diff --git a/lib/tree.rb b/lib/tree.rb index c0d4b51..6179324 100644 --- a/lib/tree.rb +++ b/lib/tree.rb @@ -2,12 +2,12 @@ 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 @@ -16,51 +16,114 @@ def initialize @root = nil end - # Time Complexity: - # Space Complexity: + # Time Complexity: O(log n) + # Space Complexity: O(1) def add(key, value) - raise NotImplementedError + @root = add_helper(@root, key, value) + end + + def add_helper(root, key, value) + if root.nil? + root = TreeNode.new(key, value) + return root + end + + if root.key > key + root.left = add_helper(root.left, key, value) + else + root.right = add_helper(root.right, key, value) + end + + root end - # Time Complexity: - # Space Complexity: + # Time Complexity: O(log n) + # Space Complexity: O(log n) def find(key) - raise NotImplementedError + find_helper(@root, key) end - # Time Complexity: - # Space Complexity: + def find_helper(node, key) + return nil if node.nil? + + if node.key == key + node.value + elsif node.key < key + find_helper(node.right, key) + else + find_helper(node.left, key) + end + end + + # Time Complexity: O(n) + # Space Complexity: O(n) def inorder - raise NotImplementedError + result = [] + inorder_helper(@root, result) + result + end + + def inorder_helper(node, result) + return if node.nil? + + inorder_helper(node.left, result) + result.push({ key: node.key, value: node.value }) + inorder_helper(node.right, result) end - # Time Complexity: - # Space Complexity: + # Time Complexity: O(n) + # Space Complexity: O(n) def preorder - raise NotImplementedError + result = [] + preorder_helper(@root, result) + result end - # Time Complexity: - # Space Complexity: + def preorder_helper(node, result) + return if node.nil? + + result.push({ key: node.key, value: node.value }) + preorder_helper(node.left, result) + preorder_helper(node.right, result) + end + + # Time Complexity: O(n) + # Space Complexity: O(n) def postorder - raise NotImplementedError + result = [] + postorder_helper(@root, result) + result + end + + def postorder_helper(node, result) + return if node.nil? + + postorder_helper(node.left, result) + postorder_helper(node.right, result) + result.push({ key: node.key, value: node.value }) end - # Time Complexity: - # Space Complexity: + # Time Complexity: O(n) + # Space Complexity: O(n) def height - raise NotImplementedError + height_helper(@root, 0) + end + + def height_helper(node, steps) + return steps if node.nil? + + [height_helper(node.left, steps + 1), height_helper(node.right, steps + 1)].max end # Optional Method - # Time Complexity: - # Space Complexity: + # Time Complexity: + # Space Complexity: def bfs - raise NotImplementedError + return [] if @root.nil? end # Useful for printing def to_s - return "#{self.inorder}" + inorder.to_s end end