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Leaves-Yasmin #25

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130 changes: 114 additions & 16 deletions lib/tree.rb
Original file line number Diff line number Diff line change
Expand Up @@ -17,41 +17,139 @@ def initialize
end

# Time Complexity:
# Space Complexity:
# Space Complexity: o(n)
def add(key, value)
Comment on lines -20 to 21

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The space/time complexity is O(log n) if the tree is balanced and O(n) if it's not.

raise NotImplementedError
@root = add_helper(@root, key, value)
end

def add_helper(current_node, key, value)
return TreeNode.new(key, value) if current_node.nil?
if key < current_node.key
current_node.left = add_helper(current_node.left, key, value)
else
current_node.right = add_helper(current_node.right, key, value)
end
return current_node
end


# def add(key, value)
# if @root.nil?
# @root = TreeNode.new(key, value)
# else
# current = @root
# while true
# if key < current.key
# if !current.left.nil?
# current = current.left
# else
# current.left = TreeNode.new(key, value)
# end
# else
# if !current.right.nil?
# current = current.right
# else
# current.right = TreeNode.new(key, value)
# end
# end
# end
# end
# end


# Time Complexity:
# Space Complexity:
# Space Complexity: o(n)
def find(key)
Comment on lines +61 to 62

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The space/time complexity is O(log n) if the tree is balanced and O(n) if it's not.

raise NotImplementedError
# raise NotImplementedError
return find_helper(@root, key)
end

# Time Complexity:
# Space Complexity:
def find_helper(current_node, key)
return nil if current_node.nil?
if current_node.key == key
return current_node.value
elsif key <= current_node.key
return find_helper(current_node.left, key)
else
return find_helper(current_node.right, key)
end
end



# Time Complexity:o(n)
# Space Complexity:o(n)
def inorder
Comment on lines +80 to 82

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👍

raise NotImplementedError
# raise NotImplementedError
return inorder_helper(@root, [])
end

def inorder_helper(current_node, list)
return list if current_node.nil?

# Time Complexity:
# Space Complexity:
inorder_helper(current_node.left, list)
list << {key:current_node.key, value: current_node.value}
inorder_helper(current_node.right, list)
return list
end


# Time Complexity: o(n)
# Space Complexity: o(n)
def preorder
Comment on lines +97 to 99

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👍

raise NotImplementedError
# raise NotImplementedError
return preorder_helper(@root, [])
end

# Time Complexity:
# Space Complexity:
def preorder_helper(current_node, list)
return list if current_node.nil?

list << { key: current_node.key, value: current_node.value }
preorder_helper(current_node.left, list)
preorder_helper(current_node.right, list)
return list
end



# Time Complexity: o(n)
# Space Complexity: o(n)
def postorder
Comment on lines +115 to 117

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👍

raise NotImplementedError
# raise NotImplementedError
return postorder_helper(@root, [])
end

# Time Complexity:
# Space Complexity:
def postorder_helper(current_node, list)
return list if current_node.nil?

postorder_helper(current_node.left, list)
postorder_helper(current_node.right, list)
list << { key: current_node.key, value: current_node.value }
return list
end



# Time Complexity: o(n)
# Space Complexity: o(n)
def height
Comment on lines +133 to 135

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Because your recursive stack depends on the height of the tree the space complexity is O(log n) for balanced trees and O(n) for unbalanced trees.

raise NotImplementedError
# raise NotImplementedError
return height_helper(@root)
end
def height_helper(current_node)
return 0 if current_node.nil?

left_height = height_helper(current_node.left)
right_height = height_helper(current_node.right)
if left_height > right_height
return left_height += 1
else
return right_height += 1
end
end



# Optional Method
# Time Complexity:
# Space Complexity:
Expand Down
4 changes: 2 additions & 2 deletions test/tree_test.rb
Original file line number Diff line number Diff line change
Expand Up @@ -67,7 +67,7 @@
end
end

describe "breadth first search" do
xdescribe "breadth first search" do
it "will give an empty array for an empty tree" do
expect(tree.bfs).must_equal []
end
Expand Down Expand Up @@ -98,7 +98,7 @@
end
end

describe "delete" do
xdescribe "delete" do
it "can delete a note in the tree" do
# Arrange & Assert
expect(tree_with_nodes.find(15)).must_equal "Ada"
Expand Down