# Binary Tree Node class
class TreeNode:
def __init__(self, value):
self.value = value
self.left = None
self.right = None
# Binary Tree class with basic features
class BinaryTree:
def __init__(self):
self.root = None
# Insert a new node into the binary tree
def insert(self, value):
if self.root is None:
self.root = TreeNode(value)
else:
self._insert_recursive(self.root, value)
def _insert_recursive(self, node, value):
if value < node.value:
if node.left is None:
node.left = TreeNode(value)
else:
self._insert_recursive(node.left, value)
else:
if node.right is None:
node.right = TreeNode(value)
else:
self._insert_recursive(node.right, value)
# Inorder traversal (Left, Root, Right)
def inorder_traversal(self):
return self._inorder(self.root, [])
def _inorder(self, node, result):
if node:
self._inorder(node.left, result)
result.append(node.value)
self._inorder(node.right, result)
return result
# Preorder traversal (Root, Left, Right)
def preorder_traversal(self):
return self._preorder(self.root, [])
def _preorder(self, node, result):
if node:
result.append(node.value)
self._preorder(node.left, result)
self._preorder(node.right, result)
return result
# Postorder traversal (Left, Right, Root)
def postorder_traversal(self):
return self._postorder(self.root, [])
def _postorder(self, node, result):
if node:
self._postorder(node.left, result)
self._postorder(node.right, result)
result.append(node.value)
return result
# Find height of the binary tree
def find_height(self):
return self._find_height(self.root)
def _find_height(self, node):
if node is None:
return -1 # Return -1 for null nodes
left_height = self._find_height(node.left)
right_height = self._find_height(node.right)
return 1 + max(left_height, right_height)
# Search for a value in the binary tree
def search(self, value):
return self._search_recursive(self.root, value)
def _search_recursive(self, node, value):
if node is None or node.value == value:
return node
if value < node.value:
return self._search_recursive(node.left, value)
else:
return self._search_recursive(node.right, value)
# Find the minimum value in the binary tree
def find_min(self):
if self.root is None:
return None
current = self.root
while current.left is not None:
current = current.left
return current.value
# Find the maximum value in the binary tree
def find_max(self):
if self.root is None:
return None
current = self.root
while current.right is not None:
current = current.right
return current.value
# Example usage of BinaryTree class
if __name__ == "__main__":
tree = BinaryTree()
# Insert nodes
values_to_insert = [50, 30, 20, 40, 70, 60, 80]
for value in values_to_insert:
tree.insert(value)
print("Inorder Traversal:", tree.inorder_traversal()) # [20, 30, 40, 50, 60, 70, 80]
print("Preorder Traversal:", tree.preorder_traversal()) # [50, 30, 20, 40, 70, 60, 80]
print("Postorder Traversal:", tree.postorder_traversal()) # [20, 40, 30, 60, 80, 70, 50]
# Find height
print("Height of the tree:", tree.find_height()) # 2
# Search for a value
search_value = 40
found_node = tree.search(search_value)
print(f"Search for {search_value}: {'Found' if found_node else 'Not Found'}")
# Find minimum and maximum values
print("Minimum value in the tree:", tree.find_min()) # 20
print("Maximum value in the tree:", tree.find_max()) # 80
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