{"id":833,"date":"2012-03-17T00:05:46","date_gmt":"2012-03-17T00:05:46","guid":{"rendered":"http:\/\/41j.com\/blog\/?p=833"},"modified":"2012-03-17T00:05:46","modified_gmt":"2012-03-17T00:05:46","slug":"heap-maxheap-implementation","status":"publish","type":"post","link":"https:\/\/41j.com\/blog\/2012\/03\/heap-maxheap-implementation\/","title":{"rendered":"Heap (maxheap) implementation"},"content":{"rendered":"<p>A simple, rough and ready, maxheap implementation. It uses an vector as an implicit complete binary tree:<\/p>\n<pre class=\"brush: cpp; title: ; notranslate\" title=\"\">\r\n#include &lt;iostream&gt;\r\n#include &lt;stdlib.h&gt;\r\n#include &lt;vector&gt;\r\n#include &lt;algorithm&gt;\r\n#include &lt;limits.h&gt;\r\n\r\nusing namespace std;\r\n\r\nclass Heap {\r\n\r\npublic:\r\n\r\n  Heap() {\r\n    store.push_back(0);\r\n  }\r\n\r\n  int l_child(int idx) {\r\n    return idx*2;\r\n  }\r\n\r\n  int r_child(int idx) {\r\n    return (idx*2)+1;\r\n  }\r\n\r\n  int get_parent(int idx) {\r\n    return (idx\/2);\r\n  }\r\n\r\n  void insert(int val) {\r\n    store.push_back(val);\r\n\r\n    int idx = store.size()-1;\r\n\r\n    if(idx == 1) return;\r\n\r\n    \/\/ bubble up\r\n    for(;store&#x5B;get_parent(idx)] &lt; store&#x5B;idx];) {\r\n      int t = store&#x5B;get_parent(idx)];\r\n      store&#x5B;get_parent(idx)] = val;\r\n      store&#x5B;idx] = t;\r\n      idx = get_parent(idx);\r\n      if(get_parent(idx) == 0) break;\r\n    }\r\n  }\r\n\r\n  void dump() {\r\n    cout &lt;&lt; &quot;DUMPSTART&quot; &lt;&lt; endl;\r\n    for(size_t n=0;n&lt;store.size();n++) {\r\n      cout &lt;&lt; store&#x5B;n] &lt;&lt; endl;\r\n    }\r\n    cout &lt;&lt; &quot;DUMPEND&quot; &lt;&lt; endl;\r\n  }\r\n\r\n  int pop() {\r\n    int r = store&#x5B;1];\r\n\r\n    store&#x5B;1] = store&#x5B;store.size()-1];\r\n    store.pop_back();\r\n\r\n    bool min=true;\r\n    int idx = 1;\r\n    for(;min==true;) {\r\n\r\n      min=false;\r\n\r\n      int lidx = l_child(idx);\r\n      int ridx = r_child(idx);\r\n \r\n      int lval;\r\n      int rval;\r\n      if(lidx &lt; store.size()) lval = store&#x5B;lidx]; else lval = INT_MIN;\r\n      if(ridx &lt; store.size()) rval = store&#x5B;ridx]; else rval = INT_MIN;\r\n\r\n      if(store&#x5B;idx] &lt; lval) { min=true; }\r\n      if(store&#x5B;idx] &lt; rval) { min=true; }\r\n\r\n      if(!min) break;\r\n\r\n      int t = store&#x5B;idx];\r\n      if(lval &gt; rval) {\r\n        store&#x5B;idx] = store&#x5B;l_child(idx)];\r\n        store&#x5B;l_child(idx)] = t;\r\n        idx = l_child(idx);\r\n      } else {\r\n        store&#x5B;idx] = store&#x5B;r_child(idx)];\r\n        store&#x5B;r_child(idx)] = t;\r\n        idx = r_child(idx);\r\n      }\r\n    }\r\n    return r;\r\n  }\r\n\r\n  vector&lt;int&gt; store;\r\n};\r\n\r\nint main() {\r\n\r\n  vector&lt;int&gt; testdata;\r\n\r\n  for(size_t n=0;n&lt;10;n++) testdata.push_back(rand()%20);\r\n\r\n  Heap myheap;\r\n  for(size_t n=0;n&lt;testdata.size();n++) myheap.insert(testdata&#x5B;n]);\r\n\r\n  cout &lt;&lt; &quot;popping heap:&quot; &lt;&lt; endl;\r\n  for(size_t n=0;n&lt;testdata.size();n++) cout &lt;&lt; myheap.pop() &lt;&lt; endl;\r\n\r\n  cout &lt;&lt; &quot;sorted testdata:&quot; &lt;&lt; endl;\r\n  sort(testdata.rbegin(),testdata.rend());\r\n  for(size_t n=0;n&lt;testdata.size();n++) cout &lt;&lt; testdata&#x5B;n] &lt;&lt; endl;\r\n \r\n  cout &lt;&lt; &quot;second test: &quot; &lt;&lt; endl;\r\n  Heap myheap2; \r\n  for(size_t n=0;n&lt;testdata.size();n++) myheap2.insert(testdata&#x5B;n]);\r\n  for(size_t n=0;n&lt;(testdata.size()\/2);n++) cout &lt;&lt; myheap2.pop() &lt;&lt; endl;\r\n  myheap2.insert(100);\r\n  myheap2.insert(7);\r\n  for(size_t n=0;n&lt;(testdata.size()\/2)+2;n++) cout &lt;&lt; myheap2.pop() &lt;&lt; endl;\r\n\r\n}\r\n<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>A simple, rough and ready, maxheap implementation. It uses an vector as an implicit complete binary tree: #include &lt;iostream&gt; #include &lt;stdlib.h&gt; #include &lt;vector&gt; #include &lt;algorithm&gt; #include &lt;limits.h&gt; using namespace std; class Heap { public: Heap() { store.push_back(0); } int l_child(int idx) { return idx*2; } int r_child(int idx) { return (idx*2)+1; } int get_parent(int idx) [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[1],"tags":[],"class_list":["post-833","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p1RRoU-dr","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/41j.com\/blog\/wp-json\/wp\/v2\/posts\/833","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/41j.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/41j.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/41j.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/41j.com\/blog\/wp-json\/wp\/v2\/comments?post=833"}],"version-history":[{"count":1,"href":"https:\/\/41j.com\/blog\/wp-json\/wp\/v2\/posts\/833\/revisions"}],"predecessor-version":[{"id":834,"href":"https:\/\/41j.com\/blog\/wp-json\/wp\/v2\/posts\/833\/revisions\/834"}],"wp:attachment":[{"href":"https:\/\/41j.com\/blog\/wp-json\/wp\/v2\/media?parent=833"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/41j.com\/blog\/wp-json\/wp\/v2\/categories?post=833"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/41j.com\/blog\/wp-json\/wp\/v2\/tags?post=833"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}