From f3be4d60eaa203412a3a2851988fb23caa5da728 Mon Sep 17 00:00:00 2001
From: Akshat Jain <akshatcodek@gmail.com>
Date: Mon, 4 Mar 2024 22:05:21 +0530
Subject: [PATCH] Adding code files till Lecture 71

---
 .../1-longestBloodline.cpp                    | 150 +++++++++++++++
 .../1A-longestBloodline.cpp                   | 157 ++++++++++++++++
 Lecture065-Trees Questions P3/2-LCAofBT.cpp   | 168 +++++++++++++++++
 Lecture065-Trees Questions P3/2-LCAofBT.exe   | Bin 0 -> 444057 bytes
 Lecture065-Trees Questions P3/2op-Lca.cpp     | 160 ++++++++++++++++
 .../3-SlouKsumPath.cpp                        | 172 +++++++++++++++++
 .../3-SlowKSumPath.cpp                        | 136 ++++++++++++++
 .../3-fastKsumPath.cpp                        | 132 +++++++++++++
 .../4-KthAncesstor.cpp                        | 125 +++++++++++++
 .../4-SC-1KthAncesstor.cpp                    | 160 ++++++++++++++++
 .../4-luvKthAncesstor.cpp                     | 149 +++++++++++++++
 .../5-MaxNonAdjacentSum.cpp                   | 130 +++++++++++++
 .../1-constructBT_InandPre.cpp                |  79 ++++++++
 .../2-constructBT_InandPost.cpp               |  69 +++++++
 Lecture067-Burn A Tree/Hard.cpp               | 175 ++++++++++++++++++
 .../1-InorderWithiotRecc.cpp                  |  71 +++++++
 .../2-MorrisT.cpp                             |  88 +++++++++
 .../3-FlattenBT.cpp                           | 150 +++++++++++++++
 .../3A-RecursiveFlattenBT.cpp                 | 148 +++++++++++++++
 Lecture069 - BST/1-Implementation.cpp         | 139 ++++++++++++++
 Lecture069 - BST/1-Implementation.exe         | Bin 0 -> 170404 bytes
 Lecture069 - BST/2-search.cpp                 |  37 ++++
 Lecture070-BST Questions/1-validateBST.cpp    |  35 ++++
 .../2-KthSmallesrElmt.cpp                     |  42 +++++
 Lecture070-BST Questions/3-Lca.cpp            |  38 ++++
 Lecture070-BST Questions/4-Presucc.cpp        |  65 +++++++
 Lecture071- BST 3/1-TwoSum.cpp                |  41 ++++
 Lecture071- BST 3/2-FlattenABst.cpp           |   0
 Lecture071- BST 3/3-NormalToBalanced.cpp      |   0
 Lecture071- BST 3/4-BSTfromPreorder.cpp       |  48 +++++
 30 files changed, 2864 insertions(+)
 create mode 100644 Lecture065-Trees Questions P3/1-longestBloodline.cpp
 create mode 100644 Lecture065-Trees Questions P3/1A-longestBloodline.cpp
 create mode 100644 Lecture065-Trees Questions P3/2-LCAofBT.cpp
 create mode 100644 Lecture065-Trees Questions P3/2-LCAofBT.exe
 create mode 100644 Lecture065-Trees Questions P3/2op-Lca.cpp
 create mode 100644 Lecture065-Trees Questions P3/3-SlouKsumPath.cpp
 create mode 100644 Lecture065-Trees Questions P3/3-SlowKSumPath.cpp
 create mode 100644 Lecture065-Trees Questions P3/3-fastKsumPath.cpp
 create mode 100644 Lecture065-Trees Questions P3/4-KthAncesstor.cpp
 create mode 100644 Lecture065-Trees Questions P3/4-SC-1KthAncesstor.cpp
 create mode 100644 Lecture065-Trees Questions P3/4-luvKthAncesstor.cpp
 create mode 100644 Lecture065-Trees Questions P3/5-MaxNonAdjacentSum.cpp
 create mode 100644 Lecture066-Construct A BT/1-constructBT_InandPre.cpp
 create mode 100644 Lecture066-Construct A BT/2-constructBT_InandPost.cpp
 create mode 100644 Lecture067-Burn A Tree/Hard.cpp
 create mode 100644 Lecture068-Morris Traversal & Flatten Tree/1-InorderWithiotRecc.cpp
 create mode 100644 Lecture068-Morris Traversal & Flatten Tree/2-MorrisT.cpp
 create mode 100644 Lecture068-Morris Traversal & Flatten Tree/3-FlattenBT.cpp
 create mode 100644 Lecture068-Morris Traversal & Flatten Tree/3A-RecursiveFlattenBT.cpp
 create mode 100644 Lecture069 - BST/1-Implementation.cpp
 create mode 100644 Lecture069 - BST/1-Implementation.exe
 create mode 100644 Lecture069 - BST/2-search.cpp
 create mode 100644 Lecture070-BST Questions/1-validateBST.cpp
 create mode 100644 Lecture070-BST Questions/2-KthSmallesrElmt.cpp
 create mode 100644 Lecture070-BST Questions/3-Lca.cpp
 create mode 100644 Lecture070-BST Questions/4-Presucc.cpp
 create mode 100644 Lecture071- BST 3/1-TwoSum.cpp
 create mode 100644 Lecture071- BST 3/2-FlattenABst.cpp
 create mode 100644 Lecture071- BST 3/3-NormalToBalanced.cpp
 create mode 100644 Lecture071- BST 3/4-BSTfromPreorder.cpp

diff --git a/Lecture065-Trees Questions P3/1-longestBloodline.cpp b/Lecture065-Trees Questions P3/1-longestBloodline.cpp
new file mode 100644
index 00000000..b281768e
--- /dev/null
+++ b/Lecture065-Trees Questions P3/1-longestBloodline.cpp	
@@ -0,0 +1,150 @@
+//{ Driver Code Starts
+//Initial Template for C++
+
+#include <bits/stdc++.h>
+using namespace std;
+
+struct Node
+{
+    int data;
+    struct Node *left;
+    struct Node *right;
+
+    Node(int x)
+    {
+        data = x;
+        left = NULL;
+        right = NULL;
+    }
+};
+
+void printInorder(Node *node)
+{
+    if (node == NULL)
+    {
+        return;
+    }
+    printInorder(node->left);
+    cout << node->data << " ";
+    printInorder(node->right);
+}
+Node *buildTree(string str)
+{
+    // Corner Case
+    if (str.length() == 0 || str[0] == 'N')
+        return NULL;
+
+    // Creating vector of strings from input
+    // string after spliting by space
+    vector<string> ip;
+
+    istringstream iss(str);
+    for (string str; iss >> str;)
+        ip.push_back(str);
+
+    // Create the root of the tree
+    Node *root = new Node(stoi(ip[0]));
+
+    // Push the root to the queue
+    queue<Node *> queue;
+    queue.push(root);
+
+    // Starting from the second element
+    int i = 1;
+    while (!queue.empty() && i < ip.size())
+    {
+
+        // Get and remove the front of the queue
+        Node *currNode = queue.front();
+        queue.pop();
+
+        // Get the current node's value from the string
+        string currVal = ip[i];
+
+        // If the left child is not null
+        if (currVal != "N")
+        {
+
+            // Create the left child for the current Node
+            currNode->left = new Node(stoi(currVal));
+
+            // Push it to the queue
+            queue.push(currNode->left);
+        }
+
+        // For the right child
+        i++;
+        if (i >= ip.size())
+            break;
+        currVal = ip[i];
+
+        // If the right child is not null
+        if (currVal != "N")
+        {
+
+            // Create the right child for the current node
+            currNode->right = new Node(stoi(currVal));
+
+            // Push it to the queue
+            queue.push(currNode->right);
+        }
+        i++;
+    }
+
+    return root;
+}
+
+
+class Solution
+{
+public:
+    // height,sum
+    pair<int,int> multiPurpose(Node* root){
+        if( root == NULL){
+            return {0,0};
+        }
+        pair<int,int> left = multiPurpose(root -> left);
+        pair<int,int> right = multiPurpose(root -> right);
+        int sum = 0, height = 0;
+        if( left.first > right.first){
+            sum = left.second + root-> data;
+            height = 1 + left.first;
+        }
+        else if( left.first < right.first){
+            sum = right.second + root-> data;
+            height = 1 + right.first;
+        }
+        else{
+            height = 1 + left.first;
+            sum = root -> data + max(left.second,right.second);
+        }
+        
+        return {height,sum};
+    }
+    
+    int sumOfLongRootToLeafPath(Node *root)
+    {
+    
+        pair<int,int> temp = multiPurpose(root);
+        
+        return temp.second;
+    }
+};
+
+int main()
+{
+
+    int t;
+    scanf("%d", &t);
+    cin.ignore();
+    while (t--)
+    {
+        string treeString;
+        getline(cin, treeString);
+        Node *root = buildTree(treeString);
+        Solution obj;
+        int res = obj.sumOfLongRootToLeafPath(root);
+        cout << res << "\n";
+    }
+    return 0;
+}
diff --git a/Lecture065-Trees Questions P3/1A-longestBloodline.cpp b/Lecture065-Trees Questions P3/1A-longestBloodline.cpp
new file mode 100644
index 00000000..c2816b61
--- /dev/null
+++ b/Lecture065-Trees Questions P3/1A-longestBloodline.cpp	
@@ -0,0 +1,157 @@
+// { Driver Code Starts
+//Initial Template for C++
+
+#include <bits/stdc++.h>
+using namespace std;
+
+struct Node
+{
+    int data;
+    struct Node *left;
+    struct Node *right;
+
+    Node(int x)
+    {
+        data = x;
+        left = NULL;
+        right = NULL;
+    }
+};
+
+void printInorder(Node *node)
+{
+    if (node == NULL)
+    {
+        return;
+    }
+    printInorder(node->left);
+    cout << node->data << " ";
+    printInorder(node->right);
+}
+Node *buildTree(string str)
+{
+    // Corner Case
+    if (str.length() == 0 || str[0] == 'N')
+        return NULL;
+
+    // Creating vector of strings from input
+    // string after spliting by space
+    vector<string> ip;
+
+    istringstream iss(str);
+    for (string str; iss >> str;)
+        ip.push_back(str);
+
+    // Create the root of the tree
+    Node *root = new Node(stoi(ip[0]));
+
+    // Push the root to the queue
+    queue<Node *> queue;
+    queue.push(root);
+
+    // Starting from the second element
+    int i = 1;
+    while (!queue.empty() && i < ip.size())
+    {
+
+        // Get and remove the front of the queue
+        Node *currNode = queue.front();
+        queue.pop();
+
+        // Get the current node's value from the string
+        string currVal = ip[i];
+
+        // If the left child is not null
+        if (currVal != "N")
+        {
+
+            // Create the left child for the current Node
+            currNode->left = new Node(stoi(currVal));
+
+            // Push it to the queue
+            queue.push(currNode->left);
+        }
+
+        // For the right child
+        i++;
+        if (i >= ip.size())
+            break;
+        currVal = ip[i];
+
+        // If the right child is not null
+        if (currVal != "N")
+        {
+
+            // Create the right child for the current node
+            currNode->right = new Node(stoi(currVal));
+
+            // Push it to the queue
+            queue.push(currNode->right);
+        }
+        i++;
+    }
+
+    return root;
+}
+
+
+class Solution
+{
+public:
+    
+    void solve(Node* root, int sum, int &maxSum, int len, int &maxLen) {
+        //base case
+        if( root == NULL ) {
+            
+            if(len > maxLen) 
+            {
+                maxLen = len;
+                maxSum = sum;
+            }
+            else if(len == maxLen) 
+            {
+                maxSum = max(sum, maxSum);
+            }
+            return;
+        }
+        
+        sum = sum + root->data;
+        
+        solve(root->left, sum, maxSum, len+1, maxLen);
+        solve(root->right, sum, maxSum, len+1, maxLen);
+
+    }
+    
+    int sumOfLongRootToLeafPath(Node *root)
+    {
+        int len = 0;
+        int maxLen = 0;
+        
+        int sum = 0;
+        int maxSum = INT_MIN;
+        
+        solve(root, sum, maxSum, len, maxLen);
+        
+        return maxSum;
+    }
+};
+
+// { Driver Code Starts.
+
+int main()
+{
+
+    int t;
+    scanf("%d", &t);
+    cin.ignore();
+    while (t--)
+    {
+        string treeString;
+        getline(cin, treeString);
+        Node *root = buildTree(treeString);
+        Solution obj;
+        int res = obj.sumOfLongRootToLeafPath(root);
+        cout << res << "\n";
+    }
+    return 0;
+}  // } Driver Code Ends
\ No newline at end of file
diff --git a/Lecture065-Trees Questions P3/2-LCAofBT.cpp b/Lecture065-Trees Questions P3/2-LCAofBT.cpp
new file mode 100644
index 00000000..7c95da5c
--- /dev/null
+++ b/Lecture065-Trees Questions P3/2-LCAofBT.cpp	
@@ -0,0 +1,168 @@
+//{ Driver Code Starts
+#include <bits/stdc++.h>
+using namespace std;
+
+// Tree Node
+struct Node
+{
+    int data;
+    Node* left;
+    Node* right;
+    Node(){
+        data = 0;
+        left = right = NULL;
+    }
+    Node(int x){
+        data = x;
+        left = right = NULL;
+    }
+};
+
+class Solution
+{
+    public:
+    //Function to return the lowest common ancestor in a Binary Tree.
+   void FindHim(Node* &root, int n1, int n2, vector<Node*> output , vector<Node*> &s1, vector<Node*> &s2){
+        if(root == NULL){
+            return;
+        }
+        output.push_back(root);
+        if(root -> data == n1){
+        // output.push_back(root);
+            s1 = output;
+        }
+        if(root -> data == n2){
+        // output.push_back(root);
+            s2 = output;
+        }
+        FindHim(root->left,n1,n2,output,s1,s2);
+        FindHim(root->right,n1,n2,output,s1,s2);
+        
+    }
+    
+    Node* lca(Node* root ,int n1 ,int n2 )
+    {
+       
+       vector<Node*> s1,s2,ans;
+       FindHim(root,n1,n2,ans,s1,s2);
+       int i = 0, j = 0;
+       int a = s1.size(), b = s2.size();
+       while( (i < a && j < b) && s1[i] == s2[j] ){
+           i++;
+           j++;
+       }
+       
+       
+       
+       return s1[i-1];
+    }
+};
+
+//{ Driver Code Starts.
+
+Node* newNode(int val)
+{
+    Node* temp = new Node;
+    temp->data = val;
+    temp->left = NULL;
+    temp->right = NULL;
+
+    return temp;
+}
+
+
+// Function to Build Tree
+Node* buildTree(string str)
+{
+    // Corner Case
+    if(str.length() == 0 || str[0] == 'N')
+        return NULL;
+
+    // Creating vector of strings from input
+    // string after spliting by space
+    vector<string> ip;
+
+    istringstream iss(str);
+    for(string str; iss >> str; )
+        ip.push_back(str);
+
+    // for(string i:ip)
+    //     cout<<i<<" ";
+    // cout<<endl;
+    // Create the root of the tree
+    Node* root = newNode(stoi(ip[0]));
+
+    // Push the root to the queue
+    queue<Node*> queue;
+    queue.push(root);
+
+    // Starting from the second element
+    int i = 1;
+    while(!queue.empty() && i < ip.size()) {
+
+        // Get and remove the front of the queue
+        Node* currNode = queue.front();
+        queue.pop();
+
+        // Get the current node's value from the string
+        string currVal = ip[i];
+
+        // If the left child is not null
+        if(currVal != "N") {
+
+            // Create the left child for the current node
+            currNode->left = newNode(stoi(currVal));
+
+            // Push it to the queue
+            queue.push(currNode->left);
+        }
+
+        // For the right child
+        i++;
+        if(i >= ip.size())
+            break;
+        currVal = ip[i];
+
+        // If the right child is not null
+        if(currVal != "N") {
+
+            // Create the right child for the current node
+            currNode->right = newNode(stoi(currVal));
+
+            // Push it to the queue
+            queue.push(currNode->right);
+        }
+        i++;
+    }
+
+    return root;
+}
+
+// Function for Inorder Traversal
+void printInorder(Node* root)
+{
+    if(!root)
+        return;
+
+    printInorder(root->left);
+    cout<<root->data<<" ";
+    printInorder(root->right);
+}
+
+int main() {
+    int t;
+    scanf("%d",&t);
+    while(t--)
+    {
+        int a,b;
+        scanf("%d %d ",&a,&b);
+        string s;
+        getline(cin,s);
+        Node* root = buildTree(s);
+        Solution ob;
+        cout<<ob.lca(root,a,b)->data<<endl;
+    }
+    return 0;
+}
+
+// } Driver Code Ends
\ No newline at end of file
diff --git a/Lecture065-Trees Questions P3/2-LCAofBT.exe b/Lecture065-Trees Questions P3/2-LCAofBT.exe
new file mode 100644
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diff --git a/Lecture065-Trees Questions P3/2op-Lca.cpp b/Lecture065-Trees Questions P3/2op-Lca.cpp
new file mode 100644
index 00000000..1da4aa9f
--- /dev/null
+++ b/Lecture065-Trees Questions P3/2op-Lca.cpp	
@@ -0,0 +1,160 @@
+// { Driver Code Starts
+#include <bits/stdc++.h>
+using namespace std;
+
+// Tree Node
+struct Node
+{
+    int data;
+    Node* left;
+    Node* right;
+    Node(){
+        data = 0;
+        left = right = NULL;
+    }
+    Node(int x){
+        data = x;
+        left = right = NULL;
+    }
+};
+
+class Solution
+{
+    public:
+    //Function to return the lowest common ancestor in a Binary Tree.
+    Node* lca(Node* root ,int n1 ,int n2 )
+    {
+       //base case
+        if(root == NULL)
+        {
+            return NULL;
+        }
+        
+        if(root->data == n1 || root->data == n2) 
+        {
+            return root;
+        }
+        
+        Node* leftAns = lca(root->left, n1, n2);
+        Node* rightAns = lca(root->right, n1, n2);
+        
+        if(leftAns != NULL && rightAns != NULL) 
+        {
+            return root;
+        }
+        else if(leftAns != NULL && rightAns == NULL)
+            return leftAns;
+        else if(leftAns == NULL && rightAns != NULL)
+            return rightAns;
+        else
+            return NULL;
+    }
+};
+
+// { Driver Code Starts.
+
+Node* newNode(int val)
+{
+    Node* temp = new Node;
+    temp->data = val;
+    temp->left = NULL;
+    temp->right = NULL;
+
+    return temp;
+}
+
+
+// Function to Build Tree
+Node* buildTree(string str)
+{
+    // Corner Case
+    if(str.length() == 0 || str[0] == 'N')
+        return NULL;
+
+    // Creating vector of strings from input
+    // string after spliting by space
+    vector<string> ip;
+
+    istringstream iss(str);
+    for(string str; iss >> str; )
+        ip.push_back(str);
+
+    // for(string i:ip)
+    //     cout<<i<<" ";
+    // cout<<endl;
+    // Create the root of the tree
+    Node* root = newNode(stoi(ip[0]));
+
+    // Push the root to the queue
+    queue<Node*> queue;
+    queue.push(root);
+
+    // Starting from the second element
+    int i = 1;
+    while(!queue.empty() && i < ip.size()) {
+
+        // Get and remove the front of the queue
+        Node* currNode = queue.front();
+        queue.pop();
+
+        // Get the current node's value from the string
+        string currVal = ip[i];
+
+        // If the left child is not null
+        if(currVal != "N") {
+
+            // Create the left child for the current node
+            currNode->left = newNode(stoi(currVal));
+
+            // Push it to the queue
+            queue.push(currNode->left);
+        }
+
+        // For the right child
+        i++;
+        if(i >= ip.size())
+            break;
+        currVal = ip[i];
+
+        // If the right child is not null
+        if(currVal != "N") {
+
+            // Create the right child for the current node
+            currNode->right = newNode(stoi(currVal));
+
+            // Push it to the queue
+            queue.push(currNode->right);
+        }
+        i++;
+    }
+
+    return root;
+}
+
+// Function for Inorder Traversal
+void printInorder(Node* root)
+{
+    if(!root)
+        return;
+
+    printInorder(root->left);
+    cout<<root->data<<" ";
+    printInorder(root->right);
+}
+
+int main() {
+    int t;
+    scanf("%d",&t);
+    while(t--)
+    {
+        int a,b;
+        scanf("%d %d ",&a,&b);
+        string s;
+        getline(cin,s);
+        Node* root = buildTree(s);
+        Solution ob;
+        cout<<ob.lca(root,a,b)->data<<endl;
+    }
+    return 0;
+}
+  // } Driver Code Ends
\ No newline at end of file
diff --git a/Lecture065-Trees Questions P3/3-SlouKsumPath.cpp b/Lecture065-Trees Questions P3/3-SlouKsumPath.cpp
new file mode 100644
index 00000000..f688fff6
--- /dev/null
+++ b/Lecture065-Trees Questions P3/3-SlouKsumPath.cpp	
@@ -0,0 +1,172 @@
+//{ Driver Code Starts
+//Initial template for C++
+
+#include <bits/stdc++.h>
+using namespace std;
+
+struct Node 
+{
+    int data;
+    Node *left;
+    Node *right;
+
+    Node(int val) {
+        data = val;
+        left = right = NULL;
+    }
+};
+
+// Function to Build Tree
+Node *buildTree(string str) 
+{
+    // Corner Case
+    if (str.length() == 0 || str[0] == 'N')
+        return NULL;
+
+    // Creating vector of strings from input
+    // string after spliting by space
+    vector<string> ip;
+
+    istringstream iss(str);
+    for (string str; iss >> str;)
+        ip.push_back(str);
+
+    // Create the root of the tree
+    Node *root = new Node(stoi(ip[0]));
+
+    // Push the root to the queue
+    queue<Node *> queue;
+    queue.push(root);
+
+    // Starting from the second element
+    int i = 1;
+    while (!queue.empty() && i < ip.size()) {
+
+        // Get and remove the front of the queue
+        Node *currNode = queue.front();
+        queue.pop();
+
+        // Get the current Node's value from the string
+        string currVal = ip[i];
+
+        // If the left child is not null
+        if (currVal != "N") {
+
+            // Create the left child for the current Node
+            currNode->left = new Node(stoi(currVal));
+
+            // Push it to the queue
+            queue.push(currNode->left);
+        }
+
+        // For the right child
+        i++;
+        if (i >= ip.size())
+            break;
+        currVal = ip[i];
+
+        // If the right child is not null
+        if (currVal != "N") {
+
+            // Create the right child for the current Node
+            currNode->right = new Node(stoi(currVal));
+
+            // Push it to the queue
+            queue.push(currNode->right);
+        }
+        i++;
+    }
+
+    return root;
+}
+
+
+// } Driver Code Ends
+//User function template for C++
+
+/*
+struct Node 
+{
+    int data;
+    Node *left;
+    Node *right;
+
+    Node(int val) {
+        data = val;
+        left = right = NULL;
+    }
+};
+*/
+class Solution{
+  public:
+  
+    void solve2(Node* root, int k, long long int sum, int &count){
+        
+        if(root == NULL){
+            return;
+        }
+        
+        sum+=root->data;
+        if(sum == k){
+            count++;
+        }
+        cout << root -> data << " " << sum << " " << count << endl;
+        Node* l = root->left;
+        Node* r = root->right;
+        solve(r,k,sum,count);
+        solve(r,k,0,count);
+        solve(l,k,0,count);
+        solve(l,k,sum,count);
+    }
+    void solve(Node* root, int k, long long int sum, int &count ,int flag = 0){
+        
+        if(root == NULL){
+            return;
+        }
+        Node* l = root->left;
+        Node* r = root->right;
+        if(flag == 0){
+        solve(r,k,0,count,0);
+        solve(l,k,0,count,0);
+        }
+        sum+=root->data;
+        if(sum == k){
+            count++;
+        }
+        // cout << root -> data << " " << sum << " " << count << endl;
+        solve(r,k,sum,count,1);
+        solve(l,k,sum,count,1);
+    }
+    
+  
+    int sumK(Node *root,int k)
+    {
+        vector<int> path;
+        int count = 0;
+        solve(root,k,0,count);
+        return count;
+    }
+};
+
+//{ Driver Code Starts.
+
+int main() {
+    string tc;
+    getline(cin, tc);
+    int t = stoi(tc);
+  
+    while(t--)
+    {
+        string s ,ch;
+        getline(cin, s);
+        Node* root = buildTree(s);
+
+        string key;
+        getline(cin, key);
+        int k=stoi(key);
+        Solution ob;
+        cout << ob.sumK(root, k) << "\n";
+    }
+    return 0;
+}
+// } Driver Code Ends
\ No newline at end of file
diff --git a/Lecture065-Trees Questions P3/3-SlowKSumPath.cpp b/Lecture065-Trees Questions P3/3-SlowKSumPath.cpp
new file mode 100644
index 00000000..16f26556
--- /dev/null
+++ b/Lecture065-Trees Questions P3/3-SlowKSumPath.cpp	
@@ -0,0 +1,136 @@
+// ! IMP
+
+
+#include <bits/stdc++.h>
+using namespace std;
+
+struct Node 
+{
+    int data;
+    Node *left;
+    Node *right;
+
+    Node(int val) {
+        data = val;
+        left = right = NULL;
+    }
+};
+
+// Function to Build Tree
+Node *buildTree(string str) 
+{
+    // Corner Case
+    if (str.length() == 0 || str[0] == 'N')
+        return NULL;
+
+    // Creating vector of strings from input
+    // string after spliting by space
+    vector<string> ip;
+
+    istringstream iss(str);
+    for (string str; iss >> str;)
+        ip.push_back(str);
+
+    // Create the root of the tree
+    Node *root = new Node(stoi(ip[0]));
+
+    // Push the root to the queue
+    queue<Node *> queue;
+    queue.push(root);
+
+    // Starting from the second element
+    int i = 1;
+    while (!queue.empty() && i < ip.size()) {
+
+        // Get and remove the front of the queue
+        Node *currNode = queue.front();
+        queue.pop();
+
+        // Get the current Node's value from the string
+        string currVal = ip[i];
+
+        // If the left child is not null
+        if (currVal != "N") {
+
+            // Create the left child for the current Node
+            currNode->left = new Node(stoi(currVal));
+
+            // Push it to the queue
+            queue.push(currNode->left);
+        }
+
+        // For the right child
+        i++;
+        if (i >= ip.size())
+            break;
+        currVal = ip[i];
+
+        // If the right child is not null
+        if (currVal != "N") {
+
+            // Create the right child for the current Node
+            currNode->right = new Node(stoi(currVal));
+
+            // Push it to the queue
+            queue.push(currNode->right);
+        }
+        i++;
+    }
+
+    return root;
+}
+
+
+class Solution{
+  public:
+    void solve(Node* root, int k, vector<int> path, int &count){
+        if(root == NULL)
+            return;
+        
+        path.push_back(root->data);
+        solve(root->left,k,path,count);
+        solve(root->right,k,path,count);
+        
+        int size = path.size();
+        int sum = 0;
+        for(int i = size -1; i >=0 ; i--){
+            sum+=path[i];
+            if(sum ==k){
+                count++;
+            }
+            path.pop_back();
+        }
+    }
+    
+  
+    int sumK(Node *root,int k)
+    {
+        vector<int> path;
+        int count = 0;
+        solve(root,k,path,count);
+        return count;
+    }
+};
+
+//{ Driver Code Starts.
+
+int main() {
+    string tc;
+    getline(cin, tc);
+    int t = stoi(tc);
+  
+    while(t--)
+    {
+        string s ,ch;
+        getline(cin, s);
+        Node* root = buildTree(s);
+
+        string key;
+        getline(cin, key);
+        int k=stoi(key);
+        Solution ob;
+        cout << ob.sumK(root, k) << "\n";
+    }
+    return 0;
+}
+// } Driver Code Ends
\ No newline at end of file
diff --git a/Lecture065-Trees Questions P3/3-fastKsumPath.cpp b/Lecture065-Trees Questions P3/3-fastKsumPath.cpp
new file mode 100644
index 00000000..65c66263
--- /dev/null
+++ b/Lecture065-Trees Questions P3/3-fastKsumPath.cpp	
@@ -0,0 +1,132 @@
+// ! Prefix Sum in trees
+
+#include <bits/stdc++.h>
+using namespace std;
+
+struct Node 
+{
+    int data;
+    Node *left;
+    Node *right;
+
+    Node(int val) {
+        data = val;
+        left = right = NULL;
+    }
+};
+
+// Function to Build Tree
+Node *buildTree(string str) 
+{
+    // Corner Case
+    if (str.length() == 0 || str[0] == 'N')
+        return NULL;
+
+    // Creating vector of strings from input
+    // string after spliting by space
+    vector<string> ip;
+
+    istringstream iss(str);
+    for (string str; iss >> str;)
+        ip.push_back(str);
+
+    // Create the root of the tree
+    Node *root = new Node(stoi(ip[0]));
+
+    // Push the root to the queue
+    queue<Node *> queue;
+    queue.push(root);
+
+    // Starting from the second element
+    int i = 1;
+    while (!queue.empty() && i < ip.size()) {
+
+        // Get and remove the front of the queue
+        Node *currNode = queue.front();
+        queue.pop();
+
+        // Get the current Node's value from the string
+        string currVal = ip[i];
+
+        // If the left child is not null
+        if (currVal != "N") {
+
+            // Create the left child for the current Node
+            currNode->left = new Node(stoi(currVal));
+
+            // Push it to the queue
+            queue.push(currNode->left);
+        }
+
+        // For the right child
+        i++;
+        if (i >= ip.size())
+            break;
+        currVal = ip[i];
+
+        // If the right child is not null
+        if (currVal != "N") {
+
+            // Create the right child for the current Node
+            currNode->right = new Node(stoi(currVal));
+
+            // Push it to the queue
+            queue.push(currNode->right);
+        }
+        i++;
+    }
+
+    return root;
+}
+
+class Solution{
+  public:
+    map <int,int> notForSlow;
+    void solve(Node* root, int k, int currSum,int &count){
+        if(root == NULL){
+            return;
+        }
+        currSum+=root->data;
+        if(notForSlow[currSum - k] > 0){
+            count+=notForSlow[currSum - k];
+        }
+        notForSlow[currSum]++;
+        solve(root->left,k,currSum,count);
+        solve(root->right,k,currSum,count);
+        notForSlow[currSum]--;
+        
+    }
+    
+  
+    int sumK(Node *root,int k)
+    {
+        notForSlow[0]++;
+        vector<int> path;
+        int count = 0;
+        solve(root,k,0,count);
+        return count;
+    }
+};
+
+//{ Driver Code Starts.
+
+int main() {
+    string tc;
+    getline(cin, tc);
+    int t = stoi(tc);
+  
+    while(t--)
+    {
+        string s ,ch;
+        getline(cin, s);
+        Node* root = buildTree(s);
+
+        string key;
+        getline(cin, key);
+        int k=stoi(key);
+        Solution ob;
+        cout << ob.sumK(root, k) << "\n";
+    }
+    return 0;
+}
+// } Driver Code Ends
\ No newline at end of file
diff --git a/Lecture065-Trees Questions P3/4-KthAncesstor.cpp b/Lecture065-Trees Questions P3/4-KthAncesstor.cpp
new file mode 100644
index 00000000..d0e9401d
--- /dev/null
+++ b/Lecture065-Trees Questions P3/4-KthAncesstor.cpp	
@@ -0,0 +1,125 @@
+//{ Driver Code Starts
+#include <bits/stdc++.h>
+using namespace std;
+
+struct Node
+{
+    int data;
+    struct Node *left;
+    struct Node *right;
+};
+Node* newNode(int val)
+{
+    Node* temp = new Node;
+    temp->data = val;
+    temp->left = NULL;
+    temp->right = NULL;
+    
+    return temp;
+}
+Node* buildTree(string str)
+{   
+    // Corner Case
+    if(str.length() == 0 || str[0] == 'N')
+            return NULL;
+    
+    // Creating vector of strings from input 
+    // string after spliting by space
+    vector<string> ip;
+    
+    istringstream iss(str);
+    for(string str; iss >> str; )
+        ip.push_back(str);
+        
+    // Create the root of the tree
+    Node* root = newNode(stoi(ip[0]));
+        
+    // Push the root to the queue
+    queue<Node*> queue;
+    queue.push(root);
+        
+    // Starting from the second element
+    int i = 1;
+    while(!queue.empty() && i < ip.size()) {
+            
+        // Get and remove the front of the queue
+        Node* currNode = queue.front();
+        queue.pop();
+            
+        // Get the current node's value from the string
+        string currVal = ip[i];
+            
+        // If the left child is not null
+        if(currVal != "N") {
+                
+            // Create the left child for the current node
+            currNode->left = newNode(stoi(currVal));
+                
+            // Push it to the queue
+            queue.push(currNode->left);
+        }
+            
+        // For the right child
+        i++;
+        if(i >= ip.size())
+            break;
+        currVal = ip[i];
+            
+        // If the right child is not null
+        if(currVal != "N") {
+                
+            // Create the right child for the current node
+            currNode->right = newNode(stoi(currVal));
+                
+            // Push it to the queue
+            queue.push(currNode->right);
+        }
+        i++;
+    }
+    
+    return root;
+}
+int kthAncestor(Node *root, int k, int node);
+
+int main()
+{
+    int t;
+	scanf("%d ",&t);
+    while(t--)
+    {
+        int k , node;
+        scanf("%d ",&k);
+        scanf("%d ",&node);
+        string s;
+		getline(cin,s);
+		Node* root = buildTree(s);
+		cout<<kthAncestor(root,k,node)<<endl;
+    }
+    return 0;
+}
+
+void solve(Node* root, int n, vector<int> temp,vector<int> &peedhi ){
+    if(root == NULL){
+        return;
+    }
+    if( root -> data == n){
+        peedhi = temp;
+        return;
+    }
+    temp.push_back(root->data);
+    solve(root->left,n,temp,peedhi);
+    solve(root->right,n,temp,peedhi);
+}
+
+int kthAncestor(Node *root, int k, int node)
+{
+   vector<int> peedhi,temp;
+   solve(root,node,temp,peedhi);
+   int ans = -1;
+   if(k <= peedhi.size() )
+       ans = peedhi[peedhi.size() - k];
+  
+   
+   
+   return ans;
+}
diff --git a/Lecture065-Trees Questions P3/4-SC-1KthAncesstor.cpp b/Lecture065-Trees Questions P3/4-SC-1KthAncesstor.cpp
new file mode 100644
index 00000000..1bdc53b1
--- /dev/null
+++ b/Lecture065-Trees Questions P3/4-SC-1KthAncesstor.cpp	
@@ -0,0 +1,160 @@
+//{ Driver Code Starts
+#include <bits/stdc++.h>
+using namespace std;
+
+struct Node
+{
+    int data;
+    struct Node *left;
+    struct Node *right;
+};
+Node* newNode(int val)
+{
+    Node* temp = new Node;
+    temp->data = val;
+    temp->left = NULL;
+    temp->right = NULL;
+    
+    return temp;
+}
+Node* buildTree(string str)
+{   
+    // Corner Case
+    if(str.length() == 0 || str[0] == 'N')
+            return NULL;
+    
+    // Creating vector of strings from input 
+    // string after spliting by space
+    vector<string> ip;
+    
+    istringstream iss(str);
+    for(string str; iss >> str; )
+        ip.push_back(str);
+        
+    // Create the root of the tree
+    Node* root = newNode(stoi(ip[0]));
+        
+    // Push the root to the queue
+    queue<Node*> queue;
+    queue.push(root);
+        
+    // Starting from the second element
+    int i = 1;
+    while(!queue.empty() && i < ip.size()) {
+            
+        // Get and remove the front of the queue
+        Node* currNode = queue.front();
+        queue.pop();
+            
+        // Get the current node's value from the string
+        string currVal = ip[i];
+            
+        // If the left child is not null
+        if(currVal != "N") {
+                
+            // Create the left child for the current node
+            currNode->left = newNode(stoi(currVal));
+                
+            // Push it to the queue
+            queue.push(currNode->left);
+        }
+            
+        // For the right child
+        i++;
+        if(i >= ip.size())
+            break;
+        currVal = ip[i];
+            
+        // If the right child is not null
+        if(currVal != "N") {
+                
+            // Create the right child for the current node
+            currNode->right = newNode(stoi(currVal));
+                
+            // Push it to the queue
+            queue.push(currNode->right);
+        }
+        i++;
+    }
+    
+    return root;
+}
+int kthAncestor(Node *root, int k, int node);
+
+int main()
+{
+    int t;
+	scanf("%d ",&t);
+    while(t--)
+    {
+        int k , node;
+        scanf("%d ",&k);
+        scanf("%d ",&node);
+        string s;
+		getline(cin,s);
+		Node* root = buildTree(s);
+		cout<<kthAncestor(root,k,node)<<endl;
+    }
+    return 0;
+}
+
+// } Driver Code Ends
+
+
+//User function Template for C++
+/*
+Structure of the node of the binary tree is as
+struct Node
+{
+	int data;
+	struct Node *left, *right;
+};
+*/
+// your task is to complete this function
+
+// data, kth
+pair<int,int> solve(Node* root, int k, int node){
+    if(root == NULL){
+        return {0,-1};
+    }
+    if(root -> data == node){
+        return {node,0};
+    }
+    
+    pair<int,int> left = solve(root->left,k,node);
+    pair<int,int> right = solve(root->right,k,node);
+    // cout << root -> data << endl;
+    // cout << left.first << " " << left.second << endl;
+    // cout << right.first << " " << right.second << endl;
+    if(left.second != -1){
+        if(left.second  < k){
+            return {root->data,left.second+1};
+        }
+        else{
+            return {left.first,k};
+        }
+    }
+    else if(right.second != -1){
+        // cout << root -> data << endl;
+       if(right.second  < k){
+            return {root->data,right.second+1};
+        }
+        else{
+            return {right.first,k};
+        } 
+    }
+    else{
+        return {0,-1};
+    }
+    
+}
+
+int kthAncestor(Node *root, int k, int node)
+{
+    pair<int,int> ans = solve(root,k,node);
+    // cout << ans.first << " " <<ans.second << endl;
+    if(ans.second == k)
+    return ans.first;
+    
+    return -1;
+}
diff --git a/Lecture065-Trees Questions P3/4-luvKthAncesstor.cpp b/Lecture065-Trees Questions P3/4-luvKthAncesstor.cpp
new file mode 100644
index 00000000..9613e367
--- /dev/null
+++ b/Lecture065-Trees Questions P3/4-luvKthAncesstor.cpp	
@@ -0,0 +1,149 @@
+// { Driver Code Starts
+#include <bits/stdc++.h>
+using namespace std;
+
+struct Node
+{
+    int data;
+    struct Node *left;
+    struct Node *right;
+};
+Node* newNode(int val)
+{
+    Node* temp = new Node;
+    temp->data = val;
+    temp->left = NULL;
+    temp->right = NULL;
+    
+    return temp;
+}
+Node* buildTree(string str)
+{   
+    // Corner Case
+    if(str.length() == 0 || str[0] == 'N')
+            return NULL;
+    
+    // Creating vector of strings from input 
+    // string after spliting by space
+    vector<string> ip;
+    
+    istringstream iss(str);
+    for(string str; iss >> str; )
+        ip.push_back(str);
+        
+    // Create the root of the tree
+    Node* root = newNode(stoi(ip[0]));
+        
+    // Push the root to the queue
+    queue<Node*> queue;
+    queue.push(root);
+        
+    // Starting from the second element
+    int i = 1;
+    while(!queue.empty() && i < ip.size()) {
+            
+        // Get and remove the front of the queue
+        Node* currNode = queue.front();
+        queue.pop();
+            
+        // Get the current node's value from the string
+        string currVal = ip[i];
+            
+        // If the left child is not null
+        if(currVal != "N") {
+                
+            // Create the left child for the current node
+            currNode->left = newNode(stoi(currVal));
+                
+            // Push it to the queue
+            queue.push(currNode->left);
+        }
+            
+        // For the right child
+        i++;
+        if(i >= ip.size())
+            break;
+        currVal = ip[i];
+            
+        // If the right child is not null
+        if(currVal != "N") {
+                
+            // Create the right child for the current node
+            currNode->right = newNode(stoi(currVal));
+                
+            // Push it to the queue
+            queue.push(currNode->right);
+        }
+        i++;
+    }
+    
+    return root;
+}
+int kthAncestor(Node *root, int k, int node);
+
+int main()
+{
+    int t;
+	scanf("%d ",&t);
+    while(t--)
+    {
+        int k , node;
+        scanf("%d ",&k);
+        scanf("%d ",&node);
+        string s;
+		getline(cin,s);
+		Node* root = buildTree(s);
+		cout<<kthAncestor(root,k,node)<<endl;
+    }
+    return 0;
+}
+
+Node* solve(Node* root, int &k, int node) {
+    //base case
+    if(root == NULL)
+        return NULL;
+        
+    if(root->data == node) 
+    {
+        return root;
+    }
+    
+    Node* leftAns = solve(root->left, k, node);
+    Node* rightAns = solve(root->right, k, node);
+
+
+    //wapas
+    if(leftAns != NULL && rightAns == NULL) 
+    {
+        k--;
+        if(k<=0) 
+        {
+            //answer lock
+            k = INT_MAX;
+            return root;
+        }
+        return leftAns;
+    }
+    
+    if(leftAns == NULL && rightAns != NULL) {
+        k--;
+        if(k<=0) 
+        {
+            //answer lock
+            k = INT_MAX;
+            return root;
+        }
+        return rightAns;
+    }
+    return NULL;
+    
+
+}
+int kthAncestor(Node *root, int k, int node)
+{
+    Node* ans = solve(root, k, node);
+    if(ans == NULL || ans->data == node)
+        return -1;
+    else
+        return ans->data;
+}
\ No newline at end of file
diff --git a/Lecture065-Trees Questions P3/5-MaxNonAdjacentSum.cpp b/Lecture065-Trees Questions P3/5-MaxNonAdjacentSum.cpp
new file mode 100644
index 00000000..9cca83bc
--- /dev/null
+++ b/Lecture065-Trees Questions P3/5-MaxNonAdjacentSum.cpp	
@@ -0,0 +1,130 @@
+// ! IMP
+#include<bits/stdc++.h> 
+using namespace std; 
+
+// Tree Node
+struct Node
+{
+    int data;
+    Node* left;
+    Node* right;
+};
+
+// Utility function to create a new Tree Node
+Node* newNode(int val)
+{
+    Node* temp = new Node;
+    temp->data = val;
+    temp->left = NULL;
+    temp->right = NULL;
+    
+    return temp;
+}
+
+// Function to Build Tree
+Node* buildTree(string str)
+{   
+    // Corner Case
+    if(str.length() == 0 || str[0] == 'N')
+            return NULL;
+    
+    // Creating vector of strings from input 
+    // string after spliting by space
+    vector<string> ip;
+    
+    istringstream iss(str);
+    for(string str; iss >> str; )
+        ip.push_back(str);
+        
+    // Create the root of the tree
+    Node* root = newNode(stoi(ip[0]));
+        
+    // Push the root to the queue
+    queue<Node*> queue;
+    queue.push(root);
+        
+    // Starting from the second element
+    int i = 1;
+    while(!queue.empty() && i < ip.size()) {
+            
+        // Get and remove the front of the queue
+        Node* currNode = queue.front();
+        queue.pop();
+            
+        // Get the current node's value from the string
+        string currVal = ip[i];
+            
+        // If the left child is not null
+        if(currVal != "N") {
+                
+            // Create the left child for the current node
+            currNode->left = newNode(stoi(currVal));
+                
+            // Push it to the queue
+            queue.push(currNode->left);
+        }
+            
+        // For the right child
+        i++;
+        if(i >= ip.size())
+            break;
+        currVal = ip[i];
+            
+        // If the right child is not null
+        if(currVal != "N") {
+                
+            // Create the right child for the current node
+            currNode->right = newNode(stoi(currVal));
+                
+            // Push it to the queue
+            queue.push(currNode->right);
+        }
+        i++;
+    }
+    
+    return root;
+}
+
+class Solution{
+  public:
+
+    // inc, not inc
+   pair<int,int> solve(Node*root){
+       if(root == NULL){
+           pair<int,int> n = make_pair(0,0);
+           return n;
+       }
+       
+       pair<int,int> left = solve(root->left);
+       pair<int,int> right = solve(root->right);
+       
+       int inc = root->data + left.second + right.second;
+       int not_inc = max(left.first,left.second) + max(right.first,right.second);
+       
+       return {inc,not_inc};
+   }
+    
+    
+    int getMaxSum(Node *root) 
+    {
+        pair<int,int> ans = solve(root);
+        
+        return max(ans.first,ans.second);
+    }
+};
+
+int main()
+{
+  int t;
+  scanf("%d ",&t);
+  while (t--)
+  {
+        string s;
+		getline(cin,s);
+		Node* root = buildTree(s);
+		Solution ob;
+        cout<<ob.getMaxSum(root)<<endl;
+  }
+  return 0;
+}
+// } Driver Code Ends
\ No newline at end of file
diff --git a/Lecture066-Construct A BT/1-constructBT_InandPre.cpp b/Lecture066-Construct A BT/1-constructBT_InandPre.cpp
new file mode 100644
index 00000000..1bbb63b0
--- /dev/null
+++ b/Lecture066-Construct A BT/1-constructBT_InandPre.cpp	
@@ -0,0 +1,79 @@
+#include<bits/stdc++.h>
+using namespace std;
+
+struct Node
+{
+	int data;
+	struct Node *left;
+	struct Node *right;
+	
+	Node(int x){
+	    data = x;
+	    left = NULL;
+	    right = NULL;
+	}
+};
+void printPostOrder(Node *root)
+{
+	if(root==NULL)
+		return;
+	printPostOrder(root->left);
+	printPostOrder(root->right);
+	cout<<root->data<<" ";
+}
+
+class Solution{
+    public:
+  
+    Node* buildTree(int in[],int pre[], int n)
+    {
+        if( n == 0 ){
+            return NULL;
+        }
+        
+        if( n == 1){
+            Node* ans = new Node(in[0]);
+            return ans;
+        }
+        
+
+
+	    // ! to optimize we can use map
+   		// !     |
+    	// !    \/ 
+        int i = 0;
+        while( in[i] != pre[0]){
+            i++;
+        }
+        
+        
+        Node* ans = new Node(pre[0]);
+        ans -> left = buildTree(in,pre+1,i);
+        ans -> right = buildTree(in+i+1,pre+1+i,n-i-1);
+        return ans;
+    }
+};
+
+//{ Driver Code Starts.
+int main()
+{
+	int t;
+	cin>>t;
+	while(t--)
+	{
+		int n;
+		cin>>n;
+		
+		int inorder[n], preorder[n];
+		for(int i=0; i<n; i++)
+			cin>> inorder[i];
+		for(int i=0; i<n; i++)
+			cin>> preorder[i];
+		Solution obj;
+		Node *root = obj.buildTree(inorder, preorder, n);
+		printPostOrder(root);
+		cout<< endl;
+	}
+}
+
+// } Driver Code Ends
\ No newline at end of file
diff --git a/Lecture066-Construct A BT/2-constructBT_InandPost.cpp b/Lecture066-Construct A BT/2-constructBT_InandPost.cpp
new file mode 100644
index 00000000..1aeef604
--- /dev/null
+++ b/Lecture066-Construct A BT/2-constructBT_InandPost.cpp	
@@ -0,0 +1,69 @@
+#include <bits/stdc++.h>
+using namespace std;
+
+struct Node {
+    int data;
+    struct Node* left;
+    struct Node* right;
+
+    Node(int x) {
+        data = x;
+        left = right = NULL;
+    }
+};
+
+void preOrder(Node* node) {
+    if (node == NULL) return;
+
+    /* then print the data of node */
+    printf("%d ", node->data);
+
+    /* first recur on left child */
+    preOrder(node->left);
+
+    /* now recur on right child */
+    preOrder(node->right);
+}
+
+Node* buildTree(int in[], int post[], int n);
+
+int main() {
+    int t, n;
+    cin >> t;
+    while (t--) {
+        cin >> n;
+        int in[n], post[n];
+        for (int i = 0; i < n; i++) cin >> in[i];
+        for (int i = 0; i < n; i++) cin >> post[i];
+        Node* root = buildTree(in, post, n);
+        preOrder(root);
+        cout << endl;
+    }
+    return 0;
+}
+
+Node *buildTree(int in[], int post[], int n) {
+    if( n == 0){
+        return NULL;
+    }
+    
+    if(n == 1){
+        Node* ans = new Node(post[n-1]);
+        return ans;
+    }
+    
+    Node* ans = new Node(post[n-1]);
+
+    // ! to optimize we can use map
+    // !     |
+    // !    \/ 
+    int i = 0;
+    while( in[i] != post[n-1]){
+        i++;
+    }
+    
+    ans -> left = buildTree(in,post,i);
+    ans -> right = buildTree(in+i+1,post+i,n-i-1);
+    
+    return ans;
+}
diff --git a/Lecture067-Burn A Tree/Hard.cpp b/Lecture067-Burn A Tree/Hard.cpp
new file mode 100644
index 00000000..533f898a
--- /dev/null
+++ b/Lecture067-Burn A Tree/Hard.cpp	
@@ -0,0 +1,175 @@
+// ! T-IMP
+#include <bits/stdc++.h>
+using namespace std;
+
+struct Node {
+    int data;
+    Node *left;
+    Node *right;
+
+    Node(int val) {
+        data = val;
+        left = right = NULL;
+    }
+};
+
+
+Node *buildTree(string str) {
+    // Corner Case
+    if (str.length() == 0 || str[0] == 'N')
+        return NULL;
+
+    // Creating vector of strings from input
+    // string after spliting by space
+    vector<string> ip;
+
+    istringstream iss(str);
+    for (string str; iss >> str;)
+        ip.push_back(str);
+
+    // Create the root of the tree
+    Node *root = new Node(stoi(ip[0]));
+
+    // Push the root to the queue
+    queue<Node *> queue;
+    queue.push(root);
+
+    // Starting from the second element
+    int i = 1;
+    while (!queue.empty() && i < ip.size()) {
+
+        // Get and remove the front of the queue
+        Node *currNode = queue.front();
+        queue.pop();
+
+        // Get the current Node's value from the string
+        string currVal = ip[i];
+
+        // If the left child is not null
+        if (currVal != "N") {
+
+            // Create the left child for the current Node
+            currNode->left = new Node(stoi(currVal));
+
+            // Push it to the queue
+            queue.push(currNode->left);
+        }
+
+        // For the right child
+        i++;
+        if (i >= ip.size())
+            break;
+        currVal = ip[i];
+
+        // If the right child is not null
+        if (currVal != "N") {
+
+            // Create the right child for the current Node
+            currNode->right = new Node(stoi(currVal));
+
+            // Push it to the queue
+            queue.push(currNode->right);
+        }
+        i++;
+    }
+
+    return root;
+}
+
+class Solution {
+  public:
+    Node* findingDaddy(Node* root,Node* papa, map<Node*,Node*> &parent,int target){
+        if( root == NULL)
+            return NULL;
+        
+        parent[root] = papa;
+        Node* left = findingDaddy(root->left,root,parent,target);
+        Node* right = findingDaddy(root->right,root,parent,target);
+        
+        if(root-> data == target)
+            return root;
+        
+        if(left != NULL)
+            return left;
+        
+        if(right != NULL)
+            return right;
+        
+        return NULL;
+    }
+  
+    int minTime(Node* root, int target) 
+    {
+        if(root == NULL){
+            return 0;
+        }
+        map<Node*,Node*> parent;
+        Node* tNode = findingDaddy(root,NULL,parent,target);
+        int time = 0;
+        map<Node*,bool> visited ;
+        visited[tNode] = true;
+        // cout << parent.size() << " ";
+        queue<Node*> q;
+        q.push(tNode);
+        // cout << q.size();
+        while(!q.empty()){
+            int flag = 0;
+            int size = q.size();
+            for( int i = 0; i < size; i++){
+                Node*temp = q.front();
+                q.pop();
+                if(parent[temp] != NULL && visited[parent[temp]] == false){
+                    q.push(parent[temp]);
+                        flag = 1;
+                }
+                
+                    if(temp->left != NULL && visited[temp->left] == false){
+                        q.push(temp->left);
+                            flag = 1;
+                    }
+                    if(temp->right != NULL && visited[temp->right] == false){
+                        q.push(temp->right);
+                            flag = 1;
+                    }
+                
+                
+                visited[parent[temp]] = true;
+                visited[temp->left] = true;
+                visited[temp->right] = true;
+            }
+                 if(flag) 
+                    time++;
+            
+        }
+        return time;
+    }
+};
+
+//{ Driver Code Starts.
+
+int main() 
+{
+    int tc;
+    scanf("%d ", &tc);
+    while (tc--) 
+    {    
+        string treeString;
+        getline(cin, treeString);
+        // cout<<treeString<<"\n";
+        int target;
+        cin>>target;
+        // cout<<target<<"\n";
+
+        Node *root = buildTree(treeString);
+        Solution obj;
+        cout<<obj.minTime(root, target)<<"\n"; 
+
+        cin.ignore();
+
+    }
+
+
+    return 0;
+}
+
+// } Driver Code Ends
\ No newline at end of file
diff --git a/Lecture068-Morris Traversal & Flatten Tree/1-InorderWithiotRecc.cpp b/Lecture068-Morris Traversal & Flatten Tree/1-InorderWithiotRecc.cpp
new file mode 100644
index 00000000..7433aaf0
--- /dev/null
+++ b/Lecture068-Morris Traversal & Flatten Tree/1-InorderWithiotRecc.cpp	
@@ -0,0 +1,71 @@
+// C++ program to print inorder traversal
+// using stack.
+
+#include <bits/stdc++.h>
+using namespace std;
+
+// A binary tree Node has data, pointer to left child
+// and a pointer to right child
+struct Node {
+	int data;
+	struct Node* left;
+	struct Node* right;
+	Node(int data)
+	{
+		this->data = data;
+		left = right = NULL;
+	}
+};
+
+//Iterative function for inorder tree traversal
+void inOrder(struct Node* root)
+{
+	stack<Node*> s;
+	Node* curr = root;
+
+	while (curr != NULL || s.empty() == false) {
+		
+		// Reach the left most Node of the
+		// curr Node
+		while (curr != NULL) {
+			
+			// Place pointer to a tree node on
+			// the stack before traversing
+			// the node's left subtree
+			s.push(curr);
+			curr = curr->left;
+		}
+
+		// Current must be NULL at this point
+		curr = s.top();
+		s.pop();
+
+		cout << curr->data << " ";
+
+		// we have visited the node and its
+		// left subtree. Now, it's right
+		// subtree's turn
+		curr = curr->right;
+
+	}
+}
+
+// Driver program to test above functions
+int main()
+{
+	/* Constructed binary tree is
+			1
+			/ \
+		2	 3
+		/ \
+	4	 5
+	*/
+	struct Node* root = new Node(1);
+	root->left = new Node(2);
+	root->right = new Node(3);
+	root->left->left = new Node(4);
+	root->left->right = new Node(5);
+
+	inOrder(root);
+	return 0;
+}
diff --git a/Lecture068-Morris Traversal & Flatten Tree/2-MorrisT.cpp b/Lecture068-Morris Traversal & Flatten Tree/2-MorrisT.cpp
new file mode 100644
index 00000000..ea28a18c
--- /dev/null
+++ b/Lecture068-Morris Traversal & Flatten Tree/2-MorrisT.cpp	
@@ -0,0 +1,88 @@
+// ! IMP Inorder traversal S.C O(1)
+
+#include <bits/stdc++.h>
+using namespace std;
+
+struct tNode {
+	int data;
+	struct tNode* left;
+	struct tNode* right;
+};
+
+void MorrisTraversal(struct tNode* root)
+{
+	struct tNode *current, *pre;
+
+	if (root == NULL)
+		return;
+
+	current = root;
+	while (current != NULL) {
+
+		if (current->left == NULL) {
+			cout << current->data << " ";
+			current = current->right;
+		}
+		else {
+
+			/* Find the inorder predecessor of current */
+			pre = current->left;
+			while (pre->right != NULL
+				&& pre->right != current)
+				pre = pre->right;
+
+			/* Make current as the right child of its
+			inorder predecessor */
+			if (pre->right == NULL) {
+				pre->right = current;
+				current = current->left;
+			}
+
+			/* Revert the changes made in the 'if' part to
+			restore the original tree i.e., fix the right
+			child of predecessor */
+			else {
+				pre->right = NULL;
+				cout << current->data << " ";
+				current = current->right;
+			} /* End of if condition pre->right == NULL */
+		} /* End of if condition current->left == NULL*/
+	} /* End of while */
+}
+
+/* UTILITY FUNCTIONS */
+/* Helper function that allocates a new tNode with the
+given data and NULL left and right pointers. */
+struct tNode* newtNode(int data)
+{
+	struct tNode* node = new tNode;
+	node->data = data;
+	node->left = NULL;
+	node->right = NULL;
+
+	return (node);
+}
+
+/* Driver program to test above functions*/
+int main()
+{
+
+	/* Constructed binary tree is
+			1
+		/ \
+		2	 3
+	/ \
+	4	 5
+*/
+	struct tNode* root = newtNode(1);
+	root->left = newtNode(2);
+	root->right = newtNode(3);
+	root->left->left = newtNode(4);
+	root->left->right = newtNode(5);
+
+	MorrisTraversal(root);
+
+	return 0;
+}
+
+// This code is contributed by Sania Kumari Gupta (kriSania804)
diff --git a/Lecture068-Morris Traversal & Flatten Tree/3-FlattenBT.cpp b/Lecture068-Morris Traversal & Flatten Tree/3-FlattenBT.cpp
new file mode 100644
index 00000000..bfdc8168
--- /dev/null
+++ b/Lecture068-Morris Traversal & Flatten Tree/3-FlattenBT.cpp	
@@ -0,0 +1,150 @@
+
+#include<bits/stdc++.h>
+using namespace std;
+
+struct Node {
+	int key;
+	Node *left, *right;
+};
+
+
+Node* newNode(int key)
+{
+	Node* node = new Node;
+	node->key = key;
+	node->left = node->right = NULL;
+	return (node);
+}
+
+Node* buildTree(string str)
+{
+	// Corner Case
+	if (str.length() == 0 || str[0] == 'N')
+		return NULL;
+
+	// Creating vector of strings from input
+	// string after spliting by space
+	vector<string> ip;
+
+	istringstream iss(str);
+	for (string str; iss >> str; )
+		ip.push_back(str);
+
+	// Create the root of the tree
+	Node* root = newNode(stoi(ip[0]));
+
+	// Push the root to the queue
+	queue<Node*> queue;
+	queue.push(root);
+
+	// Starting from the second element
+	int i = 1;
+	while (!queue.empty() && i < ip.size()) {
+
+		// Get and remove the front of the queue
+		Node* currNode = queue.front();
+		queue.pop();
+
+		// Get the current node's value from the string
+		string currVal = ip[i];
+
+		// If the left child is not null
+		if (currVal != "N") {
+
+			// Create the left child for the current node
+			currNode->left = newNode(stoi(currVal));
+
+			// Push it to the queue
+			queue.push(currNode->left);
+		}
+
+		// For the right child
+		i++;
+		if (i >= ip.size())
+			break;
+		currVal = ip[i];
+
+		// If the right child is not null
+		if (currVal != "N") {
+
+			// Create the right child for the current node
+			currNode->right = newNode(stoi(currVal));
+
+			// Push it to the queue
+			queue.push(currNode->right);
+		}
+		i++;
+	}
+
+	return root;
+}
+
+void inorder(struct Node* root)
+{
+	// base condition
+	if (root == NULL)
+		return;
+	inorder(root->left);
+	cout << root->key << " ";
+	inorder(root->right);
+}
+
+class Solution
+{
+    
+    public:
+    void flatten(Node *root)
+    {
+        Node* curr = root;
+        while(curr != NULL ){
+            if(curr -> left == NULL){
+                curr = curr -> right;
+            }
+            else{
+                Node* pre = curr->left;
+                Node* store = pre;
+                while(pre -> right != NULL && pre -> right != curr)
+                    pre = pre -> right;
+                
+                if(pre -> right == NULL){
+                    pre -> right = curr;
+                    curr = curr -> left; 
+                }
+                else{
+                    curr -> left = NULL;
+                    Node* temp = curr -> right;
+                    curr -> right = store;
+                    pre -> right = temp;
+                    curr = pre;
+                }
+            }
+            
+        }
+    }
+};
+
+int main() {
+
+    int t;
+	cin >> t;
+	getchar();
+
+	while (t--)
+	{
+
+		string str;
+		getline(cin, str);
+	
+		Node *root = buildTree(str);
+		Solution ob;
+		ob.flatten(root);
+		inorder(root);
+
+
+		cout << "\n";
+	}
+
+	return 0;
+}
+
+// } Driver Code Ends
\ No newline at end of file
diff --git a/Lecture068-Morris Traversal & Flatten Tree/3A-RecursiveFlattenBT.cpp b/Lecture068-Morris Traversal & Flatten Tree/3A-RecursiveFlattenBT.cpp
new file mode 100644
index 00000000..7858e743
--- /dev/null
+++ b/Lecture068-Morris Traversal & Flatten Tree/3A-RecursiveFlattenBT.cpp	
@@ -0,0 +1,148 @@
+//{ Driver Code Starts
+//Initial Template for C++
+
+#include<bits/stdc++.h>
+using namespace std;
+
+struct Node {
+	int key;
+	Node *left, *right;
+};
+
+/* utility that allocates a new Node
+   with the given key  */
+Node* newNode(int key)
+{
+	Node* node = new Node;
+	node->key = key;
+	node->left = node->right = NULL;
+	return (node);
+}
+
+Node* buildTree(string str)
+{
+	// Corner Case
+	if (str.length() == 0 || str[0] == 'N')
+		return NULL;
+
+	// Creating vector of strings from input
+	// string after spliting by space
+	vector<string> ip;
+
+	istringstream iss(str);
+	for (string str; iss >> str; )
+		ip.push_back(str);
+
+	// Create the root of the tree
+	Node* root = newNode(stoi(ip[0]));
+
+	// Push the root to the queue
+	queue<Node*> queue;
+	queue.push(root);
+
+	// Starting from the second element
+	int i = 1;
+	while (!queue.empty() && i < ip.size()) {
+
+		// Get and remove the front of the queue
+		Node* currNode = queue.front();
+		queue.pop();
+
+		// Get the current node's value from the string
+		string currVal = ip[i];
+
+		// If the left child is not null
+		if (currVal != "N") {
+
+			// Create the left child for the current node
+			currNode->left = newNode(stoi(currVal));
+
+			// Push it to the queue
+			queue.push(currNode->left);
+		}
+
+		// For the right child
+		i++;
+		if (i >= ip.size())
+			break;
+		currVal = ip[i];
+
+		// If the right child is not null
+		if (currVal != "N") {
+
+			// Create the right child for the current node
+			currNode->right = newNode(stoi(currVal));
+
+			// Push it to the queue
+			queue.push(currNode->right);
+		}
+		i++;
+	}
+
+	return root;
+}
+
+void inorder(struct Node* root)
+{
+	// base condition
+	if (root == NULL)
+		return;
+	inorder(root->left);
+	cout << root->key << " ";
+	inorder(root->right);
+}
+
+
+// } Driver Code Ends
+//User function Template for C++
+class Solution
+{
+    Node* partByPart(Node* root){
+        
+        if(root==NULL || (root -> left == NULL && root -> right == NULL)){
+            return root;
+        }
+        Node*temp = root-> right;
+        Node* curr = root;
+        root -> right = partByPart(root->left);
+        while(curr -> right != NULL)
+         curr = curr -> right;
+         
+        curr-> right = partByPart(temp);
+        root -> left = NULL;
+        return root;
+    }
+    
+    public:
+    void flatten(Node *root)
+    {
+        Node* Ans = partByPart(root);
+    }
+};
+
+//{ Driver Code Starts.
+int main() {
+
+    int t;
+	cin >> t;
+	getchar();
+
+	while (t--)
+	{
+
+		string str;
+		getline(cin, str);
+	
+		Node *root = buildTree(str);
+		Solution ob;
+		ob.flatten(root);
+		inorder(root);
+
+
+		cout << "\n";
+	}
+
+	return 0;
+}
+
+// } Driver Code Ends
\ No newline at end of file
diff --git a/Lecture069 - BST/1-Implementation.cpp b/Lecture069 - BST/1-Implementation.cpp
new file mode 100644
index 00000000..93853406
--- /dev/null
+++ b/Lecture069 - BST/1-Implementation.cpp	
@@ -0,0 +1,139 @@
+#include<bits/stdc++.h>
+using namespace std;
+
+class Node{
+    public:
+    int data;
+    Node* left;
+    Node* right;
+
+    Node(int x){
+        this->data = x;
+        this->left = NULL;
+        this->right = NULL;
+    }
+};
+
+void levelOrderTraversal(Node* root){
+    queue<Node*> q;
+    q.push(root);
+    q.push(NULL);
+    while (!q.empty()){
+        Node* temp = q.front();
+        q.pop();
+        if( temp == NULL){
+            cout << endl;
+            if(!q.empty()){
+                q.push(NULL);
+            }
+        }
+        else{
+            cout << temp -> data << " ";
+            if(temp -> left){
+                q.push(temp -> left);
+            }
+            else{
+                // cout << "N ";
+            }
+            if(temp -> right){
+                q.push(temp -> right);
+            }
+            else{
+                // cout << "N ";
+            }
+            // q.push(NULL);
+        }
+    }
+    
+    
+}
+
+Node* Insert(Node* root, int x){
+    if(root == NULL){
+        Node* temp = new Node(x);
+        return temp;
+    }
+    int t = root->data;
+    if( t > x)
+        root -> left = Insert(root->left,x);
+    else
+        root -> right = Insert(root->right,x);
+    
+    return root;
+}
+
+int maxValue(Node* root){
+    while( root -> right != NULL)
+        root = root -> right;
+    
+    return root -> data;
+}
+
+int minValue(Node* root){
+    while( root -> left != NULL)
+        root = root -> left;
+    
+    return root -> data;
+}
+
+Node* Delete(Node* root, int x){
+    if(root == NULL){
+        return NULL;
+    }
+
+    if( root -> data  == x){
+        // 0 child
+        if( root -> left == NULL && root -> right == NULL){
+            delete root;
+            return NULL;
+        }
+
+        // 1 child
+        if( root -> left == NULL && root -> right != NULL){
+            Node* temp = root -> right;
+            delete root;
+            return temp;
+        }
+        if( root -> left != NULL && root -> right == NULL){
+            Node* temp = root -> left;
+            delete root;
+            return temp;
+        }
+
+        //  2 children
+        if( root -> left != NULL && root -> right != NULL){
+            int mini = minValue(root -> right);
+            root -> data = mini;
+            root -> right = Delete(root -> right, mini);
+            return root;
+        }
+
+    }
+    else if( root -> data  > x ){
+        root -> left = Delete(root -> left,x);
+        return root;
+    }
+        root -> right = Delete(root -> right,x);
+        return root;
+    
+
+}
+
+void takeInput(Node* &root){
+    int d;
+    cin >> d;
+    while(d != -1){
+        root = Insert(root,d);
+        cin >> d;
+    }
+}
+
+int main(){
+    Node* root = NULL;
+    takeInput(root);
+    levelOrderTraversal(root);
+    root = Delete(root,5);
+    levelOrderTraversal(root);
+
+return 0;
+}
\ No newline at end of file
diff --git a/Lecture069 - BST/1-Implementation.exe b/Lecture069 - BST/1-Implementation.exe
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diff --git a/Lecture069 - BST/2-search.cpp b/Lecture069 - BST/2-search.cpp
new file mode 100644
index 00000000..e837bf40
--- /dev/null
+++ b/Lecture069 - BST/2-search.cpp	
@@ -0,0 +1,37 @@
+#include<bits/stdc++.h>
+using namespace std;
+
+template <typename T>
+    class BinaryTreeNode
+    {
+    public:
+        T data;
+        BinaryTreeNode<T> *left, *right;
+        BinaryTreeNode() : data(0), left(NULL), right(NULL) {}
+        BinaryTreeNode(T x) : data(x), left(NULL), right(NULL) {}
+        BinaryTreeNode(T x, BinaryTreeNode<T> *left, BinaryTreeNode<T> *right) : data(x), left(left), right(right) {}
+    };
+
+bool searchInBST(BinaryTreeNode<int> *root, int x) {
+    while(root != NULL){
+        int t = root -> data;
+        if( t == x){
+            return true;
+        }
+        else if( t > x){
+            root = root -> left;
+        }
+        else{
+            root = root -> right;
+        }
+    }
+
+    return false;
+}
+
+int main(){
+    
+
+
+return 0;
+}
\ No newline at end of file
diff --git a/Lecture070-BST Questions/1-validateBST.cpp b/Lecture070-BST Questions/1-validateBST.cpp
new file mode 100644
index 00000000..9c81a912
--- /dev/null
+++ b/Lecture070-BST Questions/1-validateBST.cpp	
@@ -0,0 +1,35 @@
+// Approach 1 inorder traversal iss sorted
+// Approach 2 left subtree all nodes contains value less than root and right has greater
+#include <bits/stdc++.h> 
+using namespace std;
+template <typename T>
+
+class BinaryTreeNode 
+{
+public : 
+    T data;
+    BinaryTreeNode<T> *left;
+    BinaryTreeNode<T> *right;
+
+    BinaryTreeNode(T data) {
+        this -> data = data;
+        left = NULL;
+        right = NULL;
+    }
+};
+
+
+bool isBST(BinaryTreeNode<int> *root, int up, int low){
+    if(root == NULL){
+        return true;
+    }
+    bool check = (root -> data >= low) && (root -> data <= up);
+    bool left = isBST(root->left,root->data,low);
+    bool right = isBST(root -> right,up,root->data);
+    return left && right && check;
+}
+
+
+bool validateBST(BinaryTreeNode<int> *root) {
+    return isBST(root,INT_MAX,INT_MIN);
+}
\ No newline at end of file
diff --git a/Lecture070-BST Questions/2-KthSmallesrElmt.cpp b/Lecture070-BST Questions/2-KthSmallesrElmt.cpp
new file mode 100644
index 00000000..335d5934
--- /dev/null
+++ b/Lecture070-BST Questions/2-KthSmallesrElmt.cpp	
@@ -0,0 +1,42 @@
+#include <bits/stdc++.h> 
+using namespace std;
+template <typename T>
+
+class BinaryTreeNode 
+{
+public : 
+    T data;
+    BinaryTreeNode<T> *left;
+    BinaryTreeNode<T> *right;
+
+    BinaryTreeNode(T data) {
+        this -> data = data;
+        left = NULL;
+        right = NULL;
+    }
+};
+
+int solve(BinaryTreeNode<int>* root, int  &k){
+    if(root == NULL){
+        return -1;
+    }
+    int left = solve(root -> left,k);
+    if( k == 0){
+        return left;
+    }
+        k--;
+    // cout << root -> data << " " << k << endl;
+    if( k == 0){
+        return root->data;
+    }
+    int right = solve(root->right,k);
+    if( k == 0){
+        return right;
+    }
+    return -1;
+}
+
+int kthSmallest(BinaryTreeNode<int>* root, int k) {
+    
+    return solve(root,k);
+}
\ No newline at end of file
diff --git a/Lecture070-BST Questions/3-Lca.cpp b/Lecture070-BST Questions/3-Lca.cpp
new file mode 100644
index 00000000..b6948272
--- /dev/null
+++ b/Lecture070-BST Questions/3-Lca.cpp	
@@ -0,0 +1,38 @@
+#include<iostream>
+using namespace std;
+
+class TreeNode
+{
+public:
+    int data;
+    TreeNode *left, *right;
+    TreeNode() : data(0), left(NULL), right(NULL) {}
+    TreeNode(int x) : data(x), left(NULL), right(NULL) {}
+    TreeNode(int x, TreeNode *left, TreeNode *right) : data(x), left(left), right(right) {}
+};
+
+
+TreeNode *find(TreeNode *root, TreeNode *p, TreeNode *q){
+    if(root == NULL){
+        return NULL;
+    }
+    if(p->data <= root->data && q -> data >= root->data){
+        return root;
+    }
+    if(p->data > root -> data){
+        return find(root->right, p, q);
+    }
+        return find(root->left, p, q);
+}
+
+
+TreeNode *LCAinaBST(TreeNode *root, TreeNode *p, TreeNode *q)
+{
+    if(p -> data < q -> data){
+        return find(root,p,q);
+    }
+    if(p -> data < q -> data){
+        return find(root,p,q);
+    }
+    return root;
+}
\ No newline at end of file
diff --git a/Lecture070-BST Questions/4-Presucc.cpp b/Lecture070-BST Questions/4-Presucc.cpp
new file mode 100644
index 00000000..acb83834
--- /dev/null
+++ b/Lecture070-BST Questions/4-Presucc.cpp	
@@ -0,0 +1,65 @@
+#include<iostream>
+#include<vector>
+using namespace std;
+
+ class TreeNode
+{
+public:
+    int data;
+    TreeNode *left, *right;
+    TreeNode() : data(0), left(NULL), right(NULL) {}
+    TreeNode(int x) : data(x), left(NULL), right(NULL) {}
+    TreeNode(int x, TreeNode *left, TreeNode *right) : data(x), left(left), right(right) {}
+};
+
+
+
+
+pair<int, int> predecessorSuccessor(TreeNode *root, int key)
+{
+    vector<int> ans;
+    TreeNode* q = root;
+    int i;
+    ans.push_back(-1);
+    while(q != NULL){
+        if(q -> left == NULL){
+            if (q->data <= key) {
+              i = ans.size();
+            }
+            ans.push_back(q -> data);
+            // cout << q -> data << " ";
+            q = q-> right; 
+        }
+        else{
+            TreeNode* temp = q -> left;
+            while(temp -> right != NULL && temp -> right != q){
+            temp = temp -> right;
+            }
+            if(temp -> right == NULL){
+            temp -> right = q;        
+              q = q -> left;
+            }
+            else{
+            if (q->data <= key) {
+              i = ans.size();
+            }
+                // ans.push_back(temp->data);
+                // cout << temp -> data << " ";
+                // cout << q -> data << " ";
+                ans.push_back(q->data);
+                q = q -> right;
+                temp->right = NULL;
+            }
+        }
+    }
+        ans.push_back(-1);
+        // for( int i = 0; i < ans.size(); i++)
+        // cout << ans [i] << " ";
+
+        // cout<< endl << i << endl;
+        if(ans[i] == key)
+        return{ans[i-1],ans[i+1]};
+
+        return{ans[i],ans[i+1]};
+        
+}
\ No newline at end of file
diff --git a/Lecture071- BST 3/1-TwoSum.cpp b/Lecture071- BST 3/1-TwoSum.cpp
new file mode 100644
index 00000000..66708fa8
--- /dev/null
+++ b/Lecture071- BST 3/1-TwoSum.cpp	
@@ -0,0 +1,41 @@
+#include <bits/stdc++.h> 
+using namespace std;
+template <typename T>
+class BinaryTreeNode {
+    public : 
+    T data;
+    BinaryTreeNode<T> *left;
+    BinaryTreeNode<T> *right;
+
+    BinaryTreeNode(T data) {
+        this -> data = data;
+        left = NULL;
+        right = NULL;
+    }
+    
+};
+
+void Inorder(BinaryTreeNode<int>* root, vector<int> &storage){
+    if( root == NULL){
+        return;
+    }
+    Inorder(root->left,storage);
+    storage.push_back(root->data);
+    Inorder(root->right,storage);
+}
+
+
+bool twoSumInBST(BinaryTreeNode<int>* root, int target) {
+	vector<int> storage;
+    Inorder(root,storage);
+    int i = 0, j = storage.size()-1;
+    while(i < j){
+        if(storage[i] + storage[j] == target)
+            return true;
+        else if(storage[i] + storage[j] < target )
+            i++;
+        else
+            j--;
+    }
+    return 0;
+}
\ No newline at end of file
diff --git a/Lecture071- BST 3/2-FlattenABst.cpp b/Lecture071- BST 3/2-FlattenABst.cpp
new file mode 100644
index 00000000..e69de29b
diff --git a/Lecture071- BST 3/3-NormalToBalanced.cpp b/Lecture071- BST 3/3-NormalToBalanced.cpp
new file mode 100644
index 00000000..e69de29b
diff --git a/Lecture071- BST 3/4-BSTfromPreorder.cpp b/Lecture071- BST 3/4-BSTfromPreorder.cpp
new file mode 100644
index 00000000..b759efe9
--- /dev/null
+++ b/Lecture071- BST 3/4-BSTfromPreorder.cpp	
@@ -0,0 +1,48 @@
+#include <bits/stdc++.h> 
+using namespace std;
+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;
+            }
+        }
+    };
+
+
+BinaryTreeNode<int>* solve(vector<int> &pre,int mini, int maxi, int &i){
+        // cout << 1 ;
+    if(i >= pre.size()){
+        return NULL;
+    }
+    if(pre[i] > maxi || pre[i] < mini)
+        return NULL;
+
+
+        BinaryTreeNode<int>* root = new BinaryTreeNode<int>(pre[i++]);
+        root -> left = solve(pre,mini,root -> data,i);
+        root -> right = solve(pre,root -> data,maxi,i);
+        return root;
+ 
+}
+
+BinaryTreeNode<int>* preorderToBST(vector<int> &preorder) {
+
+    int maxi = INT_MAX, mini = INT_MIN,i=0;
+    return solve(preorder,mini,maxi,i);
+}
\ No newline at end of file