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Jesse Pope - CS Fun Tree Practice #37

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125 changes: 103 additions & 22 deletions binary_search_tree/tree.py
Original file line number Diff line number Diff line change
Expand Up @@ -8,41 +8,124 @@ def __init__(self, key, val = None):
self.left = None
self.right = None



class Tree:
def __init__(self):
self.root = None

# Time Complexity:
# Space Complexity:
def add_helper(self, current_root, new_node):
if current_root is None:
return new_node

if new_node.key < current_root.key:
current_root.left = self.add_helper(current_root.left, new_node)

else:
current_root.right = self.add_helper(current_root.right, new_node)

return current_root

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This implementation of add_helper works, but definitely does a bit of extra work in setting nodes. Essentially, every node on the path to where the new node ends up will have either its left or right node "updated", though most of these will be updated to the exact same node. The only one that gets a meaningful update is whenever the bottom of the tree is reached and gets its left/right node updated to the new node. These updates happen in lines 20 and 23.

This probably will not be too bad of a performance hit, but there is a way that you can do this and just update only the node you need.

But this overall fine enough!


def add(self, key, value):
if self.root is None:
self.root = TreeNode(key, value)
return

new_node = TreeNode(key, value)
self.add_helper(self.root, new_node)

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Looks like this was an older recursive solution. Good on you for solving it both ways! And correctly at that!

However, do be careful about leaving old unused versions of code in your source code, whether they are commented out or not. Especially if they have have the same name as they do in this case. Just mainly a style thing about aiming to keep your code clean of clutter.


# Time Complexity: if tree is balanced O(log n)
# Space Complexity: O(1)
def add(self, key, value = None):
pass
node = TreeNode(key, value)
if self.root is None:
self.root = node
return

current = self.root

while current:
if current.key > key:
if current.left is None:
current.left = node
return
else:
current = current.left
else:
if current.right is None:
current.right = node
return
else:
current = current.right

# Time Complexity:
# Space Complexity:
# Time Complexity: if tree is balanced O(log n)
# Space Complexity: O(1)
def find(self, key):
pass
current = self.root

while current != None:
if current.key == key:
return current.value
elif key < current.key:
current = current.left
else:
current = current.right

return None

# Time Complexity:
# Space Complexity:
def inorder_helper(self, current_node, items):
if current_node is not None:
self.inorder_helper(current_node.left, items)
items.append({ "key": current_node.key, "value": current_node.value })
self.inorder_helper(current_node.right, items)

# Time Complexity: O(n)
# Space Complexity: O(n)
def inorder(self):
pass
items = []
self.inorder_helper(self.root, items)

return items

def preorder_helper(self, current_node, items):
if current_node is not None:
items.append({ "key": current_node.key, "value": current_node.value })
self.preorder_helper(current_node.left, items)
self.preorder_helper(current_node.right, items)

# Time Complexity:
# Space Complexity:

# Time Complexity: O(n)
# Space Complexity: O(n)
def preorder(self):
pass
items = []
self.preorder_helper(self.root, items)

return items

# Time Complexity:
# Space Complexity:
def postorder_helper(self, current_node, items):
if current_node is not None:
self.postorder_helper(current_node.left, items)
self.postorder_helper(current_node.right, items)
items.append({ "key": current_node.key, "value": current_node.value })

# Time Complexity: O(n)
# Space Complexity: O(n)
def postorder(self):
pass
items = []
self.postorder_helper(self.root, items)

return items

def height_helper(self, current_node):
if current_node is not None:
height_left = self.height_helper(current_node.left)
height_right = self.height_helper(current_node.right)
return (max(height_left, height_right) +1)
else:
return 0

# Time Complexity:
# Space Complexity:
# Time Complexity: O(n)
# Space Complexity: O(n) if balanced O(log n)
def height(self):
pass
return self.height_helper(self.root)


# # Optional Method
Expand All @@ -51,8 +134,6 @@ def height(self):
def bfs(self):
pass




# # Useful for printing
def to_s(self):
Expand Down