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class TreeNode: | |
def __init__(self, key, value, left=None, right=None, parent=None): | |
self.key = key | |
self.value = value | |
self.left = left | |
self.right = right | |
self.parent = parent | |
def hasLeft(self): | |
return self.left | |
def hasRight(self): | |
return self.right | |
def isRight(self): | |
return self.parent and self.parent.right == self | |
def isLeft(self): | |
return self.parent and self.parent.left == self | |
def hasBoth(self): | |
return self.left and self.right | |
def hasOneChild(self): | |
return (self.left and not self.right) or (self.right and not self.left) | |
def isLeaf(self): | |
return (not self.left and not self.right) | |
def isRoot(self): | |
return self.parent | |
def replace(self, key, value, lc, rc): | |
self.key = key | |
self.value = value | |
self.left = lc | |
self.right = rc | |
# Reassign the children of this node | |
# to the proper parent | |
if self.hasLeft(): | |
self.left.parent = self | |
if self.hasRight(): | |
self.right.parent = self | |
def splice(self): | |
if self.isLeaf(): | |
if self.isLeft(): | |
self.parent.left = None | |
elif self.isRight(): | |
self.parent.right = None | |
elif self.hasRight() or self.hasLeft(): | |
if self.hasLeft(): | |
if self.isLeft(): | |
self.parent.left = self.left | |
elif self.isRight(): | |
self.parent.right = self.left | |
self.left.parent = self.parent | |
elif self.hasRight(): | |
if self.isLeft(): | |
self.parent.left = self.right | |
elif self.isRight(): | |
self.parent.right = self.right | |
self.right.parent = self.parent | |
def findSuccessor(self): | |
succ = None | |
if self.hasRight(): | |
succ = self.right.findMin() | |
else: | |
if self.parent: | |
if self.isLeft(): | |
succ = self.parent | |
else: | |
self.parent.right = None | |
succ = self.parent.findSuccessor() | |
self.parent.right = self | |
return succ | |
def findMin(self): | |
current = self | |
while current.hasLeft(): | |
current = current.left | |
return current | |
class BST: | |
def __init__(self): # Initialize root and size | |
self.root = None | |
self.size = 0 | |
def length(self): | |
return self.size | |
def __len__(self): | |
return self.size | |
def put(self, key, val): | |
if not self.root: | |
self.root = TreeNode(key, val) | |
else: | |
self._put(key, val, self.root) | |
self.size = self.size + 1 # increase the bst length | |
def _put(self, key, val, current): | |
if key < current.key: | |
if current.hasLeft(): | |
self._put(key, val, current.left) | |
else: | |
current.left = TreeNode(key, val, parent=current) | |
elif key > current.key: | |
if current.hasRight(): | |
self._put(key, val, current.right) | |
else: | |
current.right = TreeNode(key, val, parent=current) | |
elif key == current.key: | |
current.replace(key, val, current.left, current.right) | |
else: | |
raise KeyError('Key is not correct data type') | |
def __setitem__(self, k, v): | |
self.put(k, v) | |
def get(self, key): | |
if self.root: | |
result = self._get(key, self.root) | |
if result: | |
return result.value | |
else: | |
return None | |
else: | |
return None | |
def _get(self, key, current): | |
if not current: # Base Case | |
return None | |
else: | |
if key == current.key: | |
return current | |
elif key < current.key: | |
if current.hasLeft(): | |
self._get(key, current.left) # search left child | |
elif key > current.key: | |
if current.hasRight(): | |
self._get(key, current.right) # search right child | |
else: | |
return None | |
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 = self.size - 1 | |
else: | |
raise KeyError('key not found in Tree') | |
def __delitem__(self, key): | |
self.delete(key) | |
def remove(self, current): | |
if current.isLeaf(): | |
if current.isLeft(): | |
current.parent.left = None | |
elif current.isRight(): | |
current.parent.right = None | |
current = None | |
elif current.hasOneChild(): | |
if current.hasLeft(): | |
if current.isLeft(): | |
current.parent.left = current.left | |
current.left.parent = current.parent | |
elif current.isRight(): | |
current.parent.right = current.left | |
current.left.parent = current.parent | |
else: # this is a root node, replace root | |
current.replace(current.left.key, | |
current.left.value, | |
current.left.left, | |
current.left.right) | |
if current.hasRight(): | |
if current.isLeft(): | |
current.parent.left = current.right | |
current.right.parent = current.parent | |
elif current.isRight(): | |
current.parent.right = current.right | |
current.right.parent = current.parent | |
else: # root node with no left tree | |
current.replace(current.right.key, | |
current.right.value, | |
current.right.left, | |
current.right.right) | |
elif current.hasBoth(): | |
succ = current.findSuccessor() # find the replacing node | |
succ.splice | |
current.key = succ.key | |
current.value = succ.value |
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