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Binary Tree.py
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Binary Tree.py
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class Node:
"""Class to represent a node in Python3"""
def __init__(self, data):
self.data = data # Node value
self.left = None # Left node
self.right = None # Right node
class BinaryTree:
"""Class to represent a binary tree in Python3"""
def __init__(self):
self._root = None # The root of tree
self._nodes = 0 # Number of nodes
def returnNode(self, current):
"""Auxiliary method that return the node to be relocated"""
if current.left == None:
node2 = current.right
return node2
node1 = current
node2 = current.left
while node2.right != None:
node1 = node2
node2 = node2.right
if node1 != current:
node1.right = node2.left
node2.left = current.left
node2.right = current.right
return node2
def insert(self, value):
"""Inserts a node by your value"""
if self._root is None:
self._root = Node(value)
self._nodes += 1
else:
pointer = self._root
while True:
if pointer.data > value:
if pointer.left is None:
break
pointer = pointer.left
elif pointer.data < value:
if pointer.right is None:
break
pointer = pointer.right
else:
raise Exception("The node already exists")
node = pointer
if node.data > value:
node.left = Node(value)
self._nodes += 1
else:
node.right = Node(value)
self._nodes += 1
def remove(self, value):
"""Removes a node and regroup the tree"""
prev = None
current = self._root
while current != None:
if value == current.data:
if current == self._root:
self._root = self.returnNode(current)
else:
if prev.right == current:
prev.right = self.returnNode(current)
else:
prev.left = self.returnNode(current)
prev = current
if value > current.data:
current = current.right
else:
current = current.left
self._nodes -= 1
def preOrder(self, node):
"""Prints the tree: root -> left node -> right node"""
if self._root is None:
raise Exception("The tree is empty")
if node != None:
print(node.data)
self.preOrder(node.left)
self.preOrder(node.right)
def order(self, node):
"""Prints the tree: left node -> root -> right node"""
if self._root is None:
raise Exception("The tree is empty")
if node != None:
self.order(node.left)
print(node.data)
self.order(node.right)
def postOrder(self, node):
"""Prints the tree: left node -> right node -> root"""
if self._root is None:
raise Exception("The tree is empty")
if node != None:
self.postOrder(node.left)
self.postOrder(node.right)
print(node.data)
def search(self, value):
"""Returns true if the value is in the tree, otherwise, it returns false"""
if self._root is None:
raise Exception("The tree is empty")
pointer = self._root
while True:
if pointer.data > value:
if pointer.left is None:
return False
pointer = pointer.left
elif pointer.data < value:
if pointer.right is None:
return False
pointer = pointer.right
else:
return True
def min(self, node=None):
"""Returns the lowest value in the tree or subtree"""
if node is None:
pointer = self._root
if self._root is None:
raise Exception("The tree is empty")
while pointer.left:
pointer = pointer.left
print(pointer.data)
def max(self, node=None):
"""Returns the lowest value in the tree or subtree"""
if node is None:
pointer = self._root
if self._root is None:
raise Exception("The tree is empty")
while pointer.right:
pointer = pointer.right
print(pointer.data)
def clear(self):
"""Restores the tree to its starting point (Empty)"""
self._root = None
self._nodes = 0
def height(self, node):
"""Returns the tree's height"""
if self._root is None:
raise Exception("The tree is empty")
if node is None:
return 0
else:
left_height = self.height(node.left)
right_height = self.height(node.right)
if left_height > right_height:
return left_height + 1
else:
return right_height + 1
def nodes(self):
"""Returns the number of nodes in the tree"""
return self._nodes
def root(self):
"""Returns the tree's root node"""
return self._root
def empty(self):
"""Returns true if the tree is empty, otherwise, it returns false"""
if self._root is None:
return True
return False
def printTree(self, node=None):
"""Prints the Tree"""
if node is None:
node = self._root
lines, *_ = self._printTree(node)
for line in lines:
print(line)
def _printTree(self, node):
"""Auxiliary function to print the Tree"""
if node.right is None and node.left is None: # No child
line = "%s" % node.data
width = len(line)
height = 1
middle = width // 2
return [line], width, height, middle
if node.right is None: # Only left child
lines, n, p, x = self._printTree(node.left)
s = "%s" % node.data
u = len(s)
first_line = (x + 1) * " " + (n - x - 1) * "_" + s
second_line = x * " " + "/" + (n - x - 1 + u) * " "
shifted_lines = [line + u * " " for line in lines]
return [first_line, second_line] + shifted_lines, n + u, p + 2, n + u // 2
if node.left is None: # Only right child
lines, n, p, x = self._printTree(node.right)
s = "%s" % node.data
u = len(s)
first_line = s + x * "_" + (n - x) * " "
second_line = (u + x) * " " + "\\" + (n - x - 1) * " "
shifted_lines = [u * " " + line for line in lines]
return [first_line, second_line] + shifted_lines, n + u, p + 2, u // 2
left, n, p, x = self._printTree(node.left) # Two children
right, m, q, y = self._printTree(node.right)
s = "%s" % node.data
u = len(s)
first_line = (x + 1) * " " + (n - x - 1) * "_" + s + y * "_" + (m - y) * " "
second_line = (
x * " " + "/" + (n - x - 1 + u + y) * " " + "\\" + (m - y - 1) * " "
)
if p < q:
left += [n * " "] * (q - p)
elif q < p:
right += [m * " "] * (p - q)
zipped_lines = zip(left, right)
lines = [first_line, second_line] + [a + u * " " + b for a, b in zipped_lines]
return lines, n + m + u, max(p, q) + 2, n + u // 2