{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-05-26T00:16:20.000Z","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":"2026-05-26T00:00:00.000Z","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":543,"title":"deconvolution","description":"* Suppose there is a vector v like [1 0 0 -1], representing polynomial coefficients.\r\n* In this example, the polynimial is 1*x^3+0*x^2+0*x-1 or (x^3-1).\r\n* Suppose there is another vector w like [1 -1].\r\n* In this example, the second polynomial is (x-1).\r\n* If x is any integer then the polynomial represented by (v/w) is integer?\r\n ","description_html":"\u003cul\u003e\u003cli\u003eSuppose there is a vector v like [1 0 0 -1], representing polynomial coefficients.\u003c/li\u003e\u003cli\u003eIn this example, the polynimial is 1*x^3+0*x^2+0*x-1 or (x^3-1).\u003c/li\u003e\u003cli\u003eSuppose there is another vector w like [1 -1].\u003c/li\u003e\u003cli\u003eIn this example, the second polynomial is (x-1).\u003c/li\u003e\u003cli\u003eIf x is any integer then the polynomial represented by (v/w) is integer?\u003c/li\u003e\u003c/ul\u003e","function_template":"function yesno = integ(v,w)\r\n  yesno=1==1/1; % yes\r\n  yesno=1==1/2; % no\r\nend","test_suite":"%%\r\nv=[1 0 0 -1];\r\nw=[1 -1];\r\nassert(integ(v,w))\r\n%%\r\nv=[2 9 6 -1 16 -5];\r\nw=[2 3 -1 5];\r\nassert(integ(v,w))\r\n%%\r\nv=[1 4 10 20 35 50 58 58 49 30];\r\nw=1:6;\r\nassert(integ(v,w))\r\n%%\r\nv=1:10;\r\nw=1:6;\r\nassert(~integ(v,w))\r\n%%\r\nv=3:12;\r\nw=-3:2;\r\nassert(~integ(v,w))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":166,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":62,"test_suite_updated_at":"2012-03-31T22:38:54.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2012-03-31T22:38:54.000Z","updated_at":"2026-05-25T23:54:01.000Z","published_at":"2012-03-31T22:38:54.000Z","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=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSuppose there is a vector v like [1 0 0 -1], representing polynomial coefficients.\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\u003eIn this example, the polynimial is 1*x^3+0*x^2+0*x-1 or (x^3-1).\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\u003eSuppose there is another vector w like [1 -1].\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\u003eIn this example, the second polynomial is (x-1).\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 x is any integer then the polynomial represented by (v/w) is integer?\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":{"problems":[{"id":543,"title":"deconvolution","description":"* Suppose there is a vector v like [1 0 0 -1], representing polynomial coefficients.\r\n* In this example, the polynimial is 1*x^3+0*x^2+0*x-1 or (x^3-1).\r\n* Suppose there is another vector w like [1 -1].\r\n* In this example, the second polynomial is (x-1).\r\n* If x is any integer then the polynomial represented by (v/w) is integer?\r\n ","description_html":"\u003cul\u003e\u003cli\u003eSuppose there is a vector v like [1 0 0 -1], representing polynomial coefficients.\u003c/li\u003e\u003cli\u003eIn this example, the polynimial is 1*x^3+0*x^2+0*x-1 or (x^3-1).\u003c/li\u003e\u003cli\u003eSuppose there is another vector w like [1 -1].\u003c/li\u003e\u003cli\u003eIn this example, the second polynomial is (x-1).\u003c/li\u003e\u003cli\u003eIf x is any integer then the polynomial represented by (v/w) is integer?\u003c/li\u003e\u003c/ul\u003e","function_template":"function yesno = integ(v,w)\r\n  yesno=1==1/1; % yes\r\n  yesno=1==1/2; % no\r\nend","test_suite":"%%\r\nv=[1 0 0 -1];\r\nw=[1 -1];\r\nassert(integ(v,w))\r\n%%\r\nv=[2 9 6 -1 16 -5];\r\nw=[2 3 -1 5];\r\nassert(integ(v,w))\r\n%%\r\nv=[1 4 10 20 35 50 58 58 49 30];\r\nw=1:6;\r\nassert(integ(v,w))\r\n%%\r\nv=1:10;\r\nw=1:6;\r\nassert(~integ(v,w))\r\n%%\r\nv=3:12;\r\nw=-3:2;\r\nassert(~integ(v,w))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":166,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":62,"test_suite_updated_at":"2012-03-31T22:38:54.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2012-03-31T22:38:54.000Z","updated_at":"2026-05-25T23:54:01.000Z","published_at":"2012-03-31T22:38:54.000Z","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=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSuppose there is a vector v like [1 0 0 -1], representing polynomial coefficients.\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\u003eIn this example, the polynimial is 1*x^3+0*x^2+0*x-1 or (x^3-1).\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\u003eSuppose there is another vector w like [1 -1].\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\u003eIn this example, the second polynomial is (x-1).\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 x is any integer then the polynomial represented by (v/w) is integer?\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\"}]}"}],"errors":[],"facets":[[],[{"value":"medium","count":1,"selected":false}]],"term":"tag:\"deconvolution\"","page":1,"per_page":50,"sort":"map(difficulty_value,0,0,999) asc"}}