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binary_search_tree.py
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binary_search_tree.py
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class TreeNode:
def __init__(self, key, val, left=None, right=None, parent=None):
self.key = key
self.payload = val
self.left_child = left
self.right_child = right
self.parent = parent
def has_left_child(self):
return self.left_child
def has_right_child(self):
return self.right_child
def is_left_child(self):
return self.parent and self.parent.left_child == self
def is_right_child(self):
return self.parent and self.parent.right_child == self
def is_root(self):
return not self.parent
def is_leaf(self):
return not (self.right_child or self.left_child)
def has_any_children(self):
return self.right_child or self.left_child
def has_both_children(self):
return self.right_child and self.left_child
def replace_node_data(self, key, value, lc, rc):
self.key = key
self.payload = value
self.left_child = lc
self.right_child = rc
if self.has_left_child():
self.left_child.parent = self
if self.has_right_child():
self.right_child.parent = self
class BinarySearchTree:
def __init__(self):
self.root = None
self.size = 0
def length(self):
return self.size
def __len__(self):
return self.size
def put(self, key, val):
if self.root:
self._put(key, val, self.root)
else:
self.root = TreeNode(key, val)
self.size += 1
def _put(self, key, val, current_node):
if key < current_node.key:
if current_node.has_left_child():
self._put(key, val, current_node.left_child)
else:
current_node.left_child = TreeNode(key, val, parent=current_node)
else:
if current_node.has_right_child():
self._put(key, val, current_node.right_child)
else:
current_node.right_child = TreeNode(key, val, parent=current_node)
def __setitem__(self, k, v):
self.put(k, v)
def get(self, key):
if self.root:
res = self._get(key, self.root)
if res:
return res.payload
else:
return None
else:
return None
def _get(self, key, current_node):
if not current_node:
return None
elif current_node.key == key:
return current_node
elif key < current_node.key:
return self._get(key, current_node.left_child)
else:
return self._get(key, current_node.right_child)
def __getitem__(self, key):
return self.get(key)
def __contains__(self, key):
if self._get(key, self.root):
return True
else:
return False
def delete(self, key):
if self.size > 1:
node_to_remove = self._get(key, self.root)
if node_to_remove:
self.remove(node_to_remove)
self.size -= 1
else:
raise KeyError('Error, key not in tree')
elif self.size == 1 and self.root.key == key:
self.root = None
self.size -= 1
else:
raise KeyError('Error, key not in tree')
def __delitem__(self, key):
self.delete(key)
def splice_out(self):
if self.is_leaf():
if self.is_left_child():
self.parent.left_child = None
else:
self.parent.right_child = None
elif self.has_any_children():
if self.has_left_child():
if self.is_left_child():
self.parent.left_child = self.left_child
else:
self.parent.right_child = self.left_child
self.left_child.parent = self.parent
else:
if self.is_left_child():
self.parent.left_child = self.right_child
else:
self.parent.right_child = self.right_child
self.right_child.parent = self.parent
def find_successor(self):
successor = None
if self.has_right_child():
successor = self.right_child.find_min()
else:
if self.parent:
if self.is_left_child():
successor = self.parent
else:
self.parent.right_child = None
successor = self.parent.find_successor()
self.parent.right_child = self
return successor
def find_min(self):
current = self
while current.has_left_child():
current = current.left_child
return current
@staticmethod
def remove(current_node):
if current_node.is_leaf(): # leaf
if current_node == current_node.parent.left_child:
current_node.parent.left_child = None
else:
current_node.parent.right_child = None
elif current_node.has_both_children(): # interior
successor = current_node.find_successor()
successor.splice_out()
current_node.key = successor.key
current_node.payload = successor.payload
else: # this node has one child
if current_node.has_left_child():
if current_node.is_left_child():
current_node.left_child.parent = current_node.parent
current_node.parent.left_child = current_node.left_child
elif current_node.is_right_child():
current_node.left_child.parent = current_node.parent
current_node.parent.right_child = current_node.left_child
else:
current_node.replace_node_data(current_node.left_child.key,
current_node.left_child.payload,
current_node.left_child.left_child,
current_node.left_child.right_child)
else:
if current_node.is_left_child():
current_node.right_child.parent = current_node.parent
current_node.parent.left_child = current_node.right_child
elif current_node.is_right_child():
current_node.right_child.parent = current_node.parent
current_node.parent.right_child = current_node.right_child
else:
current_node.replace_node_data(current_node.right_child.key,
current_node.right_child.payload,
current_node.right_child.left_child,
current_node.right_child.right_child)
my_tree = BinarySearchTree()
my_tree[3]="red"
my_tree[4]="blue"
my_tree[6]="yellow"
my_tree[2]="at"
print(my_tree[6])
print(my_tree[2])