{"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":43967,"title":"Compound interest - number e","description":"A moneylender wants to receive his annual interest of 12% more frequently.\r\n\r\nIf he receives his interest rate every six months, he will receive 6% each time (12%/2).\r\n\r\nHe wants to know how much will he win during a year if he received his interest every year (n=1), every six months (n=2), every month (n=12), every week (n=52), every day (n=365) and every second (n=31536000). These will be the test cases.","description_html":"\u003cp\u003eA moneylender wants to receive his annual interest of 12% more frequently.\u003c/p\u003e\u003cp\u003eIf he receives his interest rate every six months, he will receive 6% each time (12%/2).\u003c/p\u003e\u003cp\u003eHe wants to know how much will he win during a year if he received his interest every year (n=1), every six months (n=2), every month (n=12), every week (n=52), every day (n=365) and every second (n=31536000). These will be the test cases.\u003c/p\u003e","function_template":"function y = compound(n)\r\n  y = exp(0.12); % This would be the solution if n=inf;\r\nend","test_suite":"%%\r\nn = 1;\r\ny_ok = 1.12;\r\nassert(abs(compound(n)-y_ok)\u003c1e-9);\r\n\r\n%%\r\nn = 2;\r\ny_ok = 1.1236;\r\nassert(abs(compound(n)-y_ok)\u003c1e-9);\r\n\r\n%%\r\nn = 12;\r\ny_ok = 1.126825030132;\r\nassert(abs(compound(n)-y_ok)\u003c1e-9);\r\n\r\n%%\r\nn = 52;\r\ny_ok = 1.127340987167;\r\nassert(abs(compound(n)-y_ok)\u003c1e-9);\r\n\r\n%%\r\nn = 365;\r\ny_ok = 1.127474615638;\r\nassert(abs(compound(n)-y_ok)\u003c1e-9);\r\n\r\n%%\r\nn = 31536000;\r\ny_ok = 1.1274968514306000;\r\nassert(abs(compound(n)-y_ok)\u003c1e-9);","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":12767,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":43,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2016-12-25T20:20:55.000Z","updated_at":"2026-05-29T02:43:36.000Z","published_at":"2016-12-25T20:20:55.000Z","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 moneylender wants to receive his annual interest of 12% more frequently.\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\u003eIf he receives his interest rate every six months, he will receive 6% each time (12%/2).\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\u003eHe wants to know how much will he win during a year if he received his interest every year (n=1), every six months (n=2), every month (n=12), every week (n=52), every day (n=365) and every second (n=31536000). These will be the test cases.\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":61348,"title":"Basic Physics I","description":"Calculate the energy by the famous formula of Albert Einstein.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 401px 10.5px; transform-origin: 401px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 377px 10.5px; text-align: left; transform-origin: 377px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003eCalculate the energy by the famous formula of Albert Einstein.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"c = 300000\r\nfunction E = E(m)\r\n  E = ;\r\nend","test_suite":"%%\r\nm = 1;\r\nE = 90000000000;\r\nassert(isequal(E(m),E))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":5122697,"edited_by":5122697,"edited_at":"2026-05-26T12:35:46.000Z","deleted_by":null,"deleted_at":null,"solvers_count":11,"test_suite_updated_at":"2026-05-23T17:28:56.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2026-05-23T17:19:37.000Z","updated_at":"2026-05-30T03:50:39.000Z","published_at":"2026-05-23T17:23:28.000Z","restored_at":null,"restored_by":null,"spam":null,"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:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCalculate the energy by the famous formula of Albert Einstein.\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":43968,"title":"Concatenated roots","description":"Which is the value of this infinte concatenated roots?\r\n\r\n\u003c\u003chttps://s27.postimg.org/i4hkin7xf/Code_Cogs_Eqn.gif\u003e\u003e\r\n\r\n\r\nNote: If image server is not available, the equation was:\r\n\r\n  x*sqrt(x*cuberoot(x*fourthroot(x*fifthroot(x*sixthroot(...)))))\r\n\r\nTip: sum(1/n!)","description_html":"\u003cp\u003eWhich is the value of this infinte concatenated roots?\u003c/p\u003e\u003cimg src = \"https://s27.postimg.org/i4hkin7xf/Code_Cogs_Eqn.gif\"\u003e\u003cp\u003eNote: If image server is not available, the equation was:\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003ex*sqrt(x*cuberoot(x*fourthroot(x*fifthroot(x*sixthroot(...)))))\r\n\u003c/pre\u003e\u003cp\u003eTip: sum(1/n!)\u003c/p\u003e","function_template":"function y = infinteroots(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 1;\r\ny = 1;\r\nassert(abs(infinteroots(x)-y)\u003c1e-11)\r\n\r\n%%\r\nx = 10;\r\ny = 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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\u003eWhich is the value of this infinte concatenated roots?\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:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\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\u003eNote: If image server is not available, the equation 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type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"},{\"partUri\":\"/media/image1.gif\",\"contentType\":\"image/gif\",\"content\":\"data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAMAAABEpIrGAAAAGXRFWHRTb2Z0d2FyZQBBZG9iZSBJbWFnZVJlYWR5ccllPAAAAC1QTFRFeHh4k5OT9vb2gYGBnJycwMDAt7e3ioqK0tLS7e3t29vb5OTkycnJ////b29vvCMpXwAAAKZJREFUeNq8k0sWwyAIAEXzh3D/41ZrahASklXZ6cxTEAz8EOGFsDvxTyECM0RHgJIwOEIt6VFYX19BAd0kKe8vTpn0vY9uheXoQjGYrICtf9mg3Qgo+kt12fE4sxQwaGFQXCdJmmshaV4EnKYxmgMO/pvJVJ92NrwNbSpnrJafUz1kYbRcjP121ii4EKDVIPnVx+n4hdBzKyhuBM21YLgSLOePAAMAW0UziCh1I3kAAAAASUVORK5CYII=\"}]}"},{"id":44679,"title":"Draw 'E'","description":"Draw a x-by-x matrix 'E' using 1 and 0. (x is odd and bigger than 4)\r\n\r\nExample:\r\n\r\n  x=5\r\n  ans=\r\n  [1 1 1 1 1\r\n   1 0 0 0 0\r\n   1 1 1 1 1\r\n   1 0 0 0 0\r\n   1 1 1 1 1]\r\n  \r\n  x=7\r\n  ans=\r\n  [1 1 1 1 1 1 1\r\n   1 0 0 0 0 0 0\r\n   1 0 0 0 0 0 0\r\n   1 1 1 1 1 1 1 \r\n   1 0 0 0 0 0 0\r\n   1 0 0 0 0 0 0\r\n   1 1 1 1 1 1 1]","description_html":"\u003cp\u003eDraw a x-by-x matrix 'E' using 1 and 0. (x is odd and bigger than 4)\u003c/p\u003e\u003cp\u003eExample:\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003ex=5\r\nans=\r\n[1 1 1 1 1\r\n 1 0 0 0 0\r\n 1 1 1 1 1\r\n 1 0 0 0 0\r\n 1 1 1 1 1]\r\n\u003c/pre\u003e\u003cpre class=\"language-matlab\"\u003ex=7\r\nans=\r\n[1 1 1 1 1 1 1\r\n 1 0 0 0 0 0 0\r\n 1 0 0 0 0 0 0\r\n 1 1 1 1 1 1 1 \r\n 1 0 0 0 0 0 0\r\n 1 0 0 0 0 0 0\r\n 1 1 1 1 1 1 1]\r\n\u003c/pre\u003e","function_template":"function y = your_fcn_name(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 5;\r\ny_correct = ...\r\n[1 1 1 1 1\r\n 1 0 0 0 0\r\n 1 1 1 1 1\r\n 1 0 0 0 0\r\n 1 1 1 1 1];\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx = 7;\r\ny_correct = ...\r\n[1 1 1 1 1 1 1\r\n 1 0 0 0 0 0 0\r\n 1 0 0 0 0 0 0\r\n 1 1 1 1 1 1 1 \r\n 1 0 0 0 0 0 0\r\n 1 0 0 0 0 0 0\r\n 1 1 1 1 1 1 1]\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx = 11;\r\ny_correct = ...\r\n[1 1 1 1 1 1 1 1 1 1 1\r\n 1 0 0 0 0 0 0 0 0 0 0\r\n 1 0 0 0 0 0 0 0 0 0 0\r\n 1 0 0 0 0 0 0 0 0 0 0\r\n 1 0 0 0 0 0 0 0 0 0 0\r\n 1 1 1 1 1 1 1 1 1 1 1\r\n 1 0 0 0 0 0 0 0 0 0 0\r\n 1 0 0 0 0 0 0 0 0 0 0\r\n 1 0 0 0 0 0 0 0 0 0 0\r\n 1 0 0 0 0 0 0 0 0 0 0\r\n 1 1 1 1 1 1 1 1 1 1 1]\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":16,"comments_count":1,"created_by":218677,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":1124,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":46,"created_at":"2018-06-07T10:39:15.000Z","updated_at":"2026-05-24T19:48:20.000Z","published_at":"2018-06-07T10:39:15.000Z","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\u003eDraw a x-by-x matrix 'E' using 1 and 0. (x is odd and bigger than 4)\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\u003eExample:\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[x=5\\nans=\\n[1 1 1 1 1\\n 1 0 0 0 0\\n 1 1 1 1 1\\n 1 0 0 0 0\\n 1 1 1 1 1]\\n\\nx=7\\nans=\\n[1 1 1 1 1 1 1\\n 1 0 0 0 0 0 0\\n 1 0 0 0 0 0 0\\n 1 1 1 1 1 1 1 \\n 1 0 0 0 0 0 0\\n 1 0 0 0 0 0 0\\n 1 1 1 1 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":42807,"title":"Approximate e","description":"Given a and n, compute and approximation to f = a * e ^ n, without the use of exp, string operations, or floating point numbers.\r\n\r\nExample:\r\n\r\na = 1\r\n\r\nn = 1\r\n\r\nf = 2.71828","description_html":"\u003cp\u003eGiven a and n, compute and approximation to f = a * e ^ n, without the use of exp, string operations, or floating point numbers.\u003c/p\u003e\u003cp\u003eExample:\u003c/p\u003e\u003cp\u003ea = 1\u003c/p\u003e\u003cp\u003en = 1\u003c/p\u003e\u003cp\u003ef = 2.71828\u003c/p\u003e","function_template":"function f = approx_e(a,n)\r\n  f = a * n;\r\nend","test_suite":"%%\r\na = 1;\r\nn = 1;\r\nf_correct = a*exp(n);\r\nassert(abs(approx_e(a,n)-f_correct)\u003c.001)\r\n\r\n%%\r\na = 2^18;\r\nn = 0;\r\nf_correct = a*exp(n);\r\nassert(abs(approx_e(a,n)-f_correct)\u003c.001)\r\n\r\n%%\r\na = pi;\r\nn = pi;\r\nf_correct = a*exp(n);\r\nassert(abs(approx_e(a,n)-f_correct)\u003c.001)\r\n\r\n%%\r\na = -exp(1);\r\nn = exp(2);\r\nf_correct = a*exp(n);\r\nassert(abs(approx_e(a,n)-f_correct)\u003c.001)\r\n\r\n%%\r\nfiletext = fileread('approx_e.m');\r\nassert(isempty(strfind(filetext,'exp')))\r\nassert(isempty(strfind(filetext,'str')))\r\nassert(isempty(strfind(filetext,'cat')))\r\nassert(isempty(strfind(filetext,'feval')))\r\nassert(all(cellfun(@(z)str2num(z)==round(str2num(z)),regexp(filetext,'[0123456789.]+','match'))))\r\nassert(isempty(regexp(filetext,'\\d+e')))","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":15521,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":62,"test_suite_updated_at":"2016-04-19T11:46:46.000Z","rescore_all_solutions":true,"group_id":1,"created_at":"2016-04-18T05:23:45.000Z","updated_at":"2026-05-18T14:05:16.000Z","published_at":"2016-04-18T05:24:25.000Z","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\u003eGiven a and n, compute and approximation to f = a * e ^ n, without the use of exp, string operations, or floating point numbers.\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\u003eExample:\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\u003ea = 1\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\u003en = 1\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\u003ef = 2.71828\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":43967,"title":"Compound interest - number e","description":"A moneylender wants to receive his annual interest of 12% more frequently.\r\n\r\nIf he receives his interest rate every six months, he will receive 6% each time (12%/2).\r\n\r\nHe wants to know how much will he win during a year if he received his interest every year (n=1), every six months (n=2), every month (n=12), every week (n=52), every day (n=365) and every second (n=31536000). These will be the test cases.","description_html":"\u003cp\u003eA moneylender wants to receive his annual interest of 12% more frequently.\u003c/p\u003e\u003cp\u003eIf he receives his interest rate every six months, he will receive 6% each time (12%/2).\u003c/p\u003e\u003cp\u003eHe wants to know how much will he win during a year if he received his interest every year (n=1), every six months (n=2), every month (n=12), every week (n=52), every day (n=365) and every second (n=31536000). These will be the test cases.\u003c/p\u003e","function_template":"function y = compound(n)\r\n  y = exp(0.12); % This would be the solution if n=inf;\r\nend","test_suite":"%%\r\nn = 1;\r\ny_ok = 1.12;\r\nassert(abs(compound(n)-y_ok)\u003c1e-9);\r\n\r\n%%\r\nn = 2;\r\ny_ok = 1.1236;\r\nassert(abs(compound(n)-y_ok)\u003c1e-9);\r\n\r\n%%\r\nn = 12;\r\ny_ok = 1.126825030132;\r\nassert(abs(compound(n)-y_ok)\u003c1e-9);\r\n\r\n%%\r\nn = 52;\r\ny_ok = 1.127340987167;\r\nassert(abs(compound(n)-y_ok)\u003c1e-9);\r\n\r\n%%\r\nn = 365;\r\ny_ok = 1.127474615638;\r\nassert(abs(compound(n)-y_ok)\u003c1e-9);\r\n\r\n%%\r\nn = 31536000;\r\ny_ok = 1.1274968514306000;\r\nassert(abs(compound(n)-y_ok)\u003c1e-9);","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":12767,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":43,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2016-12-25T20:20:55.000Z","updated_at":"2026-05-29T02:43:36.000Z","published_at":"2016-12-25T20:20:55.000Z","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 moneylender wants to receive his annual interest of 12% more frequently.\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\u003eIf he receives his interest rate every six months, he will receive 6% each time (12%/2).\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\u003eHe wants to know how much will he win during a year if he received his interest every year (n=1), every six months (n=2), every month (n=12), every week (n=52), every day (n=365) and every second (n=31536000). These will be the test cases.\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":61348,"title":"Basic Physics I","description":"Calculate the energy by the famous formula of Albert Einstein.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 401px 10.5px; transform-origin: 401px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 377px 10.5px; text-align: left; transform-origin: 377px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003eCalculate the energy by the famous formula of Albert Einstein.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"c = 300000\r\nfunction E = E(m)\r\n  E = ;\r\nend","test_suite":"%%\r\nm = 1;\r\nE = 90000000000;\r\nassert(isequal(E(m),E))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":5122697,"edited_by":5122697,"edited_at":"2026-05-26T12:35:46.000Z","deleted_by":null,"deleted_at":null,"solvers_count":11,"test_suite_updated_at":"2026-05-23T17:28:56.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2026-05-23T17:19:37.000Z","updated_at":"2026-05-30T03:50:39.000Z","published_at":"2026-05-23T17:23:28.000Z","restored_at":null,"restored_by":null,"spam":null,"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:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCalculate the energy by the famous formula of Albert Einstein.\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":43968,"title":"Concatenated roots","description":"Which is the value of this infinte concatenated roots?\r\n\r\n\u003c\u003chttps://s27.postimg.org/i4hkin7xf/Code_Cogs_Eqn.gif\u003e\u003e\r\n\r\n\r\nNote: If image server is not available, the equation was:\r\n\r\n  x*sqrt(x*cuberoot(x*fourthroot(x*fifthroot(x*sixthroot(...)))))\r\n\r\nTip: sum(1/n!)","description_html":"\u003cp\u003eWhich is the value of this infinte concatenated roots?\u003c/p\u003e\u003cimg src = \"https://s27.postimg.org/i4hkin7xf/Code_Cogs_Eqn.gif\"\u003e\u003cp\u003eNote: If image server is not available, the equation was:\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003ex*sqrt(x*cuberoot(x*fourthroot(x*fifthroot(x*sixthroot(...)))))\r\n\u003c/pre\u003e\u003cp\u003eTip: sum(1/n!)\u003c/p\u003e","function_template":"function y = infinteroots(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 1;\r\ny = 1;\r\nassert(abs(infinteroots(x)-y)\u003c1e-11)\r\n\r\n%%\r\nx = 10;\r\ny = 52.2735299670437;\r\nassert(abs(infinteroots(x)-y)\u003c1e-11)\r\n\r\n%%\r\nx=5;\r\ny=15.8864718332426;\r\nassert(abs(infinteroots(x)-y)\u003c1e-11)\r\n\r\n%%\r\nx=6;\r\ny=21.7311722059576;\r\nassert(abs(infinteroots(x)-y)\u003c1e-11)\r\n\r\n%%\r\nx=4;\r\ny=10.827015106694;\r\nassert(abs(infinteroots(x)-y)\u003c1e-11)\r\n\r\n%%\r\nx=3.2;\r\ny=7.37887287693964;\r\nassert(abs(infinteroots(x)-y)\u003c1e-11)\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":12767,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":46,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2016-12-25T20:58:32.000Z","updated_at":"2026-05-24T16:49:15.000Z","published_at":"2016-12-25T20:59:17.000Z","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\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/media/image1.gif\"}],\"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\u003eWhich is the value of this infinte concatenated roots?\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:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\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\u003eNote: If image server is not available, the equation was:\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[x*sqrt(x*cuberoot(x*fourthroot(x*fifthroot(x*sixthroot(...)))))]]\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\u003eTip: sum(1/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\"},{\"partUri\":\"/media/image1.gif\",\"contentType\":\"image/gif\",\"content\":\"data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAMAAABEpIrGAAAAGXRFWHRTb2Z0d2FyZQBBZG9iZSBJbWFnZVJlYWR5ccllPAAAAC1QTFRFeHh4k5OT9vb2gYGBnJycwMDAt7e3ioqK0tLS7e3t29vb5OTkycnJ////b29vvCMpXwAAAKZJREFUeNq8k0sWwyAIAEXzh3D/41ZrahASklXZ6cxTEAz8EOGFsDvxTyECM0RHgJIwOEIt6VFYX19BAd0kKe8vTpn0vY9uheXoQjGYrICtf9mg3Qgo+kt12fE4sxQwaGFQXCdJmmshaV4EnKYxmgMO/pvJVJ92NrwNbSpnrJafUz1kYbRcjP121ii4EKDVIPnVx+n4hdBzKyhuBM21YLgSLOePAAMAW0UziCh1I3kAAAAASUVORK5CYII=\"}]}"},{"id":44679,"title":"Draw 'E'","description":"Draw a x-by-x matrix 'E' using 1 and 0. (x is odd and bigger than 4)\r\n\r\nExample:\r\n\r\n  x=5\r\n  ans=\r\n  [1 1 1 1 1\r\n   1 0 0 0 0\r\n   1 1 1 1 1\r\n   1 0 0 0 0\r\n   1 1 1 1 1]\r\n  \r\n  x=7\r\n  ans=\r\n  [1 1 1 1 1 1 1\r\n   1 0 0 0 0 0 0\r\n   1 0 0 0 0 0 0\r\n   1 1 1 1 1 1 1 \r\n   1 0 0 0 0 0 0\r\n   1 0 0 0 0 0 0\r\n   1 1 1 1 1 1 1]","description_html":"\u003cp\u003eDraw a x-by-x matrix 'E' using 1 and 0. (x is odd and bigger than 4)\u003c/p\u003e\u003cp\u003eExample:\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003ex=5\r\nans=\r\n[1 1 1 1 1\r\n 1 0 0 0 0\r\n 1 1 1 1 1\r\n 1 0 0 0 0\r\n 1 1 1 1 1]\r\n\u003c/pre\u003e\u003cpre class=\"language-matlab\"\u003ex=7\r\nans=\r\n[1 1 1 1 1 1 1\r\n 1 0 0 0 0 0 0\r\n 1 0 0 0 0 0 0\r\n 1 1 1 1 1 1 1 \r\n 1 0 0 0 0 0 0\r\n 1 0 0 0 0 0 0\r\n 1 1 1 1 1 1 1]\r\n\u003c/pre\u003e","function_template":"function y = your_fcn_name(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 5;\r\ny_correct = ...\r\n[1 1 1 1 1\r\n 1 0 0 0 0\r\n 1 1 1 1 1\r\n 1 0 0 0 0\r\n 1 1 1 1 1];\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx = 7;\r\ny_correct = ...\r\n[1 1 1 1 1 1 1\r\n 1 0 0 0 0 0 0\r\n 1 0 0 0 0 0 0\r\n 1 1 1 1 1 1 1 \r\n 1 0 0 0 0 0 0\r\n 1 0 0 0 0 0 0\r\n 1 1 1 1 1 1 1]\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx = 11;\r\ny_correct = ...\r\n[1 1 1 1 1 1 1 1 1 1 1\r\n 1 0 0 0 0 0 0 0 0 0 0\r\n 1 0 0 0 0 0 0 0 0 0 0\r\n 1 0 0 0 0 0 0 0 0 0 0\r\n 1 0 0 0 0 0 0 0 0 0 0\r\n 1 1 1 1 1 1 1 1 1 1 1\r\n 1 0 0 0 0 0 0 0 0 0 0\r\n 1 0 0 0 0 0 0 0 0 0 0\r\n 1 0 0 0 0 0 0 0 0 0 0\r\n 1 0 0 0 0 0 0 0 0 0 0\r\n 1 1 1 1 1 1 1 1 1 1 1]\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":16,"comments_count":1,"created_by":218677,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":1124,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":46,"created_at":"2018-06-07T10:39:15.000Z","updated_at":"2026-05-24T19:48:20.000Z","published_at":"2018-06-07T10:39:15.000Z","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\u003eDraw a x-by-x matrix 'E' using 1 and 0. (x is odd and bigger than 4)\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\u003eExample:\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[x=5\\nans=\\n[1 1 1 1 1\\n 1 0 0 0 0\\n 1 1 1 1 1\\n 1 0 0 0 0\\n 1 1 1 1 1]\\n\\nx=7\\nans=\\n[1 1 1 1 1 1 1\\n 1 0 0 0 0 0 0\\n 1 0 0 0 0 0 0\\n 1 1 1 1 1 1 1 \\n 1 0 0 0 0 0 0\\n 1 0 0 0 0 0 0\\n 1 1 1 1 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":42807,"title":"Approximate e","description":"Given a and n, compute and approximation to f = a * e ^ n, without the use of exp, string operations, or floating point numbers.\r\n\r\nExample:\r\n\r\na = 1\r\n\r\nn = 1\r\n\r\nf = 2.71828","description_html":"\u003cp\u003eGiven a and n, compute and approximation to f = a * e ^ n, without the use of exp, string operations, or floating point numbers.\u003c/p\u003e\u003cp\u003eExample:\u003c/p\u003e\u003cp\u003ea = 1\u003c/p\u003e\u003cp\u003en = 1\u003c/p\u003e\u003cp\u003ef = 2.71828\u003c/p\u003e","function_template":"function f = approx_e(a,n)\r\n  f = a * n;\r\nend","test_suite":"%%\r\na = 1;\r\nn = 1;\r\nf_correct = a*exp(n);\r\nassert(abs(approx_e(a,n)-f_correct)\u003c.001)\r\n\r\n%%\r\na = 2^18;\r\nn = 0;\r\nf_correct = a*exp(n);\r\nassert(abs(approx_e(a,n)-f_correct)\u003c.001)\r\n\r\n%%\r\na = pi;\r\nn = pi;\r\nf_correct = a*exp(n);\r\nassert(abs(approx_e(a,n)-f_correct)\u003c.001)\r\n\r\n%%\r\na = -exp(1);\r\nn = exp(2);\r\nf_correct = a*exp(n);\r\nassert(abs(approx_e(a,n)-f_correct)\u003c.001)\r\n\r\n%%\r\nfiletext = fileread('approx_e.m');\r\nassert(isempty(strfind(filetext,'exp')))\r\nassert(isempty(strfind(filetext,'str')))\r\nassert(isempty(strfind(filetext,'cat')))\r\nassert(isempty(strfind(filetext,'feval')))\r\nassert(all(cellfun(@(z)str2num(z)==round(str2num(z)),regexp(filetext,'[0123456789.]+','match'))))\r\nassert(isempty(regexp(filetext,'\\d+e')))","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":15521,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":62,"test_suite_updated_at":"2016-04-19T11:46:46.000Z","rescore_all_solutions":true,"group_id":1,"created_at":"2016-04-18T05:23:45.000Z","updated_at":"2026-05-18T14:05:16.000Z","published_at":"2016-04-18T05:24:25.000Z","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\u003eGiven a and n, compute and approximation to f = a * e ^ n, without the use of exp, string operations, or floating point numbers.\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\u003eExample:\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\u003ea = 1\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\u003en = 1\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\u003ef = 2.71828\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":"Basic Physics","count":1,"selected":false},{"value":"Draw 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