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Algorithm

530. Minimum Absolute Difference in BST

Description

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:

Solution

/**
 * Definition for a binary tree node.
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode() {}
 *     TreeNode(int val) { this.val = val; }
 *     TreeNode(int val, TreeNode left, TreeNode right) {
 *         this.val = val;
 *         this.left = left;
 *         this.right = right;
 *     }
 * }
 */
class Solution {
    TreeNode prev = null;
    int minDiff = Integer.MAX_VALUE;
    public int getMinimumDifference(TreeNode root) {
        if(root == null || (root.left == null && root.right == null)) {
            return 0;
        }
        helper(root);
        return minDiff;
    }

    private void helper(TreeNode root) {
      if(root != null) {
          helper(root.left);

          if(prev != null) {
              minDiff = Math.min(minDiff, Math.abs(prev.val - root.val));
          }
          prev = root;

          helper(root.right);
      }
  }
}

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