************************************************************************
* www.FindStat.org - The Combinatorial Statistic Finder *
* *
* Copyright (C) 2013 The FindStatCrew <info@findstat.org> *
* *
* This information is distributed in the hope that it will be *
* useful, but WITHOUT ANY WARRANTY; without even the implied *
* warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. *
************************************************************************
------------------------------------------------------------------------
Map identifier: Mp00093
------------------------------------------------------------------------
Map name: to binary word
------------------------------------------------------------------------
Domain: Dyck paths
------------------------------------------------------------------------
Codomain: Binary words
------------------------------------------------------------------------
Description: Return the Dyck word as binary word.
------------------------------------------------------------------------
References:
------------------------------------------------------------------------
Code:
def mapping(w):
return Word(w)
------------------------------------------------------------------------
Map images:
[1,0] => 10
[1,0,1,0] => 1010
[1,1,0,0] => 1100
[1,0,1,0,1,0] => 101010
[1,0,1,1,0,0] => 101100
[1,1,0,0,1,0] => 110010
[1,1,0,1,0,0] => 110100
[1,1,1,0,0,0] => 111000
[1,0,1,0,1,0,1,0] => 10101010
[1,0,1,0,1,1,0,0] => 10101100
[1,0,1,1,0,0,1,0] => 10110010
[1,0,1,1,0,1,0,0] => 10110100
[1,0,1,1,1,0,0,0] => 10111000
[1,1,0,0,1,0,1,0] => 11001010
[1,1,0,0,1,1,0,0] => 11001100
[1,1,0,1,0,0,1,0] => 11010010
[1,1,0,1,0,1,0,0] => 11010100
[1,1,0,1,1,0,0,0] => 11011000
[1,1,1,0,0,0,1,0] => 11100010
[1,1,1,0,0,1,0,0] => 11100100
[1,1,1,0,1,0,0,0] => 11101000
[1,1,1,1,0,0,0,0] => 11110000
[1,0,1,0,1,0,1,0,1,0] => 1010101010
[1,0,1,0,1,0,1,1,0,0] => 1010101100
[1,0,1,0,1,1,0,0,1,0] => 1010110010
[1,0,1,0,1,1,0,1,0,0] => 1010110100
[1,0,1,0,1,1,1,0,0,0] => 1010111000
[1,0,1,1,0,0,1,0,1,0] => 1011001010
[1,0,1,1,0,0,1,1,0,0] => 1011001100
[1,0,1,1,0,1,0,0,1,0] => 1011010010
[1,0,1,1,0,1,0,1,0,0] => 1011010100
[1,0,1,1,0,1,1,0,0,0] => 1011011000
[1,0,1,1,1,0,0,0,1,0] => 1011100010
[1,0,1,1,1,0,0,1,0,0] => 1011100100
[1,0,1,1,1,0,1,0,0,0] => 1011101000
[1,0,1,1,1,1,0,0,0,0] => 1011110000
[1,1,0,0,1,0,1,0,1,0] => 1100101010
[1,1,0,0,1,0,1,1,0,0] => 1100101100
[1,1,0,0,1,1,0,0,1,0] => 1100110010
[1,1,0,0,1,1,0,1,0,0] => 1100110100
[1,1,0,0,1,1,1,0,0,0] => 1100111000
[1,1,0,1,0,0,1,0,1,0] => 1101001010
[1,1,0,1,0,0,1,1,0,0] => 1101001100
[1,1,0,1,0,1,0,0,1,0] => 1101010010
[1,1,0,1,0,1,0,1,0,0] => 1101010100
[1,1,0,1,0,1,1,0,0,0] => 1101011000
[1,1,0,1,1,0,0,0,1,0] => 1101100010
[1,1,0,1,1,0,0,1,0,0] => 1101100100
[1,1,0,1,1,0,1,0,0,0] => 1101101000
[1,1,0,1,1,1,0,0,0,0] => 1101110000
[1,1,1,0,0,0,1,0,1,0] => 1110001010
[1,1,1,0,0,0,1,1,0,0] => 1110001100
[1,1,1,0,0,1,0,0,1,0] => 1110010010
[1,1,1,0,0,1,0,1,0,0] => 1110010100
[1,1,1,0,0,1,1,0,0,0] => 1110011000
[1,1,1,0,1,0,0,0,1,0] => 1110100010
[1,1,1,0,1,0,0,1,0,0] => 1110100100
[1,1,1,0,1,0,1,0,0,0] => 1110101000
[1,1,1,0,1,1,0,0,0,0] => 1110110000
[1,1,1,1,0,0,0,0,1,0] => 1111000010
[1,1,1,1,0,0,0,1,0,0] => 1111000100
[1,1,1,1,0,0,1,0,0,0] => 1111001000
[1,1,1,1,0,1,0,0,0,0] => 1111010000
[1,1,1,1,1,0,0,0,0,0] => 1111100000
[1,0,1,0,1,0,1,0,1,0,1,0] => 101010101010
[1,0,1,0,1,0,1,0,1,1,0,0] => 101010101100
[1,0,1,0,1,0,1,1,0,0,1,0] => 101010110010
[1,0,1,0,1,0,1,1,0,1,0,0] => 101010110100
[1,0,1,0,1,0,1,1,1,0,0,0] => 101010111000
[1,0,1,0,1,1,0,0,1,0,1,0] => 101011001010
[1,0,1,0,1,1,0,0,1,1,0,0] => 101011001100
[1,0,1,0,1,1,0,1,0,0,1,0] => 101011010010
[1,0,1,0,1,1,0,1,0,1,0,0] => 101011010100
[1,0,1,0,1,1,0,1,1,0,0,0] => 101011011000
[1,0,1,0,1,1,1,0,0,0,1,0] => 101011100010
[1,0,1,0,1,1,1,0,0,1,0,0] => 101011100100
[1,0,1,0,1,1,1,0,1,0,0,0] => 101011101000
[1,0,1,0,1,1,1,1,0,0,0,0] => 101011110000
[1,0,1,1,0,0,1,0,1,0,1,0] => 101100101010
[1,0,1,1,0,0,1,0,1,1,0,0] => 101100101100
[1,0,1,1,0,0,1,1,0,0,1,0] => 101100110010
[1,0,1,1,0,0,1,1,0,1,0,0] => 101100110100
[1,0,1,1,0,0,1,1,1,0,0,0] => 101100111000
[1,0,1,1,0,1,0,0,1,0,1,0] => 101101001010
[1,0,1,1,0,1,0,0,1,1,0,0] => 101101001100
[1,0,1,1,0,1,0,1,0,0,1,0] => 101101010010
[1,0,1,1,0,1,0,1,0,1,0,0] => 101101010100
[1,0,1,1,0,1,0,1,1,0,0,0] => 101101011000
[1,0,1,1,0,1,1,0,0,0,1,0] => 101101100010
[1,0,1,1,0,1,1,0,0,1,0,0] => 101101100100
[1,0,1,1,0,1,1,0,1,0,0,0] => 101101101000
[1,0,1,1,0,1,1,1,0,0,0,0] => 101101110000
[1,0,1,1,1,0,0,0,1,0,1,0] => 101110001010
[1,0,1,1,1,0,0,0,1,1,0,0] => 101110001100
[1,0,1,1,1,0,0,1,0,0,1,0] => 101110010010
[1,0,1,1,1,0,0,1,0,1,0,0] => 101110010100
[1,0,1,1,1,0,0,1,1,0,0,0] => 101110011000
[1,0,1,1,1,0,1,0,0,0,1,0] => 101110100010
[1,0,1,1,1,0,1,0,0,1,0,0] => 101110100100
[1,0,1,1,1,0,1,0,1,0,0,0] => 101110101000
[1,0,1,1,1,0,1,1,0,0,0,0] => 101110110000
[1,0,1,1,1,1,0,0,0,0,1,0] => 101111000010
[1,0,1,1,1,1,0,0,0,1,0,0] => 101111000100
[1,0,1,1,1,1,0,0,1,0,0,0] => 101111001000
[1,0,1,1,1,1,0,1,0,0,0,0] => 101111010000
[1,0,1,1,1,1,1,0,0,0,0,0] => 101111100000
[1,1,0,0,1,0,1,0,1,0,1,0] => 110010101010
[1,1,0,0,1,0,1,0,1,1,0,0] => 110010101100
[1,1,0,0,1,0,1,1,0,0,1,0] => 110010110010
[1,1,0,0,1,0,1,1,0,1,0,0] => 110010110100
[1,1,0,0,1,0,1,1,1,0,0,0] => 110010111000
[1,1,0,0,1,1,0,0,1,0,1,0] => 110011001010
[1,1,0,0,1,1,0,0,1,1,0,0] => 110011001100
[1,1,0,0,1,1,0,1,0,0,1,0] => 110011010010
[1,1,0,0,1,1,0,1,0,1,0,0] => 110011010100
[1,1,0,0,1,1,0,1,1,0,0,0] => 110011011000
[1,1,0,0,1,1,1,0,0,0,1,0] => 110011100010
[1,1,0,0,1,1,1,0,0,1,0,0] => 110011100100
[1,1,0,0,1,1,1,0,1,0,0,0] => 110011101000
[1,1,0,0,1,1,1,1,0,0,0,0] => 110011110000
[1,1,0,1,0,0,1,0,1,0,1,0] => 110100101010
[1,1,0,1,0,0,1,0,1,1,0,0] => 110100101100
[1,1,0,1,0,0,1,1,0,0,1,0] => 110100110010
[1,1,0,1,0,0,1,1,0,1,0,0] => 110100110100
[1,1,0,1,0,0,1,1,1,0,0,0] => 110100111000
[1,1,0,1,0,1,0,0,1,0,1,0] => 110101001010
[1,1,0,1,0,1,0,0,1,1,0,0] => 110101001100
[1,1,0,1,0,1,0,1,0,0,1,0] => 110101010010
[1,1,0,1,0,1,0,1,0,1,0,0] => 110101010100
[1,1,0,1,0,1,0,1,1,0,0,0] => 110101011000
[1,1,0,1,0,1,1,0,0,0,1,0] => 110101100010
[1,1,0,1,0,1,1,0,0,1,0,0] => 110101100100
[1,1,0,1,0,1,1,0,1,0,0,0] => 110101101000
[1,1,0,1,0,1,1,1,0,0,0,0] => 110101110000
[1,1,0,1,1,0,0,0,1,0,1,0] => 110110001010
[1,1,0,1,1,0,0,0,1,1,0,0] => 110110001100
[1,1,0,1,1,0,0,1,0,0,1,0] => 110110010010
[1,1,0,1,1,0,0,1,0,1,0,0] => 110110010100
[1,1,0,1,1,0,0,1,1,0,0,0] => 110110011000
[1,1,0,1,1,0,1,0,0,0,1,0] => 110110100010
[1,1,0,1,1,0,1,0,0,1,0,0] => 110110100100
[1,1,0,1,1,0,1,0,1,0,0,0] => 110110101000
[1,1,0,1,1,0,1,1,0,0,0,0] => 110110110000
[1,1,0,1,1,1,0,0,0,0,1,0] => 110111000010
[1,1,0,1,1,1,0,0,0,1,0,0] => 110111000100
[1,1,0,1,1,1,0,0,1,0,0,0] => 110111001000
[1,1,0,1,1,1,0,1,0,0,0,0] => 110111010000
[1,1,0,1,1,1,1,0,0,0,0,0] => 110111100000
[1,1,1,0,0,0,1,0,1,0,1,0] => 111000101010
[1,1,1,0,0,0,1,0,1,1,0,0] => 111000101100
[1,1,1,0,0,0,1,1,0,0,1,0] => 111000110010
[1,1,1,0,0,0,1,1,0,1,0,0] => 111000110100
[1,1,1,0,0,0,1,1,1,0,0,0] => 111000111000
[1,1,1,0,0,1,0,0,1,0,1,0] => 111001001010
[1,1,1,0,0,1,0,0,1,1,0,0] => 111001001100
[1,1,1,0,0,1,0,1,0,0,1,0] => 111001010010
[1,1,1,0,0,1,0,1,0,1,0,0] => 111001010100
[1,1,1,0,0,1,0,1,1,0,0,0] => 111001011000
[1,1,1,0,0,1,1,0,0,0,1,0] => 111001100010
[1,1,1,0,0,1,1,0,0,1,0,0] => 111001100100
[1,1,1,0,0,1,1,0,1,0,0,0] => 111001101000
[1,1,1,0,0,1,1,1,0,0,0,0] => 111001110000
[1,1,1,0,1,0,0,0,1,0,1,0] => 111010001010
[1,1,1,0,1,0,0,0,1,1,0,0] => 111010001100
[1,1,1,0,1,0,0,1,0,0,1,0] => 111010010010
[1,1,1,0,1,0,0,1,0,1,0,0] => 111010010100
[1,1,1,0,1,0,0,1,1,0,0,0] => 111010011000
[1,1,1,0,1,0,1,0,0,0,1,0] => 111010100010
[1,1,1,0,1,0,1,0,0,1,0,0] => 111010100100
[1,1,1,0,1,0,1,0,1,0,0,0] => 111010101000
[1,1,1,0,1,0,1,1,0,0,0,0] => 111010110000
[1,1,1,0,1,1,0,0,0,0,1,0] => 111011000010
[1,1,1,0,1,1,0,0,0,1,0,0] => 111011000100
[1,1,1,0,1,1,0,0,1,0,0,0] => 111011001000
[1,1,1,0,1,1,0,1,0,0,0,0] => 111011010000
[1,1,1,0,1,1,1,0,0,0,0,0] => 111011100000
[1,1,1,1,0,0,0,0,1,0,1,0] => 111100001010
[1,1,1,1,0,0,0,0,1,1,0,0] => 111100001100
[1,1,1,1,0,0,0,1,0,0,1,0] => 111100010010
[1,1,1,1,0,0,0,1,0,1,0,0] => 111100010100
[1,1,1,1,0,0,0,1,1,0,0,0] => 111100011000
[1,1,1,1,0,0,1,0,0,0,1,0] => 111100100010
[1,1,1,1,0,0,1,0,0,1,0,0] => 111100100100
[1,1,1,1,0,0,1,0,1,0,0,0] => 111100101000
[1,1,1,1,0,0,1,1,0,0,0,0] => 111100110000
[1,1,1,1,0,1,0,0,0,0,1,0] => 111101000010
[1,1,1,1,0,1,0,0,0,1,0,0] => 111101000100
[1,1,1,1,0,1,0,0,1,0,0,0] => 111101001000
[1,1,1,1,0,1,0,1,0,0,0,0] => 111101010000
[1,1,1,1,0,1,1,0,0,0,0,0] => 111101100000
[1,1,1,1,1,0,0,0,0,0,1,0] => 111110000010
[1,1,1,1,1,0,0,0,0,1,0,0] => 111110000100
[1,1,1,1,1,0,0,0,1,0,0,0] => 111110001000
[1,1,1,1,1,0,0,1,0,0,0,0] => 111110010000
[1,1,1,1,1,0,1,0,0,0,0,0] => 111110100000
[1,1,1,1,1,1,0,0,0,0,0,0] => 111111000000
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 10101010101010
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 10101010101100
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 10101010110010
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 10101010110100
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 10101010111000
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 10101011001010
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 10101011001100
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 10101011010010
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 10101011010100
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 10101011011000
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 10101011100010
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 10101011100100
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 10101011101000
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 10101011110000
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 10101100101010
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 10101100101100
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 10101100110010
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 10101100110100
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 10101100111000
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 10101101001010
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 10101101001100
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 10101101010010
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 10101101010100
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 10101101011000
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 10101101100010
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 10101101100100
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 10101101101000
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 10101101110000
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 10101110001010
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 10101110001100
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 10101110010010
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 10101110010100
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 10101110011000
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 10101110100010
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 10101110100100
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 10101110101000
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 10101110110000
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 10101111000010
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 10101111000100
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 10101111001000
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 10101111010000
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 10101111100000
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 10110010101010
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 10110010101100
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 10110010110010
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 10110010110100
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 10110010111000
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 10110011001010
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 10110011001100
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 10110011010010
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 10110011010100
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 10110011011000
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 10110011100010
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 10110011100100
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 10110011101000
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 10110011110000
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 10110100101010
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 10110100101100
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 10110100110010
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 10110100110100
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 10110100111000
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 10110101001010
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 10110101001100
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 10110101010010
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 10110101010100
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 10110101011000
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 10110101100010
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 10110101100100
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 10110101101000
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 10110101110000
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 10110110001010
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 10110110001100
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 10110110010010
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 10110110010100
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 10110110011000
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 10110110100010
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 10110110100100
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 10110110101000
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 10110110110000
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 10110111000010
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 10110111000100
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 10110111001000
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 10110111010000
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 10110111100000
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 10111000101010
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 10111000101100
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 10111000110010
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 10111000110100
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 10111000111000
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 10111001001010
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 10111001001100
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 10111001010010
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 10111001010100
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 10111001011000
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 10111001100010
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 10111001100100
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 10111001101000
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 10111001110000
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 10111010001010
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 10111010001100
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 10111010010010
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 10111010010100
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 10111010011000
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 10111010100010
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 10111010100100
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 10111010101000
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 10111010110000
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 10111011000010
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 10111011000100
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 10111011001000
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 10111011010000
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 10111011100000
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 10111100001010
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 10111100001100
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 10111100010010
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 10111100010100
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 10111100011000
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 10111100100010
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 10111100100100
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 10111100101000
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 10111100110000
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 10111101000010
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 10111101000100
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 10111101001000
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 10111101010000
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 10111101100000
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 10111110000010
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 10111110000100
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 10111110001000
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 10111110010000
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 10111110100000
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 10111111000000
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 11001010101010
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 11001010101100
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 11001010110010
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 11001010110100
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 11001010111000
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 11001011001010
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 11001011001100
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 11001011010010
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 11001011010100
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 11001011011000
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 11001011100010
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 11001011100100
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 11001011101000
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 11001011110000
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 11001100101010
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 11001100101100
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 11001100110010
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 11001100110100
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 11001100111000
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 11001101001010
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 11001101001100
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 11001101010010
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 11001101010100
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 11001101011000
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 11001101100010
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 11001101100100
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 11001101101000
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 11001101110000
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 11001110001010
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 11001110001100
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 11001110010010
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 11001110010100
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 11001110011000
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 11001110100010
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 11001110100100
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 11001110101000
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 11001110110000
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11001111000010
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 11001111000100
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 11001111001000
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 11001111010000
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 11001111100000
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 11010010101010
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 11010010101100
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 11010010110010
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 11010010110100
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 11010010111000
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 11010011001010
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 11010011001100
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 11010011010010
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 11010011010100
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 11010011011000
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 11010011100010
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 11010011100100
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 11010011101000
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 11010011110000
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 11010100101010
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 11010100101100
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 11010100110010
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 11010100110100
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 11010100111000
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 11010101001010
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 11010101001100
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 11010101010010
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 11010101010100
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 11010101011000
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 11010101100010
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 11010101100100
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 11010101101000
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 11010101110000
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 11010110001010
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 11010110001100
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 11010110010010
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 11010110010100
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 11010110011000
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 11010110100010
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 11010110100100
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 11010110101000
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 11010110110000
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 11010111000010
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 11010111000100
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 11010111001000
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 11010111010000
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 11010111100000
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 11011000101010
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 11011000101100
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 11011000110010
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 11011000110100
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 11011000111000
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 11011001001010
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 11011001001100
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 11011001010010
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 11011001010100
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 11011001011000
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 11011001100010
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 11011001100100
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 11011001101000
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 11011001110000
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 11011010001010
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 11011010001100
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 11011010010010
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 11011010010100
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 11011010011000
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 11011010100010
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 11011010100100
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 11011010101000
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 11011010110000
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 11011011000010
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 11011011000100
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 11011011001000
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 11011011010000
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 11011011100000
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 11011100001010
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 11011100001100
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 11011100010010
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 11011100010100
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 11011100011000
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 11011100100010
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 11011100100100
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 11011100101000
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 11011100110000
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 11011101000010
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 11011101000100
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 11011101001000
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 11011101010000
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 11011101100000
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 11011110000010
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 11011110000100
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 11011110001000
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 11011110010000
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 11011110100000
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 11011111000000
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 11100010101010
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 11100010101100
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 11100010110010
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 11100010110100
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 11100010111000
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 11100011001010
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 11100011001100
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 11100011010010
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 11100011010100
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 11100011011000
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 11100011100010
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 11100011100100
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 11100011101000
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 11100011110000
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 11100100101010
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 11100100101100
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 11100100110010
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 11100100110100
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 11100100111000
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 11100101001010
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 11100101001100
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 11100101010010
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 11100101010100
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 11100101011000
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 11100101100010
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 11100101100100
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 11100101101000
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 11100101110000
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 11100110001010
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 11100110001100
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 11100110010010
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 11100110010100
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 11100110011000
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 11100110100010
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 11100110100100
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 11100110101000
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 11100110110000
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 11100111000010
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 11100111000100
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 11100111001000
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 11100111010000
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 11100111100000
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 11101000101010
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 11101000101100
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 11101000110010
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 11101000110100
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 11101000111000
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 11101001001010
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 11101001001100
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 11101001010010
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 11101001010100
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 11101001011000
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 11101001100010
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 11101001100100
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 11101001101000
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 11101001110000
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 11101010001010
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 11101010001100
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 11101010010010
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 11101010010100
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 11101010011000
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 11101010100010
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 11101010100100
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 11101010101000
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 11101010110000
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 11101011000010
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 11101011000100
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 11101011001000
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 11101011010000
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 11101011100000
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 11101100001010
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 11101100001100
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 11101100010010
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 11101100010100
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 11101100011000
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 11101100100010
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 11101100100100
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 11101100101000
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 11101100110000
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 11101101000010
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 11101101000100
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 11101101001000
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 11101101010000
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 11101101100000
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 11101110000010
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 11101110000100
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 11101110001000
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 11101110010000
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 11101110100000
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 11101111000000
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 11110000101010
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 11110000101100
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 11110000110010
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 11110000110100
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 11110000111000
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 11110001001010
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 11110001001100
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 11110001010010
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 11110001010100
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 11110001011000
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 11110001100010
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 11110001100100
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 11110001101000
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 11110001110000
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 11110010001010
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 11110010001100
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 11110010010010
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 11110010010100
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 11110010011000
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 11110010100010
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 11110010100100
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 11110010101000
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 11110010110000
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 11110011000010
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 11110011000100
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 11110011001000
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 11110011010000
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 11110011100000
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 11110100001010
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 11110100001100
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 11110100010010
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 11110100010100
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 11110100011000
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 11110100100010
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 11110100100100
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 11110100101000
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 11110100110000
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 11110101000010
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 11110101000100
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 11110101001000
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 11110101010000
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 11110101100000
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 11110110000010
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 11110110000100
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 11110110001000
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 11110110010000
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 11110110100000
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 11110111000000
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 11111000001010
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 11111000001100
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 11111000010010
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 11111000010100
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 11111000011000
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 11111000100010
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 11111000100100
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 11111000101000
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 11111000110000
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 11111001000010
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 11111001000100
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 11111001001000
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 11111001010000
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 11111001100000
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 11111010000010
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 11111010000100
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 11111010001000
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 11111010010000
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 11111010100000
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 11111011000000
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 11111100000010
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 11111100000100
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 11111100001000
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 11111100010000
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 11111100100000
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 11111101000000
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 11111110000000
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1010101010101010
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1010101010101100
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 1010101010110010
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1010101010110100
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 1010101010111000
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 1010101011001010
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 1010101011001100
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 1010101011010010
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 1010101011010100
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 1010101011011000
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 1010101011100010
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 1010101011100100
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 1010101011101000
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 1010101011110000
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 1010101100101010
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 1010101100101100
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 1010101100110010
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 1010101100110100
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 1010101100111000
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 1010101101001010
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 1010101101001100
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 1010101101010010
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 1010101101010100
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 1010101101011000
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 1010101101100010
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 1010101101100100
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 1010101101101000
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 1010101101110000
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 1010101110001010
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 1010101110001100
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 1010101110010010
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 1010101110010100
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 1010101110011000
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 1010101110100010
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 1010101110100100
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 1010101110101000
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 1010101110110000
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 1010101111000010
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 1010101111000100
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 1010101111001000
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 1010101111010000
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 1010101111100000
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 1010110010101010
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 1010110010101100
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 1010110010110010
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 1010110010110100
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 1010110010111000
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 1010110011001010
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 1010110011001100
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 1010110011010010
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 1010110011010100
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 1010110011011000
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 1010110011100010
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 1010110011100100
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 1010110011101000
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 1010110011110000
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 1010110100101010
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 1010110100101100
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 1010110100110010
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 1010110100110100
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 1010110100111000
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 1010110101001010
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 1010110101001100
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 1010110101010010
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 1010110101010100
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 1010110101011000
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 1010110101100010
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 1010110101100100
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 1010110101101000
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 1010110101110000
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 1010110110001010
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 1010110110001100
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 1010110110010010
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 1010110110010100
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 1010110110011000
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 1010110110100010
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 1010110110100100
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 1010110110101000
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 1010110110110000
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 1010110111000010
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 1010110111000100
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 1010110111001000
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 1010110111010000
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 1010110111100000
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 1010111000101010
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 1010111000101100
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 1010111000110010
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 1010111000110100
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 1010111000111000
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 1010111001001010
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 1010111001001100
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 1010111001010010
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 1010111001010100
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 1010111001011000
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 1010111001100010
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 1010111001100100
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 1010111001101000
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 1010111001110000
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 1010111010001010
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 1010111010001100
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 1010111010010010
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 1010111010010100
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 1010111010011000
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 1010111010100010
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 1010111010100100
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 1010111010101000
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 1010111010110000
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 1010111011000010
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 1010111011000100
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 1010111011001000
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 1010111011010000
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 1010111011100000
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 1010111100001010
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 1010111100001100
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 1010111100010010
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 1010111100010100
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 1010111100011000
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 1010111100100010
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 1010111100100100
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 1010111100101000
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 1010111100110000
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 1010111101000010
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 1010111101000100
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 1010111101001000
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 1010111101010000
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 1010111101100000
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 1010111110000010
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 1010111110000100
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 1010111110001000
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 1010111110010000
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 1010111110100000
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1010111111000000
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1011001010101010
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 1011001010101100
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 1011001010110010
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 1011001010110100
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 1011001010111000
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 1011001011001010
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 1011001011001100
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 1011001011010010
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 1011001011010100
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 1011001011011000
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 1011001011100010
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 1011001011100100
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 1011001011101000
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 1011001011110000
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 1011001100101010
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 1011001100101100
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 1011001100110010
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 1011001100110100
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 1011001100111000
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 1011001101001010
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 1011001101001100
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 1011001101010010
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 1011001101010100
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 1011001101011000
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 1011001101100010
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 1011001101100100
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 1011001101101000
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 1011001101110000
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 1011001110001010
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 1011001110001100
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 1011001110010010
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 1011001110010100
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 1011001110011000
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 1011001110100010
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 1011001110100100
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 1011001110101000
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 1011001110110000
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 1011001111000010
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 1011001111000100
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 1011001111001000
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 1011001111010000
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 1011001111100000
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 1011010010101010
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 1011010010101100
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 1011010010110010
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 1011010010110100
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 1011010010111000
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 1011010011001010
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 1011010011001100
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 1011010011010010
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 1011010011010100
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 1011010011011000
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 1011010011100010
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 1011010011100100
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 1011010011101000
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 1011010011110000
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 1011010100101010
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 1011010100101100
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 1011010100110010
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 1011010100110100
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 1011010100111000
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 1011010101001010
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 1011010101001100
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 1011010101010010
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 1011010101010100
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 1011010101011000
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 1011010101100010
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 1011010101100100
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 1011010101101000
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 1011010101110000
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 1011010110001010
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 1011010110001100
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 1011010110010010
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 1011010110010100
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 1011010110011000
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 1011010110100010
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 1011010110100100
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 1011010110101000
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 1011010110110000
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 1011010111000010
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 1011010111000100
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 1011010111001000
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 1011010111010000
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 1011010111100000
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 1011011000101010
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 1011011000101100
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 1011011000110010
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 1011011000110100
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 1011011000111000
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 1011011001001010
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 1011011001001100
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 1011011001010010
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 1011011001010100
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 1011011001011000
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 1011011001100010
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 1011011001100100
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 1011011001101000
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 1011011001110000
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 1011011010001010
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 1011011010001100
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 1011011010010010
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 1011011010010100
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 1011011010011000
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 1011011010100010
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 1011011010100100
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 1011011010101000
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 1011011010110000
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 1011011011000010
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 1011011011000100
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 1011011011001000
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 1011011011010000
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 1011011011100000
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 1011011100001010
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 1011011100001100
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 1011011100010010
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 1011011100010100
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 1011011100011000
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 1011011100100010
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 1011011100100100
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 1011011100101000
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 1011011100110000
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 1011011101000010
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 1011011101000100
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 1011011101001000
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 1011011101010000
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 1011011101100000
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 1011011110000010
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 1011011110000100
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 1011011110001000
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 1011011110010000
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 1011011110100000
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 1011011111000000
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 1011100010101010
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 1011100010101100
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 1011100010110010
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 1011100010110100
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 1011100010111000
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 1011100011001010
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 1011100011001100
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 1011100011010010
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 1011100011010100
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 1011100011011000
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 1011100011100010
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 1011100011100100
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 1011100011101000
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1011100011110000
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 1011100100101010
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 1011100100101100
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 1011100100110010
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 1011100100110100
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 1011100100111000
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 1011100101001010
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 1011100101001100
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 1011100101010010
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 1011100101010100
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 1011100101011000
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 1011100101100010
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 1011100101100100
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 1011100101101000
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 1011100101110000
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 1011100110001010
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 1011100110001100
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 1011100110010010
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 1011100110010100
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 1011100110011000
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 1011100110100010
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 1011100110100100
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 1011100110101000
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 1011100110110000
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 1011100111000010
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 1011100111000100
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 1011100111001000
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 1011100111010000
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 1011100111100000
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 1011101000101010
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 1011101000101100
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 1011101000110010
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 1011101000110100
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 1011101000111000
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 1011101001001010
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 1011101001001100
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 1011101001010010
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 1011101001010100
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 1011101001011000
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 1011101001100010
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 1011101001100100
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 1011101001101000
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 1011101001110000
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 1011101010001010
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 1011101010001100
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 1011101010010010
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 1011101010010100
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 1011101010011000
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 1011101010100010
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 1011101010100100
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 1011101010101000
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 1011101010110000
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 1011101011000010
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 1011101011000100
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 1011101011001000
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 1011101011010000
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 1011101011100000
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 1011101100001010
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 1011101100001100
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 1011101100010010
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 1011101100010100
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 1011101100011000
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 1011101100100010
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 1011101100100100
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 1011101100101000
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 1011101100110000
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 1011101101000010
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 1011101101000100
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 1011101101001000
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 1011101101010000
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 1011101101100000
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 1011101110000010
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 1011101110000100
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 1011101110001000
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 1011101110010000
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 1011101110100000
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 1011101111000000
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 1011110000101010
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 1011110000101100
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 1011110000110010
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 1011110000110100
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1011110000111000
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 1011110001001010
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 1011110001001100
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 1011110001010010
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 1011110001010100
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 1011110001011000
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 1011110001100010
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 1011110001100100
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 1011110001101000
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 1011110001110000
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 1011110010001010
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 1011110010001100
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 1011110010010010
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 1011110010010100
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 1011110010011000
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 1011110010100010
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 1011110010100100
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 1011110010101000
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 1011110010110000
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 1011110011000010
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 1011110011000100
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 1011110011001000
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 1011110011010000
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 1011110011100000
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 1011110100001010
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 1011110100001100
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 1011110100010010
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 1011110100010100
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 1011110100011000
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 1011110100100010
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 1011110100100100
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 1011110100101000
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 1011110100110000
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 1011110101000010
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 1011110101000100
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 1011110101001000
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 1011110101010000
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 1011110101100000
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 1011110110000010
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 1011110110000100
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 1011110110001000
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 1011110110010000
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 1011110110100000
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 1011110111000000
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 1011111000001010
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 1011111000001100
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 1011111000010010
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 1011111000010100
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 1011111000011000
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 1011111000100010
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 1011111000100100
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 1011111000101000
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 1011111000110000
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 1011111001000010
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 1011111001000100
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 1011111001001000
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 1011111001010000
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 1011111001100000
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 1011111010000010
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 1011111010000100
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 1011111010001000
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 1011111010010000
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 1011111010100000
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 1011111011000000
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1011111100000010
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 1011111100000100
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 1011111100001000
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 1011111100010000
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 1011111100100000
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 1011111101000000
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 1011111110000000
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1100101010101010
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 1100101010101100
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 1100101010110010
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 1100101010110100
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 1100101010111000
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 1100101011001010
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 1100101011001100
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 1100101011010010
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 1100101011010100
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 1100101011011000
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 1100101011100010
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 1100101011100100
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 1100101011101000
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 1100101011110000
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 1100101100101010
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 1100101100101100
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 1100101100110010
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 1100101100110100
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 1100101100111000
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 1100101101001010
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 1100101101001100
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 1100101101010010
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 1100101101010100
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 1100101101011000
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 1100101101100010
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 1100101101100100
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 1100101101101000
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 1100101101110000
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 1100101110001010
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 1100101110001100
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 1100101110010010
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 1100101110010100
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 1100101110011000
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 1100101110100010
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 1100101110100100
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 1100101110101000
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 1100101110110000
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 1100101111000010
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 1100101111000100
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 1100101111001000
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 1100101111010000
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 1100101111100000
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 1100110010101010
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 1100110010101100
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 1100110010110010
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 1100110010110100
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 1100110010111000
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 1100110011001010
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 1100110011001100
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 1100110011010010
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 1100110011010100
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 1100110011011000
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 1100110011100010
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 1100110011100100
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 1100110011101000
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 1100110011110000
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 1100110100101010
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 1100110100101100
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 1100110100110010
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 1100110100110100
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 1100110100111000
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 1100110101001010
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 1100110101001100
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 1100110101010010
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 1100110101010100
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 1100110101011000
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 1100110101100010
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 1100110101100100
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 1100110101101000
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 1100110101110000
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 1100110110001010
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 1100110110001100
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 1100110110010010
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 1100110110010100
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 1100110110011000
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 1100110110100010
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 1100110110100100
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 1100110110101000
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 1100110110110000
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 1100110111000010
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 1100110111000100
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 1100110111001000
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 1100110111010000
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 1100110111100000
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 1100111000101010
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 1100111000101100
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 1100111000110010
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 1100111000110100
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 1100111000111000
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 1100111001001010
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 1100111001001100
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 1100111001010010
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 1100111001010100
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 1100111001011000
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 1100111001100010
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 1100111001100100
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 1100111001101000
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 1100111001110000
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 1100111010001010
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 1100111010001100
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 1100111010010010
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 1100111010010100
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 1100111010011000
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 1100111010100010
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 1100111010100100
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 1100111010101000
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 1100111010110000
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 1100111011000010
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 1100111011000100
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 1100111011001000
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 1100111011010000
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 1100111011100000
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 1100111100001010
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 1100111100001100
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 1100111100010010
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 1100111100010100
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 1100111100011000
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 1100111100100010
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 1100111100100100
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 1100111100101000
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 1100111100110000
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 1100111101000010
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 1100111101000100
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 1100111101001000
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 1100111101010000
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 1100111101100000
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 1100111110000010
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 1100111110000100
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 1100111110001000
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 1100111110010000
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 1100111110100000
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 1100111111000000
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 1101001010101010
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 1101001010101100
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 1101001010110010
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 1101001010110100
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 1101001010111000
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 1101001011001010
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 1101001011001100
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 1101001011010010
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 1101001011010100
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 1101001011011000
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 1101001011100010
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 1101001011100100
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 1101001011101000
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 1101001011110000
-----------------------------------------------------------------------------
Created: Jan 29, 2020 at 13:27 by FindStatCrew
-----------------------------------------------------------------------------
Last Updated: Jan 29, 2020 at 13:27 by Martin Rubey