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// Define a structure for a binary tree node | ||
struct BinaryTreeNode { | ||
int key; | ||
struct BinaryTreeNode *left, *right; | ||
}; | ||
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// Function to create a new node with a given value | ||
struct BinaryTreeNode* newNodeCreate(int value) | ||
{ | ||
struct BinaryTreeNode* temp | ||
= (struct BinaryTreeNode*)malloc( | ||
sizeof(struct BinaryTreeNode)); | ||
temp->key = value; | ||
temp->left = temp->right = NULL; | ||
return temp; | ||
} | ||
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// Function to search for a node with a specific key in the | ||
// tree | ||
struct BinaryTreeNode* | ||
searchNode(struct BinaryTreeNode* root, int target) | ||
{ | ||
if (root == NULL || root->key == target) { | ||
return root; | ||
} | ||
if (root->key < target) { | ||
return searchNode(root->right, target); | ||
} | ||
return searchNode(root->left, target); | ||
} | ||
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// Function to insert a node with a specific value in the | ||
// tree | ||
struct BinaryTreeNode* | ||
insertNode(struct BinaryTreeNode* node, int value) | ||
{ | ||
if (node == NULL) { | ||
return newNodeCreate(value); | ||
} | ||
if (value < node->key) { | ||
node->left = insertNode(node->left, value); | ||
} | ||
else if (value > node->key) { | ||
node->right = insertNode(node->right, value); | ||
} | ||
return node; | ||
} | ||
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// Function to perform post-order traversal | ||
void postOrder(struct BinaryTreeNode* root) | ||
{ | ||
if (root != NULL) { | ||
postOrder(root->left); | ||
postOrder(root->right); | ||
printf(" %d ", root->key); | ||
} | ||
} | ||
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// Function to perform in-order traversal | ||
void inOrder(struct BinaryTreeNode* root) | ||
{ | ||
if (root != NULL) { | ||
inOrder(root->left); | ||
printf(" %d ", root->key); | ||
inOrder(root->right); | ||
} | ||
} | ||
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// Function to perform pre-order traversal | ||
void preOrder(struct BinaryTreeNode* root) | ||
{ | ||
if (root != NULL) { | ||
printf(" %d ", root->key); | ||
preOrder(root->left); | ||
preOrder(root->right); | ||
} | ||
} | ||
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// Function to find the minimum value | ||
struct BinaryTreeNode* findMin(struct BinaryTreeNode* root) | ||
{ | ||
if (root == NULL) { | ||
return NULL; | ||
} | ||
else if (root->left != NULL) { | ||
return findMin(root->left); | ||
} | ||
return root; | ||
} | ||
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// Function to delete a node from the tree | ||
struct BinaryTreeNode* delete (struct BinaryTreeNode* root, | ||
int x) | ||
{ | ||
if (root == NULL) | ||
return NULL; | ||
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if (x > root->key) { | ||
root->right = delete (root->right, x); | ||
} | ||
else if (x < root->key) { | ||
root->left = delete (root->left, x); | ||
} | ||
else { | ||
if (root->left == NULL && root->right == NULL) { | ||
free(root); | ||
return NULL; | ||
} | ||
else if (root->left == NULL | ||
|| root->right == NULL) { | ||
struct BinaryTreeNode* temp; | ||
if (root->left == NULL) { | ||
temp = root->right; | ||
} | ||
else { | ||
temp = root->left; | ||
} | ||
free(root); | ||
return temp; | ||
} | ||
else { | ||
struct BinaryTreeNode* temp | ||
= findMin(root->right); | ||
root->key = temp->key; | ||
root->right = delete (root->right, temp->key); | ||
} | ||
} | ||
return root; | ||
} | ||
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int main() | ||
{ | ||
// Initialize the root node | ||
struct BinaryTreeNode* root = NULL; | ||
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// Insert nodes into the binary search tree | ||
root = insertNode(root, 50); | ||
insertNode(root, 30); | ||
insertNode(root, 20); | ||
insertNode(root, 40); | ||
insertNode(root, 70); | ||
insertNode(root, 60); | ||
insertNode(root, 80); | ||
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// Search for a node with key 60 | ||
if (searchNode(root, 60) != NULL) { | ||
printf("60 found"); | ||
} | ||
else { | ||
printf("60 not found"); | ||
} | ||
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printf("\n"); | ||
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// Perform post-order traversal | ||
postOrder(root); | ||
printf("\n"); | ||
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// Perform pre-order traversal | ||
preOrder(root); | ||
printf("\n"); | ||
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// Perform in-order traversal | ||
inOrder(root); | ||
printf("\n"); | ||
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// Perform delete the node (70) | ||
struct BinaryTreeNode* temp = delete (root, 70); | ||
printf("After Delete: \n"); | ||
inOrder(root); | ||
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// Free allocated memory (not done in this code, but | ||
// good practice in real applications) | ||
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return 0; | ||
} |