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fix: right-left and left-right inversion for the English version of AVL Tree (#1448)
* 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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@ -289,17 +289,17 @@ It can be observed that **the right and left rotation operations are logically s
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[file]{avl_tree}-[class]{avl_tree}-[func]{left_rotate}
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[file]{avl_tree}-[class]{avl_tree}-[func]{left_rotate}
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```
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```
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### Right-left rotation
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### Left-right rotation
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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`.
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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`.
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![Right-left rotation](avl_tree.assets/avltree_left_right_rotate.png)
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![Left-right rotation](avl_tree.assets/avltree_left_right_rotate.png)
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### Left-right rotation
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### Right-left rotation
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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`.
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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`.
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![Left-right rotation](avl_tree.assets/avltree_right_left_rotate.png)
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![Right-left rotation](avl_tree.assets/avltree_right_left_rotate.png)
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### Choice of rotation
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### Choice of rotation
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