Aakash Shah Aakash Shah - 1 year ago 91
Python Question

I want to add values while a recursive loop unfolds

This is a bottom up approach to check if the tree is an AVL tree or not. So how this code works is:

Suppose this is a tree :

3 10

The leaf node is checked that it is a leaf node(here 1). It then unfolds one recursion when the node with data 2 is the current value. The value of cl = 1, while it compares the right tree. The right branch of 2 is empty i.e does not have any children so the avl_compare will have (1, 0) which is allowed.

After this i want to add one value to cl so that when the node with data 3 is the current value, the value of cl = 2. avl_check is an assignment question. I have done this on my own but i need some help here to play with recursive functions.

def avl_check(self):

cl = cr = 0

cr += 1

if(not self.avl_compare(cl,cr)):

Answer Source

Your immediate problem is that you don't seem to understand local and global variables. cl and cr are local variables; with the given control flow, the only values they can ever have are 0 and 1. Remember that each instance of the routine gets a new set of local variables: you set them to 0, perhaps increment to 1, and then you return. This does not affect the values of the variables in other instances of the function.

A deeper problem is that you haven't thought this through for larger trees. Assume that you do learn to use global variables and correct these increments. Take your current tree, insert nodes 4, 9, 10, and 11 (nicely balanced). Walk through your algorithm, tracing the values of cl and cr. By the time you get to node 10, cl is disturbingly more than the tree depth -- I think this is a fatal error in your logic.

Think through this again: a recursive routine should not have global variables, except perhaps for the data store of a dynamic programming implementation (which does not apply here). The function should check for the base case and return something trivial (such as 0 or 1). Otherwise, the function should reduce the problem one simple step and recur; when the recursion returns, the function does something simple with the result and returns the new result to its parent.

Your task is relatively simple:

Find the depths of the two subtrees.
If their difference > 1, return False
else return True

You should already know how to check the depth of a tree. Implement this first. After that, make your implementation more intelligent: checking the depth of a subtree should also check its balance at each step. That will be your final solution.

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