{"id":8646,"date":"2022-06-21T08:36:59","date_gmt":"2022-06-21T08:36:59","guid":{"rendered":"https:\/\/www.prepbytes.com\/blog\/?p=8646"},"modified":"2022-06-28T12:49:36","modified_gmt":"2022-06-28T12:49:36","slug":"skew-heap","status":"publish","type":"post","link":"https:\/\/prepbytes.com\/blog\/skew-heap\/","title":{"rendered":"Skew Heap"},"content":{"rendered":"<p><img decoding=\"async\" src=\"https:\/\/prepbytes-misc-images.s3.ap-south-1.amazonaws.com\/assets\/1655960796111-Article.jpg\" alt=\"\" \/><\/p>\n<h3>Skew Heap:<\/h3>\n<p>So basically, Skew Heap is a heap data structure implemented as a binary tree. Skew Heap has an advantage over binary trees as skew heaps merge more quickly than binary heaps. In contrast with binary heaps, there are no structural constraints, so there is no guarantee that the height of the tree is logarithmic. Only two conditions must be satisfied : <\/p>\n<ul>\n<li>In general, heap order must be there i.e. the value of the root node should be minimum and the same for the children of the root node, but a complete tree is not necessary.<\/li>\n<li>The main operation in the skew heap is merged, Also we can implement other operations too like insertion, extractMin, and so on using merge only.<\/li>\n<\/ul>\n<p><strong>A skew heap is a self-adjusting form of a heap.<\/strong><\/p>\n<h3>Properties of a skew heap:<\/h3>\n<ul>\n<li>A Heap that contains only one element is a skew heap.<\/li>\n<li>The result of merging two heaps will be a skew heap.<\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"https:\/\/prepbytes-misc-images.s3.ap-south-1.amazonaws.com\/assets\/1655960833920-Image-01.png\" alt=\"\" \/><\/p>\n<h3>Recursive Merge Approach:<\/h3>\n<ul>\n<li>We\u2019ll merge h1 and h2.<\/li>\n<li>Let h1 be the first skew heap and h2 be the second skew heap, in this example, we are assuming that the root of h1 is smaller than the root of h2.<\/li>\n<li>Swap h1-&gt;left with h2-&gt;right.<\/li>\n<li>Call the recursive function i.e. h1-&gt;left = merge(h2,h1-&gt;left).<\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"https:\/\/prepbytes-misc-images.s3.ap-south-1.amazonaws.com\/assets\/1655960862258-Image-02.png\" alt=\"\" \/><\/p>\n<h4>Code Implementation<\/h4>\n\t\t\t\t\t\t<style>\r\n\t\t\t\t\r\n\t\t\t\t\t#tab_container_8647 {\r\n\toverflow:hidden;\r\n\tdisplay:block;\r\n\twidth:100%;\r\n\tborder:0px solid #ddd;\r\n\tmargin-bottom:30px;\r\n\t}\r\n\r\n#tab_container_8647 .tab-content{\r\n\tpadding:20px;\r\n\tborder: 1px solid #e6e6e6 !important;\r\n\tmargin-top: 0px;\r\n\tbackground-color:#ffffff !important;\r\n\tcolor: #000000 !important;\r\n\tfont-size:16px !important;\r\n\tfont-family: Open Sans !important;\r\n\t\r\n\t\tborder: 1px solid #e6e6e6 !important;\r\n\t}\r\n#tab_container_8647 .wpsm_nav-tabs {\r\n    border-bottom: 0px solid #ddd;\r\n}\r\n#tab_container_8647 .wpsm_nav-tabs > li.active > a, #tab_container_8647 .wpsm_nav-tabs > li.active > a:hover, #tab_container_8647 .wpsm_nav-tabs > li.active > a:focus {\r\n\tcolor: #000000 !important;\r\n\tcursor: default;\r\n\tbackground-color: #ffffff !important;\r\n\tborder: 1px solid #e6e6e6 !important;\r\n}\r\n\r\n#tab_container_8647 .wpsm_nav-tabs > li > a {\r\n    margin-right: 0px !important; \r\n    line-height: 1.42857143 !important;\r\n    border: 1px solid #d5d5d5 !important;\r\n    border-radius: 0px 0px 0 0 !important; \r\n\tbackground-color: #e8e8e8 !important;\r\n\tcolor: #000000 !important;\r\n\tpadding: 15px 18px 15px 18px !important;\r\n\ttext-decoration: none !important;\r\n\tfont-size: 14px !important;\r\n\ttext-align:center !important;\r\n\tfont-family: Open Sans !important;\r\n}\r\n#tab_container_8647 .wpsm_nav-tabs > li > a:focus {\r\noutline: 0px !important;\r\n}\r\n\r\n#tab_container_8647 .wpsm_nav-tabs > li > a:before {\r\n\tdisplay:none !important;\r\n}\r\n#tab_container_8647 .wpsm_nav-tabs > li > a:after {\r\n\tdisplay:none !important ;\r\n}\r\n#tab_container_8647 .wpsm_nav-tabs > li{\r\npadding:0px !important ;\r\nmargin:0px;\r\n}\r\n\r\n#tab_container_8647 .wpsm_nav-tabs > li > a:hover , #tab_container_8647 .wpsm_nav-tabs > li > a:focus {\r\n    color: #000000 !important;\r\n    background-color: #e8e8e8 !important;\r\n\tborder: 1px solid #d5d5d5 !important;\r\n\t\r\n}\r\n#tab_container_8647 .wpsm_nav-tabs > li > a .fa{\r\n\r\nmargin-right:5px !important;\r\n\r\nmargin-left:5px !important;\r\n\r\n\r\n}\r\n\r\n\t\t#tab_container_8647 .wpsm_nav-tabs a{\r\n\t\t\tbackground-image: none;\r\n\t\t\tbackground-position: 0 0;\r\n\t\t\tbackground-repeat: repeat-x;\r\n\t\t}\r\n\t\t\t\r\n\r\n\r\n#tab_container_8647 .wpsm_nav-tabs > li {\r\n    float: left;\r\n    margin-bottom: -1px !important;\r\n\tmargin-right:0px !important; \r\n}\r\n\r\n\r\n#tab_container_8647 .tab-content{\r\noverflow:hidden !important;\r\n}\r\n\r\n\r\n@media (min-width: 769px) {\r\n\r\n\t#tab_container_8647 .wpsm_nav-tabs > li{\r\n\t\tfloat:left !important ;\r\n\t\t\t\tmargin-right:-1px !important;\r\n\t\t\t\t\t}\r\n\t#tab_container_8647 .wpsm_nav-tabs{\r\n\t\tfloat:none !important;\r\n\t\tmargin:0px !important;\r\n\t}\r\n\r\n\t#tab_container_8647 .wpsm_nav-tabs > li {\r\n\t\t\t\t\r\n\t}\r\n\t#tab_container_8647 .wpsm_nav{\r\n\t\t\t}\r\n\r\n}\r\n\r\n\r\n\r\n@media (max-width: 768px) {\r\n\t#tab_container_8647 .wpsm_nav-tabs > li {\r\n\t\t\t\t\r\n\t}\r\n\t#tab_container_8647 .wpsm_nav{\r\n\t\t\t}\r\n}\r\n\r\n\r\n\t.wpsm_nav-tabs li:before{\r\n\t\tdisplay:none !important;\r\n\t}\r\n\r\n\t@media (max-width: 768px) {\r\n\t\t\t\t\r\n\t\t\t\t.wpsm_nav-tabs{\r\n\t\t\tmargin-left:0px !important;\r\n\t\t\tmargin-right:0px !important; \r\n\t\t\t\r\n\t\t}\r\n\t\t\t\t#tab_container_8647 .wpsm_nav-tabs > li{\r\n\t\t\tfloat:none !important;\r\n\t\t}\r\n\t\t\t\r\n\t}\t\t\t\t<\/style>\r\n\t\t\t\t<div id=\"tab_container_8647\" >\r\n\t \r\n\t\t\t\t\t<ul class=\"wpsm_nav wpsm_nav-tabs\" role=\"tablist\" id=\"myTab_8647\">\r\n\t\t\t\t\t\t\t\r\n\t\t\t\t\t\t\t<li role=\"presentation\"  class=\"active\"  onclick=\"do_resize()\">\r\n\t\t\t\t\t\t\t\t<a href=\"#tabs_desc_8647_1\" aria-controls=\"tabs_desc_8647_1\" role=\"tab\" data-toggle=\"tab\">\r\n\t\t\t\t\t\t\t\t\t\r\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<i class=\"fa fa-code\"><\/i> \t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\r\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\r\n\t\t\t\t\t\t\t\t\t<span>C++<\/span>\r\n\t\t\t\t\t\t\t\t\t\r\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\r\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\r\n\t\t\t\t\t\t\t\t\t\r\n\t\t\t\t\t\t\t\t<\/a>\r\n\t\t\t\t\t\t\t<\/li>\r\n\t\t\t\t\t\t\t\t\t\t\t <\/ul>\r\n\r\n\t\t\t\t\t  <!-- Tab panes -->\r\n\t\t\t\t\t  <div class=\"tab-content\" id=\"tab-content_8647\">\r\n\t\t\t\t\t\t\t\t\t\t\t\t <div role=\"tabpanel\" class=\"tab-pane  in active \" id=\"tabs_desc_8647_1\">\r\n\t\t\t\t\t\t\t\t<!-- wp:enlighter\/codeblock {\"language\":\"cpp\"} -->\r\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"cpp\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">\r\n#include <bits\/stdc++.h>\r\nusing namespace std;\r\n \r\nstruct SkewHeap\r\n{\r\n    int key;\r\n    SkewHeap* right;\r\n    SkewHeap* left;\r\n \r\n    SkewHeap()\r\n    {\r\n        key = 0;\r\n        right = NULL;\r\n        left = NULL;\r\n    }\r\n \r\n   \r\n    SkewHeap* merge(SkewHeap* h1, SkewHeap* h2)\r\n    {\r\n        \r\n        if (h1 == NULL)\r\n            return h2;\r\n        if (h2 == NULL)\r\n            return h1;\r\n \r\n        \r\n        if (h1->key > h2->key)\r\n           swap(h1, h2);\r\n \r\n        \r\n        swap(h1->left, h1->right);\r\n \r\n        h1->left = merge(h2, h1->left);\r\n \r\n        return h1;\r\n    }\r\n \r\n   \r\n    SkewHeap* construct(SkewHeap* root,\r\n                     int heap[], int n)\r\n    {\r\n        SkewHeap* temp;\r\n        for (int i = 0; i < n; i++) {\r\n            temp = new SkewHeap;\r\n            temp->key = heap[i];\r\n            root = merge(root, temp);\r\n        }\r\n        return root;\r\n    }\r\n \r\n    void inorder(SkewHeap* root)\r\n    {\r\n        if (root == NULL)\r\n            return;\r\n        else {\r\n            inorder(root->left);\r\n            cout << root->key << \"  \";\r\n            inorder(root->right);\r\n        }\r\n        return;\r\n    }\r\n};\r\n \r\nint main()\r\n{\r\n    SkewHeap heap, *temp1 = NULL,\r\n                   *temp2 = NULL;\r\n    \r\n    int heap1[] = { 12, 5, 10 };\r\n    \r\n    int heap2[] = { 3, 7, 8, 14};\r\n    int n1 = sizeof(heap1) \/ sizeof(heap1[0]);\r\n    int n2 = sizeof(heap2) \/ sizeof(heap2[0]);\r\n    temp1 = heap.construct(temp1, heap1, n1);\r\n    temp2 = heap.construct(temp2, heap2, n2);\r\n \r\n   \r\n    temp1 = heap.merge(temp1, temp2);\r\n   \r\n    cout << \"Merged Heap is: \" << endl;\r\n    heap.inorder(temp1);\r\n}\r\n<\/pre>\r\n<!-- \/wp:enlighter\/codeblock -->\r\n\r\n\t\t\t\t\t\t <\/div>\r\n\t\t\t\t\t\t\t\r\n\t\t\t\t\t <\/div>\r\n\t\t\t\t\t \r\n\t\t\t\t <\/div>\r\n <script>\r\n\t\tjQuery(function () {\r\n\t\t\tjQuery('#myTab_8647 a:first').tab('show')\r\n\t\t});\r\n\t\t\r\n\t\t\t\tjQuery(function(){\r\n\t\t\tvar b=\"fadeIn\";\r\n\t\t\tvar c;\r\n\t\t\tvar a;\r\n\t\t\td(jQuery(\"#myTab_8647 a\"),jQuery(\"#tab-content_8647\"));function d(e,f,g){\r\n\t\t\t\te.click(function(i){\r\n\t\t\t\t\ti.preventDefault();\r\n\t\t\t\t\tjQuery(this).tab(\"show\");\r\n\t\t\t\t\tvar h=jQuery(this).data(\"easein\");\r\n\t\t\t\t\tif(c){c.removeClass(a);}\r\n\t\t\t\t\tif(h){f.find(\"div.active\").addClass(\"animated \"+h);a=h;}\r\n\t\t\t\t\telse{if(g){f.find(\"div.active\").addClass(\"animated \"+g);a=g;}else{f.find(\"div.active\").addClass(\"animated \"+b);a=b;}}c=f.find(\"div.active\");\r\n\t\t\t\t});\r\n\t\t\t}\r\n\t\t});\r\n\t\t\r\n\r\n\t\tfunction do_resize(){\r\n\r\n\t\t\tvar width=jQuery( '.tab-content .tab-pane iframe' ).width();\r\n\t\t\tvar height=jQuery( '.tab-content .tab-pane iframe' ).height();\r\n\r\n\t\t\tvar toggleSize = true;\r\n\t\t\tjQuery('iframe').animate({\r\n\t\t\t    width: toggleSize ? width : 640,\r\n\t\t\t    height: toggleSize ? height : 360\r\n\t\t\t  }, 250);\r\n\r\n\t\t\t  toggleSize = !toggleSize;\r\n\t\t}\r\n\r\n\r\n\t<\/script>\r\n\t\t\t\t\r\n\t\t\t\n<p>This article tried to discuss the <strong>Implementation of skew heap<\/strong>. Hope this blog helps you understand the concept. To practice problems on Heap you can check out <a href=\"#\/heaps\"> &#8211; Heaps<\/a> at <a href=\"https:\/\/www.prepbytes.com\/\"> Prepbytes<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Skew Heap: So basically, Skew Heap is a heap data structure implemented as a binary tree. Skew Heap has an advantage over binary trees as skew heaps merge more quickly than binary heaps. In contrast with binary heaps, there are no structural constraints, so there is no guarantee that the height of the tree is [&hellip;]<\/p>\n","protected":false},"author":52,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[131],"tags":[175],"class_list":["post-8646","post","type-post","status-publish","format-standard","hentry","category-heap","tag-heap"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.8 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Implementation of skew heap | Heap | Python<\/title>\n<meta name=\"description\" content=\"In this article we&#039;ll be looking at the skew heap data structure. 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