{"id":1958,"date":"2020-07-01T09:47:07","date_gmt":"2020-07-01T09:47:07","guid":{"rendered":"https:\/\/blog.prepbytes.com\/?p=1958"},"modified":"2022-03-23T23:20:10","modified_gmt":"2022-03-23T23:20:10","slug":"k-overlapping-segment","status":"publish","type":"post","link":"https:\/\/prepbytes.com\/blog\/k-overlapping-segment\/","title":{"rendered":"K overlapping segment"},"content":{"rendered":"<p><img decoding=\"async\" src=\"https:\/\/prepbytes-misc-images.s3.ap-south-1.amazonaws.com\/assets\/1645101905752-Article_369.png\" alt=\"\" \/><\/p>\n<h3>Concepts Used:<\/h3>\n<blockquote>\n<p>Stack.<\/p>\n<\/blockquote>\n<h3>Difficulty Level:<\/h3>\n<blockquote>\n<p>Medium.<\/p>\n<\/blockquote>\n<h3>Problem Statement :<\/h3>\n<blockquote>\n<p>Arnab is hosting a party but he has only k seats. Guest have come at different times and leave at different times.Help Arnab find if there is k guest present at any time. If there is k or more people print Yes so that he may bring more chairs else print No.<br \/>\nGuest leave the chair after leaving time ,so at leaving time the chair is occupied.<br \/>\nSolve it using stack.<\/p>\n<\/blockquote>\n<p><a href=\"https:\/\/mycode.prepbytes.com\/problems\/stacks\/KSEGMEN\" title=\"Go to mycode.prepbytes.com\" target=\"_blank\" rel=\"noopener noreferrer\"><u><strong><\/strong><\/u><\/a><\/p>\n<h4>Example:<\/h4>\n<pre><code>Input:\n1\n3 3 \n1 2\n2 3\n2 4\n\nOutput:\nyes\n\nExplanation:\nAt time 1: only guest 1 is present.\nAt time 2: guests 1,2 and 3 are present .\nAt time 3: guest 2 and 3 are present.<\/code><\/pre>\n<h3>Solving Approach :<\/h3>\n<blockquote>\n<ol>\n<li>The idea is to make a vector of pair and store the starting point for every range as pair in this vector as (starting point, -1) and the ending point as (ending point, 1). <\/li>\n<li>Now, sort the vector then traverse the vector and if the current element is a starting point then push it in a stack and if it is an ending point then pop an element from the stack.<\/li>\n<li>If at any instance of time, the size of the stack is greater than or equal K then print Yes else print No in the end.<\/li>\n<\/ol>\n<\/blockquote>\n<h3>Solutions:<\/h3>\n<p>\t\t\t\t\t\t<style>\r\n\t\t\t\t\r\n\t\t\t\t\t#tab_container_1959 {\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_1959 .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_1959 .wpsm_nav-tabs {\r\n    border-bottom: 0px solid #ddd;\r\n}\r\n#tab_container_1959 .wpsm_nav-tabs > li.active > a, #tab_container_1959 .wpsm_nav-tabs > li.active > a:hover, #tab_container_1959 .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_1959 .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_1959 .wpsm_nav-tabs > li > a:focus {\r\noutline: 0px !important;\r\n}\r\n\r\n#tab_container_1959 .wpsm_nav-tabs > li > a:before {\r\n\tdisplay:none !important;\r\n}\r\n#tab_container_1959 .wpsm_nav-tabs > li > a:after {\r\n\tdisplay:none !important ;\r\n}\r\n#tab_container_1959 .wpsm_nav-tabs > li{\r\npadding:0px !important ;\r\nmargin:0px;\r\n}\r\n\r\n#tab_container_1959 .wpsm_nav-tabs > li > a:hover , #tab_container_1959 .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_1959 .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_1959 .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_1959 .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_1959 .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_1959 .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_1959 .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_1959 .wpsm_nav-tabs > li {\r\n\t\t\t\t\r\n\t}\r\n\t#tab_container_1959 .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_1959 .wpsm_nav-tabs > li {\r\n\t\t\t\t\r\n\t}\r\n\t#tab_container_1959 .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_1959 .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_1959\" >\r\n\t \r\n\t\t\t\t\t<ul class=\"wpsm_nav wpsm_nav-tabs\" role=\"tablist\" id=\"myTab_1959\">\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_1959_1\" aria-controls=\"tabs_desc_1959_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\r\n\t\t\t\t\t\t\t<li role=\"presentation\"  onclick=\"do_resize()\">\r\n\t\t\t\t\t\t\t\t<a href=\"#tabs_desc_1959_2\" aria-controls=\"tabs_desc_1959_2\" 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>Java<\/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\r\n\t\t\t\t\t\t\t<li role=\"presentation\"  onclick=\"do_resize()\">\r\n\t\t\t\t\t\t\t\t<a href=\"#tabs_desc_1959_3\" aria-controls=\"tabs_desc_1959_3\" 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>Python<\/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_1959\">\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_1959_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 &lt;bits\/stdc++.h&gt; \r\n    using namespace std; \r\n    bool sortby(const pair&lt;int, int&gt;&amp; a, \r\n            const pair&lt;int, int&gt;&amp; b) \r\n    { \r\n    if (a.first != b.first) \r\n        return a.first &lt; b.first; \r\n    return (a.second &lt; b.second); \r\n    } \r\n    bool kOverlap(vector&lt;pair&lt;int, int&gt; &gt; pairs, int k) \r\n    { \r\n    vector&lt;pair&lt;int, int&gt; &gt; vec; \r\n    for (int i = 0; i &lt; pairs.size(); i++) { \r\n\r\n        vec.push_back(make_pair( pairs[i].first, -1 )); \r\n        vec.push_back(make_pair( pairs[i].second, +1 )); \r\n    } \r\n    sort(vec.begin(), vec.end()); \r\n    stack&lt;pair&lt;int, int&gt; &gt; st; \r\n    for (int i = 0; i &lt; vec.size(); i++) { \r\n        pair&lt;int, int&gt; cur = vec[i]; \r\n        if (cur.second == -1) { \r\n            st.push(cur); \r\n        } \r\n        else { \r\n            st.pop(); \r\n        } \r\n        if (st.size() &gt;= k) { \r\n            return true; \r\n        } \r\n    } \r\n    return false; \r\n    } \r\n     int main()\r\n    {  \r\n    int t;\r\n    cin&gt;&gt;t;\r\n    while(t--)\r\n    {\r\n    int n,k;\r\n    cin&gt;&gt;n&gt;&gt;k;\r\n    vector&lt;pair&lt;int, int&gt; &gt; pairs; \r\n    int x,y;\r\n    for(int i=0;i&lt;n;i++)\r\n    {\r\n        cin&gt;&gt;x&gt;&gt;y;\r\n        pairs.push_back(make_pair(x,y));\r\n    }\r\n    if(kOverlap(pairs,k))\r\n    cout&lt;&lt;&quot;Yes&quot;&lt;&lt;endl;\r\n    else\r\n    {\r\n        cout&lt;&lt;&quot;No&quot;&lt;&lt;endl;\r\n    }\r\n    } \r\n    return 0;\r\n    }\r\n\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\t\t\t\t\t <div role=\"tabpanel\" class=\"tab-pane \" id=\"tabs_desc_1959_2\">\r\n\t\t\t\t\t\t\t\t<!-- wp:enlighter\/codeblock {\"language\":\"java\"} -->\r\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"java\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">\r\n import java.util.*;\r\n\r\n    class solution{ \r\n\r\n    public static class Pair{\r\n        int first;\r\n        int second;\r\n        Pair(int first,int second){\r\n            first=this.first;\r\n            second=this.second;\r\n        }\r\n    }\r\n\r\n    static boolean sortby(Pair p1,Pair p2) \r\n    { \r\n    if (p1.first != p2.first) \r\n        return p1.first &lt; p2.first; \r\n    return (p1.second &lt; p2.second); \r\n    } \r\n    static boolean kOverlap(ArrayList&lt;Pair&gt; pairs, int k) \r\n    { \r\n    ArrayList&lt;Pair&gt; vec=new ArrayList&lt;Pair&gt;();\r\n    for (int i = 0; i &lt; pairs.size(); i++) { \r\n\r\n        vec.add(new Pair(pairs.get(i).first, -1 )); \r\n        vec.add(new Pair(pairs.get(i).second, +1 )); \r\n    } \r\n    Collections.sort(vec, new Comparator&lt;Pair&gt;() {\r\n    @Override\r\n    public int compare(final Pair p1,final Pair p2) {\r\n        return p1.first-p2.first;\r\n    }\r\n    });\r\n    Stack&lt;Pair&gt; st=new Stack&lt;Pair&gt;(); \r\n    for (int i = 0; i &lt; vec.size(); i++) { \r\n        Pair cur = vec.get(i); \r\n        if (cur.second == -1) { \r\n            st.push(cur); \r\n        } \r\n        else { \r\n            st.pop(); \r\n        } \r\n        if (st.size() &gt;= k) { \r\n            return true; \r\n        } \r\n    } \r\n    return false; \r\n    } \r\n     public static void main (String[] args) {\r\n     Scanner sc=new Scanner(System.in);\r\n\r\n    int t=sc.nextInt();\r\n    while(t--&gt;0)\r\n    {\r\n    int n,k;\r\n    n=sc.nextInt();k=sc.nextInt();\r\n    ArrayList&lt;Pair&gt; pairs=new ArrayList&lt;Pair&gt;();\r\n    int x,y;\r\n    for(int i=0;i&lt;n;i++)\r\n    {\r\n        x=sc.nextInt();\r\n        y=sc.nextInt();\r\n        pairs.add(new Pair(x,y));\r\n    }\r\n    if(kOverlap(pairs,k)==true)\r\n    System.out.println(&quot;Yes&quot;);\r\n    else\r\n    {\r\n        System.out.println(&quot;No&quot;);\r\n    }\r\n    } \r\n    }\r\n     }\r\n\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\t\t\t\t\t <div role=\"tabpanel\" class=\"tab-pane \" id=\"tabs_desc_1959_3\">\r\n\t\t\t\t\t\t\t\t<!-- wp:enlighter\/codeblock {\"language\":\"Python\"} -->\r\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"Python\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">\r\n# your code goes here\r\ndef kOverlap(pairs, k):\r\n\t\r\n\tvec = []\r\n\t\r\n\tfor i in range(len(pairs)):\r\n\t\tvec.append([pairs[i][0], -1])\r\n\t\tvec.append([pairs[i][1], 1])\r\n\t\r\n\tvec.sort()\r\n\tst = []\r\n\t\r\n\tfor i in range(len(vec)):\r\n\t\r\n\t\tcur = vec[i]\r\n\t\r\n\t\tif cur[1] == -1:\r\n\t\t\tst.append(cur)\r\n\t\telse:\r\n\t\t\tst.pop()\r\n\t\r\n\t\tif len(st) &gt;= k:\r\n\t\t\treturn True\r\n\t\r\n\treturn False\r\n\r\nfor _ in range(int(input())):\r\n\t\r\n\tn, k = map(int,input().split())\r\n\tpairs = []\r\n\t\r\n\tfor i in range(n):\r\n\t\tpairs.append(list(map(int,input().split())))\r\n\t\r\n\tif kOverlap(pairs, k):\r\n\t\tprint(&quot;Yes&quot;)\r\n\telse:\r\n\t\tprint(&quot;No&quot;)\r\n<\/pre>\r\n<!-- \/wp:enlighter\/codeblock -->\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_1959 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_1959 a\"),jQuery(\"#tab-content_1959\"));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<br \/>\n[forminator_quiz id=&quot;1963&quot;]<\/p>\n<p>This article tried to discuss Stack. Hope this blog helps you understand and solve the problem. To practice more problems on Stack you can check out <a href=\"#\"><\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Concepts Used: Stack. Difficulty Level: Medium. Problem Statement : Arnab is hosting a party but he has only k seats. Guest have come at different times and leave at different times.Help Arnab find if there is k guest present at any time. If there is k or more people print Yes so that he may [&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":[127],"tags":[],"class_list":["post-1958","post","type-post","status-publish","format-standard","hentry","category-stacks"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.8 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Stacks | K Overlapping Segment | Prepbytes<\/title>\n<meta name=\"description\" content=\"The Idea Is to Make a Vector of Pair and Store the Starting Point for Every Range as Pair in This Vector as (starting Point, -1) and the Ending Point as (ending Point, 1).\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, 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