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| 1 | +# frozen_string_literal: true |
| 2 | + |
| 3 | +class BinarySearchTree |
| 4 | + class Node |
| 5 | + attr_accessor :left, :right, :value |
| 6 | + |
| 7 | + def initialize(value) |
| 8 | + @left = nil |
| 9 | + @right = nil |
| 10 | + @value = value |
| 11 | + end |
| 12 | + end |
| 13 | + |
| 14 | + def initialize |
| 15 | + @root = nil |
| 16 | + end |
| 17 | + |
| 18 | + attr_reader :root |
| 19 | + |
| 20 | + def insert(value) |
| 21 | + new_node = Node.new(value) |
| 22 | + |
| 23 | + if @root.nil? |
| 24 | + @root = new_node |
| 25 | + return self |
| 26 | + end |
| 27 | + |
| 28 | + current_node = @root |
| 29 | + |
| 30 | + loop do |
| 31 | + if value < current_node.value |
| 32 | + if current_node.left.nil? |
| 33 | + current_node.left = new_node |
| 34 | + return self |
| 35 | + end |
| 36 | + current_node = current_node.left |
| 37 | + else |
| 38 | + if current_node.right.nil? |
| 39 | + current_node.right = new_node |
| 40 | + return self |
| 41 | + end |
| 42 | + current_node = current_node.right |
| 43 | + end |
| 44 | + end |
| 45 | + |
| 46 | + self |
| 47 | + end |
| 48 | + |
| 49 | + def lookup(value) |
| 50 | + return nil if @root.nil? |
| 51 | + |
| 52 | + current_node = @root |
| 53 | + |
| 54 | + until current_node.nil? |
| 55 | + if value < current_node.value |
| 56 | + current_node = current_node.left |
| 57 | + elsif value > current_node.value |
| 58 | + current_node = current_node.right |
| 59 | + else |
| 60 | + return current_node |
| 61 | + end |
| 62 | + end |
| 63 | + |
| 64 | + nil |
| 65 | + end |
| 66 | + |
| 67 | + def remove(value) |
| 68 | + return false if @root.nil? |
| 69 | + |
| 70 | + current_node = @root |
| 71 | + parent_node = nil |
| 72 | + |
| 73 | + while current_node |
| 74 | + if value < current_node.value |
| 75 | + parent_node = current_node |
| 76 | + current_node = current_node.left |
| 77 | + elsif value > current_node.value |
| 78 | + parent_node = current_node |
| 79 | + current_node = current_node.right |
| 80 | + elsif current_node.value == value |
| 81 | + # We have a match, get to work! |
| 82 | + |
| 83 | + if current_node.right.nil? |
| 84 | + update_parent_link(parent_node, current_node, current_node.left) |
| 85 | + elsif current_node.right.left.nil? |
| 86 | + current_node.right.left = current_node.left |
| 87 | + update_parent_link(parent_node, current_node, current_node.right) |
| 88 | + else |
| 89 | + leftmost, leftmost_parent = find_leftmost(current_node.right) |
| 90 | + leftmost_parent.left = leftmost.right |
| 91 | + leftmost.left = current_node.left |
| 92 | + leftmost.right = current_node.right |
| 93 | + update_parent_link(parent_node, current_node, leftmost) |
| 94 | + end |
| 95 | + |
| 96 | + return true |
| 97 | + end |
| 98 | + end |
| 99 | + |
| 100 | + false |
| 101 | + end |
| 102 | + |
| 103 | + def traverse(node = @root) |
| 104 | + return nil if node.nil? |
| 105 | + |
| 106 | + tree = { value: node.value } |
| 107 | + tree[:left] = traverse(node.left) |
| 108 | + tree[:right] = traverse(node.right) |
| 109 | + |
| 110 | + tree |
| 111 | + end |
| 112 | + |
| 113 | + private |
| 114 | + |
| 115 | + def update_parent_link(parent_node, current_node, new_node) |
| 116 | + if parent_node.nil? |
| 117 | + @root = new_node |
| 118 | + elsif current_node.value < parent_node.value |
| 119 | + parent_node.left = new_node |
| 120 | + else |
| 121 | + parent_node.right = new_node |
| 122 | + end |
| 123 | + end |
| 124 | + |
| 125 | + def find_leftmost(node) |
| 126 | + leftmost = node.left |
| 127 | + leftmost_parent = node |
| 128 | + |
| 129 | + while leftmost.left |
| 130 | + leftmost_parent = leftmost |
| 131 | + leftmost = leftmost.left |
| 132 | + end |
| 133 | + |
| 134 | + [leftmost, leftmost_parent] |
| 135 | + end |
| 136 | +end |
| 137 | + |
| 138 | +RSpec.describe BinarySearchTree do |
| 139 | + let(:bst) { BinarySearchTree.new } |
| 140 | + |
| 141 | + before(:each) do |
| 142 | + # Construct the following tree: |
| 143 | + # |
| 144 | + # 9 |
| 145 | + # 4 20 |
| 146 | + # 1 6 15 170 |
| 147 | + # |
| 148 | + bst.insert(9) |
| 149 | + bst.insert(4) |
| 150 | + bst.insert(6) |
| 151 | + bst.insert(20) |
| 152 | + bst.insert(170) |
| 153 | + bst.insert(15) |
| 154 | + bst.insert(1) |
| 155 | + end |
| 156 | + |
| 157 | + describe "#insert" do |
| 158 | + it "adds a value to the tree" do |
| 159 | + expect(bst.traverse).to eq({ value: 9, |
| 160 | + left: { value: 4, |
| 161 | + left: { value: 1, left: nil, right: nil }, |
| 162 | + right: { value: 6, left: nil, right: nil } }, |
| 163 | + right: { value: 20, left: { value: 15, left: nil, right: nil }, |
| 164 | + right: { value: 170, left: nil, right: nil } } }) |
| 165 | + end |
| 166 | + end |
| 167 | + |
| 168 | + describe "#lookup" do |
| 169 | + it "finds a value in the tree" do |
| 170 | + node = bst.lookup(15) |
| 171 | + expect(node.value).to eq(15) |
| 172 | + end |
| 173 | + |
| 174 | + it "returns nil for a value not in the tree" do |
| 175 | + node = bst.lookup(100) |
| 176 | + expect(node).to be_nil |
| 177 | + end |
| 178 | + end |
| 179 | + |
| 180 | + describe "#remove" do |
| 181 | + it "removes a leaf node" do |
| 182 | + expect(bst.remove(1)).to be true |
| 183 | + |
| 184 | + expect(bst.traverse).to eq({ value: 9, |
| 185 | + left: { value: 4, left: nil, |
| 186 | + right: { value: 6, left: nil, right: nil } }, |
| 187 | + right: { value: 20, left: { value: 15, left: nil, right: nil }, |
| 188 | + right: { value: 170, left: nil, right: nil } } }) |
| 189 | + end |
| 190 | + |
| 191 | + it "removes a node with one child" do |
| 192 | + expect(bst.remove(20)).to be true |
| 193 | + |
| 194 | + expect(bst.traverse).to eq({ value: 9, |
| 195 | + left: { value: 4, left: { value: 1, left: nil, right: nil }, |
| 196 | + right: { value: 6, left: nil, right: nil } }, |
| 197 | + right: { value: 170, left: { value: 15, left: nil, right: nil }, |
| 198 | + right: nil } }) |
| 199 | + end |
| 200 | + |
| 201 | + it "removes a node with two children" do |
| 202 | + expect(bst.remove(4)).to be true |
| 203 | + |
| 204 | + expect(bst.traverse).to eq({ value: 9, |
| 205 | + left: { value: 6, left: { value: 1, left: nil, right: nil }, |
| 206 | + right: nil }, |
| 207 | + right: { value: 20, left: { value: 15, left: nil, right: nil }, |
| 208 | + right: { value: 170, left: nil, right: nil } } }) |
| 209 | + end |
| 210 | + |
| 211 | + it "returns false for a value not in the tree" do |
| 212 | + expect(bst.remove(100)).to be false |
| 213 | + end |
| 214 | + end |
| 215 | +end |
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