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diff --git a/src/03/README.md b/src/03/README.md index 9036d27..d5f2305 100644 --- a/src/03/README.md +++ b/src/03/README.md @@ -49,3 +49,50 @@ Step 6: / \ \ (10:r) (17:r) (35:r) ``` + +Illustrate that via AVL single rotation, any binary search tree T1 can be +transformed into another search tree T2 (with the same items). + +Left rotation: + +```plaintext + (10) (20) + \ / \ + (20) -> (10) (30) + \ + (30) +``` + +Right rotation: + +```plaintext + (30) (20) + / / \ + (20) --> (10) (30) + / +(10) +``` + +Left-Right rotation: + +```plaintext + (30) (20) + / / \ +(10) -> (10) (30) + \ + (20) +``` + +Right-Left rotation: + +```plaintext +(10) (20) + \ / \ + (30) --> (10) (30) + / +(20) +``` + +Give an algorithm to perform this transformation using O(N log N) rotation on average. + +See `./avl_tree.c`. |
