{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-04-06T14:01:22.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2026-04-06T00:00:00.000Z","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":44069,"title":"Equal temperament - musical notes and frequency","description":"Starting from 440Hz note (musical note A above middle C), create 13 notes, using  twelve-tone equal temperament, in Herz units.\r\n\u003chttps://en.wikipedia.org/wiki/Equal_temperament\u003e\r\n\r\nYour output will be like [440, ... , 880] all rounded to integer. ","description_html":"\u003cp\u003eStarting from 440Hz note (musical note A above middle C), create 13 notes, using  twelve-tone equal temperament, in Herz units. \u003ca href = \"https://en.wikipedia.org/wiki/Equal_temperament\"\u003ehttps://en.wikipedia.org/wiki/Equal_temperament\u003c/a\u003e\u003c/p\u003e\u003cp\u003eYour output will be like [440, ... , 880] all rounded to integer.\u003c/p\u003e","function_template":"function y = twelveTone()\r\n  y = [440, 880];\r\nend","test_suite":"%%\r\nx = 1;\r\ny_correct = [440,466,494,523,554,587,622,659,698,740,784,831,880];\r\nassert(isequal(twelveTone(),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":115733,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":51,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2017-02-14T00:44:43.000Z","updated_at":"2026-02-19T15:26:29.000Z","published_at":"2017-02-14T00:44:43.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eStarting from 440Hz note (musical note A above middle C), create 13 notes, using twelve-tone equal temperament, in Herz units.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Equal_temperament\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026lt;https://en.wikipedia.org/wiki/Equal_temperament\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour output will be like [440, ... , 880] all rounded to integer.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":43590,"title":"Solve t^(a*x^2+b*x+c)=s","description":"Solve t^(a*x^2+b*x+c)=s. Return x vector as result.\r\n\r\nExample a=1, b=2, c=1, t=3, s=15. Result x(1)= 0.5700  x(2)=-2.5700 \r\n\r\nHint: if we need to solve a*x^2+b*x+c=0 then result will be\r\n\r\nx(1)=(-b+sqrt(b^2-4*a*c))/(2*a); \r\n\r\nx(2)=(-b-sqrt(b^2-4*a*c))/(2*a); ","description_html":"\u003cp\u003eSolve t^(a*x^2+b*x+c)=s. Return x vector as result.\u003c/p\u003e\u003cp\u003eExample a=1, b=2, c=1, t=3, s=15. Result x(1)= 0.5700  x(2)=-2.5700\u003c/p\u003e\u003cp\u003eHint: if we need to solve a*x^2+b*x+c=0 then result will be\u003c/p\u003e\u003cp\u003ex(1)=(-b+sqrt(b^2-4*a*c))/(2*a);\u003c/p\u003e\u003cp\u003ex(2)=(-b-sqrt(b^2-4*a*c))/(2*a);\u003c/p\u003e","function_template":"function x = SolveEquation(a,b,c,t,s)\r\n  y = x;\r\nend","test_suite":"%%\r\na=1;\r\nb=2;\r\nc=1;\r\nt=3;\r\ns=15;\r\ny=SolveEquation(a,b,c,t,s)\r\ny_correct = [ 0.5700  , -2.5700]\r\ntolerance = 1e-4; \r\nassert(abs(y(1)-y_correct(1))\u003ctolerance)\r\nassert(abs(y(2)-y_correct(2))\u003ctolerance)\r\n%%\r\na=1;\r\nb=2;\r\nc=2;\r\nt=exp(1);\r\ns=exp(1);\r\ny=SolveEquation(a,b,c,t,s)\r\ny_correct = [ -1 , -1]\r\ntolerance = 1e-4; \r\nassert(abs(y(1)-y_correct(1))\u003ctolerance)\r\nassert(abs(y(2)-y_correct(2))\u003ctolerance)\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":2,"created_by":90467,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":64,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2016-10-22T17:32:46.000Z","updated_at":"2026-04-07T18:08:05.000Z","published_at":"2016-10-22T17:32:46.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"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\u003eSolve t^(a*x^2+b*x+c)=s. Return x vector as result.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample a=1, b=2, c=1, t=3, s=15. Result x(1)= 0.5700 x(2)=-2.5700\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: if we need to solve a*x^2+b*x+c=0 then result will be\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\u003ex(1)=(-b+sqrt(b^2-4*a*c))/(2*a);\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\u003ex(2)=(-b-sqrt(b^2-4*a*c))/(2*a);\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":834,"title":"Solve Quadratic : No * - or key functions permitted","description":"Solve the quadratic equation *ax^2+bx+c=0*.  However, some of the normal functions and symbols are not allowed.\r\n\r\nx=[ -b +/- sqrt ( b^2 - 4ac ) ] / ( 2a ) \r\n\r\n\r\n*Unallowed functions and symbols:* \r\n\r\nroots mtimes cross prod cumprod times mldivide mrdivide dot numstr int2str dec2bin * / \\ - ^ '\r\n\r\nDerivative of Aurelien's \u003chttp://www.mathworks.com/matlabcentral/cody/problems/813-multiply-2-numbers Cody 813 Multiply 2 numbers\u003e\r\n\r\nAlso related to \u003chttp://www.mathworks.com/matlabcentral/cody/problems/833-find-third-side-of-a-right-triangle-given-hypotenuse-and-a-side-no-or-other-functions-allowed/solutions/map Cody 833 Side of a Triangle\u003e \r\n\r\nTest suite \"disallowed function usage check\" courtesy of Aurelien Queffurust.\r\n\r\nExample : \r\n\r\n*Input*\r\n\r\na= 1; b= 1; c=1\r\n\r\n*Output* \r\n\r\n x(1)= -0.5+0.866i; x(2)= -0.5-0.866i","description_html":"\u003cp\u003eSolve the quadratic equation \u003cb\u003eax^2+bx+c=0\u003c/b\u003e.  However, some of the normal functions and symbols are not allowed.\u003c/p\u003e\u003cp\u003ex=[ -b +/- sqrt ( b^2 - 4ac ) ] / ( 2a )\u003c/p\u003e\u003cp\u003e\u003cb\u003eUnallowed functions and symbols:\u003c/b\u003e\u003c/p\u003e\u003cp\u003eroots mtimes cross prod cumprod times mldivide mrdivide dot numstr int2str dec2bin * / \\ - ^ '\u003c/p\u003e\u003cp\u003eDerivative of Aurelien's \u003ca href=\"http://www.mathworks.com/matlabcentral/cody/problems/813-multiply-2-numbers\"\u003eCody 813 Multiply 2 numbers\u003c/a\u003e\u003c/p\u003e\u003cp\u003eAlso related to \u003ca href=\"http://www.mathworks.com/matlabcentral/cody/problems/833-find-third-side-of-a-right-triangle-given-hypotenuse-and-a-side-no-or-other-functions-allowed/solutions/map\"\u003eCody 833 Side of a Triangle\u003c/a\u003e\u003c/p\u003e\u003cp\u003eTest suite \"disallowed function usage check\" courtesy of Aurelien Queffurust.\u003c/p\u003e\u003cp\u003eExample :\u003c/p\u003e\u003cp\u003e\u003cb\u003eInput\u003c/b\u003e\u003c/p\u003e\u003cp\u003ea= 1; b= 1; c=1\u003c/p\u003e\u003cp\u003e\u003cb\u003eOutput\u003c/b\u003e\u003c/p\u003e\u003cpre\u003e x(1)= -0.5+0.866i; x(2)= -0.5-0.866i\u003c/pre\u003e","function_template":"function x = quadratic(a,b,c)\r\n  x(1)=(-b+sqrt(b^2-4*a*c))/(2*a); % Must delete symbol check will fail\r\n  x(2)=(-b-sqrt(b^2-4*a*c))/(2*a);\r\nend","test_suite":"%%\r\n% Courtesy of Aurelien Queffurust\r\nfiletext = fileread('quadratic.m');\r\nassert(isempty(strfind(filetext, '*')),'sign * forbidden')\r\nassert(isempty(strfind(filetext, 'mtimes')),'mtimes forbidden')\r\nassert(isempty(strfind(filetext, 'cross')),'cross forbidden')\r\nassert(isempty(strfind(filetext, 'prod')),'prod forbidden')\r\nassert(isempty(strfind(filetext, 'cumprod')))\r\nassert(isempty(strfind(filetext, 'times')))\r\nassert(isempty(strfind(filetext, 'mldivide')))\r\nassert(isempty(strfind(filetext, 'mrdivide')))\r\nassert(isempty(strfind(filetext, '/')),'/ forbidden')\r\nassert(isempty(strfind(filetext, '\\')))\r\nassert(isempty(strfind(filetext, '-')))\r\nassert(isempty(strfind(filetext, '^')),'^ forbidden')\r\nassert(isempty(strfind(filetext, 'dot')))\r\nassert(isempty(strfind(filetext, '''')),'string forbidden')\r\nassert(isempty(strfind(filetext, 'num2str')))\r\nassert(isempty(strfind(filetext, 'int2str')))\r\nassert(isempty(strfind(filetext, 'dec2bin')))\r\nassert(isempty(strfind(filetext, 'roots')))\r\n%%\r\na=1;b=1;c=1;\r\nrad=sqrt(b*b-4*a*c);\r\nxe(1)=(-b+rad)/(2*a);\r\nxe(2)=(-b-rad)/(2*a)\r\n\r\nxq = quadratic(a,b,c)\r\n\r\nassert(isequal(round(1e6*xq)/1e6,round(1e6*xe)/1e6) || isequal(round(1e6*xq(2:-1:1))/1e6,round(1e6*xe)/1e6))\r\n%%\r\na=1;b=4;c=1;\r\nrad=sqrt(b*b-4*a*c);\r\nxe(1)=(-b+rad)/(2*a);\r\nxe(2)=(-b-rad)/(2*a)\r\n\r\nxq = quadratic(a,b,c)\r\n\r\nassert(isequal(round(1e6*xq)/1e6,round(1e6*xe)/1e6) || isequal(round(1e6*xq(2:-1:1))/1e6,round(1e6*xe)/1e6))\r\n%%\r\na=1;b=4;c=1;\r\na=a+rand\r\nrad=sqrt(b*b-4*a*c);\r\nxe(1)=(-b+rad)/(2*a);\r\nxe(2)=(-b-rad)/(2*a)\r\n\r\nxq = quadratic(a,b,c)\r\n\r\nassert(isequal(round(1e6*xq)/1e6,round(1e6*xe)/1e6) || isequal(round(1e6*xq(2:-1:1))/1e6,round(1e6*xe)/1e6))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":3097,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":34,"test_suite_updated_at":"2012-07-16T12:17:04.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2012-07-15T21:45:22.000Z","updated_at":"2025-09-27T21:24:29.000Z","published_at":"2012-07-15T22:25:47.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSolve the quadratic equation\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eax^2+bx+c=0\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. However, some of the normal functions and symbols are not allowed.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ex=[ -b +/- sqrt ( b^2 - 4ac ) ] / ( 2a )\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eUnallowed functions and symbols:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eroots mtimes cross prod cumprod times mldivide mrdivide dot numstr int2str dec2bin * / \\\\ - ^ '\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDerivative of Aurelien's\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://www.mathworks.com/matlabcentral/cody/problems/813-multiply-2-numbers\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eCody 813 Multiply 2 numbers\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAlso related to\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://www.mathworks.com/matlabcentral/cody/problems/833-find-third-side-of-a-right-triangle-given-hypotenuse-and-a-side-no-or-other-functions-allowed/solutions/map\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eCody 833 Side of a Triangle\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTest suite \\\"disallowed function usage check\\\" courtesy of Aurelien Queffurust.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eInput\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ea= 1; b= 1; c=1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eOutput\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ x(1)= -0.5+0.866i; x(2)= -0.5-0.866i]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"}],"problem_search":{"errors":[],"problems":[{"id":44069,"title":"Equal temperament - musical notes and frequency","description":"Starting from 440Hz note (musical note A above middle C), create 13 notes, using  twelve-tone equal temperament, in Herz units.\r\n\u003chttps://en.wikipedia.org/wiki/Equal_temperament\u003e\r\n\r\nYour output will be like [440, ... , 880] all rounded to integer. ","description_html":"\u003cp\u003eStarting from 440Hz note (musical note A above middle C), create 13 notes, using  twelve-tone equal temperament, in Herz units. \u003ca href = \"https://en.wikipedia.org/wiki/Equal_temperament\"\u003ehttps://en.wikipedia.org/wiki/Equal_temperament\u003c/a\u003e\u003c/p\u003e\u003cp\u003eYour output will be like [440, ... , 880] all rounded to integer.\u003c/p\u003e","function_template":"function y = twelveTone()\r\n  y = [440, 880];\r\nend","test_suite":"%%\r\nx = 1;\r\ny_correct = [440,466,494,523,554,587,622,659,698,740,784,831,880];\r\nassert(isequal(twelveTone(),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":115733,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":51,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2017-02-14T00:44:43.000Z","updated_at":"2026-02-19T15:26:29.000Z","published_at":"2017-02-14T00:44:43.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eStarting from 440Hz note (musical note A above middle C), create 13 notes, using twelve-tone equal temperament, in Herz units.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Equal_temperament\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026lt;https://en.wikipedia.org/wiki/Equal_temperament\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour output will be like [440, ... , 880] all rounded to integer.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":43590,"title":"Solve t^(a*x^2+b*x+c)=s","description":"Solve t^(a*x^2+b*x+c)=s. Return x vector as result.\r\n\r\nExample a=1, b=2, c=1, t=3, s=15. Result x(1)= 0.5700  x(2)=-2.5700 \r\n\r\nHint: if we need to solve a*x^2+b*x+c=0 then result will be\r\n\r\nx(1)=(-b+sqrt(b^2-4*a*c))/(2*a); \r\n\r\nx(2)=(-b-sqrt(b^2-4*a*c))/(2*a); ","description_html":"\u003cp\u003eSolve t^(a*x^2+b*x+c)=s. Return x vector as result.\u003c/p\u003e\u003cp\u003eExample a=1, b=2, c=1, t=3, s=15. Result x(1)= 0.5700  x(2)=-2.5700\u003c/p\u003e\u003cp\u003eHint: if we need to solve a*x^2+b*x+c=0 then result will be\u003c/p\u003e\u003cp\u003ex(1)=(-b+sqrt(b^2-4*a*c))/(2*a);\u003c/p\u003e\u003cp\u003ex(2)=(-b-sqrt(b^2-4*a*c))/(2*a);\u003c/p\u003e","function_template":"function x = SolveEquation(a,b,c,t,s)\r\n  y = x;\r\nend","test_suite":"%%\r\na=1;\r\nb=2;\r\nc=1;\r\nt=3;\r\ns=15;\r\ny=SolveEquation(a,b,c,t,s)\r\ny_correct = [ 0.5700  , -2.5700]\r\ntolerance = 1e-4; \r\nassert(abs(y(1)-y_correct(1))\u003ctolerance)\r\nassert(abs(y(2)-y_correct(2))\u003ctolerance)\r\n%%\r\na=1;\r\nb=2;\r\nc=2;\r\nt=exp(1);\r\ns=exp(1);\r\ny=SolveEquation(a,b,c,t,s)\r\ny_correct = [ -1 , -1]\r\ntolerance = 1e-4; \r\nassert(abs(y(1)-y_correct(1))\u003ctolerance)\r\nassert(abs(y(2)-y_correct(2))\u003ctolerance)\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":2,"created_by":90467,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":64,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2016-10-22T17:32:46.000Z","updated_at":"2026-04-07T18:08:05.000Z","published_at":"2016-10-22T17:32:46.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"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\u003eSolve t^(a*x^2+b*x+c)=s. Return x vector as result.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample a=1, b=2, c=1, t=3, s=15. Result x(1)= 0.5700 x(2)=-2.5700\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: if we need to solve a*x^2+b*x+c=0 then result will be\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\u003ex(1)=(-b+sqrt(b^2-4*a*c))/(2*a);\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\u003ex(2)=(-b-sqrt(b^2-4*a*c))/(2*a);\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":834,"title":"Solve Quadratic : No * - or key functions permitted","description":"Solve the quadratic equation *ax^2+bx+c=0*.  However, some of the normal functions and symbols are not allowed.\r\n\r\nx=[ -b +/- sqrt ( b^2 - 4ac ) ] / ( 2a ) \r\n\r\n\r\n*Unallowed functions and symbols:* \r\n\r\nroots mtimes cross prod cumprod times mldivide mrdivide dot numstr int2str dec2bin * / \\ - ^ '\r\n\r\nDerivative of Aurelien's \u003chttp://www.mathworks.com/matlabcentral/cody/problems/813-multiply-2-numbers Cody 813 Multiply 2 numbers\u003e\r\n\r\nAlso related to \u003chttp://www.mathworks.com/matlabcentral/cody/problems/833-find-third-side-of-a-right-triangle-given-hypotenuse-and-a-side-no-or-other-functions-allowed/solutions/map Cody 833 Side of a Triangle\u003e \r\n\r\nTest suite \"disallowed function usage check\" courtesy of Aurelien Queffurust.\r\n\r\nExample : \r\n\r\n*Input*\r\n\r\na= 1; b= 1; c=1\r\n\r\n*Output* \r\n\r\n x(1)= -0.5+0.866i; x(2)= -0.5-0.866i","description_html":"\u003cp\u003eSolve the quadratic equation \u003cb\u003eax^2+bx+c=0\u003c/b\u003e.  However, some of the normal functions and symbols are not allowed.\u003c/p\u003e\u003cp\u003ex=[ -b +/- sqrt ( b^2 - 4ac ) ] / ( 2a )\u003c/p\u003e\u003cp\u003e\u003cb\u003eUnallowed functions and symbols:\u003c/b\u003e\u003c/p\u003e\u003cp\u003eroots mtimes cross prod cumprod times mldivide mrdivide dot numstr int2str dec2bin * / \\ - ^ '\u003c/p\u003e\u003cp\u003eDerivative of Aurelien's \u003ca href=\"http://www.mathworks.com/matlabcentral/cody/problems/813-multiply-2-numbers\"\u003eCody 813 Multiply 2 numbers\u003c/a\u003e\u003c/p\u003e\u003cp\u003eAlso related to \u003ca href=\"http://www.mathworks.com/matlabcentral/cody/problems/833-find-third-side-of-a-right-triangle-given-hypotenuse-and-a-side-no-or-other-functions-allowed/solutions/map\"\u003eCody 833 Side of a Triangle\u003c/a\u003e\u003c/p\u003e\u003cp\u003eTest suite \"disallowed function usage check\" courtesy of Aurelien Queffurust.\u003c/p\u003e\u003cp\u003eExample :\u003c/p\u003e\u003cp\u003e\u003cb\u003eInput\u003c/b\u003e\u003c/p\u003e\u003cp\u003ea= 1; b= 1; c=1\u003c/p\u003e\u003cp\u003e\u003cb\u003eOutput\u003c/b\u003e\u003c/p\u003e\u003cpre\u003e x(1)= -0.5+0.866i; x(2)= -0.5-0.866i\u003c/pre\u003e","function_template":"function x = quadratic(a,b,c)\r\n  x(1)=(-b+sqrt(b^2-4*a*c))/(2*a); % Must delete symbol check will fail\r\n  x(2)=(-b-sqrt(b^2-4*a*c))/(2*a);\r\nend","test_suite":"%%\r\n% Courtesy of Aurelien Queffurust\r\nfiletext = fileread('quadratic.m');\r\nassert(isempty(strfind(filetext, '*')),'sign * forbidden')\r\nassert(isempty(strfind(filetext, 'mtimes')),'mtimes forbidden')\r\nassert(isempty(strfind(filetext, 'cross')),'cross forbidden')\r\nassert(isempty(strfind(filetext, 'prod')),'prod forbidden')\r\nassert(isempty(strfind(filetext, 'cumprod')))\r\nassert(isempty(strfind(filetext, 'times')))\r\nassert(isempty(strfind(filetext, 'mldivide')))\r\nassert(isempty(strfind(filetext, 'mrdivide')))\r\nassert(isempty(strfind(filetext, '/')),'/ forbidden')\r\nassert(isempty(strfind(filetext, '\\')))\r\nassert(isempty(strfind(filetext, '-')))\r\nassert(isempty(strfind(filetext, '^')),'^ forbidden')\r\nassert(isempty(strfind(filetext, 'dot')))\r\nassert(isempty(strfind(filetext, '''')),'string forbidden')\r\nassert(isempty(strfind(filetext, 'num2str')))\r\nassert(isempty(strfind(filetext, 'int2str')))\r\nassert(isempty(strfind(filetext, 'dec2bin')))\r\nassert(isempty(strfind(filetext, 'roots')))\r\n%%\r\na=1;b=1;c=1;\r\nrad=sqrt(b*b-4*a*c);\r\nxe(1)=(-b+rad)/(2*a);\r\nxe(2)=(-b-rad)/(2*a)\r\n\r\nxq = quadratic(a,b,c)\r\n\r\nassert(isequal(round(1e6*xq)/1e6,round(1e6*xe)/1e6) || isequal(round(1e6*xq(2:-1:1))/1e6,round(1e6*xe)/1e6))\r\n%%\r\na=1;b=4;c=1;\r\nrad=sqrt(b*b-4*a*c);\r\nxe(1)=(-b+rad)/(2*a);\r\nxe(2)=(-b-rad)/(2*a)\r\n\r\nxq = quadratic(a,b,c)\r\n\r\nassert(isequal(round(1e6*xq)/1e6,round(1e6*xe)/1e6) || isequal(round(1e6*xq(2:-1:1))/1e6,round(1e6*xe)/1e6))\r\n%%\r\na=1;b=4;c=1;\r\na=a+rand\r\nrad=sqrt(b*b-4*a*c);\r\nxe(1)=(-b+rad)/(2*a);\r\nxe(2)=(-b-rad)/(2*a)\r\n\r\nxq = quadratic(a,b,c)\r\n\r\nassert(isequal(round(1e6*xq)/1e6,round(1e6*xe)/1e6) || isequal(round(1e6*xq(2:-1:1))/1e6,round(1e6*xe)/1e6))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":3097,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":34,"test_suite_updated_at":"2012-07-16T12:17:04.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2012-07-15T21:45:22.000Z","updated_at":"2025-09-27T21:24:29.000Z","published_at":"2012-07-15T22:25:47.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSolve the quadratic equation\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eax^2+bx+c=0\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. However, some of the normal functions and symbols are not allowed.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ex=[ -b +/- sqrt ( b^2 - 4ac ) ] / ( 2a )\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eUnallowed functions and symbols:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eroots mtimes cross prod cumprod times mldivide mrdivide dot numstr int2str dec2bin * / \\\\ - ^ '\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDerivative of Aurelien's\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://www.mathworks.com/matlabcentral/cody/problems/813-multiply-2-numbers\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eCody 813 Multiply 2 numbers\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAlso related to\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://www.mathworks.com/matlabcentral/cody/problems/833-find-third-side-of-a-right-triangle-given-hypotenuse-and-a-side-no-or-other-functions-allowed/solutions/map\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eCody 833 Side of a Triangle\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTest suite \\\"disallowed function usage check\\\" courtesy of Aurelien Queffurust.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eInput\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ea= 1; b= 1; c=1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eOutput\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ x(1)= -0.5+0.866i; x(2)= -0.5-0.866i]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"}],"term":"tag:\"log\"","current_player_id":null,"fields":[{"name":"page","type":"integer","callback":null,"default":1,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":null,"static":null,"prepend":true},{"name":"per_page","type":"integer","callback":null,"default":50,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":null,"static":null,"prepend":true},{"name":"sort","type":"string","callback":null,"default":null,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":null,"static":null,"prepend":true},{"name":"body","type":"text","callback":null,"default":"*:*","directive":null,"facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":false},{"name":"group","type":"string","callback":null,"default":null,"directive":"group","facet":true,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"difficulty_rating_bin","type":"string","callback":null,"default":null,"directive":"difficulty_rating_bin","facet":true,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"id","type":"integer","callback":null,"default":null,"directive":"id","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"tag","type":"string","callback":null,"default":null,"directive":"tag","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"product","type":"string","callback":null,"default":null,"directive":"product","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"created_at","type":"timeframe","callback":{},"default":null,"directive":"created_at","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"profile_id","type":"integer","callback":null,"default":null,"directive":"author_id","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"created_by","type":"string","callback":null,"default":null,"directive":"author","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"player_id","type":"integer","callback":null,"default":null,"directive":"solver_id","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"player","type":"string","callback":null,"default":null,"directive":"solver","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"solvers_count","type":"integer","callback":null,"default":null,"directive":"solvers_count","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"comments_count","type":"integer","callback":null,"default":null,"directive":"comments_count","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"likes_count","type":"integer","callback":null,"default":null,"directive":"likes_count","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"leader_id","type":"integer","callback":null,"default":null,"directive":"leader_id","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"leading_solution","type":"integer","callback":null,"default":null,"directive":"leading_solution","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true}],"filters":[{"name":"asset_type","type":"string","callback":null,"default":null,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":null,"static":"\"cody:problem\"","prepend":true},{"name":"profile_id","type":"integer","callback":{},"default":null,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":"author_id","static":null,"prepend":true}],"query":{"params":{"per_page":50,"term":"tag:\"log\"","current_player":null,"sort":"map(difficulty_value,0,0,999) asc"},"parser":"MathWorks::Search::Solr::QueryParser","directives":{"term":{"directives":{"tag":[["tag:\"log\"","","\"","log","\""]]}}},"facets":{"#\u003cMathWorks::Search::Field:0x00007f636fbac140\u003e":null,"#\u003cMathWorks::Search::Field:0x00007f636fbac0a0\u003e":null},"filters":{"#\u003cMathWorks::Search::Field:0x00007f636fbab600\u003e":"\"cody:problem\""},"fields":{"#\u003cMathWorks::Search::Field:0x00007f636fbad220\u003e":1,"#\u003cMathWorks::Search::Field:0x00007f636fbad180\u003e":50,"#\u003cMathWorks::Search::Field:0x00007f636fbac320\u003e":"map(difficulty_value,0,0,999) asc","#\u003cMathWorks::Search::Field:0x00007f636fbac1e0\u003e":"tag:\"log\""},"user_query":{"#\u003cMathWorks::Search::Field:0x00007f636fbac1e0\u003e":"tag:\"log\""},"queried_facets":{}},"query_backend":{"connection":{"configuration":{"index_url":"http://index-op-v2/solr/","query_url":"http://search-op-v2/solr/","direct_access_index_urls":["http://index-op-v2/solr/"],"direct_access_query_urls":["http://search-op-v2/solr/"],"timeout":10,"vhost":"search","exchange":"search.topic","heartbeat":30,"pre_index_mode":false,"host":"rabbitmq-eks","port":5672,"username":"cody-search","password":"78X075ddcV44","virtual_host":"search","indexer":"amqp","http_logging":"true","core":"cody"},"query_connection":{"uri":"http://search-op-v2/solr/cody/","proxy":null,"connection":{"parallel_manager":null,"headers":{"User-Agent":"Faraday v1.0.1"},"params":{},"options":{"params_encoder":"Faraday::FlatParamsEncoder","proxy":null,"bind":null,"timeout":null,"open_timeout":null,"read_timeout":null,"write_timeout":null,"boundary":null,"oauth":null,"context":null,"on_data":null},"ssl":{"verify":true,"ca_file":null,"ca_path":null,"verify_mode":null,"cert_store":null,"client_cert":null,"client_key":null,"certificate":null,"private_key":null,"verify_depth":null,"version":null,"min_version":null,"max_version":null},"default_parallel_manager":null,"builder":{"adapter":{"name":"Faraday::Adapter::NetHttp","args":[],"block":null},"handlers":[{"name":"Faraday::Response::RaiseError","args":[],"block":null}],"app":{"app":{"ssl_cert_store":{"verify_callback":null,"error":null,"error_string":null,"chain":null,"time":null},"app":{},"connection_options":{},"config_block":null}}},"url_prefix":"http://search-op-v2/solr/cody/","manual_proxy":false,"proxy":null},"update_format":"RSolr::JSON::Generator","update_path":"update","options":{"url":"http://search-op-v2/solr/cody"}}},"query":{"params":{"per_page":50,"term":"tag:\"log\"","current_player":null,"sort":"map(difficulty_value,0,0,999) asc"},"parser":"MathWorks::Search::Solr::QueryParser","directives":{"term":{"directives":{"tag":[["tag:\"log\"","","\"","log","\""]]}}},"facets":{"#\u003cMathWorks::Search::Field:0x00007f636fbac140\u003e":null,"#\u003cMathWorks::Search::Field:0x00007f636fbac0a0\u003e":null},"filters":{"#\u003cMathWorks::Search::Field:0x00007f636fbab600\u003e":"\"cody:problem\""},"fields":{"#\u003cMathWorks::Search::Field:0x00007f636fbad220\u003e":1,"#\u003cMathWorks::Search::Field:0x00007f636fbad180\u003e":50,"#\u003cMathWorks::Search::Field:0x00007f636fbac320\u003e":"map(difficulty_value,0,0,999) asc","#\u003cMathWorks::Search::Field:0x00007f636fbac1e0\u003e":"tag:\"log\""},"user_query":{"#\u003cMathWorks::Search::Field:0x00007f636fbac1e0\u003e":"tag:\"log\""},"queried_facets":{}},"options":{"fields":["id","difficulty_rating"]},"join":" "},"results":[{"id":44069,"difficulty_rating":"easy"},{"id":43590,"difficulty_rating":"easy-medium"},{"id":834,"difficulty_rating":"easy-medium"}]}}