{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-04-16T00:12:35.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2026-04-16T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":59007,"title":"Compute head profiles for steady 1D flow through soils in series","description":"Cody Problem 58966 involves compute the head profile for steady, one-dimensional flow in a homogeneous aquifer (i.e., one with uniform hydraulic conductivity), and Cody Problem 52070 involves computing the effective conductivity of simple heterogeneous aquifers (i.e., those with multiple soil units either all in parallel or all in series). This problem asks solvers to combine the ideas from the two problems for soil units in series.\r\nWrite a function to compute the head  at specified points  for steady 1D flow through soils in series. Other input to the function is the locations of the boundaries of the soil units, their hydraulic conductivities, the heads at  and , and a Boolean variable that is true for confined aquifers and false for unconfined aquifers.","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: 156px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 78px; transform-origin: 407px 78px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58966-compute-the-head-for-steady-1d-flow-in-a-homogeneous-aquifer\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 58966\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 308.35px 8px; transform-origin: 308.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e involves compute the head profile for steady, one-dimensional flow in a homogeneous aquifer (i.e., one with uniform hydraulic conductivity), and \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/52070-compute-the-effective-conductivity-of-a-heterogeneous-aquifer?s_tid=ta_cody_results\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 52070\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 171.408px 8px; transform-origin: 171.408px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e involves computing the effective conductivity of simple heterogeneous aquifers (i.e., those with multiple soil units either all in parallel or all in series). This problem asks solvers to combine the ideas from the two problems for soil units in series.\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: 116.167px 8px; transform-origin: 116.167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the head \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);\"\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; perspective-origin: 59.9px 8px; transform-origin: 59.9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at specified points \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-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 187.467px 8px; transform-origin: 187.467px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for steady 1D flow through soils in series. Other input to the function is the locations of the boundaries of the soil units, their hydraulic conductivities, the heads at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" alt=\"x = 0\" style=\"width: 36.5px; 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; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 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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\" width=\"39\" height=\"18\" alt=\"x = L\" style=\"width: 39px; 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; perspective-origin: 17.5px 8px; transform-origin: 17.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and a Boolean variable that is true for confined aquifers and false for unconfined aquifers.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function h = flowInSeries(x,xb,K,h0,hL,isconfined)\r\n  h = interp1(xb,linspace(h0,hL,length(xb)),x);\r\nend","test_suite":"%%\r\nx = 0:100:900;                              %  Positions where head is requested (m)\r\nxb = [0 600 900];                           %  Locations of boundaries of soil units (m)\r\nK = [3e-6 1e-4];                            %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 10;                                    %  Head at x = 0 (m)\r\nhL = 9;                                     %  Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [10 9.8358 9.6716 9.5074 9.3432 9.179 9.0148 9.0099 9.0049 9];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:50:700;                               %  Positions where head is requested (m)\r\nxb = [0 450 700];                           %  Locations of boundaries of soil units (m)\r\nK = [2 0.3];                                %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 25;                                    %  Head at x = 0 (m)\r\nhL = 22;                                    %  Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [25 24.9333 24.8664 24.7994 24.7321 24.6647 24.5971 24.5293 24.4613 24.3931 23.9336 23.4652 22.9872 22.499 22];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 300:300:1200;                           %  Positions where head is requested (m)\r\nxb = [0 1500];                              %  Locations of boundaries of soil units (m)\r\nK = 100*rand;                               %  Hydraulic conductivities of soil units (m/d)\r\nh0 = 13;                                    %  Head at x = 0 (m)\r\nhL = 12;                                    %  Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [12.8 12.6 12.4 12.2];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 100:100:1400;                           %  Positions where head is requested (m)\r\nxb = [0 1500];                              %  Locations of boundaries of soil units (m)\r\nK = 50*rand;                                %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 21;                                    %  Head at x = 0 (m)\r\nhL = 19;                                    %  Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [20.8726 20.7445 20.6155 20.4858 20.3552 20.2237 20.0915 19.9583 19.8242 19.6893 19.5533 19.4165 19.2787 19.1398];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000;                             %  Positions where head is requested (m)\r\nxb = [0 1000 3000 6000];                    %  Locations of boundaries of soil units (m)\r\nK = [1 0.2 30];                             %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 38;                                    %  Head at x = 0 (m)\r\nhL = 32;                                    %  Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.8649 37.7297 37.5946 37.4595 36.7838 36.1081 35.4324 34.7568 34.0811 33.4054 32.7297 32.0541 32.0495 32.045 32.0405 32.036 32.0315 32.027 32.0225 32.018 32.0135 32.009 32.0045 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000;                             %  Positions where head is requested (m)\r\nxb = [0 1000 3000 6000];                    %  Locations of boundaries of soil units (m)\r\nK = [0.2 30 1];                             %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 38;                                    %  Head at x = 0 (m)\r\nhL = 32;                                    %  Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.0702 36.1405 35.2107 34.281 34.2748 34.2686 34.2624 34.2562 34.25 34.2438 34.2376 34.2314 34.0455 33.8595 33.6736 33.4876 33.3017 33.1157 32.9298 32.7438 32.5579 32.3719 32.186 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000;                             %  Positions where head is requested (m)\r\nxb = [0 1000 3000 6000];                    %  Locations of boundaries of soil units (m)\r\nK = [30 1 0.2];                             %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 38;                                    %  Head at x = 0 (m)\r\nhL = 32;                                    %  Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.9971 37.9941 37.9912 37.9883 37.9002 37.8121 37.7241 37.636 37.5479 37.4599 37.3718 37.2838 36.8434 36.4031 35.9628 35.5225 35.0822 34.6419 34.2016 33.7613 33.3209 32.8806 32.4403 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000;                             %  Positions where head is requested (m)\r\nxb = [0 1000 3000 6000];                    %  Locations of boundaries of soil units (m)\r\nK = [1 0.2 30];                             %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 38;                                    %  Head at x = 0 (m)\r\nhL = 32;                                    %  Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.8753 37.7502 37.6247 37.4988 36.8628 36.2156 35.5566 34.8851 34.2005 33.5019 32.7884 32.0591 32.0541 32.0492 32.0443 32.0394 32.0345 32.0295 32.0246 32.0197 32.0148 32.0099 32.0049 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000;                             %  Positions where head is requested (m)\r\nxb = [0 1000 3000 6000];                    %  Locations of boundaries of soil units (m)\r\nK = [0.2 30 1];                             %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 38;                                    %  Head at x = 0 (m)\r\nhL = 32;                                    %  Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.1338 36.2469 35.3377 34.4045 34.3982 34.3919 34.3856 34.3793 34.373 34.3666 34.3603 34.354 34.164 33.973 33.7809 33.5877 33.3933 33.1979 33.0013 32.8034 32.6044 32.4042 32.2027 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000;                             %  Positions where head is requested (m)\r\nxb = [0 1000 3000 6000];                    %  Locations of boundaries of soil units (m)\r\nK = [30 1 0.2];                             %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 38;                                    %  Head at x = 0 (m)\r\nhL = 32;                                    %  Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.9973 37.9946 37.9919 37.9892 37.908 37.8266 37.745 37.6633 37.5813 37.4992 37.4169 37.3345 36.9194 36.4996 36.0749 35.6451 35.2101 34.7697 34.3236 33.8716 33.4136 32.9491 32.478 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 300:300:1200;                               %  Positions where head is requested (m)\r\nxb = [0 unique(100*randi(14,1,randi(6))) 1500]; %  Locations of boundaries of soil units (m)\r\nK0 = 100*rand;                                  %  Hydraulic conductivity of soil units (m/d)\r\nK = repelem(K0,length(xb)-1);                   %  Hydraulic conductivities of soil units (m/d)\r\nh0 = 13;                                        %  Head at x = 0 (m)\r\nhL = 12;                                        %  Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [12.8 12.6 12.4 12.2];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nxi = unique(100*randi(14,1,randi(6)));          %  Locations of interfaces of soil units\r\nxb = [0 xi 1500];                               %  Locations of boundaries of soil units (m)\r\nK = 100*rand(1,length(xb)-1);                   %  Hydraulic conductivity of soil units (m/d)\r\nh0 = 30*rand;                                   %  Head at x = 0 (m)\r\nhL = 25*rand;                                   %  Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(xb,xb,K,h0,hL,isconfined);\r\nassert(all(diff(K.*diff(h)./diff(xb))\u003c1e-12))\r\n\r\n%%\r\nxi = unique(100*randi(14,1,randi(6)));          %  Locations of interfaces of soil units\r\nxb = [0 xi 1500];                               %  Locations of boundaries of soil units (m)\r\nK = 100*rand(1,length(xb)-1);                   %  Hydraulic conductivity of soil units (m/d)\r\nh0 = 30*rand;                                   %  Head at x = 0 (m)\r\nhL = 25*rand;                                   %  Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(xb,xb,K,h0,hL,isconfined);\r\nassert(all(diff(K.*diff(h.^2)./diff(xb))\u003c1e-12))\r\n\r\n%%\r\nfiletext = fileread('flowInSeries.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":46909,"edited_by":46909,"edited_at":"2023-09-24T14:39:22.000Z","deleted_by":null,"deleted_at":null,"solvers_count":2,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-09-24T14:38:53.000Z","updated_at":"2026-02-12T13:44:49.000Z","published_at":"2023-09-24T14:39:24.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58966-compute-the-head-for-steady-1d-flow-in-a-homogeneous-aquifer\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 58966\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e involves compute the head profile for steady, one-dimensional flow in a homogeneous aquifer (i.e., one with uniform hydraulic conductivity), and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/52070-compute-the-effective-conductivity-of-a-heterogeneous-aquifer?s_tid=ta_cody_results\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 52070\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e involves computing the effective conductivity of simple heterogeneous aquifers (i.e., those with multiple soil units either all in parallel or all in series). This problem asks solvers to combine the ideas from the two problems for soil units in series.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to compute the head \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h\\\"/\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 at specified 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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x\\\"/\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 for steady 1D flow through soils in series. Other input to the function is the locations of the boundaries of the soil units, their hydraulic conductivities, the heads 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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = 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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and a Boolean variable that is true for confined aquifers and false for unconfined aquifers.\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":55825,"title":"Measure the hydraulic conductivity with a constant-head permeameter","description":"A constant-head permeameter is a device for measuring the hydraulic conductivity  of a soil sample. In this problem the sample is placed in a cylinder of length  and cross-sectional area . By supplying a flow  to a standpipe, water is maintained at a constant level so that the head difference , or the difference in water levels between the standpipe and outlet, is constant. \r\nThe hydraulic conductivity can then be determined from Darcy’s law\r\n\r\nwhere the head gradient  is simply . Darcy’s law applies when a Reynolds number based on the specific discharge  and representative diameter  of the soil grains is less than (approximately) 1—that is, \r\n\r\nwhere  is the kinematic viscosity of the fluid.\r\nThe Kozeny-Carman equation provides one way to relate the hydraulic conductivity to the representative grain diameter:\r\n\r\nwhere  is the acceleration of gravity and  is the porosity of the soil \r\nWrite a function that takes as input the flowrate, the head difference, porosity, and length and diameter of the cylinder holding the soil sample and returns the hydraulic conductivity and a flag indicating whether Darcy’s law is valid. Compute the conductivity using Darcy’s law regardless of its validity, and use  and .\r\n\r\n                              ","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: 838.4px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 419.2px; transform-origin: 407px 419.2px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 256.342px 8px; transform-origin: 256.342px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA constant-head permeameter is a device for measuring the hydraulic conductivity \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);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 113.958px 8px; transform-origin: 113.958px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of a soil sample. In this problem the sample is placed in a cylinder of length \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);\"\u003eL\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 80.1333px 8px; transform-origin: 80.1333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and cross-sectional area \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: 65.7333px 8px; transform-origin: 65.7333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. By supplying a flow \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);\"\u003eQ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 75.8417px 8px; transform-origin: 75.8417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to a standpipe, water is maintained at a constant level so that the head difference \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Deltah\" style=\"width: 21.5px; height: 18px;\" width=\"21.5\" 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: 188.533px 8px; transform-origin: 188.533px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, or the difference in water levels between the standpipe and outlet, is constant. \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: 209.533px 8px; transform-origin: 209.533px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe hydraulic conductivity can then be determined from Darcy’s law\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKoAAABGCAYAAABc8A97AAAKX0lEQVR4Xu2d2Qu+QxTHf/4AfrY7kixFiOwJRVmilBBu5EL2lOxLubBzoWSPG9lTpOxFIdmjlAtLkku7P4Dz0XM4vzHzzMz7Pss8v9956vS+7/PMM8uZ75w5y8y8W23wyzmwAA5stYA6ehWdAxscqA6CRXDAgbqIbvJKOlAdA4vggAN1Ed3klXSgbnkYOFKavLPQRqGHg+bvIL/3FjpC6DGhn1thjwO1lZ4Ytx6A81KhM00xu8v377rfV8vnGUIHd79/lc/tx61SXe4O1Dp+LT31a9KAE4S+FdojIk1/6u49K59ntdRYB2pLvTF+XT7upOaD8nlxUNz+8vvz7t7Z8vnM+NUpL8GBWs6rpadE/1SJebJ8fyVo0AXy+6HunlULmmi3A7WJbpikEkzlT3cl7SifoaGkasEn8uyQSWpUUYgDtYJZC0/6gNT/IqEUEP/q2nebfN7QWlsdqK31yHD1UVfTn5LlF0K/CG0ndI3QXUExeAXe7e4dJZ/vmeforlsLfRWRwsPVNpOTA3UyVk9WEKC7UehQoTuEcDu9IXR9AojcvtU8V0wA0EeF1GWFJD5xLrA6UCfDzyQF6fRurXprRFGJWJ+rN+D1Doyqz2L97yJ0Z1f7mBE2ScMcqJOwefRCACPGENIv5gNV/TP2zAL5Qnn/d6FbhA7rpKf1Bhwg91AjJr8cqJOzfJQCVZLmHPkAMQybniT3Xu5qhQQlrz3NFK/egJQ0HqVBYabrAHU3yWwvoX1Npkwds4y4SbhVXwihyb5L+YVeSXw9dn0pN0Ofp01n3U6hIUQ6C8SYf9SCnNDpTUF5Ko1VLajnQvoN6sbV175/EqwCVBhzhRDTDJV/qyvsWPnU8NxlJYUP2eKG88IoeVsIi1uvmOVtp2/SYbwQm9d4fKyJvPN1l3cq7KmGUkzakuc3QgCYK3RNWW9ATBqvw3atO/XK+m1rgGqtwBQT7egeumHrMGXud+30GQtfUj8L6FJfpuV3KuypbqlYucyKAIUrthCFGUENqaH1UzuAVB9O9lMpUGEIUwRSIbdgQTuFhh8j5KrAfz5MOiI2PStIeU4MvjTObgdALNpkgZwLm8YES98ilnUGv11XQD7ZkG0JUG1jGX059Nv0OVCv09ilvGunTwavNVRoA3raE0JIvuOF+qb6sM0qLWPRJqsW8F4MyAwIXfoXw4LqpzFVZR3+2wFGPlm3Vw6ooX4VkwZhhXMds04Dl/iunT5Dg0SfMaAvEapdqKxAigHVglCf05/XCekSPgV6TKDYfmTa/1EIgK3r9NfZ+SPJC5uGKzsQ+oDKiPxQSBXtlG7VB1SelYB7iQAsrbM6022HoBsCDgzSdXR5zduqWfTb/UKAEFCgrqHzPieEUacSPbesTweRGmEA/0WhUrUkxh/F1CPdQ9V/s9jqA6qVBOSb1SO6wu1I5FZWrJf2+ALThVEhJNNOQjrVnyvfbVy9tolWzQKsSClCp4AJXVclLs8A7mlCajPY/o31rZ2ekciEU0MfbG19KfNaIXYPWJxkV2ylgBrqNzW6ZgjwUmuxz5dYw5DnJXGNnleTd21a68MELEgOYu5Dxs0p4xyhbbt2P2XAT1TpVKEXhOCLVS2wug8S+lQotlqKfHEz/iZ0n8mzlgeaXj0MKrhCj0Oou29STgqoNmzGCzVS0epGvBtT4mONDQG+KkNKB8aq+de8Zxd72PeyOllNIQtJCy6Q3NZnqhKfJvTO2CmgWrEfs1T7eKMKOmmyIt1kNJREbWn3pHWmwwu7eY7vrUj+sbGu03woRCzOeoVhCqgW6TXTfugfW4LkyIU5SzoxXN/JO3ZqU4mBL1ot3VKnfkn5radhwDJQww2DGr6l/r1YiQF1HbDZgpHES5AadlCu0uGprcWh/5ldn6Gh2ZKaskrbS95RNZKBycose2nYnXu9ln8MqKta7aEBthSJsa5Ehfkxa9jq6rYT7P2a2aoEFK2lUUywcPuzSOV2lXtsj+HqVRNLJGqpIWWNoVq9looOpaO2YvVbXd3G4UOVoJS/rYGwpD7MsMwsqcMsii3/Eh21hJEUyIjAuQxITxGq9Q9uTlZ/qD6Fng/rDagxOENw4F6a+sKdVXIpD3IBjSLLPwVUOz2VGEQ2+pKrWKqRQ0nUFqx+O+hK4vCr8Iz9UPTN1BcOe40o9ZWNRU/wIXc0kMVOUiimgFoTNVADCklas/JnagZPWZ51u6R0dQvmksU+sfqfP2WjurI0/NlXtAY6Sgag5VVSKPaFUO30FCuQ6V7dLUiN84R8Sd+GDWHYNCUlwnRLMT5zY8OuESkJ9hQZl7nVU7gWbhfSdahque0q97DWkAR3C60bA841finP6aSbO95onVNul9C7QvoSCdQyL+xiG+qZW5BEejwCuvApad/kgEphMP84IY6D0a0nuGQ+cAm6CWZg+uk9KFJvRC4dWbTiuagdFDFX3w+SSWzFVZ9b8H/vlABV16TibsktmrYNQ3XAsNlSwoS1nTp3egQQV+0a2FnqnQOqrj5n6kcPZapn+gfxbyYaqeIfay482nCWRnqh/3IAdWMbIXYOExWifxYhSEqNqVRfA1x0jO+7BBoS21wMg80J4zje9xPSo33W8d9OzpcYUJkSnhRiHeLjQn90tWLfuT0+O1ZZGn+5UK2zf/KGb8EFNn1qX6pfclN/7D09JW4febixS8AhCWxbWYS+swWD1IYscxZ5U2xaBahNNcArU8UBXdG1ylqMqoKGTuxAHZqjbeenzvUxjucZteUO1FHZ21zmfYf5NldZWyEHatPds1bl0EdZFML5ptgQGMV6qnRswTb+8sM7uyN2IjXG9PtCsxjKDtS1sNDkywD0SiH0UcK3rwrd09WUHRfhjgQiRAcKEcbUPV02lGt3bQy5e7aKeQ7UKnY1nxiH/ktdLe25X3ZdQWpXgd2hoTosIMY3fq8QW7IJ9sT2h43OGAfq6CyerABdWhdb2GGB2vdnZ2psEchhTz8ArQmbj9ZYB+porJ00Y3tGWGxNp91o2Ld/3p7nAFjtySqTNigszIE6K/sHK1wXH6fCoqpn5sKmdgtN9jyowWpfkJEDtYBJjScpOcxXD8IoWYOhLqyStJOxxoE6GatHK8genBw7v8mef5ULm1oVInWU+mgN6cvYgToL2wctNPdnEDkga2X0PwT4rW6q0hMcB21QLDMH6ugsHrUAa83HpmprHKnLKbVgGj2WHaNsPWru79AdqKPiaPTM+4DKNG7/IlK9AQDyHSG7PQQ9lz9B49ghrvAPKjSv7L+XjNViB+pYnJ0uXwWVPXUaSXqVEFubdQ8+/tOju2qxGZP7rO7/Xoi9+vacMOtP5X9VAfGsrioH6nSAGquk8CxbylEfKN91Gue7qgfh8UvhyTbhSdarnHwzaHsdqIOyc7bMmJr1OMvwn/4AHQvc2eOm+6PQU9kxy/3UjlfeY0FLEztiHaizYcsLruGAA7WGW552Ng44UGdjvRdcwwEHag23PO1sHHCgzsZ6L7iGAw7UGm552tk44ECdjfVecA0HHKg13PK0s3HAgTob673gGg78DSeNUWXas1MFAAAAAElFTkSuQmCC\" alt=\"Q = -K(dh/dx)A\" style=\"width: 85px; height: 35px;\" width=\"85\" height=\"35\"\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: 77.4167px 8px; transform-origin: 77.4167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere the head gradient \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAE8AAAAlCAYAAAADW7S6AAAEqklEQVRoQ+2aS6tOURjHnQ+AXEaGLgMDUZiIgYnrSBHKjHJJBsrdzC0yMnApykDuUkIYMGAiBpQyQT6AW3wA/j+t5/ScZe29197rvHlPvbv+nd3aez3ref7rWc9lv2do3ODqzMBQ55mDieMG5BU4wVgl76xsPi18KrC9eOpYJG+urH4jzBiQ137/jwXiNrSfOrozRsPzpkulacJOIWUQnjJb+Ck8HAX1P0jGYeF6gawmnbNEl5CHB6wPXsBi54QdYdXF+rtSOOi02Kb7C1laVb+0So8eCFOFrx1k1encWlwJeSwGSc/DqhsT3oCyRuA83b9treHICSQKLtukLuKadM6WWUqeeQILpgI4Rwvv/CjMzNaq+sVverRJKDn+TTpnq1lKnnnWa624MLEqxk4S/JHOVi56kXiK503uKiDMa9I5W3wpeQRvPO64cCha1R+P1YXegmi8GA+O18k2NrxYp3MrWSXkkbEwhitFzl6NnwzPuwZ4M2aKbr4IpXGzSeeekkfZMV54L6wVzofVUpvwSM+WC4+FFU4riKB0+SXkJpCteneP0CVuttEZNTkxKd2svMH2v5k+x/MwdrOwX3gi4G3LgoAUOcg1T+F+n3AqkOe9kaFUhnY8D9++0t1FIbfUaaszm7NGwB6u78ICwdo/XzUMh6gm8ti1Z0HgUv01T/HCPDlmrc9oSzTIbuGJ7NhR4bJArKxKNJ5AO2q57VgXnZmDbSSla2Fxq0uxFWdhA7cLw/VqHXleUBxrvAel4pCRyw7OCsR5z7EsfCMo7MmK75E1X/BHv+r9Ep1N5u9wQ4VwXzgjJMNFFXm2e5QZdcUv5KRKB3YJt4cciOI9y5I+C6e8NiYmtx0r1dnWtVhNeMI2Nj/ZzVSRZ+k8Dva2gJGTqt98RoM8jpuvAb3XcqRf1LidEZ2TrUt09ip4/WpbyhR5TUfSJ4OUV/qjg1Kx4bazVV7rDcltx0p19mtm16cp8mwHq1oqMpOVKKkgjsEEVq7UzllMyYl3ue1Yqc6ePPteyFhtWInJ86ynugYEmqJNLVnKs9o05bnt2GjobORxql6GUMNYbTUQk+e9qqlrSJHbtGv+eDWVSbRjeF7TF5RSnb3X2ZqfNdjYHcUGeONi8jwxLGjPWfCEQJ3kDUmVMBbv7MjiXXOEuF9t046V6mzkofsWgeSWinuMLRKs4P+nw/DFrc+kjF8RGLPvcySCI4IvQ5o+QVm8I9FQON8RUjUUpFJM57RjXXW+Kfl0FO+ECQKx2pclvt6js6FZGFG21CUMdoQzz0VioMNgMXNnEgrtmj9WfsH4uPndZC6kU/imaihKoVvC8C4HPar+WBxuo7OdApMZnxRzhKrnyd6WI7NboKrnuivcDkZSwxHriEVXBV+jcayNWLJU3PQjF09FxlPhUgVxbdsxdOyiMx67S/ghWNjxm4M9B8JA6nnWh4Gq3e7VODFsnZD6uNqrNTvJbcp4nYQWTsptxwqXKZ/eb+RZRs9px8qtL5TQb+TZbxT//QftHF77jbzcdizHtp6/00/kUcrcE0p/Hes5abZAP5FHuTFR+K//+dSG+X4ir43effHugLyCbRiQV0DeH4XzTTW3ZsajAAAAAElFTkSuQmCC\" alt=\"dh/dx\" style=\"width: 39.5px; height: 18.5px;\" width=\"39.5\" 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: 30.725px 8px; transform-origin: 30.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is simply \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Deltah/L\" style=\"width: 38.5px; height: 18.5px;\" width=\"38.5\" 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: 214.6px 8px; transform-origin: 214.6px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Darcy’s law applies when a Reynolds number based on the specific discharge \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"v = Q/A\" style=\"width: 57.5px; height: 18.5px;\" width=\"57.5\" 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: 91.025px 8px; transform-origin: 91.025px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and representative diameter \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);\"\u003ed\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 175.417px 8px; transform-origin: 175.417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the soil grains is less than (approximately) 1—that is, \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Re = vd/nu \u003c 1\" style=\"width: 79px; height: 35px;\" width=\"79\" height=\"35\"\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: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \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);\"\u003eν\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.733px 8px; transform-origin: 114.733px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the kinematic viscosity of the fluid.\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: 371.492px 8px; transform-origin: 371.492px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe Kozeny-Carman equation provides one way to relate the hydraulic conductivity to the representative grain diameter:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 37.1px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; 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 18.55px; text-align: left; transform-origin: 384px 18.55px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-16px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOQAAABKCAYAAACrQfgTAAAO20lEQVR4Xu2dV6s1SRWGv/kBYrwah0EMF6OCYkZUcMAsoph1Lg4oOiqIOY0iMmMOoJgZ4btQzCiiMwZQUBEjKCJeGBAdvTIyP0DXM1+/x3XqVFVX7+69d4fVsNjn7N2hatV6q1aq1ZddiCM4EByYDQcum01LoiHBgeDAhQBkCEFwYEYcCEDOaDCiKcGBAORyZODu1tSHGF1p9B+jLxn9YznNP3hL4dfl3VN/ePCn7/jAAOSOjDvwZc+x533W6FsdKO9on/8yusbopgO3Ze6Pu7M18DNGj3MNhW8vNfrj3BsfgJz7CF248Ahr4kWjh7oV8aP290s6UN4rVsozg/hN++8XRh/ovr2+49XHOlDOesQDkPMdHlQuZnTA9/XMSvhP+46V8kmxSp4OIpPXE4yuc8PKivl3o58bPXi+w32pZQHI+YwQgnOV0RVG2IlXGz3e6IkFwLESoJYFIPvH8L92yjsSoPZfdYQzApBHYHrhka+z7x9g9Ozu9z4BEiDvYueHc6c8jtjfNxh5lX8+o560JAA5r6FB5fpB16S+lY9Z//NGCFwceQ6gXXza6I1Gi/BKByDnJcrypuJBrTlrOA/b8kFGs/ccHoHFqP+v6rSNezRqHEdo5vlHBiBnMQynjZD3FDc99mPuQNh+YvRmo8/Nq/mzbM2LrVUf71o2e/U+ADkvGZLn9PXWrPcUmgZof2X0iXk1fdatwT5/t1GfGXD0TgQgjz4Epw24n/31y+6/R9pnLruE2f7RRmE3Dhs32eYByGF8W9TZqI547u7btfrP9vkdo1aPJwB8mNHtjVBRCWEwi2M/3inDCUD41AwYuQ8Hq+ZaD/p4S8JbQMbRkhYnQIbKukIJkcPgTdY3gs1v7fr4oQ5IP+3+/4p95tRKhAP7755G7zX6ixHXcuCAyHlOS657kgdQYZ+fCOuS2Q5/X2B0NyMC+Tiu/CSFlvBOI5IiONIMHMCbTk7wiElu9ppFqKzDRBdhIf6HkKSOF9kp3BEb8EdG6ewtBwNAxmmj1dRfe61974HsVdlcaxeREjaMzbelCz7cCI3Bgw5gAVImQSYxeVC18omPjA1jADDh+QsTfg9szuFOD0AO47UHDsLgQw7+t5xq9HY7n1X1D0ZpkLp2XwQKtbZ0EF9bY+iDGOI3uk5jU5MSB8+1yikxAn6ibXCgMbym++R/clpvNmpRa4dJwp7ODkAOY+zvO6HIhSUIQSjLJgWk4os8LeewUbjDC9ewlq3vbE1g2tXCiijg0Vt5pPsymhbFmT5AKln3gZleMSt797tSv+6QnPtd+/9TRq3OjjkzkOwYjpwQSEBSsKLm/s4Im6ckPAL6qoRr5ED+zK7HNEC9Z2X0SRCshExepQlu5KOPd3kfINUyP8PzXSlly6d+wchXGi1GXWgYhhJwPH9S17pWP26fqrl854Vr9m75Bh5NcYrnCfd7rpFPgvDB/lYZnqJde79Ha2c80EppXd7hAWBfZrSGVdEPgmw9v5UH4eF/VsDUIeNXx1L2jVfNYm/jJW77CS63bUrmwepyeVsBKaEprY4ejLUsk73PMAd4AKB8g9G3jVCb2CjMJ56/dPe+n8hyfGkB7AG6NLtHeHv8/ta6NIwh8yCdAGfXkaENagWk9Hnun3PLf9m+J87zFKM1qagpP1UeAufCSffj3+yz5OX03tOcOuoFT4DVxuShY7mm8wW43OroJ7mcCbBoPrQAUjuu1VE/YylISzB8ETVLRo6WXO215G//iBogFexXLA3v62+NqAejGNrI5i7ycg+43Arow0dMjMRp2V41+6B/y2i0ANLr84qhce+PGOHmX2NgusQ7zdz8Di+wYX5tVNp14YP6SgbgWm0N4npikxxMdDcavb9yv5YxXfo5tZgsffOOtS/Y/98zWo3t3QJI7yUEfGSRSEVlVdzSFiBmZyYhrWoSfsD5cqNcBTivlup8VljS3Z5hpK1BOMu2xs/c5OHDHbkaOJoU4TlmEsn2q8njbQGkZiSYpyRomHFiNLW9yIqidKkxM/3FiScK5Yz+2+6LxoAa/5iOB77cYClsQdaJktDhoQSI+wBK6qwOSUwfw5u5X4tZwFEaQ/iP7GG3v6/7nHufmtvXB8g0HqQbM5vvY2by9kNzJzInTul9U1gDOzm3aZg2f82IsEerbTmmb3HtijnQB0gfgGVVZLXUirCPGJAqr41lOc6RqWKgUtlrQXvZ2YsoNTiWuXH9/jjQB0hv/5DWRQqcUpZoVWkj7f5afPg7t5RbVCL02mOwh+f+xp7YB0jvVdQK4Z08W1gRpCWU1FElRaCyLqLU4MZkfFHdrQEytee0g8Fnl9DZLeRfKvYFKNl4/JtulO9jn681ImvnLROqyYsSomjsdByoAdLHg2qbcUslJ3Zp5Vy9rPRF9i0bZ3WwCXlKe3UXnsU1K+JADZA+XS61jVSKUPG4qWynQ3tZ721jqdosKxrWbFc+Wehgbmvd2nkxp/6xifr0KAEyTZfLOW98Bg+r5BRFew/tZaVK+FYA+Szr6xcTSSTT5Zlzks4NtuWD1udXqN8lQPryCbUq2j5pYKmba7eyQpyZiTsBwBEVgDzuLHBGcykBstWT6u1MurWFMMhxhy+evmoOpIDEqaL6oL7jZL782EgpX5x3V6O3daqqziVGSWlDf+6qGRidCw5MyYEcIG9XeMCtCSBL53G5P3fK9sa9ggNL5AD+lkcZkYZJPvSHjbJ54H2JAUvsfLR5Wg7kqoZP+4Rl3Q3HI2U5W0tvqpYsDjX//s9sZCIAWRYGVdDmFQEtW8y0cwMBZibkYNC+33h9WuEPJwypiq0Dvw+x1szOtrA4LnGAcWYv8FcbxlU7U/ymBB+dOFfxIAB5XswEROrm5ApX5QRT72skY0fFvQRQ9jtq/2Mu4V1lQbDdVV2N76434r7sQb3uCGgIMNaZTpy+bzM5EzmvPUj3ayo6cS7LLQB5lukI4auNmLn07oi+rVwKEZVyXZULW9odowSM3HP021SJF624pk8UJh6Sm6uq4WxgX82G4QrDlBzz9Ep/S/WRtGHhXFQiAPl/jsM8HFUIk4/D9gGyBijuriSLXPKEDxvlxkLt2Nf+05y8af9na8EyAZHqexy5KnGtE8HSzttl4qKPyAyT/rnSIwHIvAj0FVryV6maeQ24OscLq0/Sr+0t1bWHql2EEwKQld7grL5LtSexgCwtHVsCJH1mtcPebzUrNEFnE2kCkOMBWStZyN191QXPb2/c18As9aaWMTXVyqK2tiR4MGkpsd7X7d0aIDWOrSUp0YqYxPzbz07HLwA5HpA+qyk360ktTX/zm79rAPDC3gKUMeCkL4818i+1abmfV723Bkj4w6T8LqPSa+jFQyY8HH8nRhGHbJGs7pwhKqt/lQCXo1pqb6Rmz5xK6nfT1IS49u5I2nmF0ZVGxLhKr2/gvFpBZ7EGwWKiGBrm2Dog4Rlqe20i00b26vtuYoUcv0JyB2KP1AeVZ5YUQqopMEil2VC2Ide3AlLAZhKgWt2LjLQFrlZgC/BTvrIW09QklL7YpmUe2zog1f+a2or24d8Wl+VrAHIaQOZAyXd+tUyf5AGZe8Grzve2ZrrStqzkUpP61FAJ1S5q8VIBCf+o+oCGQQKI3lzN988zgnctDhuNQ6l6BmD8k1Gq0uKl/WsH1NvGOwA5HSC5k7cndWdWSl6pncbmBMi+igsedCkgW4CADcrK3aeGqu21yaG0Wra0o3TtMb4nNvw0I19TVxMR/CKEg/ou7aMv9KUxysWLZZefJB3F1CDmfca5E4CcBpCyD/RiUYook6HhVdg0gOwBWatx60txpoCUHVp687JCKy0xRXlzd5GJpQFSo64+6xUZZEdRDR1b/CojNrBz9CVmlEIZXrvJSdq5++7C/GPMaId+ZosqqDYJjNiL3hZE3QFAitHp3R5Kn/Obu1ttSO+p9eGUUoyS2R6vaa4kf8rTLQJSISv4hwbDqqn4q08OafEcM8GmdnxfNYpz9ZgCkONXSK0OOaeKBytP8jaGAMD3rYD0qpOffXN2X59dMzdATlHgrMXeU7/9i5BYqXCQMXnJ8aVx1erZV3g7B8jBC0kAcjwgtdKV7IzSSubVvFopTW+XeuAqjplLGFCeJb+1rI5w4dgr5BQFzoZU0/emAHxK1XqZA60ZUgCy9dwiUAOQ4wHZkjqnwfUCk87QpaByyU6UupUKobdna7Zp2nMBfBeZmMKGnKLAWUusVf32GkqatOGLvLWEgWpOnUGr5C7MH/SAhZ48xIbUClkz/DX46cDr+1IFeL+6+hW41D6+v2iEc2loAWuBqsVeSod1CkAeUlQ84FBJvapKO7z92OJ1HhPDPdPvAOT4FVLCWHutglazVNi1SuZUJlrm7RgfR0xzR/EInhjhxude1xjdNFDCJYRDgezbyd+7AHpgU0ef7gFXClUQ+mh9m5nU39F9D0Dmx9Y7TFpc3qx0eFNzuawCT6lMpp6VbmJW9g8tTGve+rQ73wPusevr0LVq9PU3x7GlrZDeLs9l16Raj0+kz/Wf+zGOhExGHQHIs+xTGQ1mRx9DpHZm7bUBvsoAKpAKEl9tf7Oyld6urKdrXx2rG9dSs4U2kIjMK899yptXt7her1a/2f4e+wJd7EgEtNURpPYvDZACXG4F9LY9Kx4HLxEmsaKUerhrDvA58AYgzwOyNsO1CDwDqop8Q9/7gc14edeA2rP8Zupae4f+NnQrke7vV5xdUu+GtnPM+SW7PDe54NC5weikMtnJfhytrtKAAOSYoV3ntaweeG77NtyyUlPi48lGqhYAR7ClqTVzS0WIj8k5H+7Igcg7zNA+amCkH0xGLRu6m/ocgGxi06ZOQiB5RXvfu1r6whS32j3mWFunRQuRltOnEUm9bd2c3CtIAcheFm3yBBxRCBkqbBxlDuBcu9FIu0RG8yoAOZqFq70BDh72eE4mbCvjVOsumkHdDkAOYtemTlZt2NZCz1tizt5q1gYgtyRGu/WVkAYV1PuSq3e7+/KuwgZle91eNIcA5PIEIlq8Yg4EIFc8uNG15XEgALm8MYsWr5gDAcgVD250bXkcCEAub8yixSvmwP8AuFWfeH9VVoQAAAAASUVORK5CYII=\" alt=\"K = (gd^2/(180nu))(n^3/(1-n)^2)\" style=\"width: 114px; height: 37px;\" width=\"114\" height=\"37\"\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: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \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);\"\u003eg\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 104.242px 8px; transform-origin: 104.242px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the acceleration of gravity 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);\"\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; perspective-origin: 78.95px 8px; transform-origin: 78.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the porosity of the soil \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: 363.683px 8px; transform-origin: 363.683px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that takes as input the flowrate, the head difference, porosity, and length and diameter of the cylinder holding the soil sample and returns the hydraulic conductivity and a flag indicating whether Darcy’s law is valid. Compute the conductivity using Darcy’s law regardless of its validity, and use \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"g = 9.81 m/s^2\" style=\"width: 87.5px; height: 19.5px;\" width=\"87.5\" 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: 15.5583px 8px; transform-origin: 15.5583px 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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\" alt=\"nu = 10^{-6} m^2/s\" style=\"width: 87.5px; height: 19.5px;\" width=\"87.5\" 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: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 338.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 169.35px; text-align: left; transform-origin: 384px 169.35px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 494px;height: 333px\" 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\" 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margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 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: 3.88333px 8px; transform-origin: 3.88333px 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: 3.88333px 8px; transform-origin: 3.88333px 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: 3.88333px 8px; transform-origin: 3.88333px 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: 3.88333px 8px; transform-origin: 3.88333px 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: 3.88333px 8px; transform-origin: 3.88333px 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: 3.88333px 8px; transform-origin: 3.88333px 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: 3.88333px 8px; transform-origin: 3.88333px 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: 3.88333px 8px; transform-origin: 3.88333px 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: 3.88333px 8px; transform-origin: 3.88333px 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: 3.88333px 8px; transform-origin: 3.88333px 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: 3.88333px 8px; transform-origin: 3.88333px 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: 1.94167px 8px; transform-origin: 1.94167px 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: 1.94167px 8px; transform-origin: 1.94167px 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: 1.94167px 8px; transform-origin: 1.94167px 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: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [K,isDLvalid] = CHP(Q,L,D,dh,n)\r\n   K = f(Q,L,D,dh);\r\n   isDLvalid = true;","test_suite":"%% Coarse sand #1\r\nQ  = 8.92e-6;               %  Flow (m3/s) \r\nL  = 0.1;                   %  Sample length (m)\r\nD  = 0.05;                  %  Diameter of cylinder holding sample (m)\r\ndh = 0.3;                   %  Head difference (m)\r\nn  = 0.25;                  %  Porosity\r\nK_correct = 1.51e-3;        %  Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%% Coarse sand #1--larger cylinder area\r\nQ  = 3.57e-5;               %  Flow (m3/s) \r\nL  = 0.1;                   %  Sample length (m)\r\nD  = 0.1;                   %  Diameter of cylinder holding sample (m)\r\ndh = 0.3;                   %  Head difference (m)\r\nn  = 0.25;                  %  Porosity\r\nK_correct = 1.51e-3;        %  Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%% Coarse sand #2\r\nQ  = 2.44e-5;               %  Flow (m3/s) \r\nL  = 0.1;                   %  Sample length (m)\r\nD  = 0.08;                  %  Diameter of cylinder holding sample (m)\r\ndh = 0.05;                  %  Head difference (m)\r\nn  = 0.4;                   %  Porosity\r\nK_correct = 9.69e-3;        %  Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%% Medium sand #1\r\nQ  = 1.52e-5;               %  Flow (m3/s) \r\nL  = 0.08;                  %  Sample length (m)\r\nD  = 0.08;                  %  Diameter of cylinder holding sample (m)\r\ndh = 0.1;                   %  Head difference (m)\r\nn  = 0.4;                   %  Porosity\r\nK_correct = 2.42e-3;        %  Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%% Medium sand #1--reduced head difference\r\nQ  = 7.61e-6;               %  Flow (m3/s) \r\nL  = 0.08;                  %  Sample length (m)\r\nD  = 0.08;                  %  Diameter of cylinder holding sample (m)\r\ndh = 0.05;                  %  Head difference (m)\r\nn  = 0.4;                   %  Porosity\r\nK_correct = 2.42e-3;        %  Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%% Medium sand #2\r\nQ  = 7.08e-7;               %  Flow (m3/s) \r\nL  = 0.1;                   %  Sample length (m)\r\nD  = 0.05;                  %  Diameter of cylinder holding sample (m)\r\ndh = 0.3;                   %  Head difference (m)\r\nn  = 0.3;                   %  Porosity\r\nK_correct = 1.2e-4;         %  Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%% Fine sand \r\nQ  = 3.57e-7;               %  Flow (m3/s) \r\nL  = 0.075;                 %  Sample length (m)\r\nD  = 0.075;                 %  Diameter of cylinder holding sample (m)\r\ndh = 0.4;                   %  Head difference (m)\r\nn  = 0.25;                  %  Porosity\r\nK_correct = 1.51e-5;        %  Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%% Silt \r\nQ  = 1.17e-7;               %  Flow (m3/s) \r\nL  = 0.05;                  %  Sample length (m)\r\nD  = 0.08;                  %  Diameter of cylinder holding sample (m)\r\ndh = 0.3;                   %  Head difference (m)\r\nn  = 0.4;                   %  Porosity\r\nK_correct = 3.88e-6;        %  Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%%\r\nfiletext = fileread('CHP.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'assignin') || contains(filetext, 'assert'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":4,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-08-18T23:24:39.000Z","deleted_by":null,"deleted_at":null,"solvers_count":19,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-17T14:41:04.000Z","updated_at":"2025-12-01T14:29:21.000Z","published_at":"2022-09-17T14:42:34.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA constant-head permeameter is a device for measuring the hydraulic conductivity \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of a soil sample. In this problem the sample is placed in a cylinder of length \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eL\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and cross-sectional area \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"A\\\"/\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. By supplying a flow \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to a standpipe, water is maintained at a constant level so that the head difference \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltah\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta h\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, or the difference in water levels between the standpipe and outlet, is constant. \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 hydraulic conductivity can then be determined from Darcy’s law\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q = -K(dh/dx)A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = -K\\\\frac{dh}{dx}A\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\u003ewhere the head gradient \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"dh/dx\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003edh/dx\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is simply \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltah/L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta h/L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Darcy’s law applies when a Reynolds number based on the specific discharge \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v = Q/A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev = Q/A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and representative diameter \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"d\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ed\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the soil grains is less than (approximately) 1—that is, \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Re = vd/nu \u0026lt; 1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eRe = \\\\frac{vd}{\\\\nu} \u0026lt; 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\u003ewhere \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"nu\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\nu\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the kinematic viscosity of the fluid.\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 Kozeny-Carman equation provides one way to relate the hydraulic conductivity to the representative grain diameter:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K = (gd^2/(180nu))(n^3/(1-n)^2)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK = \\\\frac{g d^2}{180 \\\\nu}\\\\frac{n^3}{(1-n)^2}\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\u003ewhere \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"g\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eg\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the acceleration of gravity 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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"n\\\"/\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:t\u003e is the porosity of the soil \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that takes as input the flowrate, the head difference, porosity, and length and diameter of the cylinder holding the soil sample and returns the hydraulic conductivity and a flag indicating whether Darcy’s law is valid. Compute the conductivity using Darcy’s law regardless of its validity, and use \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"g = 9.81 m/s^2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eg = 9.81\\\\rm\\\\,m/s^2\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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"nu = 10^{-6} m^2/s\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\nu = 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the water table in a layered unconfined aquifer","description":"Write a function to compute the flow per unit width and the elevation of the water table above the bottom of unconfined aquifer with two soil layers. The input to the function will be the positions where the water table elevation (WTE) is requested, the hydraulic conductivities of the two layers, the thickness of the bottom layer, the WTEs at  and , and the length  of the aquifer.\r\nBackground \r\nCody Problem 52070 dealt with the effective conductivity of a heterogeneous confined aquifer. In that case, the effective conductivity  for the case of flow through soil units in parallel could be computed by realizing that the head difference is same for the two soils and the total flow is the sum of the flows through the soils. The effective conductivity then is the weighted average of the individual conductivities, using the layer thicknesses as weights. \r\nFor an unconfined aquifer, the effective conductivity is computed in a similar way, but because the WTE  varies with , so does :\r\n\r\nThen using Darcy’s law as in Cody Problem 58966, one can write the flow  through the aquifer as\r\n\r\nConservation of mass says that in steady one-dimensional flow, the flow  past any section is constant. Then the WTE can be computed by inserting the effective conductivity, integrating, and using the boundary conditions  and  to determine the flow  and the constant of integration. \r\n\r\n","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: 836.3px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 418.15px; transform-origin: 407px 418.15px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 367.442px 8px; transform-origin: 367.442px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the flow per unit width and the elevation of the water table above the bottom of unconfined aquifer with two soil layers. The input to the function will be the positions where the water table elevation (WTE) is requested, the hydraulic conductivities of the two layers, the thickness of the bottom layer, the WTEs at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" alt=\"x = 0\" style=\"width: 36.5px; 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; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 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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\" width=\"39\" height=\"18\" alt=\"x = L\" style=\"width: 39px; 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; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and the length \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);\"\u003eL\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 44.3333px 8px; transform-origin: 44.3333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the aquifer.\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: 42.775px 8px; transform-origin: 42.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 85px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; 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 42.5px; text-align: left; transform-origin: 384px 42.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/52070-compute-the-effective-conductivity-of-a-heterogeneous-aquifer?s_tid=ta_cody_results\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 52070\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 306.625px 8px; transform-origin: 306.625px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e dealt with the effective conductivity of a heterogeneous confined aquifer. In that case, the effective conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"24.5\" height=\"20\" alt=\"Keff\" style=\"width: 24.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 330.125px 8px; transform-origin: 330.125px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for the case of flow through soil units in parallel could be computed by realizing that the head difference is same for the two soils and the total flow is the sum of the flows through the soils. The effective conductivity then is the weighted average of the individual conductivities, using the layer thicknesses as weights. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; 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 21.5px; text-align: left; transform-origin: 384px 21.5px; 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: 321.408px 8px; transform-origin: 321.408px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor an unconfined aquifer, the effective conductivity is computed in a similar way, but because the WTE \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);\"\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; perspective-origin: 36.95px 8px; transform-origin: 36.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e varies with \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-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 13.2167px 8px; transform-origin: 13.2167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, so does \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"24.5\" height=\"20\" alt=\"Keff\" style=\"width: 24.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-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 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"172\" height=\"35\" alt=\"Keff = (1/h)[(K2-K1) b2 + K1(h-b2)]\" style=\"width: 172px; height: 35px;\"\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: 90.8917px 8px; transform-origin: 90.8917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThen using Darcy’s law as in \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58966-compute-the-head-for-steady-1d-flow-in-a-homogeneous-aquifer\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 58966\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 73.5083px 8px; transform-origin: 73.5083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, one can write the flow \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);\"\u003eQ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 70.0167px 8px; transform-origin: 70.0167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e through the aquifer as\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"183\" height=\"35\" alt=\"Q = -Keff(dh/dx)A = -Keff(dh/dx)hw\" style=\"width: 183px; height: 35px;\"\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: 224.825px 8px; transform-origin: 224.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eConservation of mass says that in steady one-dimensional flow, the flow \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);\"\u003eQ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 152.058px 8px; transform-origin: 152.058px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e past any section is constant. Then the WTE can be computed by inserting the effective conductivity, integrating, and using the boundary conditions \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"61\" height=\"20\" alt=\"h(0) = h0\" style=\"width: 61px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-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 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"64.5\" height=\"20\" alt=\"h(L) = hL\" style=\"width: 64.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0.991667px 8px; transform-origin: 0.991667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to determine the flow \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);\"\u003eQ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 99.9583px 8px; transform-origin: 99.9583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and the constant of integration. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 346.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 173.35px; text-align: left; transform-origin: 384px 173.35px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"559\" height=\"341\" style=\"vertical-align: baseline;width: 559px;height: 341px\" 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22Pi5Ga3bpBX1I3uitVG2lZbN8pbviDjIVc/dQN/yJ9oJ5lPN0f7sn0ajz+8u/99b918u3/37l2Xj0snZ1e4731vP5GGYRgGYZP+FX/ym3Y/8He+6rpeiuSb9B/79j++++AXPG/35JOP779nzebz2c++Z/dt//j/2X3e7/9zez2+FvN1X/P7rivWHc3LXnEiDGdFs4MYvvZrv3b3xje+cffa1772pOd4+B3pwIbZDRwbYg42x9kvjufGGV02iLSdDG7KsWPjqQxdHG3vuecpHyvQZXOKD31X0MkWjEm7FcONcsbIc2zZ4LLZ5kC2r7aQOp0fzm3pr6S/bOvcsSWWcsW+bNFPu3deunf/23Uu7R7c/+NbfstO/gNcjp++59fu/wHum+75/Ktt/kPc/XHyD3GzzX+Q2/3DXI5hGIY7Bf8h5ws/5HmXP4lOv2nOf2j6b3z6L989/3nPubpBBzbonH/Ov/ZL95t4eP0P/9R1xbqT8ToMZ8u8SW94wQtesHvHO96xe/7zn797+9tP9/bS76S76TwEG9ytN+Jb5Kb+EMRBPzfUYN/Wm/ek6rqR7ezY6Npv/GNIO9g6N37WnPE8Tx026R1b8zgmxhZd/tpu5dRBLqmv79quxloef3jf5Nd4YL7KMwzD7QC/eeX7fvCNu7/yNb/7pOd0+CbdN+TAs23/FY54m/7Sz3z17o1vftvuxS/6oN1Pftdr5vkX7Gs1X3c5c+ZNeoG352zQgfZ63qbnW2w2p2ysaDsZVm/EOXjrzaa4k/UlnX9l7EC/6QO6N++J/kBd+lZvpsGNIXbHvL0X7FI3/eOPja24Sc48cgOMvmO0q42qOuabLWMJ/RkzdTvMQ53Mz+u9Iu1oqz7xzcdzqX20xHxau3vw6u/Mr78734O3/PlWn/Zf3PeFT3u776/azF+5Wd/s//yzfsH+jT7taX9d2jAMQ4XfkX691GcQG283375Nt/3ol75w37JRnw36cDOYN+kB30X/0A/90KubdDjt23T/4Wi+bWYzuwUb5i20R6+TieVGn83wVswaK/0l9Kdf0Pf1kPlkLONYK/uuNxab2ZUdm1k33G543Shv2XTjbra7DXz6PW1b43Txj829I+uTcvqsczoEttrokxZqbjle2z0nb/X9zv7qu/pP7O7bPed9P3t5pcwH5TA8k+EN7l/6m//7mb5JXz1XPvO3vnL33a/fzZv0FfOd9DOnf/X3DIXvoucGHc7ibTqbUjadbEY7mU1ObmIr6LmxrTK4keb8UMwaxzFz4ECG9Ju+2VBV/SpX9MEB+oCsFWSs07JlxyZU3NzW2Ak5+ra8Ql/6E/26adU++7daamJtVvHxlZv7LdIXoG8f2KbPFekr27TRP23NG+zrWg6+r8/bfL+zn9/T5/C7+m99zuc+/U1+vMGnrW/vPebt/TDcOfCWmzfp/CGi66F7k15Bh+NND794f/7iX/hBrR684c1v3f8BJDb+P/f2d5303vnMd9LPh3mTHvhd9Mpp3qbzJp2/Ovrk7vJmo+DmlU1oJ7OJdmO8JbMpcnNzDPg/Jk7FDXWHvlZs5Y9ca7ACnbQR+7dqcYzOeeIG9lBsN7Wdrj4cr3pp27Vs8rfYil3Zmk+OHTvvDvM5lLcQS11siWmb0Ac5bl/+th3a+5/8uSv9J+Tb+w943/930jsMw0XhrL6T/ps+91fs/ue/+KWXPzmevgF/y889uvsFn/qf7uVX/M5P3/2FP/7vPk2PPPxDSPzBo3f8wH+1u/vuKz8E+JWZO5X5Tvr58Ow/epkT+RkNv27x/vvv333mZ37m/vju7/7u3ate9ardr//1v373MR/zMbsP/uAP3r3whVe+j7bFIz//+O7x9z1rv0FkS2kLtCv5rsv/u/vup/6K2Zb8xPuuWLLJeOyxx3b3XO7D/tLlDQuyfuVQHDa/jNUj/XOecH7v5fF3Xx5/1t13XyMfMxdjYNfNQRn9tDEn+61FcowOcG1qvG6u18uzL9fiyY3YjqCz0n3OA/des4muetre/ey7du997+O7++69XKu7nn2131rgp2vR1Scb3pUerX47GCdPfKXcsZWTc+3iYFf7q61zqdBnvy12+zld3nxfuuv5u7vveWD38+9/aPfzz37R1eOJ+z9i947dS3bvuf+X7N59z8t2P3vXx+7e9cDH7x6591fsHrnrI3eP3P1Ldpee9UG7t93zCbsnnvWBu8d3H3DZ1wftjyfvum/3/rvuvSw/tLvn/Y/FFR+G4Sz58Tf93O4n/uXP7TfZp4U35H/sz/6dvfyjP/kzl///fbvP/JSP2p8LG9A//XXfvvvu7/sX+/P/7A9+3u6XvuxD97J8xX/+Tbs/8mf+zu6rv+zX757/4HN2P/Rj/2r35b/3s3cP3H/5c+gO36DD+97//t2zPuiTT86Gs2LepC+4667LH6nXURq/k355y3f1bTqbn3yTnG8Z69ve1RvJlBPsK7557uSVv5qH6L/zWd+GpwzH5A/dHJJ8gw41DtC3yitJvRXpB6oN8mouh9AX9rn5TlLnemJY65V/Nrv2IR+jV32u2mP8bq0F6eLVt+uHctryDzm/Y8h45KJ9bYVzqDrgX8Hlzf3+PN7e8+b+Sntp/xt0YL77Ogw9fif9u7//X+y+/r/+9056T4dv0uVVr/h1u6/8/Z+z/3WMbLDzDflHv+yFux/+tj9+zT1JDh/yyf/R7q98ze/Z/Vuf+4m7z//9/83+d7c/k96k75nvpJ85s0lfcKOb9NzgVdxE5savbixXcgcf/G4cunhJ9adt5lFZ+VzlA6v8kZ132uccUu6oOWcdQb+n1evqV22SHOvknF/OW3K8Qk654avk3KqfQ7bHkDXxvPOZesp1w9xdx5VutsZL3cyh83HaebPxXq2zYzjWvm7whTms6przR6Y99A9rP+B9b95detaVv5Q8X80Znil8w7f+0923/ZMfPvXXXdhc86sV/YujbM5f+7pv28vAXxV940+/bffwo1d+Oxp8zzf/J7tf9fEvOTk7+ZrH5Q04b+T5fer4+y2v/PO7b/mHP7j72e//L69u9O909nWYr7ucObNJX3Ajm3S+k85fHWXz5Oas20jk5vVGqb7cFBAr5Y5VHpn7yo86uUFdxTKOaGfczKPKK13gH74emltS5wldPObBD1z2VzrfSdYFtvKEjFv1ujHjr2zOC+JmPVYbTWCsbqS7jWqnk7qHdLr2UD3Mu/N9TC21P4aMcaxNR+a88sMYpN59u0f3fVu/NUfmt+YMtxtn9Z307/wbX7H/R6i/+ZWv2/+axYTf6PI93/Sf7D7sQ55/zR87qrBZ/Tf/wF/Yfe/rf3L/10s/5AXPPRm5s5lN+vkwm/QFN/omHXKTVjd5udHxAzw3odkH6Uu52ziCmzfGU95iK94hP9g6Z6g6+nYTxKZLf7DKreYEqeu4Gz58drWpeum308t5J51d+k750PxqrNU1XeXkXKlp/pebY6jzwFe2Z4Vxus0vY90mc9UP1V9ez84m316vWnxUPXwdY2trHseC79PYrOZ9WqxTV686lu3WP6zNzf1973v48vlTbxyH4WbBJv0Hf/Snd3/xj3/hSc9x+Cb9+17/45efp4/vfvWvfPn+HP7mt37f1T9cxBv1X/KyX7jfnEu3Sccf/LZ//7+/+iZ9NunDjTCb9AVnsUmXugHiQ7puziQ3a7nR60hbN2z1w7fDDd4qh2S1aUsfOa9VDs7fOVW/q5wOvX2G6htqbjWu550eMd0U1dhp53j6rnG2UDfp7FY+6d+Kw3hX08zTeTDfHLPNeULXdwxu+nLze72bTUh/6Yf+1bXLsdRZ9SedziEfx+obi74aF7JmqX9aaq1Oyyq/7FemPea35sh8NWe4EV79td+yu+/eu3d/9Mt+w0nP8bhRBzfh3blfZTn0X5nwl2/Snylfd9kz30k/c54hK+fmwiaGjR6tuJlik+OmiT4+dJXBMaBPP1WG1EXOD0o+kInFUWWotvjMw1jH+qA/c6iYs76PzambUyV9K6cvyDHY0iMmm5luLmnnePpOeStnQC+vqXYV9aqvro4pQ60pMG4s+vihktY+/YLzrD5rbTJ+h/raullc1ehQ7fTn/aM+/W5o7bPt0MbrbZt2tHWjna3j1Ufq2d/FzBiSsdMv0N+B7hbkcSOQQ0f2K9Pye+4fedZLr7b5++45+F33/N572h+779/d/6572/md98NpeN5zLz9X3vvEydnpYAPNBtxNOLARr+foHbNBx+b+++6++j32Z8oG3f+KMJwt8yZ9wfW+SX/bo+/dvePRa/+oApswNifKfmgfixsVNlEpAx/Ynb/V5kawX9nKMT62wD7nnvrpm02hOWzlpE2t56Ha1jxWeiuOse90lKEbsx7O65h6QtrbtwKdrKlybh47Mqcao+ZZx8nvtPWFarfqP0vY2Fa/XZ90Y1lfxq1t17LR3tLBR71G2Vb7VS6dbbar+VVqrv6gcLPo6g2133O+e9+9vX/iWQ9cPn/qTf587/7OgjfpbNT5h5+3mvomfb7uMtwI8yb9jHnXY09cfvhf2m9kPPiAEzZXWx+QfNjwQZsbH/1UGZ2VP3TyLW3KHGmLXGPCIR+Za/pQBmIA+kn6M3/stuqjD31ClXkrvJUH1BinmQekfadDnl7zQzmDtehySDpf2h57nZGpkW9noYunPbWpvtGrNupAxlvNyRaqnaz6j6W7l4B+wS86whibUWXGsnUscQPruLWtrWui9nkOxMm+2hrDmBX7D7VJN8+cb+Z6syFuR+33fPX2/m3P/rirb+1p+Wu1vLXn8I19fVM/3F488q5b/+8hfJucb9KH4UaYTfoZ89wH7mZrc3J2BT5A2MSwyXHjsQJdNiXAB2VucPjQTPC15U9f2Kcs5IRPfKxi+lWIzkfmCp2cOeoz7dkAeN7NJ204so4p57HKY3UNjp3Hyj51HMOnsv0132SVQ70enb226KQMqauctrKK5/WHrTq5gdO/8auOsalFxunqCvoT9dM25bxHzBffOcbGM/Vy84kNazLlbLuNah2veQjjlcxFP/bpJ9tVLFts6a96tf80NmBswU7SV6XrO08Oxcs5iJt6N/T5FZz9129OvnKTX7thE//E7qm1Pdx6eJN+q/GrLe+59MTuoQefWevjGfO9+5vMfN1lwY3+w1E2IWwQcsPiZoNzxyF1RZtEX51tyumnwocYH77aHBNzC/35wV/lLk+ofo29mltiHY6ZJ7mA/o+1Oa19zlcdbLp5Z3/1l3GNmRyyX5H5QWe/ilfpaoM/c0Z2k7dVy2QrTs15i2PrcRrI92b5Zc5uJFMWa5Kb6G7jyaY5r4Fk/6E27aDm0/mqNlUn55Z2jtH/1re9Y/fBH/T8dl4d1VfN4WbwvPf95P4rNs998o27u9/32NV/FDtfq7k58LvNeZP+mv/oN5303Fx4g84fM1q9Pf83Pv2X7/7+1/37J2d3JvN1l/NhNukLbuQ76Q8/+q7LH71X3qZ3H+7dJgVyE+JGhw8qP+iQV7ZJ9VNl3ixufQBmPCBm5tORGw7lzLWLqd9jNl41p470l/G7awBV3z64Hnv1c045b8ZTD1JXudaqux5S7bvrVvNLVvaH6q2v6tfzbKHqG4tNlfl1pG9BN/M7Zm0cQ+Z1jK9j9U/r9zQ4927DC7mxrpvsLbpNNK0b4M5XZ3NsvDqPtEu/h/wdq5v5d3M5a/yuPNz9/ndds5Gf32xz4/CddLhVm3Q49I+Y7/Qf1maTfj7Mf584Y/hO+pO7e/cbCTckHHwI0YJjbMb48EYGN0uA7AdHyp3tIT+CjE5+IPEBlbnRGs8xyBw6jA3KmdfWd8UZX81HX3zodj46f4n2Oc9D+tqkfMiePnXt45yaqc+8aNNvxkfWRrClP/u27DOefYJNrS11lYxTfdEm+nJeuf5qC6kP+qdlDP9dLO0yZ8Yzvy7XlQyrcdBXcox+vY9gdf+kr2PpdPHPphm/bko9F2RiocvmtcM8s3WjW1tJv1s2ne+uRd/8Ice6eUHny9hVFxiXHO90jyH9HcLvyHPw/fhjvlbjd+PnazWH4dcvctxK2IS7Ec82+4fhtMyb9AU3+ttd2EyAH0BsMIHNBh/YjvvhW/WP+eBI2y0/h3xqS25Vr/oF+pwHpJx6kPZ8qOHbPqh+gb4uLqRth/rOmQ9t693Z1vh1XlmPlX3G6uqcc0lZTnvNuxxr7C6O1LGt+OpCjZt1ZSOdse1PPcfAcfvBMdiyW5H2K6wXuXb6NZ+cc5LzFf3V2sCx8+w4tL5gdQ2J1V2bY/GehWPy2CI30VstG/LUXcWp+VQfUGPavyLnm/JFIP9qbL6N549IPXv33stX9pm7EbyR35M+nCHze9LPnNmkLzir76SDH4r54dx9UNYPdM7TzzEf6JB+qs8VKz0/5GoOHYdinBXmlB/m9cOXfn8wMq/O7tC8VvUwnnWDY+aPPnrZQmd7vTnqG9JHFyN1YaVvnkn1p60bosy1iy01h4y1ZbfK1f66PvSrbqdnzrXWnU1Hl3v6zjxrTTNmF7/W6XpY5ZKgUzen2aePboN8SMe65XgXq7Pt2rQ9jZ1tjQ25+a/XmRidTZI6x+ifJfVrNf7ayTv9r8FepF/B+Exlvu5yPswmfcF5fidd+NCtH8z5wVE/xGX1YV7tVxyKW+nyYF7d27vO9zG5Xm9Obl6UD4Guetolq3klx8ZDL+eRH/7M89h8K9Uu50SMrt5wbH2NeegarNCeN7h1M2RNah7WJPsybmdX51bjAHVJuYPx1IPuTXmSNjWvrmb6Xulm7MQYq9yvh8yl5npo7R+is6+b1rr5zfviLNoud+Oe1r7adT+cpc711i1rdN74j1wfevxHrvn98bfzd+O/8A/95d2/9Tm/YvcFv+FXnvQMN5vZpJ8Ps0lfcCNv0rc+JFabDOk+jLXlA2L1YS6rjcP1xE0yBzAP7WrMCnr48O02dLkmdXwrx6zvll7l0LyOJeNDzsl5JNmXut1ca46ruWYM+tGj3l18SNvKVh1W8bfA3+o6d+i3s2Osm9tWLsfkrE6uhe56VMxFbkQ3c8icYbVOnP9qPHFObCitnzC2lfshyPfYjWbqHmtnPQ5thrtNv9cU0s9ZtOmb2Hleud55H6N3FviVGn5LDTzviX+xby/6W/jf95/+1d2n/IoX717xOz/9pGe42cwm/XyYfzh6xvB70v3QpOWhTctD1g9Q4AHPByIHH5q8uasfmNUWubOp9rQZq5M7O8nYynygmwNgU+1WvtVjHl3MQzk5XnPq8jukl7Iffnyo0geZr3S2Va7XN+dkmwc4185Ov5DXP8/BeUD1j56y/cdec/U6anzzgvRT0abmcSi3tHOsm1tS8+hyXul4Dls2ym52u5qlPhBjNU/IHDJn6GR8y2o8cyUu6x3fGZ/xLp9DOC/A57GgSz7eg8pboGfu6nd2PFvV5dpwnvrp59g2N+b2S+ZBf57XFh+C3OlUiHez4B+4cvCPWzl+8r5/e3/kP2x9290f99Q/ar28MbsIvOfS47uHHnz63zAYbh7ze9LPh3mTvuAsv5MOfgD6oPYh74ec45ynLf3a0Md52lT7JGOt4kLGq3lL+tdW3Rp7ldNWrrA1nvl2aHNIL+niZK1hVY+KvmqdZesaQtrlHLocpfrgfHVNhDh1fR665iu/mSdUP+iiU3OpeUPXl9T6JTkGXR5Sc5ZVXFjZCLY1f85X9VCG1FvlkGvj0DpZjUvGWNUtdeo8quzmta73Q+B3NV8xv9wg27pxRWe1ic1aiPpbvrs2fbCZ7vTMYzW+0j8tW3O+VfAVGrj/yZ+7+o9Zb+bb93mTfuuZN+nnw/zoc8bwJh14CPMh5CE8XPMDtI6DH4L2Y2MfHwD5Fq6zF+2IlTJox6FvyNh8CGcsbDN+5sRYHRf7oevnQwcYW407ljnV/OCQXmeTZK1hVY+U01ets2xdQ0g7fTpuHWi7miQZI/VpgTjYqAfK9K/q0/mtuumHA10wh9V1hq4vc6/1Mwfk/K8oUPMAdbeunzrmKeqsrn/qJF0eW3p1XrSQa2NrncBqvOpB1hS6PKDTAWRrry5tN48q11w6yI9nJa2bWs8l5Yr6eT3pIw/a9Lm1kabFRj913JzU8XzVao+uNofaBB9Sx5IcW8my5ecY/PWS/mrJrbfv58G8SR/uVG7szhyW8BCuH04JH1Ld+OoD1T4e8HwwapP21RekL2UeyDUmGw42HuowxocvHwj6BftAXXKSHK92QF/nz77VONCf+sp1Piu9lIW+tIVj6pHyyr7rh5qDVDt9AzayZZ8xJGUx1mqOieMcq2udOtLpOqec30rWDujTd85HOeN7gGsDMgdlWOmYD6SN8uo+hMwj1+dKD/ApKUPqpVzXPuS4dHrgGrAFY+uHI9dKXTf24R9W80i55rLKT7xW10O1dV1mP32c27qhBs+BHHPcvGnF81VbfxCobfq3fwU6SeaRYytZtvzcCP5+eL46w+adw98L7++EdwN/I78P/v777tk9/Oi6TsNwuzKb9HPgrsuPpu7DiYc0H0IcyLIa7x6UPEz5UFx9+B3jCx9Vzz5t/OAW9YldwVb9Op52HpD9xAP7oIuX9inX+WQeK5skbc0l6wGdn5p3Zw/2c9S6VtIOlIm3qjF+uxhbNrA1R0nfgE3nUz3XGbJfq6m63fzg0Lzx2c1L3zUHyHqqlzZQdZyrfRkX0r7LGX18mM/qTX/q5Xy26pt+aTP3Or6qQ0K/G0LGa03F8YyJLOm/zqG7Vuqu5tE9+8T5Zfzs68YTYlXs68aEMWpV65ob6nrebbxrm3q0+LcG9kP2r9qtDf1pIC/Bb8eq/1jyjzut3r5zsHk/tIGfN+m3nvlO+vkwVT0H8i+Odh9MkB9oq3EelKsPHGz44OMDsMrQ+Uo6PX1A2qT/7kOQ1g+cBDttU99+Dh703RxW8VJOsIFurn6IdfbmAVkLMI8aT3+ZL3T2HH7IQuZXcxHj6psDnW5usIqBTXddEv1DVyfIeVWf2kDmZz41Z+N117rKHM6bja5xj81B9Jnzok2Mhy90taHtfII2mTOgL8jq1WO1LlI2X6h+gXF8QR2vORt3BWM1btYp7Ttf9mFj/Crj03rBah5dHsqQdlv1OQ9qXaX2c751/7luGWct5Ea9trA1ni0+9X09beXY+Z4V+fa9/uNV377zF1k5/FP88yb91nNR/hHxncZs0s+B7mHnB1jdAKhbx/3AAj9w0OVDSXhIMkZfylu+wA82xxzXB1SbHAM+DNSpumCMzA1qbRjjg0y9lFfx0he6xurmCtVXZ7+qVc09c7OlDzsPMCf16TdG0uWCzKaUOUv6lkMxqj6kTcqQcwXljF19pk2OmU/2ZTzttmTQR/pJGVY5SI5DrqXMCdB1Y2VbfXY25owuR11P2tS13627Gi/nlvrK+K196SPz3ZIrxq36OYfqAznj02Yu+GTeXgOObh7J6tppt6qPepljsuoHx+pz/EaoPl1jKWfLXN14Q54f0l/117b6oZ/8zLO2K3JsS+9G8e07333n+Bf3feHuTc/93bu3/PzzdrsP+fSrm3e+PuMGfhhuZ87vbnoG4wcR+IDjAc3hmK0PSMhxyQ8bP4ySHE9ZX933ZqHGEez9wEQ/oZ8PQXQ6v10MoM+8tuKKsrkQUxv60pek38xH0pc++JCSVV7QxbNPv1vzB/prDPOA1EWmP3XrOjomhnpbNimD87FO3dxok5yHpK4yGI++tFvJ0M2dVpDJV7nLMedEfdSDWgOo9pxv2WTO6DFOHHMH+wQ97v/VvQT65Ui/yvlfGCBj6Avol5XcxYWqn3NAZ3Uf5XWD9Jk5YlPnIdp4/XLcWOroK33X+dPX9Ut3vdSnPUSnu7UGtkDPjTTkBluf2a7GObe2tis/9hu32tWYGUPQE8ZuFu953/27h5/zqfvN+1uf87lXN/C8eecrNG7eb+S778Nws5lN+jnAh4kPaR5YfhD4AQUpix824gOfB51jjueHQepJ6ucHUZdL+oLMuevnfOUXMga1cKNHm3EhYyvnPIjJB4Q5qKMv/Ve/h/L3fGVvHFqOlR5kvYAPOPQ8IGVI/6B/20qNkTVexYCVTc6n2mSdVnODnEOV0TkUG/281it/q7k7DplXN55zksypzklZzHnLxrnkWOZun+S5OqBs/vr3eoExtnxCxs5r3l3/Lm5nU2GOqSc596xPYvy068BXPge0sTb47vzk/HO89ku9XsbratPJUOesT+pDnWodtLMV7LGV3EBvbaRri5652FY/XZv6tqeJQcuY0Hde/NRPv2X3wl/wC6/Gy5Y377t7Htpv3v3uO5t3N/B+fWbevt8Y853082Gqeg74kBY/CHhI8ZCG+nDvZMDX1ttwQeaBlH7EDwdyUN7yBX5wreai3PlOHR7eviU7zTwq+E5959rpZ/yt/LG/nrzUoRV8On/1/KBKv9qgT21E/37odWSMnIdkPFCn2jBuvJqXqAtpnzZQawTa0W7FrjlA5w+qL8h41sw4kPaQY7T6I36Xg7qZc/qw3uB4h7Gss7FoHVcna9Wtj8qhNeZBnz5SltTt4mKzWptbY/iDjId+5glb80j0d0ztnU/WPvs56j0DaZPXBIglKzl1zYs+5KyT88xYtOJ1MMe0t3Vsq60b8M7PoXFaODaGbYIfwUZSvl7w8cQTT5ycPZ2MDZxz+PUZ3sCzgfftO2/e8+07x7DNfCf9fJg/ZrTgev+Y0dsefe/u//u5R68+tHnAI/vgzg+K7kOooh0PIR4q9cOEh6QPVsjxjE1/zQH4YKgPMMaxTb+w1Q85J2NVMrZ08+g45BvMMetf65N1sa9jlVfqV1/A+JbvzgbSTuhb5ct5HXeMvjpvSBvH0wY/Ka9iCueHrl211aecxl/66mC8zh3sr/PrSN8rf9Llc5pY1Xf1d5r7Iqnxt3xkvqeNm3EO1UB/mW/GPWYemaP6GRcydtXNPCTH0gYyJ/uzNp2cm90tMn9kW/sqfgasOGZ8tZnOnOs8Op1j2fLlxv96qHP9LZ//a3Zf/Sf/9O5XfOInn/TcOBlDmfb+Sz++77v/Fv3hpovK/DGj82E26QtuZJP+jkcfPzl7iu6hKz48eWilfIitBzrgi7fEdTxj4KP7IATt1K/9Z0WdR+a0yr3LN+UEH3Wekv5r7Q/V13FY6UCtN6h/mvl0uXbzWeVdbXI855JUH5Uai3PzXsXP+lad9LflC7Zq1+VT6XzKVq2SrRySzj7n2mF96hy6mmRt9Zuou/IlxpOVbmcH1X+S+ULGcezQPCD9HKp/6uqv5gFdLh3po5OhxuzqdijG1vhpyZoeg/qrDfmhTXxtV5t64nRj2b+SE/rZpH/Fq/7k7td8+mccjHsekMPu8Yf38kOP/8h+8w7Ped/PXr6aT+7lO53ZpJ8P83WXc4AHsf+ZlLY+tHnI0SqzkebBzTkPFuUObXgo4LfzvX9gXAZf3cM+YzDOA009P0zSTn3o4tHW2FDHsy/18Jl+wXjVv7WSTsZXV/tuXP9Qa9/llfk7ro5jtCnXeidZW+jkjCHa5Tqj7daFrK4jaJN1U8e5dNe21hiMUWuR6xzMV+g3vqx80a5qt8qnzg/0l3nAqlYZH2oO3kvHxFIvSf851s2zy0M7jhpfOl/apMzR6UJnZy451uXgHO3PsUPzSF3YWgPq1njJKhf767pInU72POny89pxgC0wX8fUOy3akj81YoNe77UV6tPqI1s3wOpwnhvj2l/tbVf+6Ze0z/4KY3ffffe+3cr9etpjIB6/OpLD777n12fqd9/vxK/PzHfSz4ep6jnAgzgfFuBDEw59qCj7oMC22m99j9qYW2Q89e2zP+FDrH54QJ0Lvuo4/rA/lD8tZA7Vv2N5mJvn+DEXSf0cT/+gDlxv/QVZX7TWIGsBmb+yLeifNkGfObjOuvVWbfRLf9WhtS7g/MF+bbIvISfn3NXCI2OtfG75EsZr/XJO+uDImN3cKl2tIOND5qCfY2Lpc+WfPjD/nCd0eTiW8ZPOlza53iX1lG3BvLVJnzUHdcH+ag+ZU/rodCFzS9ta92Oemat+6WqUfdo7bj6ZH+DbfvRtgc2toAfVd40jq7UGyI4bT/vqR+rGmxaw1Rf93YbcjfuqRY82/QK2suqvPPe5H/i076RnrJxD9te207tR8JW/OtINfP3u++3+j1fnO+nnw3zdZcGNfN3l4UffdflGu+/qAxnyIUh/PqAEHR7k2d89PPW7NZbo1wf+llxzSlbx6lxSr6sBfch8UGCT+qt8uhjq6g+25l/tq271aV/FMT40av6Mddc2qfpSc0o9awX0d3mubLfmlH471MU27SDjAeO1zqvrVvukziF1t+qqj8yzxqmkzYrM7VCtAP3OXxcrfSfoOFc2Cd21qzHoP2a+6GzdM/Z116jTg7yPt2qUNhlfzE25xk+qLnIXWztzr35gNa/sT9QxbjcXyHGouSRpX+2kiwGniZOoh71rLWvOGsxN8o2SG/e8TrnWr6fFF193edUf+VPXfN3lGLtK5rI1924ufh6cFfftHt3d/7637r/7Dhf9++/zdZfzYd6knwO5Qc8Hpgd9PFTz5ubhANkP6PPhw4NUe7HfFvCNL1plwK9sycROH0mXCzpdzh5J9tFqk/1dPlUG9HlAAjnow1rS5zygzo15rPQSfK7qX/PnwFfNtZL6SZ7jJ/Uyd8g86QfnA9rB1pzMU9/ai7qMZR226pc+PT+0xj2g001fxqOVtLfd0gfnQ/9KB1/H1gqMXdFP2tGX/j1n3A3CP/mub9/9ps//1btXf+Ur9v3oQebA8a1/+5t2X/S7fsvui37P79i989FHnjaODNREcv5CfOiukaBvrhzqpQx5L4L61iHnDZlbvXaHdGtsMaYg13onOU5s4zsH0M7nD6SdPjNHUKf6A31yOJ+t+l1vnEQ97PmvDL5BFua3ZX8szgPfNQa4KT5tqy/88yYdOGc8Y9lW+47UAXOvbfqVlM+Eex66+vY9f30kf3mVgzfw+TUa38TP74G/s5g36QvO6k06N7QPUR6sPkAq+SDuOHZ8hbkYfyVD+iLnzB+ZB/vqgYRtnWfXl9Txms8W1jfrkvnXXB1DnwcuY6l/PfWv+SeO1RpuyYdygKqTY9XvVi2xw9eWPXLVqeeyyh3UTx36unhS/dWY1bbOdaWv324Oh/JJm5VuJ6dt9oH96tj/lV/6+3Z/929/815+41t+ft/WNcsG/Ssu68Ev/eUft/vG//Uf7evAxquiX6n5KHd1rLbHkP63ro2+u3s/9WBLF9A/Zj6Ar9TXd40J1WfqS/pdoc6hHCF1c/x64nS63fOzA19dDtit2sRnLXjdcsPczb1DP+kP8k36MX4AHzWHbNmEr/QOxaj53Sp8Gw/1jfyzd++9fKXO+B+1vuwVJ8JwVsyb9HPADToPKx/CgNzduOjxAFTmIUab4G/1doRzxvNAF5+eo2P8lSzaQM2ffnV5EJkPBzKk71Xflo0ydPq0jpmTfcC589eP5Nwcs48j55R04xyZ/7HfU5dOJobUXMyh5pFjUP3WGiTabNmLOurlGlPOuZubdDqQc+cDUNk44HwzJqzmqv8tfaD/kE/6PSDlqisrubMDfTLPrNGDz3veicaV9er8zPnNb37T7lVf+cp9332XNxV/4S99/d43evjLuSHX62Jc6w7ai/raclQ/K/AN1ScYWx38HdLb0jUvYExWPq0HpD44fmhdVOizv96jsvJXc4TUzfHriWN91KN1Hsh1HOwDc7DP+q3aBDv6yNXNb33TLc6HtqJe1c836ceAjRvxzMGW+8EccsMujq1abDpSR1byWcA/ZM3vw+cbef5Ra30j/7a7P+6638jPd9LPh9mknwN3Xb41eJDx8OMh78OeNsmHnQ9SUGYMHfXYBHZjPozV40bnQYMufYCOeisZ9KHdVv7GEB5s+tPe8a4PctxWWTp9ciQfdckP/+ZvrYxpf+qk7MMx59Tp1zkrm/dqzPptyRxJzSUf4Ksx/aTfJOfSyVt5oZOQAx9e9Ne6uBaSQ7UDdDKe+WlrS592q7mil+tA/ap3jM/MRbmr1UrWD3iefZI1YvznfvZn9jLU63/p0qXdb/+Nn325vbIh4g36i170kXtZcm7pm/yrv1UdPdcW0k/WpJP1m6iTOXQ16fSg04Ws3Wo+Umtd9bJ2jlef5kebMtR6p44+uhzTD8dW/WiPiaP/1Eu6cXxAPtcFPeN2bf7QB/hyDNjE1msq6LhZJo+VnqD3Yz/6Q7sX/aKPfJqudaj9xqDf8dTLHNywA32+TT/UdqSOMYkhKUvmnvJZkRv5tz37467ZyB/6as2lZ73g8qqYv9J6nszXXRbc6O9J54HmQy4fbkA/D14eWlDHQdtEvRyjjxuXm776q/3GPDRe6fITffDwAufmg8gHIXLXl/IqT0j9WtetWlXfK+oct3xC5lOpY5nvSgbOu7lXvWQ1Rg5sUPOarq5vUvPKnAC5m7Ns1UVSRznnXGNCnR86Nddj6OJVVj6tqdT4KznJ+OA8qx6g++r/+Mt2X//X/vL+/F/81Luu6uH/lV/0Bbtv/7Zv3Z//sT/1X+9+5+/6osu9ly5rXPuP1itdbvTV8y438+fa6ecYMu96bfN8Ja/slTNHMLfOrurCaddFvY6V9KFdwnjNMcF/XWuQ80jSX9L5Tr1jxjNmp39a8HeMH/M4pEutPvljX7r7xr/9HbsPf9FH7PsyZ7ievHOtdzjO51purrO/tiu9bnMOWzkwtmW3GjtLiHOVxx/efeSLPvzkZDgrzv7HsuHy4+GpN+kr8uGBbv1pn34OHjT1TYtj9nEzdg+j7AdlYhFzNZ7+OXxYdugjdThP38g8ZPKtZtqt8jBPSH3zSqyTraRvbLKeXW3FGCudzAdovYZ1TF9bstS5c9Q5gfFW+ZMD/fqDY+tAqwx8iHjuvIxf5VVdUq9bB6AeGDNzcQzImVrnuBjnmg+QE7p4Vb/zCdhu1WolJxkfsrbmYU58OD/6yCP7MXANMPa1r/2qqxv03/cH/oPd7/n9f2AvP7m7d+nPOXa5dbl21yWvr35Wa6nWSvRrf9ajk1f2oFznuRW36tKedl2kPn05V3W0X9UjdSvdWpMu7lYcyLnQ71HHoI5Dt07VB/o61KVVJrdK57PmsIJaSc4h63SILn+vMT5rbpwDn2vcp6njxrtr1QP8Y0+rbW217dCfpJw1uVHSb4U45LHnnoeutMOZsq7+cN3kmyxabzofBPRx+HAFHgYseB9WtByr/vQH+qwYhwe34z68oI5zdPmu4oJ2nZw4luMpb+UJ6tQ6gHXyoZcYB/2sJzIbxuqPFlK/I/OB1DWm1JrCal0AviT9miN0/ekfzDGvLzraptyBfs5JX2CO9OcHCeeQeQoy4x5gm/4yH+uU196cc97K0I1LjQdb/rSlzfV16JpWe8nrkTEhc6KmD9x398nZbr9W0f2H3/Z3dv/dn//T+75P+dRfs/vDX/Wa/ZjzWvlDXq33lAFfXZ0gx9DP2nVyoq32ylmTKnd5pQ5Hrr+tuJDzSXk1Xn2JPutcOc/6Zz2OrT/t1rMs4+IzdQ/lIq5VyLHuucRY5yv7lGmrrtQcOp+QvqTmZUu/pL11qnbQzbHDudf7Ps9Ze6lTW8Zzo05LbHPQ3xboVfQn5nMaiH2Izm/amccTjz89x+HGmU36OXDXyZt0YZH7oMoHQ/bzMLCfRe8DJrEfqj+OTgbjcK7f9J3jeQ7pB46JmzfwsX1wKE/I3CBrhV0lY6U/ZY70l/NjI6A+6ItWmQ9IbVIXUr+rae2zHubFJqTmAKt41b9kXUH/VZbMu5I5py39ytqlXp2LMeqcHU+MWWOLfZDjNQ/nxJH5KEvnD1vQJ2Q++s4+qOOgTvpSzxpwsLYeu/TUH2ghxx/+5z949Te5fMiHfNjuL/21//lpdYXOn0eXHyiv6iT0o7O6p6os2ulbH5A16WTYqiHnq/vFWOqq1+mb99a8aZVrDcSc7VeHwzHoZPyC+UrGhPSZ1POai1hDa2G8ruaOdc/bbg6QcVfXBlIvqTnUvPAH9EvWRrr51D7tgPE67yTjoZfnHYznhj3PadngEr9u5GubEBcObe5zXilL5t6Nr8DOupkf/xVvOHuOvyrD0eSbdPHcB4PQz8Fi50GGnG9bAJl+byhtIP2tZEgbYqV/yHHw3IeD5+psxSVPH3SH+ioZo8sTGPeDRR9ZK+RVrM6nvrJNm+pLkM0Xm1VsoE9da2ofZDxgrPZBFy/7IXOUHM8acGzl3dHFB+2tozHpdy41Rndd1KEVc9eneJ4xza3mkR90GTvlzh9YD89F/fS9ZS/apey54CPfpPNh+OWv+Hf2/1CU3+TyN//Xf3RN7pC+9FfXPP2Z37F10g/UuLJ1Hbd8g/E7GbZqSAw3PhV0urgrfXxlbs4DMoeav5iXuZ2m/mAMz2v8GvNQzY2R/cIY/vBrPFDOXNQ1xmoOKXOgf6hWNT/7wRwYyz79MX/pYsAxvpyXfdLVTXJdgddi1RKn9uGD/ty4Z8s4937aSfrpWuxk5UOIlXQ6aV/z5Fc6DmfPbNLPgcs/p1+9qb3xWdQ+eHw4JCxyHgw+PPIhYb/okwcbujwQO9k46uvDWGB/6qSMbvVzKK4Ygz5sgQcO56mX8VLeytP/xMs56K/WDTJW9cl1oa8+cNIG0lc31/QLnX7Oy/5cF0nX59z1kfOgj6PLLe1glStk3vpIe+X8Lwjpmz79q29OkjFklVPGBdqaS15D+pTNUVv6u/qkLDkHa6GecWmViZV+TmvPHCr4yDfpX/7K37174xvfuJd5g/6LftGL9zI+bKtfWnMBY2V+KQPnXZ3ST/YnqQMZ11jY1jUBmbOydbF+xu3GK+nPuB70VdSv84acd1cbqDlJ1sRx+8xN2fz0bZ4Zv5L+IWNpX3Ogn8N80q/9zrGLia/VHFKGzocx1Fnll7VGNtf0h63U2hsn7fSZcxRzyBg1ryRjA+d+htTNtxt6+3hmuAHfgnH19Jnnh1qpY9TE2nQtcSo5H3Vl3qSfD9eu6OGGec59z94vVh8CwE3ODcm5Dx/lJB8M2PswoQXtAJ/cKPR1MlT9pD6AoJPxcdq44Fw4uJGZA3JXB1jFPpSn42A8a+Z5xb6a8wr9cHRzFcZr7NTPvO1frYtOBn3QZ4x8EGdunZ1knp28igvIxvYcsg9y3JzUST2hL3OBjLvKJa9F+jWOfczHDxjwwyjnSivYkU/VgZpDxpXT2OccQP38PenPetZTv+rsf//ubz+RrlD9Ett1gR/zy1j02Z8y+lmnBJ1uTrSizuo6otvNGd3VWhavGeR45qEMxs1+Wljpd3l5ADluPcdWdYMcT5/KdU1u3Ze0kjr6dO7S9Wc++oWu33j40dcxcnefQZcfR7cGsFutSfzLMXPhnOtX/Rk/87aemVfWYouaaz3HJ336tU61ZRy9zHe1IU89+/WTY4dabLtcslVXbvRN+sMPP3wiDcls0s8BFiuL14dQ3uS04BgLnhveh4o3f94w6oI+9LOSpeYAxuKhTh8Pok5Om/Rj28nQzQV7ztHL+aTfLo9VnhyQsZR5AFMn6XT0kzBmW/V5KEHG7si5ivppq8zR1QMO1ckciZn9SdpxSK6rlQxd3PSjX/usl/lVfcdpOzmvXfV9KBfofOa1S1Zz1R6qTt5/NYcutvNR59ActJP8Pel/5s//ld3zn//8vcw/HP3e7/nHexnSr/7InRiSY9LlbP+K09SNc+Mau8tDzLm7tpCx63iXk7HU7XRg5dOauIaAHNA7ZK8tLYfzSlIHutoy1vXDsTU3jnVd1Vi/q/6cD+g361P7Vrl3+dFa36xXzQfMgXtM8l7v5oLskWR8Zfziwzjm1dWik48Fv7a5Sc7zJGvtuC2xGafNcfzl2KE2bdNH/jCgvtzIm/Qnnnhi9wmf8AknZ0PyVIWHM8PFWh8GLGzI/u7hlXCzq8+hD/CGWj0c0Ochx8MudYBY+KKvkxNj46vG6HKAOhd9KJuX/V0ePCR9QNCnDPkwyVjI+NNmpaMfdWjhNPrVVpwfY4dqBrUeK5kDG/PJHLNftOGoMYF+qfJWXOTVnAC9vHagDWTeVSYWNl2NulwqjPMhIis9QT/nCpkTpE7OR9/HrEVA9qhzWNXnQz70w06kKz8g/I9ff+XXLsIX/97fuv+Lo/okx6yZMRiDrOkqnrI26ulTjHeobluxqwy0+Kl1cRyMnf3GypyO1en0jQuZT9L56WylmxfUuukr/UPNF6ot/Y5BXZvEJ3bmItoSwzpkP2CXOvbhq4sl2mS9aoy8b1c5QtoAvqSLmXHg0H2QuRijQ33oZH1n7GPJeZivLWP5bAXH3EA7rl33xj3Ps7/apo+Mu3q+Xw9f+7Vfu/8q32tf+9qTnkHmjxktuNE/ZgTc4CxeHkzcuN7w9nlT5M0lVWdFPgB4IHW6x+h0rHKH7E//kg+39APKp8mlw7jEWtUwY6x0OrZ8dnTzq7Xp+ukzhn053sm0h0Av49kHXa4pV33jdrnWPuqdD3xRH/CXte3qDF2MFeaX+a+un3qgfOxaxF7/ibnWuSXG3pqrqPdFv+d3XP196G98y8/vf/j5K3/pz+3+1B971b6PX8H4N/+X/+2qP/0cGwdWOXc5HVs355rXo4udVH1Im5W/VT/nqZPz63RSTvS7Apst20O13fKfuUnXB/RbC0gZDsXJOhqj1i1Bx/u92q1i5XjGyOu3Av2cU+r/kl/0gfv7Y5UndPNLuvheO+cIWZO8tvU6Z4zMu5MPzV3YLHdzTDLnzAdys53nqd/ZwVZs5/ryF33Avj0tL3jBC3bveMc79v+l8O1vf/tJ7wDzJv2M4Tvplz+29jI3C3hDspCzjwVPnzJwI1SdLbi5eVBys690HUfXmMTIh4hx6at5Jj5Msj/9K2/5QTYXyNjS5ZPjgA8O+rtaZYwtHXPOeWzppw0y1PmJ+hw8+ADfaWcM9TqZeNTANmtxI9duJUPGhZor1D7kfMMijHlkbVOuqE/d2JzWOaYMmX/1u9JDJkbG79ajoNthrjUu1Nhbc/VwzvkmnXP44lf+B7vP+XW/YS9/3/f8k91r/sQf2cuALWzFybXLkTmbq3PfWuP0Y3Oa9ZexU4bUNz5j3Ths9TuWOlmPqqPc5ZfzMq8k/WzVNnGcY7XeOGe8Qh9xDtUc2Rid/sqWPuOae9oIOoxxvyMzD+YOnT6YT8r5XDw2R30wRlzw/qiom7Whr17rmi8yNvhN26xJJwt+u9idjH1Xr0r673SphRvwfA67xjinv55ny/Vgo66OLdgC8c3bWl4PvD1ngw608zb9WmaTfg5cflzt27wZWcAsZPu8efNGBm6SqgN5E6cM2nh+aByMoV7GhczBPPTLPLI/basfbnh1rYF2kjaH8nHcXHiAZC4rtnSI5QOKOPju9I2Z+aVuzk9bxgWbfJClnmSMlM0xPzBqLqJc80Df/DLXLm9J33Ws0+8wNtcK0u4YH+SATjdH6Obb+U291VqEnHN3LTq5m1uSsZOVL+ec30knX2AN8P30B55zZXPD99O///JmXR/OrfLTP/Wm/RvHF7/w6W+7sPFeytq6gXJeXd3q+st7PvVAXfJMOfWpAVgPWujmlXaQNsrdde70rDv3GX11XsrVLmWujTWDzE3Udc1knPSHHeegDS3U3A49Z1dzAeW0JVb1kTmae3I99cq1ztHZg7J6guzm3LVhjWxBu7Q1X/Qyd3OErGWta/pLGXJ+jq18aVfj60M5oR8yDjCPbIXzXJf1PGGsbtzr5yNk3nXdHwvfRf8v/ov/4uTsCvX8mc7T77ThhuEGZAFzEyIDC5lF7k3pjedNmGiXOuBNDCmDN0ynC8atcurRZ+zU4QGQfplHRV1IP+oyj5UtGK9+wGU+kPnqL+uYshwaF/rMwzmnDRDTca8toJPz04b8tVXHuWzFkJTB/CDHsk7KnV/rtZLNJ8mY0uW+ksEYyTE+kpxblTlW/rT1oK/LJ0EP0JMtmQ+pY2Jnjo7lmjcv/XRv0rX5ur/+Lftz+LIv+Xf2308HfQh+/tbf/Gu7z/60j9mf8zvW3/pzP7vvJxdIG/xbW+cF6FffkjaO6582QZdDGTv1jOFYVxs59v7pro1jUn3X/FxnUO0EGZ1jc+zi6Y9z9FexIHPLmlffkvpVznjUy02ZqAMr/1D9wmoOnZ9qX2VrCbb0Q94fgk6tv3aArvrKq/txNe9jrnHad74yD8Yk5YxRdbq8KuqYL+f1ebTC8cwTPOfg7ftp4bvovkWXeZt+LbNJPwe4aVjU3ATIPmi4IcCbGLzZ8kbRTpS5EfCDP28MyBssdXM8b3BkclFHPTB2+sx8UnflF7DxjRTUOJ0tLXarfPSRNQBa8wNlfcLWuPF92EPOGZSNmePaOiaMd/nLVozVdSZWd+3SV/XLh07qdnKtU61NlVe5QycbLznGR43NBzFjmQMyrPxVH921cqzTy2tRr4sHHBPb/HOMvNM36LO+SUcHG/z8yk/+tN2XfOlX7sf4YHvVV77iam7JV/3hL9/94f/oD+51/ZrMB3/Ih+7bujaEnLh/wU1Lp5doQ36yqkPKzCXzyDj4zJon9Xp3Pjy6a0P/yndiHPLVX9pt+ag5ZuyKvnNM31s1OPY5CzmXlEHbGkMf+dxJtmKof2y9YJWjMhAP7Ad8moexQRtwjQA6qa+Mv8wTOD+UryinftpXX8bO+maN1NVvV8vTQL7e2+Zu7fz8BvISc8hcRT2fE6dh9dZ83qY/xWzSzwFuHBc1rTcFLQs6b2L18iYH+rlx9MWhLX4q3Dhpg643FKT/9MHNho43GhgvOa1fwU/G2LJdkflgv4qT9QJ9ar8ah2N8agfMiX7GV7bqK69qXWPUOWoHXSzBVtKv+tY+4+v7UG0k5bQ5JBOzi79lC11sxhxPGZAP+WBTaB7m5JggUzfGO7leS/NYxeY8N5GQ8YDxzA3qm/Rq8+o/8if2/3gU/H66c6Ll+N++9X/efz0G3fe978m9Lm/SybObS0Ku3fpJueL8VnOtcsaoudD67OzA1pqnTnd98tpwMEb8tKOvm5c2kHadj0qNjbxVR3MHfW/VAPCbc9Yv4CPJuaQMWz6c72ljoJf2yN09SCtp38luCKkpOUPeH6mftc85QOrnJtM8rXnmmLLUOBx1DcKh+gL9eQ76BMfQq+tCn+mfdgv84iP3KNi5TsG8wfj2mddp36S/4Q1v2H3Zl33Z7qu/+qv3B7zqVa/aveY1r9l9yZd8ye71r3/9vu+Zzvx2lwXX+9tdHrv05O5nH750zY1TYWHzQFj9K+rEG8wbIWGMh4I+OEcvb0puNP0bt8ZTH1/cgMpV97R+k7QVcu1s0T2UywrjdPWCOn6a3Fc+K+bf+dWX89PnafMWYx26btjpAzJ+HTdG1mZr7ai/JVe25p8ybK2RLieoPipdTugesx5EHzWPQ7EPkbn9oS/9vbu/+7e/eS/X316hHl9z+S2f/6uv/mfjv/aNf2/3az79M/a66HCvsoEhzy/9ot+538z/03/+U23OXpeUnUfmlXQ2nUy8fOZtrSlI+6wl447V/noOqWtf6iWOQ5d/zbUj84OUIfNIVnkir/KtdH7T1tzqte9iJ/roxuBQjI7OV9bqNHn+4l/03P39sfpMVbfaZd5bdLlC5gMZBzxf5S1beaBfa7Hi2DwPgZ/MVZlnCTWuc1G+3t/uAte757rTmTfp54BvCaT+9MwC52azBfrVSVj8HMf8BI6eLTcTN2b6T91EO8al0z3Gr7nRJmmLzLGyhVUu6T9l0TdkzSTH6T9N7t3YMdclMXbOD8yryxlqDjWWdHGNaQxImxwX/Osr5UrabMl57SHjA/2OpVxjWx9Y5QTpA2pdGdtaj8i11tqK/mse+ltdS9m61hzk9zm/7tfv35TzNZV8+5i85CUv3v/+9E//zM/d677z0Ueu5oMfZT7k773vvt2lyz54k15zhrwuysbLvFbXUpkx4ok1yrd1q7fD1a/n2DB/yJiinqQfZOpN3km3LtJOzB/SxpxShmqrX33TruqIn6q7ikWbVL/6MGdwLvqwT1Y+wPNjYyRdrQ+tpUN56gN8k75aU8ZIu8wnWa2LrXxBPen0qp/Mw7mmDDmvTocWjL/Ks7OBbr62KZMDvuo49sQbzp55k77gRt6k/6ufe4Rluz93MefiR7Zf8oZhsXtTKWtXsX/LpsaSzo4P1mPf8Hd+M8cuJzlkyzgPjZpH6iRdLOeffcrd/I7NPf1Dl1POj/Fj4ssq58whWdUKjomNjvmu/CSHfHbjyHxwdH6PyTFBHw7VuJPBc+w7X0C/+aoD1e8xtYIun4y/8msewCZEqo6gm3o5L65tvkk3h0quAeStvLU/dt108YTxVR0g55l+OjvlGk8f3VxWsbu5ZS4d+K12mad56cdzbXxbCZlLF7fmjdzdaxmr+jF+UvUzD8hx6foSx7MO1aarm9RY+sk36bUWKzljr3SB80PzhswHql0l/SivqPPuMLa6W3lK2tR8bA/NI/moFz33RDo98ya9Z96knzEP3Pfs/V8crTcG5zw4eQABix85bwxt8gGRN50+uGmqv2oj6BEj4ylDteNGPPT9R+j82s8B1bdjh2wdN5/E8awD1FiAj9V4Nz99Q9VfjQH93XXJefGQk1V86eJkDvVY1QoYX8XGjjwz3+on37CoDzU3bLbGyQOd6/FHm1jrQz4g548M5pNvf2os81VOWzFPqPaysgN0D/k1jzyHqiPdBp04HNjwJh14k854zVs9fde1g019a1ZtVtR8jKsM+JHqE/vTXHuo1wQfHM6LsdoHxma8ex5mLlXmwC59dHmC+qCNb4RFP1BjQdWlv+YL2pJLzTfvS0l9yDxA20S/+HHe1SeY5zFryTjamiugS0zo6iadTKzMBzjvnhc1H+uS84QaRzt1aAU/xtCn16TKaatd6kDOi8O61tjaQ+arT3RtAR1qq4/qD+wbzp7ZpJ8xvEnPBZwyN2y9iSEXPzcWNwg3jHKiD3TTX+rnTQj2d7HV9TDXhL7MMecEp50Heo51tjmeOEabdTD3Lmb6yvEk/XJs5U6fR7K6Lplv5w9q/K2cHeeDSrp80udWbPLMD7fqJ+cCqVdzg0Pj1R8fiIwf8udc4Nic9OP8ofZ3uVQOXROpuW7ZKR/y65zBftrUAfvyEM/x/95LV/7QGr/dRd+Zd8bnnLVR88q6VRtw3lmDlCVrr2ye1aec9tpnnpkD89LGewnfNbZth7ngM2XRNz4yT32ai/Ed81jVIWMd0jWGeWHLDx3e89lvjlU/c0/StzJ+8z6qPjnMGWrcOodVDG3gDW944/4vVWIL2Gc9tmSvjweQk3L2J5k3ZI1W16KrBXKuP3To72TQFlLHPD3g0HXo8sRnrg/Q55Y/sG84W2aTfsbwJj0Xa124LHJuDG6QXPyCPjdKlRPtUuZG6fSzH72MjZw3GWQfBzLkPJCrL/slc0m55lltOacePCRWeaDDg43Ykn6V8ZFvwew7Zn41d3XTjjYhL+dT5wXop2/9QBc/9Zlv6nbzSFk9SV9ivh7degDHcs0e8teNC+P6c3zLH+RcIH2otxWTsW5u6QO71FMG/dLXxTAHyFw7O+VufTqeudZ8rlfGf34nnXydP63xxefS6k0ypI3xgH7pZOt1mmsoh+zMQx2oOXSxOM+5es/Rr0/axPjKxMwa6Eu99AU1Z/3Tpn0l43a6NUZFe32ActWn33nhd+UbGd06Z0i9nCekjrZdDPRck/omL7j77nv39xN92OoL2Wu6kjuMT5tyYvxj1q/jkLWouqlXZdDWvFzfNUf09Zt+tmIn2mgHK3/Iea8NZ8ts0s8Y3qSzWF20tLnQgcXO4vaG4rzTTTlvQmV/Agd0axyo/RlbGfSdfaCMj5pj+jLOoXmol9hnP36RV3lAzT1j6stzsW/l91DuW28SvCYp60ublGUrfurnfO3r8oHUczxl6PLlQ241L8b8gISVP9dkHa8wHz4ksYMtf45Vf7n+YOXD8ayXVB+wqqVt9VHjeB1tIe2Uq58873KA65XJBXiTzh8z8vekex1oaz5dHzjfeq+A8ejP9Zxy2hy6hpD1VT60HvGJb685R+YA1SZlMDdRrrnUvLIG4rjxU4cxyPVJm/bQxcv7o5IxHE87Sb+Q61ZWtcBvravot153bXMuXcwu/7omORftUz91V7LUOuT16HJGPrQOQd28VodqljHqM9UDtnIU/RjvemIn1R/U9TGcHU+/AsMNw2Jl0W79pM7idoGz6FOXG6PeLJA3gTGg069ykrFt0zd93IDczOriI2OK44CO8zhNTqmbdHkknq9qIbWv88tY+uG82jimDWTdqlxr1eXhUeN3ZFzams+qVt21gJpv2nVjxtvyp479qUNbwW+nCyt/iTkfmiM6fKBu+Ug5a4lcfa/igHl3939dA7C1LoA8aj6nkcH87r7n7n3Lm/TTUudb50YsD3TVqXKdvzZwmrVq/FX9IHNkQ5NrQP9VTvCzqiV0eXmkX8fNRx1y13etT8ra5IYw/VXQNe/0BdXuWL/pE5kDv1V/FSvneiimOsTLGlTwKVxbyPmmXbe2UgbyAGKbj7mA44CcetDFgJwf/XW+gr9VXdI3HMqxi2/s7j5QTw7pZf6McW2Hs2d+u8uCG/3tLvzj0YoL2RsBmRuyu1nRrXATcpN0Np1+UuOeJgdv/sS5pC19qXtsTtiom32SeRh3K//OV/apn34rjkHNyRz0k9dkdX2ky2OFcbbmWlnNKecj6GzluzWW/vggrTpdPKjzUe7IOaS/zge6qznKIR/Kzln9le8k4wD6tU/01eWe8aHL4TQy/v5/H/eRu8fe3f+hEX5t41/9hm+5Ot9ai1oXN0L4TzrbunbMTbpYOYeE/mPWYxe30vlPurzqGt+6562FfcarNZMcRzZW5pn1ga4Wxk299NHdp8lpfR6aD1SdantMTG3sS5nxf/Xmf7n77b/xs3f/1//7k1f9ZA6drxU1XzAf8+xyTroYnd/EGFnnVW2g6tYc7ZPVvCpVr9OB1EOHc9r5Pelnz2zSF9zIgvmxN7/rRHpqkXtTVbqbR/jJmV8pxRs50NfKJvVTXt1o4g1Wb3zRl/nXueQ5svnCsTmZgxyqi5sF2KpHbiq26pdzzPGaZ861+qz+Oe9qmj5r7Tq50uml/9Vcsv6Q+VabOpdK52srl+6ai/qpW/ORzscq3ml8JKmbdL6dfxfLOF1dAJut9VljXA/4SIjHZi2hb2u9Sc1L/ZVt1WcD4XxOsxag1qaj6nC+VXv9p9zlVW0zTpWzFquYXT5bZE41JtS44FidW+plbU7js3Ij80r9LiZkfgn9xOYfjrJJ/z9/4CeeFj/tHMuapJxjtUaQedQ4ldP47eq8FafWoua4InNQbyvP9JV63Vy8tz/mZR+877seZpPeM193OWPyt7twuNDzJmJR80FZbyj0tQV+IsbOc/SrTZL6KWuXcbsczDHzR+ZD3DFQ1raOmS8cmxNxzEe/xqdNGT9puwI9dCR9V8wNiMODCNQ3ljr2p8+UJX06j9RzHDpZ3UM2+oc6l9rvefqsNnVtVKovOBTTeLn2Mkbq1nzo40jb7vpv+chrWvNIeUXnGznHwFj6yn7ngcx9ZWz1M36NoZ3zgK4vwYeHPxBkHwcxzdF8tuqCjfqwshX0+XD3OULOjFf9apNzr+Pg3Gk59JWYW1d7/Wcs43TzkMxFGVtgs5LjSdat5rOSc13os/Ov3zpW52Z+kLnAMT67HPPzoctfqm2NBxnTa4BNrhEPYH7itce3VH3ImqScY5L52KYvwLbOm5pQa1n5hYxxTJysBdQcQd2sf+ZgvlvzT/vUSx1iImffcLb0T/bhusnf7uJN4w3lOTcvN7E3ijcU1IWedtww1YY2Sf2U0fNmSllSN3NAdqweQMtDwwcqrWNS9ZXNg1rwIW4+zg3MBZt86MGqjrSgf+Mdqp962JCL+tmX+cOWz9Q1D2qkT8ezbilzpP+VDVgn2eo3h5w7pM1WXQV9bVLuYjqGD8Zdh9Vv6irndde2ykn1AVW35oF8I3OGLlbq0C/I9GceHejkmlG3W5urnCVz6aj5bOVmXrlWj5mLBxzS1z96HPXaAPZSfWWsqgc5nvKhvKDel0Cu2mS+yVY+UOUuh9UzgaPLyzHQX/YZs9p09YcuX/119+rK1n7j6oODPnTrZ0OF+UrOLetQ44BxqgzIuba9/6ovZag1wa7mXH0i20Lnu4uTftPXIV1An8PrhL59otzFcqzK1Nt5DGfLbNLPGH+7i3jT1IcJC7ve2JCLX1tawK6zqTdzysZNvylD6jrmA0S96i8hLx+k5JTxU662xjJG0tXDuslWHYlXOaZ+zhtSnzjdnPgQuR6f9Ev21fHMAZ/WMPWskbWhD12vn/1SfaLf2agDK/2Uc/0Ys+plLWDlN9cK+db1CCnXOOkj85HsU+a4njkn6RfUM/c6j6oPGQe8XthhT39eQ+zV7XKGbOsY6Fc5r+WKXIOwpW/crFfVV0d/OUfoZOy7tZHxjJN66h6TF2zlRj9+eQY6DjlOvz7MIfNZyR01duZexzJu5tblkv20q/rXHDNPbLr8V7arXDvfgo4QT1Z1ADal+so5KqctaM/4qg6gXOfVgR/XiPJWnqs4lZWP1M05AzZec8hxDueSVJ2sW81hODuuXZnDDcObdG4+FjiLGFi8LOIKOtwM3EzKeQNAXfip602YOlWucbmp6o0GqUu/5yudLVZ5pT9ayZwAe+dZdTu2auK5VF2O7u2PqJ81kIyRB1S96lM9yb46rryVGzWytqCufbWGxjhm7seute5NtGOSMcwBVjqALz/QYGsNiz4cT11a6dbeaeaceR66t+hDXr2xrzYJueCDfvMyV2xWOXOOX6i+1WU84yEfUzvAB0c395RBv3DMNQR859xS5sA2/a7iVT3jA/3Xe00g/dpnfpB26mY+nbzKR7rYsooL+oK0rc+BnMdWzWtuOSbaVdscWz2H0r8y+kKfULMk885cgRhS8xVzUz7NOtxCn4CdPjiyLsawBeeQ84bM55jnMP15jt3WZwFs6eDPHIezZTbp5wA3BTeKNwGLu4MFnj9Z502TttVeXewc92aucmUrjugT/8CNaZ8wVh8E6iNv5WJMbTKn9NP1Z6yUu5oYM/UgdT0/pmaMq9fpG8f+lc/Mp5PZQIh9nR/IGkFeK2xhq4bYZ66VrJV+c171MD4Yl/MbqVc9r3M+FKfTzflnH7U/NOdVnlt52Sp3epA21T/UPmLyDPF5kzmra9v5Rr+bG3De5bZaR50uZFzZqlXqQV6PlKHT7+JVvYxvv+fQyenDuec6sC/vX23qmrF/JXN0OWTt81pJzSvjckDOB9Bn/dQcpdYc0GWe6GZukPa1JoxV/0CMVfxaB+cvb/6pN+1e+vKPeloturz1RYwunvkaI3NPf9V3N6/Ol7JUm4QYh962S+bD2Oo5bB+t8zcvfGR/BzrHXKfh7JhN+jnAYvWG4PDG9GaouNhpWfzcBNrygOjsHAfGiMkNlLJj1b7GyRtViOv4MT+ZV7nLBTJvbdCrfdL1r+T0DdYOOr/qEj/f1Hagy7h6qV/j0O/cb6R21eeKvJZpm/2wimmuqxi1VjVHWtGHNhzVv3aQvjq/KSf4rfdK+hDHVrXAJvtq/pB+uxhJjcVR72H7U6/aSNpydLUA7ThqPKDfGOkLcj51bmmHDOgIsv1VdzUncdwWVnNMHylv1db+Y32ucldOX2Ctuvs/wab2d9eom0vmwcHmS9Jnl1cXVz8cos8ud0HfmkLq6os+IO4qH+eXMtB2z2Djuj7AeiT8Fd0ud/TUVeYgXs7BfMB5QOpA+uvWRcpQfcmqDh2MZe7dPCFzUyftcn1xOLfMK/s9z/xo8zo5Xq/RcHbMJv0cYLFyQwjnLGJvhu4GVWZTlw/ivImqrjHy5kxZqj3ol/MuRo7jz3FQpt+5VdlxZci8HdOGfm21Ub/zn3LVty45r06PlsP+pOok9bzGsfW4ntpB9SmZG+S1Es7rNaxx9JuyZAzlvG7G6t7qQGeT1LlVHcdBueZT75XqQz3arVqgU2sP2ueYtknGgXo9cn2gV9cnetVG0hbSD7oc6RNqvC4PUM751LlB5ub8u/UKqZsymGvm4wd+l1edY8rdPX7MXLd8sp7US/uVL+ee41kP/W7VCcyj9jFH+xgHzle1rznQdvnkWgF8rnRplb3fqi7Yl2OZj/nn8yLnynxWZF0g7/kk52W8bh7oZZ6S+a5qnNS8Orn60l+nW/NUXuVQ9Q7JmW/6zLxSlswP8CXoMl5rMZwd196tw5lQf9J0Ebv4czFXGR1tZWWnHg+d7qYEbDt7yLGqg30d50HDA8f+nFvKkHkoQ9XhnIf/sW+mu1idvphzl4fYv6XjOFiTxJpAXg+g/zS1A/WwO5QbqF9lQNY+Y1a/KUPGyPzQcS4rX1DnJNh114XW8dRBhpqP8aG7B0A9xvEl6DDm2qNd2XdjnV7iHCTnkDVJPdq83mL/Vi1qnTs9qL7U6+pXc1CX/i6mpC6tc4KaD+BPm7Stc5Qau9MH+g/VTZAzNlS5q5s4lvWDmmuiHzed1gHSLuOhk89KUUe9rfsBW/tyvNMV64Ntfb5B7av5APXp5rRVI0HXGqcufWK/Oazm0cUyH3Pimqzu+yTzqjIH+jWmY6kLNU/Ha3xl9eQY2dj5PNy699UH/Xgu1d9wtswm/RxYLXLwnAXNTVjlxBuGG6CzEx4A3U2ZN15np/9OB5m4iXHQBXOqsnQ5pY421S7n41jqVZtOX2pt8k1QzneVq/7sy3p1MmRM+09Tu/RX8+9yS31lr53Xsbv+nV/IGJ0doEMsWdmvWF2XJGvG2FY+K3/q5Tj10Uf6Wdlz5Fgnp6/V9UgdSV2oedZ+zvWzqoU+uzlC+pJav5qDPrt5OJZ6KbPZqfVMO/KU7EMv57iaL+i3jh2qW/Vp/Prsg65uUutX15/on1aZ+pjLap1I17/y2V1P7NGBbhxSt6t5ztW4tS/rxzj2jBvbPLvr6RhtysTgBxRkoQ/uu9xvTP0dmgd0sfCDX3OWOmf1rTXn1gEZ8JExtam66uXhuHQyeqv1nDJHkrFXcXKeq/oJPrg2w9nz9CfRcMPkgneRu+DtQ4eFnbKoDznW6Qo3DzcRN5M3UubR2aHHh4mkzlYc/fMwyxs556he5oScOpA+kmPjyMo/ZB6rWqaOsY1rP9SaSsqAPWS/fjK/bm7Q2WWOW/rIzItx5fr2zTl2vh1LezBe6oH61VedF22S+uZb9fQN9Gc+lcyh6lBn+hnvfBhnZZ+5djK5mT8QQ4yX81vpAn6h63cMe8a7t33QxUzSl3Cec4PM4VA8qTK+js2z9q3k6qvKSc6Vsc6n9yHY12GNujhZu1WegH9BRj9zgc52JYM+8eUzHTkP8848VzIH/le1YByMi2725TzwCcbInE+7nsA4gA3U76Sj44FO5pQwvvoMBMazLlBzM47jysc829GzJqlHm+PHXKMtOX2KPpSr71VdOn/2DWfPXe+fv8PaciN/ovaHfuKt+0XNQmfhsth5GAE3Aef5IKjk4vcmOhZttTP+VrxDOvgkb+YEysTIXCXHIXNS7nysYkDG4WGylSusfDGuzw7tM652xs16dbVDl5hdTfVfc6rUHM1DucLY6jqmLXDexa9ypdODnOtKRzIubPnM69fNC7DZ8nm94KPaZ1+VK4yt1kYl4zDezXfVDyuftb/WtMp1PplXsop36DnCpoWxtM88t+7rpMbXLvvr/LbyEu1z3vSt6gZbtat5yjG1WtmuyJwPkb4zzyofi3Phz8LXOdVYUGOkjjC2un/yGqD3/d/zT3Z/7s+8ZvfXv/HvX+1Tb1Xj9GMeW9ek5lx1V/G0S/SRdHqZX8avuWxR/WbtVjKs5gnps9q9/EUfcCKdnhvZc93JzJv0cyBvLGQWuIvec8a4AWhTBnQ9up/GOxvRTrjBurcV2tHmW9ZjfvpPmVj5EzjkOGROVYcYnV31kTFq/ZKVL/vxs6oFoKcuKNNaI/x1sv4g+xP9ZX705fwyR9EOqj4HulsxGa/5AX36gJRzLUCOgXLGTR3azBNy3lD1Oz39m/9qLqKPWkNY3U+VY66BIB97PVJPOXOBtOv67aOFGt/csw+yTisZ0NcGunWQvjkYy7yrDTimDYfgK2u1dZ20NYfqF+r8tp6Bor/UgeprFQdyTLnWCg49lzvbLbnOp/pL9M2R5ymv6l/90lrf/BxRzzyTjAfIOR8O/VZ/kDU3j3e96537Nv1qry3tlp+MVzEvSN3qr9pjU+fW3RtVD8wPPW0hZej82bfyCVXWr7r4q/8FFlInfdTrPJwNs0k/B1is3CS5mKGedzeMNxsHMg+/Tg9WNsQWbjBiruwAO0G/08UH8+Kmr/PQBj+OOW5OmZ8+9Nf1pQ/IGJLz6PznIav5VR+dLOkvZdBf9lc/OUfJ+WWONRevba0Hvmou2qgDmV/WP9eM1DzUQdauzqOSeZqj+pmfct43tU605gM5F3W6uRoDck7Q6cAx1yA55npA+l3lUu2yX/9s8lKv+uXD1WcHNuaTNe3utW6O6dsx+1bzrTbqQY2BXfqCtIfOV81BvzmnzOtYf6KMfXfPVv/Gp0255gn0YXdsTtVPJ0Pa1j6OKndrGdIndDL2df0k6HW5dbFzPtD51I9jOf7c537gPhep49pC9VNlMc+as7rm6r1Y7aXObXW9Uk9/+Yymn6PKuUdwTF9bPqsM6d++JMch7c1hOFv6O3S4Ibw5Em7uXNwsag4WOAvdG8KFznne/HmsbKCLDVt2nkvV5SBvfdcbFbSxXx3o8tNfvoGhr/vJXcylytU/PmsetGKuWzUUZHWrv+rbnLIO9nMtBZ+ra2Q+tjWXtEv9XF/mBdqr64GO/my1M2/Qf+oge90O1RrwcZq1AejkuXgtbKHGRXaekDHAfFbXX7qxLicxZnctzA30C8iZS9bJcQ9Bt8shdaDa4tP8UwZzhm6O+sgxfddnmzju2md8FUPdhPND10md6ve0z1upOhy1VnDofoOU9Wk+cmxOjm3JgK3+ZJUTMnMy/5pb5qWcrfZQfaxyk7QVfeNj5Q+dmuvdd9+9f5PuXLZsnQ/H6j5VhlXO2Orr2Gcghyinf0g9fDCO/5qHKGuXnzP6sQV9WitlSR85F2Wo8fVFPYazZzbp54APmoSF7OJmsXOTg/3oe6N5U+XN401C29kQk4eQth1bsdI/pK4Qg7yxyblUG8kfMmp+9nsOKUvmpWztIP14QOaxlSvn2mWOedR5Hesb7KcvYyTOi1bZOqcNcpJ2qxz1AZ1vSL81b47MWbvOBjp7ZD5oXA+Q+XXzqzGEefqDXMZN3/WDqvOlPflVHXM+dA3Uy3nSrq5FpwuZS9pW/bz3tHWs6km1Nf+UIeNm/8o+2cqZlnHttmJUO8jaGL/m0OVec7Imp/FnDls6snrWaVfzwTcHsvcGaKOdOt01TR95fTJW5tLJUnOD9IPsfWdrjtLNT8ytu48k48GhnOTHfvSHdy9+ycuv1gDStrv2eS6dvMo5fdHf2WYdOhnqdXA8r6dHd/0cE/Ly3BiAfvqEamts1qP9x9aENnWHs+OpO384Mx6470pZ82aEXPjcTEI/BzdRtfHGAezU4yYRdBg79id6bq6qB/UmS13IvBmDlQ35qUuMtE1yzuaylVfnp9aNHDKPrVwdwzZ9Zy5Q/R3jG7J/FQNSL3WAD/Du2kLa1bzMwfpA9Q05R4/c6B5js1UPZPr1oQ0HftK/c6NNuUJf+knfyMf4QZe8qx7UnLocoZsn6HurJgk6acuxugaMmTdUvzl/+455Nphv6kDGXtmae80lMe9VDOns9N89IyF1xPPMH471162N1FOH+WR9ajwxbr2u9FX97p41B/ukxsOWnMgtx1ayeUH6Bfsl559UH8hZP9iqjWi3um8gY8GDz3vevmWNQ47XeNUWOeOlzHHM9VTeyluZse6+rte2xss8ak65hvVDC8rVZ2cD6InzO6Ymrrnh7JlN+jlx1+7SNQveG4EFz0LvYNFrkzcaN7U3CFQ9fXJkzOrLHHiY6RPUyxhiLG9UbkZRv7PhbYv5dzqSc4FOxpbYq9rVepij/eRhDtpbC3VzTNIn+unvGN95XSBlMQb9qzkSiz51Ie1SP/MS+yB1zTPlrN0qn84Gfa+5Oa3s007dpJsn+thpC8q0Hekn13uStYF6r8FWjvRvXTf0yE8fqat+ziNl7NMmybyrX8m5cOQ8lbN+tRbpP6m25mz8bo6yVe9DtYG0r/E7uatd6mz54zmZuVY9wH7rWaev6jfn25F5oav/7OuuOZgTbY6tZPNa1d5nAtQx2tRL+1rbLtfOj59PoD/tMhbQ/+gjj+zuu+++p9Uy7WQVjzw5N2dkONaHz0BttevWNHrdtctrW0n7lCHrDCl3zzNY2WzpbtWk+hvOjqfuvuFMeXJ374l05QEFLGIWM+SNnrj486bhIVJ1U0+fQD83Pw+B6guQ6dcG2YMHzSon9H3wJysbwI5+DnVSFvQy55T1cah26EFXD8fAfCF16zzSzvoxlv0pQ+c7/da8teegr+ZeQa/Wpqu/Y4l2mQc4N8j46HTX2zxllbN6OVbjdnbmfmgNS8pJ9UEs49MmqWtOqVvt0PegbzUXUA+qrn7BeaDrBgW2/G/lQH+1oW+rrlB1kLu5Q9oaP3NxftpKxjDHOgdtocsRanxgLOt3yCd9K3/018OxCmPdvQ6dX8aRa260gp71z2vS2R/LVo76qs+x/PypNrLKhVzhNH6wqb5qTpnrPffeu7t06dI1NhnjmHgekPKx19TYaYt+jknXr12936DLIcdB27xvvb+OteGAjCeHxpHxM5w9s0k/B571+CP7Reui9ob2XOyvNyA3Tt4U0OlyU6Bb4cZE3xw41K05JNpBzYkbs2PLhlbUgaoPmXPKUGsBXcyuHvR3cSB91nk4X2PrO+OlHnS+sw+6vJG7a+MYrdTa1LzT5yo3WL3BlJoL4Dd1a72dx2o+YA51zJzrvDhHN+NVWV9bPmRVq3ybJurCyq7O0/7UqWsp0W+OkbdyZ1Nj1OtQSf2urtV/6ihDFxPbjK8/dGBVN+q99QYautpoX2OnDjlnf5I+1Vn5A+PVa+h4krWCLpZ2nY9aK8Andarrs7OvmDutsn4kc5Sch/0+LyDHVnU2HnVjzGMVe+VHupyAfuBNuvME/R0bL/NNTnNNRV91zH7o+mkzXtcHeS0S9LynUobqkwOZ9ZA/1EKXg/q03ThkjsPZce2KHM6E993zvP0NygLmZuLw3AVtP+TiRuYmSNTlWL0lqqR/YlbdvOkSbVY5dXYrG/qZNw+zKquT0O9Yyjw4T1s784StOEn6rLWir/uAq/XvfHO+mjvnXFN8O8et3KHGqD5hlZt5ZJ3UNW7mkDKkbr5p55wx5pH9iXnnvVB9J+qD/o2t7NgxPlJOPWTHqu7Wmj0mh06HFozBkWs89ToZjomx0gfnU+8tMa+Uu2cPdnm99XeobsJ45iz064N+dSBjKyf0d2vQeRgT27pe03cXzzxTTjJvY8HqHtc+dYlXcVwdOLRmIH0pp6/qU7Kf1vrY79ihZ1d3DWp9sKm6+qGVjCvUAHiTDtUf51vxrCF0+ULnA46de+2HTh/o0799kPHxqy1tRXsw384nsv4qK32oOSKb33D2zCb9HOBNOgufBexN5DnkTc3CZoGz0JUTdPJmxE/aJKmrzEMIvaoLXT7INZ9qe5p5ZB1SNid9G1t/5g7XWzttDsVJuZuv9h5dXQ755WHuJid9AfNDNl84be6HaiHEYlOCDaR/6HKAzCdb0U/th8wV8nrCMXPNOXVxtny4jkSdeh07/W7NdtcfModDOjk3ZNaHY3BIPiYGpD4HsbAx/ure6mTXab0WievL+WBn7MxXO8ah5gB1nXD/pG3KYK7KiWNeW23THvI84+nPPljVLe91sXY5n86+u6b6reu41qeT8bOqe/Vpn7l0MWv/1rxyDol54wsyr0Q/WznhC/I76dXfVrysYdoYS5vqA+jDRnuoa1QyRo5nv9eJuPV6dfG1rfVJOWulv26NQbVPvSrjV3+QdRzOlmvvwOFM4E36vo1FDMq5mJFZ4FX2hoHUp5/zrZ/gpfNHC5lbZ2Mc7eUYu/oWK21ofRCha17Q+ZPriUkcHiiH4kiNCTyMsm60qXesX/LRpvoU8z0md3RyI2BO6NZadGCvX/OgL2N3svppe0iGrAecZq7g/KDWz7w5wHHIuqQNrWOdfpK+0y7JHA7pAOPAeX6w57G6DhyHYlR9IRY2xgfHs6/mJ6u4FePqu9pxTs0zT8gcgH51MmauAX1B5g117JAPWsC+zjFzYLzLGbmzFcbqtenuY9jKXaq/6hsfabu11m8kly6PVW3hkA7jHEA8qbHRf+CBB3aPPnrlxVj1IzVeYt70aw8ZFzKnJOfd5aBdjW8/B33E43N99fxWt8q1PlJrBcZZ+e+uPzbmlHJCPzUYzp7ZpJ8DvEnft5cXrjelMjcqNwMLWllSBm84+h1T5qg3JNDf+QZ1MqfUVQZjJDkfUL/aVaodN/hpcwdzqjqdLtQ4PIA6H1sx00dev2SV/8pv9dnVZSt3/aFzTC2y/vVaZB58gIOx0elkOY2ceUP6qn5X10lSP/OWHMeum2v6rPpirdI/46kDVe+QjuPqEF9Sz7zoSxm2YlR9+/UJ1d7zrLfj2Chnv2TcjJV0duSXeapT9dBhY4COaCfKaa9+jiUrH85FzI1x+2nRs1are109WuX8rwxAHiv7Lvf0CVnDlAG7tM0511hw2lySLg9R7vKWqsORuShX+O0uDz74vKtrrvOTdc8xWOVBTOeqj7quIecth+JUX8YyXmJs2pqHNl2d0pd23XVN/+SYPiD1qy1gR3/WcDg7nr7ihhsm36SvfjJF7t6G0wK2HsKNWXW4kbih1NU3cRLHObqcqpz5KAM6on7+ZH2MHZBHzR3IbasutMbNsaonGSdzTB/KjlU/5pZ6Yu4cW34r6TOxH7I++uxqsaqXMmSclDOPzJV+x1LOnA7JtpB5iT4h7cwD3ZqXaLs1zsE9k7nQdjaOd3U7tr6Z9yGdykrPeVQ5nwXVVrL+q9jVj3r6TP8rGTJuF6t7djkX6OZVSX3g3DkqZ2553cF803f1Ac4l/UDGgKxVnbOxoNYGjAXodm8nMzdz6XwCuhyud1CfNul8qkN7mly0E/NQXtVWqg7H6jOzywv4Pen+dhd9QK37agzor3mA6xHMpSNtUu7iwMpXvR8ztlRb9OxL2bH00T3LHJPqQ9Km2iNTu+HsOfdN+qtf/erdJ33SJ+3bZwq+SQcWOouXB0C9iTny5lCuNwE3LuArdei3D13Qb6IfdbqcoNp1uenfQ5/Jll1Scwf60Ot8MIdax5UePp03D6Z8E5e5pCydH+uV6N/rc8iv+tVn1ZOuPr5lBmNwdHUAZXQynjL5dDnUXJXNCbZkP1Azl8y98791nSTtgHmkjypnLrbVJ9RcldXtxqDqyTE6mSdYny09ZWq1iqG9c+L6WqdKzts1IZ1/6GRi5vqqZBzy955Bdh2SX9XLOVcZ1Oc8bckBOfug+ob0Yf1yLo6lLjhPbSqpl/44iO+8aVes8l/FrPp5z8lWTcC5VrbssOGoMuvUTbc5r/IxLud1LVUbQJ/+N//Uv9x96If9gqtrCozTrUnHsg9qHpBzTn3nR9vJ5FLjOFbzSftVjdFf3V8ZI2VJHxwr/9qlnNjX2UPKw9lx7pv07/9nP7j7gR/4gd0/+Af/4KTnzudZz/mwE+nKDejmALh5vSGBhc+Nxw3ozeFDDVj42kLeKPZrB+nfmx/yBqo5QZcXR82t04PT2onjFe2zrbWAGgtyrik73tWo5g/Vj7G1gexf+a360vmkTTIf2i4WMJZ1SJkDPeMpuymmPSZXwZ+sZMCX8TmMfYz/zCVlUBe9eq9IyoC9pN8Ef7Vu9texKqe/lf6huWR9VnqQNnnUPEC/XGdI/4IO4Nf1lT5Xc1bmwF/aHxMnbZwTpJ6sZDCHTiaGfTm25SPz4j5jnom6xzxHONIfeO79Z/+Kru5dTEm9le/UQQZr4nnHlh1UGZ3MoT63BD39MWZdco4pA/r4e9c7H9nde+89+3qC47TkYPyt6yWZh3Q1h615d3OGHFv5In7WmAPdzjZzqjJozyHI1b8cqlG1VbYdzp5z36Q//Laf2bcPfdBTG9c7nScev3LjQd4AwE3mDckNwE1hnzcD5y78ag/0df2Q/kE5bTrbLi/ocuv0yDdv7HyDAtUudasM6Pugtj00Z2ydZ9av2mUu0OWV9sqJNul75RdSf3Vtuzy26pP6dR2lDMQynnLG1xcoM97VUZ+H2vSfHPIP9q/yUpd5po+VP2Vz01etb1239m/VVxm6a1R1QDnz1G6lt7oWNT+wL9EmdbDn0Helm0OVIXOSQ3HSptp7fuja4jP913lXPca078Ygx2pNMw5rxTFY6Zmz6D/7RJtVnMwHDuXGOdhfdVZvuTt9Wshrr83qOlW26qlc7cjRvmrLHOC5H3jlK6aALuM1h1q79FtzUIZVzbE9Zt5pX8eyP8eyxlDHocsJlOt88r6o/mU111U9kP18Trvh7Lj2KX4OuDl/9zvfsW+fCdx9z5X/ZO/NUW8EbzYWNYsb8iZEn4XPA6jeaFuy4IeHBQ8N/XKDbtmA8TMv0IdUPfzkDYqMTvqAtJOVLDXHVf6Zo/nU+Am6WSOouWhffRlLu6T6rddhlZvjUPOQlCH19Zd+aIlfa5VrAbQ5lCvn2OlTHWzwSatPxmEVq/Mv2Y9erWf6o823bsrQrfn0BVlTZPr15RwyR8a1rTKkP6g6tcZgnnWeqUc+mYc2UPOD7Ev0B5nrSh/SJmVzzPrSQuodG6eulZxzyo7l/KX6r3XqnqmObc0fahznWI/8IW+VT8bvcpGMI8jHrGPHtvySW5eTOpIypH9sGMdXyiu0W/k3FzBH5bRFpg733nvf/m26bOWQdTPfY+e7dU8emrf2dW4ede2DY1DHHcucan5b6xC06eKmL+jqkZAf+sPZc+6bdDfnz/nA5+/bZxoubm8EDmRugrrQJfvz5jgk583GDUl/PZdqs5WXYys9Wm5Qb2zaRBtuZHRTv8ocaaMs6q7yzxiJ46nbvUnKXCTlzk+Vs/b1Ohgn0fZ66lNzreR1r/nZR1w4JlfGqZt6jCOnT3B8FQs6/1D7M6/qj/lL9dXlVHPnWF1zbatfbOtcQH/qd3o5F7Gvm6d66RdybtkPVRfMhZajW19J1e/mmzmA8vXGSX/05TXp5pTz764h1DpxdG9m0y5zUq5zUN/xeo2PyQc6+Zg4+qEfnZUNbPmFmpP1qfra1FxyLGVRn1ZZn51/c9FGqi2Q+3vfe2m/Uacf0lcl6yar+lQf1TZ1On3zVT/rXOvhc6kbo6223Tqo+XHeXe+kywnSl3PTB32ZI6Sf4Wy59ql7DnzIc969b59Jb9KBG4MbxIWdCxiZRQ11weeN4o2RvlYy1JtEezlkg7z1pkkyf0DPvnyTWe2z3/OUHasxzTV1V/nr85g54MO4kP49P8aPpIxvc0yZh+vKZ8b1PGXH0qa7XrSJsc2P8ezLGqxyBcfysB9cW3WN2Wasrg5VTrp4NfcOdDOfPIA4Kz/a1txAmy5f5wad74wvnueYcr0O4rwyt5UM5CKZV8rH6CfkV6/39cahL31srW1rw0Ff+q6oJ+rR19UQzAn0nXG2rjF6+RysZNwqc2ScmlP6VB86my2/FcbVd7zqr3I5dC8D+pJ5ppw5qwfVj3GBMb7qwkY9/dCmnGTdlDnQq/ls2Z523qCt/ZznD0WQNsr4zPGsQdqmjE33eUybpN+Efq7H1rwyltdtOFvOfZP+s49d+a7YM+1NOt9LZyGzeL1xWMQsehe25M2hnDcTN5m+VrIx9E0fPniQJCubPMwBlOlf5Q/04bOS9oLsecqSNjm2Oq950V7vHGr/MX5S1t7606Zs/SV9SvpJWdKGo/NXY9dcsy9Z5UpfriX1sg99PxSw6+LLqg6wmsOWP+j0aDOf1CN3fBxbA1DGRn8137Q5NkeO1Xj3lg1qbt0bYshcuvVfczyknzlC1he9lV3K0MXBr3Yc3TxqfWocyByV67MQVjXMnPRtP2xd43oOmQ9kzVIWYrs+V3FyXozlODbVb9WpoM/9u6Xf5ZK1gE5Gf6uegC6+ch1r08UlT879qovXt4tf10InG0u2bOHYeZuz9tbAfvyI/Vkr5bRNMi9l10RlNaeak9Q55v2hLj6QU284O57+1DpjPuC5z923/gPSN7zhDbvf/Jt/8+6uu+7aHy94wQt2v/Zf//x9/53Ek7t7n7aQWcR5Q4I63CTcjOrXBZ++VjJwc3LTQRcP0PemzxuVNsfNR//coN3bLX1lHpB+ujhgvvYZj6OOQe2jXdW1zmGlK6tctvxUn5zjA+iXlNPfjdRH0o/9NXbmyjXkw7i7luoDfelPH6m3qiVU20rN+9AcBPlQ7oCsL/3X3LXd8tPlid5Wvql3KEep4/jID0VIfTAOeVhj9TM/7Vf3MC2oy0Ef8fS7mgNkDLieOK7LXCuMr+rM+SoOZI45j0rGyLlu2YA2GXclQ+YDxHVO5pC6xs6xzmfNMf2Ccj5L9EFbQb/T0W/6FvryOqXMgY/MdeUbcj7a6LPaIPuPRlkH+skDsvZbctb8kC2s5qxMfs4VMsYK9NVT7u4NIR73gaxibM3JWN2ayHmt7jVkdIaz59w36fnbXb7hG75h99KXvnT3Ld/yLfs+eMc73rH7jn/49/e/S/1O2qjnIubhmDeIOE7LTcLNgqyu+qmnjE/Jcf1AxksdSD1wMyCZj9CHTtohc+NWXTk2DtR51bE6P/p4gKS/RF3zQq/qMrbybS5bfjqf+qCfB5c5qpdxUobT1KfLHdlYGRvs9xwytnLadjVOPclcOLBfrfsk8z40h3ocyh050T9jmd/KT9rndUD2hxz6Mt+VDaTvOi/oYuND7HdMzIc8EuNnP33Yd3nl9euuO3Q5ql/v3dPGqbEk56Geultx6F+tBWPTAn6yhhlDOpsuLqzy0Wf6UnY9QY29irXK0WvhOoeVj5oHrWzpVH39c54y5NwlfefakWqT+WfcK7+C8anvpINjoJ9cCytZsCdGp5N6mdNKBuUuBq2yzyT1lNNO0p546JhnUuN0c5euvs6Fc2zyM6qb43C2PP3OOGP87S5sxL/wC79w9/znP3/3qle9avc93/M9u+/8zu/c/dbf9gX7cTbrX/QlX7qX7wRY/MDCZZHXGwXZcWHhc8Mc0qs+7RN8EH/LBxgPXfxVGPdmTNJOHfXMPUn9VRxwXkmOAb47fedZY3e1SBkO+Qb6HeNBWv3Qgnoc9HVzAn0B8mnqY0z7GCcn7KWLnXkDdhnbc227tzepj17NRWquqUubGLfK6OUcuvxXuWfOCTqM5bw6PzUW0J+oa//K5pgcHUO3q5F0MaSz1W/FWJnXobdx6nGAucCq5uhmHEBXkLu3c3V+xl3Nv8YxFnPq/EPmIdil3iGbjHlI3vKFjK7HMWsJeZUj14I+Zak+oMtjpcN5XScJ49p086aF1DPH1Kn6kjbIxGCD7nfSQZu0p804nazeVh0dpxVzgpSzhl0tAL+SeUCugYy7sqc/faz0Uidl8jT/1IccS33nZTucPXe9/zIn8rnwqZ/6qbvv/d7v3cts0H/k9d+1+7CP+Lj9uXzCL/tFu9f/yJv3Mpv1hx56aC/fSvgqzvWW5k0/c+Ufy/Lh4MLmhulwPEldFr83BTccD8i8CaX66eJ1sQR9xmm52bxJkTNmYgztkuojb/pj46hjv/N/57ve3eqKfp1vza2C3pZvyHy7+cKx8zmkc6g+Gds5gv2dX1np2J/+tsgcpLPt9KDObasmSeaPTV6LVfxj/Vc/NZZyrVuXS/ZB9Z0c8pHyVgxY2R475/qMkcwRUoZuXkmNU3E86eIdO/8ap/Nf7eqcOrr8sbV/S64wtqo3aFPnaT/nK7+HSB/Q5VF1kpX+Ktck64ysn04XVvryR//wH9p99C/92N3v/F1ftD+vdelsVqRdnXfNr+al3NnVnLY+15Mas1JjJXUuW3EA/a5Wq/4Kei9/0QecnJ2eG9lz3cmc+5t0/8Ho/ffds/uO7/iOp23Q4Xf87qfeoL/+9a8/kW5v2OzlDYTM4U+cnh96Y+JNwTgPgbxJ9MFR0d4W8FFjgeeMgQ8bqDET42KX84Lqo+ZKy00vGcc8wX7n373dhfSdsYH+zC9ljur7mDdvnZ9j5yOpI/ixXfkznrrieedXVjrpb/UGJ0G3zh/qenbs0PoQ89qKy2FtGLevyxs6/x36EeUte3RqLpA2oO9DOa58HBqXle0xc8b3sesfWVuubdWnTTIOdOvk2DXSjUuNI+lbOfMF59Tp6rfmDfTLllx94YOYW9cG6jy1V97K0fllvpA+Vnl0/qDqGwO6XGt+h55rqQ/ps+ZJbo8+8tTvSNdGX4BNt6arDNqRQ9U5lBc4ltinX3xk7eqckrSpMsfWtVaHo8bp7KDTga0cAV3yGs6ec9+k+6sXP+3TP2f38R//8Xu58uIXv/hE2u3e8pa3nEi3NzyI8gagBRY6C76eQ9XjA9NzbzZJv52cm1ly0baLVcc454bjgbAVU7yBnRc2nY+0B2y6OJC52HpUql99JplfytD5Nj5kLqlT/Rw7n5VOncfKX+pVuZv7aXWclyjXmKyx/MCFtEWHhzdkrZhLrUM3z1VcWvxpxzms8l75h/TZyVv5CXEZF3Q8KjVH700OY6ziduMcYL7U2/4u526Oyql3mjqu6r6Kg8zaST3y1o+51HgZ03P7uhgpZ7ytdQKZR8o5BlvxXPdJ9ZX5Q+dndZ1Tp96Hq/lVO2VrvKLOuV5/cLzOCboadutIUl9/K33mDg8+76m/OOr88l7gMEfoZGsCXQ1dQ6u8OMD4tJkL4Hfrcx3SHrIeKeeYKNf4tXYru5VOzbFS/Q1nx017k+4/IO14/gs/6kS6rPfwwyfS7Q03NDcw1MVbb0zlbpEzxg1ebzrIGygf0tUPNxBkXHW82R3joI9x7bqYQF/6tIX0Yf6Q9uj4g0SiT/11808Z0m/mnqTPlX9wjAcb19DzqgeOAf3HzIdrxfo4NA/6cy6dHj7rtd/Sh2N08Jvzh+qD/lWdIeMA/Y7l3Oo8IXVrXNEuwaZeNzi25lXu8tOW1nPGibVaq0nmmD7xQY65hjKuco4bA2qO9Xw1X3MR61brWH0mVR9qHGDM9Zp6+qTP/lW8rsbQxQPk9AvI3TqR7KvjylvxuhqBvo6dwzHXD381Hn3HXA/o4tAm6aOL5dE9I8FxYKxbw2lT9bu4wBzvu+++a96mwyrPrMlWfaDq5AE1L+cB6WuVC/rapAxdLsZNGZBrnqvPhKSzqzi+ypUWaNEbzp6b9ibdf0DacfkWO5Eu612A76OfFdwoLn5vgG6h82Cregk3WL3pIfXR4Sbhplr5MZ463lSZB3T2XUz6nIfgM+cDmX/22ybmol9k32BIJ+Mr5y+dP+cpmV+O249dnkPnc2s+GRM/6K7moZ+UpdPDXzd3SP1jdHIs5+/YyofztCbqJakD6NS1Ap0evmrszCf163WDQzVP310cZdGWuImxJfXIx7m5GTdHY9Q4eV7HJOchna/VfLt6Qe2vPp2L46mvbsbR1msB2S/6zWuQ1Brnc3brOup3dX87Tlt1IcdB/13MpPPL9TdvcD5d3nKMTnLoehyKU3PudB2jhbw21V65+oCVTfd8SIh36dKl3T333rvPDw7pW5OuPtUudeBQXs6D/lV99SHaQNprpz7tSq55cn7aNQLpExyXTkafODzPhrPn2t3KOXDavzh6J7xJf+4Dd+/bY9/cdXreJMKNxo3AjaecerT44qbyfBVbndVP22kLPjA4eDgxlvlkLuknqfaZV8qAD0DfHLX3yFpw1NidP9jKD+q4/iX1pPNZ43cxs360oB1tymAuWW+gzTdToj4HOl0eqZPXRhyDlQ9AZ7WepNM59h7BV51j5pP6kHkn9G2tHeWtezJ9G9dzQM4YkPml7HhX+9q3lQvH6t6qevQ5X3GsYn/nG3IukH66OJUtv9rZTyvEsMapp13KxoCaj366+XS63RrPdZk2dT6CjC/1kD0y7+SQjrFoE20g7Q7FAcYF+Zh7FVb2oi0tdDE5p9aHPhu5trxJB+eVep1Nxks512LCeF0jtW6gL/2t8gd8qJvPCuVOX1ZyxsaWdXmofmDcLhascjQW+sYZzp5z36Sf1V8cfeUrX3n1DyB5XNQN/bsee+LybXBpL3c3FIu7HtzQtKBevbm4ERjjnIdE6nHjaC+r2KA/brYt21UOYA605l/9aEcLmTd0cvpBXzl96Ue/Xez0180z/XGok1QdZP2saoceZPwO5uAHfNZhay1A6tMPjom58sED+Ovy3PJLf/o55AN7xrs6ijp55NyVq445VhizVc6cO5ynPtNWmaPLK+uyuv6QMfSX+tWmq33t07bLBTnvTVjprdZs1UsZ3926zLlUu0P3E+QcYfUcqXMBbLl/PE+7lDNG9QuOk6s503agq28OY0v1n3FX68WaHLrHtu5lqDXSTjmvx1YcWsh8PYwBOTd96UO79JFyl2utj7XuYgo6jz76yO6BB56616CzqXWpz4dcJ1U37y1jiDrV96H8tcm4KUPGXNXSfDK2fbSdv5pv3t/pU8wr80VO3YwznB3nvkmvf3H0euCvkr7uda/b/3pGfkUPx2d/7uftf6Wjv97xovH+3X1XFzA3EzeV59xE3iTCwgd1oN5cjjmeetqLejW2cENCfTsJqWsOnHcfoMr4yHl580O9ebHJvKpcayOMm7cYv9aUfg/6skar3E6jkz7VpeWo87J/NS/6Ml9z8BwyB6j9nhsHzA8yftVJjJl1Xs2z80H/Kq7UPuLVddrdI2nHgX6iDXQ5J8ZJujVU8+rqsiJj4PMYfbCe2GSftlWP87w38wD1AJkP5Kxj1kyqjK+M361tqHbarHQga4y+urSwmoswlnloJ1xX18pKx9j1h+aVvpgX41XXvM0v6wHqg2Ppo453140WjANZoyobP+2VYaUvea221oBz6WQw32Pup4ylnXBtH3zweU/7DS/VBvAvW7Gg6uqTo3tObM2D8Zp/teFcOv2tWnbPvUQfHoCeINNf/Tk/SfuUwXyHs+fcN+n5F0ePoX4n3c35W970g9eM/bW/9N/sN+n/2Vf98ZOeiwNfd7n88+bJ2bU/heY51JsBmT4WPTcBC185x7mRoN4soA5txq791Q7Uwb++1fMmBvQqOS9QTh+SeXUymKs5OY4vzsGxfNNh/tLFz9xqjWVLhzb11QXkOhdQrvMCZVqxz7jG2+qHzDvpcun80lpn5w2cH/KRsqiX83NTKbkG8hxyrhk/P+QgbdCt9TA+RyfXmKyhLq/Veun8HnufKuvXGNmX6M9+8pKMnXp5ZB2zZjm31TwhawVezy27jJNjtcagbtan8+tcpdpBzbXzXckcO/0qm9dKd1VH9XOsy7XmAl2s1fVTTlZxVtcPspZbawBWcoKPrXhS14gtz32+k56/3UXSxvhdLMYP1TDJeWtH30ofav6gDWQOUPXRUzdlyHyyH9Kvcp1btUl/1Tbl/IzFhh9wh7Pn3Dfpbs6v9zvp/+g7vnv/KxrvfuijT3qu8OEf8Yt3n/EZn7H/S6YX7WsvfN3lyd29J2dXqDeW5240XPjADcKip0+ZG6KOQ3fzgDeZdPG2bPVv3KoPKQsxuPF5ABgzfSSOdzLkHFLGj+foOqe0O+atE4e+nK8coyPoOOecex2zL+fSyeYLGbdbA3VuWfek5qGMXY0n9Gd8qH44ttaIOqBvzvP6SOpC2pkDfcbXR+I4/Zkn5Nw6mVxWMe1Hhw+jbn1B9asPdY7RZxyZGN1/6YLunqp+067qW6e8jsbNHLrYkj7UW9mpB+ZpLmAOVcaXpF99gDorO6C/Ww+ZF5iT7cpnlc1LfZ9JkOOJuvoHz+u1WY3BKpeVDJ0vDuadutbZeoBxIe2x6fS3ng+0xNt6Xov5MmYOnPvbXRxLO/TUNVadG9AvqZNyos+0q/4rmYuscgD1t+on6OX8V37Nj/FDuUK1lWqb8Yaz5dw36W7Oj/1Oer4tf8Mb3rD75m/6ht2v/ORftfugB6/d9MILX/jCffvGN75x314UeJP+7N1797KLN2+clHk41RvCc1plbog6Lt2NpC0x8ubFT/pd2UrGhU7u5pQfUumj6q5kciYPPgCUzUvZc+cE2X9MrvpOHOPhCOlT1KEFcsj/VG4/ZJ++cl7dHM3Xc8g60m8M+yDr3uWobsqAnfGNmXJS51h9KWetc45A2+lVubs+xPOtTeYhjrMOHXcuq7orr2JK9ndzrn6TY/VpPVZkza0Z5HVMOn37tE27zgd69fr4g0TnI8n4UHPRn/cc6OtQPfPaYa9d1c/5Op592AMyPg/lssoL8LsaNxatcsaCem1Sr5tHF2sl64u2xtFfwjh0OWOf1x+qvjEkx82ZY6WTMfOeBnz/9Jv/5e6lL/+oa+JUu1wXifr0H6qhvvRb9WlTH6qNuSSZQ7WHWj/v8cqqzuheT65p08mVjD2cHdeulnPgmM356tcu3vfsJ/ZfaXni8f4nNO3e856L9RNcfZPe3TiQsjcNBzexN0vCGDdHjmlDPzeP58INXW9eOWQrOa5sC3VO6BEz0e9q/lXGnjkqZ004an1qn3PJ3ME4nFMbHvrVLxgX0nfVqTBurMR8AJ1ujqLuyg9zIofuuuhzlWP6rHbJoXpju/Jlf8auc4SVnnQ2ScbM3IRxD0BHn53shtOY9K9qoN+cM4e+urkeo7+qe8qCPWAPnDufqgvGZN0n+jkUG4wFyNrSHrNmTrtGsO/6sdef46nXxQdturHT5FLzqvFocy0l5JDXoIsFmSuknvOHmstpryPoK20h46RNzVmdlT593bWvPg6tD/o9yJF83/Wud55oPBX/2Pqmr9TragjmY4zu82NlAzWXzAFq/SXrgn3GShhPXf3eSK6Mu5ZTrhBzOHvOfZP+j/7B39v/Q0/aFfwlUv9B6Bd8wRec9F7+yfDJu3fvfvdju0/5lE856bmW9773ytvq+++/eN+FcvGzcLlpuFlWcoUbwJul3ki+Scgx0MZz8WbKG1ZfPBCg2jpefSt7k9J3aD7Vl3qH6gKc6y9zAOX0zYOoxs+56S99Ind+q5+VjnrO09yZB332W2tIu5Sh07ePFuo1sA9Zna0caZVdT9pJ+oasbeeHNnMwbl7bRLutNbCyoeWAzLPLSZl64k+fnex5kjXIOKt7p/OT+RzSr3VfxceeY1WrTjdzQJ9zcCyfLdDJ5uuRrHI3LuT89dHNwZy6uSXOBapejd/N0xjd+qswlrG24oFzFuPTmvcqlmRNazz91RqtrgOkLw7tM6+ch+tc/dV6M5eqn3r6RreOSadTYzIGnHMtn/vcD9yf2w/4OZQrrfKxNURHPXSQOz1Imy6XLo/TfL5XvfSRP6TAjeSaOacsxK2+h7PjqZ3ABeU5z3lg9w+/4x+fnF3LvfdeeVt90d6k5z8cZeFyg7CQj/lpVLwZ6o1EfzcG9HNz5c2d8ABlDMxL0hY63xX69LGaDzr5wDBuV4tDdTFHHiLmY57mgo86f8Y4nH+tTfVba6h96nBAV1Pssn72VzIfjs5P9nWYB5gXh7l2vgU5bSo53618Uq6+Vm9wALusV8pbNpAxlDOPKnf1h+4a0IJzyTpA9acebF1ToE/906zHGl+6uekfqq4QsxvT1iNjc8ixuUPGgfRlHs6B86xZtw5qzG4sY+Tc/GEzx4idOXT51BgpwyoeqAuOAf2rWAl+qGmNDWmfaNOtocxL+8zL8eo79WUrl26NZPytNdTlaCzHgHn5Jp1+fdGe9jOpgl6t4SrfrVrnHMB5AP2Anjkhg2OivyqnHjL93XyAsa1cYfXMXsmAjJ/h7Lnwm3R4wUNP/5fb4D8Y/eiPvvYfld5q+LrL5Y/gaxa+LaQs3eLnBkKXxa8syB4JN6c3bfXHjZcPhUrapu+a2zGkDX71x5E+jAEpS/oBc+Q8fYI6x8w/fUL67WoIqSOpax60XjPbjrSF9GOM7Mt55tyyjw8+qL5zc1LXU/Wn3M0380k/1VfmwVjmkj5sq8yxslE3c4Vac/S6+qfd6hqk36xDxpdj/GUu1gddNhKgvb5cq+kT2fg5x0R7WuhqAulj5QsydpLz7HLPDYcHqOP6yDHJmnF4DjUmaN/lU+dG3qJ/ZUkZuvhwTDxRt8Zc6aVP5Hx2Qd7PK/La1etIm7bVV+e764OcW7K1RjKnbjzXR+IcOIC65Jt09LH3PNE3LbHR9Xqt6GoI+pFOz3HidPOAHDMnsN9zfHU1Ume17tJOtnIF8zBHOK08nB0XepP+kpe8ZPe8D3jW7p/+X9+7e+KJJ056n+Kn/tVbd7/q419y+Sa98rvYLxq58Lmh6k2WMtQFz83CuDKs/CTeqN0N5NjKlhudGz79A/bd2ErWpiMfJOjbHusH+/RhTcxvNf+063LL8ZVe6gjnxM7cseOa5ducnJ9oa94czMfzreuRce0zFqR95qCedYOcZ8rmlDJH+oHqK/MAbHKe5p21yLUNh2zoczMIxs2aZy7YdfOtcSDHgX6OzPFYfxzoosOmonvDl/bI2nFAyvqqPgCdQzWB9HHsGu36ocu95rZaH9019xDk1fXp7Lr5d9TYtBxdPhm/XttD8dTj6NZPjQXOD5DTBwcx0r76EvWrDOh7XWGV20oGfXLUeoLx6nwAvdV4zs8cM5Z2jOV30rHRlzr6gYyjrtdLPdok49mmH6l6yqs17rxqvO46QMaseec5rOwk80s5yXV+SLYdzp4LvUmHf/O3ffH+t7f80A/90EnPFfjNL3/3b3/z7t/6HV+8u/vuK3+G/6Lg111y4XMD1ZtMlNF3wWtLu+XHNyrgjUkLefNUn6CftFn55zhmDqCsHWRuyjyMGPdhAsf6wVbMyxYdbercwTH7tnLr9DK2ZG3U71DHeJB5e87GifP0C3k94FDc9AVbtlkrdVZzTh04lAeoU+dlLbb6tsbNhYO+pOaivfqScRyrtpA5wDH+YMun/XWtYntM7UFd2kM1kdWYc9If5Lzt58iclTvSHl2pfnOu+M85WU/nRbyqB+jWWkrnE+hTv84TMn7Kjh0TDzIm1Fgcx9YUDvmqsvV1nt1/sZFDcvWdb/tzrJuPMvkg1zGgxV/mCNnmm3RtPUBd88qxlGU1t5QzDnQ6uY6zrurBMf2Qz/xaI8hckm7Oh3JNyCM/h7bkmvNwdvRX5wLxqj/0+/a/4eWVv++3XPP70D/pkz5p94mf+Im7L/+K//ik52LB112AhSzcKNxg3GhV5kCXhc6CB87z5pW0Q1c9yBtFX95EiTGh3lz0G6ParfLvZPI6lBvj9mNbfXEAD5L0080nW9B36urnmNzkUGwxd3X1Tws5n4wHOSae01qTGpvc6IcaL6m+xbjY5Nz0BfTzYajvVZzuulcd46Xsm0h0t/rAttZPGF/FNz/oxjMO5FpJ0KlrtNPd8lfj01r/br2lfieru6LaWAfXK32QOVd/jnltwPyqnPEkfScZL+dqH+O5zqXmIdhz3q1ZUJe+GhuyL6HfsZTxwzP2UDzBLtcPpE7mknJdY+ZwyJekL9Dew770t5JB35znRhK6uNapysB5zQ/0yUF85m8M+3yTnr6yTubMsXUPqgM1f8kctYeVjnR+Yavfenc1ytxTlrRPHehy7XyIOcJK7u7P4Wy48Jt0/mjR29/+9t1P/PS795v1u+66a3/82s/5dbt/9s/+2e6B+559onmx8OaAXPzcENwYnKcMLPpc+OANtfIh6unDI3WEPvxxY6VuQgweotU++7dk84HMjbrw8DBeF1/7jJ0+Uxcda6M+MXJuSc0tP1xqbnJsbGTf+ohy6nVxOl8p65fzZFXrLV8pUyewBom+7N+KA9eTC/GxoyZJ7Ut9czWvHIOarzFrfl570Aetcl7L1RjnkL6rrnlt1SfXQ+rRZ4zOFlK3m49UG8Zq3nU9dP6wod91LOpK+sUufVS5+so5QVdf+vJeUleZQxtIn9rhK2sv6QPM1/okabuKlzrgfPDreM5FUl5dq0O+Or/OhzZlSH8r2Tj6ZEzsr3FtIWXQJtnKC2i5D7vf7oKe5A9z+hDlrMWqdsqJ9lVX8Oe1ot8jx7RJOyDX/AyuOlvzgDrXQ591XS1SBttKjTWcHXe9n997ODwNfhC43tK87dH37t7x6OMnZ0+RN0QHN/I73/Xu/WJP3bwxtnx09tkH3JzK6uDf/kM5ngZj86AB4hzK69j5Qc4FsLVWh+bW5Qar+IdiS2ev76TLb4vTzKeLt+KQ38oqzvXmkvGRa1vr3sXpxqTmmLkB41v1N5dKFwsO6RqPD0zyoGWjsfKX+R6SnUOdj77VM7Y1APN2vumj85f6kDY5F/WOIe22YB7UDKpN1sKxrBVkTjXXOoda29TvYkGNt9JLjq0nVN1Kjm/57Vj5rBya0yrHWs/MZSWDfrB/wxveuPusT/3l+/OO//BVf2z3xV/6ldfEwl+ud8foM9ck69XJlTpfznMOaVdrwFjqdzFW46t5rHSg5pqkjwTdmnfmY34f87IP3o9dDzey57qTefprgeFMYMHyk6pt3hAs6O6n1fxplD5uCsDWAzp7dKt99QnKmQ9Uuy7GSjbPirHRq6zy2vK9NRfnk7JU34CvfLB1dslW7HqNa+767tYCrHx1fmE1H/o5R3/L16E8jrkGGaf6OU0uCbFAO8i6V/3VWOZNvwdkbpI+MjdtlGvexqFVPjRHIB55sP5oOx1RD/9bsnOAnE/61kb9Lm9Jf/kGTp2URZusyeq6d3JiXpmj65D8u/iQtdAm5wvadvZ1Dumv6nexoMaret2cunxWNvVagWO0QE1z/Sc5n7wO6qUvZfOUQ3Pq4kLawSG5+sH+JS958e4Lf9e/d9JzLfuvxn7pv7/PBV3WO/PzXhHzoM8YWQtZyTlX0EeSc0iyBoyZl321nt24cbt5dPFy/lXHOHndunWReUPmY42Hs2fepC84izfpeSMANwOLPxc6Otwc+WYob6ZqU+0lY2kP9hPDn6aV8bOyOw01z/QJxuve4GVeXfzqC9Kmcszcqk/Hujqv5mJsbdHLGtgnqbei+koZv1k/x6HzueVLeQVzdD3CId2u3slWfM5rzTqfqzjZD6v6H0PmVuOt6oZerdVKdwttVuvuGMyZ9bGqlxDvUK7pr7Llv6sJGPOQnNcwqXFStxuD2p+s5qAtZP8h/a1YkH5Fm2NykVWcVd1X1Lw5P7b2spVf+kt755rrdCWbS/rR78e+/EP2Ywlv0V/xpf9hmy92h+bRja9yAfUPzbX2g2Or53oF+608YSseHDsXOBSj5ouvi/ImnV8s8qY3vWn/V+n5Y5m3M9f+eDycGSxYFnMlbwhvAn5CRV8c8wbwTRakPTb1J3/QPvvzJ+78iTh/ak9/p5Gl84nMBwc3NK05SOaFzxqjI23AOLR1bl4DfeszbUQ7SB/oqN/NgXyJg2/tau4ZW/RZc6wy4LerlTrH+kpZtHVOxOmuQeopWw+oY8fMC2rNumtY+4gB2Q/Vl5hTl59kbjXeaj12tUo/UuPbJ/qoc6x2Xd5izuh19Up78kM+dJ/lB7H2nf/MqasJHCODfunv/CSrOXY2mT+sarSKeUg/oX+VU+d/VU90VjaQcfCRuslWPsmh2lc/qdPFrfWCnOsxMuRnIC1j9W06b9HZoEPmCciQ/creDznPpOaiXPXtX821xs3PReYH5tHVFZt6PUB/tF285Ji5mIOkf9AH56mbfm81X/5Fv2n3WZ/1WbvP/uzPPum5femf9sMNw4JlMScuaG84Fz0tN2vtB25Q/WjvTcGNzQ2uDUcnS9oq+3CAzPm0cvqmX1JWRz3JPvJNv908AH3rBcZBT1/6SR/KjuuHOldZHVFfvfRT65CxVjKkrfChoS7oUzlRFzpfkP628hD609dKT9mc6pj2q/jg3Oq80mfWFjIO0F+v4aE5pt+ak3Q5VF1axg/dh5Dx6cs8jdHNscroZYwEe32sfDmXlFf+oK51QK+rDzDG8yz7kmPXA31bOaoH5gXI3fVwLNHH6jlYWcWrOUKnw/jKf/rOcW2OmVP1v9KrMcBacFQ/wtgxnxmgL8jYYD9syd7X6ffZu/fuW96aJ3/oP/7qE+kKxnQugM8uf+tEm7JkLsqpQx8HrOaa/cj20+b88Jl5IXPt3dDXPEHf9NV49CWMr+aiz5RBX4KdcUB/F4VH3vdh+/Z5z+v/EObtxGzSzwH+4ih0C56Wm89FTx8LHLr+7k0WH3KAPjdK3kA8gLx50lfmoD3gg5uLWHnTnVbWt37Sp3rqZC4pk1fqy2oePLCcL4cxGavzyRopO27d8Zty9Zv+8lplv7mp38WFzlbSt3VJyCfXwFYeOSdZ5aF9ypJ63bVVPlQrUDY/c63zTP9iX+03xtZ8senyg1VOh3SzDl1MyPj6om917dTLXLu8ta05d/l39ilD9Sc1T32l/6SeQ+Z27HrofHe6Obc8uhiOgXFoyYl+fSWpV+N1+hkrde1TlvQP2OS9oA3HoTmlLFv5iDkYt/Mj1Krzk3I3p6xTjtfYCbHyMxCe3N27b5/34EO7T//Mz93Lv/SXf9zu9/z+P7CXM7d6QJc/bVfbnIPrlnNlyHms6mv8PFbkeKff5cm4scnHHOjrWM0FVv7NAZt6vfDBdboovOvRt51Itz9PvyuGG8Y/ZgTdgmeRu+DpY4FD3uTZ740H2S/4Qgdbx/KmqjmkPTHrWy9uvnzwKEs3DvqmL+OoD+ZCbse8vdqaB/3aGNM3DulLH9YofUr2pVznkuhvVQfImJ2ctrRAyxg6NTZjtW8rD1nFR+bYuubqcNBn/LSBHKtgW2Oe5o3WSk70q1zjod/ll3ZZs2N0c5z+rRpLnitv1bLLO33UnKXad2/haGHlTxxPX3mfpb9OhvSLr2PWQ6IepK9OF7prsZUT/elrpZc6NbY5midzWtX9GP+pDzkX4xx778IqH1jFTdmxvPZdfFjNCcjnmOe/mL/4+fqHv/q1+/aL/+BX7OcF1Vd3b9XPCCBG1hZyDkC/Y8rHzqPLw3pVWaqNMesaYJzYeV/Sh4xu9QvaKqfP6h/MBeo88e3YReChD7ryJv2RRx7Zt7cz8w9HF9zoPxz9jF/9Kbt//v++/qRnGIZhGIbhzuXFL37x/h9tXg9n+Q9H+WOXP/ADP3BD+VwUZpO+4EY36X7lhZ9s+al02mmnnXbaaac9uxY+79d+6u6v/I3/dffCF37o0XbTnk/7kR/21H9VOC1nuUn/tf/65+++4x/+/Ttikz5fdzknWLQc8MTjV/4z0LTTTjvttNNOe/0tn6t83YX2f/lb37j7kX/+/+z+m//qT+7H4Fg/055PexF49zvfcSI9xfd+7/fuXv3qV+9+22//wt1rX/va/fntwLxJX3Cjb9IffvRdV/+ByzAMwzAMZwffkeYtOpt0+M7v+ee7D3/RR+y/H+33qIebAzXnO+wX5fek+yadX8v59re/fb8x/+Zv+oaT0ad4xStesXvNa16z/33qF5V5k35OvH93337hwrTTTjvttNNOe3atb9Hlr37d6/Ybdzfox/qZ9sZbal7/ke2tJN+kf+onvPTqBv23/rYv2H32537eXobXve51u6/5mq85ObuYzJv0BTf6Jp2/OMpPli5cZP6l9TAMwzAM1099iy6+TR9uHm7WL+KbdGFz/k3f+PUnZ1f+IulLX/rSvezb9ovKvEk/J/hHFPmTJTKLmcNfhzTyyCOPPPLII59Orm/Rhbfp6lSbkc9Hlov0Jv3ht/3MiXTlKy25QYeXvOQlu6/8yq/cy+94xzt2r3/9xf1NfPMmfcGN/FT32KUndz/x5nfsf3/qO9/17mvepl+khTwMwzAMtxu/8d/4tHaTDvnd9OH84asu1Poifye94xu+4Rt2X/iFX7iXv/M7v3P3mZ/5mXv5ojFv0s+Bd1/epLMZ51+f56acTTsLmoMFzdv2kUceeeSRRx75sMzxw//8B3cP3Hf37lM+9dfsD/jET/zEq+ev/4Hvv7pB1/a0cUY+Xgbai/QC0u+kP+95z9u3HR/90R99Iu12P/qjP3oiXTzmTfqCs3iT7nfQ+f4cb9Q99wHCwh555JFHHnnkkbdl8JwNonzyx750941/+zt2L3nJi/fnvBzrbIX+9Dfy9cnAZj2/KXDR3qS/+EUftHvDT731pPdavuu7vmv3WZ/1WXv5L/7Fv7j/WsxFZN6knwO+SXch8+dz2aB7zkJ3sY888sgjjzzyyNsyeM5nqn+HBB544Dn7Po5q6+euOA4jX+F6ZI58e36R3qRf/U763R94pT3A/ArGZyD8sYVc1JDnvF3f+kcYMz7jMz7jMz7jM37tuG1+nj722LtPpKfGq17tn/bGWuC/aPjVF9qLwkMf9GEn0nE8/PDDJ9IV+O0vvNnnjx/damaTfk74e9JXDxp+4u9+ClVnxmd8xmdcZnzG4Zk+Drk5R0+w43CcTaN9+GUjSSuM88OAetiN3vF6QP35lkC9Xrea/O0u1wv/6PS+++47Obt1zCb9HPigB++9vLQv7eXVgwZY/Cx8bgZkqA+jGb814z6cOLyWkONwUceBsYtaX5jxGZ/xGT92XB3w+cdmMlGH8fSFnBtJx6dvu4962ucvwrAvcVN/Ubj6Jv2Jd15pD7D6usulS099tt4qZpN+Tjy5u/fqg4XFy8PG88SbgUXveOrM+K0ZTx2vJbAhdpzrysPpIo7LRa2vzPjFGQfXD+fP3r33wo5LjtPvITN+54yDrTr5vXQ+YxOej27yHetiTF/fB75Br+NVz+t0UTjtd9Lr113g/U++Z/O3w9wsZpN+zvBQYfGyiJFZ9D5oJBc/m66qM+M3bxyqji06bIiBPq+rXLRxoZ8DbnV9Z/zWjkPqcLCJAXRcPynLRRo/r/o8k8e7MXCjC7cqP6Bf2fHcmOezEHg++vbXMX7w05Yf+JA57Me/sv2QOnBetmANmBvtrezL2jlu7spA6xq5CJz2O+mVBx64PO8n7to98sgjJz23jtmknxMsYBY1Nx+Hi5lFD6vFzg2xpTPj5zfO9YKq40NLXfC6Jo7BrR7ngck5h7nDrazvjN/a8W59g3+/AdDNFvzwrWP6hZtpD7O+z37cDW2OQdrcqvyAfmXXS75JdwwYz8MxfsjTVpnjUP8xOqv+Y3TsB2tgS+63oo/PPXMD+0WZ64Suv2L6InDa76TXr7s89thju8fe/e4L8SZ9fk/6ghv9nZ0/9uZ37Vs+GPkd6f710fxVjJW8IVY6gN6Mn/04/UnVYdzr6QOKzcJFlSs5v1tRX5nxWzNOf+Jazr/fsFpLfAiv1n1yXvaysoOc362or9yu4/RDjtlXuVn5GT+fu47T0u/vSX/Riz7yGlvXij5E22wh9Y8d29Lp+o6xo73I5HPDOQDzuCi/J/3/+Pb/afdP/um/3G++t37/ub+95Yu/+It3L3nJS/YyvOUtb9n9sl/2y3Zf8iVfsnvNa15z0ntrmDfp50S+GWAx+5bCm5CDRe1Pq96YjPuTadVRnvHzGa/Qlwes3ibARZKd12p+zuk09Znx23u84rMpP2i7tYTtat3r3/a87M1/ZVfnp02OK1/U63OrxwXZA/xMor3Zn09S149j3XfSHVO/5g7IxKOV1Ad18Lsa27KH67Fz7Fa1h/BaoE+ta70vAv/a5/zO3ate9aqDf6CIDThHbtCBN+nveMc75k36ReZGf6r78Tf//DUPmYo3hDqcc/O60OlPnbyB0q83SpVlxtfjnX5S395Ivkm4SLL/tYaWD6+uFq4xxjiHlCHtskZdvWb84o53+h3osS66tUSfHLPOzsP+GDtwHrO+n2JrvNO31n4O5WdSgh32VYZVjC7eofEV6pKvb9I//EUfcTL6FOhtoQ/XWqef+VW27K/XDrLut0I292Mhf2wvypv0G2XepD8DYMGycL35aPlJmRsTuAnqjeCNYn/qKHsueV7HYMbX452+14k2397YB9l/UWQe9PbRdnMDbZhPvq2i9UjyvI7BjF/c8U4/17frGVgXrvlcS6mTY7Y1xnnY177OThiHWd9X2Brv9K2xKKPLZ1pX05Q9lzyvY3BonOuf6zWfw5Bv0v1sBXXN19xrC7nWOl1ZjVV7D7keu+4awM2Su5p3cu5n0s/tzkV6kz6b9HMiFyyLGejjxgQWtwse6k1ax+GYvmmPbzmsnTJ47ejrHppgP1wEWWofc5D8kMi1KLO+7qyWY2t9A32sGQ9Bv1tfwNghzsq++qjn6evQ+oZZ49e2HLUe1Nhaeg0YrzU9ppZwPfXlwAZyvSq7DshT6vU2X3wp2/pDn3TzrDpbY9pLzvk0dsB51v9mybZAvrIlOxfmq+2dAL/dhT9mNL/d5Q7GRc9N4MJGFha3/dzMLPKkjnOjH9NHTFohD28g9Mlh9J66FtYOlBnDXhta+rTBL/20HPZdlDZzsw7AWvFDwrkks77uHD3GYbW+cxx/HPjBFqr/1AHkrfYs7KEbT3/WAw6tb5g1fq0e1HqANfEcXfXlmFp2fUC/eUDtJ3dtiGtfzWP1Jj31qtxBXHIwxgrGzDnR3rGc85a/tFNmHtizlum7WTLtquYrWdL2TmC+k34bcN7fSRduEtjS5ab1YYSeNpJ9h8blmdB3aEyor98NhLRJPfp5QOXDyHHH8ru0t6Jv9aDMeQB2gC02dZ4JY/alLNN3c/sO6SMndX3nuXJ+OEP13+Ha2ZK3OGTvnDg/zfquc0p/cqh+W+Nyu/chS+plv2RNV+OHPqMg9bbocqt9nONv6zvpXd7ZB7n21DFmXZfdPZM6kHmqe4ydpP3NxJoqA+crOaGf+dwp30l/wxvesPukT/qk/Ua98tmf+3m7f/QP/t7J2fkzb9LPCRasC5q2/rSsjB4/lSapA/yUip5wg3Boi27+ZOu45/BM64OsS45TNx6Y4lsA6131Ex+qOY4dMmN8AOnLvur/PPuAuK6NXCPoc2RdtMlxbfRDrZA5QNlzmL6b0werdd3pQl0vuVbquhF9eeSa4ADtoJNv1N55ssHxvoL0Z+v6hZwTpL/TrPHUuRP78hlInwdQo1VNs47KjKdffRk79eyrbeon+ko8zw1/zke6vFfrI2MoV71D9jVPdFm/h+yyBgl2N6OFjJ1zWcmCD/pybrc7/LaXt7/97fsfGupxMzfoMJv0cyIXLAuYN0FSb1RuXmCx8yCB1KGfc/zkzUUfDykeAvoAxvTFja9PHmLPpL6srVi32u/DRz9ZQ9rU4RD0ecBCjmcekuNyln0ps978ULB1LOeffeI4865rS27kukzfjfXl9RP1unULuTagyvrv7GlrTG1Y+ylnn1yPPaQNOh7Qre+k+ofU0Y7cujXe5Xyn9nVrB9BJVnWU6tdzf8DCPnVss/7VfmtNAtdYtAPHocu7rg/k9A+pU9dStefIOla27NB33sg5Z/SEfvPUjnHiXq8e44eeHatxZUBO38PZMV93WXCj/+nlh37irVc/SIQFbV/KwkIXbp6Ozq4jfYk3rO2d3MdD6lCNAF0eLjwksbWvoo5yXoPMIbFfff5TZ73+Z9UHziX7TsOxa0uIt3UNpu/s+7bWtTZJXbeH5Mox68n8JPO4XvucJ+fH+OkwF/2fdo0/U8hr1q2xeg1uRh0zp6SulU/7xJftv+7ykpe8+Jp8yHH1zJZcH8roYpdxIHWl9lUfK3l1H2u/IvOUG+mDVX/WoRvvePmLPuBEOj0X6esuF4l5k35OdG+37Us54WbwgPqTOS03jXZbPwGnr/SZ7Z3cZ42yLp0MPkAFex6iPKT0zwNe8hqAOhX9qG9L7LPuy7nQ17G1XvTLW69OJ2Vxzjn/6TvfPq/t6nrkugWuqWzJ6NfDsdV6EnWTG7Hn/DTrGr2uHoCv9M99fMwafybISa6brj7gNaAPeVVHqZ9f0H2m2XLkmNeuPotBHcYk1wfj5Cir9ZM+bdNO8Od4kvbQ+agyOuTS1Ycx51tbfafOaftO4zPzzrFOBtvhbJlN+jnR3XySsqCrjbL/mRA454ZIW2707mFQ/fAwEPru5LajqxEoU9N6TaytfjnnIVSvAaBTa5526md7ln3A5iPHJPPZWi/Oi6PTgdR3rjDtzWkr9XpArluvZ67blQzY4MvnhfaJOrRVFvzi43rtk25dVzvn0a1P5Hz+eT926xqeSbJ1grpurDuo7zltHYPqN583qz6uG61UfcjcxPh8RkpeZ3Bd2Cb4MoZyrln9O6Y9vtKmk42Hj04W5sXLOjA+2O+8u/lfb9+xPmsdHFvJzMu5DGfLtat6ODNYsCzc1Y1cZXDhc2P45tabhDFuiArjxOEBkLqiXcZB9mEDd1I/sv1Q66NsC50doG9NGeOabr1lkpQT/Z91S455jWmVIfOp9QDXiFSdTl+Iw5i5GHP6z74f2X6uRXc9IMfQ9/quZDYHxrEPMqYyZDzlVbzT2JsHuvYde78Rzxy6sQq6qzX+TJAh6wT0O2bN7OPorg/Hyi966vh5Zh94bdRXF7ZyA3MgttTrrH83vLC1hrbWGvb0VRsgL+cHqW/slDu0qeSckfEjtSZwTJ9y1QN167WGzgcgW7vh7JnvpC84i++k5w19DLnwT4s3kz64YXhweOPnzfZMgA8N6m89mH+tb1cT7aqcfjoYrzUH9Fc+z0PuqPMG59GNSepU/ZzrqibD+VCv/WrN1f4tuvWwuq7odGu9cj322mT+nZ9DORyTH+S8n2lyQn9dV6s1pm7tA/1S/+qLsWOvS9LFE8ZW30kHxnOu5gm1BsDmFB8rPfOv/x4IrmduK8yb1rkT0zrav7peK7nLueo6X2twyIegP99JP3vmTfo54aJmweex9ZaDG8YbI8mfajk6Pf0DY8TPG+lQ7NtVri1jYP3FfqFG9OUBaYesX1E343HUmnudoPqUs5RrXpm3udCK+tC9NYHUSbnONWsx8tnJtWUM6rVfrbnug3TrWhMnx+iruXHk9TcmbcrH2lcYhxw/rQ9gI9G9GTU30d8zSc7rbF2AegI61E+6Ote+jAHVnjFira5Zty7tg2qnHnMRx52TOimbJ0cXUx/q1FqZR30rzljtS/8cp5EBGYjJWsa/+dgvx8qZH9TrlDB/WPmouXN/DmfPvElfcB6/3UW8CbkJOpnF7o2RcqXqreJViOMNeLvL4DkPxVW9s1bVttaOB0+eowNpB6t+cAwY16dvYLrf1nKjciVz4OGujnOmHuaubl1Tp1lf+Eh/I9+YDJ7TgmPddVcH0kdFvdW1Bs8zLzCXXA8ZV7bsK/o7tNa2fED6qXGTGmsVV393St+hutS6bj1bKjUGthnvGMwp/di38sN49ya9m59+qwy1PknmgHw9c7oe8pmdZD6rz4KVnHiNmHsdJ0b2dz66uc2b9LNn3qSfEyx+FjQLmQWeC5qbyxu9ypAPD2X1Ur/qHfPmCLSH210Gz6l39/YCso6wekuDTZ4DNjUm8BDlQZaxaEEb7XzA6TvfumS8G5ET8sgc0DFHwC4xz+yvcvpwnok+YOQr3IgMnmc/te+uOzoc9e1fvV76qtdXe8+T9AsZ3zHuhS17jkP3J6TvZHW/VT/mAIdy6+JWf3dKX1Lr4rXFBmj147njnQzGoK/Gg9WbZcnrg4w++UHVtyVvMVfBhwdkTsbw4PkMq7w4aj6p29kBdrXOx8r5Pe+sHTocyMzDa31ITuyHHKffmId8ZK62w9kzm/RzggXL4gZvhnpDc+OJfSx2Fr8L3xsydbCzPw8wFqziKsPt3lZ4kGQNePjWGkHqZX/VA2J1NayxVvXmevmAq76hxpfTysST7E9yzuqYZ7f2UpbVPJVh2rNtgWuR936CntfgmHXZXWPRf42xumfAMXyv7GGVG7rdWktWtpB+Kl1u3fzTNv1hB/ksuR37OJKsS9Y2nwWJ49DJGceauuZgdf1yXWoPW9dbHTaykp+njuMz51OvdeZmX5cXMrEYM0/o8lvZQc7pGJnrB9mHz/ocOEYW8so61HHjbPkQ8vKFk3bD2TKb9HMiF7oLPBcxMgvbG7n2KQM3ZNUB+9EHY3HzcROu4gJj2KMn+PLByrg380XUA/SQaRN8oIettep00eMgjmOppwy1hthBxtKfD1bI65WYx1m33Twkc00dME/6OlmcIzAmyo4Bvk97XUev10Mnr4t9ypDXA7/Y4g+Zo1uX2PshS/zqlzbRV+qKMY/xUXNDx5xgZZt2yrawFZMDMlbKoq76gP/Ugdupr7tekPO0rfUA9br6O5aw1nJzKtUO0LG/5lj1tVGHMTFnxjjwBfVa+4ZaH+pBxsjczTHHlbv5SNrJsTJHXgfH8bl1XVf3sTKkj8S4xjrmmQDoUYPh7JnvpC84r++ks8izPxe8N0aHelXHfm6Qzq/6Na6kXuYC9m2NJbeqD5i/D8eUodps6a7Ax6qGoH/0YKveNT56+S/3tT2mr/rJN0viWLfm+IDp5tNh7umrmyd65JdxwL6tsWT6ru1DhqojjifVdrUuJX3n2qDfdVvzWPXD1vqquSXpo/NfbVJftOvkVQ3wU8fTN3GNb//t0Aeen7Yu2KnXxUp55aOSdon9GQ+29A99J30Vo6PmX+8XbLs51vyOsbPvmHW5hbH1RQ72rehqsorf+cpYgt58J/3smTfp5wQLuFvstZ9F7k/ijHNwg9cbA716Y4F9nV/HuriSesoc5EQeSY7LrejLc/uYnyDX8WN1Pbwmnm/VENQDdHk7mW9sOKxnjY9P+zLOMX3iuHlkPo5Jzo1+c6OV7g0KpC9zSN/5RiXzuMjrCS5y32q8rtG8ZuIY0J//FqJjtTYg1xvot/Yfs74gc6u559gqrmCj/squyjUv5W7c+QB9ub4BHeRc+xdFT11Q3qrLoWcWfemXNu9tayf6oE3SLse6HCFjgjb4kIyr/iqG1zRlyPyx8dz1CXWOYDxIO+RqV/ukjtOu5MS46Ws1R+XqE4xfqfZgLHOhtYbD2TKb9HOCBZsLmBuBhe4iT7gx8gbjp1n1tKVdyUA8HiSJOjVu56faZk76SL1b1Qc1Z+bGQQ3Q36qd4ytdfTp/+sEY0vlWTr28rsrGtoUup0N9nR8wH+aCvrZS5wZ5remva1I5fR3rGy7qerrofZDXM6m1rjWmP23rtQLHqw/PQZ95vbUj37oOtnzUvNSpuTtXfde4+oA65lw58v7p7iVjQs5T6CO3fCbTZ3x9IOccAJvkVugxnvVa1SOP9KWc+nl9wPiMoUOcRB+ZB3J+HWaVo2ijjmP5Xw7r/QFZm8ybfn5gxVfqZExkz1c6NS/kmnvaoQPZ183XcejkVcz0Yc7odLIop61+aSHtjUPeYF/6HM6O+brLghv9Ty8/9uZ37R8Ifj0B8iaoqMuDA1j43ASnWfj6r7ar/mSVG3nxIGTcm5EWbkVfNy+o+lvzTN1jrlHVWfnmQZnXUPLaZj2TzEkO9SHXsVV9jkHfgG3Ne1UD5WPi5fzNv5vT9F1pr+d66iupttU3rPxvXfua51aOXV6QNupUv7DKt+Znf/WlXMl1fixbNpkPOa/8npce47V2ifXoaiF1frWWK9vVmPZJ6hEvN9yO5dyl2n3yx750/3WXD3/RR5z0Pp3Mv6PGsXY1VqdT6WJoyw9Qq7pWtEE35VUt6e/y7uh8r+a18oVdXjPsPuZlH3xydnrm6y49T//RczgT+CmUBexirwudG2r1k6qkLTeAPy2v5GQVd+VTurwcz/ZW9AEPuRwDcnUusjXPtM+3Cukz2XrzkL67awj0+1DOeib01f7ah988r/qwmkte107mgWs8bXPeqxqA8pZ/Wsj5Zzt9T++D1XrfqrXrcfVsQA9yrajT+cvnGKRd9VVtWVdinMyrxq35ruKmTq7N7E+9apNo71y63CvVJmGM+525uKnSZ8rU1eurrxvVy5yQAbvuGVhJnzk/jtTvbMWx9MWR8ZUT4nXr1TyA/vQPzFnq9TKHfLat+G//66/d/fd//k/vvvd7/vH+3HonmQts1bfimqjXqOZlzrR5DVLWpotpTll7a5CYT/oW5cyt+kFmLplD+hjOjvVTaLghWLAuchZxvWnUSfKmUObABl1uppWcaJdxs7/6BM5XeYl+blVL3jwYVrV0Llvz7KBOPGzSJ22CL/W2fDt2Gnjw1TlVWTiv19XW2Mestyqv6pNz0bc1SBm2/HfU/Ke9tqWuW+tdqsy1RDfl9FGvn/0r3+jWwzV2aA3UdUWc7K9xUz9jGYMj7xdxLDnNfWWczKWr/com+8W5mFetDf2pcxZ63QFsOlfzUQb9gHV3jvQfW1N0iSn4dQ4pC3ZsGms/4KvWOXMUbc0FjJX5pQzM6b967Vfv/ts/85rdN/z1r9v7zlol5pLrEZ2cU/WfaMPR1RLwBfSpCykzVuuY4/qAqpek7zovMEdIP15b+8gH2+HsmU36OcGCZYEDi7jeNJA3gzcprbL2qbeSJf1k3OqbG7LaHsoLtKUV50qLHrbnoUcfctbSNx4cYs7q5xg4Tgur66OO+jy4GdPukO8qr8b1K6tcqFO+jcl+fcLWeqOm6Fc56XKsvjlP2Vqs/Buj+sv8BbubsZ4uuh59yNdzLWmVofogTl0neS9Vf+ibE2Bb3wyubEH72g85J1E/80SGzFsd9c0P6vw6WXtIfXOxJnDIJvsr+ODoagPm79j16jmedQDyRKerAaQs2Lhxdjxl6GTrYExz/P+39y7Atq1VfefCRy4U2rwkYgt6EaIo8hBbEYw2YCCIhrQICEZtDXYJ0hqDL6BbA7EKsMpHKh3whdIJbXio2NomShQk2gaqbZSoJHa1vBQt30B8otj2/a27f4f/HXd8c6197j6wuGf8qmbNMb9vvOf3zT33OnvvI1mT+SqvqHHVZf2JNWedGWuVa/q41TUfcKN9Zz3min5+A4JuxoGV7db67Pbfyr7GdJ4zaF97D6mbfsnHT9clc8x43tscy1qGi+OGO3m4MFiwLGRxw7ColXOTQC7yai9sprrBVn4YcyPlQ6Xzfd68MsaVHCOvHIPsJQ/MVQ/Qd6ybT7J+ZEgdc/FIf1u+U96aT98cXS7Wrw4w7otSUn1wkKN+lLf6J51v46fc+TfnLd/oOJZ2V+NY3ifuDf8E/7fu8kG7Bz3g45b3kmfCs5751N21d7r17lPu/RG733rrr+99C/quhbqucg5fUH3nfVNHzEd/aev1IXvjo1v1gbGMAcrqwCH/VYa0B8ad46y/HO9sgHH8k3/Wwhk41xy7/l6O3qH7JKteKJt/xRphZasO8YUcfdE3R8Y4Ml/Q3jnOCfPqeCa21JrR0Ye2Xa7p48/e+a5LflJHkBnPWFkXGAuqbZejOTmHH3Trc1377I+y86KuvYdDukJO6ErWU8l1Rw3DxTMv6VcIFmwudDcMY8h1kwAbATs2bW4KN9eWLXR+0i7HO7byyqOOyUWPAfnXfpgndTG+ylm2akqqX456P7wXjq18p522h+b1zYOvyyXnwfE8kvQBqZM256nBHDiv8qmypO886phcbWOQa4vjV//TL+/Hf/O6F2++0e56/exv+obdi174vXv5Ez/5U/d/L1o9YS3kp6KuCXCuWyfqg2NS7z+krazsJWNA6rsGaxwwVt2jlaw5Ze216+oR51b7wfFVLamTdP1N/3JIr5sH8+MMqdfJntFPW+0l9VI2J3PIXDIeKKe+cZzL+F0uvMhKXYfA2kh7X3z1gV768JN0MbetNZZ1ZY5pg7wC+27/eXSxt/roob8kdVc1UQNgv+q/ctaeOQ0Xx42fRsOFsFqwbgjObBA2CjIHix47Fj64GSD9VdstP2lX/Xd0/oAHlxtTHEPfPC96bJVv5rbKGbyu88bKesB5yH4hdzl1vrs+O9fNmwtU3xyr+eSYeqTqMn+oBq4zBzk2H/1yQJevY3n/r7ax7CfzvDQI49lreveKl//Y7rue+2376w+/80fsvv25L7iRXoKN96CyNW6O2HOs8lVHtGVtpW3qQOohc6Cjf8/VPnW8XvnnUN6qh5e21VyNAzkO1pHnqpOs8uGcWEPXZzBe+gBiJ/YBDsna5pww5njKsMoRHfPUpuo6B5l7lwu+JPtrD1b2HPY8feQn6eajn9X9g1W+2GQeyF1fAB91XtuMnfnbK2tJv3VMO47OLzguWzJ+wPjkMlw885J+hcgFy8J3s6TMBmGxI4MbKHFj1Lm0rX5A3bSrPiDzUeaLVP54DBgDav5dLhcxxsY/Jl8e8ukn9ZiDOu81dP6gxs6fGUyq76rT+c35zKX6htW8fjlv1VPlqtv1r+YImQPru96fQzGSLl/HMperaaz2k3FeGqT28D+9/j/u/vGTv2QvX3PNLXc/9GP/fu+nQix7DMj5BTznV7I5inLN13HszLfauo8q6hFP1Ev9jNE9I3K+1qHsJ6qirK+tOVmNU4f/auG56mROUHuk3NWQuls+8nll/PSjnOuKa2Du0B7v7GWVIzjnWJc3mHfmkXVAfgqeeVS7rhbjrj5JR9d+pB1YO2flVSzOHlD7kr4g90faQepmH7t+d2Pa114Ac6uedXJS7+Fwcdx4dw0XAg9nFjIbAnIBp8yid7PwcHAzgXMcdQ7SNvXYRJJ2btCUoeaGHzZdxRg+RIFrzyl7viljmcNWvuphU3uePjIOKFd/+UkaIGc+2UfRd9dvMJfOFjr7hLq4r51fYAx7qPXISjf753jNwzkOxtLumHzyPoj+3lPr6dTHao+4B/lJ+rv+8t33g37/oyf+g907z/r+/Be+bHeHO9xxLwN63X0B5NVLKlQ5c3QdIjueOIZd1pN2jJub9Yh+qT2fY+o5DzUG1HnpauoOUM6cfa7UPOp4Use45ujuCdSYsKqhm4e0z+fYKi6yPURna27L3nnOssoRmHMekM3dvMGcuvsM2EjqpB2y3yxVjCt8U0x8fq/jGU//qt1j//5n7D753nfZPflLH7///RDyOtSHzJfr7EvWXe2BOW23vpYAY+lP2eep85D+md9aG8Y/RhZ85H4dLo55Sb9CsOjzCyGbg0XMA8HNBG4Qzix89Rljk0qdy83V6TGX19LJNbck81Omrsz/Spw7jsk36z2mlrwfHlD7VPNyvutNtQX86mNly7m7z1Dvo5+2cNgL9K0n+9PJqdtR88g1hk21yzq3YmStyu+J9XTq5w7uQX6S/gEfeMtLfXryl37+7s1vfvNefta3PG/3aZ/+3+5l5z3nfemOQ+sEOXFdZP71fh5jB7m+0p5z6jMGyqxF/NcYaQ/W0NUl6bOSOShD6tdxdPUJ5gLGVr+rIWM6n/mnvtc5Vu19TkDGTZ+J47VPcMje+exDp8d47RXn7KUvmthV2zzz7JDVMyrtJeOmj//qNrfZ/esXPn/34Afcc/97Hv/59b+0e9vb3rb7qZf/2P7PNLLvQP+1PseT7Is5dvbVLvsBXf/Tp2DHvOhb/8wjr3zLMbJ9hPQ3XBw3fjINF0Iueg4WM2NskIS51Xe+nS7kZljpqQvIbGg2bpU5utxWmw9Z3+jgh4dEPhSw8wGi/0N6oB5n43MGc13lm6Cj3/QFtZbOh/bkkr0S84CuN/Uwl+qr2ko3D/rCh3nbC77Q5KdFjG3J6GJTe8RZMg/tgfuYuuh5rPLRPzAvyMYRe8VZn9R8EevslPS4Vq8DvfwknZ5i823XvSz8zKt+cj/2+C98wu4xn/dFN3jR0C8xPQB/xHKes/d2JXfgz7qg3s8tO3NJudqLOj4fQf/kaC3Kzou63b6oNtWnZJ6Zr/4gx0XZOXxql2M1HjDf2Unex85H2mvnGEf1qQ9wvH7yvGUPOd/dL6hxJGV9YKM+Z2Xm1APWoWSczjZlMG76eNlLv3/3T57+VfsfH2NvPe/5L9p99VOfubv22mv38+y7x33OQ/cyvvCx9Ry1HshegPa1P9oCtuTH80JfaVd9gvPGrfteqm/3NHoc1aZbd0As/QwXzy3+ev4f1pab+l/U/sobfn//sKobSFjkLOrcTCz6lY36zq900y9kDOagyh3OAzo1HvP6SX9yU8YqtZ5DdePTsQpzXe86e0k/q1y27p2kH2McY9eBr5rneen6A6saE21X85Vae7ee0lfV59pzcnMZE3uPDjzlyV+y+zc/+oN7+c2//Se7H/6hl176OfRPf9BDd//qxf/7Xs7+09u8f+nPuMfeN8BGP6DMF2btV+u4s+30VvbW0tl1PbROQaeOAeOZf/V1TM4dqzo6MuZ546VtraP6OuQ3fbk2s2f6XOWUMbXr+lDjHOoV+taWtmAcxh94v7vtXvqjr9z/VSN9Vf2O9MGfOZU73vFDdy/5kVfs7nKXa/fxeQlH9797+KfuP1mHH/mJn9t93D3vcwMflWN6n6SP2k/nuEZ2PGF8FUf76heq70radPP6Yu7ud771Xr4cbuo7182V+ST9CpGfRGx9ByqMc+0DaaXvPHL3Hbx6kjKbyQ3FmQdQtefsvAdjNTdtk7SRY8bwxYOgnp23Bq55AB1TN6CfvjiyFtiyT2oukH6U9ce5Yg76ylw6u9UnIICPbv6YMc/mUntEjyVrTNCD1XyNqW8OxrRTD9KXuuTmvKQveV8by54rAz0QepOfpL/xjW/aPfUpT9rL/CWX5z7/X+/3Qvbf3krKYPzsdZL3jSPvjSDjR3tjHvs8qnG17/JxLdZPdiF7h8zRrTvwOsfxZ57pB2rOXW2dfKwumDPUeNnbtJHMN+sAfTF37F7OXDjjr/rMON28ML66Xxln9SznDOjpI221B/ogGU+97NNqraQPPkF/4Uv/7f4FHcgPyOnp/+Q5exle/P3ftz9nrtV/1/usMWXQDrKf4Bw5E0PSD2zdY6h+IeNyzjogbeq8OuSQeQ0Xx7ykXyFy87FpcqEr5yJPGVb6nj1WemwYNpN64GY+lFd9iOgHjMnDK/XR4cxD5Jgx/QN5+FDHp2fmzd/4zJmDKKeepC/odDp7ayd3xswdOXsrKesv69SXMKYfqXbmnmNJN3/MWN4DqD3iuqsR0Elb9LIu6fLQNv2mHmPq6HOVe7emTn3MHkDWVXuQvcmfSf/Cxz7i0i+Kfu8Lf3hvY8+AM/dDVvcwY1QyF8i8DvnjOI+t93o1zpl8cq5ivvYg88+eE18dxwX99EO8eqgnnawe50O65OAaMcaqv2lj3rVuUE9/gN7KL7aZBzgm6dNYjkEXs8aBLha5odv5y1pBe8457ks0pG/JPtWeeZ0+HvXYf7C7x8fe4+zq+j0k973fJ51Ju90vve61l3pqXZ3/2vtD9XKs7hfUGOroJ23QOeS36iDTD7/BQNdDag6cmc+6hovjxqt6uBDqgmURs0HYKHXRs8HdKOB8p9/pVj3miM9mAm3gmLwOffqinrbqeM74dSxf7rGvOKb/Wq+Ys2dAp9PVF6x6XefB3LfkGjN9WSdoo36OQWeHbjeWaOc906YbA2PqT7QB9PmmiXtlbRyZt+jPec5S8wD1E3S4j11fwHnHM+b7wthqzVc5r7Hl4BfZ5HFf8IQzabf/H0Yl7YwD5gH4qveyyoI/95V5MZ/+5HKeR8aErXFgzPEqi3HE67ruJOXOFlbPiayt1omNz6ItXci6gTh1DPQNmTfknDJxMm/O9VPt7hmHXo5B9bmqhyP7pa+UoasPqj8wh1Vegp10vsEcqwzI6eP3fvd39vuVXMCYwHq6573uu5d/661v2euRX9aV/pk75l+AIOOkv46MAemv67mk3y0d/GX8uhfAmPpgzp4NF8u8pF8hugXLwmcT5GIHx4FFz6aATr/qMlf16iZOmzoH1Z5r8mcTVl10csOiq06eV2N5QPrTp2P0IXOvcfPTd6m6+kq71LHXkvPmCCsZOn/W2PWRh73zYp7qalfHpKurrrk6ljFT1lfmLl1vme/qyj7gU798MUubjlXfhXnH8/y+MJYH5L2rvRd1eWmQr/iqr9nd737328v8Att3Pvdbb2BnjO7eQHcvod438H54re9K3jftj7HVZms87RyHGo+jk10z2Y+uN9owXmsAxuxz1lbr3LpOOeuSbgxd84G6f3JeOb8h5Dr1xVyAmPrPscwFfb9p7+pRR3vo5PRpvtWea/WsN+2d046cpO6hjKGcOo6ljzv+zQ+9UUzyAPS05y++oJc5VVbjUOs1jj6Tro6Uycl7JDX/zu8xOpD31tiwdc+Hi+OGq3q4MFiwLHgXtDDGZsjFDm4O7Fj8wnjdOKmLzCb1QeLG7eKquzUPzPlQVle/sLUZ9VvPkLGrP2LbF8fsg3l1cfFj7h6QutUudbLXkn6gy5sz1JjpD506hu5WX9HVDj2/EWEMufZItME/ch3r7rtjYOzE2ojJ+vJav7UuDjAvrv2GpLOppI8tsr5TPsPWmpfsizr64KVBWA//8qUv393udrfbX/Mn4V79H35uL6vPueuzvc17mTJkTqBOzd9You/85Br0W9ee+un72PFVvisZH/YD2f0E3fpP24yT/TSfKsPWtXK3Jqqsfv3XAOvIvCF1jVfzTtCxz9nX2vuEeY+8luqnylkjZK9B3Zwn/xzP3gDjYq2rGPqr8+nDT9LBGPYVvQ+85vpfjOSXS9HLmo6VBf/GAOJsfW2QribRpwc+qg4co5OgBxkb6An31vNw8cxL+hXChxLUTcdGdLHnnIs90Sbteci7wYDNlZuHze5c2kPqVr/K2kL6Vc7Y1bbWDepk3ZD+wNzc8PoBY9a4KdMXUM9+dnaOi+Ocq7/aX+XU7+5dxk0Y2+qDdmmrnLmkTsrZO2Tq6O579bVCPX1mLGBcn5C9wBaqDaTdeWRts85THEfOHkP2G/26DiH185N0dHnJ/Off9f1nI7vdV37ZF+5jZeyUAbnmU2XvT81llb/+qm/suQbn6vOu21f6gDpe9dEz1+xhyhxQ5STjdPpQryFrPiSbe5JxoZP1gy7xrU0yb/NTF3JcMj9A3w9j8Ge8mkPaKa/qwp9+Uu5q7HJUl1pzHVcfjpO7mBM+M0auC0lf6cNviq/Len8GYmPL+a2/8Zb92Efd/aNv4BN//H11/krMve5+x/2Zg7+vrp4xV700Tua2qqOrCapP5m+KTuZpvNQlZ7/xzbyHi+PGO224ELqNBsgudI7ukxJwY0C1VydhA7Fx8cn8yh7cZNWvPgS99KucGxeqH+lk/NQj4dqNT7z6oOCs3qp3gF6O1XxX41L9ES97sYqfea5k6PwJD8/UhRxL/U531Rdtsk7GtvosWzEZv5xeqCs3V9ke572mB+jkGgP1pH6Sjh3/cdGX/A9fsR/7vd/7nf1/sFJjE+P9d3+x1/+Bl/yrSy8OH3OXD96fGQPj5X3hnNT8YVUrtl6j67pIu7qvIH3Alr5zxnKtVd1cpxyr2vQnKztlyHy35Hp/hZjZ063+Ejd9mTM2XU3Q1QDpV/RnbM+1FslcOrQHZevzDOZV88cG/8SpvrxOv1JzQgffNV/9ZE7ym7/x6/vzX+3+xv6c/NF/ecfuN996/fyH3PFDL/nEnv30gu/+Z7tf/rXf2/2/v/HH+z+X+sQnPnH/51Kf/U3fcKn/xN36ugWZm7lmHV1N9hJyznHOl6MjGVtd0c77Olws85J+hcgHEmc2Wn0gAAs/dRI3SdpWHcEP+rl50l47N1nNCbnzwdjqExEeNvrWTz3XGGIefDFZUeMp+5BgPv0n5pVkP5Ic73KV2h+uqz7nLmdQtu7qT7LurLXaw0p3VQfXHpI+oPrjUIZVTHzmveC68wvKaXOMXM/ntX9Py2LP7CFzOS/1XvyXd7zjTLr+ZQAbXtaf8vXfuPvYe957P+7Pp9eYvGjw6d4LX/Cd+5cHXhx4geA/aXn613z57l9827MufYoqyvXeo5cv3BxZp3GVvXZdQI4njjtnzFoPOGcfyYG9kPZSe+nzCtKPcrenoJPxc57738Wz91zn+sDOA1JOMs+Vb8m89aVu2tkD9S6nLuWEXLtPXFf3BLpx5zxTp5g7aMt5la+5pA/20rc85xtv4Eu+53nfdibtdp/1yM+9wXr5/C/473eves3rL+0RfD75a75p/6Np/+fPvHI/Ru8A/a6XiblZZ9ZRa5K8x0n2+7w6XZ7O572C9DFcHPOfGS24qX9Y/9fe+ic32ggs6GPGKrlRgWs2D5tiy5aHyB/98Z9e2jzaAHbV77Hol4cupJ9aT72uOUHmdaguY4HxUj7kK+PXGOnrGGptSfYo5S7GKid1hbmtHPGTX3Cg60fKXR6ZZ2WV31Zuq15A2hwrp/+8PjV5Rd5v6O4FoPc1X/GE3Q/+wIv317xgo0MM+IM/+L3dgx94z92f/emf7q9f9LJ/t/v4e3/Cpd4CPuqa4IvuJ93ro3a3vvWtdv/HT/38je6L/pOamzrmc2htwaG663y1l1rTSg+yLqi5Jqt8a3+g1t/JcJ54HbUnXW+NWUmdlZ9K55ex89QF6SfBrs51vtCpOUO1RYe1zH9m9F/f+SPORq/nUM344l+bPuADb7m79k43/E94+JeqL/qHT9zd+c4fub/mm13+J1Lgm+Mff8Wr92twq0540pc+bvezr/qp3U+86rWX8qs9yPpX/uCYtZA63Xiu5S0dsIYuJ+d4lmDDNyecP/5uH7IfvxzmPzPqufG3i8OFwAZi0Se52FnkfCeqnDjHmQNffhcubtTUqzIPEfVA2Tw41w3Y+aly/S4f0mdSr7UF5/LTlMzXmNlH9DzyWrp6zRsyfq2t+2TDudRTrrpJ9ijlmi+scvK+o+966uwFP8576Be6PhsPujwzB22Zz345nnKy6gWs7LfkJK9PTRb7Zc15v6HeC/XZv/l30uk343KHO9xx963//HvPrq7/+XTQBxALruv8pdz4YsqLxu/87u/ur/F56N4n6NRn0rH1bOllX7qYqZf5JakHWZdkjFWNkLbVD/rarGTZime++YxzLOOKsvMc6XNVz8rPlg3XjqUsKx/qZR3K6HSkL+0zZ2PoS/Kbtfr1dqtmY/CvTemDH1GBF3zP/7J78APuuXvkwx+4++R73+XSCzr/2dE3ftO37G300WG+r/2/fm5394++x/5l37w7O3Or/Ur50P6BrLkb5/oYHcg+AeOpzxw2vNSnz+FimZf0KwQLloULubiVwUXtRujmIH1Bbp6qJ8jq5cFDsuayygs6n5C+0ieszmIuytbmuP6AmMybX/rioZxjac8DEhmyBqjjXPMCy0NQf8aD2gPJnFIW80m55izO+8+lYO0pH4pZx/BpP2qfIeuBnMNH5qBvyPGsqcaX9JsyHLKvPTvlM0etBbo+b61TZObzfxzNL9LaPOKzH7n/8RXw59Nrf5HzZ2zxwX9vfu1d776/5ossuaYN1+h5j6HWU9fToXpAXQ9IPcbwc6iHNb+VHmQsZY7qo6PaZm6ytX6158h42oBj2jomxrW3HN1zAntfmDo6P5lT5XLqAnUh68g8O19db2sMxwQb6WrQb9Zcnyfp41Mf8sj9f/l/7bXX/4+j7BP+3CLwF11e+iOv2P03n/TA/bXoJ88c//n1v7y3/duf/pBLOTjX1Q+1X5K15wGpB1vjzh3S6e49ZB6iDvUNF8+8pF8h3JCSmyEXuotd3ZzDB5u7bojc4OqkrrJow8bjQdblAqvYXR6AL74o5MuDm5mY2Jln3fDksiJzJKY+MgZjqZc+HUcHew8wvvU4jg2y/iBzWPWj09+qteacepzNwxjCmGzFhPzEHLIfYLzag8yDo+YAxuv8S82p+q1y/YRolT+gT06chTzpMWd8Yvve0oOuF8w5L3lfnM+D+fpJunOgDv9d+Yef/VM6P1P7Qy954d4nB/kqAzavefXP7F/o/87DPusG+WWNxqqkfqWrh97UvM2L3jnuHOT9hoypXrWBTq/2wLjQ+ej0U67POsZX+Vbb7GnaMIYOdDVA9tbr7C2kvhg77dJPjZNcTl2SddQ8IX15PzLeKoY+zJ/7IfqpdL3LOPjgR8U4+F9FP+6e99n/fPm3P/cFu6/4x0/bPetbnnfdy/krdz//y2/c3ee+1/9nRlmLcp6p+V98+7P3n7z/j9f5OKaX2aeVLFt92RrPHjmvTrLKt/MpqT9cHPMz6Qsu4mfSITcAGyR/5strFzeb0Tk2AOSGYL7bCHWToctYtVnlUvPK2DWPQ+ArH5xbZG7KXY68tNW+GePYHPXV9aJy3n6kvvNJF6vTg1WMyiqm9lv9rD1I/cpWDpVDfdjimDjZl+r/FMaQpa6h7H3qSTfPGH8H/T/87E/v/TzxyV+9H897S2zOfLH8X5//vP35sx756N3d7v4xe91Euy/7h4/ZvfInf3z3mte9af8jM/qRLj/JPKFbZ1L7Um0dR6/z4zi1HxN3pVPp4sJKP0lbccz4ec/zWZi5ijbdM85aOjviM75VQ61nK361Sd2sK+uWzq+ov6oBVnkd6h2g1/1Muv05RI2T8KJb5/Cpb/PPnjGG3dO+9it3L3rh9+5f9B9x3X7s0D5J/5Ay1Pvl3E0d7+47qOe6hM6nY/Mz6RfPvKQvuKkL5lfe8Pv7By/fkSZuTDdDblQ2d9WX1KsbqW5kYfwYn9imvAV6qy8Eypz9opPnzMN4le5hkbqO8zJS9ZLMU52uxk4POt0tqj75re6//WFupVfp8lzl6Dgc2wNhvMsp40MnY1v9p6+VvKKLmTadj1Maq73w+tjeAWPsYagvDNqmP18s8JE56fsbn/6PLr08fM7nPvaS7nnQF+TzhfF6jyqrGiVrSbI/SfYPOp3aC+l0oep3titqfcfaZi61luxJ199VHaI/QLf66OxXfT1UV+c/OTSfrO4ZOeT5gfe72/4l/a53vfYGuthn3zq51geOQY5DzkHO69dfMuVT+K/++v/50h5Dt6v9POsLjLnK5bzjcOx7gqzG7n7nG/4C7nmYl/Se/t+HhpsMm7Vb9CzqXNjIbBA2L5uZDcti51BWz4PvWusceJ3j5FB9if6qLBlHH+ADDlLmu21qsXbPjNdeGM/ajZ3+RF11yAU9r4/JE4x1SA8yHnQxOEvV56Hb3U+wL4yl3PlX1i4xZrcezKWzoQ+dPgdj5gRdfPSoTzKGfiB9dfJqvStD+tYe9OE1nNIYZC9AGV1Juerjl2v8cjivDrbI3gt1OdecuOf8LWde0L/syU+5wQv6am2nnOSexb96YMyVLTar9QfY6z/jgLZbz4uqw0Gc7IU4v6Vfbc/zHGA8n32dvminLShnjVt1eNR6wLyh+qg2kDEhfcGxz7fzznMGzpmn8+bgmbwla9Jeqmy96HEgg2fGwLqNZx7dPD1hj/GC/pCHfubuK5/yP13aY5I1AX5y7ND6AuNVzjue97zej6Szr2PY2LvhYpmX9CuEDwDIxd/JbGQfHPnPSj5YVvp1LmPmOKx8bclsXO1Amc1JLPJ1s7phsVH2XOliIFdf6vHgSlIHtvLc0uOhqo56mVvKqxhV11ztwyovzxzYQqcLaadtkrllDupXm5U+dPpdfHzUNQDZhxxfyV2dkDEzjqQPOZUxe5DrQjlr6epKfUgZnE87/qWqUnP6l9/3Pfu/jf53/u5n7572Dd90g5eH1doG5cxD/cwr75fj1dbcV88vc8a/L7c1To6pz5FUu06HOWNv6VdbdcVnCKRPjrQTbWtPcg+mH3CdeE46+62+QZdX2lhzravGYD57kf6NvZqXbp5YkHrAPH6zLtaSZH5AvwA/9VjdR2Mgg7VnzMwz8/nZn/n3+z3GX0767u/73/ZjibGTOlbz6mJdhAx5z+W88ew5NWTew8Vxw1U9XBh+qsxChm7jAbIblU0DXnOA+lzXF0uupYuRutDpwErGzi8Q+mGDokO+uXEruZlThi7GSq/GSVlqnukvSR0e8KuYcqgXtf/eQ+lsEh5ymfOWnHnWuvRLDl1dl6uPnjnkOOf8lJA6mIeuD6BO57urmwPd9Jc+OE5RBnIGalitkZQ7W1Cu82mXz5rMQ/kXfv7V+0/3eHngx1y43/ZWau9ThswJGHdO2Ry2bJHT1mttE/JTL0n7uqZkpcNhHPMyDsdqfSVZH/eh8wnVPnOqPfF+Ajrdmsn9VmOmPWQsoC5yhpqXoO99YO5QDNAm1w02dUyZQ7zOecjemKO6HoKt1PzSD9S1gh9ja6vvWjtkfI68R7/11l/ffekXPmq/x/gLMNetpBv54rySE+y2enJRMlhLlY/1leuRfIeLZ17SrxBsPr4YuqhZ/CxiNl+VK25eHipuHPXqg4hrfdVz9a2fVR4pcwgxqCMfJuianzXWh4/UjQ2rGMIDUB3jdn7yIZd5pr+VDr6NA+pzfWwvuE7djmrD2Zwyz2NkyJz1VddKV5cxtcn60n/Vh8xB2yTnjVupPsgZHM9+GNf8JH3AqcqZNzl3ayRlSNtu/eW8KK/68ta3vmX3+Ec9bHfPe913//KQOukHVvfBHNRnrK4lbXiR9LmXtqv6vc54wpxrrYsHWfcxOqCceam/0u38eQ2dT+Rqz5HzyB3EYN4jY0nGFPS6PhyqS13u3eqZuALf3Hfj1DVQ+2Wsbv9bLwc6oD7n9AHEEf0B9lv3to7pD6xVXfMB9NLWue9+3rft3nndOH+y8V53v+Pub93lg3Yfc5cP3p85+Esv5AL6hZqP/r0PYIy6bi5X5oCsRTm/jhzjK8m6hotjfnF0wUX/dRc2AXCdcsI4GyAfDoeofqsNm87fxK6xt2TzSH/pC3JO+4o62vIArzlJ6oB58LCqtn5RkPSTHKNT0QZ9c6i5CvM5vqVf+wfH5rTqTXcvOqwpWeW31VvHV/FqjV0vDvmQ9LWV66nK5k29q/y72m5Kf3IMnvVPn7b/j1lW8PPpT3nqM8+ubkz1l2sOiIsOLxWrfHMtpf1qn0jadaTdSjd1rIV7BNVmpZt6q1xF3UO5MV/HD/WjcujeJPpc1SVd7FWcY/OU6ueQPfr5Eg7VBp3VX3cB9Os9qdeQuR0aN6/0x0trwjxjnh1LH+e5D6t6zisD16u1kjpwHl+c56+7XDzzkr7gSv11lxUufnETSG4GSLnqVvSNzaGcah7GyU0Jq5h8N76KkbaZ08r/MXLCeO1RzUWdY8aNI4d8Q9pUfWQe2J2NdeW5ou/sAXS6gl7munV/IGMk1c8WmZvUXlQ/+q/9kq257MepyV2tcowOoLfS6Xw4BvnyUF8c8mzO2duUK+h3dLkylj2p1JirXnRrt8a73PXdsdI15jE5J8c8G6H6PiRXyPfY5zAc6hlkfnJsnun7PD1FTnvydF577Lq/7sJ4jXEIc1vlbE6H/KJ/3VP+Oq1r9tcrff06f8x9uAiMC8S+KXH15de1j77zB+2vL4d5Se+ZH3e5QrCZu0XPd9BsChY3hzLwEGDTsOCrDviAgvqwAv14FnVWOYF5Eds8IGPCKj9lY+S4YKvfLf+ps5KP7ZH1Wh/keNryqQbjx/QifSSZZ9VnPP2bOzEY48w1OJ+kb+Wte4EM5spY5p36kjGg9o0Xui5eYl72joMvAtLlAIwLcuaymnP+FGXIWiudTl0b2ZvOT+eDMfvPmAdw/3iByDMcugd55JqTLlfH1E/7Q/tKW2Nwds7rLt7KXswhyZ4n5uqcPqHLOak+Oadenc+8qm+psjb1yFjmbBxQD2pesLI5dN+kyulbP/o3FqQdz2L0fCabJxgf0JEaJ+n2Feck6+p8ZX6dH8/o8z/8amd9FebVwbbGTf8pS7dujxkzLgdjGZfrLfs6rx+/LgwXz7ykXyHyhSsXNpshN3vKvsisdNgM+OXB5OYA/fvwk4wLmRPkvDE9M2YM40jNj7w7PXWMYTw2PVT/dR4Y85xzWzlkjyT1cxzSD6DLFwcePMwRe8s3mB9njtRTFv0D836KkXko196lTC9WdqBsrpxr3qs4XZ+172JU++wd4GfVu/Tf6Ri3ztVc4b09xlm5q7XqdWuj62/6OeQD8MMaYx7QB/z4ApEvElv3wHjWmzmaB3S5Mqa+enmNbhcT3NOgXlLjqVPzyV51cleP86zjzCNjdjlL9Vn16ry9Raf6XslgnrkWAT3G0FvV5ry+kmoDh+7bVp5J1g7K+tQGPalz5uQ3mZA9sMaau9T61F/lnPHRk/QDGdfY6GSMlOt9r2zlXNfQsWPZpy7ulj3UeQ58pM5wcdxwZw8Xhp8EsJAhFzALmjkeZCnnd6NVh4PNgB82DbDZ0j/2q7jY88UG8LPKS5SNgU2SuZGPPo3NuD4yRuYvtY7OX84J/s3D8dqjRH38WY95mmvSzdFD7xM+zBO6OpnnnqzyAeesxTNUn5I14kebTq65ctbOHFa+IfVAv8aAaq+N86s+pB46xq7rrpsDx5g/hTFBPs86Sbp7eV4fkn3NtQCeV/egxssY6IJ5cJ25OqaeZ8m5jCnMdf2rvvUBrotDa1OU8bnSZdy8jMdRc675QfrM2mQ1n75X8rF7AMzZ5z/kvHacQX1AL8m5VW4pr8BH3ieOuucTxmqOgA+p8brcD62NLufMy9rAvKH6yTjKzgnyMWt8lTN66uTX9tUYYJs11p5rm/bA9VbvsLfG4WKZl/QrBAufDehCduELG8U5ZTZBfvrleN1Akj5ybmtcuZsnDnmThxs3feVmrrkB14zXzc3BBsavsZKar+ivmxPms2fGW5H+rIdjS+ZBJtjjXx+Q+dU6t3KpWIs56id9rvqoDTl3sihnjZ3/xD6oj+za5hq7Lre0q/mC8/ZXP5B5o5N+c44x/ADrTh/vybHMpR7OQeqt7iNQn2t6df+2fGCX9ws9qD2FTjfvf8arMOYB1X/uG8B3jhl71QfGutoz34xjfM/Mm1/2qpMzj5xPMh5zdb7LT1+JfjgDOtmX9L2Ss9eM6SvXZwWbVW1buafuKveMmbKknXI+Q6Cun9QlD+dAG3xI18Oax6G10ZF5pS55WbvjnCFtUjamB2RdytYPWzmrh47jaWc+kDElc7Me0ads5YGcdQwXx/zi6IKL+OsuucBZ/N1vjx/LIftu/tiYqQfoutG18xq2fHV0vtjc5+mFPrbsqk7KVb/WQw944KcsqxztGy9UcGydq/FDYHce/aTmuqoxY2SeHeipz9mxJON09wWqTbLym5intcFFjq2ueSHKnoJ9znt7aJ0cQ/UB9pZcur4mxCKu5y26vLbqyjHo6ssx5JpnV0ONY+3WLRknqfWuZNCHNgljmV+dT9KnpO+t+5Nkb6H2JMn+1Bhp19VWOaa3nc4qbpWTVS5bPayQy9Zfd8n6OzJWl3PWxn6nbn0xXmX9reLlfU2deg+l85MxOhm6a1jFTz/HUmPTo/nrLhfPu79tGi4UFiwbQup3rCxqjvrdKzieOjwcVvacO/9bMVNO325SzrlhvXas87Oqo/uU4pheMCbab9Uj6sBK35z0m58aIHP/urwT+2vs9CddfKjjknKlywX9Wlu9D1BzXdW4yp/x1Oewj57T1lzyi5q+IP1KV0t3D5yzTuazNs4XOQbdde0pOAbWcsw6Ya7WnjJ95CUhwa+5ijLj9f76TMq51FHu2KrLsbwfxgR0q+/Mk8NPgKH6rP3jOvNO1AF0rFe9TvYaUk4y38T7wznrRK/rZ/pZ1QDZW8j+ZEzI/qCz6mXNBTpfW3lBp8M58+1kdKpdxld2/pAusC/E9QfaZP0Zo65Vji5n8+Hlmbr1C52sL6ixIO9rztV7uOXHcUg9zvbMvB2rcQAde6Jdh/HVNZeMDdm/4eJ49+oZLhQWLBsicUHnYk49NwCog40P3ZW91Hn8bdnoW1ldwFbYkHWTQvW5qqPrwyovdLX3YWMuW3bCwwYdbJWhi7OCeDyU+QJQ6zYXyZyyT5BzxnesjqcdsnS9TxmOrS3jYn+oxsyVsfTtNfZ+AXM88zIe57wnyuhXG9F/zc+5rNM4zCPTN/wDdsrn0XP91bXEWRmQsRXn3VuizbH7SZCx3bqvmSMHfrNH9VrZe8d83scO8zc3bHJMP6va9G2O2kKdg84Gaq4ZE5TTPqn7FFb7DIztekgdsB+QMWt8/XBgv8pP8p6it4oJ+gV95liNtfJlXlvPBc7dWiFW5nxoTQLjuU+cT13jOw/YATGky0c97aD65QzoZs6gbkWbegbXEnT2K9+ZL3R+zBm9uo45o5fPZMbqvcr4Uv1zVnZe1AVzsG/DxTMv6VcIFiyLXFzwLGY2CfPKiZuBcefqBqv26kGdX8XUBt/KkHly5hqdukmh+kxSJ9G/vdHeM2CDPQ8b/WDDAwGYr7GNg37mjNzpS+aj7Dh6xofMJfU5Q/apy9e42mUuNU7nEzoZH8fWppx6nc9qV30je1Qyr4Ra+IKBz601VY+VnuBPmO/81xfmY/TM13VoHM70hPtLHsjinL5z3rlc16CMbt7H7p5CxhDrcAybtOuuk3oNGUe55pZjsqpN9OX+SGqcjm48Y3IP0VnZ5z23vroO6jysdIjT3auUa81dfurUeF5DxtQ+7Tp51cvOlzJHVyv+AN8dmXPNP+Mk6NX+qattlyuwlyTXU+anTXePXCuSOWsnjOX9sbf2RPQBaQ/66O5J9b/yY345nz5Tt8YQ9bq+6xMyftc/cvCbgLQbLo4bPyWHC8EF68YDxljMjCknLH4ON76btVLteTilvvOHvqNO9AHacnZDmhcb1TxrHuI8R82Nse6Tk5pb+oAaJ2MjEyPzg7SvuWoDjIty9ZG+On1JncyNc41pLtU/NSSMZ22H7sNWbdqKPqrP7h5J3lNjcYb0l+MJ855rXOjWTNWrOsjOcQBn7VjP6Dh+jJ6oa01gT4jP2q1zwny9B6DPPNTVr7Iw1sUQa0BPXc5Se5bn1FeGmnvmls8XoQ7zSLnza6+7OePU+SqD/TPWlq1ok+s8fSBD1g9VhwO/5gxdbDhWJzGG8lY/AZ2tvSv6xV/Ng7M6q354XW1A3ylvPTM447dbD7XXoi3zkr2FLkb2An9cG4szB/Egx8X6wZw54yv1uO56C6tanUtq3V475hk7a1v1OmXgnHaCz9r3lS7o274NF8v84uiCi/gfR7sNt8JFjo2bAhxT5gG82iiwpXMIfRzKE1Y6tQ7HoI4L8zmmj2PryJyU4Zh+AXY8vKruVh7H6mecZKtebRjr+ph1ph/JmF1tK9s63tUoGUNW+Tq+kvmCUGNUW3zW/DKHzkfCF66ut1WuZHyoOSSrOfvIL2zVfmJDjFWfk6y3iw+pI10Pjekvka3AZmsdbEGsjAl5n7pcwdpW88nq/qxQP2VtRR91PNnSOVQXHKvT5WsP00fNY3XP0qc26WdrL9YYaQc1126tV6pepyPEZ772aPU/jkqXS1Jjdv1NH6veMl7vVUfXd6m1pZ+uV6vaOt/Jyi7RR73vHere/c633p8vh/nF0Z75JP0K4cZigXOw8dnELGaOKoM2jLkxcqMjrzZV6qtz7HfUYq5QP3WTlY4+IXOGzK2D+c4HdTjGWWpumRNkPHtR/WjDwVjXN8hxqfr6hqqPf+49D8WUsVnZoQeMJeZb5VU/OGqukLZJjmO39S8v6GVd0OULOV5ldLoYjHPwhQTIxzFBNgd82E/7kGz11jw89Olcog6s+l73BT6In/1crbFq2/mvMRLmVvcF3RwjpnP6TVsObDI/2MoxMVb6TT/GqDGlm1/VJtp4bOkjO55oC1t9Xuk4t6oL6rxy9hS6fO2hfrHN+JzRPc+ntcbP+yPGgVrrVm+rr4yTNnVNpI6HNWpnfMalW1uw6oU+Mkb2oPpgHJuuNscFWft6SNapnPlB9WkOOV9zgfRZZcBuqyeArvqrPa8M+B8unnlJv0KwYNkYwkaqG06U2RDasfA555gbRupmuZyY3caDtD1GB5Rzc2tj/nWczQ+Opw/j1DxqbvowTsZLqp+am6T/HF/pQ6cv+OMFreYOvIRiU+0cc9zYmbd1136kTpdr56vK1QZyHoyrfpev8XMNH7uekflCoo31JtlbqH3owN9WHtlPdSHzg9r37n5U37LSyXFI/8Q1B/qyNec3N+Zvrcxnzc6L8a2xzsOxOdac0m/qZEzH817nfMrmZn7app+tXmzZcYas9Vidug7U27JLGZS7fCs1vrocK5/VFz5yH2WuKdc8D/W2oj2+ujwgdaSOacf9le75YAyOzFu5ux9ec85+gr4S9LJuZdFPzS97mTLk14Wup+rWXJKsJ2X9cmRM5WPue8rmmmPDxXHjVT1cCN2nkCxkNhubrsocwILnwZP2LH7G6uZxTpDPExOqfXKMTue7y9G8eFB144AP/aCzyhXfOYYPxpBr70TfHH5hgZqDHFOLqAvqcq6YM2dtutj2qIstNQ99V51j140oq7tlB/ZUuvuLfSfLyj8yvjubinmYC/quI+yNwRkO+dy6/0nGS1+MGz/zSDLfRNtu7XOdX8Ahc0JmvPaX8bo3srbMLX3nWkyYX+UIXU7adL3UFzBe74v2ytlTa4AubtcLxupalZTBuMfqZLzMFVZ2oK495ch8xXo5i35W8dPn6p56fagn6dPnC9RcuzzBPGBrfakjOaY+eUjWDdU3ttkLyLpAnexB9wxNWT3iM+Yeq+ur5gfmAZlf9rDaopd5Zi6cE3WV0ybHVj1JuepmrtSKPFw885J+heg2DLCgWfjMpSyMuVmEa45u8zDO5mDDVDtZxdRv2uuDeWpwvNMB/VUZ6ssEpE6OJ+jwoOPhuMo1cwPnvU6shTPg/9ieSVeLVF1lY2Z85awNUmcr9lbe6tSjy43x9NXd35Wd85mzsnWBemmTcrLKy7G06eKmrO3Wfak9TD+wdQ+0q/Eq+Mh1DDXXlYwNMaHGxa84fuy6SLzeyi37cEyOqzUl6U8bcBx97IgBmYsyLwT2Vs67R6DmknbqGLOraaVTWdXc1ZY9hdRPuntibhXjo5PXoD0Y51BPIH3UNZB0eWbMLpfU6WTuv3Gwh1vd6t09k+rbdcMYvsy35px2zru+wDlIvTxD9SOrmgAb1jXjgN3KNv2DcvWdcvcs6npyzH03V+XMZbg45iX9ClE3QpILv26ChI2b9uixcdhA2jFHLDYJcH2emCt7cDx1Ov/6AmRz1GfFeXx0/sQ8a648aHg4dDV3MmAnjHc1c06y18TsYkjWbb4Zs8pZV5dj+ss80TmUy3nXTcpSbZTR5ehyVjZGkjlpzxnU52Asc+nsIGPlS02tw7zznDqdT8n6u55DjddhbZAxtmT0ux50ML6VxzG9hy4f9FbzmSNkHilXsKO3tSb9sbedhxo3fWKTedQcVnWL9mkH6kP6O6SzwrWETbUT5KxFuv3ssbX2E/VF2fidb8b0ac7qgXq1H9UX1DqTQzpVzhrpDfzZn/3p/lxJ39plXqu9lTpQbfPZwLHyc+x9z5qg+lzZ1lyg+hZk8/Vaap7MkZNxOYv2CfPYDxfPvKRfIViwLHw3Qt1sKfugqbBJqr1jyJCbTs4Tc8vecXWMufKvT3LMTwOc9zrrgkP+xDzMK+n8gXLadT5qDpC9Rr/7NGVLn8N1UGXQrssRah+d59AGai7Z3zpWfVU5yfjpE5Sxy7r0g03XG6n5qZ/9ga246qFTeyvWkOeq0/kEY5Mb4939r76y7iqv1kInJ+YB1Td7BLutPNIeOl9b+WSMnKuoU+WOWlPd6zmPn624lcz5UN1bPcz4ng/piL45Q70HriWOQ7Vt3X++eUwfSebQyXmPU997UfNZ5aAMnU7Wt6qV6zqfch4JvRFzyHPW2bHV27omE+2M1fmBHAdl8ln1QrZs0yZzce5Qz9VzLGOpL44f6k/mOlwc61U43CRYsCx8N0Eu4Cqj58J3c4sbKT8xAf2yUdJOfTgUE2pc7fUBxmDjsoFX/vUJ+sMOUhfwcR5/Wecq5/SXMscx9tDl6Zz5HKuPf+uoMvG3ckyY08Y5xlb9QyfH9I1ustWTRF81Jgf61gX6BPORzv6YTwKrHXLmytkX8BVdXWAeHF3/nQP9O5Z5cHR1V9n7b74ruWIOK3+H8jDfQ73fyodr9TpW6ynlJGvqfJondlu1pgzpD/usG5iXQ7G1gbo+nD9mHYC65GJM9GsO+jAOmIc+ufZFv/pY5VBl9VfrAB/WRpyaAyg7v9IxVsq1zqwjZeeqLnBPhNiOZ/3H/CsooCvH2mkLnR9gvO49/GzVJ9p5hkO5pO8qH6oHMq/0m3VVn2B+w8UyL+lXCBasG8CF7marsrgJuo3EhkDXDeEcD5LObhVLOVnF9QFIbDclZ+bxVX0nXutb/eQ8/tQVZXOG9Jdyzkm15+hiM54xwDF11XfcvuVcykD8rRwzL6lzaa9/a8j8oPN9TE+qzHrLL+q1rvRZ5yBz9np1z5O0yxjkBPoT8+XMoe86jlzXOVQdzpXUB2ViZU21vqxzJUuNry/PgN0qj/SZPfT62Nyg+oPMb9UPUK59zdhifp0O51UMX1qrv6zb+Vq3GDNf/iTrS51V3atc+MbHGjsdyDjoctSc8QWdj8wh7aoP/LOnu3WAj9V+T31t7N0qFqQMWWeNv9IF58hPuB+OZ/0caZsxu956wCG7KteeSK5B6HSqf3C9rNZYjW8P9K2sP/cIdD7sQ0U/3T3VZ+Y3XBw3fhINFwILloXr5uDMGJstZXETQC72lLUT5ZWd/lcyGJcjH8adXp6h1sF1PmDSNw+PnBPnofqroMcDggeFNugn6S9lQN6y72oBdeqYutYGOS619swrZah5dXrMIeOXWsT+8YWr+0S2+gbGDvVEjFvrti5Bh+PYe06u5KwuxyE7z+aX/rCFzH01jpx9qn5BucsL/ewfB/P6Tbkje5T+laHmgq96f83BM6Q/MUdgvFsnh3JKGTK/2o9Da8vY6RvSd81vFUO9bt2hZw7As65bc2DMmhNkHZmXOXiGzh68rrEdN1eOrWey1HrTnrGsp/rQ/+p5wVHHqx/jwyoW17UX2bOa11ZN4Di2on3VBWTjOU5MqfFBH4fsRB9draA/WNUH6VPQU2ela3zo9gA1dD1arbFaB+ecB+y5Jp7rfrhY5iX9CsGCZeGyiFnobHRkcHNI3QzY+mCodltzOe84rOQal83W2YM6gI61VT0fGvhFR/Cdc/gzvnqdvy5H/HCtvjbVHxxjv6rZfEEdx1I3a6s+oNa+yk/ZXPTleO159VvtkpVvONSTVX9q/KyB86F5jvSpLhyyQ+76BNo653yOr2oCbVJHvZoXZP8g9VMW8+ecPYJO1oeHcRL8+KLV+ai9cy11HJMTKJuXZD9SVm/V+5XvjswRmdrtS851dQM6+F7F1Ffnx/wTc8jYUO3Bmrb0OJD5RgL9LqbUevP5gq3xUhb7cAzmVO9dxt+KVWvMnlXdrZpA/fwk3f7m2VigT67Nb7UW0/aQXeej1pr+oNanziofr/WTXws6m+qf+dwj+uGMbvpJqo+MkeAD/8PFc8OVP1wYLG4WbpVzcyiDmwHU9wEm6K/mIOeBjVxjpQwZt9qnDSinTuJDAzqdnJNVPGVIfcg4YJ2gv2PtV/Uwz0OJBxeoU2OLupk7Z9GmxmL80CcZ0OXIvA/Wzo5z5yPnJetiPHW72JJ1Scqr+ewtGN/xQ36Ru1q0xU+O61+/q09S1edsDEn7zAVy7rz7DrusO2WO9Kc+eJ0wpp0HdL3bYpWPsmewrswnY6eMThdfnRqr66PoU/Jaf4c+iTZOjZljx/gR8tPGA+y/+TuXcUA9ronJGZutmJD2qbdaix0538mwysNaVrGYzxyPYVUT6JeYgr7jmW+SecDqOQDYoksPXeuAjjmlLBkj43e5QNXRl7l0eaVOXifp33nHOOea7vy4Njmv8pLMb7hY5iX9CsHidhG7MYQFL8ro5JEbIDk0xyFsqi4W1LhVlrTxi0bVcYPyMIMtHTY8c27+qncoR/1wVuYhm7qMw5b9Vq5i/3xYaQOZB6x6nblacwXbQ/3ocmSMeexXdpA+zLfLz76gp7+URV3tMveuDn3knP3CPsnxzq7zX2vFNu+HdSX2rNoC+jUGPmt/nHfOWjI2dHLaQ9adcs5B7buy1Jwy3653oK6+kHNPZXxkPyBwDLr8jJ+YS5Lxs/bLiZG+AB+rusWajIls/cf4qTHBsdr/nONsjcjq6Z85yDFJH8pdbvqX2kNR7nRBufpPDsXi6Hpo/up0+hXtuU9iryHzdUzfuV7ImfmtWrMu7DP/9A8Zw7msWV31HF+trcyr+/pbr0HfnAHfWbNYO3R+mHev17nsh3Ey1+HiuPGdGy4EFiwLm82RC9nNwIZk83gNVVeZAxkbzujneJWTGqvGzZjVhzrasFlTRxmol3k4pMNY6kvNT7nzI/ZZfXRqjWCdkHnUPDkn2KPrw2qVB5iDsaHmWmsGfOo/MX/r6vI0TpJ22Uvsam/y05RDfVFWV9KuqwOYq/WbQyXH027lw5qyNueg2iTVlnPq15q3PnVLMq8qc9S9Ds5VGbyu90tWOWXd2B6TP3IXP8FWndStfrxvNWbK6gJj6Y9z9g62YjgmjKvjtfEr+gdzcAx9X95X+aNLrjlW+y/miA/jrJ7FnQxZZ42VmFftobniE7q1WuUup2QVSzLPrVok9RPjEkvUI64HdM/+Ss1bW8CecebTvnB6nDEAABofSURBVLtfkDqM1+uqV3XEPMyr+uDcyYA/6eKvbDkfIvuTcchxuHhu8dfXcSYPwS1ucYvdTWnNr7zh9/cLmMXswmcROwaOew25SdicbuJK+q0Yp8qQdjWPZJXrilUNSeocAh+Za8I4DxS+6NUHG6RNl9fKr9T+ZZyV7yTjwCpX9DJWzTXvQZdvl1vaOFb9ylZ+XbwE2617IF1OknNQ5UO+OzLvzsdWPh3pT32+OOOzm6uow3zK4PVW3ejUfGvfMw/wubGi6gO+O7/mneeEsZrzofw6Mv4f/fGf3mhN1Jq2YtQck9SrfV/dg2RVS8ZUJ8fIF//pu9aLfvrfev5D9qzmio01mUeXV+c781jJSdfHQ/cL0he+U2errpr/A+93t91Lf/SVuzvf+SP3Y+aZ9RsrbTuO1RP1ky3b1D82hmCbtWyB3qGer+jup3J3T0C/d7/zrffny+GmvnPdXJlP0q8QLmxwM+YYMF43Ktc84NgQbgb18shx9R3POMjqOZ8yIG/5AG08Uh+ZB4IbtdPhgNWnRRX1Oz/ok1/3sAD1OBKuzbXmv6q9xtEvR9aSOC882A59gql+NwfMd3mS28oGMg/g2gOwXX2Kv+qRtqu6UobMaWuuyuZ07JoR80sfq5iy8me9+gR95twxayFlUO7qXuXLeL1f+vUe1Zq7nOr9RKf2i3nq4qwPc7JeqHZ5DTW/rfisp6wXmfn0txWDY2u9qAM1jqTvlX23H8T5zIF7xlj6Vuasj/StnjG2elbrBeYS7RJ9pm9I3SpX3YxjLXlvzDPHQL8cqbNVlzG5BnJJnIfMi3F0qz/9SNU7hPp5X5L6XFBnlUvKFX2nD+PWHLDf6vnKFrJvVfb+1Hz1MVw885J+hWDBsnDFzeFG6BY6GxrYCDzUGYc6D2mPPhsI2RjGr/HSR9L5qLaclf1iyrW2oB6kT0ldqHb6T5lYvBBK5gadzVad/rN1zR9Z37V/kHGgq1udjI8efrq6jQf67eagy3PLpsuljqX/SsZLWbbqgpoTcSXnstdd340tyl3PjVN9QM0HtFX2rD9xTJ1K5qhe2iinTzCXru4u35yvkEM+N6DmJPV+Zgxhvus9NjmedtWPdadNlUE7j64foo4Yw952OUPei9WaU06qPdT8zaHOg7kylnkr5xigV+8j1JjYeRgLMq6+M7+UjZW+na9rVVLXGOe5X1BjpI4yR60LO1CX57jkfUsfYt6iXPvi14ZurspQ70vOZ0zGDq1ROCY2fjJuzaHWDulnZavdan+IOTKGXOsZLo5+Fw43GR98wIaqmwxyUbvQEzZG6jK/skeXzWSMlX6OcU7YcMbUTxdLGX03rufUg9QRrs23s6syOpfTS+c5V8zL+Cmjrw+vuzigTRe/Ys2eoeZoTziyVqlz2UcOcA5qL3IMMn7Kkn5TThjLPLqc8GmPHOdw3BxXvUM3/YL+IH3k3pO0R4cj++H8ob6BY5yTVV5SfWrP2TnBl4d0a18fiTZpn3lI1w/l7LN6tf+c7VnnAxmMzVjmpFzXOefaD+l6AF3/Ml+O/EY/9VcyaAvMJcaodUraijlnrXlOsreSMXM8a1VmnqPLr+Yq5msftM9YkLUxp76kXSdDtZG8xxmHmoQ5oFap8Y2lLuArewW1LxmzzknKoN+sDawBGKtrq7tvx8TWD7rqp7y1T8C8OlvmjJGyqJu2xMv7M1wc8zPpZ7zuda/bveQlLzm72u2e85zn7J761KeeXe12n/d5n7e7733ve3Z1mPyZdGCxC5vRRc/mWf2cF2iHn/QB+hbn2Sz6TJvOB7puXGXzq7ZdruhkvMS56r/2xOv0v9WXzGurl6nX5aG8iiPpJ3tufcfkXOlqYCzrAfVW+ec9rblBzkunV9nqETbOH4qpnD7O06dK+oXz+tIeaq+hqyHvj3X4Cd6qT5nXoXVZ8zdOvd+ZU9LpKlfflc4fdL0B9e0/rHwIuvag+3nzrOtyc858kprvedYLtufJp/ak3gtl0Xf+THpF39qr040zVucT5rr6zdVccj79ZA1V7nweIus1h6wF0rdj1c6fSb/rXa9d5pC+ofraWhc5d2j94Je9Yx9rPzsyl628VrGxqfdDuYJf/XT3OvvdsYpl7uf5mfSLfue6uTIv6cHtb3/73dve9razqxvyxje+8bqHwF3Prg7za2/9k/3ZzQZ8t8nG4JM+qBtyhXZuLO2T1OEFovrsfBg/WeVSc9VfPgzO86CopP9j+nKeXnZ1VlYPHqn1pn6XM9edH2Cuy3NFl3/a66/67e551tHpbq0Lxut9TR+V2jN1M8/qs5NXMczzkK9qn7Vuob/VGvM6YS71qk3S+cv8gTnyzT196F4lne+aS/rLe5a1Az6w9Zx0PmrfVmSOcChn/buu7deqPunylqwb8j4cm09n24Ft9oTr9FFzrLoJdt3zHvRZ74O6NW/o/EDm0HEofidv9Yux7msZtm9605t3D37APc9Gbsy3P/cFu89+5GP2Poi31T/IviDnPa5zKafeMZzXposN+qhypYtRfXpOP9rV8RoLPe5HfmDx8Xf7kL18LBf5znVzZX7cJfi6r/u6M+mG8N3deRcLC7bCd6f50GCRuyGEOb7T5azMJsCOM5tE+9TVN+fqE5xPH8YnV777X+XCRlRX8JebmoOHqjo5l/6dT9+QcylL1gqHeln1zaHmok0+fJRrvNSxVu1TlurHnKDmV3E+e1/vkzqM6Tfp7nnWkfEd53oVD7RVB8yDszJ5G7/6SBn0CZ3c+YbMQY6x39pHyvY99Wo8r2ufUi9lqP5zDsw55+hj6h26V919g0P9AH1j7/5SjzHAf45zzpxSBnP0yPw4pF5DzRnwT27GkarLkXL1nax8HZtP2uazobsv2Nb600fNv+o6zhm7bhz06XX6gIxZ56D6M/+upg78u4aqvOqXOTCPXs2JMf6Ky+O/8AlnIzfk2muv3X3O5z52n5O1V99ZF0etwdyy96APbCD19JXUa+hsqtw935Q59AHKjOd94YDOp6ScfpJVLPW8RxypeywX+c51c2U+SS9039lxfdvb3vbs6jj4JJ2FyyZxQSeMAxvLxZ1yJX2w4bY+AcG3vrrYiXms7OGQjy2q/5q74zXmVl9qPtVn1ZdDdejHLyZSc2ceVjlnnPSzxare7A9w3d1/YA69jL+iqy/JeMlN7TV+uz5lb1f3QbTLXFa+tuwTbHhZlVX+NeaqT5C60N3XjlVdKzKHrXzg2H4knf/Kysehfq16lP4yZh2vcVf5Sd6DY9fhsfmkLWStWzVkHl3+6qdupY5nDFjVIqv7UKm5d76OpfarY9Ufxu519zvu5eR5z3/R7qF/9+9dyuu8dam/+hTfOfM2H16Os5bM09zFuRWpC1lDzbNba1DrZhwd8jH/mlcXBzJW9Zv9RD7vJ+lwUe9cN1fmk/TCs571rDPpeviO7nIWCwvWjdN91ywucFBmg2BfvysWP4lgXj3Rt75W36VL5x8ylyRrWPnM8eo/P0Wpvh2HTq6+JH1C1fcgr0rWox/ktJOcFz8FAuNmf/I+rmSOVf6iHtQe5hx+jb11n6pd1cm5pPY6PwXLmraofYLsbXcfOt+ZS+Z+jL31ZvwuhnrVNzC+VW/qgnLV73LJGIynjnJ3r1KW1Hd+1Q99JukzbS+iX6seoWutXRzw+lB9KW/FAvPhenUfVvmgny9u5pJytYGM0eWcqFv91fHKqhbl1X3IOBzWBl2c9NnJub5qvzodyLyFsfpp+sfe8967R3z2I/eyPrfq6npsTpxrffryTAx0OHIMtDVe9mG1NpUr+gb708UzJqRNjjPW+YM6ru+MlTrQff07Lxf1znVzZT5Jb8jv7C73Ozp/Jn0LNmV+d4oMufGOxc3ffZef6NOYbixskTPmSqeijTmoc578IfvQyVu5QtrIVg21HvxRg37T9thaVj1PvynL5dQLVXeLY+27Hm3lC9bdxejIPh2yOeT7PPPIh+471L5U3/qEQ/3KXlW/XS6SMTrUrTWt5NQHrqvtMT4h84RVv/TDc6l+Mplkj8wvOSav1AGuU5ZVrFVugM0x/9LSsbrn6eNQzkn663S25rNeSZ3sTV6v8l3dixWH8oVOp8v7Db/2/+we/uBPPLt698+iQ/VR6zrU40Ngj61nONSrpNqmvEI/VW8V9xArf5nvMf54ofe943I+SYeLeOe6uXLjj02GSz8ndVO+o+OBxXfFnlnsKXOwqdgQ+Z0qOJ8wl9+N53fAoL/0pZ+MK/U7YuXuO2hRXvmE1EkO5Q/E8wtnlbdy1R9fRHlYJNW2+86faw58UJN+07bGWsndvQbPkLJkrK2cMyak7mqtKXekvTG6HtU66XW+5KCvjWSuVe7Wjzp1XRzyDfhThm4ev/jJevVb/Xd9SbTlUA9qv0BfXNd7mzGMY+5b91Jd6XxC+hdkDvPzfh/js+rIql/IjDO/soXsEXocx9Ta5Z7XdQ66WOrYe84pm785JSsbZfZK5qyceuk385H0m71mrHuOdjGQD62j7E1eQ5evc6Bc/a9iScZIHXN231Zfd7v7x+w+/UEP3evyKTo/iw5dnFqX/hLjWeOWTA6ck9or74uxah8yfs0FalztK6t7VOVjnqvguHOHfBE7c7gcLuKd6+bKfJK+4K53+ZDdK3/m5y/7lxf8mfSEBc4YZzYci1odFn1+muB8lZPqP8lYsNI1br5wQeqnDhzr86bk37HKVbb81Ro60OFhU+vrYgHz2NRP2Fb9WfWly7vmi8/sozbq8bJCHo6jv5K34nZYTyV9QuZX7zm6Xa+g9oXxzBO2fFfSbxcPakx9HqOTcq1hax8lqS81Hrb6qnIl/XXyqoZufaX/zhdrTZ81l4zX+al5dLXAsbVCl/sx8VY6gi467quaU8Y9RMYVfcvKbxejy6fifHKM3YpVvpX0X2Nxfd57kbaQ136a7s+ii7EzRnLo3h9LF6fmKfZvdW9XcrKqB4y7wly7OPo9ti9dbdhd7ifpwKfpr33ta+cXRgvzkr7gDW/9w93d7nz7s6vz8Ywv2d4swzAMwzDcdF71ut3uQfPntE+CZ7zg8l8n3/72t8+n6A03/PeP4RKX+4I+DMMwDMN7hnlBv3kwL+g985I+DMMwDMMwDCfGvKQPwzAMwzAMw4kxL+nDMAzDMAzDcGLMS/owDMMwDMMwnBjzkj4MwzAMwzAMJ8a8pA/DMAzDMAzDiTEv6cMwDMMwDMNwYsxL+jAMwzAMwzCcGPOSPgzDMAzDMAwnxrykD8MwDMMwDMOJMS/pwzAMwzAMw3BizEv6MAzDMAzDMJwY85I+DMMwDMMwDCfGvKQPwzAMwzAMw4kxL+nDMAzDMAzDcGLMS/owDMMwDMMwnBjzkj4MwzAMwzAMJ8a8pA/DMAzDMAzDiTEv6cMwDMMwDMNwYsxL+jAMwzAMwzCcGPOSPgzDMAzDMAwnxrykD8MwDMMwDMOJMS/pwzAMwzAMw3BizEv6MAzDMAzDMJwY85I+DMMwDMMwDCfGvKQPwzAMwzAMw4kxL+nDMAzDMAzDcGLMS/owDMMwDMMwnBjzkj4MwzAMwzAMJ8a8pA/DMAzDMAzDiTEv6cMwDMMwDMNwYsxL+jAMwzAMwzCcGPOSPgzDMAzDMAwnxrykD8MwDMMwDMOJcYu/vo4zeRiGYRiGYRiGE2A+SR+GYRiGYRiGE2Ne0odhGIZhGIbhxJiX9GEYhmEYhmE4MeYlfRiGYRiGYRhOjHlJH4ZhGIZhGIYTY17Sh2EYhmEYhuHEmJf0YRiGYRiGYTgx5iV9GIZhGIZhGE6MeUkfhmEYhmEYhhNjXtLfh3j729++e9WrXrV73etedzYyDMMwDMMw3ByZl/QT58/e+Ve7Jz3pSbu73vWuu9vd7na7Bz/4wbtP+IRP2N3ylrfafeInfuK8sA/DMAzDMNwMucVfX8eZPJwYfHL+uY/9/N0rf/LHz0ZuzDXX3HL3mte8enff+973bGQYhmEYhmF4X2c+ST9h8gX9qU996u6Nb3zjju+pOJ73/Bftx9/5zj/ff7L+pje9aX89DMMwDMMwvO8zL+knCj977gv6ox/zuN2zn/3s/Y+8yJOe8Ljdd3zHd5xd7XYveclLzqRhGIZhGIbT5DGPffz+x3Wf85znnI0MK+bHXU4Ufg79O7/zO/fy2972tt1tb3vbvVy5/e1vv5+/3/3ut3vta197NjoMwzAMw3B63OIWt9if573lMFfFJ+l8t8Z3bZ/xsEcsfyyEX8BEh+O9/aMj/Cy6L+gs4tULOtz//vffn3/hF35hfuRlGIZhGIb3CW57hw89k4YVV8VL+qd8yqfsX2L58ZFHP/rRZ6M35Au+6EsuvejyV1Tem/DJuDzsYQ87k3ryF0bf8pa3nEnDMAzDMAyny9v/4HfOpGHFVfGS/qAHPWj/c93Ai/iLX/zivSx80v76X77+Txm+7GUv2/zkWvi0m3+yOc/x2X//MWfW2+TL9n3uc58zqecjP/Ijz6Td7rd/+7fPpGEYhmEYhtNlPkk/zFXzi6Pf893fsbvlNR+4l7/8y798/5INnJ/2tKftZV7keaE/hmtu9cFn0vG8/pf+7zNpm1/91V89k67Pb4v8huKQ7jAMwzAMNw/4MV3+yATHCt4L1Dm1d4T5JP0wV81LOi+z/+QZ/3Qv8+MkvpjzZw6BH3HhRf5YbnXN++9+8Rd/cffTP/3TRx2vfvWr98cx5Ea6xz3ucSb13OlOdzqT5iV9GIZhGK4Wvuu7vmv/HxxyrP5SCu846rzht/5k9653vets5r3PfJJ+mKvur7vwi6H8yAvwZw19WefPGT7xiU/cy+9t2GzmxQv+1qf7fHfM5gPq4e+pD8MwDMNw84b/kfzDP+yOl36Pjf9LJf9Uc74fPOUpT9l967d+614+hO8fx8KP5T7ucdf/SPEx8OO/MH/d5TBX3Us6/zzEf/6TnNpC4S+78CcY4Twv6af0jcYwDMMwDFcWfsfu8Y9//F7+rEc+evdjP/IDe5l/Wf/4e91n95tv/fXdtddee/Rff0Pvoz7qo86ujuO871C+pD/koZ+5e8W/+7d7eei5an7cRfhrKPVF9tjvLt9T5I+45M+nd+Qvix760ZhhGIZhGG4+8Am2fxjj3/zoD+4/uINv/uZv3r+gwwte8IL9+Rj4JB5/vEDz8s35/g/4tN3fe8i9l2OPecxxfxSjMj+Tfpir7pN0vrvku8T8M4cssvN+N9f5OQTfHOT/ErriPD/Ckj8aw8/I559kHIZhGIbh5g3vI/7paD41/+Ef/uFLPzFw7HvHe5L5JP14rrpP0nmh9cWaBQL8/fT6ZxmP4Twv6PATP/ETZ9I2+aL9k6/8mTOp57W/8B/PpOs35zAMwzAMVw/8YQw+0IM3v/nNu4c85CF7mRd3x0+R+ST9MFfVJ+n5CTWfTn/913/97sPu9Dd3f/7Ov9wv5j/8wz/czx2L/6x0LPxN8/ylji3yF1y3btHtb3/7/TcL8x3pMAzDMFy95HsD8GMuX/zFX3x2dTrMJ+nHc1W9pPOCzHeZ+UKev6R5Sv8slD/GsvqF0Mz9RS960bl+u3oYhmEYhpsPn/GwR+x/MkAu949J8P7xjne84+xq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alt=\"unconfined aquifer with soils in parallel\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L)\r\n%  h  = water table elevation above the aquifer bottom\r\n%  Qp = flow per unit width\r\n%  x  = locations where WTE is requested\r\n%  K1 = hydraulic conductivity of upper layer\r\n%  K2 = hydraulic conductivity of lower layer\r\n%  b2 = thickness of lower layer\r\n%  h0 = water table elevation on the left side (x = 0)\r\n%  hL = water table elevation on the right side (x = L)\r\n%  L  = length of the aquifer\r\n\r\n   Qp = mean([K1 K2])*(h0-hL)*b2/L;\r\n   h  = h0 + (hL-h0)*x/L;","test_suite":"%%\r\nx  = [0 251.884 503.2297 754.0371 1004.3062 1254.0371 1503.2297 1751.884 2000];\r\nK1 = 900;                       %  Hydraulic conductivity of upper layer (m/d)\r\nK2 = 8000;                      %  Hydraulic conductivity of lower layer (m/d)\r\nh0 = 37;                        %  Water table elevation on the left side (m)\r\nhL = 33;                        %  Water table elevation on the right side (m)\r\nL  = 2000;                      %  Length of aquifer (m)\r\nb2 = 25;                        %  Thickness of lower layer (m)\r\n[h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L);\r\nh_correct = 37:-0.5:33;\r\nQp_correct = 418;\r\nassert(abs(Qp-Qp_correct)\u003c1e-3)\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx  = [0 284.1463 558.5366 823.1707 1078.0488 1323.1707 1558.5366 1784.1463 2000];\r\nK1 = 8000;                      %  Hydraulic conductivity of upper layer (m/d)\r\nK2 = 900;                       %  Hydraulic conductivity of lower layer (m/d)\r\nh0 = 37;                        %  Water table elevation on the left side (m)\r\nhL = 33;                        %  Water table elevation on the right side (m)\r\nL  = 2000;                      %  Length of aquifer (m)\r\nb2 = 25;                        %  Thickness of lower layer (m)\r\n[h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L);\r\nh_correct = 37:-0.5:33;\r\nQp_correct = 205;\r\nassert(abs(Qp-Qp_correct)\u003c1e-3)\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx  = [0 230.8945 460.1048 687.631 913.4731 1137.631 1360.1048 1580.8945 1800];\r\nK1 = 4;                         %  Hydraulic conductivity of upper layer (m/d)\r\nK2 = 0.1;                       %  Hydraulic conductivity of lower layer (m/d)\r\nh0 = 50;                        %  Water table elevation on the left side (m)\r\nhL = 48;                        %  Water table elevation on the right side (m)\r\nL  = 1800;                      %  Length of aquifer (m)\r\nb2 = 16;                        %  Thickness of lower layer (m)\r\n[h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L);\r\nh_correct = 50:-0.25:48;\r\nQp_correct = 0.1484;\r\nassert(abs(Qp-Qp_correct)\u003c1e-3)\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx  = [0 225.2925 450.5015 675.6269 900.6686 1125.6269 1350.5015 1575.2925 1800];\r\nK1 = 0.1;                       %  Hydraulic conductivity of upper layer (m/d)\r\nK2 = 4;                         %  Hydraulic conductivity of lower layer (m/d)\r\nh0 = 50;                        %  Water table elevation on the left side (m)\r\nhL = 48;                        %  Water table elevation on the right side (m)\r\nL  = 1800;                      %  Length of aquifer (m)\r\nb2 = 16;                        %  Thickness of lower layer (m)\r\n[h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L);\r\nh_correct = 50:-0.25:48;\r\nQp_correct = 7.48e-2;\r\nassert(abs(Qp-Qp_correct)\u003c1e-3)\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx  = [0 2.6558 5.2033 7.6423 9.9729 12.1951 14.3089 16.3144 18.2114 20];\r\nK1 = 0.5;                       %  Hydraulic conductivity of upper layer (m/d)\r\nK2 = 0.1;                       %  Hydraulic conductivity of lower layer (m/d)\r\nh0 = 3.7;                       %  Water table elevation on the left side (m)\r\nhL = 2.8;                       %  Water table elevation on the right side (m)\r\nL  = 20;                        %  Length of aquifer (m)\r\nb2 = 1.5;                       %  Thickness of lower layer (m)\r\n[h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L);\r\nh_correct = 3.7:-0.1:2.8;\r\nQp_correct = 4.613e-2;\r\nassert(abs(Qp-Qp_correct)\u003c1e-3)\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx  = [0 2.6558 5.2033 7.6423 9.9729 12.1951 14.3089 16.3144 18.2114 20];\r\nK1 = 0.5;                       %  Hydraulic conductivity of upper layer (m/d)\r\nK2 = 0.1;                       %  Hydraulic conductivity of lower layer (m/d)\r\nh0 = 3.7;                       %  Water table elevation on the left side (m)\r\nhL = 2.8;                       %  Water table elevation on the right side (m)\r\nL  = 20;                        %  Length of aquifer (m)\r\nb2 = 1.5;                       %  Thickness of lower layer (m)\r\n[h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L);\r\nh_correct = 3.7:-0.1:2.8;\r\nQp_correct = 4.613e-2;\r\nassert(abs(Qp-Qp_correct)\u003c1e-3)\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx  = [0 2.3183 4.6126 6.8829 9.1291 11.3514 13.5495 15.7237 17.8739 20];\r\nK1 = 0.1;                       %  Hydraulic conductivity of upper layer (m/d)\r\nK2 = 0.5;                       %  Hydraulic conductivity of lower layer (m/d)\r\nh0 = 3.7;                       %  Water table elevation on the left side (m)\r\nhL = 2.8;                       %  Water table elevation on the right side (m)\r\nL  = 20;                        %  Length of aquifer (m)\r\nb2 = 1.5;                       %  Thickness of lower layer (m)\r\n[h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L);\r\nh_correct = 3.7:-0.1:2.8;\r\nQp_correct = 4.163e-2;\r\nassert(abs(Qp-Qp_correct)\u003c1e-3)\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx  = 0:325:1300;\r\nK1 = 5;                         %  Hydraulic conductivity of upper layer (m/d)\r\nK2 = 5;                         %  Hydraulic conductivity of lower layer (m/d)\r\nh0 = 10;                        %  Water table elevation on the left side (m)\r\nhL = 9;                         %  Water table elevation on the right side (m)\r\nL  = 1300;                      %  Length of aquifer (m)\r\nb2 = 4;                         %  Thickness of lower layer (m)\r\n[h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L);\r\nh_correct = [10 9.7596 9.5131 9.2601 9];\r\nQp_correct = 3.65e-2;\r\nassert(abs(Qp-Qp_correct)\u003c1e-3)\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nfiletext = fileread('unconfParallel.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-09-30T19:04:22.000Z","deleted_by":null,"deleted_at":null,"solvers_count":2,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-09-30T15:05:42.000Z","updated_at":"2023-09-30T19:04:22.000Z","published_at":"2023-09-30T15:09:18.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to compute the flow per unit width and the elevation of the water table above the bottom of unconfined aquifer with two soil layers. The input to the function will be the positions where the water table elevation (WTE) is requested, the hydraulic conductivities of the two layers, the thickness of the bottom layer, the WTEs 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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = 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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and the length \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eL\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the aquifer.\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\u003eBackground \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/52070-compute-the-effective-conductivity-of-a-heterogeneous-aquifer?s_tid=ta_cody_results\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 52070\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e dealt with the effective conductivity of a heterogeneous confined aquifer. In that case, the effective conductivity \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Keff\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK_{eff}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for the case of flow through soil units in parallel could be computed by realizing that the head difference is same for the two soils and the total flow is the sum of the flows through the soils. The effective conductivity then is the weighted average of the individual conductivities, using the layer thicknesses as weights. \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 an unconfined aquifer, the effective conductivity is computed in a similar way, but because the WTE \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h\\\"/\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 varies 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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x\\\"/\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, so does \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Keff\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK_{eff}\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:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Keff = (1/h)[(K2-K1) b2 + K1(h-b2)]\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK_{eff} = \\\\frac{1}{h}[K_2 b_2 + K_1(h-b_2)]\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\u003eThen using Darcy’s law as in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58966-compute-the-head-for-steady-1d-flow-in-a-homogeneous-aquifer\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 58966\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, one can write the flow \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e through the aquifer as\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q = -Keff(dh/dx)A = -Keff(dh/dx)hw\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = -K_{eff} \\\\frac{dh}{dx} A =  -K_{eff} \\\\frac{dh}{dx} h w\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\u003eConservation of mass says that in steady one-dimensional flow, the flow \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e past any section is constant. Then the WTE can be computed by inserting the effective conductivity, integrating, and using the boundary conditions \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h(0) = h0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh(0) = h_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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h(L) = hL\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh(L) = h_L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to determine the flow \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and the constant of integration. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"341\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"559\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" 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JUH1BinmQekfadDnl7zQzmDtehySDpf2h57nZGpkW9noYunPbWpvtGrNupAxlvNyRaqnaz6j6W7l4B+wS86whibUWXGsnUscQPruLWtrWui9nkOxMm+2hrDmBX7D7VJN8+cb+Z6syFuR+33fPX2/m3P/rirb+1p+Wu1vLXn8I19fVM/3F488q5b/+8hfJucb9KH4UaYTfoZ89wH7mZrc3J2BT5A2MSwyXHjsQJdNiXAB2VucPjQTPC15U9f2Kcs5IRPfKxi+lWIzkfmCp2cOeoz7dkAeN7NJ204so4p57HKY3UNjp3Hyj51HMOnsv0132SVQ70enb226KQMqauctrKK5/WHrTq5gdO/8auOsalFxunqCvoT9dM25bxHzBffOcbGM/Vy84kNazLlbLuNah2veQjjlcxFP/bpJ9tVLFts6a96tf80NmBswU7SV6XrO08Oxcs5iJt6N/T5FZz9129OvnKTX7thE//E7qm1Pdx6eJN+q/GrLe+59MTuoQefWevjGfO9+5vMfN1lwY3+w1E2IWwQcsPiZoNzxyF1RZtEX51tyumnwocYH77aHBNzC/35wV/lLk+ofo29mltiHY6ZJ7mA/o+1Oa19zlcdbLp5Z3/1l3GNmRyyX5H5QWe/ilfpaoM/c0Z2k7dVy2QrTs15i2PrcRrI92b5Zc5uJFMWa5Kb6G7jyaY5r4Fk/6E27aDm0/mqNlUn55Z2jtH/1re9Y/fBH/T8dl4d1VfN4WbwvPf95P4rNs998o27u9/32NV/FDtfq7k58LvNeZP+mv/oN5303Fx4g84fM1q9Pf83Pv2X7/7+1/37J2d3JvN1l/NhNukLbuQ76Q8/+q7LH71X3qZ3H+7dJgVyE+JGhw8qP+iQV7ZJ9VNl3ixufQBmPCBm5tORGw7lzLWLqd9jNl41p470l/G7awBV3z64Hnv1c045b8ZTD1JXudaqux5S7bvrVvNLVvaH6q2v6tfzbKHqG4tNlfl1pG9BN/M7Zm0cQ+Z1jK9j9U/r9zQ4927DC7mxrpvsLbpNNK0b4M5XZ3NsvDqPtEu/h/wdq5v5d3M5a/yuPNz9/ndds5Gf32xz4/CddLhVm3Q49I+Y7/Qf1maTfj7Mf584Y/hO+pO7e/cbCTckHHwI0YJjbMb48EYGN0uA7AdHyp3tIT+CjE5+IPEBlbnRGs8xyBw6jA3KmdfWd8UZX81HX3zodj46f4n2Oc9D+tqkfMiePnXt45yaqc+8aNNvxkfWRrClP/u27DOefYJNrS11lYxTfdEm+nJeuf5qC6kP+qdlDP9dLO0yZ8Yzvy7XlQyrcdBXcox+vY9gdf+kr2PpdPHPphm/bko9F2RiocvmtcM8s3WjW1tJv1s2ne+uRd/8Ice6eUHny9hVFxiXHO90jyH9HcLvyHPw/fhjvlbjd+PnazWH4dcvctxK2IS7Ec82+4fhtMyb9AU3+ttd2EyAH0BsMIHNBh/YjvvhW/WP+eBI2y0/h3xqS25Vr/oF+pwHpJx6kPZ8qOHbPqh+gb4uLqRth/rOmQ9t693Z1vh1XlmPlX3G6uqcc0lZTnvNuxxr7C6O1LGt+OpCjZt1ZSOdse1PPcfAcfvBMdiyW5H2K6wXuXb6NZ+cc5LzFf3V2sCx8+w4tL5gdQ2J1V2bY/GehWPy2CI30VstG/LUXcWp+VQfUGPavyLnm/JFIP9qbL6N549IPXv33stX9pm7EbyR35M+nCHze9LPnNmkLzir76SDH4r54dx9UNYPdM7TzzEf6JB+qs8VKz0/5GoOHYdinBXmlB/m9cOXfn8wMq/O7tC8VvUwnnWDY+aPPnrZQmd7vTnqG9JHFyN1YaVvnkn1p60bosy1iy01h4y1ZbfK1f66PvSrbqdnzrXWnU1Hl3v6zjxrTTNmF7/W6XpY5ZKgUzen2aePboN8SMe65XgXq7Pt2rQ9jZ1tjQ25+a/XmRidTZI6x+ifJfVrNf7ayTv9r8FepF/B+Exlvu5yPswmfcF5fidd+NCtH8z5wVE/xGX1YV7tVxyKW+nyYF7d27vO9zG5Xm9Obl6UD4Guetolq3klx8ZDL+eRH/7M89h8K9Uu50SMrt5wbH2NeegarNCeN7h1M2RNah7WJPsybmdX51bjAHVJuYPx1IPuTXmSNjWvrmb6Xulm7MQYq9yvh8yl5npo7R+is6+b1rr5zfviLNoud+Oe1r7adT+cpc711i1rdN74j1wfevxHrvn98bfzd+O/8A/95d2/9Tm/YvcFv+FXnvQMN5vZpJ8Ps0lfcCNv0rc+JFabDOk+jLXlA2L1YS6rjcP1xE0yBzAP7WrMCnr48O02dLkmdXwrx6zvll7l0LyOJeNDzsl5JNmXut1ca46ruWYM+tGj3l18SNvKVh1W8bfA3+o6d+i3s2Osm9tWLsfkrE6uhe56VMxFbkQ3c8icYbVOnP9qPHFObCitnzC2lfshyPfYjWbqHmtnPQ5thrtNv9cU0s9ZtOmb2Hleud55H6N3FviVGn5LDTzviX+xby/6W/jf95/+1d2n/IoX717xOz/9pGe42cwm/XyYfzh6xvB70v3QpOWhTctD1g9Q4AHPByIHH5q8uasfmNUWubOp9rQZq5M7O8nYynygmwNgU+1WvtVjHl3MQzk5XnPq8jukl7Iffnyo0geZr3S2Va7XN+dkmwc4185Ov5DXP8/BeUD1j56y/cdec/U6anzzgvRT0abmcSi3tHOsm1tS8+hyXul4Dls2ym52u5qlPhBjNU/IHDJn6GR8y2o8cyUu6x3fGZ/xLp9DOC/A57GgSz7eg8pboGfu6nd2PFvV5dpwnvrp59g2N+b2S+ZBf57XFh+C3OlUiHez4B+4cvCPWzl+8r5/e3/kP2x9290f99Q/ar28MbsIvOfS47uHHnz63zAYbh7ze9LPh3mTvuAsv5MOfgD6oPYh74ec45ynLf3a0Md52lT7JGOt4kLGq3lL+tdW3Rp7ldNWrrA1nvl2aHNIL+niZK1hVY+KvmqdZesaQtrlHLocpfrgfHVNhDh1fR665iu/mSdUP+iiU3OpeUPXl9T6JTkGXR5Sc5ZVXFjZCLY1f85X9VCG1FvlkGvj0DpZjUvGWNUtdeo8quzmta73Q+B3NV8xv9wg27pxRWe1ic1aiPpbvrs2fbCZ7vTMYzW+0j8tW3O+VfAVGrj/yZ+7+o9Zb+bb93mTfuuZN+nnw/zoc8bwJh14CPMh5CE8XPMDtI6DH4L2Y2MfHwD5Fq6zF+2IlTJox6FvyNh8CGcsbDN+5sRYHRf7oevnQwcYW407ljnV/OCQXmeTZK1hVY+U01ets2xdQ0g7fTpuHWi7miQZI/VpgTjYqAfK9K/q0/mtuumHA10wh9V1hq4vc6/1Mwfk/K8oUPMAdbeunzrmKeqsrn/qJF0eW3p1XrSQa2NrncBqvOpB1hS6PKDTAWRrry5tN48q11w6yI9nJa2bWs8l5Yr6eT3pIw/a9Lm1kabFRj913JzU8XzVao+uNofaBB9Sx5IcW8my5ecY/PWS/mrJrbfv58G8SR/uVG7szhyW8BCuH04JH1Ld+OoD1T4e8HwwapP21RekL2UeyDUmGw42HuowxocvHwj6BftAXXKSHK92QF/nz77VONCf+sp1Piu9lIW+tIVj6pHyyr7rh5qDVDt9AzayZZ8xJGUx1mqOieMcq2udOtLpOqec30rWDujTd85HOeN7gGsDMgdlWOmYD6SN8uo+hMwj1+dKD/ApKUPqpVzXPuS4dHrgGrAFY+uHI9dKXTf24R9W80i55rLKT7xW10O1dV1mP32c27qhBs+BHHPcvGnF81VbfxCobfq3fwU6SeaRYytZtvzcCP5+eL46w+adw98L7++EdwN/I78P/v777tk9/Oi6TsNwuzKb9HPgrsuPpu7DiYc0H0IcyLIa7x6UPEz5UFx9+B3jCx9Vzz5t/OAW9YldwVb9Op52HpD9xAP7oIuX9inX+WQeK5skbc0l6wGdn5p3Zw/2c9S6VtIOlIm3qjF+uxhbNrA1R0nfgE3nUz3XGbJfq6m63fzg0Lzx2c1L3zUHyHqqlzZQdZyrfRkX0r7LGX18mM/qTX/q5Xy26pt+aTP3Or6qQ0K/G0LGa03F8YyJLOm/zqG7Vuqu5tE9+8T5Zfzs68YTYlXs68aEMWpV65ob6nrebbxrm3q0+LcG9kP2r9qtDf1pIC/Bb8eq/1jyjzut3r5zsHk/tIGfN+m3nvlO+vkwVT0H8i+Odh9MkB9oq3EelKsPHGz44OMDsMrQ+Uo6PX1A2qT/7kOQ1g+cBDttU99+Dh703RxW8VJOsIFurn6IdfbmAVkLMI8aT3+ZL3T2HH7IQuZXcxHj6psDnW5usIqBTXddEv1DVyfIeVWf2kDmZz41Z+N117rKHM6bja5xj81B9Jnzok2Mhy90taHtfII2mTOgL8jq1WO1LlI2X6h+gXF8QR2vORt3BWM1btYp7Ttf9mFj/Crj03rBah5dHsqQdlv1OQ9qXaX2c751/7luGWct5Ea9trA1ni0+9X09beXY+Z4V+fa9/uNV377zF1k5/FP88yb91nNR/hHxncZs0s+B7mHnB1jdAKhbx/3AAj9w0OVDSXhIMkZfylu+wA82xxzXB1SbHAM+DNSpumCMzA1qbRjjg0y9lFfx0he6xurmCtVXZ7+qVc09c7OlDzsPMCf16TdG0uWCzKaUOUv6lkMxqj6kTcqQcwXljF19pk2OmU/2ZTzttmTQR/pJGVY5SI5DrqXMCdB1Y2VbfXY25owuR11P2tS13627Gi/nlvrK+K196SPz3ZIrxq36OYfqAznj02Yu+GTeXgOObh7J6tppt6qPepljsuoHx+pz/EaoPl1jKWfLXN14Q54f0l/117b6oZ/8zLO2K3JsS+9G8e07333n+Bf3feHuTc/93bu3/PzzdrsP+fSrm3e+PuMGfhhuZ87vbnoG4wcR+IDjAc3hmK0PSMhxyQ8bP4ySHE9ZX933ZqHGEez9wEQ/oZ8PQXQ6v10MoM+8tuKKsrkQUxv60pek38xH0pc++JCSVV7QxbNPv1vzB/prDPOA1EWmP3XrOjomhnpbNimD87FO3dxok5yHpK4yGI++tFvJ0M2dVpDJV7nLMedEfdSDWgOo9pxv2WTO6DFOHHMH+wQ97v/VvQT65Ui/yvlfGCBj6Avol5XcxYWqn3NAZ3Uf5XWD9Jk5YlPnIdp4/XLcWOroK33X+dPX9Ut3vdSnPUSnu7UGtkDPjTTkBluf2a7GObe2tis/9hu32tWYGUPQE8ZuFu953/27h5/zqfvN+1uf87lXN/C8eecrNG7eb+S778Nws5lN+jnAh4kPaR5YfhD4AQUpix824gOfB51jjueHQepJ6ucHUZdL+oLMuevnfOUXMga1cKNHm3EhYyvnPIjJB4Q5qKMv/Ve/h/L3fGVvHFqOlR5kvYAPOPQ8IGVI/6B/20qNkTVexYCVTc6n2mSdVnODnEOV0TkUG/281it/q7k7DplXN55zksypzklZzHnLxrnkWOZun+S5OqBs/vr3eoExtnxCxs5r3l3/Lm5nU2GOqSc596xPYvy068BXPge0sTb47vzk/HO89ku9XsbratPJUOesT+pDnWodtLMV7LGV3EBvbaRri5652FY/XZv6tqeJQcuY0Hde/NRPv2X3wl/wC6/Gy5Y377t7Htpv3v3uO5t3N/B+fWbevt8Y853082Gqeg74kBY/CHhI8ZCG+nDvZMDX1ttwQeaBlH7EDwdyUN7yBX5wreai3PlOHR7eviU7zTwq+E5959rpZ/yt/LG/nrzUoRV8On/1/KBKv9qgT21E/37odWSMnIdkPFCn2jBuvJqXqAtpnzZQawTa0W7FrjlA5w+qL8h41sw4kPaQY7T6I36Xg7qZc/qw3uB4h7Gss7FoHVcna9Wtj8qhNeZBnz5SltTt4mKzWptbY/iDjId+5glb80j0d0ztnU/WPvs56j0DaZPXBIglKzl1zYs+5KyT88xYtOJ1MMe0t3Vsq60b8M7PoXFaODaGbYIfwUZSvl7w8cQTT5ycPZ2MDZxz+PUZ3sCzgfftO2/e8+07x7DNfCf9fJg/ZrTgev+Y0dsefe/u//u5R68+tHnAI/vgzg+K7kOooh0PIR4q9cOEh6QPVsjxjE1/zQH4YKgPMMaxTb+w1Q85J2NVMrZ08+g45BvMMetf65N1sa9jlVfqV1/A+JbvzgbSTuhb5ct5HXeMvjpvSBvH0wY/Ka9iCueHrl211aecxl/66mC8zh3sr/PrSN8rf9Llc5pY1Xf1d5r7Iqnxt3xkvqeNm3EO1UB/mW/GPWYemaP6GRcydtXNPCTH0gYyJ/uzNp2cm90tMn9kW/sqfgasOGZ8tZnOnOs8Op1j2fLlxv96qHP9LZ//a3Zf/Sf/9O5XfOInn/TcOBlDmfb+Sz++77v/Fv3hpovK/DGj82E26QtuZJP+jkcfPzl7iu6hKz48eWilfIitBzrgi7fEdTxj4KP7IATt1K/9Z0WdR+a0yr3LN+UEH3Wekv5r7Q/V13FY6UCtN6h/mvl0uXbzWeVdbXI855JUH5Uai3PzXsXP+lad9LflC7Zq1+VT6XzKVq2SrRySzj7n2mF96hy6mmRt9Zuou/IlxpOVbmcH1X+S+ULGcezQPCD9HKp/6uqv5gFdLh3po5OhxuzqdijG1vhpyZoeg/qrDfmhTXxtV5t64nRj2b+SE/rZpH/Fq/7k7td8+mccjHsekMPu8Yf38kOP/8h+8w7Ped/PXr6aT+7lO53ZpJ8P83WXc4AHsf+ZlLY+tHnI0SqzkebBzTkPFuUObXgo4LfzvX9gXAZf3cM+YzDOA009P0zSTn3o4tHW2FDHsy/18Jl+wXjVv7WSTsZXV/tuXP9Qa9/llfk7ro5jtCnXeidZW+jkjCHa5Tqj7daFrK4jaJN1U8e5dNe21hiMUWuR6xzMV+g3vqx80a5qt8qnzg/0l3nAqlYZH2oO3kvHxFIvSf851s2zy0M7jhpfOl/apMzR6UJnZy451uXgHO3PsUPzSF3YWgPq1njJKhf767pInU72POny89pxgC0wX8fUOy3akj81YoNe77UV6tPqI1s3wOpwnhvj2l/tbVf+6Ze0z/4KY3ffffe+3cr9etpjIB6/OpLD777n12fqd9/vxK/PzHfSz4ep6jnAgzgfFuBDEw59qCj7oMC22m99j9qYW2Q89e2zP+FDrH54QJ0Lvuo4/rA/lD8tZA7Vv2N5mJvn+DEXSf0cT/+gDlxv/QVZX7TWIGsBmb+yLeifNkGfObjOuvVWbfRLf9WhtS7g/MF+bbIvISfn3NXCI2OtfG75EsZr/XJO+uDImN3cKl2tIOND5qCfY2Lpc+WfPjD/nCd0eTiW8ZPOlza53iX1lG3BvLVJnzUHdcH+ag+ZU/rodCFzS9ta92Oemat+6WqUfdo7bj6ZH+DbfvRtgc2toAfVd40jq7UGyI4bT/vqR+rGmxaw1Rf93YbcjfuqRY82/QK2suqvPPe5H/i076RnrJxD9te207tR8JW/OtINfP3u++3+j1fnO+nnw3zdZcGNfN3l4UffdflGu+/qAxnyIUh/PqAEHR7k2d89PPW7NZbo1wf+llxzSlbx6lxSr6sBfch8UGCT+qt8uhjq6g+25l/tq271aV/FMT40av6Mddc2qfpSc0o9awX0d3mubLfmlH471MU27SDjAeO1zqvrVvukziF1t+qqj8yzxqmkzYrM7VCtAP3OXxcrfSfoOFc2Cd21qzHoP2a+6GzdM/Z116jTg7yPt2qUNhlfzE25xk+qLnIXWztzr35gNa/sT9QxbjcXyHGouSRpX+2kiwGniZOoh71rLWvOGsxN8o2SG/e8TrnWr6fFF193edUf+VPXfN3lGLtK5rI1924ufh6cFfftHt3d/7637r/7Dhf9++/zdZfzYd6knwO5Qc8Hpgd9PFTz5ubhANkP6PPhw4NUe7HfFvCNL1plwK9sycROH0mXCzpdzh5J9tFqk/1dPlUG9HlAAjnow1rS5zygzo15rPQSfK7qX/PnwFfNtZL6SZ7jJ/Uyd8g86QfnA9rB1pzMU9/ai7qMZR226pc+PT+0xj2g001fxqOVtLfd0gfnQ/9KB1/H1gqMXdFP2tGX/j1n3A3CP/mub9/9ps//1btXf+Ur9v3oQebA8a1/+5t2X/S7fsvui37P79i989FHnjaODNREcv5CfOiukaBvrhzqpQx5L4L61iHnDZlbvXaHdGtsMaYg13onOU5s4zsH0M7nD6SdPjNHUKf6A31yOJ+t+l1vnEQ97PmvDL5BFua3ZX8szgPfNQa4KT5tqy/88yYdOGc8Y9lW+47UAXOvbfqVlM+Eex66+vY9f30kf3mVgzfw+TUa38TP74G/s5g36QvO6k06N7QPUR6sPkAq+SDuOHZ8hbkYfyVD+iLnzB+ZB/vqgYRtnWfXl9Txms8W1jfrkvnXXB1DnwcuY6l/PfWv+SeO1RpuyYdygKqTY9XvVi2xw9eWPXLVqeeyyh3UTx36unhS/dWY1bbOdaWv324Oh/JJm5VuJ6dt9oH96tj/lV/6+3Z/929/815+41t+ft/WNcsG/Ssu68Ev/eUft/vG//Uf7evAxquiX6n5KHd1rLbHkP63ro2+u3s/9WBLF9A/Zj6Ar9TXd40J1WfqS/pdoc6hHCF1c/x64nS63fOzA19dDtit2sRnLXjdcsPczb1DP+kP8k36MX4AHzWHbNmEr/QOxaj53Sp8Gw/1jfyzd++9fKXO+B+1vuwVJ8JwVsyb9HPADToPKx/CgNzduOjxAFTmIUab4G/1doRzxvNAF5+eo2P8lSzaQM2ffnV5EJkPBzKk71Xflo0ydPq0jpmTfcC589eP5Nwcs48j55R04xyZ/7HfU5dOJobUXMyh5pFjUP3WGiTabNmLOurlGlPOuZubdDqQc+cDUNk44HwzJqzmqv8tfaD/kE/6PSDlqisrubMDfTLPrNGDz3veicaV9er8zPnNb37T7lVf+cp9332XNxV/4S99/d43evjLuSHX62Jc6w7ai/raclQ/K/AN1ScYWx38HdLb0jUvYExWPq0HpD44fmhdVOizv96jsvJXc4TUzfHriWN91KN1Hsh1HOwDc7DP+q3aBDv6yNXNb33TLc6HtqJe1c836ceAjRvxzMGW+8EccsMujq1abDpSR1byWcA/ZM3vw+cbef5Ra30j/7a7P+6638jPd9LPh9mknwN3Xb41eJDx8OMh78OeNsmHnQ9SUGYMHfXYBHZjPozV40bnQYMufYCOeisZ9KHdVv7GEB5s+tPe8a4PctxWWTp9ciQfdckP/+ZvrYxpf+qk7MMx59Tp1zkrm/dqzPptyRxJzSUf4Ksx/aTfJOfSyVt5oZOQAx9e9Ne6uBaSQ7UDdDKe+WlrS592q7mil+tA/ap3jM/MRbmr1UrWD3iefZI1YvznfvZn9jLU63/p0qXdb/+Nn325vbIh4g36i170kXtZcm7pm/yrv1UdPdcW0k/WpJP1m6iTOXQ16fSg04Ws3Wo+Umtd9bJ2jlef5kebMtR6p44+uhzTD8dW/WiPiaP/1Eu6cXxAPtcFPeN2bf7QB/hyDNjE1msq6LhZJo+VnqD3Yz/6Q7sX/aKPfJqudaj9xqDf8dTLHNywA32+TT/UdqSOMYkhKUvmnvJZkRv5tz37467ZyB/6as2lZ73g8qqYv9J6nszXXRbc6O9J54HmQy4fbkA/D14eWlDHQdtEvRyjjxuXm776q/3GPDRe6fITffDwAufmg8gHIXLXl/IqT0j9WtetWlXfK+oct3xC5lOpY5nvSgbOu7lXvWQ1Rg5sUPOarq5vUvPKnAC5m7Ns1UVSRznnXGNCnR86Nddj6OJVVj6tqdT4KznJ+OA8qx6g++r/+Mt2X//X/vL+/F/81Luu6uH/lV/0Bbtv/7Zv3Z//sT/1X+9+5+/6osu9ly5rXPuP1itdbvTV8y438+fa6ecYMu96bfN8Ja/slTNHMLfOrurCaddFvY6V9KFdwnjNMcF/XWuQ80jSX9L5Tr1jxjNmp39a8HeMH/M4pEutPvljX7r7xr/9HbsPf9FH7PsyZ7ievHOtdzjO51purrO/tiu9bnMOWzkwtmW3GjtLiHOVxx/efeSLPvzkZDgrzv7HsuHy4+GpN+kr8uGBbv1pn34OHjT1TYtj9nEzdg+j7AdlYhFzNZ7+OXxYdugjdThP38g8ZPKtZtqt8jBPSH3zSqyTraRvbLKeXW3FGCudzAdovYZ1TF9bstS5c9Q5gfFW+ZMD/fqDY+tAqwx8iHjuvIxf5VVdUq9bB6AeGDNzcQzImVrnuBjnmg+QE7p4Vb/zCdhu1WolJxkfsrbmYU58OD/6yCP7MXANMPa1r/2qqxv03/cH/oPd7/n9f2AvP7m7d+nPOXa5dbl21yWvr35Wa6nWSvRrf9ajk1f2oFznuRW36tKedl2kPn05V3W0X9UjdSvdWpMu7lYcyLnQ71HHoI5Dt07VB/o61KVVJrdK57PmsIJaSc4h63SILn+vMT5rbpwDn2vcp6njxrtr1QP8Y0+rbW217dCfpJw1uVHSb4U45LHnnoeutMOZsq7+cN3kmyxabzofBPRx+HAFHgYseB9WtByr/vQH+qwYhwe34z68oI5zdPmu4oJ2nZw4luMpb+UJ6tQ6gHXyoZcYB/2sJzIbxuqPFlK/I/OB1DWm1JrCal0AviT9miN0/ekfzDGvLzraptyBfs5JX2CO9OcHCeeQeQoy4x5gm/4yH+uU196cc97K0I1LjQdb/rSlzfV16JpWe8nrkTEhc6KmD9x398nZbr9W0f2H3/Z3dv/dn//T+75P+dRfs/vDX/Wa/ZjzWvlDXq33lAFfXZ0gx9DP2nVyoq32ylmTKnd5pQ5Hrr+tuJDzSXk1Xn2JPutcOc/6Zz2OrT/t1rMs4+IzdQ/lIq5VyLHuucRY5yv7lGmrrtQcOp+QvqTmZUu/pL11qnbQzbHDudf7Ps9Ze6lTW8Zzo05LbHPQ3xboVfQn5nMaiH2Izm/amccTjz89x+HGmU36OXDXyZt0YZH7oMoHQ/bzMLCfRe8DJrEfqj+OTgbjcK7f9J3jeQ7pB46JmzfwsX1wKE/I3CBrhV0lY6U/ZY70l/NjI6A+6ItWmQ9IbVIXUr+rae2zHubFJqTmAKt41b9kXUH/VZbMu5I5py39ytqlXp2LMeqcHU+MWWOLfZDjNQ/nxJH5KEvnD1vQJ2Q++s4+qOOgTvpSzxpwsLYeu/TUH2ghxx/+5z949Te5fMiHfNjuL/21//lpdYXOn0eXHyiv6iT0o7O6p6os2ulbH5A16WTYqiHnq/vFWOqq1+mb99a8aZVrDcSc7VeHwzHoZPyC+UrGhPSZ1POai1hDa2G8ruaOdc/bbg6QcVfXBlIvqTnUvPAH9EvWRrr51D7tgPE67yTjoZfnHYznhj3PadngEr9u5GubEBcObe5zXilL5t6Nr8DOupkf/xVvOHuOvyrD0eSbdPHcB4PQz8Fi50GGnG9bAJl+byhtIP2tZEgbYqV/yHHw3IeD5+psxSVPH3SH+ioZo8sTGPeDRR9ZK+RVrM6nvrJNm+pLkM0Xm1VsoE9da2ofZDxgrPZBFy/7IXOUHM8acGzl3dHFB+2tozHpdy41Rndd1KEVc9eneJ4xza3mkR90GTvlzh9YD89F/fS9ZS/apey54CPfpPNh+OWv+Hf2/1CU3+TyN//Xf3RN7pC+9FfXPP2Z37F10g/UuLJ1Hbd8g/E7GbZqSAw3PhV0urgrfXxlbs4DMoeav5iXuZ2m/mAMz2v8GvNQzY2R/cIY/vBrPFDOXNQ1xmoOKXOgf6hWNT/7wRwYyz79MX/pYsAxvpyXfdLVTXJdgddi1RKn9uGD/ty4Z8s4937aSfrpWuxk5UOIlXQ6aV/z5Fc6DmfPbNLPgcs/p1+9qb3xWdQ+eHw4JCxyHgw+PPIhYb/okwcbujwQO9k46uvDWGB/6qSMbvVzKK4Ygz5sgQcO56mX8VLeytP/xMs56K/WDTJW9cl1oa8+cNIG0lc31/QLnX7Oy/5cF0nX59z1kfOgj6PLLe1glStk3vpIe+X8Lwjpmz79q29OkjFklVPGBdqaS15D+pTNUVv6u/qkLDkHa6GecWmViZV+TmvPHCr4yDfpX/7K37174xvfuJd5g/6LftGL9zI+bKtfWnMBY2V+KQPnXZ3ST/YnqQMZ11jY1jUBmbOydbF+xu3GK+nPuB70VdSv84acd1cbqDlJ1sRx+8xN2fz0bZ4Zv5L+IWNpX3Ogn8N80q/9zrGLia/VHFKGzocx1Fnll7VGNtf0h63U2hsn7fSZcxRzyBg1ryRjA+d+htTNtxt6+3hmuAHfgnH19Jnnh1qpY9TE2nQtcSo5H3Vl3qSfD9eu6OGGec59z94vVh8CwE3ODcm5Dx/lJB8M2PswoQXtAJ/cKPR1MlT9pD6AoJPxcdq44Fw4uJGZA3JXB1jFPpSn42A8a+Z5xb6a8wr9cHRzFcZr7NTPvO1frYtOBn3QZ4x8EGdunZ1knp28igvIxvYcsg9y3JzUST2hL3OBjLvKJa9F+jWOfczHDxjwwyjnSivYkU/VgZpDxpXT2OccQP38PenPetZTv+rsf//ubz+RrlD9Ett1gR/zy1j02Z8y+lmnBJ1uTrSizuo6otvNGd3VWhavGeR45qEMxs1+Wljpd3l5ADluPcdWdYMcT5/KdU1u3Ze0kjr6dO7S9Wc++oWu33j40dcxcnefQZcfR7cGsFutSfzLMXPhnOtX/Rk/87aemVfWYouaaz3HJ336tU61ZRy9zHe1IU89+/WTY4dabLtcslVXbvRN+sMPP3wiDcls0s8BFiuL14dQ3uS04BgLnhveh4o3f94w6oI+9LOSpeYAxuKhTh8Pok5Om/Rj28nQzQV7ztHL+aTfLo9VnhyQsZR5AFMn6XT0kzBmW/V5KEHG7si5ivppq8zR1QMO1ckciZn9SdpxSK6rlQxd3PSjX/usl/lVfcdpOzmvXfV9KBfofOa1S1Zz1R6qTt5/NYcutvNR59ActJP8Pel/5s//ld3zn//8vcw/HP3e7/nHexnSr/7InRiSY9LlbP+K09SNc+Mau8tDzLm7tpCx63iXk7HU7XRg5dOauIaAHNA7ZK8tLYfzSlIHutoy1vXDsTU3jnVd1Vi/q/6cD+g361P7Vrl3+dFa36xXzQfMgXtM8l7v5oLskWR8Zfziwzjm1dWik48Fv7a5Sc7zJGvtuC2xGafNcfzl2KE2bdNH/jCgvtzIm/Qnnnhi9wmf8AknZ0PyVIWHM8PFWh8GLGzI/u7hlXCzq8+hD/CGWj0c0Ochx8MudYBY+KKvkxNj46vG6HKAOhd9KJuX/V0ePCR9QNCnDPkwyVjI+NNmpaMfdWjhNPrVVpwfY4dqBrUeK5kDG/PJHLNftOGoMYF+qfJWXOTVnAC9vHagDWTeVSYWNl2NulwqjPMhIis9QT/nCpkTpE7OR9/HrEVA9qhzWNXnQz70w06kKz8g/I9ff+XXLsIX/97fuv+Lo/okx6yZMRiDrOkqnrI26ulTjHeobluxqwy0+Kl1cRyMnf3GypyO1en0jQuZT9L56WylmxfUuukr/UPNF6ot/Y5BXZvEJ3bmItoSwzpkP2CXOvbhq4sl2mS9aoy8b1c5QtoAvqSLmXHg0H2QuRijQ33oZH1n7GPJeZivLWP5bAXH3EA7rl33xj3Ps7/apo+Mu3q+Xw9f+7Vfu/8q32tf+9qTnkHmjxktuNE/ZgTc4CxeHkzcuN7w9nlT5M0lVWdFPgB4IHW6x+h0rHKH7E//kg+39APKp8mlw7jEWtUwY6x0OrZ8dnTzq7Xp+ukzhn053sm0h0Av49kHXa4pV33jdrnWPuqdD3xRH/CXte3qDF2MFeaX+a+un3qgfOxaxF7/ibnWuSXG3pqrqPdFv+d3XP196G98y8/vf/j5K3/pz+3+1B971b6PX8H4N/+X/+2qP/0cGwdWOXc5HVs355rXo4udVH1Im5W/VT/nqZPz63RSTvS7Apst20O13fKfuUnXB/RbC0gZDsXJOhqj1i1Bx/u92q1i5XjGyOu3Av2cU+r/kl/0gfv7Y5UndPNLuvheO+cIWZO8tvU6Z4zMu5MPzV3YLHdzTDLnzAdys53nqd/ZwVZs5/ryF33Avj0tL3jBC3bveMc79v+l8O1vf/tJ7wDzJv2M4Tvplz+29jI3C3hDspCzjwVPnzJwI1SdLbi5eVBys690HUfXmMTIh4hx6at5Jj5Msj/9K2/5QTYXyNjS5ZPjgA8O+rtaZYwtHXPOeWzppw0y1PmJ+hw8+ADfaWcM9TqZeNTANmtxI9duJUPGhZor1D7kfMMijHlkbVOuqE/d2JzWOaYMmX/1u9JDJkbG79ajoNthrjUu1Nhbc/VwzvkmnXP44lf+B7vP+XW/YS9/3/f8k91r/sQf2cuALWzFybXLkTmbq3PfWuP0Y3Oa9ZexU4bUNz5j3Ths9TuWOlmPqqPc5ZfzMq8k/WzVNnGcY7XeOGe8Qh9xDtUc2Rid/sqWPuOae9oIOoxxvyMzD+YOnT6YT8r5XDw2R30wRlzw/qiom7Whr17rmi8yNvhN26xJJwt+u9idjH1Xr0r673SphRvwfA67xjinv55ny/Vgo66OLdgC8c3bWl4PvD1ngw608zb9WmaTfg5cflzt27wZWcAsZPu8efNGBm6SqgN5E6cM2nh+aByMoV7GhczBPPTLPLI/basfbnh1rYF2kjaH8nHcXHiAZC4rtnSI5QOKOPju9I2Z+aVuzk9bxgWbfJClnmSMlM0xPzBqLqJc80Df/DLXLm9J33Ws0+8wNtcK0u4YH+SATjdH6Obb+U291VqEnHN3LTq5m1uSsZOVL+ec30knX2AN8P30B55zZXPD99O///JmXR/OrfLTP/Wm/RvHF7/w6W+7sPFeytq6gXJeXd3q+st7PvVAXfJMOfWpAVgPWujmlXaQNsrdde70rDv3GX11XsrVLmWujTWDzE3Udc1knPSHHeegDS3U3A49Z1dzAeW0JVb1kTmae3I99cq1ztHZg7J6guzm3LVhjWxBu7Q1X/Qyd3OErGWta/pLGXJ+jq18aVfj60M5oR8yDjCPbIXzXJf1PGGsbtzr5yNk3nXdHwvfRf8v/ov/4uTsCvX8mc7T77ThhuEGZAFzEyIDC5lF7k3pjedNmGiXOuBNDCmDN0ynC8atcurRZ+zU4QGQfplHRV1IP+oyj5UtGK9+wGU+kPnqL+uYshwaF/rMwzmnDRDTca8toJPz04b8tVXHuWzFkJTB/CDHsk7KnV/rtZLNJ8mY0uW+ksEYyTE+kpxblTlW/rT1oK/LJ0EP0JMtmQ+pY2Jnjo7lmjcv/XRv0rX5ur/+Lftz+LIv+Xf2308HfQh+/tbf/Gu7z/60j9mf8zvW3/pzP7vvJxdIG/xbW+cF6FffkjaO6582QZdDGTv1jOFYVxs59v7pro1jUn3X/FxnUO0EGZ1jc+zi6Y9z9FexIHPLmlffkvpVznjUy02ZqAMr/1D9wmoOnZ9qX2VrCbb0Q94fgk6tv3aArvrKq/txNe9jrnHad74yD8Yk5YxRdbq8KuqYL+f1ebTC8cwTPOfg7ftp4bvovkWXeZt+LbNJPwe4aVjU3ATIPmi4IcCbGLzZ8kbRTpS5EfCDP28MyBssdXM8b3BkclFHPTB2+sx8UnflF7DxjRTUOJ0tLXarfPSRNQBa8wNlfcLWuPF92EPOGZSNmePaOiaMd/nLVozVdSZWd+3SV/XLh07qdnKtU61NlVe5QycbLznGR43NBzFjmQMyrPxVH921cqzTy2tRr4sHHBPb/HOMvNM36LO+SUcHG/z8yk/+tN2XfOlX7sf4YHvVV77iam7JV/3hL9/94f/oD+51/ZrMB3/Ih+7bujaEnLh/wU1Lp5doQ36yqkPKzCXzyDj4zJon9Xp3Pjy6a0P/yndiHPLVX9pt+ag5ZuyKvnNM31s1OPY5CzmXlEHbGkMf+dxJtmKof2y9YJWjMhAP7Ad8moexQRtwjQA6qa+Mv8wTOD+UryinftpXX8bO+maN1NVvV8vTQL7e2+Zu7fz8BvISc8hcRT2fE6dh9dZ83qY/xWzSzwFuHBc1rTcFLQs6b2L18iYH+rlx9MWhLX4q3Dhpg643FKT/9MHNho43GhgvOa1fwU/G2LJdkflgv4qT9QJ9ar8ah2N8agfMiX7GV7bqK69qXWPUOWoHXSzBVtKv+tY+4+v7UG0k5bQ5JBOzi79lC11sxhxPGZAP+WBTaB7m5JggUzfGO7leS/NYxeY8N5GQ8YDxzA3qm/Rq8+o/8if2/3gU/H66c6Ll+N++9X/efz0G3fe978m9Lm/SybObS0Ku3fpJueL8VnOtcsaoudD67OzA1pqnTnd98tpwMEb8tKOvm5c2kHadj0qNjbxVR3MHfW/VAPCbc9Yv4CPJuaQMWz6c72ljoJf2yN09SCtp38luCKkpOUPeH6mftc85QOrnJtM8rXnmmLLUOBx1DcKh+gL9eQ76BMfQq+tCn+mfdgv84iP3KNi5TsG8wfj2mddp36S/4Q1v2H3Zl33Z7qu/+qv3B7zqVa/aveY1r9l9yZd8ye71r3/9vu+Zzvx2lwXX+9tdHrv05O5nH750zY1TYWHzQFj9K+rEG8wbIWGMh4I+OEcvb0puNP0bt8ZTH1/cgMpV97R+k7QVcu1s0T2UywrjdPWCOn6a3Fc+K+bf+dWX89PnafMWYx26btjpAzJ+HTdG1mZr7ai/JVe25p8ybK2RLieoPipdTugesx5EHzWPQ7EPkbn9oS/9vbu/+7e/eS/X316hHl9z+S2f/6uv/mfjv/aNf2/3az79M/a66HCvsoEhzy/9ot+538z/03/+U23OXpeUnUfmlXQ2nUy8fOZtrSlI+6wl447V/noOqWtf6iWOQ5d/zbUj84OUIfNIVnkir/KtdH7T1tzqte9iJ/roxuBQjI7OV9bqNHn+4l/03P39sfpMVbfaZd5bdLlC5gMZBzxf5S1beaBfa7Hi2DwPgZ/MVZlnCTWuc1G+3t/uAte757rTmTfp54BvCaT+9MwC52azBfrVSVj8HMf8BI6eLTcTN2b6T91EO8al0z3Gr7nRJmmLzLGyhVUu6T9l0TdkzSTH6T9N7t3YMdclMXbOD8yryxlqDjWWdHGNaQxImxwX/Osr5UrabMl57SHjA/2OpVxjWx9Y5QTpA2pdGdtaj8i11tqK/mse+ltdS9m61hzk9zm/7tfv35TzNZV8+5i85CUv3v/+9E//zM/d677z0Ueu5oMfZT7k773vvt2lyz54k15zhrwuysbLvFbXUpkx4ok1yrd1q7fD1a/n2DB/yJiinqQfZOpN3km3LtJOzB/SxpxShmqrX33TruqIn6q7ikWbVL/6MGdwLvqwT1Y+wPNjYyRdrQ+tpUN56gN8k75aU8ZIu8wnWa2LrXxBPen0qp/Mw7mmDDmvTocWjL/Ks7OBbr62KZMDvuo49sQbzp55k77gRt6k/6ufe4Rluz93MefiR7Zf8oZhsXtTKWtXsX/LpsaSzo4P1mPf8Hd+M8cuJzlkyzgPjZpH6iRdLOeffcrd/I7NPf1Dl1POj/Fj4ssq58whWdUKjomNjvmu/CSHfHbjyHxwdH6PyTFBHw7VuJPBc+w7X0C/+aoD1e8xtYIun4y/8msewCZEqo6gm3o5L65tvkk3h0quAeStvLU/dt108YTxVR0g55l+OjvlGk8f3VxWsbu5ZS4d+K12mad56cdzbXxbCZlLF7fmjdzdaxmr+jF+UvUzD8hx6foSx7MO1aarm9RY+sk36bUWKzljr3SB80PzhswHql0l/SivqPPuMLa6W3lK2tR8bA/NI/moFz33RDo98ya9Z96knzEP3Pfs/V8crTcG5zw4eQABix85bwxt8gGRN50+uGmqv2oj6BEj4ylDteNGPPT9R+j82s8B1bdjh2wdN5/E8awD1FiAj9V4Nz99Q9VfjQH93XXJefGQk1V86eJkDvVY1QoYX8XGjjwz3+on37CoDzU3bLbGyQOd6/FHm1jrQz4g548M5pNvf2os81VOWzFPqPaysgN0D/k1jzyHqiPdBp04HNjwJh14k854zVs9fde1g019a1ZtVtR8jKsM+JHqE/vTXHuo1wQfHM6LsdoHxma8ex5mLlXmwC59dHmC+qCNb4RFP1BjQdWlv+YL2pJLzTfvS0l9yDxA20S/+HHe1SeY5zFryTjamiugS0zo6iadTKzMBzjvnhc1H+uS84QaRzt1aAU/xtCn16TKaatd6kDOi8O61tjaQ+arT3RtAR1qq4/qD+wbzp7ZpJ8xvEnPBZwyN2y9iSEXPzcWNwg3jHKiD3TTX+rnTQj2d7HV9TDXhL7MMecEp50Heo51tjmeOEabdTD3Lmb6yvEk/XJs5U6fR7K6Lplv5w9q/K2cHeeDSrp80udWbPLMD7fqJ+cCqVdzg0Pj1R8fiIwf8udc4Nic9OP8ofZ3uVQOXROpuW7ZKR/y65zBftrUAfvyEM/x/95LV/7QGr/dRd+Zd8bnnLVR88q6VRtw3lmDlCVrr2ye1aec9tpnnpkD89LGewnfNbZth7ngM2XRNz4yT32ai/Ed81jVIWMd0jWGeWHLDx3e89lvjlU/c0/StzJ+8z6qPjnMGWrcOodVDG3gDW944/4vVWIL2Gc9tmSvjweQk3L2J5k3ZI1W16KrBXKuP3To72TQFlLHPD3g0HXo8sRnrg/Q55Y/sG84W2aTfsbwJj0Xa124LHJuDG6QXPyCPjdKlRPtUuZG6fSzH72MjZw3GWQfBzLkPJCrL/slc0m55lltOacePCRWeaDDg43Ykn6V8ZFvwew7Zn41d3XTjjYhL+dT5wXop2/9QBc/9Zlv6nbzSFk9SV9ivh7degDHcs0e8teNC+P6c3zLH+RcIH2otxWTsW5u6QO71FMG/dLXxTAHyFw7O+VufTqeudZ8rlfGf34nnXydP63xxefS6k0ypI3xgH7pZOt1mmsoh+zMQx2oOXSxOM+5es/Rr0/axPjKxMwa6Eu99AU1Z/3Tpn0l43a6NUZFe32ActWn33nhd+UbGd06Z0i9nCekjrZdDPRck/omL7j77nv39xN92OoL2Wu6kjuMT5tyYvxj1q/jkLWouqlXZdDWvFzfNUf09Zt+tmIn2mgHK3/Iea8NZ8ts0s8Y3qSzWF20tLnQgcXO4vaG4rzTTTlvQmV/Agd0axyo/RlbGfSdfaCMj5pj+jLOoXmol9hnP36RV3lAzT1j6stzsW/l91DuW28SvCYp60ublGUrfurnfO3r8oHUczxl6PLlQ241L8b8gISVP9dkHa8wHz4ksYMtf45Vf7n+YOXD8ayXVB+wqqVt9VHjeB1tIe2Uq58873KA65XJBXiTzh8z8vekex1oaz5dHzjfeq+A8ejP9Zxy2hy6hpD1VT60HvGJb685R+YA1SZlMDdRrrnUvLIG4rjxU4cxyPVJm/bQxcv7o5IxHE87Sb+Q61ZWtcBvravot153bXMuXcwu/7omORftUz91V7LUOuT16HJGPrQOQd28VodqljHqM9UDtnIU/RjvemIn1R/U9TGcHU+/AsMNw2Jl0W79pM7idoGz6FOXG6PeLJA3gTGg069ykrFt0zd93IDczOriI2OK44CO8zhNTqmbdHkknq9qIbWv88tY+uG82jimDWTdqlxr1eXhUeN3ZFzams+qVt21gJpv2nVjxtvyp479qUNbwW+nCyt/iTkfmiM6fKBu+Ug5a4lcfa/igHl3939dA7C1LoA8aj6nkcH87r7n7n3Lm/TTUudb50YsD3TVqXKdvzZwmrVq/FX9IHNkQ5NrQP9VTvCzqiV0eXmkX8fNRx1y13etT8ra5IYw/VXQNe/0BdXuWL/pE5kDv1V/FSvneiimOsTLGlTwKVxbyPmmXbe2UgbyAGKbj7mA44CcetDFgJwf/XW+gr9VXdI3HMqxi2/s7j5QTw7pZf6McW2Hs2d+u8uCG/3tLvzj0YoL2RsBmRuyu1nRrXATcpN0Np1+UuOeJgdv/sS5pC19qXtsTtiom32SeRh3K//OV/apn34rjkHNyRz0k9dkdX2ky2OFcbbmWlnNKecj6GzluzWW/vggrTpdPKjzUe7IOaS/zge6qznKIR/Kzln9le8k4wD6tU/01eWe8aHL4TQy/v5/H/eRu8fe3f+hEX5t41/9hm+5Ot9ai1oXN0L4TzrbunbMTbpYOYeE/mPWYxe30vlPurzqGt+6562FfcarNZMcRzZW5pn1ga4Wxk299NHdp8lpfR6aD1SdantMTG3sS5nxf/Xmf7n77b/xs3f/1//7k1f9ZA6drxU1XzAf8+xyTroYnd/EGFnnVW2g6tYc7ZPVvCpVr9OB1EOHc9r5Pelnz2zSF9zIgvmxN7/rRHpqkXtTVbqbR/jJmV8pxRs50NfKJvVTXt1o4g1Wb3zRl/nXueQ5svnCsTmZgxyqi5sF2KpHbiq26pdzzPGaZ861+qz+Oe9qmj5r7Tq50uml/9Vcsv6Q+VabOpdK52srl+6ai/qpW/ORzscq3ml8JKmbdL6dfxfLOF1dAJut9VljXA/4SIjHZi2hb2u9Sc1L/ZVt1WcD4XxOsxag1qaj6nC+VXv9p9zlVW0zTpWzFquYXT5bZE41JtS44FidW+plbU7js3Ij80r9LiZkfgn9xOYfjrJJ/z9/4CeeFj/tHMuapJxjtUaQedQ4ldP47eq8FafWoua4InNQbyvP9JV63Vy8tz/mZR+877seZpPeM193OWPyt7twuNDzJmJR80FZbyj0tQV+IsbOc/SrTZL6KWuXcbsczDHzR+ZD3DFQ1raOmS8cmxNxzEe/xqdNGT9puwI9dCR9V8wNiMODCNQ3ljr2p8+UJX06j9RzHDpZ3UM2+oc6l9rvefqsNnVtVKovOBTTeLn2Mkbq1nzo40jb7vpv+chrWvNIeUXnGznHwFj6yn7ngcx9ZWz1M36NoZ3zgK4vwYeHPxBkHwcxzdF8tuqCjfqwshX0+XD3OULOjFf9apNzr+Pg3Gk59JWYW1d7/Wcs43TzkMxFGVtgs5LjSdat5rOSc13os/Ov3zpW52Z+kLnAMT67HPPzoctfqm2NBxnTa4BNrhEPYH7itce3VH3ImqScY5L52KYvwLbOm5pQa1n5hYxxTJysBdQcQd2sf+ZgvlvzT/vUSx1iImffcLb0T/bhusnf7uJN4w3lOTcvN7E3ijcU1IWedtww1YY2Sf2U0fNmSllSN3NAdqweQMtDwwcqrWNS9ZXNg1rwIW4+zg3MBZt86MGqjrSgf+Mdqp962JCL+tmX+cOWz9Q1D2qkT8ezbilzpP+VDVgn2eo3h5w7pM1WXQV9bVLuYjqGD8Zdh9Vv6irndde2ykn1AVW35oF8I3OGLlbq0C/I9GceHejkmlG3W5urnCVz6aj5bOVmXrlWj5mLBxzS1z96HPXaAPZSfWWsqgc5nvKhvKDel0Cu2mS+yVY+UOUuh9UzgaPLyzHQX/YZs9p09YcuX/119+rK1n7j6oODPnTrZ0OF+UrOLetQ44BxqgzIuba9/6ovZag1wa7mXH0i20Lnu4uTftPXIV1An8PrhL59otzFcqzK1Nt5DGfLbNLPGH+7i3jT1IcJC7ve2JCLX1tawK6zqTdzysZNvylD6jrmA0S96i8hLx+k5JTxU662xjJG0tXDuslWHYlXOaZ+zhtSnzjdnPgQuR6f9Ev21fHMAZ/WMPWskbWhD12vn/1SfaLf2agDK/2Uc/0Ys+plLWDlN9cK+db1CCnXOOkj85HsU+a4njkn6RfUM/c6j6oPGQe8XthhT39eQ+zV7XKGbOsY6Fc5r+WKXIOwpW/crFfVV0d/OUfoZOy7tZHxjJN66h6TF2zlRj9+eQY6DjlOvz7MIfNZyR01duZexzJu5tblkv20q/rXHDNPbLr8V7arXDvfgo4QT1Z1ADal+so5KqctaM/4qg6gXOfVgR/XiPJWnqs4lZWP1M05AzZec8hxDueSVJ2sW81hODuuXZnDDcObdG4+FjiLGFi8LOIKOtwM3EzKeQNAXfip602YOlWucbmp6o0GqUu/5yudLVZ5pT9ayZwAe+dZdTu2auK5VF2O7u2PqJ81kIyRB1S96lM9yb46rryVGzWytqCufbWGxjhm7seute5NtGOSMcwBVjqALz/QYGsNiz4cT11a6dbeaeaceR66t+hDXr2xrzYJueCDfvMyV2xWOXOOX6i+1WU84yEfUzvAB0c395RBv3DMNQR859xS5sA2/a7iVT3jA/3Xe00g/dpnfpB26mY+nbzKR7rYsooL+oK0rc+BnMdWzWtuOSbaVdscWz2H0r8y+kKfULMk885cgRhS8xVzUz7NOtxCn4CdPjiyLsawBeeQ84bM55jnMP15jt3WZwFs6eDPHIezZTbp5wA3BTeKNwGLu4MFnj9Z502TttVeXewc92aucmUrjugT/8CNaZ8wVh8E6iNv5WJMbTKn9NP1Z6yUu5oYM/UgdT0/pmaMq9fpG8f+lc/Mp5PZQIh9nR/IGkFeK2xhq4bYZ66VrJV+c171MD4Yl/MbqVc9r3M+FKfTzflnH7U/NOdVnlt52Sp3epA21T/UPmLyDPF5kzmra9v5Rr+bG3De5bZaR50uZFzZqlXqQV6PlKHT7+JVvYxvv+fQyenDuec6sC/vX23qmrF/JXN0OWTt81pJzSvjckDOB9Bn/dQcpdYc0GWe6GZukPa1JoxV/0CMVfxaB+cvb/6pN+1e+vKPeloturz1RYwunvkaI3NPf9V3N6/Ol7JUm4QYh962S+bD2Oo5bB+t8zcvfGR/BzrHXKfh7JhN+jnAYvWG4PDG9GaouNhpWfzcBNrygOjsHAfGiMkNlLJj1b7GyRtViOv4MT+ZV7nLBTJvbdCrfdL1r+T0DdYOOr/qEj/f1Hagy7h6qV/j0O/cb6R21eeKvJZpm/2wimmuqxi1VjVHWtGHNhzVv3aQvjq/KSf4rfdK+hDHVrXAJvtq/pB+uxhJjcVR72H7U6/aSNpydLUA7ThqPKDfGOkLcj51bmmHDOgIsv1VdzUncdwWVnNMHylv1db+Y32ucldOX2Ctuvs/wab2d9eom0vmwcHmS9Jnl1cXVz8cos8ud0HfmkLq6os+IO4qH+eXMtB2z2Djuj7AeiT8Fd0ud/TUVeYgXs7BfMB5QOpA+uvWRcpQfcmqDh2MZe7dPCFzUyftcn1xOLfMK/s9z/xo8zo5Xq/RcHbMJv0cYLFyQwjnLGJvhu4GVWZTlw/ivImqrjHy5kxZqj3ol/MuRo7jz3FQpt+5VdlxZci8HdOGfm21Ub/zn3LVty45r06PlsP+pOok9bzGsfW4ntpB9SmZG+S1Es7rNaxx9JuyZAzlvG7G6t7qQGeT1LlVHcdBueZT75XqQz3arVqgU2sP2ueYtknGgXo9cn2gV9cnetVG0hbSD7oc6RNqvC4PUM751LlB5ub8u/UKqZsymGvm4wd+l1edY8rdPX7MXLd8sp7US/uVL+ee41kP/W7VCcyj9jFH+xgHzle1rznQdvnkWgF8rnRplb3fqi7Yl2OZj/nn8yLnynxWZF0g7/kk52W8bh7oZZ6S+a5qnNS8Orn60l+nW/NUXuVQ9Q7JmW/6zLxSlswP8CXoMl5rMZwd196tw5lQf9J0Ebv4czFXGR1tZWWnHg+d7qYEbDt7yLGqg30d50HDA8f+nFvKkHkoQ9XhnIf/sW+mu1idvphzl4fYv6XjOFiTxJpAXg+g/zS1A/WwO5QbqF9lQNY+Y1a/KUPGyPzQcS4rX1DnJNh114XW8dRBhpqP8aG7B0A9xvEl6DDm2qNd2XdjnV7iHCTnkDVJPdq83mL/Vi1qnTs9qL7U6+pXc1CX/i6mpC6tc4KaD+BPm7Stc5Qau9MH+g/VTZAzNlS5q5s4lvWDmmuiHzed1gHSLuOhk89KUUe9rfsBW/tyvNMV64Ntfb5B7av5APXp5rRVI0HXGqcufWK/Oazm0cUyH3Pimqzu+yTzqjIH+jWmY6kLNU/Ha3xl9eQY2dj5PNy699UH/Xgu1d9wtswm/RxYLXLwnAXNTVjlxBuGG6CzEx4A3U2ZN15np/9OB5m4iXHQBXOqsnQ5pY421S7n41jqVZtOX2pt8k1QzneVq/7sy3p1MmRM+09Tu/RX8+9yS31lr53Xsbv+nV/IGJ0doEMsWdmvWF2XJGvG2FY+K3/q5Tj10Uf6Wdlz5Fgnp6/V9UgdSV2oedZ+zvWzqoU+uzlC+pJav5qDPrt5OJZ6KbPZqfVMO/KU7EMv57iaL+i3jh2qW/Vp/Prsg65uUutX15/on1aZ+pjLap1I17/y2V1P7NGBbhxSt6t5ztW4tS/rxzj2jBvbPLvr6RhtysTgBxRkoQ/uu9xvTP0dmgd0sfCDX3OWOmf1rTXn1gEZ8JExtam66uXhuHQyeqv1nDJHkrFXcXKeq/oJPrg2w9nz9CfRcMPkgneRu+DtQ4eFnbKoDznW6Qo3DzcRN5M3UubR2aHHh4mkzlYc/fMwyxs556he5oScOpA+kmPjyMo/ZB6rWqaOsY1rP9SaSsqAPWS/fjK/bm7Q2WWOW/rIzItx5fr2zTl2vh1LezBe6oH61VedF22S+uZb9fQN9Gc+lcyh6lBn+hnvfBhnZZ+5djK5mT8QQ4yX81vpAn6h63cMe8a7t33QxUzSl3Cec4PM4VA8qTK+js2z9q3k6qvKSc6Vsc6n9yHY12GNujhZu1WegH9BRj9zgc52JYM+8eUzHTkP8848VzIH/le1YByMi2725TzwCcbInE+7nsA4gA3U76Sj44FO5pQwvvoMBMazLlBzM47jysc829GzJqlHm+PHXKMtOX2KPpSr71VdOn/2DWfPXe+fv8PaciN/ovaHfuKt+0XNQmfhsth5GAE3Aef5IKjk4vcmOhZttTP+VrxDOvgkb+YEysTIXCXHIXNS7nysYkDG4WGylSusfDGuzw7tM652xs16dbVDl5hdTfVfc6rUHM1DucLY6jqmLXDexa9ypdODnOtKRzIubPnM69fNC7DZ8nm94KPaZ1+VK4yt1kYl4zDezXfVDyuftb/WtMp1PplXsop36DnCpoWxtM88t+7rpMbXLvvr/LbyEu1z3vSt6gZbtat5yjG1WtmuyJwPkb4zzyofi3Phz8LXOdVYUGOkjjC2un/yGqD3/d/zT3Z/7s+8ZvfXv/HvX+1Tb1Xj9GMeW9ek5lx1V/G0S/SRdHqZX8avuWxR/WbtVjKs5gnps9q9/EUfcCKdnhvZc93JzJv0cyBvLGQWuIvec8a4AWhTBnQ9up/GOxvRTrjBurcV2tHmW9ZjfvpPmVj5EzjkOGROVYcYnV31kTFq/ZKVL/vxs6oFoKcuKNNaI/x1sv4g+xP9ZX705fwyR9EOqj4HulsxGa/5AX36gJRzLUCOgXLGTR3azBNy3lD1Oz39m/9qLqKPWkNY3U+VY66BIB97PVJPOXOBtOv67aOFGt/csw+yTisZ0NcGunWQvjkYy7yrDTimDYfgK2u1dZ20NYfqF+r8tp6Bor/UgeprFQdyTLnWCg49lzvbLbnOp/pL9M2R5ymv6l/90lrf/BxRzzyTjAfIOR8O/VZ/kDU3j3e96537Nv1qry3tlp+MVzEvSN3qr9pjU+fW3RtVD8wPPW0hZej82bfyCVXWr7r4q/8FFlInfdTrPJwNs0k/B1is3CS5mKGedzeMNxsHMg+/Tg9WNsQWbjBiruwAO0G/08UH8+Kmr/PQBj+OOW5OmZ8+9Nf1pQ/IGJLz6PznIav5VR+dLOkvZdBf9lc/OUfJ+WWONRevba0Hvmou2qgDmV/WP9eM1DzUQdauzqOSeZqj+pmfct43tU605gM5F3W6uRoDck7Q6cAx1yA55npA+l3lUu2yX/9s8lKv+uXD1WcHNuaTNe3utW6O6dsx+1bzrTbqQY2BXfqCtIfOV81BvzmnzOtYf6KMfXfPVv/Gp0255gn0YXdsTtVPJ0Pa1j6OKndrGdIndDL2df0k6HW5dbFzPtD51I9jOf7c537gPhep49pC9VNlMc+as7rm6r1Y7aXObXW9Uk9/+Yymn6PKuUdwTF9bPqsM6d++JMch7c1hOFv6O3S4Ibw5Em7uXNwsag4WOAvdG8KFznne/HmsbKCLDVt2nkvV5SBvfdcbFbSxXx3o8tNfvoGhr/vJXcylytU/PmsetGKuWzUUZHWrv+rbnLIO9nMtBZ+ra2Q+tjWXtEv9XF/mBdqr64GO/my1M2/Qf+oge90O1RrwcZq1AejkuXgtbKHGRXaekDHAfFbXX7qxLicxZnctzA30C8iZS9bJcQ9Bt8shdaDa4tP8UwZzhm6O+sgxfddnmzju2md8FUPdhPND10md6ve0z1upOhy1VnDofoOU9Wk+cmxOjm3JgK3+ZJUTMnMy/5pb5qWcrfZQfaxyk7QVfeNj5Q+dmuvdd9+9f5PuXLZsnQ/H6j5VhlXO2Orr2Gcghyinf0g9fDCO/5qHKGuXnzP6sQV9WitlSR85F2Wo8fVFPYazZzbp54APmoSF7OJmsXOTg/3oe6N5U+XN401C29kQk4eQth1bsdI/pK4Qg7yxyblUG8kfMmp+9nsOKUvmpWztIP14QOaxlSvn2mWOedR5Hesb7KcvYyTOi1bZOqcNcpJ2qxz1AZ1vSL81b47MWbvOBjp7ZD5oXA+Q+XXzqzGEefqDXMZN3/WDqvOlPflVHXM+dA3Uy3nSrq5FpwuZS9pW/bz3tHWs6km1Nf+UIeNm/8o+2cqZlnHttmJUO8jaGL/m0OVec7Imp/FnDls6snrWaVfzwTcHsvcGaKOdOt01TR95fTJW5tLJUnOD9IPsfWdrjtLNT8ytu48k48GhnOTHfvSHdy9+ycuv1gDStrv2eS6dvMo5fdHf2WYdOhnqdXA8r6dHd/0cE/Ly3BiAfvqEamts1qP9x9aENnWHs+OpO384Mx6470pZ82aEXPjcTEI/BzdRtfHGAezU4yYRdBg79id6bq6qB/UmS13IvBmDlQ35qUuMtE1yzuaylVfnp9aNHDKPrVwdwzZ9Zy5Q/R3jG7J/FQNSL3WAD/Du2kLa1bzMwfpA9Q05R4/c6B5js1UPZPr1oQ0HftK/c6NNuUJf+knfyMf4QZe8qx7UnLocoZsn6HurJgk6acuxugaMmTdUvzl/+455Nphv6kDGXtmae80lMe9VDOns9N89IyF1xPPMH471162N1FOH+WR9ajwxbr2u9FX97p41B/ukxsOWnMgtx1ayeUH6Bfsl559UH8hZP9iqjWi3um8gY8GDz3vevmWNQ47XeNUWOeOlzHHM9VTeyluZse6+rte2xss8ak65hvVDC8rVZ2cD6InzO6Ymrrnh7JlN+jlx1+7SNQveG4EFz0LvYNFrkzcaN7U3CFQ9fXJkzOrLHHiY6RPUyxhiLG9UbkZRv7PhbYv5dzqSc4FOxpbYq9rVepij/eRhDtpbC3VzTNIn+unvGN95XSBlMQb9qzkSiz51Ie1SP/MS+yB1zTPlrN0qn84Gfa+5Oa3s007dpJsn+thpC8q0Hekn13uStYF6r8FWjvRvXTf0yE8fqat+ziNl7NMmybyrX8m5cOQ8lbN+tRbpP6m25mz8bo6yVe9DtYG0r/E7uatd6mz54zmZuVY9wH7rWaev6jfn25F5oav/7OuuOZgTbY6tZPNa1d5nAtQx2tRL+1rbLtfOj59PoD/tMhbQ/+gjj+zuu+++p9Uy7WQVjzw5N2dkONaHz0BttevWNHrdtctrW0n7lCHrDCl3zzNY2WzpbtWk+hvOjqfuvuFMeXJ374l05QEFLGIWM+SNnrj486bhIVJ1U0+fQD83Pw+B6guQ6dcG2YMHzSon9H3wJysbwI5+DnVSFvQy55T1cah26EFXD8fAfCF16zzSzvoxlv0pQ+c7/da8teegr+ZeQa/Wpqu/Y4l2mQc4N8j46HTX2zxllbN6OVbjdnbmfmgNS8pJ9UEs49MmqWtOqVvt0PegbzUXUA+qrn7BeaDrBgW2/G/lQH+1oW+rrlB1kLu5Q9oaP3NxftpKxjDHOgdtocsRanxgLOt3yCd9K3/018OxCmPdvQ6dX8aRa260gp71z2vS2R/LVo76qs+x/PypNrLKhVzhNH6wqb5qTpnrPffeu7t06dI1NhnjmHgekPKx19TYaYt+jknXr12936DLIcdB27xvvb+OteGAjCeHxpHxM5w9s0k/B571+CP7Reui9ob2XOyvNyA3Tt4U0OlyU6Bb4cZE3xw41K05JNpBzYkbs2PLhlbUgaoPmXPKUGsBXcyuHvR3cSB91nk4X2PrO+OlHnS+sw+6vJG7a+MYrdTa1LzT5yo3WL3BlJoL4Dd1a72dx2o+YA51zJzrvDhHN+NVWV9bPmRVq3ybJurCyq7O0/7UqWsp0W+OkbdyZ1Nj1OtQSf2urtV/6ihDFxPbjK8/dGBVN+q99QYautpoX2OnDjlnf5I+1Vn5A+PVa+h4krWCLpZ2nY9aK8Andarrs7OvmDutsn4kc5Sch/0+LyDHVnU2HnVjzGMVe+VHupyAfuBNuvME/R0bL/NNTnNNRV91zH7o+mkzXtcHeS0S9LynUobqkwOZ9ZA/1EKXg/q03ThkjsPZce2KHM6E993zvP0NygLmZuLw3AVtP+TiRuYmSNTlWL0lqqR/YlbdvOkSbVY5dXYrG/qZNw+zKquT0O9Yyjw4T1s784StOEn6rLWir/uAq/XvfHO+mjvnXFN8O8et3KHGqD5hlZt5ZJ3UNW7mkDKkbr5p55wx5pH9iXnnvVB9J+qD/o2t7NgxPlJOPWTHqu7Wmj0mh06HFozBkWs89ToZjomx0gfnU+8tMa+Uu2cPdnm99XeobsJ45iz064N+dSBjKyf0d2vQeRgT27pe03cXzzxTTjJvY8HqHtc+dYlXcVwdOLRmIH0pp6/qU7Kf1vrY79ihZ1d3DWp9sKm6+qGVjCvUAHiTDtUf51vxrCF0+ULnA46de+2HTh/o0799kPHxqy1tRXsw384nsv4qK32oOSKb33D2zCb9HOBNOgufBexN5DnkTc3CZoGz0JUTdPJmxE/aJKmrzEMIvaoLXT7INZ9qe5p5ZB1SNid9G1t/5g7XWzttDsVJuZuv9h5dXQ755WHuJid9AfNDNl84be6HaiHEYlOCDaR/6HKAzCdb0U/th8wV8nrCMXPNOXVxtny4jkSdeh07/W7NdtcfModDOjk3ZNaHY3BIPiYGpD4HsbAx/ure6mTXab0WievL+WBn7MxXO8ah5gB1nXD/pG3KYK7KiWNeW23THvI84+nPPljVLe91sXY5n86+u6b6reu41qeT8bOqe/Vpn7l0MWv/1rxyDol54wsyr0Q/WznhC/I76dXfVrysYdoYS5vqA+jDRnuoa1QyRo5nv9eJuPV6dfG1rfVJOWulv26NQbVPvSrjV3+QdRzOlmvvwOFM4E36vo1FDMq5mJFZ4FX2hoHUp5/zrZ/gpfNHC5lbZ2Mc7eUYu/oWK21ofRCha17Q+ZPriUkcHiiH4kiNCTyMsm60qXesX/LRpvoU8z0md3RyI2BO6NZadGCvX/OgL2N3svppe0iGrAecZq7g/KDWz7w5wHHIuqQNrWOdfpK+0y7JHA7pAOPAeX6w57G6DhyHYlR9IRY2xgfHs6/mJ6u4FePqu9pxTs0zT8gcgH51MmauAX1B5g117JAPWsC+zjFzYLzLGbmzFcbqtenuY9jKXaq/6hsfabu11m8kly6PVW3hkA7jHEA8qbHRf+CBB3aPPnrlxVj1IzVeYt70aw8ZFzKnJOfd5aBdjW8/B33E43N99fxWt8q1PlJrBcZZ+e+uPzbmlHJCPzUYzp7ZpJ8DvEnft5cXrjelMjcqNwMLWllSBm84+h1T5qg3JNDf+QZ1MqfUVQZjJDkfUL/aVaodN/hpcwdzqjqdLtQ4PIA6H1sx00dev2SV/8pv9dnVZSt3/aFzTC2y/vVaZB58gIOx0elkOY2ceUP6qn5X10lSP/OWHMeum2v6rPpirdI/46kDVe+QjuPqEF9Sz7zoSxm2YlR9+/UJ1d7zrLfj2Chnv2TcjJV0duSXeapT9dBhY4COaCfKaa9+jiUrH85FzI1x+2nRs1are109WuX8rwxAHiv7Lvf0CVnDlAG7tM0511hw2lySLg9R7vKWqsORuShX+O0uDz74vKtrrvOTdc8xWOVBTOeqj7quIecth+JUX8YyXmJs2pqHNl2d0pd23XVN/+SYPiD1qy1gR3/WcDg7nr7ihhsm36SvfjJF7t6G0wK2HsKNWXW4kbih1NU3cRLHObqcqpz5KAM6on7+ZH2MHZBHzR3IbasutMbNsaonGSdzTB/KjlU/5pZ6Yu4cW34r6TOxH7I++uxqsaqXMmSclDOPzJV+x1LOnA7JtpB5iT4h7cwD3ZqXaLs1zsE9k7nQdjaOd3U7tr6Z9yGdykrPeVQ5nwXVVrL+q9jVj3r6TP8rGTJuF6t7djkX6OZVSX3g3DkqZ2553cF803f1Ac4l/UDGgKxVnbOxoNYGjAXodm8nMzdz6XwCuhyud1CfNul8qkN7mly0E/NQXtVWqg7H6jOzywv4Pen+dhd9QK37agzor3mA6xHMpSNtUu7iwMpXvR8ztlRb9OxL2bH00T3LHJPqQ9Km2iNTu+HsOfdN+qtf/erdJ33SJ+3bZwq+SQcWOouXB0C9iTny5lCuNwE3LuArdei3D13Qb6IfdbqcoNp1uenfQ5/Jll1Scwf60Ot8MIdax5UePp03D6Z8E5e5pCydH+uV6N/rc8iv+tVn1ZOuPr5lBmNwdHUAZXQynjL5dDnUXJXNCbZkP1Azl8y98791nSTtgHmkjypnLrbVJ9RcldXtxqDqyTE6mSdYny09ZWq1iqG9c+L6WqdKzts1IZ1/6GRi5vqqZBzy955Bdh2SX9XLOVcZ1Oc8bckBOfug+ob0Yf1yLo6lLjhPbSqpl/44iO+8aVes8l/FrPp5z8lWTcC5VrbssOGoMuvUTbc5r/IxLud1LVUbQJ/+N//Uv9x96If9gqtrCozTrUnHsg9qHpBzTn3nR9vJ5FLjOFbzSftVjdFf3V8ZI2VJHxwr/9qlnNjX2UPKw9lx7pv07/9nP7j7gR/4gd0/+Af/4KTnzudZz/mwE+nKDejmALh5vSGBhc+Nxw3ozeFDDVj42kLeKPZrB+nfmx/yBqo5QZcXR82t04PT2onjFe2zrbWAGgtyrik73tWo5g/Vj7G1gexf+a360vmkTTIf2i4WMJZ1SJkDPeMpuymmPSZXwZ+sZMCX8TmMfYz/zCVlUBe9eq9IyoC9pN8Ef7Vu9texKqe/lf6huWR9VnqQNnnUPEC/XGdI/4IO4Nf1lT5Xc1bmwF/aHxMnbZwTpJ6sZDCHTiaGfTm25SPz4j5jnom6xzxHONIfeO79Z/+Kru5dTEm9le/UQQZr4nnHlh1UGZ3MoT63BD39MWZdco4pA/r4e9c7H9nde+89+3qC47TkYPyt6yWZh3Q1h615d3OGHFv5In7WmAPdzjZzqjJozyHI1b8cqlG1VbYdzp5z36Q//Laf2bcPfdBTG9c7nScev3LjQd4AwE3mDckNwE1hnzcD5y78ag/0df2Q/kE5bTrbLi/ocuv0yDdv7HyDAtUudasM6Pugtj00Z2ydZ9av2mUu0OWV9sqJNul75RdSf3Vtuzy26pP6dR2lDMQynnLG1xcoM97VUZ+H2vSfHPIP9q/yUpd5po+VP2Vz01etb1239m/VVxm6a1R1QDnz1G6lt7oWNT+wL9EmdbDn0Helm0OVIXOSQ3HSptp7fuja4jP913lXPca078Ygx2pNMw5rxTFY6Zmz6D/7RJtVnMwHDuXGOdhfdVZvuTt9Wshrr83qOlW26qlc7cjRvmrLHOC5H3jlK6aALuM1h1q79FtzUIZVzbE9Zt5pX8eyP8eyxlDHocsJlOt88r6o/mU111U9kP18Trvh7Lj2KX4OuDl/9zvfsW+fCdx9z5X/ZO/NUW8EbzYWNYsb8iZEn4XPA6jeaFuy4IeHBQ8N/XKDbtmA8TMv0IdUPfzkDYqMTvqAtJOVLDXHVf6Zo/nU+Am6WSOouWhffRlLu6T6rddhlZvjUPOQlCH19Zd+aIlfa5VrAbQ5lCvn2OlTHWzwSatPxmEVq/Mv2Y9erWf6o823bsrQrfn0BVlTZPr15RwyR8a1rTKkP6g6tcZgnnWeqUc+mYc2UPOD7Ev0B5nrSh/SJmVzzPrSQuodG6eulZxzyo7l/KX6r3XqnqmObc0fahznWI/8IW+VT8bvcpGMI8jHrGPHtvySW5eTOpIypH9sGMdXyiu0W/k3FzBH5bRFpg733nvf/m26bOWQdTPfY+e7dU8emrf2dW4ede2DY1DHHcucan5b6xC06eKmL+jqkZAf+sPZc+6bdDfnz/nA5+/bZxoubm8EDmRugrrQJfvz5jgk583GDUl/PZdqs5WXYys9Wm5Qb2zaRBtuZHRTv8ocaaMs6q7yzxiJ46nbvUnKXCTlzk+Vs/b1Ohgn0fZ66lNzreR1r/nZR1w4JlfGqZt6jCOnT3B8FQs6/1D7M6/qj/lL9dXlVHPnWF1zbatfbOtcQH/qd3o5F7Gvm6d66RdybtkPVRfMhZajW19J1e/mmzmA8vXGSX/05TXp5pTz764h1DpxdG9m0y5zUq5zUN/xeo2PyQc6+Zg4+qEfnZUNbPmFmpP1qfra1FxyLGVRn1ZZn51/c9FGqi2Q+3vfe2m/Uacf0lcl6yar+lQf1TZ1On3zVT/rXOvhc6kbo6223Tqo+XHeXe+kywnSl3PTB32ZI6Sf4Wy59ql7DnzIc969b59Jb9KBG4MbxIWdCxiZRQ11weeN4o2RvlYy1JtEezlkg7z1pkkyf0DPvnyTWe2z3/OUHasxzTV1V/nr85g54MO4kP49P8aPpIxvc0yZh+vKZ8b1PGXH0qa7XrSJsc2P8ezLGqxyBcfysB9cW3WN2Wasrg5VTrp4NfcOdDOfPIA4Kz/a1txAmy5f5wad74wvnueYcr0O4rwyt5UM5CKZV8rH6CfkV6/39cahL31srW1rw0Ff+q6oJ+rR19UQzAn0nXG2rjF6+RysZNwqc2ScmlP6VB86my2/FcbVd7zqr3I5dC8D+pJ5ppw5qwfVj3GBMb7qwkY9/dCmnGTdlDnQq/ls2Z523qCt/ZznD0WQNsr4zPGsQdqmjE33eUybpN+Efq7H1rwyltdtOFvOfZP+s49d+a7YM+1NOt9LZyGzeL1xWMQsehe25M2hnDcTN5m+VrIx9E0fPniQJCubPMwBlOlf5Q/04bOS9oLsecqSNjm2Oq950V7vHGr/MX5S1t7606Zs/SV9SvpJWdKGo/NXY9dcsy9Z5UpfriX1sg99PxSw6+LLqg6wmsOWP+j0aDOf1CN3fBxbA1DGRn8137Q5NkeO1Xj3lg1qbt0bYshcuvVfczyknzlC1he9lV3K0MXBr3Yc3TxqfWocyByV67MQVjXMnPRtP2xd43oOmQ9kzVIWYrs+V3FyXozlODbVb9WpoM/9u6Xf5ZK1gE5Gf6uegC6+ch1r08UlT879qovXt4tf10InG0u2bOHYeZuz9tbAfvyI/Vkr5bRNMi9l10RlNaeak9Q55v2hLj6QU284O57+1DpjPuC5z923/gPSN7zhDbvf/Jt/8+6uu+7aHy94wQt2v/Zf//x9/53Ek7t7n7aQWcR5Q4I63CTcjOrXBZ++VjJwc3LTQRcP0PemzxuVNsfNR//coN3bLX1lHpB+ujhgvvYZj6OOQe2jXdW1zmGlK6tctvxUn5zjA+iXlNPfjdRH0o/9NXbmyjXkw7i7luoDfelPH6m3qiVU20rN+9AcBPlQ7oCsL/3X3LXd8tPlid5Wvql3KEep4/jID0VIfTAOeVhj9TM/7Vf3MC2oy0Ef8fS7mgNkDLieOK7LXCuMr+rM+SoOZI45j0rGyLlu2YA2GXclQ+YDxHVO5pC6xs6xzmfNMf2Ccj5L9EFbQb/T0W/6FvryOqXMgY/MdeUbcj7a6LPaIPuPRlkH+skDsvZbctb8kC2s5qxMfs4VMsYK9NVT7u4NIR73gaxibM3JWN2ayHmt7jVkdIaz59w36fnbXb7hG75h99KXvnT3Ld/yLfs+eMc73rH7jn/49/e/S/1O2qjnIubhmDeIOE7LTcLNgqyu+qmnjE/Jcf1AxksdSD1wMyCZj9CHTtohc+NWXTk2DtR51bE6P/p4gKS/RF3zQq/qMrbybS5bfjqf+qCfB5c5qpdxUobT1KfLHdlYGRvs9xwytnLadjVOPclcOLBfrfsk8z40h3ocyh050T9jmd/KT9rndUD2hxz6Mt+VDaTvOi/oYuND7HdMzIc8EuNnP33Yd3nl9euuO3Q5ql/v3dPGqbEk56Geultx6F+tBWPTAn6yhhlDOpsuLqzy0Wf6UnY9QY29irXK0WvhOoeVj5oHrWzpVH39c54y5NwlfefakWqT+WfcK7+C8anvpINjoJ9cCytZsCdGp5N6mdNKBuUuBq2yzyT1lNNO0p546JhnUuN0c5euvs6Fc2zyM6qb43C2PP3OOGP87S5sxL/wC79w9/znP3/3qle9avc93/M9u+/8zu/c/dbf9gX7cTbrX/QlX7qX7wRY/MDCZZHXGwXZcWHhc8Mc0qs+7RN8EH/LBxgPXfxVGPdmTNJOHfXMPUn9VRxwXkmOAb47fedZY3e1SBkO+Qb6HeNBWv3Qgnoc9HVzAn0B8mnqY0z7GCcn7KWLnXkDdhnbc227tzepj17NRWquqUubGLfK6OUcuvxXuWfOCTqM5bw6PzUW0J+oa//K5pgcHUO3q5F0MaSz1W/FWJnXobdx6nGAucCq5uhmHEBXkLu3c3V+xl3Nv8YxFnPq/EPmIdil3iGbjHlI3vKFjK7HMWsJeZUj14I+Zak+oMtjpcN5XScJ49p086aF1DPH1Kn6kjbIxGCD7nfSQZu0p804nazeVh0dpxVzgpSzhl0tAL+SeUCugYy7sqc/faz0Uidl8jT/1IccS33nZTucPXe9/zIn8rnwqZ/6qbvv/d7v3cts0H/k9d+1+7CP+Lj9uXzCL/tFu9f/yJv3Mpv1hx56aC/fSvgqzvWW5k0/c+Ufy/Lh4MLmhulwPEldFr83BTccD8i8CaX66eJ1sQR9xmm52bxJkTNmYgztkuojb/pj46hjv/N/57ve3eqKfp1vza2C3pZvyHy7+cKx8zmkc6g+Gds5gv2dX1np2J/+tsgcpLPt9KDObasmSeaPTV6LVfxj/Vc/NZZyrVuXS/ZB9Z0c8pHyVgxY2R475/qMkcwRUoZuXkmNU3E86eIdO/8ap/Nf7eqcOrr8sbV/S64wtqo3aFPnaT/nK7+HSB/Q5VF1kpX+Ktck64ysn04XVvryR//wH9p99C/92N3v/F1ftD+vdelsVqRdnXfNr+al3NnVnLY+15Mas1JjJXUuW3EA/a5Wq/4Kei9/0QecnJ2eG9lz3cmc+5t0/8Ho/ffds/uO7/iOp23Q4Xf87qfeoL/+9a8/kW5v2OzlDYTM4U+cnh96Y+JNwTgPgbxJ9MFR0d4W8FFjgeeMgQ8bqDET42KX84Lqo+ZKy00vGcc8wX7n373dhfSdsYH+zC9ljur7mDdvnZ9j5yOpI/ixXfkznrrieedXVjrpb/UGJ0G3zh/qenbs0PoQ89qKy2FtGLevyxs6/x36EeUte3RqLpA2oO9DOa58HBqXle0xc8b3sesfWVuubdWnTTIOdOvk2DXSjUuNI+lbOfMF59Tp6rfmDfTLllx94YOYW9cG6jy1V97K0fllvpA+Vnl0/qDqGwO6XGt+h55rqQ/ps+ZJbo8+8tTvSNdGX4BNt6arDNqRQ9U5lBc4ltinX3xk7eqckrSpMsfWtVaHo8bp7KDTga0cAV3yGs6ec9+k+6sXP+3TP2f38R//8Xu58uIXv/hE2u3e8pa3nEi3NzyI8gagBRY6C76eQ9XjA9NzbzZJv52cm1ly0baLVcc454bjgbAVU7yBnRc2nY+0B2y6OJC52HpUql99JplfytD5Nj5kLqlT/Rw7n5VOncfKX+pVuZv7aXWclyjXmKyx/MCFtEWHhzdkrZhLrUM3z1VcWvxpxzms8l75h/TZyVv5CXEZF3Q8KjVH700OY6ziduMcYL7U2/4u526Oyql3mjqu6r6Kg8zaST3y1o+51HgZ03P7uhgpZ7ytdQKZR8o5BlvxXPdJ9ZX5Q+dndZ1Tp96Hq/lVO2VrvKLOuV5/cLzOCboadutIUl9/K33mDg8+76m/OOr88l7gMEfoZGsCXQ1dQ6u8OMD4tJkL4Hfrcx3SHrIeKeeYKNf4tXYru5VOzbFS/Q1nx017k+4/IO14/gs/6kS6rPfwwyfS7Q03NDcw1MVbb0zlbpEzxg1ebzrIGygf0tUPNxBkXHW82R3joI9x7bqYQF/6tIX0Yf6Q9uj4g0SiT/11808Z0m/mnqTPlX9wjAcb19DzqgeOAf3HzIdrxfo4NA/6cy6dHj7rtd/Sh2N08Jvzh+qD/lWdIeMA/Y7l3Oo8IXVrXNEuwaZeNzi25lXu8tOW1nPGibVaq0nmmD7xQY65hjKuco4bA2qO9Xw1X3MR61brWH0mVR9qHGDM9Zp6+qTP/lW8rsbQxQPk9AvI3TqR7KvjylvxuhqBvo6dwzHXD381Hn3HXA/o4tAm6aOL5dE9I8FxYKxbw2lT9bu4wBzvu+++a96mwyrPrMlWfaDq5AE1L+cB6WuVC/rapAxdLsZNGZBrnqvPhKSzqzi+ypUWaNEbzp6b9ibdf0DacfkWO5Eu612A76OfFdwoLn5vgG6h82Cregk3WL3pIfXR4Sbhplr5MZ463lSZB3T2XUz6nIfgM+cDmX/22ybmol9k32BIJ+Mr5y+dP+cpmV+O249dnkPnc2s+GRM/6K7moZ+UpdPDXzd3SP1jdHIs5+/YyofztCbqJakD6NS1Ap0evmrszCf163WDQzVP310cZdGWuImxJfXIx7m5GTdHY9Q4eV7HJOchna/VfLt6Qe2vPp2L46mvbsbR1msB2S/6zWuQ1Brnc3brOup3dX87Tlt1IcdB/13MpPPL9TdvcD5d3nKMTnLoehyKU3PudB2jhbw21V65+oCVTfd8SIh36dKl3T333rvPDw7pW5OuPtUudeBQXs6D/lV99SHaQNprpz7tSq55cn7aNQLpExyXTkafODzPhrPn2t3KOXDavzh6J7xJf+4Dd+/bY9/cdXreJMKNxo3AjaecerT44qbyfBVbndVP22kLPjA4eDgxlvlkLuknqfaZV8qAD0DfHLX3yFpw1NidP9jKD+q4/iX1pPNZ43cxs360oB1tymAuWW+gzTdToj4HOl0eqZPXRhyDlQ9AZ7WepNM59h7BV51j5pP6kHkn9G2tHeWtezJ9G9dzQM4YkPml7HhX+9q3lQvH6t6qevQ5X3GsYn/nG3IukH66OJUtv9rZTyvEsMapp13KxoCaj366+XS63RrPdZk2dT6CjC/1kD0y7+SQjrFoE20g7Q7FAcYF+Zh7FVb2oi0tdDE5p9aHPhu5trxJB+eVep1Nxks512LCeF0jtW6gL/2t8gd8qJvPCuVOX1ZyxsaWdXmofmDcLhascjQW+sYZzp5z36Sf1V8cfeUrX3n1DyB5XNQN/bsee+LybXBpL3c3FIu7HtzQtKBevbm4ERjjnIdE6nHjaC+r2KA/brYt21UOYA605l/9aEcLmTd0cvpBXzl96Ue/Xez0180z/XGok1QdZP2saoceZPwO5uAHfNZhay1A6tMPjom58sED+Ovy3PJLf/o55AN7xrs6ijp55NyVq445VhizVc6cO5ynPtNWmaPLK+uyuv6QMfSX+tWmq33t07bLBTnvTVjprdZs1UsZ3926zLlUu0P3E+QcYfUcqXMBbLl/PE+7lDNG9QuOk6s503agq28OY0v1n3FX68WaHLrHtu5lqDXSTjmvx1YcWsh8PYwBOTd96UO79JFyl2utj7XuYgo6jz76yO6BB56616CzqXWpz4dcJ1U37y1jiDrV96H8tcm4KUPGXNXSfDK2fbSdv5pv3t/pU8wr80VO3YwznB3nvkmvf3H0euCvkr7uda/b/3pGfkUPx2d/7uftf6Wjv97xovH+3X1XFzA3EzeV59xE3iTCwgd1oN5cjjmeetqLejW2cENCfTsJqWsOnHcfoMr4yHl580O9ebHJvKpcayOMm7cYv9aUfg/6skar3E6jkz7VpeWo87J/NS/6Ml9z8BwyB6j9nhsHzA8yftVJjJl1Xs2z80H/Kq7UPuLVddrdI2nHgX6iDXQ5J8ZJujVU8+rqsiJj4PMYfbCe2GSftlWP87w38wD1AJkP5Kxj1kyqjK+M361tqHbarHQga4y+urSwmoswlnloJ1xX18pKx9j1h+aVvpgX41XXvM0v6wHqg2Ppo453140WjANZoyobP+2VYaUvea221oBz6WQw32Pup4ylnXBtH3zweU/7DS/VBvAvW7Gg6uqTo3tObM2D8Zp/teFcOv2tWnbPvUQfHoCeINNf/Tk/SfuUwXyHs+fcN+n5F0ePoX4n3c35W970g9eM/bW/9N/sN+n/2Vf98ZOeiwNfd7n88+bJ2bU/heY51JsBmT4WPTcBC185x7mRoN4soA5txq791Q7Uwb++1fMmBvQqOS9QTh+SeXUymKs5OY4vzsGxfNNh/tLFz9xqjWVLhzb11QXkOhdQrvMCZVqxz7jG2+qHzDvpcun80lpn5w2cH/KRsqiX83NTKbkG8hxyrhk/P+QgbdCt9TA+RyfXmKyhLq/Veun8HnufKuvXGNmX6M9+8pKMnXp5ZB2zZjm31TwhawVezy27jJNjtcagbtan8+tcpdpBzbXzXckcO/0qm9dKd1VH9XOsy7XmAl2s1fVTTlZxVtcPspZbawBWcoKPrXhS14gtz32+k56/3UXSxvhdLMYP1TDJeWtH30ofav6gDWQOUPXRUzdlyHyyH9Kvcp1btUl/1Tbl/IzFhh9wh7Pn3Dfpbs6v9zvp/+g7vnv/KxrvfuijT3qu8OEf8Yt3n/EZn7H/S6YX7WsvfN3lyd29J2dXqDeW5240XPjADcKip0+ZG6KOQ3fzgDeZdPG2bPVv3KoPKQsxuPF5ABgzfSSOdzLkHFLGj+foOqe0O+atE4e+nK8coyPoOOecex2zL+fSyeYLGbdbA3VuWfek5qGMXY0n9Gd8qH44ttaIOqBvzvP6SOpC2pkDfcbXR+I4/Zkn5Nw6mVxWMe1Hhw+jbn1B9asPdY7RZxyZGN1/6YLunqp+067qW6e8jsbNHLrYkj7UW9mpB+ZpLmAOVcaXpF99gDorO6C/Ww+ZF5iT7cpnlc1LfZ9JkOOJuvoHz+u1WY3BKpeVDJ0vDuadutbZeoBxIe2x6fS3ng+0xNt6Xov5MmYOnPvbXRxLO/TUNVadG9AvqZNyos+0q/4rmYuscgD1t+on6OX8V37Nj/FDuUK1lWqb8Yaz5dw36W7Oj/1Oer4tf8Mb3rD75m/6ht2v/ORftfugB6/d9MILX/jCffvGN75x314UeJP+7N1797KLN2+clHk41RvCc1plbog6Lt2NpC0x8ubFT/pd2UrGhU7u5pQfUumj6q5kciYPPgCUzUvZc+cE2X9MrvpOHOPhCOlT1KEFcsj/VG4/ZJ++cl7dHM3Xc8g60m8M+yDr3uWobsqAnfGNmXJS51h9KWetc45A2+lVubs+xPOtTeYhjrMOHXcuq7orr2JK9ndzrn6TY/VpPVZkza0Z5HVMOn37tE27zgd69fr4g0TnI8n4UHPRn/cc6OtQPfPaYa9d1c/5Op592AMyPg/lssoL8LsaNxatcsaCem1Sr5tHF2sl64u2xtFfwjh0OWOf1x+qvjEkx82ZY6WTMfOeBnz/9Jv/5e6lL/+oa+JUu1wXifr0H6qhvvRb9WlTH6qNuSSZQ7WHWj/v8cqqzuheT65p08mVjD2cHdeulnPgmM356tcu3vfsJ/ZfaXni8f4nNO3e856L9RNcfZPe3TiQsjcNBzexN0vCGDdHjmlDPzeP58INXW9eOWQrOa5sC3VO6BEz0e9q/lXGnjkqZ004an1qn3PJ3ME4nFMbHvrVLxgX0nfVqTBurMR8AJ1ujqLuyg9zIofuuuhzlWP6rHbJoXpju/Jlf8auc4SVnnQ2ScbM3IRxD0BHn53shtOY9K9qoN+cM4e+urkeo7+qe8qCPWAPnDufqgvGZN0n+jkUG4wFyNrSHrNmTrtGsO/6sdef46nXxQdturHT5FLzqvFocy0l5JDXoIsFmSuknvOHmstpryPoK20h46RNzVmdlT593bWvPg6tD/o9yJF83/Wud55oPBX/2Pqmr9TragjmY4zu82NlAzWXzAFq/SXrgn3GShhPXf3eSK6Mu5ZTrhBzOHvOfZP+j/7B39v/Q0/aFfwlUv9B6Bd8wRec9F7+yfDJu3fvfvdju0/5lE856bmW9773ytvq+++/eN+FcvGzcLlpuFlWcoUbwJul3ki+Scgx0MZz8WbKG1ZfPBCg2jpefSt7k9J3aD7Vl3qH6gKc6y9zAOX0zYOoxs+56S99Ind+q5+VjnrO09yZB332W2tIu5Sh07ePFuo1sA9Zna0caZVdT9pJ+oasbeeHNnMwbl7bRLutNbCyoeWAzLPLSZl64k+fnex5kjXIOKt7p/OT+RzSr3VfxceeY1WrTjdzQJ9zcCyfLdDJ5uuRrHI3LuT89dHNwZy6uSXOBapejd/N0xjd+qswlrG24oFzFuPTmvcqlmRNazz91RqtrgOkLw7tM6+ch+tc/dV6M5eqn3r6RreOSadTYzIGnHMtn/vcD9yf2w/4OZQrrfKxNURHPXSQOz1Imy6XLo/TfL5XvfSRP6TAjeSaOacsxK2+h7PjqZ3ABeU5z3lg9w+/4x+fnF3LvfdeeVt90d6k5z8cZeFyg7CQj/lpVLwZ6o1EfzcG9HNz5c2d8ABlDMxL0hY63xX69LGaDzr5wDBuV4tDdTFHHiLmY57mgo86f8Y4nH+tTfVba6h96nBAV1Pssn72VzIfjs5P9nWYB5gXh7l2vgU5bSo53618Uq6+Vm9wALusV8pbNpAxlDOPKnf1h+4a0IJzyTpA9acebF1ToE/906zHGl+6uekfqq4QsxvT1iNjc8ixuUPGgfRlHs6B86xZtw5qzG4sY+Tc/GEzx4idOXT51BgpwyoeqAuOAf2rWAl+qGmNDWmfaNOtocxL+8zL8eo79WUrl26NZPytNdTlaCzHgHn5Jp1+fdGe9jOpgl6t4SrfrVrnHMB5AP2Anjkhg2OivyqnHjL93XyAsa1cYfXMXsmAjJ/h7Lnwm3R4wUNP/5fb4D8Y/eiPvvYfld5q+LrL5Y/gaxa+LaQs3eLnBkKXxa8syB4JN6c3bfXHjZcPhUrapu+a2zGkDX71x5E+jAEpS/oBc+Q8fYI6x8w/fUL67WoIqSOpax60XjPbjrSF9GOM7Mt55tyyjw8+qL5zc1LXU/Wn3M0380k/1VfmwVjmkj5sq8yxslE3c4Vac/S6+qfd6hqk36xDxpdj/GUu1gddNhKgvb5cq+kT2fg5x0R7WuhqAulj5QsydpLz7HLPDYcHqOP6yDHJmnF4DjUmaN/lU+dG3qJ/ZUkZuvhwTDxRt8Zc6aVP5Hx2Qd7PK/La1etIm7bVV+e764OcW7K1RjKnbjzXR+IcOIC65Jt09LH3PNE3LbHR9Xqt6GoI+pFOz3HidPOAHDMnsN9zfHU1Ume17tJOtnIF8zBHOK08nB0XepP+kpe8ZPe8D3jW7p/+X9+7e+KJJ056n+Kn/tVbd7/q419y+Sa98rvYLxq58Lmh6k2WMtQFz83CuDKs/CTeqN0N5NjKlhudGz79A/bd2ErWpiMfJOjbHusH+/RhTcxvNf+063LL8ZVe6gjnxM7cseOa5ducnJ9oa94czMfzreuRce0zFqR95qCedYOcZ8rmlDJH+oHqK/MAbHKe5p21yLUNh2zoczMIxs2aZy7YdfOtcSDHgX6OzPFYfxzoosOmonvDl/bI2nFAyvqqPgCdQzWB9HHsGu36ocu95rZaH9019xDk1fXp7Lr5d9TYtBxdPhm/XttD8dTj6NZPjQXOD5DTBwcx0r76EvWrDOh7XWGV20oGfXLUeoLx6nwAvdV4zs8cM5Z2jOV30rHRlzr6gYyjrtdLPdok49mmH6l6yqs17rxqvO46QMaseec5rOwk80s5yXV+SLYdzp4LvUmHf/O3ffH+t7f80A/90EnPFfjNL3/3b3/z7t/6HV+8u/vuK3+G/6Lg111y4XMD1ZtMlNF3wWtLu+XHNyrgjUkLefNUn6CftFn55zhmDqCsHWRuyjyMGPdhAsf6wVbMyxYdbercwTH7tnLr9DK2ZG3U71DHeJB5e87GifP0C3k94FDc9AVbtlkrdVZzTh04lAeoU+dlLbb6tsbNhYO+pOaivfqScRyrtpA5wDH+YMun/XWtYntM7UFd2kM1kdWYc9If5Lzt58iclTvSHl2pfnOu+M85WU/nRbyqB+jWWkrnE+hTv84TMn7Kjh0TDzIm1Fgcx9YUDvmqsvV1nt1/sZFDcvWdb/tzrJuPMvkg1zGgxV/mCNnmm3RtPUBd88qxlGU1t5QzDnQ6uY6zrurBMf2Qz/xaI8hckm7Oh3JNyCM/h7bkmvNwdvRX5wLxqj/0+/a/4eWVv++3XPP70D/pkz5p94mf+Im7L/+K//ik52LB112AhSzcKNxg3GhV5kCXhc6CB87z5pW0Q1c9yBtFX95EiTGh3lz0G6ParfLvZPI6lBvj9mNbfXEAD5L0080nW9B36urnmNzkUGwxd3X1Tws5n4wHOSae01qTGpvc6IcaL6m+xbjY5Nz0BfTzYajvVZzuulcd46Xsm0h0t/rAttZPGF/FNz/oxjMO5FpJ0KlrtNPd8lfj01r/br2lfieru6LaWAfXK32QOVd/jnltwPyqnPEkfScZL+dqH+O5zqXmIdhz3q1ZUJe+GhuyL6HfsZTxwzP2UDzBLtcPpE7mknJdY+ZwyJekL9Dew770t5JB35znRhK6uNapysB5zQ/0yUF85m8M+3yTnr6yTubMsXUPqgM1f8kctYeVjnR+Yavfenc1ytxTlrRPHehy7XyIOcJK7u7P4Wy48Jt0/mjR29/+9t1P/PS795v1u+66a3/82s/5dbt/9s/+2e6B+559onmx8OaAXPzcENwYnKcMLPpc+OANtfIh6unDI3WEPvxxY6VuQgweotU++7dk84HMjbrw8DBeF1/7jJ0+Uxcda6M+MXJuSc0tP1xqbnJsbGTf+ohy6nVxOl8p65fzZFXrLV8pUyewBom+7N+KA9eTC/GxoyZJ7Ut9czWvHIOarzFrfl570Aetcl7L1RjnkL6rrnlt1SfXQ+rRZ4zOFlK3m49UG8Zq3nU9dP6wod91LOpK+sUufVS5+so5QVdf+vJeUleZQxtIn9rhK2sv6QPM1/okabuKlzrgfPDreM5FUl5dq0O+Or/OhzZlSH8r2Tj6ZEzsr3FtIWXQJtnKC2i5D7vf7oKe5A9z+hDlrMWqdsqJ9lVX8Oe1ot8jx7RJOyDX/AyuOlvzgDrXQ591XS1SBttKjTWcHXe9n997ODwNfhC43tK87dH37t7x6OMnZ0+RN0QHN/I73/Xu/WJP3bwxtnx09tkH3JzK6uDf/kM5ngZj86AB4hzK69j5Qc4FsLVWh+bW5Qar+IdiS2ev76TLb4vTzKeLt+KQ38oqzvXmkvGRa1vr3sXpxqTmmLkB41v1N5dKFwsO6RqPD0zyoGWjsfKX+R6SnUOdj77VM7Y1APN2vumj85f6kDY5F/WOIe22YB7UDKpN1sKxrBVkTjXXOoda29TvYkGNt9JLjq0nVN1Kjm/57Vj5rBya0yrHWs/MZSWDfrB/wxveuPusT/3l+/OO//BVf2z3xV/6ldfEwl+ud8foM9ck69XJlTpfznMOaVdrwFjqdzFW46t5rHSg5pqkjwTdmnfmY34f87IP3o9dDzey57qTefprgeFMYMHyk6pt3hAs6O6n1fxplD5uCsDWAzp7dKt99QnKmQ9Uuy7GSjbPirHRq6zy2vK9NRfnk7JU34CvfLB1dslW7HqNa+767tYCrHx1fmE1H/o5R3/L16E8jrkGGaf6OU0uCbFAO8i6V/3VWOZNvwdkbpI+MjdtlGvexqFVPjRHIB55sP5oOx1RD/9bsnOAnE/61kb9Lm9Jf/kGTp2URZusyeq6d3JiXpmj65D8u/iQtdAm5wvadvZ1Dumv6nexoMaret2cunxWNvVagWO0QE1z/Sc5n7wO6qUvZfOUQ3Pq4kLawSG5+sH+JS958e4Lf9e/d9JzLfuvxn7pv7/PBV3WO/PzXhHzoM8YWQtZyTlX0EeSc0iyBoyZl321nt24cbt5dPFy/lXHOHndunWReUPmY42Hs2fepC84izfpeSMANwOLPxc6Otwc+WYob6ZqU+0lY2kP9hPDn6aV8bOyOw01z/QJxuve4GVeXfzqC9Kmcszcqk/Hujqv5mJsbdHLGtgnqbei+koZv1k/x6HzueVLeQVzdD3CId2u3slWfM5rzTqfqzjZD6v6H0PmVuOt6oZerdVKdwttVuvuGMyZ9bGqlxDvUK7pr7Llv6sJGPOQnNcwqXFStxuD2p+s5qAtZP8h/a1YkH5Fm2NykVWcVd1X1Lw5P7b2spVf+kt755rrdCWbS/rR78e+/EP2Ywlv0V/xpf9hmy92h+bRja9yAfUPzbX2g2Or53oF+608YSseHDsXOBSj5ouvi/ImnV8s8qY3vWn/V+n5Y5m3M9f+eDycGSxYFnMlbwhvAn5CRV8c8wbwTRakPTb1J3/QPvvzJ+78iTh/ak9/p5Gl84nMBwc3NK05SOaFzxqjI23AOLR1bl4DfeszbUQ7SB/oqN/NgXyJg2/tau4ZW/RZc6wy4LerlTrH+kpZtHVOxOmuQeopWw+oY8fMC2rNumtY+4gB2Q/Vl5hTl59kbjXeaj12tUo/UuPbJ/qoc6x2Xd5izuh19Up78kM+dJ/lB7H2nf/MqasJHCODfunv/CSrOXY2mT+sarSKeUg/oX+VU+d/VU90VjaQcfCRuslWPsmh2lc/qdPFrfWCnOsxMuRnIC1j9W06b9HZoEPmCciQ/creDznPpOaiXPXtX821xs3PReYH5tHVFZt6PUB/tF285Ji5mIOkf9AH56mbfm81X/5Fv2n3WZ/1WbvP/uzPPum5femf9sMNw4JlMScuaG84Fz0tN2vtB25Q/WjvTcGNzQ2uDUcnS9oq+3CAzPm0cvqmX1JWRz3JPvJNv908AH3rBcZBT1/6SR/KjuuHOldZHVFfvfRT65CxVjKkrfChoS7oUzlRFzpfkP628hD609dKT9mc6pj2q/jg3Oq80mfWFjIO0F+v4aE5pt+ak3Q5VF1axg/dh5Dx6cs8jdHNscroZYwEe32sfDmXlFf+oK51QK+rDzDG8yz7kmPXA31bOaoH5gXI3fVwLNHH6jlYWcWrOUKnw/jKf/rOcW2OmVP1v9KrMcBacFQ/wtgxnxmgL8jYYD9syd7X6ffZu/fuW96aJ3/oP/7qE+kKxnQugM8uf+tEm7JkLsqpQx8HrOaa/cj20+b88Jl5IXPt3dDXPEHf9NV49CWMr+aiz5RBX4KdcUB/F4VH3vdh+/Z5z+v/EObtxGzSzwH+4ih0C56Wm89FTx8LHLr+7k0WH3KAPjdK3kA8gLx50lfmoD3gg5uLWHnTnVbWt37Sp3rqZC4pk1fqy2oePLCcL4cxGavzyRopO27d8Zty9Zv+8lplv7mp38WFzlbSt3VJyCfXwFYeOSdZ5aF9ypJ63bVVPlQrUDY/c63zTP9iX+03xtZ8senyg1VOh3SzDl1MyPj6om917dTLXLu8ta05d/l39ilD9Sc1T32l/6SeQ+Z27HrofHe6Obc8uhiOgXFoyYl+fSWpV+N1+hkrde1TlvQP2OS9oA3HoTmlLFv5iDkYt/Mj1Krzk3I3p6xTjtfYCbHyMxCe3N27b5/34EO7T//Mz93Lv/SXf9zu9/z+P7CXM7d6QJc/bVfbnIPrlnNlyHms6mv8PFbkeKff5cm4scnHHOjrWM0FVv7NAZt6vfDBdboovOvRt51Itz9PvyuGG8Y/ZgTdgmeRu+DpY4FD3uTZ740H2S/4Qgdbx/KmqjmkPTHrWy9uvnzwKEs3DvqmL+OoD+ZCbse8vdqaB/3aGNM3DulLH9YofUr2pVznkuhvVQfImJ2ctrRAyxg6NTZjtW8rD1nFR+bYuubqcNBn/LSBHKtgW2Oe5o3WSk70q1zjod/ll3ZZs2N0c5z+rRpLnitv1bLLO33UnKXad2/haGHlTxxPX3mfpb9OhvSLr2PWQ6IepK9OF7prsZUT/elrpZc6NbY5midzWtX9GP+pDzkX4xx778IqH1jFTdmxvPZdfFjNCcjnmOe/mL/4+fqHv/q1+/aL/+BX7OcF1Vd3b9XPCCBG1hZyDkC/Y8rHzqPLw3pVWaqNMesaYJzYeV/Sh4xu9QvaKqfP6h/MBeo88e3YReChD7ryJv2RRx7Zt7cz8w9HF9zoPxz9jF/9Kbt//v++/qRnGIZhGIbhzuXFL37x/h9tXg9n+Q9H+WOXP/ADP3BD+VwUZpO+4EY36X7lhZ9s+al02mmnnXbaaac9uxY+79d+6u6v/I3/dffCF37o0XbTnk/7kR/21H9VOC1nuUn/tf/65+++4x/+/Ttikz5fdzknWLQc8MTjV/4z0LTTTjvttNNOe/0tn6t83YX2f/lb37j7kX/+/+z+m//qT+7H4Fg/055PexF49zvfcSI9xfd+7/fuXv3qV+9+22//wt1rX/va/fntwLxJX3Cjb9IffvRdV/+ByzAMwzAMZwffkeYtOpt0+M7v+ee7D3/RR+y/H+33qIebAzXnO+wX5fek+yadX8v59re/fb8x/+Zv+oaT0ad4xStesXvNa16z/33qF5V5k35OvH93337hwrTTTjvttNNOe3atb9Hlr37d6/Ybdzfox/qZ9sZbal7/ke2tJN+kf+onvPTqBv23/rYv2H32537eXobXve51u6/5mq85ObuYzJv0BTf6Jp2/OMpPli5cZP6l9TAMwzAM1099iy6+TR9uHm7WL+KbdGFz/k3f+PUnZ1f+IulLX/rSvezb9ovKvEk/J/hHFPmTJTKLmcNfhzTyyCOPPPLII59Orm/Rhbfp6lSbkc9Hlov0Jv3ht/3MiXTlKy25QYeXvOQlu6/8yq/cy+94xzt2r3/9xf1NfPMmfcGN/FT32KUndz/x5nfsf3/qO9/17mvepl+khTwMwzAMtxu/8d/4tHaTDvnd9OH84asu1Poifye94xu+4Rt2X/iFX7iXv/M7v3P3mZ/5mXv5ojFv0s+Bd1/epLMZ51+f56acTTsLmoMFzdv2kUceeeSRRx75sMzxw//8B3cP3Hf37lM+9dfsD/jET/zEq+ev/4Hvv7pB1/a0cUY+Xgbai/QC0u+kP+95z9u3HR/90R99Iu12P/qjP3oiXTzmTfqCs3iT7nfQ+f4cb9Q99wHCwh555JFHHnnkkbdl8JwNonzyx750941/+zt2L3nJi/fnvBzrbIX+9Dfy9cnAZj2/KXDR3qS/+EUftHvDT731pPdavuu7vmv3WZ/1WXv5L/7Fv7j/WsxFZN6knwO+SXch8+dz2aB7zkJ3sY888sgjjzzyyNsyeM5nqn+HBB544Dn7Po5q6+euOA4jX+F6ZI58e36R3qRf/U763R94pT3A/ArGZyD8sYVc1JDnvF3f+kcYMz7jMz7jMz7jM37tuG1+nj722LtPpKfGq17tn/bGWuC/aPjVF9qLwkMf9GEn0nE8/PDDJ9IV+O0vvNnnjx/damaTfk74e9JXDxp+4u9+ClVnxmd8xmdcZnzG4Zk+Drk5R0+w43CcTaN9+GUjSSuM88OAetiN3vF6QP35lkC9Xrea/O0u1wv/6PS+++47Obt1zCb9HPigB++9vLQv7eXVgwZY/Cx8bgZkqA+jGb814z6cOLyWkONwUceBsYtaX5jxGZ/xGT92XB3w+cdmMlGH8fSFnBtJx6dvu4962ucvwrAvcVN/Ubj6Jv2Jd15pD7D6usulS099tt4qZpN+Tjy5u/fqg4XFy8PG88SbgUXveOrM+K0ZTx2vJbAhdpzrysPpIo7LRa2vzPjFGQfXD+fP3r33wo5LjtPvITN+54yDrTr5vXQ+YxOej27yHetiTF/fB75Br+NVz+t0UTjtd9Lr113g/U++Z/O3w9wsZpN+zvBQYfGyiJFZ9D5oJBc/m66qM+M3bxyqji06bIiBPq+rXLRxoZ8DbnV9Z/zWjkPqcLCJAXRcPynLRRo/r/o8k8e7MXCjC7cqP6Bf2fHcmOezEHg++vbXMX7w05Yf+JA57Me/sv2QOnBetmANmBvtrezL2jlu7spA6xq5CJz2O+mVBx64PO8n7to98sgjJz23jtmknxMsYBY1Nx+Hi5lFD6vFzg2xpTPj5zfO9YKq40NLXfC6Jo7BrR7ngck5h7nDrazvjN/a8W59g3+/AdDNFvzwrWP6hZtpD7O+z37cDW2OQdrcqvyAfmXXS75JdwwYz8MxfsjTVpnjUP8xOqv+Y3TsB2tgS+63oo/PPXMD+0WZ64Suv2L6InDa76TXr7s89thju8fe/e4L8SZ9fk/6ghv9nZ0/9uZ37Vs+GPkd6f710fxVjJW8IVY6gN6Mn/04/UnVYdzr6QOKzcJFlSs5v1tRX5nxWzNOf+Jazr/fsFpLfAiv1n1yXvaysoOc362or9yu4/RDjtlXuVn5GT+fu47T0u/vSX/Riz7yGlvXij5E22wh9Y8d29Lp+o6xo73I5HPDOQDzuCi/J/3/+Pb/afdP/um/3G++t37/ub+95Yu/+It3L3nJS/YyvOUtb9n9sl/2y3Zf8iVfsnvNa15z0ntrmDfp50S+GWAx+5bCm5CDRe1Pq96YjPuTadVRnvHzGa/Qlwes3ibARZKd12p+zuk09Znx23u84rMpP2i7tYTtat3r3/a87M1/ZVfnp02OK1/U63OrxwXZA/xMor3Zn09S149j3XfSHVO/5g7IxKOV1Ad18Lsa27KH67Fz7Fa1h/BaoE+ta70vAv/a5/zO3ate9aqDf6CIDThHbtCBN+nveMc75k36ReZGf6r78Tf//DUPmYo3hDqcc/O60OlPnbyB0q83SpVlxtfjnX5S395Ivkm4SLL/tYaWD6+uFq4xxjiHlCHtskZdvWb84o53+h3osS66tUSfHLPOzsP+GDtwHrO+n2JrvNO31n4O5WdSgh32VYZVjC7eofEV6pKvb9I//EUfcTL6FOhtoQ/XWqef+VW27K/XDrLut0I292Mhf2wvypv0G2XepD8DYMGycL35aPlJmRsTuAnqjeCNYn/qKHsueV7HYMbX452+14k2397YB9l/UWQe9PbRdnMDbZhPvq2i9UjyvI7BjF/c8U4/17frGVgXrvlcS6mTY7Y1xnnY177OThiHWd9X2Brv9K2xKKPLZ1pX05Q9lzyvY3BonOuf6zWfw5Bv0v1sBXXN19xrC7nWOl1ZjVV7D7keu+4awM2Su5p3cu5n0s/tzkV6kz6b9HMiFyyLGejjxgQWtwse6k1ax+GYvmmPbzmsnTJ47ejrHppgP1wEWWofc5D8kMi1KLO+7qyWY2t9A32sGQ9Bv1tfwNghzsq++qjn6evQ+oZZ49e2HLUe1Nhaeg0YrzU9ppZwPfXlwAZyvSq7DshT6vU2X3wp2/pDn3TzrDpbY9pLzvk0dsB51v9mybZAvrIlOxfmq+2dAL/dhT9mNL/d5Q7GRc9N4MJGFha3/dzMLPKkjnOjH9NHTFohD28g9Mlh9J66FtYOlBnDXhta+rTBL/20HPZdlDZzsw7AWvFDwrkks77uHD3GYbW+cxx/HPjBFqr/1AHkrfYs7KEbT3/WAw6tb5g1fq0e1HqANfEcXfXlmFp2fUC/eUDtJ3dtiGtfzWP1Jj31qtxBXHIwxgrGzDnR3rGc85a/tFNmHtizlum7WTLtquYrWdL2TmC+k34bcN7fSRduEtjS5ab1YYSeNpJ9h8blmdB3aEyor98NhLRJPfp5QOXDyHHH8ru0t6Jv9aDMeQB2gC02dZ4JY/alLNN3c/sO6SMndX3nuXJ+OEP13+Ha2ZK3OGTvnDg/zfquc0p/cqh+W+Nyu/chS+plv2RNV+OHPqMg9bbocqt9nONv6zvpXd7ZB7n21DFmXZfdPZM6kHmqe4ydpP3NxJoqA+crOaGf+dwp30l/wxvesPukT/qk/Ua98tmf+3m7f/QP/t7J2fkzb9LPCRasC5q2/rSsjB4/lSapA/yUip5wg3Boi27+ZOu45/BM64OsS45TNx6Y4lsA6131Ex+qOY4dMmN8AOnLvur/PPuAuK6NXCPoc2RdtMlxbfRDrZA5QNlzmL6b0werdd3pQl0vuVbquhF9eeSa4ADtoJNv1N55ssHxvoL0Z+v6hZwTpL/TrPHUuRP78hlInwdQo1VNs47KjKdffRk79eyrbeon+ko8zw1/zke6vFfrI2MoV71D9jVPdFm/h+yyBgl2N6OFjJ1zWcmCD/pybrc7/LaXt7/97fsfGupxMzfoMJv0cyIXLAuYN0FSb1RuXmCx8yCB1KGfc/zkzUUfDykeAvoAxvTFja9PHmLPpL6srVi32u/DRz9ZQ9rU4RD0ecBCjmcekuNyln0ps978ULB1LOeffeI4865rS27kukzfjfXl9RP1unULuTagyvrv7GlrTG1Y+ylnn1yPPaQNOh7Qre+k+ofU0Y7cujXe5Xyn9nVrB9BJVnWU6tdzf8DCPnVss/7VfmtNAtdYtAPHocu7rg/k9A+pU9dStefIOla27NB33sg5Z/SEfvPUjnHiXq8e44eeHatxZUBO38PZMV93WXCj/+nlh37irVc/SIQFbV/KwkIXbp6Ozq4jfYk3rO2d3MdD6lCNAF0eLjwksbWvoo5yXoPMIbFfff5TZ73+Z9UHziX7TsOxa0uIt3UNpu/s+7bWtTZJXbeH5Mox68n8JPO4XvucJ+fH+OkwF/2fdo0/U8hr1q2xeg1uRh0zp6SulU/7xJftv+7ykpe8+Jp8yHH1zJZcH8roYpdxIHWl9lUfK3l1H2u/IvOUG+mDVX/WoRvvePmLPuBEOj0X6esuF4l5k35OdG+37Us54WbwgPqTOS03jXZbPwGnr/SZ7Z3cZ42yLp0MPkAFex6iPKT0zwNe8hqAOhX9qG9L7LPuy7nQ17G1XvTLW69OJ2Vxzjn/6TvfPq/t6nrkugWuqWzJ6NfDsdV6EnWTG7Hn/DTrGr2uHoCv9M99fMwafybISa6brj7gNaAPeVVHqZ9f0H2m2XLkmNeuPotBHcYk1wfj5Cir9ZM+bdNO8Od4kvbQ+agyOuTS1Ycx51tbfafOaftO4zPzzrFOBtvhbJlN+jnR3XySsqCrjbL/mRA454ZIW2707mFQ/fAwEPru5LajqxEoU9N6TaytfjnnIVSvAaBTa5526md7ln3A5iPHJPPZWi/Oi6PTgdR3rjDtzWkr9XpArluvZ67blQzY4MvnhfaJOrRVFvzi43rtk25dVzvn0a1P5Hz+eT926xqeSbJ1grpurDuo7zltHYPqN583qz6uG61UfcjcxPh8RkpeZ3Bd2Cb4MoZyrln9O6Y9vtKmk42Hj04W5sXLOjA+2O+8u/lfb9+xPmsdHFvJzMu5DGfLtat6ODNYsCzc1Y1cZXDhc2P45tabhDFuiArjxOEBkLqiXcZB9mEDd1I/sv1Q66NsC50doG9NGeOabr1lkpQT/Z91S455jWmVIfOp9QDXiFSdTl+Iw5i5GHP6z74f2X6uRXc9IMfQ9/quZDYHxrEPMqYyZDzlVbzT2JsHuvYde78Rzxy6sQq6qzX+TJAh6wT0O2bN7OPorg/Hyi966vh5Zh94bdRXF7ZyA3MgttTrrH83vLC1hrbWGvb0VRsgL+cHqW/slDu0qeSckfEjtSZwTJ9y1QN167WGzgcgW7vh7JnvpC84i++k5w19DLnwT4s3kz64YXhweOPnzfZMgA8N6m89mH+tb1cT7aqcfjoYrzUH9Fc+z0PuqPMG59GNSepU/ZzrqibD+VCv/WrN1f4tuvWwuq7odGu9cj322mT+nZ9DORyTH+S8n2lyQn9dV6s1pm7tA/1S/+qLsWOvS9LFE8ZW30kHxnOu5gm1BsDmFB8rPfOv/x4IrmduK8yb1rkT0zrav7peK7nLueo6X2twyIegP99JP3vmTfo54aJmweex9ZaDG8YbI8mfajk6Pf0DY8TPG+lQ7NtVri1jYP3FfqFG9OUBaYesX1E343HUmnudoPqUs5RrXpm3udCK+tC9NYHUSbnONWsx8tnJtWUM6rVfrbnug3TrWhMnx+iruXHk9TcmbcrH2lcYhxw/rQ9gI9G9GTU30d8zSc7rbF2AegI61E+6Ote+jAHVnjFira5Zty7tg2qnHnMRx52TOimbJ0cXUx/q1FqZR30rzljtS/8cp5EBGYjJWsa/+dgvx8qZH9TrlDB/WPmouXN/DmfPvElfcB6/3UW8CbkJOpnF7o2RcqXqreJViOMNeLvL4DkPxVW9s1bVttaOB0+eowNpB6t+cAwY16dvYLrf1nKjciVz4OGujnOmHuaubl1Tp1lf+Eh/I9+YDJ7TgmPddVcH0kdFvdW1Bs8zLzCXXA8ZV7bsK/o7tNa2fED6qXGTGmsVV393St+hutS6bj1bKjUGthnvGMwp/di38sN49ya9m59+qwy1PknmgHw9c7oe8pmdZD6rz4KVnHiNmHsdJ0b2dz66uc2b9LNn3qSfEyx+FjQLmQWeC5qbyxu9ypAPD2X1Ur/qHfPmCLSH210Gz6l39/YCso6wekuDTZ4DNjUm8BDlQZaxaEEb7XzA6TvfumS8G5ET8sgc0DFHwC4xz+yvcvpwnok+YOQr3IgMnmc/te+uOzoc9e1fvV76qtdXe8+T9AsZ3zHuhS17jkP3J6TvZHW/VT/mAIdy6+JWf3dKX1Lr4rXFBmj147njnQzGoK/Gg9WbZcnrg4w++UHVtyVvMVfBhwdkTsbw4PkMq7w4aj6p29kBdrXOx8r5Pe+sHTocyMzDa31ITuyHHKffmId8ZK62w9kzm/RzggXL4gZvhnpDc+OJfSx2Fr8L3xsydbCzPw8wFqziKsPt3lZ4kGQNePjWGkHqZX/VA2J1NayxVvXmevmAq76hxpfTysST7E9yzuqYZ7f2UpbVPJVh2rNtgWuR936CntfgmHXZXWPRf42xumfAMXyv7GGVG7rdWktWtpB+Kl1u3fzTNv1hB/ksuR37OJKsS9Y2nwWJ49DJGceauuZgdf1yXWoPW9dbHTaykp+njuMz51OvdeZmX5cXMrEYM0/o8lvZQc7pGJnrB9mHz/ocOEYW8so61HHjbPkQ8vKFk3bD2TKb9HMiF7oLPBcxMgvbG7n2KQM3ZNUB+9EHY3HzcROu4gJj2KMn+PLByrg380XUA/SQaRN8oIettep00eMgjmOppwy1hthBxtKfD1bI65WYx1m33Twkc00dME/6OlmcIzAmyo4Bvk97XUev10Mnr4t9ypDXA7/Y4g+Zo1uX2PshS/zqlzbRV+qKMY/xUXNDx5xgZZt2yrawFZMDMlbKoq76gP/Ugdupr7tekPO0rfUA9br6O5aw1nJzKtUO0LG/5lj1tVGHMTFnxjjwBfVa+4ZaH+pBxsjczTHHlbv5SNrJsTJHXgfH8bl1XVf3sTKkj8S4xjrmmQDoUYPh7JnvpC84r++ks8izPxe8N0aHelXHfm6Qzq/6Na6kXuYC9m2NJbeqD5i/D8eUodps6a7Ax6qGoH/0YKveNT56+S/3tT2mr/rJN0viWLfm+IDp5tNh7umrmyd65JdxwL6tsWT6ru1DhqojjifVdrUuJX3n2qDfdVvzWPXD1vqquSXpo/NfbVJftOvkVQ3wU8fTN3GNb//t0Aeen7Yu2KnXxUp55aOSdon9GQ+29A99J30Vo6PmX+8XbLs51vyOsbPvmHW5hbH1RQ72rehqsorf+cpYgt58J/3smTfp5wQLuFvstZ9F7k/ijHNwg9cbA716Y4F9nV/HuriSesoc5EQeSY7LrejLc/uYnyDX8WN1Pbwmnm/VENQDdHk7mW9sOKxnjY9P+zLOMX3iuHlkPo5Jzo1+c6OV7g0KpC9zSN/5RiXzuMjrCS5y32q8rtG8ZuIY0J//FqJjtTYg1xvot/Yfs74gc6u559gqrmCj/squyjUv5W7c+QB9ub4BHeRc+xdFT11Q3qrLoWcWfemXNu9tayf6oE3SLse6HCFjgjb4kIyr/iqG1zRlyPyx8dz1CXWOYDxIO+RqV/ukjtOu5MS46Ws1R+XqE4xfqfZgLHOhtYbD2TKb9HOCBZsLmBuBhe4iT7gx8gbjp1n1tKVdyUA8HiSJOjVu56faZk76SL1b1Qc1Z+bGQQ3Q36qd4ytdfTp/+sEY0vlWTr28rsrGtoUup0N9nR8wH+aCvrZS5wZ5remva1I5fR3rGy7qerrofZDXM6m1rjWmP23rtQLHqw/PQZ95vbUj37oOtnzUvNSpuTtXfde4+oA65lw58v7p7iVjQs5T6CO3fCbTZ3x9IOccAJvkVugxnvVa1SOP9KWc+nl9wPiMoUOcRB+ZB3J+HWaVo2ijjmP5Xw7r/QFZm8ybfn5gxVfqZExkz1c6NS/kmnvaoQPZ183XcejkVcz0Yc7odLIop61+aSHtjUPeYF/6HM6O+brLghv9Ty8/9uZ37R8Ifj0B8iaoqMuDA1j43ASnWfj6r7ar/mSVG3nxIGTcm5EWbkVfNy+o+lvzTN1jrlHVWfnmQZnXUPLaZj2TzEkO9SHXsVV9jkHfgG3Ne1UD5WPi5fzNv5vT9F1pr+d66iupttU3rPxvXfua51aOXV6QNupUv7DKt+Znf/WlXMl1fixbNpkPOa/8npce47V2ifXoaiF1frWWK9vVmPZJ6hEvN9yO5dyl2n3yx750/3WXD3/RR5z0Pp3Mv6PGsXY1VqdT6WJoyw9Qq7pWtEE35VUt6e/y7uh8r+a18oVdXjPsPuZlH3xydnrm6y49T//RczgT+CmUBexirwudG2r1k6qkLTeAPy2v5GQVd+VTurwcz/ZW9AEPuRwDcnUusjXPtM+3Cukz2XrzkL67awj0+1DOeib01f7ah988r/qwmkte107mgWs8bXPeqxqA8pZ/Wsj5Zzt9T++D1XrfqrXrcfVsQA9yrajT+cvnGKRd9VVtWVdinMyrxq35ruKmTq7N7E+9apNo71y63CvVJmGM+525uKnSZ8rU1eurrxvVy5yQAbvuGVhJnzk/jtTvbMWx9MWR8ZUT4nXr1TyA/vQPzFnq9TKHfLat+G//66/d/fd//k/vvvd7/vH+3HonmQts1bfimqjXqOZlzrR5DVLWpotpTll7a5CYT/oW5cyt+kFmLplD+hjOjvVTaLghWLAuchZxvWnUSfKmUObABl1uppWcaJdxs7/6BM5XeYl+blVL3jwYVrV0Llvz7KBOPGzSJ22CL/W2fDt2Gnjw1TlVWTiv19XW2Mestyqv6pNz0bc1SBm2/HfU/Ke9tqWuW+tdqsy1RDfl9FGvn/0r3+jWwzV2aA3UdUWc7K9xUz9jGYMj7xdxLDnNfWWczKWr/com+8W5mFetDf2pcxZ63QFsOlfzUQb9gHV3jvQfW1N0iSn4dQ4pC3ZsGms/4KvWOXMUbc0FjJX5pQzM6b967Vfv/ts/85rdN/z1r9v7zlol5pLrEZ2cU/WfaMPR1RLwBfSpCykzVuuY4/qAqpek7zovMEdIP15b+8gH2+HsmU36OcGCZYEDi7jeNJA3gzcprbL2qbeSJf1k3OqbG7LaHsoLtKUV50qLHrbnoUcfctbSNx4cYs7q5xg4Tgur66OO+jy4GdPukO8qr8b1K6tcqFO+jcl+fcLWeqOm6Fc56XKsvjlP2Vqs/Buj+sv8BbubsZ4uuh59yNdzLWmVofogTl0neS9Vf+ibE2Bb3wyubEH72g85J1E/80SGzFsd9c0P6vw6WXtIfXOxJnDIJvsr+ODoagPm79j16jmedQDyRKerAaQs2Lhxdjxl6GTrYExz/P+39y7Atq1VfefCRy4U2rwkYgt6EaIo8hBbEYw2YCCIhrQICEZtDXYJ0hqDL6BbA7EKsMpHKh3whdIJbXio2NomShQk2gaqbZSoJHa1vBQt30B8otj2/a27f4f/HXd8c6197j6wuGf8qmbNMb9vvOf3zT33OnvvI1mT+SqvqHHVZf2JNWedGWuVa/q41TUfcKN9Zz3min5+A4JuxoGV7db67Pbfyr7GdJ4zaF97D6mbfsnHT9clc8x43tscy1qGi+OGO3m4MFiwLGRxw7ColXOTQC7yai9sprrBVn4YcyPlQ6Xzfd68MsaVHCOvHIPsJQ/MVQ/Qd6ybT7J+ZEgdc/FIf1u+U96aT98cXS7Wrw4w7otSUn1wkKN+lLf6J51v46fc+TfnLd/oOJZ2V+NY3ifuDf8E/7fu8kG7Bz3g45b3kmfCs5751N21d7r17lPu/RG733rrr+99C/quhbqucg5fUH3nfVNHzEd/aev1IXvjo1v1gbGMAcrqwCH/VYa0B8ad46y/HO9sgHH8k3/Wwhk41xy7/l6O3qH7JKteKJt/xRphZasO8YUcfdE3R8Y4Ml/Q3jnOCfPqeCa21JrR0Ye2Xa7p48/e+a5LflJHkBnPWFkXGAuqbZejOTmHH3Trc1377I+y86KuvYdDukJO6ErWU8l1Rw3DxTMv6VcIFmwudDcMY8h1kwAbATs2bW4KN9eWLXR+0i7HO7byyqOOyUWPAfnXfpgndTG+ylm2akqqX456P7wXjq18p522h+b1zYOvyyXnwfE8kvQBqZM256nBHDiv8qmypO886phcbWOQa4vjV//TL+/Hf/O6F2++0e56/exv+obdi174vXv5Ez/5U/d/L1o9YS3kp6KuCXCuWyfqg2NS7z+krazsJWNA6rsGaxwwVt2jlaw5Ze216+oR51b7wfFVLamTdP1N/3JIr5sH8+MMqdfJntFPW+0l9VI2J3PIXDIeKKe+cZzL+F0uvMhKXYfA2kh7X3z1gV768JN0MbetNZZ1ZY5pg7wC+27/eXSxt/roob8kdVc1UQNgv+q/ctaeOQ0Xx42fRsOFsFqwbgjObBA2CjIHix47Fj64GSD9VdstP2lX/Xd0/oAHlxtTHEPfPC96bJVv5rbKGbyu88bKesB5yH4hdzl1vrs+O9fNmwtU3xyr+eSYeqTqMn+oBq4zBzk2H/1yQJevY3n/r7ax7CfzvDQI49lreveKl//Y7rue+2376w+/80fsvv25L7iRXoKN96CyNW6O2HOs8lVHtGVtpW3qQOohc6Cjf8/VPnW8XvnnUN6qh5e21VyNAzkO1pHnqpOs8uGcWEPXZzBe+gBiJ/YBDsna5pww5njKsMoRHfPUpuo6B5l7lwu+JPtrD1b2HPY8feQn6eajn9X9g1W+2GQeyF1fAB91XtuMnfnbK2tJv3VMO47OLzguWzJ+wPjkMlw885J+hcgFy8J3s6TMBmGxI4MbKHFj1Lm0rX5A3bSrPiDzUeaLVP54DBgDav5dLhcxxsY/Jl8e8ukn9ZiDOu81dP6gxs6fGUyq76rT+c35zKX6htW8fjlv1VPlqtv1r+YImQPru96fQzGSLl/HMperaaz2k3FeGqT28D+9/j/u/vGTv2QvX3PNLXc/9GP/fu+nQix7DMj5BTznV7I5inLN13HszLfauo8q6hFP1Ev9jNE9I3K+1qHsJ6qirK+tOVmNU4f/auG56mROUHuk3NWQuls+8nll/PSjnOuKa2Du0B7v7GWVIzjnWJc3mHfmkXVAfgqeeVS7rhbjrj5JR9d+pB1YO2flVSzOHlD7kr4g90faQepmH7t+d2Pa114Ac6uedXJS7+Fwcdx4dw0XAg9nFjIbAnIBp8yid7PwcHAzgXMcdQ7SNvXYRJJ2btCUoeaGHzZdxRg+RIFrzyl7viljmcNWvuphU3uePjIOKFd/+UkaIGc+2UfRd9dvMJfOFjr7hLq4r51fYAx7qPXISjf753jNwzkOxtLumHzyPoj+3lPr6dTHao+4B/lJ+rv+8t33g37/oyf+g907z/r+/Be+bHeHO9xxLwN63X0B5NVLKlQ5c3QdIjueOIZd1pN2jJub9Yh+qT2fY+o5DzUG1HnpauoOUM6cfa7UPOp4Use45ujuCdSYsKqhm4e0z+fYKi6yPURna27L3nnOssoRmHMekM3dvMGcuvsM2EjqpB2y3yxVjCt8U0x8fq/jGU//qt1j//5n7D753nfZPflLH7///RDyOtSHzJfr7EvWXe2BOW23vpYAY+lP2eep85D+md9aG8Y/RhZ85H4dLo55Sb9CsOjzCyGbg0XMA8HNBG4Qzix89Rljk0qdy83V6TGX19LJNbck81Omrsz/Spw7jsk36z2mlrwfHlD7VPNyvutNtQX86mNly7m7z1Dvo5+2cNgL9K0n+9PJqdtR88g1hk21yzq3YmStyu+J9XTq5w7uQX6S/gEfeMtLfXryl37+7s1vfvNefta3PG/3aZ/+3+5l5z3nfemOQ+sEOXFdZP71fh5jB7m+0p5z6jMGyqxF/NcYaQ/W0NUl6bOSOShD6tdxdPUJ5gLGVr+rIWM6n/mnvtc5Vu19TkDGTZ+J47VPcMje+exDp8d47RXn7KUvmthV2zzz7JDVMyrtJeOmj//qNrfZ/esXPn/34Afcc/97Hv/59b+0e9vb3rb7qZf/2P7PNLLvQP+1PseT7Is5dvbVLvsBXf/Tp2DHvOhb/8wjr3zLMbJ9hPQ3XBw3fjINF0Iueg4WM2NskIS51Xe+nS7kZljpqQvIbGg2bpU5utxWmw9Z3+jgh4dEPhSw8wGi/0N6oB5n43MGc13lm6Cj3/QFtZbOh/bkkr0S84CuN/Uwl+qr2ko3D/rCh3nbC77Q5KdFjG3J6GJTe8RZMg/tgfuYuuh5rPLRPzAvyMYRe8VZn9R8EevslPS4Vq8DvfwknZ5i823XvSz8zKt+cj/2+C98wu4xn/dFN3jR0C8xPQB/xHKes/d2JXfgz7qg3s8tO3NJudqLOj4fQf/kaC3Kzou63b6oNtWnZJ6Zr/4gx0XZOXxql2M1HjDf2Unex85H2mvnGEf1qQ9wvH7yvGUPOd/dL6hxJGV9YKM+Z2Xm1APWoWSczjZlMG76eNlLv3/3T57+VfsfH2NvPe/5L9p99VOfubv22mv38+y7x33OQ/cyvvCx9Ry1HshegPa1P9oCtuTH80JfaVd9gvPGrfteqm/3NHoc1aZbd0As/QwXzy3+ev4f1pab+l/U/sobfn//sKobSFjkLOrcTCz6lY36zq900y9kDOagyh3OAzo1HvP6SX9yU8YqtZ5DdePTsQpzXe86e0k/q1y27p2kH2McY9eBr5rneen6A6saE21X85Vae7ee0lfV59pzcnMZE3uPDjzlyV+y+zc/+oN7+c2//Se7H/6hl176OfRPf9BDd//qxf/7Xs7+09u8f+nPuMfeN8BGP6DMF2btV+u4s+30VvbW0tl1PbROQaeOAeOZf/V1TM4dqzo6MuZ546VtraP6OuQ3fbk2s2f6XOWUMbXr+lDjHOoV+taWtmAcxh94v7vtXvqjr9z/VSN9Vf2O9MGfOZU73vFDdy/5kVfs7nKXa/fxeQlH9797+KfuP1mHH/mJn9t93D3vcwMflWN6n6SP2k/nuEZ2PGF8FUf76heq70radPP6Yu7ud771Xr4cbuo7182V+ST9CpGfRGx9ByqMc+0DaaXvPHL3Hbx6kjKbyQ3FmQdQtefsvAdjNTdtk7SRY8bwxYOgnp23Bq55AB1TN6CfvjiyFtiyT2oukH6U9ce5Yg76ylw6u9UnIICPbv6YMc/mUntEjyVrTNCD1XyNqW8OxrRTD9KXuuTmvKQveV8by54rAz0QepOfpL/xjW/aPfUpT9rL/CWX5z7/X+/3Qvbf3krKYPzsdZL3jSPvjSDjR3tjHvs8qnG17/JxLdZPdiF7h8zRrTvwOsfxZ57pB2rOXW2dfKwumDPUeNnbtJHMN+sAfTF37F7OXDjjr/rMON28ML66Xxln9SznDOjpI221B/ogGU+97NNqraQPPkF/4Uv/7f4FHcgPyOnp/+Q5exle/P3ftz9nrtV/1/usMWXQDrKf4Bw5E0PSD2zdY6h+IeNyzjogbeq8OuSQeQ0Xx7ykXyFy87FpcqEr5yJPGVb6nj1WemwYNpN64GY+lFd9iOgHjMnDK/XR4cxD5Jgx/QN5+FDHp2fmzd/4zJmDKKeepC/odDp7ayd3xswdOXsrKesv69SXMKYfqXbmnmNJN3/MWN4DqD3iuqsR0Elb9LIu6fLQNv2mHmPq6HOVe7emTn3MHkDWVXuQvcmfSf/Cxz7i0i+Kfu8Lf3hvY8+AM/dDVvcwY1QyF8i8DvnjOI+t93o1zpl8cq5ivvYg88+eE18dxwX99EO8eqgnnawe50O65OAaMcaqv2lj3rVuUE9/gN7KL7aZBzgm6dNYjkEXs8aBLha5odv5y1pBe8457ks0pG/JPtWeeZ0+HvXYf7C7x8fe4+zq+j0k973fJ51Ju90vve61l3pqXZ3/2vtD9XKs7hfUGOroJ23QOeS36iDTD7/BQNdDag6cmc+6hovjxqt6uBDqgmURs0HYKHXRs8HdKOB8p9/pVj3miM9mAm3gmLwOffqinrbqeM74dSxf7rGvOKb/Wq+Ys2dAp9PVF6x6XefB3LfkGjN9WSdoo36OQWeHbjeWaOc906YbA2PqT7QB9PmmiXtlbRyZt+jPec5S8wD1E3S4j11fwHnHM+b7wthqzVc5r7Hl4BfZ5HFf8IQzabf/H0Yl7YwD5gH4qveyyoI/95V5MZ/+5HKeR8aErXFgzPEqi3HE67ruJOXOFlbPiayt1omNz6ItXci6gTh1DPQNmTfknDJxMm/O9VPt7hmHXo5B9bmqhyP7pa+UoasPqj8wh1Vegp10vsEcqwzI6eP3fvd39vuVXMCYwHq6573uu5d/661v2euRX9aV/pk75l+AIOOkv46MAemv67mk3y0d/GX8uhfAmPpgzp4NF8u8pF8hugXLwmcT5GIHx4FFz6aATr/qMlf16iZOmzoH1Z5r8mcTVl10csOiq06eV2N5QPrTp2P0IXOvcfPTd6m6+kq71LHXkvPmCCsZOn/W2PWRh73zYp7qalfHpKurrrk6ljFT1lfmLl1vme/qyj7gU798MUubjlXfhXnH8/y+MJYH5L2rvRd1eWmQr/iqr9nd737328v8Att3Pvdbb2BnjO7eQHcvod438H54re9K3jftj7HVZms87RyHGo+jk10z2Y+uN9owXmsAxuxz1lbr3LpOOeuSbgxd84G6f3JeOb8h5Dr1xVyAmPrPscwFfb9p7+pRR3vo5PRpvtWea/WsN+2d046cpO6hjKGcOo6ljzv+zQ+9UUzyAPS05y++oJc5VVbjUOs1jj6Tro6Uycl7JDX/zu8xOpD31tiwdc+Hi+OGq3q4MFiwLHgXtDDGZsjFDm4O7Fj8wnjdOKmLzCb1QeLG7eKquzUPzPlQVle/sLUZ9VvPkLGrP2LbF8fsg3l1cfFj7h6QutUudbLXkn6gy5sz1JjpD506hu5WX9HVDj2/EWEMufZItME/ch3r7rtjYOzE2ojJ+vJav7UuDjAvrv2GpLOppI8tsr5TPsPWmpfsizr64KVBWA//8qUv393udrfbX/Mn4V79H35uL6vPueuzvc17mTJkTqBOzd9You/85Br0W9ee+un72PFVvisZH/YD2f0E3fpP24yT/TSfKsPWtXK3Jqqsfv3XAOvIvCF1jVfzTtCxz9nX2vuEeY+8luqnylkjZK9B3Zwn/xzP3gDjYq2rGPqr8+nDT9LBGPYVvQ+85vpfjOSXS9HLmo6VBf/GAOJsfW2QribRpwc+qg4co5OgBxkb6An31vNw8cxL+hXChxLUTcdGdLHnnIs90Sbteci7wYDNlZuHze5c2kPqVr/K2kL6Vc7Y1bbWDepk3ZD+wNzc8PoBY9a4KdMXUM9+dnaOi+Ocq7/aX+XU7+5dxk0Y2+qDdmmrnLmkTsrZO2Tq6O579bVCPX1mLGBcn5C9wBaqDaTdeWRts85THEfOHkP2G/26DiH185N0dHnJ/Off9f1nI7vdV37ZF+5jZeyUAbnmU2XvT81llb/+qm/suQbn6vOu21f6gDpe9dEz1+xhyhxQ5STjdPpQryFrPiSbe5JxoZP1gy7xrU0yb/NTF3JcMj9A3w9j8Ge8mkPaKa/qwp9+Uu5q7HJUl1pzHVcfjpO7mBM+M0auC0lf6cNviq/Len8GYmPL+a2/8Zb92Efd/aNv4BN//H11/krMve5+x/2Zg7+vrp4xV700Tua2qqOrCapP5m+KTuZpvNQlZ7/xzbyHi+PGO224ELqNBsgudI7ukxJwY0C1VydhA7Fx8cn8yh7cZNWvPgS99KucGxeqH+lk/NQj4dqNT7z6oOCs3qp3gF6O1XxX41L9ES97sYqfea5k6PwJD8/UhRxL/U531Rdtsk7GtvosWzEZv5xeqCs3V9ke572mB+jkGgP1pH6Sjh3/cdGX/A9fsR/7vd/7nf1/sFJjE+P9d3+x1/+Bl/yrSy8OH3OXD96fGQPj5X3hnNT8YVUrtl6j67pIu7qvIH3Alr5zxnKtVd1cpxyr2vQnKztlyHy35Hp/hZjZ063+Ejd9mTM2XU3Q1QDpV/RnbM+1FslcOrQHZevzDOZV88cG/8SpvrxOv1JzQgffNV/9ZE7ym7/x6/vzX+3+xv6c/NF/ecfuN996/fyH3PFDL/nEnv30gu/+Z7tf/rXf2/2/v/HH+z+X+sQnPnH/51Kf/U3fcKn/xN36ugWZm7lmHV1N9hJyznHOl6MjGVtd0c77Olws85J+hcgHEmc2Wn0gAAs/dRI3SdpWHcEP+rl50l47N1nNCbnzwdjqExEeNvrWTz3XGGIefDFZUeMp+5BgPv0n5pVkP5Ic73KV2h+uqz7nLmdQtu7qT7LurLXaw0p3VQfXHpI+oPrjUIZVTHzmveC68wvKaXOMXM/ntX9Py2LP7CFzOS/1XvyXd7zjTLr+ZQAbXtaf8vXfuPvYe957P+7Pp9eYvGjw6d4LX/Cd+5cHXhx4geA/aXn613z57l9827MufYoqyvXeo5cv3BxZp3GVvXZdQI4njjtnzFoPOGcfyYG9kPZSe+nzCtKPcrenoJPxc57738Wz91zn+sDOA1JOMs+Vb8m89aVu2tkD9S6nLuWEXLtPXFf3BLpx5zxTp5g7aMt5la+5pA/20rc85xtv4Eu+53nfdibtdp/1yM+9wXr5/C/473eves3rL+0RfD75a75p/6Np/+fPvHI/Ru8A/a6XiblZZ9ZRa5K8x0n2+7w6XZ7O572C9DFcHPOfGS24qX9Y/9fe+ic32ggs6GPGKrlRgWs2D5tiy5aHyB/98Z9e2jzaAHbV77Hol4cupJ9aT72uOUHmdaguY4HxUj7kK+PXGOnrGGptSfYo5S7GKid1hbmtHPGTX3Cg60fKXR6ZZ2WV31Zuq15A2hwrp/+8PjV5Rd5v6O4FoPc1X/GE3Q/+wIv317xgo0MM+IM/+L3dgx94z92f/emf7q9f9LJ/t/v4e3/Cpd4CPuqa4IvuJ93ro3a3vvWtdv/HT/38je6L/pOamzrmc2htwaG663y1l1rTSg+yLqi5Jqt8a3+g1t/JcJ54HbUnXW+NWUmdlZ9K55ex89QF6SfBrs51vtCpOUO1RYe1zH9m9F/f+SPORq/nUM344l+bPuADb7m79k43/E94+JeqL/qHT9zd+c4fub/mm13+J1Lgm+Mff8Wr92twq0540pc+bvezr/qp3U+86rWX8qs9yPpX/uCYtZA63Xiu5S0dsIYuJ+d4lmDDNyecP/5uH7IfvxzmPzPqufG3i8OFwAZi0Se52FnkfCeqnDjHmQNffhcubtTUqzIPEfVA2Tw41w3Y+aly/S4f0mdSr7UF5/LTlMzXmNlH9DzyWrp6zRsyfq2t+2TDudRTrrpJ9ijlmi+scvK+o+966uwFP8576Be6PhsPujwzB22Zz345nnKy6gWs7LfkJK9PTRb7Zc15v6HeC/XZv/l30uk343KHO9xx963//HvPrq7/+XTQBxALruv8pdz4YsqLxu/87u/ur/F56N4n6NRn0rH1bOllX7qYqZf5JakHWZdkjFWNkLbVD/rarGTZime++YxzLOOKsvMc6XNVz8rPlg3XjqUsKx/qZR3K6HSkL+0zZ2PoS/Kbtfr1dqtmY/CvTemDH1GBF3zP/7J78APuuXvkwx+4++R73+XSCzr/2dE3ftO37G300WG+r/2/fm5394++x/5l37w7O3Or/Ur50P6BrLkb5/oYHcg+AeOpzxw2vNSnz+FimZf0KwQLloULubiVwUXtRujmIH1Bbp6qJ8jq5cFDsuayygs6n5C+0ieszmIuytbmuP6AmMybX/rioZxjac8DEhmyBqjjXPMCy0NQf8aD2gPJnFIW80m55izO+8+lYO0pH4pZx/BpP2qfIeuBnMNH5qBvyPGsqcaX9JsyHLKvPTvlM0etBbo+b61TZObzfxzNL9LaPOKzH7n/8RXw59Nrf5HzZ2zxwX9vfu1d776/5ossuaYN1+h5j6HWU9fToXpAXQ9IPcbwc6iHNb+VHmQsZY7qo6PaZm6ytX6158h42oBj2jomxrW3HN1zAntfmDo6P5lT5XLqAnUh68g8O19db2sMxwQb6WrQb9Zcnyfp41Mf8sj9f/l/7bXX/4+j7BP+3CLwF11e+iOv2P03n/TA/bXoJ88c//n1v7y3/duf/pBLOTjX1Q+1X5K15wGpB1vjzh3S6e49ZB6iDvUNF8+8pF8h3JCSmyEXuotd3ZzDB5u7bojc4OqkrrJow8bjQdblAqvYXR6AL74o5MuDm5mY2Jln3fDksiJzJKY+MgZjqZc+HUcHew8wvvU4jg2y/iBzWPWj09+qteacepzNwxjCmGzFhPzEHLIfYLzag8yDo+YAxuv8S82p+q1y/YRolT+gT06chTzpMWd8Yvve0oOuF8w5L3lfnM+D+fpJunOgDv9d+Yef/VM6P1P7Qy954d4nB/kqAzavefXP7F/o/87DPusG+WWNxqqkfqWrh97UvM2L3jnuHOT9hoypXrWBTq/2wLjQ+ej0U67POsZX+Vbb7GnaMIYOdDVA9tbr7C2kvhg77dJPjZNcTl2SddQ8IX15PzLeKoY+zJ/7IfqpdL3LOPjgR8U4+F9FP+6e99n/fPm3P/cFu6/4x0/bPetbnnfdy/krdz//y2/c3ee+1/9nRlmLcp6p+V98+7P3n7z/j9f5OKaX2aeVLFt92RrPHjmvTrLKt/MpqT9cHPMz6Qsu4mfSITcAGyR/5strFzeb0Tk2AOSGYL7bCHWToctYtVnlUvPK2DWPQ+ArH5xbZG7KXY68tNW+GePYHPXV9aJy3n6kvvNJF6vTg1WMyiqm9lv9rD1I/cpWDpVDfdjimDjZl+r/FMaQpa6h7H3qSTfPGH8H/T/87E/v/TzxyV+9H897S2zOfLH8X5//vP35sx756N3d7v4xe91Euy/7h4/ZvfInf3z3mte9af8jM/qRLj/JPKFbZ1L7Um0dR6/z4zi1HxN3pVPp4sJKP0lbccz4ec/zWZi5ijbdM85aOjviM75VQ61nK361Sd2sK+uWzq+ov6oBVnkd6h2g1/1Muv05RI2T8KJb5/Cpb/PPnjGG3dO+9it3L3rh9+5f9B9x3X7s0D5J/5Ay1Pvl3E0d7+47qOe6hM6nY/Mz6RfPvKQvuKkL5lfe8Pv7By/fkSZuTDdDblQ2d9WX1KsbqW5kYfwYn9imvAV6qy8Eypz9opPnzMN4le5hkbqO8zJS9ZLMU52uxk4POt0tqj75re6//WFupVfp8lzl6Dgc2wNhvMsp40MnY1v9p6+VvKKLmTadj1Maq73w+tjeAWPsYagvDNqmP18s8JE56fsbn/6PLr08fM7nPvaS7nnQF+TzhfF6jyqrGiVrSbI/SfYPOp3aC+l0oep3titqfcfaZi61luxJ199VHaI/QLf66OxXfT1UV+c/OTSfrO4ZOeT5gfe72/4l/a53vfYGuthn3zq51geOQY5DzkHO69dfMuVT+K/++v/50h5Dt6v9POsLjLnK5bzjcOx7gqzG7n7nG/4C7nmYl/Se/t+HhpsMm7Vb9CzqXNjIbBA2L5uZDcti51BWz4PvWusceJ3j5FB9if6qLBlHH+ADDlLmu21qsXbPjNdeGM/ajZ3+RF11yAU9r4/JE4x1SA8yHnQxOEvV56Hb3U+wL4yl3PlX1i4xZrcezKWzoQ+dPgdj5gRdfPSoTzKGfiB9dfJqvStD+tYe9OE1nNIYZC9AGV1Juerjl2v8cjivDrbI3gt1OdecuOf8LWde0L/syU+5wQv6am2nnOSexb96YMyVLTar9QfY6z/jgLZbz4uqw0Gc7IU4v6Vfbc/zHGA8n32dvminLShnjVt1eNR6wLyh+qg2kDEhfcGxz7fzznMGzpmn8+bgmbwla9Jeqmy96HEgg2fGwLqNZx7dPD1hj/GC/pCHfubuK5/yP13aY5I1AX5y7ND6AuNVzjue97zej6Szr2PY2LvhYpmX9CuEDwDIxd/JbGQfHPnPSj5YVvp1LmPmOKx8bclsXO1Amc1JLPJ1s7phsVH2XOliIFdf6vHgSlIHtvLc0uOhqo56mVvKqxhV11ztwyovzxzYQqcLaadtkrllDupXm5U+dPpdfHzUNQDZhxxfyV2dkDEzjqQPOZUxe5DrQjlr6epKfUgZnE87/qWqUnP6l9/3Pfu/jf53/u5n7572Dd90g5eH1doG5cxD/cwr75fj1dbcV88vc8a/L7c1To6pz5FUu06HOWNv6VdbdcVnCKRPjrQTbWtPcg+mH3CdeE46+62+QZdX2lhzravGYD57kf6NvZqXbp5YkHrAPH6zLtaSZH5AvwA/9VjdR2Mgg7VnzMwz8/nZn/n3+z3GX0767u/73/ZjibGTOlbz6mJdhAx5z+W88ew5NWTew8Vxw1U9XBh+qsxChm7jAbIblU0DXnOA+lzXF0uupYuRutDpwErGzi8Q+mGDokO+uXEruZlThi7GSq/GSVlqnukvSR0e8KuYcqgXtf/eQ+lsEh5ymfOWnHnWuvRLDl1dl6uPnjnkOOf8lJA6mIeuD6BO57urmwPd9Jc+OE5RBnIGalitkZQ7W1Cu82mXz5rMQ/kXfv7V+0/3eHngx1y43/ZWau9ThswJGHdO2Ry2bJHT1mttE/JTL0n7uqZkpcNhHPMyDsdqfSVZH/eh8wnVPnOqPfF+Ajrdmsn9VmOmPWQsoC5yhpqXoO99YO5QDNAm1w02dUyZQ7zOecjemKO6HoKt1PzSD9S1gh9ja6vvWjtkfI68R7/11l/ffekXPmq/x/gLMNetpBv54rySE+y2enJRMlhLlY/1leuRfIeLZ17SrxBsPr4YuqhZ/CxiNl+VK25eHipuHPXqg4hrfdVz9a2fVR4pcwgxqCMfJuianzXWh4/UjQ2rGMIDUB3jdn7yIZd5pr+VDr6NA+pzfWwvuE7djmrD2Zwyz2NkyJz1VddKV5cxtcn60n/Vh8xB2yTnjVupPsgZHM9+GNf8JH3AqcqZNzl3ayRlSNtu/eW8KK/68ta3vmX3+Ec9bHfPe913//KQOukHVvfBHNRnrK4lbXiR9LmXtqv6vc54wpxrrYsHWfcxOqCceam/0u38eQ2dT+Rqz5HzyB3EYN4jY0nGFPS6PhyqS13u3eqZuALf3Hfj1DVQ+2Wsbv9bLwc6oD7n9AHEEf0B9lv3to7pD6xVXfMB9NLWue9+3rft3nndOH+y8V53v+Pub93lg3Yfc5cP3p85+Esv5AL6hZqP/r0PYIy6bi5X5oCsRTm/jhzjK8m6hotjfnF0wUX/dRc2AXCdcsI4GyAfDoeofqsNm87fxK6xt2TzSH/pC3JO+4o62vIArzlJ6oB58LCqtn5RkPSTHKNT0QZ9c6i5CvM5vqVf+wfH5rTqTXcvOqwpWeW31VvHV/FqjV0vDvmQ9LWV66nK5k29q/y72m5Kf3IMnvVPn7b/j1lW8PPpT3nqM8+ubkz1l2sOiIsOLxWrfHMtpf1qn0jadaTdSjd1rIV7BNVmpZt6q1xF3UO5MV/HD/WjcujeJPpc1SVd7FWcY/OU6ueQPfr5Eg7VBp3VX3cB9Os9qdeQuR0aN6/0x0trwjxjnh1LH+e5D6t6zisD16u1kjpwHl+c56+7XDzzkr7gSv11lxUufnETSG4GSLnqVvSNzaGcah7GyU0Jq5h8N76KkbaZ08r/MXLCeO1RzUWdY8aNI4d8Q9pUfWQe2J2NdeW5ou/sAXS6gl7munV/IGMk1c8WmZvUXlQ/+q/9kq257MepyV2tcowOoLfS6Xw4BvnyUF8c8mzO2duUK+h3dLkylj2p1JirXnRrt8a73PXdsdI15jE5J8c8G6H6PiRXyPfY5zAc6hlkfnJsnun7PD1FTnvydF577Lq/7sJ4jXEIc1vlbE6H/KJ/3VP+Oq1r9tcrff06f8x9uAiMC8S+KXH15de1j77zB+2vL4d5Se+ZH3e5QrCZu0XPd9BsChY3hzLwEGDTsOCrDviAgvqwAv14FnVWOYF5Eds8IGPCKj9lY+S4YKvfLf+ps5KP7ZH1Wh/keNryqQbjx/QifSSZZ9VnPP2bOzEY48w1OJ+kb+Wte4EM5spY5p36kjGg9o0Xui5eYl72joMvAtLlAIwLcuaymnP+FGXIWiudTl0b2ZvOT+eDMfvPmAdw/3iByDMcugd55JqTLlfH1E/7Q/tKW2Nwds7rLt7KXswhyZ4n5uqcPqHLOak+Oadenc+8qm+psjb1yFjmbBxQD2pesLI5dN+kyulbP/o3FqQdz2L0fCabJxgf0JEaJ+n2Feck6+p8ZX6dH8/o8z/8amd9FebVwbbGTf8pS7dujxkzLgdjGZfrLfs6rx+/LgwXz7ykXyHyhSsXNpshN3vKvsisdNgM+OXB5OYA/fvwk4wLmRPkvDE9M2YM40jNj7w7PXWMYTw2PVT/dR4Y85xzWzlkjyT1cxzSD6DLFwcePMwRe8s3mB9njtRTFv0D836KkXko196lTC9WdqBsrpxr3qs4XZ+172JU++wd4GfVu/Tf6Ri3ztVc4b09xlm5q7XqdWuj62/6OeQD8MMaYx7QB/z4ApEvElv3wHjWmzmaB3S5Mqa+enmNbhcT3NOgXlLjqVPzyV51cleP86zjzCNjdjlL9Vn16ry9Raf6XslgnrkWAT3G0FvV5ry+kmoDh+7bVp5J1g7K+tQGPalz5uQ3mZA9sMaau9T61F/lnPHRk/QDGdfY6GSMlOt9r2zlXNfQsWPZpy7ulj3UeQ58pM5wcdxwZw8Xhp8EsJAhFzALmjkeZCnnd6NVh4PNgB82DbDZ0j/2q7jY88UG8LPKS5SNgU2SuZGPPo3NuD4yRuYvtY7OX84J/s3D8dqjRH38WY95mmvSzdFD7xM+zBO6OpnnnqzyAeesxTNUn5I14kebTq65ctbOHFa+IfVAv8aAaq+N86s+pB46xq7rrpsDx5g/hTFBPs86Sbp7eV4fkn3NtQCeV/egxssY6IJ5cJ25OqaeZ8m5jCnMdf2rvvUBrotDa1OU8bnSZdy8jMdRc675QfrM2mQ1n75X8rF7AMzZ5z/kvHacQX1AL8m5VW4pr8BH3ieOuucTxmqOgA+p8brcD62NLufMy9rAvKH6yTjKzgnyMWt8lTN66uTX9tUYYJs11p5rm/bA9VbvsLfG4WKZl/QrBAufDehCduELG8U5ZTZBfvrleN1Akj5ybmtcuZsnDnmThxs3feVmrrkB14zXzc3BBsavsZKar+ivmxPms2fGW5H+rIdjS+ZBJtjjXx+Q+dU6t3KpWIs56id9rvqoDTl3sihnjZ3/xD6oj+za5hq7Lre0q/mC8/ZXP5B5o5N+c44x/ADrTh/vybHMpR7OQeqt7iNQn2t6df+2fGCX9ws9qD2FTjfvf8arMOYB1X/uG8B3jhl71QfGutoz34xjfM/Mm1/2qpMzj5xPMh5zdb7LT1+JfjgDOtmX9L2Ss9eM6SvXZwWbVW1buafuKveMmbKknXI+Q6Cun9QlD+dAG3xI18Oax6G10ZF5pS55WbvjnCFtUjamB2RdytYPWzmrh47jaWc+kDElc7Me0ads5YGcdQwXx/zi6IKL+OsuucBZ/N1vjx/LIftu/tiYqQfoutG18xq2fHV0vtjc5+mFPrbsqk7KVb/WQw944KcsqxztGy9UcGydq/FDYHce/aTmuqoxY2SeHeipz9mxJON09wWqTbLym5intcFFjq2ueSHKnoJ9znt7aJ0cQ/UB9pZcur4mxCKu5y26vLbqyjHo6ssx5JpnV0ONY+3WLRknqfWuZNCHNgljmV+dT9KnpO+t+5Nkb6H2JMn+1Bhp19VWOaa3nc4qbpWTVS5bPayQy9Zfd8n6OzJWl3PWxn6nbn0xXmX9reLlfU2deg+l85MxOhm6a1jFTz/HUmPTo/nrLhfPu79tGi4UFiwbQup3rCxqjvrdKzieOjwcVvacO/9bMVNO325SzrlhvXas87Oqo/uU4pheMCbab9Uj6sBK35z0m58aIHP/urwT+2vs9CddfKjjknKlywX9Wlu9D1BzXdW4yp/x1Oewj57T1lzyi5q+IP1KV0t3D5yzTuazNs4XOQbdde0pOAbWcsw6Ya7WnjJ95CUhwa+5ijLj9f76TMq51FHu2KrLsbwfxgR0q+/Mk8NPgKH6rP3jOvNO1AF0rFe9TvYaUk4y38T7wznrRK/rZ/pZ1QDZW8j+ZEzI/qCz6mXNBTpfW3lBp8M58+1kdKpdxld2/pAusC/E9QfaZP0Zo65Vji5n8+Hlmbr1C52sL6ixIO9rztV7uOXHcUg9zvbMvB2rcQAde6Jdh/HVNZeMDdm/4eJ49+oZLhQWLBsicUHnYk49NwCog40P3ZW91Hn8bdnoW1ldwFbYkHWTQvW5qqPrwyovdLX3YWMuW3bCwwYdbJWhi7OCeDyU+QJQ6zYXyZyyT5BzxnesjqcdsnS9TxmOrS3jYn+oxsyVsfTtNfZ+AXM88zIe57wnyuhXG9F/zc+5rNM4zCPTN/wDdsrn0XP91bXEWRmQsRXn3VuizbH7SZCx3bqvmSMHfrNH9VrZe8d83scO8zc3bHJMP6va9G2O2kKdg84Gaq4ZE5TTPqn7FFb7DIztekgdsB+QMWt8/XBgv8pP8p6it4oJ+gV95liNtfJlXlvPBc7dWiFW5nxoTQLjuU+cT13jOw/YATGky0c97aD65QzoZs6gbkWbegbXEnT2K9+ZL3R+zBm9uo45o5fPZMbqvcr4Uv1zVnZe1AVzsG/DxTMv6VcIFiyLXFzwLGY2CfPKiZuBcefqBqv26kGdX8XUBt/KkHly5hqdukmh+kxSJ9G/vdHeM2CDPQ8b/WDDAwGYr7GNg37mjNzpS+aj7Dh6xofMJfU5Q/apy9e42mUuNU7nEzoZH8fWppx6nc9qV30je1Qyr4Ra+IKBz601VY+VnuBPmO/81xfmY/TM13VoHM70hPtLHsjinL5z3rlc16CMbt7H7p5CxhDrcAybtOuuk3oNGUe55pZjsqpN9OX+SGqcjm48Y3IP0VnZ5z23vroO6jysdIjT3auUa81dfurUeF5DxtQ+7Tp51cvOlzJHVyv+AN8dmXPNP+Mk6NX+qattlyuwlyTXU+anTXePXCuSOWsnjOX9sbf2RPQBaQ/66O5J9b/yY345nz5Tt8YQ9bq+6xMyftc/cvCbgLQbLo4bPyWHC8EF68YDxljMjCknLH4ON76btVLteTilvvOHvqNO9AHacnZDmhcb1TxrHuI8R82Nse6Tk5pb+oAaJ2MjEyPzg7SvuWoDjIty9ZG+On1JncyNc41pLtU/NSSMZ22H7sNWbdqKPqrP7h5J3lNjcYb0l+MJ855rXOjWTNWrOsjOcQBn7VjP6Dh+jJ6oa01gT4jP2q1zwny9B6DPPNTVr7Iw1sUQa0BPXc5Se5bn1FeGmnvmls8XoQ7zSLnza6+7OePU+SqD/TPWlq1ok+s8fSBD1g9VhwO/5gxdbDhWJzGG8lY/AZ2tvSv6xV/Ng7M6q354XW1A3ylvPTM447dbD7XXoi3zkr2FLkb2An9cG4szB/Egx8X6wZw54yv1uO56C6tanUtq3V475hk7a1v1OmXgnHaCz9r3lS7o274NF8v84uiCi/gfR7sNt8JFjo2bAhxT5gG82iiwpXMIfRzKE1Y6tQ7HoI4L8zmmj2PryJyU4Zh+AXY8vKruVh7H6mecZKtebRjr+ph1ph/JmF1tK9s63tUoGUNW+Tq+kvmCUGNUW3zW/DKHzkfCF66ut1WuZHyoOSSrOfvIL2zVfmJDjFWfk6y3iw+pI10Pjekvka3AZmsdbEGsjAl5n7pcwdpW88nq/qxQP2VtRR91PNnSOVQXHKvT5WsP00fNY3XP0qc26WdrL9YYaQc1126tV6pepyPEZ772aPU/jkqXS1Jjdv1NH6veMl7vVUfXd6m1pZ+uV6vaOt/Jyi7RR73vHere/c633p8vh/nF0Z75JP0K4cZigXOw8dnELGaOKoM2jLkxcqMjrzZV6qtz7HfUYq5QP3WTlY4+IXOGzK2D+c4HdTjGWWpumRNkPHtR/WjDwVjXN8hxqfr6hqqPf+49D8WUsVnZoQeMJeZb5VU/OGqukLZJjmO39S8v6GVd0OULOV5ldLoYjHPwhQTIxzFBNgd82E/7kGz11jw89Olcog6s+l73BT6In/1crbFq2/mvMRLmVvcF3RwjpnP6TVsObDI/2MoxMVb6TT/GqDGlm1/VJtp4bOkjO55oC1t9Xuk4t6oL6rxy9hS6fO2hfrHN+JzRPc+ntcbP+yPGgVrrVm+rr4yTNnVNpI6HNWpnfMalW1uw6oU+Mkb2oPpgHJuuNscFWft6SNapnPlB9WkOOV9zgfRZZcBuqyeArvqrPa8M+B8unnlJv0KwYNkYwkaqG06U2RDasfA555gbRupmuZyY3caDtD1GB5Rzc2tj/nWczQ+Opw/j1DxqbvowTsZLqp+am6T/HF/pQ6cv+OMFreYOvIRiU+0cc9zYmbd1136kTpdr56vK1QZyHoyrfpev8XMNH7uekflCoo31JtlbqH3owN9WHtlPdSHzg9r37n5U37LSyXFI/8Q1B/qyNec3N+Zvrcxnzc6L8a2xzsOxOdac0m/qZEzH817nfMrmZn7app+tXmzZcYas9Vidug7U27JLGZS7fCs1vrocK5/VFz5yH2WuKdc8D/W2oj2+ujwgdaSOacf9le75YAyOzFu5ux9ec85+gr4S9LJuZdFPzS97mTLk14Wup+rWXJKsJ2X9cmRM5WPue8rmmmPDxXHjVT1cCN2nkCxkNhubrsocwILnwZP2LH7G6uZxTpDPExOqfXKMTue7y9G8eFB144AP/aCzyhXfOYYPxpBr70TfHH5hgZqDHFOLqAvqcq6YM2dtutj2qIstNQ99V51j140oq7tlB/ZUuvuLfSfLyj8yvjubinmYC/quI+yNwRkO+dy6/0nGS1+MGz/zSDLfRNtu7XOdX8Ahc0JmvPaX8bo3srbMLX3nWkyYX+UIXU7adL3UFzBe74v2ytlTa4AubtcLxupalZTBuMfqZLzMFVZ2oK495ch8xXo5i35W8dPn6p56fagn6dPnC9RcuzzBPGBrfakjOaY+eUjWDdU3ttkLyLpAnexB9wxNWT3iM+Yeq+ur5gfmAZlf9rDaopd5Zi6cE3WV0ybHVj1JuepmrtSKPFw885J+heg2DLCgWfjMpSyMuVmEa45u8zDO5mDDVDtZxdRv2uuDeWpwvNMB/VUZ6ssEpE6OJ+jwoOPhuMo1cwPnvU6shTPg/9ieSVeLVF1lY2Z85awNUmcr9lbe6tSjy43x9NXd35Wd85mzsnWBemmTcrLKy7G06eKmrO3Wfak9TD+wdQ+0q/Eq+Mh1DDXXlYwNMaHGxa84fuy6SLzeyi37cEyOqzUl6U8bcBx97IgBmYsyLwT2Vs67R6DmknbqGLOraaVTWdXc1ZY9hdRPuntibhXjo5PXoD0Y51BPIH3UNZB0eWbMLpfU6WTuv3Gwh1vd6t09k+rbdcMYvsy35px2zru+wDlIvTxD9SOrmgAb1jXjgN3KNv2DcvWdcvcs6npyzH03V+XMZbg45iX9ClE3QpILv26ChI2b9uixcdhA2jFHLDYJcH2emCt7cDx1Ov/6AmRz1GfFeXx0/sQ8a648aHg4dDV3MmAnjHc1c06y18TsYkjWbb4Zs8pZV5dj+ss80TmUy3nXTcpSbZTR5ehyVjZGkjlpzxnU52Asc+nsIGPlS02tw7zznDqdT8n6u55DjddhbZAxtmT0ux50ML6VxzG9hy4f9FbzmSNkHilXsKO3tSb9sbedhxo3fWKTedQcVnWL9mkH6kP6O6SzwrWETbUT5KxFuv3ssbX2E/VF2fidb8b0ac7qgXq1H9UX1DqTQzpVzhrpDfzZn/3p/lxJ39plXqu9lTpQbfPZwLHyc+x9z5qg+lzZ1lyg+hZk8/Vaap7MkZNxOYv2CfPYDxfPvKRfIViwLHw3Qt1sKfugqbBJqr1jyJCbTs4Tc8vecXWMufKvT3LMTwOc9zrrgkP+xDzMK+n8gXLadT5qDpC9Rr/7NGVLn8N1UGXQrssRah+d59AGai7Z3zpWfVU5yfjpE5Sxy7r0g03XG6n5qZ/9ga246qFTeyvWkOeq0/kEY5Mb4939r76y7iqv1kInJ+YB1Td7BLutPNIeOl9b+WSMnKuoU+WOWlPd6zmPn624lcz5UN1bPcz4ng/piL45Q70HriWOQ7Vt3X++eUwfSebQyXmPU997UfNZ5aAMnU7Wt6qV6zqfch4JvRFzyHPW2bHV27omE+2M1fmBHAdl8ln1QrZs0yZzce5Qz9VzLGOpL44f6k/mOlwc61U43CRYsCx8N0Eu4Cqj58J3c4sbKT8xAf2yUdJOfTgUE2pc7fUBxmDjsoFX/vUJ+sMOUhfwcR5/Wecq5/SXMscx9tDl6Zz5HKuPf+uoMvG3ckyY08Y5xlb9QyfH9I1ustWTRF81Jgf61gX6BPORzv6YTwKrHXLmytkX8BVdXWAeHF3/nQP9O5Z5cHR1V9n7b74ruWIOK3+H8jDfQ73fyodr9TpW6ynlJGvqfJondlu1pgzpD/usG5iXQ7G1gbo+nD9mHYC65GJM9GsO+jAOmIc+ufZFv/pY5VBl9VfrAB/WRpyaAyg7v9IxVsq1zqwjZeeqLnBPhNiOZ/3H/CsooCvH2mkLnR9gvO49/GzVJ9p5hkO5pO8qH6oHMq/0m3VVn2B+w8UyL+lXCBasG8CF7marsrgJuo3EhkDXDeEcD5LObhVLOVnF9QFIbDclZ+bxVX0nXutb/eQ8/tQVZXOG9Jdyzkm15+hiM54xwDF11XfcvuVcykD8rRwzL6lzaa9/a8j8oPN9TE+qzHrLL+q1rvRZ5yBz9np1z5O0yxjkBPoT8+XMoe86jlzXOVQdzpXUB2ViZU21vqxzJUuNry/PgN0qj/SZPfT62Nyg+oPMb9UPUK59zdhifp0O51UMX1qrv6zb+Vq3GDNf/iTrS51V3atc+MbHGjsdyDjoctSc8QWdj8wh7aoP/LOnu3WAj9V+T31t7N0qFqQMWWeNv9IF58hPuB+OZ/0caZsxu956wCG7KteeSK5B6HSqf3C9rNZYjW8P9K2sP/cIdD7sQ0U/3T3VZ+Y3XBw3fhINFwILloXr5uDMGJstZXETQC72lLUT5ZWd/lcyGJcjH8adXp6h1sF1PmDSNw+PnBPnofqroMcDggeFNugn6S9lQN6y72oBdeqYutYGOS619swrZah5dXrMIeOXWsT+8YWr+0S2+gbGDvVEjFvrti5Bh+PYe06u5KwuxyE7z+aX/rCFzH01jpx9qn5BucsL/ewfB/P6Tbkje5T+laHmgq96f83BM6Q/MUdgvFsnh3JKGTK/2o9Da8vY6RvSd81vFUO9bt2hZw7As65bc2DMmhNkHZmXOXiGzh68rrEdN1eOrWey1HrTnrGsp/rQ/+p5wVHHqx/jwyoW17UX2bOa11ZN4Di2on3VBWTjOU5MqfFBH4fsRB9draA/WNUH6VPQU2ela3zo9gA1dD1arbFaB+ecB+y5Jp7rfrhY5iX9CsGCZeGyiFnobHRkcHNI3QzY+mCodltzOe84rOQal83W2YM6gI61VT0fGvhFR/Cdc/gzvnqdvy5H/HCtvjbVHxxjv6rZfEEdx1I3a6s+oNa+yk/ZXPTleO159VvtkpVvONSTVX9q/KyB86F5jvSpLhyyQ+76BNo653yOr2oCbVJHvZoXZP8g9VMW8+ecPYJO1oeHcRL8+KLV+ai9cy11HJMTKJuXZD9SVm/V+5XvjswRmdrtS851dQM6+F7F1Ffnx/wTc8jYUO3Bmrb0OJD5RgL9LqbUevP5gq3xUhb7cAzmVO9dxt+KVWvMnlXdrZpA/fwk3f7m2VigT67Nb7UW0/aQXeej1pr+oNanziofr/WTXws6m+qf+dwj+uGMbvpJqo+MkeAD/8PFc8OVP1wYLG4WbpVzcyiDmwHU9wEm6K/mIOeBjVxjpQwZt9qnDSinTuJDAzqdnJNVPGVIfcg4YJ2gv2PtV/Uwz0OJBxeoU2OLupk7Z9GmxmL80CcZ0OXIvA/Wzo5z5yPnJetiPHW72JJ1Scqr+ewtGN/xQ36Ru1q0xU+O61+/q09S1edsDEn7zAVy7rz7DrusO2WO9Kc+eJ0wpp0HdL3bYpWPsmewrswnY6eMThdfnRqr66PoU/Jaf4c+iTZOjZljx/gR8tPGA+y/+TuXcUA9ronJGZutmJD2qbdaix0538mwysNaVrGYzxyPYVUT6JeYgr7jmW+SecDqOQDYoksPXeuAjjmlLBkj43e5QNXRl7l0eaVOXifp33nHOOea7vy4Njmv8pLMb7hY5iX9CsHidhG7MYQFL8ro5JEbIDk0xyFsqi4W1LhVlrTxi0bVcYPyMIMtHTY8c27+qncoR/1wVuYhm7qMw5b9Vq5i/3xYaQOZB6x6nblacwXbQ/3ocmSMeexXdpA+zLfLz76gp7+URV3tMveuDn3knP3CPsnxzq7zX2vFNu+HdSX2rNoC+jUGPmt/nHfOWjI2dHLaQ9adcs5B7buy1Jwy3653oK6+kHNPZXxkPyBwDLr8jJ+YS5Lxs/bLiZG+AB+rusWajIls/cf4qTHBsdr/nONsjcjq6Z85yDFJH8pdbvqX2kNR7nRBufpPDsXi6Hpo/up0+hXtuU9iryHzdUzfuV7ImfmtWrMu7DP/9A8Zw7msWV31HF+trcyr+/pbr0HfnAHfWbNYO3R+mHev17nsh3Ey1+HiuPGdGy4EFiwLm82RC9nNwIZk83gNVVeZAxkbzujneJWTGqvGzZjVhzrasFlTRxmol3k4pMNY6kvNT7nzI/ZZfXRqjWCdkHnUPDkn2KPrw2qVB5iDsaHmWmsGfOo/MX/r6vI0TpJ22Uvsam/y05RDfVFWV9KuqwOYq/WbQyXH027lw5qyNueg2iTVlnPq15q3PnVLMq8qc9S9Ds5VGbyu90tWOWXd2B6TP3IXP8FWndStfrxvNWbK6gJj6Y9z9g62YjgmjKvjtfEr+gdzcAx9X95X+aNLrjlW+y/miA/jrJ7FnQxZZ42VmFftobniE7q1WuUup2QVSzLPrVok9RPjEkvUI64HdM/+Ss1bW8CecebTvnB6nDEAABofSURBVLtfkDqM1+uqV3XEPMyr+uDcyYA/6eKvbDkfIvuTcchxuHhu8dfXcSYPwS1ucYvdTWnNr7zh9/cLmMXswmcROwaOew25SdicbuJK+q0Yp8qQdjWPZJXrilUNSeocAh+Za8I4DxS+6NUHG6RNl9fKr9T+ZZyV7yTjwCpX9DJWzTXvQZdvl1vaOFb9ylZ+XbwE2617IF1OknNQ5UO+OzLvzsdWPh3pT32+OOOzm6uow3zK4PVW3ejUfGvfMw/wubGi6gO+O7/mneeEsZrzofw6Mv4f/fGf3mhN1Jq2YtQck9SrfV/dg2RVS8ZUJ8fIF//pu9aLfvrfev5D9qzmio01mUeXV+c781jJSdfHQ/cL0he+U2errpr/A+93t91Lf/SVuzvf+SP3Y+aZ9RsrbTuO1RP1ky3b1D82hmCbtWyB3qGer+jup3J3T0C/d7/zrffny+GmvnPdXJlP0q8QLmxwM+YYMF43Ktc84NgQbgb18shx9R3POMjqOZ8yIG/5AG08Uh+ZB4IbtdPhgNWnRRX1Oz/ok1/3sAD1OBKuzbXmv6q9xtEvR9aSOC882A59gql+NwfMd3mS28oGMg/g2gOwXX2Kv+qRtqu6UobMaWuuyuZ07JoR80sfq5iy8me9+gR95twxayFlUO7qXuXLeL1f+vUe1Zq7nOr9RKf2i3nq4qwPc7JeqHZ5DTW/rfisp6wXmfn0txWDY2u9qAM1jqTvlX23H8T5zIF7xlj6Vuasj/StnjG2elbrBeYS7RJ9pm9I3SpX3YxjLXlvzDPHQL8cqbNVlzG5BnJJnIfMi3F0qz/9SNU7hPp5X5L6XFBnlUvKFX2nD+PWHLDf6vnKFrJvVfb+1Hz1MVw885J+hWDBsnDFzeFG6BY6GxrYCDzUGYc6D2mPPhsI2RjGr/HSR9L5qLaclf1iyrW2oB6kT0ldqHb6T5lYvBBK5gadzVad/rN1zR9Z37V/kHGgq1udjI8efrq6jQf67eagy3PLpsuljqX/SsZLWbbqgpoTcSXnstdd340tyl3PjVN9QM0HtFX2rD9xTJ1K5qhe2iinTzCXru4u35yvkEM+N6DmJPV+Zgxhvus9NjmedtWPdadNlUE7j64foo4Yw952OUPei9WaU06qPdT8zaHOg7kylnkr5xigV+8j1JjYeRgLMq6+M7+UjZW+na9rVVLXGOe5X1BjpI4yR60LO1CX57jkfUsfYt6iXPvi14ZurspQ70vOZ0zGDq1ROCY2fjJuzaHWDulnZavdan+IOTKGXOsZLo5+Fw43GR98wIaqmwxyUbvQEzZG6jK/skeXzWSMlX6OcU7YcMbUTxdLGX03rufUg9QRrs23s6syOpfTS+c5V8zL+Cmjrw+vuzigTRe/Ys2eoeZoTziyVqlz2UcOcA5qL3IMMn7Kkn5TThjLPLqc8GmPHOdw3BxXvUM3/YL+IH3k3pO0R4cj++H8ob6BY5yTVV5SfWrP2TnBl4d0a18fiTZpn3lI1w/l7LN6tf+c7VnnAxmMzVjmpFzXOefaD+l6AF3/Ml+O/EY/9VcyaAvMJcaodUraijlnrXlOsreSMXM8a1VmnqPLr+Yq5msftM9YkLUxp76kXSdDtZG8xxmHmoQ5oFap8Y2lLuArewW1LxmzzknKoN+sDawBGKtrq7tvx8TWD7rqp7y1T8C8OlvmjJGyqJu2xMv7M1wc8zPpZ7zuda/bveQlLzm72u2e85zn7J761KeeXe12n/d5n7e7733ve3Z1mPyZdGCxC5vRRc/mWf2cF2iHn/QB+hbn2Sz6TJvOB7puXGXzq7ZdruhkvMS56r/2xOv0v9WXzGurl6nX5aG8iiPpJ3tufcfkXOlqYCzrAfVW+ec9rblBzkunV9nqETbOH4qpnD7O06dK+oXz+tIeaq+hqyHvj3X4Cd6qT5nXoXVZ8zdOvd+ZU9LpKlfflc4fdL0B9e0/rHwIuvag+3nzrOtyc858kprvedYLtufJp/ak3gtl0Xf+THpF39qr040zVucT5rr6zdVccj79ZA1V7nweIus1h6wF0rdj1c6fSb/rXa9d5pC+ofraWhc5d2j94Je9Yx9rPzsyl628VrGxqfdDuYJf/XT3OvvdsYpl7uf5mfSLfue6uTIv6cHtb3/73dve9razqxvyxje+8bqHwF3Prg7za2/9k/3ZzQZ8t8nG4JM+qBtyhXZuLO2T1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the hydraulic conductivity with a falling-head permeameter","description":"A falling-head permeameter is another device for measuring the hydraulic conductivity  of a soil sample. In this problem the sample is placed in a cylinder of length  and cross-sectional area . Unlike the constant-head permeameter, in which the water level in a standpipe (or tube) is kept constant, the falling-head permeameter has a water level in the tube (of cross-sectional area ) that falls. In other words, the head difference , or the difference between the water levels in the tube and the outlet, decreases in time. \r\nThe hydraulic conductivity can be determined from a statement of conservation of mass (i.e., water volume) by equating the rate of change of volume in the tube to the flow out of the soil sample. The outflow can be computed with Darcy’s law, which states in general\r\n\r\nDarcy’s law applies when a Reynolds number based on the specific discharge  and representative diameter  of the soil grains is less than (approximately) 1—that is, \r\n\r\nwhere  is the kinematic viscosity of the fluid.\r\nDerive and solve an ordinary differential equation for the head difference . Then write a function that takes as input measurements of head difference as a function of time, as well as the soil’s porosity, diameter of the tube, and length and diameter of the cylinder holding the soil sample. The function should compute the hydraulic conductivity by fitting the solution to the ordinary differential equation to the data and using Darcy’s law regardless of its validity. Also return a flag indicating whether Darcy’s law is valid throughout the experiment; to assess the validity, relate the hydraulic conductivity to the representative grain diameter with the Kozeny-Carman equation, as described in the previous problem. Use  and .\r\n\r\n","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: 902px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 451px; transform-origin: 407px 451px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 107px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; 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 53.5px; text-align: left; transform-origin: 384px 53.5px; 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: 272.5px 8px; transform-origin: 272.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA falling-head permeameter is another device for measuring the hydraulic conductivity \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);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 103px 8px; transform-origin: 103px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of a soil sample. In this problem the sample is placed in a cylinder of length \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);\"\u003eL\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 82px 8px; transform-origin: 82px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and cross-sectional area \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"A_c\" style=\"width: 16.5px; height: 20px;\" width=\"16.5\" 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: 37px 8px; transform-origin: 37px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Unlike the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/55825-measure-the-hydraulic-conductivity-with-a-constant-head-permeameter\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003econstant-head permeameter\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.5px 8px; transform-origin: 11.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, in which the water level in a standpipe (or tube) is kept constant, the falling-head permeameter has a water level in the tube (of cross-sectional area \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"A_t\" style=\"width: 15.5px; height: 20px;\" width=\"15.5\" 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: 147px 8px; transform-origin: 147px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) that falls. In other words, the head difference \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);\"\u003eδ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 145px 8px; transform-origin: 145px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, or the difference between the water levels in the tube and the outlet, decreases in time. \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: 378px 8px; transform-origin: 378px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe hydraulic conductivity can be determined from a statement of conservation of mass (i.e., water volume) by equating the rate of change of volume in the tube to the flow out of the soil sample. The outflow can be computed with Darcy’s law, which states in general\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 35px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; 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 17.5px; text-align: left; transform-origin: 384px 17.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Q = -K(dh/dx)A\" style=\"width: 85px; height: 35px;\" width=\"85\" height=\"35\"\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: 246px 8px; transform-origin: 246px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eDarcy’s law applies when a Reynolds number based on the specific discharge \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"v = Q/A\" style=\"width: 57.5px; height: 18.5px;\" width=\"57.5\" 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: 93px 8px; transform-origin: 93px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and representative diameter \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);\"\u003ed\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-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 of the soil grains is less than (approximately) 1—that is, \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 35px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; 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 17.5px; text-align: left; transform-origin: 384px 17.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJ4AAABGCAYAAAA96C05AAAHnklEQVR4Xu2dueslRRDHd/8AFY/ISDwCQVjxDDxAwRsEQVGzBcEbE090DZb1BsP1AE1MvAJFUTwCQU1EBQXBRI3EyPsf0PpAFxRN95vpmZo3M+9XA8X77ZvuetXf/k5Xd3VN7/59cQUCMyCwf4bfjJ8MBPYF8YIEsyAQxJsF9vjRIF5wYBYEgnizwB4/GsRbFgdOFHPOFLlG5C2R75dlnp81QTw/LMdoukUq3y9yXlLys3yePkbh0usG8ZbVQ/8lc16Uz7uXZZqvNUE8XzzHaMPN/p4U3Cqfb4xRtvS6Qbzl9NC1YsoHyZyT5POP5Zjmb0kQzx/ToRpfkIp3iXwjcv5QJWupF8RbTk/9JKacJvKUyGPLMWsaS4J47bhqyOPLQtUD8t0xIqV7efFT5YuTRX5Ldb5LBS7pWb/d8gXVCOL16wzmX2eJPJuK/yWfZ4jYeRikU/LcKX+/XFFN6OQJEXS8LXK7yCciuFmuPdEne6KR/bjVqxSkeb0yMjESfiRCLK40T7P37arVLio+lrpX97Jk5YWCeG0daEMepVFN7+fzNEbDz0SOF8nrXSzffZHM2DRStlm68NJBvPYO+jqNaqUgL/M2dh3OFtHtLjvSlerYEc/Wa7dsRTX6EE8nwV3N+lEK7HTsKQGAO72q4k4fku/PEcEl66VhktK8kDJPijyaCLsL22Tw5Z8uLvQl3hWi6OnkKiwBmZPwROse45vy92siH3axdMX3IReLDEa2Cw3AAM7cDix+Se3r40Y3jaBrgon2PyDCIqlz5O5DPG28Aq7/ttF1AH7PEHOX5yoWB4sBI+E7InY1q6MdmBGjU0IqhnYlvNZtMgaeI4lw2q7JiFdafdkVH27FPvlrenK7bLXtVOLdIZUuE7EuFj266V/bjbDEXOM2mYaZfpC2Hk59TrtdiacuAcUPizyX9ZBd8XHrOpFddLnWfQIw+XPE5azbpf12NCvtRlg9c2+TYevY3D/rCdyIl5OqplifcIBfq+voGvEsYXgAbxIh9pYvrGy5nHjg+ZUI7pdL7zNyctWCz122td7HxkMiF4ic0Fo5Kz8J8eySHzdaMtI+4djUyfqRDZ2ruiUUNtRcpH1YGdGUnOD0igi7FaxmufAOx4qQDLqNBAElHKtzLo8RdxLi6ZIfI1m55nMZvid/7ObUkL4ReADgWlMoRonHA8i8bpOLsnM4VsEkAtDZeINfRTRwzD30lUbOBJHLR4lwz6e+G/sDkxBPMycwruRCc4Dz+Y5tFI2/V+RKkWdEHkk3ybjtm/zYN7bYBeYQwusq7nFR3iduifu8IRnyrXy+KqKrW3DDe7zb0PauNpXu47HuS6TnPiOcF+H099yJp9F4/QF9WnENF4kwyulchdHwnkqH2GW3jeCrwS3DfR7aGdIZ1NnV6YDioQkJ2j9TEG4y4tnwAT+CGyXCnjfm0w0jgN02yl21uuiaCy+RCpsODmWbqccom8fWHNTOrmKbhJuMeHbupmEUS0Y7ca4hrjryhUkemhi7pJ+9x2c2YA7CTUa8P0UzWRVcNkmx9n2OvSWp3dGwGRu7GnrZFg/nJNwkxMtDJHaLzS4oNr2OpwTV0c7u6eFeCSnsorvbFulKW1bEBe0iZhu2uC4uWJG9lKzOQySWlLXMCzvaETLgwjWTm8accCjh5lzVbqMTh/yGfaC1/jYJ6Eo8TQGiIaVtsq4wi43/ea4gY1Vbp+ZcBHQlnt0CKxHHjoilVaklrucm+DZXtXk4achoNKTO+1Lp+iEVU51tE9CNeH22yfJOyVN/7Iq4lBYERpDoX5GlJhSslXjKWeaAt4kQqNdF4hQu2I141k1uCu5acuV5eHaOxwLERvsB5GhCp7QFN+Jhj6oFBKYmoAvxbKhDFwS1fcSuPDybTgWBeaXvFBEyVUvzxmDNtAjUCDjmJXK8AkkPuqnQ2a+lDGSYe3mh7axAPxcp7acyl9Prb/kj33uEnJeKYKDq2bTTMS30oR0EIOCNIg+KsF88JC2K/sSNn1vhCxsCxRSvltT36K7dRYCBoW+ChgsKQTwXGENJKwJBvFbEorwLAkE8FxhDSSsCQbxWxKK8CwJBPBcYQ0krAkG8VsSivAsCQTwXGENJKwJBvFbE+pcnuMrpoJFVXcAsiNefSF0l7e6Mvq9ay6yGlCTS7olDGEvABfG66NR2P9+zrGXkkE52nEh+DEjbr624dBDPv/M0OXZTRg9lDor0OaTb38IFaAzi+XaCzd2rZWjokW5DNuV9rZ1RWxDPF3ybkV37bwPI5OFEgTFpSL5Wz6AtiOcLuqb61w42UmJ6vgbg24ItaQvi+QFtT4eqHczNvI97e3q0A/Ignh/x7DsqeRhFj/BglZv/xyx+FqxIUxDPr7Nqx8qy4OANPI7m9XzF08/yGTQF8fxA1zCKvviev9sQx3QYrIN4PsSzpypAPN470UMq+xzg6GPFirQE8Xw6y4ZRVCOE4+BJzjDpc4CjjyUr0RLE8+koPXGT+Bz/qw2jXiQHbMA2iOdDvNDSiEAQrxGwKO6DQBDPB8fQ0ohAEK8RsCjug0AQzwfH0NKIQBCvEbAo7oNAEM8Hx9DSiEAQrxGwKO6DQBDPB8fQ0ojA/8ufplYRaJgpAAAAAElFTkSuQmCC\" alt=\"Re = vd/nu \u003c 1\" style=\"width: 79px; height: 35px;\" width=\"79\" height=\"35\"\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: 21px 8px; transform-origin: 21px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \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);\"\u003eν\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 116px 8px; transform-origin: 116px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the kinematic viscosity of the fluid.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 147px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 73.5px; text-align: left; transform-origin: 384px 73.5px; 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: 231.5px 8px; transform-origin: 231.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eDerive and solve an ordinary differential equation for the head difference \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);\"\u003eδ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-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. Then write a function that takes as input measurements of head difference as a function of time, as well as the soil’s porosity, diameter of the tube, and length and diameter of the cylinder holding the soil sample. The function should compute the hydraulic conductivity by fitting the solution to the ordinary differential equation to the data and using Darcy’s law regardless of its validity. Also return a flag indicating whether Darcy’s law is valid throughout the experiment; to assess the validity, relate the hydraulic conductivity to the representative grain diameter with the Kozeny-Carman equation, as described in the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/55825-measure-the-hydraulic-conductivity-with-a-constant-head-permeameter\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eprevious problem\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 18px 8px; transform-origin: 18px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Use \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"g = 981 cm/s^2\" style=\"width: 90.5px; height: 19.5px;\" width=\"90.5\" 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: 16px 8px; transform-origin: 16px 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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\" alt=\"nu = 10^{-2} cm^2/s\" style=\"width: 94px; height: 19.5px;\" width=\"94\" 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: 359px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 179.5px; text-align: left; transform-origin: 384px 179.5px; 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: 401px;height: 359px\" 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alt=\"falling-head permeameter\" data-image-state=\"image-loaded\" width=\"401\" height=\"359\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n)\r\n  K = f(delta,t,L,Dc,Dt);\r\n  isDLvalid = (Re \u003c 1);\r\nend","test_suite":"%%\r\nDc = 11.28;                                 %  Diameter of cylinder holding sample (cm)\r\nDt = 2.26;                                  %  Diameter of tube (cm)\r\nL  = 10;                                    %  Sample length (cm)\r\nn  = 0.15;                                  %  Porosity\r\nt  = [0 1 2 5 10 15 20 25]*86400;           %  Time (sec)\r\ndelta = [5 4.6 4.4 3.4 3.1 1.8 1.4 0.9];    %  Head difference (cm)\r\nK_correct = 3.08e-7;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%%\r\nDc = 8;                                                %  Diameter of cylinder holding sample (cm)\r\nDt = 2;                                                %  Diameter of tube (cm)\r\nL  = 15;                                               %  Sample length (cm)\r\nn  = 0.25;                                             %  Porosity\r\nt  = 0:60:420;                                         %  Time (sec)\r\ndelta = [25 20.63 17.03 14.05 11.60 9.57 7.9 6.52];    %  Head difference (cm)\r\nK_correct = 3e-3;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%%\r\nDc = 7.5;                                              %  Diameter of cylinder holding sample (cm)\r\nDt = 1.75;                                             %  Diameter of tube (cm)\r\nL  = 7.6;                                              %  Sample length (cm)\r\nn  = 0.2;                                              %  Porosity\r\nt  = [0 1.25 2.36 3.74 5.40 7.20 9.28 12.08];          %  Time (sec)\r\ndelta = 88.9:-10:18.9;                                 %  Head difference (cm)\r\nK_correct = 5.25e-2;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%%\r\nDc = 7.6;                                                               %  Diameter of cylinder holding sample (cm)\r\nDt = 1.5;                                                               %  Diameter of tube (cm)\r\nL  = 7.5;                                                               %  Sample length (cm)\r\nn  = 0.2;                                                               %  Porosity\r\nt  = [0 1.06 2.11 3.62 4.88 6.53 8.39 10.67 13.52 17.37];               %  Time (sec)\r\ndelta = [56.02 50.36 44.7 39.05 33.39 27.73 22.07 16.41 10.75 5.09];    %  Head difference (cm)\r\nK_correct = 3.89e-2;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%%\r\nDc = 7.6;                              %  Diameter of cylinder holding sample (cm)\r\nDt = 1.5;                              %  Diameter of tube (cm)\r\nL  = 7.5;                              %  Sample length (cm)\r\nn  = 0.2;                              %  Porosity\r\nt  = [0 2.28 5.13 8.98];               %  Time (sec)\r\ndelta = [22.07 16.41 10.75 5.09];      %  Head difference (cm)\r\nK_correct = 4.79e-2;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%%\r\nDc = 8;                                                      %  Diameter of cylinder holding sample (cm)\r\nDt = 2.5;                                                    %  Diameter of tube (cm)\r\nL  = 15;                                                     %  Sample length (cm)\r\nn  = 0.18;                                                   %  Porosity\r\nt  = 0:7200:50400;                                           %  Time (sec)\r\ndelta = [50 43.15 37.23 32.13 27.72 23.92 20.64 17.81];      %  Head difference (cm)\r\nK_correct = 2.99e-5;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2022-10-01T17:35:56.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-10-01T17:35:38.000Z","updated_at":"2026-02-10T14:28:46.000Z","published_at":"2022-10-01T17:35:57.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA falling-head permeameter is another device for measuring the hydraulic conductivity \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of a soil sample. In this problem the sample is placed in a cylinder of length \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eL\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and cross-sectional area \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"A_c\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA_c\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Unlike the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/55825-measure-the-hydraulic-conductivity-with-a-constant-head-permeameter\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003econstant-head permeameter\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, in which the water level in a standpipe (or tube) is kept constant, the falling-head permeameter has a water level in the tube (of cross-sectional area \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"A_t\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA_t\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e) that falls. In other words, the head difference \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"delta\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\delta\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, or the difference between the water levels in the tube and the outlet, decreases in time. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe hydraulic conductivity can be determined from a statement of conservation of mass (i.e., water volume) by equating the rate of change of volume in the tube to the flow out of the soil sample. The outflow can be computed with Darcy’s law, which states in general\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q = -K(dh/dx)A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = -K\\\\frac{dh}{dx}A\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\u003eDarcy’s law applies when a Reynolds number based on the specific discharge \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v = Q/A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev = Q/A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and representative diameter \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"d\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ed\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the soil grains is less than (approximately) 1—that is, \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Re = vd/nu \u0026lt; 1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eRe = \\\\frac{vd}{\\\\nu} \u0026lt; 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\u003ewhere \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"nu\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\nu\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the kinematic viscosity of the fluid.\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\u003eDerive and solve an ordinary differential equation for the head difference \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"delta\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\delta\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Then write a function that takes as input measurements of head difference as a function of time, as well as the soil’s porosity, diameter of the tube, and length and diameter of the cylinder holding the soil sample. The function should compute the hydraulic conductivity by fitting the solution to the ordinary differential equation to the data and using Darcy’s law regardless of its validity. Also return a flag indicating whether Darcy’s law is valid throughout the experiment; to assess the validity, relate the hydraulic conductivity to the representative grain diameter with the Kozeny-Carman equation, as described in the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/55825-measure-the-hydraulic-conductivity-with-a-constant-head-permeameter\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eprevious problem\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. Use \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"g = 981 cm/s^2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eg = 981\\\\rm\\\\,cm/s^2\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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"nu = 10^{-2} cm^2/s\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\nu = 10^{-2}\\\\rm\\\\,cm^2/s\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:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"359\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"401\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"middle\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"falling-head permeameter\\\"/\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 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"problem_search":{"errors":[],"problems":[{"id":59007,"title":"Compute head profiles for steady 1D flow through soils in series","description":"Cody Problem 58966 involves compute the head profile for steady, one-dimensional flow in a homogeneous aquifer (i.e., one with uniform hydraulic conductivity), and Cody Problem 52070 involves computing the effective conductivity of simple heterogeneous aquifers (i.e., those with multiple soil units either all in parallel or all in series). This problem asks solvers to combine the ideas from the two problems for soil units in series.\r\nWrite a function to compute the head  at specified points  for steady 1D flow through soils in series. Other input to the function is the locations of the boundaries of the soil units, their hydraulic conductivities, the heads at  and , and a Boolean variable that is true for confined aquifers and false for unconfined aquifers.","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: 156px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 78px; transform-origin: 407px 78px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58966-compute-the-head-for-steady-1d-flow-in-a-homogeneous-aquifer\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 58966\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 308.35px 8px; transform-origin: 308.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e involves compute the head profile for steady, one-dimensional flow in a homogeneous aquifer (i.e., one with uniform hydraulic conductivity), and \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/52070-compute-the-effective-conductivity-of-a-heterogeneous-aquifer?s_tid=ta_cody_results\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 52070\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 171.408px 8px; transform-origin: 171.408px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e involves computing the effective conductivity of simple heterogeneous aquifers (i.e., those with multiple soil units either all in parallel or all in series). This problem asks solvers to combine the ideas from the two problems for soil units in series.\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: 116.167px 8px; transform-origin: 116.167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the head \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);\"\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; perspective-origin: 59.9px 8px; transform-origin: 59.9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at specified points \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-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 187.467px 8px; transform-origin: 187.467px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for steady 1D flow through soils in series. Other input to the function is the locations of the boundaries of the soil units, their hydraulic conductivities, the heads at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" alt=\"x = 0\" style=\"width: 36.5px; 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; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 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,iVBORw0KGgoAAAANSUhEUgAAAE4AAAAkCAYAAAAnxQwhAAACqElEQVRoQ+2YvU4VURDH7+2hUCpoKKTAhMKGj4RY2EBjQ0gElIJQiDwAJPoAmsADCG+gJj4AlBASPho6LaQgIVABEuz1/0/O6LDee885k9wPsrPJP7uwM2fO/u7snDlbrfhhIlA1eblTxcEZk8DBOTgjAaObZ5yDMxIwupUx4ybAahp6CXUVuH3B38fQhxjPMoITJjO4+KQAreN6NQZM7pcZ3BtA+BhAXOA8BF05uDiBTZi8DmbbOE/GXf5ZlDnjzoGhN6B4l1LXNNiygnsECD8UiAFcn3jGxQno+vYd5uM59Y3DN8q4h7j/AnoGPQ1pvYzzRpgX77O40obFtS8+346x+BzmzQmxBeEKm3U0Asd+5wF0DX2F2PMIIELbC5EGwzkl3TnmVtYMaxtn16TCMLfhefjvWYggs47UGqdXoB5EYKb9hJYg1guCPEqI3AnghjHPQzVXPk9yGyJ+qeB0s8ilm8ecJWAC3GabvEWA9yEI69tjS8BUcMyoyxDgF85PoKxVyDK5JvnsY9zRMHbWbkHPJxUcfb5BrGfmX6lJIHKH/a0c2PTKG5Q1Tg44WYmYcd1ZUTrHWNdYPke/tdykgisWdesv1e7FwbLN4px53MnMFHCsb6fQCiSbYmttaDc4KTcEkdrScGu2YAHHYroD8ZOLBD7A9Vj4JdiFs4nMXtJb/AbrBY6hR6BYC7UGm3novy8ntTKOfQ4PDiqNIXcMBKNTnb6ENgXdh9ZEb7P4fLH+TexrfjkpgtPNIYvnGfQcktZD93PcRdwU7rc4ibLC6TaEjvV2DHzGRUhqm95m/g1YBMddwC7Ezy18HV8paOIkE6h3P+tpWmAsb4WAyAlZd+VNWRxyApXG1sEZf2oH5+CMBIxunnEOzkjA6OYZ5+CMBIxunnFGcH8Aj6F0Jax+IDwAAAAASUVORK5CYII=\" width=\"39\" height=\"18\" alt=\"x = L\" style=\"width: 39px; 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; perspective-origin: 17.5px 8px; transform-origin: 17.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and a Boolean variable that is true for confined aquifers and false for unconfined aquifers.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function h = flowInSeries(x,xb,K,h0,hL,isconfined)\r\n  h = interp1(xb,linspace(h0,hL,length(xb)),x);\r\nend","test_suite":"%%\r\nx = 0:100:900;                              %  Positions where head is requested (m)\r\nxb = [0 600 900];                           %  Locations of boundaries of soil units (m)\r\nK = [3e-6 1e-4];                            %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 10;                                    %  Head at x = 0 (m)\r\nhL = 9;                                     %  Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [10 9.8358 9.6716 9.5074 9.3432 9.179 9.0148 9.0099 9.0049 9];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:50:700;                               %  Positions where head is requested (m)\r\nxb = [0 450 700];                           %  Locations of boundaries of soil units (m)\r\nK = [2 0.3];                                %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 25;                                    %  Head at x = 0 (m)\r\nhL = 22;                                    %  Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [25 24.9333 24.8664 24.7994 24.7321 24.6647 24.5971 24.5293 24.4613 24.3931 23.9336 23.4652 22.9872 22.499 22];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 300:300:1200;                           %  Positions where head is requested (m)\r\nxb = [0 1500];                              %  Locations of boundaries of soil units (m)\r\nK = 100*rand;                               %  Hydraulic conductivities of soil units (m/d)\r\nh0 = 13;                                    %  Head at x = 0 (m)\r\nhL = 12;                                    %  Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [12.8 12.6 12.4 12.2];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 100:100:1400;                           %  Positions where head is requested (m)\r\nxb = [0 1500];                              %  Locations of boundaries of soil units (m)\r\nK = 50*rand;                                %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 21;                                    %  Head at x = 0 (m)\r\nhL = 19;                                    %  Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [20.8726 20.7445 20.6155 20.4858 20.3552 20.2237 20.0915 19.9583 19.8242 19.6893 19.5533 19.4165 19.2787 19.1398];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000;                             %  Positions where head is requested (m)\r\nxb = [0 1000 3000 6000];                    %  Locations of boundaries of soil units (m)\r\nK = [1 0.2 30];                             %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 38;                                    %  Head at x = 0 (m)\r\nhL = 32;                                    %  Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.8649 37.7297 37.5946 37.4595 36.7838 36.1081 35.4324 34.7568 34.0811 33.4054 32.7297 32.0541 32.0495 32.045 32.0405 32.036 32.0315 32.027 32.0225 32.018 32.0135 32.009 32.0045 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000;                             %  Positions where head is requested (m)\r\nxb = [0 1000 3000 6000];                    %  Locations of boundaries of soil units (m)\r\nK = [0.2 30 1];                             %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 38;                                    %  Head at x = 0 (m)\r\nhL = 32;                                    %  Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.0702 36.1405 35.2107 34.281 34.2748 34.2686 34.2624 34.2562 34.25 34.2438 34.2376 34.2314 34.0455 33.8595 33.6736 33.4876 33.3017 33.1157 32.9298 32.7438 32.5579 32.3719 32.186 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000;                             %  Positions where head is requested (m)\r\nxb = [0 1000 3000 6000];                    %  Locations of boundaries of soil units (m)\r\nK = [30 1 0.2];                             %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 38;                                    %  Head at x = 0 (m)\r\nhL = 32;                                    %  Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.9971 37.9941 37.9912 37.9883 37.9002 37.8121 37.7241 37.636 37.5479 37.4599 37.3718 37.2838 36.8434 36.4031 35.9628 35.5225 35.0822 34.6419 34.2016 33.7613 33.3209 32.8806 32.4403 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000;                             %  Positions where head is requested (m)\r\nxb = [0 1000 3000 6000];                    %  Locations of boundaries of soil units (m)\r\nK = [1 0.2 30];                             %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 38;                                    %  Head at x = 0 (m)\r\nhL = 32;                                    %  Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.8753 37.7502 37.6247 37.4988 36.8628 36.2156 35.5566 34.8851 34.2005 33.5019 32.7884 32.0591 32.0541 32.0492 32.0443 32.0394 32.0345 32.0295 32.0246 32.0197 32.0148 32.0099 32.0049 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000;                             %  Positions where head is requested (m)\r\nxb = [0 1000 3000 6000];                    %  Locations of boundaries of soil units (m)\r\nK = [0.2 30 1];                             %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 38;                                    %  Head at x = 0 (m)\r\nhL = 32;                                    %  Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.1338 36.2469 35.3377 34.4045 34.3982 34.3919 34.3856 34.3793 34.373 34.3666 34.3603 34.354 34.164 33.973 33.7809 33.5877 33.3933 33.1979 33.0013 32.8034 32.6044 32.4042 32.2027 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000;                             %  Positions where head is requested (m)\r\nxb = [0 1000 3000 6000];                    %  Locations of boundaries of soil units (m)\r\nK = [30 1 0.2];                             %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 38;                                    %  Head at x = 0 (m)\r\nhL = 32;                                    %  Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.9973 37.9946 37.9919 37.9892 37.908 37.8266 37.745 37.6633 37.5813 37.4992 37.4169 37.3345 36.9194 36.4996 36.0749 35.6451 35.2101 34.7697 34.3236 33.8716 33.4136 32.9491 32.478 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 300:300:1200;                               %  Positions where head is requested (m)\r\nxb = [0 unique(100*randi(14,1,randi(6))) 1500]; %  Locations of boundaries of soil units (m)\r\nK0 = 100*rand;                                  %  Hydraulic conductivity of soil units (m/d)\r\nK = repelem(K0,length(xb)-1);                   %  Hydraulic conductivities of soil units (m/d)\r\nh0 = 13;                                        %  Head at x = 0 (m)\r\nhL = 12;                                        %  Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [12.8 12.6 12.4 12.2];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nxi = unique(100*randi(14,1,randi(6)));          %  Locations of interfaces of soil units\r\nxb = [0 xi 1500];                               %  Locations of boundaries of soil units (m)\r\nK = 100*rand(1,length(xb)-1);                   %  Hydraulic conductivity of soil units (m/d)\r\nh0 = 30*rand;                                   %  Head at x = 0 (m)\r\nhL = 25*rand;                                   %  Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(xb,xb,K,h0,hL,isconfined);\r\nassert(all(diff(K.*diff(h)./diff(xb))\u003c1e-12))\r\n\r\n%%\r\nxi = unique(100*randi(14,1,randi(6)));          %  Locations of interfaces of soil units\r\nxb = [0 xi 1500];                               %  Locations of boundaries of soil units (m)\r\nK = 100*rand(1,length(xb)-1);                   %  Hydraulic conductivity of soil units (m/d)\r\nh0 = 30*rand;                                   %  Head at x = 0 (m)\r\nhL = 25*rand;                                   %  Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(xb,xb,K,h0,hL,isconfined);\r\nassert(all(diff(K.*diff(h.^2)./diff(xb))\u003c1e-12))\r\n\r\n%%\r\nfiletext = fileread('flowInSeries.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":46909,"edited_by":46909,"edited_at":"2023-09-24T14:39:22.000Z","deleted_by":null,"deleted_at":null,"solvers_count":2,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-09-24T14:38:53.000Z","updated_at":"2026-02-12T13:44:49.000Z","published_at":"2023-09-24T14:39:24.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58966-compute-the-head-for-steady-1d-flow-in-a-homogeneous-aquifer\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 58966\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e involves compute the head profile for steady, one-dimensional flow in a homogeneous aquifer (i.e., one with uniform hydraulic conductivity), and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/52070-compute-the-effective-conductivity-of-a-heterogeneous-aquifer?s_tid=ta_cody_results\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 52070\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e involves computing the effective conductivity of simple heterogeneous aquifers (i.e., those with multiple soil units either all in parallel or all in series). This problem asks solvers to combine the ideas from the two problems for soil units in series.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to compute the head \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h\\\"/\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 at specified 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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x\\\"/\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 for steady 1D flow through soils in series. Other input to the function is the locations of the boundaries of the soil units, their hydraulic conductivities, the heads 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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = 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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and a Boolean variable that is true for confined aquifers and false for unconfined aquifers.\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":55825,"title":"Measure the hydraulic conductivity with a constant-head permeameter","description":"A constant-head permeameter is a device for measuring the hydraulic conductivity  of a soil sample. In this problem the sample is placed in a cylinder of length  and cross-sectional area . By supplying a flow  to a standpipe, water is maintained at a constant level so that the head difference , or the difference in water levels between the standpipe and outlet, is constant. \r\nThe hydraulic conductivity can then be determined from Darcy’s law\r\n\r\nwhere the head gradient  is simply . Darcy’s law applies when a Reynolds number based on the specific discharge  and representative diameter  of the soil grains is less than (approximately) 1—that is, \r\n\r\nwhere  is the kinematic viscosity of the fluid.\r\nThe Kozeny-Carman equation provides one way to relate the hydraulic conductivity to the representative grain diameter:\r\n\r\nwhere  is the acceleration of gravity and  is the porosity of the soil \r\nWrite a function that takes as input the flowrate, the head difference, porosity, and length and diameter of the cylinder holding the soil sample and returns the hydraulic conductivity and a flag indicating whether Darcy’s law is valid. Compute the conductivity using Darcy’s law regardless of its validity, and use  and .\r\n\r\n                              ","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: 838.4px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 419.2px; transform-origin: 407px 419.2px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 256.342px 8px; transform-origin: 256.342px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA constant-head permeameter is a device for measuring the hydraulic conductivity \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);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 113.958px 8px; transform-origin: 113.958px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of a soil sample. In this problem the sample is placed in a cylinder of length \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);\"\u003eL\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 80.1333px 8px; transform-origin: 80.1333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and cross-sectional area \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: 65.7333px 8px; transform-origin: 65.7333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. By supplying a flow \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);\"\u003eQ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 75.8417px 8px; transform-origin: 75.8417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to a standpipe, water is maintained at a constant level so that the head difference \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Deltah\" style=\"width: 21.5px; height: 18px;\" width=\"21.5\" 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: 188.533px 8px; transform-origin: 188.533px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, or the difference in water levels between the standpipe and outlet, is constant. \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: 209.533px 8px; transform-origin: 209.533px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe hydraulic conductivity can then be determined from Darcy’s law\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Q = -K(dh/dx)A\" style=\"width: 85px; height: 35px;\" width=\"85\" height=\"35\"\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: 77.4167px 8px; transform-origin: 77.4167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere the head gradient \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"dh/dx\" style=\"width: 39.5px; height: 18.5px;\" width=\"39.5\" 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: 30.725px 8px; transform-origin: 30.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is simply \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Deltah/L\" style=\"width: 38.5px; height: 18.5px;\" width=\"38.5\" 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: 214.6px 8px; transform-origin: 214.6px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Darcy’s law applies when a Reynolds number based on the specific discharge \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHMAAAAlCAYAAABxlNYMAAAFPElEQVR4Xu2aucsdVRjGkz9AcKtERDTWETVooYKFRmKTQjARixTiCnYuuHQqiSKp3MAiRUATsBESTaOFGkQTUBAsXBrBKnH9A/T54Xnx5TDnvGfmOHw3987Aw73fN2eb93n3udu3LdfaSGD72jzJ8iDbFjLXSAkWMucl82Et/7Nwct5t/l19IXNeKf+q5R8T3pt3m4XMueW7RxscFS6deyNbf7HM/yS9U18vSn/+os+fOkl4I83HMnsuzvVXy3k2ncx9EtJe4T7hR+EH4TLhJuGM8NpEF8ka54R7hJ54eU0619P6fCXSiE0l81YJ5ohwrXBKwHq8JXL/A+ES4U3hBeF8JEx3HyV5UdgxYs7QUGItisYZQgvfRDKfkmAOJck9os+3CwKHkHfTvSbLcOtAApb+XAeZKNSnaT5eYle01qaRSRx7NAmlRdvJRrHO3wRcb0scNdd4vcZ/ExFQuY/Lx3PYdbm+VL3DJpFJzfdWkgxW0+ICP9K43Q1W7DlhnwdbLKlCJN7jmXQfZeIKlWNTyPQuC8G0JiaezGOah+uNrq804B2h5L6j+SRP3wvEyANOmcIzR2QihO+E3LxxJVcU7kWH3Yr73mW1ksI5PZktcYsy4msB99jikodkQSggPoKXhGfToJf1WY3BOZkcBrfyUDoQ69wmfJbtarFkTKbn67geQvOzRGv5RIaxoYa7Be05+RdZ793BZggfIlsseGgp8yAmcx8aQiUsWaYFcTYcyuR8IhEG5nRqr+URAaX7JCJjOyreKsfM9zLgPKFlaAx7PS9Mbd8ho9+dMozKaGtuFt9PBlfSCO5zhSlzGofW3jiVxTTPP2jLUub2bGwLITY2t+j9AUnWvrtO48bUpPl+3jis+WBjqoZTI9P8NbEC95IfEC18VZga6FvI6B3j3RRrDYWM0h7e+zAmioM97TtLeghbeVz0rr6a0dbI9MV1rhHWIRnr8nrJGTs/J6Q1JJhwrSyI4pWNf0AHnNK+s1KE+X9mD3lYf+Mhuarxvkam99e5RuBip/YtxxLSM35sNlpysVGN19O+s9iMBxxyz9TD1jyoholWMr1GoEU3CGMztq3IZqeS6ZOmlk5RT/uOM2LZpdyjOaOtkemzOSMTQt4Xbi5oUc2KtiKb9aGipU7k/HmnKHrWnvadeb+a+2zOaKOmwd+JHRrSXwifCHcIU3qOW5HNkmGeSM9ACy8iBmXlGS1WRkmPkf+kvrS0B3NlxwNQLtUqgrxEKsb9VjJxNWxIz3EKkT1xr3eud5m12Ierw3uQbCDgVqWd2r4zD9DSxDCjQhbFZ2glk0VaNu0V/BzzvZsiK31cyBMNLJJ+qr2UHirFhs5mVtNiwX6+Zb+UHS0W7cuTYr3bSmZUMM9Bwv+5phX0uE/acrw4tut+feG1GNY4trSw0BG1+XIizQOUavh8PL9asKukkOGv8zjsceFCc61DioA13CsQKswCsdCzwufClPpwbPsOS6a8uNgdkP0/FPKeM2M5L5WDH8/UwTmRZQ4J5UL+H+UUjQRKifBnGOlBUYI70xz/7Oa+WxsRs8ttk8i0hAN3elD4VqDbUnsLY6XYEwOW29O+m4XYTSATy3pd4IdRQxfkfil8LJxOA67U5+0CsbSUL5CUjI2xs5Boi647mfYrPGIbZHFdLdwl+N/XDAmZ5KRUipm7Xqne9LqTSRLxhzDU88SF3iJcJdirOV6x0TSgQVJL+nrad7NZ57qTOZfgKOKj5vtcexfXXcicJnKseuXKtYXMaWSu5KyFzJWkZdqhFjKnyW0lZ/0D1tYtNQrw5xEAAAAASUVORK5CYII=\" alt=\"v = Q/A\" style=\"width: 57.5px; height: 18.5px;\" width=\"57.5\" 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: 91.025px 8px; transform-origin: 91.025px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and representative diameter \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);\"\u003ed\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 175.417px 8px; transform-origin: 175.417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the soil grains is less than (approximately) 1—that is, \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Re = vd/nu \u003c 1\" style=\"width: 79px; height: 35px;\" width=\"79\" height=\"35\"\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: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \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);\"\u003eν\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.733px 8px; transform-origin: 114.733px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the kinematic viscosity of the fluid.\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: 371.492px 8px; transform-origin: 371.492px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe Kozeny-Carman equation provides one way to relate the hydraulic conductivity to the representative grain diameter:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 37.1px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; 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 18.55px; text-align: left; transform-origin: 384px 18.55px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-16px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"K = (gd^2/(180nu))(n^3/(1-n)^2)\" style=\"width: 114px; height: 37px;\" width=\"114\" height=\"37\"\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: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \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);\"\u003eg\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 104.242px 8px; transform-origin: 104.242px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the acceleration of gravity 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);\"\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; perspective-origin: 78.95px 8px; transform-origin: 78.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the porosity of the soil \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: 363.683px 8px; transform-origin: 363.683px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that takes as input the flowrate, the head difference, porosity, and length and diameter of the cylinder holding the soil sample and returns the hydraulic conductivity and a flag indicating whether Darcy’s law is valid. Compute the conductivity using Darcy’s law regardless of its validity, and use \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"g = 9.81 m/s^2\" style=\"width: 87.5px; height: 19.5px;\" width=\"87.5\" 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: 15.5583px 8px; transform-origin: 15.5583px 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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\" alt=\"nu = 10^{-6} m^2/s\" style=\"width: 87.5px; height: 19.5px;\" width=\"87.5\" 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: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 338.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 169.35px; text-align: left; transform-origin: 384px 169.35px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 494px;height: 333px\" 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\" 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margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 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: 3.88333px 8px; transform-origin: 3.88333px 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: 3.88333px 8px; transform-origin: 3.88333px 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: 3.88333px 8px; transform-origin: 3.88333px 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: 3.88333px 8px; transform-origin: 3.88333px 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: 3.88333px 8px; transform-origin: 3.88333px 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: 3.88333px 8px; transform-origin: 3.88333px 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: 3.88333px 8px; transform-origin: 3.88333px 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: 3.88333px 8px; transform-origin: 3.88333px 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: 3.88333px 8px; transform-origin: 3.88333px 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: 3.88333px 8px; transform-origin: 3.88333px 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: 3.88333px 8px; transform-origin: 3.88333px 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: 1.94167px 8px; transform-origin: 1.94167px 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: 1.94167px 8px; transform-origin: 1.94167px 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: 1.94167px 8px; transform-origin: 1.94167px 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: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [K,isDLvalid] = CHP(Q,L,D,dh,n)\r\n   K = f(Q,L,D,dh);\r\n   isDLvalid = true;","test_suite":"%% Coarse sand #1\r\nQ  = 8.92e-6;               %  Flow (m3/s) \r\nL  = 0.1;                   %  Sample length (m)\r\nD  = 0.05;                  %  Diameter of cylinder holding sample (m)\r\ndh = 0.3;                   %  Head difference (m)\r\nn  = 0.25;                  %  Porosity\r\nK_correct = 1.51e-3;        %  Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%% Coarse sand #1--larger cylinder area\r\nQ  = 3.57e-5;               %  Flow (m3/s) \r\nL  = 0.1;                   %  Sample length (m)\r\nD  = 0.1;                   %  Diameter of cylinder holding sample (m)\r\ndh = 0.3;                   %  Head difference (m)\r\nn  = 0.25;                  %  Porosity\r\nK_correct = 1.51e-3;        %  Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%% Coarse sand #2\r\nQ  = 2.44e-5;               %  Flow (m3/s) \r\nL  = 0.1;                   %  Sample length (m)\r\nD  = 0.08;                  %  Diameter of cylinder holding sample (m)\r\ndh = 0.05;                  %  Head difference (m)\r\nn  = 0.4;                   %  Porosity\r\nK_correct = 9.69e-3;        %  Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%% Medium sand #1\r\nQ  = 1.52e-5;               %  Flow (m3/s) \r\nL  = 0.08;                  %  Sample length (m)\r\nD  = 0.08;                  %  Diameter of cylinder holding sample (m)\r\ndh = 0.1;                   %  Head difference (m)\r\nn  = 0.4;                   %  Porosity\r\nK_correct = 2.42e-3;        %  Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%% Medium sand #1--reduced head difference\r\nQ  = 7.61e-6;               %  Flow (m3/s) \r\nL  = 0.08;                  %  Sample length (m)\r\nD  = 0.08;                  %  Diameter of cylinder holding sample (m)\r\ndh = 0.05;                  %  Head difference (m)\r\nn  = 0.4;                   %  Porosity\r\nK_correct = 2.42e-3;        %  Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%% Medium sand #2\r\nQ  = 7.08e-7;               %  Flow (m3/s) \r\nL  = 0.1;                   %  Sample length (m)\r\nD  = 0.05;                  %  Diameter of cylinder holding sample (m)\r\ndh = 0.3;                   %  Head difference (m)\r\nn  = 0.3;                   %  Porosity\r\nK_correct = 1.2e-4;         %  Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%% Fine sand \r\nQ  = 3.57e-7;               %  Flow (m3/s) \r\nL  = 0.075;                 %  Sample length (m)\r\nD  = 0.075;                 %  Diameter of cylinder holding sample (m)\r\ndh = 0.4;                   %  Head difference (m)\r\nn  = 0.25;                  %  Porosity\r\nK_correct = 1.51e-5;        %  Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%% Silt \r\nQ  = 1.17e-7;               %  Flow (m3/s) \r\nL  = 0.05;                  %  Sample length (m)\r\nD  = 0.08;                  %  Diameter of cylinder holding sample (m)\r\ndh = 0.3;                   %  Head difference (m)\r\nn  = 0.4;                   %  Porosity\r\nK_correct = 3.88e-6;        %  Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%%\r\nfiletext = fileread('CHP.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'assignin') || contains(filetext, 'assert'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":4,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-08-18T23:24:39.000Z","deleted_by":null,"deleted_at":null,"solvers_count":19,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-17T14:41:04.000Z","updated_at":"2025-12-01T14:29:21.000Z","published_at":"2022-09-17T14:42:34.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA constant-head permeameter is a device for measuring the hydraulic conductivity \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of a soil sample. In this problem the sample is placed in a cylinder of length \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eL\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and cross-sectional area \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"A\\\"/\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. By supplying a flow \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to a standpipe, water is maintained at a constant level so that the head difference \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltah\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta h\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, or the difference in water levels between the standpipe and outlet, is constant. \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 hydraulic conductivity can then be determined from Darcy’s law\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q = -K(dh/dx)A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = -K\\\\frac{dh}{dx}A\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\u003ewhere the head gradient \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"dh/dx\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003edh/dx\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is simply \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltah/L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta h/L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Darcy’s law applies when a Reynolds number based on the specific discharge \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v = Q/A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev = Q/A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and representative diameter \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"d\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ed\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the soil grains is less than (approximately) 1—that is, \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Re = vd/nu \u0026lt; 1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eRe = \\\\frac{vd}{\\\\nu} \u0026lt; 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\u003ewhere \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"nu\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\nu\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the kinematic viscosity of the fluid.\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 Kozeny-Carman equation provides one way to relate the hydraulic conductivity to the representative grain diameter:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K = (gd^2/(180nu))(n^3/(1-n)^2)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK = \\\\frac{g d^2}{180 \\\\nu}\\\\frac{n^3}{(1-n)^2}\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\u003ewhere \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"g\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eg\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the acceleration of gravity 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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"n\\\"/\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:t\u003e is the porosity of the soil \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that takes as input the flowrate, the head difference, porosity, and length and diameter of the cylinder holding the soil sample and returns the hydraulic conductivity and a flag indicating whether Darcy’s law is valid. Compute the conductivity using Darcy’s law regardless of its validity, and use \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"g = 9.81 m/s^2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eg = 9.81\\\\rm\\\\,m/s^2\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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"nu = 10^{-6} m^2/s\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\nu = 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the water table in a layered unconfined aquifer","description":"Write a function to compute the flow per unit width and the elevation of the water table above the bottom of unconfined aquifer with two soil layers. The input to the function will be the positions where the water table elevation (WTE) is requested, the hydraulic conductivities of the two layers, the thickness of the bottom layer, the WTEs at  and , and the length  of the aquifer.\r\nBackground \r\nCody Problem 52070 dealt with the effective conductivity of a heterogeneous confined aquifer. In that case, the effective conductivity  for the case of flow through soil units in parallel could be computed by realizing that the head difference is same for the two soils and the total flow is the sum of the flows through the soils. The effective conductivity then is the weighted average of the individual conductivities, using the layer thicknesses as weights. \r\nFor an unconfined aquifer, the effective conductivity is computed in a similar way, but because the WTE  varies with , so does :\r\n\r\nThen using Darcy’s law as in Cody Problem 58966, one can write the flow  through the aquifer as\r\n\r\nConservation of mass says that in steady one-dimensional flow, the flow  past any section is constant. Then the WTE can be computed by inserting the effective conductivity, integrating, and using the boundary conditions  and  to determine the flow  and the constant of integration. \r\n\r\n","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: 836.3px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 418.15px; transform-origin: 407px 418.15px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 367.442px 8px; transform-origin: 367.442px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the flow per unit width and the elevation of the water table above the bottom of unconfined aquifer with two soil layers. The input to the function will be the positions where the water table elevation (WTE) is requested, the hydraulic conductivities of the two layers, the thickness of the bottom layer, the WTEs at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" alt=\"x = 0\" style=\"width: 36.5px; 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; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 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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\" width=\"39\" height=\"18\" alt=\"x = L\" style=\"width: 39px; 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; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and the length \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);\"\u003eL\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 44.3333px 8px; transform-origin: 44.3333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the aquifer.\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: 42.775px 8px; transform-origin: 42.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 85px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; 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 42.5px; text-align: left; transform-origin: 384px 42.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/52070-compute-the-effective-conductivity-of-a-heterogeneous-aquifer?s_tid=ta_cody_results\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 52070\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 306.625px 8px; transform-origin: 306.625px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e dealt with the effective conductivity of a heterogeneous confined aquifer. In that case, the effective conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"24.5\" height=\"20\" alt=\"Keff\" style=\"width: 24.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 330.125px 8px; transform-origin: 330.125px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for the case of flow through soil units in parallel could be computed by realizing that the head difference is same for the two soils and the total flow is the sum of the flows through the soils. The effective conductivity then is the weighted average of the individual conductivities, using the layer thicknesses as weights. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; 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 21.5px; text-align: left; transform-origin: 384px 21.5px; 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: 321.408px 8px; transform-origin: 321.408px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor an unconfined aquifer, the effective conductivity is computed in a similar way, but because the WTE \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);\"\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; perspective-origin: 36.95px 8px; transform-origin: 36.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e varies with \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-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 13.2167px 8px; transform-origin: 13.2167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, so does \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"24.5\" height=\"20\" alt=\"Keff\" style=\"width: 24.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-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 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"172\" height=\"35\" alt=\"Keff = (1/h)[(K2-K1) b2 + K1(h-b2)]\" style=\"width: 172px; height: 35px;\"\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: 90.8917px 8px; transform-origin: 90.8917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThen using Darcy’s law as in \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58966-compute-the-head-for-steady-1d-flow-in-a-homogeneous-aquifer\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 58966\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 73.5083px 8px; transform-origin: 73.5083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, one can write the flow \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);\"\u003eQ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 70.0167px 8px; transform-origin: 70.0167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e through the aquifer as\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"183\" height=\"35\" alt=\"Q = -Keff(dh/dx)A = -Keff(dh/dx)hw\" style=\"width: 183px; height: 35px;\"\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: 224.825px 8px; transform-origin: 224.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eConservation of mass says that in steady one-dimensional flow, the flow \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);\"\u003eQ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 152.058px 8px; transform-origin: 152.058px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e past any section is constant. Then the WTE can be computed by inserting the effective conductivity, integrating, and using the boundary conditions \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"61\" height=\"20\" alt=\"h(0) = h0\" style=\"width: 61px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-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 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"64.5\" height=\"20\" alt=\"h(L) = hL\" style=\"width: 64.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0.991667px 8px; transform-origin: 0.991667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to determine the flow \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);\"\u003eQ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 99.9583px 8px; transform-origin: 99.9583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and the constant of integration. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 346.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 173.35px; text-align: left; transform-origin: 384px 173.35px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"559\" height=\"341\" style=\"vertical-align: baseline;width: 559px;height: 341px\" 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alt=\"unconfined aquifer with soils in parallel\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L)\r\n%  h  = water table elevation above the aquifer bottom\r\n%  Qp = flow per unit width\r\n%  x  = locations where WTE is requested\r\n%  K1 = hydraulic conductivity of upper layer\r\n%  K2 = hydraulic conductivity of lower layer\r\n%  b2 = thickness of lower layer\r\n%  h0 = water table elevation on the left side (x = 0)\r\n%  hL = water table elevation on the right side (x = L)\r\n%  L  = length of the aquifer\r\n\r\n   Qp = mean([K1 K2])*(h0-hL)*b2/L;\r\n   h  = h0 + (hL-h0)*x/L;","test_suite":"%%\r\nx  = [0 251.884 503.2297 754.0371 1004.3062 1254.0371 1503.2297 1751.884 2000];\r\nK1 = 900;                       %  Hydraulic conductivity of upper layer (m/d)\r\nK2 = 8000;                      %  Hydraulic conductivity of lower layer (m/d)\r\nh0 = 37;                        %  Water table elevation on the left side (m)\r\nhL = 33;                        %  Water table elevation on the right side (m)\r\nL  = 2000;                      %  Length of aquifer (m)\r\nb2 = 25;                        %  Thickness of lower layer (m)\r\n[h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L);\r\nh_correct = 37:-0.5:33;\r\nQp_correct = 418;\r\nassert(abs(Qp-Qp_correct)\u003c1e-3)\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx  = [0 284.1463 558.5366 823.1707 1078.0488 1323.1707 1558.5366 1784.1463 2000];\r\nK1 = 8000;                      %  Hydraulic conductivity of upper layer (m/d)\r\nK2 = 900;                       %  Hydraulic conductivity of lower layer (m/d)\r\nh0 = 37;                        %  Water table elevation on the left side (m)\r\nhL = 33;                        %  Water table elevation on the right side (m)\r\nL  = 2000;                      %  Length of aquifer (m)\r\nb2 = 25;                        %  Thickness of lower layer (m)\r\n[h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L);\r\nh_correct = 37:-0.5:33;\r\nQp_correct = 205;\r\nassert(abs(Qp-Qp_correct)\u003c1e-3)\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx  = [0 230.8945 460.1048 687.631 913.4731 1137.631 1360.1048 1580.8945 1800];\r\nK1 = 4;                         %  Hydraulic conductivity of upper layer (m/d)\r\nK2 = 0.1;                       %  Hydraulic conductivity of lower layer (m/d)\r\nh0 = 50;                        %  Water table elevation on the left side (m)\r\nhL = 48;                        %  Water table elevation on the right side (m)\r\nL  = 1800;                      %  Length of aquifer (m)\r\nb2 = 16;                        %  Thickness of lower layer (m)\r\n[h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L);\r\nh_correct = 50:-0.25:48;\r\nQp_correct = 0.1484;\r\nassert(abs(Qp-Qp_correct)\u003c1e-3)\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx  = [0 225.2925 450.5015 675.6269 900.6686 1125.6269 1350.5015 1575.2925 1800];\r\nK1 = 0.1;                       %  Hydraulic conductivity of upper layer (m/d)\r\nK2 = 4;                         %  Hydraulic conductivity of lower layer (m/d)\r\nh0 = 50;                        %  Water table elevation on the left side (m)\r\nhL = 48;                        %  Water table elevation on the right side (m)\r\nL  = 1800;                      %  Length of aquifer (m)\r\nb2 = 16;                        %  Thickness of lower layer (m)\r\n[h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L);\r\nh_correct = 50:-0.25:48;\r\nQp_correct = 7.48e-2;\r\nassert(abs(Qp-Qp_correct)\u003c1e-3)\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx  = [0 2.6558 5.2033 7.6423 9.9729 12.1951 14.3089 16.3144 18.2114 20];\r\nK1 = 0.5;                       %  Hydraulic conductivity of upper layer (m/d)\r\nK2 = 0.1;                       %  Hydraulic conductivity of lower layer (m/d)\r\nh0 = 3.7;                       %  Water table elevation on the left side (m)\r\nhL = 2.8;                       %  Water table elevation on the right side (m)\r\nL  = 20;                        %  Length of aquifer (m)\r\nb2 = 1.5;                       %  Thickness of lower layer (m)\r\n[h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L);\r\nh_correct = 3.7:-0.1:2.8;\r\nQp_correct = 4.613e-2;\r\nassert(abs(Qp-Qp_correct)\u003c1e-3)\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx  = [0 2.6558 5.2033 7.6423 9.9729 12.1951 14.3089 16.3144 18.2114 20];\r\nK1 = 0.5;                       %  Hydraulic conductivity of upper layer (m/d)\r\nK2 = 0.1;                       %  Hydraulic conductivity of lower layer (m/d)\r\nh0 = 3.7;                       %  Water table elevation on the left side (m)\r\nhL = 2.8;                       %  Water table elevation on the right side (m)\r\nL  = 20;                        %  Length of aquifer (m)\r\nb2 = 1.5;                       %  Thickness of lower layer (m)\r\n[h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L);\r\nh_correct = 3.7:-0.1:2.8;\r\nQp_correct = 4.613e-2;\r\nassert(abs(Qp-Qp_correct)\u003c1e-3)\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx  = [0 2.3183 4.6126 6.8829 9.1291 11.3514 13.5495 15.7237 17.8739 20];\r\nK1 = 0.1;                       %  Hydraulic conductivity of upper layer (m/d)\r\nK2 = 0.5;                       %  Hydraulic conductivity of lower layer (m/d)\r\nh0 = 3.7;                       %  Water table elevation on the left side (m)\r\nhL = 2.8;                       %  Water table elevation on the right side (m)\r\nL  = 20;                        %  Length of aquifer (m)\r\nb2 = 1.5;                       %  Thickness of lower layer (m)\r\n[h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L);\r\nh_correct = 3.7:-0.1:2.8;\r\nQp_correct = 4.163e-2;\r\nassert(abs(Qp-Qp_correct)\u003c1e-3)\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx  = 0:325:1300;\r\nK1 = 5;                         %  Hydraulic conductivity of upper layer (m/d)\r\nK2 = 5;                         %  Hydraulic conductivity of lower layer (m/d)\r\nh0 = 10;                        %  Water table elevation on the left side (m)\r\nhL = 9;                         %  Water table elevation on the right side (m)\r\nL  = 1300;                      %  Length of aquifer (m)\r\nb2 = 4;                         %  Thickness of lower layer (m)\r\n[h,Qp] = unconfParallel(x,K1,K2,b2,h0,hL,L);\r\nh_correct = [10 9.7596 9.5131 9.2601 9];\r\nQp_correct = 3.65e-2;\r\nassert(abs(Qp-Qp_correct)\u003c1e-3)\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nfiletext = fileread('unconfParallel.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-09-30T19:04:22.000Z","deleted_by":null,"deleted_at":null,"solvers_count":2,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-09-30T15:05:42.000Z","updated_at":"2023-09-30T19:04:22.000Z","published_at":"2023-09-30T15:09:18.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to compute the flow per unit width and the elevation of the water table above the bottom of unconfined aquifer with two soil layers. The input to the function will be the positions where the water table elevation (WTE) is requested, the hydraulic conductivities of the two layers, the thickness of the bottom layer, the WTEs 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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = 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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and the length \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eL\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the aquifer.\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\u003eBackground \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/52070-compute-the-effective-conductivity-of-a-heterogeneous-aquifer?s_tid=ta_cody_results\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 52070\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e dealt with the effective conductivity of a heterogeneous confined aquifer. In that case, the effective conductivity \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Keff\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK_{eff}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for the case of flow through soil units in parallel could be computed by realizing that the head difference is same for the two soils and the total flow is the sum of the flows through the soils. The effective conductivity then is the weighted average of the individual conductivities, using the layer thicknesses as weights. \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 an unconfined aquifer, the effective conductivity is computed in a similar way, but because the WTE \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h\\\"/\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 varies 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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x\\\"/\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, so does \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Keff\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK_{eff}\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:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Keff = (1/h)[(K2-K1) b2 + K1(h-b2)]\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK_{eff} = \\\\frac{1}{h}[K_2 b_2 + K_1(h-b_2)]\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\u003eThen using Darcy’s law as in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58966-compute-the-head-for-steady-1d-flow-in-a-homogeneous-aquifer\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 58966\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, one can write the flow \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e through the aquifer as\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q = -Keff(dh/dx)A = -Keff(dh/dx)hw\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = -K_{eff} \\\\frac{dh}{dx} A =  -K_{eff} \\\\frac{dh}{dx} h w\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\u003eConservation of mass says that in steady one-dimensional flow, the flow \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e past any section is constant. Then the WTE can be computed by inserting the effective conductivity, integrating, and using the boundary conditions \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h(0) = h0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh(0) = h_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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h(L) = hL\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh(L) = h_L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to determine the flow \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and the constant of integration. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"341\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"559\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" 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the hydraulic conductivity with a falling-head permeameter","description":"A falling-head permeameter is another device for measuring the hydraulic conductivity  of a soil sample. In this problem the sample is placed in a cylinder of length  and cross-sectional area . Unlike the constant-head permeameter, in which the water level in a standpipe (or tube) is kept constant, the falling-head permeameter has a water level in the tube (of cross-sectional area ) that falls. In other words, the head difference , or the difference between the water levels in the tube and the outlet, decreases in time. \r\nThe hydraulic conductivity can be determined from a statement of conservation of mass (i.e., water volume) by equating the rate of change of volume in the tube to the flow out of the soil sample. The outflow can be computed with Darcy’s law, which states in general\r\n\r\nDarcy’s law applies when a Reynolds number based on the specific discharge  and representative diameter  of the soil grains is less than (approximately) 1—that is, \r\n\r\nwhere  is the kinematic viscosity of the fluid.\r\nDerive and solve an ordinary differential equation for the head difference . Then write a function that takes as input measurements of head difference as a function of time, as well as the soil’s porosity, diameter of the tube, and length and diameter of the cylinder holding the soil sample. The function should compute the hydraulic conductivity by fitting the solution to the ordinary differential equation to the data and using Darcy’s law regardless of its validity. Also return a flag indicating whether Darcy’s law is valid throughout the experiment; to assess the validity, relate the hydraulic conductivity to the representative grain diameter with the Kozeny-Carman equation, as described in the previous problem. Use  and .\r\n\r\n","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: 902px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 451px; transform-origin: 407px 451px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 107px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; 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 53.5px; text-align: left; transform-origin: 384px 53.5px; 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: 272.5px 8px; transform-origin: 272.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA falling-head permeameter is another device for measuring the hydraulic conductivity \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);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 103px 8px; transform-origin: 103px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of a soil sample. In this problem the sample is placed in a cylinder of length \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);\"\u003eL\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 82px 8px; transform-origin: 82px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and cross-sectional area \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"A_c\" style=\"width: 16.5px; height: 20px;\" width=\"16.5\" 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: 37px 8px; transform-origin: 37px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Unlike the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/55825-measure-the-hydraulic-conductivity-with-a-constant-head-permeameter\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003econstant-head permeameter\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.5px 8px; transform-origin: 11.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, in which the water level in a standpipe (or tube) is kept constant, the falling-head permeameter has a water level in the tube (of cross-sectional area \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAoCAYAAAAG0SEsAAAB30lEQVRYR+2Xyy4EQRSGZx5BeAKXtY1LImwseQC8gYiNjfuWYGFJPIFLbAkbFmyEBSsLlydg4wn8v5yTVGq6+rRq1R3JdHLSMz3V9fX5z3+qepqNGo9mjexGG16L+v9W9lHI9Yz4jJUtNvNpAA8RY4jbKuGdgN0hehAziKMq4YuAbQtwE+e1quDdAL05sAd8HqwKfgFQr0hOJh9kONZ0vzEc3X0jYDf7rirgr4AcS43vcR4QuSdxPo+RvmjmNNkyok+ypMOnBDiL80EqOFvrBbHiQP7E8UUy3xNHu66ewLUzyTba8RZcTebXtR/gR4FHO96Cs7Uo+0JGTel8PaIcnwfX9fsyYKYhXO8o4/gQXE22L62VxS/t+BBc3ZwnZ2nHZ8F1/bY2DS0LVbEcz7Ff/mKUBVc5LRNpJxCe5/jg3u/DdULWes5Ytdx241Du7+/OPZxrHqErIZU8QTzpGBfOya7FwUXg7kLD+ZYQO94D5yajcA5a9268wvdTLxsO4dgRxHiGMv49asrMNx5rkTGUN3/m7sdycAd0S/JzY0o414oPRLATUsLVE8GWTQnfQNarCL5e82h5xU4J13pvCdzvhKQ152sXzUbZdxEt/2xSZm62QhtuSpRiQFv2FKqac34DB/thKViN/8wAAAAASUVORK5CYII=\" alt=\"A_t\" style=\"width: 15.5px; height: 20px;\" width=\"15.5\" 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: 147px 8px; transform-origin: 147px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) that falls. In other words, the head difference \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);\"\u003eδ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 145px 8px; transform-origin: 145px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, or the difference between the water levels in the tube and the outlet, decreases in time. \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: 378px 8px; transform-origin: 378px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe hydraulic conductivity can be determined from a statement of conservation of mass (i.e., water volume) by equating the rate of change of volume in the tube to the flow out of the soil sample. The outflow can be computed with Darcy’s law, which states in general\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 35px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; 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 17.5px; text-align: left; transform-origin: 384px 17.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Q = -K(dh/dx)A\" style=\"width: 85px; height: 35px;\" width=\"85\" height=\"35\"\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: 246px 8px; transform-origin: 246px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eDarcy’s law applies when a Reynolds number based on the specific discharge \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"v = Q/A\" style=\"width: 57.5px; height: 18.5px;\" width=\"57.5\" 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: 93px 8px; transform-origin: 93px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and representative diameter \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);\"\u003ed\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-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 of the soil grains is less than (approximately) 1—that is, \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 35px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; 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 17.5px; text-align: left; transform-origin: 384px 17.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Re = vd/nu \u003c 1\" style=\"width: 79px; height: 35px;\" width=\"79\" height=\"35\"\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: 21px 8px; transform-origin: 21px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \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);\"\u003eν\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 116px 8px; transform-origin: 116px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the kinematic viscosity of the fluid.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 147px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 73.5px; text-align: left; transform-origin: 384px 73.5px; 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: 231.5px 8px; transform-origin: 231.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eDerive and solve an ordinary differential equation for the head difference \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);\"\u003eδ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-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. Then write a function that takes as input measurements of head difference as a function of time, as well as the soil’s porosity, diameter of the tube, and length and diameter of the cylinder holding the soil sample. The function should compute the hydraulic conductivity by fitting the solution to the ordinary differential equation to the data and using Darcy’s law regardless of its validity. Also return a flag indicating whether Darcy’s law is valid throughout the experiment; to assess the validity, relate the hydraulic conductivity to the representative grain diameter with the Kozeny-Carman equation, as described in the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/55825-measure-the-hydraulic-conductivity-with-a-constant-head-permeameter\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eprevious problem\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 18px 8px; transform-origin: 18px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Use \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"g = 981 cm/s^2\" style=\"width: 90.5px; height: 19.5px;\" width=\"90.5\" 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: 16px 8px; transform-origin: 16px 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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\" alt=\"nu = 10^{-2} cm^2/s\" style=\"width: 94px; height: 19.5px;\" width=\"94\" 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: 359px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 179.5px; text-align: left; transform-origin: 384px 179.5px; 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: 401px;height: 359px\" 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alt=\"falling-head permeameter\" data-image-state=\"image-loaded\" width=\"401\" height=\"359\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n)\r\n  K = f(delta,t,L,Dc,Dt);\r\n  isDLvalid = (Re \u003c 1);\r\nend","test_suite":"%%\r\nDc = 11.28;                                 %  Diameter of cylinder holding sample (cm)\r\nDt = 2.26;                                  %  Diameter of tube (cm)\r\nL  = 10;                                    %  Sample length (cm)\r\nn  = 0.15;                                  %  Porosity\r\nt  = [0 1 2 5 10 15 20 25]*86400;           %  Time (sec)\r\ndelta = [5 4.6 4.4 3.4 3.1 1.8 1.4 0.9];    %  Head difference (cm)\r\nK_correct = 3.08e-7;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%%\r\nDc = 8;                                                %  Diameter of cylinder holding sample (cm)\r\nDt = 2;                                                %  Diameter of tube (cm)\r\nL  = 15;                                               %  Sample length (cm)\r\nn  = 0.25;                                             %  Porosity\r\nt  = 0:60:420;                                         %  Time (sec)\r\ndelta = [25 20.63 17.03 14.05 11.60 9.57 7.9 6.52];    %  Head difference (cm)\r\nK_correct = 3e-3;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%%\r\nDc = 7.5;                                              %  Diameter of cylinder holding sample (cm)\r\nDt = 1.75;                                             %  Diameter of tube (cm)\r\nL  = 7.6;                                              %  Sample length (cm)\r\nn  = 0.2;                                              %  Porosity\r\nt  = [0 1.25 2.36 3.74 5.40 7.20 9.28 12.08];          %  Time (sec)\r\ndelta = 88.9:-10:18.9;                                 %  Head difference (cm)\r\nK_correct = 5.25e-2;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%%\r\nDc = 7.6;                                                               %  Diameter of cylinder holding sample (cm)\r\nDt = 1.5;                                                               %  Diameter of tube (cm)\r\nL  = 7.5;                                                               %  Sample length (cm)\r\nn  = 0.2;                                                               %  Porosity\r\nt  = [0 1.06 2.11 3.62 4.88 6.53 8.39 10.67 13.52 17.37];               %  Time (sec)\r\ndelta = [56.02 50.36 44.7 39.05 33.39 27.73 22.07 16.41 10.75 5.09];    %  Head difference (cm)\r\nK_correct = 3.89e-2;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%%\r\nDc = 7.6;                              %  Diameter of cylinder holding sample (cm)\r\nDt = 1.5;                              %  Diameter of tube (cm)\r\nL  = 7.5;                              %  Sample length (cm)\r\nn  = 0.2;                              %  Porosity\r\nt  = [0 2.28 5.13 8.98];               %  Time (sec)\r\ndelta = [22.07 16.41 10.75 5.09];      %  Head difference (cm)\r\nK_correct = 4.79e-2;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%%\r\nDc = 8;                                                      %  Diameter of cylinder holding sample (cm)\r\nDt = 2.5;                                                    %  Diameter of tube (cm)\r\nL  = 15;                                                     %  Sample length (cm)\r\nn  = 0.18;                                                   %  Porosity\r\nt  = 0:7200:50400;                                           %  Time (sec)\r\ndelta = [50 43.15 37.23 32.13 27.72 23.92 20.64 17.81];      %  Head difference (cm)\r\nK_correct = 2.99e-5;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2022-10-01T17:35:56.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-10-01T17:35:38.000Z","updated_at":"2026-02-10T14:28:46.000Z","published_at":"2022-10-01T17:35:57.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA falling-head permeameter is another device for measuring the hydraulic conductivity \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of a soil sample. In this problem the sample is placed in a cylinder of length \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eL\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and cross-sectional area \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"A_c\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA_c\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Unlike the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/55825-measure-the-hydraulic-conductivity-with-a-constant-head-permeameter\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003econstant-head permeameter\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, in which the water level in a standpipe (or tube) is kept constant, the falling-head permeameter has a water level in the tube (of cross-sectional area \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"A_t\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA_t\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e) that falls. In other words, the head difference \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"delta\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\delta\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, or the difference between the water levels in the tube and the outlet, decreases in time. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe hydraulic conductivity can be determined from a statement of conservation of mass (i.e., water volume) by equating the rate of change of volume in the tube to the flow out of the soil sample. The outflow can be computed with Darcy’s law, which states in general\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q = -K(dh/dx)A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = -K\\\\frac{dh}{dx}A\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\u003eDarcy’s law applies when a Reynolds number based on the specific discharge \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v = Q/A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev = Q/A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and representative diameter \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"d\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ed\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the soil grains is less than (approximately) 1—that is, \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Re = vd/nu \u0026lt; 1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eRe = \\\\frac{vd}{\\\\nu} \u0026lt; 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\u003ewhere \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"nu\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\nu\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the kinematic viscosity of the fluid.\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\u003eDerive and solve an ordinary differential equation for the head difference \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"delta\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\delta\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Then write a function that takes as input measurements of head difference as a function of time, as well as the soil’s porosity, diameter of the tube, and length and diameter of the cylinder holding the soil sample. The function should compute the hydraulic conductivity by fitting the solution to the ordinary differential equation to the data and using Darcy’s law regardless of its validity. Also return a flag indicating whether Darcy’s law is valid throughout the experiment; to assess the validity, relate the hydraulic conductivity to the representative grain diameter with the Kozeny-Carman equation, as described in the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/55825-measure-the-hydraulic-conductivity-with-a-constant-head-permeameter\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eprevious problem\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. Use \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"g = 981 cm/s^2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eg = 981\\\\rm\\\\,cm/s^2\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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"nu = 10^{-2} cm^2/s\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\nu = 10^{-2}\\\\rm\\\\,cm^2/s\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:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"359\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"401\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"middle\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"falling-head permeameter\\\"/\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 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