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Earth/Taylor #33
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Earth/Taylor #33
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Original file line number | Diff line number | Diff line change |
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@@ -1,3 +1,5 @@ | ||
require_relative '../../stacks-queues/lib/queue' | ||
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class TreeNode | ||
attr_reader :key, :value | ||
attr_accessor :left, :right | ||
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@@ -11,52 +13,112 @@ def initialize(key, val) | |
end | ||
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class Tree | ||
attr_reader :root | ||
attr_reader :root, :size | ||
def initialize | ||
@root = nil | ||
@size = 0 | ||
end | ||
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# Time Complexity: | ||
# Space Complexity: | ||
# Time Complexity: O(n) | ||
# Space Complexity: O(1) | ||
def add(key, value) | ||
raise NotImplementedError | ||
if @root.nil? | ||
@root = TreeNode.new(key, value) | ||
else | ||
current = @root | ||
prev = @root | ||
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while current | ||
prev = current | ||
if key < current.key | ||
current = current.left | ||
else | ||
current = current.right | ||
end | ||
end | ||
if key < prev.key | ||
prev.left = TreeNode.new(key, value) | ||
else | ||
prev.right = TreeNode.new(key, value) | ||
end | ||
end | ||
@size += 1 | ||
end | ||
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# Time Complexity: | ||
# Space Complexity: | ||
# Time Complexity: worst case: O(n), best case: O(log n) | ||
# Space Complexity: O(1) | ||
def find(key) | ||
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raise NotImplementedError | ||
current = @root | ||
while current | ||
if current.key == key | ||
return current.value | ||
elsif key > current.key | ||
current = current.right | ||
else | ||
current = current.left | ||
end | ||
end | ||
return nil | ||
end | ||
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# Time Complexity: | ||
# Space Complexity: | ||
def inorder | ||
raise NotImplementedError | ||
# Time Complexity: O(n) | ||
# Space Complexity: O(n) | ||
def inorder(array=[], current=@root) | ||
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return array if current == nil | ||
inorder(array, current.left) | ||
array << {key: current.key, value: current.value} | ||
inorder(array, current.right) | ||
end | ||
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# Time Complexity: | ||
# Space Complexity: | ||
def preorder | ||
raise NotImplementedError | ||
# Time Complexity: O(n) | ||
# Space Complexity: O(n) | ||
def preorder(array=[],current=@root) | ||
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return array if current.nil? | ||
array << {key: current.key, value: current.value} | ||
preorder(array, current.left) | ||
preorder(array, current.right) | ||
end | ||
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# Time Complexity: | ||
# Space Complexity: | ||
def postorder | ||
raise NotImplementedError | ||
# Time Complexity: O(n) | ||
# Space Complexity: O(n) | ||
def postorder(array=[], current=@root) | ||
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return array if current.nil? | ||
postorder(array, current.left) | ||
postorder(array, current.right) | ||
array << {key: current.key, value: current.value} | ||
end | ||
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# Time Complexity: | ||
# Space Complexity: | ||
def height | ||
raise NotImplementedError | ||
# Time Complexity: O(n) | ||
# Space Complexity: O(n) | ||
def height(current=@root) | ||
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There was a problem hiding this comment. Choose a reason for hiding this commentThe reason will be displayed to describe this comment to others. Learn more. 👍 The space complexity is O(log n) if the tree is balanced and O(n) if it isn't. |
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return 0 if current.nil? | ||
return 1 if current.right.nil? && current.left.nil? | ||
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left_count = 0 | ||
right_count = 0 | ||
left_count += 1 + height(current.left) | ||
right_count += 1 + height(current.right) | ||
left_count > right_count ? left_count : right_count | ||
end | ||
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# Optional Method | ||
# Time Complexity: | ||
# Space Complexity: | ||
# Time Complexity: O(n) | ||
# Space Complexity: O(n) | ||
def bfs | ||
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raise NotImplementedError | ||
array = [] | ||
return array if @root.nil? | ||
queue = [@root] | ||
while !queue.empty? | ||
current = queue.shift | ||
array << {key: current.key, value: current.value} | ||
unless current.left.nil? | ||
queue.push(current.left) | ||
end | ||
unless current.right.nil? | ||
queue.push(current.right) | ||
end | ||
end | ||
return array | ||
end | ||
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# Useful for printing | ||
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@@ -91,7 +91,7 @@ | |
it "will return 1 for a tree of height 1" do | ||
my_tree = Tree.new | ||
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my_tree.add(100) | ||
my_tree.add(100, "bruno") | ||
expect(my_tree.height).must_equal 1 | ||
end | ||
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@@ -102,23 +102,23 @@ | |
it "will report the height for unbalanced trees" do | ||
my_tree = Tree.new | ||
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my_tree.add(100) | ||
my_tree.add(110) | ||
my_tree.add(120) | ||
my_tree.add(130) | ||
my_tree.add(140) | ||
my_tree.add(100, "bella") | ||
my_tree.add(110, "rocky") | ||
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There was a problem hiding this comment. Choose a reason for hiding this commentThe reason will be displayed to describe this comment to others. Learn more. This works, but you can also make the value an optional parameter. |
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my_tree.add(120, "snowball") | ||
my_tree.add(130, "mr. whiskers") | ||
my_tree.add(140, "bebe") | ||
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expect(my_tree.height).must_equal 5 | ||
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my_tree = Tree.new | ||
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my_tree = Tree.new | ||
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my_tree.add(100) | ||
my_tree.add(90) | ||
my_tree.add(80) | ||
my_tree.add(70) | ||
my_tree.add(60) | ||
my_tree.add(100, "bruno") | ||
my_tree.add(90, "bella") | ||
my_tree.add(80, "arbor") | ||
my_tree.add(70, "teal") | ||
my_tree.add(60, "josh") | ||
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expect(my_tree.height).must_equal 5 | ||
end | ||
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👍