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LargestBST
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LargestBST
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#include <iostream>
#include <queue>
template <typename T>
class BinaryTreeNode {
public :
T data;
BinaryTreeNode<T> *left;
BinaryTreeNode<T> *right;
BinaryTreeNode(T data) {
this -> data = data;
left = NULL;
right = NULL;
}
~BinaryTreeNode() {
if(left)
delete left;
if(right)
delete right;
}
};
using namespace std;
BinaryTreeNode<int>* takeInput() {
int rootData;
//cout << "Enter root data : ";
cin >> rootData;
if(rootData == -1) {
return NULL;
}
BinaryTreeNode<int> *root = new BinaryTreeNode<int>(rootData);
queue<BinaryTreeNode<int>*> q;
q.push(root);
while(!q.empty()) {
BinaryTreeNode<int> *currentNode = q.front();
q.pop();
int leftChild, rightChild;
//cout << "Enter left child of " << currentNode -> data << " : ";
cin >> leftChild;
if(leftChild != -1) {
BinaryTreeNode<int>* leftNode = new BinaryTreeNode<int>(leftChild);
currentNode -> left =leftNode;
q.push(leftNode);
}
//cout << "Enter right child of " << currentNode -> data << " : ";
cin >> rightChild;
if(rightChild != -1) {
BinaryTreeNode<int>* rightNode = new BinaryTreeNode<int>(rightChild);
currentNode -> right =rightNode;
q.push(rightNode);
}
}
return root;
}
int height(BinaryTreeNode<int> *root){
if(root==NULL)
return 0;
int a= height(root->left);
int b= height(root->right);
if(a>=b)
return a+1;
else
return b+1;
}
int largestBSTSubtree(BinaryTreeNode<int> *root) {
if(root==NULL)
return 1;
int h = height(root);
int a = largestBSTSubtree(root->left);
int b = largestBSTSubtree(root->right);
if(a>b)
return a;
else if(b>a)
return b;
else if(a==b && a==h-1 && root->left!=NULL && root->right!=NULL && root->left->data<root->data && root->right->data>=root->data)
return a+1;
else if(a==b)
return a;
}
int main() {
BinaryTreeNode<int>* root = takeInput();
cout << largestBSTSubtree(root);
delete root;
}