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Description

Given the root of a binary search tree and a node p in it, return the in-order successor of that node in the BST. If the given node has no in-order successor in the tree, return null.

The successor of a node p is the node with the smallest key greater than p.val.

 

Example 1:

Input: root = [2,1,3], p = 1
Output: 2
Explanation: 1's in-order successor node is 2. Note that both p and the return value is of TreeNode type.

Example 2:

Input: root = [5,3,6,2,4,null,null,1], p = 6
Output: null
Explanation: There is no in-order successor of the current node, so the answer is null.

 

Constraints:

  • The number of nodes in the tree is in the range [1, 104].
  • -105 <= Node.val <= 105
  • All Nodes will have unique values.

Solutions

Python3

Java

JavaScript

/**
 * Definition for a binary tree node.
 * function TreeNode(val) {
 *     this.val = val;
 *     this.left = this.right = null;
 * }
 */
/**
 * @param {TreeNode} root
 * @param {TreeNode} p
 * @return {TreeNode}
 */
var inorderSuccessor = function (root, p) {
    function findMin(root) {
        if (!root) {
            return null;
        }
        while (root.left) {
            root = root.left;
        }
        return root;
    }
    if (!root) {
        return null;
    }
    let successor = null;
    while (root) {
        if (root.val > p.val) {
            successor = root;
            root = root.left;
        } else if (root.val < p.val) {
            root = root.right;
        } else {
            if (root.right) {
                successor = findMin(root.right);
            }
            break;
        }
    }
    return successor;
};

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