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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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[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],[[.,.],.]]=>[[[],[[]],[[]],[[]],[[]]],[[]]]
[[.,[[.,.],.]],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]]=>[[[],[[]]],[[],[[]],[[]],[[]]]]
[[.,[[.,.],.]],[[.,.],[[.,[[.,[[.,.],.]],.]],.]]]=>[[[],[[]]],[[]],[[],[[],[[]]]]]
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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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[[.,[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]],[.,[.,.]]]=>[[[],[[[],[]],[[]],[]],[]],[],[]]
[[.,[[[.,.],[.,.]],[.,.]]],[.,[.,[[.,.],[.,.]]]]]=>[[[],[[[]],[]],[]],[],[],[[]],[]]
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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 right child of $y$, $x$ becomes the right brother of $y$,
- if $x$ is the left child of $y$, $x$ becomes the first child of $y$.
Properties
bijective, graded
Sage code
def mapping(elt): return elt.to_ordered_tree_right_branch()
Created
Jan 19, 2020 at 07:29 by FindStatCrew
Updated
Jan 19, 2020 at 07:29 by Martin Rubey
searching the database
Sorry, this map was not found in the database.