Identifier
Mp00252:
Permutations
—restriction⟶
Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Mp00016: Binary trees —left-right symmetry⟶ Binary trees
Mp00061: Permutations —to increasing tree⟶ Binary trees
Mp00016: Binary trees —left-right symmetry⟶ Binary trees
Images
=>
Cc0010;cc-rep-2Cc0010;cc-rep-3
[1,2]=>[1]=>[.,.]=>[.,.]
[2,1]=>[1]=>[.,.]=>[.,.]
[1,2,3]=>[1,2]=>[.,[.,.]]=>[[.,.],.]
[1,3,2]=>[1,2]=>[.,[.,.]]=>[[.,.],.]
[2,1,3]=>[2,1]=>[[.,.],.]=>[.,[.,.]]
[2,3,1]=>[2,1]=>[[.,.],.]=>[.,[.,.]]
[3,1,2]=>[1,2]=>[.,[.,.]]=>[[.,.],.]
[3,2,1]=>[2,1]=>[[.,.],.]=>[.,[.,.]]
[1,2,3,4]=>[1,2,3]=>[.,[.,[.,.]]]=>[[[.,.],.],.]
[1,2,4,3]=>[1,2,3]=>[.,[.,[.,.]]]=>[[[.,.],.],.]
[1,3,2,4]=>[1,3,2]=>[.,[[.,.],.]]=>[[.,[.,.]],.]
[1,3,4,2]=>[1,3,2]=>[.,[[.,.],.]]=>[[.,[.,.]],.]
[1,4,2,3]=>[1,2,3]=>[.,[.,[.,.]]]=>[[[.,.],.],.]
[1,4,3,2]=>[1,3,2]=>[.,[[.,.],.]]=>[[.,[.,.]],.]
[2,1,3,4]=>[2,1,3]=>[[.,.],[.,.]]=>[[.,.],[.,.]]
[2,1,4,3]=>[2,1,3]=>[[.,.],[.,.]]=>[[.,.],[.,.]]
[2,3,1,4]=>[2,3,1]=>[[.,[.,.]],.]=>[.,[[.,.],.]]
[2,3,4,1]=>[2,3,1]=>[[.,[.,.]],.]=>[.,[[.,.],.]]
[2,4,1,3]=>[2,1,3]=>[[.,.],[.,.]]=>[[.,.],[.,.]]
[2,4,3,1]=>[2,3,1]=>[[.,[.,.]],.]=>[.,[[.,.],.]]
[3,1,2,4]=>[3,1,2]=>[[.,.],[.,.]]=>[[.,.],[.,.]]
[3,1,4,2]=>[3,1,2]=>[[.,.],[.,.]]=>[[.,.],[.,.]]
[3,2,1,4]=>[3,2,1]=>[[[.,.],.],.]=>[.,[.,[.,.]]]
[3,2,4,1]=>[3,2,1]=>[[[.,.],.],.]=>[.,[.,[.,.]]]
[3,4,1,2]=>[3,1,2]=>[[.,.],[.,.]]=>[[.,.],[.,.]]
[3,4,2,1]=>[3,2,1]=>[[[.,.],.],.]=>[.,[.,[.,.]]]
[4,1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]=>[[[.,.],.],.]
[4,1,3,2]=>[1,3,2]=>[.,[[.,.],.]]=>[[.,[.,.]],.]
[4,2,1,3]=>[2,1,3]=>[[.,.],[.,.]]=>[[.,.],[.,.]]
[4,2,3,1]=>[2,3,1]=>[[.,[.,.]],.]=>[.,[[.,.],.]]
[4,3,1,2]=>[3,1,2]=>[[.,.],[.,.]]=>[[.,.],[.,.]]
[4,3,2,1]=>[3,2,1]=>[[[.,.],.],.]=>[.,[.,[.,.]]]
[1,2,3,4,5]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[[[.,.],.],.],.]
[1,2,3,5,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[[[.,.],.],.],.]
[1,2,4,3,5]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>[[[.,[.,.]],.],.]
[1,2,4,5,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>[[[.,[.,.]],.],.]
[1,2,5,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[[[.,.],.],.],.]
[1,2,5,4,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>[[[.,[.,.]],.],.]
[1,3,2,4,5]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[1,3,2,5,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[1,3,4,2,5]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]=>[[.,[[.,.],.]],.]
[1,3,4,5,2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]=>[[.,[[.,.],.]],.]
[1,3,5,2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[1,3,5,4,2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]=>[[.,[[.,.],.]],.]
[1,4,2,3,5]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[1,4,2,5,3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[1,4,3,2,5]=>[1,4,3,2]=>[.,[[[.,.],.],.]]=>[[.,[.,[.,.]]],.]
[1,4,3,5,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]=>[[.,[.,[.,.]]],.]
[1,4,5,2,3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[1,4,5,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]=>[[.,[.,[.,.]]],.]
[1,5,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[[[.,.],.],.],.]
[1,5,2,4,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>[[[.,[.,.]],.],.]
[1,5,3,2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[1,5,3,4,2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]=>[[.,[[.,.],.]],.]
[1,5,4,2,3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[1,5,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]=>[[.,[.,[.,.]]],.]
[2,1,3,4,5]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]=>[[[.,.],.],[.,.]]
[2,1,3,5,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]=>[[[.,.],.],[.,.]]
[2,1,4,3,5]=>[2,1,4,3]=>[[.,.],[[.,.],.]]=>[[.,[.,.]],[.,.]]
[2,1,4,5,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]=>[[.,[.,.]],[.,.]]
[2,1,5,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]=>[[[.,.],.],[.,.]]
[2,1,5,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]=>[[.,[.,.]],[.,.]]
[2,3,1,4,5]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]=>[[.,.],[[.,.],.]]
[2,3,1,5,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]=>[[.,.],[[.,.],.]]
[2,3,4,1,5]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]=>[.,[[[.,.],.],.]]
[2,3,4,5,1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]=>[.,[[[.,.],.],.]]
[2,3,5,1,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]=>[[.,.],[[.,.],.]]
[2,3,5,4,1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]=>[.,[[[.,.],.],.]]
[2,4,1,3,5]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]=>[[.,.],[[.,.],.]]
[2,4,1,5,3]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]=>[[.,.],[[.,.],.]]
[2,4,3,1,5]=>[2,4,3,1]=>[[.,[[.,.],.]],.]=>[.,[[.,[.,.]],.]]
[2,4,3,5,1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]=>[.,[[.,[.,.]],.]]
[2,4,5,1,3]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]=>[[.,.],[[.,.],.]]
[2,4,5,3,1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]=>[.,[[.,[.,.]],.]]
[2,5,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]=>[[[.,.],.],[.,.]]
[2,5,1,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]=>[[.,[.,.]],[.,.]]
[2,5,3,1,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]=>[[.,.],[[.,.],.]]
[2,5,3,4,1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]=>[.,[[[.,.],.],.]]
[2,5,4,1,3]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]=>[[.,.],[[.,.],.]]
[2,5,4,3,1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]=>[.,[[.,[.,.]],.]]
[3,1,2,4,5]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]=>[[[.,.],.],[.,.]]
[3,1,2,5,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]=>[[[.,.],.],[.,.]]
[3,1,4,2,5]=>[3,1,4,2]=>[[.,.],[[.,.],.]]=>[[.,[.,.]],[.,.]]
[3,1,4,5,2]=>[3,1,4,2]=>[[.,.],[[.,.],.]]=>[[.,[.,.]],[.,.]]
[3,1,5,2,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]=>[[[.,.],.],[.,.]]
[3,1,5,4,2]=>[3,1,4,2]=>[[.,.],[[.,.],.]]=>[[.,[.,.]],[.,.]]
[3,2,1,4,5]=>[3,2,1,4]=>[[[.,.],.],[.,.]]=>[[.,.],[.,[.,.]]]
[3,2,1,5,4]=>[3,2,1,4]=>[[[.,.],.],[.,.]]=>[[.,.],[.,[.,.]]]
[3,2,4,1,5]=>[3,2,4,1]=>[[[.,.],[.,.]],.]=>[.,[[.,.],[.,.]]]
[3,2,4,5,1]=>[3,2,4,1]=>[[[.,.],[.,.]],.]=>[.,[[.,.],[.,.]]]
[3,2,5,1,4]=>[3,2,1,4]=>[[[.,.],.],[.,.]]=>[[.,.],[.,[.,.]]]
[3,2,5,4,1]=>[3,2,4,1]=>[[[.,.],[.,.]],.]=>[.,[[.,.],[.,.]]]
[3,4,1,2,5]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]=>[[.,.],[[.,.],.]]
[3,4,1,5,2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]=>[[.,.],[[.,.],.]]
[3,4,2,1,5]=>[3,4,2,1]=>[[[.,[.,.]],.],.]=>[.,[.,[[.,.],.]]]
[3,4,2,5,1]=>[3,4,2,1]=>[[[.,[.,.]],.],.]=>[.,[.,[[.,.],.]]]
[3,4,5,1,2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]=>[[.,.],[[.,.],.]]
[3,4,5,2,1]=>[3,4,2,1]=>[[[.,[.,.]],.],.]=>[.,[.,[[.,.],.]]]
[3,5,1,2,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]=>[[[.,.],.],[.,.]]
[3,5,1,4,2]=>[3,1,4,2]=>[[.,.],[[.,.],.]]=>[[.,[.,.]],[.,.]]
[3,5,2,1,4]=>[3,2,1,4]=>[[[.,.],.],[.,.]]=>[[.,.],[.,[.,.]]]
[3,5,2,4,1]=>[3,2,4,1]=>[[[.,.],[.,.]],.]=>[.,[[.,.],[.,.]]]
[3,5,4,1,2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]=>[[.,.],[[.,.],.]]
[3,5,4,2,1]=>[3,4,2,1]=>[[[.,[.,.]],.],.]=>[.,[.,[[.,.],.]]]
[4,1,2,3,5]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]=>[[[.,.],.],[.,.]]
[4,1,2,5,3]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]=>[[[.,.],.],[.,.]]
[4,1,3,2,5]=>[4,1,3,2]=>[[.,.],[[.,.],.]]=>[[.,[.,.]],[.,.]]
[4,1,3,5,2]=>[4,1,3,2]=>[[.,.],[[.,.],.]]=>[[.,[.,.]],[.,.]]
[4,1,5,2,3]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]=>[[[.,.],.],[.,.]]
[4,1,5,3,2]=>[4,1,3,2]=>[[.,.],[[.,.],.]]=>[[.,[.,.]],[.,.]]
[4,2,1,3,5]=>[4,2,1,3]=>[[[.,.],.],[.,.]]=>[[.,.],[.,[.,.]]]
[4,2,1,5,3]=>[4,2,1,3]=>[[[.,.],.],[.,.]]=>[[.,.],[.,[.,.]]]
[4,2,3,1,5]=>[4,2,3,1]=>[[[.,.],[.,.]],.]=>[.,[[.,.],[.,.]]]
[4,2,3,5,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]=>[.,[[.,.],[.,.]]]
[4,2,5,1,3]=>[4,2,1,3]=>[[[.,.],.],[.,.]]=>[[.,.],[.,[.,.]]]
[4,2,5,3,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]=>[.,[[.,.],[.,.]]]
[4,3,1,2,5]=>[4,3,1,2]=>[[[.,.],.],[.,.]]=>[[.,.],[.,[.,.]]]
[4,3,1,5,2]=>[4,3,1,2]=>[[[.,.],.],[.,.]]=>[[.,.],[.,[.,.]]]
[4,3,2,1,5]=>[4,3,2,1]=>[[[[.,.],.],.],.]=>[.,[.,[.,[.,.]]]]
[4,3,2,5,1]=>[4,3,2,1]=>[[[[.,.],.],.],.]=>[.,[.,[.,[.,.]]]]
[4,3,5,1,2]=>[4,3,1,2]=>[[[.,.],.],[.,.]]=>[[.,.],[.,[.,.]]]
[4,3,5,2,1]=>[4,3,2,1]=>[[[[.,.],.],.],.]=>[.,[.,[.,[.,.]]]]
[4,5,1,2,3]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]=>[[[.,.],.],[.,.]]
[4,5,1,3,2]=>[4,1,3,2]=>[[.,.],[[.,.],.]]=>[[.,[.,.]],[.,.]]
[4,5,2,1,3]=>[4,2,1,3]=>[[[.,.],.],[.,.]]=>[[.,.],[.,[.,.]]]
[4,5,2,3,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]=>[.,[[.,.],[.,.]]]
[4,5,3,1,2]=>[4,3,1,2]=>[[[.,.],.],[.,.]]=>[[.,.],[.,[.,.]]]
[4,5,3,2,1]=>[4,3,2,1]=>[[[[.,.],.],.],.]=>[.,[.,[.,[.,.]]]]
[5,1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[[[[.,.],.],.],.]
[5,1,2,4,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]=>[[[.,[.,.]],.],.]
[5,1,3,2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[5,1,3,4,2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]=>[[.,[[.,.],.]],.]
[5,1,4,2,3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]=>[[[.,.],[.,.]],.]
[5,1,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]=>[[.,[.,[.,.]]],.]
[5,2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]=>[[[.,.],.],[.,.]]
[5,2,1,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]=>[[.,[.,.]],[.,.]]
[5,2,3,1,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]=>[[.,.],[[.,.],.]]
[5,2,3,4,1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]=>[.,[[[.,.],.],.]]
[5,2,4,1,3]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]=>[[.,.],[[.,.],.]]
[5,2,4,3,1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]=>[.,[[.,[.,.]],.]]
[5,3,1,2,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]=>[[[.,.],.],[.,.]]
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[5,3,2,1,4]=>[3,2,1,4]=>[[[.,.],.],[.,.]]=>[[.,.],[.,[.,.]]]
[5,3,2,4,1]=>[3,2,4,1]=>[[[.,.],[.,.]],.]=>[.,[[.,.],[.,.]]]
[5,3,4,1,2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]=>[[.,.],[[.,.],.]]
[5,3,4,2,1]=>[3,4,2,1]=>[[[.,[.,.]],.],.]=>[.,[.,[[.,.],.]]]
[5,4,1,2,3]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]=>[[[.,.],.],[.,.]]
[5,4,1,3,2]=>[4,1,3,2]=>[[.,.],[[.,.],.]]=>[[.,[.,.]],[.,.]]
[5,4,2,1,3]=>[4,2,1,3]=>[[[.,.],.],[.,.]]=>[[.,.],[.,[.,.]]]
[5,4,2,3,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]=>[.,[[.,.],[.,.]]]
[5,4,3,1,2]=>[4,3,1,2]=>[[[.,.],.],[.,.]]=>[[.,.],[.,[.,.]]]
[5,4,3,2,1]=>[4,3,2,1]=>[[[[.,.],.],.],.]=>[.,[.,[.,[.,.]]]]
[1,2,3,4,5,6]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[[[[.,.],.],.],.],.]
[1,2,3,4,6,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[[[[.,.],.],.],.],.]
[1,2,3,5,4,6]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]=>[[[[.,[.,.]],.],.],.]
[1,2,3,5,6,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]=>[[[[.,[.,.]],.],.],.]
[1,2,3,6,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[[[[.,.],.],.],.],.]
[1,2,3,6,5,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]=>[[[[.,[.,.]],.],.],.]
[1,2,4,3,5,6]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],.],.]
[1,2,4,3,6,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],.],.]
[1,2,4,5,3,6]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],.],.]
[1,2,4,5,6,3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],.],.]
[1,2,4,6,3,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],.],.]
[1,2,4,6,5,3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],.],.]
[1,2,5,3,4,6]=>[1,2,5,3,4]=>[.,[.,[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],.],.]
[1,2,5,3,6,4]=>[1,2,5,3,4]=>[.,[.,[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],.],.]
[1,2,5,4,3,6]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],.],.]
[1,2,5,4,6,3]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],.],.]
[1,2,5,6,3,4]=>[1,2,5,3,4]=>[.,[.,[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],.],.]
[1,2,5,6,4,3]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],.],.]
[1,2,6,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[[[[[.,.],.],.],.],.]
[1,2,6,3,5,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]=>[[[[.,[.,.]],.],.],.]
[1,2,6,4,3,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],.],.]
[1,2,6,4,5,3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],.],.]
[1,2,6,5,3,4]=>[1,2,5,3,4]=>[.,[.,[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],.],.]
[1,2,6,5,4,3]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],.],.]
[1,3,2,4,5,6]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],.]
[1,3,2,4,6,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],.]
[1,3,2,5,4,6]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]=>[[[.,[.,.]],[.,.]],.]
[1,3,2,5,6,4]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]=>[[[.,[.,.]],[.,.]],.]
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[2,4,5,3,1,6]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]=>[.,[[.,[[.,.],.]],.]]
[2,4,5,3,6,1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]=>[.,[[.,[[.,.],.]],.]]
[2,4,5,6,1,3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],.]]
[2,4,5,6,3,1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]=>[.,[[.,[[.,.],.]],.]]
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[2,6,1,4,5,3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,.]]
[2,6,1,5,3,4]=>[2,1,5,3,4]=>[[.,.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,.]]
[2,6,1,5,4,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,.]]
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[2,6,3,1,5,4]=>[2,3,1,5,4]=>[[.,[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],.]]
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[3,1,6,5,4,2]=>[3,1,5,4,2]=>[[.,.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,.]]
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[3,2,1,5,4,6]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,.]]]
[3,2,1,5,6,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,.]]]
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[3,2,4,1,5,6]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,.]]]
[3,2,4,1,6,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,.]]]
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[3,2,4,6,5,1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]=>[.,[[[.,.],.],[.,.]]]
[3,2,5,1,4,6]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,.]]]
[3,2,5,1,6,4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,.]]]
[3,2,5,4,1,6]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,.]]]
[3,2,5,4,6,1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,.]]]
[3,2,5,6,1,4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,.]]]
[3,2,5,6,4,1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,.]]]
[3,2,6,1,4,5]=>[3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,.]]]
[3,2,6,1,5,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,.]]]
[3,2,6,4,1,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,.]]]
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[3,2,6,5,4,1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,.]]]
[3,4,1,2,5,6]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],.]]
[3,4,1,2,6,5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],.]]
[3,4,1,5,2,6]=>[3,4,1,5,2]=>[[.,[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],.]]
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[3,4,1,6,2,5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],.]]
[3,4,1,6,5,2]=>[3,4,1,5,2]=>[[.,[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],.]]
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[3,4,2,5,1,6]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],.]]]
[3,4,2,5,6,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],.]]]
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[3,4,2,6,5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],.]]]
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[3,4,5,1,6,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],.]]
[3,4,5,2,1,6]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]=>[.,[.,[[[.,.],.],.]]]
[3,4,5,2,6,1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]=>[.,[.,[[[.,.],.],.]]]
[3,4,5,6,1,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],.]]
[3,4,5,6,2,1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]=>[.,[.,[[[.,.],.],.]]]
[3,4,6,1,2,5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],.]]
[3,4,6,1,5,2]=>[3,4,1,5,2]=>[[.,[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],.]]
[3,4,6,2,1,5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],.]]]
[3,4,6,2,5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],.]]]
[3,4,6,5,1,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],.]]
[3,4,6,5,2,1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]=>[.,[.,[[[.,.],.],.]]]
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[3,5,1,2,6,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],.]]
[3,5,1,4,2,6]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],.]]
[3,5,1,4,6,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],.]]
[3,5,1,6,2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],.]]
[3,5,1,6,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],.]]
[3,5,2,1,4,6]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],.]]]
[3,5,2,1,6,4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],.]]]
[3,5,2,4,1,6]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],.]]]
[3,5,2,4,6,1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],.]]]
[3,5,2,6,1,4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],.]]]
[3,5,2,6,4,1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],.]]]
[3,5,4,1,2,6]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],.]]
[3,5,4,1,6,2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],.]]
[3,5,4,2,1,6]=>[3,5,4,2,1]=>[[[.,[[.,.],.]],.],.]=>[.,[.,[[.,[.,.]],.]]]
[3,5,4,2,6,1]=>[3,5,4,2,1]=>[[[.,[[.,.],.]],.],.]=>[.,[.,[[.,[.,.]],.]]]
[3,5,4,6,1,2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],.]]
[3,5,4,6,2,1]=>[3,5,4,2,1]=>[[[.,[[.,.],.]],.],.]=>[.,[.,[[.,[.,.]],.]]]
[3,5,6,1,2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],.]]
[3,5,6,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],.]]
[3,5,6,2,1,4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],.]]]
[3,5,6,2,4,1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],.]]]
[3,5,6,4,1,2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],.]]
[3,5,6,4,2,1]=>[3,5,4,2,1]=>[[[.,[[.,.],.]],.],.]=>[.,[.,[[.,[.,.]],.]]]
[3,6,1,2,4,5]=>[3,1,2,4,5]=>[[.,.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,.]]
[3,6,1,2,5,4]=>[3,1,2,5,4]=>[[.,.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,.]]
[3,6,1,4,2,5]=>[3,1,4,2,5]=>[[.,.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,.]]
[3,6,1,4,5,2]=>[3,1,4,5,2]=>[[.,.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,.]]
[3,6,1,5,2,4]=>[3,1,5,2,4]=>[[.,.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,.]]
[3,6,1,5,4,2]=>[3,1,5,4,2]=>[[.,.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,.]]
[3,6,2,1,4,5]=>[3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,.]]]
[3,6,2,1,5,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,.]]]
[3,6,2,4,1,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,.]]]
[3,6,2,4,5,1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]=>[.,[[[.,.],.],[.,.]]]
[3,6,2,5,1,4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,.]]]
[3,6,2,5,4,1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,.]]]
[3,6,4,1,2,5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],.]]
[3,6,4,1,5,2]=>[3,4,1,5,2]=>[[.,[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],.]]
[3,6,4,2,1,5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],.]]]
[3,6,4,2,5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],.]]]
[3,6,4,5,1,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],.]]
[3,6,4,5,2,1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]=>[.,[.,[[[.,.],.],.]]]
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[3,6,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],.]]
[3,6,5,2,1,4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],.]]]
[3,6,5,2,4,1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],.]]]
[3,6,5,4,1,2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],.]]
[3,6,5,4,2,1]=>[3,5,4,2,1]=>[[[.,[[.,.],.]],.],.]=>[.,[.,[[.,[.,.]],.]]]
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[4,1,2,5,3,6]=>[4,1,2,5,3]=>[[.,.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,.]]
[4,1,2,5,6,3]=>[4,1,2,5,3]=>[[.,.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,.]]
[4,1,2,6,3,5]=>[4,1,2,3,5]=>[[.,.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,.]]
[4,1,2,6,5,3]=>[4,1,2,5,3]=>[[.,.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,.]]
[4,1,3,2,5,6]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,.]]
[4,1,3,2,6,5]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,.]]
[4,1,3,5,2,6]=>[4,1,3,5,2]=>[[.,.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,.]]
[4,1,3,5,6,2]=>[4,1,3,5,2]=>[[.,.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,.]]
[4,1,3,6,2,5]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,.]]
[4,1,3,6,5,2]=>[4,1,3,5,2]=>[[.,.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,.]]
[4,1,5,2,3,6]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,.]]
[4,1,5,2,6,3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,.]]
[4,1,5,3,2,6]=>[4,1,5,3,2]=>[[.,.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,.]]
[4,1,5,3,6,2]=>[4,1,5,3,2]=>[[.,.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,.]]
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[4,1,6,3,2,5]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,.]]
[4,1,6,3,5,2]=>[4,1,3,5,2]=>[[.,.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,.]]
[4,1,6,5,2,3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,.]]
[4,1,6,5,3,2]=>[4,1,5,3,2]=>[[.,.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,.]]
[4,2,1,3,5,6]=>[4,2,1,3,5]=>[[[.,.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,.]]]
[4,2,1,3,6,5]=>[4,2,1,3,5]=>[[[.,.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,.]]]
[4,2,1,5,3,6]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,.]]]
[4,2,1,5,6,3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,.]]]
[4,2,1,6,3,5]=>[4,2,1,3,5]=>[[[.,.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,.]]]
[4,2,1,6,5,3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,.]]]
[4,2,3,1,5,6]=>[4,2,3,1,5]=>[[[.,.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,.]]]
[4,2,3,1,6,5]=>[4,2,3,1,5]=>[[[.,.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,.]]]
[4,2,3,5,1,6]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]=>[.,[[[.,.],.],[.,.]]]
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[4,2,3,6,5,1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]=>[.,[[[.,.],.],[.,.]]]
[4,2,5,1,3,6]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,.]]]
[4,2,5,1,6,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,.]]]
[4,2,5,3,1,6]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,.]]]
[4,2,5,3,6,1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,.]]]
[4,2,5,6,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,.]]]
[4,2,5,6,3,1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,.]]]
[4,2,6,1,3,5]=>[4,2,1,3,5]=>[[[.,.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,.]]]
[4,2,6,1,5,3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,.]]]
[4,2,6,3,1,5]=>[4,2,3,1,5]=>[[[.,.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,.]]]
[4,2,6,3,5,1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]=>[.,[[[.,.],.],[.,.]]]
[4,2,6,5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,.]]]
[4,2,6,5,3,1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,.]]]
[4,3,1,2,5,6]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,.]]]
[4,3,1,2,6,5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,.]]]
[4,3,1,5,2,6]=>[4,3,1,5,2]=>[[[.,.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,.]]]
[4,3,1,5,6,2]=>[4,3,1,5,2]=>[[[.,.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,.]]]
[4,3,1,6,2,5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,.]]]
[4,3,1,6,5,2]=>[4,3,1,5,2]=>[[[.,.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,.]]]
[4,3,2,1,5,6]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]=>[[.,.],[.,[.,[.,.]]]]
[4,3,2,1,6,5]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]=>[[.,.],[.,[.,[.,.]]]]
[4,3,2,5,1,6]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]=>[.,[[.,.],[.,[.,.]]]]
[4,3,2,5,6,1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]=>[.,[[.,.],[.,[.,.]]]]
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[4,3,2,6,5,1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]=>[.,[[.,.],[.,[.,.]]]]
[4,3,5,1,2,6]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,.]]]
[4,3,5,1,6,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,.]]]
[4,3,5,2,1,6]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]=>[.,[.,[[.,.],[.,.]]]]
[4,3,5,2,6,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]=>[.,[.,[[.,.],[.,.]]]]
[4,3,5,6,1,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,.]]]
[4,3,5,6,2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]=>[.,[.,[[.,.],[.,.]]]]
[4,3,6,1,2,5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,.]]]
[4,3,6,1,5,2]=>[4,3,1,5,2]=>[[[.,.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,.]]]
[4,3,6,2,1,5]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]=>[[.,.],[.,[.,[.,.]]]]
[4,3,6,2,5,1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]=>[.,[[.,.],[.,[.,.]]]]
[4,3,6,5,1,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,.]]]
[4,3,6,5,2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]=>[.,[.,[[.,.],[.,.]]]]
[4,5,1,2,3,6]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],.]]
[4,5,1,2,6,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],.]]
[4,5,1,3,2,6]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],.]]
[4,5,1,3,6,2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],.]]
[4,5,1,6,2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],.]]
[4,5,1,6,3,2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],.]]
[4,5,2,1,3,6]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],.]]]
[4,5,2,1,6,3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],.]]]
[4,5,2,3,1,6]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],.]]]
[4,5,2,3,6,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],.]]]
[4,5,2,6,1,3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],.]]]
[4,5,2,6,3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],.]]]
[4,5,3,1,2,6]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],.]]]
[4,5,3,1,6,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],.]]]
[4,5,3,2,1,6]=>[4,5,3,2,1]=>[[[[.,[.,.]],.],.],.]=>[.,[.,[.,[[.,.],.]]]]
[4,5,3,2,6,1]=>[4,5,3,2,1]=>[[[[.,[.,.]],.],.],.]=>[.,[.,[.,[[.,.],.]]]]
[4,5,3,6,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],.]]]
[4,5,3,6,2,1]=>[4,5,3,2,1]=>[[[[.,[.,.]],.],.],.]=>[.,[.,[.,[[.,.],.]]]]
[4,5,6,1,2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],.]]
[4,5,6,1,3,2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],.]]
[4,5,6,2,1,3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],.]]]
[4,5,6,2,3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],.]]]
[4,5,6,3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],.]]]
[4,5,6,3,2,1]=>[4,5,3,2,1]=>[[[[.,[.,.]],.],.],.]=>[.,[.,[.,[[.,.],.]]]]
[4,6,1,2,3,5]=>[4,1,2,3,5]=>[[.,.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,.]]
[4,6,1,2,5,3]=>[4,1,2,5,3]=>[[.,.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,.]]
[4,6,1,3,2,5]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,.]]
[4,6,1,3,5,2]=>[4,1,3,5,2]=>[[.,.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,.]]
[4,6,1,5,2,3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,.]]
[4,6,1,5,3,2]=>[4,1,5,3,2]=>[[.,.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,.]]
[4,6,2,1,3,5]=>[4,2,1,3,5]=>[[[.,.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,.]]]
[4,6,2,1,5,3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,.]]]
[4,6,2,3,1,5]=>[4,2,3,1,5]=>[[[.,.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,.]]]
[4,6,2,3,5,1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]=>[.,[[[.,.],.],[.,.]]]
[4,6,2,5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,.]]]
[4,6,2,5,3,1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,.]]]
[4,6,3,1,2,5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,.]]]
[4,6,3,1,5,2]=>[4,3,1,5,2]=>[[[.,.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,.]]]
[4,6,3,2,1,5]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]=>[[.,.],[.,[.,[.,.]]]]
[4,6,3,2,5,1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]=>[.,[[.,.],[.,[.,.]]]]
[4,6,3,5,1,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,.]]]
[4,6,3,5,2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]=>[.,[.,[[.,.],[.,.]]]]
[4,6,5,1,2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],.]]
[4,6,5,1,3,2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],.]]
[4,6,5,2,1,3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],.]]]
[4,6,5,2,3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],.]]]
[4,6,5,3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],.]]]
[4,6,5,3,2,1]=>[4,5,3,2,1]=>[[[[.,[.,.]],.],.],.]=>[.,[.,[.,[[.,.],.]]]]
[5,1,2,3,4,6]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,.]]
[5,1,2,3,6,4]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,.]]
[5,1,2,4,3,6]=>[5,1,2,4,3]=>[[.,.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,.]]
[5,1,2,4,6,3]=>[5,1,2,4,3]=>[[.,.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,.]]
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[3,7,2,1,5,6,4]=>[3,2,1,5,6,4]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
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[4,1,7,6,3,5,2]=>[4,1,6,3,5,2]=>[[.,.],[[[.,.],[.,.]],.]]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,1,7,6,5,2,3]=>[4,1,6,5,2,3]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]=>[[.,[.,[.,[.,.]]]],[.,.]]
[4,2,1,3,5,6,7]=>[4,2,1,3,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[4,2,1,3,5,7,6]=>[4,2,1,3,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[4,2,1,3,6,5,7]=>[4,2,1,3,6,5]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[4,2,1,3,6,7,5]=>[4,2,1,3,6,5]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[4,2,1,3,7,5,6]=>[4,2,1,3,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[4,2,1,3,7,6,5]=>[4,2,1,3,6,5]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[4,2,1,5,3,6,7]=>[4,2,1,5,3,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,2,1,5,3,7,6]=>[4,2,1,5,3,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,2,1,5,6,3,7]=>[4,2,1,5,6,3]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[4,2,1,5,6,7,3]=>[4,2,1,5,6,3]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[4,2,1,5,7,3,6]=>[4,2,1,5,3,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,2,1,5,7,6,3]=>[4,2,1,5,6,3]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[4,2,1,6,3,5,7]=>[4,2,1,6,3,5]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,2,1,6,3,7,5]=>[4,2,1,6,3,5]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,2,1,6,5,3,7]=>[4,2,1,6,5,3]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
[4,2,1,6,5,7,3]=>[4,2,1,6,5,3]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
[4,2,1,6,7,3,5]=>[4,2,1,6,3,5]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,2,1,6,7,5,3]=>[4,2,1,6,5,3]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
[4,2,1,7,3,5,6]=>[4,2,1,3,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[4,2,1,7,3,6,5]=>[4,2,1,3,6,5]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[4,2,1,7,5,3,6]=>[4,2,1,5,3,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,2,1,7,5,6,3]=>[4,2,1,5,6,3]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[4,2,1,7,6,3,5]=>[4,2,1,6,3,5]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,2,1,7,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
[4,2,3,1,5,6,7]=>[4,2,3,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[4,2,3,1,5,7,6]=>[4,2,3,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[4,2,3,1,6,5,7]=>[4,2,3,1,6,5]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,3,1,6,7,5]=>[4,2,3,1,6,5]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,3,1,7,5,6]=>[4,2,3,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[4,2,3,1,7,6,5]=>[4,2,3,1,6,5]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,3,5,1,6,7]=>[4,2,3,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[4,2,3,5,1,7,6]=>[4,2,3,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
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[4,2,3,5,7,1,6]=>[4,2,3,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[4,2,3,5,7,6,1]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]=>[.,[[[[.,.],.],.],[.,.]]]
[4,2,3,6,1,5,7]=>[4,2,3,6,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[4,2,3,6,1,7,5]=>[4,2,3,6,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[4,2,3,6,5,1,7]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]=>[.,[[[.,[.,.]],.],[.,.]]]
[4,2,3,6,5,7,1]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]=>[.,[[[.,[.,.]],.],[.,.]]]
[4,2,3,6,7,1,5]=>[4,2,3,6,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[4,2,3,6,7,5,1]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]=>[.,[[[.,[.,.]],.],[.,.]]]
[4,2,3,7,1,5,6]=>[4,2,3,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[4,2,3,7,1,6,5]=>[4,2,3,1,6,5]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,3,7,5,1,6]=>[4,2,3,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
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[4,2,3,7,6,1,5]=>[4,2,3,6,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[4,2,3,7,6,5,1]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]=>[.,[[[.,[.,.]],.],[.,.]]]
[4,2,5,1,3,6,7]=>[4,2,5,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[4,2,5,1,3,7,6]=>[4,2,5,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[4,2,5,1,6,3,7]=>[4,2,5,1,6,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,5,1,6,7,3]=>[4,2,5,1,6,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,5,1,7,3,6]=>[4,2,5,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[4,2,5,1,7,6,3]=>[4,2,5,1,6,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,5,3,1,6,7]=>[4,2,5,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,2,5,3,1,7,6]=>[4,2,5,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,2,5,3,6,1,7]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,2,5,3,6,7,1]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,2,5,3,7,1,6]=>[4,2,5,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,2,5,3,7,6,1]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,2,5,6,1,3,7]=>[4,2,5,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[4,2,5,6,1,7,3]=>[4,2,5,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[4,2,5,6,3,1,7]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]=>[.,[[.,[[.,.],.]],[.,.]]]
[4,2,5,6,3,7,1]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]=>[.,[[.,[[.,.],.]],[.,.]]]
[4,2,5,6,7,1,3]=>[4,2,5,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[4,2,5,6,7,3,1]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]=>[.,[[.,[[.,.],.]],[.,.]]]
[4,2,5,7,1,3,6]=>[4,2,5,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[4,2,5,7,1,6,3]=>[4,2,5,1,6,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,5,7,3,1,6]=>[4,2,5,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,2,5,7,3,6,1]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,2,5,7,6,1,3]=>[4,2,5,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[4,2,5,7,6,3,1]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]=>[.,[[.,[[.,.],.]],[.,.]]]
[4,2,6,1,3,5,7]=>[4,2,6,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[4,2,6,1,3,7,5]=>[4,2,6,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[4,2,6,1,5,3,7]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,6,1,5,7,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,6,1,7,3,5]=>[4,2,6,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[4,2,6,1,7,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,6,3,1,5,7]=>[4,2,6,3,1,5]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,2,6,3,1,7,5]=>[4,2,6,3,1,5]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,2,6,3,5,1,7]=>[4,2,6,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,2,6,3,5,7,1]=>[4,2,6,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,2,6,3,7,1,5]=>[4,2,6,3,1,5]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,2,6,3,7,5,1]=>[4,2,6,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,2,6,5,1,3,7]=>[4,2,6,5,1,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,2,6,5,1,7,3]=>[4,2,6,5,1,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,2,6,5,3,1,7]=>[4,2,6,5,3,1]=>[[[.,.],[[[.,.],.],.]],.]=>[.,[[.,[.,[.,.]]],[.,.]]]
[4,2,6,5,3,7,1]=>[4,2,6,5,3,1]=>[[[.,.],[[[.,.],.],.]],.]=>[.,[[.,[.,[.,.]]],[.,.]]]
[4,2,6,5,7,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,2,6,5,7,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[[[.,.],.],.]],.]=>[.,[[.,[.,[.,.]]],[.,.]]]
[4,2,6,7,1,3,5]=>[4,2,6,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[4,2,6,7,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,6,7,3,1,5]=>[4,2,6,3,1,5]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,2,6,7,3,5,1]=>[4,2,6,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,2,6,7,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,2,6,7,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[[[.,.],.],.]],.]=>[.,[[.,[.,[.,.]]],[.,.]]]
[4,2,7,1,3,5,6]=>[4,2,1,3,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[4,2,7,1,3,6,5]=>[4,2,1,3,6,5]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[4,2,7,1,5,3,6]=>[4,2,1,5,3,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,2,7,1,5,6,3]=>[4,2,1,5,6,3]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[4,2,7,1,6,3,5]=>[4,2,1,6,3,5]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,2,7,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
[4,2,7,3,1,5,6]=>[4,2,3,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[4,2,7,3,1,6,5]=>[4,2,3,1,6,5]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,7,3,5,1,6]=>[4,2,3,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[4,2,7,3,5,6,1]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]=>[.,[[[[.,.],.],.],[.,.]]]
[4,2,7,3,6,1,5]=>[4,2,3,6,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[4,2,7,3,6,5,1]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]=>[.,[[[.,[.,.]],.],[.,.]]]
[4,2,7,5,1,3,6]=>[4,2,5,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[4,2,7,5,1,6,3]=>[4,2,5,1,6,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,7,5,3,1,6]=>[4,2,5,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,2,7,5,3,6,1]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,2,7,5,6,1,3]=>[4,2,5,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[4,2,7,5,6,3,1]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]=>[.,[[.,[[.,.],.]],[.,.]]]
[4,2,7,6,1,3,5]=>[4,2,6,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[4,2,7,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,7,6,3,1,5]=>[4,2,6,3,1,5]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,2,7,6,3,5,1]=>[4,2,6,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,2,7,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,2,7,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[[[.,.],.],.]],.]=>[.,[[.,[.,[.,.]]],[.,.]]]
[4,3,1,2,5,6,7]=>[4,3,1,2,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[4,3,1,2,5,7,6]=>[4,3,1,2,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[4,3,1,2,6,5,7]=>[4,3,1,2,6,5]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[4,3,1,2,6,7,5]=>[4,3,1,2,6,5]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[4,3,1,2,7,5,6]=>[4,3,1,2,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
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[4,5,1,6,7,3,2]=>[4,5,1,6,3,2]=>[[.,[.,.]],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[[.,.],.]]
[4,5,1,7,2,3,6]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,.],.]]
[4,5,1,7,2,6,3]=>[4,5,1,2,6,3]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,1,7,3,2,6]=>[4,5,1,3,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,1,7,3,6,2]=>[4,5,1,3,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,1,7,6,2,3]=>[4,5,1,6,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,1,7,6,3,2]=>[4,5,1,6,3,2]=>[[.,[.,.]],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[[.,.],.]]
[4,5,2,1,3,6,7]=>[4,5,2,1,3,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[4,5,2,1,3,7,6]=>[4,5,2,1,3,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[4,5,2,1,6,3,7]=>[4,5,2,1,6,3]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,5,2,1,6,7,3]=>[4,5,2,1,6,3]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,5,2,1,7,3,6]=>[4,5,2,1,3,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[4,5,2,1,7,6,3]=>[4,5,2,1,6,3]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,5,2,3,1,6,7]=>[4,5,2,3,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,5,2,3,1,7,6]=>[4,5,2,3,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,5,2,3,6,1,7]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]=>[.,[[[.,.],.],[[.,.],.]]]
[4,5,2,3,6,7,1]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]=>[.,[[[.,.],.],[[.,.],.]]]
[4,5,2,3,7,1,6]=>[4,5,2,3,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,5,2,3,7,6,1]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]=>[.,[[[.,.],.],[[.,.],.]]]
[4,5,2,6,1,3,7]=>[4,5,2,6,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,5,2,6,1,7,3]=>[4,5,2,6,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,5,2,6,3,1,7]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]=>[.,[[.,[.,.]],[[.,.],.]]]
[4,5,2,6,3,7,1]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]=>[.,[[.,[.,.]],[[.,.],.]]]
[4,5,2,6,7,1,3]=>[4,5,2,6,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,5,2,6,7,3,1]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]=>[.,[[.,[.,.]],[[.,.],.]]]
[4,5,2,7,1,3,6]=>[4,5,2,1,3,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[4,5,2,7,1,6,3]=>[4,5,2,1,6,3]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,5,2,7,3,1,6]=>[4,5,2,3,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,5,2,7,3,6,1]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]=>[.,[[[.,.],.],[[.,.],.]]]
[4,5,2,7,6,1,3]=>[4,5,2,6,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,5,2,7,6,3,1]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]=>[.,[[.,[.,.]],[[.,.],.]]]
[4,5,3,1,2,6,7]=>[4,5,3,1,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[4,5,3,1,2,7,6]=>[4,5,3,1,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[4,5,3,1,6,2,7]=>[4,5,3,1,6,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,5,3,1,6,7,2]=>[4,5,3,1,6,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,5,3,1,7,2,6]=>[4,5,3,1,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[4,5,3,1,7,6,2]=>[4,5,3,1,6,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,5,3,2,1,6,7]=>[4,5,3,2,1,6]=>[[[[.,[.,.]],.],.],[.,.]]=>[[.,.],[.,[.,[[.,.],.]]]]
[4,5,3,2,1,7,6]=>[4,5,3,2,1,6]=>[[[[.,[.,.]],.],.],[.,.]]=>[[.,.],[.,[.,[[.,.],.]]]]
[4,5,3,2,6,1,7]=>[4,5,3,2,6,1]=>[[[[.,[.,.]],.],[.,.]],.]=>[.,[[.,.],[.,[[.,.],.]]]]
[4,5,3,2,6,7,1]=>[4,5,3,2,6,1]=>[[[[.,[.,.]],.],[.,.]],.]=>[.,[[.,.],[.,[[.,.],.]]]]
[4,5,3,2,7,1,6]=>[4,5,3,2,1,6]=>[[[[.,[.,.]],.],.],[.,.]]=>[[.,.],[.,[.,[[.,.],.]]]]
[4,5,3,2,7,6,1]=>[4,5,3,2,6,1]=>[[[[.,[.,.]],.],[.,.]],.]=>[.,[[.,.],[.,[[.,.],.]]]]
[4,5,3,6,1,2,7]=>[4,5,3,6,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,5,3,6,1,7,2]=>[4,5,3,6,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,5,3,6,2,1,7]=>[4,5,3,6,2,1]=>[[[[.,[.,.]],[.,.]],.],.]=>[.,[.,[[.,.],[[.,.],.]]]]
[4,5,3,6,2,7,1]=>[4,5,3,6,2,1]=>[[[[.,[.,.]],[.,.]],.],.]=>[.,[.,[[.,.],[[.,.],.]]]]
[4,5,3,6,7,1,2]=>[4,5,3,6,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,5,3,6,7,2,1]=>[4,5,3,6,2,1]=>[[[[.,[.,.]],[.,.]],.],.]=>[.,[.,[[.,.],[[.,.],.]]]]
[4,5,3,7,1,2,6]=>[4,5,3,1,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[4,5,3,7,1,6,2]=>[4,5,3,1,6,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,5,3,7,2,1,6]=>[4,5,3,2,1,6]=>[[[[.,[.,.]],.],.],[.,.]]=>[[.,.],[.,[.,[[.,.],.]]]]
[4,5,3,7,2,6,1]=>[4,5,3,2,6,1]=>[[[[.,[.,.]],.],[.,.]],.]=>[.,[[.,.],[.,[[.,.],.]]]]
[4,5,3,7,6,1,2]=>[4,5,3,6,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,5,3,7,6,2,1]=>[4,5,3,6,2,1]=>[[[[.,[.,.]],[.,.]],.],.]=>[.,[.,[[.,.],[[.,.],.]]]]
[4,5,6,1,2,3,7]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>[[[.,.],.],[[[.,.],.],.]]
[4,5,6,1,2,7,3]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>[[[.,.],.],[[[.,.],.],.]]
[4,5,6,1,3,2,7]=>[4,5,6,1,3,2]=>[[.,[.,[.,.]]],[[.,.],.]]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,6,1,3,7,2]=>[4,5,6,1,3,2]=>[[.,[.,[.,.]]],[[.,.],.]]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,6,1,7,2,3]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>[[[.,.],.],[[[.,.],.],.]]
[4,5,6,1,7,3,2]=>[4,5,6,1,3,2]=>[[.,[.,[.,.]]],[[.,.],.]]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,6,2,1,3,7]=>[4,5,6,2,1,3]=>[[[.,[.,[.,.]]],.],[.,.]]=>[[.,.],[.,[[[.,.],.],.]]]
[4,5,6,2,1,7,3]=>[4,5,6,2,1,3]=>[[[.,[.,[.,.]]],.],[.,.]]=>[[.,.],[.,[[[.,.],.],.]]]
[4,5,6,2,3,1,7]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]=>[.,[[.,.],[[[.,.],.],.]]]
[4,5,6,2,3,7,1]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]=>[.,[[.,.],[[[.,.],.],.]]]
[4,5,6,2,7,1,3]=>[4,5,6,2,1,3]=>[[[.,[.,[.,.]]],.],[.,.]]=>[[.,.],[.,[[[.,.],.],.]]]
[4,5,6,2,7,3,1]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]=>[.,[[.,.],[[[.,.],.],.]]]
[4,5,6,3,1,2,7]=>[4,5,6,3,1,2]=>[[[.,[.,[.,.]]],.],[.,.]]=>[[.,.],[.,[[[.,.],.],.]]]
[4,5,6,3,1,7,2]=>[4,5,6,3,1,2]=>[[[.,[.,[.,.]]],.],[.,.]]=>[[.,.],[.,[[[.,.],.],.]]]
[4,5,6,3,2,1,7]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]=>[.,[.,[.,[[[.,.],.],.]]]]
[4,5,6,3,2,7,1]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]=>[.,[.,[.,[[[.,.],.],.]]]]
[4,5,6,3,7,1,2]=>[4,5,6,3,1,2]=>[[[.,[.,[.,.]]],.],[.,.]]=>[[.,.],[.,[[[.,.],.],.]]]
[4,5,6,3,7,2,1]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]=>[.,[.,[.,[[[.,.],.],.]]]]
[4,5,6,7,1,2,3]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>[[[.,.],.],[[[.,.],.],.]]
[4,5,6,7,1,3,2]=>[4,5,6,1,3,2]=>[[.,[.,[.,.]]],[[.,.],.]]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,6,7,2,1,3]=>[4,5,6,2,1,3]=>[[[.,[.,[.,.]]],.],[.,.]]=>[[.,.],[.,[[[.,.],.],.]]]
[4,5,6,7,2,3,1]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]=>[.,[[.,.],[[[.,.],.],.]]]
[4,5,6,7,3,1,2]=>[4,5,6,3,1,2]=>[[[.,[.,[.,.]]],.],[.,.]]=>[[.,.],[.,[[[.,.],.],.]]]
[4,5,6,7,3,2,1]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]=>[.,[.,[.,[[[.,.],.],.]]]]
[4,5,7,1,2,3,6]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,.],.]]
[4,5,7,1,2,6,3]=>[4,5,1,2,6,3]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,7,1,3,2,6]=>[4,5,1,3,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,7,1,3,6,2]=>[4,5,1,3,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,7,1,6,2,3]=>[4,5,1,6,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,7,1,6,3,2]=>[4,5,1,6,3,2]=>[[.,[.,.]],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[[.,.],.]]
[4,5,7,2,1,3,6]=>[4,5,2,1,3,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[4,5,7,2,1,6,3]=>[4,5,2,1,6,3]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,5,7,2,3,1,6]=>[4,5,2,3,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,5,7,2,3,6,1]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]=>[.,[[[.,.],.],[[.,.],.]]]
[4,5,7,2,6,1,3]=>[4,5,2,6,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,5,7,2,6,3,1]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]=>[.,[[.,[.,.]],[[.,.],.]]]
[4,5,7,3,1,2,6]=>[4,5,3,1,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[4,5,7,3,1,6,2]=>[4,5,3,1,6,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,5,7,3,2,1,6]=>[4,5,3,2,1,6]=>[[[[.,[.,.]],.],.],[.,.]]=>[[.,.],[.,[.,[[.,.],.]]]]
[4,5,7,3,2,6,1]=>[4,5,3,2,6,1]=>[[[[.,[.,.]],.],[.,.]],.]=>[.,[[.,.],[.,[[.,.],.]]]]
[4,5,7,3,6,1,2]=>[4,5,3,6,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,5,7,3,6,2,1]=>[4,5,3,6,2,1]=>[[[[.,[.,.]],[.,.]],.],.]=>[.,[.,[[.,.],[[.,.],.]]]]
[4,5,7,6,1,2,3]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>[[[.,.],.],[[[.,.],.],.]]
[4,5,7,6,1,3,2]=>[4,5,6,1,3,2]=>[[.,[.,[.,.]]],[[.,.],.]]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,7,6,2,1,3]=>[4,5,6,2,1,3]=>[[[.,[.,[.,.]]],.],[.,.]]=>[[.,.],[.,[[[.,.],.],.]]]
[4,5,7,6,2,3,1]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]=>[.,[[.,.],[[[.,.],.],.]]]
[4,5,7,6,3,1,2]=>[4,5,6,3,1,2]=>[[[.,[.,[.,.]]],.],[.,.]]=>[[.,.],[.,[[[.,.],.],.]]]
[4,5,7,6,3,2,1]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]=>[.,[.,[.,[[[.,.],.],.]]]]
[4,6,1,2,3,5,7]=>[4,6,1,2,3,5]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,.],.]]
[4,6,1,2,3,7,5]=>[4,6,1,2,3,5]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,.],.]]
[4,6,1,2,5,3,7]=>[4,6,1,2,5,3]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,1,2,5,7,3]=>[4,6,1,2,5,3]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,1,2,7,3,5]=>[4,6,1,2,3,5]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,.],.]]
[4,6,1,2,7,5,3]=>[4,6,1,2,5,3]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,1,3,2,5,7]=>[4,6,1,3,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,1,3,2,7,5]=>[4,6,1,3,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,1,3,5,2,7]=>[4,6,1,3,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,3,5,7,2]=>[4,6,1,3,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,3,7,2,5]=>[4,6,1,3,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,1,3,7,5,2]=>[4,6,1,3,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,5,2,3,7]=>[4,6,1,5,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,1,5,2,7,3]=>[4,6,1,5,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,1,5,3,2,7]=>[4,6,1,5,3,2]=>[[.,[.,.]],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[[.,.],.]]
[4,6,1,5,3,7,2]=>[4,6,1,5,3,2]=>[[.,[.,.]],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[[.,.],.]]
[4,6,1,5,7,2,3]=>[4,6,1,5,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,1,5,7,3,2]=>[4,6,1,5,3,2]=>[[.,[.,.]],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[[.,.],.]]
[4,6,1,7,2,3,5]=>[4,6,1,2,3,5]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,.],.]]
[4,6,1,7,2,5,3]=>[4,6,1,2,5,3]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,1,7,3,2,5]=>[4,6,1,3,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,1,7,3,5,2]=>[4,6,1,3,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,7,5,2,3]=>[4,6,1,5,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,1,7,5,3,2]=>[4,6,1,5,3,2]=>[[.,[.,.]],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[[.,.],.]]
[4,6,2,1,3,5,7]=>[4,6,2,1,3,5]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[4,6,2,1,3,7,5]=>[4,6,2,1,3,5]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[4,6,2,1,5,3,7]=>[4,6,2,1,5,3]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,6,2,1,5,7,3]=>[4,6,2,1,5,3]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,6,2,1,7,3,5]=>[4,6,2,1,3,5]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[4,6,2,1,7,5,3]=>[4,6,2,1,5,3]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,6,2,3,1,5,7]=>[4,6,2,3,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,6,2,3,1,7,5]=>[4,6,2,3,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,6,2,3,5,1,7]=>[4,6,2,3,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]=>[.,[[[.,.],.],[[.,.],.]]]
[4,6,2,3,5,7,1]=>[4,6,2,3,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]=>[.,[[[.,.],.],[[.,.],.]]]
[4,6,2,3,7,1,5]=>[4,6,2,3,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,6,2,3,7,5,1]=>[4,6,2,3,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]=>[.,[[[.,.],.],[[.,.],.]]]
[4,6,2,5,1,3,7]=>[4,6,2,5,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,6,2,5,1,7,3]=>[4,6,2,5,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,6,2,5,3,1,7]=>[4,6,2,5,3,1]=>[[[.,[.,.]],[[.,.],.]],.]=>[.,[[.,[.,.]],[[.,.],.]]]
[4,6,2,5,3,7,1]=>[4,6,2,5,3,1]=>[[[.,[.,.]],[[.,.],.]],.]=>[.,[[.,[.,.]],[[.,.],.]]]
[4,6,2,5,7,1,3]=>[4,6,2,5,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,6,2,5,7,3,1]=>[4,6,2,5,3,1]=>[[[.,[.,.]],[[.,.],.]],.]=>[.,[[.,[.,.]],[[.,.],.]]]
[4,6,2,7,1,3,5]=>[4,6,2,1,3,5]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[4,6,2,7,1,5,3]=>[4,6,2,1,5,3]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,6,2,7,3,1,5]=>[4,6,2,3,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,6,2,7,3,5,1]=>[4,6,2,3,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]=>[.,[[[.,.],.],[[.,.],.]]]
[4,6,2,7,5,1,3]=>[4,6,2,5,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,6,2,7,5,3,1]=>[4,6,2,5,3,1]=>[[[.,[.,.]],[[.,.],.]],.]=>[.,[[.,[.,.]],[[.,.],.]]]
[4,6,3,1,2,5,7]=>[4,6,3,1,2,5]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[4,6,3,1,2,7,5]=>[4,6,3,1,2,5]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[4,6,3,1,5,2,7]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,6,3,1,5,7,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,6,3,1,7,2,5]=>[4,6,3,1,2,5]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[4,6,3,1,7,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,6,3,2,1,5,7]=>[4,6,3,2,1,5]=>[[[[.,[.,.]],.],.],[.,.]]=>[[.,.],[.,[.,[[.,.],.]]]]
[4,6,3,2,1,7,5]=>[4,6,3,2,1,5]=>[[[[.,[.,.]],.],.],[.,.]]=>[[.,.],[.,[.,[[.,.],.]]]]
[4,6,3,2,5,1,7]=>[4,6,3,2,5,1]=>[[[[.,[.,.]],.],[.,.]],.]=>[.,[[.,.],[.,[[.,.],.]]]]
[4,6,3,2,5,7,1]=>[4,6,3,2,5,1]=>[[[[.,[.,.]],.],[.,.]],.]=>[.,[[.,.],[.,[[.,.],.]]]]
[4,6,3,2,7,1,5]=>[4,6,3,2,1,5]=>[[[[.,[.,.]],.],.],[.,.]]=>[[.,.],[.,[.,[[.,.],.]]]]
[4,6,3,2,7,5,1]=>[4,6,3,2,5,1]=>[[[[.,[.,.]],.],[.,.]],.]=>[.,[[.,.],[.,[[.,.],.]]]]
[4,6,3,5,1,2,7]=>[4,6,3,5,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,6,3,5,1,7,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,6,3,5,2,1,7]=>[4,6,3,5,2,1]=>[[[[.,[.,.]],[.,.]],.],.]=>[.,[.,[[.,.],[[.,.],.]]]]
[4,6,3,5,2,7,1]=>[4,6,3,5,2,1]=>[[[[.,[.,.]],[.,.]],.],.]=>[.,[.,[[.,.],[[.,.],.]]]]
[4,6,3,5,7,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,6,3,5,7,2,1]=>[4,6,3,5,2,1]=>[[[[.,[.,.]],[.,.]],.],.]=>[.,[.,[[.,.],[[.,.],.]]]]
[4,6,3,7,1,2,5]=>[4,6,3,1,2,5]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[4,6,3,7,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,6,3,7,2,1,5]=>[4,6,3,2,1,5]=>[[[[.,[.,.]],.],.],[.,.]]=>[[.,.],[.,[.,[[.,.],.]]]]
[4,6,3,7,2,5,1]=>[4,6,3,2,5,1]=>[[[[.,[.,.]],.],[.,.]],.]=>[.,[[.,.],[.,[[.,.],.]]]]
[4,6,3,7,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,6,3,7,5,2,1]=>[4,6,3,5,2,1]=>[[[[.,[.,.]],[.,.]],.],.]=>[.,[.,[[.,.],[[.,.],.]]]]
[4,6,5,1,2,3,7]=>[4,6,5,1,2,3]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,.]],.]]
[4,6,5,1,2,7,3]=>[4,6,5,1,2,3]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,.]],.]]
[4,6,5,1,3,2,7]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]=>[[.,[.,.]],[[.,[.,.]],.]]
[4,6,5,1,3,7,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]=>[[.,[.,.]],[[.,[.,.]],.]]
[4,6,5,1,7,2,3]=>[4,6,5,1,2,3]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,.]],.]]
[4,6,5,1,7,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]=>[[.,[.,.]],[[.,[.,.]],.]]
[4,6,5,2,1,3,7]=>[4,6,5,2,1,3]=>[[[.,[[.,.],.]],.],[.,.]]=>[[.,.],[.,[[.,[.,.]],.]]]
[4,6,5,2,1,7,3]=>[4,6,5,2,1,3]=>[[[.,[[.,.],.]],.],[.,.]]=>[[.,.],[.,[[.,[.,.]],.]]]
[4,6,5,2,3,1,7]=>[4,6,5,2,3,1]=>[[[.,[[.,.],.]],[.,.]],.]=>[.,[[.,.],[[.,[.,.]],.]]]
[4,6,5,2,3,7,1]=>[4,6,5,2,3,1]=>[[[.,[[.,.],.]],[.,.]],.]=>[.,[[.,.],[[.,[.,.]],.]]]
[4,6,5,2,7,1,3]=>[4,6,5,2,1,3]=>[[[.,[[.,.],.]],.],[.,.]]=>[[.,.],[.,[[.,[.,.]],.]]]
[4,6,5,2,7,3,1]=>[4,6,5,2,3,1]=>[[[.,[[.,.],.]],[.,.]],.]=>[.,[[.,.],[[.,[.,.]],.]]]
[4,6,5,3,1,2,7]=>[4,6,5,3,1,2]=>[[[.,[[.,.],.]],.],[.,.]]=>[[.,.],[.,[[.,[.,.]],.]]]
[4,6,5,3,1,7,2]=>[4,6,5,3,1,2]=>[[[.,[[.,.],.]],.],[.,.]]=>[[.,.],[.,[[.,[.,.]],.]]]
[4,6,5,3,2,1,7]=>[4,6,5,3,2,1]=>[[[[.,[[.,.],.]],.],.],.]=>[.,[.,[.,[[.,[.,.]],.]]]]
[4,6,5,3,2,7,1]=>[4,6,5,3,2,1]=>[[[[.,[[.,.],.]],.],.],.]=>[.,[.,[.,[[.,[.,.]],.]]]]
[4,6,5,3,7,1,2]=>[4,6,5,3,1,2]=>[[[.,[[.,.],.]],.],[.,.]]=>[[.,.],[.,[[.,[.,.]],.]]]
[4,6,5,3,7,2,1]=>[4,6,5,3,2,1]=>[[[[.,[[.,.],.]],.],.],.]=>[.,[.,[.,[[.,[.,.]],.]]]]
[4,6,5,7,1,2,3]=>[4,6,5,1,2,3]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,.]],.]]
[4,6,5,7,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]=>[[.,[.,.]],[[.,[.,.]],.]]
[4,6,5,7,2,1,3]=>[4,6,5,2,1,3]=>[[[.,[[.,.],.]],.],[.,.]]=>[[.,.],[.,[[.,[.,.]],.]]]
[4,6,5,7,2,3,1]=>[4,6,5,2,3,1]=>[[[.,[[.,.],.]],[.,.]],.]=>[.,[[.,.],[[.,[.,.]],.]]]
[4,6,5,7,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[[.,.],.]],.],[.,.]]=>[[.,.],[.,[[.,[.,.]],.]]]
[4,6,5,7,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,[[.,.],.]],.],.],.]=>[.,[.,[.,[[.,[.,.]],.]]]]
[4,6,7,1,2,3,5]=>[4,6,1,2,3,5]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,.],.]]
[4,6,7,1,2,5,3]=>[4,6,1,2,5,3]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,7,1,3,2,5]=>[4,6,1,3,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,7,1,3,5,2]=>[4,6,1,3,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,7,1,5,2,3]=>[4,6,1,5,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,7,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[.,.]],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[[.,.],.]]
[4,6,7,2,1,3,5]=>[4,6,2,1,3,5]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[4,6,7,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,6,7,2,3,1,5]=>[4,6,2,3,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,6,7,2,3,5,1]=>[4,6,2,3,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]=>[.,[[[.,.],.],[[.,.],.]]]
[4,6,7,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,6,7,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,[.,.]],[[.,.],.]],.]=>[.,[[.,[.,.]],[[.,.],.]]]
[4,6,7,3,1,2,5]=>[4,6,3,1,2,5]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[4,6,7,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,6,7,3,2,1,5]=>[4,6,3,2,1,5]=>[[[[.,[.,.]],.],.],[.,.]]=>[[.,.],[.,[.,[[.,.],.]]]]
[4,6,7,3,2,5,1]=>[4,6,3,2,5,1]=>[[[[.,[.,.]],.],[.,.]],.]=>[.,[[.,.],[.,[[.,.],.]]]]
[4,6,7,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,6,7,3,5,2,1]=>[4,6,3,5,2,1]=>[[[[.,[.,.]],[.,.]],.],.]=>[.,[.,[[.,.],[[.,.],.]]]]
[4,6,7,5,1,2,3]=>[4,6,5,1,2,3]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,.]],.]]
[4,6,7,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]=>[[.,[.,.]],[[.,[.,.]],.]]
[4,6,7,5,2,1,3]=>[4,6,5,2,1,3]=>[[[.,[[.,.],.]],.],[.,.]]=>[[.,.],[.,[[.,[.,.]],.]]]
[4,6,7,5,2,3,1]=>[4,6,5,2,3,1]=>[[[.,[[.,.],.]],[.,.]],.]=>[.,[[.,.],[[.,[.,.]],.]]]
[4,6,7,5,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[[.,.],.]],.],[.,.]]=>[[.,.],[.,[[.,[.,.]],.]]]
[4,6,7,5,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,[[.,.],.]],.],.],.]=>[.,[.,[.,[[.,[.,.]],.]]]]
[4,7,1,2,3,5,6]=>[4,1,2,3,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]=>[[[[[.,.],.],.],.],[.,.]]
[4,7,1,2,3,6,5]=>[4,1,2,3,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]=>[[[[.,[.,.]],.],.],[.,.]]
[4,7,1,2,5,3,6]=>[4,1,2,5,3,6]=>[[.,.],[.,[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],.],[.,.]]
[4,7,1,2,5,6,3]=>[4,1,2,5,6,3]=>[[.,.],[.,[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],.],[.,.]]
[4,7,1,2,6,3,5]=>[4,1,2,6,3,5]=>[[.,.],[.,[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],.],[.,.]]
[4,7,1,2,6,5,3]=>[4,1,2,6,5,3]=>[[.,.],[.,[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],.],[.,.]]
[4,7,1,3,2,5,6]=>[4,1,3,2,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[.,.]]
[4,7,1,3,2,6,5]=>[4,1,3,2,6,5]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,7,1,3,5,2,6]=>[4,1,3,5,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[.,.],[[.,.],.]],[.,.]]
[4,7,1,3,5,6,2]=>[4,1,3,5,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]=>[[.,[[[.,.],.],.]],[.,.]]
[4,7,1,3,6,2,5]=>[4,1,3,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[.,.],[[.,.],.]],[.,.]]
[4,7,1,3,6,5,2]=>[4,1,3,6,5,2]=>[[.,.],[[.,[[.,.],.]],.]]=>[[.,[[.,[.,.]],.]],[.,.]]
[4,7,1,5,2,3,6]=>[4,1,5,2,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[.,.]]
[4,7,1,5,2,6,3]=>[4,1,5,2,6,3]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,7,1,5,3,2,6]=>[4,1,5,3,2,6]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,7,1,5,3,6,2]=>[4,1,5,3,6,2]=>[[.,.],[[[.,.],[.,.]],.]]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,7,1,5,6,2,3]=>[4,1,5,6,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[.,.],[[.,.],.]],[.,.]]
[4,7,1,5,6,3,2]=>[4,1,5,6,3,2]=>[[.,.],[[[.,[.,.]],.],.]]=>[[.,[.,[[.,.],.]]],[.,.]]
[4,7,1,6,2,3,5]=>[4,1,6,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[.,.]]
[4,7,1,6,2,5,3]=>[4,1,6,2,5,3]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,7,1,6,3,2,5]=>[4,1,6,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,7,1,6,3,5,2]=>[4,1,6,3,5,2]=>[[.,.],[[[.,.],[.,.]],.]]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,7,1,6,5,2,3]=>[4,1,6,5,2,3]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]=>[[.,[.,[.,[.,.]]]],[.,.]]
[4,7,2,1,3,5,6]=>[4,2,1,3,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[4,7,2,1,3,6,5]=>[4,2,1,3,6,5]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[4,7,2,1,5,3,6]=>[4,2,1,5,3,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,7,2,1,5,6,3]=>[4,2,1,5,6,3]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[4,7,2,1,6,3,5]=>[4,2,1,6,3,5]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,7,2,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
[4,7,2,3,1,5,6]=>[4,2,3,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[4,7,2,3,1,6,5]=>[4,2,3,1,6,5]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,7,2,3,5,1,6]=>[4,2,3,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[4,7,2,3,5,6,1]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]=>[.,[[[[.,.],.],.],[.,.]]]
[4,7,2,3,6,1,5]=>[4,2,3,6,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[4,7,2,3,6,5,1]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]=>[.,[[[.,[.,.]],.],[.,.]]]
[4,7,2,5,1,3,6]=>[4,2,5,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[4,7,2,5,1,6,3]=>[4,2,5,1,6,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,7,2,5,3,1,6]=>[4,2,5,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,7,2,5,3,6,1]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,7,2,5,6,1,3]=>[4,2,5,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[4,7,2,5,6,3,1]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]=>[.,[[.,[[.,.],.]],[.,.]]]
[4,7,2,6,1,3,5]=>[4,2,6,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[4,7,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,7,2,6,3,1,5]=>[4,2,6,3,1,5]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,7,2,6,3,5,1]=>[4,2,6,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,7,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,7,2,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[[[.,.],.],.]],.]=>[.,[[.,[.,[.,.]]],[.,.]]]
[4,7,3,1,2,5,6]=>[4,3,1,2,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[4,7,3,1,2,6,5]=>[4,3,1,2,6,5]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[4,7,3,1,5,2,6]=>[4,3,1,5,2,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,7,3,1,5,6,2]=>[4,3,1,5,6,2]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[4,7,3,1,6,2,5]=>[4,3,1,6,2,5]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,7,3,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
[4,7,3,2,1,5,6]=>[4,3,2,1,5,6]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[.,.]]]]
[4,7,3,2,1,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,[.,.]]]]
[4,7,3,2,5,1,6]=>[4,3,2,5,1,6]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[4,7,3,2,5,6,1]=>[4,3,2,5,6,1]=>[[[[.,.],.],[.,[.,.]]],.]=>[.,[[[.,.],.],[.,[.,.]]]]
[4,7,3,2,6,1,5]=>[4,3,2,6,1,5]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[4,7,3,2,6,5,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,[.,.]]]]
[4,7,3,5,1,2,6]=>[4,3,5,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[4,7,3,5,1,6,2]=>[4,3,5,1,6,2]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,7,3,5,2,1,6]=>[4,3,5,2,1,6]=>[[[[.,.],[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],[.,.]]]]
[4,7,3,5,2,6,1]=>[4,3,5,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],[.,.]]]]
[4,7,3,5,6,1,2]=>[4,3,5,6,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[4,7,3,5,6,2,1]=>[4,3,5,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]=>[.,[.,[[[.,.],.],[.,.]]]]
[4,7,3,6,1,2,5]=>[4,3,6,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[4,7,3,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,7,3,6,2,1,5]=>[4,3,6,2,1,5]=>[[[[.,.],[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],[.,.]]]]
[4,7,3,6,2,5,1]=>[4,3,6,2,5,1]=>[[[[.,.],[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],[.,.]]]]
[4,7,3,6,5,1,2]=>[4,3,6,5,1,2]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,7,3,6,5,2,1]=>[4,3,6,5,2,1]=>[[[[.,.],[[.,.],.]],.],.]=>[.,[.,[[.,[.,.]],[.,.]]]]
[4,7,5,1,2,3,6]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,.],.]]
[4,7,5,1,2,6,3]=>[4,5,1,2,6,3]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[[.,.],.]]
[4,7,5,1,3,2,6]=>[4,5,1,3,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,5,1,3,6,2]=>[4,5,1,3,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,5,1,6,2,3]=>[4,5,1,6,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,5,1,6,3,2]=>[4,5,1,6,3,2]=>[[.,[.,.]],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[[.,.],.]]
[4,7,5,2,1,3,6]=>[4,5,2,1,3,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[4,7,5,2,1,6,3]=>[4,5,2,1,6,3]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,7,5,2,3,1,6]=>[4,5,2,3,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,7,5,2,3,6,1]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]=>[.,[[[.,.],.],[[.,.],.]]]
[4,7,5,2,6,1,3]=>[4,5,2,6,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,7,5,2,6,3,1]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]=>[.,[[.,[.,.]],[[.,.],.]]]
[4,7,5,3,1,2,6]=>[4,5,3,1,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[4,7,5,3,1,6,2]=>[4,5,3,1,6,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,7,5,3,2,1,6]=>[4,5,3,2,1,6]=>[[[[.,[.,.]],.],.],[.,.]]=>[[.,.],[.,[.,[[.,.],.]]]]
[4,7,5,3,2,6,1]=>[4,5,3,2,6,1]=>[[[[.,[.,.]],.],[.,.]],.]=>[.,[[.,.],[.,[[.,.],.]]]]
[4,7,5,3,6,1,2]=>[4,5,3,6,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,7,5,3,6,2,1]=>[4,5,3,6,2,1]=>[[[[.,[.,.]],[.,.]],.],.]=>[.,[.,[[.,.],[[.,.],.]]]]
[4,7,5,6,1,2,3]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>[[[.,.],.],[[[.,.],.],.]]
[4,7,5,6,1,3,2]=>[4,5,6,1,3,2]=>[[.,[.,[.,.]]],[[.,.],.]]=>[[.,[.,.]],[[[.,.],.],.]]
[4,7,5,6,2,1,3]=>[4,5,6,2,1,3]=>[[[.,[.,[.,.]]],.],[.,.]]=>[[.,.],[.,[[[.,.],.],.]]]
[4,7,5,6,2,3,1]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]=>[.,[[.,.],[[[.,.],.],.]]]
[4,7,5,6,3,1,2]=>[4,5,6,3,1,2]=>[[[.,[.,[.,.]]],.],[.,.]]=>[[.,.],[.,[[[.,.],.],.]]]
[4,7,5,6,3,2,1]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]=>[.,[.,[.,[[[.,.],.],.]]]]
[4,7,6,1,2,3,5]=>[4,6,1,2,3,5]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,.],.]]
[4,7,6,1,2,5,3]=>[4,6,1,2,5,3]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[[.,.],.]]
[4,7,6,1,3,2,5]=>[4,6,1,3,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,6,1,3,5,2]=>[4,6,1,3,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,6,1,5,2,3]=>[4,6,1,5,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[.,.]],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[[.,.],.]]
[4,7,6,2,1,3,5]=>[4,6,2,1,3,5]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[4,7,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,7,6,2,3,1,5]=>[4,6,2,3,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,7,6,2,3,5,1]=>[4,6,2,3,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]=>[.,[[[.,.],.],[[.,.],.]]]
[4,7,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,7,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,[.,.]],[[.,.],.]],.]=>[.,[[.,[.,.]],[[.,.],.]]]
[4,7,6,3,1,2,5]=>[4,6,3,1,2,5]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[4,7,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,7,6,3,2,1,5]=>[4,6,3,2,1,5]=>[[[[.,[.,.]],.],.],[.,.]]=>[[.,.],[.,[.,[[.,.],.]]]]
[4,7,6,3,2,5,1]=>[4,6,3,2,5,1]=>[[[[.,[.,.]],.],[.,.]],.]=>[.,[[.,.],[.,[[.,.],.]]]]
[4,7,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[4,7,6,3,5,2,1]=>[4,6,3,5,2,1]=>[[[[.,[.,.]],[.,.]],.],.]=>[.,[.,[[.,.],[[.,.],.]]]]
[4,7,6,5,1,2,3]=>[4,6,5,1,2,3]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,.]],.]]
[4,7,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]=>[[.,[.,.]],[[.,[.,.]],.]]
[4,7,6,5,2,1,3]=>[4,6,5,2,1,3]=>[[[.,[[.,.],.]],.],[.,.]]=>[[.,.],[.,[[.,[.,.]],.]]]
[4,7,6,5,2,3,1]=>[4,6,5,2,3,1]=>[[[.,[[.,.],.]],[.,.]],.]=>[.,[[.,.],[[.,[.,.]],.]]]
[4,7,6,5,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[[.,.],.]],.],[.,.]]=>[[.,.],[.,[[.,[.,.]],.]]]
[4,7,6,5,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,[[.,.],.]],.],.],.]=>[.,[.,[.,[[.,[.,.]],.]]]]
[5,1,2,3,4,6,7]=>[5,1,2,3,4,6]=>[[.,.],[.,[.,[.,[.,.]]]]]=>[[[[[.,.],.],.],.],[.,.]]
[5,1,2,3,4,7,6]=>[5,1,2,3,4,6]=>[[.,.],[.,[.,[.,[.,.]]]]]=>[[[[[.,.],.],.],.],[.,.]]
[5,1,2,3,6,4,7]=>[5,1,2,3,6,4]=>[[.,.],[.,[.,[[.,.],.]]]]=>[[[[.,[.,.]],.],.],[.,.]]
[5,1,2,3,6,7,4]=>[5,1,2,3,6,4]=>[[.,.],[.,[.,[[.,.],.]]]]=>[[[[.,[.,.]],.],.],[.,.]]
[5,1,2,3,7,4,6]=>[5,1,2,3,4,6]=>[[.,.],[.,[.,[.,[.,.]]]]]=>[[[[[.,.],.],.],.],[.,.]]
[5,1,2,3,7,6,4]=>[5,1,2,3,6,4]=>[[.,.],[.,[.,[[.,.],.]]]]=>[[[[.,[.,.]],.],.],[.,.]]
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[5,1,2,4,6,3,7]=>[5,1,2,4,6,3]=>[[.,.],[.,[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],.],[.,.]]
[5,1,2,4,6,7,3]=>[5,1,2,4,6,3]=>[[.,.],[.,[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],.],[.,.]]
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[5,1,2,4,7,6,3]=>[5,1,2,4,6,3]=>[[.,.],[.,[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],.],[.,.]]
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[5,1,2,6,4,3,7]=>[5,1,2,6,4,3]=>[[.,.],[.,[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],.],[.,.]]
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[5,1,2,6,7,3,4]=>[5,1,2,6,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],.],[.,.]]
[5,1,2,6,7,4,3]=>[5,1,2,6,4,3]=>[[.,.],[.,[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],.],[.,.]]
[5,1,2,7,3,4,6]=>[5,1,2,3,4,6]=>[[.,.],[.,[.,[.,[.,.]]]]]=>[[[[[.,.],.],.],.],[.,.]]
[5,1,2,7,3,6,4]=>[5,1,2,3,6,4]=>[[.,.],[.,[.,[[.,.],.]]]]=>[[[[.,[.,.]],.],.],[.,.]]
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[5,1,2,7,4,6,3]=>[5,1,2,4,6,3]=>[[.,.],[.,[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],.],[.,.]]
[5,1,2,7,6,3,4]=>[5,1,2,6,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],.],[.,.]]
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[5,1,3,2,6,4,7]=>[5,1,3,2,6,4]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,1,3,2,6,7,4]=>[5,1,3,2,6,4]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,1,3,2,7,4,6]=>[5,1,3,2,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[.,.]]
[5,1,3,2,7,6,4]=>[5,1,3,2,6,4]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,1,3,4,2,6,7]=>[5,1,3,4,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[.,.],[[.,.],.]],[.,.]]
[5,1,3,4,2,7,6]=>[5,1,3,4,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[.,.],[[.,.],.]],[.,.]]
[5,1,3,4,6,2,7]=>[5,1,3,4,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,4,6,7,2]=>[5,1,3,4,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,4,7,2,6]=>[5,1,3,4,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[.,.],[[.,.],.]],[.,.]]
[5,1,3,4,7,6,2]=>[5,1,3,4,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,6,2,4,7]=>[5,1,3,6,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[.,.],[[.,.],.]],[.,.]]
[5,1,3,6,2,7,4]=>[5,1,3,6,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[.,.],[[.,.],.]],[.,.]]
[5,1,3,6,4,2,7]=>[5,1,3,6,4,2]=>[[.,.],[[.,[[.,.],.]],.]]=>[[.,[[.,[.,.]],.]],[.,.]]
[5,1,3,6,4,7,2]=>[5,1,3,6,4,2]=>[[.,.],[[.,[[.,.],.]],.]]=>[[.,[[.,[.,.]],.]],[.,.]]
[5,1,3,6,7,2,4]=>[5,1,3,6,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[.,.],[[.,.],.]],[.,.]]
[5,1,3,6,7,4,2]=>[5,1,3,6,4,2]=>[[.,.],[[.,[[.,.],.]],.]]=>[[.,[[.,[.,.]],.]],[.,.]]
[5,1,3,7,2,4,6]=>[5,1,3,2,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[.,.]]
[5,1,3,7,2,6,4]=>[5,1,3,2,6,4]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,1,3,7,4,2,6]=>[5,1,3,4,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[.,.],[[.,.],.]],[.,.]]
[5,1,3,7,4,6,2]=>[5,1,3,4,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,7,6,2,4]=>[5,1,3,6,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[.,.],[[.,.],.]],[.,.]]
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[5,1,7,3,4,2,6]=>[5,1,3,4,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[.,.],[[.,.],.]],[.,.]]
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[5,2,1,6,4,7,3]=>[5,2,1,6,4,3]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
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[5,2,4,1,7,6,3]=>[5,2,4,1,6,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
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[5,2,4,3,7,6,1]=>[5,2,4,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[5,2,4,6,1,3,7]=>[5,2,4,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[5,2,4,6,1,7,3]=>[5,2,4,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[5,2,4,6,3,1,7]=>[5,2,4,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]=>[.,[[.,[[.,.],.]],[.,.]]]
[5,2,4,6,3,7,1]=>[5,2,4,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]=>[.,[[.,[[.,.],.]],[.,.]]]
[5,2,4,6,7,1,3]=>[5,2,4,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[5,2,4,6,7,3,1]=>[5,2,4,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]=>[.,[[.,[[.,.],.]],[.,.]]]
[5,2,4,7,1,3,6]=>[5,2,4,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[5,2,4,7,1,6,3]=>[5,2,4,1,6,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,2,4,7,3,1,6]=>[5,2,4,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,2,4,7,3,6,1]=>[5,2,4,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[5,2,4,7,6,1,3]=>[5,2,4,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[5,2,4,7,6,3,1]=>[5,2,4,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]=>[.,[[.,[[.,.],.]],[.,.]]]
[5,2,6,1,3,4,7]=>[5,2,6,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[5,2,6,1,3,7,4]=>[5,2,6,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[5,2,6,1,4,3,7]=>[5,2,6,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,2,6,1,4,7,3]=>[5,2,6,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,2,6,1,7,3,4]=>[5,2,6,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[5,2,6,1,7,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,2,6,3,1,4,7]=>[5,2,6,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,2,6,3,1,7,4]=>[5,2,6,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,2,6,3,4,1,7]=>[5,2,6,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[5,2,6,3,4,7,1]=>[5,2,6,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[5,2,6,3,7,1,4]=>[5,2,6,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,2,6,3,7,4,1]=>[5,2,6,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[5,2,6,4,1,3,7]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,2,6,4,1,7,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,2,6,4,3,1,7]=>[5,2,6,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]=>[.,[[.,[.,[.,.]]],[.,.]]]
[5,2,6,4,3,7,1]=>[5,2,6,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]=>[.,[[.,[.,[.,.]]],[.,.]]]
[5,2,6,4,7,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,2,6,4,7,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]=>[.,[[.,[.,[.,.]]],[.,.]]]
[5,2,6,7,1,3,4]=>[5,2,6,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[5,2,6,7,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,2,6,7,3,1,4]=>[5,2,6,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,2,6,7,3,4,1]=>[5,2,6,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[5,2,6,7,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,2,6,7,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]=>[.,[[.,[.,[.,.]]],[.,.]]]
[5,2,7,1,3,4,6]=>[5,2,1,3,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[5,2,7,1,3,6,4]=>[5,2,1,3,6,4]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[5,2,7,1,4,3,6]=>[5,2,1,4,3,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,2,7,1,4,6,3]=>[5,2,1,4,6,3]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,2,7,1,6,3,4]=>[5,2,1,6,3,4]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,2,7,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,2,7,3,1,4,6]=>[5,2,3,1,4,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[5,2,7,3,1,6,4]=>[5,2,3,1,6,4]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,2,7,3,4,1,6]=>[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[5,2,7,3,4,6,1]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]=>[.,[[[[.,.],.],.],[.,.]]]
[5,2,7,3,6,1,4]=>[5,2,3,6,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[5,2,7,3,6,4,1]=>[5,2,3,6,4,1]=>[[[.,.],[.,[[.,.],.]]],.]=>[.,[[[.,[.,.]],.],[.,.]]]
[5,2,7,4,1,3,6]=>[5,2,4,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[5,2,7,4,1,6,3]=>[5,2,4,1,6,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,2,7,4,3,1,6]=>[5,2,4,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,2,7,4,3,6,1]=>[5,2,4,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[5,2,7,4,6,1,3]=>[5,2,4,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[5,2,7,4,6,3,1]=>[5,2,4,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]=>[.,[[.,[[.,.],.]],[.,.]]]
[5,2,7,6,1,3,4]=>[5,2,6,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[5,2,7,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,2,7,6,3,1,4]=>[5,2,6,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,2,7,6,3,4,1]=>[5,2,6,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[5,2,7,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,2,7,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]=>[.,[[.,[.,[.,.]]],[.,.]]]
[5,3,1,2,4,6,7]=>[5,3,1,2,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[5,3,1,2,4,7,6]=>[5,3,1,2,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[5,3,1,2,6,4,7]=>[5,3,1,2,6,4]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[5,3,1,2,6,7,4]=>[5,3,1,2,6,4]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[5,3,1,2,7,4,6]=>[5,3,1,2,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[5,3,1,2,7,6,4]=>[5,3,1,2,6,4]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[5,3,1,4,2,6,7]=>[5,3,1,4,2,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,3,1,4,2,7,6]=>[5,3,1,4,2,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,3,1,4,6,2,7]=>[5,3,1,4,6,2]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,3,1,4,6,7,2]=>[5,3,1,4,6,2]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,3,1,4,7,2,6]=>[5,3,1,4,2,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,3,1,4,7,6,2]=>[5,3,1,4,6,2]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,3,1,6,2,4,7]=>[5,3,1,6,2,4]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,3,1,6,2,7,4]=>[5,3,1,6,2,4]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,3,1,6,4,2,7]=>[5,3,1,6,4,2]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,3,1,6,4,7,2]=>[5,3,1,6,4,2]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,3,1,6,7,2,4]=>[5,3,1,6,2,4]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,3,1,6,7,4,2]=>[5,3,1,6,4,2]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,3,1,7,2,4,6]=>[5,3,1,2,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[5,3,1,7,2,6,4]=>[5,3,1,2,6,4]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[5,3,1,7,4,2,6]=>[5,3,1,4,2,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,3,1,7,4,6,2]=>[5,3,1,4,6,2]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,3,1,7,6,2,4]=>[5,3,1,6,2,4]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,3,1,7,6,4,2]=>[5,3,1,6,4,2]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,3,2,1,4,6,7]=>[5,3,2,1,4,6]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,3,2,1,4,7,6]=>[5,3,2,1,4,6]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,3,2,1,6,4,7]=>[5,3,2,1,6,4]=>[[[[.,.],.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,3,2,1,6,7,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,3,2,1,7,4,6]=>[5,3,2,1,4,6]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,3,2,1,7,6,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,3,2,4,1,6,7]=>[5,3,2,4,1,6]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,3,2,4,1,7,6]=>[5,3,2,4,1,6]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,3,2,4,6,1,7]=>[5,3,2,4,6,1]=>[[[[.,.],.],[.,[.,.]]],.]=>[.,[[[.,.],.],[.,[.,.]]]]
[5,3,2,4,6,7,1]=>[5,3,2,4,6,1]=>[[[[.,.],.],[.,[.,.]]],.]=>[.,[[[.,.],.],[.,[.,.]]]]
[5,3,2,4,7,1,6]=>[5,3,2,4,1,6]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,3,2,4,7,6,1]=>[5,3,2,4,6,1]=>[[[[.,.],.],[.,[.,.]]],.]=>[.,[[[.,.],.],[.,[.,.]]]]
[5,3,2,6,1,4,7]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,3,2,6,1,7,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,3,2,6,4,1,7]=>[5,3,2,6,4,1]=>[[[[.,.],.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,[.,.]]]]
[5,3,2,6,4,7,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,[.,.]]]]
[5,3,2,6,7,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,3,2,6,7,4,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,[.,.]]]]
[5,3,2,7,1,4,6]=>[5,3,2,1,4,6]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,3,2,7,1,6,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,3,2,7,4,1,6]=>[5,3,2,4,1,6]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,3,2,7,4,6,1]=>[5,3,2,4,6,1]=>[[[[.,.],.],[.,[.,.]]],.]=>[.,[[[.,.],.],[.,[.,.]]]]
[5,3,2,7,6,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,3,2,7,6,4,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,[.,.]]]]
[5,3,4,1,2,6,7]=>[5,3,4,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[5,3,4,1,2,7,6]=>[5,3,4,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[5,3,4,1,6,2,7]=>[5,3,4,1,6,2]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,3,4,1,6,7,2]=>[5,3,4,1,6,2]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,3,4,1,7,2,6]=>[5,3,4,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[5,3,4,1,7,6,2]=>[5,3,4,1,6,2]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,3,4,2,1,6,7]=>[5,3,4,2,1,6]=>[[[[.,.],[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,3,4,2,1,7,6]=>[5,3,4,2,1,6]=>[[[[.,.],[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,3,4,2,6,1,7]=>[5,3,4,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],[.,.]]]]
[5,3,4,2,6,7,1]=>[5,3,4,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],[.,.]]]]
[5,3,4,2,7,1,6]=>[5,3,4,2,1,6]=>[[[[.,.],[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,3,4,2,7,6,1]=>[5,3,4,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],[.,.]]]]
[5,3,4,6,1,2,7]=>[5,3,4,6,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
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[5,3,4,6,2,1,7]=>[5,3,4,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]=>[.,[.,[[[.,.],.],[.,.]]]]
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[5,3,4,7,1,2,6]=>[5,3,4,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
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[5,3,6,1,2,7,4]=>[5,3,6,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
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[5,3,6,1,4,7,2]=>[5,3,6,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
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[5,3,7,1,2,6,4]=>[5,3,1,2,6,4]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[5,3,7,1,4,2,6]=>[5,3,1,4,2,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,3,7,1,4,6,2]=>[5,3,1,4,6,2]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,3,7,1,6,2,4]=>[5,3,1,6,2,4]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,3,7,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,3,7,2,1,4,6]=>[5,3,2,1,4,6]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[.,.]]]]
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[5,3,7,4,2,1,6]=>[5,3,4,2,1,6]=>[[[[.,.],[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],[.,.]]]]
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[5,3,7,6,1,2,4]=>[5,3,6,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
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[5,3,7,6,2,1,4]=>[5,3,6,2,1,4]=>[[[[.,.],[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],[.,.]]]]
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[5,4,1,2,3,7,6]=>[5,4,1,2,3,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[5,4,1,2,6,3,7]=>[5,4,1,2,6,3]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[5,4,1,2,6,7,3]=>[5,4,1,2,6,3]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[5,4,1,2,7,3,6]=>[5,4,1,2,3,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[5,4,1,2,7,6,3]=>[5,4,1,2,6,3]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
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[5,4,1,3,2,7,6]=>[5,4,1,3,2,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,4,1,3,6,2,7]=>[5,4,1,3,6,2]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
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[5,4,1,3,7,2,6]=>[5,4,1,3,2,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,4,1,3,7,6,2]=>[5,4,1,3,6,2]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,4,1,6,2,3,7]=>[5,4,1,6,2,3]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,4,1,6,2,7,3]=>[5,4,1,6,2,3]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,4,1,6,3,2,7]=>[5,4,1,6,3,2]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
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[5,4,1,6,7,2,3]=>[5,4,1,6,2,3]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
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[5,4,1,7,2,3,6]=>[5,4,1,2,3,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[5,4,1,7,2,6,3]=>[5,4,1,2,6,3]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[5,4,1,7,3,2,6]=>[5,4,1,3,2,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,4,1,7,3,6,2]=>[5,4,1,3,6,2]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,4,1,7,6,2,3]=>[5,4,1,6,2,3]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,4,1,7,6,3,2]=>[5,4,1,6,3,2]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
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[5,4,2,1,3,7,6]=>[5,4,2,1,3,6]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,4,2,1,6,3,7]=>[5,4,2,1,6,3]=>[[[[.,.],.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,4,2,1,6,7,3]=>[5,4,2,1,6,3]=>[[[[.,.],.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,4,2,1,7,3,6]=>[5,4,2,1,3,6]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,4,2,1,7,6,3]=>[5,4,2,1,6,3]=>[[[[.,.],.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,[.,.]]]]
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[5,4,2,3,1,7,6]=>[5,4,2,3,1,6]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
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[5,4,2,7,1,6,3]=>[5,4,2,1,6,3]=>[[[[.,.],.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,[.,.]]]]
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[5,4,3,1,2,7,6]=>[5,4,3,1,2,6]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,4,3,1,6,2,7]=>[5,4,3,1,6,2]=>[[[[.,.],.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,[.,.]]]]
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[5,4,3,1,7,2,6]=>[5,4,3,1,2,6]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[.,.]]]]
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[5,4,3,2,7,6,1]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],[.,.]],.]=>[.,[[.,.],[.,[.,[.,.]]]]]
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[5,4,3,7,2,6,1]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],[.,.]],.]=>[.,[[.,.],[.,[.,[.,.]]]]]
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[5,4,3,7,6,2,1]=>[5,4,3,6,2,1]=>[[[[[.,.],.],[.,.]],.],.]=>[.,[.,[[.,.],[.,[.,.]]]]]
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[5,4,6,1,2,7,3]=>[5,4,6,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[5,4,6,1,3,2,7]=>[5,4,6,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,4,6,1,3,7,2]=>[5,4,6,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,4,6,1,7,2,3]=>[5,4,6,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[5,4,6,1,7,3,2]=>[5,4,6,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
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[5,4,6,2,3,1,7]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],[.,.]]]]
[5,4,6,2,3,7,1]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],[.,.]]]]
[5,4,6,2,7,1,3]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,4,6,2,7,3,1]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],[.,.]]]]
[5,4,6,3,1,2,7]=>[5,4,6,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,4,6,3,1,7,2]=>[5,4,6,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,4,6,3,2,1,7]=>[5,4,6,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]=>[.,[.,[.,[[.,.],[.,.]]]]]
[5,4,6,3,2,7,1]=>[5,4,6,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]=>[.,[.,[.,[[.,.],[.,.]]]]]
[5,4,6,3,7,1,2]=>[5,4,6,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,4,6,3,7,2,1]=>[5,4,6,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]=>[.,[.,[.,[[.,.],[.,.]]]]]
[5,4,6,7,1,2,3]=>[5,4,6,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[5,4,6,7,1,3,2]=>[5,4,6,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,4,6,7,2,1,3]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,4,6,7,2,3,1]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],[.,.]]]]
[5,4,6,7,3,1,2]=>[5,4,6,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,4,6,7,3,2,1]=>[5,4,6,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]=>[.,[.,[.,[[.,.],[.,.]]]]]
[5,4,7,1,2,3,6]=>[5,4,1,2,3,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[5,4,7,1,2,6,3]=>[5,4,1,2,6,3]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[5,4,7,1,3,2,6]=>[5,4,1,3,2,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,4,7,1,3,6,2]=>[5,4,1,3,6,2]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,4,7,1,6,2,3]=>[5,4,1,6,2,3]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,4,7,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,4,7,2,1,3,6]=>[5,4,2,1,3,6]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,4,7,2,1,6,3]=>[5,4,2,1,6,3]=>[[[[.,.],.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,4,7,2,3,1,6]=>[5,4,2,3,1,6]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,4,7,2,3,6,1]=>[5,4,2,3,6,1]=>[[[[.,.],.],[.,[.,.]]],.]=>[.,[[[.,.],.],[.,[.,.]]]]
[5,4,7,2,6,1,3]=>[5,4,2,6,1,3]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,4,7,2,6,3,1]=>[5,4,2,6,3,1]=>[[[[.,.],.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,[.,.]]]]
[5,4,7,3,1,2,6]=>[5,4,3,1,2,6]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,4,7,3,1,6,2]=>[5,4,3,1,6,2]=>[[[[.,.],.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,4,7,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]=>[[.,.],[.,[.,[.,[.,.]]]]]
[5,4,7,3,2,6,1]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],[.,.]],.]=>[.,[[.,.],[.,[.,[.,.]]]]]
[5,4,7,3,6,1,2]=>[5,4,3,6,1,2]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,4,7,3,6,2,1]=>[5,4,3,6,2,1]=>[[[[[.,.],.],[.,.]],.],.]=>[.,[.,[[.,.],[.,[.,.]]]]]
[5,4,7,6,1,2,3]=>[5,4,6,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[5,4,7,6,1,3,2]=>[5,4,6,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,4,7,6,2,1,3]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,4,7,6,2,3,1]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],[.,.]]]]
[5,4,7,6,3,1,2]=>[5,4,6,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,4,7,6,3,2,1]=>[5,4,6,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]=>[.,[.,[.,[[.,.],[.,.]]]]]
[5,6,1,2,3,4,7]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,.],.]]
[5,6,1,2,3,7,4]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,.],.]]
[5,6,1,2,4,3,7]=>[5,6,1,2,4,3]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,1,2,4,7,3]=>[5,6,1,2,4,3]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,1,2,7,3,4]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,.],.]]
[5,6,1,2,7,4,3]=>[5,6,1,2,4,3]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,1,3,2,4,7]=>[5,6,1,3,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[5,6,1,3,2,7,4]=>[5,6,1,3,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[5,6,1,3,4,2,7]=>[5,6,1,3,4,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[[.,.],.]]
[5,6,1,3,4,7,2]=>[5,6,1,3,4,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[[.,.],.]]
[5,6,1,3,7,2,4]=>[5,6,1,3,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[5,6,1,3,7,4,2]=>[5,6,1,3,4,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[[.,.],.]]
[5,6,1,4,2,3,7]=>[5,6,1,4,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[5,6,1,4,2,7,3]=>[5,6,1,4,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[5,6,1,4,3,2,7]=>[5,6,1,4,3,2]=>[[.,[.,.]],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[[.,.],.]]
[5,6,1,4,3,7,2]=>[5,6,1,4,3,2]=>[[.,[.,.]],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[[.,.],.]]
[5,6,1,4,7,2,3]=>[5,6,1,4,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[5,6,1,4,7,3,2]=>[5,6,1,4,3,2]=>[[.,[.,.]],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[[.,.],.]]
[5,6,1,7,2,3,4]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,.],.]]
[5,6,1,7,2,4,3]=>[5,6,1,2,4,3]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,1,7,3,2,4]=>[5,6,1,3,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[5,6,1,7,3,4,2]=>[5,6,1,3,4,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[[.,.],.]]
[5,6,1,7,4,2,3]=>[5,6,1,4,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[5,6,1,7,4,3,2]=>[5,6,1,4,3,2]=>[[.,[.,.]],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[[.,.],.]]
[5,6,2,1,3,4,7]=>[5,6,2,1,3,4]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[5,6,2,1,3,7,4]=>[5,6,2,1,3,4]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[5,6,2,1,4,3,7]=>[5,6,2,1,4,3]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,6,2,1,4,7,3]=>[5,6,2,1,4,3]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,6,2,1,7,3,4]=>[5,6,2,1,3,4]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[5,6,2,1,7,4,3]=>[5,6,2,1,4,3]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,6,2,3,1,4,7]=>[5,6,2,3,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,2,3,1,7,4]=>[5,6,2,3,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,2,3,4,1,7]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]=>[.,[[[.,.],.],[[.,.],.]]]
[5,6,2,3,4,7,1]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]=>[.,[[[.,.],.],[[.,.],.]]]
[5,6,2,3,7,1,4]=>[5,6,2,3,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,2,3,7,4,1]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]=>[.,[[[.,.],.],[[.,.],.]]]
[5,6,2,4,1,3,7]=>[5,6,2,4,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,2,4,1,7,3]=>[5,6,2,4,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,2,4,3,1,7]=>[5,6,2,4,3,1]=>[[[.,[.,.]],[[.,.],.]],.]=>[.,[[.,[.,.]],[[.,.],.]]]
[5,6,2,4,3,7,1]=>[5,6,2,4,3,1]=>[[[.,[.,.]],[[.,.],.]],.]=>[.,[[.,[.,.]],[[.,.],.]]]
[5,6,2,4,7,1,3]=>[5,6,2,4,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,2,4,7,3,1]=>[5,6,2,4,3,1]=>[[[.,[.,.]],[[.,.],.]],.]=>[.,[[.,[.,.]],[[.,.],.]]]
[5,6,2,7,1,3,4]=>[5,6,2,1,3,4]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[5,6,2,7,1,4,3]=>[5,6,2,1,4,3]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,6,2,7,3,1,4]=>[5,6,2,3,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,2,7,3,4,1]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]=>[.,[[[.,.],.],[[.,.],.]]]
[5,6,2,7,4,1,3]=>[5,6,2,4,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,2,7,4,3,1]=>[5,6,2,4,3,1]=>[[[.,[.,.]],[[.,.],.]],.]=>[.,[[.,[.,.]],[[.,.],.]]]
[5,6,3,1,2,4,7]=>[5,6,3,1,2,4]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[5,6,3,1,2,7,4]=>[5,6,3,1,2,4]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[5,6,3,1,4,2,7]=>[5,6,3,1,4,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,6,3,1,4,7,2]=>[5,6,3,1,4,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,6,3,1,7,2,4]=>[5,6,3,1,2,4]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[5,6,3,1,7,4,2]=>[5,6,3,1,4,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,6,3,2,1,4,7]=>[5,6,3,2,1,4]=>[[[[.,[.,.]],.],.],[.,.]]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,3,2,1,7,4]=>[5,6,3,2,1,4]=>[[[[.,[.,.]],.],.],[.,.]]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,3,2,4,1,7]=>[5,6,3,2,4,1]=>[[[[.,[.,.]],.],[.,.]],.]=>[.,[[.,.],[.,[[.,.],.]]]]
[5,6,3,2,4,7,1]=>[5,6,3,2,4,1]=>[[[[.,[.,.]],.],[.,.]],.]=>[.,[[.,.],[.,[[.,.],.]]]]
[5,6,3,2,7,1,4]=>[5,6,3,2,1,4]=>[[[[.,[.,.]],.],.],[.,.]]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,3,2,7,4,1]=>[5,6,3,2,4,1]=>[[[[.,[.,.]],.],[.,.]],.]=>[.,[[.,.],[.,[[.,.],.]]]]
[5,6,3,4,1,2,7]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,3,4,1,7,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,3,4,2,1,7]=>[5,6,3,4,2,1]=>[[[[.,[.,.]],[.,.]],.],.]=>[.,[.,[[.,.],[[.,.],.]]]]
[5,6,3,4,2,7,1]=>[5,6,3,4,2,1]=>[[[[.,[.,.]],[.,.]],.],.]=>[.,[.,[[.,.],[[.,.],.]]]]
[5,6,3,4,7,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,3,4,7,2,1]=>[5,6,3,4,2,1]=>[[[[.,[.,.]],[.,.]],.],.]=>[.,[.,[[.,.],[[.,.],.]]]]
[5,6,3,7,1,2,4]=>[5,6,3,1,2,4]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[5,6,3,7,1,4,2]=>[5,6,3,1,4,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,6,3,7,2,1,4]=>[5,6,3,2,1,4]=>[[[[.,[.,.]],.],.],[.,.]]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,3,7,2,4,1]=>[5,6,3,2,4,1]=>[[[[.,[.,.]],.],[.,.]],.]=>[.,[[.,.],[.,[[.,.],.]]]]
[5,6,3,7,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,3,7,4,2,1]=>[5,6,3,4,2,1]=>[[[[.,[.,.]],[.,.]],.],.]=>[.,[.,[[.,.],[[.,.],.]]]]
[5,6,4,1,2,3,7]=>[5,6,4,1,2,3]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[5,6,4,1,2,7,3]=>[5,6,4,1,2,3]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[5,6,4,1,3,2,7]=>[5,6,4,1,3,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,6,4,1,3,7,2]=>[5,6,4,1,3,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,6,4,1,7,2,3]=>[5,6,4,1,2,3]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[5,6,4,1,7,3,2]=>[5,6,4,1,3,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,6,4,2,1,3,7]=>[5,6,4,2,1,3]=>[[[[.,[.,.]],.],.],[.,.]]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,4,2,1,7,3]=>[5,6,4,2,1,3]=>[[[[.,[.,.]],.],.],[.,.]]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,4,2,3,1,7]=>[5,6,4,2,3,1]=>[[[[.,[.,.]],.],[.,.]],.]=>[.,[[.,.],[.,[[.,.],.]]]]
[5,6,4,2,3,7,1]=>[5,6,4,2,3,1]=>[[[[.,[.,.]],.],[.,.]],.]=>[.,[[.,.],[.,[[.,.],.]]]]
[5,6,4,2,7,1,3]=>[5,6,4,2,1,3]=>[[[[.,[.,.]],.],.],[.,.]]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,4,2,7,3,1]=>[5,6,4,2,3,1]=>[[[[.,[.,.]],.],[.,.]],.]=>[.,[[.,.],[.,[[.,.],.]]]]
[5,6,4,3,1,2,7]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,4,3,1,7,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,4,3,2,1,7]=>[5,6,4,3,2,1]=>[[[[[.,[.,.]],.],.],.],.]=>[.,[.,[.,[.,[[.,.],.]]]]]
[5,6,4,3,2,7,1]=>[5,6,4,3,2,1]=>[[[[[.,[.,.]],.],.],.],.]=>[.,[.,[.,[.,[[.,.],.]]]]]
[5,6,4,3,7,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,4,3,7,2,1]=>[5,6,4,3,2,1]=>[[[[[.,[.,.]],.],.],.],.]=>[.,[.,[.,[.,[[.,.],.]]]]]
[5,6,4,7,1,2,3]=>[5,6,4,1,2,3]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[5,6,4,7,1,3,2]=>[5,6,4,1,3,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,6,4,7,2,1,3]=>[5,6,4,2,1,3]=>[[[[.,[.,.]],.],.],[.,.]]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,4,7,2,3,1]=>[5,6,4,2,3,1]=>[[[[.,[.,.]],.],[.,.]],.]=>[.,[[.,.],[.,[[.,.],.]]]]
[5,6,4,7,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,4,7,3,2,1]=>[5,6,4,3,2,1]=>[[[[[.,[.,.]],.],.],.],.]=>[.,[.,[.,[.,[[.,.],.]]]]]
[5,6,7,1,2,3,4]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,.],.]]
[5,6,7,1,2,4,3]=>[5,6,1,2,4,3]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,7,1,3,2,4]=>[5,6,1,3,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[5,6,7,1,3,4,2]=>[5,6,1,3,4,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[[.,.],.]]
[5,6,7,1,4,2,3]=>[5,6,1,4,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[5,6,7,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[.,.]],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[[.,.],.]]
[5,6,7,2,1,3,4]=>[5,6,2,1,3,4]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[5,6,7,2,1,4,3]=>[5,6,2,1,4,3]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,6,7,2,3,1,4]=>[5,6,2,3,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,7,2,3,4,1]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]=>[.,[[[.,.],.],[[.,.],.]]]
[5,6,7,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,7,2,4,3,1]=>[5,6,2,4,3,1]=>[[[.,[.,.]],[[.,.],.]],.]=>[.,[[.,[.,.]],[[.,.],.]]]
[5,6,7,3,1,2,4]=>[5,6,3,1,2,4]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[5,6,7,3,1,4,2]=>[5,6,3,1,4,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,6,7,3,2,1,4]=>[5,6,3,2,1,4]=>[[[[.,[.,.]],.],.],[.,.]]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,7,3,2,4,1]=>[5,6,3,2,4,1]=>[[[[.,[.,.]],.],[.,.]],.]=>[.,[[.,.],[.,[[.,.],.]]]]
[5,6,7,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,7,3,4,2,1]=>[5,6,3,4,2,1]=>[[[[.,[.,.]],[.,.]],.],.]=>[.,[.,[[.,.],[[.,.],.]]]]
[5,6,7,4,1,2,3]=>[5,6,4,1,2,3]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[5,6,7,4,1,3,2]=>[5,6,4,1,3,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,6,7,4,2,1,3]=>[5,6,4,2,1,3]=>[[[[.,[.,.]],.],.],[.,.]]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,7,4,2,3,1]=>[5,6,4,2,3,1]=>[[[[.,[.,.]],.],[.,.]],.]=>[.,[[.,.],[.,[[.,.],.]]]]
[5,6,7,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,7,4,3,2,1]=>[5,6,4,3,2,1]=>[[[[[.,[.,.]],.],.],.],.]=>[.,[.,[.,[.,[[.,.],.]]]]]
[5,7,1,2,3,4,6]=>[5,1,2,3,4,6]=>[[.,.],[.,[.,[.,[.,.]]]]]=>[[[[[.,.],.],.],.],[.,.]]
[5,7,1,2,3,6,4]=>[5,1,2,3,6,4]=>[[.,.],[.,[.,[[.,.],.]]]]=>[[[[.,[.,.]],.],.],[.,.]]
[5,7,1,2,4,3,6]=>[5,1,2,4,3,6]=>[[.,.],[.,[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],.],[.,.]]
[5,7,1,2,4,6,3]=>[5,1,2,4,6,3]=>[[.,.],[.,[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],.],[.,.]]
[5,7,1,2,6,3,4]=>[5,1,2,6,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],.],[.,.]]
[5,7,1,2,6,4,3]=>[5,1,2,6,4,3]=>[[.,.],[.,[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],.],[.,.]]
[5,7,1,3,2,4,6]=>[5,1,3,2,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[.,.]]
[5,7,1,3,2,6,4]=>[5,1,3,2,6,4]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,7,1,3,4,2,6]=>[5,1,3,4,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,1,3,4,6,2]=>[5,1,3,4,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]=>[[.,[[[.,.],.],.]],[.,.]]
[5,7,1,3,6,2,4]=>[5,1,3,6,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,1,3,6,4,2]=>[5,1,3,6,4,2]=>[[.,.],[[.,[[.,.],.]],.]]=>[[.,[[.,[.,.]],.]],[.,.]]
[5,7,1,4,2,3,6]=>[5,1,4,2,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[.,.]]
[5,7,1,4,2,6,3]=>[5,1,4,2,6,3]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,7,1,4,3,2,6]=>[5,1,4,3,2,6]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,7,1,4,3,6,2]=>[5,1,4,3,6,2]=>[[.,.],[[[.,.],[.,.]],.]]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,7,1,4,6,2,3]=>[5,1,4,6,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,1,4,6,3,2]=>[5,1,4,6,3,2]=>[[.,.],[[[.,[.,.]],.],.]]=>[[.,[.,[[.,.],.]]],[.,.]]
[5,7,1,6,2,3,4]=>[5,1,6,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[.,.]]
[5,7,1,6,2,4,3]=>[5,1,6,2,4,3]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,7,1,6,3,2,4]=>[5,1,6,3,2,4]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,7,1,6,3,4,2]=>[5,1,6,3,4,2]=>[[.,.],[[[.,.],[.,.]],.]]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,7,1,6,4,2,3]=>[5,1,6,4,2,3]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]=>[[.,[.,[.,[.,.]]]],[.,.]]
[5,7,2,1,3,4,6]=>[5,2,1,3,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[5,7,2,1,3,6,4]=>[5,2,1,3,6,4]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[5,7,2,1,4,3,6]=>[5,2,1,4,3,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,7,2,1,4,6,3]=>[5,2,1,4,6,3]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,7,2,1,6,3,4]=>[5,2,1,6,3,4]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,7,2,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,7,2,3,1,4,6]=>[5,2,3,1,4,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[5,7,2,3,1,6,4]=>[5,2,3,1,6,4]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,7,2,3,4,1,6]=>[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[5,7,2,3,4,6,1]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]=>[.,[[[[.,.],.],.],[.,.]]]
[5,7,2,3,6,1,4]=>[5,2,3,6,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[5,7,2,3,6,4,1]=>[5,2,3,6,4,1]=>[[[.,.],[.,[[.,.],.]]],.]=>[.,[[[.,[.,.]],.],[.,.]]]
[5,7,2,4,1,3,6]=>[5,2,4,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[5,7,2,4,1,6,3]=>[5,2,4,1,6,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,7,2,4,3,1,6]=>[5,2,4,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,7,2,4,3,6,1]=>[5,2,4,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[5,7,2,4,6,1,3]=>[5,2,4,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[5,7,2,4,6,3,1]=>[5,2,4,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]=>[.,[[.,[[.,.],.]],[.,.]]]
[5,7,2,6,1,3,4]=>[5,2,6,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[5,7,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,7,2,6,3,1,4]=>[5,2,6,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,7,2,6,3,4,1]=>[5,2,6,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[5,7,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,7,2,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]=>[.,[[.,[.,[.,.]]],[.,.]]]
[5,7,3,1,2,4,6]=>[5,3,1,2,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[5,7,3,1,2,6,4]=>[5,3,1,2,6,4]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[5,7,3,1,4,2,6]=>[5,3,1,4,2,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,7,3,1,4,6,2]=>[5,3,1,4,6,2]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,7,3,1,6,2,4]=>[5,3,1,6,2,4]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,7,3,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,7,3,2,1,4,6]=>[5,3,2,1,4,6]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,7,3,2,1,6,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,7,3,2,4,1,6]=>[5,3,2,4,1,6]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,7,3,2,4,6,1]=>[5,3,2,4,6,1]=>[[[[.,.],.],[.,[.,.]]],.]=>[.,[[[.,.],.],[.,[.,.]]]]
[5,7,3,2,6,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,7,3,2,6,4,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,[.,.]]]]
[5,7,3,4,1,2,6]=>[5,3,4,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[5,7,3,4,1,6,2]=>[5,3,4,1,6,2]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,7,3,4,2,1,6]=>[5,3,4,2,1,6]=>[[[[.,.],[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,7,3,4,2,6,1]=>[5,3,4,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],[.,.]]]]
[5,7,3,4,6,1,2]=>[5,3,4,6,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[5,7,3,4,6,2,1]=>[5,3,4,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]=>[.,[.,[[[.,.],.],[.,.]]]]
[5,7,3,6,1,2,4]=>[5,3,6,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[5,7,3,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,7,3,6,2,1,4]=>[5,3,6,2,1,4]=>[[[[.,.],[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,7,3,6,2,4,1]=>[5,3,6,2,4,1]=>[[[[.,.],[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],[.,.]]]]
[5,7,3,6,4,1,2]=>[5,3,6,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,7,3,6,4,2,1]=>[5,3,6,4,2,1]=>[[[[.,.],[[.,.],.]],.],.]=>[.,[.,[[.,[.,.]],[.,.]]]]
[5,7,4,1,2,3,6]=>[5,4,1,2,3,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[5,7,4,1,2,6,3]=>[5,4,1,2,6,3]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[5,7,4,1,3,2,6]=>[5,4,1,3,2,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,7,4,1,3,6,2]=>[5,4,1,3,6,2]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,7,4,1,6,2,3]=>[5,4,1,6,2,3]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,7,4,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,7,4,2,1,3,6]=>[5,4,2,1,3,6]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,7,4,2,1,6,3]=>[5,4,2,1,6,3]=>[[[[.,.],.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,7,4,2,3,1,6]=>[5,4,2,3,1,6]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,7,4,2,3,6,1]=>[5,4,2,3,6,1]=>[[[[.,.],.],[.,[.,.]]],.]=>[.,[[[.,.],.],[.,[.,.]]]]
[5,7,4,2,6,1,3]=>[5,4,2,6,1,3]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,7,4,2,6,3,1]=>[5,4,2,6,3,1]=>[[[[.,.],.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,[.,.]]]]
[5,7,4,3,1,2,6]=>[5,4,3,1,2,6]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,7,4,3,1,6,2]=>[5,4,3,1,6,2]=>[[[[.,.],.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,7,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]=>[[.,.],[.,[.,[.,[.,.]]]]]
[5,7,4,3,2,6,1]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],[.,.]],.]=>[.,[[.,.],[.,[.,[.,.]]]]]
[5,7,4,3,6,1,2]=>[5,4,3,6,1,2]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,7,4,3,6,2,1]=>[5,4,3,6,2,1]=>[[[[[.,.],.],[.,.]],.],.]=>[.,[.,[[.,.],[.,[.,.]]]]]
[5,7,4,6,1,2,3]=>[5,4,6,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[5,7,4,6,1,3,2]=>[5,4,6,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,7,4,6,2,1,3]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,7,4,6,2,3,1]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],[.,.]]]]
[5,7,4,6,3,1,2]=>[5,4,6,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,7,4,6,3,2,1]=>[5,4,6,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]=>[.,[.,[.,[[.,.],[.,.]]]]]
[5,7,6,1,2,3,4]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,.],.]]
[5,7,6,1,2,4,3]=>[5,6,1,2,4,3]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[[.,.],.]]
[5,7,6,1,3,2,4]=>[5,6,1,3,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[5,7,6,1,3,4,2]=>[5,6,1,3,4,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[[.,.],.]]
[5,7,6,1,4,2,3]=>[5,6,1,4,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[5,7,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[.,.]],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[[.,.],.]]
[5,7,6,2,1,3,4]=>[5,6,2,1,3,4]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
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[6,1,7,4,5,3,2]=>[6,1,4,5,3,2]=>[[.,.],[[[.,[.,.]],.],.]]=>[[.,[.,[[.,.],.]]],[.,.]]
[6,1,7,5,2,3,4]=>[6,1,5,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[.,.]]
[6,1,7,5,2,4,3]=>[6,1,5,2,4,3]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[.,[.,.]],[.,.]],[.,.]]
[6,1,7,5,3,2,4]=>[6,1,5,3,2,4]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[.,.],[.,[.,.]]],[.,.]]
[6,1,7,5,3,4,2]=>[6,1,5,3,4,2]=>[[.,.],[[[.,.],[.,.]],.]]=>[[.,[[.,.],[.,.]]],[.,.]]
[6,1,7,5,4,2,3]=>[6,1,5,4,2,3]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[.,.],[.,[.,.]]],[.,.]]
[6,1,7,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]=>[[.,[.,[.,[.,.]]]],[.,.]]
[6,2,1,3,4,5,7]=>[6,2,1,3,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[6,2,1,3,4,7,5]=>[6,2,1,3,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[6,2,1,3,5,4,7]=>[6,2,1,3,5,4]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,2,1,3,5,7,4]=>[6,2,1,3,5,4]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,2,1,3,7,4,5]=>[6,2,1,3,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[6,2,1,3,7,5,4]=>[6,2,1,3,5,4]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,2,1,4,3,5,7]=>[6,2,1,4,3,5]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,2,1,4,3,7,5]=>[6,2,1,4,3,5]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,2,1,4,5,3,7]=>[6,2,1,4,5,3]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,2,1,4,5,7,3]=>[6,2,1,4,5,3]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,2,1,4,7,3,5]=>[6,2,1,4,3,5]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,2,1,4,7,5,3]=>[6,2,1,4,5,3]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,2,1,5,3,4,7]=>[6,2,1,5,3,4]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,2,1,5,3,7,4]=>[6,2,1,5,3,4]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,2,1,5,4,3,7]=>[6,2,1,5,4,3]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,2,1,5,4,7,3]=>[6,2,1,5,4,3]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,2,1,5,7,3,4]=>[6,2,1,5,3,4]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,2,1,5,7,4,3]=>[6,2,1,5,4,3]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,2,1,7,3,4,5]=>[6,2,1,3,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[6,2,1,7,3,5,4]=>[6,2,1,3,5,4]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,2,1,7,4,3,5]=>[6,2,1,4,3,5]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,2,1,7,4,5,3]=>[6,2,1,4,5,3]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,2,1,7,5,3,4]=>[6,2,1,5,3,4]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,2,1,7,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,2,3,1,4,5,7]=>[6,2,3,1,4,5]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[6,2,3,1,4,7,5]=>[6,2,3,1,4,5]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[6,2,3,1,5,4,7]=>[6,2,3,1,5,4]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,3,1,5,7,4]=>[6,2,3,1,5,4]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,3,1,7,4,5]=>[6,2,3,1,4,5]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[6,2,3,1,7,5,4]=>[6,2,3,1,5,4]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,3,4,1,5,7]=>[6,2,3,4,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[6,2,3,4,1,7,5]=>[6,2,3,4,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[6,2,3,4,5,1,7]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]=>[.,[[[[.,.],.],.],[.,.]]]
[6,2,3,4,5,7,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]=>[.,[[[[.,.],.],.],[.,.]]]
[6,2,3,4,7,1,5]=>[6,2,3,4,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[6,2,3,4,7,5,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]=>[.,[[[[.,.],.],.],[.,.]]]
[6,2,3,5,1,4,7]=>[6,2,3,5,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[6,2,3,5,1,7,4]=>[6,2,3,5,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[6,2,3,5,4,1,7]=>[6,2,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],.]=>[.,[[[.,[.,.]],.],[.,.]]]
[6,2,3,5,4,7,1]=>[6,2,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],.]=>[.,[[[.,[.,.]],.],[.,.]]]
[6,2,3,5,7,1,4]=>[6,2,3,5,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[6,2,3,5,7,4,1]=>[6,2,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],.]=>[.,[[[.,[.,.]],.],[.,.]]]
[6,2,3,7,1,4,5]=>[6,2,3,1,4,5]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[6,2,3,7,1,5,4]=>[6,2,3,1,5,4]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,3,7,4,1,5]=>[6,2,3,4,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[6,2,3,7,4,5,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]=>[.,[[[[.,.],.],.],[.,.]]]
[6,2,3,7,5,1,4]=>[6,2,3,5,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[6,2,3,7,5,4,1]=>[6,2,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],.]=>[.,[[[.,[.,.]],.],[.,.]]]
[6,2,4,1,3,5,7]=>[6,2,4,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[6,2,4,1,3,7,5]=>[6,2,4,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[6,2,4,1,5,3,7]=>[6,2,4,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,4,1,5,7,3]=>[6,2,4,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,4,1,7,3,5]=>[6,2,4,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[6,2,4,1,7,5,3]=>[6,2,4,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,4,3,1,5,7]=>[6,2,4,3,1,5]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,2,4,3,1,7,5]=>[6,2,4,3,1,5]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,2,4,3,5,1,7]=>[6,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,2,4,3,5,7,1]=>[6,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,2,4,3,7,1,5]=>[6,2,4,3,1,5]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,2,4,3,7,5,1]=>[6,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,2,4,5,1,3,7]=>[6,2,4,5,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[6,2,4,5,1,7,3]=>[6,2,4,5,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[6,2,4,5,3,1,7]=>[6,2,4,5,3,1]=>[[[.,.],[[.,[.,.]],.]],.]=>[.,[[.,[[.,.],.]],[.,.]]]
[6,2,4,5,3,7,1]=>[6,2,4,5,3,1]=>[[[.,.],[[.,[.,.]],.]],.]=>[.,[[.,[[.,.],.]],[.,.]]]
[6,2,4,5,7,1,3]=>[6,2,4,5,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[6,2,4,5,7,3,1]=>[6,2,4,5,3,1]=>[[[.,.],[[.,[.,.]],.]],.]=>[.,[[.,[[.,.],.]],[.,.]]]
[6,2,4,7,1,3,5]=>[6,2,4,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[6,2,4,7,1,5,3]=>[6,2,4,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,4,7,3,1,5]=>[6,2,4,3,1,5]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,2,4,7,3,5,1]=>[6,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,2,4,7,5,1,3]=>[6,2,4,5,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[6,2,4,7,5,3,1]=>[6,2,4,5,3,1]=>[[[.,.],[[.,[.,.]],.]],.]=>[.,[[.,[[.,.],.]],[.,.]]]
[6,2,5,1,3,4,7]=>[6,2,5,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[6,2,5,1,3,7,4]=>[6,2,5,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[6,2,5,1,4,3,7]=>[6,2,5,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,5,1,4,7,3]=>[6,2,5,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,5,1,7,3,4]=>[6,2,5,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[6,2,5,1,7,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,5,3,1,4,7]=>[6,2,5,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,2,5,3,1,7,4]=>[6,2,5,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,2,5,3,4,1,7]=>[6,2,5,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,2,5,3,4,7,1]=>[6,2,5,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,2,5,3,7,1,4]=>[6,2,5,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,2,5,3,7,4,1]=>[6,2,5,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,2,5,4,1,3,7]=>[6,2,5,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,2,5,4,1,7,3]=>[6,2,5,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,2,5,4,3,1,7]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,2,5,4,3,7,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,2,5,4,7,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,2,5,4,7,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,2,5,7,1,3,4]=>[6,2,5,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[6,2,5,7,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,5,7,3,1,4]=>[6,2,5,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,2,5,7,3,4,1]=>[6,2,5,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,2,5,7,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,2,5,7,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,2,7,1,3,4,5]=>[6,2,1,3,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[6,2,7,1,3,5,4]=>[6,2,1,3,5,4]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,2,7,1,4,3,5]=>[6,2,1,4,3,5]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,2,7,1,4,5,3]=>[6,2,1,4,5,3]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,2,7,1,5,3,4]=>[6,2,1,5,3,4]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,2,7,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,2,7,3,1,4,5]=>[6,2,3,1,4,5]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[6,2,7,3,1,5,4]=>[6,2,3,1,5,4]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,7,3,4,1,5]=>[6,2,3,4,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[6,2,7,3,4,5,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]=>[.,[[[[.,.],.],.],[.,.]]]
[6,2,7,3,5,1,4]=>[6,2,3,5,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[6,2,7,3,5,4,1]=>[6,2,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],.]=>[.,[[[.,[.,.]],.],[.,.]]]
[6,2,7,4,1,3,5]=>[6,2,4,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[6,2,7,4,1,5,3]=>[6,2,4,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,7,4,3,1,5]=>[6,2,4,3,1,5]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,2,7,4,3,5,1]=>[6,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,2,7,4,5,1,3]=>[6,2,4,5,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[6,2,7,4,5,3,1]=>[6,2,4,5,3,1]=>[[[.,.],[[.,[.,.]],.]],.]=>[.,[[.,[[.,.],.]],[.,.]]]
[6,2,7,5,1,3,4]=>[6,2,5,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[6,2,7,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,7,5,3,1,4]=>[6,2,5,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,2,7,5,3,4,1]=>[6,2,5,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,2,7,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,2,7,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,3,1,2,4,5,7]=>[6,3,1,2,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[6,3,1,2,4,7,5]=>[6,3,1,2,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
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[6,3,1,2,5,7,4]=>[6,3,1,2,5,4]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,3,1,2,7,4,5]=>[6,3,1,2,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[6,3,1,2,7,5,4]=>[6,3,1,2,5,4]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,3,1,4,2,5,7]=>[6,3,1,4,2,5]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,3,1,4,2,7,5]=>[6,3,1,4,2,5]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,3,1,4,5,2,7]=>[6,3,1,4,5,2]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,3,1,4,5,7,2]=>[6,3,1,4,5,2]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,3,1,4,7,2,5]=>[6,3,1,4,2,5]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,3,1,4,7,5,2]=>[6,3,1,4,5,2]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,3,1,5,2,4,7]=>[6,3,1,5,2,4]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,3,1,5,2,7,4]=>[6,3,1,5,2,4]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
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[6,3,1,5,7,2,4]=>[6,3,1,5,2,4]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
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[6,3,1,7,5,2,4]=>[6,3,1,5,2,4]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,3,1,7,5,4,2]=>[6,3,1,5,4,2]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,3,2,1,4,5,7]=>[6,3,2,1,4,5]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[.,.]]]]
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[6,3,2,1,7,4,5]=>[6,3,2,1,4,5]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,3,2,1,7,5,4]=>[6,3,2,1,5,4]=>[[[[.,.],.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,[.,.]]]]
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[6,3,4,1,2,7,5]=>[6,3,4,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[6,3,4,1,5,2,7]=>[6,3,4,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
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[6,3,4,1,7,2,5]=>[6,3,4,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[6,3,4,1,7,5,2]=>[6,3,4,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
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[6,3,7,5,2,1,4]=>[6,3,5,2,1,4]=>[[[[.,.],[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],[.,.]]]]
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[6,4,1,2,3,7,5]=>[6,4,1,2,3,5]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[6,4,1,2,5,3,7]=>[6,4,1,2,5,3]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,4,1,2,5,7,3]=>[6,4,1,2,5,3]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,4,1,2,7,3,5]=>[6,4,1,2,3,5]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[6,4,1,2,7,5,3]=>[6,4,1,2,5,3]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,4,1,3,2,5,7]=>[6,4,1,3,2,5]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,4,1,3,2,7,5]=>[6,4,1,3,2,5]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,4,1,3,5,2,7]=>[6,4,1,3,5,2]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,4,1,3,5,7,2]=>[6,4,1,3,5,2]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,4,1,3,7,2,5]=>[6,4,1,3,2,5]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,4,1,3,7,5,2]=>[6,4,1,3,5,2]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
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[6,4,1,7,5,2,3]=>[6,4,1,5,2,3]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
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[6,5,1,2,4,7,3]=>[6,5,1,2,4,3]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
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[6,5,1,7,4,2,3]=>[6,5,1,4,2,3]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
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[7,3,4,6,2,1,5]=>[3,4,6,2,1,5]=>[[[.,[.,[.,.]]],.],[.,.]]=>[[.,.],[.,[[[.,.],.],.]]]
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[7,3,4,6,5,2,1]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]=>[.,[.,[[[.,[.,.]],.],.]]]
[7,3,5,1,2,4,6]=>[3,5,1,2,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,.],.]]
[7,3,5,1,2,6,4]=>[3,5,1,2,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[[.,.],.]]
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[7,3,5,1,4,6,2]=>[3,5,1,4,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[[.,.],.]]
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[7,3,5,2,1,4,6]=>[3,5,2,1,4,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[7,3,5,2,1,6,4]=>[3,5,2,1,6,4]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
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[7,3,5,2,6,4,1]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]=>[.,[[.,[.,.]],[[.,.],.]]]
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[7,3,5,4,6,2,1]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]=>[.,[.,[[[.,.],[.,.]],.]]]
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[7,3,5,6,1,4,2]=>[3,5,6,1,4,2]=>[[.,[.,[.,.]]],[[.,.],.]]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,5,6,2,1,4]=>[3,5,6,2,1,4]=>[[[.,[.,[.,.]]],.],[.,.]]=>[[.,.],[.,[[[.,.],.],.]]]
[7,3,5,6,2,4,1]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]=>[.,[[.,.],[[[.,.],.],.]]]
[7,3,5,6,4,1,2]=>[3,5,6,4,1,2]=>[[.,[[.,[.,.]],.]],[.,.]]=>[[.,.],[[.,[[.,.],.]],.]]
[7,3,5,6,4,2,1]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]=>[.,[.,[[.,[[.,.],.]],.]]]
[7,3,6,1,2,4,5]=>[3,6,1,2,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,.],.]]
[7,3,6,1,2,5,4]=>[3,6,1,2,5,4]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[[.,.],.]]
[7,3,6,1,4,2,5]=>[3,6,1,4,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[7,3,6,1,4,5,2]=>[3,6,1,4,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[[.,.],.]]
[7,3,6,1,5,2,4]=>[3,6,1,5,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[7,3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[[.,.],.]]
[7,3,6,2,1,4,5]=>[3,6,2,1,4,5]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[7,3,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[7,3,6,2,4,1,5]=>[3,6,2,4,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[7,3,6,2,4,5,1]=>[3,6,2,4,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]=>[.,[[[.,.],.],[[.,.],.]]]
[7,3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[7,3,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,[.,.]],[[.,.],.]],.]=>[.,[[.,[.,.]],[[.,.],.]]]
[7,3,6,4,1,2,5]=>[3,6,4,1,2,5]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,.]],.]]
[7,3,6,4,1,5,2]=>[3,6,4,1,5,2]=>[[.,[[.,.],.]],[[.,.],.]]=>[[.,[.,.]],[[.,[.,.]],.]]
[7,3,6,4,2,1,5]=>[3,6,4,2,1,5]=>[[[.,[[.,.],.]],.],[.,.]]=>[[.,.],[.,[[.,[.,.]],.]]]
[7,3,6,4,2,5,1]=>[3,6,4,2,5,1]=>[[[.,[[.,.],.]],[.,.]],.]=>[.,[[.,.],[[.,[.,.]],.]]]
[7,3,6,4,5,1,2]=>[3,6,4,5,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]=>[[.,.],[[[.,.],[.,.]],.]]
[7,3,6,4,5,2,1]=>[3,6,4,5,2,1]=>[[[.,[[.,.],[.,.]]],.],.]=>[.,[.,[[[.,.],[.,.]],.]]]
[7,3,6,5,1,2,4]=>[3,6,5,1,2,4]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,.]],.]]
[7,3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[[.,.],.]],[[.,.],.]]=>[[.,[.,.]],[[.,[.,.]],.]]
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[7,3,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,[[[.,.],.],.]],.],.]=>[.,[.,[[.,[.,[.,.]]],.]]]
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[7,4,1,5,3,6,2]=>[4,1,5,3,6,2]=>[[.,.],[[[.,.],[.,.]],.]]=>[[.,[[.,.],[.,.]]],[.,.]]
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[7,4,1,6,5,2,3]=>[4,1,6,5,2,3]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[.,.],[.,[.,.]]],[.,.]]
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[7,4,2,1,3,6,5]=>[4,2,1,3,6,5]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[7,4,2,1,5,3,6]=>[4,2,1,5,3,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,4,2,1,5,6,3]=>[4,2,1,5,6,3]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[7,4,2,1,6,3,5]=>[4,2,1,6,3,5]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,4,2,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
[7,4,2,3,1,5,6]=>[4,2,3,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[7,4,2,3,1,6,5]=>[4,2,3,1,6,5]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
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[7,4,2,5,1,3,6]=>[4,2,5,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[7,4,2,5,1,6,3]=>[4,2,5,1,6,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
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[7,4,2,5,6,1,3]=>[4,2,5,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[7,4,2,5,6,3,1]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]=>[.,[[.,[[.,.],.]],[.,.]]]
[7,4,2,6,1,3,5]=>[4,2,6,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[7,4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[7,4,2,6,3,1,5]=>[4,2,6,3,1,5]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
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[7,4,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
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[7,4,3,1,2,6,5]=>[4,3,1,2,6,5]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[7,4,3,1,5,2,6]=>[4,3,1,5,2,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,4,3,1,5,6,2]=>[4,3,1,5,6,2]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[7,4,3,1,6,2,5]=>[4,3,1,6,2,5]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,4,3,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
[7,4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[.,.]]]]
[7,4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,[.,.]]]]
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[7,4,3,5,1,2,6]=>[4,3,5,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
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[7,4,3,5,2,1,6]=>[4,3,5,2,1,6]=>[[[[.,.],[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],[.,.]]]]
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[7,4,3,6,2,1,5]=>[4,3,6,2,1,5]=>[[[[.,.],[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],[.,.]]]]
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[7,4,3,6,5,2,1]=>[4,3,6,5,2,1]=>[[[[.,.],[[.,.],.]],.],.]=>[.,[.,[[.,[.,.]],[.,.]]]]
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[7,4,5,1,2,6,3]=>[4,5,1,2,6,3]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[[.,.],.]]
[7,4,5,1,3,2,6]=>[4,5,1,3,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,5,1,3,6,2]=>[4,5,1,3,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,5,1,6,2,3]=>[4,5,1,6,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,5,1,6,3,2]=>[4,5,1,6,3,2]=>[[.,[.,.]],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[[.,.],.]]
[7,4,5,2,1,3,6]=>[4,5,2,1,3,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[7,4,5,2,1,6,3]=>[4,5,2,1,6,3]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[7,4,5,2,3,1,6]=>[4,5,2,3,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[7,4,5,2,3,6,1]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]=>[.,[[[.,.],.],[[.,.],.]]]
[7,4,5,2,6,1,3]=>[4,5,2,6,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[7,4,5,2,6,3,1]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]=>[.,[[.,[.,.]],[[.,.],.]]]
[7,4,5,3,1,2,6]=>[4,5,3,1,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[7,4,5,3,1,6,2]=>[4,5,3,1,6,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[7,4,5,3,2,1,6]=>[4,5,3,2,1,6]=>[[[[.,[.,.]],.],.],[.,.]]=>[[.,.],[.,[.,[[.,.],.]]]]
[7,4,5,3,2,6,1]=>[4,5,3,2,6,1]=>[[[[.,[.,.]],.],[.,.]],.]=>[.,[[.,.],[.,[[.,.],.]]]]
[7,4,5,3,6,1,2]=>[4,5,3,6,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[7,4,5,3,6,2,1]=>[4,5,3,6,2,1]=>[[[[.,[.,.]],[.,.]],.],.]=>[.,[.,[[.,.],[[.,.],.]]]]
[7,4,5,6,1,2,3]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>[[[.,.],.],[[[.,.],.],.]]
[7,4,5,6,1,3,2]=>[4,5,6,1,3,2]=>[[.,[.,[.,.]]],[[.,.],.]]=>[[.,[.,.]],[[[.,.],.],.]]
[7,4,5,6,2,1,3]=>[4,5,6,2,1,3]=>[[[.,[.,[.,.]]],.],[.,.]]=>[[.,.],[.,[[[.,.],.],.]]]
[7,4,5,6,2,3,1]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]=>[.,[[.,.],[[[.,.],.],.]]]
[7,4,5,6,3,1,2]=>[4,5,6,3,1,2]=>[[[.,[.,[.,.]]],.],[.,.]]=>[[.,.],[.,[[[.,.],.],.]]]
[7,4,5,6,3,2,1]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]=>[.,[.,[.,[[[.,.],.],.]]]]
[7,4,6,1,2,3,5]=>[4,6,1,2,3,5]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,.],.]]
[7,4,6,1,2,5,3]=>[4,6,1,2,5,3]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[[.,.],.]]
[7,4,6,1,3,2,5]=>[4,6,1,3,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,6,1,3,5,2]=>[4,6,1,3,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,6,1,5,2,3]=>[4,6,1,5,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[.,.]],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[[.,.],.]]
[7,4,6,2,1,3,5]=>[4,6,2,1,3,5]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[7,4,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[7,4,6,2,3,1,5]=>[4,6,2,3,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[7,4,6,2,3,5,1]=>[4,6,2,3,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]=>[.,[[[.,.],.],[[.,.],.]]]
[7,4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[7,4,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,[.,.]],[[.,.],.]],.]=>[.,[[.,[.,.]],[[.,.],.]]]
[7,4,6,3,1,2,5]=>[4,6,3,1,2,5]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[7,4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[7,4,6,3,2,1,5]=>[4,6,3,2,1,5]=>[[[[.,[.,.]],.],.],[.,.]]=>[[.,.],[.,[.,[[.,.],.]]]]
[7,4,6,3,2,5,1]=>[4,6,3,2,5,1]=>[[[[.,[.,.]],.],[.,.]],.]=>[.,[[.,.],[.,[[.,.],.]]]]
[7,4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[7,4,6,3,5,2,1]=>[4,6,3,5,2,1]=>[[[[.,[.,.]],[.,.]],.],.]=>[.,[.,[[.,.],[[.,.],.]]]]
[7,4,6,5,1,2,3]=>[4,6,5,1,2,3]=>[[.,[[.,.],.]],[.,[.,.]]]=>[[[.,.],.],[[.,[.,.]],.]]
[7,4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]=>[[.,[.,.]],[[.,[.,.]],.]]
[7,4,6,5,2,1,3]=>[4,6,5,2,1,3]=>[[[.,[[.,.],.]],.],[.,.]]=>[[.,.],[.,[[.,[.,.]],.]]]
[7,4,6,5,2,3,1]=>[4,6,5,2,3,1]=>[[[.,[[.,.],.]],[.,.]],.]=>[.,[[.,.],[[.,[.,.]],.]]]
[7,4,6,5,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[[.,.],.]],.],[.,.]]=>[[.,.],[.,[[.,[.,.]],.]]]
[7,4,6,5,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,[[.,.],.]],.],.],.]=>[.,[.,[.,[[.,[.,.]],.]]]]
[7,5,1,2,3,4,6]=>[5,1,2,3,4,6]=>[[.,.],[.,[.,[.,[.,.]]]]]=>[[[[[.,.],.],.],.],[.,.]]
[7,5,1,2,3,6,4]=>[5,1,2,3,6,4]=>[[.,.],[.,[.,[[.,.],.]]]]=>[[[[.,[.,.]],.],.],[.,.]]
[7,5,1,2,4,3,6]=>[5,1,2,4,3,6]=>[[.,.],[.,[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],.],[.,.]]
[7,5,1,2,4,6,3]=>[5,1,2,4,6,3]=>[[.,.],[.,[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],.],[.,.]]
[7,5,1,2,6,3,4]=>[5,1,2,6,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],.],[.,.]]
[7,5,1,2,6,4,3]=>[5,1,2,6,4,3]=>[[.,.],[.,[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],.],[.,.]]
[7,5,1,3,2,4,6]=>[5,1,3,2,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[.,.]]
[7,5,1,3,2,6,4]=>[5,1,3,2,6,4]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,5,1,3,4,2,6]=>[5,1,3,4,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,1,3,4,6,2]=>[5,1,3,4,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]=>[[.,[[[.,.],.],.]],[.,.]]
[7,5,1,3,6,2,4]=>[5,1,3,6,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,1,3,6,4,2]=>[5,1,3,6,4,2]=>[[.,.],[[.,[[.,.],.]],.]]=>[[.,[[.,[.,.]],.]],[.,.]]
[7,5,1,4,2,3,6]=>[5,1,4,2,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[.,.]]
[7,5,1,4,2,6,3]=>[5,1,4,2,6,3]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,5,1,4,3,2,6]=>[5,1,4,3,2,6]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[.,.],[.,[.,.]]],[.,.]]
[7,5,1,4,3,6,2]=>[5,1,4,3,6,2]=>[[.,.],[[[.,.],[.,.]],.]]=>[[.,[[.,.],[.,.]]],[.,.]]
[7,5,1,4,6,2,3]=>[5,1,4,6,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,1,4,6,3,2]=>[5,1,4,6,3,2]=>[[.,.],[[[.,[.,.]],.],.]]=>[[.,[.,[[.,.],.]]],[.,.]]
[7,5,1,6,2,3,4]=>[5,1,6,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[.,.]]
[7,5,1,6,2,4,3]=>[5,1,6,2,4,3]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,5,1,6,3,2,4]=>[5,1,6,3,2,4]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[.,.],[.,[.,.]]],[.,.]]
[7,5,1,6,3,4,2]=>[5,1,6,3,4,2]=>[[.,.],[[[.,.],[.,.]],.]]=>[[.,[[.,.],[.,.]]],[.,.]]
[7,5,1,6,4,2,3]=>[5,1,6,4,2,3]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[.,.],[.,[.,.]]],[.,.]]
[7,5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]=>[[.,[.,[.,[.,.]]]],[.,.]]
[7,5,2,1,3,4,6]=>[5,2,1,3,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[7,5,2,1,3,6,4]=>[5,2,1,3,6,4]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[7,5,2,1,4,3,6]=>[5,2,1,4,3,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,5,2,1,4,6,3]=>[5,2,1,4,6,3]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[7,5,2,1,6,3,4]=>[5,2,1,6,3,4]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,5,2,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
[7,5,2,3,1,4,6]=>[5,2,3,1,4,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[7,5,2,3,1,6,4]=>[5,2,3,1,6,4]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[7,5,2,3,4,1,6]=>[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[7,5,2,3,4,6,1]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]=>[.,[[[[.,.],.],.],[.,.]]]
[7,5,2,3,6,1,4]=>[5,2,3,6,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[7,5,2,3,6,4,1]=>[5,2,3,6,4,1]=>[[[.,.],[.,[[.,.],.]]],.]=>[.,[[[.,[.,.]],.],[.,.]]]
[7,5,2,4,1,3,6]=>[5,2,4,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[7,5,2,4,1,6,3]=>[5,2,4,1,6,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[7,5,2,4,3,1,6]=>[5,2,4,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[7,5,2,4,3,6,1]=>[5,2,4,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[7,5,2,4,6,1,3]=>[5,2,4,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[7,5,2,4,6,3,1]=>[5,2,4,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]=>[.,[[.,[[.,.],.]],[.,.]]]
[7,5,2,6,1,3,4]=>[5,2,6,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[7,5,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[7,5,2,6,3,1,4]=>[5,2,6,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[7,5,2,6,3,4,1]=>[5,2,6,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[7,5,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[7,5,2,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]=>[.,[[.,[.,[.,.]]],[.,.]]]
[7,5,3,1,2,4,6]=>[5,3,1,2,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[7,5,3,1,2,6,4]=>[5,3,1,2,6,4]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[7,5,3,1,4,2,6]=>[5,3,1,4,2,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,5,3,1,4,6,2]=>[5,3,1,4,6,2]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[7,5,3,1,6,2,4]=>[5,3,1,6,2,4]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,5,3,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
[7,5,3,2,1,4,6]=>[5,3,2,1,4,6]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[.,.]]]]
[7,5,3,2,1,6,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,[.,.]]]]
[7,5,3,2,4,1,6]=>[5,3,2,4,1,6]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[7,5,3,2,4,6,1]=>[5,3,2,4,6,1]=>[[[[.,.],.],[.,[.,.]]],.]=>[.,[[[.,.],.],[.,[.,.]]]]
[7,5,3,2,6,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[7,5,3,2,6,4,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,[.,.]]]]
[7,5,3,4,1,2,6]=>[5,3,4,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[7,5,3,4,1,6,2]=>[5,3,4,1,6,2]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[7,5,3,4,2,1,6]=>[5,3,4,2,1,6]=>[[[[.,.],[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],[.,.]]]]
[7,5,3,4,2,6,1]=>[5,3,4,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],[.,.]]]]
[7,5,3,4,6,1,2]=>[5,3,4,6,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[7,5,3,4,6,2,1]=>[5,3,4,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]=>[.,[.,[[[.,.],.],[.,.]]]]
[7,5,3,6,1,2,4]=>[5,3,6,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[7,5,3,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[7,5,3,6,2,1,4]=>[5,3,6,2,1,4]=>[[[[.,.],[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],[.,.]]]]
[7,5,3,6,2,4,1]=>[5,3,6,2,4,1]=>[[[[.,.],[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],[.,.]]]]
[7,5,3,6,4,1,2]=>[5,3,6,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[7,5,3,6,4,2,1]=>[5,3,6,4,2,1]=>[[[[.,.],[[.,.],.]],.],.]=>[.,[.,[[.,[.,.]],[.,.]]]]
[7,5,4,1,2,3,6]=>[5,4,1,2,3,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[7,5,4,1,2,6,3]=>[5,4,1,2,6,3]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[7,5,4,1,3,2,6]=>[5,4,1,3,2,6]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,5,4,1,3,6,2]=>[5,4,1,3,6,2]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[7,5,4,1,6,2,3]=>[5,4,1,6,2,3]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,5,4,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
[7,5,4,2,1,3,6]=>[5,4,2,1,3,6]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[.,.]]]]
[7,5,4,2,1,6,3]=>[5,4,2,1,6,3]=>[[[[.,.],.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,[.,.]]]]
[7,5,4,2,3,1,6]=>[5,4,2,3,1,6]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[7,5,4,2,3,6,1]=>[5,4,2,3,6,1]=>[[[[.,.],.],[.,[.,.]]],.]=>[.,[[[.,.],.],[.,[.,.]]]]
[7,5,4,2,6,1,3]=>[5,4,2,6,1,3]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[7,5,4,2,6,3,1]=>[5,4,2,6,3,1]=>[[[[.,.],.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,[.,.]]]]
[7,5,4,3,1,2,6]=>[5,4,3,1,2,6]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[.,.]]]]
[7,5,4,3,1,6,2]=>[5,4,3,1,6,2]=>[[[[.,.],.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,[.,.]]]]
[7,5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]=>[[.,.],[.,[.,[.,[.,.]]]]]
[7,5,4,3,2,6,1]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],[.,.]],.]=>[.,[[.,.],[.,[.,[.,.]]]]]
[7,5,4,3,6,1,2]=>[5,4,3,6,1,2]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[7,5,4,3,6,2,1]=>[5,4,3,6,2,1]=>[[[[[.,.],.],[.,.]],.],.]=>[.,[.,[[.,.],[.,[.,.]]]]]
[7,5,4,6,1,2,3]=>[5,4,6,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[7,5,4,6,1,3,2]=>[5,4,6,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[7,5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],[.,.]]]]
[7,5,4,6,2,3,1]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],[.,.]]]]
[7,5,4,6,3,1,2]=>[5,4,6,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],[.,.]]]]
[7,5,4,6,3,2,1]=>[5,4,6,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]=>[.,[.,[.,[[.,.],[.,.]]]]]
[7,5,6,1,2,3,4]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[.,.],.]]
[7,5,6,1,2,4,3]=>[5,6,1,2,4,3]=>[[.,[.,.]],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[[.,.],.]]
[7,5,6,1,3,2,4]=>[5,6,1,3,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[7,5,6,1,3,4,2]=>[5,6,1,3,4,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[[.,.],.]]
[7,5,6,1,4,2,3]=>[5,6,1,4,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,.],.]]
[7,5,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[.,.]],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[[.,.],.]]
[7,5,6,2,1,3,4]=>[5,6,2,1,3,4]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[7,5,6,2,1,4,3]=>[5,6,2,1,4,3]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[7,5,6,2,3,1,4]=>[5,6,2,3,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[7,5,6,2,3,4,1]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]=>[.,[[[.,.],.],[[.,.],.]]]
[7,5,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[7,5,6,2,4,3,1]=>[5,6,2,4,3,1]=>[[[.,[.,.]],[[.,.],.]],.]=>[.,[[.,[.,.]],[[.,.],.]]]
[7,5,6,3,1,2,4]=>[5,6,3,1,2,4]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[7,5,6,3,1,4,2]=>[5,6,3,1,4,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[7,5,6,3,2,1,4]=>[5,6,3,2,1,4]=>[[[[.,[.,.]],.],.],[.,.]]=>[[.,.],[.,[.,[[.,.],.]]]]
[7,5,6,3,2,4,1]=>[5,6,3,2,4,1]=>[[[[.,[.,.]],.],[.,.]],.]=>[.,[[.,.],[.,[[.,.],.]]]]
[7,5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],.]]]
[7,5,6,3,4,2,1]=>[5,6,3,4,2,1]=>[[[[.,[.,.]],[.,.]],.],.]=>[.,[.,[[.,.],[[.,.],.]]]]
[7,5,6,4,1,2,3]=>[5,6,4,1,2,3]=>[[[.,[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],.]]]
[7,5,6,4,1,3,2]=>[5,6,4,1,3,2]=>[[[.,[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],.]]]
[7,5,6,4,2,1,3]=>[5,6,4,2,1,3]=>[[[[.,[.,.]],.],.],[.,.]]=>[[.,.],[.,[.,[[.,.],.]]]]
[7,5,6,4,2,3,1]=>[5,6,4,2,3,1]=>[[[[.,[.,.]],.],[.,.]],.]=>[.,[[.,.],[.,[[.,.],.]]]]
[7,5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]=>[[.,.],[.,[.,[[.,.],.]]]]
[7,5,6,4,3,2,1]=>[5,6,4,3,2,1]=>[[[[[.,[.,.]],.],.],.],.]=>[.,[.,[.,[.,[[.,.],.]]]]]
[7,6,1,2,3,4,5]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]=>[[[[[.,.],.],.],.],[.,.]]
[7,6,1,2,3,5,4]=>[6,1,2,3,5,4]=>[[.,.],[.,[.,[[.,.],.]]]]=>[[[[.,[.,.]],.],.],[.,.]]
[7,6,1,2,4,3,5]=>[6,1,2,4,3,5]=>[[.,.],[.,[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],.],[.,.]]
[7,6,1,2,4,5,3]=>[6,1,2,4,5,3]=>[[.,.],[.,[[.,[.,.]],.]]]=>[[[.,[[.,.],.]],.],[.,.]]
[7,6,1,2,5,3,4]=>[6,1,2,5,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],.],[.,.]]
[7,6,1,2,5,4,3]=>[6,1,2,5,4,3]=>[[.,.],[.,[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],.],[.,.]]
[7,6,1,3,2,4,5]=>[6,1,3,2,4,5]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[.,.]]
[7,6,1,3,2,5,4]=>[6,1,3,2,5,4]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,6,1,3,4,2,5]=>[6,1,3,4,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[.,.],[[.,.],.]],[.,.]]
[7,6,1,3,4,5,2]=>[6,1,3,4,5,2]=>[[.,.],[[.,[.,[.,.]]],.]]=>[[.,[[[.,.],.],.]],[.,.]]
[7,6,1,3,5,2,4]=>[6,1,3,5,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[.,.],[[.,.],.]],[.,.]]
[7,6,1,3,5,4,2]=>[6,1,3,5,4,2]=>[[.,.],[[.,[[.,.],.]],.]]=>[[.,[[.,[.,.]],.]],[.,.]]
[7,6,1,4,2,3,5]=>[6,1,4,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[.,.]]
[7,6,1,4,2,5,3]=>[6,1,4,2,5,3]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,6,1,4,3,2,5]=>[6,1,4,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[.,.],[.,[.,.]]],[.,.]]
[7,6,1,4,3,5,2]=>[6,1,4,3,5,2]=>[[.,.],[[[.,.],[.,.]],.]]=>[[.,[[.,.],[.,.]]],[.,.]]
[7,6,1,4,5,2,3]=>[6,1,4,5,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]=>[[[.,.],[[.,.],.]],[.,.]]
[7,6,1,4,5,3,2]=>[6,1,4,5,3,2]=>[[.,.],[[[.,[.,.]],.],.]]=>[[.,[.,[[.,.],.]]],[.,.]]
[7,6,1,5,2,3,4]=>[6,1,5,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[.,.]]
[7,6,1,5,2,4,3]=>[6,1,5,2,4,3]=>[[.,.],[[.,.],[[.,.],.]]]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,6,1,5,3,2,4]=>[6,1,5,3,2,4]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[.,.],[.,[.,.]]],[.,.]]
[7,6,1,5,3,4,2]=>[6,1,5,3,4,2]=>[[.,.],[[[.,.],[.,.]],.]]=>[[.,[[.,.],[.,.]]],[.,.]]
[7,6,1,5,4,2,3]=>[6,1,5,4,2,3]=>[[.,.],[[[.,.],.],[.,.]]]=>[[[.,.],[.,[.,.]]],[.,.]]
[7,6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]=>[[.,[.,[.,[.,.]]]],[.,.]]
[7,6,2,1,3,4,5]=>[6,2,1,3,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[7,6,2,1,3,5,4]=>[6,2,1,3,5,4]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[7,6,2,1,4,3,5]=>[6,2,1,4,3,5]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,6,2,1,4,5,3]=>[6,2,1,4,5,3]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[7,6,2,1,5,3,4]=>[6,2,1,5,3,4]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,6,2,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
[7,6,2,3,1,4,5]=>[6,2,3,1,4,5]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[7,6,2,3,1,5,4]=>[6,2,3,1,5,4]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[7,6,2,3,4,1,5]=>[6,2,3,4,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[7,6,2,3,4,5,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]=>[.,[[[[.,.],.],.],[.,.]]]
[7,6,2,3,5,1,4]=>[6,2,3,5,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[7,6,2,3,5,4,1]=>[6,2,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],.]=>[.,[[[.,[.,.]],.],[.,.]]]
[7,6,2,4,1,3,5]=>[6,2,4,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[7,6,2,4,1,5,3]=>[6,2,4,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[7,6,2,4,3,1,5]=>[6,2,4,3,1,5]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[7,6,2,4,3,5,1]=>[6,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[7,6,2,4,5,1,3]=>[6,2,4,5,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[7,6,2,4,5,3,1]=>[6,2,4,5,3,1]=>[[[.,.],[[.,[.,.]],.]],.]=>[.,[[.,[[.,.],.]],[.,.]]]
[7,6,2,5,1,3,4]=>[6,2,5,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[7,6,2,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[7,6,2,5,3,1,4]=>[6,2,5,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[7,6,2,5,3,4,1]=>[6,2,5,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[.,.]]]
[7,6,2,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[7,6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]=>[.,[[.,[.,[.,.]]],[.,.]]]
[7,6,3,1,2,4,5]=>[6,3,1,2,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[7,6,3,1,2,5,4]=>[6,3,1,2,5,4]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[7,6,3,1,4,2,5]=>[6,3,1,4,2,5]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,6,3,1,4,5,2]=>[6,3,1,4,5,2]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[7,6,3,1,5,2,4]=>[6,3,1,5,2,4]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,6,3,1,5,4,2]=>[6,3,1,5,4,2]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
[7,6,3,2,1,4,5]=>[6,3,2,1,4,5]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[.,.]]]]
[7,6,3,2,1,5,4]=>[6,3,2,1,5,4]=>[[[[.,.],.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,[.,.]]]]
[7,6,3,2,4,1,5]=>[6,3,2,4,1,5]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[7,6,3,2,4,5,1]=>[6,3,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],.]=>[.,[[[.,.],.],[.,[.,.]]]]
[7,6,3,2,5,1,4]=>[6,3,2,5,1,4]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[7,6,3,2,5,4,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,[.,.]]]]
[7,6,3,4,1,2,5]=>[6,3,4,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[7,6,3,4,1,5,2]=>[6,3,4,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[7,6,3,4,2,1,5]=>[6,3,4,2,1,5]=>[[[[.,.],[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],[.,.]]]]
[7,6,3,4,2,5,1]=>[6,3,4,2,5,1]=>[[[[.,.],[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],[.,.]]]]
[7,6,3,4,5,1,2]=>[6,3,4,5,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]=>[[.,.],[[[.,.],.],[.,.]]]
[7,6,3,4,5,2,1]=>[6,3,4,5,2,1]=>[[[[.,.],[.,[.,.]]],.],.]=>[.,[.,[[[.,.],.],[.,.]]]]
[7,6,3,5,1,2,4]=>[6,3,5,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[7,6,3,5,1,4,2]=>[6,3,5,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[7,6,3,5,2,1,4]=>[6,3,5,2,1,4]=>[[[[.,.],[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],[.,.]]]]
[7,6,3,5,2,4,1]=>[6,3,5,2,4,1]=>[[[[.,.],[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],[.,.]]]]
[7,6,3,5,4,1,2]=>[6,3,5,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,.]]]
[7,6,3,5,4,2,1]=>[6,3,5,4,2,1]=>[[[[.,.],[[.,.],.]],.],.]=>[.,[.,[[.,[.,.]],[.,.]]]]
[7,6,4,1,2,3,5]=>[6,4,1,2,3,5]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[7,6,4,1,2,5,3]=>[6,4,1,2,5,3]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[7,6,4,1,3,2,5]=>[6,4,1,3,2,5]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,6,4,1,3,5,2]=>[6,4,1,3,5,2]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[7,6,4,1,5,2,3]=>[6,4,1,5,2,3]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,6,4,1,5,3,2]=>[6,4,1,5,3,2]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
[7,6,4,2,1,3,5]=>[6,4,2,1,3,5]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[.,.]]]]
[7,6,4,2,1,5,3]=>[6,4,2,1,5,3]=>[[[[.,.],.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,[.,.]]]]
[7,6,4,2,3,1,5]=>[6,4,2,3,1,5]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[7,6,4,2,3,5,1]=>[6,4,2,3,5,1]=>[[[[.,.],.],[.,[.,.]]],.]=>[.,[[[.,.],.],[.,[.,.]]]]
[7,6,4,2,5,1,3]=>[6,4,2,5,1,3]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[7,6,4,2,5,3,1]=>[6,4,2,5,3,1]=>[[[[.,.],.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,[.,.]]]]
[7,6,4,3,1,2,5]=>[6,4,3,1,2,5]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[.,.]]]]
[7,6,4,3,1,5,2]=>[6,4,3,1,5,2]=>[[[[.,.],.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,[.,.]]]]
[7,6,4,3,2,1,5]=>[6,4,3,2,1,5]=>[[[[[.,.],.],.],.],[.,.]]=>[[.,.],[.,[.,[.,[.,.]]]]]
[7,6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]=>[.,[[.,.],[.,[.,[.,.]]]]]
[7,6,4,3,5,1,2]=>[6,4,3,5,1,2]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[7,6,4,3,5,2,1]=>[6,4,3,5,2,1]=>[[[[[.,.],.],[.,.]],.],.]=>[.,[.,[[.,.],[.,[.,.]]]]]
[7,6,4,5,1,2,3]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,.]]]
[7,6,4,5,1,3,2]=>[6,4,5,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,.]]]
[7,6,4,5,2,1,3]=>[6,4,5,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],[.,.]]]]
[7,6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],[.,.]]]]
[7,6,4,5,3,1,2]=>[6,4,5,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]=>[[.,.],[.,[[.,.],[.,.]]]]
[7,6,4,5,3,2,1]=>[6,4,5,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]=>[.,[.,[.,[[.,.],[.,.]]]]]
[7,6,5,1,2,3,4]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[.,[.,.]]]
[7,6,5,1,2,4,3]=>[6,5,1,2,4,3]=>[[[.,.],.],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[.,[.,.]]]
[7,6,5,1,3,2,4]=>[6,5,1,3,2,4]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,6,5,1,3,4,2]=>[6,5,1,3,4,2]=>[[[.,.],.],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[.,[.,.]]]
[7,6,5,1,4,2,3]=>[6,5,1,4,2,3]=>[[[.,.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,6,5,1,4,3,2]=>[6,5,1,4,3,2]=>[[[.,.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,.]]]
[7,6,5,2,1,3,4]=>[6,5,2,1,3,4]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[.,.]]]]
[7,6,5,2,1,4,3]=>[6,5,2,1,4,3]=>[[[[.,.],.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,[.,.]]]]
[7,6,5,2,3,1,4]=>[6,5,2,3,1,4]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[7,6,5,2,3,4,1]=>[6,5,2,3,4,1]=>[[[[.,.],.],[.,[.,.]]],.]=>[.,[[[.,.],.],[.,[.,.]]]]
[7,6,5,2,4,1,3]=>[6,5,2,4,1,3]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[7,6,5,2,4,3,1]=>[6,5,2,4,3,1]=>[[[[.,.],.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,[.,.]]]]
[7,6,5,3,1,2,4]=>[6,5,3,1,2,4]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[.,.]]]]
[7,6,5,3,1,4,2]=>[6,5,3,1,4,2]=>[[[[.,.],.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,[.,.]]]]
[7,6,5,3,2,1,4]=>[6,5,3,2,1,4]=>[[[[[.,.],.],.],.],[.,.]]=>[[.,.],[.,[.,[.,[.,.]]]]]
[7,6,5,3,2,4,1]=>[6,5,3,2,4,1]=>[[[[[.,.],.],.],[.,.]],.]=>[.,[[.,.],[.,[.,[.,.]]]]]
[7,6,5,3,4,1,2]=>[6,5,3,4,1,2]=>[[[[.,.],.],[.,.]],[.,.]]=>[[.,.],[[.,.],[.,[.,.]]]]
[7,6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]=>[.,[.,[[.,.],[.,[.,.]]]]]
[7,6,5,4,1,2,3]=>[6,5,4,1,2,3]=>[[[[.,.],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[.,.]]]]
[7,6,5,4,1,3,2]=>[6,5,4,1,3,2]=>[[[[.,.],.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,[.,.]]]]
[7,6,5,4,2,1,3]=>[6,5,4,2,1,3]=>[[[[[.,.],.],.],.],[.,.]]=>[[.,.],[.,[.,[.,[.,.]]]]]
[7,6,5,4,2,3,1]=>[6,5,4,2,3,1]=>[[[[[.,.],.],.],[.,.]],.]=>[.,[[.,.],[.,[.,[.,.]]]]]
[7,6,5,4,3,1,2]=>[6,5,4,3,1,2]=>[[[[[.,.],.],.],.],[.,.]]=>[[.,.],[.,[.,[.,[.,.]]]]]
[7,6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[8,7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,7,5,6,3,4,2,1]=>[7,5,6,3,4,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[8,6,7,5,4,2,3,1]=>[6,7,5,4,2,3,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[8,6,5,7,3,2,4,1]=>[6,5,7,3,2,4,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[8,5,6,7,2,3,4,1]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[7,8,6,5,4,3,1,2]=>[7,6,5,4,3,1,2]=>[[[[[[.,.],.],.],.],.],[.,.]]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[7,8,5,6,3,4,1,2]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,6,8,5,4,2,1,3]=>[7,6,5,4,2,1,3]=>[[[[[[.,.],.],.],.],.],[.,.]]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[6,7,8,5,4,1,2,3]=>[6,7,5,4,1,2,3]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[7,6,5,8,3,2,1,4]=>[7,6,5,3,2,1,4]=>[[[[[[.,.],.],.],.],.],[.,.]]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[7,5,6,8,2,3,1,4]=>[7,5,6,2,3,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,7,5,8,3,1,2,4]=>[6,7,5,3,1,2,4]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[6,5,7,8,2,1,3,4]=>[6,5,7,2,1,3,4]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[5,6,7,8,1,2,3,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,3,2,1,8,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[2,1,4,3,8,7,6,5]=>[2,1,4,3,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,1,8,5,4,7,6,3]=>[2,1,5,4,7,6,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[6,3,2,5,4,1,8,7]=>[6,3,2,5,4,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[8,3,2,5,4,7,6,1]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[8,3,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[8,5,4,3,2,7,6,1]=>[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[8,7,4,3,6,5,2,1]=>[7,4,3,6,5,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,1,4,3,7,8,5,6]=>[2,1,4,3,7,5,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,1,5,6,3,4,8,7]=>[2,1,5,6,3,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,1,5,7,3,8,4,6]=>[2,1,5,7,3,4,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,1,6,7,8,3,4,5]=>[2,1,6,7,3,4,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,4,1,2,6,5,8,7]=>[3,4,1,2,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,4,1,2,7,8,5,6]=>[3,4,1,2,7,5,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,5,1,6,2,4,8,7]=>[3,5,1,6,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,5,1,7,2,8,4,6]=>[3,5,1,7,2,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,6,1,7,8,2,4,5]=>[3,6,1,7,2,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,5,6,1,2,3,8,7]=>[4,5,6,1,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,7,1,2,8,3,6]=>[4,5,7,1,2,3,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,7,1,8,2,3,5]=>[4,6,7,1,2,3,5]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,3,2,6,1,4,8,7]=>[5,3,2,6,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,3,2,5,4,8,1,6]=>[7,3,2,5,4,1,6]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[8,4,5,2,3,7,6,1]=>[4,5,2,3,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[7,4,5,2,3,8,1,6]=>[7,4,5,2,3,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,4,5,2,3,1,8,7]=>[6,4,5,2,3,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,4,6,2,1,3,8,7]=>[5,4,6,2,1,3,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[3,6,1,5,4,2,8,7]=>[3,6,1,5,4,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,6,5,1,3,2,8,7]=>[4,6,5,1,3,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[5,6,4,3,1,2,8,7]=>[5,6,4,3,1,2,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[7,5,4,3,2,8,1,6]=>[7,5,4,3,2,1,6]=>[[[[[[.,.],.],.],.],.],[.,.]]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[8,6,4,3,7,2,5,1]=>[6,4,3,7,2,5,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,6,4,3,8,2,1,5]=>[7,6,4,3,2,1,5]=>[[[[[[.,.],.],.],.],.],[.,.]]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[6,7,4,3,8,1,2,5]=>[6,7,4,3,1,2,5]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[5,7,4,3,1,8,2,6]=>[5,7,4,3,1,2,6]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[4,7,5,1,3,8,2,6]=>[4,7,5,1,3,2,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,7,1,5,4,8,2,6]=>[3,7,1,5,4,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,1,7,5,4,8,3,6]=>[2,1,7,5,4,3,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[3,8,1,5,4,7,6,2]=>[3,1,5,4,7,6,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[4,8,5,1,3,7,6,2]=>[4,5,1,3,7,6,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[5,8,4,3,1,7,6,2]=>[5,4,3,1,7,6,2]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[6,8,4,3,7,1,5,2]=>[6,4,3,7,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,8,4,3,6,5,1,2]=>[7,4,3,6,5,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[6,8,5,7,3,1,4,2]=>[6,5,7,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[5,8,6,7,1,3,4,2]=>[5,6,7,1,3,4,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,8,6,1,7,3,5,2]=>[4,6,1,7,3,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[3,8,1,6,7,4,5,2]=>[3,1,6,7,4,5,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[2,1,8,6,7,4,5,3]=>[2,1,6,7,4,5,3]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[2,1,7,6,8,4,3,5]=>[2,1,7,6,4,3,5]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[3,7,1,6,8,4,2,5]=>[3,7,1,6,4,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,7,6,1,8,3,2,5]=>[4,7,6,1,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[5,7,6,8,1,3,2,4]=>[5,7,6,1,3,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[5,4,7,2,1,8,3,6]=>[5,4,7,2,1,3,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[6,4,7,2,8,1,3,5]=>[6,4,7,2,1,3,5]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[7,4,6,2,8,3,1,5]=>[7,4,6,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[8,4,6,2,7,3,5,1]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[8,3,2,6,7,4,5,1]=>[3,2,6,7,4,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,3,2,6,8,4,1,5]=>[7,3,2,6,4,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[6,3,2,7,8,1,4,5]=>[6,3,2,7,1,4,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[5,3,2,7,1,8,4,6]=>[5,3,2,7,1,4,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,3,2,1,7,8,5,6]=>[4,3,2,1,7,5,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,4,1,2,8,7,6,5]=>[3,4,1,2,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[5,3,2,8,1,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[6,3,2,8,7,1,5,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,3,2,8,6,5,1,4]=>[7,3,2,6,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[8,4,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[7,4,8,2,6,5,1,3]=>[7,4,2,6,5,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[6,4,8,2,7,1,5,3]=>[6,4,2,7,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,4,8,2,1,7,6,3]=>[5,4,2,1,7,6,3]=>[[[[.,.],.],.],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[4,5,8,1,2,7,6,3]=>[4,5,1,2,7,6,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[3,5,1,8,2,7,6,4]=>[3,5,1,2,7,6,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[2,1,5,8,3,7,6,4]=>[2,1,5,3,7,6,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[2,1,6,8,7,3,5,4]=>[2,1,6,7,3,5,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,6,1,8,7,2,5,4]=>[3,6,1,7,2,5,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,6,8,1,7,2,5,3]=>[4,6,1,7,2,5,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,6,8,7,1,2,4,3]=>[5,6,7,1,2,4,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,5,8,7,2,1,4,3]=>[6,5,7,2,1,4,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,5,8,6,2,4,1,3]=>[7,5,6,2,4,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[8,5,7,6,2,4,3,1]=>[5,7,6,2,4,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,7,8,6,1,4,2,3]=>[5,7,6,1,4,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[4,7,8,1,6,5,2,3]=>[4,7,1,6,5,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,7,1,8,6,5,2,4]=>[3,7,1,6,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,1,7,8,6,5,3,4]=>[2,1,7,6,5,3,4]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,8,7,5,4,1,3,2]=>[6,7,5,4,1,3,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
Map
restriction
Description
The permutation obtained by removing the largest letter.
This map is undefined for the empty permutation.
This map is undefined for the empty permutation.
Map
to increasing tree
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.
Map
left-right symmetry
Description
Return the left-right symmetrized tree of a binary tree.
searching the database
Sorry, this map was not found in the database.