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Alie Ibarra C16 #48

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110 changes: 87 additions & 23 deletions binary_search_tree/tree.py
Original file line number Diff line number Diff line change
Expand Up @@ -14,46 +14,110 @@ class Tree:
def __init__(self):
self.root = None

# Time Complexity:
# Space Complexity:
#----------------------- ADD ----------------------
#from from class video 👇🏼
def add_helper(self, current, key, value):
if current == None:
return TreeNode(key, value)
elif current.key >= key:
current.left = self.add_helper(current.left, key, value)
else:
current.right = self.add_helper(current.right, key, value)
return current

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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 23 and 25.

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!

#from from class video 👆🏼

# Time Complexity: O(log n)
# Space Complexity: O(log n)
def add(self, key, value = None):
pass

# Time Complexity:
# Space Complexity:
def find(self, key):
pass
if self.root is None:
self.root = TreeNode(key, value)
return
self.add_helper(self.root, key, value)

# Time Complexity:
# Space Complexity:
#----------------------- FIND ----------------------
# Time Complexity: O(log n)
# Space Complexity: O(log n)
def find_helper(self, current, key):
if current.key == key:
return current.value
if current.key >= key:
if not current.left:
return None
return self.find_helper(current.left, key)
if not current.right:
return None
return self.find_helper(current.right, key)

def find(self, key):
if self.root == None:
return None
return self.find_helper(self.root, key)

#----------------------- IN ORDER ----------------------
# Time Complexity: O(log n)
# Space Complexity: O(log n)

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Note that unlike add and find where we only traverse down one branch of the tree, that when we do the depth-first traversals, we still do hit every node in the tree making the time and space complexity both O(n).

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This applies to inorder, preorder, and postorder.

def inorder_helper(self, current, result):
if current != None:
self.inorder_helper(current.left, result)
result.append({"key":current.key, "value": current.value})
self.inorder_helper(current.right, result)
return result

def inorder(self):
pass
result = []
return self.inorder_helper(self.root, result)

# Time Complexity:
# Space Complexity:
#----------------------- PRE ORDER ----------------------
# Time Complexity: O(log n)
# Space Complexity: O(log n)
def preorder_helper(self, current, result):
if current != None:
result.append({"key":current.key, "value": current.value})
self.preorder_helper(current.left, result)
self.preorder_helper(current.right, result)
return result

def preorder(self):
pass
result = []
return self.preorder_helper(self.root, result)

#----------------------- POST ORDER ----------------------
# Time Complexity: O(log n)
# Space Complexity: O(log n)
def postorder_helper(self, current, result):
if current != None:
self.postorder_helper(current.left, result)
self.postorder_helper(current.right, result)
result.append({"key":current.key, "value": current.value})
return result

# Time Complexity:
# Space Complexity:
def postorder(self):
pass
result = []
return self.postorder_helper(self.root, result)

#----------------------- HEIGHT ----------------------
# Time Complexity: O(n)
# Space Complexity: O(n)
def height_helper(self, current,):

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Looks like there's an extra comma here.

height = 0

if current:
height = max(self.height_helper(current.left), self.height_helper(current.right)) + 1
return height

# Time Complexity:
# Space Complexity:
def height(self):
pass

return self.height_helper(self.root)

#----------------------- OPTIONAL ----------------------
# # Optional Method
# # Time Complexity:
# # Space Complexity:
def bfs(self):
pass

return []



# # Useful for printing
def to_s(self):
return f"{self.inorder()}"
return f"{self.inorder()}"
4 changes: 2 additions & 2 deletions tests/test_binary_search_tree.py
Original file line number Diff line number Diff line change
Expand Up @@ -202,11 +202,11 @@ def test_will_report_height_of_unbalanced_tree():

assert unbalanced_tree.height() == 5


@pytest.mark.skip(reason="no way of currently testing this")
def test_bfs_with_empty_tree(empty_tree):
assert empty_tree.bfs() == []


@pytest.mark.skip(reason="no way of currently testing this")
def test_bfs_with_tree_with_nodes(tree_with_nodes):
expected_answer = [
{
Expand Down