LeetCode – Inorder Successor in BST (Java)

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

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

Java Solution

The node does not have a pointer pointing to its parent. This is different from Inorder Successor in BST II.

public TreeNode inorderSuccessor(TreeNode root, TreeNode p) {
    if(root==null)
        return null;
 
    TreeNode next = null;
    TreeNode c = root;
    while(c!=null && c.val!=p.val){
        if(c.val > p.val){
            next = c;
            c = c.left;
        }else{
            c= c.right;
        }
    }
 
    if(c==null)        
        return null;
 
    if(c.right==null)
        return next;
 
    c = c.right;
    while(c.left!=null)
        c = c.left;
 
    return c;
}

When the tree is balanced, time complexity is O(log(n)) and space is O(1). The worst case time complexity is O(n).

Category >> Algorithms

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Subodh Karwa

The above program would be must easy to understand , if “next” Node is renamed with “parent”
Udaydeep Thota

Simple and easy to understand:

// Just do pre order traversal and while processing the node, if it is find node :
// case 1: if node has right link, go to the left most of the right link and return the data
// case 2: else pop the stack and return it (which means the next highest value of the node)
// Time complexity : O(n)
public static BinaryTreeNode findInOrderSuccessor(BinaryTreeNode root, BinaryTreeNode findNode) {

if(root==null || findNode==null)
return null;

Stack nodeStoreStack = new Stack();
BinaryTreeNode current = root;

while (!nodeStoreStack.isEmpty() || current!=null) {

if(current!=null) {
nodeStoreStack.add(current);
current=current.llink;
}

else {

BinaryTreeNode temp = nodeStoreStack.pop();
current=temp.rlink;

if(temp==findNode) {

if(temp.rlink!=null) {
BinaryTreeNode successor = temp.rlink;
while(successor.llink!=null) {

successor=successor.llink;
}
return successor;

}
else if(!nodeStoreStack.isEmpty()) {
return nodeStoreStack.pop();
}

}

}

}

return null;

}

LeetCode – Inorder Successor in BST (Java)

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