=>

[1,0]=>[1]=>1=>[1,1] [1,0,1,0]=>[1,1]=>11=>[1,1,1] [1,1,0,0]=>[2]=>10=>[1,2] [1,0,1,0,1,0]=>[1,1,1]=>111=>[1,1,1,1] [1,0,1,1,0,0]=>[1,2]=>110=>[1,1,2] [1,1,0,0,1,0]=>[2,1]=>101=>[1,2,1] [1,1,0,1,0,0]=>[3]=>100=>[1,3] [1,1,1,0,0,0]=>[3]=>100=>[1,3] [1,0,1,0,1,0,1,0]=>[1,1,1,1]=>1111=>[1,1,1,1,1] [1,0,1,0,1,1,0,0]=>[1,1,2]=>1110=>[1,1,1,2] [1,0,1,1,0,0,1,0]=>[1,2,1]=>1101=>[1,1,2,1] [1,0,1,1,0,1,0,0]=>[1,3]=>1100=>[1,1,3] [1,0,1,1,1,0,0,0]=>[1,3]=>1100=>[1,1,3] [1,1,0,0,1,0,1,0]=>[2,1,1]=>1011=>[1,2,1,1] [1,1,0,0,1,1,0,0]=>[2,2]=>1010=>[1,2,2] [1,1,0,1,0,0,1,0]=>[3,1]=>1001=>[1,3,1] [1,1,0,1,0,1,0,0]=>[4]=>1000=>[1,4] [1,1,0,1,1,0,0,0]=>[4]=>1000=>[1,4] [1,1,1,0,0,0,1,0]=>[3,1]=>1001=>[1,3,1] [1,1,1,0,0,1,0,0]=>[4]=>1000=>[1,4] [1,1,1,0,1,0,0,0]=>[4]=>1000=>[1,4] [1,1,1,1,0,0,0,0]=>[4]=>1000=>[1,4] [1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1]=>11111=>[1,1,1,1,1,1] [1,0,1,0,1,0,1,1,0,0]=>[1,1,1,2]=>11110=>[1,1,1,1,2] [1,0,1,0,1,1,0,0,1,0]=>[1,1,2,1]=>11101=>[1,1,1,2,1] [1,0,1,0,1,1,0,1,0,0]=>[1,1,3]=>11100=>[1,1,1,3] [1,0,1,0,1,1,1,0,0,0]=>[1,1,3]=>11100=>[1,1,1,3] [1,0,1,1,0,0,1,0,1,0]=>[1,2,1,1]=>11011=>[1,1,2,1,1] [1,0,1,1,0,0,1,1,0,0]=>[1,2,2]=>11010=>[1,1,2,2] [1,0,1,1,0,1,0,0,1,0]=>[1,3,1]=>11001=>[1,1,3,1] [1,0,1,1,0,1,0,1,0,0]=>[1,4]=>11000=>[1,1,4] [1,0,1,1,0,1,1,0,0,0]=>[1,4]=>11000=>[1,1,4] [1,0,1,1,1,0,0,0,1,0]=>[1,3,1]=>11001=>[1,1,3,1] [1,0,1,1,1,0,0,1,0,0]=>[1,4]=>11000=>[1,1,4] [1,0,1,1,1,0,1,0,0,0]=>[1,4]=>11000=>[1,1,4] [1,0,1,1,1,1,0,0,0,0]=>[1,4]=>11000=>[1,1,4] [1,1,0,0,1,0,1,0,1,0]=>[2,1,1,1]=>10111=>[1,2,1,1,1] [1,1,0,0,1,0,1,1,0,0]=>[2,1,2]=>10110=>[1,2,1,2] [1,1,0,0,1,1,0,0,1,0]=>[2,2,1]=>10101=>[1,2,2,1] [1,1,0,0,1,1,0,1,0,0]=>[2,3]=>10100=>[1,2,3] [1,1,0,0,1,1,1,0,0,0]=>[2,3]=>10100=>[1,2,3] [1,1,0,1,0,0,1,0,1,0]=>[3,1,1]=>10011=>[1,3,1,1] [1,1,0,1,0,0,1,1,0,0]=>[3,2]=>10010=>[1,3,2] [1,1,0,1,0,1,0,0,1,0]=>[4,1]=>10001=>[1,4,1] [1,1,0,1,0,1,0,1,0,0]=>[5]=>10000=>[1,5] [1,1,0,1,0,1,1,0,0,0]=>[5]=>10000=>[1,5] [1,1,0,1,1,0,0,0,1,0]=>[4,1]=>10001=>[1,4,1] [1,1,0,1,1,0,0,1,0,0]=>[5]=>10000=>[1,5] [1,1,0,1,1,0,1,0,0,0]=>[5]=>10000=>[1,5] [1,1,0,1,1,1,0,0,0,0]=>[5]=>10000=>[1,5] [1,1,1,0,0,0,1,0,1,0]=>[3,1,1]=>10011=>[1,3,1,1] [1,1,1,0,0,0,1,1,0,0]=>[3,2]=>10010=>[1,3,2] [1,1,1,0,0,1,0,0,1,0]=>[4,1]=>10001=>[1,4,1] [1,1,1,0,0,1,0,1,0,0]=>[5]=>10000=>[1,5] [1,1,1,0,0,1,1,0,0,0]=>[5]=>10000=>[1,5] [1,1,1,0,1,0,0,0,1,0]=>[4,1]=>10001=>[1,4,1] [1,1,1,0,1,0,0,1,0,0]=>[5]=>10000=>[1,5] [1,1,1,0,1,0,1,0,0,0]=>[5]=>10000=>[1,5] [1,1,1,0,1,1,0,0,0,0]=>[5]=>10000=>[1,5] [1,1,1,1,0,0,0,0,1,0]=>[4,1]=>10001=>[1,4,1] [1,1,1,1,0,0,0,1,0,0]=>[5]=>10000=>[1,5] [1,1,1,1,0,0,1,0,0,0]=>[5]=>10000=>[1,5] [1,1,1,1,0,1,0,0,0,0]=>[5]=>10000=>[1,5] [1,1,1,1,1,0,0,0,0,0]=>[5]=>10000=>[1,5] [1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,1]=>111111=>[1,1,1,1,1,1,1] [1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,2]=>111110=>[1,1,1,1,1,2] [1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,2,1]=>111101=>[1,1,1,1,2,1] [1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,3]=>111100=>[1,1,1,1,3] [1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,3]=>111100=>[1,1,1,1,3] [1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,2,1,1]=>111011=>[1,1,1,2,1,1] [1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,2,2]=>111010=>[1,1,1,2,2] [1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,3,1]=>111001=>[1,1,1,3,1] [1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,4]=>111000=>[1,1,1,4] [1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,4]=>111000=>[1,1,1,4] [1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,3,1]=>111001=>[1,1,1,3,1] [1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,4]=>111000=>[1,1,1,4] [1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,4]=>111000=>[1,1,1,4] [1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,4]=>111000=>[1,1,1,4] [1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,1,1,1]=>110111=>[1,1,2,1,1,1] [1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,1,2]=>110110=>[1,1,2,1,2] [1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,2,1]=>110101=>[1,1,2,2,1] [1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,3]=>110100=>[1,1,2,3] [1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,3]=>110100=>[1,1,2,3] [1,0,1,1,0,1,0,0,1,0,1,0]=>[1,3,1,1]=>110011=>[1,1,3,1,1] [1,0,1,1,0,1,0,0,1,1,0,0]=>[1,3,2]=>110010=>[1,1,3,2] [1,0,1,1,0,1,0,1,0,0,1,0]=>[1,4,1]=>110001=>[1,1,4,1] [1,0,1,1,0,1,0,1,0,1,0,0]=>[1,5]=>110000=>[1,1,5] [1,0,1,1,0,1,0,1,1,0,0,0]=>[1,5]=>110000=>[1,1,5] [1,0,1,1,0,1,1,0,0,0,1,0]=>[1,4,1]=>110001=>[1,1,4,1] [1,0,1,1,0,1,1,0,0,1,0,0]=>[1,5]=>110000=>[1,1,5] [1,0,1,1,0,1,1,0,1,0,0,0]=>[1,5]=>110000=>[1,1,5] [1,0,1,1,0,1,1,1,0,0,0,0]=>[1,5]=>110000=>[1,1,5] [1,0,1,1,1,0,0,0,1,0,1,0]=>[1,3,1,1]=>110011=>[1,1,3,1,1] [1,0,1,1,1,0,0,0,1,1,0,0]=>[1,3,2]=>110010=>[1,1,3,2] [1,0,1,1,1,0,0,1,0,0,1,0]=>[1,4,1]=>110001=>[1,1,4,1] [1,0,1,1,1,0,0,1,0,1,0,0]=>[1,5]=>110000=>[1,1,5] [1,0,1,1,1,0,0,1,1,0,0,0]=>[1,5]=>110000=>[1,1,5] [1,0,1,1,1,0,1,0,0,0,1,0]=>[1,4,1]=>110001=>[1,1,4,1] [1,0,1,1,1,0,1,0,0,1,0,0]=>[1,5]=>110000=>[1,1,5] [1,0,1,1,1,0,1,0,1,0,0,0]=>[1,5]=>110000=>[1,1,5] [1,0,1,1,1,0,1,1,0,0,0,0]=>[1,5]=>110000=>[1,1,5] [1,0,1,1,1,1,0,0,0,0,1,0]=>[1,4,1]=>110001=>[1,1,4,1] [1,0,1,1,1,1,0,0,0,1,0,0]=>[1,5]=>110000=>[1,1,5] [1,0,1,1,1,1,0,0,1,0,0,0]=>[1,5]=>110000=>[1,1,5] [1,0,1,1,1,1,0,1,0,0,0,0]=>[1,5]=>110000=>[1,1,5] [1,0,1,1,1,1,1,0,0,0,0,0]=>[1,5]=>110000=>[1,1,5] [1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1]=>101111=>[1,2,1,1,1,1] [1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,1,2]=>101110=>[1,2,1,1,2] [1,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,2,1]=>101101=>[1,2,1,2,1] [1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,3]=>101100=>[1,2,1,3] [1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,3]=>101100=>[1,2,1,3] [1,1,0,0,1,1,0,0,1,0,1,0]=>[2,2,1,1]=>101011=>[1,2,2,1,1] [1,1,0,0,1,1,0,0,1,1,0,0]=>[2,2,2]=>101010=>[1,2,2,2] [1,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,1]=>101001=>[1,2,3,1] [1,1,0,0,1,1,0,1,0,1,0,0]=>[2,4]=>101000=>[1,2,4] [1,1,0,0,1,1,0,1,1,0,0,0]=>[2,4]=>101000=>[1,2,4] [1,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,1]=>101001=>[1,2,3,1] [1,1,0,0,1,1,1,0,0,1,0,0]=>[2,4]=>101000=>[1,2,4] [1,1,0,0,1,1,1,0,1,0,0,0]=>[2,4]=>101000=>[1,2,4] [1,1,0,0,1,1,1,1,0,0,0,0]=>[2,4]=>101000=>[1,2,4] [1,1,0,1,0,0,1,0,1,0,1,0]=>[3,1,1,1]=>100111=>[1,3,1,1,1] [1,1,0,1,0,0,1,0,1,1,0,0]=>[3,1,2]=>100110=>[1,3,1,2] [1,1,0,1,0,0,1,1,0,0,1,0]=>[3,2,1]=>100101=>[1,3,2,1] [1,1,0,1,0,0,1,1,0,1,0,0]=>[3,3]=>100100=>[1,3,3] [1,1,0,1,0,0,1,1,1,0,0,0]=>[3,3]=>100100=>[1,3,3] [1,1,0,1,0,1,0,0,1,0,1,0]=>[4,1,1]=>100011=>[1,4,1,1] [1,1,0,1,0,1,0,0,1,1,0,0]=>[4,2]=>100010=>[1,4,2] [1,1,0,1,0,1,0,1,0,0,1,0]=>[5,1]=>100001=>[1,5,1] [1,1,0,1,0,1,0,1,0,1,0,0]=>[6]=>100000=>[1,6] [1,1,0,1,0,1,0,1,1,0,0,0]=>[6]=>100000=>[1,6] [1,1,0,1,0,1,1,0,0,0,1,0]=>[5,1]=>100001=>[1,5,1] [1,1,0,1,0,1,1,0,0,1,0,0]=>[6]=>100000=>[1,6] [1,1,0,1,0,1,1,0,1,0,0,0]=>[6]=>100000=>[1,6] [1,1,0,1,0,1,1,1,0,0,0,0]=>[6]=>100000=>[1,6] [1,1,0,1,1,0,0,0,1,0,1,0]=>[4,1,1]=>100011=>[1,4,1,1] [1,1,0,1,1,0,0,0,1,1,0,0]=>[4,2]=>100010=>[1,4,2] [1,1,0,1,1,0,0,1,0,0,1,0]=>[5,1]=>100001=>[1,5,1] [1,1,0,1,1,0,0,1,0,1,0,0]=>[6]=>100000=>[1,6] [1,1,0,1,1,0,0,1,1,0,0,0]=>[6]=>100000=>[1,6] [1,1,0,1,1,0,1,0,0,0,1,0]=>[5,1]=>100001=>[1,5,1] [1,1,0,1,1,0,1,0,0,1,0,0]=>[6]=>100000=>[1,6] [1,1,0,1,1,0,1,0,1,0,0,0]=>[6]=>100000=>[1,6] [1,1,0,1,1,0,1,1,0,0,0,0]=>[6]=>100000=>[1,6] [1,1,0,1,1,1,0,0,0,0,1,0]=>[5,1]=>100001=>[1,5,1] [1,1,0,1,1,1,0,0,0,1,0,0]=>[6]=>100000=>[1,6] [1,1,0,1,1,1,0,0,1,0,0,0]=>[6]=>100000=>[1,6] [1,1,0,1,1,1,0,1,0,0,0,0]=>[6]=>100000=>[1,6] [1,1,0,1,1,1,1,0,0,0,0,0]=>[6]=>100000=>[1,6] [1,1,1,0,0,0,1,0,1,0,1,0]=>[3,1,1,1]=>100111=>[1,3,1,1,1] [1,1,1,0,0,0,1,0,1,1,0,0]=>[3,1,2]=>100110=>[1,3,1,2] [1,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,1]=>100101=>[1,3,2,1] [1,1,1,0,0,0,1,1,0,1,0,0]=>[3,3]=>100100=>[1,3,3] [1,1,1,0,0,0,1,1,1,0,0,0]=>[3,3]=>100100=>[1,3,3] [1,1,1,0,0,1,0,0,1,0,1,0]=>[4,1,1]=>100011=>[1,4,1,1] [1,1,1,0,0,1,0,0,1,1,0,0]=>[4,2]=>100010=>[1,4,2] [1,1,1,0,0,1,0,1,0,0,1,0]=>[5,1]=>100001=>[1,5,1] [1,1,1,0,0,1,0,1,0,1,0,0]=>[6]=>100000=>[1,6] [1,1,1,0,0,1,0,1,1,0,0,0]=>[6]=>100000=>[1,6] [1,1,1,0,0,1,1,0,0,0,1,0]=>[5,1]=>100001=>[1,5,1] [1,1,1,0,0,1,1,0,0,1,0,0]=>[6]=>100000=>[1,6] [1,1,1,0,0,1,1,0,1,0,0,0]=>[6]=>100000=>[1,6] [1,1,1,0,0,1,1,1,0,0,0,0]=>[6]=>100000=>[1,6] [1,1,1,0,1,0,0,0,1,0,1,0]=>[4,1,1]=>100011=>[1,4,1,1] [1,1,1,0,1,0,0,0,1,1,0,0]=>[4,2]=>100010=>[1,4,2] [1,1,1,0,1,0,0,1,0,0,1,0]=>[5,1]=>100001=>[1,5,1] [1,1,1,0,1,0,0,1,0,1,0,0]=>[6]=>100000=>[1,6] [1,1,1,0,1,0,0,1,1,0,0,0]=>[6]=>100000=>[1,6] [1,1,1,0,1,0,1,0,0,0,1,0]=>[5,1]=>100001=>[1,5,1] [1,1,1,0,1,0,1,0,0,1,0,0]=>[6]=>100000=>[1,6] [1,1,1,0,1,0,1,0,1,0,0,0]=>[6]=>100000=>[1,6] [1,1,1,0,1,0,1,1,0,0,0,0]=>[6]=>100000=>[1,6] [1,1,1,0,1,1,0,0,0,0,1,0]=>[5,1]=>100001=>[1,5,1] [1,1,1,0,1,1,0,0,0,1,0,0]=>[6]=>100000=>[1,6] [1,1,1,0,1,1,0,0,1,0,0,0]=>[6]=>100000=>[1,6] [1,1,1,0,1,1,0,1,0,0,0,0]=>[6]=>100000=>[1,6] [1,1,1,0,1,1,1,0,0,0,0,0]=>[6]=>100000=>[1,6] [1,1,1,1,0,0,0,0,1,0,1,0]=>[4,1,1]=>100011=>[1,4,1,1] [1,1,1,1,0,0,0,0,1,1,0,0]=>[4,2]=>100010=>[1,4,2] [1,1,1,1,0,0,0,1,0,0,1,0]=>[5,1]=>100001=>[1,5,1] [1,1,1,1,0,0,0,1,0,1,0,0]=>[6]=>100000=>[1,6] [1,1,1,1,0,0,0,1,1,0,0,0]=>[6]=>100000=>[1,6] [1,1,1,1,0,0,1,0,0,0,1,0]=>[5,1]=>100001=>[1,5,1] [1,1,1,1,0,0,1,0,0,1,0,0]=>[6]=>100000=>[1,6] [1,1,1,1,0,0,1,0,1,0,0,0]=>[6]=>100000=>[1,6] [1,1,1,1,0,0,1,1,0,0,0,0]=>[6]=>100000=>[1,6] [1,1,1,1,0,1,0,0,0,0,1,0]=>[5,1]=>100001=>[1,5,1] [1,1,1,1,0,1,0,0,0,1,0,0]=>[6]=>100000=>[1,6] [1,1,1,1,0,1,0,0,1,0,0,0]=>[6]=>100000=>[1,6] [1,1,1,1,0,1,0,1,0,0,0,0]=>[6]=>100000=>[1,6] [1,1,1,1,0,1,1,0,0,0,0,0]=>[6]=>100000=>[1,6] [1,1,1,1,1,0,0,0,0,0,1,0]=>[5,1]=>100001=>[1,5,1] [1,1,1,1,1,0,0,0,0,1,0,0]=>[6]=>100000=>[1,6] [1,1,1,1,1,0,0,0,1,0,0,0]=>[6]=>100000=>[1,6] [1,1,1,1,1,0,0,1,0,0,0,0]=>[6]=>100000=>[1,6] [1,1,1,1,1,0,1,0,0,0,0,0]=>[6]=>100000=>[1,6] [1,1,1,1,1,1,0,0,0,0,0,0]=>[6]=>100000=>[1,6] [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,1]=>1111111=>[1,1,1,1,1,1,1,1] [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,1,2]=>1111110=>[1,1,1,1,1,1,2] [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,2,1]=>1111101=>[1,1,1,1,1,2,1] [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,3]=>1111100=>[1,1,1,1,1,3] [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,3]=>1111100=>[1,1,1,1,1,3] [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,1,2,1,1]=>1111011=>[1,1,1,1,2,1,1] [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,1,2,2]=>1111010=>[1,1,1,1,2,2] [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,3,1]=>1111001=>[1,1,1,1,3,1] [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,1,4]=>1111000=>[1,1,1,1,4] [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,4]=>1111000=>[1,1,1,1,4] [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,3,1]=>1111001=>[1,1,1,1,3,1] [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,4]=>1111000=>[1,1,1,1,4] [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,4]=>1111000=>[1,1,1,1,4] [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,4]=>1111000=>[1,1,1,1,4] [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,2,1,1,1]=>1110111=>[1,1,1,2,1,1,1] [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,2,1,2]=>1110110=>[1,1,1,2,1,2] [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,2,2,1]=>1110101=>[1,1,1,2,2,1] [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,2,3]=>1110100=>[1,1,1,2,3] [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,2,3]=>1110100=>[1,1,1,2,3] [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,3,1,1]=>1110011=>[1,1,1,3,1,1] [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,3,2]=>1110010=>[1,1,1,3,2] [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,4,1]=>1110001=>[1,1,1,4,1] [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,5]=>1110000=>[1,1,1,5] [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,5]=>1110000=>[1,1,1,5] [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,4,1]=>1110001=>[1,1,1,4,1] [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,5]=>1110000=>[1,1,1,5] [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,5]=>1110000=>[1,1,1,5] [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,5]=>1110000=>[1,1,1,5] [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,3,1,1]=>1110011=>[1,1,1,3,1,1] [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,3,2]=>1110010=>[1,1,1,3,2] [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,4,1]=>1110001=>[1,1,1,4,1] [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,5]=>1110000=>[1,1,1,5] [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,5]=>1110000=>[1,1,1,5] [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,4,1]=>1110001=>[1,1,1,4,1] [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,5]=>1110000=>[1,1,1,5] [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,5]=>1110000=>[1,1,1,5] [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,5]=>1110000=>[1,1,1,5] [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,4,1]=>1110001=>[1,1,1,4,1] [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,5]=>1110000=>[1,1,1,5] [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,5]=>1110000=>[1,1,1,5] [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,5]=>1110000=>[1,1,1,5] [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,5]=>1110000=>[1,1,1,5] [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,1,1,1,1]=>1101111=>[1,1,2,1,1,1,1] [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,2,1,1,2]=>1101110=>[1,1,2,1,1,2] [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,2,1,2,1]=>1101101=>[1,1,2,1,2,1] [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,2,1,3]=>1101100=>[1,1,2,1,3] [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,2,1,3]=>1101100=>[1,1,2,1,3] [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,2,2,1,1]=>1101011=>[1,1,2,2,1,1] [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,2,2]=>1101010=>[1,1,2,2,2] [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,2,3,1]=>1101001=>[1,1,2,3,1] [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,2,4]=>1101000=>[1,1,2,4] [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,2,4]=>1101000=>[1,1,2,4] [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,2,3,1]=>1101001=>[1,1,2,3,1] [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,2,4]=>1101000=>[1,1,2,4] [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,2,4]=>1101000=>[1,1,2,4] [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,4]=>1101000=>[1,1,2,4] [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,3,1,1,1]=>1100111=>[1,1,3,1,1,1] [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,3,1,2]=>1100110=>[1,1,3,1,2] [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,3,2,1]=>1100101=>[1,1,3,2,1] [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,3,3]=>1100100=>[1,1,3,3] [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,3]=>1100100=>[1,1,3,3] [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,4,1,1]=>1100011=>[1,1,4,1,1] [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,4,2]=>1100010=>[1,1,4,2] [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,5,1]=>1100001=>[1,1,5,1] [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,5,1]=>1100001=>[1,1,5,1] [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,4,1,1]=>1100011=>[1,1,4,1,1] [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,4,2]=>1100010=>[1,1,4,2] [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,5,1]=>1100001=>[1,1,5,1] [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,5,1]=>1100001=>[1,1,5,1] [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,5,1]=>1100001=>[1,1,5,1] [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,3,1,1,1]=>1100111=>[1,1,3,1,1,1] [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,3,1,2]=>1100110=>[1,1,3,1,2] [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,3,2,1]=>1100101=>[1,1,3,2,1] [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,3,3]=>1100100=>[1,1,3,3] [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,3,3]=>1100100=>[1,1,3,3] [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,4,1,1]=>1100011=>[1,1,4,1,1] [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,4,2]=>1100010=>[1,1,4,2] [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,5,1]=>1100001=>[1,1,5,1] [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,5,1]=>1100001=>[1,1,5,1] [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,4,1,1]=>1100011=>[1,1,4,1,1] [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,4,2]=>1100010=>[1,1,4,2] [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,5,1]=>1100001=>[1,1,5,1] [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,5,1]=>1100001=>[1,1,5,1] [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,5,1]=>1100001=>[1,1,5,1] [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,4,1,1]=>1100011=>[1,1,4,1,1] [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,4,2]=>1100010=>[1,1,4,2] [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,5,1]=>1100001=>[1,1,5,1] [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,5,1]=>1100001=>[1,1,5,1] [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,5,1]=>1100001=>[1,1,5,1] [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,5,1]=>1100001=>[1,1,5,1] [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,6]=>1100000=>[1,1,6] [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,6]=>1100000=>[1,1,6] [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1]=>1011111=>[1,2,1,1,1,1,1] [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,1,1,2]=>1011110=>[1,2,1,1,1,2] [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,1,2,1]=>1011101=>[1,2,1,1,2,1] [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,1,3]=>1011100=>[1,2,1,1,3] [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,1,3]=>1011100=>[1,2,1,1,3] [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,2,1,1]=>1011011=>[1,2,1,2,1,1] [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,2,2]=>1011010=>[1,2,1,2,2] [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,3,1]=>1011001=>[1,2,1,3,1] [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,4]=>1011000=>[1,2,1,4] [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[2,1,4]=>1011000=>[1,2,1,4] [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,3,1]=>1011001=>[1,2,1,3,1] [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,4]=>1011000=>[1,2,1,4] [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,4]=>1011000=>[1,2,1,4] [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,4]=>1011000=>[1,2,1,4] [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,2,1,1,1]=>1010111=>[1,2,2,1,1,1] [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[2,2,1,2]=>1010110=>[1,2,2,1,2] [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,2,2,1]=>1010101=>[1,2,2,2,1] [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,2,3]=>1010100=>[1,2,2,3] [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,2,3]=>1010100=>[1,2,2,3] [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,3,1,1]=>1010011=>[1,2,3,1,1] [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[2,3,2]=>1010010=>[1,2,3,2] [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,4,1]=>1010001=>[1,2,4,1] [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,5]=>1010000=>[1,2,5] [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,5]=>1010000=>[1,2,5] [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,4,1]=>1010001=>[1,2,4,1] [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,5]=>1010000=>[1,2,5] [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,5]=>1010000=>[1,2,5] [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,5]=>1010000=>[1,2,5] [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,3,1,1]=>1010011=>[1,2,3,1,1] [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,3,2]=>1010010=>[1,2,3,2] [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,4,1]=>1010001=>[1,2,4,1] [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,5]=>1010000=>[1,2,5] [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,5]=>1010000=>[1,2,5] [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,4,1]=>1010001=>[1,2,4,1] [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,5]=>1010000=>[1,2,5] [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,5]=>1010000=>[1,2,5] [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,5]=>1010000=>[1,2,5] [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,4,1]=>1010001=>[1,2,4,1] [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,5]=>1010000=>[1,2,5] [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,5]=>1010000=>[1,2,5] [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,5]=>1010000=>[1,2,5] [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,5]=>1010000=>[1,2,5] [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1]=>1001111=>[1,3,1,1,1,1] [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[3,1,1,2]=>1001110=>[1,3,1,1,2] [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[3,1,2,1]=>1001101=>[1,3,1,2,1] [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[3,1,3]=>1001100=>[1,3,1,3] [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[3,1,3]=>1001100=>[1,3,1,3] [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[3,2,1,1]=>1001011=>[1,3,2,1,1] [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,2]=>1001010=>[1,3,2,2] [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[3,3,1]=>1001001=>[1,3,3,1] [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[3,4]=>1001000=>[1,3,4] [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[3,4]=>1001000=>[1,3,4] [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[3,3,1]=>1001001=>[1,3,3,1] [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,4]=>1001000=>[1,3,4] [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[3,4]=>1001000=>[1,3,4] [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,4]=>1001000=>[1,3,4] [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[4,1,1,1]=>1000111=>[1,4,1,1,1] [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[4,1,2]=>1000110=>[1,4,1,2] [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[4,2,1]=>1000101=>[1,4,2,1] [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[4,3]=>1000100=>[1,4,3] [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[4,3]=>1000100=>[1,4,3] [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[5,1,1]=>1000011=>[1,5,1,1] [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[5,2]=>1000010=>[1,5,2] [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[5,1,1]=>1000011=>[1,5,1,1] [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[5,2]=>1000010=>[1,5,2] [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[4,1,1,1]=>1000111=>[1,4,1,1,1] [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[4,1,2]=>1000110=>[1,4,1,2] [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[4,2,1]=>1000101=>[1,4,2,1] [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[4,3]=>1000100=>[1,4,3] [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[4,3]=>1000100=>[1,4,3] [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[5,1,1]=>1000011=>[1,5,1,1] [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[5,2]=>1000010=>[1,5,2] [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[5,1,1]=>1000011=>[1,5,1,1] [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[5,2]=>1000010=>[1,5,2] [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[5,1,1]=>1000011=>[1,5,1,1] [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[5,2]=>1000010=>[1,5,2] [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1]=>1001111=>[1,3,1,1,1,1] [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,1,1,2]=>1001110=>[1,3,1,1,2] [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[3,1,2,1]=>1001101=>[1,3,1,2,1] [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,1,3]=>1001100=>[1,3,1,3] [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,1,3]=>1001100=>[1,3,1,3] [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[3,2,1,1]=>1001011=>[1,3,2,1,1] [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,2,2]=>1001010=>[1,3,2,2] [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[3,3,1]=>1001001=>[1,3,3,1] [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,4]=>1001000=>[1,3,4] [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,4]=>1001000=>[1,3,4] [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[3,3,1]=>1001001=>[1,3,3,1] [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,4]=>1001000=>[1,3,4] [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,4]=>1001000=>[1,3,4] [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,4]=>1001000=>[1,3,4] [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[4,1,1,1]=>1000111=>[1,4,1,1,1] [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[4,1,2]=>1000110=>[1,4,1,2] [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[4,2,1]=>1000101=>[1,4,2,1] [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[4,3]=>1000100=>[1,4,3] [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[4,3]=>1000100=>[1,4,3] [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[5,1,1]=>1000011=>[1,5,1,1] [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[5,2]=>1000010=>[1,5,2] [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[5,1,1]=>1000011=>[1,5,1,1] [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[5,2]=>1000010=>[1,5,2] [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[4,1,1,1]=>1000111=>[1,4,1,1,1] [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[4,1,2]=>1000110=>[1,4,1,2] [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[4,2,1]=>1000101=>[1,4,2,1] [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[4,3]=>1000100=>[1,4,3] [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[4,3]=>1000100=>[1,4,3] [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[5,1,1]=>1000011=>[1,5,1,1] [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[5,2]=>1000010=>[1,5,2] [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[5,1,1]=>1000011=>[1,5,1,1] [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[5,2]=>1000010=>[1,5,2] [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[5,1,1]=>1000011=>[1,5,1,1] [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[5,2]=>1000010=>[1,5,2] [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,1,1,1]=>1000111=>[1,4,1,1,1] [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[4,1,2]=>1000110=>[1,4,1,2] [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,2,1]=>1000101=>[1,4,2,1] [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,3]=>1000100=>[1,4,3] [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,3]=>1000100=>[1,4,3] [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[5,1,1]=>1000011=>[1,5,1,1] [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[5,2]=>1000010=>[1,5,2] [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[5,1,1]=>1000011=>[1,5,1,1] [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[5,2]=>1000010=>[1,5,2] [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[5,1,1]=>1000011=>[1,5,1,1] [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[5,2]=>1000010=>[1,5,2] [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,1,1]=>1000011=>[1,5,1,1] [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,2]=>1000010=>[1,5,2] [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1]=>1000001=>[1,6,1] [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[7]=>1000000=>[1,7] [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7]=>1000000=>[1,7] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,1,1]=>11111111=>[1,1,1,1,1,1,1,1,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,1,1,2]=>11111110=>[1,1,1,1,1,1,1,2] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,1,2,1]=>11111101=>[1,1,1,1,1,1,2,1] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,1,3]=>11111100=>[1,1,1,1,1,1,3] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,1,3]=>11111100=>[1,1,1,1,1,1,3] [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,2,1,1]=>11111011=>[1,1,1,1,1,2,1,1] [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,2,2]=>11111010=>[1,1,1,1,1,2,2] [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,3,1]=>11111001=>[1,1,1,1,1,3,1] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,4]=>11111000=>[1,1,1,1,1,4] [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,4]=>11111000=>[1,1,1,1,1,4] [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,3,1]=>11111001=>[1,1,1,1,1,3,1] [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,4]=>11111000=>[1,1,1,1,1,4] [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,4]=>11111000=>[1,1,1,1,1,4] [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,4]=>11111000=>[1,1,1,1,1,4] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,2,1,1,1]=>11110111=>[1,1,1,1,2,1,1,1] [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,2,1,2]=>11110110=>[1,1,1,1,2,1,2] [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,2,2,1]=>11110101=>[1,1,1,1,2,2,1] [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,2,3]=>11110100=>[1,1,1,1,2,3] [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,1,2,3]=>11110100=>[1,1,1,1,2,3] [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,3,1,1]=>11110011=>[1,1,1,1,3,1,1] [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,3,2]=>11110010=>[1,1,1,1,3,2] [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,4,1]=>11110001=>[1,1,1,1,4,1] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,5]=>11110000=>[1,1,1,1,5] [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,5]=>11110000=>[1,1,1,1,5] [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,4,1]=>11110001=>[1,1,1,1,4,1] [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,5]=>11110000=>[1,1,1,1,5] [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,5]=>11110000=>[1,1,1,1,5] [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,5]=>11110000=>[1,1,1,1,5] [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,3,1,1]=>11110011=>[1,1,1,1,3,1,1] [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,3,2]=>11110010=>[1,1,1,1,3,2] [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,4,1]=>11110001=>[1,1,1,1,4,1] [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,5]=>11110000=>[1,1,1,1,5] [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,5]=>11110000=>[1,1,1,1,5] [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,4,1]=>11110001=>[1,1,1,1,4,1] [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,5]=>11110000=>[1,1,1,1,5] [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,5]=>11110000=>[1,1,1,1,5] [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,5]=>11110000=>[1,1,1,1,5] [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,4,1]=>11110001=>[1,1,1,1,4,1] [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,5]=>11110000=>[1,1,1,1,5] [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,5]=>11110000=>[1,1,1,1,5] [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,5]=>11110000=>[1,1,1,1,5] [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,5]=>11110000=>[1,1,1,1,5] [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,2,1,1,1,1]=>11101111=>[1,1,1,2,1,1,1,1] [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,2,1,1,2]=>11101110=>[1,1,1,2,1,1,2] [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,2,1,2,1]=>11101101=>[1,1,1,2,1,2,1] [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,2,1,3]=>11101100=>[1,1,1,2,1,3] [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,2,1,3]=>11101100=>[1,1,1,2,1,3] [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,2,2,1,1]=>11101011=>[1,1,1,2,2,1,1] [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,2,2,2]=>11101010=>[1,1,1,2,2,2] [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,2,3,1]=>11101001=>[1,1,1,2,3,1] [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,2,4]=>11101000=>[1,1,1,2,4] [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,2,4]=>11101000=>[1,1,1,2,4] [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,2,3,1]=>11101001=>[1,1,1,2,3,1] [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,2,4]=>11101000=>[1,1,1,2,4] [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,2,4]=>11101000=>[1,1,1,2,4] [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,2,4]=>11101000=>[1,1,1,2,4] [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,3,1,1,1]=>11100111=>[1,1,1,3,1,1,1] [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,3,1,2]=>11100110=>[1,1,1,3,1,2] [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,3,2,1]=>11100101=>[1,1,1,3,2,1] [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,3,3]=>11100100=>[1,1,1,3,3] [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,3,3]=>11100100=>[1,1,1,3,3] [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,4,1,1]=>11100011=>[1,1,1,4,1,1] [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,4,2]=>11100010=>[1,1,1,4,2] [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,5,1]=>11100001=>[1,1,1,5,1] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,5,1]=>11100001=>[1,1,1,5,1] [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,4,1,1]=>11100011=>[1,1,1,4,1,1] [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,4,2]=>11100010=>[1,1,1,4,2] [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,5,1]=>11100001=>[1,1,1,5,1] [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,5,1]=>11100001=>[1,1,1,5,1] [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,5,1]=>11100001=>[1,1,1,5,1] [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,3,1,1,1]=>11100111=>[1,1,1,3,1,1,1] [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,3,1,2]=>11100110=>[1,1,1,3,1,2] [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,3,2,1]=>11100101=>[1,1,1,3,2,1] [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,3,3]=>11100100=>[1,1,1,3,3] [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,3,3]=>11100100=>[1,1,1,3,3] [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,4,1,1]=>11100011=>[1,1,1,4,1,1] [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,4,2]=>11100010=>[1,1,1,4,2] [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,5,1]=>11100001=>[1,1,1,5,1] [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,5,1]=>11100001=>[1,1,1,5,1] [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,4,1,1]=>11100011=>[1,1,1,4,1,1] [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,4,2]=>11100010=>[1,1,1,4,2] [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,5,1]=>11100001=>[1,1,1,5,1] [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,5,1]=>11100001=>[1,1,1,5,1] [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,5,1]=>11100001=>[1,1,1,5,1] [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,4,1,1]=>11100011=>[1,1,1,4,1,1] [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,4,2]=>11100010=>[1,1,1,4,2] [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,5,1]=>11100001=>[1,1,1,5,1] [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,5,1]=>11100001=>[1,1,1,5,1] [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,5,1]=>11100001=>[1,1,1,5,1] [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,5,1]=>11100001=>[1,1,1,5,1] [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,6]=>11100000=>[1,1,1,6] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,1,1,1,1,1]=>11011111=>[1,1,2,1,1,1,1,1] [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,1,1,1,2]=>11011110=>[1,1,2,1,1,1,2] [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,1,1,2,1]=>11011101=>[1,1,2,1,1,2,1] [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,1,1,3]=>11011100=>[1,1,2,1,1,3] [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,1,1,3]=>11011100=>[1,1,2,1,1,3] [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,1,2,1,1]=>11011011=>[1,1,2,1,2,1,1] [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,1,2,2]=>11011010=>[1,1,2,1,2,2] [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,1,3,1]=>11011001=>[1,1,2,1,3,1] [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,1,4]=>11011000=>[1,1,2,1,4] [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,1,4]=>11011000=>[1,1,2,1,4] [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,1,3,1]=>11011001=>[1,1,2,1,3,1] [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,1,4]=>11011000=>[1,1,2,1,4] [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,1,4]=>11011000=>[1,1,2,1,4] [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,1,4]=>11011000=>[1,1,2,1,4] [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,2,1,1,1]=>11010111=>[1,1,2,2,1,1,1] [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,2,1,2]=>11010110=>[1,1,2,2,1,2] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,2,2,1]=>11010101=>[1,1,2,2,2,1] [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,2,3]=>11010100=>[1,1,2,2,3] [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,2,3]=>11010100=>[1,1,2,2,3] [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,3,1,1]=>11010011=>[1,1,2,3,1,1] [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,3,2]=>11010010=>[1,1,2,3,2] [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,4,1]=>11010001=>[1,1,2,4,1] [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,5]=>11010000=>[1,1,2,5] [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,5]=>11010000=>[1,1,2,5] [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,4,1]=>11010001=>[1,1,2,4,1] [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,5]=>11010000=>[1,1,2,5] [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,5]=>11010000=>[1,1,2,5] [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,5]=>11010000=>[1,1,2,5] [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,3,1,1]=>11010011=>[1,1,2,3,1,1] [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,3,2]=>11010010=>[1,1,2,3,2] [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,4,1]=>11010001=>[1,1,2,4,1] [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,5]=>11010000=>[1,1,2,5] [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,5]=>11010000=>[1,1,2,5] [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,4,1]=>11010001=>[1,1,2,4,1] [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,5]=>11010000=>[1,1,2,5] [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,5]=>11010000=>[1,1,2,5] [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,5]=>11010000=>[1,1,2,5] [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,4,1]=>11010001=>[1,1,2,4,1] [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,5]=>11010000=>[1,1,2,5] [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,5]=>11010000=>[1,1,2,5] [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,5]=>11010000=>[1,1,2,5] [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,5]=>11010000=>[1,1,2,5] [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,1,1,1,1]=>11001111=>[1,1,3,1,1,1,1] [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,1,1,2]=>11001110=>[1,1,3,1,1,2] [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,3,1,2,1]=>11001101=>[1,1,3,1,2,1] [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,1,3]=>11001100=>[1,1,3,1,3] [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,1,3]=>11001100=>[1,1,3,1,3] [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,3,2,1,1]=>11001011=>[1,1,3,2,1,1] [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,2]=>11001010=>[1,1,3,2,2] [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,3,1]=>11001001=>[1,1,3,3,1] [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,4]=>11001000=>[1,1,3,4] [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,4]=>11001000=>[1,1,3,4] [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,3,1]=>11001001=>[1,1,3,3,1] [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,4]=>11001000=>[1,1,3,4] [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,4]=>11001000=>[1,1,3,4] [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,4]=>11001000=>[1,1,3,4] [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,4,1,1,1]=>11000111=>[1,1,4,1,1,1] [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,4,1,2]=>11000110=>[1,1,4,1,2] [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,4,2,1]=>11000101=>[1,1,4,2,1] [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,4,3]=>11000100=>[1,1,4,3] [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,4,3]=>11000100=>[1,1,4,3] [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,5,1,1]=>11000011=>[1,1,5,1,1] [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,5,2]=>11000010=>[1,1,5,2] [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,5,1,1]=>11000011=>[1,1,5,1,1] [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,5,2]=>11000010=>[1,1,5,2] [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,4,1,1,1]=>11000111=>[1,1,4,1,1,1] [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,4,1,2]=>11000110=>[1,1,4,1,2] [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,4,2,1]=>11000101=>[1,1,4,2,1] [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,4,3]=>11000100=>[1,1,4,3] [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,4,3]=>11000100=>[1,1,4,3] [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,5,1,1]=>11000011=>[1,1,5,1,1] [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,5,2]=>11000010=>[1,1,5,2] [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,5,1,1]=>11000011=>[1,1,5,1,1] [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,5,2]=>11000010=>[1,1,5,2] [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,5,1,1]=>11000011=>[1,1,5,1,1] [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,5,2]=>11000010=>[1,1,5,2] [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,3,1,1,1,1]=>11001111=>[1,1,3,1,1,1,1] [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,3,1,1,2]=>11001110=>[1,1,3,1,1,2] [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,3,1,2,1]=>11001101=>[1,1,3,1,2,1] [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,3,1,3]=>11001100=>[1,1,3,1,3] [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,3,1,3]=>11001100=>[1,1,3,1,3] [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,3,2,1,1]=>11001011=>[1,1,3,2,1,1] [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,2]=>11001010=>[1,1,3,2,2] [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,3,3,1]=>11001001=>[1,1,3,3,1] [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,3,4]=>11001000=>[1,1,3,4] [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,3,4]=>11001000=>[1,1,3,4] [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,3,3,1]=>11001001=>[1,1,3,3,1] [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,3,4]=>11001000=>[1,1,3,4] [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,3,4]=>11001000=>[1,1,3,4] [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,3,4]=>11001000=>[1,1,3,4] [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,4,1,1,1]=>11000111=>[1,1,4,1,1,1] [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,4,1,2]=>11000110=>[1,1,4,1,2] [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,4,2,1]=>11000101=>[1,1,4,2,1] [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,4,3]=>11000100=>[1,1,4,3] [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,4,3]=>11000100=>[1,1,4,3] [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,5,1,1]=>11000011=>[1,1,5,1,1] [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[1,5,2]=>11000010=>[1,1,5,2] [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,5,1,1]=>11000011=>[1,1,5,1,1] [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,5,2]=>11000010=>[1,1,5,2] [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,4,1,1,1]=>11000111=>[1,1,4,1,1,1] [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,4,1,2]=>11000110=>[1,1,4,1,2] [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,4,2,1]=>11000101=>[1,1,4,2,1] [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,4,3]=>11000100=>[1,1,4,3] [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,4,3]=>11000100=>[1,1,4,3] [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,5,1,1]=>11000011=>[1,1,5,1,1] [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,5,2]=>11000010=>[1,1,5,2] [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,5,1,1]=>11000011=>[1,1,5,1,1] [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,5,2]=>11000010=>[1,1,5,2] [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,5,1,1]=>11000011=>[1,1,5,1,1] [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,5,2]=>11000010=>[1,1,5,2] [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,4,1,1,1]=>11000111=>[1,1,4,1,1,1] [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,4,1,2]=>11000110=>[1,1,4,1,2] [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,4,2,1]=>11000101=>[1,1,4,2,1] [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,4,3]=>11000100=>[1,1,4,3] [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,4,3]=>11000100=>[1,1,4,3] [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,5,1,1]=>11000011=>[1,1,5,1,1] [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,5,2]=>11000010=>[1,1,5,2] [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,5,1,1]=>11000011=>[1,1,5,1,1] [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,5,2]=>11000010=>[1,1,5,2] [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,5,1,1]=>11000011=>[1,1,5,1,1] [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,5,2]=>11000010=>[1,1,5,2] [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,5,1,1]=>11000011=>[1,1,5,1,1] [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,5,2]=>11000010=>[1,1,5,2] [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,6,1]=>11000001=>[1,1,6,1] [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,7]=>11000000=>[1,1,7] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,1,1,1,1,1]=>10111111=>[1,2,1,1,1,1,1,1] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,1,1,1,2]=>10111110=>[1,2,1,1,1,1,2] [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,1,1,2,1]=>10111101=>[1,2,1,1,1,2,1] [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,1,1,3]=>10111100=>[1,2,1,1,1,3] [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,1,1,3]=>10111100=>[1,2,1,1,1,3] [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,1,2,1,1]=>10111011=>[1,2,1,1,2,1,1] [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,1,2,2]=>10111010=>[1,2,1,1,2,2] [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,1,3,1]=>10111001=>[1,2,1,1,3,1] [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,1,4]=>10111000=>[1,2,1,1,4] [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[2,1,1,4]=>10111000=>[1,2,1,1,4] [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,1,3,1]=>10111001=>[1,2,1,1,3,1] [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,1,4]=>10111000=>[1,2,1,1,4] [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,1,4]=>10111000=>[1,2,1,1,4] [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,1,4]=>10111000=>[1,2,1,1,4] [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,2,1,1,1]=>10110111=>[1,2,1,2,1,1,1] [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,2,1,2]=>10110110=>[1,2,1,2,1,2] [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,2,2,1]=>10110101=>[1,2,1,2,2,1] [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,2,3]=>10110100=>[1,2,1,2,3] [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,2,3]=>10110100=>[1,2,1,2,3] [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,3,1,1]=>10110011=>[1,2,1,3,1,1] [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[2,1,3,2]=>10110010=>[1,2,1,3,2] [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,4,1]=>10110001=>[1,2,1,4,1] [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,5]=>10110000=>[1,2,1,5] [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[2,1,5]=>10110000=>[1,2,1,5] [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,4,1]=>10110001=>[1,2,1,4,1] [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,5]=>10110000=>[1,2,1,5] [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[2,1,5]=>10110000=>[1,2,1,5] [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,5]=>10110000=>[1,2,1,5] [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,3,1,1]=>10110011=>[1,2,1,3,1,1] [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,3,2]=>10110010=>[1,2,1,3,2] [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,4,1]=>10110001=>[1,2,1,4,1] [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,5]=>10110000=>[1,2,1,5] [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,5]=>10110000=>[1,2,1,5] [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,4,1]=>10110001=>[1,2,1,4,1] [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[2,1,5]=>10110000=>[1,2,1,5] [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,5]=>10110000=>[1,2,1,5] [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,5]=>10110000=>[1,2,1,5] [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,4,1]=>10110001=>[1,2,1,4,1] [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,5]=>10110000=>[1,2,1,5] [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,5]=>10110000=>[1,2,1,5] [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,5]=>10110000=>[1,2,1,5] [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,5]=>10110000=>[1,2,1,5] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,2,1,1,1,1]=>10101111=>[1,2,2,1,1,1,1] [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[2,2,1,1,2]=>10101110=>[1,2,2,1,1,2] [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[2,2,1,2,1]=>10101101=>[1,2,2,1,2,1] [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[2,2,1,3]=>10101100=>[1,2,2,1,3] [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[2,2,1,3]=>10101100=>[1,2,2,1,3] [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[2,2,2,1,1]=>10101011=>[1,2,2,2,1,1] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,2,2,2]=>10101010=>[1,2,2,2,2] [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[2,2,3,1]=>10101001=>[1,2,2,3,1] [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,2,4]=>10101000=>[1,2,2,4] [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,2,4]=>10101000=>[1,2,2,4] [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[2,2,3,1]=>10101001=>[1,2,2,3,1] [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,2,4]=>10101000=>[1,2,2,4] [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[2,2,4]=>10101000=>[1,2,2,4] [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,2,4]=>10101000=>[1,2,2,4] [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,1,1,1]=>10100111=>[1,2,3,1,1,1] [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,1,2]=>10100110=>[1,2,3,1,2] [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,2,1]=>10100101=>[1,2,3,2,1] [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,3]=>10100100=>[1,2,3,3] [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,3]=>10100100=>[1,2,3,3] [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[2,4,1,1]=>10100011=>[1,2,4,1,1] [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[2,4,2]=>10100010=>[1,2,4,2] [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[2,5,1]=>10100001=>[1,2,5,1] [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[2,5,1]=>10100001=>[1,2,5,1] [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[2,4,1,1]=>10100011=>[1,2,4,1,1] [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,2]=>10100010=>[1,2,4,2] [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[2,5,1]=>10100001=>[1,2,5,1] [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[2,5,1]=>10100001=>[1,2,5,1] [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[2,5,1]=>10100001=>[1,2,5,1] [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[2,3,1,1,1]=>10100111=>[1,2,3,1,1,1] [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[2,3,1,2]=>10100110=>[1,2,3,1,2] [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[2,3,2,1]=>10100101=>[1,2,3,2,1] [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[2,3,3]=>10100100=>[1,2,3,3] [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[2,3,3]=>10100100=>[1,2,3,3] [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[2,4,1,1]=>10100011=>[1,2,4,1,1] [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,4,2]=>10100010=>[1,2,4,2] [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[2,5,1]=>10100001=>[1,2,5,1] [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[2,5,1]=>10100001=>[1,2,5,1] [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[2,4,1,1]=>10100011=>[1,2,4,1,1] [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[2,4,2]=>10100010=>[1,2,4,2] [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[2,5,1]=>10100001=>[1,2,5,1] [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[2,5,1]=>10100001=>[1,2,5,1] [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[2,5,1]=>10100001=>[1,2,5,1] [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[2,4,1,1]=>10100011=>[1,2,4,1,1] [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,4,2]=>10100010=>[1,2,4,2] [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[2,5,1]=>10100001=>[1,2,5,1] [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[2,5,1]=>10100001=>[1,2,5,1] [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[2,5,1]=>10100001=>[1,2,5,1] [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[2,5,1]=>10100001=>[1,2,5,1] [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,6]=>10100000=>[1,2,6] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1]=>10011111=>[1,3,1,1,1,1,1] [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[3,1,1,1,2]=>10011110=>[1,3,1,1,1,2] [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[3,1,1,2,1]=>10011101=>[1,3,1,1,2,1] [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[3,1,1,3]=>10011100=>[1,3,1,1,3] [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,1,1,3]=>10011100=>[1,3,1,1,3] [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[3,1,2,1,1]=>10011011=>[1,3,1,2,1,1] [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[3,1,2,2]=>10011010=>[1,3,1,2,2] [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[3,1,3,1]=>10011001=>[1,3,1,3,1] [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[3,1,4]=>10011000=>[1,3,1,4] [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[3,1,4]=>10011000=>[1,3,1,4] [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[3,1,3,1]=>10011001=>[1,3,1,3,1] [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[3,1,4]=>10011000=>[1,3,1,4] [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[3,1,4]=>10011000=>[1,3,1,4] [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>10011000=>[1,3,1,4] [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[3,2,1,1,1]=>10010111=>[1,3,2,1,1,1] [1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[3,2,1,2]=>10010110=>[1,3,2,1,2] [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,2,2,1]=>10010101=>[1,3,2,2,1] [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[3,2,3]=>10010100=>[1,3,2,3] [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[3,2,3]=>10010100=>[1,3,2,3] [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[3,3,1,1]=>10010011=>[1,3,3,1,1] [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[3,3,2]=>10010010=>[1,3,3,2] [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[3,4,1]=>10010001=>[1,3,4,1] [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[3,5]=>10010000=>[1,3,5] [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[3,5]=>10010000=>[1,3,5] [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[3,4,1]=>10010001=>[1,3,4,1] [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[3,5]=>10010000=>[1,3,5] [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[3,5]=>10010000=>[1,3,5] [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[3,5]=>10010000=>[1,3,5] [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[3,3,1,1]=>10010011=>[1,3,3,1,1] [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[3,3,2]=>10010010=>[1,3,3,2] [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[3,4,1]=>10010001=>[1,3,4,1] [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[3,5]=>10010000=>[1,3,5] [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[3,5]=>10010000=>[1,3,5] [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[3,4,1]=>10010001=>[1,3,4,1] [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[3,5]=>10010000=>[1,3,5] [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[3,5]=>10010000=>[1,3,5] [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[3,5]=>10010000=>[1,3,5] [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,4,1]=>10010001=>[1,3,4,1] [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,5]=>10010000=>[1,3,5] [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[3,5]=>10010000=>[1,3,5] [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,5]=>10010000=>[1,3,5] [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>10010000=>[1,3,5] [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[4,1,1,1,1]=>10001111=>[1,4,1,1,1,1] [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[4,1,1,2]=>10001110=>[1,4,1,1,2] [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[4,1,2,1]=>10001101=>[1,4,1,2,1] [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[4,1,3]=>10001100=>[1,4,1,3] [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[4,1,3]=>10001100=>[1,4,1,3] [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[4,2,1,1]=>10001011=>[1,4,2,1,1] [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[4,2,2]=>10001010=>[1,4,2,2] [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[4,3,1]=>10001001=>[1,4,3,1] [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[4,4]=>10001000=>[1,4,4] [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[4,4]=>10001000=>[1,4,4] [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[4,3,1]=>10001001=>[1,4,3,1] [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[4,4]=>10001000=>[1,4,4] [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[4,4]=>10001000=>[1,4,4] [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>10001000=>[1,4,4] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>10000111=>[1,5,1,1,1] [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[5,1,2]=>10000110=>[1,5,1,2] [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[5,2,1]=>10000101=>[1,5,2,1] [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[5,3]=>10000100=>[1,5,3] [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[5,3]=>10000100=>[1,5,3] [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>10000111=>[1,5,1,1,1] [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[5,1,2]=>10000110=>[1,5,1,2] [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[5,2,1]=>10000101=>[1,5,2,1] [1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[5,3]=>10000100=>[1,5,3] [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[5,3]=>10000100=>[1,5,3] [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[4,1,1,1,1]=>10001111=>[1,4,1,1,1,1] [1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[4,1,1,2]=>10001110=>[1,4,1,1,2] [1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[4,1,2,1]=>10001101=>[1,4,1,2,1] [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[4,1,3]=>10001100=>[1,4,1,3] [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[4,1,3]=>10001100=>[1,4,1,3] [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[4,2,1,1]=>10001011=>[1,4,2,1,1] [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[4,2,2]=>10001010=>[1,4,2,2] [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[4,3,1]=>10001001=>[1,4,3,1] [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[4,4]=>10001000=>[1,4,4] [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[4,4]=>10001000=>[1,4,4] [1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[4,3,1]=>10001001=>[1,4,3,1] [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[4,4]=>10001000=>[1,4,4] [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[4,4]=>10001000=>[1,4,4] [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>10001000=>[1,4,4] [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>10000111=>[1,5,1,1,1] [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[5,1,2]=>10000110=>[1,5,1,2] [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[5,2,1]=>10000101=>[1,5,2,1] [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[5,3]=>10000100=>[1,5,3] [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[5,3]=>10000100=>[1,5,3] [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>10000111=>[1,5,1,1,1] [1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[5,1,2]=>10000110=>[1,5,1,2] [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[5,2,1]=>10000101=>[1,5,2,1] [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[5,3]=>10000100=>[1,5,3] [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[5,3]=>10000100=>[1,5,3] [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>10000111=>[1,5,1,1,1] [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[5,1,2]=>10000110=>[1,5,1,2] [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[5,2,1]=>10000101=>[1,5,2,1] [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[5,3]=>10000100=>[1,5,3] [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>10000100=>[1,5,3] [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1]=>10011111=>[1,3,1,1,1,1,1] [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[3,1,1,1,2]=>10011110=>[1,3,1,1,1,2] [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]=>[3,1,1,2,1]=>10011101=>[1,3,1,1,2,1] [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[3,1,1,3]=>10011100=>[1,3,1,1,3] [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,1,1,3]=>10011100=>[1,3,1,1,3] [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]=>[3,1,2,1,1]=>10011011=>[1,3,1,2,1,1] [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>[3,1,2,2]=>10011010=>[1,3,1,2,2] [1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]=>[3,1,3,1]=>10011001=>[1,3,1,3,1] [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[3,1,4]=>10011000=>[1,3,1,4] [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[3,1,4]=>10011000=>[1,3,1,4] [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[3,1,3,1]=>10011001=>[1,3,1,3,1] [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[3,1,4]=>10011000=>[1,3,1,4] [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[3,1,4]=>10011000=>[1,3,1,4] [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,1,4]=>10011000=>[1,3,1,4] [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[3,2,1,1,1]=>10010111=>[1,3,2,1,1,1] [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]=>[3,2,1,2]=>10010110=>[1,3,2,1,2] [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,2,2,1]=>10010101=>[1,3,2,2,1] [1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[3,2,3]=>10010100=>[1,3,2,3] [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[3,2,3]=>10010100=>[1,3,2,3] [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[3,3,1,1]=>10010011=>[1,3,3,1,1] [1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[3,3,2]=>10010010=>[1,3,3,2] [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[3,4,1]=>10010001=>[1,3,4,1] [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[3,5]=>10010000=>[1,3,5] [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[3,5]=>10010000=>[1,3,5] [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[3,4,1]=>10010001=>[1,3,4,1] [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[3,5]=>10010000=>[1,3,5] [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[3,5]=>10010000=>[1,3,5] [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[3,5]=>10010000=>[1,3,5] [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[3,3,1,1]=>10010011=>[1,3,3,1,1] [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[3,3,2]=>10010010=>[1,3,3,2] [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]=>[3,4,1]=>10010001=>[1,3,4,1] [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[3,5]=>10010000=>[1,3,5] [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[3,5]=>10010000=>[1,3,5] [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]=>[3,4,1]=>10010001=>[1,3,4,1] [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[3,5]=>10010000=>[1,3,5] [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[3,5]=>10010000=>[1,3,5] [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[3,5]=>10010000=>[1,3,5] [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,4,1]=>10010001=>[1,3,4,1] [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,5]=>10010000=>[1,3,5] [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[3,5]=>10010000=>[1,3,5] [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,5]=>10010000=>[1,3,5] [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5]=>10010000=>[1,3,5] [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[4,1,1,1,1]=>10001111=>[1,4,1,1,1,1] [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]=>[4,1,1,2]=>10001110=>[1,4,1,1,2] [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[4,1,2,1]=>10001101=>[1,4,1,2,1] [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[4,1,3]=>10001100=>[1,4,1,3] [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[4,1,3]=>10001100=>[1,4,1,3] [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[4,2,1,1]=>10001011=>[1,4,2,1,1] [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[4,2,2]=>10001010=>[1,4,2,2] [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[4,3,1]=>10001001=>[1,4,3,1] [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[4,4]=>10001000=>[1,4,4] [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[4,4]=>10001000=>[1,4,4] [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]=>[4,3,1]=>10001001=>[1,4,3,1] [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[4,4]=>10001000=>[1,4,4] [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[4,4]=>10001000=>[1,4,4] [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>10001000=>[1,4,4] [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>10000111=>[1,5,1,1,1] [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]=>[5,1,2]=>10000110=>[1,5,1,2] [1,1,1,0,0,1,0,1,0,0,1,1,0,0,1,0]=>[5,2,1]=>10000101=>[1,5,2,1] [1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0]=>[5,3]=>10000100=>[1,5,3] [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]=>[5,3]=>10000100=>[1,5,3] [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>10000111=>[1,5,1,1,1] [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[5,1,2]=>10000110=>[1,5,1,2] [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[5,2,1]=>10000101=>[1,5,2,1] [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[5,3]=>10000100=>[1,5,3] [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[5,3]=>10000100=>[1,5,3] [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[4,1,1,1,1]=>10001111=>[1,4,1,1,1,1] [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]=>[4,1,1,2]=>10001110=>[1,4,1,1,2] [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[4,1,2,1]=>10001101=>[1,4,1,2,1] [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]=>[4,1,3]=>10001100=>[1,4,1,3] [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[4,1,3]=>10001100=>[1,4,1,3] [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[4,2,1,1]=>10001011=>[1,4,2,1,1] [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[4,2,2]=>10001010=>[1,4,2,2] [1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]=>[4,3,1]=>10001001=>[1,4,3,1] [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>[4,4]=>10001000=>[1,4,4] [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[4,4]=>10001000=>[1,4,4] [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[4,3,1]=>10001001=>[1,4,3,1] [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[4,4]=>10001000=>[1,4,4] [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[4,4]=>10001000=>[1,4,4] [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>10001000=>[1,4,4] [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>10000111=>[1,5,1,1,1] [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[5,1,2]=>10000110=>[1,5,1,2] [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[5,2,1]=>10000101=>[1,5,2,1] [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[5,3]=>10000100=>[1,5,3] [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[5,3]=>10000100=>[1,5,3] [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>10000111=>[1,5,1,1,1] [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[5,1,2]=>10000110=>[1,5,1,2] [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]=>[5,2,1]=>10000101=>[1,5,2,1] [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]=>[5,3]=>10000100=>[1,5,3] [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[5,3]=>10000100=>[1,5,3] [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>10000111=>[1,5,1,1,1] [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[5,1,2]=>10000110=>[1,5,1,2] [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[5,2,1]=>10000101=>[1,5,2,1] [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[5,3]=>10000100=>[1,5,3] [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>10000100=>[1,5,3] [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[4,1,1,1,1]=>10001111=>[1,4,1,1,1,1] [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[4,1,1,2]=>10001110=>[1,4,1,1,2] [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[4,1,2,1]=>10001101=>[1,4,1,2,1] [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[4,1,3]=>10001100=>[1,4,1,3] [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[4,1,3]=>10001100=>[1,4,1,3] [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[4,2,1,1]=>10001011=>[1,4,2,1,1] [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[4,2,2]=>10001010=>[1,4,2,2] [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[4,3,1]=>10001001=>[1,4,3,1] [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[4,4]=>10001000=>[1,4,4] [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[4,4]=>10001000=>[1,4,4] [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[4,3,1]=>10001001=>[1,4,3,1] [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[4,4]=>10001000=>[1,4,4] [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[4,4]=>10001000=>[1,4,4] [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,4]=>10001000=>[1,4,4] [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>10000111=>[1,5,1,1,1] [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[5,1,2]=>10000110=>[1,5,1,2] [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[5,2,1]=>10000101=>[1,5,2,1] [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[5,3]=>10000100=>[1,5,3] [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[5,3]=>10000100=>[1,5,3] [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>10000111=>[1,5,1,1,1] [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[5,1,2]=>10000110=>[1,5,1,2] [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[5,2,1]=>10000101=>[1,5,2,1] [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[5,3]=>10000100=>[1,5,3] [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[5,3]=>10000100=>[1,5,3] [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>10000111=>[1,5,1,1,1] [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[5,1,2]=>10000110=>[1,5,1,2] [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[5,2,1]=>10000101=>[1,5,2,1] [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[5,3]=>10000100=>[1,5,3] [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>10000100=>[1,5,3] [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,1,1,1]=>10000111=>[1,5,1,1,1] [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,1,2]=>10000110=>[1,5,1,2] [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[5,2,1]=>10000101=>[1,5,2,1] [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,3]=>10000100=>[1,5,3] [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,3]=>10000100=>[1,5,3] [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,1]=>10000011=>[1,6,1,1] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,2]=>10000010=>[1,6,2] [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1]=>10000001=>[1,7,1] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8]=>10000000=>[1,8] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1]=>100000001=>[1,8,1] [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,8]=>110000000=>[1,1,8] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,1]=>1000000001=>[1,9,1] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[8,1]=>100000001=>[1,8,1] [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,8]=>110000000=>[1,1,8] [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,9]=>1100000000=>[1,1,9] [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[9,1]=>1000000001=>[1,9,1] [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>[8,1]=>100000001=>[1,8,1] [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>[8,1]=>100000001=>[1,8,1] [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,8]=>110000000=>[1,1,8] [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,8]=>110000000=>[1,1,8] [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,9]=>1100000000=>[1,1,9] [1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,8]=>110000000=>[1,1,8] [1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,8]=>110000000=>[1,1,8] [1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[1,9]=>1100000000=>[1,1,9] [1,0,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,8]=>110000000=>[1,1,8] [1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,9]=>1100000000=>[1,1,9] [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]=>[8,1]=>100000001=>[1,8,1] [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[8,1]=>100000001=>[1,8,1] [1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,8]=>110000000=>[1,1,8] [1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[1,9]=>1100000000=>[1,1,9] [1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,8]=>110000000=>[1,1,8] [1,0,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,8]=>110000000=>[1,1,8] [1,0,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,9]=>1100000000=>[1,1,9] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,8]=>110000000=>[1,1,8] [1,0,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[1,9]=>1100000000=>[1,1,9] [1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[1,8]=>110000000=>[1,1,8] [1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,8]=>110000000=>[1,1,8] [1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,8]=>110000000=>[1,1,8] [1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[1,9]=>1100000000=>[1,1,9] [1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,8]=>110000000=>[1,1,8] [1,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,9]=>1100000000=>[1,1,9] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]=>[8,1]=>100000001=>[1,8,1] [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[8,1]=>100000001=>[1,8,1] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[7,2]=>100000010=>[1,7,2] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,8]=>110000000=>[1,1,8] [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[1,9]=>1100000000=>[1,1,9] [1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[1,8]=>110000000=>[1,1,8] [1,0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[1,9]=>1100000000=>[1,1,9] [1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,8]=>110000000=>[1,1,8] [1,0,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,9]=>1100000000=>[1,1,9] [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,7]=>101000000=>[1,2,7] [1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,8]=>110000000=>[1,1,8] [1,0,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,9]=>1100000000=>[1,1,9] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[7,1,1]=>100000011=>[1,7,1,1] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,7,1]=>110000001=>[1,1,7,1] [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]=>[7,2]=>100000010=>[1,7,2] [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[1,9]=>1100000000=>[1,1,9] [1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[1,8]=>110000000=>[1,1,8] [1,0,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[1,8]=>110000000=>[1,1,8] [1,0,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,8]=>110000000=>[1,1,8] [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,7]=>101000000=>[1,2,7] [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,7]=>111000000=>[1,1,1,7] [1,0,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,9]=>1100000000=>[1,1,9] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[8,2]=>1000000010=>[1,8,2] [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[1,7,1]=>110000001=>[1,1,7,1] [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[1,9]=>1100000000=>[1,1,9] [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]=>[7,2]=>100000010=>[1,7,2] [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,7]=>101000000=>[1,2,7] [1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,7]=>101000000=>[1,2,7] [1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,7]=>111000000=>[1,1,1,7] [1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,9]=>1100000000=>[1,1,9] [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[1,7,1]=>110000001=>[1,1,7,1] [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[1,7,1]=>110000001=>[1,1,7,1] [1,0,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,8]=>110000000=>[1,1,8] [1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,8]=>110000000=>[1,1,8] [1,0,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,8]=>110000000=>[1,1,8] [1,1,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,7]=>101000000=>[1,2,7] [1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,7]=>111000000=>[1,1,1,7] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[9]=>100000000=>[1,9] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[9]=>100000000=>[1,9] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[9]=>100000000=>[1,9] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[9]=>100000000=>[1,9] [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[9]=>100000000=>[1,9] [1,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[9]=>100000000=>[1,9] [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[9]=>100000000=>[1,9] [1,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[9]=>100000000=>[1,9] [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[9]=>100000000=>[1,9] [1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[9]=>100000000=>[1,9] [1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[9]=>100000000=>[1,9] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[9]=>100000000=>[1,9] [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[9]=>100000000=>[1,9] [1,1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[9]=>100000000=>[1,9] [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[9]=>100000000=>[1,9] [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[9]=>100000000=>[1,9] [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[9]=>100000000=>[1,9] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[9]=>100000000=>[1,9] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[9]=>100000000=>[1,9] [1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[9]=>100000000=>[1,9] [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[9]=>100000000=>[1,9] [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[9]=>100000000=>[1,9] [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[9]=>100000000=>[1,9] [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[9]=>100000000=>[1,9] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9]=>100000000=>[1,9] [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]=>111111111=>[1,1,1,1,1,1,1,1,1,1] [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]=>111111110=>[1,1,1,1,1,1,1,1,2] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,1,1,3]=>111111100=>[1,1,1,1,1,1,1,3] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,1,4]=>111111000=>[1,1,1,1,1,1,4] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,5]=>111110000=>[1,1,1,1,1,5] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,6]=>111100000=>[1,1,1,1,6] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,7]=>111000000=>[1,1,1,7] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,8]=>110000000=>[1,1,8] [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]=>1111111111=>[1,1,1,1,1,1,1,1,1,1,1] [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]=>1111111110=>[1,1,1,1,1,1,1,1,1,2] [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]=>111111100=>[1,1,1,1,1,1,1,3] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,1,4]=>111111000=>[1,1,1,1,1,1,4] [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,5]=>111110000=>[1,1,1,1,1,5] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,1,5]=>1111110000=>[1,1,1,1,1,1,5] [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,6]=>111100000=>[1,1,1,1,6] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,1,1,6]=>1111100000=>[1,1,1,1,1,6] [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,7]=>111000000=>[1,1,1,7] [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,8]=>110000000=>[1,1,8] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,9]=>1100000000=>[1,1,9] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[10]=>1000000000=>[1,10] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,1,4]=>111111000=>[1,1,1,1,1,1,4] [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,4]=>111111000=>[1,1,1,1,1,1,4] [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,9]=>1100000000=>[1,1,9] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[10]=>1000000000=>[1,10] [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,5]=>111110000=>[1,1,1,1,1,5] [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,8]=>110000000=>[1,1,8] [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[10]=>1000000000=>[1,10] [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[10]=>1000000000=>[1,10] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,5]=>1111110000=>[1,1,1,1,1,1,5] [1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,6]=>111100000=>[1,1,1,1,6] [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,5]=>111110000=>[1,1,1,1,1,5] [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[10]=>1000000000=>[1,10] [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,6]=>1111100000=>[1,1,1,1,1,6] [1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,7]=>111000000=>[1,1,1,7] [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]=>1111110000=>[1,1,1,1,1,1,5] [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[10]=>1000000000=>[1,10] [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[10]=>1000000000=>[1,10] [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,8]=>110000000=>[1,1,8] [1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,8]=>110000000=>[1,1,8] [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[10]=>1000000000=>[1,10] [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,6]=>111100000=>[1,1,1,1,6] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[10]=>1000000000=>[1,10] [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]=>1111100000=>[1,1,1,1,1,6] [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[10]=>1000000000=>[1,10] [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,9]=>1100000000=>[1,1,9] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[10]=>1000000000=>[1,10] [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,9]=>1100000000=>[1,1,9] [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]=>111111101=>[1,1,1,1,1,1,1,2,1] [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]=>111111011=>[1,1,1,1,1,1,2,1,1] [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]=>111111010=>[1,1,1,1,1,1,2,2] [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]=>111111001=>[1,1,1,1,1,1,3,1] [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]=>111110111=>[1,1,1,1,1,2,1,1,1] [1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,1,1,2,3]=>111110100=>[1,1,1,1,1,2,3] [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]=>111101111=>[1,1,1,1,2,1,1,1,1] [1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,1,2,4]=>111101000=>[1,1,1,1,2,4] [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]=>111011111=>[1,1,1,2,1,1,1,1,1] [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,2,5]=>111010000=>[1,1,1,2,5] [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,6,1]=>111000001=>[1,1,1,6,1] [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]=>110111111=>[1,1,2,1,1,1,1,1,1] [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,6]=>110100000=>[1,1,2,6] [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]=>101111111=>[1,2,1,1,1,1,1,1,1] [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]=>101111110=>[1,2,1,1,1,1,1,2] [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]=>101111101=>[1,2,1,1,1,1,2,1] [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]=>101111011=>[1,2,1,1,1,2,1,1] [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,1,1,2,2]=>101111010=>[1,2,1,1,1,2,2] [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]=>101110111=>[1,2,1,1,2,1,1,1] [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]=>101101111=>[1,2,1,2,1,1,1,1] [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]=>101011111=>[1,2,2,1,1,1,1,1] [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]=>100111111=>[1,3,1,1,1,1,1,1] [1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,1,5]=>100110000=>[1,3,1,5] [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[3,6]=>100100000=>[1,3,6] [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,5]=>100010000=>[1,4,5] [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[5,4]=>100001000=>[1,5,4] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>[6,3]=>100000100=>[1,6,3] [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]=>1110111111=>[1,1,1,2,1,1,1,1,1,1] [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]=>1101111111=>[1,1,2,1,1,1,1,1,1,1] [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]=>1011111110=>[1,2,1,1,1,1,1,1,2] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]=>[7,3]=>1000000100=>[1,7,3] [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10]=>1000000000=>[1,10] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1,1]=>100111111=>[1,3,1,1,1,1,1,1] [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,1,1,1,1]=>100011111=>[1,4,1,1,1,1,1] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[5,1,1,1,1]=>100001111=>[1,5,1,1,1,1] [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[6,1,1,1]=>100000111=>[1,6,1,1,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[7,1,1]=>100000011=>[1,7,1,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[8,1]=>100000001=>[1,8,1] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,1,1,1,1,1,1]=>1001111111=>[1,3,1,1,1,1,1,1,1] [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,1,1,1,1]=>100011111=>[1,4,1,1,1,1,1] [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[5,1,1,1,1]=>100001111=>[1,5,1,1,1,1] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[5,1,1,1,1,1]=>1000011111=>[1,5,1,1,1,1,1] [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[6,1,1,1]=>100000111=>[1,6,1,1,1] [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[7,1,1]=>100000011=>[1,7,1,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[7,1,1,1]=>1000000111=>[1,7,1,1,1] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[8,1]=>100000001=>[1,8,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[8,1,1]=>1000000011=>[1,8,1,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[9,1]=>1000000001=>[1,9,1] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,1,1,1,3]=>101111100=>[1,2,1,1,1,1,3] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[10]=>1000000000=>[1,10] [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[10]=>1000000000=>[1,10] [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[10]=>1000000000=>[1,10] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[8,1]=>100000001=>[1,8,1] [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,1,1,1,1]=>100011111=>[1,4,1,1,1,1,1] [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[10]=>1000000000=>[1,10] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[10]=>1000000000=>[1,10] [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,1,1,1,1]=>100011111=>[1,4,1,1,1,1,1] [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[10]=>1000000000=>[1,10] [1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[10]=>1000000000=>[1,10] [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[10]=>1000000000=>[1,10] [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[10]=>1000000000=>[1,10] [1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[10]=>1000000000=>[1,10] [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[10]=>1000000000=>[1,10] [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[7,2]=>100000010=>[1,7,2] [1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,7]=>101000000=>[1,2,7] [1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[3,6]=>100100000=>[1,3,6] [1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,5]=>100010000=>[1,4,5] [1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[5,4]=>100001000=>[1,5,4] [1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0]=>[6,3]=>100000100=>[1,6,3] [1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[1,8]=>110000000=>[1,1,8] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[8,1]=>100000001=>[1,8,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[7,2]=>100000010=>[1,7,2] [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,7]=>101000000=>[1,2,7] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[10]=>1000000000=>[1,10] [1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,7]=>101000000=>[1,2,7] [1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[6,3]=>100000100=>[1,6,3] [1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[4,5]=>100010000=>[1,4,5] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0]=>[6,3]=>100000100=>[1,6,3] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[10]=>1000000000=>[1,10] [1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0]=>[5,4]=>100001000=>[1,5,4] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[10]=>1000000000=>[1,10] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[10]=>1000000000=>[1,10] [1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,6]=>100100000=>[1,3,6] [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[10]=>1000000000=>[1,10] [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[10]=>1000000000=>[1,10] [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0]=>[7,2]=>100000010=>[1,7,2] [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[6,2,1]=>100000101=>[1,6,2,1] [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[5,2,1,1]=>100001011=>[1,5,2,1,1] [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[4,2,1,1,1]=>100010111=>[1,4,2,1,1,1] [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[3,2,1,1,1,1]=>100101111=>[1,3,2,1,1,1,1] [1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[10]=>1000000000=>[1,10] [1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[10]=>1000000000=>[1,10] [1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[10]=>1000000000=>[1,10] [1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[10]=>1000000000=>[1,10] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[10]=>1000000000=>[1,10] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[10]=>1000000000=>[1,10] [1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[10]=>1000000000=>[1,10] [1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0]=>[10]=>1000000000=>[1,10] [1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0]=>[10]=>1000000000=>[1,10] [1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0]=>[10]=>1000000000=>[1,10] [1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0]=>[10]=>1000000000=>[1,10] [1,1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[10]=>1000000000=>[1,10] [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[8,1]=>100000001=>[1,8,1] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,1,4]=>111111000=>[1,1,1,1,1,1,4] [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[3,6]=>100100000=>[1,3,6] [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,1,1,1,1,1]=>110011111=>[1,1,3,1,1,1,1,1] [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[10]=>1000000000=>[1,10] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[10]=>1000000000=>[1,10] [1,1,1,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[5,4]=>100001000=>[1,5,4] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,1,3,1]=>111111001=>[1,1,1,1,1,1,3,1] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,7,1]=>110000001=>[1,1,7,1] [1,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[6,3]=>100000100=>[1,6,3] [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[8,1]=>100000001=>[1,8,1] [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[8,1]=>100000001=>[1,8,1] [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,1,1,4]=>101111000=>[1,2,1,1,1,4] [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,5,1,1,1,1]=>1100001111=>[1,1,5,1,1,1,1] [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[5,1,1,1,1]=>100001111=>[1,5,1,1,1,1] [1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[1,8]=>110000000=>[1,1,8] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[9,1]=>1000000001=>[1,9,1] [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[8,1]=>100000001=>[1,8,1] [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[8,1]=>100000001=>[1,8,1] [1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,9]=>1100000000=>[1,1,9] [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[3,1,1,4]=>100111000=>[1,3,1,1,4] [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,6,1]=>101000001=>[1,2,6,1] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0]=>[10]=>1000000000=>[1,10] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0]=>[10]=>1000000000=>[1,10] [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,6]=>110100000=>[1,1,2,6] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[9,1]=>1000000001=>[1,9,1] [1,1,1,0,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[5,4]=>100001000=>[1,5,4] [1,1,0,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,5]=>100010000=>[1,4,5] [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[7,1,1]=>100000011=>[1,7,1,1] [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[7,1,1]=>100000011=>[1,7,1,1] [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,7,1]=>110000001=>[1,1,7,1] [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[7,1,1]=>100000011=>[1,7,1,1] [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[6,1,1,1]=>100000111=>[1,6,1,1,1] [1,0,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,9]=>1100000000=>[1,1,9] [1,0,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,8]=>110000000=>[1,1,8] [1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,8]=>110000000=>[1,1,8] [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[1,8]=>110000000=>[1,1,8] [1,0,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,8]=>110000000=>[1,1,8] [1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,9]=>1100000000=>[1,1,9] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[8,1,1]=>1000000011=>[1,8,1,1] [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[7,1,1]=>100000011=>[1,7,1,1] [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,1,1,4]=>101111000=>[1,2,1,1,1,4] [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,1,1,4]=>110111000=>[1,1,2,1,1,4] [1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,7]=>101000000=>[1,2,7] [1,1,0,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[2,7]=>101000000=>[1,2,7] [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,7]=>101000000=>[1,2,7] [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[3,4,1,1]=>100100011=>[1,3,4,1,1] [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[5,1,1,1,1]=>100001111=>[1,5,1,1,1,1] [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,4,1,1,1,1]=>110001111=>[1,1,4,1,1,1,1] [1,1,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[4,5]=>100010000=>[1,4,5] [1,1,1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[3,6]=>100100000=>[1,3,6] [1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,5]=>100010000=>[1,4,5] [1,1,1,1,0,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[5,4]=>100001000=>[1,5,4] [1,1,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0]=>[6,3]=>100000100=>[1,6,3] [1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[4,5]=>100010000=>[1,4,5] [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,8]=>110000000=>[1,1,8] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[10]=>1000000000=>[1,10] [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[8,1]=>100000001=>[1,8,1]