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tree.rb
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tree.rb
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require_relative 'node'
class Tree
attr_reader :root
def initialize(array = [])
self.root = build_tree(array)
end
def build_tree(arr)
return nil if arr.empty?
array = simplify_array(arr)
midpoint = array.length / 2
data = array.delete_at(midpoint)
halves = halve_array(array)
left = build_tree(halves[0])
right = build_tree(halves[1])
Node.new(data: data, left: left, right: right)
end
def simplify_array(arr)
arr.sort.uniq
end
def halve_array(arr)
arr.length <= 1 ? [arr, []] : arr.each_slice((arr.length / 2.0).round).to_a
end
def insert(data)
node = Node.new(data: data)
unless root
self.root = node
return self
end
cur = prev = root
while cur
return puts "#{data} already in Tree" if cur == node
prev = cur
cur = data < cur.data ? cur.left : cur.right
end
if node < prev
prev.left = node
else
prev.right = node
end
self
end
def delete(data)
return nil unless root
cur = prev = root
until cur.data == data
prev = cur
cur = data < cur.data ? cur.left : cur.right
return puts "#{data} is not in Tree" unless cur
end
if cur.leaf?
cur < prev ? prev.left = nil : prev.right = nil
elsif cur.left.nil? || cur.right.nil?
if cur < prev
prev.left = cur.left || cur.right
else
prev.right = cur.left || cur.right
end
else
new_data = inorder_successor(data)
delete(new_data)
cur.data = new_data
end
self
end
def inorder_successor(data)
node = find(data)
return nil if node.right.nil?
node = node.right
node = node.left until node.left.nil?
node.data
end
def find(data)
return self unless root
cur = root
until cur.data == data
cur = data < cur.data ? cur.left : cur.right
return nil unless cur
end
cur
end
def level_order
result = []
return result unless root
queue = [root]
until queue.empty?
node = queue.pop
queue.unshift(node.left) unless node.left.nil?
queue.unshift(node.right) unless node.right.nil?
result << node.data
end
result
end
def inorder
result = []
return result unless root
stack = []
cur = root
until cur.nil? && stack.empty?
until cur.nil?
stack.push(cur)
cur = cur.left
end
cur = stack.pop
result << cur.data
cur = cur.right
end
result
end
def preorder
result = []
return result unless root
stack = [root]
until stack.empty?
node = stack.pop
result << node.data
stack << node.right unless node.right.nil?
stack << node.left unless node.left.nil?
end
result
end
def postorder
result = []
return result unless root
stack1 = [root]
stack2 = []
until stack1.empty?
node = stack1.pop
stack2 << node
stack1 << node.left unless node.left.nil?
stack1 << node.right unless node.right.nil?
end
result << stack2.pop.data until stack2.empty?
result
end
def height(node = root)
queue = [node]
height = 0
return height unless node
loop do
node_count = queue.size
return height if node_count.zero?
height += 1
until node_count.zero?
node = queue.pop
queue.unshift(node.left) unless node.left.nil?
queue.unshift(node.right) unless node.right.nil?
node_count -= 1
end
end
end
def depth(node)
depth = 0
return 0 unless node
cur = root
until cur == node
cur = node.data < cur.data ? cur.left : cur.right
depth += 1
end
depth
end
def balanced?
return true unless root
stack = [root]
until stack.empty?
node = stack.pop
return false if (height(node.left) - height(node.right)).abs > 1
stack << node.right unless node.right.nil?
stack << node.left unless node.left.nil?
end
true
end
def rebalance
self.root = build_tree(level_order)
self
end
# Taken from TOP project page
def pretty_print(node = root, prefix = '', is_left = true)
pretty_print(node.right, "#{prefix}#{is_left ? '│ ' : ' '}", false) if node.right
puts "#{prefix}#{is_left ? '└── ' : '┌── '}#{node.data}"
pretty_print(node.left, "#{prefix}#{is_left ? ' ' : '│ '}", true) if node.left
end
private
attr_writer :root
end