Identifier
Images
=>
Cc0010;cc-rep-1
[]=>.
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[4,7,1,6,2,5,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,7,1,6,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,7,1,6,3,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[4,7,1,6,5,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,7,2,1,3,5,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[4,7,2,1,3,6,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[4,7,2,1,5,3,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,7,2,1,5,6,3]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[4,7,2,1,6,3,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,7,2,1,6,5,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,7,2,3,1,5,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,7,2,3,1,6,5]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,7,2,3,5,1,6]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[4,7,2,3,5,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,7,2,3,6,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[4,7,2,3,6,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,7,2,5,1,3,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,7,2,5,1,6,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,7,2,5,3,1,6]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,7,2,5,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,7,2,5,6,1,3]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[4,7,2,5,6,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,7,2,6,1,3,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,7,2,6,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,7,2,6,3,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,7,2,6,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,7,2,6,5,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,7,2,6,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,7,3,1,2,5,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[4,7,3,1,2,6,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[4,7,3,1,5,2,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,7,3,1,5,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[4,7,3,1,6,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,7,3,2,1,5,6]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[4,7,3,2,1,6,5]=>[[[[.,[.,.]],.],.],[[.,.],.]]
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[4,7,3,2,5,6,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
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[4,7,3,2,6,5,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[4,7,3,5,1,2,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,7,3,5,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,7,3,5,2,1,6]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[4,7,3,5,2,6,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[4,7,3,5,6,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[4,7,3,5,6,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[4,7,3,6,1,2,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,7,3,6,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,7,3,6,2,1,5]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[4,7,3,6,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[4,7,3,6,5,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,7,3,6,5,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
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[4,7,5,1,2,6,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,7,5,1,3,2,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,7,5,1,3,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[4,7,5,1,6,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
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[4,7,5,2,1,3,6]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
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[4,7,5,2,3,1,6]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,7,5,2,3,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
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[4,7,5,2,6,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
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[4,7,5,3,6,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,7,5,6,1,3,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[4,7,5,6,2,1,3]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[4,7,5,6,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[4,7,5,6,3,1,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[4,7,5,6,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]
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[4,7,6,1,2,5,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
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[4,7,6,1,3,5,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[4,7,6,1,5,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
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[4,7,6,2,3,5,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
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[4,7,6,2,5,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
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[4,7,6,3,2,5,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
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[4,7,6,3,5,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
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[4,7,6,5,1,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
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[4,7,6,5,2,3,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
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[4,7,6,5,3,2,1]=>[[[[.,[[[.,.],.],.]],.],.],.]
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[5,1,2,3,4,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,1,2,3,6,4,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[5,1,2,3,6,7,4]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[5,1,2,3,7,4,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[5,1,2,3,7,6,4]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[5,1,2,4,3,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[5,1,2,4,3,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,1,2,4,6,3,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
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[5,1,2,4,7,3,6]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,1,2,4,7,6,3]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[5,1,2,6,3,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[5,1,2,6,3,7,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,1,2,6,4,3,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[5,1,2,6,4,7,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[5,1,2,6,7,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,1,2,6,7,4,3]=>[[.,.],[.,[[[.,[.,.]],.],.]]]
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[5,1,2,7,3,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
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[5,1,2,7,4,6,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
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[5,1,3,2,6,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
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[5,1,3,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,1,3,2,7,6,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,1,3,4,2,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
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[5,1,3,4,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[5,1,3,4,7,6,2]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[5,1,3,6,2,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[5,1,3,6,2,7,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,1,3,6,4,2,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[5,1,3,6,4,7,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[5,1,3,6,7,2,4]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
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[5,1,3,7,2,4,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
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[5,1,6,7,3,4,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
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[5,1,7,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
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[5,1,7,6,3,2,4]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[5,1,7,6,3,4,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
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[5,7,1,2,6,4,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[5,7,1,3,2,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,7,1,3,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,7,1,3,4,2,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,7,1,3,4,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[5,7,1,3,6,2,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,7,1,3,6,4,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[5,7,1,4,2,3,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,7,1,4,2,6,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,7,1,4,3,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,7,1,4,3,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[5,7,1,4,6,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,7,1,4,6,3,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[5,7,1,6,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,7,1,6,2,4,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,7,1,6,3,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,7,1,6,3,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[5,7,1,6,4,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,7,2,1,3,4,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[5,7,2,1,3,6,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[5,7,2,1,4,3,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,7,2,1,4,6,3]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[5,7,2,1,6,3,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,7,2,1,6,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,7,2,3,1,4,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,7,2,3,1,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,2,3,4,1,6]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,7,2,3,4,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[5,7,2,3,6,1,4]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,7,2,3,6,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[5,7,2,4,1,3,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,7,2,4,1,6,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,2,4,3,1,6]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,2,4,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,7,2,4,6,1,3]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,7,2,4,6,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,7,2,6,1,3,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,7,2,6,1,4,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,2,6,3,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,2,6,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,7,2,6,4,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,2,6,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,7,3,1,2,4,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[5,7,3,1,2,6,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
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[5,7,3,1,6,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
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[5,7,3,2,4,6,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
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[5,7,3,2,6,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
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[5,7,3,4,2,6,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[5,7,3,4,6,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[5,7,3,6,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,3,6,2,1,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[5,7,3,6,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[5,7,3,6,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,3,6,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
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[5,7,4,1,2,6,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
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[5,7,4,2,1,3,6]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
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[5,7,4,2,3,6,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
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[5,7,4,2,6,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
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[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
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[5,7,4,3,2,6,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
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[5,7,4,3,6,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[5,7,4,6,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,7,4,6,1,3,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,4,6,2,1,3]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[5,7,4,6,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
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[5,7,4,6,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
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[5,7,6,1,2,4,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
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[5,7,6,2,4,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
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[5,7,6,3,4,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
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[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,7,6,4,2,1,3]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[5,7,6,4,2,3,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
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[5,7,6,4,3,2,1]=>[[[[[.,[[.,.],.]],.],.],.],.]
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[6,1,2,3,5,7,4]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
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[7,8,6,5,4,1,3,2]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]
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[5,8,4,2,6,1,3,7]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]
[4,8,7,2,5,1,3,6]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]
[4,8,3,2,5,1,7,6]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[4,3,7,2,5,1,8,6]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[6,4,2,7,5,1,3,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
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[5,2,7,6,8,1,3,4]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
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[6,4,7,3,1,5,8,2]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]
[5,4,7,3,1,8,6,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[5,4,3,6,1,8,7,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[5,3,7,6,1,4,8,2]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[4,3,7,6,1,5,8,2]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
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[6,4,2,7,1,5,3,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
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[3,2,7,6,1,4,5,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
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[5,8,4,1,6,7,3,2]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]
[6,4,7,1,5,8,3,2]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]
[4,8,7,1,5,6,3,2]=>[[.,[[.,.],.]],[[[.,[.,.]],.],.]]
[4,8,3,1,5,6,7,2]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]
[5,8,2,1,6,4,3,7]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
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[3,8,2,1,5,4,6,7]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[6,2,7,1,5,4,3,8]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[5,2,7,1,6,4,3,8]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[4,2,7,1,5,6,3,8]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[3,2,7,1,5,4,6,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
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[5,4,1,6,7,8,3,2]=>[[[.,.],.],[[[.,[.,[.,.]]],.],.]]
[6,3,1,7,5,4,8,2]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]
[5,3,1,6,7,4,8,2]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]
[4,3,1,6,5,7,8,2]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]
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[2,8,1,6,5,4,3,7]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[6,1,7,8,5,4,3,2]=>[[.,.],[[[[[.,[.,.]],.],.],.],.]]
[4,1,7,6,5,8,3,2]=>[[.,.],[[[[[.,.],.],[.,.]],.],.]]
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[8,1,3,5,7,2,4,6]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[3,6,8,1,7,2,4,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,4,5,6,8,1,7,2]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
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[2,7,8,3,5,6,1,4]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]
[2,4,5,7,8,1,6,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[4,5,8,1,7,6,3,2]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]
[4,5,8,7,2,1,6,3]=>[[[.,[.,[[.,.],.]]],.],[[.,.],.]]
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[8,7,2,1,3,5,4,6]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[3,6,8,7,2,1,5,4]=>[[[.,[.,[[.,.],.]]],.],[[.,.],.]]
[8,6,4,1,7,5,3,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[7,6,4,3,1,8,5,2]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[2,3,6,7,8,1,5,4]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[3,6,8,1,2,5,4,7]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[1,3,6,7,2,5,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,4,1,8,5,2,3,6]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[7,1,4,2,8,3,6,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[7,1,8,2,5,3,6,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
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[3,6,8,1,7,5,4,2]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]
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[2,7,8,6,3,1,5,4]=>[[.,[[[.,[.,.]],.],.]],[[.,.],.]]
[2,7,8,1,6,5,4,3]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]
[7,3,1,8,6,5,4,2]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[8,7,2,1,6,5,4,3]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[8,7,6,3,2,1,5,4]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[2,1,8,6,3,7,4,5]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
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[8,5,1,7,4,2,6,3]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[2,1,7,5,4,3,8,6]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[2,1,8,4,5,3,6,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[2,1,7,8,3,6,5,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]
[2,1,8,5,7,6,3,4]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[2,1,4,8,5,7,3,6]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[2,1,5,4,6,8,3,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
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[7,5,1,4,6,8,3,2]=>[[[.,.],.],[[[.,[.,[.,.]]],.],.]]
[6,4,1,5,2,3,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
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[4,6,3,2,7,8,1,5]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]
[3,8,2,4,7,5,1,6]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]
[3,6,8,7,5,4,1,2]=>[[.,[[[.,[[.,.],.]],.],.]],[.,.]]
[8,5,2,7,4,6,1,3]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[5,8,2,1,7,6,4,3]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]
[6,3,8,1,5,7,4,2]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]
[8,3,2,4,1,7,5,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[7,4,2,3,1,8,6,5]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[7,2,4,3,1,5,8,6]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[7,8,3,1,5,4,6,2]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]
[7,2,8,1,4,6,5,3]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[6,2,3,1,4,5,8,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[5,6,1,4,3,2,8,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[5,7,1,8,3,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[6,8,1,4,5,3,2,7]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[6,7,1,5,4,3,8,2]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]
[8,7,5,1,3,4,2,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[6,5,7,1,3,8,2,4]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[8,2,6,1,4,7,3,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[5,8,1,6,3,7,4,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]
[8,3,5,6,1,7,4,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[7,5,4,8,2,1,3,6]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]
[7,3,6,5,4,1,8,2]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]
[8,3,6,4,5,1,2,7]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[7,3,5,8,1,6,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[6,3,5,4,1,2,8,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[2,6,3,5,1,4,8,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[2,7,8,5,1,6,4,3]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]
[8,7,3,6,5,1,4,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[2,8,3,4,6,1,5,7]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[2,7,4,3,6,1,8,5]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[3,4,7,2,8,1,5,6]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[4,3,2,5,7,1,8,6]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[4,2,3,5,8,1,6,7]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[3,2,8,4,7,1,6,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[8,2,4,7,5,1,6,3]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]
[3,8,4,7,1,6,5,2]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]
[3,2,4,6,1,5,8,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[8,3,4,5,7,6,1,2]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[2,8,4,6,5,7,1,3]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[2,3,8,4,6,7,1,5]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[2,4,3,5,8,7,1,6]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]
[3,2,4,5,6,8,1,7]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[5,6,8,1,4,2,7,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[1,5,7,8,4,6,2,3]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[1,3,5,7,8,6,2,4]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]
[3,5,7,8,6,1,2,4]=>[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]
[3,5,1,6,8,2,7,4]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[3,1,5,6,8,2,7,4]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[2,3,5,6,8,1,7,4]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[5,6,4,8,2,1,7,3]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[5,1,6,3,8,4,7,2]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]
[2,5,1,6,8,3,7,4]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,1,2,6,8,3,7,4]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]
[5,7,1,8,6,2,3,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[1,5,2,7,8,6,3,4]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[1,6,7,5,2,8,3,4]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[6,1,7,5,2,8,3,4]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[2,6,7,5,1,8,3,4]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]
[5,7,2,8,6,1,3,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]
[3,5,7,8,6,2,1,4]=>[[[.,[.,[[.,[.,.]],.]]],.],[.,.]]
[5,1,7,8,6,3,4,2]=>[[.,.],[[[[.,[.,.]],.],[.,.]],.]]
[5,1,3,7,8,6,4,2]=>[[.,.],[[.,[[[.,[.,.]],.],.]],.]]
[5,2,7,8,4,6,1,3]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]
[3,2,5,7,8,6,1,4]=>[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]
[6,2,7,5,1,8,3,4]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[1,2,6,7,5,8,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[6,2,7,5,4,1,8,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]
[6,7,5,2,4,1,8,3]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[6,7,2,5,3,8,1,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[6,7,4,5,2,1,8,3]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[5,1,7,8,6,4,3,2]=>[[.,.],[[[[[.,[.,.]],.],.],.],.]]
[2,5,7,8,6,3,1,4]=>[[.,[[.,[[.,[.,.]],.]],.]],[.,.]]
[5,1,7,8,6,3,2,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[6,3,7,5,1,8,2,4]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[1,6,7,5,3,8,2,4]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[1,6,7,5,4,2,8,3]=>[.,[[[[.,[.,.]],.],.],[[.,.],.]]]
[6,7,5,1,4,2,8,3]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[5,7,8,6,4,1,2,3]=>[[[.,[[.,[.,.]],.]],.],[.,[.,.]]]
[4,1,7,2,6,5,8,3]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]
[2,4,7,1,5,6,8,3]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[6,7,4,1,5,2,8,3]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[1,6,7,4,5,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[1,6,3,7,5,8,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,3,1,7,5,8,2,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,5,3,7,8,6,1,4]=>[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]
[6,7,5,4,2,1,8,3]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]
[6,3,2,7,5,8,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[6,7,4,2,5,1,8,3]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[6,2,7,4,5,1,8,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[6,2,3,7,5,8,1,4]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]
[7,5,1,6,3,8,2,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,7,6,1,3,8,5,4]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]
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[8,9,2,10,11,3,4,12,1,5,6,7]=>[[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]],[.,[.,[.,.]]]]
[8,9,2,10,11,3,12,4,5,6,1,7]=>[[[.,[.,.]],[[.,[.,.]],[[.,.],[.,[.,.]]]]],[.,.]]
[8,9,2,10,11,3,12,4,5,1,6,7]=>[[[.,[.,.]],[[.,[.,.]],[[.,.],[.,.]]]],[.,[.,.]]]
[8,9,2,10,11,3,12,4,1,5,6,7]=>[[[.,[.,.]],[[.,[.,.]],[[.,.],.]]],[.,[.,[.,.]]]]
[8,9,2,10,11,3,12,1,4,5,6,7]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],[.,[.,[.,[.,.]]]]]
[8,9,2,10,11,12,3,4,5,6,1,7]=>[[[.,[.,.]],[[.,[.,[.,.]]],[.,[.,[.,.]]]]],[.,.]]
[8,9,2,10,11,12,3,4,5,1,6,7]=>[[[.,[.,.]],[[.,[.,[.,.]]],[.,[.,.]]]],[.,[.,.]]]
[8,9,2,10,11,12,3,4,1,5,6,7]=>[[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]],[.,[.,[.,.]]]]
[8,9,2,10,11,12,3,1,4,5,6,7]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],[.,[.,[.,[.,.]]]]]
[8,9,2,10,11,12,1,3,4,5,6,7]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]
[8,9,10,2,3,4,11,5,12,6,1,7]=>[[[.,[.,[.,.]]],[.,[.,[[.,.],[[.,.],.]]]]],[.,.]]
[8,9,10,2,3,4,11,5,12,1,6,7]=>[[[.,[.,[.,.]]],[.,[.,[[.,.],[.,.]]]]],[.,[.,.]]]
[8,9,10,2,3,4,11,12,5,6,1,7]=>[[[.,[.,[.,.]]],[.,[.,[[.,[.,.]],[.,.]]]]],[.,.]]
[8,9,10,2,3,4,11,12,5,1,6,7]=>[[[.,[.,[.,.]]],[.,[.,[[.,[.,.]],.]]]],[.,[.,.]]]
[8,9,10,2,3,4,11,12,1,5,6,7]=>[[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]
[8,9,10,2,3,11,4,5,12,6,1,7]=>[[[.,[.,[.,.]]],[.,[[.,.],[.,[[.,.],.]]]]],[.,.]]
[8,9,10,2,3,11,4,5,12,1,6,7]=>[[[.,[.,[.,.]]],[.,[[.,.],[.,[.,.]]]]],[.,[.,.]]]
[8,9,10,2,3,11,4,12,5,6,1,7]=>[[[.,[.,[.,.]]],[.,[[.,.],[[.,.],[.,.]]]]],[.,.]]
[8,9,10,2,3,11,4,12,5,1,6,7]=>[[[.,[.,[.,.]]],[.,[[.,.],[[.,.],.]]]],[.,[.,.]]]
[8,9,10,2,3,11,4,12,1,5,6,7]=>[[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]],[.,[.,[.,.]]]]
[8,9,10,2,3,11,12,4,5,6,1,7]=>[[[.,[.,[.,.]]],[.,[[.,[.,.]],[.,[.,.]]]]],[.,.]]
[8,9,10,2,3,11,12,4,5,1,6,7]=>[[[.,[.,[.,.]]],[.,[[.,[.,.]],[.,.]]]],[.,[.,.]]]
[8,9,10,2,3,11,12,4,1,5,6,7]=>[[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]],[.,[.,[.,.]]]]
[8,9,10,2,3,11,12,1,4,5,6,7]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]
[8,9,10,2,11,3,4,5,12,6,1,7]=>[[[.,[.,[.,.]]],[[.,.],[.,[.,[[.,.],.]]]]],[.,.]]
[8,9,10,2,11,3,4,5,12,1,6,7]=>[[[.,[.,[.,.]]],[[.,.],[.,[.,[.,.]]]]],[.,[.,.]]]
[8,9,10,2,11,3,4,12,5,6,1,7]=>[[[.,[.,[.,.]]],[[.,.],[.,[[.,.],[.,.]]]]],[.,.]]
[8,9,10,2,11,3,4,12,5,1,6,7]=>[[[.,[.,[.,.]]],[[.,.],[.,[[.,.],.]]]],[.,[.,.]]]
[8,9,10,2,11,3,4,12,1,5,6,7]=>[[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]],[.,[.,[.,.]]]]
[8,9,10,2,11,3,12,4,5,6,1,7]=>[[[.,[.,[.,.]]],[[.,.],[[.,.],[.,[.,.]]]]],[.,.]]
[8,9,10,2,11,3,12,4,5,1,6,7]=>[[[.,[.,[.,.]]],[[.,.],[[.,.],[.,.]]]],[.,[.,.]]]
[8,9,10,2,11,3,12,4,1,5,6,7]=>[[[.,[.,[.,.]]],[[.,.],[[.,.],.]]],[.,[.,[.,.]]]]
[8,9,10,2,11,3,12,1,4,5,6,7]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],[.,[.,[.,[.,.]]]]]
[8,9,10,2,11,12,3,4,5,6,1,7]=>[[[.,[.,[.,.]]],[[.,[.,.]],[.,[.,[.,.]]]]],[.,.]]
[8,9,10,2,11,12,3,4,5,1,6,7]=>[[[.,[.,[.,.]]],[[.,[.,.]],[.,[.,.]]]],[.,[.,.]]]
[8,9,10,2,11,12,3,4,1,5,6,7]=>[[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]],[.,[.,[.,.]]]]
[8,9,10,2,11,12,3,1,4,5,6,7]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],[.,[.,[.,[.,.]]]]]
[8,9,10,2,11,12,1,3,4,5,6,7]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]
[8,9,10,11,2,3,4,5,12,6,1,7]=>[[[.,[.,[.,[.,.]]]],[.,[.,[.,[[.,.],.]]]]],[.,.]]
[8,9,10,11,2,3,4,5,12,1,6,7]=>[[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[8,9,10,11,2,3,4,12,5,6,1,7]=>[[[.,[.,[.,[.,.]]]],[.,[.,[[.,.],[.,.]]]]],[.,.]]
[8,9,10,11,2,3,4,12,5,1,6,7]=>[[[.,[.,[.,[.,.]]]],[.,[.,[[.,.],.]]]],[.,[.,.]]]
[8,9,10,11,2,3,4,12,1,5,6,7]=>[[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[8,9,10,11,2,3,12,4,5,6,1,7]=>[[[.,[.,[.,[.,.]]]],[.,[[.,.],[.,[.,.]]]]],[.,.]]
[8,9,10,11,2,3,12,4,5,1,6,7]=>[[[.,[.,[.,[.,.]]]],[.,[[.,.],[.,.]]]],[.,[.,.]]]
[8,9,10,11,2,3,12,4,1,5,6,7]=>[[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]],[.,[.,[.,.]]]]
[8,9,10,11,2,3,12,1,4,5,6,7]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[8,9,10,11,2,12,3,4,5,6,1,7]=>[[[.,[.,[.,[.,.]]]],[[.,.],[.,[.,[.,.]]]]],[.,.]]
[8,9,10,11,2,12,3,4,5,1,6,7]=>[[[.,[.,[.,[.,.]]]],[[.,.],[.,[.,.]]]],[.,[.,.]]]
[8,9,10,11,2,12,3,4,1,5,6,7]=>[[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]],[.,[.,[.,.]]]]
[8,9,10,11,2,12,3,1,4,5,6,7]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],[.,[.,[.,[.,.]]]]]
[8,9,10,11,2,12,1,3,4,5,6,7]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[8,9,10,11,12,2,3,4,5,6,1,7]=>[[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]],[.,.]]
[8,9,10,11,12,2,3,4,5,1,6,7]=>[[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]],[.,[.,.]]]
[8,9,10,11,12,2,3,4,1,5,6,7]=>[[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]],[.,[.,[.,.]]]]
[8,9,10,11,12,2,3,1,4,5,6,7]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],[.,[.,[.,[.,.]]]]]
[8,9,10,11,12,2,1,3,4,5,6,7]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,[.,[.,[.,[.,.]]]]]]
[11,2,3,4,5,6,7,8,9,10,12,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]
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(only identities of compositions of up to three maps are shown)
Description
Sends a permutation to its associated increasing tree.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.
Properties
surjective, graded
Sage code
def mapping(sigma): return sigma.increasing_tree_shape()
Weight
26
Created
Jan 26, 2020 at 12:32 by FindStatCrew
Updated
Jan 26, 2020 at 12:32 by Martin Rubey
searching the database
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