Increasing Order Search Tree

Posted by Bill on March 11, 2023

Increasing Order Search Tree

Given the root of a binary search tree, rearrange the tree in in-order so that the leftmost node in the tree is now the root of the tree, and every node has no left child and only one right child.

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Example 1:
Input: root = [5,3,6,2,4,null,8,1,null,null,null,7,9]
Output: [1,null,2,null,3,null,4,null,5,null,6,null,7,null,8,null,9]

Example 2:
Input: root = [5,1,7]
Output: [1,null,5,null,7]

Java Solution

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/**
 * Definition for a binary tree node.
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode(int x) { val = x; }
 * }
 */
class Solution {

    public TreeNode increasingBST(TreeNode root) {
        return increasingBST(root, null);
    }

    public TreeNode increasingBST(TreeNode root, TreeNode tail) {
        if (root == null) return tail;
        TreeNode res = increasingBST(root.left, root);
        root.left = null;
        root.right = increasingBST(root.right, tail);
        return res;
    }
}