Given a binary tree. First print all leaf nodes, after that remove all the leaf nodes from the tree and now print all the new formed leaf nodes and keep doing this until all the nodes are removed from the tree.
Input : 8 / \ 3 10 / \ / \ 1 6 14 4 / \ 7 13 Output : 4 6 7 13 14 1 10 3 8
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Approach : The idea is to perform simple dfs and assign different values to each node on the basis of following conditions:
- Initially assign all the nodes with value as 0.
- Now, Assign all the nodes with the value as (maximum value of both child)+1.
Tree before DFS: A temporary value zero is assigned to all of the nodes.
Tree after DFS: Nodes are assigned with the value as (maximum value of both child)+1.
Now, you can see in the above tree that after all the values are assigned to each node, the task now reduces to print the tree on the basis of increasing order of node values assigned to them.
Below is the implementation of above approach:
4 6 7 13 14 1 10 3 8
Time Complexity : O(nlogn)
Auxiliary Space : O(n), where n is the number of nodes in the given Binary Tree.
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