LeetCode - 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. 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
正确方法其实应该是在遍历的过程中就修改二叉树,移除不合题意的结点。当然对于二叉树的题,十有八九都是要用递归来解的。首先判断如果root为空,那么直接返回空即可。然后就是要看根结点是否在范围内,如果根结点值小于L,那么返回对其右子结点调用递归函数的值;如果根结点大于R,那么返回对其左子结点调用递归函数的值。如果根结点在范围内,将其左子结点更新为对其左子结点调用递归函数的返回值,同样,将其右子结点更新为对其右子结点调用递归函数的返回值。最后返回root即可,参见代码如下:
/**
* Definition for a binary tree node.
* public class TreeNode {
* int val;
* TreeNode left;
* TreeNode right;
* TreeNode(int x) { val = x; }
* }
*/
class Solution {
public TreeNode trimBST(TreeNode root, int L, int R) {
if(root == null){
return null;
}
if(root.val > R){
return trimBST(root.left, L, R);
}
else if(root.val < L){
return trimBST(root.right, L, R);
}
root.left = trimBST(root.left, L, R);
root.right = trimBST(root.right, L, R);
return root; }
}
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