{"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":1733,"title":"Calculate value of capacitor","description":"Given the value of resistance and time at which capacitor charges to it's 99%. calculate the value of capacitor","description_html":"\u003cp\u003eGiven the value of resistance and time at which capacitor charges to it's 99%. calculate the value of capacitor\u003c/p\u003e","function_template":"function y = your_fcn_name(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nr = 1;\r\nt = 1;\r\ny_correct = 0.20000;\r\nassert(isequal(your_fcn_name(r,t),y_correct))\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":4,"created_by":14448,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":97,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2013-07-22T11:45:36.000Z","updated_at":"2026-03-09T20:57:20.000Z","published_at":"2013-07-22T11:45:36.000Z","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 the value of resistance and time at which capacitor charges to it's 99%. calculate the value of capacitor\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":53765,"title":"Total resistance of resistors in series","description":"What is the total resistance of a number of resistors in series?\r\nA vector R contains the resistances (in Ohm) of n resistors, which are connected in series:\r\n\r\nYour function should take the vector R as its input and return the total resistance (in Ohm) of the series of resistors.\r\nHint: see https://en.wikipedia.org/wiki/Resistor#Series_and_parallel_resistors","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; 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: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 210.75px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 105.375px; transform-origin: 407px 105.375px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; 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; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\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: 191.358px 7.75px; transform-origin: 191.358px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWhat is the total resistance of a number of resistors in series?\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; 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; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\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: 148.567px 7.75px; transform-origin: 148.567px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA vector R contains the resistances (in Ohm) of \u003c/span\u003e\u003c/span\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: 3.89167px 7.75px; transform-origin: 3.89167px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\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: 126.417px 7.75px; transform-origin: 126.417px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e resistors, which are connected in series:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 90.75px; 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; 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data-image-state=\"image-loaded\" width=\"361\" height=\"85\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; 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; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\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: 355.233px 7.75px; transform-origin: 355.233px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour function should take the vector R as its input and return the total resistance (in Ohm) of the series of resistors.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; 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; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\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: 29.5583px 7.75px; transform-origin: 29.5583px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eHint: see \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Resistor#Series_and_parallel_resistors\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ehttps://en.wikipedia.org/wiki/Resistor#Series_and_parallel_resistors\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function totalRes = resistance(R)\r\n  totalRes = R;\r\nend","test_suite":"%%\r\nR = 10;\r\ny_correct = 10;\r\nassert(abs(resistance(R)-y_correct)\u003c0.000001)\r\n\r\n%%\r\nR = [1000 120 5250 250];\r\ny_correct = 6620;\r\nassert(abs(resistance(R)-y_correct)\u003c0.000001)\r\n\r\n%%\r\nR = [15000 2500 120000 10 350 1250];\r\ny_correct = 139110;\r\nassert(abs(resistance(R)-y_correct)\u003c0.000001)\r\n\r\n%%\r\n%Anti-cheating #1\r\nR = randi(2000,[1,50]);\r\nRs = num2str(R');\r\ns=0;for ii=1:length(Rs),s=s+str2num(Rs(ii,:));end\r\ny_correct = s;\r\nassert(abs(resistance(R)-y_correct)\u003c0.000001)\r\n\r\n%%\r\n%Anti-cheating #2\r\ns=importdata('resistance.m');\r\ny_correct=false;\r\nassert(isequal(sum(contains(s,'regexp')),y_correct),'Regexp not allowed');\r\nassert(isequal(sum(contains(s,'assert')),y_correct),'Assert not allowed');","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":437780,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":55,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-01-07T09:37:30.000Z","updated_at":"2026-02-10T16:37:10.000Z","published_at":"2022-01-07T10:03:27.000Z","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\u003eWhat is the total resistance of a number of resistors in series?\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 vector R contains the resistances (in Ohm) of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e resistors, which are connected in series:\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:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"85\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"361\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour function should take the vector R as its input and return the total resistance (in Ohm) of the series of resistors.\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: see \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Resistor#Series_and_parallel_resistors\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ehttps://en.wikipedia.org/wiki/Resistor#Series_and_parallel_resistors\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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resistance of resistors in parallel","description":"What is the total resistance of a number of resistors in parallel?\r\nA vector R contains the resistances (in Ohm) of n resistors, which are connected in parallel:\r\n\r\nYour function should take the vector R as its input and return the total resistance (in Ohm) of the parallel resistors.\r\nHint: see https://en.wikipedia.org/wiki/Resistor#Series_and_parallel_resistors","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; 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: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 267.75px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 133.875px; transform-origin: 407px 133.875px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; 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; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\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: 195.258px 7.75px; transform-origin: 195.258px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWhat is the total resistance of a number of resistors in parallel?\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; 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; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\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: 148.567px 7.75px; transform-origin: 148.567px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA vector R contains the resistances (in Ohm) of \u003c/span\u003e\u003c/span\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: 3.89167px 7.75px; transform-origin: 3.89167px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\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: 130.317px 7.75px; transform-origin: 130.317px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e resistors, which are connected in parallel:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 147.75px; 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; perspective-origin: 384px 73.875px; text-align: left; transform-origin: 384px 73.875px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 284px;height: 142px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\" width=\"284\" height=\"142\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; 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; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\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: 351.358px 7.75px; transform-origin: 351.358px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour function should take the vector R as its input and return the total resistance (in Ohm) of the parallel resistors.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; 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; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\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: 29.5583px 7.75px; transform-origin: 29.5583px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eHint: see \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Resistor#Series_and_parallel_resistors\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ehttps://en.wikipedia.org/wiki/Resistor#Series_and_parallel_resistors\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function totalRes = resistance(R)\r\n  totalRes = R;\r\nend","test_suite":"%%\r\nR = 10;\r\ny_correct = 10;\r\nassert(abs(resistance(R)-y_correct)\u003c0.0001)\r\n\r\n%%\r\nR = [1000 120 5250 250];\r\ny_correct = 73.9437;\r\nassert(abs(resistance(R)-y_correct)\u003c0.0001)\r\n\r\n%%\r\nR = [15000 2500 120000 10 350 1250];\r\ny_correct = 9.6032;\r\nassert(abs(resistance(R)-y_correct)\u003c0.0001)\r\n\r\n%%\r\n%Anti-cheating #1\r\nR = randi(2000,[1,50]);\r\nRs = num2str(R');\r\ns=0;for ii=1:length(Rs),s=s+str2num(Rs(ii,:)).^-1;end\r\ny_correct = s^-1;\r\nassert(abs(resistance(R)-y_correct)\u003c0.0001)\r\n\r\n%%\r\n%Anti-cheating #2\r\ns=importdata('resistance.m');\r\ny_correct=false;\r\nassert(isequal(sum(contains(s,'regexp')),y_correct),'Regexp not allowed');\r\nassert(isequal(sum(contains(s,'assert')),y_correct),'Assert not allowed');","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":437780,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":59,"test_suite_updated_at":"2022-01-07T14:37:05.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-01-07T13:05:22.000Z","updated_at":"2026-02-10T14:01:40.000Z","published_at":"2022-01-07T13:13:00.000Z","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\u003eWhat is the total resistance of a number of resistors in parallel?\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 vector R contains the resistances (in Ohm) of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e resistors, which are connected in parallel:\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:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"142\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"284\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour function should take the vector R as its input and return the total resistance (in Ohm) of the parallel resistors.\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: see \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Resistor#Series_and_parallel_resistors\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ehttps://en.wikipedia.org/wiki/Resistor#Series_and_parallel_resistors\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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resistance of a network of resistors in series and parallel","description":"What is the total resistance of a network of resistors in series and in parallel?\r\nA matrix R contains the resistances (in Ohm) of resistors, which are connected in series and in parallel:\r\n\r\nThe network consists of one or more 'strings' of resistors in series, each of which is connected in parallel with the others. Each row of the matrix contains the resistances of the resistors in that 'string', and all rows of resistors are connected in parallel. An input matrix may thus be represented as:\r\nR = [120 200 1500 50;\r\n     500 50 NaN NaN;\r\n     3000 NaN NaN NaN;\r\n     460 180 900 NaN]\r\nSince there must be as many columns in the matrix as the maximum number of resistors in any 'string', NaNs are used to 'pad out' any row in which that string has fewer resistors.\r\nThe simple case in the figure above would be represented as:\r\nR = [R1 R2; R3 NaN]\r\nYour function should take the matrix R as its input and return the total resistance (in Ohm) of the network of resistors.\r\nHint: see https://en.wikipedia.org/wiki/Resistor#Series_and_parallel_resistors","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; 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: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 547.917px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 273.958px; transform-origin: 407px 273.958px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; 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; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\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: 237.658px 7.75px; transform-origin: 237.658px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWhat is the total resistance of a network of resistors in series and in parallel?\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; 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; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\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: 318.567px 7.75px; transform-origin: 318.567px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA matrix R contains the resistances (in Ohm) of resistors, which are connected in series and in parallel:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 150.75px; 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; perspective-origin: 384px 75.375px; text-align: left; transform-origin: 384px 75.375px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 222px;height: 145px\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAbwAAAEhCAMAAAAzluVwAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAJzUExURf///4yMjEJCQk5OTmNjYwAAAA8PD8/Pz1RUVNPT07a2tru7u/b29u3t7fv7+/Dw8Kqqqq6urn5+fsPDwx8fHyMjI/7+/sLCwoWFhePj45SUlF9fX2JiYpeXl/r6+tTU1KioqICAgPLy8rKysnx8fFpaWgsLC21tbf39/QQEBMDAwJ+fn5GRkWFhYQwMDKamprm5uVhYWAUFBXV1ddzc3Le3t/z8/JWVlVBQUFtbWwICAiQkJFNTU+vr64mJienp6b29vWpqagYGBmhoaM7OzhERERISEkxMTObm5hYWFvn5+dnZ2SAgIGVlZX9/fwcHBwgICNjY2AMDA6KioqOjoyoqKnZ2dn19faurqwEBAUNDQ1ZWVqGhobGxsUtLSw0NDTU1NYKCgvHx8e7u7tXV1VdXV11dXSIiIuXl5e/v7xUVFWZmZkhISMzMzBQUFI+Pj9ra2vj4+KSkpBwcHJiYmMXFxcbGxiYmJjExMS4uLvT09MTExIuLi7q6ukFBQeLi4uHh4SkpKcrKyuTk5E9PTzY2Nr+/vxcXF56enoGBgcjIyPPz80dHR+zs7ISEhHt7e29vb3FxcYeHh6ysrBgYGDs7O/X19aenpzo6Omtra0VFRXR0dDw8PDIyMjMzMxsbG2BgYHl5eZKSkjc3N42NjSEhIdfX19vb22lpaVlZWVxcXL6+vhMTE4qKitLS0oaGhh0dHS8vL0pKSrCwsLS0tCcnJysrK83NzQoKCpOTk8nJyZmZmR4eHoODg2dnZ9/f3/f397W1tYiIiG5ubujo6GRkZKmpqQ4ODiUlJeDg4MvLy62tra+vrwkJCZ2dnY6OjmxsbFMSZGYAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAnMSURBVHhe7d37fxTVGcfxk9gnEpKgIsYILaApMZuCRS4JRkCNoEnEJoQirLXFKlRuQWNBEbxVidpG7M3S2tLallrbam1Lrdqrrb1gL9r+ST1n5kl2diazDOs5s/NMvu9f9pnZ7Mx5zeeV7G4SggIAAAAAAAAAAAAAAAAQrq6+/jweQZoPETXwOOn8WbNmNfIMWTZNvNlE1MQzZBniZVNzy5Q5vCsqHO+ClpYLdbyLWlou4D1QC3N1BHYx74oKx5vHjyC6pJV3QQ0gnmCIJ9ilbVMu411R4Xjz29oW6HIfbmv7CO+BzArH0/BqUwrEEwzxBJsm3sKKbwwhO6aJB1IgnmCIJxjiCYZ4giGeYIgny6LFixdPvY9DPFkuJ6IreEY8YRBPMMQTDPEEQzzBEE8wxBMM8QRDvIhF7ZlS99EwvqO9fUkoXgfvb2+fzx9aciHfkxG8aOuu1JdEjmA8QTp51bYhXgoQz0C8MjpeoSs7PrY0jO/o6lqmr0Iw3lW8v6vr4/yhJcv5ngy42m28FTxmnNBXmysRT0O8CMRzDPEMxItAPMcQz0C8CMRzDPEMxItAPMcQz1i1evXqbp4RzyMnXhnEMxDPMcSLQDwD8RxDvAjEMxDPMcSLQDwD8RxDvAjEMxDPMcSLQDwD8RxDvAjEMxDPMcSLQDwD8RxDvAjEMxDPMcSLQDxDaLyeNWuu4THjEE8wxBMM8QRDPMEQTzDEEwzxBEM8wRBPMMQTDPEEQzzBEE8wxBMM8QRDPMEQTzDEEwzxBEM8wRBPMMQTDPEEQzzBxMfT65/U23Dt2p51vD81fHIj7QXkKZ6nY30r35MSPu+UFBeQh3iTF2vhddff0Ed0I2+mRC+Ap9QXkKd4xoaNRLN5TkcgnrHhpvQWkLd4qofoZh7TEYrnLSClL5y5i9dPNMBjOsLxzAIQL5lwvEGiPh7TEY5nFoB4yYTj3UK0icd0hOOZBSBeMuF4c4lu5TEd4Xif0AtAvGRC8ZqGaHgzz+kIxWsaTm8BeYrXva5pWS+NbOHNlATi8QI+yZvO5SFema1dfEda+LxTUlxAzuLd1pXS000Jn5mluoAcfdlsnke0zR/TpBfAU+oLyNNz3nb9DivdFytGKZ7aXkx3AXmKp+qJ6nlMTyCeul0vAF82kwvGaywQBV5rLvpUsexVvBvBeGYBd/Cs1Kc/M1DYcedn7+JN+3IVz5xx4G6ed+7qDV5XZ8pOElhA9+f0PcY9u/0d9uUr3p69RPt4c4T2j6b9maf2HNAL8Md7aajtvrH++z9PC/wd9uUrnjpIVDzkj/X6NvV43gIe8KYHyX+z/gAd8G4dyFm8zsNED83hjVrEKy1gtH2ht+cIDXu3DuQsnjqqtx/muRbx1NFicAHaI/QoT9blLZ5aQtTxGM+1iKeu0Qt4nGftri+MPMGjdbmL92QH0bHJPbWI5y2AZ6X6x+kgj/aJj1dRGvEqeurpoWd4dADxHOr84si8L/HsAuK5M/EsnTf5LQMnEM+Z4+PF58qejq1DPFcGx4sOn+48iOfKl+krbj/v8hxPv1lmvCNlw3x27SneZRviucInNxAPIhBPMAnxRpdZ91U+dDKr+VEWfY0P/YFIiPd1vUbLnudDJ7O+9Pxpyzf40B8I4iWAeNUz8YoW6cOdezx+rBUzLV4jzzbsqybeCZ5teBTxqoZ4CSBeDMSrHuIlgHgxEK96iJcA4sVAvOohXgKIFyMv8VrjDI5N+ab9eE/zoY1uPmNIYAFt9uN9iw9tdPIZI/jDY9U43ip9+kQsxzt3luMl8sJZ8iFeQogXgXiVCIj37e9M5+R3p9yjP8hyvBV8aGMXnzHke3y39qJegOV4V/Ghje/zGcuNiIjXw3OsmflqcwjxpoN4CSBeDMSrHuIlgHgxEK96iJcA4sVAvOohXgKIF2OmxfvBD+05VU28H/GDbXhphsWz7NzjWYZ41UO8s0G8eDMm3sSPrXuZD51MCz/KosAfuIqRk3gzE+IJhniCIZ5giCcY4gmGeIIhnmCIJ1j2472sT7+UZyij4/0ky/GOrxzQp+/76SLehknN67fqK7PiZ5WvTC3jvfKqPrkx8nPeA77XzC+Je1fmF5U++WoY75D+wjDJyp/iyo3NG/myaNsq1KtdvBO/9Ffn6R3lvaBU56/4qhjFCn+ss3bx7i37Idlp3gtKmX9MWlLhJ3+O4xVeifWgvzZW2MMPAnWar4mvuJgvWNTV+m6H8ZK7mB8Eai9fkkQyEe/X/CAw7/CSy0Q8/i8LQakDfEkScRVv5+uV/IbP7utz99/iivMsXxP2DF+w6fFjUtZT9mpzDe8Fpe7na+I7xXszZewSXp1ReI33glLdb/BV8TzCe7Plzbd4edpveR8YjTv4smgrz/LN6Vr5nfkrC8bQ73kP+Eb/wFemd25G2yk18cdNeoFv/elt3oZJE5e/pK/MyNo3eTuTzA9j5/MMZfqIbszsp50HP0mPleAn6TWGeLEQTzDEEwzxBEM8wRBPMMQTDPEEQzzfZY9b92c+tDuI5wv8GqQtf+FDu4N4PsRzAvFiIZ5Pxzv1jj0vIJ4ntXh/5dGGJ4qIZyBeLMTzIZ4TiBcL8XyI5wTixUI8H+I5gXixEM+HeE6YeKfnurDgZEnBfrytfGhtP5/RsgT/f16NmXipsB0vFYjnQzz7EK+SjMdrPeJKy+6SBvvxtvChtb/xGe0b5BPOaCJfbYIP8QRDPMEQTzDEEwzxBEM8wRBPMMQTTMcrDtvTR4iXHh3PNsRLC+IJ9vdd1p3PhwYAAAAAAAAAABCtyN+t1Hobrl3bs473gwCBeJ6O9dn+PWUI0PF4Uguvu/4G80fVeRMyLxDP2LCRaDbPkHWheKqH6GYeIevC8fqJBniErAvHGyTq4xGyLhzvFqJNPELWhePNJbqVR8i6ULymIRrezDNkXSBe97qmZb00soU3IfN0vDJbu/gOyL7yeLd14ZtjgpS+bDZvItrGM4gQeM7brt/i4cWKJIF4qp6onkeQIBivsUA0+Vqz9R/79xbO3PncFbwNGRSMp64kGrjbm7pn8UuYd/u9bciisnh7DhDt815v1tGOpf8c233H87TAuweyqCyeOkhUPGSGd+kib8dyetW7hSwqj9d5mOihOXrY2dXt7ThCZ7xbyKLyeOqofpp7mGdjOd3OE2RPKJ5aQtTxGM+Dq+o6Gv7FG5A94XhPdhAd80f9Sdiw5D5/BmF0vMJJ/OtzocZWLT1T/DdvgDiX0mGeQIz/zG/2bifoPe8WBBmn973b1+lF7xYE+S+9V/f22O7399L/eA+IMeeY+a609sZx3gNytG6pv2nkzPg7J3gbAAAAAAAAAABAKfV/zw7Hw2SqQeUAAAAASUVORK5CYII=\" data-image-state=\"image-loaded\" width=\"222\" height=\"145\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; 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; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\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: 373.733px 7.75px; transform-origin: 373.733px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe network consists of one or more 'strings' of resistors in series, each of which is connected in parallel with the others. Each row of the matrix contains the resistances of the resistors in that 'string', and all rows of resistors are connected in parallel. An input matrix may thus be represented as:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 81.7333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 40.8667px; transform-origin: 404px 40.8667px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 80.85px 8.25px; tab-size: 4; transform-origin: 80.85px 8.25px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eR = [120 200 1500 50;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 77px 8.25px; tab-size: 4; transform-origin: 77px 8.25px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     500 50 NaN NaN;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 84.7px 8.25px; tab-size: 4; transform-origin: 84.7px 8.25px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     3000 NaN NaN NaN;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 80.85px 8.25px; tab-size: 4; transform-origin: 80.85px 8.25px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     460 180 900 NaN]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\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: 376.442px 7.75px; transform-origin: 376.442px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSince there must be as many columns in the matrix as the maximum number of resistors in any 'string', NaNs are used to 'pad out' any row in which that string has fewer resistors.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; 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; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\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: 191px 7.75px; transform-origin: 191px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe simple case in the figure above would be represented as:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20.4333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 73.15px 8.25px; tab-size: 4; transform-origin: 73.15px 8.25px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eR = [R1 R2; R3 NaN]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\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: 361.067px 7.75px; transform-origin: 361.067px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour function should take the matrix R as its input and return the total resistance (in Ohm) of the network of resistors.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; 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; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\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: 29.5583px 7.75px; transform-origin: 29.5583px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eHint: see \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Resistor#Series_and_parallel_resistors\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ehttps://en.wikipedia.org/wiki/Resistor#Series_and_parallel_resistors\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function totalRes = resistance(R)\r\n  totalRes = R;\r\nend","test_suite":"%%\r\nR = 10;\r\ny_correct = 10;\r\nassert(abs(resistance(R)-y_correct)\u003c0.0001)\r\n\r\n%%\r\nR = ones(10);\r\ny_correct = 1;\r\nassert(abs(resistance(R)-y_correct)\u003c0.0001)\r\n\r\n%%\r\nR = [1000 120 5250 250];\r\ny_correct = 6620;\r\nassert(abs(resistance(R)-y_correct)\u003c0.0001)\r\n\r\n%%\r\nR = [1000 120 5250 250 NaN];\r\ny_correct = 6620;\r\nassert(abs(resistance(R)-y_correct)\u003c0.0001)\r\n\r\n%%\r\nR = [15000 2500 120000; 10 350 1250];\r\ny_correct = 1591.366544461218;\r\nassert(abs(resistance(R)-y_correct)\u003c0.0001)\r\n\r\n%%\r\nR = [120 200 1500 50;\r\n     500 50 NaN NaN;\r\n     3000 NaN NaN NaN;\r\n     460 180 900 NaN];\r\ny_correct = 299.7938774;\r\nassert(abs(resistance(R)-y_correct)\u003c0.0001)\r\n\r\n%%\r\n%Anti-cheating #1\r\nR = randi(2000,[50,50]);\r\nRs = num2str(sum(R,2));\r\ns=0;for ii=1:length(Rs),s=s+str2num(Rs(ii,:)).^-1;end\r\ny_correct = s^-1;\r\nassert(abs(resistance(R)-y_correct)\u003c0.0001)\r\n\r\n%%\r\n%Anti-cheating #2\r\ns=importdata('resistance.m');\r\ny_correct=false;\r\nassert(isequal(sum(contains(s,'regexp')),y_correct),'Regexp not allowed');\r\nassert(isequal(sum(contains(s,'assert')),y_correct),'Assert not allowed');","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":437780,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":27,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-01-07T14:02:03.000Z","updated_at":"2026-02-19T15:38:06.000Z","published_at":"2022-01-07T14:34:14.000Z","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\u003eWhat is the total resistance of a network of resistors in series and in parallel?\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 matrix R contains the resistances (in Ohm) of resistors, which are connected in series and in parallel:\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:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"145\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"222\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe network consists of one or more 'strings' of resistors in series, each of which is connected in parallel with the others. Each row of the matrix contains the resistances of the resistors in that 'string', and all rows of resistors are connected in parallel. An input matrix may thus be represented as:\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[R = [120 200 1500 50;\\n     500 50 NaN NaN;\\n     3000 NaN NaN NaN;\\n     460 180 900 NaN]]]\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSince there must be as many columns in the matrix as the maximum number of resistors in any 'string', NaNs are used to 'pad out' any row in which that string has fewer resistors.\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 simple case in the figure above would be represented as:\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[R = [R1 R2; R3 NaN]]]\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour function should take the matrix R as its input and return the total resistance (in Ohm) of the network of resistors.\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: see \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Resistor#Series_and_parallel_resistors\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ehttps://en.wikipedia.org/wiki/Resistor#Series_and_parallel_resistors\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http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0.20000;\r\nassert(isequal(your_fcn_name(r,t),y_correct))\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":4,"created_by":14448,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":97,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2013-07-22T11:45:36.000Z","updated_at":"2026-03-09T20:57:20.000Z","published_at":"2013-07-22T11:45:36.000Z","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 the value of resistance and time at which capacitor charges to it's 99%. calculate the value of capacitor\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 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105.375px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; 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; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\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: 191.358px 7.75px; transform-origin: 191.358px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWhat is the total resistance of a number of resistors in series?\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; 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; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\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: 148.567px 7.75px; transform-origin: 148.567px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA vector R contains the resistances (in Ohm) of \u003c/span\u003e\u003c/span\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: 3.89167px 7.75px; transform-origin: 3.89167px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\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: 126.417px 7.75px; transform-origin: 126.417px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e resistors, which are connected in series:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 90.75px; 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; perspective-origin: 384px 45.375px; text-align: left; transform-origin: 384px 45.375px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 361px;height: 85px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\" width=\"361\" height=\"85\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; 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; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\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: 355.233px 7.75px; transform-origin: 355.233px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour function should take the vector R as its input and return the total resistance (in Ohm) of the series of resistors.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; 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; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\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: 29.5583px 7.75px; transform-origin: 29.5583px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eHint: see \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Resistor#Series_and_parallel_resistors\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ehttps://en.wikipedia.org/wiki/Resistor#Series_and_parallel_resistors\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function totalRes = resistance(R)\r\n  totalRes = R;\r\nend","test_suite":"%%\r\nR = 10;\r\ny_correct = 10;\r\nassert(abs(resistance(R)-y_correct)\u003c0.000001)\r\n\r\n%%\r\nR = [1000 120 5250 250];\r\ny_correct = 6620;\r\nassert(abs(resistance(R)-y_correct)\u003c0.000001)\r\n\r\n%%\r\nR = [15000 2500 120000 10 350 1250];\r\ny_correct = 139110;\r\nassert(abs(resistance(R)-y_correct)\u003c0.000001)\r\n\r\n%%\r\n%Anti-cheating #1\r\nR = randi(2000,[1,50]);\r\nRs = num2str(R');\r\ns=0;for ii=1:length(Rs),s=s+str2num(Rs(ii,:));end\r\ny_correct = s;\r\nassert(abs(resistance(R)-y_correct)\u003c0.000001)\r\n\r\n%%\r\n%Anti-cheating #2\r\ns=importdata('resistance.m');\r\ny_correct=false;\r\nassert(isequal(sum(contains(s,'regexp')),y_correct),'Regexp not allowed');\r\nassert(isequal(sum(contains(s,'assert')),y_correct),'Assert not allowed');","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":437780,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":55,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-01-07T09:37:30.000Z","updated_at":"2026-02-10T16:37:10.000Z","published_at":"2022-01-07T10:03:27.000Z","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\u003eWhat is the total resistance of a number of resistors in series?\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 vector R contains the resistances (in Ohm) of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e resistors, which are connected in series:\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:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"85\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"361\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour function should take the vector R as its input and return the total resistance (in Ohm) of the series of resistors.\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: see \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Resistor#Series_and_parallel_resistors\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ehttps://en.wikipedia.org/wiki/Resistor#Series_and_parallel_resistors\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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resistance of resistors in parallel","description":"What is the total resistance of a number of resistors in parallel?\r\nA vector R contains the resistances (in Ohm) of n resistors, which are connected in parallel:\r\n\r\nYour function should take the vector R as its input and return the total resistance (in Ohm) of the parallel resistors.\r\nHint: see https://en.wikipedia.org/wiki/Resistor#Series_and_parallel_resistors","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; 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: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 267.75px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 133.875px; transform-origin: 407px 133.875px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; 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; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\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: 195.258px 7.75px; transform-origin: 195.258px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWhat is the total resistance of a number of resistors in parallel?\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; 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; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\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: 148.567px 7.75px; transform-origin: 148.567px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA vector R contains the resistances (in Ohm) of \u003c/span\u003e\u003c/span\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: 3.89167px 7.75px; transform-origin: 3.89167px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\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: 130.317px 7.75px; transform-origin: 130.317px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e resistors, which are connected in parallel:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 147.75px; 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; perspective-origin: 384px 73.875px; text-align: left; transform-origin: 384px 73.875px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 284px;height: 142px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\" width=\"284\" height=\"142\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; 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; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\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: 351.358px 7.75px; transform-origin: 351.358px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour function should take the vector R as its input and return the total resistance (in Ohm) of the parallel resistors.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; 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; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\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: 29.5583px 7.75px; transform-origin: 29.5583px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eHint: see \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Resistor#Series_and_parallel_resistors\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ehttps://en.wikipedia.org/wiki/Resistor#Series_and_parallel_resistors\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function totalRes = resistance(R)\r\n  totalRes = R;\r\nend","test_suite":"%%\r\nR = 10;\r\ny_correct = 10;\r\nassert(abs(resistance(R)-y_correct)\u003c0.0001)\r\n\r\n%%\r\nR = [1000 120 5250 250];\r\ny_correct = 73.9437;\r\nassert(abs(resistance(R)-y_correct)\u003c0.0001)\r\n\r\n%%\r\nR = [15000 2500 120000 10 350 1250];\r\ny_correct = 9.6032;\r\nassert(abs(resistance(R)-y_correct)\u003c0.0001)\r\n\r\n%%\r\n%Anti-cheating #1\r\nR = randi(2000,[1,50]);\r\nRs = num2str(R');\r\ns=0;for ii=1:length(Rs),s=s+str2num(Rs(ii,:)).^-1;end\r\ny_correct = s^-1;\r\nassert(abs(resistance(R)-y_correct)\u003c0.0001)\r\n\r\n%%\r\n%Anti-cheating #2\r\ns=importdata('resistance.m');\r\ny_correct=false;\r\nassert(isequal(sum(contains(s,'regexp')),y_correct),'Regexp not allowed');\r\nassert(isequal(sum(contains(s,'assert')),y_correct),'Assert not allowed');","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":437780,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":59,"test_suite_updated_at":"2022-01-07T14:37:05.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-01-07T13:05:22.000Z","updated_at":"2026-02-10T14:01:40.000Z","published_at":"2022-01-07T13:13:00.000Z","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\u003eWhat is the total resistance of a number of resistors in parallel?\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 vector R contains the resistances (in Ohm) of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e resistors, which are connected in parallel:\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:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"142\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"284\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour function should take the vector R as its input and return the total resistance (in Ohm) of the parallel resistors.\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: see \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Resistor#Series_and_parallel_resistors\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ehttps://en.wikipedia.org/wiki/Resistor#Series_and_parallel_resistors\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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resistance of a network of resistors in series and parallel","description":"What is the total resistance of a network of resistors in series and in parallel?\r\nA matrix R contains the resistances (in Ohm) of resistors, which are connected in series and in parallel:\r\n\r\nThe network consists of one or more 'strings' of resistors in series, each of which is connected in parallel with the others. Each row of the matrix contains the resistances of the resistors in that 'string', and all rows of resistors are connected in parallel. An input matrix may thus be represented as:\r\nR = [120 200 1500 50;\r\n     500 50 NaN NaN;\r\n     3000 NaN NaN NaN;\r\n     460 180 900 NaN]\r\nSince there must be as many columns in the matrix as the maximum number of resistors in any 'string', NaNs are used to 'pad out' any row in which that string has fewer resistors.\r\nThe simple case in the figure above would be represented as:\r\nR = [R1 R2; R3 NaN]\r\nYour function should take the matrix R as its input and return the total resistance (in Ohm) of the network of resistors.\r\nHint: see https://en.wikipedia.org/wiki/Resistor#Series_and_parallel_resistors","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; 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: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 547.917px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 273.958px; transform-origin: 407px 273.958px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; 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; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\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: 237.658px 7.75px; transform-origin: 237.658px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWhat is the total resistance of a network of resistors in series and in parallel?\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; 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; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\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: 318.567px 7.75px; transform-origin: 318.567px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA matrix R contains the resistances (in Ohm) of resistors, which are connected in series and in parallel:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 150.75px; 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; perspective-origin: 384px 75.375px; text-align: left; transform-origin: 384px 75.375px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 222px;height: 145px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\" width=\"222\" height=\"145\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; 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; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\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: 373.733px 7.75px; transform-origin: 373.733px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe network consists of one or more 'strings' of resistors in series, each of which is connected in parallel with the others. Each row of the matrix contains the resistances of the resistors in that 'string', and all rows of resistors are connected in parallel. An input matrix may thus be represented as:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 81.7333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 40.8667px; transform-origin: 404px 40.8667px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 80.85px 8.25px; tab-size: 4; transform-origin: 80.85px 8.25px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eR = [120 200 1500 50;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 77px 8.25px; tab-size: 4; transform-origin: 77px 8.25px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     500 50 NaN NaN;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 84.7px 8.25px; tab-size: 4; transform-origin: 84.7px 8.25px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     3000 NaN NaN NaN;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 80.85px 8.25px; tab-size: 4; transform-origin: 80.85px 8.25px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     460 180 900 NaN]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\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: 376.442px 7.75px; transform-origin: 376.442px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSince there must be as many columns in the matrix as the maximum number of resistors in any 'string', NaNs are used to 'pad out' any row in which that string has fewer resistors.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; 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; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\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: 191px 7.75px; transform-origin: 191px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe simple case in the figure above would be represented as:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20.4333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 73.15px 8.25px; tab-size: 4; transform-origin: 73.15px 8.25px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eR = [R1 R2; R3 NaN]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\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: 361.067px 7.75px; transform-origin: 361.067px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour function should take the matrix R as its input and return the total resistance (in Ohm) of the network of resistors.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; 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; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\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: 29.5583px 7.75px; transform-origin: 29.5583px 7.75px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eHint: see \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Resistor#Series_and_parallel_resistors\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ehttps://en.wikipedia.org/wiki/Resistor#Series_and_parallel_resistors\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function totalRes = resistance(R)\r\n  totalRes = R;\r\nend","test_suite":"%%\r\nR = 10;\r\ny_correct = 10;\r\nassert(abs(resistance(R)-y_correct)\u003c0.0001)\r\n\r\n%%\r\nR = ones(10);\r\ny_correct = 1;\r\nassert(abs(resistance(R)-y_correct)\u003c0.0001)\r\n\r\n%%\r\nR = [1000 120 5250 250];\r\ny_correct = 6620;\r\nassert(abs(resistance(R)-y_correct)\u003c0.0001)\r\n\r\n%%\r\nR = [1000 120 5250 250 NaN];\r\ny_correct = 6620;\r\nassert(abs(resistance(R)-y_correct)\u003c0.0001)\r\n\r\n%%\r\nR = [15000 2500 120000; 10 350 1250];\r\ny_correct = 1591.366544461218;\r\nassert(abs(resistance(R)-y_correct)\u003c0.0001)\r\n\r\n%%\r\nR = [120 200 1500 50;\r\n     500 50 NaN NaN;\r\n     3000 NaN NaN NaN;\r\n     460 180 900 NaN];\r\ny_correct = 299.7938774;\r\nassert(abs(resistance(R)-y_correct)\u003c0.0001)\r\n\r\n%%\r\n%Anti-cheating #1\r\nR = randi(2000,[50,50]);\r\nRs = num2str(sum(R,2));\r\ns=0;for ii=1:length(Rs),s=s+str2num(Rs(ii,:)).^-1;end\r\ny_correct = s^-1;\r\nassert(abs(resistance(R)-y_correct)\u003c0.0001)\r\n\r\n%%\r\n%Anti-cheating #2\r\ns=importdata('resistance.m');\r\ny_correct=false;\r\nassert(isequal(sum(contains(s,'regexp')),y_correct),'Regexp not allowed');\r\nassert(isequal(sum(contains(s,'assert')),y_correct),'Assert not allowed');","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":437780,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":27,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-01-07T14:02:03.000Z","updated_at":"2026-02-19T15:38:06.000Z","published_at":"2022-01-07T14:34:14.000Z","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\u003eWhat is the total resistance of a network of resistors in series and in parallel?\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 matrix R contains the resistances (in Ohm) of resistors, which are connected in series and in parallel:\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:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"145\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"222\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe network consists of one or more 'strings' of resistors in series, each of which is connected in parallel with the others. Each row of the matrix contains the resistances of the resistors in that 'string', and all rows of resistors are connected in parallel. An input matrix may thus be represented as:\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[R = [120 200 1500 50;\\n     500 50 NaN NaN;\\n     3000 NaN NaN NaN;\\n     460 180 900 NaN]]]\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSince there must be as many columns in the matrix as the maximum number of resistors in any 'string', NaNs are used to 'pad out' any row in which that string has fewer resistors.\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 simple case in the figure above would be represented as:\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[R = [R1 R2; R3 NaN]]]\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour function should take the matrix R as its input and return the total resistance (in Ohm) of the network of resistors.\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: see \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink 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