1,2,6]=>110100000 [1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,5,1,1,1,1]=>[2,1,1,1,5]=>1011110000 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,1,1,2,1,1]=>[1,5,3]=>110000100 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,3,1,1,1,1,1]=>[1,2,1,6]=>1101100000 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,2,1,1,1,1,1]=>[1,2,6]=>110100000 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0]=>[8,1,1]=>[1,1,1,1,1,1,1,3]=>1111111100 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0]=>[7,1,1,1]=>[1,1,1,1,1,1,4]=>1111111000 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,2,3,1,1,1]=>[2,2,1,4]=>101011000 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,2,1,1,1,1]=>[2,2,5]=>101010000 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,1,1,1,1,1,2,1]=>[1,7,2]=>1100000010 [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[3,1,1,1,1,1,1]=>[1,1,7]=>111000000 [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[3,1,1,1,1,1,1]=>[1,1,7]=>111000000 [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[1,7,1,1]=>[2,1,1,1,1,1,3]=>1011111100 [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,1,1,2,1,1,1]=>[1,4,4]=>110001000 [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[2,1,2,1,1,1,1]=>[1,3,5]=>110010000 [1,0,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,4,1,1,1,2]=>[2,1,1,5,1]=>1011100001 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,3,1,1,1,2]=>[2,1,5,1]=>101100001 [1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,2,2,1,1,2]=>[2,2,4,1]=>101010001 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[1,4,1,1,1,1]=>[2,1,1,5]=>101110000 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,3,2,1,1,1]=>[2,1,2,4]=>101101000 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,4,1,1,1,1,1]=>[2,1,1,6]=>1011100000 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[3,1,1,1,1,1,1,1]=>[1,1,8]=>1110000000 [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,2,1,1,1,1,1]=>[1,2,6]=>110100000 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,1,1,3,1]=>[1,5,1,2]=>110000110 [1,1,0,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2,7,1]=>[1,2,1,1,1,1,1,2]=>1101111110 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,1,1,2,1,1]=>[2,4,3]=>101000100 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,1,1,1,2,1,1]=>[1,6,3]=>1100000100 [1,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,6,1,1]=>[1,2,1,1,1,1,3]=>1101111100 [1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,5,1,1]=>[1,2,1,1,1,3]=>110111100 [1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[2,5,1,1,1]=>[1,2,1,1,1,4]=>1101111000 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[2,4,1,1,1]=>[1,2,1,1,4]=>110111000 [1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[2,4,1,1,1,1]=>[1,2,1,1,5]=>1101110000 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,3,1,1,1,1]=>[1,2,1,5]=>110110000 [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[2,1,2,1,1,1,1]=>[1,3,5]=>110010000 [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[4,1,1,1,2]=>[1,1,1,5,1]=>111100001 [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[4,1,1,2,1]=>[1,1,1,4,2]=>111100010 [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[4,1,2,1,1]=>[1,1,1,3,3]=>111100100 [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[3,1,2,1,1,1]=>[1,1,3,4]=>111001000 [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,2,1,1,1,1,1]=>[1,2,6]=>110100000 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,3,1,1,1,1,1]=>[2,1,6]=>101100000 [1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[3,1,3,1,1]=>[1,1,3,1,3]=>111001100 [1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[3,3,1,1,1]=>[1,1,2,1,4]=>111011000 [1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,1,5]=>[1,1,3,1,1,1,1]=>111001111 [1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[4,1,4]=>[1,1,1,3,1,1,1]=>111100111 [1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0]=>[5,1,3]=>[1,1,1,1,3,1,1]=>111110011 [1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[4,2,3]=>[1,1,1,2,2,1,1]=>111101011 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,2,2,1,1,1,1]=>[2,2,5]=>101010000 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,2,2,1,1,1,1,1]=>[2,2,6]=>1010100000 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,2,5,1]=>[2,2,1,1,1,2]=>101011110 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,1,1,1,1,2,1,1]=>[1,6,3]=>1100000100 [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[3,1,1,1,1,1,1]=>[1,1,7]=>111000000