diff --git a/lib/tree.rb b/lib/tree.rb index c0d4b51..662347d 100644 --- a/lib/tree.rb +++ b/lib/tree.rb @@ -16,40 +16,128 @@ def initialize @root = nil end - # Time Complexity: - # Space Complexity: + # Time Complexity: O(log n) + # Space Complexity: O(log n) def add(key, value) - raise NotImplementedError + new_node = TreeNode.new(key, value) + + if @root.nil? + @root = new_node + else + add_helper(@root, key, value) + end end - # Time Complexity: - # Space Complexity: + def add_helper(current, key, value) + return TreeNode.new(key,value) if current.nil? + + if key < current.key + current.left = add_helper(current.left, key, value) + else + current.right = add_helper(current.right, key, value) + end + + return current + end + + # Time Complexity: O(log n) + # Space Complexity: O(log n) def find(key) - raise NotImplementedError + return if @root.nil? + + if @root == key + return @root.value + else + find_helper(@root, key) + end end - # Time Complexity: - # Space Complexity: + def find_helper(current, key) + return if current.nil? + + if key < current.key + current.left = find_helper(current.left, key) + elsif key > current.key + current.right = find_helper(current.right, key) + else + return current.value + end + end + + # Time Complexity: O(n) + # Space Complexity: O(n) def inorder - raise NotImplementedError + return inorder_helper(@root, []) end - # Time Complexity: - # Space Complexity: + def inorder_helper(current_node, list) + return list if current_node.nil? + # left + inorder_helper(current_node.left, list) + # middle + list << {key: current_node.key, value: current_node.value} + # right + inorder_helper(current_node.right, list) + + return list + end + + # Time Complexity: O(n) + # Space Complexity: O(n) def preorder - raise NotImplementedError + return preorder_helper(@root, []) end - # Time Complexity: - # Space Complexity: + def preorder_helper(current_node, list) + return list if current_node.nil? + # middle + list << {key: current_node.key, value: current_node.value} + # left + preorder_helper(current_node.left, list) + #right + preorder_helper(current_node.right, list) + + return list + end + + # Time Complexity: O(n) + # Space Complexity: O(n) def postorder - raise NotImplementedError + return postorder_helper(@root, []) + end + + def postorder_helper(current_node, list) + return list if current_node.nil? + # left + postorder_helper(current_node.left, list) + #right + postorder_helper(current_node.right, list) + # middle + list << {key: current_node.key, value: current_node.value} + + return list end # Time Complexity: # Space Complexity: def height - raise NotImplementedError + if @root.nil? + return 0 + else + height_helper(@root) + end + end + + def height_helper(current) + return 0 if current.nil? + left = height_helper(current.left) + right = height_helper(current.right) + + if (left > right) + return left + 1 + else + return right + 1 + end end # Optional Method