def __init__(self, key, val, left = None, right = None, parent = None):

self.key = key

self.payload = val

self.leftChild = left

self.rightChild = right

self.parent= parent

def hasLeftChild(self):

return self.leftChild

def hasRightChild(self):

return self.rightChild

def isLeftChild(self):

return self.parent and self.parent.leftChild == self

def isRightChild(self):

return self.parent and self.parent.rightChild == self

def isRoot(self):

return not self.parent

def isLeaf(self):

return not (self.rightChild or self.leftChild)

def hasAnyChildren(self):

return self.rightChild or self.leftChild

def hasBothChildren(self):

return self.rightChild and self.leftChild

def replaceNodeData(self, key, value, lc, rc):

self.key = key

self.payload = value

self.leftChild = lc

self.rightChild = rc

if self.hasLeftChild():

self.leftChild.parent = self

if self.hasRightChild():

def __init__(self):

self.root = None

self.size = 0

def length(self):

return self.size

def __len__(self):

return self.size

def __iter__(self):

return self.root.__iter__()

def put(self, key, val):

if self.root:

self._put(key, val, self.root)

else:

self.root = TreeNode(key, val)

self.size = self.size + 1

def _put(self, key, val, currentNode):

if key < currentNode.key:

if currentNode.hasLeftChild():

self._put(key, val, currentNode.leftChild)

else:

currentNode.leftChild = TreeNode(key, val, parent=currentNode)

else:

if currentNode.hasRightChild():

self._put(key, val, currentNode.rightChild)

else:

currentNode.rightChild = TreeNode(key, val, parent=currentNode)

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, currentNode):

if not currentNode:

return None

elif currentNode.key == key:

return currentNode

elif key < currentNode.key:

return self._get(key, currentNode.leftChild)

else:

return self._get(key, currentNode.rightChild)

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:

nodeToRemove = self._get(key, self.root)

if nodeToRemove:

self.remove(nodeToRemove)

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 = self.size - 1

else:

raise KeyError('Error, key not in tree')

def __delitem__(self, key):

self.delete(key)

def spliceOut(self):

if self.isLeaf():

if self.isLeftChild():

self.parent.leftChild = None

else:

self.parent.rightChild = None

elif self.hasAnyChildren():

if self.hasLeftChild():

if self.isLeftChild():

self.parent.leftChild = self.leftChild

else:

self.parent.rightChild = self.leftChild

self.leftChild.parent = self.parent

else:

if self.isLeftChild():

self.parent.leftChild = self.rightChild

else:

self.parent.rightChild = self.rightChild

self.rightChild.parent = self.parent

def findSuccessor(self):

succ = None

if self.hasRightChild():

succ = self.rightChild.findMin()

else:

if self.parent:

if self.isLeftChild():

succ = self.parent

else:

self.parent.rightChild = None

succ = self.parent.findSuccessor()

self.parent.rightChild = self

return succ

def findMin(self):

current = self

while current.hasLeftChild():

current = current.leftChild

return current

def remove(self, currentNode):

if currentNode.isLeaf(): # leaf

if currentNode == currentNode.parent.leftChild:

currentNode.parent.leftChild = None

else:

currentNode.parent.rightChild = None

elif currentNode.hasBothChildren(): # interior

succ = currentNode.findSuccessor()

succ.spliceOut()

currentNode.key = succ.key

currentNode.payload = succ.payload

else: # this node has one child

if currentNode.hasLeftChild():

if currentNode.isLeftChild():

currentNode.leftChild.parent = currentNode.parent

currentNode.parent.leftChild = currentNode.leftChild

elif currentNode.isRightChild():

currentNode.leftChild.parent = currentNode.parent

currentNode.parent.rightChild = currentNode.leftChild

else:

currentNode.replaceNodeData(currentNode.leftChild.key,

currentNode.leftChild.payload,

currentNode.leftChild.leftChild,

currentNode.leftChild.rightChild)

else:

if currentNode.isLeftChild():

currentNode.rightChild.parent = currentNode.parent

currentNode.parent.leftChild = currentNode.rightChild

elif currentNode.isRightChild():

currentNode.rightChild.parent = currentNode.parent

currentNode.parent.rightChild = currentNode.rightChild

else:

currentNode.replaceNodeData(currentNode.rightChild.key,

currentNode.rightChild.payload,

currentNode.rightChild.leftChild,