{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-04-16T00:12:35.000Z","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":"2026-04-16T00:00:00.000Z","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":42323,"title":"With apologies to William Blake","description":"\r\n Coder Coder, typing fast\r\n Sitting at your desk, aghast.\r\n What immortal MATLAB script\r\n will solve this problem, nice and quick?\r\n\r\nYou are given a number. Your task is to write a MATLAB script that will calculate the smallest positive number you need to add to your original number so that each digit in your sum will have horizontal symmetry. For this problem, those numbers are [0 1 3 8]\r\n\r\nFor example:\r\n\r\n*     If you are given 27, your script should output 3, as 27+3=30. Both 3 and 0 have horizontal symmetry.\r\n*     If you are given 801, your script should output 0, as 801+0=801. 8, 0 and 1 are all horizontally symmetric.\r\n*     If you are given 900, your answer should be 100, as 900+100=1000, which is the next highest number that is horizontally symmetric.\r\n\r\nGood luck. May you become a poet, and not even know it.\r\n","description_html":"\u003cpre\u003e Coder Coder, typing fast\r\n Sitting at your desk, aghast.\r\n What immortal MATLAB script\r\n will solve this problem, nice and quick?\u003c/pre\u003e\u003cp\u003eYou are given a number. Your task is to write a MATLAB script that will calculate the smallest positive number you need to add to your original number so that each digit in your sum will have horizontal symmetry. For this problem, those numbers are [0 1 3 8]\u003c/p\u003e\u003cp\u003eFor example:\u003c/p\u003e\u003cul\u003e\u003cli\u003eIf you are given 27, your script should output 3, as 27+3=30. Both 3 and 0 have horizontal symmetry.\u003c/li\u003e\u003cli\u003eIf you are given 801, your script should output 0, as 801+0=801. 8, 0 and 1 are all horizontally symmetric.\u003c/li\u003e\u003cli\u003eIf you are given 900, your answer should be 100, as 900+100=1000, which is the next highest number that is horizontally symmetric.\u003c/li\u003e\u003c/ul\u003e\u003cp\u003eGood luck. May you become a poet, and not even know it.\u003c/p\u003e","function_template":"function y = symmetry(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nassert(isequal(symmetry(27),3))\r\n%%\r\nassert(isequal(symmetry(801),0))\r\n%%\r\nassert(isequal(symmetry(900),100))\r\n%%\r\nassert(isequal(symmetry(88887),1))\r\n%%\r\nassert(isequal(symmetry(1234567),65433))\r\n%%\r\nassert(isequal(symmetry(34567890),3432110))\r\n%%\r\nformat long g\r\nx=ceil(1e9*rand);\r\nj=389e9+x\r\nassert(isequal(8e11-symmetry(j),j))\r\n%%\r\nformat long g\r\nx=ceil(1e10*rand);\r\nj=889e10+x\r\nv=symmetry(j);\r\nassert(isequal(1e13-v,j))\r\n%%\r\nx=2^40-1;\r\nassert(isequal(symmetry(symmetry(symmetry(symmetry(x)))),7775))","published":true,"deleted":false,"likes_count":10,"comments_count":6,"created_by":1615,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":79,"test_suite_updated_at":"2015-05-22T12:38:06.000Z","rescore_all_solutions":false,"group_id":45,"created_at":"2015-05-20T19:03:13.000Z","updated_at":"2026-03-16T03:57:06.000Z","published_at":"2015-05-20T19:09:46.000Z","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=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ Coder Coder, typing fast\\n Sitting at your desk, aghast.\\n What immortal MATLAB script\\n will solve this problem, nice and quick?]]\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\u003eYou are given a number. Your task is to write a MATLAB script that will calculate the smallest positive number you need to add to your original number so that each digit in your sum will have horizontal symmetry. For this problem, those numbers are [0 1 3 8]\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\u003eFor example:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf you are given 27, your script should output 3, as 27+3=30. Both 3 and 0 have horizontal symmetry.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf you are given 801, your script should output 0, as 801+0=801. 8, 0 and 1 are all horizontally symmetric.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf you are given 900, your answer should be 100, as 900+100=1000, which is the next highest number that is horizontally symmetric.\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\u003eGood luck. May you become a poet, and not even know it.\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":42323,"title":"With apologies to William Blake","description":"\r\n Coder Coder, typing fast\r\n Sitting at your desk, aghast.\r\n What immortal MATLAB script\r\n will solve this problem, nice and quick?\r\n\r\nYou are given a number. Your task is to write a MATLAB script that will calculate the smallest positive number you need to add to your original number so that each digit in your sum will have horizontal symmetry. For this problem, those numbers are [0 1 3 8]\r\n\r\nFor example:\r\n\r\n*     If you are given 27, your script should output 3, as 27+3=30. Both 3 and 0 have horizontal symmetry.\r\n*     If you are given 801, your script should output 0, as 801+0=801. 8, 0 and 1 are all horizontally symmetric.\r\n*     If you are given 900, your answer should be 100, as 900+100=1000, which is the next highest number that is horizontally symmetric.\r\n\r\nGood luck. May you become a poet, and not even know it.\r\n","description_html":"\u003cpre\u003e Coder Coder, typing fast\r\n Sitting at your desk, aghast.\r\n What immortal MATLAB script\r\n will solve this problem, nice and quick?\u003c/pre\u003e\u003cp\u003eYou are given a number. Your task is to write a MATLAB script that will calculate the smallest positive number you need to add to your original number so that each digit in your sum will have horizontal symmetry. For this problem, those numbers are [0 1 3 8]\u003c/p\u003e\u003cp\u003eFor example:\u003c/p\u003e\u003cul\u003e\u003cli\u003eIf you are given 27, your script should output 3, as 27+3=30. Both 3 and 0 have horizontal symmetry.\u003c/li\u003e\u003cli\u003eIf you are given 801, your script should output 0, as 801+0=801. 8, 0 and 1 are all horizontally symmetric.\u003c/li\u003e\u003cli\u003eIf you are given 900, your answer should be 100, as 900+100=1000, which is the next highest number that is horizontally symmetric.\u003c/li\u003e\u003c/ul\u003e\u003cp\u003eGood luck. May you become a poet, and not even know it.\u003c/p\u003e","function_template":"function y = symmetry(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nassert(isequal(symmetry(27),3))\r\n%%\r\nassert(isequal(symmetry(801),0))\r\n%%\r\nassert(isequal(symmetry(900),100))\r\n%%\r\nassert(isequal(symmetry(88887),1))\r\n%%\r\nassert(isequal(symmetry(1234567),65433))\r\n%%\r\nassert(isequal(symmetry(34567890),3432110))\r\n%%\r\nformat long g\r\nx=ceil(1e9*rand);\r\nj=389e9+x\r\nassert(isequal(8e11-symmetry(j),j))\r\n%%\r\nformat long g\r\nx=ceil(1e10*rand);\r\nj=889e10+x\r\nv=symmetry(j);\r\nassert(isequal(1e13-v,j))\r\n%%\r\nx=2^40-1;\r\nassert(isequal(symmetry(symmetry(symmetry(symmetry(x)))),7775))","published":true,"deleted":false,"likes_count":10,"comments_count":6,"created_by":1615,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":79,"test_suite_updated_at":"2015-05-22T12:38:06.000Z","rescore_all_solutions":false,"group_id":45,"created_at":"2015-05-20T19:03:13.000Z","updated_at":"2026-03-16T03:57:06.000Z","published_at":"2015-05-20T19:09:46.000Z","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=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ Coder Coder, typing fast\\n Sitting at your desk, aghast.\\n What immortal MATLAB script\\n will solve this problem, nice and quick?]]\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\u003eYou are given a number. Your task is to write a MATLAB script that will calculate the smallest positive number you need to add to your original number so that each digit in your sum will have horizontal symmetry. For this problem, those numbers are [0 1 3 8]\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\u003eFor example:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf you are given 27, your script should output 3, as 27+3=30. Both 3 and 0 have horizontal symmetry.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf you are given 801, your script should output 0, as 801+0=801. 8, 0 and 1 are all horizontally symmetric.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf you are given 900, your answer should be 100, as 900+100=1000, which is the next highest number that is horizontally symmetric.\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\u003eGood luck. 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