{"id":2800,"date":"2025-06-05T13:41:53","date_gmt":"2025-06-05T13:41:53","guid":{"rendered":"https:\/\/diznr.com\/?p=2800"},"modified":"2025-06-05T13:41:53","modified_gmt":"2025-06-05T13:41:53","slug":"aad-optimal-binary-search-tree-in-hindi-with-practical-example-part-25","status":"publish","type":"post","link":"https:\/\/www.reilsolar.com\/pdf\/aad-optimal-binary-search-tree-in-hindi-with-practical-example-part-25\/","title":{"rendered":"AAD- Optimal Binary Search Tree in Hindi With Practical Example Part 25"},"content":{"rendered":"<p>AAD- Optimal Binary Search Tree in Hindi With Practical Example Part 25<\/p>\n<p>[fvplayer id=&#8221;119&#8243;]<\/p>\n<p><strong>\u0911\u092a\u094d\u091f\u093f\u092e\u0932 \u092c\u093e\u0907\u0928\u0930\u0940 \u0938\u0930\u094d\u091a \u091f\u094d\u0930\u0940 (Optimal Binary Search Tree &#8211; OBST)<\/strong> \u090f\u0915 \u0910\u0938\u093e \u0921\u0947\u091f\u093e \u0938\u094d\u091f\u094d\u0930\u0915\u094d\u091a\u0930 \u0939\u0948 \u091c\u094b \u0916\u094b\u091c (search) \u0915\u0940 \u0932\u093e\u0917\u0924 \u0915\u094b \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0921\u093f\u091c\u093c\u093e\u0907\u0928 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948, \u0935\u093f\u0936\u0947\u0937 \u0930\u0942\u092a \u0938\u0947 \u091c\u092c \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0915\u0941\u0902\u091c\u093f\u092f\u094b\u0902 (keys) \u0915\u0947 \u0932\u093f\u090f \u0916\u094b\u091c \u0915\u0940 \u0906\u0935\u0943\u0924\u094d\u0924\u093f\u092f\u093e\u0901 (frequencies) \u091c\u094d\u091e\u093e\u0924 \u0939\u094b\u0902\u0964<\/p>\n<hr \/>\n<h3>\ud83d\udcd8 <strong>\u0911\u092a\u094d\u091f\u093f\u092e\u0932 \u092c\u093e\u0907\u0928\u0930\u0940 \u0938\u0930\u094d\u091a \u091f\u094d\u0930\u0940 \u0915\u094d\u092f\u093e \u0939\u0948?<\/strong><\/h3>\n<p>\u091c\u092c \u0939\u092e\u093e\u0930\u0947 \u092a\u093e\u0938 \u090f\u0915 \u0915\u094d\u0930\u092e\u092c\u0926\u094d\u0927 \u0915\u0941\u0902\u091c\u093f\u092f\u094b\u0902 \u0915\u0940 \u0938\u0942\u091a\u0940 \u0939\u094b \u0914\u0930 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0915\u0941\u0902\u091c\u0940 \u0915\u0940 \u0916\u094b\u091c \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e (frequency) \u091c\u094d\u091e\u093e\u0924 \u0939\u094b, \u0924\u094b \u0939\u092e \u090f\u0915 \u0910\u0938\u093e \u092c\u093e\u0907\u0928\u0930\u0940 \u0938\u0930\u094d\u091a \u091f\u094d\u0930\u0940 \u092c\u0928\u093e\u0928\u093e \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902 \u091c\u093f\u0938\u092e\u0947\u0902 \u0915\u0941\u0932 \u0916\u094b\u091c \u0932\u093e\u0917\u0924 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0939\u094b\u0964<\/p>\n<p><strong>\u0909\u0926\u093e\u0939\u0930\u0923:<\/strong><\/p>\n<ul>\n<li>\u0915\u0941\u0902\u091c\u093f\u092f\u093e\u0901: [10, 12, 20]<\/li>\n<li>\u0906\u0935\u0943\u0924\u094d\u0924\u093f\u092f\u093e\u0901: [34, 8, 50]<\/li>\n<\/ul>\n<p>\u0907\u0938 \u092a\u0930\u093f\u0926\u0943\u0936\u094d\u092f \u092e\u0947\u0902, \u0939\u092e \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0938\u0902\u092d\u0935 \u092c\u093e\u0907\u0928\u0930\u0940 \u0938\u0930\u094d\u091a \u091f\u094d\u0930\u0940\u091c\u093c \u0915\u093e \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u0915\u0930\u0915\u0947 \u0909\u0938 \u091f\u094d\u0930\u0940 \u0915\u093e \u091a\u092f\u0928 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 \u091c\u093f\u0938\u0915\u0940 \u0915\u0941\u0932 \u0916\u094b\u091c \u0932\u093e\u0917\u0924 \u0938\u092c\u0938\u0947 \u0915\u092e \u0939\u094b\u0964<\/p>\n<hr \/>\n<h3>\ud83e\udde0 <strong>\u0921\u093e\u092f\u0928\u093e\u092e\u093f\u0915 \u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e\u093f\u0902\u0917 \u0926\u0943\u0937\u094d\u091f\u093f\u0915\u094b\u0923<\/strong><\/h3>\n<p>OBST \u0938\u092e\u0938\u094d\u092f\u093e \u0915\u094b \u0939\u0932 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0921\u093e\u092f\u0928\u093e\u092e\u093f\u0915 \u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e\u093f\u0902\u0917 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/p>\n<ul>\n<li>\u0939\u092e \u090f\u0915 \u0932\u093e\u0917\u0924 \u092e\u0948\u091f\u094d\u0930\u093f\u0915\u094d\u0938 (cost matrix) \u092c\u0928\u093e\u0924\u0947 \u0939\u0948\u0902 \u091c\u0939\u093e\u0901 <code>cost[i][j]<\/code> \u0909\u0938 \u0909\u092a\u0938\u092e\u0942\u0939 \u0915\u0940 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0932\u093e\u0917\u0924 \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948 \u091c\u094b \u0915\u0941\u0902\u091c\u093f\u092f\u094b\u0902 <code>i<\/code> \u0938\u0947 <code>j<\/code> \u0924\u0915 \u0939\u094b\u0924\u0940 \u0939\u0948\u0902\u0964<\/li>\n<li>\u0939\u092e \u0938\u092d\u0940 \u0909\u092a\u0938\u092e\u0942\u0939\u094b\u0902 \u0915\u0947 \u0932\u093f\u090f \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u0930\u0942\u091f\u094d\u0938 \u0915\u093e \u092e\u0942\u0932\u094d\u092f\u093e\u0902\u0915\u0928 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 \u0914\u0930 \u0909\u0938 \u0930\u0942\u091f \u0915\u093e \u091a\u092f\u0928 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 \u091c\u094b \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0932\u093e\u0917\u0924 \u092a\u094d\u0930\u0926\u093e\u0928 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<\/li>\n<\/ul>\n<hr \/>\n<h3>\ud83c\udfa5 <strong>\u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902 \u0935\u0940\u0921\u093f\u092f\u094b \u091f\u094d\u092f\u0942\u091f\u094b\u0930\u093f\u092f\u0932\u094d\u0938<\/strong><\/h3>\n<p>OBST \u0915\u0940 \u092c\u0947\u0939\u0924\u0930 \u0938\u092e\u091d \u0915\u0947 \u0932\u093f\u090f, \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0939\u093f\u0902\u0926\u0940 \u0935\u0940\u0921\u093f\u092f\u094b \u091f\u094d\u092f\u0942\u091f\u094b\u0930\u093f\u092f\u0932\u094d\u0938 \u0938\u0939\u093e\u092f\u0915 \u0939\u094b \u0938\u0915\u0924\u0947 \u0939\u0948\u0902:<\/p>\n<ol>\n<li><strong>Optimal Binary Search Trees with Example in Hindi #1<\/strong><br \/>\n\u092f\u0939 \u0935\u0940\u0921\u093f\u092f\u094b OBST \u0915\u0940 \u092e\u0942\u0932\u092d\u0942\u0924 \u0905\u0935\u0927\u093e\u0930\u0923\u093e\u0913\u0902 \u0914\u0930 \u0909\u0926\u093e\u0939\u0930\u0923\u094b\u0902 \u0915\u094b \u0938\u094d\u092a\u0937\u094d\u091f \u0915\u0930\u0924\u093e \u0939\u0948\u0964<br \/>\n\ud83d\udcfa \u0926\u0947\u0916\u0947\u0902<\/li>\n<li><strong>Optimal Binary Search Tree in Hindi: Bottom Up Code logic<\/strong><br \/>\n\u0907\u0938 \u0935\u0940\u0921\u093f\u092f\u094b \u092e\u0947\u0902 OBST \u0915\u0947 \u0932\u093f\u090f \u092c\u0949\u091f\u092e-\u0905\u092a \u0915\u094b\u0921\u093f\u0902\u0917 \u0926\u0943\u0937\u094d\u091f\u093f\u0915\u094b\u0923 \u0915\u0940 \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e \u0915\u0940 \u0917\u0908 \u0939\u0948\u0964<br \/>\n\ud83d\udcfa \u0926\u0947\u0916\u0947\u0902<\/li>\n<li><strong>Optimal Binary Search Tree in Hindi &#8211; YouTube Playlist<\/strong><br \/>\n\u092f\u0939 \u092a\u094d\u0932\u0947\u0932\u093f\u0938\u094d\u091f OBST \u0915\u0947 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u092a\u0939\u0932\u0941\u0913\u0902 \u0915\u094b \u0915\u0935\u0930 \u0915\u0930\u0924\u0940 \u0939\u0948, \u091c\u093f\u0938\u092e\u0947\u0902 \u0930\u0940\u0915\u0930\u094d\u0938\u0928 \u091f\u094d\u0930\u0940 \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u0914\u0930 \u0915\u094b\u0921\u093f\u0902\u0917 \u0932\u0949\u091c\u093f\u0915 \u0936\u093e\u092e\u093f\u0932 \u0939\u0948\u0902\u0964<br \/>\n\ud83d\udcfa \u0926\u0947\u0916\u0947\u0902<\/li>\n<\/ol>\n<hr \/>\n<p>\u092f\u0926\u093f \u0906\u092a OBST \u092a\u0930 \u0935\u093f\u0938\u094d\u0924\u0943\u0924 \u0928\u094b\u091f\u094d\u0938, \u0915\u094b\u0921\u093f\u0902\u0917 \u0909\u0926\u093e\u0939\u0930\u0923, \u092f\u093e GATE\/UGC NET \u091c\u0948\u0938\u0947 \u092a\u0930\u0940\u0915\u094d\u0937\u093e\u0913\u0902 \u0915\u0947 \u0932\u093f\u090f \u0905\u092d\u094d\u092f\u093e\u0938 \u092a\u094d\u0930\u0936\u094d\u0928 \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b \u0915\u0943\u092a\u092f\u093e \u092c\u0924\u093e\u090f\u0902\u0964 \u092e\u0948\u0902 \u0906\u092a\u0915\u0940 \u0938\u0939\u093e\u092f\u0924\u093e \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0924\u0924\u094d\u092a\u0930 \u0939\u0942\u0901\u0964<\/p>\n<h3><a href=\"https:\/\/www.jkbose.nic.in\/PageDoc\/637499917759895166syllabus%2012th%20revised.pdf\" target=\"_blank\" rel=\"noopener\">AAD- Optimal Binary Search Tree in Hindi With Practical Example Part 25<\/a><\/h3>\n<h3 class=\"LC20lb MBeuO DKV0Md\"><a href=\"https:\/\/www.durguniversity.ac.in\/web_data\/uploads\/files\/BScPart-03_2021317081219.pdf\" target=\"_blank\" rel=\"noopener\">Syllabus :- B.Sc. Part-03 from Session 2025-22<\/a><\/h3>\n","protected":false},"excerpt":{"rendered":"<p>AAD- Optimal Binary Search Tree in Hindi With Practical Example Part 25 [fvplayer id=&#8221;119&#8243;] \u0911\u092a\u094d\u091f\u093f\u092e\u0932 \u092c\u093e\u0907\u0928\u0930\u0940 \u0938\u0930\u094d\u091a \u091f\u094d\u0930\u0940 (Optimal Binary Search Tree &#8211; OBST) \u090f\u0915 \u0910\u0938\u093e \u0921\u0947\u091f\u093e \u0938\u094d\u091f\u094d\u0930\u0915\u094d\u091a\u0930 \u0939\u0948 \u091c\u094b \u0916\u094b\u091c (search) \u0915\u0940 \u0932\u093e\u0917\u0924 \u0915\u094b \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0921\u093f\u091c\u093c\u093e\u0907\u0928 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948, \u0935\u093f\u0936\u0947\u0937 \u0930\u0942\u092a \u0938\u0947 \u091c\u092c \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0915\u0941\u0902\u091c\u093f\u092f\u094b\u0902 (keys) \u0915\u0947 \u0932\u093f\u090f \u0916\u094b\u091c \u0915\u0940 \u0906\u0935\u0943\u0924\u094d\u0924\u093f\u092f\u093e\u0901 [&hellip;]<\/p>\n","protected":false},"author":71,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[],"class_list":["post-2800","post","type-post","status-publish","format-standard","hentry","category-algorithm-analysis-and-design"],"_links":{"self":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/2800","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/users\/71"}],"replies":[{"embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/comments?post=2800"}],"version-history":[{"count":0,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/2800\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/media?parent=2800"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/categories?post=2800"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/tags?post=2800"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}