{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-08-24T00:15:41.000Z","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":"2026-08-24T00:00:00.000Z","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":43010,"title":"kmph to mph converter","description":"Convert the speed in miles/hour to km/hour.","description_html":"\u003cp\u003eConvert the speed in miles/hour to km/hour.\u003c/p\u003e","function_template":"function y = mph2kmph(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 1;\r\ny_correct = 1.60934;\r\nassert(isequal(mph2kmph(x),y_correct))\r\n\r\n%%\r\nx = 10;\r\ny_correct = 16.0934;\r\nassert(isequal(mph2kmph(x),y_correct))\r\n\r\n%%\r\nx = 5;\r\ny_correct = 8.0467;\r\nassert(isequal(mph2kmph(x),y_correct))\r\n\r\n%%\r\nx = 50;\r\ny_correct = 80.467;\r\nassert(isequal(mph2kmph(x),y_correct))\r\n\r\n","published":true,"deleted":false,"likes_count":6,"comments_count":0,"created_by":91311,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":196,"test_suite_updated_at":"2016-10-04T04:45:23.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2016-10-04T04:43:44.000Z","updated_at":"2026-08-25T12:24:54.000Z","published_at":"2016-10-04T04:43:44.000Z","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\u003eConvert the speed in miles/hour to km/hour.\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":45563,"title":"Times 10","description":"Try out this test problem first.\r\n\r\nGiven the variable x as your input, multiply it by ten and put the result in y.\r\n\r\nExamples:\r\n\r\n Input  x = 1\r\n Output y is 10\r\n Input  x = 2\r\n Output y is 20\r\n\r\n","description_html":"\u003cp\u003eTry out this test problem first.\u003c/p\u003e\u003cp\u003eGiven the variable x as your input, multiply it by ten and put the result in y.\u003c/p\u003e\u003cp\u003eExamples:\u003c/p\u003e\u003cpre\u003e Input  x = 1\r\n Output y is 10\r\n Input  x = 2\r\n Output y is 20\u003c/pre\u003e","function_template":"function y = times10(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nassert(isequal(times10(1),10));,,\r\n\r\n%%\r\nassert(isequal(times10(2),20));,\r\n\r\n\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":445209,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":126,"test_suite_updated_at":"2020-05-21T15:25:12.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-05-21T15:23:45.000Z","updated_at":"2026-05-30T14:17:52.000Z","published_at":"2020-05-21T15:25:12.000Z","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\u003eTry out this test problem first.\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\u003eGiven the variable x as your input, multiply it by ten and put the result in y.\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\u003eExamples:\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[ Input  x = 1\\n Output y is 10\\n Input  x = 2\\n Output y is 20]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":43479,"title":"Modulation index","description":"The amplitude of the carrier signal is 2V and the amplitude of the modulating signal is 8V. Find its modulation index.","description_html":"\u003cp\u003eThe amplitude of the carrier signal is 2V and the amplitude of the modulating signal is 8V. Find its modulation index.\u003c/p\u003e","function_template":"function z = your_fcn_name(x,y)\r\n  z = ;\r\nend","test_suite":"%%\r\nx = 8; y=2;\r\nz_correct = 4;\r\nassert(isequal(your_fcn_name(x,y),z_correct))\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":1,"created_by":87885,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":89,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2016-10-11T22:34:12.000Z","updated_at":"2026-02-06T15:38:09.000Z","published_at":"2016-10-11T22:34:12.000Z","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\u003eThe amplitude of the carrier signal is 2V and the amplitude of the modulating signal is 8V. Find its modulation index.\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":43033,"title":"Create a constant offset.","description":"Add a constant offset to an array.\r\n\r\nExample\r\n\r\n a = [1 3 5 9]\r\n offset = 2\r\n y = [3 5 7 11]","description_html":"\u003cp\u003eAdd a constant offset to an array.\u003c/p\u003e\u003cp\u003eExample\u003c/p\u003e\u003cpre\u003e a = [1 3 5 9]\r\n offset = 2\r\n y = [3 5 7 11]\u003c/pre\u003e","function_template":"function y = constant_offset(a,offset)\r\n  y = a;\r\nend","test_suite":"%%\r\na = 1;\r\noffset = 2\r\ny_correct = 3;\r\nassert(isequal(constant_offset(a,offset),y_correct))\r\n\r\n%%\r\na = [-1 1];\r\noffset = 2\r\ny_correct = [1 3];\r\nassert(isequal(constant_offset(a,offset),y_correct))\r\n\r\n%%\r\na = [-10:1:1];\r\noffset = 10\r\ny_correct = [0:11];\r\nassert(isequal(constant_offset(a,offset),y_correct))\r\n","published":true,"deleted":false,"likes_count":7,"comments_count":0,"created_by":91311,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":137,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2016-10-05T08:20:41.000Z","updated_at":"2026-08-25T12:10:44.000Z","published_at":"2016-10-05T08:20:41.000Z","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\u003eAdd a constant offset to an array.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ a = [1 3 5 9]\\n offset = 2\\n y = [3 5 7 11]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":2378,"title":"Area of a triangle","description":"A triangle is given with base *'b'* ,vertical hight *'h'* . then find it's area.","description_html":"\u003cp\u003eA triangle is given with base \u003cb\u003e'b'\u003c/b\u003e ,vertical hight \u003cb\u003e'h'\u003c/b\u003e . then find it's area.\u003c/p\u003e","function_template":"function A = trg_area(b,h)\r\n  A=f(b,h);\r\nend","test_suite":"%%\r\nb = 1;\r\nh=5\r\ny_correct = 2.5;\r\nassert(isequal(trg_area(b,h),y_correct))\r\n\r\n%%\r\nb = 1;\r\nh=10\r\ny_correct = 5;\r\nassert(isequal(trg_area(b,h),y_correct))","published":true,"deleted":false,"likes_count":5,"comments_count":0,"created_by":22553,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":1005,"test_suite_updated_at":"2014-07-07T12:31:13.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2014-06-18T17:40:40.000Z","updated_at":"2026-08-14T17:22:23.000Z","published_at":"2014-06-18T17:40:40.000Z","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\u003eA triangle is given with base\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\u003e'b'\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e ,vertical hight\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\u003e'h'\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e . then find it's area.\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":45430,"title":"Juego de posiciones","description":"Crea una función que ordene vectores de tal manera que los primeros números sean negativos ordenados de menor a mayor. Y después vayan los números positivos ordenados de mayor a menor. \r\n\r\nPor ejemplo:\r\n\r\ny = [-1 6 15 -7 31 2 -4 -5];\r\n\r\ny_correct = [-7 -5 -4 -1 31 15 6 2];\r\n\r\nPD: Considerad el cero como número positivo. ","description_html":"\u003cp\u003eCrea una función que ordene vectores de tal manera que los primeros números sean negativos ordenados de menor a mayor. Y después vayan los números positivos ordenados de mayor a menor.\u003c/p\u003e\u003cp\u003ePor ejemplo:\u003c/p\u003e\u003cp\u003ey = [-1 6 15 -7 31 2 -4 -5];\u003c/p\u003e\u003cp\u003ey_correct = [-7 -5 -4 -1 31 15 6 2];\u003c/p\u003e\u003cp\u003ePD: Considerad el cero como número positivo.\u003c/p\u003e","function_template":"function x = order(y)\r\n \r\nend","test_suite":"%%\r\ny = [-1 6 15 -7 31 2 -4 -5];\r\ny_correct = [-7 -5 -4 -1 31 15 6 2];\r\nassert(isequal(order(y),y_correct))\r\n%%\r\ny=[6 7 -34 9 0];\r\ny_correct= [-34 9 7 6 0];\r\nassert(isequal(order(y),y_correct))\r\n%%\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":394942,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":46,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-04-09T11:48:17.000Z","updated_at":"2026-08-18T12:08:53.000Z","published_at":"2020-04-10T07:53:03.000Z","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\u003eCrea una función que ordene vectores de tal manera que los primeros números sean negativos ordenados de menor a mayor. Y después vayan los números positivos ordenados de mayor a menor.\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\u003ePor ejemplo:\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\u003ey = [-1 6 15 -7 31 2 -4 -5];\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\u003ey_correct = [-7 -5 -4 -1 31 15 6 2];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ePD: Considerad el cero como número positivo.\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":45568,"title":"Times 5","description":"Try out this test problem first.\r\n\r\nGiven the variable x as your input, multiply it by five and put the result in y.\r\n\r\nExamples:\r\n\r\nInput  x = 1\r\n Output y is 5\r\n Input  x = 2\r\n Output y is 10","description_html":"\u003cp\u003eTry out this test problem first.\u003c/p\u003e\u003cp\u003eGiven the variable x as your input, multiply it by five and put the result in y.\u003c/p\u003e\u003cp\u003eExamples:\u003c/p\u003e\u003cp\u003eInput  x = 1\r\n Output y is 5\r\n Input  x = 2\r\n Output y is 10\u003c/p\u003e","function_template":"function y = times5(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nassert(isequal(times5(1),5));\r\n\r\n%%\r\nassert(isequal(times5(2),10));\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":443529,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":119,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-05-21T15:30:36.000Z","updated_at":"2026-05-30T14:17:53.000Z","published_at":"2020-05-21T15:30:36.000Z","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\u003eTry out this test problem first.\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\u003eGiven the variable x as your input, multiply it by five and put the result in y.\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\u003eExamples:\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\u003eInput x = 1 Output y is 5 Input x = 2 Output y is 10\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":42986,"title":"Determine the roots of a cubic equation","description":"Given the coefficients a, b, c, and d of a cubic equation, a*x^3 + b*x^2 + c*x + d = 0, determine its roots.","description_html":"\u003cp\u003eGiven the coefficients a, b, c, and d of a cubic equation, a*x^3 + b*x^2 + c*x + d = 0, determine its roots.\u003c/p\u003e","function_template":"function y = cubicRoots(a,b,c,d)\r\n  y = [0 0 0];\r\nend","test_suite":"%%\r\na=1; b=3; c=3; d=1;\r\ny_correct = [-1 -1 -1];\r\nassert(sum(abs(cubicRoots(a,b,c,d)-y_correct))\u003c1e-3)\r\n\r\n%%\r\na=1; b=-6; c=11; d=-6;\r\ny_correct = [1 2 3];\r\nassert(sum(abs(cubicRoots(a,b,c,d)-y_correct))\u003c1e-3)\r\n\r\n%%\r\na=4; b=4; c=-1; d=-1;\r\ny_correct = [-1 -0.5 0.5];\r\nassert(sum(abs(cubicRoots(a,b,c,d)-y_correct))\u003c1e-3)","published":true,"deleted":false,"likes_count":3,"comments_count":2,"created_by":91311,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":56,"test_suite_updated_at":"2016-09-30T16:42:08.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2016-09-16T10:40:42.000Z","updated_at":"2026-08-25T12:26:48.000Z","published_at":"2016-09-16T10:40:42.000Z","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 coefficients a, b, c, and d of a cubic equation, a*x^3 + b*x^2 + c*x + d = 0, determine its roots.\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":1355,"title":"Given area find sides","description":"In a right angle triangle given area 'A' \r\none arm=x, another arm=2x\r\nthen find the value of x.\r\n\r\nFor example, area A=400 then x=20;","description_html":"\u003cp\u003eIn a right angle triangle given area 'A' \r\none arm=x, another arm=2x\r\nthen find the value of x.\u003c/p\u003e\u003cp\u003eFor example, area A=400 then x=20;\u003c/p\u003e","function_template":"function y = findside(A)\r\n  y = x+2x;\r\nend","test_suite":"%%\r\nA = 400;\r\ny_correct = 20;\r\nassert(isequal(findside(A),y_correct))\r\n\r\n%%\r\nA = 144;\r\ny_correct = 12;\r\nassert(isequal(findside(A),y_correct))\r\n\r\n%%\r\nA = 225;\r\ny_correct = 15;\r\nassert(isequal(findside(A),y_correct))\r\n\r\n%%\r\nA = 256;\r\ny_correct = 16;\r\nassert(isequal(findside(A),y_correct))\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":6975,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":567,"test_suite_updated_at":"2013-03-18T04:52:06.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2013-03-18T04:15:57.000Z","updated_at":"2026-07-28T18:16:54.000Z","published_at":"2013-03-18T04:23:49.000Z","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\u003eIn a right angle triangle given area 'A' one arm=x, another arm=2x then find the value of x.\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\u003eFor example, area A=400 then x=20;\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":60321,"title":"Area of right triangle","description":"Given a hypotenuse and a leg , calculate the area of right triangle.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; 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: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407.5px 10.5px; transform-origin: 407.5px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384.5px 10.5px; text-align: left; transform-origin: 384.5px 10.5px; white-space-collapse: preserve; 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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven a hypotenuse and a leg , calculate the area of right triangle.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = area(b,c)\r\n  y = b+c;\r\nend","test_suite":"%%\r\nb=4\r\nc=5\r\ny_correct = 6;\r\nassert(isequal(area(b,c),y_correct))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":1,"created_by":4201661,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":19,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2024-05-15T21:08:41.000Z","updated_at":"2026-06-05T04:53:12.000Z","published_at":"2024-05-15T21:08:41.000Z","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:rPr/\u003e\u003cw:t\u003eGiven a hypotenuse and a leg , calculate the area of right triangle.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":61451,"title":"Geometry time 5! (Hard)","description":"In the following shape you are requested to find the radius of the circle(r):\r\n\r\nFurther explanation: 1) ABCD and pink shape are squares.\r\n2)The area of the small square (A) will be given. \r\nNO TIPS. GOOD LUCK!!!!!!!!!!!!!!!!!!","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 434.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 217.4px; transform-origin: 469px 217.4px; 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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn the following shape you are requested to find the radius of the circle(r):\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 314.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 157.4px; text-align: left; transform-origin: 445px 157.4px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cimg class=\"imageNode\" width=\"308\" height=\"309\" style=\"vertical-align: baseline;width: 308px;height: 309px\" 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\" data-image-state=\"image-loaded\"\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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003eFurther explanation: 1) ABCD and pink shape are squares.\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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003e2)The area of the small square (A) will be given. \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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eNO TIPS. GOOD LUCK!!!!!!!!!!!!!!!!!!\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function r = circle_radius(A)\r\n    \r\nend","test_suite":"%%\r\nA = 16;\r\ny_correct = 2.3431;\r\nassert(abs(circle_radius(A) - y_correct) \u003c 1e-3);\r\n%%\r\nA_test = rand() * 499 + 1; \r\nr_user = circle_radius(A_test);\r\nk = 2 - sqrt(2); \r\nr_expected = sqrt(A_test) * k;\r\nassert(abs(r_user - r_expected) \u003c 1e-6, ...\r\n    'Test failed for random area input A = %g.', A_test);\r\n%%\r\nA = 25;\r\ny_correct = 2.9289;\r\nassert(abs(circle_radius(A) - y_correct) \u003c 1e-3);\r\n%%\r\nA = 121;\r\ny_correct = 6.4437;\r\nassert(abs(circle_radius(A) - y_correct) \u003c 1e-3);\r\n%%\r\nA = 10000;\r\ny_correct = 58.5786;\r\nassert(abs(circle_radius(A) - y_correct) \u003c 1e-3);","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":5158730,"edited_by":5158730,"edited_at":"2026-08-24T15:20:41.000Z","deleted_by":null,"deleted_at":null,"solvers_count":3,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-24T11:30:44.000Z","updated_at":"2026-08-26T08:05:06.000Z","published_at":"2026-08-24T11:30:44.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIn the following shape you are requested to find the radius of the circle(r):\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=\\\"309\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"308\\\"/\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:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFurther explanation: 1) ABCD and pink shape are squares.\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:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2)The area of the small square (A) will be given. \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\u003eNO TIPS. GOOD 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problem","description":"find the nth term of the sequence:\r\n790\r\n1303\r\n2033\r\n____\r\n4366\r\n6095\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; 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: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 194.625px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 97.3125px; transform-origin: 407px 97.3125px; 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 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perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e____\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e4366\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e6095\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ol\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = sequence(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nfunctions={'polyfit','polyval'};\r\nassessFunctionAbsence(functions, 'FileName', 'sequence.m');\r\n\r\n%%\r\nx = 1;\r\ny_correct = 790;\r\nassert(isequal(sequence(x),y_correct))\r\n\r\n%%\r\nx = 2;\r\ny_correct = 1303;\r\nassert(isequal(sequence(x),y_correct))\r\n\r\n%%\r\nx = 6;\r\ny_correct = 6095;\r\nassert(isequal(sequence(x),y_correct))\r\n\r\n%%\r\nx = 7;\r\ny_correct = 8293;\r\nassert(isequal(sequence(x),y_correct))\r\n\r\n%%\r\nx = 10;\r\ny_correct = 18511;\r\nassert(isequal(sequence(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":2900827,"edited_by":2900827,"edited_at":"2023-02-20T05:07:22.000Z","deleted_by":null,"deleted_at":null,"solvers_count":10,"test_suite_updated_at":"2023-02-20T05:07:22.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2023-02-19T16:34:33.000Z","updated_at":"2026-06-03T23:09:03.000Z","published_at":"2023-02-19T16:35:26.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003efind the nth term of the sequence:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e790\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e1303\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc 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margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven the rectangle below you are requested to calculate its area(A) while the length of AE, BE and CE is given.\u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"279\" height=\"185\" style=\"vertical-align: baseline;width: 279px;height: 185px\" 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\" data-image-state=\"image-loaded\"\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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFurther explanation: The angle EDC(z) is also given.\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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTip: If you want, assume that D has the same coordinates as the coordinates of the original.\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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGOOD LUCK!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function A = find_rec_area(AE,DE,CE,z)\r\n  \r\nend","test_suite":"%%\r\nw_test = 10;\r\nh_test = 5;\r\nDE_val = 6;\r\nz_val = 45;\r\nxE_test = -DE_val * cosd(z_val);\r\nyE_test = -DE_val * sind(z_val);\r\nAE_val = sqrt(xE_test^2 + (h_test - yE_test)^2);\r\nCE_val = sqrt((w_test - xE_test)^2 + yE_test^2);\r\nexpected_A = w_test * h_test;\r\nuser_A = find_rec_area(AE_val, DE_val, CE_val, z_val);\r\nassert(abs(user_A - expected_A) \u003c 1e-4, 'Test 1 Failed: Incorrect area for fixed test case.');\r\nfor i = 1:5\r\n    w_rand = randi([10, 50]);\r\n    h_rand = randi([10, 50]);\r\n    DE_rand = randi([2, 8]);\r\n    z_rand = randi([15, 75]);\r\n    xE_rand = -DE_rand * cosd(z_rand);\r\n    yE_rand = -DE_rand * sind(z_rand);\r\n    AE_rand = sqrt(xE_rand^2 + (h_rand - yE_rand)^2);\r\n    CE_rand = sqrt((w_rand - xE_rand)^2 + yE_rand^2);\r\n    expected_area = w_rand * h_rand;\r\n    actual_area = find_rec_area(AE_rand, DE_rand, CE_rand, z_rand);\r\n    assert(abs(actual_area - expected_area) \u003c 1e-4, sprintf('Random Test %d Failed.', i));\r\nend\r\n%% \r\ncode = fileread('find_rec_area.m');\r\nhas_regexp = ~isempty(strfind(code, 'regexp')) || ~isempty(strfind(code, 'regexprep'));\r\nassert(~has_regexp, 'FORBIDDEN: You are not allowed to use regexp or regexprep in your code!');","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":5158730,"edited_by":5158730,"edited_at":"2026-08-24T11:37:28.000Z","deleted_by":null,"deleted_at":null,"solvers_count":3,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-24T09:42:53.000Z","updated_at":"2026-08-26T07:11:12.000Z","published_at":"2026-08-24T09:42:53.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven the rectangle below you are requested to calculate its area(A) while the length of AE, BE and CE is given.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"185\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"279\\\"/\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\u003eFurther explanation: The angle EDC(z) is also given.\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\u003eTip: If you want, assume that D has the same coordinates as the coordinates of the original.\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\u003eGOOD 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your geometry knowledge!(simple)","description":"We have the following shape and you need to:\r\n1) Find the area of the triangle ABE(A_tr). (Suppose that the angle E is 90 degrees.)\r\n2) Find the area of the semi-circle where DC is the diameter.(A_sc)\r\n3)Find the perimeter of the whole shape.(P_s)\r\n4)Find the perimeter of the semi circle if we separate it from the whole shape(P_sc).\r\n\r\nExplanation if you are confused: x is the length and y is the width of the rectangle ABCDA and they will be given.\r\nGOOD LUCK!!!!!!!!!!!!!!!!!!!!!!!!!!!!!","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 551.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 275.9px; transform-origin: 469px 275.9px; 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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWe have the following shape and you need to:\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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e1) Find the area of the triangle ABE(A_tr). (Suppose that the angle E is 90 degrees.)\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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e2) Find the area of the semi-circle where DC is the diameter.(A_sc)\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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e3)Find the perimeter of the whole shape.(P_s)\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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e4)Find the perimeter of the semi circle if we separate it from the whole shape(P_sc).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 341.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 170.9px; text-align: left; transform-origin: 445px 170.9px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cimg class=\"imageNode\" width=\"630\" height=\"336\" style=\"vertical-align: baseline;width: 630px;height: 336px\" 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data-image-state=\"image-loaded\"\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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003eExplanation if you are confused: x is the length and y is the width of the rectangle ABCDA and they will be given.\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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGOOD LUCK!!!!!!!!!!!!!!!!!!!!!!!!!!!!!\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [A_tr A_sc P_s P_sc] = AREAS_AND_PERIMETERS(x,y)\r\n    \r\nend","test_suite":"%%\r\n[a1, a2, p1, p2] = AREAS_AND_PERIMETERS(3, 4);\r\nassert(abs(a1 - 2.16) \u003c 1e-4);\r\nassert(abs(a2 - (9*pi/8)) \u003c 1e-4);\r\nassert(abs(p1 - (11 + 1.5*pi)) \u003c 1e-4);\r\nassert(abs(p2 - (3 + 1.5*pi)) \u003c 1e-4);\r\n\r\n%%\r\n[a1, a2, p1, p2] = AREAS_AND_PERIMETERS(6, 8);\r\nassert(abs(a1 - 8.64) \u003c 1e-4);\r\nassert(abs(a2 - (9*pi/2)) \u003c 1e-4);\r\nassert(abs(p1 - (22 + 3*pi)) \u003c 1e-4);\r\nassert(abs(p2 - (6 + 3*pi)) \u003c 1e-4);\r\n\r\n%%\r\n[a1, a2, p1, p2] = AREAS_AND_PERIMETERS(5, 12);\r\nassert(abs(a1 - (750/169)) \u003c 1e-4);\r\nassert(abs(a2 - (25*pi/8)) \u003c 1e-4);\r\nassert(abs(p1 - (29 + 2.5*pi)) \u003c 1e-4);\r\nassert(abs(p2 - (5 + 2.5*pi)) \u003c 1e-4);\r\n\r\n%%\r\n[a1, a2, p1, p2] = AREAS_AND_PERIMETERS(10, 10);\r\nassert(abs(a1 - 25) \u003c 1e-4);\r\nassert(abs(a2 - (25*pi/2)) \u003c 1e-4);\r\nassert(abs(p1 - (30 + 5*pi)) \u003c 1e-4);\r\nassert(abs(p2 - (10 + 5*pi)) \u003c 1e-4);\r\n\r\n%%\r\nfor i = 1:10\r\n    rx = rand() * 99 + 1;\r\n    ry = rand() * 99 + 1;\r\n    \r\n    [a1, a2, p1, p2] = AREAS_AND_PERIMETERS(rx, ry);\r\n    \r\n    exp1 = (rx^3 * ry) / (2 * (rx^2 + ry^2));\r\n    exp2 = (pi * rx^2) / 8;\r\n    exp3 = rx + 2*ry + (pi * rx)/2;\r\n    exp4 = rx + (pi * rx)/2;\r\n    \r\n    assert(abs(a1 - exp1) \u003c 1e-4);\r\n    assert(abs(a2 - exp2) \u003c 1e-4);\r\n    assert(abs(p1 - exp3) \u003c 1e-4);\r\n    assert(abs(p2 - exp4) \u003c 1e-4);\r\nend","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":5158730,"edited_by":5158730,"edited_at":"2026-08-23T12:02:47.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":"2026-08-23T11:59:11.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-23T10:40:32.000Z","updated_at":"2026-08-25T11:59:12.000Z","published_at":"2026-08-23T11:59:11.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWe have the following shape and you need to:\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\u003e1) Find the area of the triangle ABE(A_tr). (Suppose that the angle E is 90 degrees.)\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\u003e2) Find the area of the semi-circle where DC is the diameter.(A_sc)\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\u003e3)Find the perimeter of the whole shape.(P_s)\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\u003e4)Find the perimeter of the semi circle if we separate it from the whole shape(P_sc).\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=\\\"336\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"630\\\"/\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:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExplanation if you are confused: x is the length and y is the width of the rectangle ABCDA and they will be given.\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 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":58847,"title":"Possible American Football Scoring Combinations","description":"With inspiration from Problem 56195. Possible Ruby Scores, given the final score for two teams in an American football game (score1, score2), return two matrices (team1_combs, team2_combs) representing all possible combinations of scores by each team (Official NFL Scoring Plays). \r\nIn American football, the 7 possible ways of scoring are:\r\nTouchdown - 6 points\r\nTry after touchdown - 1 point\r\nTry after touchdown - 2 points\r\nSafety - 2 points\r\nField Goal - 3 points\r\nDefensive safety on try after touchdown (i.e. conversion safety) - 1 points\r\nDefensive \"touchdown\" on try after touchdown - 2 points\r\nValues for score1 and score2 include all natural numbers (realistically \u003c100), and the resulting matrices will have dimensions n1 x 7 and n2 x 7, where n1, n2 are the total number of possible scoring combinations for each team, respectively. The order of the elements in the rows for team1_combs and team2_combs should follow the above list.\r\n*** Attention - There is added complexity in the scoring possibilities in that the number of tries after touchdowns (also known as extra points or point after attempts) must be less than or equal to number of touchdowns. This constraint is further complicated by the possibility of defensive scores on tries after touchdowns, in which the possible number of scores is constrained by the touchdowns scored by the opposing team.\r\nExample\r\n[t1_combs, t2_combs] = amerfootballscores(5, 8)\r\n\r\nt1_combs =\r\n\r\n     0     0     0     0     1     0     1\r\n     0     0     0     1     1     0     0\r\n     0     0     0     2     0     1     0\r\n\r\n\r\nt2_combs =\r\n\r\n     0     0     0     1     2     0     0\r\n     0     0     0     4     0     0     0\r\n     1     0     0     1     0     0     0\r\n     1     0     1     0     0     0     0\r\nThis system is known as a linear Diophantine equation, an equation where only the integer--and in this case only nonnegative--solutions are of interest.\r\nEach team's score can be modeled by the following equation:\r\n6(tds) + 1(off. 1 pt. pats) + 2(off. 2 pt. pats) + 2(safs) + 3(fgs) + 1(def. 1 pt. pats) + 2(def. 2 pt. pats) = score\r\n    \u003e\u003e\u003e with the added constraints:\r\n                off. 1 pt. pats + off. 2 pt. pats \u003c= tds\r\n                def. 1pt. pats + def. 2pt. pats \u003c= tds for opponent","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; 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: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 970.625px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 485.312px; transform-origin: 407px 485.312px; vertical-align: baseline; \"\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-collapse: preserve; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eWith inspiration from \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/56195-possible-rugby-scores\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eProblem 56195. Possible Ruby Scores\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, given the final score for two teams in an American football game (score1, score2), return two matrices (team1_combs, team2_combs) representing all possible combinations of scores by each team (\u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://operations.nfl.com/the-rules/nfl-video-rulebook/scoring-plays/\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eOfficial NFL Scoring Plays\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e). \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-collapse: preserve; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eIn American football, the 7 possible ways of scoring are:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003col style=\"block-size: 143.062px; font-family: Helvetica, Arial, sans-serif; list-style-type: decimal; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 71.525px; transform-origin: 391px 71.5312px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eTouchdown - 6 points\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eTry after touchdown - 1 point\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eTry after touchdown - 2 points\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eSafety - 2 points\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eField Goal - 3 points\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eDefensive safety on try after touchdown (i.e. conversion safety) - 1 points\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eDefensive \"touchdown\" on try after touchdown - 2 points\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ol\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-collapse: preserve; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eValues for score1 and score2 include all natural numbers (realistically \u0026lt;100), and the resulting matrices will have dimensions n1 x 7 and n2 x 7, where n1, n2 are the total number of possible scoring combinations for each team, respectively. The order of the elements in the rows for team1_combs and team2_combs should follow the above list.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; 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 42px; text-align: left; transform-origin: 384px 42px; white-space-collapse: preserve; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e*** Attention - There is added complexity in the scoring possibilities in that the number of tries after touchdowns (also known as extra points or point after attempts) must be less than or equal to number of touchdowns. This constraint is further complicated by the possibility of defensive scores on tries after touchdowns, in which the possible number of scores is constrained by the touchdowns scored by the \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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; text-decoration: underline; text-decoration-line: underline; \"\u003eopposing team\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e.\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-collapse: preserve; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 306.562px; 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 153.275px; transform-origin: 404px 153.281px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; 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: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; 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 10.2125px; text-wrap: nowrap; transform-origin: 404px 10.2188px; \"\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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e[t1_combs, t2_combs] = amerfootballscores(5, 8)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; 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: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; 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 10.2125px; text-wrap: nowrap; transform-origin: 404px 10.2188px; \"\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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; 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: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; 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 10.2125px; text-wrap: nowrap; transform-origin: 404px 10.2188px; \"\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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003et1_combs =\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; 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: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; 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 10.2125px; text-wrap: nowrap; transform-origin: 404px 10.2188px; \"\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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; 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: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; 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 10.2125px; text-wrap: nowrap; transform-origin: 404px 10.2188px; \"\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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     0     0     0     0     1     0     1\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; 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: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; 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 10.2125px; text-wrap: nowrap; transform-origin: 404px 10.2188px; \"\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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     0     0     0     1     1     0     0\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; 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: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; 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 10.2125px; text-wrap: nowrap; transform-origin: 404px 10.2188px; \"\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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     0     0     0     2     0     1     0\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; 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: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; 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 10.2125px; text-wrap: nowrap; transform-origin: 404px 10.2188px; \"\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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; 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: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; 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 10.2125px; text-wrap: nowrap; transform-origin: 404px 10.2188px; \"\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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; 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: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; 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 10.2125px; text-wrap: nowrap; transform-origin: 404px 10.2188px; \"\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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003et2_combs =\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; 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: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; 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 10.2125px; text-wrap: nowrap; transform-origin: 404px 10.2188px; \"\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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; 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: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; 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 10.2125px; text-wrap: nowrap; transform-origin: 404px 10.2188px; \"\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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     0     0     0     1     2     0     0\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; 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: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; 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 10.2125px; text-wrap: nowrap; transform-origin: 404px 10.2188px; \"\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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     0     0     0     4     0     0     0\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; 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: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; 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 10.2125px; text-wrap: nowrap; transform-origin: 404px 10.2188px; \"\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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     1     0     0     1     0     0     0\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; 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: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; 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 10.2125px; text-wrap: nowrap; transform-origin: 404px 10.2188px; \"\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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     1     0     1     0     0     0     0\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-collapse: preserve; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThis system is known as a linear \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Diophantine_equation\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eDiophantine equation\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, an equation where only the integer--and in this case only nonnegative--solutions are of interest.\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-collapse: preserve; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eEach team's score can be modeled by the following equation:\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-collapse: preserve; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e6(tds) + 1(off. 1 pt. pats) + 2\u003c/span\u003e\u003cspan style=\"border-block-end-style: solid; border-block-end-width: 0.8px; border-bottom-style: solid; border-bottom-width: 0.8px; \"\u003e(\u003c/span\u003e\u003cspan style=\"\"\u003eoff. 2 pt. pats\u003c/span\u003e\u003cspan style=\"border-block-end-style: solid; border-block-end-width: 0.8px; border-bottom-style: solid; border-bottom-width: 0.8px; \"\u003e)\u003c/span\u003e\u003cspan style=\"\"\u003e + 2(safs) + 3(fgs) + 1(def. 1 pt. pats) + 2(def. 2 pt. pats) = score\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-collapse: preserve; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e    \u0026gt;\u0026gt;\u0026gt; with the added constraints:\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-collapse: preserve; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e                off. 1 pt. pats + off. 2 pt. pats \u0026lt;= tds\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-collapse: preserve; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e                def. 1pt. pats + def. 2pt. pats \u0026lt;= tds for opponent\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [t1_combs,t2_combs] = amerfootballscores(s1,s2)  \r\nt1_combs = [];  \r\nt2_combs = [];\r\n\r\nend","test_suite":"%%\r\ns1 = 5;\r\ns2 = 8;\r\nteam1 = [0     0     0     0     1     0     1;\r\n         0     0     0     1     1     0     0;\r\n         0     0     0     2     0     1     0];\r\nteam2 = [0     0     0     1     2     0     0;\r\n         0     0     0     4     0     0     0;\r\n         1     0     0     1     0     0     0;\r\n         1     0     1     0     0     0     0];\r\n[t1_combs,t2_combs] = amerfootballscores(s1,s2);\r\nassert(isequal([t1_combs;t2_combs],[team1;team2]))\r\n\r\n%%\r\ns1 = 0;\r\ns2 = 28;\r\nteam1 = [0     0     0     0     0     0     0];\r\nteam2 = [0     0     0     2     8     0     0;\r\n         0     0     0     5     6     0     0;\r\n         0     0     0     8     4     0     0;\r\n         0     0     0    11     2     0     0;\r\n         0     0     0    14     0     0     0;\r\n         1     0     0     2     6     0     0;\r\n         1     0     0     5     4     0     0;\r\n         1     0     0     8     2     0     0;\r\n         1     0     0    11     0     0     0;\r\n         1     0     1     1     6     0     0;\r\n         1     0     1     4     4     0     0;\r\n         1     0     1     7     2     0     0;\r\n         1     0     1    10     0     0     0;\r\n         1     1     0     0     7     0     0;\r\n         1     1     0     3     5     0     0;\r\n         1     1     0     6     3     0     0;\r\n         1     1     0     9     1     0     0;\r\n         2     0     0     2     4     0     0;\r\n         2     0     0     5     2     0     0;\r\n         2     0     0     8     0     0     0;\r\n         2     0     1     1     4     0     0;\r\n         2     0     1     4     2     0     0;\r\n         2     0     1     7     0     0     0;\r\n         2     0     2     0     4     0     0;\r\n         2     0     2     3     2     0     0;\r\n         2     0     2     6     0     0     0;\r\n         2     1     0     0     5     0     0;\r\n         2     1     0     3     3     0     0;\r\n         2     1     0     6     1     0     0;\r\n         2     1     1     2     3     0     0;\r\n         2     1     1     5     1     0     0;\r\n         2     2     0     1     4     0     0;\r\n         2     2     0     4     2     0     0;\r\n         2     2     0     7     0     0     0;\r\n         3     0     0     2     2     0     0;\r\n         3     0     0     5     0     0     0;\r\n         3     0     1     1     2     0     0;\r\n         3     0     1     4     0     0     0;\r\n         3     0     2     0     2     0     0;\r\n         3     0     2     3     0     0     0;\r\n         3     0     3     2     0     0     0;\r\n         3     1     0     0     3     0     0;\r\n         3     1     0     3     1     0     0;\r\n         3     1     1     2     1     0     0;\r\n         3     1     2     1     1     0     0;\r\n         3     2     0     1     2     0     0;\r\n         3     2     0     4     0     0     0;\r\n         3     2     1     0     2     0     0;\r\n         3     2     1     3     0     0     0;\r\n         3     3     0     2     1     0     0;\r\n         4     0     0     2     0     0     0;\r\n         4     0     1     1     0     0     0;\r\n         4     0     2     0     0     0     0;\r\n         4     1     0     0     1     0     0;\r\n         4     2     0     1     0     0     0;\r\n         4     2     1     0     0     0     0;\r\n         4     4     0     0     0     0     0];\r\n[t1_combs,t2_combs] = amerfootballscores(s1,s2);\r\nassert(isequal([t1_combs;t2_combs],[team1;team2]))\r\n\r\n%%\r\ns1 = 37;\r\ns2 = 49;\r\n[t1_combs,t2_combs] = amerfootballscores(s1,s2);\r\n% Matrices are rather large, so test case is dependent on the size of each output matrix, \r\n% where the number of rows will equate to the total number of scoring combinations\r\n[t1_rows,t1_cols] = size(t1_combs);\r\n[t2_rows,t2_cols] = size(t2_combs);\r\nassert(isequal([t1_rows,t2_rows],[2894,5625]))\r\n\r\n%%\r\ns1 = 37;\r\ns2 = 49;\r\n[t1_combs,t2_combs] = amerfootballscores(s1,s2);\r\n% Matrices are rather large, so test case is dependent on the sums of each column. These\r\n% values don't have any practical application.\r\nt1_sums = [6724, 2210, 1774, 10752, 6776, 7566, 5789];\r\nt2_sums = [19476, 6398, 5272, 28518, 18222, 11185, 9470];\r\nassert(isequal([t1_sums;t2_sums],[sum(t1_combs);sum(t2_combs)]))","published":true,"deleted":false,"likes_count":0,"comments_count":8,"created_by":3499438,"edited_by":3499438,"edited_at":"2023-08-17T23:02:26.000Z","deleted_by":null,"deleted_at":null,"solvers_count":6,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-08-09T17:04:20.000Z","updated_at":"2026-06-04T20:28:24.000Z","published_at":"2023-08-10T05:17:56.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWith inspiration from \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/56195-possible-rugby-scores\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProblem 56195. Possible Ruby Scores\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, given the final score for two teams in an American football game (score1, score2), return two matrices (team1_combs, team2_combs) representing all possible combinations of scores by each team (\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://operations.nfl.com/the-rules/nfl-video-rulebook/scoring-plays/\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eOfficial NFL Scoring Plays\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\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\u003eIn American football, the 7 possible ways of scoring are:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTouchdown - 6 points\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTry after touchdown - 1 point\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTry after touchdown - 2 points\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSafety - 2 points\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eField Goal - 3 points\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDefensive safety on try after touchdown (i.e. conversion safety) - 1 points\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDefensive \\\"touchdown\\\" on try after touchdown - 2 points\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\u003eValues for score1 and score2 include all natural numbers (realistically \u0026lt;100), and the resulting matrices will have dimensions n1 x 7 and n2 x 7, where n1, n2 are the total number of possible scoring combinations for each team, respectively. The order of the elements in the rows for team1_combs and team2_combs should follow the above list.\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:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e*** Attention - There is added complexity in the scoring possibilities in that the number of tries after touchdowns (also known as extra points or point after attempts) must be less than or equal to number of touchdowns. This constraint is further complicated by the possibility of defensive scores on tries after touchdowns, in which the possible number of scores is constrained by the touchdowns scored by the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eopposing team\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[[t1_combs, t2_combs] = amerfootballscores(5, 8)\\n\\nt1_combs =\\n\\n     0     0     0     0     1     0     1\\n     0     0     0     1     1     0     0\\n     0     0     0     2     0     1     0\\n\\n\\nt2_combs =\\n\\n     0     0     0     1     2     0     0\\n     0     0     0     4     0     0     0\\n     1     0     0     1     0     0     0\\n     1     0     1     0     0     0     0]]\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\u003eThis system is known as a linear \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Diophantine_equation\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eDiophantine equation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, an equation where only the integer--and in this case only nonnegative--solutions are of interest.\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\u003eEach team's score can be modeled by the following equation:\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\u003e6(tds) + 1(off. 1 pt. pats) + 2(off. 2 pt. pats) + 2(safs) + 3(fgs) + 1(def. 1 pt. pats) + 2(def. 2 pt. pats) = score\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e    \u0026gt;\u0026gt;\u0026gt; with the added constraints:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                off. 1 pt. pats + off. 2 pt. pats \u0026lt;= tds\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                def. 1pt. pats + def. 2pt. pats \u0026lt;= tds for opponent\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":47,"title":"Extract leading non-zero digit","description":"\u003chttp://en.wikipedia.org/wiki/Benford%27s_law Benford's Law\u003e states that the distribution of leading digits is not random.  This is probably because many things grow logarithmically.  Extract the leading digit from these vectors.\r\n\r\n* 10 --\u003e 1 \r\n* 13 --\u003e 1 \r\n* 0.3 --\u003e 3\r\n* -4 --\u003e 4 \r\n* -5 --\u003e 5 \r\n* -0.006 --\u003e 6\r\n\r\nInput will be a vector\r\n\r\n x = [1 0.3 -2 0.001 -0.0006, 582398, 3020];\r\n\r\nOutput should be\r\n\r\n y = [1 3 2 1 6 5 3];\r\n","description_html":"\u003cp\u003e\u003ca href=\"http://en.wikipedia.org/wiki/Benford%27s_law\"\u003eBenford's Law\u003c/a\u003e states that the distribution of leading digits is not random.  This is probably because many things grow logarithmically.  Extract the leading digit from these vectors.\u003c/p\u003e\u003cul\u003e\u003cli\u003e10 --\u003e 1\u003c/li\u003e\u003cli\u003e13 --\u003e 1\u003c/li\u003e\u003cli\u003e0.3 --\u003e 3\u003c/li\u003e\u003cli\u003e-4 --\u003e 4\u003c/li\u003e\u003cli\u003e-5 --\u003e 5\u003c/li\u003e\u003cli\u003e-0.006 --\u003e 6\u003c/li\u003e\u003c/ul\u003e\u003cp\u003eInput will be a vector\u003c/p\u003e\u003cpre\u003e x = [1 0.3 -2 0.001 -0.0006, 582398, 3020];\u003c/pre\u003e\u003cp\u003eOutput should be\u003c/p\u003e\u003cpre\u003e y = [1 3 2 1 6 5 3];\u003c/pre\u003e","function_template":"function y = leadingDigit(x)\r\n  y = x\r\nend","test_suite":"%%\r\nx = [100 23 -34 0.005 -0.466664 -0.555 1 134534];\r\ny_correct = [1 2 3 5 4 5 1 1];\r\nassert(isequal(leadingDigit(x),y_correct))\r\n\r\n%%\r\nx = [57 -0.2 8913 -63 0.838127];\r\ny_correct = [5 2 8 6 8];\r\nassert(isequal(leadingDigit(x),y_correct))\r\n\r\n%%\r\nx = [-0.4336    0.3426    3.5784    2.7694   -1.3499];\r\ny_correct = [4 3 3 2 1];\r\nassert(isequal(leadingDigit(x),y_correct))\r\n\r\n%%\r\nx = [0.3000 -0.1 -0.00000002 0.5 0.002];\r\ny_correct = [3 1 2 5 2];\r\nassert(isequal(leadingDigit(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":7,"comments_count":5,"created_by":1,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":2256,"test_suite_updated_at":"2012-05-29T14:34:23.000Z","rescore_all_solutions":false,"group_id":2,"created_at":"2012-01-18T01:00:23.000Z","updated_at":"2026-08-15T02:28:08.000Z","published_at":"2012-01-18T01:00:23.000Z","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:hyperlink w:docLocation=\\\"http://en.wikipedia.org/wiki/Benford%27s_law\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eBenford's Law\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e states that the distribution of leading digits is not random. This is probably because many things grow logarithmically. Extract the leading digit from these vectors.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e10 --\u0026gt; 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e13 --\u0026gt; 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e0.3 --\u0026gt; 3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e-4 --\u0026gt; 4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e-5 --\u0026gt; 5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e-0.006 --\u0026gt; 6\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\u003eInput will be a vector\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 0.3 -2 0.001 -0.0006, 582398, 3020];]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOutput should be\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[ y = [1 3 2 1 6 5 3];]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":331,"title":"Compute Area from Fixed Sum Cumulative Probability","description":"In Matlab the code\r\n v = rand(1,3);\r\n v = v/sum(v);\r\nis sometimes suggested as a convenient means of generating three random variables, whose ranges are restricted to [0,1], which have a fixed sum of one. However, this procedure has the property that the area-wise density distribution of the three values, considered as cartesian coordinates in 3D space, is widely variable throughout the planar region of possible locations of v. For any given density value in the range of this density distribution, let A be the corresponding area of the subregion of all points whose density is less than or equal to this given value, and let P be the corresponding probability that v would lie in this subregion. The task is to write a function 'fixedsumarea' which receives P as an input and gives A as an output:\r\n A = fixedsumarea(P);\r\nYou should assume that initially 'rand(1,3)' perfectly generates three independent random variables each uniformly distributed on [0,1], but subsequently each is modified by being divided by their mutual sum.","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: 311.3px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 155.65px; transform-origin: 407px 155.65px; 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: 58px 8px; transform-origin: 58px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn Matlab the code\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 40.8667px; 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 20.4333px; transform-origin: 404px 20.4333px; 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: 60px 8.5px; tab-size: 4; transform-origin: 60px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e v = rand(1,3);\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: 56px 8.5px; tab-size: 4; transform-origin: 56px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e v = v/sum(v);\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 147px; 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 73.5px; text-align: left; transform-origin: 384px 73.5px; 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: 371.5px 8px; transform-origin: 371.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eis sometimes suggested as a convenient means of generating three random variables, whose ranges are restricted to [0,1], which have a fixed sum of one. However, this procedure has the property that the area-wise density distribution of the three values, considered as cartesian coordinates in 3D space, is widely variable throughout the planar region of possible locations of v. For any given density value in the range of this density distribution, let A be the corresponding area of the subregion of all points whose density is less than or equal to this given value, and let P be the corresponding probability that v would lie in this subregion. The task is to write a function 'fixedsumarea' which receives P as an input and gives A as an output:\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: 84px 8.5px; tab-size: 4; transform-origin: 84px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e A = fixedsumarea(P);\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: 362.5px 8px; transform-origin: 362.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYou should assume that initially 'rand(1,3)' perfectly generates three independent random variables each uniformly distributed on [0,1], but subsequently each is modified by being divided by their mutual sum.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function A = fixedsumarea(P)\r\n  P = 1/2;\r\n  A = 0;\r\nend","test_suite":"%%\r\nfiletext = fileread('fixedsumarea.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || ...\r\n          contains(filetext, 'elseif') || contains(filetext, 'switch ');\r\nassert(~illegal)\r\n\r\n%%\r\nP = pi/4;\r\nA_correct = 0.7984235067141288;\r\nassert(abs(fixedsumarea(P)-A_correct)\u003c100*eps)\r\n%%\r\nP = 1/sqrt(11);\r\nA_correct = 0.4964013344766580;\r\nassert(abs(fixedsumarea(P)-A_correct)\u003c100*eps)\r\n%%\r\nP = exp(-3);\r\nA_correct = 0.1494793760894695;\r\nassert(abs(fixedsumarea(P)-A_correct)\u003c100*eps)\r\n%%\r\nP = (1/27)^(1/5);\r\nA_correct = 0.6605992894366502;\r\nassert(abs(fixedsumarea(P)-A_correct)\u003c100*eps)\r\n%%\r\nP = sin(sqrt(2));\r\nA_correct = 0.8634048022602919;\r\nassert(abs(fixedsumarea(P)-A_correct)\u003c100*eps)\r\n%%\r\nP = 68/137;\r\nA_correct = 0.6471420329484348;\r\nassert(abs(fixedsumarea(P)-A_correct)\u003c100*eps)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":7,"created_by":28,"edited_by":223089,"edited_at":"2023-02-21T09:48:12.000Z","deleted_by":null,"deleted_at":null,"solvers_count":8,"test_suite_updated_at":"2023-02-21T09:48:12.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2012-02-17T05:58:59.000Z","updated_at":"2026-08-06T09:03:06.000Z","published_at":"2012-02-17T18:47:40.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIn Matlab the code\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[ v = rand(1,3);\\n v = v/sum(v);]]\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\u003eis sometimes suggested as a convenient means of generating three random variables, whose ranges are restricted to [0,1], which have a fixed sum of one. However, this procedure has the property that the area-wise density distribution of the three values, considered as cartesian coordinates in 3D space, is widely variable throughout the planar region of possible locations of v. For any given density value in the range of this density distribution, let A be the corresponding area of the subregion of all points whose density is less than or equal to this given value, and let P be the corresponding probability that v would lie in this subregion. The task is to write a function 'fixedsumarea' which receives P as an input and gives A as an output:\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[ A = fixedsumarea(P);]]\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\u003eYou should assume that initially 'rand(1,3)' perfectly generates three independent random variables each uniformly distributed on [0,1], but subsequently each is modified by being divided by their mutual sum.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"problem_search":{"problems":[{"id":43010,"title":"kmph to mph converter","description":"Convert the speed in miles/hour to km/hour.","description_html":"\u003cp\u003eConvert the speed in miles/hour to km/hour.\u003c/p\u003e","function_template":"function y = mph2kmph(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 1;\r\ny_correct = 1.60934;\r\nassert(isequal(mph2kmph(x),y_correct))\r\n\r\n%%\r\nx = 10;\r\ny_correct = 16.0934;\r\nassert(isequal(mph2kmph(x),y_correct))\r\n\r\n%%\r\nx = 5;\r\ny_correct = 8.0467;\r\nassert(isequal(mph2kmph(x),y_correct))\r\n\r\n%%\r\nx = 50;\r\ny_correct = 80.467;\r\nassert(isequal(mph2kmph(x),y_correct))\r\n\r\n","published":true,"deleted":false,"likes_count":6,"comments_count":0,"created_by":91311,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":196,"test_suite_updated_at":"2016-10-04T04:45:23.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2016-10-04T04:43:44.000Z","updated_at":"2026-08-25T12:24:54.000Z","published_at":"2016-10-04T04:43:44.000Z","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\u003eConvert the speed in miles/hour to km/hour.\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":45563,"title":"Times 10","description":"Try out this test problem first.\r\n\r\nGiven the variable x as your input, multiply it by ten and put the result in y.\r\n\r\nExamples:\r\n\r\n Input  x = 1\r\n Output y is 10\r\n Input  x = 2\r\n Output y is 20\r\n\r\n","description_html":"\u003cp\u003eTry out this test problem first.\u003c/p\u003e\u003cp\u003eGiven the variable x as your input, multiply it by ten and put the result in y.\u003c/p\u003e\u003cp\u003eExamples:\u003c/p\u003e\u003cpre\u003e Input  x = 1\r\n Output y is 10\r\n Input  x = 2\r\n Output y is 20\u003c/pre\u003e","function_template":"function y = times10(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nassert(isequal(times10(1),10));,,\r\n\r\n%%\r\nassert(isequal(times10(2),20));,\r\n\r\n\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":445209,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":126,"test_suite_updated_at":"2020-05-21T15:25:12.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-05-21T15:23:45.000Z","updated_at":"2026-05-30T14:17:52.000Z","published_at":"2020-05-21T15:25:12.000Z","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\u003eTry out this test problem first.\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\u003eGiven the variable x as your input, multiply it by ten and put the result in y.\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\u003eExamples:\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[ Input  x = 1\\n Output y is 10\\n Input  x = 2\\n Output y is 20]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":43479,"title":"Modulation index","description":"The amplitude of the carrier signal is 2V and the amplitude of the modulating signal is 8V. Find its modulation index.","description_html":"\u003cp\u003eThe amplitude of the carrier signal is 2V and the amplitude of the modulating signal is 8V. Find its modulation index.\u003c/p\u003e","function_template":"function z = your_fcn_name(x,y)\r\n  z = ;\r\nend","test_suite":"%%\r\nx = 8; y=2;\r\nz_correct = 4;\r\nassert(isequal(your_fcn_name(x,y),z_correct))\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":1,"created_by":87885,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":89,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2016-10-11T22:34:12.000Z","updated_at":"2026-02-06T15:38:09.000Z","published_at":"2016-10-11T22:34:12.000Z","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\u003eThe amplitude of the carrier signal is 2V and the amplitude of the modulating signal is 8V. Find its modulation index.\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":43033,"title":"Create a constant offset.","description":"Add a constant offset to an array.\r\n\r\nExample\r\n\r\n a = [1 3 5 9]\r\n offset = 2\r\n y = [3 5 7 11]","description_html":"\u003cp\u003eAdd a constant offset to an array.\u003c/p\u003e\u003cp\u003eExample\u003c/p\u003e\u003cpre\u003e a = [1 3 5 9]\r\n offset = 2\r\n y = [3 5 7 11]\u003c/pre\u003e","function_template":"function y = constant_offset(a,offset)\r\n  y = a;\r\nend","test_suite":"%%\r\na = 1;\r\noffset = 2\r\ny_correct = 3;\r\nassert(isequal(constant_offset(a,offset),y_correct))\r\n\r\n%%\r\na = [-1 1];\r\noffset = 2\r\ny_correct = [1 3];\r\nassert(isequal(constant_offset(a,offset),y_correct))\r\n\r\n%%\r\na = [-10:1:1];\r\noffset = 10\r\ny_correct = [0:11];\r\nassert(isequal(constant_offset(a,offset),y_correct))\r\n","published":true,"deleted":false,"likes_count":7,"comments_count":0,"created_by":91311,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":137,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2016-10-05T08:20:41.000Z","updated_at":"2026-08-25T12:10:44.000Z","published_at":"2016-10-05T08:20:41.000Z","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\u003eAdd a constant offset to an array.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ a = [1 3 5 9]\\n offset = 2\\n y = [3 5 7 11]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":2378,"title":"Area of a triangle","description":"A triangle is given with base *'b'* ,vertical hight *'h'* . then find it's area.","description_html":"\u003cp\u003eA triangle is given with base \u003cb\u003e'b'\u003c/b\u003e ,vertical hight \u003cb\u003e'h'\u003c/b\u003e . then find it's area.\u003c/p\u003e","function_template":"function A = trg_area(b,h)\r\n  A=f(b,h);\r\nend","test_suite":"%%\r\nb = 1;\r\nh=5\r\ny_correct = 2.5;\r\nassert(isequal(trg_area(b,h),y_correct))\r\n\r\n%%\r\nb = 1;\r\nh=10\r\ny_correct = 5;\r\nassert(isequal(trg_area(b,h),y_correct))","published":true,"deleted":false,"likes_count":5,"comments_count":0,"created_by":22553,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":1005,"test_suite_updated_at":"2014-07-07T12:31:13.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2014-06-18T17:40:40.000Z","updated_at":"2026-08-14T17:22:23.000Z","published_at":"2014-06-18T17:40:40.000Z","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\u003eA triangle is given with base\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\u003e'b'\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e ,vertical hight\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\u003e'h'\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e . then find it's area.\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":45430,"title":"Juego de posiciones","description":"Crea una función que ordene vectores de tal manera que los primeros números sean negativos ordenados de menor a mayor. Y después vayan los números positivos ordenados de mayor a menor. \r\n\r\nPor ejemplo:\r\n\r\ny = [-1 6 15 -7 31 2 -4 -5];\r\n\r\ny_correct = [-7 -5 -4 -1 31 15 6 2];\r\n\r\nPD: Considerad el cero como número positivo. ","description_html":"\u003cp\u003eCrea una función que ordene vectores de tal manera que los primeros números sean negativos ordenados de menor a mayor. Y después vayan los números positivos ordenados de mayor a menor.\u003c/p\u003e\u003cp\u003ePor ejemplo:\u003c/p\u003e\u003cp\u003ey = [-1 6 15 -7 31 2 -4 -5];\u003c/p\u003e\u003cp\u003ey_correct = [-7 -5 -4 -1 31 15 6 2];\u003c/p\u003e\u003cp\u003ePD: Considerad el cero como número positivo.\u003c/p\u003e","function_template":"function x = order(y)\r\n \r\nend","test_suite":"%%\r\ny = [-1 6 15 -7 31 2 -4 -5];\r\ny_correct = [-7 -5 -4 -1 31 15 6 2];\r\nassert(isequal(order(y),y_correct))\r\n%%\r\ny=[6 7 -34 9 0];\r\ny_correct= [-34 9 7 6 0];\r\nassert(isequal(order(y),y_correct))\r\n%%\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":394942,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":46,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-04-09T11:48:17.000Z","updated_at":"2026-08-18T12:08:53.000Z","published_at":"2020-04-10T07:53:03.000Z","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\u003eCrea una función que ordene vectores de tal manera que los primeros números sean negativos ordenados de menor a mayor. Y después vayan los números positivos ordenados de mayor a menor.\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\u003ePor ejemplo:\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\u003ey = [-1 6 15 -7 31 2 -4 -5];\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\u003ey_correct = [-7 -5 -4 -1 31 15 6 2];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ePD: Considerad el cero como número positivo.\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":45568,"title":"Times 5","description":"Try out this test problem first.\r\n\r\nGiven the variable x as your input, multiply it by five and put the result in y.\r\n\r\nExamples:\r\n\r\nInput  x = 1\r\n Output y is 5\r\n Input  x = 2\r\n Output y is 10","description_html":"\u003cp\u003eTry out this test problem first.\u003c/p\u003e\u003cp\u003eGiven the variable x as your input, multiply it by five and put the result in y.\u003c/p\u003e\u003cp\u003eExamples:\u003c/p\u003e\u003cp\u003eInput  x = 1\r\n Output y is 5\r\n Input  x = 2\r\n Output y is 10\u003c/p\u003e","function_template":"function y = times5(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nassert(isequal(times5(1),5));\r\n\r\n%%\r\nassert(isequal(times5(2),10));\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":443529,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":119,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-05-21T15:30:36.000Z","updated_at":"2026-05-30T14:17:53.000Z","published_at":"2020-05-21T15:30:36.000Z","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\u003eTry out this test problem first.\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\u003eGiven the variable x as your input, multiply it by five and put the result in y.\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\u003eExamples:\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\u003eInput x = 1 Output y is 5 Input x = 2 Output y is 10\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":42986,"title":"Determine the roots of a cubic equation","description":"Given the coefficients a, b, c, and d of a cubic equation, a*x^3 + b*x^2 + c*x + d = 0, determine its roots.","description_html":"\u003cp\u003eGiven the coefficients a, b, c, and d of a cubic equation, a*x^3 + b*x^2 + c*x + d = 0, determine its roots.\u003c/p\u003e","function_template":"function y = cubicRoots(a,b,c,d)\r\n  y = [0 0 0];\r\nend","test_suite":"%%\r\na=1; b=3; c=3; d=1;\r\ny_correct = [-1 -1 -1];\r\nassert(sum(abs(cubicRoots(a,b,c,d)-y_correct))\u003c1e-3)\r\n\r\n%%\r\na=1; b=-6; c=11; d=-6;\r\ny_correct = [1 2 3];\r\nassert(sum(abs(cubicRoots(a,b,c,d)-y_correct))\u003c1e-3)\r\n\r\n%%\r\na=4; b=4; c=-1; d=-1;\r\ny_correct = [-1 -0.5 0.5];\r\nassert(sum(abs(cubicRoots(a,b,c,d)-y_correct))\u003c1e-3)","published":true,"deleted":false,"likes_count":3,"comments_count":2,"created_by":91311,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":56,"test_suite_updated_at":"2016-09-30T16:42:08.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2016-09-16T10:40:42.000Z","updated_at":"2026-08-25T12:26:48.000Z","published_at":"2016-09-16T10:40:42.000Z","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 coefficients a, b, c, and d of a cubic equation, a*x^3 + b*x^2 + c*x + d = 0, determine its roots.\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":1355,"title":"Given area find sides","description":"In a right angle triangle given area 'A' \r\none arm=x, another arm=2x\r\nthen find the value of x.\r\n\r\nFor example, area A=400 then x=20;","description_html":"\u003cp\u003eIn a right angle triangle given area 'A' \r\none arm=x, another arm=2x\r\nthen find the value of x.\u003c/p\u003e\u003cp\u003eFor example, area A=400 then x=20;\u003c/p\u003e","function_template":"function y = findside(A)\r\n  y = x+2x;\r\nend","test_suite":"%%\r\nA = 400;\r\ny_correct = 20;\r\nassert(isequal(findside(A),y_correct))\r\n\r\n%%\r\nA = 144;\r\ny_correct = 12;\r\nassert(isequal(findside(A),y_correct))\r\n\r\n%%\r\nA = 225;\r\ny_correct = 15;\r\nassert(isequal(findside(A),y_correct))\r\n\r\n%%\r\nA = 256;\r\ny_correct = 16;\r\nassert(isequal(findside(A),y_correct))\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":6975,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":567,"test_suite_updated_at":"2013-03-18T04:52:06.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2013-03-18T04:15:57.000Z","updated_at":"2026-07-28T18:16:54.000Z","published_at":"2013-03-18T04:23:49.000Z","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\u003eIn a right angle triangle given area 'A' one arm=x, another arm=2x then find the value of x.\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\u003eFor example, area A=400 then x=20;\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":60321,"title":"Area of right triangle","description":"Given a hypotenuse and a leg , calculate the area of right triangle.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; 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: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407.5px 10.5px; transform-origin: 407.5px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384.5px 10.5px; text-align: left; transform-origin: 384.5px 10.5px; white-space-collapse: preserve; 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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven a hypotenuse and a leg , calculate the area of right triangle.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = area(b,c)\r\n  y = b+c;\r\nend","test_suite":"%%\r\nb=4\r\nc=5\r\ny_correct = 6;\r\nassert(isequal(area(b,c),y_correct))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":1,"created_by":4201661,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":19,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2024-05-15T21:08:41.000Z","updated_at":"2026-06-05T04:53:12.000Z","published_at":"2024-05-15T21:08:41.000Z","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:rPr/\u003e\u003cw:t\u003eGiven a hypotenuse and a leg , calculate the area of right triangle.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":61451,"title":"Geometry time 5! (Hard)","description":"In the following shape you are requested to find the radius of the circle(r):\r\n\r\nFurther explanation: 1) ABCD and pink shape are squares.\r\n2)The area of the small square (A) will be given. \r\nNO TIPS. GOOD LUCK!!!!!!!!!!!!!!!!!!","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 434.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 217.4px; transform-origin: 469px 217.4px; 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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn the following shape you are requested to find the radius of the circle(r):\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 314.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 157.4px; text-align: left; transform-origin: 445px 157.4px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cimg class=\"imageNode\" width=\"308\" height=\"309\" style=\"vertical-align: baseline;width: 308px;height: 309px\" 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\" data-image-state=\"image-loaded\"\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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003eFurther explanation: 1) ABCD and pink shape are squares.\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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003e2)The area of the small square (A) will be given. \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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eNO TIPS. GOOD LUCK!!!!!!!!!!!!!!!!!!\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function r = circle_radius(A)\r\n    \r\nend","test_suite":"%%\r\nA = 16;\r\ny_correct = 2.3431;\r\nassert(abs(circle_radius(A) - y_correct) \u003c 1e-3);\r\n%%\r\nA_test = rand() * 499 + 1; \r\nr_user = circle_radius(A_test);\r\nk = 2 - sqrt(2); \r\nr_expected = sqrt(A_test) * k;\r\nassert(abs(r_user - r_expected) \u003c 1e-6, ...\r\n    'Test failed for random area input A = %g.', A_test);\r\n%%\r\nA = 25;\r\ny_correct = 2.9289;\r\nassert(abs(circle_radius(A) - y_correct) \u003c 1e-3);\r\n%%\r\nA = 121;\r\ny_correct = 6.4437;\r\nassert(abs(circle_radius(A) - y_correct) \u003c 1e-3);\r\n%%\r\nA = 10000;\r\ny_correct = 58.5786;\r\nassert(abs(circle_radius(A) - y_correct) \u003c 1e-3);","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":5158730,"edited_by":5158730,"edited_at":"2026-08-24T15:20:41.000Z","deleted_by":null,"deleted_at":null,"solvers_count":3,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-24T11:30:44.000Z","updated_at":"2026-08-26T08:05:06.000Z","published_at":"2026-08-24T11:30:44.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIn the following shape you are requested to find the radius of the circle(r):\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=\\\"309\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"308\\\"/\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:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFurther explanation: 1) ABCD and pink shape are squares.\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:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2)The area of the small square (A) will be given. \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\u003eNO TIPS. GOOD 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Uj6MvG0NtbjUxvHbrT09DV3YCOrmbs6mrErq4mtO9KoW3XLOxsn40d7d7aY0RE5ZdINOi7AIProJ/ptTZM13M/04xy9cE3BAj74GvOJo5opBPNDS+gqeFFJOP/QVPi30jGX8a0qesQcTIAgL6+CHp6HWSzLtxcL3K5LHI5IJsFcjnAzQE5N/+mAu/HyHWBwn+YCi/SzW+WtXuzLcCyFZSKwrItRCJZRCM9hXoLOztmYNuOfdDSuh+2tL4JLa0LsXnbftjV5a1+QUQ0NoZ6zZn0Ouhneq0N0/XczzSjXH1wcibso739fvT1cXIWNrHoLsxJPY1ZzX/H7OZnMLv5acTr88uKpDNV6O1xkc1m0NsL9PQAfX1Ab29+AlYuSgGOA0Qi+S0aBWwnAsdxUFPdDQDY1dWADS0HYe3mQ7F+88FYu2kx2ncV/xUEEVEQnJwNZppRrj44ORP2wWfOwmFq7SbMm/0Y9pz1OPae8yiaG14CAHR2VaOvtxuZDPq3ck7AglIqP1mLxfKbE6lCTXUvbDuLne0z8dq6t2P1+qOwev0x2NK6QC8nIhLj5Gww04xy9cHJmbAPPnM2PpTK4k17/gHz5z6CBfMeQlPiP+jri6CrW6En04PubiCdHvqeZhNVLAZUVwNVVRaisSiqYmm072rGy6+/E6+sOQH/ef0kdHYXf/0IEVExnJwNZppRrj44ORP2IXnmbKgf/DD14WeaUa4+9pgTR9O0VjRPb8W8Wb2wLaBjl0Im7aKrKz8Zm2yi0fxkrboaqKkBHAfYsMXBa+ur8craCDbL3jUe6PtRKT9X7EOWwT7kGWHqQ/IEwlDXqDD14WeaUUl9cPkmCoUpNTkcvG8a557UirPf9m8ctm8LkvW9aNkMvPoqsGmji+3bJ+fEDMi/Xq6tDdi8GVi9Gli3Dqh2+rB44S5cdPp2fPzsNhzzlm40xWX33SEiovDi5IzGjWO7OGB+Bue/swOfOn8njn1rN2qjPVi3Dnj9dRctLcCuXRPjtWPl1t0NbNsGrFvnYs0awO3L4i0L0vjImW346JltOPyANKbW8QtHRDQRcXImJHgmkoTmpPpw6tGd+Oz7d+CdR3QiXteL9euBNWtcbN2an3iQXCYDbN8ObFifn6jZbhaHH9CNT567E+e+owP7zsvfyoOIiCYGTs6EvPtbUTARx8XB+6bxsbPa8L5T27HXjB5s2ZL/FV1LC9DVpVdQEJkM0NoKrFvrYv16oGFqL04/bhc+c8EOHHtwN6ZN4a89iYjCzlJKwbIsqMLyAtLNsvLzOn3/UFvQDH3fcJvpeK9G0oeEXuPP0PcNt5mO92qG+zfoW9AMfd9wm2VZaJiWxdsXt+MzF+7AcYu7YLtZvP46sGmTi44O/StIo6mrKz/xfe01YFeHi4Pmp3HxWa1499t2YM+ZfYO+X8W2sP5c6ftKbexDvpnWmI73atiHbJPX9J/6QxpcsztjuOP6Jv83Ba8xHe/VVEofqrm52UVhpXUYrBUVjUbR0NBgtIaVaYb3j3RdV1xjmiHtY/v2e0uurdncnNJ3ASHrw880w6SPWU09eMuCLrxpbhqdnQodHS7a2/VRVG41NcDUqflt07YI/vFSLV56vUof1i9sP1ce0wz2Ic9gH/KMMPUxkmtUmPrwM82opD5UMpnsn5xZloVsNit+q2dDQwN6enqwdetW/XBRphmqsJK767ri1d9NM6R97Ny5rOQPfjLZpO8CQtaHn2mGpI95M3twyJu7MHdGD9o7gPY2/soyjKJRYNq0/La9zcbT/67Bc6uq9WGh+bnSmWawD3kG+5BnhKmPHTuWobc32DUqTH34mWZUUh+8z5mwD97nbPg+9prdiyMO7Mac5j60twM7duRf/0ThZtvA9OlAfT3Q0WXhb89V49mXY/3Hx/vnaiimGexDnsE+5Blh6oP3OausPvLPtVFJgq/npDQ31YsL3tmBc9/RgfrqPrzxRv5eXJyYTQzZbP6WHK+/DmR7cnjHEZ245L07sf8+/AYSEY0XTs6EJC+2nEwap2dx5tt34cJTOxCf0os1a/IvPu/hXRsmpFwu/y7PN14HkM3h3W/rxIdPb8O8mZykERGVGydnQnzmLC8WcfH2xbvwsbPaMKuxF+vW8ZmySuI9k7Z6NVATyeLMt2/HsYtWIz6V32AionLh5EyIz5wBb12YxsVnbcF+87qxaVP+dhi8YWxl6uvLPxO6di0wraYDZx37Oo4/pAuOzf+lEBGNNU7OqKTZzX344LvbceLhnehod7FuHe9RNlmk0/l1TTdtAg6cn8Fl5/L1aEREY42TMxqSZQEnHNqF95/WjilVfXjj9fwyQTT5dHTkVx1Id7l499s6seSkDiTqZW8jJyIiM5ycCU2215zNn9uDTyzZiQP3yWDjxvzryoTvGqYK1toKrFkDNMf7cPHZbTh0/7Q+hIiIRoiTM6HJ8poz2wZOPrIT7z1xF3K9Oaxd62LXLn0UTWaZTP5XnVu3Am9f3IULT2lH43Q+i0ZENFosFG6qZsqrkdZKx/mFKWMkz5xJMzzScX6jkbHXrF5ccvZO7LtHD9avB4Q3WKZJaufO/LNo06f04aNntuHgfdNFf65KGY2f3VKYIccMuTBmBGGaIR3nxww5pdTu5ZtUYUkC6R1vo9EoGhsbkclksG3bNv1wUaYZAGDbNgCIl0kwzZD2MZLlmxCiPvz8Gce8pROHH9CJnTsB4Y2VifpNmwYkk8B/3ojh4aemItMbEf/sYgKcH1LsQ5bBPuQZEPYxkuWbwtSHn2lGJfWhUqlU/+RMKQXXdcXLCyQSCaMFRk0zvPEwWDDUNEPaR2vr0pKTs1Rqhr4LCFkffkopxOuzOOnQHUjGe7FtK9+FScHFYkBDg4KyFP7w1HS8tj4m+tkN8/lhksE+5BnsQ54h7aO19V709Byu7x5gqGtUmPrwM82opD5UIpFwUZgJOo5jtPZTMplEJpMRr2FlmqGUguM4cF1XPOM0zZD20d6+vOTamolEg74LCFkffvvt3Yt3HtmBdDewdavLF/zTqGhszK/XueLZGqz45+DF1HVhPT9MM9iHPIN9yDOkfYzkGhWmPvxMMyqpD8v1zeS8j6WbaY3p+CA1puPlNYWv2jAG15hmBB9vWnPswZ1499va0d7mYtMmTsxo9GzdCmzaBBxxQBfee2I7YtHcoJ8/fYPBz26Q8UFqTMcHqTEdH6TGdHyQGtPxQWpMxwepMR0fpMZ0vLwGJQ2uMc0IPj5Ijen4IDWm44PUmI53XZfv1pQK8Jq+UKqOuTj3HR045M1pbNyYvzUC0Wjr6ADWrQNmNPThI6e3YVYTZ/9EY6lSrlGUx8mZkOR/JWE3o7EPHz69Dc3xPqxfD94ig8ZUTw+wYb0L5HL4wLvacQBXFiAiEuHkTGii/69k33k9+OC722G5OWzY4KKnRx9BNDZaWvKLqb/rbZ045i1cjJWIqBROziaBw/ZP44y378L27fk7/ROV2/bt+dehHXVQN047plM/TEREPpycVbgTDu3C8Yd2oaWFry+j8eW9Dm3B3B6c/84ORCMV8FoBIqIxwMlZBXvX2zpx8L5pbNgAtLXpR4nKL50GNm50kZzehw+8qx31dbL7BBERTSacnFUgpYBzTurAm+b2YMMGoJO/RaIQ6e3Nr81ZHc3h/ae1IxmX3WWbiGiy4ORMaKK8WzPi5PC+U9sxo7EPGze4SKf1EUTjL5fLT9CQy+GCU9owo7FXH0JENGmpVCrlKqVgWZbxHWwTiQR6enpEa1gFybAsC7ZtwxXeiTdIhrSPkSzfVK4+ZjTX420HrEJ1NI2WzbyxLE0MTU1ATa3C8r804o2N+TXrhhP0/JCc554gGeU6z9mHLGOy9TGSa1SY+vAEyaikPtSiRYtc+P4C6UKetm2juroa2WwW3d2yt8ebZqDwhXB9d9ktxTRD2serr96OXbsO1ncPsGjRQfqufmPdR021i+MPehURqxubNuYgXPKLKBSSSWDKVIU//nMvbN5epx8exPT8kJ7nfqYZKMN5zj7kGZhkfYzkGhWmPvxMMyqpD7VgwQJXFRbl9IolgZFIBHV1dejr60OHYLXsIBneeAhXfw+SIe1j7do70NV1iL57gAULFuq7gDL0URXN4tQj1iHm9HBiRhOWN0H73ZOzsXFbjX64n+n5AYPz3BMkY6zPc7APo4zJ1sdIrlFh6sMTJKOS+lDxeNwFAMdxYNu20dNuTU1NSKfT4gVGTTOUUohEIsjlcqKnDxEgQ9pHR8f9JReVjccT+i5gjPuIRlxceEo7ptTksHmTy4kZTWjJJFBbp3DXb6dgfYujH+4nPT880vPczzRjLM9zD/uQZ0y2PkZyjQpTH36mGZXUB98QMIEpBZz7jg5MreXEjCrDli1AV6eLc97RgeZE6f+VElGe4JpPEwgnZ0Jh/MFfcmIHEvVZtGzmxIwqR0sL0JN2seQdHZg+lRM0Ipp8ODkTCtvamu96WydmN/fxXZlUkTZvBpDNYclJu1AdC+H/jIiIxhAnZ0JheubshEO78OZ5GbRsdtHL20NRhdq8GaiK5HD2CaVf2EtEVEk4ORMKyzNnh+2fxqH7p7F5c34pHKJK5brAlhYXyelZnH7cLv0wEVHF4uRsAtl3Xk//IuZckokmg74+oKXFxYI9evD2xV36YSKiisTJ2QQxo7EPpx+3C62tXMScJpdMJv8mgcMPTOMtCzP6YSKiisPJmdB4vuasOubijLfvQkcH0NqqHyWqfLt2AVu3AO88shN7zuQLLYmoslko3FTNlFcjrZWO8wtTRonDw5JmePRx7zl2FyKWm38HG9EktWMnsHNn/nyYUmt275iRnoMSzJBjhpxpRhCmGdJxfsyQU0pBJZNJ1/vEtm3xHW+j0SgaGxuRyWREC4wiQAYKa0xBuEwCAmRI+9ixYxl6e4dfVDaZbNJ39Qvax5EH7sTBC7uwfj3Q06OPIpp8ZsxQ2L4rgl890jDq57mf6WMJRnCeSzPYhzwDk6yPkVyjwtSHn2lGJfWhUqlU/+RMKQVXuJint/p7JpNBq/B3baYZ3ngAyAnvsmqaIe2jtXUpenqG/8FPpWbou4AR9LFwzzROOXI7Nm7M/1qHiIBIBJg1S+G5V2vxl39MHdXz3M/0sSToeW6SwT7kGZOtj9bWe9HTc7i+e4ChrlFh6sPPNKOS+lCJRMJFYSboOI7R2k/JZBKZTEa8hpVphlIKjuPAdV3xjNM0Q9pHe/vykuuWJRIN+i4gYB+N04EPvns72ttcvs6MSFNbC8ycCSz/8xT8+7WofngQ6XnuZ/pYEuQ8N81gH/KMydbHSK5RYerDzzSjkvqwXN9MzvtYupnWmI4PUmM6Xlojodfo9fq+4bZ3HtmOdDffAEBUTGdn/tw45ahdmDYlO+j8KbbB8Bw0HR+kxnR8kBrT8UFqTMcHqTEdH6TGdHyQGtPx8hqUNLjGNCP4+CA1puOD1JiOD1JjOt51Xb5bU0rygz9ajj24G02JXmzdWsZQogmmtTV/I+ZTjuLv/ImosnByJhTgDReB7DWrF0cu6sa2rfkbcBLR0LZtdTG7qQ9HHdStHyIimrA4ORMqxzNntp2/j9POnUAHlxMkKqm3F9i6FXjbW7sxu4n/myGiysDJmVA5njk78bBORB0XwtcxEhGA9vb8dvKRXNOMiCoDJ2chMX9uD966MIPW1jI8RUdUYbZuBabV5XDswfz1JhFNfJychYBlAScd3oUdO4Auru1MZCybBVpbXRy5qBuz+OtNIprgODkTGsvXnL19cRdijoutW/UjRCTV0ZH/9eaJh/F/OEQ0sXFyJjRWrzmb3dyHQ/dPY/v2MZz9EU0S27YBTfH8OUVENFFZSilYltW/vIB0s6z8vE7fP9QWNEPfN9xmOt6rkfQhodf4M/R93nb8IV1ob+fyTESjoa8vf/+z4xZ3oX6KO+AcxDDnqL4Nd84OtZnWmI73atiHbDOtMR3v1YSnD9+JMITBNbszhjuub/J/U/Aa0/FeTaX0oZqbm10A/U1J14qKRqNoaGgwWsPKNMP7R7quK64xzZD2sX37vSXX1mxuTum7gGH6OOhNXXj7Ie1443Xe04xoNM2YqbBmcxV+89d6wOA89zN9LBnqPB+OaQb7kGdMtj5Gco0KUx9+phmV1IeVy+XgbSgsMeDfN9TmLTGAQqB0M8nI+XL0/cNtJhnSPiT0mmI53ucRJ4ujD+rA9lZOzIhG247tLt68VzfmNqcHnH8ocZ7qGwweS3JFznPJZpLBPuQZuUnWh+R10XqN/vcPN6bYhjHoQ99MMiqpDxWPx10AcBwHtm0bLczZ1NSEdDotXmDUNEMphUgkglwuJ15g1DRD2kdHx/0lF5WNxxP6LmCIPk44rAv775XB+nWl/41EZK6pCejqsfHj5fXi89zP9LGk2HleimkG+5BnTLY+2tvvR19fsGtUmPrwM82opD7yz7VRSYKvp1jj9CwO3S+Ntp2j+JcS0QCtrUBzQxaL3pTRDxERhRonZ0KSF1tKHX1QNzo6FJdoIhpDfX3A9u3AMW/ljWmJaGLh5ExotJ45m5vqxcJ5PdjJZ82Ixtz27UDMcXHofnw7NBFNHJycCY3WM2dHLUqjvR3o5n/micac6wI7d+YnZxEnqx8mIgolTs7KaN6sHuwxsxc7duhHiGis7NwJ5LLAvntwCQ4imhg4OSujw/bvRFsbkOHrk4nKqq3NxZv3aEEswmfPqDKN1m93KBw4ORMa6WvO9pyZwewmPmtGNB7a2oDeXoX99uIJSEThx8mZ0Ej/V7J43060twM9PfoRIiqHtp05HDCvFRFnhP/TIiIaYxYKN1Uz5dVIa6Xj/MKUMZJnzuak+jA31cNnzYjGUVsbkM0Bi99c+nUFpR4PipE+lnik4/yYITdZM4IwzZCO82OGnFIKKplMut4ntm2L73gbjUbR2NiITCaDbdu26YeLMs0AANu2AQDZrOy1IqYZ0j527lxWct2yZLJJ3wUAOP3YNsxIZLBpk36EiMpp+nSgps7C//6iQT80iOljCUL0eOVnmgH2Ic4IUx8juUaFqQ8/04xK6kOlUqn+yZlSCq5vbarhxGIxJBIJowVGTTO88TBYMNQ0Q9pHa+vSkj/4qdQMfRcS9X340Lu3Yv16oKtLP0pE5aQUMG8e8MjT9Xj+1Rr98ACmjyVherzyM81gH/KMMPUR9BqFkPXhZ5pRSX2oRCLhojATdBzHaO2nZDKJTCYjXsPKNEMpBcdx4LqueMZpmiHto719ecm1NROJwf8bP/GwTuy7RwYbNpT+txDR2GtsBHpyNn503zT90ACmjyVherzyM81gH/KMMPUR9BqFkPXhZ5pRSX1Yrm8m530s3UxrTMcHqTEdL68pfNWGodc4dg4HLUijo0NQTERlsXMn0JTIYo8Z+QfKoTYUOadLbaY1puOD1JiOD1JjOj5Ijen4IDWm44PUmI6X1kjoNXq9vm+4zXR8kBrT8UFqTMcHqTEd77ou360pFeA1fThwfga5HNDerh8hovHS2wu0d4ALohNRaHFyJiT8j8kAb1mYwS4ubk4UOh3twL7zejClVvaaESKicuLkTMj0mbM5qT40Ts+irU0/QkTjrbMT6E4rHLAPnz0jovDh5GyM7L93Bh0dCr29+hEiCoPOXS4OnM/JGRGFDydnY8CxXey/dwa7dgX4XSgRlUV7OzB9ag57zOD/oGjiC/LSGwovTs7GwL579cB1gQ6+3owotPr68ufom/fimmpEFC6cnI2B/fbqQWenvpeIwqazMz85M31NKRHRWOLkTEj6lPGUmhz2nNnLZ82IJoCODsC2XCzck8+eEVF4qFQq5SqlYFmW8R1sE4kEenp6RGtYBcmwLAu2bcMV3ok3SIa0D+nSGAct6MRRB3ZgzRuls4lo/DU3A5t3VOH+x6b37wvyWBKmxytPkAz2Ic8IUx+trfeip+dwffcApZZvCkMfniAZldSHWrRokQvfXyBdyNO2bVRXVyObzaK7u1s/XJRpBgpfCNd3l91STDOkfbz66u3YtetgffcAixYdhJMWv4IoOrF1q36UiMKorg5oTinc8+gByOZ2/37T9LEEIXq88jPNAPsQZ4SpD+k1qpgw9eFnmlFJfagFCxa4qrAop1csCYxEIqirq0NfXx86BL/DC5LhjYdw9fcgGdI+1q69A11dh+i7B3jLgfvggne8inXrAOHPBRGFwN57K/zpnzOweuMUIOBjSZgerzxBMtiHPCNMfUiuUQsWLNR3ASHrwxMko5L6UPF43AUAx3Fg27bR025NTU1Ip9PiBUZNM5RSiEQiyOVyoqcPESBD2kdHx/0lF5U9/vA6nHBoF97grzSJJpTmZmBNSwz3/6W2f5/pY0mYHq/8TDPYhzwjTH20t9+Pvr7hr1HxeELfBYSsDz/TjErqg28IGEX7zO1Bd3fpLzwRhUtXFzB/Lt8UQEThwMmZUKnJrqWymDerl7fQIJqAOjuBWNTF3BRvSEtE44+TM6FS90Gav+cfYFv5/4ET0cSSzQK7OoF5s2S/piAiGkucnAmVeuZs/txH0LFLIZfTjxDRRJBJA3vP4q82iWj8cXImVOqZswXzHkImXWIGR0Sh1dUFJBNZ1Fbzf1hENL44ORsFU2s3oSnxH/5Kk2gC6+4G+rLA3BR/tUlE44uTs1Ewb/Zj6OuLIJ3WjxDRRNLdBcxp5uSMiMYXJ2dCw73mbM9Zj6Oru8TvPYko9NJpYI8ZfMcmEY0vC4WbqpnyaqS10nF+YcoY7vDecx5FT4YvJCaa6NJpIDEti5oq/Uhp0scSj3ScHzPkJmtGEKYZ0nF+zJBTSkElk0nX+8S2bfEdb6PRKBobG5HJZEQLjCJABgprTEG4TAICZEj72LFjGXp7By98Hovuwtc+PYVLNhFViH32Ae59dBpWb4gZPZYgRI9XfqYZYB/ijDD1MdQ1yi+ZbNJ3ASHrw880o5L6UKlUqn9yppSCK1zM01v9PZPJoLW1VT9clGmGNx4AcsJ7VJhmSPtobV2Knp7BP/j7zP0jPn7O8XjlleF/9UlEE8PMmQrPvVaLJ1ZONXosCdPjlZ9pBvuQZ4Spj9bWe9HTc7i+e4BUaoa+CwhZH36mGZXUh0okEi4KM0HHcYzWfkomk8hkMuI1rEwzlFJwHAeu64pnnKYZ0j7a25cXXVvzuEOvx3GLv4QN6/m0GVElaGwEdnRF8KuHpxs9loTp8crPNIN9yDPC1MdQ1yi/RKJB3wWErA8/04xK6sNyfTM572PpZlpjOj5Ijel4ac1QZjc/g75eTsyIKkUmA6QS+Qdd/XGg1GZaYzo+SI3p+CA1puOD1JiOD1JjOj5Ijel4eQ1KGlxjmhF8fJAa0/FBakzHB6kxHe+6Lt+tKTXUD/7s5qeRyeh7iWiiymSA6ioXU2plv7IgIhptnJwJFXvDRTTSiXj9Wk7OiCpIJgPkXKBxuuxXFkREo42TM6Fiz5w1N7wAFB7MiahypLsVGqdxckZE44OTM6Fiz5w1NbyIdKaKi50TVZi+PhcNnJwR0Tjh5GwEmuL/QW9PkafUiGhC6+nhrzWJaPxwcjYCycS/kc3yd5pElaa3B5g2VXaDSSKi0cbJ2Qgk4y+jl8vwEVWcnl4gFnFRXcXXLBBR+XFyNgLTpq5DD5fUJKo43n+6ptXx2TMiKj9LKQXLsvqXF5BulpWf1+n7h9qCZuj7httMx3s1kj50U2pbEHEyEN4gmIgmkFwO6O1TqK/LDnosGGozffwxHe/VQPB45R+v7yu1mdaYjvdq2Idsk9cM+BEuanDN7ozhjuub/N8UvMZ0vFdTKX2o5uZmF0B/U9K1oqLRKBoaGozWsDLN8P6RruuKa0wzpH1s337vgLU1Zzf/HZ9+/2K8+mr+gZyIKsusWQrPvDwFT79Qox8qKkyPV36mGexDnhGmPvRrVDHNzSl9FxCyPvxMMyqpDyuXy8HbUFhiwL9vqM1bYgCFQOlmkpHz5ej7h9tMMqR96OqnrEdfX4QTM6IKlc0CU2qy4seSXIger/TNJCPHPsQ1Yeqj2L04dXqN/vcPN6bYhjHoQ99MMiqpDxWPx10AcBwHtm0bLczZ1NSEdDotXmDUNEMphUgkglwuJ15g1DRD2kdHx/0DFpU94qDv4Z1HfRbr13FdTaJK1JQEWtqqsPSRWtFjSZger/xMM9iHPCNMfejXqGLi8YS+CwhZH36mGZXUR/65NjI2pbYF2WzpLzIRTUx9WaCuhm8IIKLy4+QsoLqaLXBzvI8GUaXKZoEa3kqDiMYBJ2cB1dW0IJfj/6qJKlU2C1TFODkjovLj5CyguuqtfDMAUQXLZvM3oiUiKjdOzgKqrtqBLJ84I6pYuRygFBDlBI2IyoyTs4Bi0Q4+c0ZUwbzzm5MzIio3Ts4Cika6RPeVIaKJqX9y5vBEJ6Ly4uQsoIiT5jNnRBXM+8+X4+hHiIjGloXCTdVMeTXSWuk4vzBmeGyrl8+cEVUw7z9fji070U0fS6Tj/JghN1kzgjDNkI7zY4acUgoqmUy63ie2bYvveBuNRtHY2IhMJoNt27bph4syzQAA27YBAFnhq+9NM6R97Ny5bMC6Zd/8rIONG7Po6howjIgqhFLAPvsAP//NdKzfEtEPFxWWxys/0wywD3FGmPrYsWMZenuHX1szmWzSdwEh68PPNKOS+lCpVKp/cqaUgutbm2o4sVgMiUTCaIFR0wxvPAwWDDXNkPbR2rp0wOTshqssbFjvcnJGVMHmzwd+8XAD1m0uPTkL0+OVn2kG+5BnhKmP1tZ70dNzuL57gFRqhr4LCFkffqYZldSHSiQSLgozQcdxjNZ+SiaTyGQy4jWsTDOUUnAcB67rimecphnSPtrblw9Yt+zGqxTWrQO6ubQmUcWaPx/4+W/qsWZT6Reehenxys80g33IM8LUh36NKiaRaNB3ASHrw880o5L6sFzfTM77WLqZ1piOD1JjOl5aU0yAXyUT0QSjPxYMt431+CA1puOD1JiOD1JjOj5Ijen4IDWm4+U1KGlwjWlG8PFBakzHB6kxHR+kxnS867p8t2ZQOZdfOqJK5v3ny3X5vzAiKi/OMAJycw6fOSOaBLKyl5UQEY0aTs4C6stGODkjqmDe+c3JGRGVGydnAfVlY5ycEVUwq/Do2NfHE52IyouTs4B6e6v7H7yJqPJ4//nq5eSMiMqM04uAMr11nJwRVTDv/O7p5eSMiMqL04uAutPTODkjqmDe+Z3u4eSMiMqL04uAurobYPOrR1SxbJvPmhHR+FCpVMpVSsGyLOM72CYSCfT09IjWsAqSYVkWbNuGK7wTb5AMaR/68k1LTv4IFu7xY2zeXDqDiCae+nqgps7GD5Y1iR5LwvR45QmSwT7kGWHqYzSWbwpDH54gGZXUh1q0aJEL318gXcjTtm1UV1cjm82iW7iGkWkGCl8I13eX3VJMM6R9vPrq7di16+D+z0855gs45M3fxqZNmQHjiKgyxOOAFa3BQ0/O1w8NKSyPV36mGWAf4oww9aFfo4pZtOggfRcQsj78TDMqqQ+1YMECVxUW5fSKJYGRSAR1dXXo6+tDR0eHfniQIBneeAhXfw+SIe1j7do70NV1SP/nxxx8E0447L+wYb3sB4CIJpZkEujITMHvn54leiwJ0+OVJ0gG+5BnhKkP/RpVzIIFC/VdQMj68ATJqKQ+VDwedwHAcRzYtm30tFtTUxPS6bR4gVHTDKUUIpEIcrmc6OlDBMiQ9tHRcf+ARWUXLfgFznnn+/HG6z0DxhFRZWhOAas31eA3K6pFjyVherzyM81gH/KMMPXR3n4/+vqGX/g8Hk/ou4CQ9eFnmlFJffAl7QG17ZqFaKSHN6IlqlC2pbCry9Z3ExGNOU7OAtrZPhsA4Dj6ESKqBE4E6Ojk5IyIyo+Ts4B2tM+B61qIRPQjRDTRKQXEoi7aODkjonHAydkI7OyYwckZUQXyzuu2XZycEVH5cXI2Att27INoVN9LRBNdJAJks/y1JhGND07ORqCldT/YDp86I6o00SifNSOi8cPJ2QhsaX0THL4jgKjiRKPA1p08t4lofHByNgItrQtRU93N22kQVRjbAbbt4OSMiMaHhcJN1Ux5NdJa6Ti/MGb4bd62H1D4XzYRVY6qGLDN8Jkz08cS6Tg/ZshN1owgTDOk4/yYIaeUgkomk673iW3b4jveRqNRNDY2IpPJiBYYRYAMFNaYgnCZBATIkPaxc+eyAQufe/7fZY3Y1b4N7e36ESKaiCIRYM89gR/el0Dbrpj4sQQherzyM80A+xBnhKmPHTuWobd38DXKL5ls0ncBIevDzzSjkvpQqVSqf3KmlIIrXMzTW/09k8mgtbVVP1yUaYY3HgByuZx+uCjTDGkfra1Li07OPvbek5Cc9jC2btWPENFEVFcHJJMKN9+TMnosCdPjlZ9pBvuQZ4Spj9bWe9HTc7i+e4BUaoa+CwhZH36mGZXUh0okEi4KM0HHcYzWfkomk8hkMuI1rEwzlFJwHAeu64pnnKYZ0j7a25cPWFvTc/JR/43DDrgBmzam9UNENAElEkA66+DO38SNHkvC9HjlZ5rBPuQZYepjqGuUXyLRoO8CQtaHn2lGJfVhub6ZnPexdDOtMR0fpMZ0vLRmKOtbDkZNda++m4gmqGhUYf2W/OvN9MeBUptpjen4IDWm44PUmI4PUmM6PkiN6fggNabj5TUoaXCNaUbw8UFqTMcHqTEdH6TGdLzruny35kit3bQYtp1FLKYfIaKJqKraxaatZm8GICIaTZycjVD7rhnY2T4T1dX6ESKaaGIxIOIAGwrPnBERjQdOzkbBa+vejqoqfimJJrqqKqCjy8LODp7PRDR++Ag0ClavPwrRGG92RjTRVVcDazbxWTOaeALcTotCjJOzUbB6/TGoiqV5M1qiCS4WU1i7ievlEtH44uRsFGxpXYD2Xc183RnRBBaNArGYi7V85oyIxhknZ6Pk5dffyckZ0QRWUwO077LQ2pa/+zcR0Xjh5GyUvLLmBNTU6HuJaKKorgZeXcdfaRLR+LOUUrAsq395AelmWfl5nb5/qC1ohr5vuM10vFcj6aOU/7x+Ehwn/wBPRBNPbS3w+sZo/+OC/hhQajOtMR3v1UDweOUfr+8rtZnWmI73atiHbJPWSOg1/ozhjuub9N80khrT8V5NpfShmpubXQD9TUnXiopGo2hoaDBaw8o0w/tHuq4rrjHNkPaxffu9RdfW9LvyQ1FU2b0QrrdKRCFRWwvMnAncdFcTevvyFzrTx5IwPV75mWawD3lGmPqQXKOam1P6LiBkffiZZlRSH1Yul4O3obDEgH/fUJu3xAAKgdLNJCPny9H3D7eZZEj7kHhlbQzV1bL/wRBReNTWAq9viCLTM/BxAwaPJbkQPV7pm0lGjn2Ia8LUh4Reo//9w40ptmEM+tA3k4xK6kPF43EXABzHgW3bRgtzNjU1IZ1OixcYNc1QSiESiSCXy4kXGDXNkPbR0XF/yUVl37TXNHzsrDasWQNkMvpRIgqruXso/PGZGvzzpd3rsJk+loTp8crPNIN9yDPC1IfkGhWPJ/RdQMj68DPNqKQ+8s+10ajYusNG604btbX6ESIKq+pqIBZ18cpavhmAiMKBk7NR9uLqKKpr+KtNoomirg5Yt9lBRycfDokoHPhoNMr+80YUtTUuYrt/O0JEIVZTq/Diai7vQUThwcnZKGvZbmPLdht1dfoRIgqbmpr8rzRfep2TM5rYBC9logmEk7Mx8MKrMdTU8lebRGE3ZUr+xrOd3XwoJKLw4CPSGPj36iiqq1yuGEAUYkoBdVPy/5kiIgoTTs7GQPsuC6+ti2DKFP0IEYXF1KlAX5/Cv1/jrzSJKFw4ORsjK1+JYepUoHBjYCIKmdpahZWv8FkzIgofC4WbqpnyaqS10nF+YcyQenF1FN1phalT9SNENN5iMaCuzsXzrxR/1izI44HpY4l0nB8z5CZrRhCmGdJxfsyQU0pBJZNJ1/vEtm3xHW+j0SgaGxuRyWSwTbiYpGkGANi2DQDIZrP6oaJMM6R97Ny5rOS6Zclk04DPj3lLJw7cuwvr1/NtNERhkkwCnT0R3Pmb6fqhfqaPJQjR45WfaQbYhzgjTH3s2LEMvb1m1yhPmPrwM82opD5UKpXqn5wppeD61qYaTiwWQyKRMFpg1DTDGw+DBUNNM6R9tLYuLTk5S6VmDPh82pQsPnL6FqxfD3R1DThEROPEsoB584DfPTENL66u1g/3M30sCdPjlZ9pBvuQZ4Spj9bWe9HTc7i+ewD9GuUJUx9+phmV1IdKJBIuCjNBx3GM1n5KJpPIZDLiNaxMM5RScBwHruuKZ5ymGdI+2tuXl1y3LJFo0HfhzLd3YEaiB5s360eIaDxMnw7U1Fm4+a6hnzVDgMeSMD1e+ZlmsA95Rpj6CHqNQsj68DPNqKQ+LNc3k/M+lm6mNabjg9SYjpfWSOg1ruviHy/l3xgQLf7SFiIqs7opCn9/MTboXNU3DHFOD7eZ1piOD1JjOj5Ijen4IDWm44PUmI4PUmM6Xl6DkgbXmGYEHx+kxnR8kBrT8UFqTMe7rst3a0pJfvCLeWNjBBu3Opg2TT9CROU2ZQpQFXPxz5eq9ENERKHByVkZPP1CFaZNAwqvISSicTK1XuEfL1ahK23+DioionLh5EwowLth+724OoYd7TamD/8SFyIaQ7W1QG2Ni2de5L3NiCjcODkrk6f/XYf6abwpLdF4qZ+msGptPba38SlsIgo3ThXKZOUr1djVxWfPiMZDbS1QV+vi+dVx/RBRRRjJb3cofDg5K6MnV9Zg2nS+9oyo3OrrFV7bGMf2dv5Kk4jCj5MzoaDv1vT716pqtHVYfPaMqIzq6vJLNb34RlI/REQUSpycldnj/6pGPA44jn6EiMZCfb3Cv1bVYOcu3j6DiCYGlUqlXKUULMsyvoNtIpFAT0+PaA2rIBmWZcG2bbjCO/EGyZD2EWT5Jo/ex/tO2YYqpxctLfpIIhpNU6cCzc3ATx+chWh1U8nz3BPksUQ/z0sJkiF9vPIEyWAf8oww9TGSa1SY+vAEyaikPtSiRYtc+P4C6UKetm2juroa2WwW3d3d+uGiTDNQ+EK4vrvslmKaIe3j1Vdvx65dB+u7B1i06CB9Vz9/HzMb2/H2g1Zj7VogndZHEtFombuHhVXrG/H867NE57mf6WMJQvR45WeaAfYhzghTHyO5RoWpDz/TjErqQy1YsMBVhUU5vWJJYCQSQV1dHfr6+tDR0aEfHiRIhjcewtXfg2RI+1i79g50dR2i7x5gwYKF+i5giD5OOmQ94nWd2LSx9L+RiMzF40DtFBt3P7w3LDsqOs89QR5Lip3nwwmSIX288gTJYB/yjDD1MZJrVJj68ATJqKQ+VDwedwHAcRzYtm30tFtTUxPS6bR4gVHTDKUUIpEIcrmc6OlDBMiQ9tHRcX/JRWXj8YS+Cxiij6Z4Fh85sw2bNgGCnyEiMhCJAHvsAfz2r7V49uWY+Dz3M30sKXael2KawT7kGZOtj/b2+9HXF+waFaY+/EwzKqkPviFgnLRst/HkyipMm86b0xCNtkQC2LjVwbMv89YZNDnwPmeVhZOzcfSXf1Qj5+YvJEQ0Ompr828E+OMzNfohoooleEKGJhBOzoTG4ge/L6vw6NM1SCSAGP+DTzQqpscV/v5iFdZu4v1qaPLgM2eVhZOzcfb8KzG8sjaCeIJnFtFIJRIAFPCnZ6r1Q0QVbSyeQKDxw8mZ0Fj+r+TRp2pQV+ti2jT9CBFJVVXlJ2cPP1mDnt4xPGGJQmgsr1FUfpycCY3l/0pa22w8+nQNGhry7zIjInPxBPDS6iheeJWvEaDJZyyvUVR+nJwJjfX/Sp56vgrrNjtINOhHiKiUeByIRhUefpJvAqDJaayvUVRenJyFyO+fqMWUOvDXm0QGqquBhgbg93+rQUcXH9JocuIzZ5XFQuGmaqa8GmmtdJxfGDOCkGZs3WHjD0/UIJnkuzeJpBIJhZWvxLDylaFPGuk56JGO82OGHDPkpBklDg9LmuGRjvNjhpxSCiqZTLreJ7Zti+94G41G0djYiEwmI1pgFAEyUFhjCsJlEhAgQ9rHzp3LSi4qm0w26bv6mfRx+rFtmNXYgw0b+F8houEkk4AdsfDD+xLDvglAep77mT6WwPA8R4AM9iHPwCTrY8eOZejtDXaNClMffqYZldSHSqVS/ZMzpRRc4WKe3urvmUwGra2t+uGiTDO88QCQy+X0w0WZZkj7aG29Fz09h+u7B0ilZui7gAB9VFfl8KHTtiKTzmHrVv0oEQHAlClAKgXc+2gcr28c+lkzGJznfqaPJabnOQJksA95xmTrYyTXqDD14WeaUUl9qEQi4aIwE3Qcx2jtp2QyiUwmI17DyjRDKQXHceC6rnjGaZoh7aO9fXnJtTUTQ7yaP0gf8/fow9nHc+1NomKiUWD2bOBvK2uw4p+l72kmPc/9TB9LgpznphnsQ54x2foYyTUqTH34mWZUUh+W65vJeR9LN9Ma0/FBakzHS2sk9Bq9Xt833Pbauhj+9twUJJP5CxER7dbQqLB2cwwr/lk96NwZaoPhOWg6PkiN6fggNabjg9SYjg9SYzo+SI3p+CA1puPlNShpcI1pRvDxQWpMxwepMR0fpMZ0vOu6fLemlOQHf7T9bWUdVm+IojE59GtpiCabZBKAUvjt3/i2ZiKqTJycCQV4w8WoeOCxOvRlFZqKv46TaFKZNi2/PbhiKrrSfPgiosrER7eQS2cU7vtzHerr8zfaJJqsamryz5r9/m81WLOJv+snosrFydkEsL7FwQN/qUVDQ/4dakSTTTQKNDUBz/y7Cn9/sUo/TERUUTg5myBWvpJ/8XNzc36BZ6LJQimgMamwZnMEf3iCyzMRUeXj5ExoPN4QoHvsn9VY+UoMTU2KC6TTpNHcDHRlLCz7Y51+iIgKxut10TQ2ODmbYB58rBYbtzlINilY/O5RhWtqAuyIwtJH6oZdAYCIqJLw8i4Upv+VLH2kDp1pC03NIfpHEY2yhgZgylRg6SNTsL0tv1wKEdFkYCmlYFlW//IC0s0qPG2j7x9qC5qh7xtuMx3v1Uj6kNBr/Bn6vuG2UuN7+yz86uGpcKHQ3Kz/K4gmvng8v/360SlY3xIxOj+KbdLz3D9e31dqM60xHe/VsA/ZZlpjOt6rCUsfEnqNP2O44/om/TeNpMZ0vFdTKX2o5uZmF0B/U9K1oqLRKBoaGozWsDLN8P6RruuKa0wzpH1s335vyYXPm5tT+i5gDPtonN6Hc0/ajkw6h5YW/SjRxDRtWv6WGb95vB7/Xl18aSbJ+eEnPc/9TDPG6jz3Yx/yjMnWx0iuUWHqw880o5L6UMlksn9yZlkWstksXMGr32OxGBoaGtDT04OtwtW5TTNUYSV313XFq7+bZkj72LlzWckf/GSy+J1ix7KPmY29OOcdO9G5y4VwKTGi0Kqvz7/OLNd7HNy+/fTD/bz/YXpLnZTiOA5qamqQzWbR2dmpHy7KNMMbD4MHYdMM9iHPmGx9pNPnIpedPWDfn5+dij8/W9//+VDXKOl10E96jfKoMbwOeiqpDxWPx10Ufshs2zZamLOpqQnpdFq8wKhphlIKkUgEuVxOvMCoaYa0j46O+0suKhuPJ/RdQBn6mJvqw3knd6CjgxM0mri8idnRb/oU9p99ln54AO+XOMOfGbspAN4LR0udTx7/L4okFabjEaCGfeRJKkzHI0BNuPqIAm7+GRoAqKrrw3GXvXnA5Gyoa5T0Ouhnco0Cxv46iArrg5MzYR9hnpwBwD5zFc46fjs62jlBo4nHm5gdO/ezeEvzefphIjLVnObkTMA0o1x97J5m04S2dnMUf/znXqibwnU4aWKZNm33M2acmBER8VYaYoLJ7rjbvL0Ov3liDmLVfBcnTQzxeP7F/27v23FAiV9lEhFNFpycCQnfqTzuWrZX4+cPTYVyLKRSE+ffTZNPQ0N+e+AvdXCzQ7/4n4hosuHkrAJtbrXxswenIJO1kZqh4Dj6CKLx1dQETJsO/OrhOjz/akw/TEQ0qXFyVqF2tNv4vwemYnu7jRkzFGK8/lEIKAWkUkAkpnDnQ1Oxak1UH0JENOlxclbBujMKP3toKl7bEMGsWUAd142mcRSNAjNmKqT7bNzxwFSs28yndImIiuHkTGgivCFgKPf9qQ5Pv1CFGTOA6dP0o0Rjr6YGmDkT2NTq4Kf3T+VamUREw7BQuG+HKa9GWisd5xfGjCBMM6Tj/Epl/PGZGvz2r7VoTObfHUdULtOmAbNmAf9aVYVf/H4KenoH/owO9TNLROVR6vqhk47zY4acUgqWd3M0VVgiwrZtOI5TcrN8i3nqx4ptI8mwLGvQsWLbSDJK9WFZpb/Aeo2eMd59rHylFr/4wzREYxZmzFCIRPQOiEZXsvCfgYefmoI/PjN10M+k/2eXiMaWfu7p5+Bw1w//NpJr1HhfB/3bSDLGug/Ltm14m9eQf99QW/9fYFmDjg23TdSMgYtoFKfXmGbo21j0sa6lGj/7TQN27Ipg1iyF2lq9C6KR815fFolZ+NUjcTy3qm7Qz6L/Z1cpBd73hWhs6eee/xyUXD/0bSyuUfo2WTNUIpFwvW+a4zhGywskk0lkMhnxMgmmGV4zruuKl0kwzZD20d6+vOTyTYlEg74LCFkfficc2o1D9utCayvQ2qofJQpmypT8s2VvbIriwcdq0dk9/EtblVL43Pnn45OnnYVYB9+1QjQqiizfNNQ1Ksj1w/QaFdbroGlGufqwXNftH+x9LN1Ma0zHB6kxHS+tkdBr9Hp933Cb6fggNX/6ex0eWjENU+sVUvw1J42CZDJ/q4ynXpiCX/x+CnZ1qUE/d8U2Ihp7+nmnn4P6vuE20/FBakzHB6kxHR+kxnS867p8t+Zk99Ib1fjhsnq0ttuYMweYOlUfQVRadTUwa5aCHbHwq4en4W8r+QwYEVFQnJwRdrTb+PlvpuLxf1WjuRlobgZs3umAhOJxYPZs4NUNUdy2tB6rN/DGskREI8HJmdBk+M3L489W4/8emIp0n43ZsxWmTNFHEO1WVQXMmAlMrVd44C+1eOAvtchot8kgIiJznJzRAOtaHNz+63o882IVUqn8s2hcm5N0iQQwZw6wriWK7/+qHitf4fpgRESjhZMzocn2Lv8//70adzwwFbsyDubOzd9IlKi2Fpg1W6G6VmH5n2vx6z/WoaOLDyNERKOJj6o0pPUtDn6yfCr+9PcaJBry962qrtZH0WQQieSfRZ05E3jx9Rhu+cU0vPAqny0jIhoLnJwJTYbXnA3lqeer8L1fTsPrG6OYPRtoauKvOieTeBzYYw+gI+3gZw9Nxe//VjNoCSYiIho9nJyRSPsuCw88VodfPTId3b0O9twz/7qjyfbr3slk6lRgzlyFuqkOHl/ZjJ/ePxVrN3FWTkQ01lQqlXKVb50okzvYJhIJ9PT0YNu2bfrhQYJkeMsjuMI78QbJkPbR2roUPT1H6LsHSKVm6LuAkPXhCZLh72PfPdtxxAEdiEZc7NzhYudOfTRNVHV1QP00hdoaF8+8OA2vtcxDOt07pj9XVy5Zgk+ccgZi7VxPjGhUFFkhYKhrVLmvH5VyHRzLPtSiRYtc+P6CbDarjyvKtm1UV1cjm82iu7tbP1yUaQYKXwjXd5fdUkwzpH28+urt2LXrYH33AIsWHaTv6heWPvxMM1Ckj/32bMF+e7YglwV27syhrU2voImitjY/KaurdbFqXQNeeD2JdG91WX6uLjn1VHzg2HdwckY0WopMzoa6Ro3X9aMU04xK6kMtWLDAVYUV071iSWAkEkFdXR36+vrQ0dGhHx4kSIY3HoCoqSAZ0j7Wrr0DXV2H6LsHWLBgob4LCFkfniAZQ/URcXI4cO/tOGDvVvT2Am07XU7SJpCBk7J6rHw1jh0d+Rf7l+vn6rL3vAcXHX8KJ2dEo6XI5Gyoa1S5zvNi14+hBMmopD5UPB53AcAprJZu8rRbU1MT0um0eIFR0wylFCKRCHK5nOjpQwTIkPbR3n4/+vqGX/g8Hk/ou4CQ9eFnmlGqj6qYi0P3S+PQ/dPIZYH29vyvOwV/NY2DKVOAKVPzk7LnVsXw9AtV2LJ94NIQ5fq5+vwFF3Dhc6LRVGRyNtQ1qlzn+XDXj2JMMyqpD74hQIgvfC8tnVH4yz+q8e07p+FvK6tRU6cwbx7Q2Ji/FQONP8sCpk8HZs9RaG4GXn4jhlt/VY8HH6sdNDEjIqLxwckZjbrePoW/PVeFm34+HX94cgr6kH93Z3Mq/ys0Kr9YDEgmgXnzgNopFp75dzVu+vl0/P6JGmxv46SMiChMODkTEjwTSUWsfKUadzzYiLt/NxXrt0Yxc2b+WZt4nPdKG2tKAfX1wIwZCnPnArsyDn7716n43q+a8Pi/qtGV5tPBRERhxMkZlcXrGyJY9sc6fOfuaXjqhSrYUQvz5gGpVP5+Wvy18eipqcnfKHjeXsC06QovrYnhx/dNxR0PTMULr1Xpw4mIKGQ4ORPi5GF0dHRa+Ou/qvG9X07Dz38zBa9tjCHRoLDXXvnlger4evBAqqvzr+2bu4fCrFnA1vYIHvhLHW74v+n4wxM12LSNT1MSEU0UnJzRuHljYwQPrajFN++YjuV/rsOG1iiam4G991ZoTilMnQrYfDnUkGpr868jm7uHwuzZ+V9b/vnv1bjp59Pwi99Pwb9fi+olREQ0AXByRuPOdYEXV0fx60frcPM9zXj8+blo2TkV0+P5Z9RmzMwvFTXZF12PRoFp0/JvrNh77/wi5Du7ovjLP+rwnbum4f8enIq/v1iFzm6e1kREExkfxSlUslmFNS3T8OdnU7jh/6bjzoemYOWr1cjCxuzZ+ddRpVL520FU+mQtFsu/oL+5Of/s2B57AFU1Fl5dH8Ov/1iHb94Rx68eiePZ/1Sjo4unMhFRpbBQuKmaKa9GWisd5xemjJG8W1Oa4ZGO86vUjDWbIvjTM9W4fVk9bvr5NDzwlzqsWlcFK5KfrO2zDzBjpkJjY/6NBbH8je0nnEgk/3q7RAJIpRT2nAfMnQvUTLGwdmsUjz5dg+//qh7fvWcafvvXWvznjSj6svkJmfTrLB3np38/SpGO8wtSQ0Sjp5znubRWOs6vkjJUMpl0vU9s2xbf8TYajaKxsRGZTEa0wCgCZKCwxhSEyyQgQIa0jx07lqG3d/iFz5PJJn1Xv7D04WeagZD1UR3LYUZjH1KNvZjZ2IemeC+qq3LIuUA6rdDX66KnB+jtRf+fuZz+t5SPUvlJWCSS/xVlNArYjkJVzIXjAH19Clt3RLB+i4NN2xxs3BpB267hX3QXpu+HxzQDAK467zxcduqZXCGAaLQUWSFgqGtUuc7zSnm8KkcfKpVK9U/OlFJwhYt5equ/ZzIZtLa26oeLMs3wxgNATnhVNc2Q9tHauhQ9PcNPzlKpGfouIGR9+JlmTIQ+6qr70Di9Dw3TepGo70PD9D5Mn9KHaCSf3dun0NsDZLNANusW/ty95XK7N9fdPZnz/9O9/wgplb/jvvenZeXfwOBtjgNYtur/OBbN/yXZnEJbh41tbQ627XTQujOCrTsc7OiIGH2tJsL3Q5KhlMKVS5bg0lPO4OSMaLQUmZwNdY0q13leKY9X5ehDJRIJF4WZoOM4Rms/JZNJZDIZ8RpWphlKKTiOA9d1xTNO0wxpH+3ty9HbO/zamolEg74LCFkffqYZE7mPmqocpk3Job6usE0B6mr6UFedRU1VDtUxF7GoO+JbpvT0KqQzCt0ZG725anR02tjSmkH7Lgttuyzs7LDR3ln89WGSPvwm8vfDTymFz51/PtfWJBpNRSZnQ12jynWeV8rjVTn64MLnwj648Pnk6CMacfs3xwYc24VtAU7Ehm1Z6O3tRa7wjFpfVqEvC/T2qvykrGf3zG68+xiKaUa5+uDC50SjrMjkbKhrVLnO80p5vCpHH8X/C080SfX0KuzqsrC9zcaW7TY2bnWwrsXBus0RrGuJYu3mCNZtdrBhi4OWVhutO/PPhPknZkRERCPByZnQSH/dRURERCTByRkRERFRiHByJiT4NTERERHRiHFyRkRERBQinJwJ8TVnREREVA6cnBERERGFCCdnQnzNGREREZWDpZSCZVlQheUFpJtl7V50WbIFzdD3DbeZjvdqZH1oX7kiBtfsztD3DbeZjvdqhvs36FvQDH3fcJvpeK+Gfcg20xrT8V5NufogorGln3v+c3C44/o2kvNcupmO92oqpQ/V3NzsAuhvSrpWVDQaRUNDg9EaVqYZ3j/SdV1xjWmGtI/t2+8tubZmc3NK3wWErA8/0wz2Ic9gH/IMpRQ+e845XFuTaDQVWSFgqGtUuc7zSnm8KkcfVi6Xg7cB6A8stbm+BTz1Y8NtJhk5X46+f7jNJEPah4ReUyxH3z/chjHoQ99MMnLsQ1zDPuQZuUIOEY0t/bzzn3/lOs9NxucMMyqpD66tKeyDa2uyD5MM9iHPUFxbk2j0FXnmbKhrVLnO80p5vCpHH/nn2oiIiIgoFDg5E+LrlYmIiKgcODkjIiIiChFOzoQEvyYmIiIiGjFOzoiIiIhChJMzIb7mjIiIiMqBkzMiIiKiEOHkTIivOSMiIqJysFC4qZopr0ZaKx3nF8aMIEwzpOP8mCHHDLlyZhDR+CjneS6tlY7zq6QMlUwmXe8T27bFd7yNRqNobGxEJpPBtm3b9MNFmWYAgG3bAIBsNqsfKso0Q9rHzp3LSq6tmUw26bv6haUPP9MMsA9xBvuQZwDAVeedh8tOPZMrBBCNliIrBAx1jSrXeV4pj1fl6EOlUqn+yZlSCq5vbarhxGIxJBIJowVGTTO88TBYMNQ0Q9pHa+vSkpOzVGqGvgsIWR9+phnsQ57BPuQZSilcuWQJFz4nGk1FJmdDXaPKdZ5XyuNVOfpQiUTCRWEm6DiO0dpPyWQSmUxGvIaVaYZSCo7jwHVd8YzTNEPaR3v7cvT2Dr+2ZiLRoO8CQtaHn2kG+5BnsA95hlIKnzv/fK6tSTSaikzOhrpGles8r5THq3L0Ybm+mZz3sXQzrTEdH6TGdLy0RkKv0ev1fcNtpuOD1JiOD1JjOj5Ijen4IDWm44PUmI4PUmM6PkiN6XivhojGln7e6eegvm+4zXR8kBrT8UFqTMcHqTEd77ou361JREREFCacnBERERGFCCdnRERERCHCyRkRERFRiHByJsTXLBMREVE5cHJGREREFCKcnAkFWIGBiIiIyBgnZ0REREQholKplKuUgmVZxnewTSQS6OnpEa1hFSTDsizYtg1XeCfeIBnSPlpb70VPz+H67gGGWhojTH14gmSwD3kG+5BnWJaFK5cswSfeeTpXCCAaLUVWCBjqGlWu87xSHq/K0YdatGiRC99fIF3I07ZtVFdXI5vNoru7Wz9clGkGCl8I13eX3VJMM6R9vPrq7di162B99wCLFh2k7+oXlj78TDPAPsQZ7EOeAQAfP+00fPBtJyHWXqsfIqIgikzOhrpGles8r5THq3L0oRYsWOCqwqKcXrEkMBKJoK6uDn19fejo6NAPDxIkwxsP4ervQTKkfaxdewe6ug7Rdw+wYMFCfRcQsj48QTLYhzyDfcgzlFK47D3vwUXHn8LJGdFoKTI5G+oaVa7zvFIer8rRh4rH4y4AOI4D27aNnnZrampCOp0WLzBqmqGUQiQSQS6XEz19iAAZ0j46Ou4vufB5PJ7QdwEh68PPNIN9yDPYhzxDKYXPX3ABFz4nGk1FJmdDXaPKdZ5XyuNVOfrgGwKEBF9PIiIiohHj5IyIiIgoRDg5E+J9zoiIiKgcODkjIiIiChFOzoT4mjMiIiIqB07OiIiIiEKEkzMhvuaMiIiIyoGTMyIiIqIQsVC4qZopr0ZaKx3nF8aMIEwzpOP8mCHHDLlyZhDR+CjneS6tlY7zq6QMlUwmXe8T27bFd7yNRqNobGxEJpMRLTCKABkorDEF4TIJCJAh7WPnzmXo6TlC3z1AMtmk7+oXlj78TDPAPsQZ7EOeAQBXnXceLjv1TK4QQDRaiqwQMNQ1qlzneaU8XpWjD5VKpfonZ0opuMLFPL3V3zOZDFpbW/XDRZlmeOMBIJfL6YeLMs2Q9tHaurTk5CyVmqHvAkLWh59pBvuQZ7APeYZSClcuWYJLTzmDkzOi0VJkcjbUNapc53mlPF6Vow+VSCRcFGaCjuMYrf2UTCaRyWTEa1iZZiil4DgOXNcVzzhNM6R9tLcvL7m2ZiLRoO8CQtaHn2kG+5BnsA95hlIKnzv/fK6tSTSaikzOhrpGles8r5THq3L0Ybm+mZz3sXQzrTEdH6TGdLy8pvBVG8bgGtOM4OOD1JiOD1JjOj5Ijen4IDWm44PUmI4PUmM6PkiN6XivhojGln7e6eegvm+4zXR8kBrT8UFqTMcHqTEd77ou360pFeA1fURERETGODkjIiIiChFOzoiIiIhChJMzIiIiohDh5IyIiIgoRDg5IyIiIgoRTs6IiIiIQoSTMyIiIqIQsZRSsCyrf3kB6WZZ+Xmdvn+oLWiGvm+4zXS8VyPpQ0Kv8Wfo+4bbTMd7NcP9G/QtaIa+b7jNdLxXwz5km2mN6Xivplx9ENHY0s89/zk43HF9G8l5Lt1Mx3s1ldKHam5udgH0NyVdKyoajaKhocFoDSvTDO8f6bquuMY0Q9rH9u33llxbs7k5pe8CQtaHn2kG+5BnsA95hlIKnz3nHK6tSTSaiizfNNQ1qlzneaU8XpWjDyuXy8HbUFhiwL9vqM1bYgCFQOlmkpHz5ej7h9tMMqR9SOg1xXL0/cNtGIM+9M0kI8c+xDXsQ56RK+QQ0djSzzv/+Veu89xkfM4wo5L6UPF43AUAx3Fg27bRwpxNTU1Ip9PiBUZNM5RSiEQiyOVy4gVGTTOkfXR03F9y4fN4PKHvAkLWh59pBvuQZ7APeYZSCp+/4AIufE40moo8czbUNapc53mlPF6Vo4/8c21EREREFAqcnAkJJrtEREREI8bJmRDfTEZERETlwMkZERERUYhwckZEREQUIpycEREREYUIJ2dEREREIcLJGREREVGIWCjcVM2UVyOtlY7zC2NGEKYZ0nF+zJBjhlw5M4hofJTzPJfWSsf5VVKGSiaTrveJbdviO95Go1E0NjYik8lg27Zt+uGiTDMAwLZtAEA2m9UPFWWaIe1jx45l6O0dfm3NZLJJ39UvLH34mWaAfYgz2Ic8AwCuOu88XHbqmVwhgGi0FFkhYKhrVLnO80p5vCpHHyqVSvVPzpRScH1rUw0nFoshkUgYLTBqmuGNh8GCoaYZ0j5aW5eWXPg8lZqh7wJC1oefaQb7kGewD3mGUgpXLlnChc+JRlORydlQ16hyneeV8nhVjj5UIpFwUZgJOo5jtPZTMplEJpMRr2FlmqGUguM4cF1XPOM0zZD20d6+vOTamolEg74LCFkffqYZ7EOewT7kGUopfO7887m2JtFoKjI5G+oaVa7zvFIer8rRh+X6ZnLex9LNtMZ0fJAa0/HSGgm9Rq/X9w23mY4PUmM6PkiN6fggNabjg9SYjg9SYzo+SI3p+CA1puO9GiIaW/p5p5+D+r7hNtPxQWpMxwepMR0fpMZ0vOu6fLcmERERUZhwckZEREQUIpycEREREYUIJ2dEREREIcLJmRBfs0xERETlwMmZUICb/BIREREZ4+SMiIiIKEQ4OSMiIiIKEZVKpVylFCzLMr6DbSKRQE9Pj2gNqyAZlmXBtm24wjvxBsmQ9jGS5ZvC1IcnSAb7kGewD3mGZVm4cskSfOKdp3OFAKLRUmSFgKGuUeU6zyvl8aocfahFixa58P0F0oU8bdtGdXU1stksuru79cNFmWag8IVwfXfZLcU0Q9rHq6/ejl27DtZ3D7Bo0UH6rn5h6cPPNAPsQ5zBPuQZAPDx007DB992EmLttfohIgqiyORsqGtUuc7zSnm8KkcfasGCBa4qLMrpFUsCI5EI6urq0NfXh46ODv3wIEEyvPEQrv4eJEPax9q1d6Cr6xB99wALFizUdwEh68MTJIN9yDPYhzxDKYXL3vMeXHT8KZycEY2WIpOzoa5R5TrPK+Xxqhx9qHg87gKA4ziwbdvoabempiak02nxAqOmGUopRCIR5HI50dOHCJAh7aOj4/6SC5/H4wl9FxCyPvxMM9iHPIN9yDOUUvj8BRdw4XOi0VRkcjbUNapc53mlPF6Vow++IYCIiIgoRDg5IyIiIgoRTs6IiIiIQoSTMyIiIqIQ4eSMiIiIKEQ4OSMiIiIKEU7OhATvfiUiIiIaMU7OhJTS9xARERGNPguFm6qZ8mqktdJxfmHMCMI0QzrOjxlyzJArZwYRjY9ynufSWuk4v0rKUMlk0vU+sW1bfMfbaDSKxsZGZDIZ0QKjCJCBwhpTEC6TgAAZ0j527lxWcuHzZLJJ39UvLH34mWaAfYgz2Ic8AwCuOu88XHbqmVwhgGi0FFkhYKhrVLnO80p5vCpHHyqVSvVPzpRScIWLeXqrv2cyGbS2tuqHizLN8MYDQC6X0w8XZZoh7aO1dWnJyVkqNUPfBYSsDz/TDPYhz2Af8gylFK5csgSXnnIGJ2dEo6XI5Gyoa1S5zvNKebwqRx8qkUi4KMwEHccxWvspmUwik8mI17AyzVBKwXEcuK4rnnGaZkj7aG9fXnJtzUSiQd8FhKwPP9MM9iHPYB/yDKUUPnf++Vxbk2g0FZmcDXWNKtd5XimPV+Xow3J9MznvY+lmWmM6PkiN6XhpjYReo9fr+4bbTMcHqTEdH6TGdHyQGtPxQWpMxwepMR0fpMZ0fJAa0/FeDRGNLf28089Bfd9wm+n4IDWm44PUmI4PUmM63nVdvluTiIiIKEw4ORPif+6JiIioHDg5EwrwblgiIiIiY5ycEREREYUIJ2dEREREIcLJGREREVGIcHJGREREFCKcnBERERGFiKWUgmVZ/csLSDfLys/r9P1DbUEz9H3DbabjvRpJHxJ6jT9D3zfcZjreqxnu36BvQTP0fcNtpuO9GvYh20xrTMd7NeXqg4jGln7u+c/B4Y7r20jOc+lmOt6rqZQ+VHNzswugvynpWlHRaBQNDQ1Ga1iZZnj/SNd1xTWmGdI+tm+/t+Tams3NKX0XELI+/Ewz2Ic8g33IM5RS+Ow553BtTaLRVGT5pqGuUeU6zyvl8aocfVi5XA7ehsISA/59Q23eEgMoBEo3k4ycL0ffP9xmkiHtQ0KvKZaj7x9uwxj0oW8mGTn2Ia5hH/KMXCGHiMaWft75z79ynecm43OGGZXUh4rH4y4AOI4D27aNFuZsampCOp0WLzBqmqGUQiQSQS6XEy8wapoh7aOj4/6SC5/H4wl9FxCyPvxMM9iHPIN9yDOUUvj8BRdw4XOi0VTkmbOhrlHlOs8r5fGqHH3kn2sjIiIiolDg5IyIiIgoRDg5IyIiIgoRTs6IiIiIQoSTMyIiIqIQ4eSMiIiIKEQ4OSMiIiIKEU7OiIiIiELEQuGmaqa8GmmtdJxfGDOCMM2QjvNjhhwz5MqZQUTjo5znubRWOs6vkjJUMpl0vU9s2xbf8TYajaKxsRGZTAbbtm3TDxdlmgEAtm0DALLZrH6oKNMMaR87dy4rubZmMtmk7+oXlj78TDPAPsQZ7EOeAQBXnXceLjv1TK4QQDRaiqwQMNQ1qlzneaU8XpWjD5VKpfonZ0opuL61qYYTi8WQSCSMFhg1zfDGw2DBUNMMaR+trUtLTs5SqRn6LiBkffiZZrAPeQb7kGcopXDlkiVc+JxoNBWZnA11jSrXeV4pj1fl6EMlEgkXhZmg4zhGaz8lk0lkMhnxGlamGUopOI4D13XFM07TDGkf7e3LS66tmUg06LuAkPXhZ5rBPuQZ7EOeoZTC584/n2trEo2mIpOzoa5R5TrPK+Xxqhx9WK5vJud9LN1Ma0zHB6kxHS+tkdBr9Hp933Cb6fggNabjg9SYjg9SYzo+SI3p+CA1puOD1JiOD1JjOt6rIaKxpZ93+jmo7xtuMx0fpMZ0fJAa0/FBakzHu67Ld2sSERERhQknZ0REREQhwskZERERUYhwckZEREQUIpycEREREYUIJ2dEREREIcLJGREREVGIcHJGREREFCIqlUq5SilYlmV8B9tEIoGenh7RGlZBMizLgm3bcIV34g2SIe1jJMs3hakPT5AM9iHPYB/yDMuycOWSJfjEO0/nCgFEo6XICgFDXaPKdZ5XyuNVOfpQixYtcuH7C6QLedq2jerqamSzWXR3d+uHizLNQOEL4frusluKaYa0j1dfvR27dh2s7x5g0aKD9F39wtKHn2kG2Ic4g33IMwDg46edhg++7STE2mv1Q0QURJHJ2VDXqHKd55XyeFWOPtSCBQtcVViU0yuWBEYiEdTV1aGvrw8dHR364UGCZHjjIVz9PUiGtI+1a+9AV9ch+u4BFixYqO8CQtaHJ0gG+5BnsA95hlIKl73nPbjo+FM4OSMaLUUmZ0Ndo8p1nlfK41U5+lDxeNwFAMdxYNu20dNuTU1NSKfT4gVGTTOUUohEIsjlcqKnDxEgQ9pHR8f9JRc+j8cT+i4gZH34mWawD3kG+5BnKKXw+Qsu4MLnRKOpyORsqGtUuc7zSnm8KkcffEMAERERUYhwckZEREQUIpycEREREYUIJ2dEREREIcLJGREREVGIcHJGREREFCKcnBERERGFCCdnRERERCFioXBTNVNejbRWOs4vjBlBmGZIx/kxQ44ZcuXMIKLxUc7zXForHedXSRkqmUy63ie2bYvveBuNRtHY2IhMJiNaYBQBMlBYYwrCZRIQIEPax86dy0oufJ5MNum7+oWlDz/TDLAPcQb7kGcAwFXnnYfLTj2TKwQQjZYiKwQMdY0q13leKY9X5ehDpVKp/smZUgqucDFPb/X3TCaD1tZW/XBRphneeADI5XL64aJMM6R9tLYuLTk5S6Vm6LuAkPXhZ5rBPuQZ7EOeoZTClUuW4NJTzuDkjGi0FJmcDXWNKtd5XimPV+XoQyUSCReFmaDjOEZrPyWTSWQyGfEaVqYZSik4jgPXdcUzTtMMaR/t7ctLrq2ZSDTou4CQ9eFnmsE+5BnsQ56hlMLnzj+fa2sSjaYik7OhrlHlOs8r5fGqHH1Yrm8m530s3UxrTMcHqTEdL62R0Gv0en3fcJvp+CA1puOD1JiOD1JjOj5Ijen4IDWm44PUmI4PUmM63qshorGln3f6OajvG24zHR+kxnR8kBrT8UFqTMe7rst3axIRERGFCSdnRERERCHCyRkRERFRiHByRkRERBQinJwRERERhQgnZ0REREQhwskZERERUYhwckZEREQUIpZSCpZl9S8vIN0sKz+v0/cPtQXN0PcNt5mO92okfUjoNf4Mfd9wm+l4r2a4f4O+Bc3Q9w23mY73atiHbDOtMR3v1ZSrDyIaW/q55z8HhzuubyM5z6Wb6XivplL6UM3NzS6A/qaka0VFo1E0NDQYrWFlmuH9I13XFdeYZkj72L793pJrazY3p/RdQMj68DPNYB/yDPYhz1BK4bPnnMO1NYlGU5Hlm4a6RpXrPK+Ux6ty9GHlcjl4GwpLDPj3DbV5SwygECjdTDJyvhx9/3CbSYa0Dwm9pliOvn+4DWPQh76ZZOTYh7iGfcgzcoUcIhpb+nnnP//KdZ6bjM8ZZlRSHyoej7sA4DgObNs2WpizqakJ6XRavMCoaYZSCpFIBLlcTrzAqGmGtI+OjvtLLnwejyf0XUDI+vAzzWAf8gz2Ic9QSuHzF1zAhc+JRlORZ86GukaV6zyvlMercvSRf66NiIiIiEKBkzMiIiKiEOHkjIiIiChEODkjIiIiChFOzoiIiIhChJMzIiIiohDh5IyIiIgoRHifM2EfkvucOc5f9V0AAKXyvbhu/iZ0EqqwjIPr5iApsSwL0Wj+a9XT06sfLso0g33IM9iHPEMp4L8/qPD/vddCVUdUP0xEQfA+Z/rhokwzytWHisfjrlIKtm0bFVdVVSGZTCKTyaClpUU/PEiQDMuy4DgOXNdFb2/pC0OQDGkfkskZEQXzPx9eh8+fsxFVuyL6ISIKwmByJr0OeoJca8N0PfcEyShXH5Y3o/P+t2vbNhzHKblZvsU89WPFtpFkeF+MUttIMkr1obgwMxERTWD6dc30OuhtI7nWhuF67m0jyRjrPixvRuf9Bd5fVmrr/wssa9Cx4baJmkFERDSR6dc10+ugvo3FtVbfJmuGSiQSrvdNcxxH/LRbLBbrf/pQ+rtd0wyvGdd1xb/bNc2Q9tHevpy/1iQaI//z4XX40kXr9N1ENAL6rzUTiYYBxz3S66Cf6bU2TNdzP9OMcvXBNwQI++BrzojGzrEHteu7fFwAyvdnKUHHS5mOJxovrug1Z9LroJ/ptTZM13M/04xy9TFBJ2eX4r7V1+Lo3T9zRaXbtmDtM7/CjZ+/Bktf14/mSfvg5IyIiCYyTs4GM80oVx8VfZ+zqvok5p9wKW57/AncfLJ+lIiIiCh8Jv7kbPWDuPiSi/u3Sy67BJd+6lJ87fZ78fC/tiANAFXzceG378GFei0RERFRyEz8X2u+cicSh13ef0TPuPS+1bj26HoAbVhx9Tycfqvvrxn3PoZmmsE+5BnsQ57BPuQZ7EOewT7kGexDnlFJfUz8Z85KuOWup5H/FtWjaV/9KBEREfkdcP4XccdDT+Cl1RvQ2tq6e9uwAauf/R3u+MLZmKMX0aiq+MkZnmlDt76PiIiIBtrv47jn2Q3403evwGmHzUeyvmrg8aoq1M9ZjNM+exsef/ZeXHPiwMM0eip+cnb0FQdgLgBgDVbeqx8lIiIiHPM/ePDOy3HinPyELL32GSy96Sqce3wCiUQCiYNPxwe+fCeeWZsGAMRmHIWP/+AvuOkd2t9Do6JiJ2dzjzoNV9z6BO5YMh8A0LbiR/jan/VRREREk9wen8MdXz8de8UAoA0rf3wxjjjoZFz85R/h4X8Vxry+Ag/edDlOPugIXLV8DTIAENsHF379p+ATaKNPpVIpV/nWiTJ5wVoikUBPTw+2bdumHx4kSIa3PII76E68H8cvX74GR0317RpSBmv/eBM+cuHNeEE/NO59FBckg33IM9iHPIN9yDPYhzyDfcgzytHHlfe/jisPjgEA1i59Hw771KP6kAGUOh63/PVnOH0PAMjghR+8DSd9aa0+bIBy9FEp349YLAa1aNEiF76/IJvN6uOKsm0b1dXVyGaz6O6WvarLNAOFL4TrulpD78Ntj12BQ6b4dg2nawOe/tU3cPFNj+tHxrmPoZlmsA95BtiHOIN9yDPAPsQZ7EOegbHuY/b/4Nf3n449AaD1b/h/J1yK+/QxRaiP3YG/fGwB0LIazz30bXzye0/rQwYZ0z4q5ftR6EMtWLDAVYUV071iSWAkEkFdXR36+vrQ0dGhHx4kSIY3HoDW1Ifwk6euwmFTAax9GP/fLX8oFOzOySUPxNvechAOO3QhGmIAkMFrv/o4TrvmSd/fM959FBckg33IM9iHPIN9yDPYhzyDfcgzxrqPWV99EA+fuRcAoHXFf+Oojy3VhwximoEy9IEK+X6g0EfF3+cMi67A7379RSyuB9D5DL4652R8y/c3mfYxZ84c3H///QAA13Vxzz334LrrrtOHDTB0H0Mb1EcJpn0gQAb7kGewD3nGM888gzlzdr8xv6mpacDxYkwzytFHpXw/2Ic8I4x9mF6jvvj7Dbji4CoAHXjyhkNw6tfD0QcCZITx+4EAGbHJcJ8z/Otb+Oqf1+Q/rp2PYz6pDzAze/bs/s1/QSGiYBKJBBzH6d+IKDjTa9Tu22W0Y9vD2kEaN5U/OQOwojNT+KgeTfk3bxIREU1yl2Ju0vu4B+nhX9NPZTQpJmdH1+bfhQK0oWWVdpCIiGhSSgOy38xRmVX+5GzPS3Hlsfnb0KJvDVZ+Vx9AREQ0Gf0Ia7Z7H0dRVfq3oFQmE39yZk/D2UvO7t/OfO+ZOOPsM3DWkitw3Y9/h38+XnjjAIAtj/wI1+j1REREk9SqzW2Fj6aigXeTDY2JPzmbdxpuu/W2/u3W/70Vt3znFtz2vf/CR96zGHMLr3VMv3QnPnXBnXo1ERHRpHXLC4U3zGEK9n7radrR4VyCX/7rdby28m/43c+/iLP1wzQiE39yNpx0Gm1rn8GDN1yMI466HHwjChERkc/VK/BC4XVnDfu/Cxfqx4dyxWlYnIyhfsZ8LJ4/By36cRqRCTo5uwWnzyssxqptTU1NmDFjBhoaGpCYORPzDjoZH/j6Unj/NyAiIiLPNfj1U+35DxuOwRW3Sn63eSJuXXIw8m+1y2Dl77+GFfoQGhELhZuqmfJqpLXScX7MkGOGHDPkypFhKkhGOfpghhwz5MqRcdtVP8XKrvzHc5fcht995WwU3kZXxAG4cvltOHPPwqevP4ivXV366Y9y9FFJGSqZTLreJ7Zti+94G41G0djYiEwmI1pgFAEyUFhjCsJlEhAgw7SPI444AsuWLev//IYbbsA3v/nNAWOKCVsfCJAB9iHOYB/yjFWrVqG+vvCuHeEKAaYZ5egDFfL9APsQZ4SxjyDXqGg0ikVX3o2fXHJUYblDILPu73jo1/fi3od+jEeeA3DgCfjwqefjQx88FfO907X9Bfz40uPxhcIKiqWY9IEAX6swfj8QICMajUKlUqn+yZlSCq5wMU9v9fdMJoPW1lb9cFGmGd54AMjlcvrhokwzTPs44ogjsHTp7rXHbrzxRtx4440DxujC2AcCZLAPeQb7kGe89NJLAyZnM2bMGHC8GNOMcvRRKd8P9iHPCGMfQa5RXh8Nx1+JG754Hvabqo8YLLPuUdx88Qdw83Nj0wcCfK3C+P1AgIxYLAaVSCRcFGaCjuMYrf2UTCaRyWTEa1iZZiil4DgOXNcVzzhNM0z7OPLII7F8+fL+z6+//npcf/31A8bowtgHAmSwD3kG+5BnvPbaawMmZw0NDQOOF2OaUY4+KuX7wT7kGWHsI8g1amAfTbjw6itxwamHYP6MetT338QdQKYNW1avxB9+8S3cfOvfsHEM+0CAr1UYvx8IkBGLxWC5vpmc97F0M60xHR+kxnR8kBqdfrzYJh0XdHyQGtPxQWpMxwepMR0fpMZ0fJAa0/FBakzHB6kJMt5PP15sk44bSY3p+CA1puOD1JiOD1JjOj5Ijen4IDWm44PUmI4PUqPTjxfbdo9biZ99+QM4+bCFmDdnxsA33c2Yh4VHnY7Lv/sY1gr/3uIZss10fJAa0/FBakzHu647Ud+tSURERFSZODkjIiIiChFOzoiIiIhChJMzIiIiohDh5IyIiIgoRDg5IyIiIgoRTs6IiIiIQoSTMyIiIqIQsZRSsCyrf3kB6WZZ+Xmdvn+oLWiGvm+4zXS8V2Pah04fo2+m/y7T8V6N5N/iH6/vK7WZ1piO92rYh2wzrTEd79WMdR86/bi+BckoRx+mNabjvRr2IdtMa0zHezVh7EOnj9G3sPah7yu1VVIfqrm52QXQ35R0rahoNIqGhgajNaxMM7x/pOu64hrTDNM+jjjiCNx77739n99444244YYbBozRhbEPBMhgH/IM9iHPePnllwcs35RKpQYcL8Y0oxx9VMr3g33IM8LYR5BrVBj7QICMSurDyuVy8DYUlhjw7xtq85YYQCFQuplk5Hw5+v7hNpOMIH34mebo+4fbgvz9Jn3kDDNy7ENcwz7kGTr9+FCbSUY5+shVyPcjxz7ENWHtw09SF9Y+coYZldSHisfjLgA4jgPbto0W5mxqakI6nRYvMGqaoZRCJBJBLpcTLzBqmmHax5FHHon777+///Prr78e11133YAxujD2gQAZ7EOewT7kGatXrx7wzFkikRhwvBjTjHL0USnfD/YhzwhjH0GuUWHsAwEyKqkPTs4M+9B/8B9//HGsW7duwJhivKdBJf8mFHpXSiFX5JmFYizLQnV1NbLZLNLptH64KNMMsA9xBvuQZ5x33nkDPr/77rsHfF6MaUY5+kCFfD/APsQZYexj9uzZOOqoo/o/5+RseKYZ5eqDkzPDPvTJGRERUVhxcjY804xy9ZF/lRoRERERhQInZ0REREQhwl9rGvah/1rz7rvvxvXXXz9gjE4pBcdxkMvlkM1m9cNF2bYN27bR29sr6iPIW4hNM9iHPIN9yDP+/Oc/D3hDwEEHHTTgeDGmGeXoo1K+H+xDnhHGPmbPns03BFRAH5ycGfahT84kP/hh7AMBMtiHPIN9yDP4bk15BvuQZ0zWPoJco8LYBwJkVFIf/LUmERERUYhwckZEREQUIhYKT9OZ8mqktdJxfsyQY4YcM+TKkWEqSEY5+mCGHDPkmCFXSRkqmUy63ie2bYt/hxqNRtHY2IhMJoNt27bph4syzUDhxZMARC+ERIAM0z6OOOIILFu2rP/zG264Ad/85jcHjCkmbH0gQAbYhziDfcgzVq1aNeA1Z01NTQOOF2OaUY4+UCHfD7APcUYY+whyjQpjHwiQUUl9qFQq1T85U0rBFd6FOBaLIZFIGL1LxTTDGw+DBUNNM0z7OOKII7B06dL+z2+88UbceOONA8bowtgHAmSwD3kG+5BnvPTSSwMmZzNmzBhwvBjTjHL0USnfD/YhzwhjH0GuUWHsAwEyKqkPlUgkXBRmgo7jGL2bIJlMIpPJiN8VYZqhCm8hdl1XPOM0zTDt48gjj8Ty5cv7P7/++uvFt9IIUx8IkME+5BnsQ57x2muvDZicNTQ0DDhejGlGOfqolO8H+5BnhLGPINeoMPaBABmV1Ifl+mZy3sfSzbTGdHyQGtPxQWp0+vFim3Rc0PFBakzHB6kxHR+kxnR8kBrT8UFqTMcHqTEdH6QmyHg//XixTTpuJDWm44PUmI4PUmM6PkiN6fggNabjg9SYjg9SYzo+SI1OP15sk44LOj5Ijen4IDWm44PUmI53XZfv1iQiIiIKE07OiIiIiEKEkzMiIiKiEOHkjIiIiChEODkjIiIiChFOzoiIiIhChJMzIiIiohDh5IyIiIgoRFQqlXKVUrAsy/gOtolEAj09PaI1rIJkWJYF27bhCu/EGyTDtI8gS2OEsY8gGeZ9fBy/fOkaHDlVP+LTl0H71lfw+D234tpvLkNLqT4OPA+f+9T5OOPQ/dA0NYaYk9+d6WzH2ucewk++fCV++pxeNJBl/Q9+/8bFeHPXX3Htgvfi+4X9+334RlzzwVOxePZUxGKFnZl2bHn5UXznvz6Fn78o/1qF8/thnlGOPl5++WVMnbr7h6TU8k1BMsrRx7h+Pz72S7z8paMw3KmW/1l+HHffdi2uu2+tfrSf18eswz+Kyz55Do7ffw6SU70TAsi0b8Erf70bt375Oix7o0QfZ/8M//rO8Ui+ejcOO+ZK5FPnYMkXvoRLzjkSeySmIJZfphDItOOVv96Fm66+Fsve2P1XIODXaly/H0MIkmHaR5BrVBj7CJJRSX2oRYsWufD9BdKFPG3bRnV1NbLZLLq7u/XDRZlmoPCFcH132S3FNMO0j4MPPhi33357/+e33XYbvv997/I+tLD1gQAZMO7jffjBY1dg8RR9f3HbnvwWPnzZXdhRtI+ZOOfL38Wl79wTU/ofzDPIZAHYsd2TqWwHXv711/HZr/0WG3zVA3ziDjz50QPQ88y3cczH/g/ATLzzy9/F/5y2J/rnZF2ZgX9vphV/ve1DuOwn63x/0dDC+f0wzyhHH4899himTNn9Q3LQQQcNOF6MaUY5+sB4fj8uvA2PXXkIRKdadhue/u4HcfEdQ50hR+HK2z+P9x48s/986D/XYjHfZGoDHv/RZ/HJ218eso9Drn8Qt504E68vPw1nfmkDgAX4yA++i0sXF5boyvYgk3EHnmsdL+MXV5+Hbzzm/5vMv1YYz+/HMEwzYNhHkGtUGPtAgIxK6kMtWLDAVYVFOb1iSWAkEkFdXR36+vrQ0dGhHx4kSIY3HsLV34NkmPZx6KGH4qc//Wn/57fccgv+93//d8AYXRj7CJJh3seH8JOnrsKhU4COp67HIR/8iTZiIY658CRc8L4P4Zg5MQAZPHfLYlzyc72PWfjQT+/FVYfmnxdof+VBfP+rN+MnT63v72P2aVfh/33mXBzanP97Xvv1p3DaF7VH94JP3/MvXHwg8Nz334pzb84CH/gJnvr8YZgKoP25u3D9V76Me1/Ij5116lX45hc/hEXTAXQ9h9vOPA83rSn9tQrn98M8oxx9PPXUUwOeOVu4cOGA47ogGeXoY1y/H/0/w+148huH4kN35Hf3Z+z/Npzz9nPxwQ8cg1kxAF3/ws1vPa//WePdjsFXHvoOzpqXP4/WP3Uvvn/D7vMBABZe+E1885OnYa+pANCOp244Gx/+yYYifRyG7zzyE5w4cz0evuhEfOpvwGHXPojvv3cvxJDBxr/8AF/5zs/wpxfzfSy88Dv4zmdPzP/7NjyMi0/4FLwzOMjXaly/H0MIkmHaR5BrVBj7CJJRSX2oeDzuAoDjOLBt2+hpt6amJqTTafECo6YZSilEIhHkcjnR04cIkGHax5FHHon777+///Prr78e11133YAxujD2gQAZ5n1ciuWrr8VR9UDb49dg3ntu0QcUXIHfrf0iFtcC+Pf3cdCFtw3o4+hvP4F73j8fVUhj1S8vx7mXLMUaX/XuPo7B95++B2fPA5BehTsvOByX/9k3EABwKe5bfS2Orn0Bt848Hlf39eGLv9+AKw6uAjY+iHP3/wAe1ktOvgPP/vw0zAGw6q634vBPar9zKSKc3w/zjHL0sXr16gELnycSiQHHizHNKEcf4/r9uOQ+rP7K0ahHG1ZcPQ+n37r70ICMK3+LDV9YjCoAK29N4Lird48DgEvvXY1rj60H0IbHrzsL77n+2YEDPHteivsevRZH1wNoXYEv7Xs2fqD3sefNeOLvF2L+lodx8cJzsRRH445n78Npc4DMc9/HWR+8Da9pfcz9wu/wt88uRlWpPgRfq3H9fgzDNMO0jyDXqDD2gQAZldQH3xBAIfAtrHgpnf9w9n5434BjV+CLZ81HFQC8shRXaROzgR7Bxd9+GFsAoGo+TrrkQn0AsORovKkewBsr8WMAwIWYnwTSfUDba08PnpgBwO9+iOcLv81smnOqfpRo4rhhBZ7vzH84d79LBx479jZcdGx+ktz215tw1reeH3jc7/VbcPkvV+Y/ThyNs746Rx8BXHQA5gNo+88K5F8BdRqaEvnzfO1L1xZ92cGar3v/vno07asfJZo8ODmjUNjZncl/kM5gwMs4v/Ku/DNqSOOZ5Zdjhf9YMXfdgqdXA+nWNdjctvvZGM/RJ89HEsDal5YVXpx8Jz5w0EzMbEpg3ulDPbPXtPv1MEQT2k6kC//Zz3S2DDhy9kePwVwAwBr89TuDf+GpW/P5R/BMWxptG1ehLTt4cvbFxfMBpLHqKe+8+hxOnjMTiUQCb7tCG9zP99ozokmMkzMKgUtx4gH5idSWF36D3/qP7Je/XKBvFZ7+uu/AkFbgA4sTmDn/LTjuY/pkay7O3ncugDV44c7HtWPDOPldmJ/Mf9iy9iH9KNHEccmJyJ9qW/DcQ7vf0QfMxYneD/mWVXiw+Ms1NV/FyfNmYt7+h+Osa/Tz6VIs3qcK6HweK0Tnbd7cLxyC+Q4AtKHlRf0o0eTByRmNowNw4ke/iHue+a/8a1fSK/Hrq+8eMGJ+c+HZr+0tKPwSJbg9P4ED9jS5+ADAibj5SydgDgBkXsAj3x76l6pEoXXg8bjo6rvxz6uPRj2A9L9+hc/d5R9wGpq8l/pteQXL/IeCOL/w8oHVT+Or+rGh7Hkpbv5Q/vVw2PI0lvpeb0Y02XByRmVRf9S1aG1t1bY/4Z5vXIET51UBW57BLRcdh2uHeq19W0vhdSsjcNEhOMAB2latEF585uLS+27DhftUAcjglWXX4ZrX9TFEYVKPo78y8DxraWnBxt/+DNd9+kTMrQK2PHkLPnj8NUO+drNt52Z9l7GzTz0QSQCrnv+RfmgIJ+Lmu/8LRycAoA0rvvc53KkPIZpEODkztG7dOlx++eX4zGc+g09+8pO4++6Bz/RQQMnFuOjr9+GaE/UDo6f/NTBPfk8/VMRcXHrv73Dt0YUXSD/+dbzvikf1QTQKHnjgAdx111246667cOedvCSPteRhF+G6+67F2J1qR+Nd+yYBrMGqe4eaAvqdiJsf/2nhP0FprLrrYpz+XUkdFcNrVGXg5MzQ2rVrcc899+AXv/gF7r77bqxdO/Sdtmm3tsevQSKRGLQdd8HF+Or/PYMtaaBqztH4+Ld/iffN1qsBxOfiIn2fkcJrYPpW4Zlv6Md0J+La3/8J1x6bfw1O24qv4qyzbi28gYBG26c//WlceeWV+MxnPoPLL79cP0xG2rDi6oHnWFNTE2bMOAnnfuJruPPJLUijCnOPvhS33Xdp4Q0AA9Un5uu7zOx5NubPyb984IFBt7LRzDkfdzzzU1y4sDAx++XlOPeTRd8zTUK8RlUGTs5oXK383VJ86zMn4+RvrEAbAMSPwvuvfOfu4xva8h/U1xe9kIh5t9B46WkM+4uWPS/CHc/8FJceXA8gjS2/uwbHnf4tDHNTAaIJ4AU88stv4fJTT8bXVuTPqfqjL8N1S7zjt2DNxsKHiSac4e0OonALjS0rHxz+pQjHXIG77/lvnDavCkAbVt7+QRw+7K1yiCYPC4WbqpnyaqS10nF+zJALZ4a+Z2hrvvswVhbmYQ1zDunP+NETq5AGAGc+DvnCgBJgiH/L2T9/Ca2rX8ITD90M705n3i00Vj3/Pawdqo+Tr8OfHr1+wMVi4QW39I83Yf61ko3zY4YcMzxrcMvvV+b/I4Qk5h69+8jSFwvTouR8nHZMsdrBrv3zBmxc9U888rMv4KjCvvzLB9rwnz8P/SvquZ/4GR6+/n35lTfSW/Dwl47DcZ8f+hkzyb9FN/KvVWnMkGOGnFIKlnfnWlVYYsC2bTiOU3KzLKu/Rj9WbBtJhlVYNLTUNpIM9jF4jL6Z9+F/YrZUjYX+H2GV/+F0HAfOTXfh8fxdZbH4Pd/BsYMy9D4+ifcdngTqk5g/rxk9jgPHORYffctcAGvxyn35ZWYG9XHKd/DEjz+Sv81AZgseufYEnHj1n4bI0P/tg7dwfj+CZ7CPwWP0bVz7sHZfAJRVIsM3Fmr32Ce++Sie7wOAuTjqU5eU7uP47+DEhVWIJeZi/xkx/FUp2PbVOGZhFdD5Cv5xe5Eax8G8y5fj/s8fj4YYgI6X8OOP7o8Lb90waJx/K9pHiW1cvx9DbCPJYB+Dx+hbJfVh2bYNb/Ma8u8bauv/CwortEs3Zgw+PtQ28TOs/mfPVKmaS04o3H8JaF37d1/GL/CDh19BBgD2ORvfuOVs7KnX9vcxD5f++gocVQ8AGbxw39VYbtuw9zob82fnbxHwm8eL9LHXpbj35gswPwYg8wqWfebdeP/3NwyRMVZfq/zGjMHHh9qY4TtmofCfGwVYg+v8GZe+4wAU7iqIdU/4xq29Gsv+1g4AmHrkp/GrKw4Y9Pfs3k7CTV87u3BPsi149MdfyWdcshjzawG88XdcP6jGhn3yTbjrc0eh0QGw8xl896NLcPWjRcYNsY3K16rExozBx4famDH4+FCbaYZKJBIuCqugO45jtPZTMplEJpMRr2FlmuE147queA0r0wz2Ic8w7+MTuO81b23N/8Fexe7Av+gEXHTOpbjy/UcjGQPQ9wru++QS/Ndf/H0cjZtW3IMLF+ZvHd720r245Sv/i2/9Pv9KMNu2Me/sL+KLl30Apy3MX3YyL92Jc4/+dH5FgS//Cdsu2R9tj1+DvU7/3qA+PnHfa7j2qPr8i6m/9Hac8b+DX/Vi+rUK5/fDPIN9yDPGtY9LluG1LxfW1vzvvXCG7x5hXsabjnsfLvj4FbjwqCRiAPDKnTjj8MI50u8TuOfFa3FCEgAyWPP4nfj2Dd/DnY/vPif2/+hNuP6T78XiGfnzccsj12D/C26D4zh414+fxfffkcSqu96KIz6ln0dH46YnluHCffL/CbrvqiX4r4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problem","description":"find the nth term of the sequence:\r\n790\r\n1303\r\n2033\r\n____\r\n4366\r\n6095\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; 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: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 194.625px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 97.3125px; transform-origin: 407px 97.3125px; 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 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perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e____\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e4366\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e6095\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ol\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = sequence(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nfunctions={'polyfit','polyval'};\r\nassessFunctionAbsence(functions, 'FileName', 'sequence.m');\r\n\r\n%%\r\nx = 1;\r\ny_correct = 790;\r\nassert(isequal(sequence(x),y_correct))\r\n\r\n%%\r\nx = 2;\r\ny_correct = 1303;\r\nassert(isequal(sequence(x),y_correct))\r\n\r\n%%\r\nx = 6;\r\ny_correct = 6095;\r\nassert(isequal(sequence(x),y_correct))\r\n\r\n%%\r\nx = 7;\r\ny_correct = 8293;\r\nassert(isequal(sequence(x),y_correct))\r\n\r\n%%\r\nx = 10;\r\ny_correct = 18511;\r\nassert(isequal(sequence(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":2900827,"edited_by":2900827,"edited_at":"2023-02-20T05:07:22.000Z","deleted_by":null,"deleted_at":null,"solvers_count":10,"test_suite_updated_at":"2023-02-20T05:07:22.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2023-02-19T16:34:33.000Z","updated_at":"2026-06-03T23:09:03.000Z","published_at":"2023-02-19T16:35:26.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003efind the nth term of the sequence:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e790\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e1303\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc 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margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven the rectangle below you are requested to calculate its area(A) while the length of AE, BE and CE is given.\u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"279\" height=\"185\" style=\"vertical-align: baseline;width: 279px;height: 185px\" 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\" data-image-state=\"image-loaded\"\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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFurther explanation: The angle EDC(z) is also given.\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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTip: If you want, assume that D has the same coordinates as the coordinates of the original.\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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGOOD LUCK!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function A = find_rec_area(AE,DE,CE,z)\r\n  \r\nend","test_suite":"%%\r\nw_test = 10;\r\nh_test = 5;\r\nDE_val = 6;\r\nz_val = 45;\r\nxE_test = -DE_val * cosd(z_val);\r\nyE_test = -DE_val * sind(z_val);\r\nAE_val = sqrt(xE_test^2 + (h_test - yE_test)^2);\r\nCE_val = sqrt((w_test - xE_test)^2 + yE_test^2);\r\nexpected_A = w_test * h_test;\r\nuser_A = find_rec_area(AE_val, DE_val, CE_val, z_val);\r\nassert(abs(user_A - expected_A) \u003c 1e-4, 'Test 1 Failed: Incorrect area for fixed test case.');\r\nfor i = 1:5\r\n    w_rand = randi([10, 50]);\r\n    h_rand = randi([10, 50]);\r\n    DE_rand = randi([2, 8]);\r\n    z_rand = randi([15, 75]);\r\n    xE_rand = -DE_rand * cosd(z_rand);\r\n    yE_rand = -DE_rand * sind(z_rand);\r\n    AE_rand = sqrt(xE_rand^2 + (h_rand - yE_rand)^2);\r\n    CE_rand = sqrt((w_rand - xE_rand)^2 + yE_rand^2);\r\n    expected_area = w_rand * h_rand;\r\n    actual_area = find_rec_area(AE_rand, DE_rand, CE_rand, z_rand);\r\n    assert(abs(actual_area - expected_area) \u003c 1e-4, sprintf('Random Test %d Failed.', i));\r\nend\r\n%% \r\ncode = fileread('find_rec_area.m');\r\nhas_regexp = ~isempty(strfind(code, 'regexp')) || ~isempty(strfind(code, 'regexprep'));\r\nassert(~has_regexp, 'FORBIDDEN: You are not allowed to use regexp or regexprep in your code!');","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":5158730,"edited_by":5158730,"edited_at":"2026-08-24T11:37:28.000Z","deleted_by":null,"deleted_at":null,"solvers_count":3,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-24T09:42:53.000Z","updated_at":"2026-08-26T07:11:12.000Z","published_at":"2026-08-24T09:42:53.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven the rectangle below you are requested to calculate its area(A) while the length of AE, BE and CE is given.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"185\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"279\\\"/\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\u003eFurther explanation: The angle EDC(z) is also given.\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\u003eTip: If you want, assume that D has the same coordinates as the coordinates of the original.\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\u003eGOOD 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your geometry knowledge!(simple)","description":"We have the following shape and you need to:\r\n1) Find the area of the triangle ABE(A_tr). (Suppose that the angle E is 90 degrees.)\r\n2) Find the area of the semi-circle where DC is the diameter.(A_sc)\r\n3)Find the perimeter of the whole shape.(P_s)\r\n4)Find the perimeter of the semi circle if we separate it from the whole shape(P_sc).\r\n\r\nExplanation if you are confused: x is the length and y is the width of the rectangle ABCDA and they will be given.\r\nGOOD LUCK!!!!!!!!!!!!!!!!!!!!!!!!!!!!!","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 551.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 275.9px; transform-origin: 469px 275.9px; 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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWe have the following shape and you need to:\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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e1) Find the area of the triangle ABE(A_tr). (Suppose that the angle E is 90 degrees.)\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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e2) Find the area of the semi-circle where DC is the diameter.(A_sc)\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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e3)Find the perimeter of the whole shape.(P_s)\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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e4)Find the perimeter of the semi circle if we separate it from the whole shape(P_sc).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 341.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 170.9px; text-align: left; transform-origin: 445px 170.9px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cimg class=\"imageNode\" width=\"630\" height=\"336\" style=\"vertical-align: baseline;width: 630px;height: 336px\" 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data-image-state=\"image-loaded\"\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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003eExplanation if you are confused: x is the length and y is the width of the rectangle ABCDA and they will be given.\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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGOOD LUCK!!!!!!!!!!!!!!!!!!!!!!!!!!!!!\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [A_tr A_sc P_s P_sc] = AREAS_AND_PERIMETERS(x,y)\r\n    \r\nend","test_suite":"%%\r\n[a1, a2, p1, p2] = AREAS_AND_PERIMETERS(3, 4);\r\nassert(abs(a1 - 2.16) \u003c 1e-4);\r\nassert(abs(a2 - (9*pi/8)) \u003c 1e-4);\r\nassert(abs(p1 - (11 + 1.5*pi)) \u003c 1e-4);\r\nassert(abs(p2 - (3 + 1.5*pi)) \u003c 1e-4);\r\n\r\n%%\r\n[a1, a2, p1, p2] = AREAS_AND_PERIMETERS(6, 8);\r\nassert(abs(a1 - 8.64) \u003c 1e-4);\r\nassert(abs(a2 - (9*pi/2)) \u003c 1e-4);\r\nassert(abs(p1 - (22 + 3*pi)) \u003c 1e-4);\r\nassert(abs(p2 - (6 + 3*pi)) \u003c 1e-4);\r\n\r\n%%\r\n[a1, a2, p1, p2] = AREAS_AND_PERIMETERS(5, 12);\r\nassert(abs(a1 - (750/169)) \u003c 1e-4);\r\nassert(abs(a2 - (25*pi/8)) \u003c 1e-4);\r\nassert(abs(p1 - (29 + 2.5*pi)) \u003c 1e-4);\r\nassert(abs(p2 - (5 + 2.5*pi)) \u003c 1e-4);\r\n\r\n%%\r\n[a1, a2, p1, p2] = AREAS_AND_PERIMETERS(10, 10);\r\nassert(abs(a1 - 25) \u003c 1e-4);\r\nassert(abs(a2 - (25*pi/2)) \u003c 1e-4);\r\nassert(abs(p1 - (30 + 5*pi)) \u003c 1e-4);\r\nassert(abs(p2 - (10 + 5*pi)) \u003c 1e-4);\r\n\r\n%%\r\nfor i = 1:10\r\n    rx = rand() * 99 + 1;\r\n    ry = rand() * 99 + 1;\r\n    \r\n    [a1, a2, p1, p2] = AREAS_AND_PERIMETERS(rx, ry);\r\n    \r\n    exp1 = (rx^3 * ry) / (2 * (rx^2 + ry^2));\r\n    exp2 = (pi * rx^2) / 8;\r\n    exp3 = rx + 2*ry + (pi * rx)/2;\r\n    exp4 = rx + (pi * rx)/2;\r\n    \r\n    assert(abs(a1 - exp1) \u003c 1e-4);\r\n    assert(abs(a2 - exp2) \u003c 1e-4);\r\n    assert(abs(p1 - exp3) \u003c 1e-4);\r\n    assert(abs(p2 - exp4) \u003c 1e-4);\r\nend","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":5158730,"edited_by":5158730,"edited_at":"2026-08-23T12:02:47.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":"2026-08-23T11:59:11.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-23T10:40:32.000Z","updated_at":"2026-08-25T11:59:12.000Z","published_at":"2026-08-23T11:59:11.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWe have the following shape and you need to:\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\u003e1) Find the area of the triangle ABE(A_tr). (Suppose that the angle E is 90 degrees.)\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\u003e2) Find the area of the semi-circle where DC is the diameter.(A_sc)\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\u003e3)Find the perimeter of the whole shape.(P_s)\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\u003e4)Find the perimeter of the semi circle if we separate it from the whole shape(P_sc).\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=\\\"336\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"630\\\"/\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:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExplanation if you are confused: x is the length and y is the width of the rectangle ABCDA and they will be given.\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 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":58847,"title":"Possible American Football Scoring Combinations","description":"With inspiration from Problem 56195. Possible Ruby Scores, given the final score for two teams in an American football game (score1, score2), return two matrices (team1_combs, team2_combs) representing all possible combinations of scores by each team (Official NFL Scoring Plays). \r\nIn American football, the 7 possible ways of scoring are:\r\nTouchdown - 6 points\r\nTry after touchdown - 1 point\r\nTry after touchdown - 2 points\r\nSafety - 2 points\r\nField Goal - 3 points\r\nDefensive safety on try after touchdown (i.e. conversion safety) - 1 points\r\nDefensive \"touchdown\" on try after touchdown - 2 points\r\nValues for score1 and score2 include all natural numbers (realistically \u003c100), and the resulting matrices will have dimensions n1 x 7 and n2 x 7, where n1, n2 are the total number of possible scoring combinations for each team, respectively. The order of the elements in the rows for team1_combs and team2_combs should follow the above list.\r\n*** Attention - There is added complexity in the scoring possibilities in that the number of tries after touchdowns (also known as extra points or point after attempts) must be less than or equal to number of touchdowns. This constraint is further complicated by the possibility of defensive scores on tries after touchdowns, in which the possible number of scores is constrained by the touchdowns scored by the opposing team.\r\nExample\r\n[t1_combs, t2_combs] = amerfootballscores(5, 8)\r\n\r\nt1_combs =\r\n\r\n     0     0     0     0     1     0     1\r\n     0     0     0     1     1     0     0\r\n     0     0     0     2     0     1     0\r\n\r\n\r\nt2_combs =\r\n\r\n     0     0     0     1     2     0     0\r\n     0     0     0     4     0     0     0\r\n     1     0     0     1     0     0     0\r\n     1     0     1     0     0     0     0\r\nThis system is known as a linear Diophantine equation, an equation where only the integer--and in this case only nonnegative--solutions are of interest.\r\nEach team's score can be modeled by the following equation:\r\n6(tds) + 1(off. 1 pt. pats) + 2(off. 2 pt. pats) + 2(safs) + 3(fgs) + 1(def. 1 pt. pats) + 2(def. 2 pt. pats) = score\r\n    \u003e\u003e\u003e with the added constraints:\r\n                off. 1 pt. pats + off. 2 pt. pats \u003c= tds\r\n                def. 1pt. pats + def. 2pt. pats \u003c= tds for opponent","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; 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: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 970.625px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 485.312px; transform-origin: 407px 485.312px; vertical-align: baseline; \"\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-collapse: preserve; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eWith inspiration from \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/56195-possible-rugby-scores\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eProblem 56195. Possible Ruby Scores\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, given the final score for two teams in an American football game (score1, score2), return two matrices (team1_combs, team2_combs) representing all possible combinations of scores by each team (\u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://operations.nfl.com/the-rules/nfl-video-rulebook/scoring-plays/\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eOfficial NFL Scoring Plays\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e). \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-collapse: preserve; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eIn American football, the 7 possible ways of scoring are:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003col style=\"block-size: 143.062px; font-family: Helvetica, Arial, sans-serif; list-style-type: decimal; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 71.525px; transform-origin: 391px 71.5312px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eTouchdown - 6 points\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eTry after touchdown - 1 point\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eTry after touchdown - 2 points\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eSafety - 2 points\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eField Goal - 3 points\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eDefensive safety on try after touchdown (i.e. conversion safety) - 1 points\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eDefensive \"touchdown\" on try after touchdown - 2 points\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ol\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-collapse: preserve; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eValues for score1 and score2 include all natural numbers (realistically \u0026lt;100), and the resulting matrices will have dimensions n1 x 7 and n2 x 7, where n1, n2 are the total number of possible scoring combinations for each team, respectively. The order of the elements in the rows for team1_combs and team2_combs should follow the above list.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; 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 42px; text-align: left; transform-origin: 384px 42px; white-space-collapse: preserve; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e*** Attention - There is added complexity in the scoring possibilities in that the number of tries after touchdowns (also known as extra points or point after attempts) must be less than or equal to number of touchdowns. This constraint is further complicated by the possibility of defensive scores on tries after touchdowns, in which the possible number of scores is constrained by the touchdowns scored by the \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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; text-decoration: underline; text-decoration-line: underline; \"\u003eopposing team\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e.\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-collapse: preserve; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 306.562px; 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 153.275px; transform-origin: 404px 153.281px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; 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: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; 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 10.2125px; text-wrap: nowrap; transform-origin: 404px 10.2188px; \"\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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e[t1_combs, t2_combs] = amerfootballscores(5, 8)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; 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: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; 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 10.2125px; text-wrap: nowrap; transform-origin: 404px 10.2188px; \"\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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; 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: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; 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 10.2125px; text-wrap: nowrap; transform-origin: 404px 10.2188px; \"\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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003et1_combs =\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; 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: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; 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 10.2125px; text-wrap: nowrap; transform-origin: 404px 10.2188px; \"\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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; 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: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; 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 10.2125px; text-wrap: nowrap; transform-origin: 404px 10.2188px; \"\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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     0     0     0     0     1     0     1\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; 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: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; 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 10.2125px; text-wrap: nowrap; transform-origin: 404px 10.2188px; \"\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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     0     0     0     1     1     0     0\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; 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: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; 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 10.2125px; text-wrap: nowrap; transform-origin: 404px 10.2188px; \"\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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     0     0     0     2     0     1     0\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; 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: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; 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 10.2125px; text-wrap: nowrap; transform-origin: 404px 10.2188px; \"\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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; 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: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; 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 10.2125px; text-wrap: nowrap; transform-origin: 404px 10.2188px; \"\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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; 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: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; 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 10.2125px; text-wrap: nowrap; transform-origin: 404px 10.2188px; \"\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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003et2_combs =\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; 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: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; 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 10.2125px; text-wrap: nowrap; transform-origin: 404px 10.2188px; \"\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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; 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: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; 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 10.2125px; text-wrap: nowrap; transform-origin: 404px 10.2188px; \"\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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     0     0     0     1     2     0     0\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; 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: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; 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 10.2125px; text-wrap: nowrap; transform-origin: 404px 10.2188px; \"\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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     0     0     0     4     0     0     0\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; 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: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; 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 10.2125px; text-wrap: nowrap; transform-origin: 404px 10.2188px; \"\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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     1     0     0     1     0     0     0\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; 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: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; 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 10.2125px; text-wrap: nowrap; transform-origin: 404px 10.2188px; \"\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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     1     0     1     0     0     0     0\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-collapse: preserve; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThis system is known as a linear \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Diophantine_equation\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eDiophantine equation\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, an equation where only the integer--and in this case only nonnegative--solutions are of interest.\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-collapse: preserve; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eEach team's score can be modeled by the following equation:\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-collapse: preserve; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e6(tds) + 1(off. 1 pt. pats) + 2\u003c/span\u003e\u003cspan style=\"border-block-end-style: solid; border-block-end-width: 0.8px; border-bottom-style: solid; border-bottom-width: 0.8px; \"\u003e(\u003c/span\u003e\u003cspan style=\"\"\u003eoff. 2 pt. pats\u003c/span\u003e\u003cspan style=\"border-block-end-style: solid; border-block-end-width: 0.8px; border-bottom-style: solid; border-bottom-width: 0.8px; \"\u003e)\u003c/span\u003e\u003cspan style=\"\"\u003e + 2(safs) + 3(fgs) + 1(def. 1 pt. pats) + 2(def. 2 pt. pats) = score\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-collapse: preserve; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e    \u0026gt;\u0026gt;\u0026gt; with the added constraints:\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-collapse: preserve; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e                off. 1 pt. pats + off. 2 pt. pats \u0026lt;= tds\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-collapse: preserve; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e                def. 1pt. pats + def. 2pt. pats \u0026lt;= tds for opponent\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [t1_combs,t2_combs] = amerfootballscores(s1,s2)  \r\nt1_combs = [];  \r\nt2_combs = [];\r\n\r\nend","test_suite":"%%\r\ns1 = 5;\r\ns2 = 8;\r\nteam1 = [0     0     0     0     1     0     1;\r\n         0     0     0     1     1     0     0;\r\n         0     0     0     2     0     1     0];\r\nteam2 = [0     0     0     1     2     0     0;\r\n         0     0     0     4     0     0     0;\r\n         1     0     0     1     0     0     0;\r\n         1     0     1     0     0     0     0];\r\n[t1_combs,t2_combs] = amerfootballscores(s1,s2);\r\nassert(isequal([t1_combs;t2_combs],[team1;team2]))\r\n\r\n%%\r\ns1 = 0;\r\ns2 = 28;\r\nteam1 = [0     0     0     0     0     0     0];\r\nteam2 = [0     0     0     2     8     0     0;\r\n         0     0     0     5     6     0     0;\r\n         0     0     0     8     4     0     0;\r\n         0     0     0    11     2     0     0;\r\n         0     0     0    14     0     0     0;\r\n         1     0     0     2     6     0     0;\r\n         1     0     0     5     4     0     0;\r\n         1     0     0     8     2     0     0;\r\n         1     0     0    11     0     0     0;\r\n         1     0     1     1     6     0     0;\r\n         1     0     1     4     4     0     0;\r\n         1     0     1     7     2     0     0;\r\n         1     0     1    10     0     0     0;\r\n         1     1     0     0     7     0     0;\r\n         1     1     0     3     5     0     0;\r\n         1     1     0     6     3     0     0;\r\n         1     1     0     9     1     0     0;\r\n         2     0     0     2     4     0     0;\r\n         2     0     0     5     2     0     0;\r\n         2     0     0     8     0     0     0;\r\n         2     0     1     1     4     0     0;\r\n         2     0     1     4     2     0     0;\r\n         2     0     1     7     0     0     0;\r\n         2     0     2     0     4     0     0;\r\n         2     0     2     3     2     0     0;\r\n         2     0     2     6     0     0     0;\r\n         2     1     0     0     5     0     0;\r\n         2     1     0     3     3     0     0;\r\n         2     1     0     6     1     0     0;\r\n         2     1     1     2     3     0     0;\r\n         2     1     1     5     1     0     0;\r\n         2     2     0     1     4     0     0;\r\n         2     2     0     4     2     0     0;\r\n         2     2     0     7     0     0     0;\r\n         3     0     0     2     2     0     0;\r\n         3     0     0     5     0     0     0;\r\n         3     0     1     1     2     0     0;\r\n         3     0     1     4     0     0     0;\r\n         3     0     2     0     2     0     0;\r\n         3     0     2     3     0     0     0;\r\n         3     0     3     2     0     0     0;\r\n         3     1     0     0     3     0     0;\r\n         3     1     0     3     1     0     0;\r\n         3     1     1     2     1     0     0;\r\n         3     1     2     1     1     0     0;\r\n         3     2     0     1     2     0     0;\r\n         3     2     0     4     0     0     0;\r\n         3     2     1     0     2     0     0;\r\n         3     2     1     3     0     0     0;\r\n         3     3     0     2     1     0     0;\r\n         4     0     0     2     0     0     0;\r\n         4     0     1     1     0     0     0;\r\n         4     0     2     0     0     0     0;\r\n         4     1     0     0     1     0     0;\r\n         4     2     0     1     0     0     0;\r\n         4     2     1     0     0     0     0;\r\n         4     4     0     0     0     0     0];\r\n[t1_combs,t2_combs] = amerfootballscores(s1,s2);\r\nassert(isequal([t1_combs;t2_combs],[team1;team2]))\r\n\r\n%%\r\ns1 = 37;\r\ns2 = 49;\r\n[t1_combs,t2_combs] = amerfootballscores(s1,s2);\r\n% Matrices are rather large, so test case is dependent on the size of each output matrix, \r\n% where the number of rows will equate to the total number of scoring combinations\r\n[t1_rows,t1_cols] = size(t1_combs);\r\n[t2_rows,t2_cols] = size(t2_combs);\r\nassert(isequal([t1_rows,t2_rows],[2894,5625]))\r\n\r\n%%\r\ns1 = 37;\r\ns2 = 49;\r\n[t1_combs,t2_combs] = amerfootballscores(s1,s2);\r\n% Matrices are rather large, so test case is dependent on the sums of each column. These\r\n% values don't have any practical application.\r\nt1_sums = [6724, 2210, 1774, 10752, 6776, 7566, 5789];\r\nt2_sums = [19476, 6398, 5272, 28518, 18222, 11185, 9470];\r\nassert(isequal([t1_sums;t2_sums],[sum(t1_combs);sum(t2_combs)]))","published":true,"deleted":false,"likes_count":0,"comments_count":8,"created_by":3499438,"edited_by":3499438,"edited_at":"2023-08-17T23:02:26.000Z","deleted_by":null,"deleted_at":null,"solvers_count":6,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-08-09T17:04:20.000Z","updated_at":"2026-06-04T20:28:24.000Z","published_at":"2023-08-10T05:17:56.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWith inspiration from \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/56195-possible-rugby-scores\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProblem 56195. Possible Ruby Scores\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, given the final score for two teams in an American football game (score1, score2), return two matrices (team1_combs, team2_combs) representing all possible combinations of scores by each team (\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://operations.nfl.com/the-rules/nfl-video-rulebook/scoring-plays/\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eOfficial NFL Scoring Plays\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\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\u003eIn American football, the 7 possible ways of scoring are:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTouchdown - 6 points\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTry after touchdown - 1 point\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTry after touchdown - 2 points\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSafety - 2 points\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eField Goal - 3 points\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDefensive safety on try after touchdown (i.e. conversion safety) - 1 points\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDefensive \\\"touchdown\\\" on try after touchdown - 2 points\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\u003eValues for score1 and score2 include all natural numbers (realistically \u0026lt;100), and the resulting matrices will have dimensions n1 x 7 and n2 x 7, where n1, n2 are the total number of possible scoring combinations for each team, respectively. The order of the elements in the rows for team1_combs and team2_combs should follow the above list.\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:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e*** Attention - There is added complexity in the scoring possibilities in that the number of tries after touchdowns (also known as extra points or point after attempts) must be less than or equal to number of touchdowns. This constraint is further complicated by the possibility of defensive scores on tries after touchdowns, in which the possible number of scores is constrained by the touchdowns scored by the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eopposing team\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[[t1_combs, t2_combs] = amerfootballscores(5, 8)\\n\\nt1_combs =\\n\\n     0     0     0     0     1     0     1\\n     0     0     0     1     1     0     0\\n     0     0     0     2     0     1     0\\n\\n\\nt2_combs =\\n\\n     0     0     0     1     2     0     0\\n     0     0     0     4     0     0     0\\n     1     0     0     1     0     0     0\\n     1     0     1     0     0     0     0]]\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\u003eThis system is known as a linear \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Diophantine_equation\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eDiophantine equation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, an equation where only the integer--and in this case only nonnegative--solutions are of interest.\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\u003eEach team's score can be modeled by the following equation:\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\u003e6(tds) + 1(off. 1 pt. pats) + 2(off. 2 pt. pats) + 2(safs) + 3(fgs) + 1(def. 1 pt. pats) + 2(def. 2 pt. pats) = score\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e    \u0026gt;\u0026gt;\u0026gt; with the added constraints:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                off. 1 pt. pats + off. 2 pt. pats \u0026lt;= tds\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                def. 1pt. pats + def. 2pt. pats \u0026lt;= tds for opponent\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":47,"title":"Extract leading non-zero digit","description":"\u003chttp://en.wikipedia.org/wiki/Benford%27s_law Benford's Law\u003e states that the distribution of leading digits is not random.  This is probably because many things grow logarithmically.  Extract the leading digit from these vectors.\r\n\r\n* 10 --\u003e 1 \r\n* 13 --\u003e 1 \r\n* 0.3 --\u003e 3\r\n* -4 --\u003e 4 \r\n* -5 --\u003e 5 \r\n* -0.006 --\u003e 6\r\n\r\nInput will be a vector\r\n\r\n x = [1 0.3 -2 0.001 -0.0006, 582398, 3020];\r\n\r\nOutput should be\r\n\r\n y = [1 3 2 1 6 5 3];\r\n","description_html":"\u003cp\u003e\u003ca href=\"http://en.wikipedia.org/wiki/Benford%27s_law\"\u003eBenford's Law\u003c/a\u003e states that the distribution of leading digits is not random.  This is probably because many things grow logarithmically.  Extract the leading digit from these vectors.\u003c/p\u003e\u003cul\u003e\u003cli\u003e10 --\u003e 1\u003c/li\u003e\u003cli\u003e13 --\u003e 1\u003c/li\u003e\u003cli\u003e0.3 --\u003e 3\u003c/li\u003e\u003cli\u003e-4 --\u003e 4\u003c/li\u003e\u003cli\u003e-5 --\u003e 5\u003c/li\u003e\u003cli\u003e-0.006 --\u003e 6\u003c/li\u003e\u003c/ul\u003e\u003cp\u003eInput will be a vector\u003c/p\u003e\u003cpre\u003e x = [1 0.3 -2 0.001 -0.0006, 582398, 3020];\u003c/pre\u003e\u003cp\u003eOutput should be\u003c/p\u003e\u003cpre\u003e y = [1 3 2 1 6 5 3];\u003c/pre\u003e","function_template":"function y = leadingDigit(x)\r\n  y = x\r\nend","test_suite":"%%\r\nx = [100 23 -34 0.005 -0.466664 -0.555 1 134534];\r\ny_correct = [1 2 3 5 4 5 1 1];\r\nassert(isequal(leadingDigit(x),y_correct))\r\n\r\n%%\r\nx = [57 -0.2 8913 -63 0.838127];\r\ny_correct = [5 2 8 6 8];\r\nassert(isequal(leadingDigit(x),y_correct))\r\n\r\n%%\r\nx = [-0.4336    0.3426    3.5784    2.7694   -1.3499];\r\ny_correct = [4 3 3 2 1];\r\nassert(isequal(leadingDigit(x),y_correct))\r\n\r\n%%\r\nx = [0.3000 -0.1 -0.00000002 0.5 0.002];\r\ny_correct = [3 1 2 5 2];\r\nassert(isequal(leadingDigit(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":7,"comments_count":5,"created_by":1,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":2256,"test_suite_updated_at":"2012-05-29T14:34:23.000Z","rescore_all_solutions":false,"group_id":2,"created_at":"2012-01-18T01:00:23.000Z","updated_at":"2026-08-15T02:28:08.000Z","published_at":"2012-01-18T01:00:23.000Z","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:hyperlink w:docLocation=\\\"http://en.wikipedia.org/wiki/Benford%27s_law\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eBenford's Law\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e states that the distribution of leading digits is not random. This is probably because many things grow logarithmically. Extract the leading digit from these vectors.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e10 --\u0026gt; 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e13 --\u0026gt; 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e0.3 --\u0026gt; 3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e-4 --\u0026gt; 4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e-5 --\u0026gt; 5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e-0.006 --\u0026gt; 6\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\u003eInput will be a vector\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 0.3 -2 0.001 -0.0006, 582398, 3020];]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOutput should be\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[ y = [1 3 2 1 6 5 3];]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":331,"title":"Compute Area from Fixed Sum Cumulative Probability","description":"In Matlab the code\r\n v = rand(1,3);\r\n v = v/sum(v);\r\nis sometimes suggested as a convenient means of generating three random variables, whose ranges are restricted to [0,1], which have a fixed sum of one. However, this procedure has the property that the area-wise density distribution of the three values, considered as cartesian coordinates in 3D space, is widely variable throughout the planar region of possible locations of v. For any given density value in the range of this density distribution, let A be the corresponding area of the subregion of all points whose density is less than or equal to this given value, and let P be the corresponding probability that v would lie in this subregion. The task is to write a function 'fixedsumarea' which receives P as an input and gives A as an output:\r\n A = fixedsumarea(P);\r\nYou should assume that initially 'rand(1,3)' perfectly generates three independent random variables each uniformly distributed on [0,1], but subsequently each is modified by being divided by their mutual sum.","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: 311.3px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 155.65px; transform-origin: 407px 155.65px; 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: 58px 8px; transform-origin: 58px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn Matlab the code\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 40.8667px; 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 20.4333px; transform-origin: 404px 20.4333px; 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: 60px 8.5px; tab-size: 4; transform-origin: 60px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e v = rand(1,3);\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: 56px 8.5px; tab-size: 4; transform-origin: 56px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e v = v/sum(v);\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 147px; 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 73.5px; text-align: left; transform-origin: 384px 73.5px; 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: 371.5px 8px; transform-origin: 371.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eis sometimes suggested as a convenient means of generating three random variables, whose ranges are restricted to [0,1], which have a fixed sum of one. However, this procedure has the property that the area-wise density distribution of the three values, considered as cartesian coordinates in 3D space, is widely variable throughout the planar region of possible locations of v. For any given density value in the range of this density distribution, let A be the corresponding area of the subregion of all points whose density is less than or equal to this given value, and let P be the corresponding probability that v would lie in this subregion. The task is to write a function 'fixedsumarea' which receives P as an input and gives A as an output:\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: 84px 8.5px; tab-size: 4; transform-origin: 84px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e A = fixedsumarea(P);\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: 362.5px 8px; transform-origin: 362.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYou should assume that initially 'rand(1,3)' perfectly generates three independent random variables each uniformly distributed on [0,1], but subsequently each is modified by being divided by their mutual sum.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function A = fixedsumarea(P)\r\n  P = 1/2;\r\n  A = 0;\r\nend","test_suite":"%%\r\nfiletext = fileread('fixedsumarea.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || ...\r\n          contains(filetext, 'elseif') || contains(filetext, 'switch ');\r\nassert(~illegal)\r\n\r\n%%\r\nP = pi/4;\r\nA_correct = 0.7984235067141288;\r\nassert(abs(fixedsumarea(P)-A_correct)\u003c100*eps)\r\n%%\r\nP = 1/sqrt(11);\r\nA_correct = 0.4964013344766580;\r\nassert(abs(fixedsumarea(P)-A_correct)\u003c100*eps)\r\n%%\r\nP = exp(-3);\r\nA_correct = 0.1494793760894695;\r\nassert(abs(fixedsumarea(P)-A_correct)\u003c100*eps)\r\n%%\r\nP = (1/27)^(1/5);\r\nA_correct = 0.6605992894366502;\r\nassert(abs(fixedsumarea(P)-A_correct)\u003c100*eps)\r\n%%\r\nP = sin(sqrt(2));\r\nA_correct = 0.8634048022602919;\r\nassert(abs(fixedsumarea(P)-A_correct)\u003c100*eps)\r\n%%\r\nP = 68/137;\r\nA_correct = 0.6471420329484348;\r\nassert(abs(fixedsumarea(P)-A_correct)\u003c100*eps)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":7,"created_by":28,"edited_by":223089,"edited_at":"2023-02-21T09:48:12.000Z","deleted_by":null,"deleted_at":null,"solvers_count":8,"test_suite_updated_at":"2023-02-21T09:48:12.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2012-02-17T05:58:59.000Z","updated_at":"2026-08-06T09:03:06.000Z","published_at":"2012-02-17T18:47:40.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIn Matlab the code\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[ v = rand(1,3);\\n v = v/sum(v);]]\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\u003eis sometimes suggested as a convenient means of generating three random variables, whose ranges are restricted to [0,1], which have a fixed sum of one. However, this procedure has the property that the area-wise density distribution of the three values, considered as cartesian coordinates in 3D space, is widely variable throughout the planar region of possible locations of v. For any given density value in the range of this density distribution, let A be the corresponding area of the subregion of all points whose density is less than or equal to this given value, and let P be the corresponding probability that v would lie in this subregion. The task is to write a function 'fixedsumarea' which receives P as an input and gives A as an output:\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[ A = fixedsumarea(P);]]\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\u003eYou should assume that initially 'rand(1,3)' perfectly generates three independent random variables each uniformly distributed on [0,1], but subsequently each is modified by being divided by their mutual sum.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"errors":[],"facets":[[{"value":"Basic Geometry","count":3,"selected":false},{"value":"Cody Challenge","count":1,"selected":false},{"value":"Probability \u0026 Stats","count":1,"selected":false}],[{"value":"easy","count":10,"selected":false},{"value":"medium","count":6,"selected":false},{"value":"hard","count":1,"selected":false}]],"term":"tag:\"maths\"","page":1,"per_page":50,"sort":"map(difficulty_value,0,0,999) asc"}}