{"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":45488,"title":"Height of a 3D Pyramid ","description":"If a pyramid is made with one(1). What will be the height of the pyramid of square shaped base(n*n)? where input is n.","description_html":"\u003cp\u003eIf a pyramid is made with one(1). What will be the height of the pyramid of square shaped base(n*n)? where input is n.\u003c/p\u003e","function_template":"function h = pyramid(n)\r\n  h = n;\r\nend","test_suite":"%%\r\nn = 10;\r\ny_correct = 5;\r\nassert(isequal(pyramid(n),y_correct))\r\n%%\r\nn = 19;\r\ny_correct = 10;\r\nassert(isequal(pyramid(n),y_correct))\r\n%%\r\nn = 1;\r\ny_correct = 1;\r\nassert(isequal(pyramid(n),y_correct))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":5,"created_by":432893,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":45,"test_suite_updated_at":"2020-04-30T19:41:13.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-04-30T19:37:13.000Z","updated_at":"2026-02-11T12:11:39.000Z","published_at":"2020-04-30T19:37:13.000Z","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\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"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\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\u003eIf a pyramid is made with one(1). What will be the height of the pyramid of square shaped base(n*n)? where input is n.\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\"}]}"},{"id":45173,"title":"Create the flag of Ramumbia","description":"The little known nation of Ramumbia has a very simple flag. It is made up of vertical stripes, Red, Green, Blue, that are equally spaced and with no gap between said stripes.\r\n\r\nThe artist that designed the flag has been very clear; \"If the flag is not divisible into three, equal, vertical segments, this flag shall not exist!\" However, bizarrely, the designer has given no guidance on the aspect ratio of the flag.\r\n\r\nYour task is to write a function which can reproduce said flag as a hypermatrix, viewable by the \"imshow\" function. The inputs to the function are the length, L and width, W of the flag, but remember, unless the width is divisible by three with no remainders, the flag will be blank (i.e. a hypermatrix of zeros of the appropriate size)","description_html":"\u003cdiv style = \"text-align: start; line-height: 20px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"display: block; min-width: 0px; padding-top: 0px; transform-origin: 332px 103.5px; vertical-align: baseline; perspective-origin: 332px 103.5px; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; transform-origin: 309px 21px; white-space: pre-wrap; perspective-origin: 309px 21px; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe little known nation of Ramumbia has a very simple flag. It is made up of vertical stripes, Red, Green, Blue, that are equally spaced and with no gap between said stripes.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; transform-origin: 309px 31.5px; white-space: pre-wrap; perspective-origin: 309px 31.5px; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe artist that designed the flag has been very clear; \"If the flag is not divisible into three, equal, vertical segments, this flag shall not exist!\" However, bizarrely, the designer has given no guidance on the aspect ratio of the flag.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; transform-origin: 309px 42px; white-space: pre-wrap; perspective-origin: 309px 42px; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eYour task is to write a function which can reproduce said flag as a hypermatrix, viewable by the \"imshow\" function. The inputs to the function are the length, L and width, W of the flag, but remember, unless the width is divisible by three with no remainders, the flag will be blank (i.e. a hypermatrix of zeros of the appropriate size)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = RamumbiaFlag(L,W)\r\n  y = L*W;\r\nend","test_suite":"%%\r\nL = 1; W=3;\r\ny_correct(:,:,1) = [1,0,0]; \r\ny_correct(:,:,2) = [0,1,0]; \r\ny_correct(:,:,3) = [0,0,1]; \r\nassert(isequal(RamumbiaFlag(L,W),y_correct))\r\n\r\n%%\r\nL = 3; W = 8;\r\ny_correct = zeros(L,W,3);\r\nassert(isequal(RamumbiaFlag(L,W),y_correct))\r\n\r\n%%\r\nL = 10; W = 27;\r\ny_correct(:,:,1) = [ones(10,9),zeros(10,9),zeros(10,9)]; \r\ny_correct(:,:,2) = [zeros(10,9),ones(10,9),zeros(10,9)]; \r\ny_correct(:,:,3) = [zeros(10,9),zeros(10,9),ones(10,9)]; \r\nassert(isequal(RamumbiaFlag(L,W),y_correct))\r\n\r\n%%\r\nL = 1000; W = 12119;\r\ny_correct = zeros(L,W,3);\r\nassert(isequal(RamumbiaFlag(L,W),y_correct))\r\n\r\n%%\r\nL = 100; W = 999;\r\ny_correct(:,:,1) = [ones(100,333),zeros(100,333),zeros(100,333)]; \r\ny_correct(:,:,2) = [zeros(100,333),ones(100,333),zeros(100,333)]; \r\ny_correct(:,:,3) = [zeros(100,333),zeros(100,333),ones(100,333)]; \r\nassert(isequal(RamumbiaFlag(L,W),y_correct))","published":true,"deleted":false,"likes_count":3,"comments_count":5,"created_by":157354,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":16,"test_suite_updated_at":"2020-09-28T19:13:22.000Z","rescore_all_solutions":true,"group_id":1,"created_at":"2019-10-11T22:19:48.000Z","updated_at":"2025-11-07T03:29:59.000Z","published_at":"2019-10-11T22:37:36.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe little known nation of Ramumbia has a very simple flag. It is made up of vertical stripes, Red, Green, Blue, that are equally spaced and with no gap between said stripes.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe artist that designed the flag has been very clear; \\\"If the flag is not divisible into three, equal, vertical segments, this flag shall not exist!\\\" However, bizarrely, the designer has given no guidance on the aspect ratio of the flag.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour task is to write a function which can reproduce said flag as a hypermatrix, viewable by the \\\"imshow\\\" function. The inputs to the function are the length, L and width, W of the flag, but remember, unless the width is divisible by three with no remainders, the flag will be blank (i.e. a hypermatrix of zeros of the appropriate size)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":45491,"title":" cross-section of  3D pyramid","description":"Create 3d pyramid of ones and zeros...where pyramid-part is denoted by ones and outer-part is denoted by zeros..where base is square-shaped.. now show the the CROSS-SECTION of the pyramid on the XZ plane...input n is the side of the square base of the pyramid..\r\n\r\n\r\n  \r\n    input= 3  output= 0 1 0\r\n                      1 1 1\r\n  \r\n\r\n\r\n\r\n\r\n      \r\n     \r\n","description_html":"\u003cp\u003eCreate 3d pyramid of ones and zeros...where pyramid-part is denoted by ones and outer-part is denoted by zeros..where base is square-shaped.. now show the the CROSS-SECTION of the pyramid on the XZ plane...input n is the side of the square base of the pyramid..\u003c/p\u003e\u003cpre\u003e    input= 3  output= 0 1 0\r\n                      1 1 1\u003c/pre\u003e","function_template":"function xz = your_fcn_name(n)\r\n  xz = x;\r\nend","test_suite":"%%\r\nn = 1;\r\ny_correct = 1;\r\nassert(isequal(your_fcn_name(n),y_correct))\r\n%%\r\nn = 7;\r\ny_correct =  [0     0     0     1     0     0     0;\r\n              0     0     1     1     1     0     0;\r\n              0     1     1     1     1     1     0;\r\n              1     1     1     1     1     1     1];\r\nassert(isequal(your_fcn_name(n),y_correct))\r\n%%\r\nn = 6;\r\ny_correct =  [0     0     1     1     0     0;\r\n     0     1     1     1     1     0;\r\n     1     1     1     1     1     1];\r\nassert(isequal(your_fcn_name(n),y_correct))\r\n%%\r\nn = 10;\r\ny_correct =    [0     0     0     0     1     1     0     0     0     0;\r\n     0     0     0     1     1     1     1     0     0     0;\r\n     0     0     1     1     1     1     1     1     0     0;\r\n     0     1     1     1     1     1     1     1     1     0;\r\n     1     1     1     1     1     1     1     1     1     1];\r\nassert(isequal(your_fcn_name(n),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":3,"created_by":432893,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":24,"test_suite_updated_at":"2020-05-02T19:20:33.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-05-02T19:13:06.000Z","updated_at":"2026-01-03T16:00:01.000Z","published_at":"2020-05-02T19:13:45.000Z","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\u003eCreate 3d pyramid of ones and zeros...where pyramid-part is denoted by ones and outer-part is denoted by zeros..where base is square-shaped.. now show the the CROSS-SECTION of the pyramid on the XZ plane...input n is the side of the square base of the pyramid..\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= 3  output= 0 1 0\\n                      1 1 1]]\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\"}]}"},{"id":45489,"title":"Top layer of a 3D pyramid ","description":"create a 3D pyramid(x,y,z) of ones(1) and zeros(0)...where pyramid part is denoted by one....nd find the top layer(x,y) of the pyramid...base of the pyramid is square shape of size(n,n) ...where n is the input. ","description_html":"\u003cp\u003ecreate a 3D pyramid(x,y,z) of ones(1) and zeros(0)...where pyramid part is denoted by one....nd find the top layer(x,y) of the pyramid...base of the pyramid is square shape of size(n,n) ...where n is the input.\u003c/p\u003e","function_template":"function top = your_fcn_name(n)\r\ntop= x*y;\r\nend","test_suite":"%%\r\nx = 1;\r\ny_correct = 1;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx = 5;\r\ny_correct = [0     0     0     0     0;\r\n     0     0     0     0     0;\r\n     0     0     1     0     0;\r\n     0     0     0     0     0;\r\n     0     0     0     0     0];\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx = 10;\r\ny_correct =[0     0     0     0     0     0     0     0     0     0;\r\n     0     0     0     0     0     0     0     0     0     0;\r\n     0     0     0     0     0     0     0     0     0     0;\r\n     0     0     0     0     0     0     0     0     0     0;\r\n     0     0     0     0     1     1     0     0     0     0;\r\n     0     0     0     0     1     1     0     0     0     0;\r\n     0     0     0     0     0     0     0     0     0     0;\r\n     0     0     0     0     0     0     0     0     0     0;\r\n     0     0     0     0     0     0     0     0     0     0;\r\n     0     0     0     0     0     0     0     0     0     0];\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":432893,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":24,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-04-30T20:57:41.000Z","updated_at":"2026-03-16T13:35:26.000Z","published_at":"2020-04-30T20:57:41.000Z","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\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"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\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\u003ecreate a 3D pyramid(x,y,z) of ones(1) and zeros(0)...where pyramid part is denoted by one....nd find the top layer(x,y) of the pyramid...base of the pyramid is square shape of size(n,n) ...where n is the input.\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":45488,"title":"Height of a 3D Pyramid ","description":"If a pyramid is made with one(1). What will be the height of the pyramid of square shaped base(n*n)? where input is n.","description_html":"\u003cp\u003eIf a pyramid is made with one(1). What will be the height of the pyramid of square shaped base(n*n)? where input is n.\u003c/p\u003e","function_template":"function h = pyramid(n)\r\n  h = n;\r\nend","test_suite":"%%\r\nn = 10;\r\ny_correct = 5;\r\nassert(isequal(pyramid(n),y_correct))\r\n%%\r\nn = 19;\r\ny_correct = 10;\r\nassert(isequal(pyramid(n),y_correct))\r\n%%\r\nn = 1;\r\ny_correct = 1;\r\nassert(isequal(pyramid(n),y_correct))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":5,"created_by":432893,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":45,"test_suite_updated_at":"2020-04-30T19:41:13.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-04-30T19:37:13.000Z","updated_at":"2026-02-11T12:11:39.000Z","published_at":"2020-04-30T19:37:13.000Z","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\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"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\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\u003eIf a pyramid is made with one(1). What will be the height of the pyramid of square shaped base(n*n)? where input is n.\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\"}]}"},{"id":45173,"title":"Create the flag of Ramumbia","description":"The little known nation of Ramumbia has a very simple flag. It is made up of vertical stripes, Red, Green, Blue, that are equally spaced and with no gap between said stripes.\r\n\r\nThe artist that designed the flag has been very clear; \"If the flag is not divisible into three, equal, vertical segments, this flag shall not exist!\" However, bizarrely, the designer has given no guidance on the aspect ratio of the flag.\r\n\r\nYour task is to write a function which can reproduce said flag as a hypermatrix, viewable by the \"imshow\" function. The inputs to the function are the length, L and width, W of the flag, but remember, unless the width is divisible by three with no remainders, the flag will be blank (i.e. a hypermatrix of zeros of the appropriate size)","description_html":"\u003cdiv style = \"text-align: start; line-height: 20px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"display: block; min-width: 0px; padding-top: 0px; transform-origin: 332px 103.5px; vertical-align: baseline; perspective-origin: 332px 103.5px; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; transform-origin: 309px 21px; white-space: pre-wrap; perspective-origin: 309px 21px; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe little known nation of Ramumbia has a very simple flag. It is made up of vertical stripes, Red, Green, Blue, that are equally spaced and with no gap between said stripes.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; transform-origin: 309px 31.5px; white-space: pre-wrap; perspective-origin: 309px 31.5px; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe artist that designed the flag has been very clear; \"If the flag is not divisible into three, equal, vertical segments, this flag shall not exist!\" However, bizarrely, the designer has given no guidance on the aspect ratio of the flag.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; transform-origin: 309px 42px; white-space: pre-wrap; perspective-origin: 309px 42px; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eYour task is to write a function which can reproduce said flag as a hypermatrix, viewable by the \"imshow\" function. The inputs to the function are the length, L and width, W of the flag, but remember, unless the width is divisible by three with no remainders, the flag will be blank (i.e. a hypermatrix of zeros of the appropriate size)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = RamumbiaFlag(L,W)\r\n  y = L*W;\r\nend","test_suite":"%%\r\nL = 1; W=3;\r\ny_correct(:,:,1) = [1,0,0]; \r\ny_correct(:,:,2) = [0,1,0]; \r\ny_correct(:,:,3) = [0,0,1]; \r\nassert(isequal(RamumbiaFlag(L,W),y_correct))\r\n\r\n%%\r\nL = 3; W = 8;\r\ny_correct = zeros(L,W,3);\r\nassert(isequal(RamumbiaFlag(L,W),y_correct))\r\n\r\n%%\r\nL = 10; W = 27;\r\ny_correct(:,:,1) = [ones(10,9),zeros(10,9),zeros(10,9)]; \r\ny_correct(:,:,2) = [zeros(10,9),ones(10,9),zeros(10,9)]; \r\ny_correct(:,:,3) = [zeros(10,9),zeros(10,9),ones(10,9)]; \r\nassert(isequal(RamumbiaFlag(L,W),y_correct))\r\n\r\n%%\r\nL = 1000; W = 12119;\r\ny_correct = zeros(L,W,3);\r\nassert(isequal(RamumbiaFlag(L,W),y_correct))\r\n\r\n%%\r\nL = 100; W = 999;\r\ny_correct(:,:,1) = [ones(100,333),zeros(100,333),zeros(100,333)]; \r\ny_correct(:,:,2) = [zeros(100,333),ones(100,333),zeros(100,333)]; \r\ny_correct(:,:,3) = [zeros(100,333),zeros(100,333),ones(100,333)]; \r\nassert(isequal(RamumbiaFlag(L,W),y_correct))","published":true,"deleted":false,"likes_count":3,"comments_count":5,"created_by":157354,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":16,"test_suite_updated_at":"2020-09-28T19:13:22.000Z","rescore_all_solutions":true,"group_id":1,"created_at":"2019-10-11T22:19:48.000Z","updated_at":"2025-11-07T03:29:59.000Z","published_at":"2019-10-11T22:37:36.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe little known nation of Ramumbia has a very simple flag. It is made up of vertical stripes, Red, Green, Blue, that are equally spaced and with no gap between said stripes.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe artist that designed the flag has been very clear; \\\"If the flag is not divisible into three, equal, vertical segments, this flag shall not exist!\\\" However, bizarrely, the designer has given no guidance on the aspect ratio of the flag.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour task is to write a function which can reproduce said flag as a hypermatrix, viewable by the \\\"imshow\\\" function. The inputs to the function are the length, L and width, W of the flag, but remember, unless the width is divisible by three with no remainders, the flag will be blank (i.e. a hypermatrix of zeros of the appropriate size)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":45491,"title":" cross-section of  3D pyramid","description":"Create 3d pyramid of ones and zeros...where pyramid-part is denoted by ones and outer-part is denoted by zeros..where base is square-shaped.. now show the the CROSS-SECTION of the pyramid on the XZ plane...input n is the side of the square base of the pyramid..\r\n\r\n\r\n  \r\n    input= 3  output= 0 1 0\r\n                      1 1 1\r\n  \r\n\r\n\r\n\r\n\r\n      \r\n     \r\n","description_html":"\u003cp\u003eCreate 3d pyramid of ones and zeros...where pyramid-part is denoted by ones and outer-part is denoted by zeros..where base is square-shaped.. now show the the CROSS-SECTION of the pyramid on the XZ plane...input n is the side of the square base of the pyramid..\u003c/p\u003e\u003cpre\u003e    input= 3  output= 0 1 0\r\n                      1 1 1\u003c/pre\u003e","function_template":"function xz = your_fcn_name(n)\r\n  xz = x;\r\nend","test_suite":"%%\r\nn = 1;\r\ny_correct = 1;\r\nassert(isequal(your_fcn_name(n),y_correct))\r\n%%\r\nn = 7;\r\ny_correct =  [0     0     0     1     0     0     0;\r\n              0     0     1     1     1     0     0;\r\n              0     1     1     1     1     1     0;\r\n              1     1     1     1     1     1     1];\r\nassert(isequal(your_fcn_name(n),y_correct))\r\n%%\r\nn = 6;\r\ny_correct =  [0     0     1     1     0     0;\r\n     0     1     1     1     1     0;\r\n     1     1     1     1     1     1];\r\nassert(isequal(your_fcn_name(n),y_correct))\r\n%%\r\nn = 10;\r\ny_correct =    [0     0     0     0     1     1     0     0     0     0;\r\n     0     0     0     1     1     1     1     0     0     0;\r\n     0     0     1     1     1     1     1     1     0     0;\r\n     0     1     1     1     1     1     1     1     1     0;\r\n     1     1     1     1     1     1     1     1     1     1];\r\nassert(isequal(your_fcn_name(n),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":3,"created_by":432893,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":24,"test_suite_updated_at":"2020-05-02T19:20:33.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-05-02T19:13:06.000Z","updated_at":"2026-01-03T16:00:01.000Z","published_at":"2020-05-02T19:13:45.000Z","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\u003eCreate 3d pyramid of ones and zeros...where pyramid-part is denoted by ones and outer-part is denoted by zeros..where base is square-shaped.. now show the the CROSS-SECTION of the pyramid on the XZ plane...input n is the side of the square base of the pyramid..\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= 3  output= 0 1 0\\n                      1 1 1]]\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\"}]}"},{"id":45489,"title":"Top layer of a 3D pyramid ","description":"create a 3D pyramid(x,y,z) of ones(1) and zeros(0)...where pyramid part is denoted by one....nd find the top layer(x,y) of the pyramid...base of the pyramid is square shape of size(n,n) ...where n is the input. ","description_html":"\u003cp\u003ecreate a 3D pyramid(x,y,z) of ones(1) and zeros(0)...where pyramid part is denoted by one....nd find the top layer(x,y) of the pyramid...base of the pyramid is square shape of size(n,n) ...where n is the input.\u003c/p\u003e","function_template":"function top = your_fcn_name(n)\r\ntop= x*y;\r\nend","test_suite":"%%\r\nx = 1;\r\ny_correct = 1;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx = 5;\r\ny_correct = [0     0     0     0     0;\r\n     0     0     0     0     0;\r\n     0     0     1     0     0;\r\n     0     0     0     0     0;\r\n     0     0     0     0     0];\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx = 10;\r\ny_correct =[0     0     0     0     0     0     0     0     0     0;\r\n     0     0     0     0     0     0     0     0     0     0;\r\n     0     0     0     0     0     0     0     0     0     0;\r\n     0     0     0     0     0     0     0     0     0     0;\r\n     0     0     0     0     1     1     0     0     0     0;\r\n     0     0     0     0     1     1     0     0     0     0;\r\n     0     0     0     0     0     0     0     0     0     0;\r\n     0     0     0     0     0     0     0     0     0     0;\r\n     0     0     0     0     0     0     0     0     0     0;\r\n     0     0     0     0     0     0     0     0     0     0];\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":432893,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":24,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-04-30T20:57:41.000Z","updated_at":"2026-03-16T13:35:26.000Z","published_at":"2020-04-30T20:57:41.000Z","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\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"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\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\u003ecreate a 3D pyramid(x,y,z) of ones(1) and zeros(0)...where pyramid part is denoted by one....nd find the top layer(x,y) of the pyramid...base of the pyramid is square shape of size(n,n) ...where n is the input.\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\\\" 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