在Python中实现树的遍历可以通过递归或迭代的方法来完成。树的遍历主要有三种方式:前序遍历(Pre-order Traversal)、中序遍历(In-order Traversal)和后序遍历(Post-order Traversal)。此外,还有层序遍历(Level-order Traversal),通常使用队列来实现。
以下是一个简单的二叉树节点类和各种遍历方法的实现:
class TreeNode:
def __init__(self, value=0, left=None, right=None):
self.value = value
self.left = left
self.right = right
前序遍历的顺序是:根节点 -> 左子树 -> 右子树
def pre_order_traversal(root):
if root:
print(root.value, end=' ')
pre_order_traversal(root.left)
pre_order_traversal(root.right)
def pre_order_traversal_iterative(root):
if not root:
return
stack = [root]
while stack:
node = stack.pop()
print(node.value, end=' ')
if node.right:
stack.append(node.right)
if node.left:
stack.append(node.left)
中序遍历的顺序是:左子树 -> 根节点 -> 右子树
def in_order_traversal(root):
if root:
in_order_traversal(root.left)
print(root.value, end=' ')
in_order_traversal(root.right)
def in_order_traversal_iterative(root):
stack = []
current = root
while stack or current:
while current:
stack.append(current)
current = current.left
current = stack.pop()
print(current.value, end=' ')
current = current.right
后序遍历的顺序是:左子树 -> 右子树 -> 根节点
def post_order_traversal(root):
if root:
post_order_traversal(root.left)
post_order_traversal(root.right)
print(root.value, end=' ')
def post_order_traversal_iterative(root):
if not root:
return
stack1 = [root]
stack2 = []
while stack1:
node = stack1.pop()
stack2.append(node)
if node.left:
stack1.append(node.left)
if node.right:
stack1.append(node.right)
while stack2:
node = stack2.pop()
print(node.value, end=' ')
层序遍历的顺序是按层级顺序从上到下,从左到右。
from collections import deque
def level_order_traversal(root):
if not root:
return
queue = deque([root])
while queue:
node = queue.popleft()
print(node.value, end=' ')
if node.left:
queue.append(node.left)
if node.right:
queue.append(node.right)
以下是一个示例,展示如何创建一个二叉树并进行各种遍历:
if __name__ == "__main__":
# 创建一个示例二叉树
# 1
# / \
# 2 3
# / \ \
# 4 5 6
root = TreeNode(1)
root.left = TreeNode(2)
root.right = TreeNode(3)
root.left.left = TreeNode(4)
root.left.right = TreeNode(5)
root.right.right = TreeNode(6)
print("Pre-order Traversal (Recursive):")
pre_order_traversal(root)
print("\nPre-order Traversal (Iterative):")
pre_order_traversal_iterative(root)
print("\nIn-order Traversal (Recursive):")
in_order_traversal(root)
print("\nIn-order Traversal (Iterative):")
in_order_traversal_iterative(root)
print("\nPost-order Traversal (Recursive):")
post_order_traversal(root)
print("\nPost-order Traversal (Iterative):")
post_order_traversal_iterative(root)
print("\nLevel-order Traversal:")
level_order_traversal(root)
运行上述代码将输出:
Pre-order Traversal (Recursive):
1 2 4 5 3 6
Pre-order Traversal (Iterative):
1 2 4 5 3 6
In-order Traversal (Recursive):
4 2 5 1 3 6
In-order Traversal (Iterative):
4 2 5 1 3 6
Post-order Traversal (Recursive):
4 5 2 6 3 1
Post-order Traversal (Iterative):
4 5 2 6 3 1
Level-order Traversal:
1 2 3 4 5 6
这些方法展示了如何在Python中实现树的各种遍历方式。
云+社区沙龙online [技术应变力]
DB・洞见
云+社区沙龙online [国产数据库]
算力即生产力系列直播
Techo Youth2022学年高校公开课
实战低代码公开课直播专栏
微搭低代码直播互动专栏
领取专属 10元无门槛券
手把手带您无忧上云