669. Trim a Binary Search Tree (Easy)

Posted 2020-10-06 Yancea --- TO BE A DOER !

Given a binary search tree and the lowest and highest boundaries as L and R, trim the tree so that all its elements lies in [L, R] (R >= L). You might need to change the root of the tree, so the result should return the new root of the trimmed binary search tree.

Example 1:

Input: 
    1
   /   0   2

  L = 1
  R = 2

Output: 
    1
             2

Example 2:

Input: 
    3
   /   0   4
       2
   /
  1

  L = 1
  R = 3

Output: 
      3
     / 
   2   
  /
 1

思路：递归（Recursion）
1.从根节点root开始，若当前节点值小于L，则砍掉左子树，保留右子树，对右子树进行剪枝；
2.若当前节点值大于R，则砍掉右子树，保留左子树，对左子树进行剪枝；
3.若当前节点值位于[L,R]之间，则递归，分别对左、右子树进行剪枝；

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

class Solution:
    def trimBST(self, root, L, R):
        """
        :type root: TreeNode
        :type L: int
        :type R: int
        :rtype: TreeNode
        """
        if not root:
            return None
        if root.val < L:
            return self.trimBST(root.right, L, R)
        if root.val > R:
            return self.trimBST(root.left, L, R)
        root.left = self.trimBST(root.left, L, R)
        root.right = self.trimBST(root.right, L, R)
        return root