{"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":1277,"title":"How many days does the cat take to climb out of the hole?","description":"A cat accidentally falls down a hole with sloping but rough sides. It can climb out of the hole of height h metres, but for every m metres it jumps, it falls back n metres where m is always bigger than n. It can only do one jump attempt per day and it is assumed that there is a small water source available to sustain it along the way.:) That said, how many days does it require to escape the hole?\r\n\r\nNB: the cat must be clear of the hole or above it to escape so reaching exactly level with the hole opening it will still fall back down n metres.\r\n\r\nHINT: once the cat is clear of the hole with its last jump it will \r\nnot fall back into the hole.\r\n\r\nEX: \r\n\u003e\u003e h = 20; m = 5; n = 3;\r\n\r\n\u003e\u003e catdays(20,5,3)\r\n\r\nans = 9 \r\n\r\n\r\n\r\n\r\n","description_html":"\u003cp\u003eA cat accidentally falls down a hole with sloping but rough sides. It can climb out of the hole of height h metres, but for every m metres it jumps, it falls back n metres where m is always bigger than n. It can only do one jump attempt per day and it is assumed that there is a small water source available to sustain it along the way.:) That said, how many days does it require to escape the hole?\u003c/p\u003e\u003cp\u003eNB: the cat must be clear of the hole or above it to escape so reaching exactly level with the hole opening it will still fall back down n metres.\u003c/p\u003e\u003cp\u003eHINT: once the cat is clear of the hole with its last jump it will \r\nnot fall back into the hole.\u003c/p\u003e\u003cp\u003eEX: \r\n\u003e\u003e h = 20; m = 5; n = 3;\u003c/p\u003e\u003cp\u003e\u003e\u003e catdays(20,5,3)\u003c/p\u003e\u003cp\u003eans = 9\u003c/p\u003e","function_template":"function y = catdays(x)\r\n  y = x;\r\nend","test_suite":"%% test 1\r\nh = 20; m=5; n=3;\r\ny_correct = 9;\r\nassert(isequal(catdays(h,m,n),y_correct))\r\n%% test 2\r\nh = 15; m=6; n=1;\r\ny_correct = 3;\r\nassert(isequal(catdays(h,m,n),y_correct))\r\n%% test 3\r\nh = 25; m=6; n=5;\r\ny_correct = 21;\r\nassert(isequal(catdays(h,m,n),y_correct))\r\n%% test 4\r\nh = 22; m=6; n=5;\r\ny_correct = 18;\r\nassert(isequal(catdays(h,m,n),y_correct))\r\n%% test 5\r\nh = 31; m=8; n=5;\r\ny_correct = 9;\r\nassert(isequal(catdays(h,m,n),y_correct))","published":true,"deleted":false,"likes_count":4,"comments_count":4,"created_by":1103,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":82,"test_suite_updated_at":"2013-02-16T23:50:19.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2013-02-16T23:21:38.000Z","updated_at":"2026-04-20T13:31:06.000Z","published_at":"2013-02-16T23:44:21.000Z","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\u003eA cat accidentally falls down a hole with sloping but rough sides. It can climb out of the hole of height h metres, but for every m metres it jumps, it falls back n metres where m is always bigger than n. It can only do one jump attempt per day and it is assumed that there is a small water source available to sustain it along the way.:) That said, how many days does it require to escape the hole?\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\u003eNB: the cat must be clear of the hole or above it to escape so reaching exactly level with the hole opening it will still fall back down n metres.\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\u003eHINT: once the cat is clear of the hole with its last jump it will not fall back into the hole.\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\u003eEX: \u003e\u003e h = 20; m = 5; n = 3;\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\u003e\u003e\u003e catdays(20,5,3)\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\u003eans = 9\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":1277,"title":"How many days does the cat take to climb out of the hole?","description":"A cat accidentally falls down a hole with sloping but rough sides. It can climb out of the hole of height h metres, but for every m metres it jumps, it falls back n metres where m is always bigger than n. It can only do one jump attempt per day and it is assumed that there is a small water source available to sustain it along the way.:) That said, how many days does it require to escape the hole?\r\n\r\nNB: the cat must be clear of the hole or above it to escape so reaching exactly level with the hole opening it will still fall back down n metres.\r\n\r\nHINT: once the cat is clear of the hole with its last jump it will \r\nnot fall back into the hole.\r\n\r\nEX: \r\n\u003e\u003e h = 20; m = 5; n = 3;\r\n\r\n\u003e\u003e catdays(20,5,3)\r\n\r\nans = 9 \r\n\r\n\r\n\r\n\r\n","description_html":"\u003cp\u003eA cat accidentally falls down a hole with sloping but rough sides. It can climb out of the hole of height h metres, but for every m metres it jumps, it falls back n metres where m is always bigger than n. It can only do one jump attempt per day and it is assumed that there is a small water source available to sustain it along the way.:) That said, how many days does it require to escape the hole?\u003c/p\u003e\u003cp\u003eNB: the cat must be clear of the hole or above it to escape so reaching exactly level with the hole opening it will still fall back down n metres.\u003c/p\u003e\u003cp\u003eHINT: once the cat is clear of the hole with its last jump it will \r\nnot fall back into the hole.\u003c/p\u003e\u003cp\u003eEX: \r\n\u003e\u003e h = 20; m = 5; n = 3;\u003c/p\u003e\u003cp\u003e\u003e\u003e catdays(20,5,3)\u003c/p\u003e\u003cp\u003eans = 9\u003c/p\u003e","function_template":"function y = catdays(x)\r\n  y = x;\r\nend","test_suite":"%% test 1\r\nh = 20; m=5; n=3;\r\ny_correct = 9;\r\nassert(isequal(catdays(h,m,n),y_correct))\r\n%% test 2\r\nh = 15; m=6; n=1;\r\ny_correct = 3;\r\nassert(isequal(catdays(h,m,n),y_correct))\r\n%% test 3\r\nh = 25; m=6; n=5;\r\ny_correct = 21;\r\nassert(isequal(catdays(h,m,n),y_correct))\r\n%% test 4\r\nh = 22; m=6; n=5;\r\ny_correct = 18;\r\nassert(isequal(catdays(h,m,n),y_correct))\r\n%% test 5\r\nh = 31; m=8; n=5;\r\ny_correct = 9;\r\nassert(isequal(catdays(h,m,n),y_correct))","published":true,"deleted":false,"likes_count":4,"comments_count":4,"created_by":1103,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":82,"test_suite_updated_at":"2013-02-16T23:50:19.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2013-02-16T23:21:38.000Z","updated_at":"2026-04-20T13:31:06.000Z","published_at":"2013-02-16T23:44:21.000Z","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\u003eA cat accidentally falls down a hole with sloping but rough sides. It can climb out of the hole of height h metres, but for every m metres it jumps, it falls back n metres where m is always bigger than n. It can only do one jump attempt per day and it is assumed that there is a small water source available to sustain it along the way.:) That said, how many days does it require to escape the hole?\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\u003eNB: the cat must be clear of the hole or above it to escape so reaching exactly level with the hole opening it will still fall back down n metres.\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\u003eHINT: once the cat is clear of the hole with its last jump it will not fall back into the hole.\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\u003eEX: \u003e\u003e h = 20; m = 5; n = 3;\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\u003e\u003e\u003e catdays(20,5,3)\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\u003eans = 9\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":"easy","count":1,"selected":false}]],"term":"tag:\"scalar division\"","page":1,"per_page":50,"sort":"map(difficulty_value,0,0,999) asc"}}