leetcode 783. Minimum Distance Between BST Nodes 以及同样的题目 530. Minimum Absolute Difference in BST

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:

1. The size of the BST will be between 2 and 100.
2. The BST is always valid, each node's value is an integer, and each node's value is different.

# Definition for a binary tree node.
# class TreeNode(object):
#     def __init__(self, x):
#         self.val = x
#         self.left = None
#         self.right = None

class Solution(object):
    def minDiffInBST(self, root):
        """
        :type root: TreeNode
        :rtype: int
        """
        # traverse node from min to max
        self.last_node = None
        self.min_diff = float('inf')
        
        def dfs(node):
            if not node: return
            dfs(node.left)            
            if self.last_node: 
                self.min_diff = min(self.min_diff, node.val-self.last_node.val)                  
            self.last_node = node
            dfs(node.right)
            
        dfs(root)
        return self.min_diff

 

# Definition for a binary tree node.
# class TreeNode(object):
#     def __init__(self, x):
#         self.val = x
#         self.left = None
#         self.right = None

class Solution(object):
    def minDiffInBST(self, root):
        """
        :type root: TreeNode
        :rtype: int
        """
        # traverse node from min to max
        last_node = None
        ans = float("inf")
        node = root
        stack = []
        while node:
            stack.append(node)
            node = node.left
        while stack:
            node = stack.pop()
            if last_node:
                ans = min(ans, node.val-last_node.val)
            last_node = node
            node = node.right
            while node:
                stack.append(node)
                node = node.left
        return ans

 

Morris Traversal:

# Definition for a binary tree node.
# class TreeNode(object):
#     def __init__(self, x):
#         self.val = x
#         self.left = None
#         self.right = None

class Solution(object):
    def minDiffInBST(self, root):
        """
        :type root: TreeNode
        :rtype: int
        """
        # traverse node from min to max
        last_node = None
        ans = float("inf")
        
        cur = root
        while cur:
            if cur.left is None:
                if last_node:
                    ans = min(ans, cur.val-last_node.val)                    
                last_node = cur
                cur = cur.right
            else:
                tmp = cur.left
                while tmp.right and not (tmp.right is cur):
                    tmp = tmp.right
                if not tmp.right:
                    tmp.right = cur
                    cur = cur.left
                else:
                    tmp.right = None
                    if last_node:
                        ans = min(ans, cur.val-last_node.val)
                    last_node = cur
                    cur = cur.right
        return ans