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/* C++ program to find Inorder successor in a BST */ | |
#include<iostream> | |
using namespace std; | |
struct Node { | |
int data; | |
struct Node *left; | |
struct Node *right; | |
}; | |
//Function to find some data in the tree | |
Node* Find(Node*root, int data) { | |
if(root == NULL) return NULL; | |
else if(root->data == data) return root; | |
else if(root->data < data) return Find(root->right,data); | |
else return Find(root->left,data); | |
} | |
//Function to find Node with minimum value in a BST | |
struct Node* FindMin(struct Node* root) { | |
if(root == NULL) return NULL; | |
while(root->left != NULL) | |
root = root->left; | |
return root; | |
} | |
//Function to find Inorder Successor in a BST | |
struct Node* Getsuccessor(struct Node* root,int data) { | |
// Search the Node - O(h) | |
struct Node* current = Find(root,data); | |
if(current == NULL) return NULL; | |
if(current->right != NULL) { //Case 1: Node has right subtree | |
return FindMin(current->right); // O(h) | |
} | |
else { //Case 2: No right subtree - O(h) | |
struct Node* successor = NULL; | |
struct Node* ancestor = root; | |
while(ancestor != current) { | |
if(current->data < ancestor->data) { | |
successor = ancestor; // so far this is the deepest node for which current node is in left | |
ancestor = ancestor->left; | |
} | |
else | |
ancestor = ancestor->right; | |
} | |
return successor; | |
} | |
} | |
//Function to visit nodes in Inorder | |
void Inorder(Node *root) { | |
if(root == NULL) return; | |
Inorder(root->left); //Visit left subtree | |
printf("%d ",root->data); //Print data | |
Inorder(root->right); // Visit right subtree | |
} | |
// Function to Insert Node in a Binary Search Tree | |
Node* Insert(Node *root,char data) { | |
if(root == NULL) { | |
root = new Node(); | |
root->data = data; | |
root->left = root->right = NULL; | |
} | |
else if(data <= root->data) | |
root->left = Insert(root->left,data); | |
else | |
root->right = Insert(root->right,data); | |
return root; | |
} | |
int main() { | |
/*Code To Test the logic | |
Creating an example tree | |
5 | |
/ \ | |
3 10 | |
/ \ \ | |
1 4 11 | |
*/ | |
Node* root = NULL; | |
root = Insert(root,5); root = Insert(root,10); | |
root = Insert(root,3); root = Insert(root,4); | |
root = Insert(root,1); root = Insert(root,11); | |
//Print Nodes in Inorder | |
cout<<"Inorder Traversal: "; | |
Inorder(root); | |
cout<<"\n"; | |
// Find Inorder successor of some node. | |
struct Node* successor = Getsuccessor(root,1); | |
if(successor == NULL) cout<<"No successor Found\n"; | |
else | |
cout<<"Successor is "<<successor->data<<"\n"; | |
} |
` /* C++ program to find Inorder successor in a BST */
#include
using namespace std;
struct Node {
int data;
struct Node *left;
struct Node *right;
};
//Function to find some data in the tree
Node* Find(Node*root, int data) {
if(root == NULL) return NULL;
else if(root->data == data) return root;
else if(root->data < data) return Find(root->right,data);
else return Find(root->left,data);
}
//Function to find Node with maximum value in a BST
struct Node* FindMax(struct Node* root) {
if(root == NULL) return NULL;
while(root->right != NULL)
root = root->right;
return root;
}
//Function to find Inorder Predecessor in a BST
struct Node* Getpredecessor (struct Node* root,int data) {
// Search the Node - O(h)
struct Node* current = Find(root,data);
if(current == NULL) return NULL;
if(current->left != NULL) { //Case 1: Node has left subtree
return FindMax(current->left); // O(h)
}
else { //Case 2: No left subtree - O(h)
struct Node* predecessor = NULL;
struct Node* ancestor = root;
while(ancestor != current) {
if(current->data > ancestor->data) {
if(ancestor->data < current->data)
predecessor = ancestor; // so far this is the deepest node for which current node is in right
ancestor = ancestor->right;
}
else
ancestor = ancestor->left;
}
return predecessor ;
}
}
//Function to visit nodes in Inorder
void Inorder(Node *root) {
if(root == NULL) return;
Inorder(root->left); //Visit right subtree
printf("%d ",root->data); //Print data
Inorder(root->right); // Visit right subtree
}
//Function to visit nodes in Postorder
void Postorder(Node *root) {
if(root == NULL) return;
Postorder(root->right); //Visit right subtree
printf("%d ",root->data); //Print data
Postorder(root->left); // Visit right subtree
}
// Function to Insert Node in a Binary Search Tree
Node* Insert(Node *root,char data) {
if(root == NULL) {
root = new Node();
root->data = data;
root->left = root->right = NULL;
}
else if(data <= root->data)
root->left = Insert(root->left,data);
else
root->right = Insert(root->right,data);
return root;
}
int main() {
/*Code To Test the logic
Creating an example tree
5
/
3 10
/ \
1 4 11
/
Node root = NULL;
root = Insert(root,5); root = Insert(root,10);
root = Insert(root,3); root = Insert(root,4);
root = Insert(root,1); root = Insert(root,11);
//Print Nodes in Inorder
cout<<"Postorder Traversal: ";
Postorder(root);
cout<<"\n";
// Find Inorder successor of some node.
struct Node* predecessor = Getpredecessor(root,8);
if(predecessor == NULL) cout<<"No predecessor Found\n";
else
cout<<"Predecessor is "<<predecessor->data<<"\n";
}
i dont know if its good practice, but it a different faster implementation in trade off for higher memory requierements
Node* successor(Node * root, int data, Node * ancestor=NULL){
//if found, return either right sub or ancestor
if(root->data==data){
if(root->right!=NULL)return root->right;
else return ancestor;
}
// search for Node, if call for left sub, give self as arg
if (data<root->data)return successor(root->left, data, root);
else return successor(root->right, data, ancestor);
}
Hey Resul,
C++ supports backward compatibility from C, making it easier to use either of the syntaxes " cout<< " or printf(" %d ", root-> data ) .
Though, I agree each of these "print function to console" has different uses and applications.
Check this out for a better idea :
https://stackoverflow.com/questions/2872543/printf-vs-cout-in-c
Cheers.