LC 700 Search in a Binary Search Tree {using Recursion}

Alen Alex · January 27, 2024

LeetCode Link: LC 700 Search in a Binary Search Tree {using Recursion}
Language: C#
Note: This is the same problem from here, but implemented using Recursion.

Problem Statement

You are given the root of a binary search tree (BST) and an integer val.

Find the node in the BST that the node’s value equals val and return the subtree rooted with that node. If such a node does not exist, return null.

Examples

Example 1:

Image1

Input: root = [4,2,7,1,3], val = 2
Output: [2,1,3]

Example 2:

Image2

Input: root = [4,2,7,1,3], val = 5
Output: []

Constraints

  • The number of nodes in the tree is in the range [1, 5000].
  • 1 <= Node.val <= 107
  • root is a binary search tree.
  • 1 <= val <= 107

Solution

/**
 * Definition for a binary tree node.
 * public class TreeNode {
 *     public int val;
 *     public TreeNode left;
 *     public TreeNode right;
 *     public TreeNode(int val=0, TreeNode left=null, TreeNode right=null) {
 *         this.val = val;
 *         this.left = left;
 *         this.right = right;
 *     }
 * }
 */
public class Solution 
{
    public TreeNode SearchBST(TreeNode root, int val) 
    {        
        if (root is null || root.val == val)
        {
            return root;
        }

        if (val < root.val)
        {
            return SearchBST(root.left, val);
        }
        else
        {
            return SearchBST(root.right, val);
        }       
    }
}

Complexity

Time Complexity: O(N)
Space Complexity: O(1)

Twitter, Facebook