{"id":10071,"date":"2022-09-28T11:24:03","date_gmt":"2022-09-28T11:24:03","guid":{"rendered":"https:\/\/www.prepbytes.com\/blog\/?p=10071"},"modified":"2022-10-10T09:41:24","modified_gmt":"2022-10-10T09:41:24","slug":"identify-and-mark-unmatched-parenthesis-in-an-expression","status":"publish","type":"post","link":"https:\/\/prepbytes.com\/blog\/identify-and-mark-unmatched-parenthesis-in-an-expression\/","title":{"rendered":"Identify and mark unmatched parenthesis in an expression"},"content":{"rendered":"<p><img decoding=\"async\" src=\"https:\/\/prepbytes-misc-images.s3.ap-south-1.amazonaws.com\/assets\/1664362930902-Topic.jpg\" alt=\"\" \/><\/p>\n<p>Given an expression, find and mark matched and unmatched parenthesis in it. We need to replace all balanced opening parenthesis with 0, balanced closing parenthesis with 1, and all unbalanced with -1. This is one of the most important questions to learn while preparing for interviews.<\/p>\n<h3>Examples:<\/h3>\n<p><strong>Input<\/strong> : ((x)<br \/>\n<strong>Output<\/strong> : -10&#215;1<\/p>\n<p><strong>Input<\/strong> : (x))<br \/>\n<strong>Output<\/strong> : 0x1-1<\/p>\n<p><strong>Input<\/strong>  : (((abc))((z)))))<br \/>\n<strong>Output<\/strong>: 000abc1100z111-1-1<\/p>\n<h3>Algorithm:-<\/h3>\n<p>We will use a <a href=\"https:\/\/prepbytes.com\/blog\/category\/stacks\/\">Stack<\/a> data structure to solve this question.<\/p>\n<ol>\n<li>Start traversing through the given string and every time when \u2018(\u2018  is encountered then push the current index in the stack. <\/li>\n<li>If  \u2018)\u2018 is encountered then replace all opening brackets with 0 and closing brackets with 1 while doing this pop the index of the opening brackets from the stack because they refer to open \u2018(\u2018 brackets.<\/li>\n<li>If the stack is empty, and we encounter a closing bracket \u2018)\u2019 we replace -1 at that index of the string because this is contributing the unmatched brackets. <\/li>\n<\/ol>\n<h3>Dry Run<\/h3>\n<p><img decoding=\"async\" src=\"https:\/\/prepbytes-misc-images.s3.ap-south-1.amazonaws.com\/assets\/1664362864420-1.png\" alt=\"\" \/><\/p>\n<h3>Code Implementation<\/h3>\n\t\t\t\t\t\t<style>\r\n\t\t\t\t\r\n\t\t\t\t\t#tab_container_10065 {\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_10065 .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_10065 .wpsm_nav-tabs {\r\n    border-bottom: 0px solid #ddd;\r\n}\r\n#tab_container_10065 .wpsm_nav-tabs > li.active > a, #tab_container_10065 .wpsm_nav-tabs > li.active > a:hover, #tab_container_10065 .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_10065 .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_10065 .wpsm_nav-tabs > li > a:focus {\r\noutline: 0px !important;\r\n}\r\n\r\n#tab_container_10065 .wpsm_nav-tabs > li > a:before {\r\n\tdisplay:none !important;\r\n}\r\n#tab_container_10065 .wpsm_nav-tabs > li > a:after {\r\n\tdisplay:none !important ;\r\n}\r\n#tab_container_10065 .wpsm_nav-tabs > li{\r\npadding:0px !important ;\r\nmargin:0px;\r\n}\r\n\r\n#tab_container_10065 .wpsm_nav-tabs > li > a:hover , #tab_container_10065 .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_10065 .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_10065 .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_10065 .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_10065 .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_10065 .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_10065 .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_10065 .wpsm_nav-tabs > li {\r\n\t\t\t\t\r\n\t}\r\n\t#tab_container_10065 .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_10065 .wpsm_nav-tabs > li {\r\n\t\t\t\t\r\n\t}\r\n\t#tab_container_10065 .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_10065 .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_10065\" >\r\n\t \r\n\t\t\t\t\t<ul class=\"wpsm_nav wpsm_nav-tabs\" role=\"tablist\" id=\"myTab_10065\">\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_10065_1\" aria-controls=\"tabs_desc_10065_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_10065\">\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_10065_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\nvoid identifyMarkParenthesis(string a){\r\n    \/\/ stack to store index\r\n    stack<int> index;\r\n \r\n    \/\/ traverse through the whole string\r\n    for (int i = 0; i < a.length(); i++) {\r\n \r\n        \/\/ if a[i] is opening bracket '(' \r\n        \/\/ then just push into stack\r\n        if (a[i] == '('){\r\n            index.push(i);\r\n        }         \r\n        \/\/ if a[i] is closing bracket ')'\r\n        else if (a[i] == ')') {\r\n            if (index.empty()){\r\n            \/\/ If this closing bracket is  \r\n           \/\/ unmatched then mark -1\r\n                a.replace(i, 1, \"-1\");\r\n            }else{\r\n                \/\/ replace all opening \r\n              \/\/ brackets with 0\r\n             \/\/ and closing brackets with 1\r\n                a.replace(i, 1, \"1\");\r\n                a.replace(index.top(), 1, \"0\");\r\n                index.pop();\r\n            }\r\n        }\r\n    }\r\n    \/\/ if stack is not empty then pop \r\n  \/\/out all elements from it and replace-1\r\n \/\/ at that index of the string because    \/\/ they are unmatched\r\n    while (!index.empty()) {\r\n        a.replace(index.top(), 1, \"-1\");\r\n        index.pop();\r\n    }\r\n \r\n    \/\/ print final string\r\n    cout << a << endl;\r\n}\r\n \r\n\r\nint main(){\r\n    string str = \"(x))\";\r\n    identifyMarkParenthesis(str);\r\n    return 0;\r\n}\r\n\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_10065 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_10065 a\"),jQuery(\"#tab-content_10065\"));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><strong>Output<\/strong>:<br \/>\n0x1-1<\/p>\n<p><strong>Time Complexity<\/strong>: O(n)<br \/>\n<strong>Space Complexity<\/strong>: O(n) <\/p>\n<p>We tried to discuss the Identify and mark unmatched parenthesis in an expression. We hope this article gives you a better understanding of the Identify and mark unmatched parenthesis in an expression <a href=\"https:\/\/www.prepbytes.com\/\" title=\"PrepBytes\">PrepBytes<\/a> also provides a good collection of <a href=\"https:\/\/www.prepbytes.com\/prepbytes-courses\" title=\"Foundation Courses\">Foundation Courses<\/a> that can help you enhance your coding skills. Want to make sure you ace the interview in one go? Join our <a href=\"https:\/\/www.prepbytes.com\/placement-preparation-program\" title=\"Placement Program\">Placement Program<\/a> which will help you get prepared and land your dream job at MNCs. Mentors of Prepbytes are highly experienced and can provide you with basic, in-depth subject knowledge for better understanding.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Given an expression, find and mark matched and unmatched parenthesis in it. We need to replace all balanced opening parenthesis with 0, balanced closing parenthesis with 1, and all unbalanced with -1. This is one of the most important questions to learn while preparing for interviews. Examples: Input : ((x) Output : -10&#215;1 Input : [&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-10071","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>Identify and mark unmatched parenthesis in an expression | Stacks | PrepBytes Blog<\/title>\n<meta name=\"description\" content=\"We tried to discuss the Identify and mark unmatched parenthesis in an expression. 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