Identifier
Mp00009: Binary trees —left rotate⟶ Binary trees
Mp00019: Binary trees —right rotate⟶ Binary trees
Images
=>
Cc0010;cc-rep-0Cc0010;cc-rep-1Cc0010;cc-rep-2
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[.,[[.,.],[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]]]]=>[[.,[.,.]],[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]]]=>[.,[[.,.],[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]]]] [.,[[.,.],[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]]]]=>[[.,[.,.]],[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]]]=>[.,[[.,.],[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]]]] [.,[[.,.],[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]]]]=>[[.,[.,.]],[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]]]=>[.,[[.,.],[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]]]] [.,[[.,.],[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]]]=>[[.,[.,.]],[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]]=>[.,[[.,.],[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]]] [.,[[.,.],[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]]]]=>[[.,[.,.]],[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]]]=>[.,[[.,.],[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]]]] [.,[[.,.],[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]]]=>[[.,[.,.]],[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]]=>[.,[[.,.],[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]]] [.,[[.,.],[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]]]]=>[[.,[.,.]],[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]]]=>[.,[[.,.],[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]]]] [.,[[.,.],[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]]]=>[[.,[.,.]],[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]]=>[.,[[.,.],[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]]]] [.,[[.,.],[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]]]=>[[.,[.,.]],[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]]=>[.,[[.,.],[[[.,.],[.,.]],[[[.,.],[.,.]],[.,.]]]]] [.,[[.,.],[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]]]=>[[.,[.,.]],[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]]=>[.,[[.,.],[[[[.,.],[.,.]],[[.,.],[.,.]]],[.,.]]]] [.,[[.,.],[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]]]=>[[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]]=>[.,[[.,.],[[[[.,.],[.,.]],[.,.]],[[.,.],[.,.]]]]] [.,[[.,.],[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]]]=>[[.,[.,.]],[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]]=>[.,[[.,.],[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]]] [.,[[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],[.,.]]]=>[[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]],[.,.]]=>[.,[[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],[.,.]]] [.,[[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]],[.,.]]]=>[[.,[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]]],[.,.]]=>[.,[[[.,.],[[.,.],[[[.,.],[.,.]],[.,.]]]],[.,.]]] [.,[[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]],[.,.]]]=>[[.,[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]]],[.,.]]=>[.,[[[.,.],[[[.,.],[[.,.],[.,.]]],[.,.]]],[.,.]]] [.,[[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]],[.,.]]]=>[[.,[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]]],[.,.]]=>[.,[[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]],[.,.]]] [.,[[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]]]=>[[.,[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]]],[.,.]]=>[.,[[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]]] [.,[[[.,.],[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]]]=>[[.,[[.,.],[[.,.],[[.,.],[.,.]]]]],[[.,.],[.,.]]]=>[.,[[[.,.],[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]]] [.,[[[.,.],[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]]]=>[[.,[[.,.],[[[.,.],[.,.]],[.,.]]]],[[.,.],[.,.]]]=>[.,[[[.,.],[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]]] [.,[[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]],[.,.]]]=>[[.,[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]],[.,.]]=>[.,[[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]],[.,.]]] [.,[[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]]]=>[[.,[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]]],[.,.]]=>[.,[[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]]] [.,[[[.,.],[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]]]=>[[.,[[.,.],[[.,.],[.,.]]]],[[.,.],[[.,.],[.,.]]]]=>[.,[[[.,.],[[.,.],[.,.]]],[[.,.],[[.,.],[.,.]]]]] [.,[[[.,.],[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]]]=>[[.,[[.,.],[[.,.],[.,.]]]],[[[.,.],[.,.]],[.,.]]]=>[.,[[[.,.],[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]]] [.,[[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]]]=>[[.,[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]],[.,.]]=>[.,[[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]]] [.,[[[[.,.],[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]]]=>[[.,[[[.,.],[[.,.],[.,.]]],[.,.]]],[[.,.],[.,.]]]=>[.,[[[[.,.],[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]]] [.,[[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]]]=>[[.,[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]]],[.,.]]=>[.,[[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]]] [.,[[[.,.],[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]]]=>[[.,[[.,.],[.,.]]],[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[.,[[[.,.],[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]]] [.,[[[.,.],[.,.]],[[.,.],[[[.,.],[.,.]],[.,.]]]]]=>[[.,[[.,.],[.,.]]],[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[.,[[[.,.],[.,.]],[[.,.],[[[.,.],[.,.]],[.,.]]]]] [.,[[[.,.],[.,.]],[[[.,.],[[.,.],[.,.]]],[.,.]]]]=>[[.,[[.,.],[.,.]]],[[[.,.],[[.,.],[.,.]]],[.,.]]]=>[.,[[[.,.],[.,.]],[[[.,.],[[.,.],[.,.]]],[.,.]]]] [.,[[[.,.],[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]]]=>[[.,[[.,.],[.,.]]],[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[.,[[[.,.],[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]]] 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[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],[[.,.],[.,.]]]=>[[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]],[.,.]]=>[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],[[.,.],[.,.]]] [[.,[[.,.],[[.,.],[.,.]]]],[[.,.],[[.,.],[.,.]]]]=>[[[.,[[.,.],[[.,.],[.,.]]]],[.,.]],[[.,.],[.,.]]]=>[[.,[[.,.],[[.,.],[.,.]]]],[[.,.],[[.,.],[.,.]]]] [[.,[[[.,.],[.,.]],[.,.]]],[[.,.],[[.,.],[.,.]]]]=>[[[.,[[[.,.],[.,.]],[.,.]]],[.,.]],[[.,.],[.,.]]]=>[[.,[[[.,.],[.,.]],[.,.]]],[[.,.],[[.,.],[.,.]]]] [[.,[[.,.],[[.,.],[.,.]]]],[[[.,.],[.,.]],[.,.]]]=>[[[.,[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]],[.,.]]=>[[.,[[.,.],[[.,.],[.,.]]]],[[[.,.],[.,.]],[.,.]]] [[.,[[[.,.],[.,.]],[.,.]]],[[[.,.],[.,.]],[.,.]]]=>[[[.,[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]],[.,.]]=>[[.,[[[.,.],[.,.]],[.,.]]],[[[.,.],[.,.]],[.,.]]] [[[.,[[.,.],[[.,.],[.,.]]]],[.,.]],[[.,.],[.,.]]]=>[[[[.,[[.,.],[[.,.],[.,.]]]],[.,.]],[.,.]],[.,.]]=>[[[.,[[.,.],[[.,.],[.,.]]]],[.,.]],[[.,.],[.,.]]] 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[[.,[.,.]],[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]]]=>[[[.,[.,.]],[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[[.,[.,.]],[[.,.],[[[.,.],[.,.]],[[.,.],[.,.]]]]] [[.,[.,.]],[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]]]=>[[[.,[.,.]],[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[[.,[.,.]],[[.,.],[[[[.,.],[.,.]],[.,.]],[.,.]]]] [[.,[.,.]],[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]]=>[[[.,[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]],[.,.]]=>[[.,[.,.]],[[[.,.],[[.,.],[[.,.],[.,.]]]],[.,.]]] [[.,[.,.]],[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]]]=>[[[.,[.,.]],[[.,.],[[[.,.],[.,.]],[.,.]]]],[.,.]]=>[[.,[.,.]],[[[.,.],[[[.,.],[.,.]],[.,.]]],[.,.]]] [[.,[.,.]],[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]]=>[[[.,[.,.]],[[.,.],[[.,.],[.,.]]]],[[.,.],[.,.]]]=>[[.,[.,.]],[[[.,.],[[.,.],[.,.]]],[[.,.],[.,.]]]] [[.,[.,.]],[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]]]=>[[[.,[.,.]],[[[.,.],[[.,.],[.,.]]],[.,.]]],[.,.]]=>[[.,[.,.]],[[[[.,.],[[.,.],[.,.]]],[.,.]],[.,.]]] 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[[[.,[.,.]],[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[[[[.,[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]]=>[[[.,[.,.]],[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]] [[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]]=>[[[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]]=>[[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]] [[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[[.,.],[.,.]]]]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[[.,.],[.,.]]]] [[[[.,[.,.]],[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]]=>[[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]]=>[[[[.,[.,.]],[.,.]],[.,.]],[[[.,.],[.,.]],[.,.]]] [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]] [.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]=>[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]]=>[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] [[[[[[.,[.,.]],.],.],.],.],[[.,.],.]]=>[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.]=>[[[[[[.,[.,.]],.],.],.],.],[[.,.],.]] 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[[.,[.,.]],[.,[[[[[.,.],.],.],.],.]]]=>[[[.,[.,.]],.],[[[[[.,.],.],.],.],.]]=>[[.,[.,.]],[.,[[[[[.,.],.],.],.],.]]] [[.,[[.,.],[[[[[.,.],.],.],.],.]]],.]=>[.,[.,[[.,.],[[[[[.,.],.],.],.],.]]]]=>[[.,[[.,.],[[[[[.,.],.],.],.],.]]],.] [[[.,[.,[.,[.,[[[.,.],.],.]]]]],.],.]=>[.,[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]]=>[[[.,[.,[.,[.,[[[.,.],.],.]]]]],.],.] [[[[[[[[[.,.],.],.],.],.],.],.],.],[[.,.],.]]=>[[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]],.]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[[.,.],.]] [[[[[[[.,[.,.]],.],.],.],.],.],[[.,.],.]]=>[[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]],.]=>[[[[[[[.,[.,.]],.],.],.],.],.],[[.,.],.]] [[[[[[.,.],[.,.]],.],.],.],[[.,.],.]]=>[[[[[[[.,.],[.,.]],.],.],.],[.,.]],.]=>[[[[[[.,.],[.,.]],.],.],.],[[.,.],.]] [[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],.]=>[.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]]=>[[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],.] [[[.,.],[.,.]],[[[.,.],[[.,.],.]],.]]=>[[[[.,.],[.,.]],[[.,.],[[.,.],.]]],.]=>[[[.,.],[.,.]],[[[.,.],[[.,.],.]],.]] [.,[[[[[[.,.],.],.],.],.],[.,[.,.]]]]=>[[.,[[[[[.,.],.],.],.],.]],[.,[.,.]]]=>[.,[[[[[[.,.],.],.],.],.],[.,[.,.]]]] [[.,[.,[[[[[[.,.],.],.],.],.],.]]],.]=>[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]=>[[.,[.,[[[[[[.,.],.],.],.],.],.]]],.] [[[[[[[[.,.],[.,.]],.],.],.],.],.],[.,.]]=>[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.]=>[[[[[[[[.,.],[.,.]],.],.],.],.],.],[.,.]] [[[.,[[[[[.,.],.],.],.],.]],.],[.,.]]=>[[[[.,[[[[[.,.],.],.],.],.]],.],.],.]=>[[[.,[[[[[.,.],.],.],.],.]],.],[.,.]] [[[.,.],[[.,[.,[.,.]]],.]],[[.,.],.]]=>[[[[.,.],[[.,[.,[.,.]]],.]],[.,.]],.]=>[[[.,.],[[.,[.,[.,.]]],.]],[[.,.],.]] [[[.,.],[[.,[.,[.,[.,.]]]],.]],[.,.]]=>[[[[.,.],[[.,[.,[.,[.,.]]]],.]],.],.]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],[.,.]] [[[.,.],.],[[.,[.,[.,[.,[.,.]]]]],.]]=>[[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],.]=>[[[.,.],.],[[.,[.,[.,[.,[.,.]]]]],.]] [[.,.],[.,[[[[[.,[.,.]],.],.],.],.]]]=>[[[.,.],.],[[[[[.,[.,.]],.],.],.],.]]=>[[.,.],[.,[[[[[.,[.,.]],.],.],.],.]]] [.,[[[.,.],[[.,[[.,[[.,.],.]],.]],.]],.]]=>[[.,[[.,.],[[.,[[.,[[.,.],.]],.]],.]]],.]=>[.,[[[.,.],[[.,[[.,[[.,.],.]],.]],.]],.]] [.,[[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]]=>[[.,[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]]],.]=>[.,[[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]] [[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.]=>[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]]=>[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.] [[.,[.,[.,[.,[.,.]]]]],[.,[[.,.],.]]]=>[[[.,[.,[.,[.,[.,.]]]]],.],[[.,.],.]]=>[[.,[.,[.,[.,[.,.]]]]],[.,[[.,.],.]]] [[.,[[.,[.,[.,[.,[.,.]]]]],.]],[.,.]]=>[[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.],.]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],[.,.]] [[[[.,.],.],[.,.]],[[[.,.],[.,.]],.]]=>[[[[[.,.],.],[.,.]],[[.,.],[.,.]]],.]=>[[[[.,.],.],[.,.]],[[[.,.],[.,.]],.]] [[[[.,.],.],[.,.]],[.,[[.,.],[.,.]]]]=>[[[[[.,.],.],[.,.]],.],[[.,.],[.,.]]]=>[[[[.,.],.],[.,.]],[.,[[.,.],[.,.]]]] [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]] [.,[[.,.],[.,[[[[[.,.],.],.],.],.]]]]=>[[.,[.,.]],[.,[[[[[.,.],.],.],.],.]]]=>[.,[[.,.],[.,[[[[[.,.],.],.],.],.]]]] [[.,[[[[[.,.],.],.],.],.]],[.,[.,.]]]=>[[[.,[[[[[.,.],.],.],.],.]],.],[.,.]]=>[[.,[[[[[.,.],.],.],.],.]],[.,[.,.]]] [.,[.,[[[[[[.,.],.],.],.],.],[.,.]]]]=>[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]]=>[.,[.,[[[[[[.,.],.],.],.],.],[.,.]]]] [.,[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]]=>[[.,.],[.,[.,[.,[[[.,[.,.]],.],.]]]]]=>[.,[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]] [[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]],.]=>[.,[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]]]=>[[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]],.] [[[[.,[[.,[.,.]],.]],.],[[.,[.,.]],.]],.]=>[.,[[[.,[[.,[.,.]],.]],.],[[.,[.,.]],.]]]=>[[[[.,[[.,[.,.]],.]],.],[[.,[.,.]],.]],.] [[[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],.]=>[.,[[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]]]=>[[[[.,.],[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],.]
Map
left rotate
Description
Return the result of left rotation applied to a binary tree.
Left rotation on binary trees is defined as follows: Let $T$ be a binary tree such that the right child of the root of $T$ is a node. Let $A$ be the left child of the root of $T$, and let $B$ and $C$ be the left and right children of the right child of the root of $T$. (Keep in mind that nodes of trees are identified with the subtrees consisting of their descendants.) Then, the left rotation of $T$ is the binary tree in which the right child of the root is $C$, whereas the left child of the root is a node whose left and right children are $A$ and $B$.
Map
right rotate
Description
Return the result of right rotation applied to a binary tree.
Right rotation on binary trees is defined as follows: Let $T$ be a binary tree such that the left child of the root of $T$ is a node. Let $C$ be the right child of the root of $T$, and let $A$ and $B$ be the left and right children of the left child of the root of $T$. (Keep in mind that nodes of trees are identified with the subtrees consisting of their descendants.) Then, the right rotation of $T$ is the binary tree in which the left child of the root is $A$, whereas the right child of the root is a node whose left and right children are $B$ and $C$.