{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-04-06T14:01:22.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2026-04-06T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":45537,"title":"Get the area of ​​the square.","description":"Four circles are inscribed in the square ABCD. The perimeter of each circle is *aπ*.\r\n\r\n\u003c\u003chttp://imgfz.com/i/UzgCJut.png\u003e\u003e\r\n\r\nGiven *a*, obtain the area of ​​the square.\r\n","description_html":"\u003cp\u003eFour circles are inscribed in the square ABCD. The perimeter of each circle is \u003cb\u003eaπ\u003c/b\u003e.\u003c/p\u003e\u003cimg src = \"http://imgfz.com/i/UzgCJut.png\"\u003e\u003cp\u003eGiven \u003cb\u003ea\u003c/b\u003e, obtain the area of ​​the square.\u003c/p\u003e","function_template":"function y = squartArea(a)\r\n y = a;\r\nend","test_suite":"%%\r\na = 0;\r\ny = 0;\r\nassert(isequal(squartArea(a),y))\r\n%%\r\na = 8;\r\ny = 256;\r\nassert(isequal(squartArea(a),y))\r\n%%\r\na = 1;\r\ny = 4;\r\nassert(isequal(squartArea(a),y))\r\n%%\r\na = 10;\r\ny = 400;\r\nassert(isequal(squartArea(a),y))\r\n%%\r\na = 50;\r\ny = 10000;\r\nassert(isequal(squartArea(a),y))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":446926,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":95,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-05-18T03:09:51.000Z","updated_at":"2026-02-05T12:03:10.000Z","published_at":"2020-05-18T03:09:51.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/media/image1.JPEG\"}],\"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\u003eFour circles are inscribed in the square ABCD. The perimeter of each circle is\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\u003eaπ\u003c/w:t\u003e\u003c/w:r\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\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven\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\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, obtain the area of the square.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"},{\"partUri\":\"/media/image1.JPEG\",\"contentType\":\"image/JPEG\",\"content\":\"data:image/JPEG;base64,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\"}]}"},{"id":47828,"title":"Circle : Square","description":null,"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: 20.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 10.4px; transform-origin: 407px 10.4px; 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: 384px 10.4px; text-align: left; transform-origin: 384px 10.4px; 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=\"\"\u003eDetermine the ratio of the area of a circle to the area of a square, Given the side of the square = radius of the circle.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = area_ratio(x)\r\n y =\r\nend","test_suite":"%%\r\nx = 6.76;\r\ny_correct = pi;\r\nassert(isequal(area_ratio(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":564784,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":113,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-12-05T15:46:44.000Z","updated_at":"2026-02-14T16:21:13.000Z","published_at":"2020-12-05T15:46:44.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDetermine the ratio of the area of a circle to the area of a square, Given the side of the square = radius of the circle.\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":47450,"title":"Area of Ellipse","description":null,"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: 95.6667px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.5px 47.8333px; transform-origin: 406.5px 47.8333px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 20.6667px; 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: 383.5px 10.3333px; text-align: left; transform-origin: 383.5px 10.3333px; 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=\"\"\u003eCaculate the area of below ellipse.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 36.3333px; 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: 383.5px 18.1667px; text-align: left; transform-origin: 383.5px 18.1667px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-16px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"71.5\" height=\"36.5\" style=\"width: 71.5px; height: 36.5px;\"\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=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.6667px; 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: 383.5px 10.3333px; text-align: left; transform-origin: 383.5px 10.3333px; 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=\"\"\u003eSo, input x = [a b], numeric vector when a, b are not zero.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = your_fcn_name(x)\r\n y = x;\r\nend","test_suite":"%%\r\nx = [7 8];\r\ny_correct = 56*pi;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx = [999 888];\r\ny_correct = 999*888*pi;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx = [101 888];\r\ny_correct = 101*888*pi;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":71768,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":66,"test_suite_updated_at":"2020-11-11T08:48:39.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-11-11T08:46:14.000Z","updated_at":"2026-03-11T14:18:53.000Z","published_at":"2020-11-11T08:46:14.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCaculate the area of below ellipse.\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=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e$$\\\\frac{x^{2}}{a^2}+\\\\frac{y^{2}}{b^2}=1$$\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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\u003eSo, input x = [a b], numeric vector when a, b are not zero.\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":44505,"title":"Calculating Ring Area","description":"In two-dimensional space, a ring can be constructed by using two concentric circles. Determine the area of a ring which has r1 as the inner radius and r2 as the outer radius.","description_html":"\u003cp\u003eIn two-dimensional space, a ring can be constructed by using two concentric circles. Determine the area of a ring which has r1 as the inner radius and r2 as the outer radius.\u003c/p\u003e","function_template":"function area = RingArea(r1,r2)\r\n area = r1+r2;\r\nend","test_suite":"%%\r\nr1 = 4;\r\nr2 = 5;\r\ny_correct = 28.27433;\r\nassert(abs(RingArea(r1,r2)-y_correct)\u003c1e-5)\r\n%%\r\nr1 = 7.5;\r\nr2 = 8.25;\r\ny_correct = 37.11006;\r\nassert(abs(RingArea(r1,r2)-y_correct)\u003c1e-5)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":180632,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":107,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2018-01-24T18:16:13.000Z","updated_at":"2026-02-06T12:07:01.000Z","published_at":"2018-01-24T18:16:13.000Z","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 two-dimensional space, a ring can be constructed by using two concentric circles. Determine the area of a ring which has r1 as the inner radius and r2 as the outer radius.\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":44629,"title":"Find parts of a circle.","description":"Given radius (r) of a circle find the diameter (d), circumference (c), an area (a).","description_html":"\u003cp\u003eGiven radius (r) of a circle find the diameter (d), circumference (c), an area (a).\u003c/p\u003e","function_template":"function [d,c,a] = CIRCLE(r)\r\n d =;\r\n c =;\r\n a =;\r\nend\r\n","test_suite":"%%\r\nr = 7;\r\nd_correct = 14;\r\nc_correct = 43.9823;\r\na_correct = 153.9380;\r\nassert(isequal(CIRCLE(r),d_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":212188,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":79,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2018-05-02T13:14:59.000Z","updated_at":"2026-02-06T15:52:08.000Z","published_at":"2018-05-02T13:14:59.000Z","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 radius (r) of a circle find the diameter (d), circumference (c), an area (a).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":45195,"title":"Calculate the area of a circle","description":"Given a circle of diameter x calculate its area","description_html":"\u003cp\u003eGiven a circle of diameter x calculate its area\u003c/p\u003e","function_template":"function y = areaOfCircle(x)\r\n y = x;\r\nend","test_suite":"%%\r\nx = 1;\r\ny_correct = pi * 0.25;\r\nassert(isequal(areaOfCircle(x),y_correct))\r\n%%\r\nx = 15;\r\ny_correct = pi * 56.25;\r\nassert(isequal(areaOfCircle(x),y_correct))\r\n%%\r\nx = 20;\r\ny_correct = pi * 100;\r\nassert(isequal(areaOfCircle(x),y_correct))\r\n%%\r\nx = 100;\r\ny_correct = pi * 2500;\r\nassert(isequal(areaOfCircle(x),y_correct))","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":348097,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":144,"test_suite_updated_at":"2019-11-05T16:44:06.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2019-11-05T16:37:48.000Z","updated_at":"2026-02-12T19:03:56.000Z","published_at":"2019-11-05T16:44:06.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a circle of diameter x calculate its 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":1693,"title":"Calculate distance travelled when given radius and rotations","description":"When given radius of wheel and number of rotations calculate total distance travelled\r\nconsider pi=3.14","description_html":"\u003cp\u003eWhen given radius of wheel and number of rotations calculate total distance travelled\r\nconsider pi=3.14\u003c/p\u003e","function_template":"function y = calci_dist(r,n)\r\n y = 1;\r\nend","test_suite":"%%\r\nr = 1;\r\nn = 1;\r\ny_correct = 6.28;\r\nassert(isequal(calci_dist(r,n),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":14448,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":242,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2013-07-02T09:00:14.000Z","updated_at":"2026-03-09T20:57:39.000Z","published_at":"2013-07-02T09:02:09.000Z","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\u003eWhen given radius of wheel and number of rotations calculate total distance travelled consider pi=3.14\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":45333,"title":"Area-01","description":"Given the radius of the circle inscribed in a square, find the area that is not bounded by the circle but inside the square.\r\n\r\n","description_html":"\u003cp\u003eGiven the radius of the circle inscribed in a square, find the area that is not bounded by the circle but inside the square.\u003c/p\u003e","function_template":"function y = inscribed_circle(r)\r\n y = x;\r\nend","test_suite":"%%\r\nr = 1;\r\ny_correct = 0.8584;\r\nassert(abs(inscribed_circle(r)-y_correct)\u003c0.01)\r\n%%\r\nr = 5;\r\ny_correct = 21.4602;\r\nassert(abs(inscribed_circle(r)-y_correct)\u003c0.01)\r\n%%\r\nr = 0;\r\ny_correct = 0;\r\nassert(isequal(inscribed_circle(r),y_correct))\r\n%%\r\nr = 12.1;\r\ny_correct = 125.6794;\r\nassert(abs(inscribed_circle(r)-y_correct)\u003c0.01)\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":67,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-02-16T18:24:27.000Z","updated_at":"2026-02-09T14:23:49.000Z","published_at":"2020-02-16T18:24:41.000Z","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\",\"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 radius of the circle inscribed in a square, find the area that is not bounded by the circle but inside the square.\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":2154,"title":"Distances in a circle","description":"A circle (360°) is given and \r\na row of 6 monotonic increasing numbers with the which difference from last to first value is less than 360. \r\nFind the 6 distances between the numbers including the distance from last to first number.\r\n\r\nExample1:\r\n\r\n* Input: [30 90 120 150 210 270]\r\n* Result: [60 30 30 60 60 120]\r\n\r\nExample2:\r\n\r\n* Input: [140 220 260 320 380 440]\r\n* Result: [80 40 60 60 60 60]\r\n","description_html":"\u003cp\u003eA circle (360°) is given and \r\na row of 6 monotonic increasing numbers with the which difference from last to first value is less than 360. \r\nFind the 6 distances between the numbers including the distance from last to first number.\u003c/p\u003e\u003cp\u003eExample1:\u003c/p\u003e\u003cul\u003e\u003cli\u003eInput: [30 90 120 150 210 270]\u003c/li\u003e\u003cli\u003eResult: [60 30 30 60 60 120]\u003c/li\u003e\u003c/ul\u003e\u003cp\u003eExample2:\u003c/p\u003e\u003cul\u003e\u003cli\u003eInput: [140 220 260 320 380 440]\u003c/li\u003e\u003cli\u003eResult: [80 40 60 60 60 60]\u003c/li\u003e\u003c/ul\u003e","function_template":"function y = distance_circle(x)\r\n y = x;\r\nend","test_suite":"%%\r\nx = [30 90 120 150 210 270];\r\ny_correct = [60 30 30 60 60 120];\r\nassert(isequal(distance_circle(x),y_correct))\r\n%%\r\nx = [140 220 260 320 380 440];\r\ny_correct = [80 40 60 60 60 60];\r\nassert(isequal(distance_circle(x),y_correct))\r\n%%\r\nx = [0 90 120 180 240 300];\r\ny_correct = [90 30 60 60 60 60];\r\nassert(isequal(distance_circle(x),y_correct))\r\n%%\r\nx = [330 395 425 450 510 575];\r\ny_correct = [65 30 25 60 65 115];\r\nassert(isequal(distance_circle(x),y_correct))","published":true,"deleted":false,"likes_count":0,"comments_count":5,"created_by":22350,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":75,"test_suite_updated_at":"2014-02-06T08:09:17.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2014-02-05T21:22:28.000Z","updated_at":"2026-02-20T13:51:41.000Z","published_at":"2014-02-05T22:05:56.000Z","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 circle (360°) is given and a row of 6 monotonic increasing numbers with the which difference from last to first value is less than 360. Find the 6 distances between the numbers including the distance from last to first number.\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\u003eExample1:\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\u003eInput: [30 90 120 150 210 270]\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\u003eResult: [60 30 30 60 60 120]\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\u003eExample2:\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\u003eInput: [140 220 260 320 380 440]\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\u003eResult: [80 40 60 60 60 60]\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":44271,"title":"0\u003c=x\u003c=pi?","description":"Check whether the given angle is between zero and pi.\r\nReturn logical true or false.","description_html":"\u003cp\u003eCheck whether the given angle is between zero and pi.\r\nReturn logical true or false.\u003c/p\u003e","function_template":"function y = ang(x)\r\n y = (x==pi/2);\r\nend","test_suite":"%%\r\nx = rand*pi;\r\ny_correct = (200\u003e=100);\r\nassert(isequal(ang(x),y_correct))\r\n%%\r\nx = -rand*pi;\r\ny_correct = (100\u003e=200);\r\nassert(isequal(ang(x),y_correct))\r\n\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":166,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":140,"test_suite_updated_at":"2017-08-01T23:22:04.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2017-08-01T23:13:05.000Z","updated_at":"2026-02-16T12:15:51.000Z","published_at":"2017-08-01T23:13:38.000Z","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\u003eCheck whether the given angle is between zero and pi. Return logical true or false.\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":45178,"title":"An n-sided regular polygon is drawn within a circle whose radius is 'r', what will be the area of the polygon?","description":"area of a polygon is p*a/2. where, p is the perimeter and a is the apothem i.e. the normal distance from center to any of the sides of the polygon.","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: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; 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: 384px 21px; text-align: left; transform-origin: 384px 21px; 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: 376.5px 8px; transform-origin: 376.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003earea of a polygon is p*a/2. where, p is the perimeter and a is the apothem i.e. the normal distance from center to any of the sides of the polygon.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y=poly(n,r)\r\ny=n\r\nend","test_suite":"\r\n%%\r\nn = 6;\r\nr = 6;\r\ny_correct = 93.5307;\r\nassert(abs(poly(n,r) - y_correct) \u003c 1e-4);\r\n\r\n%%\r\nn = 8;\r\nr = 6;\r\ny_correct = 101.8234;\r\nassert(abs(poly(n,r) - y_correct) \u003c 1e-4);\r\n\r\n%%\r\nn = 11;\r\nr = 7;\r\ny_correct = 145.7027;\r\nassert(abs(poly(n,r) - y_correct) \u003c 1e-4);\r\n\r\n%%\r\nn = 13;\r\nr = 13;\r\ny_correct = 510.4984;\r\nassert(abs(poly(n,r) - y_correct) \u003c 1e-4);\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":4,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":39,"test_suite_updated_at":"2021-12-25T10:22:49.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2019-10-18T23:23:26.000Z","updated_at":"2026-02-18T09:44:32.000Z","published_at":"2019-10-18T23:55:49.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003earea of a polygon is p*a/2. where, p is the perimeter and a is the apothem i.e. the normal distance from center to any of the sides of the polygon.\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":43190,"title":"Determine point is located in a circle or not","description":"Using input [x] and [y], determine the points (x,y) is located inside of circle (x^2+y^2=1)\r\nif point is located in circle, output is true.","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: 51px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 25.5px; transform-origin: 407px 25.5px; 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: 269px 8px; transform-origin: 269px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eUsing input [x] and [y], determine the points (x,y) is located inside of circle (x^2+y^2=1)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 126.5px 8px; transform-origin: 126.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eif point is located in circle, output is true.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function z = inorout(x,y)\r\n z=true\r\nend","test_suite":"%%\r\nx = 1;\r\ny = 2;\r\ny_correct = 0;\r\nassert(isequal(inorout(x,y),y_correct))\r\n\r\n%%\r\nx = 1;\r\ny = 0;\r\ny_correct = 0;\r\nassert(isequal(inorout(x,y),y_correct))\r\n\r\n%%\r\nx = 0.5;\r\ny = 0.5;\r\ny_correct = 1;\r\nassert(isequal(inorout(x,y),y_correct))\r\n\r\n%%\r\nx = -1;\r\ny = -1;\r\ny_correct = 0;\r\nassert(isequal(inorout(x,y),y_correct))\r\n\r\n%%\r\nx = 0;\r\ny = 0;\r\ny_correct = 1;\r\nassert(isequal(inorout(x,y),y_correct))\r\n\r\n%%\r\nx = 2;\r\ny = 3;\r\ny_correct = 0;\r\nassert(isequal(inorout(x,y),y_correct))","published":true,"deleted":false,"likes_count":4,"comments_count":0,"created_by":33533,"edited_by":223089,"edited_at":"2022-09-09T07:58:41.000Z","deleted_by":null,"deleted_at":null,"solvers_count":57,"test_suite_updated_at":"2022-09-09T07:58:41.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2016-10-08T06:42:36.000Z","updated_at":"2026-02-18T10:12:49.000Z","published_at":"2016-10-08T06:42:36.000Z","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\u003eUsing input [x] and [y], determine the points (x,y) is located inside of circle (x^2+y^2=1)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eif point is located in circle, output is true.\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":45538,"title":"Find the area of ​​the square","description":"There are *n²* circles inscribed in the square ABCD. The perimeter of each circle is *aπ*\r\n\r\n\u003c\u003chttp://imgfz.com/i/3wzCeAT.png\u003e\u003e\r\n\r\nGiven *n* and *a*, find the area of ​​the square.","description_html":"\u003cp\u003eThere are \u003cb\u003en²\u003c/b\u003e circles inscribed in the square ABCD. The perimeter of each circle is \u003cb\u003eaπ\u003c/b\u003e\u003c/p\u003e\u003cimg src = \"http://imgfz.com/i/3wzCeAT.png\"\u003e\u003cp\u003eGiven \u003cb\u003en\u003c/b\u003e and \u003cb\u003ea\u003c/b\u003e, find the area of ​​the square.\u003c/p\u003e","function_template":"function y = squartArea(n,a)\r\n y = n+a;\r\nend","test_suite":"%%\r\na = 8;\r\nn = 5;\r\ny = 1600;\r\nassert(isequal(squartArea(n,a),y))\r\n%%\r\na = 0;\r\nn = 10;\r\ny = 0;\r\nassert(isequal(squartArea(n,a),y))\r\n%%\r\na = 100/pi;\r\nn = 6;\r\ny = 36476;\r\ntolerance = 1e-12; \r\nassert(abs(36476-y)\u003ctolerance)\r\n%%\r\na = 15;\r\nn = 0;\r\ny = 0;\r\nassert(isequal(squartArea(n,a),y))\r\n%%\r\na = 10;\r\nn = 2;\r\ny = 400;\r\nassert(isequal(squartArea(n,a),y))","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":446926,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":60,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-05-18T03:38:49.000Z","updated_at":"2026-03-05T11:06:44.000Z","published_at":"2020-05-18T03:38:49.000Z","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\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/media/image1.png\"}],\"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\u003eThere are\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\u003en²\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e circles inscribed in the square ABCD. The perimeter of each circle is\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\u003eaπ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven\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\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and\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\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, find the area of the square.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\"}]}"},{"id":59856,"title":"Calculate the Area of the Ring","description":"\r\nYou have Ring which consist of inner and outer Circles with Radius r and R which are not given but you'll be given Hprizontal distance d which is Tangent to inner circle .\r\nCalculate the Area of the Ring","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: 312.033px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.5px 156.017px; transform-origin: 406.5px 156.017px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 231.033px; 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: 383.5px 115.517px; text-align: left; transform-origin: 383.5px 115.517px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"225\" height=\"225\" style=\"vertical-align: baseline;width: 225px;height: 225px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\"\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: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.5px 21px; text-align: left; transform-origin: 383.5px 21px; 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: 192.067px 7.81667px; transform-origin: 192.067px 7.81667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYou have Ring which consist of inner and outer Circles with \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 126.742px 7.81667px; transform-origin: 126.742px 7.81667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eRadius r and R which are not given \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: 59.1833px 7.81667px; transform-origin: 59.1833px 7.81667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ebut you'll be given Hprizontal distance d which is Tangent to inner circle .\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: 383.5px 10.5px; text-align: left; transform-origin: 383.5px 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: 96.5917px 7.81667px; transform-origin: 96.5917px 7.81667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCalculate the Area of the Ring\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function area = your_fcn_name(d)\r\n area = d;\r\nend","test_suite":"%%\r\nd = 3;\r\narea_correct = 28.2743;\r\ntolerance = 1e-4;\r\nassert(abs(your_fcn_name(d)-area_correct)\u003ctolerance)\r\n%%\r\nd = 5;\r\narea_correct = 78.5398;\r\ntolerance = 1e-4;\r\nassert(abs(your_fcn_name(d)-area_correct)\u003ctolerance)\r\n%%\r\nd = 8;\r\narea_correct = 201.0619;\r\ntolerance = 1e-4;\r\nassert(abs(your_fcn_name(d)-area_correct)\u003ctolerance)\r\n%%\r\nd = 15;\r\narea_correct = 706.8583;\r\ntolerance = 1e-4;\r\nassert(abs(your_fcn_name(d)-area_correct)\u003ctolerance)\r\n%%\r\nd = 17;\r\narea_correct = 907.9203;\r\ntolerance = 1e-4;\r\nassert(abs(your_fcn_name(d)-area_correct)\u003ctolerance)","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":4033021,"edited_by":223089,"edited_at":"2024-06-12T15:22:45.000Z","deleted_by":null,"deleted_at":null,"solvers_count":21,"test_suite_updated_at":"2024-06-12T15:22:45.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2024-04-07T14:03:59.000Z","updated_at":"2026-03-05T11:47:22.000Z","published_at":"2024-04-07T14:20:37.000Z","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:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"225\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"225\\\"/\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\u003eYou have Ring which consist of inner and outer Circles with \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eRadius r and R which are not given \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ebut you'll be given Hprizontal distance d which is Tangent to inner circle .\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\u003eCalculate the Area of the Ring\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":51102,"title":"Round the chord length!!","description":null,"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: 20.4444px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.5px 10.2222px; transform-origin: 406.5px 10.2222px; 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: 383.5px 10.2222px; text-align: left; transform-origin: 383.5px 10.2222px; 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=\"\"\u003eIf a circle has a diameter of x and a circumference of y find the chord length which is Z and round it to 3 decimal places. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function Z = chord_length(x,y)\r\n \r\nend","test_suite":"%%\r\nx = 1;\r\ny = 1;\r\nZ_correct=0.479\r\nassert(isequal(chord_length(x,y),Z_correct))\r\n\r\n\r\n%%\r\nx = 1;\r\ny = 2;\r\nZ_correct=0.841\r\nassert(isequal(chord_length(x,y),Z_correct))\r\n\r\n%%\r\nx = 3;\r\ny = 4;\r\nZ_correct=2.728\r\nassert(isequal(chord_length(x,y),Z_correct))\r\n\r\n\r\n\r\n\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":13,"created_by":995198,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":25,"test_suite_updated_at":"2021-03-22T05:59:22.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-03-21T16:22:01.000Z","updated_at":"2026-03-05T13:56:21.000Z","published_at":"2021-03-21T16:22:01.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf a circle has a diameter of x and a circumference of y find the chord length which is Z and round it to 3 decimal places. \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":47995,"title":"Polygon in a unit circle","description":null,"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: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; 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: 384px 21px; text-align: left; transform-origin: 384px 21px; 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=\"\"\u003eApothem of a regular polygon is the line segment from the centre of the polygon to the midpoint of one of its sides. Determine the length of the apothem for a biggest regular polygon inscribed within a unit circle, given the number of sides.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = apothem(x)\r\n y = x*sqrt(x/2);\r\nend","test_suite":"%%\r\nx = 6;\r\ny_correct = 0.8660;\r\nassert(isequal(apothem(x),y_correct))\r\n%%\r\nx = 5;\r\ny_correct=0.8090;\r\nassert(isequal(apothem(x),y_correct))\r\n%%\r\nx = 17;\r\ny_correct=0.9830;\r\nassert(isequal(apothem(x),y_correct))\r\n%%\r\nx = 102;\r\ny_correct=0.9995;\r\nassert(isequal(apothem(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":180632,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":28,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-12-17T02:38:32.000Z","updated_at":"2025-02-13T20:08:34.000Z","published_at":"2020-12-17T02:38:32.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eApothem of a regular polygon is the line segment from the centre of the polygon to the midpoint of one of its sides. Determine the length of the apothem for a biggest regular polygon inscribed within a unit circle, given the number of sides.\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":2377,"title":"Area of a disk","description":"Find the area of a disk or circle. \r\n\r\nx= radius of the disk.","description_html":"\u003cp\u003eFind the area of a disk or circle.\u003c/p\u003e\u003cp\u003ex= radius of the disk.\u003c/p\u003e","function_template":"function y = crcl_area(x)\r\n y = x;\r\nend","test_suite":"%%\r\nx = 2;\r\ny_correct = 12.57;\r\nassert(isequal(crcl_area(x),y_correct))\r\n\r\n%%\r\nx = 12;\r\ny_correct = 452.39;\r\nassert(abs(y_correct-crcl_area(x)) \u003c= 0.01)","published":true,"deleted":false,"likes_count":2,"comments_count":6,"created_by":22553,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":375,"test_suite_updated_at":"2014-06-20T05:28:55.000Z","rescore_all_solutions":true,"group_id":1,"created_at":"2014-06-18T17:24:29.000Z","updated_at":"2026-02-18T16:00:08.000Z","published_at":"2014-06-18T17:25:07.000Z","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\u003eFind the area of a disk or circle.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ex= radius of the disk.\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":49948,"title":"Splitting Circle","description":"Consider a circle which has been divided into three concentric circles as depicted in the figure below\r\n\r\nThe ratio betwen the areas of the inner, intermediate, and outer regions is given in the input. The outermost radius is 1. Given the ratio of the regions, please determine the radii of the inner and intermediate regions.","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: 439.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 219.75px; transform-origin: 407px 219.75px; 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: 315px 8px; transform-origin: 315px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eConsider a circle which has been divided into three concentric circles as depicted in the figure below\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 358.5px; 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 179.25px; text-align: left; transform-origin: 384px 179.25px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 359px;height: 353px\" src=\"data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/4RE6RXhpZgAATU0AKgAAAAgABAE7AAIAAAAlAAAISodpAAQAAAABAAAIcJydAAEAAABKAAAQ6OocAAcAAAgMAAAAPgAAAAAc6gAAAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEtBU1RBTllBIERvZGR5IC0gKE5TJkwpIC0gS0lORUNUUklDUwAAAAWQAwACAAAAFAAAEL6QBAACAAAAFAAAENKSkQACAAAAAzkyAACSkgACAAAAAzkyAADqHAAHAAAIDAAACLIAAAAAHOoAAAAIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAyMDIxOjAxOjIyIDE3OjQ3OjA0ADIwMjE6MDE6MjIgMTc6NDc6MDQAAABLAEEAUwBUAEEATgBZAEEAIABEAG8AZABkAHkAIAAtACAAKABOAFMAJgBMACkAIAAtACAASwBJAE4ARQBDAFQAUgBJAEMAUwAAAP/hCztodHRwOi8vbnMuYWRvYmUuY29tL3hhcC8xLjAvADw/eHBhY2tldCBiZWdpbj0n77u/JyBpZD0nVzVNME1wQ2VoaUh6cmVTek5UY3prYzlkJz8+DQo8eDp4bXBtZXRhIHhtbG5zOng9ImFkb2JlOm5zOm1ldGEvIj48cmRmOlJERiB4bWxuczpyZGY9Imh0dHA6Ly93d3cudzMub3JnLzE5OTkvMDIvMjItcmRmLXN5bnRheC1ucyMiPjxyZGY6RGVzY3JpcHRpb24gcmRmOmFib3V0PSJ1dWlkOmZhZjViZGQ1LWJhM2QtMTFkYS1hZDMxLWQzM2Q3NTE4MmYxYiIgeG1sbnM6ZGM9Imh0dHA6Ly9wdXJsLm9yZy9kYy9lbGVtZW50cy8xLjEvIi8+PHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9InV1aWQ6ZmFmNWJkZDUtYmEzZC0xMWRhLWFkMzEtZDMzZDc1MTgyZjFiIiB4bWxuczp4bXA9Imh0dHA6Ly9ucy5hZG9iZS5jb20veGFwLzEuMC8iPjx4bXA6Q3JlYXRlRGF0ZT4yMDIxLTAxLTIyVDE3OjQ3OjA0LjkyNDwveG1wOkNyZWF0ZURhdGU+PC9yZGY6RGVzY3JpcHRpb24+PHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9InV1aWQ6ZmFmNWJkZDUtYmEzZC0xMWRhLWFkMzEtZDMzZDc1MTgyZjFiIiB4bWxuczpkYz0iaHR0cDovL3B1cmwub3JnL2RjL2VsZW1lbnRzLzEuMS8iPjxkYzpjcmVhdG9yPjxyZGY6U2VxIHhtbG5zOnJkZj0iaHR0cDovL3d3dy53My5vcmcvMTk5OS8wMi8yMi1yZGYtc3ludGF4LW5zIyI+PHJkZjpsaT5LQVNUQU5ZQSBEb2RkeSAtIChOUyZhbXA7TCkgLSBLSU5FQ1RSSUNTPC9yZGY6bGk+PC9yZGY6U2VxPg0KCQkJPC9kYzpjcmVhdG9yPjwvcmRmOkRlc2NyaXB0aW9uPjwvcmRmOlJERj48L3g6eG1wbWV0YT4NCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgPD94cGFja2V0IGVuZD0ndyc/Pv/bAEMABwUFBgUEBwYFBggHBwgKEQsKCQkKFQ8QDBEYFRoZGBUYFxseJyEbHSUdFxgiLiIlKCkrLCsaIC8zLyoyJyorKv/bAEMBBwgICgkKFAsLFCocGBwqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKv/AABEIAWEBZwMBIgACEQEDEQH/xAAfAAABBQEBAQEBAQAAAAAAAAAAAQIDBAUGBwgJCgv/xAC1EAACAQMDAgQDBQUEBAAAAX0BAgMABBEFEiExQQYTUWEHInEUMoGRoQgjQrHBFVLR8CQzYnKCCQoWFxgZGiUmJygpKjQ1Njc4OTpDREVGR0hJSlNUVVZXWFlaY2RlZmdoaWpzdHV2d3h5eoOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4eLj5OXm5+jp6vHy8/T19vf4+fr/xAAfAQADAQEBAQEBAQEBAAAAAAAAAQIDBAUGBwgJCgv/xAC1EQACAQIEBAMEBwUEBAABAncAAQIDEQQFITEGEkFRB2FxEyIygQgUQpGhscEJIzNS8BVictEKFiQ04SXxFxgZGiYnKCkqNTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqCg4SFhoeIiYqSk5SVlpeYmZqio6Slpqeoqaqys7S1tre4ubrCw8TFxsfIycrS09TV1tfY2dri4+Tl5ufo6ery8/T19vf4+fr/2gAMAwEAAhEDEQA/APpGiiigAooooAKKKKACiiigAooooAKKKKACiiigAoqtf6lZaVaNdaneQWdupwZbiQIoPpk8V5l4g/aC8LaYrJosVzrM20FSimGLOeQWcbgcc8KR059E5JbnRRw1av8Aw4t/13PVqCcDJ4FfL+tftAeL9RZhpn2TSYt5K+TCJH29gWfIP1AH4V59qevavrTI2sapeX5TOz7TO0m3PXGTx0H5VDqLoevSyOtLWpJL8f8AI+u9V+I3g/RVP2/xFYhg+wpDJ5zqeeqpkjoeormtS+PvgixdVtp73UQwOWtbYgL9fMK/pmvlmio9oz0IZJh18TbPojUP2k9IiZP7K0G9uQc7zcypDj0xt35/T8aon9pkZ48JnH/YR/8AtVeC0UueR0rKcGl8H4v/ADPd/wDhph93/Iqrtz0/tD/7XTv+GmRn/kUzj/sI/wD2qvBqKOeQ/wCysH/J+L/zPofT/wBpPSZGb+1NAvbYcbTbzJNn1znZjt61vad8fvBF67C5mvtOAAw1zakhvp5Zf/Jr5aop88jOWT4SWya+f+dz7J034leDNWiaS08SaeoVtpFxL5DZ9lk2kj3AxXTqwZQykEEZBHevg+tDTNf1fRWc6Pql7YGQAP8AZrho92OmdpGeppqo+pxVMij/AMu5/f8A0j7hor5d0T4/eMdNfGpPa6tESuRPCI2UDqFZMckdyG6D3z6X4f8A2g/C+pqqa1Dc6NNgli6+dF14AZRuJx6qB71ammeXWyrFUteW/p/Vz1eiq1hqNlqtmt1pl3BeW78LLBIHU+vI4qzVnmNNOzCiiigQUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRUV1dW9jayXN5NHbwRKWkllYKqAdyT0FeI+OP2g4og9l4GjEzkENqFxGQo46xoeSQT1YY4+6c5qXJLc6sPhK2Jlamvn0PXPEPirRPCtmLnX9Rhs0b7iucvJyAdqDLNjIzgcd68S8VftFX1w72/hCwW0hwQLq8UPKeByqA7Vwc9d2eOleOalqd7rGoS32qXUt1dTNukllbLMf88Y7VVrJzbPqMNlFClrU95/h93+Zf1nXNU8Qag17rV9Pe3DZ+eZ87RknCjooyTwMAVQooqD2EklZBRRRQMKKKKACiiigAooooAKKKKACiiigAooooAv6Prmp+H79b3Rb6eyuF43wuV3DIOCOjDIHByDXrvhX9oq+t3S38X2C3kOADdWahJRweWQna2Tjptxz1rxOimm1sc1fC0cQrVI3/AD+8+2vD3irRPFVmbnQNRhvEX76ocPHyQNyHDLnBxkc9q16+FrDULzS71LvTLuezuY87JoJCjrkYOCOehIr3PwP+0IsjR2PjiFY+MDUrdDjOB9+MevPK+w2961VRdT5vFZNUp+9R95duv/BPdqKhtLu3v7SO6sp47i3lXdHLE4ZXHqCODU1aHhNNOzCiiigQUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXMeOPH2keBNJN1qT+bdSA/ZrNGHmTN/RfVj09zgHmfil8XbbwZG2l6L5V3rjgbg3zR2qnu+OrHsv4njAb5m1PVL3WtSn1DVbmS6u523SSyHJY/wBB2AHAHFZynbRHu4DKpVrVK2ke3V/8A6Hxx8Rtc8dXhOpTeTYpIXgsYuEi4wMnqzY7n1OMA4rk6KKxPrIQjTiowVkgooooKCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigDqvBPxE13wLebtLn8yzd901lNzHJ2z/st7j0Gcjivp3wP8Q9F8d6csmnTCG9RN1xYyN+8i6Akf3lyR8w9RnB4r44q1pmp3ujalBqGl3MlrdwNujljOCp/qOxB4I4NVGTR5uNy6lilfaXf/ADPueivMPhV8XLfxhbx6Trjpb67GvB4VLwD+JfR/VfxHGQvp9bpprQ+Nr0KlCbhUWoUUUUzAKKKKACiiigAooooAKKKKACiiigAooooAK8j+LfxeXw0smheGplfV2GJ7gYZbUenoX/l9asfF/wCKieFLSTQ9DkDa1OnzyKf+PRCPvf75HQds5PbPzI8jyyNJKzO7EszMckk9STWM5dEfR5XlqnavWWnRfqLNNLcTyTXEjyyyMXeR2JZmJySSepNMoorM+oCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigB0cjwypLC7RyIwZXU4KkdCD2NfRPwg+L41gQeHPFVxjURhLS8kP8Ax8+iOf8Anp6H+L/e+986UAkHI4IpptM5cVhaeKp8k/k+x940V5L8GfiiPEljH4f1+5J1i3Q+TNK3N2g9+7gde5Azz81etV0Jpq58NiMPPD1HTmFFFFM5wooooAKKKKACiiigAooooAK4f4ofES38BaCPJxLq14rLZwkZC46yN/sjI47nj1I6fxBrtl4a0G71fU5Nlvaxl2xjLnsq56knAHua+N/FXia/8XeI7nV9TcmSZj5cecrDHn5UX2A/Pknkms5ytoj2MrwP1ifPP4V+L7f5mXcXE15dS3N3K808zl5JZGLM7E5JJPUk1HRRWJ9mFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUASW9xNZ3UVzaSvDPC4eOWNirIwOQQR0INfWfwq+IUPjrw4FuX26xZKqXiEAb+wlXHGGwcgdDkdME/JFbHhXxNf+EfEdrq+mORJC3zx5wsyfxI3sR+XBHIFVGVmcGPwccVSt9pbH2zRWX4b8QWPinw9aaxpblre5TIDDDIwOGUj1BBHpxxkVqV0HwsouEnGW6CiiigkKKKKACiiigAoorhfi542bwX4LkeykVdTviYLT1Tj5pMZ/hHQ/3iuRik3ZXNaNKVaoqcd2eN/HHx2/iPxO2h2Mn/ABLdKkZG2scTTdGYjgfKcqOv8RBw1eWUE5OTyaK5m7u5+gUKMaFNU4bIKKKKDYKKKKACiiigAooooAKKKKACgAkgAZJ6AVdtNKuLok48tAcFmH9K3LTS7e0IZV3uP427VhOtGHqddHC1KuuyMC2064umXZGVQn756CtGDw/8ym4l4xyqj9M1tAYGB0pa5ZYib20PSp4GlH4tTPj0azRQChYggkk9cVP/AGfaBSPs8eCc9Ks0Vk6k31OlUaa2iit/Z1n/AM+8f5UHT7QqF+zx4Bz0qzRS55dx+yp/yoz5NGs3UgIVJJIIPTNVJvD+FzBNk4PDjrW3RVqtNdTKWFoy3icpc6Zc2xO5Cy7sBlGc1UIIJBGCOoNdtVK70u3uyWZdjn+Ne9bwxPSRxVcB1ps5air13pNxaoz8PGv8S/4VRrrjJSV0ebOEoO0lYKKKKogKKKKACiiigAooooAKKKKAPU/gd47fw54oXQ76T/iW6tIqDcxxDP0VgOR8xwp6fwknC19PV8HA46V9bfCLxs3jTwWj3sofU7FvIu/V+Plkxn+Id+7BsVrTl0Pmc6wlv9oj8/0f6Hd0UUVqfNBRRRQAUUUUAFfI/wAXPGP/AAl/ju4ktpN+n2Oba0wcqwB+Zx2+ZsnPpt9K9/8Ai94rbwp8PbuW2YreXx+x25BwULg7n4IIwoYgjOG218j1jUfQ+nyTD6OvL0X6hRRRWZ9IFFFFABRRRQAUUUUAFFFSQQSXMyxRLlm/SlsNJt2Q2ON5XCxqWY9gK6Gw0eO3AefEkmBweimrNjYR2MOF+Zz95/WrVcFWu5aR2Paw+DUPenqwooormPQCiiigAooooAKKXY2zdtbb644pKQgooopjCiiigBCMjB6Vl6hoyzZktQEkJyVzwf8ACtWiqjOUHdGVSlCrG0kcW6NFIUkUqynBB7U2up1LTxew/JhZV5U46+xrmJI3icpIpVh2Ir0qdRVEeFiKEqMrdBtFFFanMFFFFABRRRQAUUUUAFd18IvGX/CH+OoHupdmnX2La7yflUE/K55x8rY57KW9a4WigipTjVg4S2Z940VxHwi8Tt4o+HNjNczebe2ebS5Jzksn3SSepKFST3JNdvXSndXPzytSlSqOnLdBRRRTMgooqC9vINOsLi9vJPLt7aJpZXwTtRRknA5PA7UDSbdkfNv7QniE6l46h0iJ2MGlQAMpUY82TDMQRyRt8sc9CDx3Pk9W9V1GbWNYvNSu9vn3k7zybRgbmYsce2TVSuZu7ufoeHoqhRjTXRBRRRSNwooooAKKKKACiiigBVUswVeSTgV1GmWH2KA7iDI/LHHT2rO0XT1l/wBJmGQp+QdifWt6uHEVLvkR7GCoWXtJfIKKKK5D0woorQ0zR59SbcvyQhsNIf6etRKUYK8iZSjBXkUY4nmkCRIXYnAAGa2rPwvcTKr3LiFT1Xq3SujstNttPUi2jwTwWPJNWq8urjpPSnoeZVxknpDQyrfw7YQrh4zMSBkuavLZWqKFW3iAUYHyCp6K4pVZy3ZxSqTluxnlR+X5exdn93HH5Uz7Jbf8+8X/AHwKmoqOZom7Mq48O6fMmEjMJAOChrHvPC9xCrNauJlH8PRuldbRXRDFVYdbm8MRVh1POJInhkKSoUYHBBGKbXoF7p9vfx7LhM+jDhh+Ncfqejz6axZvnhLYWQf19K9Shio1dHoz0qOJjU0ejM+iiius6wrP1aw+1wboxmVOnPUelaFFVGTi7oipBVIuMjiSCCQRgjqKK2ddswrC5QH5jhgBx9axq9SE1ON0fOVabpTcWFFFFWZBRRRQAUUUUAFFFFAHrP7PniQ6X42n0WQZh1eLCn+7JGGZefQqXH1xX0xXw1pOozaPrVlqVrt86zuEnjDDILKwYZHpxX2/aXUN9ZQXdq4eG4jWWNweGVhkH8jWtN9D5PO6HLVjVXX81/wPyJqKKK1PACvPfjhrJ0j4W3qI8scuoSR2kbRnGMncwPPQojg+ucdM16FXgn7SmrAy6HpEc7hlWS6mhBIUg4WNj2J4kHtk+tTJ2R35dT9rioL5/dqeE0UUVzn3gUUUUAFFFFABRRRQAVNa27XVykS/xHk+gqGtjQLfdK9wT935QKzqS5Ytm1Gn7Soom5GixRqiDCqMAU6iivKPpNgooqxY2b314kEXVjyScYHc0m0ldg2krst6Po8mpS73ylup+ZvX2FdnFEkEKxQqERRgKO1MtbWKzt1hgXaij8/c1NXgYiu6svI8OvWdWXkFFFFc5zhRRRQAUUUUAFFFFABTJYkmiaOVQ6MMFT3p9FGwHFazo76dLvjy1ux+Vv7vsay69EuIEurd4ZQSjjBwcVwd9ZyWN48EvVTwQc5HY17eFxHtVyy3R7GFr+0XLLdFeiiiu07RsiLLGyOMqwwRXI3Vu1rcvE38J4PqK7CsPxBBzHONoH3T6n/GunDztK3c8/HU+anzdUYtFFFegeIFFFFABRRRQAUUUUAFfWXwU1xtb+FuniWQyTWDNZSEjGAnKD8I2QV8m171+zXqxKa5o8k3AMd1DFx7rI3r/wA8xVQdmeTm9LnwrfbX9D3eiiiug+KCvlr4+6kb74pzW5QKLC1htwQc7sgy5Pp/rMfhX1LXxr8Sbya++JviGW4kMjrfyxAnHCo2xR+CqB+FZ1Nj3ckhevKXZHMUUUVifXBRRRQAUUUUAFFFFABXWadCYLCJGGDjJ6f0rl7dS9zGoBJLDp1612I4FceKlokepl8dZSFoooriPXCus8MWPk2bXTj5puF9lFczaQG5vIoRj52A5r0FEEaKiDCqMAe1edjqnLFQXU8/G1LRUF1HUUUV5B5QUUUUAFFFFABRRRQAUUUUAFFFFABWF4nsfOs1ukHzw8N7rW7TZEEsTI2cMCDj3rSlUdOakjSnNwmpI84oqS4ha3uZIXGCjEHnNR19GndXPoE7q6Cq2oQ+fYypz0yMAH+dWaQ8iqTs7ilFSi4s4qipblPLupVG7hj94c1FXrrVHy7VnYKKKKYgooooAKKKKACvTPgFqRsfilDbhNwv7Wa3J3Y24HmZ9/8AV4/GvM66n4Z3sth8T/D80G3c19HCd392Q7G/RjTWjOfFQ56E490z7IooorpPzwK+Htf1A6t4l1PUXTy2vLuWcoDnbuctjPfrX3DXwjMczyf7x/nWVTofS5Cleo/T9RlFFFZH0wUUUUAFFFFABRRRQBc0pS2pw4BODk47cV1Vc1of/ISH+4a6WvPxL989vAL9035hRRRXMegavhuLzNYQlNwRSScZx6Gu0rlfCf8Ax+z/APXP+tdVXiY13q2PGxjvVCiiiuI4wooooAKKKKACiiigAooooAKKKKACiiigDifEUax61LsGNwDH6kVmVv8Aiz/j9g/65/1rAr6HDu9KLPew7vSiwooorc3OW1cAanLhCvTr396pVo65/wAhI/7grOr1afwI+arq1WXqFFFFaGIUUUUAFFFFABWn4bv10rxVpOoSBitpewzsFGSQrhuM9+KzKfD/AK+P/eH86BNKSsz7uooorqPzUK+EZuLiT/eP86+7q+JPFdlHpvjLWbGBdsVtfzxIuScKshA689BWVTofSZDJXqL0/UyaKKKyPpwooooAKKKKACiiigDR0P8A5CQ/3DXS1yuk7f7Ti3568Y9a6qvPxPxnt4B/un6hRRRXMegbvhRgL+YEgFo+BnrzXWVxHh+VYdah3Z+bKjHqa7evExytVueNjFarcKKKK4jjCiiigAooooAKKKKACiiigAooooAKKKKAOV8Wf8fsH/XP+tYFafiGRZNal2HO0BT7ECsyvocOrUoo97Dq1KKCiiitzc5rW2B1I4IOFAOO1Z1W9TZW1KYpyM8nOcmqletTVoI+arO9ST8woooqzEKKKKACiiigAp8AzcRj/aH86ZWt4UsYtT8ZaNY3C7orm/ghkAOMq0gB5HsaBSlyptn23RRRXUfmoV8dfFKwbTfilr8DtuL3bT5xjiQCQD8A+K+xa+Xv2gdOSy+JxuUZib+yincE9CMx4HtiMH8TWdTY93JJ2xDj3R5fRRRWJ9cFFFFABRRRQAUUUUAS28nlXMb7Q21gcN0rsAcqCO9cVXV6bc/abJGJXcBhgvauPEx0TPUy+dm4luiiiuI9cfDK0MySISGUggg4r0K3mW4t45kxh1B4OcV51XUeF7/fE1nI3zJ80eT27ivPxtPmhzLocGMp80eZdDoaKKK8c8kKKKKACiiigAooooAKKKKACiiigAqOeZbe3klfGEUnk4qSue8UX+yJLONuX+aTB7dhWtGm6k1E1pU3UmonNTStNM8jklmJJyc0yiivoj39gprNtRm9BmnVS1WfyNPcg4ZvlHODVRXM0iaklCDk+hzEj+ZKz4xuYnFNoor2D5gKKKKBBRRRQAUUUUAFdX8L7CXUvij4fhgKhkvEnO4nG2P943TvhTXKV6h+z9py3vxOFy7FTYWcs6gfxE4jwfwkJ/Cmtznxc+TDzl5M+oaKKK6T88CvD/2k9JeTTNE1dAuyGaS2kPclwGX8Pkb8xXuFcT8YNE/tz4XatGqI01pGLuIt/CYzuYj32bx+NTJXR3ZfV9lioS87ffofIlFFFc596FFFFABRRRQAUUUUAFbOg3LCRrckbSNwyTxWNUkErQTpKnVTms6keeLRtRqezqKR2VFQ2tyl3brLHnB7HsamrymmnZn0iakroKltrmS0uEmhYqynt39qiopNJqzBpNWZ6DZXaX1ok8XAYcjOdp9KsVwemanLptxuT5o2++mev/167a1uory3Wa3bcjfp7GvCxGHdKV1seJXoOk/ImooorlOYKKKKACiiigAooooAKKKhurqKzt2muG2ov6+woSbdkNJt2Qy+vY7C0aeXJA4AHc+lcJc3Ml3cPNMxZmPft7VY1PU5dSuN7/LGv3EzwB/jVKvcw2H9lG73Z7OGoeyV3uwooorsOsK5/X52a4SD+FBu+pNbk86W8LSyEBVHfvXITStPO8r9WOa6sNC8uY87HVEoci3Yyiiiu88UKKKKACiiigAooooAK9+/Zr0pls9c1aS3XbI8VtDOcZ+UFnUdwPmjJ7Hj0rwGvrn4O6D/AGD8L9LR0VZ71TeylWJ3GTlT7HZsGPUVcF7x5GcVeTCuP8zS/X9DuKKKK3PiwpHRZI2RwGVgQwPcUtFAHxD4j0abw74l1DSLkNvs52iyyFd6g/K2D2IwR7GsyvZP2ifDQsvEll4gt0by9Rj8q4OCQJYwACT0GUwAOPuE+teN1zNWdj9DwtZV6Mandfj1CiiikdAUUUUAFFFFABRRRQBpaRfm3mEMrHynPHGcGukria6HRr/z4vIlJMiDgk9RXHiKf20ergsR/wAu5fI1aKKK4j1gq1Y6jcafKHgfC5yyHo31qrRUyipKzJlFSVmdxp+tWuoKAGEUuf8AVsefw9etaNebAkEEcEdDWnZ6/e2iqu8Sov8AC/PbHWvMq4HrTZ51TBPeDO2orBt/FVsy/wCkxPGwA+7yD61f/tvTv+ftPyNcUqFWLs4nFKjUi7NF+iqv9p2Xked9pj2eu73x0qFtc05VJ+0qcDOADk1CpzeyZKpzeyNCisG48VWyL/o0TyMQfvcAHtWPea/e3asm8RI38Kcdsda6IYOrLdWN4YWrLdWOk1HW7XT/AJSfNl/uIenPc9q5K+1G41CUvO+VzlUHRfpVUkkknknqaK9Sjh4UtVuelRw8KWu7Ciiiuk6QoorN1bUTaRiOEjzW/wDHR61UYuTsjOpUjTi5SKGt3qzzCCPBWM5LA9TWVQSSSSck9TRXqQioRsj52rUdSbkwoooqzIKKKKACiiigAooooA0/DmizeIvE2n6Rb7g95cJEWVC2xSfmbA7AZJ9ga+24IIrW3jgto1ihiQJHGgwqKBgADsAK+dP2dvDTXvii88QTxZg0+IxQuSw/fPwcdjhNwIJ43rx6fR1bU1pc+Szqvz1lSX2fzf8AwLBRRRWh4IUUUUAcp8S/C58XeAdQ02BA12q+fa5UE+anIAyRgsMrntur45IwcHg19418r/G/wcPDPjdr20j22GrBp48dFkz+8Xr6kN6fPgdKyqLqfS5JibN0Jeq/X+vU82ooorI+mCiiigAooooAKKKKACnI7RuHjYqynII7U2igex02napHdoElISbpj+99K0K4kEggg4I6EVtabrARRDeMcDhX/wAa4auHtrE9bD4y/u1PvNyimo6yIGjYMp6EGnVyHp7hRRRQMKKKKACiiigAooooAKKKKACimu6xoXchVUZJPasa+1z70doPbzD/AEq4U5TehjVrQpK8mXNR1NLOPbGQ8x6D09zXNPI0sjPIxZmOST3ppJJJJyT1NFejTpqmtDw6+IlWd3sFFFFanMFFFFABRRRQAUUUUAFAGTgcmivSfgh4PHibxwt9dx7rDSNtxJno8uf3a9fUFu4+TB60bmVarGjTdSWyPfvhr4XPhHwDp+mzIq3bKZ7rCgHzX5IOCclRhc99orqqKK6UrKx+e1Kkqs3OW7CiiimZhRRRQAVyfxJ8Gp438GXGmqVS7jYT2kjZwsi54OOxBK+2c4OK6yik1dWNKVSVKanHdHwjNDLbXEkFxG0UsTFHRxhlYHBBHY5plezfHn4ftpuqnxXpcLNaXr/6aqIAsEvAD8dnPU4+93+YCvGa52rOx+gYevHEUlUj1CiiikbhRRRQAUUUUAFFFFABRRRQBYtb2ezYmF8A9VPINbllrMNwdk37p+2Twea5uisp0oz3OmjiKlLZ6djtEdZEDRsGU9CDTq4+C6mtmBhcrznHY1fg16dNomVZAOp6E9P/AK9cksNJbHo08fBr3lY6GismPX4So8yN1OQDjn6mpxrNkVZvMI29ivJrJ0prodMcRRltIv0Vn/23Zf32/wC+TR/bVltB3t16bTS9nPsP6xS/mRoUVkya/CFPlxuxyQM8fQ1Sm125fIjCxgjHqauNCb6GUsZRj1udC7rGhaRgqjqSazbrW4IflgHmt6jpWHPdTXLEzOW53Y7Coa6IYZLWRxVcfJ6QVizc39xdZEsnyk52jgVWoorqSSVkefKTk7yYUUUUyQooooAKKKKACiiigAooooAfDDLc3EcFvG0ssjBERBlmYnAAHc5r7C+G3g1fA/gy302Qq15ITPduvRpWxwPYABffGe9eR/AT4f8A9oX/APwlmqwhrW1cpYo6/flGMyc9l6D/AGvQrX0RWtOPU+WznF80vYQ2W/r2CiiitT50KKKKACiiigAooooAqarpVlrelXGm6pbrc2lymyWJ+hH9CDggjkEZr5A8e+Cb7wN4ll0+7VmtpCXs585EseeOcD5h0I9fYgn7KrlfiH4Hs/HXhiWymRFvoVZ7K4PBikx0J/unABHpz1AqJxuerluOeGqcsvhe/l5/5nxxRVzVdKvdE1SfTtVt3tru3fZJG45B/qD1BHBHNU6wPtk01dBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXT+AfBN7458TRadahktkIe7uO0Meef+BHoB3PsCRiaTpN9rurW+m6TbPc3dw+yOJOpPr6AAckngAEmvr3wD4GsPAfh1bC0AlupcPd3RX5pnx/6COcDtk9ySajHmZ5uYY1YWnp8T2/zN/TdOtdI0u20/T4hFbWsSxRIOygYH1PvVmiiug+HbcndhRRRQIKKKKACiiigAooooAKKKKAPPfiz8No/HGifadPiRdcs1/0dywXzlzkxsfz256HuATXyrc209ndS213C8E8LlJIpFKsjA4IIPQg192V5p8VPhNb+Nof7T0jyrXXIwAXbhLpR/C+OjAdG/A8YK5zjfVHvZZmXsbUavw9H2/4H5HyzRVrUtNvdH1Kew1S2ktbuBtskUgwVP8AhjkHoQc1VrE+tTTV0FFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABU9jY3WpX0NlYQPcXM7hI4oxlmJ7Cn6bpt5rGpQafplu9zd3D7Iooxyx/oO+egHNfUfwt+Flr4GsRe6gI7nW51xJKOVgU/wJ/U9/pTSbehxYzGU8LDmlv0RL8Lfhna+BdJFxdqk2t3Kf6RN1EQ/wCeaew7nufbAHf0UV0JJKx8PWrTrzdSb1YUUUUzEKKKKACiiigAooooAKKKKACiiigAooooA4n4jfDPTvH9ijM4s9UgGILwJnI/uOO6/qDyO4Py34m8M6p4S1yXStag8qePlWXlJV7Op7g//WOCCK+2qyPE/hfSvF2iyaZrduJYX5R14eJuzoexH/1jkEis5Qvqj2MBmc8PaE9Y/l/XY+JaK9F+IXwf1jwY8t7Yq2paNuJE8a5eFev71QOO/wAw445xkCvOqx2Pr6VaFaHPTd0FFFFBoFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABWz4Y8Kav4v1dNP0O0aeQn95IRiOFf7zt0UcH69Bk8V1nw9+D2seM2ivr7dpujbhmeRcSTrjP7pT1HQbjxzxuwRX0r4Z8L6V4R0WLTNEtxDCnLueXlbu7nuT/9YYAAq4xbPIx2aU8PeENZfgvX/IwPh18M9N8A6exUrearMP396yYIH9xB/Cv6k8nsB21FFbJJbHyFWrOtNzm7thRRRTMgooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAAjIweRXlHjj4EaN4geW+8Ouuj3xX/UpGPs8hAP8I+4Sccjjj7pJr1eik0nub0MRVw8uam7HxP4k8J614S1A2mu2Ets24iOUjMcuMco/RhyOnTPODWNX3TfWFnqdm9pqVrDd20mN8M8YdGwcjIPHWvIfFX7O+l30j3HhS+bTHIJ+yz5liJwMYb7yjrnO7rxjGKycGtj6bDZzTn7tZcr79P+AfOlFdL4n+H/AIl8IzSDWNMmECHi7hBkhYZwDvHAz6HB5HFc1WZ7kJxnHmi7oKKKKCgooooAKKKKACiiigAooooAKKKKACiiigAorpfC/wAPvEvi+ZBo2mStbsebuYeXCoyATvPBxnouT14r2Twj+zxp1ltufGF3/aM3/PpasyQjqOW4Zv4TxtwQRyKai3scWIx1DD/HLXst/wCvU8Q8NeEdb8XagLTQbCW5IYCSXGI4c5OXfovQ+5xgZPFfQPgf4EaN4faO98Rsms34B/csg+zRkgfwkZcjnluOfugjNen2VjaabZpaadaw2ltHnZDBGERcnJwo4HJJqetVBLc+axWbVq3u0/dX4/eFFFFaHjBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAARkYPIriPEHwg8F+IVYyaSlhOVCifTz5JUA5+6PkJPTJUnH0FdvRSaT3NadapSd6cmj571z9m/UIpS/hzWre4iJY+XeqY2QZ+UblDBjjqcL06c8cBqnws8baQV+1eHLyQMCQbVRcAY9fLLY696+w6Kh010PVpZ1iIaTtL+vI+D2VkOHUqfQjFJX3NqGk6dq0SxarYWt7Gp3KlzCsgB9cMD6mud1H4V+CNUZWuvDdmhXOPswaDOfXyyufxqfZs9GGe0n8cGvTX/ACPjuivqbUPgH4IvWQ29ve6ftzkW10Tu+vmBuntjrVE/s5+ESf8Aj/1oe3nxf/G6XIzoWc4Vrr9x8z0V9Kj9nHwpu51LWNvp5sX/AMbp3/DOfhHP/IQ1r/v/ABf/ABujkkP+2MJ3f3HzRRX1Np/wD8EWTMbiC91ANjAubogL16eWF/X0rd074VeB9LZmtfDdm5br9pDXA/ASFsdaPZszlneHXwpv+vU+P4opJ5VigjaSRyFVEXJY+gFdVpfws8bauX+y+HLyMIASbpRbg59PMK5/DNfXOn6Vp2kQtDpVha2MTtuZLaFY1Y9MkKBzVuqVPucVTPZf8u4fefPui/s230mH8Q65BbgMCYrKIyFl7je23afwIr0rw/8AB7wX4fUFNJTUJ9pUzajickE5+6RsBHqFBruKKtRSPLrZjia2kpWXloFFFFUcAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQB//Z\" data-image-state=\"image-loaded\" width=\"359\" height=\"353\"\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: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; 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: 377px 8px; transform-origin: 377px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe ratio betwen the areas of the inner, intermediate, and outer regions is given in the input. The outermost radius is 1. Given the ratio of the regions, please determine the radii of the inner and intermediate regions.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = circle_split(s)\r\n y = s;\r\nend","test_suite":"%%\r\ns=[1 1 1];\r\ny=circle_split(s);\r\ny_correct=[0.5774 0.8165];\r\nassert(all(abs(y_correct-y)\u003c1e-5))\r\n%%\r\ns=[1 2 3];\r\ny=circle_split(s);\r\ny_correct=[0.4082 0.7071];\r\nassert(all(abs(y_correct-y)\u003c1e-5))\r\n%%\r\ns=[3 2 1];\r\ny=circle_split(s);\r\ny_correct=[0.7071 0.9129];\r\nassert(all(abs(y_correct-y)\u003c1e-5))\r\n%%\r\ns=[5 5 1];\r\ny=circle_split(s);\r\ny_correct=[0.6742 0.9535];\r\nassert(all(abs(y_correct-y)\u003c1e-5))\r\n%%\r\ns=[4 4 0];\r\ny=circle_split(s);\r\ny_correct=[0.7071 1.0000];\r\nassert(all(abs(y_correct-y)\u003c1e-5))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":180632,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":37,"test_suite_updated_at":"2021-12-26T14:39:33.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-01-22T23:01:39.000Z","updated_at":"2025-12-27T03:30:53.000Z","published_at":"2021-01-22T23:03:21.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eConsider a circle which has been divided into three concentric circles as depicted in the figure below\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=\\\"353\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"359\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe ratio betwen the areas of the inner, intermediate, and outer regions is given in the input. The outermost radius is 1. Given the ratio of the regions, please determine the radii of the inner and intermediate regions.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.jpeg\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.jpeg\",\"contentType\":\"image/jpeg\",\"content\":\"data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/4RE6RXhpZgAATU0AKgAAAAgABAE7AAIAAAAlAAAISodpAAQAAAABAAAIcJydAAEAAABKAAAQ6OocAAcAAAgMAAAAPgAAAAAc6gAAAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEtBU1RBTllBIERvZGR5IC0gKE5TJkwpIC0gS0lORUNUUklDUwAAAAWQAwACAAAAFAAAEL6QBAACAAAAFAAAENKSkQACAAAAAzkyAACSkgACAAAAAzkyAADqHAAHAAAIDAAACLIAAAAAHOoAAAAIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAyMDIxOjAxOjIyIDE3OjQ3OjA0ADIwMjE6MDE6MjIgMTc6NDc6MDQAAABLAEEAUwBUAEEATgBZAEEAIABEAG8AZABkAHkAIAAtACAAKABOAFMAJgBMACkAIAAtACAASwBJAE4ARQBDAFQAUgBJAEMAUwAAAP/hCztodHRwOi8vbnMuYWRvYmUuY29tL3hhcC8xLjAvADw/eHBhY2tldCBiZWdpbj0n77u/JyBpZD0nVzVNME1wQ2VoaUh6cmVTek5UY3prYzlkJz8+DQo8eDp4bXBtZXRhIHhtbG5zOng9ImFkb2JlOm5zOm1ldGEvIj48cmRmOlJERiB4bWxuczpyZGY9Imh0dHA6Ly93d3cudzMub3JnLzE5OTkvMDIvMjItcmRmLXN5bnRheC1ucyMiPjxyZGY6RGVzY3JpcHRpb24gcmRmOmFib3V0PSJ1dWlkOmZhZjViZGQ1LWJhM2QtMTFkYS1hZDMxLWQzM2Q3NTE4MmYxYiIgeG1sbnM6ZGM9Imh0dHA6Ly9wdXJsLm9yZy9kYy9lbGVtZW50cy8xLjEvIi8+PHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9InV1aWQ6ZmFmNWJkZDUtYmEzZC0xMWRhLWFkMzEtZDMzZDc1MTgyZjFiIiB4bWxuczp4bXA9Imh0dHA6Ly9ucy5hZG9iZS5jb20veGFwLzEuMC8iPjx4bXA6Q3JlYXRlRGF0ZT4yMDIxLTAxLTIyVDE3OjQ3OjA0LjkyNDwveG1wOkNyZWF0ZURhdGU+PC9yZGY6RGVzY3JpcHRpb24+PHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9InV1aWQ6ZmFmNWJkZDUtYmEzZC0xMWRhLWFkMzEtZDMzZDc1MTgyZjFiIiB4bWxuczpkYz0iaHR0cDovL3B1cmwub3JnL2RjL2VsZW1lbnRzLzEuMS8iPjxkYzpjcmVhdG9yPjxyZGY6U2VxIHhtbG5zOnJkZj0iaHR0cDovL3d3dy53My5vcmcvMTk5OS8wMi8yMi1yZGYtc3ludGF4LW5zIyI+PHJkZjpsaT5LQVNUQU5ZQSBEb2RkeSAtIChOUyZhbXA7TCkgLSBLSU5FQ1RSSUNTPC9yZGY6bGk+PC9yZGY6U2VxPg0KCQkJPC9kYzpjcmVhdG9yPjwvcmRmOkRlc2NyaXB0aW9uPjwvcmRmOlJERj48L3g6eG1wbWV0YT4NCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgPD94cGFja2V0IGVuZD0ndyc/Pv/bAEMABwUFBgUEBwYFBggHBwgKEQsKCQkKFQ8QDBEYFRoZGBUYFxseJyEbHSUdFxgiLiIlKCkrLCsaIC8zLyoyJyorKv/bAEMBBwgICgkKFAsLFCocGBwqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKv/AABEIAWEBZwMBIgACEQEDEQH/xAAfAAABBQEBAQEBAQAAAAAAAAAAAQIDBAUGBwgJCgv/xAC1EAACAQMDAgQDBQUEBAAAAX0BAgMABBEFEiExQQYTUWEHInEUMoGRoQgjQrHBFVLR8CQzYnKCCQoWFxgZGiUmJygpKjQ1Njc4OTpDREVGR0hJSlNUVVZXWFlaY2RlZmdoaWpzdHV2d3h5eoOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4eLj5OXm5+jp6vHy8/T19vf4+fr/xAAfAQADAQEBAQEBAQEBAAAAAAAAAQIDBAUGBwgJCgv/xAC1EQACAQIEBAMEBwUEBAABAncAAQIDEQQFITEGEkFRB2FxEyIygQgUQpGhscEJIzNS8BVictEKFiQ04SXxFxgZGiYnKCkqNTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqCg4SFhoeIiYqSk5SVlpeYmZqio6Slpqeoqaqys7S1tre4ubrCw8TFxsfIycrS09TV1tfY2dri4+Tl5ufo6ery8/T19vf4+fr/2gAMAwEAAhEDEQA/APpGiiigAooooAKKKKACiiigAooooAKKKKACiiigAoqtf6lZaVaNdaneQWdupwZbiQIoPpk8V5l4g/aC8LaYrJosVzrM20FSimGLOeQWcbgcc8KR059E5JbnRRw1av8Aw4t/13PVqCcDJ4FfL+tftAeL9RZhpn2TSYt5K+TCJH29gWfIP1AH4V59qevavrTI2sapeX5TOz7TO0m3PXGTx0H5VDqLoevSyOtLWpJL8f8AI+u9V+I3g/RVP2/xFYhg+wpDJ5zqeeqpkjoeormtS+PvgixdVtp73UQwOWtbYgL9fMK/pmvlmio9oz0IZJh18TbPojUP2k9IiZP7K0G9uQc7zcypDj0xt35/T8aon9pkZ48JnH/YR/8AtVeC0UueR0rKcGl8H4v/ADPd/wDhph93/Iqrtz0/tD/7XTv+GmRn/kUzj/sI/wD2qvBqKOeQ/wCysH/J+L/zPofT/wBpPSZGb+1NAvbYcbTbzJNn1znZjt61vad8fvBF67C5mvtOAAw1zakhvp5Zf/Jr5aop88jOWT4SWya+f+dz7J034leDNWiaS08SaeoVtpFxL5DZ9lk2kj3AxXTqwZQykEEZBHevg+tDTNf1fRWc6Pql7YGQAP8AZrho92OmdpGeppqo+pxVMij/AMu5/f8A0j7hor5d0T4/eMdNfGpPa6tESuRPCI2UDqFZMckdyG6D3z6X4f8A2g/C+pqqa1Dc6NNgli6+dF14AZRuJx6qB71ammeXWyrFUteW/p/Vz1eiq1hqNlqtmt1pl3BeW78LLBIHU+vI4qzVnmNNOzCiiigQUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRUV1dW9jayXN5NHbwRKWkllYKqAdyT0FeI+OP2g4og9l4GjEzkENqFxGQo46xoeSQT1YY4+6c5qXJLc6sPhK2Jlamvn0PXPEPirRPCtmLnX9Rhs0b7iucvJyAdqDLNjIzgcd68S8VftFX1w72/hCwW0hwQLq8UPKeByqA7Vwc9d2eOleOalqd7rGoS32qXUt1dTNukllbLMf88Y7VVrJzbPqMNlFClrU95/h93+Zf1nXNU8Qag17rV9Pe3DZ+eZ87RknCjooyTwMAVQooqD2EklZBRRRQMKKKKACiiigAooooAKKKKACiiigAooooAv6Prmp+H79b3Rb6eyuF43wuV3DIOCOjDIHByDXrvhX9oq+t3S38X2C3kOADdWahJRweWQna2Tjptxz1rxOimm1sc1fC0cQrVI3/AD+8+2vD3irRPFVmbnQNRhvEX76ocPHyQNyHDLnBxkc9q16+FrDULzS71LvTLuezuY87JoJCjrkYOCOehIr3PwP+0IsjR2PjiFY+MDUrdDjOB9+MevPK+w2961VRdT5vFZNUp+9R95duv/BPdqKhtLu3v7SO6sp47i3lXdHLE4ZXHqCODU1aHhNNOzCiiigQUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXMeOPH2keBNJN1qT+bdSA/ZrNGHmTN/RfVj09zgHmfil8XbbwZG2l6L5V3rjgbg3zR2qnu+OrHsv4njAb5m1PVL3WtSn1DVbmS6u523SSyHJY/wBB2AHAHFZynbRHu4DKpVrVK2ke3V/8A6Hxx8Rtc8dXhOpTeTYpIXgsYuEi4wMnqzY7n1OMA4rk6KKxPrIQjTiowVkgooooKCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigDqvBPxE13wLebtLn8yzd901lNzHJ2z/st7j0Gcjivp3wP8Q9F8d6csmnTCG9RN1xYyN+8i6Akf3lyR8w9RnB4r44q1pmp3ujalBqGl3MlrdwNujljOCp/qOxB4I4NVGTR5uNy6lilfaXf/ADPueivMPhV8XLfxhbx6Trjpb67GvB4VLwD+JfR/VfxHGQvp9bpprQ+Nr0KlCbhUWoUUUUzAKKKKACiiigAooooAKKKKACiiigAooooAK8j+LfxeXw0smheGplfV2GJ7gYZbUenoX/l9asfF/wCKieFLSTQ9DkDa1OnzyKf+PRCPvf75HQds5PbPzI8jyyNJKzO7EszMckk9STWM5dEfR5XlqnavWWnRfqLNNLcTyTXEjyyyMXeR2JZmJySSepNMoorM+oCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigB0cjwypLC7RyIwZXU4KkdCD2NfRPwg+L41gQeHPFVxjURhLS8kP8Ax8+iOf8Anp6H+L/e+986UAkHI4IpptM5cVhaeKp8k/k+x940V5L8GfiiPEljH4f1+5J1i3Q+TNK3N2g9+7gde5Azz81etV0Jpq58NiMPPD1HTmFFFFM5wooooAKKKKACiiigAooooAK4f4ofES38BaCPJxLq14rLZwkZC46yN/sjI47nj1I6fxBrtl4a0G71fU5Nlvaxl2xjLnsq56knAHua+N/FXia/8XeI7nV9TcmSZj5cecrDHn5UX2A/Pknkms5ytoj2MrwP1ifPP4V+L7f5mXcXE15dS3N3K808zl5JZGLM7E5JJPUk1HRRWJ9mFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUASW9xNZ3UVzaSvDPC4eOWNirIwOQQR0INfWfwq+IUPjrw4FuX26xZKqXiEAb+wlXHGGwcgdDkdME/JFbHhXxNf+EfEdrq+mORJC3zx5wsyfxI3sR+XBHIFVGVmcGPwccVSt9pbH2zRWX4b8QWPinw9aaxpblre5TIDDDIwOGUj1BBHpxxkVqV0HwsouEnGW6CiiigkKKKKACiiigAoorhfi542bwX4LkeykVdTviYLT1Tj5pMZ/hHQ/3iuRik3ZXNaNKVaoqcd2eN/HHx2/iPxO2h2Mn/ABLdKkZG2scTTdGYjgfKcqOv8RBw1eWUE5OTyaK5m7u5+gUKMaFNU4bIKKKKDYKKKKACiiigAooooAKKKKACgAkgAZJ6AVdtNKuLok48tAcFmH9K3LTS7e0IZV3uP427VhOtGHqddHC1KuuyMC2064umXZGVQn756CtGDw/8ym4l4xyqj9M1tAYGB0pa5ZYib20PSp4GlH4tTPj0azRQChYggkk9cVP/AGfaBSPs8eCc9Ks0Vk6k31OlUaa2iit/Z1n/AM+8f5UHT7QqF+zx4Bz0qzRS55dx+yp/yoz5NGs3UgIVJJIIPTNVJvD+FzBNk4PDjrW3RVqtNdTKWFoy3icpc6Zc2xO5Cy7sBlGc1UIIJBGCOoNdtVK70u3uyWZdjn+Ne9bwxPSRxVcB1ps5air13pNxaoz8PGv8S/4VRrrjJSV0ebOEoO0lYKKKKogKKKKACiiigAooooAKKKKAPU/gd47fw54oXQ76T/iW6tIqDcxxDP0VgOR8xwp6fwknC19PV8HA46V9bfCLxs3jTwWj3sofU7FvIu/V+Plkxn+Id+7BsVrTl0Pmc6wlv9oj8/0f6Hd0UUVqfNBRRRQAUUUUAFfI/wAXPGP/AAl/ju4ktpN+n2Oba0wcqwB+Zx2+ZsnPpt9K9/8Ai94rbwp8PbuW2YreXx+x25BwULg7n4IIwoYgjOG218j1jUfQ+nyTD6OvL0X6hRRRWZ9IFFFFABRRRQAUUUUAFFFSQQSXMyxRLlm/SlsNJt2Q2ON5XCxqWY9gK6Gw0eO3AefEkmBweimrNjYR2MOF+Zz95/WrVcFWu5aR2Paw+DUPenqwooormPQCiiigAooooAKKXY2zdtbb644pKQgooopjCiiigBCMjB6Vl6hoyzZktQEkJyVzwf8ACtWiqjOUHdGVSlCrG0kcW6NFIUkUqynBB7U2up1LTxew/JhZV5U46+xrmJI3icpIpVh2Ir0qdRVEeFiKEqMrdBtFFFanMFFFFABRRRQAUUUUAFd18IvGX/CH+OoHupdmnX2La7yflUE/K55x8rY57KW9a4WigipTjVg4S2Z940VxHwi8Tt4o+HNjNczebe2ebS5Jzksn3SSepKFST3JNdvXSndXPzytSlSqOnLdBRRRTMgooqC9vINOsLi9vJPLt7aJpZXwTtRRknA5PA7UDSbdkfNv7QniE6l46h0iJ2MGlQAMpUY82TDMQRyRt8sc9CDx3Pk9W9V1GbWNYvNSu9vn3k7zybRgbmYsce2TVSuZu7ufoeHoqhRjTXRBRRRSNwooooAKKKKACiiigBVUswVeSTgV1GmWH2KA7iDI/LHHT2rO0XT1l/wBJmGQp+QdifWt6uHEVLvkR7GCoWXtJfIKKKK5D0woorQ0zR59SbcvyQhsNIf6etRKUYK8iZSjBXkUY4nmkCRIXYnAAGa2rPwvcTKr3LiFT1Xq3SujstNttPUi2jwTwWPJNWq8urjpPSnoeZVxknpDQyrfw7YQrh4zMSBkuavLZWqKFW3iAUYHyCp6K4pVZy3ZxSqTluxnlR+X5exdn93HH5Uz7Jbf8+8X/AHwKmoqOZom7Mq48O6fMmEjMJAOChrHvPC9xCrNauJlH8PRuldbRXRDFVYdbm8MRVh1POJInhkKSoUYHBBGKbXoF7p9vfx7LhM+jDhh+Ncfqejz6axZvnhLYWQf19K9Shio1dHoz0qOJjU0ejM+iiius6wrP1aw+1wboxmVOnPUelaFFVGTi7oipBVIuMjiSCCQRgjqKK2ddswrC5QH5jhgBx9axq9SE1ON0fOVabpTcWFFFFWZBRRRQAUUUUAFFFFAHrP7PniQ6X42n0WQZh1eLCn+7JGGZefQqXH1xX0xXw1pOozaPrVlqVrt86zuEnjDDILKwYZHpxX2/aXUN9ZQXdq4eG4jWWNweGVhkH8jWtN9D5PO6HLVjVXX81/wPyJqKKK1PACvPfjhrJ0j4W3qI8scuoSR2kbRnGMncwPPQojg+ucdM16FXgn7SmrAy6HpEc7hlWS6mhBIUg4WNj2J4kHtk+tTJ2R35dT9rioL5/dqeE0UUVzn3gUUUUAFFFFABRRRQAVNa27XVykS/xHk+gqGtjQLfdK9wT935QKzqS5Ytm1Gn7Soom5GixRqiDCqMAU6iivKPpNgooqxY2b314kEXVjyScYHc0m0ldg2krst6Po8mpS73ylup+ZvX2FdnFEkEKxQqERRgKO1MtbWKzt1hgXaij8/c1NXgYiu6svI8OvWdWXkFFFFc5zhRRRQAUUUUAFFFFABTJYkmiaOVQ6MMFT3p9FGwHFazo76dLvjy1ux+Vv7vsay69EuIEurd4ZQSjjBwcVwd9ZyWN48EvVTwQc5HY17eFxHtVyy3R7GFr+0XLLdFeiiiu07RsiLLGyOMqwwRXI3Vu1rcvE38J4PqK7CsPxBBzHONoH3T6n/GunDztK3c8/HU+anzdUYtFFFegeIFFFFABRRRQAUUUUAFfWXwU1xtb+FuniWQyTWDNZSEjGAnKD8I2QV8m171+zXqxKa5o8k3AMd1DFx7rI3r/wA8xVQdmeTm9LnwrfbX9D3eiiiug+KCvlr4+6kb74pzW5QKLC1htwQc7sgy5Pp/rMfhX1LXxr8Sbya++JviGW4kMjrfyxAnHCo2xR+CqB+FZ1Nj3ckhevKXZHMUUUVifXBRRRQAUUUUAFFFFABXWadCYLCJGGDjJ6f0rl7dS9zGoBJLDp1612I4FceKlokepl8dZSFoooriPXCus8MWPk2bXTj5puF9lFczaQG5vIoRj52A5r0FEEaKiDCqMAe1edjqnLFQXU8/G1LRUF1HUUUV5B5QUUUUAFFFFABRRRQAUUUUAFFFFABWF4nsfOs1ukHzw8N7rW7TZEEsTI2cMCDj3rSlUdOakjSnNwmpI84oqS4ha3uZIXGCjEHnNR19GndXPoE7q6Cq2oQ+fYypz0yMAH+dWaQ8iqTs7ilFSi4s4qipblPLupVG7hj94c1FXrrVHy7VnYKKKKYgooooAKKKKACvTPgFqRsfilDbhNwv7Wa3J3Y24HmZ9/8AV4/GvM66n4Z3sth8T/D80G3c19HCd392Q7G/RjTWjOfFQ56E490z7IooorpPzwK+Htf1A6t4l1PUXTy2vLuWcoDnbuctjPfrX3DXwjMczyf7x/nWVTofS5Cleo/T9RlFFFZH0wUUUUAFFFFABRRRQBc0pS2pw4BODk47cV1Vc1of/ISH+4a6WvPxL989vAL9035hRRRXMegavhuLzNYQlNwRSScZx6Gu0rlfCf8Ax+z/APXP+tdVXiY13q2PGxjvVCiiiuI4wooooAKKKKACiiigAooooAKKKKACiiigDifEUax61LsGNwDH6kVmVv8Aiz/j9g/65/1rAr6HDu9KLPew7vSiwooorc3OW1cAanLhCvTr396pVo65/wAhI/7grOr1afwI+arq1WXqFFFFaGIUUUUAFFFFABWn4bv10rxVpOoSBitpewzsFGSQrhuM9+KzKfD/AK+P/eH86BNKSsz7uooorqPzUK+EZuLiT/eP86+7q+JPFdlHpvjLWbGBdsVtfzxIuScKshA689BWVTofSZDJXqL0/UyaKKKyPpwooooAKKKKACiiigDR0P8A5CQ/3DXS1yuk7f7Ti3568Y9a6qvPxPxnt4B/un6hRRRXMegbvhRgL+YEgFo+BnrzXWVxHh+VYdah3Z+bKjHqa7evExytVueNjFarcKKKK4jjCiiigAooooAKKKKACiiigAooooAKKKKAOV8Wf8fsH/XP+tYFafiGRZNal2HO0BT7ECsyvocOrUoo97Dq1KKCiiitzc5rW2B1I4IOFAOO1Z1W9TZW1KYpyM8nOcmqletTVoI+arO9ST8woooqzEKKKKACiiigAp8AzcRj/aH86ZWt4UsYtT8ZaNY3C7orm/ghkAOMq0gB5HsaBSlyptn23RRRXUfmoV8dfFKwbTfilr8DtuL3bT5xjiQCQD8A+K+xa+Xv2gdOSy+JxuUZib+yincE9CMx4HtiMH8TWdTY93JJ2xDj3R5fRRRWJ9cFFFFABRRRQAUUUUAS28nlXMb7Q21gcN0rsAcqCO9cVXV6bc/abJGJXcBhgvauPEx0TPUy+dm4luiiiuI9cfDK0MySISGUggg4r0K3mW4t45kxh1B4OcV51XUeF7/fE1nI3zJ80eT27ivPxtPmhzLocGMp80eZdDoaKKK8c8kKKKKACiiigAooooAKKKKACiiigAqOeZbe3klfGEUnk4qSue8UX+yJLONuX+aTB7dhWtGm6k1E1pU3UmonNTStNM8jklmJJyc0yiivoj39gprNtRm9BmnVS1WfyNPcg4ZvlHODVRXM0iaklCDk+hzEj+ZKz4xuYnFNoor2D5gKKKKBBRRRQAUUUUAFdX8L7CXUvij4fhgKhkvEnO4nG2P943TvhTXKV6h+z9py3vxOFy7FTYWcs6gfxE4jwfwkJ/Cmtznxc+TDzl5M+oaKKK6T88CvD/2k9JeTTNE1dAuyGaS2kPclwGX8Pkb8xXuFcT8YNE/tz4XatGqI01pGLuIt/CYzuYj32bx+NTJXR3ZfV9lioS87ffofIlFFFc596FFFFABRRRQAUUUUAFbOg3LCRrckbSNwyTxWNUkErQTpKnVTms6keeLRtRqezqKR2VFQ2tyl3brLHnB7HsamrymmnZn0iakroKltrmS0uEmhYqynt39qiopNJqzBpNWZ6DZXaX1ok8XAYcjOdp9KsVwemanLptxuT5o2++mev/167a1uory3Wa3bcjfp7GvCxGHdKV1seJXoOk/ImooorlOYKKKKACiiigAooooAKKKhurqKzt2muG2ov6+woSbdkNJt2Qy+vY7C0aeXJA4AHc+lcJc3Ml3cPNMxZmPft7VY1PU5dSuN7/LGv3EzwB/jVKvcw2H9lG73Z7OGoeyV3uwooorsOsK5/X52a4SD+FBu+pNbk86W8LSyEBVHfvXITStPO8r9WOa6sNC8uY87HVEoci3Yyiiiu88UKKKKACiiigAooooAK9+/Zr0pls9c1aS3XbI8VtDOcZ+UFnUdwPmjJ7Hj0rwGvrn4O6D/AGD8L9LR0VZ71TeylWJ3GTlT7HZsGPUVcF7x5GcVeTCuP8zS/X9DuKKKK3PiwpHRZI2RwGVgQwPcUtFAHxD4j0abw74l1DSLkNvs52iyyFd6g/K2D2IwR7GsyvZP2ifDQsvEll4gt0by9Rj8q4OCQJYwACT0GUwAOPuE+teN1zNWdj9DwtZV6Mandfj1CiiikdAUUUUAFFFFABRRRQBpaRfm3mEMrHynPHGcGukria6HRr/z4vIlJMiDgk9RXHiKf20ergsR/wAu5fI1aKKK4j1gq1Y6jcafKHgfC5yyHo31qrRUyipKzJlFSVmdxp+tWuoKAGEUuf8AVsefw9etaNebAkEEcEdDWnZ6/e2iqu8Sov8AC/PbHWvMq4HrTZ51TBPeDO2orBt/FVsy/wCkxPGwA+7yD61f/tvTv+ftPyNcUqFWLs4nFKjUi7NF+iqv9p2Xked9pj2eu73x0qFtc05VJ+0qcDOADk1CpzeyZKpzeyNCisG48VWyL/o0TyMQfvcAHtWPea/e3asm8RI38Kcdsda6IYOrLdWN4YWrLdWOk1HW7XT/AJSfNl/uIenPc9q5K+1G41CUvO+VzlUHRfpVUkkknknqaK9Sjh4UtVuelRw8KWu7Ciiiuk6QoorN1bUTaRiOEjzW/wDHR61UYuTsjOpUjTi5SKGt3qzzCCPBWM5LA9TWVQSSSSck9TRXqQioRsj52rUdSbkwoooqzIKKKKACiiigAooooA0/DmizeIvE2n6Rb7g95cJEWVC2xSfmbA7AZJ9ga+24IIrW3jgto1ihiQJHGgwqKBgADsAK+dP2dvDTXvii88QTxZg0+IxQuSw/fPwcdjhNwIJ43rx6fR1bU1pc+Szqvz1lSX2fzf8AwLBRRRWh4IUUUUAcp8S/C58XeAdQ02BA12q+fa5UE+anIAyRgsMrntur45IwcHg19418r/G/wcPDPjdr20j22GrBp48dFkz+8Xr6kN6fPgdKyqLqfS5JibN0Jeq/X+vU82ooorI+mCiiigAooooAKKKKACnI7RuHjYqynII7U2igex02napHdoElISbpj+99K0K4kEggg4I6EVtabrARRDeMcDhX/wAa4auHtrE9bD4y/u1PvNyimo6yIGjYMp6EGnVyHp7hRRRQMKKKKACiiigAooooAKKKKACimu6xoXchVUZJPasa+1z70doPbzD/AEq4U5TehjVrQpK8mXNR1NLOPbGQ8x6D09zXNPI0sjPIxZmOST3ppJJJJyT1NFejTpqmtDw6+IlWd3sFFFFanMFFFFABRRRQAUUUUAFAGTgcmivSfgh4PHibxwt9dx7rDSNtxJno8uf3a9fUFu4+TB60bmVarGjTdSWyPfvhr4XPhHwDp+mzIq3bKZ7rCgHzX5IOCclRhc99orqqKK6UrKx+e1Kkqs3OW7CiiimZhRRRQAVyfxJ8Gp438GXGmqVS7jYT2kjZwsi54OOxBK+2c4OK6yik1dWNKVSVKanHdHwjNDLbXEkFxG0UsTFHRxhlYHBBHY5plezfHn4ftpuqnxXpcLNaXr/6aqIAsEvAD8dnPU4+93+YCvGa52rOx+gYevHEUlUj1CiiikbhRRRQAUUUUAFFFFABRRRQBYtb2ezYmF8A9VPINbllrMNwdk37p+2Twea5uisp0oz3OmjiKlLZ6djtEdZEDRsGU9CDTq4+C6mtmBhcrznHY1fg16dNomVZAOp6E9P/AK9cksNJbHo08fBr3lY6GismPX4So8yN1OQDjn6mpxrNkVZvMI29ivJrJ0prodMcRRltIv0Vn/23Zf32/wC+TR/bVltB3t16bTS9nPsP6xS/mRoUVkya/CFPlxuxyQM8fQ1Sm125fIjCxgjHqauNCb6GUsZRj1udC7rGhaRgqjqSazbrW4IflgHmt6jpWHPdTXLEzOW53Y7Coa6IYZLWRxVcfJ6QVizc39xdZEsnyk52jgVWoorqSSVkefKTk7yYUUUUyQooooAKKKKACiiigAooooAfDDLc3EcFvG0ssjBERBlmYnAAHc5r7C+G3g1fA/gy302Qq15ITPduvRpWxwPYABffGe9eR/AT4f8A9oX/APwlmqwhrW1cpYo6/flGMyc9l6D/AGvQrX0RWtOPU+WznF80vYQ2W/r2CiiitT50KKKKACiiigAooooAqarpVlrelXGm6pbrc2lymyWJ+hH9CDggjkEZr5A8e+Cb7wN4ll0+7VmtpCXs585EseeOcD5h0I9fYgn7KrlfiH4Hs/HXhiWymRFvoVZ7K4PBikx0J/unABHpz1AqJxuerluOeGqcsvhe/l5/5nxxRVzVdKvdE1SfTtVt3tru3fZJG45B/qD1BHBHNU6wPtk01dBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXT+AfBN7458TRadahktkIe7uO0Meef+BHoB3PsCRiaTpN9rurW+m6TbPc3dw+yOJOpPr6AAckngAEmvr3wD4GsPAfh1bC0AlupcPd3RX5pnx/6COcDtk9ySajHmZ5uYY1YWnp8T2/zN/TdOtdI0u20/T4hFbWsSxRIOygYH1PvVmiiug+HbcndhRRRQIKKKKACiiigAooooAKKKKAPPfiz8No/HGifadPiRdcs1/0dywXzlzkxsfz256HuATXyrc209ndS213C8E8LlJIpFKsjA4IIPQg192V5p8VPhNb+Nof7T0jyrXXIwAXbhLpR/C+OjAdG/A8YK5zjfVHvZZmXsbUavw9H2/4H5HyzRVrUtNvdH1Kew1S2ktbuBtskUgwVP8AhjkHoQc1VrE+tTTV0FFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABU9jY3WpX0NlYQPcXM7hI4oxlmJ7Cn6bpt5rGpQafplu9zd3D7Iooxyx/oO+egHNfUfwt+Flr4GsRe6gI7nW51xJKOVgU/wJ/U9/pTSbehxYzGU8LDmlv0RL8Lfhna+BdJFxdqk2t3Kf6RN1EQ/wCeaew7nufbAHf0UV0JJKx8PWrTrzdSb1YUUUUzEKKKKACiiigAooooAKKKKACiiigAooooA4n4jfDPTvH9ijM4s9UgGILwJnI/uOO6/qDyO4Py34m8M6p4S1yXStag8qePlWXlJV7Op7g//WOCCK+2qyPE/hfSvF2iyaZrduJYX5R14eJuzoexH/1jkEis5Qvqj2MBmc8PaE9Y/l/XY+JaK9F+IXwf1jwY8t7Yq2paNuJE8a5eFev71QOO/wAw445xkCvOqx2Pr6VaFaHPTd0FFFFBoFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABWz4Y8Kav4v1dNP0O0aeQn95IRiOFf7zt0UcH69Bk8V1nw9+D2seM2ivr7dpujbhmeRcSTrjP7pT1HQbjxzxuwRX0r4Z8L6V4R0WLTNEtxDCnLueXlbu7nuT/9YYAAq4xbPIx2aU8PeENZfgvX/IwPh18M9N8A6exUrearMP396yYIH9xB/Cv6k8nsB21FFbJJbHyFWrOtNzm7thRRRTMgooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAAjIweRXlHjj4EaN4geW+8Ouuj3xX/UpGPs8hAP8I+4Sccjjj7pJr1eik0nub0MRVw8uam7HxP4k8J614S1A2mu2Ets24iOUjMcuMco/RhyOnTPODWNX3TfWFnqdm9pqVrDd20mN8M8YdGwcjIPHWvIfFX7O+l30j3HhS+bTHIJ+yz5liJwMYb7yjrnO7rxjGKycGtj6bDZzTn7tZcr79P+AfOlFdL4n+H/AIl8IzSDWNMmECHi7hBkhYZwDvHAz6HB5HFc1WZ7kJxnHmi7oKKKKCgooooAKKKKACiiigAooooAKKKKACiiigAorpfC/wAPvEvi+ZBo2mStbsebuYeXCoyATvPBxnouT14r2Twj+zxp1ltufGF3/aM3/PpasyQjqOW4Zv4TxtwQRyKai3scWIx1DD/HLXst/wCvU8Q8NeEdb8XagLTQbCW5IYCSXGI4c5OXfovQ+5xgZPFfQPgf4EaN4faO98Rsms34B/csg+zRkgfwkZcjnluOfugjNen2VjaabZpaadaw2ltHnZDBGERcnJwo4HJJqetVBLc+axWbVq3u0/dX4/eFFFFaHjBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAARkYPIriPEHwg8F+IVYyaSlhOVCifTz5JUA5+6PkJPTJUnH0FdvRSaT3NadapSd6cmj571z9m/UIpS/hzWre4iJY+XeqY2QZ+UblDBjjqcL06c8cBqnws8baQV+1eHLyQMCQbVRcAY9fLLY696+w6Kh010PVpZ1iIaTtL+vI+D2VkOHUqfQjFJX3NqGk6dq0SxarYWt7Gp3KlzCsgB9cMD6mud1H4V+CNUZWuvDdmhXOPswaDOfXyyufxqfZs9GGe0n8cGvTX/ACPjuivqbUPgH4IvWQ29ve6ftzkW10Tu+vmBuntjrVE/s5+ESf8Aj/1oe3nxf/G6XIzoWc4Vrr9x8z0V9Kj9nHwpu51LWNvp5sX/AMbp3/DOfhHP/IQ1r/v/ABf/ABujkkP+2MJ3f3HzRRX1Np/wD8EWTMbiC91ANjAubogL16eWF/X0rd074VeB9LZmtfDdm5br9pDXA/ASFsdaPZszlneHXwpv+vU+P4opJ5VigjaSRyFVEXJY+gFdVpfws8bauX+y+HLyMIASbpRbg59PMK5/DNfXOn6Vp2kQtDpVha2MTtuZLaFY1Y9MkKBzVuqVPucVTPZf8u4fefPui/s230mH8Q65BbgMCYrKIyFl7je23afwIr0rw/8AB7wX4fUFNJTUJ9pUzajickE5+6RsBHqFBruKKtRSPLrZjia2kpWXloFFFFUcAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQB//Z\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":45358,"title":"Do they touch?","description":"The center and radius of two circles are given.\r\n\r\nDetermine whether they touch.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20px; 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: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"display: block; min-width: 0px; padding-top: 0px; transform-origin: 332px 25.5px; vertical-align: baseline; perspective-origin: 332px 25.5px; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; transform-origin: 309px 10.5px; white-space: pre-wrap; perspective-origin: 309px 10.5px; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe center and radius of two circles are given.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; transform-origin: 309px 10.5px; white-space: pre-wrap; perspective-origin: 309px 10.5px; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eDetermine whether they touch at one point.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = touch(x)\r\n y = x;\r\nend","test_suite":"%%\r\nx1=[0,0];\r\nx2=[5,5];\r\nr1=3;\r\nr2=2;\r\nassert(isequal(touch(x1,x2,r1,r2),0))\r\n\r\n%%\r\nx1=[0,0];\r\nx2=[3,4];\r\nr1=3;\r\nr2=2;\r\nassert(isequal(touch(x1,x2,r1,r2),1))\r\n\r\n%%\r\nx1=[2,1];\r\nx2=[3,4];\r\nr1=4;\r\nr2=2;\r\nassert(isequal(touch(x1,x2,r1,r2),0))\r\n\r\n%%\r\nx1=[-1,0];\r\nx2=[3,-3];\r\nr1=3;\r\nr2=8;\r\nassert(isequal(touch(x1,x2,r1,r2),1))\r\n\r\n%%\r\nx1=[-5,-5];\r\nx2=[5,5];\r\nr1=5;\r\nr2=5;\r\nassert(isequal(touch(x1,x2,r1,r2),0))","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":25,"test_suite_updated_at":"2020-02-26T14:39:10.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-02-26T14:25:46.000Z","updated_at":"2026-02-24T05:33:32.000Z","published_at":"2020-02-26T14:39:10.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe center and radius of two circles are 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\u003eDetermine whether they touch at one point.\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":45337,"title":"Area-03","description":"There are two circles of equal size are inscribed inside a square. They are tangent to each other.\r\n\r\n\u003chttps://serving.photos.photobox.com/4629487514d477b90123a8d594e9bdaa5ddba8e2ac82569375c49cd5551dd3acffb751ed.jpg\u003e\r\n\r\nGiven the side length of the square, find the radius of the circles.","description_html":"\u003cp\u003eThere are two circles of equal size are inscribed inside a square. They are tangent to each other.\u003c/p\u003e\u003cp\u003e\u003ca href = \"https://serving.photos.photobox.com/4629487514d477b90123a8d594e9bdaa5ddba8e2ac82569375c49cd5551dd3acffb751ed.jpg\"\u003ehttps://serving.photos.photobox.com/4629487514d477b90123a8d594e9bdaa5ddba8e2ac82569375c49cd5551dd3acffb751ed.jpg\u003c/a\u003e\u003c/p\u003e\u003cp\u003eGiven the side length of the square, find the radius of the circles.\u003c/p\u003e","function_template":"function y =inscribed_circle_3(a)\r\n y = x;\r\nend","test_suite":"%%\r\na = 1;\r\ny_correct = .2929;\r\nassert(abs(inscribed_circle_3(a)-y_correct)\u003c0.001)\r\n\r\n%%\r\na = 10;\r\ny_correct = 2.9289;\r\nassert(abs(inscribed_circle_3(a)-y_correct)\u003c0.001)\r\n\r\n%%\r\na = 23.6;\r\ny_correct = 6.9123;\r\nassert(abs(inscribed_circle_3(a)-y_correct)\u003c0.001)\r\n\r\n%%\r\na = 0;\r\ny_correct = 0;\r\nassert(abs(inscribed_circle_3(a)-y_correct)\u003c0.001)\r\n\r\n%%\r\na = pi;\r\ny_correct = 0.9202;\r\nassert(abs(inscribed_circle_3(a)-y_correct)\u003c0.001)","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":32,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-02-17T06:35:50.000Z","updated_at":"2025-12-07T20:32:03.000Z","published_at":"2020-02-17T06:36:40.000Z","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\u003eThere are two circles of equal size are inscribed inside a square. They are tangent to each other.\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:hyperlink w:docLocation=\\\"https://serving.photos.photobox.com/4629487514d477b90123a8d594e9bdaa5ddba8e2ac82569375c49cd5551dd3acffb751ed.jpg\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026lt;https://serving.photos.photobox.com/4629487514d477b90123a8d594e9bdaa5ddba8e2ac82569375c49cd5551dd3acffb751ed.jpg\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven the side length of the square, find the radius of the circles.\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":45334,"title":"Area-02","description":"Given the radius of the circle inscribed in a square, find the area of the square that can be fitted perfectly in the corner.\r\n\r\n\u003chttps://serving.photos.photobox.com/951462430971a9cfd5dff5f0f3e94dee75ee1bb89ddb5e3e47e18f79b04d3cd720c92cb2.jpg\u003e","description_html":"\u003cp\u003eGiven the radius of the circle inscribed in a square, find the area of the square that can be fitted perfectly in the corner.\u003c/p\u003e\u003cp\u003e\u003ca href = \"https://serving.photos.photobox.com/951462430971a9cfd5dff5f0f3e94dee75ee1bb89ddb5e3e47e18f79b04d3cd720c92cb2.jpg\"\u003ehttps://serving.photos.photobox.com/951462430971a9cfd5dff5f0f3e94dee75ee1bb89ddb5e3e47e18f79b04d3cd720c92cb2.jpg\u003c/a\u003e\u003c/p\u003e","function_template":"function y = inscribed_circle_2(r)\r\n y = x;\r\nend","test_suite":"%%\r\nr=1;\r\ny_correct = 0.0858;\r\nassert(abs(inscribed_circle_2(r)-y_correct)\u003c0.001)\r\n%%\r\nr=11;\r\ny_correct = 10.3802;\r\nassert(abs(inscribed_circle_2(r)-y_correct)\u003c0.001)\r\n%%\r\nr=45.98;\r\ny_correct = 181.3663;\r\nassert(abs(inscribed_circle_2(r)-y_correct)\u003c0.001)\r\n%%\r\nr=0;\r\ny_correct = 0;\r\nassert(abs(inscribed_circle_2(r)-y_correct)\u003c0.001)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":42,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-02-16T18:38:38.000Z","updated_at":"2025-08-03T22:41:51.000Z","published_at":"2020-02-16T18:39:11.000Z","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\u003eGiven the radius of the circle inscribed in a square, find the area of the square that can be fitted perfectly in the corner.\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:hyperlink w:docLocation=\\\"https://serving.photos.photobox.com/951462430971a9cfd5dff5f0f3e94dee75ee1bb89ddb5e3e47e18f79b04d3cd720c92cb2.jpg\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026lt;https://serving.photos.photobox.com/951462430971a9cfd5dff5f0f3e94dee75ee1bb89ddb5e3e47e18f79b04d3cd720c92cb2.jpg\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\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":45406,"title":"Yoonir - 01","description":"Find the area of a five-pointed star inscribed in a circle of radius r.","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: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 10.5px; transform-origin: 407px 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: 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: 207.5px 8px; transform-origin: 207.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFind the area of a five-pointed star inscribed in a circle of radius r.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y =yoonir_02(r)","test_suite":"%%\r\nassert(abs(yoonir_02(10)-112.257)\u003c0.001)\r\n\r\n%%\r\nassert(abs(yoonir_02(3)-10.1031)\u003c0.001)\r\n\r\n%%\r\nassert(abs(yoonir_02(pi)-11.0793)\u003c0.001)\r\n\r\n%%\r\nassert(abs(yoonir_02(pi^5)-105126.4832)\u003c0.001)\r\n\r\n%%\r\nassert(abs(yoonir_02(1)-1.1226)\u003c0.001)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":363598,"edited_by":223089,"edited_at":"2023-01-14T09:16:04.000Z","deleted_by":null,"deleted_at":null,"solvers_count":24,"test_suite_updated_at":"2023-01-14T09:16:04.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-03-31T00:21:25.000Z","updated_at":"2026-01-03T15:34:12.000Z","published_at":"2020-03-31T00:21:25.000Z","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 area of a five-pointed star inscribed in a circle of radius r.\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":837,"title":"Find all the zeros of sinus , cosinus and tangent in a given interval","description":"The aim is to find all the zeros of a function within an interval.\r\n\r\n*Input* : \r\n\r\n* fcn : an anonymous function (@sin, @cos...)\r\n* \r\n* lb : lower bound\r\n* \r\n* ub :upper bound\r\n\r\n\r\n*Output* :\r\n\r\n* output : vector with unique values for which the input function return zero\r\nThe values must be sorted in ascending order. \r\n\r\n*Example* \r\n\r\n\r\n\r\n output = find_zeros(@sin,0,2*pi) will return :\r\n\r\n output = [0.0000 3.1416 6.2832]\r\n\r\nsince the sinus function between [0 2pi] is zero for [0 pi 2pi]\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20px; 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: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"display: block; min-width: 0px; padding-top: 0px; transform-origin: 332px 197px; vertical-align: baseline; perspective-origin: 332px 197px; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; transform-origin: 309px 10.5px; white-space: pre-wrap; perspective-origin: 309px 10.5px; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe aim is to find all the zeros of a function within an interval.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; transform-origin: 309px 10.5px; white-space: pre-wrap; perspective-origin: 309px 10.5px; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eInput\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-bottom: 20px; margin-top: 10px; transform-origin: 316px 50px; perspective-origin: 316px 50px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"display: list-item; margin-bottom: 0px; margin-left: 56px; margin-top: 0px; text-align: left; transform-origin: 288px 10px; white-space: pre-wrap; perspective-origin: 288px 10px; margin-left: 56px; \"\u003e\u003cspan style=\"display: inline; margin-left: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003efcn : an anonymous function (@sin, @cos...)\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"display: list-item; margin-bottom: 0px; margin-left: 56px; margin-top: 0px; text-align: left; transform-origin: 288px 10px; white-space: pre-wrap; perspective-origin: 288px 10px; margin-left: 56px; \"\u003e\u003c/li\u003e\u003cli style=\"display: list-item; margin-bottom: 0px; margin-left: 56px; margin-top: 0px; text-align: left; transform-origin: 288px 10px; white-space: pre-wrap; perspective-origin: 288px 10px; margin-left: 56px; \"\u003e\u003cspan style=\"display: inline; margin-left: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003elb : lower bound\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"display: list-item; margin-bottom: 0px; margin-left: 56px; margin-top: 0px; text-align: left; transform-origin: 288px 10px; white-space: pre-wrap; perspective-origin: 288px 10px; margin-left: 56px; \"\u003e\u003c/li\u003e\u003cli style=\"display: list-item; margin-bottom: 0px; margin-left: 56px; margin-top: 0px; text-align: left; transform-origin: 288px 10px; white-space: pre-wrap; perspective-origin: 288px 10px; margin-left: 56px; \"\u003e\u003cspan style=\"display: inline; margin-left: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eub :upper bound\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; transform-origin: 309px 10.5px; white-space: pre-wrap; perspective-origin: 309px 10.5px; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eOutput\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-bottom: 20px; margin-top: 10px; transform-origin: 316px 20px; perspective-origin: 316px 20px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"display: list-item; margin-bottom: 0px; margin-left: 56px; margin-top: 0px; text-align: left; transform-origin: 288px 20px; white-space: pre-wrap; perspective-origin: 288px 20px; margin-left: 56px; \"\u003e\u003cspan style=\"display: inline; margin-left: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eoutput : vector with unique values for which the input function return zeroThe values must be sorted in ascending order.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; transform-origin: 309px 10.5px; white-space: pre-wrap; perspective-origin: 309px 10.5px; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eExample\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-bottom: 10px; margin-left: 3px; margin-right: 3px; margin-top: 10px; transform-origin: 329px 30px; perspective-origin: 329px 30px; 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-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-top-left-radius: 0px; border-top-right-radius: 0px; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-height: 18px; padding-left: 4px; transform-origin: 329px 10px; white-space: nowrap; perspective-origin: 329px 10px; \"\u003e\u003cspan style=\"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-right: 45px; min-height: 0px; padding-left: 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; perspective-origin: 0px 0px; margin-right: 45px; \"\u003e\u003cspan style=\"margin-right: 0px; \"\u003eoutput = find_zeros(@sin,0,2*pi) will \u003c/span\u003e\u003cspan style=\"border-bottom-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); margin-right: 0px; outline-color: rgb(170, 4, 249); text-decoration-color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); \"\u003ereturn :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; 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-top-left-radius: 0px; border-top-right-radius: 0px; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-height: 18px; padding-left: 4px; transform-origin: 329px 10px; white-space: nowrap; perspective-origin: 329px 10px; \"\u003e\u003cspan style=\"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-right: 45px; min-height: 0px; padding-left: 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; perspective-origin: 0px 0px; margin-right: 45px; \"\u003e\u003cspan style=\"margin-right: 0px; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; 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-top-left-radius: 0px; border-top-right-radius: 0px; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-height: 18px; padding-left: 4px; transform-origin: 329px 10px; white-space: nowrap; perspective-origin: 329px 10px; \"\u003e\u003cspan style=\"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-right: 45px; min-height: 0px; padding-left: 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; perspective-origin: 0px 0px; margin-right: 45px; \"\u003e\u003cspan style=\"margin-right: 0px; \"\u003eoutput = [0.0000 3.1416 6.2832]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 10px; text-align: left; transform-origin: 309px 10.5px; white-space: pre-wrap; perspective-origin: 309px 10.5px; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003esince the sinus function between [0 2pi] is zero for [0 pi 2pi]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function output = find_zeros(fcn,lb,ub)\r\noutput = lb*up;","test_suite":"%% Test sinus between [0 2pi]\r\nassert(all(abs(find_zeros(@sin,0,2*pi) -[0 pi 2*pi])\u003c1e-9))\r\n\r\n%% [0 pi]\r\nassert(all(abs(find_zeros(@sin,0,pi) -[0 pi ])\u003c1e-9))\r\n\r\n%% [0 pi/3] \r\nassert(all(abs(find_zeros(@sin,0,pi/3) -0) \u003c1e-9))\r\n\r\n%% Test cos between [0 2pi]\r\nassert(all(abs(find_zeros(@cos,0,2*pi) -[pi/2 3*pi/2])\u003c1e-9))\r\n\r\n%% Test tan between [0 pi/4]\r\nassert(all(abs(find_zeros(@tan,0,pi/4) -0)\u003c1e-9))","published":true,"deleted":false,"likes_count":1,"comments_count":7,"created_by":639,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":24,"test_suite_updated_at":"2020-09-29T14:30:54.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2012-07-17T07:42:46.000Z","updated_at":"2026-01-03T12:33:06.000Z","published_at":"2012-07-17T08:10:10.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe aim is to find all the zeros of a function within an interval.\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\u003eInput\u003c/w:t\u003e\u003c/w:r\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=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003efcn : an anonymous function (@sin, @cos...)\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003elb : lower bound\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eub :upper bound\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\u003eOutput\u003c/w:t\u003e\u003c/w:r\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=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eoutput : vector with unique values for which the input function return zeroThe values must be sorted in ascending order.\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[output = find_zeros(@sin,0,2*pi) will return :\\n\\noutput = [0.0000 3.1416 6.2832]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003esince the sinus function between [0 2pi] is zero for [0 pi 2pi]\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":61088,"title":"Covering a four-pointed star polygon by circles","description":"Given the area, A, of a star polygon formed by the rectangle, with dimensions L×2L, and four triangles, with height h from their bases to the vertices, consider the circles that cover the distances between opposite vertices (cf. figure below).\r\nGiven (A,h), return the 2x2 matrix M = [A1/π a1; A2/π a2], where\r\nin the first row (i=1), A1 stands for the area of the circle that covers the minimum distance (cf. left figure), and a1 stands for the logical 1 if A1 is smaller than or reaches the area A or a1 stands for the logical 0 if A1 surpasses A;\r\nin the second row (i=2), A2 stands for the area of the circle that covers the maximum distance (cf. right figure), and a2 has the same previous false-true meaning relative to the areas A2 and A. Obviously, that A2 \u003e A holds true, then a2 = 0.\r\ninput: (A, h)\r\noutput: M = [A1/π a1; A2/π 0]\r\n","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: 748.987px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 408px 374.487px; transform-origin: 408px 374.494px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; 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: 384px 21px; text-align: left; transform-origin: 384px 21px; 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=\"\"\u003eGiven the area, \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, of a star polygon formed by the rectangle, with dimensions \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eL\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e×\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e2L\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and four triangles, with height \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eh\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e from their bases to the vertices, consider the circles that cover the distances between opposite vertices (cf. figure below).\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: 384px 10.5px; text-align: left; transform-origin: 384px 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=\"\"\u003eGiven \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(A,h)\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, return 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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e2\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ex\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e2\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e matrix \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eM = [A1/π a1; A2/π a2]\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, where\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 102.188px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 391px 51.0875px; transform-origin: 391px 51.0938px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 40.875px; 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 20.4375px; text-align: left; transform-origin: 363px 20.4375px; 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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ein the first row \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(i=1)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the area of the circle that covers the minimum distance (cf. left figure), and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ea1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the logical \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is smaller than or reaches the area \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e or \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ea1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the logical \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e0\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e surpasses \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 61.3125px; 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 30.65px; text-align: left; transform-origin: 363px 30.6562px; 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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ein the second row \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(i=2)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the area of the circle that covers the maximum distance (cf. right figure), and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ea2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e has the same previous false-true meaning relative to the areas \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Obviously, that A2 \u0026gt; A holds true, then \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ea2 = 0\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\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: 384px 10.5px; text-align: left; transform-origin: 384px 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-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003einput:\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(A, h)\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: 384px 10.5px; text-align: left; transform-origin: 384px 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-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eoutput:\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eM = [A1/π a1; A2/π 0]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 484.8px; 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: 384px 242.4px; text-align: left; transform-origin: 384px 242.4px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cimg class=\"imageNode\" width=\"601\" height=\"479\" style=\"vertical-align: baseline;width: 601px;height: 479px\" src=\"data:image/png;base64,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\" alt=\"Covering by circles\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function M = covering_by_circles(A,h)\r\n M = x;\r\nend","test_suite":"%%\r\nA = 27;\r\nh = 1;\r\nM_correct = [6.25 1; 16 0];\r\nassert(isequal(covering_by_circles(A,h),M_correct))\r\n\r\n%%\r\nA = 36;\r\nh = 2;\r\nM_correct = [12.25 0; 25 0];\r\nassert(isequal(covering_by_circles(A,h),M_correct))\r\n\r\n%%\r\nA = 56;\r\nh = 2;\r\nM_correct = [16 1; 36 0];\r\nassert(isequal(covering_by_circles(A,h),M_correct))\r\n\r\n%%\r\nfiletext = fileread('covering_by_circles.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || ...\r\n contains(filetext, 'str2num'); \r\nassert(~illegal)\r\n\r\n%%\r\nA = 68;\r\nh = 1.2;\r\nM_correct = [13.69 1; 38.44 0];\r\nassert(all(isapprox(covering_by_circles(A,h),M_correct), 'all'))\r\n\r\n%%\r\nA = 89;\r\nh = 2.6;\r\nM_correct = [26.01 1; 57.76 0];\r\nassert(all(isapprox(covering_by_circles(A,h),M_correct), 'all'))","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":4993982,"edited_by":4993982,"edited_at":"2025-11-30T13:14:56.000Z","deleted_by":null,"deleted_at":null,"solvers_count":9,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-11-29T14:26:03.000Z","updated_at":"2026-03-22T14:02:11.000Z","published_at":"2025-11-30T13:14:56.000Z","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\u003eGiven the area, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, of a star polygon formed by the rectangle, with dimensions \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eL\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2L\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, and four triangles, with height \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e from their bases to the vertices, consider the circles that cover the distances between opposite vertices (cf. figure below).\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 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(A,h)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, return the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e matrix \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eM = [A1/π a1; A2/π a2]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, where\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ein the first row \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(i=1)\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the area of the circle that covers the minimum distance (cf. left figure), and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the logical \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is smaller than or reaches the area \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e or \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the logical \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e0\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e surpasses \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\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=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ein the second row \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(i=2)\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the area of the circle that covers the maximum distance (cf. right figure), and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e has the same previous false-true meaning relative to the areas \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. Obviously, that A2 \u0026gt; A holds true, then \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea2 = 0\u003c/w:t\u003e\u003c/w:r\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:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003einput:\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(A, h)\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:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eoutput:\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eM = [A1/π a1; A2/π 0]\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=\\\"479\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"601\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"Covering by circles\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":44369,"title":"Circle/Pentagon Overlap","description":"Your function will be provided with the five vertices of a pentagon (p) as well as the center point (cp) and radius (r) of a circle. The function should return the number of pentagon vertices that lie within or on the circle. The tolerance for lying on the circle is 0.02.","description_html":"\u003cp\u003eYour function will be provided with the five vertices of a pentagon (p) as well as the center point (cp) and radius (r) of a circle. The function should return the number of pentagon vertices that lie within or on the circle. The tolerance for lying on the circle is 0.02.\u003c/p\u003e","function_template":"function y = circle_pentagon_overlap(p,cp,r)\r\n y = 0;\r\nend","test_suite":"%%\r\np = [0,5; 4.76,1.55; 2.94,-4.05; -2.94,-4.05; -4.76,1.55];\r\ncp = [0,0];\r\nr = 5;\r\ny_correct = 5;\r\nassert(isequal(circle_pentagon_overlap(p,cp,r),y_correct))\r\n\r\n%%\r\np = [0,5; 4.76,1.55; 2.94,-4.05; -2.94,-4.05; -4.76,1.55];\r\ncp = [0,0];\r\nr = 4;\r\ny_correct = 0;\r\nassert(isequal(circle_pentagon_overlap(p,cp,r),y_correct))\r\n\r\n%%\r\np = [0,5; 4.76,1.55; 2.94,-4.05; -2.94,-4.05; -4.76,1.55];\r\ncp = [0,0];\r\nr = 15;\r\ny_correct = 5;\r\nassert(isequal(circle_pentagon_overlap(p,cp,r),y_correct))\r\n\r\n%%\r\np = [0,5; 4.76,1.55; 2.94,-4.05; -2.94,-4.05; -4.76,1.55];\r\ncp = [2,0];\r\nr = 5;\r\ny_correct = 2;\r\nassert(isequal(circle_pentagon_overlap(p,cp,r),y_correct))\r\n\r\n%%\r\np = [0,5; 4.76,1.55; 2.94,-4.05; -2.94,-4.05; -4.76,1.55];\r\ncp = [2,0.75];\r\nr = 5;\r\ny_correct = 3;\r\nassert(isequal(circle_pentagon_overlap(p,cp,r),y_correct))\r\n\r\n%%\r\np = [0,5; 4.76,1.55; 2.94,-4.05; -2.94,-4.05; -4.76,1.55];\r\ncp = [7.5,0];\r\nr = 5;\r\ny_correct = 1;\r\nassert(isequal(circle_pentagon_overlap(p,cp,r),y_correct))\r\n\r\n%%\r\np = [0,5; 4.76,1.55; 2.94,-4.05; -2.94,-4.05; -4.76,1.55];\r\ncp = [0,-5];\r\nr = 9;\r\ny_correct = 4;\r\nassert(isequal(circle_pentagon_overlap(p,cp,r),y_correct))\r\n\r\n%%\r\np = [23.66,11.42; 24.37,5.58; 19.05,3.10; 15.04,7.40; 17.89,12.54];\r\ncp = [20,8];\r\nr = 5;\r\ny_correct = 5;\r\nassert(isequal(circle_pentagon_overlap(p,cp,r),y_correct))\r\n\r\n%%\r\np = [23.66,11.42; 24.37,5.58; 19.05,3.10; 15.04,7.40; 17.89,12.54];\r\ncp = [19,8];\r\nr = 5;\r\ny_correct = 3;\r\nassert(isequal(circle_pentagon_overlap(p,cp,r),y_correct))\r\n\r\n%%\r\np = [23.66,11.42; 24.37,5.58; 19.05,3.10; 15.04,7.40; 17.89,12.54];\r\ncp = [19.5,10];\r\nr = 5;\r\ny_correct = 2;\r\nassert(isequal(circle_pentagon_overlap(p,cp,r),y_correct))\r\n\r\n%%\r\np = [23.66,11.42; 24.37,5.58; 19.05,3.10; 15.04,7.40; 17.89,12.54];\r\ncp = [19.5,10];\r\nr = 6.6;\r\ny_correct = 4;\r\nassert(isequal(circle_pentagon_overlap(p,cp,r),y_correct))\r\n\r\n%%\r\np = [23.66,11.42; 24.37,5.58; 19.05,3.10; 15.04,7.40; 17.89,12.54];\r\ncp = [19.5,10];\r\nr = 7;\r\ny_correct = 5;\r\nassert(isequal(circle_pentagon_overlap(p,cp,r),y_correct))\r\n\r\n%%\r\np = [30.94,36.26; 35.61,27.09; 28.34,19.82; 19.17,24.49; 20.78,34.65];\r\ncp = [26.97,28.45];\r\nr = 8.75;\r\ny_correct = 5;\r\nassert(isequal(circle_pentagon_overlap(p,cp,r),y_correct))\r\n\r\n%%\r\np = [30.94,36.26; 35.61,27.09; 28.34,19.82; 19.17,24.49; 20.78,34.65];\r\ncp = [26.97,28.45];\r\nr = 8;\r\ny_correct = 0;\r\nassert(isequal(circle_pentagon_overlap(p,cp,r),y_correct))","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":26769,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":328,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":34,"created_at":"2017-10-10T18:44:43.000Z","updated_at":"2026-04-07T14:02:38.000Z","published_at":"2017-10-16T01:45:09.000Z","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\u003eYour function will be provided with the five vertices of a pentagon (p) as well as the center point (cp) and radius (r) of a circle. The function should return the number of pentagon vertices that lie within or on the circle. The tolerance for lying on the circle is 0.02.\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":45349,"title":"Area-07","description":"This is a follow up of the problem \r\n\r\n\u003chttps://www.mathworks.com/matlabcentral/cody/problems/45341-area-06\u003e\r\n\r\nin this case, find the total area of the lobes i.e. the area confined by the arcs drawn.","description_html":"\u003cp\u003eThis is a follow up of the problem\u003c/p\u003e\u003cp\u003e\u003ca href = \"https://www.mathworks.com/matlabcentral/cody/problems/45341-area-06\"\u003ehttps://www.mathworks.com/matlabcentral/cody/problems/45341-area-06\u003c/a\u003e\u003c/p\u003e\u003cp\u003ein this case, find the total area of the lobes i.e. the area confined by the arcs drawn.\u003c/p\u003e","function_template":"function c= quarter_circle_02(r)\r\n y = x;\r\nend","test_suite":"%%\r\nr = 25;\r\nassert(abs(quarter_circle_02(r)-516.5287)\u003c0.001)\r\n%%\r\nr = 55.67;\r\nassert(abs(quarter_circle_02(r)-2561.2789)\u003c0.001)\r\n%%\r\nr = 42;\r\nassert(abs(quarter_circle_02(r)-1457.8505)\u003c0.001)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":4,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":18,"test_suite_updated_at":"2020-02-21T08:43:29.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-02-21T08:40:42.000Z","updated_at":"2026-03-11T09:28:14.000Z","published_at":"2020-02-21T08:43:29.000Z","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\u003eThis is a follow up of the problem\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:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/45341-area-06\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026lt;https://www.mathworks.com/matlabcentral/cody/problems/45341-area-06\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ein this case, find the total area of the lobes i.e. the area confined by the arcs drawn.\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":554,"title":"Is the Point in a Circle?","description":"Check whether a point or multiple points is/are in a circle centered at point (x0, y0) with radius r. \r\n\r\n Points = [x, y]; \r\n circle = (x0, y0, r)\r\n\r\nReturn true or false for each point tested","description_html":"\u003cp\u003eCheck whether a point or multiple points is/are in a circle centered at point (x0, y0) with radius r.\u003c/p\u003e\u003cpre\u003e Points = [x, y]; \r\n circle = (x0, y0, r)\u003c/pre\u003e\u003cp\u003eReturn true or false for each point tested\u003c/p\u003e","function_template":"function y = your_fcn_name(Points, circle)\r\n y = true;\r\nend","test_suite":"%%\r\ncircle = [0, 0, 1]; Points = [0, 0.5]\r\ny_correct = 1;\r\nassert(isequal(your_fcn_name(Points,circle),y_correct))\r\n\r\n%%\r\ncircle = [0, 0, 1]; Points = [0, 2]\r\ny_correct = 0;\r\nassert(isequal(your_fcn_name(Points,circle),y_correct))\r\n\r\n%%\r\ncircle = [1, 1, 1]; Points = [0, 1; 0, 0]\r\ny_correct = [1; 0];\r\nassert(isequal(your_fcn_name(Points,circle),y_correct))","published":true,"deleted":false,"likes_count":5,"comments_count":8,"created_by":2906,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":631,"test_suite_updated_at":"2012-04-03T14:19:00.000Z","rescore_all_solutions":false,"group_id":17,"created_at":"2012-04-03T08:03:10.000Z","updated_at":"2026-03-13T05:02:27.000Z","published_at":"2012-04-03T08:03:10.000Z","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\u003eCheck whether a point or multiple points is/are in a circle centered at point (x0, y0) with radius r.\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[ Points = [x, y]; \\n circle = (x0, y0, r)]]\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\u003eReturn true or false for each point tested\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":58239,"title":"Find circular arc length, sector area and segment area","description":"Given a circular arc passing through the points P = [ x1 y1 ] and Q = [ x2 y2 ] such that the center angle of the arc (in degrees) is theta, please return \r\nthe arc length L, \r\nthe area Asec of the circular sector defined by the arc, and\r\nthe area Aseg of the circular segment defined by the arc and the straight line connecting its end points P and Q.\r\nRelated: \r\nproblem 44910\r\nproblem 52589","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: 208.188px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 104.094px; transform-origin: 407px 104.094px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; 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 21px; text-align: left; transform-origin: 384px 21px; 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=\"\"\u003eGiven a circular arc passing through the points \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-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eP = [ x1 y1 ]\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=\"\"\u003e and \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-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eQ = [ x2 y2 ]\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=\"\"\u003e such that the center angle of the arc (in degrees) is \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-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003etheta\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=\"\"\u003e, please return \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003col style=\"block-size: 64.3125px; 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 32.1562px; transform-origin: 391px 32.1562px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 21.4375px; 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 10.7188px; text-align: left; transform-origin: 363px 10.7188px; 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=\"\"\u003ethe arc length \u003c/span\u003e\u003c/span\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=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eL,\u003c/span\u003e\u003c/span\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=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 21.4375px; 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 10.7188px; text-align: left; transform-origin: 363px 10.7188px; 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=\"\"\u003ethe area \u003c/span\u003e\u003c/span\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=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eAsec\u003c/span\u003e\u003c/span\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=\"\"\u003e of the circular sector defined by the arc, and\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 21.4375px; 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 10.7188px; text-align: left; transform-origin: 363px 10.7188px; 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=\"\"\u003ethe area \u003c/span\u003e\u003c/span\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=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eAseg\u003c/span\u003e\u003c/span\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=\"\"\u003e of the circular segment defined by the arc and the straight line connecting its end points \u003c/span\u003e\u003c/span\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=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eP\u003c/span\u003e\u003c/span\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=\"\"\u003e and \u003c/span\u003e\u003c/span\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=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eQ\u003c/span\u003e\u003c/span\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=\"\"\u003e.\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=\"\"\u003eRelated: \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 40.875px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 20.4375px; transform-origin: 391px 20.4375px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"background-position: 0px 50%; 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 10.2188px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/44910\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eproblem 44910\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/li\u003e\u003cli style=\"background-position: 0px 50%; 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 10.2188px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/52589-circular-segment-area\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eproblem 52589\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/li\u003e\u003c/ul\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [L, Asec, Aseg] = arcLengthAndAreas(P, Q, theta)\r\n\r\nend","test_suite":"%%\r\n[L, Asec, Aseg] = arcLengthAndAreas([1 0], [0 1], 90);\r\nassert(isequal(round([L Asec Aseg], 4), [1.5708 0.7854 0.2854]))\r\n\r\n%%\r\n[L, Asec, Aseg] = arcLengthAndAreas([2 1], [3 5], 60);\r\nassert(isequal(round([L Asec Aseg], 4), [4.3177 8.9012 1.5400]))\r\n\r\n%%\r\n[L, Asec, Aseg] = arcLengthAndAreas([-1.8 2.7], [0.3 0.3], 32);\r\nassert(isequal(round([L Asec Aseg], 4), [3.2309 9.3451 0.4783]))\r\n\r\n%%\r\n[L, Asec, Aseg] = arcLengthAndAreas([355/113 22/7], [333/106 -103993/33012], 3);\r\nassert(isequal(round([L Asec Aseg], 4), [6.2937 378.258 0.1728]))\r\n\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":332395,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":10,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-05-01T10:12:09.000Z","updated_at":"2023-05-01T10:12:09.000Z","published_at":"2023-05-01T10:12:09.000Z","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 a circular arc passing through the points \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eP = [ x1 y1 ]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eQ = [ x2 y2 ]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003e such that the center angle of the arc (in degrees) is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003etheta\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003e, please return \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:rPr/\u003e\u003cw:t\u003ethe arc length \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eL,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw: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=\\\"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:rPr/\u003e\u003cw:t\u003ethe area \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eAsec\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003e of the circular sector defined by the arc, and\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:rPr/\u003e\u003cw:t\u003ethe area \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eAseg\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003e of the circular segment defined by the arc and the straight line connecting its end points \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eP\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw: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:t\u003eRelated: \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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/44910\\\"\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003eproblem 44910\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/52589-circular-segment-area\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eproblem 52589\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":54020,"title":"Circle Division","description":"A circle can be divided into 2 sections, by placing 2 points in arbitrary locations along its circumference and drawing a straight line between them. By adding more points and drawing a straight line from each point to every other point, the circle can be divided into more sections. For example, 3 points would divide the circle into 4 sections and 4 points into 8 sections.\r\nGiven a positive integer, n, representing the number of arbitrarily placed points on the circumference of a circle, return d, i and s, the number of straight lines, the number of intersections and the number of sections into which the circle is divided, respectively.\r\nThe only restriction on the positions of the points is that they must be placed such that no 3 lines can share a single intersection.\r\nn will always be greater than 3.\r\nExample:\r\nn = 4;\r\nd = 6\r\ni = 1\r\ns = 8\r\nExample:\r\nn = 5;\r\nd = 10\r\ni = 5\r\ns = 16","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: 460.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 230.25px; transform-origin: 407px 230.25px; 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: 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=\"\"\u003eA circle can be divided into 2 sections, by placing 2 points in arbitrary locations along its circumference and drawing a straight line between them. By adding more points and drawing a straight line from each point to every other point, the circle can be divided into more sections. For example, 3 points would divide the circle into 4 sections and 4 points into 8 sections.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eGiven a positive integer, n, representing the number of arbitrarily placed points on the circumference of a circle, return d, i and s, the number of straight lines, the number of intersections and the number of sections into which the circle is divided, respectively.\u003c/span\u003e\u003c/span\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: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; 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=\"\"\u003eThe only restriction on the positions of the points is that they must be placed such that no 3 lines can share a single intersection.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003en will always be greater than 3.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eExample:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 81.75px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 40.875px; transform-origin: 404px 40.875px; 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: 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 10.2188px; transform-origin: 404px 10.2188px; 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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003en = 4;\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: 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 10.2188px; transform-origin: 404px 10.2188px; 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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ed = 6\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: 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 10.2188px; transform-origin: 404px 10.2188px; 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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ei = 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: 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 10.2188px; transform-origin: 404px 10.2188px; 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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003es = 8\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eExample:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 81.75px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 40.875px; transform-origin: 404px 40.875px; 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: 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 10.2188px; transform-origin: 404px 10.2188px; 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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003en = 5;\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: 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 10.2188px; transform-origin: 404px 10.2188px; 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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ed = 10\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: 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 10.2188px; transform-origin: 404px 10.2188px; 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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ei = 5\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: 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 10.2188px; transform-origin: 404px 10.2188px; 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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003es = 16\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [d,i,s] = your_fcn_name(n)\r\n d = 1;\r\n i = 1;\r\n s = 1;\r\nend","test_suite":"%%\r\nfiletext = fileread('your_fcn_name.m');\r\nassert(isempty(strfind(filetext,'eval')))\r\nassert(isempty(strfind(filetext,'echo')))\r\nassert(isempty(strfind(filetext,'switch')))\r\nassert(isempty(strfind(filetext,'regexp')))\r\n\r\n%%\r\n[d,i,s] = your_fcn_name(4);\r\nassert(isequal([d i s],[6 1 8]))\r\n\r\n%%\r\n[d,i,s] = your_fcn_name(5);\r\nassert(isequal([d i s],[10 5 16]))\r\n\r\n%%\r\n[d,i,s] = your_fcn_name(7);\r\nassert(isequal([d i s],[21 35 57]))\r\n\r\n%%\r\n[d,i,s] = your_fcn_name(13);\r\nassert(isequal([d i s],[78 715 794]))\r\n\r\n%%\r\n[d,i,s] = your_fcn_name(53);\r\nassert(isequal([d i s],[1378 292825 294204]))\r\n\r\n%%\r\n[d,i,s] = your_fcn_name(100);\r\nassert(isequal([d i s],[4950 3921225 3926176]))","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":15521,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":8,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-02-18T20:04:46.000Z","updated_at":"2025-12-02T20:17:27.000Z","published_at":"2022-02-18T20:04:46.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA circle can be divided into 2 sections, by placing 2 points in arbitrary locations along its circumference and drawing a straight line between them. By adding more points and drawing a straight line from each point to every other point, the circle can be divided into more sections. For example, 3 points would divide the circle into 4 sections and 4 points into 8 sections.\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 a positive integer, n, representing the number of arbitrarily placed points on the circumference of a circle, return d, i and s, the number of straight lines, the number of intersections and the number of sections into which the circle is divided, respectively.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe only restriction on the positions of the points is that they must be placed such that no 3 lines can share a single intersection.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003en will always be greater than 3.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\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[n = 4;\\nd = 6\\ni = 1\\ns = 8]]\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\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[n = 5;\\nd = 10\\ni = 5\\ns = 16]]\u003e\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":45476,"title":"Inscribed circle in a triangle","description":"A circle of radius r is inscribed in a triangle. \r\n\r\nIn the figure, Ac=x and Bc=y. \r\nvalues of x \u0026 y are given.\r\n\r\nFind the area of the triangle.\r\n\r\n\u003chttps://www.analyzemath.com/Geometry_calculators/inscribed.gif\u003e\r\n\r\n\r\n \r\n","description_html":"\u003cp\u003eA circle of radius r is inscribed in a triangle.\u003c/p\u003e\u003cp\u003eIn the figure, Ac=x and Bc=y. \r\nvalues of x \u0026 y are given.\u003c/p\u003e\u003cp\u003eFind the area of the triangle.\u003c/p\u003e\u003cp\u003e\u003ca href = \"https://www.analyzemath.com/Geometry_calculators/inscribed.gif\"\u003ehttps://www.analyzemath.com/Geometry_calculators/inscribed.gif\u003c/a\u003e\u003c/p\u003e","function_template":"function y = ins_cir_tri(x,y,r)","test_suite":"%%\r\nassert(isequal(ins_cir_tri(20,30,10),600))\r\n\r\n%%\r\nassert(isequal(ins_cir_tri(15,10,5),150))\r\n\r\n%%\r\nassert(abs(ins_cir_tri(25,10,5)-194.4444)\u003c0.001)\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":4,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":14,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-04-24T17:06:12.000Z","updated_at":"2020-05-11T00:46:34.000Z","published_at":"2020-04-24T17:06:12.000Z","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\u003eA circle of radius r is inscribed in a triangle.\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\u003eIn the figure, Ac=x and Bc=y. values of x \u0026amp; y are 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\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind the area of the triangle.\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:hyperlink w:docLocation=\\\"https://www.analyzemath.com/Geometry_calculators/inscribed.gif\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026lt;https://www.analyzemath.com/Geometry_calculators/inscribed.gif\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\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":61091,"title":"Slicing a 4-pointed star polygon","description":"Given the area, A, of a 4-pointed star polygon formed by the rectangle, with dimensions L×2L, and four triangles, with height h from their bases to the vertices, consider the area, A_r, of the circle that covers the shorter of the two distances between opposite vertices (cf. left figure below) and slice the star polygon by 8 slices (cf. right figure below). \r\nGiven (A,h), find the 9×2 matrix, M = [A1 a1; A2 a2; ...; A8 a8; A_r/π n], where\r\nin the first row (i=1), A1 stands for the area of one 'blue' slice of the 4-pointed star polygon (cf. right figure), and a1 stands for the logical 1 if A1 does not exceed the circle's area, A_r, or a1 stands for the logical 0 otherwise;\r\nin the second row (i=2), A2 stands for the area of two slices (cumulative sum of 'blue' and 'green' slices by consecutive vertices), and a2 has the same previous false-true meaning relative to the areas A2 and A_r;\r\nand so on, until last slice of the 4-pointed star polygon;\r\nin the last row (i=9), A_r is the area of the circle, and n stands for the maximum number of slices that their cumulative area does not exceed the circle area.\r\nHint: The slices of the 4-pointed star polygon are not congruent among each other.\r\ninput: (A, h)\r\noutput: M = [A1 a1; A2 a2; ...; A8 a8; A_r/pi n]\r\n","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: 840.862px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 408px 420.425px; transform-origin: 408px 420.431px; 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; padding-inline-start: 0px; padding-left: 0px; 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; \"\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 area, \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, of a 4-pointed star polygon formed by the rectangle, with dimensions \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eL\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e×\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e2L\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and four triangles, with height \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eh\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e from their bases to the vertices, consider the area, \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA_r, \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eof the circle that covers the shorter of the two distances between opposite vertices (cf. left figure below) and slice the star polygon by 8 slices (cf. right figure below). \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: 384px 10.5px; text-align: left; transform-origin: 384px 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=\"\"\u003eGiven \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(A,h)\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, find 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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e9\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e×\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e2\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e matrix, \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eM = [A1 a1; A2 a2; ...; A8 a8; A_r/π n]\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, where\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 143.062px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 391px 71.525px; transform-origin: 391px 71.5312px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 40.875px; 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 20.4375px; text-align: left; transform-origin: 363px 20.4375px; 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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ein the first row \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(i=1)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the area of one 'blue' slice of the 4-pointed star polygon (cf. right figure), and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ea1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the logical \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e does not exceed the circle's area, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA_r,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e or \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ea1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the logical \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e0\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e otherwise;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 40.875px; 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 20.4375px; text-align: left; transform-origin: 363px 20.4375px; 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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ein the second row \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(i=2)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the area of two slices (cumulative sum of 'blue' and 'green' slices by consecutive vertices), and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ea2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e has the same previous false-true meaning relative to the areas \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA_r\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\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-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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand so on, until last slice of the 4-pointed star polygon;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 40.875px; 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 20.4375px; text-align: left; transform-origin: 363px 20.4375px; 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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ein the last row \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(i=9)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA_r\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the area of the circle, and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the maximum number of slices that their cumulative area does not exceed the circle area.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\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: 384px 10.5px; text-align: left; transform-origin: 384px 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=\"\"\u003eHint: The slices of the 4-pointed star polygon are not congruent among each other.\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: 384px 10.5px; text-align: left; transform-origin: 384px 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-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003einput:\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(A, h)\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: 384px 10.5px; text-align: left; transform-origin: 384px 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-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eoutput:\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eM = [A1 a1; A2 a2; ...; A8 a8; A_r/pi n]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 484.8px; 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: 384px 242.4px; text-align: left; transform-origin: 384px 242.4px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cimg class=\"imageNode\" width=\"601\" height=\"479\" style=\"vertical-align: baseline;width: 601px;height: 479px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function M = slicing_star(A,h)\r\n M = x;\r\nend","test_suite":"%%\r\nA = 27;\r\nh = 1;\r\nM_correct = [3 1; 6.75 1; 10.5 1; 13.5 1; 16.5 1; 20.25 0; 24 0; 27 0; 6.25 5];\r\nassert(isequal(slicing_star(A,h),M_correct))\r\n\r\n%%\r\nA = 36;\r\nh = 2;\r\nM_correct = [3.75 1; 9 1; 14.25 1; 18 1; 21.75 1; 27 1; 32.25 1; 36 1; 12.25 8];\r\nassert(isequal(slicing_star(A,h),M_correct))\r\n\r\n%%\r\nfiletext = fileread('slicing_star.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || ...\r\n contains(filetext, 'str2num'); \r\nassert(~illegal)\r\n\r\n%%\r\nA = 68;\r\nh = 1.2;\r\nM_correct = [7.75 1; 17 1; 26.25 1; 34 1; 41.75 1; 51 0; 60.25 0; 68 0; 13.69 5];\r\nassert(all(isapprox(slicing_star(A,h),M_correct), 'all'))\r\n\r\n%%\r\nA = 89;\r\nh = 2.6;\r\nM_correct = [9.5 1; 22.25 1; 35 1; 44.5 1; 54 1; 66.75 1; 79.5 1; 89 0; 26.01 7];\r\nassert(all(isapprox(slicing_star(A,h),M_correct), 'all'))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":4993982,"edited_by":4993982,"edited_at":"2025-12-08T13:42:41.000Z","deleted_by":null,"deleted_at":null,"solvers_count":7,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-12-03T13:58:16.000Z","updated_at":"2025-12-19T15:03:36.000Z","published_at":"2025-12-08T13:42:41.000Z","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 area, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, of a 4-pointed star polygon formed by the rectangle, with dimensions \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eL\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2L\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, and four triangles, with height \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e from their bases to the vertices, consider the area, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA_r, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eof the circle that covers the shorter of the two distances between opposite vertices (cf. left figure below) and slice the star polygon by 8 slices (cf. right figure below). \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 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(A,h)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, find the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e9\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e matrix, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eM = [A1 a1; A2 a2; ...; A8 a8; A_r/π n]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, where\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ein the first row \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(i=1)\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the area of one 'blue' slice of the 4-pointed star polygon (cf. right figure), and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the logical \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e does not exceed the circle's area, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA_r,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e or \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the logical \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e0\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e otherwise;\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ein the second row \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(i=2)\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the area of two slices (cumulative sum of 'blue' and 'green' slices by consecutive vertices), and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e has the same previous false-true meaning relative to the areas \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA_r\u003c/w:t\u003e\u003c/w:r\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=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eand so on, until last slice of the 4-pointed star polygon;\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ein the last row \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(i=9)\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA_r\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the area of the circle, and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the maximum number of slices that their cumulative area does not exceed the circle area.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHint: The slices of the 4-pointed star polygon are not congruent among each other.\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:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003einput:\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(A, h)\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:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eoutput:\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eM = [A1 a1; A2 a2; ...; A8 a8; A_r/pi n]\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=\\\"479\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"601\\\"/\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\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":45353,"title":"Kissing Circles-01","description":"Three circles are mutually tangent to each other and also to a line.\r\n\r\nfind the radius of the smallest circle. The radius of the other two is given.\r\n\r\n\u003chttps://serving.photos.photobox.com/00891841e6d4d70de3c348ebc93da085dcd5f697751ccee39f1f6f7aae93fde98bbe603e.jpg\u003e","description_html":"\u003cp\u003eThree circles are mutually tangent to each other and also to a line.\u003c/p\u003e\u003cp\u003efind the radius of the smallest circle. The radius of the other two is given.\u003c/p\u003e\u003cp\u003e\u003ca href = \"https://serving.photos.photobox.com/00891841e6d4d70de3c348ebc93da085dcd5f697751ccee39f1f6f7aae93fde98bbe603e.jpg\"\u003ehttps://serving.photos.photobox.com/00891841e6d4d70de3c348ebc93da085dcd5f697751ccee39f1f6f7aae93fde98bbe603e.jpg\u003c/a\u003e\u003c/p\u003e","function_template":"function a = kissing_circles_01(x,y)\r\n y = x;\r\nend","test_suite":"%%\r\nassert(abs(kissing_circles_01(5,5)-1.25)\u003c0.001)\r\n%%\r\nassert(abs(kissing_circles_01(5,2.5)-0.8578)\u003c0.001)\r\n%%\r\nassert(abs(kissing_circles_01(10,6)-1.9052)\u003c0.001)\r\n%%\r\nassert(abs(kissing_circles_01(8,23)-3.1653)\u003c0.001)\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":17,"test_suite_updated_at":"2020-02-22T17:41:42.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-02-22T17:23:38.000Z","updated_at":"2026-03-16T11:41:00.000Z","published_at":"2020-02-22T17:41:42.000Z","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\",\"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\u003eThree circles are mutually tangent to each other and also to a line.\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\u003efind the radius of the smallest circle. The radius of the other two is 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\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://serving.photos.photobox.com/00891841e6d4d70de3c348ebc93da085dcd5f697751ccee39f1f6f7aae93fde98bbe603e.jpg\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026lt;https://serving.photos.photobox.com/00891841e6d4d70de3c348ebc93da085dcd5f697751ccee39f1f6f7aae93fde98bbe603e.jpg\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\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":44368,"title":"Inscribed Pentagon?","description":"Your function will be provided with the five vertices of a pentagon (p) as well as the center point (cp) and radius (r) of a circle. The pentagon will be centered about the circle. The function should return one of the following values:\r\n\r\n 0: the pentagon is completely enclosed within the circle but is not inscribed\r\n 1: the pentagon is inscribed in the circle (within ±0.02)\r\n 2: the vertices of the pentagon extend beyond the circle\r\n\r\nPoints will be rounded to the nearest hundredth. See the test cases for examples.","description_html":"\u003cp\u003eYour function will be provided with the five vertices of a pentagon (p) as well as the center point (cp) and radius (r) of a circle. The pentagon will be centered about the circle. The function should return one of the following values:\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003e0: the pentagon is completely enclosed within the circle but is not inscribed\r\n1: the pentagon is inscribed in the circle (within ±0.02)\r\n2: the vertices of the pentagon extend beyond the circle\r\n\u003c/pre\u003e\u003cp\u003ePoints will be rounded to the nearest hundredth. See the test cases for examples.\u003c/p\u003e","function_template":"function y = inscribed_pentagon(p,cp,r)\r\n y = 0;\r\nend","test_suite":"%%\r\np = [0,5; 4.76,1.55; 2.94,-4.05; -2.94,-4.05; -4.76,1.55];\r\ncp = [0,0];\r\nr = 5;\r\ny_correct = 1;\r\nassert(isequal(inscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [0,6.58; 6.42,1.92; 3.97,-5.63; -3.97,-5.63; -6.42,1.92];\r\ncp = [0,0];\r\nr = 5;\r\ny_correct = 2;\r\nassert(isequal(inscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [0,4.55; 4.28,1.44; 2.65,-3.59; -2.65,-3.59; -4.28,1.44];\r\ncp = [0,0];\r\nr = 5;\r\ny_correct = 0;\r\nassert(isequal(inscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\ncp = [20,8];\r\np = [0,5; 4.76,1.55; 2.94,-4.05; -2.94,-4.05; -4.76,1.55] + repmat(cp,[5,1]);\r\nr = 5;\r\ny_correct = 1;\r\nassert(isequal(inscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\ncp = [20,8];\r\np = [0,6.58; 6.42,1.92; 3.97,-5.63; -3.97,-5.63; -6.42,1.92] + repmat(cp,[5,1]);\r\nr = 5;\r\ny_correct = 2;\r\nassert(isequal(inscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\ncp = [20,8];\r\np = [0,4.55; 4.28,1.44; 2.65,-3.59; -2.65,-3.59; -4.28,1.44] + repmat(cp,[5,1]);\r\nr = 5;\r\ny_correct = 0;\r\nassert(isequal(inscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [23.66,11.42; 24.37,5.58; 19.05,3.10; 15.04,7.40; 17.89,12.54];\r\ncp = [20,8];\r\nr = 5;\r\ny_correct = 1;\r\nassert(isequal(inscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [25.01,12.47; 25.98,4.58; 18.78,1.23; 13.37,7.03; 17.22,13.97];\r\ncp = [20,8];\r\nr = 5;\r\ny_correct = 2;\r\nassert(isequal(inscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [23.27,11.12; 23.92,5.87; 19.12,3.63; 15.52,7.50; 18.08,12.13];\r\ncp = [20,8];\r\nr = 5;\r\ny_correct = 0;\r\nassert(isequal(inscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [30.94,36.26; 35.61,27.09; 28.34,19.82; 19.17,24.49; 20.78,34.65];\r\ncp = [26.97,28.45];\r\nr = 8.75;\r\ny_correct = 1;\r\nassert(isequal(inscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [32.54,38.78; 38.84,26.41; 29.02,16.59; 16.65,22.89; 18.83,36.61];\r\ncp = [26.97,28.45];\r\nr = 8.75;\r\ny_correct = 2;\r\nassert(isequal(inscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [30.49,35.54; 34.69,27.29; 28.14,20.74; 19.89,24.95; 21.34,34.09];\r\ncp = [26.97,28.45];\r\nr = 8.75;\r\ny_correct = 0;\r\nassert(isequal(inscribed_pentagon(p,cp,r),y_correct))","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":26769,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":307,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":34,"created_at":"2017-10-10T16:31:01.000Z","updated_at":"2026-04-07T14:00:57.000Z","published_at":"2017-10-16T01:45:09.000Z","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\u003eYour function will be provided with the five vertices of a pentagon (p) as well as the center point (cp) and radius (r) of a circle. The pentagon will be centered about the circle. The function should return one of the following values:\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[0: the pentagon is completely enclosed within the circle but is not inscribed\\n1: the pentagon is inscribed in the circle (within ±0.02)\\n2: the vertices of the pentagon extend beyond the circle]]\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\u003ePoints will be rounded to the nearest hundredth. See the test cases for examples.\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":44881,"title":"CowBoy","description":"A group of cowboys standing in circle form. They have one gun. The first cowboy shoot the cowboy beside him (second one) and give the gun to the following cowboy (third one). This cowboy will do the same. This will happen until just one cowboy is the remaining one. Write a function that you will decide the number of cowboys and the solution is the order (index) of the cowboy.","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: 84px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 42px; transform-origin: 407px 42px; 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: 384px 42px; text-align: left; transform-origin: 384px 42px; 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: 376.5px 8px; transform-origin: 376.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA group of cowboys standing in circle form. They have one gun. The first cowboy shoot the cowboy beside him (second one) and give the gun to the following cowboy (third one). This cowboy will do the same. This will happen until just one cowboy is the remaining one. Write a function that you will decide the number of cowboys and the solution is the order (index) of the cowboy.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function a = cowboy(n)\r\n a = n;\r\nend","test_suite":"%%\r\nx = 100;\r\ny_correct = 73;\r\nassert(isequal(cowboy(x),y_correct))\r\n%%\r\nx = 1000;\r\ny_correct = 977;\r\nassert(isequal(cowboy(x),y_correct))\r\n%%\r\nx = 33;\r\ny_correct = 3;\r\nassert(isequal(cowboy(x),y_correct))\r\n%%\r\nx = 555;\r\ny_correct = 87;\r\nassert(isequal(cowboy(x),y_correct))\r\n%%\r\nx = 2;\r\ny_correct = 1;\r\nassert(isequal(cowboy(x),y_correct))\r\n%%\r\nx = randi(20);\r\ny_correct = 1;\r\nassert(isequal(cowboy(2^x),y_correct))\r\n%%\r\nx = randi(20);\r\ny_correct = 2+1;\r\nx = 2^x+1;\r\nassert(isequal(cowboy(x),y_correct))","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":193666,"edited_by":223089,"edited_at":"2023-04-03T08:37:08.000Z","deleted_by":null,"deleted_at":null,"solvers_count":18,"test_suite_updated_at":"2023-04-03T08:37:08.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2019-04-09T04:35:08.000Z","updated_at":"2026-02-21T13:06:06.000Z","published_at":"2019-04-09T04:35:08.000Z","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\u003eA group of cowboys standing in circle form. They have one gun. The first cowboy shoot the cowboy beside him (second one) and give the gun to the following cowboy (third one). This cowboy will do the same. This will happen until just one cowboy is the remaining one. Write a function that you will decide the number of cowboys and the solution is the order (index) of the cowboy.\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":45338,"title":"Area-04","description":"The dimension of a rectangle is given. There are two circles of equal size that are inscribed inside it.The circles are tangent to each other and to the rectangle(on the length side).\r\nFind the area of of the red shaded portion.\r\n\u003chttps://serving.photos.photobox.com/46611233ca4107f77b28dc24a18635bf81510e7898924545ca289695e8891e7b898a2ae5.jpg\u003e\r\nNb. I believe its more fun \u0026 ethical to try and figure out the answer by urself instead of just loooking for the ratio on the test suites.","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: 174px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 87px; transform-origin: 407px 87px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; 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 21px; text-align: left; transform-origin: 384px 21px; 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: 363.5px 8px; transform-origin: 363.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe dimension of a rectangle is given. There are two circles of equal size that are inscribed inside it.The circles are tangent to each other and to the rectangle(on the length side).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 134.5px 8px; transform-origin: 134.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFind the area of of the red shaded portion.\u003c/span\u003e\u003c/span\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: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://serving.photos.photobox.com/46611233ca4107f77b28dc24a18635bf81510e7898924545ca289695e8891e7b898a2ae5.jpg\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003e\u0026lt;https://serving.photos.photobox.com/46611233ca4107f77b28dc24a18635bf81510e7898924545ca289695e8891e7b898a2ae5.jpg\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: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u0026gt;\u003c/span\u003e\u003c/span\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: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; 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: 373px 8px; transform-origin: 373px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eNb. I believe its more fun \u0026amp; ethical to try and figure out the answer by urself instead of just loooking for the ratio on the test suites.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function out=inscribed_circle_4(a,b)\r\n y = x;\r\nend","test_suite":"%%\r\na=20;\r\nb=10;\r\ny_correct = 21.4602;\r\nassert(abs(inscribed_circle_4(a,b)-y_correct)\u003c0.001)\r\n\r\n%%\r\na=5;\r\nb=2;\r\ny_correct = 1.8584;\r\nassert(abs(inscribed_circle_4(a,b)-y_correct)\u003c0.001)\r\n\r\n%%\r\na=5;\r\nb=3;\r\ny_correct = [];\r\nassert(isempty(inscribed_circle_4(a,b)))\r\n\r\n%%\r\na=54*pi;\r\nb=49*pi;\r\ny_correct = [];\r\nassert(isempty(inscribed_circle_4(a,b)))\r\n\r\n%%\r\na=23.5;\r\nb=2.6;\r\ny_correct = 25.2407;\r\nassert(abs(inscribed_circle_4(a,b)-y_correct)\u003c0.001)\r\n\r\n%%\r\na=1;\r\nb=3;\r\ny_correct = [];\r\nassert(isempty(inscribed_circle_4(a,b)))\r\n\r\n%%\r\na=3;\r\nb=1;\r\ny_correct = 0.7146;\r\nassert(abs(inscribed_circle_4(a,b)-y_correct)\u003c0.001)","published":true,"deleted":false,"likes_count":1,"comments_count":4,"created_by":363598,"edited_by":223089,"edited_at":"2023-01-14T09:29:07.000Z","deleted_by":null,"deleted_at":null,"solvers_count":17,"test_suite_updated_at":"2023-01-14T09:29:07.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-02-17T07:15:57.000Z","updated_at":"2026-03-13T11:48:16.000Z","published_at":"2020-02-17T07:16:43.000Z","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\u003eThe dimension of a rectangle is given. There are two circles of equal size that are inscribed inside it.The circles are tangent to each other and to the rectangle(on the length side).\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\u003eFind the area of of the red shaded portion.\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:hyperlink w:docLocation=\\\"https://serving.photos.photobox.com/46611233ca4107f77b28dc24a18635bf81510e7898924545ca289695e8891e7b898a2ae5.jpg\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026lt;https://serving.photos.photobox.com/46611233ca4107f77b28dc24a18635bf81510e7898924545ca289695e8891e7b898a2ae5.jpg\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eNb. I believe its more fun \u0026amp; ethical to try and figure out the answer by urself instead of just loooking for the ratio on the test suites.\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":45396,"title":"Design a tubesheet for shell-and-tube heat exchangers","description":"\u003c\u003chttps://3.bp.blogspot.com/-kLSbhcCoT2I/WJIh-QVGLGI/AAAAAAAADEs/svvMzBqn4fUfI1rTCCH7Uw-QuDvxx0PxACLcB/s1600/Screenshot_669.jpg\u003e\u003e\r\n\r\nA tubesheet is a metal plate used to hold multiple tubes in place in a shell-and-tube heat exchanger. In any industrial plant, heat exchangers are used to transfer heat from one stream to another, such as for cooling or heating.\r\n\r\nIn this problem, you are given the diameter D of a metal plate which is a perfect circle. We need to punch holes in this plate where the tubes can fit in. This is done by placing the plate on a 2-D coordinate system where the center of the circle lies in the origin. As seen in the figure below, the coordinate system can be imagined as being made of square cells. _A hole can be punched in a square cell if and only if it lies completely inside the circular metal plate_. Can you help count the number of holes we can punch, given the plate's diameter?\r\n\r\nAccess the figure here: \u003chttps://drive.google.com/open?id=16fQsnGyJz-PQLF9Hw7koIKKscPu6whFM\u003e\r\n\r\nWrite a function that accepts a floating-point value, D. Output the maximum number of holes that can be punched on a plate of diameter D. You are ensured that 1 \u003c= D \u003c= 50.\r\n\r\nIn the examples above, we can see that we can punch 16 holes when D = 6, and 60 holes when D = 10.","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: 1096.51px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 548.25px; transform-origin: 407px 548.256px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 516.713px; 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 258.35px; text-align: center; transform-origin: 384px 258.356px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" src=\"data:image/JPEG;base64,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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 41.6px; 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 20.8px; text-align: left; transform-origin: 384px 20.8px; 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=\"\"\u003eA tubesheet is a metal plate used to hold multiple tubes in place in a shell-and-tube heat exchanger. In any industrial plant, heat exchangers are used to transfer heat from one stream to another, such as for cooling or heating.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 104px; 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 52px; text-align: left; transform-origin: 384px 52px; 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=\"\"\u003eIn this problem, you are given the diameter D of a metal plate which is a perfect circle. We need to punch holes in this plate where the tubes can fit in. This is done by placing the plate on a 2-D coordinate system where the center of the circle lies in the origin. As seen in the figure below, the coordinate system can be imagined as being made of square cells.\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=\"\"\u003e \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; \"\u003eA hole can be punched in a square cell if and only if it lies completely inside the circular metal plate\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=\"\"\u003e. Can you help count the number of holes we can punch, given the plate's diameter?\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.8px; 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; perspective-origin: 384px 10.4px; text-align: left; transform-origin: 384px 10.4px; 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\u003cdiv style=\"block-size: 297px; 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 148.5px; text-align: left; transform-origin: 384px 148.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"557\" height=\"297\" style=\"vertical-align: middle;width: 557px;height: 297px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 41.6px; 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 20.8px; text-align: left; transform-origin: 384px 20.8px; 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=\"\"\u003eWrite a function that accepts a floating-point value, D. Output the maximum number of holes that can be punched on a plate of diameter D. You are ensured that 1 \u0026lt;= D \u0026lt;= 50.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.8px; 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; perspective-origin: 384px 10.4px; text-align: left; transform-origin: 384px 10.4px; 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=\"\"\u003eIn the examples above, we can see that we can punch 16 holes when D = 6, and 60 holes when D = 10.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = tubesheet(D)\r\n y = D;\r\nend","test_suite":"%%\r\nassert(isequal(tubesheet(17.89),216))\r\n%%\r\nassert(isequal(tubesheet(17.88),208))\r\n%%\r\nassert(isequal(tubesheet(7.82),32))\r\n%%\r\nassert(isequal(tubesheet(12.32),96))\r\n%%\r\nassert(isequal(tubesheet(19.79),264))\r\n%%\r\nassert(isequal(tubesheet(19.99),268))\r\n%%\r\nassert(isequal(tubesheet(20.00),276))\r\n%%\r\nassert(isequal(tubesheet(6.33),24))\r\n%%\r\nassert(isequal(tubesheet(29.77),640))\r\n%%\r\nassert(isequal(tubesheet(11.18),76))\r\n%%\r\nassert(isequal(tubesheet(15.76),164))\r\n%%\r\nassert(isequal(tubesheet(24.08),392))\r\n%%\r\nassert(isequal(tubesheet(12.29),96))\r\n%%\r\nassert(isequal(tubesheet(42.37),1320))\r\n%%\r\nassert(isequal(tubesheet(10.54),68))\r\n%%\r\nassert(isequal(tubesheet(12.07),88))\r\n%%\r\nassert(isequal(tubesheet(9.36),52))\r\n%%\r\nassert(isequal(tubesheet(12.16),88))\r\n%%\r\nassert(isequal(tubesheet(22.35),340))\r\n%%\r\nassert(isequal(tubesheet(16.24),180))\r\n%%\r\nassert(isequal(tubesheet(46.25),1592))\r\n%%\r\nassert(isequal(tubesheet(22.08),332))\r\n%%\r\nassert(isequal(tubesheet(10.06),60))\r\n%%\r\nassert(isequal(tubesheet(45.34),1520))\r\n%%\r\nassert(isequal(tubesheet(49.01),1788))\r\n%%\r\nassert(isequal(tubesheet(22.50),356))\r\n%%\r\nassert(isequal(tubesheet(6.44),24))\r\n%%\r\nassert(isequal(tubesheet(13.65),120))\r\n%%\r\nassert(isequal(tubesheet(21.03),308))\r\n%%\r\nassert(isequal(tubesheet(30.15),656))\r\n%%\r\nassert(isequal(tubesheet(13.85),120))\r\n%%\r\nassert(isequal(tubesheet(30.54),680))\r\n%%\r\nassert(isequal(tubesheet(35.85),936))\r\n%%\r\nassert(isequal(tubesheet(11.87),88))\r\n%%\r\nassert(isequal(tubesheet(6.75),24))\r\n%%\r\nassert(isequal(tubesheet(15.54),156))\r\n%%\r\nassert(isequal(tubesheet(16.62),188))\r\n%%\r\nassert(isequal(tubesheet(21.78),332))\r\n%%\r\nassert(isequal(tubesheet(25.89),468))\r\n%%\r\nassert(isequal(tubesheet(5.19),12))\r\n%%\r\nassert(isequal(tubesheet(13.86),120))\r\n%%\r\nassert(isequal(tubesheet(40.25),1200))\r\n%%\r\nassert(isequal(tubesheet(2.43),0))\r\n%%\r\nassert(isequal(tubesheet(46.51),1600))\r\n%%\r\nassert(isequal(tubesheet(36.79),996))\r\n%%\r\nassert(isequal(tubesheet(24.94),440))\r\n%%\r\nassert(isequal(tubesheet(29.35),616))\r\n%%\r\nassert(isequal(tubesheet(12.63),96))\r\n%%\r\nassert(isequal(tubesheet(23.48),392))\r\n%%\r\nassert(isequal(tubesheet(48.19),1732))\r\n%%\r\nassert(isequal(tubesheet(27.79),548))\r\n%%\r\nassert(isequal(tubesheet(26.54),500))\r\n%%\r\nassert(isequal(tubesheet(12.35),96))\r\n%%\r\nassert(isequal(tubesheet(24.96),440))\r\n%%\r\nassert(isequal(tubesheet(31.58),716))\r\n%%\r\nassert(isequal(tubesheet(34.28),864))\r\n%%\r\nassert(isequal(tubesheet(20.38),284))\r\n%%\r\nassert(isequal(tubesheet(19.00),256))\r\n%%\r\nassert(isequal(tubesheet(49.41),1820))\r\n%%\r\nassert(isequal(tubesheet(2.85),4))\r\n%%\r\nassert(isequal(tubesheet(44.37),1460))\r\n%%\r\nassert(isequal(tubesheet(45.75),1560))\r\n%%\r\nassert(isequal(tubesheet(40.01),1176))\r\n%%\r\nassert(isequal(tubesheet(5.84),16))\r\n%%\r\nassert(isequal(tubesheet(13.83),120))\r\n%%\r\nassert(isequal(tubesheet(17.43),208))\r\n%%\r\nassert(isequal(tubesheet(34.31),864))\r\n%%\r\nassert(isequal(tubesheet(7.69),32))\r\n%%\r\nassert(isequal(tubesheet(36.34),968))\r\n%%\r\nassert(isequal(tubesheet(6.23),16))\r\n%%\r\nassert(isequal(tubesheet(33.03),796))\r\n%%\r\nassert(isequal(tubesheet(25.21),448))\r\n%%\r\nassert(isequal(tubesheet(39.17),1124))\r\n%%\r\nassert(isequal(tubesheet(36.04),936))\r\n%%\r\nassert(isequal(tubesheet(45.28),1520))\r\n%%\r\nassert(isequal(tubesheet(44.66),1476))\r\n%%\r\nassert(isequal(tubesheet(17.37),208))\r\n%%\r\nassert(isequal(tubesheet(35.24),904))\r\n%%\r\nassert(isequal(tubesheet(10.69),68))\r\n%%\r\nassert(isequal(tubesheet(2.50),0))\r\n%%\r\nassert(isequal(tubesheet(37.46),1028))\r\n%%\r\nassert(isequal(tubesheet(25.50),460))\r\n%%\r\nassert(isequal(tubesheet(24.52),432))\r\n%%\r\nassert(isequal(tubesheet(45.33),1520))\r\n%%\r\nassert(isequal(tubesheet(30.88),688))\r\n%%\r\nassert(isequal(tubesheet(31.27),708))\r\n%%\r\nassert(isequal(tubesheet(43.11),1380))\r\n%%\r\nassert(isequal(tubesheet(40.47),1208))\r\n%%\r\nassert(isequal(tubesheet(29.26),616))\r\n%%\r\nassert(isequal(tubesheet(9.96),52))\r\n%%\r\nassert(isequal(tubesheet(12.76),104))\r\n%%\r\nassert(isequal(tubesheet(44.44),1476))\r\n%%\r\nassert(isequal(tubesheet(2.41),0))\r\n%%\r\nassert(isequal(tubesheet(25.01),440))\r\n%%\r\nassert(isequal(tubesheet(9.23),52))\r\n%%\r\nassert(isequal(tubesheet(48.96),1788))\r\n%%\r\nassert(isequal(tubesheet(35.92),936))\r\n%%\r\nassert(isequal(tubesheet(25.52),460))\r\n%%\r\nassert(isequal(tubesheet(24.08),392))\r\n%%\r\nassert(isequal(tubesheet(3.92),4))\r\n%%\r\nassert(isequal(tubesheet(34.42),872))\r\n%%\r\nassert(isequal(tubesheet(3.08),4))\r\n%%\r\nassert(isequal(tubesheet(4.50),12))\r\n%%\r\nassert(isequal(tubesheet(26.56),500))\r\n%%\r\nassert(isequal(tubesheet(5.74),16))\r\n%%\r\nassert(isequal(tubesheet(41.09),1240))\r\n%%\r\nassert(isequal(tubesheet(41.06),1240))\r\n%%\r\nassert(isequal(tubesheet(36.40),968))\r\n","published":true,"deleted":false,"likes_count":4,"comments_count":3,"created_by":255320,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":63,"test_suite_updated_at":"2020-03-27T21:10:13.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-03-27T18:48:08.000Z","updated_at":"2026-03-31T14:25:24.000Z","published_at":"2020-03-27T20:39:34.000Z","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=\\\"center\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"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\u003eA tubesheet is a metal plate used to hold multiple tubes in place in a shell-and-tube heat exchanger. In any industrial plant, heat exchangers are used to transfer heat from one stream to another, such as for cooling or heating.\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 this problem, you are given the diameter D of a metal plate which is a perfect circle. We need to punch holes in this plate where the tubes can fit in. This is done by placing the plate on a 2-D coordinate system where the center of the circle lies in the origin. As seen in the figure below, the coordinate system can be imagined as being made of square cells.\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA hole can be punched in a square cell if and only if it lies completely inside the circular metal plate\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. Can you help count the number of holes we can punch, given the plate's diameter?\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\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=\\\"297\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"557\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"middle\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId2\\\"/\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\u003eWrite a function that accepts a floating-point value, D. Output the maximum number of holes that can be punched on a plate of diameter D. You are ensured that 1 \u0026lt;= D \u0026lt;= 50.\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 the examples above, we can see that we can punch 16 holes when D = 6, and 60 holes when D = 10.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.JPEG\",\"relationshipId\":\"rId1\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId2\"}]},{\"partUri\":\"/media/image1.JPEG\",\"contentType\":\"image/JPEG\",\"content\":\"data:image/JPEG;base64,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\",\"relationship\":null},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":58354,"title":"Find the circle inscribed in a triangle","description":"Write a function that takes the x- and y-coordinates of three points describing the vertices of a triangle and returns the center and radius of a circle inscribed in the triangle (i.e., tangent to each of the three sides).","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: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; 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: 384px 21px; text-align: left; transform-origin: 384px 21px; 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: 365.1px 8px; transform-origin: 365.1px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that takes the x- and y-coordinates of three points describing the vertices of a triangle and returns the center and radius of a circle inscribed in the triangle (i.e., tangent to each of the three sides).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [x0,y0,r] = incircle(x,y)\r\n% x = vector of x-coordinates of the triangle's vertices\r\n% y = vector of y-coordinates of the triangle's vertices\r\n% (x0,y0) = coordinates of the incircle's center\r\n% r = radius of the incircle\r\n [x0,y0,r] = Delaunay(something(x),something(y));\r\nend","test_suite":"%%\r\nx = [0 1 0];\r\ny = [0 0 1];\r\nx0_correct = 0.29289321881;\r\ny0_correct = 0.29289321881;\r\nr_correct = 0.29289321881;\r\n[x0,y0,r] = incircle(x,y);\r\nassert(abs(x0-x0_correct)\u003c1e-10)\r\nassert(abs(y0-y0_correct)\u003c1e-10)\r\nassert(abs(r-r_correct)\u003c1e-10)\r\n\r\n%%\r\nth = pi/2:2*pi/3:11*pi/6;\r\nx = cos(th);\r\ny = sin(th);\r\nx0_correct = 0;\r\ny0_correct = 0;\r\nr_correct = 0.5;\r\n[x0,y0,r] = incircle(x,y);\r\nassert(abs(x0-x0_correct)\u003c1e-10)\r\nassert(abs(y0-y0_correct)\u003c1e-10)\r\nassert(abs(r-r_correct)\u003c1e-10)\r\n\r\n%%\r\nx = [1 4 5];\r\ny = [2 3 6];\r\nx0_correct = 3.47213595500;\r\ny0_correct = 3.52786404500;\r\nr_correct = 0.66770107084;\r\n[x0,y0,r] = incircle(x,y);\r\nassert(abs(x0-x0_correct)\u003c1e-10)\r\nassert(abs(y0-y0_correct)\u003c1e-10)\r\nassert(abs(r-r_correct)\u003c1e-10)\r\n\r\n%%\r\nx = [1 4 5];\r\ny = [2 3 6];\r\nx0_correct = 3.47213595500;\r\ny0_correct = 3.52786404500;\r\nr_correct = 0.66770107084;\r\n[x0,y0,r] = incircle(x,y);\r\nassert(abs(x0-x0_correct)\u003c1e-10)\r\nassert(abs(y0-y0_correct)\u003c1e-10)\r\nassert(abs(r-r_correct)\u003c1e-10)\r\n\r\n%%\r\nx = [-1 4 5];\r\ny = [2 -3 6];\r\nx0_correct = 2.36290232380;\r\ny0_correct = 1.66700704764;\r\nr_correct = 2.14246946292;\r\n[x0,y0,r] = incircle(x,y);\r\nassert(abs(x0-x0_correct)\u003c1e-10)\r\nassert(abs(y0-y0_correct)\u003c1e-10)\r\nassert(abs(r-r_correct)\u003c1e-10)\r\n\r\n%%\r\nx = [12 3 45];\r\ny = [6 78 9];\r\nx0_correct = 23.24160585487;\r\ny0_correct = 19.96162835361;\r\nr_correct = 12.88652365580;\r\n[x0,y0,r] = incircle(x,y);\r\nassert(abs(x0-x0_correct)\u003c1e-10)\r\nassert(abs(y0-y0_correct)\u003c1e-10)\r\nassert(abs(r-r_correct)\u003c1e-10)\r\n\r\n%%\r\nx = [-1 0 1];\r\ny = [0 19 0];\r\nx0_correct = 0;\r\ny0_correct = 0.94875250476;\r\nr_correct = 0.94875250476;\r\n[x0,y0,r] = incircle(x,y);\r\nassert(abs(x0-x0_correct)\u003c1e-10)\r\nassert(abs(y0-y0_correct)\u003c1e-10)\r\nassert(abs(r-r_correct)\u003c1e-10)\r\n\r\n%%\r\nx = [10 15 20];\r\ny = [30 45.1 60];\r\nx0_correct = 15.01499995500; \r\ny0_correct = 45.09499981499; \r\nr_correct = 0.01581137249;\r\n[x0,y0,r] = incircle(x,y);\r\nassert(abs(x0-x0_correct)\u003c1e-10)\r\nassert(abs(y0-y0_correct)\u003c1e-10)\r\nassert(abs(r-r_correct)\u003c1e-10)\r\n\r\n%%\r\nL = 100*rand;\r\nx = [0 L 0];\r\ny = [0 0 L];\r\nd_correct = L/(2+sqrt(2)); \r\n[x0,y0,r] = incircle(x,y);\r\nassert(abs(x0-d_correct)\u003c1e-10)\r\nassert(abs(y0-d_correct)\u003c1e-10)\r\nassert(abs(r-d_correct)\u003c1e-10)\r\n\r\n%%\r\nfiletext = fileread('incircle.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-05-20T15:34:18.000Z","deleted_by":null,"deleted_at":null,"solvers_count":8,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-05-20T15:33:53.000Z","updated_at":"2023-05-20T15:34:18.000Z","published_at":"2023-05-20T15:34:18.000Z","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\u003eWrite a function that takes the x- and y-coordinates of three points describing the vertices of a triangle and returns the center and radius of a circle inscribed in the triangle (i.e., tangent to each of the three sides).\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":61090,"title":"Covering a 4-pointed star polygon by a circle sector","description":"Given the area, A, of a 4-pointed star polygon formed by the rectangle, with dimensions L×2L, and four triangles, with height h from their bases to the vertices, consider the circle that covers the greater of the two distances between opposite vertices (cf. figure below).\r\nGiven (A,h), find\r\nthe width, L, of the rectangle;\r\nthe angle, α [in Radians], of the sector of the circle such that its area is equal to A;\r\nthe minimum slicing number n, corresponding to the number of congruent circle slices, such that the area of one slice does not exceed the above sector area.\r\ninput: (A, h)\r\noutput: y = [L alpha n]\r\n","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: 751.55px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 408px 375.775px; transform-origin: 408px 375.775px; 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; padding-inline-start: 0px; padding-left: 0px; 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; \"\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 area, \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, of a 4-pointed star polygon formed by the rectangle, with dimensions \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eL\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e×\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e2L\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and four triangles, with height \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eh\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e from their bases to the vertices, consider the circle that covers the greater of the two distances between opposite vertices (cf. figure below).\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: 384px 10.5px; text-align: left; transform-origin: 384px 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=\"\"\u003eGiven \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(A,h)\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, find\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.75px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 391px 40.875px; transform-origin: 391px 40.875px; 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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethe width, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eL,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the rectangle;\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethe angle, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eα\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e [in Radians], of the sector of the circle such that its area is equal to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 40.875px; 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 20.4375px; text-align: left; transform-origin: 363px 20.4375px; 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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethe minimum slicing number \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, corresponding to the number of congruent circle slices, such that the area of one slice does not exceed the above sector area.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\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: 384px 10.5px; text-align: left; transform-origin: 384px 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-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003einput:\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(A, h)\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: 384px 10.5px; text-align: left; transform-origin: 384px 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-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eoutput:\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ey = [L alpha n]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 486.8px; 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: 384px 243.4px; text-align: left; transform-origin: 384px 243.4px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cimg class=\"imageNode\" width=\"601\" height=\"481\" style=\"vertical-align: baseline;width: 601px;height: 481px\" src=\"data:image/png;base64,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\" alt=\"Covering by sector\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = covering_by_sector(A,h)\r\n y = x;\r\nend","test_suite":"%%\r\nA = 27;\r\nh = 1;\r\ny_correct = [3 3.375 2];\r\nassert(isequal(covering_by_sector(A,h),y_correct))\r\n\r\n%%\r\nA = 36;\r\nh = 2;\r\ny_correct = [3 2.88 3];\r\nassert(isequal(covering_by_sector(A,h),y_correct))\r\n\r\n%%\r\nA = 45;\r\nh = 3;\r\ny_correct = [3 2.5 3];\r\nassert(isequal(covering_by_sector(A,h),y_correct))\r\n\r\n%%\r\nfiletext = fileread('covering_by_sector.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || ...\r\n contains(filetext, 'str2num'); \r\nassert(~illegal)\r\n\r\n%%\r\nA = 56;\r\nh = 2; \r\ny_correct = [4 28/9 3];\r\nassert(all(isapprox(covering_by_sector(A,h),y_correct), 'all'))\r\n\r\n%%\r\nA = 50;\r\nh = 5; \r\ny_correct = [2.5 16/9 4];\r\nassert(all(isapprox(covering_by_sector(A,h),y_correct), 'all'))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":4993982,"edited_by":4993982,"edited_at":"2025-12-03T10:39:21.000Z","deleted_by":null,"deleted_at":null,"solvers_count":9,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-11-30T14:56:09.000Z","updated_at":"2026-03-23T10:36:12.000Z","published_at":"2025-12-03T10:39:21.000Z","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 area, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, of a 4-pointed star polygon formed by the rectangle, with dimensions \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eL\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2L\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, and four triangles, with height \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e from their bases to the vertices, consider the circle that covers the greater of the two distances between opposite vertices (cf. figure below).\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 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(A,h)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, find\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ethe width, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eL,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e of the rectangle;\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ethe angle, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eα\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e [in Radians], of the sector of the circle such that its area is equal to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\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=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ethe minimum slicing number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, corresponding to the number of congruent circle slices, such that the area of one slice does not exceed the above sector area.\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:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003einput:\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(A, h)\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:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eoutput:\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ey = [L alpha n]\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=\\\"481\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"601\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"Covering by sector\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":45341,"title":"Area-06","description":"The length of the side of a square is given.\r\nDraw 4 quarter-circles inside the square from 4 corners with a radius equal to the side length.\r\nWhat is the area of the confined region inside(shaded region in figure).","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: 81px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 40.5px; transform-origin: 407px 40.5px; 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: 135px 8px; transform-origin: 135px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe length of the side of a square is 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; 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: 293.5px 8px; transform-origin: 293.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eDraw 4 quarter-circles inside the square from 4 corners with a radius equal to the side length.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 223.5px 8px; transform-origin: 223.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWhat is the area of the confined region inside(shaded region in figure).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function c= quarter_circle_01(r)\r\n y = x;\r\nend","test_suite":"%%\r\nr = 25;\r\nassert(abs(quarter_circle_01(r)-196.9667)\u003c0.001)\r\n%%\r\nr = 10;\r\nassert(abs(quarter_circle_01(r)-31.5147)\u003c0.001)\r\n%%\r\nr = 62.45;\r\nassert(abs(quarter_circle_01(r)- 1229.0730)\u003c0.001)\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":363598,"edited_by":223089,"edited_at":"2023-01-13T06:16:50.000Z","deleted_by":null,"deleted_at":null,"solvers_count":25,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-02-18T18:30:17.000Z","updated_at":"2026-01-02T17:33:43.000Z","published_at":"2020-02-18T18:33:10.000Z","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\u003eThe length of the side of a square is 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\u003eDraw 4 quarter-circles inside the square from 4 corners with a radius equal to the side length.\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\u003eWhat is the area of the confined region inside(shaded region in figure).\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":45277,"title":"Orthogonal Circles","description":"Check whether two given circles are orthogonal or not.\r\n\r\nTwo circles are orthogonal if they create a right angle at their intersections.\r\n\r\n* p=[x1,y1,r1] where (x1,y1) is the center \u0026 r1 is the radius of the 1st circle.\r\n* q=[x2,y2,r2] where (x2,y2) is the center \u0026 r2 is the radius of the 2nd circle.","description_html":"\u003cp\u003eCheck whether two given circles are orthogonal or not.\u003c/p\u003e\u003cp\u003eTwo circles are orthogonal if they create a right angle at their intersections.\u003c/p\u003e\u003cul\u003e\u003cli\u003ep=[x1,y1,r1] where (x1,y1) is the center \u0026 r1 is the radius of the 1st circle.\u003c/li\u003e\u003cli\u003eq=[x2,y2,r2] where (x2,y2) is the center \u0026 r2 is the radius of the 2nd circle.\u003c/li\u003e\u003c/ul\u003e","function_template":"function tf= ortho_circle(p,q)","test_suite":"%%\r\np=[5,7,2];\r\nq=[4,1,9];\r\ny_correct = 0;\r\nassert(isequal(ortho_circle(p,q),y_correct))\r\n%%\r\np=[4,3,2];\r\nq=[0,1,4];\r\ny_correct = 1;\r\nassert(isequal(ortho_circle(p,q),y_correct))\r\n%%\r\np=[4,3,2];\r\nq=[2,1,9];\r\ny_correct = 0;\r\nassert(isequal(ortho_circle(p,q),y_correct))\r\n%%\r\np=[1,1,4];\r\nq=[5,5,4];\r\ny_correct = 1;\r\nassert(isequal(ortho_circle(p,q),y_correct))\r\n\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":13,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-01-26T05:41:51.000Z","updated_at":"2025-07-11T00:20:52.000Z","published_at":"2020-01-26T05:42:33.000Z","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\u003eCheck whether two given circles are orthogonal or not.\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\u003eTwo circles are orthogonal if they create a right angle at their intersections.\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\u003ep=[x1,y1,r1] where (x1,y1) is the center \u0026amp; r1 is the radius of the 1st circle.\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\u003eq=[x2,y2,r2] where (x2,y2) is the center \u0026amp; r2 is the radius of the 2nd circle.\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":1336,"title":"Geometry: Find Circle given 3 Non-Colinear Points","description":"*This Challenge is to determine the center and radius of a circle given three non-colinear points.*\r\n\r\n*Input:* Points\r\n\r\n*Output:* [xc, yc, r] where [xc,yc] are the center and r is the radius\r\n\r\n*Example:*\r\n\r\nInput: Points = [1 0 ; 0 -1 ; 0 1]\r\n\r\nOutput: [ 0 0 1]\r\n\r\n*Theory/Hint:* The Kasa method provides a best fit circle to a set of points.\r\n\r\n*Future:* 1) Circumscribe 4 points 2) Circumscribe N points 3) The Great Lego Cup Challenge","description_html":"\u003cp\u003e\u003cb\u003eThis Challenge is to determine the center and radius of a circle given three non-colinear points.\u003c/b\u003e\u003c/p\u003e\u003cp\u003e\u003cb\u003eInput:\u003c/b\u003e Points\u003c/p\u003e\u003cp\u003e\u003cb\u003eOutput:\u003c/b\u003e [xc, yc, r] where [xc,yc] are the center and r is the radius\u003c/p\u003e\u003cp\u003e\u003cb\u003eExample:\u003c/b\u003e\u003c/p\u003e\u003cp\u003eInput: Points = [1 0 ; 0 -1 ; 0 1]\u003c/p\u003e\u003cp\u003eOutput: [ 0 0 1]\u003c/p\u003e\u003cp\u003e\u003cb\u003eTheory/Hint:\u003c/b\u003e The Kasa method provides a best fit circle to a set of points.\u003c/p\u003e\u003cp\u003e\u003cb\u003eFuture:\u003c/b\u003e 1) Circumscribe 4 points 2) Circumscribe N points 3) The Great Lego Cup Challenge\u003c/p\u003e","function_template":"function [xc,yc,r]=find_circle(pts)\r\n xc=0;\r\n yc=0;\r\n r=1;\r\n\r\n","test_suite":"%%\r\nfor tests=1:5\r\n xc_truth=randn;\r\n yc_truth=randn;\r\n r_truth=rand;\r\n rand_ang=randi(360,3,1)+rand(3,1); % Avoid duplicate location via rand(3,1)\r\n pts=[xc_truth+r_truth*cosd(rand_ang) yc_truth+r_truth*sind(rand_ang)]; \r\n\r\n [xc,yc,r]=find_circle(pts);\r\n\r\n %dif=[xc yc r]-[xc_truth yc_truth r_truth]\r\n\r\n assert(max(abs([xc,yc,r]-[xc_truth,yc_truth,r_truth]))\u003c1e-6,...\r\nsprintf('Expect xc %.2f yc %.2f r %.2f Ans:%.2f %.2f %.2f',...\r\n xc_truth,yc_truth,r_truth,xc,yc,r))\r\nend","published":true,"deleted":false,"likes_count":4,"comments_count":1,"created_by":3097,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":64,"test_suite_updated_at":"2017-02-24T17:19:01.000Z","rescore_all_solutions":false,"group_id":20,"created_at":"2013-03-10T17:26:14.000Z","updated_at":"2026-02-16T11:13:15.000Z","published_at":"2013-03-10T18:03:52.000Z","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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eThis Challenge is to determine the center and radius of a circle given three non-colinear 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\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eInput:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e 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\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eOutput:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e [xc, yc, r] where [xc,yc] are the center and r is the radius\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eInput: Points = [1 0 ; 0 -1 ; 0 1]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOutput: [ 0 0 1]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTheory/Hint:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e The Kasa method provides a best fit circle to a set of 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\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFuture:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e 1) Circumscribe 4 points 2) Circumscribe N points 3) The Great Lego Cup Challenge\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":44367,"title":"Inscribed Pentagon? 2","description":"Your function will be provided with the five vertices of a pentagon (p) as well as the center point (cp) and radius (r) of a circle. The pentagon may or may not be centered on the circle. The function should return one of the following values:\r\n\r\n -1: the pentagon is not centered on the circle (within 5% of r)^\r\n 0: the pentagon is completely enclosed within the circle but is not inscribed\r\n 1: the pentagon is inscribed in the circle (within ±0.02)\r\n 2: the vertices of the pentagon extend beyond the circle\r\n\r\nPoints will be rounded to the nearest hundredth. See the test cases for examples. (There will not be a case where some vertices are within the circle and others without.)\r\n\r\n^ Due to the asymmetric nature of the pentagon, its centroid does not coincide with center of its inscribing circle, hence the ±5% tolerance window. ","description_html":"\u003cp\u003eYour function will be provided with the five vertices of a pentagon (p) as well as the center point (cp) and radius (r) of a circle. The pentagon may or may not be centered on the circle. The function should return one of the following values:\u003c/p\u003e\u003cpre\u003e -1: the pentagon is not centered on the circle (within 5% of r)^\r\n 0: the pentagon is completely enclosed within the circle but is not inscribed\r\n 1: the pentagon is inscribed in the circle (within ±0.02)\r\n 2: the vertices of the pentagon extend beyond the circle\u003c/pre\u003e\u003cp\u003ePoints will be rounded to the nearest hundredth. See the test cases for examples. (There will not be a case where some vertices are within the circle and others without.)\u003c/p\u003e\u003cp\u003e^ Due to the asymmetric nature of the pentagon, its centroid does not coincide with center of its inscribing circle, hence the ±5% tolerance window.\u003c/p\u003e","function_template":"function y = inscribed_pentagon2(p,cp,r)\r\n y = -1;\r\nend","test_suite":"%%\r\np = [0,5; 4.76,1.55; 2.94,-4.05; -2.94,-4.05; -4.76,1.55];\r\ncp = [0,0];\r\nr = 5;\r\ny_correct = 1;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))\r\n\r\n%%\r\np = [0,6.58; 6.42,1.92; 3.97,-5.63; -3.97,-5.63; -6.42,1.92];\r\ncp = [0,0];\r\nr = 5;\r\ny_correct = 2;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))\r\n\r\n%%\r\np = [0,4.55; 4.28,1.44; 2.65,-3.59; -2.65,-3.59; -4.28,1.44];\r\ncp = [0,0];\r\nr = 5;\r\ny_correct = 0;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))\r\n\r\n%%\r\np = [0,5; 4.76,1.55; 2.94,-4.05; -2.94,-4.05; -4.76,1.55];\r\ncp = [0,0.5];\r\nr = 8.75;\r\ny_correct = -1;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))\r\n\r\n%%\r\np = [0,5; 4.76,1.55; 2.94,-4.05; -2.94,-4.05; -4.76,1.55];\r\ncp = [1.98,-0.47];\r\nr = 8.75;\r\ny_correct = -1;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))\r\n\r\n%%\r\ncp = [20,8];\r\np = [0,5; 4.76,1.55; 2.94,-4.05; -2.94,-4.05; -4.76,1.55] + repmat(cp,[5,1]);\r\nr = 5;\r\ny_correct = 1;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))\r\n\r\n%%\r\ncp = [20,8];\r\np = [0,6.58; 6.42,1.92; 3.97,-5.63; -3.97,-5.63; -6.42,1.92] + repmat(cp,[5,1]);\r\nr = 5;\r\ny_correct = 2;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))\r\n\r\n%%\r\ncp = [20,8];\r\np = [0,4.55; 4.28,1.44; 2.65,-3.59; -2.65,-3.59; -4.28,1.44] + repmat(cp,[5,1]);\r\nr = 5;\r\ny_correct = 0;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))\r\n\r\n%%\r\ncp_temp = [20,8];\r\np = [0,5; 4.76,1.55; 2.94,-4.05; -2.94,-4.05; -4.76,1.55] + repmat(cp_temp,[5,1]);\r\ncp = [19.5,9.08];\r\nr = 2.5;\r\ny_correct = -1;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))\r\n\r\n%%\r\ncp_temp = [20,8];\r\np = [0,5; 4.76,1.55; 2.94,-4.05; -2.94,-4.05; -4.76,1.55] + repmat(cp_temp,[5,1]);\r\ncp = [19.86,7.19];\r\nr = 7.5;\r\ny_correct = -1;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))\r\n\r\n%%\r\np = [23.66,11.42; 24.37,5.58; 19.05,3.10; 15.04,7.40; 17.89,12.54];\r\ncp = [20,8];\r\nr = 5;\r\ny_correct = 1;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))\r\n\r\n%%\r\np = [25.01,12.47; 25.98,4.58; 18.78,1.23; 13.37,7.03; 17.22,13.97];\r\ncp = [20,8];\r\nr = 5;\r\ny_correct = 2;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))\r\n\r\n%%\r\np = [23.27,11.12; 23.92,5.87; 19.12,3.63; 15.52,7.50; 18.08,12.13];\r\ncp = [20,8];\r\nr = 5;\r\ny_correct = 0;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))\r\n\r\n%%\r\np = [30.94,36.26; 35.61,27.09; 28.34,19.82; 19.17,24.49; 20.78,34.65];\r\ncp = [26.97,28.45];\r\nr = 8.75;\r\ny_correct = 1;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))\r\n\r\n%%\r\np = [32.54,38.78; 38.84,26.41; 29.02,16.59; 16.65,22.89; 18.83,36.61];\r\ncp = [26.97,28.45];\r\nr = 8.75;\r\ny_correct = 2;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))\r\n\r\n%%\r\np = [30.49,35.54; 34.69,27.29; 28.14,20.74; 19.89,24.95; 21.34,34.09];\r\ncp = [26.97,28.45];\r\nr = 8.75;\r\ny_correct = 0;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))\r\n\r\n%%\r\np = [30.94,36.26; 35.61,27.09; 28.34,19.82; 19.17,24.49; 20.78,34.65];\r\ncp = [26.41,29.04];\r\nr = 6.13;\r\ny_correct = -1;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))\r\n\r\n%%\r\np = [30.94,36.26; 35.61,27.09; 28.34,19.82; 19.17,24.49; 20.78,34.65];\r\ncp = [27.07,27.66];\r\nr = 9.63;\r\ny_correct = -1;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":26769,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":88,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":35,"created_at":"2017-10-10T15:28:54.000Z","updated_at":"2026-04-02T01:39:53.000Z","published_at":"2017-10-16T01:51:00.000Z","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\u003eYour function will be provided with the five vertices of a pentagon (p) as well as the center point (cp) and radius (r) of a circle. The pentagon may or may not be centered on the circle. The function should return one of the following values:\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[ -1: the pentagon is not centered on the circle (within 5% of r)^\\n 0: the pentagon is completely enclosed within the circle but is not inscribed\\n 1: the pentagon is inscribed in the circle (within ±0.02)\\n 2: the vertices of the pentagon extend beyond the circle]]\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\u003ePoints will be rounded to the nearest hundredth. See the test cases for examples. (There will not be a case where some vertices are within the circle and others without.)\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\u003e^ Due to the asymmetric nature of the pentagon, its centroid does not coincide with center of its inscribing circle, hence the ±5% tolerance window.\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":44386,"title":"Circumscribed Pentagon?","description":"Building off of \u003chttps://www.mathworks.com/matlabcentral/cody/problems/44368 Problem 44368\u003e, your function will be provided with the five vertices of a regular pentagon (p) as well as the center point (cp) and radius (r) of a circle. The function should return one of the following values:\r\n\r\n 0: the pentagon is completely enclosed within the circle but is not inscribed\r\n 1: the pentagon is inscribed in the circle (within ±0.02)\r\n 2: the vertices of the pentagon extend beyond the circle, but its edges still cross back into the circle\r\n 3: the pentagon circumscribes the circle (within ±0.02)\r\n 4: the pentagon completely encloses, and does not touch, the circle\r\n\r\nPoints will be rounded to the nearest hundredth. See the test cases for examples.","description_html":"\u003cp\u003eBuilding off of \u003ca href = \"https://www.mathworks.com/matlabcentral/cody/problems/44368\"\u003eProblem 44368\u003c/a\u003e, your function will be provided with the five vertices of a regular pentagon (p) as well as the center point (cp) and radius (r) of a circle. The function should return one of the following values:\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003e0: the pentagon is completely enclosed within the circle but is not inscribed\r\n1: the pentagon is inscribed in the circle (within ±0.02)\r\n2: the vertices of the pentagon extend beyond the circle, but its edges still cross back into the circle\r\n3: the pentagon circumscribes the circle (within ±0.02)\r\n4: the pentagon completely encloses, and does not touch, the circle\r\n\u003c/pre\u003e\u003cp\u003ePoints will be rounded to the nearest hundredth. See the test cases for examples.\u003c/p\u003e","function_template":"function y = circumscribed_pentagon(p,cp,r)\r\n y = 0;\r\nend","test_suite":"%%\r\np = [0,5; 4.76,1.55; 2.94,-4.05; -2.94,-4.05; -4.76,1.55];\r\ncp = [0,0];\r\nr = 5;\r\ny_correct = 1;\r\nassert(isequal(circumscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [0,5.61; 5.40,1.69; 3.34,-4.66; -3.34,-4.66; -5.40,1.69];\r\ncp = [0,0];\r\nr = 5;\r\ny_correct = 2;\r\nassert(isequal(circumscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [0,6.18; 5.88,1.91; 3.63,-5.00; -3.63,-5.00; -5.88,1.91];\r\ncp = [0,0];\r\nr = 5;\r\ny_correct = 3;\r\nassert(isequal(circumscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [0,4.55; 4.28,1.44; 2.65,-3.59; -2.65,-3.59; -4.28,1.44];\r\ncp = [0,0];\r\nr = 5;\r\ny_correct = 0;\r\nassert(isequal(circumscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\ncp = [20,8];\r\np = [0,5; 4.76,1.55; 2.94,-4.05; -2.94,-4.05; -4.76,1.55] + repmat(cp,[5,1]);\r\nr = 5;\r\ny_correct = 1;\r\nassert(isequal(circumscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [20,13.61; 25.40,9.69; 23.34,3.34; 16.66,3.34; 14.60,9.69];\r\ncp = [20,8];\r\nr = 5;\r\ny_correct = 2;\r\nassert(isequal(circumscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [20,14.18; 25.88,9.91; 23.63,3.00; 16.37,3.00; 14.12,9.91];\r\ncp = [20,8];\r\nr = 5;\r\ny_correct = 3;\r\nassert(isequal(circumscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\ncp = [20,8];\r\np = [0,6.58; 6.42,1.92; 3.97,-5.63; -3.97,-5.63; -6.42,1.92] + repmat(cp,[5,1]);\r\nr = 5;\r\ny_correct = 4;\r\nassert(isequal(circumscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\ncp = [20,8];\r\np = [0,4.55; 4.28,1.44; 2.65,-3.59; -2.65,-3.59; -4.28,1.44] + repmat(cp,[5,1]);\r\nr = 5;\r\ny_correct = 0;\r\nassert(isequal(circumscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [23.66,11.42; 24.37,5.58; 19.05,3.10; 15.04,7.40; 17.89,12.54];\r\ncp = [20,8];\r\nr = 5;\r\ny_correct = 1;\r\nassert(isequal(circumscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [25.01,12.47; 25.98,4.58; 18.78,1.23; 13.37,7.03; 17.22,13.97];\r\ncp = [20,8];\r\nr = 5;\r\ny_correct = 4;\r\nassert(isequal(circumscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [23.27,11.12; 23.92,5.87; 19.12,3.63; 15.52,7.50; 18.08,12.13];\r\ncp = [20,8];\r\nr = 5;\r\ny_correct = 0;\r\nassert(isequal(circumscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [30.94,36.26; 35.61,27.09; 28.34,19.82; 19.17,24.49; 20.78,34.65];\r\ncp = [26.97,28.45];\r\nr = 8.75;\r\ny_correct = 1;\r\nassert(isequal(circumscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [32.54,38.78; 38.84,26.41; 29.02,16.59; 16.65,22.89; 18.83,36.61];\r\ncp = [26.97,28.45];\r\nr = 8.75;\r\ny_correct = 4;\r\nassert(isequal(circumscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [30.49,35.54; 34.69,27.29; 28.14,20.74; 19.89,24.95; 21.34,34.09];\r\ncp = [26.97,28.45];\r\nr = 8.75;\r\ny_correct = 0;\r\nassert(isequal(circumscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [26.97,34.06; 32.37,30.14; 30.31,23.79; 23.63,23.79; 21.57,30.14];\r\ncp = [26.97,28.45];\r\nr = 5;\r\ny_correct = 2;\r\nassert(isequal(circumscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [31.35,32.83; 32.49,25.64; 26.00,22.34; 20.85,27.48; 24.16,33.97];\r\ncp = [26.97,28.45];\r\nr = 5.01;\r\ny_correct = 3;\r\nassert(isequal(circumscribed_pentagon(p,cp,r),y_correct))","published":true,"deleted":false,"likes_count":2,"comments_count":4,"created_by":26769,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":64,"test_suite_updated_at":"2017-12-08T15:45:11.000Z","rescore_all_solutions":false,"group_id":35,"created_at":"2017-10-13T20:03:45.000Z","updated_at":"2025-11-04T13:12:51.000Z","published_at":"2017-10-16T01:51:02.000Z","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\u003eBuilding off of\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/44368\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProblem 44368\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, your function will be provided with the five vertices of a regular pentagon (p) as well as the center point (cp) and radius (r) of a circle. The function should return one of the following values:\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[0: the pentagon is completely enclosed within the circle but is not inscribed\\n1: the pentagon is inscribed in the circle (within ±0.02)\\n2: the vertices of the pentagon extend beyond the circle, but its edges still cross back into the circle\\n3: the pentagon circumscribes the circle (within ±0.02)\\n4: the pentagon completely encloses, and does not touch, the circle]]\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\u003ePoints will be rounded to the nearest hundredth. See the test cases for examples.\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":45340,"title":"Area-05","description":"The dimension of a rectangle is given. There are two circles of equal size that are inscribed inside it.The circles are tangent to each other and to the rectangle.\r\n\r\nFind the area of of the shaded portion i.e. the portion except the one in the left corner.\r\n\u003chttps://serving.photos.photobox.com/548184863a4e0febc2ad9bcde612bc8f456b9f514872de1da2fd079928011d6c6006f516.jpg\u003e\r\n\r\nNb. I believe its more fun \u0026 ethical to try and figure out the answer by urself instead of just loooking for the ratio on the test suites.","description_html":"\u003cp\u003eThe dimension of a rectangle is given. There are two circles of equal size that are inscribed inside it.The circles are tangent to each other and to the rectangle.\u003c/p\u003e\u003cp\u003eFind the area of of the shaded portion i.e. the portion except the one in the left corner. \u003ca href = \"https://serving.photos.photobox.com/548184863a4e0febc2ad9bcde612bc8f456b9f514872de1da2fd079928011d6c6006f516.jpg\"\u003ehttps://serving.photos.photobox.com/548184863a4e0febc2ad9bcde612bc8f456b9f514872de1da2fd079928011d6c6006f516.jpg\u003c/a\u003e\u003c/p\u003e\u003cp\u003eNb. I believe its more fun \u0026 ethical to try and figure out the answer by urself instead of just loooking for the ratio on the test suites.\u003c/p\u003e","function_template":"function out=inscribed_circle_5(a,b)\r\n y = x;\r\nend","test_suite":"%%\r\nassert(abs(inscribed_circle_5(100,50)-487.5987)\u003c0.001)\r\n%%\r\nassert(abs(inscribed_circle_5(20,10)-19.5039)\u003c0.001)\r\n%%\r\nassert(abs(inscribed_circle_5(50,25)-121.8997)\u003c0.001)\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":13,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-02-17T22:31:04.000Z","updated_at":"2020-02-17T22:32:09.000Z","published_at":"2020-02-17T22:32:09.000Z","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\u003eThe dimension of a rectangle is given. There are two circles of equal size that are inscribed inside it.The circles are tangent to each other and to the rectangle.\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\u003eFind the area of of the shaded portion i.e. the portion except the one in the left corner.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://serving.photos.photobox.com/548184863a4e0febc2ad9bcde612bc8f456b9f514872de1da2fd079928011d6c6006f516.jpg\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026lt;https://serving.photos.photobox.com/548184863a4e0febc2ad9bcde612bc8f456b9f514872de1da2fd079928011d6c6006f516.jpg\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eNb. I believe its more fun \u0026amp; ethical to try and figure out the answer by urself instead of just loooking for the ratio on the test suites.\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":58872,"title":"Find the Points Tangent to a Circle from an External Point ","description":"From a point where do the lines touch a circle tangentially?. The loldrup solution may provide some guidance and alternate method. I will elaborate a more reference frame modification geometric solution utilizing Matlab specific functions, rotation matrix, and translation matrix.\r\nGiven point(px,py) and circle [cx,cy,R] return the circle points [x3 y3;x4 y4] where lines thru the point are tangential to the circle. The line ([px,py],[x3,y3]) is tangential to circle [cx,cy,R] at circle point [x3,y3]. D\u003eR.\r\nThe below figure is created based upon h=P=distance([cx,cy],[px,py])/2=D/2, translating (cx,cy) to (0,0), and rotating (px,py) to be on the Y-axis. From this manipulation two right triangles are apparent: [X,Y,R] and [X,h-Y,P]. Subtracting and simplifying these triangles leads to Y and two X values after substituting back into R^2=X^+Y^2 equation.\r\nP^2=X^2+(h-Y)^2 and R^2=X^2+Y^2 after subtraction gives R^2-P^2=Y^2-(h-Y)^2 = Y^2-h^2+2hY-Y^2=2hY-h^2 thus\r\nY=(R^2-P^2+h^2)/(2h) =(R^2-P^2+P^2)/(2P)=R^2/(2P)=R^2/D\r\nX=+/- (R^2-Y^2)^.5=+/- (R^2-(R^2/(2P))^2)^0.5=+/- R*(1-(R/D)^2)^0.5\r\nThe trick is to now un-rotate and translate this solution matrix using t=atan2(dx,dy), [cos(t) -sin(t);sin(t) cos(t)] and [cx cy]\r\n\r\n\r\nThis figure shows the point (px,py) rotated onto the Y-axis at position 2P. The circle (cx,cy) has been shifted to the origin with radius R. The green line shows a tangent at (x,y) from (px,py). A second tangent point is at (-x.y). D=2*P","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: 952.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 476.25px; transform-origin: 407px 476.25px; 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: 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: 204px 8px; transform-origin: 204px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFrom a point where do the lines touch a circle tangentially?. The \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://math.stackexchange.com/questions/913239/given-circle-and-point-where-does-the-tangential-line-through-the-point-touch-t\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eloldrup\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: 133px 8px; transform-origin: 133px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e solution may provide some guidance and alternate method. I will elaborate a more reference frame modification geometric solution utilizing Matlab specific functions, rotation matrix, and translation matrix.\u003c/span\u003e\u003c/span\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: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; 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: 380.5px 8px; transform-origin: 380.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven point(px,py) and circle [cx,cy,R] return the circle points [x3 y3;x4 y4] where lines thru the point are tangential to the circle. The line ([px,py],[x3,y3]) is tangential to circle [cx,cy,R] at circle point [x3,y3]. D\u0026gt;R.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 366.5px 8px; transform-origin: 366.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe below figure is created based upon h=P=distance([cx,cy],[px,py])/2=D/2, translating (cx,cy) to (0,0), and rotating (px,py) to be on the Y-axis. From this manipulation two right triangles are apparent: [X,Y,R] and [X,h-Y,P]. Subtracting and simplifying these triangles leads to Y and two X values after substituting back into R^2=X^+Y^2 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: 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: 358px 8px; transform-origin: 358px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eP^2=X^2+(h-Y)^2 and R^2=X^2+Y^2 after subtraction gives R^2-P^2=Y^2-(h-Y)^2 = Y^2-h^2+2hY-Y^2=2hY-h^2 thus\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 188px 8px; transform-origin: 188px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eY=(R^2-P^2+h^2)/(2h) =(R^2-P^2+P^2)/(2P)=R^2/(2P)=R^2/D\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 211px 8px; transform-origin: 211px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eX=+/- (R^2-Y^2)^.5=+/- (R^2-(R^2/(2P))^2)^0.5=+/- R*(1-(R/D)^2)^0.5\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 378px 8px; transform-origin: 378px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe trick is to now un-rotate and translate this solution matrix using t=atan2(dx,dy), [cos(t) -sin(t);sin(t) cos(t)] and [cx cy]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 556.5px; 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 278.25px; text-align: left; transform-origin: 384px 278.25px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 419px;height: 551px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\" width=\"419\" height=\"551\"\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: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; 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: 378.5px 8px; transform-origin: 378.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThis figure shows the point (px,py) rotated onto the Y-axis at position 2P. The circle (cx,cy) has been shifted to the origin with radius R. The green line shows a tangent at (x,y) from (px,py). A second tangent point is at (-x.y). D=2*P\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function xy=TangentPoints_onCircle(px,py,cx,cy,R)\r\n%Find points on circle that when drawn to a point only touches circle at the circle point.\r\n%The line from the circle center to (x3 y3) is orthogonal to the line [(px,py) (x3,y3)]\r\n%A second point (x4,y4) also creates an orthogonal lines intersection\r\n\r\n D=norm([px-cx py-cy])\r\n \r\n %Y=\r\n %X=\r\n \r\n xy=[X Y;-X Y];\r\n \r\n %Rotation Angle: atan2\r\n theta=atan2(px-cx,py-cy); % (X,Y) output radians Neg Left of vert, Pos Right of Vert\r\n \r\n %Rotation Matrix: [cos(t) -sin(t);sin(t) cos(t)]\r\n %Translation matrix: [cx cy]\r\n %Check of (px,py) being regenerated from D, theta, and translation\r\n [pxyD]=[0 D]*[cos(theta) -sin(theta);sin(theta) cos(theta)]+[cx cy]\r\n [px py]\r\n \r\n %xy=\r\n \r\n \r\n \r\nend %TangentPoints_onCircle","test_suite":"%%\r\nvalid=1;\r\npx=6;py=8;cx=0;cy=0;R=4;\r\nxy=TangentPoints_onCircle(px,py,cx,cy,R)\r\n\r\n%Verify line from (cx,cy) to (x3,y3) slope is -1/slope of (px,py) to (x3,y3), orthogonal\r\nmexp=-(xy(2,1)-cx)/(xy(2,2)-cy)\r\nmp=(xy(2,2)-py)/(xy(2,1)-px)\r\nif abs(mexp)\u003e1e12 % Inf slope allow +/- match\r\n if ~(abs(mp)\u003e1e12)\r\n valid=0\r\n end\r\nelse\r\n if abs(mp-mexp)\u003e1e-6\r\n valid=0\r\n end\r\nend\r\n\r\nmexp=-(xy(1,1)-cx)/(xy(1,2)-cy)\r\nmp=(xy(1,2)-py)/(xy(1,1)-px)\r\nif abs(mexp)\u003e1e12 % Inf slope allow +/- match\r\n if ~(abs(mp)\u003e1e12)\r\n valid=0\r\n end\r\nelse\r\n if abs(mp-mexp)\u003e1e-6\r\n valid=0\r\n end\r\nend\r\n\r\n\r\nassert(valid)\r\n\r\n%%\r\nvalid=1;\r\npx=-6;py=-8;cx=2;cy=4;R=6;\r\nxy=TangentPoints_onCircle(px,py,cx,cy,R)\r\n\r\n%Verify line from (cx,cy) to (x3,y3) slope is -1/slope of (px,py) to (x3,y3), orthogonal\r\nmexp=-(xy(2,1)-cx)/(xy(2,2)-cy)\r\nmp=(xy(2,2)-py)/(xy(2,1)-px)\r\nif abs(mexp)\u003e1e12 % Inf slope allow +/- match\r\n if ~(abs(mp)\u003e1e12)\r\n valid=0\r\n end\r\nelse\r\n if abs(mp-mexp)\u003e1e-6\r\n valid=0\r\n end\r\nend\r\n\r\nmexp=-(xy(1,1)-cx)/(xy(1,2)-cy)\r\nmp=(xy(1,2)-py)/(xy(1,1)-px)\r\nif abs(mexp)\u003e1e12 % Inf slope allow +/- match\r\n if ~(abs(mp)\u003e1e12)\r\n valid=0\r\n end\r\nelse\r\n if abs(mp-mexp)\u003e1e-6\r\n valid=0\r\n end\r\nend\r\n\r\n\r\nassert(valid)\r\n\r\n%%\r\nvalid=1;\r\npx=6;py=8;cx=1;cy=-2;R=5;\r\nxy=TangentPoints_onCircle(px,py,cx,cy,R)\r\n\r\n%Verify line from (cx,cy) to (x3,y3) slope is -1/slope of (px,py) to (x3,y3), orthogonal\r\nmexp=-(xy(2,1)-cx)/(xy(2,2)-cy)\r\nmp=(xy(2,2)-py)/(xy(2,1)-px)\r\nif abs(mexp)\u003e1e12 % Inf slope allow +/- match\r\n if ~(abs(mp)\u003e1e12)\r\n valid=0\r\n end\r\nelse\r\n if abs(mp-mexp)\u003e1e-6\r\n valid=0\r\n end\r\nend\r\n\r\nmexp=-(xy(1,1)-cx)/(xy(1,2)-cy)\r\nmp=(xy(1,2)-py)/(xy(1,1)-px)\r\nif abs(mexp)\u003e1e12 % Inf slope allow +/- match\r\n if ~(abs(mp)\u003e1e12)\r\n valid=0\r\n end\r\nelse\r\n if abs(mp-mexp)\u003e1e-6\r\n valid=0\r\n end\r\nend\r\n\r\n\r\nassert(valid)\r\n\r\n%%\r\nvalid=1;\r\n%px=6;py=8;cx=1;cy=-2;R=5;\r\ncx=-5*rand; cy=-5*rand; R=4+rand;\r\npx=3+2*rand; py=3+2*rand;\r\n[px py cx cy R]\r\nxy=TangentPoints_onCircle(px,py,cx,cy,R)\r\n\r\n%Verify line from (cx,cy) to (x3,y3) slope is -1/slope of (px,py) to (x3,y3), orthogonal\r\nmexp=-(xy(2,1)-cx)/(xy(2,2)-cy)\r\nmp=(xy(2,2)-py)/(xy(2,1)-px)\r\nif abs(mexp)\u003e1e12 % Inf slope allow +/- match\r\n if ~(abs(mp)\u003e1e12)\r\n valid=0\r\n end\r\nelse\r\n if abs(mp-mexp)\u003e1e-6\r\n valid=0\r\n end\r\nend\r\n\r\nmexp=-(xy(1,1)-cx)/(xy(1,2)-cy)\r\nmp=(xy(1,2)-py)/(xy(1,1)-px)\r\nif abs(mexp)\u003e1e12 % Inf slope allow +/- match\r\n if ~(abs(mp)\u003e1e12)\r\n valid=0\r\n end\r\nelse\r\n if abs(mp-mexp)\u003e1e-6\r\n valid=0\r\n end\r\nend\r\n\r\n\r\nassert(valid)\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":3097,"edited_by":3097,"edited_at":"2023-08-12T23:33:27.000Z","deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-08-12T21:15:25.000Z","updated_at":"2023-08-12T23:33:27.000Z","published_at":"2023-08-12T23:33:27.000Z","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\u003eFrom a point where do the lines touch a circle tangentially?. The \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://math.stackexchange.com/questions/913239/given-circle-and-point-where-does-the-tangential-line-through-the-point-touch-t\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eloldrup\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e solution may provide some guidance and alternate method. I will elaborate a more reference frame modification geometric solution utilizing Matlab specific functions, rotation matrix, and translation matrix.\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 point(px,py) and circle [cx,cy,R] return the circle points [x3 y3;x4 y4] where lines thru the point are tangential to the circle. The line ([px,py],[x3,y3]) is tangential to circle [cx,cy,R] at circle point [x3,y3]. D\u0026gt;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:r\u003e\u003cw:t\u003eThe below figure is created based upon h=P=distance([cx,cy],[px,py])/2=D/2, translating (cx,cy) to (0,0), and rotating (px,py) to be on the Y-axis. From this manipulation two right triangles are apparent: [X,Y,R] and [X,h-Y,P]. Subtracting and simplifying these triangles leads to Y and two X values after substituting back into R^2=X^+Y^2 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\u003eP^2=X^2+(h-Y)^2 and R^2=X^2+Y^2 after subtraction gives R^2-P^2=Y^2-(h-Y)^2 = Y^2-h^2+2hY-Y^2=2hY-h^2 thus\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=(R^2-P^2+h^2)/(2h) =(R^2-P^2+P^2)/(2P)=R^2/(2P)=R^2/D\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eX=+/- (R^2-Y^2)^.5=+/- (R^2-(R^2/(2P))^2)^0.5=+/- R*(1-(R/D)^2)^0.5\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\u003eThe trick is to now un-rotate and translate this solution matrix using t=atan2(dx,dy), [cos(t) -sin(t);sin(t) cos(t)] and [cx cy]\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\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=\\\"551\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"419\\\"/\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\u003eThis figure shows the point (px,py) rotated onto the Y-axis at position 2P. The circle (cx,cy) has been shifted to the origin with radius R. The green line shows a tangent at (x,y) from (px,py). A second tangent point is at (-x.y). D=2*P\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":58852,"title":"Intersection(s) of Circles","description":"Do two given circles intersect in Zero, One, or Two points and provide the intersection(s). The Stafford method may provide some guidance and alternate solution method. I will elaborate a more geometric solution utilizing Matlab specific functions, rotation matrix, and translation matrix. Assumption is that Matlab function circcirc is not available.\r\nGiven circles [x1,y1,R] and [x2,y2,P] return the intersections [], [x y], or [x y;x y].\r\nThe below figure is created based upon d=distance([x1,y1],[x2,y2]), translating (x1,y1) to (0,0), and rotating (x2,y2) to be on the Y-axis. From this manipulation two right triangles are apparent: [X,Y,R] and [X,d-Y,P]. Subtracting and simplifying these triangles leads to Y and two X values after substituting back into R^2=X^+Y^2 equation.\r\nP^2=X^2+(d-Y)^2 and R^2=X^2+Y^2 after subtraction gives R^2-P^2=Y^2-(d-Y)^2 = Y^2-d^2+2dY-Y^2=2dY-d^2 thus\r\nY=(R^2-P^2+d^2)/(2d) and X=+/- (R^2-Y^2)^.5\r\nThe trick is to now un-rotate and translate this solution matrix using t=atan2(dx,dy), [cos(t) -sin(t);sin(t) cos(t)] and [x1 y1]\r\n\r\n \r\nDiagram showing a normalization of posed problem where (x1,y1) is placed at origin and (x2,y2) is placed on Y-axis at distance d. Final (x,y) values will require rotation and shifting.","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: 1000.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 500.25px; transform-origin: 407px 500.25px; 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: 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: 296px 8px; transform-origin: 296px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eDo two given circles intersect in Zero, One, or Two points and provide the intersection(s). The \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/answers/196755-fsolve-to-find-circle-intersections\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eStafford\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: 42.5px 8px; transform-origin: 42.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e method may provide some guidance and alternate solution method. I will elaborate a more geometric solution utilizing Matlab specific functions, rotation matrix, and translation matrix. Assumption is that Matlab function circcirc is not available.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 248px 8px; transform-origin: 248px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven circles [x1,y1,R] and [x2,y2,P] return the intersections [], [x y], or [x y;x y].\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 380.5px 8px; transform-origin: 380.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe below figure is created based upon d=distance([x1,y1],[x2,y2]), translating (x1,y1) to (0,0), and rotating (x2,y2) to be on the Y-axis. From this manipulation two right triangles are apparent: [X,Y,R] and [X,d-Y,P]. Subtracting and simplifying these triangles leads to Y and two X values after substituting back into R^2=X^+Y^2 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: 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: 358px 8px; transform-origin: 358px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eP^2=X^2+(d-Y)^2 and R^2=X^2+Y^2 after subtraction gives R^2-P^2=Y^2-(d-Y)^2 = Y^2-d^2+2dY-Y^2=2dY-d^2 thus\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 143px 8px; transform-origin: 143px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eY=(R^2-P^2+d^2)/(2d) and X=+/- (R^2-Y^2)^.5\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 379px 8px; transform-origin: 379px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe trick is to now un-rotate and translate this solution matrix using t=atan2(dx,dy), [cos(t) -sin(t);sin(t) cos(t)] and [x1 y1]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 655.5px; 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 327.75px; text-align: left; transform-origin: 384px 327.75px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 482px;height: 650px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\" width=\"482\" height=\"650\"\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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\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: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; 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: 370.5px 8px; transform-origin: 370.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eDiagram showing a normalization of posed problem where (x1,y1) is placed at origin and (x2,y2) is placed on Y-axis at distance d. Final (x,y) values will require rotation and shifting.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function xy = circle_intersections(x1,y1,R,x2,y2,P)\r\n d2=(x1-x2)^2+(y1-y2)^2;\r\n d=d2^0.5;\r\n xy=[];\r\n if d\u003eP+R,return;end % No intersection due to C-C separation\r\n % Two other No intersection Cases can be determined using d,P,R\r\n %if ,return;end % No intersection, smaller R is inside larger P\r\n %if ,return;end % No intersection, smaller P is inside larger R\r\n \r\n %Single point intersections\r\n if d==P+R\r\n xy=[0 R];\r\n elseif d-P==-R\r\n %xy=[];\r\n elseif d+P==R\r\n %xy=\r\n end\r\n \r\n if isempty(xy) % Dual Solutions\r\n %y=\r\n %x=\r\n %xy=[ ; ];\r\n end\r\n \r\n %Rotation Angle: atan2\r\n theta=atan2(x2-x1,y2-y1); % (X,Y) output radians Neg Left of vert, Pos Right of Vert\r\n \r\n %Rotation Matrix: [cos(t) -sin(t);sin(t) cos(t)]\r\n %Translation matrix: [x1 y1]\r\n %Check of (x2,y2) being regenerated from d, theta, and translation\r\n [xy2c]=[0 d]*[cos(theta) -sin(theta);sin(theta) cos(theta)]+[x1 y1]\r\n [x2 y2]\r\n \r\n %xy=\r\n \r\n \r\n \r\nend % circle_intersections","test_suite":"%%\r\nvalid=1;\r\nx1=0;y1=0;R=6;\r\nx2=0;y2=10;P=8;\r\nxy = circle_intersections(x1,y1,R,x2,y2,P)\r\nif size(xy,1)~=2\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x1 y1]).^2,2)-R^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x2 y2]).^2,2)-P^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nassert(valid)\r\n%%\r\nvalid=1;\r\nx1=0;y1=0;R=6;\r\nx2=10;y2=0;P=8;\r\nxy = circle_intersections(x1,y1,R,x2,y2,P)\r\nif size(xy,1)~=2\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x1 y1]).^2,2)-R^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x2 y2]).^2,2)-P^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nassert(valid)\r\n%%\r\nvalid=1;\r\nx1=0;y1=0;R=6;\r\nx2=-10;y2=0;P=8;\r\nxy = circle_intersections(x1,y1,R,x2,y2,P)\r\nif size(xy,1)~=2\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x1 y1]).^2,2)-R^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x2 y2]).^2,2)-P^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nassert(valid)\r\n%%\r\nvalid=1;\r\nx1=0;y1=0;R=6;\r\nx2=0;y2=-10;P=8;\r\nxy = circle_intersections(x1,y1,R,x2,y2,P)\r\nif size(xy,1)~=2\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x1 y1]).^2,2)-R^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x2 y2]).^2,2)-P^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nassert(valid)\r\n%%\r\nvalid=1;\r\nx1=4;y1=4;R=6;\r\nx2=6;y2=-2;P=8;\r\nxy = circle_intersections(x1,y1,R,x2,y2,P)\r\nif size(xy,1)~=2\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x1 y1]).^2,2)-R^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x2 y2]).^2,2)-P^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nassert(valid)\r\n%%\r\nvalid=1;\r\nx1=-4;y1=-4;R=4;\r\nx2=-4;y2=8;P=8;\r\nxy = circle_intersections(x1,y1,R,x2,y2,P)\r\nif size(xy,1)~=1\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x1 y1]).^2,2)-R^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x2 y2]).^2,2)-P^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nassert(valid)\r\n%%\r\nvalid=1;\r\nx1=3;y1=1;R=4;\r\nx2=3;y2=5;P=8;\r\nxy = circle_intersections(x1,y1,R,x2,y2,P)\r\nif size(xy,1)~=1\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x1 y1]).^2,2)-R^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x2 y2]).^2,2)-P^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nassert(valid)\r\n%%\r\nvalid=1;\r\nx1=-2;y1=1;R=10;\r\nx2=0;y2=1;P=8;\r\nxy = circle_intersections(x1,y1,R,x2,y2,P)\r\nif size(xy,1)~=1\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x1 y1]).^2,2)-R^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x2 y2]).^2,2)-P^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nassert(valid)\r\n%%\r\nvalid=1;\r\nx1=2;y1=1;R=1;\r\nx2=8;y2=8;P=2;\r\nxy = circle_intersections(x1,y1,R,x2,y2,P)\r\nif ~isempty(xy)\r\n valid=0;\r\nend\r\nassert(valid)\r\n%%\r\nvalid=1;\r\nx1=2;y1=1;R=1;\r\nx2=2;y2=1;P=2;\r\nxy = circle_intersections(x1,y1,R,x2,y2,P)\r\nif ~isempty(xy)\r\n valid=0;\r\nend\r\nassert(valid)\r\n%%\r\nvalid=1;\r\nx1=2;y1=2;R=1;\r\nx2=3;y2=3;P=3;\r\nxy = circle_intersections(x1,y1,R,x2,y2,P)\r\nif ~isempty(xy)\r\n valid=0;\r\nend\r\nassert(valid)\r\n%%\r\nvalid=1;\r\nx1=2;y1=2;R=5;\r\nx2=3;y2=3;P=1;\r\nxy = circle_intersections(x1,y1,R,x2,y2,P)\r\nif ~isempty(xy)\r\n valid=0;\r\nend\r\nassert(valid)\r\n%%\r\nvalid=1;\r\nx1=rand;y1=4+rand;R=6+rand;\r\n[x1 y1 R]\r\nx2=-1+rand;y2=-3+rand;P=8+rand;\r\n[x2 y2 P]\r\nxy = circle_intersections(x1,y1,R,x2,y2,P)\r\nif size(xy,1)~=2\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x1 y1]).^2,2)-R^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x2 y2]).^2,2)-P^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nassert(valid)\r\n%%\r\nvalid=1;\r\nx1=-1+rand;y1=-3+rand;R=8+rand;\r\n[x1 y1 R]\r\nx2=rand;y2=4+rand;P=6+rand;\r\n[x2 y2 P]\r\nxy = circle_intersections(x1,y1,R,x2,y2,P)\r\nif size(xy,1)~=2\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x1 y1]).^2,2)-R^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x2 y2]).^2,2)-P^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nassert(valid)\r\n\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":1,"created_by":3097,"edited_by":3097,"edited_at":"2023-08-11T15:10:45.000Z","deleted_by":null,"deleted_at":null,"solvers_count":6,"test_suite_updated_at":"2023-08-11T15:10:45.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2023-08-10T16:45:31.000Z","updated_at":"2023-08-11T15:10:45.000Z","published_at":"2023-08-10T19:02:14.000Z","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\u003eDo two given circles intersect in Zero, One, or Two points and provide the intersection(s). The \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/answers/196755-fsolve-to-find-circle-intersections\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eStafford\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e method may provide some guidance and alternate solution method. I will elaborate a more geometric solution utilizing Matlab specific functions, rotation matrix, and translation matrix. Assumption is that Matlab function circcirc is not available.\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 circles [x1,y1,R] and [x2,y2,P] return the intersections [], [x y], or [x y;x 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\u003eThe below figure is created based upon d=distance([x1,y1],[x2,y2]), translating (x1,y1) to (0,0), and rotating (x2,y2) to be on the Y-axis. From this manipulation two right triangles are apparent: [X,Y,R] and [X,d-Y,P]. Subtracting and simplifying these triangles leads to Y and two X values after substituting back into R^2=X^+Y^2 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\u003eP^2=X^2+(d-Y)^2 and R^2=X^2+Y^2 after subtraction gives R^2-P^2=Y^2-(d-Y)^2 = Y^2-d^2+2dY-Y^2=2dY-d^2 thus\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=(R^2-P^2+d^2)/(2d) and X=+/- (R^2-Y^2)^.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\u003eThe trick is to now un-rotate and translate this solution matrix using t=atan2(dx,dy), [cos(t) -sin(t);sin(t) cos(t)] and [x1 y1]\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\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=\\\"650\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"482\\\"/\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\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\u003eDiagram showing a normalization of posed problem where (x1,y1) is placed at origin and (x2,y2) is placed on Y-axis at distance d. Final (x,y) values will require rotation and shifting.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":1651,"title":"Circumcircle Points","description":"Determine the radius of the minimum sized circle that encompasses all the points.\r\n\r\nPer \u003chttp://www.inf.ethz.ch/personal/gaertner/texts/own_work/esa99_final.pdf Smallest Sphere Paper\u003e this question was first addressed by Sylvester in 1857, Megiddo in 1982, and optimized by Emo Welzl in 1991.\r\n\r\n*Input:* Points (eg [0 0;0 1;2 0]) Minimum of 3 points\r\n\r\n*Output:* r (radius of optimally centered circle)\r\n\r\n*Example:* [0 0;0 1;2 0] yields [xc,yc,r] [1 .5 1.118] Output r=1.118\r\n\r\n*Theory:*\r\nBest Circumcircle may occur in two ways:\r\n\r\n1) Center of Line connecting pair with maximum separation, or\r\n\r\n2) A circle utilizing three points from the set\r\n\r\n*Related Challenges:*\r\n\r\n\u003chttp://www.mathworks.com/matlabcentral/cody/problems/1336-geometry-find-circle-given-3-non-colinear-points/solutions/map Circle from 3 Points\u003e\r\n\r\n\u003chttp://www.mathworks.com/matlabcentral/cody/problems/554-is-the-point-in-a-circle/solutions/map Are Points in Circle\u003e\r\n\r\n*Warning:* Rounding Errors may cause solution errors. Usage of 10*eps(r) may be appropriate.\r\n\r\n\r\n","description_html":"\u003cp\u003eDetermine the radius of the minimum sized circle that encompasses all the points.\u003c/p\u003e\u003cp\u003ePer \u003ca href = \"http://www.inf.ethz.ch/personal/gaertner/texts/own_work/esa99_final.pdf\"\u003eSmallest Sphere Paper\u003c/a\u003e this question was first addressed by Sylvester in 1857, Megiddo in 1982, and optimized by Emo Welzl in 1991.\u003c/p\u003e\u003cp\u003e\u003cb\u003eInput:\u003c/b\u003e Points (eg [0 0;0 1;2 0]) Minimum of 3 points\u003c/p\u003e\u003cp\u003e\u003cb\u003eOutput:\u003c/b\u003e r (radius of optimally centered circle)\u003c/p\u003e\u003cp\u003e\u003cb\u003eExample:\u003c/b\u003e [0 0;0 1;2 0] yields [xc,yc,r] [1 .5 1.118] Output r=1.118\u003c/p\u003e\u003cp\u003e\u003cb\u003eTheory:\u003c/b\u003e\r\nBest Circumcircle may occur in two ways:\u003c/p\u003e\u003cp\u003e1) Center of Line connecting pair with maximum separation, or\u003c/p\u003e\u003cp\u003e2) A circle utilizing three points from the set\u003c/p\u003e\u003cp\u003e\u003cb\u003eRelated Challenges:\u003c/b\u003e\u003c/p\u003e\u003cp\u003e\u003ca href = \"http://www.mathworks.com/matlabcentral/cody/problems/1336-geometry-find-circle-given-3-non-colinear-points/solutions/map\"\u003eCircle from 3 Points\u003c/a\u003e\u003c/p\u003e\u003cp\u003e\u003ca href = \"http://www.mathworks.com/matlabcentral/cody/problems/554-is-the-point-in-a-circle/solutions/map\"\u003eAre Points in Circle\u003c/a\u003e\u003c/p\u003e\u003cp\u003e\u003cb\u003eWarning:\u003c/b\u003e Rounding Errors may cause solution errors. Usage of 10*eps(r) may be appropriate.\u003c/p\u003e","function_template":"function r = Circumcircle_radius(pts)\r\n r=0;\r\nend","test_suite":"%%\r\npts=[0 0;5 0;1.8 2.4]; % 3 4 5 triangle\r\nr_exp=2.5;\r\nr = Circumcircle_radius(pts);\r\nassert(abs(r-r_exp)\u003c.001)\r\n%%\r\npts=[0 0;6 0;1.8 2.4]; % 3 x 6 triangle\r\nr_exp=3; % Two Point Solver\r\nr = Circumcircle_radius(pts);\r\nassert(abs(r-r_exp)\u003c.001)\r\n%%\r\npts=[0 0;0 1;1 2;3 0]; % r^2=2.5\r\nr_exp=sqrt(2.5);\r\nr = Circumcircle_radius(pts);\r\nassert(abs(r-r_exp)\u003c.001)\r\n%%\r\npts=[0 1; 0 3; 0 4; 2 6; 3 0; 4 5]; % r2 9.2820069 \r\nr_exp=sqrt(9.2820069 );\r\nr = Circumcircle_radius(pts);\r\nassert(abs(r-r_exp)\u003c.001)\r\n%%\r\npts=[0,2;0,6;1,1;3,0;3,3;4,10;5,10;7,2;9,7]; % r2 26.6919 \r\nr_exp=sqrt(26.6919420552286 );\r\nr = Circumcircle_radius(pts);\r\nassert(abs(r-r_exp)\u003c.001)\r\n%%\r\npts=[0,19;1,25;1,30;1,34;3,11;4,30;8,17;9,6;11,44;12,45;15,46;21,0;21,9;21,48;22,42;26,11;31,40;34,27;37,44;39,34;41,8;43,9;43,10;46,16;46,35;48,23]; % r2 exp 608.7807\r\nr_exp=sqrt(608.780718525455);\r\nr = Circumcircle_radius(pts);\r\nassert(abs(r-r_exp)\u003c.001)\r\n%%\r\n% Random case to avoid hard coders\r\nxc=rand;\r\nyc=rand;\r\nr=.5+rand;\r\npts=[];\r\n% Equilateral points\r\npts(1,:)=[xc+r,yc];\r\npts(2,:)=[xc+r*cos(2*pi/3),yc+r*sin(2*pi/3)];\r\npts(3,:)=[xc+r*cos(-2*pi/3),yc+r*sin(-2*pi/3)];\r\nfor i=4:10\r\n rnew=rand*r;\r\n theta=randi(360)*pi/180;\r\n pts(i,:)=[xc+rnew*cos(theta),yc+rnew*sin(theta)];\r\nend\r\npts=pts(randperm(size(pts,1)),:);\r\nr_exp=r;\r\nr = Circumcircle_radius(pts);\r\nassert(abs(r-r_exp)\u003c.001)\r\n%%\r\n% Random case to avoid hard coders\r\nxc=rand;\r\nyc=rand;\r\nr=.5+rand;\r\npts=[];\r\n% Equilateral points\r\npts(1,:)=[xc+r,yc];\r\npts(2,:)=[xc+r*cos(2*pi/3),yc+r*sin(2*pi/3)];\r\npts(3,:)=[xc+r*cos(-2*pi/3),yc+r*sin(-2*pi/3)];\r\nfor i=4:30\r\n rnew=rand*r;\r\n theta=randi(360)*pi/180;\r\n pts(i,:)=[xc+rnew*cos(theta),yc+rnew*sin(theta)];\r\nend\r\npts=pts(randperm(size(pts,1)),:);\r\nr_exp=r;\r\nr = Circumcircle_radius(pts);\r\nassert(abs(r-r_exp)\u003c.001)\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":3097,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2013-06-17T00:11:46.000Z","updated_at":"2013-06-17T00:27:11.000Z","published_at":"2013-06-17T00:27:11.000Z","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\u003eDetermine the radius of the minimum sized circle that encompasses all the 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\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ePer\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://www.inf.ethz.ch/personal/gaertner/texts/own_work/esa99_final.pdf\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eSmallest Sphere Paper\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e this question was first addressed by Sylvester in 1857, Megiddo in 1982, and optimized by Emo Welzl in 1991.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eInput:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e Points (eg [0 0;0 1;2 0]) Minimum of 3 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\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eOutput:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e r (radius of optimally centered circle)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e [0 0;0 1;2 0] yields [xc,yc,r] [1 .5 1.118] Output r=1.118\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTheory:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e Best Circumcircle may occur in two ways:\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\u003e1) Center of Line connecting pair with maximum separation, or\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\u003e2) A circle utilizing three points from the set\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eRelated Challenges:\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:hyperlink w:docLocation=\\\"http://www.mathworks.com/matlabcentral/cody/problems/1336-geometry-find-circle-given-3-non-colinear-points/solutions/map\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eCircle from 3 Points\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"http://www.mathworks.com/matlabcentral/cody/problems/554-is-the-point-in-a-circle/solutions/map\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eAre Points in Circle\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eWarning:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e Rounding Errors may cause solution errors. Usage of 10*eps(r) may be appropriate.\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":58956,"title":"Find the nine-point circle of a triangle","description":"Cody Problem 1336 asks us to find the circle that circumscribes a triangle, and Cody Problem 58354 asks us to find the circle that is inscribed in a triangle. This problem deals with the nine-point circle of a triangle—the circle that passes through the midpoints of the sides, the feet of the altitudes, and the midpoints of the line segments connecting the vertices to the orthocenter (the intersection of the altitudes). \r\nWrite a function that takes the x- and y-coordinates of three points describing the vertices of a triangle and returns the center and radius of the nine-point circle, as well as the x- and y-coordinates of the nine points.\r\n\r\n\r\nImage from Wikipedia","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: 573.7px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 286.85px; transform-origin: 407px 286.85px; vertical-align: baseline; \"\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: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/1336\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 1336\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: 183.192px 8px; transform-origin: 183.192px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e asks us to find the circle that circumscribes a triangle, and \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58354\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 58354\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: 60.275px 8px; transform-origin: 60.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e asks us to find the circle that is inscribed in a triangle. This problem deals with the nine-point circle of a triangle—the circle that passes through the midpoints of the sides, the feet of the altitudes, and the midpoints of the line segments connecting the vertices to the orthocenter (the intersection of the altitudes). \u003c/span\u003e\u003c/span\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: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; 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: 365.1px 8px; transform-origin: 365.1px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that takes the x- and y-coordinates of three points describing the vertices of a triangle and returns the center and radius of the nine-point circle, as well as the x- and y-coordinates of the nine points.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 369.7px; 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 184.85px; text-align: left; transform-origin: 384px 184.85px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"364\" height=\"364\" style=\"vertical-align: baseline;width: 364px;height: 364px\" src=\"https://upload.wikimedia.org/wikipedia/commons/7/71/Nine-point_circle.svg\" 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; 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: 67.6833px 8px; transform-origin: 67.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eImage from Wikipedia\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [x0,y0,r,x9,y9] = ninePtCircle(x,y)\r\n x0 = mean(x);\r\n y0 = mean(y);\r\n r = hypot(x,y);\r\n x9 = 9*x0;\r\n y9 = 9*y0;\r\nend","test_suite":"%%\r\nx = [1 4 5];\r\ny = [2 1 6];\r\nx0_correct = 3.375;\r\ny0_correct = 2.625;\r\nr_correct = 1.425219281373922;\r\nx9_correct = [2.25 2.5 3.4 3.75 53/13 4.5 4.25 3 2];\r\ny9_correct = [7/4 3/2 6/5 5/4 18/13 7/2 15/4 4 3];\r\n[x0,y0,r,x9,y9] = ninePtCircle(x,y);\r\n[~,indx] = sort(angle(complex(x9-x0,y9-y0)));\r\nX9 = x9(indx);\r\nY9 = y9(indx);\r\nassert(abs(x0-x0_correct)\u003c1e-10)\r\nassert(abs(y0-y0_correct)\u003c1e-10)\r\nassert(abs(r-r_correct)\u003c1e-10)\r\nassert(all(abs(X9-x9_correct)\u003c1e-10))\r\nassert(all(abs(Y9-y9_correct)\u003c1e-10))\r\n\r\n%%\r\nx = [-1 0 2];\r\ny = [0 3 0];\r\nx0_correct = 1/4;\r\ny0_correct = 11/12;\r\nr_correct = 0.950146187582615;\r\nx9_correct = [-0.7 -0.5 0 0.5 1 14/13 1 0 -0.5];\r\ny9_correct = [0.9 1/3 0 0 1/3 18/13 1.5 11/6 1.5];\r\n[x0,y0,r,x9,y9] = ninePtCircle(x,y);\r\n[~,indx] = sort(angle(complex(x9-x0,y9-y0)));\r\nX9 = x9(indx);\r\nY9 = y9(indx);\r\nassert(abs(x0-x0_correct)\u003c1e-10)\r\nassert(abs(y0-y0_correct)\u003c1e-10)\r\nassert(abs(r-r_correct)\u003c1e-10)\r\nassert(all(abs(X9-x9_correct)\u003c1e-10))\r\nassert(all(abs(Y9-y9_correct)\u003c1e-10))\r\n\r\n%%\r\nx = [0 2 0];\r\ny = [-1 0 1];\r\nx0_correct = 0.625;\r\ny0_correct = 0;\r\nr_correct = 0.625;\r\nx9_correct = [0.25 0.8 1 1.25 1 0.8 0.25 0 0];\r\ny9_correct = [-0.5 -0.6 -0.5 0 0.5 0.6 0.5 0 0];\r\n[x0,y0,r,x9,y9] = ninePtCircle(x,y);\r\n[~,indx] = sort(angle(complex(x9-x0,y9-y0)));\r\nX9 = x9(indx);\r\nY9 = y9(indx);\r\nassert(abs(x0-x0_correct)\u003c1e-10)\r\nassert(abs(y0-y0_correct)\u003c1e-10)\r\nassert(abs(r-r_correct)\u003c1e-10)\r\nassert(all(abs(X9-x9_correct)\u003c1e-10))\r\nassert(all(abs(Y9-y9_correct)\u003c1e-10))\r\n\r\n%%\r\nx = [-1 0 1];\r\ny = [0 4 0];\r\nx0_correct = 0;\r\ny0_correct = 1.0625;\r\nr_correct = 1.0625;\r\nx9_correct = [-15/17 -0.5 0 0 0.5 15/17 0.5 0 -0.5];\r\ny9_correct = [8/17 1/8 0 0 1/8 8/17 2 17/8 2];\r\n[x0,y0,r,x9,y9] = ninePtCircle(x,y);\r\n[~,indx] = sort(angle(complex(x9-x0,y9-y0)));\r\nX9 = x9(indx);\r\nY9 = y9(indx);\r\nassert(abs(x0-x0_correct)\u003c1e-10)\r\nassert(abs(y0-y0_correct)\u003c1e-10)\r\nassert(abs(r-r_correct)\u003c1e-10)\r\nassert(all(abs(X9-x9_correct)\u003c1e-10))\r\nassert(all(abs(Y9-y9_correct)\u003c1e-10))\r\n\r\n%%\r\nx = [0 4 1];\r\ny = [0 1 6];\r\nx0_correct = 165/92;\r\ny0_correct = 191/92;\r\nr_correct = 1.589560103692659;\r\nx9_correct = [10/37 25/23 2 40/17 71/23 115/34 5/2 73/46 1/2];\r\ny9_correct = [60/37 15/23 1/2 10/17 53/46 69/34 7/2 84/23 3];\r\n[x0,y0,r,x9,y9] = ninePtCircle(x,y);\r\n[~,indx] = sort(angle(complex(x9-x0,y9-y0)));\r\nX9 = x9(indx);\r\nY9 = y9(indx);\r\nassert(abs(x0-x0_correct)\u003c1e-10)\r\nassert(abs(y0-y0_correct)\u003c1e-10)\r\nassert(abs(r-r_correct)\u003c1e-10)\r\nassert(all(abs(X9-x9_correct)\u003c1e-10))\r\nassert(all(abs(Y9-y9_correct)\u003c1e-10))\r\n\r\n%%\r\nx = [-4 -2 0];\r\ny = [-8 -2 -6];\r\nx0_correct = -1.5;\r\ny0_correct = -5.5;\r\nr_correct = 1.581138830084190;\r\nx9_correct = [-2 -2 0 0 0 -1 -1 -3 -3];\r\ny9_correct = [-7 -7 -6 -6 -6 -4 -4 -5 -5];\r\n[x0,y0,r,x9,y9] = ninePtCircle(x,y);\r\n[~,indx] = sort(angle(complex(x9-x0,y9-y0)));\r\nX9 = x9(indx);\r\nY9 = y9(indx);\r\nassert(abs(x0-x0_correct)\u003c1e-10)\r\nassert(abs(y0-y0_correct)\u003c1e-10)\r\nassert(abs(r-r_correct)\u003c1e-10)\r\nassert(all(abs(X9-x9_correct)\u003c1e-10))\r\nassert(all(abs(Y9-y9_correct)\u003c1e-10))\r\n\r\n%%\r\nfiletext = fileread('ninePtCircle.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":0,"comments_count":7,"created_by":46909,"edited_by":46909,"edited_at":"2023-09-14T12:45:42.000Z","deleted_by":null,"deleted_at":null,"solvers_count":3,"test_suite_updated_at":"2023-09-14T12:45:42.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2023-09-03T22:43:36.000Z","updated_at":"2023-09-14T12:45:42.000Z","published_at":"2023-09-03T22:43:55.000Z","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:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/1336\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 1336\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e asks us to find the circle that circumscribes a triangle, and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58354\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 58354\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e asks us to find the circle that is inscribed in a triangle. This problem deals with the nine-point circle of a triangle—the circle that passes through the midpoints of the sides, the feet of the altitudes, and the midpoints of the line segments connecting the vertices to the orthocenter (the intersection of the altitudes). \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\u003eWrite a function that takes the x- and y-coordinates of three points describing the vertices of a triangle and returns the center and radius of the nine-point circle, as well as the x- and y-coordinates of the nine 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\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:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"364\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"364\\\"/\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\u003eImage from Wikipedia\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.svg\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.svg\",\"contentType\":\"image/svg\",\"content\":\"https://upload.wikimedia.org/wikipedia/commons/7/71/Nine-point_circle.svg\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":558,"title":"Is the Point in a Triangle?","description":"Check whether a point or multiple points is/are in a triangle with three corners\r\n Points = [x, y]; \r\n Triangle = [x1, y1; x2, y2; x3, y3]\r\nReturn true or false for each point tested.\r\n For example,\r\n input: Points = [0, 0.5]; Triangle = [0, 0; 1, 0; 1, 1]\r\n output: y = 0;","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: 174.167px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.5px 87.0833px; transform-origin: 406.5px 87.0833px; 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: 383.5px 10.5px; text-align: left; transform-origin: 383.5px 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: 249.017px 7.81667px; transform-origin: 249.017px 7.81667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCheck whether a point or multiple points is/are in a triangle with three corners\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: 403.5px 20.4333px; transform-origin: 403.5px 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: 1.11667px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1.11667px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1.11667px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1.11667px; 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: 403.5px 10.2167px; text-wrap-mode: nowrap; transform-origin: 403.5px 10.2167px; \"\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: 70.35px 8.375px; tab-size: 4; transform-origin: 70.35px 8.375px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e Points = [x, y]; \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: 1.11667px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1.11667px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1.11667px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1.11667px; 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: 403.5px 10.2167px; text-wrap-mode: nowrap; transform-origin: 403.5px 10.2167px; \"\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: 140.7px 8.375px; tab-size: 4; transform-origin: 140.7px 8.375px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e Triangle = [x1, y1; x2, y2; x3, y3]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 383.5px 10.5px; text-align: left; transform-origin: 383.5px 10.5px; 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: 131.767px 7.81667px; transform-origin: 131.767px 7.81667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eReturn true or false for each point tested.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 61.3px; 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: 403.5px 30.65px; transform-origin: 403.5px 30.65px; 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: 1.11667px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1.11667px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1.11667px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1.11667px; 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: 403.5px 10.2167px; text-wrap-mode: nowrap; transform-origin: 403.5px 10.2167px; \"\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: 50.8083px 8.375px; tab-size: 4; transform-origin: 50.8083px 8.375px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 19.5417px 8.375px; transform-origin: 19.5417px 8.375px; \"\u003e For \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 27.3583px 8.375px; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 27.3583px 8.375px; \"\u003eexample\u003c/span\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 3.90833px 8.375px; transform-origin: 3.90833px 8.375px; \"\u003e,\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: 1.11667px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1.11667px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1.11667px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1.11667px; 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: 403.5px 10.2167px; text-wrap-mode: nowrap; transform-origin: 403.5px 10.2167px; \"\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: 218.867px 8.375px; tab-size: 4; transform-origin: 218.867px 8.375px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e input: Points = [0, 0.5]; Triangle = [0, 0; 1, 0; 1, 1]\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: 1.11667px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1.11667px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1.11667px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1.11667px; 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: 403.5px 10.2167px; text-wrap-mode: nowrap; transform-origin: 403.5px 10.2167px; \"\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: 58.625px 8.375px; tab-size: 4; transform-origin: 58.625px 8.375px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e output: y = 0;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = your_fcn_name(Points, Triangle)\r\n y = 0;\r\nend","test_suite":"%%\r\nTriangle = [0, 0; 1, 0; 1, 1]; Points = [0, 0.5]\r\ny_correct = 0;\r\nassert(isequal(your_fcn_name(Points,Triangle),y_correct))\r\n\r\n%%\r\nTriangle = [0, 0; 1, 0; 1, 1]; Points = [0.8, 0.5]\r\ny_correct = 1;\r\nassert(isequal(your_fcn_name(Points,Triangle),y_correct))\r\n\r\n%%\r\nTriangle = [0.8147, 0.9134; 0.9058, 0.6324; 0.1270, 0.0975]; \r\nPoints = [0.8, 0.7; 0.9, 0.4]\r\ny_correct = [1 0];\r\nassert(isequal(your_fcn_name(Points,Triangle),y_correct))\r\n\r\n%%\r\nr = randi(10);\r\nTriangle = [0 0; 0 r; r 0]; \r\nPoints = 2*r*[1 1];\r\ny_correct = [0];\r\nassert(isequal(your_fcn_name(Points,Triangle),y_correct))\r\n\r\n%%\r\nfiletext = fileread('your_fcn_name.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || ...\r\n contains(filetext, 'flip(');\r\nassert(~illegal)\r\n","published":true,"deleted":false,"likes_count":36,"comments_count":12,"created_by":2906,"edited_by":223089,"edited_at":"2024-06-30T15:42:06.000Z","deleted_by":null,"deleted_at":null,"solvers_count":1717,"test_suite_updated_at":"2024-06-30T15:42:06.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2012-04-04T08:27:00.000Z","updated_at":"2026-04-07T03:06:47.000Z","published_at":"2012-04-04T08:31:13.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCheck whether a point or multiple points is/are in a triangle with three corners\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[ Points = [x, y]; \\n Triangle = [x1, y1; x2, y2; x3, y3]]]\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\u003eReturn true or false for each point tested.\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[ For example,\\n input: Points = [0, 0.5]; Triangle = [0, 0; 1, 0; 1, 1]\\n output: y = 0;]]\u003e\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":61082,"title":"Slicing the area of a circle","description":"Given the area, A, of a square, consider a circle having the area, πA, and the radius, r.\r\nFor a given slicing number n\u003e1, find the (n+1)×2 matrix, M = [A1/π a1; A2/π a2; ...; An/π an; A_r L], where\r\nin the first row (i=1), A1 stands for the area of one slice (like a pizza slice), and a1 stands for the logical 1 if A1 is smaller than or reaches the square's area A or a1 stands for the logical 0 if A1 surpasses A;\r\nin the second row (i=2), A2 stands for the area of two slices and a2 has the same previous false-true meaning relative to the areas A2 and A;\r\nand so on, until last slice of the circle;\r\nin the last row (i=n+1), A_r is the area of the rectangle, with dimensions L×r, which contains the maximum possible number of slices, such that have the true meaning of their sum has the area smaller or equal than the square's area, in their adjacent arrangement.\r\nHint: Compare with Problem 61081.\r\ninput: (A,n)\r\noutput: M = [A1/π a1; A2/π a2; ...; An/π an; A_r L]","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: 325.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 408px 162.75px; transform-origin: 408px 162.75px; 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: 384px 10.5px; text-align: left; transform-origin: 384px 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=\"\"\u003eGiven the area, \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, of a square, consider a circle having the area, \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eπA,\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and the radius, \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003er\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; unicode-bidi: normal; \"\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; padding-inline-start: 0px; padding-left: 0px; 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; \"\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=\"\"\u003eFor a given slicing number \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u0026gt;1\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, find 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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(n+1)\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e×\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e2\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e matrix, \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eM = [A1/π a1; A2/π a2; ...; An/π an; A_r L]\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, where\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 163.5px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 391px 81.75px; transform-origin: 391px 81.75px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 40.875px; 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 20.4375px; text-align: left; transform-origin: 363px 20.4375px; 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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ein the first row \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(i=1)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the area of one slice (like a pizza slice), and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ea1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the logical \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is smaller than or reaches the square's area \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e or \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ea1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the logical \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e0\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e surpasses \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 40.875px; 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 20.4375px; text-align: left; transform-origin: 363px 20.4375px; 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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ein the second row \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(i=2)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the area of two slices and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ea2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e has the same previous false-true meaning relative to the areas \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\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-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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand so on, until last slice of the circle;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 61.3125px; 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 30.65px; text-align: left; transform-origin: 363px 30.6562px; 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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ein the last row \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(i=n+1),\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA_r\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the area of the rectangle, with dimensions \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eL\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e×\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003er\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, which contains the maximum possible number of slices, such that have the true meaning of their sum has the area smaller or equal than the square's area, in their adjacent arrangement.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\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: 384px 10.5px; text-align: left; transform-origin: 384px 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=\"\"\u003eHint: Compare with \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/61081-slicing-the-area-of-a-regular-polygon\"\u003e\u003cspan style=\"border-block-end-color: rgb(0, 91, 130); border-block-start-color: rgb(0, 91, 130); border-bottom-color: rgb(0, 91, 130); border-inline-end-color: rgb(0, 91, 130); border-inline-start-color: rgb(0, 91, 130); border-left-color: rgb(0, 91, 130); border-right-color: rgb(0, 91, 130); border-top-color: rgb(0, 91, 130); caret-color: rgb(0, 91, 130); color: rgb(0, 91, 130); column-rule-color: rgb(0, 91, 130); outline-color: rgb(0, 91, 130); text-decoration-color: rgb(0, 91, 130); text-emphasis-color: rgb(0, 91, 130); \"\u003e\u003cspan style=\"\"\u003eProblem 61081\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; unicode-bidi: normal; \"\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; padding-inline-start: 0px; padding-left: 0px; 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; \"\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-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003einput:\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(A,n)\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: 384px 10.5px; text-align: left; transform-origin: 384px 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-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eoutput: \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eM = [A1/π a1; A2/π a2; ...; An/π an; A_r L]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function M = slicing_circle(A,n)\r\n M = x;\r\nend","test_suite":"%%\r\nA = 8;\r\nn = 4;\r\ny_correct = [2 1; 4 0; 6 0; 8 0; 8*sqrt(2) 4];\r\nY = slicing_circle(A,n);\r\ntolerance = 1e-13;\r\nassert(all(Y(1:n) == y_correct(1:n)) \u0026 ...\r\n abs(Y(end)-y_correct(end)) \u003c tolerance \u0026 all(Y(1:end,2) == y_correct(1:end,2)))\r\n\r\n%%\r\nA = 36;\r\nn = 6;\r\ny_correct = [6 1; 12 0; 18 0; 24 0; 30 0; 36 0; 36 6];\r\ntolerance = 1e-13;\r\nY = slicing_circle(A,n);\r\nassert(all(Y(1:n) == y_correct(1:n)) \u0026 all(Y(1:n,2) == y_correct(1:n,2)) \u0026 ...\r\n all(abs(Y(end,:)-y_correct(end,:)) \u003c tolerance))\r\n\r\n\r\n%%\r\nA = 36;\r\nn = 12;\r\ny_correct = [3 1; 6 1; 9 1; 12 0; 15 0; 18 0; 21 0; 24 0; 27 0; 30 0; 33 0; 36 0; ...\r\n 37.92731310242232 6.32121885040372];\r\ntolerance = 1e-13;\r\nY = slicing_circle(A,n);\r\nassert(all(Y(1:n) == y_correct(1:n)) \u0026 all(Y(1:n,2) == y_correct(1:n,2)) \u0026 ...\r\n all(abs(Y(end,:)-y_correct(end,:)) \u003c tolerance))\r\n\r\n%%\r\nfiletext = fileread('slicing_circle.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || ...\r\n contains(filetext, 'str2num'); \r\nassert(~illegal)\r\n\r\n%%\r\nA = 70;\r\nn = 7;\r\ny_correct = [10 1; 20 1; 30 0; 40 0; 50 0; 60 0; 70 0; ...\r\n 94.4539467929851 11.28940594715244];\r\ntolerance = 1e-13;\r\nY = slicing_circle(A,n);\r\nassert(all(Y(1:n) == y_correct(1:n)) \u0026 all(Y(1:n,2) == y_correct(1:n,2)) \u0026 ...\r\n all(abs(Y(end,:)-y_correct(end,:)) \u003c tolerance))\r\n\r\n%%\r\nA = 70;\r\nn = 10;\r\ny_correct = [7 1; 14 1; 21 1; 28 0; 35 0; 42 0; 49 0; 56 0; 63 0; 70 0; ...\r\n 88.7511366850995 10.6077897676978];\r\ntolerance = 1e-13;\r\nY = slicing_circle(A,n);\r\nassert(all(Y(1:n) == y_correct(1:n)) \u0026 all(Y(1:n,2) == y_correct(1:n,2)) \u0026 ...\r\n all(abs(Y(end,:)-y_correct(end,:)) \u003c tolerance))","published":true,"deleted":false,"likes_count":0,"comments_count":10,"created_by":4993982,"edited_by":4993982,"edited_at":"2025-11-27T14:44:37.000Z","deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":"2025-11-27T14:44:37.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-11-20T14:17:04.000Z","updated_at":"2025-12-17T10:09:27.000Z","published_at":"2025-11-21T15:27:17.000Z","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 area, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, of a square, consider a circle having the area, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eπA,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and the radius, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003er\u003c/w:t\u003e\u003c/w:r\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\u003eFor a given slicing number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u0026gt;1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, find the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(n+1)\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e matrix, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eM = [A1/π a1; A2/π a2; ...; An/π an; A_r L]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, where\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ein the first row \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(i=1)\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the area of one slice (like a pizza slice), and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the logical \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is smaller than or reaches the square's area \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e or \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the logical \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e0\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e surpasses \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\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=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ein the second row \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(i=2)\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the area of two slices and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e has the same previous false-true meaning relative to the areas \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\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=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eand so on, until last slice of the circle;\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ein the last row \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(i=n+1),\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA_r\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the area of the rectangle, with dimensions \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eL\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003er\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, which contains the maximum possible number of slices, such that have the true meaning of their sum has the area smaller or equal than the square's area, in their adjacent arrangement.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHint: Compare with \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/61081-slicing-the-area-of-a-regular-polygon\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProblem 61081\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:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003einput:\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(A,n)\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:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eoutput: \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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eM = [A1/π a1; A2/π a2; ...; An/π an; A_r L]\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":{"errors":[],"problems":[{"id":45537,"title":"Get the area of ​​the square.","description":"Four circles are inscribed in the square ABCD. The perimeter of each circle is *aπ*.\r\n\r\n\u003c\u003chttp://imgfz.com/i/UzgCJut.png\u003e\u003e\r\n\r\nGiven *a*, obtain the area of ​​the square.\r\n","description_html":"\u003cp\u003eFour circles are inscribed in the square ABCD. The perimeter of each circle is \u003cb\u003eaπ\u003c/b\u003e.\u003c/p\u003e\u003cimg src = \"http://imgfz.com/i/UzgCJut.png\"\u003e\u003cp\u003eGiven \u003cb\u003ea\u003c/b\u003e, obtain the area of ​​the square.\u003c/p\u003e","function_template":"function y = squartArea(a)\r\n y = a;\r\nend","test_suite":"%%\r\na = 0;\r\ny = 0;\r\nassert(isequal(squartArea(a),y))\r\n%%\r\na = 8;\r\ny = 256;\r\nassert(isequal(squartArea(a),y))\r\n%%\r\na = 1;\r\ny = 4;\r\nassert(isequal(squartArea(a),y))\r\n%%\r\na = 10;\r\ny = 400;\r\nassert(isequal(squartArea(a),y))\r\n%%\r\na = 50;\r\ny = 10000;\r\nassert(isequal(squartArea(a),y))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":446926,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":95,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-05-18T03:09:51.000Z","updated_at":"2026-02-05T12:03:10.000Z","published_at":"2020-05-18T03:09:51.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/media/image1.JPEG\"}],\"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\u003eFour circles are inscribed in the square ABCD. The perimeter of each circle is\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\u003eaπ\u003c/w:t\u003e\u003c/w:r\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\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven\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\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, obtain the area of the square.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"},{\"partUri\":\"/media/image1.JPEG\",\"contentType\":\"image/JPEG\",\"content\":\"data:image/JPEG;base64,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\"}]}"},{"id":47828,"title":"Circle : Square","description":null,"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: 20.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 10.4px; transform-origin: 407px 10.4px; 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: 384px 10.4px; text-align: left; transform-origin: 384px 10.4px; 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=\"\"\u003eDetermine the ratio of the area of a circle to the area of a square, Given the side of the square = radius of the circle.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = area_ratio(x)\r\n y =\r\nend","test_suite":"%%\r\nx = 6.76;\r\ny_correct = pi;\r\nassert(isequal(area_ratio(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":564784,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":113,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-12-05T15:46:44.000Z","updated_at":"2026-02-14T16:21:13.000Z","published_at":"2020-12-05T15:46:44.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDetermine the ratio of the area of a circle to the area of a square, Given the side of the square = radius of the circle.\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":47450,"title":"Area of Ellipse","description":null,"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: 95.6667px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.5px 47.8333px; transform-origin: 406.5px 47.8333px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 20.6667px; 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: 383.5px 10.3333px; text-align: left; transform-origin: 383.5px 10.3333px; 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=\"\"\u003eCaculate the area of below ellipse.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 36.3333px; 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: 383.5px 18.1667px; text-align: left; transform-origin: 383.5px 18.1667px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-16px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"71.5\" height=\"36.5\" style=\"width: 71.5px; height: 36.5px;\"\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=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.6667px; 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: 383.5px 10.3333px; text-align: left; transform-origin: 383.5px 10.3333px; 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=\"\"\u003eSo, input x = [a b], numeric vector when a, b are not zero.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = your_fcn_name(x)\r\n y = x;\r\nend","test_suite":"%%\r\nx = [7 8];\r\ny_correct = 56*pi;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx = [999 888];\r\ny_correct = 999*888*pi;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx = [101 888];\r\ny_correct = 101*888*pi;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":71768,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":66,"test_suite_updated_at":"2020-11-11T08:48:39.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-11-11T08:46:14.000Z","updated_at":"2026-03-11T14:18:53.000Z","published_at":"2020-11-11T08:46:14.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCaculate the area of below ellipse.\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=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e$$\\\\frac{x^{2}}{a^2}+\\\\frac{y^{2}}{b^2}=1$$\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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\u003eSo, input x = [a b], numeric vector when a, b are not zero.\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":44505,"title":"Calculating Ring Area","description":"In two-dimensional space, a ring can be constructed by using two concentric circles. Determine the area of a ring which has r1 as the inner radius and r2 as the outer radius.","description_html":"\u003cp\u003eIn two-dimensional space, a ring can be constructed by using two concentric circles. Determine the area of a ring which has r1 as the inner radius and r2 as the outer radius.\u003c/p\u003e","function_template":"function area = RingArea(r1,r2)\r\n area = r1+r2;\r\nend","test_suite":"%%\r\nr1 = 4;\r\nr2 = 5;\r\ny_correct = 28.27433;\r\nassert(abs(RingArea(r1,r2)-y_correct)\u003c1e-5)\r\n%%\r\nr1 = 7.5;\r\nr2 = 8.25;\r\ny_correct = 37.11006;\r\nassert(abs(RingArea(r1,r2)-y_correct)\u003c1e-5)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":180632,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":107,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2018-01-24T18:16:13.000Z","updated_at":"2026-02-06T12:07:01.000Z","published_at":"2018-01-24T18:16:13.000Z","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 two-dimensional space, a ring can be constructed by using two concentric circles. Determine the area of a ring which has r1 as the inner radius and r2 as the outer radius.\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":44629,"title":"Find parts of a circle.","description":"Given radius (r) of a circle find the diameter (d), circumference (c), an area (a).","description_html":"\u003cp\u003eGiven radius (r) of a circle find the diameter (d), circumference (c), an area (a).\u003c/p\u003e","function_template":"function [d,c,a] = CIRCLE(r)\r\n d =;\r\n c =;\r\n a =;\r\nend\r\n","test_suite":"%%\r\nr = 7;\r\nd_correct = 14;\r\nc_correct = 43.9823;\r\na_correct = 153.9380;\r\nassert(isequal(CIRCLE(r),d_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":212188,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":79,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2018-05-02T13:14:59.000Z","updated_at":"2026-02-06T15:52:08.000Z","published_at":"2018-05-02T13:14:59.000Z","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 radius (r) of a circle find the diameter (d), circumference (c), an area (a).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":45195,"title":"Calculate the area of a circle","description":"Given a circle of diameter x calculate its area","description_html":"\u003cp\u003eGiven a circle of diameter x calculate its area\u003c/p\u003e","function_template":"function y = areaOfCircle(x)\r\n y = x;\r\nend","test_suite":"%%\r\nx = 1;\r\ny_correct = pi * 0.25;\r\nassert(isequal(areaOfCircle(x),y_correct))\r\n%%\r\nx = 15;\r\ny_correct = pi * 56.25;\r\nassert(isequal(areaOfCircle(x),y_correct))\r\n%%\r\nx = 20;\r\ny_correct = pi * 100;\r\nassert(isequal(areaOfCircle(x),y_correct))\r\n%%\r\nx = 100;\r\ny_correct = pi * 2500;\r\nassert(isequal(areaOfCircle(x),y_correct))","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":348097,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":144,"test_suite_updated_at":"2019-11-05T16:44:06.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2019-11-05T16:37:48.000Z","updated_at":"2026-02-12T19:03:56.000Z","published_at":"2019-11-05T16:44:06.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a circle of diameter x calculate its 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":1693,"title":"Calculate distance travelled when given radius and rotations","description":"When given radius of wheel and number of rotations calculate total distance travelled\r\nconsider pi=3.14","description_html":"\u003cp\u003eWhen given radius of wheel and number of rotations calculate total distance travelled\r\nconsider pi=3.14\u003c/p\u003e","function_template":"function y = calci_dist(r,n)\r\n y = 1;\r\nend","test_suite":"%%\r\nr = 1;\r\nn = 1;\r\ny_correct = 6.28;\r\nassert(isequal(calci_dist(r,n),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":14448,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":242,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2013-07-02T09:00:14.000Z","updated_at":"2026-03-09T20:57:39.000Z","published_at":"2013-07-02T09:02:09.000Z","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\u003eWhen given radius of wheel and number of rotations calculate total distance travelled consider pi=3.14\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":45333,"title":"Area-01","description":"Given the radius of the circle inscribed in a square, find the area that is not bounded by the circle but inside the square.\r\n\r\n","description_html":"\u003cp\u003eGiven the radius of the circle inscribed in a square, find the area that is not bounded by the circle but inside the square.\u003c/p\u003e","function_template":"function y = inscribed_circle(r)\r\n y = x;\r\nend","test_suite":"%%\r\nr = 1;\r\ny_correct = 0.8584;\r\nassert(abs(inscribed_circle(r)-y_correct)\u003c0.01)\r\n%%\r\nr = 5;\r\ny_correct = 21.4602;\r\nassert(abs(inscribed_circle(r)-y_correct)\u003c0.01)\r\n%%\r\nr = 0;\r\ny_correct = 0;\r\nassert(isequal(inscribed_circle(r),y_correct))\r\n%%\r\nr = 12.1;\r\ny_correct = 125.6794;\r\nassert(abs(inscribed_circle(r)-y_correct)\u003c0.01)\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":67,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-02-16T18:24:27.000Z","updated_at":"2026-02-09T14:23:49.000Z","published_at":"2020-02-16T18:24:41.000Z","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\",\"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 radius of the circle inscribed in a square, find the area that is not bounded by the circle but inside the square.\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":2154,"title":"Distances in a circle","description":"A circle (360°) is given and \r\na row of 6 monotonic increasing numbers with the which difference from last to first value is less than 360. \r\nFind the 6 distances between the numbers including the distance from last to first number.\r\n\r\nExample1:\r\n\r\n* Input: [30 90 120 150 210 270]\r\n* Result: [60 30 30 60 60 120]\r\n\r\nExample2:\r\n\r\n* Input: [140 220 260 320 380 440]\r\n* Result: [80 40 60 60 60 60]\r\n","description_html":"\u003cp\u003eA circle (360°) is given and \r\na row of 6 monotonic increasing numbers with the which difference from last to first value is less than 360. \r\nFind the 6 distances between the numbers including the distance from last to first number.\u003c/p\u003e\u003cp\u003eExample1:\u003c/p\u003e\u003cul\u003e\u003cli\u003eInput: [30 90 120 150 210 270]\u003c/li\u003e\u003cli\u003eResult: [60 30 30 60 60 120]\u003c/li\u003e\u003c/ul\u003e\u003cp\u003eExample2:\u003c/p\u003e\u003cul\u003e\u003cli\u003eInput: [140 220 260 320 380 440]\u003c/li\u003e\u003cli\u003eResult: [80 40 60 60 60 60]\u003c/li\u003e\u003c/ul\u003e","function_template":"function y = distance_circle(x)\r\n y = x;\r\nend","test_suite":"%%\r\nx = [30 90 120 150 210 270];\r\ny_correct = [60 30 30 60 60 120];\r\nassert(isequal(distance_circle(x),y_correct))\r\n%%\r\nx = [140 220 260 320 380 440];\r\ny_correct = [80 40 60 60 60 60];\r\nassert(isequal(distance_circle(x),y_correct))\r\n%%\r\nx = [0 90 120 180 240 300];\r\ny_correct = [90 30 60 60 60 60];\r\nassert(isequal(distance_circle(x),y_correct))\r\n%%\r\nx = [330 395 425 450 510 575];\r\ny_correct = [65 30 25 60 65 115];\r\nassert(isequal(distance_circle(x),y_correct))","published":true,"deleted":false,"likes_count":0,"comments_count":5,"created_by":22350,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":75,"test_suite_updated_at":"2014-02-06T08:09:17.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2014-02-05T21:22:28.000Z","updated_at":"2026-02-20T13:51:41.000Z","published_at":"2014-02-05T22:05:56.000Z","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 circle (360°) is given and a row of 6 monotonic increasing numbers with the which difference from last to first value is less than 360. Find the 6 distances between the numbers including the distance from last to first number.\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\u003eExample1:\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\u003eInput: [30 90 120 150 210 270]\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\u003eResult: [60 30 30 60 60 120]\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\u003eExample2:\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\u003eInput: [140 220 260 320 380 440]\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\u003eResult: [80 40 60 60 60 60]\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":44271,"title":"0\u003c=x\u003c=pi?","description":"Check whether the given angle is between zero and pi.\r\nReturn logical true or false.","description_html":"\u003cp\u003eCheck whether the given angle is between zero and pi.\r\nReturn logical true or false.\u003c/p\u003e","function_template":"function y = ang(x)\r\n y = (x==pi/2);\r\nend","test_suite":"%%\r\nx = rand*pi;\r\ny_correct = (200\u003e=100);\r\nassert(isequal(ang(x),y_correct))\r\n%%\r\nx = -rand*pi;\r\ny_correct = (100\u003e=200);\r\nassert(isequal(ang(x),y_correct))\r\n\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":166,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":140,"test_suite_updated_at":"2017-08-01T23:22:04.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2017-08-01T23:13:05.000Z","updated_at":"2026-02-16T12:15:51.000Z","published_at":"2017-08-01T23:13:38.000Z","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\u003eCheck whether the given angle is between zero and pi. Return logical true or false.\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":45178,"title":"An n-sided regular polygon is drawn within a circle whose radius is 'r', what will be the area of the polygon?","description":"area of a polygon is p*a/2. where, p is the perimeter and a is the apothem i.e. the normal distance from center to any of the sides of the polygon.","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: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; 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: 384px 21px; text-align: left; transform-origin: 384px 21px; 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: 376.5px 8px; transform-origin: 376.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003earea of a polygon is p*a/2. where, p is the perimeter and a is the apothem i.e. the normal distance from center to any of the sides of the polygon.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y=poly(n,r)\r\ny=n\r\nend","test_suite":"\r\n%%\r\nn = 6;\r\nr = 6;\r\ny_correct = 93.5307;\r\nassert(abs(poly(n,r) - y_correct) \u003c 1e-4);\r\n\r\n%%\r\nn = 8;\r\nr = 6;\r\ny_correct = 101.8234;\r\nassert(abs(poly(n,r) - y_correct) \u003c 1e-4);\r\n\r\n%%\r\nn = 11;\r\nr = 7;\r\ny_correct = 145.7027;\r\nassert(abs(poly(n,r) - y_correct) \u003c 1e-4);\r\n\r\n%%\r\nn = 13;\r\nr = 13;\r\ny_correct = 510.4984;\r\nassert(abs(poly(n,r) - y_correct) \u003c 1e-4);\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":4,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":39,"test_suite_updated_at":"2021-12-25T10:22:49.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2019-10-18T23:23:26.000Z","updated_at":"2026-02-18T09:44:32.000Z","published_at":"2019-10-18T23:55:49.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003earea of a polygon is p*a/2. where, p is the perimeter and a is the apothem i.e. the normal distance from center to any of the sides of the polygon.\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":43190,"title":"Determine point is located in a circle or not","description":"Using input [x] and [y], determine the points (x,y) is located inside of circle (x^2+y^2=1)\r\nif point is located in circle, output is true.","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: 51px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 25.5px; transform-origin: 407px 25.5px; 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: 269px 8px; transform-origin: 269px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eUsing input [x] and [y], determine the points (x,y) is located inside of circle (x^2+y^2=1)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 126.5px 8px; transform-origin: 126.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eif point is located in circle, output is true.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function z = inorout(x,y)\r\n z=true\r\nend","test_suite":"%%\r\nx = 1;\r\ny = 2;\r\ny_correct = 0;\r\nassert(isequal(inorout(x,y),y_correct))\r\n\r\n%%\r\nx = 1;\r\ny = 0;\r\ny_correct = 0;\r\nassert(isequal(inorout(x,y),y_correct))\r\n\r\n%%\r\nx = 0.5;\r\ny = 0.5;\r\ny_correct = 1;\r\nassert(isequal(inorout(x,y),y_correct))\r\n\r\n%%\r\nx = -1;\r\ny = -1;\r\ny_correct = 0;\r\nassert(isequal(inorout(x,y),y_correct))\r\n\r\n%%\r\nx = 0;\r\ny = 0;\r\ny_correct = 1;\r\nassert(isequal(inorout(x,y),y_correct))\r\n\r\n%%\r\nx = 2;\r\ny = 3;\r\ny_correct = 0;\r\nassert(isequal(inorout(x,y),y_correct))","published":true,"deleted":false,"likes_count":4,"comments_count":0,"created_by":33533,"edited_by":223089,"edited_at":"2022-09-09T07:58:41.000Z","deleted_by":null,"deleted_at":null,"solvers_count":57,"test_suite_updated_at":"2022-09-09T07:58:41.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2016-10-08T06:42:36.000Z","updated_at":"2026-02-18T10:12:49.000Z","published_at":"2016-10-08T06:42:36.000Z","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\u003eUsing input [x] and [y], determine the points (x,y) is located inside of circle (x^2+y^2=1)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eif point is located in circle, output is true.\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":45538,"title":"Find the area of ​​the square","description":"There are *n²* circles inscribed in the square ABCD. The perimeter of each circle is *aπ*\r\n\r\n\u003c\u003chttp://imgfz.com/i/3wzCeAT.png\u003e\u003e\r\n\r\nGiven *n* and *a*, find the area of ​​the square.","description_html":"\u003cp\u003eThere are \u003cb\u003en²\u003c/b\u003e circles inscribed in the square ABCD. The perimeter of each circle is \u003cb\u003eaπ\u003c/b\u003e\u003c/p\u003e\u003cimg src = \"http://imgfz.com/i/3wzCeAT.png\"\u003e\u003cp\u003eGiven \u003cb\u003en\u003c/b\u003e and \u003cb\u003ea\u003c/b\u003e, find the area of ​​the square.\u003c/p\u003e","function_template":"function y = squartArea(n,a)\r\n y = n+a;\r\nend","test_suite":"%%\r\na = 8;\r\nn = 5;\r\ny = 1600;\r\nassert(isequal(squartArea(n,a),y))\r\n%%\r\na = 0;\r\nn = 10;\r\ny = 0;\r\nassert(isequal(squartArea(n,a),y))\r\n%%\r\na = 100/pi;\r\nn = 6;\r\ny = 36476;\r\ntolerance = 1e-12; \r\nassert(abs(36476-y)\u003ctolerance)\r\n%%\r\na = 15;\r\nn = 0;\r\ny = 0;\r\nassert(isequal(squartArea(n,a),y))\r\n%%\r\na = 10;\r\nn = 2;\r\ny = 400;\r\nassert(isequal(squartArea(n,a),y))","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":446926,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":60,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-05-18T03:38:49.000Z","updated_at":"2026-03-05T11:06:44.000Z","published_at":"2020-05-18T03:38:49.000Z","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\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/media/image1.png\"}],\"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\u003eThere are\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\u003en²\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e circles inscribed in the square ABCD. The perimeter of each circle is\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\u003eaπ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven\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\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and\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\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, find the area of the square.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\"}]}"},{"id":59856,"title":"Calculate the Area of the Ring","description":"\r\nYou have Ring which consist of inner and outer Circles with Radius r and R which are not given but you'll be given Hprizontal distance d which is Tangent to inner circle .\r\nCalculate the Area of the Ring","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: 312.033px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.5px 156.017px; transform-origin: 406.5px 156.017px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 231.033px; 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: 383.5px 115.517px; text-align: left; transform-origin: 383.5px 115.517px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"225\" height=\"225\" style=\"vertical-align: baseline;width: 225px;height: 225px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\"\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: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.5px 21px; text-align: left; transform-origin: 383.5px 21px; 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: 192.067px 7.81667px; transform-origin: 192.067px 7.81667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYou have Ring which consist of inner and outer Circles with \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 126.742px 7.81667px; transform-origin: 126.742px 7.81667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eRadius r and R which are not given \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: 59.1833px 7.81667px; transform-origin: 59.1833px 7.81667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ebut you'll be given Hprizontal distance d which is Tangent to inner circle .\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: 383.5px 10.5px; text-align: left; transform-origin: 383.5px 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: 96.5917px 7.81667px; transform-origin: 96.5917px 7.81667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCalculate the Area of the Ring\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function area = your_fcn_name(d)\r\n area = d;\r\nend","test_suite":"%%\r\nd = 3;\r\narea_correct = 28.2743;\r\ntolerance = 1e-4;\r\nassert(abs(your_fcn_name(d)-area_correct)\u003ctolerance)\r\n%%\r\nd = 5;\r\narea_correct = 78.5398;\r\ntolerance = 1e-4;\r\nassert(abs(your_fcn_name(d)-area_correct)\u003ctolerance)\r\n%%\r\nd = 8;\r\narea_correct = 201.0619;\r\ntolerance = 1e-4;\r\nassert(abs(your_fcn_name(d)-area_correct)\u003ctolerance)\r\n%%\r\nd = 15;\r\narea_correct = 706.8583;\r\ntolerance = 1e-4;\r\nassert(abs(your_fcn_name(d)-area_correct)\u003ctolerance)\r\n%%\r\nd = 17;\r\narea_correct = 907.9203;\r\ntolerance = 1e-4;\r\nassert(abs(your_fcn_name(d)-area_correct)\u003ctolerance)","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":4033021,"edited_by":223089,"edited_at":"2024-06-12T15:22:45.000Z","deleted_by":null,"deleted_at":null,"solvers_count":21,"test_suite_updated_at":"2024-06-12T15:22:45.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2024-04-07T14:03:59.000Z","updated_at":"2026-03-05T11:47:22.000Z","published_at":"2024-04-07T14:20:37.000Z","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:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"225\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"225\\\"/\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\u003eYou have Ring which consist of inner and outer Circles with \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eRadius r and R which are not given \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ebut you'll be given Hprizontal distance d which is Tangent to inner circle .\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\u003eCalculate the Area of the Ring\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":51102,"title":"Round the chord length!!","description":null,"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: 20.4444px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.5px 10.2222px; transform-origin: 406.5px 10.2222px; 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: 383.5px 10.2222px; text-align: left; transform-origin: 383.5px 10.2222px; 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=\"\"\u003eIf a circle has a diameter of x and a circumference of y find the chord length which is Z and round it to 3 decimal places. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function Z = chord_length(x,y)\r\n \r\nend","test_suite":"%%\r\nx = 1;\r\ny = 1;\r\nZ_correct=0.479\r\nassert(isequal(chord_length(x,y),Z_correct))\r\n\r\n\r\n%%\r\nx = 1;\r\ny = 2;\r\nZ_correct=0.841\r\nassert(isequal(chord_length(x,y),Z_correct))\r\n\r\n%%\r\nx = 3;\r\ny = 4;\r\nZ_correct=2.728\r\nassert(isequal(chord_length(x,y),Z_correct))\r\n\r\n\r\n\r\n\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":13,"created_by":995198,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":25,"test_suite_updated_at":"2021-03-22T05:59:22.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-03-21T16:22:01.000Z","updated_at":"2026-03-05T13:56:21.000Z","published_at":"2021-03-21T16:22:01.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf a circle has a diameter of x and a circumference of y find the chord length which is Z and round it to 3 decimal places. \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":47995,"title":"Polygon in a unit circle","description":null,"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: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; 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: 384px 21px; text-align: left; transform-origin: 384px 21px; 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=\"\"\u003eApothem of a regular polygon is the line segment from the centre of the polygon to the midpoint of one of its sides. Determine the length of the apothem for a biggest regular polygon inscribed within a unit circle, given the number of sides.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = apothem(x)\r\n y = x*sqrt(x/2);\r\nend","test_suite":"%%\r\nx = 6;\r\ny_correct = 0.8660;\r\nassert(isequal(apothem(x),y_correct))\r\n%%\r\nx = 5;\r\ny_correct=0.8090;\r\nassert(isequal(apothem(x),y_correct))\r\n%%\r\nx = 17;\r\ny_correct=0.9830;\r\nassert(isequal(apothem(x),y_correct))\r\n%%\r\nx = 102;\r\ny_correct=0.9995;\r\nassert(isequal(apothem(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":180632,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":28,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-12-17T02:38:32.000Z","updated_at":"2025-02-13T20:08:34.000Z","published_at":"2020-12-17T02:38:32.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eApothem of a regular polygon is the line segment from the centre of the polygon to the midpoint of one of its sides. Determine the length of the apothem for a biggest regular polygon inscribed within a unit circle, given the number of sides.\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":2377,"title":"Area of a disk","description":"Find the area of a disk or circle. \r\n\r\nx= radius of the disk.","description_html":"\u003cp\u003eFind the area of a disk or circle.\u003c/p\u003e\u003cp\u003ex= radius of the disk.\u003c/p\u003e","function_template":"function y = crcl_area(x)\r\n y = x;\r\nend","test_suite":"%%\r\nx = 2;\r\ny_correct = 12.57;\r\nassert(isequal(crcl_area(x),y_correct))\r\n\r\n%%\r\nx = 12;\r\ny_correct = 452.39;\r\nassert(abs(y_correct-crcl_area(x)) \u003c= 0.01)","published":true,"deleted":false,"likes_count":2,"comments_count":6,"created_by":22553,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":375,"test_suite_updated_at":"2014-06-20T05:28:55.000Z","rescore_all_solutions":true,"group_id":1,"created_at":"2014-06-18T17:24:29.000Z","updated_at":"2026-02-18T16:00:08.000Z","published_at":"2014-06-18T17:25:07.000Z","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\u003eFind the area of a disk or circle.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ex= radius of the disk.\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":49948,"title":"Splitting Circle","description":"Consider a circle which has been divided into three concentric circles as depicted in the figure below\r\n\r\nThe ratio betwen the areas of the inner, intermediate, and outer regions is given in the input. The outermost radius is 1. Given the ratio of the regions, please determine the radii of the inner and intermediate regions.","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: 439.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 219.75px; transform-origin: 407px 219.75px; 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: 315px 8px; transform-origin: 315px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eConsider a circle which has been divided into three concentric circles as depicted in the figure below\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 358.5px; 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 179.25px; text-align: left; transform-origin: 384px 179.25px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 359px;height: 353px\" src=\"data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/4RE6RXhpZgAATU0AKgAAAAgABAE7AAIAAAAlAAAISodpAAQAAAABAAAIcJydAAEAAABKAAAQ6OocAAcAAAgMAAAAPgAAAAAc6gAAAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEtBU1RBTllBIERvZGR5IC0gKE5TJkwpIC0gS0lORUNUUklDUwAAAAWQAwACAAAAFAAAEL6QBAACAAAAFAAAENKSkQACAAAAAzkyAACSkgACAAAAAzkyAADqHAAHAAAIDAAACLIAAAAAHOoAAAAIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAyMDIxOjAxOjIyIDE3OjQ3OjA0ADIwMjE6MDE6MjIgMTc6NDc6MDQAAABLAEEAUwBUAEEATgBZAEEAIABEAG8AZABkAHkAIAAtACAAKABOAFMAJgBMACkAIAAtACAASwBJAE4ARQBDAFQAUgBJAEMAUwAAAP/hCztodHRwOi8vbnMuYWRvYmUuY29tL3hhcC8xLjAvADw/eHBhY2tldCBiZWdpbj0n77u/JyBpZD0nVzVNME1wQ2VoaUh6cmVTek5UY3prYzlkJz8+DQo8eDp4bXBtZXRhIHhtbG5zOng9ImFkb2JlOm5zOm1ldGEvIj48cmRmOlJERiB4bWxuczpyZGY9Imh0dHA6Ly93d3cudzMub3JnLzE5OTkvMDIvMjItcmRmLXN5bnRheC1ucyMiPjxyZGY6RGVzY3JpcHRpb24gcmRmOmFib3V0PSJ1dWlkOmZhZjViZGQ1LWJhM2QtMTFkYS1hZDMxLWQzM2Q3NTE4MmYxYiIgeG1sbnM6ZGM9Imh0dHA6Ly9wdXJsLm9yZy9kYy9lbGVtZW50cy8xLjEvIi8+PHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9InV1aWQ6ZmFmNWJkZDUtYmEzZC0xMWRhLWFkMzEtZDMzZDc1MTgyZjFiIiB4bWxuczp4bXA9Imh0dHA6Ly9ucy5hZG9iZS5jb20veGFwLzEuMC8iPjx4bXA6Q3JlYXRlRGF0ZT4yMDIxLTAxLTIyVDE3OjQ3OjA0LjkyNDwveG1wOkNyZWF0ZURhdGU+PC9yZGY6RGVzY3JpcHRpb24+PHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9InV1aWQ6ZmFmNWJkZDUtYmEzZC0xMWRhLWFkMzEtZDMzZDc1MTgyZjFiIiB4bWxuczpkYz0iaHR0cDovL3B1cmwub3JnL2RjL2VsZW1lbnRzLzEuMS8iPjxkYzpjcmVhdG9yPjxyZGY6U2VxIHhtbG5zOnJkZj0iaHR0cDovL3d3dy53My5vcmcvMTk5OS8wMi8yMi1yZGYtc3ludGF4LW5zIyI+PHJkZjpsaT5LQVNUQU5ZQSBEb2RkeSAtIChOUyZhbXA7TCkgLSBLSU5FQ1RSSUNTPC9yZGY6bGk+PC9yZGY6U2VxPg0KCQkJPC9kYzpjcmVhdG9yPjwvcmRmOkRlc2NyaXB0aW9uPjwvcmRmOlJERj48L3g6eG1wbWV0YT4NCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgPD94cGFja2V0IGVuZD0ndyc/Pv/bAEMABwUFBgUEBwYFBggHBwgKEQsKCQkKFQ8QDBEYFRoZGBUYFxseJyEbHSUdFxgiLiIlKCkrLCsaIC8zLyoyJyorKv/bAEMBBwgICgkKFAsLFCocGBwqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKv/AABEIAWEBZwMBIgACEQEDEQH/xAAfAAABBQEBAQEBAQAAAAAAAAAAAQIDBAUGBwgJCgv/xAC1EAACAQMDAgQDBQUEBAAAAX0BAgMABBEFEiExQQYTUWEHInEUMoGRoQgjQrHBFVLR8CQzYnKCCQoWFxgZGiUmJygpKjQ1Njc4OTpDREVGR0hJSlNUVVZXWFlaY2RlZmdoaWpzdHV2d3h5eoOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4eLj5OXm5+jp6vHy8/T19vf4+fr/xAAfAQADAQEBAQEBAQEBAAAAAAAAAQIDBAUGBwgJCgv/xAC1EQACAQIEBAMEBwUEBAABAncAAQIDEQQFITEGEkFRB2FxEyIygQgUQpGhscEJIzNS8BVictEKFiQ04SXxFxgZGiYnKCkqNTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqCg4SFhoeIiYqSk5SVlpeYmZqio6Slpqeoqaqys7S1tre4ubrCw8TFxsfIycrS09TV1tfY2dri4+Tl5ufo6ery8/T19vf4+fr/2gAMAwEAAhEDEQA/APpGiiigAooooAKKKKACiiigAooooAKKKKACiiigAoqtf6lZaVaNdaneQWdupwZbiQIoPpk8V5l4g/aC8LaYrJosVzrM20FSimGLOeQWcbgcc8KR059E5JbnRRw1av8Aw4t/13PVqCcDJ4FfL+tftAeL9RZhpn2TSYt5K+TCJH29gWfIP1AH4V59qevavrTI2sapeX5TOz7TO0m3PXGTx0H5VDqLoevSyOtLWpJL8f8AI+u9V+I3g/RVP2/xFYhg+wpDJ5zqeeqpkjoeormtS+PvgixdVtp73UQwOWtbYgL9fMK/pmvlmio9oz0IZJh18TbPojUP2k9IiZP7K0G9uQc7zcypDj0xt35/T8aon9pkZ48JnH/YR/8AtVeC0UueR0rKcGl8H4v/ADPd/wDhph93/Iqrtz0/tD/7XTv+GmRn/kUzj/sI/wD2qvBqKOeQ/wCysH/J+L/zPofT/wBpPSZGb+1NAvbYcbTbzJNn1znZjt61vad8fvBF67C5mvtOAAw1zakhvp5Zf/Jr5aop88jOWT4SWya+f+dz7J034leDNWiaS08SaeoVtpFxL5DZ9lk2kj3AxXTqwZQykEEZBHevg+tDTNf1fRWc6Pql7YGQAP8AZrho92OmdpGeppqo+pxVMij/AMu5/f8A0j7hor5d0T4/eMdNfGpPa6tESuRPCI2UDqFZMckdyG6D3z6X4f8A2g/C+pqqa1Dc6NNgli6+dF14AZRuJx6qB71ammeXWyrFUteW/p/Vz1eiq1hqNlqtmt1pl3BeW78LLBIHU+vI4qzVnmNNOzCiiigQUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRUV1dW9jayXN5NHbwRKWkllYKqAdyT0FeI+OP2g4og9l4GjEzkENqFxGQo46xoeSQT1YY4+6c5qXJLc6sPhK2Jlamvn0PXPEPirRPCtmLnX9Rhs0b7iucvJyAdqDLNjIzgcd68S8VftFX1w72/hCwW0hwQLq8UPKeByqA7Vwc9d2eOleOalqd7rGoS32qXUt1dTNukllbLMf88Y7VVrJzbPqMNlFClrU95/h93+Zf1nXNU8Qag17rV9Pe3DZ+eZ87RknCjooyTwMAVQooqD2EklZBRRRQMKKKKACiiigAooooAKKKKACiiigAooooAv6Prmp+H79b3Rb6eyuF43wuV3DIOCOjDIHByDXrvhX9oq+t3S38X2C3kOADdWahJRweWQna2Tjptxz1rxOimm1sc1fC0cQrVI3/AD+8+2vD3irRPFVmbnQNRhvEX76ocPHyQNyHDLnBxkc9q16+FrDULzS71LvTLuezuY87JoJCjrkYOCOehIr3PwP+0IsjR2PjiFY+MDUrdDjOB9+MevPK+w2961VRdT5vFZNUp+9R95duv/BPdqKhtLu3v7SO6sp47i3lXdHLE4ZXHqCODU1aHhNNOzCiiigQUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXMeOPH2keBNJN1qT+bdSA/ZrNGHmTN/RfVj09zgHmfil8XbbwZG2l6L5V3rjgbg3zR2qnu+OrHsv4njAb5m1PVL3WtSn1DVbmS6u523SSyHJY/wBB2AHAHFZynbRHu4DKpVrVK2ke3V/8A6Hxx8Rtc8dXhOpTeTYpIXgsYuEi4wMnqzY7n1OMA4rk6KKxPrIQjTiowVkgooooKCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigDqvBPxE13wLebtLn8yzd901lNzHJ2z/st7j0Gcjivp3wP8Q9F8d6csmnTCG9RN1xYyN+8i6Akf3lyR8w9RnB4r44q1pmp3ujalBqGl3MlrdwNujljOCp/qOxB4I4NVGTR5uNy6lilfaXf/ADPueivMPhV8XLfxhbx6Trjpb67GvB4VLwD+JfR/VfxHGQvp9bpprQ+Nr0KlCbhUWoUUUUzAKKKKACiiigAooooAKKKKACiiigAooooAK8j+LfxeXw0smheGplfV2GJ7gYZbUenoX/l9asfF/wCKieFLSTQ9DkDa1OnzyKf+PRCPvf75HQds5PbPzI8jyyNJKzO7EszMckk9STWM5dEfR5XlqnavWWnRfqLNNLcTyTXEjyyyMXeR2JZmJySSepNMoorM+oCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigB0cjwypLC7RyIwZXU4KkdCD2NfRPwg+L41gQeHPFVxjURhLS8kP8Ax8+iOf8Anp6H+L/e+986UAkHI4IpptM5cVhaeKp8k/k+x940V5L8GfiiPEljH4f1+5J1i3Q+TNK3N2g9+7gde5Azz81etV0Jpq58NiMPPD1HTmFFFFM5wooooAKKKKACiiigAooooAK4f4ofES38BaCPJxLq14rLZwkZC46yN/sjI47nj1I6fxBrtl4a0G71fU5Nlvaxl2xjLnsq56knAHua+N/FXia/8XeI7nV9TcmSZj5cecrDHn5UX2A/Pknkms5ytoj2MrwP1ifPP4V+L7f5mXcXE15dS3N3K808zl5JZGLM7E5JJPUk1HRRWJ9mFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUASW9xNZ3UVzaSvDPC4eOWNirIwOQQR0INfWfwq+IUPjrw4FuX26xZKqXiEAb+wlXHGGwcgdDkdME/JFbHhXxNf+EfEdrq+mORJC3zx5wsyfxI3sR+XBHIFVGVmcGPwccVSt9pbH2zRWX4b8QWPinw9aaxpblre5TIDDDIwOGUj1BBHpxxkVqV0HwsouEnGW6CiiigkKKKKACiiigAoorhfi542bwX4LkeykVdTviYLT1Tj5pMZ/hHQ/3iuRik3ZXNaNKVaoqcd2eN/HHx2/iPxO2h2Mn/ABLdKkZG2scTTdGYjgfKcqOv8RBw1eWUE5OTyaK5m7u5+gUKMaFNU4bIKKKKDYKKKKACiiigAooooAKKKKACgAkgAZJ6AVdtNKuLok48tAcFmH9K3LTS7e0IZV3uP427VhOtGHqddHC1KuuyMC2064umXZGVQn756CtGDw/8ym4l4xyqj9M1tAYGB0pa5ZYib20PSp4GlH4tTPj0azRQChYggkk9cVP/AGfaBSPs8eCc9Ks0Vk6k31OlUaa2iit/Z1n/AM+8f5UHT7QqF+zx4Bz0qzRS55dx+yp/yoz5NGs3UgIVJJIIPTNVJvD+FzBNk4PDjrW3RVqtNdTKWFoy3icpc6Zc2xO5Cy7sBlGc1UIIJBGCOoNdtVK70u3uyWZdjn+Ne9bwxPSRxVcB1ps5air13pNxaoz8PGv8S/4VRrrjJSV0ebOEoO0lYKKKKogKKKKACiiigAooooAKKKKAPU/gd47fw54oXQ76T/iW6tIqDcxxDP0VgOR8xwp6fwknC19PV8HA46V9bfCLxs3jTwWj3sofU7FvIu/V+Plkxn+Id+7BsVrTl0Pmc6wlv9oj8/0f6Hd0UUVqfNBRRRQAUUUUAFfI/wAXPGP/AAl/ju4ktpN+n2Oba0wcqwB+Zx2+ZsnPpt9K9/8Ai94rbwp8PbuW2YreXx+x25BwULg7n4IIwoYgjOG218j1jUfQ+nyTD6OvL0X6hRRRWZ9IFFFFABRRRQAUUUUAFFFSQQSXMyxRLlm/SlsNJt2Q2ON5XCxqWY9gK6Gw0eO3AefEkmBweimrNjYR2MOF+Zz95/WrVcFWu5aR2Paw+DUPenqwooormPQCiiigAooooAKKXY2zdtbb644pKQgooopjCiiigBCMjB6Vl6hoyzZktQEkJyVzwf8ACtWiqjOUHdGVSlCrG0kcW6NFIUkUqynBB7U2up1LTxew/JhZV5U46+xrmJI3icpIpVh2Ir0qdRVEeFiKEqMrdBtFFFanMFFFFABRRRQAUUUUAFd18IvGX/CH+OoHupdmnX2La7yflUE/K55x8rY57KW9a4WigipTjVg4S2Z940VxHwi8Tt4o+HNjNczebe2ebS5Jzksn3SSepKFST3JNdvXSndXPzytSlSqOnLdBRRRTMgooqC9vINOsLi9vJPLt7aJpZXwTtRRknA5PA7UDSbdkfNv7QniE6l46h0iJ2MGlQAMpUY82TDMQRyRt8sc9CDx3Pk9W9V1GbWNYvNSu9vn3k7zybRgbmYsce2TVSuZu7ufoeHoqhRjTXRBRRRSNwooooAKKKKACiiigBVUswVeSTgV1GmWH2KA7iDI/LHHT2rO0XT1l/wBJmGQp+QdifWt6uHEVLvkR7GCoWXtJfIKKKK5D0woorQ0zR59SbcvyQhsNIf6etRKUYK8iZSjBXkUY4nmkCRIXYnAAGa2rPwvcTKr3LiFT1Xq3SujstNttPUi2jwTwWPJNWq8urjpPSnoeZVxknpDQyrfw7YQrh4zMSBkuavLZWqKFW3iAUYHyCp6K4pVZy3ZxSqTluxnlR+X5exdn93HH5Uz7Jbf8+8X/AHwKmoqOZom7Mq48O6fMmEjMJAOChrHvPC9xCrNauJlH8PRuldbRXRDFVYdbm8MRVh1POJInhkKSoUYHBBGKbXoF7p9vfx7LhM+jDhh+Ncfqejz6axZvnhLYWQf19K9Shio1dHoz0qOJjU0ejM+iiius6wrP1aw+1wboxmVOnPUelaFFVGTi7oipBVIuMjiSCCQRgjqKK2ddswrC5QH5jhgBx9axq9SE1ON0fOVabpTcWFFFFWZBRRRQAUUUUAFFFFAHrP7PniQ6X42n0WQZh1eLCn+7JGGZefQqXH1xX0xXw1pOozaPrVlqVrt86zuEnjDDILKwYZHpxX2/aXUN9ZQXdq4eG4jWWNweGVhkH8jWtN9D5PO6HLVjVXX81/wPyJqKKK1PACvPfjhrJ0j4W3qI8scuoSR2kbRnGMncwPPQojg+ucdM16FXgn7SmrAy6HpEc7hlWS6mhBIUg4WNj2J4kHtk+tTJ2R35dT9rioL5/dqeE0UUVzn3gUUUUAFFFFABRRRQAVNa27XVykS/xHk+gqGtjQLfdK9wT935QKzqS5Ytm1Gn7Soom5GixRqiDCqMAU6iivKPpNgooqxY2b314kEXVjyScYHc0m0ldg2krst6Po8mpS73ylup+ZvX2FdnFEkEKxQqERRgKO1MtbWKzt1hgXaij8/c1NXgYiu6svI8OvWdWXkFFFFc5zhRRRQAUUUUAFFFFABTJYkmiaOVQ6MMFT3p9FGwHFazo76dLvjy1ux+Vv7vsay69EuIEurd4ZQSjjBwcVwd9ZyWN48EvVTwQc5HY17eFxHtVyy3R7GFr+0XLLdFeiiiu07RsiLLGyOMqwwRXI3Vu1rcvE38J4PqK7CsPxBBzHONoH3T6n/GunDztK3c8/HU+anzdUYtFFFegeIFFFFABRRRQAUUUUAFfWXwU1xtb+FuniWQyTWDNZSEjGAnKD8I2QV8m171+zXqxKa5o8k3AMd1DFx7rI3r/wA8xVQdmeTm9LnwrfbX9D3eiiiug+KCvlr4+6kb74pzW5QKLC1htwQc7sgy5Pp/rMfhX1LXxr8Sbya++JviGW4kMjrfyxAnHCo2xR+CqB+FZ1Nj3ckhevKXZHMUUUVifXBRRRQAUUUUAFFFFABXWadCYLCJGGDjJ6f0rl7dS9zGoBJLDp1612I4FceKlokepl8dZSFoooriPXCus8MWPk2bXTj5puF9lFczaQG5vIoRj52A5r0FEEaKiDCqMAe1edjqnLFQXU8/G1LRUF1HUUUV5B5QUUUUAFFFFABRRRQAUUUUAFFFFABWF4nsfOs1ukHzw8N7rW7TZEEsTI2cMCDj3rSlUdOakjSnNwmpI84oqS4ha3uZIXGCjEHnNR19GndXPoE7q6Cq2oQ+fYypz0yMAH+dWaQ8iqTs7ilFSi4s4qipblPLupVG7hj94c1FXrrVHy7VnYKKKKYgooooAKKKKACvTPgFqRsfilDbhNwv7Wa3J3Y24HmZ9/8AV4/GvM66n4Z3sth8T/D80G3c19HCd392Q7G/RjTWjOfFQ56E490z7IooorpPzwK+Htf1A6t4l1PUXTy2vLuWcoDnbuctjPfrX3DXwjMczyf7x/nWVTofS5Cleo/T9RlFFFZH0wUUUUAFFFFABRRRQBc0pS2pw4BODk47cV1Vc1of/ISH+4a6WvPxL989vAL9035hRRRXMegavhuLzNYQlNwRSScZx6Gu0rlfCf8Ax+z/APXP+tdVXiY13q2PGxjvVCiiiuI4wooooAKKKKACiiigAooooAKKKKACiiigDifEUax61LsGNwDH6kVmVv8Aiz/j9g/65/1rAr6HDu9KLPew7vSiwooorc3OW1cAanLhCvTr396pVo65/wAhI/7grOr1afwI+arq1WXqFFFFaGIUUUUAFFFFABWn4bv10rxVpOoSBitpewzsFGSQrhuM9+KzKfD/AK+P/eH86BNKSsz7uooorqPzUK+EZuLiT/eP86+7q+JPFdlHpvjLWbGBdsVtfzxIuScKshA689BWVTofSZDJXqL0/UyaKKKyPpwooooAKKKKACiiigDR0P8A5CQ/3DXS1yuk7f7Ti3568Y9a6qvPxPxnt4B/un6hRRRXMegbvhRgL+YEgFo+BnrzXWVxHh+VYdah3Z+bKjHqa7evExytVueNjFarcKKKK4jjCiiigAooooAKKKKACiiigAooooAKKKKAOV8Wf8fsH/XP+tYFafiGRZNal2HO0BT7ECsyvocOrUoo97Dq1KKCiiitzc5rW2B1I4IOFAOO1Z1W9TZW1KYpyM8nOcmqletTVoI+arO9ST8woooqzEKKKKACiiigAp8AzcRj/aH86ZWt4UsYtT8ZaNY3C7orm/ghkAOMq0gB5HsaBSlyptn23RRRXUfmoV8dfFKwbTfilr8DtuL3bT5xjiQCQD8A+K+xa+Xv2gdOSy+JxuUZib+yincE9CMx4HtiMH8TWdTY93JJ2xDj3R5fRRRWJ9cFFFFABRRRQAUUUUAS28nlXMb7Q21gcN0rsAcqCO9cVXV6bc/abJGJXcBhgvauPEx0TPUy+dm4luiiiuI9cfDK0MySISGUggg4r0K3mW4t45kxh1B4OcV51XUeF7/fE1nI3zJ80eT27ivPxtPmhzLocGMp80eZdDoaKKK8c8kKKKKACiiigAooooAKKKKACiiigAqOeZbe3klfGEUnk4qSue8UX+yJLONuX+aTB7dhWtGm6k1E1pU3UmonNTStNM8jklmJJyc0yiivoj39gprNtRm9BmnVS1WfyNPcg4ZvlHODVRXM0iaklCDk+hzEj+ZKz4xuYnFNoor2D5gKKKKBBRRRQAUUUUAFdX8L7CXUvij4fhgKhkvEnO4nG2P943TvhTXKV6h+z9py3vxOFy7FTYWcs6gfxE4jwfwkJ/Cmtznxc+TDzl5M+oaKKK6T88CvD/2k9JeTTNE1dAuyGaS2kPclwGX8Pkb8xXuFcT8YNE/tz4XatGqI01pGLuIt/CYzuYj32bx+NTJXR3ZfV9lioS87ffofIlFFFc596FFFFABRRRQAUUUUAFbOg3LCRrckbSNwyTxWNUkErQTpKnVTms6keeLRtRqezqKR2VFQ2tyl3brLHnB7HsamrymmnZn0iakroKltrmS0uEmhYqynt39qiopNJqzBpNWZ6DZXaX1ok8XAYcjOdp9KsVwemanLptxuT5o2++mev/167a1uory3Wa3bcjfp7GvCxGHdKV1seJXoOk/ImooorlOYKKKKACiiigAooooAKKKhurqKzt2muG2ov6+woSbdkNJt2Qy+vY7C0aeXJA4AHc+lcJc3Ml3cPNMxZmPft7VY1PU5dSuN7/LGv3EzwB/jVKvcw2H9lG73Z7OGoeyV3uwooorsOsK5/X52a4SD+FBu+pNbk86W8LSyEBVHfvXITStPO8r9WOa6sNC8uY87HVEoci3Yyiiiu88UKKKKACiiigAooooAK9+/Zr0pls9c1aS3XbI8VtDOcZ+UFnUdwPmjJ7Hj0rwGvrn4O6D/AGD8L9LR0VZ71TeylWJ3GTlT7HZsGPUVcF7x5GcVeTCuP8zS/X9DuKKKK3PiwpHRZI2RwGVgQwPcUtFAHxD4j0abw74l1DSLkNvs52iyyFd6g/K2D2IwR7GsyvZP2ifDQsvEll4gt0by9Rj8q4OCQJYwACT0GUwAOPuE+teN1zNWdj9DwtZV6Mandfj1CiiikdAUUUUAFFFFABRRRQBpaRfm3mEMrHynPHGcGukria6HRr/z4vIlJMiDgk9RXHiKf20ergsR/wAu5fI1aKKK4j1gq1Y6jcafKHgfC5yyHo31qrRUyipKzJlFSVmdxp+tWuoKAGEUuf8AVsefw9etaNebAkEEcEdDWnZ6/e2iqu8Sov8AC/PbHWvMq4HrTZ51TBPeDO2orBt/FVsy/wCkxPGwA+7yD61f/tvTv+ftPyNcUqFWLs4nFKjUi7NF+iqv9p2Xked9pj2eu73x0qFtc05VJ+0qcDOADk1CpzeyZKpzeyNCisG48VWyL/o0TyMQfvcAHtWPea/e3asm8RI38Kcdsda6IYOrLdWN4YWrLdWOk1HW7XT/AJSfNl/uIenPc9q5K+1G41CUvO+VzlUHRfpVUkkknknqaK9Sjh4UtVuelRw8KWu7Ciiiuk6QoorN1bUTaRiOEjzW/wDHR61UYuTsjOpUjTi5SKGt3qzzCCPBWM5LA9TWVQSSSSck9TRXqQioRsj52rUdSbkwoooqzIKKKKACiiigAooooA0/DmizeIvE2n6Rb7g95cJEWVC2xSfmbA7AZJ9ga+24IIrW3jgto1ihiQJHGgwqKBgADsAK+dP2dvDTXvii88QTxZg0+IxQuSw/fPwcdjhNwIJ43rx6fR1bU1pc+Szqvz1lSX2fzf8AwLBRRRWh4IUUUUAcp8S/C58XeAdQ02BA12q+fa5UE+anIAyRgsMrntur45IwcHg19418r/G/wcPDPjdr20j22GrBp48dFkz+8Xr6kN6fPgdKyqLqfS5JibN0Jeq/X+vU82ooorI+mCiiigAooooAKKKKACnI7RuHjYqynII7U2igex02napHdoElISbpj+99K0K4kEggg4I6EVtabrARRDeMcDhX/wAa4auHtrE9bD4y/u1PvNyimo6yIGjYMp6EGnVyHp7hRRRQMKKKKACiiigAooooAKKKKACimu6xoXchVUZJPasa+1z70doPbzD/AEq4U5TehjVrQpK8mXNR1NLOPbGQ8x6D09zXNPI0sjPIxZmOST3ppJJJJyT1NFejTpqmtDw6+IlWd3sFFFFanMFFFFABRRRQAUUUUAFAGTgcmivSfgh4PHibxwt9dx7rDSNtxJno8uf3a9fUFu4+TB60bmVarGjTdSWyPfvhr4XPhHwDp+mzIq3bKZ7rCgHzX5IOCclRhc99orqqKK6UrKx+e1Kkqs3OW7CiiimZhRRRQAVyfxJ8Gp438GXGmqVS7jYT2kjZwsi54OOxBK+2c4OK6yik1dWNKVSVKanHdHwjNDLbXEkFxG0UsTFHRxhlYHBBHY5plezfHn4ftpuqnxXpcLNaXr/6aqIAsEvAD8dnPU4+93+YCvGa52rOx+gYevHEUlUj1CiiikbhRRRQAUUUUAFFFFABRRRQBYtb2ezYmF8A9VPINbllrMNwdk37p+2Twea5uisp0oz3OmjiKlLZ6djtEdZEDRsGU9CDTq4+C6mtmBhcrznHY1fg16dNomVZAOp6E9P/AK9cksNJbHo08fBr3lY6GismPX4So8yN1OQDjn6mpxrNkVZvMI29ivJrJ0prodMcRRltIv0Vn/23Zf32/wC+TR/bVltB3t16bTS9nPsP6xS/mRoUVkya/CFPlxuxyQM8fQ1Sm125fIjCxgjHqauNCb6GUsZRj1udC7rGhaRgqjqSazbrW4IflgHmt6jpWHPdTXLEzOW53Y7Coa6IYZLWRxVcfJ6QVizc39xdZEsnyk52jgVWoorqSSVkefKTk7yYUUUUyQooooAKKKKACiiigAooooAfDDLc3EcFvG0ssjBERBlmYnAAHc5r7C+G3g1fA/gy302Qq15ITPduvRpWxwPYABffGe9eR/AT4f8A9oX/APwlmqwhrW1cpYo6/flGMyc9l6D/AGvQrX0RWtOPU+WznF80vYQ2W/r2CiiitT50KKKKACiiigAooooAqarpVlrelXGm6pbrc2lymyWJ+hH9CDggjkEZr5A8e+Cb7wN4ll0+7VmtpCXs585EseeOcD5h0I9fYgn7KrlfiH4Hs/HXhiWymRFvoVZ7K4PBikx0J/unABHpz1AqJxuerluOeGqcsvhe/l5/5nxxRVzVdKvdE1SfTtVt3tru3fZJG45B/qD1BHBHNU6wPtk01dBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXT+AfBN7458TRadahktkIe7uO0Meef+BHoB3PsCRiaTpN9rurW+m6TbPc3dw+yOJOpPr6AAckngAEmvr3wD4GsPAfh1bC0AlupcPd3RX5pnx/6COcDtk9ySajHmZ5uYY1YWnp8T2/zN/TdOtdI0u20/T4hFbWsSxRIOygYH1PvVmiiug+HbcndhRRRQIKKKKACiiigAooooAKKKKAPPfiz8No/HGifadPiRdcs1/0dywXzlzkxsfz256HuATXyrc209ndS213C8E8LlJIpFKsjA4IIPQg192V5p8VPhNb+Nof7T0jyrXXIwAXbhLpR/C+OjAdG/A8YK5zjfVHvZZmXsbUavw9H2/4H5HyzRVrUtNvdH1Kew1S2ktbuBtskUgwVP8AhjkHoQc1VrE+tTTV0FFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABU9jY3WpX0NlYQPcXM7hI4oxlmJ7Cn6bpt5rGpQafplu9zd3D7Iooxyx/oO+egHNfUfwt+Flr4GsRe6gI7nW51xJKOVgU/wJ/U9/pTSbehxYzGU8LDmlv0RL8Lfhna+BdJFxdqk2t3Kf6RN1EQ/wCeaew7nufbAHf0UV0JJKx8PWrTrzdSb1YUUUUzEKKKKACiiigAooooAKKKKACiiigAooooA4n4jfDPTvH9ijM4s9UgGILwJnI/uOO6/qDyO4Py34m8M6p4S1yXStag8qePlWXlJV7Op7g//WOCCK+2qyPE/hfSvF2iyaZrduJYX5R14eJuzoexH/1jkEis5Qvqj2MBmc8PaE9Y/l/XY+JaK9F+IXwf1jwY8t7Yq2paNuJE8a5eFev71QOO/wAw445xkCvOqx2Pr6VaFaHPTd0FFFFBoFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABWz4Y8Kav4v1dNP0O0aeQn95IRiOFf7zt0UcH69Bk8V1nw9+D2seM2ivr7dpujbhmeRcSTrjP7pT1HQbjxzxuwRX0r4Z8L6V4R0WLTNEtxDCnLueXlbu7nuT/9YYAAq4xbPIx2aU8PeENZfgvX/IwPh18M9N8A6exUrearMP396yYIH9xB/Cv6k8nsB21FFbJJbHyFWrOtNzm7thRRRTMgooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAAjIweRXlHjj4EaN4geW+8Ouuj3xX/UpGPs8hAP8I+4Sccjjj7pJr1eik0nub0MRVw8uam7HxP4k8J614S1A2mu2Ets24iOUjMcuMco/RhyOnTPODWNX3TfWFnqdm9pqVrDd20mN8M8YdGwcjIPHWvIfFX7O+l30j3HhS+bTHIJ+yz5liJwMYb7yjrnO7rxjGKycGtj6bDZzTn7tZcr79P+AfOlFdL4n+H/AIl8IzSDWNMmECHi7hBkhYZwDvHAz6HB5HFc1WZ7kJxnHmi7oKKKKCgooooAKKKKACiiigAooooAKKKKACiiigAorpfC/wAPvEvi+ZBo2mStbsebuYeXCoyATvPBxnouT14r2Twj+zxp1ltufGF3/aM3/PpasyQjqOW4Zv4TxtwQRyKai3scWIx1DD/HLXst/wCvU8Q8NeEdb8XagLTQbCW5IYCSXGI4c5OXfovQ+5xgZPFfQPgf4EaN4faO98Rsms34B/csg+zRkgfwkZcjnluOfugjNen2VjaabZpaadaw2ltHnZDBGERcnJwo4HJJqetVBLc+axWbVq3u0/dX4/eFFFFaHjBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAARkYPIriPEHwg8F+IVYyaSlhOVCifTz5JUA5+6PkJPTJUnH0FdvRSaT3NadapSd6cmj571z9m/UIpS/hzWre4iJY+XeqY2QZ+UblDBjjqcL06c8cBqnws8baQV+1eHLyQMCQbVRcAY9fLLY696+w6Kh010PVpZ1iIaTtL+vI+D2VkOHUqfQjFJX3NqGk6dq0SxarYWt7Gp3KlzCsgB9cMD6mud1H4V+CNUZWuvDdmhXOPswaDOfXyyufxqfZs9GGe0n8cGvTX/ACPjuivqbUPgH4IvWQ29ve6ftzkW10Tu+vmBuntjrVE/s5+ESf8Aj/1oe3nxf/G6XIzoWc4Vrr9x8z0V9Kj9nHwpu51LWNvp5sX/AMbp3/DOfhHP/IQ1r/v/ABf/ABujkkP+2MJ3f3HzRRX1Np/wD8EWTMbiC91ANjAubogL16eWF/X0rd074VeB9LZmtfDdm5br9pDXA/ASFsdaPZszlneHXwpv+vU+P4opJ5VigjaSRyFVEXJY+gFdVpfws8bauX+y+HLyMIASbpRbg59PMK5/DNfXOn6Vp2kQtDpVha2MTtuZLaFY1Y9MkKBzVuqVPucVTPZf8u4fefPui/s230mH8Q65BbgMCYrKIyFl7je23afwIr0rw/8AB7wX4fUFNJTUJ9pUzajickE5+6RsBHqFBruKKtRSPLrZjia2kpWXloFFFFUcAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQB//Z\" data-image-state=\"image-loaded\" width=\"359\" height=\"353\"\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: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; 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: 377px 8px; transform-origin: 377px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe ratio betwen the areas of the inner, intermediate, and outer regions is given in the input. The outermost radius is 1. Given the ratio of the regions, please determine the radii of the inner and intermediate regions.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = circle_split(s)\r\n y = s;\r\nend","test_suite":"%%\r\ns=[1 1 1];\r\ny=circle_split(s);\r\ny_correct=[0.5774 0.8165];\r\nassert(all(abs(y_correct-y)\u003c1e-5))\r\n%%\r\ns=[1 2 3];\r\ny=circle_split(s);\r\ny_correct=[0.4082 0.7071];\r\nassert(all(abs(y_correct-y)\u003c1e-5))\r\n%%\r\ns=[3 2 1];\r\ny=circle_split(s);\r\ny_correct=[0.7071 0.9129];\r\nassert(all(abs(y_correct-y)\u003c1e-5))\r\n%%\r\ns=[5 5 1];\r\ny=circle_split(s);\r\ny_correct=[0.6742 0.9535];\r\nassert(all(abs(y_correct-y)\u003c1e-5))\r\n%%\r\ns=[4 4 0];\r\ny=circle_split(s);\r\ny_correct=[0.7071 1.0000];\r\nassert(all(abs(y_correct-y)\u003c1e-5))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":180632,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":37,"test_suite_updated_at":"2021-12-26T14:39:33.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-01-22T23:01:39.000Z","updated_at":"2025-12-27T03:30:53.000Z","published_at":"2021-01-22T23:03:21.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eConsider a circle which has been divided into three concentric circles as depicted in the figure below\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=\\\"353\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"359\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe ratio betwen the areas of the inner, intermediate, and outer regions is given in the input. The outermost radius is 1. Given the ratio of the regions, please determine the radii of the inner and intermediate regions.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.jpeg\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.jpeg\",\"contentType\":\"image/jpeg\",\"content\":\"data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/4RE6RXhpZgAATU0AKgAAAAgABAE7AAIAAAAlAAAISodpAAQAAAABAAAIcJydAAEAAABKAAAQ6OocAAcAAAgMAAAAPgAAAAAc6gAAAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEtBU1RBTllBIERvZGR5IC0gKE5TJkwpIC0gS0lORUNUUklDUwAAAAWQAwACAAAAFAAAEL6QBAACAAAAFAAAENKSkQACAAAAAzkyAACSkgACAAAAAzkyAADqHAAHAAAIDAAACLIAAAAAHOoAAAAIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAyMDIxOjAxOjIyIDE3OjQ3OjA0ADIwMjE6MDE6MjIgMTc6NDc6MDQAAABLAEEAUwBUAEEATgBZAEEAIABEAG8AZABkAHkAIAAtACAAKABOAFMAJgBMACkAIAAtACAASwBJAE4ARQBDAFQAUgBJAEMAUwAAAP/hCztodHRwOi8vbnMuYWRvYmUuY29tL3hhcC8xLjAvADw/eHBhY2tldCBiZWdpbj0n77u/JyBpZD0nVzVNME1wQ2VoaUh6cmVTek5UY3prYzlkJz8+DQo8eDp4bXBtZXRhIHhtbG5zOng9ImFkb2JlOm5zOm1ldGEvIj48cmRmOlJERiB4bWxuczpyZGY9Imh0dHA6Ly93d3cudzMub3JnLzE5OTkvMDIvMjItcmRmLXN5bnRheC1ucyMiPjxyZGY6RGVzY3JpcHRpb24gcmRmOmFib3V0PSJ1dWlkOmZhZjViZGQ1LWJhM2QtMTFkYS1hZDMxLWQzM2Q3NTE4MmYxYiIgeG1sbnM6ZGM9Imh0dHA6Ly9wdXJsLm9yZy9kYy9lbGVtZW50cy8xLjEvIi8+PHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9InV1aWQ6ZmFmNWJkZDUtYmEzZC0xMWRhLWFkMzEtZDMzZDc1MTgyZjFiIiB4bWxuczp4bXA9Imh0dHA6Ly9ucy5hZG9iZS5jb20veGFwLzEuMC8iPjx4bXA6Q3JlYXRlRGF0ZT4yMDIxLTAxLTIyVDE3OjQ3OjA0LjkyNDwveG1wOkNyZWF0ZURhdGU+PC9yZGY6RGVzY3JpcHRpb24+PHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9InV1aWQ6ZmFmNWJkZDUtYmEzZC0xMWRhLWFkMzEtZDMzZDc1MTgyZjFiIiB4bWxuczpkYz0iaHR0cDovL3B1cmwub3JnL2RjL2VsZW1lbnRzLzEuMS8iPjxkYzpjcmVhdG9yPjxyZGY6U2VxIHhtbG5zOnJkZj0iaHR0cDovL3d3dy53My5vcmcvMTk5OS8wMi8yMi1yZGYtc3ludGF4LW5zIyI+PHJkZjpsaT5LQVNUQU5ZQSBEb2RkeSAtIChOUyZhbXA7TCkgLSBLSU5FQ1RSSUNTPC9yZGY6bGk+PC9yZGY6U2VxPg0KCQkJPC9kYzpjcmVhdG9yPjwvcmRmOkRlc2NyaXB0aW9uPjwvcmRmOlJERj48L3g6eG1wbWV0YT4NCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgPD94cGFja2V0IGVuZD0ndyc/Pv/bAEMABwUFBgUEBwYFBggHBwgKEQsKCQkKFQ8QDBEYFRoZGBUYFxseJyEbHSUdFxgiLiIlKCkrLCsaIC8zLyoyJyorKv/bAEMBBwgICgkKFAsLFCocGBwqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKv/AABEIAWEBZwMBIgACEQEDEQH/xAAfAAABBQEBAQEBAQAAAAAAAAAAAQIDBAUGBwgJCgv/xAC1EAACAQMDAgQDBQUEBAAAAX0BAgMABBEFEiExQQYTUWEHInEUMoGRoQgjQrHBFVLR8CQzYnKCCQoWFxgZGiUmJygpKjQ1Njc4OTpDREVGR0hJSlNUVVZXWFlaY2RlZmdoaWpzdHV2d3h5eoOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4eLj5OXm5+jp6vHy8/T19vf4+fr/xAAfAQADAQEBAQEBAQEBAAAAAAAAAQIDBAUGBwgJCgv/xAC1EQACAQIEBAMEBwUEBAABAncAAQIDEQQFITEGEkFRB2FxEyIygQgUQpGhscEJIzNS8BVictEKFiQ04SXxFxgZGiYnKCkqNTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqCg4SFhoeIiYqSk5SVlpeYmZqio6Slpqeoqaqys7S1tre4ubrCw8TFxsfIycrS09TV1tfY2dri4+Tl5ufo6ery8/T19vf4+fr/2gAMAwEAAhEDEQA/APpGiiigAooooAKKKKACiiigAooooAKKKKACiiigAoqtf6lZaVaNdaneQWdupwZbiQIoPpk8V5l4g/aC8LaYrJosVzrM20FSimGLOeQWcbgcc8KR059E5JbnRRw1av8Aw4t/13PVqCcDJ4FfL+tftAeL9RZhpn2TSYt5K+TCJH29gWfIP1AH4V59qevavrTI2sapeX5TOz7TO0m3PXGTx0H5VDqLoevSyOtLWpJL8f8AI+u9V+I3g/RVP2/xFYhg+wpDJ5zqeeqpkjoeormtS+PvgixdVtp73UQwOWtbYgL9fMK/pmvlmio9oz0IZJh18TbPojUP2k9IiZP7K0G9uQc7zcypDj0xt35/T8aon9pkZ48JnH/YR/8AtVeC0UueR0rKcGl8H4v/ADPd/wDhph93/Iqrtz0/tD/7XTv+GmRn/kUzj/sI/wD2qvBqKOeQ/wCysH/J+L/zPofT/wBpPSZGb+1NAvbYcbTbzJNn1znZjt61vad8fvBF67C5mvtOAAw1zakhvp5Zf/Jr5aop88jOWT4SWya+f+dz7J034leDNWiaS08SaeoVtpFxL5DZ9lk2kj3AxXTqwZQykEEZBHevg+tDTNf1fRWc6Pql7YGQAP8AZrho92OmdpGeppqo+pxVMij/AMu5/f8A0j7hor5d0T4/eMdNfGpPa6tESuRPCI2UDqFZMckdyG6D3z6X4f8A2g/C+pqqa1Dc6NNgli6+dF14AZRuJx6qB71ammeXWyrFUteW/p/Vz1eiq1hqNlqtmt1pl3BeW78LLBIHU+vI4qzVnmNNOzCiiigQUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRUV1dW9jayXN5NHbwRKWkllYKqAdyT0FeI+OP2g4og9l4GjEzkENqFxGQo46xoeSQT1YY4+6c5qXJLc6sPhK2Jlamvn0PXPEPirRPCtmLnX9Rhs0b7iucvJyAdqDLNjIzgcd68S8VftFX1w72/hCwW0hwQLq8UPKeByqA7Vwc9d2eOleOalqd7rGoS32qXUt1dTNukllbLMf88Y7VVrJzbPqMNlFClrU95/h93+Zf1nXNU8Qag17rV9Pe3DZ+eZ87RknCjooyTwMAVQooqD2EklZBRRRQMKKKKACiiigAooooAKKKKACiiigAooooAv6Prmp+H79b3Rb6eyuF43wuV3DIOCOjDIHByDXrvhX9oq+t3S38X2C3kOADdWahJRweWQna2Tjptxz1rxOimm1sc1fC0cQrVI3/AD+8+2vD3irRPFVmbnQNRhvEX76ocPHyQNyHDLnBxkc9q16+FrDULzS71LvTLuezuY87JoJCjrkYOCOehIr3PwP+0IsjR2PjiFY+MDUrdDjOB9+MevPK+w2961VRdT5vFZNUp+9R95duv/BPdqKhtLu3v7SO6sp47i3lXdHLE4ZXHqCODU1aHhNNOzCiiigQUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXMeOPH2keBNJN1qT+bdSA/ZrNGHmTN/RfVj09zgHmfil8XbbwZG2l6L5V3rjgbg3zR2qnu+OrHsv4njAb5m1PVL3WtSn1DVbmS6u523SSyHJY/wBB2AHAHFZynbRHu4DKpVrVK2ke3V/8A6Hxx8Rtc8dXhOpTeTYpIXgsYuEi4wMnqzY7n1OMA4rk6KKxPrIQjTiowVkgooooKCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigDqvBPxE13wLebtLn8yzd901lNzHJ2z/st7j0Gcjivp3wP8Q9F8d6csmnTCG9RN1xYyN+8i6Akf3lyR8w9RnB4r44q1pmp3ujalBqGl3MlrdwNujljOCp/qOxB4I4NVGTR5uNy6lilfaXf/ADPueivMPhV8XLfxhbx6Trjpb67GvB4VLwD+JfR/VfxHGQvp9bpprQ+Nr0KlCbhUWoUUUUzAKKKKACiiigAooooAKKKKACiiigAooooAK8j+LfxeXw0smheGplfV2GJ7gYZbUenoX/l9asfF/wCKieFLSTQ9DkDa1OnzyKf+PRCPvf75HQds5PbPzI8jyyNJKzO7EszMckk9STWM5dEfR5XlqnavWWnRfqLNNLcTyTXEjyyyMXeR2JZmJySSepNMoorM+oCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigB0cjwypLC7RyIwZXU4KkdCD2NfRPwg+L41gQeHPFVxjURhLS8kP8Ax8+iOf8Anp6H+L/e+986UAkHI4IpptM5cVhaeKp8k/k+x940V5L8GfiiPEljH4f1+5J1i3Q+TNK3N2g9+7gde5Azz81etV0Jpq58NiMPPD1HTmFFFFM5wooooAKKKKACiiigAooooAK4f4ofES38BaCPJxLq14rLZwkZC46yN/sjI47nj1I6fxBrtl4a0G71fU5Nlvaxl2xjLnsq56knAHua+N/FXia/8XeI7nV9TcmSZj5cecrDHn5UX2A/Pknkms5ytoj2MrwP1ifPP4V+L7f5mXcXE15dS3N3K808zl5JZGLM7E5JJPUk1HRRWJ9mFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUASW9xNZ3UVzaSvDPC4eOWNirIwOQQR0INfWfwq+IUPjrw4FuX26xZKqXiEAb+wlXHGGwcgdDkdME/JFbHhXxNf+EfEdrq+mORJC3zx5wsyfxI3sR+XBHIFVGVmcGPwccVSt9pbH2zRWX4b8QWPinw9aaxpblre5TIDDDIwOGUj1BBHpxxkVqV0HwsouEnGW6CiiigkKKKKACiiigAoorhfi542bwX4LkeykVdTviYLT1Tj5pMZ/hHQ/3iuRik3ZXNaNKVaoqcd2eN/HHx2/iPxO2h2Mn/ABLdKkZG2scTTdGYjgfKcqOv8RBw1eWUE5OTyaK5m7u5+gUKMaFNU4bIKKKKDYKKKKACiiigAooooAKKKKACgAkgAZJ6AVdtNKuLok48tAcFmH9K3LTS7e0IZV3uP427VhOtGHqddHC1KuuyMC2064umXZGVQn756CtGDw/8ym4l4xyqj9M1tAYGB0pa5ZYib20PSp4GlH4tTPj0azRQChYggkk9cVP/AGfaBSPs8eCc9Ks0Vk6k31OlUaa2iit/Z1n/AM+8f5UHT7QqF+zx4Bz0qzRS55dx+yp/yoz5NGs3UgIVJJIIPTNVJvD+FzBNk4PDjrW3RVqtNdTKWFoy3icpc6Zc2xO5Cy7sBlGc1UIIJBGCOoNdtVK70u3uyWZdjn+Ne9bwxPSRxVcB1ps5air13pNxaoz8PGv8S/4VRrrjJSV0ebOEoO0lYKKKKogKKKKACiiigAooooAKKKKAPU/gd47fw54oXQ76T/iW6tIqDcxxDP0VgOR8xwp6fwknC19PV8HA46V9bfCLxs3jTwWj3sofU7FvIu/V+Plkxn+Id+7BsVrTl0Pmc6wlv9oj8/0f6Hd0UUVqfNBRRRQAUUUUAFfI/wAXPGP/AAl/ju4ktpN+n2Oba0wcqwB+Zx2+ZsnPpt9K9/8Ai94rbwp8PbuW2YreXx+x25BwULg7n4IIwoYgjOG218j1jUfQ+nyTD6OvL0X6hRRRWZ9IFFFFABRRRQAUUUUAFFFSQQSXMyxRLlm/SlsNJt2Q2ON5XCxqWY9gK6Gw0eO3AefEkmBweimrNjYR2MOF+Zz95/WrVcFWu5aR2Paw+DUPenqwooormPQCiiigAooooAKKXY2zdtbb644pKQgooopjCiiigBCMjB6Vl6hoyzZktQEkJyVzwf8ACtWiqjOUHdGVSlCrG0kcW6NFIUkUqynBB7U2up1LTxew/JhZV5U46+xrmJI3icpIpVh2Ir0qdRVEeFiKEqMrdBtFFFanMFFFFABRRRQAUUUUAFd18IvGX/CH+OoHupdmnX2La7yflUE/K55x8rY57KW9a4WigipTjVg4S2Z940VxHwi8Tt4o+HNjNczebe2ebS5Jzksn3SSepKFST3JNdvXSndXPzytSlSqOnLdBRRRTMgooqC9vINOsLi9vJPLt7aJpZXwTtRRknA5PA7UDSbdkfNv7QniE6l46h0iJ2MGlQAMpUY82TDMQRyRt8sc9CDx3Pk9W9V1GbWNYvNSu9vn3k7zybRgbmYsce2TVSuZu7ufoeHoqhRjTXRBRRRSNwooooAKKKKACiiigBVUswVeSTgV1GmWH2KA7iDI/LHHT2rO0XT1l/wBJmGQp+QdifWt6uHEVLvkR7GCoWXtJfIKKKK5D0woorQ0zR59SbcvyQhsNIf6etRKUYK8iZSjBXkUY4nmkCRIXYnAAGa2rPwvcTKr3LiFT1Xq3SujstNttPUi2jwTwWPJNWq8urjpPSnoeZVxknpDQyrfw7YQrh4zMSBkuavLZWqKFW3iAUYHyCp6K4pVZy3ZxSqTluxnlR+X5exdn93HH5Uz7Jbf8+8X/AHwKmoqOZom7Mq48O6fMmEjMJAOChrHvPC9xCrNauJlH8PRuldbRXRDFVYdbm8MRVh1POJInhkKSoUYHBBGKbXoF7p9vfx7LhM+jDhh+Ncfqejz6axZvnhLYWQf19K9Shio1dHoz0qOJjU0ejM+iiius6wrP1aw+1wboxmVOnPUelaFFVGTi7oipBVIuMjiSCCQRgjqKK2ddswrC5QH5jhgBx9axq9SE1ON0fOVabpTcWFFFFWZBRRRQAUUUUAFFFFAHrP7PniQ6X42n0WQZh1eLCn+7JGGZefQqXH1xX0xXw1pOozaPrVlqVrt86zuEnjDDILKwYZHpxX2/aXUN9ZQXdq4eG4jWWNweGVhkH8jWtN9D5PO6HLVjVXX81/wPyJqKKK1PACvPfjhrJ0j4W3qI8scuoSR2kbRnGMncwPPQojg+ucdM16FXgn7SmrAy6HpEc7hlWS6mhBIUg4WNj2J4kHtk+tTJ2R35dT9rioL5/dqeE0UUVzn3gUUUUAFFFFABRRRQAVNa27XVykS/xHk+gqGtjQLfdK9wT935QKzqS5Ytm1Gn7Soom5GixRqiDCqMAU6iivKPpNgooqxY2b314kEXVjyScYHc0m0ldg2krst6Po8mpS73ylup+ZvX2FdnFEkEKxQqERRgKO1MtbWKzt1hgXaij8/c1NXgYiu6svI8OvWdWXkFFFFc5zhRRRQAUUUUAFFFFABTJYkmiaOVQ6MMFT3p9FGwHFazo76dLvjy1ux+Vv7vsay69EuIEurd4ZQSjjBwcVwd9ZyWN48EvVTwQc5HY17eFxHtVyy3R7GFr+0XLLdFeiiiu07RsiLLGyOMqwwRXI3Vu1rcvE38J4PqK7CsPxBBzHONoH3T6n/GunDztK3c8/HU+anzdUYtFFFegeIFFFFABRRRQAUUUUAFfWXwU1xtb+FuniWQyTWDNZSEjGAnKD8I2QV8m171+zXqxKa5o8k3AMd1DFx7rI3r/wA8xVQdmeTm9LnwrfbX9D3eiiiug+KCvlr4+6kb74pzW5QKLC1htwQc7sgy5Pp/rMfhX1LXxr8Sbya++JviGW4kMjrfyxAnHCo2xR+CqB+FZ1Nj3ckhevKXZHMUUUVifXBRRRQAUUUUAFFFFABXWadCYLCJGGDjJ6f0rl7dS9zGoBJLDp1612I4FceKlokepl8dZSFoooriPXCus8MWPk2bXTj5puF9lFczaQG5vIoRj52A5r0FEEaKiDCqMAe1edjqnLFQXU8/G1LRUF1HUUUV5B5QUUUUAFFFFABRRRQAUUUUAFFFFABWF4nsfOs1ukHzw8N7rW7TZEEsTI2cMCDj3rSlUdOakjSnNwmpI84oqS4ha3uZIXGCjEHnNR19GndXPoE7q6Cq2oQ+fYypz0yMAH+dWaQ8iqTs7ilFSi4s4qipblPLupVG7hj94c1FXrrVHy7VnYKKKKYgooooAKKKKACvTPgFqRsfilDbhNwv7Wa3J3Y24HmZ9/8AV4/GvM66n4Z3sth8T/D80G3c19HCd392Q7G/RjTWjOfFQ56E490z7IooorpPzwK+Htf1A6t4l1PUXTy2vLuWcoDnbuctjPfrX3DXwjMczyf7x/nWVTofS5Cleo/T9RlFFFZH0wUUUUAFFFFABRRRQBc0pS2pw4BODk47cV1Vc1of/ISH+4a6WvPxL989vAL9035hRRRXMegavhuLzNYQlNwRSScZx6Gu0rlfCf8Ax+z/APXP+tdVXiY13q2PGxjvVCiiiuI4wooooAKKKKACiiigAooooAKKKKACiiigDifEUax61LsGNwDH6kVmVv8Aiz/j9g/65/1rAr6HDu9KLPew7vSiwooorc3OW1cAanLhCvTr396pVo65/wAhI/7grOr1afwI+arq1WXqFFFFaGIUUUUAFFFFABWn4bv10rxVpOoSBitpewzsFGSQrhuM9+KzKfD/AK+P/eH86BNKSsz7uooorqPzUK+EZuLiT/eP86+7q+JPFdlHpvjLWbGBdsVtfzxIuScKshA689BWVTofSZDJXqL0/UyaKKKyPpwooooAKKKKACiiigDR0P8A5CQ/3DXS1yuk7f7Ti3568Y9a6qvPxPxnt4B/un6hRRRXMegbvhRgL+YEgFo+BnrzXWVxHh+VYdah3Z+bKjHqa7evExytVueNjFarcKKKK4jjCiiigAooooAKKKKACiiigAooooAKKKKAOV8Wf8fsH/XP+tYFafiGRZNal2HO0BT7ECsyvocOrUoo97Dq1KKCiiitzc5rW2B1I4IOFAOO1Z1W9TZW1KYpyM8nOcmqletTVoI+arO9ST8woooqzEKKKKACiiigAp8AzcRj/aH86ZWt4UsYtT8ZaNY3C7orm/ghkAOMq0gB5HsaBSlyptn23RRRXUfmoV8dfFKwbTfilr8DtuL3bT5xjiQCQD8A+K+xa+Xv2gdOSy+JxuUZib+yincE9CMx4HtiMH8TWdTY93JJ2xDj3R5fRRRWJ9cFFFFABRRRQAUUUUAS28nlXMb7Q21gcN0rsAcqCO9cVXV6bc/abJGJXcBhgvauPEx0TPUy+dm4luiiiuI9cfDK0MySISGUggg4r0K3mW4t45kxh1B4OcV51XUeF7/fE1nI3zJ80eT27ivPxtPmhzLocGMp80eZdDoaKKK8c8kKKKKACiiigAooooAKKKKACiiigAqOeZbe3klfGEUnk4qSue8UX+yJLONuX+aTB7dhWtGm6k1E1pU3UmonNTStNM8jklmJJyc0yiivoj39gprNtRm9BmnVS1WfyNPcg4ZvlHODVRXM0iaklCDk+hzEj+ZKz4xuYnFNoor2D5gKKKKBBRRRQAUUUUAFdX8L7CXUvij4fhgKhkvEnO4nG2P943TvhTXKV6h+z9py3vxOFy7FTYWcs6gfxE4jwfwkJ/Cmtznxc+TDzl5M+oaKKK6T88CvD/2k9JeTTNE1dAuyGaS2kPclwGX8Pkb8xXuFcT8YNE/tz4XatGqI01pGLuIt/CYzuYj32bx+NTJXR3ZfV9lioS87ffofIlFFFc596FFFFABRRRQAUUUUAFbOg3LCRrckbSNwyTxWNUkErQTpKnVTms6keeLRtRqezqKR2VFQ2tyl3brLHnB7HsamrymmnZn0iakroKltrmS0uEmhYqynt39qiopNJqzBpNWZ6DZXaX1ok8XAYcjOdp9KsVwemanLptxuT5o2++mev/167a1uory3Wa3bcjfp7GvCxGHdKV1seJXoOk/ImooorlOYKKKKACiiigAooooAKKKhurqKzt2muG2ov6+woSbdkNJt2Qy+vY7C0aeXJA4AHc+lcJc3Ml3cPNMxZmPft7VY1PU5dSuN7/LGv3EzwB/jVKvcw2H9lG73Z7OGoeyV3uwooorsOsK5/X52a4SD+FBu+pNbk86W8LSyEBVHfvXITStPO8r9WOa6sNC8uY87HVEoci3Yyiiiu88UKKKKACiiigAooooAK9+/Zr0pls9c1aS3XbI8VtDOcZ+UFnUdwPmjJ7Hj0rwGvrn4O6D/AGD8L9LR0VZ71TeylWJ3GTlT7HZsGPUVcF7x5GcVeTCuP8zS/X9DuKKKK3PiwpHRZI2RwGVgQwPcUtFAHxD4j0abw74l1DSLkNvs52iyyFd6g/K2D2IwR7GsyvZP2ifDQsvEll4gt0by9Rj8q4OCQJYwACT0GUwAOPuE+teN1zNWdj9DwtZV6Mandfj1CiiikdAUUUUAFFFFABRRRQBpaRfm3mEMrHynPHGcGukria6HRr/z4vIlJMiDgk9RXHiKf20ergsR/wAu5fI1aKKK4j1gq1Y6jcafKHgfC5yyHo31qrRUyipKzJlFSVmdxp+tWuoKAGEUuf8AVsefw9etaNebAkEEcEdDWnZ6/e2iqu8Sov8AC/PbHWvMq4HrTZ51TBPeDO2orBt/FVsy/wCkxPGwA+7yD61f/tvTv+ftPyNcUqFWLs4nFKjUi7NF+iqv9p2Xked9pj2eu73x0qFtc05VJ+0qcDOADk1CpzeyZKpzeyNCisG48VWyL/o0TyMQfvcAHtWPea/e3asm8RI38Kcdsda6IYOrLdWN4YWrLdWOk1HW7XT/AJSfNl/uIenPc9q5K+1G41CUvO+VzlUHRfpVUkkknknqaK9Sjh4UtVuelRw8KWu7Ciiiuk6QoorN1bUTaRiOEjzW/wDHR61UYuTsjOpUjTi5SKGt3qzzCCPBWM5LA9TWVQSSSSck9TRXqQioRsj52rUdSbkwoooqzIKKKKACiiigAooooA0/DmizeIvE2n6Rb7g95cJEWVC2xSfmbA7AZJ9ga+24IIrW3jgto1ihiQJHGgwqKBgADsAK+dP2dvDTXvii88QTxZg0+IxQuSw/fPwcdjhNwIJ43rx6fR1bU1pc+Szqvz1lSX2fzf8AwLBRRRWh4IUUUUAcp8S/C58XeAdQ02BA12q+fa5UE+anIAyRgsMrntur45IwcHg19418r/G/wcPDPjdr20j22GrBp48dFkz+8Xr6kN6fPgdKyqLqfS5JibN0Jeq/X+vU82ooorI+mCiiigAooooAKKKKACnI7RuHjYqynII7U2igex02napHdoElISbpj+99K0K4kEggg4I6EVtabrARRDeMcDhX/wAa4auHtrE9bD4y/u1PvNyimo6yIGjYMp6EGnVyHp7hRRRQMKKKKACiiigAooooAKKKKACimu6xoXchVUZJPasa+1z70doPbzD/AEq4U5TehjVrQpK8mXNR1NLOPbGQ8x6D09zXNPI0sjPIxZmOST3ppJJJJyT1NFejTpqmtDw6+IlWd3sFFFFanMFFFFABRRRQAUUUUAFAGTgcmivSfgh4PHibxwt9dx7rDSNtxJno8uf3a9fUFu4+TB60bmVarGjTdSWyPfvhr4XPhHwDp+mzIq3bKZ7rCgHzX5IOCclRhc99orqqKK6UrKx+e1Kkqs3OW7CiiimZhRRRQAVyfxJ8Gp438GXGmqVS7jYT2kjZwsi54OOxBK+2c4OK6yik1dWNKVSVKanHdHwjNDLbXEkFxG0UsTFHRxhlYHBBHY5plezfHn4ftpuqnxXpcLNaXr/6aqIAsEvAD8dnPU4+93+YCvGa52rOx+gYevHEUlUj1CiiikbhRRRQAUUUUAFFFFABRRRQBYtb2ezYmF8A9VPINbllrMNwdk37p+2Twea5uisp0oz3OmjiKlLZ6djtEdZEDRsGU9CDTq4+C6mtmBhcrznHY1fg16dNomVZAOp6E9P/AK9cksNJbHo08fBr3lY6GismPX4So8yN1OQDjn6mpxrNkVZvMI29ivJrJ0prodMcRRltIv0Vn/23Zf32/wC+TR/bVltB3t16bTS9nPsP6xS/mRoUVkya/CFPlxuxyQM8fQ1Sm125fIjCxgjHqauNCb6GUsZRj1udC7rGhaRgqjqSazbrW4IflgHmt6jpWHPdTXLEzOW53Y7Coa6IYZLWRxVcfJ6QVizc39xdZEsnyk52jgVWoorqSSVkefKTk7yYUUUUyQooooAKKKKACiiigAooooAfDDLc3EcFvG0ssjBERBlmYnAAHc5r7C+G3g1fA/gy302Qq15ITPduvRpWxwPYABffGe9eR/AT4f8A9oX/APwlmqwhrW1cpYo6/flGMyc9l6D/AGvQrX0RWtOPU+WznF80vYQ2W/r2CiiitT50KKKKACiiigAooooAqarpVlrelXGm6pbrc2lymyWJ+hH9CDggjkEZr5A8e+Cb7wN4ll0+7VmtpCXs585EseeOcD5h0I9fYgn7KrlfiH4Hs/HXhiWymRFvoVZ7K4PBikx0J/unABHpz1AqJxuerluOeGqcsvhe/l5/5nxxRVzVdKvdE1SfTtVt3tru3fZJG45B/qD1BHBHNU6wPtk01dBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXT+AfBN7458TRadahktkIe7uO0Meef+BHoB3PsCRiaTpN9rurW+m6TbPc3dw+yOJOpPr6AAckngAEmvr3wD4GsPAfh1bC0AlupcPd3RX5pnx/6COcDtk9ySajHmZ5uYY1YWnp8T2/zN/TdOtdI0u20/T4hFbWsSxRIOygYH1PvVmiiug+HbcndhRRRQIKKKKACiiigAooooAKKKKAPPfiz8No/HGifadPiRdcs1/0dywXzlzkxsfz256HuATXyrc209ndS213C8E8LlJIpFKsjA4IIPQg192V5p8VPhNb+Nof7T0jyrXXIwAXbhLpR/C+OjAdG/A8YK5zjfVHvZZmXsbUavw9H2/4H5HyzRVrUtNvdH1Kew1S2ktbuBtskUgwVP8AhjkHoQc1VrE+tTTV0FFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABU9jY3WpX0NlYQPcXM7hI4oxlmJ7Cn6bpt5rGpQafplu9zd3D7Iooxyx/oO+egHNfUfwt+Flr4GsRe6gI7nW51xJKOVgU/wJ/U9/pTSbehxYzGU8LDmlv0RL8Lfhna+BdJFxdqk2t3Kf6RN1EQ/wCeaew7nufbAHf0UV0JJKx8PWrTrzdSb1YUUUUzEKKKKACiiigAooooAKKKKACiiigAooooA4n4jfDPTvH9ijM4s9UgGILwJnI/uOO6/qDyO4Py34m8M6p4S1yXStag8qePlWXlJV7Op7g//WOCCK+2qyPE/hfSvF2iyaZrduJYX5R14eJuzoexH/1jkEis5Qvqj2MBmc8PaE9Y/l/XY+JaK9F+IXwf1jwY8t7Yq2paNuJE8a5eFev71QOO/wAw445xkCvOqx2Pr6VaFaHPTd0FFFFBoFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABWz4Y8Kav4v1dNP0O0aeQn95IRiOFf7zt0UcH69Bk8V1nw9+D2seM2ivr7dpujbhmeRcSTrjP7pT1HQbjxzxuwRX0r4Z8L6V4R0WLTNEtxDCnLueXlbu7nuT/9YYAAq4xbPIx2aU8PeENZfgvX/IwPh18M9N8A6exUrearMP396yYIH9xB/Cv6k8nsB21FFbJJbHyFWrOtNzm7thRRRTMgooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAAjIweRXlHjj4EaN4geW+8Ouuj3xX/UpGPs8hAP8I+4Sccjjj7pJr1eik0nub0MRVw8uam7HxP4k8J614S1A2mu2Ets24iOUjMcuMco/RhyOnTPODWNX3TfWFnqdm9pqVrDd20mN8M8YdGwcjIPHWvIfFX7O+l30j3HhS+bTHIJ+yz5liJwMYb7yjrnO7rxjGKycGtj6bDZzTn7tZcr79P+AfOlFdL4n+H/AIl8IzSDWNMmECHi7hBkhYZwDvHAz6HB5HFc1WZ7kJxnHmi7oKKKKCgooooAKKKKACiiigAooooAKKKKACiiigAorpfC/wAPvEvi+ZBo2mStbsebuYeXCoyATvPBxnouT14r2Twj+zxp1ltufGF3/aM3/PpasyQjqOW4Zv4TxtwQRyKai3scWIx1DD/HLXst/wCvU8Q8NeEdb8XagLTQbCW5IYCSXGI4c5OXfovQ+5xgZPFfQPgf4EaN4faO98Rsms34B/csg+zRkgfwkZcjnluOfugjNen2VjaabZpaadaw2ltHnZDBGERcnJwo4HJJqetVBLc+axWbVq3u0/dX4/eFFFFaHjBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAARkYPIriPEHwg8F+IVYyaSlhOVCifTz5JUA5+6PkJPTJUnH0FdvRSaT3NadapSd6cmj571z9m/UIpS/hzWre4iJY+XeqY2QZ+UblDBjjqcL06c8cBqnws8baQV+1eHLyQMCQbVRcAY9fLLY696+w6Kh010PVpZ1iIaTtL+vI+D2VkOHUqfQjFJX3NqGk6dq0SxarYWt7Gp3KlzCsgB9cMD6mud1H4V+CNUZWuvDdmhXOPswaDOfXyyufxqfZs9GGe0n8cGvTX/ACPjuivqbUPgH4IvWQ29ve6ftzkW10Tu+vmBuntjrVE/s5+ESf8Aj/1oe3nxf/G6XIzoWc4Vrr9x8z0V9Kj9nHwpu51LWNvp5sX/AMbp3/DOfhHP/IQ1r/v/ABf/ABujkkP+2MJ3f3HzRRX1Np/wD8EWTMbiC91ANjAubogL16eWF/X0rd074VeB9LZmtfDdm5br9pDXA/ASFsdaPZszlneHXwpv+vU+P4opJ5VigjaSRyFVEXJY+gFdVpfws8bauX+y+HLyMIASbpRbg59PMK5/DNfXOn6Vp2kQtDpVha2MTtuZLaFY1Y9MkKBzVuqVPucVTPZf8u4fefPui/s230mH8Q65BbgMCYrKIyFl7je23afwIr0rw/8AB7wX4fUFNJTUJ9pUzajickE5+6RsBHqFBruKKtRSPLrZjia2kpWXloFFFFUcAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQB//Z\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":45358,"title":"Do they touch?","description":"The center and radius of two circles are given.\r\n\r\nDetermine whether they touch.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20px; 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: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"display: block; min-width: 0px; padding-top: 0px; transform-origin: 332px 25.5px; vertical-align: baseline; perspective-origin: 332px 25.5px; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; transform-origin: 309px 10.5px; white-space: pre-wrap; perspective-origin: 309px 10.5px; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe center and radius of two circles are given.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; transform-origin: 309px 10.5px; white-space: pre-wrap; perspective-origin: 309px 10.5px; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eDetermine whether they touch at one point.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = touch(x)\r\n y = x;\r\nend","test_suite":"%%\r\nx1=[0,0];\r\nx2=[5,5];\r\nr1=3;\r\nr2=2;\r\nassert(isequal(touch(x1,x2,r1,r2),0))\r\n\r\n%%\r\nx1=[0,0];\r\nx2=[3,4];\r\nr1=3;\r\nr2=2;\r\nassert(isequal(touch(x1,x2,r1,r2),1))\r\n\r\n%%\r\nx1=[2,1];\r\nx2=[3,4];\r\nr1=4;\r\nr2=2;\r\nassert(isequal(touch(x1,x2,r1,r2),0))\r\n\r\n%%\r\nx1=[-1,0];\r\nx2=[3,-3];\r\nr1=3;\r\nr2=8;\r\nassert(isequal(touch(x1,x2,r1,r2),1))\r\n\r\n%%\r\nx1=[-5,-5];\r\nx2=[5,5];\r\nr1=5;\r\nr2=5;\r\nassert(isequal(touch(x1,x2,r1,r2),0))","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":25,"test_suite_updated_at":"2020-02-26T14:39:10.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-02-26T14:25:46.000Z","updated_at":"2026-02-24T05:33:32.000Z","published_at":"2020-02-26T14:39:10.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe center and radius of two circles are 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\u003eDetermine whether they touch at one point.\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":45337,"title":"Area-03","description":"There are two circles of equal size are inscribed inside a square. They are tangent to each other.\r\n\r\n\u003chttps://serving.photos.photobox.com/4629487514d477b90123a8d594e9bdaa5ddba8e2ac82569375c49cd5551dd3acffb751ed.jpg\u003e\r\n\r\nGiven the side length of the square, find the radius of the circles.","description_html":"\u003cp\u003eThere are two circles of equal size are inscribed inside a square. They are tangent to each other.\u003c/p\u003e\u003cp\u003e\u003ca href = \"https://serving.photos.photobox.com/4629487514d477b90123a8d594e9bdaa5ddba8e2ac82569375c49cd5551dd3acffb751ed.jpg\"\u003ehttps://serving.photos.photobox.com/4629487514d477b90123a8d594e9bdaa5ddba8e2ac82569375c49cd5551dd3acffb751ed.jpg\u003c/a\u003e\u003c/p\u003e\u003cp\u003eGiven the side length of the square, find the radius of the circles.\u003c/p\u003e","function_template":"function y =inscribed_circle_3(a)\r\n y = x;\r\nend","test_suite":"%%\r\na = 1;\r\ny_correct = .2929;\r\nassert(abs(inscribed_circle_3(a)-y_correct)\u003c0.001)\r\n\r\n%%\r\na = 10;\r\ny_correct = 2.9289;\r\nassert(abs(inscribed_circle_3(a)-y_correct)\u003c0.001)\r\n\r\n%%\r\na = 23.6;\r\ny_correct = 6.9123;\r\nassert(abs(inscribed_circle_3(a)-y_correct)\u003c0.001)\r\n\r\n%%\r\na = 0;\r\ny_correct = 0;\r\nassert(abs(inscribed_circle_3(a)-y_correct)\u003c0.001)\r\n\r\n%%\r\na = pi;\r\ny_correct = 0.9202;\r\nassert(abs(inscribed_circle_3(a)-y_correct)\u003c0.001)","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":32,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-02-17T06:35:50.000Z","updated_at":"2025-12-07T20:32:03.000Z","published_at":"2020-02-17T06:36:40.000Z","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\u003eThere are two circles of equal size are inscribed inside a square. They are tangent to each other.\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:hyperlink w:docLocation=\\\"https://serving.photos.photobox.com/4629487514d477b90123a8d594e9bdaa5ddba8e2ac82569375c49cd5551dd3acffb751ed.jpg\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026lt;https://serving.photos.photobox.com/4629487514d477b90123a8d594e9bdaa5ddba8e2ac82569375c49cd5551dd3acffb751ed.jpg\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven the side length of the square, find the radius of the circles.\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":45334,"title":"Area-02","description":"Given the radius of the circle inscribed in a square, find the area of the square that can be fitted perfectly in the corner.\r\n\r\n\u003chttps://serving.photos.photobox.com/951462430971a9cfd5dff5f0f3e94dee75ee1bb89ddb5e3e47e18f79b04d3cd720c92cb2.jpg\u003e","description_html":"\u003cp\u003eGiven the radius of the circle inscribed in a square, find the area of the square that can be fitted perfectly in the corner.\u003c/p\u003e\u003cp\u003e\u003ca href = \"https://serving.photos.photobox.com/951462430971a9cfd5dff5f0f3e94dee75ee1bb89ddb5e3e47e18f79b04d3cd720c92cb2.jpg\"\u003ehttps://serving.photos.photobox.com/951462430971a9cfd5dff5f0f3e94dee75ee1bb89ddb5e3e47e18f79b04d3cd720c92cb2.jpg\u003c/a\u003e\u003c/p\u003e","function_template":"function y = inscribed_circle_2(r)\r\n y = x;\r\nend","test_suite":"%%\r\nr=1;\r\ny_correct = 0.0858;\r\nassert(abs(inscribed_circle_2(r)-y_correct)\u003c0.001)\r\n%%\r\nr=11;\r\ny_correct = 10.3802;\r\nassert(abs(inscribed_circle_2(r)-y_correct)\u003c0.001)\r\n%%\r\nr=45.98;\r\ny_correct = 181.3663;\r\nassert(abs(inscribed_circle_2(r)-y_correct)\u003c0.001)\r\n%%\r\nr=0;\r\ny_correct = 0;\r\nassert(abs(inscribed_circle_2(r)-y_correct)\u003c0.001)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":42,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-02-16T18:38:38.000Z","updated_at":"2025-08-03T22:41:51.000Z","published_at":"2020-02-16T18:39:11.000Z","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\u003eGiven the radius of the circle inscribed in a square, find the area of the square that can be fitted perfectly in the corner.\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:hyperlink w:docLocation=\\\"https://serving.photos.photobox.com/951462430971a9cfd5dff5f0f3e94dee75ee1bb89ddb5e3e47e18f79b04d3cd720c92cb2.jpg\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026lt;https://serving.photos.photobox.com/951462430971a9cfd5dff5f0f3e94dee75ee1bb89ddb5e3e47e18f79b04d3cd720c92cb2.jpg\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\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":45406,"title":"Yoonir - 01","description":"Find the area of a five-pointed star inscribed in a circle of radius r.","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: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 10.5px; transform-origin: 407px 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: 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: 207.5px 8px; transform-origin: 207.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFind the area of a five-pointed star inscribed in a circle of radius r.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y =yoonir_02(r)","test_suite":"%%\r\nassert(abs(yoonir_02(10)-112.257)\u003c0.001)\r\n\r\n%%\r\nassert(abs(yoonir_02(3)-10.1031)\u003c0.001)\r\n\r\n%%\r\nassert(abs(yoonir_02(pi)-11.0793)\u003c0.001)\r\n\r\n%%\r\nassert(abs(yoonir_02(pi^5)-105126.4832)\u003c0.001)\r\n\r\n%%\r\nassert(abs(yoonir_02(1)-1.1226)\u003c0.001)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":363598,"edited_by":223089,"edited_at":"2023-01-14T09:16:04.000Z","deleted_by":null,"deleted_at":null,"solvers_count":24,"test_suite_updated_at":"2023-01-14T09:16:04.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-03-31T00:21:25.000Z","updated_at":"2026-01-03T15:34:12.000Z","published_at":"2020-03-31T00:21:25.000Z","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 area of a five-pointed star inscribed in a circle of radius r.\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":837,"title":"Find all the zeros of sinus , cosinus and tangent in a given interval","description":"The aim is to find all the zeros of a function within an interval.\r\n\r\n*Input* : \r\n\r\n* fcn : an anonymous function (@sin, @cos...)\r\n* \r\n* lb : lower bound\r\n* \r\n* ub :upper bound\r\n\r\n\r\n*Output* :\r\n\r\n* output : vector with unique values for which the input function return zero\r\nThe values must be sorted in ascending order. \r\n\r\n*Example* \r\n\r\n\r\n\r\n output = find_zeros(@sin,0,2*pi) will return :\r\n\r\n output = [0.0000 3.1416 6.2832]\r\n\r\nsince the sinus function between [0 2pi] is zero for [0 pi 2pi]\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20px; 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: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"display: block; min-width: 0px; padding-top: 0px; transform-origin: 332px 197px; vertical-align: baseline; perspective-origin: 332px 197px; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; transform-origin: 309px 10.5px; white-space: pre-wrap; perspective-origin: 309px 10.5px; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe aim is to find all the zeros of a function within an interval.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; transform-origin: 309px 10.5px; white-space: pre-wrap; perspective-origin: 309px 10.5px; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eInput\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-bottom: 20px; margin-top: 10px; transform-origin: 316px 50px; perspective-origin: 316px 50px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"display: list-item; margin-bottom: 0px; margin-left: 56px; margin-top: 0px; text-align: left; transform-origin: 288px 10px; white-space: pre-wrap; perspective-origin: 288px 10px; margin-left: 56px; \"\u003e\u003cspan style=\"display: inline; margin-left: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003efcn : an anonymous function (@sin, @cos...)\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"display: list-item; margin-bottom: 0px; margin-left: 56px; margin-top: 0px; text-align: left; transform-origin: 288px 10px; white-space: pre-wrap; perspective-origin: 288px 10px; margin-left: 56px; \"\u003e\u003c/li\u003e\u003cli style=\"display: list-item; margin-bottom: 0px; margin-left: 56px; margin-top: 0px; text-align: left; transform-origin: 288px 10px; white-space: pre-wrap; perspective-origin: 288px 10px; margin-left: 56px; \"\u003e\u003cspan style=\"display: inline; margin-left: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003elb : lower bound\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"display: list-item; margin-bottom: 0px; margin-left: 56px; margin-top: 0px; text-align: left; transform-origin: 288px 10px; white-space: pre-wrap; perspective-origin: 288px 10px; margin-left: 56px; \"\u003e\u003c/li\u003e\u003cli style=\"display: list-item; margin-bottom: 0px; margin-left: 56px; margin-top: 0px; text-align: left; transform-origin: 288px 10px; white-space: pre-wrap; perspective-origin: 288px 10px; margin-left: 56px; \"\u003e\u003cspan style=\"display: inline; margin-left: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eub :upper bound\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; transform-origin: 309px 10.5px; white-space: pre-wrap; perspective-origin: 309px 10.5px; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eOutput\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-bottom: 20px; margin-top: 10px; transform-origin: 316px 20px; perspective-origin: 316px 20px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"display: list-item; margin-bottom: 0px; margin-left: 56px; margin-top: 0px; text-align: left; transform-origin: 288px 20px; white-space: pre-wrap; perspective-origin: 288px 20px; margin-left: 56px; \"\u003e\u003cspan style=\"display: inline; margin-left: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eoutput : vector with unique values for which the input function return zeroThe values must be sorted in ascending order.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; transform-origin: 309px 10.5px; white-space: pre-wrap; perspective-origin: 309px 10.5px; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eExample\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-bottom: 10px; margin-left: 3px; margin-right: 3px; margin-top: 10px; transform-origin: 329px 30px; perspective-origin: 329px 30px; 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-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-top-left-radius: 0px; border-top-right-radius: 0px; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-height: 18px; padding-left: 4px; transform-origin: 329px 10px; white-space: nowrap; perspective-origin: 329px 10px; \"\u003e\u003cspan style=\"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-right: 45px; min-height: 0px; padding-left: 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; perspective-origin: 0px 0px; margin-right: 45px; \"\u003e\u003cspan style=\"margin-right: 0px; \"\u003eoutput = find_zeros(@sin,0,2*pi) will \u003c/span\u003e\u003cspan style=\"border-bottom-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); margin-right: 0px; outline-color: rgb(170, 4, 249); text-decoration-color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); \"\u003ereturn :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; 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-top-left-radius: 0px; border-top-right-radius: 0px; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-height: 18px; padding-left: 4px; transform-origin: 329px 10px; white-space: nowrap; perspective-origin: 329px 10px; \"\u003e\u003cspan style=\"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-right: 45px; min-height: 0px; padding-left: 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; perspective-origin: 0px 0px; margin-right: 45px; \"\u003e\u003cspan style=\"margin-right: 0px; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; 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-top-left-radius: 0px; border-top-right-radius: 0px; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-height: 18px; padding-left: 4px; transform-origin: 329px 10px; white-space: nowrap; perspective-origin: 329px 10px; \"\u003e\u003cspan style=\"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-right: 45px; min-height: 0px; padding-left: 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; perspective-origin: 0px 0px; margin-right: 45px; \"\u003e\u003cspan style=\"margin-right: 0px; \"\u003eoutput = [0.0000 3.1416 6.2832]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 10px; text-align: left; transform-origin: 309px 10.5px; white-space: pre-wrap; perspective-origin: 309px 10.5px; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003esince the sinus function between [0 2pi] is zero for [0 pi 2pi]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function output = find_zeros(fcn,lb,ub)\r\noutput = lb*up;","test_suite":"%% Test sinus between [0 2pi]\r\nassert(all(abs(find_zeros(@sin,0,2*pi) -[0 pi 2*pi])\u003c1e-9))\r\n\r\n%% [0 pi]\r\nassert(all(abs(find_zeros(@sin,0,pi) -[0 pi ])\u003c1e-9))\r\n\r\n%% [0 pi/3] \r\nassert(all(abs(find_zeros(@sin,0,pi/3) -0) \u003c1e-9))\r\n\r\n%% Test cos between [0 2pi]\r\nassert(all(abs(find_zeros(@cos,0,2*pi) -[pi/2 3*pi/2])\u003c1e-9))\r\n\r\n%% Test tan between [0 pi/4]\r\nassert(all(abs(find_zeros(@tan,0,pi/4) -0)\u003c1e-9))","published":true,"deleted":false,"likes_count":1,"comments_count":7,"created_by":639,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":24,"test_suite_updated_at":"2020-09-29T14:30:54.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2012-07-17T07:42:46.000Z","updated_at":"2026-01-03T12:33:06.000Z","published_at":"2012-07-17T08:10:10.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe aim is to find all the zeros of a function within an interval.\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\u003eInput\u003c/w:t\u003e\u003c/w:r\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=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003efcn : an anonymous function (@sin, @cos...)\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003elb : lower bound\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eub :upper bound\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\u003eOutput\u003c/w:t\u003e\u003c/w:r\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=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eoutput : vector with unique values for which the input function return zeroThe values must be sorted in ascending order.\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[output = find_zeros(@sin,0,2*pi) will return :\\n\\noutput = [0.0000 3.1416 6.2832]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003esince the sinus function between [0 2pi] is zero for [0 pi 2pi]\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":61088,"title":"Covering a four-pointed star polygon by circles","description":"Given the area, A, of a star polygon formed by the rectangle, with dimensions L×2L, and four triangles, with height h from their bases to the vertices, consider the circles that cover the distances between opposite vertices (cf. figure below).\r\nGiven (A,h), return the 2x2 matrix M = [A1/π a1; A2/π a2], where\r\nin the first row (i=1), A1 stands for the area of the circle that covers the minimum distance (cf. left figure), and a1 stands for the logical 1 if A1 is smaller than or reaches the area A or a1 stands for the logical 0 if A1 surpasses A;\r\nin the second row (i=2), A2 stands for the area of the circle that covers the maximum distance (cf. right figure), and a2 has the same previous false-true meaning relative to the areas A2 and A. Obviously, that A2 \u003e A holds true, then a2 = 0.\r\ninput: (A, h)\r\noutput: M = [A1/π a1; A2/π 0]\r\n","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: 748.987px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 408px 374.487px; transform-origin: 408px 374.494px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; 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: 384px 21px; text-align: left; transform-origin: 384px 21px; 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=\"\"\u003eGiven the area, \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, of a star polygon formed by the rectangle, with dimensions \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eL\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e×\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e2L\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and four triangles, with height \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eh\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e from their bases to the vertices, consider the circles that cover the distances between opposite vertices (cf. figure below).\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: 384px 10.5px; text-align: left; transform-origin: 384px 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=\"\"\u003eGiven \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(A,h)\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, return 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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e2\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ex\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e2\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e matrix \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eM = [A1/π a1; A2/π a2]\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, where\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 102.188px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 391px 51.0875px; transform-origin: 391px 51.0938px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 40.875px; 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 20.4375px; text-align: left; transform-origin: 363px 20.4375px; 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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ein the first row \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(i=1)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the area of the circle that covers the minimum distance (cf. left figure), and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ea1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the logical \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is smaller than or reaches the area \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e or \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ea1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the logical \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e0\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e surpasses \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 61.3125px; 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 30.65px; text-align: left; transform-origin: 363px 30.6562px; 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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ein the second row \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(i=2)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the area of the circle that covers the maximum distance (cf. right figure), and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ea2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e has the same previous false-true meaning relative to the areas \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Obviously, that A2 \u0026gt; A holds true, then \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ea2 = 0\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\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: 384px 10.5px; text-align: left; transform-origin: 384px 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-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003einput:\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(A, h)\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: 384px 10.5px; text-align: left; transform-origin: 384px 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-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eoutput:\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eM = [A1/π a1; A2/π 0]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 484.8px; 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: 384px 242.4px; text-align: left; transform-origin: 384px 242.4px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cimg class=\"imageNode\" width=\"601\" height=\"479\" style=\"vertical-align: baseline;width: 601px;height: 479px\" src=\"data:image/png;base64,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\" alt=\"Covering by circles\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function M = covering_by_circles(A,h)\r\n M = x;\r\nend","test_suite":"%%\r\nA = 27;\r\nh = 1;\r\nM_correct = [6.25 1; 16 0];\r\nassert(isequal(covering_by_circles(A,h),M_correct))\r\n\r\n%%\r\nA = 36;\r\nh = 2;\r\nM_correct = [12.25 0; 25 0];\r\nassert(isequal(covering_by_circles(A,h),M_correct))\r\n\r\n%%\r\nA = 56;\r\nh = 2;\r\nM_correct = [16 1; 36 0];\r\nassert(isequal(covering_by_circles(A,h),M_correct))\r\n\r\n%%\r\nfiletext = fileread('covering_by_circles.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || ...\r\n contains(filetext, 'str2num'); \r\nassert(~illegal)\r\n\r\n%%\r\nA = 68;\r\nh = 1.2;\r\nM_correct = [13.69 1; 38.44 0];\r\nassert(all(isapprox(covering_by_circles(A,h),M_correct), 'all'))\r\n\r\n%%\r\nA = 89;\r\nh = 2.6;\r\nM_correct = [26.01 1; 57.76 0];\r\nassert(all(isapprox(covering_by_circles(A,h),M_correct), 'all'))","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":4993982,"edited_by":4993982,"edited_at":"2025-11-30T13:14:56.000Z","deleted_by":null,"deleted_at":null,"solvers_count":9,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-11-29T14:26:03.000Z","updated_at":"2026-03-22T14:02:11.000Z","published_at":"2025-11-30T13:14:56.000Z","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\u003eGiven the area, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, of a star polygon formed by the rectangle, with dimensions \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eL\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2L\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, and four triangles, with height \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e from their bases to the vertices, consider the circles that cover the distances between opposite vertices (cf. figure below).\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 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(A,h)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, return the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e matrix \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eM = [A1/π a1; A2/π a2]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, where\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ein the first row \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(i=1)\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the area of the circle that covers the minimum distance (cf. left figure), and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the logical \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is smaller than or reaches the area \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e or \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the logical \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e0\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e surpasses \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\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=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ein the second row \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(i=2)\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the area of the circle that covers the maximum distance (cf. right figure), and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e has the same previous false-true meaning relative to the areas \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. Obviously, that A2 \u0026gt; A holds true, then \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea2 = 0\u003c/w:t\u003e\u003c/w:r\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:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003einput:\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(A, h)\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:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eoutput:\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eM = [A1/π a1; A2/π 0]\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=\\\"479\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"601\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"Covering by circles\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":44369,"title":"Circle/Pentagon Overlap","description":"Your function will be provided with the five vertices of a pentagon (p) as well as the center point (cp) and radius (r) of a circle. The function should return the number of pentagon vertices that lie within or on the circle. The tolerance for lying on the circle is 0.02.","description_html":"\u003cp\u003eYour function will be provided with the five vertices of a pentagon (p) as well as the center point (cp) and radius (r) of a circle. The function should return the number of pentagon vertices that lie within or on the circle. The tolerance for lying on the circle is 0.02.\u003c/p\u003e","function_template":"function y = circle_pentagon_overlap(p,cp,r)\r\n y = 0;\r\nend","test_suite":"%%\r\np = [0,5; 4.76,1.55; 2.94,-4.05; -2.94,-4.05; -4.76,1.55];\r\ncp = [0,0];\r\nr = 5;\r\ny_correct = 5;\r\nassert(isequal(circle_pentagon_overlap(p,cp,r),y_correct))\r\n\r\n%%\r\np = [0,5; 4.76,1.55; 2.94,-4.05; -2.94,-4.05; -4.76,1.55];\r\ncp = [0,0];\r\nr = 4;\r\ny_correct = 0;\r\nassert(isequal(circle_pentagon_overlap(p,cp,r),y_correct))\r\n\r\n%%\r\np = [0,5; 4.76,1.55; 2.94,-4.05; -2.94,-4.05; -4.76,1.55];\r\ncp = [0,0];\r\nr = 15;\r\ny_correct = 5;\r\nassert(isequal(circle_pentagon_overlap(p,cp,r),y_correct))\r\n\r\n%%\r\np = [0,5; 4.76,1.55; 2.94,-4.05; -2.94,-4.05; -4.76,1.55];\r\ncp = [2,0];\r\nr = 5;\r\ny_correct = 2;\r\nassert(isequal(circle_pentagon_overlap(p,cp,r),y_correct))\r\n\r\n%%\r\np = [0,5; 4.76,1.55; 2.94,-4.05; -2.94,-4.05; -4.76,1.55];\r\ncp = [2,0.75];\r\nr = 5;\r\ny_correct = 3;\r\nassert(isequal(circle_pentagon_overlap(p,cp,r),y_correct))\r\n\r\n%%\r\np = [0,5; 4.76,1.55; 2.94,-4.05; -2.94,-4.05; -4.76,1.55];\r\ncp = [7.5,0];\r\nr = 5;\r\ny_correct = 1;\r\nassert(isequal(circle_pentagon_overlap(p,cp,r),y_correct))\r\n\r\n%%\r\np = [0,5; 4.76,1.55; 2.94,-4.05; -2.94,-4.05; -4.76,1.55];\r\ncp = [0,-5];\r\nr = 9;\r\ny_correct = 4;\r\nassert(isequal(circle_pentagon_overlap(p,cp,r),y_correct))\r\n\r\n%%\r\np = [23.66,11.42; 24.37,5.58; 19.05,3.10; 15.04,7.40; 17.89,12.54];\r\ncp = [20,8];\r\nr = 5;\r\ny_correct = 5;\r\nassert(isequal(circle_pentagon_overlap(p,cp,r),y_correct))\r\n\r\n%%\r\np = [23.66,11.42; 24.37,5.58; 19.05,3.10; 15.04,7.40; 17.89,12.54];\r\ncp = [19,8];\r\nr = 5;\r\ny_correct = 3;\r\nassert(isequal(circle_pentagon_overlap(p,cp,r),y_correct))\r\n\r\n%%\r\np = [23.66,11.42; 24.37,5.58; 19.05,3.10; 15.04,7.40; 17.89,12.54];\r\ncp = [19.5,10];\r\nr = 5;\r\ny_correct = 2;\r\nassert(isequal(circle_pentagon_overlap(p,cp,r),y_correct))\r\n\r\n%%\r\np = [23.66,11.42; 24.37,5.58; 19.05,3.10; 15.04,7.40; 17.89,12.54];\r\ncp = [19.5,10];\r\nr = 6.6;\r\ny_correct = 4;\r\nassert(isequal(circle_pentagon_overlap(p,cp,r),y_correct))\r\n\r\n%%\r\np = [23.66,11.42; 24.37,5.58; 19.05,3.10; 15.04,7.40; 17.89,12.54];\r\ncp = [19.5,10];\r\nr = 7;\r\ny_correct = 5;\r\nassert(isequal(circle_pentagon_overlap(p,cp,r),y_correct))\r\n\r\n%%\r\np = [30.94,36.26; 35.61,27.09; 28.34,19.82; 19.17,24.49; 20.78,34.65];\r\ncp = [26.97,28.45];\r\nr = 8.75;\r\ny_correct = 5;\r\nassert(isequal(circle_pentagon_overlap(p,cp,r),y_correct))\r\n\r\n%%\r\np = [30.94,36.26; 35.61,27.09; 28.34,19.82; 19.17,24.49; 20.78,34.65];\r\ncp = [26.97,28.45];\r\nr = 8;\r\ny_correct = 0;\r\nassert(isequal(circle_pentagon_overlap(p,cp,r),y_correct))","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":26769,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":328,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":34,"created_at":"2017-10-10T18:44:43.000Z","updated_at":"2026-04-07T14:02:38.000Z","published_at":"2017-10-16T01:45:09.000Z","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\u003eYour function will be provided with the five vertices of a pentagon (p) as well as the center point (cp) and radius (r) of a circle. The function should return the number of pentagon vertices that lie within or on the circle. The tolerance for lying on the circle is 0.02.\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":45349,"title":"Area-07","description":"This is a follow up of the problem \r\n\r\n\u003chttps://www.mathworks.com/matlabcentral/cody/problems/45341-area-06\u003e\r\n\r\nin this case, find the total area of the lobes i.e. the area confined by the arcs drawn.","description_html":"\u003cp\u003eThis is a follow up of the problem\u003c/p\u003e\u003cp\u003e\u003ca href = \"https://www.mathworks.com/matlabcentral/cody/problems/45341-area-06\"\u003ehttps://www.mathworks.com/matlabcentral/cody/problems/45341-area-06\u003c/a\u003e\u003c/p\u003e\u003cp\u003ein this case, find the total area of the lobes i.e. the area confined by the arcs drawn.\u003c/p\u003e","function_template":"function c= quarter_circle_02(r)\r\n y = x;\r\nend","test_suite":"%%\r\nr = 25;\r\nassert(abs(quarter_circle_02(r)-516.5287)\u003c0.001)\r\n%%\r\nr = 55.67;\r\nassert(abs(quarter_circle_02(r)-2561.2789)\u003c0.001)\r\n%%\r\nr = 42;\r\nassert(abs(quarter_circle_02(r)-1457.8505)\u003c0.001)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":4,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":18,"test_suite_updated_at":"2020-02-21T08:43:29.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-02-21T08:40:42.000Z","updated_at":"2026-03-11T09:28:14.000Z","published_at":"2020-02-21T08:43:29.000Z","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\u003eThis is a follow up of the problem\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:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/45341-area-06\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026lt;https://www.mathworks.com/matlabcentral/cody/problems/45341-area-06\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ein this case, find the total area of the lobes i.e. the area confined by the arcs drawn.\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":554,"title":"Is the Point in a Circle?","description":"Check whether a point or multiple points is/are in a circle centered at point (x0, y0) with radius r. \r\n\r\n Points = [x, y]; \r\n circle = (x0, y0, r)\r\n\r\nReturn true or false for each point tested","description_html":"\u003cp\u003eCheck whether a point or multiple points is/are in a circle centered at point (x0, y0) with radius r.\u003c/p\u003e\u003cpre\u003e Points = [x, y]; \r\n circle = (x0, y0, r)\u003c/pre\u003e\u003cp\u003eReturn true or false for each point tested\u003c/p\u003e","function_template":"function y = your_fcn_name(Points, circle)\r\n y = true;\r\nend","test_suite":"%%\r\ncircle = [0, 0, 1]; Points = [0, 0.5]\r\ny_correct = 1;\r\nassert(isequal(your_fcn_name(Points,circle),y_correct))\r\n\r\n%%\r\ncircle = [0, 0, 1]; Points = [0, 2]\r\ny_correct = 0;\r\nassert(isequal(your_fcn_name(Points,circle),y_correct))\r\n\r\n%%\r\ncircle = [1, 1, 1]; Points = [0, 1; 0, 0]\r\ny_correct = [1; 0];\r\nassert(isequal(your_fcn_name(Points,circle),y_correct))","published":true,"deleted":false,"likes_count":5,"comments_count":8,"created_by":2906,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":631,"test_suite_updated_at":"2012-04-03T14:19:00.000Z","rescore_all_solutions":false,"group_id":17,"created_at":"2012-04-03T08:03:10.000Z","updated_at":"2026-03-13T05:02:27.000Z","published_at":"2012-04-03T08:03:10.000Z","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\u003eCheck whether a point or multiple points is/are in a circle centered at point (x0, y0) with radius r.\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[ Points = [x, y]; \\n circle = (x0, y0, r)]]\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\u003eReturn true or false for each point tested\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":58239,"title":"Find circular arc length, sector area and segment area","description":"Given a circular arc passing through the points P = [ x1 y1 ] and Q = [ x2 y2 ] such that the center angle of the arc (in degrees) is theta, please return \r\nthe arc length L, \r\nthe area Asec of the circular sector defined by the arc, and\r\nthe area Aseg of the circular segment defined by the arc and the straight line connecting its end points P and Q.\r\nRelated: \r\nproblem 44910\r\nproblem 52589","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: 208.188px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 104.094px; transform-origin: 407px 104.094px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; 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 21px; text-align: left; transform-origin: 384px 21px; 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=\"\"\u003eGiven a circular arc passing through the points \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-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eP = [ x1 y1 ]\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=\"\"\u003e and \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-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eQ = [ x2 y2 ]\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=\"\"\u003e such that the center angle of the arc (in degrees) is \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-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003etheta\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=\"\"\u003e, please return \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003col style=\"block-size: 64.3125px; 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 32.1562px; transform-origin: 391px 32.1562px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 21.4375px; 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 10.7188px; text-align: left; transform-origin: 363px 10.7188px; 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=\"\"\u003ethe arc length \u003c/span\u003e\u003c/span\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=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eL,\u003c/span\u003e\u003c/span\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=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 21.4375px; 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 10.7188px; text-align: left; transform-origin: 363px 10.7188px; 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=\"\"\u003ethe area \u003c/span\u003e\u003c/span\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=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eAsec\u003c/span\u003e\u003c/span\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=\"\"\u003e of the circular sector defined by the arc, and\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 21.4375px; 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 10.7188px; text-align: left; transform-origin: 363px 10.7188px; 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=\"\"\u003ethe area \u003c/span\u003e\u003c/span\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=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eAseg\u003c/span\u003e\u003c/span\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=\"\"\u003e of the circular segment defined by the arc and the straight line connecting its end points \u003c/span\u003e\u003c/span\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=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eP\u003c/span\u003e\u003c/span\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=\"\"\u003e and \u003c/span\u003e\u003c/span\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=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eQ\u003c/span\u003e\u003c/span\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=\"\"\u003e.\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=\"\"\u003eRelated: \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 40.875px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 20.4375px; transform-origin: 391px 20.4375px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"background-position: 0px 50%; 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 10.2188px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/44910\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eproblem 44910\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/li\u003e\u003cli style=\"background-position: 0px 50%; 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 10.2188px; text-align: left; transform-origin: 363px 10.2188px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/52589-circular-segment-area\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eproblem 52589\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/li\u003e\u003c/ul\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [L, Asec, Aseg] = arcLengthAndAreas(P, Q, theta)\r\n\r\nend","test_suite":"%%\r\n[L, Asec, Aseg] = arcLengthAndAreas([1 0], [0 1], 90);\r\nassert(isequal(round([L Asec Aseg], 4), [1.5708 0.7854 0.2854]))\r\n\r\n%%\r\n[L, Asec, Aseg] = arcLengthAndAreas([2 1], [3 5], 60);\r\nassert(isequal(round([L Asec Aseg], 4), [4.3177 8.9012 1.5400]))\r\n\r\n%%\r\n[L, Asec, Aseg] = arcLengthAndAreas([-1.8 2.7], [0.3 0.3], 32);\r\nassert(isequal(round([L Asec Aseg], 4), [3.2309 9.3451 0.4783]))\r\n\r\n%%\r\n[L, Asec, Aseg] = arcLengthAndAreas([355/113 22/7], [333/106 -103993/33012], 3);\r\nassert(isequal(round([L Asec Aseg], 4), [6.2937 378.258 0.1728]))\r\n\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":332395,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":10,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-05-01T10:12:09.000Z","updated_at":"2023-05-01T10:12:09.000Z","published_at":"2023-05-01T10:12:09.000Z","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 a circular arc passing through the points \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eP = [ x1 y1 ]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eQ = [ x2 y2 ]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003e such that the center angle of the arc (in degrees) is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003etheta\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003e, please return \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:rPr/\u003e\u003cw:t\u003ethe arc length \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eL,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw: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=\\\"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:rPr/\u003e\u003cw:t\u003ethe area \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eAsec\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003e of the circular sector defined by the arc, and\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:rPr/\u003e\u003cw:t\u003ethe area \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eAseg\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003e of the circular segment defined by the arc and the straight line connecting its end points \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eP\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw: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:t\u003eRelated: \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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/44910\\\"\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003eproblem 44910\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/52589-circular-segment-area\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eproblem 52589\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":54020,"title":"Circle Division","description":"A circle can be divided into 2 sections, by placing 2 points in arbitrary locations along its circumference and drawing a straight line between them. By adding more points and drawing a straight line from each point to every other point, the circle can be divided into more sections. For example, 3 points would divide the circle into 4 sections and 4 points into 8 sections.\r\nGiven a positive integer, n, representing the number of arbitrarily placed points on the circumference of a circle, return d, i and s, the number of straight lines, the number of intersections and the number of sections into which the circle is divided, respectively.\r\nThe only restriction on the positions of the points is that they must be placed such that no 3 lines can share a single intersection.\r\nn will always be greater than 3.\r\nExample:\r\nn = 4;\r\nd = 6\r\ni = 1\r\ns = 8\r\nExample:\r\nn = 5;\r\nd = 10\r\ni = 5\r\ns = 16","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: 460.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 230.25px; transform-origin: 407px 230.25px; 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: 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=\"\"\u003eA circle can be divided into 2 sections, by placing 2 points in arbitrary locations along its circumference and drawing a straight line between them. By adding more points and drawing a straight line from each point to every other point, the circle can be divided into more sections. For example, 3 points would divide the circle into 4 sections and 4 points into 8 sections.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eGiven a positive integer, n, representing the number of arbitrarily placed points on the circumference of a circle, return d, i and s, the number of straight lines, the number of intersections and the number of sections into which the circle is divided, respectively.\u003c/span\u003e\u003c/span\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: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; 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=\"\"\u003eThe only restriction on the positions of the points is that they must be placed such that no 3 lines can share a single intersection.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003en will always be greater than 3.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eExample:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 81.75px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 40.875px; transform-origin: 404px 40.875px; 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: 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 10.2188px; transform-origin: 404px 10.2188px; 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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003en = 4;\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: 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 10.2188px; transform-origin: 404px 10.2188px; 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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ed = 6\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: 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 10.2188px; transform-origin: 404px 10.2188px; 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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ei = 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: 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 10.2188px; transform-origin: 404px 10.2188px; 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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003es = 8\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eExample:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 81.75px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 40.875px; transform-origin: 404px 40.875px; 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: 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 10.2188px; transform-origin: 404px 10.2188px; 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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003en = 5;\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: 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 10.2188px; transform-origin: 404px 10.2188px; 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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ed = 10\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: 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 10.2188px; transform-origin: 404px 10.2188px; 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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ei = 5\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: 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 10.2188px; transform-origin: 404px 10.2188px; 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: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003es = 16\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [d,i,s] = your_fcn_name(n)\r\n d = 1;\r\n i = 1;\r\n s = 1;\r\nend","test_suite":"%%\r\nfiletext = fileread('your_fcn_name.m');\r\nassert(isempty(strfind(filetext,'eval')))\r\nassert(isempty(strfind(filetext,'echo')))\r\nassert(isempty(strfind(filetext,'switch')))\r\nassert(isempty(strfind(filetext,'regexp')))\r\n\r\n%%\r\n[d,i,s] = your_fcn_name(4);\r\nassert(isequal([d i s],[6 1 8]))\r\n\r\n%%\r\n[d,i,s] = your_fcn_name(5);\r\nassert(isequal([d i s],[10 5 16]))\r\n\r\n%%\r\n[d,i,s] = your_fcn_name(7);\r\nassert(isequal([d i s],[21 35 57]))\r\n\r\n%%\r\n[d,i,s] = your_fcn_name(13);\r\nassert(isequal([d i s],[78 715 794]))\r\n\r\n%%\r\n[d,i,s] = your_fcn_name(53);\r\nassert(isequal([d i s],[1378 292825 294204]))\r\n\r\n%%\r\n[d,i,s] = your_fcn_name(100);\r\nassert(isequal([d i s],[4950 3921225 3926176]))","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":15521,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":8,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-02-18T20:04:46.000Z","updated_at":"2025-12-02T20:17:27.000Z","published_at":"2022-02-18T20:04:46.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA circle can be divided into 2 sections, by placing 2 points in arbitrary locations along its circumference and drawing a straight line between them. By adding more points and drawing a straight line from each point to every other point, the circle can be divided into more sections. For example, 3 points would divide the circle into 4 sections and 4 points into 8 sections.\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 a positive integer, n, representing the number of arbitrarily placed points on the circumference of a circle, return d, i and s, the number of straight lines, the number of intersections and the number of sections into which the circle is divided, respectively.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe only restriction on the positions of the points is that they must be placed such that no 3 lines can share a single intersection.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003en will always be greater than 3.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\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[n = 4;\\nd = 6\\ni = 1\\ns = 8]]\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\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[n = 5;\\nd = 10\\ni = 5\\ns = 16]]\u003e\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":45476,"title":"Inscribed circle in a triangle","description":"A circle of radius r is inscribed in a triangle. \r\n\r\nIn the figure, Ac=x and Bc=y. \r\nvalues of x \u0026 y are given.\r\n\r\nFind the area of the triangle.\r\n\r\n\u003chttps://www.analyzemath.com/Geometry_calculators/inscribed.gif\u003e\r\n\r\n\r\n \r\n","description_html":"\u003cp\u003eA circle of radius r is inscribed in a triangle.\u003c/p\u003e\u003cp\u003eIn the figure, Ac=x and Bc=y. \r\nvalues of x \u0026 y are given.\u003c/p\u003e\u003cp\u003eFind the area of the triangle.\u003c/p\u003e\u003cp\u003e\u003ca href = \"https://www.analyzemath.com/Geometry_calculators/inscribed.gif\"\u003ehttps://www.analyzemath.com/Geometry_calculators/inscribed.gif\u003c/a\u003e\u003c/p\u003e","function_template":"function y = ins_cir_tri(x,y,r)","test_suite":"%%\r\nassert(isequal(ins_cir_tri(20,30,10),600))\r\n\r\n%%\r\nassert(isequal(ins_cir_tri(15,10,5),150))\r\n\r\n%%\r\nassert(abs(ins_cir_tri(25,10,5)-194.4444)\u003c0.001)\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":4,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":14,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-04-24T17:06:12.000Z","updated_at":"2020-05-11T00:46:34.000Z","published_at":"2020-04-24T17:06:12.000Z","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\u003eA circle of radius r is inscribed in a triangle.\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\u003eIn the figure, Ac=x and Bc=y. values of x \u0026amp; y are 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\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind the area of the triangle.\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:hyperlink w:docLocation=\\\"https://www.analyzemath.com/Geometry_calculators/inscribed.gif\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026lt;https://www.analyzemath.com/Geometry_calculators/inscribed.gif\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\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":61091,"title":"Slicing a 4-pointed star polygon","description":"Given the area, A, of a 4-pointed star polygon formed by the rectangle, with dimensions L×2L, and four triangles, with height h from their bases to the vertices, consider the area, A_r, of the circle that covers the shorter of the two distances between opposite vertices (cf. left figure below) and slice the star polygon by 8 slices (cf. right figure below). \r\nGiven (A,h), find the 9×2 matrix, M = [A1 a1; A2 a2; ...; A8 a8; A_r/π n], where\r\nin the first row (i=1), A1 stands for the area of one 'blue' slice of the 4-pointed star polygon (cf. right figure), and a1 stands for the logical 1 if A1 does not exceed the circle's area, A_r, or a1 stands for the logical 0 otherwise;\r\nin the second row (i=2), A2 stands for the area of two slices (cumulative sum of 'blue' and 'green' slices by consecutive vertices), and a2 has the same previous false-true meaning relative to the areas A2 and A_r;\r\nand so on, until last slice of the 4-pointed star polygon;\r\nin the last row (i=9), A_r is the area of the circle, and n stands for the maximum number of slices that their cumulative area does not exceed the circle area.\r\nHint: The slices of the 4-pointed star polygon are not congruent among each other.\r\ninput: (A, h)\r\noutput: M = [A1 a1; A2 a2; ...; A8 a8; A_r/pi n]\r\n","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: 840.862px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 408px 420.425px; transform-origin: 408px 420.431px; 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; padding-inline-start: 0px; padding-left: 0px; 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; \"\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 area, \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, of a 4-pointed star polygon formed by the rectangle, with dimensions \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eL\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e×\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e2L\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and four triangles, with height \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eh\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e from their bases to the vertices, consider the area, \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA_r, \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eof the circle that covers the shorter of the two distances between opposite vertices (cf. left figure below) and slice the star polygon by 8 slices (cf. right figure below). \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: 384px 10.5px; text-align: left; transform-origin: 384px 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=\"\"\u003eGiven \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(A,h)\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, find 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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e9\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e×\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e2\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e matrix, \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eM = [A1 a1; A2 a2; ...; A8 a8; A_r/π n]\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, where\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 143.062px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 391px 71.525px; transform-origin: 391px 71.5312px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 40.875px; 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 20.4375px; text-align: left; transform-origin: 363px 20.4375px; 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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ein the first row \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(i=1)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the area of one 'blue' slice of the 4-pointed star polygon (cf. right figure), and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ea1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the logical \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e does not exceed the circle's area, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA_r,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e or \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ea1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the logical \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e0\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e otherwise;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 40.875px; 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 20.4375px; text-align: left; transform-origin: 363px 20.4375px; 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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ein the second row \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(i=2)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the area of two slices (cumulative sum of 'blue' and 'green' slices by consecutive vertices), and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ea2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e has the same previous false-true meaning relative to the areas \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA_r\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\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-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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand so on, until last slice of the 4-pointed star polygon;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 40.875px; 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 20.4375px; text-align: left; transform-origin: 363px 20.4375px; 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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ein the last row \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(i=9)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA_r\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the area of the circle, and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the maximum number of slices that their cumulative area does not exceed the circle area.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\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: 384px 10.5px; text-align: left; transform-origin: 384px 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=\"\"\u003eHint: The slices of the 4-pointed star polygon are not congruent among each other.\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: 384px 10.5px; text-align: left; transform-origin: 384px 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-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003einput:\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(A, h)\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: 384px 10.5px; text-align: left; transform-origin: 384px 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-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eoutput:\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eM = [A1 a1; A2 a2; ...; A8 a8; A_r/pi n]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 484.8px; 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: 384px 242.4px; text-align: left; transform-origin: 384px 242.4px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cimg class=\"imageNode\" width=\"601\" height=\"479\" style=\"vertical-align: baseline;width: 601px;height: 479px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function M = slicing_star(A,h)\r\n M = x;\r\nend","test_suite":"%%\r\nA = 27;\r\nh = 1;\r\nM_correct = [3 1; 6.75 1; 10.5 1; 13.5 1; 16.5 1; 20.25 0; 24 0; 27 0; 6.25 5];\r\nassert(isequal(slicing_star(A,h),M_correct))\r\n\r\n%%\r\nA = 36;\r\nh = 2;\r\nM_correct = [3.75 1; 9 1; 14.25 1; 18 1; 21.75 1; 27 1; 32.25 1; 36 1; 12.25 8];\r\nassert(isequal(slicing_star(A,h),M_correct))\r\n\r\n%%\r\nfiletext = fileread('slicing_star.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || ...\r\n contains(filetext, 'str2num'); \r\nassert(~illegal)\r\n\r\n%%\r\nA = 68;\r\nh = 1.2;\r\nM_correct = [7.75 1; 17 1; 26.25 1; 34 1; 41.75 1; 51 0; 60.25 0; 68 0; 13.69 5];\r\nassert(all(isapprox(slicing_star(A,h),M_correct), 'all'))\r\n\r\n%%\r\nA = 89;\r\nh = 2.6;\r\nM_correct = [9.5 1; 22.25 1; 35 1; 44.5 1; 54 1; 66.75 1; 79.5 1; 89 0; 26.01 7];\r\nassert(all(isapprox(slicing_star(A,h),M_correct), 'all'))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":4993982,"edited_by":4993982,"edited_at":"2025-12-08T13:42:41.000Z","deleted_by":null,"deleted_at":null,"solvers_count":7,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-12-03T13:58:16.000Z","updated_at":"2025-12-19T15:03:36.000Z","published_at":"2025-12-08T13:42:41.000Z","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 area, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, of a 4-pointed star polygon formed by the rectangle, with dimensions \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eL\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2L\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, and four triangles, with height \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e from their bases to the vertices, consider the area, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA_r, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eof the circle that covers the shorter of the two distances between opposite vertices (cf. left figure below) and slice the star polygon by 8 slices (cf. right figure below). \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 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(A,h)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, find the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e9\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e matrix, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eM = [A1 a1; A2 a2; ...; A8 a8; A_r/π n]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, where\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ein the first row \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(i=1)\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the area of one 'blue' slice of the 4-pointed star polygon (cf. right figure), and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the logical \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e does not exceed the circle's area, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA_r,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e or \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the logical \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e0\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e otherwise;\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ein the second row \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(i=2)\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the area of two slices (cumulative sum of 'blue' and 'green' slices by consecutive vertices), and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e has the same previous false-true meaning relative to the areas \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA_r\u003c/w:t\u003e\u003c/w:r\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=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eand so on, until last slice of the 4-pointed star polygon;\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ein the last row \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(i=9)\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA_r\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the area of the circle, and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the maximum number of slices that their cumulative area does not exceed the circle area.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHint: The slices of the 4-pointed star polygon are not congruent among each other.\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:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003einput:\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(A, h)\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:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eoutput:\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eM = [A1 a1; A2 a2; ...; A8 a8; A_r/pi n]\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=\\\"479\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"601\\\"/\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\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":45353,"title":"Kissing Circles-01","description":"Three circles are mutually tangent to each other and also to a line.\r\n\r\nfind the radius of the smallest circle. The radius of the other two is given.\r\n\r\n\u003chttps://serving.photos.photobox.com/00891841e6d4d70de3c348ebc93da085dcd5f697751ccee39f1f6f7aae93fde98bbe603e.jpg\u003e","description_html":"\u003cp\u003eThree circles are mutually tangent to each other and also to a line.\u003c/p\u003e\u003cp\u003efind the radius of the smallest circle. The radius of the other two is given.\u003c/p\u003e\u003cp\u003e\u003ca href = \"https://serving.photos.photobox.com/00891841e6d4d70de3c348ebc93da085dcd5f697751ccee39f1f6f7aae93fde98bbe603e.jpg\"\u003ehttps://serving.photos.photobox.com/00891841e6d4d70de3c348ebc93da085dcd5f697751ccee39f1f6f7aae93fde98bbe603e.jpg\u003c/a\u003e\u003c/p\u003e","function_template":"function a = kissing_circles_01(x,y)\r\n y = x;\r\nend","test_suite":"%%\r\nassert(abs(kissing_circles_01(5,5)-1.25)\u003c0.001)\r\n%%\r\nassert(abs(kissing_circles_01(5,2.5)-0.8578)\u003c0.001)\r\n%%\r\nassert(abs(kissing_circles_01(10,6)-1.9052)\u003c0.001)\r\n%%\r\nassert(abs(kissing_circles_01(8,23)-3.1653)\u003c0.001)\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":17,"test_suite_updated_at":"2020-02-22T17:41:42.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-02-22T17:23:38.000Z","updated_at":"2026-03-16T11:41:00.000Z","published_at":"2020-02-22T17:41:42.000Z","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\",\"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\u003eThree circles are mutually tangent to each other and also to a line.\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\u003efind the radius of the smallest circle. The radius of the other two is 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\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://serving.photos.photobox.com/00891841e6d4d70de3c348ebc93da085dcd5f697751ccee39f1f6f7aae93fde98bbe603e.jpg\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026lt;https://serving.photos.photobox.com/00891841e6d4d70de3c348ebc93da085dcd5f697751ccee39f1f6f7aae93fde98bbe603e.jpg\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\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":44368,"title":"Inscribed Pentagon?","description":"Your function will be provided with the five vertices of a pentagon (p) as well as the center point (cp) and radius (r) of a circle. The pentagon will be centered about the circle. The function should return one of the following values:\r\n\r\n 0: the pentagon is completely enclosed within the circle but is not inscribed\r\n 1: the pentagon is inscribed in the circle (within ±0.02)\r\n 2: the vertices of the pentagon extend beyond the circle\r\n\r\nPoints will be rounded to the nearest hundredth. See the test cases for examples.","description_html":"\u003cp\u003eYour function will be provided with the five vertices of a pentagon (p) as well as the center point (cp) and radius (r) of a circle. The pentagon will be centered about the circle. The function should return one of the following values:\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003e0: the pentagon is completely enclosed within the circle but is not inscribed\r\n1: the pentagon is inscribed in the circle (within ±0.02)\r\n2: the vertices of the pentagon extend beyond the circle\r\n\u003c/pre\u003e\u003cp\u003ePoints will be rounded to the nearest hundredth. See the test cases for examples.\u003c/p\u003e","function_template":"function y = inscribed_pentagon(p,cp,r)\r\n y = 0;\r\nend","test_suite":"%%\r\np = [0,5; 4.76,1.55; 2.94,-4.05; -2.94,-4.05; -4.76,1.55];\r\ncp = [0,0];\r\nr = 5;\r\ny_correct = 1;\r\nassert(isequal(inscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [0,6.58; 6.42,1.92; 3.97,-5.63; -3.97,-5.63; -6.42,1.92];\r\ncp = [0,0];\r\nr = 5;\r\ny_correct = 2;\r\nassert(isequal(inscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [0,4.55; 4.28,1.44; 2.65,-3.59; -2.65,-3.59; -4.28,1.44];\r\ncp = [0,0];\r\nr = 5;\r\ny_correct = 0;\r\nassert(isequal(inscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\ncp = [20,8];\r\np = [0,5; 4.76,1.55; 2.94,-4.05; -2.94,-4.05; -4.76,1.55] + repmat(cp,[5,1]);\r\nr = 5;\r\ny_correct = 1;\r\nassert(isequal(inscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\ncp = [20,8];\r\np = [0,6.58; 6.42,1.92; 3.97,-5.63; -3.97,-5.63; -6.42,1.92] + repmat(cp,[5,1]);\r\nr = 5;\r\ny_correct = 2;\r\nassert(isequal(inscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\ncp = [20,8];\r\np = [0,4.55; 4.28,1.44; 2.65,-3.59; -2.65,-3.59; -4.28,1.44] + repmat(cp,[5,1]);\r\nr = 5;\r\ny_correct = 0;\r\nassert(isequal(inscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [23.66,11.42; 24.37,5.58; 19.05,3.10; 15.04,7.40; 17.89,12.54];\r\ncp = [20,8];\r\nr = 5;\r\ny_correct = 1;\r\nassert(isequal(inscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [25.01,12.47; 25.98,4.58; 18.78,1.23; 13.37,7.03; 17.22,13.97];\r\ncp = [20,8];\r\nr = 5;\r\ny_correct = 2;\r\nassert(isequal(inscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [23.27,11.12; 23.92,5.87; 19.12,3.63; 15.52,7.50; 18.08,12.13];\r\ncp = [20,8];\r\nr = 5;\r\ny_correct = 0;\r\nassert(isequal(inscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [30.94,36.26; 35.61,27.09; 28.34,19.82; 19.17,24.49; 20.78,34.65];\r\ncp = [26.97,28.45];\r\nr = 8.75;\r\ny_correct = 1;\r\nassert(isequal(inscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [32.54,38.78; 38.84,26.41; 29.02,16.59; 16.65,22.89; 18.83,36.61];\r\ncp = [26.97,28.45];\r\nr = 8.75;\r\ny_correct = 2;\r\nassert(isequal(inscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [30.49,35.54; 34.69,27.29; 28.14,20.74; 19.89,24.95; 21.34,34.09];\r\ncp = [26.97,28.45];\r\nr = 8.75;\r\ny_correct = 0;\r\nassert(isequal(inscribed_pentagon(p,cp,r),y_correct))","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":26769,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":307,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":34,"created_at":"2017-10-10T16:31:01.000Z","updated_at":"2026-04-07T14:00:57.000Z","published_at":"2017-10-16T01:45:09.000Z","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\u003eYour function will be provided with the five vertices of a pentagon (p) as well as the center point (cp) and radius (r) of a circle. The pentagon will be centered about the circle. The function should return one of the following values:\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[0: the pentagon is completely enclosed within the circle but is not inscribed\\n1: the pentagon is inscribed in the circle (within ±0.02)\\n2: the vertices of the pentagon extend beyond the circle]]\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\u003ePoints will be rounded to the nearest hundredth. See the test cases for examples.\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":44881,"title":"CowBoy","description":"A group of cowboys standing in circle form. They have one gun. The first cowboy shoot the cowboy beside him (second one) and give the gun to the following cowboy (third one). This cowboy will do the same. This will happen until just one cowboy is the remaining one. Write a function that you will decide the number of cowboys and the solution is the order (index) of the cowboy.","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: 84px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 42px; transform-origin: 407px 42px; 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: 384px 42px; text-align: left; transform-origin: 384px 42px; 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: 376.5px 8px; transform-origin: 376.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA group of cowboys standing in circle form. They have one gun. The first cowboy shoot the cowboy beside him (second one) and give the gun to the following cowboy (third one). This cowboy will do the same. This will happen until just one cowboy is the remaining one. Write a function that you will decide the number of cowboys and the solution is the order (index) of the cowboy.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function a = cowboy(n)\r\n a = n;\r\nend","test_suite":"%%\r\nx = 100;\r\ny_correct = 73;\r\nassert(isequal(cowboy(x),y_correct))\r\n%%\r\nx = 1000;\r\ny_correct = 977;\r\nassert(isequal(cowboy(x),y_correct))\r\n%%\r\nx = 33;\r\ny_correct = 3;\r\nassert(isequal(cowboy(x),y_correct))\r\n%%\r\nx = 555;\r\ny_correct = 87;\r\nassert(isequal(cowboy(x),y_correct))\r\n%%\r\nx = 2;\r\ny_correct = 1;\r\nassert(isequal(cowboy(x),y_correct))\r\n%%\r\nx = randi(20);\r\ny_correct = 1;\r\nassert(isequal(cowboy(2^x),y_correct))\r\n%%\r\nx = randi(20);\r\ny_correct = 2+1;\r\nx = 2^x+1;\r\nassert(isequal(cowboy(x),y_correct))","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":193666,"edited_by":223089,"edited_at":"2023-04-03T08:37:08.000Z","deleted_by":null,"deleted_at":null,"solvers_count":18,"test_suite_updated_at":"2023-04-03T08:37:08.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2019-04-09T04:35:08.000Z","updated_at":"2026-02-21T13:06:06.000Z","published_at":"2019-04-09T04:35:08.000Z","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\u003eA group of cowboys standing in circle form. They have one gun. The first cowboy shoot the cowboy beside him (second one) and give the gun to the following cowboy (third one). This cowboy will do the same. This will happen until just one cowboy is the remaining one. Write a function that you will decide the number of cowboys and the solution is the order (index) of the cowboy.\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":45338,"title":"Area-04","description":"The dimension of a rectangle is given. There are two circles of equal size that are inscribed inside it.The circles are tangent to each other and to the rectangle(on the length side).\r\nFind the area of of the red shaded portion.\r\n\u003chttps://serving.photos.photobox.com/46611233ca4107f77b28dc24a18635bf81510e7898924545ca289695e8891e7b898a2ae5.jpg\u003e\r\nNb. I believe its more fun \u0026 ethical to try and figure out the answer by urself instead of just loooking for the ratio on the test suites.","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: 174px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 87px; transform-origin: 407px 87px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; 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 21px; text-align: left; transform-origin: 384px 21px; 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: 363.5px 8px; transform-origin: 363.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe dimension of a rectangle is given. There are two circles of equal size that are inscribed inside it.The circles are tangent to each other and to the rectangle(on the length side).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 134.5px 8px; transform-origin: 134.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFind the area of of the red shaded portion.\u003c/span\u003e\u003c/span\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: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://serving.photos.photobox.com/46611233ca4107f77b28dc24a18635bf81510e7898924545ca289695e8891e7b898a2ae5.jpg\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003e\u0026lt;https://serving.photos.photobox.com/46611233ca4107f77b28dc24a18635bf81510e7898924545ca289695e8891e7b898a2ae5.jpg\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: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u0026gt;\u003c/span\u003e\u003c/span\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: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; 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: 373px 8px; transform-origin: 373px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eNb. I believe its more fun \u0026amp; ethical to try and figure out the answer by urself instead of just loooking for the ratio on the test suites.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function out=inscribed_circle_4(a,b)\r\n y = x;\r\nend","test_suite":"%%\r\na=20;\r\nb=10;\r\ny_correct = 21.4602;\r\nassert(abs(inscribed_circle_4(a,b)-y_correct)\u003c0.001)\r\n\r\n%%\r\na=5;\r\nb=2;\r\ny_correct = 1.8584;\r\nassert(abs(inscribed_circle_4(a,b)-y_correct)\u003c0.001)\r\n\r\n%%\r\na=5;\r\nb=3;\r\ny_correct = [];\r\nassert(isempty(inscribed_circle_4(a,b)))\r\n\r\n%%\r\na=54*pi;\r\nb=49*pi;\r\ny_correct = [];\r\nassert(isempty(inscribed_circle_4(a,b)))\r\n\r\n%%\r\na=23.5;\r\nb=2.6;\r\ny_correct = 25.2407;\r\nassert(abs(inscribed_circle_4(a,b)-y_correct)\u003c0.001)\r\n\r\n%%\r\na=1;\r\nb=3;\r\ny_correct = [];\r\nassert(isempty(inscribed_circle_4(a,b)))\r\n\r\n%%\r\na=3;\r\nb=1;\r\ny_correct = 0.7146;\r\nassert(abs(inscribed_circle_4(a,b)-y_correct)\u003c0.001)","published":true,"deleted":false,"likes_count":1,"comments_count":4,"created_by":363598,"edited_by":223089,"edited_at":"2023-01-14T09:29:07.000Z","deleted_by":null,"deleted_at":null,"solvers_count":17,"test_suite_updated_at":"2023-01-14T09:29:07.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-02-17T07:15:57.000Z","updated_at":"2026-03-13T11:48:16.000Z","published_at":"2020-02-17T07:16:43.000Z","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\u003eThe dimension of a rectangle is given. There are two circles of equal size that are inscribed inside it.The circles are tangent to each other and to the rectangle(on the length side).\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\u003eFind the area of of the red shaded portion.\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:hyperlink w:docLocation=\\\"https://serving.photos.photobox.com/46611233ca4107f77b28dc24a18635bf81510e7898924545ca289695e8891e7b898a2ae5.jpg\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026lt;https://serving.photos.photobox.com/46611233ca4107f77b28dc24a18635bf81510e7898924545ca289695e8891e7b898a2ae5.jpg\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eNb. I believe its more fun \u0026amp; ethical to try and figure out the answer by urself instead of just loooking for the ratio on the test suites.\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":45396,"title":"Design a tubesheet for shell-and-tube heat exchangers","description":"\u003c\u003chttps://3.bp.blogspot.com/-kLSbhcCoT2I/WJIh-QVGLGI/AAAAAAAADEs/svvMzBqn4fUfI1rTCCH7Uw-QuDvxx0PxACLcB/s1600/Screenshot_669.jpg\u003e\u003e\r\n\r\nA tubesheet is a metal plate used to hold multiple tubes in place in a shell-and-tube heat exchanger. In any industrial plant, heat exchangers are used to transfer heat from one stream to another, such as for cooling or heating.\r\n\r\nIn this problem, you are given the diameter D of a metal plate which is a perfect circle. We need to punch holes in this plate where the tubes can fit in. This is done by placing the plate on a 2-D coordinate system where the center of the circle lies in the origin. As seen in the figure below, the coordinate system can be imagined as being made of square cells. _A hole can be punched in a square cell if and only if it lies completely inside the circular metal plate_. Can you help count the number of holes we can punch, given the plate's diameter?\r\n\r\nAccess the figure here: \u003chttps://drive.google.com/open?id=16fQsnGyJz-PQLF9Hw7koIKKscPu6whFM\u003e\r\n\r\nWrite a function that accepts a floating-point value, D. Output the maximum number of holes that can be punched on a plate of diameter D. You are ensured that 1 \u003c= D \u003c= 50.\r\n\r\nIn the examples above, we can see that we can punch 16 holes when D = 6, and 60 holes when D = 10.","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: 1096.51px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 548.25px; transform-origin: 407px 548.256px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 516.713px; 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 258.35px; text-align: center; transform-origin: 384px 258.356px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" src=\"data:image/JPEG;base64,/9j/4AAQSkZJRgABAgAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAMGBIsDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwDoyMioJAKtlRg1C6Z+nvXGbFYjINNKkEGpWQgcUymAhXK81UslCrMoHAmf+ef61d5IqpafeuR6Tt/SgCxjmpo/1qLFSxnFIZYU08CmKc08UAJ1+lAFBH0oxxQG4hWmFST049akPSmk8UICu4/KoiuOtTvk/So2xxTERbaegwaUVIqd6QAFzShaeBUgXihgQ7KNtTbc0u3NCV3ZB5sqmPOfSuf1zxg0jWlpZsPKtmQM4/5aENn8qr+INclv2k07SUlmjUZmeJCxbHpj+GqfhnwrdaznULiKQafEw9mlOeg9vWu+GHhBc9Tc5p1ZSfLA3ZJJruW70u5jaTRL5y9vPnO3eCdqj1HNUtdvU8ORw6bpNqftDx7YNvTb/ez9e9XNX8Q2NpfRaPawvcOWw625AMfuD2qpaz6RYWbW011eX2JN6LIo4b/e9PYVlZyZpsQkfY7zawje5YK8kyqBh9vb86sxHnJPNZ73TXV087n5nOatxPxk1tGFjNyuaKPgVj6jqsNheNBbSxfa5kJWFjwWxxWdr/iE2Nq0doytcdM9QtebGSaW6aV5GaUtkuTzmr5OpPOad3LqGpag5vC/n5wwYYx7Y7V1vhjTFtru3lI+cOMfnUml2h1yximu49l/FwGIx5y+h962NOCrfwIo/jGc0pXkNe6QyBVmkcAbmbJIFNVCxz3qQpulbjvUsaSSv5UCbn7nsKbkkhJXZXkDR4UKSx6Ad6fBp5Zg9xkydk7CtiCwS3XJ+ZyPmc1DdypFC21gCR970+lcs6rlpE3jBLVjXCRx5bGccCufvNdlOy0tYvNvXH+qj/h/wFRifUNcdbTTmPlr8s10w4/A9zXT6VoFrpcO2FN0h5eVuWY/Ws7qJW5z1h4acyrd6o/n3GchP4E/CuhR54RiN2VR/COlXzBz0NQvIEOy3AeXu/ZfpUq8irKI9Lq4iUNcsuO0e352/wAKES4v5B5mQvZB0qzZaYztuf5mPUmtlPs9ko2ANL61tGBlKYy10+O3iDSjb7U+9mkuZAYwWc9AOpqW1tbnUpDswsa8vK/CqPrUtxd2NhJHHpwkknT70+eSfattjO5FbwW6LHc3siSKc/uVfD596ivdRub1fKjXyLdeAg4FVntJJ5jI7SeaxyMLnP19aW9juNItxPe/Z1Dj92nzBm+i1Ep2RaiS2+mM6+Y58uLruPVqu2lzbR3cdtaoCGPzOfpXH3OvXUsnCKY/Rqv6BqXn6vbxNDtY55DcdK4MVNulI6KS95HbkcVhakub6bkDCrkmtZ7ksxS3HmP/AHj91f8AGs67hzO7SMXfb37cdq+SjoerC6ZnBBkbBn/aYfyFRbN0gJ7+v0Bq4+N3Hr1/GoCuJFLH/O2nJmvURuJnCg53f+z0OoM3HLZ/+KokLmaTHHzE/wDj4qRceYpHXPX8WrrwW7OfE9CvKuYTuOPlP5bBTmUlm2gg/vOe/apXUeWN3J2k8f7lDKzK3/A/5CvROQglRVZu+N3H/AxRMHLNltoy3sM+ZUsu3dIQMn5/5rRNHln3Hu31++KYDZZXSJ9q7uJcFhz94U9rjyFlO90YB+h5xleaJ92xwgx/rPr1qOVFEU2Rk7ZOM+4oTaA0U1S+Ak8u6chVkAG7IBGMVmWBkGpRNM+5z95F/hOzmpQpLSk8DbKDjgdqq6WYl1C3WMmQrjcf73ycc/SvfypuVGrfscGKVpxOq0TxP9lskhmgeQDywGBAPzDuPwrdTxPphA8yQxHqd46D1rz62mURRhFKriHBHUj3qUrGIwrtkeU+VU/N9+vNniJwm0dKppq51WpaZp2pzrcWNzAlx5qSOucb8A/98nHeq3h/xRPbQx2WvyoJ1BzcHC4G7aA47H7vPcmsBWY3IUcDzIwcDqNveqcttC9tL9qQSf6M6vGD95S/Q0o4rXVA6Wh6bq8oWGM+YVUnt0NURcvsCFFY9SU6VQtFRLJESaSRFwURjkID/D+FTI+4qMYI6VU580rkxVkXVnifl3yOuO1OyWb5ELDHGOlZeJInLHDrwOnH41oQzQg7AGU9gnQ0JXGSeU5+/nHoBUUqb2CIMn0FNm1CWEqjkDd/DSfbZ5mJX5Y8dcd6mUI7ApMcu6IiFmUcZ69amJMRAMTDc3GOap308kYQI7edtPRd3GetNttWeFSskayBcNnGOtUlFaXDUi1O2mvZrcxRPlHUtuUjA31tRp5aqzH7pP3utVBrltJIsSoR84UswxyasJyy5OWGeTWsPJkyH+YGKAc5P3qaMlFDHbyeAOKcHy6IvO70/qakWFIlVpWy3PANWiRI4SxzuIBYgVZSIIo7Hd1PWqzXapgLhQCePWqs98EUszqgzn5zik6sIbhytmizwpux8xzzVO+v4hbz7njCbdrbjgVmtfySqotovlZv9ZMOB9F60C0SSYTXJeZ0YEb+B17IOKzdeU9IopQS3MzXYbnUfEC2FmqRuLZJhdNyq5JUDHfmsPxXM/hFoI0eZ4LjBYxxrlpM/N8x+7+Ars7q8MWszGWB1i8iMRSBCdzljx+GK5j4lzWqyaOs1ykLx3AkAaIyb+emK9Cs1OnGnPY56a5ZOS3Na0tykflDAC9ff3Perj3MMUTRuPlx3Y4/Kn2BklgRxCu084GAfz71O1tCYncxSRuTyDivOjTsvdOlyOD1XTxczWqGKZ445y65fy0++OoHJrm/EUt9ZaZqbRTJGN8ewRIEHLNnp1zxXouorEs0K87uMYX/AGqx5tD1nVY5xYRJas7gLPKPc5OT/SuSdNuWiNlJWOGi0+/bXNIvZ1SG3/s9A007Yy3lNkBepPNQaTZw3Ph64tdMtbjXZTex4Xa0SFtjc4ByVHvjtXp9v4K0SyuFu9Tme91SGERhmc4Py8nb75PWtP8AtKCwjIs4I7VGkyFCDptx0H0onyQ/iS+4uPPL4UY+geGdaiee51Oe3tbYwxKltGgzGQnOfof5V0yjS7Ix7VFwwByzc8+tZW++v7iXy1cj1Y98elTf2daxGM3tw8rjkovJ+ntRTqzlpRiOVKMdasia51pnaaKIA5BwAvtVYW17eiJnLqpPO3k4xU7XSRs32a2RN3Uv8xqGSeabO+ViPTPFarBVKmtWRP1iENKaJFsre3ZyzxIT0JO9ulQoLaOIRMZpduOUAQf41GOG9qa+B0NbxwVGPQyeIqPqWRPHGwaO2jUgYy5LGg3rgnb5a/7qAVTAz9aCvynPBreNOEfhRk5ye7LRupmH+sc/8CqF5S3Vjn61CBjryaOBn0qhC71ZhTywU4zzUO0HoefSmMu498ii47FoMxx82KlV3VeJPyqsg+VeeakJPSlcLE2+TnPIPX3qJ7XT5UbzNOtiXXa/7oAkfhinRtkDAp+eeRQBTTw3oskD28VvLbiYqWMUzdunXPrSzeDFitljsbuFpFcv/piFuuP7vHatWFfm6cVOwVxjdj8aiUE9wOK1nQdeihg2QvdqqHzPsj5UHJ6Jx2x2rL1a4lg1CO3YOsrQx4jdDknFegkujkbz04NMedypD7JBjHK1Hso9ClJ9TkZYSmr7rhYox5oKszctyDwvWs9ItEOtRsBIbsXA2lsxruz6DrXQ3PhjSLy9F4BPZ3IYPvhbKNg91P8ASuek8K69D4hiuoUgvLM3Yk3QsAyJvz8ynBrJ0JW36FqaI7BLt75o7Wa1jtPKlzHbIFJPltjLdTzXL6VY6hb3moG8iYltPnG89ScA1taXFb2PiJo7u+ja5/egWtuCW+433m6DjNR6L4lWS9uLbT4jBGtrNIHmbzJCVXPJPFY7Xsuhpu9zG8MaZqElrqj/AGaWKCaxdEml+RN2Rj5mxV3R47PTtO1kXWrJfEWgMsOn8mMCRed7cE54p1h4jTU5b1L9EnK2MzHB/hA5GOlUdFl0O+tddiskuInbTz5ife48xOgFVJSd7vsCtoX9K1ezvPDfiT+z7RrWOC3jdjLKZHk+fue34Vf8MahaN4f08z7TNNNKsGVyc7jnB7Vl6L4fudM8M+JWlV0ju7NVi80bWJDZ+6eaveDdMQ+FtOackS2s0zpjoSS3WvVye3t58px45PkVzdl1B0u004Q/K1m8xl3dMcYxXB38kipvSNHCq2Y8cvXoM09qP3JKfbGtWK8fNs+vpmvPr0FVI68H8K9nGu0LnJg4807GM9rbXiEy2XkP6bs1GLMiFoxyoHy5/lVzIHel3cV8pHFzhK6Pp5YGnKNjnUd9LuNwUm2Y/Ov9z3Feu/DJ1lg1B0YMreXgj8a86urYTIWAG7+IY612/wAIIPs8esRgnbvjKg9utGZclbDOrE46DnQn7KWx6WOtVNWdI9MlkchUXliewq5jmqeroJNMljb7rfKR9a+eyn/f6XqjbGfwJehy+nXNtdwLNZvGLZlIRyNqDnGfpU58O63qOpaVdWdm5VEzLJwqjIGQM1r+D9NOn6Pdw2CeZLAIo4mZQxwX+b+temgYH4V+j43EyTdPofO0aa+I4rTAVbUARyL2T+lM1MFrWZR94xkAD6VZt1Zbi+wVwbqTPFVdVYpazMHYHy+x9q/Oa8eXEOKPoaTujzu60q4GjolwEtAbuR91y3ljbtX1qTRrSwt7HVh9s+2q0KCQQxYXG8cAt1/Ks7UcnRYiSSftkvJ/3Uqfw3zpus8/wQj/AMfFbvRM1tdWZT0M2GneLtNh03Q4Y4Z5sPcTStLIp2k8dFX8q0/CGl+K/F/2xpLoR6cjbIpQvlo3XgKuBxVfQoJpNagdInZVLEsEJA+U96900uG3sNPgtreHYiIuERMDoK9PC2xCamjjxF6TTicbP4JspbzzL2SZnbHyIcDAGP6Vei0TT7CJYYrZPLTJAf5uT/8AqrcuZJHnJVFUKDyTnpVZ4kfLPLyFA4OO9TKjGm7QQlUlJXkRuUigXaiRgYwMYxVUxteu6xtuIPLDtV65TbD+4QZ3DBqDTpSsBRim4Mfu1Ljq7saemg2K2MTI42pnJ9TSymMMWll3AJ370PC88kZ+9hfyolgT5kkcKcDj8am2iHcaJEChY14wKkWaWR2C4x9KQw4XMULk+rDaPzNTxWdwOHkjRSeifMfzNWotslyRGI9wXOSd35U15YRIoZgTu7cn9KuR2EBG5laQlj/rG4/Kkm2wtGFjVSCeFFDg1AlS1KSu6YC2789CflFTRrfmMFJIAvYFeadAH3fMqlvXNWo2URKN3YU2tdx3OFIz9aicVbMJFQyIRyRXac5VK5phWpmGO1Nx60wGdqpWa/vrv/ruf5CtALxVS0X/AEm84x+9/wDZRSGTYp6LQRT0XmgCRF4p22nKMin7eKAItuRSYqXbik20CIiOPamkZqYrxUbrigCs5qMnmp2Wo2SmA0CpF4qPGKX+E/Si12BOrKwGGBHsakFcgIWQnbkfSp0muowSLl0UDks/Ciun6q3szH2yR1OQFJYgKOpPQV5r4r8bG8d7DTpGS1Xh5BwZf/rUuq+Kpr+4gs4pma2Eq72PBk57+1dBo/w5tNW1lry+zHZg7/KHHm4PP4V00qMaMXOe5jOo6kuWJqfCfTnTQrjUHVkaeXYsh4ygHb2z/KmeKfF0jqvh7QfKM6ptuLiMYSId8VD4s8Vq0r6B4cby0U4mnT7sQxjatcxa28drEY4+e7Mere5rlnLmk5M6YQ0siOKCOwt3SHPnSf66cnLSVW34ar0wyprOkIiBdyFUdSa6aWpjUVi5FLgfN0rM1PxASDb2OSx6v/hWVcajPqMn2a1UrF6njdW3p2giKAySfeI5LV1RpX1ZzyqW0RzqJLJCUOXdn6AVsaR4bS3b7TeAGT+GPqF/+vWpbWkFmMqoL9d3+FTGXdgCs5O+hSRYEuxh5Z2kc5FbFiqXlzFOFCTo+ZAP4h6isNEPHBLHoB1NdboWjTQOtxdEKzghIvTisKkkjaCbM2y0qa/ZnOY7fP3u7fStlobfTrU7FCIoye5atSWGZLfMKKzAfICcCuO1lteWONV06SWeT5fk+4v4+lcsuab1NlyoZq2uWsVkzOfkkTATHzNntisqy0K+1wJLqDPbWI+7bj70i/7XpWxo3hZbWRb3UmFxe9V/uR+yiuiC8+1Q5W0RSXcgtrSG0gSGCNY41GAAMVLO6WqBpjtGOB3NVLm+KyCGD536E9hVa3t5buUu5LN6miNO+rE5WJDNNevsXMcR7DvWraWCQoCy4FLDDDaAZwz08zNKTXRGFjJyJpLnA8uIbRUtvb28Y8/UJCE6iJPvN/hVQSCL7g3SVattOknbzJsn61XMkTy3JJ7661JRBCgtrJeBHHwP/r1e07RiwyMIB96Rj0/GpZHsNIhEl43z4+WFPvt9fSuRvPFN/rUt1AQtvZwy+WkMfQ8DlvXrWUprqaqJ0WpeJrHSEaHSUW4uujTv9xfp61xF3c3Wo3bXF3K00rdWY05huY8cinxx/NWMpNmiSRCtuSQByTW5pVtFbtA8gRYzkOw/iqise1gcZxWghcWqrtx85yo/4DRLDqrQcmEajjUSOtjChR5QG3tWffjEr55+X+laEWTFHjj5RVC9IEh28/8A6q+MkrNo9enqzPbluPX+oqEj94vc/wD1jUxOeTwP/wBVRtxIoHsM/wDfVJvQ2RG+TM+48ZP8xUC3+booIW4kxkH/AG2FTMAJiSeueP8Avmq6oxuWONqebzj/AK6H/OK7ME9Wc+J2Q57+3VQGYg7ckY4z5eev4VZMiPCxLrt+bv8A7I7VmNEqqmwbm2Dkj/pk3apJYAyMZjzh+nJx5f6V6NzkNBzl5NvX5/8A2WiVVEjbjkjd/wChisqUTeZKsGUBEvIPOfk79qZcXklvLN+9MmGkIT+HHmL39qLgbcwZopAMA/vOnrkd6jmVdkuBu4f6dqzrzULlLOZyseFFxlnOxOHGP61JNqqRpO3lu20Skn6bcjH4076CNAIQ0jNkgLL/ACFZ+mvm+tSkWxAcr6kbDxVtLlC0pYsH2SgB+pGB+lVLDzhf2zSldxP3OynY1fQZR/CrehwYv44EtoS9tF5alFHkcL1x7mkeFI4Bu5ZYnG1T23+tLYO09qp2hVHkkAcADFSt5awjI34ib6Y314tf+Izth8IK8xugqcJ5kYYL3Xb3qvvSKyl80BmEDFhGf9v1q3h3lP8AcEozjgY296rlIks33fvCIDlRwMb/AFrBFG3pUkc32hCuBHKAcdDkd61o2QyImQVIPA6Vl6TbvMty+9UUTcgL1wK07aFYdkUfzc/xGumk7pGciSSNgjgjHQZHANQJcraFtw6thQB1NX7mN4zsZ8gHkZrMuIBuG3/npuH+Fby02IiyoNRub0xBY1wxcbj1X3zVlHaIi2id3Vk+Zj3P+c1UlYW8CLDICWVz7irmkwEtFK4ySg7ck1jd3sVoX7hdojXAAVMAfjSbEP3gGweN/wDjTtR3hVZlQDnqfeqglVZJGZCCOmTnFaOyeolqtC0UDKrKmBv3ZPIH9anD5ClvXpWc0qjdvdIwzcFzjP50973cjC3jZzt4Z/kX/E1KrxWwODZpJc+XtCgnHT2qnLqCbyoYySf3I/mI+p6CqEkiHAubkuhGFiTpn6CmpdSukf2W22jfs59PpTvUl5ILRRZaa4kOSUgQj72dz/meBUDzWtqnn7jNPH8rEHLE/X8Kc2lteuyzO7qx3KD0H0rQttPsYcSS7AG5Ze+acKSuJyM1bm+uHkhtoRF83D4z9a1tMuBLqZtJASYot4JXG7LVbWSJAgiQK27rj+tZtrewjxhd+Zcoq/Z8Kpf3FdUI8r1ZnJton8QajBpML3JWSaZtu2FTjJGSOvTNeX65c6lr66Zq159ktp4dRdWjkf5FRSu1QD94nmu28YXD6pby2enXUTS4BR42/wBW2GGSfqRVfTdK0y0jsW1C2F3MheYHG4JLkc//AK63xE6VOjGTlaV/wJpQqSm9NDqdJEcmnWjrwjJndnk/hViX7NGjyM2GR8l3OCK56XxA623lwhIURsKIvmNUXa6uJ5j9wleHPLHp2ryp5hBe7BczO2GCk9Zux0dxqOnrKsxRZpcEKxHQZ96yZ9dmuVxGWwHxiMbf1p9voMsxhmm+6vLPKcfpVkJY2alIU+0PnO5x8oNRGGLxD191FXw9LbVlGOyu7p3yRFDt5J4zx/eqaK2sbONQiedIDknouaWWaWZh5jZA6DsKjyBXXSwFKGstWYzxU5aLREslxI4ILbUP8CcCq5YdB2oJLNikwF712pJaI5rt7jeSKUJ3pDyeOlHQdaAEOAaaSPSnEZ9KYwz9KTGMzhs54ppOD7U7AFNIJJOOKQxRggcnNMzycCnBcCmhCzUrjE3Y6UBj6UrIRSYpMZIrAdAacX+UnrUak80uD3PtSAFYgFjwfrU8bHYSTg1CRlCOcVLCpI+7n60XAuRMS3DGrhzGoym446gVRtjsm2kdRgcVYcTQMVQHGO3akIjZ8jpg1Xc8VNK+TzjNUzI0gyqr1pjHq52+tRStyNvFG88cGonkLyf7I9utO4CTpDc3CTXlrDcyRghJHX50yMcOOehNcjafDm2s9Ze70zU3EMtvPCbe6HzJvQgYcfe59cV15OBTCcjnpScVJNDueZ6boOn6BqdxbSw391eCznWQXS+RGy7eQFHzHPrmn6NqbrHqSWNvBpyJZvIq2cew5BHVvvHv3r0l2EsfkzxpcQhSuyQdARg4PVfwrno/B9lbyXs1lcTiOa2eL7KVBfn+42QD071xV8PLWSdztoVqVrSWpzHh15JrDxE0rs7tY5LMck/MKtaRZSXOl6VNG+I4J5XlGcZHP581JpCW6WWu2lrZT27x2Z8x7lsyN8w+XbwFq7oej66dEsnt7by7VXkkuTKNnyZPTPWuzJbRxEucxzN3p+73L81lGZPt+5t62bQhccYznNcFe/MhwOuce9drNazG++2Z/cLYsn3v48+n0rlbaxe81K2tXQr5543cZFfQY7+G7Hk4JpT1MBUcnsM1dg0q7uMbIWx6t8or0qx8IWcBBYgEf3Fx+tbkGnWdvjy4Fz/ePJr472TZ9NLGwS0PM9O8HaheShERsn+6MD/vo13HhrwpL4ba5eUx/wCkBflVt23Ge/410MbYZSOCvQ1aunWWNHX8anER5aEkcrxDqVEUT2rP1tXfSLhYyQ5X5COua0WHNZ+tOYtJmkAyV5x615OVL/bqfqi8V/Al6FXwRd3Gj+GWinDyX8sih85dh78detekWIK2MAYMG2DOeucV5j4R1a3uvDE1xe3MNmzTxTFWc/cV8/U9K27v4n6SbxbHT4rie4cqFdo9icnGcnk/lX3WMi+eTWx4dF6JFq0lWV75kzgXco59jUGolDDKC4HyHnr2qPR13RXu8+YReSjJ/wB6nakf9Gm/65n+VfC4iXNXcj3KKsjzu9Gmw6TCJXnuR9plPyDy8thc9f8ACptJvov7F1h7SxgtjGkWGyZC3z993H6Vl6sD/Y9uF6tdT4/8crR8PaddtoerJJA8Yl8kKZRsB+b1NaP4TZCaJqN9e69YwT3kzIZD8m7C/dPYcV7naZ8sAY8rHynnNeKeG9Pih8UWIa9tnlEhKxRMX3HB4JHA/OvZoWErcsC46qGLBa9bLNpHDjX7yRnmJhI+T8u5up96YUTJVm54PH1qdYkJyQWJ5p3zo58tMdKc02zNPQpTthVRVcMzfKG4zUNtZLar5jSqM/wj61bvYHZFdmG4dD6U1okIWNBuK4LHtWEt2aJ6FAThpfKWSUkKOhwDWna25gbIX5mwPp3p0KWlqA+ELkDJ6npSSX/707FPzfh2pxUYWcmKTctEizKmQC7cbxxT0dR05FZsl0zx43qMHPy/NioRcOUH3myOjNgfkKv22rsL2bND7THGgDOoPPfnrVO9uAdjhXIXOc/KCKhMnlfxBV9elZuq6vp1tZSS3F3EVVtud+fm9KylOUlYuNNLc1Y7romUTHQRjNR/atuBvk4H96uVtPG2mXWpWtjZ+bPNLKEyqYC571i3HjjWIriSOLwzqMyKxCyLA+G560crbsXyo7WS3wTxVd4M1sPCDVaSHmvTscNzHaDHaozBzWo0XJGKiMXNKwygYKo2sX+l3o9JF/8AQRW4YyB61n2UJN/qHHG9Mf8AfIosA3yiTSrEav8Ake1OWDJpDuVFQinhM/WrywcYpwt+OlKwGdsxSFc1faAAVE0FAFIjFMYVcMPJqFoSM00KxQfg1Ex596tSxnJqqyknpTQDC+KBJ1prqfSs/U7p7KwluF2BlHG84FUtwY2XZHE0kjBEA5ZjgCuD1/xL9t3WtqStoD8zd5D/AIVR8Q63qV/FFFKw8hVzmMbQ59SK3fAHgk6zMupasuzT4/nSJuDNj/2WvVlNQjdnDyuT0LfgfwVNqzR6tfoy2Ebgomdpl5/QVveLfG0l1M+jaCwCqPLnuh0A/urVPxP4ue+RtB0STy7OP5J7peMj+4lYdpDFbQrHEu1R+tcNSo5u7OqnTSJLaGO0hEUf/AiepPrUoeoXbHNU7rUYbGLfKeT91R1apSbNL2NC5njhgMsrbVFQ6hYpcaXE4JIkUP8AnXN+dc6tPl8+X2XsPpXYBVSwt4W/hjAx3NenhYRgm5nnYmbk0olaysrdLCzmcbPLh2McdSGP+NPuL0ygIBtjXoP8ajcEgKT8qj5R2FVX4PtTnVvotgjTtqycMWJqzbQS3E6wW6GSVugHan6No1zq8g8obIQfnlPQfT1NdRd2Fp4b09ru3aYSZA5YHdXHUrJaI6IU76ss6VoUenf6RcOstyO/8KfT/GrKa1bvdMkTb0hDtI4PTaOa4u58SzfZTFK58knKAHLMT/D71q+G9Jv5JJrrUkEMNxGyLb/xYPdvwrl85G/SyF0jxFr2r3jJYxxNZKfmuJUwPovrXT+dexgfPAx/3CKlit4raFYoY1jjUfKqjAFUb2/ht8qvzyegqOaTeg0lYW4upFQvLDHgf3ZMfzFZx1KO6Qxok8e7joDUaQXOpShn+77dBWjHBBZrhfmf1rWMe5DZVsbU7VSVBEUkPU5yMVbBW3BSMY96hkZ5WZ0ySPvD+tTRbJgqc+b+hFarQjcQc8ngVYgglnIWJTg96t2umpgSTuFHvxVxruKJNkAwvr3NZyqWKURkNnBZrukIdxz7CoLrXfs7L5Dokh4WRv8A2UVFK7SD5jkelc9rely6osAhmWMwzCQ7v4gO1YOoaKJclJkdndyzt95j1NZVhHia/wAf8/B/kK1tvaqGnL++1Af9PJ/9BWpvcrQsRJudQwyM1RRne9aONygVCxDHG7ntWxHHiRaxdiNqQEiPccfLs4MZ55PtXpYaMXRbf9aHPVbUzUCle+339KvvbTW9rG0jNHvbejPxxxzj8Kp4wRxn29a6/wARyxPY2MKwmSR+UXI5Hpn61zxf7mUfM0t+8TJ4+Yk3HjaKoX/+sGB1xU8d7bBVBnTd0wTiq96+9vlYHp05r4mtTmpNtHsUpJsz+uCTzj/CmNkyAKOMjP5mnDGPU/8A1hTXB8xSxAG4fzNYanTYiO1ZT36/ToKTY5uSznHz8f8AfdP6zAIvPP8AIVZFnP5xPkyN8+Rx/tZrvwMXds5cU1ojMKnYojHJQc9/uNj6VIyKIz/EfnPH+5UssbjCuuwADIP+6aUqAhwAT83J/wByvRaOUp3MTyGQHAQeYPRf4f1qtdKgll2oJGLSH5+F5kXPFaFwm5nLtj72P/HcVDMT58hiQg5c9Mn74zU2ApavB5tjcmeXbmK5Us/UDcMcU+bKxzm3Qh8T4bq2fk6VNfxxixnEzZ/dzbgOTgsKWTfJFOkI2/637vXO5e9NboBYbYo07MQGKzkDOSc7f8KbpqiO/hxL5ku07ifZG5p9pIreewkXKrc8ryANy/rUmlWkrKlzbWzLawxN++YcH5GFfT4CnClQqO/Q83ENyqRKkRuLiOBlO1Ee2KgHaqjBziopbxrezPzfaHW1ds4wh/e/nVi3jlkVXmbavmQMu/p9znaKguDFFY/LGJCtt96T7pHmf3frXzuI+NnfD4Syt9dTXCjyt8cdwFLDgKPLzULaraxWcjPmXba722fcxvxwfrTpIZpblHc/JHckgscADy+1ZzR28OnyoF+0stko54Rl8z86xVyzvfD1wl1DdMCpEc5jOBjsK0ZHxKu3kgelY/hWTfb35kC4W6ZRgYGMCtiV+eF6DvXXS+FGMty0myaTMz/OevYU50QgeUNu3tnr71QYZY5JJB7UG4McOOiZ+ZicAD61s6ijuSoPoZMgZ7mNI14AdQ3euhs4jHCAevGcVjJMvnKYE81sldwOFX8e9aEFndXO37TOdrA/JGu0f41hTm2/dRco9yPWLuzkQQSOPMTkxr8zfpWbJe3DQjyf9H3YwZiGb6DsK2dVtEhhtdkXUhdo4zVFNJgYHzLhDKDuCrzjnpRKnKUveYKSS0MiKaCOZJQrTzSvt82Rvu/5zV62NxeRxu/9/n+EY4qV5dLsWiDvG5aTYqpyQ5rUhKOvnW0cWB91WfjrWsacVsS5tlewsZEhVSyRqpY56Zyeh9elLcX9pYLGkMZuXLYwOimqc+tQ27xLcahbb9+3EfQscfIPWqtpZSyXMsFhbyxI7n/SpPujgZIzyfTiqcu2pKRzet+MNfura/htIY9OjtbxLdZ7hgiMnzbmBPXoOma6fw9bJM13NHNLct9pcYdcKuD/AAjqQM9faoR4et3XZrlz/asX2kzxQyJ/qPRc9T+NaQ1WO3jxAiKytj92ASetZOtCm71H/WhtGlKa91F6S3nlt286VbZFfb5hPOPp0qhe2GmRW92Y42uJ3hAM7+3pVS4ubiUzMxCDfwXOf0p0cDzzyhFklcx4GOnSuSpmDlpTRvHCKKvNla4kZxJEiKCW3+WvAyferE1s9xLabBIxIOQg9xW7aeHzIFe6OwA52LW3HDBaRYRVRF71dPAVa3vVXYc8ZCFlTWxzlj4cmKkyFYAWzheWrU22Gkliqh5m692P1qK81ZmzHbcL3f8AwrKY9WJyTXqUMJSpbI4alepU+Jlm7vZrvIdsJ1CDp/8AXqrkA1GSzE47Ui7jjNdJiKzNkgcUoQDmndvlBoxigBpGaTaByadyPemFiaAEdseuKaB2pc57ZozilcoTFAHOKWMNKxWJS7eijNS/ZnX/AFzxw/77c/kKAK7DPA60gGByOam/0aP7zyTH/ZGwU0XACkJbxr7nLGlYZCRk470+KIt0FD5lA3BQcdhim2sqiYRyn5Q3TPLcZqbBcc8TEcDIqIxyccKPxqy8zSuWPc/lTZMGZuKAQxLRzzuXH1p4s3GcFP8AvqpUbCkU9SQ3qKBkP2GXsFP0anx200YyyNVteR2qxEOR0oshXG20JLAt1HNSzJnowzVyzTzC2cZ96l+xRuCZkUN228UrBc5uRZQ54qGQDb0w1bc2moSWhlZfY81l3NrImcgMKVgM8/MfcVGSTnvTwMyH5aV4T9KCiAsT9KXPFNdCp9aaxpgP3UjYPP8AKkJ6YpCc0DLVjdR2t+LuW3SZ9nl7iPm25zitPVDFfR3mpW9yhRdPeHycfMDnOawN/GDzSMxToSM9feqpy5JXInHnVjAS7LCW1ZwMWvmBNn3uoJ3dqzPDl0z6zYW00YkbzFWKQ9Y1APyj2NdRNFE1nJFDGI38shVHf6elc5oklnFrlk84+y3EEioykfK/B3M3oeleria8KtK8Tjo03CTTPQHTy2K9hRmmLqthqLtFaTiSWPJ+71HfFIW2nmvnWj0E7kobBFTqcg+nWqgkXp3qeB9xaubFfwma0n76Fk61nayyJpcjOQE/iz0xWnJzWXrcYl0maMnhxtzXmZV/v1P1R0Yr/d5ejOXsjazQqbXY0BQqm04XrVOVhD4m0tkRSJURSCMgbmFW9N0yG000WEz74lhKOfu5Gf0qtcpBH4q0SJnKRsieVgZ3cjaK/S8brSlfax83h2udWO90fKRXvcm9mPy/71O1AjyJtyAjYeCfamaCcwX3tfT/APodS6ghaGZQCSUOMfSvy6p/EZ9PTOAu9UurXTLV7IR2zPLN/q0BI5Hds1BpjzXWj6tJcSySyNPb/NI249TVq+0yYadZJM0dv80rHz32Yy3/ANap9OtbS20m8H2wTq9xEGMMZ4xnjLYzWt7I16Gb4OjI8W2RJwA5yc4x8pr3VDJtLeXgbcZLZJryHwsbFvElslrZyJJlj5ss2T07AcV6jN5yWU07y7IwvSUcj9a9fLn7kmcGMXvobHchMD5RxSSXG2fOGIyDzwK5u68VaLp8rpc6pCjIfmVOSD6cVj6z8RdJ0y1trpYpriO5jLxnOMgMV/nUc0tB8iOyvZswlsrg+nzVS+1PE6xMm4cYwcVwcHxEvdc0nUJ9MsFR7d4kiX7xYuT/AIVbsrTxbdarbXOoXsUVokiSOrp5e8d1APJ/Ks5wbuzSPKlqdadVhjJV3jgC+pArN1PxVo2m+W9zeKd671287hXM/wDCGQX07S3WrXFwGJOy3QkdfU8VqXnge2vIrdF0iWfyIkijNxOUCryecfWovG61G2l0IG+I2mTWeoS2NvJILOIStu43ZYLj9ar6drni/W4Y7mzsILCxkbAmuSE3DPOM81oW/h+PSYbmG71PStLilQBRZRDzVIPUsck1BHrvg/TZLeyF1cavfO4RGmk3O7E8c9qu61sLmb2K9/pZv9Vu5rvXXaIyt5drbwFyq+hNXrfwpbPp8dvBo1xco0/nH7Y+1d23AbHp7VXn8bavvkTSfDLwoGIM0oWNTz13N1qtqF34gv8ATbee41lLOWR33rCPNXaMYA6DPXNQ27JMpRbOoSGTS1RZL3S9PiDZljiUklfT1zXLT2XhNp3M/ijWJJCcsyTKFP0GKz9PsLZNQW4lnv7ydY5TummAT7jfwKMfrXINqTRMY00bRQq8APZb2/Ek5NNWb0Y/Ztbn0SyVBJHmrzJUDrn/AOtXtWPMM946iaPn0q6U68U0x57VNhopmLAPrVG1X/iZX4xj/V/+g1sGP2rPt0/4mt7/ALkZ/Q0gJPLp6R81Ls4p6J045pWAVI6f5NSomMZ61JtFVYLspvDkVEYOa0CtNKUuUVzNaD6VE8WRWmY81C8Xy0rDuYssPJqk8XtzW1NFg1Skj46c0DuZbR8e1QSwowwwUj0NT6hP9l2AKCWPf0qot2rOTIixxKN24nPSmtxGT/witvd6pLe3kcYtEb5Yj8ob3PtWT4n8VNqjPpekN5Onx/JLOnHmf7K+1Z/irxc1/C1raSSQ6arENIv3pj6D/ZrkBrMaKqRBUReAtbc0qm7I5VA3YGSIBEAVF7VfSYcVy0OrIzjIHPoa7fRdBlu0S6uUaOE8qh6v/gKJRsVGRkahfi2gJRd8nYdq5hLea7ulmuX3s/P0rpPEcaprFzGiBFVsBB9KoWiJEyluSPyFdcYRhFSOaU5Tk0a2m2W1VworZMWFHU+9ULO6QlVGMVsIhmZERdzt0Ud6wdaUpam/soxjdGXKmCSelaWl+GvtcyT37+Tbk/JHnDSV0Wn+HY0xJeIskh/5ZnlVrnfFl5/Zmpx21uqxKkYkByflPr1rOVW+iCNO250eoa1ZaHCtuigyYwkSD7v19K4e7utQ8RakbeBHuLlht2qcJGM9T6UmkaVqfiu6Z4naO33fvbt+pP8As+pr0zRtCs9DtBDaRYJ5eVvvyH1JrBtRNdzB0DwTBpcgu76X7Zej7p/gT6CukuHjhUSyyKoXr71Bf6tDa5SM+ZNjoO1YLx3V/NiQnB5x2FEYOWrE2kWbnVpr1zFbDbH69zT7bTgi+ZPUsFtBYx8/M9NluGlJ9PSt4xSM2ySS4CqEjACiq24seefanRwvM21Fye57Vr22nRwASS4J9TTckhKPcrWmnyysrcoPbrVm50m3MZ2yss3Yr0FXfOwu2IbR69zUYUmsJVDRQKMVnsjUSyyyEf3n4/Kp8Y+lSlcHGKrX8r29nJKn3lxj86inCVWait2VJqEWxzA46VVkTBNR6ZrMOpTyQ/uiVj3HY2dp5G1vQ8VZkDcZRSe+DSrRdKXLIcGpq6KpXjrWQiziLVfs4Jm81vLA9dgrb2gnkMP1qpYxeXNeNvBMk24cH5eBURmm7FOLM/TJdRg0iz+1k/ammRJPMHODUUVxuv5mSXymhBQ/Ljfj+GtaK7srq+WEsLjyX3uUPyKewLDv7VL4e0pdQ1wwzrhXck44455r3cPTcKD50cFSV6mhjR+IUlaOJ7SRPMON6ODit/zpbmNpHd5PnAy/JGF7Cuqm+HekttaJpEdDlScGsG+sbizaaKRQG3Dg8Bhg1zyVP2MktzROTqIxJ7W70ubzb+Wee2fOPK6j7579eCOK1XtvORJbS8UxFgcFPfkfWt/yUubURSoHQrjDD2qlZ+H3i1J5hM5gKn5M/wAWcivloVqlZuMXZr7j1bRgrszYLS/8pfJRZWC8tkjnA6Z/rW1p2g3NywlusRru6ZyTyf6GtxIkQ7jsx7cD8qsxS4Uenau+nRuv3tn8jCVVr4B1nptnYgeWq7vUjrVoIZoWD7R6bR0ohdGIA3Fh171J8+xsvg+4rthTjGNoo5pSbepREKElfKEoz3AP61GdOtHH722j47BMYq/yAAkQxnOR9aYypuy7MfQVPIh8zMafw5ps+dkUiFv4g3HP1+lZ914VibdsvGjzzgp757V1SncoGePcU3bECMlS369Kh0YPoUptHB3nhi8azkSNEn3K4CB9mdxzVG402+jDpNbvGG3cBePvjB/KvSPKy3SNfx56UjQoo+XcWPXB3dqzeFj0K9oeZaFYvdrdRWavLJ/pB3ONoGZOnP0/Supgi+yeE54pdnmrG24pyu7nAFdNb2iRM7FI03DnaoGfrXEa3qc8l5fadCkaRqkkh8tsvkJ8mK9GnzeyaSOedudGJaxOHZpmCkyxMM8k/JTJXWK0JiQBhAMFxuON/p0ra0Lw+17FPK10BIJUbauG42AYb0PJ4q1c+E9QjiZLVrdiEChi2GOD715FalJyukdcJpKxz0sDm5RpW24ncjzDzjZ2FUP3MNswjj8xlt4huk+6wL/3f8a6C50K/EwMsRGJHIbdu4K4FQiwsbPC3TmV/LjXYgz93pnsK5Jvl0ZqtUa3hsymzunlz81w+04/hGB/StG6mjVv3jYOPu92/CqNhK9zZq8P7mLeeEbJPP8Ae/wqwtosWXUbiOjMev41rDncbLQh8qepDPeTSY8hPLyPvSDJ/AVGtr5wXzXeSRucvztoGIHHmusj7zhR6VIs8sjL5aINy/fc8/lVKEeuoX7FlF+zqAmFxyCfWrMNxI8hHm7R/fPQVzd3dagt3cLC4lVYQVUvxuyB9KdJq/lCRZEyRs4i5PNaxqJMlx6nR3TQKkBuZn8oP82PWuL11r6Ty0spns1ivFMokOGaPI+6BziuijW8vY8JD5f7wgGTgMB39arrpNgk0VxeyG6kR2dP4Qh9OP6mictL7DjG70OP0a7vg9qLexuNS330v77yVjEKgAbto6gZ6kjvXeWNpNDbol7JANzM0ZTgbOONvrUEWoeUFFvEqbsr+7HHaohJcXBhMkm3nGAc1yzxdOmvd1Z0LCzlrLQlii0qxmWRLZXmc5LSckPxyvp+FK2o3dysW0EKDsH8PHFQRpHH5bHj5v4jzQsm/wAoIpYburfKK4amNqz0udMMPCPS40xNJ9+Qv+86KMetKSiAjIUmToo3E1Nb2s144jiLMS/IT5QOvWun07Q7eyy7KryE7unAPtV4bB1a7u9hVsTCkrPcyrHRJ7lmkmTyYy2fm+Zj/hXR21nDaptiTHqT1NWB0qpe36Wi44aU9F/xr6ChhKVFe6jyatedTdj7m6itU3SHk9FHU1z13eTXcgLnCDog6Co5p3nkMkjbm/lUO/LYHNdWxiKThsZpwXnmlRAG3HrTiQp560DGhOTjpTGXa3SpgwP09BTjGCvt6UARbcU1iM5qVh0x19qjf5QeeaAGM3UUwnHParEdq5TzJWEUZ/ifqfoKR7iC3/1Ee9/+esn9BQFxkdnPKu8gRxf35flFMkeygGMtdSf98oP8aiuLma4O6WQv7E1XK/lQNFk3txIu0ERp/djG0VGFyck1EHGafz/+qkOwY2mlJw1ITmjIAFIY5TkjNYYuGHiC3TccF3XHrxW6vrXNyJjxJaMT0mYj/vk0LcTOnU5Uk0xeWNMLZqSJcgn3pDsSg8cg5qUDNRoctipxilYLkixk4qxGmO5NQq3btVmPGP6UAaFlxnirbMrKRnmq1iPkYtjrxinuVRjtoJKNwkvmcNwD0xVa5GYzjqKneU72OKhkLbSe9K5RhiP/AEvhljzzk9KdO6bgud+By68ZPtVDxIHt7YurEbg2KdbPuto2PUoD+lPoC3JhFvz5cik/3W4NVpEeNtrghvQ9amI9qc7mQASHdjpk9KRZTB6jmkLY461M8XUoc+xqsx2thgQaQh288UxnJpN3Sg8jNFx2Gnnp3qIWlq2pW15PDuaB89Oo9/Wng804jPWi76BY1Rb2cuvRXMG35oWX5Rgdq2JdDaSQ7HATse9cvBO9tKJE6iptT8aaojLDb2ewMPlaJDIfzPArNx7is+hr6lZQ6Xp5unMjYYLn61aeeynhjS0lhkkVf3gjIOPrXleu+INdSNnvI5JomYBBLKDt/wCACus8I200C3Mk0rvuC4/dbFH0rjxbSptGtJe8joJRjFZGvI76LceVkSbTsx13Vsz9BWPrsvkaNcTbSwjXeQOpxXk5Yv8AhQp+qOrEv/Z5ehyWhxX40WJJXK33kFt03OH3Z5qvfWc9x4s0GILvaII0hXjgEZIq1pWsLd6N/askTxoYGlKL8zAZ7e/FVb+d38Y+GnR2XzDEGxwWBxnNfpWMaUJW3sfOUb86vtc7/QiDbXhQbF+2zg98nd1qbUVIhnwWzsPf2qDw7n7DdlhtzfXGM8fxmrF+VMMw3fwnsT2r8wqJupc+lpnnWognTtN7krKf/H6m0vA0e6HdruIf+O1qS6P9qtbFYbO9ugsbYIURLyx+8T0rTstAuobExvbWVmPNEnzyGXt1PbNavY150Y3gqIHxEszJJhAwBA+UH3rvvEs9rfaEdMTUIEuJXjyC+TgOGPA+lc0BpmliT7brzzrsbdDCoVAO/CVnx+MfDdvdRxaPpb3Vy7hVZYyeScZJ5rsw9d04OMVuc1Wn7SXMZ58B6fqOpXd5NPe3LSzu+y3i2qMnpk1vf8IbbNBZxrpVv5drD5cRvXMmz5ieg61nX/izxUxlS10yztIo2IM08wRfqM8n8q53X9cmW2sDqHiO9DXFt5rR2UW5XO5hkM2Ao49KmPPKyuVy2Owms9M06xltr3X4rKNmXjTkWArjtkc85qvpXivwxp8selaP9p1G4lf5WuJTI2fdz0FcPBf6cPCeoXP2QTqt5CjHUJjJu+ViD8uMfSo/DHiGSXxRZWls0MULl98dtAsa4CMeT1P51ooTcWLlj1O0uvHPiEJtt9Ig0y37S3jrGMfjz+lYXifXri3mhF94knxJBHI0VrDvyWXPDHCgeledX19eXc7PLk9eZXL5rZ8czNFq1qnmBQun2w6f9MxWqoe8ri50tjoLC50680G/mis7m7LXFvEfts2d5LN0C9P610tnpVxDqNp9litbSBZVLrBCqlh7nGa4fwdIsnh+fc7sG1e0TI+jmvX7aGQz/PDsVT16ZrGtHkubUpJ7mJb6D5zu80sjLvJ5q/JpMawW0bA4V2Iz71dDxwIPNlUKSTknPeoNQvY8W4VJp/MztCZ559q57N2NHNEZtIE067kKqrLAwUevFeeHR7mQ70hlZT0KxkivQ7me8gtJd9iYVeByrHGcjHvXJNrupbj+/vB7AHH6VrGMkzOUubVHsZGaidRUv401+RXvHkFQrz7UwrU7jAPrXK6b4gmuvGWpaRII/KgRWTH3vxqWNHQ4/KqNuuNYvB/0yj/9mrVKZ71n24xrt4M/8sI+PxahjRYKc+9PRQK5Tx7d3lnp9lJaPKn+lIH8rriustgWhQt94qM0gexKq0/bTlGKeFqxERWk21OVppWkIrsmKjcZFWWFRMvWiwzOmTrVKRK1JlxWdMNuT/Ooe4zlPFLxwiF5ZdkYDZzXIoL/AMZSvb2jNBpUP+sdvl84+leganZ2d8qpeW0cwXpu7VDbLaWdutvbosUa/dVaHomNbnFrJLp0X2KI7YF6JtBX8qzpbCxv7pEmsbd2kYAkR7T+ldrd6TFMS2OtUoNFCXSyZOE5r5j6xabs9T2lTTjscVBoWmxX6Tx2qK8Mm4APkceoNdoniHI+e1/I1gpYSvPIQP4jx+NS/Ypk/gIro+t1F9oz9hTfQztf0uPVbu4u4L97YynJjaLI/PNcz/wjupKT5c8MgH+3iuymimRDwwpunWrzzPkdRXRTzGslqzOWDpPZGBpWg6y97EjCONGbmQyDC/1r1a10m200WKxP5spm+eX1+U/pWRbaKspHJA9q6SKyjtF0+OPP+vyWPU/Ka6KGMnWnyyOetho043RoCPJrO1Hw1pmqyGW7tt8pABbdzj0rZC89Kw9X8TW2njyrUpcXHoOi/WuyxzmifsWkWSr8lvAgwqLx+VcvqXiC4v2MNoDHD3buazHkvNTuPNunZz79BWnBbRwrubpVLlROoum2W2Fncck9T1xir0tyEX92OW71V892OMbI+4705EZjmNfMU9SOn/661UiHEiJLHLEkntV6106SbDy/InpU1pFbQMSP3kp6Dq1bdtYyyxiW5QqD92L/ABqZS7jVinFGkS4iTgdz0/8Ar04oxOSTn1rRMWOMdqb5OTWMm2WlYqLEQBUoi/OriQ4IzUqxdeKVirmb5XqKz9ZTbpk3tj+ddD5QJ7Vla9FjSZsA547e9dWCVq8TKs/3bPOPDhuIvFixytCscqFt0bfeG5sb/Rq7x4yW4OfauJ0i4stK1+4uLmyezLW+3H33upN5O5V69K2863r+5yjabaE/djOZGH+03b8K3xVF1KvNJ2RFGajGy1Yuo61a2Mn2dA1xdH7sMPJH+8ei/jVC2srvVWma8kEMLP8AvbaAnaT/ALR6t/Kt+x0Oz06MLBEFbOd2P1quH+xRajMVG4TnYMffOBis6VSClyUl8ypqTXNMgEaQzwWdqqrDC6mTBwM9hXaaRHu1PSC00b7bbI2DBHXg1ysVp9msYt4zJJOjuf8Aarp9C/5Cunf6GLY+Ryf+en+1Xc63tIO2yuvwObk5ZI7auA8TGJZpt0zyAY6jleG4r0DHFee+LmkS6lZ4kBwNvYHhutcN/dZuviRr20ai1hc/xKDVpd3YYWobU4tIRty/lirG07SWOPavMjGMX7qOt3YgYB+OWzQAcAu2B6ClU5YBFwnrSYXq7bj6VZJdtLhFUjbhcjBqSO4UK7KQX6hc1FZ4e3AYKNp/iFPVIWt3MSROR/d/xrohflRlK1yb7U38SFP/AB6oHukVhg5OBwBmoX3gr5n7tf7obK05UyV2J8px8wPFTztjUSxE7SKCXUdPu/SjfjKoqsf/AK3rVURMvJ+cY9fajfJkCMFcD+Lp0o5wsWmh3LmRVx6fhUYijQny4mB/2WOOlVrib7PC81yx2r1Ytx+Fc3d69qV55WxvsMEhXZz87c8jPfgdBUTrxhuVGDZ1lxqFvZITPdoi/wAQdh8vHFeaTSrfXWpzQkySPA+JDxuzwP61YvrazNqUnM0QkcAH+OTad38/WoF1Ca2tZpxCLeNpI0HyZK7jjv07V24WrKeHqTS12MasEqsUdR4de00nT7j7Q+DNKGIkTB3bQCB69K1ZL5n2hXjtkfmMzNy3/Aa4zSDd6lHPLEFkvA8ihJWz5hXgZJ6VqaVeJp+qXjXti1lK+BsWQyCQ46r6DPpXnTc0/wB49DdJfZN1U04Mxm1KKQqc/NIOB/u1b/4lskRUvbybVxg4NcbeT2rR3E86xpOQxTzQC2zPp6U23Z3mZ+JAsi/PJ0AxUxnFbIqUH1ZsS3Fql2tvYQgI3ChV2pmo9Vae0hiicbpXO4iNsYAOMVGqwJKZZZlLqW8raPvf7oprJrF08YjiW3Vwu2SYcjnn5adriHRafHHI7zSeSpkLgLyTVmyjt0C+Rb7kUcSStyaIoLe1cG6ne6fc5VHxhD2wB/Wmy3Uszb449qeVwAOKiVWEFqaQpTmOmtRLNM92kHlcfuwNxqN5bO3kJtreMSBsblXnGOBTWjeYSeYxclF49KikMcbMAc/OOF5NcVTFv7CsdVPDx+1qD3FxMoXhF8zHrUQiUsrSEuQ55Y9KXdK4+VAn7z61XaaEHczmZlkwdvzbfr6VwzlOb1OyMVFaaEyyqDGEy3J+70/Omxu5ERLLGu7GB/jWPJrsUZiDSJGzT+Uqx/vC2ccE9B+tZUetPdJasiBV+3eVukPmMvTpngVUMLUmROtCJ0q3UAMTIN/7zaXJwAeO5rR0XTLnWY1mMrQW6SHDxr98egLD9cVH4a8JS36rfa9GzMk5khhk6kdi35dK79QFGAAAK9bDZZFe9M4K2Ob0gVrOxt7GPy4IwoJyT3J96t0mKzNT1HyAYYiPNPU/3a9eMUlZHnttu7F1DUxb/uosGXuey1hFmkcuzZJ6k0EfMSTyaFx17VQCFcj2p6Jt9zSAknAqRV4pAMII+tNOWHH51MUJPtSHgGgBEAUDPWnHn6U1Bu9qmTyVbfNnyl+9z39KEDGxwSTZ2DCjq7dKRpre1/1I82X/AJ6P0H0FRXV/JOAijy4uyLVTGaYD5Znlbc7FiaicZ5pwH50hX1/KgCLmmlRx1zUjHBx2pp470mMixtY8fSnoe1OK5HUCkCsGBOfrSKQpHpSBfTpTip5xnFIBk470rgGOR6Vz8/y+IbX/AK7/ANDXQAj8a5+7GNftT/08DihbgzeOT0FSwhgmaOSRTwxCgZxUjHh89f0qRDkn0qJBtH1qZRgdKBFhB8uahvb0WduX4LHhF/vGpC20AYFcx4ivjHrWnwA43biv1xQtWJnPa58W30TUZLK0L3ksbYmYOERT/dHBz/nrXV+EvHdr4us22Fo7pD88bdR/jXzRcsz3UzP98yNu+uTXUfDy9msvF1q6OQsmY3GeDxmqlHQSep9KLI4GWYVFJPuB+YZNQvMpAwAu6hyFX71Zsuxg+J23WijnOGH6U+0XOnWrDvEv8qb4kIe1i57n+VO0450mzPX90Kp7CW5aiPUduwqJ+p4x60/O0jGMUwnkVJYx/u9KgJ8w7HGR71O+TVcqQeeRSY0RyQlMmMlgO3eofMPpVvOSCO351E6I+T91vX/GkBAfUUgPzD0oYFTg9aTrQhkgbPNNzkbecGkHIpx4qhFZpm0stPHtdv4d0YbH51teHNZvNW+0i8KYjC7Aoxisl/myrcg8EVe8MWwtrm72fdZVI/OuPF0oum3bUundSR0MygAe9ZWtmNdJm87b5RGH3dMe9a8wO1cisfxBbrc6HdW5baJYymfrXlZcv+FCn6o6MS/3EvQ5vR/skcCiy8v7OsJWPY3y4z6+lVpri3Xxzo8kyI0bQbk3uFCtjIOTwOlO0nRYk0ZtJmctELQxOy/L+P61na3ZW58T6XA9wsSQwRmMOP8AWFSuE+pr9Cx1/ZzvtY+ew9udHe6ZqMKq0doPPBdmygabBJ5+b5QKklvNQj8x1iHBJ/eyD+SD+tT6NCgt7rGVH2uYbVOB96k1JFFvcYA5Rv5V+az5uY+mgk2ctqGt6sI4ZZb+C1EgYlU5YYPbGSaqQNDfW1xcT3NxeNHLGMy8AZ9Mmue1XUFttK0zdGSC1wvB9HFXNJ1K3XwzqV1uIRbmANuGPWtPZuyZorIv6Q8V1cXEKWkUf7iTMjkyHp78fpW/a6bLD9nX7TKFDKSkeI1/JRXPeFElmkvJ4o2dPs7BXx8v511dvdI00SzXUAbcAqh8n9K0hGyHzGDqGm2x03UZ40/f72ySf9quK8XRslvoseBgWA/9Cauz1LXNO0+KdQZrhmkKlAgQcn3qhrF4iR6e8Nha5NohVpU81kHPAzx+lbRvGxm5XOWh0uefwFf29nbySySajCQkSlycI1WvCPhPVrDWba+vI1t441kOJpFRvuMPu5zVy/1fUpPBl28t3LuW+WNfL+TC7Dx8tSfD61/tG8slldvMkEke/HPKkV2UadWrCbj0OepOMGrmGuiaLbwk32rtIwHKWduX/wDHnwK0/Fl1pdrrTB9DS/lW3hCvdTNs2+WuPkXH866nWfhpqtkjGzUX0OONmFb8q5/xdprnWpdyPHJsjXDLxwgGKiUZwkuYIyi07FvwXeXWoae4tbe004JqMY22tuAu3y2Pzevbmu+j0loJori91YTSHkJuVF6dlFeXWOl66ng65jsLe4Fy+oo6FPlygQ5OT2rT8MQ6omqQf2tfaejgMRGsu+U/Kf7ny1EuVxk2ON9Dsl1HwxYZOPOfOcrHu/U1WvPF0NpDbzWlmCkyMy+e2NvzEdB9K4ZdS0SWYQ2bahqUw7Rp5YP5Amtu9s9duLfTf7O8P28RMHzPeAMYTvbj95+fSqUZO1kJyit2X08TanrqXaSpE6RWzsiW8RPzcD8azlttVKg/YCvs0qKfyJyK2bDw1rklldprPiBmWe2MIhtk+WHJB3Dtnj0rLX4ZaIFAkn1KR+7+coz/AOO1tHDTcncz9tFLQ9WywoHI5pSQW604Cu+5yEEmcVSg0qzivpNQSBRdyrseQdWArSbBOKUIMcUrBsRAYrMiG3xJc/7VrGf/AB5q2CmK5HVZ7h9euo7QyJILLHGBu+Y0MaLviaQ2+kSShiuHQ5H1rYhcSxI69GFeXJdLHF5F5cMrAYZXzitOz1aWKNVg1XKgcbmzUpjPRAKkB4riY/EGqKRtuIJPqoqynifUEI821ikH+zkVVxWOlmvY4b62tGVt9xu2kdBgZ5qz1rg9R12W5vrG5+zPGLeTcwDdRW9p3iiy1C5W2USJM3Td0ouFjbZajIxT9wxTWNMRVnH5VnzrknjitKXkVRkFQykY1wmWNZdxASeK35ostVSW3VlPFS9mNbmZPf2sZCO5DewzUcV9ZhifOXkfSn3OlRzoRja3YisKawlhYjJyK+axWCdGXMexh66mrE8Fu3nOw2EFieGHrV37O2MlDj6VhmOUH3qbTEmbVIxvbaOSM1y8pvYvywKQQRUGl26LfP8ALxtP86orfXkbEec+AePmqRdVuoySNuf72wVpytKwW6nX20accVJfSJb/AGOWRtqJNkn8DWJZajeTWUcwj3MWOdq9qsaobltKiNyicyqVTv8AjXfltKcanO9jjxkouPKZureIr3UVks7EeTA3Dvjk/jWZa2EcZH8bdzVic7ZDtXC7jwPzBqM3awr8oGa9aUpuVkcSUUjQRRGM8ChpfmCgF3PQVQglluWHPHr6V0+maHfTw+ba2j7D/wAtT3rSFJ7yM5VOxTgsMkPdvtHaMd66Sx0aadFLJ9mt/Qj52/wqOPSNW0yYTR2gkYjhnTeV/wAKtJrGqxDE9iCe52la0tYi9zYgsYbVNsKY/wBo9T+NK6VkjxNtP7yycfRqkHiW0cfNDKv4A0OwFl4+aTy81ANZsGP+tK/7y1KuoWLn5bmP88VFhkyRYFSbcdBmnwyQuPlkQ/RqsCLJyKqwFXyyTnbzWT4iDx6PK6nay8qR2NdAVxWP4nT/AIkNxx0FdOFS9tEyq/Azzvw5HZ3Xii4zJPM62vnS/aU+5J5uPlbHK4rv5ICGfBBAHpXG+F52n8UyL/aMV55enFBGqBWt8S/6tvU+/vXezplpMxHp6VnjLuoyqHwma0LZ6Cuaig+269IqZaC3fzZPQyEcD8K6DW7xNO02SUBvMK7UXuxql4as5LWymjnYed5xLkdyQD/Wpp/uqTqdXoOXvy5exJeqFt0I4/erWjoc0LaxpYjumnxbYIb/AJZnnjiquqREW0bEAjzVrFsdT1W11nT2uLclok2wIFx5kZzz711YRXoP+uhlXfvo9d7V5z4ocfaJ/I3sON+eq8N0PaunfxKkMZaeznj46leK4bXLw3jyu86JjAD7e2G9OtZuP7uTHF++jsrUym0gXAAEYwT/AJ5qUgBvmO41DYg/2fC5kJJjHX0p7Odw2DC+tebp0OomDFmxnb600OozsXcRSbkA3OR+NQtdBsCPb9adwLts8nkSMHwVwdoXIq1YvK1qflVW902ismG4uot8cALyuwII6CrQurlIW+0xFgecqcGtYSstSJLUuXMgQHzEDeh/GoLS68wGDG0AZUntVdtQhVXZg2F6sx/rWcNRR5c2yE8/f6Csp1LSuiox0NosiOd3Jx9e1VZ9RjJcqodV+8R247npVeMh4nFw6PtwSOgH+NQ381sNPktBgq6bWx0x6VDc2NWMG+1W6lkaR/LtAB8qE75Cevy54HHcVHbI9qJZVPmzyFvvDzD07selXxoS6rM1xIgJLuy+aThQw2kDHbGKsG1soGMd3dLlflARuF49BWap63L5iO00BdXsi80xRI5yVSMDn5Rx7VW13TlttJu55Y5GAmj35bDcFcY7V1WkNElqAkm5Q3GRtzXL+Irx7lLrTrcNdzO+9og3O3coHPbn+VenT9yi/wATmlrMz9GsjPDctslhAlk2tbS4PXrXTXUN3qMNsksmHjO4umNz46g1nabo17bJI11eR20bSPL5cS4J5/nWxGEW43RrJLk4DOfvVyTUW9TaKlujGh8J2n2tpgJJbhVYZfoFdsn2rRbRLdZlM0oyGyoHUY7VrwWkrxYeXYrL92M/1qwY7a3+XjeW/E01TildITk3uzMtLdLeJ1t7ZVJTO5+uat/ZJJiWncnLg46CiKY7SkaKh25A7066uLe0iL3lysagg8nH6Dk01ytajd09ClLFbIMBQzKzdB0rOkmbygqxnPl8Z6UX/imytnEMMWSJfL/efKCT6Dv+lcrL4nku5reMs/73zVAVdiHb6jr+tefXSb9066b5V75uSygbkml+fyw3lLy34KKo3mrw2yzhNiOgRvnO48/7I6fjiubNzdX0BijmQs1gzLFGCpzuoudODLeC4aOPdb24IHzvkdflH9a540P5jSWJ/lRe1DVrlorgJBI3l3CD95059l/rmqc015c3U6fvXaPUVXai9Ewewpty0MKXrJbys32qPcZSdufYL/jUrT311dywxSPIw1FYxGi/w4PGBW8aaXwownVk92JBA7zRJJND5n28mONV3s/TgY7/AFNd/wCG/BtrZwxXF7a5uFlMyI+Dsbpk44z+dW/DHhdNJjae7SKS8aRpAVUYjz2HvjvXTivTo4e3vSOOdS+wAYoorO1PUVtI9iEGZhwP7o9a6zITUtQFuhijYeaf/HRWATnk5+p60jOXYszbmbnJ70AZNAxRyOTxSg54oPAoUADmmBIBxQp3H6U0ZYjA4qZE2npSAXJ6UxgsYJc1ZjhLgsMKo6sazbh0kbapLD17fhRZgQXV8I23K3yLSW959r0+3Zfu4J/HJrN1ZfLjTnAbI4p3h5s6Fan/AHv5mhAzUApDmgsBTTyeelMBdwzjvSEil4HTpTfegBrfMM1HjqWIAAzntipT93FVLm4SOSC3bn7RMkR+nU/ypANvNT0/SIEuNV1CCwhk/wBWJM75PoBk0+x1LStZtnm0vUYb2OP7/ln5k/3geRXgfxA1ibV/GupSSvlIJTBEvZUXjj8c1n+HNdvNB1iC9s5NrK3zqejr3U/hRYEz6TMmB14pEfLFFBL1Ue8QwC4g5WUL5W7/AGun868q8f8Aja/h1ebRdLuJLW3tflmeJsPLJ1OW68ZqUi3I9i24OGGDWDqHy6zbsOgnQmvOPBXxF1C21GHTtXuXurCZtu+Y7nhJ77uuPavR9TG3UIjnI82Pn8aBNm+m6RAQME81KF2gAnmszVNYtdH025v7ufybG3OxmQZeSTsi/wCfWuV0z4uaLe3i29zYz2UTHCzu4fH+8BSswud+jYOKmTj6VANrYZTuU8qR3pst7FAkkjsqRQ/62VztRPqTSsO5dyQB61yHjqyuDbWup2iF5rOXzNo/iFb+m65purq7affW90F+95Lhiv1q2yrMrI4DIRjmlsG58/eIfDRu5jrGiI1xZXR8yRE5aFz1BFbnw+8MXa6ql5PA8aKp2CRcE57/AICvRT4L0mLUzPb302nvJy6RuMMPcH/CuhtrG2tIR9nO8Mf9YTkmqc9BKIBFPGMDtTJF21MwAI6896jlbI5qC0YWuDNohP8Af/pTtJ+bR7Xn/lmKZq5LWwHH36do0gGi2o77f61T2Ety0wI/Cmhuo704nOeabtBHNTcsaTzzTH5Hy04r1xxUTjA/wqQGMc/WmHpQzcc9KjzzwaBg3IwefeoyCnuPWnmm5INAhqtz7U5mDCkdVU5Q8enpTSaYCMKIZ5LadJYmw680Z4puQKTV9GCujqbe/jvbcMMB1++npWb4kaVPD948H+vSMtHxn5h7VlRXElvKJEOCKvatqKJ4euL0KzLEu50Xr9K4aGFcMfTnHa5tUqJ0JLyMzwrp19qmgrcT3SQXHkJvlmjz87H+4K67/hXGl3NzaXV9NPPNbIgXY2xcr7VS8BzW+qeGZb+cGOCd0cKW5HPFd7E/mxK4GN1fR4ytJ1HFM8qjH3bnHaYBHHdqzYP2yYj/AL6qPUyn2eYsWC7DyF9qn0/5ftv/AF+zfzqvq3FtcH/pmf5V8RiIqNVo9yjqkeVa9c6RaaVphksLi8Ba48vzZvLAO4ZyF6/nTbDXZY/BOpXVla2lm0d5FGoii3dQeTuzk1S1+2nu9M0ZLeGSWRnufljUsfvj0q7ZeH9Rg8EX9td2/wBkea9ikU3LCMbQDzzXVHl9mr/1qX1NHwNfvqNrq9xrF+8kSx7QJX4Ax82Pw9K6aDXvC6X9rbWswldpFSNYUyM5xya4XQdLsrL+0nk1y1mY2Eu+K1VpCgwMtnha0/C1tayahaCy0fVroLIp+0yqI0UAj5sAHP51o0ruyJcrGV4quNN1i4dIY3huIWZCS3BIJ5wKl1LS9XuYtJTS/NkePToVIRCwJ5rrrfQvEM9xKbew0mxj8xv3k4DueevetK78JS6jcwR3+s3QRYVV47X5FZh1P+RWkaVWXLoZSqxVzhDouqf8IlLbam9nZzPfq5aaUAbdntnn2rZ+H9tYWOvWltDrdveTpuIiiiYDPrubt+FdO3hbQNK05bcwGSLzvNP2uXdl8Yz27VoW95o9srR2MVqhVScW0AB/PFdNJyoqV5JXMpp1LWiztGdwMvKiD2rOafTzlZ8TumWAK5xXKxa1cMhSDTpnJOcyvtpl02qvcymOWGCIjGdoJ/M0p4ugmru46eCqvfQs6pp2k63YBkjuokkfzPkkxz06elVdO8M6Hpsy3MVmonAOJJpS7DjmlHlRaekM165RWwPL+nSm289is2Iond9pwzn2rknjaSvyxOmODn1ZPb39jaEpbhFXsttGFH6U+4uZ5TH5Fm7FlzmQ4xVCPULhh/o9qqjthaW7ku3aLfOIsoMjdjn8KylmNSW2h0RwEIvX8zQxem3lM08NuCuBjqvvVHyLP/lpq82/vhjioY0jEVwZJmfKc4Hv71APs2P9VIffd/8AWrB4uo3v+ZvDCxV0l+B6E0CjGOKjeNh06VDqF8bfTriZMF40LAGuI/4WHdCX57OAoTxyQQK+jZ86lc7rEm7rxUo3YrO0bVF1SxS5wFLds1pLKCKSCxHK5C5xXPSW5fxYXXILWXT1+etrUbr7LatKFVivOCetZFrdmXWkvHQJGYPKxnod2aTa2Y0UdR8PNcOW8gNmsObwy6E5tG49Fr0suvrTgQRRyBc8lfRGTosifiRWHfjULPWdPt4LiURTsVfvivdWhiZeUQ/UVxni7TIJNW0RUjVPMnKuyjt1o5WHMcmY9TjwVuSfY1oaDa3cmppczkbo+hA65rvG0PT34Nvtz6Ukei28J/dlhU8rHdEsTNsGalOT3pBAUH3qTJHWq2EBHFVpUzmrJbNQuwJpAim8WRUEkXFXmIxVZmAzSGZ8sRzVN4UZvnXitSQjmqkgBNZVaSqwcJGkJuEuZFJ9Lib+Gkt9NS3kaRRz0q5HIA20nipiAEY18liaM8PU5WezSqqpG6OUfSSGJHrVWawdBgCuj9arzpkj61Masrm1ixoMXk2wT0q/exo8lmjjKtPgj1+U1WsCIs/SnXt0Fnsf+vkfyNfTZe/3CZ4uL/iM5vVLKWxnkhZTj/lk/UY9GrOi0zdJvkkwPTdkfpXd3MlvcoEuIkkX3FYl7pNmw3Wj+S/o3Kmu9M5WiOxtYfL8wYcL+Arr9O8RNa2aRbiAo4G3iuKS2urdxl4ZYx/CJMZqYaghYL5E0ZB5/iWqjJIlo7qDxKWePeTx1q1a68fOma5mV4mI8sbcbfXNcPFrtt9pEjiHy1GOVZQSatW1/bSM5kRQD0AlAx+daXEdyNV0+Xh0hb6gUpj0e4HzW8P1C1yPmWbjgyj/AL5ak2wj7kzj6qRSA6ptD0SbpEF/3WIqF/Celyf6uWRP+BZrnBNJH9y5Yf8AAqeupXadLkn680cqC7NaTwamcw3ePrUB8LapDzDdAn2kIqumuXqfxq34VYTxJdJjdGD9GpciDmYn9n+I7dfleRv+BBqo6tJq/wDZlxHfxsIdh52Y5+taqeK2BG+FxVXX9dj1DQ7iFNytjPIrbDx/exIqy9xnCeHtSvIfFBM1rbbBZNHE8P3nTzT8z/7Vd0ddWQ5aNwG4rkfB17Z2nip9um/Zd9gwkdjuW4YS/fFdx4g1nS7PSbidbaKSUDbGNo5Y08RSc61h0pqMDm5r2LU/E8QmP+i2Kh8Y4Mh6Vq2VzbpLcl3A8yXcP++R/hWhomj6VbaTDFdIr3TL5k0hY5Lnk1bfQNHcfK7Jnnh658QuaVo7I0ptJXZz19eQzIsMOXPmAk7cAClsf7Pk8YaWtrA8DCEGRHUrzg4rQudGso4JZbe8DtGDlePyNcGGktPE+li11RLl5vLCyDjy8kjaf1rrwsH7F/10MarXOj211V0KsAQR0NeVeIlt0kmC2744/d5+8cP6dq7ue61OxtXml8mVFHLDqK5rxXzoVhIjh5GcgNtyenXFc8pfupI0ivfRr2bIum2xPXyxkenApzys33e3rUFod9nADuJWMdRwTVgheMnPt2rzo2smdPUaqRliZHLN/d7VZhh3sgYgJ3UGqjXKx8D7390DJ/z9aRDLOMM3kp+bf4Cnzq+gNM2Ll7O3gIBAOOACeayyt1dgLbpGoZdxd26DHp/jV6MWkFvKRMuf4yTncff1qtZz28ssnyB1AwdiY/L1rWaUtzJaGWbFjITOGkZf7x/p2qwIRIi7Y1yBj0H41orDbmITL52z/axioJZoblW8nY3XnPIrL2aiaczZQubaSG2/4+Yw7LjH+1VFVeF0EhRYucsW3MeKsXQe5kkh3lPm+Yr0Ax/OqF/aXN/5UBl+zWse4Nxl3BX/AB9aibSVy0m9DZuZR9nOJnbCn92BgDiuXaXWrq+eOwgSGBZAGlcfwGM9z6NjpW3G6pGqICxGAC30pGzhPNk6Y4J71zVK6vudMKDZlLocUUUcl7eT3l4GhZiHOxGUEbh9ec1tvHFCpFnDHG2VLEcdx3qDcDEMIdg2dutXJ2JtiyxhEwCm78OvpUrEzcZJPQv2MYtaFnYsbZcrn5sseT/9anoTPMojLOd3VunSs17m3DkzXO8gsCFPT6noKyNR8ZiwjdrSBgR5ZDqu84Y469KqMr77EyjZaHe7Nlrumn2IE5wdoH41kXut6ZbFlErysGBxGcLz0+bv+Fed3viG+vJBvkORLcxDLFm+RM8VEJLuSHzJBHGrRWzb5X25Ofm966HXbVkjnUFF3bOik8YS4SK1URB3lj/drgHaO7Hn8q5qfVby6tw+/cz2IlxyWJ34+91NTrf2UFxbo0ryO11OqDG0bupX1rNGrz3NrG2mWyW8b6Z5yYT5v9ZjbkckcVCi5K9/vBz10NJrbF1K80aQqb2J1LSEFvk7Co4f7OSeyWMTSyB5/Ld/lUHvkVbNpAksj3DpEXu4pBk4LHZ6daghhsUu7MxSPKRJMVy2Fzxnjr+tQxXKnmXE9qI4ZVUGwcpFEmwZ3nHSpLnTJvJujI8USvb2wyW5yMZ4HNSqtw1sUtnEatZNtjiXvuPccmi50q5KXWWiRZILcAs3JIxngZNJJoN9x1yqKt2IIJ55Guo8hzgZ/wBkLzXp3hzQpNPSW5vGV7qVywCqFEa/h1PvVXwz4YWwklv7lmead/MSNxxHxx+NdWBivQw9DlXNLc56k76IMYpaKjmmSCFpHOFUZJrsMiC+vEs7cyN948KPU1yzSPNIZJDl3OTU17cvfTtI3C9FHoKjjQLjrmgY5UI+tOK4GBS55PqaC21aYDWwOnSmjJ570oPOTU0aAikA6NABuNWYIfNO9ztjHU0yCMSEyO2yBe5/iqlf35uSIohst16Dpu+tMB1/eee3lRHFuvQD+Kqa8U3rTwcUAUdV2+Su4VB4cbOiR+okkH/j1Sauf3Cf71ReGsDR+ccTSfzpAagXPWlGBSAvIu9Ebb/ePA/CkYFGw/BoAXPJpDzTR1NBZQeT1oHYU49DmuZ8XSy2Nra6gg/49bhJXH+z3roy+SDmq15bR3ltJBMoKOMEGlcdjwj4h6Z9i8Vz3kK5s9R/0qCQfdbcMkfn/OuftbaSWRBGpLMdqj1NeuT6RPZQnSr6yGp6Tv3RrnEsP+6f/wBVaeheG9Gs51ubLTJ43HKvcvkr9Bk0cyJ5RdUeXR9E0xHJxDJDG34cV5H40tZLXxlqiSD783mKfVW5Br3fV9MTUtKltWGcrx7GvONY0ldfjgtdSmSz1m1Ty0uZTiO4TtlvWhOw2jziBSXAGc9sV7/PIwtrGVh86pDv+uBXFeHPh88d7HLf3FvJEjZEcT7vM+voK7fXE2dumw8UX1FY4X4j6k9x4a0KFWPlO8sr+hfJFeboTn2r1fUNL/tfTb7wvLsjv4J3u9Od+A+fvJn868+t9Av/ALY1tLaTJKrbTGyndmqTEz2DwLrMsngZJpmLG03xKT7cj+dct8VNYkZdL0iORvISHz5R/wA9GPTPr3rrdM0N9M8Dvp2CLlleSQDsx7fliuD8Z2jap4c0nW4QZHgT7JeAdYyPuk/lSVhvY5LSNWu9H1KG+spTHLG2cdmH90juK+lYtQSXTIbyIgG4jRos+rgY/KvmS0tnlcYUnPTjrXuF9JLofh3QYnJxAUjl56cf/XpSQJ6HI+PPHd5Bqz6Vo1w1vFb/ACzyoBvkk/3vTGKvfD7x5eXmoDTNVn80yD9zIRgn/ZOO9edeKbWa08V6mkoOXnaRSf4lPQ0vhtZBr1i8ed/npjH1puOgJ6n0tNcbQscbjzm6E9FUfeauDvvi5odrf/Zoba6vLdW2yXIZRn12jvVrXdWlih1mGI/vY9Mcpj9a8CGDgDpjilGKG5an0lPe2mq6TBqFjKJbWY5Rv6H3o0dkXRoGY/xED356CvPvhhdyvpmq6fI/7pNlxGD2OcHH14/Kuog1N7Gwu3jKD7DayToG5+bLf4UnEOax0clzaxXEdtNfWcNy/KwSTqH/ACzUjBoyVcEMDzXzBcXk93dyXVxK8k8reY8jdSx717f8P/ENxr3hvF7LuuLGQQtKerRkZUn6ciplAqMzq5JCD7k9Kid+RuyPrXJeP/GNx4asbO00sLHe3yGZrjGWhjBwNvv/APXrn/CHj/ULrUodP1q5NzDO2xJ5B88THpz3FJwGpnpLKG6VERtY5qeO3kkfaDgkkZ7DHU1xd/8AE3SrfUmtYdNkubaNtrXBk2u3qVH8qSgynNI6wnI96YTTILm3vLWG8s5fNtbhd0bd/oR2Ip4HzetTsNahu4pCMrntThjeueOauz3dmloY7MZlJ+d2HT6fpTSE2ZmeKU8Cmnkn1poOaVyh2PWkk2vDNBIN0UybJF9RQGz1pQM1UJOMlJEyV1Y2/DNpbQaLJatGxtYZohFEr45JwOa9CAWKMDhVUV5fZahcWcM8MJhHm4IMse8Kw6HFX9KGo3niF31bWJLjTvJGy23eWPMyOcLjI61tiMRGT527XIhQlbToaGju89rcyIN+67mOT/vVJcWlzdCZIUQsFx82MA496jstbtbK2lh8uRpBPJkIAP4veoX1W8W6laG2iVZArbpSSV4/z3rwJ06DkpTlud8IVrWijEm8Jatf/Y7S81cWQjSRpRZjbuywwPlwKujwXomn2K2jfaLuOWdZZDcy/eYcDp2p97fXDvDJLqKxMVIbysDdz+NVZZbWWxbebi4XzBnfzz+NN4rDwjaETZYStLWT+41vs3h7SrSaOwtrCJwhz5SBnx9eaRNa8+WAW0czoBtcsu3HTpWXDOfKlENkiARnBbmnW8l4Xj3TJGu4fIoxxUTzGf2FY0WXxS95k8V3q2XCRQRBmJ3MM0y83SSqbnUCh2AERttz+VUTGHd/MndvmPGakmSISp8uf3a1zTxdWW7OqGFpxa0/AmJ06O1XCPMPMz83PzY96fb3ww6w26ouxucVA6H7Ku1AP3nYe1TW0ErBz22Eda53Uk3uXyQUWV/td7IOZNn0wKS6UNeSF3PXkVPFZEL+8cL/AJ96fMlml25d8nPTrS16l80VL3UVXES2Y2qWHmdz7VNYly+I0H3T0X2qWa5tUtV2Rbhv7+uPfNEGouxZFQKNjfyp6EuUnB2RBHa3soG/K/7zYqzNp+Xj8yVV2oAQP84qil3csuPMIHovH8qLtiXjLuB+7XqaLrpqU4zcld2NFUsooJRnedo3fNnv7VCs1jtH7k/98f4ms8XtrHaXbGdSI1UvtOcc1lHXtPU43vx/sVaU38MQhTV3eRlQfEDSvsbWcerOsDDBSVD/ADxVYX2n3DA22q2ajuGcc/meK0Z/Avh64JLabEpPdCV/lWhpHwo8K3lvK8ltcbt2APPbFfXSpnyUapa0XxDFpdqsIkjuEHcSqcflWo/iuYLmKEAn16VkXnwZ0C42/Z5Lq2ZV2go/H/164y++HWp6ZqMltYeJJAE6F1YfyNQoFOa6nomr+IZL3TJEtYs3Gz5Vc4G6uasfEGuTv/Z2pRWMMckfzzRbgyfmcH6iqQkudKhS2vraW6ZY+Z4ujH/vnrWJqbeI7e5Wa0s/MilkAi3spwPTj+tT7MrnieoW+p6hpdvu+2Q6hB/cL/Oo9v8AJrkE8QXLzSNb6rLF8xxEXZGUZ9KqaffPAFOsCSynZSVWSMkYHoRmsjVPELRSz2s2kXVzat0mjBAce3FPlYKSPXfDniu1ksWiv79WuVc9W3YH1pNd1OxutS0aSK5RlinJfn7vFeOaZr2lgLCmlX6jov7vd+tWpde8NXTIlxO8TxNlfMV1Kn2o1CyPfU1CzkHyXURP++KytZ8U2+hyRCSJphKCQY2FeTL4i06XAi18HHGHkU/zFDMblhJFrbe4VoyD+GKGgSPWdJ8V2OtTiCBJUkwThwK2SRkjPNeHWU9+ZzmSW2jVj80IUlx9e1bqW2mOzNNr2qLu/wCein+lILHqJIPpUTLz04rz1LDTShSLxNKvs+alSwu4z/ofidP++qQWO3ljGDnrVN0HeudA8VR48vU7e4T0ZQa5zxD4i8SafdxCWAL8p+a3cKW/A0ho7ySMetVJEx3rh9J8d6hJd+Xe2V7MmwnCxoG/MVtnxhpDjE/2m3P/AE1hP9KBs1JAcHmrFtNJKpVsFcde9YJ8S6LLxHqttn0Ztv8AOtrS5op7QSRSpIpY/MjZFeXmsYujdrqdeDb57FcH5zQ4zikH32+tS7eBmvm+p7CGu/kqretZuo3eJLHqP9KX+tW9YuobGzSWeRY13YyxxmucuNUtL57JbeZJCtymQOor6bLJf7OjxsWv3jN2W544aqUs8jHg8VI/zCoxHXfc5rER3MOTVO+E0VpK8ZwwXitZIBile0EilT0NK4WOU09dS1VwJJJY7VDyScFj7V1SGUKBuyB2IzT0tRGuBUoiNPmFYizjrFGx/wB3FI04TpGV/wB2RhUvlmo3j+XpRcLDV1OZCf3twv8AwPd/Opk1dv4pWP8AvRCqJTnoaaEyehp87QcqNhdSR8cW7fUMtSLcBuiKP9yf/EVlJGMU8xDGapTZPKjZSYj/AJ7fQhHpLqdZbOdBHhvLJ3GLbXNaZcPeQSu+AUlZBt9q1bcuI7hSxI8l+Pwrqws/30TGtH3Gc/4dktv+ErlQG43C3kVlmJC7vMP3M9q6JzDqOvC3+YWtidzcj5pOw/CuY028mttUvb97pbiC1ieFEC4KO0h2xn1PetqzFxa2sMbNG8jOWlY92JzXTi5qjeb3eiIpR57ROnCf885pKUPcKQDMcHj5q5d7+aFYybbdul2/IenvTE1m83vGI5Aiz7ep4X8a8f2qOvlOnimfDKu3a2c89fevP5nmt/ENgzW6QyBoygT/AJaDJw31rqrTV55LvyHBwziEHjAGTXN/2Wr+KNPtre6ExmkRiXVgIySflP8A9avXwMl7GX9dDkrL30egtr1yyyROrcg8N0NY+rTajqkEFssMYWE7RFHkrgq33vXnFa2r6VNpqeZeRqYGbAaJmYKawb2aWGytreEv5ErZKnv86jOO/wB6uKetCXe5vH+IjrIJlhs40J3uqgYX7o49elI9y7NlpNo9EP8AWqlrDLPb2yq/AjHydDnAq5AkEbbeZH9c8V5VOLaVzsk1cRGdV2QRADqWIqZLaWZj5jMTnp6Us8zxx4hRR9B0qrbXUUt2EnuSxPUJz6VsoxRndlq5f7LcbIrd3C/ex1qSC6jQGXyJEfuvc561QaxihkfE5kBbOcYPepFuDCFKO7FQQvzcDpWUqii7s0jSlPY0fNtpZA8pfPQE1RunsOBDaqsgI+cHmqjykth279B9aYpPARNo46/WuepjdLRR0wwfWRMjhFGxFUccnk45qPeG6ZkPH06UMoUB5W9Opx61Sl1i1hVQh8wkqBjheQa5JVKkzqjTjDZF1FkduTtHGdvXpTJLi0tGXzZEViVHqSa51fEF3eyIkMThCsMmI1/hZsHmsqKRY5A93MnmBYdyJ+8YfvjjPb0pxpPqTKtBdTqYNeiu5WS2jLbVjYNJ3/ebOn1rU8RLOuizsJQHMMmABwpC1xejXNnum2QmFUh3NI8mThbnBz26811Go6nBLBKLRpZHWF28wL8vCk/j0PSuiNKThLlVzL2kW03ocp9mvpL5nmkOxbn5TK+PkMPb159KgYLbaWhJnuHFtBuEJ2KcP1BPJ/8ArVZkTzbtZ5pPJBuI2Uz/AClsxngDqetZDvbPpCxqLi8BsIuUfyUYed1DH5v/ANVVTi+VXMa7XO7GlJqskdz5UarGzXVwmyJcsSI92c8ms+eDUbu0e5nMVmstrat5kpw+8SfMCB83StGIXiXbQW8ccaSXspcQLy2YupPXNNt7a/Wzf7SVt82cOTNyd3mc/KOelaJpGO4yCDTLa8iISS6kOpXLIznywjsBkYHJ4pY7wPp8cdms9uracXSK1HKjfjjvVl5rZLqFXgkldtQlCM6+WFO0du9Z/wDaRk0eK2ijEUTaa8qxW5KkYcjA70r3sFjQezhhld5bzyRJe28irImTkJ0wO598VDDHYi+sfJmWdxPcbPMPljPcbepx9aYdORZp3nZrRXvLWRWlkHz4T+EdahtTpqanYqbyeeQ3dz5Q8vYjNxlT34oaAeH1JrHZbeUinT5CqWsn8e44wetd/wCCvDVyJv7V1EsY3ghEMD84dVGXP41z/gXRptZe0kiEEWjpbkOYQdztvb5Q55+tevIoRQoHAGBXbhqP2pIwqz6IXAzS0UV3mAE4HXiuc1S++1SeVEf3Snr/AHjVzWb/AMiP7Oh+dx8xHYVidQMjFACBcEVMKjVfWn7sCmMGI65qPOR7UMeaVASwAFIB6KWPtVmGDzzljtgT7zetLBbmZvLTgdXaoNRu0ZPslv8A6peGP96mBDfXv2hvLiG2BOg9ap7u5pcY603GTQA9eacab0HFKDjrSGUtUGbZfTdVHRZ4o7EwyPiPzZpZf9xcH/P0q5qjf6OMf3q5azcy30lgW2m9gureI/7eAwoEzy3xT401TxLqks8lzJHaq3+j28bkIi9uPX1Nb/gLx3e2mpRabqdzJcWM7bFMrbmhbsQfT2rzxkeKRoXBDodjD0I4NWrCN2uo9gO7cMUCPp8yCNXdxyvG31bsPzrgPG/xCfw5qLaZpsMU1+ozcTygkRk8hVX6f0rpr+7e3awWXjzLqJXz6/8A668M8alx421oSff+1v8Al2/TFCGz0Hwp8UH1K+isNaihjaVtsd1GNuD6MK9IZG3FOM18tRg+YOSDnqK+iINWaTwpZXr4EklvGr8Y5+7SaC5JrviDTNCtVuNTnKRsdsSKm+SX6D0qhovjfQ9cuBbW00kc56JMu0t9DnmvL/iTeyXPjCaMsfLto0iRT+Z/n+lctaTyQTpJExV1bcpHY0coXPpzcOO+Kq3NjZ3bMJoQ4H3uOPxqnpGsi88O22qS4EjRbmX/AGun864H4m+I7mK5Xw/bSlbcIJLgjq7HoP61KjcpysenWVnZ28IazEXl56x4x+lUNeGVP+6P514j4b8SXnh3U47i3ctC3EsJOVkX0r2rUbhLuxjuYWDRzQq6H2PNNRswcrou6x4dtdYVXcFZlwySKcFT6g0mnaXqNuB9o1SS4QcDcFz+YpuuazbaVptxfXR/0S1VQyr96WQgYT+VeaQ/FjUv7SV5rO0Flu5ijQ7lX2bNLlYcx7E0YK7TzxXH3nh280u8ubrS4457e74uLOX7kg/ofeui0rVbbWdLg1C2bMUy5APVT3B9xSahrNvpttNc3Eyw28H+slYZyf7qjuaVn0KvEydG8KabFdJeJohs3XlVkl3hD/sjJ/Wt3XNJj1bSJbNurD5T6Gua0f4laPqmoC1BngdziMzoFVz6ZB4rt0/eDKgnNJ3QlY8e1fSY9WWO01ljZ6jbDZFdsPklQdm9DWz4R8EpZTrfSOkxXiNkGUHvnua7q/n02KNpr5YfIjOHmlICKfTJ6mp7bUrK+t0exuIZIFGFMRBUflT5pAlE4rxPG2m6rbaqY2e1MbQXKj/nm3WvNtR8E3VpdCSwD32myfNDPEN3/ASB0xXvVxbRX8TQSqGVh0rCsPDFjpdzIba+mjjb78CS/KxpqYOJz/hHw5Nouj3E9ygSa42/J3VM96jtpY4tWa1uyFt9SgltCx6Bixx/Ou0vsJYyKnTiuefRYta0R4pMqyzyFWHVTnrT59BOOtjxO80a607Urixuk2TQMQ/v7j2r03wRplzpng3U7tkeNrsr5AP8SgH5q3I9Kmv/ACYte022v3h4S8DGNyP9oVvSQgwCFEVI0XaqL0UVMpqwRg7nkXxE3XkGgaqoJjmtPIY/3ZEbp+tc1pUMktzEsakyM424+ten3Vglvb3ej6jay3Gj3UnmI8PMls/qB3HFT+G/CGladdx38N414YuY9ybQp9TT5lYXK7m1d6jKZdQsUY+d9glMf+9trwIEkD1r3DWRcafqNvq1unmtAx8xAPvIeori7zwDc3M7Xuh4vtOmbdH5bDfGT/CwPpTi0wkjc+G8jv4dv4WzshuEZPbcpz/IV1hPHvWX4a0V9B0U2spBuJpPMlCnO3AwFrU61lPc1hsNBqC36zj3H8qsFcH2qtbf8fM6/wC7/WmtmD3RKeKaehI61IeMUw8VBQ0dKcrUzGDuHSnDk0XAeTV/Tpt1zFEQC24Yz9az+vvSozRyq6HDKcis61JVYNM0pVHB6Ggqz+fc4uCi+a/CYXvSTwRvcHziWwi9TntSQmJg8s8yJvYnlsVNNJbrPlS8nyLwi+1fOThKD5We7CSdnEikSJBbBY+NrY/OpWD/AGM7Itp8wdqWW4wICluclWxvb3oe5uTaEjy0PmDG1e1Z2H7zSJEguGhl3HA2Gkt7VEeMySjduHeoMyyRTebM7ZjPB4qvbPax3EKtKgcsMAtyTRZlOMrMsB7RJGy+45OQqk1JcXMKTLthZ/kXGTisKbXtLt5JFM+9wxyFFJqWvRwGN47dpAYEfltuARmtIUpydooJKMbOTNyW8ka1RlRE/eYxjPb3pIri4kSQNIceW2AOK5+LUtV1bQre50+2BaWdwmFLAqo6/nUNlD4kM12L+KOJBaybC8ygbscZA5rVYWo02zF16KTXU2dyICzyAH3NJeXMMd5MGbJB5rkJGltCovdds4uR8lraySt+eAKg8S6roUev38N4NWuZVlIMaTrFGPyBNbRwS5rNmcsdFO8UdnLqEC2Eb7kVTKw+Zsc4H+NOsLz7RK6x/NiJz8i5/hriX122svCtlcadptpGrXkoRbrdNghV+b5u9WfD/jDWtUvbqG5uB5EdhcOqRKqoCEJHArdYSKi3Y5pY2b0Om8rUJM/6NJGvYyyKn6Zqprtpey3MCLqNjbR/Z4958tpXzjnHbFcCviy4HM2WbuTW14q1r7Pe2sYysjWEDhgemUzXUsMlJI53iqju7mmllaWGg60Xn1K/DJFv2xpDn5/4OW/HNcp/bWip8p8LTsR3kvZtx+uMVqaPrkz+HNcmkdWMRgAJHJy5rL/4SmL+KzBbud9bUaMXKSM5VZNJtnq22t/w+wW1lBZR8/TPPSsE80cV6rVzx4yszuh04rjddjH9rO5BBGP5VEjuvRmA/wB6svWprzKCFXk39W6mo5bGnPcsqyyA7TWfqi7Wsf8Ar5T+tXrK3eC2UOfm71T1UDNpn/n5SgLk720M64lijkA6b1zTo4UjUIi7VHRRT1p460JXJudXZWcJsIN8SMdn92s7XvDmj32mz/adMtJSq5BMYBB/CrFprdtFbxwukgKr1xmnXeq2lxYzRrJh2XAyvWp5dTXmVjzKbwF4elbmw2/7kjCqMnw20Y/ce6jP+zJ/9au520m2q5UZ88jz1/hwIz/o+sXcfpUZ8F67Af8AR/ETH2kVq9FK7e1MIyTxS5B+0kedtpHjC1+5qNpMe25f8RUDy+MoD8+m28/+5j/GvRJUBx0qDYN1Hs0V7WRwH9t+Ibf/AF2gTD3jzVafxXKSDd6beqR/eJOPzr0gpn1qOWIFfuj8aj2ZSrM810zxVZaZctNDLdRu3/PQbsCtlfH1vKPnuoG9pIa6Z7G2lHz28TH3jFZ9zoOmSL8+n259/LFL2ZXtTmJtdjuJGKXNoQf4TEhH6ivSPAzK/hqJh5fMr/6sAL1HpXCXHhPSHY/6GF/3WIr0DwVYxWHh6K3hBCLK/U564ryM4g1Q+Z24GalUNBU/en61aCfJUKj94frVsfdr5ho9tHFfExHbQLQIAf8ASec9OhrzjS7i5g1O1EUY3NIOSSF4z1r1bx5Z313ocC6e8aSrPlvM6YxXnQs/FEHBtrOUDpjbX02UxvhkePjJJVWdZBf6kwH+ixSDuUlq3FfXmzdLp8gP+ya461m1uO6SG40uOJZDgSBuM4zW/FLfxAFrfcPaU16DgjlTubaaooIEltMh91qddVsycMWQ/wC0tY0WqSrw9pcqfVWBqwdftrWJBdNJGD03w5FTyjuaU2r2UcRZJFduyjrUyTgEebhAf4s9KyJdS0rUIcieHHZwmP6VN/aMV0jRTXMEsf8AsEIx/HNJwY7o3NqMODmo5I8A+lZKW9nMMI1wp/2ZQai1DTr82eLC5k8z0enyMVzTEW4npS+T7VzOkjXUuTFdtsKryWTj862UfUh0kgk/Gpsx6GisOR0pHhyMdqrC41IDm2Vv900v9o3CEb7OQfQU9hGb4atZEjuyWXyzdS7UC89fWuhiiys4Rcs0TAAd6w9I1GK3tZlIMga4dt0anjPbmtaDULe6WeOPcG8hz0x2rpwj/fxMqy9xmLbxiTWhYKoMdkWmuSAOZ2ztDe4Ga1TGv7ng8P61yfhO8msPG+oCWJFSVnIct8rruIw39PSvR7zTo1tlvrOTda8blb70Ps3t71tmUJTm5IjDSSjys5O601LlY/mkXbNv4qKzt0iF6kc5I+1E4Ofl46VuBN6j7p+aqkEO1r0mHA+0ds8/KK8g7DU8O6Pd6nqLMjAQwyBpHPTvx9ajTQpW1q3vTeztJZ4MZcAjCn7v613HhG3aDRSx2kSyM6gDnHvWHctNHJKJLYOGPBBwVrsjOVOmuVmcYxnJ3RH4j8SanaNFbHT0u4LhM+YDjq2MFT6dazNe2bdNW3fY2F8xmYAffH/1+K2ZdEkuESdVZztKup421iDTF1AWkkjNAqHo/wB4gMhGPyolUvQbYlC1WyNzSsNp0WHG/wApRuH0GcUyKNo50aXdx/DSW221gihiVmSNVUE98ACkacldue3Rfp6/hXmzxMIKx2wws5O7LV2UnAR2Mar0Ud/wqoPKhA8pBGOxPXtSfOx4+X9TUMktvApeaRRjnk1xVMVKex108LGO+pMX8wg/M545PSkKsyfMxAx247Cs2bXI1fbDGS25VyfUuV/nWPfalcSQHzpkt90ZID8f8syfu9ayUZTeprKUYHSvd20GfnDH/Z/3qyJ/Eqm48iFfmwrYQbmxv2VkPOBFKwYyMGc/Odi8PGeg/CoT/akrErtEI4/d4jTif/4mtVRS3OeWJ/lRcmvZHMX2m48mTdGSjNvbPmMuMDpniqcEkBhtSm6RswfvJ+/zuAQo6GntBDEse9fNIZflhA4/fnB3H606J2h8kQ2Plr+7A+Tew/esOv69K3UEjmlUlLdkVtb3s8EEz3AEPkQN/wA80yJecDp0p1vbJAjlp/tGI1wsRwP9eSDk/XFPFqFt45btniJgXLTOQcib0601W06ETfvJZVCNnc20f6/8+GqtzMnQTSWd9EtnEifZ5cKvzEkTDv1561vXH2uaE7lEReFgiRfeD+U2P0ArEWVprW9CyxpGIrkYSLADB171rzRl5Y0a4MszLtOG6gxvg/0/CvXyxfuqvocmJdpxOZjRlmt21UwxKs9sYtx/eM3lkEHHJbd61D52ipo0bIks0AshtLPtVoxN6Dvu/lU9lZeXGsdxcwKwks2MZfc4ZVIx7E/WqNwI9L0ppLXTzKYbKUD7U4KEednaUHufWuCaTk0dK01NtJmudQWGK5kUfatrxxRcNmLuR/OqZspYLKbz9Vt4GNlGD5uQwYS/eIH5VJDf3V5qkcCWm9FuoFkEKlAivDuy2OvpWYtlaHSp1u9tozacqPHHL5rqBPnoP8axacdy4rm2NprkRXUSxMblm1GQZMyoqHA429T9KzTqurvZxCK1RGbTJZFjgjHDiQ4UEc0kiWC6hCUtJJZDrDHdNJgLJtHIVe31qOGa8udOt7e2zGG06Zkitl2jcHOMY5pKS0NY0W9ydre4ee4N5DaW+by0dGlYgt+754GTuz0q3oujWupa7YxW0NxPLHeXMnmL8sceSNxYdat2HgzWL6WZzbi3WSe1lWSc43BE+bjr1r0/wz4di8PWEkQYSTSyvLJJjuxzge3SumjRlUd3ojKrKEFZasu6PpVpoelwadYxCK3hXaqj9TWhRRXppW0OAKr3t0tnbNK3J6KPU1YJrltUuvtt3hT+6j4X396YFUl5JDJKcuxyTindcelGaUDJoGDEAdeKjLGlc8e9RANwT1PagCRRk1bhiZ3VE5dqgiXaPc9q0XcababiAbh+MHtQBBfXS20RtLZvm/5aOKyiePYUEszEsTuPU00jdkdqLjsIGLEntTh60gxS7ugHegBx4HFMbcBUF1dW1lay3l7dR2llCcSTy9M+g9ay9P8AHPhLUrtbWz1oLMxwguEKBz7EihiNDUV3WoPP3hXLy6ZcXulzzWEgjvrO786B/RtorrdRDrbtG4G4Gs7QDk36c/65en0oA861nw1p/iy8a+sZotL1lv8Aj80+6O0M3d0PvWl4X+H6affxXV/cW8zxfNHBE27J9WNd1caVY6g2+S1SZV6uVG0fjVy3s7azjHlQrGpHGBxU3ZVkY/iTTnvNGkSJibiMiSM/7QOa828WaHL4sUeItJh33uBHqVov31kH8WPpXsTfOO2Kwb3w1bNf/b7aeW0ue7wvsLfX1/Gi4OJ5Bovg/U72ZVNnJGM/O8i4WP3NesavpjL4Tks7YEtDEBF/wGtW202VWDXF5JNjpuwo/IVeeIFCDjHpRe4KJ4Z45sHvza+JLYbre5jWKfAz5ci8fN9a5e0spJ2UKDknjjrXtt14bu7C6ml00xNbXBzNazLujf8AwNTaZ4fhhmE66RbWsg7od2PpxxT5hchntZzaZ4FFuqFZIYxuHvnJFef/ABCQy69BqinMOoWySp9QMEfy/OvbpLZHt2iZfkYYINcBqOkC3t30jUrSe60wvvt5YBmS3P8APFJSBxPKraIyMOOK9tsY5bXwnZRzZ3rbqefz/kaxdB8FaUtxHKl3JeRK2fLMRQf8CJrsNWT/AENx32GnzJsXK7HF+Nrh7rwPcMCT5WpgS/Qj5T+teVdTxXsWr2a2NzL9tRpNI1GBFuNo/wBW2OH/AA4rkH+HuopOr2zxXdm/MdxG4wR71VxWZ1Hwwmlj8P6kjZ2I4dfxU5/kKy/iFevP4Z0LBOyZ5JG92H/6zXfeHdCTTNDW0U5yp3H1J64rh9Z01tU0y40I/JeWEhnsy3/LRT95RUpjs0jzVCdw9a+gfC3iF38GW11cOBNs8oH3Hy5/KvEbTR72S5EItpfOzjy9nNetzaHPp/gNIYsmWH5yR3PU0TCJxfxT1iS78RJYKzC2tIxtTPBY9/5frWH4Q1+bQtchkRm8iQhJo+xX/GtLx7aNdXFprsP7yC6iVZWUcJIOx+o/lWBo+nSXl/bwopZ5HULTsrBfU+h5rqJI0BfbuUsT32DrXiOu/EHWNS1FnsLqSzs1b9zFHgfi3rmvSdXlaDVbK3YkRXFvLAM+pXivCHieCRoJVKvGxRgfUUJIcmz2XwZ4sl8RabcW13t+2QAEsOA656/Wuo0htljIBy7TybR/WvKvhrBKdanmX/VJAQ/4kYruoL949S+yh9u9Z9v+98tHKFzJ1v4mWmmatLY21k94kLlJZnl2gkdQg9umfaur0LWrTxBp6XtmxweHjb70bf3TXzsu7dhwdw4bPrXo/wALrl7e7v42yIDEHI9wf/r1EoaDUz1KU20FrNc3MkVvbQLma4nPyx/4nkfnWfp3iTQtZd7fSdTjmlUZ8qSMxswHdc9a4j4n6vNP4f0KGFiILppJpcHh2B4Feb2F3JZ30NzDIY5omDow7GjkVg53c+hXG/73Q9c1Xj0SCORbmOFInc8ZkEe/6DvV6wngnls3cqDcRicp6fJux+f8q8B17XbvW9bub+5mZmeQ+WM8ImflA/DFSoDcz3h42iZkdCrDqDTAM1zPw/1ubWdCe2u5XkuLIrtd+SYj6nvim+OPFbaFp1qmnELeXi7xIwDeXH/jyKlQuyufQ6sDIIqjbnF5OP8AZX+tcD4T8fX0+qRWGqTCaOY7ElIAZG7Z9RXf2/8AyEJ/9wfzquWyFzXZOw5ppXAqUio2rFmo0d89Kbt5pwGTQBk4pIYi8U4jnimZ5PrUgbAqriJIJBG3zDPrUl3fC3lZvJkfEange2aq9SauxXzpYTxfLlY2KZXPbpXBjKHOudHbhcS4e6zFvvEk32WwmtLUyGdJNo5OMNjtSifXrrQppHt2tpjcIE3rs+TByfmrE1bWb9tH0p1upIjLHLu8n92Dh8dFxUdpM83hS5eV3kP2+P5nbcfumvN9mkjt9tK2ho2CXLrqH23WLX/j0kBVJvMKdPmIX0qhog0qPxDYKNQu7qUzpt2QbEznuWOcVn6GQF1b/rwl4/Kq/hznxVpn/XzH/wChCtVFakSqyfU1pLzS47qbydK3yB2y1xOWyc+gxWtrPiOysLK0t2l+xXM9vGVkht1kEeEzyGHI6Aelc3Ha3Fzf3AgglkJkf7iE962vEXhuXUtOsmDrazwWscZ8/CIflG7LHoRj9a6MFy+2945MU3yaGDLres33wshuL65lZ5759smcMUAHGR2zXUfDCBHv7R5gZVaAqyPyD19awxpsI+HNnYahq+nQJDdykTRMZwuQDs+Tqa6PwWbTTWjms7uW8EVuSg8ny1PqeTmvdhUpLDzSXc8ySlzq56bP4c0a9OW02NO+Ubb/AOg1yPiLwZoUqz3NxLieRDK25V2p7sx6Co9V+IyadGgk2rNIQqQg5PJ71zL6j418R+J9R0jRIrdbW2nZGlaEbU56szVz3bmtC0rLcy9U8P211oNnZ6S011Ct3MVkhiYgnCZwPSptC8C6ppF3eSzGLbNp88a5lGQWTAyO1d5b+FvEMcdhbTzC5lLM1xcNJhYwccBR9K6GDwhFaqWkuCS/yHYuODxWU4SlFpF+0SaPB5fAU9om6/1i2iA/hhglnP6ACrfixPD1vq1v/aI1W5kSyt1C2ypEpURjBJbJB/CvoCLwzpsIOUlk7/O5Nea+MFjtNN8R3z2EcphSBYUmXhcsF49/8KfspOauwVVWehwNlq2kReEtbn07QgscctuGjvZ2m8zJbGRx09qxP+E4vhwmkaGq9h/ZsZx+dbPhXS7nXvDPimCLyf8ARjFM3mHHyoHJ+73rn10G7mUSRaVqDRtypEDEfyohSs5epXPdI9uz7UZpoNGa9U8geDTj0qMNilDcUihTWRq44tj/ANPMf861C2TWXrPMVv8A9fMf/oVSUi4uM1IBUScdeakFNbCYp4en5yKjPDUbiKBWH5zSZpoNGe9AC+/amd6XNMJBNMBjkdKiAyalbn/GmYxSAaRikZcrUpGRTTxSKINnfNRPH8p4qyaYwytK4GXNGPSum8NrjTAP+mjVhSqOa6LQB/xL/wDgZry85X+z/NHblz/fE+MSH61YQfLUJH7w/Wpl6V8jJn0ZQ1tQbBfaQVzpG4iuj1s/6En/AF0/pXP4xX1OTf7qjwMe/wB8ySw02PUL6IOD+6ywx9MV06+G7Rl+8wrJ8PD/AImD/wC4a65O38675rUxhsY3/CKQOTtk/MVC/hBzwjoa6mJQADVhRk5NZ8pVziW8FTKm0Rxke1UpfBM3e0Uj6CvSVp3frVcgcx5S/hGWI5+yyKf9nNQT6BfiPbDdXlu2fvLk/oa9dpcDuo/KjlFzHjEWm69A4D6vJMgHSSJc1YWHU424kjYe8Yr16S2t5Fy0KH8KiGl2T8NbR/lRZjueTz3mqW8ReOxt7hh/CGKE06DVL54Q0mmmF/7vm5r1STw9pso5gA+lR/8ACKacegYfjRaQXR5el68GQlrJGrHcQmCCauWl9HMZkCOsnkP96MDt6138ng2zf7srj8KyNZ8NR6Vp010ku75duMetdGFTVaNzKs1yM8gtBpqeKrppLuSHiTzRLwm/ecAe2DXfeHtZttOgjt/tcNzCV8tlaQEOvoa53QrKG48XmFb2O5MkMv7plH7lvMI2/wBfxrrX8HzQqVFvGdpyQMU8bOUK7aWhVGKlTsGpaFa28aXdpNN9jkfKnP3G/umsmK0dTN/pjANLuX5c5GO/610dnbXllDJb3tm09nIu2WIjhk/+tWXN4NBul+xTYs5mzHMZWXb7HHcVy1KSa54FwnZ8sjW0jUNQOn3Nol2qRQo0gkjU7/Yc9s1x0WoXC+KbBE1W5urOV4xcOTxHnOVP+NdxbeHI/D1jdz/b5riSVPJCs2V9f6Vw1rcS3E8xeKKHaI0Aj/iUA/qa3UvYYaU2r2NKFH29dQTseoajq8FtpIkglSaTcBiNgT9axTuEUBJV22/eHTqK5aNnTCq749NxrbvLqa3gtVggwCMHccBeV/xzXg18R7akeysF9Wnq73Lhzty74H5VRn1eytTtD72weB9Cf6Gren2y3NnDNO3mNIiswB+XOBXO66vk6z5NtbRqdq4KJnGUf8ua8uFRSlylTqKJPPrF1cPthjEce7G88D7w/oayWbzYy01w8zbDwvT7nqfz6VHO6xXKG9uVDEjC53v9+Pt25P602C6Lw/6LAQhj+WSf73+rf+EdOnrXRCDWr0RzzrN6Iv8Am3AuHESpGQ4+4CW/13OTz61Uez3IJblom3JyVIZm/duD7VZFu7NJ57ZQMxHmEKP9YDkL6/hUX9kWzOGW43k4+U/Ip4lH1/i/St4TTdkc8oPceVxBL5FgrlQ5z989Iz06c/0psttNO7tcCUIN/Mj7RxLkcfT2q/Amq2cM39n/AGEl4yFyzcfu0xz9R+WKoNoOpzTSNI0Sg+cvySbmwXBU/wCTWyT7GdgmWyUgl53Ic9to/wBf7jPWpzO5YLaymMgjKxx5/wCW2DzUlzY31pcswtLuWJvMbcN0mCZVIG0cfrUU1zfnzIksZGUMxLTLsTiYD2HTJoV1uhWQrq8UQaW+hDeUwZm+Zv8AWj+nFRXEyRRXBjht7jCS/wCuYIP9auQQP8acLWGSIRzLGyBZ1OyP/pqGHPHpUsdrYTRyrDbbWcyfO/ON7hjwfcDtWsKU57IlyiupEZ52tL5Xs0MIW7yIxhSV2kZx3PNaCG2eS0jhRsFlGSMDBVgR/wB9VRuopFJy7yKd+dxz8r4yMdMcelTtuaJVJJAGRk9K9bBRlQhJS+0clf8AeSTXQyBo6hIxNK6sotWIhTzDmNj1pG0opE8cNgJf3FwgN1L13Pu27Rxg1v2ml390w+zWsjjuxG1fzNbC6Db2sW7VL+OIn+CI5P51lLDKTu2aqtbocfLDffbreWW5WO3W4t3KI20FFjw64HXn1o0Twhqd/ZNbvGsYay8gyhTt3edvzzjtXUS65oenMv2CzFzKv/LST5jWNqXjPULliom8sHokXJo+qQ5bB7eSlzI208J6RZS+dqd+N63P2lUV/utgD+lA8R6JoqCHSNPQmMbUbb0HXrXL22mazqr747SV1P8AHNwK6bTPh1PcOp1G92qescVXDD04bImdact2dD4Tn1DW5X1S8Oy2UkQxDox9fwrsB0qC0tIbG0itbeMRwxLtRR2FT1sZBRRTJJEijaRzhVGSaAKGr3otrfylbEsnT2Fc8vSi5uGurp52OBnge3amqdwBoHYeOKUnHQ008DPf0phO40ABBPQ09OTg9qaoyee1T20PnTYOdq8sfQUAXLOFEVrqY4RPu57+9Zl3cvdTtI+R/dHoKsahdeZJ9njyscXBX3/+tVPbnrQBD1bA61Q1rW7PQbD7TdvgFtqKOrt6CtE8HPevO/iedjaU0gLRfvQB6t8v9KQzY0nxxbalceTLAYM/dbdmuiu7v7NaS3AP+rQsD+FeMaXDd3cwEMTkjvXrU9pM/h5rab/Wtb7fzWmB5r8XdWnEml6LHKfs0Vus8i5/1kh7n8m/OvMVkIbOec5r0L4i2supaNo3iGNdwEH2O7A6xyoe/wCv6V55FGXcAdaCT3fwJ4ml8R+FZIbsl77T9qPKesiH7pPvxitjTpxFNdQgkPPMiLg8/dJP6CuQ+GOnT2uiarfSRFIrjZFEf7+08kfnWubo23iKzduIvtaI/tuQgfrTA8/8deMbzVdXnsrS4kg0u1cxRwxttDFeCzY681X8KeONS0K/jSW4kuLBziWCViwA/vLnoRWHr1nNp+v39pOCHS4k69wWJB/I1UtomkkCj1osFz6ghljeITI4eHbvDD+JcZ/lXGeOfG3/AAjIitreCKbUpl3nzPmSFc8fU1aguZbLwFZs+dywRb/pkf0ry/4jmQeNbsvkq6RtGfVdg/rmkkNs3tE+LN8t2sesQwzWrthpYk2PGPUAcH6V6wkqTRI8TiRHAZGU5DA8g18vxqzMMV7f4Nv5E+HySyNloBKit7DpSaGmdNquuadomnnUdSneO3D7IljXLzt3C+3/AOusDTPijoGo3gtpLe4sAxwkshDp/wAC9K434rX0j6npVnvP2eOwSVR2y55/9BFefK3zDHWi2glI+oXZkfa33h+tQXAiKs8nkxxx8ySyuEVPxNc34M1d7zwZbTz8vZ7oWJ/iC4I/Q4rlPiprNwU0rS1lYQm3+0y4P33JOCf/AB786SiU5Hoenatot5MYtPv7S4kUcxxvyfoD1/Cl1na0B290NfOdrcSw3Ec0LtHIjbkYcEGvdrDVX1zwta3z8SujJLj++OtHLZhzXR0Atbe80qFZ1DL5K5z6YrPsPD2k2mTCJVQnhNzBB+HSq99rEWneHZryTaUs7dWCn+OTHAP6fnXjE/i/Xpr77U2qXKyZyAkhVV9gvTFLlBTPoxVQJgAY7Vh6v4Zg1MrOjvBcqcpKnVTWZ4E8UP4g0lhcYF1AQsmON3o2O1auu61FpOlXmoTLuhtsKqFsedIe3+felZlOSsO07RriJg13cRytjG5YtrN9TW6YIprdoGUbCu3FeO2vxc1X+0A91Z2b2Z4MEa7SB7N616vpt/Bf2lvc2cvmQ3A3Ifr2NTKLQRaZxtz4VvLCSWG2t47/AE64bMlpKeAfVfQ1o6H4UtrE+d/Z/wBll6HdJvb6D0FaHiPxNZ+HLRbm7dlVjiKOMAvMfx6CsPQfiVpev362kkL2U8hxH5jAqx9M+tNc1g900vFOjvqNirW7FLiEiSNvQivPNQ0Kz12/8+736bqLYEyGItFN/tKR39a9e3jaWc4CjLZ7Cs++1XSdIVJtTuYLIS/6sPy7e+0U02EkjK0Pw9BoukNHCMnG5pCuGb/6wrF1O1uVP9o2gLS2dwW2j+JcDiu5+1W97phntLiKeB0O2SJsqaz9IVC16rrkGQcf8Bp3dibK+h5TqvhJ9Svn1PR/39pcNvaIcPC56qRXZeEvDTaTp8zTKPtE4+YD+AeldLD4c06a6e6htWL5+Z0yA34jrWiUWFfL2bGHb0qXN2KUFc8x1HRX8QeHLnSEz/aujzPNbRHrNE3UD9a4jSdBvL+9jtIoH+0O+3YVxt57+le16joUN5dR3sUjW93HzHPGcMv41etluQm25ullYjlliCE/XFNT0E4amHeypo+t6K7NizjxayHtjbtzXjWtaPc6Tr13p88ZV4ZDj/aXsw9iMV71qul2+p2L20mCrVjjSHu0htta0231JYF2R3Zcxy7ewb1ojPuDgc58PrOSLQdUu1Xb8nkof7x+9XNeNjJd6dol9glFhkgZvRw3f/PavZEtoYLVLW2t47e3QfLEg4FcXqehCD7TZ3Vs9xpd0/m/uvvwSf3l9qFNXBwaR5do1tJNqtssefM8wba93sznUpAepi/9mrntA8I2NjcxXqGSVkOULps/HFdDbjbq7/8AXLH6027glqWn4aoSeamI3N6CmtGAa52bEWeeKaTTyvNN6dakqw09acKZ0NKDg0waH0pXchU9GGDS9aAavdWJvZnM63o6QafpkM9/a26xLLzKxyQX4wADS20WlQ+FLnN/PPCLyMu8MG07tpwBuI/OrXirTTf6Z9ojBaa2ycDuvesG0bHga99Pt0f/AKC1eTiKXIzupT5kXtHudJT+0vs1lcPtsZCxuJhhhxxhR/Wo9B1pJ/EWnwQaTp1srToCyRl36/3mJqh4fR3OqqiMxbT5QMDr0qz4X0LVE8Q6fcPYXCRJcIWaRNgxn3rNpJO5oydtc1U3M0S38yRh2AVDsHX2rP8AHkyPNpZZt8gsV3hiSSSAd1aj6LLHcTPNeWMQZmOGuAT19FzTvEmh6TfXFrc3+rSQJBZRxnyoS27jqCcda2y+UVW1OfFaw0MOytRqXwxsLS1RvtC30oJJATovJ/StfStQg02xv7O2lWa6tdOlkZx93ioLnUdCs/CdlHptnfT2bXUsar5ohZyFTJYgHit/4c2mk3+qyQjQra2WWLazCV5S6n+Eljj9K9b21SVKUYx0ucHKoyTbMPwV8O9X8YXsesarLJbWAbcJG+/Jg9EB7e9e/wCl2lhp9uy2sccKyOZJMcbnPJJ9aljtoYkChcKowADgAfSiDyUiTCoDt9KfM3IjSw5biMTvg7sgfd59aJ5iUXbE5O4deO9MFzEtw+XH3R/Wo576E+WA44cUr6PULalvdMR9xFH+9mvPPG93a2OhavcX9rHcW4kj3Iykhzu+XIyP4gK7W61e3tYS5O7HYV5l8Srxrrwzc20aMHuJkbO0nplwBjr6VMmnNJspXszE8B32ta1pWux6Pa6VZTlo4QyReWightzccsfTNdAngbxMyKZPHGpByOQi/KPp81Ufgxp15bxazLeWdxbGWWIp58TIW4bOMivWNpHGKz5UpPlL5mkjzcKwx83P0pCH9RT+lBr1DzSMs4/hB/GgSt3U1IeaMLg5Bz7UDIjJ7N+VZ+ryBbeItni4j/8AQhWiRg1m6wc2qf8AXaP/ANDFJblLYuCQdc1IG75GKYg4p+0Y6UIQBqTdmlCLjmk8pcHg59qLCuKDRn1pnl47mkKHj5jTC6Hk5FNJ5FN2t/epDvHPBoDcceooxUeW9P1pctn7ppXGhxpp5NBPsRTd3WpGKRio2p5dR3qF3GOooAhcZzW/oX/Hgf8AfNc6zZro9AObEn/bNebnP+7fNHZl38Yt4w5+tSL0qM8SN65p464r42TPpCjrQ/0SP03/ANKwT1rf1viyX/roK54tmvq8l/3VHgY/+MzV8PDOpN/uGuyRMKBXG+HedSP+4a7VBheK9Ce5hDYmReBU6dKiQcCp1FSimPUVJtyKYvUZqQc1YCYxQKfim7c0CDAxT07cU0elOQ0rAydRUiimL0qQcYqkIdisHxf/AMi9P+Fb1YPjAf8AFOz/AFFb4f8AiozqfCzxrR4J9K8bWOo3UkRtpzLKpXAKJ5pU7vXmvXrnV9PXe+9FjPHmP8or59J3+JHRUeNvNf8Aedm+c9Kv3hvN7ebPJIPVjmscwxMKdW0juweAqVqfNFnomr/E/RLFjDaXEd1L0OCQg/xrK0Txhba1NNYSukRm+ZUibr7r/tCuDfDQtE8cTq396ME/nVrw3oq33iTT7ZFADzKMrwVGcnn6ZrmpY2PNY3q5dKMLs9wmsI9N8OQ25feVhyXbqXPU15Popw18SpYCcdf4eGr07xZesLm2t/uq7cA/xYzXktjdW+nNexTylTNKWUjkHg12VoOeDmo9zDAzUMVFyfQ2U1rTS6qLsAk9xW/qMttIttuuo3CnG4nOTla8f0ywVL6EzzSH94DtH1r1G/KrbQme3ZSJchI8Y6p3+teWsDTnh3KL2Z318dVjUSmjWi1zT9K0WBnl3lYVKxr95hgflwa5fUb7VtVvhIYTaQMwUlm2hl/er369FPHrWvoFzYwXLRXuliFuCsrLuRRtHUnp0xUfiVYX1mORp1AIi2qoyT9/8Oa8ZQjQm1Fa9yG3U1Ziw2Vnbsrs7XExILEcAH913P8Aug1pRNMy/wCjxhDt/wCWY5+6/c89qpwyQxonlQ5O0cynOflj7flV+SOdl/ft5SdMOdg/5aDp+Xas5ycnqUklsRNGgmmM0yrndkD52+8hrUiZd42r6fePu1YrtbRPIzM8p2yE7BtXoh61btNUaS7MMKFz5mDsXoPNZTyfTFVSpub0NqdaNL4jSdHkjG/lSOc4x92pkiiAJAZvvfdX+tU4nfyke4ILlVygOdp24IJ+vpVe7unkARjhf7q8CvRoZfUestETWzCil7quzYfUBAGaCTMhJ/1bnj8TVa61i7lhK+e4U9UBxVIL8gyccdaie5t7Xa1xNGsbf3uor1qWHhT2PHq15VHdlpfm8p8Z9Wz0qf8As68vJAbOORnHUKvB+tUW8X6FaFBDa/aZP+mjcflVa88faldOsdsVgT+4i/4VvYxudPH4eRVE2q38dpt/5Zocsaim13QNKXbZ2y3cy9JJPm/+tXK2+m69rcpYQTvn+OXha6LTvh3I4D6jeeWO6R8UwM6/8aanersEiwrnhI+TVC20/WtZfMdpMwP8c3f8K7+20nw3ogAjhR5R3b5ia0VvbyZcWdgUj7PJ8oouBytj8PnkAfUbpsd44+BW5BpPh/RFyI4t455+ZqttY3E/N7fHZ3SH5R+dRmfR9MRmUJvXufmY/iaQEn9o3Uy/6DYM6f33+Va3NMhuY4N93IHmfnC9FHoKyNH1MaxdlYVxHGA0jH9BXTUAFFFFABWJr11iNbZDy3L49K2JZFijaRzhVGTXHXU7XckkjNy54x2FA0QgY4pyHDe1NA2gAduKQdfekMlc/KTTAwP1ppJ6HmlAoAmTnAHWtC5b7BZCNT++fkkdf8io9NhALXDkBU6Z6Zqhc3BuZ2f16ewoEQxjrUpPFNBCKBio2elcqwpOaz9V0mz1m1+zXke5N25SPvKfUVceZIojLI+1V74zn2+tYfiPxbpXhOKM6q0st1KN0dlbkbwvTLH8KFqI6PSLbR9JsgyWatcY2hccYHTmobhjdStI77SzbiB/KuW8P/Efw34ju1slS40y7kOIxcsCkh9Aw7108qtExQ8MDgg03caON1OwudKuruazsl1HTrvi806To3+2vvWNa+EfCUt2JoItUTdybORWAT/Z3Y6fjXeST7WkUYxjczMcKo9T+VY0PiLw5cXwt01yxacHhd+AT7HpU3kGhrCNItM8qGNYYo0xHEowFFYc+mLqi6paFijNHGyuOqsOhropRiCRSMcfnWbpHGs3m7oYlP61S2BnD6ro9r4pCJqMq6b4hgXy/wB4PkulHRvf8KZonw7aG8R9QuI9iNny4myZP8BXpFxp1pqMnlPbidh1Gzdtqxb6VFp65S3VAe4XFTdhZEF/YJe6TNaN0kjK/SvMNc0WbxLpccaKf7e0tfJkgJwZ4uxH+fWvYCcr2rF1XQ7K/lWaQNHMn3ZY22uPxFFwseJ6Z4W1ea5VP7PnVs/N5i7Qo9ya9mstEisvDR02L7vlMucfeY9TVi00poMGa8uJh28181plRgKOgocgUUjyfxTp0/iDwpZXsERk1HSN1reRL9/y/wCFsfh+tcFZWbXDrtBOWwAOpNe73+iTpqQ1TS5/s13jD/LuSQejL3qSztZzN501lp6T95YocE+9UpoXIVtJ0Y6X4MWx2lbmWJ5ZVPVXYdPyxXnXjeGW+0TRtXVd3kxGzuP9h1Jxn6817Jt+U5OSetcnqOl3Gm3U89raR3lldf8AHzZyD5WPqPQ0ubUHE8VtoGmlAzgete16BZNpnhC1hY7mZWmORg/MM4qjpnhPRzdiaLSbuAg58u4lDID+fNdZdx4twvTtT5kw5dDhNYdr7w7renjJlWGG5QeqrjP/AKDXlaqWPFe03el3CWtlrFigeeOMxyRHpLHk5WuXPhHTL+8aawv1s93P2O5T5oz6D1pqSFylj4XQTxXd9NyEEar7Zz/+urXjO7k1DwJvUFmh1I+bjsPmrsvDmhw6RYmGJizN8zyHqxrm9VsI9NutRtb/AHjSdTXDyr/ywk7P9Km6uO2h4+ASepr2LwNqVxY+BLiR8ARyv5Td8lQf51zifDS9iRpkv7KZdwEfzYLqf4uld9Z+HltfCb6aufuk59WPenJoUUzzz4nXTz3mmEvujNqWT2yf/rLXDQyOkqMh2spyCO1eh6hpE3iPRRZIudX0wkLEeDNEeuPpXPaR4Sv7y+SA20qPn596EBB3JNNNCse0afqX2ux0ppz892kbPnv8uf514f4t1ibW/E19eTHrIY0X+6i8AV65rkf9kW+l3cCMYrF0DD/Y6H9K8x8ceHn0zxFJNb/vLG9PnW0o5Vs8kfUHNERyNP4ZaxPb6y+lls296hG0/wAMgGVI/lXpGnXAju7iDgGaRFz7Y5rzf4daRLJ4ihux/qrUGWRu3TgfnXS6jfPYa1bXBz5SXUfmeykf/WoEcX448V3+qeIrmCO8kSytJGigiibao2nG7juetdj8OvFN1q9rNpeozGe4tk8yCVuWKd1J744Nea+JtOl0/wAUajbOrfLO5TjqpOQa6n4aWcqa5Jc7GCR28m9u3PAFJrQaep6J4n1aHw/oVzfvEkssfyRROeHkOP8AH9DXmOmfEvWE1JW1B47i1ZsMgjClB/sEVpeNbi41Dwru6m0vyJR6Z6fzrzm3heSQcDikkrDvqfR8DfaVR4TvjYBlI7g9P6VzPiX4hWfhjUP7Nt7FdQukA895JSqITztGO+Kl8P3stjpOgW82QJiqHd1xzt/mK8c15pT4i1Ey58z7VLuz/vmpjEqUme6aNrtt4i0tdQswY8HbPAWyYW/wrTm8m2s5Ly/uorazhXMssnOPQY9a8p+FtzNDq15CxzBJbM7D3XBH9a0PiTrcl34W0yOP/VT3Ury+7LjH8/0oUFcOd2O103xHoGuSNBpOoNJcL0hlj2Mw9V9fpSxD/icH3jP868E0q8ubHUre7tmKzQuHQive5LmKLUVuT8qSwBh/s7tv+NVyi5i2yeXH5kjxxxdN8jhR+tNkR12hhwwyp7GvIvifrM974smslkb7LZhY0jzwDtBJ/X9K0fhnrtw9zNpE7s8DJ5sW452sOoHt/hUSgUp6nopBzzTCKnYAioiK52bkZGDQDzTiM0mKNhkg5FKRTEPNPq0Qx454IyO9YepP/ZOhXwtrGzgjS6i8rEW4MCp+Y7s81tjms/XrKfUtHktYD8+9ZFX+8R/+usMTS9pH0NKU+WRzujeINVuhqaPeSBEsZHVYwECsMYI24qj4buJ7nxTpjTTSSt9pTmRi3etHQNBlgfURNeWSF7KRCBcBymcckL2qTQY9EsNfsIYdYjubtrhB+6t2IJz0ycYrhjT5r27HTOoomVf3FtpjzzXTgybm2w55PNZvjWeW61K2Eknl24soHI/hBKD860msfDtzfTyXNtq9xJ5jZMkyRqee2MnFL4u1bTbG+hEehWdxIllCQbt3cKNowuAQD9a7sO6cZqNNanJUUmry2MuWWP8A4V1Z7OAbybHqRtSu5+GTtHdb1DBki5ypwOnf865w+J9Qi8CW17axWlnI11KgW3t0VQAF6A966nwVqd9esftF480hg3/O2ccr/D0rvjKr9XloranO1D2iPSTf3Dfx4B96Yjyv0Zj7AVdgii8pWCLuKjkipojiNRntXPyScldhdJGZ5cxcYRzxz2p5t5mVR5e0lupbOK0UGZG7nArK1z+0bmGSysrOU748+cPlGc9AfzqXBKL1Kvdla/vtMtonjmvImk6eXGm45rkvEF7ql9DNYabc3FowKOJYHw3QcegHP6Vt2/g3VHhjSYwIF4+bmtlPDQ+0GaWbj+6oocY86Y09Dnvh1p99pyai2oXNxPNM6MDNJuIGDXcqzbRvzu71BBZpa/6rJB9aeQxJ+Y0nu7COBJpvejrR1r1TzRQc8UE0maQ80WGITWZq/NoPaWP/ANDFaRrO1YZsj/vp/wChCkUi4nSpRz1qNOM08HrSQDv4RSUo6UEcmqEJSGlIoJoJsIaaaUjNIaQ0JS470lFIY3qaQrTieaQmgaI2GaryIuOgqy1QOOKkZSZQGPFdJ4d4sWH+3XPuOa6Dw9xaOP8Abrz84/3V/I68u/jF12xM496eG5FYN9qd5BqNwiJGVWQgZX3qA67dpybeM/nXxrpSex9IjZ10E2Ix18wfyNc6QQDz+laL6nJqemSO8IjCTAAg9eDVA96+qydWw9jwcf8AxTQ8OMw1T5gMbD0ruoxXC+HDnVgP9k13aDgV6E9zCGxYQZFSgYqNBipRxUoY8DvT80wcd6UdRmqGSjnGaUimZ6elSAhhQSNHBp60wipEoAmWpBTFFPxVCFrC8X/8i5ccelbuKwvF/wDyLlz+FbUP4sSKnws+etOtReeNktg8iGS4ZSSOF+c9K9PuvhxOxcJqA+UZ+eE/0rlvD2jRXXjayltdQV3VZbmaIjJiKSkbPxBzXtkqyb5fmU/L3FY4+jCpWvJHZhsXUpU7QZ5RP8MdQ3fu722bjPIYVSg8FeIbG9E1k8Qngb5XjlAIPB7+xr2ICXd0T7tVI5jBLeSSIuxSCef9hK41hYNrlN3mFW2p55LPr39rWd34g8tJEQw26oF+csDljj2rz+7067jvkieGRZJpd8abeZFbOMV6pp8ba3d32tzRsbeCN4LTcBhj/E/8gK5G1a3fxjoXkXE1wqyQ+Z5pyY27qvtXvYeMYUXBeZ5NWo5VVOxzh0q/tp42ms7hAGGcxsP6V2t0220X7MnmDzD/AKxNxPy//Wr2JhGVAI9cAivJNQtryeGSOMru3MBtbaB8rdfxxXm06KhQmu9jtr4l1qkbrY3jpdtquiR2t9HvDR7SejDjH8q4/UtOXRb1Y/3l0WlR13PtChpWP6bq6yLU47WxSJB5kqrjjhRWJdzve3BlmVdwAAwOleDQwdeU3zfD5nROtBR03Mixu5riyV4kEC+WuQq7MfIh6/nVwrCSWeXdz/ANx6v/AEYUeVucJGhZz2AqfCWT4KCSYd+qR/4n9K7Y5ZSvdsyeKl0BbO3CLJKuxWUkeb8zOCAvA6fw96ZLcu4kihzHF94oBjOT3Pekcs6szsS57k80zJ8sjOc9q7KWGpUvhRhOrOW7JI8mIAHpRcyAKhwPxqIn/R2JPXFMCtJtDkha6DMhv9QEFu+OZVA4rjZ7LVPEM/l2SPIwOSSflBrstVjEkCrFEZG3Ywq5JrS8O+G9c+zKVtBaRs5ZmmO0/wDfPWgRnaH8Oo7eFJNZvlMh5McR4H412VjBoGlgLBbIz9gFyTV2Hw3aRgPe3Us7+m7Yv+NWmvtO05NsKRxY67VoGPW61W6AFtZrbQno0vy/pT/7PYqTf3zv/sRfIKwL/wAZQw5Eb5Pt1rm73xPfXOdhKL/ec7aQHfm90vTEJRIwfXqfzNYN/wCP7aMkQ4yOpPNeeXOrpKxSW6kuJW/5ZQKWNXtP8N+IdUjzYaI0Ef8Az1vD5f8APmgDWufFeo3+fs0TlT36Csa5vZfOC3V8qu3Aij+Zie1dZpvw0do/+J7q8rjqYLRtqj/gRrrdB8JeHtKnBsNOh8xPmMsv7x/zPSgDR8L6Qmi6JDb8mZ/3kpPXce34dK2qTHPtS0AFFFIzBVJJwB1oAxtdutsa26nBblvpXP8A3Qq571Pdzm5upJT0J4+lQEAmkykOwQKjBPJx9KkJqNvvZ/ShjACpoELyBFGSxwBTQAa0tPhWKJ7mUkKBgEfqfyoQhuqSi3tUs4z1HzY/z3NZCnvmpLiZ7idnY8k1GeBxSGhS2aj7DmnHAHWoWbONvHNSxoge4/4nOm2x+67u/wD3whI/z7V8++OdTn1Pxpq087ZYXDxqP7qodqj8hXtniSaSwS11WJGc2U4dgvUxn5WH5GvI/iTo5tPEkupWyFtP1H9/DKOVLHlh+dXEhnII5B4JzX0V4X1ubWPCNlf3J3TrH5Ujf3ipxk/hXz3aWrzyqqIWJOAAOpr3/wAPaS2k+FYbIptm2Eyrn+M80SBHF/EHXGXwzYwRErJqTvLKwP8AAMfL+q/9815aD8w9K7/xdpz3Hg+yuUy02lzyWt0ufu5PB+nC/nXAxozEYFNCPWfhp4lub6GbRbyTzBDHut2P3sZ5Unv1H611iT/ZdTnKvtkeJI0/3mbA/wA+1ef/AA00+RdUkuwBtSFgfxxj+Rrrdbufseopct9yFoZX/wB0SDP86B3ZznxI8WXVvfnw9pk729tbKv2h4nw8rkZwT7fqc1yOg+LNX0K+Se3vJnTPzwyuWRx7g1P8QLZ7fxxqO/7sziZD/eVhkVzqISaBXZ9NadqNvqmn21/b5W3uI/MUMeU9QfpWJ4y8YJ4X0W2ntIVfU75cwCVdywx/3sevP559Ko+FVnt/hzEScN5cxT6c/wBa4z4pTNcTaBcrzBLpqbPrubP86ENkdh8V/E9veK91dR3sJPzwSxLg/QjkV7BpmpWus6Zb6jY5+zzjIU9UPdT7g18yIATXtHwsmkXwtdI2fKiuty/UqM/0pNAmddrer2Oh6VNqV85+zxHYsaHDzP8A3R+v5GuFh+L9s95tl0Ty7QnAMc2XUevTBqn8S743Hhfw6FOUkM0jH1bIH9W/OvMwCTTsguz6Yt7m3vbWG7tJRNbzLujkA6ikvriCwtpLi6uI4IYhmSWT7q//AF+a4j4WXco0G9t5i223uFZAewYc/wAqzfiXrU11oWmRhj5dzLJLJjuV/wD2jUpalNm3bfEnw9NfC2zcRJuwLiSMbPqcciunuWEtqrowZTyCOhFfNob5hivXvh7qMl34be2kbcbWXapP9w8gfzo5dRc1zr9K2tpEIPQZH/jx4ptxLpGmTJ9uurGzmk+4ksqqzfhVSw1RbWxmPVLS2luCPUgt/QH868Hv7+41C+mu7qUyTzNudz3o5EPmPpiHaU3KQynoVOQRUd3BBPEwnQMnfNeXfCzxBMt1LpEzlomTzIsn7pHUCvQNV1yPTtN1O+2qw0+L5Aw4aU8L+pFTy9B82hPY+H7SyJmhtSgPOCeB/wAB/wDrVpKepGMV83z+IdWuNRa+l1O7+0M27eJSMfQZ4r2fwP4jfX9BEtw6/a428qXA6ns34j+VKUAjIv6x4WttRxdrM9pcR8pNEcMpqxp1jPbQ4vNSe9kHRmULj8qx/GfiU6Lpb3SJG0m7y7WNjlSTzuYd+Af0rzbTPiPrlvfI93c/abZm/eROijj/AGSMYNNQdg5lc9pureO6haKQBlbg5Fc/DoV3ZRNZxC2u9NLbvs12hYRn/ZbqK3rK8gvrWK8hcNBIgdW7kHpXJeNfGcfhmZLW3QXGouA7KxIjjH4daSTG2jqLS1js7XyYoIIE6lYk2g1iyadFqNxf28i7gyL/AFqj4S8bReIla2uEEF6q5KjlWHqv+FbtkpbV7oD/AJ5KT7DmqSdmJ2uctPoi3qwW2sWM9y9uNlvfW5Ak2dlcHr9a6TStLs9Js/Is4nRW5cucsxpuueItL8OBG1WWRHlyYraJNz49W9KXStd03XrZrjTZzIinDo67XQ+4qG5WKXLcw9Y0+S3urhxbm4068XZeW6ffPoy+4rB0rwTZG8DQ6gJrbOSnlkS49DnpXpqQPMMLGWLcL71UW4037UbJNVsWvs4MCyjdn0+tCckgai2Zeu6c91pYW3+WaHDRf7JHSuM1fw4PFV4dU01o0vX4u7FztcSDqw9q9LZCMqVwRwRUA0iG5k87yI8r1lbAA/GlGchuMTn/AAl4YbQbGd7jb9quF2YDZ2L/APXrG1HSG1XTr3w8Nq30U5vLDccCQYw6D3r0CW3kgIV0x6ehrNvtLtr4K0y4dDlHU4ZT7Ec0e0fMLkVjy3Q/B+pXeqRwT2s8KBv3juhAQdzk16F4kDsrJbZ+WL93/wABx/hW5FFNDCqSTTOPWRsk1TuE3alCOCCrfyq1O5LhY8v8b2JvdXi1q2TdbX8SMWH8EgXayn0PH61rfDnRnGpXGosv7qGIop/vO3GPyzXUHRbi1mm+wND9nmO57edN6Z9R6Gtm2iMEKxbIkVf4Yk2rSc1Yag7kueKQrTs4pM1hubo43xxq1zp4s7a1laLzizOy9cDtV/wrfz3+ln7QWaSJtu49xWpeaBZ63fWf2wqqwsfmPTBrbvbPS9JsY7DTSjtv8yaReQeMAZrVW5DJ35jNHBp4PpTcZNKPSstjQeDg4p2cmmCng4FVuScvLC1jearZxRpHbtp0sibR94nHWuf8J2gj8UaY7cuLlPoOa9a0G2sbvU/JvrdJfNjMa7vzI/HFdraaVY2eBb2NtFjpsjUVE1JpxjpcalGO6ueC2+j6hd3cpgsbiTczY2RE1Z8QfDbxJr+rRTWunmOMWkUbPPIEG4IPxr3h3YHbGBkUqI5JLN+ArKhR9lLmT1HVquatY8Wg+FurHwvb6Td3FvAYriSR5hlwFbb0H4V2vhr4f22kHzhftMxiEZPlheBXYTQeYuMmn29r5akgtg+9dMZ1EnDozFqL1HJaxIgAydo9alWGNANqAYpVX/aP408rx14qlci4wnA6Cgt09fSggFeKdhVHtRYZGXwM80wfMnCmpFYNTS3y+9TYZDKpUgdPemADFI+d4HIAHrmqzTbWIz0rKTsWkcBmgmkPNNavWPNsOzRnFMG6lzQAE1n6qP8AQH5/iX/0IVeJqjqf/HjL7Y/nUstFxeR/hUinFRIflqQdaYh/Wim5wKQtzQIUmkJpN1IW5oCw7NNJo3e1JuoCwZoJxSZGaSkMU8UmaU9BTaVx2EJ61Ew4qQ96iY8GkOxWfrXQeHzi1k/365963/D3/HpJ/v8A9K87OP8AdX8jrwH8Yq3yBr+4OOrn+dU5IVIPFbs8Aa6kOOS1NNmp7V8h7Wx9IloUBAItEbHG6YGsw8Cui1RBFpewdA4rnDzX1GTPmoX8zwcx/imj4eO3Vl/3TXfR1wGgH/iarx/Ca71DwK9Ce5zw2LSinggNTEpwHOTSGSjk5FQ3UhhtZJQfmVeKmBpSAQQQCD1BpjKGmX8t4ZFljCbf8a1B16VBFBDCSYokRm6lVxmphzQIfjNOTimA4pQTmgRZU8U8HNVw5p4aqETVh+Lf+Rcuu3ArYDZrG8VnPhu5+grah/FiRU+FnAeFmuH8S2Ame0khWwu/K8n/AFgHmjO/3r0qYRiR/lYfJ6H3rzPwlbtF4ntJjpsFsJbG6xcxuCbj94OWHbHSvUZBJ5jj5T8vpSxX8VhS+FEI2Bh85Hy+prkPEE091f8A9iW0pWS8cbpA33I9ihm/Suj1DWbXS4jJPPDuVOEDZY/hXDaX4hWwv7y+ltWutQuDtQB8KsfYevqTU0ko3kypa6HbTWsVnoJtoGAiit9qrx2FeYiO9PifRLqeOMQwJFJ5kedojA6tn+L2rpLjxXc3UZgMNuhK4ZEG7H/Aj/SufnlaJwoztx8gHRfpW1Kq4Qae7IlDmkdjq3jlxuh0+MKD/wAtZBz/AN81zMbO6bpGyTWW8zKy9welSpfLFbMznAHesehRqRoJG2b0TP8AExwBU0DaPFMEaeS7mPWOL5VUerH0rhLtr3Wp1WwkeJI+ZZXyEVfU+/t1Na9tHBb24t7YP5Y5eR/vzN/eb+g7UWGdFe69AUNtpsMdtCeHZPvyfj1xWV5ySJtXt96q/kq7ckA/WneW0XDPlc0WAWW5hgX96wBHOO9RWl4L0+VBDI7nptXP8qpwC0v9Vma6b91G33c9a7Sz1uw062MdrFHEncIMZ+tAEVl4W1C7jHnIkCHkmU8/lWzB4VsLXD3E7zHvj5VrAvPGUhDJDkj2rnb7xVM+RJerGv8AdByfypAeknUNK0kHyVhh9SvX86xL7xvCGMduGc+orirKz1nW5P8AQNJu7kH/AJaz/u4/zNdHY/DjVbhf+Jpq8VmneKyTcf8Avo8UAUr3xTeSKS8qQp/tvisYahPqUuy1ivNQk/u28ZK/nXoNn4I8K6XhpLb7ZKP+Wl3J5n6dK2G12x0+HyoPLiiUcIgCj9KAOAsvBHii9Ks8VrpcLdWkbfJ+QrdtPhjpELiXV9RutQfuhby0/IUl943jTeqSDPYLWHceJ7+8z5MMmP7zcD9aYHe2z6B4eBTT7K2twO8SfMfxqnd+NYII2YFd/bca8zutRlJP23UY48/wxnc1Uft1vJjybWe5b1lOB+VAHZ3vjiSYlY3Zsdkr0zw1aT22iwvdf8fMwEkgPbPQfgK8r8E6Jq+p69by3FmLTToT5r4jI3Y6L+de15x9KAFzS03PalByaQC1la3diG2EK/fl/lWoTgVyGo3X2q8kfOU+6v0oGisOBTd3IpDljzSSNgjFIocX59qUc1XBO6p05PtSuBZtovNlVFHLGrerTpHCltCflxzx2/8ArmnWSrb28ly3GBgf1/z71kyzPPMXkPzMaewktRgFIT2p5+7Tc5+tIoYw6+lMK4Hant29ageZIjg7mbHRRk1LBCzRJNGyOoKsMEHvXH3ej3unW8thDZ2+o6TM24WtwcGE/wCyfSuqW4mzvljCIeFQct+P61n6lrVjpdg17f3S29v/AA8Zd/oKauJ2MHRNCtoJ47mDRI7O4U8OTu2fTJPNdikZChW+Y1y+meP/AA9qd4lvb3rxytwvnx+WG/HpXTwSLI+Q3b7vpRr1BWOX1rSbmx1CXULGFbmC4XZeWTHiVfUe9ctD4P8ADl3deZayajaAnm2kgOV+hxXqNw6qypje7dFHWs1dW0Nb77HNqdhHcg8o0w4Pp9aPeFoM0nSbTS7RorSIxx7f4urH1+tUbvTk1LUJbSb7k1oyZ/EV1E0TJEM7SrDgqcg1jRjbr9vnvE9Ugsjh9U0qDWYYdI1mZbPV7NfLtb5x+7nj7Kx9aq6b8N7hLlRe3lmsWfvxS72b6CvTrvT7W9byprcSseq7c/nSW2iWlnloLSNAP7gFTzMdkPt7OGDT0tIk2wJH5ar/ALNcHf6HDrFifC95IlvqFm7Ppdw/3ZIz1jzXo2eKoalpdnqUO27iR1H96hSBo8itvhxry3BS4sMY4zvGz869W0LSItE0WOwiYNjLSMB95j1p1npYt12ia4aIchWlYj9a0lGE2jp6UOTBRR5zq+iPq2kXHh7cF1Cwme6sgxwJo26oDXnA0m8S6a2mtpo5lbb5ZQ7ifpXvup6Nb6ksbuCs8Z3RyocOh9Qe1MtrO/jdfOv3mA43vGm7/vrFNSDlMrwXoEmi+HpIpwRcXTeY4PVRjCr/AJ9a5TV9Jm1fQbrS4l36jptw0sUfd4m64r1ILtHU59TWFq+gNd3Ud/ZzPbXsf3ZY+v0PrS5g5Twe3tJHmx5Zyp+bPGK9g8GaU+naI7ypsed9+PRe39fzrSg0ueaZXv7GweQH/WrHyx9SPWtmSER22Penzi5TiYnKao9tMwWG/tJrQMem8lsV5LPaTWt1JbzoySxttdT1Br3NtFj1bQ5IySskdwzRuvVGznIrJl0CPUpwdY05pLtAF+1WzBfMH+0OOaOdJhytnM/DbTJn1w3o+VIUIJ9z2rpNWMt7pXi3TcbpVWO6RT1KqRnFdTo+kwadAIraHy0647k+5qhremXMV8uq6ftFwgKsh6Sqeqmlz6j5dDwcKWavUfhxC1tpOo3Sbg67c+hxkj+dRReENKvrwyQS3FlIx+e3lhJ2n/ZPSvQND0iHTNNFkvKHO44657mnKasJRZ5d42mkv/Dul3iZMcckkUnsxxj9BXDQAiVWAzg969Y1TSE09b3T72N20u8bf5iDJgk7H6Vj6Z4CLzr/AKdbywHkvG2WI+lNSQWOj8O3r2Pg3TncEJ520Z7Lv4rz3x+8reNdTD5zvG3P93aMV65qmkJL4fNlbrsEajywP4cdK4LXNFl8UGO6h2x6xCgjubd2wZFH3XX1qYyHJHMeEHeLxNp8i5/1yjjuDwf0r1u81H7BqJ+cqJDFGxHcbulc54O8HXFrqEd3exeX5RyiE5JPrWtr1jJdTXCw581YRIv1Vqq6JPN/Hd3LdeMdSMpJKS+WueygYFWPh9ey2fii3QMfLuMwuvrxkfqKu+J9Em1nZ4h09DIswC3sS8vDKODkdcHFaHgLw7MuqDUJ7dkggU7C4xuftii6sNLU7zxB4hex8Fa3cWb7JoFS3Rl6oW7/AKmvntZmSYOrkEHIOeQa9iuoBcXmt+G5X2Nq0QktHY/L5qdBXlkekXH2treaJ45lfYY24OaIu6E9z3Lw5rJ1jwvYahcvi4ceQ7f3nU7c/lg15z8TfEFzeeIpdLjndbG0wixKflL45P8ASuq/s660PwFawbSLiBzcuoPTLdPyArh/Hunv/wAJKdRhRmtdQRZonHIJIG4fnmlGw2b3w08Q3M1xJoNzI0kLRtJb7zkxsvJUexHb2rs/EWvp4f8ADd3qCRxvOjCCDPI8w9/w5/KvP/h1pT/8JEl2fu28bM5x6qV/rV7xWJb7wpqsHJksb9JmX/pmwIz+tFlcLuxg6d8Q9cg1KOe9vpru3LfvYpTuBHfHofpXqRaOe+s5lceVIhcN/s7c/wAq8CiidnBCk/QV7NctJpuj6fF0lhtAD9dmadhXI/HPi1fDYhtLOKOW+mXezSDKxJ0HHc8H8qpeEPGr67M1nexxx3QG5GjGFcd+PWuT+IbPca9b3PJjntImQ/hz+tVvBdvcReJ7NlHOTn/dxzUuKaKUrM9nvrqw0zSbjUr+crBbj51T7xY9FH5j864/RPiJY6vqIs7m0+xGQ4il83cpPo3AxVLxpeS3Hgq7RBgx6r+9/wC+SRXmUMbEMRxtHFCgrBzNM+iiOeaYRio7Jnk021d/9Y0KFvrtFSnociuZrU6FsNpAcGnGmEUmNkgopoPal6VSIHxSvDKsqHDodyn3r0qxkhvbWK5B3CRQevQ15l0rq/CV4Xjks+fl+dPp3/X+dDE0dcFQelLuUA9KgCsR3o2knFVciyHPJnIHSiNmwMmkK4U5PFAkRVFAEm9gOvNIZMjBzmkEiMvy9aMkg/LRcVhwzj/GkdgFOW7U1gSMbOPc0hUdC3HoKdwBXDAbQeabuYgc8Up27flBI9DSebtCjbipGQsrbj16VVIbNXi27hh8xFVxtwMjn61nJalxPPDSE80ppuOeteseaJuo+tJSmgBDiqeokf2fN9KtmqWojNhN/u0nuNFmLlR6VNioU+6KmHQ0kD3DGaZt9BT6TNUSxhWjHtT6Q0ANK4pu0innpSd6Q0R7SO9HNSdqSpKGd6TJqTHWkpWAiOaifOKsHnNQstAyq7e1b/h4/wCiSf7/APSsNxxW74e/49pf9/8ApXn5v/urOrAfxkX5P9e/1NLgU1/9e/1p3Svh3oz6ZbEGtDGmsf8AbWuW+ldTq/Omv6bxXMEcV9bkf+7/ADPAzD+KaGgN/wATZAf7prv4h8orz/QR/wATZB32mu/hICDmvSnuc8NiytSAUxcfhUoHHtQUxRxTh1puOOtKOKYrj8UoOKQdKOlAbjs4pynJpmc09eooGThe9OAzTQwVNzEADuelZ1x4k0q3JX7Usjj+CIbzVLYg1AvFY3itc+G7rjsKxb34h2yho7O0eSXs0jfKPyrjdV1a+1WUPd3LOP7g4VfwrSEuSSkKSurC6N9m0bUodRhE0k5gnhmheTKBnfIK+gx1rYvNf1C8D7phFGRjbFwMfWucifZ99wV7Gpo76aGQymFPKC/Jv5Ln2Hp70TfPLmYorlVh80QETSytsjP8ZHX6etQHYIX8nKhvvMepqvf309/MJbh9xPAHZR7Uwyj7Kfm5qSi1AGV1fHXrRdXAM8aqOQOTTLNJbpR5Mckjq3RehrXsvCN/fXPmzzRQIQAFHzP+lMRzdxI8hjVR8q0G1mvR5EIGA2XkP3UHck16Jb+F9E0wrJc/vJVHWd+P++RXOa5ra6g4trSNYbKM/KqKF3H1IFMRmL5cdrHaQ58iJieert3Y/wCHalzgZAzjtUeCenBoaQxIzuQFXrTYE+QQrEYNRyNlSM4FXNO0q71ILJhILfGRJKeT9F/xrdg0DR4Yg95PJcEdg2wfp/jUjPKdVmkttTBhVj53GFXPNbGneF/F2rKpj02SGJukt0fLH5HmvUba+0bT4M20VtAV/ur8359f1rPvPHNtCSocu/YUAY9j8LTkHW9b3KesNou0f99H/Cui07w/4X8PuHtLCPzB0ll/eN+bVzFz4pv7hW8qIop/ic7RWFc6yxP+k6mpP9yEZNID0vUfFdvbkjzV49TXOXXjbzWkWBHkY9Norjka4vZgtjpc9zI3RpeR+Vb1n4L8UXuBcPHYwntwv/16AILnW9Skz5hjt0/6aMBWPLqFu5Iku5Lhv7sK4ruLP4XWEbh9QvpLk99v+J/wroLbQfDelLiKzhz6yfOaAPKrGDVLyRl0nRmBP/LRhvNb1v8AD3xJqfOo3cdsvdSefyFd/N4itLRCqYVB0x8orDvfHMMeQkij6c0AQ6b8LNEsvnu55bhup2fIPz610dtaaHoMbfZLWCOQDjPzOfxrzvUPHTsSFdnPpmq+k3eqeJdat7CEtGkr/NJjG1RyT+WaAPbLGUXFus/OH5GfSp89eeKijVIoUSMfKqhV+lLuwKAJgfWgHnio1alV+tMCvqtz9m0+Rv4m+Rfqa5HPFa3iC533KQKeIxlvqaxGfLYqWNEitgZzzTSc1GrYk46U7I+tIqw5R0qxChZgByT0qup5rV0tMu0xHyxjj69qEhMXVpPIgjtFHKjk/wCff+VZQPOT1p93N587ydj09hUa8nrgUN3Y0OY5HHWgDnPekyFHoKGkAQntSGMZjgbaYkKozN/E3VjQHO1cDHpT+wNIDG16XyLMQhwq3EqxDjnBPP6Zrx34m6rLeeKXtN5MNpGEUf7RGW/nj8K9V8aR3H9kG5tgWktpFlA+nX9Ca8l+I9gsetQ6tbZex1GFJI5P9oLhhVohnIB+T/d717z8Ptbl1Xw7HJcsGnt8xMf7wA4P5YrweK3aVtqjk17f8ObB7LwyS42tcSlwO+MYH8qGCJfFniWbSPDuoahbyqLmaf7FASPujB3MP/HvxIrw0PknPI9+a9P8U2sl74R1eFd7TabqPnFPWJs/N/49XlqjcaaEesfDDxXczSf8I7eTb4PKZ7TPVGHJXPcEfyruXlW31e2nlGUSOQkeuBXkPw7spn8YWEqIxWFjI3HRdpH9a9K8SyukLmP7/kSkfhg/0pjZj/Efxhc6RbQ6Pp8rRXF1H51zMOu1uij0zg/hivM9I17UtHvlvLC8kjmU8ktkN/vDvXQfE5Hk1+0v1H+j3djE0bduBgiuMiQhgece1IR9G+G9di8RaNb3yKI5HG2WP+446j+v403xT4ltvD2iPqWyO4k3+TZxn+Ju7H27/TArmPhpHJFoN221gGmyv/fIrB8eyy3HhHQ5+qJNNHJjs/H+BqUimzN/4Wf4tN6bg6pn/pl5S+Xj0216j4U8SxeJdKW62CK4U7Jogejeo9jXz2gO6vTPhUXW5v8AGdhjXPpnJptCTPT729tNP0+8v75mFlZoGl29ZGPRR+g/GvMpvjBfC+LW2l2cdju4ibJfb7vnrV7x7eTTeAgVY4bV3SUfQHFeSnO4etO2gXPo7RNas/EOlR6hY/IhO2SJjkxP/dNW7qeG1gkmnuY4IIU3zSueEH+SPzFebfCZ5o21OH/lk0SyfiDV7x5qDzeCbzYeJNU8uT2ADYH8vyqbajvoB+LOmx3XlR6VcPag481pRuPvtxXY2+o2uq6XHeWcnmQScqw/kfevnEHLe1en/DC4m+yajZs2Yl2SrnsTwafKCkd1pbrFYzlun2hh9TxxVTV/FGj6DKsWoXX+kMM+TCm9lHqahtr0RXcdt1Allmx67VH/ANevD7++m1C/nvLht8s0hdzRyoOZo+hdH1ix1i3FxY3Amizg9mU+hHY1elPyE4OAcV4j8PdRlsfE0Mas3lXAMbr2PHH616rq2uvZQ6k8W3dY2pmAI6t2/pUcupSloSXGsaPplyIL7UrS1uD/AMsnk+Zfr6VsQOsu1kYMpGQVPBFfMcs8lxNJNK5eSQ7ncnkmvUPhZrU5W402VyyRr5sWT93nkfSiUAjI9Qu4IWjHmrnP3QOprPthp0Ezw26xRzH7yArv/Edaw/HXiWWz8MXNzZy7JnlFtEV/hXnJ+uAfzrw6G9nt7kXEUsizA58wN8350KmrBzn0ttUjHY1nXug2d/Ogkh3Sjldv3l9+OlUvCevf2p4eiv58GVBtkz3cf5Fc58T/ABPdaV9n0PTriSEvF511KjYd8nhc9h3pKFxuR3kNoLJViCMgHAzWaBnWyOxgP/oVeYeB/GF9p+rw2d5cyT2Nw4RxKxbyyejDNepYEeuAvwFhYt+dNRtclyuU/wCxktdSa8tLh7SeT72xuJPqprUUOB87F29TXGePfGFxoE8en6W8YvGQST3BTcVB6KoPSs7wX47vdQ1JdN1aRZjL/qZtoUhv7p9c81Lg7FKaOy1fRYdViXeWSaM7o5UOGU+oqW1S7MyzX8dncXCfduPJw59M9s1pjy0RnmdUjRDJI3oo/wD1V5dc/FW7/tNvsmnWo08NgRyA72Hru7GiMZWByR6VKvnI4k+bd1zXORaTNDE+kSQRXmlFvMjikYq8R/2WHatvTNQttY0+C9tWPkyrn5uq+oP05ql4l8Sab4Rgia8Q3l/ON0VqrbVVP7zGlGMrlScS3YWdtp9p5FpAIYzyRncfzrJ1HTp4dT/tG0jSZZImhubZ+BNGe2exqTw14wsPFYmjitjZ3sQ3GHfuWRe5U1tyL5cDzyMscMaF3kboqj/9VK0uYfu2OU0nwppUF3HdJBeIEbcsE+3aD7kda1tSh8+/tlfo7EH8Qaxrb4jaDPqS2gW4jjLbVupANh9yOoFbt8SdSssDKl+o/GtFzX1M3y20OSvtDWe1TTNSEkYtXJs71VLKAf4HArV8NeFodIlkuTIssrrtV1UgKv4102oS22l2bX+oXUdtaocF25LH+6oHWqela5pOuxytpd4JWi5eNlKOB64PUVDcrFKMbnOa1awwzXtnfhhpWpgb5lGfImX7rH2rF0nwGTdr51zbyWoOS8T7vMH9K9Ha3S4+R0DAg8GqFjf6K929hYXtm9yv3oomG7jr060RnKwOKuXxgKABgDpR1ozlS3YcGkZlRlR2VHb7qM3zH8Kzs2aXQhFJinUEYqBkfQ0p60pXIo7U0JhV3Rrz7Dq1vMThN21/908VT60wjPWqYj1kHPTpSA1m6FffbdIglb/WKPLf6itI/MKZk0DpleTxioGtsnAY47ipy+OvSgkYNDSYEVvAIV69alPykmmbiQOOKRgSDkijYY5jnlmOM9BSbkBNIQigZYdab5sfI4zRcLDjISDtWmqH4+XNO3DbwtLl/l7UhjAhDEt0xxzVcIv/AD0A56VZHDZJyajaEbj/AI0pIaPNieKTOaDSivTPOGkYpKcTTTQA081T1Hmwn/3auGqeoD/QZ+/yGkxotR9BUoGKhiOVWpSTTAD0pmafjIppGaYgXNLn24pMlRQOtAhT0pMYpSeKQmkxiUlLmg0DE6UlBo6ikA0jrUbDOalNRN0pFFdxzW74f/495v8Af/pWG1begf6ib/e/pXnZqr4ZnVgf4yLjt+/fmnA+9QBriOBFQqrvcGMkgNxgVtzacIfD5v8A7RvbbvBMSY/LFfPQyp1FzJnvyrcqXmY2qnOmt/vLXNNW/qNw02kWzMgBlXLFRgZyetYLdK93K6DoUXFs8bHyvVt2Leif8haM+xrvoPuiuD0TjVoz/smu+i+6K657nPDYsocfSodR1GHSrCW8nDGKPGQoyalT5QKxfGhz4Sv/AEwv/oQqqavJIcnZF/S9cs9XJFoZG+TfllwMZx/SsHxfLPHdHypmjXy0yysQRyemKzfhux+2agGVg6xgHHMf3j9w+n9av+MSjXwUAPIYlxzwOT2rrpxjCvboZSblA6bQZGk0KydmZy0QyzHJNaOK4+28Tppmi2sPkbpIowGZm2rn27msy+8aX9whjtzHbg8F1Hzfr0rnnFuTsaJ6I7a/1iw0wbbmdRJ2jXlj+Fc1e+NrgyGOzgSDj78nzN+VcxuMwEjyl2Y5ZjyWqO6miXCMN8o/hB6fWhRQXLd3qVxeDz7y7llVugLdfotZU19JInlqTHGf4R3+tNErOw8xsmkeID5h0oFcbG20cUvnbVcngKPSprLTry9bFvbSSD1C8fnVm40x9JcC9aJp3GVhVt233f8Awo3ArJCsUaSTDc5+ZIj/ADP+FNcmRmZ2yzdTSuxZmZjlj1NRk4BrSwrjZQMKAKo3jrDFEZP9W0mGxU8uZZotm8sp+6vf8Ktt4O1zV7QpDbeSjdJLhvLA/rUsZJH4phtLdYotqqB0Wqs3i+cuqpPsZmwoB+ZiewrZ0v4Q7tjapq80rfxR2ke1f++2rU1HRfD3hiBFsNNtjfOPknkbzXQf3snofpSAxZpbiOIwzSs87/69ien+wP61WIwc8UjsAf7x681WSeQqfNRUOegOeKsgtFwD/jWbqd4kbW2//VmX5vyqSW5RU3Bxj61Sn0XVdehMVhY3EzdQwXCr+J4oZRoS+KyFX97jb2qpP4maUY88IvqTU+mfCPxJduv9p3lpYRd8P5j/AJDj9a7LS/hX4esXDXUtzqDrz8x2p+n+NQM87XU/tDhI47i5djgBeBW7Y+GfFV/s8jTlsom/jlUA/rXpkFvo2jD/AESztICvRgAWH49aq33jGytc5nyfrQFjnrb4X7mDatq7SHukX/18V0Fp4S8M6Xgx2QkI7ytu/wAK5y8+ICHPkAn3Nc5qHjW8lJCPj6UAeryavZWSbY/KiUcYQBf5VhX/AI2tYM7ZBu9q8qk1m9u2wXY/jTBbSS5eZmA9/lH5mkB2l94+JDCM59OaxZ/E2qXbHykk2+vSsI3Vha53zQ5H93Lmqlz4ntIc7GeT2LhB+Q5oA2ZJbyXPn3Kp/s5yaiMEIG9/Mk92OBXLT+KZn5giCe4T+pqhJqt/fHblnPYLlz+VAHYPqFpbjCPApH935z+lelfCeFL+G91g7iqn7NCWGB6uR+grxGz8M+INQA8qyuMH/np+7FfS3gzRv+Ed8IafphAEsUQMxXoZDy36mkB0hbGB+lJuznHaq+88sacjbVJ9aYEwbFPLhFLn7qrk1CrAuOelVNZufI0xwpw0jbfwoA5yefz7iSZjy7ZqE5AJBqEt83FO3HGKllChuacrVETk8U9egHepRZMg61pyt9l0sKr4d8Z/H/6386z7UCSdUP3c/MfQd6k1G5E7phdpPzsPTPQfliqWxPUqZyfpUi8g84NRdqeDtX3qR2FKnbjJOKhPHBz9alJJHtTJnSOPc4J5wqjqx9BRqDGgnaQpyc96mA965rVPFmj6Gypql+sEzciCJTI+PfHT8cVd0fxLpGuRF9NvVnC/eQja6/VTzT2C5qSxpIGVh8p61weoeHJbOGWyNkNQ0eZ/M+zbsSQsepQ+ntxXfkjGfzNU7m4Ub02KSgy7SHaqj3NAjzvTfA+nrcRvHZ3QXrsuvu/j616Ha2q28QUACs218RaFJd/ZodU095842JKDk+1bSgM2c8e1KVxqxzGuadd2WpDWNPjWcmMxXVq33Z4/7v1rhZ/COh3d+kmn3FzZBzl7S5i+aI+g9a9encgYCKQeu7/PWoZra0t5RHdzW0Dn7oknVc/TJppsmyMjw1oNjo9u62SSM0mA88q4LfT0FOvIQ+rWAIyGd1I9crW+AIioAGDyCO9Y12Matpx7eef/AEGnFsGjktX0a2GntoOtM8dpG5k07UcZWHP8D+1Ydl8OJxcIZdRs3gPO+JtxP0FeuXUNvLEUnQOG4xtzu/CqttpFpZsXhsxFnk4j21PMx8qDStOhsNPjtolxGowPU+9cfrumwot9pOokx6bfS+fBc/wwTe/oCa9AGCPaq19ZW17bvFcorRkYO7pRcbR4ufh3rcN2EWKKaI/dnR/lxXpvhPQY9D01YOHlY7pXH8Te3sBVvT/DUdrn7N9o8kc7eQta8arGoUDpTcmJJHG6vYQySalod8wistVKy2tw33Ybkev1wK89n8A6/ZXrQS6bNIFOFeJdyv8A5969svrC31C3eG4iWSNuoYZqta2Etqojhvbhol4VC+8KPQE01MOUzPCHh1tA0uVJiPtVwwZwP4FHRaytT0pLqfU/D13KIY9TcXNpMw+USr2ruAuAckk+p71S1TSLbVYRHcJu2nKnOCp9j2pcwWPCn8L6la3z21zaSI6Nj7uQ3uPavUvCGhyaPo80k6FLifBZT1VR0FbdtZX0AEUt756qeDKilx+NXpI9tq/OTt60c9w5Ti7yV7GeLUgu6O2uyJeP+WbDBrzrxJoEulazIqDdaTt5ltKPush5r2KxtYryLUYJVDIzjII9qpr4fuLeEWi+Td2an93Fcpu8v/dPpTcrCUWzivAOhSy6sl4ynyLfJDY6t2ArptahKa/PbTNst9Ttmtgx6BsfLXV2Nktqqosccaj+GNcKDVfXNGh1a08t8q6tlHXqp9qXMNR0PAJdPuLW9ltLiNo5om2upHSvR/htpDrLcXzA7CvlJ79zW2NEa8nA1XS7e6mUBftQcozgf3gO9dVY2UdpGiRRpGi9EQYApSqKwKDueZa5b3F94Y1Kz2s1zZ3InC9ynOf55/CvPbe3aVunA617rr2h3Md8mp6bjzQu2SJvuSD0NYll4U0+5uDK2m3FsS25oi42fSiM1YTgyDSLO4svAE8ioyl285V9s/8A1q574mxtd6pp+sJzbX1mgVu25OGFet/ZImsTb7RsK4IA4rkLjSI4LF9G1W1kuNK3+bbyw8y2znrx3FCmrlOLPL9E02a81K2giRjJJKqpjua9g8R3DwTyOnJEDdPYiovD3hrTNMn+2Wsk88wGI2lTZ5fvj1q5qNus+oW8TjIdHU1fMiOVnlXj5JG8SG6JzHdQRSxN2I2gfzFUvDFjNNrth5P+s89CPw5rutS0SG4tE0vVRIhtWP2K9RNw2f3Hx0rR8NeGYNLm+1+as020qjKMKo9vU0udWHyu5Y1u7lmsfEVmpO77CWjHqO9eKRoWcV7drFtPbahDqtvGZ1jUpPAB/rYz1H1rkV8FxzXZm0m7hltZWyolba8Q/ulfalGQOLNPwfeS6d4Ku5T91JuPxAzXNfFGV5fGkjN91rWEx/7uwf1zXpUOiwwaAdMT7rKdzepPeuR1bQ18TW8EDyJb6/YoINkjbVuYh0Kn1pxkrjcWkcr4Eklg8X6Y8ROWm2H3BGD+legeN9YeXwjrcEbFTFcRQnH9w/8A6qi8I+Dp9Hvv7Q1CKNJIh+4jDZO714pdcs4he3dpdv5dhqkWwynpFMv3CfalzK4knY8ejVpH45Fe0aLfSp4e0a8lbMkSdW77c4/kK4qz8D6ql2Ld7Zg5PMuf3YHru716DfWMdtZ2NlCP3aAR/wCNVcVjkPinq8t2NDtwf9H+zGYYHBYnGf8Ax2uW8HX8+n+KbCaLdgzLG+P4kbgiuu13RZ9e8OW8dum/UtHZ4poQfneEnKsB3qj4K8M3MuvW9xNDIkFs3myM6lRx0AzRpYFe52PjHWnsPDGsC2YpMrrb7h1UMef6/nXikMskUySwu0cinKMp+6a9V8Q2El7f6ppTPhr9BPbk9GkTnbXnVtot5JcLb+RIJ84MZGCD70law3e57Rpmtxz6VaX8vMn2U3LIB95lHP8AWvD7/VbrUtUlvZ5XaWRywIPK+gHpivWbm1TShpET/JbLGbWUjou5cZ/OvL5dFntNRltpk2mN9oPY+9EbBI9d8IanLq3h2CefmZf3bn+9jjNbp6Vg+DdOfTNAjicYZmL4+tdBjrXNNa6G8dhnakz2paTvUDE70h9xSn7woJyKtMDo/B96UvJbNvuSrvX/AHh/9auzwOPWvMNOu2sdTt516K43fTv+lemmVMcZOemKLmckNkRip2Yz71DD5kRfzSCe2KftGTjzD+NMZQuTlVH+0am+o0NlnZm+QUzEjDlx1qGbUdNtzum1G0jA/vTqP61Ql8YeHov+YjHIc9IUaT/0EVN+416GzHCvVyTU48tR8qVzB8b6Zv2wWuqXHvFYvj8zinnxTcyoTbeG9Tf0Mvlxj9WqlJByyfQ6USHbyuKaz9cmuTOteKpTiHw/ZxKe897n9FWkabxfPwX0i190R5D+ppc6HyM6Yt5kqYJIzyKdIAJCMfpWRocepRtMmo3sd1Jncpjh8sAelakqSmViHOM04u6E1ZnmnmNn7v607eT/AAmgD3pwFeoebcjMmByrZpDKP7rflUhXmk20rMZH5itnr+VQXmGsZyevlt/KrgXIqrejFjcDt5bfypDQ+KRfKXnsKk3qf4hUUBzCn+6KmKAkVQnuLuHqKB1oMQI6Cm+UuPuigBWpQOKaIwe1O8v2/WgBCOKTHPXigR/X86PL54JpXAdgAUwinFSR940whv71AxCaBTfmz1pp35OCKTESZz3qJzxSFpBjgVG0jn+EUihjda3fD/8AqZh/tVz7M/8Ac/Wt7w4SYptwx8wrgzT/AHZnVgv4yLDpKlpuSJ3aK8ydgLfwiunvbu2fwk8MTHPk4CMMN+VZmh65Z6S97aXxZJDNuUqpIIxW4PFWhkEG6Kg+qNWGGnTVPWW6PQqVJ3S5fhZw95uXS7NCjD90Sc8Y+asZiK6bxXqdjqdwjWLecIo8O65G3muYOT2NduH5baO5w4qTnU5mrXLminGrR+m013sLDA55rzvT7qO3vd5O4ovKitWXWruSPhxbx46p1NVKLbM46I7gyxRrmSREH+0cVzXinVrC40i40+OYyTSgD92uQvPc1zTXLSjfufn+Jm3Mfxo2GR+oyBkk9h61cVZ3EyDTFuLBWSznmhSTjYjds5wD25Jp0pa1ZpN3mOeoJ4HuT3pfOUZihJI7yEYLe3sKjn4tm9e1U3d3C2hVnlkkcNISzEcZpgXLBOjGtGHRry/MbQwMF/vH5V/OsbxHeLplw9nbTJJdBdsssZ4j/wBke/vQIuS3iRL5MJBlHDMOifT3qspA+prnbW9aAjYAwrZgvIpCOfmPY0MCw2wt1Iq1pmr2EKiaUJI2eN3OPwqKDR9Uv1zZ2M0gbjdjav5mlh+Fz28Mt7rGsGGEHIt7ZdzE/wB3eeKQzpY/FtybY3ECqIB8sfo7ew9B61hky3EklxcSGSaQ5ZjVS2mkuyU8gQpDhEVeAoH8NX2GBgd6uKJbImUDGadZratcgXB+Req+tQTvtXNcbqmqzwagscW93k6IgyfypvYSPWIfEGnaZGfssEMRHdRz+dC+PpUjKw2sckn/AD1Iya880zw54w1gq8emSwQMf9bc/u1/Xmu2074XSToDqWszzH+KK1T5fzrMocnifVdYuDHLeJHCi75fLbJC+n1NY+qXkzSTTAjcT8q9kXsBVy+s9O0p5LHSI/Lt1bMrM2WkcDua5281Bg5TajD1NUhMZbXbIXEmTubJOeat2GnxazdZuZ3itU/hQ4JNY1xd+cNkUaqRzx3rMh1q4snaJsIASeaBnr+m2/hnSgrQWELSD/lpJ87frWofGdhHkSvhV+6qtivLpY5Y7W0e5vJo7iaPzWhVRiNT938SMH8aa+iCRdwvrgn/AHVqdxneaj8R7aPP2aJR7/8A665e9+IV/dudjGshfDQf71xMx9ML0psmkLEGS3dAR3kQn+tABPqmp3jFmmIHpnP6VjXV+FuTAH8yUfeZzgLVTVptTst0a3YBP8KLt/lWba+GPEeqnfFp9y6t/GV2A/iaQGu19YQ83Wobm/uQru/WoD4k06NiIbVpMDhpW4/IVsaV8HdYvAHu5Et17gLvP+Fdfp/wa0mFR9vuppx3UvgfktAHlkni28lBW1CxL22qE/8Ar1FHHrurv+6guZs/xLGT+p4r36y8FeFtHKmCxh3L/FsGfzOTV6a90qBVURwhB6nNAHhdr8OfEt6oeWJI0b/nrLk/98rXT6d8GZiFN3eupPVYkCj8zXf3Pi2ygH7nYuPSsifxhPNnyEZz7UAOsvhb4dsMNdIkrDvKxc1u2+n+HtLULBCox2VQorjbrW9Tm4LpEP8AabpWRcapCCftOp5PfZSA9X0/UbK41CO1toY97cnuQBXQvIQuK8++GSW91Hf6lGH+VhboznOe7f0rvJHwR3poCQNuqVWyKrpIDndwKmDLjrQAqtjJ5rF124LzRwjoq5P41rjaa5a9n8+8lkzwW4oGiDaM0ucZppbDGnE/LWbKEpy9aYOtPHAFAy7bJlM5A8xtuf8AZ6t+lVZJTPK0jdWOfpU0uUVz2VBF+J5NVVPBPeqYkPU5pxOTSKPlzQO9SUONc5r+uGwtdUuhtb+zrQOikf8ALR+5/SuhznvXD67aPd3+taZj5tS0/wDcZ7yJ2/lVRJkeIXN1PeXUlzcyGSeVt8jt1Jq1pOp3WlapbXttIUkjft3HcfQ1Rmglt53gnRkljba6N1BHWrljZvdTRwxozO7YUAcmqIPo5NWii0tr8gMiLuAPf0/mK8t+KWtXCy2ujpIyRmITTgH/AFjN613d5pbx+EprKEkusCqMdyqj/CvMviTG11PpWtplobu0SPI6B1HIpRGzh9/IHpXt3w08STanpclndzNJPbEDzG6tH2z9Oa8Thi8xsdjXqfwx0542u7nPyPtiHuep/nQwR2Or+IhpNpqmouAxsUCRJnhpGx1/OvBb/UbnU7yS7vpmuLiU5aRzkmvT/FNrPeWHiWyQkujRXaJ/fQDn8sGvJQcnPWmhM7/4feLbux1S30q4nkksbhvLRXORC/Yr6eleo3rBb7T5GOAs+SfT5a8L8OWU1zr1ikQOWnQ8duR/hXs2vb2SCNPvNKVH4qRQkMzfHXjC50PSIPsUmy+v8lJR1hiHdffnH515LDruqRXgu49SulnznzPNOa6b4hBrmz8P34B8p7Qwk+jqeRXDIpJFCsK5794H8TN4i0kvOAt1C2ybHRj2YfWtzV9atdE0W+1eaPzEsyIoou0kx9f89Aa85+FcLJLqDqDsKoCfU81d8azy3Pw9vlySbfWf3o9M5xn86VtSm9Dk7r4leLLq9Nz/AG1cQnOVihOxF9gtem+C/F58W6bKLpEXU7THnFBgSoej49fWvBACWz3r0b4VW80fiK4k58trJ9/6Y/Wm1cSZ6ld3ttZWd3dXbt9ltIvNmC9W9F/z6ivJdR+LHiG4v2ewljsLXPyW6Rq3H+0SOa6bxfcSy+FPEsSk5jmty4/2OP6140eT70JILn0B4P8AFqeLrCZpoo4NQtsecsfCyKf4wO1b1xLDBC7zTeVBCnmzyBsFR2H6V4/8KmdfFyjnbJbSh/pwf511HjK6mk8L+JkQ/OjQDj+5xStqO+hg6h8Vrz7cf7NsbWOzRvlWVdzuPUnt+Fdr4b8UW3iXSpZY08m4TiaHOdp9R7GvAt2ea7z4ZtImuTqv3JLdg36UNCTPSdLkSK5vt543Kfrx0rC8VePIPD119jhhF3efedWfakWe3HerfniPVUjY4WS6jDfka8c8RzSzeJNSeXO83Umc/WiyC7PX/Cnjm28QT/ZpoltrvBIQPlXHt7+1dVLJ5a8/Mx4VfU1876HNLb61ZSR53idMf99V7jf6g0GrRRr/AAW0sqD3AqeXUpS0MDW/iLYaPqD2cNvJfSxttlcSBEU+i9c10XhvxJY+ILbzLQuCOGjk+8h/w96+e3dnkLNyzHLZ7muy+HF1Jb+KEVeElRlbPtzRKCaFGWp7jKwjjGSqnGct0Ud2NcS3xL8NRXhti126BtpuliGz8s5xVXxXrs0/hbXXjcBleK347KTyK8cDFm60owjYbm7n01BLHPDHLBIssUihkdOQwNQancQWFjLeXk0UNrF9+VzkZ9B61xXw41WZPCl6JWJFnIfLz/CGGcfnWV8VNSeW20WyRv3HlGYgdC2cD+v50KCuNzOx0jxZomtTNb2F2WmH/LOSMxs30z1qe751azPbc38q8Esbma0vIbq3YrLE+9DnvXuk94A+n3p/uebj0+TNVyk8xsTJDBDNcXk0Vtbwj95LM2FB9Kp2Oo6Vq0cj6VqMF3s+8icOvvtPOK89+KuqyyDSdPRz9nFsLl17M7Hqfy/WuL0DVptI1yzvbdirRuN2O6k4IPtipdNFc7Pf8ZXPb86guG0+wuVW5u7K2uG+6ssqq7VNLqMFrNN/dhia4I/DIr51v9Rn1K/nvLlzJNMxZ2b+X0pRp6A5s+izlTtI/wADUM+nQXTfvrcOBzll4H41yXw51t7vw/LDdP5hsW+Usedh6A1S+KPia6jhtdFt/wB3DNEs0rqfmkyen0pRp6jc9DvUjRIx5TRsg4BjYMP0qK6tYL6B4rmMSIRggjNeNeCNen0nXYIvNP2W4cRyx5+U56H617Zc6rDpWk318drSWcDTbfV/4f8APvSdPUanoMs9DNjAPJt5ViC/KhY8D2Gapaodslsf+mg/nXicniXWJ9W/tKS/uPthff5oc5U+3pXr1pqZ13QNM1JgqSyNtlA/vqcE/j1q+SzJ5tC/dadbNeJdqXiul+5LE5V/px2q+C5RVd3Y/wC1XJeNvEkmhaFHLZMq3165VZQeYkHce/SuJ8MeNNUttZhW9vJrm2mcJIJWLbcn7wqXTdgU9T1XU9KttThC3K/Mh3I4OCp9QabaWJjXdLcSXDDgSSKAfzAGamvryLT7G6v7kqYrWIyFP7x7D868fT4i+JBqDXRvtylsm2IHl4/u4pRg7Dc1c9evLKC/tnt503RtwayLHRyixi9dbho+EeRAWVc8DdW7p1xb6pbWM0cgCXqqVx24yw/DBry/xB8RtUGry2+lvDbWkErIFEYbzMHqxNEYSsEpq56oqhVAFB4rM8P6wmu6JBfqgRmykiD+Fx1rSNYyVmaLVDTTSOafnIpmetAwPQGkNApO9CExjkYrrrRbzUdMtLiPVLi1RU8uRYlU/MO+SK5Irmuh8MaikEM1rMyhWcEEn14/womCVzU/slGGbnU9Qn+twQPyXFQv4f0ycAy2vmn/AKauzfzrSeFvNKjhe3+FOAwnzPuNY3KM+LRtNhGUsLVPTEYq1GqIuIwi47KAKeyKW57U6JBzlQDikFxuS2BuzzUvXOWagAr9PWl3e4qkTdjQO+KQqWPQD8acAFXOaikuNrhM5PpT8guOiZYpnkwXcKBtHXrVjzro8iCMD0Lc0212ZcBvmD88VobR6n8q1UV0JueVilplOBzXpnnWHdaKQZFFAxy8VWvRmzn/ANxv5VYB61BdDNrMP9g/yosMS1X9ynrtFTheaZZr+4j/AN0VdSLewxWihchsjVcjpTvJYjpxXQ6VoDXaF2YKorYHhmMD/WD8qluK0Zai2cN5BHak8o+ldw3hlCOHH41EfC57OtTeIcjOKMeKaUxXYP4VlycMpqtJ4Wuh91QfxovEOVnLFajYV0Fx4cv41LC3ZsenNYE5EbFWOGHUUrodiIjBpDTS2TTqQhCM1EVqbGaj2kmmBERjNbegD5JvqKx3G372RUtlqj2KyBYRlv755/IVx46nKrQcIbnRhZclVSZd1K3Z9UnZe5qhMgQEF13egpLjUZbl3kchA3LY4qi04K/uyR/tGvLw+Uy3qv7j0qmOVrQRdSaK0ikTO4zYDDHPFVHuHeULyoIwAtU0LGQIqlmY/nVS+vHIMNpluzTL/Jf8a9mnRhSXLFHnznKbvI20aKL5gQ8n90dF+tQ3N8sKs8rFielZ2ntLHAiuMZ9aZAV1DWlglQ+WuS/PCqPWrZJfsLwXsjx4KIo3M/YCp57hXOxBsiHQd2PqabdzxOwjtoUggX7qIuM+7epqFQX4A5p2FcsQsC49uaW7u1gtHY845q9Y6MZsNNcxW6dxjcasaxb6JY2EYhzeX0xxF5j/ACr/ALRUdcVNmMxbrxDeS2CW8G6KaVOg6xoe/wBTXOT6NJs3+YC3fNbXlLATubfu5Z+5+tQSzGM4X5kPeqsSzndqwtscYINdnouq6RpUaGKCJ5h96V13HPtnpXP6loWqauyNp1jNOTwdi/1qzpHwq8TXTA3N5bWY7rkyP+S0mNHXL47uXmCWsQkdvlXcMjPpUN14gfVbhIZrjzGiHI6Dd7VDL4OsPDDYa4uLnUGTlpPlVAe4X1qibSC3uA20jAyOaaQmXWYbSR2p2nqupM2G8pF/ibvVOeZWjYAdazDc3VsrSLshiZyse5iN+OpHt2ptkpHcxaPoisv2p5JT/tPtT8QK20u/DOkJmOW2THeGIKf++uteQXl3qZi8xpoViPRi5/wqlLBfyH99dwJ/wIn+lSXsetXvxC0q1z9mhEhA+9Id386zD45v9StZ5RmCDPlx7e7d/wAh/OvMktXNzFbxBru4mYJGofaCxrqLmWC3Rbe3OYrYeX8vdv4m/E0Axlzdys37uMv9az2tri5yfLCkde1a006W88atgBl++WH5U2STjIHWqJMN4ZLWE/u1Zi3r2rN07TotW8RR+cm61sx591z/AAjon/AjgfnW/dhfLYkjgE1b0WxTS9LEU0ZF1efv5gf7n8C/lk/jQ9gRSuzNc3T3Ev3pGz7fSri7okSNidyjmn3gWazHkx42tll71JpxJTbIu9gOpqCi5Eu+E7flLL1HUViiO4spliAkuV5Pmt/WtZJCsxU42n07U253bTtAJ9CaYGDorWsustdXiCSRG+QNzzXcL4uW3jVI0jGO5HNeOajPdades/ITdzx0qJ9dmccMBn+JjUjPYZ/Hcg+VBFn6ZrJuPFupSjO5kQ9+FFee2b3V84SBrm4kPRLWEsxroLXwN4kvWXb4evue93MIv0NAF6518OB5+oqO+FJJqkNWglP7mG6uT+OK6ax+FXiBlUy3Ok2OeyxNM4/pW9Z/Ci1IP9qaxqM+D92JlgQ/gM0AedyX9+gyLK3th/emYcVTbUGnbbJrCM5/5Z2sZc/pXs9r8O/COnN5p0+KVv71zI0n8zitUT6DpigRLaQL2EUap/IUWA8Og8Palf7TbaHrF4D/AByjy0P51u2Hw88RzMMWGl6ev/TZ/Nf9K9KufGOlwKSjb6yz47+13UVtZ25Z5ZFQH60WC5q+H9Lk0TRILGaVJp0JMsqJsDMT2FXyxZqc3B2g5pdm3FADQrlgc45pJywIHapVHIxQ4OcMBTER/afIt55SThIiB/vVzA447962dZOy2ii7s2W/Csgbe1TIpCGl7UHr0pveoKHZ9KmgCtIofhf4vpUGalVMxOO74QH6/wD1s00tQYkrsxG7q3zn8f8A62KTpTXbfKW96UHBoYIkPAwKUdKjzls04nrzSGLjNY2t6W2oQo8EphvLdvNgmx9xv6j1FbGcU0gBSTwFGST2oTCx53q+g6Zrchm1uzm0/UVwr3dqu6Gf3/8A14P1rQ8PeGtJ0yRJLNXuZxkCaRcAA+1dPcywRxPczGKGBf8AlrM4RaZY3tlcRl7O5t7iNcbmicPj8qeorIvJCPJ2Nz61xGs6H9mhuNPuLN7zR7h/NCxDMlrJ3ZfUewrvQcCobloiBG6By3RaSBnkGn+B9OacNDqwlTd93yyHHtivT9E0uDT7RIoYfLiT7i55+p96f9p021ultZp7eK5PIhaUbvyrQjkR1yjAr7UNsFY5fxHpV6t9b6vpsKyzwo0csDcedEeq/X0rz+fwbpuoXTTafqEdkxbMtjdAh4W9MV7UduwlsbR1NUDBBI5ma1AQHAkcKM/nQmwaRyvhXwnDo85neQXFwRhXC4VR3x/jWtq8eJLT/ZuU/nXQRoiAADkjj6ViayOYzn7s6H9acWxNHN+I9ChjhudNvg6aTPKZ7e6UbhaSnqG/2TXM2fw/uhIrfa7GSJjhZVkyMfSvY7koVwyb9xwFA5PtVe10WNH81bBYsjPCDJpXY7Io+HtFt9IsFt4QcDlnxy7etZ+r28NleXv2yBptG1OPy73YMmF/4ZPp611IAC7cUjhWVt4G0DnPpSu7jtoeRH4YX6ziTT7m31GzbmOaNx/48K77wv4dj8P2kil1ku5wFlZDwq/3a0ovDcBk3wWBTbzlU2j8quRxiIFAoUD2qnJiUUc1rUENnfzXF3E0mlX8P2a/C/wL/C/4VwN38Nr+O4Eumn+0dOk5gnhYHcPevY3jV0IcArVCDRbcyeZaQuitzmIlVb8uDQpA4mN4P8Knw/HJPcY+2TJs2A58te9N12KOw1N7i8QvpV9D9nvOM7PRq6pY/KyuCD3zTJIFuFZHQOrDG2lfUdtDxa58A6haXeYU+12Lcwzw8iQdq7vwh4cfSYZbicbZ5I8bP7i/41sW2h2ttITazSRxk8pG7BPyHFawRI4iF6Yp8wuU4vULWe5lvTbf6+ERzx+5U1x/iPw5LrV02vaShliumzcwr9+CXuCK9J0wZ8QXII4NuP51Lc6JaLffaY2a3mbqY22lvqO/5U3KwkjgfB/g6Y6jDe3luUghO5BJwWbtx6V1fidXs7iz1RE8xLdiJV9Y2GDXR28AjXl2dvUmnTQJOrxuu4HsanmZXKeGar4VubS+Mlspn0+U+ZBOgypU84OOhFdl4E8PS2szX0y7C42LGRgkev0ro4NAisLhhbXM0Ubnd5SP8v5Hp+FbdtBHCp2ZLHqT1ocwUDhNV05E1DUdHuTst9UXdFIxwqyjpzXno0C8tb4213BJHMp27CPvfSveNS0e21SDyrhAc9Ce1RW1jc2ZSKS+M6RjA8xAWA/3utKMwcDF0Lw8+meEp7V12XF0C7qeq8YArjfEVjc6x4atJEiZr3SS0NzGB83lnlWxXrmAepyaxrzQle9W9tpWt7kDBdP4h6MO4p8+oOB45ouhS6hexW0SF3c5bHRF7k16drMBjSztUJI5iX6bcVtWln5IJcQ726mKMJu/KqWrrm9sv+u61Sndi5Tz3xXZTav4d0zVY1LyWKfYb1R1jIPyt9KxNA0GbU9St7ZFJeRhnH8I7k165Jo0kGoyXunyCKWVcSxsu6OVf9pf61oWECWqNstrW3kb7/kJjNT7RAoMw9XZLfxVAJm22l1E1qznouRtFePT6PcWupT2U6MskDlGzXu+q6bBqlm9vMvyt37iqEeivL5aanFaXoi+WOV48SYHYn+KiNRdRuDOf8HaO9t4Uv5lUrJdHavuFHWuc8bW82oWulawFJi8gWkp/uyqTwa9cCAIEAVQBgADgVhzaDLDdTvaGOS1uTme0mXKOfUehpe01Bw0PLfDWjS3ms2cYBB81WPsFOSa9J1KGa8vNZ0gE7r+wZrcHu6c4rU0rRLPTVZre0WBn+9824/TJp+qaUb4QzQymC7gbfDKv8J9/UUOorgoOx4LBbO0nzArg857V69pVm+leCdNifIeSVp8Htu6VpDQbG/ulvL/AEm3F5ndI8MhEcjepSrGu4e1jzwFIAA7VXOnsLlZ5r4vjkutA0y4JLG3nlt5R/dOcisHSNInu9QtoY0JkklULj616ze6FILq4khSKazuh/pFtLxk/wB5T2NSaR4ft9Pf7TFC8MrAjLtkqD2GKXtEHIzK8QLNdR6/pqNuaWyEsQH8Ww5OK8hihdiGxkV7zrOlTTyQ3tg6peQfd3cqynqprAtPCNnPe+dJYSwLu3NCXBT8MdqI1I2CUGS6Gz6Vp/hhZsoGPJP8PmE4/nXlN3ZSx6rdW8isJI53DD/gVe56tpS6lppts7JF5iZR90jpiuduNDj1e5WTUoJLa+UBZZYcFZ+2760RqIHBk3w4glg8Ozq6kI05K/gBXXHvVewtILC1jt7dNkaDABPP41Z9awm7yNYqyGDjNNNOI59qQ1JQ08CkzyTSk008ihCE71a0wr/aEaOcLJ8h/GqopVYxzJIOqsGpvVDR6BaRSG0EUjbnQ44POO1LkhcbBvpbGXfEZQ4dm5JFTsnnJkHDA9KxSvET3KoGW5Gc+lDEovzrx6gVYQEp9wg+hpwViDlRx2xSsBUjMjkY+4exFOe3B5bPr1qwFYHO3A+lK6OQSKrlC5W2EZZeR7VGkOJCzp09fWr6xnbjNMKZySeKaj1FcZaxhFIC8DnFaQUkA4H/AHzVCHcruBnGKtLOwUDBq4MmR5bTgaiz604HOK9Q88kzQeBTBmlJ4FAxQajuMm1lx/cP8qdu4plwf3EnpsP8qaAlsz/o0X+4K0YCAw+tZljlrWI/7A/lV6MMD7VqpEtHoWhEGx49a1K5vwtMziWMngAGukrlqfEdMNgoooqCgqCS7jjODkn2qVztVj6Csh3yxPrVRVxMmm1NgCETB965PW7ON9NvZjGvmGNjnFbshyao6kvmabcL/wBMmqtiWeaaGG/s1N7lzuPJOa1MZqlZGG3sQc4Xcf51KJ0lXO/bg/dFF9SeW5K0iDPGT+lRgvu64qIzpGzMzDgYKntVT+0Gkdl2EJ6nrQUopFyaTjjk+tUmk2gs5CovVjTTcptZ2bCr941j3tzJdtn7sa8Knp/9egZrxT/aVLDiPPyjv+NB5fA5J6VR0SK4uZnt4Y2kkPYdF/GpdWMti72gINx92VkOQv8Asg/zouAXF2kzC0tBj/ntJn73sPb+dOeSG3jxwFUdqxYS8LHHBqO/u5rF0uZV3BfmoA6yw0bVL8eclr5EP9+dtgx6+tVJNsczLbf6rPzyf89G9fpTX12+l0uJJnZXnXcUP8KdvxNVknOz0xzzSGWCzZ4ORUdxcvbw7lPIBxWlp+nWksYku7h493OxMZA+tdBbN4TtY1M0cbsO8vzn9f8ACgDz3TNXvtWukto/MCn78u35UHck9q27mWNZN53DauyP2FdL4i1aK4SPTrNfJtosO6oNoY9gRXMXDwhC8pwg70JCuY2oX8nnbGbaAK6LSNR02ygiLiOSTHLMMmsm+06ze1+2TqxQDZGinHmsfU+gHP5VhG1iSRBGjhSD/wAtTxQwPS18fW1qSCiPjpkZ/TpUcPxCvNWv0tbNRGnLO3ZEHU8V57DYxyTcWzSk9jKa7PStPTTNN2CJI5roCSVR/Cn8K/1osDZNc3TztLPI5LMc/hWZcyiRQF4PqasvPmaWIp8oGQ1UJmCIvPWmIhs1upWjtN++SR8A9dvvUd/L5uoCKIA2kf7pA3UKO/49a1LONbbTnvzKVmuCYYV/2P42/wDZfzrNuOXO3YrE/LzyR3pFIHKFY4ioZQ3fp+VVppBJeuhQgL0PY1WuL/7PqQRhn5QfqKssm9i8YLljxjvQBe0m1igim1N1IeP9zbn/AKaN1P4Ln86qyrM80ysV8ll+Uj72a3dQtfsMVrpqyBhap+895m5f8uF/4DWM8bG4L7wY+OO9Ai19nWGyjTmXyxnBUEn6Ux5cRD5SuR0NV9RmkFuuyQqc9j1qG00PxFrhL2sTeX2dzgUXFYuaZD/aGqxxyf6iMGafn/lmgy1akUn9oTS30zDzJn6eg7CpZfDl54f8PtDcyJLqOoEK20Y2QqcsM98tt/Km6bbvBCTc4AHIJbpRJjRbFvGi8IOmM4rmpL65t7h41I+qgV2FobB8SXNzIQ3SOPAA/GrEdz4MsmLyWETOO7/O2fxqSjjLG21i+ut9tE7juWICmuui8HaldNH5kkcKfxfKXb+gqw/xE0ixUJZ2qqB6DH8qybr4ozu37lFXigDdn+GOkXyj7c08xHYyBB+nP61oab4K8JaIuYtMsAy/xSp5h/N815zc+PNSmJP2koPrWVN4pmkz5l27fjQB7Y2saPYIQskKKvZAB/Ks688dadCpaNixHGAK8XbWxJ/fY+9MOqyH7qoB+dFwPUbn4hM6/wCjxkfhWLd+NNVlJCyBB9a4VtSbad0hA/Bf51XfVok6sjfVi1IDrp9evJh++u22+xqg96X7ySEfWuYbW052MfwTFQS62SMF/wDvqSgDqXvGxzsTHTca3vAwa88TxHerrCjSEDt2H868tfWE/wCekYP+yM1658G4zc6bqOoMxIeVYkJHZRk/qRQFz1CMAyDIqR9pb2pIotxJp8igHpVCGRLwf0oOC3PSnquaTb+9C0AYetOHvtg+7GgH49ay+ntU91IZbuaQdGc1ATUMpbBuyabn5qUnFRgfNUvctE+Kt7FFin975n/ko/rVQH5ee1W7zCRqinptQ/8AARz+rH8quJLZUApQKUClxSsAmOTQOopxFHapsO4xuSPTvVW+vY4FVHPAVpZB/sr0/X+VW8c1zOuFf7XSGQny7q0lhXH97rTSEzxvxd4luvEWtTTSSsbdHKQRHoi/T1Pc1n6Pq15pGoxXdpMY5EOTjow9D6iqNzA9tdSQSAiSNirA+tPigd8YBx3pkn0to+oR6nptteR5RZoxIB/d9R+dcb418U3WleHg9s4jutRdkSUffSMenpxjn3rc8LCZvCdir8SNajH5cV5p45f7TomkXAV98ZaFz2BxjH5rSiNnFeaxk3k5Y9zya9c+Gniae7ifTbuQyPAoMTNySnofpXkMQyR/Ku9+HNs/9vmRBwsJ3fjTewLc9Y1LUoLeQpK/7uGNriX6L0/rXgXiDxJe+IdSkvLmVwhP7qHd8kadgBXqPi1JptR1C0jy0k2nMUA6naTn+deKAZNCBs7HwV4svNH1WC3muZH0+ZwskchLBPRl9K9b1g7o93/TRMfnXgVjaPNNGijLMwCj3r3LVGMWmxq3BXyw36U1uA7xT4qGieG59TtsC7nlNrZlhnaR95sfgf0rxCTV9QmujcyX9y05bd5hlbdn612vjgST+BtIlHItb+4hm/2WPTNedqCxHf2oEz3HwB4pm17TZbe+l8y9tsfvO8kfTJ9811V5qtnp1leXk2DBYQ+c6f3n/hH8vzryz4WROusSyYYKsDhz25K4re8UmW48NeKrZMmSN4J8esff+VSl7w29Dz7VvG3iDWL43Fxqc8fPyxW8hjSP6AV6J8OfGF1ray6Vqc3m3MKb7eZvvuo6qfUivGVGW9vaux+G0Un/AAmlhKgOFLlz/s7DmqYJntr3Nosr/aJQsFvEbi4z0CDpn/PavFvE/wAQ9W1jVHksrya0sUbFvDA3l4XsTjqa77XfMmtvFNrGCZn0pWjA6sAxzXhqfORxxQloDZ7J8P8Axrc64zaTqsxlu0TfbzEfM6j7yse5rufOi8zyXIA2GSTnGFH+f0rw/wACQTr4z0woORLuOP7uDmvR9YmlkutYs4s+bJppaL8Cc0rahfQ8+8Q/ETVr7VJf7PvJLOyRyIUi+Ukereua6zwD4yuNaMun6lIHuVTfHLjBkXuD7ivHBnA9q6/wDBIPFNi4zwWLf7u05psEz1SwZIdeuJHOALf8+RiuZ+IPje50i8TTNKlRLhV3XE+0EgnoBn/PSrmqXbW97K6nACxlvpvGa838dJIvjbVA4+9KGX/dKjFFkB0fhD4hagNVhtNXuvPtpm2+Y6/OrHpz6V6rPOsSf7bttUe9fN9nEzTpgHO4Cvc726e3vdE87PzSYb67Kmw09DjvGXjy8tdXk07RplhhgO2WYIC8knfk9hV/wJ40uNUu3sNRkVpyN0UgXbv9QccZry7UVlGq3iyD5xPJu+u41t+DIJP+Ep09kzkSbj9Mc02tBJnulxdRRh90hRVRnds42oBzXkmofE3Vn1GVtNaGCyDfuo3gUll9Wz610mtXk88HiC2XPmixJTHpnn9K8hRdzcdD0pRSG2z37wt4hi8R6Ul0FEc6nZPGOiP7exqbxVrtpoGjS3zYkIby4I/+eknv7f4Vwnw5We2s9XkUHywif99c/wBKo+ObuS98LaFMSSpnmDf73FLl1Hd2H6R8UL86ki6slu1k5wxhi2tH9PWu81QiSezZDuVpUKkdx2rwWFCW6cZr2OJ57fw3o3nqVlVY8g9cdv0qrC5jf8Qa3a+HdGl1K6QSkv5dtDn/AFknqfbOa5Dw78TJdS1RLPWoLaKGY7YpoE2+W3YNz096x/iJdyXmk+HZskxtFNn037hXFW0O5129e31pcqsJNn0csTeYUON4baAe5rkPFHxFtPD2pNpumWcV5PEdtzNMxxu/urj0rYg1CVfEmjW82czQqTu7vsrwe7aR9RuWf75mct9dxpRgrDlJnvuja3ZeItMj1CxDIc7JoWPMb/4HtU2t6nYaBpEmo37M8atsjij+9K/p9Otec/DWaa0fVs52m2Dgf7YPFVviLqE97peh4/1DRu3/AAPODSUFcbk7HU+GfiHa65f/AGC8tI7OaU4geNiVY/3TnvXbQweYpywUDue3qa+brBZFuY5F++jqU+ua9v1XWbgLqNsuRL/ZzyJ9duTQ4K4KbsYOofEvTbPUzbWltLc26Pteff8Ae/3B3rfvL231LSILy1ffDL8ynFeCxIZMYr07wc8yeE5o5M+XHcfL7ZHNU4oXMzv7m8tNOsZ77UJmhsbZQZGTlmPZV9657SPiLoutaiLD7LLZPI22CR33K57BvTNcx431Ca58D2AB+STUpRJg91HH8zXn1qsizq6Agg5B96XIrBzM+kNjSSCFWVJD/e7AdTXHXHxF0G11BrMfa5YkYq1yqgrn2HUj3q9q2rSpDqsatiYaUZVbvkqM14hbQPMwRB2pKmhubPpC3K3EaSRsJI2QOrLzuB6Yrndf8W6R4bvfsl201xdkAtHAoIjHuSRVDwlqs9j4Y0dX6vctCCf7ueP1NeXeIZpp/E2pPI2XNw4/I4/lQoIHNnuumala6tYxXdnJ5kMnQnqPY+9XPWvPvhfJMLK9hfPlB1ZfqRzXfk4rnnG0jWLugPSmnpS9RTT9aRQ00lHfmjPNAhDkfSkJpx/Soz0poDudEk87R4Gz04PvitRAyMrDg5+bPpWF4Sm8yymhPVJMj8RXQOQM5wT2z0qbWExs0saPv81FXuSeop4ZSu6q0rp5Rct8ucbdoqOJp4ZQJmJjPQ46VLlqFi9nIyM0m9h1AFGRx3oIyp+U8VW4hGZcck1GWIi5ApSS2MVFLlRz1pPRDEgdfMJYckdRU3n7eMHj2qooIK5AwauhVIzwPaiL0BnmRFKtLSivWPNFwKUD5RSUvaiwXG0ycfuJP9w/yp/WnoIzkSZ27TmgpE+iWM11bwKiEjYuT6cV191b21rpv2bYGk29hzn1o0M2cGk2yQyIAY1PJ9qu29uguJLgPv3fpUORqooreFlIluPZRXTVjaPbtBe3O7HzAHitmpm9RxVkFFFFSUNl/wBU/wDumsFj6VvSf6tvpWEBj5quJLI2BDEGuY8R+JodPWSwgxLcuNrn+GMf41Y8UeJE0VfsdswbUZBz/wBMQe/1rzOVt0xV929z971NUKxHfXUgmKCRmHqRiruiXNmsztfrJJsH+qDbRitCy0TTmRX1PUh7RxL8w/E1l6nbQmSWTToXjsxyGlfLSf7R/wAKQy5eXcV1PmKCO3iHEcSDgD+potYVmRi8yRxqMs7dhWRZQ313KI7SGSZh/Cq7q0JYpgipOnlsv309x2oFdmdeRzXH+pUiEN8oPVvc1UFpcqzqwx+NdHD5briQhV7mtbT77Ro2O20SaULuZnOcCgaOX0j7Vp6SSO4CMcR4PLn+8fYVYcb1wRyas391Je3UlxKAoc8KOAo9KhnhK28b+ZsaRcqMZwPWiwFmy03T2Ae7uGXHJUY4/GtW5fw3a6bLKllHczIMR+eu8bj9eK4RNK1AOUGpb9xwB5X/ANetnyBaLbWay+aIuXk/vSdz/T8KAKsoaXLsm52OcmpDa/aYNxkZCx2KoXJY/wCFWzbmV4kQncxwKkhR5rkSqm2GJdkXuPX8aGCZkf2Dqvmtm/XB7lf/AK9SaZo7xXrXN3MZUtznaVwGf+H/AB/CugBOOeTUd7Msci22DmH/AFnu560hmfcyP9pcsxZjgk+tKpd5Y4tu53YALjrUMzDzQV9K0dIj3u14TzAuE/326fkMmmSXJ4Ifkh2h44hjnue5rNudOtnZFxsJ/u1psvHFQumZFP8Ad7UMYzTLK3SUBkKxxoZZZCOqrz+vSnQXLXsjzzRgNKdxx/ntVtx9nsViKfPeHcT6RJ/i3/oNV7FBLtjXB3Z79KBEUyKFk6DNZjRveXNtZ2+3z5XEaDPc11o8OJMp83UraDj/AHsVFHoOhaBaXGq29+95qUY2RSnojvkZA+m6gLHP6xOPtixW0O+CHEEQH91eN34nJ/GmNZl7iN4k3PjBGMnHtUUkMTSR3MrlGj6c8Yqa08e22hPLCkWJQ3J9akobceEdZ1O4R7XTJmwu3ey7Bj6mtvSPANx4aDa3qlyjR2q+cbdQCGYfdX88VkXHxbvyrGIELn7zVpXWs3t34Ps7m6m3SapIZFT0ij4H5nFNAY17cNKfOZ/mY73PqTVvSrjQnjdtUbzCDjyi2BXN6nITKgLHGOUxxj61yesNMtyZI2OG60mB7ZF4w8K6ZzBY2vy+ic/nUMnxX82dYLK2G6RwkYC9ycCvGYAnkZmyZMetbPw7s/tXjWKS5yYNPje9c9vkHy/+PYpAereIdRludYkSSRXkt1EOc9SPvY/HNYk9yTA6Shfmzx7UjBnneaeMEj5g/ck9az725cNxhh/dPGKGBxmpX19p9w6IxaPPy81Tkv5zCZPMOcfhW/qdn9tVig+Ycj61yTIwkZJAe/4UhkR1iZsgyEEdRSrqfHzzVH/Yd/dShYLctwDu/hx9a1LLwHqN02HnghHfOTQBSOpRqu8+YwqP+3owMJF+ddhF8O0CBbnU/wAEjq9afDrQF/1gu7g/7+P5CgDzx9dkPQ49lFINVvJ/lRJ5PYZr2C18I6La8w6OC3q5z/OuhtdNEMaokFtCv+8Af0oA8Gh0zXr3mDSrgg92Qj+daVv4G8VXQ/1EcQ/25AK9uJSLBea1T2wWNRvqttEpDX5x/wBM1CinYDymD4Wa1Nj7TexoPRFLVowfCW2XButTk+g2rXaz63ppJ3ySy/VzVR/ElhF/qrUZ/OkBh/8ACC+GNNhaa43zBOvLOT9AK9W8HabY6b4et4bCERwSZlUAY6151c67/aMQtzZq6scAbTxXqVgFstLtbdQAY4VUAUAascoGQR3pPMDGqUchC88inpISBxxVCLZZcA9BVeWby4pZQeVU02WT5QBVW9lC2Eo7txQMww2fpQRznikHBp3qRUMoYc4oAwR70dqUdQaQyzaosl1EjH5S3zfSluW3NHn+Jd5/4Ed39ajjzsnZfvLGQv1Pyj+dSzqPPcDop2g/TirRL3IgOKB2pcelJ0pNCA0uKaxCDcxwKZ5yq2GDDnnIoKRIhJLHHsKx9e0x9RtAbdhHdwP5sEh/hcf07fjWujggFTkGg4yRSA8j1fwvb6/eGeWRdM1f/lvFKmIpf9pD3FS6N8P/ACZQb2aNlU8rE2S1em3NjFc/u/LMhU5Khd35jpTFskscM0PlEe2Km7CyFsrUQQIgGwBcBR2Fcl4g0aONbuC5heTSLw738pcvbS/3x7fyrtg4U89fWmT+UsJaQgAHOT2pIdjxqD4fXDOHtL2zuLcn5XL7T+Ir0Xwz4ettIhxFlnOGlkP8Ten0rRj0m3aZpvKw5PXZtrTRFVQqjAHam2wSRg+ItJnujb3thtW+tTui3dHHdD7GvPNS8JWer6hJdafKtnO7ZuLG5Gwxt32+1exEAn1rOnhs7mVY3jWVuw25x60rg0jkvDfhC0sJluZnS5uI+UVB8iH1962/EMf+hTDuADW0sCw4CIFHpisrXxm1nx/cppu4NaGRq1jHatfJeQPPoepIPtAiGWt5ccSD29a5SL4cyGfzLHU9Pu7Y/wCrkMuGx7qO9eqyRRSWQEp/dNGN3OOoFV9O8Mw2skk9tYbTIcsxHLUczCyK/hzQo9EsfJV/Nmc7pZcY3HsB7CoNXtZbW+XVIbY3KmNoLy3H/LWFuuPcV0e3Z8pUqw4we1NbBU7+3U1N3cdtDyKT4fwXk5udB1G3ns2OVhuJPLli9mBruPCvhqHQIpJHaOW9lXa7J91F9Aa1hplvcz+dHalx/wA9NvFXkQRHy9pUjsafMxJIxtat7m3u7bV7GISzW2RJB086I/eT6964K/8AA8Gq3j3+g3MCwyOXeyuW8p4G/u49K9YdfM+Xr7VRl063nkWT7P5ncPjj86FJobijC8JeF10EPcXEqT30i7AU5SJe4B75q14gsryK4ttX06MSXVrkNETjzIz1FbsaLGNqrtqQAudtHM7hZWPH7zwZBqN419o0sfkyPue0nby3hbuMHtXY+EvDH9j+bNM6PcSrtO3kIOuAa6VtKiuXEott4/56FeP1qybY24CFSvFHMxWRyM9guoarNbP0mtnX6VzOr6CNeSKC8kSz1m0XyvMl4juox0O71rtbXjxHEfWKQVqXNrDOCrR+YerLjI/Gm27gkjz7w94Ga3vY7i8MbiM5WON92T7mus8TaZJfaWDbNtuoWEsTf7QrYgt0hUBI9i/SpHGVFK7Hax5Df6Hb69fNewyC3vTxc2kvy/MB95T3rp/CnhkaddNMwVpHXbkdEX29zW8+l2ckxldPMOeTtG1fzrVtzEqARgY/nQ5MEkcp4jsp7LVIdWtoPOjCmO4iH8cZ61yA8GQz3Hn6XdRSW0hyqyna8f8AskV66ypIrbhlcc1UisrZZhKtuEJ+67kDNSpMGkZuhaNHpWji1GSWy0jf3jXK6jpUSQXWjahuis55POtLnGRBL7+xr0Vht4Iqvc26TIC0W8ngLjOaFJjsrHmWj+BJlvU+1NA9qOS8UmS49q7DXULJDx0dOnatuGzWBdiRIrdWRWHH1xWTrv8Aq19mX+dUpNsTSSOY1XSUaCbQr9zBC05nsboj5I2PVG9M1DoXgaSO+ie9MRt42z+7k3b69FlgWU7WTfu424zupIoo0DRxhMp99EYEr9QKlzl2DliY+v2dxK0OoWf/AB+WriWIeuP4fyrjb/wmmtalLqmkGMrcHfNayMI3gkP3htPbNel4y3AOT0qB7OJXE7xqu3/lq2B+ppRnJDcUZugaAmi6ZJA+x7mY5ldegGOFFczqmjpc2Umg3h8gLMZrC8YfIM9Y2PbNd+fkGKQ2/nfL5RkLfw460Kcrhyqx574e8DzQX0Ul8IhDEwOEcNvP4V0evQTQ3UGqxRNMsYMdxGo5aNuGxW+kCRBkj8vKfeRGB2/XFOC7s+mM0Sm2CijyVfBMhu2l0yWG6s3bMT+YAVHow6giuzbTRpvhtLVMZX5nI/ibua3ntba3kE0yR27OdqtI6oXPpVfWRiwcY7VXPK4uVI4/UtJjkgutGvm8m1u3W5srk/dinxyGPYGodA8AzQ6jFLqHli1jbdw4bf6AD0rvGjR7SBXj8zcg+UDOeKLVbWItDCI0deWjR1yv1Apc8uwlFGH4khkgvo9VELSx7GhuYl6mJhg/lXI2ngeYNiznhntJOUn8wfd9x616g5BG3Gc1QX7HbXSrKkcM78qm4KW/ClGcrDcUZmoaK8XhyGzsjiS2w0R9wc1xl94cOt3z6lY7N0v/AB8W7NtaOT+Lg16uRnFZ13BZpIZ7mOKMdPNk2rnNKM5DcUUPDGkf2NpYhODKzb3I9fSt4/0qOPaY12HK44oBx9azm23qWlYeDTSMGlzxSZ5pLYYhFNxzTicU3PSgAPIpjU400800DNrwrcrFfSRueJE4+orrxtkPzdP7tefab8uoR4OCeK7ayvPtGY5DtkUfNjuKiekgS0LrsGXYOB/WiJt6mKUDgYH+FB+RQTyO3tTDztZh16Ur2ETquwBCOR0qKeQodw57ECnhvNXY/DL096YYwep5obtsIb9pBXpgDuaryzEjqKmeJMk4GaryKm3gDP0rOTZSsCSDYCcHPrV5QCoPH51mMWER6DbVuOb92v07dKuD0Ezz6nA03NKvevZPNHdaKTNNZsD3pXExT+lRvkBvTBo3FgKSdxHGxbsOtND2LenTsLC2O7H7tf5VtWmsTQxNGD8prmdNlEmnwdMbAKuo/OKJLUcZM7nwzM00k7MSTgda6OuV8IHJn+grqqxnubw1QUUUVJQ1/uN9K4/xDraaBp4cENeSj9yn93/aNdPqN9DptjLdzsAka5+p9K8R1bWJNV1WS5ujzJwPRR6VcRMotJNeySbC0t1KcnPJY960YPBmpXcSrNeW1mDzh33N+lc7qmoXGmnz41XA7r3FV9K1q61iZyHl8uEZ9iewoA6CfQ4dLvDaJeyXpC/6RLjaq/7A/rS3tuZ7IxhJPlXKY70tlCyKzzybgTuYYq9K5DgbTlvTtTEU9E1a8NpIgiltET92qsu0n3pZypUu7YVfmY1LJMDJ1yo4H0qnekyywWqfxHfJ9Owo2J6ixQi4tW89MK/RQccU1bC20+F4YA4YkGUl89uFq+r7VeRk+WMZ2+voKohP3LSNuLM2WJ70IpiwILi48t+I1G5z/simXEhnlaQjaGPA9BUj7rW3ChRm4O8n0UdB+efyot7G7viVtLaSU/7I4H40ARxObeGS7wd6/JD/AL5/wFVXtyrW28sdwNW7okXP2Q42WwKcfxSfxGtSCz0y5EbXWoLDj+FME0AU9MtMQNM+Srfu15/76P5cfjV6QrHEW6BRUtwkFtILe23GCP5V3dT6k1m3Himy0e4aO5tUlJGV8wAr+tK40Q2uptJdySCPEECl2J/iPQD86pw+bdXHBLyM3X1Na+qa3JrWk2WyCO3hkJlCRqACM4HT8a5rUjc2kBa2crKOQaBM6m38J6hePveW2t1A6yyc/kKsfY10iMaf58czRsXllQYDO3p9BgVwPh6/1PV9ctobu4k8hX3S4P8ACvJ/lXaGfzmeQ/eZixoAfLrOnafMgveVYfKM9antvH+mrcx2thpcMk8jhEyucknArkvEVql9CVYcjpUXhKP+zpLi52A/ZYGZSf8Ano3yp+pz+FAzqdc1Fr7xBczBw0Y/dR4Hy7V44/HNctr15dW1pbSWb4kAOQP4qlieW3kCXU0flqOCoqjqknmW0ezlVyob1pkmImsajdlvOuJIx6ZrubdHsvDWl2U3+ulLXszH1fiMfgg/8erlbTT/ALdrcFjGozcMiD8a7HUrlbrUDIF/d7tsY7bFG1f0AoQzPndZY3R0BTPT1rktatVmvUbYMjuK6t9hV3VvqCKyLsAXC7gMAdTxipGZSwfb/K0+JcmaRI1Uf3icV2viRvL1P7Hayr9msUW0hJ/uxjaT+Jyaz/ClvCviP7Y+GjsoJLv/AIEq/L/48RTZ1dmDGU+pwOpqhGZdbxGQ0hc5yM1iXIeSRcxZOfmFbV3uDqp6E9az3UgN8xyenHSpGZdzMYpCo4+teg+CLE2nhHUL+RQs2oXKQRf9co/nf/x4rXBSxP5bb9pbqDj869Slj8nw5olnF8skNkJnHbdJ8/8ALFMCKZnUgl19BxVSVEfIfb5rLkkA/N71IBJLHscBSfSqV1cNbzLZRFQ/A3notJgRQQxWzPboXJXklq5nUoI/ME8alY3Yjn1rsHV1j+chpcckd65jVEnuYN7QFNuQPf3pAaNgYooY4/MO32rWguraFvlyw968+g1SSJdkn3l9eKlGsvj5pgg9utAHocWvq5eNI1Do2DxThrdyCCpC+5xXnX9qoFLPNNz1xxUba5ak8RTSfVqAPQpdauC5DX0cf/AqoS68n2poXv2wED7gDhvauOTVpZiotdJeRu3yF6vQjxXcMPs2gXJ7DbZH+opDN06tbFjhrqU+woN5vH7vTbhv+ujGqcPhf4gagAPsclurf89XWMCr8Xwo8X3QDXOq2cPt5zOf0FFhFdru7UZFnbQj1kcf41C+ozr9/UbCLPZecflWwnwT1B2zc+IIz6+Vbsf5kVo23wNsNw+06veyH0RVT/GgZh+G5lv/ABRp1r/a32gtMG8uNTggcn+Ve3SSKWYgYrjdH+HGieFdQj1Gz+1yXSgorzSbgMjnjFdI0hKjrk0AXhL2pRMBVDdk5JNOEwzQBdeXIA9KoajITDGo7tUjTA4AqpdHLKM84pgQBfpmnZ4HrUQ61IOlSVYaT1py80w4JFOHFC3AmjbY0XHDSjP0Ubv8KlDbmJPBNVwR5kSk/djZvzOKmB+b1960RJMANuTzTQFz9aXHAx0qC7LLbS7fvbGx+VOwHM+K/FKaF4ffVI1SSaZzDZox+vzH8iT+ArxS68V65e3ZuZtWvN5/uSlFH0UcV0/j25aXwp4fBXjy8598YP8AKvPEOazA9d+H/jW6vrr+zdSl8yYrmGQjl8fwn3x0Nekyz4MEMTBZrmQRxtjOM9/yr5/8Fo58WaXsOD5459q9mubiSHWNH6lGlkRc+vlnFA76HG/EX4hXdpeTeHdDnkt7a3O2e5Q4llfvhuwrh9G8Y65pN8tzDqNxIf4op5DIjj0Ias/xGJE8SakJFKt9pckH61npknpQI+lNK1S31vRoNSgBRJxuMYbJRs8rn2NZ2v8AiBNI0a71XereQ3kQIf4pP8/oDWN8MlkHhR1fIBuH2Z9MLn9a5/xr50/geNl3bYdUlEoI6dQM/nUpajOJvvEusX941zPqNz5hJI8uQoF+gHSvSfh945udSn/srVZvMlC/6PO332x/A3r9a8fXLGul8GwNL4m04IDnzgSfam0CPfLifDR26Ph5u/ovevEfGfjS81XVHtrOdoLC3bZGIW2+ZjjcSP09q9N1mSQa3aQhtvm2syhv9rANeAFSjbSMMOCPShAzq/C/jXUtEv4vOuJbixZsSwyOW+X1XPQ17BrEqT6c8yHcjxb1I7jGRXz7bQs7cKTXubq8HhO2icnelmuc/wC7TsCZoavr0OjeHbvVflkNqiRQoejTEDr+f868O1DxJq2qXrXd1f3Lysc8SlVX/dA4Fd/4sjluvh/egElrXUI5JR32sowf1ryhVJ/lRYV2eyfDbxldaszaNqUzTToha2mfliB1Qnv7V3NzfwwtJ5uPIgha5lJ9un8j+leL/Dq2l/4TCwdMjazM302nNeg6yJZ7rWbFG+afSnMY9cZ/xqbalX0PLPEXjHU/EN80800kUAP7q2jchY1/qfeul+HnjC8TU4dIvp3mtpztiaRsmN+3Pp7V5yg8w5HQ+tdD4Ws2k1/Twn+sadcY+tU0JM+g/tKKViO3LAs2f7o7fnivCvGvi+813WrjZcyLYwyFIYkbaCBxuOOpOK9U1CV01uCHkfaLaVF/3uorwKeCSC6lgkUh43ZXz6g0o7BLc7nwD4tu7TVodPup3ktJ22AOcmNuxFe02jxT3sNm3WbLPz/CP/r187+HLB59VtFCMWaVCuO3PWvcrOcw+NNOV22pcW80S54wxGaLajvoeQ+O/GN34i164CyvHp8DmKCBGwuAcbseprV+Gviq7g1aLRruZpLG5bYgc58p+xX/AArhNQtJbXU7u2lUq8UzowPsxrd8F6bLeeJ9PRCQVmV2PoBz/Sm0SmermVbXXVkk4CJKW/I1yPxJ8T3duYdHtJmi3xia5ZDhmJ6Ln0rb8QO8l9MU6skpH5E1wPxCQza5bX65MN7ZxSIfoMEUDM7w34nv9C1OOeGZ2iLYliZsq69+PX3r3eW8i+zxyxnKTbfLz/tV88Wdm0rqAOW4HvXs+qrJpegaXv6WjQiT8OtS0NM8+8f+Ip73WpdNimIsLNvLWJTgM/cn19Kj8B+ILnTtbgtGlZrS4fYUZuFJ6EelZPiuyktPFOoI/R5fNQ+obkVY8K6XJda9Zp0AkDE+gHNU1oJOx7nNfRQK/mchI2mf6LXz9rfiC913VJL65lclzmNNxxGvYCvXtR8xteNozYW8spYl/wB7FeJC2kSYwyKUkQ7WU9iKUQZ6v8NvEdxqFnPpd7K0j2yh4Hbk7M4IJ71seMfEzaR4VmuLFzHcXMv2aFwfuccke/X9K5T4b6bKLm+vMHy44PKB925/kKj8SQy33hG8iwTJp18JmH+wwxn9aLalN6HEWWp3tnfpeW11LHcq+7zN5yT7+texy6iusaBaajt2+co3j0cHDfrXjFtbM7bu2a9at7aSx8F2MDjD7DKR6bjmm9Cbljx74mk0zwwPsEvlz3UvkJIvVUH3se/+NePaZqt5puox3lrO8c6NkHcefr612/imB7/wpKQCZNNv23r/ANM37/SuLsrJpMZQ5JwBiloJnvmm6rb3lrY3BAU3qqyp6f3q8f8AHviSfWvEtygkb7LbOYYowfl44Jx9a726gfRbHRHJOyyKLLn3PP8AOvM/EOlvZ+Kr63fO15mlQ9ij/MD+tKKHI7X4aa7PMs+mXMjSJGnmxFjkr6rXR+OvEzad4M36exinvZjAsi9VQDnB+g/U1zHw/wBL2XFzdcgLFsB9Sf8A9VHia1e98DSouWuNMvizqOvlt3/WhWTHe6OF0bWbzSdUivbWVldGywz98dwfWvf7TVrZmhYcCSE3GD/dAyP8+1eBadpk1xPFGiMXkYAACvWbyNdK1fSYSxMBiNmW7crtz+dDSuCZ5HrmuXOvaxcX08jnzHJRC2Qi9gPTtXoXhDVbi/8ACk9tdP5klmcK7HOUI4H4Yrzy40Say1S5sJAQ9u5Q5HX0/SvRfDGmtZ+EZ7lwRJdNwpGMIvQ/iSabQi94z8RPpvhNjZSFJZmW3WQdV+XJ/rXk2k6hcWGpQ3VvM0ciNncO/rn1rvNdspdT0HULNVLT2pjvY1HV124bFcfpGjyX1zHDGCzOegFFkB7X/bFt9kW52fMbY3Sj2214Hdahc6jfS3k7s80rbs+nsK9i1a0Fnf2SMf8ARZYWss9NuVwCfxryoaPcWd1LBPGyywuUIx1xSiDPXPCGu/aPC9pLeSCSVn8knv17++K828f6xNqnim6QsfItm8uOPPyjHU12dtpM2meCUwhEyyfaSvf/ADgVx/ifSGbxEb2JM2t6izo4+7kjkfWhWBnT/DHVJriyubCViywYeP2B6ivQCAVrjfAWjfYNPnvW+V7lgqIRg7V7/r+hrsRkDFYVF7xrDYbgjPpQeacaa33ahFAeQaYwwBS5+UetIT0xQA0HOaH6Yo6KfWgnvQgCBtl1Ec8hhXZXMZglEsb/ADLzXE5+YN6V0kvjLR4YhHMLkyqMNstmbn61FVXKgb9vepdYPII6p3FXgrEEN1H5AVwC+ONNgulkitNSYZwf9FPAruklV4QyFiWXIIPHNRF9xyjYCPnyvXsakJDruAG9e1MVSFXJGcdqduxIdtUiBrMWGVWon3spJAwah1e4vraykudOtUu7hf8AljI5QMPqO9c2fEXidsf8STT4wRnm6LVMlYuMbnRkZzuIyy+nSmpuCAcflTbGSeewimu444ZyPnSNsqOe1P8Al/zihE7M4Ld7Gnbsdz+VKFzxUgHHNezc8tkJbP8AjimNVkrxUe35jSY0QBsjPpUV3IWRo9jF5BtVQM81cVc5HGKp3LQOnyvG5Q5A3d6V7Dtdle1Z7e0htpUZZl7VrIzEglazrK2RTkQrGu3KhRgDPNaIO3gGq5r6jaV7HaeEJczzJ/sA/rXXCuC8FysdUdCOPLP9K76sp7msNgpCcA56Utc94s1pdJ0mVlbEhG1frU2LOM8e+IReXX2CGT9xAfnwfvNXn8sykkmQkdOlaYjgvWPn3qW+75jJICf0qWKz8KQEi81K6uyf+WcaeWv86vYW5zct1aROksj+cnTYRnFdMrf6PFGEVFUZ2quMZqxDf+GY0lTTdCt96oSJJTvI96o21zcR3UAiAZy+WJHAHehCZoxRMsK8/ebcw/lSXZa3hV3BUycJnuO5p1xcO7SSZyWrMlZ2VVmlaR4xjJphYvWlul35jebGiL97c3J+lJIILTzLmRgMkbpG/hFUtLtVE9xeZO5v3S89upqzfR/aYTbcYk+WgB9/c2pS3SzlkkRh5ju4AzzxiqcfiKKz1OG0NilyZ32qWGQKpvPHDIyRJmNVCLj+FRwKltkETzXRTcy/InsT3/KgRJqV21xfTzcBWb5VUYCj2rO0bXNVXWntlmKWMSNMdv6D8SammcHNRWyLaadLI4wZ364/hX/65/ShjEadsn5vmBzVXSNOkn8TQ3bOxghBmkQ9DjoPzxTWmBG/qK39CgK2DzjAMrbfwH/1zQHUus+dzEnrznvXM67pbavshVfnLgKfxro5jhhUEJWOR52/5ZoSPr0H6mpGV5Wii/dQ8wRYij/3VGB/I1Rv2XcVHORUbyMNwUHbnpUYYyuS4/A1RJoeHrMWqXlyV5lAhT+bfoP1q/tAXcpIJpY42t7C1gYbSQZT/wAC/wDrAfnUAkeaWaFomRFHD/3qBlW4jwo3uWO7vUmPsmjiIL891L5mf9lBgf8AjzH8qdcJtQnnIqDVpiLqO26C2hSP8cbj+rfpSGUllmM+6QIOf4TVe+lWSCNFOcMaZPMsQBY/e6cUyKCeZfkhklbdxsQtTEaPh5G/tS6v4l+aztWZATj5yNi/q1V5Lm+/tSJFjZIwBlRypPfJrStLd9D0aa5vYZIWuZlQI64LKoz/ADI/KoEuB5DXLkqJOBFt5zmkxlyUhge4xWPeiGaGRXG5MYJxW2ttLOoCKd7dR7VpQ+CvtEeHvI4h6Km6kBgacFtfDF/MiruuJ4rdM/3Fy7fqFrPNw7Lg+WD2ANdLr+mQ6Vb22kwzecixvM7t8nzMf8FrjSiRv1fINMRLKXcZJAx1rMmu44x7jtmtzTrWC9ugk7ssa8tg9fau7sLfQbKNBDYWuQfvGME/rSuM8tjtzezW1skTSfaJEXI5xuOP616PqN1FcX979n+ZI2KAD0UYA/IV0kGo26xSm3jiXYjNhQBjArkbeNIEdeTvbdk96LjsQQTO1is0y4bqwxzVBJ/tuoL5Nisr9Ax+8K0bl4o4ZW3Lv28/0rL0TVooXYEgZc7vWkBunw3eXmxmaGMjn5mJx+VWR4IWUATX+PaOL/69CeIIIgX80nAxgVCPF8aAnaT+NK4WA/CbSLoB7i8vJB/s7F/pVu2+FXhaAgf2fPOf70kzn/0HFQyfEa4KKqE/QGq8/j2+fp5nP1ouFjo18C+F4sJ/Ytscf30Z/wD0I1qWXh/SLAFrXT7S3B4JSGNM150fFepSHPz/AJCq8+uazN/q32D60XA9YFxFEuBIFA7eZj+VNbULNBl3iJ/E15AbvV5S2+76/wC1TT9ub/WXSn33UrsZ642uWC53SR59lFVpvFVhCpHnrn8K8o+xOet5x7GhrCNuGuDx6UgPSZfG9kBhZhVGXx9bRjKknNcMLCEjaZJDjsFpDZWxymJD+FAHoOkeIP7deZlLbIcdfetbf09a5jwlBHb6dKYxgPLj8h/9et/dg9aaETbiaA2cVAX4oEnFMCwG5qOb75z1xUJky3FPlYMzHvQCGUtNBzS5zSKQmcmnKc/hTQOTThjH1poT2FKeZeON2Akca8fTNWwMd6pWz757puSDKR+XFWs1ohIkzgUjcqfSkzSFsdOtFwPM9f8AD8d8txod0VgkMhm0ydvukE5MefqTx71543hDWLO58m4sJhz95F3qfoRX0BqGnQapA1vdRJJExyVYd/X2NUbfR44TsF7cyAfwyS78fieaze4HGeDPCslhdJeXibJSNkKFclc8En8M12+tafJc6ePs5UXMDLLAx7MvT/D8a0oYFjAC8496nKcdqBnkviXwifFrHWNIVE1Jflv7BzsZXHdc9v51h6R8PdburlUksZLdQfnkl4Cj6d69gudFt2uluw4jnXhZQdrL9CDmrENv8uJrmSUH1YkUBYr6Vp8GnWMVjbEm3gXarHqx7mua1qxhtZ7+3vlLaPqgAlcD/j3lHR/YdPyruAqKoA7VBPErq24DbikOx4hN8N9ZguWNskd5bbvkljkA3DscGu68G+EH0dmuLjablht+X7qL7Hua6S1020Qn7JbkLnJ8oME/TitGNQgwVKkdjRcLGV4g02W9s45bbH2u3cSxE9CR/D9DXm+s+Ck1q8kv9HdIpnYm6sZjseJ/avYeo9aoXen2dzMvnQrJIo4O3LL/AIUgaPO/D3gGSK9STUgiwpg+UrZLn0PtXb61D/oko9UNaUFvHApRE249RiqmsDMDY/uGhBYx57XyLZbl7drjT76ySC/hRctt28Oo7kVxbfDWV5xLpOpWd5aN9wvIEdf94V6npg3aPaN2EK556VLHpUUr+clmo/6aMoXP50XCxgeFfC0Ph9WmeVZr6RdrMo+WNfQVPrtlc+bb6jp6qby1PCt/y0Q/eT8a3/KMJ2Mm00MOOam7bKSVjya+8IadrF493pNwlmztmWwuh5ZQ+1dP4W8Iw6NIbmSRJrkjC7R8qfQ+tdQbUTL5vkp5a/8ALWUhV/WpgmxFYbCvZkbcp/EUNsFFGZruny3Vqktodt3bt5kJPTcP8elcTf8Ahuy1rUWvJR/Z+on/AI+LeVT5bt/eVu/SvTApkIUDJpsltlDNK0MVuvWeaQIn4ZoTYNI5nw94bh0xxMCJJW4BXhV+laut6W2oWqeRK0NzC4khlUfdYVqRpG0Imtp4LiEceZBIHA/KnAbzgUXYWRwGq6Bp3ii9W7vTLpWr4xP+6LwzEfxA/wCT9a3vDnhqz0FXeGX7TcyDHm7NoQe1ad9d2lnF9ou5oILftLM23d9PWlsNRsr6HzrO5gnj6FonzinzMVkY00QfX7dSPlLsPzBrE1HQU8h9L1C3kl09XMlrPBzJbk/w47rW9Pxr1qR/z2rXleIRzTTPHHBCP3ssrAIlDuCSOP8AD/g+wtLlbgPLcSK2Y/Nj2CP3x3rq9R06O/sWtZOY3GGqlpXijw/qd19ksNUikn7IVZN3+7u61vEgkGldjVjze88PNdMlrqltI7W/yw3kPLbfRga3vDnhy201mlhDszDDSy9foPStHVtd07S7T7ZfzJDaltsZ2b3lb/ZWm6H4q0fxBvTTrhjIgy0UqbHx6gd6LsWguu6OdTgRonMdzC2+KReqkVyr+F7fVtQaa+tJre8f/Wtb4ZJD6+1d+86QYMh4Y4X1Y+grF1zxfo/h64SDU7mQ3LLuNvaxbyg/2jSTY9C1pmmW+l2K2ttHsjX8yfU+9Y2o6TcQXzXtiI3aRPKnhl+5Mnoa2tM1aw1mxF7pl159uTtO5drxn0Ydqkdd7MDIkaKpklkkPyxp6mjUbsczp/hjSI5hcCwkRwQRFI+5F9uO1aOuLmzb1KmsY/Ebw0L0Wym+8oNj7UUGD77euK29XKvZB0ZXR49yOp4YEcEU1e+otLFC80i5W++36f5TNJH5dxbzf6uZD6+9O03w1pltOlylh5My8qpl3qp9RWyJoo7R57iUxW0EXmTy/wB0Y7e9cnb/ABO0GTUBatY3cNqxwt08m5vqy1PvB7p1l1aQ3tpJbzLujcYYVgtoRIhiv4Ib9IOIJX4lVeynswFdG7KmTvDIBu3r0K+orm/FHjGz8KzRwm3N7qEihzD5mxIl7Zx1NKKkOVjesLKCztRDbxiKMfwiqdzo7i+F7aTLFMV2Sqy7klX+6y1X8MeLLTxPBIYoTb3UQzJCW3DHqpraubi2s7C6vbuYxWlqm+Z1b5mP9wf57gUJSuGhnWGlW1pKJ47OGCfGMx5IX6ZqxqOlW+p2bW06/KenqD6iuLs/itazaktvPo8dvYM2BJHITKg9T2NegnBdVR1fzGAQjoc9D+VDUgVrGIuipKIl1KO3v3jG1Z5YsSY9z0NWdTjVNNKAAADGB2rmPE/xEh0HV5dP0mxhupYW23FzdZO5vQAEVqadr9v4m8OteRRiGeNtlxCDkKexHsapKVydLE50gXcFjeQyNBdwxjZKn06EdxV200m2tZTMILZJm+9JDHsLUn22z07wy19eBmhtbYPIg/j9F/H+orzi3+Kmqf2mHmtbMWRbm2jixhfZuuaHGQJo9Pv7GHUbRoJ03RtVG20dY3XzpY7qSPhJZUBlX/gQ61pxXMF0luYZcx3IDRH1U85/KvLfEXxI1GLWZrbQ5I7axgcouI1YzEdWbNTGMinJHqZiVoyhGQ3XPeseHw/BAzQq+62ZtwtpFV1B7lc8ineHfEUWt6CmpSIsci5SaNem8ensa5r4h+M7zRL5NH0aU286xrJc3IA3sT/CPQU1FibR3UUaxqFUYxSSOqkKW+Y9u9cl4D8WXGv2VzBqLh7q1UP52MGSP39xUfjvxc2j6PZppUhiu9QUyNMOTHGDgBf8+tHLcfMdgAR94c0hrzz4feLr7UNQfS9TuWuTIpaKWQ5ZSOdue4NehmolGzKTuhpGaYfu4p+aaeamwxF+7imk4pQOfakJ49hTQmNrr9IndtJi2DJUEYB9649vu+ma6TQwDYnLlAHwazqr3Rx3Jrz7QzPHuf2VaXSdQMc5s7j/AFbN+5bPQ+n0qd4wWYqWfPX1rLubQ8Jh8k+nSuZaGm51sbqjMGLFj0PbNS/LjKnPrWRpV08u22nf96g+VieWFanljzmmBYMV27c/L9cetbRd0Q1YkByMPxWLf2gtZhMitsJ+Yf3a0zIsUwUsMN3ziiVkmRkOG7AHofak7NWGnYoh9trEQxIxjioyzZOCcVK8SW9ska52oPTpUHzN8wPB/wBmmtBM5JWBp2cdqiU4FODYFeyeWLn3pwGB703OenWgnIoAZIhK8dazZbeYzIw2bB1z/StUHaPrUG7k56VDRSZDZSN9jg5BbZk/nVsNuGe9QWcAFjDJlt23p+JqccgUD6nQ+DJQNc2Hq0bYr0QV514NU/28CO0bZr0WolubR2Gu4RGY9AM15R4w1P7TqXlg7hEPu+9ej63dC10927mvGrx3mlllblnNJFGDrA+0hPk+7z1rJmsptWYBGEDgY3EV0n9kajfqfs1pJLn+ICoH8HeKg4e2sMMeoklVf61QiKy0ptFtykl4biWX5iduNoH/ANetXTFyHmP+6Ky5pJopzDNjzIh5b85+YdcH61s2S7bGLcNpb5jmmIkmbGSTwo3ViyXLjlhy3JrWvcC1OerECs+C0WW4QZzzihAaMcEqwwbXKhR86evf+tJet5dtLL0KphT7nirsjAMfSsjWNogSMNy75b6Dp/OgDHALsQOWxWhaXJito7ORcuQZmJ9CcD9F/WqMOxbldxx71r3MVv8AbyxGBgIMH0pAZ84G47RUl2SjQxHgRRBSPfqf1NWYlt476MPhlZ9oBrOurjz5mlJ5kYn6UwKhjDLwDknpXW2kH2axt4cYKxjd9Tyf51zWm3iW+pW6OoYySbVFdNPc/vnJOWLdKkZFKpYlsdOBVLVFns9NAlTY9xKNoP8AdA/xIpbu6ktYRM3AV8kGq+tXhuXsd/8Azx3f99H/AOsKAM9WyMHNauk6MuoNmS48mM8DjJNYcrEHrjFP8N6nNJr8NiSQELOfcAE/4UAdbNKtw7suVXdtQH0HH9Kp35aO1ZomIcY96ssSBWbqEiy2s8Ucg87bkDPIoYHQ6Vb6fsjNzGJn6kyHr+FcPdSLc39zfBeZZWbr6ntUWkatNPLdgvt+z20jMO4ONo/UiqcF0ryeWjg49B2pAXw8cSrIx4B5rp9N8QwWkACEKq9hxXBXoaSBlVtpIrnDqUtsxjkd1I4oYz1nxTqguYrWcoJY1i3gfUn/AArAiukvUErKFdW+XJ4z7Vp6myxbFyNsUEcXPsq/1rGngZ32DZgEHkcUxFl/Ef2a7aNWX5eM+tXU8XPgjfjIPQ9+1cfrNokStcDeGHftWPpGoPc61ZWrx7xNcJH19WApMZ6V4gvpv7UnVowxSNI/yUcfmTXPPzHCT8rVa1K8a91O8lU/fmduPqaypNwKKfmwQM1ZBHd3xsroEP8AKydvWpB4hIxtZuR/erL1WLdGT1x3rEjj1Fm/0aCZ/QrGTUNalo9Q8L37zjUrqXcsccAXcf8AaYf0BreDBghJGdvymuc8DQXkOgX5vopo5JrhAolUjKqpz/Ouk27sZUEL0JoAp3U08CK6wCRmOCFridblkstSkdcLE5z8vRW7iu6upUt49zfdA9a427jbU7iSG3sJHklP3U5NIDL/ALXZ2A8xVH94tUyXkDffvh+C1Mnw4165fctqkeT/ABNWlB8KNdI5eED15NFguZX9p6dEfmvXB9hil/t/SgMvPK//AAKtxvg1qtw677qNfcJn+tWIvgbcnG7UP/HAP607Bc5k+JNNX5lhkce7U0+MLJPuWCv9Wau5i+CC7cSXspX2wKtx/A7TRjdPOT7yf/WosB5s3jVAfksIB+BqJ/G1zzstYV7fcFetxfBPQ1A3Fyf9qRquRfBrQEb5oVce7NRYLniLeNdSIO3ao9gKibxdq8mf3xx9a+gYvhN4djwfscJ+q5q3D8ONAiYgWEAVcc+UPm60Bc+aX8S6pIebl/zNQHV9SkJxNIT+NfUv/CD6Chz9nhAHpEtTjwvoin/VoPooFAXPPfh35q+DbVpsmSSSRzkYP3sf0rqWenXcUFrdSxW+BCrYUVWL84pAS78nGeKQSYFQFwGzS78D2oQFhH3SIPepScseOM1VtDmdfrVnrQNCr39aOooPakPHFIoAeD/Onw4MyA9CwqKk8zYd3pzTRL2Cyb9xu/vOzfrVxW4qhanbawj/AGAatI2KYiYk+tMeQIOeT6CgtgH1phcKCR1FAEMt3BELmW+mEFlaxebcPu/8c/z6j1rzHVPjVqXmmDQ9Ps7O1RjtMke92Hv2H+eau+P751+Hx2cG61HbKR3C5/8AiRXjgakwPc/CXxFTxNciy1CCG11AjMckOQs3tjsa7ppfJjMrbfKUEue/4V8v6bcS2uoW88JxJG6upHqK+itTvTFa2ZJwstzEH+m6kMxvG/jQeErW3SG3il1e5UuFk5W3T6V5xa/FHxRFdiae8S5TPzRSRLtP5dKrfEyeWXx9qQkzhCiqPQbFrk05NMVz6Y8Pa7b+INJgv7fClxh4s5Mbjqv8quSz2iC6lvm2WNnF51wezdcL+n8q86+ErSLbX0bZ8rfG34kH/CtTxdcyP4G8VKhKyC6iWT/rmdlCGzhdc+KPiLUb8tZXr6farxFBb8YHbJxkmuw8BfEOXWpE0nW51e7bPkXRUKWPZTjrXi3LNW14bE0WtWcsQzIJk2DHfNJgmfQ9zd+Qq8fO7bEA/vHj9OteZePvHd9Y6i2jaPctbiH/AF88Z+dmPUA9vf3rutcl8jWdN+bCG62+33WArwbxOJV8UaoJTl/tUnX/AHjQgbNfR/HviDTbpJHv57uEH54Lh9yt/hXscl5FqWkwXkLhopoty188W8TOw46V7V4Yjkh8EWiSDDHzCv8Au7uKLBc6C21a307w8bm4GYLG0E8gz95udq14hrfizVvEF21zfXsrc/u4lchIx6KBXe6g0t14P8QW6ElxawThfVFPP8q8mQFjTEen/DnxheyXyaJqNw08Eg/cPK2WjbsAfQ16X50cl9DbMeG3O3+6v/18V4Z4SsZX8RaeyId3nKeO2DnP6V63dtIniK3GcJcW80Sn0bGQP8+lFrDvoeS+N/GFx4o1mVhLJ/Z8bkW8WeMdN59zUvgbxPc6Nq8Fu8x+wTuEnjJ4weNw9xXJzW8ttcyW8qFJImKOD2IrS0exluL6FEQszMAKGhJn0Wl0iTRW5RX859pz/dHJ/PH614p8RvFFzrvia4g8zFlaOYoIl+7xwWx65z+FepXsrWmr6NK52xef5Tse25cD9f514n4n06ax8V6nbTAqVuHYE9wTkfzoSG2WfB/iO68Pa3DPC5EEjBLiIn5XQ9c/zr3W/lRLiG03ZWWXH+8oGf14r5/0nSpLvULeFQWaRwqgDnk17R4jm/s6706+LEQ284WQ+ilSuf5UmtQTPKPHeuzaz4qu8yHyLaQwQrn5VAOCfxOTUPhDWZ9H122ljkYRSMEmXPDKfWoPEuly2Pie/hdThpmljP8AeVjuBH51paDoMt1fWsAT5mYE+w9aYj0++nEGpQTNjCy5/KuO+JOuXLaLommiTEc0H2uYD+JieP13fpXVatH5l9AnZpQv51w/jHTp7zw7pOoKNxsUNhdgdUdT8pPsaQzhrad4p0kRiHVgQR2Ne/LrEt14Kh1Q/JNPAM4P8edprxHTdKlu7iONFy7n5Vr2q60eaDwIumRcyw2/b+/97+eKGCPMviVqEtz4qktSx8mzjSGJOw4BJ/H+grA0K/n0zVra9gJ8yGQMPf2rofHdi97f2+u26s9tfRJuI/glUYZT+VQeEtD/ALR1m3glt3kh3ZlwcbR65piPYLu6B1jTI+qsWlx7Ba+f9U1CbU9Uub2Zi0lxK0h/E17l4gLabc6Xqe0mO1k2yjH/ACzYYNeU+IvC0+l65KioWspmMttMv3XjPIxSQ2a/wuuJovEUtsCfIuLd969iVGVP+fWug8Yaq/8Awhus+W+GkuYrd/8AcxnH8/zpngDw7NZPJq86bFaMxwA9WzwW+mKTU7EXV3qmi3DrGNSRJLWRvui4TsfqKNLj6Hki5d+vNeueGJ3f4fQ+ZyYZZYlJ6hcbv5sa4a18L6gt4bZ7Gf7Tux5W3p+Nenvpn9k+GoNODh3RWaVh0Lkc4/QfhQxGD4w1KSX4fSqjH95fxxSY9Am7H6CvLYlLSYAIr1K505bq1uNGunEUOopHPazN91bhRwpP+0KwtN8Cawbz7PNZtEQ3zyyfcH496EB1unX81v4K0JnzyRESf7ofivOvG8ss/jTVDISSs+0fQAAV61q+jLJoK6ZZ5CQxbIm9xzn864vVvD8niW6Gp2qj7aEVL20Y4dZF43j1BpJjaMr4ciZPFEBTO0o6v9NprpvFt5NP8Pb/ACef7UEbj/Z6j+S1reEfDTaLHLcXGwXEq7BGP4F6n8arapp4in1C0vVb+x9SUF5FGTbyj7r/AE6UX1C2h5BBHukHp617Zp13Lbw+FFk+UyQ7Tz32nb/Suc0j4fk3cfnXFu9mrZaWKTd5g9h712XiHTXvrRZLICGe3dZLfHRdvQfTtQ7CSZ4PeCWTUrjzM+aZn3Z9d3Nd/wDDyGWLT9alb/VGBV/4Fu4/rVi88KWuuak+owTJZXNyd09nc5XZJ3KHGCD7V1lposGieGjZwEOxbfLLj7zf4CndBY5PX55rrwRq8IP+qNs5/wBzivM4IWLj5CRXsY0+WOzhvUtzdW00Bt7y3HBkjyfu57iqmneCNNjvFk+0PLbqciJoir/Q5ouh2ZoQv9hm8NwqxWJ4DGM8cspxXi5tJvtUkLKd6OVbPqK961zSjqlnhHEU0bB4nH8DDpWC3hq11S+e6vLeW0u3P78RKDHK395fTPvUpg0ZXh+1nsPAF/cruXdOGU+yjk1z/wAQIWl8ZTTDLJcwxTI3YqUH+Fevrp8A00WKxhYFTYE9q5w+HUkhisNSge4hgJ+y3MLgSRof4Gz1FCkrhY5/4d2Ekb6rPg7VtTGPcsf/AK1Yni2GS50nQLhcvsiktZMfwurnj8jXrNjp1tp9oLWzjMcOcnccsx9WNZUvh4LPcoqRz2V02+a2kOMOP40YdDRz6js7HC/D3S5ZPEcU+35IEZ2b04wPzNesEVW0zTLTS7cxWkHlK3L5OWP1NWyOtRN3Y4jBxTTTjwKaeMVFihPSg9T9aQdaQ43GgBHGBXR+GSjwXAfja4PNc44yvua6Lwmql7lGGThT+tRP4Ro32EKqXUE/7vFUNzSMQ+V/iB9a1hHkN/8Aqpjqu1flAx71zWLTOZvYmMguLVyJkbO4dRXQWmpC5sg5Ueav31H8JqCeNVJJK/N6isia4S0lJjO4NhXx0IpKVmVYuTSmZxE1xt3Nngfdq/I3lRoDgkcZz96qFsqSmMAhkb7sh7/4VanKx24Dup+b+H+KmNj4V8yxXfkgingKAAMY+lRxtts4RuwAnSo9xPPmtVXJOMU4FODcVCJKcGr3DyCUEE+9KSfWot3ORS7uvNIY/NQSMRml3cGopWyppMaCwkJsY17c/wAzVwH5az9NGLSP23fzNXgPlqblHQ+D5SNeRR0KNmvQwT5hX0FeaeFW2eI7YY+8GH6V6OG/0px/sjtWcjeOxxHjPUGQTx7iQCFAzXnzNti4Fb3iq+8yeZjnLTMfyrnXcOnI69qI7AyiPHDaYxtpphCV4yRxV618ffaJY4k1hMu2FVV5J/KnadqGhwj9/p8E8q9fNQMa1JtW0q4sp4rbR4Y5WjIR0gA2+/Sn1A46WSSeZ22MGZs8966aEN9n2svA4/KsoWV1E1rLJaTiGV8JIYztOOvNaHmOM7XEsecHA+ZaoQy/b/VpnrmmWBQXnUcDrRdIzTAleij8KbZRktK+CuMYJQnvRoBpzcnisbVP+PhV/upWqDOx2vA5OONikg1Qv7R5bhyEcvgDG0+lJDMy0VTfxK/I3c1pCN5Xy2Bnms60hkN6A8bIVBOZFKjp61tL5sFurywuIvu+aqkpn03DgUaAVp4GEwmPSNWb8cHFZMvyqCBW9ckG3kTgZHX8axrkCCEMzKfm9aAM/T1La9abyCFk3cj0BNdesOwbmwWrndJjRtSZ8Dd5Zwzdq6H7QAQkmFY9Pmzmh2Aq3sfnQtG5GH+XnvWNqGRelR92ILEo9AoA/wAaualcNHqVqQCVDdvc4plzbrLcSnzUyXJ+971OgGZcHLNzgVb8N6ZKdSbU9n7lYmjVs9SSB/jVGeGSYyRhTuUYDetbWgPO1jNayHyDDsAY9D1p6BsbUinB9a4+G0n/ALWMZysqHe5PYHvXXG31D7DNeG2M9rCcPNFzt/DqfwrK1mO5W0EsNtI0gcZ2xkkii4IjOgtpsV5fM0ZN2qweWOoG4Mc/981jSxi2ZdiKIv4iF+79a6SzuJ9Q0USXEEkQWXGJVKluOwPJ61WmtpIw5SGVuM4WMnNF0OzOcMarMYyfmNblj8PdNv2imv7iTzMhiiHAHtVAxzz2If7FeiVmwqmBs/jWpodxq8t9BDJYXSoXG5mjPA7mgRQvL2PU7qeDlB5jMxJ7ZqMW8zxlT2yOuePWtCDRF+yyBYbzzZGZmcxNkZ7dOgqq9lq4LCDTruZTjD7COlAD7LTkv737Ndqfsqrl/V66yy8O+HtOhe5ttPiE8SM6OVyQQOMVx8um+Ibe8+0pZXG2TC/MQuP1rY0mPWXuJReW+yGOFy/zrnpgDr60JjMF4cWBkbcJOn3f5+lZYcsyjoK6mbT1nn3qJkdAeFwA3+8M1lLot5cSswEJReR+8wcfSgVmM0e0trjUkS6GYlG8pnhvSvRbG6sERCqRqDwMDpXBz+GNVhSOeF7Y5BLfvjwv5UWthqhAAu7dfoXJ/l70roLM7fXWN8IfsrKAqnt1rE89ocpOBvUcZPBretjpWm+FIP7SkaS8WT5pE9Ofl5Oa4jU7PTJpnudN1i+jmZsrHOu5M+nrim7ASa3cJ8iNt8zGTz09qf4b1G3tpZXJAcnbz6Vg6tavH5d5IxeQ5X5ehFY0t6bWUupIU81Nx2PbYtfhUqquMetWP+EjjToRj614kviIHaDMMe5qymvQkc3Mf5mncD2RPFUBzlskdt1WR42EahEWMHt8orxddetgQWvowR9asDxHYDB+3xfkaLgest45YEAnLH0FQy+OJucEivMR4q08DP8AaCf98ml/4S/SwPmvg3t5dK7A9HPjS6bGA2D3qB/F98TlQ1cAPGmlKAPtzY/6404+OdJBH+lyZ/64/wD16LsDuj4r1Ar/AB1XPiXUmB4cGuKbx5pQ6XEx/wC2Q/xpjfEDTSfvzn6IP8aAO0/4SDUj1D1C2tamWPD4rjW+IOnjP/Hx/wB8io2+Idj/AM85zRcLHqMbM8EbP95lBP1pbuJoGQlgwYZBHSqkEhkgRh1Kj+Vac6+dbKgXDlAy5/UVDdmBRJzTdxYAA8Co95CEdDUPmc4zVXA07U/vx/ntV3HSsvTn3Tn6HmtQ9RTAU0xjx0px5akY4oGR55qC6fbBIfRD/Kpz1qlqDYtZR6oaEDLcY2xRf7g/lUwOMVCCeB6CnrweaBEhbNNPIIzS5FNyBQM4fV9KOr6bq3h4tsnMn2yx3dH4+Zfzz+deOT6ddWt49rcW8kU6H5o3XDCvofVdGi1RY2MskM0Lb45YjhlNRvY3Fw6/bLaxvCvHmuu1vxGDQI8o8GeF5NT1WOaVCLOAhpX7H2HvXrmsWU2oaHLEn7ub70f+ywOV/lV+2txGqrsjUD+FBhR+FWdilGAGBQM8i8X6FdeJreHWrGAyX0SeTqFtGMurr3x9P0xXG6fod5dXAiS2laToECHNe73mhiW8S9tp5La5UYLx4+cejA8GrcVvPt/euuT12Jt/rQFjK8IaGNE0tYGwZnO+bHr6fh/jUer29vb312t/uGk6rB9nunHSFh9xz7c/yrpoYFhTatNntYrmMpKiup6hhkGgZ4TqPw+1vTtQeEW0lxADlLiFdyuvY8V2/gvwVJp866nqUbRtFzBEfvFv7xFddDpK2UhS0uZoYz/y7o+UH0HatGNFRfmJZv8Aa60gsZWv6c2paeURgkqkSRN/dccj9a891/wr/wAJNcvqGnqkOqLgXtg5wQ395a9aKhgcc5qjd6fYyMHnjiLn7pK/P+HegDyzRvh9qBuE+2J9mhz87FgWPso9a9Ku7dLewihjTYirsVfQDGK0ILaKFQUQgD1B/rUGpDdCtAWOZgtriGws9StYPtDIskM9uOs0W45Ue/pXMt4FsLm8afSL+JoDz9mnO14j6HPNeiaAudGiXtvf/wBCNWVhhupd8du0uOriLj8z1phYw/DfhmDSWEzFZLrbjco+VB7Vq61p739oBC5juImEkT/3WHStNU8nA2YoZuB6Urjsecav4atteuzeXkUmmamfllBUtFN/tKR/9atjw94RttKlFyzfaJ1+42zAT3FdSu2ZDJFsMIPzTO4RB+J61InlNFvgnhnQdWhkDgflRcVkUtSsE1Gwe2kzhhjI6j3rm9Q8Pxa0IItct5xd26+XHqFv83mL23j1/D8q68t82c8VFJc28cL3dxPDb2ced1xMcKfp60kx2MbQPC2m6HN9pgMtxc4wssv8A9hWvf2MOo2UltcJvjcYYHvTNP1bStTLjTdSt7ll5ZI2+b64PNXASRg0bjONfw7JLFDb6larefZ/lt7qJtsip2Vs9f8APFbek6JbaepMEO0t95nOWPtU+o6raaZYG+1C7S0tGOEJXdJJ/urVbSPFeia5M0Gm3rvIoyI5o/LZvp60m2JWK+rLjUoD6Txn9anvdLlgvpbqwVGMwAuLaRcxzj1I7H3qHVyDfQEdPNj/AJ1r6heW1raz3FzdLbWsH+tm75/ur79PzFMDP0rRbCCY3FtpdvbSn+NWL4+meldF5a7NvJrgLL4p6C14tsba8igJwtzI4b8SvUV3kcqSMCjB0YBldejfQ0kGhz8vhyS2uZWsGQ20zbpbWVd8ZPqPQ1qadp8dmuRBBB6rEm3NZvinxTZeHNOjvLlHmeVmW2tVbaHx/Ex9K57w78VIdV1KOy1KyisxK22OWN8qD2DA/wA6oR3t7bRXVu8Migowxg1z1po8+nDyEulNpuykM6hwv+7npXR3Eywxl+pztC+rHoPzxXnni34g/wDCN6hJpumW0Fxepzc3E65CsedgFSO6O1Py98/TgCqN/pdrqcPlTRg+/ce+axfCHjceKvNtbuCODUIk3r5X3ZUHX6EVvXVxawW80105S3to/OmOOqjt+lKw7jLSN4IhGt3LMi/Llm3H86h1ZR9lwD615dffE7XZtV8+0kjt7ZD8luFyuP8Aa9a9AtNbi8Q+HodQjQRszFZY+yuOo+nT86dmJtF+G3trnSLdbmNGjMSffGR0q/a6c9vBmJJ/JHTduI/DNY66vbaX4ffUplEkdjbKQh/jkPCj9R+deQz+L9cuNYbU21KdZy+8BZCEX/ZC+lHKFz3vgegqs+mwXFxv+zb5V+84GNv1as3TfEMeoaBBqzAI7L+8j7CQcH+n51xPxN8RzrcwaHBK8cMaLLOUbHmO3OD7AfzpKI+Y9SEQjUdAD0Oc5ppQHC7S5bhVHO6vI/htr9xb6yumSys9tdfKoZvuP2I/lXoOs6+mk6Lq+pRHM9tGIIvZmxz+ZH5UcuocxqJLYW98bPz7SO8/59xKu/8AKrYG5v1r5oS5nF0J/Nczbt3mE/Nn1zXvGja495oukXExHnXbJHIfUg80cgcxqahc2Glwx3Oq3dvYwyH92ZSdz/RQKbPcW13pP2i0njntnHySxnINeK+PtXn1bxrqUksjMkUzQxKTkKq8cfkfzroPhpeyCPVNPcsYmg89R2VlP9QafKTzHpOho0mk26ou5sHA/wCBH9Kx5PGvhy31IWLakrSZ2mWOIiNW9N3+R71nXWuSW3hDV0hbbJBabVI4I8xyM/qPyrxpFZ2GKfKHMz6TkcIC5OR2wc7s9PzrA1zxnpHhu4WzvHlu7vGXitQu2H2JPU1Q8OalI2g+HFmbrceWWPcKWx/SvKdeuJL3xDqE75Z5LiQ/+PY/pSUQcj33TtUtdXsIr+wk8y3kOPmGCpHVW96y/EfiSx8NWMF3eJJNNc829tGwUlR/G59On51w3gu7uLTwvr4BbakauvPRuR/L+VZvxGne58RWu4nYLGDYO2Cuf60+UOY9K8PeKbLxPbyyW0TW88ODJAzbuP7wPpTtY1600jRZtVu1aVBL5NvAj7fNfuSeuB/SvPfhrFPFrs7q3yC1kL/Sm+M7iWfwxoYydqzXIYf7W/8AwpKIczOu8J+O08RXrWF1aR21wwLRNEx2tj+HnvXWk54rxHwVazSeKLAxhgyzBuPTvXtxPPpUyiVFiHgUw05jTCamw7iH9aTq1Lnmk5zn2osFxG6Vv+E3BuplYE5jH8xXPyHg1reGpLuK9kNpYteP5XMayKmBkc5NTJNodztAcqVCkEdRVaWJ2ODIp9gelUZb3X1Bx4Yu8f8ATO5jz/Os6fV/EKE7PB2on381D/WuZ05PoWpI1pdPkKs5cDn1qm9mm+RWfcSfTpWRL4j15I1VvBOrfKexU5qnN4s1WPdu8EayM/7Of6VPsZ9i1NGzFItrNtZ8wt0/2avsDMqqcjPvnj2rh7rxhf7FVvCOsJjrmJuf0rV8MeI5NXmawudLvbEoMxPLGRu5+7nFNU5rdBdHVhUEdugLbVVajkmRJGXzMYPTaf8ACtQwuYVCMoYY+93FS+VHXWsMmtzD2uux5aO/FOJwtM579KceVr0Tzhw7c07mmqMAUpPHNIYhIGahPzNtHJp7dxzT7axiliunmIZinyhX6ADP4VE3Y0grsgsJUW0QMcFS3/oRrQGMDnIrmNP3zQsJN+A3WMZI+bNdGJIV2iN2wem/rUoqSsbPhohPElmSTgk/+gmvR1cC5lYngKP615v4Z58RWZz/ABH/ANBNeggp9qu8Fc7Bn9azmaw1R4nrrm7lCK3JLHr05rMCXEa43Kw+tXbw4vR6ciq8nCnrVLYCnH4U0/V3+1XOq3FrK33hARxVu68O23h/S7jUNP8AEmoz3KJtSOVhtOTXP31nr4nabSraSZCeVC5FNL+JRA6aro721uRzMUI59KYhmleKdeGpKlxqE8sY/wCWefvVZg8R68t9GJb10hPOzaBxWbYIE1KBx/C9at+iNL91ix9BRYCLWvFWu214wtrkRxnHJUMenvV2LxLrlzpDPFqEn2tcfvDjjj0rnr+PfI6kHj1rV8OR5t7lDjIxRZBcs6F4l14ySR3+pTTKTwCRxVfVfHHiDT9SnjtLlBDvON8YY0SwGGYOoHUVk6rH500hx1Y0uVBc6fTPGOt6laypNNHLJ5RIUxjaT7ioIPG/iQz/AGaVraOItlkSLj8qxvDTeXqDJ2KGtC7twLjePvUWQ7nSap4nvLbSWuVWOVgy7Y2Qba5iP4k63LP8ttZRhm5xFTrqfzNNMRzkMP61zcsOzLqOj0cqDmZ6BF4u1CaG5ZlhYrHlVEQwxyOvtWbZePNfF4UeKzjjL5/1PzVQ8Py755kbrsp13bBLnzF60nFAmdbN4n1J3tvnTyWlHmbE5x7VyNz8StZiuGS2it0XPBaPmp/t5iSNAgJZwPpXNTwxTSj7wOaORBzM6uw8b67dLJ508fIBA8sVdfxPqcel3EvnA3G9SmRhcc54xXGRsYJypPat/S7j7TBcROPlRvl/EU+VIVyK08eeJ7m8QG7iWLPOIhmumXXdS2+cs7uT1x1FcdcWyWkwljVV5rSg1BYoW29lNJRQ7lu98U63pum+c9yZJ2lbbuTb+7A9frXPt8SPFVzII1vfLRj0CA/zqS81EarZQvwFXK1zzxiKfcOBQ4phdnbr4n1AxIZtSkZ3boEB/kKZb6rrkuqQTPcTvpkeTcYUY24rl9PkjitijTZfdnhq2LDX0kUWQU8owx1PQmnoIivfGniCJ28i6Kp2ynOKl0vxT4gvY2k/tCUEbR2H9Kz7m03wfKGR2GcE5NRW1/JYNHCIceue9Kw7nR6rrGqT2oR7m5c7xt29j2xVXTW8T6TNe3uqSXElr9mbaskn8ZwFJA+pqqNXWz1AfOXjBJHPQ1qy6+uo6Tc2qgZ2h/mP+0KYXORk1/VTcPJ9okyfQGr2l6pqTxkG9mUZ/vHvVC7hIKMDtbvg0y0barhpsEUWFc2NXvb50EIupy2OgY81nR+G/Fdz88bTgOO8xBNXhMkMttO54Vq6C28XQopHQ0OwI0Psjf2Fp9hMYori0iCy7SMs/ck9+a5u9CyRSwne+CMgn5W+prblQX7JcjgzZOfXmrkNhbWgMjneG+XGMimBz9/EZdMt7gOSHAAQdFwO1YNxp01ywiijLM5wABXWa48ULQQRbFRAflTtWZY6nHaX2X/u5HFIZhL8P9bmPEcSk9i2avW/wv1wqctbj/gRrtrPXoWXh8VeXxJEg+9mkB5//wAKm1tyT51t+ZpV+EOtH71xbj869ITxZboBluKmXxfZgjLtQB5sPg/rRUA3NsB+NL/wp3V8f8flv+Rr1dPHNgq4MEZ9zn/Gl/4TjTzk/Z4vpz/jTA8qHwc1XGTewA/7ppT8HNU/5/Yc/wC6a9TbxxYKxHkxk+xP+NL/AMJrYkfcQUCPMIvg1fYbzbwHj5did/x7VGPg1qf/AD+x/wDfBr1MeNbILn+tIPGlmRxigDzEfBjUDjN+o/7Z00/BvUARi8H18uvUP+E2tDnB4+tC+NLdmHzfrQMz0bymwpC7ehFa+mXv2pmguf3igblZ/wCH8awBJ5jvjpmrqAppch6M7/8A1qymroZf1SxlmIlgIkCryncfSsGU4cDn0Nb9lOxlWNWJeP5GjH8S/wB4e4NYuqQQ29zmIkj36ipg+jGyxpPMzeu2tgcsKxtGO6SQ8/crWDc1sIkxjNRk5NPLcGo80DFPArO1E5hYev8AiK0O9ZuonIQZ6sP5ihCL7nDUoc1Gx+Y0qtQBL3oyMe9MJpDx9KBkhcqUSNQ0z52rn06k+w/+tXM69410Lw9ePbXV3c3d6v3orUALH7E56+2TRrXiF9P0bXr+P/XWqJbwn+6zY5/Nwf8AgIrwN3LMSTknqaBH0HoHjjR/EM3kWcssdxjPk3AALf7p710yMD0718vWN1NZXkVxbuUljYMrD1FfQWqai0fhuS8RsNJbLICO25R/jSAu6prVlpGkzatqEjpZIdkaR/enbnp+I/qa84/4XFMt0fK0CzS3z93zG34+vT9Kq/Fi6ZZtF09GIt4bMSBexY8Z/JRXnC5NMLn0t4f8RWfiHTVvbJyF+7JG/wB6NvQ/41fLyTXCW0ZJkfP3OWVe5A7nkAV498J7yWPXri13EwTQMWX3XGD+p/OvQ7LVZbLXtYnjJ+0QacskH1yx/nikgZk+Lvimnh3UJdN8PW1rLcQnZcXci7grjqqj+LHdj1OcVS0D4wvfXS23iO1gxIcLdQLtKn/aXPT6V4/JK0szO5JZjkn1qSJd2eDihiTPpW8u/sMcjswZVGVw2d30rk/GvjebwjDFYWYifWriPzbicjIhB6Ko/Pj0+tJNcSjwVoM8rEn/AEbzCT2Dp/gK84+IryN491Uyg5Mi4z3GxcUIbZbsfib4ptrwSzam93Hn5oLgAofb2/CvW7bVbfXNBttStsiOYcqeqOPvD8DXzmkbM3Fez/D5ZIvBMgcfKbxtn/fK5/WiwJnR6TLF/Z8dvMV8ndLNOG6eWrdD7E/oK8j8VePdU8QXsiRXElvp6N+6giYqCOzN6n+VdtbrcXK6rZxn57nTriOEerBzkfqK8awd2MEUwud94H8cX9jqcFhfXMtxYTMEIkO7y88Bge3Jr1jUJGeS2s0ODczCM4/u9W/QV8/aPazXGoW0MSHfK6quPrXuOrT/AGPXdHvG/wBUlz5bn03qVB/OlbULnmvxJ8Uyavrkmm20hTTbJvLSNeFZ/wCJyP0+grA8M+ILvw9rEV3ayMEyBLGD8si91IpvirS59J8T39nP95ZSyt/eU8g/kaqWlpJK6JGhaRzhRTsK7PoLUrtDbwLE5X7Y0axlTzh8f0ryr4m609z4jOlRfJaaaohRAeC2AS2PxA/4DXe68rafpGnzEbjp3kM4/wB3G6vNfiDYNF4qlvk+e11BRcQSA53AgZ/HI/lSQ2zn9M1G503Ube8tZGjlicMpFe76nqv2nR7KeFjGt+YgOegfqP5ivD7LSp7meGJI2MkjBVAHrXsPiHTpbbw5bWtmDJJYLGU/2tlAK5598TdWe/8AF9xbbj5FkqwRp2GByfz/AJVzOmXc1lfw3UEjJLE4dWHY103j7TTJrSazbDdZamiyo45w+PmH+fWqGheH59T1CG1j4LN87dkXuTTEerarcCSK2uQCPN8qQe2cH+tcd4/1a4n8MaLFuIju5JriUerBsD/0I12WtoqQqsYwsewL7AdK5zXdDbVtKn0eNR/aGnzvcWiE482FzlgPXB/lQM8qQkkV7b4Y1K5X4aCZ877eOVFbvtHSvM9O8OXtxcrALSbz2bGwoePr6V7Lp+lpYeGU0jcCvlFJdvRmPWkxHlvxNuZJPElrFuPlx2EPljtggk1yMEblgcdDXoes6BN4gtYEi2jWNNXyJomOGmhH3GX1xUXh/wAD3lxep9tt3gtEb5/MGC3sKYz0Oe7dLHQZJW5klgWTPqU/xrwjxA07+ItS885lF1Lu+u419Ba1pp1HRXt4j5cqYeE/3WXlf5CvOdV8LjxDqT6laGKC+b/j7spX2MsndlPcGgGYXw6jnTxhYumer7sf3dhzXZ+J7mSbRfElqv3kt45ceqbhmrnhXwwmheZcztHJfSLsHltkRp359TVjVrGWO7S/giE2EMVxAf8AltEeq/WlcDwqKJ5ZMV6h4KtZYPDN27fckuBs/Bef5iorbwjo9xPus9UeOFm5hkjPmp7V26WEMGmR2ttH5cScIP6n3NO6CzOI1NJrjwfrNrHuMqpbXIXvsHDflivN4LdpRhV/wr1xFlgnhaMJHe2qtEyS/cuIj1XNMtfDPh9rjzilxBHnJtSflB9Nw7UXCxBYadLbfDclM75N04A9O38q5Px5bvP4ghvUGYb22iljYcg/KAR+BFeuG8sfKERZRGF2hFXgD0rmpNNtPJNk8YvLAOXiRso9uT12N6e1TcLHHeB9Ikl8S2cir8sB86Q+gH/18V0+s2st+mu6KvE08a3VuP75Q5IHvxXRaVDpukwslpbyR7vvtjczfU1Hqcdteqjx/aIrmJt0U64DKf8ACi40jxmz0yWV1Gxt5OAmOc16xd6fNpPhnTdiYlsWjmlRPXOW/rV61ULP9pl06BrvvPHFtJPrV172YxlfsZIPBy9DkgUTyrxd4fmj8SXN9Gm/T71/tEEq9GDc4rqvBGjS2NhfalNH5azReTCG6sM5Y/pW5aW9zbuI7eNktt2fs7sHjX/dBHy/hWtebja/MecdB0FNSFY4drUMr29y/l22qW7WplPSOQOShP41y9t4M1RL4Wklo/mZwWx8v13dMV6rp9pDd6SYJ4kkiLOCrDIPNWraxW1jEaySGMfdVmLAD0GaXMOxh6tpJtNDs7fTQWbT2SSLP8ZXlvz5rjr/AMKPqd/Nqmlp51tdN5mwH54WP3lYHpzXqmMsf7tVzYWokaYQxiRv4toyalSHymLonh2Kw8Ny2MiL51ySZmX9B+Fczf6C2rR21rc7YtWsE8lTLwtzD/AQ3TI9K9JULgY6UyVYQP3m323U+YOUwPDXh1dGsbjzQpurgbGK87U9Af8APasjUNBXZc2F5HI1hNL9oguETeYJOhDAfwmu5GNvHAqKR0Ree/3fWi7CyOe8MeGYdHmN4bgTTFCi7Fwqg9evqK6Nj0pFGFUlSM+opxwRSeoJWIz9ajJ5qY47UxwoHXmizHcbjJpp+9UgxjrS5UHk0WC5XkrR0DTJtXvGt4ryS0ZUL+ZHjPUcVSkCnoaSys9SvXeHS0ElyBuwzbRjPrRHcT2Ox/4QzVk4j8SXYHvF/g1DeGPEkX+r8RyH6xN/jXNrpXji3I/0Hfj+7cmmFvG8P3tOvfqs9akHSnRvGMf3NeVh/tI9MFj45TG3VbZ/97cP/Za559Y8ZQ/8uGpqPZ91M/4SvxTCDvttVU9sx5/pQB0x/wCE9jPE9i+P9v8A+xppuvHgb/V2Te3mj/Cuci8e65Gf36aiB/17f/WqVfiPfhv3j3QH+1a0Ab41HxuuS1hZue/71KcNW8ZY/wCQTa/9/E/xrEX4myLw0q4/27bH9ak/4WcP+elt/wB+D/jQIwQ9O613y+G/D7dYLlR7yf8A16mXwx4f7CUn/eatedGPs2eeg07AIr0I+FtCAywkQerORTo/CugyNsjYu3XAlzS50Hs2eckZpLNAYb5Yj+92k+o+6a9EfwrpO47baaTH92Uf41CuhaXarKE0u9KyffK85/Wpk7lxjynmehzpFpNxuYBl3E+/JrQQo8alRxjiuuj0HwvbW86SaNqSI4wweGQ7vpVCS98F2ahXtryNV/vK4/nQmOUblTQGzr1mpOMyf0rtUDyXt4m/hQOi/WuWtvE/gi1uEnhdxIhypL//AF60YvHXhkO7xyfPJ97pz/49USVzWnJRR5vqreTdDdzhiP1qo4Vm56/Wr3iaS2mnuLi0/wBQ0m5B7VlLcKEG7IcnoaaJYieMRo0xgncRjPys3SreqeME1vQ57SK7t5N+3hXBPBpLSTR5JDDqFjFPJn/loM1cvNI8KvYzz22kiC7WImN4wRg0xHG2yFLmIrwwet6aPKjGB65rERf3iNjkNWi1wbiSSNHCleMmqAx9Qwl7KAMgmtHw2uHuV55wagmQm4bcQzYHIq1oX7m+kQ5IdeKBGjcQgsCR3rmrjcZW3DB3H+dddMPmNcteIftcqnqHNAC6IoXUwWOAVIrVulRpflyT0GKy9MwdSiDD5Tmti6hUf6sgEVI0Z1zGyQkkY+YVlOoMbAg8tW3qHy2QX+LcDWI7kKVwOTVAXtD/AHWpSemytS6h39OtZOlsDqA44Za3sKCU74pWEY5jKsNw4FZpw0m0A8Gt+4RDG3GfauZLurnHY0APulIuT8vatTQX3QXIXG7j71YFzdPuJJy1avh66MNvPJtaUsRlV7CkMdeTOdQCSqyIPujHU1OUWHc7YAA5rZlgiuFVniGSMjcORWdqUy2qBQodm7H0oAw59kEISM4VnZl9Bms9raRnw+GrYv4E+zW8j7dzZ+7wFrOdxuwCc+1AESxrET8tMs2ZNZjKfxB//QTU785+cmrel6RKyHUy/wAkILKmOWGCKQFd73ZdCZkJO3GM9Kcs0ACzyzNI6ncq91qIRm7vFU4jDHGB2pZbCCO4aGS42Pjj5aAKlzsnVjD5nLZ+7xRo9wXmvICvzfZyMk/7S1fRbfyhDbku4+6Om41JB4evbAy6nNGqoY8FO+SR/hQFynKgU4wQaqsMbmHUe9aITz0Z8Ak9cdaqtEoJyuaYiCW48y12HqORVA3gBw+c1dmRVXpiqP8AZV/cHfDayOvrikxo9U0ECXQbKVsfd4FXraA2KySSSg7zms3wwkqaFbJKCjRjawIrbKmbzVVwGU44wTQBy3iBkFz8mAduW7ZNctfyBCkgb7oxj2rpta0qaHiSQOZQfmxzXN3VsUh24PFIZWh1QL/y2rQg1SORcNPGP95q5p4PnOyNnP8AsjNMWGTJzFIP+AmgDs47uFiP9Mt+PV6txXFvtObyzPt5orziUFXORj8KYOPWgD1NZ7dh/rbNh/12FTq9tx81v+Ey15NuOOp/Ok3N/eNAHr4W0fGEj5/6bLUotrc8bBj2kWvHA7j+NvzpfOlH/LRvzoA9l/s+Fjwv6il/syLnEbV42LqcdJpP++qeL67HS4kH/AqAPYTpcRYExPQNKRWDYcYryEapfDpdS/8AfVTQatfmeMNdzbdwz859aLAe3RPtzjpn+taoIFrbpnLSSA49s1hxyYyOa2r0n+1rZE27QseAvYVnIpFY3bx3zTgkOHJNMv3S6vWZMsjc+h6VVmfdNLgdHNQyuRnn2ppCNrRPlmlQ9l9fcVrAZNYfh45mc/7H9RW5nBqwQp496b0NBPNITRYBWPNZOpn54sdd4/mK1C1ZOqAjyyf7w/mKAZqFcUi05mzTAQSaBElMfpT+1NIpgcbqunG+h8QaPnE15Ct1bj+8Uxkfmq/nXivlPvIZSCDjBFfRWp6Y120c0MvkXULbopQM7T6Edwe4rD1Dw5YateibVNJliu8fNcWjgpJ9c85+o/GkB5LpmlT3t3DbwpmaVwqD3r3O/wBNEvh19PQ9LfyVI/3cCo9I8O6fpTGW1tnWU8eZKcv/APWrd2gpigDyTxtp9xrHhrTNYjXdPYJ9jvYx1jIPB+n+IrgLa2Mjgdq+gLnSHjvXvLKVYpJBtmjdN0cy/wC0PX3qODw9pqXAnGk2aSA5ymSAfpgCgDmfh34fexil1GZSrTLshyOq92rdvJBo/iq1v5gPsVxGbS4LfdQE5Un2zxXSKhCgnlqgu7SK8gaKeNZEYYKsMg0DPEPE3g690HVZF8ppLORyYJwPlx6H3FXfDfg691iePyo2Fup/ezN90Dvj1NerWdpPp8It4pfOt1+6lyvmFR6BuuPar6mSQDeQFHRV4ApXCxS1PTY7zRXsFAWNYvKTjpjoa4DxJ4fuvFbLewbP7atkEV7aMcF8dHTPUV6jjC1RudMtruRXkjHmL92QHay/QjmkM8p0rwFrE1ykctnJAMjdLKMKv+Neqw6fBpukW9ha58mDgHux7n86swWzRjDSO4H9581JIoKU7hY5ARTJMHs/+QhYTtPFGTjzY2+8v+fasO98D6frd7LeaPdJA7/NNZXJ2NG/t7V391pZufLkQIsqj5XX71Qf2BNK2+SXc3Y7cn86XMFjJ8K+EY9Em+1zMkl3jCBOVjHQ89zgmtzVNLXUbOWB1YFhwwP3T2NOTw/OAP8ASZsfXFSjw3I44edz/vZpcwWOQ1fRofEAiTXc22pW6bUvYkzFMv8AtDsas6B4U0/R7pL17pLq4jP7rjaqn1966QeHYkY+c7j6ttqdPD9gf4kP1l/+vRzBYq3T208DxzSRsHB3AsK5qTT7YWP9mXkK3unRvm28t8S2/sM/eH412TaLpqjH7v8AB6F07SbXDTPF83AzlifoMUrsdjm9H07Q9Km+02/mmfBCvOclfoBWu+o2TghpSw9lP+FbCQ6WuCqJj/riR/MUMbAqVEXB/wBgUczHocMIobYTWtuiz6fMzO9rOnCsepRuo+n8q2dGsoord0sLNbVNwL+pPuetbiPbxNshtWdjj5UUZqZ59nzrAQM/N0OPyouxaHLasp8hs/55q9qGlwXzxSNuSaI7klRtrKfrVbVRmOTHAJrUVmd0SNd8jdFz29fpyKvoSRKLlF2vMzqfUDJqwm3aV9KzG13RxefY31uxW5DbDHv6N6Z6ZrUYGNipHIqdirmPqulQ3dys33JF5SRThlPsatacjBQ0ly8zjoWbNF9NBa20l3eXK21nCf3kpXOT/dA9awtI8b+Gb+/FnbSXNvLI2Ea5UbXPYZHSh3A7AS88nOKo3ljZXrK80BaRfuFccf8A1qmlcRBy3y7ev0rnfEviex8LxwtfwyXN7MC8dokmwRr6uaEBvxQKi7UAGPSiVC0ZBHB4rn/Cnjyx8S3hszafY7raSieZvSQDrg9jXUXMYM0MIfZ5mWZ/7qL1P8vzp2EYFraQxXjONpbPY1sOuQPrXl+q/FK9gv3g0K3tYbGI7U86LzHl/wBon3ruPDvimLWtE/tGOFY50fy5os52t6j2NFgNqTRISvmuGSM888CmxWNg2Shyo77Dg0l34ijvrVZZsC3gheZl/wBlT3/I/kK8S1P4ga9f6mbiK+ltolb93DE21VHv60OIJnuLWtmB8pGP92mJDbqQkcMkj+irWD4V8TLrnh439wNs0B2XGOASBnI+ormPiR4lntLOz0iymeM3EXn3LKeWDdF/Q/kKXKNs9L2RKoPlMAe+RTSkI+bymJ9K8Q8DeIbrS9et4GmY2ly4ilRjkc9GHvmvWLzXhpzanNu50+zaVR/00OQP6frQohcvSalp1tdLaXd3ZwXTY2wNP8/PrViRRuKmPBHYGvmua6uby6eeaV5Z5G3M7nJY/WvZvDXiCaTwVZ3EzF5o5PsrsxyWGQB+ho5RXNvVtbsNEt1udQmiton4RSheST6LTLfV7DXNKa5064WaMcNhdrKfcV5F8Q9Rn1HxtqCyuzJA/lRqTwoFXfhzPLDrcsK58m4t3WQZ9BkGnYVz1fRozLZKkRw7SsAcZA9SfpXL6l8SdG07Ums4Ybu8WNtsk4dVGf8AZHf9KjGr3MFhqsELshjsZpEKnBB3c/0ryGOJ5HwOSabQXsfRNre293bx3cMu6CRd6N6j+hrm/GPjiLwxfLYWtrDeaiEDXDy52R5/hA9axvDF3NbeEYSxO2PUFT/gOVrkPGAmuPG2sFwd7XT9fTt+lJILnrPhjxPb+JdPecRrb3EJAmiByvPRh7VQ8Y+Lv+EcsbWWxWN7+8DMruM+VGD6eprnPAVrNDFq7JkA2e38dwI/rWJ4z8y9k0a4XJRrBEB/2lLBhQkFzr/BXjW61q7ksdTaMz7S8Uqrt3eqkCtbxZ4h/sXw5c3lsV+2STfZIGP8I6sf0/lXB+CNJkk8RW0oJ2w5lc/pj8yKveLLea60K4UZZrHUWDj0WReDVWC5W8GeML+PXI7W/u5Z7W6fawkOdrn7pHpzXrVeLeEdEku/EllG67VWTzXPoF5/z9a9oI5GetJoExpxzTHUEDrTiaQkYpWGA2nigqpPXAoBFNK5HBp2GNkUKpANRRXuoWIe40uKeW5XgJAwDEd+vFPaMBWz35qbTL3UtPlabSkDXLDbt2Bsrn0JHpSW4rkY8ceLoR8+m6uB67Inpw+JPiOM/PbaiB/t2AP8q218T+LUP73Sg/8A24v/AEzQfGWrRnFzoluf960lX/2WrJMdfirqiH96syDPJfTX/oal/wCFw7CRJdWg/wCulpKlXX+IFuhxdaLp4/Ep/NajHj3w9J/rdCtG/wBy6joAavxjsGGHn0pj6lnX+YqZPitpEh+eHS3Htc4/mtINf8JXZ+fw6xP+xIjf1pCfA9zzJ4cu1+kWf60wLA+IOg3OP+JZZyf7t0lSf8Jb4fPJ0NM/9d4/8aoPpfw6l4k0q5iz62v/ANaoP+Ed+GP/AE0Ht5B/+JpAdp/adh2vrr/v9/8AZ04avajlby4Y+n3v/Z6rrZaao+S71UY+v/xNVLmaziuREl1cIAP9ZJt3fXGKoRdvfEAgZYYLuRHZd3nmAun0xUlr4gmmAxd6fLIP7jbc/nz+lci8erm8LC20+bd0kjvVjLD34Fb9hBr0cQEml2Pl/wDTOfef1bFGgtTcinubjJks48/7O0/zAqYvKzD906Y7tEp/kazktJ8ln0OIe6qoP6NV6G5niTnTpYh78/1NIZbjMwHCxt+JT+lPLTlfmtFYf9dAf6Vk3N5CykNNND7+Vn/2Wqg1S2i6a5IB6eUv/wATQBtCytbhys+mxKf9uMHNQ3HhbQJeZdJs2Pc+VXP3PiJ1fEHie1QDqJY1J/pVJvEurKSf+Ek0kx9j5Yz/ADoGUfHXh6x0+OA2FusMLodypnGRXCvD5q/fIYjr1xXX6jrl/qhFvdatpl1AOVEQCvn25rhb6WWx1Epn5c459KQEx8MWWq7RPezQSp0eI4Nadt4C1JNo03xW7o33o7lA+RXMate3du4mt37cqehqGz8fyWDAXWmpMPVXIIpiJZYjBPJC5+aNyD9QaUrJHI5Vc7qp3WoRahfteWySRwXB3hHPI9f1rYtis0e0j+Hr3pgZs4aFoiUABB6fWrmmSFL1GPcYp13EPsu8/wAD9/Q1DaOouUO4Z3UIR0DvuJzWBqaAaiWwcMoP6VuE47EmsnWYyvkSf3sr/WmBm2xAv4vQPiumlij28rx71yqNsmV8ZwwNdBdSTSMQPu9MUhkGoxZsyQ24betc1cROw3IelbrPLGmx2+R/kx9aymdckdM9KYh+lkreQ56966hmX1zxXN2reXewHjBcDP1rf5V88t7GlcZHMqKu5tqrnq1cvPHslkA/vGtfWy7bOP3eP1rPvVVZmIGUYB1/EUCMye1MnIIH1rS8KeZb6lKrdGjqKJtyAuB+FX9JWPzZpg5EkfAQd/WkM1b0zyBBFIIg3JZuv0rK1e0mUecX8zjB9q1nAkg86dFO35gcdKZNaXN2URWCR/x5P3qAOQ+0SSwNG3WN/wBP8iq5JLV0ep6C1nb3F0n+pZlA9c81z7JtbHekANj1we1aGm6kyItmx27h5dVEhbYd/J+lQfZ7h72EQRyOyupwvbmgC0kb2t1HsxI27jjrTNRSU3sh2/rWi1zIt0zC3G1CVNOTddbxHDCjMvyk/wAhQBi2EzQXyO/Y110uqG70ia3OMnn8q5C7s7iFnV429c//AF6i0y9mj1KKCTlZAV6+1FwNYtnnGGxUfDE+tAOZMHOPWmOE3sqI2fUUxCRwxtcRBzlWfmu4024too1UAYArhHmKo3QMORx0NRx695MmHbB6UrjPRrZkaW6ZQceYSPQcCrcU8ImlZF+YffYCuZ0G6/tC2lAm2qzBiy89K6RURYT5TDbnKg8AYpFDr+W2MYE8O9ChO4jpWDBZWdzf+Vy0PX5u9aOqXSJZyhWUlSAyselclLetbyrIH2jocU0Seo2Gn2EESpHbxDHU7RWnBYWBOfIj+pArzSz8SsFwXrRi8TlVG2T9adwPRF03T5AQYIsf7opG8OaRIObWA59YxXCp4llYDbJir8XiC9bGydCP96i4WOnPgvRLhhmxtmPp5YpW+G+iyAY0q3Pv5Irn11zUVcNyTjHDVYj8U36swV2LL95QelK6GX5PhZoLNzpsAP8A1zqrN8IvD79LCMfQsKVfF1+qjeZOD0PapV8b3mBuLflQBnP8FtCYn/RyP92VqryfBTRSTthnx7Smt9PHM3U9fpUy+OW28qM0Aci3wR0wt8oul/4Hn+lVm+CNoJF8ua7Bzx3/AKV30fjZT/dx9asJ41hWQMcDoetMDz4Jsdgf4WwatafMI9RgYDJEg61Wd99xM2BhnJqaxXN5Hux99f51kykV5RiWT3aoZX6j2q7ersvZ0XoJDis2ViZT9KaEzX8OEi6f/cNdCOa5rw4/+mMM87COa6TPzVQhTSZzSk009KBhnkVlavwinuGH860ieTWXrJzakjquDn8aEI1GbAFIDSEfKG65FID0oAl3cUGkFIaYDqcEGOcfU0sKb2XGCzNhVPf1/IVzHjHx5pXhS6+wQWq6nqacy+Y2I4s9uO/sMYpDudPkDpjFKTxXn+jfFu1v7tbfV9LgtEkIVbm3Y4Q/7QPau7cMjhNwbPKt2YUhjmIAJPT1oQu5ykMrD+8EOPzqnqWsWWg6Hc61fL5sUL+XBED/AK2Xt+v8ia8jvfil4su75p4tVa0jzlYLdFCL7dOfxosK57XnnByD70hOPrXKeCfGr+LY5LO/WNdUgTesi/L56Drx6jiunBE1zb2ved8E+ijr/MUIC1Y2U+oh3gVBGhwZJG2r+HrSXNpLagt/rE/vpnFeM+P/AB7e6vqc2m2FxJb6TasYkjibb5u3jc39BWB4c8W6v4evUns7yUR7h5kLNlJB6Ef1oYXPey+7HpUkMLTiQh4444xmSWQ4VaoSalDJpq6nEuIJYvORevbp+dcL8UddubPTtO0CKTAnhF1dsOGcnoCfTgn8qSGdtb+JfDsl2bRdetHn3beu1T9D0rTdQowT8vUGvmIEbucYr2b4d6xNqHhaaznLySWTjbIxz+7PQfhzTsK56bay21rp7SRx+ZOOmRnn6d+1cn4v8XWXh0RnUJZri5l/1dtAwXj1J7Cm6ZqB/tFbZnOGmZv++U/+ua8K1vU59W1q7vLiRneWViMn7q54A9gOKYHsvhvx7pviG7+xrDLZ3JHyLK4YP7A+tdQJdu7cxCqCTzXzbZySQ3EcsTFZEcMjDsRzmvdbu/aTSLK5ddrTtCWH1waVgI/GHii28K2cTSQpcX9wD5UG/wCSMf3j/L3IrlND+Kc018kOr2tutu7bfNgXaY/cjuK5z4l3Lz+Or1GzshCRxj0UKK5iCNnYAcjvRYLn0fPcRQRtLI2YkTcSD261zfjDxe3hjSrV7WJf7Vvk3qzgMIE9h+I/EE1VN5N/wrm2lbO9bdQxP90Nj+Qri/ibcST+JYCTmP7HEI/TGO345oSGw0v4keIbS+ElzePewM37yGb5gR/s+hr15dTtpbBL9CTbPGJVPqDXztbws78Z4r1m3S4X4cW20HPkb1GP4d2RRYVyH4j+K7nTrS20ezkaGaePz7mVThtrdFHp3/DFedaNr2oaNqMd3ZzOHU8ru+V/Zh3rc+JJNz4jtrtMmGeyiKN9Bg/rXM2duxJk2theadhHueo3iXWkw3kOQk8AlA9Mis3xXr8+l+Dr+a3l2T3VyLNGHVUUc4/8e/76qZrWSy8K2dpKMSx2g3D0PXFc34htZtQ8K6rbIC09lfLeBe5ikXkj6E/pQB5mH+YmvaPAuvSah4TZJ23yWDeXuY5LIRkZryGCyeXnHFeueDNFbTfDDu/El8d5X0XtSYI5r4jatJLpmh2IY+XJE1y5/vMTgf1rz6MsGGOvrXfeJNLm1Tw/bSQoXutJd7e4Qfe8onKPj0rA0rQLi/uEt4I3eVjimM9QTV3uvCmkXLk7pvKSQnvhgD/KvNPiBcSXHjrUwxJEcnlrnsFAFepalow/4RqPT7Y4a3jXyj6svf8AOuK13w7N4jnGvWSFnkAW9tx/rIpQMHj0OKSYM5Tw5LNa69p08O7etzH0/wB7FeyeJZ5RcanEhOf7GnMePXP+Fc/4Q8HFdRhv7uNo4YTujjcfMzdvwrrfEltLFJZ6lbRGc2pYTQjrNEwwy/XvTA+eEUuwAFel/DuF4rHVXbPlssYH+9lqP+EDhupnuNHvLeW0lOVE0mySP/YK9eK7ay0WLRPDZtYjvIbc7kfeahCOWmMs2n6lZpndLpspQeuxySK8pgtXmfaAT64r22LSrm40+G+sWT7XazybBJ92RSfmQ+xrLj8GafdXpkhFzZBmy9u0X3T3CvQBF4K0uaPwfqRYFftTEICOu1cfzzXLeN4HuJNI1FcmOezWL1w6ZBH617PZ2sVvax28KBIYl2Ig/hFYV14b2tLEkEVzYTP5htpDtMT92Rh/KgZ5d4U0c3Wv2SFCV8wO3sF5P8q9B1ayaXxBd2TkLFqti8CMe0i/MoroNH0Cz0pGNvb+WzjDEtuYj0zVjUNLt9Sg8qZTwwZGU4KsOjA9jQB4BHpcsUzRzxusqttMZGGzXrVv4ektPAkdmi7bnH2hl9H64/ICt6CwCTrJdfZ7m5T7s7xKJfxx/hWj168+tAWPIPEugSalfJ4gtl8y3vgGlRRlopAAGDelb/gzw89jbXOpTJsZo2jiUrhgO7V1x0m3gvGntjJbzzNlxDn959R/Wr08e21lDcNsPWgVjhntzarHqnlNLBHLLDdRqMloW64+nWsQeAp0vB9imguLSQ5Wbd90e9eh6Fs+w3G/7qytn9KtJBZWb7jFDa+Z0810jLn2Hei4WMr/AIRyCPw7/ZcfA28P33/3vzrAuPDia7cG4mYWerIojuBKh2T46OhrvlBaUJg5qlquoW2jWX23UJ4be2JwrNktJ/uqKLjK+kaLDpWnfZ0YPI53SyY+8f8ACsG58NgCSzlgNxYNIZYTEQJLdm+914Kmuj0zW9O1y2M+m3CyxqdrDG1l+oNRa3qVro2mPqF7cNFbq+weWAXlf0H+fWgCHR9GtNIgZbZGy5yzv95qhv8AR996b22aMPIvlzxSLuSZPcDv6GoPD3jDTfETvb2/mw3Ea7vLmx8w9QR1rU1a+stN0e61C7mIht8AxocNI56L/n1pagQaZptrYBvs1qsLN9/DFv1PatHPSuA0L4ji/wBVjsruwhtoJW2RPGxJU9gc9frXfE84NMBh+9SE0pppGScUWC4AgZNDt3FMY469aGbrQwuBLMOKm0yeWC4YR6dbXuU5S5Xco9/rUIIHOOafFBpV2rxatpkt/b8FY4n2lG/vdaBG29yjD9/4MtiPWLcn8lqFrzTFA3+Gb6P/AK43rr/hVIaR4MVfks/EFmf+mN0/H/j1AsPDy/6jxR4qtPrKzf0NMRaGo6EPvWfiCH/dvWb/ANmoS/8ADknytca/H7Sosg/UGq62Vmx/cfEbV4z6XFur/wA1p/8AYszkGLx9psx9LqwipgWNnheXI/tXaM5/0nTIW/8AZKWTRvDtyPk1nQwf9uwjT+WKi/sDXOfJ1jwncH3h2f8AoLUg0LxYBxp/hq6H+xeSp/Wi4Dj4N06Y/utV0Bv9xpI//QZab/wgK9tR0rHtfXH/AMcqvL4c8UH7/hHT5PeHU/8A4paqHw7r2efBM+f9m+hx/wCg0Aej/wDCF6cD92f8Z/8A61QX2g6Nplqbi687yohjHnsSPwrk4B4qvZHQ3KqsfMv+m5MY9So5qtHrnh2GYx3WtyXU/RsxbkB9jzmgDnPEt9qT6jK+iXbx2wb5IvtI3Afiay01j4hLGBANTnA/55MWH6Gu4STwPdSSK8Nu57mZNv5ZYV0en+EfCrQsf7B2OvVvMdM/T56HYDyQeK/iBA2JrDWR9RMKsReP/FULfvbS4+k0ktezW2kaHbZEVtPCR0xfS/8AxdWxc2EKn5zkdmvXb+ZoA8mtfiZ4gk4Nlaf8Cncf+zVt2XjDxDfOFFrYAnubtv8A4uu+Oq6UQN5tCcc72DY/OqlxqWhCQbYbB+eWAHSgDGJ1G5izcQaWzH/aL/8As9U5NGe6TEr2MJzwEiJH/oyujbXtGtJtkbWaherbuKoXvjTTjHIkbWgOOHyPz60AYJ8GqkiyJd2O5TkfJj/2euc8UaV5E4kcI+3hinIropfE1nJnde2jD6xn/wBmqnPe2erKbZbiCRypwsZXP5CpYzz+82yRdBjFcveoYyXRN3tXT3sz6RqDJJCJDE3+rbowrd03U/B+tFRcW8Nrdf73lt/hTA4K1vzeW/kiExywtk57g/8A166HTZJQzIVwQN2DXdXHg6wuLR/sc8ZMi4XzFAP/AH10rglLW96u/wCXY21/5GqJNCaJXhkXADSDB5/KufiHnMJFfbIp5Fbly+xXCNnB/wD1VmXMe2YyRgASDeMUIDp0nSWCN8/MwHFZmrXCSf6Nk70HmD+VQWCfbISsjFJIm+Urwdp5rJvpJItUimlf5Fl8tj/s9DQPckJwwz0rYe5LQwyoAxZBn6jiseddkjLjkHFWrSYtp7x/xRSZz7N/9cfrQhEpmWSUbx0O6qWowLHfTRjkI52n27UtwXiQvF9/rVWOU3VjbysSZNpjc+6nH8sUAHmMdu0ZbPFdk64GO9cQuYZAxyQDmum06+mvrGB8JwWSUnqMUhliWHcvIBFc7fhHWJo9wVN0Zz7H/wCvXVAoucnJ9KzdWlt7vRw0YVZIJBuAHY8fzxQBzAfacd6ksrtYNTgHOJG2HA9eKidSD71f0XSob++33LMscJDAD+I54oEdHBh4+oK1XtnuLeSZtpMCqWXc3Oaum0mtby4y26Hd8i56VI8KhDn7p60DOaOsteWNxYSffZTt+vWudAPmgetdWfDX2i8jmsw8hjfnngVzUqvDeyQkHKOVNICyuAMc1u6LqUNsqxsFB3fN71hHkevFULyd7ZN0S8g8nNAHVXkKtqE4XJRmLAA9jS21vaOqJtzsYsVLcis6yv2ubG1nPDvFtY56FTirEDxRM1ydy7uuO1AzVkgtry1CN9xiBgcc1oWfhHR0UbEBlXnzD97OK5rVbkiONoXyq/NjtkU+w8S/MCZAH780AZTRlZmXH3TimAM7Md/HuKt34C6lMQcKzbgPrzTJG2xkjBpokz5rYurPnIp9v4H1DUEExIjB6A8mn+acrggqGGQO1dpp2uKoUNg4FAzJ0TQrrw7A8Ny2fOOUIH0/xrYQh3AkjXb9atavex6laQ7PvQvmqET4Yndj2JqRlrUYo57KQbAWYfLXDX0TGJ1INdfLJMzLHD0J+c7eKoJbxTXSW8g4Z8MfahAecyNdQuRE0hx6DNSR63qcI27/AJfePNe6WWmaYsQRLeID/drRXQtKlUj7LDj/AHBTsB4LH4sv4sAxwSAf3o6tReNp4/v6fbP+Yr29vBmgXCnfYQH/AIBVSX4ZeHZ14sIlP+zxRYDyeLx+EY507aP9iY1at/H1ok8kpt7pDJjdhwRXoE3wf0WQnZFKh9nrPm+CliQdlxOn60AYMXxE007Q7XIH+1GDVlPHWiSdbpkI/vRGif4LyIDsvJfbMdZdx8ItVjyY5d4/3aAOgi8W6HN/y/W4J7EEVbTWtIlB2Xtm3/bYCuCm+GPiCPO233fjis6bwN4ggzu06Q49KVgPVUnspGwk1u2fSVakMdqxwR+IrxmTw5rMHL6fcqP9w1B9m1KA8pcx+vBFAHsp/dyOBnFT2km27iLcYdSfpmsnQ3MuiWLuSWaFck1qRRNPdxxJ1cgZ/rUMZZ1CMyapd+SrSL5jcquayJDhx6n1rbuNSe2/c2bbIU6MvV/c1kXxDyrMoAEgzwOhpRBlzQjt1NPcEfpXUYzzXJ6IcalASeS39K60mtBDT0PNM6CnEDFMPIoAYaoaopNnIO+w1oVBPF5q7P73FCAkQfuYjkcoOn0pxyBUVr81lbn/AKZj+VTGh7gCkmlIzmkQdaUDrQBVF75F5fSD79np0k6A/wB7k/8Asor5wmmkuJnmldpJJDuZickmvoOd0tPEFvLOdtneRPYzE9Bv+7/UfjXiniPwzeeHNblsLhGZQcwyY4lTsw/zxQBjxhmfuc17v4bvZ7rwJYTSkmZInQE9SFOBXkGkaTcX97HaW8TPcSNhVA6e9e621jFp2mW9hCd0dvGEz6t3P50ho84+IN7NP4O8PRoSYd0rPj+/x1/WvOIwSa9qm0SDWtP1DwxdSiG4MhutNkI4buV/Ak/ga4GPwTrUF35E+mXAkHRQmQ3uCOtMRc+GaOPHGnbR/f3fTYf/AK1erwSmPxdZJuCieKaNM9N3BrI8HeFj4eV9Qu4wuozqUSP/AJ5J3/E8VqazZSz26TWpVby1cTW7n++Ox9iOD9aLAfPN1BJDfTwyKRIkrKwI6EGpba1ZxnBr1TVvCdt4w1CXUrIrZ6kVU3ljKQpMmOSP8ehq5pHw8gsCtxqs8Z2sCtrHzu9iaALcNrMfAVrasGWcWZ3KR/Eef8K4H4jwvczaRrCFnhu7JQWx91x1WvYnTzASV27uwHT2rmptJKLPpt1YfbtHuZPM8sH57Z/7ye3tSHY8Tgtnkb5R+NeweANHuNN0C7vZ0Mf2xUWMMMEquecfjU1r4B8PW8gkFzezIP8Alg0e3PsTiusutz27EjAVQqL/AHR6UwscjJOdP1NdQYfuba5Hne0brgn8OK828TeHLrRNdliaMvBMxkt5F5VkJOOfWvYLC3S4udRhkQPG6oGUjORg0sWiTWkH2YOLu0H3Le6TeI/ZW9KAseT6F4dm1K6igjQkk/O3ZR3Jr1nU9N+06O1tbnBRR5R916fyq/b2iwwlEijhVuSsa4zVkIuMdqVxpHlPizRrjxK0Wu2MLPchBDe22PnjdeAdvpis/RfCN5eSKnlvEgP7yWRCNv59a9Ym0qF5jepuiuOhmjbY2Pc9/wAangt0KgvOZWHq2aLisUn0yGbSTYBMW/leUB7YxXGavoK6zZW2l3Ui2+q6evl2s8vCXUOeBn+8K9KCiopLaCZSksYYHjbtzn8KQ7HmmjfD26W5Q6i0cVqv3hHIHd/b2zXozwLJCY9iqhG0KBwB6VJBbLbRfJbNGnbKgVKHB/8ArU7hY4i88OwXFl/ZWqJMbWFy9neQjc8OeqMv92ptF8FafZXSXDXDXQQ5SPy9q5967aO1knYIqKWPJLcBR6mqcF9pN1dGzs9Ysbm7Bx5McoJJ9BzzQBnaypNtJu6lDVWbTHmFnqFo4iu0hC5ZdySKRyjD0/lV/WMm2cEYOxs1ZsMyabaKCFJhDFiOFXHJoEjFtNC08zCabR4UmHUK5ZM/StvPzHd+Ncnf/EjQtN1AWsKXN6oOJLiN/lH0Heultby21C0S+s5fNt5R8j46H0NS7lqxnXWlB70XlnM8Fwvyu8ePmX0YdxV2ygMasCIfm6mJAu764qrqOp2OmaRd6hdqJLe24WIHHnSnolef23xV1Jb4GaxsjaE48iOLaQPZqLMWh6uI1OQKqPpVot4tyN8U7fxRZDsPw61Ytbq1ubGO/hk320sfmq3tjp/SuO+Ini+50NYdO0yQR3k6ebcXCn54x2Uen/1qSQNo9Ahj8sL9/n+/1qSRVKNvcAY+Yt0ArxHwj471Wz1qCK/vZruzncJIsz7tueNwNew3d0I7y3gfAVizyf7qDP8AhVJBcY9rDBOl0628MbdJLh1jY/TPNTagSdNkUhRgA/Kcj86+evE3iK88R6zPeXcrOpYiKMn5Y17AfhXd/DjWLq50290meQukcXmwbuSozgqPbvVE3O78PSBNMk3Bj/pDqAO5zVLV/F2h6Hf/AGW/1AC5P3ooIjJs/wB41SsNYbTrG9kD/NBDcTKPVun+frXhss8tzO80rs8sjbnY8lj6miwXPpu0u4b21S4tJUlilGUdTw1UfEGt2Gg6S1/ezOI92yOOI/PK/tXEfC6/mj0jUoGYssLCWPPYkHP6isD4h38l5baHHuzH9laX/gRbB/lQFzsfD3xHsdb1BLCa0ezlkOISZd6sfQnsa7IyJ5iRGYIz5J/2VHJP9P8A9VfNtnHLHcxyJkFWDA+/avZdSuLg6tdRDIL6RNt/3tpzQI5fWPifcx6s6aJbWyWUb4VpI9zzD1J7ZrvdD8RQazoaamqCM4IliB+447V4Fb2xkYYzXpPhm3ntvAuqyKrANKWT32qM0rDuaHxB8bXOkJb6RpUxhvJIxJd3KABuRwAe1ZvgTxfqOoXzaTqd1JdC4VvJklOWV8Zxn0PNc/44tZZ/FP2pVZoryCKSJuxGwDir3gjSZB4ktJQMLbbpnPoAP8aYj0jRryG2kkV+VSSS4cf7ir/j+leG65rV5r+qzX13K0jOx2AnhFzwo9q9ViIGqQiRisNxLLau/ZfMQY/UV5mdCuLa/mtbqJkeJypBH60AeieEfE86eC5JJ23PaP8AZw55JQjI/niuV+KGrTaj4kityf3dtboFHbLDcf5j8q6y28Nta+CJLVFIuJh5zjv7D8hXM6zpD67BYaxAhdvIWC6ReSkicc/WgCv8Nry4tvFEMcY/dyo6uPXjcP5VJ471KW+07Q4/+WXlyS/V95B/lXSeB/D0lkz380RTC7YQ3XJ6mqup6CLpf7Jm2xy28rzWUjnAmR/vJn1BoA4vwp9pXxNp7Q7t/ngHH93v+ldX43nuLjRL1Ax2Q6ioZR6FPlNb3hHw0+lTTXl1GgmZNkS9Sg7t9e1WNY0QtdSv9na4s7xQl1FH99SPuyL7inYDyLSrOeS8g8tDvaVAuPrXvxPze9c5oXhS20y8W7Wd52C4QNHt2+/1ro1TbmgBD1phOKk7UwigCMnmmk5apSopmzk0mA9APwpyabouoKY9XudQtwp3RNZFgc984/CkG0Rkt92nP4StPE8Me/xI+kzQsdioQDJkDk8imA7/AIRfw90tvG2vW3tI5P8ANalXwgGx9l+JUh9BPDGarn4Va+i/8S/x60g7B/8A9ZqnN8PPiRbk+Tq1pdj/AGwvP5ii7A1f+EL17ra+MtIuR/01t0H8jSt4S8aJ/qx4bvB/wNP5VzMvhn4m2p+bR7O6A/urHz+tQ7fH9mC0vgvOP4olYf8AoJouxHSSeGvGiff8J6NPx/yyviufzqu2keIYD++8CXA/69r5G/pXPnxf4psgBP4a1SDHeOWVf6U5PirfwcTx6zb46/vs4/MUAbRub+0b954Z8T25H/PPD4/LFSf8JJIvBtvF4I7fZX/+LqhbfGAcb9Xv4z/00hR/6VoD4vQ4H/FRD8bLn+VAHY3OlW927GW2jLMMbj1rj7n4W2l1Ix+3SR7myCqnK/rXoIhZfutj61JhlA3KfqtIZxdp4DWytRbQ38gj6tmPeWPqSxNTp4HiQ5+3z5/2UUV2CKGPBqQQ5oA5BvBVqx+e8vCf9kqP6Ug8CaYeTPqBP/XYf/E12fkinLCB6UAcePA2lAAFr1vrP/8AWqWLwTpUfKxXZ+twa7FYl6Gplto8ZyadgONHgvSCebJz/vStUy+B9Hx8umoQRg/O/P612Kwxj+8fapNiBcjNFmBx6eBtJUDGj2v4rmlg07RdMvmiGnWkVwE6hNjAf1FdeQpYYWsHxHbwi3e4SOHzkHO47Tj1zRoB5b4/8MkxG9tkzsyVxzuT/wCtXkdzBsfcB9a90m1aVLT/AEu1+0Rets6kr747j6V5v4j0aGFkvbEFrKbpkcxt3U0RkmDVjl7LV9S0yUPZXtxB7B/l/LpW0L6XU4PtcpVpmbEu0AAt6496xHtjuIA5qTSYpbe+LMf3Mg2yD09DTEdJDepPaYddkkACN/tDs1KDbzWh2yKZUO5U9UPU/nWbu+x337zlPuP9PX+tSTgxXG5cb4z1HcH/AOtTA0dP8x71UiXlwVqvq6xNayRPHtbcc8c5pZdybWhkZc/Mjg80ySeXUY0mlUGX7kqjpu9fx60MSIXJmghuD/GgDf7w4NJZS+TemM/dmXy29vQ/nV8zWZ042TBY7kHzIm/56eo+tZBXeyqGwc9TQhl4qVUo/wB9eCDUMESeRcRoNr7hN/Q/0rU1KwezaKWQqzToGJXpnoazIpfs90kh+70fP908GgRXkQbQKt6QSYrm3zjpKv8AI/0ps8PlM0fdTio7TbHfRs5Kxsdjn/ZPFAFxmZSfm5FZ0ZdNUVd37q4VomX/AGj90/nitG5tRCpViQY+M5rLlycOhB2ncpHqKYxM8Hg596je+ltP3kRwQfmFWb4A3HmIAI5gJEHsf8mqM6gqc9CKliN5L2XW9LjvRICsZMcgHYjv+VbskCS2Pk5bbj8a5PwpK0Ul3aqQNwEqZ9Rwf0NdFNP5U5V3ClsBQTyaEMn0jUH09mgMiqUbhSK5fxBED4huJkA8ub96v4//AF6fr1lcvcG9tZcPjnBqrBNcXmnCW6VfMgk8okf3TyP1zSAiBx34ra0DS7C9Zpr8B9rbUQ8D6n1rDZWLfdI/GnLqEmnsu4/ITmmI7XWdIsNOs7OSzWMRM7AqOmTzXPvC58x1RSG7huMVJHrMep2D2odS6rvjHuv/ANaqH2toj/rDnrx0pDRfljtjAwuTkMAQF6/WsSTwVqt+Dc2UW2I8oXbBamG6kmulZ5CcEE5PavRNK8SBE2ui4H3dtCA426srrTrWyhvoik5hGcnOcHFUC6MhyT+Vd14zmi1S2s7qJPni+R19M8iuQls4QiyNx688UxGdKFVCU+8wrP8A7Ulsmwylh7GugaKJBuypAGRgVvaZ4G0+8tlmvi0kknIUNgLQNHPaDrkd9d/ZSZA7ocA9OOf8a6SCQOm1shuma0rT4aabb3KXVs0qSRklcPnPFZEcbFmWRsCMnilYY1p3jJ3O2FOM1QvJ/InEu4nHzHJrR8jKqGYN/tVm6tbDydy9ehpAX7TxDj+PitaDxIduBLz35ryuWG7jlP2fzCP9kE05Nc1W0G3jHo8VAHscPiGUhdsymtCPX71TymR7V4rB4xuY+JbSCT3GVP6VrWvxAhiwJLKdMf8APObP86d2B66niidT80Z49qv2/jVkGDGmB6rXlcHxE0xz87XMf+/GG/lWnbeL9BlGGv4Af9tWT+lFwPTk8b27AF7ePH0xVqLxTpsgy8Kj6GvN4dW0a5+WK7tnz/dlH9avJFBMuUyQf7pz/Ki4rHoMWt6TJuL9CeBjoKmW50SYE5Tn1Febm2QDAkdfxoEEgBEdwfX1ouFj0lrbRZ8DchH14qNvDujTgDEfP0rz5ftka8TE0/7bqEYG2TJ+tFwHeJtOh0vXntoMCLYjLjoMiqdoxiNzL3Fu2PxIFMupp55hJcZMm3GT7VJp0iCdopMbZ42iyezHp+tZT2KRVeM/Y/OyMK23HfpUBUvZ7v7knX0z/wDqrRkidNLmV1wRIM56g1Ug2nTLgFgDuXA79f8ACnfQGN0x9uoQE/3xXYBs5ypAzXFRN5M6P6NXasc4NUmIQjFMP3enFKxppPFMBB71E5wyn0YVLUU3CGgYywO7TovUZH5Gpj1Awar2C7Yp0/uzN/PP9asE/Nihgh4wMUHrTc88UpPNAEF3aRXsDwzoHjYYYGqYtLhIltblINTs1HyLdrl0/wCBY5/LPvWrFHv3cgKoyT6VU1nUdP8AD9iLzWLo2yOD5UKcyyEdv84A9aACytbeyUrZ2NvaBvvGIcn8cA1aVQVK9q5LTfiR4Zv7oW7m8swxwJbjBT8cE4rriojfYCGUjKsO4pAVLzTba8jVZogwXkHoVPqD1BqWKSS3Cwm+kbb2kdSf5ZNWcwRwzSTyiOGFC80n90Yzj8ua8n1T4pXK6g50O0ghtlOFa4Tcze+Ogphc9YVcDPVvenjBI4GK5LwZ47j8UubC7t0t9SC7kMf3Jsdfoa60sqgAECVmCR/7x/w5pICtNaW8s5C23nzL2CBiv+FWEtHhQM1q0Yx3H+FeafEbxxcWF/JoOiTSW6Q8XM6N87v3UHtjueua4jR/GmvaRdrPb6lcSc/NHNIXVh6EGmFz6E8yMDpTA6zSiKOLfIefYD1J7VnWWrQano1tqsK7IriPeV/uEfeFcj448VTaf4Tt4bNjFcasWeSRDysQ4wPTPA+maVh3Otl1/Qre6NtP4g0xZgcFA/Q+hNaNyR9mfBDBlyjDoRXzBuy3PrXqfwx1q4ntLvSZnLxxp50JJ+7zhh9OlArncaOcaneqTtXYjMfTrVjX9c0zwzpy3Wr3EmZP9TaQn95J/nv2HvWRa3BXX/s6nBneNPw5P9K8m8d61caz4uvZJXzHBIYIV7KinFAXPUNK+Jfh3V79bN7W505pDiOaaUOmfQ46V1pUiUo5CBfvH0HrXzDFy+O9e7W2pTyeAdOvHbMzWyrI3rhtufyosFzT8U+JbLwno0V9cW32i7uCRa2zNwP9pvp/WvPbH4w6wb0HUrazuLQt80UUIjYD/Zb/ABqH4ySSf8JdawZJhjso/L/HJP61wMMJkYDmnYVz6Vhu7We1hvYJd1nPH5qSf7PcfUdK5vxx4xfQdFg+w4W8vciJiM+Wg7/y/HNU/Dnnx/C+MAnerTiP/d//AF5rkfiMz3Mfh65HMcljtB/2gxz/ADFA2YNn4p1u01AXkep3Rl3ZbzJS4b6g9a9r0nXINT0SHVmXarITJGOzDqPz/nXhFraNK4x0HWvVvDOmyr4IaDJ3TM7J9P8AIosAfE3xNcWPhnT9LtpWSTUkM9yw4Jjzwv4n+VePW0skc6SRuyMrZVlOCPpXe/EC2k1DQPD2sxjdEsBspdo+5Ih6GuPstPklG7FAj2e11STWvCFlqU3+ueJo5SO7rwTWLrmtz2/gbU3icqwMFoCD0BXJ/wDZvzrbs9NOk+FrTTWHzqrSSD0Z+cVz0+nC+0650dztOpW8c9s56edGPu/iBTA8nXlhivS/hpcTKup2zsTCIllUejZxXHQaJdw3ZguLaWOdTjy9hzmvVPCnh99IsJjOu25uP9Yp/hA6LUsaON8aXMkvgzRgD8j3dwZCO7g//XNcJHE74wO9eqalo0VzbXOh3jiCOWf7Rp9w33FlP3kb61nad8P783KxXSCCFT80u4H8sUwNXQnurb4asxDfLIWXP9zIrkPiGJJfF0suD5UsMTxHsRsFeynT4W0v7CqbYBH5Sp6LiuNvPDqXkMGnakkkclmCtpfKm9TH/cceopXCx5rpWnTXF9DEiku7qFA+te16w2zXtNRnxHcxTWgY9NzJ8v8AKqvhnwna6XO120wuLkfdbGFT8PWt7WNLi1Wwa3fcrDDJIpwysOhBouCR87nTZ0upbeRGR4XKOCOhFel+AtLaGG51FYyqiAwA/wB7uTWtPo63F2DqumLc3Kj5rmBtnmD1ZfWultoUh0l1SJIlEeAidFFO4rHHsiI5abC2k7TWUr9l8z7p/OvP18P3OnahJb30RSaM7Qu373uPWvYdIsob3T9QtrhA0bzkEEewp8GmPZSLb/bRIi8KkvzOo9j1oHYzvB+iHTNLcPGUkuTvdSPujsPr/jXNaxoJv4k0ljtv7GVzbg8faIG5wp9Qa9OiCqoC9B3qlf2dtdMgmh82Q/6tVXLZouFjhfDfg+4S/jm1C2EEEDbvLblpG7D6Z5rq9bsLiT7Pf2SK91atu2twJEI+ZPxFbFrZG3Q5Qhl4ILglfr6VMse5iNw4ouI8zh8HW1zdNLZXP2a3Ztz280R82LP8PvXeWlhDBpyWcce2BU2Kp6496rapq+laHcqupX1vbPIMrFgu5HqcdBWpZzR38UUtrIk0cozG6HKsPUUDOTfQGSJdOvYDdWMLH7JNE22a3U/wnP3hWrpelWum20q20Tqrj55JPvP/APWq/wCJtT03w5pn2y+nk2MdsccJ+eU+1YPh7xnp3iSWW2hhltZ1QlY5XDbx7H19qBE9lYw6hb6hbTpujdx7Hp2qaKweO4QXE0FyVH7tpogZQP8Ae7/lU2gKrXd1Hn5mlQL+VcX4p+J89nq8tn4egt4reBikk0sQkaVgeTz2/X3oA9EAGP72epNZUunWVpem7iQwyuBu8vIDf7wHB/GmeGvEsOu6KupOESRPlnRfuh/b2rkPib4nuBeQaRZzNEixiSZozhmJ7ZoA9BQhSO5qSS0W4iy0Kuo+Y7yAqj1Oa8u+H+u3X2uTT7id5I3UtH5jZ2mtf4geJZz4PtLa2k2/briRZtvdEwMUDOytLqyuoXOn3drcrHxJ9nk3bPrU+QQT1rwnwpqFzpniG0mt3ZQ0ixyAdGQnkGvdmXYdo6CmIM8GmE0p7UhOTTASkbinZpreuKBAR8vvUOGGamPCjmompADA7e/NUdS8M+MNU8q88PwWctptKsJduS2e2aunO2szVY/GEF+ZNN8N3F3YbF2TIzAt69DQMzpNC+JFr9/wxFMB/wA8v/rNTBqfjTT/APj48LarGB3ilkH+NWB4u8UabkXWga5Djrsmk/qKsRfGC7tsCb+14Mf89UV/5igRQHxE1qw4nsNdt8f3pif/AEIVah+M10jDdfahHjtLBG9aMXxmjlOJL8Y9J7EH+VXE+JWi3ePtH9gz57S2rIaAKsHxpkkA3apb/wDbWyI/lWjH8XLWXiabRph6Ojp/MVH/AG94Jv1Jl8P6DKT3jlVD/Kon0n4fXoyfDBGf+fa6B/8AZqAL48f+Hrw/v9E0O4z/AHZY8/8Ajwp/9u+DX+Y+D9OJPfdBWQ/gT4e3AP8AoGt2h9Q+4f1qD/hWvgLtq2sKPTy+n/jtFguerqFqTgduajH3sn86eCc0ihdgPVc05A6D5fmH+0aQZ6H9aCxoESCQfxAqalUBvpUAJIoEWMbGMf05H5UAWwnPBNTLleucVUDbeZEx7jkVYUjqMEHuKYEvmjPSn8NjJqA8445peo70ASyAlcKfyqhLbyckkNnrxVvqeKZLJ8oXPJoYGcLcnjaPyrM1jw/a6tZS20yKocdQtb+QGzuOfelI3k5bHHTFSB8yeIfD91oGotaXKEd45OzD1rJivZrKcybEmVvvKw619JeLNG0rVNElGpI3lxjKSxrmSM+o9fpXz3rOlNpt9JbM6yKOUkXoy9jVJoVmaEV94Y1tokv5LjSp1TblF3RN7k9quaj4a+xaYl3Z3UeoWqfK0sbbiB2JxXFMxhYHaGUdq6Pw8dEupiJNSl0uduM9Ef2NAxIkL24hzl48lMdx3FRWUwtr3Df6ub5GOeh7GtfV9Jl0qaN1mSWGT5opoW3KfbNc/dtuc7sIrH04FO4i7qVuXhGPllibKn0NZt4u5hJj9265B9KvWty15YbmcNJF8rn1HY1AyBw0LnAJzH7N6fjQBHpmqTvu0q4YOv34Hb7wI/h/Efyq1Ddx2lxHcTw+YinJTrWJcwyRyq6jbIhDKfQ1sJH/AGhAtzHtAf7yZ+63cUAa2pXNhqIivrCRPmASWMdUPb86qWmnm9fYkiJu7t0FYkMb6VqW9xi3l+SXHYdj+Bq/vdHaESMj7uCvY00I29b0yeK2jS4x+9jxvQ8ZH+RXPR2X2aIruJJPpirln4iubsjSr5FY5/cy99/p+NSMUDqXB200BQcNJpw/vW77f+Atz/PNZ0peReDtI9K76w/4R/V7aaCKJIriSMopHBz2z+NcTNC0UjQyDEiEqw96gZHp1yLTU7e4boj/AD4/ung/zrrL21R7iKVyN6NhSW61zVtot5qIkFpA0u0fPjoK6KK2mlsbM6lBJDPF8pD8ZK//AFsUwG3IVo9rNxWVaoJprqCMhhIh4I43r8w/9mrTvbRL3CMzL5fzfL61BLGYGjkTgxsGHvigDIDNvO4KB221BdKroVJGa0NQiEd1IkeRGx3Rkf3TyKoyx5UgNih7AZVk/wBi1aC4P3Y5AWI9O/6GtG5t3S8mi342nAz3FZ8ynaytgH1rdjf7bb2U7Rbt6eVIwbB3Jx/LFIZlzR+V8yjJA+bFQJqc1m/cqO4Na+pxAXBjWNhGAANwqEQxNCY/LUrtJZ/ekBf07X01SKfTxnzHiMibh1ZPm/lmmzmMorqq5PPPNYdoUtNSt7yPjy5AT2yvf9M1uahBb2FzKnmOwViOPTtTQiGeRmhO3AGK2rDX2NtGEkKFcD6Vi/uyFJj+bHRu9c7dPNbyO8TlOe1MR7JYeJXUqGfceO9YeqjZqErLwrncPxrz611m+iXcx3DtXW6dqR1fSVmcbZIZDC/81qSiyrccmoy0U0wjboTipWgcQ7omBY+vFZNxK0W8nl1OetAHpGnWunCFYwkfTpgVpLo2mTLk20ZPuorzKy10ZV1k5A4rcs9adUVY5hgNnk1V0B1MvgbRLsHfaRZP+yKybr4RaNcZ8pGjP+wcVYstQ1IsWEySpjgB+RWiviG8tmVZYXIPUgZxQKzOOufgkvJgvpVHoVBrFu/g7qkOfIuY5Meq4r1SLxYEiO9Hj+YZ961IvF1gVKyxIMNtyfWiwHz7cfDPxHbEkWySAf3GrOk8N+JLAn/RbyPHdCf6V9RR6zpE4+aMqPXrUv8AxJrjo6jPqKVgufKseqeJLBv+Pm+QDs+4j9a0IPH+vW6hZWilA/56x819LSaDpN0OBC2fXFZlz8PtGu87ra3f6qKLDPC4viZeKAJtNgb1KORWjb/EyzOPPsbiP/dcNXpV18INFlzizjBP9w4rn734JWzZMHnR/Rs0CKOm+I7LxCJPsgk3QgbhIuOtWucZ98iotP8AAFz4Qae6MryxzKEIZehzkVaC7+PXFZstElzezXFqIpCpVe/dvrVJFxnitIWLSNOA6qkP3mY/lUE8EUaK0U28n74I6f40k1sBUfpXXo4aOJs8FR/KuSYYHFdHZPvsbc4/gx+VUhFskZpppOg96BVCAnFRyfdNPzjNMY5U0rjILR8XFync7H/NR/hVo/eBNZ9udupNn+OH+Tf/AF6vnmmIcKU9qaDStQMYt2q6haWbf8tGLk/7o/xIrwvx14hfxH4purr7sEZ8mBM8Ki8fr1/GvYr2T7LrWm3cnEO9oWPpvHH6ivEvE+izaL4iu7OUcby8bdmQ8gigRkR8uPSvcfh5qMt94QhWclpLSVoMsckrwR/OvHLOyZ2EjDEa969q8G6VLpHhmOGZNk9w7XDKeq5+6D+AoAzfGuov/wAK3v5I25udS8l8HsCeP/Ha8YGT1r3C90f+1LLWPDLyCOW6f7dYFuhcdV/P+deVHw/e2tw8F1bSQOhw4cYOf60AHhiee18R6fNDneJ1xjvng17zdzhNf0UZwkl7g/ipxXB+BvCbxXo1i+iMcMIxbo45dj3x6Cu41ezmu7H9wwjuo2EsLn+Fwcj8KAseB+J/N/4SnVhL/rPtkuf++6oQwO7cD616N4j8NxeI9Q/tHTiYr+Ti7snHKSDuD6GpNJ+Ht4XBvwtraqfnOQzt7AUXCxv+D7eVPAMETrgyGVl+hNch46tprjwv4dv1XKQxvazY/gcH/wDXXqttBHDbJBCmyGNQsaf3VFc7f2AtZbqCS2F5pV8d09tnDI/99P8AP0pXHY8RiiLsMDmvTPhvprRzX1+FYRLF5IPYsatWXgTR5Ztwu7xUBz5bR7WP4129taW9pY/Z7WFYbeNcIg/nTuFjnL0vbag98oJ+yeVOQO6g4b9DXBePfDsmn689/DmWx1BjPDKo+XLcla9StIw+tTqf4rcf+hUkejvaRywQGOWykOfsdwm9FP8As91+lArM8d0jRZr66itYU3yytgY7e9ezS6XGnh9dJibMccHkg/h1qaytIbNWFtZ29ru+95K4/WrYUbPepbGcRr+g3PjLQ7V40QeIdKTybi3JwZov4XX/AD6iuc0rwHrF3OIPsktuM/vJZk2qteq3GnQTSR3Drtlh5SVTtZfxFWFWeRB5slzIo/56BqpMCCOyt7TTodOt8mC3j8sE/wAXqa5HUtIhmsZNG1HfHa+f51ldIufJJ6o3oK7c8UhtBPgGPeW6DHWkM4Kx8ExhlD3cTRD/AJ48k126QpHAsSKFRV2qo7CpEiihmMBubFJv+eQuF3/9805gUOGXBFArGGunyWc15B9mivNKvjme0kONrf307Zp+m+H9F0+4S4trKZpU5QXBBVD610bWscVm9xczJDCqFnkf7qiuNT4g+Ejdi3F1fY3Y+0NEPL+vrj8KBm7f/NCzE5J6k1Si02DUdAtY5lyNgIPdTk8g9jWhfqPs4IdXRhuV1OQwPeo9IKNpVsjyeWqxF3fP3EB6/wCenNHQRHbQSwII5LppSvG9wN+PrV9FGzaMV5jq/wAVp4r549Cs7aKzV8LJNHueUep9K67wj4sh8VWsjeQLe7gAM8anKkHoy+1KzGmal/aW8tt+/AMatkgjOfb3pNN0ia2bzVtJVj28bhj9M1R1rxHDpGiX2rBVkkt5Bb2iP90zEfM34f0rxl/FGtyal9vbVbs3W7IkEp4P06Y9qfKFz6H9qbO8USu7+UFj/wBZJK21E+prC0LxUNZ8KjV5kC3EG6O4x0LqM5/GuG+JmtXDW+m6Ukr+U8IuZ/8AbZjxn9T+NJILnpuneINJ1WZ4LG/tbiVOqRNz+APWtDKqrMcn2HVvavmfTb2fTr+3u7dykkThlIr6De/V7/SOMJcP5m36JnFNILmT4o8X6P4bvfJuvPvb8oN1tC2xIh7n1qzoPiTTvEGkzPZBoyoO+KQ/Mn+NeE6rdy6hrF5dSsWeWZ2OT712PwyM0WvSqAfLeBhJ9O1BJ6Vocmxb2JWAeW62jPb5eT+VcF4n+I95a6lNYaC8cNtC+1p9u5pSOvJ7Vv29xLHrphUnLi42gd38sYrx6OB5H2kHd/FTA9x8FeKm8SabM9wix3cGBKE6OD0YDtVLxj4pk0nw3JNaEpd6hK9vFIpw0ca/eI9/8ax/hpYSxy6hKuRGIVjz6kmsvxfDNceGdMf5nNpdz28o/uktkfnigLnNaBrl7o2sQ30MsjFXzICx/eL3DV78uqpHPDCoBEiNcZ77Quf8/SvCdK0G41O7gtIvlluHCDPbP+HX8K9c1dF0y4028Zj9mi/0WVvRGG3NAHiGs6pLrOsXWoTEl55S+M9BngflivRfhvqk1r4f1NGLEQfvU/2cg5H6Vyd34Ym0zVpradDtVz5TdpF7EV6T4U8PNaaBcxzJsku85Q/wrjAz70bAcb8TdRmv9T06A58mO1WRfq3esrwZbzQ+JtNmVWH+kL+Xf+ddZeaSutR2trKNmq6Ypikhbjz4/wCFlz1rW8PaA1pdfablBG8Y/dp3z60ATWlw8XiNYo2IMkzquPXyzivFxbyS3DqQdwc7s9jmvZTYzXkl0bVxHdwvHNA57OM1Rl8MWGpXxmZLjTp5DuuIfKDoX7lG96NwMzwfaXNr4V1eUAhJGBUeu0c1geKbKS71uG8HMV1bJIrfQYP8q9htLK3trNLaGMJCi7QO59zWBJ4c8jNuiRz2O8ukcuQYfZGHb2oA5TwNo2/VZbluFgj+X/aZuMfzo1nSZb/S2s4+bjTrx3kTv5UnIYD8K9CsLCGxtxHCixgHOFqtf6TbNd/b/NkiuRwJI2wcenvTA4zwf4XFxqCXMymOK1PmFz/GR0UV6UTnnPWq0P3fnZmx/eGKm3Aj5elAbCk03pTjSDrTEJmmlsmnH7tNA4JoARmGAMUw/e9vSnN0FNbG33NACoPmUHoayF+KsmmXUtubzUYUiYqoe2DoMenPStpJFgiNy/CwqXJ+nNQRfFzSLuMJM+lzjpi4tGT/ABpDHW3xrjYAPqFlJ/13tZE/lWlD8UrC8OJrfQ51P/Tfaf8Ax4VQTxB4P1Ig3Gg+HZie8cyof1FObQ/h5fjL+GTHnva3AYfo1ArmqfEXha/X/SfDWny5/wCeTwtVO40r4c32TN4duICe8UPT/vmsm48AfDqf7i6zZE91UsB+hqFfhj4b+9YeNr61bsJUx/hQBPL8P/hreEmO+1CzPowI/mtQH4Q+EZz/AKF4zkjbsHKf/WqT/hXGvKuNL+IFvKvYSSc/zNQyeAPiRHnytT0u+Huyn+a0AKfgveLzp3jWN/TLEfyaov8AhUXjpeI/E8JQdD571E/hn4jWQ3SeHbC5H/TLbn/x1hVUy+N4zsPg2fI/umTH86APbjyOaRhxxzTinvSY5PNSUC7lHoKeHU9+aaFwSR1peDjNDAePY4oyR1NAIGKcSu4ZoAehPZuaXYoYn7rHqVpo9qduG3JximIDO8aklQy+o6/lU8ciSJuBH51AyuflULuNJ9mnD5dP+BIaAJWmzgIelIWye1NYSA/Mm8e2M0zKD5c4P5U2BKDuHbNL1Jz29KbsXcOxpxXpg5pAZniI7fD143faOD9a8qvfDkF9bl/KcFuSRgV6p4mXd4fuUzg8fzrxbxPfXEV0bZZZPJKrhFrGq7M0hqcxrOjvp0hDOkkefvIwJH1rBcAZ44NbEy5jIJOAemetZEzbWIIpwqX3CdNot6XeRQlYnuHhjJ5U5KfXFXNRhPmFUnSVT91k5U1z0hHHoadb3T277hyvda1M7MlSaaxvPNjJyvUdmHoa398d1As0XCN+YPcVgyyrMS4x81FtfyWcm3G6Fvvr/UUxWJL3UpVnMbKhK8GQ9/ereh3jx6g8DMDFKcfL2bsaxtTYNcO6/Mrcg+oqpbSSpMDGxBHegZ6BewJLGysoPqKpWpEyFDnzYeGPdl7H+lN0rVjqKFLji5QdR/GPWnTBra4S5QZ28Mv94elMTMy5BaZnj+V0bII7VptOL+0W5QbW6Sj0eqV1LbRySOhdsjOAh4qLTb0R3Tx/MIp/lOR0PY0XQEN7C4kEyEq3UkHFWvPN1Zx3TktIP3czHqW7H8RVi5i2sUIwy9RVO2UK0sEh2xTfKfY/wn86QE9p4guNLAaHJTdllrqh4x03xJYrZO+y9DZhWRcbm9M+9eeTRSRSOkqlWU4INUX328ySxnaytuU+houM9QuIWeeDYUz3EjdvpWjHokeorhbpY3PRcZrFivbfU9OivVXmSMljjhWH3h+dUkvru2jjvLaT2dSKLiNbX/Dd3p+nQTysrJG3lbo/Q8jP61yNyAgODgLzgd66xPGEOpWMmmahC6CXgOpyqt2P51y9whildJhtdWww96AKDoJQJF4BHIrT8OzMEu7Y/wAI86MH24b9P5Vr+H7LRb6FxeljIThVVsD610ln4C05buG5sb5wQ2THJ8wI7igDi7mRJ1TEzPn+91FPit4kRZPNiIP9485p17YNZajPayDa8UhXGOv0qhMjCYD+63HFAzNvraZb9iVYDPpxitud4ZtNsbzOZMfZ5vUMv3fzX+VLq8ohjUspZ2/hqrpO6Wa9sJVz50YmhX/bX/EZoEK06EkeU7cdaz3to7hyQGVffirEt35cuERdpFQu0jqdkYGfWmIp3UAi+VOlbHhSUia8su0sQlX/AHk/+sTWRdRpGnysWYjmotM1J9P1e1umHyo43/7h4b9Kko7syEwqqtnjrWNqMLiRj1Dd63JLUQebGjNsgJC/3WX1qnNHG8bFw5yABtpDOKnjkjcsjEfSpLW7vlyRMxWtC8s3MzxxguBVQW9zbqUEXJPegRej8S3tlznp6HFalp8SJ4xiZHI9+a5e4h8yVQ3B7ilOnbgMAigD0O1+IumTqBNGoPvWlDreg34xmLJ6c815I2mSA8Uw6dMpyE/KgD29DYyJiGbhvQ5qSO1MTk210wXGAGHSvEYrrULQ5SaZMepzWpb+MNbtcfv1cD++lF2FkeurLqcRkKShiR8vPGfpViLXNSglCOH6feHrXmVv8R7tMefaxyf7jYrXtviJYOP38E8X4ZFLnYWO8HjS5huVhdZME4JPatiHxooJVmGQM4rgIPGGhXeF+1Rgt/eFaKXWnXS4jnidSOzU1UQcp1mq+JbXVtEubYSKXdRs+o5rj1UDntU6WNvhDHn5D8uDntigphj2qZyTKiSoRHfSF/8AVzRn8QRx+tUTCxgLjOA2P0rQWZDHGssW4xfcOeg9DUBkYJJH2kbJrNXGUdhNbWkN/oQXurGs4R5FXdMG0yqT74q0xWNFwO1Rk808jkjtUZOCRVABOKY/3T6U7HX1prdBSYFB22X9qezOYz+I/wDrVp1lX37tRN/zxdJP1/8Ar1rDk1SEIDzUmOKAlOI496AKl9ZxXtnJbzDcjjBrAutJTUYxaa3ZnUEiH7m9TiUfUf8A68+ldScNhNpOadb273DsqLGsaZ3SyH5R/jQPQ5XSfDekW03mwW1xNKnKfaBgL+BFdQoPJbk9zVSHVNDe6FtDr1hJcs20RqyjJ9PvGrrK0bsj9aA0Kd/p0N9Cu8Hcjbo3VtrI3qD2qCCXUlCx3DxXO3pJNCN/8/6VrJEXwo6tnGf51xGvfEPQtEvXtILWXU504eTzdsan0GOv4fnQF0dfbCWVzJPJvf8AID6VOwA71yPh3x3pniC5NvFA9nedVhd9yyD/AGT6108koWFnYcKMmkgKVzpto0wnaJfM/hYD5v0qeGI7cujbe2Qf61zXjbxm/hWFbOzCPqtwgd3dciFO3H8vzrzi1+IXiW3uRN/ackvOTHKAVP4U7BzHuOBtpfI3r93cW4A9azNC1yDX9Ihv4l8st8skec7HFU/EviZtF8L3OpW7KZ5Jfs9rn+E85b8OT+VILmlcXmm2Egiu9S0+2kPAjebDVabHlBkdZI2GUdGyrD6ivmx5nmmaR2ZnZssWOSfqa9H+GOszCefRZSWt5EaaEf3HHX86LBc76wbOuSR4HzwZye2DVrWtV0zw/pn23VJCqE4iiQ5eQ9Rx/nHesWe6+zapn/nrF5f5uK8/+Kuqve+Khaf8srKIRgf7R5JqhHTWXxW0qe/KXOkva2zHiRJN236r/hXcq6SeW8bq0cgDK4PBU96+aowWbFeyeFbyc+AgG3b7XzIk9do5H86VgudZ4g8TWPhfw2NYaATSyP5Vjbv912xyzf59BXkg+Kni9tQNwdU3Luz9nMSeX9NuK1vivcPLpfhiNCTB9lZ1/wB4kV51b27yMdvbk+1MR9CaRrdt4g0W31eOPyA5KXEXaOQdcexrK8beLJdF8KJNp7mO61GQxxyd44x3H+e9ZXgC3mi8JaiWJxJcAR/ULzWJ47hmuvBuiXIyRayyW8o/usTx/KgDzsyMZDKzszk5LE5OfXNe3+B/EU2s+FzNdsZLmyfynkY5LrjIJ/lXi0NpJKruoOxe+K9b+H2mzWnhe6aVGUXU2VBGMgDGf50AiD4l+IJ28G6ZbRuwF/K8k2P4lXoPz/lXkcSsXG3rmvTPE2lz6p4MhEal7nR7mRJoxy3lN0bFcVY6ZK7RkDLyHagHOT7UAeq+C7l7r4fIshJa2uGiQn+7jOKoX17OnhHXI0JDrZxgH/ZLnd/Wui0vS/7F8Mw2DHMmfNk9mPasVoxbJFczoz6dcQSWl2FGSq7jh/woA8cSNpGAHU16N8L7aaLVryRR+7+z7X+uaqp8P9QguAbcJd28n+qnRxtZfWvRfDuhQ6FpxiBD3EuDMynjjsKARwXiyOa48GTxjJay1eRph6K6/Ka4CG1dwSFr23U9LeG9u5VtzdWOoRiG9t1bDEDoyf7QrOsPCOkpdJKk88sKHiFoyp47NQA7wrok9t4Au4ZFKyXjNKinsNuBXKeMNPn1Kw0fV4kLD7OLafH/ACzkUnrXsTDcvQDI6DtWG+jS29zM9m6GG4P7+3lXcjH1HoaV7DPKNC8Lz6pqcFvGmQHDSt2VRyc16x4gilhjs9RtYy7WMok8odWToR+VXtO06KxiKRQxwqxyyp3q+V3Aj1ouNI8b1bwbINTe+sP9K066fzIHi+bbnnaR7V2fgzQP7NsrmaVMTzKM/wCyo7fWthdLtrS8ka2Z43c7pI4gSCfUjsa0bZFitpo1yMAnn6UxHMnTZ7xLuazcJd2t0k0JPc46fj0rJfwzYajqElzan+z5JG3T20sedjd9p6EV2Ggr/pOojsGU/TinahqVjpapNfz29nFIfk+0N8zfgKWoEmkabBpmnpbQL8q8sx6uf7xrP1DRHjubm5tlSaG6UC5tJfuPjo4PZq2bO8tr2FJ7WeOaF/uPG2Q1WLyW1stOnu7u48m3hTfLJ6D0HvTAwtI0O0sJTLDaeTKy4LM24gegrZnt4rm3eCaNZIpF2srDg1xOm/EzRLrUlszaXVvFI+1LiWQMPqw7V6FaBA5ZyAxIVc+vr+A5oEc9b6V9idIEvJHjj/1ccmHKD0B61rIoVQB1rzvxp8SL6x1yfTNAkW1gt22SzbQzyP35PYVv+DfFb+IdLmkvtgvbY/vWUYEino2KHuFzavtLiugGNms83VcjlffPamwQpFEVTy2ZeH2OHx9a5X4j+J57Lw1aWdpJsm1IMZnHUReg9O1ee+DtWm0rX4JkZvJkYRTJ/eQ8UAetaZIseoXm/phKi8QeJtL8PzRJf3D+c4ysMKBmx6nPSoIpEj14Qvysk0a/Xqa8d1m7n1PXLy4kYs8kzY9hnpQB73ouqWet2aXVnMHibg54KkdiOxrH8ceJLTw1aQL5K3V5N80cTn5VX1OK5PwA11Z6Pq8gRjFs3KccbsHNYnj+eW/1u0lYfK9nGU/WmB1/hPxxJrl09ldwRRTbd0RiztbHUc960PEniVtH0Ke8hObiR/IgJ5Ct3b8K8/8ABFnMPElk6ZwrFn9lwa1/FsVxe6D0LNbaiwcegZflNIRl6D4y1eDVYjdXklzDI4WRJWyOT1HpXsSkBSAeK8X0LQJ73UoIFQnLBiwHCgHk17OoAUAHgCmA/OKAcKSeKb70F8Ad6YDiQfxoHFGQaTH50ANYA0wjJpWJzQvLe9AE8Nza2EIubyKOa3Xh45GCq3sSalM3w+1Af6T4Uhwf4oQrf+gmoLmx0TUrR7HxAbgWUuP+PfruByM1jyfDP4eTn/QvEl3Zyekp/wAQKBmnP4S+Ft4CDZXlmT/dWQY/nVU/CnwLcHdZeJ7i2PYF14/PFQw/C6dG/wCJP8QYT6LK3/2RqWb4e/Ea3Q+RqmmXyf7Sjn81pAPHwflQbtI8cv7Av/g1RyfDX4i23Nn4kt7kejv/AIisqfw38RbNsy+Gra5x/FAwB/RqYNZ8V6Rlrnwxq9vt6mJ3x/I0CLkvhj4oWv8ArdOsbwD0EZz/ACqjLdeNdObNz4ObK/xwrIP/AEE1Yj+L19ZkJJJqluR2miR/54rWtPjUzgbtRg/7bWrD/wBBNAGAPiLrdl8tzpGsWwH92Z//AGYVZHxelAAM+sg+mEP9K663+L1vMMTPpc4PpIU/9CFWv+Fg6HJ87aPYEnuLiKgDrSTikAp340vHakMYO9OC5zSgUo6dqAAJTiv1/OmjinDGPmNFgFV8cVIGbGOCPekRM9KlWLI5HWgAXeSOm0Vdwxj2kjB7VXW2Xb1PJqykbKuM5NMBiqcYJ49MU2SMAc4I9KmZCVOCufeoHbDDewDdPagCPyEHKEofY0wNtb74kJ6BakJMn3T+lZWuwyxWhkGeFb5l/hrOc1FXRUY3ZLrNu0+kToEcswGBjmvBvGamHVinIIjHFdKwmkfdJfXDIhzgy9f1rL1jTkvHN0HWPjBy+d1crq3eptGFjhxK6QkSDAY8Z61QndPM2hSQeprqJLGzjfe95DnHc1WdLT5tkyv/ALq0udIuzOSnjO8+UGx9KhCzcZhfn0FdFJcRK2VD8f7FRSXkRXmKTHstXGqyHTTMI+ZENzIyj3FO3CVcg81p/a0dTticr71VcwSsWFsVP+ycVqq3dEul2KZII2P07H0qsAYphn/9dXpURydgIx2Jqm3dGHy/yrWMlLYycWi/BcPaSmSI4JXFbsF9HqVkZANjrw6eh9fpXIiV4flb5kPQ1YtrpreRZoT9R6j0NMRsXyFI9y9+DVG1v2tZcSxiRfpV6e4S6tY3j79Qf4T6VnTR5Vu9AHUSanpup28b2pMU8aYlif8AiH94VQmizlhyDWDZt5eZFyk6MGQ54I7iuk82Foo5FICSDpuztPpVXEUrlDcwNJyZoR85/vL2P+fasmVMqeK17idYnZkYBgOtZgnVpAuRj2pDNPwlqP2W9awlb91cH5PRZP8A6/SuplgKq6bUVD0AHSuasdIkuiGgRZG6jHWunAukswbqKRJR8rbh196EBzNzbGFst0zyasXkX2uzS5XJOBHMfcdG/EYq7dxl4QdvX2qnBKIJjFI37mYbXGe3r+FIDJKy26+ZHKysvcVpad461OwISRY7iMf3uD+dVri3eCWWKTnafz96yJogHJHWgR197r0GuONRhiaKeMKksZOdw6Bv6VKzwkB3twXJwduc1ymmXYs76OVhlD8kq+qHrW1NLJZXEiLJl1bG4cgjrmhDO90220DUIFieCNsDqfvfnV+LwbpK3aT2c7RyIcqC24frXlss8sYN5btJHn72DV/SfHmqQ5RxHOq/3lwfzouA/WtEOka5eWzfwtvTjjaeRWJcu4QbW57kV0Oq65F4ohM8dvLb3loAJVY53xk9R9D/ADrnnTDAZ5zTEU3RQu9nyT61Qlh3p3yTXpnhj+yjBtuIIJJDwS4BNbx8H6BqL+b9mWJ+uYjtoBHIWxkl0Kxmlidp1j8l8dyvQ/8AfOPypLOCRpHlnYrCvJDdx6V2V/4Pe00e6NrcNJGoEiqeqlff6Zrn4IMW2+QxqxThXGcUhme0ax2ct/EhIK/dPasGKWa5mk3nPy56dK29UtrtbWASYwc/c+7UF4iWVsJVjVdyj5ehJxQBzd3E6yl1PI9aItUjUhJPlPoavvaTPD5kn8QzjGMVj3GnXUik+Vge45osBrxX8D4HX9auxeRKOJVBPHNcU1rPEfuMDThdXMPCu2PekB3yafNOv7vypPaq8+izAnzNPJ91FcnBr13AR0OPqK2rTxtPEMM0y/8AAtw/WmBI+k2n8ccsZqu+iQn/AFVyFPowxXQWvjC2uVCzGBv99MGtJW0q+BP2eNs94pBSugOHfRLsD5Ckg9iDVd7K9t2z5Uie6ZWu/bRbCTmKSaI/7QqF9BugCbe7SQfWjQZxkOsapa8R3Vwp9zmvVtCu2v8AQbG7c7nki+c+4yD/ACrj59PvY/8AXWqSD1210vhST/iWSQGLyvJk4XHY81DSGmbao7thFJx1+lI8TK5Vxhh1BqUqVh3AkBzjj2pZG3uDwMgVFmVciCZXipLT5bnB6NTM7W96A4WVHHrVITNQnFRP9M1IPmxUEjnzAFGfX2rQQ40djQxwM9qXgqahgUryLzkeL++pX9KtWM3nWcEnUsgz/WoJTtAb0pNM/dwyw5/1UzY+h+b+tNAaOc0tNHBpQaoQ17n7IoI/1kjCNPqe9ecfFfxPPDcx+GrJvJt4o1a48s/fJ5CH2A5+prstauPs0mnzH7iXcYb2BOP615N8TIJIvHuoM/Il2SKfUFRTEcortuFe2/D7XrnWfDksF27y3FiwUSt/FGRx+XSvFYYS7Y/OvWfhdpstvpeo3bEiOd1iT0O3qf1pAbniDXZLPw7r1xGSHt1S3jI/hLd/1rwUkk/Wvb9X0/7X/bOkbgG1GBZoS399OCP5V439imiuWgmjMcqMQ6sMbaYBZPLb3Uc8TFXjYMGB717xqF432O1mPyxySxbvoSK8t8MeHf7Y1RImV1tU+aWTH6fjXq2o2H2zS5rUMV3D5D/dPY/ypDWx5B8RZJpPHOpecSSrhVz/AHdoxXNRRb2xXpPiTQJfFG3U7QBdRhUQ3lq3DkrxvHtVDSPA+oXEqo9s1umfmlmGAP8AGgR0nw6hkg8N3TMGCSXHy574XBxWT4tjlu/AMLBsmx1GSOVf97OD+v616FpmnwWNjHaW2fJi4U/3j3NZOo6ebW5upUtlurK7TbeWp/iPZ1/2h+tGwHiMNsxkCc59u1ei/D/STHqz3xH7q3iI3f7TcAfzrStPCeibg0V1KkJ6pIvz/nXW2VrBa2q29rF5UC8he7H1J9aYGBrcE00jiAZmEBZB/tKQa5L4gaV9vuLbxHYoZLW7iUTFf+Wco4w3+e1egbQdXtvdHH6UJpUtrcyy2DrGs3MsLrujf3I7H3ouB5BpOkS3F3FFFD58zEYiUZzXs9tYJb6almFXlSX29Cx6/wCfap7S18lTtgt4S33vJj25qxtCNQ2Oxxt7oS6zo0Xhu6nEF/ZyF9Nnl4WZT1jz6/8A1qzdO+HmsRTGGW1ECg/PcSMMD/GvQp7OG5QiWNSvfcOlEVmVUYiuCi/3s4/WhMQ23sbexsYrC1B8iMdT/Gx6tWBeaa0LXkEtqbvTL3meEffVv76V04qRLYy9sk9B/X6UhnG2Xg/TIpA6yyyW2QwgaPBz7n1rqkVQioqBI1GFReiiqFzrmh2F99iutbs47n+KMDhD6M3rWg5AX5GDKwyrKcgj1ouBmXGnSR3xvrKUw3GzYcDKyD0Yd6ltbYRP5v2G0hmPBkii2n8KvvLBZWM9zeSiKKGPfJIf4favNZvisgvsWujRfZN3WRyJGHrxxQB6HcDMBHeq2mQrLpIRlz87jH/AjSWmp22raPHf2hJhl6A9VPdT70zTLiJYFjm/1SmWaTn+FT0oAmtrOOLH2W2fyj/FGMKf8a0R8uF24xXhXijxrqXiDU3kS4lt7RTiGGN9oA9Tjqa674b+Kr2+nfSb+Zpwse+3kblhjqpPeiwXPRXyxVQu9mOAucZ/HsKwZdf0KwvWt7zW7RLjdh0RTtQ+5qj4j8QS6foeuXUDlZlMdnEQfuE8kj/PavESSzFiSSe5osB9ORkOqMCGDLlSvRh61n6/q9loOiSajfs7RbvLhhjOGnbvz2HX8jXHfDvVLg+GNQilYv8AYzmInsCp4/MVzfj++lu7Hw6pJ8s2XmY9WJ5NFgub+j/FKGbUlhvdOS3tpG2iSJySn1z1r0nzRFt+ZQ7MFQ9QSehr5mhiY/NzgV7fHcy22j+HHmJP72JXLenNFgucv8QfG11FqsujaNO1vbwfLLJEcPI/fmpPh/4wvbq6bStTuGm8xD5EknLbv7pPeuF1u2lHibUo3B3/AGqTP/fRrqvBnh6c65BKykLApmckdh0piO60+9EWoTQf89p41b3AUsa8e8U63PrviC7u53LL5hWNSc7VB4Ar0y6k+y6kL1v9XDdReZ7KwKn+dee6n4dfTtcu7efiJJCY2x/rFPQigDoPhbqksOoT2BJaGZfMx/dcd60viBqlxN4NgjWQ7ZtRkVwPRBwP5flVrwBoggSTUpIdm/8AdwDb1Xu39Kk1XR01CO90KUiKR5vtli7/AHWb+JP50wPJIrdnYcce1e72l9Oll4ceRiDLGitn12YFcbpHgm8ubxYrq2NtbRn947/xD0HvXoOraZ9u00W8LeS8W1oGH8BX7tAHg9xZzyatdJID5qzPvz2O6vQvAOkTR2uqzchWjEC+55NXptFtdUvpJ7mCWyvmP78IuUkb+8prrNNtIbS1jggQxxR9B6+59TQB5h4tsZtQ0TQLxFLGON7Wb/pm4PeovC3htrzVIkHMMZEkrY+6o/8Ar8V6LcaEFup5rVlEdwc3FvKu+N/fH8J9xVuztI7VPLiijjQ84jGMmgDnrtJftk97DGXe1aOfyx/EAeR+RrkbzwhK2oPfacPtdlcsZI2j5255wa9E0wA6tdjrmIf+hU9tNhS+Z7a0cZ5dovlTPv2NAFLw7oh0/SDbTcmXLOOy5HSub1Pw19qMNneLJG9rlLe5ClkePOQrY6EV6IgAG3aVx2xVe6aGJJ7i7uYbS0g/1k03r6CgDE8NaFHpdq4R1kZ/vOF/Sk1LRpRdS3FsqyLMgSe3YcS46Yx0NaGja3pOtpN/Zl2ZjD99HTYwH94DuKtapcWlhplxeXkrLBCu59nVvRaAMnR9JjsV3Jatb+ZywZst9PpW13HHFefab8S4LnUlt59NENrIwRJEk+dcnGWrv164/WgBSc0wjHPapMU09KYhFf5aXd17UhxTDigBSc06NcsKi6mrKLtHHJoGVdV8Naf4jiiS68THR7iFiUUfxZ7k1np8MNd5OmeOrK6HZZG//XV3UvA/iHWroX+k+JdNiR0UC0kOSn196x7vwb8SNOy4tNP1BR3hAz+mKQia48DfEqyH7uHTb5R0KbM/0qkYPiDpnzT+FrvaOrW0jf0JqodX8ZaQx+1+G9Sj29WgaQD+tWIfi1qVmAsx1a3IPO/D/wA6AHj4ga/pZ/0qw1u2x6uSP/HhV+2+Nkytte+lA9Li1DfyNT2nxmMw2S38BHTF1aj+hrVj8c6NqS4u9M8P3ueuNqH9aAIovi3ZXIH2htHnHpLEyfzFTr4q8H6muLnw3pM7HvE8f9RVaeDwHqB/0nwf5ef47WQf+y1UbwR8M7vOBqtgx9ZDgfnmgC/Lovw51AbpfDd3bk/xQMcD/vk1WPgf4Xk5+0aon+zvfj9Kr/8ACpvDk+DpXjWSFj0WRh/iKT/hT+tjiLx1Ds/h+Zv/AIqi4Hq5IHajPtRwaUAUhig0oPtTCc5xShueTQA/vS5B9aZv7U4SAUwJ0LE96nQuvJPFVRMARin+fKJBgDafU80AXY3cYAByf0qyG4JxzVSOdzuOB6CrED71OTyO1AA8qgYNZOttu06TYcOoLD2461buhJk4cYrB1NHlhKGVwW4LDg4+tTJXQ09Tg7u+1WZFP9p3Qz6SkfpWZeHVLgBHvbh48YI85v8AGurj8M2XPmXl2p7HeMULoVrCxZXlY/7b5rj9lJ9To9pE5W3iLptkO1h6DriidFC8ImPpXSSaLZly7IWYnqWNQvpFn3hB+tP2L7h7ZHCanpH2ry2VlV81EmmpHGEeQZHB+bFd2+k2fB8gcdMCqz6VZnJ8lQfUCr9j5i9t5HCS2EA485f++qy7i2to2wZFJ9K9El0u3H/LMYrPudGgbpH+tCoeYvanmbKse7H3fpUQuYQSG/lXdXOhoScJ+tYt1oSZOVUGq9kL2pzDTxKxxnn2qtJKGYZGQK1bnSfKJKNuHpiqDQBScgqaahYTncqEdhyvcGosvE2Vzj0q6YgO1BT5ema05iLEVve+S+V7/eU9DWiJYp03xHp1B6isx7VXJ2naajzPatux+Ip3uKxfkTcOaZbTNasULM0LfeTt9frSRXaXAx91/SkYYzxTEaLp5xJ3Bww4PrWeYWhlbKFhipYbz7MrbgSh6+o9xVr5XjDhgyt0amBSstSvLO5DwTtHzxiurh8d3TWxs9VtRcQkY81OHHvXHzptnI461aeVFRN6n5eOKAOvuLmGOyinDeZFJjY46sKoPDb3jecgYtHxkjFRaTNb3Ft9m81MZ3IrHHPpWqSoxFn5wOh60gKU0BuYA+4iW3X5v9qP/wCtWHJ82WAG2ugctGCY2KtjG4VloV3hJuB6gcUBYyXXbJkKPeui0+eK/wBN8qVAZrbCn1aPt+R4qzY6H9ubdbPCx/utVo6RdafOJ3s2G3higyCO4oAqAQtaybE2D+IMOtYrwpb5eMjy/ata/BMggGEQ/Mv+0KpyQReW0IlBcfeX0oAbY3kcEy3D8w/cmT+8h6j/AD6Uy8t2trpoWbOw5U/3lPQ/iKrqgMOzpzn61cZRd6SpDbrizHzHP3oieP8AvkmhAZ3mTxuZYpWjZfStrTvHOqadHskWO4jbru61j4IiORiqMhwu33pNAeo6Z8TdOH7u8SaAMME43riqc8Fu0xubC8WS2lBMJB6juOfevNjhhzjNdF4buBc2culyvsKHz4OP++1/Ln8KAOj+zXtzbSeYzDZgBCev0q7a+GbbVolkubyQyEY69KltsxQJCCzbV+8elYVxqdzot4YVHmxSHKnptp3A6Z/A0xiVbW8EgX/nqvWmy6BfxKA1mJAOrR81TsfHNtCFjuGliz3xkV1en+K7a5UBLiGX23UcwWOS/sW2aU+dbsjejLimT+E7GZDtVc+lejJqlpKMSwjafTkUhs9Gu+V2RsfQ4NO9wPI7jwCjDKgg+1Y1z4Guos7M4969zbw2wX/Rbkn/AHuaqS6TqULH9zHKo/u0CPAZ/DOoQ5Pkkj2qi1re2z/dkUj0yK+hJY4AcXdkyn3Sqkui6LfjAwhosM8Og1zVbTHl3UoA7E1qQeNr9WUzxRTEdyuDXpVz8O7G5B8loie3auc1D4X3MR/doW/3OanlQXM+28ewNxNBJF/uNkfrXTeHvEdlql2baGbMjIWClcHiuFu/BV/bn7h49qZodpe6J4hsrpo32pKA5x/CeDS5B3PYxIfLdB908/j60xjnb7ClK7SQKPxqBjSST1ph79cipCM03HJ96oDTtmMiK/Yio7S1a2Vw8nmZb5T7f403T5CIyh4KnFWTxTEIwAUVGBg088ioz1pDGOoYEGq1uSuoOD0liDfivB/SrTn5c1RnPlTwSZAEcwB+jfKf6UAaqmnVEPen5qhFa/tEvbWS3kHyuMfT3rl9a0O38Q20FtrUhtdRg+WLUFT5Jk7BvQ+3HtXYE8c9KaUBFMR59p/w22Tg3Oo2/wBnz/yx+ZmFegWdtFaW0dvAgjgjG1FpUhjU5CjNTL0oGZ+qael/EBueOVTmOVDhkPqKw5NKMkh+36ZBeSr92cNtLD6f/XrrSp2FgCew9yegrC1vXdJ8PbRqt8wuHXctvbrubFIC3ZWaQxqkcMcEa8iKPpmrp/SsPRPFeia/P9nsLmVLnHEVwMF/pW6rKcF/lHc+lSMoXOmW00q3LZjlQYEqHawH1p8McIzvnkl9PMNUfFHim08NaTFeNCJrqf8A49oGPH1P9fwFeYH4leJDdmU3URjJ/wBT5K7Pp6/rTsK57QCu3A6dMUwqGXOMg8fU+lYnhjxDF4h0g3SII5Y28uaIHhW7Ee1T6jryaPompapsEgswsMSdmkcd/wAx+GaEBpSJFbkfbbqxsx2M8oBqz5BWBZVeOaFvuyxOGU/jXzbqGo3Op3sl3eTNNM5yzt/niu4+F2u3Fp4gi0eRy1jft5ZjJ4WT+Fh707BdnoQUtrdkF5Zt6j8q1NR1HTtE0l9R1GR0t0OMLw0rdOP89vSuc1e8fTrpLhP9ZEsuPrtIrkPi1fyPfaZp4Y+TFarLt7Fm/wDrCmBpR/Fmx+2LGdEaO2z/AKxZsvj1x0rvLe6t9QtYLy0lElvMu6N/b+hr5tiUlxjqO1exeATMnha7jJOxJd0QPbK8/rSsB1eseJLbw74cn1dkWV1byrWNujyev8/wFeLXHjzxRd3v2ptau0fOVWNyqqPQKOK6fx3LJc+ANCkXJUXUokA7Nj/61ee21s0jYAzTsI9u8H+JW8R6KZrkIt5btsn28Bx2el8XeJ5tM8FXd3ZvsmnmFpC46qOckf8Aj351hfDqxkg0/UJypEcm2Nfcjk1F4ns5b/wLe28SlpdNvzK69/LYdcfjQG55Tkk5OS3rXr3w01C4fQ7m0n3FbVw0JbsrZyo9s15dbWDyHceF7e9et+AtJlsNCmmmTa13IGQY/gHf8SaLAZfjzV5pfBUYRiBc37rKPUL2/l+VeXxRtI2O5r1nVtFGpWV7oJKpceb9ssWfhZD/ABLXM6b4K1J5hG1nKrbtpdhtVfx9KAOm+HvnR6BexOD5ImDJ9cc1O7yvHf2kZ/eSWVyIx6nPP6Vv2Olw6RpK2cDbgvzO5/iY9fwrM+xzyxC7tCBdW1y5j3DhgcZU+xoA8RiheRsKtegfDjSJ/wC3muwp8qCEhmI7twMVunwjpl/eSTx/aLCSRt0kBi3BT32t0rstPtls9Pt7KEYt4R8vqx/vH3pAcL4i02W8tde05ATN+7voVH/LTHDAVwFjpLPhnQ89BivctQ0wXckU0cjQ3ELbo5U6r68dx7VDb6ekd20z2tos2f8AWpHgn39qdx2M3wjoLaXoMsU6BZLo7mTuq44B965vU/Dr6rZRaVuCahpzOIAxwJ4GPY+or0pFC8cmq95YW10oe4iVwrfL8uTn275+lFwsed6L4EmkvUa9heG3Q5YMRlvYCvQdX0tNT0p7XPl7h8jKPuEdMfSrtta+THu8mRRjrJ1qcAMQvGTRcLHBXHh+PUrwT6hC1rqGAkssSb4pgON3sfrXVaTplvp9k8UCnDcu7D5n9PwFLrGp2Gj2gu9Qultrdj8h2bnk/wB1aj0fxDpevwSPpt35vl/fRl2Ovvt9KBFOwtoryfULeZFdJIkDKehp8WiNAqQTPHc28Z/c/aVBaMegbvTNNuUtdQu5JOnlJx/eOTgVjeNfHCeHrsWNlbwXOpBczyzDKxZ6KBQB20cKxqBnP0qve2FreQbLlA654BHOfaua8F+NP+EjWW2u44oL2IZHl8LInfjsRWh4p8Rpo3h+9voGR7oEW8ORnax5J/z6UDNW3gSDahD/AC/d3tn+tX0Tf+AyT7V822+s6lHqq363kxu92TIzEk/Wvd9M10XOl6dc9DeNGpHoe4/MUCGa9rWneHzG2qXYgZyTHDHHvkYe47Vc0rU7PWLJLuwnEsDHGcYKn0I7GvEfGGozat4v1KaRi+JmjTPZVOMV1Hw0muILm/t/m8t4PMx6MDx/OmFz0TX9XsNC0GbUb1BJGh2QwhsefJ6fSuO8N/Ej+1dWisL+wtLSGZtkckGV8s9s56is34hzS3Hhfw3uOUczMT6tmuP0ixllv7WONSZnlULj1zQB7BBN9n1m5Ry0bMgQFeoO/tXn3xC8ZXep6tJplpPJFYWp8sqjY8xh1J9a7PWZvJ12W5z+7t3jd/oHANeaa3oVzB4jvkkQgNM0kbf3lY5BoA7L4deIbq4sbm2upHlW1AeJnOSB/drP+JmryXMGjWMTkQNB9pYf3mLYBP05rX8C6AltptzOc7512DK9u9ZmtaDNq1taIik3mmhraaFfvMm7KOPWhAYPgOae28XWBj6Sv5bAd1PWuo8cXcsvhi5jDN8uoBG+m3j+Qqz4J8MzWV0b+8iMbKCIUYck+tXNf00pJd+bFJLZXYXzPLXc0Uinh8dxQI8ntbGUlWAwxIxxXvlkHW0hD/fCLn8q5XRPDMKTrPMRMF+4u3Az6muyC4A9qFuADpSHpT+wpj/dpgR9qY/PFSNjbUXbNACAVet4/NdET5mchQPWqQ9ajvDqI025OmWct5dKmUii6n3pDKF54S+JNnPK40vTryMuSoUqSBnjng1SbVvHGjt/pXha8jA/itpZBUKeO/FWlDZeWOtWm33LD/x4VpWnxquoCFmvJgfS4tc/qtAiGL4r6laEC7/tu1x18yMSD9RWlF8XNLul2Xc1nOD1F5Zbf5Veg+LtlfqEu4NJuQf77bP/AEKrB1fwNqv/AB/+F7Vs/wAUGxv5YoAzBrngrV2zcaD4enJ7xSeW360kvhb4eaiM/wBiXdpn+KzuA4/LNWZ/DHwt1D/l0ubEnuAwH9ap/wDCo/CNz8+leLJbd+wZx/8AWpoCm3w08Hsc2fiPV7FvSWE/4U5fhtqSr/xKPH8Ei/wrM5X+Zq2fhR4pt1/4lHjMTJ2DSH/69U5/BfxQsjk/Y79R3bYc0ARv4D+I8BJhuNL1FP8Arohz+YFVzofxGjOw+F7diO64wf8Ax6mvceN9KybrwkTt6vAGX/0E0n/CxPEMXyHQ9WUrxj7RJx+lID2jfnvSZJbrTsdeRmkxg80hi5oB4xik60UwH9BTgM9Kjzxx1oG7nHFAEoyKnG7AOaq7iDjv6VMrFvlKimIsIACMt71ctdoZsNndzVBVYsMYqWIuvAbjPWgC9P5SoS52+9Z17bRTxbSyhh6VZnDyR9c+1VrkHcBnaVXFAGM9iI2xINvvmo7ixJXKh2961kbClSQQetVZo4SpwxU9OtJodzAZW6EGoyuK03QL/DxVOVTzxxU2GUyXxgMQKqvESTV1kpmzJ60kBnvCRVd4D/8AqrVaIt1PFQvEfXigDHktNwO7rVCbTUbJIGK6GSHJ6/jVZ7ZfegDk7vRYnBwvNYl1oyDOY8j1xXey245qjPZK3/6qYXPN7nSQhPlnB9KzpIWRvmTHvXo9xp0ZGdn6VlS6fGjHfEXTHQHFS0BxBU+m6gKOmBWzd6eQ52KQPWsyW3mj/hBpWKuVHsYpTkZQ/wCzTfKuY+HQyr/eXrUu6VSeB+dSq5yM8fRqXM4jSTKn3gewp0FyYDtHMZ6j+oq2djLh8EVVls/4oXyP7ppxqIlwZM0UbHzFO4HvTXHFVY5JYXIxgd1PerIdJFyvUdvStLk7ERXJ5610WkamGQ29w2ZMfI/dvauePU0gcqQQeR39KAOonvYz8p4+vpWdJdQs4QJtXtTIL77Yio8SGZe398Us9nJCqygZB7f3aADdPBcKbeR429jW3YeOtVsW8u5gW6jzjJ4auahlIuRuPJqzM8aN852kng0gO4m1vQ9dgjaNkhvY/uROMFvasAW8EtzJOhYHfjmqlppceobRHNGH/hJrY1TRtU02FL2aMlBxIV5X/e9qYGVNb5nbc2UZeF/u1Wh3W19HLEgcL99TxuXoQf5VoTI0sCGH92fvFe9VogzAyOmxzwFNAFXU7cWtxhGVoWG6Jh/Ev+eKypEyN1babJLKS0mwHU74z/dPcfQ1EdMkkj4GQD2ouBgbCrnnNWLS6lsryG6hP7yJwy1oDR8ud8mxvdaV9GcDKMJB7UhnYx3dvdiOA5ME6iSJwcdf4fwOR+FU9Rt5J7zzUmBttvNVvDJ8qQWdznchMltnqD/Ev9fwrQaWW8upklh2xL9wlaYjm3WN+VIZc8Go5YMujoAuP4hwa0bu1lF2xDfudvyqB0qkJAONwOHxUjHR65q1iP3N5KAvZjuH61qQ/EG9g2pc2cM+e6naayL2MbGIrNdR9qw/AI4pWA9O0/4habLGu+5ltH9JRx+ddZYeK2uY1a3vIbiP2YGvD1sUdTikXTmVt8TsjeqnFGoH0MutwSELPbov+1inG20W+5yqMfwxXg9trPiHTseTeySKP4Zv3g/Wti2+IF5Fj7dpwcjq0LbT+RpqUgsj1t/DakZtbo+21s1UfT9YsjlN0gH4Vxll8QNNkIBu5bVvSZcfrXWWHi5p1Hk3kVwv+y2afOgsIb6ZCRfWu7J/iTOKjaHQr/iWFYm/2eK108QW8x23Nqv4CnFNBvevyMfWqTTJOfmRI5nRH3opwreoqFucY61p6lp0Fi0f2eUSQyA4wc4IrPKc1k9yhq8qDRjBoC44NLjFAySzbEzj2q6Tlaz4z5cyN+dX+AD600IP5Uw/e4p2Rmo3ADbqBjSaqXVstyrREAlgdpPY9j+lWj1qOXIUMOo6Uhk1vL51tFJ/eUE/Wnn24qtabYxNCG+6+9R/stz/ADJqwKtEsdn8qd1FMpwJpgPByKeDgVHmlzkUgK0+p/Y5LmfI22Vm8+D3b/Ir54vr+41O/nvbqQyTzuXdj3Ne36ivmX15ZE4GoWEkMZ/2x2/WvEfsU0Vw0EsbCZGKsh6gjg0xBavNHOskLskiHcrKeVI717nf6g9x4W+3YKPLaJIx9yMNXk+l6HPdTJbxRs08vAX+deyXOnwyaP8A2dtIjFsIPfgYpNDPKPiZcPN4jgQnMcdpHs/HmuOVGYgDvXomveHr3XbeOSKPdqdgnk3Fv/E6D7rr6isKy8NXkjiMW0plb+HZimJnRfDNJojf9djImfrn/wDXV3xGktx4J1+3QOz2+oRzuAP4CBz/AJ9K6Hwxo0ek6cE3bpX5kPbP/wBapbu0ltL1723gFxDNEYbu1/56p2x/tDn60uoHhMNs0rBVGWY/druPh9pUlx4psZBGfLtmM0kmOAFH+Nb8XgnRnYvY6g8KZ/1VxCS611umWFrpNu0FiHZWHzyyfef/AAHtVAYuvQm6kVO8nmD81Ncr4wsW8RaHp2tWatLNaR/ZL2NVyyMvc/5713E4zqNkBnPn4/Q1GmizWl411Y3PlysgRlCfJIPRl6H69am4zyfSNHkmuI4ooGuJ5DgRIMmvZNI0mPSNKislYSSY3Svn7zn/AA6fhT7RLhGO9LaMt18mPaavhcD3p3Cxy13Z2ixXuiaqfJ0y8bzbe46CCb0z2z61lWvw5mtpcPcwfZuomHJYfSu5ns4ryNo5U3Rn71LZeH/sluvkWJijz8oZgC30pXYWI7K1htrRLa2TZBGPl9/eqVzYyw3v2+zKiXZ5ckbjKSp6N/jWsY3iJR0KMOoNTQWrzMAuNzZwD/P6UAcra6NpvnCT+w1jkU/caTMY+g/+tXRhTjnn6dq57WPHfhfR782T3F5ezR/LK9oFCIfTrz/nmtyzvrLVLCK/0y5FxayHbnGGRv7rDsaAIrnT4L4IskYYhty+oPqD2pYYSpGZpJAO7Hd+tWrm7tdN0+e8un2xQJ5kp6j2H+fUV5DefFTXJr55LMw29tu+SExK3HuTz+WKAuesTj9wQKp6Vhba6ZyAv2g5Pp0rN8OeJE8R6O07qkd3H8s0adPZh7GrOmahFbTSQyLkebJO3/AFH9SPypiLt7eWmloJdRuoLJHOE877zfr/AI1YtL23u4RNbTxzxN0eNsivn/xBrVxr2s3F9OzEMx8tC2didhW/8OtSns/E0NsrHybv93Iv6g/nSsO57ckaiMneFJz8390Dv/KvMNY+J0Vtqssel6dBPAjYM0rHdJ6kVt+JdVmi0XxF5bkPFBHGMcY3HB/nXiyRs7AAUwZ9A+HtftvEOmLeW4KMPlliJ5jb/CqnizxP/YHh6TULQoby4lNvalv4FH3mHv1/SuS+GaSJ/aQUkoYhz/tVn+MEmufCuiTclIZbiGX/AGZN2f5fyoEc7Z+KNbtdRW9TUrppt2WLyFg31Fe1nXUvNBtL+AeX9r2JgH7rE4IFeGWthKSuOHc8cV69d6Vc6T4LtoNha4syJmQDnIbdinYDzv4i6rLqXi65jZj5Nr+4iTPAx1qt4OurnT/ElhNCWXfKsbAfxKxwRWn4v0Nz4gfUIlMljfAXEcq9DkcitjwV4Yaa+j1G5Rkt4Tujz/G47fhSswOgnm8jXoYyfka5hQ5/3jXlfiPzbnxTqbzA+a11JkfjXql3pz6jc3SRPsuFRZomPZ1fIrF1Hwymvak+o20kdtezc3VpPwY5O+PUU0Bj+ALCVfEtvIgO2JWMv0wRWl4wtXl8P38ag/6LfiZx/ssuM/Su08OaDDotjsT57iXmeX+9/sj0FJqekyNdm+tRGzyL5c8Un3Jk9D6HrzQB5BpmkNcFQiFpG7CvVLjTpdL8L2YhXfLYvHK2O+Dlv5mn6P4es7Kc3MNg9tJno8m8L7rXQuA8RTblcYoA8q1nwznW7m/hzLZ3b+dC6DIw3P8APNdp4S0QaVpkjTLi5uGGc9UQdB+Oau2elpa3LRWbzfMdxt4xuUfh0FawjMR2MrA99w5pgcbqOlwzRT6NqR8q0EhuLC7xkQueqt6CrPhnwtb6TdC/kuku5gP3IjGFU/3q6a5tn8h5GSMjrmQ8KPU1jaZ4i0i8u/sdrqdrPcZ/1cYYZ+meD+FK7ERx20V1q91BModJIGDA9/mpi6LIClvciO+t4+Immiy6L/dz3FXbDYPEExdvlWFyf++qwPHHi2HQZUs7eJLm9Ybm8z7kY+lAzr7aBLeJUQAADGAMYqre2NtLMlw8DGWMHY8eQ+O/IxxWB4L8V/25C8VwFSaL7208EeoqD4jeLGstKtrPTZDHLeEu7r1VR0AoEdVbbQowW3H+91qWeM+SX+UDrlug968X8I61fWutwp50kkUzhHVmz17123jjXJl8O3kMTFSzpAx/2SP/ANdMC5Y+KdLmvjaR6jHJMWwMqVDH2PSunTke1fO9rFIJFdMgggg17/pkrzafBLIMOyAnP0pAWzTH5p+OaaeWx3pgRP0qEg49qmfk9ajxk0AIPu1ka14pufC81tJai7UzBg8tv/CBjrxWueKy4vinFol5Ppe+3aGKTDCaDeM9/mFAx9h8ZZdoWfUwwP8ADd239RV//hYGhas2LzStAvs9xhW/Wm/8Jx4Q1ddt9oOjXJPUxFUY/mKY+ifDTVfmfRLy0J/it5cj+dIRO1j8PdUUfafC7Wpb/lpauT/Kqcvw3+Hl2xay8QXlhJ1Aft+YqN/hv4NuDnSvFl3Yv2Wbt/KgfC7xMin+yPGNneL1CSNz+uaYDj8JrjbnQvHCSnsjtj/2asy68C/ErTmzHHFqCjupRs/1qW58I/ErTsk6ZZ3yj+KLbk/yNVBrni/RTm88O6rbY6tC8mP60gK0tx420g5uvDFzGB/FEjr/ACzTrf4parYsEnOp2pHUebuH5EVo23xkvIG8uS6vYSOq3ESyVswfFiwvFxePpFyD1E9uUJ/SgZBY/GKTALawuf7tzb/1Faq/GIbRk6Q5/vbiM/rVY6r4I1n/AI+fDFhKx/jtJVH8uaj/AOEX+HD/ADHQNTUnsshwP1oEekDJpTVZZDjvTvNPegZMSo9aMioy2QKAQeeMUASgg96UYz61HvQD5mUUolTs35UATj025qVA3bkVVW4XdjEh/wCAGp1k5GInb3JApiLSR/MDn8qkELE7st19KrDfuyE2n/fqyZJpIxjYmOOpNAFlIsqc55FMMG6EhueeKjiS5U7jcx7e/FE42EbrkAHstAED26sSMlfrVSa12gZyPwqzJsJB89yfQ1WkZSCr+YR6ZpgU3iwapTxqO49etX5IcDcFBFVJB2KipGZrso/iFRsVx1yatyJ6AVAwJqQKzMPRvyqI5b+BqssmDSHA4IoAqlOD8n61EyE/wirpxx6VCdopAUnjY/3RVaSIjPT8q0yQcZqJ9vNMDIlgBHIqjNasegxW67J6c1XcZHSgDlbnT3bPXNZFzpLHPU/jXbSrn+His6W3c8heaLAcHc6SwPArNlieBsMld7dWMkhLbeay5NIaQkHd+VTJaFJnJiVeh4PvTxKQR81aV3o0wYlEIx61mS2s0HLrxWfL1KUgkmMihW2sPdarGJcnb8pp4Az0qVCq4yKFdA9SDy5D1XPutRurKSCMfWtaJbbarPNtDcYp0q2u5ow6SL61amxcphhirAg4I7itm21L7XCbeUqkxGA3Zv8A69UZ7LHMJ3D071RY7SA2QfQ1d0yWjRlt2gkDSdj271fYCWMHbwexrLivVfCz8kDh/wDGtnKMgIIK0CKyqVOUJQ+xrWt/FerWMX2Zyt1bMMPFKM5FZZ4z6VHIej9dtAzXt5Unk86FCI3+9vbLKfSo70zKUWNN4PDGq2m3sCzEFym7hg3cVrXQAAVJVy/3GHOaLiMu6tjIAysUZehpbTULqzIziQD2q1KfLjJfkAcmqYKzKHQ/L9KQHS2ninSbpRFqMCITxkitEaNo9+nmWNxg/wDTN815/NbwtMoYjPtTks5oX32s8kTDoUNIZ2dz4d1GF1ktnSYxncvY1HdmWBrdpofs0UmSd56P3H9R9fasyy8V61pwCzxJdxj14ath/Feja1YtaX4ktpG+6XX7reuaHJhYz5sP0GQ3Rqxr6zD4AG0bsnFdDcRwWUaRyOgCjCnOfxFZbIoRdswmIPJzVbi2My7+WMAjvWfeW7EF95z71r30eIW9V5qjendCmw4LUDM1b+4tQAXVvartr4hQHEyHFU30zIJHJ9arvprjP9aVhHZWmoaZdgBpUBrah8P2Wowhra62v6NzXlbWkqHIB/Cp7bUr+xcNFPIuO2aNQO8vfBt8gJRI5fZeDWDPo91ZPlreeBh/EuR/KrVh8StTttq3MMdwgGPm610ll8QtFvsC7he3Y9eNwqbvqivQ5q01vWLEjyb9nGPuzDdWvbeOL+Eqbuxjlx1aFtp/I10P2Xw7ranyZrZiehGENZ914GQrvtblh7EZFCcQ1LVh4ysL+eG3LTQyu3yRyjv9a6E5OCOledy+GdTspUlEIlEbBgUPPFehwTLdQJNtKb1yVP8AD7UmCDpg0oOaUrx7UDgUDGsMqTjgVfQ7kVsckVUqa2OUK5+6f0poRJ2PrUZ5zUr1E3BNDAaeopGBwfSnEUoHyUAVYlVLiGYtycwt9Dyv68VaJw3tVWSLeXTPLj5fZuo/WrKSieJJwu0SDdj0poCQHilBpgOKcKoQ7NOFMNL1AoAo6ppwv4AoYpIjB45F6qw6Vj3OjWd9KZdR04/a2GGubV9ok98V1CL5jYUZpbtYLG2Nze3lvZ2wGfMlOD/n26+1MDM0rTLTTYWSzgMe/wC+8nzMfxrS2jp2rM0/xBompTeRp+rw3E3/ADzYbC30z1rUx9evQCkBRu9Lt7qRJHQrKn3JY22uPbI7UkdvEHJ80sfds1cvNW0zRdJn1W/cPbQHCxjrLJ6e/wDk15jdfGXXHuM2lpZQWoPyQ+Xu49zTsI9N2bQu0ZFLhUVmY8Vk+GfFVr4t017iOEW15BgXEIbj2ZfatFdQhtZLu6mI8mwgaaQHucHH+fekMkNr9nh+0XX2exgJ+/cybanNvus1uIZYbiBv+WsD71/MV87674gvvEGpy3l9Kzl2JWPcdqD0Arf+HHiKTRPE1tG8z/YLp/JuIi3y88BseooA9PuBt1Ky/wCvgf1q5c39jZWd1e38hjs7fhnzzIf7q/jxVDXWNlfRn/nlccfhmuJ+I97NH4f0CzBwlxGbmQDu3b+ZoEWJfi8VutlroVuLHP3JHPmEf7w4rutK1i017TYtQsMiKQ4eNvvRN/dNfOyKxIx1r1b4YCWLT9VRgRGTGw9N3zUMZ2+qeIYdA8P32qBUkNviKBT/ABSn/P5ZrwLUNe1TVb97y8vp5JmbOS5+X2HoK9C8WCaf4ezqoYm31T97x0BBx/MV5nb27TOFANMR7D8PPElzrOlXFhfuZbixQSRyvyzR9CCe+D/OtPxH4insvBuuXlsQsiulnGf7oPX/ANCNc58MbN4U1O4dCEEQhVsdSe36Vfv9Ok1PSvEOgp/x9Ssl9ag/x7fvKPy/WgDxnln9q9M+FNxcR3WoWTEiCa384r6MpGD+tcVa6W5ciVGRhxhhg/iK9Y8D+HX0jTZ724XE12oSJWGCI+pPtk/yoAyPGF9c3Hg7UlUni/VH/wB3t/SvLoLV5GwBmvZtVsYknvra83Lp+pIEeRR/qZB0c+3vWRZ+BJIWUfaITCTky7shvwFAWZB8O9Nmt0vrkhhEyCP6tnP8hWuVUasDI+2KZ5rUt7yINv6iuktrKGw01ba3BEUY79WPdjWdDp8OpW2oW8w4aVeR1U7eo96APFpNJuba+ltZomWSFyrgjuK7rwHoLvqaX8iFIrflTj7z9gP51140kXLImpWcNzJGMC5GVZx/tD1rcgiSJEREVI1GFRRgCi4WOY1yzRL66S54sdSg+zyy44iYfcY+2a4uDwNqkE/km0eQ5/1qkbCPXdXrctv9oyjqGVuoIzVeGyjibZBHMUHaNTsFK7GUfDWhQ6LYtAjB5GO6VwMAn0HsKq3ujJG91BJaG7028kEssSnDxS/30/wrpFIDbduOKVgwwQoOf7x4HvTAwNF8M6ZYXJuYVlllB/di5TAT3x610DRhl2n5vr3rnR418OrqQsf7WEkpbbu8oiLP+/0rot6Iu9ztQDOe2KAMYaZDYblSYJbM2/yZcMgP+yD0rStdhjyrK3pt6VzXjTxjB4aWJIIY59TnTeBJysK/SsTwn8Q59S1FLHVkiDTMBFNEu35j2I9PegR1mnr/AMVDIB1aA/8AoVaF01vbRvdTG3ht1+9PcPtXPoPWsN737FrEjgYdovLX2LOB/WuA+JWtyal4jfT4yVtdPHkogPBbuT/L8KAPYLK9tb6286zuYbiEcb4W3KKvARCKRpXEaKheSQnARPWvDfh5qNxY+IoIUZvIuv3ci9jxwa7zxnqkieDtaROGeaG2OD/CeaYFI/FPRItSMMOl3L2m4qbkzfO3+0F/pXbpd24hSdHEkUihonHRs9P5ivnKG2aRuK9d0mSW18C6Q8jHEdwuT/s+bQBQ+JPjO8stUfQdHuZLeOAD7VLGdryyHn73p/jU/wAOvFN7qYn0vUJnuHjjM0Espy4x95c964zxpZzHx3q6sD89wXBPcEZH866L4baZPHqtzesuIoLdo8+rPwB/OgRq/ETxFM/hOKGA7ftk7I7DqVFeX6Z51vfQ3ETFGjcMrDtXoGu6bJquiy2EQP2nTrlpfLxy0bZ5H51neHfDr3l/EHjdYI+ZX2449PrQB1l1dPDfCYHazxIW9tzLXmPiZZ7nxdqPmA7vOIGf7vavUryz+36hPa7tnmQOAf7vIxWJqGkjUrpHnie1v1XbLlNySY/iDCgDM8BafKmozSqrBBEVPpzVXxNZS31ppsu3/UiSCb/ZbfkZ/CvRdB0tNOs1iQHGdzM3VzVa90JUvJ7qNlMU4/fQSLlWP94ehoA4Xwxo3mavbsIzthbzGb6dP1rovEuniaS5tZjsS62PA/bzF/h/EV0un2sMKDykjVR2QVcntormIpMiyI38LcimtgPO9G8MvLdILmAxxKRnj73tXpSJtVV/Sore1jg+4OKnA5oATvmmEEuT0zUnY1E7cGgCMnOTSL1FKfu4xzSYx24oAjvbmOys5LmZgkca7mY9MVBF498M6tGEv9G0K83DnaBG/wCoqafXNP0K4ga/itLhZVKeTdNhWpk8Hw815C1z4fW3dv47CRSP0pARPovw31Ub5NBvbPP8VrLuH6VVl+G/gyc50vxTe6dJ2FwD/wDWprfDjwXcNnTfE+o6c/ZZo+P6Uf8ACsvEcB3aN4xsb9f4Uml6/gc0BcVfhf4jQbtG8ZWN6vZJH5/XNU5/C/xM0tizaTDdqP4oMZP5EVLc+HPiLpylpfD9neKP+WltJ836GqUfjDX9Ik23una5Yleu0sw/UUwHL4p8W6Kf9O0TV7fb3jZ8D8xWhZ/Gm5jbZNdzx/7Nzbh/1FWLL4zPGvly3xOO15bHn8RWxH4/0HWFVL/R9EvA3dHXd/48KAK8XxO0XUBi/tdFvM/89I9h/wDHhSyf8K/1pd03hWJd3V7SRf8A2WmXmjfDjV13S6Nd2LHq1qOB+VZbfC3wZdNnTfFlzaOfurOg4/lSCxbl8AfDe8/1N9qOnOf75JA/MVW/4VVoh5i8d7Y/4QV5x+dRN8JvE1ud2i+LLS7TspnK/wCNRnwN8UYzsEFlIB/H5yc/pTA9Y2YOd5p3l7s/MfzpmOBzTgCOhNIYeQncA/WpkCgYCjFRjOaeoIPtQIkHHpTs+tN4zS5X0pgOGPapEqNQvpzUysi4+XmgCVHkB44FWED95MbvWoI3GeFqyrjHPQUwFMG05WXHrxxUNzaxXCjfjcv4VO0uVPT86jI3AelICq8KqAhPP1qCSMgFXJYitI2wbAwGHv1H0qB7GVFOW3jt6igDMBVQeTUMu0g8c1cmhH+726VRkTB5NAIpyKwLEHg9qgYetWHAHeoGwM4qRkRXNIVp+cU080gIXUVAYcmrRHtTSD6UAVzFj0qNlB7ipmTPrTDFgc5FAEDRrUbovqKsMnAyajMSe5oApuiVAyrjhc1pGJOy1C8Y7CgDJkRm/hqk9vKGJXB+tbciY7VXdPyoA5i706SX5jnPtWRPpLHPyn8a7p49y5xms+e33ZwBUlHAXGknPC4+lZ01rPCeBvFd9cWZbt+lZVxpz84XB9qLCOO3ZbByp96sIAF4UfWtK501+coT+FZ72U8ZJXcPalYq49ZSO/NOdI5x+8VG/DmqpaRD864p8Zzkg0rDuRvpSEZhmKs38Lc0yNL+wPKb0zzjkVcDAHrzUiSZp8zQrIbDOk6nBww6qetMmOW29qn2JI2dqk+veh7Y/eQ/N3BpqYnEz2O7PtU9ldPBL8xZ4gc7c9D6ioJBiTBBH1p6jC+2ask3YwPspdZDOpGf/rVUEpZAFi2tjlegFVLe4e2Y7eVP3l7GtBJlkj3Icg9B3FAGe9qVnL4wnoPWnwX1xby4aMOlTSlwrbAuR0zULnavPTvSsB0mlarot1hL5CueM9MVuSeENM1BA9ldjBHGfmFeeoFfB6Zp9vcXtnMz2l3JEc/wn+lJ3GdxL4ZuotPa3uYkkWBf3MsZ52/3a525t5bIAW8J2EDeRyTV3T/HWp2vyXkK3KdCw4anz6ja6kzzWOY0x+8idfmU+3tSTAy7tS8LS7Tll6ViyyMZlZx04rTiMk6yzPvTsE7U1LWKdAzLyODVCG2wDgbTxV77M7LzHuHtWbJHJb8w/gDV6x157Zk86H645qb2GRSWEWehU+9RvoRmQlVVq7C11fQdVASUxpIezirUvhy3kHmWc3Hba2RQpoLHmk2gsmflIrOl0uVCcDNelTaXfw9hIvoazpYIicXFsyEegqr3Cx5+Ent2ypdD7VqWXinWdPI8q8kKjsTXQyaVBOP3LqT6NWdc+H25zH+IpNAall8TbhQFvbWOUdyBg12OgeIrLX1l+zDY8YBaMnOK8om0aRCcA1o+FLiTRPEME0gIgf8Adykeh7/galxQ0z2AgAYz1poXI29RTiwINN+6BUoYoPPvUkJAl/3uKZ6+tJyOe4qkxF1gCKjAzmnbtyBh0NNAwxHrTYDHH40I2QQe1SMMiohwxpbARzDjPcc0kD4aRCeCfNQezdf/AB7+dSyLletVSwiYSnJ8puf9w9f1waLgXA2KcOe9NZdrEUDpVoQ88mgcUgNGeaAHRXEf263tGPEhLv7qvOPzxXh/jXxRdeJdfuJXnZ7WORhAhPAH976nrXrrt5fiSxZzhJo5YM+5GR/KvCdQ06fT9Sns5xiWGQo3vg0xECOyuGBOQcg5r2/Qtcn1DwvHeT/8fCwHee7Fcjd+OK8ctrJ5JEUDLscAV7XoekHTdBgs32s4i/eY9Sc4/WgDhviRfySaP4fswT5JhacjPVun+frXniIWIx1r0nXdDn1fT1sE51HTWIEZPEkJPBH6frXP2Hhm9Mmz7JcGfsgiPFAG58LoJINflZj+7e2cMPxGP1xXUavFNcaT4qskOJmtkmRe7Iv3v5Vf8OaC2i2zJOE+0yAeZjnaOy5/n+FW7yzliv4tSswjXESmNo3OFljP3kP8x70gPnuOJncDHJrp/COif2lr9jaoGJaZSTjgAckn8M128ngXRbq9e4sLySy3HLW08R/deynuK6rS9K07QYPKsR5k0i7Xn2bTj0FMCrr4W4vVI+61wPyrkdc0ifxD4aitUiJ1XRXaPyc8zQnoy+vQV12pDDxH0nX+Yqa70yK4nS5jZorlMhJozhgPT6e1IDyTRvDs09zGhtZHkY48vYRz/SvWtG0WPRdMW0UgzOd0xHTOOg+lW4Jp4/kmvUkboTtVSfrirGOOuaY7HP3dqlrPdm4ge60y+j8q9hXlxjpIo7kVj2fgTTXZZLPV43tTyfk/eAe49a7hYfN7fL3759gO5pkkC2h3TzWdqD08+YIW/M0gIbS0trCzjsrNCkKEn5vvO3cmobvT/OkSaOR4biI5imjOGX/63bFXyuwKSVKt91lOQfxq1awK5yzqpOcZ9B1P+fWgDKiimlkWa8stPNyOPOWHk+/NXGZmO6RtzVxGv/E/TdO1F7fS9Li1Dyzte4uW+Un/AGcdvet3w34psvFFi80EP2a6hx5tvuyMHup7imI1nRHUlxwByTRaaMqjfBZBE/vHC5/CkOo2tlDeXlym6Cwh8+QD+I9h/n1rwbxB4p1XxJqDXN7cyFQSYoQ2EiHoo/rQB73cq0SMjqVbHQ1maW4ibUCx4Ei/y7Vzfw68T3esWNzo9+7TywRGaCZ2y20dUPtWtbXAXU/IwPnuwen91GNADPEfirT/AA45ivA9zeuuVtYnwsY9zR4a8a2HiGb7NHE9tchdwid9wYexrxvWL2TVNZu7uX70srN9BnAH5YrV8IxXCeJ9NljP/LZf/wBVDC57stxAsjrM2FVd7n0Qda8X8RfEDWNX1WR7W8mtLNWxDFCxXAHQnHU16Hq3nTvrlpECZZNLcxAdzzXittavKwwhIoGeseBPFd1rEM1nqMpmuYV3xynqy9CD+lS+O9fli8HTfZnKSXNx9myp/gAOf5fqay/h3pUqXl1elSIki8oe7N/9YVLr2lTanot9pkSbru0uvtUSd2jYc4oEeWxK+7oa9d0e+n/4V4rzuXMbGPLf3Nw/xriNO8O3F1OsEMbPM3HTpXrMWhWsHh/+yY3LQ+XsLnjce7fn/KgFueR/EBpJvGV1vycKgT6bR/8AXqt4e0yefV7ONEbeZB0+o5ru9T0GLVriFroi31SGMQt5gPlzqOjhvWtzw54ag0gm4DGS6Zdu4fdRfagDO1/zPtUs6KcQqJj7hXBP6VxXizR3XxVe3Dc210/nwyDo6tzxXpwiR9cMbKCrQuCPWmxaQLWNbZ1iuLJT+5iuEz5Psp9PrQByfgbQDJqH9pFSkFsf3Wf+Wknt7DrXR6zp6TzX+n3Unk2uponlTn7sU6/d3egNdFbRKkaqgVUUYVV6LUk0KSxMrpvXGCNuaoR5ppfgHVVuRDeQRwW6n5pg4P4j1r0K4062k0s2AQLbiLy1A7AVNbae1uUQxxwhv9XG8oDH6LU/kmSUJjGOue1IDlZ9Ih1No4tYgmNzCojW9t2G6VB03g963tOs7awsxa2kPlQg7sE5Zj6tWV4p8QWHh2GKW6eVppRmK3iO1iPVj2/z71H4c8V2Wvo/ko8NxGMtFI2ePUHvQBe1HTYLm4S8LyW88XCTRnB+nvU1pFlQzySOfV12/wBKr634gttI0O71QxK8tvhIUf8AikNeVad498QJq6XU9/LcRFsvbuf3ZXPTHagZ6lEhPiFEUEkq/ApNb1K30a3NzeSxwxg4GRkt9BUFxfCy1aK7VjtaJnU+zAf415r8Q9Wn1XxPJEzHy7cBFGe+Of8AD8KAPUtE12z1q3aW0mWRV4bAIwfoao+JdattM0mW9m/e5fyoYezN3zXn/gOW4s9c2ZYLLE28fTn/AD9aXxlNNdafpoYkqstwGHX5t9MRpeHPHU8+rpBcwQxxSnapi+XafevTCdwGPrXiOg6RLcanaIg+dpBn/ZGa9tjGUXPpmhASqcKKM80h4GBQD2oAUng1CeuO1Snoaj/hye9ADD1pQDuGKUDJpyzQwSrJcBvJDDfsHzY9qAMefVPCOoTtZatpun38sTMnmPcGORfUelV5PA/gC/Pm2z6rprnoYXWVB+XNdRc6D8LdcLeZZi0lc5LbXjOfXuKpH4L6BNl9D8UXFux6KsqsB+WKAMI/D+dRjRPHoPpFeqU/nTW8HfEO1TfFHpeqoOhhkUt+mK0rn4W+PbAk6frtveJ2WfjP5isuew+IeiZa48PR3AH8dq3P/jpoAgHibxnoDbb3QdVtQvG6BnI/XitC0+M00X7u6urj3S7tQ36iq0HxQ1rTGWO/t9Ys8cEOu9f/AB6tBPiToGrDbqEGl3eev2y02N/30KALSePPDWucX+laHd56n/Vv+tNl0L4b6qmX0W6s2P8AFaS7x/Oom0/4f62nz6DbIW/jsLsf+gmqT/Dfwkx36fr2raa/bzIt6/mtAE8fw08MSsTpHjC8sm/uTrt/wpsvw28YoB/ZPimw1GMdFkkH9c1A3w+8VRjOkeL7C+Tsk0u1j+DVXm0b4i6SC8+gwXqj/lpbHd/6Cf6UAOn0H4iaSC0/h+G5Ver2x5/8dNU/+En8VQ/u28O6wpXghXkx/wCg1JF8Q/EGkOEvrDWLLaeQGYr+TCtNfjVIFAOo3QPo1suaAPUSeaUNg9ai3c04E0hkm6nh8/WoASacOTQBN160q4HbmogMU4DNMROD0qYbiBx+tQKNtSocdaALMZwRUpJ6hWIqurccVZjcBcEnFMCVI8kNjJJ7VOIcjJGT65qBHXdhQQTSliOSeDx0oAezIh9fpVR5WfG5i49uMU97kKu3nH0qq8qNnGRmgTIp2BAHJx271SlIPHUVPI4BxxVSX2pjIJV3ZqoYz9ferLEgnNRlwBWbGQEf/qpNuKnMhZewH+7UWfX86QDOfXimkZNSYz3ppSgCEqQenFRupYVbwOaYcDtSApGIk9aaYvzq4QD0qNx7UwKbKwFQuNvf8auspHQVE8ZYc0AU2iNRGPHvV7BUEYzTPLyeBzQBTCIAdwYGonhC/wAS1fEWGzxUU6FgNmFPfis2tSjJki5OefpVOWHGMAkVsmJsHLVA8A55qkhHPXMDSEkR81kXNrISSMV2JRBkZqjPbxnJUZ/CgDhp7NznPWs6S0kUkgHIruprNDnisyeyUHgGnYDky0qn5lzSiQEjbgH0rXntVydwrOltADkHNIY0SMG96l852J7H1qrhkb/GnhgB90r71LiO5OTn5HwQaa6rn5SMe9NBOBjBpwh7sQoo1Q9GQetOjlaJtyn8KnZlA2ov41EYlPXI+lUp9xcpZWdJV9CPWo3cHoelRi1Y/wCrcE9fSgQzRZzCefSnzIlpgHw2e1BLbt6nnvTSTwCMNSA7MbupqhFq3u4g+2ZSB611ul6NYXe24s79FlxgxnuPSuGbke1EU0sMgeF2Q9QQaljOr1ewl0ubyJF+ST7jDvWeoMVmzqu6THANRL4pu5LU2t8ouIT6/e/A1at3hktzIrbk+nIpoCpE5mi/egK+eB61GYfmx+tWVWK5dLle2VAPeiVc5FAjIls45rkhD869xV60vdW0wg205Kj+FhWdLK9tds1alpfwThd/BPrSsh3Ni38dXKbV1CzLAfxLW3B4g0fVU2+Yob0brWVZaNFqZ2wyoG9Caiv/AAPdxHcIlf8A658Go5UM3JNGtLld0L4PXg1Ql0e9t/8AUuGHoa5zy9U0t8R3EsZH8Mo4rQtvFWo2w23MHmr6pT94NCd90Rxc25+oqBrayuTw+z61qW/iXTbz5JMRt6NxVp7LT7td6bM+xxRzdwsbuk3An06Esys6rsYg56VcK1haLYnTZ3VZGaGUZx6Gt4A5HGazejKQg6Uh607bjilC8UXHYdEflK+hzUg5x61Eo2sG7dKmXrVwdyWrAeDUZHNSEUw81dkSNGMEGq8oCvk8owww9j1qc/epsqkqfQ1LQxtrIsluAHEjRny2PqR3/LFTdKqQtKJlyIxFtEbc/Nu52/hjj8qtAYog+gMcDig8n+lNJ7U4GrCxS1Gy+2QbQxR1cPG4/hcHIP51j6p4fsvEEouL5WstTVdjSxpujkx6en44NdNSbVPUCgVjn9H8LWWmzedk3NwPuyMMKv0HrXSBQq4oQADikPLUMLFK70q3vJY5juWaM/JIhww/+tT0E8Z8uW+chegOFNWLm6hs7aea4k8qCFcyyf0rzPUPinILpl0vTLZbYHGZwWZh68HigLnp8YxjJyfWpdu447Vy/hHxZb+JI5U8v7PeRjc0IOQR/eX2/wAa6aC7hF4kMm3ywhnlY9lX+nf8KAuONmyQNPIYbe3XnzZ5Ni0sUazwefbz29zGDjzIH3gV4N4u8YXvirVZZZJJEslc/Z7bdxGvbI7t6mm+E9eu/D+uW93bu/lhgJogflkToQRQB7Bq4Cx5z/y0U/rWtPNaWVncT3U4SKBN0z7vuj+7/n6d6zPEKqjMU+4zoy/QkGuK8bX8x8DWygn/AE29dpD6gZOP5flQIiu/izMlyY9N0m2S0HCifLO35HArtfDPiO08S6e09vEYJYiFlhLZ2nsQfQ814IkZZh6mvQPhis8WsXfXyjbncPfcMf1pgenXOswaVYahfyrvi0+HfgHlpD2/UD8a+f8AWNZvNe1WXUb2TfPIfThR2UD0r1PxCZLrwz4os48+Ynk3GO5TjP8A6Cfyryi2s5JThUJA6mgD0X4Y65MzS6LM5MOwzW4/usPvD6Y/lXS65rcltoevyx8Pb2yxJ7b+M/8Aj36VzHw60mSPU5711Ijhi2qcdWbt+Wa6S/tEbULqyucJa6rb/Z/MPRZR938/6UAeHKhY57HtXd/DFZYvFAKg7XhdW/LP+FUx4Qv7G7MN1bSeYG2rtQkH3Fd/4R8Of2Qr3M3E8i7VX+6vvQBBrnmTeHfFttGCZVhhlx/sZ5/lXkEFo7twpNe8XUE1tqCajbIJSEMU8BxieM/w/WsiPwVo0kwltrm4tom5Ns8XzL7A/wD66AMv4caNNbS3mquuIFhaBTn7zNWldNJb3D3yLv8AslzHI4H9wqQ36GunjihtrNLS2j8u3jXCr3+p96z7BFa7vlYcEIf50AeYa54UuLXWrie2gkm0+ZzLbyxLvDKeetdj4M8LfY/K1W7UpJg+TEev1Nby2kOmyBIJ3t/MbKxZyvvtX/CtKAoxLZZm77qAsUNRtZ4r621C0XdNb/wZx5inque1YJ8I6XcXAmtppLVHOWt5YvnQnqM128cfnMV6ADLH0FY+r6tpuiSqL7Ube2LfdjILv+lA2XbKzgsrcQ20eyIEkA9ST1J96hu9MW5uIrmN3iuYvuSJ1HqPce1PsNRtdRtxPZ3MdxEeN8Z7+/pWjJdWNhpVzd3km2GGPzJj3x2Uf57igRm267GIlkiaQn5tgAzV8YIrya5+LWqNqJaysrOKxDfLA8W5ivu3r9K9H0rxDaaposeswoUhIbfE3VWXqP8APrRYDQktCQW2AYGWZztUfWobWeC4V2tri3nEZ+cwSB8fWvP/AIq+Jp5DaaHBI6RNEJ7ja33y3b+Z/L0rhvDt/daVqkF1bSMhVxvUdHXup9qAue0KVTX0ZiAvluT7CszxZ4ksfD1vDPPB9pvZ13W9sx2qif3mpPEU5tZnkQ8eURn2LKP5GvO/H0s0/jO9STJWIJGg9BsH+NAHbeFPHsetXi6fd2qWtw+fKMJ+RvbHY11t1rEWm2d7dyJvSxgM7LnG49AP8+teLeGLK4/4SDTzGp3CdTn05/8A116PrUMt1b+I7BEZpZrOOaNB1YK2SB+VMR5RqGr3+sas+p3kzSXTsCGz930A9AK9i0vxBPe+Dbe/nP8ApAPkSn+9hgAfyxXlmn6Wm5HmUkEjgda9WttBktvCP2AfLMyedt/useQP5CnYDzHx/ezah4xu/NORDtiQegxn+ZNWvh+ssXiaEYOGjkB+m3/9Va2reHW1y+Oq2ce+ZkAubfdh45F46e+K6Xwr4eGlwy3Fyim8m4AX/lknXH1Jx+VIZgeMxLd+EJFj+b7LqRMwHYEMB+pFcbpWkyXNzBFFGZJ5XCpGvUn0r1m601re8uJ47Zbi1vEC3VsTjdjoy+hp+h6BpumXP2q0tpxKRhWuGB2fT3pgU9Ys5HeKziwZEtjGvuyoP8K4nXtFe71EanaAzRXABcKMmN+6mvR5xnxFbDHBL/8AoNLdaNF9qMsMMgnb7wiHX69vzoEc54S0L7NL9pmjKykfdP8ACPf60alojreTxPC8lpcSedHJEuWhkxzkehrr4IlhiCeU8bdw45qYKpHNIDmPD+hJYztNkuxXbnGMA9cV0rMsKF3YKoHJPQU8AZ4GK43xsL28ltrO2jkMI/ePs/iOcAVQHWpIsih0YMp6EGpCMZNY3ha1mttHCTRsmJCBke1bBO0HNADWbdwKRvmpEHBb1oByfekA5RkHimS6bomsxS2Os38lrGdrIUzyfqOlTEjHbArHutA8N69cfaofFGoadesoVlYBowQOwFAFtfh1lcaD4xEn92KZlk/nzVS48GeOdPy5tbK+QfxRbomP5VCPA3idTu0nxHo+qKOit+7c0eb8QvD53XGg6kVTkyWU/mL+VADoPFPizQiEm0zVrdV/uFZlrTtPjFLG4W9ubcN/duoGiP51Rh+Lt1bkR6luiI4K31pj9a04PHvhrWF2Xml2Fxnr5LgH8jQBu23xI0vVYtlzpyXCnvDKsg/I1UvNH+G2ut/pVkttK38RVo/1FZU+gfDvVuTazafIf41Xb+q1D/wriyPOheMZFb+GOWbcPyegCaf4L+ENRBfStZkib+HbMHx+fNUW+EHi/SQTo3iJZE7JKpGf50s/gfx5ZfNDLY38fY+XsY/ipqoNa8Y6C2250fUY9vVrafePyNAFe50r4k6cxE+j29+o6mIAn9CDVaLxrrOiP/pmg6nZMvUxlto/Aiuhtvi9d2uEvZnix2vbUr/48K3rH4padqGFlt7K5B4Pkyj+RoA5u0+MsM8YjuL4e6XlsGH6VZ/4TXwtL+8ks/D7u3JbaRn8K6Se48DawP8AiYaOkZbq7wA/qKzG8BfC6djLviXdzgSyDH4UAdN0780u7FRg5FPBA70gFBYg84pQxpN9KCaAHhiMVMrH8KhDZqVTjHFMCZcHFTqBxxzUMa5FWEQHtn60ASICegAqZEyeT0p0aj0AqwsKFSD+lMCPZgn58H0oEPIbcvtT2jRMEvj2pU2EcHn0oAgliADM2OB1HeqSRbIl+T5jzV6dAcRF8FuTn0qvMme/XvTEZ8y4NUWXYeKuSowY9cVVfPtSewyvJz0NRFCeTUzjmo23EYqRojK47ineX0G4U0RF/wCLmlMZXBz0pADKFHLU04Hv70oIHXpSFlGcUgGde3HpRkdxSGVQaXePwoACcdMUxjx059qHPORTd2c5FACEZ61GQMHj86lLDPJpm9c9qQEXlk84pjDHYVMWzTWx2xmgCu4OetMkGegUGpm5+tRE49KBlV4sH1qNkXHSrpXrUbL69aaEZrwdT2qvJagrx8rfpWoUOf6VC8ZJPSkMxpLbcvJ59cVRms+pxk1vyQMx7fnUMkOMZpiOWmsWYZwOaoS6b6nB+ldfLAuORVSW23Z20AcfNpuByeaoTWQTJDjNdXc2hwc1nSaaD1NKwzmirqx/nTxIWHPNa0tltBqlJaFegqSiFGQj5WH0PWn7/XioHjZc/LSKXOeePeiwXLfngDgZpVnkYZA49aqo5XBZRn9KeWyOufYVNh3JpNkow53N2K9aqywkFA/zY71MhY4AXip/lXHmHA9B1oUmgsmUHJyAelJ1XPar729vOOjRn165qKawmjXco8xf9n/CrUkyXFlJhkVJaXMtnMHTlT95T0YU0AleeDSEcf0qidjoBewGGOUY2scYxyDSyAYb2rBhnaCUMOV/iU962ortbhAYmG7+JW7UAVplRnXdsJI/GqzxAuD0qZrQ/ajMTuU5x60yRsS7CpGBwe1ACwSTwOHhmZSOhrc0/wAf6jZSeTcoZ4171hxNg1XM8aXjB+jVLVxnp1n4o0XWU2TIiseqvinXHhfSL4b7Z/LY/wBxv6V5x5EUx4xVuB9SsDutrmQAfwtyKXKM2tS8FXUQLJsuF/3cNXPG1u7CQhXnt2HZs4robTxpf2wC3kG9f7y81u2/iTSNVXZOqZPZhRdiscbb+INUtCN+JV9V4Nek6TqCappsF5FkCRPmB6qe4/OsSfw1pV8N1tJ5THptNXfD2m3OkNNaySCS3c7oz3B71nUta6LibZGRQqkinmPDUbcGufnNbEZyKkU8r60pGaROGK44anCpaRMloOI5ppp5FIUxmu1GJGVpCKkpvf3oAqyqA+Dwr8E+nv8AgaljkMkW5k2ODtce4/zmiaPcpqvFKUmUMSQ+I2+v8J/Hp+VTazGWs04d6Z0ODSjrVgOJpR1z3ozlaAcUCHZwKaWwM+lLjNNYYU460AeaeO9QlPhiyRXIF3cSNLjvtPA/X9K87RCQDXqeuaFLqul3Glod15ZTNc26f89Y37D6f0964+20KWNh5sL+ZnHl7TmmJmp8NY3XxbAV4GyQN9Nh/rivQLjzJNSvrWPl7nSZ44h6tg/41T8GeHX0eOS+uEVbiVfLjTdyq98j1/w961tQtZmaC5s3Ed5bNviZhwfVT7EcUgsfPyRMWHBJ9B1ro9B0WfUNStrWH5XlcLu9PU/lXoF54Q0bVL17yF5dMupDumglj3pnuVYcVv6Hoen6FG5tGM1y42tMy4Cj0FMLB4hIMMgT7se1V/DFc1qGgtqOnXnh95FE6TG+sGbo6nO5PqM/qK6TWx/oM57Yq5PYQ3qR+ZHuK4ZT0Kt6g9qQHklj4TvDc+S9tKJT94smAtelaJoMOjW8kcJG6Rs5x0HpWkqmHCS3TOV/vNkj61ZUoVG0ginuMw72yuLXUEvrVUdsGOWJvuzRnqpPb2rKi8LaNJulhN1aR5yYCnK+wNdkV38Fcj2GfyFZ2rX+m6OqDUr+3sy5+RD8zH8qQiWyjSG1jt7SERwr9339zU1xbRXMJjmRXVuoYcVXsr2C+t0uLG5iuYWON8Z/n6VpW5BZMkKzZxn+EDqf896YzPW3azQR/anCjosrbiPz5qdDkHn8fWvPPFXxPuINSmstCSFIo22tcsPMLnvj29z1rR8F+N5demOn6gka3e3eksa4D+oI9aAudwkTSA4Bwo5qtfyafo6pLq+q21iJPuRty7VJHq0Ni13NKpMVjbNdSY7+n+fevnnV9XvNd1Se/vZWlmlbPJyFHZR6AUCPoYrDLai7s7qK7tpOBNCcrWHBc/Zby9kIJLKgUf3mJwP1ri/hVqMy6vJprOxtrqNwVzxuA3A49eK6e8fytRtxnCvdQKxz7mgDI8Y+M5tAujpmmmNr4ANdXLKDyR0Udv6Vm+FfHuo3GrwWepyLPFOwjD7QrIx6dO1cl4kaa48U6m8gbe11JlT2+Y1Jo2mzS6naRoG3tKoH50Ae6NqQtLkRlsBYmmb6LXz/AKnqdxrGpz31y7PJKxPJ+6Ow+gFe1aiijXLdJTiG7iktS3oSOP615INAuba6khuE2NG5Uqe5oA3fhtdTwa80AZvJmibevbI5B/z610PjS7ebwNqmM5/tSOF/ptJ/otS+CPD72skmoTIyFl2RAjqO7fyH51panpts39oWF9uXTtR2sZl/5YTL91voaYHikEBcnrivWPCVnMPh9eqM7pZXMf4KBUGnfDqaOdRc3Nr9jB/1sT7iw9hXfw20EFulvbxCOCNdqIO1AHknjfT5LvVbDUI1zDdWcfz9gyjBH8qj0DQTe6hDEg4Vgzn0XvXo0uj+WskKxRT2jtv+zy5+Ru5Q9qv2NjBaR7IbeOFfROSfxoAy9Ss1vb42xyBLFImfTiud1Hw43iKWO4WSGDWLdBBdRSnb5pHSRPYiuulP/E9tz/vfyqxdQq0pKQpI8fLM7bVj+rUAY3hfwumis89w6S3jDaCv3Yx3x6k1sahYPPLBdW0vk3cB/dybcj6MO4qS0uYp1Ply28m3qYZQ4FXlAcdcHnn09TQBj2uk2a3Qu2023juc5Lpnbn1CmtYnIPc15rqvxKs7PV3i0/TxdRo21riWUhm9dtdtp2uW2oaMmpQ58sruw3UH0P40AOubGJboPHalpT95wdu36mrFtgRcJtPpuz+teefErxRdI1vo1rM0amLzbh1OCxbt/X8qx/h9rNzZ6zHZtI7W1xkFCeA2ODQB7P8AZPMiDmeOJApeR2PEaDv/AD/KuHtviL4f/tf7GlrdiBn8v7Y82R1+9t9KXxdrMq+DNaSM4aS4jtcjqF5J/lj8a8ltrcvKp4A96Yj3a6dLbxJavL86KWY4P3hsrnfih4puNPhtdJ0+QwvcR+fcSocMQT0z7/yxVnU2mbTNMZtxuBYDd65Ef/1q5T4i2j3Gu2V6pzBc2cRR/oMEUAM+H2uXq6t9glmeSCYZw7btpHpmvVx0ry7wVockmqC6HEUPf1Y9vyzXqS9c0gFAxx3qa0mS2uBLJEJB79qipdtUBd1G+S9aJIYvKgjX5U9SeprLm+baoqcng1W3ZYtRYBT7dKBwKaOppXOBgdaQFLWdVj0q0WVwSWbaqisYeI9Muh+/t4wfUqAf0rmfGGtre60beN8w2v7sEd2/iP8ASsAXHoawnJ3NIpHpsMmlyENDcyRH/Zl/xrVs9Q1O1bNjrb+yOeK8fW7Kn0NWo9WmjI2SuP8AgVJTkPlR7NL4p1gKI9R02z1CLod8Kvms24PgjVf+Qn4Ujt3/AOeluTEa85h8TXsR/wBcx+taUXjO7C7ZTG6e4qvaicDrY/A3hK8OdH8S6npb9kmfelOl+H3jC2TfpWv6VqyDkK3yvXMxeJbCXmWyjz6x/L/KrsGtWO/fDeXVs/4Gn7VE8jLE95478Otm80G/2D/lpZyMRViw+MNzCwhvJJo8dVvYM/rVu08XarbgC01oSL6SNt/nkVpN4ue9TZq+i2WoA9WaJWJ/EValEVmOi8daJqy4vNN026U94XCmmT6T8PtXA8/TJbR2/jUAgfjWfPp3w61fP2rQW0+U/wAdrIV/Q1CPh9oMg/4kfjO/s2P3Y7ldyfnVXQi+vwt0aYb9E8VSQHsn2gj9Dmom+GPi9WIi8QwvGPusyISfxxVNvAXjmzO/T9R0rV4xyP3gVjVU2vxEhJjPhaYleMxz/L+HNAj04OQOlOz3wKABTgnFIoQE9qeEOevFKFx3p64xQAigCphg4qPrTw238KYiZFzipkXHOT+dVxKD61IJMdVNMLFqMH61aRXYjsPTNZouWC4AP4VLC5L8DBPWkBoFlLbT+NNOwNlDimb9q7ieaieUsx+YgelMCYhQzF+o4+tVJCOoOaRjg9eKidiRSAjd/U1UkAJ61NLuHUYNVHYhuaGCGOBjiq5Vl6dKsEgmmkjB4qRlYk575ppJ98VOCG+tNKgd6AKysztjBIFKV64zUrA9VWggk0gK38XI5pcD0qUpx3xUTJ75oAM+namkgdjj1oBA7/hT8ZHagCE/Pxz+NIIwD1NTlOOtQk8+lAAVU5GaiKgHvipGZl/h3CmiUDGR+dAETsq8AfnUWSxOB1qeUl+VGKZhyd3GaT0GJsYcHH4UjoPLzkbvTNWwckfJx9ajliXkiMA1jzSvqXZFJkOOn1pnluxJVQO2atjyiOQBj35ppYHAGMd6q7EkVZLLKFo357g1UaEk89fStlGCrgHP4VWuYl4ZeM9R3qITd7Mco6aGRJABkY/Wq7w44HHtWkV5PXNJ5W0ZzmugzMk2iYJPWqstooHHP4VsSxE59KrNCwBGKAMGS0XnKn61QnsuDxgV0r25b/Gqj2JIOc596BnLS2oA6VQltAx966yXTyR0NULjTwik4/SlYZzDRtGTjpUfyfxAhvVa3DaF+inHutVpbAbs96QXM8Syr907h+Rp6TLuweG/2qWS1eM8dKhb0ZcgUrAWd5Ydce9P3SpHjcOfSqarnlH2kdj0p4ndD+8XGe46UrFXJXLu/wC8Cnj05pi2fmDh9o/2hQZ1ckrz7infaSMEY6dKNQ0IXtJoxym7/d5qFXKPuXcrirq3ZVicZ47mphP5zDMY/LNHOxcqY2C+8/CSEI/6NTpY/Wo7hInfAiVSOpHFPj2rCcuePu55qlNMXIyuQ6Z2VDLEkq/OBmrR+ZuOagcAdRj0qySKPfD92UkDpW3pXiQ2MmLi3WVe+4ZrGIAx7c0yQgjbn5j0pWuF2ekQaj4c1hAJII43PccGoLvwZbXQL2VyrHsr/wCNecgMGypIq/aa/f2QGycuo9anlKub0ul63o53KJQg6bfnWrFl4uvbVgJ0DBT2P9KTT/H5O1LvC5/vVtmXQ9ajBlSPce69aXqFzqNNvodV06K7hbKuPyPcVMetYmhWCaS0scFyZLaU7lU/wt/9etqRhnJ6GuGcLSN1K6FR8r0oOO1R5CnI70ZzmotYZOTnBppOaRG7etBOCa7qM+aJjNahjv3pD94UdqM8VqSIap3MWcgkhGGDt6/X8OD+FXiMio3XcpoYEEEjyx5f/WIdr/X1+hGDU3WqJf7POshPyD5JT/sdj+B/nV4jbwaAHA/lTiKjBzTs4piFHFKOaTvSigCpd6fFdlHbcssZzHIhwyH2NOQTRcSXKlh/EygNWgIR5Y/eBWKl25+4g78+vP5E15lr/wASLW3v5bfR7C2uI0bH2qfJ3n2Hp9adhHoqj5uDuNP2lu3Ncf4N8WxeIp5LWW3S2vVTeqxk7JAOuAeh9q69LlFlig3fvJmxj/ZHJ/oPxpWHcidS0XmKI4oV5aWZ9q/hSW1zBcBhbX1nc7fvCCQMR+FeQ+P/ABXda5q9xZRz/wDEut5CsapwJCON5rmdOvbrTryK7s5GjnibKstAHvWtkHTpyP7layXEFtZPNOyrHFAJJnzjaMdPyBJ/+vWBe3QvvD63i8LPbrJj0yOa5fxPqE7eBdSO87nv1gb/AHcZ/wDZRQIzNX+Kepz3TJpUcNraKcJujDM4988Cus8GeMP+EjWSC5ijhvIl3ERfdkX+8B2/+vXi8UTHHHNd18O7R08SI68BYH3fTj+tMD0+41eKwN9O4BSxtjMw7k84/lj8a8A1LU7vWNRlvryVpJpGyST0HoPYV7HqlpNeTa7p8YJkvNOzCP7zKeg/8d/OvH7WweQn5SFXqaAOj+HeoTWXiKO2Q/urtSkinocDIP1r0q/vXVtURCfMj02SSP8AJuf5VyPgTRXGoteFCIoUI5HV+36ZrrdRi+zX1vqGwyRBTDcIB/yzbqfw/lQB4KkeW65Ndj4FsZV8VWT4wU3Mx9tprQl8A3FtN52noby1kOYpFYY2123hrQE0e1d5dr3cuNxH/LMf3Qe/1pgPurSS9vNY01Th9T0x4oMnrIpzivF4NKm81lkQxsjbWVh3r3e9s/tAR0Zo54m3xSr95G9RUf2e0uL0Xd7pVu91nJmUldx9StK4WOW+Hnhx7KWfWJBtjEbRxL/eY8Vp3tj/AGhNcwhtsmxZI2/uurZU/nXTvIzoBhVUDhV6Csi051uQf9Mj/MUActf+GIdd1FtQjdLXUXx9qt5eBvxyynvmtzw/4Yh0iX7RNIk9xjCYX5Y/ceprXnDEbYIBKwb5sttRO/J9ada3BlwAYWUdTE+4UDFvLKK9hMUq5Gc9cEH1HvVcWR3L9rWG4YLjzZI8MR7nvWpAEMo3fgP7x7CuJ8aeOoNE1D7BZ20N5dJ/rXlOUT0GB3/lQgZ2ka4XrVe5ikkaPy85zyAOorlvBvjJfEDy208EdvcoNyrHna47/Surn1q30jS9S1Ngpaxt9wB6GRuFH/oP60IBGtksZlWd7G0L/djluFVz+FXCrrIqMPmP6184X17d6tfS317K89xKdzu/evV/A2tXM3hC7WaVpJNPb5Hc5O0jOPwIpiOm8U6vp3h/RzeXRaVSdkUKnHnN/h1/CuC0b4lrJfrDdaZDb27tjfAxJT6g9RWb8TL2a4uNGt3YmJbISj/eYnP/AKCK5G0s2bJYH2oA9t1K6Fpdpc/880kf6/LXE/EXXrlILLRUmbDRC4u8cbnc5AP4c/j7V02pwzSaZDE2fO+ytx33bM/0rjPGumtc61aahGS1re2sbpIOnC4I/SgDD8LalPpeuWs8LMqmULIoPDKeCDXqniLUZYbPXIo3ZWh0/K47bmxmuM8KeHzf61b7If8ARoWEk0nYAcj8zXd63bRR3guJoi1pdQta3RH8MZ6N+B/nRZgeJW9r5jZ7CvUPC1rMngi8QA/ed198Y/wNZtt4EuDeqiTxvZHlbhHByv09a9IsrGKzsIrWJNsUabVHtTA8k8bae8mvRXq/Nb3VvGyOOhwMY/SrfgnSPP1mO6AxDbct9e1d0+hDa1o8UdxYltyRSrzH/un0rSsbCGyhEcMKRIOdqjikBzup6fC51HTb2TyrXVNrwTEcRzL2PpmsnRfAcq6lG+qJGtpE2SFcHzMdh7GvQZ7cXERBXeDxgck+1Z1u/kTrA0cMTN92PzBvx9KAIb7Da9aDAALEY9PkNVW0R44/sckMd5p+8tHFL1h/3T6e1Wb0/wDE9sT6v/7Ka2eooQinp9hFZW6RRRJGi9FXtVw8cUowOKOtMBMUZwBxSikdsA+lUIjkfPy+tQk4wBTueT3NNHLc/rQMcBhSaytb1Mafp8sqvtmYbYv96tXrwK8k8a6ub7XWhif9zafu1Knq3c/nUSGjOfTXYlhNuJ/vDrUL6fcKOAp+lVkurhekjYqdNSnU/NtYVk0UtCMwzIBlWz9Kb5jL1Wr66rnG6P8AI0/7baS/f2g+4o5R3M7zvelExXnjPsavmCxm+7t59DUTaajElZGH60uUdysJiDnJU+1TLdNgDdn3pj6dMB8jBqrtbTp1jP4UuULmgl3Iv8ZNWI9UuI2+WZh9DisQ7k9R9RR5jE8HilyMdzpl8SXgQAzFx6OM1ai8RE9Yowf7yfKa5DzWByacJh680WYtDv7XxXJG2UnljI981rp8Q9RVQo1CbA/23/xry1Lg9mxUouHx1FUpSC0T6hBzj0qRW2jgcVAuSucGngn0rUzJQzNx0pckfxVEDj60opgSqMDrTxjHc1ECRTwc0ASgAEc4qdCAuBVUcmplB7c0xEwkI5/nUiSbSfmABqBVJHSpfL6cc0ATNOmOuce1RGTC7sE0hTOOlOAywBB/AUARmU8Eg4qNmYcggirDlEB+Xp+tVnZducYPpQBDI5PXtULHinueveoSpx7UhjSwzzUblemOtEikZw1QlSSMtxSYE3yjAPFBII68VCVG3hyfaozzjBz7UhkpYA4U/iaASMnvUeOKNxGcCmIn5INQlc9qerccj8KAyt0BH1oAgKYphJUccVZJByO9RkdqQEIc9GpGX8Kl2hRx1pdvBoAgK7RzTTsYED+VTlcmo9o3Y5H1oAiCDPGaCmPrVjycDioyg9/xpWAIlZ1O3kipCvGG6kVByh+VgPrV+KHzIBvY5Pda5a8nDU2grlFlTbgCq7DHIU59a0J08iRSfmU+gAqGVQYy4BTb1qY1eoOJUJkyMIw7c0ssZMQJ+9+dTuXj+6sjE8mmC+G3CJkj3o5pN6ILIzjHtzyaY8eTx0q25MrEsmM03ys8muuL0MnoUyoI5NNMZ46Yq75eB04phQVW4ig0Q5+XmoTBjsc+9aEiY7cVEy8dqQyg8YxyKpzQKVPb3Fajxg5wT+VUp7aOVsuG/A4piMcxeUW++5/2jWfcxFiSE256V0bWybcY5qF7XjgY9sUgOPmt36lTVOS3yfunNdbPZ5BPBqjJZ5PAwaLDOYe2ZOaiJYH/ABroJ7BlzwapSWPTPelYDJKo5/un2phEing5FXZrNkJqsVZKAGLID1PPvVuFQq793NVhlzyAae0e1flJHt2pWKQEuSWycmnpsB+bmowzIQCMj1qUGF/4skdaVhpkhkQqQQAPao3GRnginbEPvSMseOVNC0B6kBBIxmoyM9efSroSFlGFINRPbELlHD+3er5iLFXPzBcHBqF48vxwoqYbwxDrjnvQVyCO9MRnTplgadDd3NqwaJ2WrLx5HQYz3p8aonySJkY+9QBpWHi+6t8B3PFeqeH9bh1zSkuUI8xfllX+61eQppMd2uYXUn0zWr4Zurrwzq4eZJBZzfJMp9OzfhWdSHMi4Ox62eRSZwKYrBlDIQQRnI70hbmuXkNLkwbOaeG3fWq2/FORxvz0BGDV0/dkDdywB2oNKORSEYFdRkGfypjDPSlxjijOM0AVp4hjO0EY5B70lk5Km2clnjGUP95Ox/pUzZI9KpTq6SLJH/rEOU7A+qn6/wA6QF4jFO60yOZLiFZFBGfvKeqnuDTgcVQh460vSow1OPIoGzlPFOtTReC9ZuY2xJPdCzDD+FRx/JT+deLZzXtWp6T/AGla6voP3JLki9smY4V3H3k/z6ivMBoVzazNHdwNFKpwY3GDmqJLXgxZ4/FOmPDkP9oUf8B7/pmvXbpvL8Saec4R/MiB7buornfA/hmW0m/ta8jaPapFujDlif4vp/jXU6jYi+szHvKSKweOQfwOOhpAeA3VpLb308EysJI5GVgeuQavWemzTvGiITI5AUDuTXp1/wCHbPV7lrm7t5LPUT/rZ413xTH1HpWjofhiw0mUTxmS4uf4ZZRgJ9F9aAJprP7J4cSz6mG2Ef4gc1jXmmw3NtdaVcOYoNSVJoZm+7HcDoD/AL1dNqaYspeePLNSRWyXOnW6PGrhoUyrDOeKQzy6LwRqdtOYnspHlHGQPl/A16J4d0OPRrHaxDXL/wCtcdB/sir8FskQ2QGSUKcYjy4X2zVpCCCNrAjswxTuIztUsWuGinhk8q5gO+KTGdp9x3BrPGladdXRmutIVLhh8xRsox9cV0DIWY9SPQdT7CsXxD4k0fw8Eh1G4ke4YbhbW33gPUntSTYzUt4EijCxoI41GFjXoKmK71245PGKxdA8S6X4gRxYzSrLGMtBccPj1B71uwSI1xHBuxJMcfRf4j/T8aYFWLTA0jfZYC7g4YRjAzVjyZrcBZ7eSFj2cV5h48+It9d6jPpOiXLWmmQMU3252tMR33dQvtTfAPjTUItXi0zU7uW5sLlvL/fPuMbdiCaLCPV4Y/MbHXsB3YnoBWB4p8VaF4UuVtrxJ9Qv9oZ7eB/LWP0yf8mtOO/+y620LjctrBJcEeuB/wDWr54vbyfUtRnvbh2eWaQyOfXJpge6eHfFWj+J43SxWW1u0UubWZtxKjqVbvVee7+x6hNN/F5O1QB/EWAH86868CRTReI9OmhJJ+0hHA9CDn9K7bxDmOWSRQSIikjf7qyKTSA5r4jeJLhLtfD1pMyW1sgE5B5kc8nP51yOgaxdaNqkV1buQAfnXsy9wa1vHNhMPG+ovtO24k86JiOCjdKTRPDc+qXUNvChYbgZGA+6vcmmB69Jd41SxVfuujyj3wvH868AuXmvL2aaTLSSyM5PqSa951SB4ZLO9gQubNstGOrJjBH+fSuKn8Eb7/7VpzLcWkzb0I/hGelJAY3gK2uIvEluwQhTnJ9sV3OsWlxf6J4p06MFpWWK5jQdWRTz/KtHQtBTTF8xghmZdo2j7i+lXbqykN5Fe2soiuoshWK5VlPVWHcGmB4vYaOXZGm+UN+leqeF9C/svw9LHOhWS8Yu0Z6hMYH59a2LezsFm+0f2VFHcE5JVspn2q6SWbcxyaAPPtX0A69Z21o7KmqadujVJDt8+LsQaTw/4GkhuhcakAoU5WHduyff2rvZtPWWNZDDvbqgxz9fYVDFIUYoEQlfvbZAxH1oAoXSA6xaKeu4/wDoJpp0URLJa7I7iwZi/wBnmX/VHP8AA3YVJdnOs2bdi/8ASoPE+vWGi6V9vuh9pEj7bO2DY346u1AGpZWsFtB5dvDHFH/dj7/X1q00atGxfGwDk15l4e+IjXeqpbX1nbRRTvtR4Pl2emR3r0GbUks5WaRsLBG87/RRQBXne2010802toHPyiaUIT+FaaSbgBivnTWNWuta1SW/u3LPI2VB6KOwFeo+BtVuJPCdwrsXks8hC3XbtzQtwN/xJr1j4f0pb6+Q3Es7FbW03bd2P4m9qxvCPjlNcvTY3FnDazsC0TQk7Gx/Dg965f4myy3Ou6fGfuJYx7B9ck1V8E6dK/iawKDmN97EegHNNiPT9a8RrpOi6ncxqpmtYgsef77HFeGJeXk98bp55GuC+4ybvmzXqWv6dNfW+vWSKzTOIriIf3gDzXHaToD3FwsCLukbr7Uhne2V29//AGJdyffkxu+u05rq+1c6LZLK60u2BysbqB78GuiPp3poQlO70g4NGfTNMAJwKhdtxI7DrTncgY79qZjauKYhjdqTb60Z+al6n39KBiPDNJbyeTG7nGCVH3c1xt34Ltn3OpZW7qw5z9a9j8P3On21msMGoW7XL/NKnmhWz6bWHatd7BZ9zS28UiHnc8P9VqWh3Pmm58GSKTszWZL4au4ucE/hX0tPoGlTSFfsyhv+mUv9Dis+68E2JUnzpIT/ANNIjipsFz5sk0u6iJzEfwqq8EiH5kIr6Fn8AtKCYLi0mz6Ng1iX3w+vIlbfp8hUdSnzClYDxIjHtQrOnKuwr0m68GRjIeIqfdayrnwZtGUzz0pWGcil7cp/GD9RUi6lJ/FH+Valx4Yuos7eR6YrOl0q6i6xE0WABqELffTB+lL/AKFN3XP5VVe3kT78ZH1FQlPUc0mBeNhC33HI/Gon0tsZSQflVcAr91iD9aetxcJ0kJHvRYdxDYXCDhN3403yZ+8T5qymoTr95QRT/wC0/wDpkfzosB9ODg0pfBFGO/endMcVZIoOadmmhssaCT6UwJA1KGzjtTBTwpxkUASKfepV9O/1qJYz61Kg9SaYidDzgt+VTBQOT/KoFB3ZxmpDJhcAHNMB+Av3geenvVeS4CyH5JOPRKeLgtglCT71IZHxyMe1ICJGDrvUED/aHNRyIo6NzUxcFh1qGRhzhRg0AV3zioCpJqdyT0NQkk59aTGQvGzD72KjKH15qyeRz1phjPYmkBUaNwKXy2bBHNWdhUZY5NIE+akMrmI4zz9KaAc9DVlsZz3FRM43YYnHqKBEJVh60h35qUuuOKjLdcZOaYEfzE9vwp4ySCB0phZwckCpkAIpAHGDmm4GfanuAFyOTnnNR4z3oATcGPpQ2QOBmlKBc/NTc4FADdzGkK7uuaeWGDu6/WoyeBzQAx19qvW86RwqC6r7d6oklfpUsKo5AO8n0WsK8IyjqaQk0yw4guGLea7Hp0IApohhBG1Zmf1xmp0R+CLbyx9QM0rxyjLJ+rV5t7OyZ0WuRmBvJ2GABf8AeAzUElrllVYViJ7girJWaUbQ6KR/sUyOKZXZGmYk9Dmjma2aC3kV2jWEMkju5PRmFU5flYgEMPatY2ayZ3I2fY4qnc6f5SsVbBH8NbYevHms3qROmygyPsL7fkBxntVd2IxhSeasbeetN2KPSvSTOcrEcHI96ZnHSrRA/u0wpnJHGaYFYjJ9KiIXJHerZix6VCUbB4ziiwFV4xntUJAxyKttEc5pjR+wpBYoOm7pVZ4T2Xk1pMjjqtQsrZ60AZMsB2gbcnPWqctsck4/Gtxoyc9qqSQck96AOemtssScknuapTWo53Cujktc5x+VU5bPJ5FAHNPbKDxmoHBB74remtOfeqj2mf4eKQzLDjuKRgpHy9aty2ZGeOKqtAyc/wAqABHkRjwGFTrOjffyD71VD4pwbIpAWxgnOQaUbQOgqmCU+7kClE7AfMuRRYdywxRuCuT71A1uGzsb86BKr424/OkLMuSKWoaEDwTRLyhI9qiR95wwwRV0TYAyvWlLK68gfjT5mHKUJAyncjFT7Gr1rr1zAgimVZ09Hppiicgcp9KY9kONjk/hT5kLlPRfCniG21GL7CpKTRLlEbuvt9K6QnFeM2gurK7jubWQLLG25cGvV9N1JNSsY7hQFZhh067G9KiSQ1cuhqM1EGznB5pQ2R71Nhl63kDpg/eXrUvUVnJJ5bhxWgHBAIPymtIkjgOOaYy9xTs5oPSqAiNQyJuU1YIplICjHL9lnLtxFJgS+zdA349DWgRVWaIEnjIIwR6im2k+zFtIxyBmInqy+h9xQmIud6eOlRDr1p+eKoCC8soryLZJkFTuR1OHRvUHtU8bzKqibypyo/1jxDdSg5ri/FusSnU/7NCSC3RAW25+diP5CmB23mCTDb1cn+6c0owf8K4vw5GIbmLBK54K11s03leWi58yRwiYpASvGdjP+7RV5Z5G2qPxqpa6rp91cGG21KynmH8EUnP/ANevM/iN4pnvdVm0W3fy7Gzfy2VD/rXHUn6GuJtnljnjkicxyKwKuDyD7UWEfQ2pH/RJc/3DUunSwnT4BM2xFtvMlf8Auxgc/nj8s1kWOotq/hW2vn/1jwYk/wB8cGsPU7qZfB2v+WWDJbwR8f3GPP8AWgDnvE/xN1PUrowaPK+n6dG2IxF8ruPVvT6Vv/D/AMa3erzf2NqshnmCF4Lhvv8AH8B9a8ojiLMB3PpXa/D7Tn/4Sq2kxxCGkY/hTA9VfUIoL4+YMpbwPcv9AP8A9dfPmo30+q6ncXs7F5ZpC5JOe/SvcL+MHWYkkbZDf28tmW7KzD5f615GdAubS8lt7uMxNC21ge5H9KAJvB0str4m02ZCf+PhVI9jwf517EZGXxXFCp5a0n8v/f7VxHgrQWfUhfPFi3gwyk/xP2ArtdRgmM1ve2pAvLZ/MjJ6H1U+xHFAHgaW0hfaynfnkV1HhLRJL3XLGKPr5oZj6Ack13V14Q0vVr6XULG4WxkmbfNazpgq3fb7Vu6PodnokLfZ/wB7cyDElwRjj+6o9KegDLpkt/E9reTf8elwJLWdj0UP90mvMLzwZe6Tq01tcwsURz5TAfK69jmvX5raOeFonUNGwwVYdaZF9psYvJ+0v5IHyI/zFR7d8Urgcz4Q8LNp0i6rdBo5drLFEeCM/wAR/CtJoUn1cxMoZHhcMPUelbKypLh9+5qykGNej9Nj0AUn0KK5torK/gNxFbjFvcq4EgX+62a2tO0610+DybSARhvvN/E31NUb/U4bSzmvbu5+yWKHb5owXkPovtWNpPj3Rb6/S1imvIi52objGxj/AEoA7Mr1B/DFVUsk85jbW5kkz8/lLgf8CPTP61K7jfGucOzhF+ua81+I3je6fVpNE0edrWxtf3chhYqZH/iyfr/WhAeoBHj4kieM+hphdlYBArOTwD/OvJfAHijULfW4dPubqWayuj5ZjkcttY9GGenb867LX9Vls7DW5o+JLe0CqfQucZ/WmBm6z8QdI07U3t4bee+dHxJN5m0A/wCzXVaNrNprVgt1bOTEx2tuGGU+hr58ggaRgB1NemfDiOYWuqxjPl4Xb/vYNAG58QvFb6d4djjsnKXF+xVXB5SMen+e5ryDTr+5tb5LqGeRJUbduDHJ+tdb41tprvS9DuVyVVJIG/2XDViWGiS3E8UESF5JCAAKAPU7y7FxBaXkZwJITKD6fJmuC+IMrzXOjwclI7BCvuWJJr0Oayjtl0+yGPLRRD+GMVh6n4eTVbe1tZZEi1OwQxRtLwlxFnIIPqKAPN9O06Z7qEIDvZwF/OvYdStpJdQktt2Dd2Mluuem/bVXw74VTTZhdXmyS4Q/ugrZVPf61v3tkt3CQWZZAdyODgq3qKAPDIdGniZhNHtkU7Sh6g1654X0I6Z4fFvOm2a4y8q/3QRgD8sVbhtw0yTXkVsbpf8AlsU2sffFa68Lwcn1oA4/UdFi1qG1tp3SLUrBPJUy8LcR54Ib1rU8O6DFoqyMSsl1INrMv3UX0z71r3sCR27XLmJUXl3lOFX61Q0vWbDUt6Wl7b3DR9RFkYpgTajYG88uWKVopojlJF7e3uKbaae6OXkSJWP3jGuN1Xwfyp26kIxtT41ix9BKn9a2u9YuqHGq2f8A10T+tbVCADTScAkmlLetRffP+yO1MBOc7j17U0njNKxzSdV9BQAzvzWrounT3UxuYdv7hhjcpYFvoOaoW9u9zdRwxj53bAraisPFGnIYY9P0nUYVY7MP5cgH44qhM2czyLtvNMtbr1+dWY/g4BrNuLHS/NHlm/0t/wDpmzxqP5rTH8Tz2i7NV0XVLNO+1fNj/UGrVp4l0S4Xbb6jEr5+7IGiI/Lj9KBXHpHqceEs9aS+X+7dQh//AB5act/rcDjz9JgkT+9aXW0/98tU0djb3UvmCK3nHZlKsfzUqaabMtKIhNcW4z08zcv5SD+tILsZNr+nRDF/Yahbk97iz3Af8CWnWuoaddsDY6xGP+mfnbT/AN8tVkDULSMrDIkq+sivF+q5WqM1tbXjYv8AS47hj/EIklx+KYb9KLDNl4ZTFlljmB5/eRcfmuazLnR7O4yZ7BF97aRf5HFZ6abZxyFLO4u9PPpDdMmP+ASCp5IdetgGt9Ya6X+7eWu5f++0zQFyjceE9MkZtk1xAf8AptCcfmKzLjwFJNk281rP/uuK6OLV9ctwfO0e1nX+9Y3Xzf8AfJpkninRWwuqWV5aydzc2mR/30KLBc4W/wDAF5CpMtmceq81zV54MwTvhZD7pivb7LUdGvQFsNViUH/nnclT/wB8txV57KYqQLhZx1/fQBh+a4pWQ7nzPceD3UnZmsyfw1dxE7RuxX0xcaLDNIRNpVpJ7wy7D+TD+tY954X0lv8AljeWrd/3W9fzXNHKHMfOEum3UX3oWxVfyJf+ebflXv8AP4It51P2e9tZCf4XYKfyNZrfD283HFpGR6hhUuI+Y7ceop+7gU1Vp/tQAA5p4OabtPenDrwadwF5zTlbIz1pAadwDQA8cHPOKfu2nOaj+YUg560ATCY//qqVCTlt2TVfAHQ9akSQoMYoAk8zFKZWP0pm/Pag8t7UwEMh5phOflp7ICDUZUAjAwKQARjtj6UzIJ6c0Hg9RmmkGkAEruxjn1pdwHGBUfI9KY2Fxz+VICRlXGe9RkAfU0ueAO9NLe1AEToBnIx71CwGDyc1M5JHA4qA89Bz9aYxu8HtzTC5BI4zS8+hpdnBzgigQz+IdvY05gxX2puACOakXLAlc8d6QEYDN3p4XaOP1pxXJ296UoRxjH9aAEI3CmFeMEVJtIxSnae9AFYqSRjmlxg+1TYUHsaaV70AQlQTToW8qXeopQM5NKB7cVMo8ysNF8GdwI3VFU/xbuRSrZfO2biX8KjinJjXC5A64XP61cEqxoDJiMerGvFxHPTeiOuFpIjW2ZCAjf8AAick04xnOMHnvVjcZAChQrjqaUJkdRjviuNzlualNQFY/OT7UssXmCpioDcn8cUxxsHyAMf97FJOXNcDnru38mYjs3SqxUgVtXcUskTbgvqBuzWUQc45FfQYapzQ8zjqRsyPgHpRkZ9RSFGP0pPLOM4wK6DMQ4J4HAqMr1OKkx6iggEimBAyDtUTR4PvVrZ+VMZR3pCKbK27nmozEG61bMYao3iHPcCgZSaLngcVXeLj0rRKAjp+FRmJVFAGW1vu4Wojbtntg9c1pyFRkfyqAqSp60CMiS1PLcGqU0BA+YDFbjw5zwRVSS2aTP8AKgZz0yhRwOKz5Y88kcV0slq3Py5qlLaBv4eaAOdeEHPGKhMRBrdlsSO3NVZLXb60rMZlYZW560/CN14NXWtUMbFmww/h29arNbleQKQELQqw46+1R7ZYydrB/Y1PkxnpS+ajEKcZoAr+chX51KGpQhIDBht9c07C/wAPSmlFzxlfpRYBY2VmOwhqkffheuT05qJA0JO1FcH04NTpOrcFQG9D1pNFJjAGT5txwOora0bU5NNuhICTA/8ArY/Uev1rKzg7huz79KGYA55zU6jPUgySKJEbIYZz7UoPIzxmuO8M64sMgsbh8Rsf3TH+E+n0rr255B4poljias2kvzGIng9KpZxinA88cGqA1waM81FbTedHnjcOGqbHNAhDTCPWpMZpCKoCJsGqdzCG/iK4OVYdVb1q6VphXIpAQWtyZ1ZXAWaM4kUdPqParPSs6aJ45BLBtEy8Lu+6w/un+lXbe4S5hDoCrA7XQ9VPoaYicVg3uk6w+vG6sFjntptu+OTqhHBxW3nH1qRWwAQSG9RTA2ItIs7PS/tt9YpBcMpWCLduLE/xe1cvqbi2vNMuG+4t0qt+IIq/JLIxy8jOfVjmq19ax31m9vLnaw6jqD2I96LiPEfEllJb+KtUikzvFy5475ORTrbS3wrkZbIwK9P1HQ4tWeM6hA6XseFN9AoIlHqw7VZ0nwxZabMJxvmm/haVfu/QUwLFhp403w9BZ8ZSL5x/tHk1QMccNvHNcoX0+6tDbXoUZKjna/4Vv3S4tzUekos2kQBhkEEY/GkM4E/Dq/t7nNq8Nxbscxz78bh712ug6JHo1r5Y2SXLjEkijt6CtOOwWDiCFmX+7HwKfuKSAPE8ZXswpiI7yyivbZoZlyrfnVb+z/tIRL6CC9MY+WWWP58e5rTUeYrsqswXnC9W9APc1ieKvFmj+FTHDextfagy7vskTbViH+0f8mhDua6R7AFwqKvRVGAKeE3MEA5bpXLeGfHOl+JbwWLWX9nXrg+Vtfckh/u+xrpDP5N5Ba4PmzyeVx2HegLk508iIz+ZDFAqlnnmbCAe1JBsuYDcWl5bXkA6vA/T6ivIfib4rudb8RTabC+zTrFzFHGnCuw4LEfy9qx/Ceu3eg6zb3MLkpvCyxluHU8YoFdnu24b0HG9jtX615/43+IcunahLpei7BJEds9y67iX7gZrr9Rujb63Zog4YSOvuQuRXz/L5tzdySS5MkjliT3OaAPSvB3ju71LUYtO1XZI0pIiuAu07uykCt/VblrS4kmX7ywuB+OBXmXhzTZX1/T1QHf56tx7HNen63bG9llhT78kL7B7jkUAcH8StQkl1m30lPlt7GBBs7biM5/LArkLeB2O5Wxjv6V3PjPR3v7q28QQBmtbuFBM2P8AVyKMbT6dKb4Y8Mtq19FujaOyj5mkI4+n1NAHepcyCbw7NMeJJI/Mz3OyvHNUs5j4i1GOQHzFupN2f9417nqOnre2XkqfLK4MTDrGR0NYl7oNrrVx9ovY5bS/4WV4gGSXH8VMGcf4I8Ovd63DeYH2a1cM5z3AyP1xXa6vYwyXk0VydtrqcH2ZpP7smcoa1dL0q10m2MNojANgu7/earM9vHdJ5MsYkVv4SM5oA8vtfBmpWt2bQ2uX7y/w49c16FomkRaPpi20REjbizvj7zVNbwtD+7hguJYl7rllH4mr24bQcY+tAGDcaX5bTIYo57O4bdJbvxtb++h9asaVo9hpxeSztvLkfhnY7mx6ZrVuZba0sJrm8mWGCJN8sp/hHpXA2/xL0L+0BEtheRRM2PtLSZ49StAHUalhdRtPaQCrVzayzSosMKySMu7DcAD1J7VR1OVTdWcisGjLq24dCvWud8e+K5rbw3a29mxin1XdJI6nkRA7QPx/pQB1tnIkkkkKXFnK8f30gkyy/WtO0WN5VR2Csxwueg9/wGa+b9Lv7jT9RhuraRkljfcGH8q9zub2ZbmF4ujWck6j32g0IDkfFfxB+y6zNZaNbQGKF9rzSrvZ2HWui8N+JV1zSJLl0Ec8PEiL93p1FeNRWstxIzkMSxyW969E8C6ZOljqEhBVZU8tfTOKYir8StcuZbLTdNWQiOWI3E2P4iTgVy/hK5nsvEVjImcNKEPuDwa6Hxbpc17b6XqCIxijg+zzjvG6seDUvg/w/wCfqMd48ZEMJyM927AUhnpu7djFOHrUQ5PtT+opiMfVT/xNLX/fT+dbnSsXV9sVzBO2dqEE4Ge9aSTpcf6hw4buDSGPIMkmwfjSyEJ8q04kRKFTr3NQE8+9AC5zinY4picnpxVyytvtEpZh+7X9fagDI1fw/f6pDA9tqzWDxndtEed31OaqRy/EnSuIbyDU4F6KZQSR9HruSoP0qNoskYqbhZHKw/F7VNGZY9c0KaAA/M67l/xFay/ETwJrqbr+zjaQ95LYN/48vNaLwFgVJDKeoIyDWPe+FtEvsm50m2Zm/jRNjfpT5gsa0Gj+EdY+bSNQms5P+nW5Ix+D1M/h3xDYqf7P8S/aAekV9Fjd/wACFcRcfDnSwN1jfXtk/b95vUfgahj0HxtpILaX4hSeNeiSMy/zyKakKx2aap4t0+VvtWgRzber2knP9DQnj7S55fJ1BLm2lB6TRA4/EjNczb+OvH+lSj+0tDN3Cv8AHHGGz+K1qw/F/QLnEGs6b5Lk4ZZUDAfgwqriOst/EGnXiGOPUAyt0BbA/Jsirv2a2iTzhAnPPmRgp+qH+lctE3w819d8bW8Dt/zyZoW/Tir8HhBdu7w/4hvIlHYusyfpzTEaCxxXblkuZ3P911Wb+eGqcNLG3kxGPn+AStEf++XytZEth4xsl5fTdUA7H92//j3+NVn8Q39gjDVfD2o2yfxSRjzE/qKANS+0TTZIw+o6Ojsf+WrW44/4HGf6VQg8MWzEyaRqN/aY6C1u/MA/4A+DTLTxlot0+yHUhBID92UGM/p/hWp/a0NwpAa1uWHrsb9eDSCxnsPE1s2yLWrO8K9I9RhMT/n0q3/a+v2sW/UvDBkXH+tsJw9XkMAUHMkW4fdWUgfk+RQib8vBdqmO7R7f/HkP9KYjJj8beHLyX7Nf/aLeY8bbyDNaCw+HXUMr6fg/7w/SppFvLhdkkMF8n/AJf0bBrPfQ9Ndy0mg2wc9R9lkH6A4oAkxuGTSj86Q9Kdxj6d6zNBRg04ACofN+baEJP0pyyEjBFAE3A4oJApgbBPenZBzRcB+7jvSDmm85pQc5oAlUEUEc0xTjBpx55zTACDmlVvm9BTcn04pN+e1AE+/rxUTMCcfrTCajMnY0APOFpm8EZycU1nJPApu45pASh1NIfmGaiDHNLuyfvDFIY4kZ4FIcn2qGQ89Tin5UdAaAEK800QYPtT/MIb2p27pQBGsOB7VE3yhgO9TPuGM0wckfLk0BYq7M5xSoNmeeKmaLJJyPzphUAHnJoEO3ndk4+tDMc8njtUZIK9P0oWVjxyMeooAeM+9JjDHGKcWJ6mkPOPSgCMfhT1XceeaNmT04pBwe9AEpiC9AajZeD09KRmPHpSFiRjtQBGwOeASfap7Y3Mz5DB9vGHHFQglWB561qiVLYKxaMBuTtrixbko6I1pJPciuBdRhQEQL/HJswAPqasBZvKBUqfc//Wo+0pcOsSNvVuWx6U2WGSSQ/wClsoP8IFeS07KMtDqVugxY1Y/OFUdOWPX60qREMyZbK+vSpxCIyu5/MY9MqKkmGOePzrFzd7FGfKJYzwoK+npWTLGyyFmXGat3WoySKY0+XB+8hqkS7n94xyP71ezhYTirs5qkk9BjAYqFj09amZBnIPFRsnHXNd62MCPrR0PSnFQpzwaeApAOKAIyOtNaPNT84IzwabjJIA6/pQIgMZKnpUToRzt4NW5S7tudyxqJkzQBTYcdCKjaM47gVc28AUwrTAouhOOKicYAAQ/SrpOS3HTvTPLyORRYDPKMc8cVG6E9q0Vj5II4prKu7AFIDIeFyvT/ABqtLbswz3J9K2nQEEcY9ahaNQABjNMDBktZRnKjFU5IGbjYa6hrdWycDJqN7RWOSVoA5SSzOOen0qu9p14NdZLZqRgduuRVKWBUBFKyGcy9qM/OD+FVHtME4rppbZc4AyD3qnJbLzilYDnSjIelN3fMMjArYnhUk9TVKW3G0nvQMrKwFI53Ujxsp5pgcg+1ADlLL91yPrzSiZwPnTj1FIHDUHg8GgCVGRjwcmu18Pa39riFncN+/QfK398f41wbYPWljnlhdXjc7lPBzyKVgPWj096TNYuga6mq2xjkwl0n3lz973Fau7sfzoAswTGGUOOnceta6MjoHQ5B6Vg9c1asrryH2N9xjznt70IDUIpeg6Up5ORSdc1QDWGRUZ7jtUoGeaGX5aAKroCDmqUySQTfaYBl8YdP+eg9Pr6GtPaAeRUbxhl6UkA2GeO5hWWE5U/mD6GpAcVlypLZTNcwqWB/1sY/jHt/tVpRSpNEssbBkYZBpgSAZX2qNl29enrTg2DTshhgjihiEVgeDUmPWoWATkdvXtUqvvX0b0oQ7Ed2MwGq2hyJ9jt4Wcqzb2J9EB5/PpVi7/1B+lczDcSJp+qLGT5i6XKyevU5piZzHjH4i32oXstlpMxtbCNtoeE7Wlx3z2X0FHgfxlfprEOnajdSXNpcNs/etuaNz0IJ9+1cLDCWYAdTXW+F9FM2t23lkNsmQk/T5if0qhHr0d2E1vT7ds+X+8mb32rXz7q99Pq2tXl9OxaSeZmJ/GvctRmNnqWm6oV/c28xWfHaNxtJ/DivMdX8IzaRrNxFMS0O8vC6qSroeRzSAxdDiuI9Xs5bfPnCZCn13V7lqLeR4u0i4kwIzceW/szL/jXK+DfCxjuU1a9iKRQnMCNwXb1x6V12oWy6hC8UoJ3HdnPKnqGHuKAPD9V0m5h8Q6jbSo3mR3Dh2P1zW94W8Nf2pqccO3ESnfJJ/dANehXWmwaq0b6taeZdKNpuoTt8wf7S+v51p2Nla2Vv5VrAkUZ5PHJ+tMLMh1e3eaa3voELSWsokVB1dehX8q4W58H+feTXelNFLDK5bY5w0Z7rivSSeB61Wkt8THZAGfu/QD8aQGJ4b8NppbfaZiGuiuPZR7VflGdct/fd/I1oRyuCEdFXPdTkVnzEDW7c+5/kaAJWtEs5JZ45PKR+ZVOCje5B7+9T2t1bS4jSaPP91Rt/IVg+I/E8GhaQuoGNZ7mclLOF+ir/AHyP89q4Kz+JeuLerLdvHcW5b5ofLAwP9n0oA9mPUKO9ZutXtnotmLrULwW0TfcAGXf6D3onv08i2kjbKXJTYfZuf5V5D4/1iXWPFVyN5MNufJjXOQMdT+J/lTA9O0LxXpetTPDa3UjSrz5cybXI9R61vJcRrOyO2wBGd2/uooyf8+1eCeGpZbTXrGaLIYTqPwJwf516xq5mabVoI926TS5PLx+tAHnXiXxxqmu6i7W1zNaWEbYghicp8vqxHU12vgLxDd6vptzaX0jSzWwDLK33mQ9jXmljpr3ADFSE7cda9M8C6V9nW9vdu2ORREnvzk0WAy/iJqU7+FNMiEjbbu4lkfHcL0H6/pXmkUDna6jjNew654cOuaM2lIcXthK1xbq3HmxP2HvWHofgS8uZl+2xtaWyHL+YOWHotAG9YJI3hvRYpP8AWeTjn6kCuW8XaXPeaRoN2gPlwwNaTH/nm6v0Neg6mirc2iImxF2hVHRRmnT2PkTXMkQRopzmeCRdyOf73saYHlWg+F5NU1KKCLO3OZXI4Re5r1W/jeI21zbpva24EY/jTGCv5VYtYYoIfLggjgjbkpGMZqbqMEUgscV/wiFnNdGS0vBHbM27yinzp7V2NnaxWlrHBGCsca4XJyfxpwiRWLheakJ49qYGcdMMV1JLbSFRIcyJ1VvqKvQQ+UvOM+wxTmOB70oOR1pAIAOnanZximZOaMlnVR1NMRILKO6BZ+nSjZFap5cK496mMnlRhe9VHfPPekMRn60zGetGMUZ4o2DcliRpZAi/j7VtQGOKNUToKz7PYjYbO49TWpHCsn8XNc7rxvY1VGVrjg2e9LvFSNpsyxlhjFVnikjJyrA/SqU4slxaJuMdqXC47VWDN65p3metWSSmNCDlaj8kZJBxQJVpwYEZ/WgCJlkH3WNVbmziul23VtBcD0kjBrR4x0pCvNMDkLrwR4fuW3/YZLV/71tIU/Ss9/BFzA27SvEVzbsOgmGf1GK74ovPFBhRhRcVjioZ/iJo8YEd3HqiL0USbm/8erQtPirqWmFU1/QJ4Ezguisn+IromgXgKOfrTWgbbjqO4bmi4WK0XjrwR4iQx3nlgk/8vUCvj8RzUq+EfB2qtv0y5Ech6fYb4qf++GzVG+0HS75f9K0q3Y/30UKfzFc/c+AdKZjJZXd7ZS567tw/WnzCsde/hDXtMy2m+JXSMf8ALO/t9w/76X/Cq73XjKyZRJo9lqS/89bFxuP4cGuZt9N8a6MM6b4iWeMfwSMVP5HIon8feL9PkX+1dH81V/5aRRdfxWqUgszdk8bQ2bbdT06/06XpieL5f1H9auR+N9MaNSuoJtPT52H9azNO+K2j3zLFfwz27j+9hwPwOK6BdZ8ITqJSdFYtzmSyXcfrxTuItFvelDc881WDYPHWniQ5HrUFEwP5U4kgjHSowfxpNxNAEoboKdnHeoAd2Ofzp46n19aYE4IAyDTgynrUOcDrRnHWgCXcADnGKARjcOCfWo92R0oBJI4696AJCeR/KkL4znvTMHP+FNdSfunmgAZz36UwPxSHPOabsJOR9M0AL5nIzSklh/8AXpDEoHJyfWmBO3b1pASE5x0FN5P3aCi4poB6rlT34oAkzt4I5o6+v4VEMHklsing+gpDHbgBnFKGHrx701RnGQBTsAY/rQAhbI5O0Uw9O9OZRng8ilDHHIP5UARcleTx70wrk1MUz3yKcMDgr0oEQiPC54yKZjJ5Bx71ZK7RuHQ1GDlcYzQBFj0GBUirkZHUUZ3naOcUEYAAyfegCZRkc4qOQcdKDKwIBAzSMyseDgmgZHjIx0oAxkZp2OOlMzzjgUCAqCvWom49ae2cUxh/k0NXGS2TpFcgvGXXvj+H3rSNsgmzDL95crv6n2rNgvGtt2NgJq/b3yFELSIjBvuBe1eZiozT5kjem1sNEdxyMyrIGwxXG3/GrDR27qgn2v8A7xyaWWYBhNG2T0YDutPubS3vNm75iPun1rz2+azlobbbFGeC0EivBb+ah4fyzUV01o0WxEeJu26PpV2V5bBN4R5EA5Bb7tVLtJb+JZlhkVuxLjaRWtNttNvTuS1poZMihWyj7ge+MUzcFwcYp7BkYqwwRSE7jjivbjscj3Gbeo7Gm49Pypx46cGlByMHGaoBoR9xxkimEcf41IO+OacIsj5hQIhKnOR+VGMjpUrrgU0EHj+VMZEUBx/WmlOvPNS9W6UhIBxRcRXIBOO9RuOD8ufxqcgbjTCvB6k+ooArEEnOOtMMdTsCehzSKEwc0AVTEF6AVEycn5eavME9s1C5AOOKAKpUKAcHPsKi+YHcowferTgHq1VmXOW3c0XAifLdTnHpULw8561YAPzVBJuAOFJoApyR8kc5qtJAm35iKvt5xGccVXeFpcjAx3ouBkyxAk44qnNCB1HvW79jJPPSoZLP5TQO5zckYORjNVJLcljgV0z2nH3KrSwYBytKwHNvCwNRlT6VvSQgA9KoTQdcUAZ+SRQeSKlaEqT2qIhh0oAlgnmtZkmhcpIpyGFd/o+tRarbc4S4X76f1Fedhvapre5ktp0mgcrIvIIoGeoBsZp4bIzWHpWtxalDg4jnX7yf4VppJx2pWEbVhdhsQSNz/CfWtInAxnmuWRsHGT7GtmxvhMoifiQcZ9RTA0B0NBHFC8CkJFMY0r19KjxzUlIV+YUgIXTiswrNZSmW3AZGPzxE8N7j0NbBGRUDqCMEUANgniuYxLESV7jup9DUmOeuDWbNbSwTG5tmCyfxKfuyD0b/ABq3a3kd3GxUFJF+/G3Vf8R70ICfOQc02LazKrffXoaXPP8AjQUyQy/eFLqFwujiBlNYNpbyosF/DGZWhaWGWH/nrC2Nw+vcVv3Xz25fPG2qmgfPYyg9pmqkJnLP4CgZWm0e7jZHb5Y5RtZF9D9PpXTaB4eg0SB8MJLqQYeXHQf3V9q2PJQtnaM0/HFVcRDKgcYbFRW8UtsixxSHyV+4jc7fp6VZZQR70gGO9IBxZmbfIxY+9IFZ2wO/6UpXdVO8uDG0FunW4lEf4d/0oAdrF1p+k2QvtSv2trXOE2jLyn2FZuh+KNC1u9Nrp19dC4P3IrtAN/8Aun/69eYfETV59X8YXaOxMNm3kRL2AHX8zXO2jzW88c8LlJI2DIw9aAufRks3lNGv3ZXcIvsa8s+I3jC5uNVl0WwmMNhbfu38tseYe4NeiarMw1PRJnGBJKhk9mZP8a8Q1WynPiHUIpFPnfaZN2f940AXPCmv3mkanbqkzfZXkAliJ+Qg8ZxXqWtM8LyPklljkOf+AmvNNC0GW/1a1to0yS25z/dUdTXq2oxrPqMcbL8khKfgRigDzH4hvJJqunwE/uorCPZ75yTXOQWbthtpJ7LXqWq+GE1aG1gmcRahYp5KM/3J4s8HPqKn0PwZ9luo7i9KERNuWJedx96YFmGyltPDGlmXdvtFikcY5x3/AENcH4l8OvbeI7mZvmt7lvOik7Nu5NeyNHvXB6HrVNNPWFdisDb5+WKQBlT6Z6UAzgfB3hvzr5b+aMiCA5TcP9Y3t7Cu4u7SU3EF7AV+0QZ+V/uuh6oavqNvA5x6U5IfMyWbCqMk/wAh9aLgc8PC+kXVwJUN5bpnJtRjaPYN6V0ccUcMaxwRJFEgwqL0Fc9rmvaVoM6JqOoTRTtyLe0UOVHvWppGr2OtWP2mwufOjB2tuXa6n3FAFmW1imZWkRSynKnuPxp2zgZJNS7eO9G2gDE1f/j5tv8AeH8605VJDY61na0MT23+8D+tbLKCSKAKiJhRSFcNmrO3jHamsoC9KAIAKU8CnYpp5piYhOaXIANMJx3qFpGc7E6/yoAc8nzYHLHtVqFRCu9zl6giURn1PcmnM276UtxhJIXYk0yg8Cm5yPemAhbJNTRWskxzsJWpbOzmmkRoovMAOTXXJHaQWiyGIxSd81y1qmlkbU42d2YlnamNDuB5/hNS+YUk28MR2A6VZLFySgKJ6nqar26K7nI4FedKdmdqRaSK5uIfPkmkVQOAr4yRVOS9uREwW4fbjGM1JNcFTsUfKPaqmSI2Y/xdKfPewuQAGwKcGxSBuBzzThjGT1r1lsjz3uHymlC8cMaOCKUj2oEJukA9acJiPvCm5xSb+/aiwEyyow+9zUgOR61Tby2+tNCMuGWU+uKYF/6Uc/8A1qpCaUYGQw9aeLsjh0NAFrbkY6U5lXAG0A1WW6jPfFSb92NrikAjW8THlFpPswQkoxX2Bp+Sw6g0b8Dnmi4GXfaFZX3/AB82NvOfWSPn86yT4J0PJ/0Bx7LI2K6rf78+9Lk+g/OmIQAdKd0Ax1oVcD/Gn9BnHFUA1VyR0p4U8d6Ao7Gng4HekAzYN3HFPxgZzS4BpdvYdaYDRnNPA6c04RnHqad5Q4/xoAZ5dKqkdelOCMHJJ+X0xT/unHrQA0J19aYRgc81OF9DSEUAQbaMZ6VIQM8CoyvfOBSYDCODjFJ09xTyoIznB+tGwfWgCIOGOFqTfkBf4qjP3jzjmndvWkxjXIx049aQ8A4GDUivtBwOaQLkHPfvQBGoJp2zPenDKn7qke9P3nAwo/KgCErhvalIA6rj3pzyZxTA24+uKAHDaT70MMgg1GeBnoaVTxyRigQ8yBRg/NnrmmFVY5ycU8oBz1NNC4f5v54oGxgKpwoAFMLHceeKkaHg7Tk98UwRnA4oEMBBbkEUmcnrTmBHX8KXbjBI60AJkhajckvu6CnOeTUZ4HcUAPB4pp5PTNIjbhj04p2euaANOHT7d4wynfu5+YVd+yw7CvlJx221zpyOcn8DVmwa6knBjlcIpyxJyBXl4nDVLc3MdEJraxfu4lhtiAuxD95l/hqtbKxTyFmYleY8d/rWyUDEE85preXGQvQt7VwRr+7bqbOJQnn8yIBJVjwCHUgf1pNOjkXcxuElRj2OTVpreFZt3lIS3UHv71GLuFHKbwpB+7txQ25QaihdSpe2VtskKRl5T061ibSBhecV0ovoX3AqyD36n8KyrmNZWM0SSAHjCpmu3B1pR92ZnVhfVFHbnryaPJBXocVMUbcQy7XFL93r0r1E7nNsQCPLcDBA9aCGJ5yRUrHPsKYWwOeaYDBHkd81G0TZ9vXNWCd68GovmBO7mgCIxtnk8U0qeMjmrBTHuaTGOetAFVlP93BqPGGyc1bPPbimFVIOaYFNiDnI+lMdcg45FXfKXgdqQxDGAKAM1oiwAU4NIAduCP0rQ8kK2ehqN4AWyaAKRjyOMCo2hAwGPNXzboOdv45oEK8gD9KAM5UH90kfSmmMgnJ2jrWp5ajrUTptyATg9aAMx4sZ3ComgV14yT61oFEJPWmNCByP0oAzjEueFWomi+XHH1rSaAgH/Gq32ZUJ2IE3dcd6AM6SLI7ZqlLbkHHY9a23iXoSaheIHPyn6UBc52e1z0FUJLcqT8p4rpprf2qo0G08opx2oA5xrdfTGagltsY9K35LUHOetVZLc7cYGB3ApDMF7cjJHT2qsVIPetx7Y5NVpLXnJWgDPgmlt5VkjYq69CK7LSNbivkEUuI7kdv730rk5LUg1DteNgRkMOhFAHpQkxipEl2MGU4KnIrlNK1/eVgvDhugk7H610CyZ+lAHVWF6t3HtY/vR19/ereMfWuPjnMbh0JVh3ro7C/jvEG7AmXqPX6UDLZ4NGaUfNSsAO+aEIQ81EQKlHK01himMhZciqFzaEsJI2Mcq/ddeo/+tWpgU1o6QFG3vhIwiuE8qboD/A/0/wAKvqCG4qpNaBwflBB6g02I3MEYiTMmOAX5Zf8AGi4WLU4IgcdsZqpoAxZzf9djU0kzMuJPlBGDmmaFj7PcDrtlx+lEWJmqBmndaAOgoPBqhDStGOPel3Y+lLtBoAYOetZurloGs7xVJFtcJI+P7ucE/lWntIY0NGHUhhkHgg0IZ434y8PT2Xi+/wB67ILiUzwuejqeeP5VZ8JeGW1nVow+PsULbpnxwP8AZ+pr1RLNPs620sMNxbJ9yOdN+z/dPpVgIkUaxQxRxRjpHGu0UxWINStl1C3kjJ2FseW4HKEfdI+lc9qHhqHV5xNMptLwY8x0QMsnvXVonzZqQJzkjikBlaRoVnpMO23j/esMSSn7z/8A1vaorsY1e2/66CtzHNYt8Mavbf8AXRaANN0DZBGaFAHahx81IiuWoAcSAOOTQV3dfyqQLjtS4NMBmzArPuNQNtqAQ52RwyTt/wABH/6608e1YuqQqupQzSkLBPE9o7f3S/3f8KAPB7+8n1TUZ7+clpbhy5/Gu8+Fhnh1i7hcHy5Lfn0yDx/Wsk+GZtMu2tp4y8ynAAXr9K9G8IaC2lW73M0RjuJuNp6qtMDpwPlpMZ/+vUm07g1OCfnSAwtbGJbf8P51quCWNZ2upiSH2/xrUdfmOOhoAhj6c0pWnRIAG65zUgTigCsU4NRMMA1ccKg5PPpVWVGf73A9KAKb7pDhOnrTlQIoAFTFMDjp6Um0496QDMfnQeKfjHWmOcmmA0k4qWxsJr+cQwc+rVYsNLe9O+TMdsOsn972FdRbRpaW/l2sflRkdSPmNc1euo6G1OnfUSAJpsS2+EabHJU8fjTHbf8API28/wAqilXZ93vzQANuDgZrzZVHI7IwsOyCv3aiSMRk46GpQMj1xQSpH0rMvYqlQWI4pk0fysw4FTSsB9TVYzb2dewFVHcG9CsnzYJ61IM7gAaAAFx1xQTjPFe0tkeW9x5HpwDRuNM3cdKQn1zTAkz8vIppZRTAxzjnb60pOD7UCBsrg+tNBAJGOtKNuCKXaCOtAxVPHXp7U/Lfdbj/AD1pu3HHQ+9NCsCTnr60CHso3/eD++KQxRhdytg+gNNJNODHGcn8KBiAyBsBzj3p3nmPHmD8aCxYliSSaCxZQOcClcQqzI38VO3D1qAxow5Tmo/LH/TT86ANMEkkU4BSec4FMEbDFSgZOD0FUALtBBCtTwcBuBSgdMDigrkdAD6UAOGeoOfenBienFRjK9elSBuM0wHgce9KrZGduPpUYfmnByOOfxpAPLYpQR6jNRkg0gLZ6UwJi+KQvnNMAyc9DTGODQA5iAB60m7HUZpp4PvTME9zn3pMB+T68Uh79xTDuXvmm54HHFAIXAI6UYGRzikYnaKYTk5XhqQyxuA9KM/LwKrglm5bj1peQcihgTkFhxwKYcqvHSgMQvUr+FNzwdz5+tIBgIJ60oAbimcAZ756Uqv8xCjFMBWTHIzj3oCsF47d6l3fLk9ajOMZ4J9M0AKJMdMmlJBXI5qMIZG/2aNjBsBh9aBD8kjjrSlCy98gUoGVxkD6UEYAOenrQMjKHacjFNC57YqberEfPSMuPUmgViBkwOn41Ewzn+lWj82cqM9OlRFQCc/hQBAoO7GOKDknHFSAnd0prL27mgBFXjnNXtP+WRmAyuOVrPAGfmJCmtSO2iYLJbyMCPWubEySjZ9TSmrs0GnWNB8rH2UVXikuyFM0JCnhiWwPyp8Kvt+7n1OeacfMjyF+YmvFainZI6dRtxbs7xhJZI1A6LVOayEUQmh3O6n5267vWr0crYKyLtb0Ap4JSXgDGKn21SnoPlTKh8p4A8Uyru6Ov8qY0MkcTbpmBPfpU0LeSzRRJuTdn5v4f8akLwxAb3XLdQzCn7ZhymRd2qLGWiPI5b5utUQ/HTNdBPYJKwIyBnJA71i3sJtbhkYfKT8uK9PB4iMvcvqYVIdSID+6fwoBx97g0hZR16jjFNLDOPWvQMCQDb0pN2c9KhyRxjIPpQJMLjZznrzQBIX2n7uaYZeeRx700uCwwv60u3dg8UwFG0ng4z2pjnaec0uxiOlDI2D60ARhxu9BTDMP7pxUpQgc01oyTyOlAEfmE9M5FKD2/nSFHA5FMeMIg2E5PWgZISueMg+9Nx0ziohGdxJ+alKkgUCB3+bAGRUZGT0walKkH5cg0zym3DJGD3oAhbf2WmMjAVZxszzkf7tNIHJyTQBTZW21Dtz/AA1cKfN1OajIANAFN15+7TGj3Vc2krzimOucgCgCg8e4dOageDn8avOueuAaidAvUgfjQBnS2uQSRzVSS1wO1a5C8EmmvEpHFAGE9shH3TVWS354BxW88Cls54qGa32D+E554oA514Dk+lV5IACQ3Wt6SIfjVOW3JJ6UAYMltxntVzT9WmssRTZkg/VankiwMECqssXqKVhnV2ki3UImhYSR+o7fWte3RAUeNtrdq89sbu40u6E1s/8AvIejD0NdzpGpWWsKFgdYLzq1tIcZ/wBw96LAdHBc5wsvDdj61ZzxWWhKkxyLz/dapo7jy8JJ93sx7fWmBdH6UpFIjbh1p3ahAMxzTutBPOO1LQAm2gLg+9PpwGccUICrcReYuCPxqpplu9ldzd4JuSf7rj/GtUpmmGHB+U4oAmwc8jBpT3p63KSELcrtbH+sjHX6ipGtyEDoVkQ/xJz+fpTArAZpwGKXyyKcoyOetAhuKAOKk25pRHgUANUYpQuTzT1WnpFRYaEVQKdtyKcV2800hnGFGB60WEIcAHpmsLURnVLc9/MWt8IAeeTWNqwxqFuf+mi/zpgavkgHpzShQKnI5OaYQR0HNADNtGOTTm+79aRFKKB1PrQAgBOfSori2S4haORFdWHIYZFWQCKQjNAGfFaNAFQOzKvC7/mK+2auBOcjpUmzFKBg9KAEQZB9KfgCnDgUoXJoQGLrcW9oj6D+tapjqK8QTAoQcdiKnjZjEoIy4HNAEYjCE54FNOW4QY96m2FmG7mlKYoAreWBz1PrUTR9c9KtsuKifpwOaQFQx5PQ0hTAqyqE5zTvKZiFVSzHoB1JouBnuuF5q3pumvdTKZIyU7L03fU+lb9j4bVVE95yf+eY/hqeTULeLVYrRBhsenFc1atZWibU6d3qSi3EUY3YyOAB91foKYfSrFw/7vYvWqrgrHx1rzZ6vU64aEE6naeOaqMzfKBVxVYwnf8AeqvjawqUi7j0VgnXmo5T5a7u9S7xUFwdxI9uKaQFf/j4RGBpk0BQEg4wKniO2ML0I9KbMf3LHIz7mmtwexT6DjrSkkAdqiEuVxnn1oUEEHOa9hbHmvckOFOSeB0NG8McgcetRu2e1LuHFMViTJAOOlIOvWmgg8Z5p5X3GKAD72fWnfMBjH40xSM80/cN2aAGjdkk85/SgGnlsY44qMgZ680wHbwO9IZAMcUm0FTSEUgHh8ZNBOR1zTen0o3EUAKGozTC6MOePagHjqKANfg4A6CnggdKhHTORT9rbgP5mqESg0hOahMh47jvTtxyOSBQBJuxn5qTeSCVUlR/dGRQMg47+tPAPPP4UAIoJ5wQPenDqBn8aXjBz260gXOf5UAOx7nNORdoyDTQDSg4HtTAdikPP0ppYnNNLk+3egBxOMdKiL5NKfm+tCxkkk9KQERye+PrTNuSRuNWSihTkZFN2LyR0oApTxXcksXk3KxxhsyZTLP7Z7VYCcHPWptnA4/OmkY7jNIYzaMjoaC+MYP5UuNuSAKaFAwcY9KAH7xwW60kgXbmkGc9DT15HIGaAIiu7A4xnpSGNgu3AA9qsBNwyOopGOFORk0CIBgEBdx+lSKeBmm7kyflKntTQrj5h09aAJA6qeDzTWA/hHJpwC7Rgf8A16QsVwcCgY4E46gH1pRlgcimlgUzjpSK20rt+6aAH7NuMUbscGgF36dO9IVzjigBD83fimvjgBaUqVPGPyppiB5yM/yoERMuG64BphUFiecVKY2LE8051A69aBlUx856VPb3Jt12AHk9euKQqWHSm+Tl1Qnljis6kIzVpDi2nobFrci4UB4yhx128GrUijYQj7D6gZqjaw3SfK7KF6AEZq6FKgfM5PsK8CvCKnodcW2gDeZ8rckf3hio2tlEgfb83uKWaJZVBeMkjkHoVpYVUr8rD5e2c/nWHT3SiMYyd2VP+wKJIIpCPNRZMDgkVI7OgYncxJ4A6iq6sWYpvLOO9OEb+QNlhw6KoTaMDHrWRqH70KrkvKPu4XoK1VVwgyAfoaiKbSNp2nNbUG6crikrqxzZhBbcOAKUqATuIye1Xr638qfK/db5uaqFMjkDHtXv05qcVJHHKNnYaGhGBub6YpwMQU5RifXNMKF+CSSPWjyyp4P4VpsSIUQnOePWlAVTwDRjB5XilIGew9aAASpnBGPeggHnFRlMAd/al3bV64ApAOJ+bsKaW+bHamiVWYbWyPpTmbJ5HPWgBNwJ96jcbjgfhQWz2pBkYG7JPtQMYVGPu0wId2TVgrgcZz3pjqAOOlAhvAPNNZe4JFPIxx0FMIOOvNMCKQZIOPzqMrtJwPmqxjPWk24HJoArEHocZppTJ649asFM9MUmxhjPJoAqmPBIJz9aiMXzZxgVcK49KZhSe2KAKZTOPlH5VE0OQflwtXSe3AqMr83+zQBntGB06UwwuVYjbgdeavOq5yKhK9M0AVcKqnINVnh3An+taDqPzqErgllP4UAZs1rtc9Se/NVHh29M1sbcj3qCVBtz60AYskXHSqsluD1Ga23h6Y4NVpIefpQBgvb47VA0TKQRxtPGO1bzwEnGM1ZtvCWr6kAbexkKk/eYbR+tADdL8XzQqtvq0Zu4V4EwOJV/+KrporiDUrNpdPlW5QdR0dfqtYz/AA+vLWLzb+6ggycBIz5jmnaVo2g2N5FPJrtzDNu+UhfLH03UXsOxettaW1k8qXOwdj95a6GKdJ4w8bBkPQioNU8N2+rQB1fbJj5J4+c/WuEubrWvBtyPtab7Z24kXlH/AMDSsM9GAp+KyNE1+z1yHfbP+8X70R6itkDNNbCADFOC8+1PUUpGCKAEA5pSnengZp4WgCDy8ninxh4nDoxRh3U81JjBp23pQA4XOVxNEsg/vDhqXZC5/cv/AMAf5TTNo9KTywaYEhQr1BH1phGO2BTkaSMbVcgenapBIhGHiU+6/LQIYBgc8U/PGFGTUg8hv4nT6jNSpCH+46N+OKYEITP3sUpHHFTNC6nBWmlAo9qAIgtYusR/6Vbkf89F/nW83FZ98hlTKfeVqQF5l+Y/WkIp8brNCsq/dan+WfTn0pgVwuKXAzU/lMfrUflsOtFgGgUmPyp5Kg8mjcmOM0AN25oxzSgs54FP8hm+9QBESoPXmlUk9OAamECIPWnIBuzjigCMRE9uKeIcDpzVgDIpT6UAVCm0+9N2bjip2HzU4J0460AUyKRYd3bj1q1JCFA9O9Pgtpr1A0I2QZx5p/i/3RUyaW40rlWO1mnk8m3TzJD+Q+proNL01LOMvIFadur/AN32FTwRJY26xBRHu+9g5LH3PepUYsCB0WuWpWvojWMBSQVwQMVimwifUmuCgLr0atWR8KM81FGAqs+Msetc0nc2joVfvORzmmsMKSTUhlWU7IQzynnagzVhdNvpU5iRDj+N/wDCs1SlLZF86RjTzYGBwRVPziSO31rL8T6V8Ql3/wBm2GnvCORJDIXkx/uvgflXmV3H4yuZmivru5tmHBUny62hhZvcl14rY9Zu9XsdOUvfXkECertiuS1L4maNCxSzE124/urtX8zXHweDWmbzLy5aRz1bO41tWnhiwt/+WRkP+1W0cLFbszlXk9i1bePbi+OPs5gz/dG79TW1b3b3qBpC7Dr89UYLNIAAkaIP9kYq9GNoNbRpwjsjNzky+pp4bjAHFVo5eOOakD/UCtCCU8/WnD/OKizSjHTnFAEnOAc8DtS7jnOcUzPHqPejp/8AXoESB/zpwPGQRUQzRnIyM0ATbsCmtKo65qMMQPWjcePWgB6yqfWlJVhwxzUZKsuBTVAoAmJPdqYSw78UmSMnIAFHTGaADJNGR/dNJkjvS5+lAGv5bL1qXaEHOPxFM8xlHX5vfpQzsSM4z7VQh2eO5py4b2NR7iDzxilUuf8AGgCVRwakxwKhGcDJpRxxzQBLuByBk0A5FMU5OAKdz6AUAB5xzTHTcDlzj2p2SSKO/WgBnIwufxpwwfr70FcGjy/TOfWgB6Hmn5z1PSmhcryMmnj0oAYOVOO9Iy5WpAQc+tBZB6YpARnKjPaowe2P0qbcN2M5pj8dDxQMbg454ppAweePWnZJwDjFM2rnGaAF3YpwJ5xjFMC4bJ6U4Mg60AOEmQduPcUmM52kA1GxXueM0hPHy59aACT7wHHHpSHcgDf/AKqQIQ2e9DtngD60CAOFJ9OhFBcDJUn8qYM4YHjiml+eKAJVkJpxlwo45qHqR2NSbeBmgBvmMGB6Z9qli+dySRTQo980cjqePWgZMwGDjJqLDY3Y5FK75OGbBppyf48mgBQQ3Y5+tD4LdckdBTHz1zmmsPlBIK+/rQIU7sn9aYzEHOckVGzhTj5gPek3gjHahoC/bXAZ8SOS3rurTWUA4O5R2btWPbiNl3MygjtirsU8W7ylHmE+gzXk4ugm7xR005dy+24qR2I+8PWkxtAymT7DFRiSRVwEREHTJz/KmZnlIH2jaf7qrivP5PM1JnAbqhUY5cniq6CKNseZgGrRjidCH+YHruOaRiCv7tFIHTHArPmWwylHi0m4Z/JkOMn7qt/9epJFeTKrtDdgTk0s8L3EJDsduPux8ZP1qvbmQrs2FHQfMw6tWyV1zdREVzb3LKEcbhngis7DICCOf5Vuus0xG6RlX/ZwCP8AGs7UbNbZVeJpGz94k816WEr2tCRhUh1KZZSp9fSm7tnU5prPkBf6UzHOTxXpGA9nXHbFKUOMg00Lj72MH0p0Z3YBpAIFI4NReWiv0PHrU2M8AYpChzjtTAYY1ONvH4UzawBBBNS/dAyDwaTGeB0pAQiLJ3AkGnLF78+9S5B4I4FB6H1pgRleBg80wqFJ71Jt9yCaQ8n7o3etICLBJ68UjdcDrU3l8Z4P0phI3DK0wICGC+9B5GTUxxkjGRTCM+lADNyhhxxTCFweoqVgAOlNAB+tAEWOATioygHQcVMVzk0zYe657UAV2XPA6UzqwGKtGLBHXH1pjRnI45oArDKE9geDz1qN0xnuKtMMrtOOvaoyvO4jNAFJowRkfrUTwkYOPp7VdePAx0qMrwN1AFJo8detPtbCS/u47aHYHc/LuOBUzrk56060V0uEkSURyLyDjNJ6DR0Vt8Opjze3ixkHlIkyfzrWt/AuiwYLW7zOOrSv/QVQsfF91p9w0d3GJrULuLD+H6jqv8veuwsNSsNVRXtZQSwztzz/AJ+lEZpjlBoo2+kWFpjyLWCP/cjFWWhUDFXni2k8VBIVjUl+BWhBxXjO1mitoL22i82aNtu31U9fx4rm7+ytLoExwqR1ZSvOfcV6FroR9LLqA6q479a5G5CGZcwsQowXxyv1rkr6SOiGqOMfSLqGYtplzcWkoP8ABIQv5USeIfE2nKU1jSI9RtSOZFjxke/au28kfKfUYyKkZJEgRo2Kup/h/i9qmNVoUoHlYHhq/n+1aXfzaDf5yElBMWfqOldTp/ia909FTX4AYTwupWp8yFv97HSu6u/B3h/xPFE9zYQq8keS0Xyup99v9a5XU/g5eacWufDutSQD/njJ0b2OOD+IreNRPcjlZ0MEsVzAk0EiSQt92RDkH8aeUzXl8lh438KXD3J0ohf4ntV/dt/vIOP5V0OgfEnS9QZbXUx/Z12OD5h/dsfr2/GrTTJsdmiknpT9lSIFeMSIQyN0ZeQacFOeadmIhIzQBUxiyc0hSgBuKTbmpNpHv9KMYHT8aQxoXpTgnHTmhCCamH50xEe3HbmjaBUmAadsz60DIgOeCR9KcRIVxk4+tSBccipAfcY96BFLyXPHP501oypK461ogZ5pjrkg0DKSRsgO3Iz6UqNcb2DFsdj61a2YpxTikBWO/PU0uzjnNSmMlqUoCKYEIQDtmnBQW6VJsB6UoH50AIFPGKfyaUDFBODTAQrkYpwUY5oBpepGKQCg4pwG6k28+1KZQjBeWY9FUZJ/CgQFBuqK6vbazCieVFZ/uJnlvpVyHSdVvjlVWyiPVpRuc/Re341o2/g7SIiXnhN3K33pJzuJoYzI8mCBVn1eaKJSRstt4/8AH/X6VbttR09roO92shA2okUbFV/IYrah8P6VA+9LCAHtlc1oJEka4RFUeijFZODe7K5kY3+sOUikfPT5DUkVlctuO1Uz2Y/4Vr4o6VKoR6h7RmUdIeTHm3JC+ka4/WrMemWqAAoXx/fOau0VapxXQXNJjI4o4lxHGiD/AGVxT8D0ozSZrS1iRNo/ujNQT2sFwpFxbxSr6SKGqzSFQetAHO3PgzQ7l9/2cwk/88X2j8qqP8P9KIPlz3Kn/eB/pXW4FL0pDOEn+HpBJt78ewkT/CqE/gjVYc7PKl/3Xx/OvSSelJj6UWC55LNoGp2+fMsZ+O6rn+VVGidGw25SOoIr12ee3tgWknSMDrubFY134l0NEJMsVwf7oXdQB5yAe5qVX/CtrU9a07UomS00uKKTtIevsflrGCsPfHU0rjsG7cOnNODDFMK5PTik2nFAMl3nAzzSA00DFKPpQIUE0uduPWk6dqXGR1oAToCQOaBnknrTs+9HBzQAmR1oJ4o6cY4pGABoAaHPpS5HvSBTS4oA3c7h04/Og4JOBgY9elRbuPenrnHoKdhCgqBnBJp2c+oFMKkZ/nUgjzjk4pgNwDjJz9KkQU4IFANLkD1oAUBcnHWjdztJpASe2KU5POaAHbsfSmnk+9Ieec0mOc9qAHqDnpUoAAHUmmKQFPJpCW3e1AEhOCP1pu7160mCysQD8vXjpTc4GQKQASc+wpuSTSjkZzTfvE8cUAL/AMCphG4gsTmnjr+tNJyx/wAaAEAHJ9Pel3eoGPrSkZP49qTCE7QSGNACbshtoY1EFJUAZ5p/luh6cetKAT0OTTAjCgHHr7U7C8jPsMUFfmyzUmSG+4PzpAGSvT8TSnaR6mlLHj5ajJ+YAjAoGOJIzzyR09ah9TjAqTAOcj/69I2Dx0UdKYiMnoRUoct/FgUzGR1waYQcEHp65pATo2T94fjSsAVyMD1xUaZwB396NzZHJ4psAztxzk1Iq7lBOMU0DJ3E05cqfXikAM3B54PpUZQMc1MV3c4UewpAiZOBmgCILkbabt29PzqZ9rN3zUDDHAyCT60AMIx3q7p8cbs28Fj25qmzKvykfrWrZIssfmDywf8AZHSubFS5aZpTXvFwRbscAAU8EbsjBOe1HkFk++yN/eFPSEoo6k/3vWvnpJdzsuCMjZx95eopQCV3cAduOlJtQHvk+lVxNEWZkz5mcYGeaI0nPYTdiZzhc7efYZquJd7yRoCHHUkUxr9IVbzshv7oyf1psd/bO+Sdje9aRw81F6C5kW3Qqi88io3g86F42Izj71OPlu4k2g+hqNnWVmCvyOoog5X0Huc5JGVkZWByvB4poXJPyn0rW1K0AxMh3H+LjpWcWwRgfrX0FCoqkLnHONmMCMrdDmngADjpSqSV9qTHfv8AWtiCQN8uKaVzn19KOoAHU0hIAwc59qQCEZ68HtTSNvTg+pp5wSOtNxweTketAEYAOck570uCMbKcBjOeTjvTux4NPcCIRkjrz70gQhuamCZyT096QjGeBQAwrzUezJqXIGR2ppbnGKNgItgX1owD6VLkNkAVDPCk0ZR920/3Tg0AMOSKQj5ec5qRUWNFRVwFGAM0pXIzQBAeFwe9IOc81KVB6/nTfLXHQGgCM8ioyuee9WNuB7U0oSaAKpUd8DFNC4PXirbRZPSmGIbSe9AFQxZ9jjuajKHnPTrVxiB1B+tQkZIPSgCuvlqTvQsNp6HHPaoGRWBU9DVt+eR2qB0wc4oGitE81tgI/mJ/ckJ4+jdRUttqIjm3wu1rOONrHGT7Y6/UYPvTSuMnpUUkSSRFXRWQ8YPNQ4plKbR2mk+M5I2W3vUd1A+82N3v0612VtcW+oQ+ZA4Za8QMbxpiFwI1XHkyZKfh3H8vatnQPF0ei6nC179phgzh32b1Hr8w/rTTkgdmeka7b50i4+XkYb8jXB5/09vMOEIyB29K9Niv9J8SaTK+nXkFxHLGQDG2SMj0rzy8t1V8AAliMZ7VlX1KpMigYNkg8Z6HtV0LuYZPB61k2lw8WpS2cqFEAV4ZD/F2I+oNaxIIJXH4Vy6mxsaFKkUckLfeVuD3Nbn2ksCvGR1rmtObMm0H5igY/wCfyrSw+3IbApSmwUS3NI2OVBT3rn9Y8M6PrSML3TbaQkfe8vDfn1rWeVioBbI7iiNfNxxgVKnJDsjjI/AU+iqJPDeuXFpk/wDHrdDz4fy6ipzqOp2DrHqumEDvc2Z82P8AEdVrs5YcLlW/WoljjTvzW0cRJEOmmYUN3Dcx77eVJB/sHOKmU7hzxVqXSLK4fzniCyj+NPlYfiKrnSriPP2WcyKOdsv+NdEa8XuZOmxO44zShelVXkuIAxnhkUjvH81SJeoVGHDZ6jvWqkmRysmxzinDj6VGrYAbtUocFR0qgF3Y4NKCAvvSrg84p20E0ACrxxShN30oGQakUYoAaOgHalKk9KlCD0FD/WgCFkIxShCaftzzSthV5oAjK8U0jNOBzk9qaxAFABnApKZ5u5hjpSknHyjJPpQId0FMZsZq3b6Xf3IyluVX1f5avR+GJmbM9wFHogoAxhIBgtwKt20E1022CF398YA/Gugt9EsbbBEAdh/FJ81aAXaoA6elOwGTbaECM3b5yPuR9PzrXgtYLZQsMSpj0HNHSgk9jSAmoqEZ/vGl5HegCXPvSZqMYH1pRgmgBSxGe1AfgZ4zSfNioJZD/DNGvscUAWC20fM6imb34yePYVkTajpcbbbm6iLD0fP8qrv4l0S2bC3Lk5xhEP8AWjQDoBIemM/jQZ0DbTkfhXIXPjrTYwogtpZGYgAyfKMn86wL34gxgjzLmytVIz1Bb9T/AEpXQ1FnqIdSOCKja4RPvsF+pxXhtz8V4omKDUriXB/5d04x39K5q/8AiPc3cu6G0kdiPvyyZOfX/JqXNFqmz6HuvEel2mQ9yHYdRH838qx7nx3ZxlvKt5HCjJZmAH9TXz/LrXiXVGHlKLdOMbE6Y/3qfb+FNd1TAubi4ZDzyxI/XiodZItUWetX/wASzbHdJeWdupJXHBI4z68/lXFap8Wp7pjHA17OP9n92vvUOn/DWJMG5cCumtPB2l6epcwj5c5Z8IOPrWTrN7FqjFbnEv4l8Q6q+LWzSJWzy4LH+laum6V4nnlE093t5zymBW7N4i0HS28q2/0ufIBisY9+PXLdKoTeJtenbFnp9taR9N9w+9z/AMBHFCjUmPmpwOig0/y7ctdyeYVGT5Q5qvdxrBcGNCCB3zmueX+2J5xNdarMwxjyoRsT3461pRs4A3c+9awg4mE58xZDEU/eCfeoVdSw3KcelPDccVoQS5pduOlRqfyp6nnigBdtH4UvNKBkUAINm09jTcA4GcEU/wAscnPNKsfPagCPaT9KULUuz8KNu09aAGAdOKdg+lPC+gowaAL4BGOnSnq/r+lFFUxDwAWAPU0/OMgdqKKADdkZ6U7bjrRRQA3+KmvNjgDmiigBQ2Uz60FyFzRRQAquakJ2/jRRSAaTyMZyaTdtOO9FFADsjnB7c8UmcL3xRRQAnBHTmkZQF3d80UUAAy2RTc/KCPXvRRQA4HemOR7UFcd6KKAI32BgSmSfelaNQobvRRQA0kttXPFKV5GaKKAAfd5A596MYwQBzRRQMQLuOOg/lTCoVznmiigQowWGABxTlTeC2elFFNgOACdOfY0/PGcY55oopAHUChkC8jr60UUARPkr/u1EQOMjJNFFAEPG/BH0rW05lktmQg7kOc+uaKK5cX/DNKW5oxYGepB/SpHYAck4HPFFFeFUXvHUihM1xOp2siITjAJzTo9PMa4eTORkhRgGiiu2Pu09CHuXHRJEEbxI8YHCt0FZNzZxQxvMFGN+0JjiiiohUktEwaRKiPDISGxEDt2A1bDBjt54GetFFTX+IcQaJXUhiTuHNc7JAEkZQeQaKK6sC3zNGdYZgAgDNOQAnB6CiivVOceiAkE8gdqcI90mA2Me1FFADATuLcZ7VGAdxIJ96KKAFK8bj0pWJwAO/WiigBuDnqcUhYg0UUgEPqOopFAJJGQRRRTABkjP60pU9zRRSAaQCec0xgBweSKKKYCbRu4J/KkbAPT8aKKAGlRt3ED86YX3HGOaKKAGnIPJppXJxRRQBFt3HA4x1proB0oooAjKDGffFMChgT6UUUARNGvNRmMDjpiiigZCFwG9zTCnOOOmPwoopAVDYiC8+1WMslncjkywNt3euR3rsppvMt45GGSWwaKKxrdDSBVfc6+VIxY5BB9Ktw8IAMduaKK5maomsbk214CFzuDL/WtwyscEYANFFRMqJGyHz8FuRzTkRiCN5BJB4oorMstKq7B97I96hH+t2/nRRSEWI1XAQirCIAOKKKtEsNqspyox6VQubC3uAd0KZxnp+tFFUm09BGVc6TJ8vkXssOexAkU/geR+Brm9a1nUvDAMl1b2l1bf3onaN/8Avkgj9aKK64SZlJIl0Xx5peqIAlveRt6Mqkf+hV11uouI96dP9qiiulbGTJCmzHNNjjBZjuNFFAiUDmkccUUUAMA9KjJMrBV/M0UUAX7fRbqYgebEoP1NXk8Lwk/vrmRz6KABRRQBdh0LToukG4/7ZJq7HbQQ/wCriRPovNFFAEpUdaNtFFADSMUmKKKYDcZNLiiihbgxePSq15fQ2Ue+VHI/2QKKKQI5u48YsrkQWa7QM5dufy/CsibxdqM21IZtjEk5CBeByfXtRRUSbKRh6l4yuYLXddT3T/Jv+VvcjGAR6Vxd78QrZZCsNnPJk5/eMFyvfPXmiipZaSM2b4hX75MVpDGd5JyzNn0BHA4rKn8Va3cbmF2IsqEPlKFJA569T65oopM0SRTkmvtScm4vJpmJyTJITz0q7beHS4y8yqDydoyaKKhlROj03wTBNgs6sp/vf4CursvCGn2o5G/6Db/KiiuWUnc6IxVjbsNMtySba3iUqPvNwePzqXUtQtNHQTSrNIoI+RFAB+XPPOevvRRWtOKMJyZhx+ItRu4zJZQ2tpEy43MDI5B59ue9ZtxYSX7t/aV1LekEkiVvl/75HFFFdcVocjbLUNrCkIVEVVXgBRip1t1GSOnpRRVAPVAKkCjHAoooAPLHXtQBgUUUAPAHpTwKKKQDgx79KASaKKAHKctTjxnFFFMACHPWkJCkDnmiikALyOp4qTZmiigD/9k=\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 41.6px; 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 20.8px; text-align: left; transform-origin: 384px 20.8px; 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=\"\"\u003eA tubesheet is a metal plate used to hold multiple tubes in place in a shell-and-tube heat exchanger. In any industrial plant, heat exchangers are used to transfer heat from one stream to another, such as for cooling or heating.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 104px; 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 52px; text-align: left; transform-origin: 384px 52px; 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=\"\"\u003eIn this problem, you are given the diameter D of a metal plate which is a perfect circle. We need to punch holes in this plate where the tubes can fit in. This is done by placing the plate on a 2-D coordinate system where the center of the circle lies in the origin. As seen in the figure below, the coordinate system can be imagined as being made of square cells.\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=\"\"\u003e \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; \"\u003eA hole can be punched in a square cell if and only if it lies completely inside the circular metal plate\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=\"\"\u003e. Can you help count the number of holes we can punch, given the plate's diameter?\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.8px; 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; perspective-origin: 384px 10.4px; text-align: left; transform-origin: 384px 10.4px; 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\u003cdiv style=\"block-size: 297px; 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 148.5px; text-align: left; transform-origin: 384px 148.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"557\" height=\"297\" style=\"vertical-align: middle;width: 557px;height: 297px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 41.6px; 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 20.8px; text-align: left; transform-origin: 384px 20.8px; 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=\"\"\u003eWrite a function that accepts a floating-point value, D. Output the maximum number of holes that can be punched on a plate of diameter D. You are ensured that 1 \u0026lt;= D \u0026lt;= 50.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.8px; 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; perspective-origin: 384px 10.4px; text-align: left; transform-origin: 384px 10.4px; 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=\"\"\u003eIn the examples above, we can see that we can punch 16 holes when D = 6, and 60 holes when D = 10.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = tubesheet(D)\r\n y = D;\r\nend","test_suite":"%%\r\nassert(isequal(tubesheet(17.89),216))\r\n%%\r\nassert(isequal(tubesheet(17.88),208))\r\n%%\r\nassert(isequal(tubesheet(7.82),32))\r\n%%\r\nassert(isequal(tubesheet(12.32),96))\r\n%%\r\nassert(isequal(tubesheet(19.79),264))\r\n%%\r\nassert(isequal(tubesheet(19.99),268))\r\n%%\r\nassert(isequal(tubesheet(20.00),276))\r\n%%\r\nassert(isequal(tubesheet(6.33),24))\r\n%%\r\nassert(isequal(tubesheet(29.77),640))\r\n%%\r\nassert(isequal(tubesheet(11.18),76))\r\n%%\r\nassert(isequal(tubesheet(15.76),164))\r\n%%\r\nassert(isequal(tubesheet(24.08),392))\r\n%%\r\nassert(isequal(tubesheet(12.29),96))\r\n%%\r\nassert(isequal(tubesheet(42.37),1320))\r\n%%\r\nassert(isequal(tubesheet(10.54),68))\r\n%%\r\nassert(isequal(tubesheet(12.07),88))\r\n%%\r\nassert(isequal(tubesheet(9.36),52))\r\n%%\r\nassert(isequal(tubesheet(12.16),88))\r\n%%\r\nassert(isequal(tubesheet(22.35),340))\r\n%%\r\nassert(isequal(tubesheet(16.24),180))\r\n%%\r\nassert(isequal(tubesheet(46.25),1592))\r\n%%\r\nassert(isequal(tubesheet(22.08),332))\r\n%%\r\nassert(isequal(tubesheet(10.06),60))\r\n%%\r\nassert(isequal(tubesheet(45.34),1520))\r\n%%\r\nassert(isequal(tubesheet(49.01),1788))\r\n%%\r\nassert(isequal(tubesheet(22.50),356))\r\n%%\r\nassert(isequal(tubesheet(6.44),24))\r\n%%\r\nassert(isequal(tubesheet(13.65),120))\r\n%%\r\nassert(isequal(tubesheet(21.03),308))\r\n%%\r\nassert(isequal(tubesheet(30.15),656))\r\n%%\r\nassert(isequal(tubesheet(13.85),120))\r\n%%\r\nassert(isequal(tubesheet(30.54),680))\r\n%%\r\nassert(isequal(tubesheet(35.85),936))\r\n%%\r\nassert(isequal(tubesheet(11.87),88))\r\n%%\r\nassert(isequal(tubesheet(6.75),24))\r\n%%\r\nassert(isequal(tubesheet(15.54),156))\r\n%%\r\nassert(isequal(tubesheet(16.62),188))\r\n%%\r\nassert(isequal(tubesheet(21.78),332))\r\n%%\r\nassert(isequal(tubesheet(25.89),468))\r\n%%\r\nassert(isequal(tubesheet(5.19),12))\r\n%%\r\nassert(isequal(tubesheet(13.86),120))\r\n%%\r\nassert(isequal(tubesheet(40.25),1200))\r\n%%\r\nassert(isequal(tubesheet(2.43),0))\r\n%%\r\nassert(isequal(tubesheet(46.51),1600))\r\n%%\r\nassert(isequal(tubesheet(36.79),996))\r\n%%\r\nassert(isequal(tubesheet(24.94),440))\r\n%%\r\nassert(isequal(tubesheet(29.35),616))\r\n%%\r\nassert(isequal(tubesheet(12.63),96))\r\n%%\r\nassert(isequal(tubesheet(23.48),392))\r\n%%\r\nassert(isequal(tubesheet(48.19),1732))\r\n%%\r\nassert(isequal(tubesheet(27.79),548))\r\n%%\r\nassert(isequal(tubesheet(26.54),500))\r\n%%\r\nassert(isequal(tubesheet(12.35),96))\r\n%%\r\nassert(isequal(tubesheet(24.96),440))\r\n%%\r\nassert(isequal(tubesheet(31.58),716))\r\n%%\r\nassert(isequal(tubesheet(34.28),864))\r\n%%\r\nassert(isequal(tubesheet(20.38),284))\r\n%%\r\nassert(isequal(tubesheet(19.00),256))\r\n%%\r\nassert(isequal(tubesheet(49.41),1820))\r\n%%\r\nassert(isequal(tubesheet(2.85),4))\r\n%%\r\nassert(isequal(tubesheet(44.37),1460))\r\n%%\r\nassert(isequal(tubesheet(45.75),1560))\r\n%%\r\nassert(isequal(tubesheet(40.01),1176))\r\n%%\r\nassert(isequal(tubesheet(5.84),16))\r\n%%\r\nassert(isequal(tubesheet(13.83),120))\r\n%%\r\nassert(isequal(tubesheet(17.43),208))\r\n%%\r\nassert(isequal(tubesheet(34.31),864))\r\n%%\r\nassert(isequal(tubesheet(7.69),32))\r\n%%\r\nassert(isequal(tubesheet(36.34),968))\r\n%%\r\nassert(isequal(tubesheet(6.23),16))\r\n%%\r\nassert(isequal(tubesheet(33.03),796))\r\n%%\r\nassert(isequal(tubesheet(25.21),448))\r\n%%\r\nassert(isequal(tubesheet(39.17),1124))\r\n%%\r\nassert(isequal(tubesheet(36.04),936))\r\n%%\r\nassert(isequal(tubesheet(45.28),1520))\r\n%%\r\nassert(isequal(tubesheet(44.66),1476))\r\n%%\r\nassert(isequal(tubesheet(17.37),208))\r\n%%\r\nassert(isequal(tubesheet(35.24),904))\r\n%%\r\nassert(isequal(tubesheet(10.69),68))\r\n%%\r\nassert(isequal(tubesheet(2.50),0))\r\n%%\r\nassert(isequal(tubesheet(37.46),1028))\r\n%%\r\nassert(isequal(tubesheet(25.50),460))\r\n%%\r\nassert(isequal(tubesheet(24.52),432))\r\n%%\r\nassert(isequal(tubesheet(45.33),1520))\r\n%%\r\nassert(isequal(tubesheet(30.88),688))\r\n%%\r\nassert(isequal(tubesheet(31.27),708))\r\n%%\r\nassert(isequal(tubesheet(43.11),1380))\r\n%%\r\nassert(isequal(tubesheet(40.47),1208))\r\n%%\r\nassert(isequal(tubesheet(29.26),616))\r\n%%\r\nassert(isequal(tubesheet(9.96),52))\r\n%%\r\nassert(isequal(tubesheet(12.76),104))\r\n%%\r\nassert(isequal(tubesheet(44.44),1476))\r\n%%\r\nassert(isequal(tubesheet(2.41),0))\r\n%%\r\nassert(isequal(tubesheet(25.01),440))\r\n%%\r\nassert(isequal(tubesheet(9.23),52))\r\n%%\r\nassert(isequal(tubesheet(48.96),1788))\r\n%%\r\nassert(isequal(tubesheet(35.92),936))\r\n%%\r\nassert(isequal(tubesheet(25.52),460))\r\n%%\r\nassert(isequal(tubesheet(24.08),392))\r\n%%\r\nassert(isequal(tubesheet(3.92),4))\r\n%%\r\nassert(isequal(tubesheet(34.42),872))\r\n%%\r\nassert(isequal(tubesheet(3.08),4))\r\n%%\r\nassert(isequal(tubesheet(4.50),12))\r\n%%\r\nassert(isequal(tubesheet(26.56),500))\r\n%%\r\nassert(isequal(tubesheet(5.74),16))\r\n%%\r\nassert(isequal(tubesheet(41.09),1240))\r\n%%\r\nassert(isequal(tubesheet(41.06),1240))\r\n%%\r\nassert(isequal(tubesheet(36.40),968))\r\n","published":true,"deleted":false,"likes_count":4,"comments_count":3,"created_by":255320,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":63,"test_suite_updated_at":"2020-03-27T21:10:13.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-03-27T18:48:08.000Z","updated_at":"2026-03-31T14:25:24.000Z","published_at":"2020-03-27T20:39:34.000Z","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=\\\"center\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"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\u003eA tubesheet is a metal plate used to hold multiple tubes in place in a shell-and-tube heat exchanger. In any industrial plant, heat exchangers are used to transfer heat from one stream to another, such as for cooling or heating.\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 this problem, you are given the diameter D of a metal plate which is a perfect circle. We need to punch holes in this plate where the tubes can fit in. This is done by placing the plate on a 2-D coordinate system where the center of the circle lies in the origin. As seen in the figure below, the coordinate system can be imagined as being made of square cells.\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA hole can be punched in a square cell if and only if it lies completely inside the circular metal plate\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. Can you help count the number of holes we can punch, given the plate's diameter?\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\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=\\\"297\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"557\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"middle\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId2\\\"/\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\u003eWrite a function that accepts a floating-point value, D. Output the maximum number of holes that can be punched on a plate of diameter D. You are ensured that 1 \u0026lt;= D \u0026lt;= 50.\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 the examples above, we can see that we can punch 16 holes when D = 6, and 60 holes when D = 10.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.JPEG\",\"relationshipId\":\"rId1\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId2\"}]},{\"partUri\":\"/media/image1.JPEG\",\"contentType\":\"image/JPEG\",\"content\":\"data:image/JPEG;base64,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\",\"relationship\":null},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":58354,"title":"Find the circle inscribed in a triangle","description":"Write a function that takes the x- and y-coordinates of three points describing the vertices of a triangle and returns the center and radius of a circle inscribed in the triangle (i.e., tangent to each of the three sides).","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: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; 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: 384px 21px; text-align: left; transform-origin: 384px 21px; 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: 365.1px 8px; transform-origin: 365.1px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that takes the x- and y-coordinates of three points describing the vertices of a triangle and returns the center and radius of a circle inscribed in the triangle (i.e., tangent to each of the three sides).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [x0,y0,r] = incircle(x,y)\r\n% x = vector of x-coordinates of the triangle's vertices\r\n% y = vector of y-coordinates of the triangle's vertices\r\n% (x0,y0) = coordinates of the incircle's center\r\n% r = radius of the incircle\r\n [x0,y0,r] = Delaunay(something(x),something(y));\r\nend","test_suite":"%%\r\nx = [0 1 0];\r\ny = [0 0 1];\r\nx0_correct = 0.29289321881;\r\ny0_correct = 0.29289321881;\r\nr_correct = 0.29289321881;\r\n[x0,y0,r] = incircle(x,y);\r\nassert(abs(x0-x0_correct)\u003c1e-10)\r\nassert(abs(y0-y0_correct)\u003c1e-10)\r\nassert(abs(r-r_correct)\u003c1e-10)\r\n\r\n%%\r\nth = pi/2:2*pi/3:11*pi/6;\r\nx = cos(th);\r\ny = sin(th);\r\nx0_correct = 0;\r\ny0_correct = 0;\r\nr_correct = 0.5;\r\n[x0,y0,r] = incircle(x,y);\r\nassert(abs(x0-x0_correct)\u003c1e-10)\r\nassert(abs(y0-y0_correct)\u003c1e-10)\r\nassert(abs(r-r_correct)\u003c1e-10)\r\n\r\n%%\r\nx = [1 4 5];\r\ny = [2 3 6];\r\nx0_correct = 3.47213595500;\r\ny0_correct = 3.52786404500;\r\nr_correct = 0.66770107084;\r\n[x0,y0,r] = incircle(x,y);\r\nassert(abs(x0-x0_correct)\u003c1e-10)\r\nassert(abs(y0-y0_correct)\u003c1e-10)\r\nassert(abs(r-r_correct)\u003c1e-10)\r\n\r\n%%\r\nx = [1 4 5];\r\ny = [2 3 6];\r\nx0_correct = 3.47213595500;\r\ny0_correct = 3.52786404500;\r\nr_correct = 0.66770107084;\r\n[x0,y0,r] = incircle(x,y);\r\nassert(abs(x0-x0_correct)\u003c1e-10)\r\nassert(abs(y0-y0_correct)\u003c1e-10)\r\nassert(abs(r-r_correct)\u003c1e-10)\r\n\r\n%%\r\nx = [-1 4 5];\r\ny = [2 -3 6];\r\nx0_correct = 2.36290232380;\r\ny0_correct = 1.66700704764;\r\nr_correct = 2.14246946292;\r\n[x0,y0,r] = incircle(x,y);\r\nassert(abs(x0-x0_correct)\u003c1e-10)\r\nassert(abs(y0-y0_correct)\u003c1e-10)\r\nassert(abs(r-r_correct)\u003c1e-10)\r\n\r\n%%\r\nx = [12 3 45];\r\ny = [6 78 9];\r\nx0_correct = 23.24160585487;\r\ny0_correct = 19.96162835361;\r\nr_correct = 12.88652365580;\r\n[x0,y0,r] = incircle(x,y);\r\nassert(abs(x0-x0_correct)\u003c1e-10)\r\nassert(abs(y0-y0_correct)\u003c1e-10)\r\nassert(abs(r-r_correct)\u003c1e-10)\r\n\r\n%%\r\nx = [-1 0 1];\r\ny = [0 19 0];\r\nx0_correct = 0;\r\ny0_correct = 0.94875250476;\r\nr_correct = 0.94875250476;\r\n[x0,y0,r] = incircle(x,y);\r\nassert(abs(x0-x0_correct)\u003c1e-10)\r\nassert(abs(y0-y0_correct)\u003c1e-10)\r\nassert(abs(r-r_correct)\u003c1e-10)\r\n\r\n%%\r\nx = [10 15 20];\r\ny = [30 45.1 60];\r\nx0_correct = 15.01499995500; \r\ny0_correct = 45.09499981499; \r\nr_correct = 0.01581137249;\r\n[x0,y0,r] = incircle(x,y);\r\nassert(abs(x0-x0_correct)\u003c1e-10)\r\nassert(abs(y0-y0_correct)\u003c1e-10)\r\nassert(abs(r-r_correct)\u003c1e-10)\r\n\r\n%%\r\nL = 100*rand;\r\nx = [0 L 0];\r\ny = [0 0 L];\r\nd_correct = L/(2+sqrt(2)); \r\n[x0,y0,r] = incircle(x,y);\r\nassert(abs(x0-d_correct)\u003c1e-10)\r\nassert(abs(y0-d_correct)\u003c1e-10)\r\nassert(abs(r-d_correct)\u003c1e-10)\r\n\r\n%%\r\nfiletext = fileread('incircle.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-05-20T15:34:18.000Z","deleted_by":null,"deleted_at":null,"solvers_count":8,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-05-20T15:33:53.000Z","updated_at":"2023-05-20T15:34:18.000Z","published_at":"2023-05-20T15:34:18.000Z","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\u003eWrite a function that takes the x- and y-coordinates of three points describing the vertices of a triangle and returns the center and radius of a circle inscribed in the triangle (i.e., tangent to each of the three sides).\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":61090,"title":"Covering a 4-pointed star polygon by a circle sector","description":"Given the area, A, of a 4-pointed star polygon formed by the rectangle, with dimensions L×2L, and four triangles, with height h from their bases to the vertices, consider the circle that covers the greater of the two distances between opposite vertices (cf. figure below).\r\nGiven (A,h), find\r\nthe width, L, of the rectangle;\r\nthe angle, α [in Radians], of the sector of the circle such that its area is equal to A;\r\nthe minimum slicing number n, corresponding to the number of congruent circle slices, such that the area of one slice does not exceed the above sector area.\r\ninput: (A, h)\r\noutput: y = [L alpha n]\r\n","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: 751.55px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 408px 375.775px; transform-origin: 408px 375.775px; 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; padding-inline-start: 0px; padding-left: 0px; 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; \"\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 area, \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, of a 4-pointed star polygon formed by the rectangle, with dimensions \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eL\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e×\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e2L\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and four triangles, with height \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eh\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e from their bases to the vertices, consider the circle that covers the greater of the two distances between opposite vertices (cf. figure below).\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: 384px 10.5px; text-align: left; transform-origin: 384px 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=\"\"\u003eGiven \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(A,h)\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, find\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.75px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 391px 40.875px; transform-origin: 391px 40.875px; 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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethe width, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eL,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the rectangle;\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethe angle, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eα\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e [in Radians], of the sector of the circle such that its area is equal to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 40.875px; 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 20.4375px; text-align: left; transform-origin: 363px 20.4375px; 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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethe minimum slicing number \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, corresponding to the number of congruent circle slices, such that the area of one slice does not exceed the above sector area.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\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: 384px 10.5px; text-align: left; transform-origin: 384px 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-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003einput:\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(A, h)\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: 384px 10.5px; text-align: left; transform-origin: 384px 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-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eoutput:\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ey = [L alpha n]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 486.8px; 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: 384px 243.4px; text-align: left; transform-origin: 384px 243.4px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cimg class=\"imageNode\" width=\"601\" height=\"481\" style=\"vertical-align: baseline;width: 601px;height: 481px\" src=\"data:image/png;base64,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\" alt=\"Covering by sector\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = covering_by_sector(A,h)\r\n y = x;\r\nend","test_suite":"%%\r\nA = 27;\r\nh = 1;\r\ny_correct = [3 3.375 2];\r\nassert(isequal(covering_by_sector(A,h),y_correct))\r\n\r\n%%\r\nA = 36;\r\nh = 2;\r\ny_correct = [3 2.88 3];\r\nassert(isequal(covering_by_sector(A,h),y_correct))\r\n\r\n%%\r\nA = 45;\r\nh = 3;\r\ny_correct = [3 2.5 3];\r\nassert(isequal(covering_by_sector(A,h),y_correct))\r\n\r\n%%\r\nfiletext = fileread('covering_by_sector.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || ...\r\n contains(filetext, 'str2num'); \r\nassert(~illegal)\r\n\r\n%%\r\nA = 56;\r\nh = 2; \r\ny_correct = [4 28/9 3];\r\nassert(all(isapprox(covering_by_sector(A,h),y_correct), 'all'))\r\n\r\n%%\r\nA = 50;\r\nh = 5; \r\ny_correct = [2.5 16/9 4];\r\nassert(all(isapprox(covering_by_sector(A,h),y_correct), 'all'))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":4993982,"edited_by":4993982,"edited_at":"2025-12-03T10:39:21.000Z","deleted_by":null,"deleted_at":null,"solvers_count":9,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-11-30T14:56:09.000Z","updated_at":"2026-03-23T10:36:12.000Z","published_at":"2025-12-03T10:39:21.000Z","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 area, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, of a 4-pointed star polygon formed by the rectangle, with dimensions \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eL\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2L\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, and four triangles, with height \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e from their bases to the vertices, consider the circle that covers the greater of the two distances between opposite vertices (cf. figure below).\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 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(A,h)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, find\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ethe width, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eL,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e of the rectangle;\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ethe angle, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eα\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e [in Radians], of the sector of the circle such that its area is equal to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\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=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ethe minimum slicing number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, corresponding to the number of congruent circle slices, such that the area of one slice does not exceed the above sector area.\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:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003einput:\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(A, h)\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:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eoutput:\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ey = [L alpha n]\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=\\\"481\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"601\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"Covering by sector\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":45341,"title":"Area-06","description":"The length of the side of a square is given.\r\nDraw 4 quarter-circles inside the square from 4 corners with a radius equal to the side length.\r\nWhat is the area of the confined region inside(shaded region in figure).","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: 81px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 40.5px; transform-origin: 407px 40.5px; 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: 135px 8px; transform-origin: 135px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe length of the side of a square is 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; 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: 293.5px 8px; transform-origin: 293.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eDraw 4 quarter-circles inside the square from 4 corners with a radius equal to the side length.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 223.5px 8px; transform-origin: 223.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWhat is the area of the confined region inside(shaded region in figure).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function c= quarter_circle_01(r)\r\n y = x;\r\nend","test_suite":"%%\r\nr = 25;\r\nassert(abs(quarter_circle_01(r)-196.9667)\u003c0.001)\r\n%%\r\nr = 10;\r\nassert(abs(quarter_circle_01(r)-31.5147)\u003c0.001)\r\n%%\r\nr = 62.45;\r\nassert(abs(quarter_circle_01(r)- 1229.0730)\u003c0.001)\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":363598,"edited_by":223089,"edited_at":"2023-01-13T06:16:50.000Z","deleted_by":null,"deleted_at":null,"solvers_count":25,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-02-18T18:30:17.000Z","updated_at":"2026-01-02T17:33:43.000Z","published_at":"2020-02-18T18:33:10.000Z","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\u003eThe length of the side of a square is 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\u003eDraw 4 quarter-circles inside the square from 4 corners with a radius equal to the side length.\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\u003eWhat is the area of the confined region inside(shaded region in figure).\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":45277,"title":"Orthogonal Circles","description":"Check whether two given circles are orthogonal or not.\r\n\r\nTwo circles are orthogonal if they create a right angle at their intersections.\r\n\r\n* p=[x1,y1,r1] where (x1,y1) is the center \u0026 r1 is the radius of the 1st circle.\r\n* q=[x2,y2,r2] where (x2,y2) is the center \u0026 r2 is the radius of the 2nd circle.","description_html":"\u003cp\u003eCheck whether two given circles are orthogonal or not.\u003c/p\u003e\u003cp\u003eTwo circles are orthogonal if they create a right angle at their intersections.\u003c/p\u003e\u003cul\u003e\u003cli\u003ep=[x1,y1,r1] where (x1,y1) is the center \u0026 r1 is the radius of the 1st circle.\u003c/li\u003e\u003cli\u003eq=[x2,y2,r2] where (x2,y2) is the center \u0026 r2 is the radius of the 2nd circle.\u003c/li\u003e\u003c/ul\u003e","function_template":"function tf= ortho_circle(p,q)","test_suite":"%%\r\np=[5,7,2];\r\nq=[4,1,9];\r\ny_correct = 0;\r\nassert(isequal(ortho_circle(p,q),y_correct))\r\n%%\r\np=[4,3,2];\r\nq=[0,1,4];\r\ny_correct = 1;\r\nassert(isequal(ortho_circle(p,q),y_correct))\r\n%%\r\np=[4,3,2];\r\nq=[2,1,9];\r\ny_correct = 0;\r\nassert(isequal(ortho_circle(p,q),y_correct))\r\n%%\r\np=[1,1,4];\r\nq=[5,5,4];\r\ny_correct = 1;\r\nassert(isequal(ortho_circle(p,q),y_correct))\r\n\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":13,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-01-26T05:41:51.000Z","updated_at":"2025-07-11T00:20:52.000Z","published_at":"2020-01-26T05:42:33.000Z","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\u003eCheck whether two given circles are orthogonal or not.\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\u003eTwo circles are orthogonal if they create a right angle at their intersections.\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\u003ep=[x1,y1,r1] where (x1,y1) is the center \u0026amp; r1 is the radius of the 1st circle.\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\u003eq=[x2,y2,r2] where (x2,y2) is the center \u0026amp; r2 is the radius of the 2nd circle.\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":1336,"title":"Geometry: Find Circle given 3 Non-Colinear Points","description":"*This Challenge is to determine the center and radius of a circle given three non-colinear points.*\r\n\r\n*Input:* Points\r\n\r\n*Output:* [xc, yc, r] where [xc,yc] are the center and r is the radius\r\n\r\n*Example:*\r\n\r\nInput: Points = [1 0 ; 0 -1 ; 0 1]\r\n\r\nOutput: [ 0 0 1]\r\n\r\n*Theory/Hint:* The Kasa method provides a best fit circle to a set of points.\r\n\r\n*Future:* 1) Circumscribe 4 points 2) Circumscribe N points 3) The Great Lego Cup Challenge","description_html":"\u003cp\u003e\u003cb\u003eThis Challenge is to determine the center and radius of a circle given three non-colinear points.\u003c/b\u003e\u003c/p\u003e\u003cp\u003e\u003cb\u003eInput:\u003c/b\u003e Points\u003c/p\u003e\u003cp\u003e\u003cb\u003eOutput:\u003c/b\u003e [xc, yc, r] where [xc,yc] are the center and r is the radius\u003c/p\u003e\u003cp\u003e\u003cb\u003eExample:\u003c/b\u003e\u003c/p\u003e\u003cp\u003eInput: Points = [1 0 ; 0 -1 ; 0 1]\u003c/p\u003e\u003cp\u003eOutput: [ 0 0 1]\u003c/p\u003e\u003cp\u003e\u003cb\u003eTheory/Hint:\u003c/b\u003e The Kasa method provides a best fit circle to a set of points.\u003c/p\u003e\u003cp\u003e\u003cb\u003eFuture:\u003c/b\u003e 1) Circumscribe 4 points 2) Circumscribe N points 3) The Great Lego Cup Challenge\u003c/p\u003e","function_template":"function [xc,yc,r]=find_circle(pts)\r\n xc=0;\r\n yc=0;\r\n r=1;\r\n\r\n","test_suite":"%%\r\nfor tests=1:5\r\n xc_truth=randn;\r\n yc_truth=randn;\r\n r_truth=rand;\r\n rand_ang=randi(360,3,1)+rand(3,1); % Avoid duplicate location via rand(3,1)\r\n pts=[xc_truth+r_truth*cosd(rand_ang) yc_truth+r_truth*sind(rand_ang)]; \r\n\r\n [xc,yc,r]=find_circle(pts);\r\n\r\n %dif=[xc yc r]-[xc_truth yc_truth r_truth]\r\n\r\n assert(max(abs([xc,yc,r]-[xc_truth,yc_truth,r_truth]))\u003c1e-6,...\r\nsprintf('Expect xc %.2f yc %.2f r %.2f Ans:%.2f %.2f %.2f',...\r\n xc_truth,yc_truth,r_truth,xc,yc,r))\r\nend","published":true,"deleted":false,"likes_count":4,"comments_count":1,"created_by":3097,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":64,"test_suite_updated_at":"2017-02-24T17:19:01.000Z","rescore_all_solutions":false,"group_id":20,"created_at":"2013-03-10T17:26:14.000Z","updated_at":"2026-02-16T11:13:15.000Z","published_at":"2013-03-10T18:03:52.000Z","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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eThis Challenge is to determine the center and radius of a circle given three non-colinear 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\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eInput:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e 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\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eOutput:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e [xc, yc, r] where [xc,yc] are the center and r is the radius\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eInput: Points = [1 0 ; 0 -1 ; 0 1]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOutput: [ 0 0 1]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTheory/Hint:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e The Kasa method provides a best fit circle to a set of 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\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFuture:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e 1) Circumscribe 4 points 2) Circumscribe N points 3) The Great Lego Cup Challenge\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":44367,"title":"Inscribed Pentagon? 2","description":"Your function will be provided with the five vertices of a pentagon (p) as well as the center point (cp) and radius (r) of a circle. The pentagon may or may not be centered on the circle. The function should return one of the following values:\r\n\r\n -1: the pentagon is not centered on the circle (within 5% of r)^\r\n 0: the pentagon is completely enclosed within the circle but is not inscribed\r\n 1: the pentagon is inscribed in the circle (within ±0.02)\r\n 2: the vertices of the pentagon extend beyond the circle\r\n\r\nPoints will be rounded to the nearest hundredth. See the test cases for examples. (There will not be a case where some vertices are within the circle and others without.)\r\n\r\n^ Due to the asymmetric nature of the pentagon, its centroid does not coincide with center of its inscribing circle, hence the ±5% tolerance window. ","description_html":"\u003cp\u003eYour function will be provided with the five vertices of a pentagon (p) as well as the center point (cp) and radius (r) of a circle. The pentagon may or may not be centered on the circle. The function should return one of the following values:\u003c/p\u003e\u003cpre\u003e -1: the pentagon is not centered on the circle (within 5% of r)^\r\n 0: the pentagon is completely enclosed within the circle but is not inscribed\r\n 1: the pentagon is inscribed in the circle (within ±0.02)\r\n 2: the vertices of the pentagon extend beyond the circle\u003c/pre\u003e\u003cp\u003ePoints will be rounded to the nearest hundredth. See the test cases for examples. (There will not be a case where some vertices are within the circle and others without.)\u003c/p\u003e\u003cp\u003e^ Due to the asymmetric nature of the pentagon, its centroid does not coincide with center of its inscribing circle, hence the ±5% tolerance window.\u003c/p\u003e","function_template":"function y = inscribed_pentagon2(p,cp,r)\r\n y = -1;\r\nend","test_suite":"%%\r\np = [0,5; 4.76,1.55; 2.94,-4.05; -2.94,-4.05; -4.76,1.55];\r\ncp = [0,0];\r\nr = 5;\r\ny_correct = 1;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))\r\n\r\n%%\r\np = [0,6.58; 6.42,1.92; 3.97,-5.63; -3.97,-5.63; -6.42,1.92];\r\ncp = [0,0];\r\nr = 5;\r\ny_correct = 2;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))\r\n\r\n%%\r\np = [0,4.55; 4.28,1.44; 2.65,-3.59; -2.65,-3.59; -4.28,1.44];\r\ncp = [0,0];\r\nr = 5;\r\ny_correct = 0;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))\r\n\r\n%%\r\np = [0,5; 4.76,1.55; 2.94,-4.05; -2.94,-4.05; -4.76,1.55];\r\ncp = [0,0.5];\r\nr = 8.75;\r\ny_correct = -1;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))\r\n\r\n%%\r\np = [0,5; 4.76,1.55; 2.94,-4.05; -2.94,-4.05; -4.76,1.55];\r\ncp = [1.98,-0.47];\r\nr = 8.75;\r\ny_correct = -1;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))\r\n\r\n%%\r\ncp = [20,8];\r\np = [0,5; 4.76,1.55; 2.94,-4.05; -2.94,-4.05; -4.76,1.55] + repmat(cp,[5,1]);\r\nr = 5;\r\ny_correct = 1;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))\r\n\r\n%%\r\ncp = [20,8];\r\np = [0,6.58; 6.42,1.92; 3.97,-5.63; -3.97,-5.63; -6.42,1.92] + repmat(cp,[5,1]);\r\nr = 5;\r\ny_correct = 2;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))\r\n\r\n%%\r\ncp = [20,8];\r\np = [0,4.55; 4.28,1.44; 2.65,-3.59; -2.65,-3.59; -4.28,1.44] + repmat(cp,[5,1]);\r\nr = 5;\r\ny_correct = 0;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))\r\n\r\n%%\r\ncp_temp = [20,8];\r\np = [0,5; 4.76,1.55; 2.94,-4.05; -2.94,-4.05; -4.76,1.55] + repmat(cp_temp,[5,1]);\r\ncp = [19.5,9.08];\r\nr = 2.5;\r\ny_correct = -1;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))\r\n\r\n%%\r\ncp_temp = [20,8];\r\np = [0,5; 4.76,1.55; 2.94,-4.05; -2.94,-4.05; -4.76,1.55] + repmat(cp_temp,[5,1]);\r\ncp = [19.86,7.19];\r\nr = 7.5;\r\ny_correct = -1;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))\r\n\r\n%%\r\np = [23.66,11.42; 24.37,5.58; 19.05,3.10; 15.04,7.40; 17.89,12.54];\r\ncp = [20,8];\r\nr = 5;\r\ny_correct = 1;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))\r\n\r\n%%\r\np = [25.01,12.47; 25.98,4.58; 18.78,1.23; 13.37,7.03; 17.22,13.97];\r\ncp = [20,8];\r\nr = 5;\r\ny_correct = 2;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))\r\n\r\n%%\r\np = [23.27,11.12; 23.92,5.87; 19.12,3.63; 15.52,7.50; 18.08,12.13];\r\ncp = [20,8];\r\nr = 5;\r\ny_correct = 0;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))\r\n\r\n%%\r\np = [30.94,36.26; 35.61,27.09; 28.34,19.82; 19.17,24.49; 20.78,34.65];\r\ncp = [26.97,28.45];\r\nr = 8.75;\r\ny_correct = 1;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))\r\n\r\n%%\r\np = [32.54,38.78; 38.84,26.41; 29.02,16.59; 16.65,22.89; 18.83,36.61];\r\ncp = [26.97,28.45];\r\nr = 8.75;\r\ny_correct = 2;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))\r\n\r\n%%\r\np = [30.49,35.54; 34.69,27.29; 28.14,20.74; 19.89,24.95; 21.34,34.09];\r\ncp = [26.97,28.45];\r\nr = 8.75;\r\ny_correct = 0;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))\r\n\r\n%%\r\np = [30.94,36.26; 35.61,27.09; 28.34,19.82; 19.17,24.49; 20.78,34.65];\r\ncp = [26.41,29.04];\r\nr = 6.13;\r\ny_correct = -1;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))\r\n\r\n%%\r\np = [30.94,36.26; 35.61,27.09; 28.34,19.82; 19.17,24.49; 20.78,34.65];\r\ncp = [27.07,27.66];\r\nr = 9.63;\r\ny_correct = -1;\r\nassert(isequal(inscribed_pentagon2(p,cp,r),y_correct))","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":26769,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":88,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":35,"created_at":"2017-10-10T15:28:54.000Z","updated_at":"2026-04-02T01:39:53.000Z","published_at":"2017-10-16T01:51:00.000Z","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\u003eYour function will be provided with the five vertices of a pentagon (p) as well as the center point (cp) and radius (r) of a circle. The pentagon may or may not be centered on the circle. The function should return one of the following values:\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[ -1: the pentagon is not centered on the circle (within 5% of r)^\\n 0: the pentagon is completely enclosed within the circle but is not inscribed\\n 1: the pentagon is inscribed in the circle (within ±0.02)\\n 2: the vertices of the pentagon extend beyond the circle]]\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\u003ePoints will be rounded to the nearest hundredth. See the test cases for examples. (There will not be a case where some vertices are within the circle and others without.)\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\u003e^ Due to the asymmetric nature of the pentagon, its centroid does not coincide with center of its inscribing circle, hence the ±5% tolerance window.\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":44386,"title":"Circumscribed Pentagon?","description":"Building off of \u003chttps://www.mathworks.com/matlabcentral/cody/problems/44368 Problem 44368\u003e, your function will be provided with the five vertices of a regular pentagon (p) as well as the center point (cp) and radius (r) of a circle. The function should return one of the following values:\r\n\r\n 0: the pentagon is completely enclosed within the circle but is not inscribed\r\n 1: the pentagon is inscribed in the circle (within ±0.02)\r\n 2: the vertices of the pentagon extend beyond the circle, but its edges still cross back into the circle\r\n 3: the pentagon circumscribes the circle (within ±0.02)\r\n 4: the pentagon completely encloses, and does not touch, the circle\r\n\r\nPoints will be rounded to the nearest hundredth. See the test cases for examples.","description_html":"\u003cp\u003eBuilding off of \u003ca href = \"https://www.mathworks.com/matlabcentral/cody/problems/44368\"\u003eProblem 44368\u003c/a\u003e, your function will be provided with the five vertices of a regular pentagon (p) as well as the center point (cp) and radius (r) of a circle. The function should return one of the following values:\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003e0: the pentagon is completely enclosed within the circle but is not inscribed\r\n1: the pentagon is inscribed in the circle (within ±0.02)\r\n2: the vertices of the pentagon extend beyond the circle, but its edges still cross back into the circle\r\n3: the pentagon circumscribes the circle (within ±0.02)\r\n4: the pentagon completely encloses, and does not touch, the circle\r\n\u003c/pre\u003e\u003cp\u003ePoints will be rounded to the nearest hundredth. See the test cases for examples.\u003c/p\u003e","function_template":"function y = circumscribed_pentagon(p,cp,r)\r\n y = 0;\r\nend","test_suite":"%%\r\np = [0,5; 4.76,1.55; 2.94,-4.05; -2.94,-4.05; -4.76,1.55];\r\ncp = [0,0];\r\nr = 5;\r\ny_correct = 1;\r\nassert(isequal(circumscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [0,5.61; 5.40,1.69; 3.34,-4.66; -3.34,-4.66; -5.40,1.69];\r\ncp = [0,0];\r\nr = 5;\r\ny_correct = 2;\r\nassert(isequal(circumscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [0,6.18; 5.88,1.91; 3.63,-5.00; -3.63,-5.00; -5.88,1.91];\r\ncp = [0,0];\r\nr = 5;\r\ny_correct = 3;\r\nassert(isequal(circumscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [0,4.55; 4.28,1.44; 2.65,-3.59; -2.65,-3.59; -4.28,1.44];\r\ncp = [0,0];\r\nr = 5;\r\ny_correct = 0;\r\nassert(isequal(circumscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\ncp = [20,8];\r\np = [0,5; 4.76,1.55; 2.94,-4.05; -2.94,-4.05; -4.76,1.55] + repmat(cp,[5,1]);\r\nr = 5;\r\ny_correct = 1;\r\nassert(isequal(circumscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [20,13.61; 25.40,9.69; 23.34,3.34; 16.66,3.34; 14.60,9.69];\r\ncp = [20,8];\r\nr = 5;\r\ny_correct = 2;\r\nassert(isequal(circumscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [20,14.18; 25.88,9.91; 23.63,3.00; 16.37,3.00; 14.12,9.91];\r\ncp = [20,8];\r\nr = 5;\r\ny_correct = 3;\r\nassert(isequal(circumscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\ncp = [20,8];\r\np = [0,6.58; 6.42,1.92; 3.97,-5.63; -3.97,-5.63; -6.42,1.92] + repmat(cp,[5,1]);\r\nr = 5;\r\ny_correct = 4;\r\nassert(isequal(circumscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\ncp = [20,8];\r\np = [0,4.55; 4.28,1.44; 2.65,-3.59; -2.65,-3.59; -4.28,1.44] + repmat(cp,[5,1]);\r\nr = 5;\r\ny_correct = 0;\r\nassert(isequal(circumscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [23.66,11.42; 24.37,5.58; 19.05,3.10; 15.04,7.40; 17.89,12.54];\r\ncp = [20,8];\r\nr = 5;\r\ny_correct = 1;\r\nassert(isequal(circumscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [25.01,12.47; 25.98,4.58; 18.78,1.23; 13.37,7.03; 17.22,13.97];\r\ncp = [20,8];\r\nr = 5;\r\ny_correct = 4;\r\nassert(isequal(circumscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [23.27,11.12; 23.92,5.87; 19.12,3.63; 15.52,7.50; 18.08,12.13];\r\ncp = [20,8];\r\nr = 5;\r\ny_correct = 0;\r\nassert(isequal(circumscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [30.94,36.26; 35.61,27.09; 28.34,19.82; 19.17,24.49; 20.78,34.65];\r\ncp = [26.97,28.45];\r\nr = 8.75;\r\ny_correct = 1;\r\nassert(isequal(circumscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [32.54,38.78; 38.84,26.41; 29.02,16.59; 16.65,22.89; 18.83,36.61];\r\ncp = [26.97,28.45];\r\nr = 8.75;\r\ny_correct = 4;\r\nassert(isequal(circumscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [30.49,35.54; 34.69,27.29; 28.14,20.74; 19.89,24.95; 21.34,34.09];\r\ncp = [26.97,28.45];\r\nr = 8.75;\r\ny_correct = 0;\r\nassert(isequal(circumscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [26.97,34.06; 32.37,30.14; 30.31,23.79; 23.63,23.79; 21.57,30.14];\r\ncp = [26.97,28.45];\r\nr = 5;\r\ny_correct = 2;\r\nassert(isequal(circumscribed_pentagon(p,cp,r),y_correct))\r\n\r\n%%\r\np = [31.35,32.83; 32.49,25.64; 26.00,22.34; 20.85,27.48; 24.16,33.97];\r\ncp = [26.97,28.45];\r\nr = 5.01;\r\ny_correct = 3;\r\nassert(isequal(circumscribed_pentagon(p,cp,r),y_correct))","published":true,"deleted":false,"likes_count":2,"comments_count":4,"created_by":26769,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":64,"test_suite_updated_at":"2017-12-08T15:45:11.000Z","rescore_all_solutions":false,"group_id":35,"created_at":"2017-10-13T20:03:45.000Z","updated_at":"2025-11-04T13:12:51.000Z","published_at":"2017-10-16T01:51:02.000Z","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\u003eBuilding off of\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/44368\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProblem 44368\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, your function will be provided with the five vertices of a regular pentagon (p) as well as the center point (cp) and radius (r) of a circle. The function should return one of the following values:\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[0: the pentagon is completely enclosed within the circle but is not inscribed\\n1: the pentagon is inscribed in the circle (within ±0.02)\\n2: the vertices of the pentagon extend beyond the circle, but its edges still cross back into the circle\\n3: the pentagon circumscribes the circle (within ±0.02)\\n4: the pentagon completely encloses, and does not touch, the circle]]\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\u003ePoints will be rounded to the nearest hundredth. See the test cases for examples.\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":45340,"title":"Area-05","description":"The dimension of a rectangle is given. There are two circles of equal size that are inscribed inside it.The circles are tangent to each other and to the rectangle.\r\n\r\nFind the area of of the shaded portion i.e. the portion except the one in the left corner.\r\n\u003chttps://serving.photos.photobox.com/548184863a4e0febc2ad9bcde612bc8f456b9f514872de1da2fd079928011d6c6006f516.jpg\u003e\r\n\r\nNb. I believe its more fun \u0026 ethical to try and figure out the answer by urself instead of just loooking for the ratio on the test suites.","description_html":"\u003cp\u003eThe dimension of a rectangle is given. There are two circles of equal size that are inscribed inside it.The circles are tangent to each other and to the rectangle.\u003c/p\u003e\u003cp\u003eFind the area of of the shaded portion i.e. the portion except the one in the left corner. \u003ca href = \"https://serving.photos.photobox.com/548184863a4e0febc2ad9bcde612bc8f456b9f514872de1da2fd079928011d6c6006f516.jpg\"\u003ehttps://serving.photos.photobox.com/548184863a4e0febc2ad9bcde612bc8f456b9f514872de1da2fd079928011d6c6006f516.jpg\u003c/a\u003e\u003c/p\u003e\u003cp\u003eNb. I believe its more fun \u0026 ethical to try and figure out the answer by urself instead of just loooking for the ratio on the test suites.\u003c/p\u003e","function_template":"function out=inscribed_circle_5(a,b)\r\n y = x;\r\nend","test_suite":"%%\r\nassert(abs(inscribed_circle_5(100,50)-487.5987)\u003c0.001)\r\n%%\r\nassert(abs(inscribed_circle_5(20,10)-19.5039)\u003c0.001)\r\n%%\r\nassert(abs(inscribed_circle_5(50,25)-121.8997)\u003c0.001)\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":13,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-02-17T22:31:04.000Z","updated_at":"2020-02-17T22:32:09.000Z","published_at":"2020-02-17T22:32:09.000Z","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\u003eThe dimension of a rectangle is given. There are two circles of equal size that are inscribed inside it.The circles are tangent to each other and to the rectangle.\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\u003eFind the area of of the shaded portion i.e. the portion except the one in the left corner.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://serving.photos.photobox.com/548184863a4e0febc2ad9bcde612bc8f456b9f514872de1da2fd079928011d6c6006f516.jpg\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026lt;https://serving.photos.photobox.com/548184863a4e0febc2ad9bcde612bc8f456b9f514872de1da2fd079928011d6c6006f516.jpg\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eNb. I believe its more fun \u0026amp; ethical to try and figure out the answer by urself instead of just loooking for the ratio on the test suites.\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":58872,"title":"Find the Points Tangent to a Circle from an External Point ","description":"From a point where do the lines touch a circle tangentially?. The loldrup solution may provide some guidance and alternate method. I will elaborate a more reference frame modification geometric solution utilizing Matlab specific functions, rotation matrix, and translation matrix.\r\nGiven point(px,py) and circle [cx,cy,R] return the circle points [x3 y3;x4 y4] where lines thru the point are tangential to the circle. The line ([px,py],[x3,y3]) is tangential to circle [cx,cy,R] at circle point [x3,y3]. D\u003eR.\r\nThe below figure is created based upon h=P=distance([cx,cy],[px,py])/2=D/2, translating (cx,cy) to (0,0), and rotating (px,py) to be on the Y-axis. From this manipulation two right triangles are apparent: [X,Y,R] and [X,h-Y,P]. Subtracting and simplifying these triangles leads to Y and two X values after substituting back into R^2=X^+Y^2 equation.\r\nP^2=X^2+(h-Y)^2 and R^2=X^2+Y^2 after subtraction gives R^2-P^2=Y^2-(h-Y)^2 = Y^2-h^2+2hY-Y^2=2hY-h^2 thus\r\nY=(R^2-P^2+h^2)/(2h) =(R^2-P^2+P^2)/(2P)=R^2/(2P)=R^2/D\r\nX=+/- (R^2-Y^2)^.5=+/- (R^2-(R^2/(2P))^2)^0.5=+/- R*(1-(R/D)^2)^0.5\r\nThe trick is to now un-rotate and translate this solution matrix using t=atan2(dx,dy), [cos(t) -sin(t);sin(t) cos(t)] and [cx cy]\r\n\r\n\r\nThis figure shows the point (px,py) rotated onto the Y-axis at position 2P. The circle (cx,cy) has been shifted to the origin with radius R. The green line shows a tangent at (x,y) from (px,py). A second tangent point is at (-x.y). D=2*P","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: 952.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 476.25px; transform-origin: 407px 476.25px; 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: 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: 204px 8px; transform-origin: 204px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFrom a point where do the lines touch a circle tangentially?. The \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://math.stackexchange.com/questions/913239/given-circle-and-point-where-does-the-tangential-line-through-the-point-touch-t\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eloldrup\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: 133px 8px; transform-origin: 133px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e solution may provide some guidance and alternate method. I will elaborate a more reference frame modification geometric solution utilizing Matlab specific functions, rotation matrix, and translation matrix.\u003c/span\u003e\u003c/span\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: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; 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: 380.5px 8px; transform-origin: 380.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven point(px,py) and circle [cx,cy,R] return the circle points [x3 y3;x4 y4] where lines thru the point are tangential to the circle. The line ([px,py],[x3,y3]) is tangential to circle [cx,cy,R] at circle point [x3,y3]. D\u0026gt;R.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 366.5px 8px; transform-origin: 366.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe below figure is created based upon h=P=distance([cx,cy],[px,py])/2=D/2, translating (cx,cy) to (0,0), and rotating (px,py) to be on the Y-axis. From this manipulation two right triangles are apparent: [X,Y,R] and [X,h-Y,P]. Subtracting and simplifying these triangles leads to Y and two X values after substituting back into R^2=X^+Y^2 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: 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: 358px 8px; transform-origin: 358px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eP^2=X^2+(h-Y)^2 and R^2=X^2+Y^2 after subtraction gives R^2-P^2=Y^2-(h-Y)^2 = Y^2-h^2+2hY-Y^2=2hY-h^2 thus\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 188px 8px; transform-origin: 188px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eY=(R^2-P^2+h^2)/(2h) =(R^2-P^2+P^2)/(2P)=R^2/(2P)=R^2/D\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 211px 8px; transform-origin: 211px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eX=+/- (R^2-Y^2)^.5=+/- (R^2-(R^2/(2P))^2)^0.5=+/- R*(1-(R/D)^2)^0.5\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 378px 8px; transform-origin: 378px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe trick is to now un-rotate and translate this solution matrix using t=atan2(dx,dy), [cos(t) -sin(t);sin(t) cos(t)] and [cx cy]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 556.5px; 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 278.25px; text-align: left; transform-origin: 384px 278.25px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 419px;height: 551px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\" width=\"419\" height=\"551\"\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: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; 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: 378.5px 8px; transform-origin: 378.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThis figure shows the point (px,py) rotated onto the Y-axis at position 2P. The circle (cx,cy) has been shifted to the origin with radius R. The green line shows a tangent at (x,y) from (px,py). A second tangent point is at (-x.y). D=2*P\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function xy=TangentPoints_onCircle(px,py,cx,cy,R)\r\n%Find points on circle that when drawn to a point only touches circle at the circle point.\r\n%The line from the circle center to (x3 y3) is orthogonal to the line [(px,py) (x3,y3)]\r\n%A second point (x4,y4) also creates an orthogonal lines intersection\r\n\r\n D=norm([px-cx py-cy])\r\n \r\n %Y=\r\n %X=\r\n \r\n xy=[X Y;-X Y];\r\n \r\n %Rotation Angle: atan2\r\n theta=atan2(px-cx,py-cy); % (X,Y) output radians Neg Left of vert, Pos Right of Vert\r\n \r\n %Rotation Matrix: [cos(t) -sin(t);sin(t) cos(t)]\r\n %Translation matrix: [cx cy]\r\n %Check of (px,py) being regenerated from D, theta, and translation\r\n [pxyD]=[0 D]*[cos(theta) -sin(theta);sin(theta) cos(theta)]+[cx cy]\r\n [px py]\r\n \r\n %xy=\r\n \r\n \r\n \r\nend %TangentPoints_onCircle","test_suite":"%%\r\nvalid=1;\r\npx=6;py=8;cx=0;cy=0;R=4;\r\nxy=TangentPoints_onCircle(px,py,cx,cy,R)\r\n\r\n%Verify line from (cx,cy) to (x3,y3) slope is -1/slope of (px,py) to (x3,y3), orthogonal\r\nmexp=-(xy(2,1)-cx)/(xy(2,2)-cy)\r\nmp=(xy(2,2)-py)/(xy(2,1)-px)\r\nif abs(mexp)\u003e1e12 % Inf slope allow +/- match\r\n if ~(abs(mp)\u003e1e12)\r\n valid=0\r\n end\r\nelse\r\n if abs(mp-mexp)\u003e1e-6\r\n valid=0\r\n end\r\nend\r\n\r\nmexp=-(xy(1,1)-cx)/(xy(1,2)-cy)\r\nmp=(xy(1,2)-py)/(xy(1,1)-px)\r\nif abs(mexp)\u003e1e12 % Inf slope allow +/- match\r\n if ~(abs(mp)\u003e1e12)\r\n valid=0\r\n end\r\nelse\r\n if abs(mp-mexp)\u003e1e-6\r\n valid=0\r\n end\r\nend\r\n\r\n\r\nassert(valid)\r\n\r\n%%\r\nvalid=1;\r\npx=-6;py=-8;cx=2;cy=4;R=6;\r\nxy=TangentPoints_onCircle(px,py,cx,cy,R)\r\n\r\n%Verify line from (cx,cy) to (x3,y3) slope is -1/slope of (px,py) to (x3,y3), orthogonal\r\nmexp=-(xy(2,1)-cx)/(xy(2,2)-cy)\r\nmp=(xy(2,2)-py)/(xy(2,1)-px)\r\nif abs(mexp)\u003e1e12 % Inf slope allow +/- match\r\n if ~(abs(mp)\u003e1e12)\r\n valid=0\r\n end\r\nelse\r\n if abs(mp-mexp)\u003e1e-6\r\n valid=0\r\n end\r\nend\r\n\r\nmexp=-(xy(1,1)-cx)/(xy(1,2)-cy)\r\nmp=(xy(1,2)-py)/(xy(1,1)-px)\r\nif abs(mexp)\u003e1e12 % Inf slope allow +/- match\r\n if ~(abs(mp)\u003e1e12)\r\n valid=0\r\n end\r\nelse\r\n if abs(mp-mexp)\u003e1e-6\r\n valid=0\r\n end\r\nend\r\n\r\n\r\nassert(valid)\r\n\r\n%%\r\nvalid=1;\r\npx=6;py=8;cx=1;cy=-2;R=5;\r\nxy=TangentPoints_onCircle(px,py,cx,cy,R)\r\n\r\n%Verify line from (cx,cy) to (x3,y3) slope is -1/slope of (px,py) to (x3,y3), orthogonal\r\nmexp=-(xy(2,1)-cx)/(xy(2,2)-cy)\r\nmp=(xy(2,2)-py)/(xy(2,1)-px)\r\nif abs(mexp)\u003e1e12 % Inf slope allow +/- match\r\n if ~(abs(mp)\u003e1e12)\r\n valid=0\r\n end\r\nelse\r\n if abs(mp-mexp)\u003e1e-6\r\n valid=0\r\n end\r\nend\r\n\r\nmexp=-(xy(1,1)-cx)/(xy(1,2)-cy)\r\nmp=(xy(1,2)-py)/(xy(1,1)-px)\r\nif abs(mexp)\u003e1e12 % Inf slope allow +/- match\r\n if ~(abs(mp)\u003e1e12)\r\n valid=0\r\n end\r\nelse\r\n if abs(mp-mexp)\u003e1e-6\r\n valid=0\r\n end\r\nend\r\n\r\n\r\nassert(valid)\r\n\r\n%%\r\nvalid=1;\r\n%px=6;py=8;cx=1;cy=-2;R=5;\r\ncx=-5*rand; cy=-5*rand; R=4+rand;\r\npx=3+2*rand; py=3+2*rand;\r\n[px py cx cy R]\r\nxy=TangentPoints_onCircle(px,py,cx,cy,R)\r\n\r\n%Verify line from (cx,cy) to (x3,y3) slope is -1/slope of (px,py) to (x3,y3), orthogonal\r\nmexp=-(xy(2,1)-cx)/(xy(2,2)-cy)\r\nmp=(xy(2,2)-py)/(xy(2,1)-px)\r\nif abs(mexp)\u003e1e12 % Inf slope allow +/- match\r\n if ~(abs(mp)\u003e1e12)\r\n valid=0\r\n end\r\nelse\r\n if abs(mp-mexp)\u003e1e-6\r\n valid=0\r\n end\r\nend\r\n\r\nmexp=-(xy(1,1)-cx)/(xy(1,2)-cy)\r\nmp=(xy(1,2)-py)/(xy(1,1)-px)\r\nif abs(mexp)\u003e1e12 % Inf slope allow +/- match\r\n if ~(abs(mp)\u003e1e12)\r\n valid=0\r\n end\r\nelse\r\n if abs(mp-mexp)\u003e1e-6\r\n valid=0\r\n end\r\nend\r\n\r\n\r\nassert(valid)\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":3097,"edited_by":3097,"edited_at":"2023-08-12T23:33:27.000Z","deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-08-12T21:15:25.000Z","updated_at":"2023-08-12T23:33:27.000Z","published_at":"2023-08-12T23:33:27.000Z","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\u003eFrom a point where do the lines touch a circle tangentially?. The \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://math.stackexchange.com/questions/913239/given-circle-and-point-where-does-the-tangential-line-through-the-point-touch-t\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eloldrup\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e solution may provide some guidance and alternate method. I will elaborate a more reference frame modification geometric solution utilizing Matlab specific functions, rotation matrix, and translation matrix.\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 point(px,py) and circle [cx,cy,R] return the circle points [x3 y3;x4 y4] where lines thru the point are tangential to the circle. The line ([px,py],[x3,y3]) is tangential to circle [cx,cy,R] at circle point [x3,y3]. D\u0026gt;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:r\u003e\u003cw:t\u003eThe below figure is created based upon h=P=distance([cx,cy],[px,py])/2=D/2, translating (cx,cy) to (0,0), and rotating (px,py) to be on the Y-axis. From this manipulation two right triangles are apparent: [X,Y,R] and [X,h-Y,P]. Subtracting and simplifying these triangles leads to Y and two X values after substituting back into R^2=X^+Y^2 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\u003eP^2=X^2+(h-Y)^2 and R^2=X^2+Y^2 after subtraction gives R^2-P^2=Y^2-(h-Y)^2 = Y^2-h^2+2hY-Y^2=2hY-h^2 thus\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=(R^2-P^2+h^2)/(2h) =(R^2-P^2+P^2)/(2P)=R^2/(2P)=R^2/D\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eX=+/- (R^2-Y^2)^.5=+/- (R^2-(R^2/(2P))^2)^0.5=+/- R*(1-(R/D)^2)^0.5\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\u003eThe trick is to now un-rotate and translate this solution matrix using t=atan2(dx,dy), [cos(t) -sin(t);sin(t) cos(t)] and [cx cy]\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\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=\\\"551\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"419\\\"/\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\u003eThis figure shows the point (px,py) rotated onto the Y-axis at position 2P. The circle (cx,cy) has been shifted to the origin with radius R. The green line shows a tangent at (x,y) from (px,py). A second tangent point is at (-x.y). D=2*P\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":58852,"title":"Intersection(s) of Circles","description":"Do two given circles intersect in Zero, One, or Two points and provide the intersection(s). The Stafford method may provide some guidance and alternate solution method. I will elaborate a more geometric solution utilizing Matlab specific functions, rotation matrix, and translation matrix. Assumption is that Matlab function circcirc is not available.\r\nGiven circles [x1,y1,R] and [x2,y2,P] return the intersections [], [x y], or [x y;x y].\r\nThe below figure is created based upon d=distance([x1,y1],[x2,y2]), translating (x1,y1) to (0,0), and rotating (x2,y2) to be on the Y-axis. From this manipulation two right triangles are apparent: [X,Y,R] and [X,d-Y,P]. Subtracting and simplifying these triangles leads to Y and two X values after substituting back into R^2=X^+Y^2 equation.\r\nP^2=X^2+(d-Y)^2 and R^2=X^2+Y^2 after subtraction gives R^2-P^2=Y^2-(d-Y)^2 = Y^2-d^2+2dY-Y^2=2dY-d^2 thus\r\nY=(R^2-P^2+d^2)/(2d) and X=+/- (R^2-Y^2)^.5\r\nThe trick is to now un-rotate and translate this solution matrix using t=atan2(dx,dy), [cos(t) -sin(t);sin(t) cos(t)] and [x1 y1]\r\n\r\n \r\nDiagram showing a normalization of posed problem where (x1,y1) is placed at origin and (x2,y2) is placed on Y-axis at distance d. Final (x,y) values will require rotation and shifting.","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: 1000.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 500.25px; transform-origin: 407px 500.25px; 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: 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: 296px 8px; transform-origin: 296px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eDo two given circles intersect in Zero, One, or Two points and provide the intersection(s). The \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/answers/196755-fsolve-to-find-circle-intersections\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eStafford\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: 42.5px 8px; transform-origin: 42.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e method may provide some guidance and alternate solution method. I will elaborate a more geometric solution utilizing Matlab specific functions, rotation matrix, and translation matrix. Assumption is that Matlab function circcirc is not available.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 248px 8px; transform-origin: 248px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven circles [x1,y1,R] and [x2,y2,P] return the intersections [], [x y], or [x y;x y].\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 380.5px 8px; transform-origin: 380.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe below figure is created based upon d=distance([x1,y1],[x2,y2]), translating (x1,y1) to (0,0), and rotating (x2,y2) to be on the Y-axis. From this manipulation two right triangles are apparent: [X,Y,R] and [X,d-Y,P]. Subtracting and simplifying these triangles leads to Y and two X values after substituting back into R^2=X^+Y^2 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: 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: 358px 8px; transform-origin: 358px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eP^2=X^2+(d-Y)^2 and R^2=X^2+Y^2 after subtraction gives R^2-P^2=Y^2-(d-Y)^2 = Y^2-d^2+2dY-Y^2=2dY-d^2 thus\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 143px 8px; transform-origin: 143px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eY=(R^2-P^2+d^2)/(2d) and X=+/- (R^2-Y^2)^.5\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 379px 8px; transform-origin: 379px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe trick is to now un-rotate and translate this solution matrix using t=atan2(dx,dy), [cos(t) -sin(t);sin(t) cos(t)] and [x1 y1]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 655.5px; 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 327.75px; text-align: left; transform-origin: 384px 327.75px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 482px;height: 650px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\" width=\"482\" height=\"650\"\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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\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: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; 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: 370.5px 8px; transform-origin: 370.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eDiagram showing a normalization of posed problem where (x1,y1) is placed at origin and (x2,y2) is placed on Y-axis at distance d. Final (x,y) values will require rotation and shifting.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function xy = circle_intersections(x1,y1,R,x2,y2,P)\r\n d2=(x1-x2)^2+(y1-y2)^2;\r\n d=d2^0.5;\r\n xy=[];\r\n if d\u003eP+R,return;end % No intersection due to C-C separation\r\n % Two other No intersection Cases can be determined using d,P,R\r\n %if ,return;end % No intersection, smaller R is inside larger P\r\n %if ,return;end % No intersection, smaller P is inside larger R\r\n \r\n %Single point intersections\r\n if d==P+R\r\n xy=[0 R];\r\n elseif d-P==-R\r\n %xy=[];\r\n elseif d+P==R\r\n %xy=\r\n end\r\n \r\n if isempty(xy) % Dual Solutions\r\n %y=\r\n %x=\r\n %xy=[ ; ];\r\n end\r\n \r\n %Rotation Angle: atan2\r\n theta=atan2(x2-x1,y2-y1); % (X,Y) output radians Neg Left of vert, Pos Right of Vert\r\n \r\n %Rotation Matrix: [cos(t) -sin(t);sin(t) cos(t)]\r\n %Translation matrix: [x1 y1]\r\n %Check of (x2,y2) being regenerated from d, theta, and translation\r\n [xy2c]=[0 d]*[cos(theta) -sin(theta);sin(theta) cos(theta)]+[x1 y1]\r\n [x2 y2]\r\n \r\n %xy=\r\n \r\n \r\n \r\nend % circle_intersections","test_suite":"%%\r\nvalid=1;\r\nx1=0;y1=0;R=6;\r\nx2=0;y2=10;P=8;\r\nxy = circle_intersections(x1,y1,R,x2,y2,P)\r\nif size(xy,1)~=2\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x1 y1]).^2,2)-R^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x2 y2]).^2,2)-P^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nassert(valid)\r\n%%\r\nvalid=1;\r\nx1=0;y1=0;R=6;\r\nx2=10;y2=0;P=8;\r\nxy = circle_intersections(x1,y1,R,x2,y2,P)\r\nif size(xy,1)~=2\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x1 y1]).^2,2)-R^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x2 y2]).^2,2)-P^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nassert(valid)\r\n%%\r\nvalid=1;\r\nx1=0;y1=0;R=6;\r\nx2=-10;y2=0;P=8;\r\nxy = circle_intersections(x1,y1,R,x2,y2,P)\r\nif size(xy,1)~=2\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x1 y1]).^2,2)-R^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x2 y2]).^2,2)-P^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nassert(valid)\r\n%%\r\nvalid=1;\r\nx1=0;y1=0;R=6;\r\nx2=0;y2=-10;P=8;\r\nxy = circle_intersections(x1,y1,R,x2,y2,P)\r\nif size(xy,1)~=2\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x1 y1]).^2,2)-R^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x2 y2]).^2,2)-P^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nassert(valid)\r\n%%\r\nvalid=1;\r\nx1=4;y1=4;R=6;\r\nx2=6;y2=-2;P=8;\r\nxy = circle_intersections(x1,y1,R,x2,y2,P)\r\nif size(xy,1)~=2\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x1 y1]).^2,2)-R^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x2 y2]).^2,2)-P^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nassert(valid)\r\n%%\r\nvalid=1;\r\nx1=-4;y1=-4;R=4;\r\nx2=-4;y2=8;P=8;\r\nxy = circle_intersections(x1,y1,R,x2,y2,P)\r\nif size(xy,1)~=1\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x1 y1]).^2,2)-R^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x2 y2]).^2,2)-P^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nassert(valid)\r\n%%\r\nvalid=1;\r\nx1=3;y1=1;R=4;\r\nx2=3;y2=5;P=8;\r\nxy = circle_intersections(x1,y1,R,x2,y2,P)\r\nif size(xy,1)~=1\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x1 y1]).^2,2)-R^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x2 y2]).^2,2)-P^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nassert(valid)\r\n%%\r\nvalid=1;\r\nx1=-2;y1=1;R=10;\r\nx2=0;y2=1;P=8;\r\nxy = circle_intersections(x1,y1,R,x2,y2,P)\r\nif size(xy,1)~=1\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x1 y1]).^2,2)-R^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x2 y2]).^2,2)-P^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nassert(valid)\r\n%%\r\nvalid=1;\r\nx1=2;y1=1;R=1;\r\nx2=8;y2=8;P=2;\r\nxy = circle_intersections(x1,y1,R,x2,y2,P)\r\nif ~isempty(xy)\r\n valid=0;\r\nend\r\nassert(valid)\r\n%%\r\nvalid=1;\r\nx1=2;y1=1;R=1;\r\nx2=2;y2=1;P=2;\r\nxy = circle_intersections(x1,y1,R,x2,y2,P)\r\nif ~isempty(xy)\r\n valid=0;\r\nend\r\nassert(valid)\r\n%%\r\nvalid=1;\r\nx1=2;y1=2;R=1;\r\nx2=3;y2=3;P=3;\r\nxy = circle_intersections(x1,y1,R,x2,y2,P)\r\nif ~isempty(xy)\r\n valid=0;\r\nend\r\nassert(valid)\r\n%%\r\nvalid=1;\r\nx1=2;y1=2;R=5;\r\nx2=3;y2=3;P=1;\r\nxy = circle_intersections(x1,y1,R,x2,y2,P)\r\nif ~isempty(xy)\r\n valid=0;\r\nend\r\nassert(valid)\r\n%%\r\nvalid=1;\r\nx1=rand;y1=4+rand;R=6+rand;\r\n[x1 y1 R]\r\nx2=-1+rand;y2=-3+rand;P=8+rand;\r\n[x2 y2 P]\r\nxy = circle_intersections(x1,y1,R,x2,y2,P)\r\nif size(xy,1)~=2\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x1 y1]).^2,2)-R^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x2 y2]).^2,2)-P^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nassert(valid)\r\n%%\r\nvalid=1;\r\nx1=-1+rand;y1=-3+rand;R=8+rand;\r\n[x1 y1 R]\r\nx2=rand;y2=4+rand;P=6+rand;\r\n[x2 y2 P]\r\nxy = circle_intersections(x1,y1,R,x2,y2,P)\r\nif size(xy,1)~=2\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x1 y1]).^2,2)-R^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nif sum(sum((xy-[x2 y2]).^2,2)-P^2)\u003e1e-6 % Test points\r\n valid=0;\r\nend\r\nassert(valid)\r\n\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":1,"created_by":3097,"edited_by":3097,"edited_at":"2023-08-11T15:10:45.000Z","deleted_by":null,"deleted_at":null,"solvers_count":6,"test_suite_updated_at":"2023-08-11T15:10:45.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2023-08-10T16:45:31.000Z","updated_at":"2023-08-11T15:10:45.000Z","published_at":"2023-08-10T19:02:14.000Z","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\u003eDo two given circles intersect in Zero, One, or Two points and provide the intersection(s). The \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/answers/196755-fsolve-to-find-circle-intersections\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eStafford\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e method may provide some guidance and alternate solution method. I will elaborate a more geometric solution utilizing Matlab specific functions, rotation matrix, and translation matrix. Assumption is that Matlab function circcirc is not available.\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 circles [x1,y1,R] and [x2,y2,P] return the intersections [], [x y], or [x y;x 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\u003eThe below figure is created based upon d=distance([x1,y1],[x2,y2]), translating (x1,y1) to (0,0), and rotating (x2,y2) to be on the Y-axis. From this manipulation two right triangles are apparent: [X,Y,R] and [X,d-Y,P]. Subtracting and simplifying these triangles leads to Y and two X values after substituting back into R^2=X^+Y^2 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\u003eP^2=X^2+(d-Y)^2 and R^2=X^2+Y^2 after subtraction gives R^2-P^2=Y^2-(d-Y)^2 = Y^2-d^2+2dY-Y^2=2dY-d^2 thus\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=(R^2-P^2+d^2)/(2d) and X=+/- (R^2-Y^2)^.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\u003eThe trick is to now un-rotate and translate this solution matrix using t=atan2(dx,dy), [cos(t) -sin(t);sin(t) cos(t)] and [x1 y1]\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\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=\\\"650\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"482\\\"/\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\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\u003eDiagram showing a normalization of posed problem where (x1,y1) is placed at origin and (x2,y2) is placed on Y-axis at distance d. Final (x,y) values will require rotation and shifting.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":1651,"title":"Circumcircle Points","description":"Determine the radius of the minimum sized circle that encompasses all the points.\r\n\r\nPer \u003chttp://www.inf.ethz.ch/personal/gaertner/texts/own_work/esa99_final.pdf Smallest Sphere Paper\u003e this question was first addressed by Sylvester in 1857, Megiddo in 1982, and optimized by Emo Welzl in 1991.\r\n\r\n*Input:* Points (eg [0 0;0 1;2 0]) Minimum of 3 points\r\n\r\n*Output:* r (radius of optimally centered circle)\r\n\r\n*Example:* [0 0;0 1;2 0] yields [xc,yc,r] [1 .5 1.118] Output r=1.118\r\n\r\n*Theory:*\r\nBest Circumcircle may occur in two ways:\r\n\r\n1) Center of Line connecting pair with maximum separation, or\r\n\r\n2) A circle utilizing three points from the set\r\n\r\n*Related Challenges:*\r\n\r\n\u003chttp://www.mathworks.com/matlabcentral/cody/problems/1336-geometry-find-circle-given-3-non-colinear-points/solutions/map Circle from 3 Points\u003e\r\n\r\n\u003chttp://www.mathworks.com/matlabcentral/cody/problems/554-is-the-point-in-a-circle/solutions/map Are Points in Circle\u003e\r\n\r\n*Warning:* Rounding Errors may cause solution errors. Usage of 10*eps(r) may be appropriate.\r\n\r\n\r\n","description_html":"\u003cp\u003eDetermine the radius of the minimum sized circle that encompasses all the points.\u003c/p\u003e\u003cp\u003ePer \u003ca href = \"http://www.inf.ethz.ch/personal/gaertner/texts/own_work/esa99_final.pdf\"\u003eSmallest Sphere Paper\u003c/a\u003e this question was first addressed by Sylvester in 1857, Megiddo in 1982, and optimized by Emo Welzl in 1991.\u003c/p\u003e\u003cp\u003e\u003cb\u003eInput:\u003c/b\u003e Points (eg [0 0;0 1;2 0]) Minimum of 3 points\u003c/p\u003e\u003cp\u003e\u003cb\u003eOutput:\u003c/b\u003e r (radius of optimally centered circle)\u003c/p\u003e\u003cp\u003e\u003cb\u003eExample:\u003c/b\u003e [0 0;0 1;2 0] yields [xc,yc,r] [1 .5 1.118] Output r=1.118\u003c/p\u003e\u003cp\u003e\u003cb\u003eTheory:\u003c/b\u003e\r\nBest Circumcircle may occur in two ways:\u003c/p\u003e\u003cp\u003e1) Center of Line connecting pair with maximum separation, or\u003c/p\u003e\u003cp\u003e2) A circle utilizing three points from the set\u003c/p\u003e\u003cp\u003e\u003cb\u003eRelated Challenges:\u003c/b\u003e\u003c/p\u003e\u003cp\u003e\u003ca href = \"http://www.mathworks.com/matlabcentral/cody/problems/1336-geometry-find-circle-given-3-non-colinear-points/solutions/map\"\u003eCircle from 3 Points\u003c/a\u003e\u003c/p\u003e\u003cp\u003e\u003ca href = \"http://www.mathworks.com/matlabcentral/cody/problems/554-is-the-point-in-a-circle/solutions/map\"\u003eAre Points in Circle\u003c/a\u003e\u003c/p\u003e\u003cp\u003e\u003cb\u003eWarning:\u003c/b\u003e Rounding Errors may cause solution errors. Usage of 10*eps(r) may be appropriate.\u003c/p\u003e","function_template":"function r = Circumcircle_radius(pts)\r\n r=0;\r\nend","test_suite":"%%\r\npts=[0 0;5 0;1.8 2.4]; % 3 4 5 triangle\r\nr_exp=2.5;\r\nr = Circumcircle_radius(pts);\r\nassert(abs(r-r_exp)\u003c.001)\r\n%%\r\npts=[0 0;6 0;1.8 2.4]; % 3 x 6 triangle\r\nr_exp=3; % Two Point Solver\r\nr = Circumcircle_radius(pts);\r\nassert(abs(r-r_exp)\u003c.001)\r\n%%\r\npts=[0 0;0 1;1 2;3 0]; % r^2=2.5\r\nr_exp=sqrt(2.5);\r\nr = Circumcircle_radius(pts);\r\nassert(abs(r-r_exp)\u003c.001)\r\n%%\r\npts=[0 1; 0 3; 0 4; 2 6; 3 0; 4 5]; % r2 9.2820069 \r\nr_exp=sqrt(9.2820069 );\r\nr = Circumcircle_radius(pts);\r\nassert(abs(r-r_exp)\u003c.001)\r\n%%\r\npts=[0,2;0,6;1,1;3,0;3,3;4,10;5,10;7,2;9,7]; % r2 26.6919 \r\nr_exp=sqrt(26.6919420552286 );\r\nr = Circumcircle_radius(pts);\r\nassert(abs(r-r_exp)\u003c.001)\r\n%%\r\npts=[0,19;1,25;1,30;1,34;3,11;4,30;8,17;9,6;11,44;12,45;15,46;21,0;21,9;21,48;22,42;26,11;31,40;34,27;37,44;39,34;41,8;43,9;43,10;46,16;46,35;48,23]; % r2 exp 608.7807\r\nr_exp=sqrt(608.780718525455);\r\nr = Circumcircle_radius(pts);\r\nassert(abs(r-r_exp)\u003c.001)\r\n%%\r\n% Random case to avoid hard coders\r\nxc=rand;\r\nyc=rand;\r\nr=.5+rand;\r\npts=[];\r\n% Equilateral points\r\npts(1,:)=[xc+r,yc];\r\npts(2,:)=[xc+r*cos(2*pi/3),yc+r*sin(2*pi/3)];\r\npts(3,:)=[xc+r*cos(-2*pi/3),yc+r*sin(-2*pi/3)];\r\nfor i=4:10\r\n rnew=rand*r;\r\n theta=randi(360)*pi/180;\r\n pts(i,:)=[xc+rnew*cos(theta),yc+rnew*sin(theta)];\r\nend\r\npts=pts(randperm(size(pts,1)),:);\r\nr_exp=r;\r\nr = Circumcircle_radius(pts);\r\nassert(abs(r-r_exp)\u003c.001)\r\n%%\r\n% Random case to avoid hard coders\r\nxc=rand;\r\nyc=rand;\r\nr=.5+rand;\r\npts=[];\r\n% Equilateral points\r\npts(1,:)=[xc+r,yc];\r\npts(2,:)=[xc+r*cos(2*pi/3),yc+r*sin(2*pi/3)];\r\npts(3,:)=[xc+r*cos(-2*pi/3),yc+r*sin(-2*pi/3)];\r\nfor i=4:30\r\n rnew=rand*r;\r\n theta=randi(360)*pi/180;\r\n pts(i,:)=[xc+rnew*cos(theta),yc+rnew*sin(theta)];\r\nend\r\npts=pts(randperm(size(pts,1)),:);\r\nr_exp=r;\r\nr = Circumcircle_radius(pts);\r\nassert(abs(r-r_exp)\u003c.001)\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":3097,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2013-06-17T00:11:46.000Z","updated_at":"2013-06-17T00:27:11.000Z","published_at":"2013-06-17T00:27:11.000Z","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\u003eDetermine the radius of the minimum sized circle that encompasses all the 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\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ePer\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://www.inf.ethz.ch/personal/gaertner/texts/own_work/esa99_final.pdf\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eSmallest Sphere Paper\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e this question was first addressed by Sylvester in 1857, Megiddo in 1982, and optimized by Emo Welzl in 1991.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eInput:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e Points (eg [0 0;0 1;2 0]) Minimum of 3 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\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eOutput:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e r (radius of optimally centered circle)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e [0 0;0 1;2 0] yields [xc,yc,r] [1 .5 1.118] Output r=1.118\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTheory:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e Best Circumcircle may occur in two ways:\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\u003e1) Center of Line connecting pair with maximum separation, or\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\u003e2) A circle utilizing three points from the set\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eRelated Challenges:\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:hyperlink w:docLocation=\\\"http://www.mathworks.com/matlabcentral/cody/problems/1336-geometry-find-circle-given-3-non-colinear-points/solutions/map\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eCircle from 3 Points\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"http://www.mathworks.com/matlabcentral/cody/problems/554-is-the-point-in-a-circle/solutions/map\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eAre Points in Circle\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eWarning:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e Rounding Errors may cause solution errors. Usage of 10*eps(r) may be appropriate.\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":58956,"title":"Find the nine-point circle of a triangle","description":"Cody Problem 1336 asks us to find the circle that circumscribes a triangle, and Cody Problem 58354 asks us to find the circle that is inscribed in a triangle. This problem deals with the nine-point circle of a triangle—the circle that passes through the midpoints of the sides, the feet of the altitudes, and the midpoints of the line segments connecting the vertices to the orthocenter (the intersection of the altitudes). \r\nWrite a function that takes the x- and y-coordinates of three points describing the vertices of a triangle and returns the center and radius of the nine-point circle, as well as the x- and y-coordinates of the nine points.\r\n\r\n\r\nImage from Wikipedia","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: 573.7px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 286.85px; transform-origin: 407px 286.85px; vertical-align: baseline; \"\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: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/1336\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 1336\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: 183.192px 8px; transform-origin: 183.192px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e asks us to find the circle that circumscribes a triangle, and \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58354\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 58354\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: 60.275px 8px; transform-origin: 60.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e asks us to find the circle that is inscribed in a triangle. This problem deals with the nine-point circle of a triangle—the circle that passes through the midpoints of the sides, the feet of the altitudes, and the midpoints of the line segments connecting the vertices to the orthocenter (the intersection of the altitudes). \u003c/span\u003e\u003c/span\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: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; 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: 365.1px 8px; transform-origin: 365.1px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that takes the x- and y-coordinates of three points describing the vertices of a triangle and returns the center and radius of the nine-point circle, as well as the x- and y-coordinates of the nine points.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 369.7px; 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 184.85px; text-align: left; transform-origin: 384px 184.85px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"364\" height=\"364\" style=\"vertical-align: baseline;width: 364px;height: 364px\" src=\"https://upload.wikimedia.org/wikipedia/commons/7/71/Nine-point_circle.svg\" 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; 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: 67.6833px 8px; transform-origin: 67.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eImage from Wikipedia\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [x0,y0,r,x9,y9] = ninePtCircle(x,y)\r\n x0 = mean(x);\r\n y0 = mean(y);\r\n r = hypot(x,y);\r\n x9 = 9*x0;\r\n y9 = 9*y0;\r\nend","test_suite":"%%\r\nx = [1 4 5];\r\ny = [2 1 6];\r\nx0_correct = 3.375;\r\ny0_correct = 2.625;\r\nr_correct = 1.425219281373922;\r\nx9_correct = [2.25 2.5 3.4 3.75 53/13 4.5 4.25 3 2];\r\ny9_correct = [7/4 3/2 6/5 5/4 18/13 7/2 15/4 4 3];\r\n[x0,y0,r,x9,y9] = ninePtCircle(x,y);\r\n[~,indx] = sort(angle(complex(x9-x0,y9-y0)));\r\nX9 = x9(indx);\r\nY9 = y9(indx);\r\nassert(abs(x0-x0_correct)\u003c1e-10)\r\nassert(abs(y0-y0_correct)\u003c1e-10)\r\nassert(abs(r-r_correct)\u003c1e-10)\r\nassert(all(abs(X9-x9_correct)\u003c1e-10))\r\nassert(all(abs(Y9-y9_correct)\u003c1e-10))\r\n\r\n%%\r\nx = [-1 0 2];\r\ny = [0 3 0];\r\nx0_correct = 1/4;\r\ny0_correct = 11/12;\r\nr_correct = 0.950146187582615;\r\nx9_correct = [-0.7 -0.5 0 0.5 1 14/13 1 0 -0.5];\r\ny9_correct = [0.9 1/3 0 0 1/3 18/13 1.5 11/6 1.5];\r\n[x0,y0,r,x9,y9] = ninePtCircle(x,y);\r\n[~,indx] = sort(angle(complex(x9-x0,y9-y0)));\r\nX9 = x9(indx);\r\nY9 = y9(indx);\r\nassert(abs(x0-x0_correct)\u003c1e-10)\r\nassert(abs(y0-y0_correct)\u003c1e-10)\r\nassert(abs(r-r_correct)\u003c1e-10)\r\nassert(all(abs(X9-x9_correct)\u003c1e-10))\r\nassert(all(abs(Y9-y9_correct)\u003c1e-10))\r\n\r\n%%\r\nx = [0 2 0];\r\ny = [-1 0 1];\r\nx0_correct = 0.625;\r\ny0_correct = 0;\r\nr_correct = 0.625;\r\nx9_correct = [0.25 0.8 1 1.25 1 0.8 0.25 0 0];\r\ny9_correct = [-0.5 -0.6 -0.5 0 0.5 0.6 0.5 0 0];\r\n[x0,y0,r,x9,y9] = ninePtCircle(x,y);\r\n[~,indx] = sort(angle(complex(x9-x0,y9-y0)));\r\nX9 = x9(indx);\r\nY9 = y9(indx);\r\nassert(abs(x0-x0_correct)\u003c1e-10)\r\nassert(abs(y0-y0_correct)\u003c1e-10)\r\nassert(abs(r-r_correct)\u003c1e-10)\r\nassert(all(abs(X9-x9_correct)\u003c1e-10))\r\nassert(all(abs(Y9-y9_correct)\u003c1e-10))\r\n\r\n%%\r\nx = [-1 0 1];\r\ny = [0 4 0];\r\nx0_correct = 0;\r\ny0_correct = 1.0625;\r\nr_correct = 1.0625;\r\nx9_correct = [-15/17 -0.5 0 0 0.5 15/17 0.5 0 -0.5];\r\ny9_correct = [8/17 1/8 0 0 1/8 8/17 2 17/8 2];\r\n[x0,y0,r,x9,y9] = ninePtCircle(x,y);\r\n[~,indx] = sort(angle(complex(x9-x0,y9-y0)));\r\nX9 = x9(indx);\r\nY9 = y9(indx);\r\nassert(abs(x0-x0_correct)\u003c1e-10)\r\nassert(abs(y0-y0_correct)\u003c1e-10)\r\nassert(abs(r-r_correct)\u003c1e-10)\r\nassert(all(abs(X9-x9_correct)\u003c1e-10))\r\nassert(all(abs(Y9-y9_correct)\u003c1e-10))\r\n\r\n%%\r\nx = [0 4 1];\r\ny = [0 1 6];\r\nx0_correct = 165/92;\r\ny0_correct = 191/92;\r\nr_correct = 1.589560103692659;\r\nx9_correct = [10/37 25/23 2 40/17 71/23 115/34 5/2 73/46 1/2];\r\ny9_correct = [60/37 15/23 1/2 10/17 53/46 69/34 7/2 84/23 3];\r\n[x0,y0,r,x9,y9] = ninePtCircle(x,y);\r\n[~,indx] = sort(angle(complex(x9-x0,y9-y0)));\r\nX9 = x9(indx);\r\nY9 = y9(indx);\r\nassert(abs(x0-x0_correct)\u003c1e-10)\r\nassert(abs(y0-y0_correct)\u003c1e-10)\r\nassert(abs(r-r_correct)\u003c1e-10)\r\nassert(all(abs(X9-x9_correct)\u003c1e-10))\r\nassert(all(abs(Y9-y9_correct)\u003c1e-10))\r\n\r\n%%\r\nx = [-4 -2 0];\r\ny = [-8 -2 -6];\r\nx0_correct = -1.5;\r\ny0_correct = -5.5;\r\nr_correct = 1.581138830084190;\r\nx9_correct = [-2 -2 0 0 0 -1 -1 -3 -3];\r\ny9_correct = [-7 -7 -6 -6 -6 -4 -4 -5 -5];\r\n[x0,y0,r,x9,y9] = ninePtCircle(x,y);\r\n[~,indx] = sort(angle(complex(x9-x0,y9-y0)));\r\nX9 = x9(indx);\r\nY9 = y9(indx);\r\nassert(abs(x0-x0_correct)\u003c1e-10)\r\nassert(abs(y0-y0_correct)\u003c1e-10)\r\nassert(abs(r-r_correct)\u003c1e-10)\r\nassert(all(abs(X9-x9_correct)\u003c1e-10))\r\nassert(all(abs(Y9-y9_correct)\u003c1e-10))\r\n\r\n%%\r\nfiletext = fileread('ninePtCircle.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":0,"comments_count":7,"created_by":46909,"edited_by":46909,"edited_at":"2023-09-14T12:45:42.000Z","deleted_by":null,"deleted_at":null,"solvers_count":3,"test_suite_updated_at":"2023-09-14T12:45:42.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2023-09-03T22:43:36.000Z","updated_at":"2023-09-14T12:45:42.000Z","published_at":"2023-09-03T22:43:55.000Z","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:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/1336\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 1336\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e asks us to find the circle that circumscribes a triangle, and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58354\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 58354\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e asks us to find the circle that is inscribed in a triangle. This problem deals with the nine-point circle of a triangle—the circle that passes through the midpoints of the sides, the feet of the altitudes, and the midpoints of the line segments connecting the vertices to the orthocenter (the intersection of the altitudes). \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\u003eWrite a function that takes the x- and y-coordinates of three points describing the vertices of a triangle and returns the center and radius of the nine-point circle, as well as the x- and y-coordinates of the nine 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\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:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"364\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"364\\\"/\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\u003eImage from Wikipedia\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.svg\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.svg\",\"contentType\":\"image/svg\",\"content\":\"https://upload.wikimedia.org/wikipedia/commons/7/71/Nine-point_circle.svg\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":558,"title":"Is the Point in a Triangle?","description":"Check whether a point or multiple points is/are in a triangle with three corners\r\n Points = [x, y]; \r\n Triangle = [x1, y1; x2, y2; x3, y3]\r\nReturn true or false for each point tested.\r\n For example,\r\n input: Points = [0, 0.5]; Triangle = [0, 0; 1, 0; 1, 1]\r\n output: y = 0;","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: 174.167px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.5px 87.0833px; transform-origin: 406.5px 87.0833px; 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: 383.5px 10.5px; text-align: left; transform-origin: 383.5px 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: 249.017px 7.81667px; transform-origin: 249.017px 7.81667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCheck whether a point or multiple points is/are in a triangle with three corners\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: 403.5px 20.4333px; transform-origin: 403.5px 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: 1.11667px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1.11667px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1.11667px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1.11667px; 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: 403.5px 10.2167px; text-wrap-mode: nowrap; transform-origin: 403.5px 10.2167px; \"\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: 70.35px 8.375px; tab-size: 4; transform-origin: 70.35px 8.375px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e Points = [x, y]; \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: 1.11667px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1.11667px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1.11667px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1.11667px; 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: 403.5px 10.2167px; text-wrap-mode: nowrap; transform-origin: 403.5px 10.2167px; \"\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: 140.7px 8.375px; tab-size: 4; transform-origin: 140.7px 8.375px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e Triangle = [x1, y1; x2, y2; x3, y3]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 383.5px 10.5px; text-align: left; transform-origin: 383.5px 10.5px; 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: 131.767px 7.81667px; transform-origin: 131.767px 7.81667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eReturn true or false for each point tested.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 61.3px; 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: 403.5px 30.65px; transform-origin: 403.5px 30.65px; 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: 1.11667px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1.11667px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1.11667px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1.11667px; 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: 403.5px 10.2167px; text-wrap-mode: nowrap; transform-origin: 403.5px 10.2167px; \"\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: 50.8083px 8.375px; tab-size: 4; transform-origin: 50.8083px 8.375px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 19.5417px 8.375px; transform-origin: 19.5417px 8.375px; \"\u003e For \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 27.3583px 8.375px; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 27.3583px 8.375px; \"\u003eexample\u003c/span\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 3.90833px 8.375px; transform-origin: 3.90833px 8.375px; \"\u003e,\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: 1.11667px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1.11667px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1.11667px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1.11667px; 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: 403.5px 10.2167px; text-wrap-mode: nowrap; transform-origin: 403.5px 10.2167px; \"\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: 218.867px 8.375px; tab-size: 4; transform-origin: 218.867px 8.375px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e input: Points = [0, 0.5]; Triangle = [0, 0; 1, 0; 1, 1]\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: 1.11667px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1.11667px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1.11667px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1.11667px; 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: 403.5px 10.2167px; text-wrap-mode: nowrap; transform-origin: 403.5px 10.2167px; \"\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: 58.625px 8.375px; tab-size: 4; transform-origin: 58.625px 8.375px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e output: y = 0;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = your_fcn_name(Points, Triangle)\r\n y = 0;\r\nend","test_suite":"%%\r\nTriangle = [0, 0; 1, 0; 1, 1]; Points = [0, 0.5]\r\ny_correct = 0;\r\nassert(isequal(your_fcn_name(Points,Triangle),y_correct))\r\n\r\n%%\r\nTriangle = [0, 0; 1, 0; 1, 1]; Points = [0.8, 0.5]\r\ny_correct = 1;\r\nassert(isequal(your_fcn_name(Points,Triangle),y_correct))\r\n\r\n%%\r\nTriangle = [0.8147, 0.9134; 0.9058, 0.6324; 0.1270, 0.0975]; \r\nPoints = [0.8, 0.7; 0.9, 0.4]\r\ny_correct = [1 0];\r\nassert(isequal(your_fcn_name(Points,Triangle),y_correct))\r\n\r\n%%\r\nr = randi(10);\r\nTriangle = [0 0; 0 r; r 0]; \r\nPoints = 2*r*[1 1];\r\ny_correct = [0];\r\nassert(isequal(your_fcn_name(Points,Triangle),y_correct))\r\n\r\n%%\r\nfiletext = fileread('your_fcn_name.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || ...\r\n contains(filetext, 'flip(');\r\nassert(~illegal)\r\n","published":true,"deleted":false,"likes_count":36,"comments_count":12,"created_by":2906,"edited_by":223089,"edited_at":"2024-06-30T15:42:06.000Z","deleted_by":null,"deleted_at":null,"solvers_count":1717,"test_suite_updated_at":"2024-06-30T15:42:06.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2012-04-04T08:27:00.000Z","updated_at":"2026-04-07T03:06:47.000Z","published_at":"2012-04-04T08:31:13.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCheck whether a point or multiple points is/are in a triangle with three corners\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[ Points = [x, y]; \\n Triangle = [x1, y1; x2, y2; x3, y3]]]\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\u003eReturn true or false for each point tested.\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[ For example,\\n input: Points = [0, 0.5]; Triangle = [0, 0; 1, 0; 1, 1]\\n output: y = 0;]]\u003e\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":61082,"title":"Slicing the area of a circle","description":"Given the area, A, of a square, consider a circle having the area, πA, and the radius, r.\r\nFor a given slicing number n\u003e1, find the (n+1)×2 matrix, M = [A1/π a1; A2/π a2; ...; An/π an; A_r L], where\r\nin the first row (i=1), A1 stands for the area of one slice (like a pizza slice), and a1 stands for the logical 1 if A1 is smaller than or reaches the square's area A or a1 stands for the logical 0 if A1 surpasses A;\r\nin the second row (i=2), A2 stands for the area of two slices and a2 has the same previous false-true meaning relative to the areas A2 and A;\r\nand so on, until last slice of the circle;\r\nin the last row (i=n+1), A_r is the area of the rectangle, with dimensions L×r, which contains the maximum possible number of slices, such that have the true meaning of their sum has the area smaller or equal than the square's area, in their adjacent arrangement.\r\nHint: Compare with Problem 61081.\r\ninput: (A,n)\r\noutput: M = [A1/π a1; A2/π a2; ...; An/π an; A_r L]","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: 325.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 408px 162.75px; transform-origin: 408px 162.75px; 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: 384px 10.5px; text-align: left; transform-origin: 384px 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=\"\"\u003eGiven the area, \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, of a square, consider a circle having the area, \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eπA,\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and the radius, \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003er\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; unicode-bidi: normal; \"\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; padding-inline-start: 0px; padding-left: 0px; 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; \"\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=\"\"\u003eFor a given slicing number \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u0026gt;1\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, find 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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(n+1)\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e×\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e2\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e matrix, \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eM = [A1/π a1; A2/π a2; ...; An/π an; A_r L]\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, where\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 163.5px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 391px 81.75px; transform-origin: 391px 81.75px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 40.875px; 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 20.4375px; text-align: left; transform-origin: 363px 20.4375px; 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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ein the first row \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(i=1)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the area of one slice (like a pizza slice), and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ea1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the logical \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is smaller than or reaches the square's area \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e or \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ea1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the logical \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e0\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e surpasses \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 40.875px; 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 20.4375px; text-align: left; transform-origin: 363px 20.4375px; 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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ein the second row \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(i=2)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the area of two slices and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ea2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e has the same previous false-true meaning relative to the areas \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\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-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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand so on, until last slice of the circle;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 61.3125px; 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 30.65px; text-align: left; transform-origin: 363px 30.6562px; 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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ein the last row \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(i=n+1),\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA_r\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the area of the rectangle, with dimensions \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eL\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e×\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003er\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, which contains the maximum possible number of slices, such that have the true meaning of their sum has the area smaller or equal than the square's area, in their adjacent arrangement.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\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: 384px 10.5px; text-align: left; transform-origin: 384px 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=\"\"\u003eHint: Compare with \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/61081-slicing-the-area-of-a-regular-polygon\"\u003e\u003cspan style=\"border-block-end-color: rgb(0, 91, 130); border-block-start-color: rgb(0, 91, 130); border-bottom-color: rgb(0, 91, 130); border-inline-end-color: rgb(0, 91, 130); border-inline-start-color: rgb(0, 91, 130); border-left-color: rgb(0, 91, 130); border-right-color: rgb(0, 91, 130); border-top-color: rgb(0, 91, 130); caret-color: rgb(0, 91, 130); color: rgb(0, 91, 130); column-rule-color: rgb(0, 91, 130); outline-color: rgb(0, 91, 130); text-decoration-color: rgb(0, 91, 130); text-emphasis-color: rgb(0, 91, 130); \"\u003e\u003cspan style=\"\"\u003eProblem 61081\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; unicode-bidi: normal; \"\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; padding-inline-start: 0px; padding-left: 0px; 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; \"\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-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003einput:\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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(A,n)\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: 384px 10.5px; text-align: left; transform-origin: 384px 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-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eoutput: \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \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; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eM = [A1/π a1; A2/π a2; ...; An/π an; A_r L]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function M = slicing_circle(A,n)\r\n M = x;\r\nend","test_suite":"%%\r\nA = 8;\r\nn = 4;\r\ny_correct = [2 1; 4 0; 6 0; 8 0; 8*sqrt(2) 4];\r\nY = slicing_circle(A,n);\r\ntolerance = 1e-13;\r\nassert(all(Y(1:n) == y_correct(1:n)) \u0026 ...\r\n abs(Y(end)-y_correct(end)) \u003c tolerance \u0026 all(Y(1:end,2) == y_correct(1:end,2)))\r\n\r\n%%\r\nA = 36;\r\nn = 6;\r\ny_correct = [6 1; 12 0; 18 0; 24 0; 30 0; 36 0; 36 6];\r\ntolerance = 1e-13;\r\nY = slicing_circle(A,n);\r\nassert(all(Y(1:n) == y_correct(1:n)) \u0026 all(Y(1:n,2) == y_correct(1:n,2)) \u0026 ...\r\n all(abs(Y(end,:)-y_correct(end,:)) \u003c tolerance))\r\n\r\n\r\n%%\r\nA = 36;\r\nn = 12;\r\ny_correct = [3 1; 6 1; 9 1; 12 0; 15 0; 18 0; 21 0; 24 0; 27 0; 30 0; 33 0; 36 0; ...\r\n 37.92731310242232 6.32121885040372];\r\ntolerance = 1e-13;\r\nY = slicing_circle(A,n);\r\nassert(all(Y(1:n) == y_correct(1:n)) \u0026 all(Y(1:n,2) == y_correct(1:n,2)) \u0026 ...\r\n all(abs(Y(end,:)-y_correct(end,:)) \u003c tolerance))\r\n\r\n%%\r\nfiletext = fileread('slicing_circle.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || ...\r\n contains(filetext, 'str2num'); \r\nassert(~illegal)\r\n\r\n%%\r\nA = 70;\r\nn = 7;\r\ny_correct = [10 1; 20 1; 30 0; 40 0; 50 0; 60 0; 70 0; ...\r\n 94.4539467929851 11.28940594715244];\r\ntolerance = 1e-13;\r\nY = slicing_circle(A,n);\r\nassert(all(Y(1:n) == y_correct(1:n)) \u0026 all(Y(1:n,2) == y_correct(1:n,2)) \u0026 ...\r\n all(abs(Y(end,:)-y_correct(end,:)) \u003c tolerance))\r\n\r\n%%\r\nA = 70;\r\nn = 10;\r\ny_correct = [7 1; 14 1; 21 1; 28 0; 35 0; 42 0; 49 0; 56 0; 63 0; 70 0; ...\r\n 88.7511366850995 10.6077897676978];\r\ntolerance = 1e-13;\r\nY = slicing_circle(A,n);\r\nassert(all(Y(1:n) == y_correct(1:n)) \u0026 all(Y(1:n,2) == y_correct(1:n,2)) \u0026 ...\r\n all(abs(Y(end,:)-y_correct(end,:)) \u003c tolerance))","published":true,"deleted":false,"likes_count":0,"comments_count":10,"created_by":4993982,"edited_by":4993982,"edited_at":"2025-11-27T14:44:37.000Z","deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":"2025-11-27T14:44:37.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-11-20T14:17:04.000Z","updated_at":"2025-12-17T10:09:27.000Z","published_at":"2025-11-21T15:27:17.000Z","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 area, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, of a square, consider a circle having the area, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eπA,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and the radius, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003er\u003c/w:t\u003e\u003c/w:r\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\u003eFor a given slicing number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u0026gt;1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, find the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(n+1)\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e matrix, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eM = [A1/π a1; A2/π a2; ...; An/π an; A_r L]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, where\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ein the first row \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(i=1)\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the area of one slice (like a pizza slice), and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the logical \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is smaller than or reaches the square's area \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e or \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the logical \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e0\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e surpasses \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\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=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ein the second row \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(i=2)\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the area of two slices and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e has the same previous false-true meaning relative to the areas \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\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=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eand so on, until last slice of the circle;\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ein the last row \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(i=n+1),\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA_r\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the area of the rectangle, with dimensions \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eL\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003er\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, which contains the maximum possible number of slices, such that have the true meaning of their sum has the area smaller or equal than the square's area, in their adjacent arrangement.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHint: Compare with \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/61081-slicing-the-area-of-a-regular-polygon\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProblem 61081\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:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003einput:\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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(A,n)\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:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eoutput: \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:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eM = [A1/π a1; A2/π a2; ...; An/π an; A_r L]\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\"}]}"}],"term":"tag:\"circle\"","current_player_id":null,"fields":[{"name":"page","type":"integer","callback":null,"default":1,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":null,"static":null,"prepend":true},{"name":"per_page","type":"integer","callback":null,"default":50,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":null,"static":null,"prepend":true},{"name":"sort","type":"string","callback":null,"default":null,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":null,"static":null,"prepend":true},{"name":"body","type":"text","callback":null,"default":"*:*","directive":null,"facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":false},{"name":"group","type":"string","callback":null,"default":null,"directive":"group","facet":true,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"difficulty_rating_bin","type":"string","callback":null,"default":null,"directive":"difficulty_rating_bin","facet":true,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"id","type":"integer","callback":null,"default":null,"directive":"id","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"tag","type":"string","callback":null,"default":null,"directive":"tag","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"product","type":"string","callback":null,"default":null,"directive":"product","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"created_at","type":"timeframe","callback":{},"default":null,"directive":"created_at","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"profile_id","type":"integer","callback":null,"default":null,"directive":"author_id","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"created_by","type":"string","callback":null,"default":null,"directive":"author","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"player_id","type":"integer","callback":null,"default":null,"directive":"solver_id","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"player","type":"string","callback":null,"default":null,"directive":"solver","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"solvers_count","type":"integer","callback":null,"default":null,"directive":"solvers_count","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"comments_count","type":"integer","callback":null,"default":null,"directive":"comments_count","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"likes_count","type":"integer","callback":null,"default":null,"directive":"likes_count","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"leader_id","type":"integer","callback":null,"default":null,"directive":"leader_id","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"leading_solution","type":"integer","callback":null,"default":null,"directive":"leading_solution","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true}],"filters":[{"name":"asset_type","type":"string","callback":null,"default":null,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":null,"static":"\"cody:problem\"","prepend":true},{"name":"profile_id","type":"integer","callback":{},"default":null,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":"author_id","static":null,"prepend":true}],"query":{"params":{"per_page":50,"term":"tag:\"circle\"","current_player":null,"sort":"map(difficulty_value,0,0,999) asc"},"parser":"MathWorks::Search::Solr::QueryParser","directives":{"term":{"directives":{"tag":[["tag:\"circle\"","","\"","circle","\""]]}}},"facets":{"#\u003cMathWorks::Search::Field:0x00007ffbbf5876c8\u003e":null,"#\u003cMathWorks::Search::Field:0x00007ffbbf587628\u003e":null},"filters":{"#\u003cMathWorks::Search::Field:0x00007ffbbf586908\u003e":"\"cody:problem\""},"fields":{"#\u003cMathWorks::Search::Field:0x00007ffbbf587bc8\u003e":1,"#\u003cMathWorks::Search::Field:0x00007ffbbf587948\u003e":50,"#\u003cMathWorks::Search::Field:0x00007ffbbf5878a8\u003e":"map(difficulty_value,0,0,999) asc","#\u003cMathWorks::Search::Field:0x00007ffbbf587768\u003e":"tag:\"circle\""},"user_query":{"#\u003cMathWorks::Search::Field:0x00007ffbbf587768\u003e":"tag:\"circle\""},"queried_facets":{}},"query_backend":{"connection":{"configuration":{"index_url":"http://index-op-v2/solr/","query_url":"http://search-op-v2/solr/","direct_access_index_urls":["http://index-op-v2/solr/"],"direct_access_query_urls":["http://search-op-v2/solr/"],"timeout":10,"vhost":"search","exchange":"search.topic","heartbeat":30,"pre_index_mode":false,"host":"rabbitmq-eks","port":5672,"username":"cody-search","password":"78X075ddcV44","virtual_host":"search","indexer":"amqp","http_logging":"true","core":"cody"},"query_connection":{"uri":"http://search-op-v2/solr/cody/","proxy":null,"connection":{"parallel_manager":null,"headers":{"User-Agent":"Faraday v1.0.1"},"params":{},"options":{"params_encoder":"Faraday::FlatParamsEncoder","proxy":null,"bind":null,"timeout":null,"open_timeout":null,"read_timeout":null,"write_timeout":null,"boundary":null,"oauth":null,"context":null,"on_data":null},"ssl":{"verify":true,"ca_file":null,"ca_path":null,"verify_mode":null,"cert_store":null,"client_cert":null,"client_key":null,"certificate":null,"private_key":null,"verify_depth":null,"version":null,"min_version":null,"max_version":null},"default_parallel_manager":null,"builder":{"adapter":{"name":"Faraday::Adapter::NetHttp","args":[],"block":null},"handlers":[{"name":"Faraday::Response::RaiseError","args":[],"block":null}],"app":{"app":{"ssl_cert_store":{"verify_callback":null,"error":null,"error_string":null,"chain":null,"time":null},"app":{},"connection_options":{},"config_block":null}}},"url_prefix":"http://search-op-v2/solr/cody/","manual_proxy":false,"proxy":null},"update_format":"RSolr::JSON::Generator","update_path":"update","options":{"url":"http://search-op-v2/solr/cody"}}},"query":{"params":{"per_page":50,"term":"tag:\"circle\"","current_player":null,"sort":"map(difficulty_value,0,0,999) asc"},"parser":"MathWorks::Search::Solr::QueryParser","directives":{"term":{"directives":{"tag":[["tag:\"circle\"","","\"","circle","\""]]}}},"facets":{"#\u003cMathWorks::Search::Field:0x00007ffbbf5876c8\u003e":null,"#\u003cMathWorks::Search::Field:0x00007ffbbf587628\u003e":null},"filters":{"#\u003cMathWorks::Search::Field:0x00007ffbbf586908\u003e":"\"cody:problem\""},"fields":{"#\u003cMathWorks::Search::Field:0x00007ffbbf587bc8\u003e":1,"#\u003cMathWorks::Search::Field:0x00007ffbbf587948\u003e":50,"#\u003cMathWorks::Search::Field:0x00007ffbbf5878a8\u003e":"map(difficulty_value,0,0,999) asc","#\u003cMathWorks::Search::Field:0x00007ffbbf587768\u003e":"tag:\"circle\""},"user_query":{"#\u003cMathWorks::Search::Field:0x00007ffbbf587768\u003e":"tag:\"circle\""},"queried_facets":{}},"options":{"fields":["id","difficulty_rating"]},"join":" "},"results":[{"id":45537,"difficulty_rating":"easy"},{"id":47828,"difficulty_rating":"easy"},{"id":47450,"difficulty_rating":"easy"},{"id":44505,"difficulty_rating":"easy"},{"id":44629,"difficulty_rating":"easy"},{"id":45195,"difficulty_rating":"easy"},{"id":1693,"difficulty_rating":"easy"},{"id":45333,"difficulty_rating":"easy"},{"id":2154,"difficulty_rating":"easy"},{"id":44271,"difficulty_rating":"easy"},{"id":45178,"difficulty_rating":"easy"},{"id":43190,"difficulty_rating":"easy"},{"id":45538,"difficulty_rating":"easy"},{"id":59856,"difficulty_rating":"easy"},{"id":51102,"difficulty_rating":"easy"},{"id":47995,"difficulty_rating":"easy"},{"id":2377,"difficulty_rating":"easy"},{"id":49948,"difficulty_rating":"easy"},{"id":45358,"difficulty_rating":"easy"},{"id":45337,"difficulty_rating":"easy-medium"},{"id":45334,"difficulty_rating":"easy-medium"},{"id":45406,"difficulty_rating":"easy-medium"},{"id":837,"difficulty_rating":"easy-medium"},{"id":61088,"difficulty_rating":"easy-medium"},{"id":44369,"difficulty_rating":"easy-medium"},{"id":45349,"difficulty_rating":"easy-medium"},{"id":554,"difficulty_rating":"easy-medium"},{"id":58239,"difficulty_rating":"easy-medium"},{"id":54020,"difficulty_rating":"easy-medium"},{"id":45476,"difficulty_rating":"easy-medium"},{"id":61091,"difficulty_rating":"easy-medium"},{"id":45353,"difficulty_rating":"easy-medium"},{"id":44368,"difficulty_rating":"easy-medium"},{"id":44881,"difficulty_rating":"easy-medium"},{"id":45338,"difficulty_rating":"easy-medium"},{"id":45396,"difficulty_rating":"easy-medium"},{"id":58354,"difficulty_rating":"easy-medium"},{"id":61090,"difficulty_rating":"easy-medium"},{"id":45341,"difficulty_rating":"easy-medium"},{"id":45277,"difficulty_rating":"easy-medium"},{"id":1336,"difficulty_rating":"medium"},{"id":44367,"difficulty_rating":"medium"},{"id":44386,"difficulty_rating":"medium"},{"id":45340,"difficulty_rating":"medium"},{"id":58872,"difficulty_rating":"medium"},{"id":58852,"difficulty_rating":"medium"},{"id":1651,"difficulty_rating":"medium"},{"id":58956,"difficulty_rating":"medium"},{"id":558,"difficulty_rating":"medium-hard"},{"id":61082,"difficulty_rating":"medium-hard"}]}}