Given a binary search tree with non-negative values, find the minimum absolute difference between values of any two nodes.
Example:
Input: 1 \ 3 / 2
Output:1
Explanation:The minimum absolute difference is 1, which is the difference between 2 and 1 (or between 2 and 3).
Note: There are at least two nodes in this BST.
My solution:
// didn't make use of the characteristics of BST. Anyway, it got accepted.
/**
* Definition for a binary tree node.
* public class TreeNode {
* int val;
* TreeNode left;
* TreeNode right;
* TreeNode(int x) { val = x; }
* }
*/
public class Solution {
public int getMinimumDifference(TreeNode root) {
ArrayList<Integer> list = new ArrayList<Integer>();
add(list,root);
Collections.sort(list);
ArrayList<Integer> list2 = new ArrayList<Integer>();
for(int i = 0; i < list.size() - 1; i++) {
int distance = list.get(i + 1) - list.get(i);
list2.add(distance);
}
Collections.sort(list2);
return list2.get(0);
}
public void add(ArrayList<Integer> list, TreeNode root){
if(root == null) return;
list.add(root.val);
add(list, root.left);
add(list, root.right);
}
}
Solution from Leetcode:
Since this is a BST, the inorder traversal of its nodes results in a sorted list of values. Thus, the minimum absolute difference must occur in any adjacently traversed nodes. I use the global variable "prev" to keep track of each node's inorder predecessor.
public class Solution {
int minDiff = Integer.MAX_VALUE;
TreeNode prev;
public int getMinimumDifference(TreeNode root) {
inorder(root);
return minDiff;
}
public void inorder(TreeNode root) {
if (root == null) return;
inorder(root.left);
if (prev != null) minDiff = Math.min(minDiff, root.val - prev.val);
prev = root;
inorder(root.right);
}
}