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LeetCode-Closest Binary Search Tree Value II

Given a non-empty binary search tree and a target value, find k values in the BST that are closest to the target.

Note:

  • Given target value is a floating point.
  • You may assume k is always valid, that is: k ≤ total nodes.
  • You are guaranteed to have only one unique set of k values in the BST that are closest to the target.

Follow up:
Assume that the BST is balanced, could you solve it in less than O(n) runtime (where n = total nodes)?

Analysis:

Use inorder traverse, put all predecessors into a stack, for every successor, put all pres that has smaller gap than that successor into resList and then put this successor into resList.

Solution:

/** * Definition for a binary tree node. * public class TreeNode { *     int val; *     TreeNode left; *     TreeNode right; *     TreeNode(int x) { val = x; } * } */public class Solution {    public List<Integer> closestKValues(TreeNode root, double target, int k) {        Stack<Integer> pres = new Stack<Integer>();        LinkedList<Integer> resList = new LinkedList<Integer>();        closestKValuesRecur(root,target,k,pres,resList);        // If not enough in resList, put more pres into resList. This is because successor is too little.        while (resList.size()<k && !pres.empty()){                resList.addFirst(pres.pop());        }        return resList;            }    public void closestKValuesRecur(TreeNode curNode, double target, int k, Stack<Integer> pres, LinkedList<Integer> resList){        if (curNode == null) return;        if (resList.size()==k) return;        // inorder traverse.        closestKValuesRecur(curNode.left,target,k,pres,resList);        // check curNode        if (curNode.val >= target){            while (resList.size()<k && !pres.empty() && target-pres.peek() < curNode.val-target){                resList.addFirst(pres.pop());            }            if (resList.size()<k){                resList.addLast(curNode.val);            } else {                return;            }        } else {            pres.push(curNode.val);        }        closestKValuesRecur(curNode.right,target,k,pres,resList);    }}

 

LeetCode-Closest Binary Search Tree Value II