diff --git a/lib/tree.rb b/lib/tree.rb index c0d4b51..b54e341 100644 --- a/lib/tree.rb +++ b/lib/tree.rb @@ -16,47 +16,121 @@ def initialize @root = nil end - # Time Complexity: - # Space Complexity: + # Time Complexity: O(log(n)) where n is the number of nodes + # Space Complexity: O(1) def add(key, value) - raise NotImplementedError + new_node = TreeNode.new(key, value) + if !@root + @root = new_node + return + end + add_node(new_node, @root) + + end + + def add_node(new_node, curr) + if curr.key >= new_node.key + if !curr.left + curr.left = new_node + return + end + add_node(new_node, curr.left) + else + if !curr.right + curr.right = new_node + return + end + add_node(new_node, curr.right) + end end - # Time Complexity: - # Space Complexity: + + # Time Complexity: O(log(n)) where n is the number of nodes + # Space Complexity: O(1) def find(key) - raise NotImplementedError + return if !@root + curr = @root + while curr + if curr.key == key + return curr.value + elsif curr.key > key + curr = curr.left + else + curr = curr.right + end + end + return false end - # Time Complexity: - # Space Complexity: + # Time Complexity: O(n) where n is the number of nodes + # Space Complexity: O(n) "" def inorder - raise NotImplementedError + inorder_traversal(@root, []) + end + + def inorder_traversal(node, node_list) + return node_list if !node + inorder_traversal(node.left, node_list) + visit(node, node_list) + inorder_traversal(node.right, node_list) + end + + def visit(node, arr) + arr.push({key: node.key, value: node.value}) end - # Time Complexity: - # Space Complexity: + # Time Complexity: O(n) where n is the number of nodes + # Space Complexity: O(n) "" def preorder - raise NotImplementedError + preorder_traversal(@root, []) end - # Time Complexity: - # Space Complexity: + def preorder_traversal(node, node_list) + return node_list if !node + visit(node, node_list) + preorder_traversal(node.left, node_list) + preorder_traversal(node.right, node_list) + end + + # Time Complexity: O(n) where n is the number of nodes + # Space Complexity: O(n) "" def postorder - raise NotImplementedError + postorder_traversal(@root, []) + end + + def postorder_traversal(node, node_list) + return node_list if !node + postorder_traversal(node.left, node_list) + postorder_traversal(node.right, node_list) + visit(node, node_list) end - # Time Complexity: - # Space Complexity: + # Time Complexity: O(n) where n is the number of nodes + # Space Complexity: O(n) def height - raise NotImplementedError + longest_tree_path(@root) + end + + def longest_tree_path(node) + return 0 if !node + right = longest_tree_path(node.right) + left = longest_tree_path(node.left) + return [right, left].max + 1 end - # Optional Method - # Time Complexity: - # Space Complexity: + # Time Complexity: O(n) where n is the number of nodes + # Space Complexity: O(n) "" def bfs - raise NotImplementedError + bfs_queue = [] + curr = @root + node_list = [] + while curr + visit(curr, node_list) + bfs_queue << curr.left if curr.left + bfs_queue << curr.right if curr.right + curr = bfs_queue.shift + end + return node_list end # Useful for printing diff --git a/test/tree_test.rb b/test/tree_test.rb index 8811f14..8f2afb4 100644 --- a/test/tree_test.rb +++ b/test/tree_test.rb @@ -18,13 +18,12 @@ it "add & find values" do tree.add(5, "Peter") - expect(tree.find(5)).must_equal "Peter" - - tree.add(15, "Ada") - expect(tree.find(15)).must_equal "Ada" - tree.add(3, "Paul") + tree.add(15, "Ada") + expect(tree.find(5)).must_equal "Peter" expect(tree.find(3)).must_equal "Paul" + expect(tree.find(15)).must_equal "Ada" + end it "can't find anything when the tree is empty" do @@ -69,6 +68,21 @@ end end + describe "hieght" do + it "will return 0 if tree is empty" do + expect(tree.height()).must_equal 0 + end + + it "will return the nuber of nodes in the longest path" do + expect(tree_with_nodes.height).must_equal 4 + tree_with_nodes.add(60, "sam") + tree_with_nodes.add(58, "penny") + tree_with_nodes.add(65, "sam") + expect(tree_with_nodes.height).must_equal 6 + end + + end + describe "breadth first search" do it "will give an empty array for an empty tree" do expect(tree.bfs).must_equal []