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[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.],.]=>[[[[[]],[[]],[]],[]],[],[]]
[[[.,[[[.,[.,.]],[.,.]],.]],[.,[.,.]]],.]=>[[[[]],[[]],[]],[[[]]],[]]
[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.],.]=>[[[[]],[[[]],[]],[]],[],[]]
[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.],.]=>[[[[[]],[]],[[]],[]],[],[]]
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[[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,.]]],.]=>[[[]],[[]],[[]],[[[]]],[]]
[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.],.]=>[[[]],[[]],[[[]],[]],[],[]]
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[.,[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]]]=>[[[],[[],[[]],[[]]],[[]]]]
[.,[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]]=>[[[],[[],[[]]],[[],[[]]]]]
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[.,[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]]]=>[[[],[[],[[]]],[[]],[[]]]]
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[[.,[[.,.],[[[.,.],[.,.]],[.,.]]]],[.,.]]=>[[[],[[],[[]],[[]]]],[[]]]
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[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],[.,.]]=>[[[],[[]],[[],[[]]]],[[]]]
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[[.,[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]]=>[[[],[[],[[]]]],[[],[[]]]]
[[.,[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]]=>[[[],[[]],[[]]],[[],[[]]]]
[[.,[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]]=>[[[],[[]]],[[],[[],[[]]]]]
[[.,[.,.]],[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[[[]],[[],[[],[[]],[[]]]]]
[[.,[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]]=>[[[],[[]]],[[],[[]],[[]]]]
[[.,[.,.]],[[[.,.],[[.,.],[.,.]]],[.,.]]]=>[[[]],[[],[[],[[]]],[[]]]]
[[[.,[[.,.],[[.,.],[.,.]]]],[.,.]],[.,.]]=>[[[],[[],[[]]]],[[]],[[]]]
[[[.,[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]]=>[[[],[[]],[[]]],[[]],[[]]]
[[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]]=>[[[],[[]]],[[],[[]]],[[]]]
[[[.,[.,.]],[[.,.],[[.,.],[.,.]]]],[.,.]]=>[[[]],[[],[[],[[]]]],[[]]]
[[[.,[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[[],[[]]]]
[[[.,[.,.]],[.,.]],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[],[[],[[]]]]]
[[[.,[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[]],[[],[[]],[[]]]]
[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]]=>[[[],[[]]],[[]],[[]],[[]]]
[[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]]=>[[[]],[[]],[[],[[]]],[[]]]
[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[]],[[]],[[]],[[],[[]]]]
[.,[[.,.],[[.,[[.,[[.,[.,.]],.]],.]],.]]]=>[[[],[[[[[]],[]],[]],[]]]]
[.,[[.,.],[[.,[[[.,[.,.]],[.,.]],.]],.]]]=>[[[],[[[[]],[[]],[]],[]]]]
[.,[[.,.],[[[.,[.,.]],[[.,[.,.]],.]],.]]]=>[[[],[[[]],[[[]],[]],[]]]]
[.,[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]]]=>[[[],[[[[]],[]],[[]],[]]]]
[.,[[.,.],[[[[.,[.,.]],[.,.]],[.,.]],.]]]=>[[[],[[[]],[[]],[[]],[]]]]
[.,[[[.,[.,.]],.],[[.,[[.,[.,.]],.]],.]]]=>[[[[]],[],[[[[]],[]],[]]]]
[.,[[[.,[.,.]],.],[[[.,[.,.]],[.,.]],.]]]=>[[[[]],[],[[[]],[[]],[]]]]
[.,[[[.,[[.,[.,.]],.]],.],[[.,[.,.]],.]]]=>[[[[[]],[]],[],[[[]],[]]]]
[.,[[[.,[[.,[[.,[.,.]],.]],.]],.],[.,.]]]=>[[[[[[]],[]],[]],[],[[]]]]
[.,[[[.,[[[.,[.,.]],[.,.]],.]],.],[.,.]]]=>[[[[[]],[[]],[]],[],[[]]]]
[.,[[[[.,[.,.]],[.,.]],.],[[.,[.,.]],.]]]=>[[[[]],[[]],[],[[[]],[]]]]
[.,[[[[.,[.,.]],[[.,[.,.]],.]],.],[.,.]]]=>[[[[]],[[[]],[]],[],[[]]]]
[.,[[[[.,[[.,[.,.]],.]],[.,.]],.],[.,.]]]=>[[[[[]],[]],[[]],[],[[]]]]
[.,[[[[[.,[.,.]],[.,.]],[.,.]],.],[.,.]]]=>[[[[]],[[]],[[]],[],[[]]]]
[[.,[.,.]],[[.,.],[[.,[[.,[.,.]],.]],.]]]=>[[[]],[[],[[[[]],[]],[]]]]
[[.,[.,.]],[[.,.],[[[.,[.,.]],[.,.]],.]]]=>[[[]],[[],[[[]],[[]],[]]]]
[[.,[.,.]],[[[.,[.,.]],.],[[.,[.,.]],.]]]=>[[[]],[[[]],[],[[[]],[]]]]
[[.,[.,.]],[[[.,[[.,[.,.]],.]],.],[.,.]]]=>[[[]],[[[[]],[]],[],[[]]]]
[[.,[.,.]],[[[[.,[.,.]],[.,.]],.],[.,.]]]=>[[[]],[[[]],[[]],[],[[]]]]
[[.,[[.,[.,.]],.]],[[.,.],[[.,[.,.]],.]]]=>[[[[]],[]],[[],[[[]],[]]]]
[[.,[[.,[.,.]],.]],[[[.,[.,.]],.],[.,.]]]=>[[[[]],[]],[[[]],[],[[]]]]
[[.,[[.,[[.,[.,.]],.]],.]],[[.,.],[.,.]]]=>[[[[[]],[]],[]],[[],[[]]]]
[[.,[[[.,[.,.]],[.,.]],.]],[[.,.],[.,.]]]=>[[[[]],[[]],[]],[[],[[]]]]
[[[.,[.,.]],[.,.]],[[.,.],[[.,[.,.]],.]]]=>[[[]],[[]],[[],[[[]],[]]]]
[[[.,[.,.]],[.,.]],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[]],[[[]],[],[[]]]]
[[[.,[.,.]],[[.,[.,.]],.]],[[.,.],[.,.]]]=>[[[]],[[[]],[]],[[],[[]]]]
[[[.,[[.,[.,.]],.]],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[[],[[]]]]
[[.,[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]],.]=>[[[[[[],[[]]],[]],[]]],[]]
[[.,[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]],.]=>[[[[[],[[]],[[]]],[]]],[]]
[[.,[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]],.]=>[[[[],[[]],[[],[[]]]]],[]]
[[.,[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]],.]=>[[[[[],[[]]],[],[[]]]],[]]
[[.,[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]],.]=>[[[[],[[]],[[]],[[]]]],[]]
[[.,[[.,.],[.,.]]],[[.,[[.,.],[.,.]]],.]]=>[[[],[[]]],[[[],[[]]],[]]]
[[.,[[.,[[.,.],[.,.]]],.]],[[.,.],[.,.]]]=>[[[[],[[]]],[]],[[],[[]]]]
[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],[.,.]]=>[[[[[],[[]]],[]],[]],[[]]]
[[.,[[.,[[[.,.],[.,.]],[.,.]]],.]],[.,.]]=>[[[[],[[]],[[]]],[]],[[]]]
[[.,[[[.,[[.,.],[.,.]]],.],[.,.]]],[.,.]]=>[[[[],[[]]],[],[[]]],[[]]]
[[[.,[.,.]],[.,[[.,[[.,.],[.,.]]],.]]],.]=>[[[]],[[[[],[[]]],[]]],[]]
[[[.,[.,.]],[.,[[[.,.],[.,.]],[.,.]]]],.]=>[[[]],[[[],[[]],[[]]]],[]]
[.,[.,[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]]]=>[[[[[]],[[[],[[]]],[]]]]]
[.,[.,[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]]]=>[[[[[]],[[],[[]],[[]]]]]]
[.,[.,[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]]]=>[[[[[[]],[[],[[]]]],[]]]]
[.,[.,[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]]]=>[[[[[[[]],[[]]],[]],[]]]]
[.,[.,[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]]]=>[[[[[[]],[[]],[[]]],[]]]]
[.,[.,[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]]]=>[[[[[]],[[],[[]]],[[]]]]]
[.,[.,[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]]]=>[[[[],[[]],[[[],[[]]]]]]]
[.,[.,[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]]]=>[[[[[[]],[[]]],[],[[]]]]]
[.,[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]]]=>[[[[[]],[[]],[[]],[[]]]]]
[[[[.,[.,.]],[[.,[[.,.],[.,.]]],.]],.],.]=>[[[]],[[[],[[]]],[]],[],[]]
[[[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],.],.]=>[[[]],[[],[[]],[[]]],[],[]]
[[[[.,.],[.,.]],.],[[.,[[.,.],[.,.]]],.]]=>[[],[[]],[],[[[],[[]]],[]]]
[[[[.,.],[.,.]],.],[[[.,.],[.,.]],[.,.]]]=>[[],[[]],[],[[],[[]],[[]]]]
[[[[.,[[.,[.,.]],[[.,.],[.,.]]]],.],.],.]=>[[[[]],[[],[[]]]],[],[],[]]
[[[[.,[[.,.],[.,.]]],.],.],[[.,.],[.,.]]]=>[[[],[[]]],[],[],[[],[[]]]]
[[[[.,[[.,[[.,[.,.]],[.,.]]],.]],.],.],.]=>[[[[[]],[[]]],[]],[],[],[]]
[[[[.,[[[.,[.,.]],[.,.]],[.,.]]],.],.],.]=>[[[[]],[[]],[[]]],[],[],[]]
[[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],.],.]=>[[[]],[[],[[]]],[[]],[],[]]
[[[[[.,.],[.,.]],[.,.]],.],[[.,.],[.,.]]]=>[[],[[]],[[]],[],[[],[[]]]]
[[[[[.,.],[.,.]],[.,[[.,.],[.,.]]]],.],.]=>[[],[[]],[[[],[[]]]],[],[]]
[[[[[.,[[.,[.,.]],[.,.]]],.],[.,.]],.],.]=>[[[[]],[[]]],[],[[]],[],[]]
[[.,[[.,[[.,[[[.,.],[.,.]],.]],.]],.]],.]=>[[[[[],[[]],[]],[]],[]],[]]
[[.,[[.,[[[.,.],[[.,.],[.,.]]],.]],.]],.]=>[[[[],[[],[[]]],[]],[]],[]]
[[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],.]],.]=>[[[],[[]],[[],[[]]],[]],[]]
[[.,[[[.,.],[.,[[[.,.],[.,.]],.]]],.]],.]=>[[[],[[[],[[]],[]]],[]],[]]
[[.,[[[.,.],[[.,.],[[.,.],[.,.]]]],.]],.]=>[[[],[[],[[],[[]]]],[]],[]]
[[[.,[[[.,.],[.,.]],.]],[[.,.],[.,.]]],.]=>[[[],[[]],[]],[[],[[]]],[]]
[[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]],.]=>[[],[[],[[]]],[[],[[]]],[]]
[[[[.,.],[.,.]],[.,[[[.,.],[.,.]],.]]],.]=>[[],[[]],[[[],[[]],[]]],[]]
[[[.,.],[.,[[.,[[[.,.],[.,.]],.]],.]]],.]=>[[],[[[[],[[]],[]],[]]],[]]
[[[.,.],[.,[[[.,.],[[.,.],[.,.]]],.]]],.]=>[[],[[[],[[],[[]]],[]]],[]]
[[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]],.]=>[[],[[]],[[],[[],[[]]]],[]]
[[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]],.]=>[[],[[],[[]],[[],[[]]]],[]]
[[[.,.],[[.,.],[.,[[[.,.],[.,.]],.]]]],.]=>[[],[[],[[[],[[]],[]]]],[]]
[[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],.]=>[[],[[],[[],[[],[[]]]]],[]]
[[.,[[.,[[[.,.],[.,.]],.]],.]],[[.,.],.]]=>[[[[],[[]],[]],[]],[[],[]]]
[[.,[[[.,.],[[.,.],[.,.]]],.]],[[.,.],.]]=>[[[],[[],[[]]],[]],[[],[]]]
[[[[.,.],[.,.]],[[.,.],[.,.]]],[[.,.],.]]=>[[],[[]],[[],[[]]],[[],[]]]
[[[.,.],[.,[[[.,.],[.,.]],.]]],[[.,.],.]]=>[[],[[[],[[]],[]]],[[],[]]]
[[[.,.],[[.,.],[[.,.],[.,.]]]],[[.,.],.]]=>[[],[[],[[],[[]]]],[[],[]]]
[.,[[[.,[[[.,.],[.,.]],.]],[[.,.],.]],.]]=>[[[[],[[]],[]],[[],[]],[]]]
[.,[[[[.,.],[[.,.],[.,.]]],[[.,.],.]],.]]=>[[[],[[],[[]]],[[],[]],[]]]
[.,[[.,[[[[.,.],[.,.]],[[.,.],.]],.]],.]]=>[[[[],[[]],[[],[]],[]],[]]]
[.,[[.,[[.,[[[.,.],[[.,.],.]],.]],.]],.]]=>[[[[[],[[],[]],[]],[]],[]]]
[.,[[.,[[[.,.],[[.,.],[[.,.],.]]],.]],.]]=>[[[[],[[],[[],[]]],[]],[]]]
[.,[[[.,.],[[[.,.],[.,.]],[[.,.],.]]],.]]=>[[[],[[],[[]],[[],[]]],[]]]
[.,[[[[[.,.],[.,.]],.],[[.,.],[.,.]]],.]]=>[[[],[[]],[],[[],[[]]],[]]]
[.,[[[.,.],[.,[[[.,.],[[.,.],.]],.]]],.]]=>[[[],[[[],[[],[]],[]]],[]]]
[[.,.],[[.,[[[.,.],[.,.]],.]],[[.,.],.]]]=>[[],[[[],[[]],[]],[[],[]]]]
[[.,.],[[[.,.],[[.,.],[.,.]]],[[.,.],.]]]=>[[],[[],[[],[[]]],[[],[]]]]
[[[.,.],[.,.]],[[[.,.],[.,.]],[[.,.],.]]]=>[[],[[]],[[],[[]],[[],[]]]]
[[[.,[[[.,.],[.,.]],.]],.],[[.,.],[.,.]]]=>[[[],[[]],[]],[],[[],[[]]]]
[[[[.,.],[[.,.],[.,.]]],.],[[.,.],[.,.]]]=>[[],[[],[[]]],[],[[],[[]]]]
[[.,.],[.,[[[[.,.],[.,.]],[[.,.],.]],.]]]=>[[],[[[],[[]],[[],[]],[]]]]
[[[[.,.],[.,.]],.],[.,[[[.,.],[.,.]],.]]]=>[[],[[]],[],[[[],[[]],[]]]]
[[.,.],[.,[[.,[[[.,.],[[.,.],.]],.]],.]]]=>[[],[[[[],[[],[]],[]],[]]]]
[[.,.],[.,[[[.,.],[[.,.],[[.,.],.]]],.]]]=>[[],[[[],[[],[[],[]]],[]]]]
[[.,.],[[.,.],[[[.,.],[.,.]],[[.,.],.]]]]=>[[],[[],[[],[[]],[[],[]]]]]
[[[[.,.],[.,.]],.],[[.,.],[[.,.],[.,.]]]]=>[[],[[]],[],[[],[[],[[]]]]]
[[.,.],[[[[.,.],[.,.]],.],[[.,.],[.,.]]]]=>[[],[[],[[]],[],[[],[[]]]]]
[[.,.],[[.,.],[.,[[[.,.],[[.,.],.]],.]]]]=>[[],[[],[[[],[[],[]],[]]]]]
[.,[[.,.],[[.,.],[[.,.],[[.,[.,.]],.]]]]]=>[[[],[[],[[],[[[]],[]]]]]]
[.,[[.,.],[[.,.],[[[.,[.,.]],[.,.]],.]]]]=>[[[],[[],[[[]],[[]],[]]]]]
[.,[[.,.],[[[.,[.,.]],.],[[.,[.,.]],.]]]]=>[[[],[[[]],[],[[[]],[]]]]]
[.,[[[.,[[.,.],[[.,[.,.]],.]]],[.,.]],.]]=>[[[[],[[[]],[]]],[[]],[]]]
[.,[[[.,[.,.]],.],[[.,.],[[.,[.,.]],.]]]]=>[[[[]],[],[[],[[[]],[]]]]]
[[.,[[.,.],[[.,.],[[.,[.,.]],.]]]],[.,.]]=>[[[],[[],[[[]],[]]]],[[]]]
[[.,[[.,.],[[[.,[.,.]],[.,.]],.]]],[.,.]]=>[[[],[[[]],[[]],[]]],[[]]]
[[.,[[[.,[.,.]],.],[[.,[.,.]],.]]],[.,.]]=>[[[[]],[],[[[]],[]]],[[]]]
[[.,.],[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]]=>[[],[[[],[[[]],[]]],[[]]]]
[[.,.],[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]]=>[[],[[[[]],[[]],[]],[[]]]]
[[.,.],[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]]=>[[],[[],[[[[]],[]],[[]]]]]
[[.,.],[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]]=>[[],[[],[[[]],[[]],[[]]]]]
[[.,.],[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]]=>[[],[[[]],[[[]],[]],[[]]]]
[[.,.],[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]]=>[[],[[[[[]],[]]],[[]],[]]]
[[.,.],[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]]=>[[],[[[]],[],[[[]],[[]]]]]
[[.,.],[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]]=>[[],[[[]],[[]],[[]],[[]]]]
[[[.,[.,.]],[[.,.],[[.,[.,.]],.]]],[.,.]]=>[[[]],[[],[[[]],[]]],[[]]]
[[[.,[.,[[.,.],[[.,[.,.]],.]]]],[.,.]],.]=>[[[[],[[[]],[]]]],[[]],[]]
[[[.,[.,[[[.,[.,.]],[.,.]],.]]],[.,.]],.]=>[[[[[]],[[]],[]]],[[]],[]]
[[[.,[.,.]],.],[[.,[[.,[.,.]],.]],[.,.]]]=>[[[]],[],[[[[]],[]],[[]]]]
[[[.,[.,[[.,[.,.]],.]]],.],[[.,[.,.]],.]]=>[[[[[]],[]]],[],[[[]],[]]]
[[[.,[.,.]],.],[[.,.],[[.,[.,.]],[.,.]]]]=>[[[]],[],[[],[[[]],[[]]]]]
[[[.,[.,.]],.],[[[.,[.,.]],[.,.]],[.,.]]]=>[[[]],[],[[[]],[[]],[[]]]]
[[[[.,[.,[[.,[.,.]],.]]],[.,.]],[.,.]],.]=>[[[[[]],[]]],[[]],[[]],[]]
[[[[.,[.,.]],[.,[[.,[.,.]],.]]],[.,.]],.]=>[[[]],[[[[]],[]]],[[]],[]]
[[[[.,[.,.]],[.,.]],.],[[.,[.,.]],[.,.]]]=>[[[]],[[]],[],[[[]],[[]]]]
[[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.],.]=>[[[[[],[[]]],[]],[]],[],[]]
[[[.,[[.,[[[.,.],[.,.]],[.,.]]],.]],.],.]=>[[[[],[[]],[[]]],[]],[],[]]
[[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],.],.]=>[[[],[[]],[[],[[]]]],[],[]]
[[[.,[[[.,[[.,.],[.,.]]],.],[.,.]]],.],.]=>[[[[],[[]]],[],[[]]],[],[]]
[[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.],.]=>[[[],[[]],[[]],[[]]],[],[]]
[[[[.,.],[.,.]],[[.,[[.,.],[.,.]]],.]],.]=>[[],[[]],[[[],[[]]],[]],[]]
[[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]],.]=>[[],[[]],[[],[[]],[[]]],[]]
[[[[.,[[.,.],[.,.]]],.],[[.,.],[.,.]]],.]=>[[[],[[]]],[],[[],[[]]],[]]
[[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,.]],.]=>[[[[],[[]]],[]],[],[[]],[]]
[[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]],.]=>[[[],[[]],[[]]],[],[[]],[]]
[[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]],.]=>[[],[[]],[[]],[[],[[]]],[]]
[[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]],.]=>[[],[[]],[[],[[]]],[[]],[]]
[[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]],.]=>[[[],[[]]],[],[[]],[[]],[]]
[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],.]=>[[],[[]],[[]],[[]],[[]],[]]
[.,[[.,.],[[.,[[.,[[.,.],[.,.]]],.]],.]]]=>[[[],[[[[],[[]]],[]],[]]]]
[.,[[.,.],[[.,[[[.,.],[.,.]],[.,.]]],.]]]=>[[[],[[[],[[]],[[]]],[]]]]
[.,[[.,.],[[[.,[[.,.],[.,.]]],.],[.,.]]]]=>[[[],[[[],[[]]],[],[[]]]]]
[.,[[[.,[.,.]],[[.,[[.,.],[.,.]]],.]],.]]=>[[[[]],[[[],[[]]],[]],[]]]
[.,[[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],.]]=>[[[[]],[[],[[]],[[]]],[]]]
[.,[[[.,[[.,[.,.]],[[.,.],[.,.]]]],.],.]]=>[[[[[]],[[],[[]]]],[],[]]]
[.,[[[.,[[.,[[.,[.,.]],[.,.]]],.]],.],.]]=>[[[[[[]],[[]]],[]],[],[]]]
[.,[[[.,[[[.,[.,.]],[.,.]],[.,.]]],.],.]]=>[[[[[]],[[]],[[]]],[],[]]]
[.,[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],.]]=>[[[[]],[[],[[]]],[[]],[]]]
[.,[[[[.,.],[.,.]],[.,[[.,.],[.,.]]]],.]]=>[[[],[[]],[[[],[[]]]],[]]]
[.,[[[[.,[[.,[.,.]],[.,.]]],.],[.,.]],.]]=>[[[[[]],[[]]],[],[[]],[]]]
[[.,.],[[.,.],[.,[[.,[[.,.],[.,.]]],.]]]]=>[[],[[],[[[[],[[]]],[]]]]]
[[.,.],[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]]=>[[],[[],[[[],[[]],[[]]]]]]
[[.,[[.,[.,.]],[[.,.],[.,.]]]],[.,[.,.]]]=>[[[[]],[[],[[]]]],[[[]]]]
[[.,[[.,.],[.,.]]],[.,[.,[[.,.],[.,.]]]]]=>[[[],[[]]],[[[[],[[]]]]]]
[[.,[[.,[[.,[.,.]],[.,.]]],.]],[.,[.,.]]]=>[[[[[]],[[]]],[]],[[[]]]]
[[.,[[[.,[.,.]],[.,.]],[.,.]]],[.,[.,.]]]=>[[[[]],[[]],[[]]],[[[]]]]
[[[.,.],[.,.]],[[.,.],[.,[[.,.],[.,.]]]]]=>[[],[[]],[[],[[[],[[]]]]]]
[[[.,.],[.,.]],[[.,[[.,.],[.,.]]],[.,.]]]=>[[],[[]],[[[],[[]]],[[]]]]
[[[.,[[.,[.,.]],[.,.]]],.],[[.,.],[.,.]]]=>[[[[]],[[]]],[],[[],[[]]]]
[[[[.,.],[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]=>[[],[[]],[[[]]],[[[[]]]]]
[[[[.,[.,[.,[.,.]]]],[.,[.,.]]],[.,.]],.]=>[[[[[]]]],[[[]]],[[]],[]]
[[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.],[.,.]]=>[[[[[]]]],[[[]]],[],[[]]]
[[[[.,[.,[.,[.,.]]]],[.,.]],[.,[.,.]]],.]=>[[[[[]]]],[[]],[[[]]],[]]
[[[[.,[.,[.,[.,.]]]],[.,.]],.],[.,[.,.]]]=>[[[[[]]]],[[]],[],[[[]]]]
[[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]],[.,.]]=>[[[[[]]]],[],[[[]]],[[]]]
[[[[.,[.,[.,[.,.]]]],.],[.,.]],[.,[.,.]]]=>[[[[[]]]],[],[[]],[[[]]]]
[[[[.,[.,[.,.]]],[.,[.,[.,.]]]],[.,.]],.]=>[[[[]]],[[[[]]]],[[]],[]]
[[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.],[.,.]]=>[[[[]]],[[[[]]]],[],[[]]]
[[[[.,[.,[.,.]]],[.,.]],[.,[.,[.,.]]]],.]=>[[[[]]],[[]],[[[[]]]],[]]
[[[[.,[.,[.,.]]],[.,.]],.],[.,[.,[.,.]]]]=>[[[[]]],[[]],[],[[[[]]]]]
[[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]],[.,.]]=>[[[[]]],[],[[[[]]]],[[]]]
[[[[.,[.,[.,.]]],.],[.,.]],[.,[.,[.,.]]]]=>[[[[]]],[],[[]],[[[[]]]]]
[[[[.,[.,.]],[.,[.,[.,.]]]],[.,[.,.]]],.]=>[[[]],[[[[]]]],[[[]]],[]]
[[[[.,[.,.]],[.,[.,[.,.]]]],.],[.,[.,.]]]=>[[[]],[[[[]]]],[],[[[]]]]
[[[[.,[.,.]],[.,[.,.]]],[.,[.,[.,.]]]],.]=>[[[]],[[[]]],[[[[]]]],[]]
[[[[.,[.,.]],[.,[.,.]]],.],[.,[.,[.,.]]]]=>[[[]],[[[]]],[],[[[[]]]]]
[[[[.,[.,.]],.],[.,[.,[.,.]]]],[.,[.,.]]]=>[[[]],[],[[[[]]]],[[[]]]]
[[[[.,[.,.]],.],[.,[.,.]]],[.,[.,[.,.]]]]=>[[[]],[],[[[]]],[[[[]]]]]
[[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]],[.,.]]=>[[],[[[[]]]],[[[]]],[[]]]
[[[[.,.],[.,[.,[.,.]]]],[.,.]],[.,[.,.]]]=>[[],[[[[]]]],[[]],[[[]]]]
[[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]],[.,.]]=>[[],[[[]]],[[[[]]]],[[]]]
[[[[.,.],[.,[.,.]]],[.,.]],[.,[.,[.,.]]]]=>[[],[[[]]],[[]],[[[[]]]]]
[[[[.,.],[.,.]],[.,[.,[.,.]]]],[.,[.,.]]]=>[[],[[]],[[[[]]]],[[[]]]]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]=>[[[[[[[[[[]]]]]]]]],[]]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[[],[[[[[[[[[]]]]]]]]]]
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.]=>[[[[[[[[[],[]]]]]]]],[]]
[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]=>[[],[[[[[[[[],[]]]]]]]]]
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[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]=>[[[],[],[],[],[],[],[],[],[]]]
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[[[[.,.],[.,.]],[.,.]],[[.,.],[.,[.,.]]]]=>[[],[[]],[[]],[[],[[[]]]]]
[[[[[.,.],.],.],[.,.]],[[.,.],[.,[.,.]]]]=>[[],[],[],[[]],[[],[[[]]]]]
[.,[[[[[.,.],.],.],[.,.]],[[.,.],[.,.]]]]=>[[[],[],[],[[]],[[],[[]]]]]
[.,[[[[[[[[.,.],.],.],[.,.]],.],.],.],.]]=>[[[],[],[],[[]],[],[],[],[]]]
[[[[[[[[.,.],.],.],[.,.]],.],.],.],[.,.]]=>[[],[],[],[[]],[],[],[],[[]]]
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[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]=>[[[[[[[[[]]]]]]]],[[]]]
[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]=>[[],[[[[[[[[]]]]]]]],[]]
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[.,[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[[[]],[[[[[[[]]]]]]]]]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[[[]],[[[[[[[[]]]]]]]]]
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]=>[[[[[[[[[[]]]]]]]],[]]]
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]=>[[[[[[[[[]]]]]]],[[]]]]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]=>[[[[[[[[]]]]]]],[[[]]]]
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]=>[[[[[[[[[[],[]]]]]]]]]]
[[.,.],[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]=>[[],[[[[[[[[]]]]]]],[]]]
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[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.]=>[[[]],[],[],[],[],[],[],[],[]]
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.]=>[[],[[]],[],[],[],[],[],[],[]]
[[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[[],[],[[[[[[[]]]]]]],[]]
[[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]=>[[],[[[[[[[]]]]]]],[],[]]
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[[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],[.,.]]],.]=>[[[[]],[]],[[[]],[[]],[[]]],[]]
[[[.,[[.,[.,.]],.]],[[.,[.,.]],[[.,[.,.]],.]]],.]=>[[[[]],[]],[[[]],[[[]],[]]],[]]
[[[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],.],.]=>[[[[]],[]],[[[[]],[]],[]],[],[]]
[[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],[.,.]]],.]=>[[[[]],[]],[[[[]],[]],[[]]],[]]
[[[.,[[.,[.,.]],.]],[.,[[[.,[.,.]],[.,.]],.]]],.]=>[[[[]],[]],[[[[]],[[]],[]]],[]]
[[[.,[[.,[.,.]],.]],[.,[[.,[[.,[.,.]],.]],.]]],.]=>[[[[]],[]],[[[[[]],[]],[]]],[]]
[[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],.],.]=>[[[[]],[[]],[]],[[]],[[]],[],[]]
[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,[.,.]]],.]=>[[[[]],[[]],[]],[[]],[[[]]],[]]
[[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],.],.]=>[[[[]],[[]],[]],[[[]],[]],[],[]]
[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],[.,.]]],.]=>[[[[]],[[]],[]],[[[]],[[]]],[]]
[[[.,[[[.,[.,.]],[.,.]],.]],[.,[[.,[.,.]],.]]],.]=>[[[[]],[[]],[]],[[[[]],[]]],[]]
[[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],.],.]=>[[[[]],[[]],[[]],[]],[[]],[],[]]
[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,[.,.]]],.]=>[[[[]],[[]],[[]],[]],[[[]]],[]]
[[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],.],.]=>[[[[]],[[]],[[]],[[]],[]],[],[]]
[[.,[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]]],.]=>[[[[]],[[]],[[]],[[[]],[]]],[]]
[[[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],.],.]=>[[[[]],[[]],[[[]],[]],[]],[],[]]
[[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]]],.]=>[[[[]],[[]],[[[]],[]],[[]]],[]]
[[.,[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]]],.]=>[[[[]],[[]],[[[]],[[]],[]]],[]]
[[.,[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]]],.]=>[[[[]],[[]],[[[[]],[]],[]]],[]]
[[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],.],.]=>[[[[]],[[[]],[]],[]],[[]],[],[]]
[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,[.,.]]],.]=>[[[[]],[[[]],[]],[]],[[[]]],[]]
[[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],.],.]=>[[[[]],[[[]],[]],[[]],[]],[],[]]
[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]]],.]=>[[[[]],[[[]],[]],[[]],[[]]],[]]
[[.,[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]]],.]=>[[[[]],[[[]],[]],[[[]],[]]],[]]
[[[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],.],.]=>[[[[]],[[[]],[[]],[]],[]],[],[]]
[[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]]],.]=>[[[[]],[[[]],[[]],[]],[[]]],[]]
[[.,[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]]],.]=>[[[[]],[[[]],[[]],[[]],[]]],[]]
[[.,[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]]],.]=>[[[[]],[[[]],[[[]],[]],[]]],[]]
[[[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],.],.]=>[[[[]],[[[[]],[]],[]],[]],[],[]]
[[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]]],.]=>[[[[]],[[[[]],[]],[]],[[]]],[]]
[[.,[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]]],.]=>[[[[]],[[[[]],[]],[[]],[]]],[]]
[[.,[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]]],.]=>[[[[]],[[[[]],[[]],[]],[]]],[]]
[[.,[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]]],.]=>[[[[]],[[[[[]],[]],[]],[]]],[]]
[[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],.],.]=>[[[[[]],[]],[]],[[]],[[]],[],[]]
[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,[.,.]]],.]=>[[[[[]],[]],[]],[[]],[[[]]],[]]
[[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],.],.]=>[[[[[]],[]],[]],[[[]],[]],[],[]]
[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],[.,.]]],.]=>[[[[[]],[]],[]],[[[]],[[]]],[]]
[[[.,[[.,[[.,[.,.]],.]],.]],[.,[[.,[.,.]],.]]],.]=>[[[[[]],[]],[]],[[[[]],[]]],[]]
[[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],.],.]=>[[[[[]],[]],[[]],[]],[[]],[],[]]
[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,[.,.]]],.]=>[[[[[]],[]],[[]],[]],[[[]]],[]]
[[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],.],.]=>[[[[[]],[]],[[]],[[]],[]],[],[]]
[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]]],.]=>[[[[[]],[]],[[]],[[]],[[]]],[]]
[[.,[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]]],.]=>[[[[[]],[]],[[]],[[[]],[]]],[]]
[[[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],.],.]=>[[[[[]],[]],[[[]],[]],[]],[],[]]
[[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]]],.]=>[[[[[]],[]],[[[]],[]],[[]]],[]]
[[.,[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]]],.]=>[[[[[]],[]],[[[]],[[]],[]]],[]]
[[.,[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]]],.]=>[[[[[]],[]],[[[[]],[]],[]]],[]]
[[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],.],.]=>[[[[[]],[[]],[]],[]],[[]],[],[]]
[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,[.,.]]],.]=>[[[[[]],[[]],[]],[]],[[[]]],[]]
[[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],.],.]=>[[[[[]],[[]],[]],[[]],[]],[],[]]
[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]]],.]=>[[[[[]],[[]],[]],[[]],[[]]],[]]
[[.,[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]]],.]=>[[[[[]],[[]],[]],[[[]],[]]],[]]
[[[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],.],.]=>[[[[[]],[[]],[[]],[]],[]],[],[]]
[[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]]],.]=>[[[[[]],[[]],[[]],[]],[[]]],[]]
[[.,[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]]],.]=>[[[[[]],[[]],[[]],[[]],[]]],[]]
[[.,[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]]],.]=>[[[[[]],[[]],[[[]],[]],[]]],[]]
[[[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],.],.]=>[[[[[]],[[[]],[]],[]],[]],[],[]]
[[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]]],.]=>[[[[[]],[[[]],[]],[]],[[]]],[]]
[[.,[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]]],.]=>[[[[[]],[[[]],[]],[[]],[]]],[]]
[[.,[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]]],.]=>[[[[[]],[[[]],[[]],[]],[]]],[]]
[[.,[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]]],.]=>[[[[[]],[[[[]],[]],[]],[]]],[]]
[[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],.],.]=>[[[[[[]],[]],[]],[]],[[]],[],[]]
[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,[.,.]]],.]=>[[[[[[]],[]],[]],[]],[[[]]],[]]
[[[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],.],.]=>[[[[[[]],[]],[]],[[]],[]],[],[]]
[[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]]],.]=>[[[[[[]],[]],[]],[[]],[[]]],[]]
[[.,[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]]],.]=>[[[[[[]],[]],[]],[[[]],[]]],[]]
[[[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],.],.]=>[[[[[[]],[]],[[]],[]],[]],[],[]]
[[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]]],.]=>[[[[[[]],[]],[[]],[]],[[]]],[]]
[[.,[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]]],.]=>[[[[[[]],[]],[[]],[[]],[]]],[]]
[[.,[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]]],.]=>[[[[[[]],[]],[[[]],[]],[]]],[]]
[[[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],.],.]=>[[[[[[]],[[]],[]],[]],[]],[],[]]
[[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]]],.]=>[[[[[[]],[[]],[]],[]],[[]]],[]]
[[.,[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]]],.]=>[[[[[[]],[[]],[]],[[]],[]]],[]]
[[.,[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]]],.]=>[[[[[[]],[[]],[[]],[]],[]]],[]]
[[.,[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]]],.]=>[[[[[[]],[[[]],[]],[]],[]]],[]]
[[.,[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]]],.]=>[[[[[[[]],[]],[]],[[]],[]]],[]]
[[.,[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]]],.]=>[[[[[[[]],[]],[[]],[]],[]]],[]]
[[.,[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]]],.]=>[[[[[[[]],[[]],[]],[]],[]]],[]]
[[.,[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]]],.]=>[[[[[[[[]],[]],[]],[]],[]]],[]]
[[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]],[.,.]]=>[[[],[[]]],[[]],[[]],[[]],[[]]]
[[[[.,[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]],[.,.]]=>[[[],[[]],[[]]],[[]],[[]],[[]]]
[[[[.,[[.,.],[[.,.],[.,.]]]],[.,.]],[.,.]],[.,.]]=>[[[],[[],[[]]]],[[]],[[]],[[]]]
[[[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]]=>[[[]],[[]],[[],[[]]],[[]],[[]]]
[[[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]],[.,.]]=>[[[],[[]]],[[],[[]]],[[]],[[]]]
[[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]],[.,.]]=>[[[],[[]],[[]],[[]]],[[]],[[]]]
[[[.,[[[.,.],[[.,.],[.,.]]],[.,.]]],[.,.]],[.,.]]=>[[[],[[],[[]]],[[]]],[[]],[[]]]
[[[[.,[.,.]],[[.,.],[[.,.],[.,.]]]],[.,.]],[.,.]]=>[[[]],[[],[[],[[]]]],[[]],[[]]]
[[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],[.,.]],[.,.]]=>[[[],[[]],[[],[[]]]],[[]],[[]]]
[[[.,[[.,.],[[[.,.],[.,.]],[.,.]]]],[.,.]],[.,.]]=>[[[],[[],[[]],[[]]]],[[]],[[]]]
[[[.,[[.,.],[[.,.],[[.,.],[.,.]]]]],[.,.]],[.,.]]=>[[[],[[],[[],[[]]]]],[[]],[[]]]
[[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]]=>[[[]],[[]],[[]],[[],[[]]],[[]]]
[[[[.,[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]],[.,.]]=>[[[],[[]]],[[]],[[],[[]]],[[]]]
[[[.,[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]],[.,.]]=>[[[],[[]],[[]]],[[],[[]]],[[]]]
[[[[.,[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]]=>[[[]],[[]],[[],[[]],[[]]],[[]]]
[[[.,[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]],[.,.]]=>[[[],[[]]],[[],[[]],[[]]],[[]]]
[[.,[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]]],[.,.]]=>[[[],[[],[[]]],[[]],[[]]],[[]]]
[[[.,[.,.]],[[[.,.],[[.,.],[.,.]]],[.,.]]],[.,.]]=>[[[]],[[],[[],[[]]],[[]]],[[]]]
[[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]],[.,.]]=>[[[],[[]],[[],[[]]],[[]]],[[]]]
[[.,[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]]],[.,.]]=>[[[],[[],[[]],[[]]],[[]]],[[]]]
[[.,[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]],[.,.]]=>[[[],[[],[[],[[]]]],[[]]],[[]]]
[[[[.,[.,.]],[.,.]],[[.,.],[[.,.],[.,.]]]],[.,.]]=>[[[]],[[]],[[],[[],[[]]]],[[]]]
[[[.,[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]],[.,.]]=>[[[],[[]]],[[],[[],[[]]]],[[]]]
[[[.,[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]],[.,.]]=>[[[]],[[],[[]],[[],[[]]]],[[]]]
[[.,[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]],[.,.]]=>[[[],[[]],[[]],[[],[[]]]],[[]]]
[[.,[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]],[.,.]]=>[[[],[[],[[]]],[[],[[]]]],[[]]]
[[[.,[.,.]],[[.,.],[[[.,.],[.,.]],[.,.]]]],[.,.]]=>[[[]],[[],[[],[[]],[[]]]],[[]]]
[[.,[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]],[.,.]]=>[[[],[[]],[[],[[]],[[]]]],[[]]]
[[.,[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]]],[.,.]]=>[[[],[[],[[]],[[]],[[]]]],[[]]]
[[.,[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]]],[.,.]]=>[[[],[[],[[],[[]]],[[]]]],[[]]]
[[.,[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]],[.,.]]=>[[[],[[]],[[],[[],[[]]]]],[[]]]
[[.,[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]]],[.,.]]=>[[[],[[],[[]],[[],[[]]]]],[[]]]
[[.,[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]]],[.,.]]=>[[[],[[],[[],[[]],[[]]]]],[[]]]
[[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]],[.,.]]=>[[[],[[],[[],[[],[[]]]]]],[[]]]
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[]],[[]],[[]],[[]],[[],[[]]]]
[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[],[[]]],[[]],[[]],[[],[[]]]]
[[[.,[[[.,.],[.,.]],[.,.]]],[.,.]],[[.,.],[.,.]]]=>[[[],[[]],[[]]],[[]],[[],[[]]]]
[[[.,[[.,.],[[.,.],[.,.]]]],[.,.]],[[.,.],[.,.]]]=>[[[],[[],[[]]]],[[]],[[],[[]]]]
[[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]]=>[[[]],[[]],[[],[[]]],[[],[[]]]]
[[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],[[.,.],[.,.]]]=>[[[],[[]]],[[],[[]]],[[],[[]]]]
[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],[[.,.],[.,.]]]=>[[[],[[]],[[]],[[]]],[[],[[]]]]
[[.,[[[.,.],[[.,.],[.,.]]],[.,.]]],[[.,.],[.,.]]]=>[[[],[[],[[]]],[[]]],[[],[[]]]]
[[[.,[.,.]],[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]]=>[[[]],[[],[[],[[]]]],[[],[[]]]]
[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],[[.,.],[.,.]]]=>[[[],[[]],[[],[[]]]],[[],[[]]]]
[[.,[[.,.],[[[.,.],[.,.]],[.,.]]]],[[.,.],[.,.]]]=>[[[],[[],[[]],[[]]]],[[],[[]]]]
[[.,[[.,.],[[.,.],[[.,.],[.,.]]]]],[[.,.],[.,.]]]=>[[[],[[],[[],[[]]]]],[[],[[]]]]
[[[[.,[.,.]],[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[[]],[[]],[[]],[[],[[]],[[]]]]
[[[.,[[.,.],[.,.]]],[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[[],[[]]],[[]],[[],[[]],[[]]]]
[[.,[[[.,.],[.,.]],[.,.]]],[[[.,.],[.,.]],[.,.]]]=>[[[],[[]],[[]]],[[],[[]],[[]]]]
[[.,[[.,.],[[.,.],[.,.]]]],[[[.,.],[.,.]],[.,.]]]=>[[[],[[],[[]]]],[[],[[]],[[]]]]
[[[.,[.,.]],[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[[[]],[[]],[[],[[]],[[]],[[]]]]
[[.,[[.,.],[.,.]]],[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[[[],[[]]],[[],[[]],[[]],[[]]]]
[.,[[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]]]=>[[[],[[],[[]]],[[]],[[]],[[]]]]
[[.,[.,.]],[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]]]=>[[[]],[[],[[],[[]]],[[]],[[]]]]
[.,[[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]]]=>[[[],[[],[[]],[[]]],[[]],[[]]]]
[.,[[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]],[.,.]]]=>[[[],[[],[[],[[]]]],[[]],[[]]]]
[[[.,[.,.]],[.,.]],[[[.,.],[[.,.],[.,.]]],[.,.]]]=>[[[]],[[]],[[],[[],[[]]],[[]]]]
[[.,[[.,.],[.,.]]],[[[.,.],[[.,.],[.,.]]],[.,.]]]=>[[[],[[]]],[[],[[],[[]]],[[]]]]
[.,[[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]]]=>[[[],[[],[[]]],[[],[[]]],[[]]]]
[[.,[.,.]],[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]]]=>[[[]],[[],[[],[[]],[[]]],[[]]]]
[.,[[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]]]=>[[[],[[],[[]],[[]],[[]]],[[]]]]
[.,[[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]],[.,.]]]=>[[[],[[],[[],[[]]],[[]]],[[]]]]
[[.,[.,.]],[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]]=>[[[]],[[],[[],[[],[[]]]],[[]]]]
[.,[[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]],[.,.]]]=>[[[],[[]],[[],[[],[[]]]],[[]]]]
[.,[[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]],[.,.]]]=>[[[],[[],[[]],[[],[[]]]],[[]]]]
[.,[[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]],[.,.]]]=>[[[],[[],[[],[[]],[[]]]],[[]]]]
[.,[[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],[.,.]]]=>[[[],[[],[[],[[],[[]]]]],[[]]]]
[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[]],[[]],[[],[[],[[]]]]]
[[[.,[[.,.],[.,.]]],[.,.]],[[.,.],[[.,.],[.,.]]]]=>[[[],[[]]],[[]],[[],[[],[[]]]]]
[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]]=>[[[]],[[],[[]]],[[],[[],[[]]]]]
[[.,[[[.,.],[.,.]],[.,.]]],[[.,.],[[.,.],[.,.]]]]=>[[[],[[]],[[]]],[[],[[],[[]]]]]
[[.,[[.,.],[[.,.],[.,.]]]],[[.,.],[[.,.],[.,.]]]]=>[[[],[[],[[]]]],[[],[[],[[]]]]]
[.,[[[[.,.],[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]]]=>[[[],[[],[[]]],[[]],[[],[[]]]]]
[[.,[.,.]],[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]]=>[[[]],[[],[[],[[]]],[[],[[]]]]]
[.,[[[.,.],[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]]]=>[[[],[[],[[]],[[]]],[[],[[]]]]]
[.,[[[.,.],[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]]]=>[[[],[[],[[],[[]]]],[[],[[]]]]]
[[[.,[.,.]],[.,.]],[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[[[]],[[]],[[],[[],[[]],[[]]]]]
[[.,[[.,.],[.,.]]],[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[[[],[[]]],[[],[[],[[]],[[]]]]]
[.,[[[.,.],[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]]]=>[[[],[[],[[]]],[[],[[]],[[]]]]]
[[.,[.,.]],[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]]]=>[[[]],[[],[[],[[]],[[]],[[]]]]]
[.,[[.,.],[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]]]=>[[[],[[],[[]],[[]],[[]],[[]]]]]
[.,[[.,.],[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]]]]=>[[[],[[],[[],[[]]],[[]],[[]]]]]
[[.,[.,.]],[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]]]=>[[[]],[[],[[],[[],[[]]],[[]]]]]
[.,[[[.,.],[.,.]],[[[.,.],[[.,.],[.,.]]],[.,.]]]]=>[[[],[[]],[[],[[],[[]]],[[]]]]]
[.,[[.,.],[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]]]=>[[[],[[],[[]],[[],[[]]],[[]]]]]
[.,[[.,.],[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]]]]=>[[[],[[],[[],[[]],[[]]],[[]]]]]
[.,[[.,.],[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]]]=>[[[],[[],[[],[[],[[]]]],[[]]]]]
[[.,[.,.]],[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]]=>[[[]],[[],[[]],[[],[[],[[]]]]]]
[.,[[[[.,.],[.,.]],[.,.]],[[.,.],[[.,.],[.,.]]]]]=>[[[],[[]],[[]],[[],[[],[[]]]]]]
[.,[[[.,.],[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]]]=>[[[],[[],[[]]],[[],[[],[[]]]]]]
[[.,[.,.]],[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]]]=>[[[]],[[],[[],[[]],[[],[[]]]]]]
[.,[[[.,.],[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]]]=>[[[],[[]],[[],[[]],[[],[[]]]]]]
[.,[[.,.],[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]]]=>[[[],[[],[[]],[[]],[[],[[]]]]]]
[[.,[.,.]],[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]]]=>[[[]],[[],[[],[[],[[]],[[]]]]]]
[.,[[[.,.],[.,.]],[[.,.],[[[.,.],[.,.]],[.,.]]]]]=>[[[],[[]],[[],[[],[[]],[[]]]]]]
[.,[[.,.],[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]]]]=>[[[],[[],[[],[[]],[[]],[[]]]]]]
[.,[[.,.],[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]]]]=>[[[],[[],[[],[[],[[]]],[[]]]]]]
[.,[[[.,.],[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]]]=>[[[],[[]],[[],[[],[[],[[]]]]]]]
[.,[[.,.],[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]]]=>[[[],[[],[[]],[[],[[],[[]]]]]]]
[.,[[.,.],[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]]]]=>[[[],[[],[[],[[]],[[],[[]]]]]]]
[.,[[.,.],[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]]]]=>[[[],[[],[[],[[],[[]],[[]]]]]]]
[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[[.,[.,.]],.]]]=>[[[]],[[]],[[]],[[],[[[]],[]]]]
[[[[.,[.,.]],[.,.]],[.,.]],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[]],[[]],[[[]],[],[[]]]]
[[[.,[.,.]],[.,.]],[[.,.],[[[.,[.,.]],[.,.]],.]]]=>[[[]],[[]],[[],[[[]],[[]],[]]]]
[[[.,[.,.]],[.,.]],[[.,.],[[.,[[.,[.,.]],.]],.]]]=>[[[]],[[]],[[],[[[[]],[]],[]]]]
[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[[.,.],[.,.]]]=>[[[]],[[]],[[[]],[]],[[],[[]]]]
[[[.,[.,.]],[.,.]],[[[.,[.,.]],.],[[.,[.,.]],.]]]=>[[[]],[[]],[[[]],[],[[[]],[]]]]
[[[.,[.,.]],[.,.]],[[[[.,[.,.]],[.,.]],.],[.,.]]]=>[[[]],[[]],[[[]],[[]],[],[[]]]]
[[.,[.,.]],[[.,.],[[[[.,[.,.]],[.,.]],[.,.]],.]]]=>[[[]],[[],[[[]],[[]],[[]],[]]]]
[[.,[.,.]],[[.,.],[[[.,[.,.]],[[.,[.,.]],.]],.]]]=>[[[]],[[],[[[]],[[[]],[]],[]]]]
[[[.,[.,.]],[.,.]],[[[.,[[.,[.,.]],.]],.],[.,.]]]=>[[[]],[[]],[[[[]],[]],[],[[]]]]
[[.,[.,.]],[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]]]=>[[[]],[[],[[[[]],[]],[[]],[]]]]
[[.,[.,.]],[[.,.],[[.,[[[.,[.,.]],[.,.]],.]],.]]]=>[[[]],[[],[[[[]],[[]],[]],[]]]]
[[.,[.,.]],[[.,.],[[.,[[.,[[.,[.,.]],.]],.]],.]]]=>[[[]],[[],[[[[[]],[]],[]],[]]]]
[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[[.,.],[.,.]]]=>[[[]],[[[]],[]],[[]],[[],[[]]]]
[[[.,[.,.]],[[.,[.,.]],.]],[[.,.],[[.,[.,.]],.]]]=>[[[]],[[[]],[]],[[],[[[]],[]]]]
[[[.,[.,.]],[[.,[.,.]],.]],[[[.,[.,.]],.],[.,.]]]=>[[[]],[[[]],[]],[[[]],[],[[]]]]
[[.,[.,.]],[[[.,[.,.]],.],[[[.,[.,.]],[.,.]],.]]]=>[[[]],[[[]],[],[[[]],[[]],[]]]]
[[.,[.,.]],[[[.,[.,.]],.],[[.,[[.,[.,.]],.]],.]]]=>[[[]],[[[]],[],[[[[]],[]],[]]]]
[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[[.,.],[.,.]]]=>[[[]],[[[]],[[]],[]],[[],[[]]]]
[[.,[.,.]],[[[[.,[.,.]],[.,.]],.],[[.,[.,.]],.]]]=>[[[]],[[[]],[[]],[],[[[]],[]]]]
[[.,[.,.]],[[[[[.,[.,.]],[.,.]],[.,.]],.],[.,.]]]=>[[[]],[[[]],[[]],[[]],[],[[]]]]
[.,[[.,.],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]]]=>[[[],[[[]],[[]],[[]],[[]],[]]]]
[.,[[.,.],[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]]]=>[[[],[[[]],[[]],[[[]],[]],[]]]]
[[.,[.,.]],[[[[.,[.,.]],[[.,[.,.]],.]],.],[.,.]]]=>[[[]],[[[]],[[[]],[]],[],[[]]]]
[.,[[.,.],[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]]]=>[[[],[[[]],[[[]],[]],[[]],[]]]]
[.,[[.,.],[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]]]=>[[[],[[[]],[[[]],[[]],[]],[]]]]
[.,[[.,.],[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]]]=>[[[],[[[]],[[[[]],[]],[]],[]]]]
[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[[.,.],[.,.]]]=>[[[]],[[[[]],[]],[]],[[],[[]]]]
[[.,[.,.]],[[[.,[[.,[.,.]],.]],.],[[.,[.,.]],.]]]=>[[[]],[[[[]],[]],[],[[[]],[]]]]
[[.,[.,.]],[[[[.,[[.,[.,.]],.]],[.,.]],.],[.,.]]]=>[[[]],[[[[]],[]],[[]],[],[[]]]]
[.,[[.,.],[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]]]=>[[[],[[[[]],[]],[[]],[[]],[]]]]
[.,[[.,.],[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]]]=>[[[],[[[[]],[]],[[[]],[]],[]]]]
[[.,[.,.]],[[[.,[[[.,[.,.]],[.,.]],.]],.],[.,.]]]=>[[[]],[[[[]],[[]],[]],[],[[]]]]
[.,[[.,.],[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]]]=>[[[],[[[[]],[[]],[]],[[]],[]]]]
[.,[[.,.],[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]]]=>[[[],[[[[]],[[]],[[]],[]],[]]]]
[.,[[.,.],[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]]]=>[[[],[[[[]],[[[]],[]],[]],[]]]]
[[.,[.,.]],[[[.,[[.,[[.,[.,.]],.]],.]],.],[.,.]]]=>[[[]],[[[[[]],[]],[]],[],[[]]]]
[.,[[.,.],[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]]]=>[[[],[[[[[]],[]],[]],[[]],[]]]]
[.,[[.,.],[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]]]=>[[[],[[[[[]],[]],[[]],[]],[]]]]
[.,[[.,.],[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]]]=>[[[],[[[[[]],[[]],[]],[]],[]]]]
[.,[[.,.],[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]]]=>[[[],[[[[[[]],[]],[]],[]],[]]]]
[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[]],[]],[[]],[[]],[[],[[]]]]
[[[.,[[.,[.,.]],.]],[.,.]],[[.,.],[[.,[.,.]],.]]]=>[[[[]],[]],[[]],[[],[[[]],[]]]]
[[[.,[[.,[.,.]],.]],[.,.]],[[[.,[.,.]],.],[.,.]]]=>[[[[]],[]],[[]],[[[]],[],[[]]]]
[[.,[[.,[.,.]],.]],[[.,.],[[[.,[.,.]],[.,.]],.]]]=>[[[[]],[]],[[],[[[]],[[]],[]]]]
[[.,[[.,[.,.]],.]],[[.,.],[[.,[[.,[.,.]],.]],.]]]=>[[[[]],[]],[[],[[[[]],[]],[]]]]
[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[[.,.],[.,.]]]=>[[[[]],[]],[[[]],[]],[[],[[]]]]
[[.,[[.,[.,.]],.]],[[[.,[.,.]],.],[[.,[.,.]],.]]]=>[[[[]],[]],[[[]],[],[[[]],[]]]]
[[.,[[.,[.,.]],.]],[[[[.,[.,.]],[.,.]],.],[.,.]]]=>[[[[]],[]],[[[]],[[]],[],[[]]]]
[.,[[[.,[.,.]],.],[[[[.,[.,.]],[.,.]],[.,.]],.]]]=>[[[[]],[],[[[]],[[]],[[]],[]]]]
[.,[[[.,[.,.]],.],[[[.,[.,.]],[[.,[.,.]],.]],.]]]=>[[[[]],[],[[[]],[[[]],[]],[]]]]
[[.,[[.,[.,.]],.]],[[[.,[[.,[.,.]],.]],.],[.,.]]]=>[[[[]],[]],[[[[]],[]],[],[[]]]]
[.,[[[.,[.,.]],.],[[[.,[[.,[.,.]],.]],[.,.]],.]]]=>[[[[]],[],[[[[]],[]],[[]],[]]]]
[.,[[[.,[.,.]],.],[[.,[[[.,[.,.]],[.,.]],.]],.]]]=>[[[[]],[],[[[[]],[[]],[]],[]]]]
[.,[[[.,[.,.]],.],[[.,[[.,[[.,[.,.]],.]],.]],.]]]=>[[[[]],[],[[[[[]],[]],[]],[]]]]
[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[[.,.],[.,.]]]=>[[[[]],[[]],[]],[[]],[[],[[]]]]
[[.,[[[.,[.,.]],[.,.]],.]],[[.,.],[[.,[.,.]],.]]]=>[[[[]],[[]],[]],[[],[[[]],[]]]]
[[.,[[[.,[.,.]],[.,.]],.]],[[[.,[.,.]],.],[.,.]]]=>[[[[]],[[]],[]],[[[]],[],[[]]]]
[.,[[[[.,[.,.]],[.,.]],.],[[[.,[.,.]],[.,.]],.]]]=>[[[[]],[[]],[],[[[]],[[]],[]]]]
[.,[[[[.,[.,.]],[.,.]],.],[[.,[[.,[.,.]],.]],.]]]=>[[[[]],[[]],[],[[[[]],[]],[]]]]
[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[[.,.],[.,.]]]=>[[[[]],[[]],[[]],[]],[[],[[]]]]
[.,[[[[[.,[.,.]],[.,.]],[.,.]],.],[[.,[.,.]],.]]]=>[[[[]],[[]],[[]],[],[[[]],[]]]]
[.,[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.],[.,.]]]=>[[[[]],[[]],[[]],[[]],[],[[]]]]
[.,[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.],[.,.]]]=>[[[[]],[[]],[[[]],[]],[],[[]]]]
[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[[.,.],[.,.]]]=>[[[[]],[[[]],[]],[]],[[],[[]]]]
[.,[[[[.,[.,.]],[[.,[.,.]],.]],.],[[.,[.,.]],.]]]=>[[[[]],[[[]],[]],[],[[[]],[]]]]
[.,[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.],[.,.]]]=>[[[[]],[[[]],[]],[[]],[],[[]]]]
[.,[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.],[.,.]]]=>[[[[]],[[[]],[[]],[]],[],[[]]]]
[.,[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.],[.,.]]]=>[[[[]],[[[[]],[]],[]],[],[[]]]]
[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[[.,.],[.,.]]]=>[[[[[]],[]],[]],[[]],[[],[[]]]]
[[.,[[.,[[.,[.,.]],.]],.]],[[.,.],[[.,[.,.]],.]]]=>[[[[[]],[]],[]],[[],[[[]],[]]]]
[[.,[[.,[[.,[.,.]],.]],.]],[[[.,[.,.]],.],[.,.]]]=>[[[[[]],[]],[]],[[[]],[],[[]]]]
[.,[[[.,[[.,[.,.]],.]],.],[[[.,[.,.]],[.,.]],.]]]=>[[[[[]],[]],[],[[[]],[[]],[]]]]
[.,[[[.,[[.,[.,.]],.]],.],[[.,[[.,[.,.]],.]],.]]]=>[[[[[]],[]],[],[[[[]],[]],[]]]]
[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[[.,.],[.,.]]]=>[[[[[]],[]],[[]],[]],[[],[[]]]]
[.,[[[[.,[[.,[.,.]],.]],[.,.]],.],[[.,[.,.]],.]]]=>[[[[[]],[]],[[]],[],[[[]],[]]]]
[.,[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.],[.,.]]]=>[[[[[]],[]],[[]],[[]],[],[[]]]]
[.,[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.],[.,.]]]=>[[[[[]],[]],[[[]],[]],[],[[]]]]
[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[[.,.],[.,.]]]=>[[[[[]],[[]],[]],[]],[[],[[]]]]
[.,[[[.,[[[.,[.,.]],[.,.]],.]],.],[[.,[.,.]],.]]]=>[[[[[]],[[]],[]],[],[[[]],[]]]]
[.,[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.],[.,.]]]=>[[[[[]],[[]],[]],[[]],[],[[]]]]
[.,[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.],[.,.]]]=>[[[[[]],[[]],[[]],[]],[],[[]]]]
[.,[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.],[.,.]]]=>[[[[[]],[[[]],[]],[]],[],[[]]]]
[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[[.,.],[.,.]]]=>[[[[[[]],[]],[]],[]],[[],[[]]]]
[.,[[[.,[[.,[[.,[.,.]],.]],.]],.],[[.,[.,.]],.]]]=>[[[[[[]],[]],[]],[],[[[]],[]]]]
[.,[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.],[.,.]]]=>[[[[[[]],[]],[]],[[]],[],[[]]]]
[.,[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.],[.,.]]]=>[[[[[[]],[]],[[]],[]],[],[[]]]]
[.,[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.],[.,.]]]=>[[[[[[]],[[]],[]],[]],[],[[]]]]
[.,[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.],[.,.]]]=>[[[[[[[]],[]],[]],[]],[],[[]]]]
[[[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]],.],.]=>[[[]],[[],[[]]],[[]],[[]],[],[]]
[[[[[[.,.],[.,.]],[.,.]],[.,.]],.],[[.,.],[.,.]]]=>[[],[[]],[[]],[[]],[],[[],[[]]]]
[[[[[.,[.,.]],[[.,[[.,.],[.,.]]],.]],[.,.]],.],.]=>[[[]],[[[],[[]]],[]],[[]],[],[]]
[[[[[[.,.],[.,.]],[.,.]],[.,[[.,.],[.,.]]]],.],.]=>[[],[[]],[[]],[[[],[[]]]],[],[]]
[[[[[.,.],[.,.]],[.,.]],.],[[[.,.],[.,.]],[.,.]]]=>[[],[[]],[[]],[],[[],[[]],[[]]]]
[[[[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]],.],.]=>[[[]],[[],[[]],[[]],[[]]],[],[]]
[[[[[.,.],[.,.]],[.,.]],.],[[.,[[.,.],[.,.]]],.]]=>[[],[[]],[[]],[],[[[],[[]]],[]]]
[[[[.,[.,.]],[[[.,[[.,.],[.,.]]],.],[.,.]]],.],.]=>[[[]],[[[],[[]]],[],[[]]],[],[]]
[[[[.,[.,.]],[[.,[[[.,.],[.,.]],[.,.]]],.]],.],.]=>[[[]],[[[],[[]],[[]]],[]],[],[]]
[[[[.,[.,.]],[[.,[[.,[[.,.],[.,.]]],.]],.]],.],.]=>[[[]],[[[[],[[]]],[]],[]],[],[]]
[[[[[[.,.],[.,.]],[.,[[.,.],[.,.]]]],[.,.]],.],.]=>[[],[[]],[[[],[[]]]],[[]],[],[]]
[[[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]],.],.]=>[[[]],[[],[[]]],[[],[[]]],[],[]]
[[[[.,[.,.]],[[.,.],[.,.]]],[.,[[.,.],[.,.]]]],.]=>[[[]],[[],[[]]],[[[],[[]]]],[]]
[[[[[.,.],[.,.]],[.,[[[.,.],[.,.]],[.,.]]]],.],.]=>[[],[[]],[[[],[[]],[[]]]],[],[]]
[[[[.,.],[.,.]],.],[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[[],[[]],[],[[],[[]],[[]],[[]]]]
[.,[[.,[.,.]],[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]]]=>[[[[]],[[],[[]],[[[],[[]]]]]]]
[[[[[.,.],[.,.]],[.,[[.,[[.,.],[.,.]]],.]]],.],.]=>[[],[[]],[[[[],[[]]],[]]],[],[]]
[[[[.,.],[.,.]],.],[[[.,[[.,.],[.,.]]],.],[.,.]]]=>[[],[[]],[],[[[],[[]]],[],[[]]]]
[[[[.,.],[.,.]],.],[[.,[[[.,.],[.,.]],[.,.]]],.]]=>[[],[[]],[],[[[],[[]],[[]]],[]]]
[[[.,[.,.]],[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]],.]=>[[[]],[[[],[[]],[[]],[[]]]],[]]
[[[.,[.,.]],[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]],.]=>[[[]],[[[],[[]],[[],[[]]]]],[]]
[[[[.,.],[.,.]],.],[[.,[[.,[[.,.],[.,.]]],.]],.]]=>[[],[[]],[],[[[[],[[]]],[]],[]]]
[[[.,[.,.]],[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]],.]=>[[[]],[[[[],[[]]],[],[[]]]],[]]
[[[.,[.,.]],[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]],.]=>[[[]],[[[[],[[]],[[]]],[]]],[]]
[[[.,[.,.]],[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]],.]=>[[[]],[[[[[],[[]]],[]],[]]],[]]
[[[[[[.,[[.,[.,.]],[.,.]]],.],[.,.]],[.,.]],.],.]=>[[[[]],[[]]],[],[[]],[[]],[],[]]
[[[[[.,[[.,[.,.]],[[.,.],[.,.]]]],.],[.,.]],.],.]=>[[[[]],[[],[[]]]],[],[[]],[],[]]
[[[[[.,[[.,.],[.,.]]],.],[.,.]],.],[[.,.],[.,.]]]=>[[[],[[]]],[],[[]],[],[[],[[]]]]
[[[[.,[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]],.],.],.]=>[[[[]],[[],[[]],[[]]]],[],[],[]]
[[[[.,[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]],.],.],.]=>[[[[]],[[[],[[]]],[]]],[],[],[]]
[[[[[.,[[.,.],[.,.]]],.],[.,[[.,.],[.,.]]]],.],.]=>[[[],[[]]],[],[[[],[[]]]],[],[]]
[[[[.,[[.,.],[.,.]]],.],.],[[[.,.],[.,.]],[.,.]]]=>[[[],[[]]],[],[],[[],[[]],[[]]]]
[.,[.,[[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]]]]=>[[[[[]],[[],[[]],[[]],[[]]]]]]
[[[[.,[[.,.],[.,.]]],.],.],[[.,[[.,.],[.,.]]],.]]=>[[[],[[]]],[],[],[[[],[[]]],[]]]
[.,[.,[[.,[.,.]],[[[.,[[.,.],[.,.]]],.],[.,.]]]]]=>[[[[[]],[[[],[[]]],[],[[]]]]]]
[.,[.,[[.,[.,.]],[[.,[[[.,.],[.,.]],[.,.]]],.]]]]=>[[[[[]],[[[],[[]],[[]]],[]]]]]
[.,[.,[[.,[.,.]],[[.,[[.,[[.,.],[.,.]]],.]],.]]]]=>[[[[[]],[[[[],[[]]],[]],[]]]]]
[[[[[.,[[[.,[.,.]],[.,.]],[.,.]]],.],[.,.]],.],.]=>[[[[]],[[]],[[]]],[],[[]],[],[]]
[[[[.,[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]],.],.],.]=>[[[[]],[[],[[]]],[[]]],[],[],[]]
[[[[.,[[[.,.],[.,.]],[.,.]]],.],.],[[.,.],[.,.]]]=>[[[],[[]],[[]]],[],[],[[],[[]]]]
[.,[.,[[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]]]]=>[[[[[]],[[],[[]],[[]]],[[]]]]]
[.,[.,[[[.,[.,.]],[[.,[[.,.],[.,.]]],.]],[.,.]]]]=>[[[[[]],[[[],[[]]],[]],[[]]]]]
[[[[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.],.],.]=>[[[[]],[[]],[[]],[[]]],[],[],[]]
[.,[.,[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]]]]=>[[[[[]],[[],[[]]],[[]],[[]]]]]
[.,[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]]]=>[[[[[]],[[]],[[]],[[]],[[]]]]]
[.,[.,[[[[.,.],[.,.]],[.,.]],[.,[[.,.],[.,.]]]]]]=>[[[[],[[]],[[]],[[[],[[]]]]]]]
[[.,[[[.,.],[.,.]],[.,.]]],[[.,[[.,.],[.,.]]],.]]=>[[[],[[]],[[]]],[[[],[[]]],[]]]
[[[[.,[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]],.],.],.]=>[[[],[[]],[[[],[[]]]]],[],[],[]]
[.,[.,[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]]]]=>[[[[[]],[[],[[]]],[[],[[]]]]]]
[.,[.,[[[[.,.],[.,.]],[.,[[.,.],[.,.]]]],[.,.]]]]=>[[[[],[[]],[[[],[[]]]],[[]]]]]
[.,[.,[[[.,.],[.,.]],[.,[[[.,.],[.,.]],[.,.]]]]]]=>[[[[],[[]],[[[],[[]],[[]]]]]]]
[[.,[[.,[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]]],.]=>[[[[]],[[],[[]],[[],[[]]]]],[]]
[.,[.,[[[.,.],[.,.]],[.,[[.,[[.,.],[.,.]]],.]]]]]=>[[[[],[[]],[[[[],[[]]],[]]]]]]
[[.,[[[.,.],[.,.]],[[.,[[.,.],[.,.]]],.]]],[.,.]]=>[[[],[[]],[[[],[[]]],[]]],[[]]]
[[.,[[.,.],[.,.]]],[[[.,[[.,.],[.,.]]],.],[.,.]]]=>[[[],[[]]],[[[],[[]]],[],[[]]]]
[[.,[[.,.],[.,.]]],[[.,[[[.,.],[.,.]],[.,.]]],.]]=>[[[],[[]]],[[[],[[]],[[]]],[]]]
[[.,[[.,.],[.,.]]],[[.,[[.,[[.,.],[.,.]]],.]],.]]=>[[[],[[]]],[[[[],[[]]],[]],[]]]
[[[[[.,[[.,[[.,[.,.]],[.,.]]],.]],.],[.,.]],.],.]=>[[[[[]],[[]]],[]],[],[[]],[],[]]
[[[[.,[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]],.],.],.]=>[[[[[]],[[],[[]]]],[]],[],[],[]]
[[[[.,[[.,[[.,.],[.,.]]],.]],.],.],[[.,.],[.,.]]]=>[[[[],[[]]],[]],[],[],[[],[[]]]]
[.,[.,[[.,[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]],.]]]=>[[[[[[]],[[],[[]],[[]]]],[]]]]
[.,[.,[[.,[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]],.]]]=>[[[[[[]],[[[],[[]]],[]]],[]]]]
[[[[.,[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]],.],.],.]=>[[[[[]],[[]]],[],[[]]],[],[],[]]
[.,[.,[[[.,[[.,[.,.]],[[.,.],[.,.]]]],.],[.,.]]]]=>[[[[[[]],[[],[[]]]],[],[[]]]]]
[.,[.,[[[[.,[[.,[.,.]],[.,.]]],.],[.,.]],[.,.]]]]=>[[[[[[]],[[]]],[],[[]],[[]]]]]
[[.,[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]]],[.,.]]=>[[[[],[[]]],[],[[]],[[]]],[[]]]
[[.,[[[.,[[.,.],[.,.]]],.],[.,.]]],[[.,.],[.,.]]]=>[[[[],[[]]],[],[[]]],[[],[[]]]]
[.,[.,[[[.,[[.,.],[.,.]]],.],[.,[[.,.],[.,.]]]]]]=>[[[[[],[[]]],[],[[[],[[]]]]]]]
[[.,[[[.,[[.,.],[.,.]]],.],[[.,.],[.,.]]]],[.,.]]=>[[[[],[[]]],[],[[],[[]]]],[[]]]
[[.,[[.,[[.,.],[.,.]]],.]],[[[.,.],[.,.]],[.,.]]]=>[[[[],[[]]],[]],[[],[[]],[[]]]]
[[.,[[.,[[.,.],[.,.]]],.]],[[.,[[.,.],[.,.]]],.]]=>[[[[],[[]]],[]],[[[],[[]]],[]]]
[[[[.,[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]],.],.],.]=>[[[[[]],[[]],[[]]],[]],[],[],[]]
[.,[.,[[.,[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]],.]]]=>[[[[[[]],[[],[[]]],[[]]],[]]]]
[.,[.,[[[.,[[[.,[.,.]],[.,.]],[.,.]]],.],[.,.]]]]=>[[[[[[]],[[]],[[]]],[],[[]]]]]
[[.,[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]]],[.,.]]=>[[[[],[[]],[[]]],[],[[]]],[[]]]
[[.,[[.,[[[.,.],[.,.]],[.,.]]],.]],[[.,.],[.,.]]]=>[[[[],[[]],[[]]],[]],[[],[[]]]]
[.,[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.]]]=>[[[[[[]],[[]],[[]],[[]]],[]]]]
[[.,[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.]],[.,.]]=>[[[[],[[]],[[]],[[]]],[]],[[]]]
[[.,[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]]],.]=>[[[[],[[]],[[]],[[]],[[]]]],[]]
[[.,[.,[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]]],.]=>[[[[],[[]],[[]],[[],[[]]]]],[]]
[.,[.,[[.,[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]],.]]]=>[[[[[],[[]],[[[],[[]]]]],[]]]]
[[.,[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],.]],[.,.]]=>[[[[],[[]],[[],[[]]]],[]],[[]]]
[[.,[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]]],.]=>[[[[],[[]],[[],[[]]],[[]]]],[]]
[[.,[.,[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]]],.]=>[[[[],[[]],[[],[[]],[[]]]]],[]]
[[.,[.,[[[.,.],[.,.]],[[.,[[.,.],[.,.]]],.]]]],.]=>[[[[],[[]],[[[],[[]]],[]]]],[]]
[[[[.,[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]],.],.],.]=>[[[[[[]],[[]]],[]],[]],[],[],[]]
[.,[.,[[.,[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]],.]]]=>[[[[[[[]],[[],[[]]]],[]],[]]]]
[.,[.,[[[.,[[.,[[.,[.,.]],[.,.]]],.]],.],[.,.]]]]=>[[[[[[[]],[[]]],[]],[],[[]]]]]
[[.,[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,.]]],[.,.]]=>[[[[[],[[]]],[]],[],[[]]],[[]]]
[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],[[.,.],[.,.]]]=>[[[[[],[[]]],[]],[]],[[],[[]]]]
[.,[.,[[.,[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]],.]]]=>[[[[[[[]],[[]]],[],[[]]],[]]]]
[[.,[[.,[[[.,[[.,.],[.,.]]],.],[.,.]]],.]],[.,.]]=>[[[[[],[[]]],[],[[]]],[]],[[]]]
[[.,[.,[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]]]],.]=>[[[[[],[[]]],[],[[]],[[]]]],[]]
[[.,[.,[[[.,[[.,.],[.,.]]],.],[[.,.],[.,.]]]]],.]=>[[[[[],[[]]],[],[[],[[]]]]],[]]
[.,[.,[[.,[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]],.]]]=>[[[[[[[]],[[]],[[]]],[]],[]]]]
[[.,[[.,[[.,[[[.,.],[.,.]],[.,.]]],.]],.]],[.,.]]=>[[[[[],[[]],[[]]],[]],[]],[[]]]
[[.,[.,[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]]]],.]=>[[[[[],[[]],[[]]],[],[[]]]],[]]
[[.,[.,[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.]]],.]=>[[[[[],[[]],[[]],[[]]],[]]],[]]
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[[[[.,[.,.]],[.,.]],.],[[[.,[.,.]],[.,.]],[.,.]]]=>[[[]],[[]],[],[[[]],[[]],[[]]]]
[[[.,[.,.]],.],[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]]=>[[[]],[],[[[]],[[[]],[]],[[]]]]
[[[.,[.,[[.,[.,.]],.]]],.],[[[.,[.,.]],[.,.]],.]]=>[[[[[]],[]]],[],[[[]],[[]],[]]]
[[.,.],[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]]]=>[[],[[[]],[[[]],[[]],[]],[[]]]]
[[.,.],[[[.,[.,.]],[[.,.],[[.,[.,.]],.]]],[.,.]]]=>[[],[[[]],[[],[[[]],[]]],[[]]]]
[[[.,[.,.]],.],[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]]=>[[[]],[],[[[]],[[]],[[]],[[]]]]
[[.,.],[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]]]=>[[],[[[]],[[]],[[[]],[]],[[]]]]
[[.,.],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]]=>[[],[[[]],[[]],[[]],[[]],[[]]]]
[[.,.],[[[[.,[.,[[.,[.,.]],.]]],[.,.]],[.,.]],.]]=>[[],[[[[[]],[]]],[[]],[[]],[]]]
[.,[[[[.,[[.,.],[[.,[.,.]],.]]],[.,.]],[.,.]],.]]=>[[[[],[[[]],[]]],[[]],[[]],[]]]
[[[.,[.,.]],.],[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]]=>[[[]],[],[[[[[]],[]]],[[]],[]]]
[[.,.],[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]]]=>[[],[[[[]],[]],[[[]],[]],[[]]]]
[[.,.],[[[[.,[.,.]],[.,[[.,[.,.]],.]]],[.,.]],.]]=>[[],[[[]],[[[[]],[]]],[[]],[]]]
[[.,.],[[[.,[.,[[[.,[.,.]],[.,.]],.]]],[.,.]],.]]=>[[],[[[[[]],[[]],[]]],[[]],[]]]
[.,[[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]]]=>[[[],[[[[]],[]],[[]],[]],[[]]]]
[[.,.],[[[.,[.,[[.,.],[[.,[.,.]],.]]]],[.,.]],.]]=>[[],[[[[],[[[]],[]]]],[[]],[]]]
[.,[[[[.,[.,.]],[[.,.],[[.,[.,.]],.]]],[.,.]],.]]=>[[[[]],[[],[[[]],[]]],[[]],[]]]
[.,[[[.,[[[.,[.,.]],.],[[.,[.,.]],.]]],[.,.]],.]]=>[[[[[]],[],[[[]],[]]],[[]],[]]]
[.,[[[.,[[.,.],[[[.,[.,.]],[.,.]],.]]],[.,.]],.]]=>[[[[],[[[]],[[]],[]]],[[]],[]]]
[.,[[[.,[[.,.],[[.,.],[[.,[.,.]],.]]]],[.,.]],.]]=>[[[[],[[],[[[]],[]]]],[[]],[]]]
[[[[.,[.,.]],[.,.]],.],[[.,.],[[.,[.,.]],[.,.]]]]=>[[[]],[[]],[],[[],[[[]],[[]]]]]
[[[.,[.,.]],.],[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]]=>[[[]],[],[[],[[[[]],[]],[[]]]]]
[[[.,[.,[[.,[.,.]],.]]],.],[[.,.],[[.,[.,.]],.]]]=>[[[[[]],[]]],[],[[],[[[]],[]]]]
[[.,.],[[.,.],[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]]]=>[[],[[],[[[[]],[[]],[]],[[]]]]]
[[.,.],[[.,.],[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]]]=>[[],[[],[[[],[[[]],[]]],[[]]]]]
[[[.,[.,.]],.],[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]]=>[[[]],[],[[[]],[],[[[]],[[]]]]]
[[.,.],[[[.,[.,.]],.],[[.,[[.,[.,.]],.]],[.,.]]]]=>[[],[[[]],[],[[[[]],[]],[[]]]]]
[[.,.],[[[[.,[.,.]],[.,.]],.],[[.,[.,.]],[.,.]]]]=>[[],[[[]],[[]],[],[[[]],[[]]]]]
[[.,.],[[[.,[.,[[.,[.,.]],.]]],.],[[.,[.,.]],.]]]=>[[],[[[[[]],[]]],[],[[[]],[]]]]
[.,[[[.,[[.,.],[[.,[.,.]],.]]],.],[[.,[.,.]],.]]]=>[[[[],[[[]],[]]],[],[[[]],[]]]]
[[[.,[.,.]],.],[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]]=>[[[]],[],[[],[[[]],[[]],[[]]]]]
[[.,.],[[.,.],[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]]]=>[[],[[],[[[]],[[[]],[]],[[]]]]]
[[.,.],[[[.,[.,.]],.],[[[.,[.,.]],[.,.]],[.,.]]]]=>[[],[[[]],[],[[[]],[[]],[[]]]]]
[[.,.],[[.,.],[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]]]=>[[],[[],[[[]],[[]],[[]],[[]]]]]
[[.,.],[[.,.],[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]]]=>[[],[[],[[[[[]],[]]],[[]],[]]]]
[.,[[.,.],[[[.,[[.,.],[[.,[.,.]],.]]],[.,.]],.]]]=>[[[],[[[],[[[]],[]]],[[]],[]]]]
[[.,.],[[.,.],[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]]]=>[[],[[],[[],[[[[]],[]],[[]]]]]]
[[.,.],[[[.,[.,.]],.],[[.,.],[[.,[.,.]],[.,.]]]]]=>[[],[[[]],[],[[],[[[]],[[]]]]]]
[.,[[[[.,[.,.]],[.,.]],.],[[.,.],[[.,[.,.]],.]]]]=>[[[[]],[[]],[],[[],[[[]],[]]]]]
[.,[[[.,[[.,[.,.]],.]],.],[[.,.],[[.,[.,.]],.]]]]=>[[[[[]],[]],[],[[],[[[]],[]]]]]
[[.,.],[[.,.],[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]]]=>[[],[[],[[[]],[],[[[]],[[]]]]]]
[.,[[[.,[.,.]],.],[[[.,[.,.]],.],[[.,[.,.]],.]]]]=>[[[[]],[],[[[]],[],[[[]],[]]]]]
[.,[[.,.],[[[[.,[.,.]],[.,.]],.],[[.,[.,.]],.]]]]=>[[[],[[[]],[[]],[],[[[]],[]]]]]
[.,[[.,.],[[[.,[[.,[.,.]],.]],.],[[.,[.,.]],.]]]]=>[[[],[[[[]],[]],[],[[[]],[]]]]]
[[.,.],[[.,.],[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]]]=>[[],[[],[[],[[[]],[[]],[[]]]]]]
[.,[[[.,[.,.]],.],[[.,.],[[[.,[.,.]],[.,.]],.]]]]=>[[[[]],[],[[],[[[]],[[]],[]]]]]
[.,[[.,.],[[[.,[.,.]],.],[[[.,[.,.]],[.,.]],.]]]]=>[[[],[[[]],[],[[[]],[[]],[]]]]]
[.,[[.,.],[[.,.],[[[[.,[.,.]],[.,.]],[.,.]],.]]]]=>[[[],[[],[[[]],[[]],[[]],[]]]]]
[.,[[.,.],[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]]]]=>[[[],[[],[[[[]],[]],[[]],[]]]]]
[.,[[[.,[.,.]],.],[[.,.],[[.,.],[[.,[.,.]],.]]]]]=>[[[[]],[],[[],[[],[[[]],[]]]]]]
[.,[[.,.],[[[.,[.,.]],.],[[.,.],[[.,[.,.]],.]]]]]=>[[[],[[[]],[],[[],[[[]],[]]]]]]
[.,[[.,.],[[.,.],[[[.,[.,.]],.],[[.,[.,.]],.]]]]]=>[[[],[[],[[[]],[],[[[]],[]]]]]]
[.,[[.,.],[[.,.],[[.,.],[[[.,[.,.]],[.,.]],.]]]]]=>[[[],[[],[[],[[[]],[[]],[]]]]]]
[[[[.,.],[.,.]],[.,.]],[[.,.],[.,[[.,.],[.,.]]]]]=>[[],[[]],[[]],[[],[[[],[[]]]]]]
[[[[.,.],[.,.]],[.,.]],[[.,[[.,.],[.,.]]],[.,.]]]=>[[],[[]],[[]],[[[],[[]]],[[]]]]
[[[.,.],[.,.]],[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]]=>[[],[[]],[[],[[[],[[]],[[]]]]]]
[[[.,.],[.,.]],[[.,.],[.,[[.,[[.,.],[.,.]]],.]]]]=>[[],[[]],[[],[[[[],[[]]],[]]]]]
[[[.,.],[.,.]],[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]]=>[[],[[]],[[[],[[]]],[[],[[]]]]]
[[[.,.],[.,.]],[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]]=>[[],[[]],[[[],[[]],[[]]],[[]]]]
[[.,.],[[.,.],[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]]]=>[[],[[],[[[],[[]],[[]],[[]]]]]]
[[.,[.,.]],[[[[.,.],[.,.]],[.,[[.,.],[.,.]]]],.]]=>[[[]],[[],[[]],[[[],[[]]]],[]]]
[.,[[.,.],[[[.,.],[.,.]],[[.,[[.,.],[.,.]]],.]]]]=>[[[],[[],[[]],[[[],[[]]],[]]]]]
[[[.,.],[.,.]],[[.,[[.,[[.,.],[.,.]]],.]],[.,.]]]=>[[],[[]],[[[[],[[]]],[]],[[]]]]
[[.,.],[[.,.],[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]]]=>[[],[[],[[[[],[[]]],[],[[]]]]]]
[.,[[.,.],[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]]]]=>[[[],[[[],[[]]],[],[[]],[[]]]]]
[.,[[.,.],[[[.,[[.,.],[.,.]]],.],[[.,.],[.,.]]]]]=>[[[],[[[],[[]]],[],[[],[[]]]]]]
[[.,.],[[.,.],[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]]]=>[[],[[],[[[[],[[]],[[]]],[]]]]]
[.,[[.,.],[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]]]]=>[[[],[[[],[[]],[[]]],[],[[]]]]]
[.,[[.,.],[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.]]]=>[[[],[[[],[[]],[[]],[[]]],[]]]]
[.,[[.,.],[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],.]]]=>[[[],[[[],[[]],[[],[[]]]],[]]]]
[[.,.],[[.,.],[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]]]=>[[],[[],[[[[[],[[]]],[]],[]]]]]
[.,[[.,.],[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,.]]]]=>[[[],[[[[],[[]]],[]],[],[[]]]]]
[.,[[.,.],[[.,[[[.,[[.,.],[.,.]]],.],[.,.]]],.]]]=>[[[],[[[[],[[]]],[],[[]]],[]]]]
[.,[[.,.],[[.,[[.,[[[.,.],[.,.]],[.,.]]],.]],.]]]=>[[[],[[[[],[[]],[[]]],[]],[]]]]
[.,[[.,.],[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]]]=>[[[],[[[[[],[[]]],[]],[]],[]]]]
[[[[.,[[.,[.,.]],[.,.]]],.],[.,.]],[[.,.],[.,.]]]=>[[[[]],[[]]],[],[[]],[[],[[]]]]
[[[.,[[.,.],[.,.]]],.],[[.,.],[.,[[.,.],[.,.]]]]]=>[[[],[[]]],[],[[],[[[],[[]]]]]]
[[.,[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]],[.,[.,.]]]=>[[[[]],[[],[[]],[[]]]],[[[]]]]
[[.,[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]],[.,[.,.]]]=>[[[[]],[[[],[[]]],[]]],[[[]]]]
[[[.,[[.,.],[.,.]]],.],[[.,[[.,.],[.,.]]],[.,.]]]=>[[[],[[]]],[],[[[],[[]]],[[]]]]
[[.,[[.,[.,.]],[[.,.],[.,.]]]],[.,[[.,.],[.,.]]]]=>[[[[]],[[],[[]]]],[[[],[[]]]]]
[[.,[[.,.],[.,.]]],[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>[[[],[[]]],[[[[],[[]],[[]]]]]]
[.,[[[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]],.]]=>[[[[]],[[],[[]],[[]],[[]]],[]]]
[[.,[[.,.],[.,.]]],[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>[[[],[[]]],[[[[[],[[]]],[]]]]]
[.,[[[.,[.,.]],[[[.,[[.,.],[.,.]]],.],[.,.]]],.]]=>[[[[]],[[[],[[]]],[],[[]]],[]]]
[.,[[[.,[.,.]],[[.,[[[.,.],[.,.]],[.,.]]],.]],.]]=>[[[[]],[[[],[[]],[[]]],[]],[]]]
[.,[[[.,[.,.]],[[.,[[.,[[.,.],[.,.]]],.]],.]],.]]=>[[[[]],[[[[],[[]]],[]],[]],[]]]
[[[.,[[[.,[.,.]],[.,.]],[.,.]]],.],[[.,.],[.,.]]]=>[[[[]],[[]],[[]]],[],[[],[[]]]]
[[.,[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]],[.,[.,.]]]=>[[[[]],[[],[[]]],[[]]],[[[]]]]
[[.,[[[.,.],[.,.]],[.,.]]],[.,[.,[[.,.],[.,.]]]]]=>[[[],[[]],[[]]],[[[[],[[]]]]]]
[.,[[[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]],.]]=>[[[[]],[[],[[]],[[]]],[[]],[]]]
[.,[[[[.,[.,.]],[[.,[[.,.],[.,.]]],.]],[.,.]],.]]=>[[[[]],[[[],[[]]],[]],[[]],[]]]
[[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],[.,[.,.]]]=>[[[[]],[[]],[[]],[[]]],[[[]]]]
[.,[[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]],.]]=>[[[[]],[[],[[]]],[[]],[[]],[]]]
[[[[[[.,.],[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]],.]=>[[],[[]],[[]],[[]],[[],[[]]],[]]
[.,[[[[[.,.],[.,.]],[.,.]],[.,[[.,.],[.,.]]]],.]]=>[[[],[[]],[[]],[[[],[[]]]],[]]]
[[[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]],.]=>[[],[[]],[[]],[[],[[]]],[[]],[]]
[[[[[.,.],[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]],.]=>[[],[[]],[[]],[[],[[]],[[]]],[]]
[[[[[.,.],[.,.]],[.,.]],[[.,[[.,.],[.,.]]],.]],.]=>[[],[[]],[[]],[[[],[[]]],[]],[]]
[[.,[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]],[.,[.,.]]]=>[[[],[[]],[[[],[[]]]]],[[[]]]]
[.,[[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]],.]]=>[[[[]],[[],[[]]],[[],[[]]],[]]]
[.,[[[[[.,.],[.,.]],[.,[[.,.],[.,.]]]],[.,.]],.]]=>[[[],[[]],[[[],[[]]]],[[]],[]]]
[[[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]],.]=>[[],[[]],[[],[[]]],[[]],[[]],[]]
[[[[[.,.],[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]],.]=>[[],[[]],[[],[[]]],[[],[[]]],[]]
[.,[[[[.,.],[.,.]],[.,[[[.,.],[.,.]],[.,.]]]],.]]=>[[[],[[]],[[[],[[]],[[]]]],[]]]
[[[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]],.]=>[[],[[]],[[],[[]],[[]]],[[]],[]]
[[[[.,.],[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]],.]=>[[],[[]],[[],[[]],[[]],[[]]],[]]
[[[[.,[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]],.],.]=>[[[]],[[],[[]],[[],[[]]]],[],[]]
[.,[[[[.,.],[.,.]],[.,[[.,[[.,.],[.,.]]],.]]],.]]=>[[[],[[]],[[[[],[[]]],[]]],[]]]
[[[[[.,.],[.,.]],[[.,[[.,.],[.,.]]],.]],[.,.]],.]=>[[],[[]],[[[],[[]]],[]],[[]],[]]
[[[[.,.],[.,.]],[[[.,[[.,.],[.,.]]],.],[.,.]]],.]=>[[],[[]],[[[],[[]]],[],[[]]],[]]
[[[[.,.],[.,.]],[[.,[[[.,.],[.,.]],[.,.]]],.]],.]=>[[],[[]],[[[],[[]],[[]]],[]],[]]
[[[[.,.],[.,.]],[[.,[[.,[[.,.],[.,.]]],.]],.]],.]=>[[],[[]],[[[[],[[]]],[]],[]],[]]
[[[.,[[.,[[.,[.,.]],[.,.]]],.]],.],[[.,.],[.,.]]]=>[[[[[]],[[]]],[]],[],[[],[[]]]]
[[.,[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]],[.,[.,.]]]=>[[[[[]],[[],[[]]]],[]],[[[]]]]
[[.,[[.,[[.,.],[.,.]]],.]],[.,[.,[[.,.],[.,.]]]]]=>[[[[],[[]]],[]],[[[[],[[]]]]]]
[.,[[[.,[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]],.],.]]=>[[[[[]],[[],[[]],[[]]]],[],[]]]
[.,[[[.,[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]],.],.]]=>[[[[[]],[[[],[[]]],[]]],[],[]]]
[[.,[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]],[.,[.,.]]]=>[[[[[]],[[]]],[],[[]]],[[[]]]]
[.,[[[[.,[[.,[.,.]],[[.,.],[.,.]]]],.],[.,.]],.]]=>[[[[[]],[[],[[]]]],[],[[]],[]]]
[.,[[[[[.,[[.,[.,.]],[.,.]]],.],[.,.]],[.,.]],.]]=>[[[[[]],[[]]],[],[[]],[[]],[]]]
[[[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]],[.,.]],.]=>[[[],[[]]],[],[[]],[[]],[[]],[]]
[[[[[.,[[.,.],[.,.]]],.],[.,.]],[[.,.],[.,.]]],.]=>[[[],[[]]],[],[[]],[[],[[]]],[]]
[.,[[[[.,[[.,.],[.,.]]],.],[.,[[.,.],[.,.]]]],.]]=>[[[[],[[]]],[],[[[],[[]]]],[]]]
[[[[[.,[[.,.],[.,.]]],.],[[.,.],[.,.]]],[.,.]],.]=>[[[],[[]]],[],[[],[[]]],[[]],[]]
[[[[.,[[.,.],[.,.]]],.],[[[.,.],[.,.]],[.,.]]],.]=>[[[],[[]]],[],[[],[[]],[[]]],[]]
[[[[.,[[.,.],[.,.]]],.],[[.,[[.,.],[.,.]]],.]],.]=>[[[],[[]]],[],[[[],[[]]],[]],[]]
[[.,[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]],[.,[.,.]]]=>[[[[[]],[[]],[[]]],[]],[[[]]]]
[.,[[[.,[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]],.],.]]=>[[[[[]],[[],[[]]],[[]]],[],[]]]
[.,[[[[.,[[[.,[.,.]],[.,.]],[.,.]]],.],[.,.]],.]]=>[[[[[]],[[]],[[]]],[],[[]],[]]]
[[[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]],[.,.]],.]=>[[[],[[]],[[]]],[],[[]],[[]],[]]
[[[[.,[[[.,.],[.,.]],[.,.]]],.],[[.,.],[.,.]]],.]=>[[[],[[]],[[]]],[],[[],[[]]],[]]
[.,[[[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.],.]]=>[[[[[]],[[]],[[]],[[]]],[],[]]]
[[[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.],[.,.]],.]=>[[[],[[]],[[]],[[]]],[],[[]],[]]
[[[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]],.],.]=>[[[],[[]],[[]],[[]],[[]]],[],[]]
[[[.,[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]],.],.]=>[[[],[[]],[[]],[[],[[]]]],[],[]]
[.,[[[.,[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]],.],.]]=>[[[[],[[]],[[[],[[]]]]],[],[]]]
[[[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],.],[.,.]],.]=>[[[],[[]],[[],[[]]]],[],[[]],[]]
[[[.,[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]],.],.]=>[[[],[[]],[[],[[]]],[[]]],[],[]]
[[[.,[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]],.],.]=>[[[],[[]],[[],[[]],[[]]]],[],[]]
[[[.,[[[.,.],[.,.]],[[.,[[.,.],[.,.]]],.]]],.],.]=>[[[],[[]],[[[],[[]]],[]]],[],[]]
[[.,[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]],[.,[.,.]]]=>[[[[[[]],[[]]],[]],[]],[[[]]]]
[.,[[[.,[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]],.],.]]=>[[[[[[]],[[],[[]]]],[]],[],[]]]
[.,[[[[.,[[.,[[.,[.,.]],[.,.]]],.]],.],[.,.]],.]]=>[[[[[[]],[[]]],[]],[],[[]],[]]]
[[[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,.]],[.,.]],.]=>[[[[],[[]]],[]],[],[[]],[[]],[]]
[[[[.,[[.,[[.,.],[.,.]]],.]],.],[[.,.],[.,.]]],.]=>[[[[],[[]]],[]],[],[[],[[]]],[]]
[.,[[[.,[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]],.],.]]=>[[[[[[]],[[]]],[],[[]]],[],[]]]
[[[[.,[[[.,[[.,.],[.,.]]],.],[.,.]]],.],[.,.]],.]=>[[[[],[[]]],[],[[]]],[],[[]],[]]
[[[.,[[[[.,[[.,.],[.,.]]],.],[.,.]],[.,.]]],.],.]=>[[[[],[[]]],[],[[]],[[]]],[],[]]
[[[.,[[[.,[[.,.],[.,.]]],.],[[.,.],[.,.]]]],.],.]=>[[[[],[[]]],[],[[],[[]]]],[],[]]
[.,[[[.,[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]],.],.]]=>[[[[[[]],[[]],[[]]],[]],[],[]]]
[[[[.,[[.,[[[.,.],[.,.]],[.,.]]],.]],.],[.,.]],.]=>[[[[],[[]],[[]]],[]],[],[[]],[]]
[[[.,[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]]],.],.]=>[[[[],[[]],[[]]],[],[[]]],[],[]]
[[[.,[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],.]],.],.]=>[[[[],[[]],[[]],[[]]],[]],[],[]]
[[[.,[[.,[[[.,.],[.,.]],[[.,.],[.,.]]]],.]],.],.]=>[[[[],[[]],[[],[[]]]],[]],[],[]]
[.,[[[.,[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]],.],.]]=>[[[[[[[]],[[]]],[]],[]],[],[]]]
[[[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.],[.,.]],.]=>[[[[[],[[]]],[]],[]],[],[[]],[]]
[[[.,[[[.,[[.,[[.,.],[.,.]]],.]],.],[.,.]]],.],.]=>[[[[[],[[]]],[]],[],[[]]],[],[]]
[[[.,[[.,[[[.,[[.,.],[.,.]]],.],[.,.]]],.]],.],.]=>[[[[[],[[]]],[],[[]]],[]],[],[]]
[[[.,[[.,[[.,[[[.,.],[.,.]],[.,.]]],.]],.]],.],.]=>[[[[[],[[]],[[]]],[]],[]],[],[]]
[[[.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]],.],.]=>[[[[[[],[[]]],[]],[]],[]],[],[]]
[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]],.]=>[[],[],[],[],[],[],[],[],[],[[]],[]]
[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]=>[[[],[[[[[[[[[[]]]]]]]]]]]]
[.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]]=>[[[[[[[[[[[[]]]]]]]]]],[]]]
[[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]],.]=>[[[],[],[],[],[],[],[],[],[],[]],[]]
[[[[.,.],[.,.]],[[.,.],[[.,.],.]]],[[.,.],[.,.]]]=>[[],[[]],[[],[[],[]]],[[],[[]]]]
Description
Return an ordered tree of size $n+1$ by the following recursive rule:
- if $x$ is the left child of $y$, $x$ becomes the left brother of $y$,
- if $x$ is the right child of $y$, $x$ becomes the last child of $y$.
Properties
bijective, graded
Sage code
def mapping(elt): return elt.to_ordered_tree_left_branch()
Created
Jan 01, 2018 at 00:00 by FindStatCrew
Updated
Jan 06, 2020 at 14:05 by Martin Rubey
searching the database
Sorry, this map was not found in the database.