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BST_Construction_Iterative.py
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BST_Construction_Iterative.py
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# https://www.algoexpert.io/questions/BST%20Construction
class BST:
def __init__(self, value):
self.value = value
self.left = None
self.right = None
# Average: O(log(n)) time | O(1) space
# Worst: O(n) time | O(1) space
def insert(self, value):
currentNode = self
while True:
if value < currentNode.value:
if currentNode.left is None:
currentNode.left = BST(value)
break
else:
currentNode = currentNode.left
else:
if currentNode.right is None:
currentNode.right = BST(value)
break
else:
currentNode = currentNode.right
return self
# Average: O(log(n)) time | O(1) space
# Worst: O(n) time | O(1) space
def contains(self, value):
currentNode = self
while currentNode is not None:
if value < currentNode.value:
currentNode = currentNode.left
elif value > currentNode.value:
currentNode = currentNode.right
else:
return True
return False
# Average: O(log(n)) time | O(1) space
# Worst: O(n) time | O(1) space
def remove(self, value, parentNode=None):
currentNode = self
while currentNode is not None:
if value < currentNode.value:
parentNode = currentNode
currentNode = currentNode.left
elif value > currentNode.value:
paretNode = currentNode
currentNode = currentNode.right
else:
if currentNode.left is not None and currentNode.right is not None:
currentNode.value = currentNode.right.getMinValue() # currentNode.value = smallest value of the right subtree
currentNode.right.remove(currentNode.value, currentNode)
elif parentNode is None:
if currentNode.left is not None:
currentNode.value = currentNode.left.value
currentNode.right = currentNode.left.right
currentNode.left = currentNode.left.left
elif currentNode.right is not None:
currentNode.value = currentNode.right.value
currentNode.left = currentNode.right.left
currentNode.right = currentNode.right.right
else:
currentNode.value = None
elif parentNode.left == currentNode:
parentNode.left = currentNode.left if currentNode.left is not None else currentNode.right
elif parentNode.right == currentNode:
parentNode.right = currentNode.left if currentNode.left is not None else currentNode.right
break
return self
def getMinValue(self):
currentNode = self
while currentNode.left is not None:
currentNode = currentNode.left
return currentNode.value