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162 lines
3.6 KiB
Ruby
162 lines
3.6 KiB
Ruby
=begin
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File: binary_search_tree.rb
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Created Time: 2024-04-18
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Author: Xuan Khoa Tu Nguyen (ngxktuzkai2000@gmail.com)
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=end
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require_relative '../utils/tree_node'
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require_relative '../utils/print_util'
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### Binary search tree ###
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class BinarySearchTree
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### Constructor ###
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def initialize
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# Initialize empty tree
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@root = nil
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end
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### Get binary tree root node ###
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def get_root
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@root
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end
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### Search node ###
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def search(num)
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cur = @root
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# Loop search, exit after passing leaf node
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while !cur.nil?
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# Target node is in cur's right subtree
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if cur.val < num
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cur = cur.right
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# Target node is in cur's left subtree
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elsif cur.val > num
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cur = cur.left
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# Found target node, exit loop
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else
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break
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end
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end
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cur
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end
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### Insert node ###
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def insert(num)
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# If tree is empty, initialize root node
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if @root.nil?
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@root = TreeNode.new(num)
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return
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end
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# Loop search, exit after passing leaf node
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cur, pre = @root, nil
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while !cur.nil?
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# Found duplicate node, return directly
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return if cur.val == num
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pre = cur
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# Insertion position is in cur's right subtree
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if cur.val < num
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cur = cur.right
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# Insertion position is in cur's left subtree
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else
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cur = cur.left
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end
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end
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# Insert node
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node = TreeNode.new(num)
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if pre.val < num
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pre.right = node
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else
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pre.left = node
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end
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end
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### Delete node ###
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def remove(num)
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# If tree is empty, return directly
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return if @root.nil?
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# Loop search, exit after passing leaf node
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cur, pre = @root, nil
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while !cur.nil?
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# Found node to delete, exit loop
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break if cur.val == num
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pre = cur
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# Node to delete is in cur's right subtree
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if cur.val < num
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cur = cur.right
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# Node to delete is in cur's left subtree
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else
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cur = cur.left
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end
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end
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# If no node to delete, return directly
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return if cur.nil?
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# Number of child nodes = 0 or 1
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if cur.left.nil? || cur.right.nil?
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# When number of child nodes = 0 / 1, child = null / that child node
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child = cur.left || cur.right
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# Delete node cur
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if cur != @root
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if pre.left == cur
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pre.left = child
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else
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pre.right = child
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end
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else
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# If deleted node is root node, reassign root node
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@root = child
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end
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# Number of child nodes = 2
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else
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# Get next node of cur in inorder traversal
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tmp = cur.right
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while !tmp.left.nil?
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tmp = tmp.left
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end
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# Recursively delete node tmp
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remove(tmp.val)
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# Replace cur with tmp
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cur.val = tmp.val
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end
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end
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end
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### Driver Code ###
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if __FILE__ == $0
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# Initialize binary search tree
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bst = BinarySearchTree.new
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nums = [8, 4, 12, 2, 6, 10, 14, 1, 3, 5, 7, 9, 11, 13, 15]
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# Please note that different insertion orders will generate different binary trees, this sequence can generate a perfect binary tree
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nums.each { |num| bst.insert(num) }
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puts "\nInitialized binary tree is\n"
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print_tree(bst.get_root)
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# Search node
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node = bst.search(7)
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puts "\nFound node object: #{node}, node value = #{node.val}"
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# Insert node
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bst.insert(16)
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puts "\nAfter inserting node 16, binary tree is\n"
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print_tree(bst.get_root)
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# Remove node
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bst.remove(1)
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puts "\nAfter removing node 1, binary tree is\n"
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print_tree(bst.get_root)
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bst.remove(2)
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puts "\nAfter removing node 2, binary tree is\n"
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print_tree(bst.get_root)
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bst.remove(4)
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puts "\nAfter removing node 4, binary tree is\n"
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print_tree(bst.get_root)
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end
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