int avl(binarysearchtree root): if(not root) return 0 left_tree_height = avl(left_of_root) if(left_tree_height== -1) return left_tree_height right_tree_height= avl(right_of_root) if(right_tree_height==-1) return right_tree_heightDoes the above code can check if a binary search tree is an AVL tree? *2 pointsyesno
Question
int avl(binarysearchtree root): if(not root) return 0 left_tree_height = avl(left_of_root) if(left_tree_height== -1) return left_tree_height right_tree_height= avl(right_of_root) if(right_tree_height==-1) return right_tree_heightDoes the above code can check if a binary search tree is an AVL tree? *2 pointsyesno
Solution
The given code appears to be written in a programming language. It defines a function named "avl" that takes a parameter called "root", which is expected to be a binary search tree. The function checks if the binary search tree is an AVL tree.
Here is a step-by-step breakdown of the code:
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The function starts with a check for a null root. If the root is null, it means there is no tree, so the function returns 0.
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If the root is not null, the function recursively calls itself on the left subtree of the root and assigns the returned value to the variable "left_tree_height".
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Next, the code checks if the "left_tree_height" is -1. If it is, it means that the left subtree is not balanced, and the function returns -1.
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If the left subtree is balanced, the code proceeds to recursively call itself on the right subtree of the root and assigns the returned value to the variable "right_tree_height".
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Similar to step 3, the code checks if the "right_tree_height" is -1. If it is, it means that the right subtree is not balanced, and the function returns -1.
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If both the left and right subtrees are balanced, the function does not return -1 at this point. This suggests that the binary search tree is an AVL tree, and the function can return a value indicating that it is indeed an AVL tree.
Based on the provided code, it seems that the function is designed to check if a binary search tree is an AVL tree.
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