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{"id":515,"date":"2021-07-13T17:58:10","date_gmt":"2021-07-13T17:58:10","guid":{"rendered":"https:\/\/www.wikitechy.com\/interview-questions\/?p=515"},"modified":"2021-09-13T06:13:34","modified_gmt":"2021-09-13T06:13:34","slug":"what-is-binary-search-tree","status":"publish","type":"post","link":"https:\/\/www.wikitechy.com\/interview-questions\/data-structure\/what-is-binary-search-tree\/","title":{"rendered":"What is Binary Search Tree ?"},"content":{"rendered":"<div class=\"TextHeading\">\n<div class=\"hddn\">\n<h2 id=\"what-is-binary-search-tree\" class=\"color-pink\" style=\"text-align: justify;\">What is binary search tree ?<\/h2>\n<\/div>\n<\/div>\n<div class=\"Content\" style=\"text-align: justify;\">\n<div class=\"hddn\">\n<ul>\n<li>The\u00a0<a href=\"https:\/\/www.wikitechy.com\/technology\/category\/data-structures\/binary-search-tree\/\" target=\"_blank\" rel=\"noopener\">Binary search tree<\/a>\u00a0is a node-based on the binary tree data structure has the following properties,\n<ul>\n<li>The left-side sub tree of a node contains only nodes with keys lesser than the node\u2019s key.<\/li>\n<li>The right-side sub tree of a node contains only nodes with keys greater than the node\u2019s key.<\/li>\n<li>The left-side and right-side subtree each must also be a binary search tree.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<div class=\"ImageContent\" style=\"text-align: justify;\">\n<div class=\"hddn\"><img decoding=\"async\" class=\"img-responsive center-block aligncenter\" src=\"https:\/\/cdn.wikitechy.com\/interview-questions\/data-structure\/what-is-binary-search-tree.gif\" alt=\"Binary Search Tree\" \/><\/div>\n<\/div>\n<div class=\"TextHeading\" style=\"text-align: justify;\">\n<div class=\"hddn\">\n<h2 id=\"binary-search-tree-traversing\" class=\"color-green\">Binary Search Tree Traversing<\/h2>\n<\/div>\n<\/div>\n<div class=\"Content\" style=\"text-align: justify;\">\n<div class=\"hddn\">\n<ul>\n<li><a href=\"https:\/\/www.wikitechy.com\/technology\/c-programming-tree-traversals-inorder-preorder-postorder\/\" target=\"_blank\" rel=\"noopener\">Pre-order<\/a>\u00a0traversal.<\/li>\n<li><a href=\"https:\/\/www.wikitechy.com\/technology\/java-programming-tree-traversals-inorder-preorder-postorder\/\" target=\"_blank\" rel=\"noopener\">Post-order<\/a>\u00a0traversal.<\/li>\n<li><a href=\"https:\/\/www.wikitechy.com\/technology\/python-programming-tree-traversals-inorder-preorder-postorder\/\" target=\"_blank\" rel=\"noopener\">In-order<\/a>\u00a0traversal.<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<div class=\"TextHeading\" style=\"text-align: justify;\">\n<div class=\"hddn\">\n<h2 id=\"pre-order-traversal\" class=\"color-purple\">Pre-order traversal<\/h2>\n<\/div>\n<\/div>\n<div class=\"Content\" style=\"text-align: justify;\">\n<div class=\"hddn\">\n<ul>\n<li>This traversal technique it may be traversal order is root-left-right.\n<ul>\n<li>Visit the node.<\/li>\n<li>Call itself to traverse the node&#8217;s left subtree.<\/li>\n<li>Call itself to traverse the node&#8217;s right subtree.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<div class=\"TextHeading\">\n<div class=\"hddn\">\n<h2 id=\"algoithm\" class=\"color-green\" style=\"text-align: justify;\">Algoithm<\/h2>\n<div class=\"code-embed-wrapper\"> <div class=\"code-embed-infos\"> <\/div> <pre class=\"language-markdown code-embed-pre line-numbers\"  data-start=\"1\" data-line-offset=\"0\"><code class=\"language-markdown code-embed-code\">preOrder (t)<br\/>     {<br\/>       if (t is not empty)<br\/>        {<br\/>              access the root element of t;<br\/>              preOrder (leftTree (t));<br\/>              preOrder (rightTree (t));<br\/>       } \/\/ if<br\/>    } \/\/ preOrder traversal<\/code><\/pre> <\/div>\n<div class=\"TextHeading\" style=\"text-align: justify;\">\n<div class=\"hddn\">\n<h2 id=\"post-order-traversal\" class=\"color-purple\">Post-order traversal<\/h2>\n<\/div>\n<\/div>\n<div class=\"Content\" style=\"text-align: justify;\">\n<div class=\"hddn\">\n<ul>\n<li>This traversal technique the traversal order is left-right-root.\n<ul>\n<li>Call itself to traverse the node&#8217;s left subtree.<\/li>\n<li>Call itself to traverse the node&#8217;s right subtree.<\/li>\n<li>Visit the node.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<div class=\"TextHeading\">\n<div class=\"hddn\">\n<h2 id=\"algoithm-2\" class=\"color-green\" style=\"text-align: justify;\">Algoithm<\/h2>\n<div class=\"code-embed-wrapper\"> <div class=\"code-embed-infos\"> <\/div> <pre class=\"language-markdown code-embed-pre line-numbers\"  data-start=\"1\" data-line-offset=\"0\"><code class=\"language-markdown code-embed-code\">postOrder (t)<br\/> { <br\/>   if (t is not empty) <br\/>    { <br\/>       postOrder(leftTree(t));<br\/>       postOrder(rightTree(t)); <br\/>       access the root element of t;<br\/>    } \/\/ if <br\/>} \/\/ postOrder traversal<\/code><\/pre> <\/div>\n<div class=\"TextHeading\" style=\"text-align: justify;\">\n<div class=\"hddn\">\n<h2 id=\"n-order-traversal\" class=\"color-purple\">n-order traversal<\/h2>\n<\/div>\n<\/div>\n<div class=\"Content\" style=\"text-align: justify;\">\n<div class=\"hddn\">\n<ul>\n<li>An\u00a0<a href=\"https:\/\/www.wikitechy.com\/technology\/python-programming-inorder-predecessor-successor-given-key-bst\/\" target=\"_blank\" rel=\"noopener\">in-order<\/a>\u00a0traversal of a binary search tree will cause all the nodes to be visited in ascending order, based on their key values. If you want to create a sorted list of the data in a binary tree, this is one way to do it.\n<ul>\n<li>Call itself to traverse the node&#8217;s left subtree.<\/li>\n<li>Visit the node.<\/li>\n<li>Call itself to traverse the node&#8217;s right subtree<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<div class=\"TextHeading\">\n<div class=\"hddn\">\n<h2 id=\"algoithm-3\" class=\"color-green\" style=\"text-align: justify;\">Algoithm<\/h2>\n<div class=\"code-embed-wrapper\"> <div class=\"code-embed-infos\"> <\/div> <pre class=\"language-markdown code-embed-pre line-numbers\"  data-start=\"1\" data-line-offset=\"0\"><code class=\"language-markdown code-embed-code\">private void inOrder(node localRoot) <br\/>{ <br\/>  if(localRoot != null) <br\/>   {<br\/>      inOrder(localRoot.leftChild);<br\/>      localRoot.displayNode(); <br\/>      inOrder(localRoot.rightChild); <br\/>   }<br\/> }<\/code><\/pre> <\/div>\n<p style=\"text-align: justify;\"><img decoding=\"async\" class=\"img-responsive center-block aligncenter\" src=\"https:\/\/cdn.wikitechy.com\/interview-questions\/data-structure\/binary-tree-traversing.png\" alt=\"Binary Tree Traversing\" \/><\/p>\n<div class=\"TextHeading\" style=\"text-align: justify;\">\n<div class=\"hddn\">\n<h2 id=\"advantages\" class=\"color-blue\">Advantages<\/h2>\n<\/div>\n<\/div>\n<div class=\"Content\" style=\"text-align: justify;\">\n<div class=\"hddn\">\n<ul>\n<li>Binary Search Tree is fast in insertion and deletion etc when balanced.<\/li>\n<li>It is very efficient and its code is easier than Linklists.<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<div class=\"TextHeading\" style=\"text-align: justify;\">\n<div class=\"hddn\">\n<h2 id=\"disadvantages\" class=\"color-blue\">Disadvantages<\/h2>\n<\/div>\n<\/div>\n<div class=\"Content\">\n<div class=\"hddn\">\n<ul>\n<li style=\"text-align: justify;\">The main disadvantage is that we should always implement a balanced binary search tree &#8211; AVL tree, Red-Black tree, Splay tree. Otherwise the cost of operations may not be logarithmic and degenerate into a linear search on an array.<\/li>\n<li style=\"text-align: justify;\">Shape of the tree depends upon order of insertion and it can be degenerated.<\/li>\n<li style=\"text-align: justify;\">Searching takes long time.<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Answer : The Binary search tree is a node-based on the binary tree data 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