diff --git a/lib/tree.rb b/lib/tree.rb index c0d4b51..292df8d 100644 --- a/lib/tree.rb +++ b/lib/tree.rb @@ -2,61 +2,137 @@ 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 + + def add(key, value) + if key == @key + return + elsif key < @key + left.nil? ? @left = TreeNode.new(key, value) : left.add(key, value) + elsif key > @key + right.nil? ? @right = TreeNode.new(key, value) : right.add(key, value) + end + end + + def find(key) + if key == @key + return @value + elsif key < @key + left.nil? ? nil : left.find(key) + elsif key > @key + right.nil? ? nil : right.find(key) + end + end + + def inorder(array) + left.inorder(array) unless left.nil? + array << {key: @key, value: @value} + right.inorder(array) unless right.nil? + end + + def preorder(array) + array << {key: @key, value: @value} + + if left + left.preorder(array) + end + + if right + right.preorder(array) + end + end + + def postorder(array) + if left + left.postorder(array) + end + + if right + right.postorder(array) + end + array << {key: @key, value: @value} + end end class Tree attr_reader :root + def initialize @root = nil end - # Time Complexity: - # Space Complexity: + # Time Complexity: O(log n) if balanced tree, O(n) if unbalanced, n = # nodes in tree + # Space Complexity: O(log n) if balanced tree, O(n) if unbalanced, n = # nodes in tree def add(key, value) - raise NotImplementedError + if root.nil? + @root = TreeNode.new(key, value) + else + root.add(key, value) + end end - # Time Complexity: - # Space Complexity: + # Time Complexity: O(log n) if balanced tree, O(n) if unbalanced, n = # nodes in tree + # Space Complexity: O(log n) if balanced tree, O(n) if unbalanced, n = # nodes in tree def find(key) - raise NotImplementedError + if root.nil? + return nil + else + root.find(key) + end end - # Time Complexity: - # Space Complexity: + # Time Complexity: O(n),n = # nodes in tree + # Space Complexity: O(n), n = # nodes in tree def inorder - raise NotImplementedError + array = [] + if root.nil? + return array + else + root.inorder(array) + return array + end end - # Time Complexity: - # Space Complexity: + # Time Complexity: O(n), n = # nodes in tree + # Space Complexity: O(n), n = # nodes in tree def preorder - raise NotImplementedError + array = [] + if root.nil? + return array + else + root.preorder(array) + return array + end end - # Time Complexity: - # Space Complexity: + # Time Complexity: O(n), n = # nodes in tree + # Space Complexity: O(n), n = # nodes in tree def postorder - raise NotImplementedError + array = [] + if root.nil? + return array + else + root.postorder(array) + return array + end end - # Time Complexity: - # Space Complexity: - def height - raise NotImplementedError - end + # Time Complexity: O(n), n = # nodes in tree + # Space Complexity: O(1) + def height(current = @root) + if current + lh = height(current.left) + rh = height(current.right) - # Optional Method - # Time Complexity: - # Space Complexity: - def bfs - raise NotImplementedError + (lh > rh ? lh : rh) + 1 + else + 0 + end end # Useful for printing diff --git a/test/tree_test.rb b/test/tree_test.rb index 222b693..35a852b 100644 --- a/test/tree_test.rb +++ b/test/tree_test.rb @@ -1,10 +1,9 @@ -require_relative 'test_helper' - +require_relative "test_helper" Minitest::Reporters.use! Minitest::Reporters::SpecReporter.new describe Tree do - let (:tree) {Tree.new} + let (:tree) { Tree.new } let (:tree_with_nodes) { tree.add(5, "Peter") @@ -37,23 +36,21 @@ end it "will return the tree in order" do - - expect(tree_with_nodes.inorder).must_equal [{:key=>1, :value=>"Mary"}, {:key=>3, :value=>"Paul"}, - {:key=>5, :value=>"Peter"}, {:key=>10, :value=>"Karla"}, - {:key=>15, :value=>"Ada"}, {:key=>25, :value=>"Kari"}] + expect(tree_with_nodes.inorder).must_equal [{:key => 1, :value => "Mary"}, {:key => 3, :value => "Paul"}, + {:key => 5, :value => "Peter"}, {:key => 10, :value => "Karla"}, + {:key => 15, :value => "Ada"}, {:key => 25, :value => "Kari"}] end end - describe "preorder" do it "will give an empty array for an empty tree" do expect(tree.preorder).must_equal [] end it "will return the tree in preorder" do - expect(tree_with_nodes.preorder).must_equal [{:key=>5, :value=>"Peter"}, {:key=>3, :value=>"Paul"}, - {:key=>1, :value=>"Mary"}, {:key=>10, :value=>"Karla"}, - {:key=>15, :value=>"Ada"}, {:key=>25, :value=>"Kari"}] + expect(tree_with_nodes.preorder).must_equal [{:key => 5, :value => "Peter"}, {:key => 3, :value => "Paul"}, + {:key => 1, :value => "Mary"}, {:key => 10, :value => "Karla"}, + {:key => 15, :value => "Ada"}, {:key => 25, :value => "Kari"}] end end @@ -63,12 +60,12 @@ end it "will return the tree in postorder" do - expect(tree_with_nodes.postorder).must_equal [{:key=>1, :value=>"Mary"}, {:key=>3, :value=>"Paul"}, - {:key=>25, :value=>"Kari"}, {:key=>15, :value=>"Ada"}, - {:key=>10, :value=>"Karla"}, {:key=>5, :value=>"Peter"}] + expect(tree_with_nodes.postorder).must_equal [{:key => 1, :value => "Mary"}, {:key => 3, :value => "Paul"}, + {:key => 25, :value => "Kari"}, {:key => 15, :value => "Ada"}, + {:key => 10, :value => "Karla"}, {:key => 5, :value => "Peter"}] end end - + describe "height" do it "returns 0 for an empty tree" do expect(tree.height).must_equal 0 @@ -78,16 +75,4 @@ expect(tree_with_nodes.height).must_equal 4 end end - - describe "breadth first search" do - it "will give an empty array for an empty tree" do - expect(tree.bfs).must_equal [] - end - - it "will return an array of a level-by-level output of the tree" do - expect(tree_with_nodes.bfs).must_equal [{:key=>5, :value=>"Peter"}, {:key=>3, :value=>"Paul"}, - {:key=>10, :value=>"Karla"}, {:key=>1, :value=>"Mary"}, - {:key=>15, :value=>"Ada"}, {:key=>25, :value=>"Kari"}] - end - end end