{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-08-24T00:15:41.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2026-08-24T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":61448,"title":"Gometry time2!(easy to medium)","description":"Given the same circle as ''Geometry time!'' below you are now requested to to find the length of the section OAB(L). However the radius of the circle must be found in a different way: You have to find first the average of the small base (b) and the big base(B) of the trapezoid also given below.\r\n         \r\nFurther explanation: 1)Theta angle(Θ) together with the area of the trapezoid(A_tp) will be given.\r\n2) You also are given that the height(H) of the trapezoid is the same as the third triangular number(https://en.wikipedia.org/wiki/Triangular_number)\r\n3) Theta will be in degrees this time!\r\nTip: L = perimeter.\r\nGOOD LUCK!!!!!!!!!!!!!!!!!!!!!!!","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 434.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 217.4px; transform-origin: 469px 217.4px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 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: 445px 31.5px; text-align: left; transform-origin: 445px 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 same circle as ''Geometry time!'' below you are now requested to to find the length of the section OAB(L). However the radius of the circle must be found in a different way: You have to find first the average of the small base (b) and the big base(B) of the trapezoid also given below.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 191.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 95.9px; text-align: left; transform-origin: 445px 95.9px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cimg class=\"imageNode\" width=\"202\" height=\"149\" style=\"vertical-align: baseline;width: 202px;height: 149px\" 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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFurther explanation: 1)Theta angle(Θ) together with the area of the trapezoid(A_tp) will be given.\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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 21px; text-align: left; transform-origin: 445px 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=\"\"\u003e2) You also are given that the height(H) of the trapezoid is the same as the third triangular number(\u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Triangular_number\"\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); row-rule-color: rgb(0, 91, 130); text-decoration-color: rgb(0, 91, 130); text-emphasis-color: rgb(0, 91, 130); \"\u003e\u003cspan style=\"\"\u003ehttps://en.wikipedia.org/wiki/Triangular_number\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: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e3) Theta will be in degrees this time!\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTip: L = perimeter.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGOOD LUCK!!!!!!!!!!!!!!!!!!!!!!!\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function L = FIND_THE_PERIMETER_OF_THE_SECTION(theta,A_tp)\r\n  \r\nend","test_suite":"%%\r\nA_tp = 6;\r\ntheta = 360;\r\ny_correct = 2 + 2*pi;\r\nassert(isequal(FIND_THE_PERIMETER_OF_THE_SECTION(theta,A_tp),y_correct))\r\n%%\r\nA_tp = 12;\r\ntheta = 720;\r\ny_correct = 4 + 8*pi;\r\nassert(isequal(FIND_THE_PERIMETER_OF_THE_SECTION(theta,A_tp),y_correct))\r\n%%\r\nfor i = 1:10\r\n    theta_test = randi([10, 350]);          \r\n    A_tp_test = randi([12, 600]);           \r\n    ref_fn = @(t,a) (a/6)*(2 + t*pi/180);\r\n    expected_L = ref_fn(theta_test, A_tp_test);\r\n    user_L = FIND_THE_PERIMETER_OF_THE_SECTION(theta_test, A_tp_test);\r\n    assert(abs(user_L - expected_L) \u003c 1e-6, ...\r\n        sprintf('Failed for theta = %g and A_tp = %g', theta_test, A_tp_test));\r\nend","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":5158730,"edited_by":5158730,"edited_at":"2026-08-23T20:35:18.000Z","deleted_by":null,"deleted_at":null,"solvers_count":1,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-23T17:05:01.000Z","updated_at":"2026-08-24T10:22:17.000Z","published_at":"2026-08-23T17:05:01.000Z","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 same circle as ''Geometry time!'' below you are now requested to to find the length of the section OAB(L). However the radius of the circle must be found in a different way: You have to find first the average of the small base (b) and the big base(B) of the trapezoid also given 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=\\\"149\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"202\\\"/\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\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"186\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"201\\\"/\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=\\\"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\u003eFurther explanation: 1)Theta angle(Θ) together with the area of the trapezoid(A_tp) will be given.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e2) You also are given that the height(H) of the trapezoid is the same as the third triangular number(\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Triangular_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ehttps://en.wikipedia.org/wiki/Triangular_number\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:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e3) Theta will be in degrees this time!\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTip: L = perimeter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGOOD LUCK!!!!!!!!!!!!!!!!!!!!!!!\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\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image2.png\",\"relationshipId\":\"rId2\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null},{\"partUri\":\"/media/image2.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\"}]}"}],"problem_search":{"problems":[{"id":61448,"title":"Gometry time2!(easy to medium)","description":"Given the same circle as ''Geometry time!'' below you are now requested to to find the length of the section OAB(L). However the radius of the circle must be found in a different way: You have to find first the average of the small base (b) and the big base(B) of the trapezoid also given below.\r\n         \r\nFurther explanation: 1)Theta angle(Θ) together with the area of the trapezoid(A_tp) will be given.\r\n2) You also are given that the height(H) of the trapezoid is the same as the third triangular number(https://en.wikipedia.org/wiki/Triangular_number)\r\n3) Theta will be in degrees this time!\r\nTip: L = perimeter.\r\nGOOD LUCK!!!!!!!!!!!!!!!!!!!!!!!","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 434.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 217.4px; transform-origin: 469px 217.4px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 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: 445px 31.5px; text-align: left; transform-origin: 445px 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 same circle as ''Geometry time!'' below you are now requested to to find the length of the section OAB(L). However the radius of the circle must be found in a different way: You have to find first the average of the small base (b) and the big base(B) of the trapezoid also given below.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 191.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 95.9px; text-align: left; transform-origin: 445px 95.9px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cimg class=\"imageNode\" width=\"202\" height=\"149\" style=\"vertical-align: baseline;width: 202px;height: 149px\" 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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFurther explanation: 1)Theta angle(Θ) together with the area of the trapezoid(A_tp) will be given.\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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 21px; text-align: left; transform-origin: 445px 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=\"\"\u003e2) You also are given that the height(H) of the trapezoid is the same as the third triangular number(\u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Triangular_number\"\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); row-rule-color: rgb(0, 91, 130); text-decoration-color: rgb(0, 91, 130); text-emphasis-color: rgb(0, 91, 130); \"\u003e\u003cspan style=\"\"\u003ehttps://en.wikipedia.org/wiki/Triangular_number\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: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e3) Theta will be in degrees this time!\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTip: L = perimeter.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGOOD LUCK!!!!!!!!!!!!!!!!!!!!!!!\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function L = FIND_THE_PERIMETER_OF_THE_SECTION(theta,A_tp)\r\n  \r\nend","test_suite":"%%\r\nA_tp = 6;\r\ntheta = 360;\r\ny_correct = 2 + 2*pi;\r\nassert(isequal(FIND_THE_PERIMETER_OF_THE_SECTION(theta,A_tp),y_correct))\r\n%%\r\nA_tp = 12;\r\ntheta = 720;\r\ny_correct = 4 + 8*pi;\r\nassert(isequal(FIND_THE_PERIMETER_OF_THE_SECTION(theta,A_tp),y_correct))\r\n%%\r\nfor i = 1:10\r\n    theta_test = randi([10, 350]);          \r\n    A_tp_test = randi([12, 600]);           \r\n    ref_fn = @(t,a) (a/6)*(2 + t*pi/180);\r\n    expected_L = ref_fn(theta_test, A_tp_test);\r\n    user_L = FIND_THE_PERIMETER_OF_THE_SECTION(theta_test, A_tp_test);\r\n    assert(abs(user_L - expected_L) \u003c 1e-6, ...\r\n        sprintf('Failed for theta = %g and A_tp = %g', theta_test, A_tp_test));\r\nend","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":5158730,"edited_by":5158730,"edited_at":"2026-08-23T20:35:18.000Z","deleted_by":null,"deleted_at":null,"solvers_count":1,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-23T17:05:01.000Z","updated_at":"2026-08-24T10:22:17.000Z","published_at":"2026-08-23T17:05:01.000Z","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 same circle as ''Geometry time!'' below you are now requested to to find the length of the section OAB(L). However the radius of the circle must be found in a different way: You have to find first the average of the small base (b) and the big base(B) of the trapezoid also given 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=\\\"149\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"202\\\"/\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\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"186\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"201\\\"/\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=\\\"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\u003eFurther explanation: 1)Theta angle(Θ) together with the area of the trapezoid(A_tp) will be given.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e2) You also are given that the height(H) of the trapezoid is the same as the third triangular number(\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Triangular_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ehttps://en.wikipedia.org/wiki/Triangular_number\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:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e3) Theta will be in degrees this time!\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTip: L = perimeter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGOOD LUCK!!!!!!!!!!!!!!!!!!!!!!!\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\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image2.png\",\"relationshipId\":\"rId2\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null},{\"partUri\":\"/media/image2.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZEAAAF0CAYAAADiqARmAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAGmZSURBVHhe7Z13VFRX18afOzMwoEYNVeyaoNixawQTgw0LNjRqYoklFsTeey/Yy9hee++KvaAmUexdY4wtiiU2NLbIIDDfH87wDYeBOecKTGH/1jor5uy9eXi8LrfDvWdfycXFRQcOVCoVlEolYmNjodOZL5EkCQ4ODkhISEBcXBwbNomohlqthqenJ2JiYvDs2TM2bBJRDfLBr0E++DXIB78G+eDXsIQPBZtAEARBELxQEyEIgiBkQ02EIAiCkA01EYIgCEI21EQIgiAI2VATIQiCIGQjeXl5mX2mS5IkKBQKqFQq7sfAFAoFlEoldDod16NmcjTUajVcXV0RGxuLFy9esOFkyNEgH/wa5INfg3zwa5APfg1L+JB8fX3NVxmJxcfHs6EUUSgU0Ol0XN8YZGgolUo4OzsjPj4eHz58YMMmEdUA+eDWIB/8GiAf3Brkg18DFvAh+fj4mFWSJCmJEM83Z8gHwPXNydFwcHBAtmzZEBcXh7dv37LhZMjRIB/8GuSDX4N88GuQD34NS/iQ6MR66pAPfg3ywa9BPvg1yAe/hiV80I11giAIQjbURAiCIAjZUBMhCIIgZENNhCAIgpANNRGCIAhCNtRECIIgCNlQEyEIgiBkQ02EIAiCkA1XE5Ekid0yi6GGt5Y3zxjS4Ic0+CENfkiDH3vVkDw8PMwfUdQXKJVK7lOQ0M9YAefxe8jQcHR0hLu7O7RaLddAM8jQAPng1iAf/BogH9wa5INfAxbwwTXFF3ohSZKg4xzsZcgHgISEBDZsElENwzRJrVaL6OhoNmwSUQ3ywa9BPvg1yAe/Bvng17CED8nV1dV8lb67qQTGBUuSBJVKBR3nSGLI0FCr1fDw8IBWq+WeRSOqQT74NcgHvwb54NcgH/walvCh0Om7j7kFINmeuSVaI5ovp0Y0X06NaL6cGtF8OTWi+XJqRPPl1Ijmy6kRzZdTI5ovp0Y0X06NaL6cGtF8OTWi+XJqRPPl1IjmszVcN9YJgiAIwhTURAiCIAjZUBMhCIIgZENNhCAIgpANNRGCIAhCNtRECIIgCNlQEyEIgiBkQ02EIAiCkI3CcOQ9taVQKJLtmVuiNaL5hhoYHds3t+RqsHupLdF8Qw354FuiNaL5hhrywbdEa0TzDTXkg2+J1ojmG2qS+MiVK9en44dmMBSKzGNRKBTQ6XTcNaIajo6OcHNzE5pFI6pBPvg1yAe/Bvng1yAf/BqW8ME9xVehUEChUCA+Pj7x2HtqSPrJkDqdjnuapKiGWq2Gm5sbYmNj8fz5czZsElEN8sGvYe0+nJ2dkTNnTuTMmRPZs2fHF198gaxZs8LZ2RlOTk5wdHSEg4MD1Go1smXLhvj4eLx79w7x8fGIi4tDbGwsYmJi8OHDB7x//x7v3r3D27dv8e+//+L169d48+ZNhvjg1bD268GrQT74NSzhQ3JxcTFfBUClUkGpVHIP6ZIkCQ4ODkhISOAeBCaqoVar4enpiZiYGO6BZqIa5INfw5I+3NzcULBgQeTPnx958+ZFnjx5kDt3bnh6esLT0xPu7u5Qq9VJvtbbt2/x7t07fPjwATExMdBqtfj48SN0Oh1UKlVi81AqlXBwcICjoyOcnJzg7OyMrFmzIlu2bFCpVIlfLz4+Hi9evMCzZ8/w9OlT/PPPP3j06BEePnyIqKgo3L9/Hw8fPgRS8ZEaor9XlrweqSGqQT74NSzhg5qIGcgHv0ZG+ChUqBBKliwJb29vfP311/D29kbhwoWRM2dOAMDz58/x8OFDPHr0CI8fP8aTJ0/w4sULvHz5Ek+ePMHLly8TPzmkhIiPrFmzImfOnHBzc4O7uzty5swJd3d35MqVC15eXsiTJw/y5s2LvHnzAgC0Wi3u3LmTuG7cuIE//vgD169fZ790MkR/r0R8GBDVsJc/V+SDX4P1QU3EDOSDXyOtfXz99dfw9fWFr68vSpcujZIlSyJHjhz477//8Ndff+Gvv/7CrVu3cOfOHfz999+4d+8e3r17l+RrwIyGKdLahyFeoEABFC5cGIULF4a3tzeKFi2KIkWKwM3NDXFxcbh27RquXLmCy5cv49KlS7h06VKyr5GaBkt6+GCxxT9XpiAf/BqsD2oiZiAf/Bqf66NSpUqoUqUKKlasiAoVKsDd3R0vXrzApUuXcOXKFVy9ehXXr19HVFSUVfvg0TC+Hu7u7ihevDhKlSqFUqVKwdfXFwULFkRMTAzOnTuHs2fP4vTp0zh37hz+++8/bo2M9mEv14N8pA7rg5qIGcgHv4aoD19fX3z33Xfw8/NDlSpV4OzsjKtXr+LMmTM4e/Yszp8/j7t37yapsUYfkKFhzoeHhwfKly+PChUqoGLFiqhSpQqUSiXOnz+P48eP4/fff8dvv/2WqpY1+DCFqAb54NewhI9Pz3YRRAaQI0cONGvWDBqNBtevX8fhw4fRrFkz3LlzB127doW3tze+++47DBw4EJs3b07WQDITz549w759+zBu3DgEBQXBy8sLTZs2xa+//oqKFSti69atePToEdauXYuOHTuiYMGC7JcgiAyBmgiRruTLlw+dO3fGli1bcPfuXUybNg1OTk6YMGECypQpgxo1amDkyJHYs2cPXr58yZYTeuLj4xEZGYnp06cjKCgIBQoUQOfOnfHPP/+gR48eOH/+PI4cOYJBgwahTJkybDlBpBvURIg0J1euXOjatSt27dqFS5cuoVu3brh16xaCg4NRqFAhdOzYEWvXrk183JUQ5927d9izZw/69++PsmXLIiAgAPv27UOtWrVw5MgRnDhxAoMGDYKPjw9bShBpCjURIk1wdnZGy5YtMX/+fBw9ehSdO3fGhQsXEBgYiHLlymHIkCE4evQoW0akEZcuXcLUqVNRs2ZNVK5cGRs2bIC/vz/Wr1+PrVu3olevXsifPz9bRhCfDVcTkSSJ3TKLoYa3ljfPGNLgJ700qlevjrlz5+Lu3bsYMWIEHjx4gPbt26N8+fIYNWoUzpw5w5YkwqthTHr5MMbWNW7fvo05c+agYcOGCA4OxtGjR9GqVStcvHgRGzZsQLNmzdgSQFDDQHr6MEAa/FhCg3vsiaQ/Ts97xx8AlEoloP95Lg+iGo6OjnB3d4dWq8WLFy/YsElENUA+kml8+eWXaNWqFVq0aIFixYrhwIED2Lp1K/bt22dTPlLC1q5HSrA+qlWrhqZNmyI4OBjv37/Hxo0bsXHjRty4cSOxRlQDFvDxifyYdPgsOpQEEHcVy/xqYsjf/18jqgGL+UgdUQ1YwIfk5eXF3UQkSYJOp+N6DMyQD4HBXqIaarUarq6uQgPNRDXIx/9rlC9fHq1bt0arVq0QFRWFTZs2YfPmzXjw4AFgQz7MYe8+nJycEBwcjBYtWqBChQo4fPgw1q1bh3379glrWMxHwen47UQreMcBUAFRO1qgSvfjiTWiGhbzYQZRDUv4kFxdXc1X6bubSqXifpZYkiSoVCrodDruDieqoVar4eHhAa1Wy/3ctagG+VChbt26aNeuHapXr47Dhw9jzZo12LVrF5tu9T54NTKTj8qVK+PHH39E69atcfPmTaxatQpr1qzB+/fvuTQs5cN/8Xlsb1oA948fg7OfPzyidqNJufY4pq8R1bCUD3OIaljCh0Kn7z7mFoBke+aWaI1ovpwa0Xw5NaL5cmpE8+XUtG/fHkeOHMHSpUvx999/o0aNGmjRogV27tyZLNewRDVE8+XUiObLqRHNl1Mjms9Tc+rUKYSGhqJ48eLYvn07QkNDcfnyZQwZMgTu7u7J8k0tcxrsEs1PXvMjuvsVAPAMN9duweVnAPJXQvdWKeXzLdEa0Xw5NaL5cmpE89karhvrROZBpVKhR48euHr1KoYMGYJ9+/ahePHi6Nu3L65cucKmE3bC06dPERYWhtKlS2PSpEkIDAzE9evXMXHiROt7qqt1A5TxAPDsMnZvWoMtF54B8ID/j33ZTCIDoCZCAPrm0atXL/zxxx/o2rUrFi9ejNKlSyMsLIz7ozdhH6xatQr+/v7o0qULKlSogIsXLyIsLAwFChRgUy1C3x/94QHg2YUtWANgy/9+x30AThUaYkohNptIb6iJEOjevTuuXr2Kjh07YubMmShZsiTmzp0LrVbLphKZiK1bt6J27dr4+eefUbp0aVy4cAETJ05Erly52NQMZCwaVnACcB+//2/Lp61f1+DsXQCq0qg1xJ8tINIZaiKZmDZt2uD8+fPo1asXNBoNSpcujYULF7JpRCZn586dqFu3Ljp27IjKlSvj8uXLGDp0KJydndnUdKfAZH+UVgG4exZrfjXsHsPEw59+1FrAPwQ/GRcQ6Q41kUxIYGAgIiIiEBYWhk2bNqF06dKYN28em0YQSdixYwcCAgLQt29fNGnSBJcuXULnzp3ZtHSkCoYGlAYA3Dw1MfFJLAC4v+gMrsQB8PDHT/2NAkS6Q00kE1GiRAmsWLECa9aswYULF+Dr64spU6bQj60IIdauXYuKFSti3rx5GDZsGA4dOoTAwEA2Le35pjUqFv70yyKtLyA6Ovr/17lOnz6hwAkVG0yBlT0KYNdQE8kEODk5YcyYMYiIiIBCoUBAQAAGDhyIp0+fsqkEwc3cuXNRrlw5nD59GitWrMDy5ctRtGhRNi3NaNauLAoAQPR93PzzZvJ16xliAKBULQz5lq0m0gtqInZOy5YtcfbsWdSuXRu//PIL2rZtm+y1qwQhl5cvX2L48OGoW7cusmbNmjg9OO3phOAKbgBicHZxOVT1q5p8VZmAY88AoAD8urRmvwCRTnCNPZEkCQqFQuhUo0KhgFKphI7z5KQcDcPx+9jYWK5ZNHI0bNVHkSJFMHToUNSuXRszZszAjBkzbNIHi61eDxZ79dGiRQsMHjwYr1+/xsSJE3Ho0KEk+XI01Go1XAeFI7Jraajfn8cU74aYzSbp8Zt/Cpsa5wfen8f0ksGYwanB+jCHbB8ZfD3MIUeD9SH5+vqarzIS4x3qBb0hndEJR3OIaiiVSjg7OyM+Ph4fPnxgwyYR1YAN+vj555/Rs2dPHDt2DHPmzMHt27cBG/SREuSDT8NSPpydnREaGopWrVph27ZtmDVrFt6+fZuYL6qhVObD0PU70dQbeBE5BrV67GBT/p98o7BtZ2MUAvDXugpoOZVPAyZ8mEPch2WuhzlENVgfko+Pj1klST+gyyDE880Z8sE5TVKOhoODA7Jly4a4uLgkf0hTQo6GLfkoVaoUBg0ahCJFimDq1KnYvHlzkhpb8ZEa5INfw9I+qlSpggEDBsDd3R1TpkzBnj17ZGk4fDUBO3c3RUFE4/dBfuiyk80wJi9GbD+E1j4AbqxH7abj8IBDIzUfppDlw8LXwxRyNFgfkouLi/kqGS9zlyzwwngeRDVsxUe/fv0wdOhQbNu2DSNGjMCTJ0+S5NuKD3OQD34Na/ExdOhQ9OvXD+vXr8fQoUPx33//CWlYiw8WUQ179UE31m0cHx8f7NixAz169EBoaCg6d+6crIEQhCWZOHEi6tevj2LFiuH48eMZ8zgwkWFQE7Fh2rZti99++w1v376Fv78/1q1bx6YQhFVw6tQpBAQEYPv27VixYgVGjx7NphA2CjURGyRLliyYN28eJk+ejNGjR6NNmzZ4+PAhm0YQVseoUaPQpk0b1K9fHwcOHEDp0p9OoBO2CzURG6NatWo4evQofHx80KBBAyxYsIBNIQir5uDBg6hVqxYePHiAI0eOoF27dmwKYUNQE7EhunXrhp07dyIyMhK1atXChQsX2BSCsAn+/fdfdOrUCaNGjcKMGTMwffp0NoWwEaiJ2ACSJGHu3LkYP348+vXrh759+3I9RUEQ1o5Go0GjRo3w7bffYv/+/ShSpAibQlg51ESsnKJFi+LgwYOoWLEi6tatixUrVrApBGHTHD9+HLVq1cLz589x4MABNGjQgE0hrBhqIlZMYGAg9u/fj8ePH6N27do4e/Ysm0IQdsGrV6/Qpk0bLF26FCtXrkSvXr3YFMJK4WoikiSxW2Yx1PDW8uYZY88aXbt2xZo1a7BixQq0a9cOb968SZYvgimN1ODNM4Y0+CEN04wfPx49evTAyJEjMWPGDCAdNExBGvywGpKHhwfXD9clSYJSqeQ+BQn9jBVwHr+HDA1HR0e4u7tDq9VyDTSDDA1YwMe4cePwyy+/oH///li9ejWbDsjQgAV88CCqAfLBrWHLPqpUqQKNRoNbt26hV69eUKlUNunDGFu+HsawPrim+EIvJEkSdJyDvQz5AJCQkMCGTSKqYZgmqdVqER0dzYZNIqqRkT4+fvyI8ePHw9/fH927d8evvya+/zMZohoZ6cNergf5MK+RVj48PDyQP39+nDt3LjEvT5480Gg0yJkzJ0aOHIk//vjD6n2khi1dj9RgfUiurq7mq/TdTSUwLliSJKhUKug4RxJDhoZarYaHhwe0Wi33LBpRjYzyUbx4cUyePBlZs2ZF586d8eeff7JpSRDVyCgf9nI9yAefRlr52Lx5M9RqNYKCgpLkKhQKLF26FNWrV0efPn2wc2eq0xcTMaWRGmnlIzVs6XqkButDodN3H3MLQLI9c0u0RjRfTo1ovpwa0fwiRYpg8eLFiIuLQ1BQEK5fv54sh12iGnJqRPPl1Ijmy6kRzZdTI5ovp0Y0X06NaL6cGjZ/0qRJKFasGLp3754sNz4+Hl26dMG+ffuwbNkyNGrUKFmOqcVq8CzRGtF8OTWi+XJqRPPZGq4b60T6UalSJWzcuBG3b99G+/btuT/mEoQ98Msvv6Bz584ICQnBgwcP2HAiU6ZMgUajwdKlS9G2bVs2TFgQaiIWpEaNGti6dSsiIiIwcOBANkwQds3333+PSZMmYeDAgane/zMwb948DBs2DDNnzkT37t3ZMGEhqIlYiMDAQGzZsgWrVq1C//792TBB2DUFChSARqPBokWLsHTpUjacIgsXLkSvXr0wbtw49O3blw0TFoCaiAUICgrCmjVrMGvWLAwbNowNE4TdM3v2bFy+fBlDhw5lQ2ZZs2YNunTpgmHDhmHQoEFsmMhgqIlkMI0aNcLy5csxdepUjBs3jg0ThN0za9YseHh4ICQkhA1xs2XLFnTo0AEDBw7EkCFD2DCRgVATyUCCgoKwbNkyhIWFYfLkyWyYIOyeXr16oVWrVujVq9dnP0QSHh6O9u3bo3///hg8eDAbJjIIaiIZRGBgYOInkClTprBhgrB7GjRogJEjR6JXr15pNgdu165d+PnnnzFgwAC6t2ghqIlkADVq1Ei8B0KfQIjMSPHixTF//nzMnDkTGzZsYMOfxc6dO/HLL79gyJAh6NGjBxsm0hmF4ch7akuhUCTbM7dEa0TzDTUwOrZvbsnVYPdSW2x+5cqVsWrVKixatAjjx49Plm+osXYfPIt88C/RGtF8Q401+HBycoJGo8Hhw4cxceLEZHFzi8fHtm3b0LNnT4wZMwYdO3ZMFje3eHx8Tr6hxpwPNp/dM7dEa0TzDTVJfOTKlevT8UMzGApF5rEoFArodDruGlENR0dHuLm5Cc2iEdX4HB/e3t7YtGkTIiIi0K9fPzYtEWv3wZtPPvg1MpOPhQsXwtvbGw0aNMCHDx+ENUR8dOjQARMmTECPHj2wfft2bg0eHyzp6cOAqIYlfCizZMkymj3SbmpB/w0mJCQki5lahnyd3gwbN7VENZRKJbJkyYL4+Hi8f/8+WdzUEtWQ68PT0xOrV6/G5cuXERISkizHeFmzDxEN8sGvkVl8DBw4EK1atcJPP/2ER48eydIQ8XHhwgXEx8dj4sSJuHjxIu7evZssx9Qy58PUSk8fhiWqYQkfkouLy6evYgaVSgWlUsk9pEuSJDg4OCAhIYF7EJiohlqthqenJ2JiYrgHmolqyPHh6OiIHTt2IDY2Fo0bN2bDybBWH6Ia5INfIzP4aNGiBRYsWIAOHTogPDw8cV9UQ46PCRMm4KeffkKjRo1w6dIlNpyM1HykREb4ENWwhI9Pn2OINGXRokXImTMnOnXqxIYIIlNQvnx5aDQaTJgwIUkDyShGjRqFAwcO4H//+x9y5crFhok0hJpIGjNhwgRUr14d3bp14/65J0HYEzlz5oRGo8GmTZsS305oCUJDQ/Ho0SMsXryYDRFpCDWRNKRbt27o2rUrunbtihs3brBhgsgUaDQa/Pvvv591Ij2t+OWXX5ArVy7Mnz+fDRFpBDWRNCIwMBDjx49H3759cfToUTZMEJmCcePGoVKlSlbRQADg+fPn6NKlC5o2bUpzttIJaiJpQNGiRTF//nzMmTMHK1euZMMEkSlo3749unfvjpCQENy5c4cNW4yLFy+iW7duGDhwIJo3b86Gic+EmshnIkkS5s2bh99//x1jxoxhwwSRKfDz88P06dMxbNgwHDx4kA1bnO3bt2PixImYN28eypQpw4aJz4CayGcyZ84cfPHFFwgNDWVDBJEp8PLywpw5c7Bs2TIsXLiQDVsN06dPx44dOzB37lyo1Wo2TMiEmshn0K1bN7Ru3RqhoaF48+YNGyaITMGcOXNw584dDBgwgA1ZHT179gT07zMh0gauJiJJErtlFkMNby1vnjGW1KhWrRrGjx+Pfv36JZlIyubxkJJGSvDmGUMa/JAGP9OmTUOhQoXQq1cvNmQSORpp6UOr1aJXr15o3rx5klfspqVGStirhuTh4WH+iKK+QKlUcp+CBAClUgkAiI+PZ0MmEdVwdHSEu7s7tFotXrx4wYZNIqoBEz6yZMmCiIgInDhxwuT4aVENS/kwh6gG+eDXgB346Nq1K8aMGYPg4GCcOHHCpny0adMG06ZNQ+PGjXHy5EnADq6HgYz2IXl5eXE3EUk/k4XnaLwhHwKDvUQ11Go1XF1dhQaaiWqY8jFnzhz4+PigTp06Jr+GqIalfJhDVIN88GvYuo9atWph5cqVGDRoENauXQvYoI+pU6eiYsWKqFOnDmJjY236ehiwxJ8rydXV1XyVvrupVCru+SqSJEGlUkGn03F3OFENtVoNDw8PaLVa7lk0ohqsj59//hlTp05FnTp1cP78eTYdkKFhCR88iGqQD34NW/bx9ddfY9++fVi3bh1Gjx5tsz5UKhWOHj2KCxcuoHfv3jbrwxhL/LlSOjs7j2aTTKHQz52Pj4/nEoL+m9MJjiQW0VAqlciWLRvi4uLw/v17NmwSUQ0Y+ShatCjWrl2LUaNGpToPSFQjo33Yy/UgH6mTHj4kScK6detw69atxCcSbdEH9P9S//PPPzF58mQ8ePAA169ft0kfLBl9PbhurBOfmDRpEg4cOEAjFIhMi0ajQY4cOZLclLZlTp48iQkTJmDSpEnIly8fGyY4oCbCSZ8+fVCmTBkMGTKEDRFEpqBfv34IDg5G9+7d8fr1azZss8yYMQPnz5/H2LFj2RDBATURDsqWLYvBgwdj2LBhePjwIRsmCLuncePGGDp0KEJCQnDhwgU2bPMMGzYMdevWRYcOHdgQYQZqIhyMGjUK27dvx7p169gQQdg9pUqVgkajwdSpU7F582Y2bBfcuHEDo0ePxujRo1GwYEE2TKQCNREz9OrVC8WKFcPo0VzPHxCEXZElSxbMnz8fe/fuxeTJk9mwXbFo0SKcOnWKZuAJQk0kFYoWLYoRI0Zg3LhxePLkCRsmCLtn/vz5+Pjxo9WMdk9vxo4diwYNGqBVq1ZsiEgBaiKpMHLkSBw8eBBr1qxhQwRh94wYMQI1atRASEgIYmNj2bBdcu3aNUyePBkjR45E9uzZ2TBhAmoiKdCyZUvUrVsX48aNY0MEYfe0bt0avXv3Rvfu3fHnn3+yYbtm6tSpePbsGUaMGMGGCBNwjT2RJAkKhULoVKNCoUg89MJzclKOhuH4fWxsLNcsGl4NJycnREZGYv369ZgxY4bN+jDGlq+HMeSDX0OujypVqmDz5s2YMGECNBoNm5YEa/YhosH6CAgIwOrVq9GsWbPE2VrGyNGwhA9zyNFgfUi+vr7mq4zE4jmHekFvSMc5jwUyNJRKJZydnREfH48PHz6wYZPwaPTp0wfVq1dHkyZNABv2wUI++DQysw9XV1esWLEC586d477BbI0+RDVgwsfYsWORJ08edOzYkU0FZGhYyoc5RDVYH5KPj49ZJUk/oMsgxPPNGfLBOU1SjoaDg0Pi8fu3b9+y4WTwaPj4+GD79u3o06cP9u/fb7M+WMgHv0Zm9rFo0SJkyZIFbdq04dKwVh+iGqZ85M6dGwcOHMD48eOxcePGZPmiGpbykRpyNFgfkouLi/kq/bAypVLJ/ZFHkiQ4ODggISGB62MVZGio1Wp4enoiJiaGe6CZOY1Vq1ZBqVTixx9/BGzYBwv54NfIrD4mTpyIJk2aICgoCLdv3+bSsEYfkKGRko++ffuiU6dOKFeuHGJiYpLUiGpY0kdqiGqwPujGuhGBgYGoX78+wsLC2BBB2DWdOnVCly5d0LNnT0RFRbHhTMuMGTPw7t07m3hro6WgJmJEv379sHTpUly+fJkNEYTdUqNGDUyZMgWDBw/G0aNH2XCmZ9q0aejduzedZE8BaiJ62rRpgxIlSmD69OlsiCDslvz580Oj0WDx4sX43//+x4YJAJs2bcKJEyfQp08fNkRQE/l/evfujVmzZuHp06dsiCDsFo1Gg2vXrtF0ajPMmjULP/30E3x9fdlQpoeaCIDu3bsjW7ZsmDVrFhsiCLtl1qxZyJ07d6YZafI5HD58GPv370evXr3YUKYn0zcRlUqF0NBQzJkzB1qtlg0ThF0SGhqKNm3aICQkBM+fP2fDhAnmzJmDoKAgVK1alQ1lajJ9EwkJCcHHjx/NnswlCHuhXr16GD16NHr27IlTp06xYSIFTp8+jfDwcPrkxpCpm4hKpUL37t3pdbdEpsHHxwfz58/H7NmzsXbtWjZMmEGj0SAwMJA+jRjB1UQkSWK3zGKo4a3lzTPmczW6du2Kjx8/YuHChUn2jflcDR5Igx+b0Zh7EtHR0Yg+NRu1Ru/AhajoT///6C5OLuiYNhpmYDUcHByg0Wjw22+/mXwVbFpomIM3zxhr0jh//jx27tyJbt26sSGz8GoY4M0zxhIakoeHh/kjivoCpVLJfQoS+hkr4Dx+Dxkajo6OcHd3h1ar5RpoBkbj4sWLWLJkidkfZVm7D17IB59GmviYdQxPWxUBXr/G6xw5kCNOC60WUGcFri7yQ82RURnuY8GCBShWrBjq16+P9+/fs+mADA3YyvXggNdHpUqVsGvXLgQGBuLKlSvcGtbmw4CoBuuDa4ov9EKSJEHHOdjLkA8ACQkJbNgkohqGaZJarRbR0dFs2CQGjTZt2mDw4MHw9fVN9Ya6tfvg1SAf/Bpp4mPGb3jc0vtT8MFeDP2hE1bcA1CmJEpevoY/MthH+/btERoaioYNG+Lq1atsaiKiGjZzPcwg6mP16tX4999/0atXL24Na/QBGRqsD8nV1dV8lb67qQTGBUuSBJVKBR3nSGLI0FCr1fDw8IBWq+WeRWPQOHz4MPbs2YNJkyaxKUmwdh+8GuSDXyNNfMw5gRetiwB4jWMjvkKTBUnzM9JHrVq1EBYWhs6dO2P79u1sWhJENTLSx2ddDzOI+ggICMDGjRvh7++PGzducGlYow/I0GB9KHT67mNuAUi2Z26J1ojmy6kBgPr168PHxwdLly5NFje15Giwe+aWaI1ovpwa0Xw5NaL5cmpE8+XUJMuHgae4Pz95vskaM0s0X6fToUSJEpg0aRImTZqEbdu2JYuzS46GaI1ovpwa0XzRmoiICJw7dw5t27ZNFkttiWjIyZdTI5rP1nDdWLc32rZti5UrV9LpdCL9ef0UN9m9DCJ79uwYO3Ys9uzZg2nTprFh4jNZuXIl2rRpg2zZsrGhTEWmayLly5eHn58fVq5cyYYIwq6YPXs23r9/TyNN0olNmzYhOjoabdu2ZUOZikzXRH766SccPXoUV65cYUMEYTeMGTMGlStXxsiRI7lvsBLirF27Fm3atGG3MxWZqom4uLigdevWWL9+PRsiCLuhbdu26NGjB3r16oV79+6xYSINWb9+Pby9vVG3bl02lGnIVE2kVatWiIqKwu7du9kQQdgF1apVw8yZMzFixAgcOnSIDRNpzNOnT7F582a0bt2aDWUaMl0T2bBhA7tNEHZBrly5oNFosGLFChrlk4GsX78e9evXR4ECBdhQpiDTNJHq1aujWLFi2LRpExsiCLtAo9Hg3r176NevHxsi0pHff/8d169fR4sWLdhQpiDTNJHmzZtj//79ePDgARsiCJsnLCwMRYoUoQmzFmLTpk2Zt4kYjrynthQKRbI9c0u0RjTfUAOjY/sprSxZsiA4OBhbt25NFjO3RL8v0XxDDY8P43x2z9wSrRHNN9SQD/3q+Q3c3Nzg9lUTzGdjKdWkslLL79q1Kzp27IiQkBA8fvw4Sc1n+zCzRGtE8w011u5j69atKFy4MGrUqJEs17jG2n3wrGQ+cuXK9f+Ha1PBUMj7uKBBTKfTcdeIajg6OsLNzc3sLJqWLVti5MiRKF68uLCGNfkwRlSDfPBr2JKPgIAArFmzBoMGDcKqVauMsm3LR2rYio8VK1bg1atXKb6L3VZ8mIP1oUhISADvgv6oO7uf0jIci2f3U1siGsZH8NmY8QoKCkJ4eHji/4toJFiRD3aJaCSQD+4aW/FRoEABzJ49GwsXLsSKFSuS5dqKD3PLVnzs2LEDQUFBUCgUyfISbMiHucX6kFxcXLg+iahUKiiVSu4hXZIkwcHBAQkJCdyDwEQ11Go1PD09ERMTk+JAszx58uDKlSsICgpCZGSksIa1+GAR1SAf/Bq24mPfvn149epVio+X2ooPc9iKD6VSiXv37qF3797YunUrm24zPszB+vj0OcaOadiwIe7du4fIyEg2RBA2y7x58+Di4kI30q2I+Ph47Ny5Ew0bNmRDdo3dN5H69evT4ULCrujTpw9atmyJkJAQvHr1ig0TFmT37t1o0KABsmbNyobsFrtuIvny5cM333yDPXv2sCGCsEkaNGiAYcOGISQkBOfOnWPDhIXZt28f3r59i3r16rEhu8Wum0jdunVx//59nDlzhg0RhM1RokQJzJ49G9OnT8fGjRvZMGEl7Nu3L1PN0rLrJlKnTh0cOHCA3SYIm8PJyQlz5szBoUOHzL6Nk7As+/fvR926dRMfnbV37NZljhw5UKNGDRw8eJANEYTNMX/+fOh0OvTq1YsNEVbGwYMH4ejoiNq1a7Mhu8Rum0jNmjXx5s0bHD16lA0RhE0xbNgw1KxZEz179oRWq2XDhJURExODiIgIBAQEsCG7xG6byPfff48jR46w2wRhU7Rs2RJ9+/ZFSEgIrl+/zoYJK+Xw4cPURIyRJIndMouhhreWN8+Y1DRq1KiRrImYyjNHahqm4M0zhjT4yUwaFStWhEajwbhx42Q9ps6jYQxvnjGkYZojR46gQIECKFGiROJeWmuYwhIakoeHh/kjivoCpVLJfQoSAJRKJaA/hMODqIajoyPc3d2h1Wrx4sWLxH1fX18cOHAA5cqVw6NHj5LUiGrAgj5SQ1QD5INbwxp8uLi4YM+ePTh9+jR69+4NyNCwBh+mENWwVR/Hjx/HmjVrsHDhQsCGfbCwPiQvLy/uJiJJEnRGc1NSw5APgcFeohpqtRqurq7JBpqFhISgSZMmqFmzZpJ8yNCwpI/UENUgH/wa1uBj1apVyJ49Oxo3bpy4J6phDT5MIaphqz4mTJiAfPnyoW3btoAN+2BhfUiurq7mq/TdTaVScc9XkSQJKpUKOp2Ou8OJaqjVanh4eECr1SaZRbNx40bcvn0bw4YNS5IPGRqW9JEaohrkg1/D0j7Gjx+P4OBgBAYG4u+//07cF9WwtI+UENWwVR8NGjTA/PnzkT9/fsCGfbCwPhQ6ffcxt6Cf8iiyRGtE81Oq+eabbxAZGZlsP6V8c0u0RjRfTo1ovpwa0Xw5NaL5cmpE8+XUiOanVPPzzz+ja9euCAkJwd27d83mm1uiNaL5cmpE8+XUiObLqTGXHxkZiSxZsqBy5crcNewSzZdTI5rP1nDdWLclKleuDGdnZ5w8eZINEYRV8+2332Lq1KkYMmQIIiIi2DBhY7x8+RKXL19G1apV2ZBdYXdNpEqVKrh69SpevnzJhgjCasmbNy80Gg2WLFmCxYsXs2HCRjl16hQqV67MbtsVdtdEKlasSLOyCJtDo9Hgxo0bGDRoEBsibJgzZ86gUqVK7LZdYZdN5OzZs+w2QVgtM2bMQP78+endIHbIuXPnkCNHjiTnRewNu2oiX3/9Ndzc3HD+/Hk2RBBWSbdu3dCuXTuEhITg6dOnbJiwcR4+fIgHDx6gXLlybMhusKsm4uvrixcvXuDu3btsiCCsjtq1a2P06NHo3bs3Tpw4wYYJO+HixYsoW7Ysu2032F0TuXTpErtNEFaHt7c35syZg3nz5mH16tVsmLAjLl26BF9fX3bbbrCrJlK6dGlcuXKF3SYIq0KpVEKj0eDEiRMYN24cG07CvHnzcPHixcQDa4TtceXKFZQuXRpK/TgSe4Nr7IkkSVAoFEKnGhUKBZRKJXScJyflaBiO38fGxuLFixe4ceMG+vfvn+KwOjkalvBhDjka5INfI719zJ07F6VKlULTpk3x5s2bVH3ky5cPM2fORL58+bBlyxbMmTOHSwMCPvI3HoSR7ZvAr0x+ZFfrN+O00L6Jwtl96zFHsxDH7zFFeuzheiCdfbi6uuLq1asICgrC48ePbdaHAfZ6SL6+vuarjMR4h3pBb0hndMLRHKIaSqUSzs7OiI+Ph6urK3bt2oXGjRvj/v37bGoiohrIYB8fPnxgwyYR1QD54NZITx+//PILOnfujHbt2uHGjRtcPnLnzo2goCB06dIFixcvxoIFC9gUk5j34YNO86ahU7U8UAOA9i2i/3mBN/EAsrmhkOcXn9K0j3B4ehf035x0mKkBW74exqSnj3379mHRokWIiIiwaR8wcT0kHx8fs0qSfkCXQYjnmzPkg3OapBwNBwcHZMuWDXFxcahYsSKmTZuW6lMQcjQy2sfbt2/ZcDLkaJAPfo308lGvXj1Mnz4d/fv3x969e4V95M2bF8uXL8eZM2cwdOhQNiUZqfvIi59XbMXAytmB+Be4tH4Wxk3chhvGPkq0wtSJvdDA+1POqZmt8PPSh0m+ii1fD2PS28eiRYtw7949LFy40KZ9wMT1kFxcXMxXAVCpVFAqldwfeSRJgoODAxISErg+VkGGhlqthqenJ2JiYtC6dWvUr18ftWrVYtOSIKqR0T54B7OJapAPfo308FGmTBns378fM2fORFhYmGwfBQsWxObNmxEZGYkePXqwKUlIzYf/zJPY0LYInPAax0bXQOO5nz69J/dRC7NPrcBP3k5A9DGMrNMYmv+fCSnbR2q/Vyyp+UgJUY309jFmzBiULFkSffr0sWkfMHE97ObGepEiRXDz5k12myAsTrZs2aDRaLBz506EhYWxYSEePHiAxo0bo1q1apg3bx4b5uQnhNQtAicAzyJGJjYQ0xxCr1ZLcSUGgKs/Og7xZxMIDm7evImvv/6a3bYL7KaJeHt749atW+w2QVic+fPn48OHD2l2Ij0qKgqNGjVCq1at5I1J6RaMSh4AcB9nFqxho8n5eyR2XYoBABTwD0EwGyfMcuvWLeTNmxdZsmRhQzaP3TSRwoUL486dO+w2QViUUaNGwc/PDyEhIdw/XuAhKioKPXr0QMuWLVGtWjU2nCr+FfMjBwC8jsKZX9moaWZc1H/K9ygA+iwijuHvJnt8VNsumoiLiwty5syZ5AU+BGFpfvrpJ/Ts2RMhISHp8qPW9evXY8OGDcI/1irtkvPTL6KfwvTD8CZ49BqvAQCeKNCZDRLmiI6OxqtXr5AvXz42ZPPYRRMxXJh791J4mJ0gMpiqVati9uzZGDVqFPbt28eG04z169cjKipKqJEUccvx6RfxMfh0N2Q2TkZHIzo6Gk+fPsXjx4/x4sULREdH4+4OEz+CU7EbBA/3799Hnjx52G2bxy6aSJ48efD8+XO8e/eODRFEhuPh4QGNRoNVq1YJ/eUuh6ioKGzYsAHVqlXj/lHJzRefPlMQGcuDBw+oiVgruXPnxsOHSZ9fJwhLodFo8PDhQ/Tp04cNpQuRkZGIiorCwIED2ZBJrrz899MvXAqgIwCgF6q6usLV1RWenp7InTs33Nzc4OrqisKNNZ9y8+T4dB8FT3Gf76wjwfDw4UN4eXmx2zaPXTSRXLly4dEj06dpCSIjmTx5MooXL55mT2LxEBUVhbCwMO5PI8fORn26v+GaH9W/Y6Om6Vu2yKdfPLuPY2yQ4OLx48fw9PRkt20eriYiSRK7ZRZDDW8tb54xhppcuXLh8ePHbDgZn6PBW8ubZwxp8GPNGh06dECnTp0QEhKCBw8esGlJkKuREoZPI61atUrcS1FjwRaceQYABeDf+/+bXbI8A4XGoqGvEwDg/jENthiFUtRIAd48Y+xF459//oGHhwd3LW+eMRnhg9WQPDw8zB9R1BcolUqhxxSV+qmVPMfvIUPD0dER7u7uWLlyJcLDwzF37lw2JRmiGshAH1qtlmswG2RogHxwa8jx8f3332P9+vUYPHgwli9fzoZNktY+BgwYgB9++AEVKlQAzPjIPzYCx7uUghqvcXxsTTTTRAEmNWpixvFl+NFbDbw+jtF1mmEB8xBkWvtgSc1HSohqIAN8VKlSBeHh4ahQoYLZf2QYENVABvhgrwfXFF/ohSRJgo5zsJchHwASEhLYsElENQzTJHft2oUpU6Zg06ZNbEoyRDUy0odWq0V0dDQbNomoBvng1xD1UaBAAezatQs7duzAqFGjuDTSw0e+fPlw+vRpBAcH48SJE2Z85EfXzQcxslp2IO4Zzi8bg5DR2/HAWKN0O2hmDkYTn085xycHocX8T83GQHr4YEndh2lENTLCx1dffYVjx44hMDAQly9fZsMmEdXICB/s9ZBcXV3NV+m7m0pgXLAkSVCpVNBxjiSGDA21Wg0PDw+cOnUKbdu2xeHDh9mUZIhqZKQPrVbLPVNHVIN88GuI+ti9ezfevXuHdu3acWukl4/w8HBERkYiLCyMw0cp9N2wAv1qFtBP8X2NZ1FP8Tpegi67B4rk1j8KrL2P3cObov3y5ONR0suHMeZ9JEdUIyN85MiRA3fu3EGrVq1w6NAhNmwSUY2M8MFeD4VO333MLQDJ9swt0RrRfJ1Oh6xZs0KtVuPFixfJYqaWHA3RGtF8OTWi+XJqRPPl1Ijmy6kRzRepmT17Njw8PNCzZ89kMXOLV0MkPzIyEt988w1nzRVM/6Ecqv4yA7tP3cfrODU8vIvA28cbRTycEBN9E8dWjUTjauXQbtk9E/U8GsmXaL6cGtF8OTWi+R8+fMB///2HL7/8MlkspSWqIadGNJ+t4bqxbs3kyPHpX0uvXr1iQwSRrvTq1Qs//vgjQkJCuH/Mkt4cP36c6wktY+5vnYB29cuhcP48//+Ib648yFOkKhr30eAYDYJIM16/fo2cOfUTA+wEm28i2bNnBwD8+6/+2Xci8+DbEVM27seFm4/w6OmnE9fR0dGIfvoId6+exI4FwxBciC1KGxo0aICRI0eiR48eOHPmDBu2KKJNhMg43rx5k/h3lr1g800kW7ZsgL7DE5mFAIzeehaPDoehU82KKODqBCfjURwqJ+TIXQT+Lfpi0am7ODavA9Lyr9VixYpBo9Fg5syZWL9+PRu2KIanfkSHMhIZw9u3b/HFF/o3RtoJdtFEaNxJJqJQRyw9sRTd/PLDCQBinuHKnhkY+GMNuLq6wtW1HBp3mIAlETfxOg6AKgeKNJ+Eg4cmoCb7tWTg6OiI+fPn4/Dhwxg/fjwbtjhRUVGIikr6BBVhPbx//z7xH772gs03EWdnZ/z333/sNmGX1MKsdWNRr5AaAPD66hJ08SuGGm0nYOn+K/qc+zgWPgODfqiKwnUGYvfdT+/ByF7iZyza0R0FjL6aHObPnw+FQpGhJ9LlQD/Ssk7+++8/u3uniF00Ed6X3hO2jf/MsWju/amBaG+tRZfvBmFLajd9Ly1FuxYTcfzlp//N4dcPs7uxSfwMGTIEdevWRUhICP2ZI2Tx4cMHODs7s9s2jc03EbVaDa1Wy24TdsenV7qqASDuFrYM6wuuJ+3/1qDZrON4AwDIAf8fpsj6NNKiRQv0798fISEhuHbtGhu2OPTJwzbQarVQqz/9Q8hesPkm4uDggNjYWHabsDcSX+kK4MZh9P2NiafGorU4azijVqo6+go+sVW+fHloNBpMmDAB4eHhbNjiVKtWjWvkD2F5Pn78CEdHR3bbplEYjrynthQKRbI9c0u0RjTfUOPg4ICPHz8mi5lacjXYvdSWaL6hBkbjB8wtuRrsXmpLNN9Qk14+qhte6Qog6saKZPGU1ieN7Thy49NnEaAIynRMnsfWGHx8+eWX0Gg02LRpE2bOnJks9/81ku+ntkRrUssvUKAA/Pz84OfnB0mSkD9/fpw4cSJdr4fcGtF8Q429+Pj48SNUKlWymKklV4PdS22J5htqklyPXLlyfTp+aAZDocg8FoVCAZ1Ox10jquHo6IghQ4agYsWKaNCgARs2iahGRvlwc3MTmg0kqmHrPrpuuYFR1XIAeIPIMcXRYrGgjxm/4tEP3gCAZwe7o0y77WxaIsY+ZsyYARcXFzRs2JBNSwKvDwNpeT1++OEHzJo1C8+ePUO3bt2wdetWeHl5pev1MJCWPlLCnnwMHz4cpUuXRuPGjdmwSUQ1MsqH8fVQJCQkgHdBf9Sd3U9pGY7Fs/upLRENnU4HSZKS7ZtbIhoJGeRDpx8lwMZSWyIaCTbu42sPw+cQHSDHx5/P9O8IB9RZPJLFjZfBx5IlS1CxYkWEhoYmyzG1eHwYr7S6Hnnz5kVcXBxcXFwSX0xl/PUN/8+7TGmkttLKR0rLnnwkJCRAoVAki6W2RDQSMsiH8fVQxMXFgWcZitn91FZCQgLi4+OT7ae05GgYDLH7KS05GhnlI701bNmH8cdlnU6GD+OvoEtIlsOuRo0aoUqVKvjyyy8xaNAgBAYGJstJpsHhg60R9mFCI0+ePFCpVFCpVChbtixOnTqFypUrw8vLK92uB1uT3hr24uPTn1/+GjkaGeHD+Hp8+hxjw+h0usSPY4T98uz1p/MesvHxTLynon3/lAkmZ8eOHWjXrh1+/PFHxMXFYenSpbh58ybCwsJQtWpVNt1qiIuLQ5UqVbBz506cPn0aFy9exNGjRxEeHk6n2K0AST9y3Z6w+b99E/QfDwn75vdHhr/4c8Dz060NIdrn/v/Xkj752/jdfClz5swZ7N+/H126dEGhQoUwduxYfPXVV9i9ezdOnDiBgQMHwttbxjeTxnz77beJvzZ1kO3kyZNo1KgRIiMj2RCRwSgUCu6XRdkKNv+3b1xcHFQq48FJhD1yLOImDE/p5i82mImaww9+hQxD727iylImzMH79++xZs0aNGvWDOXKlcOmTZtQv359nDp1Crt27UL79u0tNp01pT////zzDzp37oyhQ4eyIcJCqFQqxHG+58NWsPkmEhsba3fPXRMmWLcbl/VdRF2mHmb8/z++zdOlD/zy6X999XfMSO2UOwf379/HrFmz8O2336J27dq4fPky+vTpg+vXr2PZsmUICgpiS9IVDw/DARogJubTj/3CwsJQvnx5nDt3ziiTsDSOjo52d67NLpqIvZ0AJUyxBoO2XoEWAFTeCJ4wA7XYFFMUCsHW3n749DnkNY5tHITk7+eTz/nz5zF8+HCUKVMG7dq1g1arxf/+9z/cunULU6dOxTfffMOWpCvnzp1D2bJlMWXKFDZEWAFqtZqaiLURExMDJycndpuwQ+4PH4nNf34acaP2/hGLfp2S+vtCfPtiw86h8HP59L+vj09HrwVsUtpx6NAhdOvWDYUKFcLo0aNRqFAh7Nq1C6dOncKgQYNQpEgRtuSzMYw7efbsGXr06IFGjRrRFF8rxsnJye7mrtl8E7HHqZhEShxD77Y9se3Gp0aSo1QnLDr+J46uGoaOdUvrcwrAv1FfTNl4EncPDEOt3J/+gfHmj+Xo0nh+mn4KSYn//vsPa9euRXBwMMqWLYv169cjMDAQJ0+exK5du9CxY0e4uOg722eSL18+hIWFoVixYlb3bhMiOfY4ddzmm4g9zucnUuHvrQip0QBDNuvfF+LkgdL1+yJs7VH9mw0vYMeyYehUswhyqADEvcbNzUMQXGsYItivlQFERUVh9uzZ+O6771CrVi1cunQJffr0wc2bN7FkyRKzJ+HNERkZST+6siGyZs2K9+/fs9s2DVcTkSSJ3TKLoYa3ljfPGEmS8O7dOyiVSmTNmpUNJ0OuhvF/zcGbZwxp8POp5hqWh1ZH4Tq9MGPPWdyPjkGM8QMvMTF4/fgmjq0aiSZVv4J/j2UQmbubXj4uXLiAESNGoGTJkmjdujU+fPiABQsW4Pbt25g2bVqq5zh4NYxJLx/GkAY/kiQJvURProbxf83Bm2cMqyF5eHhwnXyRJAlKpVLo8TSlUgkA3M9Fi2o4OjqiXLlyCA8PR9myZfH48WM2JRmiGsggH+7u7tBqtXjx4gUbNomoBsgHt0ZG+nB2dkaDBg3QuHFj1KhRA7dv30Z4eDh27NiBmzdvJskX1chIH7CT64F09nHixAksWbIECxcuZMMmEdVABvkwvh6Sl5cXdxOR9KcteU5cGvIhMNhLVEOtVqNQoUI4cuQIatWqhT/++INNSYaoRkb5cHV1FRowJ6pBPvg1LOUjb968CAoKQqNGjVCqVCmcPn0aO3fuRHh4OF6+fCmsYSkf5hDVsCcfly9fxqhRo7Bx40Y2bBJRjYzyYXw9JFdXV/NV+u6mUqkQGxvLJSRJElQqFXT6mSw8iGqo1Wp4eHjg/PnzCA4Oxu+//86mJENUIyN9aLVaPHtmOFKXOqIa5INfwxp8lC1bFo0bN0aTJk2QO3du7N69G+Hh4di7dy+3hjX4MIWohr34yJo1K+7fv4+2bdti7969bNgkohoZ4YO9HgqdvvuYW9DPqRJZojWi+Yaa6OhouLm5JYuZWnI12L3Ulmi+nBrRfDk1ovlyakTz5dSI5supEc03V3PhwgWMHDkSpUqVQsuWLfH+/XtoNBpcv34dU6dORbVq1ZLVmFqpaZhaovlyakTz5dSI5supEc03PJEXHR2dLJbSEtWQUyOaz9Zw3Vi3dl68eJHk1C5B2BOHDh1C9+7d4e3tjVGjRiFfvnwIDw/H6dOnMWTIEPj4+LAlhBVi+DuK976OrWAXTeT58+fIlSsXu00QdkVMTAw2bdqEH374AWXKlMGaNWtQq1YtREZGYu/evejcuTPc3NzYMsJK8PT0RExMDN68Mbxl0z6wiyby9OlTeHl5sdsEYbc8fPgQc+fOxffff4+AgACcPXsWoaGh+Ouvv7Bq1So0adKELSEsTK5cubjv6dgSdtFEnjx5gjx58rDbBJEpuHTpEkaNGoXSpUvjhx9+wNu3b6HRaHDjxg0MHz4clStXZksIC5A7d248fWr+XTa2hl00kX/++Qd58+Zltwki0xEREYGQkBAUKlQII0aMgKenJ1asWIGzZ89i6NChKFasGFtCZBB58+bFP//8w27bPHbRRB49eoS8efNClcJ7FQgis6HVarF582aEhoaiRo0aWLlyJQICAnD8+HHs3bsXv/zyC9zd3dkyIh3Jly8f14FoW8MumsjDhw8BAAULFmRDBJHpefLkCebNm4eAgAB8//33OHPmDEJCQnDjxg2sXr0aTZs2TTygRqQf+fPnx6NHj9htm8cumsjjx4+h1WpRqFBqc8EJgrh8+TJGjx6NMmXKoEWLFnj9+jXmzp2Lu3fvYubMmfD392dLiDQgS5Ys8PLywoMHD9iQzcM19kSSJCgUCqFTjQqFAkqlEjrOk5NyNAzH72NjY7Fp0yasW7cOS5YsYdMSkaOR0T54niGXo0E++DUymw9HR8fEcSsBAQG4d+8ewsPDER4ejhs3brDpSbAmHwbkaKS3j5IlS+LgwYOoVasWnj59arM+YOJ6SL6+vuarjMR4h3pBb0hndMLRHKIaSv0Au/j4eIwdOxavXr3CxIkT2bQkiGogg33wvrBGVAPkg1sjM/vw9PRE3bp1UatWLZQoUQKXL1/GwYMHceDAgRTnVlmjD1ENpLOPOnXqYPDgwWjYsKFN+4CJ6yH5+PiYVZL0A7oMQjzfnCEfnNMk5Wg4ODggW7ZsiIuLw88//4zy5cujXbt2bFoicjQy2sfbt2/ZcDLkaJAPfg3y8UmjWLFiCAwMRGBgIPLkyYPDhw9j37592LdvX+JwP1vwwaOR3j569OiBqlWrokePHjbtAyauh+Ti4mK+CoBKpYJSqeT+yCNJEhwcHJCQkMD1sQoyNNRqdeIpUH9/f0ycOBFFixZl05IgqpHRPngPI4lqkA9+DfKRXOP7779HkyZN0KRJE8THx2P79u3Yvn07fv/9d5vykRLpfT2WL1+O169fY8aMGTbtAyauh13cWAeAP//8E25ubnRynSDSgSNHjiA0NBSFChXCgAED4OnpiW3btuHcuXMYPHgwihcvzpYQRhQrVszs/SVbxW6ayPXr1xEXF0d/mAkiHfn48SM2bdqEVq1aoWTJkli6dCmqV6+Oo0ePYv/+/ejatSs8PT3ZskyNs7MzvL298eeff7Ihu8BumggAXLt2DaVKlWK3CYJIB/755x8sWLAA9erVQ0BAAE6cOIEuXbrg+vXrWLt2LYKDg6HUv2UvM1OyZElA/w9de8SumsiVK1eoiRCEBbh27RrGjh2LsmXLIjg4GNHR0Zg5cybu3r2L2bNn47vvvmNLMg2lS5fG7du37W56rwG7aiKXL1+Gr68vu00QRAZy9OhR9OzZE4UKFUL//v3h7u6OrVu34sKFCxgxYgRKlCjBltg1vr6+uHz5MrttN9hVE7l06RIKFixIL6giCCsgLi4OmzdvRuvWrVGiRAn873//g7+/P44cOYLdu3eja9eumeI9QGXLlsWlS5fYbbvB7ppITEwMypcvz4YIgrAgT548wYIFC1C7dm18//33iIyMROfOnfHHH39g7dq1aN68OVR2OEA1R44cKFasGC5cuMCG7Aa7aiIAcO7cOVSoUIHdJgjCSvjjjz8wadIklC9fHs2aNcOLFy8wffp03L17F3PmzEGNGjXYEpulQoUKSEhIwLlz59iQ3cDVRCQZEz4NNby1vHnGmNI4e/YsKlasaJT1/6SVRmrw5hlDGvyQBj+2oPHrr7+iV69eKFSoEPr27QtXV1ds2bIFFy5cwMiRI1GqVKnP1uAhvTQqVaqEs2fPIi4uLt00jLGEhuTh4WH+iKK+QKlUcp+ChH7GCjiP30OGhqOjI9zd3aHVahMHmtWsWROrVq1Cvnz5TOqKasBCPswhqgHywa1BPvg1kA4+PD090ahRIzRu3Bjly5fHpUuXcOTIEezatYv7MVlzGqZIax8AsHXrVly6dAnjxo2z2evBwvrgmuILvZAkSdBxDvYy5ANInLNjDlENwzRJrVabOBzuiy++wF9//YXmzZsjMjKSLRHWsJQPc4hqkA9+DfLBr5HePooXL44mTZqgUaNGyJs3LyIiIhInDKf2l56IBtLJh1KpxN9//40OHTogIiLCLq4HTPy5klxdXc1X6X9DVALjgiVJgkqlgo5zJDFkaKjVanh4eECr1SaZRbN//34cOXIEYWFhSfIhQ8OSPlJDVIN88GuQD36NjPRRrlw5fPfdd2jSpAkUCgV27NiB7du34+jRo2yJsEZ6+PD398f27dtRqFAhvH371u6uh8GHQqfvPuYWgGR75pZojWh+SjXHjx+Hn59fsv2U8s0t0RrRfDk1ovlyakTz5dSI5supEc2XUyOaL6dGNF9OjWi+nBrRfEPNiRMn0Lt3bxQqVAi9e/fGl19+ic2bNyeePylVqtRna7B7qS1z+X5+fjh9+jTevHnDXcMu0Xw5NaL5bA3XjXVb49ixY/jmm2+QLVs2NkQQhI2TkJCArVu34qeffkKxYsWwcOFCfPPNNzh69CgOHTqEkJAQqxjE6u/vj2PHjrHbdoddNpHffvsNWq0W3377LRsiCMKOePbsGRYtWoS6devC398fv/76K37++WdcunQJq1evRosWLeDo6MiWpTsuLi6oVKkSfvvtNzZkd9hlE9HpdDh69KhdPW9OEETqXL9+HRMmTECFChUQHByMJ0+eYMqUKbh79y7mzZuHgIAAtiTdqFGjBl6/fo0TJ06wIbvDLpsI9O8/yMg/NARBWA/Hjh3DgAEDULhwYfTs2RM5cuTApk2bcPnyZYwePRplypRhS9KUgIAAHDlyhN22S+y2iRw+fBj58+engYwEkYnR6XTYtm0b2rRpAx8fH2g0GlSuXBlHjhzB4cOH0aNHD+TJk4ct+2xq1qyJw4cPs9t2id02kXv37uHy5cuoVasWGyIIIhPy/PlzLF68GIGBgfDz88Phw4fRrl07XLlyBRs2bEDz5s3T5P6Jv78/XF1dcejQITZkl9htEwGAAwcOoE6dOuw2QRCZnD///BMTJ05ExYoV0bhxYzx69Ajjx4/H7du3MW/ePNSsWZMt4aZOnTr4/fffuU+l2zp23UT279+PsmXL4uuvv2ZDBEEQgP7+Sb9+/VC0aFH07NkT2bNnx8aNGxPvn4j+SDwwMBD79+9nt+0WheHIe2pLoVAk2zO3RGtE8w01MDq2z64rV67gr7/+Qv369RPz2RxzS7RGNN9Qk5oPdsnVYPdSW6L5hhrywbdEa0TzDTXkg28ZasLDw9GuXTv4+Phg3rx5qFSpEg4fPowjR44gNDQUefPmTVWjcuXKKFiwIPbt25cslpE+eJdovqEmiY9cuXJ9On5oBkOhyDwWhUIBnU7HXSOq4ejoCDc3t1Rn0QwePBj+/v6oX78+IEPDWnywiGqQD34N8sGvkRl8FC1aFI0aNUKjRo1QuHBhHDlyBOHh4di1axe0Wm2S/FGjRqFMmTJo2rRpkq8BIx/DtpxH00JsVE+cFq//uYrDi4YgZOm1NPWREqIa7PXgnuKrUCigUCgQHx+feOw9NST9ZEidTsc9TVJUQ61Ww83NDbGxsXj+/DkbBgCUKlUKERERqF69Ov766y9hDWvxwSKqQT74NcgHv0Zm81GtWrXECcPOzs4IDw/Hjh07EBERAejfZ7Rw4UIsWbKELU30MXzrhU9NRKuFlhlvpc6q1v/qNY6PrYnmCx6miw9jRH+v2Oshubi4mK8CoFKpoFQquYd0SZIEBwcHJCQkcA8CE9VQq9Xw9PRETExMqgPNjh49iv3792PKlCnCGtbkwxhRDfLBr0E++DUys49mzZqhcePGqFevHh49eoRz586hUaNGKFGiBJ48ecKmJ/oYtvUiggsDN9e5omoom1UafXfswDD/HMCzQ+hW6ieEp7MP0d8r9np8+hxj5+zYsQNNmjRhtwmCIGQTHh6OTp06oWjRopgzZw48PT1x8OBBkw2EnyuY0ecQ7gOARwH4sWErJFM0ke3bt8Pb2xt+frZwSQiCsCWio6OxYsUKlCpVCtu2bWPD4hRw+vTf968RxcaskEzRRKKionDo0CE0a9aMDREEQXw2wcHBSNBPF5ZPAfi3HYYNU2uiAID7EdMxi02xQjJFEwGAzZs3o0WLFnBy0nd5giCINKJFixbYvHkz9xNOAFCkdTSio43XBeyY2Re1CgP3tw5Ekw62ceI90zSRrVu34v3792jRogUbIgiCkI2Pjw++/fZbbNy4kQ2lTkwMYt4zKw4AnFCg2VhsX9YR+dkaKyTTNBEA2LBhA3744Qd2myAIQjYtW7bEuXPncO7cOTaUKje35UGe/MzyLIcuC87iNZxQoNFYLBhk/W0kUzWRdevWoUKFCqhYsSIbIgiCkEXr1q2xbt06dlsm97FleF3MOxUDwAkVandgE6yOTNVEbty4gYiICLRu3ZoNEQRBCNO6dWuoVCqsXbuWDX0WM+7qn8tSZ2dDVgdXE5Ekid0yi6GGt5Y3zxg5GmvXrsUPP/wAT09PNmwSORqikAY/pMEPafAjV6N169ZYvXo118G+RA02YIKQfPq/n7Rv2FCqyPUhAqvBPfZE0h+n5/nNMqBUKgGA+/i9qIajoyPc3d2h1Wq5xy5LkoRjx45hx44dmDZtGhs2ibX6ENEA+eDWIB/8GsjEPr799lts2rQJ33zzDe7cucOGk2HwMWzrBTQrBNxc7wn/3mxWfvgNmollff2QA8DVpZVQd+SjdPUh+nvFXg/Jy8uLu4lIkgSdTsd1NN6QD4HBXqIaarUarq6uQoPZJElCp06dEBISwjXi2Zp9iGiQD34N8sGvkZl9LFmyBPHx8ejatSuXhsHH0M3nUpydBZUaav34LO3t9ej0bX8cTWcfor9X7PWQXF1dzVfpu5tKpeKeryJJElQqFXQ6HXeHE9VQq9Xw8PCAVqvlnqmjVCrh7OyMS5cuYfz48VixYgWbkgRr9iGiQT74NcgHv0Zm9VG8eHH8/vvvaN68OX799VcuDYOP4VsvollhNqonTgvt6ye4cng+BnZfiuvp7AMyfq/Y66HQ6buPuQX9+4pFlmiNaL6cGgCIjY3FsmXL0LFjx2RxU0uOBrtnbonWiObLqRHNl1Mjmi+nRjRfTo1ovpwa0Xw5NaL5cmpE8+XUiOaL1nTs2BHHjx9HZGRkslhqCwCG1y8GV1dX08szN3IXKYe63ZbgiuD3ZKzB7qW2RPPZGq4b6/bIkiVL4OPjQ6NQCIIQIn/+/GjXrh2WLl3KhjIlmbaJPHv2DIsXL0aXLl3YEEEQRIp06dIFFy5cwN69e9lQpiTTNhEAWLhwIcqXL4+goCA2RBAEkQwvLy907doVixYtYkOZlkzdRKKiorB06VJ0796dDREEQSSje/fuuHLlCrZs2cKGMi2ZuokAgEajQcWKFdG4cWM2RBAEkUjevHnRvXt3aDQaNpSpyfRN5P79+1i4cCFCQ5O9p5IgCCKR0NBQnD9/nj6FMGT6JgIAc+fORcmSJfHjjz+yIYIgCBQtWhSdOnXCnDlz2FCmh5oIgCdPnmD27Nno3TvZDAKCIAj07t0bv/32G3bv3s2GMj1cY08kSYJCoRA61ahQKKBUKqHjPDkpR8Nw/D42NpZrpk5qGk5OTjhz5gwWLlyI+fPnJ+7bmo+UIB/8GuSDXyMz+KhSpQq2bduG5s2bIzIyEpCpYWkfppCjwfqQfH19zVcZifEO9YLekM7ohKM5RDWU+hEm8fHx+PDhAxs2SWoarVq1QkhICBo0aIB///03cd/WfKQE+eDTIB/8GsgEPhYsWIBXr15h6NChSfZFNSztIyVENVgfko+Pj1klST+gyyDE880Z8sE5TVKOhoODA7Jly4a4uDi8ffuWDSeDR2Pbtm04f/48JkyYkFhjiz5YyAe/Bvng17B3Hw0aNMDUqVNRv3593L17N0m+qIYlfaSEHA3Wh+Ti4mK+CoBKpYJSqeT+yCNJEhwcHJCQkMD1sQoyNNRqNTw9PRETE8M9mM2cRr169bB69WrUqlULFy5csFkfLOSDX4N88GvYu4+zZ89i586dGDduXJJ8yNCwpI/UENVgfdCNdYa9e/di586dGDx4MBsiCCITMWjQIKjVakyZMoUNEUZQEzHBpEmTEBAQgFatWrEhgiAyAUWKFMHAgQMxadIkxMbGsmHCCGoiJrh58ybCwsIwbNgwZMmShQ0TBGHnDBs2DIcPH8b69evZEMFATSQFpkyZgtevX2PEiBFsiCAIO6Z58+Zo0KABxo8fz4YIE1ATSYWxY8eic+fO8Pf3Z0MEQdgh2bJlw6hRozBt2jRcuXKFDRMmoCaSCgcOHMDq1avp0whBZBJGjhyJ6OhoTJo0iQ0RKUBNxAyjR4+Gh4cHPa1FEHZOnTp10K5dO4wePZoNEalATcQMr1+/xpgxY9CnTx9UqVKFDRMEYQeo1WqMHj0aixYtwtGjR9kwkQpcTUSSJHbLLIYa3lrePGMySmP79u3YuHFj4in21JCrYfxfc/DmGUMa/JAGP/aiMWHCBGi1Wu5PIXI0MsKHJTQkDw8P80cU9QVKpZL7FCT0M1bAefweMjQcHR3h7u4OrVbLNdAMMjSg95E9e3YcPnwY4eHhGDNmDJuSBFGNjPQBO7keIB9mIR98Go0aNcLixYvxww8/4NixYzbrw0BGXw+uKb7QC0mSBB3nYC9DPgAkJCSwYZOIahimSWq1WkRHR7Nhk4hqGPuoXbs2li1bhnbt2uHQoUNsaiKiGhntw16uB/lIHfJhXsPDwwMRERFYt24dwsLCABv1YcAS10NydXU1X6XvbiqBccGSJEGlUkHHOZIYMjTUajU8PDyg1Wq5Z9GIarA+xo0bh4YNG6JGjRp49eoVmw7I0LCEDx5ENcgHvwb54NdITx8rVqyAq6srgoKCbNqHAUtcD4VO333MLQDJ9swt0RrRfDk1ovlszfDhw/HkyROEhYUlyzOVz7tEa0Tz5dSI5supEc2XUyOaL6dGNF9OjWi+nBrRfDk1ovlyanjye/Togbp162LAgAHcNcZLNF9OjWi+nBrRfLaG68Y6kZQBAwagcePGCAkJYUMEQdgA1apVw+jRo9G/f3/8+eefbJgQgJqIDK5cuYJ+/fph7Nix8PPzY8MEQVgxX3zxBWbOnImVK1di9erVbJgQhJqITFauXIkVK1Zg1qxZ+PLLL9kwQRBWyqxZs/DmzRv07duXDREyoCbyGfTr1w8vXrzAnDlz2BBBEFZI//79ERgYiF69erEhQibURD6Tnj17ws/PD8OHD2dDBEFYEUFBQRgyZAh69uyJP/74gw0TMqEm8pncvHkToaGh6NOnD73EiiCslBIlSkCj0WD69OnYsmULGyY+A2oiacDu3bsxduxYzJs3D1WrVmXDBEFYkKxZs2LBggU4cOAAJk6cyIaJz4SaSBoxe/ZsrFy5EgsXLkSePHnYMEEQFmLRokWIjY1F9+7d2RCRBigMR95TWwqFItmeuSVaI5pvqIHRsX1zS64Gu5fS6tevH27duoWFCxdCqVQmi6e0rM2HnHxDDfngW6I1ovmGmszuY8qUKahQoQK6du2Kjx8/Jss1VcOzRPMNNXJ98C7RGtF8Q00SH7ly5fp0/NAMhkKReSwKhQI6nY67RlTD0dERbm5uQrNoRDVEfXz55ZfYvn07bt68iV9++YUNm8QafUCGBvng1yAf/BpyfYSGhmLw4MFo0aIFjh07xqYkwZp9QEDDEj6UWbJkGc0eaTe1oP8GExISksVMLUO+Tm+GjZtaohpKpRJZsmRBfHw83r9/nyxuaolqiPr48OEDTp8+jQEDBiB37tyIiIhIlsMua/RhXMObTz74NcgHv4YcH61bt8a4cePQo0cP7N27N1mcXdbqQ1TDEj4kFxeXT1/FDCqVCkqlkntIlyRJcHBwQEJCAvcgMFENtVoNT09PxMTEcA80E9WQ6+Pbb7/Fpk2bEBYWhilTprApSbBmHyIa5INfg3zwa4j6qF+/PlatWoUxY8Zg7ty5XBrW6AMyNCzh49PnGCLNOX78ODp27IiBAweia9eubJggiHTA398fK1aswOzZs7Fo0SI2TKQD1ETSkfDwcPTp0wcTJkzATz/9xIYJgkhDypYti5UrV2L58uX0KG8GQk0knVm1ahVGjBiB2bNnIzg4mA0TBJEGFCtWDKtXr8a+ffswcOBANkykI9REMoD58+djwoQJWLRoERo1asSGCYL4DLy9vbF27VqcPn2aXs9gAaiJZBAzZsxAWFgYli1bhoYNG7JhgiBk8NVXX2HdunW4evUqOnbsyIaJDICaSAYyZcoUTJs2DStWrEBQUBAbJghCAG9vb2zYsAE3btxAu3bt2DCRQVATyWAmTZqEqVOnYvny5WjWrBkbJgiCg2LFimHjxo24fv062rRpw4aJDISaiAWYPHkyJk2ahMWLF6N169ZsmCCIVChbtiw2b96Mixcv0icQK4CriUiSxG6ZxVDDW8ubZ4wta0ybNg2jRo3C3Llz0aFDB0CgljfPmPTyYQxp8EMa/Bhr+Pv7Y+vWrfjtt99SvAfyuRo88OYZY68akoeHh/kjivoCpVLJfQoSAJRKJQAgPj6eDZlEVMPR0RHu7u7QarV48eIFGzaJqAbS2Uf79u0xZcoUzJ8/HxqNxmZ9wE6uB8iHkAYy0Iefnx9mzZqFFStWYMiQIWxaEkQ1kIE+7OV6GHxIXl5e3E1E0s9k4Tkab8iHwGAvUQ21Wg1XV1ehgWaiGhnho0WLFpg1axZWrVqFwYMHs2GTiGpkhA97uR7kg18jo3x06NABI0aMwJw5czB58mQ2JRmiGhnlw16uh7EPydXV1XyVvrupVCru+SqSJEGlUkGn03F3OFENtVoNDw8PaLVa7lk0ohoZ5aNx48YICwvD3r170a1bNzYlGaIaGeXDXq4H+eDTyAgf/fv3x+DBgxEWFoawsDA2bBJRjYzwYS/Xg/Wh0Om7j7kFINmeuSVaI5ovp0Y0X06NaL5Op8OJEyfQtm1blC9fHtu2bYObm1uyHOMlR0O0RjRfTo1ovpwa0Xw5NaL5cmpE8+XUiObLqRHJnzx5MgYPHozhw4dj+fLlyeIpLRENuTWi+XJqRPPl1IjmszVcN9aJjOH69eto2LAhlEol9uzZg7Jly7IpBJEpyJo1K9asWYNGjRqhRYsW2LNnD5tCWAnURKyMJ0+eICgoCOfOncPevXvRpEkTNoUg7JoSJUpg3759yJUrFxo0aIDjx4+zKYQVQU3ESunevTtmzZqFJUuWoF+/fmyYIOySoKAg7N+/Hzdv3kS9evVw+/ZtNoWwMqiJWDFTpkxB165dMXDgQCxatAhqtZpNIQi7oX///li+fDkWLFiATp06ITY2lk0hrBBqIlbO5s2bUbt2bRQrVgyHDh2i+ySE3fHFF19g6dKl6Nu3L7p06ULvArExqInYAJcvX0atWrVw/fp1RERE0KgHwm6oVq0aDh8+jAIFCqBWrVrYsmULm0JYOdREbAStVouuXbti5MiRmDFjBqZPnw6VSsWmEYTN0KNHD+zcuRPHjx9HzZo18ccff7AphA1ATcTG0Gg0aNiwISpVqoSDBw+iatWqbApBWDWenp5YsmQJhg8fjt69e6Nv375sCmFDcI09kSQJCoVC6FSjQqGAUqmEjvPkpBwNw/H72NhYrlk0cjSs1YeTkxMmTZqEFi1aYMqUKZg9ezablgRr9SGqQT74NazRR1BQEMaPH4+7d+9iyJAh+PPPP9mUZFijDzka9upD8vX1NV9lJMY71At6QzqjE47mENVQKpVwdnZGfHw8Pnz4wIZNIqoBK/dRv359DBw4ENeuXcPUqVNx584dNjURa/bBqwHywa1hTT4cHR0xYMAABAcHY+nSpViwYAG3hjX5MEZUw159SD4+PmaVJP2ALoMQzzdnyAfnNEk5Gg4ODsiWLRvi4uLw9u1bNpwMORq24CN37twYMmQIAgICMHnyZKxcuZItsQkfPBrkg1/DWnx8//33GDRoELRaLSZPnoxTp04JaViLD2PkaNirD8nFxcV8FQCVSgWlUsn9kUeSJDg4OCAhIYHrYxVkaKjVanh6eiImJoZ7oJmohi356NixI8aNG4eTJ09i1KhRuHbtWmK+LflIDfLBr2FpH9myZcOYMWPQvn17LFiwAMOHDwdkaFjaR0qIatirD7qxbkcsXboU33zzDd69e4fffvsNAwYMYFMIIkNo3rw5Tp06hQoVKiA4ODixgRD2BzURO+PevXto164devTogY4dO+K3335DrVq12DSCSBeKFCmCVatWYeHChVi7di2+/fZbHD16lE0j7AhqInbK+vXrUalSJZw5cwYbNmyARqNB3rx52TSCSDMGDRqEkydPwsnJCTVq1MCkSZPYFMIOoSZix7x58wYDBgxAUFAQChQogJMnT6J3795sGkF8Fk2bNsXJkyfx448/okePHmjRogWuXLnCphF2CjWRTEBkZCQaNGiAoUOHokOHDjhz5gxatGjBphGEEFWrVsWWLVug0Wiwe/duVKhQAevXr2fTCDuHmkgmYvXq1ahUqRJ27dqFBQsWYNeuXQgICGDTCCJVihYtigULFmD37t2Ijo6Gv78/JkyYgFiaupspoSaSyYiJicG4ceNQvnx5/P3339i0aRPWrl2LypUrs6kEkYS8efNiypQpOHHiBDw9PdG4cWN06dKF3vmRyaEmkkm5d+8eevbsiYCAAMTGxmLv3r1YtmwZypcvz6YSmRwvLy+MGzcOly9fRtmyZdGuXTs0bdoUx44dY1OJTAhXE5Ekid0yi6GGt5Y3zxjS4CcljUuXLuHnn39GgwYN4OjoiIMHD2L58uWoUqVKkjweUtJICd48Y0iDn8/VyJ8/PyZMmIBr167Bz88PXbp0Qe3atbF79+5kNWxtSvDmGUMa/FhCQ/Lw8DB/RFFfoFQquU9BQj9jBZzH7yFDw9HREe7u7tBqtVwDzSBDA5nMR9WqVfHLL7+gXr16iIiIwIoVK3Do0CE2zSTW5MMYUY3M7qNkyZJo164d2rRpg4sXL2Lx4sXYtm0bm5qItfoQ0QD54NZgfXBN8YVeSJIk6DgHexnyASAhIYENm0RUwzBNUqvVIjo6mg2bRFQjs/ooW7YsOnTogGbNmuH8+fNYtWoVNm/ezKYlwRp9QIZGZvVRvXp1tG3bFvXq1UNkZCSWLVuGffv2sWlJsEYfkKFBPvg1WB+Sq6ur+Sp9d1MJjAuWJAkqlQo6zpHEkKGhVqvh4eEBrVbLPYtGVCOz+yhSpAh+/PFHtG/fHi9evMDq1auxZs0aPH36lE23ah8iGpnNx08//YQ2bdqgfPnyCA8Px5o1a/Drr79yaViTD2NENcgHvwbrQ+ns7DyaTTKFQqGAJEnckx6h/+Z0Oh13RxTVUCqVidMk379/z4ZNIqqBTO7j33//xaFDh7Bo0SLExcWhVatWGDFiBAoWLIg3b97g/v37ifnW7ENEIzP48PHxQWhoKBYvXoyAgADs3bsXoaGhWL16NR4+fMitAQv7SAlRDZAPbg3WB9eNdYJ49+4d5s+fjypVquDHH39E1qxZsX37dhw7dgyhoaHw8vJiSwgrQ6VSoWXLlti2bRsiIyNRpUoVjB8/Ht7e3hg5ciQ9qkvIgpoIIcz+/fvRtm1blCtXDjt37kTbtm1x7do1LF++HIGBgVDqb+wR1kHVqlUxa9Ys3L17F5MnT8adO3dQp04d1KlTBytXruT+sQdBmIKaCCGb+/fvY+rUqahYsSKaNWuGV69eYcSIETh79iw0Gg0CAwPZEiKDqFSpEkaOHIk9e/Zg2bJl8PT0RL9+/VC4cGEMGDAA586dY0sIQhbURIg04ddff0Xfvn3h7++PESNGIGvWrFi9ejX+/vtvzJ8/H0FBQXBycmLLiDTE398f48ePx/nz57Fv3z74+vpizZo1qF69Olq1aoXNmzdz/5ycIHihJkKkKfHx8dizZw/at2+PAgUKYODAgVCr1ViwYAEePHiA9evXo1OnTihcuDBbSgji4uKCZs2aYf78+bh58yZ27NiBEiVKYPHixShbtiyaNm2K9evX4/nz52wpQaQZ1ESIdOP9+/fYvHkzOnbsiHz58qFNmzZ4+PAhunfvjrNnz+LkyZOYNGkS6tWrhy+//JItJxiUSiX8/PwwZMgQ7Nu3D7du3cLUqVPh6OiIUaNGoWjRomjSpAkWLVqEqKgotpwg0gVqIkSGkJCQgP3792PAgAEoV64cqlevjtWrVyNfvnyYO3cubt26hSNHjmDixIlo3LgxvUALQI4cORAQEIAhQ4Zgx44diIqKwqZNm+Dv74/ff/8dDRs2ROHChdGpUyesX7+e+xQ0QaQlkouLi/kHg2W8zF2ywAvjeRDVIB/8Gp/jo1y5cqhSpQoqV66MSpUqIUeOHHjw4AEuXryIS5cu4cqVK7h69Sqio6Ot2gevBns9nJ2dUbJkSZQuXRq+vr4oW7YsihUrhoSEBJw9exanT5/GmTNncObMGbx8+ZJLwxI+eBDVIB/8GpbwwXViXdLPVhERUigUUKlU3GbkaDg5OSXOcOG5KHI0yAe/Rlr6KFGiBMqVK4eyZcuiTJkyKF26NCRJwqNHj/DXX3/hxo0buHHjBm7fvo07d+6kOEYiNY2USEsfLFmyZMFXX30Fb29v+Pj4JPkvANy5cweXL1/GxYsXcfHiRZw7dw5xcXFCGgbS04cBW/tzlRLkg1+D9SHlypXLfJX+m4PgPBaFQgGd4MlJCGg4OjrCzc0NWoFZNKIa5INfIz19KJVKlChRAsWLF0exYsVQpEgRfP3114k/9nr16hXu37+PBw8e4OHDh3j06BH++ecfPH36FC9evMDz58/x33//sV/WJHJ9qFQquLi4wN3dHZ6envDy8kLu3LmRJ08e5M+fH/nz5088lBkdHY3bt2/j5s2buHHjBv7880/88ccfePPmDfulE+H9vTIg1wcENGz9z5UB8sGvwfrgnuKrUCigUCi4j8YbOpxOp0M85zRJUQ21Wg03NzfExsZyP4EiqkE++DUs4SNr1qwoXLgwChYsiIIFCyJfvnzImzcv8uTJAy8vL+TIkSOx9v3793j58iVev36NN2/e4O3bt3j//j3+++8/xMTEIDY2Fh8/fgT0/9qKj4/Hhw8foNTPFnJ0dISTkxOcnZ2RNWtWZMuWDdmzZ0eOHDnw5ZdfImfOnIlaHz58wD///IPHjx/j4cOHePDgAe7fv4979+7h7t27ePnypV1eDx5ENcgHv4YlfNA9ETOQD34Na/SRJUsWeHl5wdPTE9mzZ0/8yz579uz44osvkDVrVmTJkgVOTk5wdHSEg4MDHBwc4OTkhISEBGi1WsTHxyMuLg6xsbGIiYnBhw8f8P79e7x9+xZv3rxJbEr//vtv4qef169fs99KEkR9QMbvlTVeD8jQIB/8GpbwQU3EDOSDX4N88GuQD34N8sGvYQkf9IgvQRAEIRtqIgRBEIRsqIkQBEEQsqEmQhAEQciGmghBEAQhG2oiBEEQhGyoiRAEQRCy4WoikiSxW2Yx1PDW8uYZQxr8kAY/pMEPafBjrxrcY08k/XF63gMs0M87gv5FRTyIajg6OiYOAuMdgy2qAfLBrUE++DVAPrg1yAe/BizgQ/Ly8uJuIpIkQafTcZ1qNORDYLCXqIZarYarq6vQQDNRDfLBr0E++DXIB78G+eDXsIQPrlHw0Hc3lUrFfTRekiSoVCrodDruDieqoVar4eHhAS3naGXI0CAf/Brkg1+DfPBrkA9+DUv4UOj03cfcApBsz9wSrRHNl1Mjmi+nRjRfTo1ovpwa0Xw5NaL5cmpE8+XUiObLqRHNl1Mjmi+nRjRfTo1ovpwa0Xw5NaL5cmpE89karhvrBEEQBGEKaiIEQRCEbKiJEARBELKhJkIQBEHIhpoIQRAEIRtqIgRBEIRsqIkQBEEQsqEmQhAEQciGa+yJJElQKBRCpxoVCgWUSiV0nCcn5WgYjt/HxsZyzaKRo0E++DXIB78G+eDXIB/8GpbwIfn6+pqvMhLjHeoFvSGd0QlHc4hqKJVKODs7Iz4+Hh8+fGDDJhHVAPng1iAf/BogH9wa5INfAxbwIfn4+JhVkvQDugxCPN+cIR+c0yTlaDg4OCBbtmyIi4vD27dv2XAy5GiQD34N8sGvQT74NcgHv4YlfEguLi7mqwCoVCoolUrujzySJMHBwQEJCQlcH6sgQ0OtVsPT0xMxMTHcA81ENcgHvwb54NcgH/wa5INfwxI+6MY6QRAEIRtqIgRBEIRsqIkQBEEQsqEmQhAEQciGmghBEAQhG2oiBEEQhGyoiRAEQRCyoSZCEARByIariUiSxG6ZxVDDW8ubZwxp8EMa/JAGP6TBj71qSB4eHuaPKOoLlEol9ylI6GesgPP4PWRoODo6wt3dHVqtlmugGWRogHxwa5APfg2QD24N8sGvAQv44JriC72QJEnQcQ72MuQDQEJCAhs2iaiGYZqkVqtFdHQ0GzaJqAb54NcgH/wa5INfg3zwa1jCx/8BihaXrZUX/FoAAAAASUVORK5CYII=\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"errors":[],"facets":[[{"value":"Basic 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