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from binarySearchTree import BinarySearchTree, TreeNode | |
class AvlTree(BinarySearchTree): | |
'''An extension to the BinarySearchTree data structure which | |
strives to keep itself balanced ''' | |
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) | |
self.updateBalance(currentNode.leftChild) | |
else: | |
if currentNode.hasRightChild(): | |
self._put(key,val,currentNode.rightChild) | |
else: | |
currentNode.rightChild = TreeNode(key,val,parent=currentNode) | |
self.updateBalance(currentNode.rightChild) | |
def updateBalance(self,node): | |
if node.balanceFactor > 1 or node.balanceFactor < -1: | |
self.rebalance(node) | |
return | |
if node.parent != None: | |
if node.isLeftChild(): | |
node.parent.balanceFactor += 1 | |
elif node.isRightChild(): | |
node.parent.balanceFactor -= 1 | |
if node.parent.balanceFactor != 0: | |
self.updateBalance(node.parent) | |
def rotateLeft(self,rotRoot): | |
newRoot = rotRoot.rightChild | |
rotRoot.rightChild = newRoot.leftChild | |
if newRoot.leftChild != None: | |
newRoot.leftChild.parent = rotRoot | |
newRoot.parent = rotRoot.parent | |
if rotRoot.isRoot(): | |
self.root = newRoot | |
else: | |
if rotRoot.isLeftChild(): | |
rotRoot.parent.leftChild = newRoot | |
else: | |
rotRoot.parent.rightChild = newRoot | |
newRoot.leftChild = rotRoot | |
rotRoot.parent = newRoot | |
rotRoot.balanceFactor = rotRoot.balanceFactor + 1 - min( | |
newRoot.balanceFactor, 0) | |
newRoot.balanceFactor = newRoot.balanceFactor + 1 + max( | |
rotRoot.balanceFactor, 0) | |
def rotateRight(self,rotRoot): | |
newRoot = rotRoot.leftChild | |
rotRoot.leftChild = newRoot.rightChild | |
if newRoot.rightChild != None: | |
newRoot.rightChild.parent = rotRoot | |
newRoot.parent = rotRoot.parent | |
if rotRoot.isRoot(): | |
self.root = newRoot | |
else: | |
if rotRoot.isRightChild(): | |
rotRoot.parent.rightChild = newRoot | |
newRoot.rightChild = rotRoot | |
rotRoot.parent = newRoot | |
rotRoot.balanceFactor = rotRoot.balanceFactor + 1 - min( | |
newRoot.balanceFactor, 0) | |
newRoot.balanceFactor = newRoot.balanceFactor + 1 + max( | |
rotRoot.balanceFactor, 0) | |
def rebalance(self,node): | |
if node.balanceFactor < 0: | |
if node.rightChild.balanceFactor > 0: | |
self.rotateRight(node.rightChild) | |
self.rotateLeft(node) | |
else: | |
self.rotateLeft(node) | |
elif node.balanceFactor > 0: | |
if node.leftChild.balanceFactor < 0: | |
self.rotateLeft(node.leftChild) | |
self.rotateRight(node) | |
else: | |
self.rotateRight(node) | |
mytree = AvlTree() | |
mytree[3]="red" | |
mytree[4]="blue" | |
mytree[6]="yellow" | |
mytree[2]="at" | |
print(mytree[6]) | |
print(mytree[2]) |
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