285. Inorder Successor in BST


Given a binary search tree and a node in it, find the in-order successor of that node in the BST.

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.

 

Note:

  1. If the given node has no in-order successor in the tree, return null.
  2. It's guaranteed that the values of the tree are unique.
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Related problems
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/**
* Definition for a binary tree node.
* public class TreeNode {
* int val;
* TreeNode left;
* TreeNode right;
* TreeNode(int x) { val = x; }
* }
*/
public class Solution {
/*
* @param root: The root of the BST.
* @param p: You need find the successor node of p.
* @return: Successor of p.
*/
public TreeNode inorderSuccessor(TreeNode root, TreeNode p) {
TreeNode ans = null;
while (root != null) {
if (root.val > p.val) {
// Save potential ans, continue looking for better ans < root
ans = root;
root = root.left;
} else {
root = root.right;
}
}
return ans;
}
}
/**
* Definition for a binary tree node.
* public class TreeNode {
* int val;
* TreeNode left;
* TreeNode right;
* TreeNode(int x) { val = x; }
* }
*/
public class Solution {
/*
* @param root: The root of the BST.
* @param p: You need find the successor node of p.
* @return: Successor of p.
*/
public TreeNode inorderSuccessor(TreeNode root, TreeNode p) {
if (root == null) {
return null;
}
if (root.val > p.val) {
// Found possible ans, search for better one
TreeNode left = inorderSuccessor(root.left, p);
// If we find better ans, return that, else return currrent root
return left == null ? root : left;
} else {
// Invalid root <= p, search in higher half
return inorderSuccessor(root.right, p);
}
}
}