AVL树是一种自平衡二叉搜索树,它的特点是每个节点的左子树和右子树的高度最多相差1。在预订单遍历中打印AVL树条目的步骤如下:
AVL树的预订单遍历可以使用递归或迭代的方式实现。以下是一个使用递归方式的示例代码:
class AVLNode:
def __init__(self, key, value):
self.key = key
self.value = value
self.left = None
self.right = None
self.height = 1
class AVLTree:
def __init__(self):
self.root = None
def insert(self, key, value):
self.root = self._insert(self.root, key, value)
def _insert(self, node, key, value):
if node is None:
return AVLNode(key, value)
if key < node.key:
node.left = self._insert(node.left, key, value)
else:
node.right = self._insert(node.right, key, value)
node.height = 1 + max(self._get_height(node.left), self._get_height(node.right))
balance = self._get_balance(node)
if balance > 1:
if key < node.left.key:
return self._rotate_right(node)
else:
node.left = self._rotate_left(node.left)
return self._rotate_right(node)
if balance < -1:
if key > node.right.key:
return self._rotate_left(node)
else:
node.right = self._rotate_right(node.right)
return self._rotate_left(node)
return node
def _get_height(self, node):
if node is None:
return 0
return node.height
def _get_balance(self, node):
if node is None:
return 0
return self._get_height(node.left) - self._get_height(node.right)
def _rotate_left(self, z):
y = z.right
T2 = y.left
y.left = z
z.right = T2
z.height = 1 + max(self._get_height(z.left), self._get_height(z.right))
y.height = 1 + max(self._get_height(y.left), self._get_height(y.right))
return y
def _rotate_right(self, z):
y = z.left
T3 = y.right
y.right = z
z.left = T3
z.height = 1 + max(self._get_height(z.left), self._get_height(z.right))
y.height = 1 + max(self._get_height(y.left), self._get_height(y.right))
return y
def print_inorder(self):
self._print_inorder(self.root)
def _print_inorder(self, node):
if node:
self._print_inorder(node.left)
print("Key:", node.key, "Value:", node.value)
self._print_inorder(node.right)
# 创建AVL树并插入数据
tree = AVLTree()
tree.insert(5, "Value 5")
tree.insert(3, "Value 3")
tree.insert(7, "Value 7")
tree.insert(2, "Value 2")
tree.insert(4, "Value 4")
tree.insert(6, "Value 6")
tree.insert(8, "Value 8")
# 预订单遍历并打印AVL树条目
tree.print_inorder()
这段代码创建了一个AVL树,并插入了一些数据项。然后使用中序遍历的方式打印了AVL树的条目。你可以根据实际需求修改代码,适配你的数据结构和打印方式。
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