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If the tree is not a complete binary tree then what changes can be made for easy access to the children of a node in the array?Marks : 2Negative Marks : 0

Question

If the tree is not a complete binary tree then what changes can be made for easy access to the children of a node in the array?

Marks : 2
Negative Marks : 0

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Solution

In a binary tree, each node has at most two children. If the tree is not a complete binary tree, meaning all levels are fully filled except possibly for the last level, which is filled from left to right, then accessing the children of a node in the array can be a bit tricky.

Here are the steps to make it easier:

  1. Linking Parent to Children: One way to make access to the children of a node easier is to maintain a link from the parent node to its children. This can be done by storing the indices of the children nodes in the parent node. This way, you can directly access the children of a node without having to traverse the tree.

  2. Using a Dynamic Data Structure: Another way is to use a dynamic data structure like a linked list or a hash map instead of an array. These data structures allow for more flexibility in terms of storage and access to the children nodes.

  3. Balancing the Tree: If the tree is not balanced, it can be balanced using rotations. A balanced tree ensures that the tree remains a complete binary tree after every insert or delete operation. This makes access to the children nodes easier as you can calculate the position of the children nodes in the array using the formula 2i+1 for the left child and 2i+2 for the right child, where i is the index of the parent node.

  4. Storing Null Values: If the tree is not a complete binary tree, you can still use an array to represent it by storing null values for the missing nodes. This way, the position of the children nodes in the array can still be calculated using the same formula as in a complete binary tree. However, this method may not be space efficient if the tree is sparse.

Remember, the best method to use depends on the specific requirements of your program and the characteristics of the tree.

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