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Algorithm

783. Minimum Distance Between BST Nodes

Description

Given a Binary Search Tree (BST) with the root node root, return the minimum difference between the values of any two different nodes in the tree.

Example :

Input: root = [4,2,6,1,3,null,null]
Output: 1
Explanation:
Note that root is a TreeNode object, not an array.

The given tree [4,2,6,1,3,null,null] is represented by the following diagram:

          4
        /   \
      2      6
     / \    
    1   3  

while the minimum difference in this tree is 1, it occurs between node 1 and node 2, also between node 3 and node 2.

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 {
    public int minDiffInBST(TreeNode root) {
        if(root==null||(root.left==null&&root.right==null)){
            return 0;
        }
        ArrayList<Integer> ans = new ArrayList<>();
        inorderTraversal(root, ans);

        int minDiff = Integer.MAX_VALUE;
        for(int i=0;i<ans.size()-1;i++){
            int diff = ans.get(i+1) - ans.get(i);
            if(diff<minDiff){
                minDiff = diff;
            }
        }
        return minDiff;
    }

    public void inorderTraversal(TreeNode root, ArrayList<Integer> ans){
        if(root == null){
            return;
        }
        inorderTraversal(root.left, ans);
        ans.add(root.val);
        inorderTraversal(root.right, ans);
    }
}

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深度优先遍历,保存节点的值

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