669. Trim a Binary Search Tree
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.
這題首先要先瞭解所謂的二元搜尋樹,
二元搜尋樹有以下特點
- 左子樹所有節點的鍵值小於根節點的鍵值
- 右子樹所有節點的鍵值大於根節點的鍵值
- 左右子樹也都是二元搜尋樹
- 節點不會有重複值
所以若目前節點的鍵值小於 L 值,則該節點的左子樹也都會小於 L 值
同理,若目前節點的鍵值大於 R 值,則該節點的右子樹也都會大於 R 值
class Solution {
public TreeNode trimBST(TreeNode root, int L, int R) {
if(root == null) return null;
if(root.val < L) return trimBST(root.right, L, R);
if(root.val > R) return trimBST(root.left, L, R);
root.left = trimBST(root.left, L, R);
root.right = trimBST(root.right, L, R);
return root;
}
}