ruby - binary-search-tree
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ruby/binary-search-tree/README.md
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ruby/binary-search-tree/README.md
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# Binary Search Tree
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Insert and search for numbers in a binary tree.
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When we need to represent sorted data, an array does not make a good
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data structure.
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Say we have the array `[1, 3, 4, 5]`, and we add 2 to it so it becomes
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`[1, 3, 4, 5, 2]` now we must sort the entire array again! We can
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improve on this by realizing that we only need to make space for the new
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item `[1, nil, 3, 4, 5]`, and then adding the item in the space we
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added. But this still requires us to shift many elements down by one.
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Binary Search Trees, however, can operate on sorted data much more
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efficiently.
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A binary search tree consists of a series of connected nodes. Each node
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contains a piece of data (e.g. the number 3), a variable named `left`,
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and a variable named `right`. The `left` and `right` variables point at
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`nil`, or other nodes. Since these other nodes in turn have other nodes
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beneath them, we say that the left and right variables are pointing at
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subtrees. All data in the left subtree is less than or equal to the
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current node's data, and all data in the right subtree is greater than
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the current node's data.
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For example, if we had a node containing the data 4, and we added the
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data 2, our tree would look like this:
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4
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/
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2
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If we then added 6, it would look like this:
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4
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/ \
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2 6
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If we then added 3, it would look like this
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4
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/ \
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2 6
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\
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3
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And if we then added 1, 5, and 7, it would look like this
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4
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/ \
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/ \
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2 6
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/ \ / \
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1 3 5 7
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* * * *
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For installation and learning resources, refer to the
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[exercism help page](http://exercism.io/languages/ruby).
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For running the tests provided, you will need the Minitest gem. Open a
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terminal window and run the following command to install minitest:
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gem install minitest
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If you would like color output, you can `require 'minitest/pride'` in
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the test file, or note the alternative instruction, below, for running
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the test file.
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Run the tests from the exercise directory using the following command:
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ruby binary_search_tree_test.rb
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To include color from the command line:
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ruby -r minitest/pride binary_search_tree_test.rb
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## Source
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Josh Cheek [https://twitter.com/josh_cheek](https://twitter.com/josh_cheek)
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## Submitting Incomplete Solutions
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It's possible to submit an incomplete solution so you can see how others have completed the exercise.
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ruby/binary-search-tree/binary_search_tree.rb
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ruby/binary-search-tree/binary_search_tree.rb
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# class Bst
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class Bst
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attr_reader :data, :left, :right
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def initialize(data)
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@data = data
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end
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def insert(data)
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data <= @data ? insert_left(data) : insert_right(data)
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end
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def each(&block)
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return enum_for(:each) unless block_given?
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@left.each(&block) if left
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yield data
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@right.each(&block) if right
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end
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private
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def insert_left(data)
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@left ? @left.insert(data) : @left = self.class.new(data)
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end
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def insert_right(data)
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@right ? @right.insert(data) : @right = self.class.new(data)
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end
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end
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ruby/binary-search-tree/binary_search_tree_test.rb
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ruby/binary-search-tree/binary_search_tree_test.rb
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require 'minitest/autorun'
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require_relative 'binary_search_tree'
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class BstTest < Minitest::Test
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def test_data_is_retained
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assert_equal 4, Bst.new(4).data
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end
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def test_inserting_less
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# skip
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four = Bst.new 4
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four.insert 2
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assert_equal 4, four.data
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assert_equal 2, four.left.data
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end
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def test_inserting_same
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# skip
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four = Bst.new 4
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four.insert 4
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assert_equal 4, four.data
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assert_equal 4, four.left.data
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end
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def test_inserting_right
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# skip
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four = Bst.new 4
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four.insert 5
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assert_equal 4, four.data
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assert_equal 5, four.right.data
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end
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def test_complex_tree
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# skip
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four = Bst.new 4
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four.insert 2
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four.insert 6
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four.insert 1
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four.insert 3
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four.insert 7
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four.insert 5
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assert_equal 4, four.data
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assert_equal 2, four.left.data
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assert_equal 1, four.left.left.data
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assert_equal 3, four.left.right.data
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assert_equal 6, four.right.data
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assert_equal 5, four.right.left.data
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assert_equal 7, four.right.right.data
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end
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def record_all_data(bst)
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all_data = []
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bst.each { |data| all_data << data }
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all_data
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end
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def test_iterating_one_element
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# skip
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assert_equal [4], record_all_data(Bst.new(4))
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end
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def test_iterating_over_smaller_element
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# skip
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four = Bst.new 4
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four.insert 2
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assert_equal [2, 4], record_all_data(four)
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end
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def test_iterating_over_larger_element
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# skip
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four = Bst.new 4
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four.insert 5
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assert_equal [4, 5], record_all_data(four)
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end
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def test_iterating_over_complex_tree
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# skip
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four = Bst.new 4
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four.insert 2
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four.insert 1
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four.insert 3
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four.insert 6
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four.insert 7
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four.insert 5
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assert_equal [1, 2, 3, 4, 5, 6, 7], record_all_data(four)
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end
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def test_each_returns_enumerator_if_no_block
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# skip
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tree = Bst.new 4
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[2, 1, 3, 6, 7, 5].each { |x| tree.insert x }
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each_enumerator = tree.each
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assert_kind_of Enumerator, each_enumerator
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(1..7).each { |x| assert_equal(x, each_enumerator.next) }
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assert_raises(StopIteration) { each_enumerator.next }
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end
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end
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