{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2025-12-14T01:33:56.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2025-12-14T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":44510,"title":"Besson Ranks","description":"Return Besson Ranks. You can look at \u003chttps://www.sciencedirect.com/science/article/pii/0895717789903671 this article.\u003e\r\n\r\nBesson ranking takes into account ties. \r\n\r\nIf input is \r\n\r\n \r\n  input = [1 2 2 3];\r\n\r\nthen in a regular ranking we should return\r\n\r\n  regularRanks = [1 2 3 4];\r\n\r\nHowever a tie occurs at 2 and 3 in the regular ranking. So you should average their position which is (2 + 3 )/ 2 = 2.5\r\n\r\nFinally;\r\n\r\n  bessonRankings= [1 2.5 2.5 4]","description_html":"\u003cp\u003eReturn Besson Ranks. You can look at \u003ca href = \"https://www.sciencedirect.com/science/article/pii/0895717789903671\"\u003ethis article.\u003c/a\u003e\u003c/p\u003e\u003cp\u003eBesson ranking takes into account ties.\u003c/p\u003e\u003cp\u003eIf input is\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003einput = [1 2 2 3];\r\n\u003c/pre\u003e\u003cp\u003ethen in a regular ranking we should return\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003eregularRanks = [1 2 3 4];\r\n\u003c/pre\u003e\u003cp\u003eHowever a tie occurs at 2 and 3 in the regular ranking. So you should average their position which is (2 + 3 )/ 2 = 2.5\u003c/p\u003e\u003cp\u003eFinally;\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003ebessonRankings= [1 2.5 2.5 4]\r\n\u003c/pre\u003e","function_template":"function y = bessonRanks(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = [1 2];\r\ny_correct = [1 2];\r\nassert(isequal(bessonRanks(x),y_correct))\r\n\r\n%%\r\nx = [1 1]; % (1 + 2)/2 = 1.5\r\ny_correct = [1.5 1.5];\r\nassert(isequal(bessonRanks(x),y_correct))\r\n\r\n%%\r\nx = [1 1 1]; % (1 + 2 + 3)/3 = 2\r\ny_correct = [2 2 2];\r\nassert(isequal(bessonRanks(x),y_correct))\r\n\r\n%%\r\nx = [1 1 1 1]; % (1 + 2 + 3 + 4)/4 = 2.5\r\ny_correct = [2.5 2.5 2.5 2.5];\r\nassert(isequal(bessonRanks(x),y_correct))\r\n\r\n%%\r\nx = [1 1 1 1 1]; % (1 + 2 + 3 + 4 + 5)/5=3\r\ny_correct = [3 3 3 3 3];\r\nassert(isequal(bessonRanks(x),y_correct))\r\n\r\n%%\r\nx = [1 2 2 3];\r\ny_correct = [1 2.5 2.5 4];\r\nassert(isequal(bessonRanks(x),y_correct))\r\n\r\n%%\r\nx = [1 2 3 3];\r\ny_correct = [1 2 3.5 3.5]; % 7/2 = 3.5\r\nassert(isequal(bessonRanks(x),y_correct))\r\n\r\n%%\r\nx = [1 1 2 3];\r\ny_correct = [1.5 1.5 3 4]; % (1+2)/2 = 1.5\r\nassert(isequal(bessonRanks(x),y_correct))\r\n\r\n%%\r\nx = [1 1 2 2];\r\ny_correct = [1.5 1.5 3.5 3.5]; % (1+2)/2 = 1.5 and (3+4)/2=3.5\r\nassert(isequal(bessonRanks(x),y_correct))\r\n\r\n%%\r\nx = [6.8 7.2 6.8 5.4 6.3];\r\ny_correct = [3.5 5 3.5 1 2];\r\nassert(isequal(bessonRanks(x),y_correct))\r\n\r\n%%\r\nx = [6.8 7.2 6.8 5.4 6.3];\r\ny_correct = [3.5 5 3.5 1 2];\r\nassert(isequal(bessonRanks(x),y_correct))\r\n\r\n%%\r\nx = [9 5 9 4 3 4 1 9 9 2 4 ];\r\ny_correct = [9.5 7 9.5 5 3 5 1 9.5 9.5 2 5];\r\nassert(isequal(bessonRanks(x),y_correct))\r\n\r\n%%\r\nx = [2 2 2 3 3 3 4 4 4 ];\r\ny_correct = [2 2 2 5 5 5 8 8 8 ];\r\nassert(isequal(bessonRanks(x),y_correct))\r\n\r\n%%\r\nx = [10 20 10 30 10 20 20 20 20 30];\r\ny_correct = [2 6 2 9.5 2 6 6 6 6 9.5];\r\nassert(isequal(bessonRanks(x),y_correct))\r\n\r\n%%\r\nx = [2 5 1.7 4 5.5 5.5 1.7 2 5];\r\ny_correct = [3.5 6.5 1.5 5 8.5 8.5 1.5 3.5 6.5];\r\nassert(isequal(bessonRanks(x),y_correct))\r\n\r\n\r\n%%\r\nfor idx = 1:20\r\n    x = rand(1);\r\n    y_correct = [1];\r\n    assert(isequal(bessonRanks(x),y_correct))\r\nend\r\n\r\n\r\n%%\r\nfor idx = 1:30\r\n    k = randi([20 90]);\r\n    n = randperm(k);\r\n    [~, y_correct]= sort(n);\r\nend\r\n\r\n%%\r\nx = [1 1 2 1 3 3 2];\r\ny_correct = [2 2 4.5 2 6.5 6.5 4.5];\r\nassert(isequal(bessonRanks(x),y_correct))","published":true,"deleted":false,"likes_count":3,"comments_count":2,"created_by":8703,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":15,"test_suite_updated_at":"2018-01-30T12:37:34.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2018-01-30T12:27:54.000Z","updated_at":"2018-01-31T08:51:50.000Z","published_at":"2018-01-30T12:37:34.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eReturn Besson Ranks. You can look at\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.sciencedirect.com/science/article/pii/0895717789903671\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ethis article.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eBesson ranking takes into account ties.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf input is\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[input = [1 2 2 3];]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ethen in a regular ranking we should return\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[regularRanks = [1 2 3 4];]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHowever a tie occurs at 2 and 3 in the regular ranking. So you should average their position which is (2 + 3 )/ 2 = 2.5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFinally;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[bessonRankings= [1 2.5 2.5 4]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"}],"problem_search":{"errors":[],"problems":[{"id":44510,"title":"Besson Ranks","description":"Return Besson Ranks. You can look at \u003chttps://www.sciencedirect.com/science/article/pii/0895717789903671 this article.\u003e\r\n\r\nBesson ranking takes into account ties. \r\n\r\nIf input is \r\n\r\n \r\n  input = [1 2 2 3];\r\n\r\nthen in a regular ranking we should return\r\n\r\n  regularRanks = [1 2 3 4];\r\n\r\nHowever a tie occurs at 2 and 3 in the regular ranking. So you should average their position which is (2 + 3 )/ 2 = 2.5\r\n\r\nFinally;\r\n\r\n  bessonRankings= [1 2.5 2.5 4]","description_html":"\u003cp\u003eReturn Besson Ranks. You can look at \u003ca href = \"https://www.sciencedirect.com/science/article/pii/0895717789903671\"\u003ethis article.\u003c/a\u003e\u003c/p\u003e\u003cp\u003eBesson ranking takes into account ties.\u003c/p\u003e\u003cp\u003eIf input is\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003einput = [1 2 2 3];\r\n\u003c/pre\u003e\u003cp\u003ethen in a regular ranking we should return\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003eregularRanks = [1 2 3 4];\r\n\u003c/pre\u003e\u003cp\u003eHowever a tie occurs at 2 and 3 in the regular ranking. So you should average their position which is (2 + 3 )/ 2 = 2.5\u003c/p\u003e\u003cp\u003eFinally;\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003ebessonRankings= [1 2.5 2.5 4]\r\n\u003c/pre\u003e","function_template":"function y = bessonRanks(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = [1 2];\r\ny_correct = [1 2];\r\nassert(isequal(bessonRanks(x),y_correct))\r\n\r\n%%\r\nx = [1 1]; % (1 + 2)/2 = 1.5\r\ny_correct = [1.5 1.5];\r\nassert(isequal(bessonRanks(x),y_correct))\r\n\r\n%%\r\nx = [1 1 1]; % (1 + 2 + 3)/3 = 2\r\ny_correct = [2 2 2];\r\nassert(isequal(bessonRanks(x),y_correct))\r\n\r\n%%\r\nx = [1 1 1 1]; % (1 + 2 + 3 + 4)/4 = 2.5\r\ny_correct = [2.5 2.5 2.5 2.5];\r\nassert(isequal(bessonRanks(x),y_correct))\r\n\r\n%%\r\nx = [1 1 1 1 1]; % (1 + 2 + 3 + 4 + 5)/5=3\r\ny_correct = [3 3 3 3 3];\r\nassert(isequal(bessonRanks(x),y_correct))\r\n\r\n%%\r\nx = [1 2 2 3];\r\ny_correct = [1 2.5 2.5 4];\r\nassert(isequal(bessonRanks(x),y_correct))\r\n\r\n%%\r\nx = [1 2 3 3];\r\ny_correct = [1 2 3.5 3.5]; % 7/2 = 3.5\r\nassert(isequal(bessonRanks(x),y_correct))\r\n\r\n%%\r\nx = [1 1 2 3];\r\ny_correct = [1.5 1.5 3 4]; % (1+2)/2 = 1.5\r\nassert(isequal(bessonRanks(x),y_correct))\r\n\r\n%%\r\nx = [1 1 2 2];\r\ny_correct = [1.5 1.5 3.5 3.5]; % (1+2)/2 = 1.5 and (3+4)/2=3.5\r\nassert(isequal(bessonRanks(x),y_correct))\r\n\r\n%%\r\nx = [6.8 7.2 6.8 5.4 6.3];\r\ny_correct = [3.5 5 3.5 1 2];\r\nassert(isequal(bessonRanks(x),y_correct))\r\n\r\n%%\r\nx = [6.8 7.2 6.8 5.4 6.3];\r\ny_correct = [3.5 5 3.5 1 2];\r\nassert(isequal(bessonRanks(x),y_correct))\r\n\r\n%%\r\nx = [9 5 9 4 3 4 1 9 9 2 4 ];\r\ny_correct = [9.5 7 9.5 5 3 5 1 9.5 9.5 2 5];\r\nassert(isequal(bessonRanks(x),y_correct))\r\n\r\n%%\r\nx = [2 2 2 3 3 3 4 4 4 ];\r\ny_correct = [2 2 2 5 5 5 8 8 8 ];\r\nassert(isequal(bessonRanks(x),y_correct))\r\n\r\n%%\r\nx = [10 20 10 30 10 20 20 20 20 30];\r\ny_correct = [2 6 2 9.5 2 6 6 6 6 9.5];\r\nassert(isequal(bessonRanks(x),y_correct))\r\n\r\n%%\r\nx = [2 5 1.7 4 5.5 5.5 1.7 2 5];\r\ny_correct = [3.5 6.5 1.5 5 8.5 8.5 1.5 3.5 6.5];\r\nassert(isequal(bessonRanks(x),y_correct))\r\n\r\n\r\n%%\r\nfor idx = 1:20\r\n    x = rand(1);\r\n    y_correct = [1];\r\n    assert(isequal(bessonRanks(x),y_correct))\r\nend\r\n\r\n\r\n%%\r\nfor idx = 1:30\r\n    k = randi([20 90]);\r\n    n = randperm(k);\r\n    [~, y_correct]= sort(n);\r\nend\r\n\r\n%%\r\nx = [1 1 2 1 3 3 2];\r\ny_correct = [2 2 4.5 2 6.5 6.5 4.5];\r\nassert(isequal(bessonRanks(x),y_correct))","published":true,"deleted":false,"likes_count":3,"comments_count":2,"created_by":8703,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":15,"test_suite_updated_at":"2018-01-30T12:37:34.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2018-01-30T12:27:54.000Z","updated_at":"2018-01-31T08:51:50.000Z","published_at":"2018-01-30T12:37:34.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eReturn Besson Ranks. You can look at\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.sciencedirect.com/science/article/pii/0895717789903671\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ethis article.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eBesson ranking takes into account ties.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf input is\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[input = [1 2 2 3];]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ethen in a regular ranking we should return\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[regularRanks = [1 2 3 4];]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHowever a tie occurs at 2 and 3 in the regular ranking. 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