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binarytree.py
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167 lines (136 loc) · 3.67 KB
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class BinarySearchTree():
def __init__(self,root=None,*initial_keys):
self.nodes = []
self.root = None if root == None else Node(root)
if not initial_keys:
return
for key in initial_keys:
self.insert(key)
def insert(self,key):
new_node = Node(key)
if not self.root:
self.root = new_node
return
curr_node = self.root
while True:
if key < curr_node.key:
if not curr_node.left:
curr_node.left = new_node
new_node.parent = curr_node
break
else:
curr_node = curr_node.left
elif key > curr_node.key:
if not curr_node.right:
curr_node.right = new_node
new_node.parent = curr_node
break
else:
curr_node = curr_node.right
else:
raise NotImplementedError("No duplicates allowed yet")
self.nodes.append(new_node)
def delete (self,node):
self.nodes.remove(node)
if not node.left:
self._transplant(node,node.right)
elif not node.right:
self._transplant(node,node.left)
else:
replacement = self.min(node.right)
if replacement.parent != node:
self._transplant(replacement,replacement.right)
replacement_is_right_child = False
else:
replacement_is_right_child = True
self._transplant(node,replacement)
if not replacement_is_right_child:
node.right.parent = replacement
replacement.right = node.right
replacement.left = node.left
replacement.left.parent = replacement
def _transplant(self,node,replacement):
if not node.parent:
self.root = replacement
elif node.is_left_child():
node.parent.left = replacement
else:
node.parent.right = replacement
if replacement:
replacement.parent = node.parent
def find(self,key):
curr_node = self.root
while curr_node:
if key == curr_node.key:
return curr_node
elif key < curr_node.key:
curr_node = curr_node.left
elif key > curr_node.key:
curr_node = curr_node.right
return None
def min(self,curr_node):
while curr_node.left:
curr_node = curr_node.left
return curr_node
def max(self,curr_node):
while curr_node.right:
curr_node = curr_node.right
return curr_node
def successor(self,node):
if node.right:
return self.min(node.right)
while node.parent:
if node.is_right_child():
node = node.parent
else:
return node.parent
def predecessor(self,node):
if node.left:
return self.max(node.left)
while node.parent:
if node.is_left_child():
node = node.parent
else:
return node.parent
def inorder_traversal(self,curr_node,display='key'):
if curr_node:
yield from self.inorder_traversal(curr_node.left,display)
if display == 'key':
yield curr_node.key
elif display == 'node':
yield curr_node
else:
raise Exception('Invalid display type: %s' % (display))
yield from self.inorder_traversal(curr_node.right,display)
def __iter__(self):
yield from self.inorder_traversal(self.root)
def __len__(self):
return len(self.nodes)
class Node():
__slots__ = ('key','right','left','parent','height')
def __init__(self,key):
self.key = key
self.right = None
self.left = None
self.parent = None
def is_left_child(self):
if not self.parent:
return False
if self == self.parent.left:
return True
else:
return False
def is_right_child(self):
if not self.parent:
return False
if self == self.parent.right:
return True
else:
return False
def __repr__(self):
return "Node objecTt: " + str(self.key)
tree = BinarySearchTree(1,3,5,10,29,38,4,21,15,16,23,25)
for key in tree:
print(key)
print("------")
print(tree.find(3))