<filename>bst.py
# -*- encoding:utf-8 -*-
# @Author: jhan
# @FileName: bst.py
# @Date: 2022/1/7 16:04

class BiTreeNode:
    def __init__(self, data):
        self.data = data
        self.lchild = None
        self.rchild = None
        self.parent = None

class BST:
    def __init__(self, li=None):
        self.root = None
        if li:
            for val in li:
                self.insert_no_rec(val)

    def insert(self, node, val):
        if not node:               # 空树
            node = BiTreeNode(val)
        elif val < node.data:
            node.lchild = self.insert(node.lchild, val)
            node.lchild.parent = node
        elif val > node.data:
            node.rchild = self.insert(node.rchild, val)
            node.rchild.parent = node

        return node

    def insert_no_rec(self, val):
        p = self.root
        if not p:                   # 空树
            self.root = BiTreeNode(val)
            return
        while True:
            if val < p.data:
                if p.lchild:
                    p = p.lchild
                else:           # 左子树不存在
                    p.lchild = BiTreeNode(val)
                    p.lchild.parent = p
                    return
            elif val > p.data:
                if p.rchild:
                    p = p.rchild
                else:
                    p.rchild = BiTreeNode(val)
                    p.rchild.parent = p
                    return
            else:
                return

    def query(self, node, val):
        if not node:
            return None
        if node.data > val:
            return self.query(node.lchild, val)
        elif node.data < val:
            return self.query(node.rchild, val)
        else:
            return node

    def query_no_rec(self, val):
        p = self.root
        while p:
            if p.data < val:
                p = p.rchild
            elif p.data > val:
                p = p.lchild
            else:
                return p

        return None

    def __remove_node_1(self, node):
        # 情况1：node是叶子节点
        if not node.parent:
            self.root = None
        if node == node.parent.lchild:      # node 是左孩子
            node.parent.lchild = None
        else:
            node.parent.rchild = None

    def __remove_node_21(self, node):
        # 情况2：node只有一个左子节点
        if not node.parent:
            self.root = node.lchild
            node.lchild.parent = None
        elif node == node.parent.lchild:
            node.parent.lchild = node.lchild
            node.lchild.parent = node.parent
        else:
            node.parent.rchild = node.lchild
            node.lchild.parent = node.parent

    def __remove_node_22(self, node):
        # 情况3：node只有一个右子节点
        if not node.parent:
            self.root = node.rchild
            node.rchild.parent = None
        elif node == node.parent.lchild:
            node.parent.lchild = node.rchild
            node.rchild.parent = node.parent
        else:
            node.parent.rchild = node.rchild
            node.rchild.parent = node.parent


    def delete(self, val):
        if self.root:           # 不是空树
            node = self.query_no_rec(val)
            if not node:
                return False
            if not node.lchild and not node.rchild:
                self.__remove_node_1(node)
            elif not node.rchild:           # 只有一个左子节点
                self.__remove_node_21(node)
            elif not node.lchild:           # 只有一个右子节点
                self.__remove_node_22(node)
            else:                           # 左右两个子节点都有
                min_node = node.rchild
                while min_node.lchild:
                    min_node = min_node.lchild
                node.data = min_node.data
                # 删除 min_node
                if min_node.rchild:
                    self.__remove_node_22(min_node)
                else:
                    self.__remove_node_1(min_node)


    # 前序遍历
    def pre_order(self, root):
        if root:
            print(root.data, end=',')
            self.pre_order(root.lchild)
            self.pre_order(root.rchild)

    # 中序遍历
    def in_order(self, root):
        if root:
            self.in_order(root.lchild)
            print(root.data, end=',')
            self.in_order(root.rchild)

    # 后序遍历
    def post_order(self, root):
        if root:
            self.post_order(root.lchild)
            self.post_order(root.rchild)
            print(root.data, end=',')

import random

nums = [1, 4, 2, 5, 3, 8, 6, 9, 7]

tree = BST(nums)
tree.in_order(tree.root)
print('')
tree.delete(4)
tree.in_order(tree.root)