Skip to content

Create AVL Tree #552

New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

Sign up for GitHub

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Closed
wants to merge 1 commit into from
Closed

Create AVL Tree #552

Changes from all commits
Commits
Show all changes
1 commit
Select commit
File filter

Filter by extension

Filter by extension
Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
288 changes: 288 additions & 0 deletions src/algorithms/tree/AVL Tree
View file
Open in desktop
Original file line number Diff line number Diff line change
@@ -0,0 +1,288 @@
#include <stdio.h>
#include <conio.h>
#include <malloc.h>
struct node
{
int data;
struct node *left;
struct node *right;
};
struct node *tree;
void create_tree(struct node *);
struct node *insertElement(struct node *, int);
void preorderTraversal(struct node *);
void inorderTraversal(struct node *);
void postorderTraversal(struct node *);
struct node *findSmallestElement(struct node *);
struct node *findLargestElement(struct node *);
struct node *deleteElement(struct node *, int);
struct node *mirrorImage(struct node *);
int totalNodes(struct node *);
int totalExternalNodes(struct node *);
int totalInternalNodes(struct node *);
int Height(struct node *);
struct node *deleteTree(struct node *);

int main()
{
int option, val;
struct node *ptr;
create_tree(tree);
clrscr();
do
{
printf("\n ******MAIN MENU******* \n");
printf("\n 1. Insert Element");
printf("\n 2. Preorder Traversal");
printf("\n 3. Inorder Traversal");
printf("\n 4. Postorder Traversal");
printf("\n 5. Find the smallest element");
printf("\n 6. Find the largest element");
printf("\n 7. Delete an element");
printf("\n 8. Count the total number of nodes");
printf("\n 9. Count the total number of external nodes");
printf("\n 10. Count the total number of internal nodes");
printf("\n 11. Determine the height of the tree");
printf("\n 12. Find the mirror image of the tree");
printf("\n 13. Delete the tree");
printf("\n 14. Exit");
printf("\n\n Enter your option : ");
scanf("%d", &option);
switch(option)
{
case 1: printf("\n Enter the value of the new node : ");
scanf("%d", &val);
tree = insertElement(tree, val);
break;
case 2: printf("\n The elements of the tree are : \n");
preorderTraversal(tree);
break;
case 3: printf("\n The elements of the tree are : \n");
inorderTraversal(tree);
break;
case 4: printf("\n The elements of the tree are : \n");
postorderTraversal(tree);
break;
case 5: ptr = findSmallestElement(tree);
printf("\n Smallest element is :%d",ptr–>data);
break;
case 6: ptr = findLargestElement(tree);
printf("\n Largest element is : %d", ptr–>data);
break;
case 7: printf("\n Enter the element to be deleted : ");
scanf("%d", &val);
tree = deleteElement(tree, val);
break;
case 8: printf("\n Total no. of nodes = %d", totalNodes(tree));
break;
case 9: printf("\n Total no. of external nodes = %d",
totalExternalNodes(tree));
break;
case 10:printf("\n Total no. of internal nodes = %d",
totalInternalNodes(tree));
break;
case 11:printf("\n The height of the tree = %d",Height(tree));
break;
case 12:tree = mirrorImage(tree);
break;
case 13:tree = deleteTree(tree);
break;
}
}while(option!=14);
getch();
return 0;
}
void create_tree(struct node *tree)
{
tree = NULL;
}
struct node *insertElement(struct node *tree, int val)
{
struct node *ptr, *nodeptr, *parentptr;
ptr = (struct node*)malloc(sizeof(struct node));
ptr–>data = val;
ptr–>left = NULL;
ptr–>right = NULL;
if(tree==NULL)
{
tree=ptr;
tree–>left=NULL;
tree–>right=NULL;
}
else
{
parentptr=NULL;
nodeptr=tree;
while(nodeptr!=NULL)
{
parentptr=nodeptr;
if(val<nodeptr–>data)
nodeptr=nodeptr–>left;
else
nodeptr = nodeptr–>right;
}
if(val<parentptr–>data)
parentptr–>left = ptr;
else
parentptr–>right = ptr;
}
return tree;
}
void preorderTraversal(struct node *tree)
{
if(tree != NULL)
{
printf("%d\t", tree–>data);
preorderTraversal(tree–>left);
preorderTraversal(tree–>right);
}
}
void inorderTraversal(struct node *tree)
{
if(tree != NULL)
{
inorderTraversal(tree->left);
printf("%d\t", tree->data);
inorderTraversal(tree->right);
}
}
void postorderTraversal(struct node *tree)
{
if(tree != NULL)
{
postorderTraversal(tree->left);
postorderTraversal(tree->right);
printf("%d\t", tree->data);
}
}
struct node *findSmallestElement(struct node *tree)
{
if( (tree == NULL) || (tree->left == NULL))
return tree;
else
return findSmallestElement(tree ->left);
}
struct node *findLargestElement(struct node *tree)
{
if( (tree == NULL) || (tree->right == NULL))
return tree;
else
return findLargestElement(tree->right);
}
struct node *deleteElement(struct node *tree, int val)
{
struct node *cur, *parent, *suc, *psuc, *ptr;
if(tree–>left==NULL)
{
printf("\n The tree is empty ");
return(tree);
}
parent = tree;
cur = tree–>left;
while(cur!=NULL && val!= cur–>data)
{
parent = cur;
cur = (val<cur–>data)? cur–>left:cur–>right;
}
if(cur == NULL)
{
printf("\n The value to be deleted is not present in the tree");
return(tree);
}
if(cur–>left == NULL)
ptr = cur–>right;
else if(cur–>right == NULL)
ptr = cur–>left;
else
{
// Find the in–order successor and its parent
psuc = cur;
cur = cur–>left;
while(suc–>left!=NULL)
{
psuc = suc;
suc = suc–>left;
}
if(cur==psuc)
{ // Situation 1
suc–>left = cur–>right;
}
else
{ // Situation 2
suc–>left = cur–>left;
psuc–>left = suc–>right;
suc–>right = cur–>right;
}
ptr = suc;
}
// Attach ptr to the parent node
if(parent–>left == cur)
parent–>left=ptr;
else
parent–>right=ptr;
free(cur);
return tree;
}

int totalNodes(struct node *tree)
{
if(tree==NULL)
return 0;
else
return(totalNodes(tree–>left) + totalNodes(tree–>right) + 1);
}
int totalExternalNodes(struct node *tree)
{
if(tree==NULL)
return 0;
else if((tree–>left==NULL) && (tree–>right==NULL))
return 1;
else
return (totalExternalNodes(tree–>left) + totalExternalNodes(tree–>right));
}

int totalInternalNodes(struct node *tree)
{
if( (tree==NULL) || ((tree–>left==NULL) && (tree–>right==NULL)))
return 0;
else
return (totalInternalNodes(tree–>left) + totalInternalNodes(tree–>right) + 1);
}

int Height(struct node *tree)
{
int leftheight, rightheight;
if(tree==NULL)
return 0;
else
{
leftheight = Height(tree–>left);
rightheight = Height(tree–>right);
if(leftheight > rightheight)
return (leftheight + 1);
else
return (rightheight + 1);
}
}
struct node *mirrorImage(struct node *tree)
{
struct node *ptr;
if(tree!=NULL)
{
mirrorImage(tree–>left);
mirrorImage(tree–>right);
ptr=tree–>left;
ptr–>left = ptr–>right;
tree–>right = ptr;
}
}

struct node *deleteTree(struct node *tree)
{
if(tree!=NULL)
{
deleteTree(tree–>left);
deleteTree(tree–>right);
free(tree);
}
}
Comment on lines +1 to +288
Copy link

Choose a reason for hiding this comment

The reason will be displayed to describe this comment to others. Learn more.

Isn't that supposed to be a Javascript source code?