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137 changes: 108 additions & 29 deletions lib/tree.rb
Original file line number Diff line number Diff line change
@@ -1,66 +1,145 @@
class TreeNode
attr_reader :key, :value
attr_accessor :left, :right

def initialize(key, val)
def initialize(key, val)
@key = key
@value = val
@left = nil
@right = nil
end
end
end

class Tree
attr_reader :root
def initialize
@root = nil
end

# Time Complexity:
# Space Complexity:

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

# Time Complexity: O(log n)
# Space Complexity: O(log n)
def add(key, value)
Comment on lines +31 to 33

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

# Time Complexity:
# Space Complexity:

def find_helper(current_node, target)
return current_node if current_node == nil
return current_node.value if current_node.key == target

if target < current_node.key
find_helper(current_node.left, target)
else
find_helper(current_node.right, target)
end

end

# Time Complexity: O(log n)
# Space Complexity: O(log n)
def find(key)
Comment on lines +49 to 51

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raise NotImplementedError
return find_helper(@root, key)
end

# Time Complexity:
# Space Complexity:

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

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 inorder
Comment on lines +65 to 67

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raise NotImplementedError
return inorder_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 preorder
Comment on lines +81 to 83

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raise NotImplementedError
return preorder_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 postorder
Comment on lines +97 to 99

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

# Time Complexity:
# Space Complexity:

# Time Complexity: O(log n)
# Space Complexity: O(log n)

def height_helper(current_node)
Comment on lines +103 to +106

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Since you have to visit each node, the time complexity is going to be O(n). However since the recursive call stack won't be bigger than the height or O(log n) for a balanced tree.

return 0 if current_node.nil?

left = height_helper(current_node.left)
right = height_helper(current_node.right)

if left > right
return left += 1
else
return right += 1
end
end

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

# Optional Method
# Time Complexity:
# Space Complexity:
def bfs
raise NotImplementedError
end

# Useful for printing
def to_s
return "#{self.inorder}"
end
end

# tree = Tree.new
# tree.add(1, "Brianna")
# tree.add(2, "Brianna")
# tree.add(3, "Brianna")
# # p tree

# # p tree.inorder
# p tree.find(2)
# p tree.find(3)