Beginner
1. Binary Search2. Linear Search3. Fibonacci Search4. Bubble Sort5. Insertion Sort6. Selection Sort7. Quick Sort8. Merge Sort9. Addition of two matrixes10. Subtraction of two matrixes11. Multiplication of two matrixes12. Transpose of given Matrix13. EUCLIDIAN GCD ALGORITHM14. Fabinocci Numbers with matrix multiplication15. Fast Exponential16. Modular inversion17. Prime seiving18. Heap(using array)19. Heapify20. Heap Sort21. Linear Probing22. Open Addressing23. Collision Avoidance24. Binary Search Tree Traversal Techniques25. Finding Kth Largest Element in Binary Tree26. Diameter of a Binary search tree27. Depth of Binary Tree28. Number of Nodes in BST29. Convert Array to Binary Tree30. Convert Array to General Tree31. Lowest Common AncestorBinary Search Tree Traversal Techniques
LEVEL:Beginner
Description
Given an array of integers. convert the array to a binary search tree and perform inorder , preorder and post order traversal on it
Input Format
First Line contains no of elements in the array Next line contains n elements representing the array elements
Output Format
Print the inorder, preorder and postorder traversal of the tree.
5 3 2 1 4 5
1 2 3 4 5 3 2 1 4 5 1 2 5 4 3
8 5 7 2 1 8 6 3 5
1 2 3 5 5 6 7 8 5 2 1 3 5 7 6 8 1 5 3 2 6 8 7 5
10 55 21 4 2 5 36 25 78 26 33
2 4 5 21 25 26 33 36 55 78 55 21 4 2 5 36 25 26 33 78 2 5 4 33 26 25 36 21 78 55
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Approach
Step-i) Create a class Node with instances data of int type and left,right of Node type
Step-ii)create a default constructor which initializes left and right to null
Step-iii)create a constructor which accepts key as argument and assigns it to data
(this class is used to create a node of the tree)
Step-iv)create another class binary tree
Step-v)create a public method which return Node and takes root,node of Node type as arguments
Step-vi)if root is null assign node to root and return node
Step-vii)if data of root is less than data of node go to next step else go to ix
Step-viii)if right of root is null assign node to root right else call the insert method passing root.right and node as argument
Step-ix)if left of root is null assign node to root left else call the insert method passing root.left and node as argument
Step-x)return root
(now we are done with the insert method)
Step-xi)create a void method inorder which accepts root of Node type as argument
Step-xii)if root is null just return
Step-xiii)call inorder method passing root.left as argument
Step-xiv)print the data present in root.data
Step-xv)call inorder method passing root.right as argument
(we are done with inorder method)
Step-xvi)create a void method preorder which accepts root of Node type as argument
Step-xvii)if root is null just return
Step-xviii) print the data present in root.data
Step-xix)call the preorder function passing root.left as an argument
Step-xx)call the preorder function passing root.right as an argument
(we are done with pre order method)
Step-xxi)create a void method post order which accepts root of Node type as argument
Step-xxii)if root is null just return
Step-xxiii)call the postorder method passing root.left as an argument
Step-xxiv)call the postorder method passing root.right as an argument
Step-xxv)print the data present in the root.data
(we are done with the post order method)
Step-xxvi)now create the main method
Step-xxvii)take the input n which tells the no of elements in the array
Step-xxviii)read n numbers and store it in the array
Step-xxix)traverse the array and pass it's values to the insert method to construct the binary tree
Step-xxx)call the inorder method passing root as argument
Step-xxxi)call the preorder method passing root as argument
Step-xxxii)call the postorder method passing root as argument
Time Complexity: O(n)
Space Complexity: O(n)
Note :
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