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| 1 | +#include <bits/stdc++.h> |
| 2 | +using namespace std; |
| 3 | + |
| 4 | +/* |
| 5 | +Algorithm: Binary Tree Traversals (Inorder, Preorder, Postorder) |
| 6 | +
|
| 7 | +Description: |
| 8 | +- Builds a Binary Search Tree (BST) using insertion. |
| 9 | +- Performs recursive traversals: |
| 10 | + Inorder (Left → Root → Right) |
| 11 | + Preorder (Root → Left → Right) |
| 12 | + Postorder (Left → Right → Root) |
| 13 | +- Useful for processing hierarchical data, syntax trees, and expression evaluation. |
| 14 | +
|
| 15 | +Time Complexity: O(n) |
| 16 | +Space Complexity: O(h), where h is tree height (O(log n) average, O(n) worst case) |
| 17 | +*/ |
| 18 | + |
| 19 | +class TreeNode { |
| 20 | +public: |
| 21 | + int data; |
| 22 | + TreeNode* left; |
| 23 | + TreeNode* right; |
| 24 | + |
| 25 | + TreeNode(int val) { |
| 26 | + data = val; |
| 27 | + left = NULL; |
| 28 | + right = NULL; |
| 29 | + } |
| 30 | +}; |
| 31 | + |
| 32 | +// Function to insert a node into the BST |
| 33 | +TreeNode* insert(TreeNode* root, int val) { |
| 34 | + |
| 35 | + if (!root) return new TreeNode(val); |
| 36 | + if (val < root->data) root->left = insert(root->left, val); |
| 37 | + else root->right = insert(root->right, val); |
| 38 | + return root; |
| 39 | +} |
| 40 | + |
| 41 | +// Inorder traversal (Left, Root, Right) |
| 42 | +void inorder(TreeNode* root) { |
| 43 | + if (!root) return; |
| 44 | + inorder(root->left); |
| 45 | + cout << root->data << " "; |
| 46 | + inorder(root->right); |
| 47 | +} |
| 48 | + |
| 49 | +//Preorder traversal (Root, Left, Right) |
| 50 | +void preorder(TreeNode* root){ |
| 51 | + if(!root) return; |
| 52 | + cout<<root->data<<" "; |
| 53 | + preorder(root->left); |
| 54 | + preorder(root->right); |
| 55 | +} |
| 56 | + |
| 57 | +//Postorder traversal (Left, Right, Root) |
| 58 | +void postorder(TreeNode* root){ |
| 59 | + if(!root) return; |
| 60 | + postorder(root->left); |
| 61 | + postorder(root->right); |
| 62 | + cout<<root->data<<" "; |
| 63 | +} |
| 64 | + |
| 65 | + |
| 66 | +int main() { |
| 67 | + TreeNode* root = NULL; |
| 68 | + int n, val; |
| 69 | + |
| 70 | + cout << "Enter number of nodes: "; |
| 71 | + cin >> n; |
| 72 | + |
| 73 | + cout << "Enter values to insert into BST:"; |
| 74 | + for (int i = 0; i < n; i++) { |
| 75 | + cin >> val; |
| 76 | + root = insert(root, val); |
| 77 | + } |
| 78 | + |
| 79 | + cout << "\nInorder Traversal: "; |
| 80 | + inorder(root); |
| 81 | + cout << "\nPreorder Traversal: "; |
| 82 | + preorder(root); |
| 83 | + cout<<"\nPostorder Traversal: "; |
| 84 | + postorder(root); |
| 85 | + cout<<endl; |
| 86 | + |
| 87 | + return 0; |
| 88 | +} |
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