Input : Inorder -> 4 2 5 1 3 Preorder -> 1 2 4 5 3 Postorder -> 4 5 2 3 1 Output : Yes Exaplanation : All of the above three traversals are of the same tree 1 / \ 2 3 / \ 4 5 Input : Inorder -> 4 2 5 1 3 Preorder -> 1 5 4 2 3 Postorder -> 4 1 2 3 5 Output : No
The most basic approach to solve this problem will be to first construct a tree using two of the three given traversals and then do the third traversal on this constructed tree and compare it with the given traversal. If both of the traversals are same then print Yes otherwise print No. Here, we use Inorder and Preorder traversals to construct the tree. We may also use Inorder and Postorder traversal instead of Preorder traversal for tree construction. You may refer to this post on how to construct tree from given Inorder and Preorder traversal. After constructing the tree, we will obtain the Postorder traversal of this tree and compare it with the given Postorder traversal.
Below is the implementation of above approach:
Time Complexity : O( n * n ), where n is number of nodes in the tree.
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- Check if given Preorder, Inorder and Postorder traversals are of same tree | Set 2
- Tree Traversals (Inorder, Preorder and Postorder)
- Preorder from Inorder and Postorder traversals
- Print Postorder traversal from given Inorder and Preorder traversals
- Construct Tree from given Inorder and Preorder traversals
- Construct Full Binary Tree from given preorder and postorder traversals
- Construct a Binary Tree from Postorder and Inorder
- Construct a tree from Inorder and Level order traversals | Set 2
- Construct a tree from Inorder and Level order traversals | Set 1
- Check if an array represents Inorder of Binary Search tree or not
- Check if a given array can represent Preorder Traversal of Binary Search Tree
- Construct Full Binary Tree using its Preorder traversal and Preorder traversal of its mirror tree
- Data Structures | Tree Traversals | Question 8
- Data Structures | Tree Traversals | Question 6
- Data Structures | Tree Traversals | Question 7