Thursday, July 30, 2020

669. Trim a Binary Search Tree -----(Medium)

Given the root of a binary search tree and the lowest and highest boundaries as low and high, trim the tree so that all its elements lies in [low, high]. Trimming the tree should not change the relative structure of the elements that will remain in the tree (i.e., any node's descendant should remain a descendant). It can be proven that there is a unique answer.

Return the root of the trimmed binary search tree. Note that the root may change depending on the given bounds.

 

Example 1:

Input: root = [1,0,2], low = 1, high = 2
Output: [1,null,2]

Example 2:

Input: root = [3,0,4,null,2,null,null,1], low = 1, high = 3
Output: [3,2,null,1]

 

Constraints:

  • The number of nodes in the tree is in the range [1, 104].
  • 0 <= Node.val <= 104
  • The value of each node in the tree is unique.
  • root is guaranteed to be a valid binary search tree.
  • 0 <= low <= high <= 104
A:

递归啊,没别的方法
/**
* Definition for a binary tree node.
* struct TreeNode {
* int val;
* TreeNode *left;
* TreeNode *right;
* TreeNode() : val(0), left(nullptr), right(nullptr) {}
* TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}
* TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {}
* };
*/
class Solution {
public:
TreeNode* trimBST(TreeNode* root, int low, int high) {
return helper(root, low, high);
}
private:
TreeNode* helper(TreeNode* root, int low, int high ){
if(!root)
return root;
if(root->val < low){
return helper(root->right, low, high);
}else if(root->val > high){
return helper(root->left, low, high);
}else{ // root->val is in range, we then need delete both child-tree
root->left = helper(root->left, low, high);
root->right = helper(root->right, low, high);
return root;
}
}
};

上面的代码,很快就过了。但是有 memory leak。 真正的工作代码中,应该加上delete()
/**
* Definition for a binary tree node.
* struct TreeNode {
* int val;
* TreeNode *left;
* TreeNode *right;
* TreeNode() : val(0), left(nullptr), right(nullptr) {}
* TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}
* TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {}
* };
*/
class Solution {
public:
TreeNode* trimBST(TreeNode* root, int low, int high) {
return helper(root, low, high);
}
private:
TreeNode* helper(TreeNode* root, int low, int high ){
if(!root)
return root;
if(root->val < low){
auto res = helper(root->right, low, high);
deleteTree(root->left);
delete(root);
return res;
}else if(root->val > high){
auto res = helper(root->left, low, high);
deleteTree(root->right);
delete(root);
return res;
}else{ // root->val is in range, we then need delete both child-tree
root->left = helper(root->left, low, high);
root->right = helper(root->right, low, high);
return root;
}
}
void deleteTree(TreeNode* root){
if(!root)
return;
deleteTree(root->left);
deleteTree(root->right);
delete(root);
}
};

但是上面的代码,在LC中,有error,显示: 判题器可能还在用root指针。
从error message 来看,leetcode会帮忙删除这些内存。
因此面试的时候,可以说。但是不需要写了

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