代码随想录算法训练营Day22 | 235. 二叉搜索树的最近公共祖先,701.二叉搜索树中的插入操作,450.删除二叉搜索树中的节点

235. 二叉搜索树的最近公共祖先

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C++解法

/**
 * Definition for a binary tree node.
 * struct TreeNode {
 *     int val;
 *     TreeNode *left;
 *     TreeNode *right;
 *     TreeNode(int x) : val(x), left(NULL), right(NULL) {}
 * };
 */

class Solution {
public:
    TreeNode* lowestCommonAncestor(TreeNode* root, TreeNode* p, TreeNode* q) {
        while (root != nullptr){
            if (root->val > p->val && root->val > q->val){
                root = root->left;
            } else if (root->val < p->val && root->val < q->val){
                root = root->right;
            } else {
                return root;
            }
        }
        return root;
    }
};

Python解法

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

class Solution:
    def lowestCommonAncestor(self, root: 'TreeNode', p: 'TreeNode', q: 'TreeNode') -> 'TreeNode':
        if root is None:
            return root

        while root:
            if root.val > p.val and root.val > q.val:
                root = root.left
            elif root.val < p.val and root.val < q.val:
                root = root.right
            else:
                return root

        return root

701.二叉搜索树中的插入操作

文章链接  |  题目链接  |  视频链接

C++解法

/**
 * 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* insertIntoBST(TreeNode* root, int val) {
        if (root == nullptr){
            TreeNode* new_node = new TreeNode(val);
            return new_node;
        }
        if (root->val < val){
            root->right = insertIntoBST(root->right, val);
        } else {
            root->left = insertIntoBST(root->left, val);
        }
        return root;
    }
};

Python解法

# Definition for a binary tree node.
# class TreeNode:
#     def __init__(self, val=0, left=None, right=None):
#         self.val = val
#         self.left = left
#         self.right = right
class Solution:
    def insertIntoBST(self, root: Optional[TreeNode], val: int) -> Optional[TreeNode]:
        if root is None:
            return TreeNode(val)
        if root.val < val:
            root.right = self.insertIntoBST(root.right, val)
        else:
            root.left = self.insertIntoBST(root.left, val)
        return root

450.删除二叉搜索树中的节点 

文章链接  |  题目链接  |  视频链接

代码随想录算法训练营Day22 | 235. 二叉搜索树的最近公共祖先,701.二叉搜索树中的插入操作,450.删除二叉搜索树中的节点_第1张图片

C++解法

/**
 * 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* deleteNode(TreeNode* root, int key) {
        if (root == nullptr){
            return root;
        }
        if (root->val == key){
            if (root->left == nullptr && root->right == nullptr){
                delete root;
                return nullptr;
            } else if (root->left && root->right == nullptr){
                auto returnNode = root->left;
                delete root;
                return returnNode;
            } else if (root->right && root->left == nullptr){
                auto returnNode = root->right;
                delete root;
                return returnNode;
            } else {
                TreeNode* curr = root->right;
                while (curr->left != nullptr){
                    curr = curr->left;
                }
                curr->left = root->left;
                auto returnNode = root->right;
                delete root;
                return returnNode;
            }
        } else if (root->val < key){
            root->right = deleteNode(root->right, key);
        } else {
            root->left = deleteNode(root->left, key);
        }
        return root;
    }
};

Python解法

# Definition for a binary tree node.
# class TreeNode:
#     def __init__(self, val=0, left=None, right=None):
#         self.val = val
#         self.left = left
#         self.right = right
class Solution:
    def deleteNode(self, root: Optional[TreeNode], key: int) -> Optional[TreeNode]:
        if root is None:
            return root
        if root.val == key:
            if root.left is None and root.right is None:
                return None
            elif root.left is None:
                return root.right
            elif root.right is None:
                return root.left
            else:
                curr = root.right
                while curr.left:
                    curr = curr.left
                curr.left = root.left
                return root.right

        elif root.val < key:
            root.right = self.deleteNode(root.right, key)
        else:
            root.left = self.deleteNode(root.left, key)
        
        return root

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