Fine tune
This commit is contained in:
parent
c4d32621c3
commit
dbb25003ec
@ -16,7 +16,6 @@ class AVLTree:
|
|||||||
self.root = root
|
self.root = root
|
||||||
|
|
||||||
""" 获取结点高度 """
|
""" 获取结点高度 """
|
||||||
|
|
||||||
def height(self, node: typing.Optional[TreeNode]) -> int:
|
def height(self, node: typing.Optional[TreeNode]) -> int:
|
||||||
# 空结点高度为 -1 ,叶结点高度为 0
|
# 空结点高度为 -1 ,叶结点高度为 0
|
||||||
if node is not None:
|
if node is not None:
|
||||||
@ -24,13 +23,11 @@ class AVLTree:
|
|||||||
return -1
|
return -1
|
||||||
|
|
||||||
""" 更新结点高度 """
|
""" 更新结点高度 """
|
||||||
|
|
||||||
def __update_height(self, node: TreeNode):
|
def __update_height(self, node: TreeNode):
|
||||||
# 结点高度等于最高子树高度 + 1
|
# 结点高度等于最高子树高度 + 1
|
||||||
node.height = max([self.height(node.left), self.height(node.right)]) + 1
|
node.height = max([self.height(node.left), self.height(node.right)]) + 1
|
||||||
|
|
||||||
""" 获取平衡因子 """
|
""" 获取平衡因子 """
|
||||||
|
|
||||||
def balance_factor(self, node: TreeNode) -> int:
|
def balance_factor(self, node: TreeNode) -> int:
|
||||||
# 空结点平衡因子为 0
|
# 空结点平衡因子为 0
|
||||||
if node is None:
|
if node is None:
|
||||||
@ -39,7 +36,6 @@ class AVLTree:
|
|||||||
return self.height(node.left) - self.height(node.right)
|
return self.height(node.left) - self.height(node.right)
|
||||||
|
|
||||||
""" 右旋操作 """
|
""" 右旋操作 """
|
||||||
|
|
||||||
def __right_rotate(self, node: TreeNode) -> TreeNode:
|
def __right_rotate(self, node: TreeNode) -> TreeNode:
|
||||||
child = node.left
|
child = node.left
|
||||||
grand_child = child.right
|
grand_child = child.right
|
||||||
@ -53,7 +49,6 @@ class AVLTree:
|
|||||||
return child
|
return child
|
||||||
|
|
||||||
""" 左旋操作 """
|
""" 左旋操作 """
|
||||||
|
|
||||||
def __left_rotate(self, node: TreeNode) -> TreeNode:
|
def __left_rotate(self, node: TreeNode) -> TreeNode:
|
||||||
child = node.right
|
child = node.right
|
||||||
grand_child = child.left
|
grand_child = child.left
|
||||||
@ -67,7 +62,6 @@ class AVLTree:
|
|||||||
return child
|
return child
|
||||||
|
|
||||||
""" 执行旋转操作,使该子树重新恢复平衡 """
|
""" 执行旋转操作,使该子树重新恢复平衡 """
|
||||||
|
|
||||||
def __rotate(self, node: TreeNode) -> TreeNode:
|
def __rotate(self, node: TreeNode) -> TreeNode:
|
||||||
# 获取结点 node 的平衡因子
|
# 获取结点 node 的平衡因子
|
||||||
balance_factor = self.balance_factor(node)
|
balance_factor = self.balance_factor(node)
|
||||||
@ -93,13 +87,11 @@ class AVLTree:
|
|||||||
return node
|
return node
|
||||||
|
|
||||||
""" 插入结点 """
|
""" 插入结点 """
|
||||||
|
|
||||||
def insert(self, val) -> TreeNode:
|
def insert(self, val) -> TreeNode:
|
||||||
self.root = self.__insert_helper(self.root, val)
|
self.root = self.__insert_helper(self.root, val)
|
||||||
return self.root
|
return self.root
|
||||||
|
|
||||||
""" 递归插入结点(辅助函数)"""
|
""" 递归插入结点(辅助函数)"""
|
||||||
|
|
||||||
def __insert_helper(self, node: typing.Optional[TreeNode], val: int) -> TreeNode:
|
def __insert_helper(self, node: typing.Optional[TreeNode], val: int) -> TreeNode:
|
||||||
if node is None:
|
if node is None:
|
||||||
return TreeNode(val)
|
return TreeNode(val)
|
||||||
@ -117,13 +109,11 @@ class AVLTree:
|
|||||||
return self.__rotate(node)
|
return self.__rotate(node)
|
||||||
|
|
||||||
""" 删除结点 """
|
""" 删除结点 """
|
||||||
|
|
||||||
def remove(self, val: int):
|
def remove(self, val: int):
|
||||||
root = self.__remove_helper(self.root, val)
|
root = self.__remove_helper(self.root, val)
|
||||||
return root
|
return root
|
||||||
|
|
||||||
""" 递归删除结点(辅助函数) """
|
""" 递归删除结点(辅助函数) """
|
||||||
|
|
||||||
def __remove_helper(self, node: typing.Optional[TreeNode], val: int) -> typing.Optional[TreeNode]:
|
def __remove_helper(self, node: typing.Optional[TreeNode], val: int) -> typing.Optional[TreeNode]:
|
||||||
if node is None:
|
if node is None:
|
||||||
return None
|
return None
|
||||||
@ -142,7 +132,7 @@ class AVLTree:
|
|||||||
else:
|
else:
|
||||||
node = child
|
node = child
|
||||||
else: # 子结点数量 = 2 ,则将中序遍历的下个结点删除,并用该结点替换当前结点
|
else: # 子结点数量 = 2 ,则将中序遍历的下个结点删除,并用该结点替换当前结点
|
||||||
temp = self.min_node(node.right)
|
temp = self.__min_node(node.right)
|
||||||
node.right = self.__remove_helper(node.right, temp.val)
|
node.right = self.__remove_helper(node.right, temp.val)
|
||||||
node.val = temp.val
|
node.val = temp.val
|
||||||
# 更新结点高度
|
# 更新结点高度
|
||||||
@ -151,8 +141,7 @@ class AVLTree:
|
|||||||
return self.__rotate(node)
|
return self.__rotate(node)
|
||||||
|
|
||||||
""" 获取最小结点 """
|
""" 获取最小结点 """
|
||||||
|
def __min_node(self, node: typing.Optional[TreeNode]) -> typing.Optional[TreeNode]:
|
||||||
def min_node(self, node: typing.Optional[TreeNode]) -> typing.Optional[TreeNode]:
|
|
||||||
if node is None:
|
if node is None:
|
||||||
return None
|
return None
|
||||||
# 循环访问左子结点,直到叶结点时为最小结点,跳出
|
# 循环访问左子结点,直到叶结点时为最小结点,跳出
|
||||||
@ -161,7 +150,6 @@ class AVLTree:
|
|||||||
return node
|
return node
|
||||||
|
|
||||||
""" 查找结点 """
|
""" 查找结点 """
|
||||||
|
|
||||||
def search(self, val: int):
|
def search(self, val: int):
|
||||||
cur = self.root
|
cur = self.root
|
||||||
# 循环查找,越过叶结点后跳出
|
# 循环查找,越过叶结点后跳出
|
||||||
@ -179,8 +167,8 @@ class AVLTree:
|
|||||||
return cur
|
return cur
|
||||||
|
|
||||||
|
|
||||||
|
""" Driver Code """
|
||||||
if __name__ == "__main__":
|
if __name__ == "__main__":
|
||||||
|
|
||||||
def test_insert(tree: AVLTree, val: int):
|
def test_insert(tree: AVLTree, val: int):
|
||||||
tree.insert(val)
|
tree.insert(val)
|
||||||
print("\n插入结点 {} 后,AVL 树为".format(val))
|
print("\n插入结点 {} 后,AVL 树为".format(val))
|
||||||
|
@ -12,15 +12,12 @@ from include import *
|
|||||||
|
|
||||||
|
|
||||||
""" 二叉搜索树 """
|
""" 二叉搜索树 """
|
||||||
|
|
||||||
|
|
||||||
class BinarySearchTree:
|
class BinarySearchTree:
|
||||||
def __init__(self, nums: typing.List[int]) -> None:
|
def __init__(self, nums: typing.List[int]) -> None:
|
||||||
nums.sort()
|
nums.sort()
|
||||||
self.__root = self.build_tree(nums, 0, len(nums) - 1)
|
self.__root = self.build_tree(nums, 0, len(nums) - 1)
|
||||||
|
|
||||||
""" 构建二叉搜索树 """
|
""" 构建二叉搜索树 """
|
||||||
|
|
||||||
def build_tree(self, nums: typing.List[int], start_index: int, end_index: int) -> typing.Optional[TreeNode]:
|
def build_tree(self, nums: typing.List[int], start_index: int, end_index: int) -> typing.Optional[TreeNode]:
|
||||||
if start_index > end_index:
|
if start_index > end_index:
|
||||||
return None
|
return None
|
||||||
@ -38,7 +35,6 @@ class BinarySearchTree:
|
|||||||
return self.__root
|
return self.__root
|
||||||
|
|
||||||
""" 查找结点 """
|
""" 查找结点 """
|
||||||
|
|
||||||
def search(self, num: int) -> typing.Optional[TreeNode]:
|
def search(self, num: int) -> typing.Optional[TreeNode]:
|
||||||
cur = self.root
|
cur = self.root
|
||||||
# 循环查找,越过叶结点后跳出
|
# 循环查找,越过叶结点后跳出
|
||||||
@ -55,7 +51,6 @@ class BinarySearchTree:
|
|||||||
return cur
|
return cur
|
||||||
|
|
||||||
""" 插入结点 """
|
""" 插入结点 """
|
||||||
|
|
||||||
def insert(self, num: int) -> typing.Optional[TreeNode]:
|
def insert(self, num: int) -> typing.Optional[TreeNode]:
|
||||||
root = self.root
|
root = self.root
|
||||||
# 若树为空,直接提前返回
|
# 若树为空,直接提前返回
|
||||||
@ -86,7 +81,6 @@ class BinarySearchTree:
|
|||||||
return node
|
return node
|
||||||
|
|
||||||
""" 删除结点 """
|
""" 删除结点 """
|
||||||
|
|
||||||
def remove(self, num: int) -> typing.Optional[TreeNode]:
|
def remove(self, num: int) -> typing.Optional[TreeNode]:
|
||||||
root = self.root
|
root = self.root
|
||||||
# 若树为空,直接提前返回
|
# 若树为空,直接提前返回
|
||||||
@ -132,7 +126,6 @@ class BinarySearchTree:
|
|||||||
return cur
|
return cur
|
||||||
|
|
||||||
""" 获取最小结点 """
|
""" 获取最小结点 """
|
||||||
|
|
||||||
def min(self, root: typing.Optional[TreeNode]) -> typing.Optional[TreeNode]:
|
def min(self, root: typing.Optional[TreeNode]) -> typing.Optional[TreeNode]:
|
||||||
if root is None:
|
if root is None:
|
||||||
return root
|
return root
|
||||||
@ -143,6 +136,7 @@ class BinarySearchTree:
|
|||||||
return root
|
return root
|
||||||
|
|
||||||
|
|
||||||
|
""" Driver Code """
|
||||||
if __name__ == "__main__":
|
if __name__ == "__main__":
|
||||||
# 初始化二叉搜索树
|
# 初始化二叉搜索树
|
||||||
nums = list(range(1, 16))
|
nums = list(range(1, 16))
|
||||||
|
@ -23,6 +23,7 @@ if __name__ == "__main__":
|
|||||||
n1.right = n3
|
n1.right = n3
|
||||||
n2.left = n4
|
n2.left = n4
|
||||||
n2.right = n5
|
n2.right = n5
|
||||||
|
print("\n初始化二叉树\n")
|
||||||
print_tree(n1)
|
print_tree(n1)
|
||||||
|
|
||||||
# 插入与删除结点
|
# 插入与删除结点
|
||||||
@ -31,8 +32,10 @@ if __name__ == "__main__":
|
|||||||
# 在 n1 -> n2 中间插入节点 P
|
# 在 n1 -> n2 中间插入节点 P
|
||||||
n1.left = P
|
n1.left = P
|
||||||
P.left = n2
|
P.left = n2
|
||||||
|
print("\n插入结点 P 后\n")
|
||||||
print_tree(n1)
|
print_tree(n1)
|
||||||
|
|
||||||
# 删除结点
|
# 删除结点
|
||||||
n1.left = n2
|
n1.left = n2
|
||||||
|
print("\n删除结点 P 后\n");
|
||||||
print_tree(n1)
|
print_tree(n1)
|
||||||
|
@ -12,8 +12,6 @@ from include import *
|
|||||||
|
|
||||||
|
|
||||||
""" 层序遍历 """
|
""" 层序遍历 """
|
||||||
|
|
||||||
|
|
||||||
def hier_order(root: TreeNode):
|
def hier_order(root: TreeNode):
|
||||||
# 初始化队列,加入根结点
|
# 初始化队列,加入根结点
|
||||||
queue: typing.Deque[TreeNode] = collections.deque()
|
queue: typing.Deque[TreeNode] = collections.deque()
|
||||||
|
@ -15,8 +15,6 @@ result = []
|
|||||||
|
|
||||||
|
|
||||||
""" 前序遍历二叉树 """
|
""" 前序遍历二叉树 """
|
||||||
|
|
||||||
|
|
||||||
def pre_order(root: typing.Optional[TreeNode]):
|
def pre_order(root: typing.Optional[TreeNode]):
|
||||||
if root is None:
|
if root is None:
|
||||||
return
|
return
|
||||||
@ -28,8 +26,6 @@ def pre_order(root: typing.Optional[TreeNode]):
|
|||||||
|
|
||||||
|
|
||||||
""" 中序遍历二叉树 """
|
""" 中序遍历二叉树 """
|
||||||
|
|
||||||
|
|
||||||
def in_order(root: typing.Optional[TreeNode]):
|
def in_order(root: typing.Optional[TreeNode]):
|
||||||
if root is None:
|
if root is None:
|
||||||
return
|
return
|
||||||
@ -41,8 +37,6 @@ def in_order(root: typing.Optional[TreeNode]):
|
|||||||
|
|
||||||
|
|
||||||
""" 后序遍历二叉树 """
|
""" 后序遍历二叉树 """
|
||||||
|
|
||||||
|
|
||||||
def post_order(root: typing.Optional[TreeNode]):
|
def post_order(root: typing.Optional[TreeNode]):
|
||||||
if root is None:
|
if root is None:
|
||||||
return
|
return
|
||||||
|
Loading…
x
Reference in New Issue
Block a user