完全二叉树的输出序列便利
时间: 2023-12-21 21:32:30 浏览: 26
完全二叉树的输出序列遍历有三种方式:前序遍历、中序遍历和后序遍历。下面是对完全二叉树进行这三种遍历的示例代码:
1. 前序遍历:
```python
class TreeNode:
def __init__(self, val=0, left=None, right=None):
self.val = val
self.left = left
self.right = right
def preorderTraversal(root):
if root is None:
return []
result = []
stack = [root]
while stack:
node = stack.pop()
result.append(node.val)
if node.right:
stack.append(node.right)
if node.left:
stack.append(node.left)
return result
# 创建一个完全二叉树
root = TreeNode(1)
root.left = TreeNode(2)
root.right = TreeNode(3)
root.left.left = TreeNode(4)
root.left.right = TreeNode(5)
root.right.left = TreeNode(6)
# 前序遍历输出序列
print(preorderTraversal(root)) # 输出:[1, 2, 4, 5, 3, 6]
```
2. 中序遍历:
```python
def inorderTraversal(root):
if root is None:
return []
result = []
stack = []
node = root
while stack or node:
while node:
stack.append(node)
node = node.left
node = stack.pop()
result.append(node.val)
node = node.right
return result
# 中序遍历输出序列
print(inorderTraversal(root)) # 输出:[4, 2, 5, 1, 6, 3]
```
3. 后序遍历:
```python
def postorderTraversal(root):
if root is None:
return []
result = []
stack = [root]
while stack:
node = stack.pop()
result.append(node.val)
if node.left:
stack.append(node.left)
if node.right:
stack.append(node.right)
return result[::-1]
# 后序遍历输出序列
print(postorderTraversal(root)) # 输出:[4, 5, 2, 6, 3, 1]
```