{"group":{"group":{"id":33394,"name":"Easy Sequences Volume III","lockable":false,"created_at":"2021-11-18T12:16:07.000Z","updated_at":"2026-04-06T14:01:22.000Z","description":"Collection of math challenges. 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Please output the integer part of the volume in modulo 1000003.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440000534057617px; 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=\"block-size: 247px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; 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; text-align: left; 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; \"\u003e\u003cspan style=\"\"\u003eAn octahedron (not regular) is formed by joining the centers of the faces of a rectangular parallelepiped (see below figure).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 166px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; 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; \"\u003e\u003cspan style=\"\"\u003e                                       \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"311\" height=\"166\" style=\"vertical-align: middle;width: 311px;height: 166px\" 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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; text-align: left; 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; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eGiven the dimensions of the rectangular parallelepiped (length, width and height), calculate the volume of the embedded octahedron. \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; \"\u003e\u003cspan style=\"\"\u003ePlease output the integer part of the volume in modulo 1000003.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function v = volOcta(l,w,h)\r\n  y = x;\r\nend","test_suite":"%%\r\nl = 1234; w = 4567; h = 8910;\r\ny_correct = 956726;\r\nassert(isequal(volOcta(l,w,h),y_correct))\r\n%%\r\nl = 100000; w = 200000; h = 300000;\r\ny_correct = 9000;\r\nassert(isequal(volOcta(l,w,h),y_correct))\r\n%%\r\nls = 12:12:1440; ws = ls + 23; hs = ls .* 23;\r\ny_correct = 59634083;\r\nassert(isequal(sum(arrayfun(@(i) volOcta(ls(i),ws(i),hs(i)),1:length(ls))),y_correct))\r\n%%\r\nl = 12345678900; w = 353535353535; h = 12345678900;\r\ny_correct = 262344;\r\nassert(isequal(volOcta(l,w,h),y_correct))\r\n%%\r\nl = 14141414141414; w = 15151515151515; h = 16161616161616;\r\ny_correct = 541360;\r\nassert(isequal(volOcta(l,w,h),y_correct))\r\n%%\r\nfiletext = fileread('volOcta.m');\r\nnot_allowed = contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":10,"test_suite_updated_at":"2021-09-11T14:45:58.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-09T20:56:03.000Z","updated_at":"2025-12-22T16:21:58.000Z","published_at":"2021-09-09T20:56:03.000Z","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\u003eAn octahedron (not regular) is formed by joining the centers of the faces of a rectangular parallelepiped (see below figure).\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\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"166\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"311\\\"/\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=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven the dimensions of the rectangular parallelepiped (length, width and height), calculate the volume of the embedded octahedron. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ePlease output the integer part of the volume in modulo 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":52764,"title":"Easy Sequences 24: Number of Coprime Lattice Points","description":"Given a number 'n', you were tasked to mark and count all coprime lattice points at the first quadrant bounded by the points (0,0), (0,n), (n,n) and (n,0). A coprime lattice point is a point (x,y), where x and y are coprime integers. \r\nFor example for n = 15, 145 points would be marked (see figure below).\r\n                                              \r\nNOTE: One is coprime to all integers including zero. Except for 1, zero is not coprime to any other integer, not even to zero itself.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440000534057617px; 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=\"block-size: 450px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; 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; text-align: left; 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; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eGiven a number '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; \"\u003e\u003cspan style=\"\"\u003eyou were tasked to mark 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; \"\u003e\u003cspan style=\"font-weight: bold; text-decoration: underline; text-decoration-line: underline; \"\u003ecount all coprime lattice 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; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e at the first quadrant bounded by the points (0,0), (0,n), (n,n) and (n,0).\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; \"\u003e\u003cspan style=\"\"\u003e A coprime lattice point is a point (x,y), where x and y are\u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Coprime_integers\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003e coprime integers\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; \"\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; text-align: left; 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; \"\u003e\u003cspan style=\"\"\u003eFor example for n = 15, 145 points would be marked (see figure below).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 318px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; 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; \"\u003e\u003cspan style=\"\"\u003e                                              \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"387\" height=\"312\" style=\"vertical-align: baseline;width: 387px;height: 312px\" 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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; text-align: left; 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; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eNOTE: \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; \"\u003e\u003cspan style=\"\"\u003eOne is coprime to all integers including zero. Except for 1, zero is not coprime to any other integer, not even to zero itself.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function c = coprimeLattice(n)\r\n    c = round(29*n/3);\r\nend","test_suite":"%%\r\nn = 15;\r\nc_correct = 145;\r\nassert(isequal(coprimeLattice(n),c_correct))\r\n%%\r\nn = 15^2;\r\nc_correct = 30857;\r\nassert(isequal(coprimeLattice(n),c_correct))\r\n%%\r\nn = (15.15)^2;\r\nc_correct = 32133;\r\nassert(isequal(coprimeLattice(n),c_correct))\r\n%%\r\nn = 15^3:15^3:15^4;\r\ns_correct = 8586748191;\r\nassert(isequal(sum(coprimeLattice(n)),s_correct))\r\n%%\r\nn = 1234567.89101112;\r\nc_correct = 926576790685;\r\nassert(isequal(coprimeLattice(n),c_correct))\r\n%%\r\nfiletext = fileread('coprimeLattice.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":9,"test_suite_updated_at":"2021-09-24T10:12:54.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-20T19:00:46.000Z","updated_at":"2026-04-08T13:06:19.000Z","published_at":"2021-09-24T10:12:54.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven a number 'n', \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eyou were tasked to mark and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ecount all coprime lattice points\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e at the first quadrant bounded by the points (0,0), (0,n), (n,n) and (n,0).\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e A coprime lattice point is a point (x,y), where x and y are\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Coprime_integers\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e coprime integers\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example for n = 15, 145 points would be marked (see 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\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=\\\"312\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"387\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eNOTE: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eOne is coprime to all integers including zero. Except for 1, zero is not coprime to any other integer, not even to zero 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Sequences 26: Prime-Integer Line Segments","description":"At the first quadrant in the -plane, you are asked to construct a line segment with the following specifications:\r\nSelect a prime point along the -axis. \r\nSelect an integer point along the -axis. \r\nConnect these points to form a line segment. \r\nHow many line segments, with the abovementioned specifications, can be constructed that pass through a given point ? \r\nFor example, in the figure below, it is shown that 2 such lines pass through the point , with lines connecting prime points  and  to integer points  and , respectively. It can be proven that these are the only line segments, drawn as specified, that pass through .\r\n                                           \r\nNOTE: It is possible that no line segments, as specified, pass through a given point.","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: 601.3px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 300.65px; transform-origin: 407px 300.65px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 20.2167px 7.5px; transform-origin: 20.2167px 7.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAt 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: 40.8417px 7.5px; transform-origin: 40.8417px 7.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"text-decoration: underline; text-decoration-line: underline; \"\u003efirst quadrant\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: 21px 7.5px; transform-origin: 21px 7.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 17px; height: 18px;\" width=\"17\" height=\"18\"\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: 254.008px 7.5px; transform-origin: 254.008px 7.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-plane, you are asked to construct a line segment with the following specifications:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003col style=\"block-size: 61.3px; counter-reset: list-item 0; 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 30.65px; transform-origin: 391px 30.65px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; 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 10.2167px; text-align: left; transform-origin: 363px 10.2167px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 94.525px 7.5px; transform-origin: 94.525px 7.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSelect a prime point along the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 18.6667px 7.5px; transform-origin: 18.6667px 7.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-axis. \u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; 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 10.2167px; text-align: left; transform-origin: 363px 10.2167px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 102.308px 7.5px; transform-origin: 102.308px 7.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSelect an integer point along the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ey\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 18.6667px 7.5px; transform-origin: 18.6667px 7.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-axis. \u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; 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 10.2167px; text-align: left; transform-origin: 363px 10.2167px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 140.8px 7.5px; transform-origin: 140.8px 7.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eConnect these points to form a line segment. \u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ol\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: 377.167px 7.5px; transform-origin: 377.167px 7.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eHow many line segments, with the abovementioned specifications, can be constructed that pass through a given point \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 36px; height: 18.5px;\" width=\"36\" height=\"18.5\"\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: 6.21667px 7.5px; transform-origin: 6.21667px 7.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e? \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: 261.392px 7.5px; transform-origin: 261.392px 7.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, in the figure below, it is shown that 2 such lines pass through the point \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 36px; height: 18.5px;\" width=\"36\" height=\"18.5\"\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: 89.8583px 7.5px; transform-origin: 89.8583px 7.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, with lines connecting prime points \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 36px; height: 18.5px;\" width=\"36\" height=\"18.5\"\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: 15.5583px 7.5px; transform-origin: 15.5583px 7.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 36px; height: 18.5px;\" width=\"36\" height=\"18.5\"\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: 53.675px 7.5px; transform-origin: 53.675px 7.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to integer points \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 43.5px; height: 18.5px;\" width=\"43.5\" height=\"18.5\"\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: 15.5583px 7.5px; transform-origin: 15.5583px 7.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 36px; height: 18.5px;\" width=\"36\" height=\"18.5\"\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: 180.342px 7.5px; transform-origin: 180.342px 7.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, respectively. It can be proven that these are the only line segments, drawn as specified, that pass through \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 36px; height: 18.5px;\" width=\"36\" height=\"18.5\"\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: 1.94167px 7.5px; transform-origin: 1.94167px 7.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 336px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; 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 168px; text-align: left; transform-origin: 384px 168px; 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: 83.4917px 7.5px; transform-origin: 83.4917px 7.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                                           \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 348px;height: 329px\" 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\" data-image-state=\"image-loaded\" width=\"348\" height=\"329\"\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: 21.775px 7.5px; transform-origin: 21.775px 7.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eNOTE:\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: 56px 7.5px; transform-origin: 56px 7.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e It is possible that \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: 7.78333px 7.5px; transform-origin: 7.78333px 7.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"text-decoration: underline; text-decoration-line: underline; \"\u003eno\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: 173.875px 7.5px; transform-origin: 173.875px 7.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e line segments, as specified, pass through a given point.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function c = countLines(x,y)\r\n    c = x * y;\r\nend","test_suite":"%%\r\nx = 4; y = 3;\r\nc_correct = 2;\r\nassert(isequal(countLines(x,y),c_correct))\r\n%%\r\nx = 22; y = 75;\r\nc_correct = 4;\r\nassert(isequal(countLines(x,y),c_correct))\r\n%%\r\nx = 100; y = 1287;\r\nc_correct = 6;\r\nassert(isequal(countLines(x,y),c_correct))\r\n%%\r\nx = 555; y = 2629952;\r\nc_correct = 27;\r\nassert(isequal(countLines(x,y),c_correct))\r\n%%\r\nx = 1234; y = 1234;\r\nc_correct = 0;\r\nassert(isequal(countLines(x,y),c_correct))\r\n%%\r\nx = 22; y = 1148217525;\r\nc_correct = 120;\r\nassert(isequal(countLines(x,y),c_correct))\r\n%%\r\nxs = 2500:12500000; ys = 50000:60000000;\r\ns_correct = 6432;\r\nassert(isequal(sum(arrayfun(@(i) countLines(xs(i),ys(i)),1:10000)),s_correct))\r\n%%\r\nx = 1234; ys = 1000:3000;\r\nc = arrayfun(@(y) countLines(x,y),ys);\r\ns_correct = [1.07 2141 1.36];\r\nassert(isequal(round([mean(c) sum(c) std(c)],2),s_correct))\r\n%%\r\nfiletext = fileread('countLines.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global');\r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":7,"test_suite_updated_at":"2021-09-26T17:15:36.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-25T17:15:30.000Z","updated_at":"2026-02-07T12:28:04.000Z","published_at":"2021-09-26T06:38:11.000Z","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\u003eAt the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003efirst quadrant\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e in the \u003c/w:t\u003e\u003c/w:r\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\u003exy\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e-plane, you are asked to construct a line segment with the following specifications:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSelect a prime point along the \u003c/w:t\u003e\u003c/w:r\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\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e-axis. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSelect an integer point along the \u003c/w:t\u003e\u003c/w:r\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\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e-axis. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eConnect these points to form a line segment. \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\u003eHow many line segments, with the abovementioned specifications, can be constructed that pass through a given point \u003c/w:t\u003e\u003c/w:r\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(x,y)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e? \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, in the figure below, it is shown that 2 such lines pass through the point \u003c/w:t\u003e\u003c/w:r\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(4,3)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, with lines connecting prime points \u003c/w:t\u003e\u003c/w:r\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(5,0)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\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(7,0)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to integer points \u003c/w:t\u003e\u003c/w:r\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(0,15)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\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(0,7)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, respectively. It can be proven that these are the only line segments, drawn as specified, that pass through \u003c/w:t\u003e\u003c/w:r\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(4,3)\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\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=\\\"329\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"348\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eNOTE:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e It is possible that \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eno\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e line segments, as specified, pass through a given 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rppnDCCScoMvuXwu0S+mdLZwQQQAABBBBAAAEEEEAAgeYKMLht7mfLO0MAAQTCdN4mocPP7RI6EvxEAAEEEEAAAQQQQAABBBBAQC/A4FZvRSYCCCDQCoEZM2aI75NbHogsBBFAAAEEEEAAAQQQQAABBBDoiwCD276w0hQBBBAYXQEGt6P72fHKEUAAAQQQQAABBBBAAAEEmiPA4LY5nyXvBAEEEHARYHDrwkgTBBBAAAEEEEAAAQQQQAABBIoEGNwW8VGMAAIINE+AwW3zPlPeEQIIIIAAAggggAACCCCAwOgJMLgdvc+MV4wAAgj0VYDBbV95aY4AAggggAACCCCAAAIIIICASoDBrYqJJAQQQKA9Agxu2/NZ804RQAABBBBAAAEEEEAAAQSGV4DB7fB+NrwyBBBAYFoEGNxOCztPigACCCCAAAIIIIAAAggggEBNgMFtjYMTBBBAAAEGt6wBBBBAAAEEEEAAAQQQQAABBKZfgMHt9H8GvAIEEEBgqAQY3A7Vx8GLQQABBBBAAAEEEEAAAQQQaKkAg9uWfvC8bQQQQKCXAIPbXjLEEUAAAQQQQAABBBBAAAEEEBicAIPbwVnzTAgggMBICDC4HYmPiReJAAIIIIAAAggggAACCCDQcAEGtw3/gHl7CCCAQK4Ag9tcMfIRQAABBBBAAAEEEEAAAQQQ8BdgcOtvSkcEEEBgpAUY3I70x8eLRwABBBBAAAEEEEAAAQQQaIgAg9uGfJC8DQQQQMBLgMGtlyR9EEAAAQQQQAABBBBAAAEEELALMLi121GJAAIINFKAwW0jP1beFAIIIIAAAggggAACCCCAwIgJMLgdsQ+Ml4sAAgj0W4DBbb+F6Y8AAggggAACCCCAAAIIIIBAWoDBbdqIDAQQQKBVAgxuW/Vx82YRQAABBBBAAAEEEEAAAQSGVIDB7ZB+MLwsBBBAYLoEGNxOlzzPiwACCCCAAAIIIIAAAggggMCEAIPbCQseIYAAAgj8WoDBLcsAAQQQQAABBBBAAAEEEEAAgekXYHA7/Z8BrwABBBAYKgEGt0P1cfBiEEAAAQQQQAABBBBAAAEEWirA4LalHzxvGwEEEOgl0GtwG/N37949/he5/MQhrhPWAeuAdcC/A34P8HuA3wP8HuD3AL8H2vZ7oNf/jiKOQD8EGNz2Q5WeCCCAwAgLxI2XdLApZ1Petk0575dhBL/3+L3H7wF+D/B7gN8D/B7g94D0e0D630vEEOiHAIPbfqjSEwEEEBhhgbg5lY64YeGwC3Q2/fYOVE4WwHOyRvljPMsNJ3fAc7JG+WM8yw0nd8Bzskb5YzzLDSd3wHOyRvljPMsNJ3fAc7IGjwclwOB2UNI8DwIIIDAiAnFDIh0MbiWVvBibvTyvVDaeKaG863jmeaWy8UwJ5V3HM88rlY1nSijvOp55XqlsPFNCedfxzPNKZeOZEuK6twCDW29R+iGAAAIjLhA3I9LB4FZS0cfY5OmtNJl4apT0OXjqrTSZeGqU9Dl46q00mXhqlPQ5eOqtNJl4apT0OXjqrTSZeGqUyPEWYHDrLUo/BBBAYMQF4oZEOhjcSip5MTZ7eV6pbDxTQnnX8czzSmXjmRLKu45nnlcqG8+UUN51PPO8Utl4poTyruOZ55XKxjMlxHVvAQa33qL0QwABBEZcIG5GpIPBraSij7HJ01tpMvHUKOlz8NRbaTLx1Cjpc/DUW2ky8dQo6XPw1FtpMvHUKOlz8NRbaTLx1CiR4y3A4NZblH4IIIDAiAvEDYl0MLiVVPJibPbyvFLZeKaE8q7jmeeVysYzJZR3Hc88r1Q2nimhvOt45nmlsvFMCeVdxzPPK5WNZ0qI694CDG69RemHAAIIjLhA3IxIB4NbSUUfY5Ont9Jk4qlR0ufgqbfSZOKpUdLn4Km30mTiqVHS5+Cpt9Jk4qlR0ufgqbfSZOKpUSLHW4DBrbco/RBAAIERF4gbEulgcCup5MXY7OV5pbLxTAnlXcczzyuVjWdKKO86nnleqWw8U0J51/HM80pl45kSyruOZ55XKhvPlBDXvQUY3HqL0g8BBBAYcYG4GZEOBreSij7GJk9vpcnEU6Okz8FTb6XJxFOjpM/BU2+lycRTo6TPwVNvpcnEU6Okz8FTb6XJxFOjRI63AINbb1H6IYAAAiMuEDck0sHgVlLJi7HZy/NKZeOZEsq7jmeeVyobz5RQ3nU887xS2XimhPKu45nnlcrGMyWUdx3PPK9UNp4pIa57CzC49RalHwIIIDDiAnEzIh0MbiUVfYxNnt5Kk4mnRkmfg6feSpOJp0ZJn4On3kqTiadGSZ+Dp95Kk4mnRkmfg6feSpOJp0aJHG8BBrfeovRDAAEERlwgbkikg8GtpJIXY7OX55XKxjMllHcdzzyvVDaeKaG863jmeaWy8UwJ5V3HM88rlY1nSijvOp55XqlsPFNCXPcWYHDrLUo/BBBAYMQF4mZEOhjcSir6GJs8vZUmE0+Nkj4HT72VJhNPjZI+B0+9lSYTT42SPgdPvZUmE0+Nkj4HT72VJhNPjRI53gIMbr1F6YcAAgiMuEDckEgHg1tJJS/GZi/PK5WNZ0oo7zqeeV6pbDxTQnnX8czzSmXjmRLKu45nnlcqG8+UUN51PPO8Utl4poS47i3A4NZblH4IIIDAiAvEzYh0MLiVVPQxNnl6K00mnholfQ6eeitNJp4aJX0OnnorTSaeGiV9Dp56K00mnholfQ6eeitNJp4aJXK8BRjceovSDwEEEBhxgbghkQ4Gt5JKXozNXp5XKhvPlFDedTzzvFLZeKaE8q7jmeeVysYzJZR3Hc88r1Q2nimhvOt45nmlsvFMCXHdW4DBrbco/RBAAIERF4ibEelgcCup6GNs8vRWmkw8NUr6HDz1VppMPDVK+hw89VaaTDw1SvocPPVWmkw8NUr6HDz1VppMPDVK5HgLMLj1FqUfAgggMOICcUMiHQxuJZW8GJu9PK9UNp4pobzreOZ5pbLxTAnlXcczzyuVjWdKKO86nnleqWw8U0J51/HM80pl45kS4rq3AINbb1H6IYAAAiMuEDcj0sHgVlLRx9jk6a00mXhqlPQ5eOqtNJl4apT0OXjqrTSZeGqU9Dl46q00mXhqlPQ5eOqtNJl4apTI8RZgcOstSj8EEEBgxAXihkQ6GNxKKnkxNnt5XqlsPFNCedfxzPNKZeOZEsq7jmeeVyobz5RQ3nU887xS2XimhPKu45nnlcrGMyXEdW8BBrfeovRDAAEERlwgbkakg8GtpKKPscnTW2ky8dQo6XPw1FtpMvHUKOlz8NRbaTLx1Cjpc/DUW2ky8dQo6XPw1FtpMvHUKJHjLcDg1luUfggggMCIC8QNiXQwuJVU8mJs9vK8Utl4poTyruOZ55XKxjMllHcdzzyvVDaeKaG863jmeaWy8UwJ5V3HM88rlY1nSojr3gIMbr1F6YcAAgiMuEDcjEgHg1tJRR9jk6e30mTiqVHS5+Cpt9Jk4qlR0ufgqbfSZOKpUdLn4Km30mTiqVHS5+Cpt9Jk4qlRIsdbgMGttyj9EEAAgREXiBsS6WBwK6nkxdjs5XmlsvFMCeVdxzPPK5WNZ0oo7zqeeV6pbDxTQnnX8czzSmXjmRLKu45nnlcqG8+UENe9BRjceovSDwEEEBhxgbgZkQ4Gt5KKPsYmT2+lycRTo6TPwVNvpcnEU6Okz8FTb6XJxFOjpM/BU2+lycRTo6TPwVNvpcnEU6NEjrcAg1tvUfohgAACIy4QNyTSweBWUsmLsdnL80pl45kSyruOZ55XKhvPlFDedTzzvFLZeKaE8q7jmeeVysYzJZR3Hc88r1Q2nikhrnsLMLj1FqUfAgggMOICcTMiHQxuJRV9jE2e3kqTiadGSZ+Dp95Kk4mnRkmfg6feSpOJp0ZJn4On3kqTiadGSZ+Dp95Kk4mnRokcbwEGt96i9EMAAQRGXCBuSKSDwa2kkhdjs5fnlcrGMyWUdx3PPK9UNp4pobzreOZ5pbLxTAnlXcczzyuVjWdKKO86nnleqWw8U0Jc9xZgcOstSj8EEEBgxAXiZkQ6GNxKKvoYmzy9lSYTT42SPgdPvZUmE0+Nkj4HT72VJhNPjZI+B0+9lSYTT42SPgdPvZUmE0+NEjneAgxuvUXphwACCIy4QNyQSAeDW0klL8ZmL88rlY1nSijvOp55XqlsPFNCedfxzPNKZeOZEsq7jmeeVyobz5RQ3nU887xS2XimhLjuLcDg1luUfggggMCIC8TNiHQwuJVU9DE2eXorTSaeGiV9Dp56K00mnholfQ6eeitNJp4aJX0OnnorTSaeGiV9Dp56K00mnholcrwFGNx6i9IPAQQQGHGBuCGRDga3kkpejM1enlcqG8+UUN51PPO8Utl4poTyruOZ55XKxjMllHcdzzyvVDaeKaG863jmeaWy8UwJcd1bgMGttyj9EEAAgREXiJsR6WBwK6noY2zy9FaaTDw1SvocPPVWmkw8NUr6HDz1VppMPDVK+hw89VaaTDw1SvocPPVWmkw8NUrkeAswuPUWpR8CCCAwhcCOHTvCzp07w9577x3if/iH8ej1uhjcln9abPbKDSd3wHOyRvljPMsNJ3fAc7JG+WM8yw0nd8Bzskb5YzzLDSd3wHOyRvljPMsNJ3fAc7IGjwchwOB2EMo8BwIItFYgDmmvuuqqcOutt4bvfve74Xvf+16YOXNmePLJJ8OznvWs8MpXvjK88Y1vDIsXLw577bXXUDjFzYh0MLiVVPQxNnl6K00mnholfQ6eeitNJp4aJX0OnnorTSaeGiV9Dp56K00mnholfQ6eeitNJp4aJXK8BRjceovSDwEEGidw3333hcceeywcdNBB4Td+4zfU7+/HP/5xOPPMM8PNN9+crHnFK14RvvCFL4T58+cnc/udEDck0sHgVlLJi7HZy/NKZeOZEsq7jmeeVyobz5RQ3nU887xS2XimhPKu45nnlcrGMyWUdx3PPK9UNp4pIa57CzC49RalHwIINErg/PPPD+edd171nr761a+GN73pTdV5rwc33nhjWLRoUXj00Ud7pXTFDzjggLB27drxv77tujjAQNyMSAeDW0lFH2OTp7fSZOKpUdLn4Km30mTiqVHS5+Cpt9Jk4qlR0ufgqbfSZOKpUdLn4Km30mTiqVEix1uAwa23KP0QQKBRAmeddVa47LLLqvf0sY99LKxYsaI6lx5s3749vOhFLwo//OEPpcvJ2Ne+9rVwyimnJPP6lRA3JNLB4FZSyYux2cvzSmXjmRLKu45nnlcqG8+UUN51PPO8Utl4poTyruOZ55XKxjMllHcdzzyvVDaeKSGuewswuPUWpR8CCDRKwDK4veSSS8K73/1u0WH27Nnhuc99bvjP//zPsHXrVjHn8MMPD3ffffe03fM2bkakg8GtpKKPscnTW2ky8dQo6XPw1FtpMvHUKOlz8NRbaTLx1Cjpc/DUW2ky8dQo6XPw1FtpMvHUKJHjLcDg1luUfggg0CiB3MHtr371q/Cbv/mb4Wc/+1nNYcGCBeO3QXjJS14S4vB2165dId4795prrgkf/vCHQ/wr3clHHP6+853vnBwa2OO4IZEOBreSSl6MzV6eVyobz5RQ3nU887xS2XimhPKu45nnlcrGMyWUdx3PPK9UNp4pobzreOZ5pbLxTAlx3VuAwa23KP0QQKBRArmD29tuuy3ELxqbfLz1rW8Nn/vc58LTnva0yeHq8e233z5+P9yf/OQnVWzevHnhoYceCnvvvXcVG9SDuBmRDga3koo+xiZPb6XJxFOjpM/BU2+lycRTo6TPwVNvpcnEU6Okz8FTb6XJxFOjpM/BU2+lycRTo0SOtwCDW29R+iGAQKMEcge369atC2eeeWZlEAevP/rRj8Kzn/3sKiY9+MpXvhJOO+202qV77rln/F65teAATuKGRDoY3EoqeTE2e3leqWw8U0J51/HM80pl45kSyruOZ55XKhvPlFDedTzzvFLZeKaE8q7jmeeVysYzJcR1bwEGt96i9EMAgUYJ5A5uzz///HDeeedVBkuXLg2XX355dd7rQRyKHnXUUeG73/1ulXLttdeGU089tTof1IO4GZEOBreSij7GJk9vpcnEU6Okz8FTb6XJxFOjpM/BU2+lycRTo6TPwVNvpcnEU6Okz8FTb6XJxFOjRI63AINbb1H6IYBAowRyB7dve9vbxm+L0EH48pe/HOKtEjTHhRdeGD70oQ9VqR/72MfCihUrqvNBPYgbEulgcCup5MXY7OV5pbLxTAnlXcczzyuVjWdKKO86nnleqWw8U0J51/HM80pl45kSyruOZ55XKhvPlBDXvQUY3HqL0g8BBBolkDu4fc1rXhNuvPHGyuA73/lOeOUrX1mdT/XgS1/6UviDP/iDKuXtb397uOyyy6rzQT2ImxHpYHArqehjbPL0VppMPDVK+hw89VaaTDw1SvocPPVWmkw8NUr6HDz1VppMPDVK+hw89VaaTDw1SuR4CzC49RalHwIINEqgdHD7wAMPhEMPPVRlcsstt4RXvepVVe7rX//68PWvf706H9SDuCGRDga3kkpejM1enlcqG8+UUN51PPO8Utl4poTyruOZ55XKxjMllHcdzzyvVDaeKaG863jmeaWy8UwJcd1bgMGttyj9EECgUQK5g9vXve514Vvf+lZl8Itf/CLMnTu3Op/qwTe+8Y0Qh7Wd4y1veUuIX1o26CNuRqSDwa2koo+xydNbaTLx1Cjpc/DUW2ky8dQo6XPw1FtpMvHUKOlz8NRbaTLx1Cjpc/DUW2ky8dQokeMtwODWW5R+CCDQKIHcwW0ctl5zzTWVwUMPPRQOOeSQ6nyqB/FLzOLtETrHsmXLwmc+85nO6cB+xg2JdDC4lVTyYmz28rxS2XimhPKu45nnlcrGMyWUdx3PPK9UNp4pobzreOZ5pbLxTAnlXcczzyuVjWdKiOveAgxuvUXphwACjRLYc3Ab/0M9c+bMnu9x586dtWv33HNPeNGLXlSL9TpZvnx5uOiii6rL5513XhgbG6vOB/UgvkfpYHArqehjbPL0VppMPDVK+hw89VaaTDw1SvocPPVWmkw8NUr6HDz1VppMPDVK+hw89VaaTDw1SuR4CzC49RalHwIINEpgz8Ft7pvbsGFDOO6441Rlhx9+eLj33nur3PXr14eTTz65Oh/Ug7ghkQ4Gt5JKXozNXp5XKhvPlFDedTzzvFLZeKaE8q7jmeeVysYzJZR3Hc88r1Q2nimhvOt45nmlsvFMCXHdW4DBrbco/RBAoFEC73rXu8KnP/1p83vSDl/vvPPOcNRRR1XPEzcEP/vZz8Izn/nMKjaoB/G5pYPBraSij7HJ01tpMvHUKOlz8NRbaTLx1Cjpc/DUW2ky8dQo6XPw1FtpMvHUKOlz8NRbaTLx1CiR4y3A4NZblH4IINAogfhFY6eddlp49NFHs9/XgQceGDZv3hye85znJGtPP/308A//8A9VXvwr3fjXutNxxA2JdDC4lVTyYmz28rxS2XimhPKu45nnlcrGMyWUdx3PPK9UNp4pobzreOZ5pbLxTAnlXcczzyuVjWdKiOveAgxuvUXphwACjRPYsWNH+PnPf571vuJ/0OPgNv5MHdu3bw/77bdfiM/TOT7/+c+HM888s3Pa95+7fvqT8MT6a8P2OzaGH932nfCcvfcKDz351Ov58RM7fv14ezjr6q+F2Ucv7PtraeoTsMnz/WTxxNNXwLcb6xNPXwHfbqxPPH0FfLuxPvH0FfDtxvr09aSbToDBrc6JLAQQQKCvAhdeeOH4/W3jF5+9+MUvDu9973un/BI0rxcTB7Vbx5aHXVseVrWcedDBYd93nBP2OWWRKp+kugCbvbpH6RmepYL1ejzrHqVneJYK1uvxrHuUnuFZKlivx7PuUXqGZ6lgvR7PukfpGZ6lgtTnCjC4zRUjHwEEEGiAQPwL21+OrQg7Nm80vZu9jloY/s/Yx8PMZx9iqm9jEZs8308dTzx9BXy7sT7x9BXw7cb6xNNXwLcb6xNPXwHfbqxPX0+66QQY3OqcyEIAAQQaIxD/yvbxZWcUvx/++jafkM1evtlUFXhOpZN/Dc98s6kq8JxKJ/8anvlmU1XgOZVO/jU8882mqsBzKp38a3jmm01VgedUOlzrhwCD236o0hMBBBAYUgGvoW3n7TG87Uikf7LJSxvlZOCZo5XOxTNtlJOBZ45WOhfPtFFOBp45WulcPNNGORl45milc/FMG+Vk4JmjRa6XAINbL0n6IIAAAkMuEG+P8OjvH+/+KuPw9ulr13HbBIUsmz0FUkYKnhlYilQ8FUgZKXhmYClS8VQgZaTgmYGlSMVTgZSRgmcGliIVTwVSRgqeGVikuggwuHVhpAkCCCBQLrBr166wadOmMGvWrLDffvuFF7zgBeVNJ3V47B1nmO9pO6mN+DDe8/bpn10nXiP4lACbPN+VgCeevgK+3VifePoK+HZjfeLpK+DbjfWJp6+AbzfWp68n3XQCDG51TmQhgAACfRe4+OKLw/ve977qeW677bawcOHC6rzkwRPrrwlbV60oaZGsnXPex8M+pyxK5rU5gc2e76ePJ56+Ar7dWJ94+gr4dmN94ukr4NuN9Ymnr4BvN9anryfd0gIMbtNGZCCAAAIDEVi5cmW44IILque6/vrrw0knnVSdlzx49JTfDbu2PFzSIlkbb5kwd/2GZF5bE9jk+X7yeOLpK+DbjfWJp6+AbzfWJ56+Ar7dWJ94+gr4dmN9+nrSTSfA4FbnRBYCCCDQd4F+DW77dW9bCWT/X9/rdvbRPn8lLPUf9RibPd9PEE88fQV8u7E+8fQV8O3G+sTTV8C3G+sTT18B326sT19PuqUFGNymjchAAAEEBiLQr8HttrVrwrZL1wzkPexz8pvDnLHVA3muUXsSNnm+nxieePoK+HZjfeLpK+DbjfWJp6+AbzfWJ56+Ar7dWJ++nnTTCTC41TmRhQACCPRdoF+D235+KdmeKHxJ2Z4i9XM2e3WP0jM8SwXr9XjWPUrP8CwVrNfjWfcoPcOzVLBej2fdo/QMz1LBej2edY/SMzxLBanPFWBwmytGPgIIINAngX4Nbgdxf9sOCfe57Uh0/2ST121SEsGzRK+7Fs9uk5IIniV63bV4dpuURPAs0euuxbPbpCSCZ4ledy2e3SYlETxL9Ki1CjC4tcpRhwACrRBYtmxZWLdu3UDe65NPPhm2b99ePZfXl5P9/KW/VfXs9wMGt1MLs9mb2if3Kp65YlPn4zm1T+5VPHPFps7Hc2qf3Kt45opNnY/n1D65V/HMFZs6H8+pfXKv4pkrRn6pAIPbUkHqEUCg0QIve9nLwqZNm6blPY7i4DZC/d9N/zEtXsP+pGzyfD8hPPH0FfDtxvrE01fAtxvrE09fAd9urE88fQV8u7E+fT3pphNgcKtzIgsBBFoqsGDBgnDXXXdNy7v3Gtxyq4Rp+fjEJ2WzJ7KYg3ia6cRCPEUWcxBPM51YiKfIYg7iaaYTC/EUWcxBPM10YiGeIos5iKeZjkKjAINbIxxlCCDQDoHjjjsu3HzzzdPyZr0Gt4P+crIDLv1C2L17d+hsavg5Aw/WA/8eZvDvgN+L/HeB/x7ye4DfA/we4PdAM34PTMv/OORJWyvA4La1Hz1vHAEENAJXXnllWLp0aS31sMMOC8cee2wt5nFyww03hC1btlStvAa3T6y/JmxdtaLq288Hq3/6i/Cxnz7CkIohFcNqhtX8HuD3AL8H+D3A7wF+D/B7gN8Djf090M//TUVvBCYLMLidrMFjBBBAQBA48cQTw7e//e3qypFHHhk2b94cZs2aVcU8HqxcuTJccMEFVSuvwe2un/4kPPr7x1d9+/lg7tduCjOffUg/n2Jke3f+wmJk38CQvXA8fT8QPPH0FfDtxvrE01fAtxvrE09fAd9urE88fQXoNh0CDG6nQ53nRACBkRK47777whFHHBG2bdtWve41a9aEs88+uzr3eNCvwW18bYO4XcLMgw4Oc9dv8KBobA82z74fLZ54+gr4dmN94ukr4NuN9Ymnr4BvN9Ynnr4Cvt1Yn76edEsLMLhNG5GBAAIIhIsuuigsX768kpg7d2649957w7x586pY6YN+Dm4HcbuE/deuC7OPXljK0Nh6Nnm+Hy2eePoK+HZjfeLpK+DbjfWJp6+AbzfWJ56+Ar7dWJ++nnTTCTC41TmRhQACLRfYuXNnePnLXz5+i4QORbz37eWXX945Lf7Zz8FtfHH9/KvbvY5aGJ7+2XXFBk1vwGbP9xPGE09fAd9urE88fQV8u7E+8fQV8O3G+sTTV8C3G+vT15NuaQEGt2kjMhBAAIFxgTvvvHN8eLtjx47x8/gf7VtvvTUcc8wxLkL9HtzGe90+tuyMsGvLwy6vd3IT7m07WUN+zCZPdrFG8bTKyXV4yi7WKJ5WObkOT9nFGsXTKifX4Sm7WKN4WuXkOjxlF2sUT6scdSUCDG5L9KhFAIHWCaxYsSKsXr26et+LFi0KV199dXVe8qDfg9v42rbfsTE8/uvhrffBbRJ0omz2dE7aLDy1Uro8PHVO2iw8tVK6PDx1TtosPLVSujw8dU7aLDy1Uro8PHVO2iw8tVLkeQkwuPWSpA8CCLRCIH5B2eLFi8Ptt98e4n+0Tz/99PDJT37S5b1v2rQpnHvuueGRRx4Jhx56aFi7dm048MADXXpPbhKHt1vHlrv+5e0+J785zBmbGGhPfj4ePyXAJs93JeCJp6+AbzfWJ56+Ar7dWJ94+gr4dmN94ukr4NuN9enrSTedAINbnRNZCCCAQKME4m0Tfjm2IuzYvNHlfc086OAwd/0Gl15NbsJmz/fTxRNPXwHfbqxPPH0FfLuxPvH0FfDtxvrE01fAtxvr09eTbmkBBrdpIzIQQACBxgo8sf6a8MT6a9UD3Digfdpp/0/41ac+1mXC7RK6SGoBNnk1juITPIsJaw3wrHEUn+BZTFhrgGeNo/gEz2LCWgM8axzFJ3gWE9Ya4FnjKD7Bs5iQBgYBBrcGNEoQQACBpgnEv8CNt1CIQ9wf3fad8Jy99xp/iw89uSP8+Ikd4TuPbwsf3XRXmPnsQ8bj8VYLT1x3bY2Bv7qtcYgnbPZEFnMQTzOdWIinyGIO4mmmEwvxFFnMQTzNdGIhniKLOYinmU4sxFNkMQfxNNNRaBRgcGuEowwBBBBoqkDcjEjH7t27q3Ac9D76+8dX550H/NVtR6L7J5u8bpOSCJ4let21eHablETwLNHrrsWz26QkgmeJXnctnt0mJRE8S/S6a/HsNimJ4FmiR61VgMGtVY46BBBAoKECcUMiHZMHt/H6Y+84o+sWC3xJmSQ3EWOzN2Hh8QhPD8WJHnhOWHg8wtNDcaIHnhMWHo/w9FCc6IHnhIXHIzw9FCd64Dlh4fEITw9FeuQIMLjN0SIXAQQQaIFA3IxIx56D23h/3K2rVtRSuV1CjaN2wiavxlF8gmcxYa0BnjWO4hM8iwlrDfCscRSf4FlMWGuAZ42j+ATPYsJaAzxrHMUneBYT0sAgwODWgEYJAggg0GSBuCGRjj0Ht9wuQVKaOsZmb2qf3Kt45opNnY/n1D65V/HMFZs6H8+pfXKv4pkrNnU+nlP75F7FM1ds6nw8p/bJvYpnrhj5pQIMbksFqUcAAQQaJhA3I9Kx5+A25ki3S9jrqIXh6Z9dJ7VodYxNnu/HjyeevgK+3VifePoK+HZjfeLpK+DbjfWJp6+AbzfWp68n3XQCDG51TmQhgAACrRGIGxLpkAa32+/YGB5fdkZXOl9S1kUyHmCzJ7tYo3ha5eQ6PGUXaxRPq5xch6fsYo3iaZWT6/CUXaxRPK1ych2esos1iqdVjjqrAINbqxx1CCCAQEMF4mZEOqTBbcyT/uqWLynrFmST121SEsGzRK+7Fs9uk5IIniV63bV4dpuURPAs0euuxbPbpCSCZ4ledy2e3SYlETxL9Ki1CjC4tcpRhwACCDRUIG5IpKPX4JYvKZO05BibPdnFGsXTKifX4Sm7WKN4WuXkOjxlF2sUT6ucXIen7GKN4mmVk+vwlF2sUTytctRZBRjcWuWoQwABBBoqEDcj0tFrcMuXlEla3TE2ed0mJRE8S/S6a/HsNimJ4Fmi112LZ7dJSQTPEr3uWjy7TUoieJboddfi2W1SEsGzRI9aqwCDW6scdQgggEBDBeKGRDp6DW5jLrdLkMS6Y2z2uk1KIniW6HXX4tltUhLBs0SvuxbPbpOSCJ4let21eHablETwLNHrrsWz26QkgmeJHrUWAQa3FjVqEEAAgQYLxM2IdEw1uO11u4Q5Y6vD7KMXSu1aF2OT5/uR44mnr4BvN9Ynnr4Cvt1Yn3j6Cvh2Y33i6Svg24316etJN50Ag1udE1kIIIBAawTihkQ6phrcxnz+6lZSq8fY7NU9Ss/wLBWs1+NZ9yg9w7NUsF6PZ92j9AzPUsF6PZ51j9IzPEsF6/V41j1Kz/AsFaQ+V4DBba4Y+QgggEDDBeJmRDpSg9tef3U7d/0GqV3rYmzyfD9yPPH0FfDtxvrE01fAtxvrE09fAd9urE88fQV8u7E+fT3pphNgcKtzIgsBBBBojUDckEhHanDLl5RJavUYm726R+kZnqWC9Xo86x6lZ3iWCtbr8ax7lJ7hWSpYr8ez7lF6hmepYL0ez7pH6RmepYLU5wowuM0VIx8BBBBouEDcjEhHanAba7hdgiT3VIxNXm8byxU8LWq9a/DsbWO5gqdFrXcNnr1tLFfwtKj1rsGzt43lCp4Wtd41ePa2sVzB06JGTakAg9tSQeoRQACBhgnEDYl0aAa33C5BkpuIsdmbsPB4hKeH4kQPPCcsPB7h6aE40QPPCQuPR3h6KE70wHPCwuMRnh6KEz3wnLDweISnhyI9cgQY3OZokYsAAgi0QCBuRqRDM7iNt0t4bNkZYdeWh2st9jn5zWHO2OparG0nbPJ8P3E88fQV8O3G+sTTV8C3G+sTT18B326sTzx9BXy7sT59PemmE2Bwq3MiCwEEEGiNQNyQSIdmcBvr+KtbSe+pGJu93jaWK3ha1HrX4NnbxnIFT4ta7xo8e9tYruBpUetdg2dvG8sVPC1qvWvw7G1juYKnRY2aEgEGtyV61CKAAAINFIibEenQDm75kjJJLwQ2ebKLNYqnVU6uw1N2sUbxtMrJdXjKLtYonlY5uQ5P2cUaxdMqJ9fhKbtYo3ha5agrEWBwW6JHLQIIINBAgbghkQ7t4DbW8iVlkiDDW1nFHmXzbLeTKvGUVOwxPO12UiWekoo9hqfdTqrEU1Kxx/C020mVeEoq9hiedjsqbQIMbm1uVCGAAAKNFYibEenIGdxyu4RuQTZ53SYlETxL9Lpr8ew2KYngWaLXXYtnt0lJBM8Sve5aPLtNSiJ4luh11+LZbVISwbNEj1qrAINbqxx1CCCAQEMF4oZEOnIGt71ul7DvWeeEfZedI7VvRYzNnu/HjCeevgK+3VifePoK+HZjfeLpK+DbjfWJp6+AbzfWp68n3dICDG7TRmQggAACrRKImxHpyBncxvpta9eEbZeuqbWaedDBYe76DbVYW07Y5Pl+0nji6Svg2431iaevgG831ieevgK+3VifePoK+HZjffp60k0nwOBW50QWAggg4CLwyCOPhH/6p38K27ZtCwcccEA444wzxr+0yqW5U5O4IZGO3MFtr7+63X/tujD76IXSUzQ+xmbP9yPGE09fAd9urE88fQV8u7E+8fQV8O3G+sTTV8C3G+vT15NuaQEGt2kjMhBAAAE3gfe///3hE5/4RNXvm9/8Znjta19bnQ/Dg7gZkY7cwW3swZeUTUiyyZuw8HiEp4fiRA88Jyw8HuHpoTjRA88JC49HeHooTvTAc8LC4xGeHooTPfCcsPB4hKeHIj1yBRjc5oqRjwACCBQIvOc97wlr1kzcPuDaa68Np556akFH/9K4IZEOy+CWLymrS7LZq3uUnuFZKlivx7PuUXqGZ6lgvR7PukfpGZ6lgvV6POsepWd4lgrW6/Gse5Se4VkqSH2uAIPbXDHyEUAAgQKBtg1uuV3CxGJhkzdh4fEITw/FiR54Tlh4PMLTQ3GiB54TFh6P8PRQnOiB54SFxyM8PRQneuA5YeHxCE8PRXrkCjC4zRUjHwEEWiWwffv28L3vfc/tPa9evTp88YtfrPrF2ya8+tWvrs47D2bNmhVe/OIXT8v9b+OGRDosf3Eb+2wdWx6euO7aWsu2fkkZm73aMig+wbOYsNYAzxpH8QmexYS1BnjWOIpP8CwmrDXAs8ZRfIJnMWGtAZ41juITPIsJaZApwOA2E4x0BBBol8BHPvKR8OEPf3ha3vT1118fTjrppIE/d9yMSId1cMtf3T6lySZPWlX2GJ52O6kST0nFHsPTbidV4imp2GN42u2kSjwlFXsMT7udVImnpGKP4Wm3o9IuwODWbkclAgi0QGDRokUh3od2Oo7PfOYzYdmyZQN/6rghkQ7r4Db24kvKnhJlsyetLHsMT7udVImnpGKP4Wm3kyrxlFTsMTztdlIlnpKKPYan3U6qxFNSscfwtNtRaRNgcGtzowoBBFoi8NrXvjbccMMN0/JuP/3pT4c/+ZM/Gfhzx82IdJQMbvmSsjB+24sSQ+kzaXOMTbPvp48nnr4Cvt1Yn3j6Cvh2Y33i6Svg2431iaevAN2mQ4DB7XSo85wIIDAyAq95zWvCjTfeOC2v96tf/Wp405veNPDnjhs86SgZOnK7hKdE2TxLK8sew9NuJ1XiKanYY3ja7aRKPCUVewxPu51UiaekYo/habeTKvGUVOwxPO12VNoEGNza3KhCAIGWCJx88snhn//5n2vvNn5pWLzv7f7771+La04uvvji8K1vfatKPeecc8Ib3vCG6rzzYK+99grHH398iD8HfcTNiHSUDG5jv7bfLoFNnrSq7DE87XZSJZ6Sij2Gp91OqsRTUrHH8LTbSZV4Sir2GJ52O6kST0nFHsPTbkelXYDBrd2OSgQQaIHAihUrwurVq7ve6UEHHTQeP/PMM7uuTRV4z3veE9asWVOlxPvnnnrqqdX5MDyIGxLpKB3cbr9jY3h82Rldrfdfuy7MPnphV7yJATZ7vp8qnnj6Cvh2Y33i6Svg2431iaevgG831ieevgK+3Vifvp50SwswuE0bkYEAAi0W+PnPfx7OOuusnl9Qduyxx4a/+Zu/Cb/zO7+jUmrz4DYCtfmvbtnkqf6JqJPwVFOpEvFUMamT8FRTqRLxVDGpk/BUU6kS8VQxqZPwVFOpEvFUMamT8FRTkegowODWEZNWCCDQXIF4e4N4W4Mf/OAHXW9y1qxZ418i9pGPfCQ84xnP6Lo+OdD2wW3bv6SMzd7kfw3lj/EsN5zcAc/JGuWP8Sw3nNwBz8ka5Y/xLDec3AHPyRrlj/EsN5zcAc/JGuWP8Sw3pEOeAIPbPC+yEUCgxQLbt28Pn/rUp8L5558fHn/88S6JAw88MHz0ox8Nf/zHfxzif9Clo+2D2zZ/SRmbPOlfhD2Gp91OqsRTUrHH8LTbSZV4Sir2GJ52O6kST0nFHsPTbidV4imp2GN42u2otAswuLXbUYkAAi0V2LJlS1i+fHn4+7//e1HgpS996fjtExYu7L5va9sHtxGM2yXsFtcNwXwBNs/5ZlNV4DmVTv41PPPNpqrAcyqd/Gt45ptNVYHnVDr51/DMN5uqAs+pdPKv4ZlvRkWZAIPbMj+qEUCgxQK33HJL+NM//dNw1113dSnE/6AvXbo0XHjhhWHevHnVdQa3IfS6XcKcsdWN/pIyNnnVPwOXB3i6MFZN8KwoXB7g6cJYNcGzonB5gKcLY9UEz4rC5QGeLoxVEzwrCpcHeLow0iRTgMFtJhjpCCCAwGSBnTt3hs985jNh5cqV4Re/+MXkS+OP586dG1atWhXe/e53h3gvXAa3TxG19a9u2ex1/RMpCuBZxNdVjGcXSVEAzyK+rmI8u0iKAngW8XUV49lFUhTAs4ivqxjPLpKiAJ5FfBQbBBjcGtAoQQABBPYU+O///u/woQ99KFx22WVh9+7u/6/wRxxxRPjrv/7rcO2114Y1a9ZU5fH81FNPrc6H4UHcjEiH9L6kPE2s11/dzl2/QVM+kjls8nw/Njzx9BXw7cb6xNNXwLcb6xNPXwHfbqxPPH0FfLuxPn096aYTYHCrcyILAQQQUAls2rRp/PYJGzduVOW3dXDb1i8pY7On+mehTsJTTaVKxFPFpE7CU02lSsRTxaROwlNNpUrEU8WkTsJTTaVKxFPFpE7CU01FopMAg1snSNoggAACHYH4l6lXXHFF+OAHPxj+67/+qxMWf7Z1cBsx2na7BDZ54j8BcxBPM51YiKfIYg7iaaYTC/EUWcxBPM10YiGeIos5iKeZTizEU2QxB/E001FYIMDgtgCPUgQQQGAqgUcffTScd9554W//9m9DvBeudLR5cMvtEqQVQSxHgM1zjlY6F8+0UU4Gnjla6Vw800Y5GXjmaKVz8Uwb5WTgmaOVzsUzbZSTgWeOFrkeAgxuPRTpgQACCEwhcPfdd4ezzz47bNjQff/Wr371q+FNb3rTFNWDvxQ3I9LheY/b2D/eLuGxZWeEXVserj3dPie/OcwZW12LNeGETZ7vp4gnnr4Cvt1Yn3j6Cvh2Y33i6Svg2431iaevgG831qevJ910AgxudU5kIYAAAsUCV199dbj00kvD/fffP/4XuAcffHD44he/GA455JDi3p4N4oZEOrwHt/E52vZXt2z2pJVlj+Fpt5Mq8ZRU7DE87XZSJZ6Sij2Gp91OqsRTUrHH8LTbSZV4Sir2GJ52OyptAgxubW5UIYAAAo0ViJsR6ejH4LZNX1LGJk9aVfYYnnY7qRJPScUew9NuJ1XiKanYY3ja7aRKPCUVewxPu51UiaekYo/habej0i7A4NZuRyUCCCDQSIG4IZGOfgxu4/O06UvK2OxJK8sew9NuJ1XiKanYY3ja7aRKPCUVewxPu51UiaekYo/habeTKvGUVOwxPO12VNoEGNza3KhCAAEEGisQNyPS0a/BbVtul8AmT1pV9hiedjupEk9JxR7D024nVeIpqdhjeNrtpEo8JRV7DE+7nVSJp6Rij+Fpt6PSLsDg1m5HJQIIIOAqsGvXrrBp06Ywa9assN9++4UXvOAFrv21zeKGRDr6NbjtdbuEfc86J+y77BzppYxsjM2e70eHJ56+Ar7dWJ94+gr4dmN94ukr4NuN9Ymnr4BvN9anryfd0gIMbtNGZCCAAAIDEbj44ovD+973vuq5brvttrBw4cLqfFAP4mZEOvo1uI3PtW3tmrDt0jW1p5150MFh7voNtdgon7DJ8/308MTTV8C3G+sTT18B326sTzx9BXy7sT7x9BXw7cb69PWkm06Awa3OiSwEEECg7wIrV64MF1xwQfU8119/fTjppJOq80E9iLDoHH8AAEAASURBVBsS6ejn4LbXX93uv3ZdmH304IfX0vv3iLHZ81Cc6IHnhIXHIzw9FCd64Dlh4fEITw/FiR54Tlh4PMLTQ3GiB54TFh6P8PRQnOiB54QFjwYjwOB2MM48CwIIIJAUaPPgNuI0/UvK2OQl/wlkJeCZxZVMxjNJlJWAZxZXMhnPJFFWAp5ZXMlkPJNEWQl4ZnElk/FMEmUl4JnFRbKTAINbJ0jaIIAAAqUCbR/ctuFLytjslf4rqdfjWfcoPcOzVLBej2fdo/QMz1LBej2edY/SMzxLBev1eNY9Ss/wLBWs1+NZ9+Cs/wIMbvtvzDMggAACKoG2D26bfrsENnmqfwbqJDzVVKpEPFVM6iQ81VSqRDxVTOokPNVUqkQ8VUzqJDzVVKpEPFVM6iQ81VQkOgowuHXEpBUCCCBQItD2wW202zq2PDxx3bU1xiZ9SRmbvdpHW3yCZzFhrQGeNY7iEzyLCWsN8KxxFJ/gWUxYa4BnjaP4BM9iwloDPGscxSd4FhPSIFOAwW0mGOkIINAugWXLloV169YN5E0/+eSTYfv27dVztenLyTpvusl/dcsmr/Mp+/zE08ex0wXPjoTPTzx9HDtd8OxI+PzE08ex0wXPjoTPTzx9HDtd8OxI+PzE08eRLnkCDG7zvMhGAIGWCbzsZS8LmzZtmpZ33cbBbYRu8peUsdnz/aeEJ56+Ar7dWJ94+gr4dmN94ukr4NuN9Ymnr4BvN9anryfd0gIMbtNGZCCAQIsFFixYEO66665pERi2wW1E2L17d+hsVvr18w8PfHr4m/nzaubxdgnPuO7/Hcjz9+t90XcGn98A/v2wzlhng/g9zTpjnbHO+r8f4t8Z/874dza8/85q/0OFEwT6LMDgts/AtEcAgdEWOO6448LNN988LW9i2Aa3g9o87nz4ofDo7x/fZb7/2nVh75cew/CP4V/f/48H/I9l/sfyoH7f8TzD+z/K+T3A7wH+ffLvk98D/B6Y6vdA1/9YIYBAnwQY3PYJlrYIINAMgSuvvDIsXbq09mYOO+ywcOyxx9ZiHic33HBD2LJlS9VqGAe31Yvr84Mm3i6hs/nvM11r2uPp+1HjiaevgG831ieevgK+3VifePoK+HZjfeLpK0C36RBgcDsd6jwnAgiMlMCJJ54Yvv3tb1ev+cgjjwybN28Os2bNqmIeD1auXBkuuOCCqlWbB7fb79gYHl92RmXReRD/6nb20Qs7pyP3k82z70eGJ56+Ar7dWJ94+gr4dmN94ukr4NuN9Ymnr4BvN9anryfd0gIMbtNGZCCAQMsF7rvvvnDEEUeEbdu2VRJr1qwJZ599dnXu8YDBbV2xaX91yyav/vmWnuFZKlivx7PuUXqGZ6lgvR7PukfpGZ6lgvV6POsepWd4lgrW6/Gse5Se4VkqSL1FgMGtRY0aBBBoncBFF10Uli9fXr3vuXPnhnvvvTfMm1f/Eq0qwfCAwW0d7Yn114Stq1bUgvFLyuau31CLjdIJmz3fTwtPPH0FfLuxPvH0FfDtxvrE01fAtxvrE09fAd9urE9fT7qlBRjcpo3IQAABBMLOnTvDy1/+8vFbJHQ44r1vL7/88s5p8U8Gt3XCXT/9Sc8vKRvF2yWwyat/vqVneJYK1uvxrHuUnuFZKlivx7PuUXqGZ6lgvR7PukfpGZ6lgvV6POsepWd4lgpSbxFgcGtRowYBBFopcOedd44Pb3fs2DH+/uN/uG+99dZwzDHHuHgwuO1m5HYJ3SZEJgTYPE9YeDzC00NxogeeExYej/D0UJzogeeEhccjPD0UJ3rgOWHh8QhPD8WJHnhOWPBoMAIMbgfjzLMggEBDBFasWBFWr15dvZtFixaFq6++ujovecDgtluv1+0S5oytHrkvKWOT1/35lkTwLNHrrsWz26QkgmeJXnctnt0mJRE8S/S6a/HsNimJ4Fmi112LZ7dJSQTPEj1qrQIMbq1y1CGAQCsF4heULV68ONx+++0h/of79NNPD5/85CddLDZt2hTOPffc8Mgjj4RDDz00rF27Nhx44IEuvXOaxPclHbt375bCfY816a9u2ez5Lhc88fQV8O3G+sTTV8C3G+sTT18B326sTzx9BXy7sT59PemWFmBwmzYiAwEEEGiVQNyMSMd0DW57/dXtqH1JGZs8aVXZY3ja7aRKPCUVewxPu51UiaekYo/habeTKvGUVOwxPO12UiWekoo9hqfdjkq7AINbux2VCCCAQCMF4oZEOqZrcNukLyljsyetLHsMT7udVImnpGKP4Wm3kyrxlFTsMTztdlIlnpKKPYan3U6qxFNSscfwtNtRaRNgcGtzowoBBBBorEDcjEjHdA1u42tpwu0S2ORJq8oew9NuJ1XiKanYY3ja7aRKPCUVewxPu51UiaekYo/habeTKvGUVOwxPO12VNoFGNza7ahEAAEEGikQNyTSMZ2DW26XIH0ixNg8+64BPPH0FfDtxvrE01fAtxvrE09fAd9urE88fQXoNmgBBreDFuf5EEAAgSEXiJs76ZjOwW28XcJjy84Iu7Y8XHtp+5z85jBnbHUtNqwnbJp9Pxk88fQV8O3G+sTTV8C3G+sTT18B326sTzx9BXy7sT59PemmE2Bwq3MiCwEEEGiNQNyQSMd0Dm7j62nCX92y2ZNWlj2Gp91OqsRTUrHH8LTbSZV4Sir2GJ52O6kST0nFHsPTbidV4imp2GN42u2otAkwuLW5UYUAAgg0ViBuRqRjuge3o/4lZWzypFVlj+Fpt5Mq8ZRU7DE87XZSJZ6Sij2Gp91OqsRTUrHH8LTbSZV4Sir2GJ52OyrtAgxu7XZUIoAAAo0UiBsS6ZjuwW18TaP+JWVs9qSVZY/habeTKvGUVOwxPO12UiWekoo9hqfdTqrEU1Kxx/C020mVeEoq9hiedjsqbQIMbm1uVCGAAAKNFYibEekYhsHtKN8ugU2etKrsMTztdlIlnpKKPYan3U6qxFNSscfwtNtJlXhKKvYYnnY7qRJPScUew9NuR6VdgMGt3Y5KBBBAoJECcUMiHcMwuO11u4R9zzon7LvsHOllD1WMzZ7vx4Ennr4Cvt1Yn3j6Cvh2Y33i6Svg2431iaevgG831qevJ93SAgxu00ZkIIAAAq0SiJsR6RiGwW18XdvWrgnbLl1Te4kzDzo4zF2/oRYbthM2eb6fCJ54+gr4dmN94ukr4NuN9Ymnr4BvN9Ynnr4Cvt1Yn76edNMJMLjVOZGFAAIItEYgbkikY1gGt73+6nb/tevC7KMXSi99aGJs9nw/Cjzx9BXw7cb6xNNXwLcb6xNPXwHfbqxPPH0FfLuxPn096ZYWYHCbNiIDAQQQaJVA3IxIx7AMbuNrG8UvKWOTJ60qewxPu51UiaekYo/habeTKvGUVOwxPO12UiWekoo9hqfdTqrEU1Kxx/C021FpF2Bwa7ejEgEEEGikQNyQSMcwDW5H9UvK2OxJK8sew9NuJ1XiKanYY3ja7aRKPCUVewxPu51UiaekYo/habeTKvGUVOwxPO12VNoEGNza3KhCAAEEGisQNyPSMUyD21G8XQKbPGlV2WN42u2kSjwlFXsMT7udVImnpGKP4Wm3kyrxlFTsMTztdlIlnpKKPYan3Y5KuwCDW7sdlQgggEAjBeKGRDqGaXAbX9/WseXhieuurb3UYf+SMjZ7tY+r+ATPYsJaAzxrHMUneBYT1hrgWeMoPsGzmLDWAM8aR/EJnsWEtQZ41jiKT/AsJqRBpgCD20ww0hFAAIGmC8TNiHQM2+B21P7qlk2etKrsMTztdlIlnpKKPYan3U6qxFNSscfwtNtJlXhKKvYYnnY7qRJPScUew9NuR6VdgMGt3Y5KBBBAoJECcUMiHcM2uI2vcdS+pIzNnrSy7DE87XZSJZ6Sij2Gp91OqsRTUrHH8LTbSZV4Sir2GJ52O6kST0nFHsPTbkelTYDBrc2NKgQQQKCxAnEzIh3DOLgdpS8pY5MnrSp7DE+7nVSJp6Rij+Fpt5Mq8ZRU7DE87XZSJZ6Sij2Gp91OqsRTUrHH8LTbUWkXYHBrt6MSAQQQaKRA3JBIxzAObrldgvRJtSfG5tn3s8YTT18B326sTzx9BXy7sT7x9BXw7cb6xNNXgG6DFmBwO2hxng8BBBAYcoG4uZOOYRzcxtc5KrdLYNMsrSp7DE+7nVSJp6Rij+Fpt5Mq8ZRU7DE87XZSJZ6Sij2Gp91OqsRTUrHH8LTbUWkXYHBrt6MSAQQQaKRA3JBIx7AObrffsTE8vuyMrpe8/9p1YfbRC7vi0xlgs+erjyeevgK+3VifePoK+HZjfeLpK+DbjfWJp6+AbzfWp68n3dICDG7TRmQggAACrRKImxHpGNbBbXyto/BXt2zypFVlj+Fpt5Mq8ZRU7DE87XZSJZ6Sij2Gp91OqsRTUrHH8LTbSZV4Sir2GJ52OyrtAgxu7XZUIoAAAo0UiBsS6Rjmwe2ofEkZmz1pZdljeNrtpEo8JRV7DE+7nVSJp6Rij+Fpt5Mq8ZRU7DE87XZSJZ6Sij2Gp92OSpsAg1ubG1UIIIBAYwXiZkQ6hnlwOwpfUsYmT1pV9hiedjupEk9JxR7D024nVeIpqdhjeNrtpEo8JRV7DE+7nVSJp6Rij+Fpt6PSLsDg1m5HJQIIINBIgbghkY5hHtzG18vtEqRPrdkxNs++ny+eePoK+HZjfeLpK+DbjfWJp6+AbzfWJ56+AnQbtACD20GL83wIIIDAkAvEzZ10DPvgttftEuaMrR6KLylj0yytKnsMT7udVImnpGKP4Wm3kyrxlFTsMTztdlIlnpKKPYan3U6qxFNSscfwtNtRaRdgcGu3oxIBBBBopEDckEjHsA9u4+0Sfjm2IuzYvLH28vc5+c0hDm+H4WCz5/sp4Imnr4BvN9Ynnr4Cvt1Yn3j6Cvh2Y33i6Svg24316etJt7QAg9u0ERkIIIBAscD//u//hksuuSTceuutYfPmzWHHjh3hwAMPDC95yUvCUUcdFV772teG5z//+cXP49EgbkakY9gHt/E19/qr27nrN0hvaaAxNnm+3Hji6Svg2431iaevgG831ieevgK+3VifePoK+HZjffp60k0nwOBW50QWAgggMC7w6KOPhn/7t38L99xzT/iP//iPcMABB4Tf+q3fCi960YvCggULRKWNGzeGJUuWhB/84Afi9RjcZ599wurVq8M555zTM2dQF+KGRDpGYXA77F9SxmZPWln2GJ52O6kST0nFHsPTbidV4imp2GN42u2kSjwlFXsMT7udVImnpGKP4Wm3o9ImwODW5kYVAgi0TGDXrl3hE5/4RFi5cmV44oknxHf/u7/7u+EjH/lIeNWrXlVd/+53vxsWLlwYnnzyySo21YOTTz45fO5znwvPeMYzpkrr67W4GZGOURjcxtc9rF9SxiZPWlX2GJ52O6kST0nFHsPTbidV4imp2GN42u2kSjwlFXsMT7udVImnpGKP4Wm3o9IuwODWbkclAgi0RODxxx8Pr3/968dvc5B6y/E/5l/4whfC6aefHuLtEV760peG733ve6my2vWzzjorfPazn63FBnkS34N0jMrgltslSJ9eM2Nsnn0/Vzzx9BXw7cb6xNNXwLcb6xNPXwHfbqxPPH0F6DZoAQa3gxbn+RBAYOQEPvjBD4aPf/zj6tc9e/bscMMNN4zfy/bP/uzP1HWdxFmzZo3fjuGFL3xhJzTQn3FzJx2jMriNt0t4bNkZYdeWh2tvY7q/pIxNc+3jKD7Bs5iw1gDPGkfxCZ7FhLUGeNY4ik/wLCasNcCzxlF8gmcxYa0BnjWO4hM8iwlpYBBgcGtAowQBBNojcP/994c4QO11e4ReEq973evGL33zm9+spbz61a8OixcvHr8fbrxfbvyysosuuij86le/quXFWyasX7++FhvUSdyQSMeoDG7jax/Wv7plsyetLHsMT7udVImnpGKP4Wm3kyrxlFTsMTztdlIlnpKKPYan3U6qxFNSscfwtNtRaRNgcGtzowoBBFoi8IEPfCD85V/+Zde7fc1rXhPicPZpT3tauPvuu8PXv/718PDD9b/w3LPo/e9///hf7s6cObN26Yc//GE49dRTu26p8OCDD4bnPve5tdxBnMTNiHSM0uB2GL+kjE2etKrsMTztdlIlnpKKPYan3U6qxFNSscfwtNtJlXhKKvYYnnY7qRJPScUew9NuR6VdgMGt3Y5KBBBogcApp5wSrrvuuuqdxqHrunXrxu9hWwV//SD+9Wy8N+3VV189OVw9fstb3hK+8pWvVOd7Pti4cWN4xSteESYPR7/1rW+FE088cc/Uvp/HDYl0TH5t0vVhiw3jl5Sx2fNdJXji6Svg2431iaevgG831ieevgK+3VifePoK+HZjffp60i0twOA2bUQGAgi0WODwww8P9957byXwnve8J/zVX/1Vdb7ng/glZt/4xjf2DIc777xz/PYIXRcmBU477bTacPeSSy4J73znOydlDOZh3IxIx6gNboftdgls8qRVZY/habeTKvGUVOwxPO12UiWekoo9hqfdTqrEU1Kxx/C020mVeEoq9hiedjsq7QIMbu12VCKAQMMFdu7cGfbdd9+wffv26p3+6Ec/CvPnz6/O93wQb5uwYMGCsGvXrurSscceG26++ebqvNeDT33qU+G9731vdfnP//zPwyc+8YnqfFAP4oZEOkZtcNvrdglzzvt42OeURdJb7HuMzZ4vMZ54+gr4dmN94ukr4NuN9Ymnr4BvN9Ynnr4Cvt1Yn76edEsLMLhNG5GBAAItFdi2bVvYb7/9qncfh7hbt24N8T/WUx2vetWrwi233FKlvOMd7whr166tzns9+Jd/+Zfwe7/3e9XlN77xjeEf//Efq/NBPej1/kZtcBu9tq1dE7ZduqZGN/Ogg8Pc9RtqsUGcsMnzVcYTT18B326sTzx9BXy7sT7x9BXw7cb6xNNXwLcb69PXk246AQa3OieyEECgpQJPf/rTw+OPPz7+7rWD27e//e3h8ssvr8T+4i/+InzoQx+qzns9uPHGG0P80rPOEe+v+7Wvfa1zOrCfcUMiHaM4uO31V7f7r10XZh+9UHqbfY2x2fPlxRNPXwHfbqxPPH0FfLuxPvH0FfDtxvrE01fAtxvr09eTbmkBBrdpIzIQQKDFAr/9278d/v3f/70SSN0qISZeeOGFtUHt5z//+XDmmWdWPXo9uOKKK8If/dEfVZfj47/7u7+rzgf1IG5GpGMUB7fxfQzLl5SxyZNWlT2Gp91OqsRTUrHH8LTbSZV4Sir2GJ52O6kST0nFHsPTbidV4imp2GN42u2otAswuLXbUYkAAi0QiLcrmPxXr3G4umTJkinf+ac//enwrne9q8r58pe/HN761rdW570enHvuueGjH/1odfmDH/zg+BC4CgzoQdyQSMeoDm6H6UvK2OxJK8sew9NuJ1XiKanYY3ja7aRKPCUVewxPu51UiaekYo/habeTKvGUVOwxPO12VNoEGNza3KhCAIGWCHz2s58Ny5Ytq97tUUcdFe64447qXHpgHdweeeSRIX65WefQDIk7uZ4/42ZEOkZ1cDsst0tgkyetKnsMT7udVImnpGKP4Wm3kyrxlFTsMTztdlIlnpKKPYan3U6qxFNSscfwtNtRaRdgcGu3oxIBBFogsGXLlvDc5z437Nixo3q38UvE3vCGN1Tnez647LLLwllnnVWF4xeMxb/cneqIA9s4uJ18aG7LMDnf63HckEjHqA5u43vZOrY8PHHdtbW3NR1fUsZmr/YRFJ/gWUxYa4BnjaP4BM9iwloDPGscxSd4FhPWGuBZ4yg+wbOYsNYAzxpH8QmexYQ0yBRgcJsJRjoCCLRPYM8vG3v+858f7rnnnjB79mwRY+vWrSEObx955JHwnOc8JyxdujTstddeYm4nuOdzPO95z6vdW7eTN4ifcTMiHaM8uB2Gv7plkyetKnsMT7udVImnpGKP4Wm3kyrxlFTsMTztdlIlnpKKPYan3U6qxFNSscfwtNtRaRdgcGu3oxIBBFoi8OMf/3j8r2H/53/+p3rHX/rSl8LixYur85IH999/f4hfgjb5r3pXr14dPvCBD5S0NdfGDYl0jPLgNr6fYfiSMjZ70sqyx/C020mVeEoq9hiedjupEk9JxR7D024nVeIpqdhjeNrtpEo8JRV7DE+7HZU2AQa3NjeqEECgZQK33HJLuPjii0Mc3s6ZMyeMjY2FeL9bj+P8888P5513XtVq3rx54d577w1z586tYoN8EDcj0jHqg9vp/pIyNnnSqrLH8LTbSZV4Sir2GJ52O6kST0nFHsPTbidV4imp2GN42u2kSjwlFXsMT7sdlXYBBrd2OyoRQAABF4Hvf//74fLLLw/btm0bH9b+4R/+YXjhC1/o0tvSJG5IpGPUB7fcLkH6VEc7xubZ9/PDE09fAd9urE88fQV8u7E+8fQV8O3G+sTTV4BugxZgcDtocZ4PAQQQGHKBuLmTjlEf3Mb3NJ23S2DTLK0qewxPu51UiaekYo/habeTKvGUVOwxPO12UiWekoo9hqfdTqrEU1Kxx/C021FpF2Bwa7ejEgEEEGikQNyQSEcTBrfb79gYHl92Rtfb23/tujD76IVdce8Amz1fUTzx9BXw7cb6xNNXwLcb6xNPXwHfbqxPPH0FfLuxPn096ZYWYHCbNiIDAQQQaJVA3IxIRxMGt/F9Tddf3bLJk1aVPYan3U6qxFNSscfwtNtJlXhKKvYYnnY7qRJPScUew9NuJ1XiKanYY3ja7ai0CzC4tdtRiQACCDRSIG5IpKMpg9vp/JIyNnvSyrLH8LTbSZV4Sir2GJ52O6kST0nFHsPTbidV4imp2GN42u2kSjwlFXsMT7sdlTYBBrc2N6oQQAABd4Fdu3aFTZs2hVmzZoX99tsvvOAFL3B/Dk3DuBmRjqYMbqfrS8rY5Emryh7D024nVeIpqdhjeNrtpEo8JRV7DE+7nVSJp6Rij+Fpt5Mq8ZRU7DE87XZU2gUY3NrtqEQAAQRcBS6++OLwvve9r+p52223hYUL+3/f1eoJ//8HcUMiHU0Z3Mb3xu0SpE949GJsnn0/Mzzx9BXw7cb6xNNXwLcb6xNPXwHfbqxPPH0F6DZoAQa3gxbn+RBAAIEeAitXrgwXXHBBdfX6668PJ510UnU+qAdxcycdTRrc9rpdwpyx1X37kjI2zdKqssfwtNtJlXhKKvYYnnY7qRJPScUew9NuJ1XiKanYY3ja7aRKPCUVewxPux2VdgEGt3Y7KhFAAAFXAQa3rpxTNou3S/jl2IqwY/PGWt4+J785xOFtvw42e76yeOLpK+DbjfWJp6+AbzfWJ56+Ar7dWJ94+gr4dmN9+nrSLS3A4DZtRAYCCCAwEAEGtwNhrp6k11/dzl2/ocrxfMAmz1MzBDzx9BXw7cb6xNNXwLcb6xNPXwHfbqxPPH0FfLuxPn096aYTYHCrcyILAQQQ6LsAg9u+E9eeYDq+pIzNXu0jKD7Bs5iw1gDPGkfxCZ7FhLUGeNY4ik/wLCasNcCzxlF8gmcxYa0BnjWO4hM8iwlpkCnA4DYTjHQEEECgXwIMbvsl27vvIL+kjE1e78/BcgVPi1rvGjx721iu4GlR612DZ28byxU8LWq9a/DsbWO5gqdFrXcNnr1tLFfwtKhRUyrA4LZUkHoEEGi0wLJly8K6desG8h6ffPLJsH379uq5+HKyiqJvD7hdQt9oB9KYzbMvM554+gr4dmN94ukr4NuN9Ymnr4BvN9Ynnr4CdBu0AIPbQYvzfAggMFICL3vZy8KmTZum5TUP2+A2Iuzevbu6t2hnEzjKP3c+/FC4+/XHhufsvVftM45fUvZ/Vl3UuPfbtM+P99Osf498nnyeo/zfE9Yv65f1O4N9U8P2yfxe6/17rfY/HDhBoM8CDG77DEx7BBAYbYEFCxaEu+66a1rexLANbpu6efvfr10dtq5aUfuMH3pyR/idf3ugUUPqpn5+vK/e/6OCIQJDBP598O+D3wP8HuD3AL8H+D3Qn98Dtf/xwAkCfRRgcNtHXFojgMDoCxx33HHh5ptvnpY3MoyD22mB6POTDupLyjqb5j6/nda0x9P3o8YTT18B326sTzx9BXy7sT7x9BXw7cb6xNNXgG7TIcDgdjrUeU4EEBgZgSuvvDIsXbq09noPO+ywcOyxx9ZiHic33HBD2LJlS9WKwW1F0fcHg/qSMjbPvh8lnnj6Cvh2Y33i6Svg2431iaevgG831ieevgK+3Vifvp50SwswuE0bkYEAAi0XOPHEE8O3v/3tSuHII48MmzdvDrNmzapiHg9WrlwZLrjggqoVg9uKou8PBvElZWzyfD9GPPH0FfDtxvrE01fAtxvrE09fAd9urE88fQV8u7E+fT3pphNgcKtzIgsBBFoscN9994UjjjgibNu2rVJYs2ZNOPvss6tzjwcMbj0UbT163S5hznkfD/ucssjWVKhisyegFITwLMATSvEUUApCeBbgCaV4CigFITwL8IRSPAWUghCeBXhCKZ4CSkEIzwI8Sk0CDG5NbBQhgEDbBC666KKwfPny6m3PnTs33HvvvWHevHlVrPQBg9tSwbL6bWvXhG2Xrqk1mXnQwWHu+g21mPWETZ5VTq7DU3axRvG0ysl1eMou1iieVjm5Dk/ZxRrF0yon1+Epu1ijeFrl5Do8ZRei/RVgcNtfX7ojgEBDBHbu3Ble/vKXj98iofOW4r1vL7/88s5p8U8Gt8WERQ16/dXt/mvXhdlHLyzq3Slms9eR8PmJp49jpwueHQmfn3j6OHa64NmR8PmJp49jpwueHQmfn3j6OHa64NmR8PmJp48jXfQCDG71VmQigEDLBe68887x4e2OHTvGJeJ/tG+99dZwzDHHuMgwuHVhLGrSzy8pY5NX9NF0FePZRVIUwLOIr6sYzy6SogCeRXxdxXh2kRQF8Czi6yrGs4ukKIBnEV9XMZ5dJAQGIMDgdgDIPAUCCDRHYMWKFWH16tXVG1q0aFG4+uqrq/OSBwxuS/R8avv9JWVs9nw+p04XPDsSPj/x9HHsdMGzI+HzE08fx04XPDsSPj/x9HHsdMGzI+HzE08fx04XPDsS/ByUAIPbQUnzPAgg0AiB+AVlixcvDrfffnuI/9E+/fTTwyc/+UmX97Zp06Zw7rnnhkceeSQceuihYe3ateHAAw906Z3TJL4v6di9e7cUblSsn7dLYJPnu1TwxNNXwLcb6xNPXwHfbqxPPH0FfLuxPvH0FfDtxvr09aSbToDBrc6JLAQQQKA1AnFDIh1tGNzG9711bHl44rprawReX1LGZq/GWnyCZzFhrQGeNY7iEzyLCWsN8KxxFJ/gWUxYa4BnjaP4BM9iwloDPGscxSd4FhPSIFOAwW0mGOkIIIBA0wXiZkQ62jK47ddf3bLJk1aVPYan3U6qxFNSscfwtNtJlXhKKvYYnnY7qRJPScUew9NuJ1XiKanYY3ja7ai0CzC4tdtRiQACCDRSIG5IpKMtg9v43vv1JWVs9qSVZY/habeTKvGUVOwxPO12UiWekoo9hqfdTqrEU1Kxx/C020mVeEoq9hiedjsqbQIMbm1uVCGAAAKNFYibEelo0+C2H19SxiZPWlX2GJ52O6kST0nFHsPTbidV4imp2GN42u2kSjwlFXsMT7udVImnpGKP4Wm3o9IuwODWbkclAggg0EiBuCGRjjYNbrldgrQChi/G5tn3M8ETT18B326sTzx9BXy7sT7x9BXw7cb6xNNXgG6DFmBwO2hxng8BBBAYcoG4uZOONg1u4/v3vl0Cm2ZpVdljeNrtpEo8JRV7DE+7nVSJp6Rij+Fpt5Mq8ZRU7DE87XZSJZ6Sij2Gp92OSrsAg1u7HZUIIIBAIwXihkQ62ja43X7HxvD4sjO6KPZfuy7MPnphV1wTYLOnUdLn4Km30mTiqVHS5+Cpt9Jk4qlR0ufgqbfSZOKpUdLn4Km30mTiqVHS5+CptyLTR4DBrY8jXRBAAIHGCMTNiHS0bXAbDTz/6pZNnrSq7DE87XZSJZ6Sij2Gp91OqsRTUrHH8LTbSZV4Sir2GJ52O6kST0nFHsPTbkelXYDBrd2OSgQQQKCRAnFDIh1tHNx6f0kZmz1pZdljeNrtpEo8JRV7DE+7nVSJp6Rij+Fpt5Mq8ZRU7DE87XZSJZ6Sij2Gp92OSpsAg1ubG1UIIIBAYwXiZkQ62ji49fySMjZ50qqyx/C020mVeEoq9hiedjupEk9JxR7D024nVeIpqdhjeNrtpEo8JRV7DE+7HZV2AQa3djsqEUAAgUYKxA2JdLRxcBsduF2CtBqGI8bm2fdzwBNPXwHfbqxPPH0FfLuxPvH0FfDtxvrE01eAboMWYHA7aHGeDwEEEBhygbi5k462Dm573S7h6b/+krKZzz5EohJjbJpFFnMQTzOdWIinyGIO4mmmEwvxFFnMQTzNdGIhniKLOYinmU4sxFNkMQfxNNNRWCDA4LYAj1IEEECgiQJxQyIdbR3cxtsl/HJsRdixeWONZZ+T3xzmjK2uxVInbPZSQnnX8czzSmXjmRLKu45nnlcqG8+UUN51PPO8Utl4poTyruOZ55XKxjMllHcdzzwvsssFGNyWG9IBAQQQaJRA3IxIR1sHt9Gi11/dzl2/QaISY2zyRBZzEE8znViIp8hiDuJpphML8RRZzEE8zXRiIZ4iizmIp5lOLMRTZDEH8TTTUVggwOC2AI9SBBBAoIkCcUMiHW0e3Hp9SRmbPWll2WN42u2kSjwlFXsMT7udVImnpGKP4Wm3kyrxlFTsMTztdlIlnpKKPYan3Y5KmwCDW5sbVQgggEBjBeJmRDraPLiNHqVfUsYmT1pV9hiedjupEk9JxR7D024nVeIpqdhjeNrtpEo8JRV7DE+7nVSJp6Rij+Fpt6PSLsDg1m5HJQIIINBIgbghkY62D265XYK0KqY3xubZ1x9PPH0FfLuxPvH0FfDtxvrE01fAtxvrE09fAboNWoDB7aDFeT4EEEBgyAXi5k462j64jbdLeGzZGWHXlodrPNovKWPTXGMrPsGzmLDWAM8aR/EJnsWEtQZ41jiKT/AsJqw1wLPGUXyCZzFhrQGeNY7iEzyLCWlgEGBwa0CjBAEEEGiyQNyQSEfbB7fRpPSvbtnsSSvLHsPTbidV4imp2GN42u2kSjwlFXsMT7udVImnpGKP4Wm3kyrxlFTsMTztdlTaBBjc2tyoQgABBBorEDcj0sHgNoSSLyljkyetKnsMT7udVImnpGKP4Wm3kyrxlFTsMTztdlIlnpKKPYan3U6qxFNSscfwtNtRaRdgcGu3oxIBBBBopEDckEgHg9unVEq+pIzNnrSy7DE87XZSJZ6Sij2Gp91OqsRTUrHH8LTbSZV4Sir2GJ52O6kST0nFHsPTbkelTYDBrc2NKgQQQKCxAnEzIh0Mbp9Ssd4ugU2etKrsMTztdlIlnpKKPYan3U6qxFNSscfwtNtJlXhKKvYYnnY7qRJPScUew9NuR6VdgMGt3Y5KBBBAoJECcUMiHQxun1LpdbuEOed9POxzyiKJroqx2asoXB7g6cJYNcGzonB5gKcLY9UEz4rC5QGeLoxVEzwrCpcHeLowVk3wrChcHuDpwkiTDAEGtxlYpCKAAAJtEIibEelgcDuhsm3tmrDt0jUTgV8/mnnQwWHu+g212OQTNnmTNcof41luOLkDnpM1yh/jWW44uQOekzXKH+NZbji5A56TNcof41luOLkDnpM1yh/jWW5Ih3wBBrf5ZlQggAACjRaIGxLpYHA7odLrr273X7suzD564UTiHo/Y7O0BUniKZyHgHuV47gFSeIpnIeAe5XjuAVJ4imch4B7leO4BUniKZyHgHuV47gFSeIpnISDl2QIMbrPJKEAAAQSaLRA3I9LB4LaukvslZWzy6n6lZ3iWCtbr8ax7lJ7hWSpYr8ez7lF6hmepYL0ez7pH6RmepYL1ejzrHqVneJYKUm8RYHBrUaMGAQQQaLBA3JBIB4PbuorlS8rY7NUNS8/wLBWs1+NZ9yg9w7NUsF6PZ92j9AzPUsF6PZ51j9IzPEsF6/V41j1Kz/AsFaQ+V4DBba4Y+QgggECfBOJg9Pvf/37Yd999w5w5c8K8efP69ExTt42bEelgcFtXyb1dApu8ul/pGZ6lgvV6POsepWd4lgrW6/Gse5Se4VkqWK/Hs+5ReoZnqWC9Hs+6R+kZnqWC1FsEGNxa1KhBAAEE+iDw7ne/O1xyySXjnWfOnBnuuOOOsGDBgj4809Qt44ZEOhjcdqtIt0uY6kvK2Ox1G5ZE8CzR667Fs9ukJIJniV53LZ7dJiURPEv0umvx7DYpieBZotddi2e3SUkEzxI9ai0CDG4tatQggEBrBe6///7w9a9/Pdx9993j/2/r1q3hmc98ZnjWs54VDj/88LB48eLwvOc9z+RzyimnhOv+P/buB+iOqr7/+Gn+ECAkREtjQ6gh9d/gGEQCeegUqVQktoaKyViiOE6xahQKdopNHGkg2JSWUGHMiBpxEKc+VGz8GzoigjVFEehjAHFqqYJWEERAEQiR/OPHefw9m+fee3bP9+x+7t4/+94ZJrtnv+e7977ul5vD1+vutddmc6+77jq3dOnS7LiuHb8YCW00bjtVUn51yyKv06/KCJ5V9Drn4tlpUmUEzyp6nXPx7DSpMoJnFb3OuXh2mlQZwbOKXudcPDtNqozgWUWPuWUFaNyWlWMeAgg0SmDPnj3ugx/8oLvgggvcr3/968L3fswxx7h3vetd7m1ve5vzf7lbNxq3Vqn+igv96nbGsuVu5roNHS+UxV4HSaUBPCvxdUzGs4Ok0gCelfg6JuPZQVJpAM9KfB2T8ewgqTSAZyW+jsl4dpBUGsCzEh+TSwjQuC2BxhQEEGiWwO7du92JJ57ovvnNbya98eOPP9594hOfcC95yUtM82jcmpj6Lsj6kDIWedqPDk88tQLabNQnnloBbTbqE0+tgDYb9YmnVkCbjfrUepLNJkDj1uZEFAIINFjA/9L2ve99bymBGTNmuPPPP9+tXr3aTZs2rTAHjdtCnr49ye0SevfRsHjW2uOJp1ZAm436xFMroM1GfeKpFdBmoz7x1AqQrW4BGrd1i3M9BBAYKIGf/OQn7qUvfanz97Ktsvlf7G7evNk997nPzU1D4zaXpu9PWG6XwKJZ+zHiiadWQJuN+sRTK6DNRn3iqRXQZqM+8dQKaLNRn1pPstkEaNzanIhCAIGGClx44YVu3bp1He9+3rx54/ewPeKII9yUKVPcfffd566//nq3detW52+tENpe8IIXjD98zD/ELLTRuA2pDMbYru/c6p5YdXrHi521adRNXzySjbPYyygkO3hKGLMkeGYUkh08JYxZEjwzCskOnhLGLAmeGYVkB08JY5YEz4xCsoOnhJEkCQI0bhOwCEUAgeYJrFy50l1zzTUtb/zNb36z+9jHPuZmzZrVMu4PHn30UXfJJZe4Sy+91O3atavj/G//9m+7r3zlK+7YY4/tOEfjtoNkoAZiv7plkaf9OPHEUyugzUZ94qkV0GajPvHUCmizUZ94agW02ahPrSfZbAI0bm1ORCGAQEMFjjzySHfXXXdl797/wnbbtm1u//33z8ZCO9///vfdWWed5f7jP/6j4/RBBx3kvvzlL48/8GzySRq3kzUGb9/ykDIWe9rPFU88tQLabNQnnloBbTbqE0+tgDYb9YmnVkCbjfrUepItLkDjNm5EBAIINFRgz549bubMme7pp5/OBK644gr39re/PTuO7fj4s88+uyWHn+MfWubvebts2bIsBY3bjGIgd2IPKWORp/1Y8cRTK6DNRn3iqRXQZqM+8dQKaLNRn3hqBbTZqE+tJ9lsAjRubU5EIYBAAwV27NjhDjzwwJZ3fuutt7olS5a0jMUOxsbG3Bve8AZ3//33t4ROnz7djY6Ouje+8Y3j4zRuW3gG8oDbJdT7sbF41nrjiadWQJuN+sRTK6DNRn3iqRXQZqM+8dQKkK1uARq3dYtzPQQQGCiBgw8+2D3++OPZa/ZN2MWLF2fH1h3/8LLXvva17r//+79bpkydOtVdeeWV7q1vfaujcdtCM5AHebdLmP3sQ8qmzv8998wzzwzk++rHF81/hGg/FTzx1Apos1GfeGoFtNmoTzy1Atps1CeeWgGy9UKAxm0v1LkmAggMjMBLX/pS5+9XO7FdffXV7k1vetPEYdKfv/zlL8dvjXDzzTe3zPMLqo9+9KPu2muvHf9n4uR1113nli5dOnFY25/+9YQ2mo4hldYxf7uEJ9etcbu33dpyYsay5W7mug2OxXMLS+UDPCsTtiTAs4Wj8gGelQlbEuDZwlH5AM/KhC0J8GzhqHyAZ2XClgR4tnBUPsCzMiEJEgVo3CaCEY4AAs0SWLlypbvmmmuyN33mmWe6yy+/PDtO3dm+ffv4bRO+9rWvRafSuI0S9WVA3q9un3Ptf/KLW+EnxqJZiPlsKjzx1Apos1GfeGoFtNmoTzy1Atps1CeeWgGy9UKAxm0v1LkmAggMjIC/B+1b3vKW7PUedNBB4/eq9bdQKLv5h535hvAXv/jFwhQ0bgt5+vZk0UPK9jvmOJq3wk+O/xgRYj6bCk88tQLabNQnnloBbTbqE0+tgDYb9YmnVoBsdQvQuK1bnOshgMBACfjbGxx22GHuqaeeyl73hRde6M4///zsuMzO7t273RlnnOE+/elP506ncZtL0/cnQg8p+8yjT7gzf/RQ37/2QXmB/EeI9pPCE0+tgDYb9YmnVkCbjfrEUyugzUZ94qkVIFsvBGjc9kKdayKAwEAJ/PVf/7X70Ic+lL3mAw44YPy+twsWLMjGyuz4e8aeddZZ4/e3Dc2ncRtSGYwxbpdQz+fEf4xonfHEUyugzUZ94qkV0GajPvHUCmizUZ94agXIVrcAjdu6xbkeAggMnMBDDz3kXvayl7lHHnkke+1r1qxx//RP/5QdV9l53/ve5y6++OKOFDRuO0gGZsDfLuHxVae7vQ/+tOU1TzykrGWQg1IC/EdIKbbcSXjm0pQ6gWcpttxJeObSlDqBZym23El45tKUOoFnKbbcSXjm0pQ6gWcpNiZVFKBxWxGQ6Qgg0AyBm2++2V100UXuV7/6lfP3uT377LPdn/7pn8re/Ac/+EHnG7j+Fgp+84uC733ve+6lL32p7BrWRP7aoc3/QpjNLhD61e19O3e7l3/3x/YkRBYKsHgu5Ek+iWcyWeEEPAt5kk/imUxWOAHPQp7kk3gmkxVOwLOQJ/kknslkhRPwLOThZBcEaNx2AZWUCCCAQBmB++67z23bts3t3bvXvfCFL3SLFi0qk6byHL8YCW00bkMq+WNFDymbvngkfyJnTAIsmk1M5iA8zVSmQDxNTOYgPM1UpkA8TUzmIDzNVKZAPE1M5iA8zVSmQDxNTASJBWjcikFJhwACCAy6gF+QhDYatyGV4rHQQ8q4XUKxWcpZFs8pWvFYPONGKRF4pmjFY/GMG6VE4JmiFY/FM26UEoFnilY8Fs+4UUoEnilaxCoEaNwqFMmBAAIIDJGAX4yENhq3IZXisdDtEqbMm+/mbNlaPJGzUQEWzVGipAA8k7iiwXhGiZIC8EziigbjGSVKCsAziSsajGeUKCkAzySuaDCeUSICuiBA47YLqKREAAEEBlnAL0hCG43bkErxWN7tEmZecLGbccqK4smcjQqweI4SJQXgmcQVDcYzSpQUgGcSVzQYzyhRUgCeSVzRYDyjREkBeCZxRYPxjBIRIBagcSsGJR0CCCAw6AJ+MRLaaNyGVOJjOzZtdDuu2NgSyK9uWzhKHbBoLsWWOwnPXJpSJ/AsxZY7Cc9cmlIn8CzFljsJz1yaUifwLMWWOwnPXJpSJ/AsxcakigI0bisCMh0BBBBQCfiHko2NjbmpU6e6Aw880B1xxBGq1El5/IIktNG4DanEx/J+dTtr06jjIWVxv6IIFs9FOunn8Ew3K5qBZ5FO+jk8082KZuBZpJN+Ds90s6IZeBbppJ/DM92saAaeRTqc64YAjdtuqJITAQQQKCFw6aWXunPPPTebecstt7iRkZHsuK4dvxgJbTRuQyq2MR5SZnNKiWLRnKIVj8UzbpQSgWeKVjwWz7hRSgSeKVrxWDzjRikReKZoxWPxjBulROCZokWsSoDGrUqSPAgggEBFgbVr17r169dnWa677jq3dOnS7LiuHb8gCW00bkMqtjEeUmZzSo1i8ZwqVhyPZ7FP6lk8U8WK4/Es9kk9i2eqWHE8nsU+qWfxTBUrjsez2Cf1LJ6pYsRXFaBxW1WQ+QgggIBIgMatCLIP03C7BP2HwqJZa4onnloBbTbqE0+tgDYb9YmnVkCbjfrEUytAtl4I0LjthTrXRAABBAICNG4DKEM0FLpdAg8pq/YB8x8j1fzaZ+PZLlLtGM9qfu2z8WwXqXaMZzW/9tl4totUO8azml/7bDzbRaod41nNj9npAjRu082YgQACCHRFgMZtV1j7JumCGdPd7YsWdLweHlLWQWIaYNFsYjIH4WmmMgXiaWIyB+FppjIF4mliMgfhaaYyBeJpYjIH4WmmMgXiaWIiSCxA41YMSjoEEECgrACN27JygzNvy0sOc384a/+WFzxj2XI3c92GljEObAIsnm1O1ig8rVK2ODxtTtYoPK1Stjg8bU7WKDytUrY4PG1O1ig8rVK2ODxtTkTpBGjc6izJhAACQyiwatUqNzo6Wss727lzp9u1a1d2rX57OJl/Yf4BZROLFf78rWSPX395s9t+4ZrsM/Y79+3c7V7+3R/j+uxD8agv/v3ie4V/D/ge4HuA7wG+B/ge4Hug378HWhbzHCDQZQEat10GJj0CCAy2wLHHHuvGxsZ68ib6rXHLIrr6Ijrvdgl/9r8PuG8+/hTNW5q3NK/5H4f4HuB7gO8Bvgf4HuB7gO+BAfge6Ml/IHLRRgrQuG3kx86bRgABq8BRRx3l7rzzTmu4NK4fG7fSN9iwZBO/HAg9pIzbJaQXw4Rn+kxmhATwDKmUH8OzvF1oJp4hlfJjeJa3C83EM6RSfgzP8nahmXiGVMqP4VnejpnlBWjclrdjJgIINEDghBNOcDfddFNP3imN256wd/WifrG3c+wW98Sq0zuuw0PKOkiiAyyeo0RJAXgmcUWD8YwSJQXgmcQVDcYzSpQUgGcSVzQYzyhRUgCeSVzRYDyjRASIBWjcikFJhwACwyVw1VVXuTPOOKPlTS1cuNAdf/zxLWOKgxtuuME9+OCDWSoatxnFUOxMXuTxq9vqH+lkz+rZyICntgbwxFMroM1GfeKpFdBmoz7x1Apos1GfWk+y2QRo3NqciEIAgQYLnHTSSe7GG2/MBI488ki3bds2N3Xq1GxMsbN27Vq3fv36LBWN24xiaHYmFntPb/lcx0PKpsyb7+Zs2To077WONzLhWce1mnANPLWfMp54agW02ahPPLUC2mzUJ55aAW026lPrSba4AI3buBERCCDQcIF77rnHLVq0yO3YsSOT2Lhxozv77LOzY8UOjVuFYv/mmLzI2/vA/e6xP3tVx4vldgkdJLkDkz1zgzhhFsDTTGUKxNPEZA7C00xlCsTTxGQOwtNMZQrE08RkDsLTTGUKxNPERJBYgMatGJR0CCAwnAKXXHKJW716dfbm5syZ4+6++243d+7cbKzqDo3bqoL9P3/yYo/bJVT/vCZ7Vs9GBjy1NYAnnloBbTbqE0+tgDYb9YmnVkCbjfrUepItLkDjNm5EBAIIIOD27NnjlixZMn6LhAkOf+/bK6+8cuKw8p80bisT9nWC9kVe3u0SZm8adVMOPayv30s/vLh2z354TYP8GvDUfnp44qkV0GajPvHUCmizUZ94agW02ahPrSfZbAI0bm1ORCGAAALu9ttvH2/e7t69e1zD/8V98803u+OOO06iQ+NWwtjXSSYv9vztEp5ct8bt3nZry2uesWy5m7luQ8sYB2GByZ7hCEZTBPBM0YrH4hk3SonAM0UrHotn3CglAs8UrXgsnnGjlAg8U7TisXjGjYjQCtC41XqSDQEEhlxgzZo1bsOGfU21FStWuM2bN0veNY1bCWPfJgkt8vJ+dctDyuIfY8gzPouIPAE882TKjeNZzi1vFp55MuXG8SznljcLzzyZcuN4lnPLm4Vnnky5cTzLuTGrmgCN22p+zEYAgYYJ+AeUnXbaae62225z/i/ulStXussuu0yiMDY25s477zz36KOPugULFrhNmza5Qw45RJI7JYl/X6HtmWeeCQ0zliDQvtjjIWUJeIHQds9ACEMJAngmYBlC8TQgJYTgmYBlCMXTgJQQgmcCliEUTwNSQgieCViGUDwNSIRIBWjcSjlJhgACCAy+gF+MhDYatyEV+1jeIo+HlNkNJ0fmeU6OYd8ugKfdyhKJp0XJHoOn3coSiadFyR6Dp93KEomnRckeg6fdyhKJp0WJGLUAjVu1KPkQQACBARfwC5LQRuM2pJI2FlrscbuENMPJ0SHPyefZTxPAM80rFo1nTCjtPJ5pXrFoPGNCaefxTPOKReMZE0o7j2eaVywaz5gQ59UCNG7VouRDAAEEBlzAL0ZCG43bkIp9LG+R52+X8Piq093eB3/akoyHlLVwdBzkeXYEMmASwNPEZA7C00xlCsTTxGQOwtNMZQrE08RkDsLTTGUKxNPEZA7C00xFoFCAxq0Qk1QIIIDAMAj4BUloo3EbUkkby1vs8avbNMeJ6DzPifP8mSaAZ5pXLBrPmFDaeTzTvGLReMaE0s7jmeYVi8YzJpR2Hs80r1g0njEhzqsFaNyqRcmHAAIIDLiAX4yENhq3IRX7WNEij4eU2R0nIos8J2L40y6Ap93KEomnRckeg6fdyhKJp0XJHoOn3coSiadFyR6Dp93KEomnRYkYtQCNW7Uo+RBAAIEBF/ALktBG4zakkjZWtNjjIWVplj66yDM9GzPw1NYAnnhqBbTZqE88tQLabNQnnloBbTbqU+tJtrgAjdu4EREIIIBAowT8YiS00bgNqdjHYos8bpdgt/SRMc+0bETjqa0BPPHUCmizUZ94agW02ahPPLUC2mzUp9aTbDYBGrc2J6IQQACBxgj4BUloo3EbUkkbK1rs5d0uYeYFF7sZp6xIu1BDoos8G0IgfZt4Sjn5Hxe0nHjiKRbQpuP7E0+tgDYb9YmnVoBsdQvQuK1bnOshgAACfS7gF3ehjcZtSMU+Zlk079i00e24YmNL0inz5rs5W7a2jHHAL27VNWCpT/U1hzkfntpPF088tQLabNQnnloBbTbqE0+tANl6IUDjthfqXBMBBBDoYwG/wAttNG5DKmljscVz3q9uZ20addMXj6RdrAHRMc8GEEjfIp5STn4hquXEE0+xgDYd3594agW02ahPPLUCZKtbgMZt3eJcDwEEEOhzAb+4C200bkMq9jHropmHlNlMrZ62bEThqa0BPPHUCmizUZ94agW02ahPPLUC2mzUp9aTbDYBGrc2J6IQQACBxgj4BUloo3EbUkkbsyz2eEiZ3dTiac9GJJ7aGsATT62ANhv1iadWQJuN+sRTK6DNRn1qPckWF6BxGzciAgEEEGiUgF+MhDYatyEV+5h1kcftEmymVk9bNqLw1NYAnnhqBbTZqE88tQLabNQnnloBbTbqU+tJNpsAjVubE1EIIIBAYwT8giS00bgNqaSNWRd7odslTDt6xM3++GjaBYc82uo55Ayyt4enjHI8EZ54agW02ahPPLUC2mzUJ55aAW026lPrSba4AI3buBERCCCAQKME/GIktNG4DanYx1IWefzqNu6a4hnPRgSe2hrAE0+tgDYb9YmnVkCbjfrEUyugzUZ9aj3JZhOgcWtzIgoBBBCA/eVYAABAAElEQVRojIBfkIQ2GrchlbSxlMVe6Fe3M5YtdzPXbUi76BBHp3gOMYPsreEpoxxPhCeeWgFtNuoTT62ANhv1iadWQJuN+tR6ki0uQOM2bkQEAggg0CgBvxgJbTRuQyr2sdRFHg8pK7ZN9SzOxlk8tTWAJ55aAW026hNPrYA2G/WJp1ZAm4361HqSzSZA49bmRBQCCCDQGAG/IAltNG5DKmljKYs9bpcQt03xjGcjAk9tDeCJp1ZAm436xFMroM1GfeKpFdBmoz61nmSLC9C4jRsRgQACCDRKwC9GQhuN25CKfazMIo/bJeT7lvHMz8YZPLU1gCeeWgFtNuoTT62ANhv1iadWQJuN+tR6ks0mQOPW5kQUAggg0BgBvyAJbTRuQyppY6mLvV3fudU9ser0jovM2jTqpi8e6Rhv2kCqZ9N8Ut8vnqlixfF4FvuknsUzVaw4Hs9in9SzeKaKFcfjWeyTehbPVLHieDyLfTirF6BxqzclIwIIIDDQAn4xEtpo3IZU7GNlF3n86jZsXNYznI1RPLU1gCeeWgFtNuoTT62ANhv1iadWQJuN+tR6ks0mQOPW5kQUAggg0BgBvyAJbTRuQyppY2UWezykLN+4jGd+Ns7gqa0BPPHUCmizUZ94agW02ahPPLUC2mzUp9aTbHEBGrdxIyIQQACBRgn4xUhoo3EbUrGPlV3k8ZCysHFZz3A2RvHU1gCeeGoFtNmoTzy1Atps1CeeWgFtNupT60k2mwCNW5sTUQgggEBjBPyCJLTRuA2ppI2VXexxu4Swc1nPcDZG8dTWAJ54agW02ahPPLUC2mzUJ55aAW026lPrSba4AI3buBERCCCAQKME/GIktNG4DanYx6os8vJulzD72YeUTTn0MPuLGKLIKp5DxCB7K3jKKMcT4YmnVkCbjfrEUyugzUZ94qkV0GajPrWeZLMJ0Li1ORGFAAIINEbAL0hCG43bkEraWNnFnr9dwpPr1rjd225tueCMZcvdzHUbWsaadFDWs0lGKe8VzxSteCyecaOUCDxTtOKxeMaNUiLwTNGKx+IZN0qJwDNFKx6LZ9yICK0AjVutJ9kQQACBgRfwi5HQRuM2pGIfq7rIy/vV7ZwtW+0vYogiq3oOEYXkreApYcyS4JlRSHbwlDBmSfDMKCQ7eEoYsyR4ZhSSHTwljFkSPDMKdmoUoHFbIzaXQgABBIoE9u7d68bGxtzUqVPdgQce6I444oii8K6d8wuS0EbjNqSSNlZlscdDyjqtq3h2ZmMET20N4ImnVkCbjfrEUyugzUZ94qkV0GajPrWeZIsL0LiNGxGBAAII1CJw6aWXunPPPTe71i233OJGRkay47p2/GIktNG4DanYxxSLPB5Sts9b4bkvG3t4amsATzy1Atps1CeeWgFtNuoTT62ANhv1qfUkm02Axq3NiSgEEECg6wJr165169evz65z3XXXuaVLl2bHde34BUloo3EbUkkbq7rY43YJrd5VPVuzcYSntgbwxFMroM1GfeKpFdBmoz7x1Apos1GfWk+yxQVo3MaNiEAAAQRqEaBxWwtzzy6iWOTl3S6hiQ8pU3j2rBj68MJ4aj8UPPHUCmizUZ94agW02ahPPLUC2mzUp9aTbDYBGrc2J6IQQACBrgvQuO06cc8voFjs8avbfR+jwnNfNvbw1NYAnnhqBbTZqE88tQLabNQnnloBbTbqU+tJtrgAjdu4EREIIIBALQI0bmth7tlFVIu8vF/dzto06qYvrv+eyL0CVXn26vX323Xx1H4ieOKpFdBmoz7x1Apos1GfeGoFtNmoT60n2WwCNG5tTkQhgAACXRegcdt14p5fQLXY4yFlv/koVZ49L4w+eQF4aj8IPPHUCmizUZ94agW02ahPPLUC2mzUp9aTbHEBGrdxIyIQQKDBAqtWrXKjo6O1COzcudPt2rUruxYPJ8sohmJHucjjdgnOKT2HosAqvgk8KwK2TcezDaTiIZ4VAdum49kGUvEQz4qAbdPxbAOpeIhnRcC26Xi2gXBYiwCN21qYuQgCCAyqwLHHHuvGxsZ68vJp3PaEvasXVS328m6XMPOCi92MU1Z09T30U3KVZz+9p16+Fjy1+njiqRXQZqM+8dQKaLNRn3hqBbTZqE+tJ9niAjRu40ZEIIBAgwWOOuood+edd/ZEgMZtT9i7dlH1Im/Hpo1uxxUbW17vlHnz3ZwtW1vGhvVA7TmsTtb3hadVyhaHp83JGoWnVcoWh6fNyRqFp1XKFoenzckahadVyhaHp82JKK0AjVutJ9kQQGDIBE444QR300039eRd0bjtCXtXL6pc7OX96rZJDylTenb1gx+Q5HhqPyg88dQKaLNRn3hqBbTZqE88tQLabNSn1pNscQEat3EjIhBAoMECV111lTvjjDNaBBYuXOiOP/74ljHFwQ033OAefPDBLBWN24xiKHa6schr8kPKuuE5FIVW8k3gWRIuZxqeOTAlh/EsCZczDc8cmJLDeJaEy5mGZw5MyWE8S8LlTMMzB4bhrgrQuO0qL8kRQGAYBE466SR34403Zm/lyCOPdNu2bXNTp07NxhQ7a9eudevXr89S0bjNKIZmR73Ya/pDytSeQ1NoJd8IniXhcqbhmQNTchjPknA50/DMgSk5jGdJuJxpeObAlBzGsyRczjQ8c2AY7poAjduu0ZIYAQSGReCee+5xixYtcjt27Mje0saNG93ZZ5+dHSt2aNwqFPs3RzcWeU2+XUI3PPu3err/yvDUGuOJp1ZAm436xFMroM1GfeKpFdBmoz61nmSzCdC4tTkRhQACDRe45JJL3OrVqzOFOXPmuLvvvtvNnTs3G6u6Q+O2qmD/z+/GYi90u4RpR4+42R8f7X+Qiq+wG54VX9JAT8dT+/HhiadWQJuN+sRTK6DNRn3iqRXQZqM+tZ5kiwvQuI0bEYEAAgi4PXv2uCVLlozfImGCw9/79sorr5w4rPwnjdvKhH2doFuLvKb+6rZbnn1dRF18cXhqcfHEUyugzUZ94qkV0GajPvHUCmizUZ9aT7LZBGjc2pyIQgABBNztt98+3rzdvXv3uIb/i/vmm292xx13nESHxq2Esa+TdGuxF/rV7Yxly93MdRv62qPqi+uWZ9XXNajz8dR+cnjiqRXQZqM+8dQKaLNRn3hqBbTZqE+tJ9niAjRu40ZEIIAAApnAmjVr3IYN+5phK1ascJs3b87OV9mhcVtFr//ndnOR18SHlHXTs/+rSf8K8dSa4omnVkCbjfrEUyugzUZ94qkV0GajPrWeZLMJ0Li1ORGFAAIIjAv4B5Sddtpp7rbbbnP+L+6VK1e6yy67TKIzNjbmzjvvPPfoo4+6BQsWuE2bNrlDDjlEkjsliX9foe2ZZ54JDTOWINCtxR63S0j4EAjNFehWfeZecMhP4Kn9gPHEUyugzUZ94qkV0GajPvHUCpCtbgEat3WLcz0EEECgzwX84i600bgNqdjHur1obtrtErrtaf9khyMST+3niCeeWgFtNuoTT62ANhv1iadWQJuN+tR6ks0mQOPW5kQUAggg0BgBvyAJbTRuQyppY91c7O36zq3uiVWnd7ygWZtG3fTFIx3jwzDQTc9h8El9D3imihXH41nsk3oWz1Sx4ng8i31Sz+KZKlYcj2exT+pZPFPFiuPxLPbhrF6Axq3elIwIIIDAQAv4xUhoo3EbUrGP1bHIa9KvbuvwtH+6gx+Jp/YzxBNPrYA2G/WJp1ZAm436xFMroM1GfWo9yWYToHFrcyIKAQQQaIyAX5CENhq3IZW0sW4v9pr2kLJue6Z9uoMfjaf2M8QTT62ANhv1iadWQJuN+sRTK6DNRn1qPckWF6BxGzciAgEEEGiUgF+MhDYatyEV+1gdi7wmPaSsDk/7pzv4kXhqP0M88dQKaLNRn3hqBbTZqE88tQLabNSn1pNsNgEatzYnohBAAIGuC+zdu9eNjY25qVOnugMPPNAdccQRXb9m6AJ+QRLaaNyGVNLG6ljscbuEtM+E6H0CddTnvqsN/x6e2s8YTzy1Atps1CeeWgFtNuoTT60A2eoWoHFbtzjXQwABBHIELr30UnfuuedmZ2+55RY3MlL/Q6X84i600bgNqdjH6lo0590uYfazDymbcuhh9hfc55F1efY5g+zl4SmjHE+EJ55aAW026hNPrYA2G/WJp1ZAm4361HqSzSZA49bmRBQCCCDQdYG1a9e69evXZ9e57rrr3NKlS7Pjunb8giS00bgNqaSN1bHY87dLeHLdGrd7260tL27GsuVu5roNLWODflCH56Abpbx+PFO04rF4xo1SIvBM0YrH4hk3SonAM0UrHotn3CglAs8UrXgsnnEjIrQCNG61nmRDAAEESgvQuC1NNxAT61zk5f3qds6WrQNhZXmRdXpaXs+gx+Cp/QTxxFMroM1GfeKpFdBmoz7x1Apos1GfWk+y2QRo3NqciEIAAQS6LkDjtuvEPb9AXYu9pjykrC7PnhdOTS8ATy00nnhqBbTZqE88tQLabNQnnloBbTbqU+tJtrgAjdu4EREIIIBALQI0bmth7tlF6l7kDftDyur27Fnh1HRhPLXQeOKpFdBmoz7x1Apos1GfeGoFtNmoT60n2WwCNG5tTkQhgAACXRegcdt14p5foM7FHrdL6PnHPXAvoM76HDicEi8YzxJoBVPwLMApcQrPEmgFU/AswClxCs8SaAVT8CzAKXEKzxJoTKkkQOO2Eh+TEUBg2AVWrVrlRkdHa3mbO3fudLt27cqu1W8PJ/MvzD+gbGKxwp+/1dceC2ZMd7cvWpDV08TOZx59wp35o4f4HJ99CB/1zL/PfI/x7wHfA3wP8D3A9wDfA3wPpH4PTKyr+ROBOgRo3NahzDUQQGBgBY499lg3NjbWk9ffb41bFrWDt6h98yGz3YcPn9tSv1PmzXfPufY/aVryP0LQvKd5z/cA3wN8D/A9wPcA3wN8D5T8HmhZYHOAQBcFaNx2EZfUCCAw+AJHHXWUu/POO3vyRvqxcdsTiCG56MT/kl/n2xnmh5T1wrPOz67ua+GpFccTT62ANhv1iadWQJuN+sRTK6DNRn1qPclmE6Bxa3MiCgEEGipwwgknuJtuuqkn757GbU/Yu3rRXiz2hvkhZb3w7GqB9Dg5ntoPAE88tQLabNQnnloBbTbqE0+tgDYb9an1JFtcgMZt3IgIBBBosMBVV13lzjjjjBaBhQsXuuOPP75lTHFwww03uAcffDBLReM2oxiKnV4t8ob1IWW98hyKYgy8CTwDKBWG8KyAF5iKZwClwhCeFfACU/EMoFQYwrMCXmAqngGUCkN4VsBjamkBGrel6ZiIAAJNETjppJPcjTfemL3dI4880m3bts1NnTo1G1PsrF271q1fvz5LReM2oxianV4s9vJulzDzgovdjFNWDLRtLzwHGizy4vGMACWexjMRLBKOZwQo8TSeiWCRcDwjQImn8UwEi4TjGQFKPI1nIhjhlQVo3FYmJAECCAy7wD333OMWLVrkduzYkb3VjRs3urPPPjs7VuzQuFUo9m+OXi7ydmza6HZcsbEFxz+kbM6WrS1jg3TQS89BcrK+VjytUrY4PG1O1ig8rVK2ODxtTtYoPK1Stjg8bU7WKDytUrY4PG1ORGkFaNxqPcmGAAJDKnDJJZe41atXZ+9uzpw57u6773Zz587Nxqru0LitKtj/83u12Mv71e2sTaNu+uKR/ofLeYW98sx5OQM/jKf2I8QTT62ANhv1iadWQJuN+sRTK6DNRn1qPckWF6BxGzciAgEEEHB79uxxS5YsGb9FwgSHv/ftlVdeOXFY+U8at5UJ+zpBrxd5w/aQsl579nWxlXhxeJZAK5iCZwFOiVN4lkArmIJnAU6JU3iWQCuYgmcBTolTeJZAK5iCZwEOp7omQOO2a7QkRgCBYRO4/fbbx5u3u3fvHn9r/i/um2++2R133HGSt0rjVsLY10l6udgbxoeU9dKzrwut5IvDsyRczjQ8c2BKDuNZEi5nGp45MCWH8SwJlzMNzxyYksN4loTLmYZnDgzDXROgcds1WhIjgMAwCqxZs8Zt2LAhe2srVqxwmzdvzo6r7NC4raLX/3N7vcgbttsl9Nqz/ysu7RXimeYVi8YzJpR2Hs80r1g0njGhtPN4pnnFovGMCaWdxzPNKxaNZ0yI890QoHHbDVVyIoDA0Ar4B5Sddtpp7rbbbnP+L+6VK1e6yy67TPJ+x8bG3HnnneceffRRt2DBArdp0yZ3yCGHSHKnJPHvK7Q988wzoWHGEgR6vdgL3S5h2tEjbvbHRxPeRf+E9tqzfyQ0rwRPjeNEFjwnJDR/4qlxnMiC54SE5k88NY4TWfCckND8iafGcSILnhMS/FmXAI3buqS5DgIIIDAgAn4xEtpo3IZU7GP9sMgbpl/d9oOn/dPv/0g8tZ8RnnhqBbTZqE88tQLabNQnnloBbTbqU+tJNpsAjVubE1EIIIBAYwT8giS00bgNqaSN9cNiL/Sr2xnLlruZ6/bdAiTtXfUuuh88e/fu9VfGU2uKJ55aAW026hNPrYA2G/WJp1ZAm4361HqSLS5A4zZuRAQCCCDQKAG/GAltNG5DKvaxflnkDctDyvrF014B/R2Jp/bzwRNPrYA2G/WJp1ZAm436xFMroM1GfWo9yWYToHFrcyIKAQQQaIyAX5CENhq3IZW0sX5Y7HG7hLTPrEnR/VCfw+SNp/bTxBNPrYA2G/WJp1ZAm436xFMrQLa6BWjc1i3O9RBAAIE+F/CLu9BG4zakYh/rp0XzMNwuoZ887VXQv5F4aj8bPPHUCmizUZ94agW02ahPPLUC2mzUp9aTbDYBGrc2J6IQQACBxgj4BUloo3EbUkkb65fFXuh2Cf6dzNo06qYvHkl7Uz2M7hfPHhJIL42nlNPhiadWQJuN+sRTK6DNRn3iqRXQZqM+tZ5kiwvQuI0bEYEAAgg0SsAvRkIbjduQin2s3xZ5g/6r237ztFdCf0biqf1c8MRTK6DNRn3iqRXQZqM+8dQKaLNRn1pPstkEaNzanIhCAAEEGiPgFyShjcZtSCVtrJ8We6Ff3U6ZN9/N2bI17U31MLqfPHvIILs0njLK8UR44qkV0GajPvHUCmizUZ94agW02ahPrSfZ4gI0buNGRCCAAAKNEvCLkdBG4zakYh/rt0XeoD+krN887ZXQn5F4aj8XPPHUCmizUZ94agW02ahPPLUC2mzUp9aTbDYBGrc2J6IQQACBxgj4BUloo3EbUkkb67fFHrdLSPv8hj263+pz0L3x1H6CeOKpFdBmoz7x1Apos1GfeGoFyFa3AI3busW5HgIIINDnAn5xF9po3IZU7GP9uGjOu13C7GcfUjbl0MPsb64Hkf3o2QMG2SXxlFGOJ8ITT62ANhv1iadWQJuN+sRTK6DNRn1qPclmE6Bxa3MiCgEEEGiMgF+QhDYatyGVtLF+W+z52yU8uW6N273t1pY3MmPZcjdz3YaWsX486DfPfjRKeU14pmjFY/GMG6VE4JmiFY/FM26UEoFnilY8Fs+4UUoEnila8Vg840ZEaAVo3Go9yYYAAggMvIBfjIQ2GrchFftYvy7y8n512+8PKetXT3tF9FckntrPA088tQLabNQnnloBbTbqE0+tgDYb9an1JJtNgMatzYkoBBBAoDECfkES2mjchlTSxvpxsTfIDynrR8+0iuivaDy1nweeeGoFtNmoTzy1Atps1CeeWgFtNupT60m2uACN27gREQgggECjBPxiJLTRuA2p2Mf6eZE3iA8p62dPe1X0TySe2s8CTzy1Atps1CeeWgFtNuoTT62ANhv1qfUkm02Axq3NiSgEEECgMQJ+QRLaaNyGVNLG+nWxx+0S0j7HYY3u1/ocVG88tZ8cnnhqBbTZqE88tQLabNQnnloBstUtQOO2bnGuhwACCPS5gF/chTYatyEV+1g/L5rzbpdwwDvOcQesOsf+JmuM7GfPGhlkl8JTRjmeCE88tQLabNQnnloBbTbqE0+tgDYb9an1JJtNgMatzYkoBBBAoDECfkES2mjchlTSxvp5sTeIv7rtZ8+0yuiPaDy1nwOeeGoFtNmoTzy1Atps1CeeWgFtNupT60m2uACN27gREQgggECjBPxiJLTRuA2p2Mf6fZGX96vbWZtG3fTFI/Y3WlNkv3vWxCC7DJ4yyvFEeOKpFdBmoz7x1Apos1GfeGoFtNmoT60n2WwCNG5tTkQhgAACjRHwC5LQRuM2pJI21u+LvUF7SFm/e6ZVR++j8dR+BnjiqRXQZqM+8dQKaLNRn3hqBbTZqE+tJ9niAjRu40ZEIIAAAo0S8IuR0EbjNqRiHxuERd4g3S5hEDzt1dH7SDy1nwGeeGoFtNmoTzy1Atps1CeeWgFtNupT60k2mwCNW5sTUQgggEBjBPyCJLTRuA2ppI31+2Iv73YJMy+42M04ZUXam60hut89ayCQXgJPKafDE0+tgDYb9YmnVkCbjfrEUyugzUZ9aj3JFhegcRs3IgIBBBBolIBfjIQ2GrchFfvYoCzydmza6HZcsbHljU2ZN9/N2bK1ZazXB4Pi2Wsn6/XxtErZ4vC0OVmj8LRK2eLwtDlZo/C0Stni8LQ5WaPwtErZ4vC0ORGlFaBxq/UkGwIIIDDwAn5BEtpo3IZU0sYGYbGX96vbfnxI2SB4plVIb6Px1PrjiadWQJuN+sRTK6DNRn3iqRXQZqM+tZ5kiwvQuI0bEYEAAgg0SsAvRkIbjduQin1skBZ5g/CQskHytFdJ7yLx1NrjiadWQJuN+sRTK6DNRn3iqRXQZqM+tZ5kswnQuLU5EYUAAgg0RsAvSEIbjduQStrYoCz2BuUhZYPimVYlvYvGU2uPJ55aAW026hNPrYA2G/WJp1ZAm4361HqSLS5A4zZuRAQCCCDQKAG/GAltNG5DKvaxQVrkDcLtEgbJ014lvYvEU2uPJ55aAW026hNPrYA2G/WJp1ZAm4361HqSzSZA49bmRBQCCCDQGAG/IAltNG5DKmljg7TYC90uYdrRI272x0fT3nQXowfJs4sMstR4yijHE+GJp1ZAm436xFMroM1GfeKpFdBmoz61nmSLC9C4jRsRgQACCDRKwC9GQhuN25CKfWzQFnn9/qvbQfO0V0pvIvHUuuOJp1ZAm436xFMroM1GfeKpFdBmoz61nmSzCdC4tTkRhQACCDRGwC9IQhuN25BK2tigLfZCv7qdsWy5m7luQ9ob71L0oHl2iUGWFk8Z5XgiPPHUCmizUZ94agW02ahPPLUC2mzUp9aTbHEBGrdxIyIQQACBRgn4xUhoo3EbUrGPDeIir58fUjaInvZqqT8ST605nnhqBbTZqE88tQLabNQnnloBbTbqU+tJNpsAjVubE1EIIIBAYwT8giS00bgNqaSNDdpij9slpH2+gx49aPXZ7954aj8hPPHUCmizUZ94agW02ahPPLUCZKtbgMZt3eJcDwEEEOhzAb+4C200bkMq9rFBXTT36+0SBtXTXjH1RuKp9cYTT62ANhv1iadWQJuN+sRTK6DNRn1qPclmE6Bxa3MiCgEEEGiMgF+QhDYatyGVtLFBXOyFbpfg3/WsTaNu+uKRNABx9CB6igmk6fCUcjo88dQKaLNRn3hqBbTZqE88tQLabNSn1pNscQEat3EjIhBAAIFGCfjFSGijcRtSsY8N8iKvH391O8ie9qqpLxJPrTWeeGoFtNmoTzy1Atps1CeeWgFtNupT60k2mwCNW5sTUQgggEBjBPyCJLTRuA2ppI0N6mIv9KvbKfPmuzlbtqYBiKMH1VPMIEuHp4xyPBGeeGoFtNmoTzy1Atps1CeeWgFtNupT60m2uACN27gREQgggECjBPxiJLTRuA2p2McGeZHXjw8pG2RPe9XUF4mn1hpPPLUC2mzUJ55aAW026hNPrYA2G/Wp9SSbTYDGrc2JKAQQQKAxAn5BEtpo3IZU0sYGebHH7RLSPutBjB7k+uxHbzy1nwqeeGoFtNmoTzy1Atps1CeeWgGy1S1A47Zuca6HAAJDK/DUU0+5Rx991O3YsWP8n5kzZ7pf/OIX7rnPfa6bN2+e88eDsPnFXWijcRtSsY8N+qI573YJs599SNmUQw+zQ4giB91TxCBLg6eMcjwRnnhqBbTZqE88tQLabNQnnloBbTbqU+tJNpsAjVubE1EIIIBAi8ADDzzgbrzxxvF/vve977n/+7//c4888khLTPvBQQcdNN7A/d3f/V13+OGHuz/+4z92J598sjv00EPbQ3t67BckoY3GbUglbWyQF3v+dglPrlvjdm+7teVNz1i23M1ct6FlrK6DQfasyyjlOnimaMVj8YwbpUTgmaIVj8UzbpQSgWeKVjwWz7hRSgSeKVrxWDzjRkRoBWjcaj3JhgACQy7wta99zV100UXuG9/4huydnnjiie68885zr371q2U5qyTyi5HQRuM2pGIfG4ZFXt6vbnvxkLJh8LRXT/cj8dQa44mnVkCbjfrEUyugzUZ94qkV0GajPrWeZLMJ0Li1ORGFAAINF/C3P3jHO97hRkdHuyaxdOlSd/XVV4/fWqFrFzEk9guS0EbjNqSSNjboi71+e0jZoHumVU/3o/HUGuOJp1ZAm436xFMroM1GfeKpFdBmoz61nmSLC9C4jRsRgQACDRfwTdsTTjjBjY2NdV1i4cKF7qtf/ap70Yte1PVr5V3AL0ZCG43bkIp9bFgWef3ykLJh8bRXUHcj8dT64omnVkCbjfrEUyugzUZ94qkV0GajPrWeZLMJ0Li1ORGFAAINFvirv/ord/nll+cK+L/A58+f717ykpe45z//+eMPIfMPIps6darbvXu3mz59uvv1r3/tHn74YXfvvfe6e+65xz344IO5+RYtWuRuu+02t//+++fGdPOEfz+hjcZtSCVtbBgWe9wuIe0zH6ToYajPfvLGU/tp4ImnVkCbjfrEUyugzUZ94qkVIFvdAjRu6xbnegggMFAC//M//+OOOOKIjtfsG7OnnnqqW7lypfP3qPXHKZtv4H7pS19y//Iv/+Juv/32jqnvfe973SWXXNIxXseAX9yFNhq3IRX72LAsmvNul3DAO85xB6w6xw5SMXJYPCsyyKbjKaMcT4QnnloBbTbqE0+tgDYb9YmnVkCbjfrUepLNJkDj1uZEFAIINFTg/PPPd3//93/f8u7/4A/+wP3rv/6rW7BgQct4mYO9e/eO/5r3/e9/v3vyySezFM95znPGf5U7Y8aMbKyuHb8gCW00bkMqaWPDstjrl1/dDotnWhV1LxpPrS2eeGoFtNmoTzy1Atps1CeeWgFtNupT60m2uACN27gREQgg0GCBxYsXu23btmUCL3/5y8fvdTtt2rRsTLHzb//2b+7P//zPW1J97nOfc8uXL28Zq+PAL0ZCG43bkIp9bJgWeXm/up21adRNXzxiR6kQOUyeFRhkU/GUUY4nwhNPrYA2G/WJp1ZAm436xFMroM1GfWo9yWYToHFrcyIKAQQaKvC85z3P/fznP8/e/de//vXxWyNkA8KdN77xjW7z5s1ZxrVr17oPfOAD2XFdO35BEtpo3IZU0saGabHXDw8pGybPtErqTjSeWlc88dQKaLNRn3hqBbTZqE88tQLabNSn1pNscQEat3EjIhBAoKECe/bscfvtt5/ztzPwm3/I2I4dO8YfOtYNkiuuuMK9853vzFL/5V/+pfvEJz6RHde14xcjoY3GbUjFPjZsi7xe3y5h2DztldSdSDy1rnjiqRXQZqM+8dQKaLNRn3hqBbTZqE+tJ9lsAjRubU5EIYBAAwWeeuqploeOzZ8/391///1dk7jxxhvdSSedlOV/3ete56699trsuK4dvyAJbTRuQyppY8O02Mu7XcLMCy52M05ZkQZTMnqYPEsSSKfhKeV0eOKpFdBmoz7x1Apos1GfeGoFtNmoT60n2eICNG7jRkQggECDBWbNmpU9NMw/KMz/4tb/Zd2N7aMf/ag788wzs9Svf/3r3Re/+MXsuK6dvPdH47baJzCMi7wdmza6HVdsbIGZMm++m7Nla8tYNw6G0bMbTtaceFqlbHF42pysUXhapWxxeNqcrFF4WqVscXjanKxReFqlbHF42pyI0grQuNV6kg0BBIZM4CUveYn73//93+xdfeUrX3Gvfe1rs2Plzumnn+6uvvrqLOW73vUu55u5dW9+QRLaaNyGVNLGhm2xl/er27oeUjZsnmnVpI/GU2uKJ55aAW026hNPrYA2G/WJp1ZAm4361HqSLS5A4zZuRAQCCDRYYPny5e4LX/hCJvDyl7/cXX/99W7u3LnZmGLnxz/+sXvFK17hHnvssSydfzCZf0BZ3ZtfjIQ2GrchFfvYsC7yevWQsmH1tFeUNhJPPLUC2mzUJ55aAW026hNPrYA2G/WJp1aAbL0QoHHbC3WuiQACAyPw+c9/3q1Y0Xq/zkMPPdR95jOfca985Ssl7+OOO+5wK1eudHfffXdLvltvvdUtWbKkZayOA7/AC200bkMqaWPDuHju5UPKhtEzraK00XjiqRXQZqM+8dQKaLNRn3hqBbTZqE88tQJkq1uAxm3d4lwPAQQGSmDnzp1u4cKF7oEHHmh53VOnTnWrVq0av23CCSec4A4++OCW87GDX//61+5b3/qW++QnP+k++9nPul27drVMecELXuB++MMftozVdeAXd6GNxm1IxT42rIvmXt0uYVg97RWljcQTT62ANhv1iadWQJuN+sRTK6DNRn3iqRUgWy8EaNz2Qp1rIoDAQAl8/etfd695zWvc3r17g697ypQp7uijj3b+NgqzZ8/O/vEPNvPNzqeffto99dRT7qGHHhpvAP/gBz9wd911V0ezdnJy/0vfN7zhDZOHatv3C7zQRuM2pJI2NqyL59DtEqYdPeJmf3w0DSgxelg9Exlk4XjKKMcT4YmnVkCbjfrEUyugzUZ94qkV0GajPrWeZIsL0LiNGxGBAAIIuMsuu8yde+65443YbnOceeaZ7vLLL+/2ZXLz+8VIaKNxG1Kxjw3zIq8Xv7odZk97Veki8dRZ+kx44qkV0GajPvHUCmizUZ94agW02ahPrSfZbAI0bm1ORCGAAALu3//9391b3vKWlgeIKVn8L3fXr1/v3ve+943/R78yd0ouvyAJbTRuQyppY8O82Av96nbGsuVu5roNaUgJ0cPsmcAgC8VTRjmeCE88tQLabNQnnloBbTbqE0+tgDYb9an1JFtcgMZt3IgIBBBAIBP45S9/6TZu3Dj+zy9+8YtsvMqO/8v/1FNPde9///vdMcccUyWVZK5/PXmbb95OLFb487fGf4GNw28c3nzIbPfhw+e2lM6UefPdc679T5z494bvjWe/V/n+5O8P/r7g3wO+B/ge4HtgOL4HWha8HCDQZQEat10GJj0CCAyngL9v7U033eSuv/569+1vf9s9+OCD7uc//7l74oknom94//33dwsWLHAjIyPu1a9+9fg/8+fPj86rK8AvKEMb/7HBf2wU/cfGnp/e5x77s1d1lM6sTaNuv2OOo2lF85bmLc1bvgf4HuB7gO8Bvgf4Hhia74GORS8DCHRJgMZtl2BJiwACzRTYsWPHeAPXP4js4YcfHn+g2QEHHOD8PwceeKA79NBD3dy5c8cXLP0qVNS47dfXPAiva6LpOQivtexrrPN2CU3wLPs5lJmHZxm1/Dl45tuUOYNnGbX8OXjm25Q5g2cZtfw5eObblDmDZxm1/Dl45ttwpnsCNG67Z0tmBBBAYCAF/IIktPlf3LJVExj2xd7TWz7ntl+4pgPJ/+p2+uKRjvGqA8PuWdUndT6eqWLF8XgW+6SexTNVrDgez2Kf1LN4pooVx+NZ7JN6Fs9UseJ4PIt9OKsXoHGrNyUjAgggMNACfjES2mjchlTsY01Z5NX1q9umeNorrFokntX82mfj2S5S7RjPan7ts/FsF6l2jGc1v/bZeLaLVDvGs5pf+2w820U4rkOAxm0dylwDAQQQGCABvyAJbTRuQyppY01Y7IV+desfUjZny9Y0LEN0EzwNDLIQPGWU44nwxFMroM1GfeKpFdBmoz7x1Apos1GfWk+yxQVo3MaNiEAAAQRqEdi7d68bGxtzU6dOHb8f7hFHHFHLddsv4hcjoY3GbUjFPtaURd7eB+7PfUiZ8nYJTfG0V1i1SDyr+bXPxrNdpNoxntX82mfj2S5S7RjPan7ts/FsF6l2jGc1v/bZeLaLcFyHAI3bOpS5BgIIIGAQuPTSS925556bRd5yyy1uZER/X9DsAjk7fkES2mjchlTSxpqy2ON2CWl10S/RTanPurzx1ErjiadWQJuN+sRTK6DNRn3iqRUgW90CNG7rFud6CCCAQI7A2rVr3fr167Oz1113nVu6dGl2XNeOX9yFNhq3IRX7WJMWzXm3S5j97EPKphx6mB2tILJJngUMslN4yijHE+GJp1ZAm436xFMroM1GfeKpFdBmoz61nmSzCdC4tTkRhQACCHRdgMZt14l7foGmLPb87RKeXLfG7d52a4v5jGXL3cx1G1rGqhw0xbOKUcpcPFO04rF4xo1SIvBM0YrH4hk3SonAM0UrHotn3CglAs8UrXgsnnEjIrQCNG61nmRDAAEESgvQuC1NNxATm7bIy/vVreohZU3z7HaR46kVxhNPrYA2G/WJp1ZAm436xFMroM1GfWo9yWYToHFrcyIKAQQQ6LoAjduuE/f8Ak1a7NXxkLImedZRvHhqlfHEUyugzUZ94qkV0GajPvHUCmizUZ9aT7LFBWjcxo2IQAABBGoRoHFbC3PPLtLERV43H1LWRM9uFi+eWl088dQKaLNRn3hqBbTZqE88tQLabNSn1pNsNgEatzYnohBAoKECq1atcqOjo7W8+507d7pdu3Zl1+LhZBnF0Ow0bbHH7RIGq3SbVp/d/nTw1ArjiadWQJuN+sRTK6DNRn3iqRUgW90CNG7rFud6CCAwUALHHnusGxsb68lrpnHbE/auXbSJi+a82yUc8I5z3AGrzqlk3UTPSmCRyXhGgBJP45kIFgnHMwKUeBrPRLBIOJ4RoMTTeCaCRcLxjAAlnsYzEYxwiQCNWwkjSRBAYFgFjjrqKHfnnXf25O3RuO0Je1cv2sTFXjd/ddtEz24WKJ5aXTzx1Apos1GfeGoFtNmoTzy1Atps1KfWk2xxARq3cSMiEECgwQInnHCCu+mmm3oiQOO2J+xdu2hTF3l5v7qdtWnUTV88Utq7qZ6lwSIT8YwAJZ7GMxEsEo5nBCjxNJ6JYJFwPCNAiafxTASLhOMZAUo8jWciGOESARq3EkaSIIDAsApcddVV7owzzmh5ewsXLnTHH398y5ji4IYbbnAPPvhglorGbUYxNDtNXex16yFlTfXs1r8QeGpl8cRTK6DNRn3iqRXQZqM+8dQKaLNRn1pPssUFaNzGjYhAAIGGC5x00knuxhtvzBSOPPJIt23bNjd16tRsTLGzdu1at379+iwVjduMYih2mrzI68btEprs2Y1/IfDUquKJp1ZAm436xFMroM1GfeKpFdBmoz61nmSzCdC4tTkRhQACDRa455573KJFi9yOHTsyhY0bN7qzzz47O1bs0LhVKPZ3jqYu9vJulzDzgovdjFNWlP7QmupZGiwyEc8IUOJpPBPBIuF4RoAST+OZCBYJxzMClHgaz0SwSDieEaDE03gmghFeWYDGbWVCEiCAQBMELrnkErd69ersrc6ZM8fdfffdbu7cudlY1R0at1UF+3t+0xd529etdk9f+/mWD2nKvPluzpatLWPWg6Z7Wp2scXhapWxxeNqcrFF4WqVscXjanKxReFqlbHF42pysUXhapWxxeNqciNIK0LjVepINAQSGVGDPnj1uyZIl47dImHiL/t63V1555cRh5T9p3FYm7PsETV7s5f3qtspDyprs2Y1ix1OriieeWgFtNuoTT62ANhv1iadWQJuN+tR6ki0uQOM2bkQEAgggMC5w++23jzdvd+/ePX7s/9K++eab3XHHHScRonErYezbJCzynFM+pAxPbanjiadWQJuN+sRTK6DNRn3iqRXQZqM+8dQKkK0XAjRue6HONRFAYGAF1qxZ4zZs2JC9/hUrVrjNmzdnx1V2aNxW0RuMuU1fPKsfUtZ0T3XV46kVxRNPrYA2G/WJp1ZAm436xFMroM1GfWo9yRYXoHEbNyICAQQQyAT8A8pOO+00d9tttzn/l/bKlSvdZZddlp2vsjM2NubOO+889+ijj7oFCxa4TZs2uUMOOaRKylJz/fsKbc8880xomDGjAIs855S3S8DTWHjGMDyNUMYwPI1QxjA8jVDGMDyNUMYwPI1QxjA8jVDGMDyNUMYwPI1QhEkFaNxKOUmGAAIIDL6AX5CENhq3IZW0MRZ74dslTDt6xM3++Gga5rPReCaTFU7As5An+SSeyWSFE/As5Ek+iWcyWeEEPAt5kk/imUxWOAHPQp7kk3gmkzGhogCN24qATEcAAQSGTcAvRkIbjduQin2MRd5vrFS/usXTXnuWSDwtSvYYPO1Wlkg8LUr2GDztVpZIPC1K9hg87VaWSDwtSvYYPO1WROoEaNzqLMmEAAIIDIWAX5CENhq3IZW0MRZ7v/FSPaQMz7T6i0XjGRNKO49nmlcsGs+YUNp5PNO8YtF4xoTSzuOZ5hWLxjMmlHYezzQvoqsL0LitbkgGBBBAYKgE/GIktNG4DanYx1jk7bNSPKQMz32eij08FYr7cuC5z0Kxh6dCcV8OPPdZKPbwVCjuy4HnPgvFHp4KxX058NxnwV59AjRu67PmSggggMBACPgFSWijcRtSSRtjsfcbL26XkFY3dUVTn1ppPPHUCmizUZ94agW02ahPPLUC2mzUp9aTbHEBGrdxIyIQQACBRgn4xUhoo3EbUrGPschrtap6uwQ8Wz2rHuFZVbB1Pp6tHlWP8Kwq2Dofz1aPqkd4VhVsnY9nq0fVIzyrCrbOx7PVg6N6BGjc1uPMVRBAAIGBEfALktBG4zakkjbGYm+fV97tEmau2+CmLx7ZF1iwh2cBTolTeJZAK5iCZwFOiVN4lkArmIJnAU6JU3iWQCuYgmcBTolTeJZAK5iCZwEOp7oiQOO2K6wkRQABBAZXwC9GQhuN25CKfYxFXqdVlV/d4tnpWWUEzyp6nXPx7DSpMoJnFb3OuXh2mlQZwbOKXudcPDtNqozgWUWvcy6enSaMdF+Axm33jbkCAgggMFACfkES2mjchlTSxljstXrl/ep2zpatrYE5R3jmwJQcxrMkXM40PHNgSg7jWRIuZxqeOTAlh/EsCZczDc8cmJLDeJaEy5mGZw4Mw10ToHHbNVoSI4AAAoMp4BcjoY3GbUjFPsYir9OqykPK8Oz0rDKCZxW9zrl4dppUGcGzil7nXDw7TaqM4FlFr3Munp0mVUbwrKLXORfPThNGui9A47b7xlwBAQQQGCgBvyAJbTRuQyppYyz2Or24XUKnSa9GqE+tPJ54agW02ahPPLUC2mzUJ55aAW026lPrSba4AI3buBERCCCAQKME/GIktNG4DanYx1jkha3ybpcwe9Oom3LoYeFJz47imUtT6gSepdhyJ+GZS1PqBJ6l2HIn4ZlLU+oEnqXYcifhmUtT6gSepdhyJ+GZS8OJLgrQuO0iLqkRQACBQRTwC5LQRuM2pJI2xmKv08vfLuHJdWvc7m23tpycsWy5m7luQ8tY+wGe7SLVjvGs5tc+G892kWrHeFbza5+NZ7tItWM8q/m1z8azXaTaMZ7V/Npn49kuwnG3BWjcdluY/AgggMCACfjFSGijcRtSsY+xyMu3yvvVbdFDyvDM9yxzBs8yavlz8My3KXMGzzJq+XPwzLcpcwbPMmr5c/DMtylzBs8yavlz8My34Uz3BGjcds+WzAgggMBACvgFSWijcRtSSRtjsRf2KvuQMjzDnmVH8SwrF56HZ9il7CieZeXC8/AMu5QdxbOsXHgenmGXsqN4lpULz8Mz7MJo9wRo3HbPlswIIIDAQAr4xUhoo3EbUrGPscgrtkp9SBmexZ6pZ/FMFSuOx7PYJ/UsnqlixfF4FvuknsUzVaw4Hs9in9SzeKaKFcfjWezD2e4I0LjtjitZEUAAgYEV8AuS0EbjNqSSNsZiL9+L2yXk29R1hvrUSuOJp1ZAm436xFMroM1GfeKpFdBmoz61nmSLC9C4jRsRgQACCDRKwC9GQhuN25CKfYxFXrFV3u0SDnjHOe6AVed0TMazg6TSAJ6V+Dom49lBUmkAz0p8HZPx7CCpNIBnJb6OyXh2kFQawLMSX8dkPDtIGKhBgMZtDchcAgEEEBgkAb8gCW00bkMqaWMs9oq9Un91i2exZ+pZPFPFiuPxLPZJPYtnqlhxPJ7FPqln8UwVK47Hs9gn9SyeqWLF8XgW+3BWL0DjVm9KRgQQQGCgBfxiJLTRuA2p2MdY5MWt8n51O2vTqJu+eKQlAZ4tHJUP8KxM2JIAzxaOygd4ViZsSYBnC0flAzwrE7YkwLOFo/IBnpUJWxLg2cLBQU0CNG5rguYyCCCAwKAI+AVJaKNxG1JJG2OxF/dKeUgZnnHPlAg8U7TisXjGjVIi8EzRisfiGTdKicAzRSsei2fcKCUCzxSteCyecSMitAI0brWeZEMAAQQGXsAvRkIbjduQin2MRZ7Nynq7BDxtntYoPK1Stjg8bU7WKDytUrY4PG1O1ig8rVK2ODxtTtYoPK1Stjg8bU5EaQVo3Go9yYYAAggMvIBfkIQ2GrchlbQxFntxr7zbJcy84GI345QVLQnwbOGofIBnZcKWBHi2cFQ+wLMyYUsCPFs4Kh/gWZmwJQGeLRyVD/CsTNiSAM8WDg5qEKBxWwMyl0AAAQQGScAvRkIbjduQin2MRZ7davu61e7paz/fMmHKvPluzpat2RieGYVkB08JY5YEz4xCsoOnhDFLgmdGIdnBU8KYJcEzo5Ds4ClhzJLgmVGwU6MAjdsasbkUAgggMAgCfkES2mjchlTSxljs2bzyfnXb/pAyPG2e1ig8rVK2ODxtTtYoPK1Stjg8bU7WKDytUrY4PG1O1ig8rVK2ODxtTkTpBGjc6izJhAACCAyFgF+MhDYatyEV+xiLPLuVj4w9pAzPNM9YNJ4xobTzeKZ5xaLxjAmlncczzSsWjWdMKO08nmlesWg8Y0Jp5/FM8yJaI0DjVuNIFgQQQGBoBPyCJLTRuA2ppI2x2LN7WR5Shqfd0xKJp0XJHoOn3coSiadFyR6Dp93KEomnRckeg6fdyhKJp0XJHoOn3YpIjQCNW40jWRBAAIGhEfCLkdBG4zakYh9jkWe38pGx2yXgmeYZi8YzJpR2Hs80r1g0njGhtPN4pnnFovGMCaWdxzPNKxaNZ0wo7TyeaV5EawRo3GocyYIAAggMjYBfkIQ2GrchlbQxFntpXqHbJUw7esTN/vjoeCI80zxj0XjGhNLO45nmFYvGMyaUdh7PNK9YNJ4xobTzeKZ5xaLxjAmlncczzYvo6gI0bqsbkgEBBBAYKgG/GAltNG5DKvYxFnl2q4nIol/d7nfMcY6anJCq/if1Wd1wcgY8J2tU38ezuuHkDHhO1qi+j2d1w8kZ8JysUX0fz+qGkzPgOVmD/boEaNzWJc11EEAAgQER8AuS0EaTLKSSNsZiL83LR4d+dTtj2XI3c90Gh2e6Z9EMPIt00s/hmW5WNAPPIp30c3immxXNwLNIJ/0cnulmRTPwLNJJP4dnuhkzqgnQuK3mx2wEEEBg6AT8YiS00bgNqdjHWOTZrSZH5j2k7DnX/ie/uJ0MVXGf+qwI2DYdzzaQiod4VgRsm45nG0jFQzwrArZNx7MNpOIhnhUB26bj2QbCYS0CNG5rYeYiCCCAwOAI+AVJaKNxG1JJG2Oxl+blo7ldQrpZ2RnUZ1m58Dw8wy5lR/EsKxeeh2fYpewonmXlwvPwDLuUHcWzrFx4Hp5hF0a7J0Djtnu2ZEYAAQQGUsAvRkIbjduQin2MRZ7dqj0ydLuEzzz6hDvzRw+1h3JcUoD6LAmXMw3PHJiSw3iWhMuZhmcOTMlhPEvC5UzDMwem5DCeJeFypuGZA8NwVwVo3HaVl+QIIIDA4An4BUloo3EbUkkbY7GX5jURnXe7hGVb/8t98/GnJsL4s6IA9VkRsG06nm0gFQ/xrAjYNh3PNpCKh3hWBGybjmcbSMVDPCsCtk3Hsw2Ew64L0LjtOjEXQAABBAZLwC9GQhuN25CKfYxFnt0qFBn61e3EQ8pC8YylCVCfaV6xaDxjQmnn8UzzikXjGRNKO49nmlcsGs+YUNp5PNO8YtF4xoQ43w0BGrfdUCUnAgggMMACfkES2mjchlTSxljspXlNjg796va+nbvdy7/748lh7FcQoD4r4AWm4hlAqTCEZwW8wFQ8AygVhvCsgBeYimcApcIQnhXwAlPxDKAw1FUBGrdd5SU5AgggMHgCfjES2mjchlTsYyzy7FahyKKHlE1fPBKawliCAPWZgGUIxdOAlBCCZwKWIRRPA1JCCJ4JWIZQPA1ICSF4JmAZQvE0IBEiF6BxKyclIQIINE3ggQcecD/84Q/dr371K/fEE0+M/3PggQe6J5980h188MHZPy960Yvc8573vL7n8QuS0EbjNqSSNsZiL82rPZrbJbSLaI+pTzy1Atps1CeeWgFtNuoTT62ANhv1iadWgGx1C9C4rVuc6yGAwMAL+Abtpz71KfeFL3zB3XHHHe6xxx4zv6ff+73fc8ccc4xbsmSJe/Ob3+ye//znm+fWFegXd6GNxm1IxT7GotlulRcZul3ClHnz3exNo27KoYflTWPcIEB9GpASQvBMwDKE4mlASgjBMwHLEIqnASkhBM8ELEMongakhBA8E7AIlQnQuJVRkggBBIZd4KGHHnIXXHCB+/SnP+22b99e+e1OnTrVnXrqqe4973mPe+UrX1k5nyqBX5CENhq3IZW0MRZ7aV7t0f52CU+uW+N2b7u15RQPKWvhKH1AfZamC07EM8hSehDP0nTBiXgGWUoP4lmaLjgRzyBL6UE8S9MFJ+IZZGGwiwI0bruIS2oEEBgege9+97vulFNOcT/5yU+68qaWLVvmrr76ajdr1qyu5E9J6hcjoY3GbUjFPsYiz25VFJn3q9s5W7YWTeNcRID6jAAlnsYzESwSjmcEKPE0nolgkXA8I0CJp/FMBIuE4xkBSjyNZyIY4RIBGrcSRpIggMAwC4yNjbkTTzxx/J613XyfixYtclu2bHELFizo5mWiuf2CJLTRuA2ppI2x2EvzCkXzkLKQimaM+tQ4TmTBc0JC8yeeGseJLHhOSGj+xFPjOJEFzwkJzZ94ahwnsuA5IcGfdQnQuK1LmusggMDACvjbGHzzm98Mvv5DDjlk/Je4L37xi93ChQvHH0Q2Y8YMt3TpUrdr165szqWXXjp+fM8997hvf/vb7q677srOTd6ZO3eu+9a3vuVe+MIXTh6udd8vRkIbjduQin2MRZ7dKhbJQ8piQunnqc90s6IZeBbppJ/DM92saAaeRTrp5/BMNyuagWeRTvo5PNPNimbgWaTDuW4J0Ljtlix5EUBgKAS+/OUvu9e//vUt78X/hf2mN73JnX766e7kk09206ZNaznvD3yj9txzz83GV69e7S6++OLs+IYbbnD//M//7L761a9mYxM7/npf/OIXJw5r/9O/v9BG4zakkjbGYi/NKy+a2yXkyVQbpz6r+bXPxrNdpNoxntX82mfj2S5S7RjPan7ts/FsF6l2jGc1v/bZeLaLcNxtARq33RYmPwIIDLSAb876e89O3i6//HJ35plnTh7q2H/qqafc4Ycf7h5++OHxc895znPG9/0DySZv//Vf/zXe/H3ssccmD7tvfOMb7o/+HonotQAAGHtJREFU6I9axuo68IuRvM03bycWK/z5Ww6P3tTDnp/e5x77s1d1lOkB7zjHHfiu9/C58O8p31PPfo/z/dSb7yfccWd9xPcP3wPD/z3QsQhlAIEuCtC47SIuqRFAYPAFRkZG3G233Za9kQ984ANu7dq12XHRztve9jb3yU9+Mgu59957x2+nkA38/52tW7eO31rh6aefzk4tXrzY+aZuURM1Cxbv5F2TRejwL0IH6T82f/3lzW77hWtaqv++nbvdy7/7Y5p2NO1oWtK853uA7wG+B/ge4HuA74Gufg+0LEI5QKCLAjRuu4hLagQQGHyB5z73ue6Xv/xl9kYeeOABN2/evOy4aGfDhg1uzZp9jaXrr7/eveY1rwlOueaaa8Zvv+CboxPbj3/84548qKyocTvx2vgzXWCiKZo+kxkhgQUzprvbF3U+yG/WplE3ffFIaApjBQLUZwFOiVN4lkArmIJnAU6JU3iWQCuYgmcBTolTeJZAK5iCZwFOiVN4lkBjSmUBGreVCUmAAALDKrB9+3Z30EEHZW9v/vz57v7778+OYztf+tKX3KmnnpqFfeQjH3Hvfve7s+P2nVe96lXO//p2Yitq9E7EdONPvyAJbZObyqHzjMUFWOzFjVIitrzkMPeHs/ZvmTJj2XI3c92GljEObALUp83JGoWnVcoWh6fNyRqFp1XKFoenzckahadVyhaHp83JGoWnVYo4lQCNW5UkeRBAYOgE9uzZ4/bbbz+3d+/e8fd22GGHufvuu8/8Pv2Dx1772tdm8X/7t3/r/K9w87YrrrjCvfOd78xOf/jDH3ZnnXVWdlzXjl+MhDYatyEV+xiLPLuVJdJ7hm6XMGXefDdny77/AcSSixiX/d9JsdAI8O+7xnEiC54TEpo/8dQ4TmTBc0JC8yeeGseJLHhOSGj+xFPjSJY0ARq3aV5EI4BAwwR+53d+xz3yyCPZu/7Zz37mnve852XHRTsbN25073nPe7KQ973vfe4f//Efs+P2nZtvvtn94R/+YTZ89tlnO5+j7s0vSEIbjduQStoYi700r1g0t0uICaWdpz7TvGLReMaE0s7jmeYVi8YzJpR2Hs80r1g0njGhtPN4pnnFovGMCXFeLUDjVi1KPgQQGCqBY445xn3nO9/J3tMHP/hB9zd/8zfZcdHOG9/4Rrd58+Ys5JJLLnHvfe97s+P2nR/84AfuxS9+cTb8ute9zl177bXZcV07fjES2mjchlTsYyzy7FaWyAnP7etWu6ev/XzLFH5128JhOpjwNAUTFBXAM0qUFIBnElc0GM8oUVIAnklc0WA8o0RJAXgmcUWD8YwSEdAFARq3XUAlJQIIDI/Aeeed5y666KLsDU2bNs1dd9117tWvfnU2Ftr5/Oc/71asWNFy6uqrrx5/AFnL4KSD22+/3R199NHZyCmnnOK+/OUvZ8d17fgFSWijcRtSSRtjsZfmFYv2nnt+ep977M9e1RHKQ8o6SKID1GeUKCkAzySuaDCeUaKkADyTuKLBeEaJkgLwTOKKBuMZJUoKwDOJi2CBAI1bASIpEEBgeAXuuOMOt3jx4uw+t/6dzpw5c/zes+eee66bO3duy5t/4okn3OWXXz5+S4THH3+85dwDDzzg5s2b1zI2+cD/utY3aye2t771re5Tn/rUxGFtf/rFSGijcRtSsY+xyLNbWSInez7+ztPd7m23tkzjIWUtHNGDyZ7RYAKiAnhGiZIC8EziigbjGSVKCsAziSsajGeUKCkAzySuaDCeUSICuiBA47YLqKREAIHhEvD3pr344os73tT+++/vXvayl7mFCxe6qVOnuvvvv9/ddddd7le/+lVH7Iknnui+/vWvd4xPHvi7v/s79w//8A/Z0Pnnn+8uvPDC7LiuHb8gCW00bkMqaWMs9tK8YtETnk9v+ZzbfuGalnBul9DCYTqY8DQFExQVwDNKlBSAZxJXNBjPKFFSAJ5JXNFgPKNESQF4JnFFg/GMEhEgFqBxKwYlHQIIDJ/Azp073ZIlS9ydd95Z6s0ddNBB43N///d/v3D+yMiIu+2227IYf7uFN7zhDdlxXTt+MRLaaNyGVOxjLPLsVpbIyZ57H7if2yVY0ApiJnsWhHHKKICnEcoYhqcRyhiGpxHKGIanEcoYhqcRyhiGpxHKGIanEYowqQCNWyknyRBAYFgFvve9743f1/bnP/958lv82Mc+5latWlU472c/+1nLbRSmT5/uHn74YXfwwQcXzuvGSb8gCW00bkMqaWMs9tK8YtGTPUO3S5h29Iib/fHRWBrO/3+ByZ6gVBfAs7rh5Ax4Ttaovo9ndcPJGfCcrFF9H8/qhpMz4DlZo/o+ntUNyZAmQOM2zYtoBBBosIC/Z62/lcGHPvQh9/TTT0clFixY4NatW+f+4i/+Ihrr76X7ile8Iot797vf7T7ykY9kx3Xu+MVIaKNxG1Kxj7HIs1tZIts9+dWtRS0/pt0zP5IzFgE8LUr2GDztVpZIPC1K9hg87VaWSDwtSvYYPO1Wlkg8LUrEqAVo3KpFyYcAAkMvcO+997pNmza573//++7uu+92/nj37t3jDy07/PDDnf/n5JNPdu9617vcfvvtZ/bwuXxzeM6cOe5FL3qReZ460C9IQhuN25BK2hiLvTSvWHS7Z+hXtzykLKa473y7574z7JURwLOMWv4cPPNtypzBs4xa/hw8823KnMGzjFr+HDzzbcqcwbOMGnOqCNC4raLHXAQQQOBZgV27drnt27ePN1yHAcQvRkIbjduQin2MRZ7dyhIZ8uQhZRa5cEzIMxzJqEUAT4uSPQZPu5UlEk+Lkj0GT7uVJRJPi5I9Bk+7lSUST4sSMWoBGrdqUfIhgAACAy7gFyShjcZtSCVtjMVemlcsut2T2yXExIrPt3sWR3M2JoBnTCjtPJ5pXrFoPGNCaefxTPOKReMZE0o7j2eaVywaz5gQ59UCNG7VouRDAAEEBlzAL0ZCG43bkIp9jEWe3coSmefJ7RIsep0xeZ6dkYxYBPC0KNlj8LRbWSLxtCjZY/C0W1ki8bQo2WPwtFtZIvG0KBGjFqBxqxYlHwIIIDDgAn5BEtpo3IZU0sZY7KV5xaJDnnm3S5i5boObvngklrLR50OejQap+ObxrAjYNh3PNpCKh3hWBGybjmcbSMVDPCsCtk3Hsw2k4iGeFQGZnixA4zaZjAkIIIDAcAv4xUhoo3EbUrGPscizW1kiizz51a1FsDWmyLM1kiOLAJ4WJXsMnnYrSySeFiV7DJ52K0sknhYlewyeditLJJ4WJWLUAjRu1aLkQwABBAZcwC9IQhuN25BK2hiLvTSvWHSeZ96vbuds2RpL2ejzeZ6NRqnw5vGsgBeYimcApcIQnhXwAlPxDKBUGMKzAl5gKp4BlApDeFbAY2opARq3pdiYhAACCAyvgF+MhDYatyEV+xiLPLuVJbLIk4eUWQRbY4o8WyM5sgjgaVGyx+Bpt7JE4mlRssfgabeyROJpUbLH4Gm3skTiaVEiRi1A41YtSj4EEEBgwAX8giS00bgNqaSNsdhL84pFF3lyu4SYXuf5Is/OaEZiAnjGhNLO45nmFYvGMyaUdh7PNK9YNJ4xobTzeKZ5xaLxjAlxXi1A41YtSj4EEEBgwAX8YiS00bgNqdjHWOTZrSyRMc+82yXM3jTqphx6mOUSjYqJeTYKQ/Bm8RQgTkqB5yQMwS6eAsRJKfCchCHYxVOAOCkFnpMwBLt4ChBJkSxA4zaZjAkIIIDAcAv4BUloo3EbUkkbY7GX5hWLLvL0t0t4fNXpbu+DP21JM2PZcjdz3YaWMQ5+I1DkiVG6AJ7pZkUz8CzSST+HZ7pZ0Qw8i3TSz+GZblY0A88infRzeKabMaOaAI3ban7MRgABBIZOwC9GQhuN25CKfYxFnt3KEmnxzPvVLQ8p6xS2eHbOYiRPAM88mXLjeJZzy5uFZ55MuXE8y7nlzcIzT6bcOJ7l3PJm4Zknw3g3BWjcdlOX3AgggMAACvgFSWijcRtSSRtjsZfmFYuOefKQsphg6/mYZ2s0RzEBPGNCaefxTPOKReMZE0o7j2eaVywaz5hQ2nk807xi0XjGhDivFqBxqxYlHwIIIDDgAn4xEtpo3IZU7GMs8uxWlkirJw8ps2g6Z/W0ZSMKT20N4ImnVkCbjfrEUyugzUZ94qkVIFsvBGjc9kKdayKAAAJ9LOAXeKGNxm1IJW2MxXOaVyza4sntEmKK+85bPPdFsxcTwDMmlHYezzSvWDSeMaG083imecWi8YwJpZ3HM80rFo1nTIjzagEat2pR8iGAAAIDLuAXI6GNxm1IxT7GIs9uZYm0eubdLuGAd5zjDlh1juVSjYixejYCQ/Am8RQgTkqB5yQMwS6eAsRJKfCchCHYxVOAOCkFnpMwBLt4ChBJkSxA4zaZjAkIIIDAcAv4BUloo3EbUkkbY7GX5hWLtnryq9uY5G/OWz1t2YjCU1sDeOKpFdBmoz7x1Apos1GfeGoFyFa3AI3busW5HgIIINDnAn5xF9po3IZU7GMsmu1WlsgUz7xf3c7aNOqmLx6xXG7oY1I8hx5D8AbxFCBOSoHnJAzBLp4CxEkp8JyEIdjFU4A4KQWekzAEu3gKEEmRLEDjNpmMCQgggMBwC/gFSWijcRtSSRtjsZfmFYtO8eQhZTFNHlAWF0qLSKnPtMzNjMZT+7njiadWQJuN+sRTK6DNRn1qPckWF6BxGzciAgEEEGiUgF+MhDYatyEV+xiLPLuVJTLVk9slFKumehZn4yye2hrAE0+tgDYb9YmnVkCbjfrEUytAtl4I0LjthTrXRAABBPpYwC/wQhuN25BK2hiL5zSvWHSKJ7dLiGnyi9u4UFpESn2mZW5mNJ7azx1PPLUC2mzUJ55aAW026lPrSba4AI3buBERCCCAQKME/GIktNG4DanYx1jk2a0skWU8t69b7Z6+9vMt6afMm+/mbNnaMtbEgzKeTXSyvmc8rVK2ODxtTtYoPK1Stjg8bU7WKDytUrY4PG1O1ig8rVLEKQVo3Co1yYUAAggMgYBfkIQ2GrchlbQxFntpXrHoVE9+dVssmupZnI2zeGprAE88tQLabNQnnloBbTbqE0+tANnqFqBxW7c410MAAQT6XMAv7kIbjduQin2MRbPdyhJZ1pOHlIV1y3qGszGKp7YG8MRTK6DNRn3iqRXQZqM+8dQKkK0XAjRue6HONRFAAIE+FvALvNBG4zakkjbG4jnNKxZdxpOHlOWrlvHMz8YZPLU1gCeeWgFtNuoTT62ANhv1iadWgGx1C9C4rVuc6yGAAAJ9LuAXd6GNxm1IxT7GotluZYks68ntEsK6ZT3D2RjFU1sDeOKpFdBmoz7x1Apos1GfeGoFyNYLARq3vVDnmggggEAfC/gFXmijcRtSSRtj8ZzmFYsu6xm6XcK0o0fc7I+Pxi451OfLeg41SoU3h2cFvMBUPAMoFYbwrIAXmIpnAKXCEJ4V8AJT8QygVBjCswIeU0sJ0LgtxcYkBBBAYHgF/GIktNG4DanYx1jk2a0skVU8+dVtp3AVz85sjOCprQE88dQKaLNRn3hqBbTZqE88tQJk64UAjdteqHNNBBBAoI8F/AIvtNG4DamkjbF4TvOKRVfxDP3qdsay5W7mug2xyw7t+SqeQ4tS4Y3hWQEvMBXPAEqFITwr4AWm4hlAqTCEZwW8wFQ8AygVhvCsgMfUUgI0bkuxMQkBBBAYXgG/GAltNG5DKvYxFnl2K0tkVU8eUtaqXNWzNRtHeGprAE88tQLabNQnnloBbTbqE0+tANl6IUDjthfqXBMBBBDoYwG/wAttNG5DKmljLJ7TvGLRVTy5XUKnbhXPzmyM4KmtATzx1Apos1GfeGoFtNmoTzy1AmSrW4DGbd3iXA8BBBDocwG/uAttNG5DKvYxFs12K0ukwpPbJeyTVnjuy8YentoawBNPrYA2G/WJp1ZAm436xFMrQLZeCNC47YU610QAAQT6WMAv8EIbjduQStoYi+c0r1h0Vc+82yX4+9xOXzwSu/zQna/qOXQgFd8QnhUB26bj2QZS8RDPioBt0/FsA6l4iGdFwLbpeLaBVDzEsyIg05MFaNwmkzEBAQQQGG4BvxgJbTRuQyr2MRZ5ditLpMqTX93+RlvlafnsmhCDp/ZTxhNPrYA2G/WJp1ZAm436xFMrQLZeCNC47YU610QAAQT6WMAv8EIbjduQStoYi+c0r1i0wjPvV7dztmyNXX7ozis8hw6lwhvCswJeYCqeAZQKQ3hWwAtMxTOAUmEIzwp4gal4BlAqDOFZAY+ppQRo3JZiYxICCCAwvAJ+MRLaaNyGVOxjLPLsVpZIlScPKfuNtsrT8tk1IQZP7aeMJ55aAW026hNPrYA2G/WJp1aAbL0QoHHbC3WuiQACCPSxgF/ghTYatyGVtDEWz2lesWiVJ7dL+I20yjP2uTXlPJ7aTxpPPLUC2mzUJ55aAW026hNPrQDZ6hagcVu3ONdDAAEE+lzAL+5CG43bkIp9jEWz3coSqfTMu13C7E2jbsqhh1lezsDHKD0HHkPwBvAUIE5KgeckDMEungLESSnwnIQh2MVTgDgpBZ6TMAS7eAoQSZEsQOM2mYwJCCCAwHAL+AVJaKNxG1JJG2Oxl+YVi1Z5+tslPL7qdLf3wZ+2XHLGsuVu5roNLWPDfKDyHGajlPeGZ4pWPBbPuFFKBJ4pWvFYPONGKRF4pmjFY/GMG6VE4JmiRaxCgMatQpEcCCCAwBAJ+MVIaKNxG1Kxj7HIs1tZItWeeb+6bcpDytSels9wmGPw1H66eOKpFdBmoz7x1Apos1GfeGoFyNYLARq3vVDnmggggEAfC/gFXmijcRtSSRtj8ZzmFYtWevKQMueUnrHPrgnn8dR+ynjiqRXQZqM+8dQKaLNRn3hqBchWtwCN27rFuR4CCCDQ5wJ+cRfaaNyGVOxjLJrtVpbIbng2+SFl3fC0fI7DGoOn9pPFE0+tgDYb9YmnVkCbjfrEUytAtl4I0LjthTrXRAABBPpYwC/wQhuN25BK2hiL5zSvWLTak9sl/Jbj3/NY1dnPq+vTfuXhjMRT+7niiadWQJuN+sRTK6DNRn1qPckWF6BxGzciAgEEEGiUgF+MhDYaOiEV+xiLPLuVJbIbnnm3SzjgHee4A1adY3lZAxvTDc+BxRC8cDwFiJNS4DkJQ7CLpwBxUgo8J2EIdvEUIE5KgeckDMEungJEUiQL0LhNJmMCAgggMNwCfkES2mjchlTSxljspXnForvh2eRf3XbDM/YZDvN5PLWfLp54agW02ahPPLUC2mzUJ55aAbLVLUDjtm5xrocAAgj0uYBf3IU2GrchFfsYi2a7lSWyW555v7qdtWnUTV88YnlpAxnTLc+BxBC8aDwFiJNS4DkJQ7CLpwBxUgo8J2EIdvEUIE5KgeckDMEungJEUiQL0LhNJmMCAgggMNwCfkES2mjchlTSxljspXnForvl2dSHlHXLM/Y5Dut5PLWfLJ54agW02ahPPLUC2mzUJ55aAbLVLUDjtm5xrocAAgj0uYBf3IU2GrchFfsYi2a7lSWym55NvF1CNz0tn+ewxeCp/UTxxFMroM1GfeKpFdBmoz7x1AqQrRcCNG57oc41EUCgkQK7d+92n/jEJ9xNN93k7rzzTjdt2jQ3b948d8wxx7jFixe7P/mTP3EzZszouY1f4IU2GrchlbQxFs9pXrHobnlyu4SYPOctAt2qT8u1hzEGT+2niieeWgFtNuoTT62ANhv1qfUkW1yAxm3ciAgEEEBgXMA3Xq+55hr3ne98x91xxx3ukUcecS984Qvdy172Mve2t73NHX744blSY2Nj7u1vf/t4wzYvyDdwP/e5z7nnP//5eSG1jPvFSGijcRtSsY+xyLNbWSK77bl93Wr39LWfb3kpU+bNd3O2bG0ZG5aDbnsOi5P1feBplbLF4WlzskbhaZWyxeFpc7JG4WmVssXhaXOyRuFplSJOKUDjVqlJLgQQGFqBH/3oR+7Nb36zu+WWW4Lvcb/99nNnnXWWu+iii9z+++/fErNt2zZ3wgknuO3bt7eMhw4OOeQQ99nPftadeOKJodO1jPkFSWijcRtSSRtjsZfmFYvupmcTf3XbTc/YZzmM5/HUfqp44qkV0GajPvHUCmizUZ94agXIVrcAjdu6xbkeAggMnMA999zjjj76aPf4449HX/vJJ5/svvSlL2XN2/vvv9+NjIy4Bx54IDp3IuDQQw919957b89um/D/BGrcYQOjA7fYQoV4sdFGM/FhRYxKeoTnSLqkjB7hSUy8Dhc1o+FJ3ZgcDc/R8KRuCFDXtNH0ORqe1A0B6po2mj5Hw5O6ITBq2kCEAAAAAP///K3X/AAAQABJREFU7N0LlF1Vffjx7ZAwDCEhKBQJEVCrhQW+Eu0oogVdtLpMoib4wKDW2mQE7GirTXz8hRGLSrrwMT4gAa2og1ZLXJggVas1VZRYCfJSCz5QiEEUjQlhHBLiP3vivXPv3N+5+3F+59zz+O612nvvPr/9u/d+zp5x88uZsx/2x33N0BBAAAEEEgVe9rKXmc997nOJx6cfeP7zn2+uueYa87CHPcycfvrp5r/+67+mh5iZM2eaOXPmmD179pjf//73Hcc/+tGPmrPPPrujP48O+7mlxv9cSCphfdYWxzCzbtFZe05suMrseufqto/Qd9TRZu6GTW19VXmRtWdVnHy/B56+Un5xePo5+Ubh6SvlF4enn5NvFJ6+Un5xePo5+Ubh6StFnJbAwyjcalGSBwEEqijwv//7v2ZwcLCj2DYwMGDmzp1rHnroIXPvvfd2fPVLLrnEHH300WbJkiVtx2zB9sILLzTDw8Omv79/Mu9//ud/mle+8pXmvvvua8Yee+yx5o477pgs8DY7c3piFyNSo+Aoqfj3scjzt/KJzMNz7y/vNtuXnNrxcWavHTMzFw529Je5Iw/PMvuEfnY8Q8W6x+PZ3Sf0KJ6hYt3j8ezuE3oUz1Cx7vF4dvcJPYpnqBjxGgIUbjUUyYEAApUVeOMb32g++MEPNr9fX1+fectb3mJGRkaaRdWvfOUr5txzzzU//vGPm3EHHXSQsbEPPPBAs88Wbb/61a+av/qrv2r2NZ7cfvvt5qSTTjK7d+9udJlvfvOb5pRTTmm+zuuJXZBIjcKtpBLWx2IvzMsVnYfnjpXLzZ4tm9s+yowFg2bOurG2viq8yMOzCk6+3wFPXym/ODz9nHyj8PSV8ovD08/JNwpPXym/ODz9nHyj8PSVIk5LgMKtliR5EECgkgKLFy82GzdubH63f/qnfzIXX3xx83Xjib3dgS3I3nTTTY2ujsc1a9aYf/7nf+7ob3T8/d//vfnYxz7WeGk+/elPm+XLlzdf5/XELkakRuFWUvHvY5Hnb+UTmZdnXa66zcvT59xWIQZP3bOIJ566ArrZmJ946groZmN+4qkrQLZeCFC47YU674kAAqUROOGEE8yPfvSjyc9rb21w9913m8MPP1z8/Pfcc49ZsGCB2bZtW8fxZz7zmZNX0NrFU1L7xje+YU477bTmYXtLhbe97W3N13k9SfqMFG7TnwEWz+kNWzPk5Sldddu/aKmZNbKm9eOU/nlenqWH8vwCeHpCeYbh6QnlGYanJ5RnGJ6eUJ5heHpCeYbh6QnlGYanJxRhagIUbtUoSYQAAlUT2Lt3rzn44IPNxMTE5Fc78cQTza233tr1a372s581Z555ZkfMddddZ04++eSO/taOO++80zz60Y9udq1cudKsXbu2+TqvJ3YxktRs8baxWOFx/0ZjOFTf4Q9f/I+OTcruenCPedLNd/LzsO/3Bb8X+L3I70F+Dvg9wO8Bfg/we6BOvweS/luJfgSyEKBwm4UqORFAoBIC9v60s2bNan6X008/3dj72XZr08fY2FNPPdX893//d7dhk8fGx8cnC8WNwBe84AVtt2lo9Gf9aBfeUqvTYoz/+OA/Plrn+7H9M82NTzi248diye2/NN/a8QDFW4q3FK/5Rz1+D/B7gN8D/B7g90DNfg90LAzpQCAjAQq3GcGSFgEEqiFwxBFHmN/85jeTX2bhwoXme9/7Xtcvdv7555sLLrigLebP//zPzQ9+8IPmZmZtB1te/OIXvzDHHjtVHFq2bJn5j//4j5aIfJ52K9zm8wmq+S6NYnA1v13+3ypvz6rfLiFvz/xnTL7viKeuN5546groZmN+4qkroJuN+YmnrgDZeiFA4bYX6rwnAgiURsDe3uA73/nO5Oc99NBDza9+9Stj73Urtdtvv908+clPNvbK2entgx/8oBkeHp7e3fba3k7hlFNOafa98Y1vNO9///ubr/N6Yhd4UrNXINLSCbB4Tuc3fXSenhMbruq4XULfUUdP3ud25sLB6R+tlK/z9CwlUOCHxjMQzBGOpwMo8DCegWCOcDwdQIGH8QwEc4Tj6QAKPIxnIBjhqQUo3KYmJAECCFRZ4FWvepX51Kc+1fyK73vf+8w//uM/Nl83nuzYscMMDg42NzJr9Dce586da7773e+axz3ucY2ujsc3velNxuZvtKT3ahzP6tEuRqRG4VZS8e9jkedv5RPZC88qX3XbC0+f81zWGDx1zxyeeOoK6GZjfuKpK6CbjfmJp64A2XohQOG2F+q8JwIIlEbg3e9+t3n729/e/LyzZ882H/vYx8xLXvKSZp+9DcKrX/1q520Ujj/+eLN582YzZ86c5tjGk1//+teTG5Pt2rWr0TV5mwR7u4S8m13gSY3CraQS1sfiOczLFZ23Z9JVt3M3bHJ91FIcz9uzFCgpPiSeKfCEoXgKKCm68EyBJwzFU0BJ0YVnCjxhKJ4CSoouPFPgMTRKgMJtFBuDEECgLgL33HPP5FWy999/f9tXtrdE+Iu/+Atjj9tbKTz44INtxx/xiEeY66+/3jz96U839913X/OYLd7+27/922R/o/OHP/yhWbp0advVun19febHP/7xZDG3EZfXo12MSI3CraTi38ciz9/KJ7IXnnt/ebfZvuTUjo83e+2YKfvtEnrh2QFZoQ48dU8mnnjqCuhmY37iqSugm435iaeuANl6IUDhthfqvCcCCJRKwG42ZjcdC2n29gpnnXWWueSSS8w555zTNtQWZZ/4xCeaxz72sebnP/+5ufnmmzsKv2eccYb5/Oc/3zYurxd2gSc1CreSSlgfi+cwL1d0Lzy5XYLrrHC8IdCL+dl47yo+4ql7VvHEU1dANxvzE09dAd1szE9dT7K5BSjcuo2IQACBmgvY2xfYQutPf/pTL4kLL7zQvO1tb5uMfeihh8wLX/hCc80113iNbQTZ++E+7WlPa7zM9dEuRqRG4VZS8e9jkedv5RPZK8+q3i6hV54+57qMMXjqnjU88dQV0M3G/MRTV0A3G/MTT10BsvVCgMJtL9R5TwQQKJ3A9u3bzdDQkPnc5z6X+NkPPvhg8853vtO8+c1vbouxhd9nP/vZZsuWLW39SS/s/XI/8YlPJB3OvN8u8KRG4VZSCetj8Rzm5Yruhae9XcKOoeVm77atbR+vf9FSM2tkTVtf2V70wrNsRiGfF88QLXcsnm6jkAg8Q7TcsXi6jUIi8AzRcsfi6TYKicAzRItYDQEKtxqK5EAAgdoI2NsXfOlLXzI33nijsZuSzZw505xwwglmcHDQvPWtbzXz588XLe69917zute9znzhC18Qj9tOuwgYGRkx5513XmJMHgfs55AahVtJxb+PRZ6/lU9kLz2reNVtLz19znfZYvDUPWN44qkroJuN+YmnroBuNuYnnroCZOuFAIXbXqjzngggUAmBvXv3ThZb7YLIt9mi76WXXmpuueUWc+edd5oZM2ZM3obhL//yL82LXvQi8zd/8ze+qTKLS/o+FG7Tk7N4Tm/YmqFXnlXdpKxXnq3ntErP8dQ9m3jiqSugm435iaeugG425ieeugJky1uAwm3e4rwfAggg8CcBewsFW7jt7+8vlIld3EmNwq2k4t/Hotnfyiey155V26Ss154+57xMMXjqni088dQV0M3G/MRTV0A3G/MTT10BsvVCgMJtL9R5TwQQQKDAAnaBJzUKt5JKWB+L5zAvV3QvPbldguvscLyX87OK+njqnlU88dQV0M3G/MRTV0A3G/NT15NsbgEKt24jIhBAAIFaCdjFiNQo3Eoq/n0s8vytfCJ77Zl0u4SBFcNmYGjY5ysUKqbXnoXCUPgweCogtqTAswVD4SmeCogtKfBswVB4iqcCYksKPFswFJ7iqYBIimABCrfBZAxAAAEEqi1gFyRSo3ArqYT1sdgL83JF99qzalfd9trTdb7LdhxP3TOGJ566ArrZmJ946groZmN+4qkrQLa8BSjc5i3O+yGAAAIFF7CLO6lRuJVU/PtYNPtb+UQWwTPpqtvZa8fMzIWDPl+jMDFF8CwMhsIHwVMBsSUFni0YCk/xVEBsSYFnC4bCUzwVEFtS4NmCofAUTwVEUgQLULgNJmMAAgggUG0BuyCRGoVbSSWsj8VemJcrugieVdqkrAiernNepuN46p4tPPHUFdDNxvzEU1dANxvzE09dAbLlLUDhNm9x3g8BBBAouIBd3EmNwq2k4t/HotnfyieyKJ5VuV1CUTx9zn0ZYvDUPUt44qkroJuN+YmnroBuNuYnnroCZOuFAIXbXqjznggggECBBewCT2oUbiWVsD4Wz2FerugieHK7BNdZqu/xIszPKunjqXs28cRTV0A3G/MTT10B3WzMT11PsrkFKNy6jYhAAAEEaiVgFyNSo3Arqfj3scjzt/KJLJLnrpFVZmLj+raP3XfU0Wbuhk1tfUV+USTPIjv5fjY8faX84vD0c/KNwtNXyi8OTz8n3yg8faX84vD0c/KNwtNXijhNAQq3mprkQgABBCogYBckUqNwK6mE9bHYC/NyRRfFsypX3RbF03Xey3IcT90zhSeeugK62ZifeOoK6GZjfuKpK0C2vAUo3OYtzvshgAACBRewizupUbiVVPz7WDT7W/lEFs2z7JuUFc3TZw4UOQZP3bODJ566ArrZmJ946groZmN+4qkrQLZeCFC47YU674kAAggUWMAu8KRG4VZSCetj8Rzm5YoukmcVNikrkqfr3JfhOJ66ZwlPPHUFdLMxP/HUFdDNxvzEU1eAbHkLULjNW5z3QwABBAouYBd3UqNwK6n497Fo9rfyiSyaZ9lvl1A0T585UOQYPHXPDp546groZmN+4qkroJuN+YmnrgDZeiFA4bYX6rwnAgggUGABu8CTGoVbSSWsj8VzmJcrumie0u0SZiwYNHPWjbm+SiGOF82zECgpPgSeKfCEoXgKKCm68EyBJwzFU0BJ0YVnCjxhKJ4CSoouPFPgMTRKgMJtFBuDEEAAgeoK2MWI1CjcSir+fSzy/K18IovoufuGzWbn0PKOjz977ZiZuXCwo79IHUX0LJJP6GfBM1Ssezye3X1Cj+IZKtY9Hs/uPqFH8QwV6x6PZ3ef0KN4hooRryFA4VZDkRwIIIBAhQTsgkRqFG4llbA+FnthXq7oInpKV932L1pqZo2scX2dnh8vomfPUVJ8ADxT4AlD8RRQUnThmQJPGIqngJKiC88UeMJQPAWUFF14psBjaJQAhdsoNgYhgAAC1RWwixGpUbiVVPz7WOT5W/lEFtWzrJuUFdXTZy4UMQZP3bOCJ566ArrZmJ946groZmN+4qkrQLZeCFC47YU674kAAggUWMAu8KRG4VZSCetj8Rzm5YouomeZNykroqdrDhT5OJ66ZwdPPHUFdLMxP/HUFdDNxvzEU1eAbHkLULjNW5z3QwABBAouYBd3UqNwK6n497Fo9rfyiSyyZxlvl1BkT5/5ULQYPHXPCJ546groZmN+4qkroJuN+YmnrgDZeiFA4bYX6rwnAgggUGABu8CTGoVbSSWsj8VzmJcruqieSbdLsPe5LfImZUX1dM2Doh7HU/fM4ImnroBuNuYnnroCutmYn3jqCpAtbwEKt3mL834IIIBAwQXs4k5qFG4lFf8+Fs3+Vj6RRfcs21W3Rff0mRNFisFT92zgiaeugG425ieeugK62ZifeOoKkK0XAhRue6HOeyKAAAIFFrALPKlRuJVUwvpYPId5uaKL7Jl01e3cDZtcX6tnx4vs2TOUFG+MZwo8YSieAkqKLjxT4AlD8RRQUnThmQJPGIqngJKiC88UeAyNEqBwG8XGIAQQQKC6AnYxIjUKt5KKfx+LPH8rn8iie5Ztk7Kie/rMiSLF4Kl7NvDEU1dANxvzE09dAd1szE88dQXI1gsBCre9UOc9EUAAgQIL2AWe1CjcSiphfSyew7xc0UX35HYJrjNY7eNFn59l08dT94zhiaeugG425ieeugK62Zifup5kcwtQuHUbEYEAAgjUSsAuRqRG4VZS8e9jkedv5RNZBs8y3S6hDJ4+86IoMXjqngk88dQV0M3G/MRTV0A3G/MTT10BsvVCgMJtL9R5TwQQQKDAAnaBJzUKt5JKWB+L5zAvV3TRPe3tEnYMLTd7t21t+yr9i5aaWSNr2vqK8KLonkUwCvkMeIZouWPxdBuFROAZouWOxdNtFBKBZ4iWOxZPt1FIBJ4hWsRqCFC41VAkBwIIIFAhAbsYkRqFW0nFv49Fnr+VT2RZPMty1W1ZPH3mRhFi8NQ9C3jiqSugm435iaeugG425ieeugJk64UAhdteqPOeCCCAQIEF7AJPahRuJZWwPhbPYV6u6DJ4lmmTsjJ4uuZEkY7jqXs28MRTV0A3G/MTT10B3WzMTzx1BciWtwCF27zFeT8EEECg4AJ2cSc1CreSin8fi2Z/K5/IMnmWYZOyMnn6zI9ex+CpewbwxFNXQDcb8xNPXQHdbMxPPHUFyNYLAQq3vVDnPRFAAIECC9gFntQo3EoqYX0snsO8XNFl8eR2Ca4zWc3jZZmfZdHHU/dM4YmnroBuNuYnnroCutmYn7qeZHMLULh1GxGBAAII1ErALkakRuFWUvHvY5Hnb+UTWSbPpNslDKwYNgNDwz5fN/OYMnlmjqHwBngqILakwLMFQ+EpngqILSnwbMFQeIqnAmJLCjxbMBSe4qmASIpgAQq3wWQMQAABBKotYBckUqNwK6mE9bHYC/NyRZfJswxX3ZbJ0zU3inAcT92zgCeeugK62ZifeOoK6GZjfuKpK0C2vAUo3OYtzvshgAACBRewizupUbiVVPz7WDT7W/lEls0z6arb2WvHzMyFgz5fOdOYsnlmiqGQHE8FxJYUeLZgKDzFUwGxJQWeLRgKT/FUQGxJgWcLhsJTPBUQSREsQOE2mIwBCCCAQLUF7IJEahRuJZWwPhZ7YV6u6LJ5Fn2TsrJ5uuZHr4/jqXsG8MRTV0A3G/MTT10B3WzMTzx1BciWtwCF27zFeT8EEECg4AJ2cSc1CreSin8fi2Z/K5/IMnoW+XYJZfT0mSe9isFTVx5PPHUFdLMxP/HUFdDNxvzEU1eAbL0QoHDbC3XeEwEEECiwgF3gSY3CraQS1sfiOczLFV02T26X4Dqj1TpetvlZdH08dc8QnnjqCuhmY37iqSugm435qetJNrcAhVu3EREIIIBArQTsYkRqFG4lFf8+Fnn+Vj6RZfXcNbLKTGxc3/YV+4462szdsKmtL+8XZfXM28n3/fD0lfKLw9PPyTcKT18pvzg8/Zx8o/D0lfKLw9PPyTcKT18p4jQFKNxqapILAQQQqICAXZBIjcKtpBLWx2IvzMsVXUbPIl91W0ZP1xzp5XE8dfXxxFNXQDcb8xNPXQHdbMxPPHUFyJa3AIXbvMV5PwQQQKDgAnZxJzUKt5KKfx+LZn8rn8gyexZxk7Iye/rMl7xj8NQVxxNPXQHdbMxPPHUFdLMxP/HUFSBbLwQo3PZCnfdEAAEECixgF3hSo3ArqYT1sXgO83JFl9WzqJuUldXTNU96dRxPXXk88dQV0M3G/MRTV0A3G/MTT10BsuUtQOE2b3HeDwEEECi4gF3cSY3CraTi38ei2d/KJ7LMnkW8XUKZPX3mS94xeOqK44mnroBuNuYnnroCutmYn3jqCpCtFwIUbnuhznsigAACBRawCzypUbiVVML6WDyHebmiy+wp3S5hxoJBM2fdmOtrZ3a8zJ6ZoaRIjGcKPGEongJKii48U+AJQ/EUUFJ04ZkCTxiKp4CSogvPFHgMjRKgcBvFxiAEEECgWgL2T7f33LDZPPTLrWbPls2TX+6uB/dMPl63c9xced9O860dD1TrS+f8bVjk6YKX3XP3vp+3nUPLO1Bmrx0zMxcOdvRn3VF2z6x9QvPjGSrWPR7P7j6hR/EMFesej2d3n9CjeIaKdY/Hs7tP6FE8Q8WI1xCgcKuhSA4EEECgpALja0fN+GWjXp++76ijJwtKs0bWeMUT1CnAYq/TJE1P2T2lq277Fy01vfoZK7tnmrmUxVg8dVXxxFNXQDcb8xNPXQHdbMxPPHUFyJa3AIXbvMV5PwQQQKAAAklX+/l8NFvAHVg5bPoXL/MJJ+ZPAiyadadCFTyLtElZFTx1Z1i6bHim85s+Gs/pIule45nOb/poPKeLpHuNZzq/6aPxnC6S7jWe6fwYHSdA4TbOjVEIIIBAaQVCrrLt9iUHVgybgaHhbiEcmybAYm8aSMqXZfcs2iZlZfdMOZ3Uh+OpS4onnroCutmYn3jqCuhmY37iqStAtrwFKNzmLc77IYAAAj0U0CraNr4CxduGhPuRRbPbKCSiKp5FuV1CVTxD5lCWsXjq6uKJp66AbjbmJ566ArrZmJ946gqQrRcCFG57oc57IoAAAj0QSHN7hG4fd9b5F3HbhG5ALcdYPLdgKDytgmfS7RLsfW7z3qSsCp4K00otBZ5qlJOJ8MRTV0A3G/MTT10B3WzMTzx1BciWtwCF27zFeT8EECiVwK233mo+/OEPmxkzZpiJiQnzlKc8xbz0pS81hx9+eKm+h/2wv33qn2fyme09b+du2JRJ7iolZdGsezar5FmEq26r5Kk70+Ky4RnnljQKzySZuH4849ySRuGZJBPXj2ecW9IoPJNk4vrxjHNjVDoBCrfp/BiNAAIVFzjnnHPMJZdc0vYtDzroIPOKV7zCvOENbzBPfOIT244V9cWukVVmYuP6zD5e/6Klxl4hSOsuwGKvu0/o0ap4Jl11m/c/iFTFM3QeZRWPp64snnjqCuhmY37iqSugm435iaeuANnyFqBwm7c474cAAqUSWLFihbn88ssTP/Npp502WcBdvHix6evrS4zr9YGsrrZtfC+uum1IJD+yaE62iTlSJc8ibFJWJc+Y+aQ9Bk9dUTzx1BXQzcb8xFNXQDcb8xNPXQGy9UKAwm0v1HlPBBAojYCrcNv4Io9+9KPNP/zDP5i/+7u/M4ceemijuxCP0tV8WXyw2WvHcr8nZxbfI8ucLJ51davkye0SdOdGEbJVaX7iWQQB3c/A/MRTV0A3G/MTT10B3WzMT11PsrkFKNy6jYhAAIEaC/gWbhtEhxxyiPnbv/1bMzw8bB73uMc1unv6mPVtEhpfjtslNCTkRxZ5sktsb9U8pX9gyfNK9qp5xs4rrXF4aknuz4MnnroCutmYn3jqCuhmY37iqStAtl4IULjthTrviQACpRGYXrgdGBiYvKL2nnvu6fod7CLp+c9//uRtFE4//XRjX/eqbV/8V2bvtq2Zv32eRabMv0xGb8DiWRe2Sp72dgk7hpZ3/Kzm+Q8iVfLUnWlx2fCMc0sahWeSTFw/nnFuSaPwTJKJ68czzi1pFJ5JMnH9eMa5MSpegMJtvB0jEUCgBgLTC7cXXHCBWbVqlbnyyivN+9//fnPLLbc4FU444YTJK3Bf9apXmYMPPtgZrx1A4VZbNC4fi7w4t6RRVfTs5VW3VfRMmjt59OOpq4wnnroCutmYn3jqCuhmY37iqStAtl4IULjthTrviQACpRGQCrfveMc7mp//q1/9qrn44ovNl7/85WZf0pPDDjvM2HznnnuuOeaYY5LC1Puz3pis9QM//Hs/bn3J82kCLJ6ngaR8WTXPXm9SVjXPlNMr9XA8UxO2JcCzjSP1CzxTE7YlwLONI/ULPFMTtiXAs40j9Qs8UxOSIFCAwm0gGOEIIFAvAVfhtqFx2223TV6B++lPf9pMTEw0usXHAw44wLz4xS+evI3CKaecIsZoduZ1xa39zBRuk88ci7xkm5gjVfXs1SZlVfWMmVsaY/DUUJzKgeeUhcYzPDUUp3LgOWWh8QxPDcWpHHhOWWg8w1NDkRyhAhRuQ8WIRwCBWgn4Fm4bKPfee6/5yEc+Yi655BLz61//utGd+LhgwYLJAu7LX/5yc+CBBybGpTkgFYLS5EsaO2PBoJmzbizpMP37BFjs6U6DKnpyuwTdOdLLbFWcn3j2UkD3vZmfeOoK6GZjfuKpK6Cbjfmp60k2twCFW7cREQggUGOB0MJtg+oPf/iD+dSnPjV5Fe4Pf/jDRnfi45FHHmle97rXmbPPPtvY55otr8LtZ+/bac752a+axcnGoobHh5k//vGPuOzboA8H9zw4tn+mufEJx3b8Cljzy9+Z9/7yPuYR84ifI36f8nuA3wP8HuD3AL8Hevx7oGOhRgcCGQpQuM0Ql9QIIFB+gdjCbeOb20LVtddea973vveZr33ta43uxEd71e3LXvYy86Y3vck86UlPSowLOSBdwRcy3jd21vkXmYOWnMF/TPAfE/zHRMr/mHjLvEeYVfMOa/vR6zvqaHPYxv/h54ufL36+Uv588Y+J/CMa/4jo/kdEfk74OeHnxP1z0rZQ4wUCGQpQuM0Ql9QIIFB+gbSF21aBm266afIK3M985jPmwQcfbD3U8byvr8/ceOON5olPfGLHsdCOpA2PQvO44rm/bXehxn8EdY/iqK9AlT2TfmZnrx0zMxcO+hIFxVXZMwhCKRhPJcg/pcETT10B3WzMTzx1BXSzMT/x1BUgWy8EKNz2Qp33RACB0ghoFm4bX3rbtm3mwx/+sLn00kvNb3/720Z3x+Pll19uXvva13b0x3SMrx0145eNxgz1GjOwYtgMDA17xdY5iMWz7tmvsqd0i5P+RUvNrJE1uogt2ars2fI1c3uKpy41nnjqCuhmY37iqSugm435iaeuANnyFqBwm7c474cAAqUSyKJw2wB44IEHzBVXXDF5Fe4dd9zR6G4+2k3OzjnnnObrNE+SruBLk7N1bNYFpdb3KutzFs26Z67qntItTuztEuZu2KQL+adsVffMBK1LUjy74EQcwjMCrcsQPLvgRBzCMwKtyxA8u+BEHMIzAq3LEDy74HAoMwEKt5nRkhgBBKogkGXhtuGzd+9es3Hjxsn74G7aNFWU+fjHP25e85rXNMJSP+6+YbPZObQ8dZ6kBDMWDJo568aSDtO/T4DFnu40qLJn0j+2cLsE3TmUZbYqz88s3ZJy45kkE9ePZ5xb0ig8k2Ti+vGMc0sahWeSTFw/nnFujIoXoHAbb8dIBBCogUAehdtWxhtuuMF84AMfMNddd525+uqrzROe8ITWw6mfZ33LBHtF4Jx99+Hsmzc/9WetWgIWebpntA6eu0ZWmYmN69vgsrrqtg6ebZAZv8BTFxhPPHUFdLMxP/HUFdDNxvzEU1eAbL0QoHDbC3XeEwEESiOQd+E2D5g8ircDK4dN/+JleXydUr0Hi2fd01V1z7yvuq26p+7sc2fD020UEoFniJY7Fk+3UUgEniFa7lg83UYhEXiGaLlj8XQbEaErQOFW15NsCCBQMYEqFm7tKUp72wT759q2qLTrnavFM26vCuxftIwNy1p0WOS1YCg8rYtnXpuU1cVTYep5pcDTi8k7CE9vKq9APL2YvIPw9KbyCsTTi8k7CE9vKq9APL2YCFIWoHCrDEo6BBColsDQ0JBZt25d80u9+93vNm9961ubr8v8xBZeJzasN+OXjXp/jembkLkKwAMrhinetuiy2GvBUHhaB888Nymrg6fCtPNOgac3lVcgnl5M3kF4elN5BeLpxeQdhKc3lVcgnl5M3kF4elMRqCRA4VYJkjQIIFBNgZtuusl86EMfMr///e/NcccdZ1atWmWOOOKISn1ZW8C1BVhbxLXtZ9dfZx514Axz14N7Jl9ft3PcfGvf/135mx2Tr6f/Pzt+x75Nz/Zu2zr90ORrNi3bz8IiT5we0Z118bQ/X9uXnNrhpL1JWV08OyAz6sBTFxZPPHUFdLMxP/HUFdDNxvzEU1eAbL0QoHDbC3XeEwEEECiwgF3gSe2Pf/yj1D3ZZ4tL4+tGOzZSagxg07L9EiyeGzNC57EuntwuQWe+5J2lLvMzL1c8daXxxFNXQDcb8xNPXQHdbMxPXU+yuQUo3LqNiEAAAQRqJWAXI1LrVri18bZ42+3WC7Z4W+dNy1jkSbMqvq9Onkm3JNG86rZOnvGzzn8knv5WPpF4+ij5x+Dpb+UTiaePkn8Mnv5WPpF4+ij5x+Dpb0WkngCFWz1LMiGAAAKVELALEqm5CreNMeNrRxPvm0vx9mHG17HhyWOyQJ0Wz3lcdVsnz+RZpXcETz1LmwlPPHUFdLMxP/HUFdDNxvzEU1eAbHkLULjNW5z3QwABBAouYBd3UgspOCZdIdjIW8dNy1g0N86+zmPdPLPepKxunjqzMDkLnsk2MUfwjFFLHoNnsk3METxj1JLH4JlsE3MEzxi15DF4JttwJDsBCrfZ2ZIZAQQQKKWAXZBILaRwa8ezaVmnIou9TpM0PXXyzGOTsjp5ppl3vmPx9JXyi8PTz8k3Ck9fKb84PP2cfKPw9JXyi8PTz8k3Ck9fKeK0BCjcakmSBwEEEKiIgF2MSC20cGtz2GLT/SOrzZ4tm6WUZsaCQXPIyEWmb9588XiVOlnk6Z7NOnpmebuEOnrqzsj2bHi2e6R9hWdawfbxeLZ7pH2FZ1rB9vF4tnukfYVnWsH28Xi2e/AqHwEKt/k48y4IIIBAaQTsgkRqMYVbm8cWb8fXjZqJjeultMbe93bWyBozc+GgeLxKnSz2dM9m3TyTbpeg9fNTN0/d2diZDc9OkzQ9eKbR6xyLZ6dJmh480+h1jsWz0yRND55p9DrH4tlpQk+2AhRus/UlOwIIIFA6AbsYkVps4baRq+6blrHIa8wEnce6emZ11W1dPXVmY2cWPDtN0vTgmUavcyyenSZpevBMo9c5Fs9OkzQ9eKbR6xyLZ6cJPdkLULjN3ph3QAABBEolYBckUktbuLU5675pGYs9aWbF99XRM+mq27kbNsVD/mlkHT1To3VJgGcXnIhDeEagdRmCZxeciEN4RqB1GYJnF5yIQ3hGoHUZgmcXHA5lIkDhNhNWkiKAAALlFbCLEalpFG5tXlu83TWyyuzdtlV6G9O/aOnkrRPEgyXuZJGne/Lq6pnVJmV19dSdlVPZ8Jyy0HiGp4biVA48pyw0nuGpoTiVA88pC41neGooTuXAc8qCZ/kJULjNz5p3QgABBEohYBckUtMq3Nrcdd20jMWeNLPi++rqye0S4udMniPrOj+zMsZTVxZPPHUFdLMxP/HUFdDNxvzU9SSbW4DCrduICAQQQKBWAnYxIjXNwq3N77Np2Zy1Y6Zv3nzp45Suj0We7imrs2cWt0uos6fuzNyfDU9dVTzx1BXQzcb8xFNXQDcb8xNPXQGy9UKAwm0v1HlPBBBAoMACdoEnNe3CrX0PW7yd2LDejF82Kr2l6TvqaDOwctj0L14mHi9bJ4tn3TNWV0/7c7NjaHnH7UbS3makrp66s3IqG55TFhrP8NRQnMqB55SFxjM8NRSncuA5ZaHxDE8NxakceE5Z8CwfAQq3+TjzLggggEBpBOxiRGpZFG4b7yNdQdg4Zou3/YuWmYGh4UZXKR9Z5Ometrp7Sj8z9mcldpOyunvqzk5j8NQVxRNPXQHdbMxPPHUFdLMxP/HUFSBbLwQo3PZCnfdEAAEECixgF3hSy7Jwa9+vDpuWsXiWZlZ8X5097VW325ec2oE3e9/tRWYuHOzo9+mos6ePT2gMnqFi3ePx7O4TehTPULHu8Xh29wk9imeoWPd4PLv7hB7FM1SM+LQCFG7TCjIeAQQQqJiAXYxILevCrX3PpD8Bb3yeGQsGzZx1Y42XpXpkkad7uvA0RnOTMjyZn7oCutmYn3jqCuhmY37iqSugm435iaeuANl6IUDhthfqvCcCCCBQYAG7wJNaHoVb+762eDu+btRMbFwvfYzJ+96WddMyFs/iKY3urLsnt0uInjq5DKz7/NRGxlNXFE88dQV0szE/8dQV0M3G/NT1JJtbgMKt24gIBBBAoFYCdjEitbwKt/a9bfG2apuWsciTZlV8H577f06k2yUMrBgOvic0nvFzURqJp6QS34dnvJ00Ek9JJb4Pz3g7aSSekkp8H57xdtJIPCUV+rIWoHCbtTD5EUAAgZIJ2AWJ1PIs3DbeX7qisHGsjJuWsdhrnD2dRzyNGV87asYvG20Djd2kDM82xtQv8ExN2JYAzzaO1C/wTE3YlgDPNo7UL/BMTdiWAM82jtQv8ExNSIJAAQq3gWCEI4AAAlUXsIsRqfWicGs/h920bOfQcukjTfbFXF2YmCzDAyzydHHx3O+ptUkZnsxPXQHdbMxPPHUFdLMxP/HUFdDNxvzEU1eAbL0QoHDbC3XeEwEEECiwgF3gSa1XhVv7WaqyaRmLZ2lmxffhud9Oa5MyPOPnojQST0klvg/PeDtpJJ6SSnwfnvF20kg8JZX4Pjzj7aSReEoq9GUpQOE2S11yI4AAAiUUsIsRqfWycGs/T9k3LWORJ82q+D48p+ykW4qE3i4BzylPjWd4aihO5cBzykLjGZ4ailM58Jyy0HiGp4biVA48pyw0nuGpoUiOUAEKt6FixCOAAAIVF7ALEqn1unBrP5NP8XbWyBozc+Gg9BV63sdiT/cU4Lnfk9sl6M4rrWzMTy3J/XnwxFNXQDcb8xNPXQHdbMxPPHUFyJa3AIXbvMV5PwQQQKDgAnZxJ7UiFG4bn0vakKlxzF5pOLBy2PQvXtboKsQji2bd04Bnu+eukVVmYuP6ts6Qq27xbKNL/QLP1IRtCfBs40j9As/UhG0J8GzjSP0Cz9SEbQnwbONI/QLP1IQkiBCgcBuBxhAEEECgygJ2QSK1IhVu7ecr46ZlLPakmRXfh+eUncZVt3hOeWo8w1NDcSoHnlMWGs/w1FCcyoHnlIXGMzw1FKdy4DllofEMTw1FcoQIULgN0SIWAQQQqIGAXYxIrWiFW/sZbbFqx9Bys3fbVukjmxkLBs2cdWPisbw7WeTpiuPZ6ZlmkzI8Oz3T9OCZRq9zLJ6dJml68Eyj1zkWz06TND14ptHrHItnp0maHjzT6DE2VoDCbawc4xBAAIGKCtgFidSKWLi1n9MWb+8fWW32bNksfezJ4u0hIxeZvnnzxeN5drLY09XGs90z7SZleLZ7pn2FZ1rB9vF4tnukfYVnWsH28Xi2e6R9hWdawfbxeLZ7pH2FZ1pBxocKULgNFSMeAQQQqLiAXYxIraiFW/tZbfF2fN1oxz0+G9/D3uuz15uWschrnA2dRzw7HdPcLgHPTs80PXim0esci2enSZoePNPodY7Fs9MkTQ+eafQ6x+LZaZKmB880eoyNFaBwGyvHOAQQQKCiAnZBIrUiF24bn7fom5ax2GucKZ1HPDsduV1Cp0mvepifuvJ44qkroJuN+YmnroBuNuYnnroCZMtbgMJt3uK8HwIIIFBwAbu4k1oZCrf2cxd10zIWzdKsiu/DU7ZLmv+z146ZmQsH5UH7evFMpIk6gGcUW+IgPBNpog7gGcWWOAjPRJqoA3hGsSUOwjORJuoAnlFsDEopQOE2JSDDEUAAgaoJ2AWJ1MpSuLWf3Ravdo2sSty0rH/R0slbJ0jfM8s+Fnu6unjKnrFX3eIpe8b24hkrJ4/DU3aJ7cUzVk4eh6fsEtuLZ6ycPA5P2SW2F89YOcbFClC4jZVjHAIIIFBRAbsYkVqZCrf28xdt0zIWedKsiu/DM9kuZpMyPJM9Y47gGaOWPAbPZJuYI3jGqCWPwTPZJuYInjFqyWPwTLaJOYJnjBpj0gpQuE0ryHgEEECgYgJ2QSK1shVu7Xfw2bRszr4/Ie+bN1/6yup9LPZ0SfGUPWM3KcNT9oztxTNWTh6Hp+wS24tnrJw8Dk/ZJbYXz1g5eRyesktsL56xcoyLFaBwGyvHOAQQQKCiAnYxIrUyFm7t97BFrIkN6834ZaPS1zJ9Rx1tBlYOm/7Fy8TjWp0s8rQk9+fBs7tn6O0S8OzuGXoUz1Cx7vF4dvcJPYpnqFj3eDy7+4QexTNUrHs8nt19Qo/iGSpGvIYAhVsNRXIggAACFRKwCxKplbVw2/gu0p+PN47Z4m3/omVmYGi40ZXJI4s9XVY8kz2l+W7n+ayRNYmblOGZ7BlzBM8YteQxeCbbxBzBM0YteQyeyTYxR/CMUUseg2eyTcwRPGPUGJNGgMJtGj3GIoAAAhUUsIsRqZW9cGu/Uy83LWORJ82q+D483XYhV93i6fYMicAzRMsdi6fbKCQCzxAtdyyebqOQCDxDtNyxeLqNQiLwDNEiVkuAwq2WJHkQQACBigjYBYnUqlC4td/L3jphx9Bys3fbVulrmhkLBs2cdWPisbSdLPbSCraPx7PdY/qrpKtu527YND108jWeIkt0J57RdOJAPEWW6E48o+nEgXiKLNGdeEbTiQPxFFmiO/GMpmNgpACF20g4hiGAAAJVFbCLEalVpXBrv1svNi1jkSfNqvg+PN12IZuU4en2DInAM0TLHYun2ygkAs8QLXcsnm6jkAg8Q7TcsXi6jUIi8AzRIlZLgMKtliR5EEAAgYoI2AWJ1KpUuLXfrxeblrHYk2ZWfB+ebjtul+A2yiqC+akriyeeugK62ZifeOoK6GZjfuKpK0C2vAUo3OYtzvshgAACBRewizupVa1w2/iO42tHzfhlo42XbY92M6eBlcOmf/Gytv6YFyyaY9SSx+CZbNN6xPd2CXi2qqV/jmd6w9YMeLZqpH+OZ3rD1gx4tmqkf45nesPWDHi2aqR/jmd6QzKEC1C4DTdjBAIIIFBpAbsgkVpVC7f2u9pNy3buu+9tUhtYMWwGhoaTDnv3s9jzpvIKxNPNlHRP5/5FS82skTVtCfBs40j9As/UhG0J8GzjSP0Cz9SEbQnwbONI/QLP1IRtCfBs40j9As/UhCQIFKBwGwhGOAIIIFB1AbsYkVqVC7f2+yYVuBoWaTctY5HXkNR5xNPf0eeqWzz9PX0i8fRR8o/B09/KJxJPHyX/GDz9rXwi8fRR8o/B09/KJxJPHyVitAUo3GqLkg8BBBAouYBdkEit6oVb+51t8XZ83aiZ2LheIjD21glz1o6ZvnnzxeOuThZ7LqGw43j6edl5vX3JqR3Bs/fN5ZkLB5v9eDYpVJ7gqcLYTIJnk0LlCZ4qjM0keDYpVJ7gqcLYTIJnk0LlCZ4qjCQJEKBwG4BFKAIIIFAHAbsYkVodCrf2e/sUb+2fmLcWvCSv6X0s8qaLpHuNZ5ifa5MyPMM8XdF4uoTCjuMZ5uWKxtMlFHYczzAvVzSeLqGw43iGebmi8XQJcTwLAQq3WaiSEwEEECixgF2QSK0uhdvGd89i0zIWew1dnUc8/R25XYK/lVYk81NLcn8ePPHUFdDNxvzEU1dANxvzE09dAbLlLUDhNm9x3g8BBBAouIBd3EmtboVba6C5aRmLZmlWxffhGWaXdLuExsZ7eIZ5uqLxdAmFHcczzMsVjadLKOw4nmFermg8XUJhx/EM83JF4+kS4ngWAhRus1AlJwIIIFBiAbsgkVodC7fWwRa8dgwtN3u3bZVYTMimZSz2RMLoTjzD6KSryO19m+du2DSZCM8wT1c0ni6hsON4hnm5ovF0CYUdxzPMyxWNp0so7DieYV6uaDxdQhzXFqBwqy1KPgQQQKDkAnYxIrW6Fm6thS3e3j+y2uzZslmimSzeHjJyUddNy1jkiXTRnXiG0yVddWs3KTvwqU83df4ZD9fsPoL52d0n9CieoWLd4/Hs7hN6FM9Qse7xeHb3CT2KZ6hY93g8u/twNBsBCrfZuJIVAQQQKK2AXZBIre5FHVv0Gl83aiY2rpd4jL1y0bVpGYs9kS66E89wum6blOEZ7tltBJ7ddMKP4Rlu1m0Ent10wo/hGW7WbQSe3XTCj+EZbtZtBJ7ddDiWhQCF2yxUyYkAAgiUWMAuRqRW98Jtw0T6c/PGMVu8HVg5bPoXL2t0NR9Z5DUpVJ7gGceYtEnZYRv/hytu40jFUcxPkSW6E89oOnEgniJLdCee0XTiQDxFluhOPKPpxIF4iix0ZixA4TZjYNIjgAACZROwCxKpUbidUpGKX42jtnjbv2iZGRgabnQ1H1nsNSlUnuAZzsjtEsLNYkcwP2Pl5HF4yi6xvXjGysnj8JRdYnvxjJWTx+Epu8T24hkrx7hYAQq3sXKMQwABBCoqYBcjUqNw266y+4bNZtfIqsRNy/oXLZ28dUJjFIu8hoTOI57xjnbeTr/lx10P7jFPuvnO+KSMbBNgfrZxpH6BZ2rCtgR4tnGkfoFnasK2BHi2caR+gWdqwrYEeLZx8CInAQq3OUHzNggggEBZBOyCRGoUbjtVQjctY7HXaZimB884vaSrbpfc/kvzrR0PxCVlVIcA87ODJFUHnqn4Ogbj2UGSqgPPVHwdg/HsIEnVgWcqvo7BeHaQ0JGxAIXbjIFJjwACCJRNwC5GpEbhVlIxxmfTsjlrx8wBRz+Ke4jKhFG9LJqj2JqDum1S1gziSbQA8zOaThyIp8gS3YlnNJ04EE+RJboTz2g6cSCeIkt0J57RdAxMIUDhNgUeQxFAAIEqCtgFidQo3Eoq+/ts8XZiw3ozftmoGNTYtOygJWdQvBWF4jpZPMe52VHSfZq5XUK8pzSS+SmpxPfhGW8njcRTUonvwzPeThqJp6QS34dnvJ00Ek9Jhb4sBSjcZqlLbgQQQKCEAnYxIjUKt5JKe59UDGtE2KLY48/9J3HTskYMj/4CLJr9raTIpNslzN53dfjMhYPSEPoCBJifAVgeoXh6IAWE4BmA5RGKpwdSQAieAVgeoXh6IAWE4BmARaiaAIVbNUoSIYAAAtUQsAsSqVG4lVQ6+0I3LevMQI+vAItnXyk5jtslyC5avcxPLcn9efDEU1dANxvzE09dAd1szE88dQXIlrcAhdu8xXk/BBBAoOACdnEnNQq3korcZ69m3DG03OzdtlUMmLFg0MxZNyYeo9NPgP8I8XPqFmX/kWHnvnk6vXHV7XSR8NfMz3CzbiPw7KYTfgzPcLNuI/DsphN+DM9ws24j8OymE34Mz3AzRqQXoHCb3pAMCCCAQKLAPffcYz7ykY+YH/zgB+ZnP/uZufPOO83BBx9sHv7wh5vjjz/enHDCCea0004zp556amKOvA/YBYnUKNxKKsl9vpuW9c2bn5yEI10FWDx35fE6yFW3XkxRQczPKLbEQXgm0kQdwDOKLXEQnok0UQfwjGJLHIRnIk3UATyj2BiUQoDCbQo8hiKAQD0EvvzlL5sbbrhhclOppz/96ea5z32u84vv2LHDrFmzxnzgAx8wu3btcsYvWrTIXHzxxebxj3+8MzbrALsYSWq2eNtYrPD4sMk50c3hoa13mbc99Ulm1bzDRFK7adk537nRXPmbHbjum3fMr/x/vl5x+Bzz4eP+rG1+2nl52Mb/4Xzw+47fS/xe4vcAvwf4PcDvAX4PCL8H2hZOvEAgYwEKtxkDkx4BBMotcNttt5knPOEJkwsW+00GBwfN9ddf3/VL2eLT6aefbr72ta91jZt+cObMmeYd73jH5P9NP5bn66TCLUW1+KLaW+Y9guKtsOjtVvRmvsXPtxBX+48L25ec2vErxt4u4cCnPp3/WGPeUrShaMPvAX4P8HuA3wP8HhB+D3QsnuhAICMBCrcZwZIWAQSqIXDeeeeZd73rXc0vMzQ0ZC699NLma+mJvTXC61//eumQV9/VV19tlixZ4hWbRVC3wm0W71eXnKfMOdh88fHzEr/uwIphMzA0nHicA+0CjeJkey+vYgS4XUKMWvcxzM/uPqFH8QwV6x6PZ3ef0KN4hop1j8ezu0/oUTxDxbrH49ndh6PZCFC4zcaVrAggUBEBe1uEr3/9681vc+2115rnPe95zdfTn9x1112T96594IEHph8yhx9+uDnuuOPM3r17zZ49e8xPfvIT8TYKRxxxhLn55pvNIx/5yI4ceXTYBYnU7BWQtHQCx/bPNDf99clsWpaOsTmaxXOTItWTiQ1XmV3vXN2Ww94uYdbIGjNz4WBbPy/8BZif/lY+kXj6KPnH4Olv5ROJp4+Sfwye/lY+kXj6KPnH4OlvRaSOAIVbHUeyIIBARQXmzZtntm3bNvntDjjgALN9+3ZzyCGHJH7bK6+80ixf3r5L+4knnmhGRkbM0qVLTV9fX3OsLd5eccUV5sILL5zcuKx5YN+TF7zgBWbjxo2tXbk9t4sRqVG4lVT8+xqLPDYt8zfrFtnw7BbDMT8BOyevOe3p5pmzD2ob0L9o6WTxtq2TF14CzE8vJu8gPL2pvALx9GLyDsLTm8orEE8vJu8gPL2pvALx9GIiSFmAwq0yKOkQQKBaAgceeKDZvXv35Jd69KMfbX760592/YL2HrX/8i//0ow58sgjzS233GLsVbRJbWJiwjznOc8x3/72t9tC7NW78+fPb+vL44VdkEiNwq2kEtbXWOz5FG+52tFt2/B0RxLhEki66nbuhk2uoRxPEGB+JsBEduMZCZcwDM8EmMhuPCPhEobhmQAT2Y1nJFzCMDwTYOjOTIDCbWa0JEYAgbILPPjgg6a/v7/5NRYuXGi+973vNV9LT8444wxz1VVXNQ/ZK3DPPPPM5uukJ/fee6956lOfamyxttEuueQS87rXva7xMrdHuxiRGoVbScW/T1rkja8dNeOXjYpJ7J+qD6wcNv2Ll4nH694pedbdJM33t7fxuPEJx3aksJuUcbuEDhZnB/PTSRQUgGcQlzMYTydRUACeQVzOYDydREEBeAZxOYPxdBIRkIEAhdsMUEmJAALVEXj4wx9ufve7301+oeOPP9788Ic/7Prl7G0RfvCDHzRjfv7zn5tjjjmm+brbk7e//e3m3e9+dzNkeHjYfPCDH2y+zuuJXZBIjcKtpBLWJy32dt+w2ewcar+9RmtWNi1r1Wh/Lnm2R/AqRGDDX8zndgkhYI5Y5qcDKPAwnoFgjnA8HUCBh/EMBHOE4+kACjyMZyCYIxxPBxCH1QUo3KqTkhABBKokcPLJJ5vvfOc7k19p1qxZk/e4nTFjRuJXtLdTuPPOOyePH3zwweLmY0mDN2zYYJYsWdI8/PKXv9x85jOfab7O64ldjEiNwq2k4t/XbZFni7e7RlYlblrGvUY7nbt5dkbT4xKwnn/44n+Im5RxuwSXXudx5menSZoePNPodY7Fs9MkTQ+eafQ6x+LZaZKmB880ep1j8ew0oSd7AQq32RvzDgggUGKB17zmNeYTn/hE8xtcffXVbcXV5oE/PXna057WvJ3CoYceOlnonR6T9Pq6664zp5xySvPw8573PHPttdc2X+f1xC5IpEbhVlIJ6+u22LP3vb1/ZLXZs2WzmHTGgkFzyMhFpm9e/vc9Fj9QATq7eRbg45XuI9jbJdz01yd3/AMC/3AQdyqZn3FuSaPwTJKJ68czzi1pFJ5JMnH9eMa5JY3CM0kmrh/PODdGxQtQuI23YyQCCNRA4KKLLjJvectbmt90cHDQfOMb3zAHHdS++3ojwF4xa6+cbbT77rvP2Nst+DR7T9tzzjmnGfrKV77SfPKTn2y+zuuJXYxIjcKtpOLf57PIY9MyXU//bEQ25ieblOnMhYanTjay4Kk7B/DEU1dANxvzE09dAd1szE9dT7L5CVC49XMiCgEEairwrW99yzzrWc9q+/aLFy8269evN9ItEy688ELz//7f/2vGf+ELXzAvetGLmq+TntiiqM17zTXXNEPe+c53mvPOO6/5Oq8ndkEiNQq3kkpYn+9ij03L/Fx9Pf2yEWU9H9p6l9m+5NQODDYp6yBxdjA/nURBAXgGcTmD8XQSBQXgGcTlDMbTSRQUgGcQlzMYTycRAcoCFG6VQUmHAALVE7AF1Y0bN7Z9seXLl5srrrjCHHDAAW39119/vXnGM57R7DvzzDPNlVde2Xyd9OQNb3iDGR0dbTs8NjZmXvGKV7T15fHCLkakRuFWUvHvC13kSVc+Nt6t701SrsYAAEAASURBVKijTf+iZWZgaLjRVbvHUM/aAQV+4VbPHSuXd9yyg9slhIG2eoaNJFoSwFNSie/DM95OGomnpBLfh2e8nTQST0klvg/PeDtGxgtQuI23YyQCCNRE4PbbbzcnnXSS2b17d9s3ftSjHmXOPvtss2LFCnP44Yc3jz3+8Y83d9xxx+TrAw880Pz0pz81Rx99dPN46xOb+13vepf59Kc/3dpt7Dib45hjjmnrz+OFXZBIjcKtpBLWF7rYY9Oy7r6hnt2zcbThKf2jgf3HAjYpC5sjDc+wUUQnCeCZJBPXj2ecW9IoPJNk4vrxjHNLGoVnkkxcP55xboyKF6BwG2/HSAQQqJHA6tWrzZo1a8RvbO93a+9ta4u7j3nMY8yXvvSltqtsX/KSl5i3v/3tZnx83Nh73t55553mRz/60eS9cm+77TYjFURf//rXmw996EPi+2XdaRcjUpM+pxRHnywQu8hj0zJdTzkbva3z08456XYJs86/yPQvXgaWh0Crp0c4IQ4BPB1AgYfxDARzhOPpAAo8jGcgmCMcTwdQ4GE8A8EIVxGgcKvCSBIEEKi6gC1a2itjR0ZGxEKr5vefO3fuZGH3yCOP1EzrncsuSKRG4VZSCeuLXez5bFo2Z+2Y6Zs3P+wDlTw61rPkXzuzj9/qKd1nmatuw+hbPcNGEi0J4CmpxPfhGW8njcRTUonvwzPeThqJp6QS34dnvB0j4wQo3Ma5MQoBBGoqYDcbe9WrXmXuv//+TAQe+9jHTt5P9/jjj88kv09SuxiRGoVbScW/L+0izxZvJzasN+OXtd8LufEJbFFtYOVwba6ITOvZcONxv8B0z6SrbtmkzG/GTPf0G0VUkgCeSTJx/XjGuSWNwjNJJq4fzzi3pFF4JsnE9eMZ58aodAIUbtP5MRoBBGoocPfdd5tLLrnEXH755ebee+9VEejv7zf2lgof+MAHzCMe8QiVnLFJ7IJEahRuJZWwPo3FnnT/0canqNumZRqeDTsejZnuySZl6WbFdM902RiNp+4cwBNPXQHdbMxPPHUFdLMxP3U9yeYWoHDrNiICAQQQEAUmJibM5z//eXPttdeaLVu2GLvR2N69e8VYqdNuQLZw4UJzxhlnmFe/+tU9L9g2PqNdjEiNwq2k4t+nucizm5btHFqe+OYDK4bNwNBw4vEqHND0rIJH2u8geUr/SMDtEvykJU+/kURJAnhKKvF9eMbbSSPxlFTi+/CMt5NG4impxPfhGW/HyHgBCrfxdoxEAAEE2gTs7RNuvvlmc88995gdO3aYnTt3Tv6fDZo1a5Y55JBDJh8PO+wwY2+JcNxxx5kZM2a05SjCC7sgkRqFW0klrE9zsWf/lH3HvuLt3m1bxQ8xY8GgmbNuTDxWlU5Nz6qYpPke0z25XUIazc4rmNNlY/T0+YlIOgE80/lNH43ndJF0r/FM5zd9NJ7TRdK9xjOdH6PDBSjchpsxAgEEEKi0gF2MSI3CraTi35fFIs8W1sbXjZqJjevFD2KvjqzqpmVZeIqINelM8tw1sqpjfnHVrXtSJHm6RxIhCeApqcT34RlvJ43EU1KJ78Mz3k4aiaekEt+HZ7wdI+MFKNzG2zESAQQQqKSAXZBIjcKtpBLWl8VizxZv67ppWRaeYWe0WtGSJ1fdxp9jyTM+GyPx1J0DeOKpK6CbjfmJp66Abjbmp64n2dwCFG7dRkQggAACtRKwixGpUbiVVPz7sl7kja8dNeOXjYofyF4hObBy2PQvXiYeL2Nn1p5lNEnzmbt5sklZuGw3z/BsjMBTdw7giaeugG425ieeugK62Zifup5k8xOgcOvnRBQCCCBQGwG7IJEahVtJJawv68Ve3TYty9oz7OyWPzrJk03K4s5tkmdcNkbhqTsH8MRTV0A3G/MTT10B3WzMT11PsrkFKNy6jYhAAAEEaiVgFyNSo3Arqfj35bXIs3/aXodNy/Ly9D/D5Y7s5sntEsLPbTfP8GyMwFN3DuCJp66AbjbmJ566ArrZmJ+6nmTzE6Bw6+dEFAIIIFAbAbsgkRqFW0klrC+vxZ4ttN0/strs2bJZ/IAzFgyaQ0YuMn3z5ovHy9KZl2dZPNJ+zm6e3C4hXLebZ3g2RuCpOwfwxFNXQDcb8xNPXQHdbMxPXU+yuQUo3LqNiEAAAQRqJWAXI1KjcCup+PflvcizxdvxdaNmYuN68UPa+97OGlljZi4cFI8XvTNvz6J7pP18Ls+k23DMXjtW2jmU1qzbeJdnt7Ec6xTAs9MkTQ+eafQ6x+LZaZKmB880ep1j8ew0SdODZxo9xsYKULiNlWMcAgggUFEBuyCRGoVbSSWsrxeLvSpvWtYLz7AzXq5olydX3YadT5dnWDai8dSdA3jiqSugm435iaeugG425qeuJ9ncAhRu3UZEIIAAArUSsIsRqVG4lVT8+3q5yEu6WrLx6QdWDJuBoeHGy1I89tKzFECBH9LHk03K/FF9PP2zEYmn7hzAE09dAd1szE88dQV0szE/dT3J5idA4dbPiSgEEECgNgJ2QSI1CreSSlhfLxd7tni7a2SV2bttq/ih+xctnbx1gniwoJ299CwoSaqP5fJkk7IwXpdnWDai8dSdA3jiqSugm435iaeugG425qeuJ9ncAhRu3UZEIIAAArUSsIsRqVG4lVT8+4qwyKvSpmVF8PQ/+8WP9PXkdgl+59LX0y8bUXjqzgE88dQV0M3G/MRTV0A3G/NT15NsfgIUbv2ciEIAAQRqI2AXJFKjcCuphPUVYbFXpU3LiuAZNgOKHe3jmXS7hDJvdJfVWfHxzOq9q5gXT92ziieeugK62ZifeOoK6GZjfup6ks0tQOHWbUQEAgggUCsBuxiRGoVbScW/r2iLvLJvWlY0T/+ZUMxIX8+kq7bLeKuNLM+Er2eWn6FKufHUPZt44qkroJuN+YmnroBuNuanrifZ/AQo3Po5EYUAAgjURsAuSKRG4VZSCesr2mJPunqy8Y36jjra9C9aVuhNy4rm2bAr66OvpzRv7HyZu2FTWb96Jp/b1zOTN69gUjx1TyqeeOoK6GZjfuKpK6Cbjfmp60k2twCFW7cREQgggECtBOxiRGoUbiUV/76iLvLKumlZUT39Z0SxIkM82aTMfe5CPN3ZiMBTdw7giaeugG425ieeugK62Zifup5k8xOgcOvnRBQCCCBQGwG7IJEahVtJJayvqIs9W4jbMbTc7N22VfxCMxYMmjnrxsRjvewsqmcvTdK8d4gnm5S5pUM83dmIwFN3DuCJp66AbjbmJ566ArrZmJ+6nmRzC1C4dRsRgQACCNRKwC5GpEbhVlLx7yv6Is9n07I5a8dM37z5/l86w8iie2b41TNJHerJ7RK6n4ZQz+7ZOIqn7hzAE09dAd1szE88dQV0szE/dT3J5idA4dbPiSgEEECgNgJ2QSI1CreSSlhf0Rd7tng7sWG9Gb9sVPxi9j6mAyuHTf/iZeLxvDuL7pm3R9r3C/FMukqbTcqmzkKI59QoniUJ4JkkE9ePZ5xb0ig8k2Ti+vGMc0sahWeSTFw/nnFujIoXoHAbb8dIBBBAoJICdjEiNQq3kop/X5kWedLVlI1vWpRNy8rk2bAr8mOMpzRP2KRs/1mO8Szy/Oj1Z8NT9wzgiaeugG425ieeugK62Zifup5k8xOgcOvnRBQCCCBQGwG7IJEahVtJJayvTIs9u2nZzn33vU1qAyuGzcDQcNLhXPrL5JkLSMo3CfW0V91uX3Jqx7vO3ndLjZkLBzv669YR6lk3n9Dvi2eoWPd4PLv7hB7FM1Ssezye3X1Cj+IZKtY9Hs/uPhzVF6Bwq29KRgQQQKDUAnYxIjUKt5KKf18ZF3lJfw7f+Na93LSsjJ4NtyI+xnqySZl8NmM95Wz04qk7B/DEU1dANxvzE09dAd1szE9dT7L5CVC49XMiCgEEEKiNgF2QSI3CraQS1lfGxZ4t3o6vGzUTG9eLX9b+aXyvNi0ro6eIWJDOGE9ul5B88mI8k7NxBE/dOYAnnroCutmYn3jqCuhmY37qepLNLUDh1m1EBAIIIFArAbsYkRqFW0nFv6/MizxbvC3apmVl9vSfNflFxnom3S5h1vkXFWYTu/wUp94p1nMqA89aBfBs1Uj/HM/0hq0Z8GzVSP8cz/SGrRnwbNVI/xzP9IZkCBegcBtuxggEEECg0gJ2QSI1CreSSlhf2Rd742tHzfhlo+KXtlfeDqwczrVYV3ZPEbKHnbGe0rxgkzJjYj17OAUK/dZ46p4ePPHUFdDNxvzEU1dANxvzU9eTbG4BCrduIyIQQACBWgnYxYjUKNxKKv59VVnkFWXTsqp4+s+gbCPTeCZddVvnTcrSeGZ7psuZHU/d84YnnroCutmYn3jqCuhmY37qepLNT4DCrZ8TUQgggEBtBOyCRGoUbiWVsL6qLPZsoW7H0HKzd9tWESCvTcuq4iki9qAzjSeblHWesDSendnowVN3DuCJp66AbjbmJ566ArrZmJ+6nmRzC1C4dRsRgQACCNRKwC5GpEbhVlLx76vaIs8Wb+8fWW32bNksItji7SEjF5m+efPF42k7q+aZ1iPt+LSebFLWfgbSerZn4xWeunMATzx1BXSzMT/x1BXQzcb81PUkm58AhVs/J6IQQACB2gjYBYnUKNxKKmF9VVvs2eLt+LpRM7FxvQhh73M6a2SNmblwUDyetrNqnmk90o5P48ntEjr103h2ZqMHT905gCeeugK62ZifeOoK6GZjfup6ks0tQOHWbUQEAgggUCsBuxiRGoVbScW/r8qLPGlzqoZMVpuWVdmzYZfno4bnrpFVHUX8um5SpuGZ5/kv+nvhqXuG8MRTV0A3G/MTT10B3WzMT11PsvkJULj1cyIKAQQQqI2AXZBIjcKtpBLWV+XFXi82LauyZ9jM0olO68lVt+3nIa1nezZe4ak7B/DEU1dANxvzE09dAd1szE9dT7K5BSjcuo2IQAABBGolYBcjUqNwK6n499VhkWeLt/aqy6RNy/oXLZ28dYK/WnJkHTyTv73+ES1PNinbf260PPXPdDkz4ql73vDEU1dANxvzE09dAd1szE9dT7L5CVC49XMiCgEEEKiNgF2QSI3CraQS1leHxV6em5bVwTNshqWL1vBkk7Kpc6DhOZWNZ3jqzgE88dQV0M3G/MRTV0A3G/NT15NsbgEKt24jIhBAAIFaCdjFiNQo3Eoq/n11WuT5bFo2Z+2Y6Zs33x9wWmSdPKd99Uxeanlyu4T9p0fLM5OTXcKkeOqeNDzx1BXQzcb8xFNXQDcb81PXk2x+AhRu/ZyIQgABBGojYBckUqNwK6mE9dVpsWcLeBMb1pvxy0ZFJI1Ny+rkKSIqd2p5cruE/SdGy1P5NJc2HZ66pw5PPHUFdLMxP/HUFdDNxvzU9SSbW4DCrduICAQQQKBWAnYxIjUKt5KKf19dF3nSn8431Gzxtn/RMjMwNNzo8n6sq6c3UGCgpmfSRnWz911lPXPhYOAnK2e4pmc5BXQ/NZ546groZmN+4qkroJuN+YmnrgDZeiFA4bYX6rwnAgggUGABu8CTGoVbSSWsr66L56w2LaurZ9is84/W9OSqW2M0Pf3PYnUj8dQ9t3jiqSugm435iaeugG425qeuJ9ncAhRu3UZEIIAAArUSsIsRqVG4lVT8++q+yLO3TtgxtNzs3bZVRJuxYNDMWTcmHpM66+4pmaTp0/aUrrS2V1jP3bApzccszVhtz9J88Yw+KJ66sHjiqSugm435iaeugG425qeuJ9n8BCjc+jkRhQACCNRGwC5IpEbhVlIJ66v7Yk9707K6e4bNPne0pieblHHFrXvGhUVozs+wd65mNJ665xVPPHUFdLMxP/HUFSBb3gIUbvMW5/0QQACBggvYxZ3UKNxKKv59LJr3W2ltWoan/9zziczCs863S8jC0+c8VjUGT90ziyeeugK62ZifeOoK6GZjfup6ks1PgMKtnxNRCCCAQG0E7IJEahRuJZWwPhZ7U17Sn9I3jvpuWoZnQ0znUdtTOsf23M7Zt0lZ37z5Oh+6wFm0PQv8VXP5aHjqMuOJp66AbjbmJ566ArrZmJ+6nmRzC1C4dRsRgQACCNRKwC5GpEbhVlLx72OR12llNy3bue++t0ltYMWwGRgaFg/jKbJEd2bhaa+uvn9ktdmzZXPb5+pftNTMGlnT1le1F1l4Vs0o5PvgGaLljsXTbRQSgWeIljsWT7dRSASeIVruWDzdRkToC1C41TclIwIIIFBqAbsgkRqFW0klrI/FXqeXLe7FblqGZ6dnmp4sPJOuuq3DJmVZeKY5v2Ufi6fuGcQTT10B3WzMTzx1BXSzMT91PcnmFqBw6zYiAgEEEKiVgF2MSI3CraTi38ciL9nKFm/H142aiY3rxSDpz+vxFKmiO7PytOd2+5JTOz7X7H23S5i5cLCjvyodWXlWxSf0e+AZKtY9Hs/uPqFH8QwV6x6PZ3ef0KN4hop1j8ezuw9HsxGgcJuNK1kRQACB0grYBYnUKNxKKmF9LPaSvXyKt/bP61uLfXgme8YcycqzrpuUZeUZc26rMAZP3bOIJ566ArrZmJ946groZmN+6nqSzS1A4dZtRAQCCCBQKwG7GJEahVtJxb+PRZ6f1fjaUTN+2agYbK+8HVg5bPoXLzN4ikTRnVl61vF2CVl6Rp/kEg/EU/fk4YmnroBuNuYnnroCutmYn7qeZPMToHDr50QUAgggUBsBuyCRGoVbSSWsj8Wen5fvpmV4+nn6RmXlmXQf46pvUpaVp+/5rFocnrpnFE88dQV0szE/8dQV0M3G/NT1JJtbgMKt24gIBBBAoFYCdjEiNQq3kop/H4s8fysbmVTsa2S5bucfzOL/u7vxkseUAlnPz7pddZu1Z8rTXbrheOqeMjzx1BXQzcb8xFNXQDcb81PXk2x+AhRu/ZyIQgABBFQE9uzZYx566CFz4IEHTv6pt0pS5SR2QSI1CreSSlgfi70wL1u8vX9ktdmzZbM40BZvX/Df15u+efPF43SGCWQ5P+25rNsmZVl6hp3ZakTjqXse8cRTV0A3G/MTT10B3WzMT11PsrkFKNy6jYhAAAEEogVskfaKK64w3/72t833v/99c9ttt5m+vj7z4IMPmiOPPNKcfPLJ5oUvfKF52cteZmbMmBH9PpoD7WJEahRuJRX/PhZ5/latkbbgN75u1ExsXN/a3Xxu73s7fdOy5kGeeAvkMT/rtElZHp7eJ7cCgXjqnkQ88dQV0M3G/MRTV0A3G/NT15NsfgIUbv2ciEIAgRoL/OQnPzE7duwwRx11lHnkIx/pLfGLX/zCnHXWWeab3/ymc8wznvEMc+WVV5rjjjvOGZt1gF2QSI3CraQS1sdiL8yrNdp307LWMTwPE8h6fnK7hLDzQXS7QNbzs/3dqv8KT91zjCeeugK62ZifeOoKkC1vAQq3eYvzfgggUCqBCy64wJx//vnNz/yFL3zBvOhFL2q+Tnry9a9/3Sxbtsxs3749KaSj/9BDDzVr166dvPq242COHXZxl9Rs8bax+OPxYQaPfOfDg9+73uwcWi5Oz7se3GMef+4/mYNf9wbOS0F/Th/aepd4u4RZ519kDlpyBuetoOeN33P5/p7DG2/WV6yv+D1Q/N8D4mKUTgQyEqBwmxEsaRFAoBoCK1asMJdffnnzy7z3ve81q1evbr6WnuzevduceOKJ5o477pAOO/u++MUvmsWLFzvjsgpIKtyyiCz+IrIO/7Fni7c/eM3LzKMOlG8t0r9oqTnknf9KEbCgRcAHLv2gGb9stO3Xly26P+nmO/lHoX3/aMbvWX7P1uH3OPOcec485/d9FX4PtC1meIFAhgIUbjPEJTUCCJRfIKZw+9GPftSce+654pefOXOmOeaYY8w999xjdu3aJcYcf/zx5pZbbunZPW+7FW7FD0ynl0DjP1K8ggnqKmDve3vNaU83z5x9kBg3Y8GgOWTkIjYtE3XkzrzmZ102KcvLUz6b1evFU/ec4omnroBuNuYnnroCutmYn7qeZPMToHDr50QUAgjUVCC0cPvAAw+YxzzmMeZXv/pVm9iTn/zkydsgPOUpTzG2eLt3715j75171VVXmfPOO8/Yq3Rbmy3+nn322a1duT23CxKp2X8Zp6UTYLGXzq91tC0AXvrMheblj5jd2t18bjctm7N2jOJtU8T9JK/5WZdNyvLydJ/ZakTgqXse8cRTV0A3G/MTT10B3WzMT11PsrkFKNy6jYhAAIEaC4QWbq+//npjNxprbS95yUvMJz/5SXPQQfLVgd/97ncn74d79913N4f92Z/9mbnrrrvMgQce2OzL64ldjEiNwq2k4t/HIs/fyifSetp7pk5sWN/xp/eN8bZ4O7By2PQvXtbo4jFBIM/5WYdNyvL0TDillerGU/d04omnroBuNuYnnroCutmYn7qeZPMToHDr50QUAgjUVCC0cDs2NmbOOuusppYtvP7sZz8z8+bNa/ZJTz7/+c+bl770pW2Hbr311sl75bZ15vDCLkikRuFWUgnrY7EX5uWKbnhKhcDGWFu87V+0zAwMDTe6eEwQaHgmHFbr5nYJapS1SpTX/KwLKp66ZxpPPHUFdLMxP/HUFSBb3gIUbvMW5/0QQKBUAqGF2wsuuMCcf/75ze/4mte8xnz84x9vvk56YouiCxYsMN///vebIevXrzcvfvGLm6/zemIXd1KjcCup+PexaPa38omc7rn7hs1m18gqs3fbVnG43bRs1sga8RidprkxWF4W0u0SbJF97oZNeX2ETN9n+vzM9M1qkBxP3ZOMJ566ArrZmJ946groZmN+6nqSzU+Awq2fE1EIIFBTgdDC7atf/erJ2yI0uD73uc8Ze6sEn/ae97zHvO1tb2uGvve97zWrV69uvs7riV2QSI3CraQS1sdiL8zLFT3d017JuWNoeWLx1m5aNmfdmCttbY9P98wSog5X3ebpmeW5KkpuPHXPBJ546groZmN+4qkroJuN+anrSTa3AIVbtxERCCBQY4HQwu1zn/tc8/Wvf70pdt1115mTTz65+brbk89+9rPmzDPPbIa89rWvNZdffnnzdV5P7GJEahRuJRX/PhZ5/lY+kUmetiA4vm7UTGxcL6Zh0zKRJfcrbu2nkK66rcqV0UnzU9an1yWAp0so7DieYV6uaDxdQmHH8QzzckXj6RIKO45nmBfROgIUbnUcyYIAAhUVSFu4vfPOO82xxx7rpfOtb33LPOtZz2rGPu95zzPXXntt83VeT+yCRGoUbiWVsD4We2FerugkT1u8ZdMyl17n8STPzkidHunexNwuQce2ilnynp9VNGz9Tni2aqR/jmd6w9YMeLZqpH+OZ3rD1gx4tmrwPA8BCrd5KPMeCCBQWoHQwu1f//Vfm69+9avN7/u73/3OzJ07t/m625Mvf/nLxhZrG+2MM84wdtOyvJtdjEiNwq2k4t/HIs/fyifSx3N87agZv2xUTGcLhAMrh03/4mXi8bp1+nhqm1T5dgm98NQ+P0XKh6fu2cATT10B3WzMTzx1BXSzMT91PcnmJ0Dh1s+JKAQQqKlAaOHWFluvuuqqptZdd91l5s+f33zd7YndxMzeHqHRhoaGzKWXXtp4mdujXZBIjcKtpBLWx2IvzMsV7eNpNy3bue++t0ltYMWwGRgaTjpcq34fT20QbpegLVrdfL2Yn9XVzH9Dwipb2u/G/NQ9w3jiqSugm435qetJNrcAhVu3EREIIFBjgemFW/s/1H19fYkiDz30UNuxW2+91Zx44oltfUkvVq1aZf71X/+1efj88883IyMjzdd5PbHfUWoUbiUV/z4Wef5WPpEhnvbKTjYt664a4tk9U9jRpML67LVjZubCwbBkBYrulWeBCFQ/Cp6qnBQZdTnxxFNZQDcdvz/x1BUgWy8EKNz2Qp33RACB0ghML9yGfvBNmzaZZz/72V7Djj/+ePN///d/zdgNGzaYRYsWNV/n9cQu8KRG4VZSCetj8Rzm5YoO8WTTMpdm764Yq+pVtyHz0312iMBTdw7giaeugG425ieeugK62Zifup5kcwtQuHUbEYEAAjUWOOecc8wll1wSLeBbfL3xxhvNggULmu9jFwS/+tWvzBFHHNHsy+uJfW+pUbiVVPz7WOT5W/lExnj6FG9njawp9ZWePnZSTIynlCemr4qblPXSM+YcFH0MnrpnCE88dQV0szE/8dQV0M3G/NT1JJufAIVbPyeiEECgpgJ2o7GXvvSlZvv27cEChx9+uNmyZYt51KMe5Rz78pe/3Pz7v/97M85epWuv1u1FswsSqVG4lVTC+ljshXm5omM92bRMlo31lLP591Z1k7JeefrLlysST93zhSeeugK62ZifeOoK6GZjfup6ks0tQOHWbUQEAgjUXGDPnj3mt7/9bZCC/R90W7i1j662e/duc/DBBxv7Po32qU99ypx11lmNl7k+Jn1mCrfpTgOLvHR+00en9Uy6t2rjfeq2aVlaz4Zb7GPVbpfQa8/Y81DUcXjqnhk88dQV0M3G/MRTV0A3G/NT15NsfgIUbv2ciEIAAQQyFXjPe94zeX9bu/HZSSedZN74xjd23QQtyw9jFyRSo3ArqYT1sdgL83JFp/Vk07J24bSe7dnCXiXdLmHOvk3K+ubND0tWkOheehaEQPVj4KnKyYZaupx44qksoJuO35946gqQLW8BCrd5i/N+CCCAQMEF7OJOahRuJRX/PhbN/lY+kVqetnh7/8hqs2fLZvFtZywYNIeMXFTa4qH4pYROLU8htVdX0nnoX7TU2PsOl6312rNsXq7Pi6dLKOw4nmFermg8XUJhx/EM83JF4+kSCjuOZ5gX0ToCFG51HMmCAAIIVEbALkikRuFWUgnrY7EX5uWK1vK0RcPxdaNmYuN68S37jjp6sng4c+GgeLwqnVqesR5JV93O3bApNmVPx/Xas6dfPoM3x1MXFU88dQV0szE/8dQV0M3G/NT1JJtbgMKt24gIBBBAoFYCdjEiNQq3kop/H4s8fyufyCw867xpWRaePuexNcYW0LcvObW1a/L57H23Syhb0bwInh2QJe7AU/fk4YmnroBuNuYnnroCutmYn7qeZPMToHDr50QUAgggUBsBuyCRGoVbSSWsj8VemJcrOgtP6arPxuewV972L1pmBoaGG12VeszCMxSoSpuUFcEz1L/I8Xjqnh088dQV0M3G/MRTV0A3G/NT15NsbgEKt24jIhBAAIFaCdjFiNQo3Eoq/n0s8vytfCKz9Nx9w2aza2SV2bttq/hRynrfVfHL/KkzS89u7zv9mFQ4twXzst0uoSie033L+hpP3TOHJ566ArrZmJ946groZmN+6nqSzU+Awq2fE1EIIIBAbQTsgkRqFG4llbA+FnthXq7oLD2TNstqfKYqblqWpWfDzfVo3XcMLe8ompexWF4ET5d3mY7jqXu28MRTV0A3G/MTT10B3WzMT11PsrkFKNy6jYhAAAEEaiVgFyNSo3Arqfj3scjzt/KJzMPTZ9OyOfvuv9o3b77PRy50TB6evgBVuOq2SJ6+7kWOw1P37OCJp66AbjbmJ566ArrZmJ+6nmTzE6Bw6+dEFAIIIFAbAbsgkRqFW0klrI/FXpiXKzoPT1u8ndiw3oxfNip+HPtn/AMrh03/4mXi8TJ15uHp42HNq7BJWVE8fczLEIOn7lnCE09dAd1szE88dQV0szE/dT3J5hagcOs2IgIBBBColYBdjEiNwq2k4t/HIs/fyicyb0/pKtDG56zCpmV5ezbskh7LvklZ0TyTnMvSj6fumcITT10B3WzMTzx1BXSzMT91PcnmJ0Dh1s+JKAQQQKA2AnZBIjUKt5JKWB+LvTAvV3TennbTsp377r+a1AZWDJuBoeGkw4Xvz9uzG4hUKC/bJmVF8uxmXZZjeOqeKTzx1BXQzcb8xFNXQDcb81PXk2xuAQq3biMiEEAAgVoJ2MWI1CjcSir+fSzy/K18InvlmbR5VuMz203L5qwba7wszWOvPJOAkm6XMOv8i0pxW4qieSY5l6UfT90zhSeeugK62ZifeOoK6GZjfup6ks1PgMKtnxNRCCCAQG0E7IJEahRuJZWwPhZ7YV6u6F552qLi+LpRM7FxvfgR7ZWhZdy0rFeeIuK+zvG1ox33Fi7TVbdF80xyLks/nrpnCk88dQV0szE/8dQV0M3G/NT1JJtbgMKt24gIBBBAoFYCdjEiNQq3kop/H4s8fyufyF572uJtlTYt67WndM6TrrqdvXbMzFw4KA0pTF8RPQuDE/FB8IxA6zIEzy44EYfwjEDrMgTPLjgRh/CMQOsyBM8uOBzKTIDCbWa0JEYAAQTKKWAXJFKjcCuphPWx2AvzckUXwVO6KrTxue3VoQMrh0vxp/32MxfBs2HXeCzzJmVF9Gy4lvERT92zhieeugK62ZifeOoK6GZjfup6ks0tQOHWbUQEAgggUCsBuxiRGoVbScW/j0Wev5VPZJE8q7BpWZE8W89/WTcpK6pnq22ZnuOpe7bwxFNXQDcb8xNPXQHdbMxPXU+y+QlQuPVzIgoBBBCojYBdkEiNwq2kEtbHYi/MyxVdJE/7Z/07hpabvdu2ih+7DJuWFcmzgcjtEhoSPBZxfpb5rOCpe/bwxFNXQDcb8xNPXQGy5S1A4TZvcd4PAQQQKLiAXdxJjcKtpOLfx6LZ38onsoietshY1k3LiujZmAfS7RKKvklZkT0brmV6xFP3bOGJp66AbjbmJ566ArrZmJ+6nmTzE6Bw6+dEFAIIIFAbAbsgkRqFW0klrI/FXpiXK7qInj7F21kjawq5uVYRPe0cKOtVt0X1dP1cFfU4nrpnBk88dQV0szE/8dQV0M3G/NT1JJtbgMKt24gIBBBAoFYCdjEiNQq3kop/H4s8fyufyKJ7lm3TsqJ7Slfd9i9aamwRvIit6J5FNOv2mfDsphN+DM9ws24j8OymE34Mz3CzbiPw7KYTfgzPcDNGpBegcJvekAwIIIBApQTsgkRqFG4llbA+FnthXq7oonuWbdOyInuWcZOyInu6fraKeBxP3bOCJ566ArrZmJ946groZmN+6nqSzS1A4dZtRAQCCCBQKwG7GJEahVtJxb+PRZ6/lU9kWTxt8XbXyKrETcuKctVo0T3LdruEonv6/IwVKQZP3bOBJ566ArrZmJ946groZmN+6nqSzU+Awq2fE1EIIIBAbQTsgkRqFG4llbA+FnthXq7osnjaouP9I6vNni2bxa80Y8GgOWTkItM3b754PK/Oontyu4S8ZkIx36fo87OYasmfCs9km5gjeMaoJY/BM9km5gieMWrJY/BMtuFINgIUbrNxJSsCCCBQWgG7GJEahVtJxb+PRZ6/lU9k2TyLvmlZGTyTbj0xe+1Y4TZ7K4Onz89ZUWLw1D0TeOKpK6CbjfmJp66Abjbmp64n2fwEKNz6ORGFAAII1EbALkikRuFWUgnrY7EX5uWKLqNnkTctK4Nnma66LYOn62esSMfx1D0beOKpK6CbjfmJp66Abjbmp64n2dwCFG7dRkQggAACtRKwixGpUbiVVPz7WOT5W/lEltlT2mir8Z37jjra9C9aZgaGhhtduTyWxVOys2ZzN2zKxcn3Tcri6ft9eh2Hp+4ZwBNPXQHdbMxPPHUFdLMxP3U9yeYnQOHWz4koBBBAoDYCdkEiNQq3kkpYH4u9MC9XdJk9i7hpWRk8y7RJWRk8XT9jRTqOp+7ZwBNPXQHdbMxPPHUFdLMxP3U9yeYWoHDrNiICAQQQqJWAXYxIjcKtpOLfxyLP38onsgqeRdq0rEyeZbhdQpk8fX7eeh2Dp+4ZwBNPXQHdbMxPPHUFdLMxP3U9yeYnQOHWz4koBBBAoDYCdkEiNQq3kkpYH4u9MC9XdBU8fTYtm7Nv862+efNdHKmPl8Uz6XYJeTn5QpfF0/f79DoOT90zgCeeugK62ZifeOoK6GZjfup6ks0tQOHWbUQEAgggUCsBuxiRGoVbScW/j0Wev5VPZJU8bfF2YsN6M37ZqPjV7T1cB1YOm/7Fy8TjGp1l8ky6Url/0VIza2SNBkfqHGXyTP1lc0iApy4ynnjqCuhmY37iqSugm435qetJNj8BCrd+TkQhgAACtRGwCxKpUbiVVML6WOyFebmiq+YpXUnaMMhj07IyeUpWRdukrEyejXlW5Ec8dc8OnnjqCuhmY37iqSugm435qetJNrcAhVu3EREIIIBArQTsYkRqFG4lFf8+Fnn+Vj6RVfW0m5btHFqeSDCwYtgMDA0nHo89UDZPe9Xt9iWndnzd2ftuKzFz4WBHf94dZfPM2yf0/fAMFesej2d3n9CjeIaKdY/Hs7tP6FE8Q8W6x+PZ3Yej2QhQuM3GlawIIIBAaQXsgkRqFG4llbA+FnthXq7oqnraouSOfcXbvdu2igQzFgyaOevGxGNpOsvmWfRNysrmmWbu5DEWT11lPPHUFdDNxvzEU1dANxvzU9eTbG4BCrduIyIQQACBWgnYxYjUKNxKKv59LPL8rXwiq+5pi7fj60bNxMb1Ioe9LYDmZlxl9Czy7RLK6ClOtIJ04ql7IvDEU1dANxvzE09dAd1szE9dT7L5CVC49XMiCgEEEKiNgF2QSI3CraQS1sdiL8zLFV11T1u8zXPTsrJ5Jl2ZXJRNysrm6fp56/VxPHXPAJ546groZmN+4qkroJuN+anrSTa3AIVbtxERCCCAQK0E7GJEahRuJRX/PhZ5/lY+kXXyHF87asYvGxVZ7JW3AyuHTf/iZeJx386yehb1qtuyevrOl7zj8NQVxxNPXQHdbMxPPHUFdLMxP3U9yeYnQOHWz4koBBBAoDYCdkEiNQq3kkpYH4u9MC9XdJ0889i0rIye9qrbom5SVkZP189cL4/jqauPJ566ArrZmJ946groZmN+6nqSzS1A4dZtRAQCCCBQKwG7GJEahVtJxb+PRZ6/lU9kHT2Tbg3Q8EqzaVmZPYu4SVmZPRvzqUiPeOqeDTzx1BXQzcb8xFNXQDcb81PXk2x+AhRu/ZyIQgABBGojYBckUqNwK6mE9bHYC/NyRdfR0xZv7x9ZbfZs2Szy2OLtISMXmb5588Xj3TrL6sntErqd1eocK+v8LOoZwFP3zOCJp66AbjbmJ566AmTLW4DCbd7ivB8CCCBQcAG7uJMahVtJxb+PRbO/lU9knT1t8XZ83aiZ2LhepLL3vZ01ssbMXDgoHpc6y+yZdLuEWedflPrev5KVT1+ZPX2+X94xeOqK44mnroBuNuYnnroCutmYn7qeZPMToHDr50QUAgggUBsBuyCRGoVbSSWsj8VemJcruu6e2puWldlTsrAF7LkbNrmmUWbHy+yZGUqKxHimwBOG4imgpOjCMwWeMBRPASVFF54p8ISheAoodGUqQOE2U16SI4AAAuUTsIsRqVG4lVT8+1jk+Vv5ROK5X0lr07KyeyZddTt77VjQlcc+c88npuyePt8xzxg8dbXxxFNXQDcb8xNPXQHdbMxPXU+y+QlQuPVzIgoBBBCojYBdkEiNwq2kEtbHYi/MyxWN534hW7zdNbLK7N22VSTrX7R08tYJ4sGWzrJ7Fm2TsrJ7tkyNQjzFU/c04ImnroBuNuYnnroCutmYn7qeZHMLULh1GxGBAAII1ErALkakRuFWUvHvY5Hnb+UTiWe7UtpNy6rgWaRNyqrg2T7DevsKT11/PPHUFdDNxvzEU1dANxvzU9eTbH4CFG79nIhCAAEEaiNgFyRSo3ArqYT1sdgL83JF49kulHbTsrJ7cruE9vlQtVdln59FOx946p4RPPHUFdDNxvzEU1eAbHkLULjNW5z3QwABBAouYBd3UqNwK6n497Fo9rfyicQzWUnaqKsRbTfsGlg5bPoXL2t0TT5WxVO6XcKMBYNmzrqxtu+b9YuqeGbt5JsfT18pvzg8/Zx8o/D0lfKLw9PPyTcKT18pvzg8/ZyI0hWgcKvrSTYEEECg9AJ2QSI1CreSSlgfi70wL1c0nslC0m0DGtG2eNu/aJkZGBpudE0+VsGzSFfdVsGzbYL0+AWeuicATzx1BXSzMT/x1BXQzcb81PUkm1uAwq3biAgEEEBATeC+++4zV199tRkfHzeHHnqoWb58ubH/41+klvR5KNymO0ss8tL5TR+N53SRztchm5ZVyVO66tZ3g7ZOxbieKnnGCeiOwhNPXQHdbMxPPHUFdLMxP/HUFSBbLwQo3PZCnfdEAIHaCrz5zW82F198cfP7f+UrXzGnn35683URntgFntQo3EoqYX0snsO8XNF4uoSMsVeg7hhabvZu2yoGt95GoCqe0tXG9irjuRs2iQZZdVbFMyuf0Lx4hop1j8ezu0/oUTxDxbrH49ndJ/QonqFi3ePx7O7DUX0BCrf6pmREAAEEEgXe8IY3mNHR0ebx9evXmxe/+MXN10V4YhcjUqNwK6n497HI87fyicTTR2l/jM+mZU/6yrfNzyd2+yctcGQRbpfA/NSdIHjiqSugm435iaeugG425ieeugJk64UAhdteqPOeCCBQWwEKt7U99ZNfnMWz7vnH09/TFjMnNqw345dN/cNR62h7Reo537nRXPmbHa3dpX3O7RJKe+oSPzg/74k0UQfwjGJLHIRnIk3UATyj2BIH4ZlIE3UAzyg2BqUQoHCbAo+hCCBQfYHdu3eb2267Te2LrlmzxnzmM59p5rO3TXjOc57TfN14csABB5iTTjqpJ/e/tYsRqXHFraTi38ciz9/KJxJPH6XOGOk2Ao2opE3LGsfL9Gjv77tz3y0iprfZa8fM/2fvXsDsKMqEj5eTxGHIhYAIEoLgyl0umgCjLiwgKqIJAiOCggouyaDIAAIJwgMZBGETLsp4gUy4uEgQECOSKFlBFGFZgiGAqNyUiyHkQ24hIQwhyfiljp6Tc+ZUT73V5z19uvv8+3l2p7vq7eruX1cmxWunatj49oHF6sf0T11SPPHUFdBtjf6Jp66Abmv0Tzx1BWitEQIkbhuhzjURQCAzAuedd54555xzGnK/8+fPNwceeGDi17YDPNdG4talElbG4DnMyxeNp0/IXR+V1CxGt03qMm2dXcXDzP5s9Fe39E/droMnnroCuq3RP/HUFdBtjf6Jp64ArSUtQOI2aXGuhwACmRLo6Ogwdh7aRmxXXHGF6ezsTPzSdnAXtdnkbXHwx8+3GTzoD1n9c7B16zDz8Mc/HLlo2f+ueNNMfPy5TP95f/PWm83Kc6dW/Dpb/NYas/sfnsn0c/F7h987Wf29w30zbuD3F7+/8vJ7oGJwwQECdRYgcVtnYJpHAIFsC3zsYx8zd9xxR0Me4vLLLzfHH3984te2AyrXxmCbwXZeBts8xz+TBzZ5++dvnGJWzXP/j1M2ybnr/HvMkC23yuT/SGGf78Fdt676dXbwE8+be5a/QfJ23e96fq/ze53fh/w54PcAvwf4PRDv90DVAIMCBOokQOK2TrA0iwAC+RA44IADzJ133tmQh/nZz35mDjnkkMSvbQdvrs0O7NniCxQHxfFb4MxyATzLNeLv20XL+np7IpO3dt7b4d0zEpkXNv5TRJ/ZqOkS6J/R7yRODZ5x1KLPwTPaJk4NnnHUos/BM9omTg2ecdSiz8Ez2oaa+gmQuK2fLS0jgEAOBCZMmGB+8YtfVDyJXTTMzns7cuTIinLJwaWXXmpuv/32UmhXV5c56KCDSsfFnaFDh5r99tvP2J9Jb3ZA4tpI3LpUwsoY7IV5+aLx9AnJ6/tm9pi+WT3OE2zytm1yl2md2OGsT3OhazE2+zyj1i1S1jJmbF1vnf6py4snnroCuq3RP/HUFdBtjf6Jp64ArSUtQOI2aXGuhwACmRKYOnWqmTFjRtU9b7HFFoXyo48+uqpusIKTTjrJ9PSsT47Y+XMPPfTQwU5JvM4O7lwbiVuXiryMQbPcShKJp0RJHmM931p4n1nReVTkSVlctMx+Ufx691SzZtGCiudqnXBY4UviikLFA/qnIua6pvDEU1dAtzX6J566Arqt0T/x1BWgtUYIkLhthDrXRACBzAi88sorZtKkSZELlO29997me9/7ntl9991Fz0TiVsSU2yAGz7qvFk99z7VLFpvl65K3/UuXOBsfOq7djOqd7axLa2HUV7ej595V11umf+ry4omnroBua/RPPHUFdFujf+KpK0BrSQuQuE1anOshgEAmBez0BnZag8cee6zq/ocMGVJYROy8884zG2+8cVV9eQGJ23KN5tpn0Kz7vvGsn2fUV6rFK9rk7Yju6XWfaqB4vVp/2udZdvB+Vc2MXDddwrDx7VXlGgX0Tw3F9W3gud5CYw9PDcX1beC53kJjD08NxfVt4LneQmMPTw1F2ggVIHEbKkY8Agg0rcDq1avNZZddZr75zW+aFStWVDlsuumm5oILLjDHHXdc4Z91VgWsKyBx61JpnjIGe7rvGs/6eeZt0bJGLFJG/6xf/9RtuTlbo3/qvnc88dQV0G2N/omnrgCtJS1A4jZpca6HAAKZF1i6dKmZMmWKue6665zPssceexSmT2hvr/6Si8Stk6wpChk0675mPJPxzMuiZUlPl0D/TKZ/6l6leVqjf+q+azzx1BXQbY3+iaeuAK01QoDEbSPUuSYCCORC4J577jFf+9rXzMMPP1z1PHaQdOyxx5oLL7zQbLbZZqV6ErcliqbcYfCs+9rxTMZz9QMLMr9oWdR0CfVcpIz+mUz/1L1K87RG/9R913jiqSug2xr9E09dAVpLWoDEbdLiXA8BBHIlsHbtWnPFFVeYs88+27z66qtVzzZ69Ghz7rnnmhNOOMHYuXBJ3FYRNU0Bg2bdV41nsp42ebuye0rkomX1TIBqPWmSX93SP7Xe2j/bwRNPXQHd1uifeOoK6LZG/8RTV4DWGiFA4rYR6lwTAQRyJ/DSSy+ZM88801x55ZXmH//4R9Xz7brrrua73/2umTNnjunp6SnV2+NDDz20dJyGHTvAc22u53LFURYtwOA52iZODZ5x1KLP8XlmfdGyqK9u67VImc8z+k1Q4xLA06USvwzP+HauM/F0qcQvwzO+netMPF0q8cvwjG/HmfEESNzGc+MsBBBAwCmwcOHCwvQJCxYscNYPLCRxO1Akv8cM8nTfLZ6N8ZQsWjZq5mzTMmas7g0qtZbUImX0T6UX9q9m8MRTV0C3NfonnroCuq3RP/HUFaC1RgiQuG2EOtdEAIFcC9gvU6+55hpzxhlnmBdffHHQZyVxOyhP7ioZPOu+Ujwb42mTt6vmzjF9s9b/64HyO2nZYkvTNrnLtE7sKC9OxT7TJaTiNcS6Cf68x2KLPAnPSJpYFXjGYos8Cc9ImlgVeMZiizwJz0gaKuokQOK2TrA0iwACCCxbtsxMmzbNfP/73zd2LlzXRuLWpZLPMgZ5uu8Vz8Z7upKgxbuyydvWCR2mrbOrWJSKn1HTJQyfNl010Uz/1H3deOKpK6DbGv0TT10B3dbon3jqCtBaIwRI3DZCnWsigEBTCTzyyCPmxBNPNHfddVfVc//sZz8zhxxySFV5IwvsAM+1McetSyWsjMFzmJcvGk+fUFh9HM8sLlrWN7On6mthm2gePbf6d3SYYGV0HM/KFjgqF8CzXKP2fTxrNyxvAc9yjdr38azdsLwFPMs1at/Hs3ZDWggTIHEb5kU0AgggEFvg5ptvNrNmzTJPPfVU4QvcLbfc0vz4xz82Y8emay5IOxhxbSRuXSryMgZ5citJJJ4SJXlMLZ72K9blnUeZ/qVLnBccOq7djOqd7axrRGHUV7eai5TV4tkIk7RfE0/dN4QnnroCuq3RP/HUFdBtjf6p60lrMgEStzInohBAAIGmEbADEtdG4talElbGYC/MyxeNp08orL4WT5sM7evtMavmzXFe1H7RmqZFy5JYpKwWTydikxfiqdsB8MRTV0C3NfonnroCuq3RP3U9ac0vQOLWb0QEAggg0FQCdjDi2kjculTkZQzy5FaSSDwlSvIYDU+bvM3KomWu+Xk1p0vQ8JS/vfxH4qn7jvHEU1dAtzX6J566Arqt0T91PWlNJkDiVuZEFAIIINA0AnZA4tpI3LpUwsoY7IV5+aLx9AmF1Wt5upKixTtJy6JlTJdQfCPZ+anVP7PzxPW9Uzx1ffHEU1dAtzX6J566ArSWtACJ26TFuR4CCCCQcgE7uHNtJG5dKvIyBs1yK0kknhIleYy2p120bMW6eW+jtrZJXaatsyuqOpFy13QJWvPxansmApLii+Cp+3LwxFNXQLc1+ieeugK6rdE/dT1pTSZA4lbmRBQCCCDQNAJ2QOLaSNy6VMLKGOyFefmi8fQJhdVre9qvWtO8aFm9v7rV9gx7m/mLxlP3neKJp66Abmv0Tzx1BXRbo3/qetKaX4DErd+ICAQQQKCpBOxgxLWRuHWpyMsY5MmtJJF4SpTkMfXytMnRNC9a5vrqtnXCYWZ49ww5niOyXp6OSzVFEZ66rxlPPHUFdFujf+KpK6DbGv1T15PWZAIkbmVORCGAAAJNI2AHJK6NxK1LJayMwV6Yly8aT59QWH29PCXJW5soHTa+PeyGFaJd8/FqLVJWL0+Fx85kE3jqvjY88dQV0G2N/omnroBua/RPXU9a8wuQuPUbEYEAAgg0lYAdjLg2ErcuFXkZgzy5lSQST4mSPCYJz76ZPaZvVo/zpmyytG1yl2md2OGsr1dhvaZLSMJTYvLWW2+ZL33pS+aJJ54ohO+5557miiuukJyaqph6eC5cuNCcfvrpZtmyZaatrc2cdNJJ5ogjjkjVc9frZurhWa97zUK7eOq+JTzx1BXQbY3+qetJazIBErcyJ6IQQACBphGwAxLXRuLWpRJWxmAvzMsXjadPKKw+Cc80LlqW5+kSfvSjH5kvfvGLpY4wZswYs2TJktJxlna0++eNN95ojjzyyBKBtXnmmWfMsGHDSmV53tH2zLOV5NnwlCjJY/CUW0ki8ZQoyWPwlFsRqSNA4lbHkVYQQACB3AjYwYhrI3HrUpGXMciTW0ki8ZQoyWOS9LRfuaZp0bKoZPLImbNjT9+QpOdgb3ncuHHmwQcfLIWccsop5tJLLy0dx92xfx+sXr3aDB061LS0tMRtRnxe0XPlypXmueeeM88//7x55ZVXzBZbbGG222478853vlPcVjFwxYoVxiZrX3/99WKRsYnuo48+unSc152iZ16fL+nnwlNXHE88dQV0W6N/6nrSmkyAxK3MiSgEEECgaQTsgMS1kbh1qYSVMdgL8/JF4+kTCqtP0tMmb1/vnmrWLFrgvMmh49rNiO7ppmXMWGe9dmE9vrpN0tPl8dvf/tbsv//+FVWPP/642X777SvKQg56e3vNN7/5zYqvdjfeeGPzmc98xti6emwvvfSSufLKK803vvENM2TIELN27dqqy2y00UbGJqnPP/988+EPf7iqPqqgs7Oz4r5tGw888EBUeK7KG90/c4W57mHw1H2jeOKpK6DbGv1T15PW/AIkbv1GRCCAAAJNJWAHI66NxK1LRV7GIE9uJYnEU6Ikj2mEZ5oWLdNepKwRngPf9qc//Wlz6623loo/8pGPmF//+tel49CdJ5980uyyyy7Gzps7cNtss83MCy+8MLC4pmN7nfPOO8985zvfqfgq1teonf7gu9/9rtl00019oWbRokVm/PjxFXE24b3vvvtWlOXtIA39M0+meOq+TTzx1BXQbY3+qetJazIBErcyJ6IQQACBphGwAxLXRuLWpRJWxmAvzMsXjadPKKy+UZ5pWLSsHouUNcrTvvWnn37abLvttqa/v7/UCW666SZz+OGHl45Ddz75yU+a2267zXlaPRK3hx56qLnllluc1/MVHnzwwebnP/+5L6xQv9dee5nf//73pdiOjg5z8803l47zutOmMu3sAABAAElEQVTI/plHUzx13yqeeOoK6LZG/9T1pDW/AIlbvxERCCCAQFMJ2MGIayNx61KRlzHIk1tJIvGUKMljGu3p+uK1ePctW2xpWid0mLbOrmJRXX5qTpfQaM8ZM2aYqVOnlpze8Y53mKVLl8ZeeMt+uWu/4I3atBO39u8bu0jYwGkR2trazE477VRISr/66qvmD3/4Q+SXvv/93/9dsTBb1L3PnDnTHH/88aXqDTbYwLz44otmxIgRpbK87TS6f+KZNwHd56F/4qkroNsa/VPXk9ZkAiRuZU5EIYAAAk0jYAckro3ErUslrIzBXpiXLxpPn1BYfaM97SJhK7unmP6lS5w33jrhMDO8e4azTqPQlTy2SeNR6xYpizPXbiM929vbzf33319i+dznPmeuv/760nHIzptvvmne9773maeeeiryNO3E7Zo1ayqSzDvuuKN57LHHjF2cbMMNNyzdh42zi61NmzbN2Pss32yC989//nN5kXPfLna21VZbVdTdcMMN5ogjjqgoy9tBI/tn3izt8+Cp+1bxxFNXQLc1+qeuJ635BUjc+o2IQAABBJpKwA5GXBuJW5eKvIxBntxKEomnREkekxbPRi5aFnXtOAnjRnouXrzYvPvd7654+dKvTytO+teBnWf2nHPOKVXZL1I//vGPV8yfq524tRezXwnbzSZlTzrpJDPY30GXXXaZOfnkkwvxxf83dOjQwty4ra2txaLIn3bu3j/96U+lejulhJ1aIq9bI/tnHk3x1H2reOKpK6DbGv1T15PWZAIkbmVORCGAAAJNI2AHJK5tsP9odsVTVi3AYK/apJYSPGvRqz43LZ6SRcvifgVb/dSVJVFf3Y6ee1dloOCoUZ52Ma9TTjmldIf2Puw0CZtvvnmpTLrz7LPPFqYm6OvrK51y9tlnmxUrVhQWDSsW1iNx+9JLLxk7NcLw4cMLlxnM006p8J73vMfYpHX59tBDD5ndd9+9vMi5f9ppp5lLLrmkVGevaadLsNfP6zaYZ16fuZ7PhaeuLp546grotkb/1PWkNb8AiVu/EREIIIBAUwnYwYhrI3HrUpGXMciTW0ki8ZQoyWPS5mmTt6vmzjF9s3qcD2GnMGib3GVaJ3Y46+MW2usuO3i/qtNHrpsuYdj49qryqIJGeu6///7mt7/9benWPvCBD5hFixaVjkN27EJdc+bMKZ2y9dZbm0cffdSceeaZdU/cli66bkfiOWHCBPOLX/yi/DTzy1/+0hx00EEVZa6DO+64w3zsYx+rqLLz+k6cOLGiLC8HEs+8PGsSz4GnrjKeeOoK6LZG/9T1pDWZAIlbmRNRCCCAQNMI2AGJayNx61IJK2OwF+bli8bTJxRWn0ZP1xewxaeq16JlWouUNcKzv7/fjBo1qjAXbNHp1FNPNRdffHHxUPzz9ttvL0yJUH7CT3/6U3PYYYcVvui1X/YWt3p8cVtsu/jT5zkwYW3Ps4uX7brrrsUmIn+uWrXKjBw50qxevboUY5PT3/rWt0rHedvxeebteev9PHjqCuOJp66Abmv0T11PWvMLkLj1GxGBAAIINJWAHYy4NhK3LhV5GYM8uZUkEk+JkjwmzZ5JL1rmShbbJHHIdAmN8rSLcdmFxMq3a665xhxzzDHlRd59m8DcbbfdCguCFYPtF6m/+tWvCod2KoYkE7c+T/v30yabbGKWLVtWvN3Cz4GLmVVUDjiwbuWLmR144IFm/vz5A6LycejzzMdTJvcUeOpa44mnroBua/RPXU9akwmQuJU5EYUAAgg0jYAdkLg2ErculbAyBnthXr5oPH1CYfVp9rRTGCzvPMr0L13ifKih49rNqN7ZzrrQwqjpEkIXKWuE57XXXmu+9KUvVTzyggULzF577VVR5juwX+iefvrppbBhw4YVvl7dcccdC2VJJ27tRQfz/P73v2++9rWvle7X7tjE88MPP1xRNtjBZz/7WfOTn/ykFLLpppsW5rktFeRsZzDPnD1qIo+Dpy4znnjqCui2Rv/U9aQ1vwCJW78REQgggEBTCdjBiGsjcetSkZcxyJNbSSLxlCjJY7LgaROqfb09ZtW89XOulj+h/SpWa9GyWr+6bZTnSSedZHp6KucFXr58eWEagHKrwfbtQmY77LBDYQGyYpxdvOuiiy4qHiY+VcJgnvfff7/Zd999zZtvvlm6P7tz0003mcMPP7yibLCD7u5uc+6551aEPPPMM8bO65u3bTDPvD1rEs+Dp64ynnjqCui2Rv/U9aQ1mQCJW5kTUQgggEDTCNgBiWsjcetSCStjsBfm5YvG0ycUVp8FT5u8TWLRsqivbkMWKWuE5z777GPuueee0ovfaqutzN/+9rfSsWTn6KOPNrNnr/96eYsttjCPP/54RfI3DV/cLl682Jx//vnmqquuMmvXrq14NJvI/c1vflP4SreiYpAD+7Wt/eq2fPvZz35mDjnkkPKi3Ow3on/mBs/xIHg6UGoowrMGPMepeDpQaijCswY8To0lQOI2FhsnIYAAAvkVsIMR10bi1qUiL2OQJ7eSROIpUZLHZM2zb2aP6ZtV+WVp8Wntl7dtk7tM68SOYlGsn7UsUtYoz+2228785S9/KT2vXbDrzjvvLB37dmzS1yZ/y7frrrvOHHXUUeVFiX5xe8stt5hDDz3UfPrTnzb27yH7RfCTTz5ZNZ9t8QYnTJhQ+Nq2ra2tWCT6+eCDD5px48ZVxF5++eXm+OOPryjLw0Gj+mce7FzPgKdLJX4ZnvHtXGfi6VKJX4ZnfDvOjC9A4ja+HWcigAACuRSwAxLXRuLWpRJWxmAvzMsXjadPKKw+a5520bIV6+a9jdraJnWZts6uqGpveRanS3jHO95hXnnlldKz2YTnnDnuqSVKQf/asV+tjh8/vmJe2L333tvcfffdA0MTTdzar2d/97vfVd3DwAKbqL3kkkvMpEmTzNChQwdWe4+ffvpp82//9m8VcRdeeKE544wzKsrycpC1P+9pd8dT9w3hiaeugG5r9E9dT1rzC5C49RsRgQACCDSVgB2MuDYSty4VeRmDPLmVJBJPiZI8JquedkqDei1aFjVdwvBp071f8zbCs7+/39hFxOzP4mYXKvvhD39YPBz058AFvoYMGWIeeOABs/vuu1edl+RUCR/+8IfN//3f/1Xdg6vALijW0dFhpk+fbjbaaCNXSGTZyy+/bOz55duUKVMKbZWX5WG/Ef0zD25Rz4BnlEy8cjzjuUWdhWeUTLxyPOO5cVZtAiRua/PjbAQQQCB3AnZA4tpI3LpUwsoY7IV5+aLx9AmF1WfV0yZY67VomWtKBjsVw+i5d3lxk/Z89dVXzSabbFJxXyeeeGLVYmUVAf86eOmll8z2229vbBvF7YQTTjDf+973iocVP5NM3NqF0eyXtCGbndv32muvNfvtt5/4tNWrV5u3v/3tFfH2693e3t6KsrwcJN0/8+IW9Rx4RsnEK8cznlvUWXhGycQrxzOeG2fFFyBxG9+OMxFAAIFcCtjBiGsjcetSkZcxyJNbSSLxlCjJY7LuKUneDu+eYYaNb5ejrIuM+urWt0hZIzyfeuop8973vrfi+c4880zzrW99q6LMdTB58mQza9asUpX98vSJJ54wG2+8camsfCfJxK29rvV87bXXCrewfPly8+yzz5pnnnnG3Hfffebqq682b7zxRvntFfbt1AkPPfRQISFdVRlRYM958803S7VHHHGEueGGG0rHedlpRP/Mi53rOfB0qcQvwzO+netMPF0q8cvwjG/HmfEFSNzGt+NMBBBAIJcCdkDi2kjculTCyhjshXn5ovH0CYXV58HT9YVsUSHuomVxFylL2tMmWnfYYYfi4xZ+nnXWWeb888+vKBt4sHDhQtPe3l4xxYL9ytR+bRq1JZ24tfcR5fniiy8WktOXXXZZ1e3aaRbsHL0tLS1Vda6CDTfc0PT19ZWqvvzlL5urrrqqdJynnSjPPD1jks+Cp642nnjqCui2Rv/U9aQ1vwCJW78REQgggEBTCdjBiGsjcetSkZcxyJNbSSLxlCjJY/Lkqb1oWZxFyhrh+cILL5h3vetdFS+9q6vLuBKa5UEf+chHzG9+85tS0R577GEWLFgwaLIz6cStxPMrX/mKueKKK0rPUdyxzyaZMsEuzjZwUbNjjjnGXHPNNcWmcvNT4pmbh03gQfDURcYTT10B3dbon7qetCYTIHErcyIKAQQQaBoBOyBxbSRuXSphZQz2wrx80Xj6hMLq8+RppzgYbNGy1gmHGTt1gmTLynQJq1atMhtssEHFI/kSj655cW0DA7/crWh03cHf//73ivlw7UJm2267bSnM7t96662DJn9LwcIdX/9cs2aN2XHHHc1f//rXihYvvvhic+qpp1aUuQ5cFieffLL59re/7QrPfJnPM/MPmPAD4KkLjieeugK6rdE/dT1pzS9A4tZvRAQCCCDQVAJ2MOLaSNy6VORlDPLkVpJIPCVK8pg8etqE6+vdU82aRQucEEPHtZsR3dNNy5ixzvryQtd0Cfb8Ub2zy8NK+43yHDhH62GHHWZ++tOflu5r4M6TTz4ZNAfswPMHO7ZtlydzB4v11Uk97dQGA7+QlU53YOfN3WabbSpupbu720ybNq2iLA8HUs88PGsSz4CnrjKeeOoK6LZG/9T1pDWZAIlbmRNRCCCAQNMI2AGJayNx61IJK2OwF+bli8bTJxRWn0dPm7zt6+0xq+bNcWLYeW8li5bF+eq2EZ5bbLGF+X//7/+VnvWAAw4wd9xxR+l44I5rQbOBMXGPn3766apEaNy27HkSzwsuuMDYeX3Lt+OOO65i4bXyuvL9P/zhD2b33XcvLzLf+c53zEknnVRRlpcDiWdenjWJ58BTVxlPPHUFdFujf+p60ppfgMSt34gIBBBAoKkE7GDEtZG4danIyxjkya0kkXhKlOQxeffUWLTM9dVt1JQLjfJ83/veZ/785z+XXvx73vMeY5OzUZudXuG9732vWbJkSVRIrHL75epjjz1mWltbY50/8CSpp11Q7corr6w43SZzv/GNb1SUuQ5+/vOfm0MOOaSi6tprrzVf+MIXKsrycCD1zMOzJvEMeOoq44mnroBua/RPXU9akwmQuJU5EYUAAgg0jYAdkLg2ErculbAyBnthXr5oPH1CYfV593QtMlYUsl/etk7oMG2dXcWiqp+u8+15o+feVRVrCxrhefjhh5ubb765dD/2HlasWGGGDx9eKhu409/fb958882BxYMeT5061Xzve98rxYwePboi+WsTtnbeW83N59nX12ds4tp+6Vu+zZ8/3xx44IHlRc79Cy+80Jx55pkVdQsXLjTjx4+vKMvLgc8zL8+Z1HPgqSuNJ566Arqt0T91PWnNL0Di1m9EBAIIINBUAnYw4tpI3LpU5GUM8uRWkkg8JUrymGbxXP3AArOye4rpX+r+wjTqC1orGTJdQqM8XVMF/P73vzd77LGHvDMIIk855ZTCNALF0M0228y88MILxcPIn5dffrm54YYbzOuvv25GjBhhvva1rxmbbB642XllH3jggcKiYvvvv78oCX7iiSdWJJOLbdr7svfn244++mgze/b6OYuHDRtWSHprfTXsu36S9Y3qn0k+Y5LXwlNXG088dQV0W6N/6nrSmkyAxK3MiSgEEECgaQTsgMS1kbh1qYSVMdgL8/JF4+kTCqtvFs9aFi1L+3QJt912m/nkJz9Z8eJ/+MMfmi996UsVZbUexEncrl692tjF09auXVu6/JgxYyq+1C1W7LLLLuZPf/pT4fA//uM/zOTJk41NrLr+Hlq8eLGxXwD/+Mc/Lp5e+tnR0VHxBXKpwrEzbtw48+CDD5ZqdtttN/Pwww+XjvO20yx/3pN6b3jqSuOJp66Abmv0T11PWvMLkLj1GxGBAAIINJWAHYy4Ntd/MLviKHMLMMhzu8QtxTOunPu8ZvOULFo2auZs0zJmbAWYa7oEGzByXeyw8e2l2EZ52oXJ7AJl5dtpp51mLrroovKimvfjJG5ffPHFqi9ft9xyS/Pcc89V3c/2229vnnzyyYpyO92D/XLYzttrn9G2Z2Puv/9+Y6dJGLi9+93vNg899JDZeOONB1ZVHdtk8siRIyvaOeaYY8w111xTFZuHgkb1zzzYuZ4BT5dK/DI849u5zsTTpRK/DM/4dpwZX4DEbXw7zkQAAQRyKWAHJK6NxK1LJayMwV6Yly8aT59QWH2zedrk7aq5c0zfrB4nlJ2/tm1yl2md2FFRL/3qtlGeNhn6/PPPl+55zz33LCQ3SwUKO1qJ20022cS8/PLLVXd0wAEHmDvvvLOqXFpg59f97W9/a/bee2/RKffdd5/50Ic+VBHb09Nj7PQLed0a1T/xzKuA7nPRP/HUFdBtjf6p60lrfgESt34jIhBAAIGmErCDEddG4talIi9jkCe3kkTiKVGSxzSzZ9RXtFbPtWiZK37gImWN9DzuuOPMVVddVXr5LS0thflnN91001JZrTtaiVu78JddAGzgZue3Peqoo8zjjz8+sMp7/PGPf7zwhbGd6kC6nXvuuaa7u7si/IknnjDbbbddRVleDhrZP/NiWP4ceJZr1L6PZ+2G5S3gWa5R+z6etRvSQrgAidtwM85AAAEEci1gBySujcStSyWsjMFemJcvGk+fUFh9M3vaRctWdB4VCdY2qcu0dXYV6qWLlDXK0zXP7fXXX28+97nPRT5faMWFF15ozjzzzNJpu+66q/nDH/5QOnbtzJ8/3xx00EEVVWeddZY5//zzK8qKB/39/cY+y7XXXlv4evbvf/97sarqp53mYPfddzfnnHOO+djHPlZV7yuwX9var26Lm+R5irFZ/dmo/plVL9994+kTCqvHM8zLF42nTyisHs8wL6JrFyBxW7shLSCAAAK5ErCDEddG4talIi9jkCe3kkTiKVGSx+BpjE3ILl+XvO1fusQJN3RcuxnVO7tQ55suoZGeb731VmEu2ddee630HHZxMrtImeZmE6krVqwwra2thTln7fQEg2377LOPueeee0ohI0aMMPar1oFz8pYCynas52OPPWaeffZZY69rp1cYNWpU4YtY+1Xs5ptvXhYdtvvqq6+ad77znRWLpk2bNq3qC9ywVtMd3cj+mW6ZeHeHZzy3qLPwjJKJV45nPLeos/CMkqG8ngIkbuupS9sIIIBABgXsgMS1kbh1qYSVMdgL8/JF4+kTCqvH85/J277eHrNq3hwnnp0SwS5aZr/QXXnu1IqYt40YaYZs817T//KLheTv4rfWmK233nrddAtjzZAxW5q3r5srt3wBs4qTlQ++8IUvmOuuu67U6rve9S6zZMkSY6dNaMR21113mf3226/i0t/+9rfNySefXFE22EG9+ueNN95ojjzyyIpL26+H7Ve3ed7q5Zlns8GeDc/BdMLr8Aw3G+wMPAfTCa/DM9yMM2oTIHFbmx9nI4AAArkTsIMR10bi1qUiL2OQJ7eSROIpUZLH4LneSrJo2Qaf/YJ56+7fmDWLFqw/UbBnE7+uBc8EpwaF/PznPzeHHHJIxTl2qoIDDzywoiypAzt9wR133FG63L//+7+b3/3ud+JEcj3756c+9Snzy1/+snRv9gte+yVwnrd6eubZLerZ8IySiVeOZzy3qLPwjJKJV45nPDfOqk2AxG1tfpyNAAII5E7ADkhcG4lbl0pYGYO9MC9fNJ4+obB6PCu9+mb2mL5ZPZWF/zpqeee71n2eu7bwda0zwFNop10Y0T3dtIwZ64mMV7127Vqz7bbbmmeeeabUwGc+8xnzk5/8pHSc1M6CBQvMBz/4wdLl2trazEMPPWS23377Uplkpx79c/HixWabbbYxdj7d4nbZZZeZrq5/zmdcLMvjz3p45tFJ+kx4SqVkcXjKnKRReEqlZHF4ypyI0hMgcatnSUsIIIBALgTsYMS1kbh1qcjLGOTJrSSReEqU5DF4uq18i5a5z5KV1vvr2+9+97sVCchhw4YVpkuw87kmuR188MFm7ty5pUtecskl5utf/3rpWLJTr/557rnnVsxlu/HGGxubzB0+fLjktjIbUy/PzILUeON41gg44HQ8B4DUeIhnjYADTsdzAAiHiQiQuE2EmYsggAAC2RGwAxLXRuLWpRJWxmAvzMsXjadPKKweT7eXb9Ey91my0nomb9944w3z7ne/u7CQV/FuLr74YnPqqacWD+v+0y4ottNOO5Wu8+EPf9jcfffd4ikSSieu29Hun/YrW/u1rU3UFrezzjrLnH/++cXDXP/U9sw1luDh8BQgBYTgGYAlCMVTgBQQgmcAFqEqAiRuVRhpBAEEEBhc4M033zQ/+MEPzL333msWLVpk1qxZYzbddFPzgQ98wIwbN87Y+f9C/9no4FeMX2sHI66NxK1LRV7GIE9uJYnEU6Ikj8FzcCubvH3jO/9l3rpz/uCBMWqLC57VY9qEc845x5x33nmlu9pll13MI488Ujqu984f//hHM3ny5MLfeTaJfOmllxaSyaHXrUf/vP32283HP/7x0q20traaZ5991my++ealsrzu1MMzr1aS58JToiSPwVNuJYnEU6Ikj8FTbkWkngCJWz1LWkIAgSYQWLZsmbGrTdv/GP3LX/5iNtpoo8I8gu973/vM+9//fqeAnd/vmGOOMfbLo6jN/gfjjBkzKv5Za1RsvcvtgMS1kbh1qYSVMdgL8/JF4+kTCqvHc3Cv5cd8xqz540ODB8WstXPejuqdHfPs6NNefPHFwt9Nzz//fCFoyy23NM8991z0CSmu0e6fN910kzniiCNKTzxlyhQzffr00nHed7Q98+7lez48fUJh9XiGefmi8fQJhdXjGeZFdO0CJG5rN6QFBBBoAgH7TyrtvHxnn322WbVqlfOJ991338KXTfvss0+p3i7A0t7ebt56661S2WA7EyZMMNdee62x8+w1arODEddG4talIi9jkCe3kkTiKVGSx+A5uNWquT81K8+dOnhQjbXDp003rRM7amyl+nT7u/uVV14pTDVg/8fGIUOGVAelvKRe/fP11183fX19ZsMNN8z9vLblr7henuXXaKZ9PHXfNp546grotkb/1PWkNZkAiVuZE1EIINDEAitWrDCf+MQnCtMc+BjsX+bXX3+9OfLII42dHmGPPfYwf/rTn3ynVdRPmjTJ9Pb2VpQleWCfwbWRuHWphJUx2Avz8kXj6RMKq8cz2mvZxH1N/9Il0QEKNXbKhNFz71JoKZ9N0D913yueeOoK6LZG/8RTV0C3Nfqnriet+QVI3PqNiEAAgSYXOOOMM4L++aRdufuOO+4ozGV7yimnBOvZr6HsdAw777xz8LkaJ9jBiGsjcetSkZcxyJNbSSLxlCjJY/CMtrLz2y47eL/oAMWakTNnm2Hj2xVbzEdT9E/d94gnnroCuq3RP/HUFdBtjf6p60lrMgEStzInohBAoEkFnnrqqUICNWp6hCiW4oInv/rVrypCPvKRjxTm1LPz4dr5cu1iZRdddJGxq3+Xb3bKhLlz55YXJbZvBySujcStSyWsjMFemJcvGk+fUFg9nm6vvpk9pm9Wj7tSubR1wmFmePcM5Vbz0Rz9U/c94omnroBua/RPPHUFdFujf+p60ppfgMSt34gIBBBoYoHTTz/dXHzxxVUCBxxwQGE16g022KCwQvdtt91mliwZ/J/RnnbaaYUvd1taWirae/LJJ82hhx5aNaWCXd3arsKd9GYHI1GbTd4WByv8fJvBg/7An4P8/zl4bdLnzZpFC6J+LaqW/++KN83Ex5/j9+y6v4f4/crvV36/8ueA3wP8Hkjr7wHVv/xpDAGPAIlbDxDVCCDQ3AITJ0408+bNKyHYpOvs2bMLc9iWCtft2K9n7dy0N998c3lxaf8zn/mM+clPflI6HrizYMEC86EPfajwH6rFuttvv9189KMfLR4m9tMOkFwbg2cGz2kdPHNf/Md9PX8/PbzbNmartw91/VpUL7Pz3G4873ckLfkfCUnek7zn9wC/B/g9kPLfA+qDABpEIEKAxG0EDMUIIICAFdhxxx3N448/XsI46aSTzHe+853S8cAdu4jZ//zP/wwsNg8++KCx0yMMtn32s5+tSO7+4Ac/MF/5ylcGO6UudYMlbutywSZptJhcbJLHrftj4qlLjGe05yt7bBtdqVzDAmVuUPqn2yVuKZ5x5dzn4el2iVuKZ1w593l4ul3iluIZV47zahEgcVuLHucigECuBdauXWva2trM6tWrS8/59NNPm2222aZ0PHDnkUceKSRo+/v7S1V77723ufvuu0vHUTuXXXaZOfnkk0vVX//6180ll1xSOk5qxw5IXJv9oo2tNgEGe7X5DTwbz4EitR3j6fZLMnFr72CThX9x30iTl9I/dTsAnnjqCui2Rv/EU1dAtzX6p64nrfkFSNz6jYhAAIEmFejr6zMbbrhh6eltEnflypWFf7ZUKnTs7LPPPuaee+4p1UyePNnMnDmzdBy188tf/tJ86lOfKlV/+tOfNrfcckvpOKkdOxhxbSRuXSryMgZ5citJJJ4SJXkMntFWyybua/qXDj6HefTZYTV8cev2on+6XeKW4hlXzn0enm6XuKV4xpVzn4en2yVuKZ5x5TivFgESt7XocS4CCOReYNSoUWbFihWF55Qmbv/zP//TXH311SWbb33rW+bMM88sHUft3HnnncYuelbc7Py6t956a/EwsZ92QOLaSNy6VMLKGOyFefmi8fQJhdXj6fZaPvmoxBYnGzqu3Yzqne2+kSYvpX/qdgA88dQV0G2N/omnroBua/RPXU9a8wuQuPUbEYEAAk0ssMMOO5gnnniiJOCbKsEGXnjhhRWJ2h/96Efm6KOPLrURtXPNNdeYL3/5y6Vqu3/VVVeVjpPasYMR10bi1qUiL2OQJ7eSROIpUZLH4BlttWruT83Kc6dGByjWtE3qMm2dXYot5qMp+qfue8QTT10B3dbon3jqCui2Rv/U9aQ1mQCJW5kTUQgg0KQCdrqC8q9ebXL1mGOOGVTj8ssvN1/96ldLMTfddJM5/PDDS8dRO2eddZa54IILStVnnHFGIQlcKkhoxw5IXBuJW5dKWBmDvTAvXzSePqGwejzdXv3PP2eWHbyfu1K5dPStvzUtY8Yqt5qP5uifuu8RTzx1BXRbo3/iqSug2xr9U9eT1vwCJG79RkQggEATC/T29prOzs6SwLhx48wDDzxQOnbtxE3c7rbbbsYublbcJEniYqzmTzsYcW0kbl0q8jIGeXIrSSSeEiV5DJ6DWyUxXcLbRow0G//2wcFvpElr6Z+6Lx5PPHUFdFujf+KpK6DbGv1T15PWZAIkbmVORCGAQJMKLF261Lz73e82a9asKQnYRcQOOuig0vHAnSuvvNJMmjSpVGwXGLNf7g622YStTdyWb5JpGcrjtfbtgMS1kbh1qYSVMdgL8/JF4+kTCqvHM9orqekSmOM2+h3QP6Nt4tTgGUct+hw8o23i1OAZRy36HDyjbeLU4BlHjXNqESBxW4se5yKAQFMIDFxsbPvttzd//OMfzbBhw5zPv3LlSmOTty+//LLZaqutzLHHHmuGDh3qjC0WDrzGdtttVzG3bjEuiZ92MOLaSNy6VORlDPLkVpJIPCVK8hg8/VZJfHVr76Jliy3NqJmzmTKh7JXQP8swFHbxVEAsawLPMgyFXTwVEMuawLMMQ2EXTwVEmggWIHEbTMYJCCDQbAJ/+9vfCl/Dvvbaa6VHv+GGG8wRRxxROq5l56mnnjJ2EbTyr3pnzJhhTj/99FqajX2uHZC4NhK3LpWwMgZ7YV6+aDx9QmH1eA7uZee6Xd55lOlfumTwQIVam7xtm9xlWid2KLSWjybon7rvEU88dQV0W6N/4qkroNsa/VPXk9b8AiRu/UZEIIAAAuaee+4xl156qbHJ2+HDh5vu7m5j57vV2L75zW+aadOmlZrabLPNzOOPP25Gjx5dKktyxw5GXBuJW5eKvIxBntxKEomnREkeg6fMavUDC8yKdcnbJDaSt+uV6Z/rLTT28NRQXN8GnustNPbw1FBc3wae6y009vDUUKSNUAESt6FixCOAAALKAo8++qi5+uqrTV9fXyFZ+/nPf97svPPOyleRN2cHJK6NxK1LJayMwV6Yly8aT59QWD2eMi+bvF3ZPUXly9uR66ZEsNtgyeC2SV2mrbNLdnM5jqJ/6r5cPPHUFdBtjf6Jp66Abmv0T11PWvMLkLj1GxGBAAIINJWAHYy4NhK3LhV5GYM8uZUkEk+JkjwGT7mVjbTTJrzePdWsWbQg7MR/RdtFyEZ0Ty/NY+ubhqHZFy2jf8bqZpEn4RlJE6sCz1hskSfhGUkTqwLPWGyRJ+EZSUNFHQVI3NYRl6YRQACBLArYAYlrI3HrUgkrY7AX5uWLxtMnFFaPZ5iXjV4196fr/m9OcALXfmk7bHx7xQV9yeCByd6Kk5vggP6p+5LxxFNXQLc1+ieeugK6rdE/dT1pzS9A4tZvRAQCCCDQVAJ2MOLaSNy6VORlDPLkVpJIPCVK8hg85VauSJt0tVMo2CRu/9LnStMo2Hlq//H6CvOPFcsrTmudcJgZ3j2joswe2Hb6envMqnlzqupsgW3Pnjcw6esMzlEh/VP3ZeKJp66Abmv0Tzx1BXRbo3/qetKaTIDErcyJKAQQQKBpBOyAxLWRuHWphJUx2Avz8kXj6RMKq8czzMsXXfS0X+WuPHdqRbhNwI5a99Vty5ixFeXFg76ZPaZvVk/xsOJnsy5aVvSswOAgtgCesemcJ+LpZIldiGdsOueJeDpZYhfiGZuOE2MKkLiNCcdpCCCAQF4F7GDEtZG4danIyxjkya0kkXhKlOQxeMqtJJHlnlFTIER9dVts337By6Jl/9Qo9yz68DO+AJ7x7Vxn4ulSiV+GZ3w715l4ulTil+EZ344z4wuQuI1vx5kIIIBALgXsgMS1kbh1qYSVMdgL8/JF4+kTCqvHM8zLF13uGfXV7ei5dw3ajE3eruyeUpp6YWCwL/k7MD7Lx+WeWX6OtNw7nrpvAk88dQV0W6N/4qkrQGtJC5C4TVqc6yGAAAIpF7CDO9dG4talIi9j0Cy3kkTiKVGSx+Apt5JEDvS0X90uO3i/qlNdi5QNDIr6YrcY1wyLlg30LD47P+MJ4BnPLeosPKNk4pXjGc8t6iw8o2TileMZz42zahMgcVubH2cjgAACuROwAxLXRuLWpRJWxmAvzMsXjadPKKwezzAvX/RAz+WTjzJrFi2oOE36xSyLlhkz0LMCkoNgATyDyQY9Ac9BeYIr8QwmG/QEPAflCa7EM5iME2oUIHFbIyCnI4AAAnkTsIMR10bi1qUiL2OQJ7eSROIpUZLH4Cm3kkS6PONOl1B+vWZdtMzlWe7CfpgAnmFevmg8fUJh9XiGefmi8fQJhdXjGeZFtI4AiVsdR1pBAAEEciNgBySujcStSyWsjMFemJcvGk+fUFg9nmFevuiBnlHTJbRN6jJtnV2+5kr1rgRwsbJliy1N64SOoPaK56b950DPtN9v2u8PT903hCeeugK6rdE/8dQVoLWkBUjcJi3O9RBAAIGUC9jBnWsjcetSkZcxaJZbSSLxlCjJY/CUW0kiozxdSVebbPUtUjbwms22aFmU50AXjmUCeMqcpFF4SqVkcXjKnKRReEqlZHF4ypyI0hUgcavrSWsIIIBA5gXsgMS1kbh1qYSVMdgL8/JF4+kTCqvHM8zLF+3yjPrqVrJI2cDr2baWdx5l+pcuGVhVOLaLlo3qne2sy2KhyzOLz5GWe8ZT903giaeugG5r9E88dQVoLWkBErdJi3M9BBBAIOUCdnDn2kjculTkZQya5VaSSDwlSvIYPOVWksjBPGtZpGzgtSWLlo2aOdu0jBk78NRMHQ/mmakHScnN4qn7IvDEU1dAtzX6J566ArTWCAESt41Q55oIIIBAigXsAM+1kbh1qYSVMXgO8/JF4+kTCqvHM8zLFx3lqTVdQvH6Nnm7au4c0zerp1hU8dNOxdA2ucu0TuyoKM/aQZRn1p4jLfeLp+6bwBNPXQHd1uifeOoK0FrSAiRukxbneggggEDKBezgzrWRuHWpyMsYNMutJJF4SpTkMXjKrSSRg3lGTZcwfNr0mpKrroRw8V6zvmjZYJ7FZ+SnXABPuZUkEk+JkjwGT7mVJBJPiZI8Bk+5FZF6AiRu9SxpCQEEEMiFgB2QuDYSty6VsDIGe2Fevmg8fUJh9XiGefmiB/Psm9lT9YVsnEXKBt6DXbRsxbp5b6O2tkldpq2zK6o61eWDeab6xlN6c3jqvhg88dQV0G2N/omnrgCtJS1A4jZpca6HAAIIpFzADu5cG4lbl4q8jEGz3EoSiadESR6Dp9xKEunzjPrqNs4iZQPvx7adt0XLfJ4DDTgeXADPwX1Ca/EMFRs8Hs/BfUJr8QwVGzwez8F9qK2PAInb+rjSKgIIIJBZATsgcW0kbl0qYWUM9sK8fNF4+oTC6vEM8/JF+zw1FykbeC82edvX22NWzZszsKpwbL/uzdqiZT5P54NSGCmAZyRNrAo8Y7FFnoRnJE2sCjxjsUWehGckDRV1EiBxWydYmkUAAQSyKmAHI66NxK1LRV7GIE9uJYnEU6Ikj8FTbiWJlHi65qTVmC6heH+S5O3w7hlm2Pj24imp/SnxTO3Np/DG8NR9KXjiqSug2xr9E09dAVprhACJ20aoc00EEEAgxQJ2gOfaSNy6VMLKGDyHefmi8fQJhdXjGebli/Z51nO6hPJ7c82nW6y3ieK2yV01LYpWbKveP32e9b5+3trHU/eN4omnroBua/RPPHUFaC1pARK3SYtzPQQQQCDlAnZw59pI3LpU5GUMmuVWkkg8JUryGDzlVpJIqadruoSh49rNqN7ZksuIY7K+aJnUUwzS5IF46nYAPPHUFdBtjf6Jp64ArTVCgMRtI9S5JgIIIJBiATvAc20kbl0qYWUMnsO8fNF4+oTC6vEM8/JFSzyT+urW3qu9VpYXLZN4+t4J9esF8FxvobGHp4bi+jbwXG+hsYenhuL6NvBcb8FeMgIkbpNx5ioIIIBAZgTsYMS1kbh1qcjLGOTJrSSReEqU5DF4yq0kkSGerq9uWyccZuz8s9qbTd6+3j3VrFm0wNm0/dp3RPd00zJmrLO+UYUhno26xyxdF0/dt4UnnroCuq3RP/HUFaC1RgiQuG2EOtdEAAEEUixgB3iujcStSyWsjMFzmJcvGk+fUFg9nmFevmipZ70XKRt4nzZ529fbY1bNmzOwqnBs571N46JlUk/nQ1FYJYBnFUlNBXjWxFd1Mp5VJDUV4FkTX9XJeFaRUFBnARK3dQameQQQQCBrAnYw4tpI3LpU5GUM8uRWkkg8JUryGDzlVpLIEM8kp0sov/csLVoW4ln+jOy7BfB0u8QtxTOunPs8PN0ucUvxjCvnPg9Ptwul9RUgcVtfX1pHAAEEMidgBySujcStSyWsjMFemJcvGk+fUFg9nmFevugQzySnSyi/7ywtWhbiWf6M7LsF8HS7xC3FM66c+zw83S5xS/GMK+c+D0+3C6X1EyBxWz9bWkYAAQQyKWAHI66NxK1LRV7GIE9uJYnEU6Ikj8FTbiWJDPV0TZdgrzNy5mwzbHy75JKxY2zydmX3FNO/dImzjXrNt+u8WERhqGdEMxT/SwBP3a6AJ566Arqt0T/x1BWgtUYIkLhthDrXRAABBFIsYAd4ro3ErUslrIzBc5iXLxpPn1BYPZ5hXr7oUM9GfXVrnyMLi5aFevreT7PX46nbA/DEU1dAtzX6J566ArSWtACJ26TFuR4CCCCQcgE7uHNtJG5dKvIyBs1yK0kknhIleQyecitJZBxP11e3dqGw0XPvklyy5hjJomWj1n0B3DJmbM3XCm0gjmfoNZopHk/dt40nnroCuq3RP/HUFaC1RgiQuG2EOtdEAAEEUixgB3iujcStSyWsjMFzmJcvGk+fUFg9nmFevuhQz0YtUlb+HPYeVs2dY/pm9ZQXl/ZtIrltcpdpndhRKktqJ9QzqfvK6nXw1H1zeOKpK6DbGv0TT10BWktagMRt0uJcDwEEEEi5gB3cuTYSty4VeRmDZrmVJBJPiZI8Bk+5lSQyrmcjp0sofy7X17/Fepu8bZ3QYdo6u4pFdf8Z17PuN5bRC+Cp++LwxFNXQLc1+ieeugK01ggBEreNUOeaCCCAQIoF7ADPtZG4damElTF4DvPyRePpEwqrxzPMyxcdx9OVMLWJ0kZMUZC2RcviePreUTPX46n79vHEU1dAtzX6J566ArSWtACJ26TFuR4CCCCQcgE7uHNtJG5dKvIyBs1yK0kknhIleQyecitJZFzPqEXCWiccZoZ3z5BcWjXG3s/yzqNM/9IlznaHjms3o3pnO+s0C+N6at5DntrCU/dt4omnroBua/RPPHUFaK0RAiRuG6HONRFAAIEUC9gBnmsjcetSCStj8Bzm5YvG0ycUVo9nmJcvOq5n1Fe3SS1SNvC5bPK2r7fHrJo3Z2BV4TipL4LjejpvmkKDp24nwBNPXQHd1uifeOoK0FrSAiRukxbneggggEDKBezgzrWRuHWpyMsYNMutJJF4SpTkMXjKrSSRtXjaROmyg/eruszImbPNsPHtVeVJFNh7auSiZbV4JuGTtWvgqfvG8MRTV0C3NfonnroCtNYIARK3jVDnmggggECKBewAz7WRuHWphJUxeA7z8kXj6RMKq8czzMsXXYtnWhYpG/iMrq+BizH2y9u2yV2mdWJHsUj1Zy2eqjeSk8bw1H2ReOKpK6DbGv0TT10BWktagMRt0uJcDwEEEEi5gB3cuTYSty4VeRmDZrmVJBJPiZI8Bk+5lSSyVk9XgtQmRhs1XUL5M9tFy1asm/c2amub1GXaOruiqmOV1+oZ66I5PglP3ZeLJ566Arqt0T/x1BWgtUYIkLhthDrXRAABBFIsYAd4ro3ErUslrIzBc5iXLxpPn1BYPZ5hXr7oWjyjpkuoR1LU9xyuent/SS9aVoun6xmavQxP3R6AJ566Arqt0T/x1BWgtaQFSNwmLc71EEAAgZQL2MGdayNx61KRlzFolltJIvGUKMlj8JRbSSI1PNP81a01sMnbpBYt0/CUvLdmicFT903jiaeugG5r9E88dQVorRECJG4boc41EUAAgRQL2AGeayNx61IJK2PwHObli8bTJxRWj2eYly+6Vs+or24buUjZwGeWJG+Hd89QWVStVs+B997sx3jq9gA88dQV0G2N/omnrgCtJS1A4jZpca6HAAIIpFzADu5cG4lbl4q8jEGz3EoSiadESR6Dp9xKEqnlmdZFygYa9M3sMX2zegYWF441Fi3T8nTeYBMW4qn70vHEU1dAtzX6J566ArTWCAESt41Q55oIIIBAigXsAM+1kbh1qYSVMXgO8/JF4+kTCqvHM8zLF63hmfbpEsoN6r1omYZn+f02+z6euj0ATzx1BXRbo3/iqStAa0kLkLhNWpzrIYAAAikXsIM710bi1qUiL2PQLLeSROIpUZLH4Cm3kkRqeUZNlzB82nTTOrFDciuJxtj7rceiZVqeiWKk+GJ46r4cPPHUFdBtjf6Jp64ArTVCgMRtI9S5JgIIIJBiATvAc20kbl0qYWUMnsO8fNF4+oTC6vEM8/JFa3mu7J5iVs2bU3E5O/3A6Ll3VZSl5cAmb1/vnmrWLFrgvKWh49rNiO7ppmXMWGd9VKGWZ1T7zVaOp+4bxxNPXQHd1uifeOoK0FrSAiRukxbneggggEDKBezgzrWRuHWpyMsYNMutJJF4SpTkMXjKrSSRmp5RX92maZGygSb2nvt6e6oSzsU4m3gOWbRM07N4D838E0/dt48nnroCuq3RP/HUFaC1RgiQuG2EOtdEAAEEUixgB3iujcStSyWsjMFzmJcvGk+fUFg9nmFevmhNz6wsUjbQRHPRMk3PgffZjMd46r51PPHUFdBtjf6Jp64ArSUtQOI2aXGuhwACCKRcwA7uXBuJW5eKvIxBs9xKEomnREkeg6fcShKp7ZmlRcoG+rjuvRhjv7xtndBh2jq7ikXOn9qezos0USGeui8bTzx1BXRbo3/iqStAa40QIHHbCHWuiQACCDgEbGL00UcfNW1tbWb48OFms802c0TVv8gO8FwbiVuXSlgZg+cwL180nj6hsHo8w7x80ZqeWZwuodxn9QMLjJ2rt3/pkvLi0n7rhMMKUyeUChw7mp6O5puuCE/dV44nnroCuq3RP/HUFaC1pAVI3CYtzvUQQACBCIETTjjB/OAHPyjUtrS0mAceeMC8//3vj4iuX7Ed3Lk2ErcuFXkZg2a5lSQST4mSPAZPuZUksh6erukS7EJfo3pnS26p4TG1LFpWD8+GgzTwBvDUxccTT10B3dbon3jqCtBaIwRI3DZCnWsigEBmBZ566ilz2223mUceeaTwfytXrjTvfOc7zeabb2523HFHc8QRR5jtttsu1vNNnDjRzJs3r3Tu/PnzzYEHHlg6TmrHDvBcG4lbl0pYGYPnMC9fNJ4+obB6PMO8fNHanln/6tZ6SRYtGzVztmkZM7aKV9uz6gJNVoCn7gvHE09dAd3W6J946grQWtICJG6TFud6CCCQSYG1a9eaSy65xEybNs28+eabgz7DHnvsYY4//njz5S9/2diBknQjcSuVymYcg2bd94YnnroCuq3Vq3+6vrqVTDOg+3S1tWaTt6vmzjF9s3qcDdl5b9smd5nWiR2l+np5li7QZDt46r5wPPHUFdBtjf6Jp64ArTVCgMRtI9S5JgIIZEpgzZo1Zv/99zf33HNP0H3vvffe5sorrzQ77LCD6DwStyKmTAcxeNZ9fXjiqSug21o9+qdroS+b6Bw99y7dm0+gNdezFC/rWrSsHp7F6zXjTzx13zqeeOoK6LZG/8RTV4DWkhYgcZu0ONdDAIHMCdgvbU877bRY993a2mrOOeccM2XKFDN06NBB2yBxOyhP5isZNOu+Qjzx1BXQba1e/TMP0yWUS0sXLauXZ/m9NNM+nrpvG088dQV0W6N/4qkrQGuNECBx2wh1rokAApkR+Nvf/mZ23nlnY+eyrWWzX+zefPPNZpNNNolshsRtJE1uKhg8675KPPHUFdBtrV79Mw/TJZRL22T08s6jTP/SJeXFpf3iAmz18ixdqMl28NR94XjiqSug2xr9E09dAVpLWoDEbdLiXA8BBDIlcO6555ru7u6qe95iiy0Kc9jutNNOpqWlxSxevNj86le/MnfddZexUyu4tve+972FxcfsImaujcStSyU/ZQyadd8lnnjqCui2Vs/+6ZpiwE4tMLx7hhk2vl33QRJqzbdo2eK31phd59/jXLQsoVvM1WXq2T9zBSV8GDyFUMIwPIVQwjA8hVDCMDyFUISpCpC4VeWkMQQQyJvAkUceaW688caKx/r85z9vrrjiCjNy5MiKcnvw8ssvm4suushceumlZvXq1VX173jHO8xtt91m9txzz6o6ErdVJLkrYLCn+0rxxFNXQLe1evbPvH11a+V9i5bZ5O2O37qkYtEy3TfWXK3Vs382l+Q/nxZP3beOJ566Arqt0T91PWnNL0Di1m9EBAIINLHAbrvtZh555JGSgP3CdtGiRWaDDTYolbl2Hn30UXPCCSeY3/zmN1XVI0aMMLfeemthwbPyyrQnbu29/uMf/zDFwQo/34YH/YE/D2/jz0Ejfi9+ftNR5nvbbFb+V4ixX91uPO93mf+99MYVl5m+WT0Vz1Y8KCZvNzj4M5l/zkb0G/7e5vcV/Y5xLL8HdH4PFP9e4icCSQiQuE1CmWsggEAmBdauXWuGDx9uVq1aVbr/WbNmmeOOO6507Nux8SeeeGJFG/Ycu2iZnfN2woQJpSbSnrhlsM9gn8G+zmAfRxxr/X26dslis+zg/Up/fxR3Rs6cbd6+xwczn9R8a+F9ZsW6eW+jtrZJXWbD40/K/HPW2g84n7+X+fuEv0/4PdC43wNRf0dRjoC2AIlbbVHaQwCB3Aj09fWZDTfcsOJ5FixYYPbaa6+KMt/BwoULzaGHHmqee+65itBhw4aZ2bNnm8MPP7xQnoXEbcUDcBAkUPyPq6CTCI4UwDOSJlYFnrHYIk9KwjOP0yWUg0oXLSs/h32ZQBL9U3Yn+YjCU/c94omnroBua/RPXU9akwmQuJU5EYUAAk0qsNFGG5nly5eXnt4mYcePH186lu7Yxcs+8YlPmD//+c8VpwwZMsRcffXV5otf/KIhcVtBk8sDBnu6rxVPPHUFdFurd/+MWqRs1LqvblvGjNV9mAa15lu0zE4PkafnTZK53v0zyWdJw7Xw1H0LeOKpK6DbGv1T15PW/AIkbv1GRCCAQBML7LzzzsbOV1vcrr/+evO5z32ueBj089VXXy1MjXDvvfdWnGf/8r/88svNvHnzCv9XrJw/f7458MADi4eJ/bT349rsP8Viiy/AIC++netMPF0q8cvwjG/nOjMJT5vUfL17qlmzaEHFLbROOMwM755RUZblA/ucV/z7eHPkO6oXBLXPZZO39nmHjW/P8mMmeu9J9M9EH6jBF8NT9wXgiaeugG5r9E9dT1qTCZC4lTkRhQACTSpw5JFHmhtvvLH09F/96lfN97///dJx6M7KlSsL0ybcfvvt3lNJ3HqJMhfAYE/3leGJp66AbmtJ9M+or25Hz71L92FS0NoZY95hpozZ2HknNnnbNrnLtE7scNZTWC2QRP+svmp+S/DUfbd44qkroNsa/VPXk9b8AiRu/UZEIIBAEwvYOWiPPvroksCIESMKc9XaKRTibnaxM5sQvuWWWwZtgsTtoDyZq2SQp/vK8MRTV0C3taT6p/0aNWqRsjx9gVr0XP3AAu+iZW2dXbovM4etFT1z+GgNeSQ8ddnxxFNXQLc1+qeuJ63JBEjcypyIQgCBJhWw0xuMHTvWvPHGGyWBc88915xzzjml4zg7a9asMccee6y57rrrIk8ncRtJk9kKBnu6rw5PPHUFdFtLqn/mfZGy4lspetrk7cruKaZ/6ZJiVcXPvE0VUfFwigdFT8Umm7opPHVfP5546grotkb/1PWkNb8AiVu/EREIINDkAieffLK57LLLSgptbW2FeW+33nrrUlmcHTtn7AknnFCY39Z1Polbl0p2yxjk6b47PPHUFdBtLcn+2QzTJQz0jJrft/gWh45rNyO6p+dmkbbic2n9HOip1W6ztoOn7pvHE09dAd3W6J+6nrQmEyBxK3MiCgEEmljghRdeMLvssot56aWXSgpTp041//Vf/1U6rmXnjDPOMNOnT69qgsRtFUnmCxjs6b5CPPHUFdBtLan+GTVdQtukLpOnaQMGetrn7uvtMavmzXG+OBYtc7KUCgd6lirYiSWAZyy2yJPwjKSJVYFnLLbIk/CMpKGiTgIkbusES7MIIJAvgXvvvddccMEF5rXXXjN2ntsTTzzRfPKTn1R7yEsuucTYBK6dQsFudkDwxz/+0ey8885q15A2ZK/t2uwXwmzxBRjkxbdznYmnSyV+GZ7x7VxnJu2Z969uB/Psm9lj+mb1uF6DYdEyJ0thjMHf6W6bOKWD9c847TX7OXjq9gA88dQVoLVGCJC4bYQ610QAAQQcAosXLzaLFi0y/f39ZttttzW77rqrI6r+RXaA59r4jzyXSlgZg+cwL180nj6hsHo8w7x80Ul6Rn11O3LmbJOXRcoG83QlrovvxyZvWyd05Orr4+Kz1fJzMM9a2m3Wc/HUffN44qkroNsa/VPXk9b8AiRu/UZEIIAAAk0lYAcjro3ErUtFXsYgT24licRToiSPwVNuJYlshGeeFymTeLJomaRn/jNG4ilvjUg8dfsAnnjqCui2Rv/U9aQ1mQCJW5kTUQgggEDTCNgBiWsjcetSCStj0MFCxAAAQABJREFUsBfm5YvG0ycUVo9nmJcvOmlP11en9mvT0XPv8t1qJuolnixaJn+VEk95a0TiqdsH8MRTV0C3Nfqnriet+QVI3PqNiEAAAQSaSsAORlwbiVuXiryMQZ7cShKJp0RJHoOn3EoS2QjPqOkShk+bblondkhuO7UxIZ6SRctGrZtComXM2NQ+b71vLMSz3veSh/bx1H2LeOKpK6DbGv1T15PWZAIkbmVORCGAAAJNI2AHJK6NxK1LJayMwV6Yly8aT59QWD2eYV6+6EZ4ruyeYlbNm1Nxa3n56jbE0yZvV82dw6JlFT2h8iDEs/JMjlwCeLpU4pfhGd/OdSaeLpX4ZXjGt+PMeAIkbuO5cRYCCCCQWwE7GHFtJG5dKvIyBnlyK0kknhIleQyecitJZKM8o766zfoiZXE9XdNHFN9fMy9aFtezaMfPSgE8Kz1qPcKzVsHK8/Gs9Kj1CM9aBTk/jgCJ2zhqnIMAAgjkWMAOSFwbiVuXSlgZg70wL180nj6hsHo8w7x80Y3yzOsiZXE97aJlKzqPinxdbZO6TFtnV2R9XivieubVo9bnwrNWwcrz8az0qPUIz1oFK8/Hs9KDo/oLkLitvzFXQAABBDIlYAcjro3ErUtFXsYgT24licRToiSPwVNuJYlspKfrK9OsT5dQq6f9Enn5uuRt/9Ilztc3dFy7GdU721mXx8JaPfNoUssz4VmLXvW5eFab1FKCZy161efiWW1CSf0FSNzW35grIIAAApkSsAMS10bi1qUSVsZgL8zLF42nTyisHs8wL190ozyZLsH9ZqxLX29P1RzAxWib3G6mRcsa1T+L3nn7iafuG8UTT10B3dbon7qetOYXIHHrNyICAQQQaCoBOxhxbSRuXSryMgZ5citJJJ4SJXkMnnIrSWSjPV3TJWT5q1ItT5u8ZdEyY7Q8JX8WmiEGT923jCeeugK6rdE/dT1pTSZA4lbmRBQCCCDQNAJ2QOLaSNy6VMLKGOyFefmi8fQJhdXjGebli26kZx6/utX07JvZY/pm9Thfof3ytm1yl2md2OGsz0uhpmdeTGp5Djxr0as+F89qk1pK8KxFr/pcPKtNKKmvAInb+vrSOgIIIJA5ATsYcW0kbl0q8jIGeXIrSSSeEiV5DJ5yK0lkGjxdX922TjjMDO+eIXmEVMXUw7OZFy2rh2eqOkzCN4OnLjieeOoK6LZG/9T1pDWZAIlbmRNRCCCAQNMI2AGJayNx61IJK2OwF+bli8bTJxRWj2eYly+60Z55W6SsHp72y+RmXbSsHp6+PxN5rsdT9+3iiaeugG5r9E9dT1rzC5C49RsRgQACCDSVgB2MuDYSty4VeRmDPLmVJBJPiZI8Bk+5lSQyDZ55mi6hnp7WabBFy+zcwCO6p5uWMWMlrz4TMfX0zASA8k3iqQuKJ566Arqt0T91PWlNJkDiVuZEFAIIINA0AnZA4tpI3LpUwsoY7IV5+aLx9AmF1eMZ5uWLToMn0yX43tI/633JWzvvrZ1iYtj4dlmDGYhKQ//MAJP4FvEUU4kC8RQxiYPwFFOJAvEUMRGkKEDiVhGTphBAAIE8CNjBiGsjcetSkZcxyJNbSSLxlCjJY/CUW0ki0+IZNV1C1pKQSXk2y6JlSXlK/qzkIQZP3beIJ566Arqt0T91PWlNJkDiVuZEFAIIINA0AnZA4tpI3LpUwsoY7IV5+aLx9AmF1eMZ5uWLTotnXr66TcqzWRYtS8rT9+ckL/V46r5JPPHUFdBtjf6p60lrfgESt34jIhBAAIGmErCDEddG4talIi9jkCe3kkTiKVGSx+Apt5JEpskz6qvb0XPvkjxKKmKS9rTJ25XdU0z/0iXO52+dcFhh6gRnZQYKk/bMAElNt4hnTXxVJ+NZRVJTAZ418VWdjGcVCQUJCJC4TQCZSyCAAAJZErADEtdG4talElbGYC/MyxeNp08orB7PMC9fdFo887JIWdKe1u317qlmzaIFzled9UXLkvZ0IuaoEE/dl4knnroCuq3RP3U9ac0vQOLWb0QEAggg0FQCdjDi2kjculTkZQzy5FaSSDwlSvIYPOVWksi0eWZ9uoRGeeZ10bJGeUr+7GQxBk/dt4YnnroCuq3RP3U9aU0mQOJW5kQUAggg0DQCdkDi2kjculTCyhjshXn5ovH0CYXV4xnm5YtOk2fUdAmjZs42LWPG+h4lFfWN9MzjomWN9ExFh1K+CTx1QfHEU1dAtzX6p64nrfkFSNz6jYhAAAEEmkrADkZcG4lbl4q8jEGe3EoSiadESR6Dp9xKEpk2z6h/9p+VuVrT4OlKfhf7QssWW5rWCR2mrbOrWJTqn2nwTDVQ4M3hGQjmCcfTAxRYjWcgmCccTw8Q1XURIHFbF1YaRQABBLIrYAckro3ErUslrIzBXpiXLxpPn1BYPZ5hXr7otHm6Eo824ZiVRcrS4JmnRcvS4On7M5Slejx13xaeeOoK6LZG/9T1pDW/AIlbvxERCCCAQFMJ2MGIayNx61KRlzHIk1tJIvGUKMlj8JRbSSLT6JnlRcrS5Gkdl3ceZfqXLnF2Bbto2aje2c66tBSmyTMtJrXcB5616FWfi2e1SS0leNaiV30untUmlNRfgMRt/Y25AgIIIJApATsgcW0kbl0qYWUM9sK8fNF4+oTC6vEM8/JFp9Ezy4uUpclTsmhZ2ucPTpOn789SFurx1H1LeOKpK6DbGv1T15PW/AIkbv1GRCCAAAJNJWAHI66NxK1LRV7GIE9uJYnEU6Ikj8FTbiWJTKtnVqdLSKOnTd6umjvH9M3qcXYJOw1F2+Qu0zqxw1nfyMI0ejbSo9Zr41mrYOX5eFZ61HqEZ62ClefjWenBUTICJG6TceYqCCCAQGYE7IDEtZG4damElTHYC/PyRePpEwqrxzPMyxedRs+o6RLaJnWlfmGtNHraPuBKhhf7RpoXLUurZ9Euaz/x1H1jeOKpK6DbGv1T15PW/AIkbv1GRCCAAAJNJWAHI66NxK1LRV7GIE9uJYnEU6Ikj8FTbiWJTLOnK9GY9kXK0uxp+4NdtGzFunlvo7a0JcbT7hnlmNZyPHXfDJ546grotkb/1PWkNZkAiVuZE1EIIIBA0wjYAYlrI3HrUgkrY7AX5uWLxtMnFFaPZ5iXLzqtnlFf3Y6cOdsMG9/ue6yG1afVswhiXbO0aFnaPYuuWfmJp+6bwhNPXQHd1uifup605hcgces3IgIBBBBoKgE7GHFtJG5dKvIyBnlyK0kknhIleQyecitJZNo9s7ZIWdo9i33CJm/7envMqnlzikUVP+2XzWlYtCwrnhV4KT7AU/fl4ImnroBua/RPXU9akwmQuJU5EYUAAgg0jYAdkLg2ErculbAyBnthXr5oPH1CYfV4hnn5otPsyXQJvrcXv94mb7OwaFma+2d8/cadiaeuPZ546grotkb/1PWkNb8AiVu/EREIIIBAUwnYwYhrI3HrUpGXMciTW0ki8ZQoyWPwlFtJItPumbXpEtLu6eoTfTN7TN+sHleVsV/etk3uMq0TO5z19S7Mome9TWppH89a9KrPxbPapJYSPGvRqz4Xz2oTSuovQOK2/sZcAQEEEMiUgB2QuDYSty6VsDIGe2Fevmg8fUJh9XiGefmi0+65sntK1T/pT/MiZWn3dPWHNC9alkVPl3FayvDUfRN44qkroNsa/VPXk9b8AiRu/UZEIIAAAk0lYAcjro3ErUtFXsYgT24licRToiSPwVNuJYnMgmeWvrrNgmdUv7DOaVu0LMueUc6NLMdTVx9PPHUFdFujf+p60ppMgMStzIkoBBBAoGkE7IDEtZG4damElTHYC/PyRePpEwqrxzPMyxedBc8sLVKWBc+oPmGTt693TzVrFi1whgwd125GdE83LWPGOuvrUZhlz3p41NomnrUKVp6PZ6VHrUd41ipYeT6elR4c1V+AxG39jbkCAgggkCkBOxhxbSRuXSryMgZ5citJJJ4SJXkMnnIrSWRWPLOySFlWPAfrGzZ529fbUzU9RfEcO03F8O4ZZtj49mJR3X7mwbNuODEaxjMG2iCn4DkITowqPGOgDXIKnoPgUFU3ARK3daOlYQQQQCCbAnZA4tpI3LpUwsoY7IV5+aLx9AmF1eMZ5uWLzoIn0yX43qJ+fVoWLctC/9TXr1+LeOra4omnroBua/RPXU9a8wuQuPUbEYEAAgg0lYAdjLg2ErcuFXkZgzy5lSQST4mSPAZPuZUkMkuerukS7D/dH9U7W/KoicRkyVMC0uhFy/LmKTGvZwyeurp44qkroNsa/VPXk9ZkAiRuZU5EIYAAAk0jYAckro3ErUslrIzBXpiXLxpPn1BYPZ5hXr7orHhm5avbrHj6+kWx3iZvV3ZPMf1LlxSLKn62TjisMHVCRaHiQd48FWliNYVnLLbIk/CMpIlVgWcstsiT8IykoaJOAiRu6wRLswgggEBWBexgxLWRuHWpyMsY5MmtJJF4SpTkMXjKrSSRWfN0fXVb78ShxLEYkzXP4n37fjZq0bK8evq861WPp64snnjqCui2Rv/U9aQ1mQCJW5kTUQgggEDTCNgBiWsjcetSCStjsBfm5YvG0ycUVo9nmJcvOkueWVikLEuevr5RXi9ZtGzUzNmmZczY8tNq3s+rZ80wMRvAMyZcxGl4RsDELMYzJlzEaXhGwFBcNwESt3WjpWEEEEAgmwJ2MOLaSNy6VORlDPLkVpJIPCVK8hg85VaSyKx5pn26hKx5SvpIeYz1XzV3jumb1VNeXNpv2WJL0za5y7RO7CiV1bKTd89abOKci2cctehz8Iy2iVODZxy16HPwjLahpn4CJG7rZ0vLCCCAQCYF7IDEtZG4damElTHYC/PyRePpEwqrxzPMyxedNU+mS/C90frXu758Ll7VJm9bJ3SYts6uYlFNP7PWP2t62AROxlMXGU88dQV0W6N/6nrSml+AxK3fiAgEEECgqQTsYMS1kbh1qcjLGOTJrSSReEqU5DF4yq0kkVn0dCUNbbJwePcMM2x8u+Sx6xaTRc+4GEksWtZMnnHfQ8h5eIZo+WPx9BuFROAZouWPxdNvRIS+AIlbfVNaRAABBDItYAckro3ErUslrIzBXpiXLxpPn1BYPZ5hXr7oLHqm+avbLHr6+khUvZ06YXnnUaZ/6RJnyNBx7WZU72xnnbSwmTylJrXE4VmLXvW5eFab1FKCZy161efiWW1CSX0FSNzW15fWEUAAgcwJ2MGIayNx61KRlzHIk1tJIvGUKMlj8JRbSSKz6hn11e3ouXdJHrtuMVn1rAWknouWNaNnLe/Cdy6ePqGwejzDvHzRePqEwurxDPMiWkeAxK2OI60ggAACuRGwAxLXRuLWpRJWxmAvzMsXjadPKKwezzAvX3QWPdO8SFkWPX19xFdfz0XLmtHT511LPZ616FWfi2e1SS0leNaiV30untUmlNRXgMRtfX1pHQEEEMicgB2MuDYSty4VeRmDPLmVJBJPiZI8Bk+5lSQyy55pnC4hy56S/uKLcX0JXTwnzqJlze5ZtNP6iaeW5D/bwRNPXQHd1uifup60JhMgcStzIgoBBBCou0B/f79ZuHChGTJkiNlwww3NTjvtVPdrui5gBySujcStSyWsjMFemJcvGk+fUFg9nmFevuiserqShDY5OGrmbNMyZqzvsetWn1VPLRC7aNmKdfPeRm1tk7pMW2dXVHVVebN7VoHUWIBnjYADTsdzAEiNh3jWCDjgdDwHgHBYdwESt3Un5gIIIICATODSSy81p556ain4vvvuM+3tya/kbQcjro3ErUtFXsYgT24licRToiSPwVNuJYnMsmfUwlitEw4zw7tnSB5fPSbLnpoYUe+meA3pomV4FsV0fuKp41hsBc+ihM5PPHUci63gWZTgZ5ICJG6T1OZaCCCAwCACZ599tjn//PNLEfPnzzcHHnhg6TipHTsgcW0kbl0qYWUM9sK8fNF4+oTC6vEM8/JFZ9kz6qvbRi5SlmVPX18JqbfJ277eHrNq3hznadKvo/F08sUuxDM2nfNEPJ0ssQvxjE3nPBFPJwuFdRQgcVtHXJpGAAEEQgRI3IZoZS+WQZ7uO8MTT10B3day3j9tcnDZwftVoYxcN13CsPGN+Zcg/I+H61+HJHlrv46OeldZ75/rJdKxh6fue8ATT10B3dbon7qetCYTIHErcyIKAQQQqLsAidu6Ezf8Agz2dF8BnnjqCui2lvX+mbZFyrLuqdu7/tla38we0zerx9m0/fK2bXKXaZ3Y4azH08kSuxDP2HTOE/F0ssQuxDM2nfNEPJ0sFNZRgMRtHXFpGgEEEAgRIHEbopW9WAZ5uu8MTzx1BXRby0P/TNN0CXnw1O1h61uLs2gZnuv9NPbw1FBc3wae6y009vDUUFzfBp7rLdhLToDEbXLWXAkBBBAYVIDE7aA8uahksKf7GvHEU1dAt7Ws98+o6RLaJnWZts4uXSxBa1n3FDxi7BD7rpZ3HmX6ly5xtuFatAxPJ1XsQjxj0zlPxNPJErsQz9h0zhPxdLJQWEcBErd1xKVpBBDIvkBnZ6eZPXt2Ig/y1ltvmdWrV5euxeJkJYpc7DDI032NeOKpK6DbWl76Z1q+us2Lp24vq2zNJm9f755q1ixaUFnxryObvB3RPd20jBlr8HQSxS7EMzad80Q8nSyxC/GMTec8EU8nC4V1FiBxW2dgmkcAgWwL7LnnnmbhwoUNeQgStw1hr+tFGezp8uKJp66Abmt56J9RX902YpGyPHjq9rDq1uz76uvtMavmzamuXFdi570tLlqGp5ModiGesemcJ+LpZIldiGdsOueJeDpZKKyjAInbOuLSNAIIZF/g/e9/v3n44Ycb8iAkbhvCXreLMsjTpcUTT10B3dby1D/TsEhZnjx1e5q7Nd+iZV/9vwfN9S8td59MabAA/TOYbNAT8ByUJ7gSz2CyQU/Ac1AeKuskQOK2TrA0iwAC+RD4j//4D3P33Xc35GFI3DaEva4XZbCny4snnroCuq3lpX8yXYJuv0iqNd+iZTOef9X81/MvJ3U7ub9OXv68p+VF4an7JvDEU1eA1pIWIHGbtDjXQwCBTAn88Ic/NMcee2zFPb/nPe8xe++9d0WZxsEdd9xhli5dWmoqbYlbe2P/+Mc/SnPjFQeB/HwbLvQL/ly8jT8Hef39uHbJYrPs4P1KfzcVd+x0CW/f44P8/kvx77+9R21o5u27Z+SiZTe8vMJ89ekX+P3F7y/+HKf4zzHj7HSOL4p/F/ITgSQESNwmocw1EEAg0wIf/ehHza9//evSM+y2225m0aJFZsiQIaUyjZ2zzz7bnH/++aWm0pa4zWtSguciGc9/FKXzP4p4L+l5L69PO71q3tTFb60xu//hGZJ+KU/6bd06zDzypc9GLlr2vyveNJ/6zX1myJZbkbwjecef55T/eebvxfT8vWj/+4ENgaQESNwmJc11EEAgswJ//etfza677mr6+vpKz9DT02NOPPHE0rHGThYStxrP2axtFAfbzfr82s+Np64onngOJtDoRcron4O9HX+dZNGyUeu+oG4ZM9bfGBFVAvTPKpKaCvCsia/qZDyrSGoqwLMmPk6OKUDiNiYcpyGAQHMJXHTRRWbKlCmlhx49erR5/PHHzWabbVYqq3WHxG2tguk/n8Ge7jvCE09dAd3W8tY/G71IWd48dXubvzWbvF01d47pm9XjDG7ZYkvTNrnLtE7scNZTOLgA/XNwn9BaPEPFBo/Hc3Cf0Fo8Q8WIr1WAxG2tgpyPAAJNIbB27Vqz1157FaZIKD6wnfv26quvLh7W/JPEbc2EqW6AQZ7u68ETT10B3dby2D8buUhZHj11e5y8Ndd7LJ5tk7etEzpMW2dXsYifAgH6pwApIATPACxBKJ4CpIAQPAOwCFUTIHGrRklDCCCQd4EHH3ywkLxds2ZN4VHtX9z33nuv+eAHP6jy6CRuVRhT3QiDPd3XgyeeugK6reWtfzJdgm7/aGRrqx9YYP587BFmq7cPdd5G64TDzPDuGc46Ct0Cefvz7n7K5Erx1LXGE09dAVpLWoDEbdLiXA8BBDItMHXqVDNjxvr/mOno6DA333yzyjORuFVhTG0jDJp1Xw2eeOoK6LaW1/7pmi5h6Lh2M6p3ti7ggNby6jngMRM7tJ5rlyw2yzuPMv1Llzivm8R7dV44g4X0T92XhieeugK6rdE/dT1pTSZA4lbmRBQCCCBQELALlB1xxBHm/vvvL6y8e+SRR5pvf/vbKjoLFy40Z511lnn55ZfN1ltvbWbOnGk23XRTlbZDGrEDEtfG6qkulbAyBnthXr5oPH1CYfV4hnn5ovPo2civbvPo6etD9ay3njZ529fbY1bNm+O8lJ06gUXLnDRVhfTPKpKaCvCsia/qZDyrSGoqwLMmPk6OIUDiNgYapyCAAAJ5FrCDEddG4talIi9jkCe3kkTiKVGSx+Apt5JE5tnT9dVtvf9pfZ49Jf1JO6bck0XLatct96y9NVrAU7cP4ImnrgCtNUKAxG0j1LkmAgggkGIBO8BzbSRuXSphZQyew7x80Xj6hMLq8Qzz8kXn1dO1uJX9MnP03Lt8JDXV59WzJpQaTh7o2Tezx/TN6nG2aN9v2+Qu0zqxw1lPoSn8KyzGSXo9YWD/1Gu5OVvCU/e946nrSWt+ARK3fiMiEEAAgaYSsIMR18Z/kLhU5GUM8uRWkkg8JUryGDzlVpLIPHs2YrqEPHtK+pN2TJSnXbRsxbp5b6O2tkldpq2zK6q6acujPJsWpMYHx7NGwAGn4zkApMZDPGsE5PRYAiRuY7FxEgIIIJBfATsgcW0kbl0qYWUM9sK8fNF4+oTC6vEM8/JF59mT6RJ8bz/99VH90ybmWbQs/P1FeYa3xBlWAE/dfoAnnroCtJa0AInbpMW5HgIIIJByATu4c20kbl0q8jIGzXIrSSSeEiV5DJ5yK0lk3j2jpksY3j3DDBvfLiEKism7ZxCGQrDP0yZvWbRMDu3zlLdEpBXAU7cf4ImnrgCtNUKAxG0j1LkmAgggkGIBO8BzbSRuXSphZQyew7x80Xj6hMLq8Qzz8kXn3TPpr27z7unrT9r1Pk9J8rZeiXrtZ02iPZ9nEveQp2vgqfs28cRTV4DWkhYgcZu0ONdDAAEEUi5gB3eujcStS0VexqBZbiWJxFOiJI/BU24liWwGz6ivbuuxSFkzeEr6lVZMiCeLlvnVQzz9rRGBp24fwBNPXQFaa4QAidtGqHNNBBBAIMUCdoDn2kjculTCyhg8h3n5ovH0CYXV4xnm5YvOu2fSi5Tl3dPXn7TrQzxZtMyvH+Lpb40IPHX7AJ546grQWtICJG6TFud6CCCAQMoF7ODOtZG4danIyxg0y60kkXhKlOQxeMqtJJHN4pnUdAnN4inpWxoxcTxZtCxaPo5ndGvU4KnbB/DEU1eA1hohQOK2EepcEwEEEEixgB3guTYSty6VsDIGz2Fevmg8fUJh9XiGefmim8EzarqEUTNnm5YxY31EQfXN4BkEUmNwHE+bvH29e6pZs2iB8+pDx7WbEd3T1d+982IpK4zjmbJHSNXt4Kn7OvDEU1eA1pIWIHGbtDjXQwABBFIuYAd3ro3ErUtFXsagWW4licRToiSPwVNuJYlsFs+orzBbJxxm7MJVWluzeGp5+dqpxdO+877eHrNq3hznZVq22LLw7oeNb3fW57GwFs88etT6THjWKlh5Pp6VHrUe4VmrIOfHESBxG0eNcxBAAIEcC9gBiWsjcetSCStjsBfm5YvG0ycUVo9nmJcvulk8o7661V6krFk8ff1Kq75WTxYtq3wTtXpWtsYRnrp9AE88dQVoLWkBErdJi3M9BBBAIOUCdnDn2kjculTkZQya5VaSSDwlSvIYPOVWkshm8rRfYC47eL8qlpHrpkvQ+uqymTyrIOtQoOXpStoXb9d+eds6ocO0dXYVi3L7U8szt0CBD4ZnIJgnHE8PUGA1noFghKsIkLhVYaQRBBBAID8CdkDi2kjculTCyhjshXn5ovH0CYXV4xnm5YtuJs8kFilrJk9f39Ko1/Jc/cACs7J7iulfusR5W9rTZjgvkoJCLc8UPEoqbgFP3deAJ566ArSWtACJ26TFuR4CCCCQcgE7uHNtJG5dKvIyBs1yK0kknhIleQyecitJZLN5ur68tF9cak2X0Gyekj5WS4y2Z7MvWqbtWcu7zcO5eOq+RTzx1BWgtUYIkLhthDrXRAABBFIsYAd4ro3ErUslrIzBc5iXLxpPn1BYPZ5hXr7oZvKMmi6hbVKX2j+VbyZPX9/SqNf2lCxaNmrd9BktY8Zq3H7q2tD2TN0DJnxDeOqC44mnrgCtJS1A4jZpca6HAAIIpFzADu5cG4lbl4q8jEGz3EoSiadESR6Dp9xKEtmMnvX86rYZPSX9LG5MvTxt8nbV3Dmmb1aP89bsV9htk7tM68QOZ31WC+vlmVWPWu8bz1oFK8/Hs9Kj1iM8axXk/DgCJG7jqHEOAgggkGMBOyBxbSRuXSphZQz2wrx80Xj6hMLq8Qzz8kU3m2fUV7dai5Q1m6evf9VaX09PVxK/eL95XbSsnp5Fu2b6iafu28YTT10BWktagMRt0uJcDwEEEEi5gB3cuTYSty4VeRmDZrmVJBJPiZI8Bk+5lSSyWT3rtUhZs3pK+lqcmCQ8fYuWaU6jEcdA85wkPDXvN+1t4an7hvDEU1eA1hohQOK2EepcEwEEEEixgB3guTYSty6VsDIGz2Fevmg8fUJh9XiGefmim9HT9aWl1iJlzejp62O11Cfhab/CXt55lOlfusR5q0PHtZtRvbOddVkrTMIzaya13C+etehVn4tntUktJXjWose5cQRI3MZR4xwEEEAgxwJ2MOLaSNy6VORlDPLkVpJIPCVK8hg85VaSyGb1rNd0Cc3qKelrcWKS9LR9oq+3x6yaN8d5qzaxn/VFy5L0dCLmrBBP3ReKJ566ArTWCAESt41Q55oIIIBAigXsAM+1kbh1qYSV/f/27gTuiqpu4Pg/ZBFZFHcWFcQk8yUUUKxUSHIpRRM0KSwsX0FRsczX9SUxTcM9XlHB0sxQU3EJSMU0rMzcTa1UwCURlF1BHnHhvuc/dC937szcOXNn7jJ3fufzgefOmXPOzHxnnnvn+d8z53DzHM0rrDSeYULR1uMZzSusdFY9P5h4pidIl0Sv26x6hl1nla6vpacGb5t90rJaelZ6ztNUD89kzxaeeCYrQGu1FiBwW2txtocAAgg0uIDe3PklArd+KvZ53DTbW9mUxNNGyb4MnvZWNiWz7FmNXrdZ9rS53qKWqZdny9TJ0nLDZN/d1eB++zHjpd2wEb7rGzmzXp6NbBJn3/CMo+eti6fXJE4OnnH0qFupAIHbSuWohwACCDSpgN6Q+CUCt34q0fK42YvmFVYazzChaOvxjOYVVjrLntWYpCzLnmHXWiXr6+Wpk5atNuPeBqW0TlpWL88gx7Tn45nsGcQTz2QFaK3WAgRuay3O9hBAAIEGF9CbO79E4NZPxT6Pm2Z7K5uSeNoo2ZfB097KpmTWPZOepCzrnjbXXJQy9fbUXtnNNGlZvT2jnPs0lMUz2bOEJ57JCtBaPQQI3NZDnW0igAACDSygN3h+icCtn0q0PG6eo3mFlcYzTCjaejyjeYWVzrInwyWEXR31X1/v61OvkWaatKzenvW/opLdAzzxTFYg2da4PpP1pLVwAQK34UaUQAABBDIloDcjfonArZ+KfR43efZWNiXxtFGyL4OnvZVNSTxF/IZLaN1/kHSeNt2G0FUGTxdH7IVG8bQJ3naYeKm0GTAo9jFXs4FG8azmMdaybTyT1cYTz2QFaK0eAgRu66HONhFAAIEGFtAbPL9E4NZPJVoeN8/RvMJK4xkmFG09ntG8wkpn3TPpXrdZ9wy73qKubyTPZpi0rJE8o14LjVgez2TPCp54JitAa7UWIHBba3G2hwACCDS4gN7c+SUCt34q9nncNNtb2ZTE00bJvgye9lY2JfHcoOTX67bdYcNFe1FGSXhG0Qov24ieaZ60rBE9w6+Cxi2BZ7LnBk88kxWgtXoIELithzrbRAABBBpYQG/w/BKBWz+VaHncPEfzCiuNZ5hQtPV4RvMKK42nSJKTlOEZdsVFW9+Inhq8/WDimbJ+8du+B1NJ0N+3oSpkNqJnFQ6zZk3imSw1nngmK0BrtRYgcFtrcbaHAAIINLiA3tz5JQK3fir2edw021vZlMTTRsm+DJ72VjYl8dyglNRwCXjaXHX2ZRrZU6+ZNRPPkk+efcL3gHSc5I4TJ0mrbj1819cjs5E96+ERd5t4xhV018fT7RF3Cc+4gtSvRIDAbSVq1EEAAQSaWEBvSPwSgVs/lWh53OxF8worjWeYULT1eEbzCiuN5wYhhksIu1Lqs76Rr880TlrWyJ71ucLibRXPeH6ltfEsFYm3jGc8P2pHFyBwG92MGggggEBTC+jNiF8icOunYp/HTZ69lU1JPG2U7MvgaW9lUxLPjUpBwyXoOLdtBgzaWLDMKzzL4FSwKi2eaZm0LC2eFVwqdamCZ7LseOKZrACt1UOAwG091NkmAggg0MACeoPnlwjc+qlEy+PmOZpXWGk8w4SircczmldYaTw3CiXR6xbPjZ5JvEqLp1/gP3/8rbp2l3aHjZD2Y8fns+r2My2edQOKuGE8I4KFFMczBCjiajwjglE8tgCB29iENIAAAgg0l4DejPglArd+KvZ53OTZW9mUxNNGyb4MnvZWNiXxdCv5Bd806LbFzEfdBQOW8AyAqTA7bZ6NPmlZ2jwrvGxqVg3PZKnxxDNZAVqrhwCB23qos00EEECggQX0Bs8vEbj1U4mWx81zNK+w0niGCUVbj2c0r7DSeG4USmKSMjw3eibxKm2ejT5pWdo8k7iGqtkGnsnq4olnsgK0VmsBAre1Fmd7CCCAQIML6M2dXyJw66din8dNs72VTUk8bZTsy+Bpb2VTEk+vUpzhEvD0esbJSaunzaRlnadOl1bdesThiVw3rZ6RD7RGFfBMFhpPPJMVoLV6CBC4rYc620QAAQQaWEBv8PwSgVs/lWh53DxH8worjWeYULT1eEbzCiuNp1uI4RLcHvVeSuv1qcHbdTPvlpYbJvsS6hAc7ceMl3bDRviur1ZmWj2r5RG3XTzjCrrr4+n2iLuEZ1xB6kcVIHAbVYzyCCCAQJML6M2IXyJw66din8dNnr2VTUk8bZTsy+Bpb2VTEk+vkgbc3h87StYvftu1st1hw6XDxEtdeaULeJaKxFtuBk+/LwLyKrWetKwZPPN2jfATz2TPAp54JitAa/UQIHBbD3W2iQACCDSwgN7g+SUCt34q0fK4eY7mFVYazzChaOvxjOYVVhpPr5BfsM12kjI8vZ5xcprBUyctW22+DAhK7U8YL+3Hjg9anWh+M3gmChKzMTxjApZUx7MEJOYinjEBqR5ZgMBtZDIqIIAAAs0toDcjfonArZ+KfR43efZWNiXxtFGyL4OnvZVNSTz9lbTX7arDh3hWdjLjkrYZMMiTn8/AMy+RzM9m8gzqyZ2Xat1/kHSeNj2/WJWfzeRZFaCIjeIZESykOJ4hQBFX4xkRjOKJCBC4TYSRRhBAAIHmEdAbEr9E4NZPJVoeN3vRvMJK4xkmFG09ntG8wkrj6S9U6SRlePp7VprbTJ4avG2ZNlnWzbrbl0N7dVd70rJm8vRFrHEmnsmC44lnsgK0VmsBAre1Fmd7CCCAQIML6M2dXyJw66din8dNs72VTUk8bZTsy+Bpb2VTEs9gpUqGS8Az2LOSNc3oqcHbek1a1oyelVxXSdXBMynJDe3giWeyArRWDwECt/VQZ5sIIIBAAwvoDZ5fInDrpxItj5vnaF5hpfEME4q2Hs9oXmGl8fQXChouIWw8Ujz9PSvNbVbPlqmTpeWGyb4s2vO2/Zjx0m7YCN/1cTKb1TOOSZy6eMbR89bF02sSJwfPOHrUrUSAwG0latRBAAEEmlhAb0b8EoFbPxX7PG7y7K1sSuJpo2RfBk97K5uSeJZXitrrFs/ynlHXNrtnrScta3bPqNdX3PJ4xhV018fT7RF3Cc+4gtSvRIDAbSVq1EEAAQSaWEBvSPwSgVs/lWh53OxF8worjWeYULT1eEbzCiuNZ7BQUK/bcpOU4RnsWcmaZvfUa+z9saNk/eK3fXmSnrSs2T19EauYiWeyuHjimawArdVagMBtrcXZHgIIINDgAnpz55cI3Pqp2Odx02xvZVMSTxsl+zJ42lvZlMQzXCnKJGV4hntGKZEVTw3erpl4lnzy7BO+PBq87ThxkrTq1sN3vW1mVjxtPeKWwzOuoLs+nm6PuEt4xhWkfiUCBG4rUaMOAggg0MQCekPilwjc+qlEy+NmL5pXWGk8w4SircczmldYaTzLCzFcQnmfaq/NyvWpwduWaZNl3ay7fUl13NsOEy+VNgMG+a63zcyKp61H3HJ4xhV018fT7RF3Cc+4gtSPKkDgNqoY5RFAAIEAgbVr18ry5culpaXF+dehQwdZsWKFbLnlltK1a1fR5TQkvRnxSwRu/VTs87jJs7eyKYmnjZJ9GTztrWxK4hmuFGW4BDzDPaOUyKJnNScty6JnlOstalk8o4qVL49neZ+oa/GMKkb5JAQI3CahSBsIIJA5gUWLFsnDDz/s/HvppZfkzTfflGXLlpV16NixoxPA3X777aVnz55ywAEHyEEHHSTdunUrW6/WK/WGxC8RuPVTiZbHzV40r7DSeIYJRVuPZzSvsNJ4hgmJfDDxTE9PSO0BucXMRz2V8fSQxMrIomc1Jy3LomesCzCkMp4hQBFX4xkRLKR4Gj2PO+440X9DhgwJOTpWN6IAgdtGPCvsEwIINKzAQw89JBdffLHMnTs3sX38yle+Iuedd54MHTo0sTbjNKQ3I36JwK2fin1eGm/y7I+u9iXxTNYcTzyTFbBrzbbXLdennadtqSx7avBWvzAImrSs3WHDnaETbC21XJY9ozjZlsXTVsquHJ52Tral0uqp+61pp512coK3BHFtz3hjlCNw2xjngb1AAIEGF9DhD0444QSZPn161fb04IMPlltvvdUZWqFqG7FoOP/BXlqUwG2pSPTltN7sRT/S2tTAM1lnPPFMVsCuNdtJyrg+7TxtS2XZsxqTlmXZ0/aai1IOzyha4WXxDDeKUiKNnrrPpSkfxNVeuD179qQ3bilQAy0TuG2gk8GuIIBAYwpo0Hb//feXp59+uuo72KtXL3nwwQfls5/9bNW3FbQBvw92LUvgNkjMLj+NN3l2R1afUngm644nnskK2LdmM0kZ16e9p01JPEWSnLQMT5urzr4MnvZWNiXxtFGyL5NWT93vsJQP5NIbN0yq9usJ3NbenC0igEDKBE455RSZMmVK4F7rB2H37t2lT58+suOOOzqTkOlEZJtssol88skn0qZNG/nwww9l6dKl8tprr8mCBQtk8eLFge317dtXnnzySdl0000Dy1RzRdAHO4Hb+OppvdmLf+TVaQHPZF3xxDNZAbvWGC7BzinpUvy+bxBNYtIyvYbPHdhPzj3sEDMEw0JnGAYdq1lTq649ZJNu3aXtsBHSZsCgDRvl/1ABrs9QokgF8IzEFVo4jZ66z1ESQdwoWtUvS+C2+sZsAQEEUizw8ssvy2677eY5Ag3MfuMb35CRI0eKjlGry1GSBnDvu+8+ueWWW+S5557zVD3jjDPksssu8+TXIiPog53AbTz9NN7kxTvi6tbGM1lfPPFMViBaa37DJXymU2f5TMdOThDsrY8+ccblIwgWzTWoNL/vbhm/Xt/5EhqAbXfYCGk/dnw+q/AzbLzcQsH/vNC22o8ZL+1MEJcULMD1GWxTyRo8K1ELrpNWT93vShNB3ErlkqtH4DY5S1pCAIEmFPjxj38sF154oevIvvjFL8ptt93m/BHpWlHBwvr1653evOeee66sWbOm0EKXLl2cXrnt2rUr5NXqRdAHO4Hb+GcgrTd78Y+8Oi3gmawrnngmK2DfmgbAVo8dZV/BlCQIFonLU5jfdzdJWBC2eNKysDFy3S17l1r3HyQdJ06SVt16eFeS4whwfSZ7IeCJp14DSSQN4mrScXEZUiEJUbs2CNzaOVEKAQQyKjBgwAB59tlnC0ffr18/Z6zb1q1bF/KSeHHnnXfKN7/5TVdTM2bMkOHDh7vyarEQ9MFO4DaePjfN8fxKa+NZKhJvGc94fqW18SwVCV4OC5gF19ywRgO4HSZeymPoYVBF67k+izCKXmpA9n3zBcL6xW8X5W58qQFX7Xkb9UuGjS1sfMUXDxstSl9xfZaKxFvGM55fae20eup+VyPRG7caqt42Cdx6TchBAAEECgLbbbedLFmypLD8yCOPOEMjFDISfHH00UfLXXfdVWhxwoQJ8pOf/KSwXKsXQR/sBG7jn4G03uzFP/LqtIBnsq544pmsQHhrlfS09WuVIJifSvk8ft/9fTR42zJtsqybdbd/gQRzuW6DMbk+g20qWYNnJWrBddLoqftc7UQQt3rCBG6rZ0vLCCCQcoFPP/1U2rZtKzqcgSadZKylpcWZdKwah3bDDTfImDFjCk0ff/zx8otf/KKwXKsXQR/sBG7jnYE03uTFO+Lq1sYzWV888UxWILy1pIK2xVvqcP4kxg8tBgl4ze97AMx/sjV4u27m3dJyw+TyBRNYq8HbzlOnM2xCkSXXZxFGAi/xTACxqIm0eup+1zLlg7g6pELPnj2doRVquf1m2xaB22Y7oxwPAggkJrB27VrXpGPdu3eXhQsXJtZ+aUMPP/ywfPWrXy1kH3rooTJr1qzCcq1eBH2wE7iNfwbSerMX/8ir0wKeybriiWeyAsGtVSNoq1ujB2Oweekaft9LRbzL5SYt85auPEeHYOg8bXrlDTRhTa7PZE8qnnjqNVDPlA/kMi5uZWeBwG1lbtRCAIGMCHTq1KkwaZhOFKY9bqv1wXfdddfJuHHjCrJHHHGE3HvvvYXlWr0IOj4Ct/HOADfN8fxKa+NZKhJvGc94fqW18SwVcS+vGjY4cBxRd8noSxq83WLmo9ErZqgG16f9ya7Wlwyle0Bv8Y0iXJ8bLZJ4hWcSihvbSKun7nejJIK40c8EgdvoZtRAAIEMCfTp00deffXVwhHff//9csghhxSWk3wxatQoufXWWwtNnnjiiaLB3FqnoA92Arfxz0Rab/biH3l1WsAzWVc88UxWwL+1lqmTq/4IevsTxjuTSPnvAbkqwO+7/XWw6mv7yvql79hXqKAkXzi40bg+3R5xl/CMK+iun0ZP3edGTARx7c4KgVs7J0ohgEBGBYYPHy733HNP4ej79esnc+bMkW233baQl8SLN954Q/bcc09ZtWpVoTmdmEwnKKt1CvpgJ3Ab70yk8SYv3hFXtzaeyfriiWeyAsGtrRi4S/DKhNYQBCsPye97eZ/itTre7arDhxRnVe11JzPWbZsBg6rWfloa5vpM9kzhiacK6HXQ6EmDuJp0XFyGVHCfLQK3bg+WEEAAAZfA3XffLSNGjHDldevWTW6//XbZb7/9XPmVLjz//PMycuRIeeWVV1xNPPHEE7L33nu78mqxEPTBTuA2vj43z/ENi1vAs1gj/ms84xsWt4BnscaG17UaM1S3RhDM61+cw/VZrBH8uhY9xPNbb3fYcOkw8dL8YqZ/cn0me/rxxFOvgbQleuNuPGMEbjda8AoBBBDwCHz00UfSq1cvWbRokWvdJptsImPHjnWGTdh///1l8803d60PW/jwww/lsccek5tuuknuuOMO+fjjj11VevfuLfPnz3fl1WohjR/stbJhOwgggAAClQtM6bmtjNyqU+UNRKh5+/LVcvIbSyLUoCgCXoHf7dpdvtxpU++KKuQ8tvpDOfzVt6vQMk0igAAC6RcYPXp0ZnviErhN//XLESCAQJUFHnnkETnwwANl/fr1vltq1aqV9O/fX3QYhc6dOxf+6cRm2kt13bp1snbtWnn33XedAPC8efPkxRdf9ARrixvXnr5HHnlkcVbNXhO4rRk1G0IAAQQyJfB8351kh7ata3LMBMFqwtz0G6nlNfvWR5/IHi++2fSmHCACCCAQRyDfEzc/pEKcttJSl8BtWs4U+4kAAnUVuOqqq+RHP/qRE4it9o6MGzdOpkyZUu3NBLZP4DaQhhUIIIAAAjEECILFwKNqXQSWD+hds+0SuK0ZNRtCAIGUCwwePNgZC3fixIkpPxK73Sdwa+dEKQQQQEBmz54txx57rGsCsSRZtOfuRRddJGeffXZdB5AncJvkWaUtBBBAAIG8QC2DYLrNrZ5ZkN80PxGoSIBrtiI2KiGAAAKJCmSxl20xIIHbYg1eI4AAAiECK1eulMmTJzv/VqxYEVLabrUGSr/xjW/IueeeKwMHDrSrVMVSBG6riEvTCCCAQIYFatnjVpkJ3Gb4Ykvo0Gt5zdLjNqGTRjMIINAUAvlg7XHHHef0rm2Kg6rwIAjcVghHNQQQyLaAjlv75z//WebMmSOPP/64LF68WJYsWSKrV68Ohdl0001FP4gGDRokQ4cOdf517949tF6tChC4rZU020EAAQSyJcBET9k6381wtFyzzXAWOQYEEEibwOuvvy49e/ZM225XbX8J3FaNloYRQCCLAi0tLU4AVyciW7p0qTOhWfv27UX/bbbZZtKtWzfZdttt6zoUQhbPC8eMAAIIIFB/gffHjJJPnn2iJjvS/oTx0n7s+Jpsi400r8C6mTPkgwvOqskBcs3WhJmNIJBJgUbumDN69GgnSJuV8WoruQAJ3FaiRh0EEEAAAQQQQAABBBCIJFDLIFiH8ydJu2EjIu0fhREoFVi/aKGsOnxIaXZVlrf43Vxp1a1HVdqmUQQQyLZAIwVuGQIh+rVI4Da6GTUQQAABBBBAAAEEEEAgokAtg2BbPj0/4t5RHAF/gVr0FG/VtbtsMfNR/x0gFwEEEIgpUO/ArQZr82PVDhkyJObRZK86gdvsnXOOGAEEEEAAAQQQQACBugjUotctj5zX5dQ27UZrcc12mjpd2gwY1LSGHBgCCNRXoB6B28GDBzuTijEEQvxzT+A2viEtIIAAAggggAACCCCAgIWA9rp9f+woWb/4bYvS0YvQczG6GTXCBarZ67Z1/0HSedr08J2gBAIIIFChQC0Ct/khELRHrfauJSUnQOA2OUtaQgABBBBAAAEEEEAAgRCBj595Qlab4G01Ej0Xq6FKm9X8woGxbbm+EECg2gLVCtzmg7X5YRCqfRxZbZ/AbVbPPMeNAAIIIIAAAggggECdBKrx+DlB2zqdzIxsthpfOHDNZuTi4TARqLNAkoHb/BAIGqzt2bNnnY8sG5sncJuN88xRIoAAAggggAACCCDQUAJJBm8JgDXUqW3andHg7QcTz0xkqA+u2aa9TDgwBBpOIG7gdvTo0U6QlvFq63NqCdzWx52tIoAAAggggAACCCCQeQF9BH3NxLPkk2efqMhCx7TtMPFSJnaqSI9KlQjEvWZ1TNuOEydJq249Ktk8dRBAAIHIAlEDtwyBEJm4qhUI3FaVl8YRQAABBBBAAAEEEECgnIAGwrQnY8u0ydY9GTVg237MeGk3bES5plmHQNUEtMf4upl3W3/pwDVbtVNBwwggECJgE7jVYG1+rFqdYIzUOAIEbhvnXLAnCCCAAAIIIIAAAghkWiAfxNWA2PrFCwuBXA16teraw+lZ23rgIHrYZvoqaayDt7lm2w0bTg/bxjpt7A0CmRIICtzmx6tlCITGvhwI3Db2+WHvEEAAAQQQQAABBBBAAAEEEEAAAQQQqEigOHCr49Vqj1rtXUtKhwCB23ScJ/YSAQQQQAABBBBAAAEEEEAAAQQQQACBSAIapNV/DIEQia1hChO4bZhTwY4ggAACCCCAAAIIIIAAAggggAACCCCAAAIbBAjcciUggAACCCCAAAIIIIAAAggggAACCCCAAAINJkDgtsFOCLuDAAIIIIAAAggggAACCCCAAAIIIIAAAggQuOUaQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEGkyAwG2DnRB2BwEEEEAAAQQQQAABBBBAAAEEEEAAAQQQIHDLNYAAAggggAACCCCAAAIIIIAAAggggAACCDSYAIHbBjsh7A4CCCDQaAIffPCBvPXWW7Jo0SJZuXKldOnSRbp27So77rijdOjQodF2t+b7oybr1q2TzTbbTDp37lzz7TfrBj/88EPnunv77bdlxYoV0r17d9ltt90wTviE6+/3woULnd9vddbf7c9+9rOyzTbbJLyl7DSXy+Xk448/ljZt2shnPvOZ7Bw4R5oKgcWLF8srr7wi+ruvn1n6O7/zzjtLq1atUrH/7GTzCrzzzjsyb948Wbp0qXTr1k122WUX2XrrrZv3gOtwZG+88Yaosxpr0t/93r17y6abblqHvWGTCCBgK0Dg1laKcggggECGBDTwMGPGDLn55pvlgQcekE8++cRz9G3btpWvfe1r8r3vfU+OOOIIz/pmz3jqqadk7Nix8txzzxUO9eSTT5ZrrrmmsMyLaAJr1qyRW265Re677z6ZO3euExAvbUEDuHvssYdceOGFsueee5auZtlCYNmyZXLTTTfJ7373O3n88cfl008/9dTafPPNpX///nLRRRfJl770Jc96MrwCN9xwg3NdaiBc30M1aLvlllvKiBEjZOrUqd4K5HgE1q5dK9/+9rfl2Wef9ayzyTjmmGPksssusymamTIvv/yyXH755fLiiy+Kvn7//fc9x65fPH7lK1+Rk046SQ499FDPejI2Cpx66qnOZ9TGnMpfbbHFFjJ79mzZYYcdKm8kxTVbWlrkqquukjvvvFPmz58veg9QmvTLBf3S9owzzpCjjjqqdDXLFgLvvvuu89k0c+ZM+fe//+2poZ9VPXv2lNNOO815D9D7exICCDSYgLmxJCGAAAIIIFAQMN/E5w466KCc+biy/mf+WM6ZnqeFNpr5hfnDIvfDH/4wZ3oneXyGDx/ezIdetWMzXwzkJk2alDNBLo9p0HW4ySabOOdh9erVVduvZmvY9AzPTZgwIdexY0drZ/UfOXJkzvTOaTaORI/n1VdfzZk/dn1dt91220S31cyNmcCCr2HQ+0Bpvvlip5l5Ih2b6UGfM4GYXOvWra1NTQAnZ56wibSdrBWO8jlVen36Lf/2t7/NGqFzvObLw1yPHj2sr02123vvvXNPP/10Jr0qPeh77rknZ56gsXY2PXBzjz76aKWbox4CCFRJgB635lOAhAACCCCwQUAfn9prr72cR6ejmmivPO0lqY8HN2uaM2eO08tWHzXzSyZw6/RU9ltHXrDAkUceKffee29wgTJrtNf373//+zIlWJUXiON8+OGHJ9bLLL8/zfTz61//utx///2+h2QCt6I9nkjhAtrj/rvf/W54wYASJhDkDLESsDoz2U8++aToNbl8+fLIx6xPkwwcODByvaxU0F70OkRSUkmfMNH31ywlfTJJey5Xkrbbbjt54YUXRN9XScEC+iTNmDFj5MYbbwwuFLBGe4L/7W9/kz59+gSUIBsBBGotQOC21uJsDwEEEGhQAR2TUR+VfOyxxzx72KtXLyeg2759e3n99dedG7qPPvrIU05vxCdPnuzJT3uG/vFretk6j/GXOxYCt+V0/NfpddeuXTvn0fLSEvr4no6/qGOv6pi3QenXv/61fOc73wlaTb4RMB0AnC9VSodF0N9pfQxVxxLUYIT+QRwUZNShU+IE1Zr1ROiQE+WGiyFwa3/m4wZudViKu+66y36DTVhSx6PXL2D1Z2nafvvtZejQoc6Y4fr+umTJEnnmmWfkpZdekvXr1zvFdfgfHY6G5C/w1a9+VR5++GH/lRXkzpo1K7dpYA8AAB/FSURBVFPDU+i1ptdn6We6Ds+j91A65qp2AHjzzTedL8P8vijnC9vwC02H5znxxBM9BXVuigEDBsgXvvAF57NeA7Q6j0Vp0nsCHbKmU6dOpatYRgCBOggQuK0DOptEAAEEGlFAA646vlVx0slK9OZPx7E1j6YXVpnHgmXcuHGeP160jE4soYHeZkkaBNBjzU/kUO64CNyW0/Ffp2Pc6fiK+aQTZIwaNcrpKdK3b1/RwKIGG//+9787PXT++te/5osWfm611Vaik5hpAJjkL6DjVBf3hv/c5z4nP/jBD5yAd7G/lrvyyivl/PPP9/xhrQHef/7zn/4byGiuBh923313ee211wIFCNwG0nhWlAZuNcDwi1/8wlMuKEOv0Sy/D+j1OHjwYNEet8VJgzU6BvPRRx8tZuiE4lXOa33aRse/1EDumWee6Xqv8BTOeIZO6vaPf/wjsoK+t375y1921dOxRHWyOO3Fm5XkF/g2w/HIlClTPA7aQeDqq6+Ws846y8Oj96E6kSbJK/Dee+85NqX3rQcffLCYoTlEg+TFSccZPv3004uznNdqX/p3gacQGQggUBuBKg3BQLMIIIAAAikSMDfHOTM5hmcMrAsuuCDwKMwkMjkTsPDUOeWUUwLrpG2F6bHkO5atjhf2y1/+0jNumAncpu0QG2J/82OumkmJcmoelHQsXPO4v+eaM3dMOdNLLKga+f8R0LEZ9d/Pf/7znFqWS+YPNo+zjpVpAkPlqmVu3U9+8hOXk/niIWcee3blmcBt5lwqPWDTe95lZx73r7SpTNYrvR71vbFLly4584VXJj0a6aB1LFs9H8X/9DMvS8n06s6ZHpwuA72PNF/glmUwj/y76qihmdCsbJ0srzQTuXm8zNMIZT/3r732Wk8dM1RCTs8ZCQEE6i9Aj1vzzk9CAAEEsi5wxx13iM7GXZwOPPBAeeCBB0R73QYlfcSydCy8Zupdpo+JaY+vfNIexfro2UUXXSQ6BpiOtaY9lPKJHrd5iWg/n3jiCdEeYf/1X/8VWnHhwoXOuGs6+3xxYriEYg3/18uWLXN6MKt1WNJeztpzvvQRyueff1769esXVj0T6/VRXu3hqb3G88lM/iZmwjynl1g+r5neE/PHVK2fpT1udZzW2bNnV2tzTdWu9ujcaaedXEMk6NMIf/zjH0WfXiDVV2CfffYR/awrTrpsJtwqzmrq1/pE1q677uo6xosvvljOOeccV17pgt+9pr7Xmi8qSouybAR69+7tegpE711feeUVJ78ckA6f8OKLL7qK6PvHkCFDXHksIIBAHQTqHztmDxBAAAEE6i1ghkLwfNNuHrW02i0TbPPUNWOYWdVt9ELmsfDCsZlHHHMmaOXaZe1JZz66C//oceviqdqCGYu5YJ73N3/4VW17WW340EMP9TibieCyyuE5bv19z19/+tMEzXL6JIIZgsKVT49bD11gBj1uA2lCV/j16Jw4cWJoPQpUX+Avf/mL6z1B3y9MILf6G26wLZgvYTwON910U+hemnHXPfXOO++80HpZLKBPxZhArcvrqKOOsqK45JJLXPX0OjUdFazqUggBBKoroJNVkBBAAAEEMi7QvXt3182aGf+q7CNVxVwXXnihq67e6F133XXFRVL72vQ6zF1++eU5M/mQ7zEQuPVlqXrm8ccf77nm+CMueXbTy8bjbCYvS35DKWxxzpw5HpsZM2Y4R0LgtvITSuC2crsDDjjAdU2aMa1zZvzUyhukZmICpV/y6H3Sbbfdllj7aWnI9Jx1XaPqYMavDd39uXPneupNnz49tF4WC2jHCXUt/vfTn/7UisJMBJczkxa66toGfa02QCEEEKhYgKESzLsaCQEEEMiywIoVK0QfpyxOhx12mDNRSXFe0GsTwBCd8KA46SQHV1xxRXFWU75mqIT6nNZvfetbcvvtt7s2rpPrnXrqqa48FioXMHeWzkQxq1atcjWiE/MUT2bmWpmRhY8//tiZkfvll18uHLEOLaPvhZp++MMfMlRCQSbaC4ZKiOaVL63DJOjs7zo5WT7p++Stt96aX+RnnQQWLFjgDA9gxgot7IH5slxMkMx3orhCoSZ8oUMcmTHtteNY4eh0oiyd7E1NgtIhhxwiDz74oGu1vv+aMVhdeSyI3HPPPaLDdhUnfV899thji7MCX+vEpTqsQj7pBHA6ERwJAQTqLFBxyJeKCCCAAAJNIVA8HID5SHK+aTdBV+tje/31113fzmsbOglCFhI9butzlvv37++55vQxYVJyAtdcc43H2Ix/l9wGUtzSZZdd5rLRno3/+te/CkdEj9sCReQX9LiNTOZU0J7w+c/v/E8TwKmsMWolKjB+/HjPubHtAZnojjRIY35DHX3pS1/KLV261HcP/SbKpBeoL5WTqU9+5N8D8j+vv/764Aola3RCyHw9/anDLpAQQKD+AgyVUP9zwB4ggAACdRUwEw+4btL0Ri3KH3w6nIDOpF58o7fXXnvV9ZhqtXECt7WS3rgd03vJda3pdaeP9ukjfqRkBMyEOZ7faXU2kxgms4EUt7Jo0SLPrOg6g3dxInBbrBHtdVDgVj9nPvroI+shfKJtNf2lf/WrX3neF80kQ64DUz+9fvXLWvOkjWsdC9URWLlyZc70MHWdG71fCgpSVmcvGqvVp59+2vM4vn6+9OzZM6efPfmkv/Pnn3++y07Lmck1c6YHaL4YP0sE1Fediv+de+65JaWCF8eOHeuqq+2YJ22CK7AGAQRqIkDgtibMbAQBBBBoXAG/CU0efvjhSDu84447um70zONrkeqntTCB29qfOe2pVPwHib7WieNI8QX+/e9/58aMGeOZ2ESNBw8enDOP+sbfSMpbGDVqlOv669q1a+799993HRWBWxdHpIXSwK1ee23bti2Ya++vXr165YYOHepcq5deemnuzTffjLSNZiysXx6Uvi+uXr0696c//Sk3bty4nE4iWjp2pRnqJ6fjWJ900km5p556qhlZ6n5MkyZN8pwXHaM96+mCCy7wuOj1q9focccdl9NJzPbee29PGQ3aPvroo1nnK3v8y5cv97h9/vOft/78/tGPfuSpr5PDkRBAoL4CjHFrPiVICCCAQJYF/u///k/Mo3wuAvNHnAwcONCVV25ht912k+LxHk0gV8wf0+WqNMU6xrit7WnU8VZ1TLslS5a4Nmwe65eTTz7ZlcdCsMC9994rN998szPOoLkNFTOBkcybN09Kx7PNt6BjXpvettK+fft8ViZ/mpnhZb/99nMd+29+8xsxwVxXHmPcujgiLZSOcWtT2fRglFNOOUVMrzLp0qWLTZWmK2OCgXLjjTe6jmv33Xd3xg51ZQYstG7dWs455xyZMGGCmKE/AkqRHUVAx8LeeeedZeHCha5qZlgL6du3rysviwsmqC1nn3229aHrGLhmQjfPe7B1AxkqqOMGmy8UXUesn+FHH320K690wfRydsbHNRPyulbNnz9fevfu7cpjAQEEaixQ37gxW0cAAQQQqLfAeeed5/l23UxMEGm3Sscc3WabbSLVT2thetzW9sxpzzFzm+T6161bt9x7771X2x1J+db2339/l2GpaX556623zpnJjXImAJHyI46/+2byp1y/fv1cbvvuu69vw/S49WWxyjSTDrqM89eizU8TtM098sgjVttptkI65qeNUViZffbZh+EoEro4pk+f7jknOr4raaOAmXAsZwKCHqfS6/Sb3/wmn/Mb2UJfnXbaaR5TM6loburUqb519TNeh1sxE5F56rVq1coZYsW3IpkIIFAzAXrcmk8GEgIIIJBlAe2peO2117oIzCPTssMOO7jyyi2U9rjVb+b1G/pmT/S4rd0ZNuO2yaBBg6R4Zm7duvYePeKII2q3I02wJTMRjDz++ONWR2KCt2ImGxTtHaW9eLKapkyZ4vTqzB+/eWRfnnnmGTHB3HxW4Sc9bgsUkV/okxpf/OIXnV7gnTt3li233NK57sxwCWLGBRUzRquYsVoD2zVDV4j2aNTrNkvpkEMOERMECzxkM86qmEfPRT+zzKPUYibTk7feesu3/C9/+Uv5/ve/77uOTHsBfWpJ3yOKE59XxRoi5gsxufLKK+Wss85yryhZ2mqrrWTixIly4oknivYOJ5UX0PdK7e29Zs0aT8HPfe5zYiYaFTOmsLzzzjtiOmo4T8yZL8A9ZfMZ+r6sT9KREECgjgI1CxGzIQQQQACBhhTwm/H4tddei7Sv5g9t17f0O+20U6T6aS1Mj9vanDkdq9F8OeC6xsytU8489lebHWiyrfiNYaee5f6ZL3JyfzQTGWYx6URC2puz2Md84RVIQY/bQBqrFTqWsvZw9ku6TifYuuSSS3I6vnDxOcm/Nl/k+FVt6jwd5zt//PmfOl6o9sT9wx/+4Ntr3nx549vbsUePHrmWlpam9qr2wek4rPnzkP9pAmk5nXCLtEFAx1/WsVfzPjY/zRATuaj3p1n1/tnPfhbJtpy/GUYpq4wcNwINI0CPW/MuRUIAAQSyLKBjjGlvuuKkvXH0W3nbZIZKkOeee65QfK+99pInn3yysNysL+hxW/0za+6YxDwmKXfddZdrY9oTz8yO7vQgc61gwUrABMOdMW61sI6Fpz1q3njjDfnb3/7mjJW5du1aTzs6xu3zzz8vu+66q2ddM2eYCdvkhhtuKByi9uY0s5oHjqdKj9sCVVVfaM/bb3/72zJjxgzPdrSno34uZSWZR/Bl7ty5hcM1kziJ+aJF9LO4XNLf/V122cXpzVxcTse4HDZsWHEWryMI6FMgpeOEXnXVVWK+1InQSvMW1THWTzjhBNFxgIuTfq6ffvrpYibDEvNYv2/vejMUl9x3331Oz/ziurz2Ctxzzz0yduxYz++3t+SGHPNlT+G+IF9G83TsW/1JQgCBOgo0TAiZHUEAAQQQqIuAefzM8628CbpG2hcT5HW1ceihh0aqn9bC9Lit/pkzj1C6ri1zy5TTmeXnzJlT/Y1ndAtm8rec3xh5am+GWchUrzEzUWNOx/jTY8//mzZtWtkrgx63ZXkSXanjW/uNy2ge9090O43emJlAsHB96nUaZZz5iy++2FVX61999dWNfsgNu3/mSx3Pe0anTp0Yo/U/Z8wMjeC53vSaMwHG3IoVKwrn1XyR6DxVk3/fLf6p47UuWLCgUJYXwQL6eW6+fMyZyd183c0wKrk99tgjp0/f6bVrJtt0ldOnTUgIIFB/Af1WhYQAAgggkGGByy+/3HWTpjfHpjdDJBH9o6T4pvp73/tepPppLUzgtrpn7uc//7nruspfY5MnT67uhmndETDjCfr6Z2nIBJ1MKH/d6U8zbmVo4JrAbW1/ga677jrXOdLzdOqpp9Z2J+q8tZEjR7oMTI9b6z3SyUiLr3F9rV/ckCoT8JtEM2vXY5Dcyy+/nDPjVbuuN102TzQEVcnplzAaqC29Rg888MDAOqzwFzDzV+TM0wi5hx56KPeXv/wlt3jxYk9BnaCw2FonMyUhgED9BRgqwbwzkRBAAIEsC9xxxx1yzDHHuAjMH8LOJBCuzICFZcuWiT66Vpx0ogkzvlZxVlO+ZqiE6p3WW265RUaPHu15bE8fo7ziiiuqt2FaLgjoxDE6ZIrp2VTI0xfmyx4x4+S68ppxYeXKlc7kWKXH1qdPn9Is17IOObFu3TpXXnEdfTRdH6M2PXldZVioTOCvf/2rmDFeXZXNUx8ya9YsV14zL/z3f/+36KRixUmHQTBfqhZn+b7WYVF0aIXidNxxx8lNN91UnMVrCwHTY9SZ2LV4qBl9xFwngDI9wy1aaO4iBx10kJigoesgbe43zRM2ohPwmdCJq67+7utkhqTkBEyHBNfQCvpZr5/5JAQQqLNA/WPH7AECCCCAQD0FzJiWrm/XzcdSrtzEO6X7am6cPfVNYK20WFMu0+O2OqfVjMuWMzNHe64rM9N5dTZIq4EC2nte3xOK/2XlPOhjo8XHneTrefPmBZqzIpqAWpaem6FDh0ZrJOWlJ0yY4DF44YUXrI7KjDPqqXvsscda1aWQW8Bv2ImsDB3llvAumWC2M8xR8e+qDr2jEw7aJDN2uOc6veaaa2yqUsZSQCcsLD4/+vq2226zrE0xBBCopgBDJVRTl7YRQACBFAjojOmlN2pmQhPrPfcbI3f27NnW9dNckMBt8mdPx65t166d55ocMWJE4Ezzye8FLeYFfvrTn3rOhendl1/d1D91DMXS98akll9//fWmtqvlwennTel5OfLII2u5C3XflnlyxmNgnlqw2q/58+d76urnOimagOlln+vWrZvHkvHYNzg+/fTTHhv9fLFNjz32mKf+GWecYVudchYCRx11lMvY9BbPmYlLLWpSBAEEqi1A4LbawrSPAAIIpEDAPMbrulnTyZ8WLVpkted77rmnq66OV7ZmzRqrumkvROA22TOof5jp2IylQZivf/3rOTODfLIbozUrAQ3Slp4P7VWWhfThhx8GTuhSahJluWfPnjltm5SMgF8vx6yNKfqvf/3L83tqO9b8b3/7W0/d22+/PZmTk6FWbr75Zo/j5z//+QwJlD9U7blZ+j55/fXXl69UtFYnKyutb4ZOKirByzgC+kVl6USc9BaPI0pdBJIVYIxb8wlAQgABBLIucNJJJ4m5gXYxXHTRRXLeeee58koXzCRFcsABB7iyzWQ+8sgjj7jymnWBMW6TO7PPPfec6LVjZol3NarXl+lRJ5tuuqkrn4XqC7S0tMjuu+8upneoa2MPPPCAHHzwwa68Zl0wj/GKCbJGOjzTC0x03MZ82mqrrcRMCpNfFNOjXMyXY4VlXlQuoO8X5stDzzWqYwgPGzas8oZTVvPTTz+VzTffXD744IPCnuvyW2+9FTrO7YABA+TZZ58t1NMXf//73+ULX/iCK4+F8gJ6HT7//POuQnpfNXbsWFdeVhfMZFiy3377uQ5//PjxYiYhdeUFLTz44IPOOLfF62+88UYxX1AUZ/G6AgEzXIqYCQ7l7rvvdtVWcx2XmIQAAvUXIHBb/3PAHiCAAAJ1F9CJH0oDMR07dpQXX3xRTO8w3/3TyXf0DzszDqRrvU52dvTRR7vymnWBwG0yZ9bMNC1m5mLXhBjashn/TvTaLJ04J5mtZquV888/X8xs0s6kYhogt0mm16KYMQQ9Rd99913RCUxI/gJmLEa5+uqrCyvVSs1I5QX+8Y9/iE6oFWWyIfNor8yYMcPV8JZbbikLFy6U9u3bu/KbfeH4448XDWQVJ/0dnjx5cnGW6/WvfvUrT+Crb9++ol+k8eWCi6rsgn5ZbcZVdpXR61AD55tttpkrP6sLOmGbfpmgk17mkxrp51LQfWa+nH4xceCBB4p2FihOfMFQrFHZ69WrV4u+j+q9VnHabbfd5J///GdxFq8RQKCeAsl24KU1BBBAAIG0CvTr18/zGJqZBTn30ksveQ5JJ+3RcXDN55frn5mBPmdusD3lmzWDoRLin9nly5fndtxxR9d1pNeV6QWWW7VqVfwN0IIjYHrOFoxNkDz3m9/8JnBIE9M7NPetb32rUL7491zHGiaVF/jBD37gstP3CVK4gAkUOG46/I6Oz1ru9/9Pf/pTTq/j4msz//ree+8N31gTlvCbaFRNdLJRvwmgdHxRHcMy75b/+Yc//KEJdap7SPpIed4v//PMM8+s7kZT2Poee+zhcdI8E4ANPJply5bl/CbJ7Ny5c04n1iN5BXTcavPUXG7WrFllh+XRe/nS4c70+tV5BkwPaW/D5CCAQN0E6HFr3p1ICCCAAAIiM2fOlMMPP9yXonfv3rLvvvuK9o7QXlH6yJv2nihO2jvnoYcech53L85P++sxY8Z4Hn/MH9NTTz2Vf+n81Eeg/R4vVbsrr7zSVZaFDQI/+9nP5JxzzvHlaNOmjW9+UKYJNooZZzBodabzd911V5k3b57LQHsyDxw4UHr16iVdu3Z1ejxrmSeffFJ0mITSZALszu9Cly5dSlexXCRAj9sijAgvt99+e1fPZP3932effZzeeGbSJ52XQ8w4l85THqWPpOc3M27cOJkyZUp+MXM/9VF0/XwuTfr7P2jQINHPcv0dN7PHy2uvvVZaTI444ggxgW9PPhnBAmZ8YWdIGb0+80nvh9RX3zNJGwV+/etfy+jRozdm/OeV+QJBzFj2Tm97NdOhkd5++2155ZVXxHzJKGbeBE+dO++80+kp6llBhlx22WVivjhwJPTpOX0f7d+/v/OkjF6b77zzjpg5BXzfK7SSnqfvfOc7SCKAQAMJELhtoJPBriCAAAL1Fjj77LNl0qRJFe3GVVddJaanWUV1G7WS/rHQqVOn2Lunj+yWBrpjN9okDZx44okyderURI5GH7csHY81kYaboBF9jDfO2NP6x97cuXOdL3CagKOqh0DgtjLenXbayTUWcNRWNDChwYgsj4etAZm9997beUQ/qp+O0apBW4KN0eR0DNtp06a5Kumj5xpYJHkFNKCogcU4SccRj9tGnO03el3Tm17+93//t6Ld1HoXXnhhRXWphAAC1RMgcFs9W1pGAAEEUieg44hNmDDBCd7qpDw2SXvtaQ8nv14UNvUbuczKlSudXsZx91EnJzKP+8Vtpinrn3LKKYn1kNPAj/bII3kFdPKhUaNGiY4nHDXp5CT6R7Jfb/KobWWhPIHbys7y//zP/8jll18eufLWW28tOoazBtCi9tKPvLEUVNBxP3ViNh1f1SaZmeRFA2EarGnbtq1NFcr8R0DHZNae4qVPKPz5z3/mS66Aq0TvLU8//XTnC9uoEz/qGLmnnXaa/PjHP2YM5gBfzZ4+fboce+yxZUp4V+kXN1dccUXTPTXnPVJyEEinAIHbdJ439hoBBBCoqoA+aqmP9v/+978XnYTML2kwUh9N15voXXbZxa9IU+RpsEonaYuTBg8e7PRWjNNGs9adPXu2HHPMMa7Z0Cs9Vp0UTyfHI/kL6B/M999/v/MYpPaeXbJkiX9Bk6s9zc24184fyDopDMleoHT4D3UMerTfvtVslNThZ3S4E71O/R7lzyu0bt1adt55ZznyyCOdoVY0oEPaKKCf29dee61ccsklnkkf86XUUIdW0CDYkCFD8tn8jCCgk+DpMBTFgVuGm7AD1AkbdeK866+/XlasWFG2kg7lo8Og6GR7/K6XpXJW6gRw+mWrTj5YOoFwcW39nO/Tp4/jqkMj6JAVJAQQaEwBAreNeV7YKwQQQKAhBN577z3R3juLFy92gjzam0nHGtR/Goygd1NDnCZ2AoGKBHT8wDfffNP53TaTxImZ7EXMhITOv+22266iNqm0QUB72Ov7p457re+X2quRFE1g6dKlzpdmaqnXpz4RouMxa6BMf2rgkVReQMdd1eCimaxIFixY4AzZoz2U9ffbTAApW2yxRfkGWBsqoL1G9UswDZZpIGybbbYJrUMBt4D+jptJMZ1/Orat/m7rkB36FI3+0ye7SJUJ6PApL7zwgjOurZnwUXToLv2c1/dR/WwiIYBAOgQI3KbjPLGXCCCAAAIIIIAAAggggAACCCCAAAIIIJAhAQK3GTrZHCoCCCCAAAIIIIAAAggggAACCCCAAAIIpEOAwG06zhN7iQACCCCAAAIIIIAAAggggAACCCCAAAIZEiBwm6GTzaEigAACCCCAAAIIIIAAAggggAACCCCAQDoECNym4zyxlwgggAACCCCAAAIIIIAAAggggAACCCCQIQECtxk62RwqAggggAACCCCAAAIIIIAAAggggAACCKRDgMBtOs4Te4kAAggggAACCCCAAAIIIIAAAggggAACGRIgcJuhk82hIoAAAggggAACCCCAAAIIIIAAAggggEA6BAjcpuM8sZcIIIAAAggggAACCCCAAAIIIIAAAgggkCEBArcZOtkcKgIIIIAAAggggAACCCCAAAIIIIAAAgikQ4DAbTrOE3uJAAIIIIAAAggggAACCCCAAAIIIIAAAhkSIHCboZPNoSKAAAIIIIAAAggggAACCCCAAAIIIIBAOgQI3KbjPLGXCCCAAAIIIIAAAggggAACCCCAAAIIIJAhAQK3GTrZHCoCCCCAAAIIIIAAAggggAACCCCAAAIIpEOAwG06zhN7iQACCCCAAAIIIIAAAggggAACCCCAAAIZEiBwm6GTzaEigAACCCCAAAIIIIAAAggggAACCCCAQDoECNym4zyxlwgggAACCCCAAAIIIIAAAggggAACCCCQIQECtxk62RwqAggggAACCCCAAAIIIIAAAggggAACCKRDgMBtOs4Te4kAAggggAACCCCAAAIIIIAAAggggAACGRIgcJuhk82hIoAAAggggAACCCCAAAIIIIAAAggggEA6BAjcpuM8sZcIIIAAAggggAACCCCAAAIIIIAAAgggkCEBArcZOtkcKgIIIIAAAggggAACCCCAAAIIIIAAAgikQ4DAbTrOE3uJAAIIIIAAAggggAACCCCAAAIIIIAAAhkSIHCboZPNoSKAAAIIIIAAAggggAACCCCAAAIIIIBAOgQI3KbjPLGXCCCAAAIIIIAAAggggAACCCCAAAIIIJAhAQK3GTrZHCoCCCCAAAIIIIAAAggggAACCCCAAAIIpEOAwG06zhN7iQACCCCAAAIIIIAAAggggAACCCCAAAIZEiBwm6GTzaEigAACCCCAAAIIIIAAAggggAACCCCAQDoECNym4zyxlwgggAACCCCAAAIIIIAAAggggAACCCCQIQECtxk62RwqAggggAACCCCAAAIIIIAAAggggAACCKRDgMBtOs4Te4kAAggggAACCCCAAAIIIIAAAggggAACGRIgcJuhk82hIoAAAggggAACCCCAAAIIIIAAAggggEA6BP4fDehKg8rqImcAAAAASUVORK5CYII=\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":52819,"title":"Easy Sequences 30: Nearly Pythagorean Triangles","description":"A Nearly Pythagorean Triangle (abbreviated as \"NPT'), is an integer-sided triangle whose square of the longest side, which we will call as its 'hypotenuse', is  more than the sum of square of the shorter sides. This means that if  is the hypotenuse and  and  are the shorter sides, , satisfies the following equation: \r\n        \r\n        where:  \r\nThe smallest  is the triangle , with . Other examples are , , and . \r\nUnfortunately, unlike Pythagorean Triangles, a 'closed formula' for generating all possible 's, has not yet been discovered, at the time of this writing. For this exercise, we will be dealing with 's with a known ratio of the shorter sides: . \r\nGiven the value of , find the  with the second smallest perimeter. For example for , that is , the smallest perimeter is , while the second smallest perimeter is , for the  with dimensions . Please present your output as vector , where  is the smallest side of the , and  is the hypotenuse.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440000534057617px; 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=\"block-size: 318px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; 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; text-align: left; 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; \"\u003e\u003cspan style=\"\"\u003eA Nearly Pythagorean Triangle (abbreviated as \"NPT'), is an i\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; \"\u003e\u003cspan style=\"text-decoration: underline; text-decoration-line: underline; \"\u003enteger-sided \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; \"\u003e\u003cspan style=\"\"\u003etriangle whose square of the longest side, which we will call as its 'hypotenuse', is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: normal; color: rgb(0, 0, 0);\"\u003e1\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; \"\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; \"\u003e\u003cspan style=\"text-decoration: underline; text-decoration-line: underline; \"\u003emore\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; \"\u003e\u003cspan style=\"\"\u003e than the sum of square of the shorter sides. This means that if \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003ec\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; \"\u003e\u003cspan style=\"\"\u003e is the hypotenuse and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003ea\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; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003eb\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; \"\u003e\u003cspan style=\"\"\u003e are the shorter sides, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"33\" height=\"18\" style=\"width: 33px; height: 18px;\"\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; \"\u003e\u003cspan style=\"\"\u003e, satisfies the following equation: \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; 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; \"\u003e\u003cspan style=\"\"\u003e        \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"99.5\" height=\"19\" style=\"width: 99.5px; height: 19px;\"\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; text-align: left; 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; \"\u003e\u003cspan style=\"\"\u003e        where:  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"62\" height=\"18\" style=\"width: 62px; height: 18px;\"\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; text-align: left; 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; \"\u003e\u003cspan style=\"\"\u003eThe smallest \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEIAAAAkCAYAAAA9+eyvAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAAAQqADAAQAAAABAAAAJAAAAAD+3wP6AAAEPklEQVRoBe1Xa2iOYRj+NrLI+ZBjGiN/nJUh5JBSJCzlUPaLcijlhyW0zQ/80BJGDmWK5AfjB5vRbDVmfpCVTZgtOa1QjsPmcF167rp7PO/7fu+3b/nz3nXtuQ/Xfb/Pe7/P4VssFknUgagDUQeiDkQdiDoQsgMpAfwMxO8CnSzeDNh1lk/Mq1AYtyUHjmPAHOACYNeE66+04G8j0AA8BZjzBtByDUamdoTUD4O/M2ROrA8StgK/FVjIT8Yh2Aowhy80BdDSFUYBoGs+gL0O2AJcUbF30FcDIj2gSO026NUA57MXqAJ0zTzYuwA27isgsWzoCcsdZEqhj9C7B1Tii5Gf5cGbb+JSc6rF22zFp5v4EuOvwTjY+GQ4bmKsydWkpSeMRwBjQ3QgjN4Z5A+ATJrjBp8C/OLfgPcAc12yHU6p1wzd3qa0uZqEswc65RDwDOhGw5JG2MIvtGI084GHDn8s1eV0+Ljn2VG+nIhfI2aBlAaUAFy+LuGKECmDwhfQQrteOYQ/Dz7uby51LaNgpCtHqdJF5Za6IUYiI78GJ7YIkP1Jmy/skv1wMr7KFYSPX5NNJYdYA7jkPpzCqTSEERhTHOSNivsdumvrjoE/HUhY7iGTJzcnwBNfJncOuktq4eRK6OsKwseGSo1f0Ac4eDwUfyreNgdHu4oVt1wHkqUPQiFO9qwpyKUpL/ED+kDjl4EHGOO3xOEYDxoOebyeXcKzQJ7zGfpQF8n47DMsx4ebcGgtMjmhbFWhzvjo36H8VIXPfewljxGQl9xtkfrDPqri/AjLLY5t8gyTehwn2IRk2Fz+LK6/iL7aniOmfxydMfzJGF0yEk49aZ4Dp4GLQBXAVSbx29AXAEGSB4LkvAoiJxJPRdJbwL5yeIN8AuThS6FTeIbwKnxtdAz/CG8byWuBXgHUAvXATaAIyAfkloAaKNyGUrMokJ0AIdM84IAj94iJcQJlJj7R+E4Z2zVcNhzmXXIRQvp6gd8KSCNWhsyPi55rHsBT3paxcMjDuY9HAzzZ6VsBuKQLnHol8cprr3A1yjx4y/Rrb0FXfjWc3LOuO5n8CkAmUQCdP1b4dfiVXDIXTuFzzHCRQvoKVc2akLlx0dlZdrjSh80vLy8mP5D8+PsUv8GnbpjQE1XTvoHirsPD0EsWI8D4dS8C/MWAnNJphlfiw1+oYnKuKFdoNR0Z/GktUipKMkdeZ/za0wKK5hqerIzxHnz5oSW8LA9eGPd69ewv0PU1HqaOJ3c4InKf8/8CP+ELCveFD1Ffm2wG89or5SggjeVvkKRKb1TjspUHcIukBDzhvOGf8OBx+TYZjtTV28QjzdPNwzvfqtcIe5hnRsjATPDl68qEOTYDfs2YjTh5ywBb9O8NXZN6k02Owz4JThtg1xL7JWKT4qjTYZRNqOx1zXbYQ6PCUQeiDkQdiDoQdSDqQNSB/92BP9fQRStWxlTRAAAAAElFTkSuQmCC\" width=\"33\" height=\"18\" style=\"width: 33px; height: 18px;\"\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; \"\u003e\u003cspan style=\"\"\u003e is the triangle \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"48.5\" height=\"19\" style=\"width: 48.5px; height: 19px;\"\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; \"\u003e\u003cspan style=\"\"\u003e, with \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"100.5\" height=\"19\" style=\"width: 100.5px; height: 19px;\"\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; \"\u003e\u003cspan style=\"\"\u003e. Other examples are \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" 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width=\"108.5\" height=\"19\" style=\"width: 108.5px; height: 19px;\"\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; \"\u003e\u003cspan style=\"\"\u003e. \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; text-align: left; 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; \"\u003e\u003cspan style=\"\"\u003eUnfortunately, unlike Pythagorean Triangles, a 'closed formula' for generating all possible \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEIAAAAkCAYAAAA9+eyvAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAAAQqADAAQAAAABAAAAJAAAAAD+3wP6AAAEPklEQVRoBe1Xa2iOYRj+NrLI+ZBjGiN/nJUh5JBSJCzlUPaLcijlhyW0zQ/80BJGDmWK5AfjB5vRbDVmfpCVTZgtOa1QjsPmcF167rp7PO/7fu+3b/nz3nXtuQ/Xfb/Pe7/P4VssFknUgagDUQeiDkQdiDoQsgMpAfwMxO8CnSzeDNh1lk/Mq1AYtyUHjmPAHOACYNeE66+04G8j0AA8BZjzBtByDUamdoTUD4O/M2ROrA8StgK/FVjIT8Yh2Aowhy80BdDSFUYBoGs+gL0O2AJcUbF30FcDIj2gSO026NUA57MXqAJ0zTzYuwA27isgsWzoCcsdZEqhj9C7B1Tii5Gf5cGbb+JSc6rF22zFp5v4EuOvwTjY+GQ4bmKsydWkpSeMRwBjQ3QgjN4Z5A+ATJrjBp8C/OLfgPcAc12yHU6p1wzd3qa0uZqEswc65RDwDOhGw5JG2MIvtGI084GHDn8s1eV0+Ljn2VG+nIhfI2aBlAaUAFy+LuGKECmDwhfQQrteOYQ/Dz7uby51LaNgpCtHqdJF5Za6IUYiI78GJ7YIkP1Jmy/skv1wMr7KFYSPX5NNJYdYA7jkPpzCqTSEERhTHOSNivsdumvrjoE/HUhY7iGTJzcnwBNfJncOuktq4eRK6OsKwseGSo1f0Ac4eDwUfyreNgdHu4oVt1wHkqUPQiFO9qwpyKUpL/ED+kDjl4EHGOO3xOEYDxoOebyeXcKzQJ7zGfpQF8n47DMsx4ebcGgtMjmhbFWhzvjo36H8VIXPfewljxGQl9xtkfrDPqri/AjLLY5t8gyTehwn2IRk2Fz+LK6/iL7aniOmfxydMfzJGF0yEk49aZ4Dp4GLQBXAVSbx29AXAEGSB4LkvAoiJxJPRdJbwL5yeIN8AuThS6FTeIbwKnxtdAz/CG8byWuBXgHUAvXATaAIyAfkloAaKNyGUrMokJ0AIdM84IAj94iJcQJlJj7R+E4Z2zVcNhzmXXIRQvp6gd8KSCNWhsyPi55rHsBT3paxcMjDuY9HAzzZ6VsBuKQLnHol8cprr3A1yjx4y/Rrb0FXfjWc3LOuO5n8CkAmUQCdP1b4dfiVXDIXTuFzzHCRQvoKVc2akLlx0dlZdrjSh80vLy8mP5D8+PsUv8GnbpjQE1XTvoHirsPD0EsWI8D4dS8C/MWAnNJphlfiw1+oYnKuKFdoNR0Z/GktUipKMkdeZ/za0wKK5hqerIzxHnz5oSW8LA9eGPd69ewv0PU1HqaOJ3c4InKf8/8CP+ELCveFD1Ffm2wG89or5SggjeVvkKRKb1TjspUHcIukBDzhvOGf8OBx+TYZjtTV28QjzdPNwzvfqtcIe5hnRsjATPDl68qEOTYDfs2YjTh5ywBb9O8NXZN6k02Owz4JThtg1xL7JWKT4qjTYZRNqOx1zXbYQ6PCUQeiDkQdiDoQdSDqQNSB/92BP9fQRStWxlTRAAAAAElFTkSuQmCC\" width=\"33\" height=\"18\" style=\"width: 33px; height: 18px;\"\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; \"\u003e\u003cspan style=\"\"\u003e's, has not yet been discovered, at the time of this writing. For this exercise, we will be dealing with \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEIAAAAkCAYAAAA9+eyvAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAAAQqADAAQAAAABAAAAJAAAAAD+3wP6AAAEPklEQVRoBe1Xa2iOYRj+NrLI+ZBjGiN/nJUh5JBSJCzlUPaLcijlhyW0zQ/80BJGDmWK5AfjB5vRbDVmfpCVTZgtOa1QjsPmcF167rp7PO/7fu+3b/nz3nXtuQ/Xfb/Pe7/P4VssFknUgagDUQeiDkQdiDoQsgMpAfwMxO8CnSzeDNh1lk/Mq1AYtyUHjmPAHOACYNeE66+04G8j0AA8BZjzBtByDUamdoTUD4O/M2ROrA8StgK/FVjIT8Yh2Aowhy80BdDSFUYBoGs+gL0O2AJcUbF30FcDIj2gSO026NUA57MXqAJ0zTzYuwA27isgsWzoCcsdZEqhj9C7B1Tii5Gf5cGbb+JSc6rF22zFp5v4EuOvwTjY+GQ4bmKsydWkpSeMRwBjQ3QgjN4Z5A+ATJrjBp8C/OLfgPcAc12yHU6p1wzd3qa0uZqEswc65RDwDOhGw5JG2MIvtGI084GHDn8s1eV0+Ljn2VG+nIhfI2aBlAaUAFy+LuGKECmDwhfQQrteOYQ/Dz7uby51LaNgpCtHqdJF5Za6IUYiI78GJ7YIkP1Jmy/skv1wMr7KFYSPX5NNJYdYA7jkPpzCqTSEERhTHOSNivsdumvrjoE/HUhY7iGTJzcnwBNfJncOuktq4eRK6OsKwseGSo1f0Ac4eDwUfyreNgdHu4oVt1wHkqUPQiFO9qwpyKUpL/ED+kDjl4EHGOO3xOEYDxoOebyeXcKzQJ7zGfpQF8n47DMsx4ebcGgtMjmhbFWhzvjo36H8VIXPfewljxGQl9xtkfrDPqri/AjLLY5t8gyTehwn2IRk2Fz+LK6/iL7aniOmfxydMfzJGF0yEk49aZ4Dp4GLQBXAVSbx29AXAEGSB4LkvAoiJxJPRdJbwL5yeIN8AuThS6FTeIbwKnxtdAz/CG8byWuBXgHUAvXATaAIyAfkloAaKNyGUrMokJ0AIdM84IAj94iJcQJlJj7R+E4Z2zVcNhzmXXIRQvp6gd8KSCNWhsyPi55rHsBT3paxcMjDuY9HAzzZ6VsBuKQLnHol8cprr3A1yjx4y/Rrb0FXfjWc3LOuO5n8CkAmUQCdP1b4dfiVXDIXTuFzzHCRQvoKVc2akLlx0dlZdrjSh80vLy8mP5D8+PsUv8GnbpjQE1XTvoHirsPD0EsWI8D4dS8C/MWAnNJphlfiw1+oYnKuKFdoNR0Z/GktUipKMkdeZ/za0wKK5hqerIzxHnz5oSW8LA9eGPd69ewv0PU1HqaOJ3c4InKf8/8CP+ELCveFD1Ffm2wG89or5SggjeVvkKRKb1TjspUHcIukBDzhvOGf8OBx+TYZjtTV28QjzdPNwzvfqtcIe5hnRsjATPDl68qEOTYDfs2YjTh5ywBb9O8NXZN6k02Owz4JThtg1xL7JWKT4qjTYZRNqOx1zXbYQ6PCUQeiDkQdiDoQdSDqQNSB/92BP9fQRStWxlTRAAAAAElFTkSuQmCC\" width=\"33\" height=\"18\" style=\"width: 33px; height: 18px;\"\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; \"\u003e\u003cspan style=\"\"\u003e's with a known ratio of the shorter sides: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"50.5\" height=\"19\" style=\"width: 50.5px; height: 19px;\"\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; \"\u003e\u003cspan style=\"\"\u003e. \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; text-align: left; 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; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eGiven the value of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003er\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; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e, find the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEIAAAAkCAYAAAA9+eyvAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAAAQqADAAQAAAABAAAAJAAAAAD+3wP6AAAEPklEQVRoBe1Xa2iOYRj+NrLI+ZBjGiN/nJUh5JBSJCzlUPaLcijlhyW0zQ/80BJGDmWK5AfjB5vRbDVmfpCVTZgtOa1QjsPmcF167rp7PO/7fu+3b/nz3nXtuQ/Xfb/Pe7/P4VssFknUgagDUQeiDkQdiDoQsgMpAfwMxO8CnSzeDNh1lk/Mq1AYtyUHjmPAHOACYNeE66+04G8j0AA8BZjzBtByDUamdoTUD4O/M2ROrA8StgK/FVjIT8Yh2Aowhy80BdDSFUYBoGs+gL0O2AJcUbF30FcDIj2gSO026NUA57MXqAJ0zTzYuwA27isgsWzoCcsdZEqhj9C7B1Tii5Gf5cGbb+JSc6rF22zFp5v4EuOvwTjY+GQ4bmKsydWkpSeMRwBjQ3QgjN4Z5A+ATJrjBp8C/OLfgPcAc12yHU6p1wzd3qa0uZqEswc65RDwDOhGw5JG2MIvtGI084GHDn8s1eV0+Ljn2VG+nIhfI2aBlAaUAFy+LuGKECmDwhfQQrteOYQ/Dz7uby51LaNgpCtHqdJF5Za6IUYiI78GJ7YIkP1Jmy/skv1wMr7KFYSPX5NNJYdYA7jkPpzCqTSEERhTHOSNivsdumvrjoE/HUhY7iGTJzcnwBNfJncOuktq4eRK6OsKwseGSo1f0Ac4eDwUfyreNgdHu4oVt1wHkqUPQiFO9qwpyKUpL/ED+kDjl4EHGOO3xOEYDxoOebyeXcKzQJ7zGfpQF8n47DMsx4ebcGgtMjmhbFWhzvjo36H8VIXPfewljxGQl9xtkfrDPqri/AjLLY5t8gyTehwn2IRk2Fz+LK6/iL7aniOmfxydMfzJGF0yEk49aZ4Dp4GLQBXAVSbx29AXAEGSB4LkvAoiJxJPRdJbwL5yeIN8AuThS6FTeIbwKnxtdAz/CG8byWuBXgHUAvXATaAIyAfkloAaKNyGUrMokJ0AIdM84IAj94iJcQJlJj7R+E4Z2zVcNhzmXXIRQvp6gd8KSCNWhsyPi55rHsBT3paxcMjDuY9HAzzZ6VsBuKQLnHol8cprr3A1yjx4y/Rrb0FXfjWc3LOuO5n8CkAmUQCdP1b4dfiVXDIXTuFzzHCRQvoKVc2akLlx0dlZdrjSh80vLy8mP5D8+PsUv8GnbpjQE1XTvoHirsPD0EsWI8D4dS8C/MWAnNJphlfiw1+oYnKuKFdoNR0Z/GktUipKMkdeZ/za0wKK5hqerIzxHnz5oSW8LA9eGPd69ewv0PU1HqaOJ3c4InKf8/8CP+ELCveFD1Ffm2wG89or5SggjeVvkKRKb1TjspUHcIukBDzhvOGf8OBx+TYZjtTV28QjzdPNwzvfqtcIe5hnRsjATPDl68qEOTYDfs2YjTh5ywBb9O8NXZN6k02Owz4JThtg1xL7JWKT4qjTYZRNqOx1zXbYQ6PCUQeiDkQdiDoQdSDqQNSB/92BP9fQRStWxlTRAAAAAElFTkSuQmCC\" width=\"33\" height=\"18\" style=\"width: 33px; height: 18px;\"\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; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e with 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; \"\u003e\u003cspan style=\"font-weight: bold; text-decoration: underline; text-decoration-line: underline; \"\u003esecond smallest\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; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e perimeter. \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; \"\u003e\u003cspan style=\"\"\u003eFor example for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"35.5\" height=\"18\" style=\"width: 35.5px; height: 18px;\"\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; \"\u003e\u003cspan style=\"\"\u003e, that is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"44\" height=\"18\" style=\"width: 44px; height: 18px;\"\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; \"\u003e\u003cspan style=\"\"\u003e, the smallest perimeter is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"18\" height=\"18\" style=\"width: 18px; height: 18px;\"\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; \"\u003e\u003cspan style=\"\"\u003e, while the second smallest perimeter is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"25.5\" height=\"18\" style=\"width: 25.5px; height: 18px;\"\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; \"\u003e\u003cspan style=\"\"\u003e, for the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"33\" height=\"18\" style=\"width: 33px; height: 18px;\"\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; \"\u003e\u003cspan style=\"\"\u003e with dimensions \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"86\" height=\"19\" style=\"width: 86px; height: 19px;\"\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; \"\u003e\u003cspan style=\"\"\u003e. Please present your output as vector \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"47.5\" height=\"19\" style=\"width: 47.5px; height: 19px;\"\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; \"\u003e\u003cspan style=\"\"\u003e, where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003ea\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; \"\u003e\u003cspan style=\"\"\u003e is the smallest side of the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"33\" height=\"18\" style=\"width: 33px; height: 18px;\"\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; \"\u003e\u003cspan style=\"\"\u003e, and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003ec\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; \"\u003e\u003cspan style=\"\"\u003e is the hypotenuse.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function dim = secondNPT(r)\r\n    dim = [a b c];\r\nend","test_suite":"%%\r\nr = 1;\r\ndim_correct = [12 12 17];\r\nassert(isequal(secondNPT(r),dim_correct))\r\n%%\r\nr = 2;\r\ndim_correct = [72 144 161];\r\nassert(isequal(secondNPT(r),dim_correct))\r\n%%\r\nr = 3;\r\ndim_correct = [228 684 721];\r\nassert(isequal(secondNPT(r),dim_correct))\r\n%%\r\nr = 10;\r\ndim_correct = [8040 80400 80801];\r\nassert(isequal(secondNPT(r),dim_correct))\r\n%%\r\nrs = 11:50;\r\nperimeters = arrayfun(@(r) sum(secondNPT(r)),rs);\r\nps = [sum(perimeters) perimeters(5:5:end) floor(std(perimeters))];\r\nps_correct = [1063757512 839761 2628881 6382601 13186921 24367841 41491361 66363481 101030201 29441861];\r\nassert(isequal(ps,ps_correct))\r\n%%\r\nr = 123;\r\ndim_correct = [14887428 1831153644 1831214161];\r\nassert(isequal(secondNPT(r),dim_correct))\r\n%%\r\nr = 456;\r\ndim_correct = [758552352 345899872512 345900704257];\r\nassert(isequal(secondNPT(r),dim_correct))\r\n%%\r\nfiletext = fileread('secondNPT.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":22,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-28T08:20:06.000Z","updated_at":"2026-01-19T18:12:41.000Z","published_at":"2021-09-28T09:58:54.000Z","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 Nearly Pythagorean Triangle (abbreviated as \\\"NPT'), is an i\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003enteger-sided \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003etriangle whose square of the longest side, which we will call as its 'hypotenuse', is \u003c/w:t\u003e\u003c/w:r\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\u003e1\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\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003emore\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e than the sum of square of the shorter sides. This means that if \u003c/w:t\u003e\u003c/w:r\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\u003ec\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the hypotenuse and \u003c/w:t\u003e\u003c/w:r\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\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\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\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e are the shorter sides, \u003c/w:t\u003e\u003c/w:r\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\u003eNPT\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, satisfies the following equation: \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e        \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ec^2 = a^2+b^2+1\u003c/w:t\u003e\u003c/w:r\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\u003e        where:  \u003c/w:t\u003e\u003c/w:r\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\u003ea \\\\le b \u0026lt; c\u003c/w:t\u003e\u003c/w:r\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 smallest \u003c/w:t\u003e\u003c/w:r\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\u003eNPT\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the triangle \u003c/w:t\u003e\u003c/w:r\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[2,2,3]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, with \u003c/w:t\u003e\u003c/w:r\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\u003e3^2=2^2+2^2+1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Other examples are \u003c/w:t\u003e\u003c/w:r\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[4,8,9]\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\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[18,30,35]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and \u003c/w:t\u003e\u003c/w:r\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[649,1080,1260]\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\u003eUnfortunately, unlike Pythagorean Triangles, a 'closed formula' for generating all possible \u003c/w:t\u003e\u003c/w:r\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\u003eNPT\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e's, has not yet been discovered, at the time of this writing. For this exercise, we will be dealing with \u003c/w:t\u003e\u003c/w:r\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\u003eNPT\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e's with a known ratio of the shorter sides: \u003c/w:t\u003e\u003c/w:r\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\u003er = b/a\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven the value of \u003c/w:t\u003e\u003c/w:r\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\u003er\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, find the \u003c/w:t\u003e\u003c/w:r\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\u003eNPT\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e with the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003esecond smallest\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e perimeter. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eFor example for \u003c/w:t\u003e\u003c/w:r\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\u003er = 2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, that is \u003c/w:t\u003e\u003c/w:r\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\u003eb = 2a\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the smallest perimeter is \u003c/w:t\u003e\u003c/w:r\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\u003e21\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, while the second smallest perimeter is \u003c/w:t\u003e\u003c/w:r\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\u003e377\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, for the \u003c/w:t\u003e\u003c/w:r\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\u003eNPT\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e with dimensions \u003c/w:t\u003e\u003c/w:r\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[72,144,161]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Please present your output as vector \u003c/w:t\u003e\u003c/w:r\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[a,b,c]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, where \u003c/w:t\u003e\u003c/w:r\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\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the smallest side of the \u003c/w:t\u003e\u003c/w:r\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\u003eNPT\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and \u003c/w:t\u003e\u003c/w:r\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\u003ec\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the hypotenuse.\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":52839,"title":"Easy Sequences 33: Web Trapped Ant","description":"An ant is trapped on a spider web inside a can with open top. The can has a radius  and height . A spider sitting on the outside face of the can, sensed the trapped ant and started crawling towards it. The relative positions of the ant and spider are shown in the figure below.\r\n                         \r\n is the initial distance of the spider from the from the bottom of the can,  is the distance of the ant from the top of the can, and  and , are the y-offsets of the spider and ant, respectively, from the center of the circular top.\r\nIf the spider moves at a constant crawling speed, calculate the total length of the path to reach the ant at the quickest possible time. Please round-off your answer to the nearest four decimal places.\r\nCLARIFICATIONS: \r\nIt is understood there can be 2 possible positions, given a single y-offset. In this exercise please consider only the position as drawn above. That means at the top view, the ant and the spidert shall only be within the first and third quadrant, respectively.\r\nThe dotted lines is not the spider's path. They are used only to project the heights to the side.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440000534057617px; 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=\"block-size: 609px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; 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; text-align: left; 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; \"\u003e\u003cspan style=\"\"\u003eAn \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; \"\u003e\u003cspan style=\"text-decoration: underline; text-decoration-line: underline; \"\u003eant 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; \"\u003e\u003cspan style=\"\"\u003e trapped on a spider web \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; \"\u003e\u003cspan style=\"text-decoration: underline; text-decoration-line: underline; \"\u003einside\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; \"\u003e\u003cspan style=\"\"\u003e a can with open top. The can has a radius \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003eR\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; \"\u003e\u003cspan style=\"\"\u003e and height \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003eH\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; \"\u003e\u003cspan style=\"\"\u003e. A \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; \"\u003e\u003cspan style=\"text-decoration: underline; text-decoration-line: underline; \"\u003espider sitting\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; \"\u003e\u003cspan style=\"\"\u003e on 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; \"\u003e\u003cspan style=\"text-decoration: underline; text-decoration-line: underline; \"\u003eoutside\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; \"\u003e\u003cspan style=\"\"\u003e face of the can, sensed the trapped ant and started crawling towards it. The relative positions of the ant and spider are shown in the figure below.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 315px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; 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; \"\u003e\u003cspan style=\"\"\u003e                         \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"551\" height=\"309\" style=\"vertical-align: baseline;width: 551px;height: 309px\" 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src=\"data:image/png;base64,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\" width=\"18\" height=\"18\" style=\"width: 18px; height: 18px;\"\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; \"\u003e\u003cspan style=\"\"\u003e is the distance of the ant from the top of the can, and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"16.5\" height=\"18\" style=\"width: 16.5px; height: 18px;\"\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; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"18\" height=\"18\" style=\"width: 18px; height: 18px;\"\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; \"\u003e\u003cspan style=\"\"\u003e, are the y-offsets of the spider and ant, respectively, from the center of the circular top.\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; text-align: left; 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; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eIf the spider moves at a constant crawling speed, calculate the total length of the path to reach the ant at the quickest possible time. \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; \"\u003e\u003cspan style=\"\"\u003ePlease round-off your answer to the nearest four decimal places.\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; text-align: left; 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; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eCLARIFICATIONS: \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 80px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 60px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; text-align: left; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; \"\u003e\u003cspan style=\"\"\u003eIt is understood there can be 2 possible positions, given a single y-offset. In this exercise please consider only the position as drawn above. That means at the top view, the ant and the spidert shall only be within the first and third quadrant, respectively.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; text-align: left; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; \"\u003e\u003cspan style=\"\"\u003eThe dotted lines is not the spider's path. They are used only to project the heights to the side.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function s = spiderPath(H,R,hs,ha,xs,xa)\r\n    y = x;\r\nend","test_suite":"%%\r\nH = 10; R = 5; hs = 1; ha = 1; xs = 1; xa = 1;\r\ns_correct = 18.6210;\r\nassert(isequal(spiderPath(H,R,hs,ha,xs,xa),s_correct))\r\n%%\r\nH = 5; R = 2; hs = 0.3; ha = 0.4; xs = 0.5; xa = 0.6;\r\ns_correct = 8.0120;\r\nassert(isequal(spiderPath(H,R,hs,ha,xs,xa),s_correct))\r\n%%\r\nH = 15.5; R = 5.5; hs = 3; ha = 2.5; xs = 1.5; xa = 1;\r\ns_correct = 22.4960;\r\nassert(isequal(spiderPath(H,R,hs,ha,xs,xa),s_correct))\r\n%%\r\nH = 123; R = 123; hs = 12; ha = 25; xs = 30; xa = 40;\r\ns_correct = 399.8218;\r\nassert(isequal(spiderPath(H,R,hs,ha,xs,xa),s_correct))\r\n%%\r\nH = linspace(5,150,50); R = linspace(5,120,50); \r\nhs = linspace(0.5,10,50); ha = linspace(0.5,20,100); \r\nxs = linspace(0.4,12,50); xa = linspace(0.4,10,50);\r\ns = sum(arrayfun(@(i) spiderPath(H(i),R(i),hs(i),ha(i),xs(i),xa(i)),1:50));\r\ns_correct = 10509.4142;\r\nassert(isequal(s,s_correct))","published":true,"deleted":false,"likes_count":2,"comments_count":8,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":14,"test_suite_updated_at":"2021-10-02T18:43:11.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-30T07:18:49.000Z","updated_at":"2026-02-07T13:53:16.000Z","published_at":"2021-09-30T08:12:11.000Z","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\u003eAn \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eant is\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e trapped on a spider web \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003einside\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e a can with open top. The can has a radius \u003c/w:t\u003e\u003c/w:r\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\u003eR\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and height \u003c/w:t\u003e\u003c/w:r\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\u003eH\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. A \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003espider sitting\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e on the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eoutside\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e face of the can, sensed the trapped ant and started crawling towards it. The relative positions of the ant and spider are shown 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: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=\\\"309\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"551\\\"/\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: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\u003ehs\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the initial distance of the spider from the from the bottom of the can, \u003c/w:t\u003e\u003c/w:r\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\u003eha\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the distance of the ant from the top of the can, and \u003c/w:t\u003e\u003c/w:r\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\u003exs\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\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\u003exa\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, are the y-offsets of the spider and ant, respectively, from the center of the circular top.\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\u003eIf the spider moves at a constant crawling speed, calculate the total length of the path to reach the ant at the quickest possible time. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ePlease round-off your answer to the nearest four decimal places.\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\u003eCLARIFICATIONS: \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\u003eIt is understood there can be 2 possible positions, given a single y-offset. In this exercise please consider only the position as drawn above. That means at the top view, the ant and the spidert shall only be within the first and third quadrant, respectively.\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 dotted lines is not the spider's path. They are used only to project the heights to the 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Sequences 34: Modified Pascal's Triangle","description":"Consider the integer triangle below:\r\n                                                                    \r\nIt follows the same rule as Pascal's Triangle, except that instead of affixing 1's at the sides of each row, the row number minus 1, is affixed (on first row 0 is affixed; at row 2, 1 is affixed on each side, etc.). Any inner number, as in Pascal's Triangle, is the sum of the left and right numbers on its previous row. \r\nGiven a number  find , which is the sum of the n-th row. Hence,  and . \r\nWe could be getting large numbers here, therefore please concatenate the total number of digits with the last 3 digits of  and output a single concatenated integer. For example the , hence the output should be .","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440000534057617px; 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=\"block-size: 347px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; 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; text-align: left; 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; \"\u003e\u003cspan style=\"\"\u003eConsider the integer triangle below:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 164px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; 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; \"\u003e\u003cspan style=\"\"\u003e                                                                    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\" data-image-state=\"image-loaded\"\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; text-align: left; 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; \"\u003e\u003cspan style=\"\"\u003eIt follows the same rule as \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Pascal's_triangle\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePascal's Triangle\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; \"\u003e\u003cspan style=\"\"\u003e, except that instead of affixing 1's at the sides of each row, the row number minus 1, is affixed (on first row 0 is affixed; at row 2, 1 is affixed on each side, etc.). Any inner number, as in Pascal's Triangle, is the sum of the left and right numbers on its previous row. \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; text-align: left; 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; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eGiven a number \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003en\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; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e find \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"30.5\" height=\"19\" style=\"width: 30.5px; height: 19px;\"\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; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e, which is the sum of the n-th row.\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; \"\u003e\u003cspan style=\"\"\u003e Hence, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"56.5\" height=\"19\" style=\"width: 56.5px; height: 19px;\"\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; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIAAAAAmCAYAAAAMe5M4AAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAAAgKADAAQAAAABAAAAJgAAAAC36W5BAAAF7UlEQVR4Ae2Za4iWRRTHXy3NrrZpNzVbqZRqEcwKaiOVoiSivlgYIqzah5A1kqgPRUhWJAlFadAdyepDWVFRH8JY6EZkZhfpIgVquZUlpUloSfX72wwMz87Mc3mf13yXOfDfmeecM2dm/s955vJuo5EkMZAYSAwkBhIDiYHEQGIgMdBiBkYR/zWwpKZ+5hDnfTChpngpTIQBvbxucDU4F3QAKzOpnGAfAqX8vwKfg5EBH596AcpVoMtjPBTd62A7OM1jb2dVJ4O/H4xuYhIx7gqHnYTnq+CfDPbx3Af0RcumxIjJKxj7wfiYU8Z2Hs9/AcW/LGOzj0dR+RhsACOsso3LUxj7o+BPoHmfDqpIEe5y42pp/RVoIFvAbDAGTAQ3gD+AbMI4EJLFGJQwU0MOHv2R6DYBGz+UAGqqMf0IntRDm8pYxr0S7AV2ziqrJEAZ7ugiLH2YNAi9vMket2uN/SePzarOp6JsfsoqCpaP4ecSEUsAhbzR+M/XQxvKi4z5LjAX2FWvagKU5c5L1+HOQL70ejQaw9DvAG8E7EPQfw2UAJ2gqGg70eR1ZrBJkJcAWv63gd1A20I7y0YGb+dddgUoxd3QCEs6dOmQJdFgfKJM1Qte7zOiuwhou3gWbAZF5CScngBvghVFGhifPZQ6NGn508rUzqIkriKluYslwM/OCM6k3u08u9V+Hj5yFU5dy5lEJ/Wioq1C45oHQokXimVXop6QwyDXN8Odlxpdr+xStJX6iV4vv1JL8m/gbzDK7zJA24tG/c0yloXmWbq8LcA0afxg2pRdOm37g6H8wMxB8y46j0rcxVYAEfG4/hjR9WQtKPoyL8B3JPgE6JyQJ2fhcB94GqzJc47Y+4xtRsRnsJkqc2f3+BAhSzGISL1MSRfQ3izdLhCT8cb4RczJ2IZT6pywHSwyuqqFDo4SJWxZeYkG08o28vjrDPKWR98KVVPc5SXAXkZ8FXgPTDSjP4dSP+rMBLKHZJwxFPn678Z3MpgO8hILl6jY/mz/UeeM8Wiej8voqjwOq9KoYpumuMtLAI3pF6D9911gSZ1O/RGgg1pIxhqD2sdEq8nNYDl4J+ZY0NZMAiyjjxcK9hNzWx8z1mirm7vo0HQT0M1ABxML3TlD8jIG+fWGHNAfC7aCDUBLWVYWorB9KQmLiFYmtVlXxPkg9SlyCKyFuyIrgOVIPwbNBjoDDDXKWym1HfjE3mVH+IxG9yCl9uoHgLI5K1McxVTqQ8zzZ5Q67ftEP2BJ9v1XDNq/reBuP1n6YrsitN2DzX6VuuKF9rt7jZ/KkOiGYGOVKeeGAqK/3sSsYymPdNNSU5EVoBbufCuACPwe6OdInzyM8jZj0BfZAXR6z8p3RhG7NiqBhJAovv3q5WN9lSwhGW0MmkNZaadbQC3cZRNAZJ9hECKvH8PvQCfmnUDnAp/YFzDGZzQ63ShiojOAEk5yOdD2kycnGwfbf56/a2+nW0At3GUTQPvxEUBXv+UuM05dX5iIkujwFvoa7X38Qnx0ZrBfL9WWysUm+qcVellGmzq2jmZvAe6qV2Ea1ZtcSlO7F18XCKPDh/WZFfCx6g+Nrw5wVUQrgO2ryC1AyalE2wbsQZVq28lmRmznHTuPxSZWiLssSZOciKup3w6ONzr9H2AFWGSen6FcY+qhYpUxXBJyqFk/g3j6ep4DB2rFqXMKhxDsJnCqE3Qe9dBB23Grp/oQYbaAlUBXLZuFu5z6buqLgQabJx047AGbQBH/bLz5KOwY7NKe9XGf1xp//arYbqLtR9za+brlTvQbS06oLHf7w1/J37OdjiZQXwCWgluADmKxUz3mAaKk0mR6BljqVUwjnPp5vt6wKVqzDBxGgHXgWzC82WCR9m9j+wYcE/FJpv+JgU763QFWt6j/O4irf0xVPWy2aFgprMvAFTzoYHanq6yhPocYWvp7a4iVQrSYgR7i60u9pqZ+uomjQ+aSmuKlMAeAAd1rp9TUj66t+qEpSWIgMZAYSAwkBhIDiYHEQGIgMVCUgX8BmpBi34cjpBMAAAAASUVORK5CYII=\" width=\"64\" height=\"19\" style=\"width: 64px; height: 19px;\"\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; \"\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; text-align: left; 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; \"\u003e\u003cspan style=\"\"\u003eWe could be getting large numbers here, therefore please \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; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003econcatenate the total number of digits with the last 3 digits of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAD0AAAAmCAYAAAB3c5OxAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAAAPaADAAQAAAABAAAAJgAAAAAmKa08AAAE0UlEQVRoBe2YW6iVRRTHt6VdSBSxC5mYkhmRCGEFZZCRlkQgQUVxiE5X7EIlVC9RkiRE0cUuEEFBWD30EhUVRXXAwIespAt0h6y0+1WzrKh+P5vR2fvMfN/e7r3Lh73gv2fNWv9Z88365lsz5zQaAxlkYJCBQQYGGegoA5NhPw2WdTSqTB7CtQbMKFO68/jA88BicBSYBKIsQtk/dgqt/PfA22BigdOpeSwDngFfg0M6HVzFPwznU+DvFvxJfwT45vSZjCp5EudGMK2KtBO+8Yx5A6wDe+3E+FFD3DY/ABe1HpwNpoBZYAnYAmIypqKXZCkOkzS3ROjS7jN9CR7sMs624b5JF+UDz9lmaf45i67+r5rNTb1j6P0OHmqy9r5zJSF9lgu6Cb03g/8Igd4tBBqH/TvwbME/Bvv7wEVPB/0Ut/YGsBm45YuyW9HTaMzGZ6FQzGBOTIqLej3nxHY88FN4FHwC+im/EfwOsA9wBxalatHfJKMOR7dy58Ti9FrOge3cYLfC/hcSd9xwN5N5FPiWxafgANCuuN1+BH8Bj7s62RfCQnAdOD0hH4x+BbgTnJTYS+oXOHzemSVCnX1FCBAX7hnbzgKMe2IY63FSJbfj/BzEOWyHwoDzaf1GU9/RwVdqHgv8i0uEOvueENaEIHFiv98JdQPxnxfGPVLD9R7gN2ixcw7rhBcZq7Gnhm/4ORDnvxS9Sm7EKXd5FanO57azWMVJbUeACamS63HKXVlFCr5xtJuA/JeB23sLOBkoVwF9YhGokstxyisekVWFLAb+FsXJ3YJR5qPcHzuF9qBgd3ydHAthfCC9RfswuAS8EGxzQmvzZqLnVI9QZeq/TXe/VnAresy47eKKkE8ErkWoTm6GEOOuR3+gZUDcae+02HNdd4Kx1uac2tp503GsFxSvoVbjKFbakliAFKt4ncRtLG8ruDoZMA19Vug/n9hLqpcqxXqQldyifTOzs+xG4yXstyQ+t6XfY07i51BX7fXPTQIsQfd7jpImJG736Mu1cb44/yhObtEXwZo5irnDcN8OtTEG3Uqbk8+CMT5EjqNtAYjP4aIsZKksDB1vXKtTR0G38CptL9pFHBrgwJxsxLgpOH6iTW9uKT9OOiU1ZvT0Td7V4jcZ8ULyCvqvLf5c98BgjPPnOE02vx+LgBOUxEzGojNSImH3O5T3PYhvEnWUuCPkefsb2+J128e5rgk+/3ycH/Rcsw6jYxbknDmbxDjJOTkCtpUJ54wCJ5pfDVwfPieeCHG+1oot34IW/UeirwAfgokgJ74QC+0GUJXoprHxYHciq58XjP0Cw3v3PcCg+leBOrkMgtxSlU8XdVom2K1hvDHcfX5O6ZlNt0nOpCf3tiZrTedu/J6T9wIvCQYQPyf6ZvSlYHdQJ5MgWIA+ADn+49iN/wuIRw3qdjkVLSbZt3fcdk9eeRGz8aoSM2qk2T4isc5AvxAsB9eCU8Bk0ImYSB9kuJNBCdfn8WjMJSWhNU6g4zwm8n8X7+hrwcdgjz4+zWpifwQm9HGOjkJPh+2deFVHo9on3wB1KygVzPYj9ZgZv8+behx3iHhua2+Su6QM81S+EatsL2QeQSyUy3oRrJ8xvNd75vZC/AdEXUXvxTyDGIMMDDIwyMCulYF/ABSFCBU22bpWAAAAAElFTkSuQmCC\" width=\"30.5\" height=\"19\" style=\"width: 30.5px; height: 19px;\"\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; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e and output a single concatenated integer. \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; \"\u003e\u003cspan style=\"\"\u003eFor example the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"64\" height=\"19\" style=\"width: 64px; height: 19px;\"\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; \"\u003e\u003cspan style=\"\"\u003e, hence the output should be \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"33\" height=\"18\" style=\"width: 33px; height: 18px;\"\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; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function s = S(n)\r\n  y = x;\r\nend","test_suite":"%%\r\nn = 5;\r\ns_correct = 2030;\r\nassert(isequal(S(n),s_correct))\r\n%%\r\nn = 55;\r\ns_correct = 17966;\r\nassert(isequal(S(n),s_correct))\r\n%%\r\nn = 666;\r\ns_correct = 201462;\r\nassert(isequal(S(n),s_correct))\r\n%%\r\nn = 7777;\r\ns_correct = 2342270;\r\nassert(isequal(S(n),s_correct))\r\n%%\r\nn = 88888;\r\ns_correct = 26758054;\r\nassert(isequal(S(n),s_correct))\r\n%%\r\nn = double(intmax);\r\ns_correct = 646456993326;\r\nassert(isequal(S(n),s_correct))\r\n%%\r\nn = double(1e12);\r\ns_correct = 301029995664374;\r\nassert(isequal(S(n),s_correct))\r\n%%\r\nns = 10000:100000;\r\nss = arrayfun(@(n) S(n),ns);\r\nss = [sum(ss) ss(1:12345:end)]\r\nss_correct = [1490204856374 3011374 6727830 10443222 14159366 17876174 21592430 25308422 29024766];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nfiletext = fileread('S.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":255988,"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":"2021-10-02T17:26:33.000Z","updated_at":"2026-02-07T14:04:07.000Z","published_at":"2021-10-02T19:50:03.000Z","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 the integer triangle 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\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=\\\"158\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"167\\\"/\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\u003eIt follows the same rule as \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Pascal's_triangle\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePascal's Triangle\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, except that instead of affixing 1's at the sides of each row, the row number minus 1, is affixed (on first row 0 is affixed; at row 2, 1 is affixed on each side, etc.). Any inner number, as in Pascal's Triangle, is the sum of the left and right numbers on its previous row. \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\u003eGiven a number \u003c/w:t\u003e\u003c/w:r\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\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e find \u003c/w:t\u003e\u003c/w:r\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\u003eS(n)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, which is the sum of the n-th row.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e Hence, \u003c/w:t\u003e\u003c/w:r\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\u003eS(1)=0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\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\u003eS(4)=14\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\u003eWe could be getting large numbers here, therefore please \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003econcatenate the total number of digits with the last 3 digits of \u003c/w:t\u003e\u003c/w:r\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\u003eS(n)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e and output a single concatenated integer. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eFor example the \u003c/w:t\u003e\u003c/w:r\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\u003eS(5) = 30\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, hence the output should be \u003c/w:t\u003e\u003c/w:r\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\u003e2030\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\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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Sequences 40: Quadratic Congruence","description":"Quadratic Congruence is a modular equation of the form: . \r\nIn this exercise you will be given a vector containing the coefficients of a quadratic polynomial (), and a modulus base (). Using these data, create a function that outputs the pair (), which are the 'primitive' solutions to the quadratic congruence.\r\nFor example consider the congruence: ,  the solution is , since:\r\n                                    , and\r\n                                    .\r\nNOTE: A primitive modulus to base , can only have values from  to . This is a simplified problem, in which the quadratic polynomials given in the test suite, are all factorable, and the modulus base are all odd primes.","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: 235px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 117.5px; transform-origin: 407px 117.5px; 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: 182px 8px; transform-origin: 182px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eQuadratic Congruence is a modular equation of the form: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 167px; height: 19.5px;\" width=\"167\" height=\"19.5\"\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: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 64px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; 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 32px; text-align: left; transform-origin: 384px 32px; 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: 297px 8px; transform-origin: 297px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn this exercise you will be given a vector containing the coefficients of a quadratic polynomial (\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 79px; height: 18.5px;\" width=\"79\" height=\"18.5\"\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: 26.5px 8px; transform-origin: 26.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e), and a modulus base (\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003em\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: 6.5px 8px; transform-origin: 6.5px 8px; 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: 200.5px 8px; transform-origin: 200.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eUsing these data, create a function that outputs the pair (\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 75px; height: 20px;\" width=\"75\" height=\"20\"\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: 56px 8px; transform-origin: 56px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e), which are the 'primitive' solutions to the quadratic congruence.\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: 123.5px 8px; transform-origin: 123.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example consider the congruence: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 157.5px; height: 19.5px;\" width=\"157.5\" height=\"19.5\"\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: 51.5px 8px; transform-origin: 51.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,  the solution is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEYAAAAlCAYAAAD/Tp9wAAACAklEQVRoge2ZXbGDMBBGjwcc1AAGUFAFOMABDmqhGioBD7VQDVjgPiw7DZSU8LMJt8M3sy+ZJmxOks1uCqdOnTJW7bEipVMrtetcOuAJNCMr9/A0ssZzaIAWgbNYHf9zd4SqISGYvDcL5Yh/U3YHLjP9k4G59mM8NozhU4Ychc5jTcAYScC4jluAqfFDCfU7CZiGt5N7g1Ho1cZxooOpgRdyo1mAqRAwczFkTlHB5E4/3TV7g1HoBbJ71ioamAxxWj9mAabkM548+/alkKKBuTO8DSzAvPAH3JZl/kYBc0WcdnMWq6NU9N+7MQ3qGjiOOZgLslrjUsEKzFglw5ymJexYmYNpkGM01R4DDAgIvQU7wiZsCkav5qkVigkG3js3eearV7OvFooNBmTn6nGakwkYvZrv+As53dqN02ZVUKq0PksGpuB7reIz692jfr0CfmsCJmf68Wf8EKSrp22rHFkg3TFTl8FYyZ4dUsaYkFzmsGAypCCsCYs9We+Pr3i8EH4jqX+HBKOrqzYHx03iaoYpguYxz4BxXP8OCebBEMxcXHDfeDTA1khp0Pb9lxSSycDcZj6eI3A0UIcEzNLpoxl3zbq3maSP4aFK8bfM4cHk+MsKSx0aTM6ygLmnNoGp+Ez1t761qjIkDu013jf5SpbVYKbMOnu10C/N5dSpU6d+V3/phxOZDm3/bAAAAABJRU5ErkJggg==\" style=\"width: 35px; height: 18.5px;\" width=\"35\" height=\"18.5\"\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: 22.5px 8px; transform-origin: 22.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, since:\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: 72px 8px; transform-origin: 72px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                                    \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 292px; height: 19.5px;\" width=\"292\" height=\"19.5\"\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: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and\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: 72px 8px; transform-origin: 72px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                                    \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 292px; height: 19.5px;\" width=\"292\" height=\"19.5\"\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: 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: 23px 8px; transform-origin: 23px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eNOTE: \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: 88.5px 8px; transform-origin: 88.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA primitive modulus to base \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003em\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: 88.5px 8px; transform-origin: 88.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, can only have values from \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e0\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: 10px 8px; transform-origin: 10px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 38.5px; height: 18px;\" width=\"38.5\" height=\"18\"\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: 132px 8px; transform-origin: 132px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. This is a simplified problem, in which the quadratic polynomials given in the test suite, are all factorable, and the modulus base are all odd primes.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function xs = quadCong(cs,m)\r\n    xs = cs;\r\nend","test_suite":"%%\r\ncs = [1,5,6]; m = 3;\r\nxs_correct = [0,1];\r\nassert(isequal(quadCong(cs,m),xs_correct))\r\n%%\r\ncs = [1,5,6]; m = 7;\r\nxs_correct = [4,5];\r\nassert(isequal(quadCong(cs,m),xs_correct))\r\n%%\r\ncs = [6,-7,-5]; m = 11;\r\nxs_correct = [5,9];\r\nassert(isequal(quadCong(cs,m),xs_correct))\r\n%%\r\ncs = [35,76,33]; ms = setdiff(primes(10000),primes(100));\r\nys = arrayfun(@(m) sum(quadCong(cs,m)),ms);\r\nss = [sum(ys) floor([mean(ys) mode(ys) median(ys) std(ys)])];\r\nss_correct = [5752615 4777 57 4151 3465];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\ncs = [10,-131,391]; m = 6373;\r\nxs_correct = [3195,5103];\r\nassert(isequal(quadCong(cs,m),xs_correct))\r\n%%\r\ncs = [253,-1420,672]; m = 30103;\r\nxs_correct = [3927,8215];\r\nassert(isequal(quadCong(cs,m),xs_correct))\r\n%%\r\ncs = [528,26711,283500]; m = 198733;\r\nxs_correct = [37227,174629];\r\nassert(isequal(quadCong(cs,m),xs_correct))\r\n%%\r\ncs = [4545,13092,-69741]; m = 1000121;\r\nxs_correct = [821876,933449];\r\nassert(isequal(quadCong(cs,m),xs_correct))\r\n%%\r\nfiletext = fileread('quadCong.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":17,"test_suite_updated_at":"2021-10-17T05:04:28.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-10-12T12:11:53.000Z","updated_at":"2025-11-28T12:16:40.000Z","published_at":"2021-10-16T17:40:09.000Z","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\u003eQuadratic Congruence is a modular equation of the form: \u003c/w:t\u003e\u003c/w:r\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\u003eax^{2}+bx+c\\\\equiv 0\\\\  (mod\\\\  m)\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\u003eIn this exercise you will be given a vector containing the coefficients of a quadratic polynomial (\u003c/w:t\u003e\u003c/w:r\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\u003ecs =\\\\left[ a,b,c\\\\right]  \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e), and a modulus base (\u003c/w:t\u003e\u003c/w:r\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\u003em\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\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eUsing these data, create a function that outputs the pair (\u003c/w:t\u003e\u003c/w:r\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\u003exs=[x_{1},x_{2}]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e), which are the 'primitive' solutions to the quadratic congruence.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example consider the congruence: \u003c/w:t\u003e\u003c/w:r\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\u003ex^{2}+5x+6\\\\equiv 0\\\\  (mod\\\\  7)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e,  the solution is \u003c/w:t\u003e\u003c/w:r\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[4,5]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, since:\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\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\u003e4^{2}+5\\\\cdot 4+6= 16+20+6= 42\\\\equiv 0\\\\  (mod\\\\  7)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and\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\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\u003e5^{2}+5\\\\cdot 5+6= 25+25+6= 56\\\\equiv 0\\\\  (mod\\\\  7)\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eNOTE: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eA primitive modulus to base \u003c/w:t\u003e\u003c/w:r\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\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, can only have values from \u003c/w:t\u003e\u003c/w:r\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\u003e0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to \u003c/w:t\u003e\u003c/w:r\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\u003em-1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. This is a simplified problem, in which the quadratic polynomials given in the test suite, are all factorable, and the modulus base are all odd primes.\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":52834,"title":"Easy Sequences 32: Almost Pythagorean Triples","description":"An Almost Pythagorean Triple (abbreviated as \"APT'), is a set of 3 integers in which square of the largest element, which we will call as its 'hypotenuse', is  less than the sum of square of the smaller elements (shorter sides). This means that if  is the hypotenuse and  and  are the shorter sides, , satisfies the following equation: \r\n        \r\n        where:  \r\nThe smallest  is the triple , with  and perimeter (the sum of the 3 elements)  of . Some researchers consider  as the smallest , but here, we will only look at 's where the hypotenuse is \"strictly\" greater than the other shorter sides. Other examples of 's are , and . \r\nUnfortunately, unlike Pythagorean Triples, a 'closed formula' for generating all possible 's, has not yet been discovered, at the time of this writing. For this exercise, we will be dealing with 's with a known ratio between the hypotenuse and the shortest side: . \r\nGiven the value of , find the perimeter of the  with the r-th smallest perimeter. For example for , that is , the smallest perimeter is  for  , while the second (r-th) smallest perimeter is , for the  with dimensions . For , the third smallest perimeter is  for  . \r\nThe output can be very large, so please present only the last 12 digits if the number of digits of the perimeter exceeds 12.","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: 369px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 184.5px; transform-origin: 407px 184.5px; 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: 380px 8px; transform-origin: 380px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn Almost Pythagorean Triple (abbreviated as \"APT'), is a set of 3 integers in which square of the largest element, which we will call as its 'hypotenuse', is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e1\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: 2px 8px; transform-origin: 2px 8px; 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: 12.5px 8px; transform-origin: 12.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"text-decoration: underline; text-decoration-line: underline; \"\u003eless\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: 260px 8px; transform-origin: 260px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e than the sum of square of the smaller elements (shorter sides). This means that if \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ec\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: 74px 8px; transform-origin: 74px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the hypotenuse and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ea\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: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eb\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: 71.5px 8px; transform-origin: 71.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are the shorter sides, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 32.5px; height: 18px;\" width=\"32.5\" height=\"18\"\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: 104px 8px; transform-origin: 104px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, satisfies the following equation: \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: 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: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e        \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 99.5px; height: 19px;\" width=\"99.5\" height=\"19\"\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: 41px 8px; transform-origin: 41px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e        where:  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 62px; height: 18px;\" width=\"62\" height=\"18\"\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: 42px 8px; transform-origin: 42px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe smallest \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 32.5px; height: 18px;\" width=\"32.5\" height=\"18\"\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: 38.5px 8px; transform-origin: 38.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the triple \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 48.5px; height: 18.5px;\" width=\"48.5\" height=\"18.5\"\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: 18px 8px; transform-origin: 18px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, with \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 100.5px; height: 19px;\" width=\"100.5\" height=\"19\"\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: 134.5px 8px; transform-origin: 134.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and perimeter (the sum of the 3 elements)\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: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\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: 8px 8px; transform-origin: 8px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eof \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAAA6UlEQVRYhe2WQQ3DMAxFP4cwCIESGIIiKIMxKINSKIZBKIdRKIZR6A6ztWiHxkm+qkjzl6xenOQpL5UMeDyevhIBhEzPAOBmrKEFZAVwGDbZpc9SSylISEC0zoDGApgDn1syZwQwy/dpBNqk4klPkH32EpjfzAagKIfk3tiESl01QBYFD1ToqgGyRHW9kL/JS4BU19oCwwRSXWMPQDRdLCCaLhYQTRcDiKqLAUTVxQDaQNTVChRB1tUKdAdZVyuQTgpTD0CprrORpCg6VijQXLBWdW0skAXfoSutVQ7LRdfT/i6Px+P5u7wB3c96XQFb71kAAAAASUVORK5CYII=\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\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: 24px 8px; transform-origin: 24px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Some researchers consider \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 48.5px; height: 18.5px;\" width=\"48.5\" height=\"18.5\"\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: 51px 8px; transform-origin: 51px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e as the smallest \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEEAAAAkCAYAAADWzlesAAACIklEQVRoge2YS5XDMAxFH4cwCIESCIJBEAZlEAalEAyFEA6hUAyh0FlUmr4o/sj5rMb3nCzq2LItS09OgUqlUqlUrqID0Dj7NtI/96TseW3stV9MD+Athj00MmaWcfxM8ujvWfraBd/NuBeNXah9ibS/ineZ2dBLDPeFYzusN8JObLF20oi1I57SPmDrILb5Y96N0v4oXGuSgSYsNfyD9YlZWsQ3tMjcKZtvbB3UBGwdwi5yLhz/oLHPSB+OBnVyl5iLbU6RPiHn7GbCNxU0z0qM8wbviTmso1TYcjZDkQKcmAqazzYaSioEj7tF+rETcou3Nr1CvZsXLYq97801rSg5pWZFzwlvTmNOZZBJ9NRVqVNhbVGVVuUPwWXQU9I8GnMKDT4O4M3uqRC5E+5Mn1i6MKxP3sPYxYitMnMYeirEDevc7fEVux7rKJnhc4DVJs+YXagY2rznTXkqBIf5gk/oTvSM0qdkI16NOcyEz8mE7uElFaJE8b14NOYw6ukp8nD+5irEFWWM9aD0+u5CxTB1at4KYa+1Z2A15tSvQ0XVP2XcWyGuKGOsMaVXdxequrncZWFKLeSKMsZRGLsqnzJBLsRYHGMV4qoyxnp0+lVZN+ZRW5uXbaDPFWUs9+l8iBu+HvY4wS7GhiX/+aJOCDmqhAbbf6eO2vyjw7YEDpEJOnkXKps6psf2QjRJ255y1ibmfMq7y78gK5VKpVKpVP4Nv14fLJbptxZTAAAAAElFTkSuQmCC\" style=\"width: 32.5px; height: 18px;\" width=\"32.5\" height=\"18\"\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: 94px 8px; transform-origin: 94px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, but here, we will only look at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 32.5px; height: 18px;\" width=\"32.5\" height=\"18\"\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: 113px 8px; transform-origin: 113px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e's where the hypotenuse is \"strictly\" greater than the other shorter sides. Other examples of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 32.5px; height: 18px;\" width=\"32.5\" height=\"18\"\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: 19.5px 8px; transform-origin: 19.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e's are \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 56px; height: 18.5px;\" width=\"56\" height=\"18.5\"\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: 18px 8px; transform-origin: 18px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 71px; height: 18.5px;\" width=\"71\" height=\"18.5\"\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: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \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: 274px 8px; transform-origin: 274px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eUnfortunately, unlike Pythagorean Triples, a 'closed formula' for generating all possible \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEEAAAAkCAYAAADWzlesAAACIklEQVRoge2YS5XDMAxFH4cwCIESCIJBEAZlEAalEAyFEA6hUAyh0FlUmr4o/sj5rMb3nCzq2LItS09OgUqlUqlUrqID0Dj7NtI/96TseW3stV9MD+Athj00MmaWcfxM8ujvWfraBd/NuBeNXah9ibS/ineZ2dBLDPeFYzusN8JObLF20oi1I57SPmDrILb5Y96N0v4oXGuSgSYsNfyD9YlZWsQ3tMjcKZtvbB3UBGwdwi5yLhz/oLHPSB+OBnVyl5iLbU6RPiHn7GbCNxU0z0qM8wbviTmso1TYcjZDkQKcmAqazzYaSioEj7tF+rETcou3Nr1CvZsXLYq97801rSg5pWZFzwlvTmNOZZBJ9NRVqVNhbVGVVuUPwWXQU9I8GnMKDT4O4M3uqRC5E+5Mn1i6MKxP3sPYxYitMnMYeirEDevc7fEVux7rKJnhc4DVJs+YXagY2rznTXkqBIf5gk/oTvSM0qdkI16NOcyEz8mE7uElFaJE8b14NOYw6ukp8nD+5irEFWWM9aD0+u5CxTB1at4KYa+1Z2A15tSvQ0XVP2XcWyGuKGOsMaVXdxequrncZWFKLeSKMsZRGLsqnzJBLsRYHGMV4qoyxnp0+lVZN+ZRW5uXbaDPFWUs9+l8iBu+HvY4wS7GhiX/+aJOCDmqhAbbf6eO2vyjw7YEDpEJOnkXKps6psf2QjRJ255y1ibmfMq7y78gK5VKpVKpVP4Nv14fLJbptxZTAAAAAElFTkSuQmCC\" style=\"width: 32.5px; height: 18px;\" width=\"32.5\" height=\"18\"\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: 64px 8px; transform-origin: 64px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e's, has not yet been discovered, at the time of this writing. For this exercise, we will be dealing with \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 32.5px; height: 18px;\" width=\"32.5\" height=\"18\"\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: 105.5px 8px; transform-origin: 105.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e's with a known ratio between the hypotenuse and the shortest side: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGQAAAAlCAYAAAC05kydAAACWElEQVRoge2abdGDMAzH/x5wMAMYmAIU4AAHc4CFaUACHrCAhlng+ZDmGjh4SICjsOV3x4eVsaYkzVsHOI7jOD9ClVoAJ1IC+KQWwok0AOrUQjhEBmAAkKcWxCEqAH1qIZxIB+CVWgiHeIDc1SO1IA7xAu0Q5yL0oJTXuQA5yF1lqQV5Yuwz8zB2Z57hsrzcN6j+2DMfk1nmrwC0oO05IFpFFsZ5zJJpPA+49ub9Jcj/t0H2BlRta1sgHwCFYb4HSIkDqIjk+MNj5kq/Cw92IGV0GCvJUqkOB1xbrTMXa5FWWorfXsuaCtheILdWeox3QYEd6+FF1Bi3CvizJfVrD7i25P456MXMVdZsqZqquwnf18CKnioDIIPgOU3JAbcHWCF3TPUyRGXMKTMP42tuyNIqWdt1xcr9ReSDvVKYq7HZV08ooWuVPBANYMmd14hhwITczlt9d0q4orYmH3NoWyXynS1lTxyDzZ1iGbyP2B1nZ1mVkN+SGU3RtkqkASzFGunOTDJxAXTk7jg7y2qwbq0atK0SjQFIIzdxlHVJzs6yZL20RyE9dHXKmgG8xH1z/ODF3PmIUvrzJXdT4P+Og6VV8p8BcEE6jR/1yvwAxumuNu++ItJfz1m45pCJ6y0NnD1NvQrPk0/uq9swMt09yl2lQu70EmSNRRjXGBs/p0EG9QGx9cRdDlkQfmCIh9zHarUPXJwStHheUw1dtmZtlSD87htR4VN3xLvC2/cbeOPeLvur4Dh69yOGr0HbKnFOgmONcwH8XyUXo8I9jxq+liOOih3HcX6BP7UvFJF5pfzWAAAAAElFTkSuQmCC\" style=\"width: 50px; height: 18.5px;\" width=\"50\" height=\"18.5\"\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: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \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: 67px 8px; transform-origin: 67px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eGiven the value of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003er\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: 92px 8px; transform-origin: 92px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, find the perimeter of the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEEAAAAkCAYAAADWzlesAAACIklEQVRoge2YS5XDMAxFH4cwCIESCIJBEAZlEAalEAyFEA6hUAyh0FlUmr4o/sj5rMb3nCzq2LItS09OgUqlUqlUrqID0Dj7NtI/96TseW3stV9MD+Athj00MmaWcfxM8ujvWfraBd/NuBeNXah9ibS/ineZ2dBLDPeFYzusN8JObLF20oi1I57SPmDrILb5Y96N0v4oXGuSgSYsNfyD9YlZWsQ3tMjcKZtvbB3UBGwdwi5yLhz/oLHPSB+OBnVyl5iLbU6RPiHn7GbCNxU0z0qM8wbviTmso1TYcjZDkQKcmAqazzYaSioEj7tF+rETcou3Nr1CvZsXLYq97801rSg5pWZFzwlvTmNOZZBJ9NRVqVNhbVGVVuUPwWXQU9I8GnMKDT4O4M3uqRC5E+5Mn1i6MKxP3sPYxYitMnMYeirEDevc7fEVux7rKJnhc4DVJs+YXagY2rznTXkqBIf5gk/oTvSM0qdkI16NOcyEz8mE7uElFaJE8b14NOYw6ukp8nD+5irEFWWM9aD0+u5CxTB1at4KYa+1Z2A15tSvQ0XVP2XcWyGuKGOsMaVXdxequrncZWFKLeSKMsZRGLsqnzJBLsRYHGMV4qoyxnp0+lVZN+ZRW5uXbaDPFWUs9+l8iBu+HvY4wS7GhiX/+aJOCDmqhAbbf6eO2vyjw7YEDpEJOnkXKps6psf2QjRJ255y1ibmfMq7y78gK5VKpVKpVP4Nv14fLJbptxZTAAAAAElFTkSuQmCC\" style=\"width: 32.5px; height: 18px;\" width=\"32.5\" height=\"18\"\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: 32px 8px; transform-origin: 32px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e with 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: 43.5px 8px; transform-origin: 43.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003er-th smallest\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: 40px 8px; transform-origin: 40px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e perimeter. \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: 51.5px 8px; transform-origin: 51.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 35.5px; height: 18px;\" width=\"35.5\" height=\"18\"\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: 18px 8px; transform-origin: 18px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, that is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 43.5px; height: 18px;\" width=\"43.5\" height=\"18\"\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: 82.5px 8px; transform-origin: 82.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the smallest perimeter is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAABLUlEQVRYhe2WUbHDIBBFjwccYKAGoiAK4qAOcBAL0RAJeKiFaoiFvg+WmX2dPEIC5fWDO7Nfu1lOLiwJdHV1fZcsYE4+M0jcaoMswCuzsQFm4Ak4iafEvQTEKJAYR0AWeMji726u0sPv5A41Et5slAVygWKt28kZYEvks+UygaaMOu34aZfOAsUt2RI1GvqyS7lAcTtSQIPqtX4aKNakgGxmXVWgo/PRDMiruvEbgO4cn4+mW2YIF2LKJT32j08DIXkN5eX5meDIqnJLCyAITk2yoBcIR9iumbxzVhUoBRrvqr1vXXMg3Wcq6FMF6MbxBDYD0tN36dejJpCeurUGjOX3GJ/5QjvCId4o/FOMIDPB4vdY/ljAEEY53jle6opduSorAMN/QnR1dXWV6Ae9sZqCc2SAGwAAAABJRU5ErkJggg==\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\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: 12.5px 8px; transform-origin: 12.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 32.5px; height: 18px;\" width=\"32.5\" height=\"18\"\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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 48.5px; height: 18.5px;\" width=\"48.5\" height=\"18.5\"\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: 143px 8px; transform-origin: 143px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, while the second (r-th) smallest perimeter is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAAA6klEQVRYhe2WUQ2DMBCGfw91UAMYmIIqwMEc4AAL1TAJ9TALaJgF9sBd0i2DXQ9u4+G+5MIDBT74QgBwHOc/dAAuwumE54wAglZoAjALZxSIZForlX8hNcjMWJ7SJ0IlwqMSKjRxY02gC0wr+xOAgbb3PUKRLvKtdQ9ZLpDYLqG1BDU3bOc6TEgC53pA9taYC3GuLFxvLsS50hmEWnOZC7XmMhdqzWUqpMllKqTJZSpU0J7LTChCl8tM6ApdLjMh/mL3ZxCqc239kvxMiHMVxbH8O8NCwxFCI8m0vF2xOu59MpabdBzHcSQ8AUZlel3qgGXQAAAAAElFTkSuQmCC\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\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: 26.5px 8px; transform-origin: 26.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, for the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEEAAAAkCAYAAADWzlesAAACIklEQVRoge2YS5XDMAxFH4cwCIESCIJBEAZlEAalEAyFEA6hUAyh0FlUmr4o/sj5rMb3nCzq2LItS09OgUqlUqlUrqID0Dj7NtI/96TseW3stV9MD+Athj00MmaWcfxM8ujvWfraBd/NuBeNXah9ibS/ineZ2dBLDPeFYzusN8JObLF20oi1I57SPmDrILb5Y96N0v4oXGuSgSYsNfyD9YlZWsQ3tMjcKZtvbB3UBGwdwi5yLhz/oLHPSB+OBnVyl5iLbU6RPiHn7GbCNxU0z0qM8wbviTmso1TYcjZDkQKcmAqazzYaSioEj7tF+rETcou3Nr1CvZsXLYq97801rSg5pWZFzwlvTmNOZZBJ9NRVqVNhbVGVVuUPwWXQU9I8GnMKDT4O4M3uqRC5E+5Mn1i6MKxP3sPYxYitMnMYeirEDevc7fEVux7rKJnhc4DVJs+YXagY2rznTXkqBIf5gk/oTvSM0qdkI16NOcyEz8mE7uElFaJE8b14NOYw6ukp8nD+5irEFWWM9aD0+u5CxTB1at4KYa+1Z2A15tSvQ0XVP2XcWyGuKGOsMaVXdxequrncZWFKLeSKMsZRGLsqnzJBLsRYHGMV4qoyxnp0+lVZN+ZRW5uXbaDPFWUs9+l8iBu+HvY4wS7GhiX/+aJOCDmqhAbbf6eO2vyjw7YEDpEJOnkXKps6psf2QjRJ255y1ibmfMq7y78gK5VKpVKpVP4Nv14fLJbptxZTAAAAAElFTkSuQmCC\" style=\"width: 32.5px; height: 18px;\" width=\"32.5\" height=\"18\"\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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e with dimensions \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 71px; height: 18.5px;\" width=\"71\" height=\"18.5\"\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: 17px 8px; transform-origin: 17px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. For \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 35.5px; height: 18px;\" width=\"35.5\" height=\"18\"\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: 98.5px 8px; transform-origin: 98.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the third smallest perimeter is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 33px; height: 18px;\" width=\"33\" height=\"18\"\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: 12.5px 8px; transform-origin: 12.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEEAAAAkCAYAAADWzlesAAACIklEQVRoge2YS5XDMAxFH4cwCIESCIJBEAZlEAalEAyFEA6hUAyh0FlUmr4o/sj5rMb3nCzq2LItS09OgUqlUqlUrqID0Dj7NtI/96TseW3stV9MD+Athj00MmaWcfxM8ujvWfraBd/NuBeNXah9ibS/ineZ2dBLDPeFYzusN8JObLF20oi1I57SPmDrILb5Y96N0v4oXGuSgSYsNfyD9YlZWsQ3tMjcKZtvbB3UBGwdwi5yLhz/oLHPSB+OBnVyl5iLbU6RPiHn7GbCNxU0z0qM8wbviTmso1TYcjZDkQKcmAqazzYaSioEj7tF+rETcou3Nr1CvZsXLYq97801rSg5pWZFzwlvTmNOZZBJ9NRVqVNhbVGVVuUPwWXQU9I8GnMKDT4O4M3uqRC5E+5Mn1i6MKxP3sPYxYitMnMYeirEDevc7fEVux7rKJnhc4DVJs+YXagY2rznTXkqBIf5gk/oTvSM0qdkI16NOcyEz8mE7uElFaJE8b14NOYw6ukp8nD+5irEFWWM9aD0+u5CxTB1at4KYa+1Z2A15tSvQ0XVP2XcWyGuKGOsMaVXdxequrncZWFKLeSKMsZRGLsqnzJBLsRYHGMV4qoyxnp0+lVZN+ZRW5uXbaDPFWUs9+l8iBu+HvY4wS7GhiX/+aJOCDmqhAbbf6eO2vyjw7YEDpEJOnkXKps6psf2QjRJ255y1ibmfMq7y78gK5VKpVKpVP4Nv14fLJbptxZTAAAAAElFTkSuQmCC\" style=\"width: 32.5px; height: 18px;\" width=\"32.5\" height=\"18\"\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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMoAAAAlCAYAAAADd3b/AAAFFElEQVR4nO1cbdXyMAy9HuYAAxhAAQpw8DjAARbQgAQ8YAENWOD9seUQSj+Spt0Gb+45/fHwLF0b7k3TrANwOBwOh8PhcKwAx0TbLTkoh6MBdkjzW40ngBuAa9AOLUbqcCyIAz55fcPIeTWe8NXD8f9ghxmFsplsdgCGinuS7abClmM7tR7Y4jXOsJ3xOfbc9WELx2yxbQlt3xYeWDnEoeHBLELZA7hPNrxdUSb9BiPBHnjliffJtubL30/3vlTYljBgHGc4Tz7fEDG/pNqpoW0LHKYxSH1p4YHFNtWfhgfdhXJC/gt8ID3R7fT/O95FMeDltL1izJzIPYRyRH6uob/2hetz9hZbK0LSSnxp4YHFNoYaHnQVCnXOU44Br0hEE71FbLkY/jJ9PyFfgq/QfbkakPNjY82NpxQRB4zjvTe0teCEcY5/kPvSwgOLbQo1POgqlBvGCcYQpilhGkXRORctyFGSyVLKRtWL1kL5gy6ybabxlER+wGfqZLFtCSnZLDyw2MZQy4NuQtmi/GXyJTWMxOSAXKQ4M/vcfbZsvBRNWguFnC/dZNKmtIQLPn1tsW0JiVAsPLByKDaWWh50E8oe5YHz9Ilfy/PvVDQB3pf/1PMbSuHoYVEPoVDk5u02fW6pzFDq9Kjox2IrhUQoVh7U2oaw8mDW8nDq5mFffFOcmzy3TwnqjPdqUw+h5KpPD9T7iQSYCxY9bKVotd9L8aClrZUHiwqFvsxweaWUQSOUWIpG1Rmeu/ZKvXbT/U6IC0dTnSOQH+a2laKVUFI8aGXbggeLCoX2GOEZGl6VkArlEfxvM30WpmS9hBLigPeNpjYFWnvaBbQTSooHLWxb8WAxoVDFIhYJuFBKlYyUUK6Ipx1zCQUY50XVFS0R1p52AW2EkuNBC9tWPFhMKLQPifXBhZK7x4C4UKgEGHPenEIBXhHtifiT+RTWnnYBbYSS44HVtiUPFhEKlelSlSpL6kV9p1aiuYUCvNKDcNVL4RvSLsAulBIPLLateTC7UKhMl3sIVlP1urC+z0gfDqRU6Mo+63lgEHiVu6VC+Ya0C7AJRcKDWtsePJhVKJSzl5zDn0tIhXIK/ta03qsLjUt6lISiXU3qZLHVotZ/Uh7U2vbgwWxC0ThnA9ng+cqzxxgRwhduwkb7hQf7rOrNNQVoRZFEeZp7Tepksa1BjVB6iwTow4PZhCKZII+CFBlzUfjCrtEejFxijyKJ8nTaoCZ1stjWoEYoWh60sg2xyj1K+FQ0hgPev+DSE1de8dKe2M05aJj6O0K2dxmQf5mMory04kW5c80GV2O7wzhHyzEbrVBqeNDCNobVCYWi6QnpF/bpmrA/OvAWmwylXZqSK1B2ED9omauaEPhDxSPeSUepwk3QD/CeOmlfRtLY8tTWsrpq7C08sNimsCqhhKTLtdQpYe4kIiGlGFfoo2HJQfz4jCSN4aVsSgOP03gfk710jHxeWmhsqXTKm1aYfH94L9hbeNCCQzGsRih7lDdU0l9v2WEkHl17Qn1Vh/pJbdy2GJ1HGz7JUn5gNvQk+Ag9+WhsNXPT2h7x/usi0rGGc+Utlq5aeNCSQyFKPAix6FmvtUPr/G/EDm3fgPxVuFASkLw09Au4QFcM+V/hQolgC/kG/JtxRr/XhH8NJqH84fNogPU3t5bGgJE83z6PEg74/bSyFvy3w6hRsUSNVOWh91Nuh6M3cj875XA4HA6Hw+FwOBwOh+MX8A+XjItEEg0W1AAAAABJRU5ErkJggg==\" style=\"width: 101px; height: 18.5px;\" width=\"101\" height=\"18.5\"\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: 4px 8px; transform-origin: 4px 8px; 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; 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: 382.5px 8px; transform-origin: 382.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe output can be very large, so please present only the last 12 digits if the number of digits of the perimeter exceeds 12.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function p = rthPerAPT(r)\r\n    p = r;\r\nend","test_suite":"%%\r\nr = 2;\r\np_correct = 71;\r\nassert(isequal(rthPerAPT(r),p_correct))\r\n%%\r\nr = 3;\r\np_correct = 1393;\r\nassert(isequal(rthPerAPT(r),p_correct))\r\n%%\r\nr = 5;\r\np_correct = 1046629;\r\nassert(isequal(rthPerAPT(r),p_correct))\r\n%%\r\nr = 10;\r\np_correct = 737287485879;\r\nassert(isequal(rthPerAPT(r),p_correct))\r\n%%\r\nr = 100;\r\np_correct = 113560240800;\r\nassert(isequal(rthPerAPT(r),p_correct))\r\n%%\r\nrs = 101:150;\r\nps = arrayfun(@(r) rthPerAPT(r),rs);\r\nps = mod([sum(ps) ps(5:5:end) floor(std(ps))],1e6);\r\nps_correct = [16512 485560 427040 285752 857200 405750 913360 599360 271520 127760 458800 957356];\r\nassert(isequal(ps,ps_correct))\r\n%%\r\nr = 1000;\r\np_correct = 216395590144;\r\nassert(isequal(rthPerAPT(r),p_correct))\r\n%%\r\nr = 10000;\r\np_correct = 453678870528;\r\nassert(isequal(rthPerAPT(r),p_correct))\r\n%%\r\nr = 123456;\r\np_correct = 805278060544;\r\nassert(isequal(rthPerAPT(r),p_correct))\r\n%%\r\nfiletext = fileread('rthPerAPT.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":2,"comments_count":15,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":7,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-29T11:06:28.000Z","updated_at":"2026-03-08T03:51:14.000Z","published_at":"2021-09-29T12:21:17.000Z","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\u003eAn Almost Pythagorean Triple (abbreviated as \\\"APT'), is a set of 3 integers in which square of the largest element, which we will call as its 'hypotenuse', is \u003c/w:t\u003e\u003c/w:r\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\u003e1\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\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eless\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e than the sum of square of the smaller elements (shorter sides). This means that if \u003c/w:t\u003e\u003c/w:r\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\u003ec\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the hypotenuse and \u003c/w:t\u003e\u003c/w:r\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\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\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\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e are the shorter sides, \u003c/w:t\u003e\u003c/w:r\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\u003eAPT\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, satisfies the following equation: \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e        \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ec^2 = a^2+b^2-1\u003c/w:t\u003e\u003c/w:r\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\u003e        where:  \u003c/w:t\u003e\u003c/w:r\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\u003ea \\\\le b \u0026lt; c\u003c/w:t\u003e\u003c/w:r\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 smallest \u003c/w:t\u003e\u003c/w:r\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\u003eAPT\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the triple \u003c/w:t\u003e\u003c/w:r\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[5,5,7]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, with \u003c/w:t\u003e\u003c/w:r\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\u003e7^2=5^2+5^2-1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003e and perimeter (the sum of the 3 elements)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eof \u003c/w:t\u003e\u003c/w:r\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\u003e17\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Some researchers consider \u003c/w:t\u003e\u003c/w:r\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[1,2,2]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e as the smallest \u003c/w:t\u003e\u003c/w:r\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\u003eAPT\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, but here, we will only look at \u003c/w:t\u003e\u003c/w:r\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\u003eAPT\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e's where the hypotenuse is \\\"strictly\\\" greater than the other shorter sides. Other examples of \u003c/w:t\u003e\u003c/w:r\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\u003eAPT\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e's are \u003c/w:t\u003e\u003c/w:r\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[9,8,12]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and \u003c/w:t\u003e\u003c/w:r\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[33,64,72]\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\u003eUnfortunately, unlike Pythagorean Triples, a 'closed formula' for generating all possible \u003c/w:t\u003e\u003c/w:r\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\u003eAPT\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e's, has not yet been discovered, at the time of this writing. For this exercise, we will be dealing with \u003c/w:t\u003e\u003c/w:r\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\u003eAPT\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e's with a known ratio between the hypotenuse and the shortest side: \u003c/w:t\u003e\u003c/w:r\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\u003er = c/a\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven the value of \u003c/w:t\u003e\u003c/w:r\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\u003er\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, find the perimeter of the \u003c/w:t\u003e\u003c/w:r\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\u003eAPT\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e with the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003er-th smallest\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e perimeter. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eFor example for \u003c/w:t\u003e\u003c/w:r\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\u003er = 2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, that is \u003c/w:t\u003e\u003c/w:r\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\u003ec = 2a\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the smallest perimeter is \u003c/w:t\u003e\u003c/w:r\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\u003e19\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for \u003c/w:t\u003e\u003c/w:r\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\u003eAPT\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\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[4,7,8]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, while the second (r-th) smallest perimeter is \u003c/w:t\u003e\u003c/w:r\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\u003e71\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, for the \u003c/w:t\u003e\u003c/w:r\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\u003eAPT\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e with dimensions \u003c/w:t\u003e\u003c/w:r\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[15,26,30]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. For \u003c/w:t\u003e\u003c/w:r\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\u003er = 3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the third smallest perimeter is \u003c/w:t\u003e\u003c/w:r\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\u003e1393\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for \u003c/w:t\u003e\u003c/w:r\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\u003eAPT\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\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[204,577,1224]\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\u003eThe output can be very large, so please present only the last 12 digits if the number of digits of the perimeter exceeds 12.\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":52567,"title":"Easy Sequences 7: Easy as Composite Pi","description":"The prime Pi function is defined as the number of prime numbers from 1 to a certain given limit. In MATLAB, it is easy to create a prime Pi procedure, because there are  built-in functions such as \"primes\" and \"isprime\". To calculate the prime Pi up to 100, we may just proceed as follows:\r\n\u003e\u003e numel(primes(100))\r\n\u003e\u003e ans =\r\n    25\r\n\u003e\u003e nnz(isprime(1:100))\r\n\u003e\u003e ans =\r\n    25\r\nCan we make a function for \"composite Pi\", which is the number of composite numbers from 1 to a given limit, inclusive? Let's find out...\r\nNOTE: The number '1' is considered as neither prime nor composite.","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: 277.6px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 138.8px; transform-origin: 407px 138.8px; 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: 376.5px 8px; transform-origin: 376.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe prime Pi function is defined as the number of prime numbers from 1 to a certain given limit. In MATLAB, it is easy to create a prime Pi procedure, because there are  built-in functions such as \"primes\" and \"isprime\". To calculate the prime Pi up to 100, we may just proceed as follows:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 122.6px; 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 61.3px; transform-origin: 404px 61.3px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 84px 8.5px; tab-size: 4; transform-origin: 84px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e\u0026gt;\u0026gt; numel(primes(100))\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 32px 8.5px; tab-size: 4; transform-origin: 32px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e\u0026gt;\u0026gt; ans =\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 24px 8.5px; tab-size: 4; transform-origin: 24px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e    25\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 88px 8.5px; tab-size: 4; transform-origin: 88px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e\u0026gt;\u0026gt; nnz(isprime(1:100))\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 32px 8.5px; tab-size: 4; transform-origin: 32px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e\u0026gt;\u0026gt; ans =\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 24px 8.5px; tab-size: 4; transform-origin: 24px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e    25\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 377px 8px; transform-origin: 377px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCan we make a function for \"composite Pi\", which is the number of composite numbers from 1 to a given limit, inclusive? Let's find out...\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: 216px 8px; transform-origin: 216px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eNOTE: The number '1' is considered as neither prime nor composite.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function cp = compositePi(lim)\r\n    pc = lim * 3 / 4 - 1;\r\nend","test_suite":"%%\r\nlim = 100;\r\ncp_correct = 74;\r\nassert(isequal(compositePi(lim),cp_correct))\r\n%%\r\nlims = 1000:2000;\r\ncp = arrayfun(@(x) compositePi(x),lims);\r\ns = sum(histc(cp,unique(cp)));\r\nassert(isequal(s,lims(2)))\r\n%%\r\nlim = intmax;\r\ncp_correct = 2042386081;\r\nassert(isequal(compositePi(lim),cp_correct))\r\n%%\r\nlim = 1e10;\r\ncp_correct = 9544947488;\r\nassert(isequal(compositePi(lim),cp_correct))\r\n%%\r\nlim = 12345678910;\r\ncp_correct = 11789236852;\r\nassert(isequal(compositePi(lim),cp_correct))\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":10,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":6,"test_suite_updated_at":"2021-08-19T12:16:47.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-08-18T06:37:48.000Z","updated_at":"2026-02-09T10:46:24.000Z","published_at":"2021-08-19T11:52:01.000Z","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\u003eThe prime Pi function is defined as the number of prime numbers from 1 to a certain given limit. In MATLAB, it is easy to create a prime Pi procedure, because there are  built-in functions such as \\\"primes\\\" and \\\"isprime\\\". To calculate the prime Pi up to 100, we may just proceed as follows:\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[\u003e\u003e numel(primes(100))\\n\u003e\u003e ans =\\n    25\\n\u003e\u003e nnz(isprime(1:100))\\n\u003e\u003e ans =\\n    25]]\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\u003eCan we make a function for \\\"composite Pi\\\", which is the number of composite numbers from 1 to a given limit, inclusive? Let's find out...\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\u003eNOTE: The number '1' is considered as neither prime nor composite.\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":52574,"title":"Easy Sequences 8: Triangles with integer sides and prime perimeters","description":"The triangle below is special.\r\n\r\nIt has integer sides and a prime perimeter.  \r\nGiven an integer \"n\" we want to know how many triangles can be formed such that the sides are integers and the perimeters are primes less than or equal to the nearest prime to \"n\". \r\nThe nearest prime number is defined as:\r\n\"n\" if \"n\" itself is prime;\r\neither the previous prime before or the next prime after \"n\", whichever has lesser distance to \"n\"; or\r\nthe previous prime before \"n\" if the previous and next primes are equidistant to \"n\".\r\nAs an example, lets consider \"n = 9\". The nearest prime is 7 because 9 is equidistant between 7 and 11. The primes less than equal to 7 are [2 3 5 7].  There are no integral triangles that can be formed with perimeter 2. For 3 there is one, namely [1 1 1]. For 5 there is one, [1 2 2]. And for 7 there are 2, [1 3 3] and [2 2 3] . So, the total number of prime perimetered integral triangles that can be formed when n = 9 is 4.\r\nNOTE: Rotations and reflections are irrelevant and counted only once.","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: 451.3px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 225.65px; transform-origin: 407px 225.65px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 91px 8px; transform-origin: 91px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe triangle below is special.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 105px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; 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 52.5px; text-align: left; transform-origin: 384px 52.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: middle;width: 175px;height: 105px\" 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\" data-image-state=\"image-loaded\" width=\"175\" height=\"105\"\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: 136.5px 8px; transform-origin: 136.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIt has integer sides and a prime perimeter.  \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: 118.5px 8px; transform-origin: 118.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven an integer \"n\" we want to know \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: 264.5px 8px; transform-origin: 264.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ehow many triangles can be formed such that the sides are integers and the perimeters are primes less than or equal to the nearest prime to \"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: 4px 8px; transform-origin: 4px 8px; 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; 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: 128px 8px; transform-origin: 128px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe nearest prime number is defined as:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 61.3px; counter-reset: list-item 0; 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 30.65px; transform-origin: 391px 30.65px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; 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 10.2167px; text-align: left; transform-origin: 363px 10.2167px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 70.5px 8px; transform-origin: 70.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\"n\" if \"n\" itself is prime;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; 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 10.2167px; text-align: left; transform-origin: 363px 10.2167px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 311.5px 8px; transform-origin: 311.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eeither the previous prime before or the next prime after \"n\", whichever has lesser distance to \"n\"; or\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; 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 10.2167px; text-align: left; transform-origin: 363px 10.2167px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 260.5px 8px; transform-origin: 260.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethe previous prime before \"n\" if the previous and next primes are equidistant to \"n\".\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\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\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-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=\"\"\u003eAs an example, lets consider \"n = 9\". The nearest prime is 7 because 9 is equidistant between 7 and 11. The primes less than equal to 7 are [2 3 5 7].  There are no integral triangles that can be formed with perimeter 2. For 3 there is one, namely [1 1 1]. For 5 there is one, [1 2 2]. And for 7 there are 2, [1 3 3] and [2 2 3] . So, the total number of prime perimetered integral triangles that can be formed when n = 9 is 4.\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: 221.5px 8px; transform-origin: 221.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eNOTE: Rotations and reflections are irrelevant and counted only once.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function count = numPerims(given_number)\r\n    y = sumPerims(n);\r\nend","test_suite":"%%\r\nn = 7;\r\nc_correct = 4;\r\nassert(isequal(numPerims(n),c_correct))\r\n%%\r\nn = 10;\r\nc_correct = 8;\r\nassert(isequal(numPerims(n),c_correct))\r\n%%\r\nns = 100:200;\r\nc_correct = 571449;\r\nassert(isequal(sum(arrayfun(@(n) numPerims(n),ns)),c_correct))\r\n%%\r\nn = 1000;\r\nc_correct = 1037542;\r\nassert(isequal(numPerims(n),c_correct))\r\n%%\r\nn = 2^16;\r\nc_correct = 180975423920;\r\nassert(isequal(numPerims(n),c_correct))\r\n%%\r\nn = 2^20;\r\nc_correct = 591520654673872;\r\nassert(isequal(numPerims(n),c_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":11,"test_suite_updated_at":"2021-08-20T14:18:59.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-08-20T09:06:04.000Z","updated_at":"2026-02-09T10:57:16.000Z","published_at":"2021-08-20T14:18:59.000Z","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 triangle below is special.\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=\\\"105\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"175\\\"/\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=\\\"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\u003eIt has integer sides and a prime 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\u003eGiven an integer \\\"n\\\" we want to know \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ehow many triangles can be formed such that the sides are integers and the perimeters are primes less than or equal to the nearest prime to \\\"n\\\"\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\u003eThe nearest prime number is defined as:\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\u003e\\\"n\\\" if \\\"n\\\" itself is prime;\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\u003eeither the previous prime before or the next prime after \\\"n\\\", whichever has lesser distance to \\\"n\\\"; or\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 previous prime before \\\"n\\\" if the previous and next primes are equidistant to \\\"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:t\u003eAs an example, lets consider \\\"n = 9\\\". The nearest prime is 7 because 9 is equidistant between 7 and 11. The primes less than equal to 7 are [2 3 5 7].  There are no integral triangles that can be formed with perimeter 2. For 3 there is one, namely [1 1 1]. For 5 there is one, [1 2 2]. And for 7 there are 2, [1 3 3] and [2 2 3] . So, the total number of prime perimetered integral triangles that can be formed when n = 9 is 4.\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\u003eNOTE: Rotations and reflections are irrelevant and counted only 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gQ29yZSA2LjAuMCI+CiAgIDxyZGY6UkRGIHhtbG5zOnJkZj0iaHR0cDovL3d3dy53My5vcmcvMTk5OS8wMi8yMi1yZGYtc3ludGF4LW5zIyI+CiAgICAgIDxyZGY6RGVzY3JpcHRpb24gcmRmOmFib3V0PSIiCiAgICAgICAgICAgIHhtbG5zOmV4aWY9Imh0dHA6Ly9ucy5hZG9iZS5jb20vZXhpZi8xLjAvIj4KICAgICAgICAgPGV4aWY6UGl4ZWxZRGltZW5zaW9uPjQxODwvZXhpZjpQaXhlbFlEaW1lbnNpb24+CiAgICAgICAgIDxleGlmOlBpeGVsWERpbWVuc2lvbj43MDA8L2V4aWY6UGl4ZWxYRGltZW5zaW9uPgogICAgICAgICA8ZXhpZjpVc2VyQ29tbWVudD5TY3JlZW5zaG90PC9leGlmOlVzZXJDb21tZW50PgogICAgICA8L3JkZjpEZXNjcmlwdGlvbj4KICAgPC9yZGY6UkRGPgo8L3g6eG1wbWV0YT4KlbbGDQAAABxpRE9UAAAAAgAAAAAAAADRAAAAKAAAANEAAADRAAA68GPNZMEAADq8SURBVHgB7N0HmNTU+j/wd3tlGyBFEeEHijSl9957XfrSpEmRC0rvIFxgBQEREOlVWDpL7yBF4Ar/q0gVEQEvXNyF7X3/eeOd2WQy22d2ksw3z3OfSU6Sk3M+WS/vnDnFIVXYCBsEIAABCEAAAhCAAAR0KuCAgFenbxbVggAEIAABCEAAAhAQBRDw4g8BAhCAAAQgAAEIQEDXAgh4df16UTkIQAACEIAABCAAAQS8+BuAAAQgAAEIQAACENC1AAJeXb9eVA4CEIAABCAAAQhAAAEv/gYgAAEIQAACEIAABHQtgIBX168XlYMABCAAAQhAAAIQQMCLvwEIQAACEIAABCAAAV0LIODV9etF5SAAAQhAAAIQgAAEEPDibwACEIAABCAAAQhAQNcCCHh1/XpROQhAAAIQgAAEIAABBLz4G4AABCAAAQhAAAIQ0LUAAl5dv15UDgIQsCeB1NRURXUdHBwUaUiAAAQgYG8CCHjt7Y2jvhCAgC4FzAW7XFEEvLp83agUBCCQTQEEvNkEw+UQgAAE1CiAgFeNbwVlggAE1CKAgFctbwLlgAAEIJBDAQS7OYTDbRCAgN0IIOC1m1eNikIAAnoVQMCr1zeLekEAApYSQMBrKUnkAwEIQMAGAq9fvyZfX18yDXrRd9cGLwOPhAAEVCuAgFe1rwYFgwAEIJCxwIMHD6hv37505swZcnV1lV2MgFfGgQMIQMDOBRDw2vkfAKoPAQhoVyAwMJCuXbtGFStWpA0bNlBAQICxpRcBr3bfK0oOAQhYXgABr+VNkSMEIAABqwu8fPmSqlevbpx2LH/+/BQaGkpvvPGG1Z+NB0AAAhDQmgACXq29MZQXAhCAgCCwePFiWrJkCbm4uIgeKSkp5OPjQ1u2bKEKFSrACAIQgAAEJAIIeCUY2IUABCCgFQF/f3+xC4NpeTl97969VKxYMdNTOIYABCBgtwIIeO321aPiEICAVgVu3bpFLVq0IDc3N7NVcHJyopCQEPrggw/MnkciBCAAAXsTQMBrb28c9YUABDQvMG7cONq9e7ex/66hQjw1mWGwGndv4GtKlixpOI1PCEAAAnYrgIDXbl89Kg4BCGhRIDExkWrVqkXh4eGZFp/79Z49e5aKFy+e6bW4AAIQgICeBRDw6vntom4QgIDuBLirwpgxYxTdGZKSksjZ2VlRX29vbzp9+jTxLA7YIAABCNirAAJee33zqDcEIKBJgdKlSxO33Eo3bvXt1asX7dy509ilQXre3d2dTp06RYULF5YmYx8CEICA3Qgg4LWbV42KQgACWhc4dOgQjRo1ShbUcvDbrFkzWr16tXhu//79xqnKpPXlAW43btxQtAxLr8E+BCAAAb0KIODV65tFvSAAAd0JDBo0SFxG2LRiHOSWL19eTJ40aRJ999135OjoKLuMB7QVKlSIjh49Sr6+vrJzOIAABCCgdwEEvHp/w6gfBCCgC4Ho6Gji7gweHh6y+vB8uxzEcrcFwxYUFEQXLlwgnp5MunHQ6+XlJS5HLL1eeg32IQABCOhRAAGvHt8q6gQBCOhO4KOPPqKTJ0/KBqbFx8fTtGnTaOjQoYr6fvLJJ+JSw4ZpygwXcNDLQfKZM2cUrcCGa/AJAQhAQG8CCHj19kZRHwhAQHcCL168oNq1axMHq9KNuy3cv39fmiTb79u3L507d04WJPMFycnJYtB75MgR4lkcsEEAAhDQuwACXr2/YdQPAhDQvMC2bdvEllxpRTj45enJeBBbehsHtv3796dLly6ZvaRUqVJ07Ngxs+eQCAEIQEBPAgh49fQ2URcIQECXAg0aNKAnT57I6ubq6kqHDx+mEiVKyNJND3gWh2HDhon9fF1cXGSneTqzChUq0K5duxR9g2UX4gACEICAxgUQ8Gr8BaL4EICAvgW+//576tq1qzjYzFBTbt3l1tnjx48bkjL85KA3MDCQfvzxR7P9dmvWrEmbN282ey7DjHESAhCAgEYEEPBq5EWhmBCAgH0KNGnShH777TfZ3LsRERHiALYPPvggyygc9Pbp04cuX76sCGx5lTae1mzfvn1m5/DN8kNwIQQgAAGVCiDgVemLQbEgAAEI8IC0du3aEXc9kG456XvLrcIJCQnUuXNn+vnnnxUD2fh8o0aNaM2aNbLgWvpc7EMAAhDQqgACXq2+OZQbAhDQvcDChQtp1apVigB03rx51L179xzXn1dme/jwoeJ+DnrLli1LvJCF6Ry+iouRAAEIQEBDAgh4NfSyUFQIQMC+BEqWLKkIdnle3evXr5Ofn1+OMaKioqh169b0+PFjRWDLXR+4GwW39GKDAAQgoBcBBLx6eZOoBwQgoCuBJUuW0KJFi4hnYzBs3CWBlxeeMWOGISlXn+Zmf+AMeTqzevXq0caNGxX9fXP1QNwMAQhAwEYCCHhtBI/HQgACEEhPIDY2llq0aEFPnz6VXcKB6IMHDxT9b2UXZeMgMjJSDGx5EJzpimxo6c0GJC6FAARUL4CAV/WvCAWEAATsTeCnn36iDh06KIJQHsDGLb+W3HhAXOPGjenZs2eKbPkcD3Kz9DMVD0ICBCAAASsLIOC1MjCyhwAEIJBdAZ4+7OLFi7LuBNziyl0M6tevn93sMr2eW3irVKlC/AzTjVuVO3XqRF9++aXpKRxDAAIQ0IwAAl7NvCoUFAIQsAcBnnO3Ro0alC9fPmN1efaEAgUK0NWrV41plt7566+/qFWrVsSfphu39Pbr14/mzJljegrHEIAABDQhgIBXE68JhYQABOxFYPTo0XTw4EFZd4b4+Hhav3498XRi1tz+85//UMOGDcX5ek379HK/4rFjx9Jnn31mzSIgbwhAAAJWEUDAaxVWZAoBCEAg+wIcVHKXhbCwMNnNRYoUoXPnzimmEJNdZKEDHijHU5ZFR0cTtyxLN+7yMGrUKDHwlaZjHwIQgIDaBRDwqv0NoXwQgIDdCBw5ckScdszd3d1YZw46g4KCaNasWcY0a+/cu3ePunbtSjxfr2lLL8/sMHPmTBo+fLi1i4H8IQABCFhMAAGvxSiREQQgAIHcCbz77rviHLjSXOLi4ujy5cv09ttvS5Otvv/o0SNq06YN8fPNbRz0ciCODQIQgIAWBBDwauEtoYwQgIDuBQ4fPkwff/yxbI5dniGB+9Ru2LDBJvW/desWdenShXjQmunGgfCUKVPQ0msKg2MIQECVAgh4VflaUCgIQMDeBHgFtTNnzsiqzQHv+fPn87x1V1oInhO4W7du4kA2aTrvc3cLXg2Opy3DBgEIQEDNAgh41fx2UDYIQMAuBLi1tEyZMopBaaVKlaLQ0FBycXGxqQP36W3evLmifFwoDsrHjx+Pll6bviE8HAIQyEwAAW9mQjgPAQhAwMoCEyZMoO3bt8sCW+5GMGnSJLGbg5Ufn6Xsv//+e+rbt69iEBvfzC29vDAFrw6HDQIQgIAaBRDwqvGtoEwQgIDdCISHh1PlypVlq6px5Tngffz4saocbt++LS5O4eTkpChXUlISzZ8/n3r27Kk4hwQIQAACthZAwGvrN4DnQwACdi3AywXPnj1bZsDdBLh1d+jQobJ0NRzwfMDcp9fb21tRHJ7CbOnSpeLsDoqTSIAABCBgQwEEvDbEx6MhAAEItG3blrjlVLp5eHjQ8ePHqWjRotJk1exfuXKFevfubbY83B+Zg/imTZuaPY9ECEAAArYQQMBrC3U8EwIQgIAgcPPmTbGLgKenp9GD+8NWqFCB9u/fb0xT486xY8eoT58+5OPjoyge12HHjh1UrVo1xTkkQAACELCFAAJeW6jjmRCAAAQEAV7Cl1t3HR0djR68khnPyVu1alVjmlp3eAaJ0aNHK4rHXRu4pTckJIRq1aqlOI8ECEAAAnktgIA3r8XxPAhAAAKCwJ07d8RZDXiwl3QrXbo0HT16VJqk6v21a9fSjBkzyM3NTVFODnp5bmFeQQ4bBCAAAVsKIOC1pT6eDQEI2K0AT+O1fPlyRf150Bf369XStm3bNnHVNWlLtaH8nLZnzx6xm4YhDZ8QgAAE8loAAW9ei+N5EIAABAQBbslNSUmRWXBf3rNnz1L+/Pll6Vo4WLx4MS1btszs4hQJCQniinElSpTQQlVQRghAQIcCCHh1+FJRJQhAQN0C3377Lc2cOZPc3d2NBeV5d7t3707BwcHGNK3trF+/nubMmWN2cQoO5rlvcrFixbRWLZQXAhDQgQACXh28RFQBAhDQjgAHtnXq1KG//vpLVmhuBeUBbObmt5VdqPKDhQsX0ldffUWurq6ykvLMDc7OzmLQy0smY4MABCCQlwIIePNSG8+CAATsXoCnIuvatau4HK8Uo02bNmKXAGmaVvfT65/M9cmXL584kM3f31+r1UO5IQABDQog4NXgS0ORIQAB7QoMGzZMXFSCp+4ybLy/bt06ql+/viFJ859Lliwhbu3lRTSkG/db9vX1FQeylSxZUnoK+xCAAASsJoCA12q0yBgCEICAXIC7MfAUXX5+frIT3L/1p59+kqXp4WD69Om0adMmswPZuIWXV5MLCAjQQ1VRBwhAQOUCCHhV/oJQPAhAQD8CI0aMEPuwSqfvio2NJZ6KLDAwUD8VldSEuzcsWrRIMU8v9+nl7g0c9BYqVEhyB3YhAAEIWF4AAa/lTZEjBCAAAYUAr6DWpEkTxWA1/nn/xx9/VFyvp4SJEyfS5s2bZbNSGOrHszbwMsrsgA0CEICAtQQQ8FpLFvlCAAIQkAicPHmSBg4cSC4uLpJUov79+9O0adNkaXo8+PTTT8V+u9LWbUM9uZ/vpUuXyMfHx5CETwhAAAIWFUDAa1FOZAYBCEDAvEDVqlUpLCxMNkctT0V26tQpu1l6d8iQIWKXDnPLEBcvXpxOnDhhtr+veVGkQgACEMi6AALerFvhSghAAAI5EuCgtl+/frJ+rDxbQdmyZenQoUM5ylOrN3GL9vnz52WBP9eF+/S+8cYb4hcALy8vrVYP5YYABFQqgIBXpS8GxYIABPQhwIEtB3kXL16UVSguLk5Me+edd2Tpej9gjy5duoj9lnkhCunGQS+39J45c0aajH0IQAACuRZAwJtrQmQAAQhAIH0BHqxWvXp14u4L0q1MmTJ04MABu/0JPygoSAz4pfMRs09ycjK99957dPDgQcVqbVI/7EMAAhDIjgAC3uxo4VoIQAAC2RRYsGABff3117LBahzUjR8/noYPH57N3PR1Oc9a8fDhQzIdyMYtvbwoBQ/0wwYBCEDAEgIIeC2hiDwgAAEImBHgOXa5n65pQBcfH0+///673bbuGqg4sO3VqxddvXrVkGT85C8FVapUod27d4v9e01bgo0XYgcCEIBAFgQQ8GYBCZdAAAIQyIkALxc8Z84cWcCblJREI0eOpHHjxuUkS93dw316mzZtKrb0Ojk5yerHVrVq1aLt27crBrnJLsQBBCAAgUwEEPBmAoTTEIAABHIq0LFjR8WSwTwl17lz56hgwYI5zVZ39/EAvq5du9Lt27cVdeOAuFGjRsRfHrBBAAIQyKkAAt6cyuE+CEAAAhkI/Pbbb1SnTh3iRRWkW+XKlWnHjh2yVl/peXvdj46Ops6dO9Pdu3cVXT04IOYvD8uXL0dLr73+gaDeEMilAALeXALidghAAALmBDhAu3nzpix44z69mzZtEn/CN3ePvadxYNuqVSt6/PixWYp27drRkiVLzJ5DIgQgAIGMBBDwZqSDcxCAAARyIPDgwQNq1qyZrBWXB2gVKVJEMR9vDrLX9S0RERHUoUMHevTokcyPK82D/Tgg/vbbb3VtgMpBAAKWF0DAa3lT5AgBCNi5wKJFi2jFihUyBe6LumzZMuJWSmzpC/AXg6ioKGrZsiU9e/ZMEfTyeZ7Dd9asWelngjMQgAAETAQQ8JqA4BACEIBAbgUqVqxI3CdVuvn6+tKJEycof/780mTspyPA3Rtq165Nr1+/VlzBU5a1aNGCvvnmG8U5JEAAAhAwJ4CA15wK0iAAAQjkUGDnzp00evRo8vT0NObAARq3WK5atcqYhp3MBZ4/fy52YQgPD1e09HKL+aBBg2jKlCmZZ4QrIAABuxdAwGv3fwIAgAAELClgrnWXlxe+c+cOBQQEWPJRdpEXL8lcqVIl4hZf043n6e3ZsyfNnz/f9BSOIQABCMgEEPDKOHAAAQhAIOcC165dE1cO49ZHw8Z9TnkAG35+N4hk/5NnbeC5eM1tbD106FCaOHGiudNIgwAEICAKIODFHwIEIAABCwmMGTOG9u/fL5srlpfE3bx5s7himIUeY5fZvHz5kho3bqzoG80Y3PrL9p999pld2qDSEIBA5gIIeDM3whUQgAAEMhXgOXZLlChBXl5esmt54Yl///vfij6osotwkCUBnqqMF/Nwd3dXXM/9pCdMmEAff/yx4hwSIAABCCDgxd8ABCAAAQsIcOtiSEgIOTs7G3PjlseZM2fS4MGDjWnYyZ3Aw4cPxXl6Y2JiFBlx2ty5c2ngwIGKc0iAAATsWwABr32/f9QeAhCwgMCrV6/E1dN4NgHpxsEvL5WLzbICP/30E7Vp04ZcXFwUGXNLO8+G0b59e8U5JEAAAvYrgIDXft89ag4BCFhI4OTJkzRkyBBZ313Omlt2MZjKQsgm2XA3kcDAQOKZGkw3TgsODqZu3bqZnsIxBCBgpwIIeO30xaPaEICA5QR4EYT79+/LAl6eneHAgQNUvnx5yz0IOckEeCEP7rPL1qYbr9a2detWseXd9ByOIQAB+xNAwGt/7xw1hgAELChw+fJl6ty5s2yhCZ4qq3jx4nT27FkLPglZmRO4fv26OBevdCo4w3WOjo7iEs88LRw2CEDAvgUQ8Nr3+0ftIQCBXAhwyyIvfHD16lVZ6y4PnuJuDuXKlctF7rg1qwLHjh2jYcOGmZ0JgxeuWLlyJbVt2zar2eE6CEBAhwIIeHX4UlElCEAgbwR4blheEMF0xoD33nuPDh8+nDeFwFNEgfPnz4tLDfP0ZKYbz4XM3Rtq1KhhegrHEICAnQgg4LWTF41qQgAClhfg1dN4GizpbAHc6jtu3DjMB2t57kxzPH36NAUFBZmdp5dvXrZsmTi7Q6YZ4QIIQEB3Agh4dfdKUSEIQCCvBN566y1yc3OTPS4xMVFcaMLPz0+WjoO8Edi7dy+NHTvWbPcGJycn2rFjB1WqVClvCoOnQAACqhFAwKuaV4GCQAACWhJYv369uKiEdKEJng6LWxg///xzLVVFd2U9deoU9enTRzaQ0FBJboHfuHEj1atXz5CETwhAwA4EEPDawUtGFSEAAcsKcD/RLl26EC+AIN14VoBr164RWnelKrbZ37Jli9i1xNPTU1EAXpqYV8UrW7as4hwSIAABfQog4NXne0WtIAABKwo8f/6cqlSpoujOUL16dXFwFAe+2GwvwN0Xxo8fL1vu2VAqXvaZ+/zyAENsEICA/gUQ8Or/HaOGEICAhQV69epFly5dIu4Tath4+qvly5dThw4dDEn4VIEADyycMWMGeXl5KUrDLb1Hjhyht99+W3EOCRCAgL4EEPDq632iNhCAgJUFHj9+TLVr15a17nK/UA6efvnlFys/HdnnRGDp0qXE/+PpyUw3HmTIC4SULFnS9BSOIQABHQkg4NXRy0RVIAAB6wvMnz+fvv32W9mDOGhatWoVtW7dWpaOA/UIzJ49m1avXi37omIoHU8rx32v8+XLZ0jCJwQgoDMBBLw6e6GoDgQgYF0Bbt3lPrzSjQepcX9QX19faTL2VSbAX1a4i4NpH2tuoefBbcePH6eiRYuqrNQoDgQgYAkBBLyWUEQeEICAXQhwQNS/f3/y8PAw1peDpQYNGhBPU4ZN/QIjR46k0NBQWf9rQ6m5W8q//vWvdBeuMFyHTwhAQHsCCHi1985QYghAwEYCVatWpbCwMFlf0FevXokLTbz55ps2KhUem10Bnid57dq1Zlt633jjDTp27Bha67OLiushoHIBBLwqf0EoHgQgoA6BK1euiIsZcIuuYeP9WrVqiVORGdLwqQ2BESNG0MGDB2XLQnPJ+Z0WLFiQTpw4QT4+PtqoDEoJAQhkKoCAN1MiXAABCECAxPlcd+/eraDguV655Reb9gQmT54sLjVsWnIOerkvL6/YZrp0tOm1OIYABLQhgIBXG+8JpYQABGwowEsGly5dWvETuL+/P124cEHWp9eGxcSjcyAwevRo2rVrl6LfLq+m984779C+ffuwcl4OXHELBNQmgIBXbW8E5YEABFQnMHPmTFq3bp3s529eaGLMmDE0duxY1ZUXBcqewNChQ8UuDObm6eUvOvv370dLb/ZIcTUEVCeAgFd1rwQFggAE1CQQERFBdevWpejoaEWxfv31V0UaErQnwF0YePaGAwcOkKurq6wC3LpfqlQpOnz4MIJemQwOIKAtAQS82npfKC0EIJDHAjxif/jw4YqnDhgwgKZOnapIR4L2BDjg5dZdXjL64sWL5OzsrKhE5cqVadu2bbJWfsVFSIAABFQrgIBXta8GBYMABNQg0KlTJ3HaMWlZnJyciAewVahQQZqMfR0IdOvWTVx1zXRxipSUFHr77bfpzJkzir7cOqg2qgAB3Qsg4NX9K0YFIQCBnArcvn2b6tevL5ueilsDixcvLgY+Oc0X96lTgN8tB7ZdunShGzduKFp6+TyvtLdlyxZ1VgClggAE0hVAwJsuDU5AAAL2LtC5c2e6efOmbKGJmJgY2rlzJ9WrV8/eeXRd/+bNm5O5PtocEL/33nt06NAhs6u16RoFlYOAhgUQ8Gr45aHoEICA9QSeP39OzZo1UwxW49bd06dPW+/ByFkVArGxsdSiRQv6448/FF0YuKW3Zs2aYp9eVRQWhYAABDIVQMCbKREugAAE7FFg06ZNNG3aNMXP2hMmTKAhQ4bYI4ld1pm/9HBLr+mUZYmJiWJ3l82bNyvO2SUUKg0BlQsg4FX5C0LxIAAB2wiULFlSEcjwz9mXL1+mwoUL26ZQeGqeC/B0dLx8dFRUlOLvgVt6GzVqRGvXrs3zcuGBEIBA9gQQ8GbPC1dDAAJ2IMCtdpMmTZLNu8rzsbZq1YpWrVplBwKoolSAuze0bduWHj16JE0W93kBko4dO9JXX32lOIcECEBAPQIIeNXzLlASCEBABQIc2Hbo0IHu3LkjKw0HNrdu3ZLN2CC7AAe6FoiMjKQ6deqYbenlv43BgwfT9OnTdW2AykFAywIIeLX89lB2CEDA4gJ//vmnuLKaacY8SGnr1q2myTi2I4FXr15R+/bt6enTp4pac5/eoKAgmjt3ruIcEiAAAdsLIOC1/TtACSAAARUJjBo1ig4ePCibcio5OZmCg4MpMDBQRSVFUWwhwF+IuHtDWFiYYvYGnrJu7NixNG7cOFsUDc+EAAQyEEDAmwEOTkEAAvYl8OLFC6pUqRK5u7vLKs6Dkx4+fChLw4H9CnCwy7M3cIuvuY1n8eDZPLBBAALqEUDAq553gZJAAAI2Fpg3bx6tWbNGNho/Pj6evvjiC+rRo4eNS4fHq0mApyrjwWo8i4PplGVxcXH0ySefIOhV0wtDWexeAAGv3f8JAAACEGABHqzGrXaPHz+Wgfj4+NDFixfJ09NTlo4DCHD3hpYtW4oD2Uw1+FeByZMn06BBg0xP4RgCELCBAAJeG6DjkRCAgPoEOKjt3r27bCoyDlp4iVlMRaa+96WWEj158oQaNmxI/LdiuvGXqGHDholT3JmewzEEIJC3Agh489YbT4MABFQqUK9ePeLgxdHR0VhC/rn65MmTVL58eWMadiBgKnD//n1xKjvuymDavYEXK+GZG3r16mV6G44hAIE8FEDAm4fYeBQEIKBOgStXroh9dJ2cnIwF5Ba7ihUr0r59+4xp2IFAegLPnj0TV2RzdnZWXMItvePHj6cRI0YoziEBAhDIGwEEvHnjjKdAAAIqFuBppPbs2SMrIbfM7dy5k6pVqyZLxwEE0hO4ceOG2NLr4uKiuIS/QHFLb8+ePRXnkAABCFhfAAGv9Y3xBAhAQMUCHIi8++67xAGudCtSpAgdO3aMvLy8pMnYh0CGArxCX+vWrRVdG/gmnqeXlyDu2rVrhnngJAQgYHkBBLyWN0WOEICAhgQWL15M/D83NzdjqfknaF4qdurUqcY07EAgqwKXLl2iTp06kbe3t9lbvvnmG2ratKnZc0iEAASsI4CA1zquyBUCENCAAM+xW65cOcUI+4SEBOJ5Vl1dXTVQCxRRjQIXLlyggQMHKn454LJGRkbStm3bEPSq8cWhTLoVQMCr21eLikEAApkJHDlyhHgpYemUUrzfp08fmj17dma34zwEMhTgvy+eh9d05T6+iX9F4CWseWAkNghAwPoCCHitb4wnQAACKhXgqaJ++OEHWel4lP3+/fupTJkysnQcQCAnAkePHqWRI0fKvlQZ8uGgl1t669SpY0jCJwQgYCUBBLxWgkW2EICAugWeP39OZcuWJT8/P1lBixYtSvxzNDYIWEpgw4YNNGvWLNkcz4a8ExMT6fjx4/iCZQDBJwSsJICA10qwyBYCEFC3AK+qdvXqVVkQwqPo165dK46yV3fpUTqtCRw6dEjsPmO6MAXXg39V2L59O1WuXFlr1UJ5IaAZAQS8mnlVKCgEIGApAV4koFmzZsQrY0k3f39/un79ujQJ+xCwmAAvUT1v3jxKb57eAwcOYFU/i2kjIwjIBRDwyj1wBAEI2IEAt6ZNmTJFMVfq9OnTqV+/fnYggCraSmDHjh00efJks4/nwW08kK1kyZJmzyMRAhDIuQAC3pzb4U4IQECjApUqVaKIiAhZ6R0dHenMmTP01ltvydJxAAFLC6xbt078wuXp6SnLmmcI8fDwELs3YPYGGQ0OIJBrAQS8uSZEBhCAgJYE9u7dSyNGjBADC0O5k5OTxSWEQ0JCDEn4hIBVBbh7w8KFCxW/MvBDeXW/w4cP48uXVd8AMrc3AQS89vbGUV8I2LEAB7atWrUSF5WQMkRFRdHt27cpICBAmox9CFhVgFt6uXuD6fLVhpZensf37bfftmoZkDkE7EUAAa+9vGnUEwIQoEePHlGLFi3ESf+lHDVr1qStW7dKk7APgTwRWLBgAS1fvlyxqh/P5sBT5oWGhlLhwoXzpCx4CAT0LICAV89vF3WDAARkAlOnThUDW+6va9i4NS04OJi6dOliSMInBPJUYP78+bRixQqzszdwQXhxlAIFCuRpmfAwCOhNAAGv3t4o6gMBCJgV4G4LpUuXJtOBQnzxvXv3yMnJyex9SIRAXghMnDiRtmzZQm5uborHFSpUiE6cOKHo+qC4EAkQgEC6Agh406XBCQhAQE8CPP/p6tWrZYFtQkICTZo0iYYPH66nqqIuGhXgJYh5sJrp4hT8KwQHwpcvX1asDKjRqqLYEMhzAQS8eU6OB0IAAnktwAtM8GC1x48fyx7Nrb280IS5VjXZhTiAQB4J8Jcv7rdrbnEK7st78eLFPCoJHgMBfQkg4NXX+0RtIAABMwI3b96kdu3aKQYGtW7dmpYtW6ZoUTOTBZIgkGcCPG0et/RK+5rzw1NSUsQBbMePH6d8+fLlWXnwIAjoQQABrx7eIuoAAQhkKMDLCD948EAWQHB3Bp53l2dowAYBtQkEBgaKvz6YBr1cTl4c5dy5c2orMsoDAVULIOBV9etB4SAAgdwKcOtumzZtiJdtNWzcJ5LnNz179qwhCZ8QUJ0Ad284evSo4heIpKQkKlOmDB04cED81cK0z6/qKoICQUAFAgh4VfASUAQIQMB6AmPGjBEDA+kTEhMTaceOHVSrVi1pMvYhoDqBtm3b0s8//ywbbMmF5O4NZcuWFfv76ibgFb6IJty/T8l/PqPU6Ghy9PcnFyGwd/LHgjCq+8PUYIEQ8GrwpaHIEIBA1gUqVKhAMTExshuKFi0qTvMkbfWVXYADCKhEgFcH/Oijj+jChQuKEnHQ+8EHH9CePXtk3XUUF6o4IVXoWhR7+hQlHD9MKVeFOsZFyUvr4EgOZauQW/c+5NG8BTk4O8vP4wgCWRRAwJtFKFwGAQhoT2D9+vXEi01IA1sOEnr37k2ff/659iqEEtulAPc379mzJ127dk0xewP/WtG4cWNau3atohVY1VhCa250yA6KXx5MFPM6a0V19yaPeUvJo36DrF2PqyAgEUDAK8HALgQgoC+BEiVKKFq+IiMjxSWGzS1Aoa/aozZ6EuB+5zyQ7caNG2arxd1zNm3apPh7N3uxjRPjLn5PMXOmEL18moOSOJDLgE8o34hRObgXt9izAAJee377qDsELCjA/yBz66laVizjAT3/+Mc/ZAN+uHydO3emRYsWWbDmyAoCeSPAXXM46OU+vc4mP+1zK3CTJk1ow4YNeVOYnDxF6J4RsWAeJe3ZJNydaj4HJ1dyLF+VHN8vRymPH1HK/dtCYPxMuDxFdr3rsPHkPWiILA0HEMhIAAFvRjo4BwEIaFagf//+in6PPLiHl2jlll9sENCaAH+p5L/h5s2bi9PsmQ5W4/M8t/RXX30l+6KnhnomCQPRIocPotQ/7pkpjgM51mhEbt16knvtuuTg4iK7JlGYUjBq+kRKvXdTku5AHgtXkkfjppI07EIgfQEEvOnb4AwEIKBRgdevX9P7779PHh4eshoUK1aMTp8+rYmffWUFxwEEJALcmtuoUSN69uyZ4m+ZB7nx3NLfffed5A7b7ib8couihvRWDkjjYvkWJM85XwiBbp2MCykE86/HjaHks6Fp17l6kt+RC+To65uWhj0IpCOAgDcdGCRDAALaFeBR7SdPnpT97BsbG0uLFy+mHj16aLdiKDkE/ifAf8/c0vvkyRNF0Mtdd7p27UrBwcKAMBtvcZcuUszYwURJCcqSOLmQ97oQci1XXnkunZTw/r0o9eerxrNOLbuS7+fzjcfYgUB6Agh405NBOgQgoEkBbvXi1i+enF+68UwNt27dkiZhHwKaFuDAtmrVqsS/aJhu3NLL/x3wTCW22mKPH6PYqZ8IkwYnZ1AEoTtD3eaUb/pscgrIn8F1f59KDvuLXrdtRJTwv6kGHZ3J78QPaOXNVA4XIODF3wAEIKArAR6pPmvWLFmduG/jtGnTaMCAAbJ0HEBA6wJhYWHUtGlTevXqlaLfLgfEPJ3ZvHnz8rya8f/vJkUPFn5NSZF/8SRnV2EAmjBgLTlRXiaPfOT5xUpyr5H5Ut+Rq1dR4uovjPe7T19Enu07GI+xAwFzAgh4zakgDQIQ0KxAgwYNxJ95pRVwc3MTl2jl5YSxQUBvAtynt0aNGhQREaGoWnx8PAUFBdE///lPxTlrJfAAtYjA1so+uz75Kd/6neRcsCBFbVhHiZtXESXGpRXD0Yk8gr8hjwYN09LM7KXGxVF4w8p/d5MQFqbwWrOT3D740MyVSIJAmgAC3jQL7EEAAhoX4H67/I+7dI5dbuWqXLky7d69W+O1Q/EhkL7An3/+SXXr1jV7Af/CMWTIEJo4caLZ85ZODO/USpiN4b482wJvku/2vbJlgpP/+4IiRg2l1Ac/pV0rdFEQ+/WWr5CWZmYvYs5MSjqym9xnBJNni5ZmrkASBOQCCHjlHjiCAAQ0LMArTj169Ej2025UVBRdvHiRSpUqpeGaoegQyFzgxYsX1KpVK7F7g+nV0dHRYsDLc1Nbc4sJPUhxM8fIH+FTgHxDQskpfwF5Oh8JfY1fffwRpfz4fdo5vzfIP/Q0OQj97rFBwFICCHgtJYl8IAABmwrcu3ePOnToQPzzrnTj1t2QkBBpEvYhoFsB/sLHg9UcHR0VdeRliOfMmUP9+vVTnLNIgvBrSljT2kQRL9OyE2ZiyLf9ELmULJmWZrKXKgwwDW/VgCj8ufGMc4/B5PPZBOMxdiCQWwEEvLkVxP0QgIAqBLiP4urVqxX/0POqah07dlRFGVEICOSFwG+//SauKGiuT2+c0P91ypQpNHz4cIsXJeHuXYrq3UaWr+uoKeTdL/PBorHnzlLsp4PS7nX1IP+z/yIHV2GQGzYIWEAAAa8FEJEFBCBge4GiRYsqFppwEVZsunbtGuXLl8/2BUQJIJCHAtevX6c+ffqIv3iYrsjGc/iuXLlS/EXEkkWK3h1C8f+clJaltx8FnPqBhPXG09Iy2AtrKbTyvnxqvMLrW2EwWiVhcBo2CFhAAAGvBRCRBQT0IJAijPB2EFYmM13WUwt1W7hwIS1fvpw4wDVs3LVh2LBhYmuWIQ2fELAngYcPH1Lbtm2JZ2ow3XggG0/fx4M8LbVFLJhLSSHrjdk5NWpHvsFfGo8z2wnv2ZlS7//beJnr2Jnk3auP8Rg7EMiNAALe3OjhXgjoRCD21EmKnSj8xOnsQk4N25BHUD9yLVtOE7Xjn2h5HlIepS7duFXrrvATq1MWW5ek92IfAnoRuHTpkthnlxeiMG3p5UB42bJlYvcHS9Q3atsWSlg805iVc/dB5DMuazNDpApfUMMbVSWK/9+CEkIuLv1HUb6Ro435YQcCuRFAwJsbPdwLAT0I8ECTJjWJIsPktSlcnFy79iLPLt3IUcVdAn755Rdq3bq1IrBt3749ffll1luX5JXHEQT0I3D79m2xH7vp6oNcQw6Cly5dSm3ayPve5qT2ij68BYpSwJFz/JBMs4ta+y0lrFwgu8597nJMOSYTwUFuBBDw5kYP90JABwIxRw5T3DRh+c/0NmFeTMcajci9d19yr1krvatslt6lSxf68ccfZYPVuDVr8+bNVK9ePZuVCw+GgJoELl++TIGBgcSLsJhuPFc1dwvi87nahG4SYfWFPrexkcZs3Cb9k7y6ZJxv7GnhF6YJI4QV2CRLEAsrrwWcvZ7l/r/GB2IHAukIIOBNBwbJELAXgfABvSn1J2FgSVY234Lk0rE7efbsTU4FCmZ6R3J4GMXu3UOOhQqTu7B6kqO3d6b3ZOcCnoqMg1pvSb7cN9HPz08MgrOTF66FgN4FDN0bOMA1t61Zs0ac0szcuaymxezfR3FzPku73NWTvJauIbdq1dPSJHvRITsoPni6sASxJNgVzjt3+4h8xksGwEnuwS4EciKAgDcnargHAnoR4BaZmmWV69pnVj9hOU+H8tXIvVc/8mjSlITmVbN3vBo+mFKunvn7nLs3eX21zqKjrkeOHEmHDx+W9U3kEei7du2i2rWF+UCxQQACMoErV66IszNIvyQaLuBAmLs3cHeg3GzhvbpS6r2baVkI/3/hMngsefcfKE4zlir8Nxp37SrFLV9MqQ9vpV1n2BNWZfPbeZAcfXwMKfiEQK4FEPDmmhAZQEC7AqnCRPThtd7PXQWEnx6dW3UmD6HLg0vx4sa8Ul6/plfNhFYdScuNc88h5PPpeOM1udnhATd16tSh8PBwWTZFihSh8+fPy7o4yC7AAQTsXIC/JPIMJtJZTQwkPMiTuwPVqFHDkJTtz6RnTymihxA0x7yW3ysEvuQpTBEYI3R5SDXfykw++cl3p7AqWxZ+QZJnjiMIZCyAgDdjH5yFgO4FwlrWF+a+fCavZ8G3yLFMeUq5dCobrb8O5FCyLLl270OebdtT9OaNlLBqoSxfSw5C4VbcMWPGkKtkYnruzsDTLPF0S9ggAIH0BY4dO0YDBw4kdzPL98bExFBoaChVqVIl/QwyOZP4++8UGdRJCG4jMrlSclpo2fVZu5Wc33xLkohdCFhGAAGvZRyRCwQ0K5D44AFF9hZaY5LlS/K6jplBnh07U8ze3ZS4cwulPnuY9Tq6CANjkpNkrbskdGkIOP9jut0fsp7531eWK1eOuPuCdKolXlnq559/pkKFCmU3O1wPAbsT+O6772js2LGKBVsYgr9I7tmzh95/P+e/ACWH/UWRkz6jlH9dyNjW2Y1cB/+DvAd8ZLH/f8j4gThrjwIIeO3xraPOEDARiDkUSnEzxgipqWlnHJ3I69sd5PbBh2IaTzkUu2UDJZ8KJUqITbsui3tOrbuR7+x5Wbw648sOHjxIo0aNkk1FxjMztGjRgr755puMb8ZZCEDAKMDLcfOy3I5m+uFHR0fTmTNnchX08oPihf66/P8dKTeu/N2dgf9/RvgC7PDOu+RU8UPyGjSUnALyG8uEHQhYQwABrzVUkScENCgQMWcmJe3fIi+5ly/57jtBTv4BxnTu9xt7+BDF79gsDEzhVZEkQbLxKnM7DuRYswm59+mXq+nNuNsC/xTL/XSlGw+44bRixYpJk7EPAQhkIsCrFC5YsEDWPchwC7f08n9XBQtmPiuL4Z6MPnnAGi8y4ejrm9FlOAcBiwsg4LU4KTKEgEYFhIAxvIewtOfDn2UVcChVgfy37Tb7U2PS0ycUs3UzJR3aRRRtMkBFlovJQTanN5PeHRUVRRUrVpR1ZeDzpUqVEvsdmhuII70f+xCAgFKAV1zjhVpMW3r5CyZ3Gzp69CiVLl1aeSNSIKARAQS8GnlRKCYE8kKA+9y97thMMdDEuVNf8pkizJWZ3ib8oxh77gzFb90o/Gx5Mb2rlOnCqG3H2k3Jb+kK5bl0Uj799FNx2jFnZ2fjFQlCi9Hs2bNpwIABxjTsQAAC2ROYM2cOrV27VtZVyJADt/Rev36dvLy8DEn4hICmBBDwaup1obAQsL5A/I0fKXpoT/mAM3Ig9zlLybNV60wLEN6xJaU+eZDpdcYLnFwo4IfbxsOMdl6+fEnVqlVTtEJxC9QDYfAdNghAIHcCK1asEFdd4+nJpBu39PoI8+Jy/3l0G5LKYF8rAgh4tfKmUE4I5KFA1KYNlLDsc/kTnV0p37ZQcilZUp4uOUp8+JAiu7UQUiT9eoXBKZQYn+70Zg5FSpD/wROSXNLfXb9+PX3+ubxc3Hd34sSJNHTo0PRvxBkIQCDLAuPHjyeewcFc9yBfoe/t6dOnxdUMs5whLoSACgQQ8KrgJaAIEFCjwKsxIynlwlF50QIKk/++4+Tg6SlP/9/R69kzKPnAVtk57437yKVESYres4sSQ7ZS6tNfZeddho6jfIOzFqy2bNmS7t+/L7vfUygL9y988803Zek4gAAEci6waNEi+vrrrxV95bmlN3/+/OJ/c/yJDQJaEUDAq5U3hXJCII8FUoWVzMI7tyJ6/lj2ZMcq9cnvm3WyNPFAmBYsrH5lYQ6i6LRzbxSjgMNn0o6FvYR79/6e3uz0YSJvH/Lfe4wcPDxk15g7uHnzJjVr1kz8WdVwnv/xrVy5stin15CGTwhAwDIC3NK7ZcsWxTy9/N8dr2i4f/9+KlCggGUehlwgYGUBBLxWBkb2ENCyQNKTPygiUAh6E+Nk1XAZNJbyDRsuS4s5cpjipn0iS3MdMenvyeRlqTk7aNCgAf3xxx+yFieeJ5SXSeWgFxsEIGB5gcmTJ9OOHTvMZswLvPCvK9y3FxsE1C6AgFftbwjlg4CNBWLPnqbYz7jLgaRfrjC7gueyDeReq7axdOF9u1PqL/8yHpOjM/mdvEqOFvjH8M6dO9S+fXvixSWkW5kyZejQoUPSJOxDAAIWFuCZUbZv365o6eX+88WLFxf7+xYuXNjCT0V2ELCsAAJey3oiNwjoUiByySJK3LJSXjc3T/LZc5ycCxWmpOf/oYi29YWYOMV4DS8y4bfcMquepdefkEeU8+pq2CAAAesK8KDQ48ePK2ZI4ady94bQ0FAMZLPuK0DuuRRAwJtLQNwOAXsRCO/fi1J/viqrrsNbpchvVyhFfrWEkraukp3zXLaR3GvXkaXl9KCkMDMETz0m3dzd3enixYv4R1aKgn0IWFGgZ8+edOnSJZLOgc2PM0xZxv89Yp5eK74AZJ0rAQS8ueLDzRCwH4GUyEh61UFYlCLipazSTs06UfKVc0SRYWnpPvkp4PQPace52Fu6dCkFBweTm5ubMZdEYXnjHj16iPOFGhOxAwEIWF2gV69eYtBrOk8vP/j//u//xHl6pf+tWr1AeAAEsiiAgDeLULgMAhAQZlgQ+tJG9euU7py6BiOXoOGUb/RYw2GOP+Pi4ogHq/GCE9ItNjaWnj59qmj1lV6DfQhAwDoCzZs3Fxd6Mf3VhVt6/fz86PLly7IvqNYpBXKFQPYEEPBmzwtXQ8DuBaL37qb4uRPSdxAGtPke/p6cCr6R/jVZPHPjxg0KDAwUfzKV3tKhQwdavHixNAn7EIBAHgnwLyydOnWiW7duKfr0ctDLg0l59hRsEFCTAAJeNb0NlAUCGhF4PW0SJR8JMVtah3LVyH/jdrPnsps4YMAAOnfunKIld+PGjVS3bt3sZofrIQABCwq0atWK7t69q/jvk2dTKVGihDhlGbo3WBAcWeVKAAFvrvhwMwTsVED4By28W3tK/f2uAsB97nLybNFSkZ7dhMePH1P16tUVg2B4sBq3LGGDAARsK8Bdi7h7Q3rdi8qVK0cHDhywbSHxdAj8TwABL/4UIACBHAmkvHpFrz/qIwS9d9Lud/emgHPCXLxOTmlpOdwbOXKkOMeuo6OjMYeYmBhas2YNtWnTxpiGHQhAwHYC3L0hKCiIrl69qmjp5XP8pZUXruD/jk37/Nqu1HiyPQog4LXHt446Q8CCArGnTlL8np2U+uR3cg36iLy6dst17q9fvxaXEf7rr79keRUsWJCuXLkiS8MBBCBgWwEObBs2bEh//vmnIqjlxSlq1apF27Zts20h8XS7F0DAa/d/AgCAgPoEeBL7ESNGKOb77N+/P02bNk19BUaJIGDnAgkJCcTz9N68eVMhwQFx48aNacOGDYpzSIBAXgkg4M0raTwHAhDIskC1atWIW3elP4HyP6g8gI0XocAGAQioTyA6Opp4IBv3vzedp5f/++3evTt98cUX6is4SmQXAgh47eI1o5IQ0I7A0aNHafDgweTq6mosNI/6rlOnDm3dutWYhh0IQEB9AvHx8dS2bVt6+PChonDcvYEDYl4SHBsE8loAAW9ei+N5EIBAugL8D2Lfvn3FieulF/FPoty6y1MdYYMABNQt8N///pc6duwozt5g2tLLAXHv3r1pwYIF6q4ESqc7AQS8unulqBAEtCsQFRVFlStXJm7RlW48vdGePXsUfXql12AfAhBQjwB3YeBVEl+8eKEoFC9Owf19586dqziHBAhYSwABr7VkkS8EIJBtgVmzZtHatWvJxcXFeG9SUhJNnTpV7OZgTMQOBCCgegFu6W3SpAnxF1lpf3wuOP9qw6soLlq0SPX1QAH1IYCAVx/vEbWAgOYF4uLixC4Lnp6esrpwa+9vv/2m+AdTdhEOIAABVQqEh4eLUwyGhYUp/hvmLkwff/wxjR8/XpVlR6H0JYCAV1/vE7WBgGYFVq1aRQsXLpT9o8itu59++il98sknmq0XCg4BexeIjIwUuypxgGu68RfaHj160Pz5801P4RgCFhVAwGtRTmQGAQjkVIBHdt++fVt2Oy8jfOHCBQoICJCl4wACENCWwB9//EEtW7Yk/iXHdONAmL/UjhkzxvQUjiFgMQEEvBajREYQgEBOBX7//XdxCVJvb29ZFh9++CHt3r1bloYDCEBAmwI8t3aNGjWIB62ZbhwIc9A7YcIE01M4hoBFBBDwWoQRmUAAArkRaNasGT148IAcHR2N2fAk9rt27aK6desa07ADAQhoW+Du3bvUvHlzcWCqaeDLxzxAdeDAgdquJEqvSgEEvKp8LSgUBOxHgLsxcHcG6cb/8BUtWpS+//57aTL2IQABHQjcv3+f2rdvTzx1mekWERFBX375JfXp08f0FI4hkCsBBLy54sPNEIBAbgWCg4OJB6xJN+7Tt3r1anF0tzQd+xCAgD4Ebt68Se3atZOtqGioGQ9kW7lypbgqmyENnxDIrQAC3twK4n4IQCBXAhUqVKCYmBhZHj4+PnT69Gny9/eXpeMAAhDQj8C1a9coKChInJPXtFbcpWn58uXUtWtX01M4hkCOBBDw5ogNN0EAApYQ2LhxI02ePJl4NgbDxq07rVu3phUrVhiS8AkBCOhU4Pjx4zRs2DDZdISGqnKXh5CQEKpZs6YhCZ8QyLEAAt4c0+FGCEAgNwK80lKtWrWIJ6aXbrwq06+//kqmMzZIr8E+BCCgH4HLly9T3759ydw8vZz29ddfi1+C9VNj1MQWAv8fAAD//6sJQ74AACt/SURBVO3dB5QV1f3A8R/LLm3poAh4MBjlKEZBqhIQYRH+CNKkKUQRGwqEEgsBpSgIiIBiIUpHpUpvIkSKMUgVS0TEFjUqKLCwsCzVP79J3jL3zVvY8trMfOccz5u5M2/m3s/Feb+duSXfb2cXYUEAAQSiLLB582bp2rWrnDlzJvPKejtq2bKlTJgwITONFQQQ8L7A4sWLpV+/fpKQkOAo7MmTJ2XevHlyww03OPaRgEB2BfIR8GaXiuMQQCCcAr169ZKVK1dKvnz5Mk+rP3YzZ86UG2+8MTONFQQQ8IfApk2brD+CQ5U2f/78MnXqVKlfv36o3aQhcEEBAt4LEnEAAgiEW+DAgQNStWpVSU5ONk5dvHhx2bZtm+iPGwsCCPhPYMGCBdK7d28pXLhwyMJPmTJFbr755pD7SETgfAIEvOfTYR8CCEREoE+fPrJkyRIjsM3IyJBnn31WunTpEpFrclIEEHCHwIoVK0TvEaFaXOpboPnz50v16tXdURhyGTcCBLxxUxVkBAF/CBw8eFBSUlLk0KFDRoFLlCghO3bsMNLYQAABfwosXLhQHnzwQdG3PsGLvgF68803pXbt2sG72EYgSwEC3ixp2IEAApEQeOedd+SBBx4wnu7qdTTt8ccfj8QlOScCCLhQ4PXXX5cnnnhCEhMTjdxru/+kpCTrLVGVKlWMfWwgkJUAAW9WMqQjgEBEBLSn9b59+4zOavrqUjuwXXXVVRG5JidFAAF3CsyYMUMGDBggRYoUcRTg1KlTsn79eqlcubJjHwkIBAsQ8AaLsI0AAhET2LBhg3Tq1MnorKbDkmkHNm23x4IAAggECzz//PMyduxYKVCgQPAuKVq0qPXHcsWKFR37SEDALkDAa9dgHQEEIiagT3Hbt28vO3fuNK5x7Ngx0eGILrvsMiOdDQQQQCAgMHToUJk+fbqjKZTu13F6t27dKuXKlQsczicCDgECXgcJCQggEAmB1NRUa3zdEydOGKfXp7vLli0z0thAAAEEggWGDx8ur776asgnvaVKlZKNGzeGbPoQfB62/SlAwOvPeqfUCERdYNy4cfLCCy8YHVD0qa92VNPe2CwIIIDAhQQGDRoks2bNcszIpveSQoUKWW16L7744gudhv0+FCDg9WGlU2QEYiFQoUIFx2Dy6enp8v333xtBcCzyxjURQMAdAhrY9u/fXxYtWhSyeYMOb7h9+3ajU6w7SkYuIy1AwBtpYc6PAALWa8iRI0caP1Da7k6f7OoTGxYEEEAgJwI6XNkbb7xh3FP0+9oJ9qKLLrI6spUtWzYnp+RYjwsQ8Hq8gikeArEWOH36tLRp00Y+++wzIys6ePyHH35ojNhgHMAGAgggcB6Bbt26WU0YQk1FXr58eWtf8Bi+5zkduzwuQMDr8QqmeAjEWuDf//631K9f39HRpE6dOlZbPB1EngUBBBDIjYD2AZg3b56jTa8+6a1UqZI13GFycjJNHHKD67HvEPB6rEIpDgLxJtCxY0fZsmWL8eoxIyNDpk2bJk2bNo237JIfBBBwkYC26b3rrrusp7nB4/Rq0HvttddaAbF2aGPxtwABr7/rn9IjEFGBPXv2SJMmTYxOafoDpUMIaccSFgQQQCAcAj169JA1a9aEPNXll18uy5cvl4IFC4bcT6I/BAh4/VHPlBKBmAiMGDFCpk6dalxbO6tNmjRJmjVrZqSzgQACCORWQO8rd999tzUWb3Bgq/0IatWqJXPnzjXeNOX2WnzPnQIEvO6sN3KNgCsE6tatK7/++quR19KlS8vatWtFhw9iQQABBMIpoE2otm3bFrLNbrVq1WTOnDmO/gThvD7nil8BAt74rRtyhoCrBRYuXCi9evUyxt7VJy233XabvPjii64uG5lHAIH4FDh16pS0atVK/vWvfxlNqTS3ev/RoHfJkiXxmXlyFVEBAt6I8nJyBPwroJ1FdGIJ+3L06FHZsWOH6CQULAgggECkBFq2bGkFvQkJCcYltCNbw4YNZfr06UY6G94XIOD1fh1TQgSiLvCPf/xDdIxM7aAWWHQ9JSXFar8bSOMTAQQQiJTADTfcIPv27XM0bwiM3rB06dJIXZrzxqEAAW8cVgpZQsDtAn379pVly5YZxdAnLbNnz7Y6jxg72EAAAQQiIKDDHzZv3lx0LPDg8b416NWOs3/7298icGVOGY8CBLzxWCvkCQEXC2g7uYoVKzpmUNPpPtevXy+Mh+niyiXrCLhMQN8s6SQ3+/fvdwS9OrJDo0aNZMaMGS4rFdnNjQABb27U+A4CCGQp0L9/f3nrrbckKSkp85jjx4/LoEGD5KGHHspMYwUBBBCIhsDBgwet5lSHDh1yXE4D4tatW8v48eMd+0jwlgABr7fqk9IgEFOB1NRUaxrhY8eOGfnQue6/+OILI40NBBBAIFoCaWlp1syOe/fudTzp1c61OobvqFGjopUdrhMDAQLeGKBzSQS8KvDOO++IzngU3F5On+w+8sgjXi025UIAARcIaAc2HaHhxIkTjtxqm96ePXtyn3LIeCeBgNc7dUlJEIi5gHYC+fLLL418aGc17Q199dVXG+lsIIAAAtEW+Pnnn+X2228X/Qxe9Emvjh2uza9YvCdAwOu9OqVECMREYPv27XLrrbdK0aJFM6+v7eMuu+wyWbduXWYaKwgggEAsBb799lvRcXo1wA1+G6Ud2Z566ilrWMVY5pFrh1+AgDf8ppwRAV8KtGvXTnbu3Gn8gGi7OQ12r7nmGl+aUGgEEIhPAW3Lq2+k9B4VvOhsbdq84bHHHgvexbaLBQh4XVx5ZB2BeBHQ14NNmjSR4M5qVapUkVWrVsVLNskHAgggkCnwySefSKdOnUTH6w1+0qsjywwfPpwnvZla7l8h4HV/HVICBGIuMHHiRBk9erToaAz2RdvCde/e3Z7EOgIIIBA3Ar/88ovcdNNNITuyaZOsRx99lOEU46a28pYRAt68+fFtBBA4K3DFFVcY0wgrij4h+fTTT6VkyZIYIYAAAnEr8NFHH1lj8WoH2+Anvdq84YknnpD7778/bvNPxrInQMCbPSeOQgCBLASmTJkiw4YNMyaa0I4fnTt3lmeffTaLb5GMAAIIxI+Aji6jHdn03hW86OyRei/r2LFj8C62XSRAwOuiyiKrCMSbgP446CxFu3fvNrKmY1pq+zj7iA3GAWwggAACcSbw8ccfyy233BLyvqX3tKFDh1oTVMRZtslONgUIeLMJxWEIIOAU0OF9dC56fRVoXxo0aCDTpk1zvB60H8M6AgggEG8Cmzdvli5dujiaaGk+9Unvyy+/LC1atIi3bJOfbAgQ8GYDiUMQQCC0wH333Sdr1641Oqtpmzf9UdDXgywIIICA2wR0THENapOTkx1Z15Fo3njjDWncuLFjHwnxLUDAG9/1Q+4QiFuBH374QWrVqmX8KGiv5mLFiol2AmFBAAEE3Crw7rvvWkOSFShQIOTT3tdff13q1avn1uL5Mt8EvL6sdgqNQN4FtKPajBkzjGYL2qb3hRdekLZt2+b9ApwBAQQQiKHAkiVLpE+fPsYbrEB2Dh8+LKtXr5YaNWoEkviMcwEC3jivILKHQDwK6JNcbaf7008/GdkrXbq0rF+/3njqaxzABgIIIOAigYULF0rfvn2NUWgC2ddxxxcvXixVq1YNJPEZxwIEvHFcOWQNgXgV2LBhgzXsWJEiRTKzqEGwttudMGFCZhorCCCAgNsFZs6caY3QEDxGr5ZL2/QuW7ZMatas6fZiej7/BLyer2IKiED4BapVq2bNQW//AUhPT5eNGzfKlVdeGf4LckYEEEAghgKTJ0+WESNGOEak0Szpk169911yySUxzCGXvpAAAe+FhNiPAAKGwHvvvSd33XWXcePXMSrr1q0rc+bMMY5lAwEEEPCKgHZU01nXEhMTjSLp2y1Nmz9/vujDAJb4FCDgjc96IVcIxK1A//79RTtz2BcNePW13h/+8Ad7MusIIICApwR0xrVXXnklZEe2ggULio7uwJPe+KxyAt74rBdyhUBcCuiTjMqVKztu9nqD1/F4CxcuHJf5JlMIIIBAuAR0dJrBgweHfNKrY/cuWrRIrrjiinBdjvOESYCAN0yQnAYBPwgMGTJEpk6dKjo2ZWA5ceKE/PnPf5ZHH300kMQnAggg4GmBUaNGWR10Q/2RX7JkSest2KWXXuppA7cVjoDXbTVGfhGIkUBaWprUrl1bdKxd+6K9lH/88Ud7EusIIICA5wW0acNzzz1njEUeKLQ+6V2zZo2UK1cukMRnjAUIeGNcAVweAbcIaBvdfv36GbMOadvdHj16yOOPP+6WYpBPBBBAIGwCOnKDDsVYtGhR45za/EuD3RUrVoiOT84SewEC3tjXATlAwBUC7dq1c0wZnJSUZHVWYygyV1QhmUQAgQgIDB06VHSsXvswjYHLlChRwnrSW6ZMmUASnzESIOCNETyXRcBNArt27ZJGjRoZM6jpEwxto6bjT7IggAACfhbQfgw6K5uO1GBf9D6pQe+mTZukUKFC9l2sR1mAgDfK4FwOATcKtG/fXrZv326MvattenVazXr16rmxSOQZAQQQCKtA7969rTdeOhFF8FKxYkVZuXKlo+lD8HFsR06AgDdytpwZAU8IfPfdd3LrrbdaU2jaC3TZZZdZY07a01hHAAEE/CzQqVMn2bx5s2PoRn3SW7x4cdmxY4fx4MDPVtEuOwFvtMW5HgIuE5gyZYoMHz7ccZPWIcp0xjUWBBBAAIFzAt27d7ceBgQ/6dWgt0qVKvL222+fO5i1qAkQ8EaNmgsh4E6Ba665RjIyMozMM3e8wcEGAgggYAi0adPG6uSbkJBgpJ8+fVr07ZhO1KOdflmiJ0DAGz1rroSA6wTefPNNeeyxx4zOFqdOnZIWLVpY02u6rkBkGAEEEIiCgI5Xfuedd1p9H4JHb9Anvddee61jivYoZMvXlyDg9XX1U3gEshbQwLZZs2by7bffGgfpjfyjjz6SUqVKGelsIIAAAgiYAp07d5YPPvjA0aZX76M1a9aUuXPnGjNXmt9mK5wCBLzh1ORcCHhI4JtvvpFbbrnFmGhCi9ewYUNremEPFZWiIIAAAhER0KnX9Y3YV199FXKc3gYNGsj06dMjcm1OagoQ8JoebCGAwP8E+vbtaw07Zu94oa/idFahli1b4oQAAgggkA0BfZrbpUsX2bp1q6PzrwbEN998sxX02u+12Tgth+RQgIA3h2AcjoAfBHSM3cqVK1sDptvLm5iYKLt377YnsY4AAgggcAGB9PR060HB119/7WjeoFO0t23bVsaNG3eBs7A7LwIEvHnR47sIeFRg4MCBMnv2bONpxPHjx2XUqFHStWtXj5aaYiGAAAKRE9B+Ec2bNxcNeoMXHb3hpptukhkzZoRs+hB8PNs5FyDgzbkZ30DA0wL6ii0lJUV+/PFHo5xFixaVnTt3cjM2VNhAAAEEsi9w4MABue222+Q///mP40mvBsQ6ssPIkSOzf0KOzLYAAW+2qTgQAX8IaI9inUo4eE74Vq1ayfjx4/2BQCkRQACBCArceOONsm/fPscVtJ+Ezmz54osv8nDBoZO3BALevPnxbQQ8J3DDDTdYN2L72JHHjh2T1atXW2NHeq7AFAgBBBCIssAvv/wijRs3liNHjhhNxzQb2ryhQ4cOMmbMmCjnytuXI+D1dv1SOgRyJPD+++/LHXfcYcwApB0qrrzySnnnnXdydC4ORgABBBDIWkBnsNRhHjX4tT9g0G9o84Zu3brJsGHDsj4Be3IkQMCbIy4ORsDbAr1795aVK1cahdQ2vTr3u04xzIIAAgggED4BbdNbu3Zta7zz4KBXn/R26tRJRo8eHb4L+vhMBLw+rnyKjoBdQMeKrFatmuhoDPalUqVKVsAb3KbXfgzrCCCAAAK5E9AnvE2bNpXDhw87TqD3ZR0TvX///o59JORMgIA3Z14cjYBnBV544QV57rnnjGku9bXaQw89JAMGDPBsuSkYAgggEGuBvXv3Sp06dUTHOg9etOnDo48+agW+wfvYzr4AAW/2rTgSAc8K6A31uuuuszpL2Aupg6V///33IW/C9uNYRwABBBDIm4COz6vj9GpTBh2twb5o2qBBg+T++++3J7OeAwEC3hxgcSgCXhVYuHCh9QTBXj7trKadJoYMGWJPZh0BBBBAIEICOpOlDgGpb9eCl0OHDom+idNpillyLkDAm3MzvoGA5wR0ZIYtW7YY5SpQoIDVgU2nGGZBAAEEEIiOwKeffipt2rRxPOUNXF2bnulUxCw5EyDgzZkXRyPgOQGd8adWrVpSpEgRo2xXXHGFrFq1yjFGpHEQGwgggAACYRfYtGmT9YYt1JPetLQ0a2IKHcGBJfsCBLzZt+JIBDwp0LlzZ9HZ1fLnz59ZPp1oYtKkSdKiRYvMNFYQQAABBKInoOOia7MybV4WvGjazJkzpUGDBsG72M5CgIA3CxiSEfCDgHZIS0lJcXRWu+iii6wg2A8GlBEBBBCIV4Ht27dLx44dQ2ZPn/6OHTvWmgo+5AEkGgIEvAYHGwj4S2DKlCnyzDPPGIXW3sFPP/00HSMMFTYQQACB2AjoxD89e/YMeXF90jtnzhypW7duyP0knhMg4D1nwRoCvhOoXr26aHsw+1KoUCFZs2aNVKhQwZ7MOgIIIIBAjAR27Ngh7dq1M5qeBbKiM7S9/PLL0qxZs0ASnyEECHhDoJCEgB8EFi9ebE0qYe+spmM91q9fX9544w0/EFBGBBBAwDUCes9++OGHpXDhwo48ax+M6dOnS7169Rz7SPivAAEv/xIQ8KmA3hh1dh/7cuTIEfn888+lVKlS9mTWEUAAAQTiQGD9+vXSvXt30ae6wQvNG4JFzG0CXtODLQR8IfDFF19Iy5YtHZ3V9OnujBkzfGFAIRFAAAE3CixYsEAefPBBKVGihCP7SUlJMnv2bLn++usd+/yeQMDr938BlN+XAgMHDrRuigkJCUb5X3zxRbn11luNNDYQQAABBOJLYN68eTJgwADHk1598qujN6xYsUKuueaa+Mp0jHNDwBvjCuDyCERb4MSJE1KpUiVJTk52XHrPnj1MNOFQIQEBBBCIPwEdZWfQoEEh7+U62o42f9B7Pct/BQh4+ZeAgM8EhgwZYnVuSExMzCx5RkaGdePUDhEsCCCAAALuEHjppZdEpxq2TxwUyLlOD6+zZf7ud78LJPn6k4DX19VP4f0mcPToUWvomp9++skout4Yd+3aZaSxgQACCCAQ/wI6bvrkyZPF/hAjkGtt3qBDmpUpUyaQ5NtPAl7fVj0F96PA5s2bRedfD34a0L59exk9erQfSSgzAggg4HoBnXFN+2AE39u1aUPJkiXl73//u+9H3yHgdf0/cwqAQPYFtEOaDjtmH9Lm5MmTsmjRIqlZs2b2T8SRCCCAAAJxJaCd2HTWtVBBb8GCBWXjxo2i08b7dSHg9WvNU27fCeic7K1atRKdSS2w6LiN2qlhw4YNgSQ+EUAAAQRcKqB9NGbOnBmy83HZsmXl/fffD9n0waXFzVG2CXhzxMXBCLhTQF9r9ejRQ9auXWsUQDurLVu2TGrUqGGks4EAAggg4E6BJ554wgp6dUxe+6IzaZYrV86651988cX2Xb5YJ+D1RTVTSL8LaGe1P/7xj5KWlmZQaO/d1atX+/YvfgODDQQQQMAjAr169ZKVK1cazdcCRStfvrw1ZFmoTm6BY7z4ScDrxVqlTAgECUybNk0GDx4sOhpDYNHmDPrU9/HHHw8k8YkAAggg4BGB8z3prVixojU5hXZo88tCwOuXmqacvhaoXLmyo02XNmf45JNPpHTp0r62ofAIIICAVwW6d+9uNWULbt6g5a1atarMnz/f6NfhVQctFwGvl2uXsiFwVkBvaI899pgR8Gpbrg4dOsiYMWMwQgABBBDwsEDv3r1l+fLlxm+AFlf7dlSoUMEKiO2dmb1KQcDr1ZqlXAj8T+DOO+8UHX/XvuiwNevWrRN9rcWCAAIIIOBdAX3Acffdd1vtdnV4MvuiQa92Wp43b54jILYf54V1Al4v1CJlQCALgcOHD8tVV10lhQsXNo7QV1k69q7fOi0YCGwggAACPhLQSYe2bdvmKLEGvb///e+tp8DBAbHjYBcnEPC6uPLIOgIXEujWrZv1JNce2B4/flx0Vh69+bEggAACCPhDQCcZatOmjXz66aeOhx3aibl69erWgxCvahDwerVmKZfvBX788UepV6+eY9Yd/Qv+s88+870PAAgggIAfBXQCIg167TNuqoMGvXXq1JFZs2Y5fje84ETA64VapAwIhBCYNGmSjBo1ytijbblGjx7N011DhQ0EEEDAPwL6O6APQ/bt2+dot6tBr7bpXbBggedACHg9V6UUCIH/CjRo0ED0Ka99SU5OljVr1liz7djTWUcAAQQQ8I+ABr0tW7aU3bt3O570njp1Sm655RaZPHmyp0AIeD1VnRQGgf8KvPvuu9KlSxcpUqRIJkngddXcuXMz01hBAAEEEPCngLbp1SYMhw4dChn0NmrUSKZPn+4ZHAJez1QlBUHgnED9+vWtp7v2Nlqpqany4YcfSqVKlc4dyBoCCCCAgG8FdCSfFi1aON4GKog+BW7btq2MHz/eEz4EvJ6oRgqBwDmBjz/+2JpUQl9L2ZdatWoJT3ftIqwjgAACCGjQ27RpU9m7d6+jTW96errce++9Mnz4cNdDEfC6vgopAAKmwNChQ2XmzJmOV1SvvfaapKSkmAezhQACCCDge4H9+/dbQa++CQy16BTFgwYNCrXLNWkEvK6pKjKKQPYEKleu7PgrXYci27p1q2inNRYEEEAAAQSCBXTUhtatW1tPeu3N4fS4o0ePysMPPyyDBw8O/pprtgl4XVNVZBSBCwuMHDlSXnnlFSlQoEDmwSdOnJCePXvKgAEDMtNYQQABBBBAIFjg559/lubNm4fsyKYzsunvyAMPPBD8NVdsE/C6oprIJAIXFjhy5Ig0btxY9NWUfdGb1FdffeVo4mA/hnUEEEAAAQRUQNvy6rBk+lQ3eNGRHe677z5XPukl4A2uTbYRcKnABx98IHfeeacjsO3YsaPok18WBBBAAAEEsiPw5ZdfWtMQa6e14OYNOnrDU089JXfddVd2ThU3xxDwxk1VkBEE8ibQoUMH2b59u+PmNHv2bGusxbydnW8jgAACCPhJQN8W6oxswSP+qIGO696rVy/5y1/+4hoSAl7XVBUZRSBrgT179lg3puLFi2cepE0ZLrnkEvnnP/+ZmcYKAggggAAC2RX45JNPpFWrVo6O0Pp9DXqffPJJ0REc3LAQ8LqhlsgjAhcQuOeee2TDhg3G092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