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Lowest Common Ancestor in a BST.java
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Lowest Common Ancestor in a BST.java
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//{ Driver Code Starts
//Initial Template for Java
import java.util.LinkedList;
import java.util.Queue;
import java.io.*;
import java.util.*;
class Node{
int data;
Node left;
Node right;
Node(int data){
this.data = data;
left=null;
right=null;
}
}
class GfG {
static Node buildTree(String str){
if(str.length()==0 || str.charAt(0)=='N'){
return null;
}
String ip[] = str.split(" ");
// Create the root of the tree
Node root = new Node(Integer.parseInt(ip[0]));
// Push the root to the queue
Queue<Node> queue = new LinkedList<>();
queue.add(root);
// Starting from the second element
int i = 1;
while(queue.size()>0 && i < ip.length) {
// Get and remove the front of the queue
Node currNode = queue.peek();
queue.remove();
// Get the current node's value from the string
String currVal = ip[i];
// If the left child is not null
if(!currVal.equals("N")) {
// Create the left child for the current node
currNode.left = new Node(Integer.parseInt(currVal));
// Push it to the queue
queue.add(currNode.left);
}
// For the right child
i++;
if(i >= ip.length)
break;
currVal = ip[i];
// If the right child is not null
if(!currVal.equals("N")) {
// Create the right child for the current node
currNode.right = new Node(Integer.parseInt(currVal));
// Push it to the queue
queue.add(currNode.right);
}
i++;
}
return root;
}
static void printInorder(Node root)
{
if(root == null)
return;
printInorder(root.left);
System.out.print(root.data+" ");
printInorder(root.right);
}
public static void main (String[] args) throws Exception{
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
int t=Integer.parseInt(br.readLine());
//Scanner sc = new Scanner(System.in);
while(t > 0){
String s = br.readLine();
Node root = buildTree(s);
BST g = new BST();
String X = br.readLine();
String arr[] = X.split(" ");
int x , y;
x = Integer.parseInt(arr[0]);
y = Integer.parseInt(arr[1]);
System.out.println(g.LCA(root,x,y).data);
t--;
}
}
}
// } Driver Code Ends
//User function Template for Java
class BST
{
//Function to find the lowest common ancestor in a BST.
Node LCA(Node root, int n1, int n2)
{
// code here.
if(root==null)
return null;
int curr=root.data;
if(curr < n1 && curr < n2)
return LCA(root.right,n1,n2);
if(curr > n1 && curr > n2)
return LCA(root.left,n1,n2);
return root;
}
}