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binary-search-tree's Introduction

binary-search-tree

Build a balanced Binary Search Tree (BST)

Node class

  • has data(numerical value) attribute
  • has two children, left and right

Tree class

  • accepts array when initialized
  • has a root attribute

Methods within the tree class

  • build_tree method: takes an array and builds a balanced BST
  • insert: inserts a new node as a leaf of the current tree
  • delete: deletes a node, for nodes:
    • with no children: simply deletes the node
    • with 1 child: deletes the node and replaces it with it's child
    • with 2 children: replaces the node with the node with the next largest numerical value, then deletes that node
  • find: accepsts a value and returns the node with that value
  • level_order: can accept a block, searches the tree using breadth first search, returns an array
  • preorder, inorder, postorder: can accept a block, searches the tree using depth first search, returns an array
  • height: returns the height of the tree
  • depth: returns depth of the tree
  • balanced?: returns true if tree is balanced, else false
  • rebalance: rebalances an unbalanced tree

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