Let's do it: [0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0]
010 phase done: [0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0]
tmpstr 000
i 0
tmpstr 001
i 1
tmpstr2 001
tmpstr 011
(-011) Now: [0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0]
tmpstr 100
i 3
tmpstr2 100
tmpstr 000
i 4
tmpstr2 000
tmpstr 000
i 5
tmpstr2 001
tmpstr 000
i 6
tmpstr2 011
(-011) Now: [0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0]
tmpstr 110
(-110) Now: [0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0]
tmpstr 011
(-011) Now: [0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0]
tmpstr 111
i 9
tmpstr2 111
tmpstr 110
(-110) Now: [0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0]
tmpstr 111
i 11
tmpstr2 101
tmpstr 111
i 12
tmpstr2 011
(-011) Now: [0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0]
tmpstr 100
i 13
tmpstr2 110
(-110) Now: [0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0]
i 14
tmpstr2 110
(-110) Now: [0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0]
i 15
tmpstr2 111
i 16
tmpstr2 110
(-110) Now: [1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0]
tmpstr 010
(-010) Now: [1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0]
tmpstr 100
i 1
tmpstr2 101
tmpstr 000
i 2
tmpstr2 011
(-011) Now: [1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0]
tmpstr 111
i 3
tmpstr2 110
(-110) Now: [1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0]
tmpstr 111
i 4
tmpstr2 010
(-010) Now: [1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0]
tmpstr 000
i 5
tmpstr2 011
(-011) Now: [1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0]
i 6
tmpstr2 010
(-010) Now: [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0]
i 7
tmpstr2 110
(-110) Now: [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0]
i 8
tmpstr2 111
i 9
tmpstr2 111
i 10
tmpstr2 111
i 11
tmpstr2 111
tmpstr 111
i 0
tmpstr 111
i 1
tmpstr2 111
tmpstr 111
i 2
tmpstr2 111
tmpstr 110
(-110) Now: [1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0]
tmpstr 100
i 4
tmpstr2 111
tmpstr 111
i 0
tmpstr 111
i 1
tmpstr2 111
tmpstr 111
i 2
tmpstr2 111
tmpstr 110
(-110) Now: [1, 1, 1, 1, 1, 1, 1, 1, 0]
tmpstr 111
i 0
tmpstr 111
i 1
tmpstr2 111
tmpstr 111
i 2
tmpstr2 111
tmpstr 110
(-110) Now: [1, 1, 1, 1, 1, 1, 1]
67
13 10 14 13 15 3 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 7 6 6 6 5 5 1 1 1 1 1 1 1 1 1 1 10 1 1 1 1 1 1 1 1 1 9 1 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1