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fix: right-left and left-right inversion for the English version of AVL Tree (#1448)

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* Fix right-left and left-right inversion on AVL Binary Tree

* Update avl_tree.md

* Update avl_tree.md

---------

Co-authored-by: Yudong Jin <krahets@163.com>
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Estevão Goerll 2024-07-26 05:48:35 -03:00 committed by GitHub
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en/docs/chapter_tree/avl_tree.md
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@ -289,17 +289,17 @@ It can be observed that **the right and left rotation operations are logically s
[file]{avl_tree}-[class]{avl_tree}-[func]{left_rotate} [file]{avl_tree}-[class]{avl_tree}-[func]{left_rotate}
``` ```
### Right-left rotation ### Left-right rotation
For the unbalanced node 3 shown in the figure below, using either left or right rotation alone cannot restore balance to the subtree. In this case, a "left rotation" needs to be performed on `child` first, followed by a "right rotation" on `node`. For the unbalanced node 3 shown in the figure below, using either left or right rotation alone cannot restore balance to the subtree. In this case, a "left rotation" needs to be performed on `child` first, followed by a "right rotation" on `node`.
![Right-left rotation](avl_tree.assets/avltree_left_right_rotate.png) ![Left-right rotation](avl_tree.assets/avltree_left_right_rotate.png)
### Left-right rotation ### Right-left rotation
As shown in the figure below, for the mirror case of the above unbalanced binary tree, a "right rotation" needs to be performed on `child` first, followed by a "left rotation" on `node`. As shown in the figure below, for the mirror case of the above unbalanced binary tree, a "right rotation" needs to be performed on `child` first, followed by a "left rotation" on `node`.
![Left-right rotation](avl_tree.assets/avltree_right_left_rotate.png) ![Right-left rotation](avl_tree.assets/avltree_right_left_rotate.png)
### Choice of rotation ### Choice of rotation