|
| 1 | +#include <iostream> |
| 2 | +#include <queue> |
| 3 | +using namespace std; |
| 4 | + |
| 5 | +class Node{ |
| 6 | + public: |
| 7 | + int data; |
| 8 | + Node* right; |
| 9 | + Node* left; |
| 10 | + |
| 11 | + Node(int data){ |
| 12 | + this -> data = data; |
| 13 | + this -> left = NULL; |
| 14 | + this -> right = NULL; |
| 15 | + } |
| 16 | +}; |
| 17 | + |
| 18 | +Node* insertIntoBST(Node* root, int data){ |
| 19 | + // base case |
| 20 | + if(root == NULL){ |
| 21 | + root = new Node(data); |
| 22 | + return root; |
| 23 | + } |
| 24 | + |
| 25 | + if(data > root -> data){ |
| 26 | + // right part insertion |
| 27 | + root -> right = insertIntoBST(root -> right, data); |
| 28 | + }else{ |
| 29 | + // left part insertion |
| 30 | + root -> left = insertIntoBST(root -> left, data); |
| 31 | + } |
| 32 | + |
| 33 | + return root; |
| 34 | +} |
| 35 | + |
| 36 | +void takeInput(Node* &root){ |
| 37 | + int data; |
| 38 | + cin >> data; |
| 39 | + |
| 40 | + while (data != -1){ |
| 41 | + root = insertIntoBST(root, data); |
| 42 | + cin >> data; |
| 43 | + } |
| 44 | +} |
| 45 | + |
| 46 | +void levelOrderTraversal(Node* root){ |
| 47 | + queue<Node*> q; |
| 48 | + q.push(root); |
| 49 | + q.push(NULL); |
| 50 | + |
| 51 | + while(!q.empty()){ |
| 52 | + Node* temp = q.front(); |
| 53 | + q.pop(); |
| 54 | + |
| 55 | + if(temp == NULL){ |
| 56 | + cout << endl; |
| 57 | + if(!q.empty()){ |
| 58 | + q.push(NULL); |
| 59 | + } |
| 60 | + }else{ |
| 61 | + cout << temp -> data << " "; |
| 62 | + if(temp -> left){ |
| 63 | + q.push(temp -> left); |
| 64 | + } |
| 65 | + if(temp -> right){ |
| 66 | + q.push(temp -> right); |
| 67 | + } |
| 68 | + } |
| 69 | + } |
| 70 | +} |
| 71 | + |
| 72 | +void inOrderTraversal(Node* root){ |
| 73 | + if(root == NULL) return; |
| 74 | + |
| 75 | + inOrderTraversal(root -> left); |
| 76 | + cout << root -> data << " "; |
| 77 | + inOrderTraversal(root -> right); |
| 78 | +} |
| 79 | + |
| 80 | +void preOrderTraversal(Node* root){ |
| 81 | + if(root == NULL) return; |
| 82 | + |
| 83 | + cout << root -> data << " "; |
| 84 | + preOrderTraversal(root -> left); |
| 85 | + preOrderTraversal(root -> right); |
| 86 | +} |
| 87 | + |
| 88 | +void postOrderTraversal(Node* root){ |
| 89 | + if(root == NULL) return; |
| 90 | + |
| 91 | + postOrderTraversal(root -> left); |
| 92 | + postOrderTraversal(root -> right); |
| 93 | + cout << root -> data << " "; |
| 94 | +} |
| 95 | + |
| 96 | +void SearchBST(Node* root, int value){ |
| 97 | + if(root == NULL) { |
| 98 | + cout << "Value not Present" << endl; |
| 99 | + return; |
| 100 | + } |
| 101 | + |
| 102 | + if(root -> data == value) { |
| 103 | + cout << "Value is Present" << endl; |
| 104 | + return; |
| 105 | + } |
| 106 | + |
| 107 | + if(root -> data < value) return SearchBST(root -> right, value); |
| 108 | + else return SearchBST(root -> left, value); |
| 109 | +} |
| 110 | + |
| 111 | +Node* minValue(Node* root){ |
| 112 | + if(root == NULL) { |
| 113 | + cout << "Tree is Empty" << endl; |
| 114 | + return NULL; |
| 115 | + } |
| 116 | + while(root -> left != NULL){ |
| 117 | + root = root -> left; |
| 118 | + } |
| 119 | + |
| 120 | + cout << "Minimum Value is : " << root -> data << endl; |
| 121 | + return root; |
| 122 | +} |
| 123 | + |
| 124 | +Node* maxValue(Node* root){ |
| 125 | + if(root == NULL){ |
| 126 | + cout << "Tree is Empty" << endl; |
| 127 | + return NULL; |
| 128 | + } |
| 129 | + |
| 130 | + while(root -> right != NULL){ |
| 131 | + root = root -> right; |
| 132 | + } |
| 133 | + |
| 134 | + cout << "Maximum value is : "<< root -> data << endl; |
| 135 | + return root; |
| 136 | +} |
| 137 | + |
| 138 | +Node* inOrderPredecessor(Node* root, Node* target){ |
| 139 | + Node* predecessor = NULL; |
| 140 | + |
| 141 | + while(root != NULL){ |
| 142 | + if(target -> data > root -> data){ |
| 143 | + predecessor = root; |
| 144 | + root = root -> right; |
| 145 | + }else{ |
| 146 | + root = root -> left; |
| 147 | + } |
| 148 | + } |
| 149 | + |
| 150 | + return predecessor; |
| 151 | +} |
| 152 | + |
| 153 | +Node* inOrderSuccessor(Node* root, Node* target){ |
| 154 | + if(target->right != NULL) { |
| 155 | + Node* current = target->right; |
| 156 | + while(current->left != NULL) { |
| 157 | + current = current->left; |
| 158 | + } |
| 159 | + return current; |
| 160 | + } else { |
| 161 | + Node* successor = NULL; |
| 162 | + Node* ancestor = root; |
| 163 | + |
| 164 | + while(ancestor != target) { |
| 165 | + if(target->data < ancestor->data) { |
| 166 | + successor = ancestor; |
| 167 | + ancestor = ancestor->left; |
| 168 | + } else { |
| 169 | + ancestor = ancestor->right; |
| 170 | + } |
| 171 | + } |
| 172 | + return successor; |
| 173 | + } |
| 174 | +} |
| 175 | + |
| 176 | +Node* deleteFromBST(Node* root, int value) { |
| 177 | + // Base case: If the root is NULL, return NULL |
| 178 | + if (root == NULL) return root; |
| 179 | + |
| 180 | + // If the node to be deleted is found |
| 181 | + if (root->data == value) { |
| 182 | + // Case 1: Node with 0 children (leaf node) |
| 183 | + if (root->left == NULL && root->right == NULL) { |
| 184 | + delete root; |
| 185 | + return NULL; |
| 186 | + } |
| 187 | + |
| 188 | + // Case 2: Node with 1 child |
| 189 | + if (root->left != NULL && root->right == NULL) { |
| 190 | + Node* temp = root->left; |
| 191 | + delete root; |
| 192 | + return temp; |
| 193 | + } |
| 194 | + if (root->left == NULL && root->right != NULL) { |
| 195 | + Node* temp = root->right; |
| 196 | + delete root; |
| 197 | + return temp; |
| 198 | + } |
| 199 | + |
| 200 | + // Case 3: Node with 2 children |
| 201 | + if (root->left != NULL && root->right != NULL) { |
| 202 | + // Find the minimum value in the right subtree |
| 203 | + int mini = minValue(root->right)->data; |
| 204 | + // Replace root's data with the minimum value |
| 205 | + root->data = mini; |
| 206 | + // Recursively delete the minimum node in the right subtree |
| 207 | + root->right = deleteFromBST(root->right, mini); |
| 208 | + } |
| 209 | + } |
| 210 | + // If the value is less than root's data, go to the left subtree |
| 211 | + else if (root->data > value) { |
| 212 | + root->left = deleteFromBST(root->left, value); |
| 213 | + } |
| 214 | + // If the value is greater than root's data, go to the right subtree |
| 215 | + else { |
| 216 | + root->right = deleteFromBST(root->right, value); |
| 217 | + } |
| 218 | + |
| 219 | + return root; |
| 220 | +} |
| 221 | + |
| 222 | + |
| 223 | +int main() { |
| 224 | + Node* root = NULL; |
| 225 | + |
| 226 | + cout << endl << "Enter data to create BST" <<endl; |
| 227 | + takeInput(root); |
| 228 | + |
| 229 | + cout << endl << "Printing the BST" << endl; |
| 230 | + levelOrderTraversal(root); |
| 231 | + |
| 232 | + cout << endl << "Printing In-Order Traversal" << endl; |
| 233 | + inOrderTraversal(root); |
| 234 | + |
| 235 | + cout << endl << "Printing Pre-Order Traversal" << endl; |
| 236 | + preOrderTraversal(root); |
| 237 | + |
| 238 | + cout << endl << "Printing Post-Order Traversal" << endl; |
| 239 | + postOrderTraversal(root); |
| 240 | + |
| 241 | + cout << endl << "Searching in BST" << endl; |
| 242 | + SearchBST(root, 2); |
| 243 | + SearchBST(root, 50); |
| 244 | + |
| 245 | + cout << endl << "Searching minimum value" << endl; |
| 246 | + minValue(root); |
| 247 | + |
| 248 | + cout << endl << "Searching maximum value" << endl; |
| 249 | + maxValue(root); |
| 250 | + |
| 251 | + cout << endl << "Searching the Predecessor" << endl; |
| 252 | + int targetValue = 5; |
| 253 | + Node* targetNode = root; |
| 254 | + |
| 255 | + // Find the target node in the BST |
| 256 | + while (targetNode != NULL && targetNode->data != targetValue) { |
| 257 | + if (targetValue < targetNode->data) { |
| 258 | + targetNode = targetNode->left; |
| 259 | + } else { |
| 260 | + targetNode = targetNode->right; |
| 261 | + } |
| 262 | + } |
| 263 | + |
| 264 | + if (targetNode != NULL) { |
| 265 | + Node* predecessor = inOrderPredecessor(root, targetNode); |
| 266 | + if (predecessor != NULL) { |
| 267 | + cout << "Predecessor of " << targetValue << " is : " << predecessor->data << endl; |
| 268 | + } else { |
| 269 | + cout << "No predecessor found for " << targetValue << endl; |
| 270 | + } |
| 271 | + } else { |
| 272 | + cout << "Target node not found in the tree." << endl; |
| 273 | + } |
| 274 | + |
| 275 | + cout << endl << "Searching the Successor" << endl; |
| 276 | + int value = 5; |
| 277 | + Node* target = root; |
| 278 | + |
| 279 | + // Find the target node in the BST |
| 280 | + while(target != NULL && target->data != value) { |
| 281 | + if(value < target->data) { |
| 282 | + target = target->left; |
| 283 | + } else { |
| 284 | + target = target->right; |
| 285 | + } |
| 286 | + } |
| 287 | + |
| 288 | + if(target != NULL) { |
| 289 | + Node* successor = inOrderSuccessor(root, target); |
| 290 | + if(successor != NULL) { |
| 291 | + cout << "Successor of " << value << " is : " << successor->data << endl; |
| 292 | + } else { |
| 293 | + cout << "No Successor found for " << value << endl; |
| 294 | + } |
| 295 | + } else { |
| 296 | + cout << "Target node not found in the tree." << endl; |
| 297 | + } |
| 298 | + |
| 299 | + root = deleteFromBST(root, 90); |
| 300 | + |
| 301 | + cout << endl << "Printing the BST" << endl; |
| 302 | + levelOrderTraversal(root); |
| 303 | + |
| 304 | + return 0; |
| 305 | +} |
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