{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2025-12-14T01:33:56.000Z","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":"2025-12-14T00:00:00.000Z","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":52774,"title":"Easy Sequences 23: Hat Guessing Game!","description":"Consider the following Game Show:\r\nHats, with numbers written on each, were placed on the heads of the participants. Participants can see the numbers on all hats, except their own. Each participant were asked to add all the numbers they do see and write the sum on a piece of paper card. The participants were then asked to hide their hats and show only their cards with numbers, to you, the contestant. For a prize of a million dollars, you were asked to guess the numbers written on each participant's hat.\r\nAssuming that all sums are correct, will you be the next millionare? Let's find out...","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440000534057617px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 144px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eConsider the following Game Show:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eHats, with numbers written on each, were placed on the heads of the participants. Participants can see the numbers on all hats, except their own. Each participant were asked to add all the numbers they do see and write the sum on a piece of paper card. The participants were then asked to hide their hats and show only their cards with numbers, to you, the contestant. For a prize of a million dollars, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eyou were asked to guess the numbers written on each participant's hat.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eAssuming that all sums are correct, will you be the next millionare? Let's find out...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function nums = hatNumbers(sums)\r\n    nums = sums;\r\nend","test_suite":"%%\r\nsums = [667 658 645 688 629 625 713 630 637 678];\r\nnums_correct = [63 72 85 42 101 105 17 100 93 52];\r\nassert(isequal(hatNumbers(sums),nums_correct))\r\n%%\r\nsums = [1460 1459 1394 1416 1411 1428 1439 1394 1393 1395 1471 1470 ...\r\n        1469 1468 1395 1408 1407 1408 1395 1384 1439 1428 1406 1395 1460];\r\nnums_correct = [23 24 89 67 72 55 44 89 90 88 12 13 14 15 88 75 76 75 88 99 44 55 77 88 23];\r\nassert(isequal(hatNumbers(sums),nums_correct))\r\n%%\r\nsums = [ ...\r\n4892 4927 4901 4949 4896 4963 4939 4962 4957 4884 4897 4935 4871 4963 4923 4928 4890 4887 4948 4918 ...\r\n4922 4902 4896 4891 4939 4899 4901 4950 4955 4917 4871 4932 4908 4944 4891 4941 4916 4897 4877 4871 ...\r\n4912 4953 4952 4941 4882 4941 4885 4942 4874 4932 4947 4941 4905 4919 4931 4883 4908 4912 4875 4938 ...\r\n4891 4891 4928 4910 4959 4961 4913 4889 4873 4954 4910 4920 4965 4933 4950 4887 4935 4914 4950 4906 ...\r\n4940 4901 4898 4892 4921 4958 4944 4875 4951 4884 4913 4867 4959 4922 4956 4870 4966 4889 4885 4880 ...\r\n];\r\nnums = hatNumbers(sums);\r\nnums_stats = round([std(nums) mean(nums) mode(nums) median(nums)],4);\r\nassert(isequal(nums_stats,[28.8090 49.6700 26.0000 50.5000]))\r\n%%\r\nnums = randi(1000,1,1000).*97+2;\r\nsums = arrayfun(@(n) sum(nums(n-1:-1:1))+sum(nums(n+1:end)), 1:length(nums));\r\nassert(isequal(hatNumbers(sums),nums))\r\n%%\r\nfiletext = fileread('hatNumbers.m');\r\nblocked = {'solve' 'fsolve' 'dsolve' 'linsolve' 'mldivide' 'mrdivide' '\\' '/'};\r\nnot_allowed = any(arrayfun(@(s) contains(filetext, blocked{s}), 1:8));\r\nassert(~not_allowed)\r\n\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":29,"test_suite_updated_at":"2021-09-24T08:03:12.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-22T11:19:54.000Z","updated_at":"2025-12-07T16:32:52.000Z","published_at":"2021-09-24T08:03:12.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eConsider the following Game Show:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHats, with numbers written on each, were placed on the heads of the participants. Participants can see the numbers on all hats, except their own. Each participant were asked to add all the numbers they do see and write the sum on a piece of paper card. The participants were then asked to hide their hats and show only their cards with numbers, to you, the contestant. For a prize of a million dollars, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eyou were asked to guess the numbers written on each participant's hat.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAssuming that all sums are correct, will you be the next millionare? Let's find out...\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":52824,"title":"Easy Sequences 31: N-N's Sequence","description":"We define the N-N's Sequence, as the series of all positive integers in ascending order and with repetition, wherein any number  appears  times. The first few elements of this sequence are as follows:\r\n                        \r\nAs you can see,  appears  times,  appears  times,  appears  times, etc...\r\nWrite a function that output the number  occuping the  position.","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: 132px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 66px; transform-origin: 407px 66px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 376px 8px; transform-origin: 376px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWe define the N-N's Sequence, as the series of all positive integers in ascending order and with repetition, wherein any number \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: 30px 8px; transform-origin: 30px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e appears \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: 192.5px 8px; transform-origin: 192.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e times. The first few elements of this sequence are as follows:\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: 48px 8px; transform-origin: 48px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                        \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 518px; height: 18.5px;\" width=\"518\" height=\"18.5\"\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: 52.5px 8px; transform-origin: 52.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAs you can see, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e4\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 30px 8px; transform-origin: 30px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e appears \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e4\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 22.5px 8px; transform-origin: 22.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e times, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e7\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 30px 8px; transform-origin: 30px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e appears \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e7\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 22.5px 8px; transform-origin: 22.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e times, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAABJUlEQVRYhe2WbRGEIBCGnw42oIAFTGACG9jABlYwgxHocBXMYAXvh3ByzqGwfowzxzvDD5nd5WGXFSApKelZUkAm8CnMOBWkAyYgD/SpgAHogcb4j0BN/KY+yhwQO0KArE+7mq/NvJZAlcw7K4FXBJBddPAsqj2wUWoCgTLmsmwtWAXGOgWoduxKj41ybMRZCgVyS6s27GwWh6uBrM24E08TBn4IKBcC+Up7GKgQAtV3APUR8W4B0jvx2ruBHlEyhECin2Mo0BAJNHJh28P3RRySyZcEJgbIPUeVx8b9X4nOTwwQLOXwdZrtMN9r4HQgxXJXrW3d14D4BalYDutk4PaUm4VHB0qxXL6i60Ixp1f/GB379c+MTW98evMt6qqkpKSkv9UbptKi8sNv99EAAAAASUVORK5CYII=\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 30px 8px; transform-origin: 30px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e appears \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAABJUlEQVRYhe2WbRGEIBCGnw42oIAFTGACG9jABlYwgxHocBXMYAXvh3ByzqGwfowzxzvDD5nd5WGXFSApKelZUkAm8CnMOBWkAyYgD/SpgAHogcb4j0BN/KY+yhwQO0KArE+7mq/NvJZAlcw7K4FXBJBddPAsqj2wUWoCgTLmsmwtWAXGOgWoduxKj41ybMRZCgVyS6s27GwWh6uBrM24E08TBn4IKBcC+Up7GKgQAtV3APUR8W4B0jvx2ruBHlEyhECin2Mo0BAJNHJh28P3RRySyZcEJgbIPUeVx8b9X4nOTwwQLOXwdZrtMN9r4HQgxXJXrW3d14D4BalYDutk4PaUm4VHB0qxXL6i60Ixp1f/GB379c+MTW98evMt6qqkpKSkv9UbptKi8sNv99EAAAAASUVORK5CYII=\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 38px 8px; transform-origin: 38px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e times, etc...\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: 140.5px 8px; transform-origin: 140.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eWrite a function that output the number \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: 50px 8px; transform-origin: 50px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e occuping the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 26.5px; height: 18px;\" width=\"26.5\" 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: 32.5px 8px; transform-origin: 32.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e position.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function n = nnPos(k)\r\n    n = k;\r\nend","test_suite":"%%\r\nk = 1;\r\nn_correct = 1;\r\nassert(isequal(nnPos(k),n_correct))\r\n%%\r\nk = 20;\r\nn_correct = 6;\r\nassert(isequal(nnPos(k),n_correct))\r\n%%\r\nk = 1000;\r\nn_correct = 45;\r\nassert(isequal(nnPos(k),n_correct))\r\n%%\r\nks = 12345:12345:246900;\r\nns_correct = [157 222 272 314 351 385 416 444 471 497 521 544 567 588 609 629 648 667 685 703];\r\nassert(isequal(nnPos(ks),ns_correct))\r\n%%\r\nk = 2000000;\r\nn_correct = 2000;\r\nassert(isequal(nnPos(k),n_correct))\r\n%%\r\nk = 123456789;\r\nn_correct = 15713;\r\nassert(isequal(nnPos(k),n_correct))\r\n%%\r\nk = intmax;\r\nn_correct = 65536;\r\nassert(isequal(nnPos(k),n_correct))\r\n%%\r\nk = intmax('int64');\r\nn_correct = 4294967296;\r\nassert(isequal(nnPos(k),n_correct))","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":14,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-28T18:15:10.000Z","updated_at":"2025-12-22T17:00:59.000Z","published_at":"2021-09-28T18:16:17.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWe define the N-N's Sequence, as the series of all positive integers in ascending order and with repetition, wherein any number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e appears \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e times. The first few elements of this sequence are as follows:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                        \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\left \\\\{ 1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8 ...\\\\right \\\\} \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\u003eAs you can see, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e appears \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e times, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e7\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e appears \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e7\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e times, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e10\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e appears \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e10\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e times, etc...\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\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\u003eWrite a function that output the number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e occuping the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ek\\\\mbox{-}th\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e position.\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":52779,"title":"Easy Sequences 25: Product of Series","description":"The function 'P(n)' is defined as the series product:\r\n                            \r\nwhere 'T(n)' is the triangular sum:\r\n                            \r\nIt can be proven that P(n) is convergent, with:\r\n                            \r\nWrite a function that outputs the integer value of 'n' when '3 - P(n)' first becomes less than or equal to a given tolerance 't'.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440000534057617px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 256px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eThe function 'P(n)' is defined as the series product:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 46px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e                            \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-17px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"124.5\" height=\"46\" style=\"width: 124.5px; height: 46px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003ewhere 'T(n)' is the triangular sum:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e                            \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"184\" height=\"19\" style=\"width: 184px; height: 19px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eIt can be proven that P(n) is convergent, with:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 30px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e                            \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"83.5\" height=\"29\" style=\"width: 83.5px; height: 29px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eWrite a function that outputs the integer value of 'n' when '3 - P(n)' \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; text-decoration: underline; text-decoration-line: underline; \"\u003efirst\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e becomes less than or equal to a given tolerance 't'.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function n = N(t)\r\n    n = N(t); \r\nend","test_suite":"%%\r\nt = 1;\r\nn_correct = 4;\r\nassert(isequal(N(t),n_correct))\r\n%%\r\nt = 0.5;\r\nn_correct = 10;\r\nassert(isequal(N(t),n_correct))\r\n%%\r\nt = 0.01;\r\nn_correct = 598;\r\nassert(isequal(N(t),n_correct))\r\n%%\r\nt = 0.007;\r\nn_correct = 856;\r\nassert(isequal(N(t),n_correct))\r\n%%\r\nt = 0.00032;\r\nn_correct = 18748;\r\nassert(isequal(N(t),n_correct))\r\n%%\r\nts = 10.^[-1:-1:-8]*3;\r\nns = arrayfun(@(t) N(t),ts); \r\nss_correct = 222222205;\r\nassert(isequal(sum(ns),ss_correct))\r\n%%\r\nt = 0.0000000026;\r\nn_correct = 2307692306;\r\nassert(isequal(N(t),n_correct))\r\n%%\r\nfiletext = fileread('n.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":18,"test_suite_updated_at":"2021-09-24T21:04:32.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-24T20:12:14.000Z","updated_at":"2025-12-22T16:55:44.000Z","published_at":"2021-09-24T20:44:19.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe function 'P(n)' is defined as the series product:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eP(n)=\\\\prod_{k=2}^{n}\\\\frac{T(k)}{T(k)-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 'T(n)' is the triangular sum:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eT(n) = 1 + 2 + 3 + 4 + ...+n\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\u003eIt can be proven that P(n) is convergent, with:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\lim_{n\\\\rightarrow \\\\infty}P(n) = 3\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eWrite a function that outputs the integer value of 'n' when '3 - P(n)' \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003efirst\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e becomes less than or equal to a given tolerance 't'.\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":52679,"title":"Easy Sequences 16: Volume of Embedded Octahedron","description":"An octahedron (not regular) is formed by joining the centers of the faces of a rectangular parallelepiped (see below figure).\r\n                                       \r\nGiven the dimensions of the rectangular parallelepiped (length, width and height), calculate the volume of the embedded octahedron. Please output the integer part of the volume in modulo 1000003.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440000534057617px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 247px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eAn octahedron (not regular) is formed by joining the centers of the faces of a rectangular parallelepiped (see below figure).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 166px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e                                       \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"311\" height=\"166\" style=\"vertical-align: middle;width: 311px;height: 166px\" 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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eGiven the dimensions of the rectangular parallelepiped (length, width and height), calculate the volume of the embedded octahedron. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003ePlease output the integer part of the volume in modulo 1000003.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function v = volOcta(l,w,h)\r\n  y = x;\r\nend","test_suite":"%%\r\nl = 1234; w = 4567; h = 8910;\r\ny_correct = 956726;\r\nassert(isequal(volOcta(l,w,h),y_correct))\r\n%%\r\nl = 100000; w = 200000; h = 300000;\r\ny_correct = 9000;\r\nassert(isequal(volOcta(l,w,h),y_correct))\r\n%%\r\nls = 12:12:1440; ws = ls + 23; hs = ls .* 23;\r\ny_correct = 59634083;\r\nassert(isequal(sum(arrayfun(@(i) volOcta(ls(i),ws(i),hs(i)),1:length(ls))),y_correct))\r\n%%\r\nl = 12345678900; w = 353535353535; h = 12345678900;\r\ny_correct = 262344;\r\nassert(isequal(volOcta(l,w,h),y_correct))\r\n%%\r\nl = 14141414141414; w = 15151515151515; h = 16161616161616;\r\ny_correct = 541360;\r\nassert(isequal(volOcta(l,w,h),y_correct))\r\n%%\r\nfiletext = fileread('volOcta.m');\r\nnot_allowed = contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":10,"test_suite_updated_at":"2021-09-11T14:45:58.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-09T20:56:03.000Z","updated_at":"2025-12-22T16:21:58.000Z","published_at":"2021-09-09T20:56:03.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn octahedron (not regular) is formed by joining the centers of the faces of a rectangular parallelepiped (see below figure).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                       \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"166\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"311\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"middle\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven the dimensions of the rectangular parallelepiped (length, width and height), calculate the volume of the embedded octahedron. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ePlease output the integer part of the volume in modulo 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Sequences 13: Average Speed of Spaceship","description":"A certain alien spaceship is capable of traveling at extremely high velocities and is able to change speed instantaneously. The ship travels from two points 's' km apart, at a speed of 'v' km/hr. After reaching its destination the spaceship immediately heads back to its starting point at the speed of 'v-1' km.hr. After reaching the starting point it again goes back at a speed of 'v-2'. This \"back and forth' continues, reducing the ship's speed by 1 km/hr in each turn around. \r\nGiven an integer initial velocity, find the average speed of the spaceship througout its entire journey, until it finally stops. Please round-off your answer to the nearest integer.\r\nNOTE: Use clasical physics only. Ignore any relativistic effects.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440000534057617px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 165px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; 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; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eA certain alien spaceship is capable of traveling at extremely high velocities and is able to change speed instantaneously. The ship travels from two points 's' km apart, at a speed of 'v' km/hr. After reaching its destination the spaceship immediately heads back to its starting point at the speed of 'v-1' km.hr. After reaching the starting point it again goes back at a speed of 'v-2'. This \"back and forth' continues, reducing the ship's speed by 1 km/hr in each turn around.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eGiven an integer initial velocity, find the average speed of the spaceship througout its entire journey, until it finally stops.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e Please round-off your answer to the nearest integer.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eNOTE: Use clasical physics only. Ignore any relativistic effects.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = mean_velocity(s,v)\r\n  y = x;\r\nend","test_suite":"%%\r\ns = 10000;\r\nv = 10000;\r\nv_correct = 1022;\r\nassert(isequal(mean_velocity(s,v),v_correct))\r\n%%\r\ns = 1234567;\r\nv = 1234567;\r\nv_correct = 84539;\r\nassert(isequal(mean_velocity(s,v),v_correct))\r\n%%\r\ns = '1234567891011121314151617181920';\r\nv = 123456789;\r\nv_correct = 6427156;\r\nassert(isequal(mean_velocity(s,v),v_correct))\r\n%%\r\ns = 1e100;\r\nvs = 1:1000;\r\nv_correct = 72076;\r\nassert(isequal(sum(arrayfun(@(v) mean_velocity(s,v),vs)),v_correct))\r\n%%\r\ns = intmax;\r\nv = double(intmax);\r\nv_correct = 97326319;\r\nassert(isequal(mean_velocity(s,v),v_correct))\r\n%%\r\ns = intmax('int64')/100;\r\nv = double(intmax('int64'))/100;\r\nv_correct = 2326765408587627;\r\nassert(isequal(mean_velocity(s,v),v_correct))","published":true,"deleted":false,"likes_count":2,"comments_count":4,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":17,"test_suite_updated_at":"2021-09-05T14:22:29.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-05T08:20:36.000Z","updated_at":"2025-12-22T16:16:27.000Z","published_at":"2021-09-05T08:20:36.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA certain alien spaceship is capable of traveling at extremely high velocities and is able to change speed instantaneously. The ship travels from two points 's' km apart, at a speed of 'v' km/hr. After reaching its destination the spaceship immediately heads back to its starting point at the speed of 'v-1' km.hr. After reaching the starting point it again goes back at a speed of 'v-2'. This \\\"back and forth' continues, reducing the ship's speed by 1 km/hr in each turn around.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven an integer initial velocity, find the average speed of the spaceship througout its entire journey, until it finally stops.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e Please round-off your answer to the nearest integer.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eNOTE: Use clasical physics only. Ignore any relativistic effects.\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":52689,"title":"Easy Sequences 18: Set Bits of Triple Summations","description":"The function S(n) is defined by the following triple summations:\r\n                            \r\nThe double brackets mean that the output of the triple summations is being rounded-off to the nearest integer. Write the function 'bitS(n)', which is the number of bits set in the binary representation of S(n).","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440000534057617px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 127px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eThe function S(n) is defined by the following triple summations:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 46px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e      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\" width=\"186\" height=\"46\" style=\"width: 186px; height: 46px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eThe double brackets mean that the output of the triple summations is being rounded-off to the nearest integer. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eWrite the function 'bitS(n)', which is the number of \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.quora.com/What-do-we-mean-by-a-set-bit\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ebits set\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e in the binary representation of S(n).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = bitS(n)\r\n  y = x;\r\nend","test_suite":"%%\r\nn = 100;\r\ny_correct = 7;\r\nassert(isequal(bitS(n),y_correct))\r\n%%\r\nn = 10000;\r\ny_correct = 17;\r\nassert(isequal(bitS(n),y_correct))\r\n%%\r\nn = 1000000;\r\ny_correct = 19;\r\nassert(isequal(bitS(n),y_correct))\r\n%%\r\nn = 100000000;\r\ny_correct = 25;\r\nassert(isequal(bitS(n),y_correct))\r\n%%\r\nn = 12345678910;\r\ny_correct = 30;\r\nassert(isequal(bitS(n),y_correct))\r\n%%\r\nns = 1000:2000;\r\ny = sum(arrayfun(@(n) bitS(n),ns))\r\ny_correct = 10663;\r\nassert(isequal(y,y_correct))\r\n%%\r\nn = intmax-123;\r\ny_correct = 33;\r\nassert(isequal(bitS(n),y_correct))\r\n%%\r\nn = intmax('int64')-123456;\r\ny_correct = 74;\r\nassert(isequal(bitS(n),y_correct))","published":true,"deleted":false,"likes_count":2,"comments_count":5,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":8,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-12T09:14:05.000Z","updated_at":"2025-12-22T16:36:34.000Z","published_at":"2021-09-12T10:34:16.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe function S(n) is defined by the following triple summations:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eS(n)=\\\\left [\\\\sum_{k=2}^{n}\\\\sum_{j=2}^{k} \\\\sum_{i=2}^{j}\\\\frac{1}{\\\\log {_{i}}{\\\\left ( j! \\\\right )}}  \\\\right ]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe double brackets mean that the output of the triple summations is being rounded-off to the nearest integer. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eWrite the function 'bitS(n)', which is the number of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.quora.com/What-do-we-mean-by-a-set-bit\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ebits set\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e in the binary representation of S(n).\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":52809,"title":"Easy Sequences 28: Sum of Radicals of Integers","description":"The radical of a positive integer  is defined as the product of the distinct prime numbers dividing . For example, the distinct prime factors of  is , therefore the radical of  is . Similarly, the radicals of ,  and  are ,  and , respectively, The numberis considered to be the radical of itself.\r\nGiven a limit , find the sum of the radicals of all positive integers . \r\nFor , the radicals are: . Therefore, the output should be '41'.","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: 123px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 61.5px; transform-origin: 407px 61.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 14.5px 8px; transform-origin: 14.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Radical_of_an_integer\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eradical of a positive integer\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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \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: 201px 8px; transform-origin: 201px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is defined as the product of the distinct prime numbers dividing \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: 59px 8px; transform-origin: 59px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. For example, the distinct prime factors of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADMAAAAkCAYAAAAkcgIJAAABYklEQVRYhe2XUbGDMBBFjwccxAAGqgAFOMBBHdQCGpCAh1pAAxb6PkgmGR4hu9n+NWeGjzJ7kr2Qpik0Go3GL+KArsJ5+Ktmvlr3dtAZ+AC90BmBDViAp/d3YKL8QCxulo4YIlySMMF5ne5P/v5605TFzTJwPJUBeCMPEybdMpOumWatrpgnsjAdx3K4m3DMjGVxVUjDTEndkKlxSU3atMVVIQ2TLkd3UxfewPYlV4U0TKjZC+Ot/G/c4qqQhOkrGxqMrhpJmEdlQ5PRVaMNsyjGO4fRumq0YdbCeC/yYbSump9bZlQ2FMazuCqkYTZlQztxe7W4KqRhZmFdqHl/yVUhDZOu/TFTk/6mpGve4qqQhoG4DHK7UtiNrk7GFleMJowjnp/OtenJ+Orfo8UV4Yhfzg9HsBK9n3hPmnLEw+TdMcTiZnEcr3W9uGbKa7bzNYt3Fv9ZsgNZ3Eaj0Wg0GiX+AJDSC8VPsu1pAAAAAElFTkSuQmCC\" style=\"width: 25.5px; height: 18px;\" width=\"25.5\" 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: 9px 8px; transform-origin: 9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 35.5px; height: 18.5px;\" width=\"35.5\" 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: 78px 8px; transform-origin: 78px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, therefore the radical of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 25.5px; height: 18px;\" width=\"25.5\" 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: 9px 8px; transform-origin: 9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAABJUlEQVRYhe2WbRGEIBCGnw42oIAFTGACG9jABlYwgxHocBXMYAXvh3ByzqGwfowzxzvDD5nd5WGXFSApKelZUkAm8CnMOBWkAyYgD/SpgAHogcb4j0BN/KY+yhwQO0KArE+7mq/NvJZAlcw7K4FXBJBddPAsqj2wUWoCgTLmsmwtWAXGOgWoduxKj41ybMRZCgVyS6s27GwWh6uBrM24E08TBn4IKBcC+Up7GKgQAtV3APUR8W4B0jvx2ruBHlEyhECin2Mo0BAJNHJh28P3RRySyZcEJgbIPUeVx8b9X4nOTwwQLOXwdZrtMN9r4HQgxXJXrW3d14D4BalYDutk4PaUm4VHB0qxXL6i60Ixp1f/GB379c+MTW98evMt6qqkpKSkv9UbptKi8sNv99EAAAAASUVORK5CYII=\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 80px 8px; transform-origin: 80px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Similarly, the radicals of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAAA6klEQVRYhe2VWxGDMBBFj4c4wAAGogAFdRAHOMACGpCAByxUQy20Hwl0y0BLk5ZlhtyZ/UgmXM5uHgtZWVnHUgGYhO8NYBM9JpAWuANlgs+Q6mEEyBixZnWqRxVMKp6ZxZpZfpPUpJTsDHADuqMAdUDPa5XUgBxwxV8KdaASv1U2jNWBBqARY1WgJgDJB1ANyOK3ar5OBWi84m4FdHegLsSSdgdy+OpU4efzcMLjIuajGu0WoF6s+SaiqrUFqAlQayH74SDmi38BfZL6w3geoALfIEezWguoYP2gtiw/fu9UkniQs7Kysk6pB0ucjplAUbTSAAAAAElFTkSuQmCC\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 25.5px; height: 18px;\" width=\"25.5\" 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: 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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\" style=\"width: 33px; height: 18px;\" width=\"33\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 14.5px 8px; transform-origin: 14.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAAA6klEQVRYhe2VWxGDMBBFj4c4wAAGogAFdRAHOMACGpCAByxUQy20Hwl0y0BLk5ZlhtyZ/UgmXM5uHgtZWVnHUgGYhO8NYBM9JpAWuANlgs+Q6mEEyBixZnWqRxVMKp6ZxZpZfpPUpJTsDHADuqMAdUDPa5XUgBxwxV8KdaASv1U2jNWBBqARY1WgJgDJB1ANyOK3ar5OBWi84m4FdHegLsSSdgdy+OpU4efzcMLjIuajGu0WoF6s+SaiqrUFqAlQayH74SDmi38BfZL6w3geoALfIEezWguoYP2gtiw/fu9UkniQs7Kysk6pB0ucjplAUbTSAAAAAElFTkSuQmCC\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e5\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-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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\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 83.5px 8px; transform-origin: 83.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, respectively, The number\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e1\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 121.5px 8px; transform-origin: 121.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eis considered to be the radical of itself.\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: 45.5px 8px; transform-origin: 45.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eGiven a limit \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: 182.5px 8px; transform-origin: 182.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, find the sum of the radicals of all positive integers \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 25px; height: 18px;\" width=\"25\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 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: 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: 13px 8px; transform-origin: 13px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 44px; height: 18px;\" width=\"44\" 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: 57px 8px; transform-origin: 57px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the radicals are: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 152.5px; height: 18.5px;\" width=\"152.5\" 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: 39.5px 8px; transform-origin: 39.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Therefore, \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: 67px 8px; transform-origin: 67px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"text-decoration: underline; text-decoration-line: underline; \"\u003ethe output should be \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: 11px 8px; transform-origin: 11px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003e'41'\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: 2px 8px; transform-origin: 2px 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 s = sumRadicals(n)\r\n    s = 41;\r\nend","test_suite":"%%\r\nn = 10;\r\ns_correct = 41;\r\nassert(isequal(sumRadicals(n),s_correct))\r\n%%\r\nn = 100;\r\ns_correct = 3512;\r\nassert(isequal(sumRadicals(n),s_correct))\r\n%%\r\nn = 1000;\r\ns_correct = 351964;\r\nassert(isequal(sumRadicals(n),s_correct))\r\n%%\r\nns = 1000:5000;\r\nss = arrayfun(@(n) sumRadicals(n),ns);\r\nss_correct = [14572533416 1407530 2206262 3168720 4321316 5635156 7128944 8813000 2478567];\r\nassert(isequal([sum(ss) ss(1000:500:4000) floor(std(ss))],ss_correct))\r\n%%\r\nn = 10000;\r\ns_correct = 35252550;\r\nassert(isequal(sumRadicals(n),s_correct))\r\n%%\r\nn = 100000;\r\ns_correct = 3522204030;\r\nassert(isequal(sumRadicals(n),s_correct))\r\n%%\r\nn = 1000000;\r\ns_correct = 352218412502;\r\nassert(isequal(sumRadicals(n),s_correct))\r\n%%\r\nfiletext = fileread('sumRadicals.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":10,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-27T09:04:12.000Z","updated_at":"2025-12-22T17:26:46.000Z","published_at":"2021-09-27T10:53:42.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Radical_of_an_integer\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eradical of a positive integer\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is defined as the product of the distinct prime numbers dividing \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. For example, the distinct prime factors of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e100\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e[2\\\\ 5]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, therefore the radical of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e100\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e10\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Similarly, the radicals of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e14\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e125\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e1344\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e are \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e14\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e42\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, respectively, The number\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eis considered to be the radical of itself.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven a limit \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, find the sum of the radicals of all positive integers \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\leq n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en = 10\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the radicals are: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e[1, 2, 3, 2, 5, 6, 7, 2, 3, 10]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Therefore, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ethe output should be \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e'41'\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\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":52814,"title":"Easy Sequences 27: Product of Radicals of Integers","description":"The radical of a positive integer  is defined as the product of the distinct prime numbers dividing . For example, the distinct prime factors of  is , therefore the radical of  is . Similarly, the radicals of ,  and  are ,  and , respectively, The numberis considered to be the radical of itself.\r\nGiven a limit , find the product of the radicals of all positive integers . Since, the radical product can get huge fast, please output only the number of digits of the product.\r\nFor , the radicals are: , their product is . Therefore, the output should be '6' digits","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: 144px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 72px; transform-origin: 407px 72px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 14.5px 8px; transform-origin: 14.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Radical_of_an_integer\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eradical of a positive integer\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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \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: 201px 8px; transform-origin: 201px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is defined as the product of the distinct prime numbers dividing \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: 59px 8px; transform-origin: 59px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. For example, the distinct prime factors of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADMAAAAkCAYAAAAkcgIJAAABYklEQVRYhe2XUbGDMBBFjwccxAAGqgAFOMBBHdQCGpCAh1pAAxb6PkgmGR4hu9n+NWeGjzJ7kr2Qpik0Go3GL+KArsJ5+Ktmvlr3dtAZ+AC90BmBDViAp/d3YKL8QCxulo4YIlySMMF5ne5P/v5605TFzTJwPJUBeCMPEybdMpOumWatrpgnsjAdx3K4m3DMjGVxVUjDTEndkKlxSU3atMVVIQ2TLkd3UxfewPYlV4U0TKjZC+Ot/G/c4qqQhOkrGxqMrhpJmEdlQ5PRVaMNsyjGO4fRumq0YdbCeC/yYbSump9bZlQ2FMazuCqkYTZlQztxe7W4KqRhZmFdqHl/yVUhDZOu/TFTk/6mpGve4qqQhoG4DHK7UtiNrk7GFleMJowjnp/OtenJ+Orfo8UV4Yhfzg9HsBK9n3hPmnLEw+TdMcTiZnEcr3W9uGbKa7bzNYt3Fv9ZsgNZ3Eaj0Wg0GiX+AJDSC8VPsu1pAAAAAElFTkSuQmCC\" style=\"width: 25.5px; height: 18px;\" width=\"25.5\" 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: 9px 8px; transform-origin: 9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 35.5px; height: 18.5px;\" width=\"35.5\" 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: 78px 8px; transform-origin: 78px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, therefore the radical of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 25.5px; height: 18px;\" width=\"25.5\" 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: 9px 8px; transform-origin: 9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAABJUlEQVRYhe2WbRGEIBCGnw42oIAFTGACG9jABlYwgxHocBXMYAXvh3ByzqGwfowzxzvDD5nd5WGXFSApKelZUkAm8CnMOBWkAyYgD/SpgAHogcb4j0BN/KY+yhwQO0KArE+7mq/NvJZAlcw7K4FXBJBddPAsqj2wUWoCgTLmsmwtWAXGOgWoduxKj41ybMRZCgVyS6s27GwWh6uBrM24E08TBn4IKBcC+Up7GKgQAtV3APUR8W4B0jvx2ruBHlEyhECin2Mo0BAJNHJh28P3RRySyZcEJgbIPUeVx8b9X4nOTwwQLOXwdZrtMN9r4HQgxXJXrW3d14D4BalYDutk4PaUm4VHB0qxXL6i60Ixp1f/GB379c+MTW98evMt6qqkpKSkv9UbptKi8sNv99EAAAAASUVORK5CYII=\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 80px 8px; transform-origin: 80px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Similarly, the radicals of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAAA6klEQVRYhe2VWxGDMBBFj4c4wAAGogAFdRAHOMACGpCAByxUQy20Hwl0y0BLk5ZlhtyZ/UgmXM5uHgtZWVnHUgGYhO8NYBM9JpAWuANlgs+Q6mEEyBixZnWqRxVMKp6ZxZpZfpPUpJTsDHADuqMAdUDPa5XUgBxwxV8KdaASv1U2jNWBBqARY1WgJgDJB1ANyOK3ar5OBWi84m4FdHegLsSSdgdy+OpU4efzcMLjIuajGu0WoF6s+SaiqrUFqAlQayH74SDmi38BfZL6w3geoALfIEezWguoYP2gtiw/fu9UkniQs7Kysk6pB0ucjplAUbTSAAAAAElFTkSuQmCC\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 25.5px; height: 18px;\" width=\"25.5\" 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: 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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\" style=\"width: 33px; height: 18px;\" width=\"33\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 14.5px 8px; transform-origin: 14.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAAA6klEQVRYhe2VWxGDMBBFj4c4wAAGogAFdRAHOMACGpCAByxUQy20Hwl0y0BLk5ZlhtyZ/UgmXM5uHgtZWVnHUgGYhO8NYBM9JpAWuANlgs+Q6mEEyBixZnWqRxVMKp6ZxZpZfpPUpJTsDHADuqMAdUDPa5XUgBxwxV8KdaASv1U2jNWBBqARY1WgJgDJB1ANyOK3ar5OBWi84m4FdHegLsSSdgdy+OpU4efzcMLjIuajGu0WoF6s+SaiqrUFqAlQayH74SDmi38BfZL6w3geoALfIEezWguoYP2gtiw/fu9UkniQs7Kysk6pB0ucjplAUbTSAAAAAElFTkSuQmCC\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e5\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-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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\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 83.5px 8px; transform-origin: 83.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, respectively, The number\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e1\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 121.5px 8px; transform-origin: 121.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eis considered to be the radical of itself.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 45.5px 8px; transform-origin: 45.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eGiven a limit \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: 195.5px 8px; transform-origin: 195.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, find the product of the radicals of all positive integers \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 25px; height: 18px;\" width=\"25\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 110px 8px; transform-origin: 110px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e Since, the radical product can get huge fast, please output only the number of digits of the product.\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: 13px 8px; transform-origin: 13px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 44px; height: 18px;\" width=\"44\" 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: 57px 8px; transform-origin: 57px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the radicals are: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 152.5px; height: 18.5px;\" width=\"152.5\" 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: 53px 8px; transform-origin: 53px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, their product is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 54.5px; height: 18px;\" width=\"54.5\" 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: 39.5px 8px; transform-origin: 39.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Therefore, \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: 68.5px 8px; transform-origin: 68.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"text-decoration: underline; text-decoration-line: underline; \"\u003ethe output should be '\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: 5.5px 8px; transform-origin: 5.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003e6'\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: 18.5px 8px; transform-origin: 18.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e digits\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function r = prodRadicals(n)\r\n    r = 6;\r\nend","test_suite":"%%\r\nn = 10;\r\nr_correct = 6;\r\nassert(isequal(prodRadicals(n),r_correct))\r\n%%\r\nn = 1000;\r\nr_correct = 2263;\r\nassert(isequal(prodRadicals(n),r_correct))\r\n%%\r\nns = 10000:50000;\r\nrs = arrayfun(@(n) prodRadicals(n),ns);\r\nss_correct = [4503407257 70876 91001 111568 132490 153727 175243 196990 47696];\r\nassert(isequal([sum(rs) rs(10000:5000:40000) floor(std(rs))],ss_correct))\r\n%%\r\nn = 1000000;\r\nr_correct = 5238328;\r\nassert(isequal(prodRadicals(n),r_correct))\r\n%%\r\nn = 1000000000;\r\nr_correct = 8237674403;\r\nassert(isequal(prodRadicals(n),r_correct))\r\n%%\r\nn = intmax;\r\nr_correct = 18403071064;\r\nassert(isequal(prodRadicals(n),r_correct))\r\n%%\r\nfiletext = fileread('prodRadicals.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":9,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-27T09:04:14.000Z","updated_at":"2025-12-25T20:09:26.000Z","published_at":"2021-09-27T10:28:34.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Radical_of_an_integer\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eradical of a positive integer\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is defined as the product of the distinct prime numbers dividing \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. For example, the distinct prime factors of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e100\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e[2\\\\ 5]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, therefore the radical of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e100\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e10\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Similarly, the radicals of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e14\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e125\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e1344\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e are \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e14\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e42\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, respectively, The number\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eis considered to be the radical of itself.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven a limit \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, find the product of the radicals of all positive integers \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\leq n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e Since, the radical product can get huge fast, please output only the number of digits of the product.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\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 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en = 10\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the radicals are: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e[1, 2, 3, 2, 5, 6, 7, 2, 3, 10]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, their product is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e151,200\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Therefore, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ethe output should be '\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e6'\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e digits\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":52764,"title":"Easy Sequences 24: Number of Coprime Lattice Points","description":"Given a number 'n', you were tasked to mark and count all coprime lattice points at the first quadrant bounded by the points (0,0), (0,n), (n,n) and (n,0). A coprime lattice point is a point (x,y), where x and y are coprime integers. \r\nFor example for n = 15, 145 points would be marked (see figure below).\r\n                                              \r\nNOTE: One is coprime to all integers including zero. Except for 1, zero is not coprime to any other integer, not even to zero itself.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440000534057617px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 450px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eGiven a number 'n', \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eyou were tasked to mark and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; text-decoration: underline; text-decoration-line: underline; \"\u003ecount all coprime lattice points\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e at the first quadrant bounded by the points (0,0), (0,n), (n,n) and (n,0).\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e A coprime lattice point is a point (x,y), where x and y are\u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Coprime_integers\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003e coprime integers\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eFor example for n = 15, 145 points would be marked (see figure below).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 318px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e                                              \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"387\" height=\"312\" style=\"vertical-align: baseline;width: 387px;height: 312px\" 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+ZM/GdznanmXXXYxj3vc48x///d/m0ceeaRaP7jwpCc9ydx6661T+00DJgwGW4NlBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAgVICvZ4w+MUvfjH3Wwc//vGPh/wOO+ywua8bevrTn25k0mDr1q3mjjvuMJdeeqn5y7/8SyN/lTD4kEmHN77xjYOrJrbMhMHEqHkjBBBAAAEEEEAAAQQQQAABBBBAAAEEEEBgpgV6PWFw/fXXG/kB48HHq1/9avOpT33KPOpRjxpcXS1/4xvfmPu9g3vuuadat88++5i7777b7LrrrtW6SS0wYTApad4HAQQQQAABBBBAAAEEEEAAAQQQQAABBBCYbYFeTxisWbPGnHTSSVULywX/H/7wh2a//far1vkW/uVf/sW85jWvGdr0ne98Z+63EIZWTuAFEwYTQOYtEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBEyvJwze/e53mxUrVlTNfOqpp5pPfOIT1eu6hW3btpnDDz/c3HzzzVWSyy67zJxwwgnV60ktMGEwKWneBwEEEEAAAQQQQAABBBBAAAEEEEAAAQQQmG2BXk8YnHzyyXNfP2Sb+LOf/ayRrySKebzvfe8z73rXu6qk73//+83y5cur15NaYMJgUtK8DwIIIIAAAggggAACCCCAAAIIIIAAAgggMNsCvZ4weNGLXmSuvPLKqoX/8z//0zznOc+pXo9b+Kd/+ifzB3/wB1WSN7zhDebjH/949XpSC0wYTEqa90EAAQQQQAABBBBAAAEEEEAAAQQQQAABBGZbYKYmDO68805z0EEHRbX4tddea573vOdVaX/v937PfOELX6heT2qBCYNJSfM+CCCAAAIIIIAAAggggAACCCCAAAIIIIDAbAv0esLgd3/3d81XvvKVqoUfeOABs2jRour1uIUvfelLRiYJ7ONVr3qVkR9DnvSDCYNJi/N+CCCAAAIIIIAAAggggAACbRHYet89ZsPay8zW++8xW+67d+556/33mgX77j9XxQX7HmAW7rdjedfjl5pdjljSlqpTDwQM8UsQIIBAFwV6PWEgF/kvvfTSql3uvvtuc8ABB1Svxy3IjyPL1xDZx7Jly8zHPvYx+3Jiz0wYTIyaN0IAgRkXYDA/4wHA7iOAAAIIIIBAawQ2fesGs3ndDWb9Basb10kmEmTSgMmDxnRkyCRg43fDFZdun+C6t1GpxG8jLhIjgEAhgU5PGIjJwoULa2m2bNkytO073/mOecpTnjK0ru7FmWeeac4999xq84oVK8zKlSur15NaYMJgUtK8DwIIzKIAg/lZbHX2GQEEEEAAAQTaKiBjs41rLzUbrrgsSxV3O+6VTBxkkaSQGAG5AWn9+auzxK+dONj99DPMgv3ibnyNqWNf0nCzV19akv1oq0DnJwyawF599dXm6KOPjsrypCc9ydx2221V2rVr15rjjjuuej2pBSYMJiXN+yCAwCwJMJifpdZmXxFAAAEEEECgCwKPrDwzy4VWd1/thdc9V65yN/EagWwC689bnfQXMaEKEL/zQtzsNW/BEgKlBTo1YfCmN73JfPSjH002ueKKK8xLX/rSYP6bbrrJHH744VU6uWj/4x//2Pz6r/96tW5SC0wY5JdmJjq/6WCJ+A5qsNxGAQbzbWwV6oQAAggggAACsyogFwFlfLb5xhtqCeQvBeS3CnY+colZuP0rh+SOaznvkMeW7V/5Ys9BxpUhF173Om8Nd2vXKrMhVeCh008sHr87H77E/MrKD8xk/Mrnm7/cSI1O8iGQJtCpCQP5AeOlS5eahx9+uPHe7r333uaWW24x++23XzDv6173OvPP//zPVTr5qwT564RpPJgwyKNuZ6L5Dsw8nm4p1pfvaHRleN02AQbzbWsR6oNAtwTsBSl+eDNvu+Ga15PSEOiSgJxHPLzsRG+V5QLpbse/cvu/pd7tvpXSn0iZ8iPJvskDmTSQr3hpUqbvfViHgAhIrMlfxvh+p6BU/MpfyszSD3tzsxefNQSmI9CpCQMh2rBhg/n5z3/eSEsuusuEQd3F98HCNm3aZPbYYw+zefPmavWnP/1pc9JJJ1WvJ7lQV+dt27ZNshqdfS85gPMdmOWaj5n+craUnFeAwXxeT0pDYJYEpP/ghzfzt7h15WaD/LaUiEBXBKQf8E0WyIXW3Zedob4oukF+C8EzccCkQVcipN31rIvfXPEl8St31buTEVL+rEwacLNXuz8D1K7fAp2bMJhEc7z//e+f+/0CuVj/1Kc+1bz1rW81CxYsmMRbj7wHEwYjJNEr+A7MaKqkhMz0J7GRaQoCDOangM5bItADAek7uOkgf0Nys0F+U0pEoIsCdeMzmSzY6/w12Xaprs+Ri658PVE25pks6MHjnz9yMZ/4zRMK0j/wlxt5LCkFgVQBJgxS5SaUjwmD5tBycOE7MJu7NcnBTH8TLdJOW4DB/LRbgPdHoHsC3HRQps242aCMK6Ui0EUB3/hszxUfKPZVQXK39iNnLx+iYtJgiIMXDQR858PyOxslflhbJr3kL2Xcr1fOPTnRYPeLJq2bTOQvN4qyUzgCIwJMGIyQtGsFEwbN2qPu4CKlyAGV78Bs5ummZqbfFeF12wUYzLe9hagfAu0S4KaDcu3h648H3y3HD5rKWG9WfxBy0JJlBNou4OsPHr39x4hLfy+7b9Kg1EXetrcB9UsX8N1UMIk48k26T+J906XScvomE3NPjvCXR2ltQ67ZEmDCoOXtzYRBfAPVTRbIwYXvwIx3rEtZ58tMf50Y66ctwGB+2i3A+yPQLYG645zsBTcdpLeluPK1Aul+5ESgbwK+vnaSFz19F10nMVnRt3ac1f2RC80PvuyYod3PfTF7qPCBF76L3H37KxnfZGKp/mHW/nJjIJRYRCBKgAmDKKbpJWLCIM7eN/CUnLkP3r6DtLxP3w7Usk/ug5l+V4TXbRZgMN/m1qFuCLRPYNw4gpsO0turzpWbDdJNyYlA1wXcC4K5z9dCPjJG/N+Vy83mG2+okk66DtUbs9A5AfeGJDmeLVp79cT2Q+L3oWUnDv12QqkL6hPbqf97I9dWVk9i33yTiJN430n78n4INBVgwqBGbOvWreab3/ymWbhwodljjz3Mk5/85JqUZVczYRDn67uYzXdgxtnFpHIH9pKn1EFUBkGz9B2NMf6kaS7gDjgZzDc3JAcCsyJQd1E79wUkOb6tP3+12XDFZUO0fb7pwDc+w3Wo+XmBwEwJ+L4SaBp39/v6/WnUY6Yavwc7K8dx968LSl5zqCNzP0cyjpDfTij9lV519cmx3mebe7xQV0/f+KzPY7M6B9Yj4AowYeCK/N/rD33oQ+Ztb3tbtfX66683S5YsqV5PaoEJg7C072L2JAZ87oFaalrqInpYoVwK98LrpPaTmf5ybdr3kn0DTgbzfW919g+BdAHfRe2SfYZv/NDHE1Pf+KzUOEn6fW42SP8MkBOBSQm45xWl+oSY/WlTXWLqS5rpC7gxI8fuSf51waCAe4yd5mdpsF6py9O2lXFEX/9yI7VNyIcAEwY1MXDWWWeZc845p9r6xS9+0Rx77LHV60ktMGEwXtp3d8gkD5a+i9qTmKwYr5Jvq+/CKzP9+XwpqYzAtAecg3vVt8H84L6xjEAfBNzPqOzTJI7jvkmDSY5fSred2w/L+01i/3zjskm8b2lPykegLwI/O/IJQ7uy6PKrzIL9DhhaN6kX7nnONC/+TmqfeR+dgHuDQcmbC0I1dccRXY5f97Mo+z4NW59p1/9yIxRHbEdgnAATBjU6TBjUwLRstXuiP6mL2ZZBDm59/g5M94R/0gMR8WWm30Ybz7ECDOZjpUiHwGwLcNNBmfb3nfhPanwm7+1+7ZOMXfY6b83ULkqWUaZUBLon4Otzf3Xd96e6I+655CQmjKe6w7x5soDv2DbN+PXVp6vxO+1rDoNB4fYJ3HQwqMPyrAkwYVDT4kwY1MC0aLU7AyxVm8ZB0jf4nUY9cjeNbxDCTH9uZcrLLeCLWwbzuZUpD4F+CLgnhZO6qG31pL/q400H0z7xF1duNrBRxjMC7RFw+4bdTzvDyI/KT/Phnk9ycXCardHu93b/gq0NseKOY9pQp5RW5GavFDXyIFBegAmDGmMmDGpgWrTaHXRO8wDZprrkaiJ3nyb91wWD+9GXwdDgPrFcRoDBfBlXSkWgbwLuRSLZv2lM9vftpgPfpC03G/Tt08P+IJAm4J5bTKNvcGvuHgumeT7p1o3X7RIgfsu0h2/cwM1eZawpFYGmAkwY1IgxYVAD06LVfAdm2cZgpr+sL6WXEWAwX8aVUhHom4DbV0zzIlGb6qJtZ3dfuNlAK0p+BPoj4J5bTPP3C6yqO2k76b80s/Xguf0C7g1s07jJwFXqQ/xys5fbqrxGoD0CnZowWLZsmVmzZs1E9DZu3Gg2bdpUvRc/elxRtGLBPThKpaY5Ey3v38ZBhNQr5cFMf4oaedog0MbPodtfcTLahkihDrMuwE0HZSLAvSA4zTuI3TuHpzl5UUabUhHoloDbP7RhwsA956Gf6FZMTbK2xG8ZbfdGg2mOG+weuuOHad5UYuvEMwLTEOjUhMEznvEMs27dumk4GSYMpsJe+6bugYXvwKylStrATH8SG5laIMBgvgWNQBUQaLmAO4kn1eWmA32juRfepu3qq08b7gjVS1MCAt0UcCdqp93vWsW21svWj+d2CLQxTtzjXBcnvLjZqx3xTS0Q8Al0asLgsMMOM7fccotvP4qvY8KgOHGjN3AnDJiJbsQXTIxvkIgELRVgMN/ShqFaCLRIwD3GcdNBnsbhZoM8jpSCQF8F2nhTh1i3cezY1xjo8n61NU7aWq/Ytm5jv9CHiZhYf9IhME6gUxMGRx99tLnmmmvG7U+xbW2bMJAd3bZtm9lpp51m8vmWQw82B+66c9XeT7/1LnPXhk1T9di47nrz8LITqzrJ14485oKLO9k+a3/nAPPcRz+q2peX3X6fufahX+A7o5+3LvUzPz3i8VXcyoLcvdaG+re1XrN8HGlDXOA/nXHM/654h9lwxWVVXyE3HTzqZa+a6vH69XvvZf7u4H2qOv3TTx82b/rhj1vRf8XGKa7TiefY9iEd7TPt4x7nF7N53j7tuMv1/m28/rDl3rvNgy87pho7yF8YPPaK/5jqeKaptzvh8WvfumPq9e+Da9N2SE1fBR8LvRTo1ITBhRdeaE499dShhli8eLE56qijhtbleHHzzTebW2+9tSqqbRMGsz7of+C4o83W+++t2ke+A3Ph/gdO9eBy0G67mJsOOaiq090bN5unffvOTp3s27jCl5PK1EHDtPMxmOdk1PZjPNOP1fVHbewn+nDTARcD6X/pd+l36/pdWf/z015vNt94Q3WuJF8RtuuRz5rq+dtRe+1hLn/iflWd/vPhX5rjb7unk+dvfP7Kfv6I3zK+bb2pqq31auPnvOpAWeidQKcmDET/xS9+sfna175WNcShhx5qbrzxRrNw4cJqXY6Fs846y5xzzjlVUW2cMKgqN4ML7ky09jsw7eBWS5m7Xtr6pObPvR85fPnTwPrWzOFbX3q3tpT4Hkytr/t96fzo8XBMaX2HS+OVK4CvK2JMzj9/z+Xbh2NcTlfbalrfPrhaixLPWt8SdepTmfgOt6b7dXDaHxLN4evWqQ1fUTesNr1XOXynV/v87+zGivYrkXP4tvGrAJvKlxg7SB00vowdwq2o8Q2XToq2CHRuwuCOO+4whxxyiFm/fn1luHr1avPmN7+5ep1jgQmDHIrlyihxYMnR6eW+0F5OcHzJJfYD3/Hm2q05fLV1aEP+3IN5u08a3z4M5q1DqWeNb6k69alcfIdbM/cxLpdv7noN73X5V6Xqr/HlpD/c7hrfcOmkwHc+BjasvdQ8cvbyakWOH2jV+rrnlNqLwNXO9WRB69sThrndcONXO+ElhWp93fOeLk54lbjZy8Zdqi83e1nB8c+pvuNLZWubBDo3YSB45557rjnzzDMrx0WLFpnbbrvN7LPP/He/VhsTF5gwSISbULbcB5YcnV2fDizu4Fm+8mnBfgckt24OX0766/lz+NaX3q0tDOa71V5SW+K3bJvhO+qb8xiX07fUBfdRgTJrStQ/h2+JepURnHypOXwnX+vuvCO+w23ljuVlq3wt0S5HLBlOGPlK6+urj/av1iOr3olkWt9O7GSDSrrxop3wyuHrHt+05+wNOLIldSc9ck3aaXy52SvcvBrfcOmkaItAJycMtmzZYp75zGfOfRWRhZTfNvjEJz5hX6qfmTBQExYtIPeEgVRW2+n1acIA36LhW6RwbfwWqdQUCs09mLe7oPHtw2DeOpR61viWqlOfysV3uDVzH+Ny+PZhDJFzImawxTS+pY4Jg/Xr+rLGt+v7Pon64zus7Pa/2ru0Nb656zK8p/14pfHth8DwXrgxo5nwkpI1vu5NUtoJjOE9ndwrdz+0fcJgzVN93UmMLv7lxqBDqeVU31L1odz8Ap2cMBCGm266aW7SYPPmzXMqEqzXXXededaznpVFiQmDLIzFCnE7ce2BJUdn59apywcWd1+0M/05fJnpr/845fCtL717WxjMd6vNiN+y7YXvqG/OPiKXbx8mDHK62lbT+vbB1VqUeNb6lqhTn8rEd7Q13YuDkiL1oqvG1+0bNPUY3ct+rNH49kNgdC/c+NVcpNf6usfcrl57KDWxr/HlZq/R2HfXaHzdsnjdXoHOThgI6fLly82qVasq3aVLl5pLLrmkeq1ZYMJAo1c+b86Dta2tttNz76zTXmS39ZrGs+urnZCRfdD6upMYXR0UlWpPrW+pek2jXDd+NYN5W/9U374M5q1DqedU31L16Vu5+A63qHs80R7jcvi6deriMc7dh1zjII0vNxsMx77vlcbXVx7rhgXwHfaQV+7YaOfDl5i9zl8zmjBiTapvzjpEVLOzSVJ9O7vDgYq7F7clueZYl+rrnutIPVIn3iTvtB/u5zHXvqT4urY5ziOn7Vvq/VN8S9WFcssIdHrCQH74+DWveY35xje+YRYsWGBe/epXG/kB5ByPdevWmb/4i78wDzzwgDnwwAPNBRdcYPbee+8cRTcqQz6Evse2bdt8q2dmne9grTmwaDs7X326/B2Y7v5oD5RaXwlsZvrrP945fOtL794WN35lDxjMt7cdid+ybYPvqG/Ok8Fcvn246cB11U7ESMtpfd1JjC5OxIxGcL41Wt98NelnSfj629V3d3/KZzPV1704KbXUnEf697L7a1N9u7/n4/fAPa6knidrfN0xQ47j7fi9LrvVHT+kmg7WMtXX7R9S+qbBevR1OdW3rx593a9OTxj0tVEG90s+iL7HrE8YiInbmWsPlJpOL3ddfG0+6XXuPmkH0hrfEoOISXuWfj+Nb+m6TaP8XIN5W/cU374N5q1FiecU3xL16GuZ+A63rG9SUXOM0/r66tPFmw7c/chxwi8tp/HlZoPh2Pe90vj6ymPdsAC+wx72lTtOk/UpF+aa+vomK7TnkHaf+vjc1LePBu4+ucc62Z76VzIpvu45urx/F3/sWOptHz5Tzc1ettymvu41BylHMz609ejrc1Pfvjr0eb+YMGh568qH0PdgwsCYnB26prPzDTz7cGBxfTUn/hpfiX93YJRyQuH7HPVlnda3Lw6D++EbeDKYHxRqzzLxW7Yt8PX7useV1AtGOXxz1cW/p5Nd6+6Ldjyk8c05jpms4uTeTeM7uVp2953wrW87Gac9tOxEs/X+e6tEcq6x23FLze7LzqjWjVto6us7Z9Oc34yrWx+2NfXtwz7H7oP7dXeSr+n5aYpvrom22P2cZDp337SfzRRfbvaKb/EU3/jSSdkWASYM2tISNfWQD6LvwYTBDhX3xDT1gqCUltrp5ayDr62ntc53wVUz05/q657wi4f2AsS0TEu+b6pvyTpNu+wcg3m7D0183QGvlNH0JMK+76w8N/GdFZOc+4nvqGbOY4vG13cBq8vHONdVe8IvLZfq647P6IdHPwcaX39prHUFUuPXLaePr33nGrKfTSZwY33d/sB6drm/tftQ8jnWt2Qd2li2xO7681ebDVdcNlS9pseZJr6+8wvNtY+hirfgha8/0O5fE19fH9H1v9wo3axNfEvXhfLLCDBhUMY1W6nyIfQ9mDDYoeI70W56oJaSUjs734GlTwNPd2CSeuKf6ittw0y/KIx/aHzHl9ztrQzmu9F+xG/ZdsK33tc9hqecmGp9c9Shfg8nv8V3ws/NBpNvh9h31MZv7PvMajp8wy3vO5eTXHLOsefKVWaXI5bUFhLjK+XL+czgXzLYAvt0zmb3KedzjG/O9+taWXK8c/9KRvYhdizRxNcdK8j7pJ6XS962PrjZq60tM1qvJvE7mps1XRFgwqDlLSUfRN+DCYN5FfeitmyZxKSBb4Db5I6Y+T1o75LvxD92EOTuVcpBxTc4Yqbfld3xOsXXX1K/1moH81YjxtcXr30czFuTnM8xvjnfb9bKwtff4r7j+CTGD7Y2vj6jDxew3HGZth9MiV9uNrBRFn5O8Q2XSgorgK+VqH/29cU2tZx3yFcU1U0c1PlKmXLxcfONN9iihp770NcO7VChF3W+hd6uc8X6zpVlJ+S4t/vpZ5jdjl86dp9CvvJXe/KXDLMy4SWeOf5yw6KHfCWdO2aRdanXOyTvLD1ifGfJo4/7yoRBy1tVPoS+BxMG8yq+C4JykOY7MOeNNEs5ZvpTDia+g3fKhRzNvnclb4pvV/YtRz0ZzOdQLFcG8VvOVkrGd7yv9liT6uu7QNaXmw58fW7qyXeKr28ihpsN/J+DFF9/Saz1CeDrU/Gv853PDaaUczuZNNj1/y7ALtz+euH+Bxo5J5a8W7b/FoI8b94+UeB+TcxgOdIX/crKD5gF+x0wuJpljwDx60HxrBoXuxK3dX8pM8533ETBuDI91evcqjrPpuOIcb4WxTdeEN9Fa6+2SXiuEYjxrcnK6g4JMGHQ8saSD6LvwYTBsIocWB582THDK7e/anLyHdvp+Q4s8sZ9vVNFbHPM9Mf6iqXvAk7TQYKUM0uPJr6z5GL3tW7wKdtjBt4+31kezFvXXM8+31xlUw6TBuNiwNc3SJ/ATQfj1MLbctxsYN+lSf/gGz9ws4GV9D838fWXwNpxAviO0xneVnfOMZwq/VWT88L0d+lXTuI3rj1DsSvjCpnw2nn7P5mskgkveRbfLffe3WjCa6/z18RVqsOpxNN3bUccY/5yw+56XfyOO4fr6zUda5Lzuc4353tQ1nQFmDCYrn/w3eVD6HswYTCq4rtbT1KlXgx030HKlxPRWfmTwMH9911Qke2xF/GbHEx8EzLShsz0D7bI8HIT3+Gcs/WKwXw725v4Ldsu+IZ9605MYy4uNfX1HeOkhn07Qa3rb5tevG/i65ssiB2nhKOknyma+PZToOxe4ZvmK/3H/65cXvt1Qk1LlX6AvypoqsbNBk3FJG43rL3MrL9gddOsUeljxiRRBXUkkXj6fiNCqp96fWfcREFMmR2hm0g1Ob5NhHnqb8KEwdSbYHwF5IPoezBh4FMxpm7SQFLLYJHvwPS7xayVg7Zmpj90UBl3AO/bhZQY76ZpQr5Ny+tregbz7WxZ4rdsu+Ab9q0bP8ScQMb4zuJNB3Un+00v4sf4+iZiuNkgHPeSIsY3riRS+QTw9anErZM+RCYO5FH3WwR1JcnnX+7olruR+fqhOqXweuI3bOSmkLj1/XW+my72tUwUzGochyzt59z9yw2xlbxHP+mJ5mtrPh31VWWz8JcbsTEXm47+IVaqu+mYMGh528mH0PdgwsCnsmOdHBzqZqMlhT2w8B2Y9YZ1W8bZiivf0VgnV3Y9B+vmvqEBaNMSZ3kw39TKTU/8uiJ5X+Mb71k3aSAl1N10EPKVMmf5hzelr+Vmg/gYnHTKUPxOuj59ez9887Wo9CXSn8pvFGy5b/vvFdx/T/VX33IOsmDf7V/zst+O552PXFL7I8n5atT/kohfXRvbmJW/OmDCK91SHPnLjXS/UjnpH0rJtqtcJgza1R4jtZEPou/BhIFPZX6dHFhyzuzPl7xjadb+JHBw/0O2dkLGnemXWOY7Ggcl8y5z0E7zZDCf5pY7F/GbW3S4PHyHPca9kj6Bmw7GCTXfNs503M0G9p188TvurxJjyrRl88xfGJSOAV/8ln7PWSof37KtjW8eX3u+ETPhtdvxr+SvYjzsYpjz+g43e3mQG66if2gI1sHkTBi0vNHkQ+h7MGHgUxldJwcWvgNz1EW7RlyZ6dcq5svPwTqPJYP5PI5NSyF+m4o1S49vMy9Jnfuk1K3BLN50EDLlZgM3Sibzmv6hrDO++JYVKFs68YtvWYG00u35Gn+5keaXKxf9Qy7JdpfDhEG722fue0V9VWTCwKdSv04OLHwHZr1P6pbQBYCm5TLT31RsPj0H7XmLEkv4llCdLxPfeYsSS/imqdqxQ9OvEqh7t1n/4U3x5GaDuuiY3nr6h7L2+OJbVqBs6cQvvmUFdKXLuGLcV5Vdc/sd5oV/8Pq5ryzjLzd01r7c9A8+lX6tY8Kg5e0pH0LfgwkDn0rcutCBhe/AjHMcTGVNmekfVJncMgfrstb44ltWoGzpxK/eV45x3HSgd7QliCdfK2A1pvtM/1DWH198ywqULZ34xbesQNnSiV98ywrMRulMGLS8naWj8z2YMPCp6NZxUNH52dx28oDvaLQik3kmfss644tvWYGypRO/+XybHOP44c3x7taSmw3GO5XeSv9QVhhffMsKlC2d+MW3rEDZ0olffMsK9L90Jgxa3sbSyfkeTBj4VNLXcTBJt4vJiW+MUnoafNPtYnLiG6OUngbfdLuYnPjGKKWnwTfdbjCnnTzgZoNBlfLLxG9ZY3zxLStQtnTiF9+yAmVLJ37xLSswG6UzYdDydpaOzvdgwsCnolvHQUXnF8qNb0hItx1fnV8oN74hId12fHV+odz4hoR02/HV+YVy4xsS0m3HV+cXyo1vSEi3HV+dXyg3viEh3XZ8dX6h3PiGhHTb8dX5dSE3EwYtbyX5EPoeTBj4VNLX0dml28XkxDdGKT0Nvul2MTnxjVFKT4Nvul1MTnxjlNLT4JtuF5MT3xil9DT4ptvF5MQ3Rik9Db7pdjE58Y1RSk+Db7pdTE58Y5TS0+CbbtelnEwYtLy15IPoezBh4FPRraPT0/mFcuMbEtJtx1fnF8qNb0hItx1fnV8oN74hId12fHV+odz4hoR02/HV+YVy4xsS0m3HV+cXyo1vSEi3HV+dXyg3viEh3XZ8dX5dyM2EQctbST6EvgcTBj6V9HV0dul2MTnxjVFKT4Nvul1MTnxjlNLT4JtuF5MT3xil9DT4ptvF5MQ3Rik9Db7pdjE58Y1RSk+Db7pdTE58Y5TS0+CbbheTE98YpfQ0+KbbdSknEwYtby35IPoeTBj4VHTr6PR0fqHc+IaEdNvx1fmFcuMbEtJtx1fnF8qNb0hItx1fnV8oN74hId12fHV+odz4hoR02/HV+YVy4xsS0m3HV+cXyo1vSEi3HV+dXxdyM2HQ8laSD6HvwYSBTyV9HZ1dul1MTnxjlNLT4JtuF5MT3xil9DT4ptvF5MQ3Rik9Db7pdjE58Y1RSk+Db7pdTE58Y5TS0+CbbheTE98YpfQ0+KbbxeTEN0YpPQ2+6XZdysmEQctbSz6IvgcTBj4V3To6PZ1fKDe+ISHddnx1fqHc+IaEdNvx1fmFcuMbEtJtx1fnF8qNb0hItx1fnV8oN74hId12fHV+odz4hoR02/HV+YVy4xsS0m3HV+fXhdxMGLS8leRD6HswYeBTSV9HZ5duF5MT3xil9DT4ptvF5MQ3Rik9Db7pdjE58Y1RSk+Db7pdTE58Y5TS0+CbbheTE98YpfQ0+KbbxeTEN0YpPQ2+6XYxOfGNUUpPg2+6XZdyMmHQ8taSD6LvwYSBT0W3jk5P5xfKjW9ISLcdX51fKDe+ISHddnx1fqHc+IaEdNvx1fmFcuMbEtJtx1fnF8qNb0hItx1fnV8oN74hId12fHV+odz4hoR02/HV+XUhNxMGLW8l+RD6HkwY+FTS19HZpdvF5MQ3Rik9Db7pdjE58Y1RSk+Db7pdTE58Y5TS0+CbbheTE98YpfQ0+KbbxeTEN0YpPQ2+6XYxOfGNUUpPg2+6XUxOfGOU0tPgm27XpZwzPWHw05/+1Hz+858369evN495zGPMiSeeaCTw2/Soqw8TBvlbiU4vv+lgifgOauRfxje/6WCJ+A5q5F/GN7/pYIn4DmrkX8Y3v+lgifgOauRfxje/6WCJ+A5q5F/GN7/pYIn4DmrkX8Y3v+lgifgOauRfxje/adtKnOkJg7e//e3mgx/8YNUmX/7yl81LXvKS6nUbFuRD6HswYeBTSV9HZ5duF5MT3xil9DT4ptvF5MQ3Rik9Db7pdjE58Y1RSk+Db7pdTE58Y5TS0+CbbheTE98YpfQ0+KbbxeTEN0YpPQ2+6XYxOfGNUUpPg2+6XZdyzvSEwVve8hazevXqqr0uu+wyc8IJJ1Sv27AgH0TfgwkDn4puHZ2ezi+UG9+QkG47vjq/UG58Q0K67fjq/EK58Q0J6bbjq/ML5cY3JKTbjq/OL5Qb35CQbju+Or9QbnxDQrrt+Or8QrnxDQnptuOr8+tCbiYMmDDoQpwWryOdXVlifPEtK1C2dOIX37ICZUsnfvEtK1C2dOIX37ICZUsnfvEtK1C2dOIX37ICZUsnfvEtKzAbpXdqwmDTpk3mu9/9braWWbVqlfnMZz5TlSdfT/TCF76wem0XFi5caJ761KdO5fcNpKPzPfgLA5+Kbh0HFZ1fKDe+ISHddnx1fqHc+IaEdNvx1fmFcuMbEtJtx1fnF8qNb0hItx1fnV8oN74hId12fHV+odz4hoR02/HV+YVy4xsS0m3HV+fXhdydmjB4z3veY/7yL/9yKq5f/OIXzbHHHjvx95YPoe/BhIFPJX0dnV26XUxOfGOU0tPgm24XkxPfGKX0NPim28XkxDdGKT0Nvul2MTnxjVFKT4Nvul1MTnxjlNLT4JtuF5MT3xil9DT4ptvF5MQ3Rik9Db7pdl3K2akJg6VLlxr5nYFpPD72sY+ZZcuWTfyt5YPoezBh4FPRraPT0/mFcuMbEtJtx1fnF8qNb0hItx1fnV8oN74hId12fHV+odz4hoR02/HV+YVy4xsS0m3HV+cXyo1vSEi3HV+dXyg3viEh3XZ8dX5dyN2pCYOXvOQl5qtf/epUXD/60Y+aP/7jP574e8uH0PdgwsCnkr6Ozi7dLiYnvjFK6WnwTbeLyYlvjFJ6GnzT7WJy4hujlJ4G33S7mJz4xiilp8E33S4mJ74xSulp8E23i8mJb4xSehp80+1icuIbo5SeBt90uy7l7NSEwYte9CJz5ZVXTsX3c5/7nHnFK14x8feWD6LvwYSBT0W3jk5P5xfKjW9ISLcdX51fKDe+ISHddnx1fqHc+IaEdNvx1fmFcuMbEtJtx1fnF8qNb0hItx1fnV8oN74hId12fHV+odz4hoR02/HV+XUhd6cmDI477jjzb//2b0Ou8mPE8rsGe+2119D6mBfyVwOf//znq6Snn366OeGEE6rXdmHnnXc2xxxzjJHnST/kQ+h7MGHgU0lfR2eXbheTE98YpfQ0+KbbxeTEN0YpPQ2+6XYxOfGNUUpPg2+6XUxOfGOU0tPgm24XkxPfGKX0NPim28XkxDdGKT0Nvul2MTnxjVFKT4Nvul2XcnZqwmD58uVm1apVI7777rvv3PqTTjppZNu4FW95y1vM6tWrqyTy+wi+CYMqwRQW5IPoezBh4FPRraPT0/mFcuMbEtJtx1fnF8qNb0hItx1fnV8oN74hId12fHV+odz4hoR02/HV+YVy4xsS0m3HV+cXyo1vSEi3HV+dXyg3viEh3XZ8dX5dyN2pCYOf/exn5rTTTqv94eOjjjrK/N3f/Z152tOeFmXPhEEU00wkorMr28z44ltWoGzpxC++ZQXKlk784ltWoGzpxC++ZQXKlk784ltWoGzpxC++ZQXKlk784ltWYDZK79SEgW2Sr3zlK+aMM84w3/ve9+yq6nnhwoVzP078nve8xzz2sY+t1vsWmDDwqczuOg4qZdseX3zLCpQtnfjFt6xA2dKJX3zLCpQtnfjFt6xA2dKJX3zLCpQtnfjFt6xA2dKJX3zLCvS/9E5OGEizbNq0yXz4wx827373u83DDz880lJ77723ee9732v+6I/+yEhH4XswYeBTmc11HEzKtju++JYVKFs68YtvWYGypRO/+JYVKFs68YtvWYGypRO/+JYVKFs68YtvWYGypRO/+JYVmI3SOzthYJvn/vvvN2eeeab5x3/8R7tq6PnII4+c+5qiJUuWDK2XF0wYjJDM9AoOKmWbH1+979b77jEb1l5mtt5/j9ly371zz1vvv9cs2Hd/c9ddd5nFz3quWbjf/nNvtOvxS80uR4z2e/pazGYJxG++dh8Xx/IuC/Y9gDjOxz1XEvGbGdQpDl8HJPNLfDODOsXh64BkfolvPlDGD/ksY0sifmOl0tLhm+YWmwvfWKm0dPimuXUpV+cnDCz2tddea/70T//U3HLLLXZV9SyBfOqpp5r3ve99Zp999qnWM2FQUcz8Ap1d2RDAN91307duMJvX3WDWXzD/A+2xpclEgkwaMHkQK+ZPR/z6XZqsJY6baOVNS/zm9XRLw9cVyfsa37yebmn4uiJ5X+Or92T8oDdMLYH4TZWrzzc46XXlZy42z3vi47ffALbj5i/JxU0z9XZNtxC/TcVG0w/GKzcrjvrMwpreTBhIY23ZssV87GMfM2eddZZ54IEHRtpv0aJF5uyzzzZ/8id/YuS3DpgwGCGamRXjOj9B4GCdPxQ4aDczlROkjWsvNRuuuKxZxprUux33SiYOamxiVhO/MUqjaYjjUZNprCF+y6rji29ZAX3p48a9/IWi3ndcCfQP43TqtzF+qLeZ5BbiV6/NpJfeMLUE4re5HPHa3KzPOXo1YWAb6n/+53/Mu971LvPxj3/cbNu2za6ung855BDzt3/7t+ayyy4zq1fP37Urr0844YQqXRsWpJPzPXz75UvHunkBOr95i0kvcbBuJv7IyjOzTRQMvrP9i4M9V64aXM1yQID4DQDVbCaOa2AmvJr4LQuOL75lBdJLZ9ybbpcrJ/1DmiTjhzS33LmIX52o9MHc/KUz1OQmfpvpEa/NvGYldS8nDGzjrVu3bu5rim644Qa7auwzEwZjeTq7kc6vHU3HQTvcDhKr689bbTbfWN9nyV8KyF/A7HzkErNw+1cOLdjvACN3Di5evNh8/7pr55bldw7GlSETB3udt2Yub7hWpBAB4jc+DlLieOH+B5ot99499yZbtv9ptr0bljiOdx+Xkvgdp6Pfhq/ecFwJ+I7TGd3GuHfUZJpriN94fcYP8VaTSkn8pkkz6ZXmljsX8RsnSrzGOc1iql5PGEiDyp34n/zkJ8073/lO85Of/GRsGzNhMJankxvp/NrRbBysw+0gJ0kPLzvRm3Dnw5eY3Y5/5fZ/S73bfb5ywVXKrJs8kEmD3U8/o7ZM7xvN6Eqf74xSBHc7JY7H+RLHQfJggnG+wcwkCArgGyRSJcC3GR/j3mZepVMTv/HCjB/irSaVkvhtLi1xHHvz10ve8U7zH9+7vbr5S96Nm2aam9flIH7rZObXN4lXblacd5ulpd5PGNjGfPDBB82KFSvM3//938/91oFdP/jMhMGgRreXUzo/7nAt2+YctOt9606SZKJg92VnzP1wcX3uHVvG+W6Q30Lw/NUBkwYh1fnt43znU832kiaOY3yJ4/T4ivFNL52c+JaNAXzDvinjXv5CMeyaIwXxG1Zk/BA2mlYK4jdevi6OpYS6m7/G+XLTTLx9XcpxvnV5ZmV9Sry6NoO+xKur04/XMzNhYJvr1ltvNW9+85vN1VdfbVdVz5/73OfMK17xiup1GxbkQ+h78BsGPpUd61I6v8HOzi2Zzs8Vaf56nG/z0vqVoy5eZWC51/lronY2xlfieP35q0d+G4GvJwoTx/iGS+l3Ck0cN/EljpvHURPf5qWTA9+yMYBv2Leu/5WcdRepbKk+X8a9Vkf/7PPVl9qvEuriN2Yc3MSX8UPzuGni27z0fuUYF8d1N3818eWmmebx0sS3eendzpESr+4ej/MlXl2t7r6euQkD21SXXHKJueCCC8wdd9xhtm7dan7zN3/TfPaznzUHHHCATdKKZ/kg+h5MGPhUzNxXsPi+1kUGnXUHa1vSuE7PpqHzsxLNn2N8m5fa/RwPHv98s3X7d7YPPvZc8YHGXxUU6ysx/MjZywffbvtvIvCbBkMgnhexvp6sM7FKG8dNfYnjZmHV1LdZ6aTGt2wM4Fvvy0l/vU1bthC/41uC8cN4n2lvJX7DLTCuHw7d/NXEl0mvcFu4KZr4unn7+loTr67JOF/i1dXq5uuZnTDoSnPJh9D3YMJgVEXT+Y3r7Nx3ovNzRcKvm/iGS+tPiodOP3Hkx4kfvf3HiHc5YkmjnWzq67vYKj+mvOfKVY3ed1YSN/WdFRe7n9o4TvUljm0LjH9O9R1fKlutAL5WoswzvvWumnGvLTXGl3Gv1Wr+HOPbvNT+5GD80O62JH7j2id10ivV1zf+5eav0bZK9R0tqV9rUuPVVYj1JV5duW69ZsKg5e0lH0TfgwmDURVt5xfb6dl3pvOzEnHPTX3jSu1uKt+JvuaifVNf+UGu9ResHgJMmawYKqDHL5r69phiaNdyxXGqL3E81By1L1J9awtkw5AAvkMc2V/g6yfVjnttqbG+jHutWLPnWN9mpXY/NeOHbrQh8Tu+nZj0Gu8z7a3E73ALaON1uDRjYn194wfNdQ+3HrwuJ8CEQTnbLCXLh9D3YMJgWEXb+cV2dsPvarb/kOzo17vQ+blK8QeT0Zz9XePGbMx3tdZppMSv3DH4vyuXD/2Fg6YOdXXrw/oU3z7sd8w+5IhjjS9xHG4ljW+4dFLgWzYG8PX7un2vpEqZ9G/qy7jX3x51a5v61pXTx/VuDKeMQTW+jB/CUaXxDZfe/RTaSS+tLzfNjI8hre/40ru3VRuv7h439SVeXcFuvGavU5dFAABAAElEQVTCoKad5HcNvvnNb5qFCxeaPfbYwzz5yU+uSVl2tXwQfQ8mDOZVcnV+TTs9WwM6Pysx/jnVd3yp3dzqO+FOOdEf3PsUX99nR1uPwTr1aTnFt0/779uXnHGs8SWOfa0zvE7jO1wSr3wC+PpU8q3Dd9jS1+dpblZp6su4d7g9Qq+a+obK68N2xg/daUXit76tmPSqt2nLFuJ3viVyxOt8aTuWmvgySevqdeM1EwY17fShD33IvO1tb6u2Xn/99WbJkmbfK15lVizIh9D3YMJgXiVH59eks5t/5x1LdH6uyOhrje9oad1f88jKM82GKy6rdkRzoi+FaHxz16XaqR4taHx7xDCyK7liJ4dvrrqM7GQPVuTw7QFDsV3AtxjtXMH4jvrmGPfaUlN8GfdavfBzim+41O6nyHXMzuGbqy7db5XRPcjhO1pqP9bkmPTK4eubQObmrx0xlsO3H9Hq/1YMbZyk+BKv3YsoJgxq2uyss84y55xzTrX1i1/8ojn22GOr15NakA+i78GEwQ6VHAdr65vS6dm8dH5Wov5Z41tfaje3/OzIJwxVfNHlV5kF+x0wtK7pi1RfOfF/8GXHVG8nP5q1aO3V1WsWdgik+vbZL2cca32J4/GRpvUdXzpb8S0bA/jO++Yc99pSU3wZ91q98HOKb7jUbqdg/NCd9iN+/W2Va6Iph2+uuvj3tNtrc/h2W2BH7UvFSIpvqbr0oZ3auA9MGNS0ChMGNTAtW52rw0np7FyKXHVxy+3D6xy+fXCQffCdZP/quu+rdk/r696tqL3jQLUzLcys9W3hLqmrlDOOc/kSx/5mzeXrL521+JaNAXyHfXOPNTW+uesyvKf9eKXx7YfA6F4wfhg1aesa4re+ZXJMeuXy5aYZfzvl8vWX3q21OeLV3eNUX+LVlWz3ayYMatqHCYMamJatztn5pXZ6loTOz0r4n7W+/lK7t9Y9wd79tDPM7svOUO+Ixte9Y1H7FUnqnWlhARrfFu6Oukq54ziHL3Fc36w5fOtLZwu+ZWMA33nfnONeW2qqL+NeKzj+OdV3fKnd3cr4oVttR/yOtheTXqMmbV1D/Ja5WdG2d6ovN3lZwfY/M2FQ00ZMGNTAtGg1B+sWNUagKqkHk0CxndzsnijtueIDZrfjl6r2RevLhdbx/Frf8aV3c2vOOM7lSxz7YymXr7901uJbNgbwnffNOe61pWp9Oem3kv5nra+/1G6vZfzQnfYjfv1t5cZw6s1fOX0ZA4+2VU7f0dK7syZXvLp7rPElXl3N9r5mwqCmbZgwqIFp0ercnZ+m07MsdH5WYvQ5h+9oqd1b8+Dxzzdb77+3qniO3y+QwjS+7kWInQ9fYvY6f01VRxZ0vn30yx3Hmvi1vsSxlRh9zuE7WiprrAC+VqLMM747XHOPe21raXwZ91rF+meNb32p3d3C+KFbbUf8jraX2xdrbv7K5UtfPNpOsiaXr7/0bqzNGa/uHqf6Eq+uZHtfd2rCYNmyZWbNmslcxNq4caPZtGlT1XL86HFF0ZqFnJ1famfnYtD5uSI7Xufy9ZferbW5T5Rk77W+fK3A+BjS+o4vvZtbc8ZxLl/i2B9LuXz9pbMW37IxgO+8b85xry1V68u410r6n7W+/lK7vZbxQ3faj/j1t1WuGM7py00zo22V03e09O6syRWv7h5rfIlXV7O9rzs1YfCMZzzDrFu3biqaTBhMhX3sm+bu/DSdnq0onZ+VGH3O4TtaavfWuN8/rP3BYyug9S1VL1u/rj9rfbu+/279c8dLLt/c9XL3u6uvc/l2df9L1xvfssL47vDNPe61rabxZdxrFeufNb71pXZ3S+7jdC7f3PXqbgsN1zyX73Cp3X6Vsy/O5ctNM/6YyuXrL70ba3PGq7vHqb7EqyvZ3tedmjA47LDDzC233DIVzbZNGAjCtm3bqjuL7Yd1lp4fOO7oka92Wbj/gVN1OWi3XcxNhxxUxejdGzebp337zplup1mPU3f/2xi30m/89IjHV3ErCzKRMUv9idtOvB5/fCGOx/sQP/jQf+401fFYH/3b2O8y7iXOmx7v2hjHjIOJ4yZx7E4u/dq37mjF8a6t9erj8bhJvEx7/0vHxdAFhAYv3HrluomyQRVIGiHQqQmDo48+2lxzzTURu5U/SdsmDLrUSZXqJN1OhoM1g70ufC7W/s4B5rmPflTVSb3s9vvMtQ/9YqoX5zeuu948vOzEqk7yGwaPueDiVgx+S/UflKvrL4hjnR/xh18XjlfEabvilHFvu9qDz0daezB+SHMj3trjxqQXN4V06fM4iXitLiI0WHDHNEwYNMCbYNJOTRhceOGF5tRTTx3iWbx4sTnqqKOG1uV4cfPNN5tbb721KqqNEwZV5WZ0IeefV9lOPwclnd+oYk7f0dK7teah0080m2+8oar0o89bY3Y5Ykn1OmVB68tXCoxX1/qOL72bW3PGcS5f4tgfS7l8/aWzFt+yMYDvvG/Oca8tNYcv416rOfqcw3e01G6vYfzQnfYjfv1tlSuGc/oyBh5tq5y+o6V3Z02ueHX3WONLvLqa7X3dqQkDYXzxi19svva1r1Wihx56qLnxxhvNwoULq3U5Fs466yxzzjnnVEUxYVBRtGYhd+en6fQsCp2flRh9zuE7Wmr31rg/Wrjbca80e65cpd4Rja9bp91PO8PsvuwMdZ36VIDGt08Odl/cmNHGcQ5ft07EsW0t/Q+jz5fEkk8gR/z6ymXdDgF8dzjkHvfa+NL4Mu61ivXPGt/6Uru7xT1WM35od1sSv6Ptk7MvzuVLXzzaTrIml6+/9G6szRmv7h6n+hKvrmR7X3duwuCOO+4whxxyiFm/fn2lunr1avPmN7+5ep1jgQmDHIply8jZ+aV2du4e0vm5Ijte5/L1l96ttRvWXmoeOXt5VekF++5vFq29unqdsqD1de9a3HPFB8xuxy9NqUov82h9+4iSM45z+RLH/kjL5esvnbX4lo0BfOd9c457balaX8a9VtL/rPX1l9rttYwfutN+xK+/rXJNeuX0devETTNMFtjodWNDO0lry9XEr1sn4tWqtu+5cxMGQnjuueeaM888s9JctGiRue2228w+++xTrdMuMGGgFSyf3+1otJ2fptOze+vWic7PynDQthJb77vHPPiyY+zLuedpfi2Rrz58h+BQ88y9yNE/jJba3TW+uNHEsdbXVx/ieD6+tL7zJbHkE8DXp5JvHb47LN0xpnbca1tI4+vWiXGvVZ1/1vjOl9KfJd/xmvFDe9uX+B1tGya9Rk3auob4NSZnvLrtnOrLTV6uZHtfd3LCYMuWLeaZz3zm3FcRWVr5bYNPfOIT9qX6mQkDNWHxAnJ2fqmdnbuTdH6uyI7XuXz9pXdvrXuXoPakX+Obuy7da41wjTW+4dK7myJX7OTwzVWX7rZGfc1z+NaXzhZ8y8YAvvO+Oce9tlStL+NeK+l/1vr6S+3+2lzH7By+uerS/VYZ3YMcvqOldn9NrkmvXL6++nDTDDcr2k+aLz40k7S23NT49dWHeLWq7Xvu5ISBMN50001zkwabN2+eU5WAve6668yznvWsLMpMGGRhLFqIr7PRdH6pnZ7dSV996PysDgfteYnRmX7ZpoldyZ8Sv+5XCeSoh5TRx0eKbx8dBvfJvXgl21LjWONLHA+2in9Z4+svkbWDAvgOauRfxneHqW+cmdrnDrZSqq+vPox7B2V3LKf6jpbUnzWMH7rTlsSvv61yTTTl8M1VF/+ednttDt9uC+yofakYSfEtVZc+tFMb96GzEwaCuXz5crNq1fyPhS5dutRccsklWZyZMMjCWLyQXB1OSmfn7lyuurjl9uF1Dt8+OAzugxsvOx++xOx1/prBJNHLqb456xBd2Q4mTPXt4K42rnKOGNL65qhD4x3vUAatb4d2dSpVxbcsO77Dvm5/x18oDvu07RXxW98ibiynjIO1vjnqUL+H3d+i9e2+QP0e5Jj0yuHLTTP1bZTDt770bm3JEa/uHqf4Eq+uYvtfd3rCQH74+DWveY35xje+YRYsWGBe/epXG/kB5ByPdevWmb/4i78wDzzwgDnwwAPNBRdcYPbee+8cRTcqQz6Ivse2bdt8q2duXc7OL6XTs+B0flai/lnjW19qd7f4Ykbz3b9Nfd2TJJHMcadid1tkfM2b+o4vrT9bc8Vxqi9xHBdLqb5xpZMK37IxgO+8b85xry01xdfX9zOGsKLDzym+wyX085UvhlLGwam+jB/i4irVN670bqdyY4hJr/a1J/E73yY54nW+tB1LTX1L1MGtE6/zCnR6wiAvRTtLkw+h78GEwbxKjo6naWc3/+47lnLUwS2zT6+1vn2yGNwX98cCZdskTpZ8J2nauxQH96tvy8Tv+BbVxnGqL3E8vl3s1lRfm5/n8QL4jvfRbsV3VDDnmDPVN2cdRvewP2tSffsjMH5PGD+M95n2VuJ3fAv4xqFNzuO0vm4/LLVl4na+zbS+8yX1Y0kbr65CU1/i1RXsxmsmDFreTvJB9D2YMJhXydX5Ne30bA3o/KzE+OdU3/GldnurfP/vQ8tONFvvv7fakQX77m92O26p2X3ZGdW6mIVYX9/nRd5z0dqrY95mZtPE+s4iUI44bupLHDeLtKa+zUonNb5lYwDfYV9f/9fkItVwac1/A4lxrys4/jXxW+/D+KHepi1biN/xLcGk13ifaW8lfodbQBuvw6XFjx984xZuVnQ12/maCYN2tktVK+nkfA8mDIZVtJ1f6sGEzm+4HepepfrWlden9b4fDZT9a3IQjfX1neTLe3E3iijUP2J960vo/xZNHDf1JY6bxVNT32alkxrfsjGAr99XO+61pTb1Zdxr5eKem/rGldqvVIwf2tuexG+4bTSTXqm+vn6Ym79G2yrVd7Sk/qzRxKurEOtLvLpy3XrNhEHL20s+iL4HEwbDKjk6v9hOz74znZ+ViHtu6htXaj9S+WJJ9kwGf3uuXGV2OWJJcEfH+Ur5cnFh8C8ZbIFMFliJ8c/jfMfnnJ2tmjiO8SWO02Mpxje9dHLiWzYG8B31zTHutaXG+vr6eC5SWcX651jf+hL6v8UXW7LXMePgGF/GD+kxFOObXno/ckp//ODLjhnZmZibv5r6ctPMCPPYFU19xxbWk42aeHUJQr7EqyvWvddMGLS8zeRD6HswYTCqoun8Qp2d+250fq7I+NdNfceX1s+tdSdLsrfyI1ryFUV1Ewd1vlLm+vNWm8033uBFY7LAyzKyss53JCErTEoch3yJY11ghXx1pZMb37IxgG+9r2bca0uN9WXca8WaPcf6Niu1n6kZP7SvXYnf+Dapi99xk15NfKV8bv6Kbw9J2cS3WcndT50Sr+5ej/MlXl2t7r5mwqDlbScfRN+DCQOfiqm9WDXuYG1LGtfp2TR0flai+XOMb/NS+5VDTv7d3zQY3EOJY5k02PX4pXOrF25/vWC/A+aWD9ptF/P96641Usbm7YPKDVdcNph1aFkmIH5l5QeqvEMbeeEVIH69LN6VKXG8cP8DjRzXJO+W7b/pQRx7aZNXEr/JdFEZ8Y1iSk6Ebz0dJ/31Nm3ZQvzGtwTjh3irSaUkfuOl6/pjKaHu5q+Qr5TJzV/xbeCmDPm66WfpdUq8uj6uL/HqCnX/NRMGLW9D+RD6HkwY+FR2rEvp/NzOzi2dzs8VafY65NustH6nlpOl9eevHnvBXyMQ8+exmvL7mJf4bd6qxHFzs1I5iN9SsjvKxRffsgLh0lPGvbbUuvhl3GuFdM91vrpS+52b8UN72pf4bd4WTSa9XvCCF5j/+N7t1Q1ckpebZpqb1+Ugfutk5tc3iVfJxc2K83azssSEQctbWjo634MJA5/K/LqUzo87XOf9Sixx0G6mKjH8vyuX136dULPSdtzZwl8VNFWbT0/8zls0WSKOm2iVS0v8lrOVkvHFt6xAuPSUcS9/oRh2zZGC/iFNkfFDmlvuXMRvc1GJXW7+au5WIgfxG1YlXsNGs5yCCYOWt750cr4HEwY+leF1dH7DHtN8xcE6Xd+eMEkJdb9FUFe6/Qqj3U8/o7p7pS4t6+sFiN96m9gtxHGsVP50xG9+08ES8R3UyL+Mb7wp4954q0mlJH710owf9IapJRC/qXI78tnYbXr+VveufKVsnYx/PfHrd6lbS7zWycz2eiYMWt7+0tH5HkwY+FT86+j8/C6TXstBWy8usSxfEyC/UbDlvu3f837/Pdv/3TtX8N0bN5vFz3quWbjf9t812PcAs/ORS2p/JFlfk9krgfjN1+bj4lgmuSR+ieN83lIS8ZvX0y0NX1ck72t8m3ky7m3mVTo18ZtPmPFDPsvYkojfWKn6dLZPlhRNJw+4+aveNWYL8RujNJyGeB32mPVXTBi0PAKkk/M9mDDwqYxfR+c33qfkVg7WJXW5GFhWF198SwuULZ/+F9+yAmVLJ37TfRn3ptvlykn85pL0l4Ov3yXXWnxzSc6XI/2yvfnrys9cbJ73xMdXN39x08y8U44l4levOBiv3Kyo9+xiCUwYtLzVpKPzPZgw8KnErxvX+XGwjndskpKDdhOt5mnxbW7WJAe+TbSap8W3uVmTHPg20WqeFt/mZk1y4NtEy5923LiXv1D0m+VaS/zmkvSXg6/fJddafHNJ+svB1++Say2+uST95eDrd+nTWiYMWt6a8iH0PZgw8Kmkr6OzS7eLyYlvjFJ6GnzT7WJy4hujlJ4G33S7mJz4xiilp8E33S4mJ74xSulp8E23i8mJb4xSehp80+1icuIbo5SeBt90u5ic+MYopafBN92uSzmZMGh5a8kH0fdgwsCnoltHp6fzC+XGNySk246vzi+UG9+QkG47vjq/UG58Q0K67fjq/EK58Q0J6bbjq/ML5cY3JKTbjq/OL5Qb35CQbju+Or9QbnxDQrrt+Or8upCbCYOWt5J8CH0PJgx8Kunr6OzS7WJy4hujlJ4G33S7mJz4xiilp8E33S4mJ74xSulp8E23i8mJb4xSehp80+1icuIbo5SeBt90u5ic+MYopafBN90uJie+MUrpafBNt+tSTiYMWt5a8kH0PZgw8Kno1tHp6fxCufENCem246vzC+XGNySk246vzi+UG9+QkG47vjq/UG58Q0K67fjq/EK58Q0J6bbjq/ML5cY3JKTbjq/OL5Qb35CQbju+Or8u5GbCoOWtJB9C34MJA59K+jo6u3S7mJz4xiilp8E33S4mJ74xSulp8E23i8mJb4xSehp80+1icuIbo5SeBt90u5ic+MYopafBN90uJie+MUrpafBNt4vJiW+MUnoafNPtupSTCYOWt5Z8EH0PJgx8Krp1dHo6v1BufENCuu346vxCufENCem246vzC+XGNySk246vzi+UG9+QkG47vjq/UG58Q0K67fjq/EK58Q0J6bbjq/ML5cY3JKTbjq/Orwu5mTBoeSvJh9D3YMLAp5K+js4u3S4mJ74xSulp8E23i8mJb4xSehp80+1icuIbo5SeBt90u5ic+MYopafBN90uJie+MUrpafBNt4vJiW+MUnoafNPtYnLiG6OUngbfdLsu5WTCoOWtJR9E34MJA5+Kbh2dns4vlBvfkJBuO746v1BufENCuu346vxCufENCem246vzC+XGNySk246vzi+UG9+QkG47vjq/UG58Q0K67fjq/EK58Q0J6bbjq/PrQm4mDFreSvIh9D2YMPCppK+js0u3i8mJb4xSehp80+1icuIbo5SeBt90u5ic+MYopafBN90uJie+MUrpafBNt4vJiW+MUnoafNPtYnLiG6OUngbfdLuYnPjGKKWnwTfdrks5mTBoeWvJB9H3YMLAp6JbR6en8wvlxjckpNuOr84vlBvfkJBuO746v1BufENCuu346vxCufENCem246vzC+XGNySk246vzi+UG9+QkG47vjq/UG58Q0K67fjq/LqQmwmDlreSfAh9DyYMfCrp6+js0u1icuIbo5SeBt90u5ic+MYopafBN90uJie+MUrpafBNt4vJiW+MUnoafNPtYnLiG6OUngbfdLuYnPjGKKWnwTfdLiYnvjFK6WnwTbfrUk4mDFreWvJB9D2YMPCp6NbR6en8QrnxDQnptuOr8wvlxjckpNuOr84vlBvfkJBuO746v1BufENCuu346vxCufENCem246vzC+XGNySk246vzi+UG9+QkG47vjq/LuRmwqDlrSQfQt+DCQOfSvo6Ort0u5ic+MYopafBN90uJie+MUrpafBNt4vJiW+MUnoafNPtYnLiG6OUngbfdLuYnPjGKKWnwTfdLiYnvjFK6WnwTbeLyYlvjFJ6GnzT7bqUkwmDlreWfBB9DyYMfCq6dXR6Or9QbnxDQrrt+Or8QrnxDQnptuOr8wvlxjckpNuOr84vlBvfkJBuO746v1BufENCuu346vxCufENCem246vzC+XGNySk246vzq8LuZkwaHkryYfQ92DCwKeSvo7OLt0uJie+MUrpafBNt4vJiW+MUnoafNPtYnLiG6OUngbfdLuYnPjGKKWnwTfdLiYnvjFK6WnwTbeLyYlvjFJ6GnzT7WJy4hujlJ4G33S7LuVkwqDlrSUfRN+DCQOfim4dnZ7OL5Qb35CQbju+Or9QbnxDQrrt+Or8QrnxDQnptuOr8wvlxjckpNuOr84vlBvfkJBuO746v1BufENCuu346vxCufENCem246vz60LumZww+OUvf2k+8pGPmOuuu87ceOONZvPmzWbvvfc2T3/6083hhx9uXvKSl5gnPvGJrWg/+RD6HkwY+FTS19HZpdvF5MQ3Rik9Db7pdjE58Y1RSk+Db7pdTE58Y5TS0+CbbheTE98YpfQ0+KbbxeTEN0YpPQ2+6XYxOfGNUUpPg2+6XUxOfGOU0tPgm27XpZydnjB48MEHzbe//W3zne98x3z/+983j3nMY8wTnvAE85SnPMUcdthh3na44YYbzCmnnGK+973vebfLyt12282sWrXKnHHGGbVpJrVBPoi+BxMGPhXdOjo9nV8oN74hId12fHV+odz4hoR02/HV+YVy4xsS0m3HV+cXyo1vSEi3HV+dXyg3viEh3XZ8dX6h3PiGhHTb8dX5hXLjGxLSbcdX59eF3J2cMNi6dav54Ac/aM466yyzYcMGr/Pzn/988573vMc873nPq7bffPPNZsmSJWbjxo3VunELxx13nPnUpz5lHvvYx45LVnSbfAh9DyYMfCrp6+js0u1icuIbo5SeBt90u5ic+MYopafBN90uJie+MUrpafBNt4vJiW+MUnoafNPtYnLiG6OUngbfdLuYnPjGKKWnwTfdLiYnvjFK6WnwTbfrUs7OTRg8/PDD5vd+7/fmvk4oBC1BfPHFF5vXve51Rr6G6MgjjzTf/e53Q9mGtp922mnm/PPPH1o3yReyD74HEwY+Fd06Oj2dXyg3viEh3XZ8dX6h3PiGhHTb8dX5hXLjGxLSbcdX5xfKjW9ISLcdX51fKDe+ISHddnx1fqHc+IaEdNvx1fmFcuMbEtJtx1fn14XcnZsweOc732k+8IEPRNvusssu5qtf/ercbxX82Z/9WXQ+m3DhwoVzX3v05Cc/2a6a6LN8CH0PJgx8Kunr6OzS7WJy4hujlJ4G33S7mJz4xiilp8E33S4mJ74xSulp8E23i8mJb4xSehp80+1icuIbo5SeBt90u5ic+MYopafBN90uJie+MUrpafBNt+tSzk5NGPzgBz8wcuG+7muI6uB/93d/d27Tl7/85aEkL3zhC81rX/vaud87kN9DkB9BPvfcc80vfvGLoXTy1URr164dWjepF/JB9D2YMPCp6NbR6en8QrnxDQnptuOr8wvlxjckpNuOr84vlBvfkJBuO746v1BufENCuu346vxCufENCem246vzC+XGNySk246vzi+UG9+QkG47vjq/LuTu1ITBO97xDvPXf/3XI64vetGLjEwKPOpRjzK33nqr+cIXvmDuvffekXSDK97+9rfP/aXCggULBleb//qv/zInnHDCyFcX3XXXXeZxj3vcUNpJvJAPoe/BhIFPJX0dnV26XUxOfGOU0tPgm24XkxPfGKX0NPim28XkxDdGKT0Nvul2MTnxjVFKT4Nvul1MTnxjlNLT4JtuF5MT3xil9DT4ptvF5MQ3Rik9Db7pdl3K2akJg+OPP95cccUVla9c7F+zZs3cbxRUK7cvyF8LyG8PXHLJJYOrq+VXvepV5l/+5V+q1+7CDTfcYJ797GebwYvyX/nKV8yLX/xiN2nx1/JB9D0G6+bbzrrmAnR6zc2a5MC3iVbztPg2N2uSA98mWs3T4tvcrEkOfJtoNU+Lb3OzJjnwbaLVPC2+zc2a5MC3iVbztPg2N2uSA98mWs3T4tvcrEkOfJtoNU+Lb3OzruXo1ITBk570JHPbbbdVxm95y1vM3/zN31Sv3QX5ceQvfelL7mpz0003zX0N0ciGgRWvec1rhiYVPvKRj5g3vvGNAykmsygfQt+DCQOfSvo6Ort0u5ic+MYopafBN93Ozbn1vnvMhrWXma3332O23Hfv3PPW++81C/bdfy7pgn0PMAv327G86/FLzS5HLHGL4HVDAeK3IVjD5Pg2BGuYHN+GYA2T49sQrGFyfBuCNUyOb0OwhsnxbQjWMDm+DcEaJse3IVjD5Pg2BGuYHN+GYB1N3pkJgy1btpjdd9/dbNq0qaL+4Q9/aA4++ODqtbsgX0902GGHma1bt1abjjrqKHPNNddUr+sWPvzhD5u3vvWt1eY///M/Nx/84Aer15NakA+i78GEgU9Ft45OT+cXyo1vSEi3Hd90v03fusFsXneD2XDFpdsnCMZ/nZ37LjKRIJMGTB64Ms1eE7/NvJqmxrepWLP0+Dbzapoa36ZizdLj28yraWp8m4o1S49vM6+mqfFtKtYsPb7NvJqmxrep2Hz6mJvo/vErXzUnn3wy58HzbL1b6syEwfr1680ee+xRNYBMHjzyyCNGOoFxj+c973nm2muvrZKcfvrp5rzzzqte1y38+7//u3npS19abX75y19u/vVf/7V6PamFuv1jwiBvC3AwyevploavK5L+OubgzR3wcb5iuf781dsnCi6LyzAmlZ042P30M8yC/Q4Yk3K2NxG/k29/+t+y5vjiW1agbOnEL75lBfKXPjiOuPIzF5vnPfHxczd78JegOutBV/7CVmcZm5v+N1YqnI74DRvFpLA30a2/YHVM8qE09lyYm+iGWDr/ojMTBiK91157mYcffngOPXbC4A1veIP5xCc+UTXUX/3VX5l3vetd1eu6hSuvvNLIjynbh/x+wuWXX25fTuxZDiS+BxMGPhXdOg7aOr9QbnxDQvXb7cGbO+DrjZpuWX/eapMyGAq9jx0s7blyVSjpzGwnfqff1PS/ZdsAX3zLCpQtnfjFt6yAvnQ7jkgZt9lxGRexRtvBunJ+MWozqTX0v+nSxG+6nZtTLDeuvTTLTXRS9m7HvZK/OnCRO/q6UxMGv/M7v2Nuv/32ijr0lUSS8H3ve9/QBMGnP/1pc9JJJ1Vl1C188pOfNH/4h39YbZblf/iHf6heT2pBDiK+BxMGPpW4dcxAxzmlpsI3VW40n1hyB/yoi3bNQ6efaDbfeENtMTLIkd8q2PnIJWbh9q8cWrj/gWbLvXfPpd+y/SuLbIyPK2Pnw5eYX1n5gZn+awPitzbEsm+wMen77Y277rrLLH7Wc/ntjQzq45yleH7jJA15nCvxm2Yam4uLVbFS4XTj4lhy0z+EDd0UXMRyRfK8lljl/CKPpaYU+t80PeI3za0u1yMrz8w2UTD4HnaylpvoBlW6t9ypCQP5WqDBu/zlov4pp5wyVv2jH/2oedOb3lSl+exnP2te/epXV6/rFv7f//t/5r3vfW+1+Z3vfOfc5EO1YkILTBjkgWYGOo9jXSnWlzt/6oSar+cO+OZmoRwSpzIo8v1OgVzg3+34V27/t9RbjG9QLwNWKVN+JNk3eSADJRkkzeIPIxO/3jDKupJ+NytnbWHWmTswa4mSNuCaxJacadzFbCZlklnnxgD8BlK637icXMQap5O+jfFZul2JnL7zixLv05cyid98LSnjMPH0ncPad3FvopOv3ZXxhDzkJrqTj32J+dgrjx9bhpwP73Xempm+ic56dvG5UxMG559/vlm2bFnlfPjhh5tvfetb1WvfQuqEwaGHHmrkR5PtI2ZywqbN+cyEgU6TGWidXyi3HGj487WQUvPt3AHf3CyUQ2L14WUnjiSTQYz87kDdRIFkiBnMb9j+Z5xyt5Y7GTGLkwbE70iYZV1Bv5uVs7Ywxg+1NKoNuKr4GmWWvkIuZnMzRyO2qMTEcRRTUiKJ29iLWC95xzvNf3zv9rkLUdIm8oj9S9BZvIjF+CwpJItlijm/KPbmHSyY+M3XaHXnxfIOoZvobC0G41f6Xylz3E10ofNtWy7P7RLo1ITB/fffbx73uMeZzZs3V4ry48S///u/X712Fz7+8Y+b0047rVotP1wsf6kw7iETBTJhMPiI+fqjwfS5lpkwSJdkBjrdLiYnd/7EKDVLIwda7oBvZhab+sHjnz9yMV8GRHudvyaqiMFBUV2GugsIs3JSSvzWRUa+9fS7+SzHlcT4YZxO+jZc0+2a5JS+mJs5mog1S0scN/Nqklpi13dzh5RRdxFr3PiMi1g79BmfNYnCyaYdF7+TrUl73434zds2df2s9LG7Lzuj0V/G++JXbqLzTRzE3KSXd08pLYdApyYMZIfdHzF+4hOfaL797W+b3XbbzevxyCOPzP3o8U9+8hNz0EEHmZNPPtnsvPPO3rR2pfsev/3bvz302wk23SSe5UPoe/AbBj6V+XXMQM9b5F6Sg4ycLDX587WU74CflYustn3qDt4xB1ffwdqWa59n+Q54X38gf2IZ+52KMb7WWU5OZZDk3tHZZHLCltWlZ+K3bGul9Lv2z4YXL15svn/dtVG/vTFr/a6v1Xz9xWA698+zU45v0h/M2m+cNHVNid9ZdB2MTVlmUtEVyfu6aRzTP8T7140jxl3EajI+m9WLWHWunF/Ex2aplE3it1Qd2l4u8Zu3heo8U85Tx8XvrN9El7fVplta5yYMfvSjH83d/f/zn/+8kov9IeMqw5iFH/zgB0Z+XHnwrxhWrVpl3vGOd4zJVW6TfBB9DyYMfCpm7k+huEPbb5Njbd1BRsqWA02J74CflT9f4w74HBE6Wobv4kmTyQJb4rhBkU0z+Oy7AzHlfQfLbPMy8VuudTT9rq3VYPxyx6VVGX4WZ8YPwyY5Xmlc7fs3jd9Z/O0YcW56M0fKpMysTipq4ngwfm1Mx/TDsxTH4uv7y4KYi1g+X+vsPs/iRSzGZ24UtOt1k/htV80nUxviN6+zz3PPFR8Y+9W842oQil+ZqH3k7OVDRczqOGIIoUMvOjdhILbXXnut+dCHPmRk0mCPPfYwK1asMEceeWQW9ne/+91z5dnC9tlnH3PbbbeZRYsW2VUTfZYPoe/BhMGoSt1gkzsoRq1S1tT5jrvzx75P6GAi6Wb1zh/Zd98da00uLsf4yvvIQ06WZuUOeNnXB192zNx+2/9iTj5tWvvcxNfm8Z2U9nWARPzaVs//rOl3bW3Gxe8s97vWR57rnBk/DCo1X9a42ncLxS+/HVMfv2LIzRw2ktKfNXE8Ln5tjaQfnvU4Tr2IFeNrnQefZ+UiFuOzwVZv33Jq/LZvT8rUiPjN6+rzfPT2HyPe5YglSW8UG7++/rbJdY6kypEpm0AnJwyy7b2noNtvv91cdNFFc5MRMknw+te/3jz5yU/2pJzMKvkg+h5MGIyq+AabTS4OxnR6vouAUpO+Xgi0ynUnS/haofRn7oBPtwvldG3lc7po7dWhbN7tMf2Dm1H6i4e2/9Dy4A8h922A5BqLQco+NvWdhb/gyNHv2pgc5zurxzVrI8+MHwY18i1rXW1NiF8rMfo8rp+I/S7icb5MKtI/jEZd3jXai1jj4ndcTft+EYvx2bjWb8+21Phtzx6UqQnxm9fVN1ZIOV9zaxUbv77zNs1khVsPXpcTYMKgnG2WkuVD6HswYTCs4htsNukEYzs7eVe5uDIrd2hbZd9Jf5M/X2viK+/pG8T3cVJGYok74G2U5X322TaJ2cHaNI3fwbxuLEsc9+VrBnzGTSYRrVOKr7y33JG54YrLbDG9m7jV9rsWJtbXjVXJ38d+17rYZ8YPViLvs9bV1iYmfqU/mLVxmfj4LgDI+ib9cKyv29/K+9A/iML4R4yvLWEW49gXw6XO36zz4HNfL2IxPhts5fYuN+kf2rsX+WtG/OY3dcdkTcYJdbVpEr/Spv+7cvnQb2DmqENd3VifT4AJg3yWRUqSD6LvwYTBvAoz0PMWJZbcA4y8R8qMcJODiryH7+JVk5MIKaPtDzd25eSbO+DztFpOW6lR0/gd3Av3M9SXOM5pnOIrg8++/gWHGzMSTyn9ro3DWN9Z6HetiTy7MSzrUj6fsb5Svjx8F6lS3ndHae37P5er3bNY3767Wg/7zKSilSjznCuOY+PX7sUsxbF7rEu5gNTU1zrLc18vYrmxy/nFYKu3a1kTv+3ak3y1IX7zWUpJvrG95pxisHZN4tc3QZyrHoN1YjmvABMGeT2zlyYfQt+DCYMdKsxA+6Ij3zpfx55yUaPJwWSw9r6Tpr4cWHyxyx3wg62vW3YvpKTaSi1S49fugTtQ05y42TKn/Uz8lmuBXP2urWHT+O1zv2tN5NkXw5O6WCXv7d6x3Ze7tXO52rZqEr99drUe9tm90CrrU8ZHTXzlPdzjmaxLGRdKvjY/csVxU18xmZU49sVS0xhO8XXjznfMbVoPt8xpvvbFbuoYWOPrtq8c4/ryF7a52lfjm6sObSuH+M3fIu4ETK5jdkr8lqpLfjVKtAJMGFiJlj7LB9H3YMJgh4rb6WguxKV0enJQ6+sdriLsnpCmXEyx8Zvq29c/X8sZu2Kc4mvbxm3nXAMJW/6kn32DzV9d931VNTS+vvp0+WRUIIlfVTiNzex+HjX9rn2jJvEr8drXftd6yHPOGG7ia+vQ1/FDTldr1cS3r67WQp59Fzg1x+0mvvL+szCpmDOOm/qK8SzEsWucGsMpvmI8+MhVl8Eyp7Xs7ovm3Fj2QePrjmdS23halpN4X43vJOo36fcgfvOL/+zIJwwVuujyq8yC/Q4YWpf6omn8yrFt8OuYtf1Tar3JFy/AhEGN1datW803v/lNs3DhQrPHHntM7YeP5UPoezBh4L87kDsofNGSts69M0RKSb3I2fRgMlhj34lxaj0Gy532MnfAl2sB92KG9gRFE792L/t20kT82pbN+5yz37U1S4nfvva71sQ9YZH1jB+sTvpzTldbi5T4dT9Hfbuz1T2eaCYVU3ylnfs8qZgzjlN8bez3PY5zXMTS+FpneXbbvMsXsRifDbZsu5dzxW+797JZ7YjfZl6h1L7xvPYmOvueqfHrjmH6cF3HmvTxmQmDmlb90Ic+ZN72trdVW6+//nqzZMmS6vWkFuSD6HswYZD37kAxTu30JK/b8WkvUEqZ0364M/zafdL45q7LtG3dExOpj/bgrfH11afLB283XlIvBA7GicZXynFP/LWfp8G6TXrZFy/Eb55WcGM3V5ykxG+puuSR0pXi7pv24lCKr92DPo0fcrtaoxTfPrlaB3l2jyWyTnu8TvH1XYTQ1kP2pQ2P3HGc4msd+hrHvvhJHUdofK2zPLvWXYxnxmeDLdqN5Vzx2429HV9L4ne8T8pW93i2+2lnmN2XnZFSlDdPSvy645hc5zreCrJSLcCEQQ3hWWedZc4555xq6xe/+EVz7LHHVq8ntSAfQt+DCQNjmIH2RUa+dTnu/LG1STmY2Lzy7A4gtBd3BsuexjJ3wJdVz33Sp41f2Vv35FhzR2hZvXDpxG/YKDVFzn7X1iE1fvvW71oPeWb8MKiRbzmnq61Vavy6J6RdHzdYD/fkX3uineor9cldF7uP037OGccaX3GYlThOvYil9R2MNdda+9kaLHtSy4zPJiWd531yxm+eGk23FOI3v797nM5xE52tZWr89qGvtQaz8MyEQU0rM2FQA9OS1e6FDKlW6p0pdpdSOz3J76tPF+9MsRbuxU1ZP01fef/cF4GlzGk9Shy8NfErDn06eLsn+zm+q1Hr6/YRXb54RfyW6TlK9Lu2pqnx26d+11q4n0VZP83jm68+XRw/+PZD62rbLCV+ffXpoqs1sM9MKlqJMs++uNHGcUr82r3z1acPcZxzHKHxtc7y3IdxcE5Xa6P17YOrtSjxrPUtUadplUn85pcvcU48WMuU+HXPd7p8E92gRV+XmTCoaVkmDGpgWrKaGeiyDeEesFPv/LG1TDmY2Lz2uU8DztwX4XL49ung7V5QmebJvo1f96S/yxMGxK9t1bzPuftdWztN/9Cnftd6MH6wEnmfc7va2mni1+2runjHsHWQZ/c4LeumfXxzjbt+MTt3HGviV9pXHq5x1+NY9inXRawcvlIfebifry5exHJjRft5zOHbB9cdEZL//xy++Ws1vRKJ3/z2ufpaX81S47dP58Q+l76tY8KgpkWZMKiBaclq98JKjj+vSu30LEmfLqzga1u1zHOJg7c2fvt08M49YSBRoPWVMkrUS8qd9IP4LSNeot+1NU2N3z4d16xFCedUX1unPjiXcLU+qb59cLUG8uwaa2/msGWn+kr+vhtzfmGjJO9zznGEJn4H96oP4+CcrtZG69sHV2tR4lnrW6JO0yqT+M0vX/rcMzV+S9crv+TslsiEQU3bM2FQA9OS1cxAl22I3Afs1IPJ4F726Q6V3AfJHL59GtC3MX775Ev8DvZM+ZZzx62tmaZ/6FO/az0YP1iJvM+5XW3tiF8rMTphwMXseZtcS7njWBO/dp/62A/nGkfk8LXO8pyrXoNlTnI5d/1z+PZp/Ju7LXP45q7TNMsjfvPrlzq3kJpq4jd3W+eXo0Qr0KkJg2XLlpk1a9bYuhd93rhxo9m0aVP1HvzocUXRioUSnZ+m0xOUPg2I8C0b5iUOktr4lT0uUa+ykv7Sc5/wy7tofft0wl8iTrS+0kYl6iXlTupRot+1dU/17dNxzVqUcE71tXXqg3MJV+uT6tsHV2sgz6WMU32lTn06tpUy1vhKnfoWx7mdtb5SH/vo+jiiRP1z+Jaol22zrj/n8O26ga1/iTjJ4VuiXnafSz+XOCcerHOKb9/GDYMefVzu1ITBM57xDLNu3bqptEPbJgwEYdu2bdVFLPthnZVnt+P+tW/dMXWPLffebR582TFVfMp3lD/2iv+Yer1S4qSNvrIfba1X08/dLYcebA7cdecqVp5+613mrg2bpvp57lP8fmTxb5jX/dqjK98/vfP/Mxf/z0NT9f3Fxz5s1l+wuqqTfAfxr5x9bif7B+J3pyLt1tb+ra31atrv2vRt3J8+9L+4lukXbNzK8wPHHW223n9vdRxZdPlVZuH+Bxbpjwbfd9w48qDddjE3HXJQVae7N242T/v2nVM93o6rb2i/iOPycSzts/Z3DjDPffSjqrh52e33mWsf+sVU42bjuuvNw8tOrOokv2HwmAsunurnKxSv7nbGZ5OJX9ed13ncid88joPx+PPTXm8233hD1a/J75rseuSzsvZrVeGRC0wYREK1JFmnJgwOO+wwc8stt0yFrm0TBprB8GAn0tVyfnrE44fiQH70rQ371dZ6NW3nNp6USvv2xXcSB++mn4ej9trDXP7E/arP1X8+/Etz/G33tOJz1TR+f3n5JeaRs5dX+9KGi/PuJMaq+x4w77/vp530JX7LTNbT75ZxdfuPth5H2lov16/udVvr39Z61TmOW9/Gi9lS37bWq+k4qM3jzD7FsTgzjihzvMO1jOu4fjmln6E8fzsRv34XTby455//9NOHzZt++OPs55/VSXfEQqnfY4p4a5IkCHRqwuDoo48211xzTcJu6rO0ccJAv1fdLSH3n2Xbg71GpE9/Mpz7z9dy+PZpNto9UGq/hziH7/rzVo/cAb/nylWaj8TU8ub+LObwdS+oyJ2hC/Y7YGpGmjcmfjV69Xlz97v2nTTx26d+13owfrASeZ9zu9raaeI397HA1mlazyWMNb7WwT2+yU08XX3kNs7h27c4lthwxxFyY0fKmDOHr41Vt065flTclj+JZ3cfOL+YhHr6e+SM3/RatCcn8Zu/LTasvXToJjr5BoxFa6/O8kap8eseZ7X9VJadoZBagU5NGFx44YXm1FNPHdqZxYsXm6OOOmpoXY4XN998s7n11luropgwqChasVDiwkpqp2dB+nRhBV/bqmWe3YN36onSYO208esO0rp4ojTokTuGNb5ue+ccrA3u86SW3f0hfvPI547ZwVqlxm+fjmvWo4Rzqq+tUx+cS7han1TfPrhaA3kuZZzqK3XCWBTGPzS+UnLfjGWf3HGEZlyk9ZX6yKMPF7FcV8ZnO9q2zf/nit8272Ns3YjfWKn4dO6Es+SUryXa5Ygl8YWMSdk0fn316fJNBmNoerOpUxMGov7iF7/YfO1rX6sa4NBDDzU33nijWbhwYbUux8JZZ51lzjnnnKooJgwqilYsuBc3tTOTTTs7H0Kf7tB2fbUDzhy+bp26fEHbPVhqTpQkFnP4uncIdvkOeDFxB50aY62ve5Gny7ErtsSvKOR/uH2ctt+1NdTEr1unrseumLj7xPjBRoruOberrY0mfvs0LhMP91iS46Rf4yt16tvF7NxxrPUV477FseyTO46QdSnxnMO3rj5dvIjlumrGvuKSw7dv5xfikuuRwzdXXdpQDvFbphXcscM0zy9K1aWMHKWKQOcmDO644w5zyCGHmPXr11ctuHr1avPmN7+5ep1jgQmDHIrlynAvBubo+LQHbfcko8sXVlxf7YBTIkHr24c7fwY/Ee4BM+VEabA8jW+J9h6s2zSW3UGn1EFzYTDV17WVemjbWsqY9oP4zd8Cbqzk6HdtLVPjt2/9rni4zowfbJTonku42hqlxm+fxmVi4e5PjtiVclN9fXXq8thX9uf/Z+/9g/+oqvv/27wDIQQwKsUSSDFDFWUKIgFCvyJKS4szJbSSgVJx+h3aQhwsmc7gl0g70dCmfwCVTjN1rMShzrTB2gK1Jh2pfvFHwZRgDPCJrWLFrxQCtVWhCIQk73f4vs/77d3X7n3d3XvuOfe+Xrv7eu7M+727995z9u7jnL177z372s3hxxq+fWRM50SL24+Q+rOWb8q6zJ3YmP+5XLV9Tg1f93pK2a8ZM+Zkh9fwTVaJFimC/6Y3hnsd0hG07YKtZYz/ug8YpKyHrQ/W6Ql0LmBACG699VZzww03FDSWLl1qHnvsMXPccccVadoNBAy0BPPKu5OB2g5ITGNXd2Z9eoLC5UvnrLmxaPn66tPFJ3/KvuPevDU+rOXrds66PuC3nN3JFSljDV93wlU6ILbn1JY1/De9JXztnKbdtTWU+q+vPl1vd4mJe17SdkHL18rTug/9h9RcLR+p//aFq+VA65TtrtWr4Us63HucJjBv6zTOdWo/1vIlFn1oH3w2df2ZysTe81Lw7dsklstVc4/T8u3r+MLnz5I0LV/JMdsuA//NYyH3Wlx45ipzzO1bVQeL9d8cdVCdAIRZBDoZMJiZmTHnnHPO3KuI7FnStw3uuOMOu6teI2CgRphdgdvoxHYy3QrGNnpl+ZQ3t7LecW67fLUTnRq+qesyTq722O6glNI1A20pX9d3qR7aa4l0tGHxMZZ2kCR8Xb8lJl1/1ZO1q48t/NfSka9dn9G2u7YmKfw3VV1snca5djlr2zwJX3v+bhusmdyxOse1Ts3VnoeEb5+4Wg6+dlfru6RbwpfkfPXpQ1AxtR9L+RLjPvoxnZddXNaSPpqGL9UjRR3s+bRh7bsu0T9rg2X8ddD6r19rd1Phv3ls5wuMpnhAkOu/bjtLZ5mi/5KHFrSWCXQyYEAn8PDDD88FDaanp+fOh5x1x44d5txzzy2fn3gbAQMxupEJpuxEcxu7upNzG8EUDXDdsUaV7vKl40obdg1f3w1OWo9RseMeB0/Ac0nJy7nv/iVNsdenxH9d20qOKz/r0Ui65yid6JTwtWfoPt3a9UntlO2uZSTh2+d2l7i4nKW+S7okfEnOLn3qP6TkavlI+faJq2VBa/e8tG2elG+OupTPc5zbKf1Yw9fHOLb/Mk6OnGP77jUx55iaL9W5D2MM9M843jf+Mlr/Hf8Z5KkB/Hc0XOkoMe2tWyuu//raeW3fxa0L9vMR6GzAgJCsX7/e3HLLLQWdNWvWmLvuuqvY12wgYKChNxpZRKDzc3YHppInf2wtuTcVW96uU9bB6mzL2ufDUsYSvi5b4tKXJ+CtjYnxvts3m/3b77FJc+vYDlIMX7ejSweU2rVS6ZbtwH/zGMS9LlP4Toz/0lnlqEMeWjKtPt/FE5gylmWp1Fyt7lj/dSd8SU8fJgHpPHKcWyxfqodvAqAvjFP7sYRvLluT3rYtvj5TTB9Nytfnw32ZxPL5sLQvIeHr9iHI5/o2vkh1HUn4pjp2W/XAf/NYhrg+v/ZKc+iZvcUB6IGZRRevMYvXrivSYjZC/utrZzUP6cTUDWXTEOh0wIA+fHz55Zebhx56yCxYsMBcdtllhj6AnGLZtWuXufHGG82zzz5rli9fbrZs2WKOPfbYFKqjdNBF6FteeeUVX/LEpbmdTGkDFGrsmsD27QnX8rn6GvmYTrzVJeXr63D2ZUBq2eAJeEsi39rXQaKjcQdPMf7r81lpu5SPSDrN8N90LK2mVO2u1RfjvyTj8+G+tbt0nug/EIX0Syqutmax/ktyfe6X0fm51yj3Xkay7iLhSzpS1sGtUxv2U/mxlC8x6LsfWzv7+mjcSSwpX999tm99NfTPrIe1dy313/aeUbqawX/TsSxr8gVjKF8SLA35r9tPsPXo45jCnlsf150OGPTRIO450YXoWxAwmKfia/SkA6dQo+ezg68h7NsTFO6giTiMImjg68xLbmY+u7UpjXwYT8Dnt4ivraCj0gBx8TXrzKLVaxorEWof6KlPsmP5qQ2rsM8dI/ivtXLadap219Yq5L+23KS0u3S+vjYB/QfrCfJ1Sq62Flz/pfKT0C/zXaeSfpmEbx3jvt3nUvpxjP9am0yCH9tzpbWPN6Vz+v2xfH1s6Vh99GGML8iy7V5i/bfdZ5OudtQmwH/T8Sxr8vUhKJ/GxEs23mIOW7mqXLxx2+e/pJ/GMZM2Jm4E1eFMBAxabjy6CH0LAgYDKohAD1jk2KIbtvbna76bSVNdfTeyvj35Uz5/H2PK505exfD1DZT6zJbDmco0dZKa+DYFCpp0luvV9W34b3oL+piSP0l+Ntzkv+WaT1q7S+eO/kPZA9Jtp+Bqa8P1XyqfOtBm69DGdapzjeFLHHztBGdSt40MQ3VK4cexfKlOqWwbOr+25ft8i+rY1JeK4Uv6J20Sy9eXIKYYXxCF8S8x/jv+2o6+BvDffMzr2ls6IrUP9IqiUODA9V/SSffN6d07vRXvW1DWe5I9TETAoOVGpQvRtyBgMKBCNxNEoAc8cmwR4+cueeeQ6phBontTGVL2kwTfhDZl9f0mU8eYBkp4Ar7OW+LT69oLq4l4Uwdp4ezfgmUnmqnZfVqT/87sfdLMzL73kXRMz3aK3O8iWB205g7GyjJd3ob/prdeHdOYdtfWKtT+TnK7i/6D9ZJ067p2VvoUfMh/qea+SdY+t8PEWPswh7U4hy+V9U0w0D1z6bavWFW9WqfyYy5fgjdpfuw6jM/HbJm6SawQ30mfxKrrS2B8YT1rvOuQ/463duM/Ovw3nw18/Yjy0eyY+PCf/ArfjompDMnSmPj/vuiXzZbfe19wTHzUxpvnxtNl/djuBgEEDFpuPwWAgAAAQABJREFUJ7qJ+BYEDKpU6ho87mAx5mbtm1jp84DJkq7rxNO5h36+xuFL+iftyR/L1q7r/Jjymzg38cUT8JbuYE2c92+7x+zbkuabNwPN81uSCV1XRxf34b/praZpd21tmtoHtLvzgx534pXYof9gPUi2rmsPuFztUZv815aZ1H4ZMcbDHNYL8qy1fszxX1vzSfVje/52Xcfc5pcnsS644ALzL9/6djERRbIxD3ZMyiRWE1OML6xnjX4d0z6MvnbtOSL8N58tiK3vwZlUR5zUMXEqfm3Qg4BBG6zQUAe6kfgWBAyGqVCD5xs4UUcIT2gP85Kk1E1eka66J3/sceo6RaQTP1+zlOYnr5pu3HaghCfgB8ykW6k7SdQporaGfpEwqUuIKfw33jM07a49mtv+ot21ZObX6D9UeaTa03K19XD916Y3BcT7/qtEy6CufWiaBLSydl3Hl/JJPx7mwPjC+sqo1qG+hLYekziJFWKK/pnWq2TyTe2vTGM/peC/ee1KfF/YuL72dUKxR6d5oUkJyMay6Vp5BAxabjG6ifgWBAx8VOqfFKTSTYOnppt104C0Sae/ht1PpRuK72lMe2a2w1n++drUCcsN+SzJ4skfS6p+TZzwBHw9n9Q5xJsmRYh53XsX645p/X3SAwVlPvDfMo0028Q0tt21gauTFh1mvrPjAfartCa1g9/EuOlej/5Ds49LuVqtPr7ol1k68+u6oAHl4mGOKivpntSPff5r6wA/tiTq18Qdk1j1fGJziCfGF7HU8pVvah/yHbW7muG/+W1n21w6EsbE+Xl34QgIGLTcSnQj8S0IGPiozKdRQ4cntOv5pMgJMdYeYxKf/PExS80ZT8D7KFfTiDlNvtA3Cmaenv1ewTNPzf7tnStEk4YLjp/9rsGy+fWi1ZdO9K8JquSG9+C/w0w0Kal5unVBu4tfeLk+kWo/5Ls28Or+co6OT7Lnv+mN5r6tf41vxzQYhDghqNgAKEGW1I9pLIdvIOkMQOwpcEALJrF0LEk65MuxR8D4IpbYoDyCBgMW3C34L5eUrhxxDo2J/+YL/6+56oN/aBaetSr4kWRdbSA9LgIIGIyLPPO4CBgwQTnFqIHDExQOlAy7xBlP/mQA66i0N2w8Ae+AGdEuOvM60PBfHT9XGu2uSyTtPvFF/yEtU9IGrumZuhqJcdMDM2752H0EFeHHsT6Tozz5uZ3E+uKn7jRvf+PJtQ92YBKr2QKWJcYXzZxy5WJ8oSML/9Xx00rDf7UEuyGPgEHL7YSAgc5AqQdPeILCbw/ijCd//GxSp9rOEZ6AT022WR86Rc18uLnwXy6pcDm0u2FGmhLEN+XkK/oP89YAV41X8mRt2xD7JHaddryLeJgM/HiYybhS0D9LQ5582gZi8AvbNEw5WuC/HErhMvDfMKMcJeC/Oai2SycCBu2yx1Bt6CL0LXglkY9KfZq9ieAJinpGqXIsa86ENp78SUMdN+s0HOu0gG8dmTTp4Kvn2NTuPnlg2qw4923Fq7TQ7sbxtmzRf4jjFioNriFC+nxijIc59BybNMCPm+jkz0P/IS9j8AXfvATyaof/gm9eApOhHQGDltuZGjrfgoCBjwovzXbuORPaeEc5jymnFG7aHEryMuArZ8eRBF8OJXkZ8JWz40iCL4dSuAz6D2FGkhIhrvd/+3Hzi7/5nrlvyKBfJiE8/yqduqeHEVSUMXWlQn6MbyC5xNLs4/6WhmOdFvCtI5MmHXzTcKzTAr51ZNKkg28ajm3WgoBBm60zWze6CH0LAgY+KvI0NHZydhxJ8OVQkpcBXzk7jiT4cijJy4CvnB1HEnw5lORlwFfOjiMJvhxK8jLgK2fHkQRfDiV5GfCVs+NIgi+HkrwM+MrZcSTBl0NJXgZ85ey6JImAQcutRReib0HAwEdFl4ZGT8cvJA2+IUK6fPDV8QtJg2+IkC4ffHX8QtLgGyKkywdfHb+QNPiGCOnywVfHLyQNviFCunzw1fELSYNviJAuH3x1/ELS4BsipMsHXx2/LkgjYNByK9FF6FsQMPBRkaehsZOz40iCL4eSvAz4ytlxJMGXQ0leBnzl7DiS4MuhJC8DvnJ2HEnw5VCSlwFfOTuOJPhyKMnLgK+cHUcSfDmU5GXAV86OIwm+HEryMuArZ9clSQQMWm4tuhB9CwIGPiq6NDR6On4hafANEdLlg6+OX0gafEOEdPngq+MXkgbfECFdPvjq+IWkwTdESJcPvjp+IWnwDRHS5YOvjl9IGnxDhHT54KvjF5IG3xAhXT746vh1QRoBg5ZbiS5C34KAgY+KPA2NnZwdRxJ8OZTkZcBXzo4jCb4cSvIy4Ctnx5EEXw4leRnwlbPjSIIvh5K8DPjK2XEkwZdDSV4GfOXsOJLgy6EkLwO+cnYcSfDlUJKXAV85uy5JImDQcmvRhehbEDDwUdGlodHT8QtJg2+IkC4ffHX8QtLgGyKkywdfHb+QNPiGCOnywVfHLyQNviFCunzw1fELSYNviJAuH3x1/ELS4BsipMsHXx2/kDT4hgjp8sFXx68L0ggYtNxKdBH6FgQMfFTkaWjs5Ow4kuDLoSQvA75ydhxJ8OVQkpcBXzk7jiT4cijJy4CvnB1HEnw5lORlwFfOjiMJvhxK8jLgK2fHkQRfDiV5GfCVs+NIgi+HkrwM+MrZdUkSAYOWW4suRN+CgIGPii4NjZ6OX0gafEOEdPngq+MXkgbfECFdPvjq+IWkwTdESJcPvjp+IWnwDRHS5YOvjl9IGnxDhHT54KvjF5IG3xAhXT746viFpME3REiXD746fl2QRsCg5Vaii9C3IGDgoyJPQ2MnZ8eRBF8OJXkZ8JWz40iCL4eSvAz4ytlxJMGXQ0leBnzl7DiS4MuhJC8DvnJ2HEnw5VCSlwFfOTuOJPhyKMnLgK+cHUcSfDmU5GXAV86uS5IIGLTcWnQh+hYEDHxUdGlo9HT8QtLgGyKkywdfHb+QNPiGCOnywVfHLyQNviFCunzw1fELSYNviJAuH3x1/ELS4BsipMsHXx2/kDT4hgjp8sFXxy8kDb4hQrp88NXx64I0AgYttxJdhL4FAQMfFXkaGjs5O44k+HIoycuAr5wdRxJ8OZTkZcBXzo4jCb4cSvIy4Ctnx5EEXw4leRnwlbPjSIIvh5K8DPjK2XEkwZdDSV4GfOXsOJLgy6EkLwO+cnZdkkTAoOXWogvRtyBg4KOiS0Ojp+MXkgbfECFdPvjq+IWkwTdESJcPvjp+IWnwDRHS5YOvjl9IGnxDhHT54KvjF5IG3xAhXT746viFpME3REiXD746fiFp8A0R0uWDr45fF6QRMGi5legi9C0IGPioyNPQ2MnZcSTBl0NJXgZ85ew4kuDLoSQvA75ydhxJ8OVQkpcBXzk7jiT4cijJy4CvnB1HEnw5lORlwFfOjiMJvhxK8jLgK2fHkQRfDiV5GfCVs+uSJAIGLbcWXYi+BQEDHxVdGho9Hb+QNPiGCOnywVfHLyQNviFCunzw1fELSYNviJAuH3x1/ELS4BsipMsHXx2/kDT4hgjp8sFXxy8kDb4hQrp88NXxC0mDb4iQLh98dfy6II2AQcutRBehb0HAwEdFnobGTs6OIwm+HEryMuArZ8eRBF8OJXkZ8JWz40iCL4eSvAz4ytlxJMGXQ0leBnzl7DiS4MuhJC8DvnJ2HEnw5VCSlwFfOTuOJPhyKMnLgK+cXZckETBoubXoQvQtCBj4qOjS0Ojp+IWkwTdESJcPvjp+IWnwDRHS5YOvjl9IGnxDhHT54KvjF5IG3xAhXT746viFpME3REiXD746fiFp8A0R0uWDr45fSBp8Q4R0+eCr49cFaQQMaqx06NAh881vftMsXrzYLFmyxLzuda+rKZk3mS5C34KAgY+KPA2NnZwdRxJ8OZTkZcBXzo4jCb4cSvIy4Ctnx5EEXw4leRnwlbPjSIIvh5K8DPjK2XEkwZdDSV4GfOXsOJLgy6EkLwO+cnYcSfDlUJKXAV85uy5JImBQY61rr73WfOxjH5vLXbBggfn6179uzjjjjJrS+ZLpQvQtCBj4qOjS0Ojp+IWkwTdESJcPvjp+IWnwDRHS5YOvjl9IGnxDhHT54KvjF5IG3xAhXT746viFpME3REiXD746fiFp8A0R0uWDr45fSBp8Q4R0+eCr49cF6U4HDL773e+az33uc2bPnj1zfy+++KL56Z/+6blfA7zpTW8yv/Ebv2He8IY3iOywevVqs3379kL23nvvNRdddFGxP6oNugh9CwIGPiryNDR2cnYcSfDlUJKXAV85O44k+HIoycuAr5wdRxJ8OZTkZcBXzo4jCb4cSvIy4Ctnx5EEXw4leRnwlbPjSIIvh5K8DPjK2XEkwZdDSV4GfOXsuiTZyYDBzMyM+chHPmI+/OEPm5dffrmR91lnnWXe9773md/+7d825NTcBQEDLqn+lEOjl9eW4Au+eQnk1Q7/Bd+8BPJqh/+Cb14CebXDf8E3L4G82uG/4JuXQF7t8F/wzUsgr3b4L/jmJdB/7Z0LGExPT5sLLrjAPPDAA1HWOe+888wnPvEJc8opp7DkEDBgYepNIdxM8poSfME3L4G82uG/4JuXQF7t8F/wzUsgr3b4L/jmJZBXO/wXfPMSyKsd/gu+eQnk1Q7/Bd+8BCZDe+cCBvTLgg984AMi6yxatMh86EMfMjfccINZuHBhow4EDBrx9DITN5W8ZgVf8M1LIK92+C/45iWQVzv8F3zzEsirHf4LvnkJ5NUO/wXfvATyaof/gm9eAnm1w3/BNy+B/mvvVMDgP//zP82pp55q6FsFmoV+oXDXXXeZ17zmNbVqEDCoRdPLDNxM8poVfME3L4G82uG/4JuXQF7t8F/wzUsgr3b4L/jmJZBXO/wXfPMSyKsd/gu+eQnk1Q7/Bd+8BCZDe6cCBjfddJPZuHHjkGWOP/74uW8UvPnNbzYLFiwwTz755NwHi+m1RXUfBz755JPnytDHkX0LAgY+Kv1Ow00lr33BF3zzEsirHf4LvnkJ5NUO/wXfvATyaof/gm9eAnm1w3/BNy+BvNrhv+Cbl0Be7fBf8M1LoP/aOxUwuOKKK8ynP/3pilXe8573mL/8y780Rx99dCWddp566inzF3/xF+a2224zBw8eHMp/7Wtfaz73uc+Zs88+eygPAYMhJL1OwM0kr3nBF3zzEsirHf4LvnkJ5NUO/wXfvATyaof/gm9eAnm1w3/BNy+BvNrhv+Cbl0Be7fBf8M1LYDK0dypgcPrpp5s9e/YUlqFfFOzevdscccQRRZpv45vf/KZ5//vfb770pS8NZR911FHms5/97NyHlMuZCBiUaUzGNm4qee0MvuCbl0Be7fBf8M1LIK92+C/45iWQVzv8F3zzEsirHf4LvnkJ5NUO/wXfvATyaof/gm9eAv3X3pmAwczMjFmyZInZv39/YZUtW7aY3/3d3y32QxtU/rrrrqvoIBn6GDJ90+Diiy8uVCBgUKCYiA3cTPKaGXzBNy+BvNrhv+Cbl0Be7fBf8M1LIK92+C/45iWQVzv8Nx3fQ08/ZfZvu8cceuYpM/P03rn1oWf2mgXHnzB3kAXHn2imls1vH756jTls5ap0B59QTfDfvIYHX/DNSyCvdvhvXr5t0d6ZgMG+ffvMkUceWeG2c+dOc84551TSQju7du0y7373u+deV1Que9hhh5mtW7eayy67bC4ZAYMyncnYRqOX187gC755CeTVDv/V820a7D/xxBNmxblvw2Bfj9mrAf7rxRKVCP+NwpW0MPw3Kc4hZeA7hCRpAvjKcR78+k4zvWun2bdlc7QSCiRQ0ADBg2h0FQH4bwVH8h3wTY60ohB8KziS74BvcqStU9iZgAGRe9WrXmWef/75AiJN/q9cubLY527QR5Hf9a53mX//93+viExNTZk77rjD/NZv/ZZBwKCCplc7TYN+OlE8oZLe3LiZpGda1gi+ZRrpt8FXztQO9vdvv3v2acC9UYow2I/CVVsY/luLJpgB/w0iyl4A/psXMfiCb14CMu3U9h7YdrfZv/0emQJHatHFlyJw4DDh7KJ94FDilcH8A49TylLw35Q0h3WB7zCTPqZ0KmBw6qmnGvoegV3uvPNO85u/+Zt2N2r97LPPzr2CaMeOHRU5cvyPfexjZvv27XN/NvPee+81F110kd0d2Zrq41teeeUVXzLSaghg0F8DZoTJuKnkhQ2+4JuXQJx2Ghjtu31zksG+DRwsvmadWbDsxLiKoPQcAbQPcY4A/43jlbs0/DcvYfAF37wE4rS/uPGGJH0H96i2L7Fk4y1uFvYbCKB9aIATyML8QwDQCLLhv3khg29evm3Q3qmAwRVXXGE+/elPF9yuvfZa89GPfrTYj9148cUX515P9IUvfCEoioBBEFErC2DQ3w6z4GaS1w7gC755CcRp3/fxzaLXB4SOgsF+iJA/H+2Dn0tdKvy3jsx40uG/ebmDL/jmJcDXTpOr1P5O795ZK0S/FKBfgi88a5WZmn3l0NQJy83M3ifnys/M/orRPsXdpIP6Esd8fCseQKilPMhA+zBgEbOF+YcYWvnKwn/zsSXN4JuXb1u0dypgQN8YeO9731uwO+qoo+a+RUCvKpIu9BFlCkR85jOfaVSBgEEjnlZmYtDfLrPgppLXHuALvnkJ8LQ/f82VUYN9+sUADaxWrFhhvrPjAdZgf+GZq8xRG2/GYJ9nkrlSaB94sOC/PE6jLgX/zUscfME3L4GwdgoW/Hjtld6CdM9ftPrS2b813nyf/1K/gnTSR5J9wQMKGtCvFut0eg80oYk+vhOKgnXamH9gYRpZIfhvXtTgm5dvG7R3KmBArxE68cQTzUsvvVSwu+mmm8yHPvShYl+yMT09ba666irzN3/zN7XiCBjUomllRuygX/KECiat+KbHzYTPSlISfCXU+DLgG2ZFA3N6jYDvOwW5Bvv0WgH6oCGWZgLw32Y+lAv/DTMaVwn4b17y4Au+eQmEtdcFC6jvsHjtusb7PMd/99O3EDyBAwQNwrbh8A1rmZwSmH9ol63hv3ntAb55+bZFe6cCBgTt93//982f//mfF/wWL15s/u3f/m3u6cQiUbBB3wR4//vfP/f9Ap84AgY+Ku1Lw6C/fTaxNcJNxZLIswbfPFytVvC1JIbXdYP9mMF4E18a7NP3ENxgBOlH0GDYHr6UJr6+8pOUBv9tv7Xhv3ltBL7gm5dAvfa69peCBcfcvrVesJTD8d+6V8RQPwKvJyrB9Gxy+HrEJioJ8w/tNTf8N69twDcv3zZo71zA4Pvf/775+Z//efODH/yg4Hf99debP/3TPy32NRsf/OAHzc033zykAgGDISStS6jrdHImrTiNHSat5Cbn8JVrhyT45vUB8G3m+9zqdwxN5mOw38xslLnw32ba8N9mPuPOhf/mtQD4gm9eAs3afe3vkg/fzH5VUKz/0ljuxZvWVyqFoEEFR2Unlm9FeEJ2MP/QXkPDf/PaBnzz8m2L9s4FDAjcjh07zJ/8yZ+Y559/3tB3DOiXARdffHEyph/5yEcMBQ7oVUW00MXwjW98w5x66qnJjsFVRMf2LfSLCCxVAr5OJyatqozGuYebSl764Au+eQn4tft+fk0fJaQn/2MWjv/SE4L0WoF9WzZXVMe08xXBCdrh8J0gHMWpwn8LFK3egP/mNQ/4gm9eAn7tvvb36NmPEce+ajDWf31BA0m/xX9W/UuN5ds/As1nhPmHZj7jzoX/5rUA+Obl2wbtnQwYjALck08+aXbv3m0OHTpkTjnllLEEC+g86SL0LQgYVKn4Op0xnb+Yxg6TVlX2nL0Yvhx9KFMlAL5VHqn3wNdPlL5ZsH/7PZXMmHbXCsby9X1QTnJce/y+r2P59p2HPT/4ryXR7jX8N699wBd88xLwa/c9lS25j0v919ePkAQr/GfXn1Qp3/4QaD4TzD808xl3Lvw3rwXANy/ftmhHwKAtlqipB12IvgUBgwEVDPoHLNq8hZtKXuuAL/jmJVDVToHT5y55ZyVR86R/jP/63kWMVwpUTDG0E8N3SLiHCfDfbhkV/pvXXuALvnkJDGt3J1pH1X+wNaF7wAsb15vp3TttktHUoVDSww20D36jYv7Bz6VtqfDfvBYB37x826AdAYM2WKGhDnQR+hYEDOappBr0Sxo7TFr5PNOfJuHr14RUHwHw9VFJlwa+wyzdgRJN2C/d9pXhgowUCV9qf59fe2Xl2wmSpxMZ1et8EQnfzp904ATgvwFALcqG/+Y1BviCb14Cw9p9rwSSPt2v8V/frxyk9Rg+y36kaPj2g4D/LDD/4OfStlT4b16LgG9evm3RjoBBWyxRUw+6EH0LAgbzVDDo93lHO9NwU8lrF/AF37wEBtp9A6WYjxQONA22JP7rTjpQ0IK+nRD7/uNBLfq7JeHbVxrw3+5ZFv6b12bgC755CVS1u2M3bbBf47+p61I9037safj2g8DwWbh+g4dmhhm1JQX+m9cS4JuXbxu0I2DQBis01IEuQt+CgIExKQf9msYOk1Y+D62mafhWNWHPRwB8fVTSpYFvlWXKgRJp1vB1X2ugnXionmk/9jR8+0Ggehbw3yqPtu/Bf/NaCHzBNy+BYe0/OuvnKolLP/tls2DZiZU07o7Wf92xpGbil1vnLpXT8u3SuXLr6voMyUkfmtHwxfxD2GIavmHtKAG+k+EDCBjU2Jk+dvy1r33NTE1NmSOPPBIfPa7hNM5kDPrHST/+2LipxDOLkQDfGFrxZcF3wOy51e+ovApIOlAaaJQHDXwDJumrkcr16ds2/HdgUfjvgEVXtuC/eS0FvuCbl8BAu+81QK/Z9Z1BAcGW1n/dBw/wWqKqEbR8q9q6v4f5h27ZEP6b117gm5dvG7QjYFBjhdtuu81cf/31Re6DDz5oVq1aVeyPaoMuQt+CXxgYk3LQr23sMGnl89JBmpbvQBO2fATA10clXRr4Dlj6nqwa52DfVx8M9gf2oi3474CHz1/gvwM+bdyC/+a1CviCb14CVe3uZOviq9eZxWvXVQtF7KXwX3cMh18qDgyQgu9AWz+2MP/QHTvCf/PaCnzz8m2LdgQMaiyxYcMGs2nTpiL33nvvNRdddFGxP6oNuhB9y6QHDDDo93lFu9NwU8lrH/AF37wE5rXv+/hms2/L5uJQqQbWGv91nw5MVafiJHuwoeHbg9MvTgH+W6Do1Ab8N6+5wBd88xIYaHcDBuP8haKtFQIGloR/jfZhwAXzDwMWXdmC/+a1FPjm5dsG7QgY1FgBAYMaMC1JTj3oT9HYYdKq3jlS8K3XjhzwzesD4Dvgi8H+gEVXtuC/A0vBfwcsurIF/81rKfAF37wEqtrdp7M13y8gzSn8131N0sIzV5ljbt9arfiE7qXg2yd0mH/oljXhv3ntBb55+bZFOwIGNZZAwKAGTEuSMehviSEiqoGbSgQsQVHwFUCLEAHfeVhuYDTV6380fDHYDzuyhm9Ye3dKwH+7Y6tyTeG/ZRrpt8E3PdOyRvAd0EgdMCDNWr7uU+P48PHAXin4VrV1ew/zD92zn7Z96N4Zj7bG4Dta3uM4GgIGNdQRMKgB05Lk1IP+FI0dJq3qnSMF33rtyAHfvD4AvgO+GOwPWHRlC/47sBT8d8CiK1vw37yWAl/wzUugqv1HZ/1cJWGc35ApVyR1vcq6u7yN9qFqPcw/VHm0fQ/+m9dC4JuXb1u0I2BQYwkEDGrAtCQZg/6WGCKiGripRMASFAVfAbQIEfCdh5VrUK3hi6cDw46s4RvW3p0S8N/u2KpcU/hvmUb6bfBNz7SsEXwHNNo4fqPa5bo3DM68u1vw34Ht2ui/6AMP7OPbgv/6qKRLA990LNuqqVMBg7Vr15qtW0fzTsEDBw6YgwcPFnZr20ePqWL04WN7kU7a2u3Yvfbrj4+dx8zeJ81zl7yz8Bn6Seurt//L2Os1yX4yadcFzvencL1lvi/8cOXJRRtHG/R0YBv8rq31Qvvbrn5KW/2krfWC/7bLf2EP2KMN91uNH2475UTztqOPKPoRl3z7afPA8y+NtR9xYNeD5sdrryzqRN8weNWWO9GfzNyf1PjRuK4DzD9gnNVFv819vRSNJzZ6SaBTAYOzzz7b7Nq1ayyGaFvAYNIbq7YOrttar0n3F5w/Btm5O0uTov/R019vlh++sLgPv3XPE+aJ/QfHOthHsBbXN/f6g/9isI/+ANoLbnuBcunbi/+9+j1mevfOog9B30E6/Kxzxzo5f94xR5rPvnFZUaev/vhls/qxp8bar0E71c52qq3j/LbWC37cTj/OYZeiAcVG7wh0KmBwxhlnmEcffXQsRmhjwGAsIFpy0NQ/CbSDAs3p4SeB9fRS8K3XjhzwzesD4Dvgm/r9raRZyxffjxnYx7el5evT2dU0+G/3LAf/zWsz8AXfvASq2t2Pxi66+FKzZOMt1UIReyn8163T4qvXmcVr10XUor9FU/DtEx3MP3TLmvDfvPYC37x826K9UwGD888/39x///1jYYeAwViw1x4Ug/5aNK3NwE0lr2nAF3zzEpjX7g6sl3z4ZrNo9Rr1oTX+u+/jm82+LZuLOmgnIApFPdrQ8O0RBgP/7aY14b957Qa+4JuXwED7/m13mxdvWl8k0Otbl277SrEv2dD6rzsJnKpfIzmXNspo+bbxnKR1wvyDlNz45OC/edmDb16+bdDeqYDBJz/5SXPVVVdVuK1YscKcd955lbQUO4888ojZs2dPoQoBgwJFKzZSD/pTNHaYtKp3jRR867UjB3zz+gD4Dvi6g/0Uk/Navu79AE8HDuxFW1q+VW3d3oP/ds9+8N+8NgNf8M1LoKrd/TU25dJriQ5buapakLmn9V9ffejbTFjmCWj59o2j29/UBpdS8MX8Q72XpeBbrx054DsZPtCpgAGZ5MILLzT33XdfYZ3TTz/d7N6920xNTRVpKTY2bNhgNm3aVKhCwKBA0YoNDPpbYYaoSuCmEoUrujD4RiOLEgDfeVzu4DrF04GkWcPX/Qjd0s9+2SxYdmKUffteWMO3T2zgv920Jvw3r93AF3zzEqhqd5/S1j54oPHf1HWpnmk/9jR8+0FgcBaYfxiw6MoW/DevpcA3L982aO9cwODxxx83p512mtm3b1/Bb/Pmzea6664r9lNsIGCQgmI+HakH/SkaO0xa1ds7Bd967cgB37w+AL5Vvu4AW/N0IGnW8HUHb6kCGNUz7vaehm+3z9xfe/ivn0tbU+G/eS0DvuCbl8Cwdve+TSWk/QiN/7rfP9LUY/gs+5Gi4dsPAtWzwPxDlUfb9+C/eS0Evnn5tkV75wIGBO7WW281N9xwQ8Fw6dKl5rHHHjPHHXdckabdQMBASzC/PAb9+RmnPAJuKilpDusC32EmKVPAd0DTHeynmKSX8nXvA3gd0cBO5S0p37KOvmzDf7tnSfhvXpuBL/jmJTCs3b13LzxzlTnm9q3DBRkpUv9NWQdGNTtbRMq3syccqLjrN9Jglz2Mhm+O/oytV1/WGr59YZDzPMA3J9126O5kwGBmZsacc845c68ishjp2wZ33HGH3VWvETBQI8yuIOVNUtvYuZ0HTFpVza/lW9WGPZcA+LpE0u6Db5Wn+4QV5Wre4yrl694DqB7agRvp6Nsi5ds3DvZ84L+WRDfW8N+8dgJf8M1LwK/d93S/ZOwk9V933Ea1RP9h2FZSvsOa+pPi9j01D81o+bp+LLmG+mOZ4TPR8h3WiJQyAfAt0+jvdicDBmSOhx9+eC5oMD09PWcdctgdO3aYc889N4m1EDBIgjGrEgz6s+JNrhw3leRIKwrBt4Ij+Q74VpG6H37TDJhIs4Tvc6vfYQ49s7eomPY9yIWiHm5I+PYQQ3FK8N8CRSc24L95zQS+4JuXgF+72w5TKcmEZ6z/+oIV6D/4bUSpsXzrNfUjB/MP3bIj/DevvcA3L982aO9swIDgrV+/3txyyy0FxzVr1pi77rqr2NdsIGCgoTc6WbezKZ200jR2mLQK21vDN6wdJcA3rw+A7zBf34BJ+koBCV/3qSqqIT52PGwnSpHw9WvqTyr8tzu2hP/mtRX4gm9eAvXaqR1+fu2VlcA/jeMWXbzGLF67rl6wlBPrv75ggXTsWKpGbzdj+fYWhHNimH9wgLR0F/6b1zDgm5dvW7R3OmBAHz6+/PLLzUMPPWQWLFhgLrvsMkMfQE6x7Nq1y9x4443m2WefNcuXLzdbtmwxxx57bArVUTroQvQtr7zyii954tIw6O+OyXFTyWsr8AXfvASGte/7+Gazb0v1nit5OpA0x/ivO1AjeelxSXYSlhi+k8CDzhH+2x1Lw3/z2gp8wTcvgXrtvnEclY554p/rv74HDehYeBURUahfuHzrNfQvx+e3eGimnXaG/+a1C/jm5dsG7Z0OGLQBYO460EXoWxAwGFBJMeiXNHaYtBrYILQl4RvSifwBAfAdsMixBb5+qjRg2nf7ZrN/+z2VArGT9zF8fe2udJBWqXSPd2L49hjD0KnBf4eQtDIB/pvXLOALvnkJhLX7nvonKXryf8nGW8xhK1fVKuH4L+mnvkP5FYZWIYIFloR/zeHrl+x/KuYf2m9j+G9eG4FvXr5t0Y6AQVssUVMPuhB9CwIGAyoY9A9YtHkLN5W81gFf8M1LwK+d2l/3lQJUMnYSn+O/vqcD8SoBv13cVA5fV2YS9uG/3bAy/DevncAXfPMSCGuvCxqQJPUn6BVFdYGDOv8lnTSpO717p7cCCBZ4sQwl1vEdKjhhCZh/6IbB4b957QS+efm2QTsCBm2wQkMd6CL0LQgYVKloB/0xjR0mrarsOXsxfDn6UKZKAHyrPFLvgW8zUWp/n7vknUOFaDJ/8TXrzKLVa4byygkhvvu33T33SwY8HVimxt8O8eVr6mdJ+G+77Qr/zWsf8AXfvAT42uvGclYD9SkoaHD4T/oUU7P7UycsNzQmJtmZZ/bOradnAwXuLx+tDlpTAOKojTebBctOLCdj20MA7YMHSimpzme5D83E8MX8Qwk8czOGL1MlipUIgG8JRo83ETBouXHpQvQtCBgMU8Ggf5hJm1JwU8lrDfAF37wEmrXXDZpISvpagaZAAUdnc40nKxftQ7O94b/NfMadC//NawHwBd+8BPjaqS32veqQr6G5ZMy3EZo1TU4u2odmW2P+oZnPuHPhv3ktAL55+bZBOwIGbbBCQx3oIvQtCBj4qJi5J0t8r8eg0k0TTE2NHSat/KxjUpv4xuhBWT8B8PVzSZUKvjySoYG+fTpw4ewTgvRkHz0dSGviO7P3yainA4+5fSuvUigV9UHpScYF/22n9dH+5rUL+IJvXgIy7dQev7Bxfe3rhGK14lcFscTmy6N94HEjf8X8A4/VKEvBf/PSBt+8fNuiHQGDtliiph50IfoWBAx8VObTMOivZzPOHNxU8tIHX/DNS4Cnndrf/dvuMfu2bOYJRJbC04GRwH5SHO0Djxv8l8dp1KXgv3mJgy/45iUg105tMgUOaKn7FkGddvuQAr0aEa8fqqMUTkf7EGZEJTD/wOM06lLw37zEwTcv3zZoR8CgDVZoqANdhL4FAQMflUEaBv0DFm3Yws0krxXAF3zzEojXHho4xWqkQAEG/bHU5sujfYjnBv+NZ5ZLAv6bi+y8XvAF37wE0mmndpk+ZEzfKJh5evZ7Bc88Nfu3d+4AFBxYcPzsLxeXza8XnrWq9iPJ6WrUf01oH+JsjPmHOF65S8N/8xIG37x826IdAYO2WKKmHnQh+hYEDHxUhtMw6B9mMq4U3FTykgdf8M1LQKbdDvDpVwd4OlDGMIUU2gcZRfivjFtqKfhvaqJVfeBb5ZF6D3xTE63qA98qj9R74BtPFPMP8cxyScB/c5Gd1wu+efm2QTsCBm2wQkMd6CL0LQgY+KjUp2HQX89mFDm4meSlDL7gm5dAGu22HeY8Hbho9aV4hUAa7PiGQSKO8N9EICPV4P4WCSyyOPhGAossDr6RwCKLg28ksMji4BsJzClu+w14aMYBM6Jd+G9e0OCbl29btCNg0BZL1NSDLkTfgoCBjwovzd68MWnF45WqFG4qqUj69YCvn0uqVPBNRdKvB3z9XFKlgm8qkn494OvnkioVfFOR9OsBXz+XVKngm4qkXw/4+rmkSgXfNCQx/5CGY6wW+G8ssbjy4BvHq4ulETBoudXoIvQtCBj4qMjT0NjJ2XEkwZdDSV4GfOXsOJLgy6EkLwO+cnYcSfDlUJKXAV85O44k+HIoycuAr5wdRxJ8OZTkZcBXzo4jCb4cSvIy4Ctnx5EEXw4leRnwlbPrkiQCBi23Fl2IvgUBAx8VXRoaPR2/kDT4hgjp8sFXxy8kDb4hQrp88NXxC0mDb4iQLh98dfxC0uAbIqTLB18dv5A0+IYI6fLBV8cvJA2+IUK6fPDV8QtJg2+IkC4ffHX8uiCNgEHLrUQXoW9BwMBHRZ6Gxk7OjiMJvhxK8jLgK2fHkQRfDiV5GfCVs+NIgi+HkrwM+MrZcSTBl0NJXgZ85ew4kuDLoSQvA75ydhxJ8OVQkpcBXzk7jiT4cijJy4CvnF2XJBEwaLm16EL0LQgY+Kjo0tDo6fiFpME3REiXD746fiFp8A0R0uWDr45fSBp8Q4R0+eCr4xeSBt8QIV0++Or4haTBN0RIlw++On4hafANEdLlg6+OX0gafEOEdPngq+PXBWkEDFpuJboIfQsCBj4q8jQ0dnJ2HEnw5VCSlwFfOTuOJPhyKMnLgK+cHUcSfDmU5GXAV86OIwm+HEryMuArZ8eRBF8OJXkZ8JWz40iCL4eSvAz4ytlxJMGXQ0leBnzl7LokiYBBy61FF6JvQcDAR0WXhkZPxy8kDb4hQrp88NXxC0mDb4iQLh98dfxC0uAbIqTLB18dv5A0+IYI6fLBV8cvJA2+IUK6fPDV8QtJg2+IkC4ffHX8QtLgGyKkywdfHb8uSCNg0HIr0UXoWxAw8FGRp6Gxk7PjSIIvh5K8DPjK2XEkwZdDSV4GfOXsOJLgy6EkLwO+cnYcSfDlUJKXAV85O44k+HIoycuAr5wdRxJ8OZTkZcBXzo4jCb4cSvIy4Ctn1yVJBAxabi26EH0LAgY+Kro0NHo6fiFp8A0R0uWDr45fSBp8Q4R0+eCr4xeSBt8QIV0++Or4haTBN0RIlw++On4hafANEdLlg6+OX0gafEOEdPngq+MXkgbfECFdPvjq+HVBGgGDlluJLkLfgoCBj4o8DY2dnB1HEnw5lORlwFfOjiMJvhxK8jLgK2fHkQRfDiV5GfCVs+NIgi+HkrwM+MrZcSTBl0NJXgZ85ew4kuDLoSQvA75ydhxJ8OVQkpcBXzm7LkkiYNBya9GF6FsQMPBR0aWh0dPxC0mDb4iQLh98dfxC0uAbIqTLB18dv5A0+IYI6fLBV8cvJA2+IUK6fPDV8QtJg2+IkC4ffHX8QtLgGyKkywdfHb+QNPiGCOnywVfHrwvSCBi03Ep0EfoWBAx8VORpaOzk7DiS4MuhJC8DvnJ2HEnw5VCSlwFfOTuOJPhyKMnLgK+cHUcSfDmU5GXAV86OIwm+HEryMuArZ8eRBF8OJXkZ8JWz40iCL4eSvAz4ytl1SRIBg5Zbiy5E34KAgY+KLg2Nno5fSBp8Q4R0+eCr4xeSBt8QIV0++Or4haTBN0RIlw++On4hafANEdLlg6+OX0gafEOEdPngq+MXkgbfECFdPvjq+IWkwTdESJcPvjp+XZBGwKDlVqKL0LcgYOCjIk9DYydnx5EEXw4leRnwlbPjSIIvh5K8DPjK2XEkwZdDSV4GfOXsOJLgy6EkLwO+cnYcSfDlUJKXAV85O44k+HIoycuAr5wdRxJ8OZTkZcBXzq5LkggYtNxadCH6FgQMfFR0aWj0dPxC0uAbIqTLB18dv5A0+IYI6fLBV8cvJA2+IUK6fPDV8QtJg2+IkC4ffHX8QtLgGyKkywdfHb+QNPiGCOnywVfHLyQNviFCunzw1fHrgjQCBi23El2EvgUBAx8VeRoaOzk7jiT4cijJy4CvnB1HEnw5lORlwFfOjiMJvhxK8jLgK2fHkQRfDiV5GfCVs+NIgi+HkrwM+MrZcSTBl0NJXgZ85ew4kuDLoSQvA75ydl2SRMCg5daiC9G3IGDgo6JLQ6On4xeSBt8QIV0++Or4haTBN0RIlw++On4hafANEdLlg6+OX0gafEOEdPngq+MXkgbfECFdPvjq+IWkwTdESJcPvjp+IWnwDRHS5YOvjl8XpBEwaLmV6CL0LQgY+KjI09DYydlxJMGXQ0leBnzl7DiS4MuhJC8DvnJ2HEnw5VCSlwFfOTuOJPhyKMnLgK+cHUcSfDmU5GXAV86OIwm+HEryMuArZ8eRBF8OJXkZ8JWz65IkAgY11jp06JD52te+ZqampsyRRx5pTj311JqSeZPpQvQtCBj4qOjS0Ojp+IWkwTdESJcPvjp+IWnwDRHS5YOvjl9IGnxDhHT54KvjF5IG3xAhXT746viFpME3REiXD746fiFp8A0R0uWDr45fSBp8Q4R0+eCr49cFaQQMaqx02223meuvv77IffDBB82qVauK/VFt0EXoWxAw8FGRp6Gxk7PjSIIvh5K8DPjK2XEkwZdDSV4GfOXsOJLgy6EkLwO+cnYcSfDlUJKXAV85O44k+HIoycuAr5wdRxJ8OZTkZcBXzo4jCb4cSvIy4Ctn1yVJBAxqrLVhwwazadOmIvfee+81F110UbE/qg26EH0LAgY+Kro0NHo6fiFp8A0R0uWDr45fSBp8Q4R0+eCr4xeSBt8QIV0++Or4haTBN0RIlw++On4hafANEdLlg6+OX0gafEOEdPngq+MXkgbfECFdPvjq+HVBGgGDGishYFADpqfJaOzyGhZ8wTcvgbza4b/gm5dAXu3wX/DNSyCvdvgv+OYlkFc7/Bd88xLIqx3+C755CeTVDv8F37wEJkM7AgY1dkbAoAZMj5NxU8lrXPAF37wE8mqH/4JvXgJ5tcN/wTcvgbza4b/gm5dAXu3wX/DNSyCvdvgv+OYlkFc7/Bd88xLov3YEDGpsjIBBDZieJuNmktew4Au+eQnk1Q7/Bd+8BPJqh/+Cb14CebXDf8E3L4G82uG/4JuXQF7t8F/wzUsgr3b4L/jmJTAZ2hEwqLEzAgY1YHqcjJtKXuOCL/jmJZBXO/wXfPMSyKsd/gu+eQnk1Q7/Bd+8BPJqh/+Cb14CebXDf8E3L4G82uG/4JuXQP+1dypgsHbtWrN169aRWOXAgQPm4MGDxbHw0eMCRS83cDPJa1bwBd+8BPJqh/+Cb14CebXDf8E3L4G82uG/4JuXQF7t8F/wzUsgr3b4L/jmJZBXO/wXfPMSmAztnQoYnH322WbXrl1jsQwCBmPBPtKD4qaSFzf4gm9eAnm1w3/BNy+BvNrhv+Cbl0Be7fBf8M1LIK92+C/45iWQVzv8F3zzEsirHf4LvnkJ9F97pwIGZ5xxhnn00UfHYhUEDMaCfWQHxc0kL2rwTcf30NNPmf3b7jGHnnnKzDy9d2596Jm9ZsHxJ8wdZMHxJ5qpZfPbh69eYw5buSrdwSdAE/iO3shoH/IyB1/wzUsgr3b4L/jmJZBXO/wXfPMS0Gtv6vc+8cQTZsW5b8O4Qo/ZqwHtgxeLKLHJj0khxscirI1C8N9GPL3J7FTA4Pzzzzf333//WOAjYDAW7MkP2nQzQadIjxt89Qx9Gg5+faeZ3rXT7N9+92yAYK+vSG0aBRIoaIDgQS0iY/nu27K5vlBNDvjWgIlMRqczEpinONpfD5QRJcF/84IGX/DNSyCvdvgv+OYlEK/d9nsxrohnl1oC7YOcKPxYzk4i2TTOIH0Iykiotl+mUwGDT37yk+aqq66qUF2xYoU577zzKmkpdh555BGzZ8+eQhUCBgWKzm3gZpLXZJYvJlvTc6Yb877bN88GCu5RK7cT24uvWWcWLDtRra8PCsh3D2y7Owlf4rHo4ksRmAk4BjqbAUCR2Wh/I4Epi8N/lQBrxJu44mGOGmiJkjFZlQjkrJomP6ajYDIlHWurCf5rSfDW5KMYV/BYjaIU/FdGGX4s4yaRsuMMBBcl9Poh06mAASG/8MILzX333VfQP/30083u3bvN1NRUkZZiY8OGDWbTpk2FKgQMChSd2cDNJK+pMNmal+++j282kiBMqFY2cLBk4y2hor3Of3HjDckCBWVQ4FumMb+NzuYwE20K2l8tQb48/JfPKqak5Sq5z9l2Fr+ciyFeXxaTVvVsQjnw4xCh/PnwXx5jjCt4nHKWQlBRTxd+rGfI0YB5NA6lySjTuYDB448/bk477TSzb9++wkKbN2821113XbGfYgMBgxQUx6cDN5O87DHZmpfv89dcaaZ376w9CD3JTk+qLTxrlZmafeXQ1AnLzczeJ+fKz8y+ssh2SJt0LDxzlTlq480T92sDGtxT+9DEJgVfmtA65uNbJ45v2WnR2SzTSLeN9jcdyyZN8N8mOvI8aoPxyy45P42k7RvgG0gaivOy8GM9wxQaECzgUYwdV9Avkam9oDc5fGfHAxhX8DB7SyGo6MUiSoz1Y4yPRZjnxsmShzlCR7MPe0z6Q4shTm3L71zAgADeeuut5oYbbihYLl261Dz22GPmuOOOK9K0GwgYaAmOTz72ZoJOEd9WkslWCd9JnWwlvjQZ6PtOAU3wL1p96ezfGq/BfIMm6uyTTvpIsm+CnDjTTXtSPoxMLH689kovv1x86RVQdTbzVqQniQjapjck2t/0TOs0wn/ryOjSEezS8ZNIU7uBbyBJyNXLwI/r2Ywjx9f/HUc92nhMuv6l4wp7PmW+GFdYKuE1sUdwPMyJU0Ljx2X/tceCH1sSw+vYeTQEZYYZ9i2lkwGDmZkZc84558y9isgahL5tcMcdd9hd9RoBAzXCkSvAzSQvcuKLydZ8jOv40qR+aNLZ1xlya7p/9l399N5SNxgxKUGDOr4UKFi8dl1j0ITL1xeY4djPtVXX99HZTG/BOv+lIyHYlZY3/DctT9JG/hv7yy48bKCzA02I4F3lOoautMSPJZMp1G+Y9F8ouuzr9jn9szrZvqfX9Rti+qVNfCd9XNHkPwgqNtGJy9P4cZP/2lrAj+dJEOfY4GITXwRlrId1f93JgAFhf/jhh+eCBtPT03NWIIfdsWOHOffcc5NYBQGDJBhHpkRzM7GVbGr0Jv1mUseXM9nK5Tvpk63PrX7H0GQ+8T3m9q0WYeO6yX+tYN0EQt8Hp03+C77WO/RrSWfTHtXnv+hsztNp8t9QsKuJr82j+9ukt7/EAv5rPSLtus5/6SihYJetSbl94LQLoSC71dvXNX4hk96yGj8u+6+tGfzYktCvfXz1WruvQTuusASa+E7quMKycdfUTsQGxxFUdClW97V+3OS/9kiT7sd19zdOcJHDd9Ln0ayfdXXd2YABAV+/fr255ZbBhzvXrFlj7rrrriS2QMAgCcaRKcHNJB/qupsIJrPTMfc90Urv0ee+449zs7a1pU4RTQ667yaMsafV1ZW1r31Y8uGb2a8KiuFLTKhj9OJN6yt4JjUog85mxQ2id9D+RiMTCdRxhv+KcBZCdVzpfoNgV4Ep6YavP1E+QIpv9JD9JukbSBo/5vQfELQte2jcNodvnMZ+lPa1AzHjCkuBw3cSxxWWT3ld105QGWozfa+VbeJLXEmn74EO0snpn1C5Li9aP27i63KZZD/2jZM58wKxfH2/euz7+Nj1sy7udzpgQB8+vvzyy81DDz1kFixYYC677DJDH0BOsezatcvceOON5tlnnzXLly83W7ZsMccee2wK1VE66EL0La+88ooveSLTtDcTC43T6E3izcR3E4mZbI3hS2UnbbLV97PVXJ16awta+55AlBy3rLON27724ejZjxHHfreB0z6Uz9/nx33ka8/Z105wOptWnsOX2t9J62z6uKL9tV6Tbu3jDP/V8a2bPInhamvQ1D5MYrtguZTXxDv2dQJW3seXuIYmqybhG0gp/NjH17K3a/ixJRG/5vCN19pdiVTjCkuAy3dSxhWWS3nd1E6EguMcvpMYVEzlxxy+ZVtOmh/7xskx49UYvnSfm7SHFsu+1dXtTgcMugo9pt50EfoWBAzmqeBm4vOOdGm+mwgmW9PxpRvnc5e8s6Iw9WRKRXlpxzc47VuU39eBj+kEWVwxnSErQ2tfp1Ny/ZR1tnHb107EcI7hO0mdTR9Xif/E8CX/mrRgl48z/Fff0viCMAh26bn6NPjudVSO8wQqp32gNmFSv4Gk9WMO37JNfe1v3/pm5fPVbsfy1R6v7fKpxhX2PGP4TsK4wnIpr+vaX854TsuX6tHH9iGVH8fwtTadJD/WzqNJ+BJn3/g4pt9tbYX1aAggYDAazuKj0IXoWxAwMCbVzcTyjWn0JuFm4usAaRrzGL5kE9/NRDJZZu3bxrV7o6ZO39JtXxFVNZYvHYT8+Pm1V1a+naCxsajiGYXciUBO572uOlK+L2xcb6Z37yzUaupQKGnRhuvDVDWJD8Xy9bUPkuO2CGWlKmh/Kziy7cB/86B12146iub+zW0ffJOtfWoX6qzlm9SOuddw+Pr6vVSfPk5WWc6p/JjD1x6T1pPqx2UGMduxfGN0d62se0/TjCvsucfw7fu4wjIpr33tb0xwPIYvHdfXPvStHU7px7F8ifEk+DGdIx5aJGtjCRFAwCBEaMz51Mj5FgQMzNxPr/dvv6fAo+kU4WZSYCw23IFSzOCzUPKTDSnfPk+2+m7UMR3MMmMJXyvvdjzpOurDawbc86LzlU5Yafj6Jn6l9bA2a8va58OSdkLCl47tvp6oTwMmtL/5vRz+m4exr83TTNrHtg++YGJf2lyfxdy2gsrE8I7hS9fMpLxOIJUfx/At23fS/Lh87jHbUr4xx+hKWd89TTqusOcs4ev2v/syrrBMymtf+xtzv5HwpeO7jCktpt2n8m1dUvqxlC+xcRn3zY9TBGU0fMnOfX5osa3Xl6ReCBhIqI1Qhi5E3zLpAYOUNxPLV9Lo9fVm4p4XMYrpAFmm5bWEr2/Apq1HuU7j3E5xoy7XX8LXyrsd3j50Ol2+2nPS8E1dF2u3ca/d86LONH4ho7cK2l89Q44G+C+HUnwZ934iCSK6R41pf6l/2OeHDcpsXB+mPMm9LoYvHcM3mS05Lulq65LSj2P5EpNJ8mOtD0j4ao/ZRnm3PdD0ycrnJ+HrXj99ax+Ij2+MKjlPCV86vq8d7sMYObUfS/kS4776ccp5NA1fd7zTt6AM+VAfFgQMWm5Fugh9y6QHDHAz8XlFujSXr6QDVK6N5maSui7leo1z2/0Jq+YpIA1fYuC7YUsnfsfJtHzsH531c+Vds/SzXzYLlp1YSePuaPm6HbNUgzhu/XOUc8+JjiH1YQ1fn+92/Rcyqds8Dd/UdcnhixKd8F8JtbCMez2ShHYCQ+K/vokcbT3CZz/aEj4flgRnJHzp2H3+hVdKP5bwtZ40CX5sz1W61vCVHrOtcinHFfYcpXzda6gP/V7LxK7dyeRRtb/2+NQO9zE4ntKPpf5rGffVj92+vfT61PIlzu51pJ1zsrbDOh0BBAxqWB46dMh87WtfM1NTU+bII480p556ak3JvMl0IfqWSQ8YpLyZWL7SRq+PN5OUk61avu6gWHpTs/Vow9o9J6rTa3Z9R1U1qf/SQX316fLkim+QPU6+xNjtEHWZL51Pqs4m6aJF478u2653NtH+zvtEzv/w3zx0Xa6prkVJ+5CrLnnIxWt1z0/TN5LwpX5DX18n4LLV+rGEr/WI1HWxevu01vDtCwdfP17b77VsJHx99el6v9fyoLU79qc06flJ+NLxaPGNd6T1mNc43v8+v9H6sYavrz5d5mutm3IeTcOX6uNeS5q+jD0/rNMSQJnxfs8AAEAASURBVMCghudtt91mrr/++iL3wQcfNKtWrSr2R7VBF6FvmeSAga/xxs3E5yWyNF/nY5x86SzcCcGu36zdn5GOczBqvcRlrK2T1TuOtTvAXnz1OrN47TpxVbSdITqw2yHqMl86H3Q2iUL6Be1veqY+jfBfHxV9GoJdeoYcDb5+MH7hxSHHK5PSj7X9B9fWmEyp2lDLt6qtu3upxxWWhIZvn8YVloddu+MMaZ9ewzd1Xay+ca5T+3EKvn3zY/eeQvaWzvOk4OurT9fnecZ5DeU4NgIGNVQ3bNhgNm3aVOTee++95qKLLir2R7VBF6JvmeSAQeqbieWrafT6dDNxO0HaydYUfPs22eoylg70LVtaa/yX5PvEGHzJovkWX+dO2tm0tdT4r68+Xe1sur6L9td6SLq1z1/gv3q+OYJdtlbS9sHtm3W1XbAc7NptJ7STyFK+VB+XsXTizJ7buNc5/FjD18e4L36cytZavqnqMU49bpuQYlxhz0fKt0/jCsvCrhFUtCTSrnP4sdR/7Zn1zY9Tz6Np+RLnvvUjrO/0ZY2AQY0lETCoAdOCZNxM8hoBfPPyJe3ujVE7+Etxs3YHyZJ3ceYnxzuC+/Sw5vsFdETwrXJHZ7PKI+Ue2t+UNP264L9+LtpU13cR7NISrZd373GayUHt/c2dTNEGL+rPejQ5qf1Yy5fO2mXc9aBMSkum4JuyPuPSlXpcYc9Dw7dP4wrLg9bueVGa9KEDDV86rl1y2d/qH9U69Xmk4Ovau8vjY7Kje48bZ//B+hXucZZEO9cIGNTYBQGDGjAtSE59M7GnpLmp9Olm4g5EtZOt4GsJDNY5GGv8l2rmPnXb5UE/+A58LcdWys6mrZ/Wf/vS2czhu8RYw7dP9zdiAf8lCumXHFxtLaX+25d2wXKgtXuvpjTpZBXJ0iLlS7K++mgfgiC941py+LGGL3Hoox+ntK+Wb8q6jEtXrr4DnY+Ur9s2dHlcUbar20Zog+NSvuU69aWNyOHHWr598+PU82havuTHfRtnlK/NPmwjYFBjRQQMasC0IBk3k7xGAN+8fEm7+1PWcQ727dn2qUPURr457G5tN+o1Opv5iKP9zcfWaob/WhJp1zl8l2qoGYz2cRCKX8ik9VtXW2o/1vivrVsf/diem3adgq+2Dm2QT93vteek4duncYXlQWs3YIAntMt0dNup/Vjjv/ZM+ubHKe9xKfgS574xtr7TlzUCBjWWRMCgBkwLklPfTOwpaRq9PjV0beRLNspVL2v/Ua5znIvGf+2556iX1T3KdcrOkK03+FoSwx88TvErJC3fvrTBua5BLd9c9Rp41ei22tg+9MF/c3C1XiH13z5wtQzsOuVkldUp5Wvl+/J0K51PDj/W8u2jH1vfSbHW8k1Rh3HryHmP1vDNWa9xMU/dRmj4WgZ9CSrm8JcUfHPUy9pu1OvU55KCL+5xo/aCuON1KmCwdu1as3Xr1rgzFJY+cOCAOXjwYCHdto8eU8Xow8f2Ip2k9Q9XnlzYhTbo6ew2nH9b6xXrJ89efL459MzegjFNBk6dsHzs/tYXvmSPR09/vVl++MKC8Vv3PGGe2H9wrH48s/dJ89wl7yzqRD8dfvX2fxm73WP9l8pvO+VE87ajjyjO5ZJvP20eeP6lsfI9sOtB8+O1VxZ1ondgvmrLnZ3k63Y2X/v1x8d+Hn3xX7S/+fs18N+fynK9tpEr3Q/aWi9pvxX3tzz+a+3RVn9pa70sN6zz+mWIL8YVo+Pfxn7aSYsOMw+fdlIxxnjywLR5y//53ljHPZLxG/w4vx/nmE8pHE+x4d7jtG9fUFQFog6BTgUMzj77bLNr1y7nFEaz27aAgaQRDnU2upKPm0nemwkGo3n50nX2v1e/x0zv3lk0XvS+38PPOjfLJA73uj7vmCPNZ9+4rKjTV3/8sln92FOd62yCb37/zdHZ5PppU7m21ivmfo32F/5rG+G2PAzB9d82TqJQe9GHdqHc7rWRc18mq4hzG/n20Y+57QrK8YLoGFfwOKXwJ3disw0PzdB5tbVe5ftXiD/8OL8f55pHs31XyRq/MJBQG51MpwIGZ5xxhnn00UdHR6d0pDYGDErVm6jN1O8fJnj2ZiYF2ZefAtL5g6/UC/hyqV8poPVfqnnq9yLzaaQv6fJddPGlZsnGW8QHSsHXrZP2I2nik0kg2MafY/els4n2N4GDBlTAfwOAhNk5fJeqoml/+9Q3s2ZxJ4W0T+Fp+No69aX9pfNJ7ccp+PbRj63vaNcp+Grr0AZ5t4+pea9++Xw0fPs0rigzSdmH0PAt14m2U98bXP2j2E/txyn49s2PU97jUvAlv8I9bhRXl/wYnQoYnH/++eb++++Xn61CEgEDBbzEoqlvJrZ6mkavTzcTl692sjUFX7dOXZ5sJR453ver8V+qU58Yu3zp9UpLt32FTlO8aPm6A4xUgznxCSkEU3Y2bTW0fPvS2XSvQ7S/1kPSreG/6ViWNeXgavVL24e+tAuWA61zTApJ+eauV1n/qLZz+LGWbx/9OKU9tXxT1mVcutx+b6q+A52PlK/bn+n62M3aNnUbIeVr60PrvrQROfxYy7dvfuyej3Y8quVL/tuneTQ6n74tnQoYfPKTnzRXXXVVxQYrVqww5513XiUtxc4jjzxi9uzZU6hCwKBAMfYN3EzymsDli8nW9LxTP42X4mbtTkKk+JBtenI8jS5fkqLXPh22chVPgVNKy9dXH+1ToU4VR7qLzmY+3Gh/87G1muG/lkTatcs11YSVpv1169SHCSs3+Ky9V2v4Wg9y73Ep+o1W96jXrs9o/TgFX7dOffDjVHZNwTdVXcapJ9c1qOHbp3FF2bYpAwYavuU69SVgkNqPU/Dtmx+74wzNPS4FX/Jj3OPKV3P7tjsVMCB8F154obnvvvsKkqeffrrZvXu3mZqaKtJSbGzYsMFs2rSpUIWAQYFi7Bupbyb2hDSNXp9uJi5f4qOZbNXy9dWny5OtlkfKDifp1Piv23no8mC/jq+mQ6Tl69paWxd7juNau/6S4nw0/ksc+tLZ9LV3aH/Tejr8Ny1Pq83lmvI+Im0f3Ml17ZN09lzHuXbvJ+NsHyyHvkxW0fnk8GOp/1q+ffRje24p1lq+KerQBh052gY6LwnfHNdRGxhTHdz+prYPLOHrsnDr1OWgYmo/1vDtox+74wxtX03D1/pxn+bR7Dn1ad25gMHjjz9uTjvtNLNv377CDps3bzbXXXddsZ9iAwGDFBTz6cDNJB9b0uzyHWdnKHVd8pLja0/ZCdHerF3GXe5oWgu4fCldOrGi4etOpGjqYc9t3Gt0NvNawL0e0f6m5Q3/TcvTanO5Urq0zbU6aS1tf3316cPDBu7EkDYIIuVbtlGfXifg8xuNH2v5+urTBz8u+49mW8tXc+y2ybr9Xu1EIJ2flK/bj+nDuMLaOyVnKV9bF7vuU1CxTXz76sfueUnvcSn8N6W97fWAdVoCnQsY0Onfeuut5oYbbihILF261Dz22GPmuOOOK9K0GwgYaAnmlc/RuEgbPbfR7UOnyOVL1pTeTKwnSPj2cbLV8vANAjUDfwlfqksOW9tzHPfavTYXnrnKHHP7VlG1pHxT1kFU8UxC7nmNo32wp+b6cIpBstU9jrV7PlSHcfDtc/sL/83j2S5XbbDL1lLS/uaqi63TuNZu+5CCsYRv+fzdIEbX+8GpfUfDN3Vdynbry7aGb18Y0HmkHldYNrF83TaK9Gj7MLYubVj7OGvOL5avy8BXny4HFX3ng/Gxa3XdvnuNasZNWv9173Fd7z/oLNNO6U4GDGZmZsw555wz9yoii5W+bXDHHXfYXfUaAQM1wqwKcDPJindOuduAY7I1PXN3kC29YWtu1u5TKSkmH9KTkmn0TXhKOiJSvu41RGehGVTIKOSRQmczD1er1fUdtL+WTJo1/DcNR1eLy5XytW2epP31tf3aerjnOq59t/8r7TfY+kv4Wlm77tvrBFL6sYZvn/3Y+o52reGrPXYb5VONK+y5Sfj2eVxhubh9NOnYScLX1sGuU9XF6mvDOpUfa/j22Y/dfgTZXBKU0fClY6a815I+LHkIdDJgQCgefvjhuaDB9PT0HBly2B07dphzzz03CSkEDJJgzKok1c3EVlLS6PX5ZuIbqEgmW6V83Q4Q6enLgN8y8d2wpRODEv/1MdZ+QNGeW1vWbjtB9ZL4cSxf3/UjHVC0hWW5Hj7flXQ2rc5Yvlaur51Nn/9I/NZyiuXraxv61P7Cf61npF+7viO9p5VrpvXfFHUo12fc2y5j7bUZy7d8/m4brA1glHWPc9tlrPEhKd+UdRgny9zHlvLNXa9x6Pfd2zS+S+cQw9f1WZLv27iCzslt9yhN2g7H8KXjlBdfX1Faj7LecW+n9GMJ30nwY3d8LL13S/ha/+rzPJo9xz6sOxswIPjr1683t9xyS2GHNWvWmLvuuqvY12wgYKChNxpZ3Ezyc3ZvJnREyaRV7M3E1wHq02Rr2XLuu38ljGP50jFS2bZ8Lm3cpnbi+bVXmkPP7C2qR52iRRevMYvXrivSmjZi+fr8V9oRa6rXuPNcH5KeYyzf8nn3ubPp8qXzRvtbtr5u2+UL/9XxtNK+9k/it1ZfbPvgG+j3YQLF8qC1O1kl9V3SFcuXZMqLy1tj67LecW+n8mMpX5cr8eibH6ewsZRvimO3VUeKcYU9txi+7j2VdPSlPbA8ymv3GpUEZmL4lo9tt1PUwepq2zqFH0v4Toofp5hHk/C1fub6LqX3Mbhoz7fL604HDOjDx5dffrl56KGHzIIFC8xll11m6APIKZZdu3aZG2+80Tz77LNm+fLlZsuWLebYY49NoTpKB12IvuWVV17xJU9cWoqbiYUW0+hN0s1EO9kay9c3SNMMhu3x27qmG/a+2zeb/dvvqVQxtpOt9V9JR7dS4Rbv+DpFVN2YIBSXr68DRMfq40Dfx1XqR1y+xNIuPtZ96mwSX7S/1trp1/Df9EytxtR9JG774Os/xLTztv5tX/t8F7/wSm+1VH7M9V97BpPix/Z8tetYvtrjtV2e2ocU4wp7nhy+vmtF2h+0x2372nedxo7d6Bw5fH0sfH3gPo01UvlxDN9J8+MU82gxfK0f+zhLrh2rD+u8BDodMMiLph3a6SL0LQgYzFPBzcTnHWnTfANTOkLMIJx7M/F1fuhYfeoA0fm4CzF2JwapDLezzeVLOn2M+xyQoXOmxdexp3Q69yUbbzGHrVxFu96Fw5f0Uweo/EsGq6zP/ovOprVynjXa3zxcrVb4ryWRdu27p1FbG/PLLlsjTvtLZX1tfJ/vbe6AW3quXL7WHuV1n3/hReeZwo9j+U6aH5f9SbIdy1dyjC7K+HyXzoM7rrDnzOE7qeMKYuS2w5QWM/HJ4Us63cXXTsSMy119bd3X+nEM30n0Y+KrCS7G8LU+5rtmYtslqwvr0RBAwGA0nMVHoQvRtyBgMKCivZlYTZxGbxJvJsTH1zGhdM5kK5WjpYkv6Z/EydZ5MvP/yY+fu+Sd5aS5bWK8+Jp1ZtHqNUN55YQmvlSOXmFAnYJJm9AuM6rzYypDnRV6RVFd4KCOL+mkScfp3TvLhyq2+xwsoJPUdjYtqDq+Nr+8nrTOZp3fov0te4VsG/4r48aRqrunSSY1Qu2Dr29Gdexz++vjKx10h/j67O1j3qdfeNlz9nGmvBg/5vL1MaVj9dmP6fy0C5ev9jhdk6/zXe64wp5vHV+MKxBUtD6Sc6314zr/tXWedD8mvnho0XoD1j4CCBj4qLQojRo534KAQZUKbiZVHjn26iat6FiYbE1DvO6mTdqbJgebOkNNHaEmnWnOqH1amhhbzhQ0OPwnAZqp2YDN1AnLDbW5JDsz+y0EWk/PBgrc10iVz5auiaM23mwWLDuxnNzL7Tqm3MmrJv91gfkmVMiPl277ilu0V/tof/OZE/6bj22d38bce5raB9I/yQ8b4Bcy+Xy3rFnjx03+a48x6X5sOUjWHL4SvX2Rqbu/0flx2mEfX4wrqt5BjH0PfHGCij6+Ve3VPV8fmEr0Pago9eMmvvDjgW/V+TC1EU0PLTbxHWjHQ4tlFl3cRsCg5VajC9G3IGAwTEV6M7GafI0ebiaWzvy6iTGVoBuLO9lqJ0xPWnSY+c6OBzDZWkU6tEeMfT8PtAUt44Wzk9rElia0aU3+O7P3yagJ7WNu32rVTtQ6xFgLgzNI0B6jbfLE1DdgCnU27Xn42l+bR+umtrjvAyXLAe2vJZF+Df9Nz9RqrJtspfzQwwZWh9s+kM5J/mWX5VJ3L4t5JQbpcvla/b71pP3CyzLQ+HEdX/ixpatb1/HVae2PdF07Yc+wblxB+SR7/pveaO7b+tesB2UmdVxR1z4QW7z21Hqabi31Y2ofMD4Osye+vl8akGSTHze1v01jtyad4dqixCgJIGAwStqCY9FF6FsQMPBRqX89hi1d1ynCzcQSCq9DN+ywhuYSkzjZ6hIhxvu33WP2bUnzEXdXPxjPEyHOL2xcX/s6IZdbaH+SflXgY4HOpo9K2jS0v2l5lrXBf8s00m43saUj2b5Z+ZddeNiAZ4M6tviFF49fTKk61laHz4/xC0VLJ8+6abIqzxG7qZV8F+OKvLarCxrQUeuC4yH/RVCxajP4cZVH6j3iG/PQ4s/9X+eZJ/YfnKsGycb8Cn9Sg4upbTYKfQgYjIKy4hgIGMTDw80knplEgjhjslVCji8TunHzNc2XpEAB/bTQTsTEyve1vPVlOr+6bxHUnbudIADXeUIhn7W88AuZOo/ipVufjfXXOu2THuyyXOC/lkT6dYit9oiTHAgntviFl9aDePLwYx6nUZYKTbqOsi5tP1Zq/8W4ompx4ts0NrZ94HJwHEHFKkPOHvyYQ0lWhtgiuChj11cpBAxablkEDOQGws1Ezi5G0naOSCZ28sp2nDDZ2kycGNNTJnQDB+NmVtpcy5q+UTDz9Oz3Cp55qvhQNPnrguNnXwO1bH698KxVtR9J1tajy/LEEJ3N0VgQ7W96zvDf9EzLGq3Pxt7LyjrK2wh2zdMgrnidQNkz8m7Dj/Py5WpHsIBLqlqO/BfjiiqTVHvEtukpbe1xJjk47rKDH7tE0u2n9mMEF9PZZtSaEDAYNfHI4yFgEAnMUxw3Ew+UTEmWtW+y9ckD02bFuW/DZKuSfRNjd0J70epL8WsCJW8rjkGpJcFfo7PJZ5WiZFPbgPY3njD8N55ZjATxpScxaYkNHuBhAz/pkM9abviFl5+fJBV+LKGWVgb9Mx1P8mEKHvjGbtRm3P/tx80v/uZ75h6YwbiCz9q2DbH3t7ojIDheR2Y+PeTH5Qe+4MfNLMu5liseWixTmaxtBAxabm8EDNIayDZ6dZ0i3EzS8rba0Jm3JPKswTcPV6sVfC0J2dq2u+hsyvhppeC/OoLwXx0/jrRl7OubIdjFITgoQyzxC68Bj1FuNfmx+0AHfqGYxjK4v6XhWKcFfOvI8NOpXUBwnM8rZUn4b0qa898KLQcX/78Hv2qWH75w7iDuPQ5BmbTsx6kNAYNx0mccmxo634KPHvuo6NJwU9HxC0mDb4iQLh98dfxC0uAbIsTLj5lQQWeTx5RTCv7LoRQuA/8NM8pRAv4bT5V8NeVrMfA6gXgbWAn4ryWRZw2+ebhareBrSejXMX0IBBX1vEkD/DcNxzot4FtHpj/pCBi03JZ0EfoWBAx8VORpaOzk7DiS4MuhJC8DvnJ2HEnw5VCSlwFfOTuOJPhyKMnLgK+cHUcSfDmU6svYCSr8wqueUc4c+G9OupgMzEsXfME3N4G8+tH+gm9eApOhHQGDltuZGjrfgoCBj4ouDTcVHb+QNPiGCOnywVfHLyQNviFCunzw1fELSYNviJAuH3x1/ELS4BsixMu3wQPfq5/wOgEeQ0kp+K+EGl8GfPmsJCXBV0KNLwO+fFaSkuArocaXAV8+q66WRMCg5Zaji9C3IGDgoyJPQ2MnZ8eRBF8OJXkZ8JWz40iCL4eSvAz4ytlxJMGXQ0leBnzl7DiS4MuhJC8DvnJ2HEnw5VCSlwFfOTuOJPhyKMnLgK+cHUcSfDmU5GXAV86uS5IIGLTcWnQh+hYEDHxUdGlo9HT8QtLgGyKkywdfHb+QNPiGCOnywVfHLyQNviFCunzw1fELSYNviJAuH3x1/ELS4BsipMsHXx2/kDT4hgjp8sFXxy8kDb4hQrp88NXx64I0AgYttxJdhL4FAQMfFXkaGjs5O44k+HIoycuAr5wdRxJ8OZTkZcBXzo4jCb4cSvIy4Ctnx5EEXw4leRnwlbPjSIIvh5K8DPjK2XEkwZdDSV4GfOXsOJLgy6EkLwO+cnZdkkTAoOXWogvRtyBg4KOiS0Ojp+MXkgbfECFdPvjq+IWkwTdESJcPvjp+IWnwDRHS5YOvjl9IGnxDhHT54KvjF5IG3xAhXT746viFpME3REiXD746fiFp8A0R0uWDr45fF6QRMGi5legi9C0IGPioyNPQ2MnZcSTBl0NJXgZ85ew4kuDLoSQvA75ydhxJ8OVQkpcBXzk7jiT4cijJy4CvnB1HEnw5lORlwFfOjiMJvhxK8jLgK2fHkQRfDiV5GfCVs+uSJAIGLbcWXYi+BQEDHxVdGho9Hb+QNPiGCOnywVfHLyQNviFCunzw1fELSYNviJAuH3x1/ELS4BsipMsHXx2/kDT4hgjp8sFXxy8kDb4hQrp88NXxC0mDb4iQLh98dfy6II2AQcutRBehb0HAwEdFnobGTs6OIwm+HEryMuArZ8eRBF8OJXkZ8JWz40iCL4eSvAz4ytlxJMGXQ0leBnzl7DiS4MuhJC8DvnJ2HEnw5VCSlwFfOTuOJPhyKMnLgK+cXZckETBoubXoQvQtCBj4qOjS0Ojp+IWkwTdESJcPvjp+IWnwDRHS5YOvjl9IGnxDhHT54KvjF5IG3xAhXT746viFpME3REiXD746fiFp8A0R0uWDr45fSBp8Q4R0+eCr49cFaQQMWm4lugh9CwIGPiryNDR2cnYcSfDlUJKXAV85O44k+HIoycuAr5wdRxJ8OZTkZcBXzo4jCb4cSvIy4Ctnx5EEXw4leRnwlbPjSIIvh5K8DPjK2XEkwZdDSV4GfOXsuiSJgEHLrUUXom9BwMBHRZeGRk/HLyQNviFCunzw1fELSYNviJAuH3x1/ELS4BsipMsHXx2/kDT4hgjp8sFXxy8kDb4hQrp88NXxC0mDb4iQLh98dfxC0uAbIqTLB18dvy5II2DQcivRRehbEDDwUZGnobGTs+NIgi+HkrwM+MrZcSTBl0NJXgZ85ew4kuDLoSQvA75ydhxJ8OVQkpcBXzk7jiT4cijJy4CvnB1HEnw5lORlwFfOjiMJvhxK8jLgK2fXJUkEDFpuLboQfQsCBj4qujQ0ejp+IWnwDRHS5YOvjl9IGnxDhHT54KvjF5IG3xAhXT746viFpME3REiXD746fiFp8A0R0uWDr45fSBp8Q4R0+eCr4xeSBt8QIV0++Or4dUEaAYOWW4kuQt+CgIGPijwNjZ2cHUcSfDmU5GXAV86OIwm+HEryMuArZ8eRBF8OJXkZ8JWz40iCL4eSvAz4ytlxJMGXQ0leBnzl7DiS4MuhJC8DvnJ2HEnw5VCSlwFfObsuSSJg0HJr0YXoWxAw8FHRpaHR0/ELSYNviJAuH3x1/ELS4BsipMsHXx2/kDT4hgjp8sFXxy8kDb4hQrp88NXxC0mDb4iQLh98dfxC0uAbIqTLB18dv5A0+IYI6fLBV8evC9IIGLTcSnQR+hYEDHxU5Glo7OTsOJLgy6EkLwO+cnYcSfDlUJKXAV85O44k+HIoycuAr5wdRxJ8OZTkZcBXzo4jCb4cSvIy4Ctnx5EEXw4leRnwlbPjSIIvh5K8DPjK2XVJEgGDlluLLkTfgoCBj4ouDY2ejl9IGnxDhHT54KvjF5IG3xAhXT746viFpME3REiXD746fiFp8A0R0uWDr45fSBp8Q4R0+eCr4xeSBt8QIV0++Or4haTBN0RIlw++On5dkEbAoOVWoovQtyBg4KMiT0NjJ2fHkQRfDiV5GfCVs+NIgi+HkrwM+MrZcSTBl0NJXgZ85ew4kuDLoSQvA75ydhxJ8OVQkpcBXzk7jiT4cijJy4CvnB1HEnw5lORlwFfOrkuSCBi03Fp0IfoWBAx8VHRpaPR0/ELS4BsipMsHXx2/kDT4hgjp8sFXxy8kDb4hQrp88NXxC0mDb4iQLh98dfxC0uAbIqTLB18dv5A0+IYI6fLBV8cvJA2+IUK6fPDV8euCNAIGLbcSXYS+BQEDHxV5Gho7OTuOJPhyKMnLgK+cHUcSfDmU5GXAV86OIwm+HEryMuArZ8eRBF8OJXkZ8JWz40iCL4eSvAz4ytlxJMGXQ0leBnzl7DiS4MuhJC8DvnJ2XZJEwKDl1qIL0bcgYOCjoktDo6fjF5IG3xAhXT746viFpME3REiXD746fiFp8A0R0uWDr45fSBp8Q4R0+eCr4xeSBt8QIV0++Or4haTBN0RIlw++On4hafANEdLlg6+OXxekETBouZXoIvQtCBj4qMjT0NjJ2XEkwZdDSV4GfOXsOJLgy6EkLwO+cnYcSfDlUJKXAV85O44k+HIoycuAr5wdRxJ8OZTkZcBXzo4jCb4cSvIy4Ctnx5EEXw4leRnwlbPrkiQCBi23Fl2IvgUBAx8VXRoaPR2/kDT4hgjp8sFXxy8kDb4hQrp88NXxC0mDb4iQLh98dfxC0uAbIqTLB18dv5A0+IYI6fLBV8cvJA2+IUK6fPDV8QtJg2+IkC4ffHX8uiCNgEHLrUQXoW9BwMBHRZ6Gxk7OjiMJvhxK8jLgK2fHkQRfDiV5GfCVs+NIgi+HkrwM+MrZcSTBl0NJXgZ85ew4kuDLoSQvA75ydhxJ8OVQkpcBXzk7jiT4cijJy4CvnF2XJBEwaLm16EL0LQgY+Kjo0tDo6fiFpME3REiXD746fiFp8A0R0uWDr45fSBp8Q4R0+eCr4xeSBt8QIV0++Or4haTBN0RIlw++On4hafANEdLlg6+OX0gafEOEdPngq+PXBWkEDFpuJboIfQsCBj4qcWmHnn7K7N92jzn0zFPmi5+607z9jSfPbu81C44/YU7RguNPNFPL5rcPX73GHLZyVdwBULoggJtJgSLLBvhmwVooBd8CRZYN8M2CtVAKvgWKLBvgmwVroRR8CxRZNsA3C9ZCKfgWKLJsgG8WrIVS8C1QZNkA3yxYC6XgW6DIsgG+WbC2TikCBq0zSbVCdCH6FgQMfFTCaQe/vtNM79pp9m+/ey44EJYYlKBAAgUNEDwYMInZwk0lhlZz2XKwa+bpvXNBLwS7mplpc+G/WoLN8uDbzEebC75ags3y4NvMR5sLvlqCzfLg28xHmwu+WoLGNPV7n3jiCbPi3LfhIS89Zq8G+K8XS7JE8E2G0qsIfL1YkiWCbzKUrVXU24DBSy+9ZH74wx+affv2zf0tWbLE/OhHPzKvec1rzPHHH29ovwsLXYS+BQEDH5X6NOpo7rt982yg4J76QswcGzhYfM06s2DZiUypyS6Gm4ne/gh26RlKNcB/peR4cuDL4yQtBb5ScsNyTZNWVBq/TBxmpk2B/2oJNsuDbzMfbS74ygnafu++LZujldixGh7yikZXEYD/VnCodtB/UOETCcN/RdjYQuDLRtXpgr0IGNCTBV/60pfMl7/8ZfONb3zD0P4PfvCDRsMcddRRc4GDn/mZnzGvf/3rzS/+4i+aX/mVXzHLli1rlBt1Jl2IvgUBAx8Vf9q+j282ks6mX9sg1XZGl2y8ZZCIrVoCuKnUomnMQLCrEc/IMuG/eVGDL/jmJSDXjkkrObtUkmgf9CSbJqvwhLaeb5MG+G8TneE8anMPbLs7yUNepH3RxZfi1+HDmNkp8F82qqGC6D8MIRl5Avw3L3Lwzcu3Ddo7HTC47777zM0332y+8IUvJGN5wQUXmD/8wz80v/RLv5RMp0YRXYS+BQEDH5XhtOevudJM7945nPGTFOpE0hOBv/z/fND8y7e+PfeLARpU0TIz+z0DO8Bq0rHwzFXmqI0349cGP2HqW+Fm4qMSTkOwK8xoFCXgv3kpgy/45iUg045JKxm31FJoH+RE7WQVXsMpZ6iVhP/GEXxx4w3JAgXlI+MhrzIN/jb8l8+qXBL9hzKN8W3Df/OyB9+8fNuivZMBA3rN0NVXX222bt2ajeNFF11k7rzzzrlXGGU7CEMxXYi+BQEDH5VBGt2oqdNJ73V3F5rgX7T60tm/NZWspkaPAgekkz6S7AseUEeUfmmADyNXkFZ2mvhWCmJnjgA32LXwrFVmatb/pk5Ybmb2Pjkni2BXeieC/6ZnWtYIvmUa6bfBN44pJq3ieOUuDf+NI0x9VryGM45ZztLw3zBdGmPRQzK+MZaVtg952X4vvRaWfH3FihXmOzseYD3kReO1Yz6+FQ95WaiMNfyXAalUBP2HEowWbMJ/8xoBfPPybYP2zgUMKFhw/vnnm127dmXnRx2Qf/7nfzZveMMbsh+r7gB0EfoWBAx8VObTqNP547VXDhWgTiJ9d8ANFFDBmMZu/+zPZGkg5gYjEDQYQl4kxPAthCZ0A8Gu9hke/pvXJuALvnkJ8LVLJq0kwVpMWvFtgvaBz4pK4peJcbxyl4b/hgnXjdtIsu4hL6vVx5fzkFfdeNDqxXqegI8v2PgJoP/g5zLOVPhvXvrgm5dvW7R3LmDwe7/3e+ajH/1oLT9y3BNOOMGccsop5md/9mfnPm5MHziempoy09PT5rDDDjMvv/yy+Z//+R/z3e9+1zz++OPmmWeeqdV32mmnmYceesgcccQRtWVyZtD5+BYEDHxU5tOeW/2Oocl86nAec3vzL1JiGr26p7cwCVBvlxi+9Vr6nVM3aGoKdlkiHL4Idlla8WsO33itkLAEwNeSyLMG3zDXuvaXJDFpFeaXswT8l0c39peJkie06VrAazh59rCl4L+WxPC6rt0lP1u8dh3rl9tNfKnf6/t1OKdfPVzbyUxp4juZRIbPus6PqST6D8O8RpkC/81LG3zz8m2D9k4FDL71rW+ZN7/5zUPcKCDw67/+6+aKK64w9A0C2o9ZKHDwj//4j+av//qvzcMPPzwk+oEPfMDceuutQ+mjSKCL0LcgYOCjYoxvsEQ/YQ19mFjS2FHQgDqh7geVqWMQCk74a9/fVAnf/tKoPzMEu+rZjDMH/puXPviCb14CYe11g33OpBXHfzFpFbZBXQkO3zrZSUkn/419Dadl4+PLeUIbr+G0BJvXPr7NEpOT29TucsdRHL54yEvuUxy+cu39kGzy41DQi8MX/Qe5n3D4yrVDEnwnwwc6FTD40Ic+ZP74j/+4Yplf+IVfMJ/61KfMSSedVEmX7Bw6dGju1wt/8Ad/YF544YVCxatf/eq5XyEsWrSoSBvVBl2IvgUBg2EqvncGcoIFVpO00fP9/DvmuPb4fV9L+fadiz0/abDLysfwRbDLUuOvY/jytaKkJQC+lkSeNfjWc20a7GPSqp7bKHPgv/W06/w35gnqJr74ZWI9e25OE1+ujj6W8z0ks+TDN3tfHdt0/ly+5Msv3rS+ogq/DK/g8O5w+XqFe55Y1/7GPDzI4Yugl9yROHzl2iEJvv33gU4FDFauXGl2795dWOUtb3nL3LcMFi5cWKSl2Pj7v/97c/nll1dU3X333ebSSy+tpI1ihy5C34KAQZUK3Uifu+SdlcTUN+uK8tKO7yaODmgJ0OwmbiZVHu4egl0ukXbtw3/z2gN8wTcvgWbt2kmrWP/FpFWzPdzcWL6ufN/3ff6buv/r6+cSV/R1w94F//Uz8j0kc/Tsx4gPW7nKL1CTGsvX1/7iIa8auLPJsXzrNfUzx9f+xgS9Yvn6/BftcL1vxfKt14QcHwHw9VHpX1qnAgave93rzH//938XVvjiF7849wqiIiHhxmWXXWbuuuuuQuOGDRvMH/3RHxX7o9qgC9G3IGBQpeJOuNLNc+m2r1QLBfY0jR4Npp6f/dBy+UPI6IBWgWv4VjX1a08b7LI0JHx9kwDoeFqi1bWEb1UD9poIgG8THX0e+PoZYtLKz6VtqfBfv0V8/ivpe3L4Un8Br+H02yGUyuEb0tGnfN9T2RK/tUxi+fp+GS4JVtjj930dy7fvPOz5+dpfiR/F8vUFDTTXjz2fvq5j+faVQ67zAt9cZNujtzMBg5mZGXP44Ycbem0QLfTx4n379s19zDgHzi1btphrrrmmUP07v/M75hOf+ESxP6oNugh9CwIGAyq+CdeY6D5pStHYuTdwmnjFO17n7ZSC78Di/dpCsKv99oT/5rUR+IJvXgJ+7akmraT+i0krv13cVClfV0/f9t2+A52fZNIolq/PbyXH7Zs96s4nlm+dnj6luxOtMb+IcTlI+NK48YWN68307p2FOk0dCiU93JDw7SGGoVNC/2EISSsT4L95zQK+efm2RXtnAgYvvfRS5WPGJ5xwgnnqqaeycbzvvvvMhRdeWOj/1V/9VbN9+/Zif1QbdCH6FgQMBlTcQZPk1wWkLUWj53aCMYga2CkF34G2fmylCHZZEhq+CHZZivVrDd96rcixBMDXksizBt9hru79WjNhJOGLSathm9SlSPjW6epDuq/vMCr/pWPvu32z2b/9ngIlfplYoPBuwH8HWNz+JuVInsoeaJSN33wTvtp6lOvUp23477A10X8YZtLWFPhvXsuAb16+bdDemYABwTr66KOLjxHTB4jpFwbkpDmWj33sY+baa68tVP/ar/2a+cxnPlPsj2qj7vwQMBhYwH1/YOyvC0hTqsbO7QhLgxeDs+vHViq+/aAxOAsEuwYs2rwF/81rHfAF37wEhrW792oqIZ0s0vgvJq2GbeOmaPi6uvqyn6rvQDwkfClogNdw8rxJwpenuZulXN/VPlil4Zu6Lt20SHOtNXybNXc3F/2H7tgO/pvXVuCbl29btHcqYHDKKaeYb3/72wW7z33uc+Zd73pXsZ9y48orrzR33nlnofJ973ufoSDCqBe6EH0LAgbzVHxPWb1m13d8yIJpKRo9X32kkxDBCnesQAq+HTvlYHVTBLvsQbR83Q4wgl2W7Pxay7eqDXsuAfB1iaTdB98qz9QTRRq+qetSPdN+7Gn49oPA4Cx8/UzJgzIDjbKgga/PgNdwlqkOtuG/AxY/OuvnBjuzW0s/+2WzYNmJlbTYHSlf91pCv9dPXsrXr637qanv2Rq+qevSfesMn4GG77A2pLgEwNcl0r/9TgUMLr30UvMP//APhRXe8pa3mM9//vPmuOOOK9JSbHzve98zb33rW81zzz1XqKMPHtOHj0e90EXoWxAwmKfivktV+qRKysbO/ZmitE4+u3c1LSXfrjJw6+0OVCgfwS6XUjv24b957QC+4JuXwLD2lJNWWv917wWYtKraS8u3qq37e+4EkdZfNHzR3w37k4ZvWHu3Svh+USXt99oz1/J1fRgPeVmy82st36q2fuyh/9AdO8J/89oKfPPybYv2TgUM7rnnHrNmzZoKu2XLlpm//du/NW9/+9sr6dKdRx55xFxxxRXmscceq6jYuXOnOeeccyppo9ihC9G3IGAwT8UdOGmeskrV6LlPXSFgMG+rVHx910MX01IFu+y5p+DrDpzgu5au7AnMgTS2QgRS+G/oGJOcD74D62PSasCiK1vw34GlUv4y0WqV8nX7u9rgha1P39ZSvn3j4I7ZFl+9zixeu059mhq+rg+j3ztsDg3fYW3dTkH/oXv2g//mtRn45uXbBu2dChgcOHDArFixwjz99NMVdlNTU2bt2rVzryc6//zzzate9apKfmjn5ZdfNl/96lfNX/3VX5m/+7u/MwcPHqyInHzyyeY735G95qaiSLBDF6FvQcBgnoo7wSl9MiRlY+d2JjQfovPZvotpKfl28fx9dXYHTgh2+Si1Iw3+m9cO4Au+eQlUtbttr3bSKoX/YtKqaqPyXgq+ZX1d3nZ/jULnMs4ntH31kfbDu2yXprrDfwd03LZX0++1WrV80fZakv61lq9fa3dTXR9G/6HdtoT/5rUP+Obl2xbtnQoYELQvfvGL5pd/+ZfNoUOHvAwXLFhgzjzzTEOvKzrmmGOKP/pgMk2y79+/37z00kvm+9///lzg4T/+4z/Mnj17hoIEZeX0y4Z3v/vd5aSRbdOF6FsQMJin4j5ppXkXZqpGzx1A4YmreVul4uu7HrqYlirYZc89BV8EuyzN4XUKvsNakWIJgK8lkWcNvgOu7oAfk1YDNm3dgv/OWyb1LxOtvTV83b4MntC2VAdrDd+Blu5vpRyzlWlo+KLfWybp39bw9Wvsbir6D92zHfw3r83ANy/fNmjvXMCAoP3Zn/2Zuf766+cCALkhXnvtteajH/1o7sPU6qeL0LcgYDBPxX2PoPRJq5SNHQIGwx6bku+w9m6mpBw4peIL3/X7Uiq+fu1IBd+8PgC+Vb4p217SnIIvJq2qNirvpeBb1tflbUxWdc968N+BzVK3vaRZyxf93oF9fFtavj6dXU5L7cMp+KL/UO9RKfjWa0cO+E6GD3QyYECm+ad/+ifz3ve+t/Jh4pQmo18qbNq0yXzwgx+c64yk1B2jiy5E34KAwTyVVAED0pay0UtZL5/9u5iWkm8Xz9+tc2ofScEXAyfXSoP9FHwH2rDlEgBfl0jaffAd8Ew94CfNWr5oewf28W1p+fp0djHNfZo/1et/NHwxWRX2JA3fsPbulEjd77VnruWbq162fl1fa/l2/fzL9Uf/oUyjG9vw37x2At+8fNugvbMBA4L37LPPms2bN8/9/ehHP0rCkwIF9GHl9evXm5UrVybRqVFCF2HdQkEDe5FO6vrR019vlh++sED01j1PmCf2Hxwrl5m9T5rnLnlnUSd6JdGrt//L3C9iJtVOOO+fGrL/D1eeXPgIbdCvY9rAqa31QnuH9r4N1wf8sPt+6E4Ovfbrjw+1z+Owc1vrhetu+P49Dv8gOzx78fnm0DN7i74DvYZz6oTlY/XfkxYdZh4+7aSiTk8emDZv+T/fa0V/Zlx2wnH994k2+i9dV+j3+u0FPx7m0tb7dFvrhf5De/oPOa/nogOAjV4S6HTAwFqEvktw//33m89//vPmX//1X80zzzwz942CF154wRapXR9xxBHmpJNOMmeffba54IIL5r6PsHz58tryo86ghta35Lzou9S4/+/V7zHTu3cWiOhpq8PPOnesg6fzjjnSfPaNy4o6ffXHL5vVjz2FwdOsL8NvB51PBLvgD7geBtdDl+47sFu37YZJq27bb5KvvzZOCuEhGVxP3Pv3tlNONG87+ohifHTJt582Dzz/0ljHRwd2PWh+vPbKok4Lz1xlXrXlToxX8FCi1y/Rf0B7x23vJq1c0Yhio3cEehEwqLMKfdz4v/7rv+aCBz/4wQ/mii1evNjQ35FHHmmWLVtmjjvuuLkbQp2OcadTY+NbaMCExZhU73O1jXoKprk+SpeibuPSkZLvuM4h9XFTvlogFV+8WsBv5VR8/dqRCr55fQB8q3xTtr2kOQVftL1VG5X3UvAt6+vythswkH63q8wgBd8c9SrXscvbKfh2+fzLdU/d9pJuLV+0vWULDW9r+Q5r7HZKah9OwRc+XO9TKfjWa0cO+E6GD/Q6YNAHE9KF6FsQMJinsn/b3ebFm9YXiBZdfKlZsvGWYj9mI1Wj5wYxFl+9zixeuy6mKr0sm4pvX+C4frLkwzebRavXiE8vBV8Eu+rxp+Bbrx054JvXB8B3wDf1gJ80a/liwD+wj29Ly9ens4tpOd6fTRw0fPH9jbAnafiGtXenhNvv1YzZymet4evWCWO2Mtn5bQ3fYW3dTkH/oXv2g//mtRn45uXbBu0IGLTBCg11oIvQtyBgME8l1UAlZWPnPmlF75hdsOxEnxknJi0l375AQ7CrO5aE/+a1FfiCb14CVe3uBJF20iqF/7p1wqTVwGYp+A60dXsLk1Xdsx/8d2Azt99L33hbuu0rgwKCLS1fNwinfXhHcAqtFtHybfXJCSrn3qvRfxBAHKEI/DcvbPDNy7ct2hEwaIslaupBF6JvQcBgQCXVACpFo5ejMzw4025vpeDbbQLV2qcKdlmtKfgi2GVpDq9T8B3WipT/n71zAbqsqO59Zx6Mw1tFLV4CETUm6jUMMpQgQiVoUjJomJhcJTGJZRgf5WhExUeU0VJSYDTlVESBGLUi3GiURMCUGmM0vgCHl1hRERAEBhS98hrnDsyMd9b30efRZ+3dq9fqfU73Pv9d9X177+5efXr/1tqru/faD08AfD2JbtbgO+TaRT9t5YuLVkP9cFtWvlydNaaFF6tyXdy08MWTiXFLsvCN115PiXDcSy2nb88tX7XadBBavlx7crzmy3QwBQpr+RZ4KOYmYfxgRjj1CmC/3SIH3275llA7AgYNWti5c6f79re/7ZYuXbrwvYPf/M3fbCjZbTKdhNyCgMGQSo7OO5ezC4MXuEtwUU+5+A613o+t0F60E6ccfHOcR/3QyuRR5OA7WStSPAHw9SS6WYPvOFfuIpHW91LNVr5ce3DRaqgzK99hTfVvhf209e5WImLlGwYxMO4dtzMr3/Ha6t8Lx71WG7bwzd2W+rUzeQQWvpO11Z/C9dcYP5SrV9hvt7oB3275llI7AgYNmnj/+9/vTj/99EHu5Zdf7lavtt0BMagsYYNORG5BwGBIheu8NXddWZ1eOJGjFloGEcMj7MeWlW8/KIwfRWgzlsezrXzDiRMm/eO6svIdrw17IQHwDYnk3QffcZ6hv8NFq3E+pe3Bfhc1Eo53LWOGUR1b+OLJxFGS/LaFL19jvanhuJeOxDpX0vANvxuTox31aqW95Rq+7TXWnYvxQ136g/12qy/w7ZZvCbUjYNCghbe//e3u3e9+9yD385//vHve85432J/WBp2E3IKAwTiV8A6n1ElUDmcXvlLAegFi/Ajr3svBt24CfOvDyT+VQrCLZzXLVNhvt/TBF3y7JTBZe86LVhb7xUWrSd2EKRa+YV192A8vVs3iYqvnGJ5HqWNvX0+f17DfSe2GNrzsiNVu7/MvnCwoSNHyzdkGQTOrLaLlW+0BCxoe+j0S0fphC1+MH+LKsvCN144S4DsfNoCAQYOeETBoAFNoMnfhNXUAanF64cCTMOFjx+PGYuE7XlO/9qzBLk/DwhfBLk+xeW3h21wrcjwB8PUkulmD7yTXsN9OHTOM1qjlm7MNo+3p27aWb9840PGEF6tyXKTX8g3tF08m8han5cvXVn8qd6HTYjupfEO7JaLaC771ayN+BKl84zXWXyK0IYwfytUp7Ldb3YBvt3xLqB0BgwYtIGDQAKbg5PDDa9RU6QDU4uzCC74pv1swzqxNs/DN2pACK0Owq0ClBE2C/QZAMu+Cb2agQXXgGwB5eDfXRSst3/CCAzULF60mdaXlO1lTP1K4MYPmyURPQ8s3DFxQfbBfT3W41vId1tDPrVxzp1S+nN/HE+HNNpbKt7mmfuVwdiS95jBKQssX44dRis3bWr7NNSJnlAD4jtLo7zYCBg26RcCgAUzByTSJ2nr+RrftsovHWintwDVOjxvwWu4yGGt4z3Y0fHuGoPFwLMEuX6mGL2e/0vPF/+68rDV854VNjuME3xwUm+sAX55NLh+Yype72ICLVryOKDWVb3NN/cgJ7db6lIGGL55MlNuShq+89jpL0pztvnWnup133jE4ALLjFSetdSvXrR+kSTakfDm/az13JO2rvYyUb+3Hmdr+0A+TvGYOlcqXs2OMH5q1l8q3uSbkcATAl6PSrzQEDBr0iYBBA5jCk7kBKDU5dhFf4+y46D4GnryBaPjyNfUzFcGusvUK++1WP+ALvt0SaK6dGzOkXrRKtV9uso+xQ7OOUvk219SfHLLbe04+fuyAYuPcscIjOxq+3PgXr+EcgTqyqeE7It7rTc6O6YBTLn5K+XI2S7+Fp2KIQvMi5dtcQ39zMH4oX7ew3251BL7d8i2l9qoCBuvWrXMXXqj7KFIq8AcffNA99NBDAzF89HiAoviNpgEoTchXnrberVizlj0GqdOjx7DpSYbRu2J8hRh4ehKTaynfScn5SOEGnnTk0osAKXy5iRMuWLXbWQrf9pqQyxEAX45KvjTwbWbZNGbARatmZtPOgf1OEs/xZKKvNYVvrrtq/W/PwzqF7zzwGD1GLoBK+TQm3WPDOW75qtWjxdntNr5UP9ks5mwsOlFiG19RBT0uhPFD+cqF/XarI/Dtlm8JtVcVMHjmM5/pNm3aNBNuCBjMBLv6R5suvlKF3CBU4uzaAgVcnerG91BQwreHh518SE0DT7IvBLuScWYTgP1mQ8lWBL4slmyJ4BtHabloJeGLi1ZxHTSVkPBtku1zOo0XLK/h9GxS+HLBAulNDf735m2dwnfe2PjjbfK/lE/2Ra8oagocNPGlOimotv3qK/zPjK1xg9cYjsadJr6NAnOY0WS/kmsDEr4YP+iNSsJXXzskwXc+bKCqgMEznvEMd911181EMwgYzAS76UebJlO+UurIaQC6bNffkgMOcoc/61h367bFp0pIdseu92rSevuuQWf4XQRfB60xWRql0byNTqWZzWgO2Vz4Xlef3zb4bOOLYJcnqF+38dXXCklPAHw9iW7W4Bvn2jTpJ0lctIrz67IE7Jen2zReSB2XSvjiyUReB5JUCV9JPX0u02TL/pj9nG23h58SX7prDkdzN1oOWbHc3fjNr4vnbHtuOHsg6+vHupkA7LeZjc/B+MGTKG8N++1WJ+DbLd8Saq8qYHDccce5r33tazPhhoDBTLCbf5QGoNsuvdhtvWCjuS6ugpRXFnDy85KGziRN02S33J2DvhY/cUKwyxPpdg37Bd9uCXRbO+xXzldz0WrpgQe7X/3qVwsXq1JuNMBFK5leYL/tnMhmw+8ZkASNE9qeTPS1xvi23XCAu7Q9xeZ1jG+z5PzlxMa+ViKYs6UThP3KmWH8IGc1rZKw325Jg2+3fEupvaqAwcc+9jH3F3/xF2PsDjvsMHfssceOpeXYufbaa931118/qAoBgwGKKjdyD0Jp0EkTMX93S5VQptxodCppwMlmEexKY9Zladhvl3SdA1/w7ZaAvPbc44Xwl3HRKiQS34d/aGfUdqGq7clEXyvHty1QIKnT1401+rdUGyB7fmDDGY2vE0qtj564QYA2ldqwPOcfhrnYGiWA8cMojTK2Yb/d6gF8u+VbQu1VBQwI2O/+7u+6//zP/xywe/rTn+6uvvpqt3Tp0kFajo23v/3t7t3vfvegKgQMBiiq3qCOnB4bpAuxTe+1bDpAf1c3AgVNhJrT0Zk0s4nl5B58ItgVIz6ZD/udZJIzBXxz0pysC3wnmUhScNFKQqn7MrBfGePYWMGPYf2Tif6VLsR3xx234TWcMszJpWC/ycgGAt4HUwLmbAMsU92A/epwe9tNtdumX0PQq4lMezrst52PNRd8rQTrkK8uYHDTTTe5pz3taW7r1q0Dwhs3bnSvec1rBvs5NhAwyEGx7DqoM6fgAX2jYMfmO9yPLv+GO3i3ZQuNponVkv0PcksPWFyvWHMKniYwqhOdig2gt1cEu2wctdKwXy05mRz4yjhpS4GvlpxbeNUQ3e1KS+rk31+kxY0Gev4kCfuV8aNxAp5MlLGaZinYr522HwP7OdvOO293O3d9a46W2x7c7g47+pjBnG3ZkasbP5Jsb8n81QD71euc7BbjBz2/HJKw3xwUm+sA32Y2fcmpLmBA4N/73ve6N73pTQMd7Lvvvu4HP/iBe+xjHztIs24gYGAlWJc8nF23+gLfvHzDiROCXXn5hrXBfkMieffBNy/PsDbwDYno90PfO3rRKrzRABet9JxHJWG4ejvrAABAAElEQVS/ozRk22Snbd9BktUyLIUnE4csUrdgv6nE0sqDbxqv1NLgm0qsuTzGD81susqB/XZFdrFe8O2Wbym1Vxkw2LFjhzvqqKMWXkXkQdK3Df7xH//R75rXCBiYEVZXAZxetyoDX/DtlkC3tcN+wbdbAt3WDvsF324JdFs77FfH11+gwpOJOn65pGC/uUjy9YAvzyVXKvjmIsnXA748l1yp4JuLJF8P+PJc+pRaZcCAFHDNNdcsBA22b9++oA8y1m9+85vu6KOPzqIfBAyyYKymEji7blUFvuDbLYFua4f9gm+3BLqtHfYLvt0S6LZ22G8evj54wL3SJXw6Bq/hzMOcaoH95mPJ1QS+HJV8aeCbjyVXE/hyVPKlgW8+llxN4MtR6V9atQEDUsUZZ5zhzjnnnIFW1q5d6z796U8P9i0bCBhY6NUpC6fXrd7AF3y7JdBt7bBf8O2WQLe1w37Bt1sC3dYO+wXfbgl0WzvsF3y7JdBt7bBf8O2WQLe1w37Bt1sC/a+96oABffj4j/7oj9yVV17plixZ4l70ohc5+gByjmXTpk3uLW95i/vFL37hDj74YHfBBRe4/fbbL0fVSXWQk+OWX/3qV1wy0pQE0JkowQnFwFcISlkMfJXghGLgKwSlLAa+SnBCMfAVglIWA18lOKEY+ApBKYuBrxKcUAx8haCUxcBXCU4oBr5CUMpi4KsEJxQDXyEoZTHwVYKrTKzqgEFlrFXNpRORWxAw4KjY0uD0bPxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGrQRoBg8K1RCchtyBgwFHRp8HZ6dlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzq0kSAYPCtUUnIrcgYMBRsaXB6dn4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjV4M0AgaFa4lOQm5BwICjok+Ds9Ozk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZ1eTJAIGhWuLTkRuQcCAo2JLg9Oz8YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxq8GaQQMCtcSnYTcgoABR0WfBmenZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV8+uJkkEDArXFp2I3IKAAUfFlganZ+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjF5MG3xghWz742vjFpME3RsiWD742fjFp8I0RsuWDr41fDdIIGBSuJToJuQUBA46KPg3OTs9OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+eXU2SCBgUri06EbkFAQOOii0NTs/GLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bvxqkETAoXEt0EnILAgYcFX0anJ2enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPbuaJBEwKFxbdCJyCwIGHBVbGpyejV9MGnxjhGz54GvjF5MG3xghWz742vjFpME3RsiWD742fjFp8I0RsuWDr41fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn41SCNgULiW6CTkFgQMOCr6NDg7PTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2NUkiYFC4tuhE5BYEDDgqtjQ4PRu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38apBGwKBwLdFJyC0IGHBU9Glwdnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17GqSRMCgcG3RicgtCBhwVGxpcHo2fjFp8I0RsuWDr41fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+NUgjYBB4Vqik5BbEDDgqOjT4Oz07CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tnVJImAQeHaohORWxAw4KjY0uD0bPxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGrQRoBg8K1RCchtyBgwFHRp8HZ6dlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzq0kSAYPCtUUnIrcgYMBRsaXB6dn4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjV4M0AgaFa4lOQm5BwICjok+Ds9Ozk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZ1eTJAIGhWuLTkRuQcCAo2JLg9Oz8YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxq8GaQQMCtcSnYTcgoABR0WfBmenZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV8+uJkkEDArXFp2I3IKAAUfFlganZ+MXkwbfGCFbPvja+I1K79x8u9t26cVu5523ux2b71hY77zzDrdk/wMXii3Z/yC39IDF7d3WrHXLV60eFce2ggDsVwEtQQR8E2ApioKvAlqCCPgmwFIUBV8FtAQR8E2ApSgKvgpoCSLgmwBLURR8FdASRMA3AZaiKPgqoFUmgoBB4Qqjk5BbEDDgqOjT4Oz07EJJXGwNiXS/D/u1M37oqivc9k1XuK0XbEyujAIJFDRA8CAZ3YIA7FfHTSoFvlJSunLgq+MmlQJfKSldOfDVcZNKga+UlK4c+Oq4SaXAV0pKVw58ddykUuArJaUrB746brVJIWBQuMboROQWBAw4KrY0OD09P3+xddtln9l1N/YdSRXhYmsSrsbCsN9GNK0ZZLsPXvoZt+2yi1vLSTNXnHQKAgdSWCPlYL8jMDrYBN8OoI5UCb4jMJSbbTcb3Hrrre6wo4/Bk11KtjEx2G+MkC0ffG38YtLgGyNkywdfGz+SRv9mZ6itAfarJSeTA18Zp5pLIWBQuPboJOQWBAw4KrK0tk6basDrRmQcqRSx3Hr+xiwXW33gYOVp692SAw6SNwIlHTprnRFs2fCmLLYb/rq35T02nBNmzf0+/O/0TQD+oVvm4Kvn6282wJNdeoZWSdivlWC7PPi280nJxfghhVaesrBfPUf0b3p2Gkn4Bw01mwz8g41fLdIIGBSuKToRuQUBA45Kcxo67WY22pyt521Uvb4l9nu42BojxOej0+a5cKnkD8h+t199BZe9kEZPClDwcNmRq93SXa8cWnrgwW7HHbct5O3Y9RSNH5i21UG2vPd5F859AAz+t9HMppYB/2BH7c957tsmuAM+jS/5BDzZlcasy9LwD3a68A92hlwNfvyAJ5g5OtNJg39I44z+LY2XpbT3D7jpwELRJgv/YONXgzQCBoVriU5CbkHAgKMymYZOe5JJjpT7Tju184uty45Y7fbccPbcX2yV6AudtYTSYhnyCfevO5UVIJtbseaUXX9rx/Lb+NJFAqqTPpLMBQ8oaEBPzYR1jv1AT3fgf8tQbJv9ltHCcltBNoxvm+TVD57sysvTWhv8g56g9w+4mK1n2CRJYys8wdxEZ3rp8A9prNG/pfHSlsb8Qksurxz8Q16epdaGgEGpmnm4XXQicgsCBhyV8TR02uM8cuxRB01cue8UNF1s9b/LdSqSi630Whf6oCyWdgIc33aJ+csl++WCBWS7K9etb7UzCd9t9C0EJnAwj0ED+N+yzi+J/ZbV4tm2BpPR/PyJaeqTXfR6QhonHHbYYe7Gb34dT3blV8tCjfAPaWBxMTuNV2ppPMGcSqzb8vAPcb7o3+KMcpXA/CIXyTz1wD/k4VhyLQgYlKydXW2jk5BbEDDgqCymaTptvG6kmafPIa7cxVbJxVBJZ0IXW+luojAYQfUjaOC1wK8lfHnJ+Ultsl8KFux9/oWtIFL4Nl1IIDueh9cTwf+2mtJMMlPsdyYNLOxHMRnNr5Am/0u/1NXNBvP6ZFeq9uAf0ojhYnYar9TSeII5lVi35eEf4nzRv8UZ5SiB+UUOinnrgH/Iy7PU2hAwKFUzD7eLTkRuQcCAo+IWXg3CXdSm0piU8sykqfesec7ExXzJxVZfv6RTmfeLrZ6VZi3hq6m3LzKc/e5x5tniVwWl8qUA2JZ3njGGr+9BA0yaxtRd1E6q/RbV+Ck1RjMZxR3wceU0+QUaP8Se7PK1t9kvnuzylPTrNr76WvsnmXoxW+Mf6LyYx9dxkp/AE8xlnjPwD816Qf/WzCZnThNn+g1c38lJOr0u+Id0ZrVJIGBQuMboJOQWBAwmqTR1JpJJqcTZzfOklJsk0Udh6c5/ySLh6+uhoAG91iX8gBHpMXYnuK9j3tYpfOeNDR0vZ7977foYsfRVV1q+XNAg5bypSVfwv+VqS2u/5R5R/pY12S/9Eiajet5NXFP6c4n94mYDvY4kfPW190OS7BgXs7vTZZOfwBPM3TGX1gz/0EyqyW7RvzUz0+S0cY7ddCCx33m+vqPRx6iMhO9oeWzXSQABg8L1RicityBgME6lrTORXmSWOL15nJRyr2fQXPSU8B3VKvfYt+Z3R+vs83Yq3z6zGD02zjdo7EjLl7PjlGDF6LGUus0xprZi0lSOxrT2W84RdNeSNvuNTUZ9q9r4zvNk1Ppkl4SvL0NrLkjb9ye7Ro9fu91mv9o6+yLX5B8kF7M9gza+ZLPz/jpOzk9g/OCtZ/brNvudfetm1wLOblOeXPYtl/Kdx/6tyf/CP3jrmf1aar+zbylaoCWAgIGW3JTk6CTkFgQMxqlYO+1UZzcvnTYFSO45+fgx2CmdtBdM5UtyXHAGE39PdHyt4TteQ3/3wqcLpmW/nijZ8QMbznDbr77CJyVdSB8IFbwB/1uwcnY1Df6hWT+YjDazseaEvpfq0wRLU+2XG59pgsTW469FPpVvLceVq51c/5YyjpDw5ca71P55GPNyfiLlfJXw9bZAnPEEs6chW6fwldXYj1Kc3aJ/y69bzv+mBGVS7ZcbP8yDH9ZqLpWv9ncgN1sCCBjMln/01+lE5BYEDIZU0GkPWeTeCp8uoE5z30u/qvoZTadCg/v71p069u2ElImEqqGVCmn4Vnqo4mZzAz/NgJ5+0MKXuyipbYf44KdUEP53SqCNP2OxX+NPFy1unYz6g5Py5XxSHyejnM+z9N1Svl4f8/Bklz/WHOtUvjl+s4Y6uP5NY8cSvvN4MTucY5BNdMV31N44/6D53dE6+7wtsd8+H394bOjfQiLd7HP+VzN3SrVfbpwG/9Cs41S+zTUhp1QCCBiUqpmH20UnIbcgYLBIJVenrXV23KBT05lxOp51Gk1ewqcLUqL6o+3X8qU6wo6bLq7QtxOk758fbUdfty18+8qEjiucjGoHfDn45mpLSfqC/y1JG81tyWG/zbXXm4PJaHe6C9mm3JEdtkpjvzR+6fuTXSEn7b6Gr/a3apIL+2xqu2YMkcqXm1dofrd01twcQ+MnUvkSF/pteg3UtssuHmDqY+B2cHCGDQ1fw89VIYr+rXs1YX7RPeMcvwD/kINi+XUgYFC4juhE5BYEDBapoNPmrCNPWjhZsjxdQC2ydCqhnvs4ebJqzcLX+tulyv/fIw8fa9q+l3zFLTngoLE06Y6Vbzg5tp5P0nZ3WS48LzWTfd8+DV9cFPT04msN33it9ZbINRn1BFL5chcF+3KzQRjkJ0bWY0vlS7/J6djaDqq3j4uGbx85+GMK+2tKn1b/Ni8Xs3POMTT2S5zxBLO3+Pa1hm97jfXmon+bju4wv5gO5xy/Av+Qg2LZdSBgULZ+Fi6yck1EwGDyznPipJ0MWpxdXyel4asatE8XkF4sfEk+HKD14WIrHVeuxco3VztKqoc7Lx+16UZVE3PxDQfAWn+lOojMQuE5SdVrj8fCl9Ozth2ZERVTnYVvMQeRuSHhuTiti4H+MPoc7AovBFoD/Bb7zd0Wr78+rS18+8Rh9FhCu7GMOTV8+34xm44PTzCPWly52xr7Lfdo7C0LfQP6NzvTsAbML0Ii5e7DP5Srm5wt613A4O6773bf+9733L333uvuv//+hb/dd9/dPfDAA26fffYZ/D3xiU90j3vc43Ky7KQuOhG5BQGDfK8b8XwtTi/3AMK3aVZrbjCvvdjqj8HCl2sPLgp6sotrC9/xmvqxF56TK/9yvVu5br364HLwDQfB1omG+mAyCIZ8rcdi4Zu7LRnwFFeFhW9xB2NsUHgeUnXW/kTDt6/BrpxPdnlVa/iSbDh2sFz49W3p41rLt48sQpuhY7TcMEPyGr6hnyLb7cvrOMM+23peaviSXmgJg8fWscxirf36b+HbLxLOoX/rXqOhf7Cekxb7zd2W7ulN/xcsfKffWvyihkD1AQMKDHz84x93X/jCF9y1117rNm/eLOZw8MEHuyOPPNIdddRR7iUveYl7/OMfL5adVkE6CbkFAYO8nbbV2YUTDOvgl9P5NNPC1yXMsrP2x41BvScxubba72SN9aeEgzzLhD8X3/ACgPW8mqWWck6arHz75n9z69XKN3d7Zl1f6Bus56GFb+62zJotFwSZ5c0GxCMcO1iDQ7NmnPv3Lfabuy0l1Beek9bxvIVvaLtWX1UCX2oDnmAuRRPxdljsN157XSXQv01HX5hfTIdzjl+Bf8hBsfw6qg0Y/OQnP3Fnnnmm+8QnPuG2bNliJr106VL3whe+0L32ta91z372s8315aqATkRumfeAATptzirypYUTJsvFVt8qa6fSp4utnknOtZVvzraUUFc4IbV8v4COJwff0G9ZXoMyS8bhcVBbcFFwlhqJ/3YO+43/Sh0lck5G/RFr+fYt2BWOHaxPdln5kjzGDp5i81prv8011psTjh1mOf4NbdcavChBK6HPozbNcvzAtQdBxXFLgX9Y5IH+bdwuutjD/KILqt3WCf/QLd8Saq8yYPCd73zHrVmzxv34xz/uhOFJJ53kLrroIrfXXnt1Un9KpXQScsu8Bwxyd9o5nF04sK/5TqDwribr4DkH33AQUevFVu58tqbl4GttQ2ny4aTfEjDIxTecmNY6+Yf/Lc3a29uTy37bf6WO3LAfoVbP8mIV/X7u/pbqnNUS+oZZXmz1DPo0NvPHlHMN/zCkGfbRlDNL/8C1xzoeHx7tbLbwBPNsuGt/Ff5hSA7925BFV1shY+tNBznsF2OIZm3n4NtcO3JKIVBdwGDTpk3uhBNOWPgmQZcQn/a0p7lLL73UHXLIIV3+TLRuOhG5BQGDN7ltl108QINJ6QBFlo2cF1t9g6ydSjhxqvViq+eRe23lm7s9s64vvIt4lpP+URa52zVa97S2wwE9/O+0yOt/B/5hkV1ou9bJqNeIhW+fJqNdjB2IsYVvGCTCzQbeaodrC99hLfVv5b6Y7YlY+IYBxZpvRiIeoQ/G+MFbSblri/2We1TpLUP/ls4sVQL+IZXY7MvDP8xeB123oLqAAb0u6Otf/zrLZb/99lt48uBJT3qSO+ywwxY+cLxixQr3vOc9zz300EMDmfe///0L+zfddJP71re+5a6//vpB3ujGYx/7WPeNb3zDHX744aPJU92mk5Bb5j1gkLvTzuHs+jQpzX1RMwdfBAw4T7CYloNvc+115uT0ETn55j63ZqGdnGyp/Tn49sn/5tZpDr652zSr+jAZ7ZZ8bt9ArbXaL8YO7Tq38m2vva5c+Ifu9RUGQKxPTOSwX4wfmvWeg29z7XXloH/rXl+5GeewX/iHZr3n4NtcO3JKIVBVwOCSSy5xL3jBC8bYkaG++MUvdqeeeqp77nOf65YtWzaWTzsUIDj99NMH6W9605vc2WefPdj/0pe+5P72b/924cPJg8SHN+j3/u3f/i1Mnto+HR+3IGDwHLfzzjsGaCyvG/GVWJ1enyalXVzUtPIlPXXRLq//2tc5+NbOYLT9mJSO0si7nXtAT62z2m+f/G9ebS3WZuXbRZtmUWcXtkvHYeHbp8loV320hS/pp6t2Ud19WKx8+8CAjiH3uMFzsfDtk38gHl34YAtfahPGD0ShebHyba65rpyu+hEr367aNQvtwD/MgrrtN632a/t1SE+DQFUBAwoK0LcFRpcPfvCD7lWvetVo0sT2L3/5S3fooYe6u+++eyHvkY985MI2feh4dPn2t7+9EHS45557RpPdV77yFfec5zxnLG1aO3QSNi0UNPAn6bytw87x0Vfd5ErgUWq7Uu3juqcf6g7ebRh8++3rb3W3bntopva2447b3D0nHz84HeiVRI+87L+L0HsqX5T/tc71du9fvsRtv/qKgb3QXWy7HXl057/b5oeO3Xt3d8mTDhi06Rv3/z+35ge3z/S8amtvk52W6udKbVcTR6R37wdC+/7FScdN3Gyw9MCDZ+oXDlmx3F3ztOHrL297cLv7X9+5pTq/QPZcIl9q189XPWHgd2mDXlGH82/65194Ppa2X6L99sk/kL5L7Kcxv5jf6wkp/UCJ/qFv/VuJ/qFUv1VS/zk2wMJO7whUFTBYvXq1u/LKKwdKeNe73uXe/va3D/bbNl72spe5j370o4MiN99888JriwYJD2989atfXXiF0bZt2wZZq1atchRMIKc87aXpN0tyEimdba52o9PudnCHi63d8s11HqCeZj2de9jj3P9+9PDD9f/88/vdq370k5leJHrgzDeOfXuF3p+++yteO9OLlRr/Df/bbHcanjiPp8cTk9FuLxJf+uSD3DF7PWIwVD75hs3u6/f9cqZ+98FNl7v71506aBN9w2CfCy6qzu/CT3TvJ0r0D327mF1q8K7UduG87/68l47b0L91O34gPWB+UY69S88LX24wyMJG7whUFTB41KMe5X7xi18MlLB582a3//77D/bbNs455xx3xhlnDIp88YtfdCeeeOJgf3Tjk5/85MJrjqiT9sstt9wykw8g00nILaNt4/L7npb7seEczq5Pjw3nfo9rDr5dfYyuD+dKDr594DB6DOGHRC0fyc7FN3zUNsfH/kaPeVrb8L/TIp3nd3LZb57WzLaW8Bws4XWGRCS8UGn9SPusKOf2DXQcVvvt09isC71a+XbRplnV2cV5mINvF+2aFePcPjgHX7ySqNkacvBtrr2uHPRv3esrN+Mc9osxRLPec/Btrh05pRCoJmCwZcsWt+eeew64HXjgge72228f7Mc2PvvZz7oXvvCFg2Lnnnuue+UrXznYDzeOP/54R08b+KUtwODLdLGmE5FbEDA4deJ1I8tXreZQidOsTq9PHUp4sXXFSae4PTacI2bJFbTyDYMYdHf2ynXruZ+ayzQr375BCyeAdHyWj+tZ+XLtwUXBodVZ+fbJ/w6p5Nuy8s3XktnWlHsy6o/GwrdPthv20znGDsTYwjdsE8YO3mqHawvfYS31b+W+mO2JWPiGYwfLzQ++PbNcd+GDLXyJRZ98cBe6tfLtok2zqDPsS9C/5dcC/EN+pl3XCP/QNeHZ119NwGDHjh1ut912czt37lygdtBBB7nbbrtNTPALX/iC+73f+71B+Te+8Y2OnjpoWi644AJ32mmnDbL//u//3r361a8e7E9rg05Cbpn3gEHuTjuHswvbVPOkNPcEJQff8A6rHHeGcudWjWk5+NZ43LE2hwNP7eA+B99cbYkd8zTyQ1+n5erbmoNv2Kaa/a/nkmudg2+utsy6nvA8tAQR/bFY+fbpYlV4s0GOi5tWvuFF4Fqf7PL2lntt5Zu7PbOsD/6he/phX209H3PYL55gbtZ7Dr7NtdeVg/6te32F/gHzi+6ZW34B/sFCrx7ZagIGhPQxj3mM+9nPfjage9ddd7nHPe5xg/22jY0bN7rXvva1gyJvfvOb3d/8zd8M9sONb37zm+6YY44ZJL/mNa9xVMe0FzoRuWXeAwbotDmryJuWe+Jk6VS60HdeWrOvzcJ39q3vpgWh3dCvaC8QWviGFwQt7eiGVFqtIVdcFEzjN4vSFvudRXu7+s3ck1HfTgvfsE01B7vCmw2Ij9bnera01vLl2lPrk12jPHJva/nmbses6wvPRevFbH88Fr59u5gdjh+sFwSJsYUvyYd6r9kH0/HkXqx8c7dnVvVx/Qn6t7zaCP0D5hd5+XZRG/xDF1TLqrOqgMGRRx7prrrqqgHB973vfe71r3/9YL9t40UvepH79Kc/PSjy3ve+173hDW8Y7IcbP/zhD92TnvSkQfLzn/98d9lllw32p7VBJyG3zHvAIHenbXV2XHtqn5Tm7LStfMPgBQbz417Byne8tn7thbZDH7zc+/wLkw7SyjdHG5Ia3HFhzt9ZJk1Wvlx7ave/OVVo5ZuzLbOuK2e/5o/Fyrdvd8CH/s56QdDCN3dbvM77tLbw7RMHOpbQP1htl+q08u3bxeywv7ZeELTyJR3hCWaiwC85+PI115mau0+x8M3dlhI0EvoHahPmFyVohm+DxX75GpFaIoGqAgZve9vb3FlnnTXguGzZMvf5z3/e/c7v/M4gjdu4+OKL3dq1a8eyLrroooUPG48ljuxcc8017ogjjhikrFmzxl1yySWD/Wlt0InILfMeMCAmuTtKi9PL3RZO59NO4zpty91WWr7hBI44WAYP0+Y4rd/T8p1W+2b1O9zd/ZqAk5Zv6BuIQx/sNzwu64UVLV/imbstVGffFgvfPrHg+rUc56OWL9ee2oNdXfTZGr6c78+h6z6dD/5YNHy9bJ/W4flovZjt2Vj49vFidthnW89LC9/QX+XSudd9H9YWvn04/tFjCO2F8mZhv33u30L/gPnFqAWWtw3/UJ5OcreoqoDBtdde61atWjX4jgHB2GOPPRa+LXD66ae7xz72sWN87r//fvfBD35w4dVD991331je5s2b3f777z+WNrpDTxNQkMAvL33pS93HP/5xvzu1NZ2E3IKAweSdQMRJ22lbnF2fO+3wzibtQNrCN7z70jpw4M6n2tMsfGs/dkn7QzsmmZSggZYv5xv6Yr85J01avqRHjrG2H6D6+rhY+PaRByaj3Ws1ZKx5ssu3Umu/Odvg29LHtZZvH1nQMYV2Y+1PLHzDflY7Bi9NVzmPy8KX03fK2LA0rl20x8q3izbNus7QR6B/y6uR0D9Q7Vo/bLFfzC/ierXwjdeOEqUQqCpgQNDo2wNnn332BL9HPOIR7qlPfao77LDD3NKlS93tt9/urr/+enfvvfdOlD3hhBPcl7/85Yn00YS//uu/du95z3sGSe94xzvcO9/5zsH+tDboROQWBAwWqaDT5qwjX1p4txXVrB0YaTqVUL/0+/jYMVGYXDR8J2vpZwrZ8X3rTnU777xjcIA08V5x0lq3ct36QVrbRipfbqDZl8m+5xSen1rfQPWl8u2iDb7OPq61fPvIIudk1PPR8OV8hHZS7NtRypo7NsuFuFS+oW8iLn1h24WOU/l20YZS6gz9Q45+W8s3tGPLOVQKX2oHN7fAE8wlaWi8LVr7Ha+lP3vo37rXZej7ML/onrn2F+AftOTqkasuYPDggw+6o446yl133XUqynvuueeC7K//+q+3yq9evdpdeeWVgzL0WqM/+IM/GOxPa4NOQm5BwGCRSq5OW+vswg6NWtW3SWn4wTU6xtRJi4av9a5waue8LBq+88LGHyc3QaU8yR3/qXw5v0C/1TffAP9LWi1/SbXf8o/I3sLwHMVk1M40rCFXH55qv5xfkvj5sP3zsp/Kt+9cuLECLmbn13roH7SBGYv94gnmuF4tfOO111sitF86ktS5Mcmk8p2X/o07zmnwJZ3QEo4RKa1vczg6JuuSar/W34P8bAhUFzAgTN/97ncXvlvw05/+NJnahz/8Ybdu3bpWubvuumvsdUXLly93d999t9tnn31a5brIpBORWxAwGFJBpz1k0cUWTZ62nr/Rbbvs4rHqUzvulE6F06nlgs5Yw3u6k8K3pwiih8UNQEmIJqp7bDjHLV+1urEOCV+qn2x39EkGX2FfB5rcuZrqG4iRhK9nSWtOl7goOEpofDuV77h0//Y4+9HYrSeTynceJqM0drA+2ZXKl9Or9kKk/+15WKfab9+ZhP2a1YY0fPt+MZsLzGjH+Rq+nA/GE8z8ma3hy9fUn1T0b93rMvTD9IuacVqq/XLjCMwvmvWdyre5JuSUSqDKgAHBpG8S0CuDPvCBD7ht27ZF+R5yyCFuw4YN7s///M+jZelbCb/92789KPfKV77SnXvuuYP9aW7QScgtCBgMqeTotFOdHdeZWCcUwyMqb4tjTK2UDu5T+HKD+D6zzaHtFL45fq/mOrhz1x8P2TO9oigMHMT4Up30JM72q6/wVY2t+xosoIPkfAOdr3jd05gJzHQnZr8zbdwMfxyT0e7hk3+45+TjJ34oZfIttV9u7EA/3Gf/OwFWkSDlq6i6WhHObqXj3fCgNXw5W+7jxWw8wRxaS3n7Gvst7yi6aRHnJ+iX0L/l4Y35RR6OXdYC/9Al3XLqrjZg4BHefPPN7rzzznPf+9733A9+8ANH+9u3b1/4GPKhhx7q6O+5z32ue8UrXuF22203LxZd//CHP3T33HOP23fffd0Tn/jEaPmuCtCJyC0IGIxTQac9zqOLvSbGdHFw5Wnr3Yo1a1t/Ntap0Htj6UmGebo7uxVYYmaMb2J1vS7ODUJHD5hsmoIGuz1s00t37S898GBHfpdkd+z6FgKtt+8KFIRP3ozWQxcY9txwtltywEGjyb3bbvINmDSVo2r4h0ldcH4gNdjla5Xy5QKW9Jv7XvpVX1Xv1twx00HSccee7PIw2vhS/RT8wdjB00pft/FNr60fEjkuZnsSKXxzBTL9b5e8Jh+MJ5hL1tBi21Lst/yjydtC9G95eYa1YX4REilvH/6hPJ3kblH1AYMQyEMPPeS2bNmycKE/zKtxn05CbkHAYJKKpdOWODtMSvm7ib0m2ib/bXzbAgVtdfrfxTr9dS5gtmjL3EQ1F5uUi+W5fnOW9cD/zpJ++2+3+d92yf7nYjI6HR03+Qf69aYnu3zLmuyX6pzXJ7s8mxzrJr456q65DlzMno72iHP46jL6ZekTHSn2yz250feArVWLKXytv1WrPPq3bjXXxFdyjUBiv1Q/bjrQ6VDCV1czpEoi0LuAQUlwc7SFTkRuQcCAo8K/19qXxKTUk7CtmyZRvlbqwOnu7GW7/ujOaro7m9ZkyzvuuC3p7uy9z7/QV4t1hAA67Qighmyy5wc2nNH4OqEGscbkeXmqgAPQNKinsvC/HLHppcE/NLNuslvJZNTX2sYXk9FFSk0XBj1DP3YYfbLLP511yIrl7sZvfh1PdnlYmddt9pv5p6qqrslmpRez/cFK+M7zxWzizL26jHwCnmD2VjS7tcR+Z9e6Mn65yVf41qF/8yR066ZxGtWG+YWOaS4p+IdcJMutBwGDcnWz0DI6CbkFAQOOymKaptPG60aaeXI5xHjbpRe7rRds5LLNafN2d7YVGDprK8HFJw4ocEBL07cImn7FTwRoYusvcDWV7Xs6/G95GoZ/iOsEk9E4oxwlyD/gya4cJPPVAf/QzpJsFhez2xnlyG0bO9AYq+n1ZW32iyeY7Zpp42uvvV81oH/rVp9tPoJ+2c/FRm86wPWdbnUC/9At31JqR8CgFE00tINORG5BwICjMkxDpz1k0eVWbs4UKMBFV53G0GnruHFSZNd0AZG+UbBj867vFdx5++D92DQgXbL/ridnDlhcLzty9cRHkrk65yktt18I2SGgGBKJ78M/xBmR3XKvxvCS3GTUBwhxB7ynJFsTazzZJWM1jVLwD+2U23xD28VsXyvHFxezPZ3hOjZ28D4YTzAPmU1ji7Pfafxurb+B/q07zcV8hPWXMb9IJwj/kM6sNgkEDArXGJ2E3IKAAUdlMg2d9iSTLlKIM11gpacOcHd2F4Tb60Rn3c7Hmgu+OoLwvzpuuaVgv3KimIzKWeUo6X0E1YWxQw6i6XXAP8iYxXwDLmbLOMZKEWc8wRyjNL18+Ac9a/RvenYxSc82ddzQVO88v062iYkkHf5BQqn+MggYFK5DOhG5BQEDjkpzmu9YqERq5+InAbjzvZnvaA6xlt6dvWLNKXP/CpdRdpZtdNoWenFZ8I0zaioB/9tEZnrpsN801t5mU8cLTb+CyWgTmWF629jhtge3u8OOPgZPdg1xZd2Cf5DhJBvFxWwZK2spYp3z9WV4glmvEfgHPTsvif7Nk8i7Jq54nWxepqm1wT+kEquvPAIGheuMTkJuQcCAoyJLa+u0KTiA143IOKaUQmeSQiu9LPimM0uRAN8UWu1l4X/b+XSRC/vVU8VkVM8ulyTsNxdJvh7w5bm0pZJfwMXsNkL58vyYAU8w52OaUhP8Qwqt9LLgm86sScL7CrxOtolQ/nTYb36mJdaIgEGJWhlpE52I3IKAAUfFlganZ+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGK57dNRnEHfJyfpQTs10IvLgu+cUZcCe8TcDGbo5M/zfOWXBDEE8z5+MM/5GPJ1QS+HJV8aeCbjyVXE/hyVPqVhoBB4fqkk5BbEDDgqOjT4Oz07CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89uVBIXs0dpTG8b9tsta/AF324JdFs77Bd8uyUwH7UjYFC4nsnRcQsCBhwVWxo6FRu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38apBGwKBwLdFJyC0IGHBU9Glwdnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17GqSRMCgcG3RicgtCBhwVGxpcHo2fjFp8I0RsuWDr41fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+NUgjYBB4Vqik5BbEDDgqOjT4Oz07CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tnVJImAQeHaohORWxAw4KjY0uD0bPxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGrQRoBg8K1RCchtyBgwFHRp8HZ6dlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzq0kSAYPCtUUnIrcgYMBRsaXB6dn4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjV4M0AgaFa4lOQm5BwICjok+Ds9Ozk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZ1eTJAIGhWuLTkRuQcCAo2JLg9Oz8YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxq8GaQQMCtcSnYTcgoABR0WfBmenZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV8+uJkkEDArXFp2I3IKAAUfFlganZ+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjF5MG3xghWz742vjFpME3RsiWD742fjFp8I0RsuWDr41fDdIIGBSuJToJuQUBA46KPg3OTs9OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+eXU2SCBgUri06EbkFAQOOii0NTs/GLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bvxqkETAoXEt0EnILAgYcFX0anJ2enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPbuaJBEwKFxbdCJyCwIGHBVbGpyejV9MGnxjhGz54GvjF5MG3xghWz742vjFpME3RsiWD742fjFp8I0RsuWDr41fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn41SCNgULiW6CTkFgQMOCr6NDg7PTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2NUkiYFC4tuhE5BYEDDgqtjQ4PRu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38apBGwKBwLdFJyC0IGHBU9Glwdnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17GqSRMCgcG3RicgtCBhwVGxpcHo2fjFp8I0RsuWDr41fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+NUgjYBB4Vqik5BbEDDgqOjT4Oz07CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tnVJImAQeHaohORWxAw4KjY0uD0bPxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGrQRoBg8K1RCchtyBgwFHRp8HZ6dlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzq0kSAYPCtUUnIrcgYMBRsaXB6dn4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjV4M0AgaFa4lOQm5BwICjok+Ds9Ozk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZ1eTJAIGhWuLTkRuQcCAo2JLg9Oz8YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxq8GaQQMCtcSnYTcgoABR0WfBmenZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV8+uJkkEDArXFp2I3IKAAUfFlganZ+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjF5MG3xghef7Ozbe7bZde7HbeebvbsfmOhfXOO+9wS/Y/cKGSJfsf5JYesLi925q1bvmq1fLKUZIlAPtlsWRLBN9sKNmKwJfFki0RfLOhLLYiBAyKVc1iw+gk5BYEDDgq+jQ4Oz07iST4SijJymCyJOOUsxTsNyfNybrAd5JJzhTwzUcT/jcfS2lNsF8pKV058NVxk0qBr5RUc7mHrrrCbd90hdt6wcbmQg05FEigoAGCBw2AIsmw3wggRfboOOLL/+ci9+wnPWFX4AtBLwXKqAjsN4pIXGDUbhGsFWPrRUEEDApXIzk6bkHAgKMiT4PTk7PKVRKdtp6knyxtu+wzC4PKlJowWUqh1VwW9tvMJjUH/jeVmL087FfPEP5Xzy6XJOw3F0nn4H/zsZTWBPuVkhovR773wUs/47ZddvF4hnJvxUmnIHCgYAf7VUALRPw4AkGvAMwUdmG/esjebnH9Qc+wD5IIGBSuRXJy3IKAAUelPc07PXTW7Zy6yEVnraNKE/ut52/MMlnygYOVp613Sw44SNegOZWC/doVD/9rZ6itAfarIwf/q+OWWwr2ayfq/S8m/XaWqTXAflOJLZbfsuFNWca+4a/7sfAeG84Js7DPEID9MlASksj3IuiVACxzUdivDijGvzpufZVCwKBwzZKj4xYEDDgqfBo6a57LtFPRaacR33reRtXj17FfwWQpRojPh/3yXGKp8L8xQtPJh/2mcYb/TePVdWnYr44wJv06brmlYL9yojRmIP+7/eorGoXoSQH6VsGyI1e7pbteObT0wIPdjjtuWyi/Y9erXcju6TsHbXXQWHjv8y7EDTSNlIcZsN8hi5QtBL1SaHVXFvabxhbj3zRe81AaAYPCtUxOjlsQMOCoTKahs55kMosUdNZp1O877dTWiU6OydKyI1a7PTecjcmSQDWwXwEkpgj8LwNlBkmw3zTo8L9pvLouDfvVEcakX8cttxTsV06UggX3rzuVFaAx64o1p+z6WzuW38aXAgdUZ1PwgIIG9NRtWOfYD8z5ThvfOUfTePgpQa8T3/hm99/fv2FhLkb2SguCXo1okzNgv2nIMP5N4zUvpREwKFzT5Oi4BQEDjsowLaWzxh0qQ25dbqHTjtMlu6WLrPTxq3Bpmiz5chxfyWSJHsumD8JhaSfA8W2XmN9c+N/ydA/7jesE/jfOaFYlYL9p5DHpT+PVdWnYb5ww+V8uWEBj35Xr1reOUyV8t9G3EJinDhA0iOtGwjdey3yUaLJjOvqmeVwbX8k8DkGvdttq49suOT+5GP/Oj641R4qAgYbaFGXIyXELAgYclcU0dNbNbGaVg846Tr7JbiWTGQlfmizR9xDCYATVj6BBu34kfNtrmJ/cJjsmApgszcYOYL9x7k12C/8bZ9d1CdivnDDZcepNB218JRerMH5o108b33bJ+clt8r80Ztj7/AtbQaTwJXvmvgtGfh6vJ+Ixp/Dla5if1DY7bgp6pfBF0CvdllL4ptfeD4kmu8X4tx/6zXEUCBjkoNhhHeTouAUBA46KW3j0FHeo8GxmnYpOu10D96x5zsTFfMlkydcq4YvJkqeVvpbwTa+1XxJNg06y46bJkicg4YvJkqeVvpbwTa+1PxLwv2XrEvYb10+T/8WkP86u6xKw33bCnP/d48yzxa8KSuVLY4kt7zxjrFEIGozhGNtJ5TsmPCc7Tf5XMo9L4Yt5XLpBpfBNr71+Cc7/SuzWH7mEL+zW06pzjYBB4Xqjk5BbEDCYpILOepJJKSmSzqSUts6iHdzrA+g7BXTnnmRJ4UudNj2WvfWCjWNVpwwOxgTnYCeF7xzgYA8R/pfFUkQi7LddDfC/7XxmnQv7lWlAO+lP4YtJv0wXo6VS+I7Kzcs253/32vUxYumrMrV8uaBByrh7XvSj5TsvfPxxcv5XEvTS8uXsF0Evr43hWst3WEO/tzj/m+IHU/ji+kO9toSAQeG6oxORWxAwmKSi7ax9TSlOj2TQWXtysnUqX1mt9ZfiPgyb0ll7Aql8uQ8ian7X/37f16l8+84jPD7435BIWfuwX14f8L88l9JSYb/tGsGkv53PrHNhv7wGuBsNNONQLV9uHJwSrOCPqn+pWr79I8EfEed/U+xIy5e7DqE5f/ij6k+qlm9/CPBHgvEvzwWpkwQQMJhkUlQKOTluQcBgnAo663Eepe2hs+Y1QtH2e04+fixTc6e/hi93pyDuThlTxWBHw3cgPAcb8L9lKxn2y+sH/pfnUloq7LddI9ZJv5Yvd7EVF6smdaXlO1lT/1LCscO0xr+eJPUBD2w4w22/+gqftPCtpdh3EwaF52AD9tuuZGvQy8qX88MpwYr2o6s/18q3fgL8EWD8y3NBKk9gbgMG27dvd//wD//gvva1r7nrrrvOLVu2zO2///7uyCOPdKtWrXK///u/71asWMFTm2IqOTpuQcBgSMXaWfuatJ0KOmtPsH2t5dtea9254USfLtjve+lXVQel4UsDhvvWnTr27QRM+Hn8Gr58Tf1Khf+tQ5+w30k9wf9OMik1BfbLawaTfp5Laamw30mNcHdHay90WvhyYxhtOyaPsh8pFr79INB8FAh6NbMpJQf2O6kJjH8nmSClmUC1AQO64P/JT37SXXXVVe7aa691P/vZz9zhhx/unvrUp7qXvexl7tBDD2086k2bNrmXv/zlC4GCpkIUOPjMZz7jHv/4xzcVmUo64aJS8gAAGRhJREFUOTluQcBgSAWd9ZBFqVvorCc1w030Je+7nKzJOQvfcNJGQQv6doL0/bFce/qWZuHbNxbh8cD/hkTK24f9TuoE/neSSakpsN9mzeSY9Fv44qaDZt34HAtfX0cf16Htam9WycE3V1v6qKccfPvIhY4pnD9RWmqwKQdfBL2IPL/k4MvXXG8qxr/16m5WLa8yYPCjH/3IveQlL3GXX345y2233XZzr371q91ZZ53lHvGIR4yVufrqq91xxx3ntmzZMpbO7ey3337uU5/6lDvhhBO47KmkkaPjFgQMFqnk6Kw9X0ungs7aU2xeW/g211pvTjhBsTxdQBQsfMOLvtqJW73aiLfcwjdee50l4H/r0Rvsd1xX8L/jPErfg/1OagiT/kkmpabAfic183+PPHwscd9LvuKWHHDQWJp0x8o3PJes43Fpu2spZ+Vby3GmtjMcR2jnTjn45mpLKoMayufgW8NxStsY2orV31n44vqDVGuzLVddwOCmm25yRxxxhLvvvvui5J773Oe6z372s4Ogwe233+5Wr17tNm/eHJX1BQ444AB38803z+z1RHQScgsCBotUQqeHzpqzltmnWTqT2be+mxaEH4nVPl1ArbPyDS/8WgcP3RCbXa1WvrNrebe/DP/bLd9ctcN+J0nC/04yKTUF9strJvS/2n47B19M+nkdUWoOvs2115nD3WT1qE03qg4mF9/QhlPvFFc1vgKhXHwrONTkJuYIeuXii6AXr75cfPna60zF+LdOvc2y1dUFDP74j/944a5/KTT6FsHnPve5hQHbiSee6L70pS9NiC5fvtztvffejl5zdO+9907kn3vuue6Vr3zlRPo0EsjRcQsCBotUcnTWnq+1U0Fn7UnyaytfvtY6U0NboaPQTpY8AQtfrj2YLHmyi2sL3/Ga+rMH/1uPLmG/Q11x/g7+d8inxC3Y76RWMOmfZFJqCux3XDNhsGvlX653K9etHy+UsJeDb3jjjPYGtIRmV1M0B99qDlbYUAS9hKAKKAb7HSoB498hC2zJCVQVMPj2t7+98IRAeLF85cqVbt9993U7duxwP/3pTyeO/kMf+pA78MAD3cknnzyWR4GC97znPW79+vULTxBQvZ///Ofdn/7pn7qf//zng7KHHHKI++EPf+io/LQXcnLcEjLgyvQ9DZ11PRpGZz2uq/BD2daJSQ6+4d1V1jaNH3Hdezn41k1gsvXwv5NMSk2B/Y5rBv53nEfpe7DfSQ3lnPTn4Mu1BzcdLOotB99JC6g7JQwYzPIJW08SAQNPYnwN+x3n4fdCG9YGvXLyhQ177QzXOfkOa613C+PfenU3y5ZXFTB43ete5z7wgQ8MeC1ZssS9+c1vdhs2bBhczP/iF7+48P2CG28cPtpI3zGgsr/85S8HsnTx/z/+4z/cc57znEGa37jhhhsWPp780EMP+ST3ta99zR177LGD/WltkKPjFgQMnMvVWXu+OToVdNae5uQ6B9/JWutMCW3XMlnyBKx8YbueJL+28uVrrTc1tGHtZMkTyMEXNuxpTq5z8J2stc6U0Hbhf8vXI+x3XEeY9I/zKH0P9juuofDpGMv3C6jmHHzDmyCWHbHa7X3+heMNn9O9HHz7hi7nOCIXX4yBeSvLxZevva7UnHbrj9zKF3brSZa7ripgsGbNGnfZZZcNaL7+9a9373vf+wb7foNeK0SBgOuuu84nTazPOecc98Y3vnEi3Se8/OUvdx/5yEf8rvvEJz7hTj311MH+tDboJOQWBAwmAwaWSb/V2Xkdwel5EuPrXHzHa613L7yb33onXg6+mCw121MOvs2115mTc9CZiy/8L29LufjytdeXCv9bl85gv5P6gv+dZFJqCux3UjM5Awa5+IZPyWi/CTJ5tHWn5OJbN4XJ1uey4Zx8MY+b1FNOvpO115eC8W99OiuhxVUFDJ7ylKe473//+wvcVqxY4egjxvvttx/L8a677lr4OPKdd945kX/MMccsPDFATqRp+cpXvuJOOOGEQTa9uuitb33rYH9aG01tRMDAuVydtddljk4FnbWnObnOwXey1jpTctsuUbDyxWSp3ZasfNtrry83tw3n4Av/22xHOfg2115XTm7bpaO38oX/bbchK9/22uvLxaS/Lp3Bfsf1FX7/aJbfkBltWe52jdZd8zbsd1J7OccRufhiHDGpJ0rJxZevva7UnHbrj9zKF3brSZa7riZgsHPnTrf77ru7bdu2LdD8rd/6Lffd7363lew///M/uxe/+MUTZb7xjW+4Zz3rWRPpowm33HKLO+ywwwZJp512mjvvvPMG+9PaoJOwaaGggT9J53H9i5OOczvvvGOAhx5pXXrgwW6WXA5Zsdxd87RDBm267cHt7n9955a51tMs9VHqeRFOSh591U0ztVvitOOO29w9Jx8/sF26u+qRl/33zNsF+ynTz8P/lqkXnC9xvcD//hr8euXjZ/jf+Hle6vgP7fo1V6L9kl5+vuoJgzEwbVAgA/pCf8GNq0ocR1A7S20XzqMyzqOu7GPMcSbuIGCQCGwGxasJGND3B/bYY48BohNPPNHR9wrallCGyh5//PHuv/7rv9rEFvK2bt26EKDwBZ///OePvQ7Jp3e9JgfLLVznNW/OuCunZ+VYarusxwX5fJ19qZOSUtsFf1fexZFS/Vyp7YL/zOc/rf6gVD9XarusvCGf33+X6Odw00F+Pfe137j0yQe5Y/Z6xGB6e/INm93X7/vlTC/OP7jpcnf/uuGrh+kbBvtccBGCq5UHV7vqfxD0gr+r0T93Oc4cOHTFRjimsT51pmgCRFoIVBMwoGN4zGMe4372s58tHM6qVavcpk2bWg7NuTPPPNO9613vGitz+OGHu//5n/8ZfCR5LHNk58c//rE75JDhneJr1651n/70p0dKTGeTnBG3UAc470vOx6q808/BFE5vkmJOvpO115eS03bp6HPwRYS/2Y5y8G2uvc6cnDacky/876Q95eQ7WXt9KTltl44+B1/432Y7ysG3ufY6c3L6uZx8c7arTs1Mtjon38na60zJ+UqtXHzxSkPelnLx5WuvNzWXDefkCxuetKecfCdrry8F49/6dFZCi6sKGNBrhL71rW8tcNtnn33cT37yE0ffMuCWG264wT3jGc9w9KRAuHzgAx9w69evD5PH9um1Rccee+wg7XWve537u7/7u8H+tDbI0XELAgbO5eqsPd8cnQo6a09zcp2D72Stdabktl2iYOUL2223JSvf9trry81twzn4woab7SgH3+ba68rJbbt09Fa+sN12G7Lyba+9vlxM+uvSGex3XF/hR7tXnHSK22PDOeOFEvZy8A3btPIv17uV69qvFSQ0seqiOfhWDYBpfM5xRC6+GEcwitqVlIsvX3tdqTnt1h+5lS/s1pMsd11VwOClL32p+6d/+qcBzfe///3ur/7qrwb7fuO+++5zq1evHnwg2af79b777uuuvPJK98QnPtEnTaxPP/10R/X7pem3fH5XazoJuQUBg7wBA6uz8zqC0/Mkxte5+I7XWu9eODHZ48yz3Yo1a9UHlIPv1vM2uq0XbBy0wTqBG1TUg40cfHuAYewQcg46c/GF/x1T0WAnF99BhZVvwP/WpUDY76S+4H8nmZSaAvud1My2Sz/jtrzzjEEGfTNr30u/OthP2cjFNwzCWcflKcdQctlcfEs+Rk3bwnGEds6Uk2/YJgS9ECwIbTu0Eaufy2G/uP4Qaqm8/aoCBmeddZZ729veNqC41157uY985CPuRS960SCNXjf0Z3/2Z9HXFf3Gb/yGu+KKK9zee+89kPUbd99998IHj7ds2eKTFl5HRK8lmvZCJyK3IGDgXOj0tJ2155vD6YVtQmft6aLTHpJwLpwsWW2X6rbaL2x3VEOT21a+kzXWnRLai9WGc/AN2wT/O7SxHHyHtdW9Bf9bn/5gv+M6C30dJv3jfErbg/2OayR8BRvl7nXehW75qtXjBYV7Vr5ce/AO7SF8K99hTf3ZCscRCHqVq1vY71A3od1a525Us5VvOJ7B3G2or1K2qgoY3HXXXQtPBTzwwANj/OjVQ09+8pMd5dMrix588MGx/Ec/+tHu8ssvd0cffbT7+c9/PsijoMFHP/rRhXSf+L3vfc+dcsopY08nLFmyxN14440LQQRfblprOgm5BQGDyYuu6Kw5SykjzdqZlHEU+VoRTk4stkutysE3fPfwvpd8xS054KB8B11xTTn4Vnz4bNPDQafFhnPxxR2CrKqy+Ae+5jpT4X/r0lsu/1DXUbe3NvS/lkl/Lr6Y9PM6y8WXr73e1PApGa0N5+Cbqy31aqO55Tn4Ntdeb044jqAj0QS9cvHl2oOgV575cb1WOtny0E4sczeqPYf94vrDpJ5KS6kqYEDw6CPG9DHjlIVeY/Qnf/In7kMf+pB71ateNSZKwYCnP/3p7glPeIK79dZb3Xe+852JgMMf/uEfun/5l38Zk5vWDp2I3IKAgXOh0yNOms7a87U6Pa496Kw93TydyrC2+rfCCYrFdomGxX7Diw/WAUT92pk8AgvfydrqT+H8ncWGrXy59sD/Du3MyndYUz+24H/r0iPsd1xfob+z9tk5+GLSP66j0b0cfEfr68N2OO6kY9KOISx8w1cZWtrRB71wx2Dhy9XXl7RwHIGgV5mahf2O6yW0W63f9bVa+Ib9gHUs49uEdV4C1QUM6DVBdIH/5ptvFpF4z3ve49761rculN2xY4d7wQte4D73uc+JZH0h+t7BM5/5TL871TWdhNyCgMEildDpobPmrGX2aZbOZPat76YFOTtJK9/wPMLjgOM6t/Idr60/e6HdwP+WqVvY76Re4H8nmZSaAvvlNRP6X+2kPwffnOcTf7T1pubgW+/Rt7c8tOFlR6x2e59/YbtQkGvlm6MNQZN6tWvl2ysYwcGEfo+yU/1wDr4IegWKGdnNwXekul5shnZruUhv5Rv6X1x/KNPEqgsYEMZ77rnHrVu3zn3qU59qpLr77ru7d77zne4Nb3jDWBkKOBx33HHu6quvHktv2qHvIXzsYx9ryu48nU5EbkHAYJFK6PQoNbWz9nwtTg+dtafYvLbwba613pzwDkE6Est7iLV8c55D9Woj3nIt33jN9ZbIaTsWvvC/cRuy8I3XXl8J+N+6dAb7ndRX6H8x6Z9kVEoK7JfXBNd3ay4YafmGF6uoldo5JH+E/UjV8u3H0bcfRWhDCHq185pFLux3nDrGv+M8sBcnUGXAwB8WvSbo3//9390111zj6GPHy5cvd095ylPc6tWr3Vve8hZ30EH8+7d/+tOfule84hXuX//1X31VE2tyLhs2bHDveMc7JvKmmUDt4BYEDIZU0FkPWZS6hc6a10z4zl/thN/CN3zvu/Yucf4I+5Fq4dsPAs1HAf/bzKaUHNgvrwn4X55LaamwX14juSb9Vr5h4IJai4uuQ51Z+Q5r6udW6IfpKFOCBlq+XLAC499JG9PynaypnymcHU3Dfj3NcAxO6fC/no7tdb3DWvq3FfpdXH/on45zHlHVAYNREDt37lx4hzd1bNKFgg0f/vCH3fXXX+9uueUWt2zZsoXXHR111FHuhS98oXve854nraqzck3Hg4DBELm1s/Y1aQdF6Kw9wfa1lm97rXXnchN+zd0pREHDl7NdfOyYtykNX76mfqXC/9ahT9jvpJ7gfyeZlJoC++U1g0k/z6W0VNhvs0bID9+37lS38847BoXo4tWKk9a6levWD9LaNlL5cuMW7QWztnb1JS+Vb1+OW3ocoR8muWkEDTg7RtBrUmuw30kmGP9OMkFKM4HeBAyaD1GWQ68qooDBihUrZAJTKkVOjlsQMBings56nEdpe+ismzWy9byNbusFG8cKpAw0SVDD13rOjDW45zsavj1HMnZ4VlvS8sVkaUwNjTtavo0V9igD/rd8ZcJ+m3WUY9Jv4YubDpp143MsfH0dfV9zdkzHLLn4mcqXs1n6LdyVTRQml1S+kzX0P8US9NLy5ca/CHpN2pqW72RN/UvB+Ld/Ou3qiBAw6IpspnrJ0XELAgbjVCydta8ptVNBZ+3JydapfGW11l+KbHfr+RvdtssuHjuYLoMG3AVe7ZMNY43u8Q7st1m58L/NbErJgf3ymoD/5bmUlgr7bdYIJv3NbErJgf3GNcHNqUiKLoLuseEct3zV6sZKJHypfhr7jj7J4CtEsMCT4NcSvrzk/KTSWOKek4+fOGAEvSaQTD0B9ssjx/iX54LUSQIIGEwyKSqFnBy3IGAwSQWd9SSTUlLQWbdrgmw3fCSbJKQX8VP4cndX4a6Udv2k8G2vqb+58L/l6hb2264b+N92PrPOhf22a4Ds13LTgYYvbjpo18lorobvqPw8bTcFDYgBjYfpFUVh4CDGl+qkoNr2q69gUSJYwGIZJMb4DgpiwzXZb1vQK4Uvgl7pRpbCN732+iUw/q1fh9M4AgQMpkHZ8Bvk6LgFAQOOilN11r4mSaeCztrTSl9L+KbX2h+JpguuNNBcedp6t2LN2taDjfGlDxPSRQXcXdWKsTEzxrdRcI4yNJMlj0fCF/7X00pfS/im19ofCfjfsnUJ+23XDyb97XxmnQv7lWugyZZ9DTQmpqDBbg+PiZfu2l964MGO5sUku2PXtxBovX1XoCB8ctfXQWsKQOy54Wy35ICDRpOxzRCA/TJQGpKaxsFUHEGvBmgdJ8N+2wGTv+SejsH1h3Zu85SLgEHh2iYnxy0IGHBUFtPQWTezmVUOOmsZ+baJkvYOlbZAQVudshbPRynYr1zP8L9yVtMqCfuVkYb/lXGadinYr4y4dtIv5ds2lsBd2s06kvJtrmH+csiWuadmcpGQvCYm12/VXg/sN12DbWMJqm006HXCCSe4//7+DYPAFcki6JXOvEkC9ttEZjy9zWbbrhW08W0bM7TVOd4y7JVAAAGDErTQ0gY6EbkFAQOOyjCtzfFRqdHOmvZxhwpR6HZp61S6/eW6aifbbZsoedtdtusOK7ozimyX1sR3xx23JQ009z7/wrrgzLC1sF85fPhfOatplYT9ykjD/8o4TbsU7FdGvM33tk3Q2/hi0i9j31aqjW+b3LznkT0/sOGMxtcJpfLBUwWpxBbLw37TucXGEuk1jksg6DXOo20P9ttGZ5gXs1lcfxiymrctBAwK1zg5OW5BwICjMp4Wc3zjpdP30FnLmaGzlrOikmS72y692G29YGOaoLA0bFcI6uFisN80XlQa/jedWVcSsN80svC/aby6Lg37TSMc873hpP/wZx3rbt320MKPkGzK3a246SCuG9hvnFGsBNklBQ5oafoWQVMd3t7p1Z54/VATpeZ02G8zG0mOt91Uu22qG0GvJjJ8OuyX59KUSvaK6w9NdOY3HQGDwnVPjo5bEDDgqPBp6Kx5LtNORaedTpxst+1pg9QaKVCASVMqtcXysF8dN/hfHbfcUrDfdKLwv+nMupKA/aaRJdvFpD+NWZelYb/56JJt06sP6RsFOzbv+l7BnbcPvs1FwYEl++968vaAxfWyI1dPfCQ5X0vmpybYr13XfixMNaUGDxD0svGH/abzw/g3nVmfJRAwKFy75OS4BQEDjkp7Gjrrdj5d5qKzttH1EyS6AICBpo2lRhr2q6E2LgP/O85jmnuwXxtt+F8bP6s07FdPkGwXNx3o+eWQhP3moNhcB/g2s8mRA745KI7X4ccUFPT68v+5yD37SU9A0GscUbY92K8NpbdVXH+wcaxdGgGDwjVIjo5bEDDgqMjTvAPEHSpyZtaS6LStBBflU2x3xZpT8Ah2HuwL34iA380DM8WGcYdgHubwv3k4ptgu/G8e5lQL7NfG0tstJv02jlpp2K+WnEwOfGWctKXAV0tOJge+Mk7aUuCrJTcu58cRkmtnGP+Os6t9DwGDwjVITo5bcOGKo6JPQ2eiZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhJC8TTvp/dPk33MG7LVuoIHylCyb9cq5NJWG/TWTypINvHo5NtYBvE5k86eCbh2NTLeDbRCZPOvjm4Vh6LQgYFK4hOhG5BQEDjootDU7Pxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG78apBEwKFxLdBJyCwIGHBV9Gpydnp1EEnwllPRlwFfPTiIJvhJK+jLgq2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ewkkuAroaQvA756dhJJ8JVQ0pcBXz27miQRMChcW3QicgsCBhwVWxqcno1fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+NUgjYFC4lugk5BYEDDgq+jQ4Oz07iST4Sijpy4Cvnp1EEnwllPRlwFfPTiIJvhJK+jLgq2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ewkkuAroaQvA756djVJ/n8AAAD//8mCYakAAEAASURBVOy9C9AmRXX/3+4uuy4gIGKIy3JZTfhhFI1AahXRQCxTpmRJBO8YjbFwFc2aqtRPUjHKekuElImuMcilrKCCSSxI6W5CGUtKDBBIIYqI9wtkWUDzV3ER1oXd/f3f8772c+nnzPTpc3qep6ef71S978x09+np+fSZM6f7zMzzqP+3sDgsxRJ41KMexbYN3cZiMSUSa3A1IWwVBt9WPOZM8DUjbK0AfFvxmDPB14ywtQLwbcVjzgRfM8LWCsC3FY85E3zNCFsrAN9WPOZM8DUjbK0AfFvxmDPB14ywtQLwbcVjzgRfM8LiK3gUAgZl9xFdhNyCiW2Oij4Nxk7PTiIJvhJK+jLgq2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ewkkuAroaQvA756dhJJ8JVQ0pcBXz07iST4Sijpy4Cvnl2fJBEwKLy36ELkFgQMOCq2NBg9G7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfz6II2AQeG9RBchtyBgwFHRp8HY6dlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWz65MkAgaF9xZdiNyCgAFHxZYGo2fjF5MG3xghWz742vjFpME3RsiWD742fjFp8I0RsuWDr41fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NXx+kETAovJfoIuQWBAw4Kvo0GDs9O4kk+Eoo6cuAr56dRBJ8JZT0ZcBXz04iCb4SSvoy4KtnJ5EEXwklfRnw1bOTSIKvhJK+DPjq2UkkwVdCSV8GfPXsJJLgK6GkLwO+enZ9kkTAoPDeoguRWxAw4KjY0mD0bPxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfHrgzQCBoX3El2E3IKAAUdFnwZjp2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ewkkuAroaQvA756dhJJ8JVQ0pcBXz07iST4Sijpy4Cvnp1EEnwllPRlwFfPrk+SCBgU3lt0IXILAgYcFVsajJ6NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjF5MG3xghWz742vjFpME3RsiWD742fn2QRsCg8F6ii5BbEDDgqOjTYOz07CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tn1SRIBg8J7iy5EbkHAgKNiS4PRs/GLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bv5g0+MYI2fLB18avD9IIGBTeS3QRcgsCBhwVfRqMnZ6dRBJ8JZT0ZcBXz04iCb4SSvoy4KtnJ5EEXwklfRnw1bOTSIKvhJK+DPjq2UkkwVdCSV8GfPXsJJLgK6GkLwO+enYSSfCVUNKXAV89uz5JImBQeG/RhcgtCBhwVGxpMHo2fjFp8I0RsuWDr41fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+PVBGgGDwnuJLkJuQcCAo6JPg7HTs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ewkkuAroaQvA756dhJJ8JVQ0pcBXz07iST4Sijpy4Cvnp1EEnwllPRlwFfPTiIJvhJK+jLgq2fXJ0kEDArvLboQuQUBA46KLQ1Gz8YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/PkgjYFB4L9FFyC0IGHBU9Gkwdnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17PokiYBB4b1FFyK3IGDAUbGlwejZ+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjF5MG3xghWz742vjFpME3RsiWD742fjFp8I0RsuWDr41fTBp8Y4Rs+eBr49cHaQQMCu8lugi5BQEDjoo+DcZOz04iCb4SSvoy4KtnJ5EEXwklfRnw1bOTSIKvhJK+DPjq2UkkwVdCSV8GfPXsJJLgK6GkLwO+enYSSfCVUNKXAV89O4kk+Eoo6cuAr55dnyQRMCi8t+hC5BYEDDgqtjQYPRu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38+iCNgEHhvUQXIbcgYMBR0afB2OnZSSTBV0JJXwZ89ewkkuAroaQvA756dhJJ8JVQ0pcBXz07iST4Sijpy4Cvnp1EEnwllPRlwFfPTiIJvhJK+jLgq2cnkQRfCSV9GfDVs+uTJAIGhfcWXYjcgoABR8WWBqNn4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV8fpBEwKLyX6CLkFgQMOCr6NBg7PTuJJPhKKOnLgK+enUQSfCWUZGX23XO32731arfv3rvd3nt2LK733bvDLXvCEYsVLHvCWrd8zdL2yg1nuf1OXC+rGKUWCYDv9BUB9qFb5uALvt0S6LZ26C/4dkug29qhv+DbLYFua4f+gm+3BOajdgQMCu9nMnTcgoABR8WWhpuKjV9MGnxjhGz54GvjNyqNSddRGvbtR750s9tzy81u97arFgIEO5IqpEACBQ0QPGjGBr7NbKaVA/vbLWnwBd9uCXRbO/TXzrfNL7vrrrvcumc+Gw8b2DGzNUB/WSzZEsE3G0q2IvBlsSQlwv4m4aquMAIGhXcpGTluQcCAoyJLazN6VAOecJVxbCoFvk1k8qaPcr72k1e65xz7pMXJWDyprePsJ113XboluQJMavPISEd3XbJlIVBwNV8gIdUzXv36TW7ZmrUJkvUWBd8y+haD0W77AXzBt1sC+Wof9cvwBp2dK/wyO0NNDaN6jPGFhiAvM8oV9oFnlDsV/oOeqLe/eNhLz7AWSQQMCu9JBAzydBCMXh6OTbWAbxOZvOmeMya183Elpg9vvSrLpDa1atXpZ+Jp+AUOuy7e4jR6GutZHzg4YPOFsaJV54NvWd2LQWm3/QG+dr5tk1V4QlvP1/tlmFTRMwwl4ZeFRLrf93qs8du8X4Y3QSf7yXOFfZhkM60U+A9ppMlXwMNeacxqL42AQeE9jICBrYNg9Gz8YtLgGyOUJx+Dpzwcw1oe3PzWbIGC0br94GleJ7V3vv5st+fWm0eRjG1TUIXe5Fpx0nq3fOGTQ8uPONLt3bF9sczehU8W+YmttjpWnLDeHbj5grl82wB8x9Rp5jsYjObrAn/t4zdO8jDFZFUejlwt8H85KvY0+GV2hik1YHyRQkteFvZBzqrLkvDP0ujiYaQ0XvNSGgGDwnsaAQN9B8Ho6dlJJMFXQsleBoMnO8OwBhogkf62TUjnmNSmwMFBF18xN5PaxJX0lfudAprgX7XhzIW/s8LuWNznnHoacFGd9CPJXF8RXwrKzMsPI4MvqzpFJHL6W0TDetAI0mv8xknejsJkVV6eYW3wf0Mi9n2yA6l+GX2ekHR93bp17rs3Xi962GDe/LK2nsH4oo2OPg/2Qc+uC0n4ZzKqqQ8jaezvPD/sJeuFMkshYFBmvwxahYDBAEXSRqrRwxOuSXgd+Kbx0pROGTw9///+ufviN7+9ODFNgydapE9qz9vgibg+sPFstkuaJrXbnE3JpDZ9d79popxtSA8Tm7iSfsXOv42vR7F74bNR9IpsGIyYl6AB+HpNKG8t0d/yWj37FmFSu5s+wGRVN1x9rfB/PYl866b7Gx2hyS/zR+fsL/wyT4dfE29pcAbjC55hUyrsQxOZ2aRz9mE2LSn3qGQP8LBXuf1TQssQMCihF1raQIaOW/CjxxwVt/g0KowezyZHKm4qOSjG69AMntqcIgyelpg3caUB6eqNm1qfVG/j63uUJrW5p+Elk+a+jr6u79/w2xOT+cT1oEuuEJ2ShG/TBOM8BL3AV6RGMysk0d+ZNa7AA2NSu5tOSZ2swhOC8n6A/ytnlVLS4pf547TZ33n2yzyf0XUTbyrTFJxp44vxxRJd2IdRLStru01/y2rp9FvTZA9Sxq1tfOf9Ya/p92g3R0TAoBuu2Wqli5BbEDCYpGIxem3Gzh9p3o0e+HpN6HbdxLltUluiv77V8zp4auMam9RO4TuPk9rcJBV90kn6Gw6pfCkoE/4wX0pwwl8LfVmDb9k9laK/ZZ/JdFrH6fPokXN8Do7swTz9xgnd3/CwzKgW5d1u8h8kkyoS+zCv44smrin3cwnfefTLuCugjXfTQzMSvv5YGF94Ektr2IdxHrPYS9HfWbRv1sfEw0iz7oF+HB8Bg8L7iQwdtyBgMEkFRm+SSc4U8M1Jk6+rzZnHpDbPTJrK6e8B518g/lRQqtNJA6cH33neWPNqfBKe+wZuSrDAA0rlyz2hrDmuP36pa/AttWfG25Wqv+PS87FH9zdMaufv6ya/QTJZ5VvTpr/zOpnt2dCa8x8wqT1KSLfNcU3xy/xR2/TXl6H1vPhlo+fst5vshESPpXzpWPMYnOH0WMLV942E7zxy9Xysawlf6zH6KM89vKEZR0n4kv7O28NefdSJpjYjYNBEppB0ugi5BQGDcSpWoycxdv6I82j0wNf3frdrzumUDJ5S9Hf0DOZl8MTp72MWfoxY+mO5OflqnLHRPitpm2zh/WecOtaklEGSF9Tw5QZPtQVkwNdrSNlrjf6WfUb5W9c0WSWZ1JbwnedJbc5vSLHDEr6cvSUtqc3mcprP+Q8p93EJX39c4jwvkyoc1xS/zDNL4UsynN+b0p/+uH1bc3YC4wt7L3J6nKJPKfo7T/bB3jNLNaTwzXXMPtSDh5H60EvltBEBg3L6gm0JGTpuQcBgSAVGb8iiiy3w7YLqZJ2c05kyeNI6RbUPnriJqhRn3veUli/3JHxKv/rjl7gObQNNHh2y9TpVUzV8afC0c+EHrEd/CFnTt6oGT0EIfKcAOdMhNPqb6dC9qIabrMKktr3rOL9BYwMl+juPk1WhDaYe64rvqDZwfoPmuKN1lrSdyy/z5yTRX1+W1hzfWvyy0fP025ydSDnfVL7+uLWPL2AffE+Xvdbqb9lnpW8d3ctzPOzlW5DCl46965Itbve2q734XDx4MDjZnm70KmBwxx13uA996ENuxYoVbvfu3e4Zz3iGe+lLX+oOO+ywnuKPN5suQm5BwGCJSi6jl2LsfH/Mg9EDX9/b3a6tgyeN/o6eUc2Dp3CglDJJ5RlZ+NI19PPN57k9t97sq1v8YbnYJ6YGhQvd4GyD5Gk17nQsfMMBKQUt6LcTpG+PcO0pIQ18S+gFWRss+is7Qr9LhTaYziZl8jOFL1038/KENiarur0uOBs8Lf+Bjl3zpEpoEzRcfe+n2AcvQ3xr9Mv8+Y2uMb4YpZFvG/YhH8sua9LYhy7bU0Ldoe+Ah71K6JWy29CrgMG5557rLrroojGij370o90rX/lK95a3vMU97WlPG8urYYcMHbcgYLBEBUaP0458aeCbj2VbTTkGTxanqNbBUziZTH2Q8lTVaJ9Z+HIDNm07Rts0y+2ctoHOw8I3vH5SJiNnybDt2ODbRqe8PIv+lnc2+VoU6jHVrLk+U/lyQXDNcfORyFtTrskq36oUvnTsmiezPZNQdzGp4snY1jn9Mt+SFP31MjX6Zf7cRtehf6QJzmj4+jbUOr6AffA9XP7aor/ln11aCznfQfuwlz+yhm94H6jlYS/PpLZ1rwIG55xzjrvssssa++C0005bDBxs2LDBLVu2rLFcnzLoIuQWBAyWflgpfKVKa/Q0xs73S61GL+dNBXy9tkyuQ/2hEqmTyRa+vkU1Dp5Ch147YZSDb662+P6a9Tr8xIjW9tJ5WPmG15BlYmfWXP3xwdeTKH9t1d/yz1DXQs6HmNZkFR275knt8H5isXka/SW+NX8OjtNd7T1Ow9dfcdy9re9v0IW6q/XLPCML39xt8W0qZR3qD7UL4wt778A+2BlOqwaLfZhWG6d5nNDmWXwHareFbxjMtN4Lpslx3o5VVcDAd966devcn/zJn7g//uM/dgcffLBP7uWaLkRuQcDAORg9TjPypYFvPpZtNYWctTdMy03bty9XW3x9s17/5KRfG2vCIZ/5glu2Zu1YmnTHyjccYFidNGm7uygXngsd49Bbvms6lIUv157UQbGp8ZmFufMB38yQM1dn0d/MTSmmuvB+YrF5Gr50HdU4qc3ZB+1ktlcWDd9wMpL6t++T2Z5HTt2lOjV8fVtqm1TJ6Zd5Rlq+4bVksVG+LSWtQz3G+CJP74RcrXqj1V86m9rsQ54eGq/Fwne8pv7v5XwYydPQ8uV8CO3v4Pm2YN0NgSoDBh7VgQce6P7oj/7Ibdq0yf36r/+6T+7Vmi5CbkHAwLmcRk9r7Hzf1Gj0wNf3brfrHIMnq/76M6xp8MS9MaGddM3FN3Ts+zqpHX7uQzsI9XqXg2/I1tom37ZZrMF3FtT1x8yhv/qjlykZ3kuoldpJbQtfzjfr+6Q2Jqu613n4v90wzumX+RZa7APVEfoOffXLPI/RNcYXozTybcM+5GPZdU1W+9B1+6ZZP+eXacfFvt0Wvlx7arK/nlEN614HDA455BBHv2Fw3333tfYFKfPv/d7vLX6u6PnPf/7ikx6tAgVlUtu5Zd4DBpyRgdHjNEWXBr46bqlSOQdPlpv2aLtrGTyFkyqrz9nkVm/cNHqqSds5+IaTV32d1A7ZaicCRzvAyrcWtsQEfEc1ox/bVv3tx1nKWxnqMJ7AlLOLlcw5WeWPpdXf0O5a+9m3Z5Zr+L/d0Q/tgtUv8y3V6i/JhzrcV7/Ms/BrjC88ibxr2Ie8PKdRm8U+TKN90zpG7oeRfLstfMM5h1rsr2dTy7rXAYN3vetd7q1vfau78sor3d/93d+522+/PdovT37ykxffOHj1q1/t9t9//2j5WRegi5Bb5j1gkNvoWYyd75+ajB74+l7tdp1r8JRDf/2Z1jJ4CtlaJrVz8a2FbWjrrE+E5OAbDo4130r318Cs1+A76x5IO34O/U07Yvmlc05qW/mGdrfPk9qYrOpe9+H/dsc4p1/mW5nbPtQyYRWy1gZnrHx9P9E6tMV9ZA37MNqj5W/n1N/yz7a9haFNsIyL/ZGsfGuwCZ5FzeveBwze/va3D/rnc5/7nHv/+9/vPvvZzw7SmjYe+9jHOvoR5Te96U3uqKOOaio283S6ELll3gMGMHqcVuRLA998LNtqysnZetP27azl5h1OWFl+v4DY5OBby6R2brY5+IYTaX2eFARfb436s85hH/pztu0tDa9FKo03QNuZSXNzT1b541r0Nwxw9nES0HOgdU6/zNdr4Ut1wC/zJPm1hW8tfllIJqceW/iOtqsGPc7J1bOx8q2Bq2fRxdrKt4s2zaLO8F5tfdjLn4OFb63217OpZV1VwMB3yh133LH4xsEnPvEJt3v3bp/MrpcvX+5e9KIXLX6u6JRTTmHLzDKRLkJumfeAQW6jZzF2vn9qMnrg63u123WuicEc+uvPtBY9zsWWuOTiG06k9XVSO/wu7iwnA73e1sKWzgd8fa/2Y53LPvTjbOOtzD2pnYNv6NP0dVIbk1Vx/bOWCHXFOqmSQ3/hlzX3qpVvTb7DKKVcPrCV72ibatBj2IfRHi1/O6f+ln+27S3MZRNGj2LlW6v9HWVUw3aVAQPfMT/60Y/chz/8YXfRRRe5//3f//XJjesTTjhhMXDw8pe/3K1cubKx3DQz6ELklnkPGMDocVqRLw1887FsqyknZ+tN27ezlpt3iZOuxDh3u3y/TXPdxTnk0N8u2jVNrv5YXZwH+Hq63axz8O2mZdOvFZPa3THPPVnlW2rR3xomAT0HWuf0y3y9Fr5UB/wyT5JfW/l2cc/lWzq91Jx6bOXrz7oGPc7J1XOx8q2Bq2fRxdrKt4s2zaLOruychS90dxaakH7MqgMGHscvfvEL9/GPf3zxrYNvfOMbPrlxffjhh7s3vOEN7o1vfKOj7VkudBE2LRQ08BfpvK1Do/e4L33PzZrH3h3b3f1nnDroLnp6+LHbvjjzdmm4gO+jptJvJXImfSm1XSl27qenP9ftu3fH4HqkTxItP+LIqfRrWzt/fOKTBm2iDXo6v6285vrtur7bnnaMO3LlisF5POP2u9xdux+Z6XnUZH/Bdzr2t+vrZF7r3/p/1rpnP+bRA/twxrfvcdfvfGim9uHhW25yD2w8e9Am+o2Tgy+9cub3g1T7XuJ97ehV+7kvH3/0gO32h/e4p3/1zpn2dyrX0fIl+j+13N9K1F+y0zX4ZeH9pkQ9puus1HaF/Jr2S2x/LfZh1A438Ue63j/u0s4NHADFRnhNWd9aVzQBIhECcxEw8AzIEF1zzTXub//2b93nP/95n9y4prcMXvayl7k/+7M/c09/+tMby3WZQYaRW+bdqHZp9Cw3o1LblaovpZ5Hqe1K5evLY/DUXdATk1Z6p9LrZ9P6Z+e80u259ebBrYk+2bDypGfOdPLtlIP2d585ds2gTTc88Au34Vt393LSCny7swuW+3vT9YD08f4q8b5Wy6R2OLDGwzL573Ol+pmltivF/sEvy6+vTfxLtMN0/+27Hpfa/lLb1aSfSB/3m6bBo+uHkQYDsIQNvGGQAGuGRecqYDDK+bbbblt84+CTn/yke/jhh0ezJraXLVvmvvzlL7unPe1pE3ldJ7QFDLo+dsn1534l0E8iWM65JqMHvhZNkMvm+rxADv31ra7l8wK52BKXXHxrYZv7kyM5+Ob+brq/HmaxBt9ZUNcfM4f+6o9enmQ4qW19WiwH31r8s9xsSXty8O2iXbPSbPi/3ZHP6Zf5Vlr1txa/zPPw61ysrXx9e2hdA2vYh9EeLX87p/6Wf7btLcxlE0aPYuVbg00Y5VHr9twGDHyH3nvvve7v//7v3Uc+8hH3k5/8xCdPrC+77DL3ute9biK96wS6ELmFIpHzvMDoddv74NstX197Ts7Wm7ZvUy0373DS1fojlzn4hm1afc4mt3rjJo++N+vdW69yD77zvEF7rWypIivfWtgSC/AlCv1arPrbr7Ntb20Xk8c5+HbRrnYS+XNzT1b5Flr41hKM8Sxy+mW+TgtfqgN+mSfJry18a/IdRunk1GML39E21aDHObl6Nla+NXD1LLpYW/l20aZZ1BnaugPOv8Ct2nCWuSkWvjU97GUGWXAFcx8w8H3z0EMPucsvv3zxrYPvfOc7Pnmwph9PPvfccwf709qgi5Bb5j1gkNvoWYyd75+ajB74+l7tdh1y1k685tBff6Zhm2qZ1KbfFDlk63X+NJPWufiGkz25nLWkk8lQOPcEUQ6+4WQg/WbFsjVrM5zt9KsA3+kztxwxh/5ajl+abGjnrNdiDr65r6lZMcdkVffkQx/Iep/Oob+1jC/CYLjFL/OaYOUb2itrf/t2zXod6jHGF3l6JORq1Rer/tJZ1WIf8vTQeC05+I7X2N+90P5qbcIoASvf8Hrq65zDKJMatxEwCHp13759btu2bYu/c3DddcPJpY9+9KPuta99bVC6+126ELll3gMGMHqcVuRLA998LNtqCjlbBk/Wm7ZvZy2Dp3CCiM6PvrW/34nr/akmra18ufZYP9WRdAKZC+eeuLLwzXkdZcakrg581ehmImjR35k0uMOD5tZdaqqVby1PYIaDa+tklVcDC9/aJqvC+wkmVbyW2NecH2Txy3yLtPrLtafPfpnnQetQjzG+GKWj3w65wj7oWU5LUmsfptW+aR0ntHcWmzDaZgvfmh72GmVS2zYCBi09+qUvfcl94AMfcDfccIP79Kc/7Y4//viW0t1k0UXILfMeMMht9CzGzvdPTUYPfH2vdrsOOdPRNIOnHPpLx+ba0+fBUzhxpXXsc/DN1RbqpxKWcNBkcTytfEO2NTyhAr4laLmsDVb9lR2lP6VyT2rn4FvLpHZoF7T3tFFtsvIN+7vv9jf0gyz3NuJs5Ut11DS+CO/XVh228M3dFuqrUpZQj6ldGF/YeyfkCvtgZ9plDRb70GW7ZlV3aPM0NmG07Ra+oT9jvZZG24XtvAQQMMjLM3ttdCFyy7wHDIgJjB6nGfnSwDcfy7aaQs7awZPlpu3bl6stvr5Zr0NnhNqjdY4sfMOnWy3tmDVTf/xw0ETplqddtXxz9rE/txLW4FtCL8jboNVf+RH6UzK8JrX3tNEztvKtZVI7tAu5BtgWvjVNZnudC30hrd/g67PwDa+nXH3u2zbtdXg+dPxZ8K3RLwv7MtRjrS226K9vU662+PpmuQ7PZRb6688/vJ76bh/8eeVc59DfnO2ZZV1d6IuWb3gd9f1hg1n2a9fHRsCga8LG+uki5BYEDMp63bJGo5fzpqK9mXjdr5GvP7eQM6WnOp9WvnTMWgdPoe6sOGG9O+iSK+iUxYuVb442iBs7xYLhJJx2oGLhG35CSzsgniI28aHAV4xqpgUt+jvThnd08NyT2jn41jSpHd5PUv2FsNstfEP/RXsPCNs06/2c52XhSxzC/q5hUiU8J41f5nVEyzdnG3xbSluHekztS7UXWr6jLGobX4RcLXbPyjfU4xrsw6juWLetfK3HL00+9M+ofXjYq7ReKq89vQoYbNy40V1yySUDiu95z3vc2972tsF+jRtk6LgFAQP+8ykwepy26NJwU9Fx00iFDp9m8GR1inK0QXPuXctwAxWNQ63lG3Kl800dsHXNSFs/ZyM0ukvH1/Dl2Fp/YFXLogs58O2Cajd1avS3m5aUUWt4bVptnoVvzsmdEuh2cT5avmE/a+6tJTAN28DZXowvQkr6/Vx+mW9Bqv6Gekv1WG2Ub0tp6/BcNT5aKt+QQY42hHXOch/2YZb0049t1d/0I5YtkethJH+WGr41P+zludS07lXA4LbbbnMf/OAH3c6dO926devcm970JnfMMcfU1B8T50IXIbcgYLBEJZfR0xg73y81Gz3w9b3c7do6eLLoL51Z6MxTWk2Dp1CP6fxSJja0fLl+rekJeOIYfhs8lS2V1/C19ikdtw8L+JbfSxr9Lf+sbC3MOalt5Rve31Jsv41CN9KYrOqGa1hreI/RPkVs0d95Gl8Qf821mcp3HvyyUV3mzjeFcyrf0WPTdmh/Ka2G8QXsA/Vk+YtVf8s/w/QWcj6EJpBIR9bw5WxCTQ97pfdI+RK9ChiUjzN/C+lC5BYEDJaowOhx2pEvDXzzsYzVFDqfVH4aTj03mKhtUpv0eOfGs92+e3cMuoEG/6tOP8ut3rhpkNa2keoUcVy1Ew5t7Zp1HrHddckWt3vb1WNNSdFdEkzhy10rWmd3rNEF7oBvgZ3CNClFfxnx6pI43wFPaOfr5tAGWu8tGv2teTKbeorTYe19RsO39kkV4mv1y/wVJeU7L36Z5+LXob2g9BQfTcrXH8+vOd61jC9gH3wvl7/W6m/5Z6ZvYY6HkfzRU/habZE/JtbTJYCAwXR5Jx+NLkJuQcBgSCWH0Usxdv7I82L0wNf3eLdry+BJo790Npwzb5146JaSvnbOuafaJIOXVL7cQJ+OVcNTVXQe4cLpLpWRTq6k8OXY1qqznjP4ehJlrlP0t8wz6KZVoY+kvU4tfGud1ObuZ1J7G/a2hi9nh2t8QhD+b6gtefc5PaYjSPwy3xKp/nI6S3XU6pd5PrTmfAiyx5KHZqR8R49H2/MwvoB9CHu9vH2t/pZ3JnlbRDYBD3vlZVpzbQgYFN67ZOi4BQGDIRUYvSGLLrbAtwuqfJ3E+v4zTp3IlAyeUp2ieRw8cQMYgk0DpwM2X+j2O3H9BHufIOFL9dMk2eibDF6+9kFpk+4S29Wv3+RWbTjLo2DXMb70iRNybueRLQEDX1ZtikmM6W8xDZ1iQzidxaR2vg7IMVnlW5Oiv2EgiOpIeVrZH7MPa9JhTKp021MWv8y3rE1/59kv83xozdljSsf4gijoFtgHHbdpS7XZh2m3paTjkf6Gb3lR+1L9NAlfbs5B+xBJSQznpS0IGBTe03QRcgsCBuNUrEZPYuz8EefR6IGv7/3u15rBU4r+zvvgqYkv9Sw5SfSJojBwEONLddLkzZ5bb2YVpPZggT/pJjtB+W1BmTa+bYGCtjp9m2pag2+Zvdmmv2W2eHqtyjGpreE7D5PaZA8wmd29LjfZXemkSor+zuP4gnpQ45f5nm/iC7/MExqumzi3+VJNfIe1Dreo/nl7aAb2Ydj/JW6l6G+J7e+6TaS/3IOKZBPwsFfX9PtTPwIGhfcVGTpuQcBgkgqM3iSTnCngm5Nme11NTj1JYVK7nZ0kt8nB97LkKFHQYOUvn4pfvrC//IgjHdldkt278FsItN6zMDgKv93v66A19dWBmy9wy9asHU2uepu4cJNY/qQ92xULfIkLsaU13ev27tiexPagS67w1c7NGnzL7GoMSvl+adLX1CfSU/hywQLp5C5/FuWmEl88Idh9/xBnTKp0y7lJl/1Rve8w6pd53+roVfu57954PfwyD6tljfFFCxxlFuyDEtyUxFL8hyk1qajDtNlesruaN/DxsFdRXWxuDAIGZoTdVkBGjlsQMOCo8N9p9CXbjF7bzQRGzxME3yGJ7rfabuB09NHB02mnnea++M1vDyamSRaT2u19RIzaJrbbpeO5kte847X0swSx3b31arfr0i2dnMA8syWg4NuJWqkrbfMf1JVWJEj6apnUTuE7j09oE19MZnd/wTTpMR0Z44s8/Ikx/LI8LNtqadNlksP4oo0en9fGFPaBZzaN1BT/YRrtKfUYMdvrbQIe9iq1B7ttFwIG3fI1106GjlsQMOCoLKXB6DWzyZEDvjkoyuqIsZbV0lxq3ideiQwx/vnm8xo/J9RMj8+Zx7cKeBJLbHMO/klf6RVZ/1Rh03HnJT23fQBfveZgUNrOjnQVk9rtjCy5xJcLylCdbZNV/pic/uJhGU9nuI7ZXEyqDFlZtogz/DILwbhsTJfjNbSXmMfxRYwp7EO7znSVy93fujpWn+sl/cXDXn3uwe7ajoBBd2yz1IyAgQ4jjJ6Om1QKfKWk8pQj3hg85WHZVItnTPlNv0XQJOsHAZjM5gkRW3oNnhxRsOUZWVLB10LPLovBqIwh6almUruNLya1h+yJb1uA1t+n8ITgkJlmizhjUkVDLl2GWJPvSwt8h3R+EgnPOJVvU93z/tAM7EOTZswmvc1/mE2Lyj8q6XCbL5F6BngYKZVYeeURMCivT8ZahIDBGI7kHRi9ZGRJAuCbhMtcmHhj8GTGGK2AONMEN/1Gwd57Fn6v4N67F/52LMrRpMuyJyx8e3/N0nrFSesnfiQ5eoA5LpDCdtWGM/E2QaKugG8isEzFMSiVgST9bBuIYlJbxrGpFPHFZHYTnbzpMV1OPRomVdqJtd3btj+8x6175rPhl7UjbM0lvhhftCJKyoR9SMLVaWH4Zzq83ubiYS8dv5qkEDAovDcRMMjTQTB6eTg21QK+TWS6S/fMaVL72k9e6Z5z7JMwqd0RbjibHYH9ZbXgC77dEui2duhvGl+6d2FSO41Zamli3BaYSa0Pk9nNxLwvhkmVZkZd5sD+5qfrdRrjCztbzxL2wc5SUwPsg4bapIzXY8mDdHjYa5Jf31MQMCi8B8nQcQt+w4CjIkuD0ZNx0pYCXy05mxycIhu/mDT4xgjZ8sHXxi8mDb4xQrZ88E3nR74CJrXTuaVIeH8Mk1Up1PRlPW9MqugZaiRhfzXU5DLgK2fVVhL2oY1Od3nQ3+7YUs3g2y3fEmpHwKCEXmhpA12E3IKAAUdFnwZjp2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89exI0k+iYFLbxjEm7TljMjtGKm8+7ENenmFt4BsSybsPvnl5hrWBb0gk7z745uUZ1ga+IZE69xEwKLxf6ULkFgQMOCq2NBg9G7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/Lw0JrU9iemuob/d8gZf8O2WQLe1Q3/Bt1sC3dYO/QXfbgnUXzsCBoX3MRk5bkHAgKOiT8PNRM9OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+eXZ8kETAovLfoQuQWBAw4KrY0GD0bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/PogjYBB4b1EFyG3IGDAUdGnwdjp2UkkwVdCSV8GfPXsJJLgK6GkLwO+enYSSfCVUNKXAV89O4kk+Eoo6cuAr56dRBJ8JZT0ZcBXz04iCb4SSvoy4KtnJ5EEXwklfRnw1bPrkyQCBoX3Fl2I3IKAAUfFlgajZ+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjF5MG3xghWz742vjFpME3RsiWD742fjFp8I0RsuWDr41fH6QRMCi8l+gi5BYEDDgq+jQYOz07iST4Sijpy4Cvnp1EEnwllPRlwFfPTiIJvhJK+jLgq2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ewkkuAroaQvA756dn2SRMCg8N6iC5FbEDDgqNjSYPRs/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18euDNAIGhfcSXYTcgoABR0WfBmOnZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV8+uT5IIGBTeW3QhcgsCBhwVWxqMno1fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+fZBGwKDwXqKLkFsQMOCo6NNg7PTsJJLgK6GkLwO+enYSSfCVUNKXAV89O4kk+Eoo6cuAr56dRBJ8JZT0ZcBXz04iCb4SSvoy4KtnJ5EEXwklfRnw1bOTSIKvhJK+DPjq2fVJEgGDwnuLLkRuQcCAo2JLg9Gz8YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxq8P0ggYFN5LdBFyCwIGHBV9Goydnp1EEnwllPRlwFfPTiIJvhJK+jLgq2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ewkkuAroaQvA756dhJJ8JVQ0pcBXz27PkkiYFB4b9GFyC0IGHBUbGkwejZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjF5MG3xghWz742vjFpME3RsiWD742fjFp8I0RsuWDr41fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr49UEaAYPCe4kuQm5BwICjok+DsdOzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZ9cnSQQMCu8tuhC5BQEDjootDUbPxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG78+SCNgUHgv0UXILQgYcFT0aTB2enYSSfCVUNKXAV89O4kk+Eoo6cuAr56dRBJ8JZT0ZcBXz04iCb4SSvoy4KtnJ5EEXwklfRnw1bOTSIKvhJK+DPjq2UkkwVdCSV8GfPXs+iSJgEHhvUUXIrcgYMBRsaXB6Nn4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54Gvj1wdpBAwK7yW6CLkFAQOOij4Nxk7PTiIJvhJK+jLgq2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ewkkuAroaQvA756dhJJ8JVQ0pcBXz07iST4Sijpy4Cvnl2fJBEwKLy36ELkFgQMOCq2NBg9G7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfz6II2AQeG9RBchtyBgwFHRp8HY6dlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWz65MkAgaF9xZdiNyCgAFHxZYGo2fjF5MG3xghWz742vjFpME3RsiWD742fjFp8I0RsuWDr41fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NXx+kETAovJfoIuQWBAw4Kvo0GDs9O4kk+Eoo6cuAr56dRBJ8JZT0ZcBXz04iCb4SSvoy4KtnJ5EEXwklfRnw1bOTSIKvhJK+DPjq2UkkwVdCSV8GfPXsJJLgK6GkLwO+enZ9kkTAoPDeoguRWxAw4KjY0mD0bPxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfHrgzQCBoX3El2E3IKAAUdFnwZjp2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ewkkuAroaQvA756dhJJ8JVQ0pcBXz07iST4Sijpy4Cvnp1EEnwllPRlwFfPrk+SCBgU3lt0IXILAgYcFVsajJ6NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjF5MG3xghWz742vjFpME3RsiWD742fn2QRsCg8F6ii5BbEDDgqOjTYOz07CSS4CuhpC8Dvnp2EknwlVCSldl3z91u99ar3b5773Z779mxuN537w637AlHLFaw7Alr3fI1S9srN5zl9jtxvaxilGokAP1tRJMlA3yzYGysBHwb0WTJAN8sGBsrAd9GNFkywDcLxsZKwLcRTZYM8M2CsbES8G1EkyUDfLNgLL4SBAwK7yK6ELkFAQOOijwNk1ZyVrlK4qaSiyRfD/jyXHKlgq+e5CNfutntueVmt3vbVQsBgh1JFVEggYIGCB4kYZsoDP2dQJI1AXyz4pyoDHwnkGRNAN+sOCcqA98JJFkTwDcrzonKwHcCSdYE8M2Kc6Iy8J1AkjUBfLPiLLIyBAyK7JZho+gi5BYEDDgq7WmYtGrn02UubiZd0nUOfMG3WwK62ikwu+uSLQuBgqt1FYxI+cDB6tdvcsvWrB3JwWaMAOxDjFA8v+0hg7vuusute+az8WZMHKOqBPRXhU0sBL5iVKqC4KvCJhYCXzEqVUHwVWETC4GvGJWqIPiqsImFwFeMqtcFETAovPvoQuQWBAw4KnwaJq14LtNOxU2lW+LgC77dEkirfdfFW9yuS7ekCQlK+8DBAZsvFJRGEU8A9sGTkK/xkIGcVdclob/dEgZf8O2WQLe1Q3/Bt1sC+Wpve/iAjoLPcuZj7WuCffAkulmDbzdcS6oVAYOSeoNpC12E3IKAAUdlMg2TVpNMZpGCm0m31MEXfLslkFb7ztef7fbcenOj0KrTz1wcFK04ab1bvvDJoeVHHOn27ti+WH7vwieL/ICqrY4VJ6x3B26+AG8bNFIeZsA+DFlItvCQgYTS9MpAf7tlDb7g2y2BfLV73wC/gZSPaawm2IcYoXi+f/hA8xCNf0gGn+WMc+ZKQH85KvnSwDcfy5JrQsCg5N5ZaBtdiNyCgAFHZTwNk1bjPGa9h5tKtz0AvuDbLYF47TQoenDzW9nfKaAJ/lUbzlz4O4utiNNfmhygOulHkrngAQ2k6E0D/DAyi3QskeM7VgA7iwTwkEGZigD97bZfwBd8uyWgrx2TrXp2uSRhH3QkSXcf3npVls9yUgvoYRsEDtL7AvqbzixFAnxTaPWzLAIGhfcbXYTcgoABR2UpTTNp1WbsMGnVzFqa08ZXWgfKNRMA32Y2OXLAN06R7O4DG8+eKEiT+vS7A02BAhKQ8N29MOii30MIfzQZQYMJ5BMJEr4TQnOYkPqQAf2WBvkH69atc9+98Xq8GdORzkB/OwL7y2rBF3y7JaCrHZOtOm65pWAfdETp4Zkcv98VHt2/cYDPcoZk+H3oL88lVyr45iJZdj0IGJTdP3jDILF/MGmVCGyKxXFT6RY2+IJvtwTaa79/w29PTObTWwUHXXJFu+AvcyX6S5Oz3I8o0wDqoIuvwOeJWkhL+LaIV52lecggBDLKFw8ZhHTs+6N87bWhhpAA+IZE8u6DbxpPTLam8eq6NPRXTpj8CXpTkXsr1teS47Oc8Hs9zfga+htnZCkBvhZ6/ZBFwKDwfqKLkFvwhgFHxTntpFWKscOkFc++LTWFb1s9yOMJgC/PJVcq+LaT5J7MpgGR9AmoFL5kf+kTReG3YFOCE+1nU19uCt/6zr79jCwPGfia2/jizRhPSb9u46uvFZKeAPh6Et2swVfOFZOtclbTKgn9lZNu8ieohqbPcrbxlTx8EHuDV976Oku28a3zjKd7VuA7Xd6zOhoCBrMiLzwuXYjcgoDBJBVMWk0yKSkFN5VuewN8wbdbAnzt3JOAKcECX2uq/nLfmtcc1x+/9nUq39p5+PPTPmTg5f26jS8eMvCU9Os2vvpaIekJgK8n0c0afONcNZOtvlaOLyZbPR37muNrr7WuGpr0lwIFqzduav2tLQlfeviA+z0vetMAQYN2XZLwba8BuW0EwLeNTh15CBgU3o90EXILAgbjVKyTVlpjh0mr8X5o2tPybaoP6eMEwHecR+498OWJ0oD8/jNOHcvUPOmv4ctNwuIV7bGuGOxo+A6EK96wPmTg0Uj4kr7izRhPLG0t4ZtWI0qPEgDfURr5t8E3zhSTrXFGsyoB/Y2Tb9Pf2Gc5U/hyfi+1Dr5vcx+l8G2uBTlNBMC3iUxd6QgYFN6fdCFyCwIGQyqYtBqyKHkLN5Vuewd8wbdbApO1h4FaGrQcsvW6yYKCFI3+ku3fufBDy6M/hIy3DHjYGr58TXWkhrpLZ2XRHSlfPGSg0x8pX13tkALfbnUAfJv5WiZbfa0Svphs9bTS1xK+6bXWI8G9qXjA+Re4VRvOEp1kKl962+DBd543VjeCBmM4xnZS+Y4JYydKAHyjiHpfAAGDwruQLkJuQcBgSCUc+GsmrSzGDpNWw75o2rLwbaoT6UMC4Dtk0cUW+E5S5QK1KQOk0RotfMOBE9l/+u2E/U5cP3qIud628K0RHKe7mjdjPJsUvtykFQb6niS/TuHL14DUNgLg20bHnge+7Qwx2drOZ9a50N/2HuDeVHzMxVeIfVAt39D3pVZaHnpoP8v+5mr59veMp9ty8J0u71kdDQGDWZEXHpcuRG5BwGCJCjfwx6QVpzGzT8NNpds+AF/w7ZbAeO05ArWjNVr0NxywYdA0SnZp28J3srZ+p+TWXaKRwpf8FrwZk6ZDKXzTakZpIgC+3eoB+PJ8w3s3lUqZbPW1pvLFZKsnJ1un8pXV2v9S3NsxGv9Ty5d7Y1Fz/fS/J9rPQMu3vVbkegLg60nUu0bAoPC+pYuQWxAwWKKSa+Cfw9iFjq/GaeD6uoa0HHxr4NDVOYBvV2SX6gXfSb7hU4HaQC3VbOUbDv41b5lNnmE9KVa+9ZBwLudDBp6Lhi+ns3gzxhMdX2v4jteAvTYC4NtGx54HvjxDTLbyXEpLhf4290g47te8qWjhS/7Mzzef5/bcevOgkZo2DIQr3LDwrRBH9lMC3+xIi6wQAYMiu2XYKLoQuQUBgyUqmLTitKPMNNxUuu0X8AXfbgkMa+cmXQ+95bvDAooti/5y7cFTVuOdYOE7XlO/93I9ZBBS0PANJxvwkEFIdbiv4TuUxlaMAPjGCNnywXeSX2j/LBOdGr6YbJ3sk6YUDd+mumpJD4P+dF5av9PClwu8adtRS9+E52HhG9aF/UkC4DvJpLYUBAwK71G6CLkFAQP+SUHtpFUOY4dJK05Tl9Jy8G2uHTng260OgO843/A1aOtEZw6+4eSDtU3jZ9zvvRx8+01g2PqcDxn4WrV8wwkHvBnjiY6vtXzHa8FeEwHwbSKTJx18JzmGto9KaCc5LXwx2TrZN2GKhW9YV0374cMHWp8zB99cbampf/y55ODr68J6kgD4TjKpMQUBg8J7lS5EbkHAwDlMWnGaUW4abird9g34gm+3BIa1h4MTy+eIfK1W/Q0nILSDN9+e2tZWvjXw4IL62ocMQh4avlx7tJNmYXtq29fwrY1Bl+cDvl3StX92r9vWTb/20Iew3q8t+pu7LdOn2f0RLXy7b91sjvCTk35t7MCHfOYLbtmatWNp0h0r39CXwMMH4+StfMdrw15IAHxDIvXtI2BQeJ/SRcgtCBg4Fzp5lkmrXMYOk1actmKwxFPJl5pLf/O1qK6awHe8P8On+a2TnDn4hk8KWj5vMH62/d/Lwbf/FPI/ZOCZWPiG15J14sy3qaa1hW9NHLo6F/DtiuxSveA7yReTrZNMSk2B/k72TOhvUgntwwe5+Ia+hNUvnzzrfqbk4tvPs+++1eDbPeMSjoCAQQm90NIGuhC5BQED53LfHHMYvdCJwKTVUHtz8B3Whq2QAPiGRPLug++QZ/hZF8uTVb5WK188YeVJ8msrX77WfqXmfMggPHMtXzxkEJLk97V8+dqQGhIA35BI3n3wHfIMx0mUo51s9bVa+eYeT/p21bK28q2Fgz+P0JdYfc4mt3rjJp+dvM7BF75EM/YcfJtrRw741q8DCBgU3sd0EXILAgbO5Zy0ymXsMGnFaSveMOCp5EvNpb/5WlRXTeA73p/h04GzHuxT62B7x/todA/6u0Sjq0khC99w8gwPGYxq7tK2he9kbUgJCYBvSCTvPviO88Rk6ziP0vegv5M9FOowvnAwyaiUFOhvtz0Bvt3yLaX2uQoY3Hfffe7DH/6w+/rXv+5+8IMfuDvvvNPtv//+7tBDD3XHHXece/KTn+xOO+00d+qpp5bSP44uRG5BwMA5TFpxmlFuGm4q3fYN+IJvtwSGtee2vVRzDv3tol3Ds+73Vg6+/SaQ9yGDkIWWLwJdIUl+X8uXrw2pIQHwDYnk3QffIc+ck62+ViueDaSsAABAAElEQVRfPJ3tSfJrK1++1v6m5nxgkSjk4IuHD5r1KQff5tqRA77160DvAgb/8R//4W655RZHE+bPetaz3O/8zu9Ee2nnzp3uwgsvdB/4wAfcgw8+GC1/+umnu/e///3u2GOPjZbtugBdhE0LMfAX6Tyuf3zik8bQ0FOuJXAotV3zri84//m2F+j/fP1/29OOcUeuXDGwv8+4/S531+5HZmp/9+7Y7u4/49RBm+hH3x677YuLvkIJ9wXoXz790/ZnGFB63Je+N3P9gN7OXi+0+gS5R838+oFd7d/1U6L/8PAtN7kHNp498B/oTa+DL70S+j3n8wxN9uWnpz/X7bt3x0Bf6LOcy484cqb6cvSq/dyXjz960KbtD+9xT//qnTP1y5v4Ib1/djvm7wwUDxtVEuhVwOCOO+5wxx9//KJBpt5Yv369u+mmm1o7hozS85//fPf5z3++tVyYud9++7m3v/3ti39h3jT36QLlFhjb/+dKdDox+K/vJhi7SSIfkwbzZo9/ds4r3Z5bbx7cmujH1Vae9MyZDpZOOWh/95lj1wzadMMDv3AbvnU3BksLPsS86WfT+ZYazC+1XU0ckQ4/B34P7KrWDmCyFfaj7/ajxIcP6HostV1972+0X3a/GwzAsFEdgV4FDN7xjne4d7/73YNO2Lhxo/vIRz4y2Oc26BNEb37zm7ksUdqnP/1pd8YZZ4jKdlGIjBS30I1h3pec3yP2NwMrU7wSyBPMxZevHang260OgO8439yfFMjBd9fFW9yuS7cMGrrq9DPdAZsvHOzP80YOvjXwy/0ZAc/EwhefJPIUm9cWvs21IscTAF9Pops1+I5zDSc1S/gNJGph7naNn3V/96C/k32X05fIyRc6PNlXOflO1o4U8J0PHehVwOB5z3ueu/baawc9c80117gXvOAFg/1wY/v27Yu/TfDQQw+FWe6www5zxxxzjNu3b5/bs2eP+973vsd+rujxj3+8++pXv+p+9Vd/daKOaSTQhcgtCBg4h0krTjPKTcNNpdu+AV/w7ZbAsPYuvvdr1d/wfrD6nE1u9cZNw0bP+ZaVbw34cj5kEPLQ8sVDBiFJfl/Ll68NqSEB8A2J5N0H3yHPnJOtvtYcfDHZ6mlOrnPwnay1vym5fYkcfOFLNOtTDr7NtSMHfOvXgV4FDNasWePuvffexV5Zvny5u//++92BBx7Y2EtXXnmlO/vs4TcJqeBTnvIUt3nzZnfmmWe6ZcuWDWQpaHD55Ze79773vYs/iDzIWNh44Qtf6LZt2zaaNLVtugi5BQED53JOWuUydpi04rQ1zw868TUjlQjk0l/Q5AmA7ziX3E9F5+AbDvbpm7LL1qwdb/ic7uXgWwO68P58wPkXuFUbzjKfmoUv3oyJ47fwjdeOEuDbrQ6A7zhfTLaO8yh9D/o72UM5dTgXXwQMJvuJUnLx5WtHKvjOhw70KmCwcuVK98gjjyz2zLp169z3v//91l6i3yB4z3veMyhz+OGHu9tvv93RWwNNy+7duxd/SPnGG28cK0JvK6xdO/3JB7oQuQUBA+cwacVpRrlpuKl02zfgC77dEhivPeeAiWq26G8YPKYfPD5k63XjDZ7zPQvfWtCFepLzs1VavmEQA2/G8Nqm5cvXhtSQAPiGRPLug++QZ27fgWq28sVk67B/uC0rX67OPqeF922rL5GDb9gm+BJDDcvBd1gbtkIC4BsSqW+/NwGDhx9+2K1atWrQAyeeeKK75ZZbBvvcxotf/GJ31VVXDbLojYNXvOIVg/2mjR/96EfupJNOchQk8MtFF13k3vCGN/jdqa3pIuQWBAyWqORyPHMYu3AyApNWQ83NwXdYG7ZCAuAbEsm7D76TPHPaOyvf8D6AgdJ4f1n5jtfW373cDxl4Eha+eDPGU2xeW/g214ocTwB8PYlu1uA7zjWc2MRk6zif0vagv5M9UpL/61sXfuor1xuUvv6+rqG/3fYc+HbLt5TaexMwIGCHHnqo++lPf7rI7rjjjnPf+MY3WjnS54e+/vWvD8rcdddd7qijjhrst2287W1vc3/1V381KLJp0yb3wQ9+cLA/rQ26ELkFAYMlKiXdtDFpxWnqMA03lSGLLrbAtwuqwzrBd8iCtsLJV0qzDFC0fMN7ALXjMRdf4fY7cT1tYvklAS3f2gCG9+lcuqLhG+ouHjJo1jYN3+bakBMSAN+QSN598B3y7MLuWflisnXYP9yWlS9XZ5/TOP/X4ktY+XLtsf6YeJ/7J2y7lW9YH/bHCYDvOI8a93oVMDj55JPdf/3Xfy32wwEHHLD4GwYrVqxo7Bf6bNGdd965mL///vuzP2rcJLx161Z3xhlnDLJf/vKXu09+8pOD/Wlt0EXILQgYLFHhbpKaSSursQsdYGqdxXng+rzPaVa+fT73abQdfLulDL483/BJQe2Ep4VvONC3Pq3In2m/Uy18+33mk60P79VanR2tWcs3DF7gzZhRqsNtLd9hDdhqIwC+bXTseeA7zpAbt1nGS1a+XHsw2TrsMyvfYU11bYX3b63vmYNvrrbU1UNLZ5ODb41ccp0T+OYiWXY9vQoYvPa1r3X/+I//OCD66U9/emxSf5Dxy43f+q3fGny26OCDD14MMIRlmvZvuOEGd8oppwyyX/CCF7hrrrlmsD+tDboQuQUBgyEVTFoNWZS8hZtKt70DvuDbLYHJ2rmB9ooT1ruDLrlisnAkRaO/4SCJDoEfO+ZBa/jyNfU7ldNZzUMGIYVUvmHgguqzTJqF7altP5Vvbeff9fmAb7eEwXecb3jv1k62+lotfHO3xbepprWFb00cRs8l5z3cwjf8/Q1qI3yJ0Z6y/8bJeG3YCwlY9DesC/tlEuhVwOCCCy5wf/7nfz4guX79eveFL3zBPfrRjx6kjW7QGwL0poBffvzjHy9+1sjvt63pNwvOPffcQZE//MM/dB/72McG+9PaoIuQWxAwGFLhJgBSJ60sxi50NqllmLQa9g9tWfiO14Q9jgD4clTypYFvM8tdF29xuy7dMlYg9UlpDd8wUEwNSD3uWKMr3tHwrRiHC3XH+paBhi/ejJFrmIavvHaUBN9udQB8J/lisnWSSakp0N/mngnH/6lzD1SzlW+ONjSfYf9zrHz7T6DbMwDfbvmWUnuvAgbXX3+9e85znjPGbsOGDe7qq6923KeJ3vve97q//Mu/HJT/13/9V/cHf/AHg/2mDZqMp3r/7d/+bVDkne98p3vHO94x2J/WBl2I3IKAwTgVTFqN8yhxDzeVbnsFfMG3WwJ87RSw3XXJFrd729VjBVIn71P0N5zwpQNrBmpjDa58J4Vv5SjY39+w6k8K33CAT7zxkEG71qXwba8JuRwB8OWo5EsD30mWoR202GAt35xtmDzDelK0fOshwJ8J93R/qu9LNWv5hvpLdeHtAqIwvmj5jteCvSYC4NtEpp70XgUMCDtN5G/btm2sB84++2x3+eWXu+XLl4+l33TTTe5Zz3rWIO0Vr3iFu/LKKwf7TRtvectb3JYt409MXnHFFe6Vr3xlk0hn6XQRcgsCBuNUrJNWGmOHSavxPmjb0/Btqw954wTAd5xH7j3wbSdK9nfnxrPdvnt3jBWUTgCk8OUGSNYnxMcaXeFOCt8KT589pRwPGfiKU/hyfoNmgsEfex7WKXzngUfucwTf3ETH6wPfcR5+D5OtnkTZa+hve/9Y7+lavtz1Y/20V/uZ9jNXy7efZzv9VoPv9JnP4oi9Cxh8+9vfdk996lPdI488MsbryCOPdG984xvdOeec4w477LBB3rHHHuu+853vLO6vXLnSff/733dHHHHEIH90g+p+97vf7T7xiU+MJjuSozqOOuqosfRp7NCFyC0IGExSwaTVJJOSUnBT6bY3wBd8uyXQXjvZ3/vPOHWiEE3mr379Jrdqw1kTeaMJMf2lTxjQmwxhUILqwBNVoyT57RhfXqreVOtDBiEZCV9uYkEaVAuPN2/7Er7zxiTn+YJvTpqTdYHvJBNK4WyiJoCayheTrXx/NKWm8m2qp8Z0bu6B/N5Vp5/lVm/cJDrlVL6c/uLBmWbUqXyba0IORwB8OSp1pfUuYED4zzvvPHfhhReyPUG/Z0C/XUBBhSc+8Ynu3//938feKnjJS17i3va2t7ldu3Y5+k2DO++8033zm99c/C2EO+64w3ET8W9+85vdhz70IfZ4XSfSRcgtXDu5cvOWpp20kho7TFrpNErKV1c7pMC3Wx0AXxlfbuDkJWkwc8DmC91+J673SYN1G982m9tW56BybKhfd68dXZO+pk7it+mvZ4g3YzyJ9LWEb3qtkPAEwNeT6GYNvs1cORuMydZmXrPIgf7GqTfNPUie+E/ly/kS1EI8OMP3UypfvhakNhEA3yYydaX3MmBAk+X0JsDmzZvZCf6cXXTIIYcsBhQOP/zwnNWK66ILkVsQMOCoLKVxDqgv3TbB1Gb0MGnlCerXbXz1tULSEwBfT6KbNfjKuJL95X7TwEuTDaagwYqFv2Vr1rrlC/u0Jr57d2x3exc+a0R17PnSzRO/i+DroHXqpO6o7DxuQ3/5Xm8a6JOeSt6M8bU28W3zHTDA9/Ti6ya+cUmUkBAAXwklfRnwbWbXZIMlk62+VilfTLZ6YmlrKd+0WusqzT31T2fYNu/gCUj4Uv30Rg7esvXU5GsJX3ltKBkSAN+QSH37vQwY+G6gHzF+9atf7X7+85/7pKzrJz3pSYu/l3DcccdlrTelMroIuQUBA47KMC110urXTj7F3bV76TNXJItJqyHLHFu4meSg2FwH+DazyZEDvmkUyYbu3nq123Xp+G8BpdXSXDplIqG5lvnJgf629zXpK/cbHCSlHey3BQokdba3eL5yob/d9jf4gm+3BOK1Y7I1zmhWJWAf5OSb9JhqoIdc6BNF4Vu2Mb5UJ/3m0p5bb2YbggcPWCyDxBjfQUFsqAiArwpb74R6HTAg2nfffbe76KKL3GWXXeZ+9KMfZemAVatWOfp00Qc+8AH3uMc9Lkud2kroQuQWBAw4KuNpmLQa5zHrPdxUuu0B8AXfbgmk1042uO1tg9QaKVBAT33TGwlY0gjAPrTziukqTfJzb8ZQrST73OOOdZ+/4uN4M6YdszoX+qtGJxIEXxEmdSHwjaPTTLb6Wpv4YrLVE7Ktm/jaaq1TmvyBn28+r3GC3/sSK3/5u170lu3yI45c/GIGyaY8sHjg5gvgDwvUCPorgGQoAr4GeD0R7X3AwHPevXu3+9SnPuWuueYad+uttzr6AeN9+/b57Oj60EMPdccff/zi7x+85jWvmXmgwDeYLkJuQcCAo8KnxSYCeKnmVExaNbNpysHNpIlMnnTwzcOxqRbwbSIjSycbTAN3euug6Smpppr84AqBgiZC8XTob5wRlSA9xZsxMlbTLAX97ZY2+IJvtwTktZMNbnrbi2rx/gAmW+VMrSVhH9IJ5p53CFuAt2xDIs370N9mNjlywDcHxfLrqCZgEKKmzxR99atfdffdd5/buXOne+CBBxb/qNwBBxzgDjzwwMU1vUHwG7/xG+6II44Iqyhiny5EbkHAgKPSnoZJq3Y+XefiptItYfAF324J5Knd22H6jYK99yz8XsG9dw++yUqTAcuesPC7BmuW1qs2nImnp/Jgxw8fJ3DMPdjHQwYJ8BuK4v7WACZTMvhmAtlQDfg2gGGSc9vf8BCYbA2JxPehv3FGXAnS5ba3DTiZtjT6rBHeKmgjxOdBf3kuuVLBNxfJcuupNmBQLvK0ltFFyC0IGHBU5GnhpNUPbrrBHblyxWIFmLSSc5SWxM1ESkpXDnx13KRS4CslpSsHvjpuUinwlZIaL+f9BLwZM85l2nvQ326Jgy/4dktAVzsmW3XcckvBPtiJel2mmvCWrZ1nSg3Q3xRa6WXBN51ZHyUQMCi81+hC5BYEDDgqtjQYPRu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4xQe74PHjS9GfOf3/6e+51XvHLxDRm8GdPOUpML/dVQk8uAr5yVpiT4aqgtyWCyVc8ulyT0NxfJpU8f0ic6m3yJ0bdsV5y0fuJHkvO1ZH5qgv5229fg2y3fEmpHwKCEXmhpA12E3IKAAUdFnwZjp2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ewkkuAroaQvA756dhJJ8JVQkpWJBW4x2SrjmFIK+ptCK70s+KYzS5EA3xRa6WXBN51ZHyUQMCi81+hC5BYEDDgqtjQYPRu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38+iCNgEHhvUQXIbcgYMBR0afB2OnZSSTBV0JJXwZ89ewkkuAroaQvA756dhJJ8JVQ0pcBXz07iST4Sijpy4Cvnp1EEnwllPRlwFfPTiIJvhJK+jLgq2cnkQRfCSV9GfDVs+uTJAIGhfcWXYjcgoABR8WWBqNn4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV8fpBEwKLyX6CLkFgQMOCr6NBg7PTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2fZJEwKDw3qILkVsQMOCo2NJg9Gz8YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXx64M0AgaF9xJdhNyCgAFHRZ8GY6dnJ5EEXwklfRnw1bOTSIKvhJK+DPjq2UkkwVdCSV8GfPXsJJLgK6GkLwO+enYSSfCVUNKXAV89O4kk+Eoo6cuAr56dRBJ8JZT0ZcBXz65PkggYFN5bdCFyCwIGHBVbGoyejV9MGnxjhGz54GvjF5MG3xghWz742vjFpME3RsiWD742fjFp8I0RsuWDr41fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn59kEbAoPBeoouQWxAw4Kjo02Ds9OwkkuAroaQvA756dhJJ8JVQ0pcBXz07iST4Sijpy4Cvnp1EEnwllPRlwFfPTiIJvhJK+jLgq2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZ9UkSAYPCe4suRG5BwICjYkuD0bPxi0mDb4yQLR98bfxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGrw/SCBgU3kt0EXILAgYcFX0ajJ2enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPbs+SSJgUHhv0YXILQgYcFRsaTB6Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjF5MG3xghWz742vj1QRoBg8J7iS5CbkHAgKOiT4Ox07OTSIKvhJK+DPjq2UkkwVdCSV8GfPXsJJLgK6GkLwO+enYSSfCVUNKXAV89O4kk+Eoo6cuAr56dRBJ8JZT0ZcBXz04iCb4SSvoy4Ktn1ydJBAwK7y26ELkFAQOOii0NRs/GLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bvz5II2BQeC/RRcgtCBhwVPRpMHZ6dhJJ8JVQ0pcBXz07iST4Sijpy4Cvnp1EEnwllPRlwFfPTiIJvhJK+jLgq2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ez6JImAQeG9RRcityBgwFGxpcHo2fjFpME3RsiWD742fjFp8I0RsuWDr41fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+PXB2kEDArvJboIuQUBA46KPg3GTs9OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+eXZ8kETAovLfoQuQWBAw4KrY0GD0bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/PogjYBB4b1EFyG3IGDAUdGnwdjp2UkkwVdCSV8GfPXsJJLgK6GkLwO+enYSSfCVUNKXAV89O4kk+Eoo6cuAr56dRBJ8JZT0ZcBXz04iCb4SSvoy4KtnJ5EEXwklfRnw1bPrkyQCBoX3Fl2I3IKAAUfFlgajZ+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjF5MG3xghWz742vjFpME3RsiWD742fjFp8I0RsuWDr41fH6QRMCi8l+gi5BYEDDgq+jQYOz07iST4Sijpy4Cvnp1EEnwllPRlwFfPTiIJvhJK+jLgq2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ewkkuAroaQvA756dn2SRMCg8N6iC5FbEDDgqNjSYPRs/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18euDNAIGhfcSXYTcgoABR0WfBmOnZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV8+uT5IIGBTeW3QhcgsCBhwVWxqMno1fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+fZBGwKDwXqKLkFsQMOCo6NNg7PTsJJLgK6GkLwO+enYSSfCVUNKXAV89O4kk+Eoo6cuAr56dRBJ8JZT0ZcBXz04iCb4SSvoy4KtnJ5EEXwklfRnw1bOTSIKvhJK+DPjq2fVJEgGDwnuLLkRuQcCAo2JLg9Gz8YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFC8vx999ztdm+92u279263954di+t99+5wy55wxGIly56w1i1fs7S9csNZbr8T18srR0mWAPSXxZItEXyzoWQrAl8WS7ZE8M2Gkq0IfFks2RLBNxvKYitCwKDYrllqGF2E3IKAAUdFnwZjp2cnkQRfCSV9GfDVswslMZkSEul+H/rbLWPwBd9uCeSvfdQOX/vJK91zjn3SwsQ2JrW1pB/50s1uzy03u93brlrkmFIPBRIoaIDgQQq1YVnY3yEL69aoXUCwy0pTJg/9lXFKKTWqx7i/pZBLLwv9TWeWIgG+KbT6WxYBg8L7ji5EbkHAgKNiS4PRs/Ej6VEnKHTm77rrLrfumc/Gk2sGzOBrgNciismUFjhTyoL97RY0+IJvtwTstXs7vOvSLcmVYVKbR0Y+w65LtiwECq7mCySkesarX7/JLVuzNkESRWF/9Trg7QKCXXqGKZJt4wyqB28gpdAcloUeD1lMewv2t1vi4Nst3xJqR8CghF5oaQNdhNyCgAFHRZYGZ0jGSVoKTpCUlK6c54tJFB2/NilMprTRmV4enM1uWYNvPr7wH/Kx9DXRPe7hrVdlmdSmOledfiaehl/gsOviLU7jN/h+aVr7wMEBmy9sKoL0EQKwvyMwEjbhnyXAMhb14wwEZYwgGXHoMQNlikmwv93CBt9u+ZZSOwIGpfREQzvoQuQWBAw4Ks1pcIaa2Whz4ARpycnkMIki46QthckULblu5OB02rm2TWbjDS89X/gPenYxyQc3vzVboGD0WPM+qb3z9We7PbfePIpkbJuCKvSk8IqT1rvlC58cWn7EkW7vju2LZfYufPrJ25K2OlacsN4duPkCvG0wRpbfwf2N59KUCv+siUzedIzj8vIMa4Meh0Smt+/vYfRbPfjsU7fccX/rlm8JtSNgUEIvtLQBAYMWOIIsOEMCSIoicIIU0BJEMImSAEtRFJMpCmgdisDZ1MP1k9maJ4n9pCq+Tc7zh//Ac8mRSnpLfkTbhLSf1H7+//1z98VvfntxYpr6hBbppDbp+EEXXzE3k9rElfwH+r2HcKEJ/lUbzlz4O2ssq83+Em+qk34kmesr4ktvGuCHkceQju208R0riJ1FAvDPpqMIGMd1y1mqx5b7G4K2430If3icxzT2cH+bBuXZHwMBg9n3QWsL6ELkFrxhwFEZT4MzNM4j157UCfJPrtG3bmnQuW7dOvfdG6/Hk2stHZEyiWLhO2+TKB65ZjLFy3JOESZTPB37muNrr7XeGkiX8RmX7voX/kN3bEl3H9h4NnuAria16bv74UQ524AeJzZxpft97Pwl9nf3wmej6PcQwmAEggZxpZHwjddSdwn4Z9Pr39RxHN5AkveNRo/b7APGGXH2xBz+cJxTVyXa9LerY6Le6RJAwGC6vJOPRhchtyBgwFEZpsEZGrLItaVxgvyxuZsJnCBPZ2lNfFMnUXwNWr6xSQRffw3rJr6YTJl973L6O/tWldsCvIHUbd/Af+iOb5MdpkDB6o2b2CfVU+wDTWpzT8NL7Hx3Zz2dmu/f8NsTk/nE9aBLrmhtQApf8tu4H1EmvvP0Jkcr0CAzhW8gOje7TXZBct1K+CLYtaRKxBlvIHV3WWn0WKK/vsXQY09iuIY/PGQxi60U/Z1F+3DMPAQQMMjDsbNa6ELkFgQMOCpu8dXpVGfI18QZPUxqL9HROEGeq19zfH3evDtBTXzbJlE8O7+O8Z3XSRTPRzuZ4uXb+PoymEzxJNLXEr7ptdYlQXZC+hkXvIGU3vfEF/5DOjepRNt9DpPaUop8OS7IRZ90kv4wcYr9pfsc+RPhZ9AkwQm+9fWnpvCtn8bkGcI/m2SSO6XJ/iIok4+0Vo9T7APGGUv9leIPWz77hGB4/PpI0d94bShRIgEEDErslZE20UXILQgYTFKBMzTJJFeK1gnyx5fcTObVCWrS25TBN/h6TePXmEzhuZSSKtHfUto6q3Y02QlqD9kK7tvkvq0cX7K3VCcXSCQ5ySSCr7+GdRNfCQeOb8hk3oPixIPzIw44/4Lop4IkfEPetE/MH3zneWNZNQ7+uScsuwoWjMLkPtuVctzRumre1upvzUxGzw3+2SiN7rY5+ysZZ6To77yO46jXtHqcwtdrB3Ge56Btk79GfEJ/WMIX/rDXrPS1hG96rZAojQACBqX1SNAeuhC5BQGDSSpaZ8jXJDF68+gMaZ0gz9WvpXznzQni9FYyieK5+rWEL5Wdl0kUz8U6meLrkfL15TGZ4knI1ql8ZbXWUappcEQDo6bPuIRn3saXbAIXOJBMlofH6es+Z4clkyn+fNv4+jLz6D/4c+f8iMcs/Bix9MdyJXz9sUbX3P2upklt0qn7zzh19JQXJ0xib2yMCSzsaPhy+lxjQCZkpdnX8NUcp28y8M+m02Oc/U2xgyn6S3Zh3sZxVj1O4TuqMfM4ztD4wyl84Q+PaphsO4WvrEaUKo0AAgal9UjQHroIuQUBg3EqcIbGeeTaszpBvh2pN5N5cYI4vU2ZRNHyrX0SxXPBZIonUfY61T6UfTZ5W9c2OJJOCkr4cpN/dCbzMAHI2WFMpuTTY06Hu+LLtZrzJzT3Wa7uWaeFPhpdr4dsvS6pWRL70FQh2Y2dCz9gPfpDyCl921RvTekWvjVxCM8F/llIpJv90EbQUVKuUa3+cnY35bjd0Mhfq1WPtXzpTDi/rWafjfMliEPbwx0avhxXOk7NbOn8NIuGr+Y4kJktAQQMZss/enS6ELkFAYMhFasz5GtKNXq1O0NWJ8hz9esUvtzNurYbNef4WJzpFL7UJ5z+1jKJ4nUutA2ayRRfVypfkiM9xmSKJ9i+1vBtr7GOXO7Jd7yBlK9vQxtBNWvscKr+cvZXc9x8JLqrKQzItA3um1qRyne0HrLDP998nttz682DZE0bBsKFbHA+msY20OlY+IYPINB9ln47Qfr2SCE4O22GhW+nDZth5aHthX+WvzM4G6GxfRr9pWOHP5Be2ziOeiyHHmv4em0hzvMyztD6w1q+4b2NmNeow16XtGstX+3xIDd9AggYTJ950hHpIuQWBAyWqMAZ4rQjT1oOJ8i3RHMzqd0JyjGJYuVb4ySKZ8LZBkymeDplrTX2oawz6KY1oY2go2iCeql8uUFSjZPZnI3AZEpeXeZ0KVWHU/WXOwMuQJ/aDq7eWabl8tFy8A1tVY32QtvXOfhqj12qHGd74Z/l760cNsKiv7WP43LosYWv15jwPltj0Da8x9C5S+7hVr4hWzou7m9EYWmx8vX1YF02AQQMyu6fxad+uCYiYLBEJYcz5PlqjF6tzlAOJ8hz9WsN3/BGXYsTFJ4XMZI4Pp4lt9bwrXESxbPJaRuoTg1f35bQ0YWz6ckM1xa+w1rq2eKuTYvepPLlnoC32qjSeienjUjlSyxq9R9G+zlkrNVhDd/RdtB2rraE9c5qP3zaUjvhSu238g19GvLVUj+NNCuO0ziule802jjNY4TXolVfLHxr9c9yjuMsfDnbUMsbSLn02MLXX7e16jGdn9UftvKdB3/Y65FmbeWrOSZkpksAAYPp8k4+Gl2E3IKAwdJgO/yxN+2AyWLsanSGcjlBXnctfGt0gkK+2kmUHHxzt8W3adZrTKbMugfkx7fYB/lR+lUytHuaJ9/9GWv40mQD3kDyBNvXGr6+xhr9B39utP7JSb82uusO+cwX3LI1a8fSYjsWvqN1hxNo1knK0bqnvR2eCx3/0Fu+q2pGDr5ce2oLMKrgLgjl4Ks9dqly8M+675nQt9fauxz6G/oz1jFP9/RkR8ihxzn4Ums5X6KWoG2oPyn+cA6+tfvDMm3nS+Xgy9eM1JIIIGBQUm8wbaELkVsQMJh8WkzrDHm+FqMX3sz67gzlcII8V7/W8q3RCcoxieK5+rWWbzjQt15Hvj2zXIfnRG3RTqb489DyJXmuPZhM8WSX1ha+4zX1fy+0eXRGVn3R8OWe6rK2o5TeyTWZ4s9Hw9fL1uY/+PPi9Edrhy18fXtoHbLuqz6HTzxafc4cfEO21jaN9lvft3Pw7TsD337OH9LaBV+nhS/Xnr7aBc+D1jnHcRa+1JbQp8E4g6gMFytfqqlWPQ51h8419frMwZfzZ1LbQW2vccnBt0YuNZ0TAgaF9yZdhNyCgAGcIU4vcqRxTgec+Rxkl+rgnI5Z8qVWhQP9vjtBmEzJp6/TqAnO5jjlcDLbOvFm4Zu7LeNnOrs9TKZ0zz7UndXnbHKrN25KPrBFf8ODhZMP1msrrH9a+yFb7du11N5cfGthm7sPc/HN3a5Z1Qf/rHvyOcdxOfSXaw/GGUt6kIOv16hwLNfX+5s/H1qH97rUc8rJ19qW0fOqZTsn31qY1HgeCBgU3qt0IXLLvAcMOOdjlpOuXHv66gzldua9/lpuKjU5QaHDoZ1E8Vz92sK3toF+yNgymZKDL9VRG2PPJdfaor+52lBKPXgDqdue4O7X8B/yM89ph3PZh1rscOgTWf3NHHzDhyFSPhuRX/vKqjEH37LOSN+anHbBt8LKtxa74HnkHsdZ+VK7QpuVOvHrz62UdU49zsGXuNSmx3ROOfzhXHxD37GGN2WIsXXJxdfaDsh3RwABg+7YZqmZLkJumfeAAZwhTivypOV0gnyLrDeTmpwg8PVa0d06HJhgMqU71jlqttqHHG0opY5w0o3aNcvJbDp+7uuJ6pzlAv9hOvTDtzg0v19ALc1pH8Lrq6+T2rnY5uSLyRT+usqpv/wR+pWa+36Sg28tdsFrQs5xRg6+1K6axnF0Prn0OBdfalNtehyeD51jqj+cky8dP1e/U101LLn51sCkxnOY64DBnj173N69e93KlSsXByQldjBdiNwy7wGDnM6Q52s1erU4Q13dDC18Q6ehr4N80rWcA32vu7QG3yGNLhhb+FLLMJky7B9uy8qXq7OPaeG9DW8g5e/FkDHeQMrPmGrMaYdz2Yda7HD41GXqJErY4zn41sI2ZJNjPwffHO0ooY6cdsGfj5Vvbbqbexxn5Uv9VNM4js4npx7n4Ettqk2PQ19N6w/n4kuMa5nroXPJteTkm6tNqCcvgbkKGFBw4PLLL3c33nij+8pXvuLuuOMOt2zZMvfwww+7ww8/3J188snu93//993LXvYyt2LFiryklbXRRcgt8x4wgDPEaUWetJxOkG+R9WZSkxMEvl4rultjMqU7tl3UbLUPXbRpVnWGAyRMZufvCfgP+ZlyNeayw7ntQ652cec8rbSc55CTb852TYtl18fJybfrtk6j/tw6koNvTWMM6sOc44wcfKlNtTHOpce5+NbIOIc/nJMvMUbAgCgMl9x8hzVjqyQCvQsYfP/733c7d+50T3ziE91BBx0kZvk///M/7lWvepX7z//8z6jMs571LHfllVe6Y445Jlq26wJ0IXLLvAcMcjpDnq/V6NXiDOVygjxXv7bwrYUtsSiRb5ft8v0/zXUXjC3668+9i3b5uvu+zsG37wyo/V3c26heC188GUgE2xcLX6q5pnucJ5VTl618fZtoXYMdzsmWmOTgW6MOE5scSw6+OdpRQh1dXH85+HbRrlnxzn0uOfjWZh9yMs7B1+taznb5Ome1znWfy8m3Nn84R9/m5JujPagjP4FeBQze9a53ufPPP39AYdu2be6FL3zhYL9p49prr3VnnXWWu//++5uKTKQffPDB7uKLL15822Aic4oJdBE2LRQ08BfpvK3DG+LjvvQ9N2see3dsd/efceqgu+jHcB677Yszb1cqlx+f+KTBOdAGvepegn6V2q5Uvj89/blu3707Bozpu87Ljzhy5npSC1/qj9uedow7cuXwLbFn3H6Xu2v3IzPV41rsQ6q+o3zafbpE+3D0qv3cl48/emCztj+8xz39q3fO9Hqy6BX8h0dN5X6z9f+sdc9+zKMHenPGt+9x1+98aKZ68/AtN7kHNp49aBN93vDgS6+cCo+cftTPznml23PrzYPzoN/pWXnSM2d6HqcctL/7zLFrBm264YFfuA3funum/W2xEzn7C+0Y3gfhn3Vvf0v150ttl+b6hB53r8fwh4d2s/T70eDGj40qCfQqYHDOOee4yy67bNAR73vf+9x555032Oc2HnnkEfeUpzzFfec73+Gyo2mf+cxn3IYNG6LluipABoJbNDe30o1NSvtKdTpKbVeKvsAJ6tYJwiRKt3zJjmAypT9OZordT7Fjfa23xMls4l5quzT9XOp9utR2aa872OHu7PA/rDvcvfxxjxkMD95854/clf/fzplOzj/0kQ+6XZduGbRp1elnugPf+TczDWJo7INW3yEn03fYBRkniz5hHIdxBhnivgdtS/U7S23XrO93g5s/NqojUH3A4B/+4R/cm970Jrbj9ttvP3fUUUe5++67zz344INsmeOOO87dfvvtM/tNA7r4uYUciXlecr2m5hl6I+v3NetaXrfM/X1nYmnlW9MrgOCrubrSZHJ893L0iFb9pbp2XbxlYjLlgM0Xjh5mbrdz8K0FXu57G3HJwTccIFl/ZHWW/ZWbcQ6+tfgPo/0a2mGaQNbYvBx8fbvCNml/RNHXN6t1zu8o5+JbC9vcfZqLb+52zaq+UE+sv9OTg29t/lnOcUYOvqRrNY3j6Hxy6XEuvtSm2vQ4h6+Wky8xpqUmf3jpjPT/u+Crbw0kuyJQdcDgoYceWvytgx/+8Idj/H7zN39z8XNDz3jGMxwFDfbt2+e+973vuauuusq94x3vcPRWwuhCQYc3vvGNo0lT26YLkVvmPWCQ0xnyfK1GrxZnKJcT5Ln6tYVvTU5QyFc7ieK5+rWFb9imvk6ieBY5J1N8nRa+VEdtjD2XXGsr31ztmHU9Xdzb6JwsfGu5t/m+7YKxhS+1qzbGdE6hHabPNB6y9TrKSl6sfP0BwwkI62Slr3fa69wBphx8w0kU+tzisjVrp42myOPl4FvkiSkaFdqFHD6wlW9t/ll4PlY7Z+VLalLTOI7OJ6ce5+BLbQr7ve9juVy+Wi6+xLhGX43Oy7Lk5GtpB2S7I1B1wOCmm25y9APGo8tLXvIS97GPfcw9+tHD76qO5v/3f//34u8d3H333YPkX/mVX3Hbt293K1euHKRNa4MuQm6Z94BBeFOEM8RpiS4tpxPkW2C9mYT93WcnKORrmUTJxbeWSRTPA5MpnkQ/1lb70I+zlLUy1wBp9GhWvrUNkML7CfyHUW3Jtx3aYaqZvrW/34nrkw5i1V9/MK49fX5TJpetyMG3C7/G91vf1zn49p3BaPvD69DqA+fgW1uwK7weLUGZHHyp/8P7bp/HcXQ+ufQ4F19qU216nOMel5MvMa7NH6Zzsiy5+VraAtnuCFQdMLjiiivcq171qgE9mvD/wQ9+4NasGf4o1yBzZONTn/qUe+lLXzqS4tzXvva1xd9CGEucwg5diNwy7wGDnM6Q52s1erU4Q7mcIM/Vry18a3KCQr7ERzOJ4rn6tZYv154+T6J4HjkcTV8XrbV8STa0V9YBMtVZ22LhWxOL8D5iGeiPcrHwDdvU94F+eD3mYGzhS/1UG2Ove6Ed1rK28qX25GqLP7dZr0M9ttxXrHxDtn23Ebn71so3d3tmXV+oL1Yf2MI353U0a67++KFfb7ENVKeFr29TTeM4f0659DgH3xr1OPSLZuk/+D4P24R7XR774PliXSaBqgMG73rXu9z5558/IP/a177WffSjHx3sN23QZPwJJ5zgvvKVrwyKXH311e5FL3rRYH9aG3QT4ZZ5DxjAGeK0Il9aLifIt8jiDNXoBIV8tU5QDr652+LbNOt1Tr2x6C9xCBnDwRzXDivf8dr6vZdTbz0JK1+8geRJ8msrX6q1xskUOq9QnyktdXIwB9/wqUBNO0impCX0g6ltmrdlrHxz9HFJXHO3xco3d3tKqC/UGcuEtpVvrf5ZeF6pdtfriZUv1ZOzv327SljnOK8cfIlF2N81jDNK4uv1rTZ/2J+Xdp1Lf7XHh9x0CFQdMHjNa16z+Pkhj/Jf/uVfHH2SSLL89V//tfuLv/iLQdH3ve997rzzzhvsT2uDLkRumfeAATEJb45aZ8jztRi9HDc1344S1l2cj5Zv2M81OkHU57PQ3xonUfz1k2syxden1d/wWsrR175NNa21fGtiQOfC6a3VNlC9Wr5ce/AGEhEdX7R8qZbQRlgmz8ZbVcZeeA9fccJ6d9AlVyQ1zsKXDpSjDUkNnlLh8GlHre5Y+IYTKNYHIKaEbqqHsfCdakOndDDuvqIJdvnmavmGtpfqy3G/9e2a5To8N61toHPQ8vXnH9rfGsZxdG659NjKN+xralsNeszx1ZyXlS/xpIVrTw3+8NLZ6f/n4qtvASS7JlB1wOB5z3ueu/baawcMb7jhBnfyyScP9ts2/umf/sm94hWvGBR53ete5y677LLB/rQ26CLkFgQM8g6yrcauNmeIuynCmeeuRH1aqDOaSRR/dK3+5myDb0tJa0ymlNQbzW3R6m9zjf3OCa9L6wSchW/utpTSM+EAG5Mp3fUMF5hOmTCy6C+dVajDlKaZdCC50hbOV0v1JSx8Obb4seNxLbHwHa+prj34Z932J2cbNOM4q/6G91o661rsL52LVY+tfKkNNQdtw3tMqj+cgy8xpsXalqVa6vqfk29dZOo6m7kKGNx5553u6KOPFvXg9ddf757znOcMyr7gBS9w11xzzWB/Wht0IXILAgZ8pFfjDHm+WqNXqzNkdYI8V7/W8K3ZCbJOoniufp3KN3R8qJ6anHg6H27AlDqZQvXQksqXZDjGmEwhMpOLhu9kLXWkdHFP0fDlbFQtNoKzDfAfurt+Qn+CjjSNoAGnw6kTDt1RyVPzrou3uF2XbhmrLIUtCWrsg7VPxxpc+Y6Gb+VI4J9NoYPDa1QbGLfob83jOOpCzpdIHWdY+NY+zsjhD1v4+suU8yVq8Yf9OWrXOfhqjw256RCoOmDwu7/7u+5zn/vcgORPf/pTd8ghhwz22zY++9nPOgoS+OXFL36xox9DnvZCFyG3IGCwRAXOEKcdedJyOEG+JZqbSe1OELEJ9ZfSUgf6JJPKl3N8aptEIS60YDJliUPJ/1P1t+RzydW20P6lDkBH26Hlm7MNo+0pZTu0v5hM6a5nyJ/YufFst+/eHYODEO9Vp5/lVm/cNEjjNrT6y93ntH3MtauUNGK765Itbve2q8eaJPUlNHzDa4cObLFRYw2vbEfDtzIEjacD/6wRTZaMHOM4i/6GPgSdVI0PzVj02MKXs8NSu59FwaZUSahHKfcaC9/R07O0YbSe2rZz8a2NS23nU3XAgCb5r7rqqkGfbd++3a1du3aw37ZBP45MnyHyy8aNG91HPvIRvzu1NV2I3IKAwRKVHM6Q56sxeuENhOqqyRmyOEGeq1+n8J0XJ8gyieK5+rWU77xMongu1skUX4+UL5Xn9DfFwfXHnKd1Ct954MJdp5aBYCpf7t5W29NU8B+meyVxvKkFkmB1Dv2lY9Wmw3ROtHC+BKVL7zspfDnbUGMghvjlWlL45jpmH+qBf9Z9L+UYx2n0l/ODLT5M96T0R7DqcS6+UnuvP9PZSFr9YQ3f0TPl7nm1+hKj5y3dtvKVHgflZkeg1wEDwrZ8+fJGenv37h3L+9rXvuae8pSnjKU17bz1rW91f/M3fzPIPv/8893mzZsH+9PaoIuQWxAwGFKBMzRkkXvL6gT59qTcTDgns1YniPgQ4/vPONWjGqwlkyi+sJQv5/RQHbU7PsQ4fLqVzluqV1K+VCfHGJMpRKZ5SeHbXEt9OZwt1Ay4U/lyg7MUe9SnnoD/MN3e4nSLWkA28oDNF7r9Tlw/0aAU/aX66boZfZPBVzgP9znOlyC2q1+/ya3acJZHMbaW8qVPQ9CbDPPIdgxY4o6Ub2K11RSHf9ZtV1rHcRr95XwXqb/dLY3uatfqsYbvPI4zOJ2S+MMavqNawvkstfrDo+ct3bbylR4H5WZLoPcBgxR81113nXvuc58rEjnuuOPct771rUHZrVu3utNPP32wP60NuhC5BQGDIRWrM+RrSjF63I2rVmdI6wR5rn4t4TuPThDx4RwSSm+bRKH80aWN7zxPonhGpMeayRQv38aXymAyxZPSrWN8dbX2W4qzvWQTJJ9xCc9cypezRXTMQ7ZeF1ZZxT78h+l3I6djvhXkR9EnisLAQUx/qU4K/uy59WZf1di69mCBP1nOZvi8Nn+ijW/bva2tTn9crNM/GzlvzOCfddvjTXZBOm5tsw9hy+d1HEcctHos5dtmi2u/x3E6LPWHpXxDXeZ8lZr94fD8pftavtL6UW72BHoVMDj33HPdRRddpKa2bds298IXvjAq/+Uvf9mdcMIJg3J0Ifzwhz90j3/84wdp09qgY3MLAgbjVLgbCZWAMzTOSbundYL88WI3k3l2gjwjzjHxeU2TKD6/iS8mUTyhpXWTnaDctomPJr4k16a7bXWSLJYlAm18551Rk+1NecJJypcb6BP/eRyI0nnDfyAK3SxttpiOSLaTggYrF56KP+2009wXv/ltt2zN0idFSXbvwm8h0HrPQqAg/Hb/aIupDw/cfMFAdjSv1m3iwv2mgT9fz3bFAl9i+msnn+Lu2v3IYnYq24MuucJXi3UDAan9bRCfm2TSPe5NUALQ5ku18YV/NlQf4qt5aKaN77D2dl+4dh9ilEOqHkv4Qo+XCDfpcJs/LOE72n9+e179YX/+0rWWr7R+lCuDQK8CBvQDxmeddZZ74IEHkukddthh7rbbbnNr1qyJyr785S93//zP/zwoR28l0NsJs1joQuQWBAwmqTTdSMjRbHsd29cUM3ptN+x5cIZSnSDP1a85vm1M2wYIvs7a1m2M6Vz9QJ8mUWhZvqDbfhLl6FX7ue/eeD0mURbJNP8jximTKZ4x6e/eHduTJqowmdLcD2EOZx/CMvO63xRMTLGRbXyp/nn9jIvXKfgPnsT01jFbbG1J2ySCte7S5Ynt7q1Xu12XbumkqfPMVgO0zf5q6qtVJmYTvA/sg13wz9I0gfgiKJPGTFM6VY8RtJVT1vjDKfYX/rC8L3zJFL5eBut+EehVwIDQ7t692/3sZz9LokyKTAEDWseWRx55xO2///5uz549g6If//jH3ate9arB/jQ3mtqMgAHfC3CGeC65UlOdIDjz6eRjjNNrHJfAQH/ptWFMpozrxSz34GzG6TcNkkgSbyDF+UlKwH+QUMpfhrj/fPN5jZ8TSj3iPL5V0MQotz9B/gM9gOMfVGg6LtKHBHB/G7KQbJHOwj+TkNKVidmEMCiDyWw9Z+ixjl1MKsUfltpfqhOfNYyRn8yX8p2UREqfCPQuYDANuO973/sWf7+ALoKnPvWp7k//9E/dsmXLpnHoiWNQG7gFAQOOylJaqjOESe1mllwOnHmOSv404oxJlPxcR2uM2YrRspJtTKZIKPFl4HTyXEZTSV+bng6kcn6gjzeQRqmlbcdsgmeMJ1zTuEpK+3selW36LYKmeny/YDKbJ0RsaUKEJrDAlmfUZSrub+l0Y7Y4tUb4Z0NixBaT2UMeXW5Bj7uhS1yl/jA+a9hNH/hacX/zJOpdI2BQeN8iYKDrIDhDOm4pUnCCUmjpyxJnChzQgoG+nmObJDHGZEoboW7z4GzK+ea2u+GR8QYS3kAKdWIW+94m028UXPvJK91zjn2S27fwuwW0UHBg2RPWuuVrltYrTlo/8SPJs2hzX445ynbvPTvcD266wR25csVi80O2qzacibcJjB2L+5sNoNdXBLtsHDnp3P4EgjIc5aU06HEzG21Obv0N2wF/OCQyuY/72ySTGlMQMCi8VxEwsHVQ7psJnKHJ/oATNMmkqxTPmiZRaKC/7967B5Mo2x/e49Y989mYRDHCb2OMyRQj3BZxOJ0tcJgs0lO8gcSAyZhEjNt+7yT1UPAfUokNy8M+DFl0sQW+XVAd1gm+QxaWLfhnFnrNsp4rgjLNjHLmeN5+LIegrY0u8YQ/bGNokcb9zUKvH7IIGBTeT3QRcgs+ScRRaU7zN2c4Q82McuR4zt4JGp3QxmRrDsJ8HbhZ81xypYJvLpJ8PeDLc5Gk+oESlcUbSBJi6WX8fQ3+Qzq7HBKwDzkoNtcBvs1scuSAbw6KzXWA7//P3rsAb1JU99+d3YV1uXuJCTeVUsEQYxRI1rxi4iVGU2GNQIxGrHiJsEbjahIVyn8pi5b6QsSKGxUBo5VEyKtRVCDRqK+JCaGyVUCiaFSCJggLldcbgrgu7G7e3/kt/Vz6OTPn9Dk9zzM9z3eqdmem+5ye7k+fOd3TZ+b5NbOx5MTxLj7HYTHbQlGvA/vVs5IkMR+WCJXPh/2WZ9rHEhEw6GOvTNSJbkRuQ8CAo6JLSydDWNTWcfNKYVDxEmzXB992Pt5c8PUSbNcH33Y+mty2sQ1fIGkIyjJtjBEUl/lZJeAfrOR0euCr42SVAl8rOZ0e+Oo4WaXA10pOpwe+Ok45UpNzNfysYQ65fFnYbz6z2jQQMOh5j9FNYVqprAAAQABJREFUyG0IGHBU7GlwdnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZ1aSJgEHPe4tuRG5DwICj4kuD0/Pxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfH78atBEw6Hkv0U3IbQgYcFTsaXB2dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tnVpImAQc97i25EbkPAgKPiS4PT8/GTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fvxq0ETDoeS/RTchtCBhwVOxpcHZ2dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2dWkiYBBz3uLbkRuQ8CAo+JLg9Pz8ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx+/GrQRMOh5L9FNyG0IGHBU7GlwdnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZ1aSJgEHPe4tuRG5DwICj4kuD0/Pxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfH78atBEw6Hkv0U3IbQgYcFTsaXB2dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tnVpImAQc97i25EbkPAgKPiS4PT8/GTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fvxq0ETDoeS/RTchtCBhwVOxpcHZ2dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2dWkiYBBz3uLbkRuQ8CAo+JLg9Pz8ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx+/GrQRMOh5L9FNyG0IGHBU7GlwdnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZ1aSJgEHPe4tuRG5DwICj4kuD0/Pxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfH78atBEw6Hkv0U3IbQgYcFTsaXB2dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tnVpImAQc97i25EbkPAgKPiS4PT8/GTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fvxq0ETDoeS/RTchtCBhwVOxpcHZ2dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2dWkiYBBz3uLbkRuQ8CAo+JLg9Pz8ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx+/GrQRMOh5L9FNyG0IGHBU7GlwdnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZ1aSJgEHPe4tuRG5DwICj4kuD0/Pxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfH78atBEw6Hkv0U3IbQgYcFTsaXB2dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tnVpImAQc97i25EbkPAgKPiS4PT8/GTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fvxq0ETDoeS/RTchtCBhwVOxpcHZ2dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2dWkiYBBz3uLbkRuQ8CAo+JLg9Pz8ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx+/GrQRMOh5L9FNyG0IGHBU7GlwdnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZ1aSJgEHPe4tuRG5DwICj4kuD0/Pxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfH78atBEw6Hkv0U3IbQgYcFTsaXB2dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSVeZu/tt4VdV10R9t5xW9hz+47V/d47doQ1hx+5qrDm8KPChz77ufCiF70o7L/p9LDfiRv5gpBqJgD7NaNTKYKvCpNZCHzN6FSK4KvCZBYCXzM6lSL4qjCZhcDXjE6lCL4qTNULIWDQ8y6kG5HbEDDgqPjS4PR8/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUIjfPvu3572H3d9rDr6o+tBAh2jDMURxRIoKABggcKWBkisN8MWAZR8DVAy1AB3wxYDaJtwdtbbrklHPPEJ4W1R+wL5ML/NkA0JsN+jeCUauCrBGUUA18jOKUa+CpBVSyGgEHPO49uQm5DwICjkpc2Ofn8/F9fHp587CNXFwcm3xzE5DOPaZM0BpMmMvnpk3bb9MYr7Dafa5sG7LeNTl4e7DePVwlp2K+OItnmzku2rQQKrtAptEjFwMGGs7aENUcc1SKJLIkA7Fci5MsHXx8/SRt8JULN+TF4u/PSbc1CDTnRByN40ABImQz7VYJSiGH+q4BUWAT26wfaZrcI1vr51lACAgY97yVydNyGgAFHRU7D5FNm1JUEBm072Wi3eOPVztCrCfu1E4z2i4d+O0OvJuy3neDOi7cFi322lxpWf7qIvjg4cOsFkijyWwjAflvgKLPw0K8E1YEY7DcPKs0Z7r3qY0WCt3Tl9aechq++8rpgShr2O4Uj6wTz3yxcnQjDfvOxRrvFukM+uyFqIGDQ814lJ8dtCBhwVJrTMPlsZjOPHAzWNsp449XGrbQW7NdGFH7Xxq20Fuy3nehdZ50Rdt+wvVGIFpvobxWsO2ljWLvyk0P0xQD5Ztr2rPxk0Yue+YzwvtM2tZax7oSN4aCt5+Nrg0bKzRmw32Y2Ug4e+iVC3efDfvMY37P19cUCBZNXjl8cIHg7SUU+hv3KjDgJzH85KvNPg/3mMce6Qx6vZZFGwKDnPU2OjtsQMOCo8GmYfPJc5p2KQTuPON54zePVtTTsN48w/G4er66lYb+zhOmBnuyU+zsFtMC/ftNpK/9On1VkUojvnh23BiqT/kgyF4CgBStarMIfRmYACkmwXwFQko2H/gTIgk9hv3IHkO+keS/nO6N2U/D2mGOOCTdfe81qILfJ/8YyyA8fcvFlCN5GIIo97FcBaUIE898JGD04hP3qOgHrDjpOyyiFgEHPe52cHLchYMBRmU7LmXw+43XnhH/62k0zbw7SQxcmn9NcLWcYrPOo5b7xuvbIo1cXq+gq9Marxm7xxqu+T2C/elY5fje+sW2xXzz06/sE9jvLiuz07s1nzGSQXdHfHdAGCqgAju+ulZ/ToL+HkAYjEDSYQS4mcHxFpSUWwEN/vzof9iv3R5M/Jk0peMvxpTkwldn0/Gbx83IrhinB8R1mS/2twvzXz7B0CbBfHdHcdYf4pW1OsBbrDrq+6KMUAgZ97JWJOpGj4zYEDDgq4zTL5LNtUMHkc8zWetTG11rm0PTIbq1vvHJ8NXaLN151VsTx1Wkuj5TF70Y6HF+N/eYu7sbrLdue47tsDCbbe+emX5lZzKeHmUMuuWxSTH3M8SX75f6IMoJdaqwjQY7vKBMHIwJ46B+h6NUB7Le5O5rmDeSPN2zeovoiq40vBW+5wAGCBs19kua08U1ll/W8yY6JB4Jei7UK2G8zf8+6Qyx1kq/muQ3rDpFcPXsEDHreV3QTchsCBhyVfWlNg3bb5HPS2TWXvC8Hk0+J0Gx+Dt9Z7eVIabJbzUONhi/eeLXbkYavvfRhaDbZb5vfjS3X8IXfjbTy9xq++aXWq8EtqtJPXVh/27qNLz080WJV+geV6b6wBifqJW+reRtfW4nD0/I89HN88dBfzkY4vuVKr7uktnmD1j9q+CJ4a7cTDV976cPQbLNjKeil4Yv5r91ONHztpdet2WS3mnWH2PI2vlh3iJTq3yNg0PM+pBuR2xAw4KiE1U9QuZ8Z0Dyctzm99GqYfKZE5PMcvnJpw5PwvvGq4Qu7tduNhq+99Lo1myadGr8bW67hC/uNtPL3Gr75pdanwf22sCdYEAlIfLmfiSlx3Xj9oe8lvkNvf1v7mvwvHvrbqM03D/bL8+bmvQeee37WT8JRyVq+tIB1z3lnT1WG7hP8TYMpJDMnWr4zikuQ0OR/Mf/tT+fDfvm+4Pxvjt3GUtv44rktUqp7j4BBz/uPbkJuQ8CAoxIC5/w0k882Z8dfaV8qJp9tdMZ5Vr7jEoZ95H3jNYcvDd544zXPnnL45pU8DGmr342tz+ULvxvJ6fa5fHWl1idFvu/OZz9lquKWh6OpAlZONHy5hyYsVKUk+XMNX15zOVI5/5tj1xq+nP0SXdiwbGMavnIpw5Pg5r0Hr/wx4tw/Cp/Ll5s/IHjbbF+5fJtLGmYO53816w6RRi5fzn7hhyPN2X0u39kShpnC+V+LH9TwxbpD/TaEgEHP+5BuRG5DwGCWCuf8ciafGqc3e9Wwsvg6+8aKxelyZQ8pzcp3SAy4tpR64zWXL9545XqjOS2Xb3NJw8rx+t1II5cv/G4kp9vn8tWVWpdU6mvpIfuwq75QpBEavvTQdNfKH1qe/EPImCvo8Gv46koalhTnfy02peGLh3677Wj42kuvT5N7K9tit7HluXy5+W/O82K87rLsc/kuCxfO/1rsKJcv5r95FpbLN6/0+qTTuTC1YB7+l/O7nuvWR77eGiNg0PO+IyfHbQgYTFPxTj69gwnnBC2ThulWDefMy3c4JKZbQg/gJd54tfCla6d/kBNvqUz3Tzyz8I26Q957/W5kY+ULvxsJtu+tfNtLrSuX87U5bwG2tTaHb/qgTz4XfwCuja7uC472EoaZW+qhP8d+iSTnd/HQ32xjuXybSxpOTrrQmvNFTErBwpfGgx9uPTvsvmH7qDhPHUaFDPDAwneAGGaahPnvDJJeJsB+p7uFmwt7fF8OX6w7TPdFTWcIGPS8t+hG5DYEDKaplJh85ji96auHgMlnSmT23MN3trRhpKQP/J43Xi18yW7xxqvOlix8dSXXK1XC78bWW/jC70Z68t7CVy61HomSvpZrdQ7f9L7BYitHdDoth++05jDPyPeVeNkg0snhS9fGywaRnG6fw1dXYr1SadCUWuJ9wcrCl1vw9daj3l5pr7mFb3uJ9eem4/i8Fl0jOcx/Iwl5D/sdM+piLpzDl+wW6w7j/qjlCAGDnvcU3YTchoDBmEqJyWeOsxtfefoIk89pHpNnJfhOljeEY+6B3/rGq4dvev/gjddZ6/LwnS1tGCmp3VCrrA/bHr7wu7I9efjKpdchkf7OsNXXcq3N5ZveO55AMVefoaXl8h1a+7n2lHzot/DFQz/XK3yahS9f0jBSU9v1Bkw9fEvXZRg9NN0KD9/pkoZzlo7h1DLMf/vZv7Dfcb+UXHeIpVr4pvcP1h0izf7uETDob9+s1oxuRG5DwGBMpdSEz+L0xrXYd1SqLmm5QzgvwXcIHGIbUlvxLhp5+KZvyngf4GIbh7T38B0Sh9iW1H69NuPhW7ousY1D2nv41s6Be0h60HU3F21WDl+uPtbFhqKN6HFhOXx73IwiVePsxxsAs/DFQ7++Oy189aXXJfm9kx41VeHDrvzHsOaIo6bSck+sfNN7yTsPz613LfJWvrW0L7eepeecHr6l65LLogZ5D98a2qetY2orpfydhS/WHbS91g+5pQ4YfPe73w2f/OQnw86dO8Ohhx4azjjjjEBG36etqT4IGIx7qcTk0+LsxjUYH2HyOWYxeVSK72SZtR+XfOPVy5d78C/1x0Br7yeqv5fvEBikbSjhd2OZXr7wu5Ekv/fy5UutJzX9zXVvcCttuYUvHpZSis3nFr7NpdWfU/qh38MXdizbk4evXHpdEtwXgd7grZdvasMI3k7blJfvdGnDOMP8t55+hP2O+6rkukMs1coX6w6RYB37pQ4YvPa1rw0XXnjhqKc+85nPhGc84xmj8z4c0I3IbQgY7KNScvJpdXpp/2DymRLZd16KL196XanpAifVfpEPTVx98NA0bVOw3zGPkn43lurlC78bSfJ7L1++1DpS0wVW79vYXKtz+aYPS6WDGFwda07L5VtzW6W646FfItS/fNjvvj5JffGGM7eEDZu3uDvMwxe+WMbv4SuXXpcE5r919RfVFva7729tpn/3yLvuEC3BwhfrDpFeHfulDhi8+tWvDtu2bRv11BVXXBFOPfXU0XkfDugm5DYEDPZRKTX5tDg7rl8oDZPPWTIl+c6WXl9K6TdeS/BNF1yxgDW2qxJ8x6XVf1TK70YSJfjC70aas/sSfGdLrScl9W2lg6EWvumig+cPJtbTE7aaWvjartR/Le4h2/vQ7+HL1af0/dX/XmmvoYdve8n15aZzhxLBWy9fzB3a7cjLt730+nJTG/YGvUrwhQ0321EJvs2l15NTet0httzDN52bY90hUu3fHgEDBAz6Z5UZNUoHbs/k0+P0JquMgXuSxvi4FN9xifUelbTbSMHLF3YbSfJ7L1++1DpTYb/19dsy22/6RnaJ38xOLSCXb7rQWuq3ZNN6DeU8l+9Q2p22Aw/9KZE6zmG/+/qpK1/s4YvgrXwPefjKpdclgflvXf1FtYX9htCF3UZLsPLFukMk2P99VQGD++67L3zlK18pRvWCCy4If/3Xfz0qj36e6GlPe9roPB6sXbs2PPaxj13I3zegm5Db8IXBPiqlJp9WZ8f1DSafs1RK8p0tvb6UNKrufSOvBF/YbbMdleDbXHp9OaX8bmx5Cb6w30hzdl+C72yp9aSkvzfsfSM7bbmFLwIGKcXmcwvf5tLqzuniod/LFw/97Tbl5dteel25pecO1HovX/jidhvy8m0vvb7c0jZcgi/mv812VIJvc+n15JRed4gt9/CF3UaK/d9XFTB4y1veEt70pjcthOqnP/3p8MxnPnPu16YbkdsQMNhHpeTA7XF6k32EyeckjfFxKb7jEus9Kmm3kYKXL+w2kuT3Xr58qXWmwn7r67dltt+uAwZkDRa+86hXfZbK19jCly+p7lQ89NfZf7Dfff3Wlc/z8u2qXnVa62ytvXxnS6w3BfPf+voO9htCF3YbLcHKF+sOkWD/91UFDE4//fRAf2dgEdv73ve+sHnz5rlfmm7Cpo2CBvEmXdZ9Osl78PXfCH3g0td6Laud9K3dfbSPPTtuDZN/EIl+IuOBV/9TL+6nvvXfstenj/ZLfr+v9Vp2e1l0+7/4uEeEo/dfN5pKPeHGW8Itu+5b6PwJ/hbzV8t98f1TfjnsvWPHyJbp57XWHnn0Qsfph6/fL/zbzz18VKdb790dfv5L/73Q+6sPzwGW/h16vftov9RP3z3xkSP7pQP6Cg399xML9St95d/XeWZf69XXfly2enVtH1MOVHmCgIESVA/EqgoYPOMZzwif+9znFoLtoosuCi9/+cvnfm1yaNw29Emltn2YfOKhu8ZBv68PJ32tl9YfQG4+/gB+dz6cYc9lOP/gzBeE3TdsH02l6Cfg9j/piQtdDDn5kAPClcceMarTv9z947Dp67dhkWplzgu7b7b7rh/6LfMpBL+a+8vCc8j2f9VxR4UnHfyAkd979k23h2vu+tFC/d691/1ruHvzGaM60R+gP/TSy+GH8FIia5eY/8Lf1ejX5/F8P3KiGQfpnKb0T4ZmVAWiLQSqChg8/elPD5///OdbmtNd1sc//vHwnOc8p7sLNJRMTonbaEKJLYRSn2dH51+CKX6TbZZiSb6zpdeXUvrTwBJ8EelvtqMSfJtLry+nlN+NLS/BF3430pzdl+A7W2o9KV387vtk6y18u/rjtZP1Gsqxhe9Q2p62o4uH6xJ8u6hX2vZaz0vwrbXtab1Lzx2ofC9fzB3SXpo+9/KdLq3+s9I2XIIvbLjZrkrwbS69npzS6w6x5R6+WHeIFPu/rypgcMopp4S//du/naJKf4yY/q7BIYccMpWuOaGvBj75yU+ORM8666xw6qmnjs7jwbp168JTnvKUQPt5b3QjchsCBvuolBy4PU5vso8wcE/SGB+X4jsusd6jknYbKXj5wm4jSX7v5cuXWmcq7Le+fltm+53HH2XN5ZsGMTacuSVs2LylPsOaU41z+c6pWnO/DB765468yAVhv/swpn5v/SmnhQO3XuBm7OGb1gm+eLY7PHxnS6s7BfPf+voP9lvuBVuu9618se7A0exnWlUBg7PPPjtccMHsxOLwww9fTX/hC1+YRfnVr3512LZt20iH/j4CFzAYCSzggG5CbkPAYB+VdKJnnXxanR3XN2mdMPn0vwHEca45LbWRA889P6zfdLq5SSXsF2+8NuMvwbe59PpyUvu1+t3Y8hJ80zrB70a68L9dv8Vksd/0jWz6Lfo1Rxw17jQcjQhY+I6UB3aAxar6OhT2O+6zNHhLfyvrsKu+MBYwHHn5pkE473zc0IReq3j59rpxhsqlc03Mfw0Q56gC+90HO7XbUn7OwxfrDnO8EZyXqipg8L3vfS+ceeaZjX/4+OSTTw7vfve7w8///M+rsCBgoMLUa6GSk0+P05uEhMnnJI3xcSm+4xLrPUrt1jvhJBJevulkAguu0/bl5TtdWt1nqf3iob///bns9tvFQutkr+fw7eL+mazLEI9z+A6x/bFN6TiNh/5Ipt972O++/kmDt5RKf1NmvxM3ujrQyperD35De7YrrHxnS6o/pYvx28sX6w7tduXl2156Hbmp3ZZYd4gtt/JN5zNYd4hE+7evKmAQ8X32s58NW7ZsCV/72tdi0mi/du3a1T9O/Ja3vCU88IEPHKVzBwgYcFTqSuMme5bJp9XZpbS4+mDy6V/MTjnXfp7aiXfBtYT94o3XZqsqwbe59PpyUvulFlj8bmy5ly9XH/jdSBf+l0ikD0tenzumm883DV7gIWmS5uyx1z/MllhvSmrHJR76vXzx0N9uT16+7aXXl5v6P68Ne/iWrkt9vSHX2MNXLr0+CW6+iflvf/sR9ruvb1K7LTUH9vDFukN/75u0ZlUGDKgR9913X3jXu94V3vzmN4e77747bVd4yEMeEt72treFl73sZatv3s4IrCQgYMBRqS+t1ITP4/QitVJ1ieUNaV+C75B4pLbimXASFw/fdBGi1ERiSP3l4TskDrEtqf3ioT+S6ed+2e03fViiXir1djaVpeWb+lrS9fp+KmPom5bv0DmkdlxqrPbwxUO/bHUevnLpdUl04QMtfNPfzyaK8MW8LVn48iUNIxXz37r6Efa7r79Suy3l7yx803Gg1FymLsusp7bVBgwi4jvuuCO8/vWvDx/60Idi0tT+pJNOWv2Zoo0bZz93RMBgClW1J6nToYbkOkGLs0uBYfKZEhmfl+A7Lm0YR6ndegZLL990EoE3XqdtzMt3urRhnKX2S63K9buRhIcv/G6k2Lz38G0utb6c9E1oj8+dbH0O3/SnA7yBtsl6DPU4h+9QGUy2Kx2vrX43lunhm44Dpe6pWLch7D18h9B+rg2pDa87YWM45JLLOFExzcq3ZB3ESlYsYOVbcZPFqqd+jxSsftjDF/NfsavUL3PIJdUvkdptifHaar+p/8W6Q7/tq/qAQcR7zTXXhD/4gz8IX/ziF2PSaE/G/JKXvCS8/e1vDw996ENH6QgYjFBUf5A6Hsvk0+r0IrwSdYhlDXHv5Ts0JumbgtQ+zxuvVr7pBILqYZ34ku5QNyvfofKgdpX0eVa+Jesw5L6y8h0SE87nWuYKHBMN39RWqRz8sWOO5myahu+s1jBT0jEbD/3972fY73QfcQudngWjXL6cL8a8d7qPJs9y+U7qDvU4tSHPXMLKt2QdhtpP1C4r36Ex4ebAnnWHyCeXbzqHoXLgfyPNfu4HEzAgvHv27Anve9/7whvf+Mbw/e9/f4b4YYcdFs4777zwyle+MtDfOkDAYAZRtQneyWeus0tBpYM25cP5jSl5+Y5LGtZRqTdePXzxxqtsUx6+cun1Snj9bmy5lS/8biTYvrfybS+1ztydF28LOy/dNlV5z0IVFaThm/p60vNel8pYhk3Ddxk4xDaWfui38sVDf+yR9r2Vb3up9eeW8om5fLl5C770aranXL7NJQ0rh7Mjy5hu5Yv5r86erHx1pdcnlfpd7wsHFr5Yd6jPbgYVMIj4v/Od74Q3vOEN4f3vf3/43//935g82v/cz/1c+LM/+7NwxRVXhG3bxg+OdH7qqaeO5PpwQDcit3Ht4uSWKS11gtT2nMHb4vToGtykAZNPIjO9WflOlzKsM+7B3/qWioUvN+HEG6+8jVn48iUNK9XrdyONXL7wu5Gcbp/LV1dqfVLkc3desi3suvqKqcrnzBWmFO8/aePL3SNWP89dexnS2vguQ/vTNqY2hYf+lFC/zmG/s/1BvviuzWeEvXfsGGWSHa8/5fSwYfOWUZrmQMuXmzd47x1N/WqX0fKtvZ259U/9MOlb5hK5fDk7xrpDc+/l8m0uqf6ckusOkUYOX6w7RGp17QcZMIhdcN11163+TNH27dtjUuseAYNWPL3P9Ew+c5zdJAhu0Mbkc5LQvmMr39mShpdS4o1XC99SE93h9chsiyx8Z0sZZorH70YiuXzhdyM53T6Xr67UeqU4m6XWWBfx2/hyD0eYI+TZThvfvJKGI13yod/Cl7NrvGzA25eFL1/S8FI5O6ZW5ix+avlyNkvXwtfgRKF50/JtLmG4OdxcIjfolcsX8988e8rlm1d6ndIl1h1iy3P4Yt0hUqtvP+iAAXUHvYn/wQ9+MJxzzjnh29/+dmsPIWDQiqeKTM/kM8fpEQxMPvNMIpdvXun1SpPNlnjjNYcvN2hbF8vqJZ9X8xy+eSXXL+3xu7H1Wr7wu5FY3l7LN6/UeqWbbJYe9jectSWs33R6VuNSvvRzLeTXJ9+ejQVigSqS0O9TvnrN4Uriob+evoX9NvcVtwBK0uSLD9x6QdjvxI3NyvfntPGl8mnOC18sYmwUaOPbqLQkGU1zCQS9+mMAsN/pvii17hBL1fDFukOkVed+8AGD2C133nlnOPfcc8N73vOe1b91ENMn9wgYTNKo99gy+dQ4u0gEk89IQr/P4asvdTiSNHinn2ZT67SL+Dl8uQVXvPHabks5fNtLGm6uxe9GGhq+8LuRVv5ewze/1Po1mvwutcy6WNUWKMgps3665VoA++VZlnroz+GLh36+L9pSc/i2lTPkvKb5A7WZ5sH0E0VNgYMmvlQmBdV238D/ygACtzqLauKr014OqSb71Yz5Gr6Y/9rtSMPXXnq9mk3zX+26Q2y5hi/WHSKtevdLEzCIXXTjjTeGV73qVeELX/hCTBrtP/7xj4fnPOc5o/M+HNCNyG34GwYclXFa0+BNEk2TT8npYfI55ms5kvhayhySDg3edz77KTNNogmn5o1XiW/bQhYenGawzyRIfGcUljDB4ncjpia+8LuRkG/fxNdXav3aTYuusWXkf2mhat3KvzVHHBXWrpzTnjbS3bPy+9u0//MtrwjPf/DBUW1mn/sQNlPAkifAfnkDINvzvGwQS9XwxUN/pJW/1/DNL3VYGk22HFsZffH+93/9NemLH75+v3Dztdes+uLdK4GC9G/UxDJoT774oK3nj/z4ZB6OeQKwX57LZCrmv5M0+nUM++X7g3yuZ90hltrEF+sOkVD9+6ULGMQu++hHPxouvfTS8I1vfCPs3bs3/PRP/3T4yEc+Eo46at+DYJRb9J5uQm5DwICjMp2WM/l86lOfGv7pazeNJpCkGxcCMPmc5mo5axpMLGUNWafNZtveVGnj2zZgt5U5ZM65bWvjm1vW0OXbbJjazj30rz3y6NWfD4Tf7cY6YL/tXMnudl11Rdh56bZ2QWNuzk8TGC8xaDXYb3v3kv16Hvolvm1zCLxs0N43lCvxlUtYHgmyZe4nOksRgC/OJwn71TMj++UCuLEEzH8jifntYb/trNtsVrNGwPFtmzNoymyvMXIXQWBpAwaLgG25Jt2I3IaAAUdlNg2Tz1kmi0rhBpVF1aXP15VsNk440zdeie+eHbdmBboOueSyPqPoVd1gv/rukGxYXxIviYd+nktbKuy3jc6+vNJ2S3ZKX4fFLxLkGkCiiQDst4nMvnSy3aaFKs0DOscXD/3tzHNyOb45+ssmS/b8w61nN/6cUC4PfFWQS2xaHvY7zaPtrPQ8Ir0W5r8pEfkc9tvOSLLZpnUHKpV0f/kxx4b/97K/CpoXbLHu0N4Xfc1FwKCvPXN/vcjJcRsCBhyV5jRMPpvZzCMHg3UeZbJXvPGax6xLadivjS78ro1baS3Ybx5Rslv6eQHywU2/f91UYnywQqCgiVB+OuxXx4zstu3t7GibeNlAx7OUFOzXTjLOIagE+GI7R48m7NdGL9purt02XQ1BryYy7emw33Y+MZfsFesOkQb2KQEEDFIiPTsnR8dtCBhwVOS0OICTZO4gHh+2sBAgc+YkMGhzVNrTyF7bFgDatWdz8cbrLBNtCuxXS2pWDn53lsm8U2C/NuJkuxQ8oDen9ty+8vcK7rht5d+O1cJoTrDm8JW/a3DEkeEtl/x5eNt1X8TXBDbMohbsV0S0KkD2iod+Hat5SsF+/bTbfPGt9+4OxzzxSau+mHzyupM2Nv6RZH9Nlq8E2K+9zzH/tbMrpQn71ZMke8W6g57XskgiYNDzniYnx20IGHBU8tImJ5+f/+vLw5OPfSS7EIDJZx5XThqDNUdFnxZtFW+86pmVlIT9lqMZbVlagIXfLccc9luOJVcS+HJUyqWBbz5LPPTnM+tKA/bbFdl95YIv+HZLoFzpmP+WY6ktCf5BS2paLtoq1h2muSzrGQIGPe95cnTchoABR8WXhkHFx0/SBl+JkC4/DuKaBdf1m07DG686rKIU7FdE5BIAXxc+URl8RUQuAfB14ROVwVdExArE+QIe+lk8c0uE/XaLGnzBt1sC3ZYO+wXfbgn4So/ziKZ1h3++6Rvhab/zgtUvbrHu4GPdV20EDPraM/fXiwYRbkPAgKNiT8NgbWen0QRfDSW7DPja2Wk0wVdDyS4DvnZ2Gk3w1VCyy4CvnZ1GE3w1lGQZ6aE//rwW7fHQL/PUSsB+taRscuBr46bVAl8tKZsc+Nq4abXAV0vKJge+Nm61aSFg0PMeoxuR2xAw4Kj40uD0fPwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHrwZtBAx63kt0E3IbAgYcFXsanJ2dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752djVpImDQ896iG5HbEDDgqPjS4PR8/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18evBm0EDHreS3QTchsCBhwVexqcnZ2dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2NWkiYNDz3qIbkdsQMOCo+NLg9Hz8JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx68GbQQMet5LdBNyGwIGHBV7GpydnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnY1aSJg0PPeohuR2xAw4Kj40uD0fPwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHrwZtBAx63kt0E3IbAgYcFXsanJ2dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752djVpImDQ896iG5HbEDDgqPjS4PR8/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18evBm0EDHreS3QTchsCBhwVexqcnZ2dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2NWkiYNDz3qIbkdsQMOCo+NLg9Hz8JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx68GbQQMet5LdBNyGwIGHBV7GpydnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnY1aSJg0PPeohuR2xAw4Kj40uD0fPwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHrwZtBAx63kt0E3IbAgYcFXsanJ2dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752djVpImDQ896iG5HbEDDgqPjS4PR8/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18evBm0EDHreS3QTchsCBhwVexqcnZ2dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2NWkiYNDz3qIbkdsQMOCo+NLg9Hz8JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx68GbQQMet5LdBNyGwIGHBV7GpydnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnY1aSJg0PPeohuR2xAw4Kj40uD0fPwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHrwZtBAx63kt0E3IbAgYcFXsanJ2dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752djVpImDQ896iG5HbEDDgqPjS4PR8/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18evBm0EDHreS3QTchsCBhwVexqcnZ2dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2NWkiYNDz3qIbkdsQMOCo+NLg9Hz8JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx68GbQQMet5LdBNyGwIGHBV7GpydnV2quff228Kuq64Ie++4Ley5fcfqfu8dO8Kaw49cFV1z+FFh7RH7jvffdHrY78SNaRE4zyQA+80ElikOvpnAMsXBNxNYpjj4ZgLLFAffTGCZ4uCbCSxTHHwzgWWKg28msExx8M0ElikOvpnAMsXBNxNYpjj4ZgLLFAffTGCViiNg0POOoxuR2xAw4Kj40uD07Pzuu3572H3d9rDr6o+tBAh2ZBVEgQQKGiB4kIVtRhj2O4OkaAL4FsU5Uxj4ziApmgC+RXHOFAa+M0iKJoBvUZwzhYHvDJKiCeBbFOdMYeA7g6RoAvgWxTlTGPjOIMlOaHtZ8ZZbbgnHPPFJeFkxm6pOAfar41SzFAIGPe89ugm5DQEDjoo9Dc7Oxo4G6J2XbFsJFFxhK2BCKwYONpy1Jaw54qiJHBxKBGC/EiFfPvj6+Ena4CsR8uWDr4+fpA2+EiFfPvj6+Ena4CsR8uWDr4+fpA2+EiFfPvj6+E1qty1qkxy+wJ+kJR/HlxV3XrpNFk4k4poDXlZMwGSewj9kAqtUHAGDnncc3YjchoABR0VOaxusEYGW+U1K7Lx4W7AM0pNlcMdxED9w6wVcNtIaCGDQbgBjSG7zE1QcJvUGqIIK7FcA5MwGXydAQR18BUDObPB1AhTUwVcA5MwGXyfACXXMzyZgzOkQ9msHHRe18QW+nWGqSUzvvepjRV5WpLLXn3IafuUghZxxDv+QAatSUQQMet5xdBNyGwIGHBU+LQ7WlsXtuHiNCPQ027vOOiPsvmH7dOLEGQ2+tKi67qSNYe3KTw6tPfLosGfHrasSe1Z+sihO+NvKWHfCxnDQ1vPxtcEE16ZDDNZNZPTp0U9gUq9nZpGM9z7+xomFnk0H/sHGTasFvlpSNjnwtXHTaoGvlpQsh/FNZmSRwPzMQq2MDvyDjSP5AnyBb2PXpnXP1tcXCxRMXieu9+BlxUkq8jH8g8xoCBIIGPS8F+lG5DYEDDgq02mIQE/zKHFGTGmw5v5OAS3wr9902sq/09lLcYMKTaioTPojyVzwgAZwGrzxh5FZpFOJHN8pAZywBDCpZ7EUTcTDflGcpsLgH0zYWCUsCrJYOk2E/XaKN4CvnS/GNzs7SRPzM4nQfPLhH/I44wv8PF4aafKzxJVbK4j66cuK9PPG5EOOOeaYcPO116heVqR1h0MuvgwvK0aoij38gwJS5SIIGPS8A+km5DYEDDgq4zREoMcsSh3RYH335jNmiqPBlf7uQFOggBQ0g8mulc8L6W2MNBiBoMEM8pkEDd8ZJSSsTj4tXx5J6MhmKci17G+q4GFfspT55MM/+DnHRUGLv4j+AF8qyv2AYIzMqLQE/IONKMY3GzetFhZdtaS6lYN/yOOLL/DzeGmkm9YfSLerlxWldQ1NvZdBBv5hGXp5ZR1vZeH5f5ejqXW2km5EbkO3cVTC6tvqiEDzbLypd276lZnFfBqoD7nkMlXRmkGl6QGMFlwQ8W/HrOHbXsJy5WJS321/42G/W765pcM/5BLbJ08PqvitXBs7rRaCMVpS3cnBP+SxxfiWxytXGvOzXGLdysM/yHxpHMMX+DKnXImmYAGtP2zYvEX1CwRt9ksvK3K/ckDrDgga6Hqrja+uBEj1nQACBj3vIboJuQ0Bg1kqTYMKSSICPcsrJ4WbvNOnf9o3qHMGk/iGYfomZ05wIqdtQ5DN4TuE9nraYJnUt/Ele6UyuQkn1ZMmncv2s1qcv5jss/SzYfyNk0k65Y/b7Lf81YZTIr5U7LYvyW8iGNMtY03p8A8aSmMZjG9jFqWPMD8rTdRfHvyDzJDsFl/gy5xyJZq45qwHaOwXLyvm9sxYXsN3LI2jWgkgYNDznqMbkdsQMJim0jaoIAI9zSr3jFs0yQkWxOvlDircG1yW68brD32fy3foPLj2NfkJzZskGr7L/rNaxBdvWHGWt/g0jf0uvpb9qAHZce6Xipag1zJ/OcfNK0r0PjHFz8Hlk4R/kJlhfJMZeSQwP/PQ61YX/qGdL77Ab+djzeW4Hnju+a0/gcxdS2u/9Ax3z3lnTxWxzPO0KRAtJ1q+LUUgq+cEEDDoewchYCD2UNMkExFoEZ0oQFH3O5/9lCm5HK5R0TKYcBF/DNyR6PTewne6hOU44yafGnvO4cvZLdEduu02+WFqt/RZr4bvsgdjPHeohq+n/CHpNtkxtZF8xfpNp808rLbxJX9AZbZ9gSTdH0Pji2BMv3q0zX77VdPF1abJL2B8K9cnmJ+VY1myJPiHdprcF0c5L7fl8KX5BM0lluELfI7rwSt/jJheCMjZcvhSuVzQIKc/c+o2BNlcvkNo8zK2AQGDnvc63Yjchi8MxlS4SSYi0GM+nqP0LUB6ODrsqi+YirQMKjQ5umvlDy1P/iFkDNw8fgtfvqRhpnKTzxxbyuG7TJP6aC2cH9YEY6K+hi9xpT+MvuvqK6La6n7owZipxhpPNHyNRQ9GrWlRkOxY+lJRw5ceRLnAgWbRcQiQm/hS25qCMbHdHF/yBwjGREK+PcfXV+KwtDG+ddufmJ91y9dbOvwDTzB9RiapnOeKWGou36F/gc/NFSxcS/K1BCvi9Ye+z7XfofMYYvsQMOh5r9JNyG0IGOyjwk0yLU4919ktQwSaHsbTrwssgRjqqVy+kzafsqbFlWX7TfhJHtyxhy9X3tDSvJN6K9+hT+qjnXB+OGdyn8N3GYMxkbN1n8PXeo3a9bgHVGqTJuiVw3dZg15tfBGMWezdk2O/i63pYq6O8a1b7pifdcvXWzr8A0+Qe0bWzBfS0ix8uXnEkF6cSX2uhWvkbOX7w61nh903bI/FqOaCI+ElOrDwXSI8g2kqAgY970q6EbkNAYOw+mZZ+keGchapUq65To9bDLQEK9J69OU8ncTTZMT6dQG1KZfvJId08uDp58lyh3Ts4TskDmlbMKlPiZQ9T/0ElW65P3Ptl/O/luuWpdHf0nL59rcl3dSMe4M4J0CeyzcNhFOrhvTAP9lLbcGCQy65bFK08VjDl1tEoQKHyrURliFDw9dQbPUqGN+67ULMz7rlW6p0+IdZkqlv8DwjW/jSvTPEL/C5uZF3bcXCl5u3eOsxa0XDSLHwHUbLl6cVCBj0vK/pJuQ2BAxCSBeREYHmLMWeli6g5CyepFf1DibpBMIzMUvrNoRzL98hMGhqQ4lJvYfvUCf1xBsP+01W1690j/32qyXd1CadS9BVch4MrXzTcY2uO8SgVzqXoHbmzCdy+XJcETQg6vyWy5cvZXipGN+671PMz7pn7L0C/MMsQc435IxpkyV6+KZjHY1ztX+Bn/oE75zIw7d0XSb7fSjHHr5DYbAM7UDAoOe9TDcity17wCAdJIlRzgM+x9Ti9IYageYmQw+67mYOmzrNwjcWztXH29+x7KHsPXyHwiBtB2c3mNSnlOzn6WTaE8iz2C/17xDfsLL3SLOmhW9zacPJ4cZwywOqlS/3pcyQxjZvMCZaWi5fbo5o6dd4/aHvc/kOnQe1D+Nbt72M+Vm3fEuWDv8wTbOkb6CSPXzTMbb2ce57Jz1qCvZhV/5jWHPEUVNpuSdWvqmP8jzj5Na5Jnkr35rauOx1RcCg5xZANyG3LXvAIB2svQOkx9mVrgvX3/NOSxcxFsk3tn1ok6LYrhJ7j/2WuH5fy0jvTetkrwTfodlvOpEmG0Awpp93Qgn77WfL/LVK70vLl4oevnQfDfW3chGM8dvnPErw2O886reIa2B865465mfdMy5xBfiHWYrpV3PWuS+V7OWbBsetzzmzrZx/CjdnWOTLikQgnSMO6YWOEj3std8SdUAZ3RNAwKB7xq4r0I3IbcseMEAEmrOKcmnpRN4zGYq18g4q6aTIG8SI9RrK3st3KBwm24FJ/SSNssepj/A+pHjsN53QwzfM9rWH72xpw0hJxxRqlfVh0MOXe0i21qNPPZPel5ZgTGyPhe+QgzGRS6m9hW+pa/exHIxv3fcK5mfdMy51BfiHMUkumLjIRW2uPrXOH1K/u+HMLWHD5i1j+MYjj/2m80Q8X8x2gofvbGlI6SOBpQwY/PjHPw7vfe97w7XXXhtuuOGGsHv37vCQhzwkPOEJTwgnnHBCeMYznhGOPfbYXvQX3YTctswBA+7hepGDNfVP+mBc62Adba10e0oMJmm/exYfYjuHsi/BdygsYju4SbTVT5Tgy9WnZj+Bh/1oaf3fl7Df/rcyv4bpw6n1QbAE31J1yafQjUb6kE1Xsfo7D9903uCpRzekFl+qh+/ia99NDTC+dcM1lsrNhzA/i3T6tYd/mO4PfIE/zaPkWToPwsuKJel2Uxb8Qzdc+1Zq1QGDO++8M3zpS18KX/7yl8PNN98cDj300PCoRz0q/OzP/mx4/OMfz7Levn17ePGLXxy+9rWvsfmUuH79+nDBBReELVv8Uc3Giygz6EbktmUOGKQDCiLQnIX40tKHpUX+hmBsSfqA4X2jOfvCxLkAAEAASURBVJY7lD0G7emexKR+mkfJs/RepLKtD/uxXh775epjXZyM9Rna3sN3aCxie0p+qejlm9pw7eNbOk+zBmNiX3n4lq5LrNOQ9h6+Q+JAbUnvRUrD+EYUym2Yn5VjOY+S4B/GlNPxBIvaYzbeoy7WHqhOHvtNXzrAy4qzvezhO1saUvpIoMqAwd69e8OFF14Y3vjGN4Zdu3axXH/lV34lvOUtbwlPfvKTR/n//u//HjZu3BjuvffeUVrbwSmnnBL+8i//MjzwgQ9sE+s0j25CbkPA4IoRFgzWIxTFDtKFlEU+LMVGpQ9xtS+oxHaV2GOwnqVYclJfim/61q13EW221fNJwcP+fDiXukop+y1Vnz6Ukz4EUp2s41wpvqW/7Fsk53QO4XnpwMsXc4d2S/DybS+9vlyMb933GeZn3TMudQX4h2mSpcfpEnzT+Uyti9pdBAy8fDF/mLb/9MzLNy0P5/0kUF3A4O677w7PetazVn9OSEJKRnz55ZeH5z//+YF+huikk04KX/nKVyS1qfwzzzwzXHLJJVNp8zyhNnDbMgcMuhhQiLHH6Q1lsI62lj7sWxdSYnlevrGcLuoVy65977Hf2tvO1R+Teo5KmbSSD/uxRl77HUowJvIovffyLV2fRZeX2rD3S8USfIdiw+l8iPraO4fw8i09Hizafktf38u3dH0WWV7qG/BSUvneKH0/lrDf1G/Vuuhavrd8z8dd1GeRZXaxBuG136Esanf1jO/l21W9FmnHJa/t5VuyLiirGwLVBQzOOeeccP7556tp7LfffuFzn/vc6t8q+MM//EO1XhRcu3bt6s8eHX/88TFprnu6CbkNAYMdIyyeN9diIV5nN5TBOvIoPSHy8qV6DY1xZF1iX4JviXr0qYySNlyK71BsGA/7fbJ0uS6l7Fe+Uj0SJRcFS/EdSsAgZYtgTL/vi1L22+9W6muH8U3PyiqJ+ZmV3Pz14B+mmZdePC7BdyjPFiX9Quy1EnxL93ms2xD2JfgOgcPQ21BVwOCb3/xmoIX7pp8hauqsX/u1X1vN+sxnPjMl8rSnPS0873nPW/17B/T3EOiPIP/Jn/xJ+NGPfjQlRz9NdNVVV02lzeuEbkRuW+aAQVeO2+v0uqoX1/9dp5V+YKL6evni7Z/2XvfybS+9vtzS92MJvpjUN9uRl+9Q2DYT8uV4+fqu3j/t0g+mJfgOZYxLAwZ4Q7t/9p/WqIT9pmXWel7aNxAHL9+hjW+Yn9V1d3jtt67Wtte2tO3S1Urw7aJe7STK53ax9uDlO5R5WfneGpdYwn7HpeGojwSqChi87nWvC+94xztmOD796U8PFBR4wAMeEG688cbwqU99KuzYMX4DfUZhJeG1r33t6pcKa9asmcr+z//8z3DqqafO/HTRLbfcEh72sIdNyc7jhG7Cpo2CBvEmXab990/55bD3jnH/0hcGa488Oiyax3dPfORUV9En+LX2y3uP+anw/AcfPGrPH/z3/xcu/85dC23Pj973rrDz0m2jOtHvvx903p8svN8XbXe4Pu8H+3o/9rVeOXaUPpg8+PpvLPw+3LPj1nDns58y8g/0N04eePU/LbxeOVxrHS9qrHcf5xEPX79f+Lefe/jIhm+9d3f4+S/990LHXYv9fvFxjwhH779u1I4n3HhLuGXXfQttx73X/Wu4e/MZozrRz40ceunl8A9L+hzRZtcY336i8/uir/OgvtarzV5rHH9rbk8fx7ehzH9/cOYLwu4bto/G6YMvvizsf9ITO/dHbfZ48iEHhCuPPWJUp3+5+8dh09dvW+h8pq2+i/IHI0A4GCSBqgIGmzZtCldfffWoI2ix/7LLLlv9GwWjxJUD+lqA/vbARz/60cnk0fFv/dZvhb/5m78ZnacH27dvD7/0S7+06qBi3mc/+9nwq7/6q/F0bnu68bmtj85iXk7qquOOCk86+AEjLM++6fZwzV0/WqjzHtrD6I+v/Gi457yzR4z7sDifBjEuuP374f++/bsL7fdlvg/ndb9br4NJfXcP/X19qO5rveAn+KDeIrn0cVGQePS1Xjl+GMGY/tl7Tv8t8r7sQz37Oo70tV4We8H8rLv5maU/+nDf1VJvLGp3N76lz/n/z3fvDq/4r/9Z6HP+D899Xdh19RWj9RD6icUDXv7qhQYx+nq/jiDhYHAEqgoYPOYxjwlf//rXR53w6le/Ovzpn/7p6Dw9oD+O/Pd///dpcvi3f/u31Z8hmsmYSPjt3/7tqaDCe9/73vD7v//7ExLzOSSnwG00sC7r1sUna9H5WpkO7ZO10p8/e/lSv6QLKSX+doW1v/umV4Jv39rkrU9JP1GK71D8ROmfbCjBt7TP8tpfn/RL8O1Te0rUpaQNl+SbjnPePxZcglVuGaXbUIpv6XrlcumrfCm+fW1fbr1K+ga6dgm+QxvfMD/LtcrFyZew38XVvvyVS//kXgm+Oy/eNvMF/oFbLyjf+I5LTP+OE30pfNhVX3Bd1cs3HQ9K/MSiq0E9U/by7VlzUJ0GAtUEDPbs2RM2bNgQ7rvvvlFT/uu//is84hGPGJ2nB/TzRI9//OPD3r17R1knn3xy+Od//ufRedPBu971rvCa17xmlP1Hf/RH4cILLxydz+uAbkRuW+aAQTpY09vvJQZGj9NL6+T9I39cn887reSEnuru4dvFJGLePLu+nodv13VbRPnpPemd5JXgO5RJfWnfQPbh5TuUYExX94qXb1f1WlS5pW24BN+h2HD6gF0iuF+CLwIGzXdbCb7NpdeVU9o3UOu9fIfiG6IlYH4WSdSx99pvHa3U1TJ9Hi2xBuHlm95Pta5BpIFR6hH6WaL9Ttyo65wGKStfrj41vsTRgKVYspVvsQqgoM4JVBMw2LlzZzjggANGQCh4cM8996xOwkaJzMGTn/zkcM0114xyzjrrrHDxxRePzpsO/u7v/i78xm/8xij7N3/zN8MnPvGJ0fm8Dugm5LZlDhikgzUi0JyF+NNKcvYOJukDXK2TIX+v8CV4+fKl1p2a2q9nUl+K71Am9Wk7EIzp971Syn773cq82qVjiuehtBTfoSwKlmRLvVqC71DY5lm5TroEX92V6pDC+NZ9P2F+1j3jUleAf5gmmS4ie9cgSvBNg+ElgvTTrZ7fWTp/8Dy7Ua09fEvXZX4U53clD9/51RJX8hKoJmBADT3kkEPC3XffvdpmbcDg937v98IHPvCBEae3vvWt4Q1veMPovOng85//fKA/phw3+vsJV155ZTyd255uRG5b5oBBOlgTH8/DfuRrdXpcfYYQgeba5VkYtPJNHyxK9Xfs96HsrXyH0v60Han9YlKfErKfp/ekd0JPNfHab7rIg6DidP96+U6XVv9Zai9eGy7BN61TrTacPmQvcn4WLRUBg0iC35ewX77k+lIxvnXfZ5ifdc+45BXgH6Zplh7jPHxTf+V91plu6fzP0vZQDbxzCAvfdM5Qoh7zpzmfK1r4zqdmuEopAlUFDI477rhw0003jdou/SQRCb797W+fChD81V/9VXjhC184KqPp4IMf/GB46UtfOsqm4z//8z8fnc/rgG5CblvmgAHxSAfrRT7sl64L19+LSksXMKwTEc9gkv68gbevF8Wyy+t6+HZZr0WXnd6b1klnCb7pJNh6Ly2aKV0fD/t96AV9HUrYr/5qdUiWvB9L8U3HOk+AfpG9kM4bvGN2Cb5pnWoNxnTRryX4dlGvRZWJ8W0+5DE/mw9n71XgH2YJ9mn+kN5HQxjb0jatO2FjOOSSy2Y7QpFitd+SdVBUs1oRK99qG7ykFa8qYEA/CzT5lj8t6r/4xS9u7bqLLroovOIVrxjJfOQjHwnPfe5zR+dNB//n//yf8La3vW2Ufc4556wGH0YJczqgG5Hblj1gkA7WxMi6GBj5Wpze0CPQ6YMTsbIO3Ba+6YBN16/5U0uqf1ebhW9XdelLuamf8CzSe/mmtlz7pD5tzyL8b7Szkv0cyxza3mu/Q+PBjW0eG/by5epT65eKXdyPXr5DCcZ0dR96+XZVr0WVi/Gte/Il/YTXftP+rn1+Vrr3vHxL12fR5XHjtSfAb+Wb3kPExTOPWTTXeH1ubcVzT+byTf3BULhGvqX3uXxLXx/ldU+gqoDBJZdcEjZv3jyicsIJJ4Trr79+dM4dWAMGj3vc4wL90eS4aYITUbbknm5Cblv2gAExSR26dSGbyrI6u5J1oHr0cUv/UCvVMXfgtvBN3wi0XLePPLuok4VvF/XoW5mlJvVevkOc1KdtQjCmb9Y/ro/XfsclDesoHb+tb8KX4FuqLn3oIc7vehYxvHy5+tQajOmif718u6jTosvE+NZ9D3D3pWXR1Wu/aV9Tyz3+qnty872Cl+98azu/q6XPqNY5sIdvGgi3zmHmR01/pZQvaeauPZBOLl8uWDEkrsSk5JbLt+S1Udb8CFQVMLjjjjvCwx72sLB79+4RIfrjxL/+678+Ok8P3v/+94czzzxzlEx/uJi+VGjbKFBAAYPJTfPzR5PypY7pRuQ2BAxC4Jy6ZTCJfHOdXvqAT+UMcZJJk/qdl2wLu66+IqJa3eeyzuHLTRQ8AaGpig/0JIfvQBGwzUptCZN6FlN2YqmH/Xhhq/3iYT8SbN9b+baXWnduSdvx8OXmMrXPJdL5kfeB28O3dF3qtnq+9h6+fIl1p2J8m0//YX42H87eq8A/zBLkfIT1OdXCNx3XqIZD+gKf+N61+Yyw944dI/j0/Lb+lNPDhs1bRmmaAy1fbi5mfWbU1GsoMlq+Q2nvMrajqoABdVD6R4yPPfbY8KUvfSmsX7+e7b977rln9Y8ef/vb3w4Pf/jDw4te9KKwbt06VjYmptd49KMfPfW3E6LcPPZ0E3IbAgb7qKSTTUrNXcgmnVxnxw0q3gdiqkdfN27gprpqJ0c5fLlJEAbsdsvI4dte0vByS0zqPXw5ex7KpD71v9b71MN3yG9YlbobPXxL1aGv5aT3p3ZMm2yPl2+JOkzWpw/HCMb0oRd0dfDar+4q9UlhfOu+zzA/656x9wrwD80E8QV+M5sSOZx/oHJz1lu09pvOw2L9a395I7ajq72Wb1fXR7nzIVBdwOBb3/rW6tv/P/jBD0aEtH/IeKTQcvDNb34z0B9XnvyK4YILLgive93rWrS6y6IbkdsQMNhHhVvIRgSasxh/WtPATbw3nLUlrN90eutFpEGFFhjoS4bJtwligRiwI4nmvcS3WXP4OZjUd9PHnE+wLLhS7Sz2y03whxKMKd1jFr6l69DH8rjg/zxeOogsOBseyniXts3qG4iV1X5L1iH22RD3Vr5DZBHbhPEtkuh2j/lZt3xLlA7/wFMkH4Ev8Hk2pVK5ORqVTWsPB269IOx34kbxUm32S+VTcBhrDyLGRoE2vo1KyKiKQHUBA6J7zTXXhHe+852BggYHHHBAOPfcc8NJJ51UBPyb3/zm1fJiYQ996EPD17/+9XDYYYfFpLnu6SbkNgQMxlS4ST3lIgI9ZlTqiFinnwjGstsG77bBpC1Q0FZmvC729sWUZWHnndS32W8Tw/TtRJLzLJg1XWfR6XjYX3QPyNe32K9c6nAkuHs1J2hg5cs9COfMW/reA1z7crjG9ln5psECKm8owZjIpsTeyrfEtfteBsa37nsI87PuGXuuAP/QTq/puVg738/hy41p9Jx82FVfaK9k5bncXCI2iTjTTxQ1BQ6a+FKZ5N9337A9FjW1x1xhCkfjSRPfRgVkVEmgyoBBl6Rvuumm8Bd/8RerwQgKErzgBS8Ixx9/fJeXbC2bbkRuQ8BgmkrTYJKz4Nzm9Kh8RKD3MW+a3MceIeY0cK9b+bfmiKPC2pVz2hPfPTtuDXtWfo+Qyti9wjT9uwixDNprJ1uTOst83Ga/y8wlth2T+kii7L7JH+QuDObYL7fAC3/R3q85fNtLGl4u5xtoHMv5rdxcvtycZYgP/ty9musbyOJK8B1SMKb0XZjLt/T1+1oexrf59Azng+nK2nE9x36XddHV05M5fD3XqVWX7PfOZz9lpvo0puML/BkspoQmHxELi2sP+9//awdx7YHyH75+v3Dztdeo1x4O2nr+6rpFLBv7dgLwD+18hpCLgEHPe5FuQm5DwGCWCvcAHqUQgY4kyuxp4N511RVh56XbyhSYlIIH+wSIcIrBWgB0f7Z1Uq/l2/a1zJDfVmmayONhX2eXXUtp7bfrevS5/CbfoBmLcvlyC1bEZog+gvMNCMb0607Itd9+1b772nA2TFfF+FaWfZMPlhZdtfa7rPMzby9p+XqvU7t+k5+gdpENN/18ThvfNpttK7N2lk31J8bcT0A1yeema+Z7uWUOXb7Nfofe9mVqHwIGPe9tuhG5DQEDjkpYjR43/WQOadAAS2+/IwLN88tNLT1402BNb2PQFwnY8ghg0NbxwqRexylXirjiDatcavOTh3+QWTe9dKB5MNfwXdYvFZt8Q87DuYYv9fAyBWNki9ZLaPnqSxyWZJMNk2/AG8Tl+hrzs3IsS5YE/6CjSfbbtqAd1yDwBb6OZ5MUcf7h1rMbf06oSa8pnYK/+KqgiY6cDv8gM6pdAgGDnvcg3YTchoABR2VfmjRgN2vqcnIecnUl1i9FzGkxhL46aPo9wKZWxgkUAgVNhOR0DNYyo0kJyUdEm4yT+kf9XyeHW3bdt1oE6eJntSZpjo+JTVPAlpjiDasxq3kewT/oaTcFDaiEpi8VJb5U5rL/Vm4T1za/EHtN4ktyVD5+NjISy9tr+OaVOExpjG/z6VfMz+bDWXsV+ActqX1yZL/4Aj+PmVWaWFPggDasPVgp+vTgH3z8atFGwKDnPUU3IrchYMBRmU6LA0nuIDJdyvgMEegxi7Yj4k4P7/Q3CvbcvvL3Cu64beXfjlUVWhxYc/jK3zU4Yt9+/abT8DVBG8yMPAzaGbBWRDGpz+OllSaueMNKS2t+cvAPetZkw02BLyolBhQnv1Rce+TRgeZlpJsTUFymt9qaggbEtCkYQ3m0NdkvlbnswZh9hHz/N/H1lTo8bYxv8+lT4oxF1/mw1lwF/kFDaVpG8hXT0vIZvsBvZ0S8m9Yebr13dzjmiU8arT2sO2lj4x9Jbr8KcjkC8A8clWGlIWDQ8/6km5DbEDDgqPBpNIggAs2zmVcqBpNuSYOvnS8m9XZ2TZrEFA/7TXTmnw7/kM+8tF9Ia7CsXyoSVwRjUmtY7Dn8Qx5/jG95vDzSpf0wFl3zewP+IZ/ZpAbZMC1k4wv8SSrzO4b9dssafLvl25fSETDoS0801INuRG5DwICjIqfFgZt7+x0RaJmfRwKDioeerAu+MqM2iegbMKlvo5SXh4f9PF5dSsM/2OiSDeO3cm3smrRK+4X0OssajEk55JzDP+TQ2idb2o6xmN3cB8Qai67NfLrOgX8oQzjaMbcGgS/wyzDmSoH9clTKpYFvOZZ9LQkBg772zP31opuQ2xAw4KjY0+Ds7Ow0muCroWSXAV87O04zndT/17/+Szh6/3WropjUc8Ta0yJPBGPaOXWVC//gJ0s2jC8V/RwnS4hM8bORk1Tmfwz/4GOO8c3HL1c78o6Lrpif5RLMk4d/yOOVKw2+ucTy5ME3j1euNPjmEqtTHgGDnvcb3YjchoABR8WXBqfn4ydpg69EyJcPvj5+kjb4SoR0+enDPv7GiY6bVwr26yU41s+xYfxW7phb0xHxRDCmic580uEfynDO8Q34G15lmFMpsN9yLLmSwJejUi4NfMux5EoCX45KuTTwLceyryUhYNDXnrm/XnQTchsCBhwVexqcnZ2dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnapZs6CK4IxKT3bOezXxk2rBb5aUjY58LVx02qBr5aUTQ58bdy0WuCrJWWTA18bt9q0EDDoeY/RjchtCBhwVHxpcHo+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+NXgzYCBj3vJboJuQ0BA46KPQ3Ozs5Oowm+Gkp2GfC1s9Nogq+Gkl0GfO3sNJrgq6FklwFfOzuNJvhqKNllwNfOTqMJvhpKdhnwtbPTaIKvhpJdBnzt7DSa4KuhZJcBXzu7mjQRMOh5b9GNyG0IGHBUfGlwej5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr41eDNgIGPe8lugm5DQEDjoo9Dc7Ozk6jCb4aSnYZ8LWz02iCr4aSXQZ87ew0muCroWSXAV87O40m+Goo2WXA185Oowm+Gkp2GfC1s9Nogq+Gkl0GfO3sNJrgq6FklwFfO7uaNBEw6Hlv0Y3IbQgYcFR8aXB6Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjV4M2AgY97yW6CbkNAQOOij0Nzs7OTqMJvhpKdhnwtbPTaIKvhpJdBnzt7DSa4KuhZJcBXzs7jSb4aijZZcDXzk6jCb4aSnYZ8LWz02iCr4aSXQZ87ew0muCroWSXAV87u5o0ETDoeW/RjchtCBhwVHxpcHo+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+NXgzYCBj3vJboJuQ0BA46KPQ3Ozs5Oowm+Gkp2GfC1s9Nogq+Gkl0GfO3sNJrgq6FklwFfOzuNJvhqKNllwNfOTqMJvhpKdhnwtbPTaIKvhpJdBnzt7DSa4KuhZJcBXzu7mjQRMOh5b9GNyG0IGHBUfGlwej5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr41eDNgIGPe8lugm5DQEDjoo9Dc7Ozk6jCb4aSnYZ8LWz02iCr4aSXQZ87ew0muCroWSXAV87O40m+Goo2WXA185Oowm+Gkp2GfC1s9Nogq+Gkl0GfO3sNJrgq6FklwFfO7uaNBEw6Hlv0Y3IbQgYcFR8aXB6Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjV4M2AgY97yW6CbkNAQOOij0Nzs7OTqMJvhpKdhnwtbPTaIKvhpJdBnzt7DSa4KuhZJcBXzs7jSb4aijZZcDXzk6jCb4aSnYZ8LWz02iCr4aSXQZ87ew0muCroWSXAV87u5o0ETDoeW/RjchtCBhwVHxpcHo+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+NXgzYCBj3vJboJuQ0BA46KPQ3Ozs5Oowm+Gkp2GfC1s9Nogq+Gkl0GfO3sNJrgq6FklwFfOzuNJvhqKNllwNfOTqMJvhpKdhnwtbPTaIKvhpJdBnzt7DSa4KuhZJcBXzu7mjQRMOh5b9GNyG0IGHBUfGlwej5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr41eDNgIGPe8lugm5DQEDjoo9Dc7Ozk6jCb4aSnYZ8LWz02iCr4aSXQZ87ew0muCroWSXAV87O40m+Goo2WXA185Oowm+Gkp2GfC1s9Nogq+Gkl0GfO3sNJrgq6FklwFfO7uaNBEw6Hlv0Y3IbQgYcFR8aXB6Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjV4M2AgY97yW6CbkNAQOOij0Nzs7OTqMJvhpKdhnwtbPTaIKvhpJdBnzt7DSa4KuhZJcBXzs7jSb4aijZZcDXzk6jCb4aSnYZ8LWz02iCr4aSXQZ87ew0muCroWSXAV87u5o0ETDoeW/RjchtCBhwVHxpcHo+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+NXgzYCBj3vJboJuQ0BA46KPQ3Ozs5Oowm+Gkp2GfC1s9Nogq+Gkl0GfO3sNJrgq6FklwFfOzuNJvhqKNllwNfOTqMJvhpKdhnwtbPTaIKvhpJdBnzt7DSa4KuhZJcBXzu7mjQRMOh5b9GNyG0IGHBUfGlwej5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr41eDNgIGPe8lugm5DQEDjoo9Dc7Ozk6jCb4aSnYZ8LWz02iCr4aSXQZ87ew0muCroWSXAV87O40m+Goo2WXA185Oowm+Gkp2GfC1s9Nogq+Gkl0GfO3sNJrgq6FklwFfO7uaNBEw6Hlv0Y3IbQgYcFR8aXB6Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjV4M2AgY97yW6CbkNAQOOij0Nzs7OTqMJvhpKdhnwtbPTaIKvhpJdBnzt7DSa4KuhZJcBXzs7jSb4aijZZcDXzk6jCb4aSnYZ8LWz02iCr4aSXQZ87ew0muCroWSXAV87u5o0ETDoeW/RjchtCBhwVHxpcHo+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+NXgzYCBj3vJboJuQ0BA46KPQ3Ozs5Oowm+Gko6mb233xZ2XXVF2HvHbWHP7TtW93vv2BHWHH7kagFrDj8qrD1i3/H+m04P+524UVcwpBoJwH4b0RTJAN8iGBsLAd9GNOqMNr97yy23hGOe+CT4XTXNPEHYbx6vXGnwzSWWJw++ebzapNv8MOlh/ttGz5YH+7Vx02qBr5aUTQ58bdy0WuCrJVW3HAIGPe8/uhG5DQEDjoovDU7Px0/SBl+JUHP+fddvD7uv2x52Xf2xlQDBjmZBJocCCRQ0QPCAgZORBPvNgCWI4qFfANRBNuw3H2r0uzsv3ZatDL+bjaxVAfbbisedCb5uhK0FgG8rntbM6Icx/23F1Gkm7LccXsx/y7HUlgT71ZKyyYGvjVtNWggY9Ly36CbkNgQMOCq6NAzWOk4lpTCY2GiSre68ZNtKoOAKWwETWnEBa8NZW8KaI46ayMGhRAD2KxGS8+NDPxZfZValJWC/eUTJVu+96mNF/C5def0ppyFgm9cFU9Kw3ykcrhPMf134TMqwXxO2gPmvjVtpLdivnyjmv36G1hJgv1Zys3qYP8wyWZYUBAx63tPk6LgNAQOOSnNaHKzxhkozo65zMGjnEd558bZgWVyVrhIDBwduvUASRf4EAdjvBIyMQyy+ZsDqUBT2q4N7z9bXFwsUTF4RfneSRv4x7DefWdTA/DeSWNwe9pvHHvPfPF5dS8N+bYQx/7VxK60F+7UTjfMHy3pEnPfiFw7s/PuiiYBBX3qioR7k5LgNAQOOymwa3lCZZbKIFAzWedTvOuuMsPuG7Y1K9MYq/VbrupM2hrUrPzm09sijw54dt67K71n5yaL4FkBbGetO2BgO2no+vjZopDzOgP2OWeQcYfE1h1Z3srBfmS09FNEiVZvPTP0ufalFvvaYY44JN197jcrv0gPUIRdfBr8rd8lIAvY7QpF1gPlvFq7OhGG/eWgx/83j1bU07NdGGPNfG7fSWrBfG1EEu2zchqqFgEHPe5YcHbchYMBRmU7DGyrTPBZ9hkFb7gEaoGmSyf2dAlrgX7/ptJV/p7MFcXxpwYDKpD+SzC2E0eIVfWmAP4zMIp1K5PhOCeBkRMCy+GoJemHxdYRcPID9NiMie7178xmsgOR3o9IkX43fpZ+Ga/LlsUzsxwQm+Y5TcdREAPPfJjKLSYf9ytwx/5UZLUoC9qsnj/mvntW8JGG/eaQR7MrjtQzSCBj0vJfJyXEbAgYclXEa3lAZs+jDEQZruReaFq1oUVRaXNLw3bXym9z09xDSYASCBnLfaPjKpSyHRJMdU+ubFl/b+GLx1W83bXz9pdddQpO9kq1u2LxFFUxt40t+lwvYavx63WTL1b6Nb7mrDKckzH/71ZewX7k/mvywxk9q+GL+K/dBk4SGb5PusqU32TFxwPx3MdYA+9VzJ/vN/dIWL3vp+dYsiYBBz3uPHB23IWDAUQmrb1PjDW2ezaJTMWi398Cdm35lZjGfJpiHXHJZu+L9uRq+TT9RQA9l+JmMdswavu0lDD+36WFJs/iq4YvFV7sNafjaS69Ts81etX43tryNL/xupGTft/G1lzosTbJnzH/72aew3/Z+wfy3nc+ic2G/cg+0zSeklw80fDH/lfugSULDt0l3WdKb7Jfa3xTsimw4vnjZK9IZxh4Bg573I92E3IaAwSyVJmeHN1RmWc07hRtM5l2HPl+PeyOQfi9b+4eJc/jSIE5vvKZ/wCgnONFnll3ULYdvF9evocwm/6uxqxy+WHzNt4Ycvvml16vBLVIdeO752T8VpOVLD/z3nHf2FDAEa6dwsCdavqzykiQ2+V/MfxdvALDf9j7A/Ledz6JzYb9yDzT5X8x/ZXZdS8B+ZcJt9otgl8xvGSQQMOh5L5Oj4zYEDGapcA//msE6lqQZVLBYFWnl7zV880utX4P7rcCcYEEkkMuX+41jy3Xj9Ye+z+U7dB5p+zj/m7P4mssXi69pD7Sf5/JtL63+XG6R6uCVP0Zs/XsuWr6c3cLvyvak5SuXNEwJzv9i/tufvob98n2B+S/PpW+psN/2HuH8L+a/7czmmQv7babdFizQfmmr4Yv1s+Y+qCEHAYOe9xLdhNyGgME0Fe7hP+chXOPs4hXxhnYkod/n8NWXWr8k2dKdz37KVENyHvKjooUvN3jjbddIdHpv4TtdwrDPOP+bs/hq5YvFV51dWfnqSq9PintAypkvpC3O5csFa3Pul/T6Qz/P5Tt0Hmn7OP+bY885fDH/TenL5zl85dKGI4H5bx19Cftt7yfO/+aM51a+mP+290vMtfKN+kPfI9g19B4u0z4EDMpw7KwUcnTchoDBmAreUBmz6PMRBu3Z3kltlxbsD7vqC7OCihQLX3pgu2vzGVN/OyFnoUFRrcGIWPgOpvEtDSm1+Grli8XXls6ZyLLynShiMIfpA74lSJvCyOFLfveHW88Ou2/YPiqmRB1GhQ3wIIfvAJvf2KR0DkGCljE8ly/ndy3XbWzYwDJy+Q6s+WxzUtvF/JfF1ItE2C/fDZj/8lz6lgr75XsknQuTVE6wK5aayxfBrkiunj0CBj3vK7oJuQ0Bg31U8IYKZx39S8sdTPrXgvI14mw35xPWyRp5+KYDNz200d9OsP40x2S9hnLs4TsUBk3tSCecloVPD18svjb1zDjdw3dcyjCOUn9HrbI8IE3SsPDlFhq89Zis05COLXyH1P6mtnBziHn5X7r2zku2hV1XXzGqHr5QHKGYOoD9TuFYPeFsF/PfWU59SIH9NvcC5r/NbPqSA/vle4Kbg1qC/la+3EsHmAPzfdWHVAQMGnph79694atf/WrYsGFDOPDAA8NP/dRPNUh2m0w3IrchYLCPCt5Q4ayjn2nWQaWfrfHXqqTtUm08fNNJr2XS4CfS7xI8fPvdMnvtSi6+evhyE19MPKf71cN3uqS6z1K/W8rXWfh2VZe6e4ivvYUvX9JwUlP7wRva/e1b2O9035S0XSrZwxfz3+m+4c48fLnyhpCG+W89vQj7ne2r1O9ZXjaIpVr44mWvSK+OPQIGDf30ile8Ilx00UWruWvWrAnXX399ePzjH98g3V0y3YTchoBBCHhDhbOMfqZZBpN+tqRcrdLfDbS+XUU18vJNJ76ehYdyhPpTkpdvf1pStibpQ7918bUE31J1KUuoH6WV4NuPlvhr8b2THjVVyGFX/mNYc8RRU2m5J1a+6RwGfpcnb+XLlzaM1NR2qFXWOYSHLzd3wBeK0zbm4Ttd0nDOMP+tpy9hv3xflZpzluBbqi58S+tOLcG3bgKztU/HbZKwvmTl4YuXvWb7pq8pVQcMvvnNb4ZPfepT4cYbb1z9d88994Sf/MmfXP0a4DGPeUx43vOeFx796Eeb2G/atClcffXVI91Pf/rT4ZnPfObofF4HdCNyGwIGIaQDpPdh2+P00kitdeGM6+uhpHn4DoVBbAf3sP+g626O2aa9hy9XH+vkwVT5CpQ8fCtonqmKJRdfvXxTG/aOByYgPVby8u1x09RV4x5OvH43XtzKN507wO9GotN7K9/pUoZzhvlvXX0J+x33VzpWU47XD3v4cvWBHx73Fx15+E6XNJwzzH/r6UvY73RfpfMH75qVh2/puky3FGelCFQZMNizZ0+48MILw7nnnht+/OMft7I46aSTwstf/vLw0pe+dHXAaxWeyETAYAJGTw/xhkpPO4aplmcwYYqrPin97b5FDtYRZrpw5a1TLHcIe9jvbC+WXHwtxTe1YTz07+u3UnxnraCulPTBZMOZW8KGzVvcjfDwTd/0gt+d7Q4P39nShpGC+W89/Qj7ne4rzH+nefT9DPY720OY/84y6WsK7He2ZxDsmmWClHYC1QUMdu/eHZ761KeGa665pr1lSe7JJ58c3v/+94fjjjsuyeFPETDgufQllXsjBG+o9KV3+Hpg0B5zSReurD8lMC7R/wYQFq4mac4ew36nmaQ27F18LcEXNjzdR5NnJfhOllfjcWqzJfxu5GDlC5uNBNv3Vr7tpdaZi/lvff0G+x33WRd+2MsXfnjcP9yRly9XZs1pqQ1j/tvv3oT9jvunZLArlurli5e9Isn+7qsLGNCXBa997WtNRNevXx/e9KY3hde//vVh3bp1rWUgYNCKZ+GZeENl4V2QVQHvYJJ1sQqESw+OJfimkwjPH0CqoAuyqliCb9YFKxBOH5g8i6+l+OKhnzecUnz50utJTd/KLvH3C6j1Hr7wu7L9ePjKpdcngflvXX0G+53uL8x/p3n0/Qz2O9tDmP/OMulrCux3umdS20Wwa5oPzngCVQUMvvWtb4Xjjz8+0N8q8Gz0hcJHP/rR8KAHPaixGAQMGtH0IiN1eJ7Fqtgg76CCxapIkt97+fKl1pnaxcKVl2/61iJ+A37atrx8p0ur/6y0DZfgi8XXZrsqwbe59DpyStvsZKutfOF3Jyk2H1v5NpdYbw7mv/X1Hex33Gdd+GEvX/jhcf9wR16+XJk1p5W24RJ8Mf9ttqgSfJtLrysH84e6+qsvta0qYHDeeeeFrVu3zrA7/PDDV/9Gwc/8zM+ENWvWhFtvvXX1DxbTzxY1/XHgRz7ykasy9MeRuQ0BA45Kf9Lwhkp/+kJTEwzW05TS3w9c5M9pxZrhgSmSmN3DfmeZlHxgKsUXNjzbT5RSii9fej2ppf1ubLmXb1f1ivWrfe/lW3v70/pj/psS6fc57He6f0r7uxJ8MXeY7qPJsxJ8J8sbwjHmv/X0Iux3uq9K2i6VXIIvgl3TfdTHs6oCBs9//vPDhz/84SmOL3jBC8L73ve+cPDBB0+l08ltt90W3v3ud4d3vvOd4b777pvJf/CDHxw+9alPhV/4hV+YyUPAYAZJrxJKOzxqnNfpYcLZbiJevu2l15Vb+oGJWl+Cbxf1qqtnmmtbgm9z6fXllLaVUnxL16u+nuFrXIovX3odqV3MG2LLPXxhs5Fi897Dt7nUOnO6sGMvX8x/223Jy7e99Lpyu/B3Jfh2Ua+6eqa5tiX4NpdeX05pWynFt3S96usZvsal+PKl15WK+UNd/dWX2lYVMHjc4x4XbrzxxhE7+qLghhtuCA94wANGadzBV7/61fDKV74y/MM//MNM9kEHHRSuvPLK1T+kPJnZ94AB1ZW+nohOcNn26aD44Ou/sXAee3bcGu589lNGZkQ/6fLAq/9p4fVaZjvp633xxcc9Ihy9//jvqDzhxlvCLbvuW+j9DPtdXn9quU++f8ovh7137Bj5O/o9+LVHHr1wf/fdEx85qhMd0Nc7lvbBbw7vfrjquKPCkw4ezxeffdPt4Zq7frRQ+7j3un8Nd28+Y2Sz9LdjDr308oXfR7D//to/5r8/gfuj4uc/zH9hv7WPL5j/9nd8xHy/3b90NX8YTWKNB2m9vL+8YKwG1BoIVBMw2LNnTzjwwAPDrl27Rk259NJLw8te9rLRuXRA8q961aumyiAd+mPI9DcNTjnllFERfQ8Y1D7Yeuvf10WhvtbLyxv6ZSdHPzjzBWH3DdtH/ubgiy8L+5/0xIU+BJ98yAHhymOPGNXpX+7+cdj09dsWupgGuytrdyV5YvG1fVKOh5b+8YHf7a8/wf2iv1/6Os/sa71KjnuwU72dNnGHH4Yfrv0+wvzX7wea/APSu/UPXQa7RgsIhgMEDAzQ5qhSTcBg586d4YADDphCs3379vCLv/iLU2nSyXXXXRdOPfXU1Z8rmpTdb7/9wmWXXRae+9znribXEDCYrP+yHZf+pCpOXjwc8Ul2M70SfJtLry+n9B8dKsF358Xbws5Lt41grj/ltHDg1gtG58t8UILv0PiV/B3tUnzxO5i8lZXiy5deT2rqd0v5OA/ftE4bztwSNmzeUg/UOdTUw3cO1Zv7JTD/nTty1wVhv9P4Up934Lnnh/WbTp8WyjgrwRfz32bgJfg2l15nDua/9fQb7He6r0raLpVcgi+e3ab7qI9n1QQMCN6hhx4a7rrrrhFHWvw/8cQTR+faA/qjyM961rPCf/zHf0yprF27NnzgAx8Iv/u7vxsQMJhC07uT0g6PGuh1enB47Wbi5dteel25u676WLjnvLNHlS6xcOXlmz7EYeFq1D2rB16+06XVf5bai9eGS/BN6wQbHttZCb7j0uo8Sv0u/WzgYVd9oUhjrHzTxV/v4lmRxvSwECvfHjbFXSXMf90I514A7HeMPPXD3rkDlezli7nDuH+4Iy9frsya01J78dpwCb5pnTD/HVtYCb7j0uo+wvyh7v5bVO2rChgcf/zxgf4eQdwuv/zy8Du/8zvxNGv//e9/f/UniK699topPXIqF110Ubj66qtX/8XMT3/60+GZz3xmPJ3bnurDbfTJ1jJv6cDofcguMZjgDZVmiyzBt7n0+nJKf41Sgm/6OSD9Jv2aI46qD24HNS7Bt4NqLbTI9KHfs/haii8WX3mTKMWXL72e1NTvUs3p5+D2O3GjqxFWvlx98Luts11h5Ttb0jBSMP+tqx9hv9P9lfo9z9yBSi7BF/Pf6T6aPCvBd7K8IRxj/ltPL8J+p/sqnT8g2DXNB2c8gaoCBs9//vPDhz/84VFLXvGKV4T3vOc9o/Pcg3vuuWf154k++9nPiqoIGIiI5iqQDtZeh0eV9w4qqRNGdH/aJLx8p0ur/6x0lN/DN72fvA9w9ffObAs8fGdLqz8lfeinFnkWX718ufpg8XVsZ16+45LqPkr9bom5AxGx8O2qLnX3EF97C1++pPpT0/G6hA17+WL+225XXr7tpdeXm/o+z9yBWu/hm95PmP/O2pOH72xp9adw802PDXv5cvXB/HdsZ16+45LqP+rC33n54mWv/ttVVQED+hsDL3zhC0dUDzrooNW/RUA/VWTd6I8oUyDiE5/4RGsRCBi04pl7Zjo4eid4XmdHAPCGSrMZlODbXHqdOSUHbS/f9OENwa5pm/LynS5tOGep3VgXrkrwLVWX4fTOuCUl+I5Lq/so9bvUGs+DPulb+KY/YViiHlTGEDcL3yFyiG3C/DeSqGMP+53tp9QPe57hvHzTuQPmv9P95eU7XdpwzlK7wfy3n30L+53ul3T+QLmeObCXL1cfBLum+6wPZ1UFDOhnhI466qjwox/9aMTuvPPOC29605tG55aD3bt3h5e85CXhQx/6UKM6AgaNaBaWkQ7WHodHjfA4vZKT34UB7fjCHr4dV20hxXODpOentax8U9slGN57aSFAO76olW/H1Vpo8SVtx8MXi6+yGXj4yqXXJZHOHdadsDEccsllrkbk8u2iDq4G9Fw5l2/Pm+OuXmo/3jHbwzcdBzyLv24wPS3Aw7enTXJVC/NfF765K8N+Z5Gnfo8krH7Ywxfz39m+SVM8fNOyhnCezh+swa7IwsO3dF1inbAvS6CqgAE1/TWveU1417veNaKwYcOG8JWvfCUcc8wxozTLAf1NgFe+8pWrf7+A00fAgKOy2LR0sPY8pHicHVFIHR7eUJm2DS/f6dKGc5Z+xm+1YQ/f9FNA78RhOL0zbomH77iUYR6lvs+y+OrlW6IOw+ydfa3y8h0aG+4B2zNm5/JN7ZX4WhcahtY3XHty+XJlDC0N8996ehT2y/cV5r88l76lwn6beyQdyzH/bWa1qBzY7yz5dP5AEtY5qIcvNxe31mO2lUgpSaC6gMH//M//hMc+9rHhO9/5zojDH//xH4d3vOMdo3PPwTnnnBPOP//8mSIQMJhBsvAEvKGy8C7IqoBnUMm6UEXCnA1bJpzUZAvfdLJL5eCPHROF2c3Cd7aU4aVwEz7L4quVL2fDmHDO2pmV72xJw0hJF6uoVRa7jTS0fLn7BUHaSLF5r+XbXMKwcri5A75Q7G8fw35n+4azYcx/Zzn1IQX2y/cCN55b5hFWvpj/8v2Splr5puUM6Ty1HavvJSZWviXrMKS+6WNbqgsYEMRrr702vPWtbw133XVXoL9jQF8GnHLKKcX4XnjhhYECB/RTRbTRjfDlL385HH/88cWuoS2Irs1t9EUEthDSh368od1Pq7AOJv1sTdla7bx4W9h56bapQnMnnBa+6b1DFci97lSlB3xi4TtgHDNN89qSlS/3sIbF15nuMU/mZ0saTgotVt21+Yyw944do0bR/GH9KaeHDZu3jNI0B1r75ezVOmfR1GsoMlq+Q2mvth2p37XakocvvlCUe8vDVy69bgnMf/vff7Df9j5K/TBJ5zxLWfly8wnMf2f7ysp3tqRhpXD2k2O3kYaVbxosoPLwslek2r99lQGDeWC89dZbww033BD27t0bjjvuuIUEC6iddCNyGwIG+6jgDRXOOvqZZh1U+tmacrUiG955ybaw6+orpgrNHbhz+HITXM/bBVMVH+hJDt+BImhsVonF11y+3GTXumDW2LABZeTyHVDTG5vCzR9I2PLQLfHlHo7oWnhAIgryJvGVSxieBGe/1nHcwpezaXyhyNuZhS9f0rBSMf+toz9hv839hPlvM5u+5MB++Z7g1gJy1x6o5Fy+3PObZd7NtwqpXRBAwKALqgXLpJuQ2xAwGFPBGypjFn09yh1M+tqOrurFTTjpWtqH/xy+3EM+FlrbezaHb3tJw83lFq+otZpJYC5fzobpWlh8JQqzWy7f2RKGm8I9uFBrySceuPWCsN+JG8XGt/Gl8umhbPJLhlgg7DWSaN+38W3XHH4u5r/972PYb3sfYf7bzmfRubBfuQcw/5UZLUoC9ttMnvO9NPfN+dI2ly8358YaRHMf9SUHAYO+9ERDPehG5DYEDMZUyOHhDe0xj74e5Q4qfW1HV/VqmnDSQLrhrC1h/abTWy8t8aU/ckT3CRauWjE2Zkp8GxWXKIObCFLzNYuvGr5YfLUbk4avvfS6NZvsllpFQVv6iSIpcJDypTJpMXf3DdtZOAgWsFgaE1O+jYJLloH5bx0dDvtt7yfMf9v5LDoX9iv3QNM8AvNfmV3XErDfZsJNvlfzslcsVcsXL3tFYvXtETDoeZ/RTchtCBhMUyGHl/4eMUngDe1pTos60w4mi6pfX67bZMdUv7ZJZxvftkBBW5l9YdKHerTx7UP9+lSHpocmqmPT4qvEF4uvvh6W+PpKH4Z2m++lFpKvpKDB/vcHbteunK854qjVxj98/X7h5muvCVTG7pVAQfrzcpOE6B44aOv5I93JPBzzBGC/PJeY2mS7mP9GQovdw351/JvsmLTb5qptfDH/1bFvk2rj26a3jHmY//av12G/cp802W2b342lavhS+fjSNhKrc4+AQc/7jW5EbkPAYJYKTTbvfPZTZjLI4eEN7Rksc0/QDCpzr1QPL0h2zH0xE6saF67WrSxe0YJVXLgivnt23Br2rPwRTypDs3B1yCWXxWKxFwjAfgVAE9ltD/4kFm14cvF17ZFHBxrXSDfHhrH4OgG+5RD22wLn/izJ98oltEvkvLHVXtLy5cJ+2/ucbBfz33ZGi8yF/eroSz44zh0w/9XxLCUF+9WTJBv+4dazG78ujDaM+a+eqVcS9isTbAoakGbTy16x1Ca+VCa+tI2U6t4jYNDz/qObkNsQMOCohNXFJu5LA5KmQbrpN4mbnB3p4Q0VouDb2vj6Sh6mNk04d111Rdh56bZOGoiFqzyssN88XiQtPfjnlzitARue5tF2BvttozObJz3wz2q0p+CrgnY+Ui7sVyK0L5/sFvNfHat5SsF+82hj/pvHq2tp2G8+Ycx/85l1pQH71ZNtm0NQKQh26VkOTRIBg573KDk6bkPAgKOyL00aqKPDwxsqzQy7yMGgnU9VsuXcEmmRlb62iT+lkau/zPKwX1vvkw23vW2VWyoWX3OJ7ZOH/eZzi7ZLmk1/i6Cp1DjPgL9tIpSXDvvV8ZLmDNEuMf/V8SwlBfvNJynZcm6JmP/mEhvLw37HLHKO4hwid/7QdA3Mf5vItKfDftv5TOaW9ruTZdMxXvZKidRxjoBBz/uJnBy3IWDAURmnkcPDG9pjHos+wmDt6wGyZ/q0j2w6d+IZFwiwcGXvA9ivnV3UjA9OdA4bjlTms4f9+jlHH0w/9bbn9pWffbvjttEfkL/13t3hmCc+Kaw9YuXvGhx+VFh30kbxjyT7a7Q8JcB+8/oa8988Xl1Lw359hKPvxfzXx9GqDfu1khvrYf47ZjHvI9ivjXi02f+/vfuAm6QoEz/ebmBZclCUJcshJuIii4pElTtJAsKh6Il6ggpi4uDUP7oqBsCAa4ZTMIAZEPBOUDABCgKieKcklbRrIkhaFpad/zzzWvPO9FRPVddTNdPd8+vPZ3fm7a6nuvtbNdVdXTPdZftrRWtjsKtIph7zGTCoeDlJQ2ebGDCwqQzOkwZv2P3gByOGz+EbKsN9hi3loD1Mx3+Z6TzZLlzJ4IBcsDIXrubseyC/JvCnHZqS+juUp9TCMnWYi6+laAsTU38LaaIswDcKY2Em+BbSFC7g/LeQZuQLqL9xyMucO3D+G8dccqH+xrMsU4c5/43jTv0Nd5T6Kr8Sl6ns4AFfWAx3r1okAwZVK5Hc9kgjZ5sYMLCpFM8zB2i+oVJslHIJB+uUupzMp9XFF9/UAmnzp/3FN61A2typvzpfzn91ftpo6q9WcHg8vsN9tEvx1QoOj8d3uI92Kb5awel4cy7h84VFBrum3ZrwjgGDipeiNHS2iQEDm4rfvDINHt9Q8TP1ScVB20cpPA2+4XY+kfj6KIWnwTfczicSXx+l8DT4htv5ROLro+ROw/mv2yhFCupvCtXpPPGdtkjxDt8UqtN54jttkeIdvilUp/PEd9qiqe8YMKh4ycqH0DYxYGBTCZ9HYxdu5xOJr49SeBp8w+18IvH1UQp6nIhaAABAAElEQVRPg2+4nU8kvj5K4WnwDbfzicTXRyk8Db7hdj6R+PoohafBN9zOJxJfH6XwNPiG2/lE4uujFJ4G33C7OkUyYFDx0pIPom1iwMCmoptHo6fzc0Xj6xLSLcdX5+eKxtclpFuOr87PFY2vS0i3HF+dnysaX5eQbjm+Oj9XNL4uId1yfHV+rmh8XUK65fjq/FzR+LqEdMvx1fnVIZoBg4qXknwIbRMDBjaV8Hk0duF2PpH4+iiFp8E33M4nEl8fpfA0+Ibb+UTi66MUngbfcDufSHx9lMLT4Btu5xOJr49SeBp8w+18IvH1UQpPg2+4nU8kvj5K4WnwDberUyQDBhUvLfkg2iYGDGwqunk0ejo/VzS+LiHdcnx1fq5ofF1CuuX46vxc0fi6hHTL8dX5uaLxdQnpluOr83NF4+sS0i3HV+fnisbXJaRbjq/OzxWNr0tItxxfnV8dohkwqHgpyYfQNjFgYFMJn0djF27nE4mvj1J4GnzD7Xwi8fVRCk+Db7idTyS+PkrhafANt/OJxNdHKTwNvuF2PpH4+iiFp8E33M4nEl8fpfA0+Ibb+UTi66MUngbfcLs6RTJgUPHSkg+ibWLAwKaim0ejp/NzRePrEtItx1fn54rG1yWkW46vzs8Vja9LSLccX52fKxpfl5BuOb46P1c0vi4h3XJ8dX6uaHxdQrrl+Or8XNH4uoR0y/HV+dUhmgGDipeSfAhtEwMGNpXweTR24XY+kfj6KIWnwTfczicSXx+l8DT4htv5ROLroxSeBt9wO59IfH2UwtPgG27nE4mvj1J4GnzD7Xwi8fVRCk+Db7idTyS+PkrhafANt6tTJAMGFS8t+SDaJgYMbCq6eTR6Oj9XNL4uId1yfHV+rmh8XUK65fjq/FzR+LqEdMvx1fm5ovF1CemW46vzc0Xj6xLSLcdX5+eKxtclpFuOr87PFY2vS0i3HF+dXx2iGTCoeCnJh9A2MWBgUwmfR2MXbucTia+PUngafMPtfCLx9VEKT4NvuJ1PJL4+SuFp8A2384nE10cpPA2+4XY+kfj6KIWnwTfczicSXx+l8DT4htv5ROLroxSeBt9wuzpFMmBQ8dKSD6JtYsDApqKbR6On83NF4+sS0i3HV+fnisbXJaRbjq/OzxWNr0tItxxfnZ8rGl+XkG45vjo/VzS+LiHdcnx1fq5ofF1CuuX46vxc0fi6hHTL8dX51SGaAYOKl5J8CG0TAwY2lfB5NHbhdj6R+PoohafBN9zOJxJfH6XwNPiG2/lE4uujFJ4G33A7n0h8fZTC0+AbbucTia+PUngafMPtfCLx9VEKT4NvuJ1PJL4+SuFp8A23q1MkAwYVLy35INomBgxsKrp5NHo6P1c0vi4h3XJ8dX6uaHxdQrrl+Or8XNH4uoR0y/HV+bmi8XUJ6Zbjq/NzRePrEtItx1fn54rG1yWkW46vzs8Vja9LSLccX51fHaIZMKh4KcmH0DYxYGBTCZ9HYxdu5xOJr49SeBp8w+18IvH1UQpPg2+4nU8kvj5K4WnwDbfzicTXRyk8Db7hdj6R+PoohafBN9zOJxJfH6XwNPiG2/lE4uujFJ4G33C7OkUyYFDx0pIPom1iwMCmoptHo6fzc0Xj6xLSLcdX5+eKxtclpFuOr87PFY2vS0i3HF+dnysaX5eQbjm+Oj9XNL4uId1yfHV+rmh8XUK65fjq/FzR+LqEdMvx1fnVIZoBg4qXknwIbRMDBjaV8Hk0duF2PpH4+iiFp8E33M4nEl8fpfA0+Ibb+UTi66MUngbfcDufSHx9lMLT4Btu5xOJr49SeBp8w+18IvH1UQpPg2+4nU8kvj5K4WnwDberUyQDBhUvLfkg2iYGDGwqunk0ejo/VzS+LiHdcnx1fq5ofF1CuuX46vxc0fi6hHTL8dX5uaLxdQnpluOr83NF4+sS0i3HV+fnisbXJaRbjq/OzxWNr0tItxxfnV8dohkwqHgpyYfQNjFgYFMJn0djF27nE4mvj1J4GnzD7Xwi8fVRCk+Db7idTyS+PkrhafANt/OJxNdHKTwNvuF2PpH4+iiFp8E33M4nEl8fpfA0+Ibb+UTi66MUngbfcLs6RTJgUPHSkg+ibWLAwKaim0ejp/NzRePrEtItx1fn54rG1yWkW46vzs8Vja9LSLccX52fKxpfl5BuOb46P1c0vi4h3XJ8dX6uaHxdQrrl+Or8XNH4uoR0y/HV+dUhmgGDipeSfAhtEwMGNpXweTR24XY+kfj6KIWnwTfczicSXx+l8DT4htv5ROLroxSeBt9wO59IfH2UwtPgG27nE4mvj1J4GnzD7Xwi8fVRCk+Db7idTyS+PkrhafANt6tTJAMGFS8t+SDaJgYMbCq6eTR6Oj9XNL4uId1yfHV+rmh8XUK65fjq/FzR+LqEdMvx1fm5ovF1CemW46vzc0Xj6xLSLcdX5+eKxtclpFuOr87PFY2vS0i3HF+dXx2iGTCoeCnJh9A2MWBgUwmfR2MXbucTia+PUngafMPtfCLx9VEKT4NvuJ1PJL4+SuFp8A2384nE10cpPA2+4XY+kfj6KIWnwTfczicSXx+l8DT4htv5ROLroxSeBt9wuzpFMmBQ8dKSD6JtYsDApqKbR6On83NF4+sS0i3HV+fnisbXJaRbjq/OzxWNr0tItxxfnZ8rGl+XkG45vjo/VzS+LiHdcnx1fq5ofF1CuuX46vxc0fi6hHTL8dX51SGaAYOKl5J8CG0TAwY2lfB5NHbhdj6R+PoohafBN9zOJxJfH6XwNPiG2/lE4uujFJ4G33A7n0h8fZTC0+AbbucTia+PUngafMPtfCLx9VEKT4NvuJ1PJL4+SuFp8A23q1MkAwYVLy35INomBgxsKrp5NHo6P1c0vi4h3XJ8dX6uaHxdQrrl+Or8XNH4uoR0y/HV+bmi8XUJ6Zbjq/NzRePrEtItx1fn54rG1yWkW46vzs8Vja9LSLccX51fHaIZMKh4KcmH0DYxYGBTCZ9HYxdu5xOJr49SeBp8w+18IvH1UQpPg2+4nU8kvj5K4WnwDbfzicTXRyk8Db7hdj6R+PoohafBN9zOJxJfH6XwNPiG2/lE4uujFJ4G33C7OkUyYFDx0pIPom1iwMCmoptHo6fzc0Xj6xLSLcdX5+eKxtclpFuOr87PFY2vS0i3HF+dnysaX5eQbjm+Oj9XNL4uId1yfHV+rmh8XUK65fjq/FzR+LqEdMvx1fnVIZoBg4qXknwIbRMDBjaV8Hk0duF2PpH4+iiFp8E33M4nEl8fpfA0+Ibb+UTi66MUngbfcDufSHx9lPzSrFh8R7bsgnOyFUvuyB5bfGfndcWSO7MZ62/QyWDG+htmM+dNvV9p34Oy2fMX+GVMqkIB6m8hTekF1N/SZOoA6q+acGgG+A7lUS/EV004NAN8h/I0ZiEDBhUvSvkg2iYGDGwqunk0ejo/VzS+LiHdcnx1fq5ofF1C7uXDOvu33nprttlOz+VilZsxKAX1N4jNOwhfb6qghPgGsXWCHr3mymz51Vdmyy78dnuA4M5SGclAggwaMHjgZuP45jYKSUH9DVELjxlWjyVXBhXDbYsiOb4VycSZj28cx6Jc8C2Sac58BgwqWJa9B+tLv3p2tvGcWdlGK83Kbn9keWdrb1u2PNvjpS/rvOckvnwB9vryDavyfiERHExC1Owx1F+7S6y5+MaSnMqHzn5cT1du1F+XUPzlHN/0psPqLYOJYb5iuvS0Re2BgnPCMuiJMgMHc484Jpsxb8OeJZP9luNbuvKn/qazzeds6vHS0xflFzn/Nm0D1yOcVNYEnD9YWaLNxDcapTUjfK0sjZvJgEFFipSDddqCML58wyqtM53+NL6m/nIyn9aX9iGeL539eJaunEz7QP11SemWc3zT+eWjTb3luJaX0f+99HOLshBX15rNxcFVF57sStro5Rzf0hYv9Tetr8ld2uBHLvh2lEFFyXPOPgfyaySDW+KVi64lsAKS4huAVhAy7DxYQvgFUgFczWczYDDmAuRgnbYAOKlP6yu50+lPZ0z7kM5WcqZ9SONLZz+Naz5X6m9eJP7fHN/SmHKRKr6ryfG+Iw7Lll97pflz4FUu6kmnftYOC7KZ7VsOzdxgo+yxO2/vpHusfcsic0FgWB6ztl+QrbbwpIn8tQHHt4EqFXUG9TcqZ2FmDy48LtpAQe9KGFTs1eh/b9pWniHT7xLrL3xjSfbnw3lwv8ck/sWAwRhLnYN1WnxO6tP6cjE7rS/tQ1pf2oc0vmU7+3J7CznJ32yzzbKbr7iMi1WexUL99YQKTMbxLRDOEcZxzQGkWCx1VnxtzymQC/xz9j2w/e8g6xps38CUdlnylIck2wYP5MKg/NJgkh6MzPHNWn2izKT+RmF0ZiLOcv5g+0yb4BiDitI+rPG5syZyUNE4yqt4yzNkQn7xZQZfuN1Tr2j/e+PLL2z7XWL8JbZ8uSOGZP3zYMBgDGVY5mD9gv/4z+z2ZY9mt7WfX7Bx+zkGMm00Z3Z2yVlfLjyJN7s0yQfrsif1fMPK1Bq/Vzr9fk4hqcq0D5pvCNI+8A3MkPpZFCP1lotVRTpx53N8i+uZz43jW15E/3fIcS1kMHFSj2vie/+Rhw0UlHjIcweKBgokwDZYkM9oWfu2JfI8hPxghOQ/CYMGHN/yNSLu39TfuJ5FuRU5S/qiQcVh7YPPoKKr/Sna1rrPF2sutqYrRal7PKMnnS/nwels65gzAwYjLrWyB2s5UNumVqvVmc3Bul9HfLlo1W8S8y/xLfvNFDr9/iVQtn3ozdl2Uk/70Cs09U0f2od+kxh/FdVbn4tVZv22+muWTfrFKuPA8c1IpHnl+JbO1XYxW9ZWdJEqvyW97QPHtbxOlt27764DF/PFdo3TzhpMbJnT62tZ3JlVdIGm6YM0HN+KakS8+dTfeJZFORXVY2kn5h55zNBfCvm0D3KeZvs1UpnzwKJtr9t8LramLTF+YZvON+Q8OORLt00/b0hXQuPJmQGDEbqHHKzlIG2bzIBB77JJP1gX+fqcrPieDE36N6xCO/02Xzr9vZ/eqYvZNl9O5vudQv+ifQiVc8fR2XcbaVNQf7WCw+OLfCXKdVGb41uxbZGrz3HN5GrzNcsm/bxXHGy/OJJbivg+mHiYr3E2r3LeJhcF87fXkPL0HZwwedXlleNb2pKi/qb1ldyHtcOuz23Z9sH2re9JuTgozmW/VMfF1nL139Ze9OYQ43ZacjybxGf0FLUT4lt0HjysfeA6T2/NrPd7BgxGVH5FH0LXSbZ8EG2TbcBA0k3qN4Bk3zmpF4U007D66/pmitmiYQeVSe/0D/N1ncz7+Jo0tA93GorOq6v97U08rP6adJPoazt5L3Oxytj5+k7axSrjw/HNSMR/Hdb+cnwL9x7m6ntcM2sf1j5MYrtrXGzfZE3V/pp1yqvtG54h6+3Ns4rvOb6lLRXqb1pfk7vt/GHVd5809FZlJlZeh7W/venMe+nTPfie482fndemDxoUHe9k54suthogm68c1yRP2682JM7ny5Am/ya8igW/EE9XkkX1V+qu6zzYVn/zWzrp13nyHnX7mwGDEZVY6MFaPoS2qWjAwKSdtIO19qTep7EztnIQn6SLVsMOIr6dfh/fSe70h7YPpk76+Jq08kr7kGVlLm6U8Z2k9oHOfu+nKt17jm/pbDm+pbPVHtfMlvm2v5N2XJNjzb377WaYOq9lBsFNoK+vSS+vtvO1pl0Q5PjWW+Lx31N/45vacrSdP6zefhix78PKQ9oH2Q5be1zmvNu2L1WdN+w8gout+lIr8vUZNPGpv1JXuYPE4DOQfM4nfHxNDbCdN8iypp07mP1t0isDBgWluWLFiuwXv/hFNnPmzGyVVVbJnv70pxekdM/WHKzlg2ibXAMGEjMpB2tO6m01JN48Ov3xLG05adqH3vzKHLQljvbh5F4+5/uyvk3/Bmaszr6BL+NrO+ls6gknxzdTQ9K8cnxL4xrruGa2zrd9mJTjmrjk2wZpA9e64MeGrNSrr29vptIO39d+0HLvg5CbckGQ41tvSad5T/1N49qbq+1Ca8hnNKR9kO2wnQeXGazo3ZeqvrcZy7b6XGw1++TjazvvlfimnvsaG3m1nafh2yuke2/z5RdIOtOmRTNgUFCiH/3oR7O3ve1t3aU///nPswULFnT/9n1jO5CUOVjLQcQ2+QwYSFzTD9axTup9Dtb5crAdvJt24I7V6S/rOymdfm37YOpkWV8TR/tgJIa/hvg2vX2gsz+8zsRYyvEthmJxHhzfim00S2Id18w2lG1/m35cExdb21Cmg29s5bWsb29s/lxNzoHl2Qm+317uzatK7zm+pS0N6m9aX5N7/hhX5iKryUPTPkg5P7Dw+Gz5tVea7EpdSO8GVfgNF1vTFk6+Dsvayl5H871mJvV1ku4gIZY23zKDeqHtQ/7coWy5Snqm0QkwYFBgfcIJJ2Qnnnhid+n3vve9bK+99ur+7fsm/0Ese7CWD6JtKtP4NflgzUm9rXbEmUenP47jsFy07UNv3iEH7aafzNM+9NaQeO9jdvbNVoXU3/wJZ1MuVhkT6q+RiP/K8S2+qckx5nHN5FmmfWj6cU1MYrYNkl8ZX0nfO+XLu8zFnN58qvKe41v6kqD+pjfOnx/JGstcCOzdQk37YDvWhm5H7zZV4X2+7ZNtCtm3sr62sq17u2srz3w7IWlC9rOsr+1LByHrte1TlebZPpsh+1nW1xjYnEM+PyY/XtMJMGBQYBtjwMDWoJf9IMiH0Db5DhhIrK1BKLsdtm0Y97yYJ/WhjZ0Y5Mu5KRet8idCZQe7eutHiG/TO/35eiNeoZ/LEF9TPrQPRqL4VeObL+cmtA/5k3jZp9BbYYi6xjffToWc7BaX/PiWcHxLa5+vNxzf4njn2zvJNfS4ZrYopH1o6nHNmOS/1Rr66wLJL8TXbIe85stcezzozXsc7zm+pVen/qY3ztfj0HMjbfsgexprW9Kr+a/BdowJMQ71bfrFVts5cMh5WoivrFueabDswnO6FUKOa2u0n/0xY96G3Xl1fxPjPDjE17g1/TqP2c8mvDJgUFCKMQYMYhwg5YNom8oMGEh8jG2xbcc45+X3SdtJ0TR6+UY35KRhnJb5dec7gLKcTn9eSfd3vv5q64ym/sbeFp1MnOj8PtE+xHGVXGJ29s1WhdbffFulLWezPeN+pf6mK4F8nZE1cXyL452vt9rjmtmqkPYh1baYbRrXq+1CyjpX36zanBBfs0Lb9mg/TybvcbxyfEurbqsv1N/45nfv8E99ma51/o+CL3Zq2gfZiHyZN+E8Ld/vD7mYbQooxFdMuYOEERz+Gurb1Gf0iFbM8+AQX1NitoG3Op8/mP1q2isDBgUlGmPAIMbBWj6EtqnsgEETD9YxT+o1jZ2UT77hrfvJUOyOtsY39rbYPk/jmBejfTDbrfGVPGgfjKT9VevbpPYhX1dEjM6+vd5o5nJ80+gNj419TNG0D7G3Zfiep18a87hmtjbUN99W1f28zHjkv1mqHZQJ9TXbI6/5i2faberNe5Tv83VG1s3xLW4JUH/jetpys12EC63HMdoH2cZ8G1Hni4L5c3rZv9D90fjayjl0O2QfqjLZ2uHQX9FpfPPlLOcQTXhGj5RzrHNPja+pb7G2xeTHa3wBBgwKTLUDBrZGPORgLR9E21R2wEDyaNLB2nYwCfHttdU0erbtqfNBm05/b82I/z5W+9C7ZZr6K/nQPvRqDr7X+DapfYjd2TfSGt983a3rxSpjYasvHN+Mjv6V45ve0JZDiuOaWU9o+5BvG+p8XmYs8p3r0AspJj95DfU1eeQvrNS1Deb4Zko03Sv1N52tyTlvPPe1x2RzjzzGLC79qm0fZIVNaSNkX/K+2vZO4xt7W2T/xj3l90k72K/xzZ9DaMt63LZm/THPgzW+sj35Po+2vM0+8hpPoFYDBkceeWR21llnxdv7ITk98sgj2aOPPtpNUfahx/nGLvRgLR9C2xQyYNCkg3Xsk3ptYydl1JSDSopOv9Y3b1v3Tn+s9sG0DVpfyYf2wWgOvsbwzdfhup505usuF6sG64t2Dsc3rWBxPMe3YhvtknzbEHrem98OTfvbpOOacckfS7TnQxpfs035z5Xm9hwmz3G85uswx7f4pUD9jW+azzFmPY7RPsj2Nakt5mJrvsbF/Ztf2Mb1zOeWP17L8tAvJcVqH2IfF/L7zN86gVoNGDzrWc/Krr76at0eB0ZrBwxCTzrlg2ibJn3AIObJkPHVNnpNORnK29LpNzUk3mveOLR96N0i6u+0Br7TFrHfpTqp09Tf/MlvXS9WmbKi/hqJ+K95W45v8YzztjGOa2brQtuHppyXGQd5zV9M0dyb3OQb6mvim/INQY5vpkTTvVJ/09manGMba9sH2a6mnKfl90P2LfRiq8TKpPVN1W5Nbd1o/88fS2Tt4/S1bY92kH60ooNry5+rac+DtfVXtrCJ52qD8vWdU6sBg2233Tb71a9+NRbtsgMGsQ7W8iG0TSEDBvmDXJ0vqsQ+OMZo7Jrimz+QxOj0a32bdiCJ1T6YtkHrK/k0pf7KvtA+iEKaKXbdla3U1t/8CX3df85K/U1TdyVXjm/pbFO0DbK1mvahScc1U3L5b7eO82KK2aamtMEp6rCm/opvU2xNXaH+Gol0rzHrsbb+mr1sSj3On0NwsdWUcJxXfmEbx3FYLvk6rLnOE6t9aNp1nmH+dVxWqwGDXXbZJfvpT386FucmDBg05WAtFSDmyZCpUNpGrym+KWzFWOPbtE5/CmONr5RPU+qv7Au+opBmit3ZN1upqb9NqrviQf01tSL+awpb2UpN/W3K8S2Vrca3aW2DWKRogzX1V7ZJphTbNZXz6P5PtQ8a36bV4RTGGl9Tu1Jsl8l71K+x9yWGrxjE3q5Ru8r6Yl5sNduv9W3SxVZ8Ta1I9xr7XE1bf2VPm3IenK7UxptzrQYMzjzzzOxVr3pVn9hmm22W7bzzzn3zYvxx3XXXZddff303q7IDBrEOivIhLJrkVwbmQ+r7mt+uda+5JQvJx3d9qdJVcT8eu/P27N79dusWl3zLde0Lf1I733v22SVbseTO7n7Iz91nbrDRWPdjkzmzs19utUl3m25/ZHm2za//WLr+p6qPZfOtYv2VdqCq29UE36a0D3fN37z7OZQ38u3WsuWTIn1Vtyvk+FrFz2FT6i/Ht/Lnjb6f1yrW2yYd10w5/GrrTbONVprVbYe3u/7W7NZlj461HW5K+1DV40hVtyvk+Eb9fVzy/lQVj3PSfjWhHlex/j5y9c+z+488rHtMkDtIrHn62cnrWcjn3xzHil4v2HLD7Lmrr9zdl/1uXJxddt9DYz2+NclX3FO0D90CC3zTtIHxQIbKhtVqwEAUn//852eXXHJJF3TrrbfOrr322mzmzJndeTHenHDCCdmJJ57YzarsgEGs0Tv5YNum0Ea6CQdrManqflR1u8rUFzr9nMybNqcqF4PL1F/ah7T1t4qdpaZcrDL1vKrHkapul3HzeeX4lq59SNEJlfbcp1yHpWtCve3dv7+/9mXZ8muvNIfpTO6nvNIOO6mdNM47r7FKdv5T5nW36fL7H872veGOsV7kCdkfjm/6z5vLnfqbbtDWtBNcdE1Xj6t4nGvSl+rwTd8+pDoP7p4ABL7Jb5f2douBm0GYRaB2Awa33HJLttVWW2VLly7t7s6iRYuyN77xjd2/Y7zRDhjEugexHPxtk5yQlZ2a9HOfWAMyxtCcZJm/Q16bMjoa21YsY/g26UASq30w9TSGL+2D0Rx8jeHblPYhdt0Vba1vk+queMRug7W+sk1Nqb+xbcUmhm8Tjm8p2gatb9PaBvGIfcuGGPU39n2nZT/HMaWow1rfptVh6m/6mh2zHmvrr9nbptTj2MfqWL6xt8uU26hfY+9HDN+mnP+asox5HhzD12xX7LI3+fKqF6jdgIHs8imnnJIdd9xx3b1fa621shtuuCFbb731uvO0bxgw0AqmjY95MmS2VNvoNeVkKIWtGGt8m2Jr6loKY42vbFeTjPE1NS3+a+zOvtlCTf1tysUqY0H9NRLxX1PYylZq6m9T2t5Uthrfptj2fhJS3K9aU39l2/LHBe2DQHv3d5Tv8/uheRhk73ZrfJt2fKP+9taMNO/z9XjOPgdmqy48OXhlmvprVprfprq2ETEvthqbGL5NudiaYj/wNTVt6jX2uVoM3yaeq/Wr1/uvWg4YPPbYY9mOO+7YuRWR4ZdnG3zhC18wf6pftQMG+QNj6MFaPoS2KeQXBvltquvBWjzy+6I9qY/R2DXlpD72gUTKS+vbtANJvv6Gtg9iK5PWV/LIbxPtg6hMTTF8m9I+0Nk3tSLda/6zyPEtnjXHt3iW+Zzy9VZ7XDP5a9rf/DbV+bhmPGJ/21Hja7Ypf5FHnn01Y96GZnFtXjm+pS8q6m9643w9lmfqrXXBj4NWHKN9kBXnL7Rrz2uCdiZCUOxziBi+Teoj5+uJ9lgSwzd2mxWhGqqyiFmHY/jKzjSpDqsKp6LBtRwwEMtf/vKXnUGD5cuXd2ilwl5xxRXZTjvtFIVaO2AQ62At+2WbQgYM8o1wXQ/W4pH3jdEx1TZ6TemY5vcjhq2UmcY3v0117/Tn66/mZF5sZdL4SjztgygUT1rfptThVCfOGt+mXKwytS/fPsRogzW+sl1Nqb/5/YhhKz4a3/w21fX4lq+3MY5rYitTqG+TjmtTElP/x+zwa3wlNmW5T+3t6P7n+DYaa+pvWud8PZa1ybNOZs9fELTi0PbXrMy2PXW9P3nsuitGWt8mXWzF13xq0r3mzzm158Ha+it7mt+mup4Hpyu18eZc2wEDYTv++OOzk0+e/ondQQcdlH3rW9+KIqodMLAdHEMO1vIhtE1lBwxs21PXg7V45PdH2zGN0dg15aJVis6f1rdpnf58/ZU6HdI+SJxMWl/b9tA+TNnG8JU8mtI+yL7EPqHX1N8U7ZXs4zin/OeR41u80khRXzT1V/asKce3fL2VfdMc1yReplBf2/bU+bg2pTH1f8x6HOprtid/PKh7Rz+/P9o6rPGNWc6mvKrwGnO/NL5ikS/vutdfU775/Qq9KKj1tRmHbovZt3G+5i9savclhm9+m+pch/P7ov1yawzfpvxC3HxuqtT+mm1qynmw2Z+mvdZ6wEAefHzIIYdkV111VTZjxozs4IMPzuQByDGmq6++Onv729+e3XPPPdlGG22UnX766dnjH//4UlnHOFhLQ2ebyg4YxNgW23aMc15+nzipj1Matk621la2LPSgbdueJnT68/V3nCedsbclTk3U5ZLfJ20dDq2/shcxT850KnGiU+xPqG++nOvcUeotnfx+UX97dcLf244nWlvZmtD6a9ueOh/f8vVWe1wzJR3im2pbzDaN89VWbzQXVkJ8Zf/zxwKZF+PzJPmMa8rvk3bAVvYj1Ddfh5tyfKP+pq/d+Xosawz9bIbWX1ln/tvvmu2Q2HFPeddxtg/GokkXW/O+Mc4hNPVXjPODGHVvh23tb2jbID5aX9v21Pk8WEyaNtV6wKDqhZFv9GR7y34g5UNom8oMGDTtYG088r6ag7a2sWvaSX1+f7QHbI1v7G0x9Wfcr/n6K9tTtn0w+6DxpX0wisWvGl/JNV+Hm3iyycWq4voTsiTfPnB8C1G0x+Q/jxzf7E4hc/P1VvIIPa6Z9Ye0v009rhkTec1fxAhtI0J8zXbkL1RpP0sm33G+2i5ecHyLXyLU3/im+Rzzx7pZ2y/I1jjtrHyyoX9r2gfJOMY2DN3AES+0tQ+aY5zW17Y9db7Ymt+f0OOaqRZaX8mnSb8QNy75z2XosTuGb6xtMfvGa3wBBgzim/blmP8QlD1YywfRNpUZMNBug239VZiXP6jINnFSH6dk6PTHcXTlEvOzGXrQjrkNrv0d5XLah7TasTr7ZitD6m8TL1YZD+qvkYj/yvEtvmlvjimOKWXbhxTb0LuPVXhvayPK9jHMfpT1lbi8sczTPqBS8qjCxPEtfSlQf9Mb2wZOQ76wEtI+yN7Z2gjNxfX0Yn5ryO9X6MVWs7ZQX4mPvS1mm8b5mt8nbZ3R+ObPF7UDGON07V13fr9kWaizxtfWRoVuR+/+8T6uAAMGcT0HcrN9EMocrOVDaJt8Bwzyja7k1aQPYqyTek1j19SLVvm6E9oRlToX6htzG2Q7qjZp2wezP7F8JT/aB6M6/RrqKzk0tX2gsz9dP1K94/iWSnawk83xLZ51rOOa2aKy7W/+vEHyadJxzbjIa/7eyjKvTB9D0pf1lZh82yTzyq5XYqo6cXwbTclQf9M7az+rIe2D7JXtOKC9sJ5ey28NXGz1cwpNlffVXKQPrb9m2/PnE006zuX3LeQ8OLZvyDaYsuI1nQADBulsuzlrDtbyQbRNPgMGTT5YGxNO6o1E/Fdb/dEcKMseVPIHMtnDJnb6Ne1Db6mX9bWVb1NO5o0L7YORSPMao7NvtqxM/Y31mTHrruor9TddydjaP45v8bxjf0Z92wdbuTbtuNZbStJGLD1tUbbswnN6Z5e+eO/rKyuxlW0TO/kc3/qqVJI/qL9JWPsyFeP7jjwsW7Hkzu58uQA7Z5+DsrlHHtOdN+xNmfZB8rG1w5qLvsO2bVzL8n1UTRtY1tfsc8xtMHlW4dV27ssdJOKXjO1zGnIeHKv+yh428TpP/JIbfY4MGIzAXHOwlg+hbXINGNgagaYdrI1LjJP6kMbO1mkKaWjNflTxNdY+lvW11d+mdvo17YOpMzF8aR+M5uBrWV/JIdZnZ3BrqjNH6i4Xq9KWB8e3dL6xPqNl24dJOL7FOK6Zkvf1tbk29bhmbOTVZi3zfS9g+fpKnvkLVDKvqcYc36R000/U39EY37vfbgMr8ulXlWkfZAW2NkLmN+1CoO14E3INoKyvWMpkc26Scf78LPQ4E+orxk39hbjsm5nyzjK/TD0O9bV9fnzaI7PdvI5WgAGDEXnLCVHIwVo+iLZp2ICB7SAieTTpQNJrwkl9r0bc97YTeTlol/lmitki34OK7SASeqJg1l3119D2oXe/fH1pH6bUypwQSYSvr6S1nYD5XryR+DpNtjZCtr/s/vr42uruJLQNDMqk+UTY6i7Ht3jWMY5rZmtc7YOtbZDYpp73GhfzWmQt9XnuEcdkc/Y9yCS1vrp85RYR0g71fkvZZNRkY1sbIfvN8c2UfpxX6m8cx2G52PpWkl7aiFUXnpzNnr+gMNzVPkig5C/nvpPURtjO9cv2LcTOx1fSmclWlk272GprE8q2u8arrK/E2c4pmvKMHuMir7ZjXNnz4LK+tvor61zrgh/3bhrvKyTAgMEIC8P2AZHVDztYy4fQNtkGDCbxYG1sbA2eLPM9uJRp7GwHkSY3dLaDttiWOTnx9bXZyrqa3CGV/ZMppH2YivQ72aR96P9JttjRPpgapHstaiOkXeRilc5Wojm+6Q2LciiquxzfisTKzdcc18yahp0/TPJxzfiY16J2Qpa7+hm2PoXEDRsoGJanxDZlKmojOL7FLWHqb1xPW25F7bGklfNhuUVRfuBgWPsrcZKn/BJy+bVXyp8DU5P7b7Y6K+1CmS/VuXzzoLYylHU28WIrv7DNl36av4uOcT7nwWXr7yRf50lTeqPJlQGD0Th312Jr6M1C28FaPoi2qffkfpIP1r02RQ0eJ/W9SmHvi+qt2Lq+mWLWOOygIvlP2jdTjEvva5GzpLG1D72xRb60D1NKtA+9tSX+e1vHyazFp52w1V8uVhnBqUED268UOb5NG4W+K2p3feqtWaet/pplk358K/IVH9dxzRjmfTmuGZn+V2mHbb9IMqmkTssFwVntfzPmbZjNbP8tr+L72J23Z4+173MueSxvn5Pln4tg8pBXKbc1Tjurd1aj33N8G03xUn/TOw+ry7J200as9I9fJUkbMXODjTK57iCxZdqI1Rae1Glf0u/V+NYgJrZzM5+LrWar88c3Mz//OmkXW4vag7K/4vD1FW/br0Ym4XhXdJ7mcx7s4zvp58H5z3Ld/mbAYAwlVuZgvfvuu2e3L3s0u+2R5Z0t3XilWdlGc2Znl5z1Za8T+kk4WPcW4TDbYY3esMaOi1ZTwkUHE1nq6vQX+dLp7629U++H1WFJwcn8oJnvnGG2tA++isXpxJeLVcU+2iXUX61gcTzHt2KbGEuG1V3J33ZckwvZMm3SPue9+YrLvC9kT9p5bwep5z+xXnbBOdnS0xf1zI33tsyFsHhrHX9OHN9GUwbU3/TOrrqs3YJJayOKzh+G9SuMcVH/2CyXV8l/Ur9UJ3U1/9BuMfG9iO/jK/nJZBuQkTJs4q83pva4//+ieiypiq7zuHwlz0n9BVK/br3/YsBgTOXHwTodvMvWdEz5hlX5Mig6cJucjG3vN1Po9Bsd/1dXHfbPyZ5y0k7mexVctqYO0z70qvm/F18uVvl7lU1J/S0r5p9ebG0dU5ODaRs4vhmRcq+uulsut8HUk3xcG9SY+lXSsAFcW8yweeIrt5gz53TD0jZ1Gce30ZVs7PaC+jtYdmL8wMLjC28nNBgxfI5cVJzUAduQi61Gs+iiKxdbp4Skntp+xSHnZNz21NSiOK9iXfY8mF8gxbGvci4MGIy5dDhYpykAceWiVTrbmJ3Q/FbS6Z8WoX2Ytoj5jvYhpqY9LzGO2U7Q2Z92pv5OW8R+F7ve5reP49vUhWwuUuVrRrq/pU7LhSc5Jy66z3jR2s0g2aQPFOR9YrcTHN/ywtN/U3+nLVK9E2Npk2WijQhXFkcutob7DYscZivHqaLbIxcNxsi6uIOEXVysY/bf8mvhPDgvUv2/GTCoSBlxsE5TELEbPU7qp8vJ1NmyJ5fTOfS/m+RvpvRLDP5lrGVJWW86/IOeZg7tg5FI9yrGXKxK40v9TeMquZo2t2x7W7RFHN8GZYyxLCnrzHFt0NNnjmmP5RkFjy1uP69gyR3tf3d2QsV0xvrt5xrMm3qds++BE/1rgjKeDMb4aOnTUH/1hq4cyhjP2mHBwEOSXfk3fbn4cbE1TSm7bM15Ab8Qj+Mv3ny5I45l3XNhwKCCJdh7sL70q2dnG89pP7eg/ewCmW5vP8vgtmXLsz1e+rLOiT0Ha78CNKac1Pt5lUllDigSQ6e/jFxYWlOXfTr8tA9+xsaU9sHPKzSVcfapu1ys8lc2rtRffzPflGLLNy99tcLTmTpsaxvkvHeznZ7bvZDNcS3c2RY57BuYtvTMswsMq8MMxtjNYsyl/sZQLM4D32KbYUvMuUPZfnFRnnzpYEpGXOVcl2f0FNWU+PNNXZacy9ZnM4jDrxTjl8soc2TAYJTaAeuSA7VtarVattnM8xDgpN4DKTDJMFs6/YGonmGc1HtCOZINq8N0+h14isXUXwVeTyj1twcj8tththzfImPnsqN9yIFE/hPfyKC57PDNgUT+E9/IoLns8M2BlPhTzhv40kEJMM+k4hrzlxzcQcIPfth5cL6PzJc7/EzrkIoBg4qXkhykbRMDBjaV8HmcDIXb+UTi66MUngbfcDufSHx9lMLT4Btu5xOJr49SeBp8w+18IvH1UQpPg2+4nU8kvj5K4WnwDbfzicTXR8kvDRdb/ZzKpDKm/MK2jFq8tLQP8SyrnBMDBlUunfa2yQfRNjFgYFPRzaPR0/m5ovF1CemW46vzc0Xj6xLSLcdX5+eKxtclpFuOr87PFY2vS0i3HF+dnysaX5eQbjm+Oj9XNL4uId1yfHV+JtoMHthubZj/9ju3PTVq+lfqr96w6jkwYFDxEpIPoW1iwMCmEj6Pxi7czicSXx+l8DT4htv5ROLroxSeBt9wO59IfH2UwtPgG27nE4mvj1J4GnzD7Xwi8fVRCk+Db7idTyS+PkrhafANt/OJxNdHKTwNvuF2dYpkwKDipSUfRNvEgIFNRTePRk/n54rG1yWkW46vzs8Vja9LSLccX52fKxpfl5BuOb46P1c0vi4h3XJ8dX6uaHxdQrrl+Or8XNH4uoR0y/HV+bmi8XUJ6Zbjq/OrQzQDBhUvJfkQ2iYGDGwq4fNo7MLtfCLx9VEKT4NvuJ1PJL4+SuFp8A2384nE10cpPA2+4XY+kfj6KIWnwTfczicSXx+l8DT4htv5ROLroxSeBt9wO59IfH2UwtPgG25Xp0gGDCpeWvJBtE0MGNhUdPNo9HR+rmh8XUK65fjq/FzR+LqEdMvx1fm5ovF1CemW46vzc0Xj6xLSLcdX5+eKxtclpFuOr87PFY2vS0i3HF+dnysaX5eQbjm+Or86RDNgUPFSkg+hbWLAwKYSPo/GLtzOJxJfH6XwNPiG2/lE4uujFJ4G33A7n0h8fZTC0+AbbucTia+PUngafMPtfCLx9VEKT4NvuJ1PJL4+SuFp8A2384nE10cpPA2+4XZ1imTAoOKlJR9E28SAgU1FN49GT+fnisbXJaRbjq/OzxWNr0tItxxfnZ8rGl+XkG45vjo/VzS+LiHdcnx1fq5ofF1CuuX46vxc0fi6hHTL8dX5uaLxdQnpluOr86tDNAMGFS8l+RDaJgYMbCrh82jswu18IvH1UQpPg2+4nU8kvj5K4WnwDbfzicTXRyk8Db7hdj6R+PoohafBN9zOJxJfH6XwNPiG2/lE4uujFJ4G33A7n0h8fZTC0+AbblenSAYMKl5a8kG0TQwY2FR082j0dH6uaHxdQrrl+Or8XNH4uoR0y/HV+bmi8XUJ6Zbjq/NzRePrEtItx1fn54rG1yWkW46vzs8Vja9LSLccX52fKxpfl5BuOb46vzpEM2BQ8VKSD6FtYsDAphI+j8Yu3M4nEl8fpfA0+Ibb+UTi66MUngbfcDufSHx9lMLT4Btu5xOJr49SeBp8w+18IvH1UQpPg2+4nU8kvj5K4WnwDbfzicTXRyk8Db7hdnWKZMCg4qUlH0TbxICBTUU3j0ZP5+eKxtclpFuOr87PFY2vS0i3HF+dnysaX5eQbjm+Oj9XNL4uId1yfHV+rmh8XUK65fjq/FzR+LqEdMvx1fm5ovF1CemW46vzq0M0AwYVLyX5ENomBgxsKuHzaOzC7Xwi8fVRCk+Db7idTyS+PkrhafANt/OJxNdHKTwNvuF2PpH4+iiFp8E33M4nEl8fpfA0+Ibb+UTi66MUngbfcDufSHx9lMLT4BtuV6dIBgwqXlryQbRNDBjYVHTzaPR0fq5ofF1CuuX46vxc0fi6hHTL8dX5uaLxdQnpluOr83NF4+sS0i3HV+fnisbXJaRbjq/OzxWNr0tItxxfnZ8rGl+XkG45vjq/OkQzYFDxUpIPoW1iwMCmEj6Pxi7czicSXx+l8DT4htv5ROLroxSeBt9wO59IfH2UwtPgG27nE4mvj1J4GnzD7Xwi8fVRCk+Db7idTyS+PkrhafANt/OJxNdHKTwNvuF2dYpkwKDipSUfRNvEgIFNRTePRk/n54rG1yWkW46vzs8Vja9LSLccX52fKxpfl5BuOb46P1c0vi4h3XJ8dX6uaHxdQrrl+Or8XNH4uoR0y/HV+bmi8XUJ6Zbjq/OrQzQDBhUvJfkQ2iYGDGwq4fNo7MLtfCLx9VEKT4NvuJ1PJL4+SuFp8A2384nE10cpPA2+4XY+kfj6KIWnwTfczicSXx+l8DT4htv5ROLroxSeBt9wO59IfH2UwtPgG25Xp0gGDCpeWvJBtE0MGNhUdPNo9HR+rmh8XUK65fjq/FzR+LqEdMvx1fm5ovF1CemW46vzc0Xj6xLSLcdX5+eKxtclpFuOr87PFY2vS0i3HF+dnysaX5eQbjm+Or86RDNgUPFSkg+hbWLAwKYSPo/GLtzOJxJfH6XwNPiG2/lE4uujFJ4G33A7n0h8fZTC0+AbbucTia+PUngafMPtfCLx9VEKT4NvuJ1PJL4+SuFp8A2384nE10cpPA2+4XZ1imTAoOKlJR9E28SAgU1FN49GT+fnisbXJaRbjq/OzxWNr0tItxxfnZ8rGl+XkG45vjo/VzS+LiHdcnx1fq5ofF1CuuX46vxc0fi6hHTL8dX5uaLxdQnpluOr86tDNAMGFS8l+RDaJgYMbCrh82jswu18IvH1UQpPg2+4nU8kvj5K4WnwDbfzicTXRyk8Db7hdj6R+PoohafBN9zOJxJfH6XwNPiG2/lE4uujFJ4G33A7n0h8fZTC0+AbblenSAYMKl5a8kG0TQwY2FR082j0dH6uaHxdQrrl+Or8XNH4uoR0y/HV+bmi8XUJ6Zbjq/NzRePrEtItx1fn54rG1yWkW46vzs8Vja9LSLccX52fKxpfl5BuOb46vzpEM2BQ8VKSD6FtYsDAphI+j8Yu3M4nEl8fpfA0+Ibb+UTi66MUngbfcDufSHx9lMLT4Btu5xOJr49SeBp8w+18IvH1UQpPg2+4nU8kvj5K4WnwDbfzicTXRyk8Db7hdnWKZMCg4qUlH0TbxICBTUU3j0ZP5+eKxtclpFuOr87PFY2vS0i3HF+dnysaX5eQbjm+Oj9XNL4uId1yfHV+rmh8XUK65fjq/FzR+LqEdMvx1fm5ovF1CemW46vzq0M0AwYVLyX5ENomBgxsKuHzaOzC7Xwi8fVRCk+Db7idTyS+PkrhafANt/OJxNdHKTwNvuF2PpH4+iiFp8E33M4nEl8fpfA0+Ibb+UTi66MUngbfcDufSHx9lMLT4BtuV6dIBgwqXlryQbRNDBjYVHTzaPR0fq5ofF1CuuX46vxc0fi6hHTL8dX5uaLxdQnpluOr83NF4+sS0i3HV+fnisbXJaRbjq/OzxWNr0tItxxfnZ8rGl+XkG45vjq/OkQzYFDxUpIPoW1iwMCmEj6Pxi7czicSXx+l8DT4htv5ROLroxSeBt9wO59IfH2UwtPgG27nE4mvj1J4GnzD7Xwi8fVRCk+Db7idTyS+PkrhafANt/OJxNdHKTwNvuF2dYpkwKDipSUfRNvEgIFNRTePRk/n54rG1yWkW46vzs8Vja9LSLccX52fKxpfl5BuOb46P1c0vi4h3XJ8dX6uaHxdQrrl+Or8XNH4uoR0y/HV+bmi8XUJ6Zbjq/OrQzQDBhUvJfkQ2iYGDGwq4fNo7MLtfCLx9VEKT4NvuJ1PJL4+SuFp8A2384nE10cpPA2+4XY+kfj6KIWnwTfczicSXx+l8DT4htv5ROLroxSeBt9wO59IfH2UwtPgG25Xp0gGDCpeWvJBtE0MGNhUdPNo9HR+rmh8XUK65fjq/FzR+LqEdMvx1fm5ovF1CemW46vzc0Xj6xLSLcdX5+eKxtclpFuOr87PFY2vS0i3HF+dnysaX5eQbjm+Or86RDNgUPFSkg+hbWLAwKYSPo/GLtzOJxJfH6XwNPiG2/lE4uujFJ4G33A7n0h8fZTC0+AbbucTia+PUngafMPtfCLx9VEKT4NvuJ1PJL4+SuFp8A2384nE10cpPA2+4XZ1imTAoOKlJR9E28SAgU3FPW/F4juyZReck61Yckf22OI7O68rltyZzVh/g+zWW2/NNtvpudnMeRt0Mlpp34Oy2fMXuDMlhZcABxUvpuBE+AbTeQXi68UUnAjfYDqvQHy9mIIT4RtM5xWIrxdTcCJ8g+m8AvH1YgpOhG8wnVcgvl5MwYnwDabzCsTXiyk4Eb7BdLUJZMCg4kUlH0LbxICBTcU+79FrrsyWX31ltvT0RfYEQ+bKQIIMGjB4MATJYxEHEw8kRRJ8FXgeofh6ICmS4KvA8wjF1wNJkQRfBZ5HKL4eSIok+CrwPELx9UBSJMFXgecRiq8HkiIJvgo8j1B8PZAUSfBV4NUolAGDiheWfBBtEwMGNpX+eTJQ8MgF386WXXhO/4LAv+bscyADB4F2EsZBRYHnEYqvB5IiCb4KPI9QfD2QFEnwVeB5hOLrgaRIgq8CzyMUXw8kRRJ8FXgeofh6ICmS4KvA8wjF1wNJkQRfBZ5HKL4eSDVP0tgBg4ceeii76667sqVLl3b+rbrqqtndd9+drbPOOtn666+fyd91mORDaJsYMLCpTM97cOFx0QYKpnPNOrcukl8crLrw5N7ZvHcIcDBxACkX46sEdITj6wBSLsZXCegIx9cBpFyMrxLQEY6vA0i5GF8loCMcXweQcjG+SkBHOL4OIOVifJWAjnB8HUDKxfgqAWsS3ogBA7n3/A9/+MPsRz/6Ufab3/ymcy/6v/3tb0OLYLXVVusMHDzpSU/KNt1002yPPfbIXvjCF2bz5s0bGjfqhfJBtE0MGNhUskx+VbD0c4uy5ddeaU/Qniu/FJix/obZrB0WZDPbtxyaMW/DTJ5tsNlmm2U3X3FZ570852BYHnKrojU+d1YntnBFLOgT4KDSxxH9D3yjk/ZliG8fR/Q/8I1O2pchvn0c0f/ANzppX4b49nFE/wPf6KR9GeLbxxH9D3yjk/ZliG8fR/Q/8I1O2pchvn0c0f9ouq9cJz788MOzhQsXRrerS4a1HjC45JJLspNOOin7/ve/H8179913z975zndme+65Z7Q8NRnJh9A2MWAwqCKDBfcfedjggvacWdsvyObse2D730HW5bbGTgYRJM+iwQMZNJh7xDGFeVpXNKEzbb4TSpFkt/FNwtrNFN8uRZI3+CZh7WaKb5ciyRt8k7B2M8W3S5HkDb5JWLuZ4tulSPIG3ySs3Uzx7VIkeYNvEtZupvh2KZK8mQRf2UeZNtlkk2y33XbrDBzIIMIkTbUcMJDbDL32ta/NzjrrrGRltddee2Vnn3125xZGyVbikbGppPmkDBj0ixQNFshAwdwjj+k8uLg/YvCvYY3eMnkWguVXBwwaDDoWzRnmWxTDfH8BfP2tQlLiG6LmH4Ovv1VISnxD1Pxj8PW3CkmJb4iafwy+/lYhKfENUfOPwdffKiQlviFq/jH4+luFpMQ3RM0/pum+sn+9kxk4kF8dyADCJEy1GzCQwYJddtklu/rqq5OXj9yi5qKLLsq22GKL5OsqWkG+kpp0DBgYianbENl+WSCDBWuc5jeo5NPYyS8Olp62aODZCNyeaLosit75+BbFMt8tgK/bSJMCX42eOxZft5EmBb4aPXcsvm4jTQp8NXruWHzdRpoU+Gr03LH4uo00KfDV6Llj8XUbaVLgq9Fzx06Cr+xj0fTKV76yc7uipg8c1G7A4Oijj84+9alPFZVbJoW6wQYbZFtuuWW28cYbdx5uLA84njlzZrZ8+fJs9uzZ2cMPP5z99a9/zX7/+99nt9xyS7ZkyZLC/LbaaqvsqquuylZeeeXCNCkXFFVSBgym1e/dd9dsxZI7p2e036367pNK3yrIt9GTXxs8+J7j+9bHoEEfh/UPX19rMDOdAvg6iVQJ8FXxOYPxdRKpEuCr4nMG4+skUiXAV8XnDMbXSaRKgK+KzxmMr5NIlQBfFZ8zGF8nkSoBvio+Z3DTfWX/XJP86uDMM89s7C8OajVg8Lvf/S572tOeNlBmMiDw4he/ODv00EMzeQaB/F1mkoGD73znO9mXv/zl7Je//OVA6LHHHpudcsopA/NHMaOokjJgMKV/3xGHDTycePX2w4hnz19QqnjKNna2QQN5mPKqC08utd5JSVzWd1JcYu0nvrEk7fnga3eJNRffWJL2fPC1u8Sai28sSXs++NpdYs3FN5akPR987S6x5uIbS9KeD752l1hz8Y0lac8HX7tLrLmT4Cv76DvJwIHcqqhpD0iu1YDBu971rux973tfX5k9+9nPzr761a92HkTRtyDgjxUrVnR+vfCOd7wje+CBB7o5rL322p1fIcyZM6c7b1RviiopAwb2WxFpLtqXbfSWfm5RtvT0RX1VIWSwoi+DBv9R1rfBFEl2Dd8krN1M8e1SJHmDbxLWbqb4dimSvME3CWs3U3y7FEne4JuEtZspvl2KJG/wTcLazRTfLkWSN/gmG4zpnQAANJlJREFUYe1mim+XIsmbpvvK/pWdzHMOZOBg0003LRteufS1GjCYP39+du2113YRt9lmm86zDGbNmtWdF+PNN7/5zeyQQw7py+rb3/52duCBB/bNG8UfRZWUAYMsy/+6oMwzC/JlF9LYyTMNHlh4fN8vHDTbkN+mJv0d4tuk/U+9L/imFcYX37QCaXOn/uKbViBt7tRffNMKpM2d+otvWoG0uVN/8U0rkDZ36i++WgGpQ6GTGTiQXx3U+TkHtRoweOITn5j95S9/6ZbZpZde2rkFUXdGxDcHH3xw9q1vfaub4wknnJC9973v7f49qjdFlXTSBwxstwTSfrs/5KDy6DVXZvkHLmu3Y1R1a9TrCfEd9TbWeX34pi09fPFNK5A2d+ovvmkF0uZO/cU3rUDa3Km/+KYVSJs79RfftAJpc6f+4qsRkPoTY6rzA5JrM2Dw2GOPZSuttFImtw2SSR5evHTp0s7DjGMUYj6P008/PTviiCO6s1/zmtdk//Vf/9X9e1RviirppA8YPLjwuGzZhed0i0FzKyLJRHMwib0t3Z1q0BuNb4MYku0KvsloOxnji29agbS5U3/xTSuQNnfqL75pBdLmTv3FN61A2typv/imFUibO/UXX62A1KGYUx0fkFybAYOHHnqo72HGG2ywQXbHHXfELL++vC655JLs+c9/fnfe3nvvnV144YXdv0f1pqiSTvqAwd07/FNfEax1/o+yGfM27JtX9o/Qg4rcmuje/Xbrrm7G+htka13w4+7fvJkSCPXFz08AXz+n0FT4hsr5xeHr5xSaCt9QOb84fP2cQlPhGyrnF4evn1NoKnxD5fzi8PVzCk2Fb6icXxy+fk6hqfANlfOLa7qv7F+KqU4PSK7NgIEU1Oqrr959GLE8gFh+YZCqED/zmc9kb3jDG7r1Y//998/OO++87t+jelO0f5M8YGC7DdA6V9+sKhJtY5d/ngK3JeovDq1vf278lRfANy8S929843rmc8M3LxL3b3zjeuZzwzcvEvdvfON65nPDNy8S929843rmc8M3LxL3b3zjeuZzwzcvEvdvfON65nObBF/Zx5RTHZ5zUKsBgy233DK78cYbu2X2P//zP9k///M/d/+O+eawww7Lzj777G6Wr3vd6zIZRBj1VFRJJ3nAIH8LoLmvPSabe+Qx6qLRNHr5Zypob5Gk3pkKZqDxreDuVG6T8E1bJPjim1Ygbe7UX3zTCqTNnfqLb1qBtLlTf/FNK5A2d+ovvmkF0uZO/cVXIyD1ZxRTlQcOajVgcOCBB2bnnntut8y22Wab7OKLL87WW2+97rwYb/74xz9m2223XXbvvfd2s5MHHsuDj0c9FVVSBgymn1+w6rtPyubse5CqaLQHEwYMhvNrfYfnzlJ809YBfPFNK5A2d+ovvmkF0uZO/cU3rUDa3Km/+KYVSJs79RfftAJpc6f+4qsVkDo06mnXXXfNFi5cmO22226jXrV1fbUaMDjnnHOygw7qvzA8b9687Gtf+1r2vOc9z7qDZWded9112aGHHprdcMMNfaFXXnlltuOOO/bNG8UfRZV0kgcM7t1312zFkju7/DGeXyCZaQ4q+dskzdp+QbbGaWd1t5E3Ol/83AKa+uvOnRT4pq0D+OKbViBt7tRffNMKpM2d+otvWoG0uVN/8U0rkDZ36i++aQXS5t70+iv7N65JfnUgAweHH374uDahs95aDRg88sgj2WabbZYtXry4D23mzJnZkUce2bk90S677JKtueaafctdfzz88MPZ5Zdfnp1xxhnZN77xjezRRx/tC9l8882zm2/W3SO/L8MSf4yzkpbYzJEmvW6rTbKNVprVXed219+a3fbI8u7f43izcXt7ftneLjPd3t6ebdvbxYQAAggggAACCCCAAAIIIIAAAggggAACCJQVGNcXxms1YCCol156afaCF7wgW7FihdV4xowZ2fbbb5/J7YrWWGON7j95YLIgL1u2LHvooYeyP//5z52Bh5tuuim7/vrrBwYJejOXXzYccMABvbNG9p4Bg0Hqu+Zv3jdz3Wtu6ft7XH9UdbvG5cF6EUAAAQQQQAABBBBAAAEEEEAAAQQQQCBMYFzPOajdgIHwfuxjH8ve9ra3dQYAwrj9o97whjdkn/rUp/wDIqdkwGAQtIq/MJCtZMBgsKyYgwACCCCAAAIIIIAAAggggAACCCCAAALhAjJwcOaZZ47sGQe1HDAQ3u9+97vZy1/+8r4HE4ezD0bKLxVOPPHE7D//8z8797YfTDGaOQwYDDqf/5QNsueuvnJ3wX43Ls4uv39p9+9xvHnu6nOz858yr7vqy+9/ONvvxunnLHQX8AYBBBBAAAEEEEAAAQQQQAABBBBAAAEEEPAQeOUrX9l5rsGmm27qkTpOktoOGMju33PPPdmiRYs6/+6+++4oIjJQIA9WPv7447P58+dHyVOTCQMGg3oMGAyaMAcBBBBAAAEEEEAAAQQQQAABBBBAAAEE6i8gvyiQBx/LA5DHMdV6wMCAyXMJfvrTn2YXX3xx9rOf/SxbsmRJ5xkFDzzwgElS+LryyitnUgjPetazst13373zfISNNtqoMP2oFzBgMCj+qU3Xyw5dd/Xugq/ddX921B//0v17HG/y23Ty4nuyk5bEGcQax/6wTgQQQAABBBBAAAEEEEAAAQQQQAABBBAYvcC4HnZs9rQRAwZmZ/Kv8nDjP/3pT53Bg7/97W+dxXPnzs3k3yqrrJLNmzcvW2+99cZ6y6H8NvO3W2DZBd/OHnzP8d2EM9bfIFvrgh93/x7Hm3v33TVbsWT6FkSrvvukbM6+B41jU1gnAggggAACCCCAAAIIIIAAAggggAACCAQIjOPL27vuumvnFwXyq4IqTI0eMKgCMNsQX2DF4juye/fbrS/j1T93VjZ7/oK+eaP6w7Y961x986hWz3oQQAABBBBAAAEEEEAAAQQQQAABBBBAIILAKAcMxvF8Ah8iBgx8lEhTOYH7jjgsW37tld3tmrPPgdmqC0/u/j3KN1XallHuN+tCAAEEEEAAAQQQQAABBBBAAAEEEECgSQKjGDCQgYIzzzyzsmwMGFS2aNiwYQL52xJJ2nH8yuDRa67M7j/ysL5NHcd29G0AfyCAAAIIIIAAAggggAACCCCAAAIIIIBAaYFUAwbjfpBxGQgGDMpokbZSAvlv9s/afkG2xmlnjXQbq7ANI91hVoYAAggggAACCCCAAAIIIIAAAggggEBDBWIPGFTt+QQ+xcaAgY8SaSopYPt2/9zXHpPNPfKYkWxvfrBAVsqvC0ZCz0oQQAABBBBAAAEEEEAAAQQQQAABBBCILhBrwKCOAwUGkwEDI8FrLQUeXHhctuzCc/q2fRSDBrbBinE+R6EPgD8QQAABBBBAAAEEEEAAAQQQQAABBBBAoLSAdsCgqg8yLgPBgEEZLdJWTmDF4juy+9rPEFix5M7uts1Yf4Nszj4HJfulgW2wQNa51gU/7m4DbxBAAAEEEEAAAQQQQAABBBBAAAEEEECgXgKhAwbvfve7s4ULF9ZrZwu2lgGDAhhm10dABg3u3W+3gQ1O8Y1/222IZMXcimiAnxkIIIAAAggggAACCCCAAAIIIIAAAgjUSqDMgEGdHmRcphAYMCijRdrKCti+9S8bK9/8X3Xhydns+QtU2y75y+2Pen/JYDJksMBI8IoAAggggAACCCCAAAIIIIAAAggggEB9BXwGDOr8fAKfkmHAwEeJNLUQKBo0kI2ftf2Czi2Kyg4cSJ5LP7coW37tlVYDBgusLMxEAAEEEEAAAQQQQAABBBBAAAEEEECgdgLDBgxkoEBuO7TbbrvVbr/KbDADBmW0SFt5AdszDXo3Wn5xIIMGK+17UGf2zPbfM+Zt2HkvsY+1n4Ugr8vbAwX5hyn35iMDEKstPKkb27uM9wgggAACCCCAAAIIIIAAAggggAACCCBQPwHbgEETHmRcpiQYMCijRdpaCMgF/6WnLRp6wV+zIymejaDZHmIRQAABBBBAAAEEEEAAAQQQQAABBBBAQC/QO2AgAwVnnnmmPtOa5cCAQc0KjM31F5CBgwcWHl94OyH/nKZS8quCsmKkRwABBBBAAAEEEEAAAQQQQAABBBBAoD4Cm266aXb44Yd3bj1Un62Ou6UMGMT1JLcKCpiBA9m0omcRFG22uYXR3COO4fZDRUjMRwABBBBAAAEEEEAAAQQQQAABBBBAAIFGCDBg0IhiZCd8BWTwQB5kLM8oeGxx+3kFS+5o/7uzEy6DAzPW3zCbOW/qddYOCzrPO/DNm3QIIIAAAggggAACCCCAAAIIIIAAAggggECdBRgwqHPpse0IIIAAAggggAACCCCAAAIIIIAAAggggAACCEQSYMAgEiTZIIAAAggggAACCCCAAAIIIIAAAggggAACCCBQZwEGDOpcemw7AggggAACCCCAAAIIIIAAAggggAACCCCAAAKRBBgwiAQ5qmwefPDB7Pbbb88WL16c3XPPPdnaa6+drb/++tnGG2+crbrqqqPajEasR/yWLVuWrbLKKtkaa6zRiH2qwk48/PDDnTp65513ZnfffXe2wQYbZE972tMwjlw40hbccccdnbZAnKUd2GKLLbInPOEJkdc0Odm1Wq3s0UcfzWbPnp097nGPm5wdZ08bJ7BkyZLshhtuyKSdkOObtA9PfvKTsxkzZjRuX9mh5gr86U9/ym666absr3/9azZv3rzsn/7pn7LHP/7xzd3hMezZH//4x0ycxVgmaSc233zzbOWVVx7D1lRrlan6CfTliss5lblZY+r8zXrq9BrbhH7g8NKP7S1rm8Q+YQrHopKjfzglM0rzorJg/hgE2h8ApooLrFixovXNb36ztc8++7RmzZrValeTgX8rrbRSa//992+dd955Fd+b8W/eVVdd1dpuu+36DI866qjxb1iNt+D+++9vffrTn27ttdderTlz5vTZmvraHjho7b333q1rr722xns63k1vd+hbJ598cmvnnXduzZw50+q85pprtnbffffW5ZdfPt6NrdHaTzvttNZGG23Uag8SdEzldd11120dccQRNdqL8W5qu7PSOQaJY8i/Y489drw7UPO1//a3v2295jWvae24446t9gCBtW1oD4532uALL7yw5nubdvOPPvrooDpsq/dbbbVV67bbbku7wQ3K/aGHHmq9//3vb2277bat1VZbzVqPpX4vWLCgc17coF0f6a60Bwhact7b/rKR1ViOgZtttlnr1FNPbbW/WDPSbavCylL0E+jLDS/ZFOa9a0ydf++66vI+pgn9QHepx/SWtU1qnzC247CSo384pRPLnL7isNpW3WVZdTeNLRMBOal/4QtfaD2hNxdi86//+q//2mqPAAKYE3jggQdab3nLW1rtb1gOeB544IG51PzpI7B8+fLWSSed1FpnnXUGTPP10vwtF7qlHOTkkslPQDrsJ5xwQuEFFGObfz300EM7J5R+a5nMVDfeeGNLBlzzdvL3euutN5koAXt9wQUXWA1trrZ5MqDIVF6g/eui1pve9KbCLxPYrOViYPuXiuVXNiERZY5nNt/8vK9//esTIqfbzTPOOKO14YYblmpHZIDs6quv1q14wqLPPffcVvuXiN7O7V8ctH784x9PhFKqfgJ9ueLqk8rcrDF1/mY9dXqNaUI/0F3yMb1lbZPaJ4zt6Co5+oetVmxz+oquWlfN5QwYVLNcOlvVvqVA6c6T6ag+5znPaT3yyCMV3rvRbtpFF13U2nTTTQs7SAwYhJXHi1/84kJTUxeLXv/lX/4lbKUTGKVx3m+//SZQzH+XpR4W1VEGDPwdv/SlLxU6Fvn2zpcLhUzlBK688srOL2F6HX3f/+IXvyi3sglK3b7Vo6ou58vgO9/5zgTphe3qJz7xiWDzJz7xia0///nPYSueoCi5sPfqV786yHmttdZq/e53v2u0Vqp+An254mqTytysMXX+Zj11eo1toumfTEI/MLa31DWNeV37hCkcXZ/bSe8fpjCnr+iqddVczoBBNculc7H/uc99rvXEXn4mfMghh7Re+cpXtnbZZZfCb8e+8Y1vrOjejW6z/va3v7Ve8YpXWB17O/UMGJQvExmQMrdw6bWU9zK/fb/hVvseuEPt5cDBNFxAfsZuu/3Q3LlzW9tvv32nLXjBC17Qkosm+XIwf3/xi18cvpIJXSoX8oyR7ZUBA/+KoT0JPOigg/xXRspW+xkxnTbWVm+f9KQntQ477LDWcccd1zr++ONbr3rVq1pbb71136/rfvnLX6JYILDnnnsObRds5sPmcQuoAuh/zL7++uut5wpyez2pu+973/taH/rQh1qvf/3rC7/4MQkXnoYrupd+9rOftdbr9vPPOn0JuRXXwQcf3Lkdl60+t58f0brvvvvcK6pZipT9BDlPpi83WCFSmsvaUuc/uEfVn5PChH5gcbmn8Ja1TVqfMJVjcclNLZnk/mFKc/qKrppXzeUMGFSzXFof//jHB07s5VY6p59+eku+JdQ7tR9s2LJ1cOUi4+9///vepBP1Xp774PuzawYMylcNuddwb6dSBgfkHtryrVdZJpPU1WuuuaYlv3jpTWvey33i2w/HKr/yCYpoP4S3z+6pT31qSzr+ch/A3knSye2hbIM07YdO9yblfVtg6dKlLbnVgqmLtlcGDPyrSv4kcP78+S25KO37j3bA31rqrtyKJV9n5cLf2Wef3ZK2wDbJN13lfqwnnngiv0C0Af1jnvwEW45jZf/Jc2PyZSK3O7vrrruGrI1FtvNXuZ2ezU1uxSDHubyz/C23D2CyC9x7773W82F57pQsy08f/ehHrcbyTIMmTan7CfTlBmtLavPU+Q/uUfXnpDKhH2gv+1TesrZJ6hOmdLSX3NTcSe4fpjanrzis5lV3GQMGFSwbGbGXh+flO0Tvec97CrdWDtrPeMYzBmLkG0OTOC1evLjv25TGUgYQPv/5zw90nBgwCKsl5qGEL3vZy1piXjTJwMEBBxwwUD+lXPima5Ha9Hy5p7b8k85nfsBwOtXUO+nQm/puXuVh6VyQ7Zd673vf2+ckAy3yU11jJq8MGPSbDfsrfxL4ohe9aFhylikE8nVX6qrcRueKK65Q5EqoVkCeVdDbfsh7OTYyFQvItyVXX331Pjc5l5UO+7BJHkift5aOLpNdQB4qn/eSX3UNO5/49Kc/PRCz5ZZbdr7hal9Lveam7ifQlxusD6nNU+c/uEfVn5PahH5gfx1I7S1rm4Q+4Sgc+0tu+q/8Ofak9A9HYU5fcbqe1ekdAwYVLC1bp1NuOfLYY48N3Vp58Fu+QzCpF7zkW+29FvJri6OOOqr7MGhx6V3OgMHQqlW48Oc//3lLbifgM8lDNldZZZU+dykDOXgwDRf461//2nnw0PBUU0vlAoBtwPG6667zCZ+INH/84x9bckun3jZAHir95je/uW/epLafIZWAk8AQtfIx8u0yud1bb92VX2r9+te/Lp8ZEVEFFixY0FcuUkbyKwWmYgH5VUBvXZb3H/jAB4oD/rHEdr4rbTiTXSD/azo5J7755pvtiXvmbrXVVgPl88Mf/rAnRX3fpu4n0JcbrBupzVPnP7hH1Z+T2oR+YH8dSO0ta5uEPuEoHPtLbuqvSe4fjsKcvqKt1lV/HgMGFSwjuWdrvgN11VVXeW3pM5/5zIHY3/zmN16xTUr0f//3f10HuX9o/mIpAwbjKe3dd9+9Wy6mjr/97W8fz8Y0eK177733gPN///d/N3iPy+2aDBCa+ievm2yySec2WgwYlHPsTc1JYK9Guve2i1ALFy5Mt0Jy9hK47LLL+toUaVd22mknr9hJTvTd7353wO2MM85wkshDjnvbcHn/zne+0xk3iQnk14X55yC95CUv8aL44Ac/OOAstzRrwpS6n0BfbrCWpDZPnf/gHlV/TtVMmt4PrJq31NA69gnH5TjJ/cNRmNNXrP4xw7aFDBjYVMY8b4MNNug7QZcHvw372XDv5srD4fKdqM985jO9SSbivfwa48Mf/nDr/PPPt+4vAwZWluQz5RkH+fpJJz8++2677TbgzDeQp5wvvvjiAZtvf/vbnYUMGITXRU4Cw+3KRO6xxx599Xf27NkteTYB03gF8p1MOc599atfHe9G1WDt+W+0iZs8qNs1/ehHP+r7HEjcWWed5QqbyOXypaH8edf73/9+Lwv5tuXjHve4vnjfwQavFYwxUep+An25wcJNbZ46/8E9qv6cqpk0vR9YNW+poXXsE47DcdL7h6Mwp69Y/WOGbQsZMLCpjHGePOQtf2K/zz77eG/RRRddNBD/1re+1Tt+UhIyYDCekpYHGebr96JFi8azMQ1dq9wTeq211hpwzj8kuaG7P3S35J7C8tDo3joot3szEwMGRqL8KyeB5c3KRsjtiPIPNX/pS19aNhvSRxaQW7vMmDGjr12Ri4VFD5+OvPpaZyfHpfwFafmSzB133DF0v+Rhvb3tuLz/3e9+NzRmUheec845A1Zf/vKXvTnkuQW91ltssYV3bJ0TavoJ9OXCSl5j7rPG1Pn7bEPV0ozaZNL7gaP2bmqfMLYj/UN3yxTDnL6i27mKKRgwqFip9P4cyJygf+QjH/Heyj/84Q99J/aShzzYjKlfIEaj158jf/kIbL/99gP1U26xwRRP4JOf/OSA8dZbbx1vBTXO6ZRTTumzkW9n//a3v+3uEQMGXYrSbzgJLE1WOkB+JWTOC8zrueeeWzofAuIKHHPMMQPl4vsN7rhbUs/cbLeoeM5zntO5T7Ntj0499dQB76Z86922v9p58gs6016Y189+9rPe2coD7E2cvMrtjSZh0vQT6MuF1RCNuc8aU+fvsw1VSzNqk0nvB47au6l9wtiO9A/dLVMMc/qKbucqpmDAoGKlIg8T6z0xl/dlLgjIz4ny30B81rOeVbG9HP/mxGj0xr8X9dqCW265ZaBuyzcL5SfvTHEE5AGb+c+/tCHf+MY34qygxrksXry4tfrqq/fVwWOPPbZvjxgw6OMo9UfRSaAck+SbO7631Su10glLfOaZZ/bVX/ls5x86L9ZS1+WC1d133z1hQqPf3Xvuuae12mqr9ZWLtMHyUEImPwF5gHH+VwZStzfddNO+h0ZLW/Lud7+7z1rSrbrqqi15eDKTXcD2gOh3vOMd9sSWuUceeeSA+ST8YlHTT6AvZ6lIHrM05h7Zt1Ln77MNVUszShP6ga2R1sEm9wlj1lv6h36tUgxz+op+1lVLxYBBxUrE9kDDSy65pNRWbrzxxn0n9/JzYqZ+gRiNXn+O/OUSkG9cSue+9588kJpJL3Dbbbe1jjjiiIEHG4r1rrvu2pKfpE76dNhhh/XVvfXXX79133339bEwYNDHUeqP/Emg1L2VVlqpay7fSt1ss81ae+65Z6eunnzyya1bb7211DomPbEMcPW2n/L+/vvvb/3kJz9pveENb2g985nPHLjw+sQnPrFz/9rXv/71rV/84heTThh9/0866aSBMpF7NDOVE3jPe94z4Cj1WwYSDj/88JY8HHnHHXccSCODBT/+8Y/LrWzCUttuj/P0pz/d+7zgbW9724C7PHS66ZOmn0BfLqx2aMx91pg6f59tqFqaUZrQDxzNgMEk9Alj1lv6h36tUgxz+op+1lVLxYBBxUpE7ueevyBQtpOfv0e3DCAw9QvEaPT6c+SvYQLyLcy8udRz+akkk7+A/NroxS9+cWv//fdv7bfffi359ZDteQWmDZHnnzz00EP+K2hoyp/+9KcD7epXvvKVgb1lwGCAxHuG7STQ1MOiV/kmtlwE55vwfsyvfvWrB+rxM57xjIF5Rd6zZs1qnXDCCZ1ffPitkVTDBOTXHBtuuOGAPw+YH6ZWvOxDH/rQgGVRXZb58pwIGSxjcgusscYaA7Y+vzyUX4bJuUa+HOS5HU2f8ues8mBz34m+nK9UfzqNeX9O9r9S529fa7XnjsqEfuBUPYjpPcl9wliO9A/926cY5vQV/b2rlJIBgyqVRntb3vnOdw6cmN9www2ltjJ/f8AnPOEJpeInIXGMRm8SnGLto3z7Nd/hnDdvXuvvf/97rFVMRD677LLLgGPeVf5+/OMf3zr77LN56Ga7VsgFj2222abPbeedd7bWFwYMrCxeM7/2ta/1GdvqZdG8tddeu3XppZd6rWeSE8l92osMy8zfaaeduEVUhIp01llnDZSH3I+fKVzgoosuam2++eYDrvn6fcghh3D+UIL5TW9604DpKqus0vrc5z5nzUUe2C23QJMHHOft5QHfcguHpk+afgJ9ubDaoTH3WWPq/H22oWppRmVCP3Cq5GN6T3KfMIYj/cNyrVEMc/qK5cyrkpoBg6qUxD+2w3ZAlZ+WlZnyvzCQzhdTv0CMRq8/R/4qEpBfyEgHM9/pPO+884pCmF8g8OxnP3vAMe9q/pZBA7n38L333luQ22TMzj/wS26Nc91111l3ngEDK4vXTHkWidzmSeqffJtV7j8uAzXyKxh533t7IlNHe18llvu+D6fea6+9hn7+5V76e+yxR+ulL31p64UvfGFro402Kkz/+c9/fvjKWOoUmD9//oAvxzUn29AEcqHadpun3rZC3q+77rqtT3ziEwyKD9WcXviXv/xl4FkbxlT6DDIAc9xxx7X+7d/+rbVgwYLWmmuuOVC3TXp5nYTbyWn6CfTlputemXcac5/1pM7fZxuqlmYUJvQDp0s9pvck9wljONI/nK6XPu9imNNX9JGuXhoGDCpWJsccc8zASfrvf//7UluZP4BssskmpeInIXGMRm8SnLT7KPfXftrTnjZQpw8++GBt1hMZb7uXcG8n3vZeLhrKA/gmcZIL0PLt9V6Xo446qpCCAYNCGq8F8qyMoocbyzL5VuoHP/jB7sBCb7nIe7nVFlOxgDzzJW8m93iXXx784Ac/sF48/dnPfmb9xrbcSmfp0qXFK2PJUAG5b36+LJ785Ce35MG8TGECcnshubd+3nXY31tttVWr7Dly2NbVP6rsLZ+GuU/CFxE0/QT6cmGfF425zxpT5++zDVVLk9qEfmB/icf0nuQ+odaR/mF/vfT5S2tu1kFf0UjU55UBg4qV1fHHHz/QWfrtb39baiu32267vjzkG55M/QKxGr3+XPmrV0AOCLZbaKyzzjqtP/3pT71JeV9CQB7UK7dykn+3335767LLLmvJ/fiPPvroltxiwNbJnzt3bqvsrc1KbFJlk772ta/t85BfXQy7Xz4DBqMpymXLlrUOOuigvrIx9faaa64ZzUbUcC277bZbn5k88PWqq65y7om0FXJrQmNsXs8//3xnLAnsArb7un/sYx+zJ2auU0BufzN79uyBOirnCyeeeGLrjW98Y+GvlKRuX3HFFc51kKDVOuecc6xtgWkT8q8yIGmbJ+d3TZ80/QT6cmG1Q2Pus8bU+ftsQ9XSpDShHzhY2rG9J7VPqHWkfzhYN11ztOau/PPL6SvmRcb3NwMG47O3rnnhwoUDJ+c+FwR6M8vfkmjvvffuXcz7tsCoG71JRLd1mOR2MBdffPEkcoxkn+W2A7Z7FUuH/znPec5EffvV9hPo0047bWg5MGAwlCfqQrmIbbs/NrfKKWaWh5j3Xrwr83yiD3zgA32xks+pp55avDKWFArceOONA7fZW3311bmnfqHY8AUf/ehHB+qm1E+5pV7vAK/8lF1+ndj7GTDvZbD8lltuGb4ilnYE5DzhiCOO6Dw02vj1vsqtzbbddtuWfEte6vphhx3WZy6/2puESdNPoC8XVkM05j5rTJ2/zzZULU1KE/qBg6Wd0ju/tib3CTWO9A/zNcXvb4253xoGU9FXHDQZxxwGDMahPmSdH/7wh/tOzOUk/jvf+c6QiMFF0nHtPfl/1ateNZhowueMo9GbJPKPf/zjfXXQ1MdFixZNEsPY9vV1r3ud1X+Sbk0kDx819U5ed9hhB+eACQMGo62yn/nMZ/rKSMpJvknMZBc49NBD+7zkFwa+k/zCqPfzIO9lcJGpvIDt/uTU2/KOEvG73/1u4JcD8ryT008/vTBDGVS0/ZruBS94QWEMC+wC8ow0+VXX97///c6vFZcsWTKQUB6S3tt2yIM2J2HS9BPoy4XVEI25zxpT5++zDVVLk8qEfqC9pFN529c2NbeJfUKNI/3DYbWleJnGvDhX9xL6im6j1CkYMEgtXDL/r3/9630n5nKSLh8U30nuydZ7Yi/vZYSfqV9gXI1e/1Y0868vfelLLdvP2N/61rc2c4cruFfy4Eh52Hm+LZBO7CRM8q3U/L7L31tuueXQf3PmzBmI642RX2txj/J4Nejyyy8f8OYXccW+r3nNawa85OfoPtODDz44EHv44Yf7hJKmR+Cuu+4auFgtxzv5JjZTeQG5yJ9vq33OeS+66CLreQa3JipfBq6I/O3M5L7ZkzBp+gn05cJqiMbcZ42p8/fZhqqlSWFCP7C4lFN4F69takkT+4ShjvQPXbWleHmoeXGOfkvoK/o5pUzFgEFK3YC8f/7znw90noY9pDO/Cuks5TtfH/nIR/LJJv7vcTV6TYc/99xzW7NmzRqog69+9aubvuuV2z/5ZVG+LZiUcpCLd/l9j/X3TTfdVLmyrusGiWW+XPbcc8+67k7y7T7hhBMGvH796197rVc6jHnrl7/85V6xJJoWsN3aiUGuaZ8y7x566KGW3Kawt17KrfN874//lre8pS9W8vnkJz9ZZhNI6xCQh6b3lo+8/+pXv+qIasZiTT+BvlxYHdCY+6wxdf4+21C1NLFN6AcOL+HY3sPXNr20aX3CUEf6h9N1ouy7UPOy68mnp6+YFxn93wwYjN586BptvxAo89Bi230zv/vd7w5d5yQuHFej12RreTaB7Rva8nDT5cuXN3nXK7lv73//+wc6+v/+7/9eyW2NvVFyL+v8RY5Yf//hD3+IvbkTm58cm/LlcsABB0ysh2vHv/GNbwx4ffnLX3aFdZbffPPNA7FyvsDkLyAPYJs3b96AI8/l8TfsTXn11VcPWMpxy3eyfevs2GOP9Q0nnYfAS17ykr4ykl/T3HrrrR6R9U+i6SfQlwsrf425zxpT5++zDVVLE9OEfqC7dGN6u9c2naJpfcJQR/qH03Wi7LtQ87Lryaenr5gXGf3fDBiM3ty5RrkFRu9FFPkG1uLFi51xkmC77bbri5V7wT7wwANesZOUaFyNXlONpeMu99Purbfy/kUvelHrkUceaepuV3q/ZHAgXx7y7dhJmB5++OHCBzrmTcr8vemmm7Ykb6Y4ArZva3Mv+GLb3/72twOfad9nFNlukfG1r32teGUsGRD44he/OOD/9Kc/fSAdM/wE5Jvq+fb3s5/9rF9wO5U8BDkfz60PvfmcCeXCyowZM/qMJ+nXNNp+An05ZxUbSKA1H8gwNyN1/rnV1eLPWCb0A/2KO5a339qmUzWtTxjqSP9wuk6UfRdqXnY9+fT0FfMio/+bAYPRmzvXaHs4zYknnuiMu/TSS/tO7KUjJQ92YRoUGFejN7gl9Z9z7bXXttZcc82BurfHHnu0li5dWv8drOEeyK0eNttss4Ey+d73vlfDvQnbZHnWgNy3vcy/17/+9X1m6667bl88v5QJKwtb1L333muto+eff74tOfPaAlL/8gOz0vb6PMdg++2376vbcn7wq1/9CtcSAttuu+2AYZkL3CVWNRFJf/rTnw54HnPMMd77Lsez/IDBF77wBe94EhYLyBc9DjzwwAFfeXbEpEzafgJ9ufI1RWvuWmPq/F3rr+LyGCb0A/1LNoa3/9qmUjaxT6hxpH9YtgZNpdeYh62x1aKvGCoXN44Bg7ieUXKTE/J8J2i11VZrDbsVhoyYPuUpTxmIk1sYMA0KjKPRG9yK+s+Rb7zmH4gndVfuQ8wvW+KU77ve9a6WfKtPBgR9p6OPPnqgLZBy+fOf/+ybxUSme/Ob39znJu0Ek1vgN7/5Tavsw0blVmX549w666zTko4NU7GAPIck7+b6VcYZZ5wxELPVVltxq7hi5oEll1xyyYCh1FcZkGQKExC7/DOPxHTYua5ZkwyeyRdi8p8FBsGMUPirDEC+8IUvHLB92tOeFp5pDSO1/QT6cuULXWvuWmPq/F3rr+JyrQn9wHKlqvWmTzjlrXUsV2qtFv3DVktrTl+xbK2rTnoGDKpTFn1bss022wycrG+xxRYt+bDlJ3mAizznIN9xeupTn9qSUVSmQQFtozeY4+TNueuuu1obb7zxQL2bP39+Z0R48kTS7PEznvGMrvEuu+zS+spXvlI4GHPbbbe1XvrSl3bT97YJcoGWabgAJ4TDfYqWyoUkqWtySzy5p758I6Ro+slPftKSetxbN8378847ryiM+f8QsD1MU/yOOuoo68Ni5b61ct9xY2xef/CDH2BaQkAGbY2deT3uuONK5EBSm4DtVxsyb9iF/7/97W8t2wMc11hjjZY83JtpUECeYSK/VL7wwguH3lZP+hP5W5tKfZfnU1122WWDGTd4Tox+An25chUkhvmwNabOf9i6q7pMY0I/sHyparxlbfQJp8y1jmVLjv6hfsCAvmLZWled9I+TTWmfDDJVTOCCCy7I9ttvP+tWbb755tnOO++ctb+Jlf3v//5v1j6Jz9rfyuxL237uQfb9738/a38Dq2/+JP1xxBFHZNddd511l3/xi1/0zW93hrKtt966b578Ic4f/ehHB+YzI8s+9KEPZW9/+9utFLNnz7bOL5rZvsidte8PXbR4oue3fzmU3XTTTX0G7duSZDvssEPWvu1Qtv7662ftB+x10lx11VVZ+zZQfWnlj/bATuezsPbaaw8sY8a0wFve8pbs1FNP7c5on5Bm7V9ldP/mjV3gSU96Up+TfP532mmnrP3Mh6z9kFj5YkLWvt941r4YVdgmv+ENb8g+9alP2VfA3D6B5z3veZ3jft/M9h/SVixYsCCTcwRpM372s59lv//97/PJsv333z9rD84MzGeGXaD9Dcqs3Unv1GOTQs6xxFbaVqZwgS996UvZK1/5yoEM2oNcWfsZSNmzn/3sjvHKK6+c3XnnndkNN9yQtQfNs/YvGAdivvnNb2bth/QOzGdGlp1yyilZe4CrQ9H+xXKnfW7fpiyTY5zU5T/96U9Z+x7k1nZFgqScXvGKVzSOMnU/gb7cYJVJbZ46/8E9qv6cVCb0A+1ln8pb1jZJfcKUjvaSK547Kf3DlOb0FYvrV+WXVGfsgi3JCxx//PED32hrVyiveR/72Mfy2U3U3/fff7+Xk8tz7ty5E+VWZmePPPLIKMZSBvIwWSa7gDwLwlVPhy2Xh6bLvaKZ3AJ8g8RtZEth+6XRsDqZXyb31+d5JzZZ+7wlS5a0Ntpoo6B2Qb49fOutt9ozZq5VoN2BGrBuX5i2pmVmeYH/+I//GPDNtxGuv4899tjyK56gCPl1gcuwaPn/+3//r5FSo+on0Jebrj6pzVPnP70n9XmX0oR+4GA9SOkta5uUPmFqx8GSGz5nEvqHqc3pKw6vY1Veyi2JKlw6co/W9je4WzNmzPA+0ZcHIp555pkV3qvRbNrdd9/tbVbUSZL58tBTJruA3AJjmF2ZZZtssol9JcxtXXPNNS25vVgZT5NW7kM87NYO8PYLTMIJYf8ex/lLLtaZOlfm9fGPf3zrE5/4REsesMlUTqD967lSgwZyHiG30Fm2bFm5FU146r///e8t+eJAvl4zCBuvYsitM9/0pje12r8iGHDOu+f/lod+yz2deSD98PKQWxnm7Vx/y+BimWcnDd+C6i0dVT+Bvtx02ac2T53/9J7U511KE/qBg/UgpbesbVL6hKkdB0tu+JxJ6B+mNqevOLyOVXkpAwZVLp1/bJt0TA844IDOPUSLTvDlwrY86LR9G4Ia7NFoNlEe6ljk5Tt/1113Hc3G1nAtci9cGaDytRyW7uCDD66hwOg2WS6oiPchhxwy8NChvOvqq6/eat9Kq3XxxRePbgMbsqYPfvCDffVZ7j/M5CfQvh1W5z76T37yk/sM8/VTHnLa/kl1S751OexZB35rnexUDz/8cKt9yzzrg+eNu3jLw2F/+MMfTjZW4N7ffvvtAwMG7Vs6BeZG2DCB9m1xWu94xzta8uBjU3+LXtu34mu9733vow0ZBtqzTJ7t8IEPfKDT9haZynw5f2jf7rDVvkWk9ZkoPVk24u0o+wn05aaqTGrz1PnXseKnMqEfaK8NqbzN2ialT5ja0Xj6vE5K/zC1OX1Fn9pWvTQ8w6B9hlyXqf1Nt6z9beGsfTuC7C9/+Usm94mW+0PLv/aFrc7fddkXthMBBMIF5D7O7duKdNqB9kPHsvbDHrP2Q9E7/574xCeGZ0xk1n6gZiZtrTzXRNrW9jezUSkpIM/UuP766zuWUj/bnZvO8zbk3qvy3I32ReySOZJ8mED71DK74447svaDTbNbbrml80yj9q83MmkL2g+hz9Zaa61h4SxzCLQHZjptbfubwln7gmr2hCc8wRHBYq2AtMO33XZb5588u0DaDHleRPvXiJ1/8hwfpjABeV7Br3/9685zC9qDtln7FzSdcwdpn+WYx5RWgL5cWl9yR2DSBOgTjqbE6R/GdaavGNczZW4MGKTUJW8EEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBGoiwIBBTQqKzUQAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAIKUAAwYpdckbAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAIGaCDBgUJOCYjMRQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEgpwIBBSl3yRgABBBBAAAEEEEAAAQQQQAABBBBAAAEEEECgJgIMGNSkoNhMBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQRSCjBgkFKXvBFAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQqIkAAwY1KSg2EwEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQACBlAIMGKTUJW8EEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBGoiwIBBTQqKzUQAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAIKUAAwYpdckbAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAIGaCDBgUJOCYjMRQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEgpwIBBSl3yRgABBBBAAAEEEEAAAQQQQAABBBBAAAEEEECgJgIMGNSkoNhMBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQRSCjBgkFKXvBFAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQqIkAAwY1KSg2EwEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQACBlAIMGKTUJW8EEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBGoiwIBBTQqKzUQAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAIKUAAwYpdckbAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAIGaCDBgUJOCYjMRQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEgpwIBBSl3yRgABBBBAAAEEEEAAAQQQQAABBBBAAAEEEECgJgIMGNSkoNhMBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQRSCjBgkFKXvBFAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQqIkAAwY1KSg2EwEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQACBlAIMGKTUJW8EEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBGoiwIBBTQqKzUQAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAIKUAAwYpdckbAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAIGaCDBgUJOCYjMRQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEgpwIBBSl3yRgABBBBAAAEEEEAAAQQQQAABBBBAAAEEEECgJgIMGNSkoNhMBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQRSCvx/1QivmK74co8AAAAASUVORK5CYII=\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eNOTE: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eOne is coprime to all integers including zero. Except for 1, zero is not coprime to any other integer, not even to zero itself.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function c = coprimeLattice(n)\r\n    c = round(29*n/3);\r\nend","test_suite":"%%\r\nn = 15;\r\nc_correct = 145;\r\nassert(isequal(coprimeLattice(n),c_correct))\r\n%%\r\nn = 15^2;\r\nc_correct = 30857;\r\nassert(isequal(coprimeLattice(n),c_correct))\r\n%%\r\nn = (15.15)^2;\r\nc_correct = 32133;\r\nassert(isequal(coprimeLattice(n),c_correct))\r\n%%\r\nn = 15^3:15^3:15^4;\r\ns_correct = 8586748191;\r\nassert(isequal(sum(coprimeLattice(n)),s_correct))\r\n%%\r\nn = 1234567.89101112;\r\nc_correct = 926576790685;\r\nassert(isequal(coprimeLattice(n),c_correct))\r\n%%\r\nfiletext = fileread('coprimeLattice.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":9,"test_suite_updated_at":"2021-09-24T10:12:54.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-20T19:00:46.000Z","updated_at":"2025-12-22T16:50:37.000Z","published_at":"2021-09-24T10:12:54.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven a number 'n', \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eyou were tasked to mark and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ecount all coprime lattice points\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e at the first quadrant bounded by the points (0,0), (0,n), (n,n) and (n,0).\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e A coprime lattice point is a point (x,y), where x and y are\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Coprime_integers\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e coprime integers\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example for n = 15, 145 points would be marked (see figure below).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                              \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"312\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"387\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eNOTE: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eOne is coprime to all integers including zero. Except for 1, zero is not coprime to any other integer, not even to zero 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b322iu6gX70ox+Zk046yVxzzTXBPM9+9rPNxRdfbA4++OBg2tIJmDAoLUz5CCCAAAIIIIAAAggggAACCCCAAAIIIIAAAiLQqQmDd7/73WbFihVVy11xxRXmpS99afW6buHKK680S5cuNQ8++GBdkpH1j3nMY8x5550399cGIxsnuIIJgwli81YIIIAAAggggAACCCCAAAIIIIAAAggggMAMC3RqwuC0004zH//4x6vmev/732+WL19evfYtbNq0yTzlKU8x//Vf/+XbHFx3+eWXm+OPPz6YrlQCJgxKyVIuAggggAACCCCAAAIIIIAAAggggAACCCCAwKBA7ycMPvKRj5g/+ZM/GdznanmXXXYxj3vc48x///d/m0ceeaRaP7jwpCc9ydx6661T+00DJgwGW4NlBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAgVICvZ4w+MUvfjH3Wwc//vGPh/wOO+ywua8bevrTn25k0mDr1q3mjjvuMJdeeqn5y7/8SyN/lTD4kEmHN77xjYOrJrbMhMHEqHkjBBBAAAEEEEAAAQQQQAABBBBAAAEEEEBgpgV6PWFw/fXXG/kB48HHq1/9avOpT33KPOpRjxpcXS1/4xvfmPu9g3vuuadat88++5i7777b7LrrrtW6SS0wYTApad4HAQQQQAABBBBAAAEEEEAAAQQQQAABBBCYbYFeTxisWbPGnHTSSVULywX/H/7wh2a//far1vkW/uVf/sW85jWvGdr0ne98Z+63EIZWTuAFEwYTQOYtEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBEyvJwze/e53mxUrVlTNfOqpp5pPfOIT1eu6hW3btpnDDz/c3HzzzVWSyy67zJxwwgnV60ktMGEwKWneBwEEEEAAAQQQQAABBBBAAAEEEEAAAQQQmG2BXk8YnHzyyXNfP2Sb+LOf/ayRrySKebzvfe8z73rXu6qk73//+83y5cur15NaYMJgUtK8DwIIIIAAAggggAACCCCAAAIIIIAAAgggMNsCvZ4weNGLXmSuvPLKqoX/8z//0zznOc+pXo9b+Kd/+ifzB3/wB1WSN7zhDebjH/949XpSC0wYTEqa90EAAQQQQAABBBBAAAEEEEAAAQQQQAABBGZbYKYmDO68805z0EEHRbX4tddea573vOdVaX/v937PfOELX6heT2qBCYNJSfM+CCCAAAIIIIAAAggggAACCCCAAAIIIIDAbAv0esLgd3/3d81XvvKVqoUfeOABs2jRour1uIUvfelLRiYJ7ONVr3qVkR9DnvSDCYNJi/N+CCCAAAIIIIAAAggggAACbRHYet89ZsPay8zW++8xW+67d+556/33mgX77j9XxQX7HmAW7rdjedfjl5pdjljSlqpTDwQM8UsQIIBAFwV6PWEgF/kvvfTSql3uvvtuc8ABB1Svxy3IjyPL1xDZx7Jly8zHPvYx+3Jiz0wYTIyaN0IAgRkXYDA/4wHA7iOAAAIIIIBAawQ2fesGs3ndDWb9Basb10kmEmTSgMmDxnRkyCRg43fDFZdun+C6t1GpxG8jLhIjgEAhgU5PGIjJwoULa2m2bNkytO073/mOecpTnjK0ru7FmWeeac4999xq84oVK8zKlSur15NaYMJgUtK8DwIIzKIAg/lZbHX2GQEEEEAAAQTaKiBjs41rLzUbrrgsSxV3O+6VTBxkkaSQGAG5AWn9+auzxK+dONj99DPMgv3ibnyNqWNf0nCzV19akv1oq0DnJwyawF599dXm6KOPjsrypCc9ydx2221V2rVr15rjjjuuej2pBSYMJiXN+yCAwCwJMJifpdZmXxFAAAEEEECgCwKPrDwzy4VWd1/thdc9V65yN/EagWwC689bnfQXMaEKEL/zQtzsNW/BEgKlBTo1YfCmN73JfPSjH002ueKKK8xLX/rSYP6bbrrJHH744VU6uWj/4x//2Pz6r/96tW5SC0wY5JdmJjq/6WCJ+A5qsNxGAQbzbWwV6oQAAggggAACsyogFwFlfLb5xhtqCeQvBeS3CnY+colZuP0rh+SOaznvkMeW7V/5Ys9BxpUhF173Om8Nd2vXKrMhVeCh008sHr87H77E/MrKD8xk/Mrnm7/cSI1O8iGQJtCpCQP5AeOlS5eahx9+uPHe7r333uaWW24x++23XzDv6173OvPP//zPVTr5qwT564RpPJgwyKNuZ6L5Dsw8nm4p1pfvaHRleN02AQbzbWsR6oNAtwTsBSl+eDNvu+Ga15PSEOiSgJxHPLzsRG+V5QLpbse/cvu/pd7tvpXSn0iZ8iPJvskDmTSQr3hpUqbvfViHgAhIrMlfxvh+p6BU/MpfyszSD3tzsxefNQSmI9CpCQMh2rBhg/n5z3/eSEsuusuEQd3F98HCNm3aZPbYYw+zefPmavWnP/1pc9JJJ1WvJ7lQV+dt27ZNshqdfS85gPMdmOWaj5n+craUnFeAwXxeT0pDYJYEpP/ghzfzt7h15WaD/LaUiEBXBKQf8E0WyIXW3Zedob4oukF+C8EzccCkQVcipN31rIvfXPEl8St31buTEVL+rEwacLNXuz8D1K7fAp2bMJhEc7z//e+f+/0CuVj/1Kc+1bz1rW81CxYsmMRbj7wHEwYjJNEr+A7MaKqkhMz0J7GRaQoCDOangM5bItADAek7uOkgf0Nys0F+U0pEoIsCdeMzmSzY6/w12Xaprs+Ri658PVE25pks6MHjnz9yMZ/4zRMK0j/wlxt5LCkFgVQBJgxS5SaUjwmD5tBycOE7MJu7NcnBTH8TLdJOW4DB/LRbgPdHoHsC3HRQps242aCMK6Ui0EUB3/hszxUfKPZVQXK39iNnLx+iYtJgiIMXDQR858PyOxslflhbJr3kL2Xcr1fOPTnRYPeLJq2bTOQvN4qyUzgCIwJMGIyQtGsFEwbN2qPu4CKlyAGV78Bs5ummZqbfFeF12wUYzLe9hagfAu0S4KaDcu3h648H3y3HD5rKWG9WfxBy0JJlBNou4OsPHr39x4hLfy+7b9Kg1EXetrcB9UsX8N1UMIk48k26T+J906XScvomE3NPjvCXR2ltQ67ZEmDCoOXtzYRBfAPVTRbIwYXvwIx3rEtZ58tMf50Y66ctwGB+2i3A+yPQLYG645zsBTcdpLeluPK1Aul+5ESgbwK+vnaSFz19F10nMVnRt3ac1f2RC80PvuyYod3PfTF7qPCBF76L3H37KxnfZGKp/mHW/nJjIJRYRCBKgAmDKKbpJWLCIM7eN/CUnLkP3r6DtLxP3w7Usk/ug5l+V4TXbRZgMN/m1qFuCLRPYNw4gpsO0turzpWbDdJNyYlA1wXcC4K5z9dCPjJG/N+Vy83mG2+okk66DtUbs9A5AfeGJDmeLVp79cT2Q+L3oWUnDv12QqkL6hPbqf97I9dWVk9i33yTiJN430n78n4INBVgwqBGbOvWreab3/ymWbhwodljjz3Mk5/85JqUZVczYRDn67uYzXdgxtnFpHIH9pKn1EFUBkGz9B2NMf6kaS7gDjgZzDc3JAcCsyJQd1E79wUkOb6tP3+12XDFZUO0fb7pwDc+w3Wo+XmBwEwJ+L4SaBp39/v6/WnUY6Yavwc7K8dx968LSl5zqCNzP0cyjpDfTij9lV519cmx3mebe7xQV0/f+KzPY7M6B9Yj4AowYeCK/N/rD33oQ+Ztb3tbtfX66683S5YsqV5PaoEJg7C072L2JAZ87oFaalrqInpYoVwK98LrpPaTmf5ybdr3kn0DTgbzfW919g+BdAHfRe2SfYZv/NDHE1Pf+KzUOEn6fW42SP8MkBOBSQm45xWl+oSY/WlTXWLqS5rpC7gxI8fuSf51waCAe4yd5mdpsF6py9O2lXFEX/9yI7VNyIcAEwY1MXDWWWeZc845p9r6xS9+0Rx77LHV60ktMGEwXtp3d8gkD5a+i9qTmKwYr5Jvq+/CKzP9+XwpqYzAtAecg3vVt8H84L6xjEAfBNzPqOzTJI7jvkmDSY5fSred2w/L+01i/3zjskm8b2lPykegLwI/O/IJQ7uy6PKrzIL9DhhaN6kX7nnONC/+TmqfeR+dgHuDQcmbC0I1dccRXY5f97Mo+z4NW59p1/9yIxRHbEdgnAATBjU6TBjUwLRstXuiP6mL2ZZBDm59/g5M94R/0gMR8WWm30Ybz7ECDOZjpUiHwGwLcNNBmfb3nfhPanwm7+1+7ZOMXfY6b83ULkqWUaZUBLon4Otzf3Xd96e6I+655CQmjKe6w7x5soDv2DbN+PXVp6vxO+1rDoNB4fYJ3HQwqMPyrAkwYVDT4kwY1MC0aLU7AyxVm8ZB0jf4nUY9cjeNbxDCTH9uZcrLLeCLWwbzuZUpD4F+CLgnhZO6qG31pL/q400H0z7xF1duNrBRxjMC7RFw+4bdTzvDyI/KT/Phnk9ycXCardHu93b/gq0NseKOY9pQp5RW5GavFDXyIFBegAmDGmMmDGpgWrTaHXRO8wDZprrkaiJ3nyb91wWD+9GXwdDgPrFcRoDBfBlXSkWgbwLuRSLZv2lM9vftpgPfpC03G/Tt08P+IJAm4J5bTKNvcGvuHgumeT7p1o3X7RIgfsu0h2/cwM1eZawpFYGmAkwY1IgxYVAD06LVfAdm2cZgpr+sL6WXEWAwX8aVUhHom4DbV0zzIlGb6qJtZ3dfuNlAK0p+BPoj4J5bTPP3C6yqO2k76b80s/Xguf0C7g1s07jJwFXqQ/xys5fbqrxGoD0CnZowWLZsmVmzZs1E9DZu3Gg2bdpUvRc/elxRtGLBPThKpaY5Ey3v38ZBhNQr5cFMf4oaedog0MbPodtfcTLahkihDrMuwE0HZSLAvSA4zTuI3TuHpzl5UUabUhHoloDbP7RhwsA956Gf6FZMTbK2xG8ZbfdGg2mOG+weuuOHad5UYuvEMwLTEOjUhMEznvEMs27dumk4GSYMpsJe+6bugYXvwKylStrATH8SG5laIMBgvgWNQBUQaLmAO4kn1eWmA32juRfepu3qq08b7gjVS1MCAt0UcCdqp93vWsW21svWj+d2CLQxTtzjXBcnvLjZqx3xTS0Q8Al0asLgsMMOM7fccotvP4qvY8KgOHGjN3AnDJiJbsQXTIxvkIgELRVgMN/ShqFaCLRIwD3GcdNBnsbhZoM8jpSCQF8F2nhTh1i3cezY1xjo8n61NU7aWq/Ytm5jv9CHiZhYf9IhME6gUxMGRx99tLnmmmvG7U+xbW2bMJAd3bZtm9lpp51m8vmWQw82B+66c9XeT7/1LnPXhk1T9di47nrz8LITqzrJ14485oKLO9k+a3/nAPPcRz+q2peX3X6fufahX+A7o5+3LvUzPz3i8VXcyoLcvdaG+re1XrN8HGlDXOA/nXHM/654h9lwxWVVXyE3HTzqZa+a6vH69XvvZf7u4H2qOv3TTx82b/rhj1vRf8XGKa7TiefY9iEd7TPt4x7nF7N53j7tuMv1/m28/rDl3rvNgy87pho7yF8YPPaK/5jqeKaptzvh8WvfumPq9e+Da9N2SE1fBR8LvRTo1ITBhRdeaE499dShhli8eLE56qijhtbleHHzzTebW2+9tSqqbRMGsz7of+C4o83W+++t2ke+A3Ph/gdO9eBy0G67mJsOOaiq090bN5unffvOTp3s27jCl5PK1EHDtPMxmOdk1PZjPNOP1fVHbewn+nDTARcD6X/pd+l36/pdWf/z015vNt94Q3WuJF8RtuuRz5rq+dtRe+1hLn/iflWd/vPhX5rjb7unk+dvfP7Kfv6I3zK+bb2pqq31auPnvOpAWeidQKcmDET/xS9+sfna175WNcShhx5qbrzxRrNw4cJqXY6Fs846y5xzzjlVUW2cMKgqN4ML7ky09jsw7eBWS5m7Xtr6pObPvR85fPnTwPrWzOFbX3q3tpT4Hkytr/t96fzo8XBMaX2HS+OVK4CvK2JMzj9/z+Xbh2NcTlfbalrfPrhaixLPWt8SdepTmfgOt6b7dXDaHxLN4evWqQ1fUTesNr1XOXynV/v87+zGivYrkXP4tvGrAJvKlxg7SB00vowdwq2o8Q2XToq2CHRuwuCOO+4whxxyiFm/fn1luHr1avPmN7+5ep1jgQmDHIrlyihxYMnR6eW+0F5OcHzJJfYD3/Hm2q05fLV1aEP+3IN5u08a3z4M5q1DqWeNb6k69alcfIdbM/cxLpdv7noN73X5V6Xqr/HlpD/c7hrfcOmkwHc+BjasvdQ8cvbyakWOH2jV+rrnlNqLwNXO9WRB69sThrndcONXO+ElhWp93fOeLk54lbjZy8Zdqi83e1nB8c+pvuNLZWubBDo3YSB45557rjnzzDMrx0WLFpnbbrvN7LPP/He/VhsTF5gwSISbULbcB5YcnV2fDizu4Fm+8mnBfgckt24OX0766/lz+NaX3q0tDOa71V5SW+K3bJvhO+qb8xiX07fUBfdRgTJrStQ/h2+JepURnHypOXwnX+vuvCO+w23ljuVlq3wt0S5HLBlOGPlK6+urj/av1iOr3olkWt9O7GSDSrrxop3wyuHrHt+05+wNOLIldSc9ck3aaXy52SvcvBrfcOmkaItAJycMtmzZYp75zGfOfRWRhZTfNvjEJz5hX6qfmTBQExYtIPeEgVRW2+n1acIA36LhW6RwbfwWqdQUCs09mLe7oPHtw2DeOpR61viWqlOfysV3uDVzH+Ny+PZhDJFzImawxTS+pY4Jg/Xr+rLGt+v7Pon64zus7Pa/2ru0Nb656zK8p/14pfHth8DwXrgxo5nwkpI1vu5NUtoJjOE9ndwrdz+0fcJgzVN93UmMLv7lxqBDqeVU31L1odz8Ap2cMBCGm266aW7SYPPmzXMqEqzXXXededaznpVFiQmDLIzFCnE7ce2BJUdn59apywcWd1+0M/05fJnpr/845fCtL717WxjMd6vNiN+y7YXvqG/OPiKXbx8mDHK62lbT+vbB1VqUeNb6lqhTn8rEd7Q13YuDkiL1oqvG1+0bNPUY3ct+rNH49kNgdC/c+NVcpNf6usfcrl57KDWxr/HlZq/R2HfXaHzdsnjdXoHOThgI6fLly82qVasq3aVLl5pLLrmkeq1ZYMJAo1c+b86Dta2tttNz76zTXmS39ZrGs+urnZCRfdD6upMYXR0UlWpPrW+pek2jXDd+NYN5W/9U374M5q1DqedU31L16Vu5+A63qHs80R7jcvi6deriMc7dh1zjII0vNxsMx77vlcbXVx7rhgXwHfaQV+7YaOfDl5i9zl8zmjBiTapvzjpEVLOzSVJ9O7vDgYq7F7clueZYl+rrnutIPVIn3iTvtB/u5zHXvqT4urY5ziOn7Vvq/VN8S9WFcssIdHrCQH74+DWveY35xje+YRYsWGBe/epXG/kB5ByPdevWmb/4i78wDzzwgDnwwAPNBRdcYPbee+8cRTcqQz6Evse2bdt8q2dmne9grTmwaDs7X326/B2Y7v5oD5RaXwlsZvrrP945fOtL794WN35lDxjMt7cdid+ybYPvqG/Ok8Fcvn246cB11U7ESMtpfd1JjC5OxIxGcL41Wt98NelnSfj629V3d3/KZzPV1704KbXUnEf697L7a1N9u7/n4/fAPa6knidrfN0xQ47j7fi9LrvVHT+kmg7WMtXX7R9S+qbBevR1OdW3rx593a9OTxj0tVEG90s+iL7HrE8YiInbmWsPlJpOL3ddfG0+6XXuPmkH0hrfEoOISXuWfj+Nb+m6TaP8XIN5W/cU374N5q1FiecU3xL16GuZ+A63rG9SUXOM0/r66tPFmw7c/chxwi8tp/HlZoPh2Pe90vj6ymPdsAC+wx72lTtOk/UpF+aa+vomK7TnkHaf+vjc1LePBu4+ucc62Z76VzIpvu45urx/F3/sWOptHz5Tzc1ettymvu41BylHMz609ejrc1Pfvjr0eb+YMGh568qH0PdgwsCYnB26prPzDTz7cGBxfTUn/hpfiX93YJRyQuH7HPVlnda3Lw6D++EbeDKYHxRqzzLxW7Yt8PX7useV1AtGOXxz1cW/p5Nd6+6Ldjyk8c05jpms4uTeTeM7uVp2953wrW87Gac9tOxEs/X+e6tEcq6x23FLze7LzqjWjVto6us7Z9Oc34yrWx+2NfXtwz7H7oP7dXeSr+n5aYpvrom22P2cZDp337SfzRRfbvaKb/EU3/jSSdkWASYM2tISNfWQD6LvwYTBDhX3xDT1gqCUltrp5ayDr62ntc53wVUz05/q657wi4f2AsS0TEu+b6pvyTpNu+wcg3m7D0183QGvlNH0JMK+76w8N/GdFZOc+4nvqGbOY4vG13cBq8vHONdVe8IvLZfq647P6IdHPwcaX39prHUFUuPXLaePr33nGrKfTSZwY33d/sB6drm/tftQ8jnWt2Qd2li2xO7681ebDVdcNlS9pseZJr6+8wvNtY+hirfgha8/0O5fE19fH9H1v9wo3axNfEvXhfLLCDBhUMY1W6nyIfQ9mDDYoeI70W56oJaSUjs734GlTwNPd2CSeuKf6ittw0y/KIx/aHzHl9ztrQzmu9F+xG/ZdsK33tc9hqecmGp9c9Shfg8nv8V3ws/NBpNvh9h31MZv7PvMajp8wy3vO5eTXHLOsefKVWaXI5bUFhLjK+XL+czgXzLYAvt0zmb3KedzjG/O9+taWXK8c/9KRvYhdizRxNcdK8j7pJ6XS962PrjZq60tM1qvJvE7mps1XRFgwqDlLSUfRN+DCYN5FfeitmyZxKSBb4Db5I6Y+T1o75LvxD92EOTuVcpBxTc4Yqbfld3xOsXXX1K/1moH81YjxtcXr30czFuTnM8xvjnfb9bKwtff4r7j+CTGD7Y2vj6jDxew3HGZth9MiV9uNrBRFn5O8Q2XSgorgK+VqH/29cU2tZx3yFcU1U0c1PlKmXLxcfONN9iihp770NcO7VChF3W+hd6uc8X6zpVlJ+S4t/vpZ5jdjl86dp9CvvJXe/KXDLMy4SWeOf5yw6KHfCWdO2aRdanXOyTvLD1ifGfJo4/7yoRBy1tVPoS+BxMG8yq+C4JykOY7MOeNNEs5ZvpTDia+g3fKhRzNvnclb4pvV/YtRz0ZzOdQLFcG8VvOVkrGd7yv9liT6uu7QNaXmw58fW7qyXeKr28ihpsN/J+DFF9/Saz1CeDrU/Gv853PDaaUczuZNNj1/y7ALtz+euH+Bxo5J5a8W7b/FoI8b94+UeB+TcxgOdIX/crKD5gF+x0wuJpljwDx60HxrBoXuxK3dX8pM8533ETBuDI91evcqjrPpuOIcb4WxTdeEN9Fa6+2SXiuEYjxrcnK6g4JMGHQ8saSD6LvwYTBsIocWB582THDK7e/anLyHdvp+Q4s8sZ9vVNFbHPM9Mf6iqXvAk7TQYKUM0uPJr6z5GL3tW7wKdtjBt4+31kezFvXXM8+31xlUw6TBuNiwNc3SJ/ATQfj1MLbctxsYN+lSf/gGz9ws4GV9D838fWXwNpxAviO0xneVnfOMZwq/VWT88L0d+lXTuI3rj1DsSvjCpnw2nn7P5mskgkveRbfLffe3WjCa6/z18RVqsOpxNN3bUccY/5yw+56XfyOO4fr6zUda5Lzuc4353tQ1nQFmDCYrn/w3eVD6HswYTCq4rtbT1KlXgx030HKlxPRWfmTwMH9911Qke2xF/GbHEx8EzLShsz0D7bI8HIT3+Gcs/WKwXw725v4Ldsu+IZ9605MYy4uNfX1HeOkhn07Qa3rb5tevG/i65ssiB2nhKOknyma+PZToOxe4ZvmK/3H/65cXvt1Qk1LlX6AvypoqsbNBk3FJG43rL3MrL9gddOsUeljxiRRBXUkkXj6fiNCqp96fWfcREFMmR2hm0g1Ob5NhHnqb8KEwdSbYHwF5IPoezBh4FMxpm7SQFLLYJHvwPS7xayVg7Zmpj90UBl3AO/bhZQY76ZpQr5Ny+tregbz7WxZ4rdsu+Ab9q0bP8ScQMb4zuJNB3Un+00v4sf4+iZiuNkgHPeSIsY3riRS+QTw9anErZM+RCYO5FH3WwR1JcnnX+7olruR+fqhOqXweuI3bOSmkLj1/XW+my72tUwUzGochyzt59z9yw2xlbxHP+mJ5mtrPh31VWWz8JcbsTEXm47+IVaqu+mYMGh528mH0PdgwsCnsmOdHBzqZqMlhT2w8B2Y9YZ1W8bZiivf0VgnV3Y9B+vmvqEBaNMSZ3kw39TKTU/8uiJ5X+Mb71k3aSAl1N10EPKVMmf5hzelr+Vmg/gYnHTKUPxOuj59ez9887Wo9CXSn8pvFGy5b/vvFdx/T/VX33IOsmDf7V/zst+O552PXFL7I8n5atT/kohfXRvbmJW/OmDCK91SHPnLjXS/UjnpH0rJtqtcJgza1R4jtZEPou/BhIFPZX6dHFhyzuzPl7xjadb+JHBw/0O2dkLGnemXWOY7Ggcl8y5z0E7zZDCf5pY7F/GbW3S4PHyHPca9kj6Bmw7GCTXfNs503M0G9p188TvurxJjyrRl88xfGJSOAV/8ln7PWSof37KtjW8eX3u+ETPhtdvxr+SvYjzsYpjz+g43e3mQG66if2gI1sHkTBi0vNHkQ+h7MGHgUxldJwcWvgNz1EW7RlyZ6dcq5svPwTqPJYP5PI5NSyF+m4o1S49vMy9Jnfuk1K3BLN50EDLlZgM3Sibzmv6hrDO++JYVKFs68YtvWYG00u35Gn+5keaXKxf9Qy7JdpfDhEG722fue0V9VWTCwKdSv04OLHwHZr1P6pbQBYCm5TLT31RsPj0H7XmLEkv4llCdLxPfeYsSS/imqdqxQ9OvEqh7t1n/4U3x5GaDuuiY3nr6h7L2+OJbVqBs6cQvvmUFdKXLuGLcV5Vdc/sd5oV/8Pq5ryzjLzd01r7c9A8+lX6tY8Kg5e0pH0LfgwkDn0rcutCBhe/AjHMcTGVNmekfVJncMgfrstb44ltWoGzpxK/eV45x3HSgd7QliCdfK2A1pvtM/1DWH198ywqULZ34xbesQNnSiV98ywrMRulMGLS8naWj8z2YMPCp6NZxUNH52dx28oDvaLQik3kmfss644tvWYGypRO/+XybHOP44c3x7taSmw3GO5XeSv9QVhhffMsKlC2d+MW3rEDZ0olffMsK9L90Jgxa3sbSyfkeTBj4VNLXcTBJt4vJiW+MUnoafNPtYnLiG6OUngbfdLuYnPjGKKWnwTfdbjCnnTzgZoNBlfLLxG9ZY3zxLStQtnTiF9+yAmVLJ37xLSswG6UzYdDydpaOzvdgwsCnolvHQUXnF8qNb0hItx1fnV8oN74hId12fHV+odz4hoR02/HV+YVy4xsS0m3HV+cXyo1vSEi3HV+dXyg3viEh3XZ8dX6h3PiGhHTb8dX5dSE3EwYtbyX5EPoeTBj4VNLX0dml28XkxDdGKT0Nvul2MTnxjVFKT4Nvul1MTnxjlNLT4JtuF5MT3xil9DT4ptvF5MQ3Rik9Db7pdjE58Y1RSk+Db7pdTE58Y5TS0+CbbtelnEwYtLy15IPoezBh4FPRraPT0/mFcuMbEtJtx1fnF8qNb0hItx1fnV8oN74hId12fHV+odz4hoR02/HV+YVy4xsS0m3HV+cXyo1vSEi3HV+dXyg3viEh3XZ8dX5dyM2EQctbST6EvgcTBj6V9HV0dul2MTnxjVFKT4Nvul1MTnxjlNLT4JtuF5MT3xil9DT4ptvF5MQ3Rik9Db7pdjE58Y1RSk+Db7pdTE58Y5TS0+CbbheTE98YpfQ0+KbbdSknEwYtby35IPoeTBj4VHTr6PR0fqHc+IaEdNvx1fmFcuMbEtJtx1fnF8qNb0hItx1fnV8oN74hId12fHV+odz4hoR02/HV+YVy4xsS0m3HV+cXyo1vSEi3HV+dXxdyM2HQ8laSD6HvwYSBTyV9HZ1dul1MTnxjlNLT4JtuF5MT3xil9DT4ptvF5MQ3Rik9Db7pdjE58Y1RSk+Db7pdTE58Y5TS0+CbbheTE98YpfQ0+KbbxeTEN0YpPQ2+6XZdysmEQctbSz6IvgcTBj4V3To6PZ1fKDe+ISHddnx1fqHc+IaEdNvx1fmFcuMbEtJtx1fnF8qNb0hItx1fnV8oN74hId12fHV+odz4hoR02/HV+YVy4xsS0m3HV+fXhdxMGLS8leRD6HswYeBTSV9HZ5duF5MT3xil9DT4ptvF5MQ3Rik9Db7pdjE58Y1RSk+Db7pdTE58Y5TS0+CbbheTE98YpfQ0+KbbxeTEN0YpPQ2+6XYxOfGNUUpPg2+6XZdyMmHQ8taSD6LvwYSBT0W3jk5P5xfKjW9ISLcdX51fKDe+ISHddnx1fqHc+IaEdNvx1fmFcuMbEtJtx1fnF8qNb0hItx1fnV8oN74hId12fHV+odz4hoR02/HV+XUhNxMGLW8l+RD6HkwY+FTS19HZpdvF5MQ3Rik9Db7pdjE58Y1RSk+Db7pdTE58Y5TS0+CbbheTE98YpfQ0+KbbxeTEN0YpPQ2+6XYxOfGNUUpPg2+6XUxOfGOU0tPgm27XpZwzPWHw05/+1Hz+858369evN495zGPMiSeeaCTw2/Soqw8TBvlbiU4vv+lgifgOauRfxje/6WCJ+A5q5F/GN7/pYIn4DmrkX8Y3v+lgifgOauRfxje/6WCJ+A5q5F/GN7/pYIn4DmrkX8Y3v+lgifgOauRfxje/adtKnOkJg7e//e3mgx/8YNUmX/7yl81LXvKS6nUbFuRD6HswYeBTSV9HZ5duF5MT3xil9DT4ptvF5MQ3Rik9Db7pdjE58Y1RSk+Db7pdTE58Y5TS0+CbbheTE98YpfQ0+KbbxeTEN0YpPQ2+6XYxOfGNUUpPg2+6XZdyzvSEwVve8hazevXqqr0uu+wyc8IJJ1Sv27AgH0TfgwkDn4puHZ2ezi+UG9+QkG47vjq/UG58Q0K67fjq/EK58Q0J6bbjq/ML5cY3JKTbjq/OL5Qb35CQbju+Or9QbnxDQrrt+Or8QrnxDQnptuOr8+tCbiYMmDDoQpwWryOdXVlifPEtK1C2dOIX37ICZUsnfvEtK1C2dOIX37ICZUsnfvEtK1C2dOIX37ICZUsnfvEtKzAbpXdqwmDTpk3mu9/9braWWbVqlfnMZz5TlSdfT/TCF76wem0XFi5caJ761KdO5fcNpKPzPfgLA5+Kbh0HFZ1fKDe+ISHddnx1fqHc+IaEdNvx1fmFcuMbEtJtx1fnF8qNb0hItx1fnV8oN74hId12fHV+odz4hoR02/HV+YVy4xsS0m3HV+fXhdydmjB4z3veY/7yL/9yKq5f/OIXzbHHHjvx95YPoe/BhIFPJX0dnV26XUxOfGOU0tPgm24XkxPfGKX0NPim28XkxDdGKT0Nvul2MTnxjVFKT4Nvul1MTnxjlNLT4JtuF5MT3xil9DT4ptvF5MQ3Rik9Db7pdl3K2akJg6VLlxr5nYFpPD72sY+ZZcuWTfyt5YPoezBh4FPRraPT0/mFcuMbEtJtx1fnF8qNb0hItx1fnV8oN74hId12fHV+odz4hoR02/HV+YVy4xsS0m3HV+cXyo1vSEi3HV+dXyg3viEh3XZ8dX5dyN2pCYOXvOQl5qtf/epUXD/60Y+aP/7jP574e8uH0PdgwsCnkr6Ozi7dLiYnvjFK6WnwTbeLyYlvjFJ6GnzT7WJy4hujlJ4G33S7mJz4xiilp8E33S4mJ74xSulp8E23i8mJb4xSehp80+1icuIbo5SeBt90uy7l7NSEwYte9CJz5ZVXTsX3c5/7nHnFK14x8feWD6LvwYSBT0W3jk5P5xfKjW9ISLcdX51fKDe+ISHddnx1fqHc+IaEdNvx1fmFcuMbEtJtx1fnF8qNb0hItx1fnV8oN74hId12fHV+odz4hoR02/HV+XUhd6cmDI477jjzb//2b0Ou8mPE8rsGe+2119D6mBfyVwOf//znq6Snn366OeGEE6rXdmHnnXc2xxxzjJHnST/kQ+h7MGHgU0lfR2eXbheTE98YpfQ0+KbbxeTEN0YpPQ2+6XYxOfGNUUpPg2+6XUxOfGOU0tPgm24XkxPfGKX0NPim28XkxDdGKT0Nvul2MTnxjVFKT4Nvul2XcnZqwmD58uVm1apVI7777rvv3PqTTjppZNu4FW95y1vM6tWrqyTy+wi+CYMqwRQW5IPoezBh4FPRraPT0/mFcuMbEtJtx1fnF8qNb0hItx1fnV8oN74hId12fHV+odz4hoR02/HV+YVy4xsS0m3HV+cXyo1vSEi3HV+dXyg3viEh3XZ8dX5dyN2pCYOf/exn5rTTTqv94eOjjjrK/N3f/Z152tOeFmXPhEEU00wkorMr28z44ltWoGzpxC++ZQXKlk784ltWoGzpxC++ZQXKlk784ltWoGzpxC++ZQXKlk784ltWYDZK79SEgW2Sr3zlK+aMM84w3/ve9+yq6nnhwoVzP078nve8xzz2sY+t1vsWmDDwqczuOg4qZdseX3zLCpQtnfjFt6xA2dKJX3zLCpQtnfjFt6xA2dKJX3zLCpQtnfjFt6xA2dKJX3zLCvS/9E5OGEizbNq0yXz4wx827373u83DDz880lJ77723ee9732v+6I/+yEhH4XswYeBTmc11HEzKtju++JYVKFs68YtvWYGypRO/+JYVKFs68YtvWYGypRO/+JYVKFs68YtvWYGypRO/+JYVmI3SOzthYJvn/vvvN2eeeab5x3/8R7tq6PnII4+c+5qiJUuWDK2XF0wYjJDM9AoOKmWbH1+979b77jEb1l5mtt5/j9ly371zz1vvv9cs2Hd/c9ddd5nFz3quWbjf/nNvtOvxS80uR4z2e/pazGYJxG++dh8Xx/IuC/Y9gDjOxz1XEvGbGdQpDl8HJPNLfDODOsXh64BkfolvPlDGD/ksY0sifmOl0tLhm+YWmwvfWKm0dPimuXUpV+cnDCz2tddea/70T//U3HLLLXZV9SyBfOqpp5r3ve99Zp999qnWM2FQUcz8Ap1d2RDAN91307duMJvX3WDWXzD/A+2xpclEgkwaMHkQK+ZPR/z6XZqsJY6baOVNS/zm9XRLw9cVyfsa37yebmn4uiJ5X+Or92T8oDdMLYH4TZWrzzc46XXlZy42z3vi47ffALbj5i/JxU0z9XZNtxC/TcVG0w/GKzcrjvrMwpreTBhIY23ZssV87GMfM2eddZZ54IEHRtpv0aJF5uyzzzZ/8id/YuS3DpgwGCGamRXjOj9B4GCdPxQ4aDczlROkjWsvNRuuuKxZxprUux33SiYOamxiVhO/MUqjaYjjUZNprCF+y6rji29ZAX3p48a9/IWi3ndcCfQP43TqtzF+qLeZ5BbiV6/NpJfeMLUE4re5HPHa3KzPOXo1YWAb6n/+53/Mu971LvPxj3/cbNu2za6ung855BDzt3/7t+ayyy4zq1fP37Urr0844YQqXRsWpJPzPXz75UvHunkBOr95i0kvcbBuJv7IyjOzTRQMvrP9i4M9V64aXM1yQID4DQDVbCaOa2AmvJr4LQuOL75lBdJLZ9ybbpcrJ/1DmiTjhzS33LmIX52o9MHc/KUz1OQmfpvpEa/NvGYldS8nDGzjrVu3bu5rim644Qa7auwzEwZjeTq7kc6vHU3HQTvcDhKr689bbTbfWN9nyV8KyF/A7HzkErNw+1cOLdjvACN3Di5evNh8/7pr55bldw7GlSETB3udt2Yub7hWpBAB4jc+DlLieOH+B5ot99499yZbtv9ptr0bljiOdx+Xkvgdp6Pfhq/ecFwJ+I7TGd3GuHfUZJpriN94fcYP8VaTSkn8pkkz6ZXmljsX8RsnSrzGOc1iql5PGEiDyp34n/zkJ8073/lO85Of/GRsGzNhMJankxvp/NrRbBysw+0gJ0kPLzvRm3Dnw5eY3Y5/5fZ/S73bfb5ywVXKrJs8kEmD3U8/o7ZM7xvN6Eqf74xSBHc7JY7H+RLHQfJggnG+wcwkCArgGyRSJcC3GR/j3mZepVMTv/HCjB/irSaVkvhtLi1xHHvz10ve8U7zH9+7vbr5S96Nm2aam9flIH7rZObXN4lXblacd5ulpd5PGNjGfPDBB82KFSvM3//938/91oFdP/jMhMGgRreXUzo/7nAt2+YctOt9606SZKJg92VnzP1wcX3uHVvG+W6Q30Lw/NUBkwYh1fnt43znU832kiaOY3yJ4/T4ivFNL52c+JaNAXzDvinjXv5CMeyaIwXxG1Zk/BA2mlYK4jdevi6OpYS6m7/G+XLTTLx9XcpxvnV5ZmV9Sry6NoO+xKur04/XMzNhYJvr1ltvNW9+85vN1VdfbVdVz5/73OfMK17xiup1GxbkQ+h78BsGPpUd61I6v8HOzi2Zzs8Vaf56nG/z0vqVoy5eZWC51/lronY2xlfieP35q0d+G4GvJwoTx/iGS+l3Ck0cN/EljpvHURPf5qWTA9+yMYBv2Leu/5WcdRepbKk+X8a9Vkf/7PPVl9qvEuriN2Yc3MSX8UPzuGni27z0fuUYF8d1N3818eWmmebx0sS3eendzpESr+4ej/MlXl2t7r6euQkD21SXXHKJueCCC8wdd9xhtm7dan7zN3/TfPaznzUHHHCATdKKZ/kg+h5MGPhUzNxXsPi+1kUGnXUHa1vSuE7PpqHzsxLNn2N8m5fa/RwPHv98s3X7d7YPPvZc8YHGXxUU6ysx/MjZywffbvtvIvCbBkMgnhexvp6sM7FKG8dNfYnjZmHV1LdZ6aTGt2wM4Fvvy0l/vU1bthC/41uC8cN4n2lvJX7DLTCuHw7d/NXEl0mvcFu4KZr4unn7+loTr67JOF/i1dXq5uuZnTDoSnPJh9D3YMJgVEXT+Y3r7Nx3ovNzRcKvm/iGS+tPiodOP3Hkx4kfvf3HiHc5YkmjnWzq67vYKj+mvOfKVY3ed1YSN/WdFRe7n9o4TvUljm0LjH9O9R1fKlutAL5WoswzvvWumnGvLTXGl3Gv1Wr+HOPbvNT+5GD80O62JH7j2id10ivV1zf+5eav0bZK9R0tqV9rUuPVVYj1JV5duW69ZsKg5e0lH0TfgwmDURVt5xfb6dl3pvOzEnHPTX3jSu1uKt+JvuaifVNf+UGu9ResHgJMmawYKqDHL5r69phiaNdyxXGqL3E81By1L1J9awtkw5AAvkMc2V/g6yfVjnttqbG+jHutWLPnWN9mpXY/NeOHbrQh8Tu+nZj0Gu8z7a3E73ALaON1uDRjYn194wfNdQ+3HrwuJ8CEQTnbLCXLh9D3YMJgWEXb+cV2dsPvarb/kOzo17vQ+blK8QeT0Zz9XePGbMx3tdZppMSv3DH4vyuXD/2Fg6YOdXXrw/oU3z7sd8w+5IhjjS9xHG4ljW+4dFLgWzYG8PX7un2vpEqZ9G/qy7jX3x51a5v61pXTx/VuDKeMQTW+jB/CUaXxDZfe/RTaSS+tLzfNjI8hre/40ru3VRuv7h439SVeXcFuvGavU5dFAABAAElEQVTCoKad5HcNvvnNb5qFCxeaPfbYwzz5yU+uSVl2tXwQfQ8mDOZVcnV+TTs9WwM6Pysx/jnVd3yp3dzqO+FOOdEf3PsUX99nR1uPwTr1aTnFt0/779uXnHGs8SWOfa0zvE7jO1wSr3wC+PpU8q3Dd9jS1+dpblZp6su4d7g9Qq+a+obK68N2xg/daUXit76tmPSqt2nLFuJ3viVyxOt8aTuWmvgySevqdeM1EwY17fShD33IvO1tb6u2Xn/99WbJkmbfK15lVizIh9D3YMJgXiVH59eks5t/5x1LdH6uyOhrje9oad1f88jKM82GKy6rdkRzoi+FaHxz16XaqR4taHx7xDCyK7liJ4dvrrqM7GQPVuTw7QFDsV3AtxjtXMH4jvrmGPfaUlN8GfdavfBzim+41O6nyHXMzuGbqy7db5XRPcjhO1pqP9bkmPTK4eubQObmrx0xlsO3H9Hq/1YMbZyk+BKv3YsoJgxq2uyss84y55xzTrX1i1/8ojn22GOr15NakA+i78GEwQ6VHAdr65vS6dm8dH5Wov5Z41tfaje3/OzIJwxVfNHlV5kF+x0wtK7pi1RfOfF/8GXHVG8nP5q1aO3V1WsWdgik+vbZL2cca32J4/GRpvUdXzpb8S0bA/jO++Yc99pSU3wZ91q98HOKb7jUbqdg/NCd9iN+/W2Va6Iph2+uuvj3tNtrc/h2W2BH7UvFSIpvqbr0oZ3auA9MGNS0ChMGNTAtW52rw0np7FyKXHVxy+3D6xy+fXCQffCdZP/quu+rdk/r696tqL3jQLUzLcys9W3hLqmrlDOOc/kSx/5mzeXrL521+JaNAXyHfXOPNTW+uesyvKf9eKXx7YfA6F4wfhg1aesa4re+ZXJMeuXy5aYZfzvl8vWX3q21OeLV3eNUX+LVlWz3ayYMatqHCYMamJatztn5pXZ6loTOz0r4n7W+/lK7t9Y9wd79tDPM7svOUO+Ixte9Y1H7FUnqnWlhARrfFu6Oukq54ziHL3Fc36w5fOtLZwu+ZWMA33nfnONeW2qqL+NeKzj+OdV3fKnd3cr4oVttR/yOtheTXqMmbV1D/Ja5WdG2d6ovN3lZwfY/M2FQ00ZMGNTAtGg1B+sWNUagKqkHk0CxndzsnijtueIDZrfjl6r2RevLhdbx/Frf8aV3c2vOOM7lSxz7YymXr7901uJbNgbwnffNOe61pWp9Oem3kv5nra+/1G6vZfzQnfYjfv1t5cZw6s1fOX0ZA4+2VU7f0dK7syZXvLp7rPElXl3N9r5mwqCmbZgwqIFp0ercnZ+m07MsdH5WYvQ5h+9oqd1b8+Dxzzdb77+3qniO3y+QwjS+7kWInQ9fYvY6f01VRxZ0vn30yx3Hmvi1vsSxlRh9zuE7WiprrAC+VqLMM747XHOPe21raXwZ91rF+meNb32p3d3C+KFbbUf8jraX2xdrbv7K5UtfPNpOsiaXr7/0bqzNGa/uHqf6Eq+uZHtfd2rCYNmyZWbNmslcxNq4caPZtGlT1XL86HFF0ZqFnJ1famfnYtD5uSI7Xufy9ZferbW5T5Rk77W+fK3A+BjS+o4vvZtbc8ZxLl/i2B9LuXz9pbMW37IxgO+8b85xry1V68u410r6n7W+/lK7vZbxQ3faj/j1t1WuGM7py00zo22V03e09O6syRWv7h5rfIlXV7O9rzs1YfCMZzzDrFu3biqaTBhMhX3sm+bu/DSdnq0onZ+VGH3O4TtaavfWuN8/rP3BYyug9S1VL1u/rj9rfbu+/279c8dLLt/c9XL3u6uvc/l2df9L1xvfssL47vDNPe61rabxZdxrFeufNb71pXZ3S+7jdC7f3PXqbgsN1zyX73Cp3X6Vsy/O5ctNM/6YyuXrL70ba3PGq7vHqb7EqyvZ3tedmjA47LDDzC233DIVzbZNGAjCtm3bqjuL7Yd1lp4fOO7oka92Wbj/gVN1OWi3XcxNhxxUxejdGzebp337zplup1mPU3f/2xi30m/89IjHV3ErCzKRMUv9idtOvB5/fCGOx/sQP/jQf+401fFYH/3b2O8y7iXOmx7v2hjHjIOJ4yZx7E4u/dq37mjF8a6t9erj8bhJvEx7/0vHxdAFhAYv3HrluomyQRVIGiHQqQmDo48+2lxzzTURu5U/SdsmDLrUSZXqJN1OhoM1g70ufC7W/s4B5rmPflTVSb3s9vvMtQ/9YqoX5zeuu948vOzEqk7yGwaPueDiVgx+S/UflKvrL4hjnR/xh18XjlfEabvilHFvu9qDz0daezB+SHMj3trjxqQXN4V06fM4iXitLiI0WHDHNEwYNMCbYNJOTRhceOGF5tRTTx3iWbx4sTnqqKOG1uV4cfPNN5tbb721KqqNEwZV5WZ0IeefV9lOPwclnd+oYk7f0dK7teah0080m2+8oar0o89bY3Y5Ykn1OmVB68tXCoxX1/qOL72bW3PGcS5f4tgfS7l8/aWzFt+yMYDvvG/Oca8tNYcv416rOfqcw3e01G6vYfzQnfYjfv1tlSuGc/oyBh5tq5y+o6V3Z02ueHX3WONLvLqa7X3dqQkDYXzxi19svva1r1Wihx56qLnxxhvNwoULq3U5Fs466yxzzjnnVEUxYVBRtGYhd+en6fQsCp2flRh9zuE7Wmr31rg/Wrjbca80e65cpd4Rja9bp91PO8PsvuwMdZ36VIDGt08Odl/cmNHGcQ5ft07EsW0t/Q+jz5fEkk8gR/z6ymXdDgF8dzjkHvfa+NL4Mu61ivXPGt/6Uru7xT1WM35od1sSv6Ptk7MvzuVLXzzaTrIml6+/9G6szRmv7h6n+hKvrmR7X3duwuCOO+4whxxyiFm/fn2lunr1avPmN7+5ep1jgQmDHIply8jZ+aV2du4e0vm5Ijte5/L1l96ttRvWXmoeOXt5VekF++5vFq29unqdsqD1de9a3HPFB8xuxy9NqUov82h9+4iSM45z+RLH/kjL5esvnbX4lo0BfOd9c457balaX8a9VtL/rPX1l9rttYwfutN+xK+/rXJNeuX0devETTNMFtjodWNDO0lry9XEr1sn4tWqtu+5cxMGQnjuueeaM888s9JctGiRue2228w+++xTrdMuMGGgFSyf3+1otJ2fptOze+vWic7PynDQthJb77vHPPiyY+zLuedpfi2Rrz58h+BQ88y9yNE/jJba3TW+uNHEsdbXVx/ieD6+tL7zJbHkE8DXp5JvHb47LN0xpnbca1tI4+vWiXGvVZ1/1vjOl9KfJd/xmvFDe9uX+B1tGya9Rk3auob4NSZnvLrtnOrLTV6uZHtfd3LCYMuWLeaZz3zm3FcRWVr5bYNPfOIT9qX6mQkDNWHxAnJ2fqmdnbuTdH6uyI7XuXz9pXdvrXuXoPakX+Obuy7da41wjTW+4dK7myJX7OTwzVWX7rZGfc1z+NaXzhZ8y8YAvvO+Oce9tlStL+NeK+l/1vr6S+3+2lzH7By+uerS/VYZ3YMcvqOldn9NrkmvXL6++nDTDDcr2k+aLz40k7S23NT49dWHeLWq7Xvu5ISBMN50001zkwabN2+eU5WAve6668yznvWsLMpMGGRhLFqIr7PRdH6pnZ7dSV996PysDgfteYnRmX7ZpoldyZ8Sv+5XCeSoh5TRx0eKbx8dBvfJvXgl21LjWONLHA+2in9Z4+svkbWDAvgOauRfxneHqW+cmdrnDrZSqq+vPox7B2V3LKf6jpbUnzWMH7rTlsSvv61yTTTl8M1VF/+ednttDt9uC+yofakYSfEtVZc+tFMb96GzEwaCuXz5crNq1fyPhS5dutRccsklWZyZMMjCWLyQXB1OSmfn7lyuurjl9uF1Dt8+OAzugxsvOx++xOx1/prBJNHLqb456xBd2Q4mTPXt4K42rnKOGNL65qhD4x3vUAatb4d2dSpVxbcsO77Dvm5/x18oDvu07RXxW98ibiynjIO1vjnqUL+H3d+i9e2+QP0e5Jj0yuHLTTP1bZTDt770bm3JEa/uHqf4Eq+uYvtfd3rCQH74+DWveY35xje+YRYsWGBe/epXG/kB5ByPdevWmb/4i78wDzzwgDnwwAPNBRdcYPbee+8cRTcqQz6Ivse2bdt8q2duXc7OL6XTs+B0flai/lnjW19qd7f4Ykbz3b9Nfd2TJJHMcadid1tkfM2b+o4vrT9bc8Vxqi9xHBdLqb5xpZMK37IxgO+8b85xry01xdfX9zOGsKLDzym+wyX085UvhlLGwam+jB/i4irVN670bqdyY4hJr/a1J/E73yY54nW+tB1LTX1L1MGtE6/zCnR6wiAvRTtLkw+h78GEwbxKjo6naWc3/+47lnLUwS2zT6+1vn2yGNwX98cCZdskTpZ8J2nauxQH96tvy8Tv+BbVxnGqL3E8vl3s1lRfm5/n8QL4jvfRbsV3VDDnmDPVN2cdRvewP2tSffsjMH5PGD+M95n2VuJ3fAv4xqFNzuO0vm4/LLVl4na+zbS+8yX1Y0kbr65CU1/i1RXsxmsmDFreTvJB9D2YMJhXydX5Ne30bA3o/KzE+OdU3/GldnurfP/vQ8tONFvvv7fakQX77m92O26p2X3ZGdW6mIVYX9/nRd5z0dqrY95mZtPE+s4iUI44bupLHDeLtKa+zUonNb5lYwDfYV9f/9fkItVwac1/A4lxrys4/jXxW+/D+KHepi1biN/xLcGk13ifaW8lfodbQBuvw6XFjx984xZuVnQ12/maCYN2tktVK+nkfA8mDIZVtJ1f6sGEzm+4HepepfrWlden9b4fDZT9a3IQjfX1neTLe3E3iijUP2J960vo/xZNHDf1JY6bxVNT32alkxrfsjGAr99XO+61pTb1Zdxr5eKem/rGldqvVIwf2tuexG+4bTSTXqm+vn6Ym79G2yrVd7Sk/qzRxKurEOtLvLpy3XrNhEHL20s+iL4HEwbDKjk6v9hOz74znZ+ViHtu6htXaj9S+WJJ9kwGf3uuXGV2OWJJcEfH+Ur5cnFh8C8ZbIFMFliJ8c/jfMfnnJ2tmjiO8SWO02Mpxje9dHLiWzYG8B31zTHutaXG+vr6eC5SWcX651jf+hL6v8UXW7LXMePgGF/GD+kxFOObXno/ckp//ODLjhnZmZibv5r6ctPMCPPYFU19xxbWk42aeHUJQr7EqyvWvddMGLS8zeRD6HswYTCqoun8Qp2d+250fq7I+NdNfceX1s+tdSdLsrfyI1ryFUV1Ewd1vlLm+vNWm8033uBFY7LAyzKyss53JCErTEoch3yJY11ghXx1pZMb37IxgG+9r2bca0uN9WXca8WaPcf6Niu1n6kZP7SvXYnf+Dapi99xk15NfKV8bv6Kbw9J2cS3WcndT50Sr+5ej/MlXl2t7r5mwqDlbScfRN+DCQOfiqm9WDXuYG1LGtfp2TR0flai+XOMb/NS+5VDTv7d3zQY3EOJY5k02PX4pXOrF25/vWC/A+aWD9ptF/P96641Usbm7YPKDVdcNph1aFkmIH5l5QeqvEMbeeEVIH69LN6VKXG8cP8DjRzXJO+W7b/pQRx7aZNXEr/JdFEZ8Y1iSk6Ebz0dJ/31Nm3ZQvzGtwTjh3irSaUkfuOl6/pjKaHu5q+Qr5TJzV/xbeCmDPm66WfpdUq8uj6uL/HqCnX/NRMGLW9D+RD6HkwY+FR2rEvp/NzOzi2dzs8VafY65NustH6nlpOl9eevHnvBXyMQ8+exmvL7mJf4bd6qxHFzs1I5iN9SsjvKxRffsgLh0lPGvbbUuvhl3GuFdM91vrpS+52b8UN72pf4bd4WTSa9XvCCF5j/+N7t1Q1ckpebZpqb1+Ugfutk5tc3iVfJxc2K83azssSEQctbWjo634MJA5/K/LqUzo87XOf9Sixx0G6mKjH8vyuX136dULPSdtzZwl8VNFWbT0/8zls0WSKOm2iVS0v8lrOVkvHFt6xAuPSUcS9/oRh2zZGC/iFNkfFDmlvuXMRvc1GJXW7+au5WIgfxG1YlXsNGs5yCCYOWt750cr4HEwY+leF1dH7DHtN8xcE6Xd+eMEkJdb9FUFe6/Qqj3U8/o7p7pS4t6+sFiN96m9gtxHGsVP50xG9+08ES8R3UyL+Mb7wp4954q0mlJH710owf9IapJRC/qXI78tnYbXr+VveufKVsnYx/PfHrd6lbS7zWycz2eiYMWt7+0tH5HkwY+FT86+j8/C6TXstBWy8usSxfEyC/UbDlvu3f837/Pdv/3TtX8N0bN5vFz3quWbjf9t812PcAs/ORS2p/JFlfk9krgfjN1+bj4lgmuSR+ieN83lIS8ZvX0y0NX1ck72t8m3ky7m3mVTo18ZtPmPFDPsvYkojfWKn6dLZPlhRNJw+4+aveNWYL8RujNJyGeB32mPVXTBi0PAKkk/M9mDDwqYxfR+c33qfkVg7WJXW5GFhWF198SwuULZ/+F9+yAmVLJ37TfRn3ptvlykn85pL0l4Ov3yXXWnxzSc6XI/2yvfnrys9cbJ73xMdXN39x08y8U44l4levOBiv3Kyo9+xiCUwYtLzVpKPzPZgw8KnErxvX+XGwjndskpKDdhOt5mnxbW7WJAe+TbSap8W3uVmTHPg20WqeFt/mZk1y4NtEy5923LiXv1D0m+VaS/zmkvSXg6/fJddafHNJ+svB1++Say2+uST95eDrd+nTWiYMWt6a8iH0PZgw8Kmkr6OzS7eLyYlvjFJ6GnzT7WJy4hujlJ4G33S7mJz4xiilp8E33S4mJ74xSulp8E23i8mJb4xSehp80+1icuIbo5SeBt90u5ic+MYopafBN92uSzmZMGh5a8kH0fdgwsCnoltHp6fzC+XGNySk246vzi+UG9+QkG47vjq/UG58Q0K67fjq/EK58Q0J6bbjq/ML5cY3JKTbjq/OL5Qb35CQbju+Or9QbnxDQrrt+Or8upCbCYOWt5J8CH0PJgx8Kunr6OzS7WJy4hujlJ4G33S7mJz4xiilp8E33S4mJ74xSulp8E23i8mJb4xSehp80+1icuIbo5SeBt90u5ic+MYopafBN90uJie+MUrpafBNt+tSTiYMWt5a8kH0PZgw8Kno1tHp6fxCufENCem246vzC+XGNySk246vzi+UG9+QkG47vjq/UG58Q0K67fjq/EK58Q0J6bbjq/ML5cY3JKTbjq/OL5Qb35CQbju+Or8u5GbCoOWtJB9C34MJA59K+jo6u3S7mJz4xiilp8E33S4mJ74xSulp8E23i8mJb4xSehp80+1icuIbo5SeBt90u5ic+MYopafBN90uJie+MUrpafBNt4vJiW+MUnoafNPtupSTCYOWt5Z8EH0PJgx8Krp1dHo6v1BufENCuu346vxCufENCem246vzC+XGNySk246vzi+UG9+QkG47vjq/UG58Q0K67fjq/EK58Q0J6bbjq/ML5cY3JKTbjq/Orwu5mTBoeSvJh9D3YMLAp5K+js4u3S4mJ74xSulp8E23i8mJb4xSehp80+1icuIbo5SeBt90u5ic+MYopafBN90uJie+MUrpafBNt4vJiW+MUnoafNPtYnLiG6OUngbfdLsu5WTCoOWtJR9E34MJA5+Kbh2dns4vlBvfkJBuO746v1BufENCuu346vxCufENCem246vzC+XGNySk246vzi+UG9+QkG47vjq/UG58Q0K67fjq/EK58Q0J6bbjq/PrQm4mDFreSvIh9D2YMPCppK+js0u3i8mJb4xSehp80+1icuIbo5SeBt90u5ic+MYopafBN90uJie+MUrpafBNt4vJiW+MUnoafNPtYnLiG6OUngbfdLuYnPjGKKWnwTfdrks5mTBoeWvJB9H3YMLAp6JbR6en8wvlxjckpNuOr84vlBvfkJBuO746v1BufENCuu346vxCufENCem246vzC+XGNySk246vzi+UG9+QkG47vjq/UG58Q0K67fjq/LqQmwmDlreSfAh9DyYMfCrp6+js0u1icuIbo5SeBt90u5ic+MYopafBN90uJie+MUrpafBNt4vJiW+MUnoafNPtYnLiG6OUngbfdLuYnPjGKKWnwTfdLiYnvjFK6WnwTbfrUk4mDFreWvJB9D2YMPCp6NbR6en8QrnxDQnptuOr8wvlxjckpNuOr84vlBvfkJBuO746v1BufENCuu346vxCufENCem246vzC+XGNySk246vzi+UG9+QkG47vjq/LuRmwqDlrSQfQt+DCQOfSvo6Ort0u5ic+MYopafBN90uJie+MUrpafBNt4vJiW+MUnoafNPtYnLiG6OUngbfdLuYnPjGKKWnwTfdLiYnvjFK6WnwTbeLyYlvjFJ6GnzT7bqUkwmDlreWfBB9DyYMfCq6dXR6Or9QbnxDQrrt+Or8QrnxDQnptuOr8wvlxjckpNuOr84vlBvfkJBuO746v1BufENCuu346vxCufENCem246vzC+XGNySk246vzq8LuZkwaHkryYfQ92DCwKeSvo7OLt0uJie+MUrpafBNt4vJiW+MUnoafNPtYnLiG6OUngbfdLuYnPjGKKWnwTfdLiYnvjFK6WnwTbeLyYlvjFJ6GnzT7WJy4hujlJ4G33S7LuVkwqDlrSUfRN+DCQOfim4dnZ7OL5Qb35CQbju+Or9QbnxDQrrt+Or8QrnxDQnptuOr8wvlxjckpNuOr84vlBvfkJBuO746v1BufENCuu346vxCufENCem246vz60LumZww+OUvf2k+8pGPmOuuu87ceOONZvPmzWbvvfc2T3/6083hhx9uXvKSl5gnPvGJrWg/+RD6HkwY+FTS19HZpdvF5MQ3Rik9Db7pdjE58Y1RSk+Db7pdTE58Y5TS0+CbbheTE98YpfQ0+KbbxeTEN0YpPQ2+6XYxOfGNUUpPg2+6XUxOfGOU0tPgm27XpZydnjB48MEHzbe//W3zne98x3z/+983j3nMY8wTnvAE85SnPMUcdthh3na44YYbzCmnnGK+973vebfLyt12282sWrXKnHHGGbVpJrVBPoi+BxMGPhXdOjo9nV8oN74hId12fHV+odz4hoR02/HV+YVy4xsS0m3HV+cXyo1vSEi3HV+dXyg3viEh3XZ8dX6h3PiGhHTb8dX5hXLjGxLSbcdX59eF3J2cMNi6dav54Ac/aM466yyzYcMGr/Pzn/988573vMc873nPq7bffPPNZsmSJWbjxo3VunELxx13nPnUpz5lHvvYx45LVnSbfAh9DyYMfCrp6+js0u1icuIbo5SeBt90u5ic+MYopafBN90uJie+MUrpafBNt4vJiW+MUnoafNPtYnLiG6OUngbfdLuYnPjGKKWnwTfdLiYnvjFK6WnwTbfrUs7OTRg8/PDD5vd+7/fmvk4oBC1BfPHFF5vXve51Rr6G6MgjjzTf/e53Q9mGtp922mnm/PPPH1o3yReyD74HEwY+Fd06Oj2dXyg3viEh3XZ8dX6h3PiGhHTb8dX5hXLjGxLSbcdX5xfKjW9ISLcdX51fKDe+ISHddnx1fqHc+IaEdNvx1fmFcuMbEtJtx1fn14XcnZsweOc732k+8IEPRNvusssu5qtf/ercbxX82Z/9WXQ+m3DhwoVzX3v05Cc/2a6a6LN8CH0PJgx8Kunr6OzS7WJy4hujlJ4G33S7mJz4xiilp8E33S4mJ74xSulp8E23i8mJb4xSehp80+1icuIbo5SeBt90u5ic+MYopafBN90uJie+MUrpafBNt+tSzk5NGPzgBz8wcuG+7muI6uB/93d/d27Tl7/85aEkL3zhC81rX/vaud87kN9DkB9BPvfcc80vfvGLoXTy1URr164dWjepF/JB9D2YMPCp6NbR6en8QrnxDQnptuOr8wvlxjckpNuOr84vlBvfkJBuO746v1BufENCuu346vxCufENCem246vzC+XGNySk246vzi+UG9+QkG47vjq/LuTu1ITBO97xDvPXf/3XI64vetGLjEwKPOpRjzK33nqr+cIXvmDuvffekXSDK97+9rfP/aXCggULBleb//qv/zInnHDCyFcX3XXXXeZxj3vcUNpJvJAPoe/BhIFPJX0dnV26XUxOfGOU0tPgm24XkxPfGKX0NPim28XkxDdGKT0Nvul2MTnxjVFKT4Nvul1MTnxjlNLT4JtuF5MT3xil9DT4ptvF5MQ3Rik9Db7pdl3K2akJg+OPP95cccUVla9c7F+zZs3cbxRUK7cvyF8LyG8PXHLJJYOrq+VXvepV5l/+5V+q1+7CDTfcYJ797GebwYvyX/nKV8yLX/xiN2nx1/JB9D0G6+bbzrrmAnR6zc2a5MC3iVbztPg2N2uSA98mWs3T4tvcrEkOfJtoNU+Lb3OzJjnwbaLVPC2+zc2a5MC3iVbztPg2N2uSA98mWs3T4tvcrEkOfJtoNU+Lb3OzruXo1ITBk570JHPbbbdVxm95y1vM3/zN31Sv3QX5ceQvfelL7mpz0003zX0N0ciGgRWvec1rhiYVPvKRj5g3vvGNAykmsygfQt+DCQOfSvo6Ort0u5ic+MYopafBN93Ozbn1vnvMhrWXma3332O23Hfv3PPW++81C/bdfy7pgn0PMAv327G86/FLzS5HLHGL4HVDAeK3IVjD5Pg2BGuYHN+GYA2T49sQrGFyfBuCNUyOb0OwhsnxbQjWMDm+DcEaJse3IVjD5Pg2BGuYHN+GYB1N3pkJgy1btpjdd9/dbNq0qaL+4Q9/aA4++ODqtbsgX0902GGHma1bt1abjjrqKHPNNddUr+sWPvzhD5u3vvWt1eY///M/Nx/84Aer15NakA+i78GEgU9Ft45OT+cXyo1vSEi3Hd90v03fusFsXneD2XDFpdsnCMZ/nZ37LjKRIJMGTB64Ms1eE7/NvJqmxrepWLP0+Dbzapoa36ZizdLj28yraWp8m4o1S49vM6+mqfFtKtYsPb7NvJqmxrep2Hz6mJvo/vErXzUnn3wy58HzbL1b6syEwfr1680ee+xRNYBMHjzyyCNGOoFxj+c973nm2muvrZKcfvrp5rzzzqte1y38+7//u3npS19abX75y19u/vVf/7V6PamFuv1jwiBvC3AwyevploavK5L+OubgzR3wcb5iuf781dsnCi6LyzAmlZ042P30M8yC/Q4Yk3K2NxG/k29/+t+y5vjiW1agbOnEL75lBfKXPjiOuPIzF5vnPfHxczd78JegOutBV/7CVmcZm5v+N1YqnI74DRvFpLA30a2/YHVM8qE09lyYm+iGWDr/ojMTBiK91157mYcffngOPXbC4A1veIP5xCc+UTXUX/3VX5l3vetd1eu6hSuvvNLIjynbh/x+wuWXX25fTuxZDiS+BxMGPhXdOg7aOr9QbnxDQvXb7cGbO+DrjZpuWX/eapMyGAq9jx0s7blyVSjpzGwnfqff1PS/ZdsAX3zLCpQtnfjFt6yAvnQ7jkgZt9lxGRexRtvBunJ+MWozqTX0v+nSxG+6nZtTLDeuvTTLTXRS9m7HvZK/OnCRO/q6UxMGv/M7v2Nuv/32ijr0lUSS8H3ve9/QBMGnP/1pc9JJJ1Vl1C188pOfNH/4h39YbZblf/iHf6heT2pBDiK+BxMGPpW4dcxAxzmlpsI3VW40n1hyB/yoi3bNQ6efaDbfeENtMTLIkd8q2PnIJWbh9q8cWrj/gWbLvXfPpd+y/SuLbIyPK2Pnw5eYX1n5gZn+awPitzbEsm+wMen77Y277rrLLH7Wc/ntjQzq45yleH7jJA15nCvxm2Yam4uLVbFS4XTj4lhy0z+EDd0UXMRyRfK8lljl/CKPpaYU+t80PeI3za0u1yMrz8w2UTD4HnaylpvoBlW6t9ypCQP5WqDBu/zlov4pp5wyVv2jH/2oedOb3lSl+exnP2te/epXV6/rFv7f//t/5r3vfW+1+Z3vfOfc5EO1YkILTBjkgWYGOo9jXSnWlzt/6oSar+cO+OZmoRwSpzIo8v1OgVzg3+34V27/t9RbjG9QLwNWKVN+JNk3eSADJRkkzeIPIxO/3jDKupJ+NytnbWHWmTswa4mSNuCaxJacadzFbCZlklnnxgD8BlK637icXMQap5O+jfFZul2JnL7zixLv05cyid98LSnjMPH0ncPad3FvopOv3ZXxhDzkJrqTj32J+dgrjx9bhpwP73Xempm+ic56dvG5UxMG559/vlm2bFnlfPjhh5tvfetb1WvfQuqEwaGHHmrkR5PtI2ZywqbN+cyEgU6TGWidXyi3HGj487WQUvPt3AHf3CyUQ2L14WUnjiSTQYz87kDdRIFkiBnMb9j+Z5xyt5Y7GTGLkwbE70iYZV1Bv5uVs7Ywxg+1NKoNuKr4GmWWvkIuZnMzRyO2qMTEcRRTUiKJ29iLWC95xzvNf3zv9rkLUdIm8oj9S9BZvIjF+CwpJItlijm/KPbmHSyY+M3XaHXnxfIOoZvobC0G41f6Xylz3E10ofNtWy7P7RLo1ITB/fffbx73uMeZzZs3V4ry48S///u/X712Fz7+8Y+b0047rVotP1wsf6kw7iETBTJhMPiI+fqjwfS5lpkwSJdkBjrdLiYnd/7EKDVLIwda7oBvZhab+sHjnz9yMV8GRHudvyaqiMFBUV2GugsIs3JSSvzWRUa+9fS7+SzHlcT4YZxO+jZc0+2a5JS+mJs5mog1S0scN/Nqklpi13dzh5RRdxFr3PiMi1g79BmfNYnCyaYdF7+TrUl73434zds2df2s9LG7Lzuj0V/G++JXbqLzTRzE3KSXd08pLYdApyYMZIfdHzF+4hOfaL797W+b3XbbzevxyCOPzP3o8U9+8hNz0EEHmZNPPtnsvPPO3rR2pfsev/3bvz302wk23SSe5UPoe/AbBj6V+XXMQM9b5F6Sg4ycLDX587WU74CflYustn3qDt4xB1ffwdqWa59n+Q54X38gf2IZ+52KMb7WWU5OZZDk3tHZZHLCltWlZ+K3bGul9Lv2z4YXL15svn/dtVG/vTFr/a6v1Xz9xWA698+zU45v0h/M2m+cNHVNid9ZdB2MTVlmUtEVyfu6aRzTP8T7140jxl3EajI+m9WLWHWunF/Ex2aplE3it1Qd2l4u8Zu3heo8U85Tx8XvrN9El7fVplta5yYMfvSjH83d/f/zn/+8kov9IeMqw5iFH/zgB0Z+XHnwrxhWrVpl3vGOd4zJVW6TfBB9DyYMfCpm7k+huEPbb5Njbd1BRsqWA02J74CflT9f4w74HBE6Wobv4kmTyQJb4rhBkU0z+Oy7AzHlfQfLbPMy8VuudTT9rq3VYPxyx6VVGX4WZ8YPwyY5Xmlc7fs3jd9Z/O0YcW56M0fKpMysTipq4ngwfm1Mx/TDsxTH4uv7y4KYi1g+X+vsPs/iRSzGZ24UtOt1k/htV80nUxviN6+zz3PPFR8Y+9W842oQil+ZqH3k7OVDRczqOGIIoUMvOjdhILbXXnut+dCHPmRk0mCPPfYwK1asMEceeWQW9ne/+91z5dnC9tlnH3PbbbeZRYsW2VUTfZYPoe/BhMGoSt1gkzsoRq1S1tT5jrvzx75P6GAi6Wb1zh/Zd98da00uLsf4yvvIQ06WZuUOeNnXB192zNx+2/9iTj5tWvvcxNfm8Z2U9nWARPzaVs//rOl3bW3Gxe8s97vWR57rnBk/DCo1X9a42ncLxS+/HVMfv2LIzRw2ktKfNXE8Ln5tjaQfnvU4Tr2IFeNrnQefZ+UiFuOzwVZv33Jq/LZvT8rUiPjN6+rzfPT2HyPe5YglSW8UG7++/rbJdY6kypEpm0AnJwyy7b2noNtvv91cdNFFc5MRMknw+te/3jz5yU/2pJzMKvkg+h5MGIyq+AabTS4OxnR6vouAUpO+Xgi0ynUnS/haofRn7oBPtwvldG3lc7po7dWhbN7tMf2Dm1H6i4e2/9Dy4A8h922A5BqLQco+NvWdhb/gyNHv2pgc5zurxzVrI8+MHwY18i1rXW1NiF8rMfo8rp+I/S7icb5MKtI/jEZd3jXai1jj4ndcTft+EYvx2bjWb8+21Phtzx6UqQnxm9fVN1ZIOV9zaxUbv77zNs1khVsPXpcTYMKgnG2WkuVD6HswYTCs4htsNukEYzs7eVe5uDIrd2hbZd9Jf5M/X2viK+/pG8T3cVJGYok74G2U5X322TaJ2cHaNI3fwbxuLEsc9+VrBnzGTSYRrVOKr7y33JG54YrLbDG9m7jV9rsWJtbXjVXJ38d+17rYZ8YPViLvs9bV1iYmfqU/mLVxmfj4LgDI+ib9cKyv29/K+9A/iML4R4yvLWEW49gXw6XO36zz4HNfL2IxPhts5fYuN+kf2rsX+WtG/OY3dcdkTcYJdbVpEr/Spv+7cvnQb2DmqENd3VifT4AJg3yWRUqSD6LvwYTBvAoz0PMWJZbcA4y8R8qMcJODiryH7+JVk5MIKaPtDzd25eSbO+DztFpOW6lR0/gd3Av3M9SXOM5pnOIrg8++/gWHGzMSTyn9ro3DWN9Z6HetiTy7MSzrUj6fsb5Svjx8F6lS3ndHae37P5er3bNY3767Wg/7zKSilSjznCuOY+PX7sUsxbF7rEu5gNTU1zrLc18vYrmxy/nFYKu3a1kTv+3ak3y1IX7zWUpJvrG95pxisHZN4tc3QZyrHoN1YjmvABMGeT2zlyYfQt+DCYMdKsxA+6Ij3zpfx55yUaPJwWSw9r6Tpr4cWHyxyx3wg62vW3YvpKTaSi1S49fugTtQ05y42TKn/Uz8lmuBXP2urWHT+O1zv2tN5NkXw5O6WCXv7d6x3Ze7tXO52rZqEr99drUe9tm90CrrU8ZHTXzlPdzjmaxLGRdKvjY/csVxU18xmZU49sVS0xhO8XXjznfMbVoPt8xpvvbFbuoYWOPrtq8c4/ryF7a52lfjm6sObSuH+M3fIu4ETK5jdkr8lqpLfjVKtAJMGFiJlj7LB9H3YMJgh4rb6WguxKV0enJQ6+sdriLsnpCmXEyx8Zvq29c/X8sZu2Kc4mvbxm3nXAMJW/6kn32DzV9d931VNTS+vvp0+WRUIIlfVTiNzex+HjX9rn2jJvEr8drXftd6yHPOGG7ia+vQ1/FDTldr1cS3r67WQp59Fzg1x+0mvvL+szCpmDOOm/qK8SzEsWucGsMpvmI8+MhVl8Eyp7Xs7ovm3Fj2QePrjmdS23halpN4X43vJOo36fcgfvOL/+zIJwwVuujyq8yC/Q4YWpf6omn8yrFt8OuYtf1Tar3JFy/AhEGN1datW803v/lNs3DhQrPHHntM7YeP5UPoezBh4L87kDsofNGSts69M0RKSb3I2fRgMlhj34lxaj0Gy532MnfAl2sB92KG9gRFE792L/t20kT82pbN+5yz37U1S4nfvva71sQ9YZH1jB+sTvpzTldbi5T4dT9Hfbuz1T2eaCYVU3ylnfs8qZgzjlN8bez3PY5zXMTS+FpneXbbvMsXsRifDbZsu5dzxW+797JZ7YjfZl6h1L7xvPYmOvueqfHrjmH6cF3HmvTxmQmDmlb90Ic+ZN72trdVW6+//nqzZMmS6vWkFuSD6HswYZD37kAxTu30JK/b8WkvUEqZ0364M/zafdL45q7LtG3dExOpj/bgrfH11afLB283XlIvBA7GicZXynFP/LWfp8G6TXrZFy/Eb55WcGM3V5ykxG+puuSR0pXi7pv24lCKr92DPo0fcrtaoxTfPrlaB3l2jyWyTnu8TvH1XYTQ1kP2pQ2P3HGc4msd+hrHvvhJHUdofK2zPLvWXYxnxmeDLdqN5Vzx2429HV9L4ne8T8pW93i2+2lnmN2XnZFSlDdPSvy645hc5zreCrJSLcCEQQ3hWWedZc4555xq6xe/+EVz7LHHVq8ntSAfQt+DCQNjmIH2RUa+dTnu/LG1STmY2Lzy7A4gtBd3BsuexjJ3wJdVz33Sp41f2Vv35FhzR2hZvXDpxG/YKDVFzn7X1iE1fvvW71oPeWb8MKiRbzmnq61Vavy6J6RdHzdYD/fkX3uineor9cldF7uP037OGccaX3GYlThOvYil9R2MNdda+9kaLHtSy4zPJiWd531yxm+eGk23FOI3v797nM5xE52tZWr89qGvtQaz8MyEQU0rM2FQA9OS1e6FDKlW6p0pdpdSOz3J76tPF+9MsRbuxU1ZP01fef/cF4GlzGk9Shy8NfErDn06eLsn+zm+q1Hr6/YRXb54RfyW6TlK9Lu2pqnx26d+11q4n0VZP83jm68+XRw/+PZD62rbLCV+ffXpoqs1sM9MKlqJMs++uNHGcUr82r3z1acPcZxzHKHxtc7y3IdxcE5Xa6P17YOrtSjxrPUtUadplUn85pcvcU48WMuU+HXPd7p8E92gRV+XmTCoaVkmDGpgWrKaGeiyDeEesFPv/LG1TDmY2Lz2uU8DztwX4XL49ung7V5QmebJvo1f96S/yxMGxK9t1bzPuftdWztN/9Cnftd6MH6wEnmfc7va2mni1+2runjHsHWQZ/c4LeumfXxzjbt+MTt3HGviV9pXHq5x1+NY9inXRawcvlIfebifry5exHJjRft5zOHbB9cdEZL//xy++Ws1vRKJ3/z2ufpaX81S47dP58Q+l76tY8KgpkWZMKiBaclq98JKjj+vSu30LEmfLqzga1u1zHOJg7c2fvt08M49YSBRoPWVMkrUS8qd9IP4LSNeot+1NU2N3z4d16xFCedUX1unPjiXcLU+qb59cLUG8uwaa2/msGWn+kr+vhtzfmGjJO9zznGEJn4H96oP4+CcrtZG69sHV2tR4lnrW6JO0yqT+M0vX/rcMzV+S9crv+TslsiEQU3bM2FQA9OS1cxAl22I3Afs1IPJ4F726Q6V3AfJHL59GtC3MX775Ev8DvZM+ZZzx62tmaZ/6FO/az0YP1iJvM+5XW3tiF8rMTphwMXseZtcS7njWBO/dp/62A/nGkfk8LXO8pyrXoNlTnI5d/1z+PZp/Ju7LXP45q7TNMsjfvPrlzq3kJpq4jd3W+eXo0Qr0KkJg2XLlpk1a9bYuhd93rhxo9m0aVP1HvzocUXRioUSnZ+m0xOUPg2I8C0b5iUOktr4lT0uUa+ykv7Sc5/wy7tofft0wl8iTrS+0kYl6iXlTupRot+1dU/17dNxzVqUcE71tXXqg3MJV+uT6tsHV2sgz6WMU32lTn06tpUy1vhKnfoWx7mdtb5SH/vo+jiiRP1z+Jaol22zrj/n8O26ga1/iTjJ4VuiXnafSz+XOCcerHOKb9/GDYMefVzu1ITBM57xDLNu3bqptEPbJgwEYdu2bdVFLPthnZVnt+P+tW/dMXWPLffebR582TFVfMp3lD/2iv+Yer1S4qSNvrIfba1X08/dLYcebA7cdecqVp5+613mrg2bpvp57lP8fmTxb5jX/dqjK98/vfP/Mxf/z0NT9f3Fxz5s1l+wuqqTfAfxr5x9bif7B+J3pyLt1tb+ra31atrv2vRt3J8+9L+4lukXbNzK8wPHHW223n9vdRxZdPlVZuH+Bxbpjwbfd9w48qDddjE3HXJQVae7N242T/v2nVM93o6rb2i/iOPycSzts/Z3DjDPffSjqrh52e33mWsf+sVU42bjuuvNw8tOrOokv2HwmAsunurnKxSv7nbGZ5OJX9ed13ncid88joPx+PPTXm8233hD1a/J75rseuSzsvZrVeGRC0wYREK1JFmnJgwOO+wwc8stt0yFrm0TBprB8GAn0tVyfnrE44fiQH70rQ371dZ6NW3nNp6USvv2xXcSB++mn4ej9trDXP7E/arP1X8+/Etz/G33tOJz1TR+f3n5JeaRs5dX+9KGi/PuJMaq+x4w77/vp530JX7LTNbT75ZxdfuPth5H2lov16/udVvr39Z61TmOW9/Gi9lS37bWq+k4qM3jzD7FsTgzjihzvMO1jOu4fjmln6E8fzsRv34XTby455//9NOHzZt++OPs55/VSXfEQqnfY4p4a5IkCHRqwuDoo48211xzTcJu6rO0ccJAv1fdLSH3n2Xbg71GpE9/Mpz7z9dy+PZpNto9UGq/hziH7/rzVo/cAb/nylWaj8TU8ub+LObwdS+oyJ2hC/Y7YGpGmjcmfjV69Xlz97v2nTTx26d+13owfrASeZ9zu9raaeI397HA1mlazyWMNb7WwT2+yU08XX3kNs7h27c4lthwxxFyY0fKmDOHr41Vt065flTclj+JZ3cfOL+YhHr6e+SM3/RatCcn8Zu/LTasvXToJjr5BoxFa6/O8kap8eseZ7X9VJadoZBagU5NGFx44YXm1FNPHdqZxYsXm6OOOmpoXY4XN998s7n11luropgwqChasVDiwkpqp2dB+nRhBV/bqmWe3YN36onSYO208esO0rp4ojTokTuGNb5ue+ccrA3u86SW3f0hfvPI547ZwVqlxm+fjmvWo4Rzqq+tUx+cS7han1TfPrhaA3kuZZzqK3XCWBTGPzS+UnLfjGWf3HGEZlyk9ZX6yKMPF7FcV8ZnO9q2zf/nit8272Ns3YjfWKn4dO6Es+SUryXa5Ygl8YWMSdk0fn316fJNBmNoerOpUxMGov7iF7/YfO1rX6sa4NBDDzU33nijWbhwYbUux8JZZ51lzjnnnKooJgwqilYsuBc3tTOTTTs7H0Kf7tB2fbUDzhy+bp26fEHbPVhqTpQkFnP4uncIdvkOeDFxB50aY62ve5Gny7ErtsSvKOR/uH2ctt+1NdTEr1unrseumLj7xPjBRoruOberrY0mfvs0LhMP91iS46Rf4yt16tvF7NxxrPUV477FseyTO46QdSnxnMO3rj5dvIjlumrGvuKSw7dv5xfikuuRwzdXXdpQDvFbphXcscM0zy9K1aWMHKWKQOcmDO644w5zyCGHmPXr11ctuHr1avPmN7+5ep1jgQmDHIrlynAvBubo+LQHbfcko8sXVlxf7YBTIkHr24c7fwY/Ee4BM+VEabA8jW+J9h6s2zSW3UGn1EFzYTDV17WVemjbWsqY9oP4zd8Cbqzk6HdtLVPjt2/9rni4zowfbJTonku42hqlxm+fxmVi4e5PjtiVclN9fXXq8thX9uf/Z+/9g/+oqvv/27wDIQQwKsUSSDFDFWUKIgFCvyJKS4szJbSSgVJx+h3aQhwsmc7gl0g70dCmfwCVTjN1rMShzrTB2gK1Jh2pfvFHwZRgDPCJrWLFrxQCtVWhCIQk73f4vs/77d3X7n3d3XvuOfe+Xrv7eu7M+727995z9u7jnL177z372s3hxxq+fWRM50SL24+Q+rOWb8q6zJ3YmP+5XLV9Tg1f93pK2a8ZM+Zkh9fwTVaJFimC/6Y3hnsd0hG07YKtZYz/ug8YpKyHrQ/W6Ql0LmBACG699VZzww03FDSWLl1qHnvsMXPccccVadoNBAy0BPPKu5OB2g5ITGNXd2Z9eoLC5UvnrLmxaPn66tPFJ3/KvuPevDU+rOXrds66PuC3nN3JFSljDV93wlU6ILbn1JY1/De9JXztnKbdtTWU+q+vPl1vd4mJe17SdkHL18rTug/9h9RcLR+p//aFq+VA65TtrtWr4Us63HucJjBv6zTOdWo/1vIlFn1oH3w2df2ZysTe81Lw7dsklstVc4/T8u3r+MLnz5I0LV/JMdsuA//NYyH3Wlx45ipzzO1bVQeL9d8cdVCdAIRZBDoZMJiZmTHnnHPO3KuI7FnStw3uuOMOu6teI2CgRphdgdvoxHYy3QrGNnpl+ZQ3t7LecW67fLUTnRq+qesyTq722O6glNI1A20pX9d3qR7aa4l0tGHxMZZ2kCR8Xb8lJl1/1ZO1q48t/NfSka9dn9G2u7YmKfw3VV1snca5djlr2zwJX3v+bhusmdyxOse1Ts3VnoeEb5+4Wg6+dlfru6RbwpfkfPXpQ1AxtR9L+RLjPvoxnZddXNaSPpqGL9UjRR3s+bRh7bsu0T9rg2X8ddD6r19rd1Phv3ls5wuMpnhAkOu/bjtLZ5mi/5KHFrSWCXQyYEAn8PDDD88FDaanp+fOh5x1x44d5txzzy2fn3gbAQMxupEJpuxEcxu7upNzG8EUDXDdsUaV7vKl40obdg1f3w1OWo9RseMeB0/Ac0nJy7nv/iVNsdenxH9d20qOKz/r0Ui65yid6JTwtWfoPt3a9UntlO2uZSTh2+d2l7i4nKW+S7okfEnOLn3qP6TkavlI+faJq2VBa/e8tG2elG+OupTPc5zbKf1Yw9fHOLb/Mk6OnGP77jUx55iaL9W5D2MM9M843jf+Mlr/Hf8Z5KkB/Hc0XOkoMe2tWyuu//raeW3fxa0L9vMR6GzAgJCsX7/e3HLLLQWdNWvWmLvuuqvY12wgYKChNxpZRKDzc3YHppInf2wtuTcVW96uU9bB6mzL2ufDUsYSvi5b4tKXJ+CtjYnxvts3m/3b77FJc+vYDlIMX7ejSweU2rVS6ZbtwH/zGMS9LlP4Toz/0lnlqEMeWjKtPt/FE5gylmWp1Fyt7lj/dSd8SU8fJgHpPHKcWyxfqodvAqAvjFP7sYRvLluT3rYtvj5TTB9Nytfnw32ZxPL5sLQvIeHr9iHI5/o2vkh1HUn4pjp2W/XAf/NYhrg+v/ZKc+iZvcUB6IGZRRevMYvXrivSYjZC/utrZzUP6cTUDWXTEOh0wIA+fHz55Zebhx56yCxYsMBcdtllhj6AnGLZtWuXufHGG82zzz5rli9fbrZs2WKOPfbYFKqjdNBF6FteeeUVX/LEpbmdTGkDFGrsmsD27QnX8rn6GvmYTrzVJeXr63D2ZUBq2eAJeEsi39rXQaKjcQdPMf7r81lpu5SPSDrN8N90LK2mVO2u1RfjvyTj8+G+tbt0nug/EIX0Syqutmax/ktyfe6X0fm51yj3Xkay7iLhSzpS1sGtUxv2U/mxlC8x6LsfWzv7+mjcSSwpX999tm99NfTPrIe1dy313/aeUbqawX/TsSxr8gVjKF8SLA35r9tPsPXo45jCnlsf150OGPTRIO450YXoWxAwmKfia/SkA6dQo+ezg68h7NsTFO6giTiMImjg68xLbmY+u7UpjXwYT8Dnt4ivraCj0gBx8TXrzKLVaxorEWof6KlPsmP5qQ2rsM8dI/ivtXLadap219Yq5L+23KS0u3S+vjYB/QfrCfJ1Sq62Flz/pfKT0C/zXaeSfpmEbx3jvt3nUvpxjP9am0yCH9tzpbWPN6Vz+v2xfH1s6Vh99GGML8iy7V5i/bfdZ5OudtQmwH/T8Sxr8vUhKJ/GxEs23mIOW7mqXLxx2+e/pJ/GMZM2Jm4E1eFMBAxabjy6CH0LAgYDKohAD1jk2KIbtvbna76bSVNdfTeyvj35Uz5/H2PK505exfD1DZT6zJbDmco0dZKa+DYFCpp0luvV9W34b3oL+piSP0l+Ntzkv+WaT1q7S+eO/kPZA9Jtp+Bqa8P1XyqfOtBm69DGdapzjeFLHHztBGdSt40MQ3VK4cexfKlOqWwbOr+25ft8i+rY1JeK4Uv6J20Sy9eXIKYYXxCF8S8x/jv+2o6+BvDffMzr2ls6IrUP9IqiUODA9V/SSffN6d07vRXvW1DWe5I9TETAoOVGpQvRtyBgMKBCNxNEoAc8cmwR4+cueeeQ6phBontTGVL2kwTfhDZl9f0mU8eYBkp4Ar7OW+LT69oLq4l4Uwdp4ezfgmUnmqnZfVqT/87sfdLMzL73kXRMz3aK3O8iWB205g7GyjJd3ob/prdeHdOYdtfWKtT+TnK7i/6D9ZJ067p2VvoUfMh/qea+SdY+t8PEWPswh7U4hy+V9U0w0D1z6bavWFW9WqfyYy5fgjdpfuw6jM/HbJm6SawQ30mfxKrrS2B8YT1rvOuQ/463duM/Ovw3nw18/Yjy0eyY+PCf/ArfjompDMnSmPj/vuiXzZbfe19wTHzUxpvnxtNl/djuBgEEDFpuPwWAgAAAQABJREFUJ7qJ+BYEDKpU6ho87mAx5mbtm1jp84DJkq7rxNO5h36+xuFL+iftyR/L1q7r/Jjymzg38cUT8JbuYE2c92+7x+zbkuabNwPN81uSCV1XRxf34b/praZpd21tmtoHtLvzgx534pXYof9gPUi2rmsPuFztUZv815aZ1H4ZMcbDHNYL8qy1fszxX1vzSfVje/52Xcfc5pcnsS644ALzL9/6djERRbIxD3ZMyiRWE1OML6xnjX4d0z6MvnbtOSL8N58tiK3vwZlUR5zUMXEqfm3Qg4BBG6zQUAe6kfgWBAyGqVCD5xs4UUcIT2gP85Kk1E1eka66J3/sceo6RaQTP1+zlOYnr5pu3HaghCfgB8ykW6k7SdQporaGfpEwqUuIKfw33jM07a49mtv+ot21ZObX6D9UeaTa03K19XD916Y3BcT7/qtEy6CufWiaBLSydl3Hl/JJPx7mwPjC+sqo1qG+hLYekziJFWKK/pnWq2TyTe2vTGM/peC/ee1KfF/YuL72dUKxR6d5oUkJyMay6Vp5BAxabjG6ifgWBAx8VOqfFKTSTYOnppt104C0Sae/ht1PpRuK72lMe2a2w1n++drUCcsN+SzJ4skfS6p+TZzwBHw9n9Q5xJsmRYh53XsX645p/X3SAwVlPvDfMo0028Q0tt21gauTFh1mvrPjAfartCa1g9/EuOlej/5Ds49LuVqtPr7ol1k68+u6oAHl4mGOKivpntSPff5r6wA/tiTq18Qdk1j1fGJziCfGF7HU8pVvah/yHbW7muG/+W1n21w6EsbE+Xl34QgIGLTcSnQj8S0IGPiozKdRQ4cntOv5pMgJMdYeYxKf/PExS80ZT8D7KFfTiDlNvtA3Cmaenv1ewTNPzf7tnStEk4YLjp/9rsGy+fWi1ZdO9K8JquSG9+C/w0w0Kal5unVBu4tfeLk+kWo/5Ls28Or+co6OT7Lnv+mN5r6tf41vxzQYhDghqNgAKEGW1I9pLIdvIOkMQOwpcEALJrF0LEk65MuxR8D4IpbYoDyCBgMW3C34L5eUrhxxDo2J/+YL/6+56oN/aBaetSr4kWRdbSA9LgIIGIyLPPO4CBgwQTnFqIHDExQOlAy7xBlP/mQA66i0N2w8Ae+AGdEuOvM60PBfHT9XGu2uSyTtPvFF/yEtU9IGrumZuhqJcdMDM2752H0EFeHHsT6Tozz5uZ3E+uKn7jRvf+PJtQ92YBKr2QKWJcYXzZxy5WJ8oSML/9Xx00rDf7UEuyGPgEHL7YSAgc5AqQdPeILCbw/ijCd//GxSp9rOEZ6AT022WR86Rc18uLnwXy6pcDm0u2FGmhLEN+XkK/oP89YAV41X8mRt2xD7JHaddryLeJgM/HiYybhS0D9LQ5582gZi8AvbNEw5WuC/HErhMvDfMKMcJeC/Oai2SycCBu2yx1Bt6CL0LXglkY9KfZq9ieAJinpGqXIsa86ENp78SUMdN+s0HOu0gG8dmTTp4Kvn2NTuPnlg2qw4923Fq7TQ7sbxtmzRf4jjFioNriFC+nxijIc59BybNMCPm+jkz0P/IS9j8AXfvATyaof/gm9eApOhHQGDltuZGjrfgoCBjwovzXbuORPaeEc5jymnFG7aHEryMuArZ8eRBF8OJXkZ8JWz40iCL4dSuAz6D2FGkhIhrvd/+3Hzi7/5nrlvyKBfJiE8/yqduqeHEVSUMXWlQn6MbyC5xNLs4/6WhmOdFvCtI5MmHXzTcKzTAr51ZNKkg28ajm3WgoBBm60zWze6CH0LAgY+KvI0NHZydhxJ8OVQkpcBXzk7jiT4cijJy4CvnB1HEnw5lORlwFfOjiMJvhxK8jLgK2fHkQRfDiV5GfCVs+NIgi+HkrwM+MrZcSTBl0NJXgZ85ey6JImAQcutRReib0HAwEdFl4ZGT8cvJA2+IUK6fPDV8QtJg2+IkC4ffHX8QtLgGyKkywdfHb+QNPiGCOnywVfHLyQNviFCunzw1fELSYNviJAuH3x1/ELS4BsipMsHXx2/LkgjYNByK9FF6FsQMPBRkaehsZOz40iCL4eSvAz4ytlxJMGXQ0leBnzl7DiS4MuhJC8DvnJ2HEnw5VCSlwFfOTuOJPhyKMnLgK+cHUcSfDmU5GXAV86OIwm+HEryMuArZ9clSQQMWm4tuhB9CwIGPiq6NDR6On4hafANEdLlg6+OX0gafEOEdPngq+MXkgbfECFdPvjq+IWkwTdESJcPvjp+IWnwDRHS5YOvjl9IGnxDhHT54KvjF5IG3xAhXT746vh1QRoBg5ZbiS5C34KAgY+KPA2NnZwdRxJ8OZTkZcBXzo4jCb4cSvIy4Ctnx5EEXw4leRnwlbPjSIIvh5K8DPjK2XEkwZdDSV4GfOXsOJLgy6EkLwO+cnYcSfDlUJKXAV85uy5JImDQcmvRhehbEDDwUdGlodHT8QtJg2+IkC4ffHX8QtLgGyKkywdfHb+QNPiGCOnywVfHLyQNviFCunzw1fELSYNviJAuH3x1/ELS4BsipMsHXx2/kDT4hgjp8sFXx68L0ggYtNxKdBH6FgQMfFTkaWjs5Ow4kuDLoSQvA75ydhxJ8OVQkpcBXzk7jiT4cijJy4CvnB1HEnw5lORlwFfOjiMJvhxK8jLgK2fHkQRfDiV5GfCVs+NIgi+HkrwM+MrZdUkSAYOWW4suRN+CgIGPii4NjZ6OX0gafEOEdPngq+MXkgbfECFdPvjq+IWkwTdESJcPvjp+IWnwDRHS5YOvjl9IGnxDhHT54KvjF5IG3xAhXT746viFpME3REiXD746fl2QRsCg5Vaii9C3IGDgoyJPQ2MnZ8eRBF8OJXkZ8JWz40iCL4eSvAz4ytlxJMGXQ0leBnzl7DiS4MuhJC8DvnJ2HEnw5VCSlwFfOTuOJPhyKMnLgK+cHUcSfDmU5GXAV86uS5IIGLTcWnQh+hYEDHxUdGlo9HT8QtLgGyKkywdfHb+QNPiGCOnywVfHLyQNviFCunzw1fELSYNviJAuH3x1/ELS4BsipMsHXx2/kDT4hgjp8sFXxy8kDb4hQrp88NXx64I0AgYttxJdhL4FAQMfFXkaGjs5O44k+HIoycuAr5wdRxJ8OZTkZcBXzo4jCb4cSvIy4Ctnx5EEXw4leRnwlbPjSIIvh5K8DPjK2XEkwZdDSV4GfOXsOJLgy6EkLwO+cnZdkkTAoOXWogvRtyBg4KOiS0Ojp+MXkgbfECFdPvjq+IWkwTdESJcPvjp+IWnwDRHS5YOvjl9IGnxDhHT54KvjF5IG3xAhXT746viFpME3REiXD746fiFp8A0R0uWDr45fF6QRMGi5legi9C0IGPioyNPQ2MnZcSTBl0NJXgZ85ew4kuDLoSQvA75ydhxJ8OVQkpcBXzk7jiT4cijJy4CvnB1HEnw5lORlwFfOjiMJvhxK8jLgK2fHkQRfDiV5GfCVs+uSJAIGLbcWXYi+BQEDHxVdGho9Hb+QNPiGCOnywVfHLyQNviFCunzw1fELSYNviJAuH3x1/ELS4BsipMsHXx2/kDT4hgjp8sFXxy8kDb4hQrp88NXxC0mDb4iQLh98dfy6II2AQcutRBehb0HAwEdFnobGTs6OIwm+HEryMuArZ8eRBF8OJXkZ8JWz40iCL4eSvAz4ytlxJMGXQ0leBnzl7DiS4MuhJC8DvnJ2HEnw5VCSlwFfOTuOJPhyKMnLgK+cXZckETBoubXoQvQtCBj4qOjS0Ojp+IWkwTdESJcPvjp+IWnwDRHS5YOvjl9IGnxDhHT54KvjF5IG3xAhXT746viFpME3REiXD746fiFp8A0R0uWDr45fSBp8Q4R0+eCr49cFaQQMaqx06NAh881vftMsXrzYLFmyxLzuda+rKZk3mS5C34KAgY+KPA2NnZwdRxJ8OZTkZcBXzo4jCb4cSvIy4Ctnx5EEXw4leRnwlbPjSIIvh5K8DPjK2XEkwZdDSV4GfOXsOJLgy6EkLwO+cnYcSfDlUJKXAV85uy5JImBQY61rr73WfOxjH5vLXbBggfn6179uzjjjjJrS+ZLpQvQtCBj4qOjS0Ojp+IWkwTdESJcPvjp+IWnwDRHS5YOvjl9IGnxDhHT54KvjF5IG3xAhXT746viFpME3REiXD746fiFp8A0R0uWDr45fSBp8Q4R0+eCr49cF6U4HDL773e+az33uc2bPnj1zfy+++KL56Z/+6blfA7zpTW8yv/Ebv2He8IY3iOywevVqs3379kL23nvvNRdddFGxP6oNugh9CwIGPiryNDR2cnYcSfDlUJKXAV85O44k+HIoycuAr5wdRxJ8OZTkZcBXzo4jCb4cSvIy4Ctnx5EEXw4leRnwlbPjSIIvh5K8DPjK2XEkwZdDSV4GfOXsuiTZyYDBzMyM+chHPmI+/OEPm5dffrmR91lnnWXe9773md/+7d825NTcBQEDLqn+lEOjl9eW4Au+eQnk1Q7/Bd+8BPJqh/+Cb14CebXDf8E3L4G82uG/4JuXQF7t8F/wzUsgr3b4L/jmJdB/7Z0LGExPT5sLLrjAPPDAA1HWOe+888wnPvEJc8opp7DkEDBgYepNIdxM8poSfME3L4G82uG/4JuXQF7t8F/wzUsgr3b4L/jmJZBXO/wXfPMSyKsd/gu+eQnk1Q7/Bd+8BCZDe+cCBvTLgg984AMi6yxatMh86EMfMjfccINZuHBhow4EDBrx9DITN5W8ZgVf8M1LIK92+C/45iWQVzv8F3zzEsirHf4LvnkJ5NUO/wXfvATyaof/gm9eAnm1w3/BNy+B/mvvVMDgP//zP82pp55q6FsFmoV+oXDXXXeZ17zmNbVqEDCoRdPLDNxM8poVfME3L4G82uG/4JuXQF7t8F/wzUsgr3b4L/jmJZBXO/wXfPMSyKsd/gu+eQnk1Q7/Bd+8BCZDe6cCBjfddJPZuHHjkGWOP/74uW8UvPnNbzYLFiwwTz755NwHi+m1RXUfBz755JPnytDHkX0LAgY+Kv1Ow00lr33BF3zzEsirHf4LvnkJ5NUO/wXfvATyaof/gm9eAnm1w3/BNy+BvNrhv+Cbl0Be7fBf8M1LoP/aOxUwuOKKK8ynP/3pilXe8573mL/8y780Rx99dCWddp566inzF3/xF+a2224zBw8eHMp/7Wtfaz73uc+Zs88+eygPAYMhJL1OwM0kr3nBF3zzEsirHf4LvnkJ5NUO/wXfvATyaof/gm9eAnm1w3/BNy+BvNrhv+Cbl0Be7fBf8M1LYDK0dypgcPrpp5s9e/YUlqFfFOzevdscccQRRZpv45vf/KZ5//vfb770pS8NZR911FHms5/97NyHlMuZCBiUaUzGNm4qee0MvuCbl0Be7fBf8M1LIK92+C/45iWQVzv8F3zzEsirHf4LvnkJ5NUO/wXfvATyaof/gm9eAv3X3pmAwczMjFmyZInZv39/YZUtW7aY3/3d3y32QxtU/rrrrqvoIBn6GDJ90+Diiy8uVCBgUKCYiA3cTPKaGXzBNy+BvNrhv+Cbl0Be7fBf8M1LIK92+C/45iWQVzv8Nx3fQ08/ZfZvu8cceuYpM/P03rn1oWf2mgXHnzB3kAXHn2imls1vH756jTls5ap0B59QTfDfvIYHX/DNSyCvdvhvXr5t0d6ZgMG+ffvMkUceWeG2c+dOc84551TSQju7du0y7373u+deV1Que9hhh5mtW7eayy67bC4ZAYMyncnYRqOX187gC755CeTVDv/V820a7D/xxBNmxblvw2Bfj9mrAf7rxRKVCP+NwpW0MPw3Kc4hZeA7hCRpAvjKcR78+k4zvWun2bdlc7QSCiRQ0ADBg2h0FQH4bwVH8h3wTY60ohB8KziS74BvcqStU9iZgAGRe9WrXmWef/75AiJN/q9cubLY527QR5Hf9a53mX//93+viExNTZk77rjD/NZv/ZZBwKCCplc7TYN+OlE8oZLe3LiZpGda1gi+ZRrpt8FXztQO9vdvv3v2acC9UYow2I/CVVsY/luLJpgB/w0iyl4A/psXMfiCb14CMu3U9h7YdrfZv/0emQJHatHFlyJw4DDh7KJ94FDilcH8A49TylLw35Q0h3WB7zCTPqZ0KmBw6qmnGvoegV3uvPNO85u/+Zt2N2r97LPPzr2CaMeOHRU5cvyPfexjZvv27XN/NvPee+81F110kd0d2Zrq41teeeUVXzLSaghg0F8DZoTJuKnkhQ2+4JuXQJx2Ghjtu31zksG+DRwsvmadWbDsxLiKoPQcAbQPcY4A/43jlbs0/DcvYfAF37wE4rS/uPGGJH0H96i2L7Fk4y1uFvYbCKB9aIATyML8QwDQCLLhv3khg29evm3Q3qmAwRVXXGE+/elPF9yuvfZa89GPfrTYj9148cUX515P9IUvfCEoioBBEFErC2DQ3w6z4GaS1w7gC755CcRp3/fxzaLXB4SOgsF+iJA/H+2Dn0tdKvy3jsx40uG/ebmDL/jmJcDXTpOr1P5O795ZK0S/FKBfgi88a5WZmn3l0NQJy83M3ifnys/M/orRPsXdpIP6Esd8fCseQKilPMhA+zBgEbOF+YcYWvnKwn/zsSXN4JuXb1u0dypgQN8YeO9731uwO+qoo+a+RUCvKpIu9BFlCkR85jOfaVSBgEEjnlZmYtDfLrPgppLXHuALvnkJ8LQ/f82VUYN9+sUADaxWrFhhvrPjAdZgf+GZq8xRG2/GYJ9nkrlSaB94sOC/PE6jLgX/zUscfME3L4GwdgoW/Hjtld6CdM9ftPrS2b813nyf/1K/gnTSR5J9wQMKGtCvFut0eg80oYk+vhOKgnXamH9gYRpZIfhvXtTgm5dvG7R3KmBArxE68cQTzUsvvVSwu+mmm8yHPvShYl+yMT09ba666irzN3/zN7XiCBjUomllRuygX/KECiat+KbHzYTPSlISfCXU+DLgG2ZFA3N6jYDvOwW5Bvv0WgH6oCGWZgLw32Y+lAv/DTMaVwn4b17y4Au+eQmEtdcFC6jvsHjtusb7PMd/99O3EDyBAwQNwrbh8A1rmZwSmH9ol63hv3ntAb55+bZFe6cCBgTt93//982f//mfF/wWL15s/u3f/m3u6cQiUbBB3wR4//vfP/f9Ap84AgY+Ku1Lw6C/fTaxNcJNxZLIswbfPFytVvC1JIbXdYP9mMF4E18a7NP3ENxgBOlH0GDYHr6UJr6+8pOUBv9tv7Xhv3ltBL7gm5dAvfa69peCBcfcvrVesJTD8d+6V8RQPwKvJyrB9Gxy+HrEJioJ8w/tNTf8N69twDcv3zZo71zA4Pvf/775+Z//efODH/yg4Hf99debP/3TPy32NRsf/OAHzc033zykAgGDISStS6jrdHImrTiNHSat5Cbn8JVrhyT45vUB8G3m+9zqdwxN5mOw38xslLnw32ba8N9mPuPOhf/mtQD4gm9eAs3afe3vkg/fzH5VUKz/0ljuxZvWVyqFoEEFR2Unlm9FeEJ2MP/QXkPDf/PaBnzz8m2L9s4FDAjcjh07zJ/8yZ+Y559/3tB3DOiXARdffHEyph/5yEcMBQ7oVUW00MXwjW98w5x66qnJjsFVRMf2LfSLCCxVAr5OJyatqozGuYebSl764Au+eQn4tft+fk0fJaQn/2MWjv/SE4L0WoF9WzZXVMe08xXBCdrh8J0gHMWpwn8LFK3egP/mNQ/4gm9eAn7tvvb36NmPEce+ajDWf31BA0m/xX9W/UuN5ds/As1nhPmHZj7jzoX/5rUA+Obl2wbtnQwYjALck08+aXbv3m0OHTpkTjnllLEEC+g86SL0LQgYVKn4Op0xnb+Yxg6TVlX2nL0Yvhx9KFMlAL5VHqn3wNdPlL5ZsH/7PZXMmHbXCsby9X1QTnJce/y+r2P59p2HPT/4ryXR7jX8N699wBd88xLwa/c9lS25j0v919ePkAQr/GfXn1Qp3/4QaD4TzD808xl3Lvw3rwXANy/ftmhHwKAtlqipB12IvgUBgwEVDPoHLNq8hZtKXuuAL/jmJVDVToHT5y55ZyVR86R/jP/63kWMVwpUTDG0E8N3SLiHCfDfbhkV/pvXXuALvnkJDGt3J1pH1X+wNaF7wAsb15vp3TttktHUoVDSww20D36jYv7Bz6VtqfDfvBYB37x826AdAYM2WKGhDnQR+hYEDOappBr0Sxo7TFr5PNOfJuHr14RUHwHw9VFJlwa+wyzdgRJN2C/d9pXhgowUCV9qf59fe2Xl2wmSpxMZ1et8EQnfzp904ATgvwFALcqG/+Y1BviCb14Cw9p9rwSSPt2v8V/frxyk9Rg+y36kaPj2g4D/LDD/4OfStlT4b16LgG9evm3RjoBBWyxRUw+6EH0LAgbzVDDo93lHO9NwU8lrF/AF37wEBtp9A6WYjxQONA22JP7rTjpQ0IK+nRD7/uNBLfq7JeHbVxrw3+5ZFv6b12bgC755CVS1u2M3bbBf47+p61I9037safj2g8DwWbh+g4dmhhm1JQX+m9cS4JuXbxu0I2DQBis01IEuQt+CgIExKQf9msYOk1Y+D62mafhWNWHPRwB8fVTSpYFvlWXKgRJp1vB1X2ugnXionmk/9jR8+0Ggehbw3yqPtu/Bf/NaCHzBNy+BYe0/OuvnKolLP/tls2DZiZU07o7Wf92xpGbil1vnLpXT8u3SuXLr6voMyUkfmtHwxfxD2GIavmHtKAG+k+EDCBjU2Jk+dvy1r33NTE1NmSOPPBIfPa7hNM5kDPrHST/+2LipxDOLkQDfGFrxZcF3wOy51e+ovApIOlAaaJQHDXwDJumrkcr16ds2/HdgUfjvgEVXtuC/eS0FvuCbl8BAu+81QK/Z9Z1BAcGW1n/dBw/wWqKqEbR8q9q6v4f5h27ZEP6b117gm5dvG7QjYFBjhdtuu81cf/31Re6DDz5oVq1aVeyPaoMuQt+CXxgYk3LQr23sMGnl89JBmpbvQBO2fATA10clXRr4Dlj6nqwa52DfVx8M9gf2oi3474CHz1/gvwM+bdyC/+a1CviCb14CVe3uZOviq9eZxWvXVQtF7KXwX3cMh18qDgyQgu9AWz+2MP/QHTvCf/PaCnzz8m2LdgQMaiyxYcMGs2nTpiL33nvvNRdddFGxP6oNuhB9y6QHDDDo93lFu9NwU8lrH/AF37wE5rXv+/hms2/L5uJQqQbWGv91nw5MVafiJHuwoeHbg9MvTgH+W6Do1Ab8N6+5wBd88xIYaHcDBuP8haKtFQIGloR/jfZhwAXzDwMWXdmC/+a1FPjm5dsG7QgY1FgBAYMaMC1JTj3oT9HYYdKq3jlS8K3XjhzwzesD4Dvgi8H+gEVXtuC/A0vBfwcsurIF/81rKfAF37wEqtrdp7M13y8gzSn8131N0sIzV5ljbt9arfiE7qXg2yd0mH/oljXhv3ntBb55+bZFOwIGNZZAwKAGTEuSMehviSEiqoGbSgQsQVHwFUCLEAHfeVhuYDTV6380fDHYDzuyhm9Ye3dKwH+7Y6tyTeG/ZRrpt8E3PdOyRvAd0EgdMCDNWr7uU+P48PHAXin4VrV1ew/zD92zn7Z96N4Zj7bG4Dta3uM4GgIGNdQRMKgB05Lk1IP+FI0dJq3qnSMF33rtyAHfvD4AvgO+GOwPWHRlC/47sBT8d8CiK1vw37yWAl/wzUugqv1HZ/1cJWGc35ApVyR1vcq6u7yN9qFqPcw/VHm0fQ/+m9dC4JuXb1u0I2BQYwkEDGrAtCQZg/6WGCKiGripRMASFAVfAbQIEfCdh5VrUK3hi6cDw46s4RvW3p0S8N/u2KpcU/hvmUb6bfBNz7SsEXwHNNo4fqPa5bo3DM68u1vw34Ht2ui/6AMP7OPbgv/6qKRLA990LNuqqVMBg7Vr15qtW0fzTsEDBw6YgwcPFnZr20ePqWL04WN7kU7a2u3Yvfbrj4+dx8zeJ81zl7yz8Bn6Seurt//L2Os1yX4yadcFzvencL1lvi/8cOXJRRtHG/R0YBv8rq31Qvvbrn5KW/2krfWC/7bLf2EP2KMN91uNH2475UTztqOPKPoRl3z7afPA8y+NtR9xYNeD5sdrryzqRN8weNWWO9GfzNyf1PjRuK4DzD9gnNVFv819vRSNJzZ6SaBTAYOzzz7b7Nq1ayyGaFvAYNIbq7YOrttar0n3F5w/Btm5O0uTov/R019vlh++sLgPv3XPE+aJ/QfHOthHsBbXN/f6g/9isI/+ANoLbnuBcunbi/+9+j1mevfOog9B30E6/Kxzxzo5f94xR5rPvnFZUaev/vhls/qxp8bar0E71c52qq3j/LbWC37cTj/OYZeiAcVG7wh0KmBwxhlnmEcffXQsRmhjwGAsIFpy0NQ/CbSDAs3p4SeB9fRS8K3XjhzwzesD4Dvgm/r9raRZyxffjxnYx7el5evT2dU0+G/3LAf/zWsz8AXfvASq2t2Pxi66+FKzZOMt1UIReyn8163T4qvXmcVr10XUor9FU/DtEx3MP3TLmvDfvPYC37x826K9UwGD888/39x///1jYYeAwViw1x4Ug/5aNK3NwE0lr2nAF3zzEpjX7g6sl3z4ZrNo9Rr1oTX+u+/jm82+LZuLOmgnIApFPdrQ8O0RBgP/7aY14b957Qa+4JuXwED7/m13mxdvWl8k0Otbl277SrEv2dD6rzsJnKpfIzmXNspo+bbxnKR1wvyDlNz45OC/edmDb16+bdDeqYDBJz/5SXPVVVdVuK1YscKcd955lbQUO4888ojZs2dPoQoBgwJFKzZSD/pTNHaYtKp3jRR867UjB3zz+gD4Dvi6g/0Uk/Navu79AE8HDuxFW1q+VW3d3oP/ds9+8N+8NgNf8M1LoKrd/TU25dJriQ5buapakLmn9V9ffejbTFjmCWj59o2j29/UBpdS8MX8Q72XpeBbrx054DsZPtCpgAGZ5MILLzT33XdfYZ3TTz/d7N6920xNTRVpKTY2bNhgNm3aVKhCwKBA0YoNDPpbYYaoSuCmEoUrujD4RiOLEgDfeVzu4DrF04GkWcPX/Qjd0s9+2SxYdmKUffteWMO3T2zgv920Jvw3r93AF3zzEqhqd5/S1j54oPHf1HWpnmk/9jR8+0FgcBaYfxiw6MoW/DevpcA3L982aO9cwODxxx83p512mtm3b1/Bb/Pmzea6664r9lNsIGCQgmI+HakH/SkaO0xa1ds7Bd967cgB37w+AL5Vvu4AW/N0IGnW8HUHb6kCGNUz7vaehm+3z9xfe/ivn0tbU+G/eS0DvuCbl8Cwdve+TSWk/QiN/7rfP9LUY/gs+5Gi4dsPAtWzwPxDlUfb9+C/eS0Evnn5tkV75wIGBO7WW281N9xwQ8Fw6dKl5rHHHjPHHXdckabdQMBASzC/PAb9+RmnPAJuKilpDusC32EmKVPAd0DTHeynmKSX8nXvA3gd0cBO5S0p37KOvmzDf7tnSfhvXpuBL/jmJTCs3b13LzxzlTnm9q3DBRkpUv9NWQdGNTtbRMq3syccqLjrN9Jglz2Mhm+O/oytV1/WGr59YZDzPMA3J9126O5kwGBmZsacc845c68ishjp2wZ33HGH3VWvETBQI8yuIOVNUtvYuZ0HTFpVza/lW9WGPZcA+LpE0u6Db5Wn+4QV5Wre4yrl694DqB7agRvp6Nsi5ds3DvZ84L+WRDfW8N+8dgJf8M1LwK/d93S/ZOwk9V933Ea1RP9h2FZSvsOa+pPi9j01D81o+bp+LLmG+mOZ4TPR8h3WiJQyAfAt0+jvdicDBmSOhx9+eC5oMD09PWcdctgdO3aYc889N4m1EDBIgjGrEgz6s+JNrhw3leRIKwrBt4Ij+Q74VpG6H37TDJhIs4Tvc6vfYQ49s7eomPY9yIWiHm5I+PYQQ3FK8N8CRSc24L95zQS+4JuXgF+72w5TKcmEZ6z/+oIV6D/4bUSpsXzrNfUjB/MP3bIj/DevvcA3L982aO9swIDgrV+/3txyyy0FxzVr1pi77rqr2NdsIGCgoTc6WbezKZ200jR2mLQK21vDN6wdJcA3rw+A7zBf34BJ+koBCV/3qSqqIT52PGwnSpHw9WvqTyr8tzu2hP/mtRX4gm9eAvXaqR1+fu2VlcA/jeMWXbzGLF67rl6wlBPrv75ggXTsWKpGbzdj+fYWhHNimH9wgLR0F/6b1zDgm5dvW7R3OmBAHz6+/PLLzUMPPWQWLFhgLrvsMkMfQE6x7Nq1y9x4443m2WefNcuXLzdbtmwxxx57bArVUTroQvQtr7zyii954tIw6O+OyXFTyWsr8AXfvASGte/7+Gazb0v1nit5OpA0x/ivO1AjeelxSXYSlhi+k8CDzhH+2x1Lw3/z2gp8wTcvgXrtvnEclY554p/rv74HDehYeBURUahfuHzrNfQvx+e3eGimnXaG/+a1C/jm5dsG7Z0OGLQBYO460EXoWxAwGFBJMeiXNHaYtBrYILQl4RvSifwBAfAdsMixBb5+qjRg2nf7ZrN/+z2VArGT9zF8fe2udJBWqXSPd2L49hjD0KnBf4eQtDIB/pvXLOALvnkJhLX7nvonKXryf8nGW8xhK1fVKuH4L+mnvkP5FYZWIYIFloR/zeHrl+x/KuYf2m9j+G9eG4FvXr5t0Y6AQVssUVMPuhB9CwIGAyoY9A9YtHkLN5W81gFf8M1LwK+d2l/3lQJUMnYSn+O/vqcD8SoBv13cVA5fV2YS9uG/3bAy/DevncAXfPMSCGuvCxqQJPUn6BVFdYGDOv8lnTSpO717p7cCCBZ4sQwl1vEdKjhhCZh/6IbB4b957QS+efm2QTsCBm2wQkMd6CL0LQgYVKloB/0xjR0mrarsOXsxfDn6UKZKAHyrPFLvgW8zUWp/n7vknUOFaDJ/8TXrzKLVa4byygkhvvu33T33SwY8HVimxt8O8eVr6mdJ+G+77Qr/zWsf8AXfvAT42uvGclYD9SkoaHD4T/oUU7P7UycsNzQmJtmZZ/bOradnAwXuLx+tDlpTAOKojTebBctOLCdj20MA7YMHSimpzme5D83E8MX8Qwk8czOGL1MlipUIgG8JRo83ETBouXHpQvQtCBgMU8Ggf5hJm1JwU8lrDfAF37wEmrXXDZpISvpagaZAAUdnc40nKxftQ7O94b/NfMadC//NawHwBd+8BPjaqS32veqQr6G5ZMy3EZo1TU4u2odmW2P+oZnPuHPhv3ktAL55+bZBOwIGbbBCQx3oIvQtCBj4qJi5J0t8r8eg0k0TTE2NHSat/KxjUpv4xuhBWT8B8PVzSZUKvjySoYG+fTpw4ewTgvRkHz0dSGviO7P3yainA4+5fSuvUigV9UHpScYF/22n9dH+5rUL+IJvXgIy7dQev7Bxfe3rhGK14lcFscTmy6N94HEjf8X8A4/VKEvBf/PSBt+8fNuiHQGDtliiph50IfoWBAx8VObTMOivZzPOHNxU8tIHX/DNS4Cnndrf/dvuMfu2bOYJRJbC04GRwH5SHO0Djxv8l8dp1KXgv3mJgy/45iUg105tMgUOaKn7FkGddvuQAr0aEa8fqqMUTkf7EGZEJTD/wOM06lLw37zEwTcv3zZoR8CgDVZoqANdhL4FAQMflUEaBv0DFm3Yws0krxXAF3zzEojXHho4xWqkQAEG/bHU5sujfYjnBv+NZ5ZLAv6bi+y8XvAF37wE0mmndpk+ZEzfKJh5evZ7Bc88Nfu3d+4AFBxYcPzsLxeXza8XnrWq9iPJ6WrUf01oH+JsjPmHOF65S8N/8xIG37x826IdAYO2WKKmHnQh+hYEDHxUhtMw6B9mMq4U3FTykgdf8M1LQKbdDvDpVwd4OlDGMIUU2gcZRfivjFtqKfhvaqJVfeBb5ZF6D3xTE63qA98qj9R74BtPFPMP8cxyScB/c5Gd1wu+efm2QTsCBm2wQkMd6CL0LQgY+KjUp2HQX89mFDm4meSlDL7gm5dAGu22HeY8Hbho9aV4hUAa7PiGQSKO8N9EICPV4P4WCSyyOPhGAossDr6RwCKLg28ksMji4BsJzClu+w14aMYBM6Jd+G9e0OCbl29btCNg0BZL1NSDLkTfgoCBjwovzd68MWnF45WqFG4qqUj69YCvn0uqVPBNRdKvB3z9XFKlgm8qkn494OvnkioVfFOR9OsBXz+XVKngm4qkXw/4+rmkSgXfNCQx/5CGY6wW+G8ssbjy4BvHq4ulETBoudXoIvQtCBj4qMjT0NjJ2XEkwZdDSV4GfOXsOJLgy6EkLwO+cnYcSfDlUJKXAV85O44k+HIoycuAr5wdRxJ8OZTkZcBXzo4jCb4cSvIy4Ctnx5EEXw4leRnwlbPrkiQCBi23Fl2IvgUBAx8VXRoaPR2/kDT4hgjp8sFXxy8kDb4hQrp88NXxC0mDb4iQLh98dfxC0uAbIqTLB18dv5A0+IYI6fLBV8cvJA2+IUK6fPDV8QtJg2+IkC4ffHX8uiCNgEHLrUQXoW9BwMBHRZ6Gxk7OjiMJvhxK8jLgK2fHkQRfDiV5GfCVs+NIgi+HkrwM+MrZcSTBl0NJXgZ85ew4kuDLoSQvA75ydhxJ8OVQkpcBXzk7jiT4cijJy4CvnF2XJBEwaLm16EL0LQgY+Kjo0tDo6fiFpME3REiXD746fiFp8A0R0uWDr45fSBp8Q4R0+eCr4xeSBt8QIV0++Or4haTBN0RIlw++On4hafANEdLlg6+OX0gafEOEdPngq+PXBWkEDFpuJboIfQsCBj4q8jQ0dnJ2HEnw5VCSlwFfOTuOJPhyKMnLgK+cHUcSfDmU5GXAV86OIwm+HEryMuArZ8eRBF8OJXkZ8JWz40iCL4eSvAz4ytlxJMGXQ0leBnzl7LokiYBBy61FF6JvQcDAR0WXhkZPxy8kDb4hQrp88NXxC0mDb4iQLh98dfxC0uAbIqTLB18dv5A0+IYI6fLBV8cvJA2+IUK6fPDV8QtJg2+IkC4ffHX8QtLgGyKkywdfHb8uSCNg0HIr0UXoWxAw8FGRp6Gxk7PjSIIvh5K8DPjK2XEkwZdDSV4GfOXsOJLgy6EkLwO+cnYcSfDlUJKXAV85O44k+HIoycuAr5wdRxJ8OZTkZcBXzo4jCb4cSvIy4Ctn1yVJBAxabi26EH0LAgY+Kro0NHo6fiFp8A0R0uWDr45fSBp8Q4R0+eCr4xeSBt8QIV0++Or4haTBN0RIlw++On4hafANEdLlg6+OX0gafEOEdPngq+MXkgbfECFdPvjq+HVBGgGDlluJLkLfgoCBj4o8DY2dnB1HEnw5lORlwFfOjiMJvhxK8jLgK2fHkQRfDiV5GfCVs+NIgi+HkrwM+MrZcSTBl0NJXgZ85ew4kuDLoSQvA75ydhxJ8OVQkpcBXzm7LkkiYNBya9GF6FsQMPBR0aWh0dPxC0mDb4iQLh98dfxC0uAbIqTLB18dv5A0+IYI6fLBV8cvJA2+IUK6fPDV8QtJg2+IkC4ffHX8QtLgGyKkywdfHb+QNPiGCOnywVfHrwvSCBi03Ep0EfoWBAx8VORpaOzk7DiS4MuhJC8DvnJ2HEnw5VCSlwFfOTuOJPhyKMnLgK+cHUcSfDmU5GXAV86OIwm+HEryMuArZ8eRBF8OJXkZ8JWz40iCL4eSvAz4ytl1SRIBg5Zbiy5E34KAgY+KLg2Nno5fSBp8Q4R0+eCr4xeSBt8QIV0++Or4haTBN0RIlw++On4hafANEdLlg6+OX0gafEOEdPngq+MXkgbfECFdPvjq+IWkwTdESJcPvjp+XZBGwKDlVqKL0LcgYOCjIk9DYydnx5EEXw4leRnwlbPjSIIvh5K8DPjK2XEkwZdDSV4GfOXsOJLgy6EkLwO+cnYcSfDlUJKXAV85O44k+HIoycuAr5wdRxJ8OZTkZcBXzq5LkggYtNxadCH6FgQMfFR0aWj0dPxC0uAbIqTLB18dv5A0+IYI6fLBV8cvJA2+IUK6fPDV8QtJg2+IkC4ffHX8QtLgGyKkywdfHb+QNPiGCOnywVfHLyQNviFCunzw1fHrgjQCBi23El2EvgUBAx8VeRoaOzk7jiT4cijJy4CvnB1HEnw5lORlwFfOjiMJvhxK8jLgK2fHkQRfDiV5GfCVs+NIgi+HkrwM+MrZcSTBl0NJXgZ85ew4kuDLoSQvA75ydl2SRMCg5daiC9G3IGDgo6JLQ6On4xeSBt8QIV0++Or4haTBN0RIlw++On4hafANEdLlg6+OX0gafEOEdPngq+MXkgbfECFdPvjq+IWkwTdESJcPvjp+IWnwDRHS5YOvjl8XpBEwaLmV6CL0LQgY+KjI09DYydlxJMGXQ0leBnzl7DiS4MuhJC8DvnJ2HEnw5VCSlwFfOTuOJPhyKMnLgK+cHUcSfDmU5GXAV86OIwm+HEryMuArZ8eRBF8OJXkZ8JWz65IkAgY11jp06JD52te+ZqampsyRRx5pTj311JqSeZPpQvQtCBj4qOjS0Ojp+IWkwTdESJcPvjp+IWnwDRHS5YOvjl9IGnxDhHT54KvjF5IG3xAhXT746viFpME3REiXD746fiFp8A0R0uWDr45fSBp8Q4R0+eCr49cFaQQMaqx02223meuvv77IffDBB82qVauK/VFt0EXoWxAw8FGRp6Gxk7PjSIIvh5K8DPjK2XEkwZdDSV4GfOXsOJLgy6EkLwO+cnYcSfDlUJKXAV85O44k+HIoycuAr5wdRxJ8OZTkZcBXzo4jCb4cSvIy4Ctn1yVJBAxqrLVhwwazadOmIvfee+81F110UbE/qg26EH0LAgY+Kro0NHo6fiFp8A0R0uWDr45fSBp8Q4R0+eCr4xeSBt8QIV0++Or4haTBN0RIlw++On4hafANEdLlg6+OX0gafEOEdPngq+MXkgbfECFdPvjq+HVBGgGDGishYFADpqfJaOzyGhZ8wTcvgbza4b/gm5dAXu3wX/DNSyCvdvgv+OYlkFc7/Bd88xLIqx3+C755CeTVDv8F37wEJkM7AgY1dkbAoAZMj5NxU8lrXPAF37wE8mqH/4JvXgJ5tcN/wTcvgbza4b/gm5dAXu3wX/DNSyCvdvgv+OYlkFc7/Bd88xLov3YEDGpsjIBBDZieJuNmktew4Au+eQnk1Q7/Bd+8BPJqh/+Cb14CebXDf8E3L4G82uG/4JuXQF7t8F/wzUsgr3b4L/jmJTAZ2hEwqLEzAgY1YHqcjJtKXuOCL/jmJZBXO/wXfPMSyKsd/gu+eQnk1Q7/Bd+8BPJqh/+Cb14CebXDf8E3L4G82uG/4JuXQP+1dypgsHbtWrN169aRWOXAgQPm4MGDxbHw0eMCRS83cDPJa1bwBd+8BPJqh/+Cb14CebXDf8E3L4G82uG/4JuXQF7t8F/wzUsgr3b4L/jmJZBXO/wXfPMSmAztnQoYnH322WbXrl1jsQwCBmPBPtKD4qaSFzf4gm9eAnm1w3/BNy+BvNrhv+Cbl0Be7fBf8M1LIK92+C/45iWQVzv8F3zzEsirHf4LvnkJ9F97pwIGZ5xxhnn00UfHYhUEDMaCfWQHxc0kL2rwTcf30NNPmf3b7jGHnnnKzDy9d2596Jm9ZsHxJ8wdZMHxJ5qpZfPbh69eYw5buSrdwSdAE/iO3shoH/IyB1/wzUsgr3b4L/jmJZBXO/wXfPMS0Gtv6vc+8cQTZsW5b8O4Qo/ZqwHtgxeLKLHJj0khxscirI1C8N9GPL3J7FTA4Pzzzzf333//WOAjYDAW7MkP2nQzQadIjxt89Qx9Gg5+faeZ3rXT7N9+92yAYK+vSG0aBRIoaIDgQS0iY/nu27K5vlBNDvjWgIlMRqczEpinONpfD5QRJcF/84IGX/DNSyCvdvgv+OYlEK/d9nsxrohnl1oC7YOcKPxYzk4i2TTOIH0Iykiotl+mUwGDT37yk+aqq66qUF2xYoU577zzKmkpdh555BGzZ8+eQhUCBgWKzm3gZpLXZJYvJlvTc6Yb877bN88GCu5RK7cT24uvWWcWLDtRra8PCsh3D2y7Owlf4rHo4ksRmAk4BjqbAUCR2Wh/I4Epi8N/lQBrxJu44mGOGmiJkjFZlQjkrJomP6ajYDIlHWurCf5rSfDW5KMYV/BYjaIU/FdGGX4s4yaRsuMMBBcl9Poh06mAASG/8MILzX333VfQP/30083u3bvN1NRUkZZiY8OGDWbTpk2FKgQMChSd2cDNJK+pMNmal+++j282kiBMqFY2cLBk4y2hor3Of3HjDckCBWVQ4FumMb+NzuYwE20K2l8tQb48/JfPKqak5Sq5z9l2Fr+ciyFeXxaTVvVsQjnw4xCh/PnwXx5jjCt4nHKWQlBRTxd+rGfI0YB5NA6lySjTuYDB448/bk477TSzb9++wkKbN2821113XbGfYgMBgxQUx6cDN5O87DHZmpfv89dcaaZ376w9CD3JTk+qLTxrlZmafeXQ1AnLzczeJ+fKz8y+ssh2SJt0LDxzlTlq480T92sDGtxT+9DEJgVfmtA65uNbJ45v2WnR2SzTSLeN9jcdyyZN8N8mOvI8aoPxyy45P42k7RvgG0gaivOy8GM9wxQaECzgUYwdV9Avkam9oDc5fGfHAxhX8DB7SyGo6MUiSoz1Y4yPRZjnxsmShzlCR7MPe0z6Q4shTm3L71zAgADeeuut5oYbbihYLl261Dz22GPmuOOOK9K0GwgYaAmOTz72ZoJOEd9WkslWCd9JnWwlvjQZ6PtOAU3wL1p96ezfGq/BfIMm6uyTTvpIsm+CnDjTTXtSPoxMLH689kovv1x86RVQdTbzVqQniQjapjck2t/0TOs0wn/ryOjSEezS8ZNIU7uBbyBJyNXLwI/r2Ywjx9f/HUc92nhMuv6l4wp7PmW+GFdYKuE1sUdwPMyJU0Ljx2X/tceCH1sSw+vYeTQEZYYZ9i2lkwGDmZkZc84558y9isgahL5tcMcdd9hd9RoBAzXCkSvAzSQvcuKLydZ8jOv40qR+aNLZ1xlya7p/9l399N5SNxgxKUGDOr4UKFi8dl1j0ITL1xeY4djPtVXX99HZTG/BOv+lIyHYlZY3/DctT9JG/hv7yy48bKCzA02I4F3lOoautMSPJZMp1G+Y9F8ouuzr9jn9szrZvqfX9Rti+qVNfCd9XNHkPwgqNtGJy9P4cZP/2lrAj+dJEOfY4GITXwRlrId1f93JgAFhf/jhh+eCBtPT03NWIIfdsWOHOffcc5NYBQGDJBhHpkRzM7GVbGr0Jv1mUseXM9nK5Tvpk63PrX7H0GQ+8T3m9q0WYeO6yX+tYN0EQt8Hp03+C77WO/RrSWfTHtXnv+hsztNp8t9QsKuJr82j+9ukt7/EAv5rPSLtus5/6SihYJetSbl94LQLoSC71dvXNX4hk96yGj8u+6+tGfzYktCvfXz1WruvQTuusASa+E7quMKycdfUTsQGxxFUdClW97V+3OS/9kiT7sd19zdOcJHDd9Ln0ayfdXXd2YABAV+/fr255ZbBhzvXrFlj7rrrriS2QMAgCcaRKcHNJB/qupsIJrPTMfc90Urv0ee+449zs7a1pU4RTQ667yaMsafV1ZW1r31Y8uGb2a8KiuFLTKhj9OJN6yt4JjUog85mxQ2id9D+RiMTCdRxhv+KcBZCdVzpfoNgV4Ep6YavP1E+QIpv9JD9JukbSBo/5vQfELQte2jcNodvnMZ+lPa1AzHjCkuBw3cSxxWWT3ld105QGWozfa+VbeJLXEmn74EO0snpn1C5Li9aP27i63KZZD/2jZM58wKxfH2/euz7+Nj1sy7udzpgQB8+vvzyy81DDz1kFixYYC677DJDH0BOsezatcvceOON5tlnnzXLly83W7ZsMccee2wK1VE66EL0La+88ooveSLTtDcTC43T6E3izcR3E4mZbI3hS2UnbbLV97PVXJ16awta+55AlBy3rLON27724ejZjxHHfreB0z6Uz9/nx33ka8/Z105wOptWnsOX2t9J62z6uKL9tV6Tbu3jDP/V8a2bPInhamvQ1D5MYrtguZTXxDv2dQJW3seXuIYmqybhG0gp/NjH17K3a/ixJRG/5vCN19pdiVTjCkuAy3dSxhWWS3nd1E6EguMcvpMYVEzlxxy+ZVtOmh/7xskx49UYvnSfm7SHFsu+1dXtTgcMugo9pt50EfoWBAzmqeBm4vOOdGm+mwgmW9PxpRvnc5e8s6Iw9WRKRXlpxzc47VuU39eBj+kEWVwxnSErQ2tfp1Ny/ZR1tnHb107EcI7hO0mdTR9Xif/E8CX/mrRgl48z/Fff0viCMAh26bn6NPjudVSO8wQqp32gNmFSv4Gk9WMO37JNfe1v3/pm5fPVbsfy1R6v7fKpxhX2PGP4TsK4wnIpr+vaX854TsuX6tHH9iGVH8fwtTadJD/WzqNJ+BJn3/g4pt9tbYX1aAggYDAazuKj0IXoWxAwMCbVzcTyjWn0JuFm4usAaRrzGL5kE9/NRDJZZu3bxrV7o6ZO39JtXxFVNZYvHYT8+Pm1V1a+naCxsajiGYXciUBO572uOlK+L2xcb6Z37yzUaupQKGnRhuvDVDWJD8Xy9bUPkuO2CGWlKmh/Kziy7cB/86B12146iub+zW0ffJOtfWoX6qzlm9SOuddw+Pr6vVSfPk5WWc6p/JjD1x6T1pPqx2UGMduxfGN0d62se0/TjCvsucfw7fu4wjIpr33tb0xwPIYvHdfXPvStHU7px7F8ifEk+DGdIx5aJGtjCRFAwCBEaMz51Mj5FgQMzNxPr/dvv6fAo+kU4WZSYCw23IFSzOCzUPKTDSnfPk+2+m7UMR3MMmMJXyvvdjzpOurDawbc86LzlU5Yafj6Jn6l9bA2a8va58OSdkLCl47tvp6oTwMmtL/5vRz+m4exr83TTNrHtg++YGJf2lyfxdy2gsrE8I7hS9fMpLxOIJUfx/At23fS/Lh87jHbUr4xx+hKWd89TTqusOcs4ev2v/syrrBMymtf+xtzv5HwpeO7jCktpt2n8m1dUvqxlC+xcRn3zY9TBGU0fMnOfX5osa3Xl6ReCBhIqI1Qhi5E3zLpAYOUNxPLV9Lo9fVm4p4XMYrpAFmm5bWEr2/Apq1HuU7j3E5xoy7XX8LXyrsd3j50Ol2+2nPS8E1dF2u3ca/d86LONH4ho7cK2l89Q44G+C+HUnwZ934iCSK6R41pf6l/2OeHDcpsXB+mPMm9LoYvHcM3mS05Lulq65LSj2P5EpNJ8mOtD0j4ao/ZRnm3PdD0ycrnJ+HrXj99ax+Ij2+MKjlPCV86vq8d7sMYObUfS/kS4776ccp5NA1fd7zTt6AM+VAfFgQMWm5Fugh9y6QHDHAz8XlFujSXr6QDVK6N5maSui7leo1z2/0Jq+YpIA1fYuC7YUsnfsfJtHzsH531c+Vds/SzXzYLlp1YSePuaPm6HbNUgzhu/XOUc8+JjiH1YQ1fn+92/Rcyqds8Dd/UdcnhixKd8F8JtbCMez2ShHYCQ+K/vokcbT3CZz/aEj4flgRnJHzp2H3+hVdKP5bwtZ40CX5sz1W61vCVHrOtcinHFfYcpXzda6gP/V7LxK7dyeRRtb/2+NQO9zE4ntKPpf5rGffVj92+vfT61PIlzu51pJ1zsrbDOh0BBAxqWB46dMh87WtfM1NTU+bII480p556ak3JvMl0IfqWSQ8YpLyZWL7SRq+PN5OUk61avu6gWHpTs/Vow9o9J6rTa3Z9R1U1qf/SQX316fLkim+QPU6+xNjtEHWZL51Pqs4m6aJF478u2653NtH+zvtEzv/w3zx0Xa6prkVJ+5CrLnnIxWt1z0/TN5LwpX5DX18n4LLV+rGEr/WI1HWxevu01vDtCwdfP17b77VsJHx99el6v9fyoLU79qc06flJ+NLxaPGNd6T1mNc43v8+v9H6sYavrz5d5mutm3IeTcOX6uNeS5q+jD0/rNMSQJnxfs8AAEAASURBVMCghudtt91mrr/++iL3wQcfNKtWrSr2R7VBF6FvmeSAga/xxs3E5yWyNF/nY5x86SzcCcGu36zdn5GOczBqvcRlrK2T1TuOtTvAXnz1OrN47TpxVbSdITqw2yHqMl86H3Q2iUL6Be1veqY+jfBfHxV9GoJdeoYcDb5+MH7hxSHHK5PSj7X9B9fWmEyp2lDLt6qtu3upxxWWhIZvn8YVloddu+MMaZ9ewzd1Xay+ca5T+3EKvn3zY/eeQvaWzvOk4OurT9fnecZ5DeU4NgIGNVQ3bNhgNm3aVOTee++95qKLLir2R7VBF6JvmeSAQeqbieWrafT6dDNxO0HaydYUfPs22eoylg70LVtaa/yX5PvEGHzJovkWX+dO2tm0tdT4r68+Xe1sur6L9td6SLq1z1/gv3q+OYJdtlbS9sHtm3W1XbAc7NptJ7STyFK+VB+XsXTizJ7buNc5/FjD18e4L36cytZavqnqMU49bpuQYlxhz0fKt0/jCsvCrhFUtCTSrnP4sdR/7Zn1zY9Tz6Np+RLnvvUjrO/0ZY2AQY0lETCoAdOCZNxM8hoBfPPyJe3ujVE7+Etxs3YHyZJ3ceYnxzuC+/Sw5vsFdETwrXJHZ7PKI+Ue2t+UNP264L9+LtpU13cR7NISrZd373GayUHt/c2dTNEGL+rPejQ5qf1Yy5fO2mXc9aBMSkum4JuyPuPSlXpcYc9Dw7dP4wrLg9bueVGa9KEDDV86rl1y2d/qH9U69Xmk4Ovau8vjY7Kje48bZ//B+hXucZZEO9cIGNTYBQGDGjAtSE59M7GnpLmp9Olm4g5EtZOt4GsJDNY5GGv8l2rmPnXb5UE/+A58LcdWys6mrZ/Wf/vS2czhu8RYw7dP9zdiAf8lCumXHFxtLaX+25d2wXKgtXuvpjTpZBXJ0iLlS7K++mgfgiC941py+LGGL3Hoox+ntK+Wb8q6jEtXrr4DnY+Ur9s2dHlcUbar20Zog+NSvuU69aWNyOHHWr598+PU82havuTHfRtnlK/NPmwjYFBjRQQMasC0IBk3k7xGAN+8fEm7+1PWcQ727dn2qUPURr457G5tN+o1Opv5iKP9zcfWaob/WhJp1zl8l2qoGYz2cRCKX8ik9VtXW2o/1vivrVsf/diem3adgq+2Dm2QT93vteek4duncYXlQWs3YIAntMt0dNup/Vjjv/ZM+ubHKe9xKfgS574xtr7TlzUCBjWWRMCgBkwLklPfTOwpaRq9PjV0beRLNspVL2v/Ua5znIvGf+2556iX1T3KdcrOkK03+FoSwx88TvErJC3fvrTBua5BLd9c9Rp41ei22tg+9MF/c3C1XiH13z5wtQzsOuVkldUp5Wvl+/J0K51PDj/W8u2jH1vfSbHW8k1Rh3HryHmP1vDNWa9xMU/dRmj4WgZ9CSrm8JcUfHPUy9pu1OvU55KCL+5xo/aCuON1KmCwdu1as3Xr1rgzFJY+cOCAOXjwYCHdto8eU8Xow8f2Ip2k9Q9XnlzYhTbo6ew2nH9b6xXrJ89efL459MzegjFNBk6dsHzs/tYXvmSPR09/vVl++MKC8Vv3PGGe2H9wrH48s/dJ89wl7yzqRD8dfvX2fxm73WP9l8pvO+VE87ajjyjO5ZJvP20eeP6lsfI9sOtB8+O1VxZ1ondgvmrLnZ3k63Y2X/v1x8d+Hn3xX7S/+fs18N+fynK9tpEr3Q/aWi9pvxX3tzz+a+3RVn9pa70sN6zz+mWIL8YVo+Pfxn7aSYsOMw+fdlIxxnjywLR5y//53ljHPZLxG/w4vx/nmE8pHE+x4d7jtG9fUFQFog6BTgUMzj77bLNr1y7nFEaz27aAgaQRDnU2upKPm0nemwkGo3n50nX2v1e/x0zv3lk0XvS+38PPOjfLJA73uj7vmCPNZ9+4rKjTV3/8sln92FOd62yCb37/zdHZ5PppU7m21ivmfo32F/5rG+G2PAzB9d82TqJQe9GHdqHc7rWRc18mq4hzG/n20Y+57QrK8YLoGFfwOKXwJ3disw0PzdB5tbVe5ftXiD/8OL8f55pHs31XyRq/MJBQG51MpwIGZ5xxhnn00UdHR6d0pDYGDErVm6jN1O8fJnj2ZiYF2ZefAtL5g6/UC/hyqV8poPVfqnnq9yLzaaQv6fJddPGlZsnGW8QHSsHXrZP2I2nik0kg2MafY/els4n2N4GDBlTAfwOAhNk5fJeqoml/+9Q3s2ZxJ4W0T+Fp+No69aX9pfNJ7ccp+PbRj63vaNcp+Grr0AZ5t4+pea9++Xw0fPs0rigzSdmH0PAt14m2U98bXP2j2E/txyn49s2PU97jUvAlv8I9bhRXl/wYnQoYnH/++eb++++Xn61CEgEDBbzEoqlvJrZ6mkavTzcTl692sjUFX7dOXZ5sJR453ver8V+qU58Yu3zp9UpLt32FTlO8aPm6A4xUgznxCSkEU3Y2bTW0fPvS2XSvQ7S/1kPSreG/6ViWNeXgavVL24e+tAuWA61zTApJ+eauV1n/qLZz+LGWbx/9OKU9tXxT1mVcutx+b6q+A52PlK/bn+n62M3aNnUbIeVr60PrvrQROfxYy7dvfuyej3Y8quVL/tuneTQ6n74tnQoYfPKTnzRXXXVVxQYrVqww5513XiUtxc4jjzxi9uzZU6hCwKBAMfYN3EzymsDli8nW9LxTP42X4mbtTkKk+JBtenI8jS5fkqLXPh22chVPgVNKy9dXH+1ToU4VR7qLzmY+3Gh/87G1muG/lkTatcs11YSVpv1169SHCSs3+Ky9V2v4Wg9y73Ep+o1W96jXrs9o/TgFX7dOffDjVHZNwTdVXcapJ9c1qOHbp3FF2bYpAwYavuU69SVgkNqPU/Dtmx+74wzNPS4FX/Jj3OPKV3P7tjsVMCB8F154obnvvvsKkqeffrrZvXu3mZqaKtJSbGzYsMFs2rSpUIWAQYFi7Bupbyb2hDSNXp9uJi5f4qOZbNXy9dWny5OtlkfKDifp1Piv23no8mC/jq+mQ6Tl69paWxd7juNau/6S4nw0/ksc+tLZ9LV3aH/Tejr8Ny1Pq83lmvI+Im0f3Ml17ZN09lzHuXbvJ+NsHyyHvkxW0fnk8GOp/1q+ffRje24p1lq+KerQBh052gY6LwnfHNdRGxhTHdz+prYPLOHrsnDr1OWgYmo/1vDtox+74wxtX03D1/pxn+bR7Dn1ad25gMHjjz9uTjvtNLNv377CDps3bzbXXXddsZ9iAwGDFBTz6cDNJB9b0uzyHWdnKHVd8pLja0/ZCdHerF3GXe5oWgu4fCldOrGi4etOpGjqYc9t3Gt0NvNawL0e0f6m5Q3/TcvTanO5Urq0zbU6aS1tf3316cPDBu7EkDYIIuVbtlGfXifg8xuNH2v5+urTBz8u+49mW8tXc+y2ybr9Xu1EIJ2flK/bj+nDuMLaOyVnKV9bF7vuU1CxTXz76sfueUnvcSn8N6W97fWAdVoCnQsY0Onfeuut5oYbbihILF261Dz22GPmuOOOK9K0GwgYaAnmlc/RuEgbPbfR7UOnyOVL1pTeTKwnSPj2cbLV8vANAjUDfwlfqksOW9tzHPfavTYXnrnKHHP7VlG1pHxT1kFU8UxC7nmNo32wp+b6cIpBstU9jrV7PlSHcfDtc/sL/83j2S5XbbDL1lLS/uaqi63TuNZu+5CCsYRv+fzdIEbX+8GpfUfDN3Vdynbry7aGb18Y0HmkHldYNrF83TaK9Gj7MLYubVj7OGvOL5avy8BXny4HFX3ng/Gxa3XdvnuNasZNWv9173Fd7z/oLNNO6U4GDGZmZsw555wz9yoii5W+bXDHHXfYXfUaAQM1wqwKcDPJindOuduAY7I1PXN3kC29YWtu1u5TKSkmH9KTkmn0TXhKOiJSvu41RGehGVTIKOSRQmczD1er1fUdtL+WTJo1/DcNR1eLy5XytW2epP31tf3aerjnOq59t/8r7TfY+kv4Wlm77tvrBFL6sYZvn/3Y+o52reGrPXYb5VONK+y5Sfj2eVxhubh9NOnYScLX1sGuU9XF6mvDOpUfa/j22Y/dfgTZXBKU0fClY6a815I+LHkIdDJgQCgefvjhuaDB9PT0HBly2B07dphzzz03CSkEDJJgzKok1c3EVlLS6PX5ZuIbqEgmW6V83Q4Q6enLgN8y8d2wpRODEv/1MdZ+QNGeW1vWbjtB9ZL4cSxf3/UjHVC0hWW5Hj7flXQ2rc5Yvlaur51Nn/9I/NZyiuXraxv61P7Cf61npF+7viO9p5VrpvXfFHUo12fc2y5j7bUZy7d8/m4brA1glHWPc9tlrPEhKd+UdRgny9zHlvLNXa9x6Pfd2zS+S+cQw9f1WZLv27iCzslt9yhN2g7H8KXjlBdfX1Faj7LecW+n9GMJ30nwY3d8LL13S/ha/+rzPJo9xz6sOxswIPjr1683t9xyS2GHNWvWmLvuuqvY12wgYKChNxpZ3Ezyc3ZvJnREyaRV7M3E1wHq02Rr2XLuu38ljGP50jFS2bZ8Lm3cpnbi+bVXmkPP7C2qR52iRRevMYvXrivSmjZi+fr8V9oRa6rXuPNcH5KeYyzf8nn3ubPp8qXzRvtbtr5u2+UL/9XxtNK+9k/it1ZfbPvgG+j3YQLF8qC1O1kl9V3SFcuXZMqLy1tj67LecW+n8mMpX5cr8eibH6ewsZRvimO3VUeKcYU9txi+7j2VdPSlPbA8ymv3GpUEZmL4lo9tt1PUwepq2zqFH0v4Toofp5hHk/C1fub6LqX3Mbhoz7fL604HDOjDx5dffrl56KGHzIIFC8xll11m6APIKZZdu3aZG2+80Tz77LNm+fLlZsuWLebYY49NoTpKB12IvuWVV17xJU9cWoqbiYUW0+hN0s1EO9kay9c3SNMMhu3x27qmG/a+2zeb/dvvqVQxtpOt9V9JR7dS4Rbv+DpFVN2YIBSXr68DRMfq40Dfx1XqR1y+xNIuPtZ96mwSX7S/1trp1/Df9EytxtR9JG774Os/xLTztv5tX/t8F7/wSm+1VH7M9V97BpPix/Z8tetYvtrjtV2e2ocU4wp7nhy+vmtF2h+0x2372nedxo7d6Bw5fH0sfH3gPo01UvlxDN9J8+MU82gxfK0f+zhLrh2rD+u8BDodMMiLph3a6SL0LQgYzFPBzcTnHWnTfANTOkLMIJx7M/F1fuhYfeoA0fm4CzF2JwapDLezzeVLOn2M+xyQoXOmxdexp3Q69yUbbzGHrVxFu96Fw5f0Uweo/EsGq6zP/ovOprVynjXa3zxcrVb4ryWRdu27p1FbG/PLLlsjTvtLZX1tfJ/vbe6AW3quXL7WHuV1n3/hReeZwo9j+U6aH5f9SbIdy1dyjC7K+HyXzoM7rrDnzOE7qeMKYuS2w5QWM/HJ4Us63cXXTsSMy119bd3X+nEM30n0Y+KrCS7G8LU+5rtmYtslqwvr0RBAwGA0nMVHoQvRtyBgMKCivZlYTZxGbxJvJsTH1zGhdM5kK5WjpYkv6Z/EydZ5MvP/yY+fu+Sd5aS5bWK8+Jp1ZtHqNUN55YQmvlSOXmFAnYJJm9AuM6rzYypDnRV6RVFd4KCOL+mkScfp3TvLhyq2+xwsoJPUdjYtqDq+Nr+8nrTOZp3fov0te4VsG/4r48aRqrunSSY1Qu2Dr29Gdexz++vjKx10h/j67O1j3qdfeNlz9nGmvBg/5vL1MaVj9dmP6fy0C5ev9jhdk6/zXe64wp5vHV+MKxBUtD6Sc6314zr/tXWedD8mvnho0XoD1j4CCBj4qLQojRo534KAQZUKbiZVHjn26iat6FiYbE1DvO6mTdqbJgebOkNNHaEmnWnOqH1amhhbzhQ0OPwnAZqp2YDN1AnLDbW5JDsz+y0EWk/PBgrc10iVz5auiaM23mwWLDuxnNzL7Tqm3MmrJv91gfkmVMiPl277ilu0V/tof/OZE/6bj22d38bce5raB9I/yQ8b4Bcy+Xy3rFnjx03+a48x6X5sOUjWHL4SvX2Rqbu/0flx2mEfX4wrqt5BjH0PfHGCij6+Ve3VPV8fmEr0Pago9eMmvvDjgW/V+TC1EU0PLTbxHWjHQ4tlFl3cRsCg5VajC9G3IGAwTEV6M7GafI0ebiaWzvy6iTGVoBuLO9lqJ0xPWnSY+c6OBzDZWkU6tEeMfT8PtAUt44Wzk9rElia0aU3+O7P3yagJ7WNu32rVTtQ6xFgLgzNI0B6jbfLE1DdgCnU27Xn42l+bR+umtrjvAyXLAe2vJZF+Df9Nz9RqrJtspfzQwwZWh9s+kM5J/mWX5VJ3L4t5JQbpcvla/b71pP3CyzLQ+HEdX/ixpatb1/HVae2PdF07Yc+wblxB+SR7/pveaO7b+tesB2UmdVxR1z4QW7z21Hqabi31Y2ofMD4Osye+vl8akGSTHze1v01jtyad4dqixCgJIGAwStqCY9FF6FsQMPBRqX89hi1d1ynCzcQSCq9DN+ywhuYSkzjZ6hIhxvu33WP2bUnzEXdXPxjPEyHOL2xcX/s6IZdbaH+SflXgY4HOpo9K2jS0v2l5lrXBf8s00m43saUj2b5Z+ZddeNiAZ4M6tviFF49fTKk61laHz4/xC0VLJ8+6abIqzxG7qZV8F+OKvLarCxrQUeuC4yH/RVCxajP4cZVH6j3iG/PQ4s/9X+eZJ/YfnKsGycb8Cn9Sg4upbTYKfQgYjIKy4hgIGMTDw80knplEgjhjslVCji8TunHzNc2XpEAB/bTQTsTEyve1vPVlOr+6bxHUnbudIADXeUIhn7W88AuZOo/ipVufjfXXOu2THuyyXOC/lkT6dYit9oiTHAgntviFl9aDePLwYx6nUZYKTbqOsi5tP1Zq/8W4ompx4ts0NrZ94HJwHEHFKkPOHvyYQ0lWhtgiuChj11cpBAxablkEDOQGws1Ezi5G0naOSCZ28sp2nDDZ2kycGNNTJnQDB+NmVtpcy5q+UTDz9Oz3Cp55qvhQNPnrguNnXwO1bH698KxVtR9J1tajy/LEEJ3N0VgQ7W96zvDf9EzLGq3Pxt7LyjrK2wh2zdMgrnidQNkz8m7Dj/Py5WpHsIBLqlqO/BfjiiqTVHvEtukpbe1xJjk47rKDH7tE0u2n9mMEF9PZZtSaEDAYNfHI4yFgEAnMUxw3Ew+UTEmWtW+y9ckD02bFuW/DZKuSfRNjd0J70epL8WsCJW8rjkGpJcFfo7PJZ5WiZFPbgPY3njD8N55ZjATxpScxaYkNHuBhAz/pkM9abviFl5+fJBV+LKGWVgb9Mx1P8mEKHvjGbtRm3P/tx80v/uZ75h6YwbiCz9q2DbH3t7ojIDheR2Y+PeTH5Qe+4MfNLMu5liseWixTmaxtBAxabm8EDNIayDZ6dZ0i3EzS8rba0Jm3JPKswTcPV6sVfC0J2dq2u+hsyvhppeC/OoLwXx0/jrRl7OubIdjFITgoQyzxC68Bj1FuNfmx+0AHfqGYxjK4v6XhWKcFfOvI8NOpXUBwnM8rZUn4b0qa898KLQcX/78Hv2qWH75w7iDuPQ5BmbTsx6kNAYNx0mccmxo634KPHvuo6NJwU9HxC0mDb4iQLh98dfxC0uAbIsTLj5lQQWeTx5RTCv7LoRQuA/8NM8pRAv4bT5V8NeVrMfA6gXgbWAn4ryWRZw2+ebhareBrSejXMX0IBBX1vEkD/DcNxzot4FtHpj/pCBi03JZ0EfoWBAx8VORpaOzk7DiS4MuhJC8DvnJ2HEnw5VCSlwFfOTuOJPhyKMnLgK+cHUcSfDmU6svYCSr8wqueUc4c+G9OupgMzEsXfME3N4G8+tH+gm9eApOhHQGDltuZGjrfgoCBj4ouDTcVHb+QNPiGCOnywVfHLyQNviFCunzw1fELSYNviJAuH3x1/ELS4BsixMu3wQPfq5/wOgEeQ0kp+K+EGl8GfPmsJCXBV0KNLwO+fFaSkuArocaXAV8+q66WRMCg5Zaji9C3IGDgoyJPQ2MnZ8eRBF8OJXkZ8JWz40iCL4eSvAz4ytlxJMGXQ0leBnzl7DiS4MuhJC8DvnJ2HEnw5VCSlwFfOTuOJPhyKMnLgK+cHUcSfDmU5GXAV86uS5IIGLTcWnQh+hYEDHxUdGlo9HT8QtLgGyKkywdfHb+QNPiGCOnywVfHLyQNviFCunzw1fELSYNviJAuH3x1/ELS4BsipMsHXx2/kDT4hgjp8sFXxy8kDb4hQrp88NXx64I0AgYttxJdhL4FAQMfFXkaGjs5O44k+HIoycuAr5wdRxJ8OZTkZcBXzo4jCb4cSvIy4Ctnx5EEXw4leRnwlbPjSIIvh5K8DPjK2XEkwZdDSV4GfOXsOJLgy6EkLwO+cnZdkkTAoOXWogvRtyBg4KOiS0Ojp+MXkgbfECFdPvjq+IWkwTdESJcPvjp+IWnwDRHS5YOvjl9IGnxDhHT54KvjF5IG3xAhXT746viFpME3REiXD746fiFp8A0R0uWDr45fF6QRMGi5legi9C0IGPioyNPQ2MnZcSTBl0NJXgZ85ew4kuDLoSQvA75ydhxJ8OVQkpcBXzk7jiT4cijJy4CvnB1HEnw5lORlwFfOjiMJvhxK8jLgK2fHkQRfDiV5GfCVs+uSJAIGLbcWXYi+BQEDHxVdGho9Hb+QNPiGCOnywVfHLyQNviFCunzw1fELSYNviJAuH3x1/ELS4BsipMsHXx2/kDT4hgjp8sFXxy8kDb4hQrp88NXxC0mDb4iQLh98dfy6II2AQcutRBehb0HAwEdFnobGTs6OIwm+HEryMuArZ8eRBF8OJXkZ8JWz40iCL4eSvAz4ytlxJMGXQ0leBnzl7DiS4MuhJC8DvnJ2HEnw5VCSlwFfOTuOJPhyKMnLgK+cXZckETBoubXoQvQtCBj4qOjS0Ojp+IWkwTdESJcPvjp+IWnwDRHS5YOvjl9IGnxDhHT54KvjF5IG3xAhXT746viFpME3REiXD746fiFp8A0R0uWDr45fSBp8Q4R0+eCr49cFaQQMWm4lugh9CwIGPiryNDR2cnYcSfDlUJKXAV85O44k+HIoycuAr5wdRxJ8OZTkZcBXzo4jCb4cSvIy4Ctnx5EEXw4leRnwlbPjSIIvh5K8DPjK2XEkwZdDSV4GfOXsuiSJgEHLrUUXom9BwMBHRZeGRk/HLyQNviFCunzw1fELSYNviJAuH3x1/ELS4BsipMsHXx2/kDT4hgjp8sFXxy8kDb4hQrp88NXxC0mDb4iQLh98dfxC0uAbIqTLB18dvy5II2DQcivRRehbEDDwUZGnobGTs+NIgi+HkrwM+MrZcSTBl0NJXgZ85ew4kuDLoSQvA75ydhxJ8OVQkpcBXzk7jiT4cijJy4CvnB1HEnw5lORlwFfOjiMJvhxK8jLgK2fXJUkEDFpuLboQfQsCBj4qujQ0ejp+IWnwDRHS5YOvjl9IGnxDhHT54KvjF5IG3xAhXT746viFpME3REiXD746fiFp8A0R0uWDr45fSBp8Q4R0+eCr4xeSBt8QIV0++Or4dUEaAYOWW4kuQt+CgIGPijwNjZ2cHUcSfDmU5GXAV86OIwm+HEryMuArZ8eRBF8OJXkZ8JWz40iCL4eSvAz4ytlxJMGXQ0leBnzl7DiS4MuhJC8DvnJ2HEnw5VCSlwFfObsuSSJg0HJr0YXoWxAw8FHRpaHR0/ELSYNviJAuH3x1/ELS4BsipMsHXx2/kDT4hgjp8sFXxy8kDb4hQrp88NXxC0mDb4iQLh98dfxC0uAbIqTLB18dv5A0+IYI6fLBV8evC9IIGLTcSnQR+hYEDHxU5Glo7OTsOJLgy6EkLwO+cnYcSfDlUJKXAV85O44k+HIoycuAr5wdRxJ8OZTkZcBXzo4jCb4cSvIy4Ctnx5EEXw4leRnwlbPjSIIvh5K8DPjK2XVJEgGDlluLLkTfgoCBj4ouDY2ejl9IGnxDhHT54KvjF5IG3xAhXT746viFpME3REiXD746fiFp8A0R0uWDr45fSBp8Q4R0+eCr4xeSBt8QIV0++Or4haTBN0RIlw++On5dkEbAoOVWoovQtyBg4KMiT0NjJ2fHkQRfDiV5GfCVs+NIgi+HkrwM+MrZcSTBl0NJXgZ85ew4kuDLoSQvA75ydhxJ8OVQkpcBXzk7jiT4cijJy4CvnB1HEnw5lORlwFfOrkuSCBi03Fp0IfoWBAx8VHRpaPR0/ELS4BsipMsHXx2/kDT4hgjp8sFXxy8kDb4hQrp88NXxC0mDb4iQLh98dfxC0uAbIqTLB18dv5A0+IYI6fLBV8cvJA2+IUK6fPDV8euCNAIGLbcSXYS+BQEDHxV5Gho7OTuOJPhyKMnLgK+cHUcSfDmU5GXAV86OIwm+HEryMuArZ8eRBF8OJXkZ8JWz40iCL4eSvAz4ytlxJMGXQ0leBnzl7DiS4MuhJC8DvnJ2XZJEwKDl1qIL0bcgYOCjoktDo6fjF5IG3xAhXT746viFpME3REiXD746fiFp8A0R0uWDr45fSBp8Q4R0+eCr4xeSBt8QIV0++Or4haTBN0RIlw++On4hafANEdLlg6+OXxekETBouZXoIvQtCBj4qMjT0NjJ2XEkwZdDSV4GfOXsOJLgy6EkLwO+cnYcSfDlUJKXAV85O44k+HIoycuAr5wdRxJ8OZTkZcBXzo4jCb4cSvIy4Ctnx5EEXw4leRnwlbPrkiQCBi23Fl2IvgUBAx8VXRoaPR2/kDT4hgjp8sFXxy8kDb4hQrp88NXxC0mDb4iQLh98dfxC0uAbIqTLB18dv5A0+IYI6fLBV8cvJA2+IUK6fPDV8QtJg2+IkC4ffHX8uiCNgEHLrUQXoW9BwMBHRZ6Gxk7OjiMJvhxK8jLgK2fHkQRfDiV5GfCVs+NIgi+HkrwM+MrZcSTBl0NJXgZ85ew4kuDLoSQvA75ydhxJ8OVQkpcBXzk7jiT4cijJy4CvnF2XJBEwaLm16EL0LQgY+Kjo0tDo6fiFpME3REiXD746fiFp8A0R0uWDr45fSBp8Q4R0+eCr4xeSBt8QIV0++Or4haTBN0RIlw++On4hafANEdLlg6+OX0gafEOEdPngq+PXBWkEDFpuJboIfQsCBj4qcWmHnn7K7N92jzn0zFPmi5+607z9jSfPbu81C44/YU7RguNPNFPL5rcPX73GHLZyVdwBULoggJtJgSLLBvhmwVooBd8CRZYN8M2CtVAKvgWKLBvgmwVroRR8CxRZNsA3C9ZCKfgWKLJsgG8WrIVS8C1QZNkA3yxYC6XgW6DIsgG+WbC2TikCBq0zSbVCdCH6FgQMfFTCaQe/vtNM79pp9m+/ey44EJYYlKBAAgUNEDwYMInZwk0lhlZz2XKwa+bpvXNBLwS7mplpc+G/WoLN8uDbzEebC75ags3y4NvMR5sLvlqCzfLg28xHmwu+WoLGNPV7n3jiCbPi3LfhIS89Zq8G+K8XS7JE8E2G0qsIfL1YkiWCbzKUrVXU24DBSy+9ZH74wx+affv2zf0tWbLE/OhHPzKvec1rzPHHH29ovwsLXYS+BQEDH5X6NOpo7rt982yg4J76QswcGzhYfM06s2DZiUypyS6Gm4ne/gh26RlKNcB/peR4cuDL4yQtBb5ScsNyTZNWVBq/TBxmpk2B/2oJNsuDbzMfbS74ygnafu++LZujldixGh7yikZXEYD/VnCodtB/UOETCcN/RdjYQuDLRtXpgr0IGNCTBV/60pfMl7/8ZfONb3zD0P4PfvCDRsMcddRRc4GDn/mZnzGvf/3rzS/+4i+aX/mVXzHLli1rlBt1Jl2IvgUBAx8Vf9q+j282ks6mX9sg1XZGl2y8ZZCIrVoCuKnUomnMQLCrEc/IMuG/eVGDL/jmJSDXjkkrObtUkmgf9CSbJqvwhLaeb5MG+G8TneE8anMPbLs7yUNepH3RxZfi1+HDmNkp8F82qqGC6D8MIRl5Avw3L3Lwzcu3Ddo7HTC47777zM0332y+8IUvJGN5wQUXmD/8wz80v/RLv5RMp0YRXYS+BQEDH5XhtOevudJM7945nPGTFOpE0hOBv/z/fND8y7e+PfeLARpU0TIz+z0DO8Bq0rHwzFXmqI0349cGP2HqW+Fm4qMSTkOwK8xoFCXgv3kpgy/45iUg045JKxm31FJoH+RE7WQVXsMpZ6iVhP/GEXxx4w3JAgXlI+MhrzIN/jb8l8+qXBL9hzKN8W3Df/OyB9+8fNuivZMBA3rN0NVXX222bt2ajeNFF11k7rzzzrlXGGU7CEMxXYi+BQEDH5VBGt2oqdNJ73V3F5rgX7T60tm/NZWspkaPAgekkz6S7AseUEeUfmmADyNXkFZ2mvhWCmJnjgA32LXwrFVmatb/pk5Ybmb2Pjkni2BXeieC/6ZnWtYIvmUa6bfBN44pJq3ieOUuDf+NI0x9VryGM45ZztLw3zBdGmPRQzK+MZaVtg952X4vvRaWfH3FihXmOzseYD3kReO1Yz6+FQ95WaiMNfyXAalUBP2HEowWbMJ/8xoBfPPybYP2zgUMKFhw/vnnm127dmXnRx2Qf/7nfzZveMMbsh+r7gB0EfoWBAx8VObTqNP547VXDhWgTiJ9d8ANFFDBmMZu/+zPZGkg5gYjEDQYQl4kxPAthCZ0A8Gu9hke/pvXJuALvnkJ8LVLJq0kwVpMWvFtgvaBz4pK4peJcbxyl4b/hgnXjdtIsu4hL6vVx5fzkFfdeNDqxXqegI8v2PgJoP/g5zLOVPhvXvrgm5dvW7R3LmDwe7/3e+ajH/1oLT9y3BNOOMGccsop5md/9mfnPm5MHziempoy09PT5rDDDjMvv/yy+Z//+R/z3e9+1zz++OPmmWeeqdV32mmnmYceesgcccQRtWVyZtD5+BYEDHxU5tOeW/2Oocl86nAec3vzL1JiGr26p7cwCVBvlxi+9Vr6nVM3aGoKdlkiHL4Idlla8WsO33itkLAEwNeSyLMG3zDXuvaXJDFpFeaXswT8l0c39peJkie06VrAazh59rCl4L+WxPC6rt0lP1u8dh3rl9tNfKnf6/t1OKdfPVzbyUxp4juZRIbPus6PqST6D8O8RpkC/81LG3zz8m2D9k4FDL71rW+ZN7/5zUPcKCDw67/+6+aKK64w9A0C2o9ZKHDwj//4j+av//qvzcMPPzwk+oEPfMDceuutQ+mjSKCL0LcgYOCjYoxvsEQ/YQ19mFjS2FHQgDqh7geVqWMQCk74a9/fVAnf/tKoPzMEu+rZjDMH/puXPviCb14CYe11g33OpBXHfzFpFbZBXQkO3zrZSUkn/419Dadl4+PLeUIbr+G0BJvXPr7NEpOT29TucsdRHL54yEvuUxy+cu39kGzy41DQi8MX/Qe5n3D4yrVDEnwnwwc6FTD40Ic+ZP74j/+4Yplf+IVfMJ/61KfMSSedVEmX7Bw6dGju1wt/8Ad/YF544YVCxatf/eq5XyEsWrSoSBvVBl2IvgUBg2EqvncGcoIFVpO00fP9/DvmuPb4fV9L+fadiz0/abDLysfwRbDLUuOvY/jytaKkJQC+lkSeNfjWc20a7GPSqp7bKHPgv/W06/w35gnqJr74ZWI9e25OE1+ujj6W8z0ks+TDN3tfHdt0/ly+5Msv3rS+ogq/DK/g8O5w+XqFe55Y1/7GPDzI4Yugl9yROHzl2iEJvv33gU4FDFauXGl2795dWOUtb3nL3LcMFi5cWKSl2Pj7v/97c/nll1dU3X333ebSSy+tpI1ihy5C34KAQZUK3Uifu+SdlcTUN+uK8tKO7yaODmgJ0OwmbiZVHu4egl0ukXbtw3/z2gN8wTcvgWbt2kmrWP/FpFWzPdzcWL6ufN/3ff6buv/r6+cSV/R1w94F//Uz8j0kc/Tsx4gPW7nKL1CTGsvX1/7iIa8auLPJsXzrNfUzx9f+xgS9Yvn6/BftcL1vxfKt14QcHwHw9VHpX1qnAgave93rzH//938XVvjiF7849wqiIiHhxmWXXWbuuuuuQuOGDRvMH/3RHxX7o9qgC9G3IGBQpeJOuNLNc+m2r1QLBfY0jR4Npp6f/dBy+UPI6IBWgWv4VjX1a08b7LI0JHx9kwDoeFqi1bWEb1UD9poIgG8THX0e+PoZYtLKz6VtqfBfv0V8/ivpe3L4Un8Br+H02yGUyuEb0tGnfN9T2RK/tUxi+fp+GS4JVtjj930dy7fvPOz5+dpfiR/F8vUFDTTXjz2fvq5j+faVQ67zAt9cZNujtzMBg5mZGXP44Ycbem0QLfTx4n379s19zDgHzi1btphrrrmmUP07v/M75hOf+ESxP6oNugh9CwIGAyq+CdeY6D5pStHYuTdwmnjFO17n7ZSC78Di/dpCsKv99oT/5rUR+IJvXgJ+7akmraT+i0krv13cVClfV0/f9t2+A52fZNIolq/PbyXH7Zs96s4nlm+dnj6luxOtMb+IcTlI+NK48YWN68307p2FOk0dCiU93JDw7SGGoVNC/2EISSsT4L95zQK+efm2RXtnAgYvvfRS5WPGJ5xwgnnqqaeycbzvvvvMhRdeWOj/1V/9VbN9+/Zif1QbdCH6FgQMBlTcQZPk1wWkLUWj53aCMYga2CkF34G2fmylCHZZEhq+CHZZivVrDd96rcixBMDXksizBt9hru79WjNhJOGLSathm9SlSPjW6epDuq/vMCr/pWPvu32z2b/9ngIlfplYoPBuwH8HWNz+JuVInsoeaJSN33wTvtp6lOvUp23477A10X8YZtLWFPhvXsuAb16+bdDemYABwTr66KOLjxHTB4jpFwbkpDmWj33sY+baa68tVP/ar/2a+cxnPlPsj2qj7vwQMBhYwH1/YOyvC0hTqsbO7QhLgxeDs+vHViq+/aAxOAsEuwYs2rwF/81rHfAF37wEhrW792oqIZ0s0vgvJq2GbeOmaPi6uvqyn6rvQDwkfClogNdw8rxJwpenuZulXN/VPlil4Zu6Lt20SHOtNXybNXc3F/2H7tgO/pvXVuCbl29btHcqYHDKKaeYb3/72wW7z33uc+Zd73pXsZ9y48orrzR33nlnofJ973ufoSDCqBe6EH0LAgbzVHxPWb1m13d8yIJpKRo9X32kkxDBCnesQAq+HTvlYHVTBLvsQbR83Q4wgl2W7Pxay7eqDXsuAfB1iaTdB98qz9QTRRq+qetSPdN+7Gn49oPA4Cx8/UzJgzIDjbKgga/PgNdwlqkOtuG/AxY/OuvnBjuzW0s/+2WzYNmJlbTYHSlf91pCv9dPXsrXr637qanv2Rq+qevSfesMn4GG77A2pLgEwNcl0r/9TgUMLr30UvMP//APhRXe8pa3mM9//vPmuOOOK9JSbHzve98zb33rW81zzz1XqKMPHtOHj0e90EXoWxAwmKfivktV+qRKysbO/ZmitE4+u3c1LSXfrjJw6+0OVCgfwS6XUjv24b957QC+4JuXwLD2lJNWWv917wWYtKraS8u3qq37e+4EkdZfNHzR3w37k4ZvWHu3Svh+USXt99oz1/J1fRgPeVmy82st36q2fuyh/9AdO8J/89oKfPPybYv2TgUM7rnnHrNmzZoKu2XLlpm//du/NW9/+9sr6dKdRx55xFxxxRXmscceq6jYuXOnOeeccyppo9ihC9G3IGAwT8UdOGmeskrV6LlPXSFgMG+rVHx910MX01IFu+y5p+DrDpzgu5au7AnMgTS2QgRS+G/oGJOcD74D62PSasCiK1vw34GlUv4y0WqV8nX7u9rgha1P39ZSvn3j4I7ZFl+9zixeu059mhq+rg+j3ztsDg3fYW3dTkH/oXv2g//mtRn45uXbBu2dChgcOHDArFixwjz99NMVdlNTU2bt2rVzryc6//zzzate9apKfmjn5ZdfNl/96lfNX/3VX5m/+7u/MwcPHqyInHzyyeY735G95qaiSLBDF6FvQcBgnoo7wSl9MiRlY+d2JjQfovPZvotpKfl28fx9dXYHTgh2+Si1Iw3+m9cO4Au+eQlUtbttr3bSKoX/YtKqaqPyXgq+ZX1d3nZ/jULnMs4ntH31kfbDu2yXprrDfwd03LZX0++1WrV80fZakv61lq9fa3dTXR9G/6HdtoT/5rUP+Obl2xbtnQoYELQvfvGL5pd/+ZfNoUOHvAwXLFhgzjzzTEOvKzrmmGOKP/pgMk2y79+/37z00kvm+9///lzg4T/+4z/Mnj17hoIEZeX0y4Z3v/vd5aSRbdOF6FsQMJin4j5ppXkXZqpGzx1A4YmreVul4uu7HrqYlirYZc89BV8EuyzN4XUKvsNakWIJgK8lkWcNvgOu7oAfk1YDNm3dgv/OWyb1LxOtvTV83b4MntC2VAdrDd+Blu5vpRyzlWlo+KLfWybp39bw9Wvsbir6D92zHfw3r83ANy/fNmjvXMCAoP3Zn/2Zuf766+cCALkhXnvtteajH/1o7sPU6qeL0LcgYDBPxX2PoPRJq5SNHQIGwx6bku+w9m6mpBw4peIL3/X7Uiq+fu1IBd+8PgC+Vb4p217SnIIvJq2qNirvpeBb1tflbUxWdc968N+BzVK3vaRZyxf93oF9fFtavj6dXU5L7cMp+KL/UO9RKfjWa0cO+E6GD3QyYECm+ad/+ifz3ve+t/Jh4pQmo18qbNq0yXzwgx+c64yk1B2jiy5E34KAwTyVVAED0pay0UtZL5/9u5iWkm8Xz9+tc2ofScEXAyfXSoP9FHwH2rDlEgBfl0jaffAd8Ew94CfNWr5oewf28W1p+fp0djHNfZo/1et/NHwxWRX2JA3fsPbulEjd77VnruWbq162fl1fa/l2/fzL9Uf/oUyjG9vw37x2At+8fNugvbMBA4L37LPPms2bN8/9/ehHP0rCkwIF9GHl9evXm5UrVybRqVFCF2HdQkEDe5FO6vrR019vlh++sED01j1PmCf2Hxwrl5m9T5rnLnlnUSd6JdGrt//L3C9iJtVOOO+fGrL/D1eeXPgIbdCvY9rAqa31QnuH9r4N1wf8sPt+6E4Ovfbrjw+1z+Owc1vrhetu+P49Dv8gOzx78fnm0DN7i74DvYZz6oTlY/XfkxYdZh4+7aSiTk8emDZv+T/fa0V/Zlx2wnH994k2+i9dV+j3+u0FPx7m0tb7dFvrhf5De/oPOa/nogOAjV4S6HTAwFqEvktw//33m89//vPmX//1X80zzzwz942CF154wRapXR9xxBHmpJNOMmeffba54IIL5r6PsHz58tryo86ghta35Lzou9S4/+/V7zHTu3cWiOhpq8PPOnesg6fzjjnSfPaNy4o6ffXHL5vVjz2FwdOsL8NvB51PBLvgD7geBtdDl+47sFu37YZJq27bb5KvvzZOCuEhGVxP3Pv3tlNONG87+ohifHTJt582Dzz/0ljHRwd2PWh+vPbKok4Lz1xlXrXlToxX8FCi1y/Rf0B7x23vJq1c0Yhio3cEehEwqLMKfdz4v/7rv+aCBz/4wQ/mii1evNjQ35FHHmmWLVtmjjvuuLkbQp2OcadTY+NbaMCExZhU73O1jXoKprk+SpeibuPSkZLvuM4h9XFTvlogFV+8WsBv5VR8/dqRCr55fQB8q3xTtr2kOQVftL1VG5X3UvAt6+vythswkH63q8wgBd8c9SrXscvbKfh2+fzLdU/d9pJuLV+0vWULDW9r+Q5r7HZKah9OwRc+XO9TKfjWa0cO+E6GD/Q6YNAHE9KF6FsQMJinsn/b3ebFm9YXiBZdfKlZsvGWYj9mI1Wj5wYxFl+9zixeuy6mKr0sm4pvX+C4frLkwzebRavXiE8vBV8Eu+rxp+Bbrx054JvXB8B3wDf1gJ80a/liwD+wj29Ly9ens4tpOd6fTRw0fPH9jbAnafiGtXenhNvv1YzZymet4evWCWO2Mtn5bQ3fYW3dTkH/oXv2g//mtRn45uXbBu0IGLTBCg11oIvQtyBgME8l1UAlZWPnPmlF75hdsOxEnxknJi0l375AQ7CrO5aE/+a1FfiCb14CVe3uBJF20iqF/7p1wqTVwGYp+A60dXsLk1Xdsx/8d2Azt99L33hbuu0rgwKCLS1fNwinfXhHcAqtFtHybfXJCSrn3qvRfxBAHKEI/DcvbPDNy7ct2hEwaIslaupBF6JvQcBgQCXVACpFo5ejMzw4025vpeDbbQLV2qcKdlmtKfgi2GVpDq9T8B3WipT/n71zAbqsqO59Zx6Mw1tFLV4CETUm6jUMMpQgQiVoUjJomJhcJTGJZRgf5WhExUeU0VJSYDTlVESBGLUi3GiURMCUGmM0vgCHl1hRERAEBhS98hrnDsyMd9b30efRZ+3dq9fqfU73Pv9d9X177+5efXr/1tqru/faD08AfD2JbtbgO+TaRT9t5YuLVkP9cFtWvlydNaaFF6tyXdy08MWTiXFLsvCN115PiXDcSy2nb88tX7XadBBavlx7crzmy3QwBQpr+RZ4KOYmYfxgRjj1CmC/3SIH3275llA7AgYNWti5c6f79re/7ZYuXbrwvYPf/M3fbCjZbTKdhNyCgMGQSo7OO5ezC4MXuEtwUU+5+A613o+t0F60E6ccfHOcR/3QyuRR5OA7WStSPAHw9SS6WYPvOFfuIpHW91LNVr5ce3DRaqgzK99hTfVvhf209e5WImLlGwYxMO4dtzMr3/Ha6t8Lx71WG7bwzd2W+rUzeQQWvpO11Z/C9dcYP5SrV9hvt7oB3275llI7AgYNmnj/+9/vTj/99EHu5Zdf7lavtt0BMagsYYNORG5BwGBIheu8NXddWZ1eOJGjFloGEcMj7MeWlW8/KIwfRWgzlsezrXzDiRMm/eO6svIdrw17IQHwDYnk3QffcZ6hv8NFq3E+pe3Bfhc1Eo53LWOGUR1b+OLJxFGS/LaFL19jvanhuJeOxDpX0vANvxuTox31aqW95Rq+7TXWnYvxQ136g/12qy/w7ZZvCbUjYNCghbe//e3u3e9+9yD385//vHve85432J/WBp2E3IKAwTiV8A6n1ElUDmcXvlLAegFi/Ajr3svBt24CfOvDyT+VQrCLZzXLVNhvt/TBF3y7JTBZe86LVhb7xUWrSd2EKRa+YV192A8vVs3iYqvnGJ5HqWNvX0+f17DfSe2GNrzsiNVu7/MvnCwoSNHyzdkGQTOrLaLlW+0BCxoe+j0S0fphC1+MH+LKsvCN144S4DsfNoCAQYOeETBoAFNoMnfhNXUAanF64cCTMOFjx+PGYuE7XlO/9qzBLk/DwhfBLk+xeW3h21wrcjwB8PUkulmD7yTXsN9OHTOM1qjlm7MNo+3p27aWb9840PGEF6tyXKTX8g3tF08m8han5cvXVn8qd6HTYjupfEO7JaLaC771ayN+BKl84zXWXyK0IYwfytUp7Ldb3YBvt3xLqB0BgwYtIGDQAKbg5PDDa9RU6QDU4uzCC74pv1swzqxNs/DN2pACK0Owq0ClBE2C/QZAMu+Cb2agQXXgGwB5eDfXRSst3/CCAzULF60mdaXlO1lTP1K4MYPmyURPQ8s3DFxQfbBfT3W41vId1tDPrVxzp1S+nN/HE+HNNpbKt7mmfuVwdiS95jBKQssX44dRis3bWr7NNSJnlAD4jtLo7zYCBg26RcCgAUzByTSJ2nr+RrftsovHWintwDVOjxvwWu4yGGt4z3Y0fHuGoPFwLMEuX6mGL2e/0vPF/+68rDV854VNjuME3xwUm+sAX55NLh+Yype72ICLVryOKDWVb3NN/cgJ7db6lIGGL55MlNuShq+89jpL0pztvnWnup133jE4ALLjFSetdSvXrR+kSTakfDm/az13JO2rvYyUb+3Hmdr+0A+TvGYOlcqXs2OMH5q1l8q3uSbkcATAl6PSrzQEDBr0iYBBA5jCk7kBKDU5dhFf4+y46D4GnryBaPjyNfUzFcGusvUK++1WP+ALvt0SaK6dGzOkXrRKtV9uso+xQ7OOUvk219SfHLLbe04+fuyAYuPcscIjOxq+3PgXr+EcgTqyqeE7It7rTc6O6YBTLn5K+XI2S7+Fp2KIQvMi5dtcQ39zMH4oX7ew3251BL7d8i2l9qoCBuvWrXMXXqj7KFIq8AcffNA99NBDAzF89HiAoviNpgEoTchXnrberVizlj0GqdOjx7DpSYbRu2J8hRh4ehKTaynfScn5SOEGnnTk0osAKXy5iRMuWLXbWQrf9pqQyxEAX45KvjTwbWbZNGbARatmZtPOgf1OEs/xZKKvNYVvrrtq/W/PwzqF7zzwGD1GLoBK+TQm3WPDOW75qtWjxdntNr5UP9ks5mwsOlFiG19RBT0uhPFD+cqF/XarI/Dtlm8JtVcVMHjmM5/pNm3aNBNuCBjMBLv6R5suvlKF3CBU4uzaAgVcnerG91BQwreHh518SE0DT7IvBLuScWYTgP1mQ8lWBL4slmyJ4BtHabloJeGLi1ZxHTSVkPBtku1zOo0XLK/h9GxS+HLBAulNDf735m2dwnfe2PjjbfK/lE/2Ra8oagocNPGlOimotv3qK/zPjK1xg9cYjsadJr6NAnOY0WS/kmsDEr4YP+iNSsJXXzskwXc+bKCqgMEznvEMd911181EMwgYzAS76UebJlO+UurIaQC6bNffkgMOcoc/61h367bFp0pIdseu92rSevuuQWf4XQRfB60xWRql0byNTqWZzWgO2Vz4Xlef3zb4bOOLYJcnqF+38dXXCklPAHw9iW7W4Bvn2jTpJ0lctIrz67IE7Jen2zReSB2XSvjiyUReB5JUCV9JPX0u02TL/pj9nG23h58SX7prDkdzN1oOWbHc3fjNr4vnbHtuOHsg6+vHupkA7LeZjc/B+MGTKG8N++1WJ+DbLd8Saq8qYHDccce5r33tazPhhoDBTLCbf5QGoNsuvdhtvWCjuS6ugpRXFnDy85KGziRN02S33J2DvhY/cUKwyxPpdg37Bd9uCXRbO+xXzldz0WrpgQe7X/3qVwsXq1JuNMBFK5leYL/tnMhmw+8ZkASNE9qeTPS1xvi23XCAu7Q9xeZ1jG+z5PzlxMa+ViKYs6UThP3KmWH8IGc1rZKw325Jg2+3fEupvaqAwcc+9jH3F3/xF2PsDjvsMHfssceOpeXYufbaa931118/qAoBgwGKKjdyD0Jp0EkTMX93S5VQptxodCppwMlmEexKY9Zladhvl3SdA1/w7ZaAvPbc44Xwl3HRKiQS34d/aGfUdqGq7clEXyvHty1QIKnT1401+rdUGyB7fmDDGY2vE0qtj564QYA2ldqwPOcfhrnYGiWA8cMojTK2Yb/d6gF8u+VbQu1VBQwI2O/+7u+6//zP/xywe/rTn+6uvvpqt3Tp0kFajo23v/3t7t3vfvegKgQMBiiq3qCOnB4bpAuxTe+1bDpAf1c3AgVNhJrT0Zk0s4nl5B58ItgVIz6ZD/udZJIzBXxz0pysC3wnmUhScNFKQqn7MrBfGePYWMGPYf2Tif6VLsR3xx234TWcMszJpWC/ycgGAt4HUwLmbAMsU92A/epwe9tNtdumX0PQq4lMezrst52PNRd8rQTrkK8uYHDTTTe5pz3taW7r1q0Dwhs3bnSvec1rBvs5NhAwyEGx7DqoM6fgAX2jYMfmO9yPLv+GO3i3ZQuNponVkv0PcksPWFyvWHMKniYwqhOdig2gt1cEu2wctdKwXy05mRz4yjhpS4GvlpxbeNUQ3e1KS+rk31+kxY0Gev4kCfuV8aNxAp5MlLGaZinYr522HwP7OdvOO293O3d9a46W2x7c7g47+pjBnG3ZkasbP5Jsb8n81QD71euc7BbjBz2/HJKw3xwUm+sA32Y2fcmpLmBA4N/73ve6N73pTQMd7Lvvvu4HP/iBe+xjHztIs24gYGAlWJc8nF23+gLfvHzDiROCXXn5hrXBfkMieffBNy/PsDbwDYno90PfO3rRKrzRABet9JxHJWG4ejvrAABAAElEQVS/ozRk22Snbd9BktUyLIUnE4csUrdgv6nE0sqDbxqv1NLgm0qsuTzGD81susqB/XZFdrFe8O2Wbym1Vxkw2LFjhzvqqKMWXkXkQdK3Df7xH//R75rXCBiYEVZXAZxetyoDX/DtlkC3tcN+wbdbAt3WDvsF324JdFs77FfH11+gwpOJOn65pGC/uUjy9YAvzyVXKvjmIsnXA748l1yp4JuLJF8P+PJc+pRaZcCAFHDNNdcsBA22b9++oA8y1m9+85vu6KOPzqIfBAyyYKymEji7blUFvuDbLYFua4f9gm+3BLqtHfYLvt0S6LZ22G8evj54wL3SJXw6Bq/hzMOcaoH95mPJ1QS+HJV8aeCbjyVXE/hyVPKlgW8+llxN4MtR6V9atQEDUsUZZ5zhzjnnnIFW1q5d6z796U8P9i0bCBhY6NUpC6fXrd7AF3y7JdBt7bBf8O2WQLe1w37Bt1sC3dYO+wXfbgl0WzvsF3y7JdBt7bBf8O2WQLe1w37Bt1sC/a+96oABffj4j/7oj9yVV17plixZ4l70ohc5+gByjmXTpk3uLW95i/vFL37hDj74YHfBBRe4/fbbL0fVSXWQk+OWX/3qV1wy0pQE0JkowQnFwFcISlkMfJXghGLgKwSlLAa+SnBCMfAVglIWA18lOKEY+ApBKYuBrxKcUAx8haCUxcBXCU4oBr5CUMpi4KsEJxQDXyEoZTHwVYKrTKzqgEFlrFXNpRORWxAw4KjY0uD0bPxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGrQRoBg8K1RCchtyBgwFHRp8HZ6dlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzq0kSAYPCtUUnIrcgYMBRsaXB6dn4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjV4M0AgaFa4lOQm5BwICjok+Ds9Ozk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZ1eTJAIGhWuLTkRuQcCAo2JLg9Oz8YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxq8GaQQMCtcSnYTcgoABR0WfBmenZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV8+uJkkEDArXFp2I3IKAAUfFlganZ+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjF5MG3xghWz742vjFpME3RsiWD742fjFp8I0RsuWDr41fDdIIGBSuJToJuQUBA46KPg3OTs9OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+eXU2SCBgUri06EbkFAQOOii0NTs/GLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bvxqkETAoXEt0EnILAgYcFX0anJ2enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPbuaJBEwKFxbdCJyCwIGHBVbGpyejV9MGnxjhGz54GvjF5MG3xghWz742vjFpME3RsiWD742fjFp8I0RsuWDr41fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn41SCNgULiW6CTkFgQMOCr6NDg7PTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2NUkiYFC4tuhE5BYEDDgqtjQ4PRu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38apBGwKBwLdFJyC0IGHBU9Glwdnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17GqSRMCgcG3RicgtCBhwVGxpcHo2fjFp8I0RsuWDr41fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+NUgjYBB4Vqik5BbEDDgqOjT4Oz07CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tnVJImAQeHaohORWxAw4KjY0uD0bPxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGrQRoBg8K1RCchtyBgwFHRp8HZ6dlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzq0kSAYPCtUUnIrcgYMBRsaXB6dn4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjV4M0AgaFa4lOQm5BwICjok+Ds9Ozk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZ1eTJAIGhWuLTkRuQcCAo2JLg9Oz8YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxq8GaQQMCtcSnYTcgoABR0WfBmenZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV8+uJkkEDArXFp2I3IKAAUfFlganZ+MXkwbfGCFbPvja+I1K79x8u9t26cVu5523ux2b71hY77zzDrdk/wMXii3Z/yC39IDF7d3WrHXLV60eFce2ggDsVwEtQQR8E2ApioKvAlqCCPgmwFIUBV8FtAQR8E2ApSgKvgpoCSLgmwBLURR8FdASRMA3AZaiKPgqoFUmgoBB4Qqjk5BbEDDgqOjT4Oz07EJJXGwNiXS/D/u1M37oqivc9k1XuK0XbEyujAIJFDRA8CAZ3YIA7FfHTSoFvlJSunLgq+MmlQJfKSldOfDVcZNKga+UlK4c+Oq4SaXAV0pKVw58ddykUuArJaUrB746brVJIWBQuMboROQWBAw4KrY0OD09P3+xddtln9l1N/YdSRXhYmsSrsbCsN9GNK0ZZLsPXvoZt+2yi1vLSTNXnHQKAgdSWCPlYL8jMDrYBN8OoI5UCb4jMJSbbTcb3Hrrre6wo4/Bk11KtjEx2G+MkC0ffG38YtLgGyNkywdfGz+SRv9mZ6itAfarJSeTA18Zp5pLIWBQuPboJOQWBAw4KrK0tk6basDrRmQcqRSx3Hr+xiwXW33gYOVp692SAw6SNwIlHTprnRFs2fCmLLYb/rq35T02nBNmzf0+/O/0TQD+oVvm4Kvn6282wJNdeoZWSdivlWC7PPi280nJxfghhVaesrBfPUf0b3p2Gkn4Bw01mwz8g41fLdIIGBSuKToRuQUBA45Kcxo67WY22pyt521Uvb4l9nu42BojxOej0+a5cKnkD8h+t199BZe9kEZPClDwcNmRq93SXa8cWnrgwW7HHbct5O3Y9RSNH5i21UG2vPd5F859AAz+t9HMppYB/2BH7c957tsmuAM+jS/5BDzZlcasy9LwD3a68A92hlwNfvyAJ5g5OtNJg39I44z+LY2XpbT3D7jpwELRJgv/YONXgzQCBoVriU5CbkHAgKMymYZOe5JJjpT7Tju184uty45Y7fbccPbcX2yV6AudtYTSYhnyCfevO5UVIJtbseaUXX9rx/Lb+NJFAqqTPpLMBQ8oaEBPzYR1jv1AT3fgf8tQbJv9ltHCcltBNoxvm+TVD57sysvTWhv8g56g9w+4mK1n2CRJYys8wdxEZ3rp8A9prNG/pfHSlsb8Qksurxz8Q16epdaGgEGpmnm4XXQicgsCBhyV8TR02uM8cuxRB01cue8UNF1s9b/LdSqSi630Whf6oCyWdgIc33aJ+csl++WCBWS7K9etb7UzCd9t9C0EJnAwj0ED+N+yzi+J/ZbV4tm2BpPR/PyJaeqTXfR6QhonHHbYYe7Gb34dT3blV8tCjfAPaWBxMTuNV2ppPMGcSqzb8vAPcb7o3+KMcpXA/CIXyTz1wD/k4VhyLQgYlKydXW2jk5BbEDDgqCymaTptvG6kmafPIa7cxVbJxVBJZ0IXW+luojAYQfUjaOC1wK8lfHnJ+Ultsl8KFux9/oWtIFL4Nl1IIDueh9cTwf+2mtJMMlPsdyYNLOxHMRnNr5Am/0u/1NXNBvP6ZFeq9uAf0ojhYnYar9TSeII5lVi35eEf4nzRv8UZ5SiB+UUOinnrgH/Iy7PU2hAwKFUzD7eLTkRuQcCAo+IWXg3CXdSm0piU8sykqfesec7ExXzJxVZfv6RTmfeLrZ6VZi3hq6m3LzKc/e5x5tniVwWl8qUA2JZ3njGGr+9BA0yaxtRd1E6q/RbV+Ck1RjMZxR3wceU0+QUaP8Se7PK1t9kvnuzylPTrNr76WvsnmXoxW+Mf6LyYx9dxkp/AE8xlnjPwD816Qf/WzCZnThNn+g1c38lJOr0u+Id0ZrVJIGBQuMboJOQWBAwmqTR1JpJJqcTZzfOklJsk0Udh6c5/ySLh6+uhoAG91iX8gBHpMXYnuK9j3tYpfOeNDR0vZ7977foYsfRVV1q+XNAg5bypSVfwv+VqS2u/5R5R/pY12S/9Eiajet5NXFP6c4n94mYDvY4kfPW190OS7BgXs7vTZZOfwBPM3TGX1gz/0EyqyW7RvzUz0+S0cY7ddCCx33m+vqPRx6iMhO9oeWzXSQABg8L1RicityBgME6lrTORXmSWOL15nJRyr2fQXPSU8B3VKvfYt+Z3R+vs83Yq3z6zGD02zjdo7EjLl7PjlGDF6LGUus0xprZi0lSOxrT2W84RdNeSNvuNTUZ9q9r4zvNk1Ppkl4SvL0NrLkjb9ye7Ro9fu91mv9o6+yLX5B8kF7M9gza+ZLPz/jpOzk9g/OCtZ/brNvudfetm1wLOblOeXPYtl/Kdx/6tyf/CP3jrmf1aar+zbylaoCWAgIGW3JTk6CTkFgQMxqlYO+1UZzcvnTYFSO45+fgx2CmdtBdM5UtyXHAGE39PdHyt4TteQ3/3wqcLpmW/nijZ8QMbznDbr77CJyVdSB8IFbwB/1uwcnY1Df6hWT+YjDazseaEvpfq0wRLU+2XG59pgsTW469FPpVvLceVq51c/5YyjpDw5ca71P55GPNyfiLlfJXw9bZAnPEEs6chW6fwldXYj1Kc3aJ/y69bzv+mBGVS7ZcbP8yDH9ZqLpWv9ncgN1sCCBjMln/01+lE5BYEDIZU0GkPWeTeCp8uoE5z30u/qvoZTadCg/v71p069u2ElImEqqGVCmn4Vnqo4mZzAz/NgJ5+0MKXuyipbYf44KdUEP53SqCNP2OxX+NPFy1unYz6g5Py5XxSHyejnM+z9N1Svl4f8/Bklz/WHOtUvjl+s4Y6uP5NY8cSvvN4MTucY5BNdMV31N44/6D53dE6+7wtsd8+H394bOjfQiLd7HP+VzN3SrVfbpwG/9Cs41S+zTUhp1QCCBiUqpmH20UnIbcgYLBIJVenrXV23KBT05lxOp51Gk1ewqcLUqL6o+3X8qU6wo6bLq7QtxOk758fbUdfty18+8qEjiucjGoHfDn45mpLSfqC/y1JG81tyWG/zbXXm4PJaHe6C9mm3JEdtkpjvzR+6fuTXSEn7b6Gr/a3apIL+2xqu2YMkcqXm1dofrd01twcQ+MnUvkSF/pteg3UtssuHmDqY+B2cHCGDQ1fw89VIYr+rXs1YX7RPeMcvwD/kINi+XUgYFC4juhE5BYEDBapoNPmrCNPWjhZsjxdQC2ydCqhnvs4ebJqzcLX+tulyv/fIw8fa9q+l3zFLTngoLE06Y6Vbzg5tp5P0nZ3WS48LzWTfd8+DV9cFPT04msN33it9ZbINRn1BFL5chcF+3KzQRjkJ0bWY0vlS7/J6djaDqq3j4uGbx85+GMK+2tKn1b/Ni8Xs3POMTT2S5zxBLO3+Pa1hm97jfXmon+bju4wv5gO5xy/Av+Qg2LZdSBgULZ+Fi6yck1EwGDyznPipJ0MWpxdXyel4asatE8XkF4sfEk+HKD14WIrHVeuxco3VztKqoc7Lx+16UZVE3PxDQfAWn+lOojMQuE5SdVrj8fCl9Ozth2ZERVTnYVvMQeRuSHhuTiti4H+MPoc7AovBFoD/Bb7zd0Wr78+rS18+8Rh9FhCu7GMOTV8+34xm44PTzCPWly52xr7Lfdo7C0LfQP6NzvTsAbML0Ii5e7DP5Srm5wt613A4O6773bf+9733L333uvuv//+hb/dd9/dPfDAA26fffYZ/D3xiU90j3vc43Ky7KQuOhG5BQGDfK8b8XwtTi/3AMK3aVZrbjCvvdjqj8HCl2sPLgp6sotrC9/xmvqxF56TK/9yvVu5br364HLwDQfB1omG+mAyCIZ8rcdi4Zu7LRnwFFeFhW9xB2NsUHgeUnXW/kTDt6/BrpxPdnlVa/iSbDh2sFz49W3p41rLt48sQpuhY7TcMEPyGr6hnyLb7cvrOMM+23peaviSXmgJg8fWscxirf36b+HbLxLOoX/rXqOhf7Cekxb7zd2W7ulN/xcsfKffWvyihkD1AQMKDHz84x93X/jCF9y1117rNm/eLOZw8MEHuyOPPNIdddRR7iUveYl7/OMfL5adVkE6CbkFAYO8nbbV2YUTDOvgl9P5NNPC1yXMsrP2x41BvScxubba72SN9aeEgzzLhD8X3/ACgPW8mqWWck6arHz75n9z69XKN3d7Zl1f6Bus56GFb+62zJotFwSZ5c0GxCMcO1iDQ7NmnPv3Lfabuy0l1Beek9bxvIVvaLtWX1UCX2oDnmAuRRPxdljsN157XSXQv01HX5hfTIdzjl+Bf8hBsfw6qg0Y/OQnP3Fnnnmm+8QnPuG2bNliJr106VL3whe+0L32ta91z372s8315aqATkRumfeAATptzirypYUTJsvFVt8qa6fSp4utnknOtZVvzraUUFc4IbV8v4COJwff0G9ZXoMyS8bhcVBbcFFwlhqJ/3YO+43/Sh0lck5G/RFr+fYt2BWOHaxPdln5kjzGDp5i81prv8011psTjh1mOf4NbdcavChBK6HPozbNcvzAtQdBxXFLgX9Y5IH+bdwuutjD/KILqt3WCf/QLd8Saq8yYPCd73zHrVmzxv34xz/uhOFJJ53kLrroIrfXXnt1Un9KpXQScsu8Bwxyd9o5nF04sK/5TqDwribr4DkH33AQUevFVu58tqbl4GttQ2ny4aTfEjDIxTecmNY6+Yf/Lc3a29uTy37bf6WO3LAfoVbP8mIV/X7u/pbqnNUS+oZZXmz1DPo0NvPHlHMN/zCkGfbRlDNL/8C1xzoeHx7tbLbwBPNsuGt/Ff5hSA7925BFV1shY+tNBznsF2OIZm3n4NtcO3JKIVBdwGDTpk3uhBNOWPgmQZcQn/a0p7lLL73UHXLIIV3+TLRuOhG5BQGDN7ltl108QINJ6QBFlo2cF1t9g6ydSjhxqvViq+eRe23lm7s9s64vvIt4lpP+URa52zVa97S2wwE9/O+0yOt/B/5hkV1ou9bJqNeIhW+fJqNdjB2IsYVvGCTCzQbeaodrC99hLfVv5b6Y7YlY+IYBxZpvRiIeoQ/G+MFbSblri/2We1TpLUP/ls4sVQL+IZXY7MvDP8xeB123oLqAAb0u6Otf/zrLZb/99lt48uBJT3qSO+ywwxY+cLxixQr3vOc9zz300EMDmfe///0L+zfddJP71re+5a6//vpB3ujGYx/7WPeNb3zDHX744aPJU92mk5Bb5j1gkLvTzuHs+jQpzX1RMwdfBAw4T7CYloNvc+115uT0ETn55j63ZqGdnGyp/Tn49sn/5tZpDr652zSr+jAZ7ZZ8bt9ArbXaL8YO7Tq38m2vva5c+Ifu9RUGQKxPTOSwX4wfmvWeg29z7XXloH/rXl+5GeewX/iHZr3n4NtcO3JKIVBVwOCSSy5xL3jBC8bYkaG++MUvdqeeeqp77nOf65YtWzaWTzsUIDj99NMH6W9605vc2WefPdj/0pe+5P72b/924cPJg8SHN+j3/u3f/i1Mnto+HR+3IGDwHLfzzjsGaCyvG/GVWJ1enyalXVzUtPIlPXXRLq//2tc5+NbOYLT9mJSO0si7nXtAT62z2m+f/G9ebS3WZuXbRZtmUWcXtkvHYeHbp8loV320hS/pp6t2Ud19WKx8+8CAjiH3uMFzsfDtk38gHl34YAtfahPGD0ShebHyba65rpyu+hEr367aNQvtwD/MgrrtN632a/t1SE+DQFUBAwoK0LcFRpcPfvCD7lWvetVo0sT2L3/5S3fooYe6u+++eyHvkY985MI2feh4dPn2t7+9EHS45557RpPdV77yFfec5zxnLG1aO3QSNi0UNPAn6bytw87x0Vfd5ErgUWq7Uu3juqcf6g7ebRh8++3rb3W3bntopva2447b3D0nHz84HeiVRI+87L+L0HsqX5T/tc71du9fvsRtv/qKgb3QXWy7HXl057/b5oeO3Xt3d8mTDhi06Rv3/z+35ge3z/S8amtvk52W6udKbVcTR6R37wdC+/7FScdN3Gyw9MCDZ+oXDlmx3F3ztOHrL297cLv7X9+5pTq/QPZcIl9q189XPWHgd2mDXlGH82/65194Ppa2X6L99sk/kL5L7Kcxv5jf6wkp/UCJ/qFv/VuJ/qFUv1VS/zk2wMJO7whUFTBYvXq1u/LKKwdKeNe73uXe/va3D/bbNl72spe5j370o4MiN99888JriwYJD2989atfXXiF0bZt2wZZq1atchRMIKc87aXpN0tyEimdba52o9PudnCHi63d8s11HqCeZj2de9jj3P9+9PDD9f/88/vdq370k5leJHrgzDeOfXuF3p+++yteO9OLlRr/Df/bbHcanjiPp8cTk9FuLxJf+uSD3DF7PWIwVD75hs3u6/f9cqZ+98FNl7v71506aBN9w2CfCy6qzu/CT3TvJ0r0D327mF1q8K7UduG87/68l47b0L91O34gPWB+UY69S88LX24wyMJG7whUFTB41KMe5X7xi18MlLB582a3//77D/bbNs455xx3xhlnDIp88YtfdCeeeOJgf3Tjk5/85MJrjqiT9sstt9wykw8g00nILaNt4/L7npb7seEczq5Pjw3nfo9rDr5dfYyuD+dKDr594DB6DOGHRC0fyc7FN3zUNsfH/kaPeVrb8L/TIp3nd3LZb57WzLaW8Bws4XWGRCS8UGn9SPusKOf2DXQcVvvt09isC71a+XbRplnV2cV5mINvF+2aFePcPjgHX7ySqNkacvBtrr2uHPRv3esrN+Mc9osxRLPec/Btrh05pRCoJmCwZcsWt+eeew64HXjgge72228f7Mc2PvvZz7oXvvCFg2Lnnnuue+UrXznYDzeOP/54R08b+KUtwODLdLGmE5FbEDA4deJ1I8tXreZQidOsTq9PHUp4sXXFSae4PTacI2bJFbTyDYMYdHf2ynXruZ+ayzQr375BCyeAdHyWj+tZ+XLtwUXBodVZ+fbJ/w6p5Nuy8s3XktnWlHsy6o/GwrdPthv20znGDsTYwjdsE8YO3mqHawvfYS31b+W+mO2JWPiGYwfLzQ++PbNcd+GDLXyJRZ98cBe6tfLtok2zqDPsS9C/5dcC/EN+pl3XCP/QNeHZ119NwGDHjh1ut912czt37lygdtBBB7nbbrtNTPALX/iC+73f+71B+Te+8Y2OnjpoWi644AJ32mmnDbL//u//3r361a8e7E9rg05Cbpn3gEHuTjuHswvbVPOkNPcEJQff8A6rHHeGcudWjWk5+NZ43LE2hwNP7eA+B99cbYkd8zTyQ1+n5erbmoNv2Kaa/a/nkmudg2+utsy6nvA8tAQR/bFY+fbpYlV4s0GOi5tWvuFF4Fqf7PL2lntt5Zu7PbOsD/6he/phX209H3PYL55gbtZ7Dr7NtdeVg/6te32F/gHzi+6ZW34B/sFCrx7ZagIGhPQxj3mM+9nPfjage9ddd7nHPe5xg/22jY0bN7rXvva1gyJvfvOb3d/8zd8M9sONb37zm+6YY44ZJL/mNa9xVMe0FzoRuWXeAwbotDmryJuWe+Jk6VS60HdeWrOvzcJ39q3vpgWh3dCvaC8QWviGFwQt7eiGVFqtIVdcFEzjN4vSFvudRXu7+s3ck1HfTgvfsE01B7vCmw2Ij9bnera01vLl2lPrk12jPHJva/nmbses6wvPRevFbH88Fr59u5gdjh+sFwSJsYUvyYd6r9kH0/HkXqx8c7dnVvVx/Qn6t7zaCP0D5hd5+XZRG/xDF1TLqrOqgMGRRx7prrrqqgHB973vfe71r3/9YL9t40UvepH79Kc/PSjy3ve+173hDW8Y7IcbP/zhD92TnvSkQfLzn/98d9lllw32p7VBJyG3zHvAIHenbXV2XHtqn5Tm7LStfMPgBQbz417Byne8tn7thbZDH7zc+/wLkw7SyjdHG5Ia3HFhzt9ZJk1Wvlx7ave/OVVo5ZuzLbOuK2e/5o/Fyrdvd8CH/s56QdDCN3dbvM77tLbw7RMHOpbQP1htl+q08u3bxeywv7ZeELTyJR3hCWaiwC85+PI115mau0+x8M3dlhI0EvoHahPmFyVohm+DxX75GpFaIoGqAgZve9vb3FlnnTXguGzZMvf5z3/e/c7v/M4gjdu4+OKL3dq1a8eyLrroooUPG48ljuxcc8017ogjjhikrFmzxl1yySWD/Wlt0InILfMeMCAmuTtKi9PL3RZO59NO4zpty91WWr7hBI44WAYP0+Y4rd/T8p1W+2b1O9zd/ZqAk5Zv6BuIQx/sNzwu64UVLV/imbstVGffFgvfPrHg+rUc56OWL9ee2oNdXfTZGr6c78+h6z6dD/5YNHy9bJ/W4flovZjt2Vj49vFidthnW89LC9/QX+XSudd9H9YWvn04/tFjCO2F8mZhv33u30L/gPnFqAWWtw3/UJ5OcreoqoDBtdde61atWjX4jgHB2GOPPRa+LXD66ae7xz72sWN87r//fvfBD35w4dVD991331je5s2b3f777z+WNrpDTxNQkMAvL33pS93HP/5xvzu1NZ2E3IKAweSdQMRJ22lbnF2fO+3wzibtQNrCN7z70jpw4M6n2tMsfGs/dkn7QzsmmZSggZYv5xv6Yr85J01avqRHjrG2H6D6+rhY+PaRByaj3Ws1ZKx5ssu3Umu/Odvg29LHtZZvH1nQMYV2Y+1PLHzDflY7Bi9NVzmPy8KX03fK2LA0rl20x8q3izbNus7QR6B/y6uR0D9Q7Vo/bLFfzC/ierXwjdeOEqUQqCpgQNDo2wNnn332BL9HPOIR7qlPfao77LDD3NKlS93tt9/urr/+enfvvfdOlD3hhBPcl7/85Yn00YS//uu/du95z3sGSe94xzvcO9/5zsH+tDboROQWBAwWqaDT5qwjX1p4txXVrB0YaTqVUL/0+/jYMVGYXDR8J2vpZwrZ8X3rTnU777xjcIA08V5x0lq3ct36QVrbRipfbqDZl8m+5xSen1rfQPWl8u2iDb7OPq61fPvIIudk1PPR8OV8hHZS7NtRypo7NsuFuFS+oW8iLn1h24WOU/l20YZS6gz9Q45+W8s3tGPLOVQKX2oHN7fAE8wlaWi8LVr7Ha+lP3vo37rXZej7ML/onrn2F+AftOTqkasuYPDggw+6o446yl133XUqynvuueeC7K//+q+3yq9evdpdeeWVgzL0WqM/+IM/GOxPa4NOQm5BwGCRSq5OW+vswg6NWtW3SWn4wTU6xtRJi4av9a5waue8LBq+88LGHyc3QaU8yR3/qXw5v0C/1TffAP9LWi1/SbXf8o/I3sLwHMVk1M40rCFXH55qv5xfkvj5sP3zsp/Kt+9cuLECLmbn13roH7SBGYv94gnmuF4tfOO111sitF86ktS5Mcmk8p2X/o07zmnwJZ3QEo4RKa1vczg6JuuSar/W34P8bAhUFzAgTN/97ncXvlvw05/+NJnahz/8Ybdu3bpWubvuumvsdUXLly93d999t9tnn31a5brIpBORWxAwGFJBpz1k0cUWTZ62nr/Rbbvs4rHqUzvulE6F06nlgs5Yw3u6k8K3pwiih8UNQEmIJqp7bDjHLV+1urEOCV+qn2x39EkGX2FfB5rcuZrqG4iRhK9nSWtOl7goOEpofDuV77h0//Y4+9HYrSeTynceJqM0drA+2ZXKl9Or9kKk/+15WKfab9+ZhP2a1YY0fPt+MZsLzGjH+Rq+nA/GE8z8ma3hy9fUn1T0b93rMvTD9IuacVqq/XLjCMwvmvWdyre5JuSUSqDKgAHBpG8S0CuDPvCBD7ht27ZF+R5yyCFuw4YN7s///M+jZelbCb/92789KPfKV77SnXvuuYP9aW7QScgtCBgMqeTotFOdHdeZWCcUwyMqb4tjTK2UDu5T+HKD+D6zzaHtFL45fq/mOrhz1x8P2TO9oigMHMT4Up30JM72q6/wVY2t+xosoIPkfAOdr3jd05gJzHQnZr8zbdwMfxyT0e7hk3+45+TjJ34oZfIttV9u7EA/3Gf/OwFWkSDlq6i6WhHObqXj3fCgNXw5W+7jxWw8wRxaS3n7Gvst7yi6aRHnJ+iX0L/l4Y35RR6OXdYC/9Al3XLqrjZg4BHefPPN7rzzznPf+9733A9+8ANH+9u3b1/4GPKhhx7q6O+5z32ue8UrXuF22203LxZd//CHP3T33HOP23fffd0Tn/jEaPmuCtCJyC0IGIxTQac9zqOLvSbGdHFw5Wnr3Yo1a1t/Ntap0Htj6UmGebo7uxVYYmaMb2J1vS7ODUJHD5hsmoIGuz1s00t37S898GBHfpdkd+z6FgKtt+8KFIRP3ozWQxcY9txwtltywEGjyb3bbvINmDSVo2r4h0ldcH4gNdjla5Xy5QKW9Jv7XvpVX1Xv1twx00HSccee7PIw2vhS/RT8wdjB00pft/FNr60fEjkuZnsSKXxzBTL9b5e8Jh+MJ5hL1tBi21Lst/yjydtC9G95eYa1YX4REilvH/6hPJ3kblH1AYMQyEMPPeS2bNmycKE/zKtxn05CbkHAYJKKpdOWODtMSvm7ib0m2ib/bXzbAgVtdfrfxTr9dS5gtmjL3EQ1F5uUi+W5fnOW9cD/zpJ++2+3+d92yf7nYjI6HR03+Qf69aYnu3zLmuyX6pzXJ7s8mxzrJr456q65DlzMno72iHP46jL6ZekTHSn2yz250feArVWLKXytv1WrPPq3bjXXxFdyjUBiv1Q/bjrQ6VDCV1czpEoi0LuAQUlwc7SFTkRuQcCAo8K/19qXxKTUk7CtmyZRvlbqwOnu7GW7/ujOaro7m9ZkyzvuuC3p7uy9z7/QV4t1hAA67Qighmyy5wc2nNH4OqEGscbkeXmqgAPQNKinsvC/HLHppcE/NLNuslvJZNTX2sYXk9FFSk0XBj1DP3YYfbLLP511yIrl7sZvfh1PdnlYmddt9pv5p6qqrslmpRez/cFK+M7zxWzizL26jHwCnmD2VjS7tcR+Z9e6Mn65yVf41qF/8yR066ZxGtWG+YWOaS4p+IdcJMutBwGDcnWz0DI6CbkFAQOOymKaptPG60aaeXI5xHjbpRe7rRds5LLNafN2d7YVGDprK8HFJw4ocEBL07cImn7FTwRoYusvcDWV7Xs6/G95GoZ/iOsEk9E4oxwlyD/gya4cJPPVAf/QzpJsFhez2xnlyG0bO9AYq+n1ZW32iyeY7Zpp42uvvV81oH/rVp9tPoJ+2c/FRm86wPWdbnUC/9At31JqR8CgFE00tINORG5BwICjMkxDpz1k0eVWbs4UKMBFV53G0GnruHFSZNd0AZG+UbBj867vFdx5++D92DQgXbL/ridnDlhcLzty9cRHkrk65yktt18I2SGgGBKJ78M/xBmR3XKvxvCS3GTUBwhxB7ynJFsTazzZJWM1jVLwD+2U23xD28VsXyvHFxezPZ3hOjZ28D4YTzAPmU1ji7Pfafxurb+B/q07zcV8hPWXMb9IJwj/kM6sNgkEDArXGJ2E3IKAAUdlMg2d9iSTLlKIM11gpacOcHd2F4Tb60Rn3c7Hmgu+OoLwvzpuuaVgv3KimIzKWeUo6X0E1YWxQw6i6XXAP8iYxXwDLmbLOMZKEWc8wRyjNL18+Ac9a/RvenYxSc82ddzQVO88v062iYkkHf5BQqn+MggYFK5DOhG5BQEDjkpzmu9YqERq5+InAbjzvZnvaA6xlt6dvWLNKXP/CpdRdpZtdNoWenFZ8I0zaioB/9tEZnrpsN801t5mU8cLTb+CyWgTmWF629jhtge3u8OOPgZPdg1xZd2Cf5DhJBvFxWwZK2spYp3z9WV4glmvEfgHPTsvif7Nk8i7Jq54nWxepqm1wT+kEquvPAIGheuMTkJuQcCAoyJLa+u0KTiA143IOKaUQmeSQiu9LPimM0uRAN8UWu1l4X/b+XSRC/vVU8VkVM8ulyTsNxdJvh7w5bm0pZJfwMXsNkL58vyYAU8w52OaUhP8Qwqt9LLgm86sScL7CrxOtolQ/nTYb36mJdaIgEGJWhlpE52I3IKAAUfFlganZ+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGK57dNRnEHfJyfpQTs10IvLgu+cUZcCe8TcDGbo5M/zfOWXBDEE8z5+MM/5GPJ1QS+HJV8aeCbjyVXE/hyVPqVhoBB4fqkk5BbEDDgqOjT4Oz07CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89uVBIXs0dpTG8b9tsta/AF324JdFs77Bd8uyUwH7UjYFC4nsnRcQsCBhwVWxo6FRu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38apBGwKBwLdFJyC0IGHBU9Glwdnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17GqSRMCgcG3RicgtCBhwVGxpcHo2fjFp8I0RsuWDr41fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+NUgjYBB4Vqik5BbEDDgqOjT4Oz07CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tnVJImAQeHaohORWxAw4KjY0uD0bPxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGrQRoBg8K1RCchtyBgwFHRp8HZ6dlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzq0kSAYPCtUUnIrcgYMBRsaXB6dn4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjV4M0AgaFa4lOQm5BwICjok+Ds9Ozk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZ1eTJAIGhWuLTkRuQcCAo2JLg9Oz8YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxq8GaQQMCtcSnYTcgoABR0WfBmenZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV8+uJkkEDArXFp2I3IKAAUfFlganZ+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjF5MG3xghWz742vjFpME3RsiWD742fjFp8I0RsuWDr41fDdIIGBSuJToJuQUBA46KPg3OTs9OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+eXU2SCBgUri06EbkFAQOOii0NTs/GLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bvxqkETAoXEt0EnILAgYcFX0anJ2enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPbuaJBEwKFxbdCJyCwIGHBVbGpyejV9MGnxjhGz54GvjF5MG3xghWz742vjFpME3RsiWD742fjFp8I0RsuWDr41fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn41SCNgULiW6CTkFgQMOCr6NDg7PTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2NUkiYFC4tuhE5BYEDDgqtjQ4PRu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38apBGwKBwLdFJyC0IGHBU9Glwdnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17GqSRMCgcG3RicgtCBhwVGxpcHo2fjFp8I0RsuWDr41fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+NUgjYBB4Vqik5BbEDDgqOjT4Oz07CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tnVJImAQeHaohORWxAw4KjY0uD0bPxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGrQRoBg8K1RCchtyBgwFHRp8HZ6dlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzq0kSAYPCtUUnIrcgYMBRsaXB6dn4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjV4M0AgaFa4lOQm5BwICjok+Ds9Ozk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZ1eTJAIGhWuLTkRuQcCAo2JLg9Oz8YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxq8GaQQMCtcSnYTcgoABR0WfBmenZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV8+uJkkEDArXFp2I3IKAAUfFlganZ+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjF5MG3xghef7Ozbe7bZde7HbeebvbsfmOhfXOO+9wS/Y/cKGSJfsf5JYesLi925q1bvmq1fLKUZIlAPtlsWRLBN9sKNmKwJfFki0RfLOhLLYiBAyKVc1iw+gk5BYEDDgq+jQ4Oz07iST4SijJymCyJOOUsxTsNyfNybrAd5JJzhTwzUcT/jcfS2lNsF8pKV058NVxk0qBr5RUc7mHrrrCbd90hdt6wcbmQg05FEigoAGCBw2AIsmw3wggRfboOOLL/+ci9+wnPWFX4AtBLwXKqAjsN4pIXGDUbhGsFWPrRUEEDApXIzk6bkHAgKMiT4PTk7PKVRKdtp6knyxtu+wzC4PKlJowWUqh1VwW9tvMJjUH/jeVmL087FfPEP5Xzy6XJOw3F0nn4H/zsZTWBPuVkhovR773wUs/47ZddvF4hnJvxUmnIHCgYAf7VUALRPw4AkGvAMwUdmG/esjebnH9Qc+wD5IIGBSuRXJy3IKAAUelPc07PXTW7Zy6yEVnraNKE/ut52/MMlnygYOVp613Sw44SNegOZWC/doVD/9rZ6itAfarIwf/q+OWWwr2ayfq/S8m/XaWqTXAflOJLZbfsuFNWca+4a/7sfAeG84Js7DPEID9MlASksj3IuiVACxzUdivDijGvzpufZVCwKBwzZKj4xYEDDgqfBo6a57LtFPRaacR33reRtXj17FfwWQpRojPh/3yXGKp8L8xQtPJh/2mcYb/TePVdWnYr44wJv06brmlYL9yojRmIP+7/eorGoXoSQH6VsGyI1e7pbteObT0wIPdjjtuWyi/Y9erXcju6TsHbXXQWHjv8y7EDTSNlIcZsN8hi5QtBL1SaHVXFvabxhbj3zRe81AaAYPCtUxOjlsQMOCoTKahs55kMosUdNZp1O877dTWiU6OydKyI1a7PTecjcmSQDWwXwEkpgj8LwNlBkmw3zTo8L9pvLouDfvVEcakX8cttxTsV06UggX3rzuVFaAx64o1p+z6WzuW38aXAgdUZ1PwgIIG9NRtWOfYD8z5ThvfOUfTePgpQa8T3/hm99/fv2FhLkb2SguCXo1okzNgv2nIMP5N4zUvpREwKFzT5Oi4BQEDjsowLaWzxh0qQ25dbqHTjtMlu6WLrPTxq3Bpmiz5chxfyWSJHsumD8JhaSfA8W2XmN9c+N/ydA/7jesE/jfOaFYlYL9p5DHpT+PVdWnYb5ww+V8uWEBj35Xr1reOUyV8t9G3EJinDhA0iOtGwjdey3yUaLJjOvqmeVwbX8k8DkGvdttq49suOT+5GP/Oj641R4qAgYbaFGXIyXELAgYclcU0dNbNbGaVg846Tr7JbiWTGQlfmizR9xDCYATVj6BBu34kfNtrmJ/cJjsmApgszcYOYL9x7k12C/8bZ9d1CdivnDDZcepNB218JRerMH5o108b33bJ+clt8r80Ztj7/AtbQaTwJXvmvgtGfh6vJ+Ixp/Dla5if1DY7bgp6pfBF0CvdllL4ptfeD4kmu8X4tx/6zXEUCBjkoNhhHeTouAUBA46KW3j0FHeo8GxmnYpOu10D96x5zsTFfMlkydcq4YvJkqeVvpbwTa+1XxJNg06y46bJkicg4YvJkqeVvpbwTa+1PxLwv2XrEvYb10+T/8WkP86u6xKw33bCnP/d48yzxa8KSuVLY4kt7zxjrFEIGozhGNtJ5TsmPCc7Tf5XMo9L4Yt5XLpBpfBNr71+Cc7/SuzWH7mEL+zW06pzjYBB4Xqjk5BbEDCYpILOepJJKSmSzqSUts6iHdzrA+g7BXTnnmRJ4UudNj2WvfWCjWNVpwwOxgTnYCeF7xzgYA8R/pfFUkQi7LddDfC/7XxmnQv7lWlAO+lP4YtJv0wXo6VS+I7Kzcs253/32vUxYumrMrV8uaBByrh7XvSj5TsvfPxxcv5XEvTS8uXsF0Evr43hWst3WEO/tzj/m+IHU/ji+kO9toSAQeG6oxORWxAwmKSi7ax9TSlOj2TQWXtysnUqX1mt9ZfiPgyb0ll7Aql8uQ8ian7X/37f16l8+84jPD7435BIWfuwX14f8L88l9JSYb/tGsGkv53PrHNhv7wGuBsNNONQLV9uHJwSrOCPqn+pWr79I8EfEed/U+xIy5e7DqE5f/ij6k+qlm9/CPBHgvEvzwWpkwQQMJhkUlQKOTluQcBgnAo663Eepe2hs+Y1QtH2e04+fixTc6e/hi93pyDuThlTxWBHw3cgPAcb8L9lKxn2y+sH/pfnUloq7LddI9ZJv5Yvd7EVF6smdaXlO1lT/1LCscO0xr+eJPUBD2w4w22/+gqftPCtpdh3EwaF52AD9tuuZGvQy8qX88MpwYr2o6s/18q3fgL8EWD8y3NBKk9gbgMG27dvd//wD//gvva1r7nrrrvOLVu2zO2///7uyCOPdKtWrXK///u/71asWMFTm2IqOTpuQcBgSMXaWfuatJ0KOmtPsH2t5dtea9254USfLtjve+lXVQel4UsDhvvWnTr27QRM+Hn8Gr58Tf1Khf+tQ5+w30k9wf9OMik1BfbLawaTfp5Laamw30mNcHdHay90WvhyYxhtOyaPsh8pFr79INB8FAh6NbMpJQf2O6kJjH8nmSClmUC1AQO64P/JT37SXXXVVe7aa691P/vZz9zhhx/unvrUp7qXvexl7tBDD2086k2bNrmXv/zlC4GCpkIUOPjMZz7jHv/4xzcVmUo64aJS8gAAGRhJREFUOTluQcBgSAWd9ZBFqVvorCc1w030Je+7nKzJOQvfcNJGQQv6doL0/bFce/qWZuHbNxbh8cD/hkTK24f9TuoE/neSSakpsN9mzeSY9Fv44qaDZt34HAtfX0cf16Htam9WycE3V1v6qKccfPvIhY4pnD9RWmqwKQdfBL2IPL/k4MvXXG8qxr/16m5WLa8yYPCjH/3IveQlL3GXX345y2233XZzr371q91ZZ53lHvGIR4yVufrqq91xxx3ntmzZMpbO7ey3337uU5/6lDvhhBO47KmkkaPjFgQMFqnk6Kw9X0ungs7aU2xeW/g211pvTjhBsTxdQBQsfMOLvtqJW73aiLfcwjdee50l4H/r0Rvsd1xX8L/jPErfg/1OagiT/kkmpabAfic183+PPHwscd9LvuKWHHDQWJp0x8o3PJes43Fpu2spZ+Vby3GmtjMcR2jnTjn45mpLKoMayufgW8NxStsY2orV31n44vqDVGuzLVddwOCmm25yRxxxhLvvvvui5J773Oe6z372s4Ogwe233+5Wr17tNm/eHJX1BQ444AB38803z+z1RHQScgsCBotUQqeHzpqzltmnWTqT2be+mxaEH4nVPl1ArbPyDS/8WgcP3RCbXa1WvrNrebe/DP/bLd9ctcN+J0nC/04yKTUF9strJvS/2n47B19M+nkdUWoOvs2115nD3WT1qE03qg4mF9/QhlPvFFc1vgKhXHwrONTkJuYIeuXii6AXr75cfPna60zF+LdOvc2y1dUFDP74j/944a5/KTT6FsHnPve5hQHbiSee6L70pS9NiC5fvtztvffejl5zdO+9907kn3vuue6Vr3zlRPo0EsjRcQsCBotUcnTWnq+1U0Fn7UnyaytfvtY6U0NboaPQTpY8AQtfrj2YLHmyi2sL3/Ga+rMH/1uPLmG/Q11x/g7+d8inxC3Y76RWMOmfZFJqCux3XDNhsGvlX653K9etHy+UsJeDb3jjjPYGtIRmV1M0B99qDlbYUAS9hKAKKAb7HSoB498hC2zJCVQVMPj2t7+98IRAeLF85cqVbt9993U7duxwP/3pTyeO/kMf+pA78MAD3cknnzyWR4GC97znPW79+vULTxBQvZ///Ofdn/7pn7qf//zng7KHHHKI++EPf+io/LQXcnLcEjLgyvQ9DZ11PRpGZz2uq/BD2daJSQ6+4d1V1jaNH3Hdezn41k1gsvXwv5NMSk2B/Y5rBv53nEfpe7DfSQ3lnPTn4Mu1BzcdLOotB99JC6g7JQwYzPIJW08SAQNPYnwN+x3n4fdCG9YGvXLyhQ177QzXOfkOa613C+PfenU3y5ZXFTB43ete5z7wgQ8MeC1ZssS9+c1vdhs2bBhczP/iF7+48P2CG28cPtpI3zGgsr/85S8HsnTx/z/+4z/cc57znEGa37jhhhsWPp780EMP+ST3ta99zR177LGD/WltkKPjFgQMnMvVWXu+OToVdNae5uQ6B9/JWutMCW3XMlnyBKx8YbueJL+28uVrrTc1tGHtZMkTyMEXNuxpTq5z8J2stc6U0Hbhf8vXI+x3XEeY9I/zKH0P9juuofDpGMv3C6jmHHzDmyCWHbHa7X3+heMNn9O9HHz7hi7nOCIXX4yBeSvLxZevva7UnHbrj9zKF3brSZa7ripgsGbNGnfZZZcNaL7+9a9373vf+wb7foNeK0SBgOuuu84nTazPOecc98Y3vnEi3Se8/OUvdx/5yEf8rvvEJz7hTj311MH+tDboJOQWBAwmAwaWSb/V2Xkdwel5EuPrXHzHa613L7yb33onXg6+mCw121MOvs2115mTc9CZiy/8L29LufjytdeXCv9bl85gv5P6gv+dZFJqCux3UjM5Awa5+IZPyWi/CTJ5tHWn5OJbN4XJ1uey4Zx8MY+b1FNOvpO115eC8W99OiuhxVUFDJ7ylKe473//+wvcVqxY4egjxvvttx/L8a677lr4OPKdd945kX/MMccsPDFATqRp+cpXvuJOOOGEQTa9uuitb33rYH9aG01tRMDAuVydtddljk4FnbWnObnOwXey1jpTctsuUbDyxWSp3ZasfNtrry83tw3n4Av/22xHOfg2115XTm7bpaO38oX/bbchK9/22uvLxaS/Lp3Bfsf1FX7/aJbfkBltWe52jdZd8zbsd1J7OccRufhiHDGpJ0rJxZevva7UnHbrj9zKF3brSZa7riZgsHPnTrf77ru7bdu2LdD8rd/6Lffd7363lew///M/uxe/+MUTZb7xjW+4Zz3rWRPpowm33HKLO+ywwwZJp512mjvvvPMG+9PaoJOwaaGggT9J53H9i5OOczvvvGOAhx5pXXrgwW6WXA5Zsdxd87RDBm267cHt7n9955a51tMs9VHqeRFOSh591U0ztVvitOOO29w9Jx8/sF26u+qRl/33zNsF+ynTz8P/lqkXnC9xvcD//hr8euXjZ/jf+Hle6vgP7fo1V6L9kl5+vuoJgzEwbVAgA/pCf8GNq0ocR1A7S20XzqMyzqOu7GPMcSbuIGCQCGwGxasJGND3B/bYY48BohNPPNHR9wrallCGyh5//PHuv/7rv9rEFvK2bt26EKDwBZ///OePvQ7Jp3e9JgfLLVznNW/OuCunZ+VYarusxwX5fJ19qZOSUtsFf1fexZFS/Vyp7YL/zOc/rf6gVD9XarusvCGf33+X6Odw00F+Pfe137j0yQe5Y/Z6xGB6e/INm93X7/vlTC/OP7jpcnf/uuGrh+kbBvtccBGCq5UHV7vqfxD0gr+r0T93Oc4cOHTFRjimsT51pmgCRFoIVBMwoGN4zGMe4372s58tHM6qVavcpk2bWg7NuTPPPNO9613vGitz+OGHu//5n/8ZfCR5LHNk58c//rE75JDhneJr1651n/70p0dKTGeTnBG3UAc470vOx6q808/BFE5vkmJOvpO115eS03bp6HPwRYS/2Y5y8G2uvc6cnDacky/876Q95eQ7WXt9KTltl44+B1/432Y7ysG3ufY6c3L6uZx8c7arTs1Mtjon38na60zJ+UqtXHzxSkPelnLx5WuvNzWXDefkCxuetKecfCdrry8F49/6dFZCi6sKGNBrhL71rW8tcNtnn33cT37yE0ffMuCWG264wT3jGc9w9KRAuHzgAx9w69evD5PH9um1Rccee+wg7XWve537u7/7u8H+tDbI0XELAgbO5eqsPd8cnQo6a09zcp2D72Stdabktl2iYOUL2223JSvf9trry81twzn4woab7SgH3+ba68rJbbt09Fa+sN12G7Lyba+9vlxM+uvSGex3XF/hR7tXnHSK22PDOeOFEvZy8A3btPIv17uV69qvFSQ0seqiOfhWDYBpfM5xRC6+GEcwitqVlIsvX3tdqTnt1h+5lS/s1pMsd11VwOClL32p+6d/+qcBzfe///3ur/7qrwb7fuO+++5zq1evHnwg2af79b777uuuvPJK98QnPtEnTaxPP/10R/X7pem3fH5XazoJuQUBg7wBA6uz8zqC0/Mkxte5+I7XWu9eODHZ48yz3Yo1a9UHlIPv1vM2uq0XbBy0wTqBG1TUg40cfHuAYewQcg46c/GF/x1T0WAnF99BhZVvwP/WpUDY76S+4H8nmZSaAvud1My2Sz/jtrzzjEEGfTNr30u/OthP2cjFNwzCWcflKcdQctlcfEs+Rk3bwnGEds6Uk2/YJgS9ECwIbTu0Eaufy2G/uP4Qaqm8/aoCBmeddZZ729veNqC41157uY985CPuRS960SCNXjf0Z3/2Z9HXFf3Gb/yGu+KKK9zee+89kPUbd99998IHj7ds2eKTFl5HRK8lmvZCJyK3IGDgXOj0tJ2155vD6YVtQmft6aLTHpJwLpwsWW2X6rbaL2x3VEOT21a+kzXWnRLai9WGc/AN2wT/O7SxHHyHtdW9Bf9bn/5gv+M6C30dJv3jfErbg/2OayR8BRvl7nXehW75qtXjBYV7Vr5ce/AO7SF8K99hTf3ZCscRCHqVq1vY71A3od1a525Us5VvOJ7B3G2or1K2qgoY3HXXXQtPBTzwwANj/OjVQ09+8pMd5dMrix588MGx/Ec/+tHu8ssvd0cffbT7+c9/PsijoMFHP/rRhXSf+L3vfc+dcsopY08nLFmyxN14440LQQRfblprOgm5BQGDyYuu6Kw5SykjzdqZlHEU+VoRTk4stkutysE3fPfwvpd8xS054KB8B11xTTn4Vnz4bNPDQafFhnPxxR2CrKqy+Ae+5jpT4X/r0lsu/1DXUbe3NvS/lkl/Lr6Y9PM6y8WXr73e1PApGa0N5+Cbqy31aqO55Tn4Ntdeb044jqAj0QS9cvHl2oOgV575cb1WOtny0E4sczeqPYf94vrDpJ5KS6kqYEDw6CPG9DHjlIVeY/Qnf/In7kMf+pB71ateNSZKwYCnP/3p7glPeIK79dZb3Xe+852JgMMf/uEfun/5l38Zk5vWDp2I3IKAgXOh0yNOms7a87U6Pa496Kw93TydyrC2+rfCCYrFdomGxX7Diw/WAUT92pk8AgvfydrqT+H8ncWGrXy59sD/Du3MyndYUz+24H/r0iPsd1xfob+z9tk5+GLSP66j0b0cfEfr68N2OO6kY9KOISx8w1cZWtrRB71wx2Dhy9XXl7RwHIGgV5mahf2O6yW0W63f9bVa+Ib9gHUs49uEdV4C1QUM6DVBdIH/5ptvFpF4z3ve49761rculN2xY4d7wQte4D73uc+JZH0h+t7BM5/5TL871TWdhNyCgMEildDpobPmrGX2aZbOZPat76YFOTtJK9/wPMLjgOM6t/Idr60/e6HdwP+WqVvY76Re4H8nmZSaAvvlNRP6X+2kPwffnOcTf7T1pubgW+/Rt7c8tOFlR6x2e59/YbtQkGvlm6MNQZN6tWvl2ysYwcGEfo+yU/1wDr4IegWKGdnNwXekul5shnZruUhv5Rv6X1x/KNPEqgsYEMZ77rnHrVu3zn3qU59qpLr77ru7d77zne4Nb3jDWBkKOBx33HHu6quvHktv2qHvIXzsYx9ryu48nU5EbkHAYJFK6PQoNbWz9nwtTg+dtafYvLbwba613pzwDkE6Est7iLV8c55D9Woj3nIt33jN9ZbIaTsWvvC/cRuy8I3XXl8J+N+6dAb7ndRX6H8x6Z9kVEoK7JfXBNd3ay4YafmGF6uoldo5JH+E/UjV8u3H0bcfRWhDCHq185pFLux3nDrGv+M8sBcnUGXAwB8WvSbo3//9390111zj6GPHy5cvd095ylPc6tWr3Vve8hZ30EH8+7d/+tOfule84hXuX//1X31VE2tyLhs2bHDveMc7JvKmmUDt4BYEDIZU0FkPWZS6hc6a10z4zl/thN/CN3zvu/Yucf4I+5Fq4dsPAs1HAf/bzKaUHNgvrwn4X55LaamwX14juSb9Vr5h4IJai4uuQ51Z+Q5r6udW6IfpKFOCBlq+XLAC499JG9PynaypnymcHU3Dfj3NcAxO6fC/no7tdb3DWvq3FfpdXH/on45zHlHVAYNREDt37lx4hzd1bNKFgg0f/vCH3fXXX+9uueUWt2zZsoXXHR111FHuhS98oXve854nraqzck3Hg4DBELm1s/Y1aQdF6Kw9wfa1lm97rXXnchN+zd0pREHDl7NdfOyYtykNX76mfqXC/9ahT9jvpJ7gfyeZlJoC++U1g0k/z6W0VNhvs0bID9+37lS38847BoXo4tWKk9a6levWD9LaNlL5cuMW7QWztnb1JS+Vb1+OW3ocoR8muWkEDTg7RtBrUmuw30kmGP9OMkFKM4HeBAyaD1GWQ68qooDBihUrZAJTKkVOjlsQMBings56nEdpe+ismzWy9byNbusFG8cKpAw0SVDD13rOjDW45zsavj1HMnZ4VlvS8sVkaUwNjTtavo0V9igD/rd8ZcJ+m3WUY9Jv4YubDpp143MsfH0dfV9zdkzHLLn4mcqXs1n6LdyVTRQml1S+kzX0P8US9NLy5ca/CHpN2pqW72RN/UvB+Ld/Ou3qiBAw6IpspnrJ0XELAgbjVCydta8ptVNBZ+3JydapfGW11l+KbHfr+RvdtssuHjuYLoMG3AVe7ZMNY43u8Q7st1m58L/NbErJgf3ymoD/5bmUlgr7bdYIJv3NbErJgf3GNcHNqUiKLoLuseEct3zV6sZKJHypfhr7jj7J4CtEsMCT4NcSvrzk/KTSWOKek4+fOGAEvSaQTD0B9ssjx/iX54LUSQIIGEwyKSqFnBy3IGAwSQWd9SSTUlLQWbdrgmw3fCSbJKQX8VP4cndX4a6Udv2k8G2vqb+58L/l6hb2264b+N92PrPOhf22a4Ds13LTgYYvbjpo18lorobvqPw8bTcFDYgBjYfpFUVh4CDGl+qkoNr2q69gUSJYwGIZJMb4DgpiwzXZb1vQK4Uvgl7pRpbCN732+iUw/q1fh9M4AgQMpkHZ8Bvk6LgFAQOOilN11r4mSaeCztrTSl9L+KbX2h+JpguuNNBcedp6t2LN2taDjfGlDxPSRQXcXdWKsTEzxrdRcI4yNJMlj0fCF/7X00pfS/im19ofCfjfsnUJ+23XDyb97XxmnQv7lWugyZZ9DTQmpqDBbg+PiZfu2l964MGO5sUku2PXtxBovX1XoCB8ctfXQWsKQOy54Wy35ICDRpOxzRCA/TJQGpKaxsFUHEGvBmgdJ8N+2wGTv+SejsH1h3Zu85SLgEHh2iYnxy0IGHBUFtPQWTezmVUOOmsZ+baJkvYOlbZAQVudshbPRynYr1zP8L9yVtMqCfuVkYb/lXGadinYr4y4dtIv5ds2lsBd2s06kvJtrmH+csiWuadmcpGQvCYm12/VXg/sN12DbWMJqm006HXCCSe4//7+DYPAFcki6JXOvEkC9ttEZjy9zWbbrhW08W0bM7TVOd4y7JVAAAGDErTQ0gY6EbkFAQOOyjCtzfFRqdHOmvZxhwpR6HZp61S6/eW6aifbbZsoedtdtusOK7ozimyX1sR3xx23JQ009z7/wrrgzLC1sF85fPhfOatplYT9ykjD/8o4TbsU7FdGvM33tk3Q2/hi0i9j31aqjW+b3LznkT0/sOGMxtcJpfLBUwWpxBbLw37TucXGEuk1jksg6DXOo20P9ttGZ5gXs1lcfxiymrctBAwK1zg5OW5BwICjMp4Wc3zjpdP30FnLmaGzlrOikmS72y692G29YGOaoLA0bFcI6uFisN80XlQa/jedWVcSsN80svC/aby6Lg37TSMc873hpP/wZx3rbt320MKPkGzK3a246SCuG9hvnFGsBNklBQ5oafoWQVMd3t7p1Z54/VATpeZ02G8zG0mOt91Uu22qG0GvJjJ8OuyX59KUSvaK6w9NdOY3HQGDwnVPjo5bEDDgqPBp6Kx5LtNORaedTpxst+1pg9QaKVCASVMqtcXysF8dN/hfHbfcUrDfdKLwv+nMupKA/aaRJdvFpD+NWZelYb/56JJt06sP6RsFOzbv+l7BnbcPvs1FwYEl++968vaAxfWyI1dPfCQ5X0vmpybYr13XfixMNaUGDxD0svGH/abzw/g3nVmfJRAwKFy75OS4BQEDjkp7Gjrrdj5d5qKzttH1EyS6AICBpo2lRhr2q6E2LgP/O85jmnuwXxtt+F8bP6s07FdPkGwXNx3o+eWQhP3moNhcB/g2s8mRA745KI7X4ccUFPT68v+5yD37SU9A0GscUbY92K8NpbdVXH+wcaxdGgGDwjVIjo5bEDDgqMjTvAPEHSpyZtaS6LStBBflU2x3xZpT8Ah2HuwL34iA380DM8WGcYdgHubwv3k4ptgu/G8e5lQL7NfG0tstJv02jlpp2K+WnEwOfGWctKXAV0tOJge+Mk7aUuCrJTcu58cRkmtnGP+Os6t9DwGDwjVITo5bcOGKo6JPQ2eiZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhJC8TTvp/dPk33MG7LVuoIHylCyb9cq5NJWG/TWTypINvHo5NtYBvE5k86eCbh2NTLeDbRCZPOvjm4Vh6LQgYFK4hOhG5BQEDjootDU7Pxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG78apBEwKFxLdBJyCwIGHBV9Gpydnp1EEnwllPRlwFfPTiIJvhJK+jLgq2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ewkkuAroaQvA756dhJJ8JVQ0pcBXz27miQRMChcW3QicgsCBhwVWxqcno1fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+NUgjYFC4lugk5BYEDDgq+jQ4Oz07iST4Sijpy4Cvnp1EEnwllPRlwFfPTiIJvhJK+jLgq2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ewkkuAroaQvA756djVJ/n8AAAD//8mCYakAAEAASURBVOy9C9AmRXX/3+4uuy4gIGKIy3JZTfhhFI1AahXRQCxTpmRJBO8YjbFwFc2aqtRPUjHKekuElImuMcilrKCCSSxI6W5CGUtKDBBIIYqI9wtkWUDzV3ER1oXd/f3f8772c+nnzPTpc3qep6ef71S978x09+np+fSZM6f7zMzzqP+3sDgsxRJ41KMexbYN3cZiMSUSa3A1IWwVBt9WPOZM8DUjbK0AfFvxmDPB14ywtQLwbcVjzgRfM8LWCsC3FY85E3zNCFsrAN9WPOZM8DUjbK0AfFvxmDPB14ywtQLwbcVjzgRfM8LiK3gUAgZl9xFdhNyCiW2Oij4Nxk7PTiIJvhJK+jLgq2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ewkkuAroaQvA756dhJJ8JVQ0pcBXz07iST4Sijpy4Cvnl2fJBEwKLy36ELkFgQMOCq2NBg9G7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfz6II2AQeG9RBchtyBgwFHRp8HY6dlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWz65MkAgaF9xZdiNyCgAFHxZYGo2fjF5MG3xghWz742vjFpME3RsiWD742fjFp8I0RsuWDr41fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NXx+kETAovJfoIuQWBAw4Kvo0GDs9O4kk+Eoo6cuAr56dRBJ8JZT0ZcBXz04iCb4SSvoy4KtnJ5EEXwklfRnw1bOTSIKvhJK+DPjq2UkkwVdCSV8GfPXsJJLgK6GkLwO+enZ9kkTAoPDeoguRWxAw4KjY0mD0bPxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfHrgzQCBoX3El2E3IKAAUdFnwZjp2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ewkkuAroaQvA756dhJJ8JVQ0pcBXz07iST4Sijpy4Cvnp1EEnwllPRlwFfPrk+SCBgU3lt0IXILAgYcFVsajJ6NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjF5MG3xghWz742vjFpME3RsiWD742fn2QRsCg8F6ii5BbEDDgqOjTYOz07CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tn1SRIBg8J7iy5EbkHAgKNiS4PRs/GLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bv5g0+MYI2fLB18avD9IIGBTeS3QRcgsCBhwVfRqMnZ6dRBJ8JZT0ZcBXz04iCb4SSvoy4KtnJ5EEXwklfRnw1bOTSIKvhJK+DPjq2UkkwVdCSV8GfPXsJJLgK6GkLwO+enYSSfCVUNKXAV89uz5JImBQeG/RhcgtCBhwVGxpMHo2fjFp8I0RsuWDr41fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+PVBGgGDwnuJLkJuQcCAo6JPg7HTs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ewkkuAroaQvA756dhJJ8JVQ0pcBXz07iST4Sijpy4Cvnp1EEnwllPRlwFfPTiIJvhJK+jLgq2fXJ0kEDArvLboQuQUBA46KLQ1Gz8YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/PkgjYFB4L9FFyC0IGHBU9Gkwdnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17PokiYBB4b1FFyK3IGDAUbGlwejZ+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjF5MG3xghWz742vjFpME3RsiWD742fjFp8I0RsuWDr41fTBp8Y4Rs+eBr49cHaQQMCu8lugi5BQEDjoo+DcZOz04iCb4SSvoy4KtnJ5EEXwklfRnw1bOTSIKvhJK+DPjq2UkkwVdCSV8GfPXsJJLgK6GkLwO+enYSSfCVUNKXAV89O4kk+Eoo6cuAr55dnyQRMCi8t+hC5BYEDDgqtjQYPRu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38+iCNgEHhvUQXIbcgYMBR0afB2OnZSSTBV0JJXwZ89ewkkuAroaQvA756dhJJ8JVQ0pcBXz07iST4Sijpy4Cvnp1EEnwllPRlwFfPTiIJvhJK+jLgq2cnkQRfCSV9GfDVs+uTJAIGhfcWXYjcgoABR8WWBqNn4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV8fpBEwKLyX6CLkFgQMOCr6NBg7PTuJJPhKKOnLgK+enUQSfCWUZGX23XO32731arfv3rvd3nt2LK733bvDLXvCEYsVLHvCWrd8zdL2yg1nuf1OXC+rGKUWCYDv9BUB9qFb5uALvt0S6LZ26C/4dkug29qhv+DbLYFua4f+gm+3BOajdgQMCu9nMnTcgoABR8WWhpuKjV9MGnxjhGz54GvjNyqNSddRGvbtR750s9tzy81u97arFgIEO5IqpEACBQ0QPGjGBr7NbKaVA/vbLWnwBd9uCXRbO/TXzrfNL7vrrrvcumc+Gw8b2DGzNUB/WSzZEsE3G0q2IvBlsSQlwv4m4aquMAIGhXcpGTluQcCAoyJLazN6VAOecJVxbCoFvk1k8qaPcr72k1e65xz7pMXJWDyprePsJ113XboluQJMavPISEd3XbJlIVBwNV8gIdUzXv36TW7ZmrUJkvUWBd8y+haD0W77AXzBt1sC+Wof9cvwBp2dK/wyO0NNDaN6jPGFhiAvM8oV9oFnlDsV/oOeqLe/eNhLz7AWSQQMCu9JBAzydBCMXh6OTbWAbxOZvOmeMya183Elpg9vvSrLpDa1atXpZ+Jp+AUOuy7e4jR6GutZHzg4YPOFsaJV54NvWd2LQWm3/QG+dr5tk1V4QlvP1/tlmFTRMwwl4ZeFRLrf93qs8du8X4Y3QSf7yXOFfZhkM60U+A9ppMlXwMNeacxqL42AQeE9jICBrYNg9Gz8YtLgGyOUJx+Dpzwcw1oe3PzWbIGC0br94GleJ7V3vv5st+fWm0eRjG1TUIXe5Fpx0nq3fOGTQ8uPONLt3bF9sczehU8W+YmttjpWnLDeHbj5grl82wB8x9Rp5jsYjObrAn/t4zdO8jDFZFUejlwt8H85KvY0+GV2hik1YHyRQkteFvZBzqrLkvDP0ujiYaQ0XvNSGgGDwnsaAQN9B8Ho6dlJJMFXQsleBoMnO8OwBhogkf62TUjnmNSmwMFBF18xN5PaxJX0lfudAprgX7XhzIW/s8LuWNznnHoacFGd9CPJXF8RXwrKzMsPI4MvqzpFJHL6W0TDetAI0mv8xknejsJkVV6eYW3wf0Mi9n2yA6l+GX2ekHR93bp17rs3Xi962GDe/LK2nsH4oo2OPg/2Qc+uC0n4ZzKqqQ8jaezvPD/sJeuFMkshYFBmvwxahYDBAEXSRqrRwxOuSXgd+Kbx0pROGTw9///+ufviN7+9ODFNgydapE9qz9vgibg+sPFstkuaJrXbnE3JpDZ9d79popxtSA8Tm7iSfsXOv42vR7F74bNR9IpsGIyYl6AB+HpNKG8t0d/yWj37FmFSu5s+wGRVN1x9rfB/PYl866b7Gx2hyS/zR+fsL/wyT4dfE29pcAbjC55hUyrsQxOZ2aRz9mE2LSn3qGQP8LBXuf1TQssQMCihF1raQIaOW/CjxxwVt/g0KowezyZHKm4qOSjG69AMntqcIgyelpg3caUB6eqNm1qfVG/j63uUJrW5p+Elk+a+jr6u79/w2xOT+cT1oEuuEJ2ShG/TBOM8BL3AV6RGMysk0d+ZNa7AA2NSu5tOSZ2swhOC8n6A/ytnlVLS4pf547TZ33n2yzyf0XUTbyrTFJxp44vxxRJd2IdRLStru01/y2rp9FvTZA9Sxq1tfOf9Ya/p92g3R0TAoBuu2Wqli5BbEDCYpGIxem3Gzh9p3o0e+HpN6HbdxLltUluiv77V8zp4auMam9RO4TuPk9rcJBV90kn6Gw6pfCkoE/4wX0pwwl8LfVmDb9k9laK/ZZ/JdFrH6fPokXN8Do7swTz9xgnd3/CwzKgW5d1u8h8kkyoS+zCv44smrin3cwnfefTLuCugjXfTQzMSvv5YGF94Ektr2IdxHrPYS9HfWbRv1sfEw0iz7oF+HB8Bg8L7iQwdtyBgMEkFRm+SSc4U8M1Jk6+rzZnHpDbPTJrK6e8B518g/lRQqtNJA6cH33neWPNqfBKe+wZuSrDAA0rlyz2hrDmuP36pa/AttWfG25Wqv+PS87FH9zdMaufv6ya/QTJZ5VvTpr/zOpnt2dCa8x8wqT1KSLfNcU3xy/xR2/TXl6H1vPhlo+fst5vshESPpXzpWPMYnOH0WMLV942E7zxy9Xysawlf6zH6KM89vKEZR0n4kv7O28NefdSJpjYjYNBEppB0ugi5BQGDcSpWoycxdv6I82j0wNf3frdrzumUDJ5S9Hf0DOZl8MTp72MWfoxY+mO5OflqnLHRPitpm2zh/WecOtaklEGSF9Tw5QZPtQVkwNdrSNlrjf6WfUb5W9c0WSWZ1JbwnedJbc5vSLHDEr6cvSUtqc3mcprP+Q8p93EJX39c4jwvkyoc1xS/zDNL4UsynN+b0p/+uH1bc3YC4wt7L3J6nKJPKfo7T/bB3jNLNaTwzXXMPtSDh5H60EvltBEBg3L6gm0JGTpuQcBgSAVGb8iiiy3w7YLqZJ2c05kyeNI6RbUPnriJqhRn3veUli/3JHxKv/rjl7gObQNNHh2y9TpVUzV8afC0c+EHrEd/CFnTt6oGT0EIfKcAOdMhNPqb6dC9qIabrMKktr3rOL9BYwMl+juPk1WhDaYe64rvqDZwfoPmuKN1lrSdyy/z5yTRX1+W1hzfWvyy0fP025ydSDnfVL7+uLWPL2AffE+Xvdbqb9lnpW8d3ctzPOzlW5DCl46965Itbve2q734XDx4MDjZnm70KmBwxx13uA996ENuxYoVbvfu3e4Zz3iGe+lLX+oOO+ywnuKPN5suQm5BwGCJSi6jl2LsfH/Mg9EDX9/b3a6tgyeN/o6eUc2Dp3CglDJJ5RlZ+NI19PPN57k9t97sq1v8YbnYJ6YGhQvd4GyD5Gk17nQsfMMBKQUt6LcTpG+PcO0pIQ18S+gFWRss+is7Qr9LhTaYziZl8jOFL1038/KENiarur0uOBs8Lf+Bjl3zpEpoEzRcfe+n2AcvQ3xr9Mv8+Y2uMb4YpZFvG/YhH8sua9LYhy7bU0Ldoe+Ah71K6JWy29CrgMG5557rLrroojGij370o90rX/lK95a3vMU97WlPG8urYYcMHbcgYLBEBUaP0458aeCbj2VbTTkGTxanqNbBUziZTH2Q8lTVaJ9Z+HIDNm07Rts0y+2ctoHOw8I3vH5SJiNnybDt2ODbRqe8PIv+lnc2+VoU6jHVrLk+U/lyQXDNcfORyFtTrskq36oUvnTsmiezPZNQdzGp4snY1jn9Mt+SFP31MjX6Zf7cRtehf6QJzmj4+jbUOr6AffA9XP7aor/ln11aCznfQfuwlz+yhm94H6jlYS/PpLZ1rwIG55xzjrvssssa++C0005bDBxs2LDBLVu2rLFcnzLoIuQWBAyWflgpfKVKa/Q0xs73S61GL+dNBXy9tkyuQ/2hEqmTyRa+vkU1Dp5Ch147YZSDb662+P6a9Tr8xIjW9tJ5WPmG15BlYmfWXP3xwdeTKH9t1d/yz1DXQs6HmNZkFR275knt8H5isXka/SW+NX8OjtNd7T1Ow9dfcdy9re9v0IW6q/XLPCML39xt8W0qZR3qD7UL4wt778A+2BlOqwaLfZhWG6d5nNDmWXwHareFbxjMtN4Lpslx3o5VVcDAd966devcn/zJn7g//uM/dgcffLBP7uWaLkRuQcDAORg9TjPypYFvPpZtNYWctTdMy03bty9XW3x9s17/5KRfG2vCIZ/5glu2Zu1YmnTHyjccYFidNGm7uygXngsd49Bbvms6lIUv157UQbGp8ZmFufMB38yQM1dn0d/MTSmmuvB+YrF5Gr50HdU4qc3ZB+1ktlcWDd9wMpL6t++T2Z5HTt2lOjV8fVtqm1TJ6Zd5Rlq+4bVksVG+LSWtQz3G+CJP74RcrXqj1V86m9rsQ54eGq/Fwne8pv7v5XwYydPQ8uV8CO3v4Pm2YN0NgSoDBh7VgQce6P7oj/7Ibdq0yf36r/+6T+7Vmi5CbkHAwLmcRk9r7Hzf1Gj0wNf3brfrHIMnq/76M6xp8MS9MaGddM3FN3Ts+zqpHX7uQzsI9XqXg2/I1tom37ZZrMF3FtT1x8yhv/qjlykZ3kuoldpJbQtfzjfr+6Q2Jqu613n4v90wzumX+RZa7APVEfoOffXLPI/RNcYXozTybcM+5GPZdU1W+9B1+6ZZP+eXacfFvt0Wvlx7arK/nlEN614HDA455BBHv2Fw3333tfYFKfPv/d7vLX6u6PnPf/7ikx6tAgVlUtu5Zd4DBpyRgdHjNEWXBr46bqlSOQdPlpv2aLtrGTyFkyqrz9nkVm/cNHqqSds5+IaTV32d1A7ZaicCRzvAyrcWtsQEfEc1ox/bVv3tx1nKWxnqMJ7AlLOLlcw5WeWPpdXf0O5a+9m3Z5Zr+L/d0Q/tgtUv8y3V6i/JhzrcV7/Ms/BrjC88ibxr2Ie8PKdRm8U+TKN90zpG7oeRfLstfMM5h1rsr2dTy7rXAYN3vetd7q1vfau78sor3d/93d+522+/PdovT37ykxffOHj1q1/t9t9//2j5WRegi5Bb5j1gkNvoWYyd75+ajB74+l7tdp1r8JRDf/2Z1jJ4CtlaJrVz8a2FbWjrrE+E5OAbDo4130r318Cs1+A76x5IO34O/U07Yvmlc05qW/mGdrfPk9qYrOpe9+H/dsc4p1/mW5nbPtQyYRWy1gZnrHx9P9E6tMV9ZA37MNqj5W/n1N/yz7a9haFNsIyL/ZGsfGuwCZ5FzeveBwze/va3D/rnc5/7nHv/+9/vPvvZzw7SmjYe+9jHOvoR5Te96U3uqKOOaio283S6ELll3gMGMHqcVuRLA998LNtqysnZetP27azl5h1OWFl+v4DY5OBby6R2brY5+IYTaX2eFARfb436s85hH/pztu0tDa9FKo03QNuZSXNzT1b541r0Nwxw9nES0HOgdU6/zNdr4Ut1wC/zJPm1hW8tfllIJqceW/iOtqsGPc7J1bOx8q2Bq2fRxdrKt4s2zaLO8F5tfdjLn4OFb63217OpZV1VwMB3yh133LH4xsEnPvEJt3v3bp/MrpcvX+5e9KIXLX6u6JRTTmHLzDKRLkJumfeAQW6jZzF2vn9qMnrg63u123WuicEc+uvPtBY9zsWWuOTiG06k9XVSO/wu7iwnA73e1sKWzgd8fa/2Y53LPvTjbOOtzD2pnYNv6NP0dVIbk1Vx/bOWCHXFOqmSQ3/hlzX3qpVvTb7DKKVcPrCV72ibatBj2IfRHi1/O6f+ln+27S3MZRNGj2LlW6v9HWVUw3aVAQPfMT/60Y/chz/8YXfRRRe5//3f//XJjesTTjhhMXDw8pe/3K1cubKx3DQz6ELklnkPGMDocVqRLw1887FsqyknZ+tN27ezlpt3iZOuxDh3u3y/TXPdxTnk0N8u2jVNrv5YXZwH+Hq63axz8O2mZdOvFZPa3THPPVnlW2rR3xomAT0HWuf0y3y9Fr5UB/wyT5JfW/l2cc/lWzq91Jx6bOXrz7oGPc7J1XOx8q2Bq2fRxdrKt4s2zaLOruychS90dxaakH7MqgMGHscvfvEL9/GPf3zxrYNvfOMbPrlxffjhh7s3vOEN7o1vfKOj7VkudBE2LRQ08BfpvK1Do/e4L33PzZrH3h3b3f1nnDroLnp6+LHbvjjzdmm4gO+jptJvJXImfSm1XSl27qenP9ftu3fH4HqkTxItP+LIqfRrWzt/fOKTBm2iDXo6v6285vrtur7bnnaMO3LlisF5POP2u9xdux+Z6XnUZH/Bdzr2t+vrZF7r3/p/1rpnP+bRA/twxrfvcdfvfGim9uHhW25yD2w8e9Am+o2Tgy+9cub3g1T7XuJ97ehV+7kvH3/0gO32h/e4p3/1zpn2dyrX0fIl+j+13N9K1F+y0zX4ZeH9pkQ9puus1HaF/Jr2S2x/LfZh1A438Ue63j/u0s4NHADFRnhNWd9aVzQBIhECcxEw8AzIEF1zzTXub//2b93nP/95n9y4prcMXvayl7k/+7M/c09/+tMby3WZQYaRW+bdqHZp9Cw3o1LblaovpZ5Hqe1K5evLY/DUXdATk1Z6p9LrZ9P6Z+e80u259ebBrYk+2bDypGfOdPLtlIP2d585ds2gTTc88Au34Vt393LSCny7swuW+3vT9YD08f4q8b5Wy6R2OLDGwzL573Ol+pmltivF/sEvy6+vTfxLtMN0/+27Hpfa/lLb1aSfSB/3m6bBo+uHkQYDsIQNvGGQAGuGRecqYDDK+bbbblt84+CTn/yke/jhh0ezJraXLVvmvvzlL7unPe1pE3ldJ7QFDLo+dsn1534l0E8iWM65JqMHvhZNkMvm+rxADv31ra7l8wK52BKXXHxrYZv7kyM5+Ob+brq/HmaxBt9ZUNcfM4f+6o9enmQ4qW19WiwH31r8s9xsSXty8O2iXbPSbPi/3ZHP6Zf5Vlr1txa/zPPw61ysrXx9e2hdA2vYh9EeLX87p/6Wf7btLcxlE0aPYuVbg00Y5VHr9twGDHyH3nvvve7v//7v3Uc+8hH3k5/8xCdPrC+77DL3ute9biK96wS6ELmFIpHzvMDoddv74NstX197Ts7Wm7ZvUy0373DS1fojlzn4hm1afc4mt3rjJo++N+vdW69yD77zvEF7rWypIivfWtgSC/AlCv1arPrbr7Ntb20Xk8c5+HbRrnYS+XNzT1b5Flr41hKM8Sxy+mW+TgtfqgN+mSfJry18a/IdRunk1GML39E21aDHObl6Nla+NXD1LLpYW/l20aZZ1BnaugPOv8Ct2nCWuSkWvjU97GUGWXAFcx8w8H3z0EMPucsvv3zxrYPvfOc7Pnmwph9PPvfccwf709qgi5Bb5j1gkNvoWYyd75+ajB74+l7tdh1y1k685tBff6Zhm2qZ1KbfFDlk63X+NJPWufiGkz25nLWkk8lQOPcEUQ6+4WQg/WbFsjVrM5zt9KsA3+kztxwxh/5ajl+abGjnrNdiDr65r6lZMcdkVffkQx/Iep/Oob+1jC/CYLjFL/OaYOUb2itrf/t2zXod6jHGF3l6JORq1Rer/tJZ1WIf8vTQeC05+I7X2N+90P5qbcIoASvf8Hrq65zDKJMatxEwCHp13759btu2bYu/c3DddcPJpY9+9KPuta99bVC6+126ELll3gMGMHqcVuRLA998LNtqCjlbBk/Wm7ZvZy2Dp3CCiM6PvrW/34nr/akmra18ufZYP9WRdAKZC+eeuLLwzXkdZcakrg581ehmImjR35k0uMOD5tZdaqqVby1PYIaDa+tklVcDC9/aJqvC+wkmVbyW2NecH2Txy3yLtPrLtafPfpnnQetQjzG+GKWj3w65wj7oWU5LUmsfptW+aR0ntHcWmzDaZgvfmh72GmVS2zYCBi09+qUvfcl94AMfcDfccIP79Kc/7Y4//viW0t1k0UXILfMeMMht9CzGzvdPTUYPfH2vdrsOOdPRNIOnHPpLx+ba0+fBUzhxpXXsc/DN1RbqpxKWcNBkcTytfEO2NTyhAr4laLmsDVb9lR2lP6VyT2rn4FvLpHZoF7T3tFFtsvIN+7vv9jf0gyz3NuJs5Ut11DS+CO/XVh228M3dFuqrUpZQj6ldGF/YeyfkCvtgZ9plDRb70GW7ZlV3aPM0NmG07Ra+oT9jvZZG24XtvAQQMMjLM3ttdCFyy7wHDIgJjB6nGfnSwDcfy7aaQs7awZPlpu3bl6stvr5Zr0NnhNqjdY4sfMOnWy3tmDVTf/xw0ETplqddtXxz9rE/txLW4FtCL8jboNVf+RH6UzK8JrX3tNEztvKtZVI7tAu5BtgWvjVNZnudC30hrd/g67PwDa+nXH3u2zbtdXg+dPxZ8K3RLwv7MtRjrS226K9vU662+PpmuQ7PZRb6688/vJ76bh/8eeVc59DfnO2ZZV1d6IuWb3gd9f1hg1n2a9fHRsCga8LG+uki5BYEDMp63bJGo5fzpqK9mXjdr5GvP7eQM6WnOp9WvnTMWgdPoe6sOGG9O+iSK+iUxYuVb442iBs7xYLhJJx2oGLhG35CSzsgniI28aHAV4xqpgUt+jvThnd08NyT2jn41jSpHd5PUv2FsNstfEP/RXsPCNs06/2c52XhSxzC/q5hUiU8J41f5nVEyzdnG3xbSluHekztS7UXWr6jLGobX4RcLXbPyjfU4xrsw6juWLetfK3HL00+9M+ofXjYq7ReKq89vQoYbNy40V1yySUDiu95z3vc2972tsF+jRtk6LgFAQP+8ykwepy26NJwU9Fx00iFDp9m8GR1inK0QXPuXctwAxWNQ63lG3Kl800dsHXNSFs/ZyM0ukvH1/Dl2Fp/YFXLogs58O2Cajd1avS3m5aUUWt4bVptnoVvzsmdEuh2cT5avmE/a+6tJTAN28DZXowvQkr6/Vx+mW9Bqv6Gekv1WG2Ub0tp6/BcNT5aKt+QQY42hHXOch/2YZb0049t1d/0I5YtkethJH+WGr41P+zludS07lXA4LbbbnMf/OAH3c6dO926devcm970JnfMMcfU1B8T50IXIbcgYLBEJZfR0xg73y81Gz3w9b3c7do6eLLoL51Z6MxTWk2Dp1CP6fxSJja0fLl+rekJeOIYfhs8lS2V1/C19ikdtw8L+JbfSxr9Lf+sbC3MOalt5Rve31Jsv41CN9KYrOqGa1hreI/RPkVs0d95Gl8Qf821mcp3HvyyUV3mzjeFcyrf0WPTdmh/Ka2G8QXsA/Vk+YtVf8s/w/QWcj6EJpBIR9bw5WxCTQ97pfdI+RK9ChiUjzN/C+lC5BYEDJaowOhx2pEvDXzzsYzVFDqfVH4aTj03mKhtUpv0eOfGs92+e3cMuoEG/6tOP8ut3rhpkNa2keoUcVy1Ew5t7Zp1HrHddckWt3vb1WNNSdFdEkzhy10rWmd3rNEF7oBvgZ3CNClFfxnx6pI43wFPaOfr5tAGWu8tGv2teTKbeorTYe19RsO39kkV4mv1y/wVJeU7L36Z5+LXob2g9BQfTcrXH8+vOd61jC9gH3wvl7/W6m/5Z6ZvYY6HkfzRU/habZE/JtbTJYCAwXR5Jx+NLkJuQcBgSCWH0Usxdv7I82L0wNf3eLdry+BJo790Npwzb5146JaSvnbOuafaJIOXVL7cQJ+OVcNTVXQe4cLpLpWRTq6k8OXY1qqznjP4ehJlrlP0t8wz6KZVoY+kvU4tfGud1ObuZ1J7G/a2hi9nh2t8QhD+b6gtefc5PaYjSPwy3xKp/nI6S3XU6pd5PrTmfAiyx5KHZqR8R49H2/MwvoB9CHu9vH2t/pZ3JnlbRDYBD3vlZVpzbQgYFN67ZOi4BQGDIRUYvSGLLrbAtwuqfJ3E+v4zTp3IlAyeUp2ieRw8cQMYgk0DpwM2X+j2O3H9BHufIOFL9dMk2eibDF6+9kFpk+4S29Wv3+RWbTjLo2DXMb70iRNybueRLQEDX1ZtikmM6W8xDZ1iQzidxaR2vg7IMVnlW5Oiv2EgiOpIeVrZH7MPa9JhTKp021MWv8y3rE1/59kv83xozdljSsf4gijoFtgHHbdpS7XZh2m3paTjkf6Gb3lR+1L9NAlfbs5B+xBJSQznpS0IGBTe03QRcgsCBuNUrEZPYuz8EefR6IGv7/3u15rBU4r+zvvgqYkv9Sw5SfSJojBwEONLddLkzZ5bb2YVpPZggT/pJjtB+W1BmTa+bYGCtjp9m2pag2+Zvdmmv2W2eHqtyjGpreE7D5PaZA8wmd29LjfZXemkSor+zuP4gnpQ45f5nm/iC7/MExqumzi3+VJNfIe1Dreo/nl7aAb2Ydj/JW6l6G+J7e+6TaS/3IOKZBPwsFfX9PtTPwIGhfcVGTpuQcBgkgqM3iSTnCngm5Nme11NTj1JYVK7nZ0kt8nB97LkKFHQYOUvn4pfvrC//IgjHdldkt278FsItN6zMDgKv93v66A19dWBmy9wy9asHU2uepu4cJNY/qQ92xULfIkLsaU13ev27tiexPagS67w1c7NGnzL7GoMSvl+adLX1CfSU/hywQLp5C5/FuWmEl88Idh9/xBnTKp0y7lJl/1Rve8w6pd53+roVfu57954PfwyD6tljfFFCxxlFuyDEtyUxFL8hyk1qajDtNlesruaN/DxsFdRXWxuDAIGZoTdVkBGjlsQMOCo8N9p9CXbjF7bzQRGzxME3yGJ7rfabuB09NHB02mnnea++M1vDyamSRaT2u19RIzaJrbbpeO5kte847X0swSx3b31arfr0i2dnMA8syWg4NuJWqkrbfMf1JVWJEj6apnUTuE7j09oE19MZnd/wTTpMR0Z44s8/Ikx/LI8LNtqadNlksP4oo0en9fGFPaBZzaN1BT/YRrtKfUYMdvrbQIe9iq1B7ttFwIG3fI1106GjlsQMOCoLKXB6DWzyZEDvjkoyuqIsZbV0lxq3ideiQwx/vnm8xo/J9RMj8+Zx7cKeBJLbHMO/klf6RVZ/1Rh03HnJT23fQBfveZgUNrOjnQVk9rtjCy5xJcLylCdbZNV/pic/uJhGU9nuI7ZXEyqDFlZtogz/DILwbhsTJfjNbSXmMfxRYwp7EO7znSVy93fujpWn+sl/cXDXn3uwe7ajoBBd2yz1IyAgQ4jjJ6Om1QKfKWk8pQj3hg85WHZVItnTPlNv0XQJOsHAZjM5gkRW3oNnhxRsOUZWVLB10LPLovBqIwh6almUruNLya1h+yJb1uA1t+n8ITgkJlmizhjUkVDLl2GWJPvSwt8h3R+EgnPOJVvU93z/tAM7EOTZswmvc1/mE2Lyj8q6XCbL5F6BngYKZVYeeURMCivT8ZahIDBGI7kHRi9ZGRJAuCbhMtcmHhj8GTGGK2AONMEN/1Gwd57Fn6v4N67F/52LMrRpMuyJyx8e3/N0nrFSesnfiQ5eoA5LpDCdtWGM/E2QaKugG8isEzFMSiVgST9bBuIYlJbxrGpFPHFZHYTnbzpMV1OPRomVdqJtd3btj+8x6175rPhl7UjbM0lvhhftCJKyoR9SMLVaWH4Zzq83ubiYS8dv5qkEDAovDcRMMjTQTB6eTg21QK+TWS6S/fMaVL72k9e6Z5z7JMwqd0RbjibHYH9ZbXgC77dEui2duhvGl+6d2FSO41Zamli3BaYSa0Pk9nNxLwvhkmVZkZd5sD+5qfrdRrjCztbzxL2wc5SUwPsg4bapIzXY8mDdHjYa5Jf31MQMCi8B8nQcQt+w4CjIkuD0ZNx0pYCXy05mxycIhu/mDT4xgjZ8sHXxi8mDb4xQrZ88E3nR74CJrXTuaVIeH8Mk1Up1PRlPW9MqugZaiRhfzXU5DLgK2fVVhL2oY1Od3nQ3+7YUs3g2y3fEmpHwKCEXmhpA12E3IKAAUdFnwZjp2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89exI0k+iYFLbxjEm7TljMjtGKm8+7ENenmFt4BsSybsPvnl5hrWBb0gk7z745uUZ1ga+IZE69xEwKLxf6ULkFgQMOCq2NBg9G7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/Lw0JrU9iemuob/d8gZf8O2WQLe1Q3/Bt1sC3dYO/QXfbgnUXzsCBoX3MRk5bkHAgKOiT8PNRM9OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+eXZ8kETAovLfoQuQWBAw4KrY0GD0bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/PogjYBB4b1EFyG3IGDAUdGnwdjp2UkkwVdCSV8GfPXsJJLgK6GkLwO+enYSSfCVUNKXAV89O4kk+Eoo6cuAr56dRBJ8JZT0ZcBXz04iCb4SSvoy4KtnJ5EEXwklfRnw1bPrkyQCBoX3Fl2I3IKAAUfFlgajZ+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjF5MG3xghWz742vjFpME3RsiWD742fjFp8I0RsuWDr41fH6QRMCi8l+gi5BYEDDgq+jQYOz07iST4Sijpy4Cvnp1EEnwllPRlwFfPTiIJvhJK+jLgq2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ewkkuAroaQvA756dn2SRMCg8N6iC5FbEDDgqNjSYPRs/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18euDNAIGhfcSXYTcgoABR0WfBmOnZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV8+uT5IIGBTeW3QhcgsCBhwVWxqMno1fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+fZBGwKDwXqKLkFsQMOCo6NNg7PTsJJLgK6GkLwO+enYSSfCVUNKXAV89O4kk+Eoo6cuAr56dRBJ8JZT0ZcBXz04iCb4SSvoy4KtnJ5EEXwklfRnw1bOTSIKvhJK+DPjq2fVJEgGDwnuLLkRuQcCAo2JLg9Gz8YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxq8P0ggYFN5LdBFyCwIGHBV9Goydnp1EEnwllPRlwFfPTiIJvhJK+jLgq2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ewkkuAroaQvA756dhJJ8JVQ0pcBXz27PkkiYFB4b9GFyC0IGHBUbGkwejZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjF5MG3xghWz742vjFpME3RsiWD742fjFp8I0RsuWDr41fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr49UEaAYPCe4kuQm5BwICjok+DsdOzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZ9cnSQQMCu8tuhC5BQEDjootDUbPxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG78+SCNgUHgv0UXILQgYcFT0aTB2enYSSfCVUNKXAV89O4kk+Eoo6cuAr56dRBJ8JZT0ZcBXz04iCb4SSvoy4KtnJ5EEXwklfRnw1bOTSIKvhJK+DPjq2UkkwVdCSV8GfPXs+iSJgEHhvUUXIrcgYMBRsaXB6Nn4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54Gvj1wdpBAwK7yW6CLkFAQOOij4Nxk7PTiIJvhJK+jLgq2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ewkkuAroaQvA756dhJJ8JVQ0pcBXz07iST4Sijpy4Cvnl2fJBEwKLy36ELkFgQMOCq2NBg9G7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfz6II2AQeG9RBchtyBgwFHRp8HY6dlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWz65MkAgaF9xZdiNyCgAFHxZYGo2fjF5MG3xghWz742vjFpME3RsiWD742fjFp8I0RsuWDr41fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NXx+kETAovJfoIuQWBAw4Kvo0GDs9O4kk+Eoo6cuAr56dRBJ8JZT0ZcBXz04iCb4SSvoy4KtnJ5EEXwklfRnw1bOTSIKvhJK+DPjq2UkkwVdCSV8GfPXsJJLgK6GkLwO+enZ9kkTAoPDeoguRWxAw4KjY0mD0bPxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfHrgzQCBoX3El2E3IKAAUdFnwZjp2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ewkkuAroaQvA756dhJJ8JVQ0pcBXz07iST4Sijpy4Cvnp1EEnwllPRlwFfPrk+SCBgU3lt0IXILAgYcFVsajJ6NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjF5MG3xghWz742vjFpME3RsiWD742fn2QRsCg8F6ii5BbEDDgqOjTYOz07CSS4CuhpC8Dvnp2EknwlVCSldl3z91u99ar3b5773Z779mxuN537w637AlHLFaw7Alr3fI1S9srN5zl9jtxvaxilGokAP1tRJMlA3yzYGysBHwb0WTJAN8sGBsrAd9GNFkywDcLxsZKwLcRTZYM8M2CsbES8G1EkyUDfLNgLL4SBAwK7yK6ELkFAQOOijwNk1ZyVrlK4qaSiyRfD/jyXHKlgq+e5CNfutntueVmt3vbVQsBgh1JFVEggYIGCB4kYZsoDP2dQJI1AXyz4pyoDHwnkGRNAN+sOCcqA98JJFkTwDcrzonKwHcCSdYE8M2Kc6Iy8J1AkjUBfLPiLLIyBAyK7JZho+gi5BYEDDgq7WmYtGrn02UubiZd0nUOfMG3WwK62ikwu+uSLQuBgqt1FYxI+cDB6tdvcsvWrB3JwWaMAOxDjFA8v+0hg7vuusute+az8WZMHKOqBPRXhU0sBL5iVKqC4KvCJhYCXzEqVUHwVWETC4GvGJWqIPiqsImFwFeMqtcFETAovPvoQuQWBAw4KnwaJq14LtNOxU2lW+LgC77dEkirfdfFW9yuS7ekCQlK+8DBAZsvFJRGEU8A9sGTkK/xkIGcVdclob/dEgZf8O2WQLe1Q3/Bt1sC+Wpve/iAjoLPcuZj7WuCffAkulmDbzdcS6oVAYOSeoNpC12E3IKAAUdlMg2TVpNMZpGCm0m31MEXfLslkFb7ztef7fbcenOj0KrTz1wcFK04ab1bvvDJoeVHHOn27ti+WH7vwieL/ICqrY4VJ6x3B26+AG8bNFIeZsA+DFlItvCQgYTS9MpAf7tlDb7g2y2BfLV73wC/gZSPaawm2IcYoXi+f/hA8xCNf0gGn+WMc+ZKQH85KvnSwDcfy5JrQsCg5N5ZaBtdiNyCgAFHZTwNk1bjPGa9h5tKtz0AvuDbLYF47TQoenDzW9nfKaAJ/lUbzlz4O4utiNNfmhygOulHkrngAQ2k6E0D/DAyi3QskeM7VgA7iwTwkEGZigD97bZfwBd8uyWgrx2TrXp2uSRhH3QkSXcf3npVls9yUgvoYRsEDtL7AvqbzixFAnxTaPWzLAIGhfcbXYTcgoABR2UpTTNp1WbsMGnVzFqa08ZXWgfKNRMA32Y2OXLAN06R7O4DG8+eKEiT+vS7A02BAhKQ8N29MOii30MIfzQZQYMJ5BMJEr4TQnOYkPqQAf2WBvkH69atc9+98Xq8GdORzkB/OwL7y2rBF3y7JaCrHZOtOm65pWAfdETp4Zkcv98VHt2/cYDPcoZk+H3oL88lVyr45iJZdj0IGJTdP3jDILF/MGmVCGyKxXFT6RY2+IJvtwTaa79/w29PTObTWwUHXXJFu+AvcyX6S5Oz3I8o0wDqoIuvwOeJWkhL+LaIV52lecggBDLKFw8ZhHTs+6N87bWhhpAA+IZE8u6DbxpPTLam8eq6NPRXTpj8CXpTkXsr1teS47Oc8Hs9zfga+htnZCkBvhZ6/ZBFwKDwfqKLkFvwhgFHxTntpFWKscOkFc++LTWFb1s9yOMJgC/PJVcq+LaT5J7MpgGR9AmoFL5kf+kTReG3YFOCE+1nU19uCt/6zr79jCwPGfia2/jizRhPSb9u46uvFZKeAPh6Et2swVfOFZOtclbTKgn9lZNu8ieohqbPcrbxlTx8EHuDV976Oku28a3zjKd7VuA7Xd6zOhoCBrMiLzwuXYjcgoDBJBVMWk0yKSkFN5VuewN8wbdbAnzt3JOAKcECX2uq/nLfmtcc1x+/9nUq39p5+PPTPmTg5f26jS8eMvCU9Os2vvpaIekJgK8n0c0afONcNZOtvlaOLyZbPR37muNrr7WuGpr0lwIFqzduav2tLQlfeviA+z0vetMAQYN2XZLwba8BuW0EwLeNTh15CBgU3o90EXILAgbjVKyTVlpjh0mr8X5o2tPybaoP6eMEwHecR+498OWJ0oD8/jNOHcvUPOmv4ctNwuIV7bGuGOxo+A6EK96wPmTg0Uj4kr7izRhPLG0t4ZtWI0qPEgDfURr5t8E3zhSTrXFGsyoB/Y2Tb9Pf2Gc5U/hyfi+1Dr5vcx+l8G2uBTlNBMC3iUxd6QgYFN6fdCFyCwIGQyqYtBqyKHkLN5Vuewd8wbdbApO1h4FaGrQcsvW6yYKCFI3+ku3fufBDy6M/hIy3DHjYGr58TXWkhrpLZ2XRHSlfPGSg0x8pX13tkALfbnUAfJv5WiZbfa0Svphs9bTS1xK+6bXWI8G9qXjA+Re4VRvOEp1kKl962+DBd543VjeCBmM4xnZS+Y4JYydKAHyjiHpfAAGDwruQLkJuQcBgSCUc+GsmrSzGDpNWw75o2rLwbaoT6UMC4Dtk0cUW+E5S5QK1KQOk0RotfMOBE9l/+u2E/U5cP3qIud628K0RHKe7mjdjPJsUvtykFQb6niS/TuHL14DUNgLg20bHnge+7Qwx2drOZ9a50N/2HuDeVHzMxVeIfVAt39D3pVZaHnpoP8v+5mr59veMp9ty8J0u71kdDQGDWZEXHpcuRG5BwGCJCjfwx6QVpzGzT8NNpds+AF/w7ZbAeO05ArWjNVr0NxywYdA0SnZp28J3srZ+p+TWXaKRwpf8FrwZk6ZDKXzTakZpIgC+3eoB+PJ8w3s3lUqZbPW1pvLFZKsnJ1un8pXV2v9S3NsxGv9Ty5d7Y1Fz/fS/J9rPQMu3vVbkegLg60nUu0bAoPC+pYuQWxAwWKKSa+Cfw9iFjq/GaeD6uoa0HHxr4NDVOYBvV2SX6gXfSb7hU4HaQC3VbOUbDv41b5lNnmE9KVa+9ZBwLudDBp6Lhi+ns3gzxhMdX2v4jteAvTYC4NtGx54HvjxDTLbyXEpLhf4290g47te8qWjhS/7Mzzef5/bcevOgkZo2DIQr3LDwrRBH9lMC3+xIi6wQAYMiu2XYKLoQuQUBgyUqmLTitKPMNNxUuu0X8AXfbgkMa+cmXQ+95bvDAooti/5y7cFTVuOdYOE7XlO/93I9ZBBS0PANJxvwkEFIdbiv4TuUxlaMAPjGCNnywXeSX2j/LBOdGr6YbJ3sk6YUDd+mumpJD4P+dF5av9PClwu8adtRS9+E52HhG9aF/UkC4DvJpLYUBAwK71G6CLkFAQP+SUHtpFUOY4dJK05Tl9Jy8G2uHTng260OgO843/A1aOtEZw6+4eSDtU3jZ9zvvRx8+01g2PqcDxn4WrV8wwkHvBnjiY6vtXzHa8FeEwHwbSKTJx18JzmGto9KaCc5LXwx2TrZN2GKhW9YV0374cMHWp8zB99cbampf/y55ODr68J6kgD4TjKpMQUBg8J7lS5EbkHAwDlMWnGaUW4abird9g34gm+3BIa1h4MTy+eIfK1W/Q0nILSDN9+e2tZWvjXw4IL62ocMQh4avlx7tJNmYXtq29fwrY1Bl+cDvl3StX92r9vWTb/20Iew3q8t+pu7LdOn2f0RLXy7b91sjvCTk35t7MCHfOYLbtmatWNp0h0r39CXwMMH4+StfMdrw15IAHxDIvXtI2BQeJ/SRcgtCBg4Fzp5lkmrXMYOk1actmKwxFPJl5pLf/O1qK6awHe8P8On+a2TnDn4hk8KWj5vMH62/d/Lwbf/FPI/ZOCZWPiG15J14sy3qaa1hW9NHLo6F/DtiuxSveA7yReTrZNMSk2B/k72TOhvUgntwwe5+Ia+hNUvnzzrfqbk4tvPs+++1eDbPeMSjoCAQQm90NIGuhC5BQED53LfHHMYvdCJwKTVUHtz8B3Whq2QAPiGRPLug++QZ/hZF8uTVb5WK188YeVJ8msrX77WfqXmfMggPHMtXzxkEJLk97V8+dqQGhIA35BI3n3wHfIMx0mUo51s9bVa+eYeT/p21bK28q2Fgz+P0JdYfc4mt3rjJp+dvM7BF75EM/YcfJtrRw741q8DCBgU3sd0EXILAgbO5Zy0ymXsMGnFaSveMOCp5EvNpb/5WlRXTeA73p/h04GzHuxT62B7x/todA/6u0Sjq0khC99w8gwPGYxq7tK2he9kbUgJCYBvSCTvPviO88Rk6ziP0vegv5M9FOowvnAwyaiUFOhvtz0Bvt3yLaX2uQoY3Hfffe7DH/6w+/rXv+5+8IMfuDvvvNPtv//+7tBDD3XHHXece/KTn+xOO+00d+qpp5bSP44uRG5BwMA5TFpxmlFuGm4q3fYN+IJvtwSGtee2vVRzDv3tol3Ds+73Vg6+/SaQ9yGDkIWWLwJdIUl+X8uXrw2pIQHwDYnk3QffIc+ck62+ViueDaSsAABAAElEQVRfPJ3tSfJrK1++1v6m5nxgkSjk4IuHD5r1KQff5tqRA77160DvAgb/8R//4W655RZHE+bPetaz3O/8zu9Ee2nnzp3uwgsvdB/4wAfcgw8+GC1/+umnu/e///3u2GOPjZbtugBdhE0LMfAX6Tyuf3zik8bQ0FOuJXAotV3zri84//m2F+j/fP1/29OOcUeuXDGwv8+4/S531+5HZmp/9+7Y7u4/49RBm+hH3x677YuLvkIJ9wXoXz790/ZnGFB63Je+N3P9gN7OXi+0+gS5R838+oFd7d/1U6L/8PAtN7kHNp498B/oTa+DL70S+j3n8wxN9uWnpz/X7bt3x0Bf6LOcy484cqb6cvSq/dyXjz960KbtD+9xT//qnTP1y5v4Ib1/djvm7wwUDxtVEuhVwOCOO+5wxx9//KJBpt5Yv369u+mmm1o7hozS85//fPf5z3++tVyYud9++7m3v/3ti39h3jT36QLlFhjb/+dKdDox+K/vJhi7SSIfkwbzZo9/ds4r3Z5bbx7cmujH1Vae9MyZDpZOOWh/95lj1wzadMMDv3AbvnU3BksLPsS86WfT+ZYazC+1XU0ckQ4/B34P7KrWDmCyFfaj7/ajxIcP6HostV1972+0X3a/GwzAsFEdgV4FDN7xjne4d7/73YNO2Lhxo/vIRz4y2Oc26BNEb37zm7ksUdqnP/1pd8YZZ4jKdlGIjBS30I1h3pec3yP2NwMrU7wSyBPMxZevHang260OgO8439yfFMjBd9fFW9yuS7cMGrrq9DPdAZsvHOzP80YOvjXwy/0ZAc/EwhefJPIUm9cWvs21IscTAF9Pops1+I5zDSc1S/gNJGph7naNn3V/96C/k32X05fIyRc6PNlXOflO1o4U8J0PHehVwOB5z3ueu/baawc9c80117gXvOAFg/1wY/v27Yu/TfDQQw+FWe6www5zxxxzjNu3b5/bs2eP+973vsd+rujxj3+8++pXv+p+9Vd/daKOaSTQhcgtCBg4h0krTjPKTcNNpdu+AV/w7ZbAsPYuvvdr1d/wfrD6nE1u9cZNw0bP+ZaVbw34cj5kEPLQ8sVDBiFJfl/Ll68NqSEB8A2J5N0H3yHPnJOtvtYcfDHZ6mlOrnPwnay1vym5fYkcfOFLNOtTDr7NtSMHfOvXgV4FDNasWePuvffexV5Zvny5u//++92BBx7Y2EtXXnmlO/vs4TcJqeBTnvIUt3nzZnfmmWe6ZcuWDWQpaHD55Ze79773vYs/iDzIWNh44Qtf6LZt2zaaNLVtugi5BQED53JOWuUydpi04rQ1zw868TUjlQjk0l/Q5AmA7ziX3E9F5+AbDvbpm7LL1qwdb/ic7uXgWwO68P58wPkXuFUbzjKfmoUv3oyJ47fwjdeOEuDbrQ6A7zhfTLaO8yh9D/o72UM5dTgXXwQMJvuJUnLx5WtHKvjOhw70KmCwcuVK98gjjyz2zLp169z3v//91l6i3yB4z3veMyhz+OGHu9tvv93RWwNNy+7duxd/SPnGG28cK0JvK6xdO/3JB7oQuQUBA+cwacVpRrlpuKl02zfgC77dEhivPeeAiWq26G8YPKYfPD5k63XjDZ7zPQvfWtCFepLzs1VavmEQA2/G8Nqm5cvXhtSQAPiGRPLug++QZ27fgWq28sVk67B/uC0rX67OPqeF922rL5GDb9gm+BJDDcvBd1gbtkIC4BsSqW+/NwGDhx9+2K1atWrQAyeeeKK75ZZbBvvcxotf/GJ31VVXDbLojYNXvOIVg/2mjR/96EfupJNOchQk8MtFF13k3vCGN/jdqa3pIuQWBAyWqORyPHMYu3AyApNWQ83NwXdYG7ZCAuAbEsm7D76TPHPaOyvf8D6AgdJ4f1n5jtfW373cDxl4Eha+eDPGU2xeW/g214ocTwB8PYlu1uA7zjWc2MRk6zif0vagv5M9UpL/61sXfuor1xuUvv6+rqG/3fYc+HbLt5TaexMwIGCHHnqo++lPf7rI7rjjjnPf+MY3WjnS54e+/vWvD8rcdddd7qijjhrst2287W1vc3/1V381KLJp0yb3wQ9+cLA/rQ26ELkFAYMlKiXdtDFpxWnqMA03lSGLLrbAtwuqwzrBd8iCtsLJV0qzDFC0fMN7ALXjMRdf4fY7cT1tYvklAS3f2gCG9+lcuqLhG+ouHjJo1jYN3+bakBMSAN+QSN598B3y7MLuWflisnXYP9yWlS9XZ5/TOP/X4ktY+XLtsf6YeJ/7J2y7lW9YH/bHCYDvOI8a93oVMDj55JPdf/3Xfy32wwEHHLD4GwYrVqxo7Bf6bNGdd965mL///vuzP2rcJLx161Z3xhlnDLJf/vKXu09+8pOD/Wlt0EXILQgYLFHhbpKaSSursQsdYGqdxXng+rzPaVa+fT73abQdfLulDL483/BJQe2Ep4VvONC3Pq3In2m/Uy18+33mk60P79VanR2tWcs3DF7gzZhRqsNtLd9hDdhqIwC+bXTseeA7zpAbt1nGS1a+XHsw2TrsMyvfYU11bYX3b63vmYNvrrbU1UNLZ5ODb41ccp0T+OYiWXY9vQoYvPa1r3X/+I//OCD66U9/emxSf5Dxy43f+q3fGny26OCDD14MMIRlmvZvuOEGd8oppwyyX/CCF7hrrrlmsD+tDboQuQUBgyEVTFoNWZS8hZtKt70DvuDbLYHJ2rmB9ooT1ruDLrlisnAkRaO/4SCJDoEfO+ZBa/jyNfU7ldNZzUMGIYVUvmHgguqzTJqF7altP5Vvbeff9fmAb7eEwXecb3jv1k62+lotfHO3xbepprWFb00cRs8l5z3cwjf8/Q1qI3yJ0Z6y/8bJeG3YCwlY9DesC/tlEuhVwOCCCy5wf/7nfz4guX79eveFL3zBPfrRjx6kjW7QGwL0poBffvzjHy9+1sjvt63pNwvOPffcQZE//MM/dB/72McG+9PaoIuQWxAwGFLhJgBSJ60sxi50NqllmLQa9g9tWfiO14Q9jgD4clTypYFvM8tdF29xuy7dMlYg9UlpDd8wUEwNSD3uWKMr3tHwrRiHC3XH+paBhi/ejJFrmIavvHaUBN9udQB8J/lisnWSSakp0N/mngnH/6lzD1SzlW+ONjSfYf9zrHz7T6DbMwDfbvmWUnuvAgbXX3+9e85znjPGbsOGDe7qq6923KeJ3vve97q//Mu/HJT/13/9V/cHf/AHg/2mDZqMp3r/7d/+bVDkne98p3vHO94x2J/WBl2I3IKAwTgVTFqN8yhxDzeVbnsFfMG3WwJ87RSw3XXJFrd729VjBVIn71P0N5zwpQNrBmpjDa58J4Vv5SjY39+w6k8K33CAT7zxkEG71qXwba8JuRwB8OWo5EsD30mWoR202GAt35xtmDzDelK0fOshwJ8J93R/qu9LNWv5hvpLdeHtAqIwvmj5jteCvSYC4NtEpp70XgUMCDtN5G/btm2sB84++2x3+eWXu+XLl4+l33TTTe5Zz3rWIO0Vr3iFu/LKKwf7TRtvectb3JYt409MXnHFFe6Vr3xlk0hn6XQRcgsCBuNUrJNWGmOHSavxPmjb0/Btqw954wTAd5xH7j3wbSdK9nfnxrPdvnt3jBWUTgCk8OUGSNYnxMcaXeFOCt8KT589pRwPGfiKU/hyfoNmgsEfex7WKXzngUfucwTf3ETH6wPfcR5+D5OtnkTZa+hve/9Y7+lavtz1Y/20V/uZ9jNXy7efZzv9VoPv9JnP4oi9Cxh8+9vfdk996lPdI488MsbryCOPdG984xvdOeec4w477LBB3rHHHuu+853vLO6vXLnSff/733dHHHHEIH90g+p+97vf7T7xiU+MJjuSozqOOuqosfRp7NCFyC0IGExSwaTVJJOSUnBT6bY3wBd8uyXQXjvZ3/vPOHWiEE3mr379Jrdqw1kTeaMJMf2lTxjQmwxhUILqwBNVoyT57RhfXqreVOtDBiEZCV9uYkEaVAuPN2/7Er7zxiTn+YJvTpqTdYHvJBNK4WyiJoCayheTrXx/NKWm8m2qp8Z0bu6B/N5Vp5/lVm/cJDrlVL6c/uLBmWbUqXyba0IORwB8OSp1pfUuYED4zzvvPHfhhReyPUG/Z0C/XUBBhSc+8Ynu3//938feKnjJS17i3va2t7ldu3Y5+k2DO++8033zm99c/C2EO+64w3ET8W9+85vdhz70IfZ4XSfSRcgtXDu5cvOWpp20kho7TFrpNErKV1c7pMC3Wx0AXxlfbuDkJWkwc8DmC91+J673SYN1G982m9tW56BybKhfd68dXZO+pk7it+mvZ4g3YzyJ9LWEb3qtkPAEwNeT6GYNvs1cORuMydZmXrPIgf7GqTfNPUie+E/ly/kS1EI8OMP3UypfvhakNhEA3yYydaX3MmBAk+X0JsDmzZvZCf6cXXTIIYcsBhQOP/zwnNWK66ILkVsQMOCoLKVxDqgv3TbB1Gb0MGnlCerXbXz1tULSEwBfT6KbNfjKuJL95X7TwEuTDaagwYqFv2Vr1rrlC/u0Jr57d2x3exc+a0R17PnSzRO/i+DroHXqpO6o7DxuQ3/5Xm8a6JOeSt6M8bU28W3zHTDA9/Ti6ya+cUmUkBAAXwklfRnwbWbXZIMlk62+VilfTLZ6YmlrKd+0WusqzT31T2fYNu/gCUj4Uv30Rg7esvXU5GsJX3ltKBkSAN+QSH37vQwY+G6gHzF+9atf7X7+85/7pKzrJz3pSYu/l3DcccdlrTelMroIuQUBA47KMC110urXTj7F3bV76TNXJItJqyHLHFu4meSg2FwH+DazyZEDvmkUyYbu3nq123Xp+G8BpdXSXDplIqG5lvnJgf629zXpK/cbHCSlHey3BQokdba3eL5yob/d9jf4gm+3BOK1Y7I1zmhWJWAf5OSb9JhqoIdc6BNF4Vu2Mb5UJ/3m0p5bb2YbggcPWCyDxBjfQUFsqAiArwpb74R6HTAg2nfffbe76KKL3GWXXeZ+9KMfZemAVatWOfp00Qc+8AH3uMc9Lkud2kroQuQWBAw4KuNpmLQa5zHrPdxUuu0B8AXfbgmk1042uO1tg9QaKVBAT33TGwlY0gjAPrTziukqTfJzb8ZQrST73OOOdZ+/4uN4M6YdszoX+qtGJxIEXxEmdSHwjaPTTLb6Wpv4YrLVE7Ktm/jaaq1TmvyBn28+r3GC3/sSK3/5u170lu3yI45c/GIGyaY8sHjg5gvgDwvUCPorgGQoAr4GeD0R7X3AwHPevXu3+9SnPuWuueYad+uttzr6AeN9+/b57Oj60EMPdccff/zi7x+85jWvmXmgwDeYLkJuQcCAo8KnxSYCeKnmVExaNbNpysHNpIlMnnTwzcOxqRbwbSIjSycbTAN3euug6Smpppr84AqBgiZC8XTob5wRlSA9xZsxMlbTLAX97ZY2+IJvtwTktZMNbnrbi2rx/gAmW+VMrSVhH9IJ5p53CFuAt2xDIs370N9mNjlywDcHxfLrqCZgEKKmzxR99atfdffdd5/buXOne+CBBxb/qNwBBxzgDjzwwMU1vUHwG7/xG+6II44Iqyhiny5EbkHAgKPSnoZJq3Y+XefiptItYfAF324J5Knd22H6jYK99yz8XsG9dw++yUqTAcuesPC7BmuW1qs2nImnp/Jgxw8fJ3DMPdjHQwYJ8BuK4v7WACZTMvhmAtlQDfg2gGGSc9vf8BCYbA2JxPehv3FGXAnS5ba3DTiZtjT6rBHeKmgjxOdBf3kuuVLBNxfJcuupNmBQLvK0ltFFyC0IGHBU5GnhpNUPbrrBHblyxWIFmLSSc5SWxM1ESkpXDnx13KRS4CslpSsHvjpuUinwlZIaL+f9BLwZM85l2nvQ326Jgy/4dktAVzsmW3XcckvBPtiJel2mmvCWrZ1nSg3Q3xRa6WXBN51ZHyUQMCi81+hC5BYEDDgqtjQYPRu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4xQe74PHjS9GfOf3/6e+51XvHLxDRm8GdPOUpML/dVQk8uAr5yVpiT4aqgtyWCyVc8ulyT0NxfJpU8f0ic6m3yJ0bdsV5y0fuJHkvO1ZH5qgv5229fg2y3fEmpHwKCEXmhpA12E3IKAAUdFnwZjp2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ewkkuAroaQvA756dhJJ8JVQkpWJBW4x2SrjmFIK+ptCK70s+KYzS5EA3xRa6WXBN51ZHyUQMCi81+hC5BYEDDgqtjQYPRu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38+iCNgEHhvUQXIbcgYMBR0afB2OnZSSTBV0JJXwZ89ewkkuAroaQvA756dhJJ8JVQ0pcBXz07iST4Sijpy4Cvnp1EEnwllPRlwFfPTiIJvhJK+jLgq2cnkQRfCSV9GfDVs+uTJAIGhfcWXYjcgoABR8WWBqNn4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV8fpBEwKLyX6CLkFgQMOCr6NBg7PTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2fZJEwKDw3qILkVsQMOCo2NJg9Gz8YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXx64M0AgaF9xJdhNyCgAFHRZ8GY6dnJ5EEXwklfRnw1bOTSIKvhJK+DPjq2UkkwVdCSV8GfPXsJJLgK6GkLwO+enYSSfCVUNKXAV89O4kk+Eoo6cuAr56dRBJ8JZT0ZcBXz65PkggYFN5bdCFyCwIGHBVbGoyejV9MGnxjhGz54GvjF5MG3xghWz742vjFpME3RsiWD742fjFp8I0RsuWDr41fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn59kEbAoPBeoouQWxAw4Kjo02Ds9OwkkuAroaQvA756dhJJ8JVQ0pcBXz07iST4Sijpy4Cvnp1EEnwllPRlwFfPTiIJvhJK+jLgq2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZ9UkSAYPCe4suRG5BwICjYkuD0bPxi0mDb4yQLR98bfxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGrw/SCBgU3kt0EXILAgYcFX0ajJ2enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPbs+SSJgUHhv0YXILQgYcFRsaTB6Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjF5MG3xghWz742vj1QRoBg8J7iS5CbkHAgKOiT4Ox07OTSIKvhJK+DPjq2UkkwVdCSV8GfPXsJJLgK6GkLwO+enYSSfCVUNKXAV89O4kk+Eoo6cuAr56dRBJ8JZT0ZcBXz04iCb4SSvoy4Ktn1ydJBAwK7y26ELkFAQOOii0NRs/GLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bvz5II2BQeC/RRcgtCBhwVPRpMHZ6dhJJ8JVQ0pcBXz07iST4Sijpy4Cvnp1EEnwllPRlwFfPTiIJvhJK+jLgq2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ez6JImAQeG9RRcityBgwFGxpcHo2fjFpME3RsiWD742fjFp8I0RsuWDr41fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+PXB2kEDArvJboIuQUBA46KPg3GTs9OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+eXZ8kETAovLfoQuQWBAw4KrY0GD0bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/PogjYBB4b1EFyG3IGDAUdGnwdjp2UkkwVdCSV8GfPXsJJLgK6GkLwO+enYSSfCVUNKXAV89O4kk+Eoo6cuAr56dRBJ8JZT0ZcBXz04iCb4SSvoy4KtnJ5EEXwklfRnw1bPrkyQCBoX3Fl2I3IKAAUfFlgajZ+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjF5MG3xghWz742vjFpME3RsiWD742fjFp8I0RsuWDr41fH6QRMCi8l+gi5BYEDDgq+jQYOz07iST4Sijpy4Cvnp1EEnwllPRlwFfPTiIJvhJK+jLgq2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ewkkuAroaQvA756dn2SRMCg8N6iC5FbEDDgqNjSYPRs/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18euDNAIGhfcSXYTcgoABR0WfBmOnZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV8+uT5IIGBTeW3QhcgsCBhwVWxqMno1fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+fZBGwKDwXqKLkFsQMOCo6NNg7PTsJJLgK6GkLwO+enYSSfCVUNKXAV89O4kk+Eoo6cuAr56dRBJ8JZT0ZcBXz04iCb4SSvoy4KtnJ5EEXwklfRnw1bOTSIKvhJK+DPjq2fVJEgGDwnuLLkRuQcCAo2JLg9Gz8YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFC8vx999ztdm+92u279263954di+t99+5wy55wxGIly56w1i1fs7S9csNZbr8T18srR0mWAPSXxZItEXyzoWQrAl8WS7ZE8M2Gkq0IfFks2RLBNxvKYitCwKDYrllqGF2E3IKAAUdFnwZjp2cnkQRfCSV9GfDVswslMZkSEul+H/rbLWPwBd9uCeSvfdQOX/vJK91zjn3SwsQ2JrW1pB/50s1uzy03u93brlrkmFIPBRIoaIDgQQq1YVnY3yEL69aoXUCwy0pTJg/9lXFKKTWqx7i/pZBLLwv9TWeWIgG+KbT6WxYBg8L7ji5EbkHAgKNiS4PRs/Ej6VEnKHTm77rrLrfumc/Gk2sGzOBrgNciismUFjhTyoL97RY0+IJvtwTstXs7vOvSLcmVYVKbR0Y+w65LtiwECq7mCySkesarX7/JLVuzNkESRWF/9Trg7QKCXXqGKZJt4wyqB28gpdAcloUeD1lMewv2t1vi4Nst3xJqR8CghF5oaQNdhNyCgAFHRZYGZ0jGSVoKTpCUlK6c54tJFB2/NilMprTRmV4enM1uWYNvPr7wH/Kx9DXRPe7hrVdlmdSmOledfiaehl/gsOviLU7jN/h+aVr7wMEBmy9sKoL0EQKwvyMwEjbhnyXAMhb14wwEZYwgGXHoMQNlikmwv93CBt9u+ZZSOwIGpfREQzvoQuQWBAw4Ks1pcIaa2Whz4ARpycnkMIki46QthckULblu5OB02rm2TWbjDS89X/gPenYxyQc3vzVboGD0WPM+qb3z9We7PbfePIpkbJuCKvSk8IqT1rvlC58cWn7EkW7vju2LZfYufPrJ25K2OlacsN4duPkCvG0wRpbfwf2N59KUCv+siUzedIzj8vIMa4Meh0Smt+/vYfRbPfjsU7fccX/rlm8JtSNgUEIvtLQBAYMWOIIsOEMCSIoicIIU0BJEMImSAEtRFJMpCmgdisDZ1MP1k9maJ4n9pCq+Tc7zh//Ac8mRSnpLfkTbhLSf1H7+//1z98VvfntxYpr6hBbppDbp+EEXXzE3k9rElfwH+r2HcKEJ/lUbzlz4O2ssq83+Em+qk34kmesr4ktvGuCHkceQju208R0riJ1FAvDPpqMIGMd1y1mqx5b7G4K2430If3icxzT2cH+bBuXZHwMBg9n3QWsL6ELkFrxhwFEZT4MzNM4j157UCfJPrtG3bmnQuW7dOvfdG6/Hk2stHZEyiWLhO2+TKB65ZjLFy3JOESZTPB37muNrr7XeGkiX8RmX7voX/kN3bEl3H9h4NnuAria16bv74UQ524AeJzZxpft97Pwl9nf3wmej6PcQwmAEggZxpZHwjddSdwn4Z9Pr39RxHN5AkveNRo/b7APGGXH2xBz+cJxTVyXa9LerY6Le6RJAwGC6vJOPRhchtyBgwFEZpsEZGrLItaVxgvyxuZsJnCBPZ2lNfFMnUXwNWr6xSQRffw3rJr6YTJl973L6O/tWldsCvIHUbd/Af+iOb5MdpkDB6o2b2CfVU+wDTWpzT8NL7Hx3Zz2dmu/f8NsTk/nE9aBLrmhtQApf8tu4H1EmvvP0Jkcr0CAzhW8gOje7TXZBct1K+CLYtaRKxBlvIHV3WWn0WKK/vsXQY09iuIY/PGQxi60U/Z1F+3DMPAQQMMjDsbNa6ELkFgQMOCpu8dXpVGfI18QZPUxqL9HROEGeq19zfH3evDtBTXzbJlE8O7+O8Z3XSRTPRzuZ4uXb+PoymEzxJNLXEr7ptdYlQXZC+hkXvIGU3vfEF/5DOjepRNt9DpPaUop8OS7IRZ90kv4wcYr9pfsc+RPhZ9AkwQm+9fWnpvCtn8bkGcI/m2SSO6XJ/iIok4+0Vo9T7APGGUv9leIPWz77hGB4/PpI0d94bShRIgEEDErslZE20UXILQgYTFKBMzTJJFeK1gnyx5fcTObVCWrS25TBN/h6TePXmEzhuZSSKtHfUto6q3Y02QlqD9kK7tvkvq0cX7K3VCcXSCQ5ySSCr7+GdRNfCQeOb8hk3oPixIPzIw44/4Lop4IkfEPetE/MH3zneWNZNQ7+uScsuwoWjMLkPtuVctzRumre1upvzUxGzw3+2SiN7rY5+ysZZ6To77yO46jXtHqcwtdrB3Ge56Btk79GfEJ/WMIX/rDXrPS1hG96rZAojQACBqX1SNAeuhC5BQGDSSpaZ8jXJDF68+gMaZ0gz9WvpXznzQni9FYyieK5+rWEL5Wdl0kUz8U6meLrkfL15TGZ4knI1ql8ZbXWUappcEQDo6bPuIRn3saXbAIXOJBMlofH6es+Z4clkyn+fNv4+jLz6D/4c+f8iMcs/Bix9MdyJXz9sUbX3P2upklt0qn7zzh19JQXJ0xib2yMCSzsaPhy+lxjQCZkpdnX8NUcp28y8M+m02Oc/U2xgyn6S3Zh3sZxVj1O4TuqMfM4ztD4wyl84Q+PaphsO4WvrEaUKo0AAgal9UjQHroIuQUBg3EqcIbGeeTaszpBvh2pN5N5cYI4vU2ZRNHyrX0SxXPBZIonUfY61T6UfTZ5W9c2OJJOCkr4cpN/dCbzMAHI2WFMpuTTY06Hu+LLtZrzJzT3Wa7uWaeFPhpdr4dsvS6pWRL70FQh2Y2dCz9gPfpDyCl921RvTekWvjVxCM8F/llIpJv90EbQUVKuUa3+cnY35bjd0Mhfq1WPtXzpTDi/rWafjfMliEPbwx0avhxXOk7NbOn8NIuGr+Y4kJktAQQMZss/enS6ELkFAYMhFasz5GtKNXq1O0NWJ8hz9esUvtzNurYbNef4WJzpFL7UJ5z+1jKJ4nUutA2ayRRfVypfkiM9xmSKJ9i+1vBtr7GOXO7Jd7yBlK9vQxtBNWvscKr+cvZXc9x8JLqrKQzItA3um1qRyne0HrLDP998nttz682DZE0bBsKFbHA+msY20OlY+IYPINB9ln47Qfr2SCE4O22GhW+nDZth5aHthX+WvzM4G6GxfRr9pWOHP5Be2ziOeiyHHmv4em0hzvMyztD6w1q+4b2NmNeow16XtGstX+3xIDd9AggYTJ950hHpIuQWBAyWqMAZ4rQjT1oOJ8i3RHMzqd0JyjGJYuVb4ySKZ8LZBkymeDplrTX2oawz6KY1oY2go2iCeql8uUFSjZPZnI3AZEpeXeZ0KVWHU/WXOwMuQJ/aDq7eWabl8tFy8A1tVY32QtvXOfhqj12qHGd74Z/l760cNsKiv7WP43LosYWv15jwPltj0Da8x9C5S+7hVr4hWzou7m9EYWmx8vX1YF02AQQMyu6fxad+uCYiYLBEJYcz5PlqjF6tzlAOJ8hz9WsN3/BGXYsTFJ4XMZI4Pp4lt9bwrXESxbPJaRuoTg1f35bQ0YWz6ckM1xa+w1rq2eKuTYvepPLlnoC32qjSeienjUjlSyxq9R9G+zlkrNVhDd/RdtB2rraE9c5qP3zaUjvhSu238g19GvLVUj+NNCuO0ziule802jjNY4TXolVfLHxr9c9yjuMsfDnbUMsbSLn02MLXX7e16jGdn9UftvKdB3/Y65FmbeWrOSZkpksAAYPp8k4+Gl2E3IKAwdJgO/yxN+2AyWLsanSGcjlBXnctfGt0gkK+2kmUHHxzt8W3adZrTKbMugfkx7fYB/lR+lUytHuaJ9/9GWv40mQD3kDyBNvXGr6+xhr9B39utP7JSb82uusO+cwX3LI1a8fSYjsWvqN1hxNo1knK0bqnvR2eCx3/0Fu+q2pGDr5ce2oLMKrgLgjl4Ks9dqly8M+675nQt9fauxz6G/oz1jFP9/RkR8ihxzn4Ums5X6KWoG2oPyn+cA6+tfvDMm3nS+Xgy9eM1JIIIGBQUm8wbaELkVsQMJh8WkzrDHm+FqMX3sz67gzlcII8V7/W8q3RCcoxieK5+rWWbzjQt15Hvj2zXIfnRG3RTqb489DyJXmuPZhM8WSX1ha+4zX1fy+0eXRGVn3R8OWe6rK2o5TeyTWZ4s9Hw9fL1uY/+PPi9Edrhy18fXtoHbLuqz6HTzxafc4cfEO21jaN9lvft3Pw7TsD337OH9LaBV+nhS/Xnr7aBc+D1jnHcRa+1JbQp8E4g6gMFytfqqlWPQ51h8419frMwZfzZ1LbQW2vccnBt0YuNZ0TAgaF9yZdhNyCgAGcIU4vcqRxTgec+Rxkl+rgnI5Z8qVWhQP9vjtBmEzJp6/TqAnO5jjlcDLbOvFm4Zu7LeNnOrs9TKZ0zz7UndXnbHKrN25KPrBFf8ODhZMP1msrrH9a+yFb7du11N5cfGthm7sPc/HN3a5Z1Qf/rHvyOcdxOfSXaw/GGUt6kIOv16hwLNfX+5s/H1qH97rUc8rJ19qW0fOqZTsn31qY1HgeCBgU3qt0IXLLvAcMOOdjlpOuXHv66gzldua9/lpuKjU5QaHDoZ1E8Vz92sK3toF+yNgymZKDL9VRG2PPJdfaor+52lBKPXgDqdue4O7X8B/yM89ph3PZh1rscOgTWf3NHHzDhyFSPhuRX/vKqjEH37LOSN+anHbBt8LKtxa74HnkHsdZ+VK7QpuVOvHrz62UdU49zsGXuNSmx3ROOfzhXHxD37GGN2WIsXXJxdfaDsh3RwABg+7YZqmZLkJumfeAAZwhTivypOV0gnyLrDeTmpwg8PVa0d06HJhgMqU71jlqttqHHG0opY5w0o3aNcvJbDp+7uuJ6pzlAv9hOvTDtzg0v19ALc1pH8Lrq6+T2rnY5uSLyRT+usqpv/wR+pWa+36Sg28tdsFrQs5xRg6+1K6axnF0Prn0OBdfalNtehyeD51jqj+cky8dP1e/U101LLn51sCkxnOY64DBnj173N69e93KlSsXByQldjBdiNwy7wGDnM6Q52s1erU4Q13dDC18Q6ehr4N80rWcA32vu7QG3yGNLhhb+FLLMJky7B9uy8qXq7OPaeG9DW8g5e/FkDHeQMrPmGrMaYdz2Yda7HD41GXqJErY4zn41sI2ZJNjPwffHO0ooY6cdsGfj5Vvbbqbexxn5Uv9VNM4js4npx7n4Ettqk2PQ19N6w/n4kuMa5nroXPJteTkm6tNqCcvgbkKGFBw4PLLL3c33nij+8pXvuLuuOMOt2zZMvfwww+7ww8/3J188snu93//993LXvYyt2LFiryklbXRRcgt8x4wgDPEaUWetJxOkG+R9WZSkxMEvl4rultjMqU7tl3UbLUPXbRpVnWGAyRMZufvCfgP+ZlyNeayw7ntQ652cec8rbSc55CTb852TYtl18fJybfrtk6j/tw6koNvTWMM6sOc44wcfKlNtTHOpce5+NbIOIc/nJMvMUbAgCgMl9x8hzVjqyQCvQsYfP/733c7d+50T3ziE91BBx0kZvk///M/7lWvepX7z//8z6jMs571LHfllVe6Y445Jlq26wJ0IXLLvAcMcjpDnq/V6NXiDOVygjxXv7bwrYUtsSiRb5ft8v0/zXUXjC3668+9i3b5uvu+zsG37wyo/V3c26heC188GUgE2xcLX6q5pnucJ5VTl618fZtoXYMdzsmWmOTgW6MOE5scSw6+OdpRQh1dXH85+HbRrlnxzn0uOfjWZh9yMs7B1+taznb5Ome1znWfy8m3Nn84R9/m5JujPagjP4FeBQze9a53ufPPP39AYdu2be6FL3zhYL9p49prr3VnnXWWu//++5uKTKQffPDB7uKLL15822Aic4oJdBE2LRQ08BfpvK3DG+LjvvQ9N2see3dsd/efceqgu+jHcB677Yszb1cqlx+f+KTBOdAGvepegn6V2q5Uvj89/blu3707Bozpu87Ljzhy5npSC1/qj9uedow7cuXwLbFn3H6Xu2v3IzPV41rsQ6q+o3zafbpE+3D0qv3cl48/emCztj+8xz39q3fO9Hqy6BX8h0dN5X6z9f+sdc9+zKMHenPGt+9x1+98aKZ68/AtN7kHNp49aBN93vDgS6+cCo+cftTPznml23PrzYPzoN/pWXnSM2d6HqcctL/7zLFrBm264YFfuA3funum/W2xEzn7C+0Y3gfhn3Vvf0v150ttl+b6hB53r8fwh4d2s/T70eDGj40qCfQqYHDOOee4yy67bNAR73vf+9x555032Oc2HnnkEfeUpzzFfec73+Gyo2mf+cxn3IYNG6LluipABoJbNDe30o1NSvtKdTpKbVeKvsAJ6tYJwiRKt3zJjmAypT9OZordT7Fjfa23xMls4l5quzT9XOp9utR2aa872OHu7PA/rDvcvfxxjxkMD95854/clf/fzplOzj/0kQ+6XZduGbRp1elnugPf+TczDWJo7INW3yEn03fYBRkniz5hHIdxBhnivgdtS/U7S23XrO93g5s/NqojUH3A4B/+4R/cm970Jrbj9ttvP3fUUUe5++67zz344INsmeOOO87dfvvtM/tNA7r4uYUciXlecr2m5hl6I+v3NetaXrfM/X1nYmnlW9MrgOCrubrSZHJ893L0iFb9pbp2XbxlYjLlgM0Xjh5mbrdz8K0FXu57G3HJwTccIFl/ZHWW/ZWbcQ6+tfgPo/0a2mGaQNbYvBx8fbvCNml/RNHXN6t1zu8o5+JbC9vcfZqLb+52zaq+UE+sv9OTg29t/lnOcUYOvqRrNY3j6Hxy6XEuvtSm2vQ4h6+Wky8xpqUmf3jpjPT/u+Crbw0kuyJQdcDgoYceWvytgx/+8Idj/H7zN39z8XNDz3jGMxwFDfbt2+e+973vuauuusq94x3vcPRWwuhCQYc3vvGNo0lT26YLkVvmPWCQ0xnyfK1GrxZnKJcT5Ln6tYVvTU5QyFc7ieK5+rWFb9imvk6ieBY5J1N8nRa+VEdtjD2XXGsr31ztmHU9Xdzb6JwsfGu5t/m+7YKxhS+1qzbGdE6hHabPNB6y9TrKSl6sfP0BwwkI62Slr3fa69wBphx8w0kU+tzisjVrp42myOPl4FvkiSkaFdqFHD6wlW9t/ll4PlY7Z+VLalLTOI7OJ6ce5+BLbQr7ve9juVy+Wi6+xLhGX43Oy7Lk5GtpB2S7I1B1wOCmm25y9APGo8tLXvIS97GPfcw9+tHD76qO5v/3f//34u8d3H333YPkX/mVX3Hbt293K1euHKRNa4MuQm6Z94BBeFOEM8RpiS4tpxPkW2C9mYT93WcnKORrmUTJxbeWSRTPA5MpnkQ/1lb70I+zlLUy1wBp9GhWvrUNkML7CfyHUW3Jtx3aYaqZvrW/34nrkw5i1V9/MK49fX5TJpetyMG3C7/G91vf1zn49p3BaPvD69DqA+fgW1uwK7weLUGZHHyp/8P7bp/HcXQ+ufQ4F19qU216nOMel5MvMa7NH6Zzsiy5+VraAtnuCFQdMLjiiivcq171qgE9mvD/wQ9+4NasGf4o1yBzZONTn/qUe+lLXzqS4tzXvva1xd9CGEucwg5diNwy7wGDnM6Q52s1erU4Q7mcIM/Vry18a3KCQr7ERzOJ4rn6tZYv154+T6J4HjkcTV8XrbV8STa0V9YBMtVZ22LhWxOL8D5iGeiPcrHwDdvU94F+eD3mYGzhS/1UG2Ove6Ed1rK28qX25GqLP7dZr0M9ttxXrHxDtn23Ebn71so3d3tmXV+oL1Yf2MI353U0a67++KFfb7ENVKeFr29TTeM4f0659DgH3xr1OPSLZuk/+D4P24R7XR774PliXSaBqgMG73rXu9z5558/IP/a177WffSjHx3sN23QZPwJJ5zgvvKVrwyKXH311e5FL3rRYH9aG3QT4ZZ5DxjAGeK0Il9aLifIt8jiDNXoBIV8tU5QDr652+LbNOt1Tr2x6C9xCBnDwRzXDivf8dr6vZdTbz0JK1+8geRJ8msrX6q1xskUOq9QnyktdXIwB9/wqUBNO0impCX0g6ltmrdlrHxz9HFJXHO3xco3d3tKqC/UGcuEtpVvrf5ZeF6pdtfriZUv1ZOzv327SljnOK8cfIlF2N81jDNK4uv1rTZ/2J+Xdp1Lf7XHh9x0CFQdMHjNa16z+Pkhj/Jf/uVfHH2SSLL89V//tfuLv/iLQdH3ve997rzzzhvsT2uDLkRumfeAATEJb45aZ8jztRi9HDc1344S1l2cj5Zv2M81OkHU57PQ3xonUfz1k2syxden1d/wWsrR175NNa21fGtiQOfC6a3VNlC9Wr5ce/AGEhEdX7R8qZbQRlgmz8ZbVcZeeA9fccJ6d9AlVyQ1zsKXDpSjDUkNnlLh8GlHre5Y+IYTKNYHIKaEbqqHsfCdakOndDDuvqIJdvnmavmGtpfqy3G/9e2a5To8N61toHPQ8vXnH9rfGsZxdG659NjKN+xralsNeszx1ZyXlS/xpIVrTw3+8NLZ6f/n4qtvASS7JlB1wOB5z3ueu/baawcMb7jhBnfyyScP9ts2/umf/sm94hWvGBR53ete5y677LLB/rQ26CLkFgQM8g6yrcauNmeIuynCmeeuRH1aqDOaSRR/dK3+5myDb0tJa0ymlNQbzW3R6m9zjf3OCa9L6wSchW/utpTSM+EAG5Mp3fUMF5hOmTCy6C+dVajDlKaZdCC50hbOV0v1JSx8Obb4seNxLbHwHa+prj34Z932J2cbNOM4q/6G91o661rsL52LVY+tfKkNNQdtw3tMqj+cgy8xpsXalqVa6vqfk29dZOo6m7kKGNx5553u6KOPFvXg9ddf757znOcMyr7gBS9w11xzzWB/Wht0IXILAgZ8pFfjDHm+WqNXqzNkdYI8V7/W8K3ZCbJOoniufp3KN3R8qJ6anHg6H27AlDqZQvXQksqXZDjGmEwhMpOLhu9kLXWkdHFP0fDlbFQtNoKzDfAfurt+Qn+CjjSNoAGnw6kTDt1RyVPzrou3uF2XbhmrLIUtCWrsg7VPxxpc+Y6Gb+VI4J9NoYPDa1QbGLfob83jOOpCzpdIHWdY+NY+zsjhD1v4+suU8yVq8Yf9OWrXOfhqjw256RCoOmDwu7/7u+5zn/vcgORPf/pTd8ghhwz22zY++9nPOgoS+OXFL36xox9DnvZCFyG3IGCwRAXOEKcdedJyOEG+JZqbSe1OELEJ9ZfSUgf6JJPKl3N8aptEIS60YDJliUPJ/1P1t+RzydW20P6lDkBH26Hlm7MNo+0pZTu0v5hM6a5nyJ/YufFst+/eHYODEO9Vp5/lVm/cNEjjNrT6y93ntH3MtauUNGK765Itbve2q8eaJPUlNHzDa4cObLFRYw2vbEfDtzIEjacD/6wRTZaMHOM4i/6GPgSdVI0PzVj02MKXs8NSu59FwaZUSahHKfcaC9/R07O0YbSe2rZz8a2NS23nU3XAgCb5r7rqqkGfbd++3a1du3aw37ZBP45MnyHyy8aNG91HPvIRvzu1NV2I3IKAwRKVHM6Q56sxeuENhOqqyRmyOEGeq1+n8J0XJ8gyieK5+rWU77xMongu1skUX4+UL5Xn9DfFwfXHnKd1Ct954MJdp5aBYCpf7t5W29NU8B+meyVxvKkFkmB1Dv2lY9Wmw3ROtHC+BKVL7zspfDnbUGMghvjlWlL45jpmH+qBf9Z9L+UYx2n0l/ODLT5M96T0R7DqcS6+UnuvP9PZSFr9YQ3f0TPl7nm1+hKj5y3dtvKVHgflZkeg1wEDwrZ8+fJGenv37h3L+9rXvuae8pSnjKU17bz1rW91f/M3fzPIPv/8893mzZsH+9PaoIuQWxAwGFKBMzRkkXvL6gT59qTcTDgns1YniPgQ4/vPONWjGqwlkyi+sJQv5/RQHbU7PsQ4fLqVzluqV1K+VCfHGJMpRKZ5SeHbXEt9OZwt1Ay4U/lyg7MUe9SnnoD/MN3e4nSLWkA28oDNF7r9Tlw/0aAU/aX66boZfZPBVzgP9znOlyC2q1+/ya3acJZHMbaW8qVPQ9CbDPPIdgxY4o6Ub2K11RSHf9ZtV1rHcRr95XwXqb/dLY3uatfqsYbvPI4zOJ2S+MMavqNawvkstfrDo+ct3bbylR4H5WZLoPcBgxR81113nXvuc58rEjnuuOPct771rUHZrVu3utNPP32wP60NuhC5BQGDIRWrM+RrSjF63I2rVmdI6wR5rn4t4TuPThDx4RwSSm+bRKH80aWN7zxPonhGpMeayRQv38aXymAyxZPSrWN8dbX2W4qzvWQTJJ9xCc9cypezRXTMQ7ZeF1ZZxT78h+l3I6djvhXkR9EnisLAQUx/qU4K/uy59WZf1di69mCBP1nOZvi8Nn+ijW/bva2tTn9crNM/GzlvzOCfddvjTXZBOm5tsw9hy+d1HEcctHos5dtmi2u/x3E6LPWHpXxDXeZ8lZr94fD8pftavtL6UW72BHoVMDj33HPdRRddpKa2bds298IXvjAq/+Uvf9mdcMIJg3J0Ifzwhz90j3/84wdp09qgY3MLAgbjVLgbCZWAMzTOSbundYL88WI3k3l2gjwjzjHxeU2TKD6/iS8mUTyhpXWTnaDctomPJr4k16a7bXWSLJYlAm18551Rk+1NecJJypcb6BP/eRyI0nnDfyAK3SxttpiOSLaTggYrF56KP+2009wXv/ltt2zN0idFSXbvwm8h0HrPQqAg/Hb/aIupDw/cfMFAdjSv1m3iwv2mgT9fz3bFAl9i+msnn+Lu2v3IYnYq24MuucJXi3UDAan9bRCfm2TSPe5NUALQ5ku18YV/NlQf4qt5aKaN77D2dl+4dh9ilEOqHkv4Qo+XCDfpcJs/LOE72n9+e179YX/+0rWWr7R+lCuDQK8CBvQDxmeddZZ74IEHkukddthh7rbbbnNr1qyJyr785S93//zP/zwoR28l0NsJs1joQuQWBAwmqTTdSMjRbHsd29cUM3ptN+x5cIZSnSDP1a85vm1M2wYIvs7a1m2M6Vz9QJ8mUWhZvqDbfhLl6FX7ue/eeD0mURbJNP8jximTKZ4x6e/eHduTJqowmdLcD2EOZx/CMvO63xRMTLGRbXyp/nn9jIvXKfgPnsT01jFbbG1J2ySCte7S5Ynt7q1Xu12XbumkqfPMVgO0zf5q6qtVJmYTvA/sg13wz9I0gfgiKJPGTFM6VY8RtJVT1vjDKfYX/rC8L3zJFL5eBut+EehVwIDQ7t692/3sZz9LokyKTAEDWseWRx55xO2///5uz549g6If//jH3ate9arB/jQ3mtqMgAHfC3CGeC65UlOdIDjz6eRjjNNrHJfAQH/ptWFMpozrxSz34GzG6TcNkkgSbyDF+UlKwH+QUMpfhrj/fPN5jZ8TSj3iPL5V0MQotz9B/gM9gOMfVGg6LtKHBHB/G7KQbJHOwj+TkNKVidmEMCiDyWw9Z+ixjl1MKsUfltpfqhOfNYyRn8yX8p2UREqfCPQuYDANuO973/sWf7+ALoKnPvWp7k//9E/dsmXLpnHoiWNQG7gFAQOOylJaqjOESe1mllwOnHmOSv404oxJlPxcR2uM2YrRspJtTKZIKPFl4HTyXEZTSV+bng6kcn6gjzeQRqmlbcdsgmeMJ1zTuEpK+3selW36LYKmeny/YDKbJ0RsaUKEJrDAlmfUZSrub+l0Y7Y4tUb4Z0NixBaT2UMeXW5Bj7uhS1yl/jA+a9hNH/hacX/zJOpdI2BQeN8iYKDrIDhDOm4pUnCCUmjpyxJnChzQgoG+nmObJDHGZEoboW7z4GzK+ea2u+GR8QYS3kAKdWIW+94m028UXPvJK91zjn2S27fwuwW0UHBg2RPWuuVrltYrTlo/8SPJs2hzX445ynbvPTvcD266wR25csVi80O2qzacibcJjB2L+5sNoNdXBLtsHDnp3P4EgjIc5aU06HEzG21Obv0N2wF/OCQyuY/72ySTGlMQMCi8VxEwsHVQ7psJnKHJ/oATNMmkqxTPmiZRaKC/7967B5Mo2x/e49Y989mYRDHCb2OMyRQj3BZxOJ0tcJgs0lO8gcSAyZhEjNt+7yT1UPAfUokNy8M+DFl0sQW+XVAd1gm+QxaWLfhnFnrNsp4rgjLNjHLmeN5+LIegrY0u8YQ/bGNokcb9zUKvH7IIGBTeT3QRcgs+ScRRaU7zN2c4Q82McuR4zt4JGp3QxmRrDsJ8HbhZ81xypYJvLpJ8PeDLc5Gk+oESlcUbSBJi6WX8fQ3+Qzq7HBKwDzkoNtcBvs1scuSAbw6KzXWA7//P3rsAb1JU99+d3YV1uXuJCTeVUsEQYxRI1rxi4iVGU2GNQIxGrHiJsEbjahIVyn8pi5b6QsSKGxUBo5VEyKtRVCDRqK+JCaGyVUCiaFSCJggLldcbgrgu7G7e3/kt/Vz6OTPn9Dk9zzM9z3eqdmem+5ye7k+fOd3TZ+b5NbOx5MTxLj7HYTHbQlGvA/vVs5IkMR+WCJXPh/2WZ9rHEhEw6GOvTNSJbkRuQ8CAo6JLSydDWNTWcfNKYVDxEmzXB992Pt5c8PUSbNcH33Y+mty2sQ1fIGkIyjJtjBEUl/lZJeAfrOR0euCr42SVAl8rOZ0e+Oo4WaXA10pOpwe+Ok45UpNzNfysYQ65fFnYbz6z2jQQMOh5j9FNYVqprAAAQABJREFUyG0IGHBU7GlwdnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZ1aSJgEHPe4tuRG5DwICj4kuD0/Pxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfH78atBEw6Hkv0U3IbQgYcFTsaXB2dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tnVpImAQc97i25EbkPAgKPiS4PT8/GTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fvxq0ETDoeS/RTchtCBhwVOxpcHZ2dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2dWkiYBBz3uLbkRuQ8CAo+JLg9Pz8ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx+/GrQRMOh5L9FNyG0IGHBU7GlwdnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZ1aSJgEHPe4tuRG5DwICj4kuD0/Pxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfH78atBEw6Hkv0U3IbQgYcFTsaXB2dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tnVpImAQc97i25EbkPAgKPiS4PT8/GTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fvxq0ETDoeS/RTchtCBhwVOxpcHZ2dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2dWkiYBBz3uLbkRuQ8CAo+JLg9Pz8ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx+/GrQRMOh5L9FNyG0IGHBU7GlwdnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZ1aSJgEHPe4tuRG5DwICj4kuD0/Pxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfH78atBEw6Hkv0U3IbQgYcFTsaXB2dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tnVpImAQc97i25EbkPAgKPiS4PT8/GTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fvxq0ETDoeS/RTchtCBhwVOxpcHZ2dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2dWkiYBBz3uLbkRuQ8CAo+JLg9Pz8ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx+/GrQRMOh5L9FNyG0IGHBU7GlwdnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZ1aSJgEHPe4tuRG5DwICj4kuD0/Pxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfH78atBEw6Hkv0U3IbQgYcFTsaXB2dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tnVpImAQc97i25EbkPAgKPiS4PT8/GTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fvxq0ETDoeS/RTchtCBhwVOxpcHZ2dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2dWkiYBBz3uLbkRuQ8CAo+JLg9Pz8ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx+/GrQRMOh5L9FNyG0IGHBU7GlwdnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZ1aSJgEHPe4tuRG5DwICj4kuD0/Pxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfH78atBEw6Hkv0U3IbQgYcFTsaXB2dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSVeZu/tt4VdV10R9t5xW9hz+47V/d47doQ1hx+5qrDm8KPChz77ufCiF70o7L/p9LDfiRv5gpBqJgD7NaNTKYKvCpNZCHzN6FSK4KvCZBYCXzM6lSL4qjCZhcDXjE6lCL4qTNULIWDQ8y6kG5HbEDDgqPjS4PR8/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUIjfPvu3572H3d9rDr6o+tBAh2jDMURxRIoKABggcKWBkisN8MWAZR8DVAy1AB3wxYDaJtwdtbbrklHPPEJ4W1R+wL5ML/NkA0JsN+jeCUauCrBGUUA18jOKUa+CpBVSyGgEHPO49uQm5DwICjkpc2Ofn8/F9fHp587CNXFwcm3xzE5DOPaZM0BpMmMvnpk3bb9MYr7Dafa5sG7LeNTl4e7DePVwlp2K+OItnmzku2rQQKrtAptEjFwMGGs7aENUcc1SKJLIkA7Fci5MsHXx8/SRt8JULN+TF4u/PSbc1CDTnRByN40ABImQz7VYJSiGH+q4BUWAT26wfaZrcI1vr51lACAgY97yVydNyGgAFHRU7D5FNm1JUEBm072Wi3eOPVztCrCfu1E4z2i4d+O0OvJuy3neDOi7cFi322lxpWf7qIvjg4cOsFkijyWwjAflvgKLPw0K8E1YEY7DcPKs0Z7r3qY0WCt3Tl9aechq++8rpgShr2O4Uj6wTz3yxcnQjDfvOxRrvFukM+uyFqIGDQ814lJ8dtCBhwVJrTMPlsZjOPHAzWNsp449XGrbQW7NdGFH7Xxq20Fuy3nehdZ50Rdt+wvVGIFpvobxWsO2ljWLvyk0P0xQD5Ztr2rPxk0Yue+YzwvtM2tZax7oSN4aCt5+Nrg0bKzRmw32Y2Ug4e+iVC3efDfvMY37P19cUCBZNXjl8cIHg7SUU+hv3KjDgJzH85KvNPg/3mMce6Qx6vZZFGwKDnPU2OjtsQMOCo8GmYfPJc5p2KQTuPON54zePVtTTsN48w/G4er66lYb+zhOmBnuyU+zsFtMC/ftNpK/9On1VkUojvnh23BiqT/kgyF4CgBStarMIfRmYACkmwXwFQko2H/gTIgk9hv3IHkO+keS/nO6N2U/D2mGOOCTdfe81qILfJ/8YyyA8fcvFlCN5GIIo97FcBaUIE898JGD04hP3qOgHrDjpOyyiFgEHPe52cHLchYMBRmU7LmXw+43XnhH/62k0zbw7SQxcmn9NcLWcYrPOo5b7xuvbIo1cXq+gq9Marxm7xxqu+T2C/elY5fje+sW2xXzz06/sE9jvLiuz07s1nzGSQXdHfHdAGCqgAju+ulZ/ToL+HkAYjEDSYQS4mcHxFpSUWwEN/vzof9iv3R5M/Jk0peMvxpTkwldn0/Gbx83IrhinB8R1mS/2twvzXz7B0CbBfHdHcdYf4pW1OsBbrDrq+6KMUAgZ97JWJOpGj4zYEDDgq4zTL5LNtUMHkc8zWetTG11rm0PTIbq1vvHJ8NXaLN151VsTx1Wkuj5TF70Y6HF+N/eYu7sbrLdue47tsDCbbe+emX5lZzKeHmUMuuWxSTH3M8SX75f6IMoJdaqwjQY7vKBMHIwJ46B+h6NUB7Le5O5rmDeSPN2zeovoiq40vBW+5wAGCBs19kua08U1ll/W8yY6JB4Jei7UK2G8zf8+6Qyx1kq/muQ3rDpFcPXsEDHreV3QTchsCBhyVfWlNg3bb5HPS2TWXvC8Hk0+J0Gx+Dt9Z7eVIabJbzUONhi/eeLXbkYavvfRhaDbZb5vfjS3X8IXfjbTy9xq++aXWq8EtqtJPXVh/27qNLz080WJV+geV6b6wBifqJW+reRtfW4nD0/I89HN88dBfzkY4vuVKr7uktnmD1j9q+CJ4a7cTDV976cPQbLNjKeil4Yv5r91ONHztpdet2WS3mnWH2PI2vlh3iJTq3yNg0PM+pBuR2xAw4KiE1U9QuZ8Z0Dyctzm99GqYfKZE5PMcvnJpw5PwvvGq4Qu7tduNhq+99Lo1myadGr8bW67hC/uNtPL3Gr75pdanwf22sCdYEAlIfLmfiSlx3Xj9oe8lvkNvf1v7mvwvHvrbqM03D/bL8+bmvQeee37WT8JRyVq+tIB1z3lnT1WG7hP8TYMpJDMnWr4zikuQ0OR/Mf/tT+fDfvm+4Pxvjt3GUtv44rktUqp7j4BBz/uPbkJuQ8CAoxIC5/w0k882Z8dfaV8qJp9tdMZ5Vr7jEoZ95H3jNYcvDd544zXPnnL45pU8DGmr342tz+ULvxvJ6fa5fHWl1idFvu/OZz9lquKWh6OpAlZONHy5hyYsVKUk+XMNX15zOVI5/5tj1xq+nP0SXdiwbGMavnIpw5Pg5r0Hr/wx4tw/Cp/Ll5s/IHjbbF+5fJtLGmYO53816w6RRi5fzn7hhyPN2X0u39kShpnC+V+LH9TwxbpD/TaEgEHP+5BuRG5DwGCWCuf8ciafGqc3e9Wwsvg6+8aKxelyZQ8pzcp3SAy4tpR64zWXL9545XqjOS2Xb3NJw8rx+t1II5cv/G4kp9vn8tWVWpdU6mvpIfuwq75QpBEavvTQdNfKH1qe/EPImCvo8Gv46koalhTnfy02peGLh3677Wj42kuvT5N7K9tit7HluXy5+W/O82K87rLsc/kuCxfO/1rsKJcv5r95FpbLN6/0+qTTuTC1YB7+l/O7nuvWR77eGiNg0PO+IyfHbQgYTFPxTj69gwnnBC2ThulWDefMy3c4JKZbQg/gJd54tfCla6d/kBNvqUz3Tzyz8I26Q957/W5kY+ULvxsJtu+tfNtLrSuX87U5bwG2tTaHb/qgTz4XfwCuja7uC472EoaZW+qhP8d+iSTnd/HQ32xjuXybSxpOTrrQmvNFTErBwpfGgx9uPTvsvmH7qDhPHUaFDPDAwneAGGaahPnvDJJeJsB+p7uFmwt7fF8OX6w7TPdFTWcIGPS8t+hG5DYEDKaplJh85ji96auHgMlnSmT23MN3trRhpKQP/J43Xi18yW7xxqvOlix8dSXXK1XC78bWW/jC70Z68t7CVy61HomSvpZrdQ7f9L7BYitHdDoth++05jDPyPeVeNkg0snhS9fGywaRnG6fw1dXYr1SadCUWuJ9wcrCl1vw9daj3l5pr7mFb3uJ9eem4/i8Fl0jOcx/Iwl5D/sdM+piLpzDl+wW6w7j/qjlCAGDnvcU3YTchoDBmEqJyWeOsxtfefoIk89pHpNnJfhOljeEY+6B3/rGq4dvev/gjddZ6/LwnS1tGCmp3VCrrA/bHr7wu7I9efjKpdchkf7OsNXXcq3N5ZveO55AMVefoaXl8h1a+7n2lHzot/DFQz/XK3yahS9f0jBSU9v1Bkw9fEvXZRg9NN0KD9/pkoZzlo7h1DLMf/vZv7Dfcb+UXHeIpVr4pvcP1h0izf7uETDob9+s1oxuRG5DwGBMpdSEz+L0xrXYd1SqLmm5QzgvwXcIHGIbUlvxLhp5+KZvyngf4GIbh7T38B0Sh9iW1H69NuPhW7ousY1D2nv41s6Be0h60HU3F21WDl+uPtbFhqKN6HFhOXx73IwiVePsxxsAs/DFQ7++Oy189aXXJfm9kx41VeHDrvzHsOaIo6bSck+sfNN7yTsPz613LfJWvrW0L7eepeecHr6l65LLogZ5D98a2qetY2orpfydhS/WHbS91g+5pQ4YfPe73w2f/OQnw86dO8Ohhx4azjjjjEBG36etqT4IGIx7qcTk0+LsxjUYH2HyOWYxeVSK72SZtR+XfOPVy5d78C/1x0Br7yeqv5fvEBikbSjhd2OZXr7wu5Ekv/fy5UutJzX9zXVvcCttuYUvHpZSis3nFr7NpdWfU/qh38MXdizbk4evXHpdEtwXgd7grZdvasMI3k7blJfvdGnDOMP8t55+hP2O+6rkukMs1coX6w6RYB37pQ4YvPa1rw0XXnjhqKc+85nPhGc84xmj8z4c0I3IbQgY7KNScvJpdXpp/2DymRLZd16KL196XanpAifVfpEPTVx98NA0bVOw3zGPkn43lurlC78bSfJ7L1++1DpS0wVW79vYXKtz+aYPS6WDGFwda07L5VtzW6W646FfItS/fNjvvj5JffGGM7eEDZu3uDvMwxe+WMbv4SuXXpcE5r919RfVFva7729tpn/3yLvuEC3BwhfrDpFeHfulDhi8+tWvDtu2bRv11BVXXBFOPfXU0XkfDugm5DYEDPZRKTX5tDg7rl8oDZPPWTIl+c6WXl9K6TdeS/BNF1yxgDW2qxJ8x6XVf1TK70YSJfjC70aas/sSfGdLrScl9W2lg6EWvumig+cPJtbTE7aaWvjartR/Le4h2/vQ7+HL1af0/dX/XmmvoYdve8n15aZzhxLBWy9fzB3a7cjLt730+nJTG/YGvUrwhQ0321EJvs2l15NTet0httzDN52bY90hUu3fHgEDBAz6Z5UZNUoHbs/k0+P0JquMgXuSxvi4FN9xifUelbTbSMHLF3YbSfJ7L1++1DpTYb/19dsy22/6RnaJ38xOLSCXb7rQWuq3ZNN6DeU8l+9Q2p22Aw/9KZE6zmG/+/qpK1/s4YvgrXwPefjKpdclgflvXf1FtYX9htCF3UZLsPLFukMk2P99VQGD++67L3zlK18pRvWCCy4If/3Xfz0qj36e6GlPe9roPB6sXbs2PPaxj13I3zegm5Db8IXBPiqlJp9WZ8f1DSafs1RK8p0tvb6UNKrufSOvBF/YbbMdleDbXHp9OaX8bmx5Cb6w30hzdl+C72yp9aSkvzfsfSM7bbmFLwIGKcXmcwvf5tLqzuniod/LFw/97Tbl5dteel25pecO1HovX/jidhvy8m0vvb7c0jZcgi/mv812VIJvc+n15JRed4gt9/CF3UaK/d9XFTB4y1veEt70pjcthOqnP/3p8MxnPnPu16YbkdsQMNhHpeTA7XF6k32EyeckjfFxKb7jEus9Kmm3kYKXL+w2kuT3Xr58qXWmwn7r67dltt+uAwZkDRa+86hXfZbK19jCly+p7lQ89NfZf7Dfff3Wlc/z8u2qXnVa62ytvXxnS6w3BfPf+voO9htCF3YbLcHKF+sOkWD/91UFDE4//fRAf2dgEdv73ve+sHnz5rlfmm7Cpo2CBvEmXdZ9Osl78PXfCH3g0td6Laud9K3dfbSPPTtuDZN/EIl+IuOBV/9TL+6nvvXfstenj/ZLfr+v9Vp2e1l0+7/4uEeEo/dfN5pKPeHGW8Itu+5b6PwJ/hbzV8t98f1TfjnsvWPHyJbp57XWHnn0Qsfph6/fL/zbzz18VKdb790dfv5L/73Q+6sPzwGW/h16vftov9RP3z3xkSP7pQP6Cg399xML9St95d/XeWZf69XXfly2enVtH1MOVHmCgIESVA/EqgoYPOMZzwif+9znFoLtoosuCi9/+cvnfm1yaNw29Emltn2YfOKhu8ZBv68PJ32tl9YfQG4+/gB+dz6cYc9lOP/gzBeE3TdsH02l6Cfg9j/piQtdDDn5kAPClcceMarTv9z947Dp67dhkWplzgu7b7b7rh/6LfMpBL+a+8vCc8j2f9VxR4UnHfyAkd979k23h2vu+tFC/d691/1ruHvzGaM60R+gP/TSy+GH8FIia5eY/8Lf1ejX5/F8P3KiGQfpnKb0T4ZmVAWiLQSqChg8/elPD5///OdbmtNd1sc//vHwnOc8p7sLNJRMTonbaEKJLYRSn2dH51+CKX6TbZZiSb6zpdeXUvrTwBJ8EelvtqMSfJtLry+nlN+NLS/BF3430pzdl+A7W2o9KV387vtk6y18u/rjtZP1Gsqxhe9Q2p62o4uH6xJ8u6hX2vZaz0vwrbXtab1Lzx2ofC9fzB3SXpo+9/KdLq3+s9I2XIIvbLjZrkrwbS69npzS6w6x5R6+WHeIFPu/rypgcMopp4S//du/naJKf4yY/q7BIYccMpWuOaGvBj75yU+ORM8666xw6qmnjs7jwbp168JTnvKUQPt5b3QjchsCBvuolBy4PU5vso8wcE/SGB+X4jsusd6jknYbKXj5wm4jSX7v5cuXWmcq7Le+fltm+53HH2XN5ZsGMTacuSVs2LylPsOaU41z+c6pWnO/DB765468yAVhv/swpn5v/SmnhQO3XuBm7OGb1gm+eLY7PHxnS6s7BfPf+voP9lvuBVuu9618se7A0exnWlUBg7PPPjtccMHsxOLwww9fTX/hC1+YRfnVr3512LZt20iH/j4CFzAYCSzggG5CbkPAYB+VdKJnnXxanR3XN2mdMPn0vwHEca45LbWRA889P6zfdLq5SSXsF2+8NuMvwbe59PpyUvu1+t3Y8hJ80zrB70a68L9dv8Vksd/0jWz6Lfo1Rxw17jQcjQhY+I6UB3aAxar6OhT2O+6zNHhLfyvrsKu+MBYwHHn5pkE473zc0IReq3j59rpxhsqlc03Mfw0Q56gC+90HO7XbUn7OwxfrDnO8EZyXqipg8L3vfS+ceeaZjX/4+OSTTw7vfve7w8///M+rsCBgoMLUa6GSk0+P05uEhMnnJI3xcSm+4xLrPUrt1jvhJBJevulkAguu0/bl5TtdWt1nqf3iob///bns9tvFQutkr+fw7eL+mazLEI9z+A6x/bFN6TiNh/5Ipt972O++/kmDt5RKf1NmvxM3ujrQyperD35De7YrrHxnS6o/pYvx28sX6w7tduXl2156Hbmp3ZZYd4gtt/JN5zNYd4hE+7evKmAQ8X32s58NW7ZsCV/72tdi0mi/du3a1T9O/Ja3vCU88IEPHKVzBwgYcFTqSuMme5bJp9XZpbS4+mDy6V/MTjnXfp7aiXfBtYT94o3XZqsqwbe59PpyUvulFlj8bmy5ly9XH/jdSBf+l0ikD0tenzumm883DV7gIWmS5uyx1z/MllhvSmrHJR76vXzx0N9uT16+7aXXl5v6P68Ne/iWrkt9vSHX2MNXLr0+CW6+iflvf/sR9ruvb1K7LTUH9vDFukN/75u0ZlUGDKgR9913X3jXu94V3vzmN4e77747bVd4yEMeEt72treFl73sZatv3s4IrCQgYMBRqS+t1ITP4/QitVJ1ieUNaV+C75B4pLbimXASFw/fdBGi1ERiSP3l4TskDrEtqf3ioT+S6ed+2e03fViiXir1djaVpeWb+lrS9fp+KmPom5bv0DmkdlxqrPbwxUO/bHUevnLpdUl04QMtfNPfzyaK8MW8LVn48iUNIxXz37r6Efa7r79Suy3l7yx803Gg1FymLsusp7bVBgwi4jvuuCO8/vWvDx/60Idi0tT+pJNOWv2Zoo0bZz93RMBgClW1J6nToYbkOkGLs0uBYfKZEhmfl+A7Lm0YR6ndegZLL990EoE3XqdtzMt3urRhnKX2S63K9buRhIcv/G6k2Lz38G0utb6c9E1oj8+dbH0O3/SnA7yBtsl6DPU4h+9QGUy2Kx2vrX43lunhm44Dpe6pWLch7D18h9B+rg2pDa87YWM45JLLOFExzcq3ZB3ESlYsYOVbcZPFqqd+jxSsftjDF/NfsavUL3PIJdUvkdptifHaar+p/8W6Q7/tq/qAQcR7zTXXhD/4gz8IX/ziF2PSaE/G/JKXvCS8/e1vDw996ENH6QgYjFBUf5A6Hsvk0+r0IrwSdYhlDXHv5Ts0JumbgtQ+zxuvVr7pBILqYZ34ku5QNyvfofKgdpX0eVa+Jesw5L6y8h0SE87nWuYKHBMN39RWqRz8sWOO5myahu+s1jBT0jEbD/3972fY73QfcQudngWjXL6cL8a8d7qPJs9y+U7qDvU4tSHPXMLKt2QdhtpP1C4r36Ex4ebAnnWHyCeXbzqHoXLgfyPNfu4HEzAgvHv27Anve9/7whvf+Mbw/e9/f4b4YYcdFs4777zwyle+MtDfOkDAYAZRtQneyWeus0tBpYM25cP5jSl5+Y5LGtZRqTdePXzxxqtsUx6+cun1Snj9bmy5lS/8biTYvrfybS+1ztydF28LOy/dNlV5z0IVFaThm/p60vNel8pYhk3Ddxk4xDaWfui38sVDf+yR9r2Vb3up9eeW8om5fLl5C770aranXL7NJQ0rh7Mjy5hu5Yv5r86erHx1pdcnlfpd7wsHFr5Yd6jPbgYVMIj4v/Od74Q3vOEN4f3vf3/43//935g82v/cz/1c+LM/+7NwxRVXhG3bxg+OdH7qqaeO5PpwQDcit3Ht4uSWKS11gtT2nMHb4vToGtykAZNPIjO9WflOlzKsM+7B3/qWioUvN+HEG6+8jVn48iUNK9XrdyONXL7wu5Gcbp/LV1dqfVLkc3desi3suvqKqcrnzBWmFO8/aePL3SNWP89dexnS2vguQ/vTNqY2hYf+lFC/zmG/s/1BvviuzWeEvXfsGGWSHa8/5fSwYfOWUZrmQMuXmzd47x1N/WqX0fKtvZ259U/9MOlb5hK5fDk7xrpDc+/l8m0uqf6ckusOkUYOX6w7RGp17QcZMIhdcN11163+TNH27dtjUuseAYNWPL3P9Ew+c5zdJAhu0Mbkc5LQvmMr39mShpdS4o1XC99SE93h9chsiyx8Z0sZZorH70YiuXzhdyM53T6Xr67UeqU4m6XWWBfx2/hyD0eYI+TZThvfvJKGI13yod/Cl7NrvGzA25eFL1/S8FI5O6ZW5ix+avlyNkvXwtfgRKF50/JtLmG4OdxcIjfolcsX8988e8rlm1d6ndIl1h1iy3P4Yt0hUqtvP+iAAXUHvYn/wQ9+MJxzzjnh29/+dmsPIWDQiqeKTM/kM8fpEQxMPvNMIpdvXun1SpPNlnjjNYcvN2hbF8vqJZ9X8xy+eSXXL+3xu7H1Wr7wu5FY3l7LN6/UeqWbbJYe9jectSWs33R6VuNSvvRzLeTXJ9+ejQVigSqS0O9TvnrN4Uriob+evoX9NvcVtwBK0uSLD9x6QdjvxI3NyvfntPGl8mnOC18sYmwUaOPbqLQkGU1zCQS9+mMAsN/pvii17hBL1fDFukOkVed+8AGD2C133nlnOPfcc8N73vOe1b91ENMn9wgYTNKo99gy+dQ4u0gEk89IQr/P4asvdTiSNHinn2ZT67SL+Dl8uQVXvPHabks5fNtLGm6uxe9GGhq+8LuRVv5ewze/1Po1mvwutcy6WNUWKMgps3665VoA++VZlnroz+GLh36+L9pSc/i2lTPkvKb5A7WZ5sH0E0VNgYMmvlQmBdV238D/ygACtzqLauKr014OqSb71Yz5Gr6Y/9rtSMPXXnq9mk3zX+26Q2y5hi/WHSKtevdLEzCIXXTjjTeGV73qVeELX/hCTBrtP/7xj4fnPOc5o/M+HNCNyG34GwYclXFa0+BNEk2TT8npYfI55ms5kvhayhySDg3edz77KTNNogmn5o1XiW/bQhYenGawzyRIfGcUljDB4ncjpia+8LuRkG/fxNdXav3aTYuusWXkf2mhat3KvzVHHBXWrpzTnjbS3bPy+9u0//MtrwjPf/DBUW1mn/sQNlPAkifAfnkDINvzvGwQS9XwxUN/pJW/1/DNL3VYGk22HFsZffH+93/9NemLH75+v3Dztdes+uLdK4GC9G/UxDJoT774oK3nj/z4ZB6OeQKwX57LZCrmv5M0+nUM++X7g3yuZ90hltrEF+sOkVD9+6ULGMQu++hHPxouvfTS8I1vfCPs3bs3/PRP/3T4yEc+Eo46at+DYJRb9J5uQm5DwICjMp2WM/l86lOfGv7pazeNJpCkGxcCMPmc5mo5axpMLGUNWafNZtveVGnj2zZgt5U5ZM65bWvjm1vW0OXbbJjazj30rz3y6NWfD4Tf7cY6YL/tXMnudl11Rdh56bZ2QWNuzk8TGC8xaDXYb3v3kv16Hvolvm1zCLxs0N43lCvxlUtYHgmyZe4nOksRgC/OJwn71TMj++UCuLEEzH8jifntYb/trNtsVrNGwPFtmzNoymyvMXIXQWBpAwaLgG25Jt2I3IaAAUdlNg2Tz1kmi0rhBpVF1aXP15VsNk440zdeie+eHbdmBboOueSyPqPoVd1gv/rukGxYXxIviYd+nktbKuy3jc6+vNJ2S3ZKX4fFLxLkGkCiiQDst4nMvnSy3aaFKs0DOscXD/3tzHNyOb45+ssmS/b8w61nN/6cUC4PfFWQS2xaHvY7zaPtrPQ8Ir0W5r8pEfkc9tvOSLLZpnUHKpV0f/kxx4b/97K/CpoXbLHu0N4Xfc1FwKCvPXN/vcjJcRsCBhyV5jRMPpvZzCMHg3UeZbJXvPGax6xLadivjS78ro1baS3Ybx5Rslv6eQHywU2/f91UYnywQqCgiVB+OuxXx4zstu3t7GibeNlAx7OUFOzXTjLOIagE+GI7R48m7NdGL9purt02XQ1BryYy7emw33Y+MZfsFesOkQb2KQEEDFIiPTsnR8dtCBhwVOS0OICTZO4gHh+2sBAgc+YkMGhzVNrTyF7bFgDatWdz8cbrLBNtCuxXS2pWDn53lsm8U2C/NuJkuxQ8oDen9ty+8vcK7rht5d+O1cJoTrDm8JW/a3DEkeEtl/x5eNt1X8TXBDbMohbsV0S0KkD2iod+Hat5SsF+/bTbfPGt9+4OxzzxSau+mHzyupM2Nv6RZH9Nlq8E2K+9zzH/tbMrpQn71ZMke8W6g57XskgiYNDzniYnx20IGHBU8tImJ5+f/+vLw5OPfSS7EIDJZx5XThqDNUdFnxZtFW+86pmVlIT9lqMZbVlagIXfLccc9luOJVcS+HJUyqWBbz5LPPTnM+tKA/bbFdl95YIv+HZLoFzpmP+WY6ktCf5BS2paLtoq1h2muSzrGQIGPe95cnTchoABR8WXhkHFx0/SBl+JkC4/DuKaBdf1m07DG686rKIU7FdE5BIAXxc+URl8RUQuAfB14ROVwVdExArE+QIe+lk8c0uE/XaLGnzBt1sC3ZYO+wXfbgn4So/ziKZ1h3++6Rvhab/zgtUvbrHu4GPdV20EDPraM/fXiwYRbkPAgKNiT8NgbWen0QRfDSW7DPja2Wk0wVdDyS4DvnZ2Gk3w1VCyy4CvnZ1GE3w1lGQZ6aE//rwW7fHQL/PUSsB+taRscuBr46bVAl8tKZsc+Nq4abXAV0vKJge+Nm61aSFg0PMeoxuR2xAw4Kj40uD0fPwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHrwZtBAx63kt0E3IbAgYcFXsanJ2dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752djVpImDQ896iG5HbEDDgqPjS4PR8/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18evBm0EDHreS3QTchsCBhwVexqcnZ2dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2NWkiYNDz3qIbkdsQMOCo+NLg9Hz8JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx68GbQQMet5LdBNyGwIGHBV7GpydnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnY1aSJg0PPeohuR2xAw4Kj40uD0fPwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHrwZtBAx63kt0E3IbAgYcFXsanJ2dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752djVpImDQ896iG5HbEDDgqPjS4PR8/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18evBm0EDHreS3QTchsCBhwVexqcnZ2dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2NWkiYNDz3qIbkdsQMOCo+NLg9Hz8JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx68GbQQMet5LdBNyGwIGHBV7GpydnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnY1aSJg0PPeohuR2xAw4Kj40uD0fPwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHrwZtBAx63kt0E3IbAgYcFXsanJ2dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752djVpImDQ896iG5HbEDDgqPjS4PR8/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18evBm0EDHreS3QTchsCBhwVexqcnZ2dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2NWkiYNDz3qIbkdsQMOCo+NLg9Hz8JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx68GbQQMet5LdBNyGwIGHBV7GpydnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnY1aSJg0PPeohuR2xAw4Kj40uD0fPwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHrwZtBAx63kt0E3IbAgYcFXsanJ2dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752djVpImDQ896iG5HbEDDgqPjS4PR8/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18evBm0EDHreS3QTchsCBhwVexqcnZ2dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2NWkiYNDz3qIbkdsQMOCo+NLg9Hz8JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx68GbQQMet5LdBNyGwIGHBV7GpydnV2quff228Kuq64Ie++4Ley5fcfqfu8dO8Kaw49cFV1z+FFh7RH7jvffdHrY78SNaRE4zyQA+80ElikOvpnAMsXBNxNYpjj4ZgLLFAffTGCZ4uCbCSxTHHwzgWWKg28msExx8M0ElikOvpnAMsXBNxNYpjj4ZgLLFAffTGCViiNg0POOoxuR2xAw4Kj40uD07Pzuu3572H3d9rDr6o+tBAh2ZBVEgQQKGiB4kIVtRhj2O4OkaAL4FsU5Uxj4ziApmgC+RXHOFAa+M0iKJoBvUZwzhYHvDJKiCeBbFOdMYeA7g6RoAvgWxTlTGPjOIMlOaHtZ8ZZbbgnHPPFJeFkxm6pOAfar41SzFAIGPe89ugm5DQEDjoo9Dc7Oxo4G6J2XbFsJFFxhK2BCKwYONpy1Jaw54qiJHBxKBGC/EiFfPvj6+Ena4CsR8uWDr4+fpA2+EiFfPvj6+Ena4CsR8uWDr4+fpA2+EiFfPvj6+E1qty1qkxy+wJ+kJR/HlxV3XrpNFk4k4poDXlZMwGSewj9kAqtUHAGDnncc3YjchoABR0VOaxusEYGW+U1K7Lx4W7AM0pNlcMdxED9w6wVcNtIaCGDQbgBjSG7zE1QcJvUGqIIK7FcA5MwGXydAQR18BUDObPB1AhTUwVcA5MwGXyfACXXMzyZgzOkQ9msHHRe18QW+nWGqSUzvvepjRV5WpLLXn3IafuUghZxxDv+QAatSUQQMet5xdBNyGwIGHBU+LQ7WlsXtuHiNCPQ027vOOiPsvmH7dOLEGQ2+tKi67qSNYe3KTw6tPfLosGfHrasSe1Z+sihO+NvKWHfCxnDQ1vPxtcEE16ZDDNZNZPTp0U9gUq9nZpGM9z7+xomFnk0H/sHGTasFvlpSNjnwtXHTaoGvlpQsh/FNZmSRwPzMQq2MDvyDjSP5AnyBb2PXpnXP1tcXCxRMXieu9+BlxUkq8jH8g8xoCBIIGPS8F+lG5DYEDDgq02mIQE/zKHFGTGmw5v5OAS3wr9902sq/09lLcYMKTaioTPojyVzwgAZwGrzxh5FZpFOJHN8pAZywBDCpZ7EUTcTDflGcpsLgH0zYWCUsCrJYOk2E/XaKN4CvnS/GNzs7SRPzM4nQfPLhH/I44wv8PF4aafKzxJVbK4j66cuK9PPG5EOOOeaYcPO116heVqR1h0MuvgwvK0aoij38gwJS5SIIGPS8A+km5DYEDDgq4zREoMcsSh3RYH335jNmiqPBlf7uQFOggBQ0g8mulc8L6W2MNBiBoMEM8pkEDd8ZJSSsTj4tXx5J6MhmKci17G+q4GFfspT55MM/+DnHRUGLv4j+AF8qyv2AYIzMqLQE/IONKMY3GzetFhZdtaS6lYN/yOOLL/DzeGmkm9YfSLerlxWldQ1NvZdBBv5hGXp5ZR1vZeH5f5ejqXW2km5EbkO3cVTC6tvqiEDzbLypd276lZnFfBqoD7nkMlXRmkGl6QGMFlwQ8W/HrOHbXsJy5WJS321/42G/W765pcM/5BLbJ08PqvitXBs7rRaCMVpS3cnBP+SxxfiWxytXGvOzXGLdysM/yHxpHMMX+DKnXImmYAGtP2zYvEX1CwRt9ksvK3K/ckDrDgga6Hqrja+uBEj1nQACBj3vIboJuQ0Bg1kqTYMKSSICPcsrJ4WbvNOnf9o3qHMGk/iGYfomZ05wIqdtQ5DN4TuE9nraYJnUt/Ele6UyuQkn1ZMmncv2s1qcv5jss/SzYfyNk0k65Y/b7Lf81YZTIr5U7LYvyW8iGNMtY03p8A8aSmMZjG9jFqWPMD8rTdRfHvyDzJDsFl/gy5xyJZq45qwHaOwXLyvm9sxYXsN3LI2jWgkgYNDznqMbkdsQMJim0jaoIAI9zSr3jFs0yQkWxOvlDircG1yW68brD32fy3foPLj2NfkJzZskGr7L/rNaxBdvWHGWt/g0jf0uvpb9qAHZce6Xipag1zJ/OcfNK0r0PjHFz8Hlk4R/kJlhfJMZeSQwP/PQ61YX/qGdL77Ab+djzeW4Hnju+a0/gcxdS2u/9Ax3z3lnTxWxzPO0KRAtJ1q+LUUgq+cEEDDoewchYCD2UNMkExFoEZ0oQFH3O5/9lCm5HK5R0TKYcBF/DNyR6PTewne6hOU44yafGnvO4cvZLdEduu02+WFqt/RZr4bvsgdjPHeohq+n/CHpNtkxtZF8xfpNp808rLbxJX9AZbZ9gSTdH0Pji2BMv3q0zX77VdPF1abJL2B8K9cnmJ+VY1myJPiHdprcF0c5L7fl8KX5BM0lluELfI7rwSt/jJheCMjZcvhSuVzQIKc/c+o2BNlcvkNo8zK2AQGDnvc63Yjchi8MxlS4SSYi0GM+nqP0LUB6ODrsqi+YirQMKjQ5umvlDy1P/iFkDNw8fgtfvqRhpnKTzxxbyuG7TJP6aC2cH9YEY6K+hi9xpT+MvuvqK6La6n7owZipxhpPNHyNRQ9GrWlRkOxY+lJRw5ceRLnAgWbRcQiQm/hS25qCMbHdHF/yBwjGREK+PcfXV+KwtDG+ddufmJ91y9dbOvwDTzB9RiapnOeKWGou36F/gc/NFSxcS/K1BCvi9Ye+z7XfofMYYvsQMOh5r9JNyG0IGOyjwk0yLU4919ktQwSaHsbTrwssgRjqqVy+kzafsqbFlWX7TfhJHtyxhy9X3tDSvJN6K9+hT+qjnXB+OGdyn8N3GYMxkbN1n8PXeo3a9bgHVGqTJuiVw3dZg15tfBGMWezdk2O/i63pYq6O8a1b7pifdcvXWzr8A0+Qe0bWzBfS0ix8uXnEkF6cSX2uhWvkbOX7w61nh903bI/FqOaCI+ElOrDwXSI8g2kqAgY970q6EbkNAYOw+mZZ+keGchapUq65To9bDLQEK9J69OU8ncTTZMT6dQG1KZfvJId08uDp58lyh3Ts4TskDmlbMKlPiZQ9T/0ElW65P3Ptl/O/luuWpdHf0nL59rcl3dSMe4M4J0CeyzcNhFOrhvTAP9lLbcGCQy65bFK08VjDl1tEoQKHyrURliFDw9dQbPUqGN+67ULMz7rlW6p0+IdZkqlv8DwjW/jSvTPEL/C5uZF3bcXCl5u3eOsxa0XDSLHwHUbLl6cVCBj0vK/pJuQ2BAxCSBeREYHmLMWeli6g5CyepFf1DibpBMIzMUvrNoRzL98hMGhqQ4lJvYfvUCf1xBsP+01W1690j/32qyXd1CadS9BVch4MrXzTcY2uO8SgVzqXoHbmzCdy+XJcETQg6vyWy5cvZXipGN+671PMz7pn7L0C/MMsQc435IxpkyV6+KZjHY1ztX+Bn/oE75zIw7d0XSb7fSjHHr5DYbAM7UDAoOe9TDcity17wCAdJIlRzgM+x9Ti9IYageYmQw+67mYOmzrNwjcWztXH29+x7KHsPXyHwiBtB2c3mNSnlOzn6WTaE8iz2C/17xDfsLL3SLOmhW9zacPJ4cZwywOqlS/3pcyQxjZvMCZaWi5fbo5o6dd4/aHvc/kOnQe1D+Nbt72M+Vm3fEuWDv8wTbOkb6CSPXzTMbb2ce57Jz1qCvZhV/5jWHPEUVNpuSdWvqmP8jzj5Na5Jnkr35rauOx1RcCg5xZANyG3LXvAIB2svQOkx9mVrgvX3/NOSxcxFsk3tn1ok6LYrhJ7j/2WuH5fy0jvTetkrwTfodlvOpEmG0Awpp93Qgn77WfL/LVK70vLl4oevnQfDfW3chGM8dvnPErw2O886reIa2B865465mfdMy5xBfiHWYrpV3PWuS+V7OWbBsetzzmzrZx/CjdnWOTLikQgnSMO6YWOEj3std8SdUAZ3RNAwKB7xq4r0I3IbcseMEAEmrOKcmnpRN4zGYq18g4q6aTIG8SI9RrK3st3KBwm24FJ/SSNssepj/A+pHjsN53QwzfM9rWH72xpw0hJxxRqlfVh0MOXe0i21qNPPZPel5ZgTGyPhe+QgzGRS6m9hW+pa/exHIxv3fcK5mfdMy51BfiHMUkumLjIRW2uPrXOH1K/u+HMLWHD5i1j+MYjj/2m80Q8X8x2gofvbGlI6SOBpQwY/PjHPw7vfe97w7XXXhtuuOGGsHv37vCQhzwkPOEJTwgnnHBCeMYznhGOPfbYXvQX3YTctswBA+7hepGDNfVP+mBc62Adba10e0oMJmm/exYfYjuHsi/BdygsYju4SbTVT5Tgy9WnZj+Bh/1oaf3fl7Df/rcyv4bpw6n1QbAE31J1yafQjUb6kE1Xsfo7D9903uCpRzekFl+qh+/ia99NDTC+dcM1lsrNhzA/i3T6tYd/mO4PfIE/zaPkWToPwsuKJel2Uxb8Qzdc+1Zq1QGDO++8M3zpS18KX/7yl8PNN98cDj300PCoRz0q/OzP/mx4/OMfz7Levn17ePGLXxy+9rWvsfmUuH79+nDBBReELVv8Uc3Giygz6EbktmUOGKQDCiLQnIX40tKHpUX+hmBsSfqA4X2jOfvCxLkAAEAASURBVJY7lD0G7emexKR+mkfJs/RepLKtD/uxXh775epjXZyM9Rna3sN3aCxie0p+qejlm9pw7eNbOk+zBmNiX3n4lq5LrNOQ9h6+Q+JAbUnvRUrD+EYUym2Yn5VjOY+S4B/GlNPxBIvaYzbeoy7WHqhOHvtNXzrAy4qzvezhO1saUvpIoMqAwd69e8OFF14Y3vjGN4Zdu3axXH/lV34lvOUtbwlPfvKTR/n//u//HjZu3BjuvffeUVrbwSmnnBL+8i//MjzwgQ9sE+s0j25CbkPA4IoRFgzWIxTFDtKFlEU+LMVGpQ9xtS+oxHaV2GOwnqVYclJfim/61q13EW221fNJwcP+fDiXukop+y1Vnz6Ukz4EUp2s41wpvqW/7Fsk53QO4XnpwMsXc4d2S/DybS+9vlyMb933GeZn3TMudQX4h2mSpcfpEnzT+Uyti9pdBAy8fDF/mLb/9MzLNy0P5/0kUF3A4O677w7PetazVn9OSEJKRnz55ZeH5z//+YF+huikk04KX/nKVyS1qfwzzzwzXHLJJVNp8zyhNnDbMgcMuhhQiLHH6Q1lsI62lj7sWxdSYnlevrGcLuoVy65977Hf2tvO1R+Teo5KmbSSD/uxRl77HUowJvIovffyLV2fRZeX2rD3S8USfIdiw+l8iPraO4fw8i09Hizafktf38u3dH0WWV7qG/BSUvneKH0/lrDf1G/Vuuhavrd8z8dd1GeRZXaxBuG136Esanf1jO/l21W9FmnHJa/t5VuyLiirGwLVBQzOOeeccP7556tp7LfffuFzn/vc6t8q+MM//EO1XhRcu3bt6s8eHX/88TFprnu6CbkNAYMdIyyeN9diIV5nN5TBOvIoPSHy8qV6DY1xZF1iX4JviXr0qYySNlyK71BsGA/7fbJ0uS6l7Fe+Uj0SJRcFS/EdSsAgZYtgTL/vi1L22+9W6muH8U3PyiqJ+ZmV3Pz14B+mmZdePC7BdyjPFiX9Quy1EnxL93ms2xD2JfgOgcPQ21BVwOCb3/xmoIX7pp8hauqsX/u1X1vN+sxnPjMl8rSnPS0873nPW/17B/T3EOiPIP/Jn/xJ+NGPfjQlRz9NdNVVV02lzeuEbkRuW+aAQVeO2+v0uqoX1/9dp5V+YKL6evni7Z/2XvfybS+9vtzS92MJvpjUN9uRl+9Q2DYT8uV4+fqu3j/t0g+mJfgOZYxLAwZ4Q7t/9p/WqIT9pmXWel7aNxAHL9+hjW+Yn9V1d3jtt67Wtte2tO3S1Urw7aJe7STK53ax9uDlO5R5WfneGpdYwn7HpeGojwSqChi87nWvC+94xztmOD796U8PFBR4wAMeEG688cbwqU99KuzYMX4DfUZhJeG1r33t6pcKa9asmcr+z//8z3DqqafO/HTRLbfcEh72sIdNyc7jhG7Cpo2CBvEmXab990/55bD3jnH/0hcGa488Oiyax3dPfORUV9En+LX2y3uP+anw/AcfPGrPH/z3/xcu/85dC23Pj973rrDz0m2jOtHvvx903p8svN8XbXe4Pu8H+3o/9rVeOXaUPpg8+PpvLPw+3LPj1nDns58y8g/0N04eePU/LbxeOVxrHS9qrHcf5xEPX79f+Lefe/jIhm+9d3f4+S/990LHXYv9fvFxjwhH779u1I4n3HhLuGXXfQttx73X/Wu4e/MZozrRz40ceunl8A9L+hzRZtcY336i8/uir/OgvtarzV5rHH9rbk8fx7ehzH9/cOYLwu4bto/G6YMvvizsf9ITO/dHbfZ48iEHhCuPPWJUp3+5+8dh09dvW+h8pq2+i/IHI0A4GCSBqgIGmzZtCldfffWoI2ix/7LLLlv9GwWjxJUD+lqA/vbARz/60cnk0fFv/dZvhb/5m78ZnacH27dvD7/0S7+06qBi3mc/+9nwq7/6q/F0bnu68bmtj85iXk7qquOOCk86+AEjLM++6fZwzV0/WqjzHtrD6I+v/Gi457yzR4z7sDifBjEuuP374f++/bsL7fdlvg/ndb9br4NJfXcP/X19qO5rveAn+KDeIrn0cVGQePS1Xjl+GMGY/tl7Tv8t8r7sQz37Oo70tV4We8H8rLv5maU/+nDf1VJvLGp3N76lz/n/z3fvDq/4r/9Z6HP+D899Xdh19RWj9RD6icUDXv7qhQYx+nq/jiDhYHAEqgoYPOYxjwlf//rXR53w6le/Ovzpn/7p6Dw9oD+O/Pd///dpcvi3f/u31Z8hmsmYSPjt3/7tqaDCe9/73vD7v//7ExLzOSSnwG00sC7r1sUna9H5WpkO7ZO10p8/e/lSv6QLKSX+doW1v/umV4Jv39rkrU9JP1GK71D8ROmfbCjBt7TP8tpfn/RL8O1Te0rUpaQNl+SbjnPePxZcglVuGaXbUIpv6XrlcumrfCm+fW1fbr1K+ga6dgm+QxvfMD/LtcrFyZew38XVvvyVS//kXgm+Oy/eNvMF/oFbLyjf+I5LTP+OE30pfNhVX3Bd1cs3HQ9K/MSiq0E9U/by7VlzUJ0GAtUEDPbs2RM2bNgQ7rvvvlFT/uu//is84hGPGJ2nB/TzRI9//OPD3r17R1knn3xy+Od//ufRedPBu971rvCa17xmlP1Hf/RH4cILLxydz+uAbkRuW+aAQTpY09vvJQZGj9NL6+T9I39cn887reSEnuru4dvFJGLePLu+nodv13VbRPnpPemd5JXgO5RJfWnfQPbh5TuUYExX94qXb1f1WlS5pW24BN+h2HD6gF0iuF+CLwIGzXdbCb7NpdeVU9o3UOu9fIfiG6IlYH4WSdSx99pvHa3U1TJ9Hi2xBuHlm95Pta5BpIFR6hH6WaL9Ttyo65wGKStfrj41vsTRgKVYspVvsQqgoM4JVBMw2LlzZzjggANGQCh4cM8996xOwkaJzMGTn/zkcM0114xyzjrrrHDxxRePzpsO/u7v/i78xm/8xij7N3/zN8MnPvGJ0fm8Dugm5LZlDhikgzUi0JyF+NNKcvYOJukDXK2TIX+v8CV4+fKl1p2a2q9nUl+K71Am9Wk7EIzp971Syn773cq82qVjiuehtBTfoSwKlmRLvVqC71DY5lm5TroEX92V6pDC+NZ9P2F+1j3jUleAf5gmmS4ie9cgSvBNg+ElgvTTrZ7fWTp/8Dy7Ua09fEvXZX4U53clD9/51RJX8hKoJmBADT3kkEPC3XffvdpmbcDg937v98IHPvCBEae3vvWt4Q1veMPovOng85//fKA/phw3+vsJV155ZTyd255uRG5b5oBBOlgTH8/DfuRrdXpcfYYQgeba5VkYtPJNHyxK9Xfs96HsrXyH0v60Han9YlKfErKfp/ekd0JPNfHab7rIg6DidP96+U6XVv9Zai9eGy7BN61TrTacPmQvcn4WLRUBg0iC35ewX77k+lIxvnXfZ5ifdc+45BXgH6Zplh7jPHxTf+V91plu6fzP0vZQDbxzCAvfdM5Qoh7zpzmfK1r4zqdmuEopAlUFDI477rhw0003jdou/SQRCb797W+fChD81V/9VXjhC184KqPp4IMf/GB46UtfOsqm4z//8z8fnc/rgG5CblvmgAHxSAfrRT7sl64L19+LSksXMKwTEc9gkv68gbevF8Wyy+t6+HZZr0WXnd6b1klnCb7pJNh6Ly2aKV0fD/t96AV9HUrYr/5qdUiWvB9L8U3HOk+AfpG9kM4bvGN2Cb5pnWoNxnTRryX4dlGvRZWJ8W0+5DE/mw9n71XgH2YJ9mn+kN5HQxjb0jatO2FjOOSSy2Y7QpFitd+SdVBUs1oRK99qG7ykFa8qYEA/CzT5lj8t6r/4xS9u7bqLLroovOIVrxjJfOQjHwnPfe5zR+dNB//n//yf8La3vW2Ufc4556wGH0YJczqgG5Hblj1gkA7WxMi6GBj5Wpze0CPQ6YMTsbIO3Ba+6YBN16/5U0uqf1ebhW9XdelLuamf8CzSe/mmtlz7pD5tzyL8b7Szkv0cyxza3mu/Q+PBjW0eG/by5epT65eKXdyPXr5DCcZ0dR96+XZVr0WVi/Gte/Il/YTXftP+rn1+Vrr3vHxL12fR5XHjtSfAb+Wb3kPExTOPWTTXeH1ubcVzT+byTf3BULhGvqX3uXxLXx/ldU+gqoDBJZdcEjZv3jyicsIJJ4Trr79+dM4dWAMGj3vc4wL90eS4aYITUbbknm5Cblv2gAExSR26dSGbyrI6u5J1oHr0cUv/UCvVMXfgtvBN3wi0XLePPLuok4VvF/XoW5mlJvVevkOc1KdtQjCmb9Y/ro/XfsclDesoHb+tb8KX4FuqLn3oIc7vehYxvHy5+tQajOmif718u6jTosvE+NZ9D3D3pWXR1Wu/aV9Tyz3+qnty872Cl+98azu/q6XPqNY5sIdvGgi3zmHmR01/pZQvaeauPZBOLl8uWDEkrsSk5JbLt+S1Udb8CFQVMLjjjjvCwx72sLB79+4RIfrjxL/+678+Ok8P3v/+94czzzxzlEx/uJi+VGjbKFBAAYPJTfPzR5PypY7pRuQ2BAxC4Jy6ZTCJfHOdXvqAT+UMcZJJk/qdl2wLu66+IqJa3eeyzuHLTRQ8AaGpig/0JIfvQBGwzUptCZN6FlN2YqmH/Xhhq/3iYT8SbN9b+baXWnduSdvx8OXmMrXPJdL5kfeB28O3dF3qtnq+9h6+fIl1p2J8m0//YX42H87eq8A/zBLkfIT1OdXCNx3XqIZD+gKf+N61+Yyw944dI/j0/Lb+lNPDhs1bRmmaAy1fbi5mfWbU1GsoMlq+Q2nvMrajqoABdVD6R4yPPfbY8KUvfSmsX7+e7b977rln9Y8ef/vb3w4Pf/jDw4te9KKwbt06VjYmptd49KMfPfW3E6LcPPZ0E3IbAgb7qKSTTUrNXcgmnVxnxw0q3gdiqkdfN27gprpqJ0c5fLlJEAbsdsvI4dte0vByS0zqPXw5ex7KpD71v9b71MN3yG9YlbobPXxL1aGv5aT3p3ZMm2yPl2+JOkzWpw/HCMb0oRd0dfDar+4q9UlhfOu+zzA/656x9wrwD80E8QV+M5sSOZx/oHJz1lu09pvOw2L9a395I7ajq72Wb1fXR7nzIVBdwOBb3/rW6tv/P/jBD0aEtH/IeKTQcvDNb34z0B9XnvyK4YILLgive93rWrS6y6IbkdsQMNhHhVvIRgSasxh/WtPATbw3nLUlrN90eutFpEGFFhjoS4bJtwligRiwI4nmvcS3WXP4OZjUd9PHnE+wLLhS7Sz2y03whxKMKd1jFr6l69DH8rjg/zxeOogsOBseyniXts3qG4iV1X5L1iH22RD3Vr5DZBHbhPEtkuh2j/lZt3xLlA7/wFMkH4Ev8Hk2pVK5ORqVTWsPB269IOx34kbxUm32S+VTcBhrDyLGRoE2vo1KyKiKQHUBA6J7zTXXhHe+852BggYHHHBAOPfcc8NJJ51UBPyb3/zm1fJiYQ996EPD17/+9XDYYYfFpLnu6SbkNgQMxlS4ST3lIgI9ZlTqiFinnwjGstsG77bBpC1Q0FZmvC729sWUZWHnndS32W8Tw/TtRJLzLJg1XWfR6XjYX3QPyNe32K9c6nAkuHs1J2hg5cs9COfMW/reA1z7crjG9ln5psECKm8owZjIpsTeyrfEtfteBsa37nsI87PuGXuuAP/QTq/puVg738/hy41p9Jx82FVfaK9k5bncXCI2iTjTTxQ1BQ6a+FKZ5N9337A9FjW1x1xhCkfjSRPfRgVkVEmgyoBBl6Rvuumm8Bd/8RerwQgKErzgBS8Ixx9/fJeXbC2bbkRuQ8BgmkrTYJKz4Nzm9Kh8RKD3MW+a3MceIeY0cK9b+bfmiKPC2pVz2hPfPTtuDXtWfo+Qyti9wjT9uwixDNprJ1uTOst83Ga/y8wlth2T+kii7L7JH+QuDObYL7fAC3/R3q85fNtLGl4u5xtoHMv5rdxcvtycZYgP/ty9musbyOJK8B1SMKb0XZjLt/T1+1oexrf59Azng+nK2nE9x36XddHV05M5fD3XqVWX7PfOZz9lpvo0puML/BkspoQmHxELi2sP+9//awdx7YHyH75+v3Dztdeo1x4O2nr+6rpFLBv7dgLwD+18hpCLgEHPe5FuQm5DwGCWCvcAHqUQgY4kyuxp4N511RVh56XbyhSYlIIH+wSIcIrBWgB0f7Z1Uq/l2/a1zJDfVmmayONhX2eXXUtp7bfrevS5/CbfoBmLcvlyC1bEZog+gvMNCMb0607Itd9+1b772nA2TFfF+FaWfZMPlhZdtfa7rPMzby9p+XqvU7t+k5+gdpENN/18ThvfNpttK7N2lk31J8bcT0A1yeema+Z7uWUOXb7Nfofe9mVqHwIGPe9tuhG5DQEDjkpYjR43/WQOadAAS2+/IwLN88tNLT1402BNb2PQFwnY8ghg0NbxwqRexylXirjiDatcavOTh3+QWTe9dKB5MNfwXdYvFZt8Q87DuYYv9fAyBWNki9ZLaPnqSxyWZJMNk2/AG8Tl+hrzs3IsS5YE/6CjSfbbtqAd1yDwBb6OZ5MUcf7h1rMbf06oSa8pnYK/+KqgiY6cDv8gM6pdAgGDnvcg3YTchoABR2VfmjRgN2vqcnIecnUl1i9FzGkxhL46aPo9wKZWxgkUAgVNhOR0DNYyo0kJyUdEm4yT+kf9XyeHW3bdt1oE6eJntSZpjo+JTVPAlpjiDasxq3kewT/oaTcFDaiEpi8VJb5U5rL/Vm4T1za/EHtN4ktyVD5+NjISy9tr+OaVOExpjG/z6VfMz+bDWXsV+ActqX1yZL/4Aj+PmVWaWFPggDasPVgp+vTgH3z8atFGwKDnPUU3IrchYMBRmU6LA0nuIDJdyvgMEegxi7Yj4k4P7/Q3CvbcvvL3Cu64beXfjlUVWhxYc/jK3zU4Yt9+/abT8DVBG8yMPAzaGbBWRDGpz+OllSaueMNKS2t+cvAPetZkw02BLyolBhQnv1Rce+TRgeZlpJsTUFymt9qaggbEtCkYQ3m0NdkvlbnswZh9hHz/N/H1lTo8bYxv8+lT4oxF1/mw1lwF/kFDaVpG8hXT0vIZvsBvZ0S8m9Yebr13dzjmiU8arT2sO2lj4x9Jbr8KcjkC8A8clWGlIWDQ8/6km5DbEDDgqPBpNIggAs2zmVcqBpNuSYOvnS8m9XZ2TZrEFA/7TXTmnw7/kM+8tF9Ia7CsXyoSVwRjUmtY7Dn8Qx5/jG95vDzSpf0wFl3zewP+IZ/ZpAbZMC1k4wv8SSrzO4b9dssafLvl25fSETDoS0801INuRG5DwICjIqfFgZt7+x0RaJmfRwKDioeerAu+MqM2iegbMKlvo5SXh4f9PF5dSsM/2OiSDeO3cm3smrRK+4X0OssajEk55JzDP+TQ2idb2o6xmN3cB8Qai67NfLrOgX8oQzjaMbcGgS/wyzDmSoH9clTKpYFvOZZ9LQkBg772zP31opuQ2xAw4KjY0+Ds7Ow0muCroWSXAV87O04zndT/17/+Szh6/3WropjUc8Ta0yJPBGPaOXWVC//gJ0s2jC8V/RwnS4hM8bORk1Tmfwz/4GOO8c3HL1c78o6Lrpif5RLMk4d/yOOVKw2+ucTy5ME3j1euNPjmEqtTHgGDnvcb3YjchoABR8WXBqfn4ydpg69EyJcPvj5+kjb4SoR0+enDPv7GiY6bVwr26yU41s+xYfxW7phb0xHxRDCmic580uEfynDO8Q34G15lmFMpsN9yLLmSwJejUi4NfMux5EoCX45KuTTwLceyryUhYNDXnrm/XnQTchsCBhwVexqcnZ2dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnapZs6CK4IxKT3bOezXxk2rBb5aUjY58LVx02qBr5aUTQ58bdy0WuCrJWWTA18bt9q0EDDoeY/RjchtCBhwVHxpcHo+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+NXgzYCBj3vJboJuQ0BA46KPQ3Ozs5Oowm+Gkp2GfC1s9Nogq+Gkl0GfO3sNJrgq6FklwFfOzuNJvhqKNllwNfOTqMJvhpKdhnwtbPTaIKvhpJdBnzt7DSa4KuhZJcBXzu7mjQRMOh5b9GNyG0IGHBUfGlwej5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr41eDNgIGPe8lugm5DQEDjoo9Dc7Ozk6jCb4aSnYZ8LWz02iCr4aSXQZ87ew0muCroWSXAV87O40m+Goo2WXA185Oowm+Gkp2GfC1s9Nogq+Gkl0GfO3sNJrgq6FklwFfO7uaNBEw6Hlv0Y3IbQgYcFR8aXB6Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjV4M2AgY97yW6CbkNAQOOij0Nzs7OTqMJvhpKdhnwtbPTaIKvhpJdBnzt7DSa4KuhZJcBXzs7jSb4aijZZcDXzk6jCb4aSnYZ8LWz02iCr4aSXQZ87ew0muCroWSXAV87u5o0ETDoeW/RjchtCBhwVHxpcHo+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+NXgzYCBj3vJboJuQ0BA46KPQ3Ozs5Oowm+Gkp2GfC1s9Nogq+Gkl0GfO3sNJrgq6FklwFfOzuNJvhqKNllwNfOTqMJvhpKdhnwtbPTaIKvhpJdBnzt7DSa4KuhZJcBXzu7mjQRMOh5b9GNyG0IGHBUfGlwej5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr41eDNgIGPe8lugm5DQEDjoo9Dc7Ozk6jCb4aSnYZ8LWz02iCr4aSXQZ87ew0muCroWSXAV87O40m+Goo2WXA185Oowm+Gkp2GfC1s9Nogq+Gkl0GfO3sNJrgq6FklwFfO7uaNBEw6Hlv0Y3IbQgYcFR8aXB6Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjV4M2AgY97yW6CbkNAQOOij0Nzs7OTqMJvhpKdhnwtbPTaIKvhpJdBnzt7DSa4KuhZJcBXzs7jSb4aijZZcDXzk6jCb4aSnYZ8LWz02iCr4aSXQZ87ew0muCroWSXAV87u5o0ETDoeW/RjchtCBhwVHxpcHo+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+NXgzYCBj3vJboJuQ0BA46KPQ3Ozs5Oowm+Gkp2GfC1s9Nogq+Gkl0GfO3sNJrgq6FklwFfOzuNJvhqKNllwNfOTqMJvhpKdhnwtbPTaIKvhpJdBnzt7DSa4KuhZJcBXzu7mjQRMOh5b9GNyG0IGHBUfGlwej5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr41eDNgIGPe8lugm5DQEDjoo9Dc7Ozk6jCb4aSnYZ8LWz02iCr4aSXQZ87ew0muCroWSXAV87O40m+Goo2WXA185Oowm+Gkp2GfC1s9Nogq+Gkl0GfO3sNJrgq6FklwFfO7uaNBEw6Hlv0Y3IbQgYcFR8aXB6Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjV4M2AgY97yW6CbkNAQOOij0Nzs7OTqMJvhpKdhnwtbPTaIKvhpJdBnzt7DSa4KuhZJcBXzs7jSb4aijZZcDXzk6jCb4aSnYZ8LWz02iCr4aSXQZ87ew0muCroWSXAV87u5o0ETDoeW/RjchtCBhwVHxpcHo+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+NXgzYCBj3vJboJuQ0BA46KPQ3Ozs5Oowm+Gkp2GfC1s9Nogq+Gkl0GfO3sNJrgq6FklwFfOzuNJvhqKNllwNfOTqMJvhpKdhnwtbPTaIKvhpJdBnzt7DSa4KuhZJcBXzu7mjQRMOh5b9GNyG0IGHBUfGlwej5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr41eDNgIGPe8lugm5DQEDjoo9Dc7Ozk6jCb4aSnYZ8LWz02iCr4aSXQZ87ew0muCroWSXAV87O40m+Goo2WXA185Oowm+Gkp2GfC1s9Nogq+Gkl0GfO3sNJrgq6FklwFfO7uaNBEw6Hlv0Y3IbQgYcFR8aXB6Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjV4M2AgY97yW6CbkNAQOOij0Nzs7OTqMJvhpKdhnwtbPTaIKvhpJdBnzt7DSa4KuhZJcBXzs7jSb4aijZZcDXzk6jCb4aSnYZ8LWz02iCr4aSXQZ87ew0muCroWSXAV87u5o0ETDoeW/RjchtCBhwVHxpcHo+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+NXgzYCBj3vJboJuQ0BA46KPQ3Ozs5Oowm+Gko6mb233xZ2XXVF2HvHbWHP7TtW93vv2BHWHH7kagFrDj8qrD1i3/H+m04P+524UVcwpBoJwH4b0RTJAN8iGBsLAd9GNOqMNr97yy23hGOe+CT4XTXNPEHYbx6vXGnwzSWWJw++ebzapNv8MOlh/ttGz5YH+7Vx02qBr5aUTQ58bdy0WuCrJVW3HAIGPe8/uhG5DQEDjoovDU7Px0/SBl+JUHP+fddvD7uv2x52Xf2xlQDBjmZBJocCCRQ0QPCAgZORBPvNgCWI4qFfANRBNuw3H2r0uzsv3ZatDL+bjaxVAfbbisedCb5uhK0FgG8rntbM6Icx/23F1Gkm7LccXsx/y7HUlgT71ZKyyYGvjVtNWggY9Ly36CbkNgQMOCq6NAzWOk4lpTCY2GiSre68ZNtKoOAKWwETWnEBa8NZW8KaI46ayMGhRAD2KxGS8+NDPxZfZValJWC/eUTJVu+96mNF/C5def0ppyFgm9cFU9Kw3ykcrhPMf134TMqwXxO2gPmvjVtpLdivnyjmv36G1hJgv1Zys3qYP8wyWZYUBAx63tPk6LgNAQOOSnNaHKzxhkozo65zMGjnEd558bZgWVyVrhIDBwduvUASRf4EAdjvBIyMQyy+ZsDqUBT2q4N7z9bXFwsUTF4RfneSRv4x7DefWdTA/DeSWNwe9pvHHvPfPF5dS8N+bYQx/7VxK60F+7UTjfMHy3pEnPfiFw7s/PuiiYBBX3qioR7k5LgNAQOOymwa3lCZZbKIFAzWedTvOuuMsPuG7Y1K9MYq/VbrupM2hrUrPzm09sijw54dt67K71n5yaL4FkBbGetO2BgO2no+vjZopDzOgP2OWeQcYfE1h1Z3srBfmS09FNEiVZvPTP0ufalFvvaYY44JN197jcrv0gPUIRdfBr8rd8lIAvY7QpF1gPlvFq7OhGG/eWgx/83j1bU07NdGGPNfG7fSWrBfG1EEu2zchqqFgEHPe5YcHbchYMBRmU7DGyrTPBZ9hkFb7gEaoGmSyf2dAlrgX7/ptJV/p7MFcXxpwYDKpD+SzC2E0eIVfWmAP4zMIp1K5PhOCeBkRMCy+GoJemHxdYRcPID9NiMie7178xmsgOR3o9IkX43fpZ+Ga/LlsUzsxwQm+Y5TcdREAPPfJjKLSYf9ytwx/5UZLUoC9qsnj/mvntW8JGG/eaQR7MrjtQzSCBj0vJfJyXEbAgYclXEa3lAZs+jDEQZruReaFq1oUVRaXNLw3bXym9z09xDSYASCBnLfaPjKpSyHRJMdU+ubFl/b+GLx1W83bXz9pdddQpO9kq1u2LxFFUxt40t+lwvYavx63WTL1b6Nb7mrDKckzH/71ZewX7k/mvywxk9q+GL+K/dBk4SGb5PusqU32TFxwPx3MdYA+9VzJ/vN/dIWL3vp+dYsiYBBz3uPHB23IWDAUQmrb1PjDW2ezaJTMWi398Cdm35lZjGfJpiHXHJZu+L9uRq+TT9RQA9l+JmMdswavu0lDD+36WFJs/iq4YvFV7sNafjaS69Ts81etX43tryNL/xupGTft/G1lzosTbJnzH/72aew3/Z+wfy3nc+ic2G/cg+0zSeklw80fDH/lfugSULDt0l3WdKb7Jfa3xTsimw4vnjZK9IZxh4Bg573I92E3IaAwSyVJmeHN1RmWc07hRtM5l2HPl+PeyOQfi9b+4eJc/jSIE5vvKZ/wCgnONFnll3ULYdvF9evocwm/6uxqxy+WHzNt4Ycvvml16vBLVIdeO752T8VpOVLD/z3nHf2FDAEa6dwsCdavqzykiQ2+V/MfxdvALDf9j7A/Ledz6JzYb9yDzT5X8x/ZXZdS8B+ZcJt9otgl8xvGSQQMOh5L5Oj4zYEDGapcA//msE6lqQZVLBYFWnl7zV880utX4P7rcCcYEEkkMuX+41jy3Xj9Ye+z+U7dB5p+zj/m7P4mssXi69pD7Sf5/JtL63+XG6R6uCVP0Zs/XsuWr6c3cLvyvak5SuXNEwJzv9i/tufvob98n2B+S/PpW+psN/2HuH8L+a/7czmmQv7babdFizQfmmr4Yv1s+Y+qCEHAYOe9xLdhNyGgME0Fe7hP+chXOPs4hXxhnYkod/n8NWXWr8k2dKdz37KVENyHvKjooUvN3jjbddIdHpv4TtdwrDPOP+bs/hq5YvFV51dWfnqSq9PintAypkvpC3O5csFa3Pul/T6Qz/P5Tt0Hmn7OP+bY885fDH/TenL5zl85dKGI4H5bx19Cftt7yfO/+aM51a+mP+290vMtfKN+kPfI9g19B4u0z4EDMpw7KwUcnTchoDBmAreUBmz6PMRBu3Z3kltlxbsD7vqC7OCihQLX3pgu2vzGVN/OyFnoUFRrcGIWPgOpvEtDSm1+Grli8XXls6ZyLLynShiMIfpA74lSJvCyOFLfveHW88Ou2/YPiqmRB1GhQ3wIIfvAJvf2KR0DkGCljE8ly/ndy3XbWzYwDJy+Q6s+WxzUtvF/JfF1ItE2C/fDZj/8lz6lgr75XsknQuTVE6wK5aayxfBrkiunj0CBj3vK7oJuQ0Bg31U8IYKZx39S8sdTPrXgvI14mw35xPWyRp5+KYDNz200d9OsP40x2S9hnLs4TsUBk3tSCecloVPD18svjb1zDjdw3dcyjCOUn9HrbI8IE3SsPDlFhq89Zis05COLXyH1P6mtnBziHn5X7r2zku2hV1XXzGqHr5QHKGYOoD9TuFYPeFsF/PfWU59SIH9NvcC5r/NbPqSA/vle4Kbg1qC/la+3EsHmAPzfdWHVAQMGnph79694atf/WrYsGFDOPDAA8NP/dRPNUh2m0w3IrchYLCPCt5Q4ayjn2nWQaWfrfHXqqTtUm08fNNJr2XS4CfS7xI8fPvdMnvtSi6+evhyE19MPKf71cN3uqS6z1K/W8rXWfh2VZe6e4ivvYUvX9JwUlP7wRva/e1b2O9035S0XSrZwxfz3+m+4c48fLnyhpCG+W89vQj7ne2r1O9ZXjaIpVr44mWvSK+OPQIGDf30ile8Ilx00UWruWvWrAnXX399ePzjH98g3V0y3YTchoBBCHhDhbOMfqZZBpN+tqRcrdLfDbS+XUU18vJNJ76ehYdyhPpTkpdvf1pStibpQ7918bUE31J1KUuoH6WV4NuPlvhr8b2THjVVyGFX/mNYc8RRU2m5J1a+6RwGfpcnb+XLlzaM1NR2qFXWOYSHLzd3wBeK0zbm4Ttd0nDOMP+tpy9hv3xflZpzluBbqi58S+tOLcG3bgKztU/HbZKwvmTl4YuXvWb7pq8pVQcMvvnNb4ZPfepT4cYbb1z9d88994Sf/MmfXP0a4DGPeUx43vOeFx796Eeb2G/atClcffXVI91Pf/rT4ZnPfObofF4HdCNyGwIGIaQDpPdh2+P00kitdeGM6+uhpHn4DoVBbAf3sP+g626O2aa9hy9XH+vkwVT5CpQ8fCtonqmKJRdfvXxTG/aOByYgPVby8u1x09RV4x5OvH43XtzKN507wO9GotN7K9/pUoZzhvlvXX0J+x33VzpWU47XD3v4cvWBHx73Fx15+E6XNJwzzH/r6UvY73RfpfMH75qVh2/puky3FGelCFQZMNizZ0+48MILw7nnnht+/OMft7I46aSTwstf/vLw0pe+dHXAaxWeyETAYAJGTw/xhkpPO4aplmcwYYqrPin97b5FDtYRZrpw5a1TLHcIe9jvbC+WXHwtxTe1YTz07+u3UnxnraCulPTBZMOZW8KGzVvcjfDwTd/0gt+d7Q4P39nShpGC+W89/Qj7ne4rzH+nefT9DPY720OY/84y6WsK7He2ZxDsmmWClHYC1QUMdu/eHZ761KeGa665pr1lSe7JJ58c3v/+94fjjjsuyeFPETDgufQllXsjBG+o9KV3+Hpg0B5zSReurD8lMC7R/wYQFq4mac4ew36nmaQ27F18LcEXNjzdR5NnJfhOllfjcWqzJfxu5GDlC5uNBNv3Vr7tpdaZi/lvff0G+x33WRd+2MsXfnjcP9yRly9XZs1pqQ1j/tvv3oT9jvunZLArlurli5e9Isn+7qsLGNCXBa997WtNRNevXx/e9KY3hde//vVh3bp1rWUgYNCKZ+GZeENl4V2QVQHvYJJ1sQqESw+OJfimkwjPH0CqoAuyqliCb9YFKxBOH5g8i6+l+OKhnzecUnz50utJTd/KLvH3C6j1Hr7wu7L9ePjKpdcngflvXX0G+53uL8x/p3n0/Qz2O9tDmP/OMulrCux3umdS20Wwa5oPzngCVQUMvvWtb4Xjjz8+0N8q8Gz0hcJHP/rR8KAHPaixGAQMGtH0IiN1eJ7Fqtgg76CCxapIkt97+fKl1pnaxcKVl2/61iJ+A37atrx8p0ur/6y0DZfgi8XXZrsqwbe59DpyStvsZKutfOF3Jyk2H1v5NpdYbw7mv/X1Hex33Gdd+GEvX/jhcf9wR16+XJk1p5W24RJ8Mf9ttqgSfJtLrysH84e6+qsvta0qYHDeeeeFrVu3zrA7/PDDV/9Gwc/8zM+ENWvWhFtvvXX1DxbTzxY1/XHgRz7ykasy9MeRuQ0BA45Kf9Lwhkp/+kJTEwzW05TS3w9c5M9pxZrhgSmSmN3DfmeZlHxgKsUXNjzbT5RSii9fej2ppf1ubLmXb1f1ivWrfe/lW3v70/pj/psS6fc57He6f0r7uxJ8MXeY7qPJsxJ8J8sbwjHmv/X0Iux3uq9K2i6VXIIvgl3TfdTHs6oCBs9//vPDhz/84SmOL3jBC8L73ve+cPDBB0+l08ltt90W3v3ud4d3vvOd4b777pvJf/CDHxw+9alPhV/4hV+YyUPAYAZJrxJKOzxqnNfpYcLZbiJevu2l15Vb+oGJWl+Cbxf1qqtnmmtbgm9z6fXllLaVUnxL16u+nuFrXIovX3odqV3MG2LLPXxhs5Fi897Dt7nUOnO6sGMvX8x/223Jy7e99Lpyu/B3Jfh2Ua+6eqa5tiX4NpdeX05pWynFt3S96usZvsal+PKl15WK+UNd/dWX2lYVMHjc4x4XbrzxxhE7+qLghhtuCA94wANGadzBV7/61fDKV74y/MM//MNM9kEHHRSuvPLK1T+kPJnZ94AB1ZW+nohOcNn26aD44Ou/sXAee3bcGu589lNGZkQ/6fLAq/9p4fVaZjvp633xxcc9Ihy9//jvqDzhxlvCLbvuW+j9DPtdXn9quU++f8ovh7137Bj5O/o9+LVHHr1wf/fdEx85qhMd0Nc7lvbBbw7vfrjquKPCkw4ezxeffdPt4Zq7frRQ+7j3un8Nd28+Y2Sz9LdjDr308oXfR7D//to/5r8/gfuj4uc/zH9hv7WPL5j/9nd8xHy/3b90NX8YTWKNB2m9vL+8YKwG1BoIVBMw2LNnTzjwwAPDrl27Rk259NJLw8te9rLRuXRA8q961aumyiAd+mPI9DcNTjnllFERfQ8Y1D7Yeuvf10WhvtbLyxv6ZSdHPzjzBWH3DdtH/ubgiy8L+5/0xIU+BJ98yAHhymOPGNXpX+7+cdj09dsWupgGuytrdyV5YvG1fVKOh5b+8YHf7a8/wf2iv1/6Os/sa71KjnuwU72dNnGHH4Yfrv0+wvzX7wea/APSu/UPXQa7RgsIhgMEDAzQ5qhSTcBg586d4YADDphCs3379vCLv/iLU2nSyXXXXRdOPfXU1Z8rmpTdb7/9wmWXXRae+9znribXEDCYrP+yHZf+pCpOXjwc8Ul2M70SfJtLry+n9B8dKsF358Xbws5Lt41grj/ltHDg1gtG58t8UILv0PiV/B3tUnzxO5i8lZXiy5deT2rqd0v5OA/ftE4bztwSNmzeUg/UOdTUw3cO1Zv7JTD/nTty1wVhv9P4Up934Lnnh/WbTp8WyjgrwRfz32bgJfg2l15nDua/9fQb7He6r0raLpVcgi+e3ab7qI9n1QQMCN6hhx4a7rrrrhFHWvw/8cQTR+faA/qjyM961rPCf/zHf0yprF27NnzgAx8Iv/u7vxsQMJhC07uT0g6PGuh1enB47Wbi5dteel25u676WLjnvLNHlS6xcOXlmz7EYeFq1D2rB16+06XVf5bai9eGS/BN6wQbHttZCb7j0uo8Sv0u/WzgYVd9oUhjrHzTxV/v4lmRxvSwECvfHjbFXSXMf90I514A7HeMPPXD3rkDlezli7nDuH+4Iy9frsya01J78dpwCb5pnTD/HVtYCb7j0uo+wvyh7v5bVO2rChgcf/zxgf4eQdwuv/zy8Du/8zvxNGv//e9/f/UniK699topPXIqF110Ubj66qtX/8XMT3/60+GZz3xmPJ3bnurDbfTJ1jJv6cDofcguMZjgDZVmiyzBt7n0+nJKf41Sgm/6OSD9Jv2aI46qD24HNS7Bt4NqLbTI9KHfs/haii8WX3mTKMWXL72e1NTvUs3p5+D2O3GjqxFWvlx98Luts11h5Ttb0jBSMP+tqx9hv9P9lfo9z9yBSi7BF/Pf6T6aPCvBd7K8IRxj/ltPL8J+p/sqnT8g2DXNB2c8gaoCBs9//vPDhz/84VFLXvGKV4T3vOc9o/Pcg3vuuWf154k++9nPiqoIGIiI5iqQDtZeh0eV9w4qqRNGdH/aJLx8p0ur/6x0lN/DN72fvA9w9ffObAs8fGdLqz8lfeinFnkWX718ufpg8XVsZ16+45LqPkr9bom5AxGx8O2qLnX3EF97C1++pPpT0/G6hA17+WL+225XXr7tpdeXm/o+z9yBWu/hm95PmP/O2pOH72xp9adw802PDXv5cvXB/HdsZ16+45LqP+rC33n54mWv/ttVVQED+hsDL3zhC0dUDzrooNW/RUA/VWTd6I8oUyDiE5/4RGsRCBi04pl7Zjo4eid4XmdHAPCGSrMZlODbXHqdOSUHbS/f9OENwa5pm/LynS5tOGep3VgXrkrwLVWX4fTOuCUl+I5Lq/so9bvUGs+DPulb+KY/YViiHlTGEDcL3yFyiG3C/DeSqGMP+53tp9QPe57hvHzTuQPmv9P95eU7XdpwzlK7wfy3n30L+53ul3T+QLmeObCXL1cfBLum+6wPZ1UFDOhnhI466qjwox/9aMTuvPPOC29605tG55aD3bt3h5e85CXhQx/6UKM6AgaNaBaWkQ7WHodHjfA4vZKT34UB7fjCHr4dV20hxXODpOentax8U9slGN57aSFAO76olW/H1Vpo8SVtx8MXi6+yGXj4yqXXJZHOHdadsDEccsllrkbk8u2iDq4G9Fw5l2/Pm+OuXmo/3jHbwzcdBzyLv24wPS3Aw7enTXJVC/NfF765K8N+Z5Gnfo8krH7Ywxfz39m+SVM8fNOyhnCezh+swa7IwsO3dF1inbAvS6CqgAE1/TWveU1417veNaKwYcOG8JWvfCUcc8wxozTLAf1NgFe+8pWrf7+A00fAgKOy2LR0sPY8pHicHVFIHR7eUJm2DS/f6dKGc5Z+xm+1YQ/f9FNA78RhOL0zbomH77iUYR6lvs+y+OrlW6IOw+ydfa3y8h0aG+4B2zNm5/JN7ZX4WhcahtY3XHty+XJlDC0N8996ehT2y/cV5r88l76lwn6beyQdyzH/bWa1qBzY7yz5dP5AEtY5qIcvNxe31mO2lUgpSaC6gMH//M//hMc+9rHhO9/5zojDH//xH4d3vOMdo3PPwTnnnBPOP//8mSIQMJhBsvAEvKGy8C7IqoBnUMm6UEXCnA1bJpzUZAvfdLJL5eCPHROF2c3Cd7aU4aVwEz7L4quVL2fDmHDO2pmV72xJw0hJF6uoVRa7jTS0fLn7BUHaSLF5r+XbXMKwcri5A75Q7G8fw35n+4azYcx/Zzn1IQX2y/cCN55b5hFWvpj/8v2Splr5puUM6Ty1HavvJSZWviXrMKS+6WNbqgsYEMRrr702vPWtbw133XVXoL9jQF8GnHLKKcX4XnjhhYECB/RTRbTRjfDlL385HH/88cWuoS2Irs1t9EUEthDSh368od1Pq7AOJv1sTdla7bx4W9h56bapQnMnnBa+6b1DFci97lSlB3xi4TtgHDNN89qSlS/3sIbF15nuMU/mZ0saTgotVt21+Yyw944do0bR/GH9KaeHDZu3jNI0B1r75ezVOmfR1GsoMlq+Q2mvth2p37XakocvvlCUe8vDVy69bgnMf/vff7Df9j5K/TBJ5zxLWfly8wnMf2f7ysp3tqRhpXD2k2O3kYaVbxosoPLwslek2r99lQGDeWC89dZbww033BD27t0bjjvuuIUEC6iddCNyGwIG+6jgDRXOOvqZZh1U+tmacrUiG955ybaw6+orpgrNHbhz+HITXM/bBVMVH+hJDt+BImhsVonF11y+3GTXumDW2LABZeTyHVDTG5vCzR9I2PLQLfHlHo7oWnhAIgryJvGVSxieBGe/1nHcwpezaXyhyNuZhS9f0rBSMf+toz9hv839hPlvM5u+5MB++Z7g1gJy1x6o5Fy+3PObZd7NtwqpXRBAwKALqgXLpJuQ2xAwGFPBGypjFn09yh1M+tqOrurFTTjpWtqH/xy+3EM+FlrbezaHb3tJw83lFq+otZpJYC5fzobpWlh8JQqzWy7f2RKGm8I9uFBrySceuPWCsN+JG8XGt/Gl8umhbPJLhlgg7DWSaN+38W3XHH4u5r/972PYb3sfYf7bzmfRubBfuQcw/5UZLUoC9ttMnvO9NPfN+dI2ly8358YaRHMf9SUHAYO+9ERDPehG5DYEDMZUyOHhDe0xj74e5Q4qfW1HV/VqmnDSQLrhrC1h/abTWy8t8aU/ckT3CRauWjE2Zkp8GxWXKIObCFLzNYuvGr5YfLUbk4avvfS6NZvsllpFQVv6iSIpcJDypTJpMXf3DdtZOAgWsFgaE1O+jYJLloH5bx0dDvtt7yfMf9v5LDoX9iv3QNM8AvNfmV3XErDfZsJNvlfzslcsVcsXL3tFYvXtETDoeZ/RTchtCBhMUyGHl/4eMUngDe1pTos60w4mi6pfX67bZMdUv7ZJZxvftkBBW5l9YdKHerTx7UP9+lSHpocmqmPT4qvEF4uvvh6W+PpKH4Z2m++lFpKvpKDB/vcHbteunK854qjVxj98/X7h5muvCVTG7pVAQfrzcpOE6B44aOv5I93JPBzzBGC/PJeY2mS7mP9GQovdw351/JvsmLTb5qptfDH/1bFvk2rj26a3jHmY//av12G/cp802W2b342lavhS+fjSNhKrc4+AQc/7jW5EbkPAYJYKTTbvfPZTZjLI4eEN7Rksc0/QDCpzr1QPL0h2zH0xE6saF67WrSxe0YJVXLgivnt23Br2rPwRTypDs3B1yCWXxWKxFwjAfgVAE9ltD/4kFm14cvF17ZFHBxrXSDfHhrH4OgG+5RD22wLn/izJ98oltEvkvLHVXtLy5cJ+2/ucbBfz33ZGi8yF/eroSz44zh0w/9XxLCUF+9WTJBv+4dazG78ujDaM+a+eqVcS9isTbAoakGbTy16x1Ca+VCa+tI2U6t4jYNDz/qObkNsQMOCohNXFJu5LA5KmQbrpN4mbnB3p4Q0VouDb2vj6Sh6mNk04d111Rdh56bZOGoiFqzyssN88XiQtPfjnlzitARue5tF2BvttozObJz3wz2q0p+CrgnY+Ui7sVyK0L5/sFvNfHat5SsF+82hj/pvHq2tp2G8+Ycx/85l1pQH71ZNtm0NQKQh26VkOTRIBg573KDk6bkPAgKOyL00aqKPDwxsqzQy7yMGgnU9VsuXcEmmRlb62iT+lkau/zPKwX1vvkw23vW2VWyoWX3OJ7ZOH/eZzi7ZLmk1/i6Cp1DjPgL9tIpSXDvvV8ZLmDNEuMf/V8SwlBfvNJynZcm6JmP/mEhvLw37HLHKO4hwid/7QdA3Mf5vItKfDftv5TOaW9ruTZdMxXvZKidRxjoBBz/uJnBy3IWDAURmnkcPDG9pjHos+wmDt6wGyZ/q0j2w6d+IZFwiwcGXvA9ivnV3UjA9OdA4bjlTms4f9+jlHH0w/9bbn9pWffbvjttEfkL/13t3hmCc+Kaw9YuXvGhx+VFh30kbxjyT7a7Q8JcB+8/oa8988Xl1Lw359hKPvxfzXx9GqDfu1khvrYf47ZjHvI9ivjXi02f+/vfuAm6QoEz/ebmBZclCUJcshJuIii4pElTtJAsKh6Il6ggpi4uDUP7oqBsCAa4ZTMIAZEPBOUDABCgKieKcklbRrIkhaFpad/zzzWvPO9FRPVddTNdPd8+vPZ3fm7a6nuvtbNdVdXTPdZftrRWtjsKtIph7zGTCoeDlJQ2ebGDCwqQzOkwZv2P3gByOGz+EbKsN9hi3loD1Mx3+Z6TzZLlzJ4IBcsDIXrubseyC/JvCnHZqS+juUp9TCMnWYi6+laAsTU38LaaIswDcKY2Em+BbSFC7g/LeQZuQLqL9xyMucO3D+G8dccqH+xrMsU4c5/43jTv0Nd5T6Kr8Sl6ns4AFfWAx3r1okAwZVK5Hc9kgjZ5sYMLCpFM8zB2i+oVJslHIJB+uUupzMp9XFF9/UAmnzp/3FN61A2typvzpfzn91ftpo6q9WcHg8vsN9tEvx1QoOj8d3uI92Kb5awel4cy7h84VFBrum3ZrwjgGDipeiNHS2iQEDm4rfvDINHt9Q8TP1ScVB20cpPA2+4XY+kfj6KIWnwTfczicSXx+l8DT4htv5ROLro+ROw/mv2yhFCupvCtXpPPGdtkjxDt8UqtN54jttkeIdvilUp/PEd9qiqe8YMKh4ycqH0DYxYGBTCZ9HYxdu5xOJr49SeBp8w+18IvH1UQp6nIhaAABAAElEQVRPg2+4nU8kvj5K4WnwDbfzicTXRyk8Db7hdj6R+PoohafBN9zOJxJfH6XwNPiG2/lE4uujFJ4G33C7OkUyYFDx0pIPom1iwMCmoptHo6fzc0Xj6xLSLcdX5+eKxtclpFuOr87PFY2vS0i3HF+dnysaX5eQbjm+Oj9XNL4uId1yfHV+rmh8XUK65fjq/FzR+LqEdMvx1fnVIZoBg4qXknwIbRMDBjaV8Hk0duF2PpH4+iiFp8E33M4nEl8fpfA0+Ibb+UTi66MUngbfcDufSHx9lMLT4Btu5xOJr49SeBp8w+18IvH1UQpPg2+4nU8kvj5K4WnwDberUyQDBhUvLfkg2iYGDGwqunk0ejo/VzS+LiHdcnx1fq5ofF1CuuX46vxc0fi6hHTL8dX5uaLxdQnpluOr83NF4+sS0i3HV+fnisbXJaRbjq/OzxWNr0tItxxfnV8dohkwqHgpyYfQNjFgYFMJn0djF27nE4mvj1J4GnzD7Xwi8fVRCk+Db7idTyS+PkrhafANt/OJxNdHKTwNvuF2PpH4+iiFp8E33M4nEl8fpfA0+Ibb+UTi66MUngbfcLs6RTJgUPHSkg+ibWLAwKaim0ejp/NzRePrEtItx1fn54rG1yWkW46vzs8Vja9LSLccX52fKxpfl5BuOb46P1c0vi4h3XJ8dX6uaHxdQrrl+Or8XNH4uoR0y/HV+dUhmgGDipeSfAhtEwMGNpXweTR24XY+kfj6KIWnwTfczicSXx+l8DT4htv5ROLroxSeBt9wO59IfH2UwtPgG27nE4mvj1J4GnzD7Xwi8fVRCk+Db7idTyS+PkrhafANt6tTJAMGFS8t+SDaJgYMbCq6eTR6Oj9XNL4uId1yfHV+rmh8XUK65fjq/FzR+LqEdMvx1fm5ovF1CemW46vzc0Xj6xLSLcdX5+eKxtclpFuOr87PFY2vS0i3HF+dXx2iGTCoeCnJh9A2MWBgUwmfR2MXbucTia+PUngafMPtfCLx9VEKT4NvuJ1PJL4+SuFp8A2384nE10cpPA2+4XY+kfj6KIWnwTfczicSXx+l8DT4htv5ROLroxSeBt9wuzpFMmBQ8dKSD6JtYsDApqKbR6On83NF4+sS0i3HV+fnisbXJaRbjq/OzxWNr0tItxxfnZ8rGl+XkG45vjo/VzS+LiHdcnx1fq5ofF1CuuX46vxc0fi6hHTL8dX51SGaAYOKl5J8CG0TAwY2lfB5NHbhdj6R+PoohafBN9zOJxJfH6XwNPiG2/lE4uujFJ4G33A7n0h8fZTC0+AbbucTia+PUngafMPtfCLx9VEKT4NvuJ1PJL4+SuFp8A23q1MkAwYVLy35INomBgxsKrp5NHo6P1c0vi4h3XJ8dX6uaHxdQrrl+Or8XNH4uoR0y/HV+bmi8XUJ6Zbjq/NzRePrEtItx1fn54rG1yWkW46vzs8Vja9LSLccX51fHaIZMKh4KcmH0DYxYGBTCZ9HYxdu5xOJr49SeBp8w+18IvH1UQpPg2+4nU8kvj5K4WnwDbfzicTXRyk8Db7hdj6R+PoohafBN9zOJxJfH6XwNPiG2/lE4uujFJ4G33C7OkUyYFDx0pIPom1iwMCmoptHo6fzc0Xj6xLSLcdX5+eKxtclpFuOr87PFY2vS0i3HF+dnysaX5eQbjm+Oj9XNL4uId1yfHV+rmh8XUK65fjq/FzR+LqEdMvx1fnVIZoBg4qXknwIbRMDBjaV8Hk0duF2PpH4+iiFp8E33M4nEl8fpfA0+Ibb+UTi66MUngbfcDufSHx9lMLT4Btu5xOJr49SeBp8w+18IvH1UQpPg2+4nU8kvj5K4WnwDberUyQDBhUvLfkg2iYGDGwqunk0ejo/VzS+LiHdcnx1fq5ofF1CuuX46vxc0fi6hHTL8dX5uaLxdQnpluOr83NF4+sS0i3HV+fnisbXJaRbjq/OzxWNr0tItxxfnV8dohkwqHgpyYfQNjFgYFMJn0djF27nE4mvj1J4GnzD7Xwi8fVRCk+Db7idTyS+PkrhafANt/OJxNdHKTwNvuF2PpH4+iiFp8E33M4nEl8fpfA0+Ibb+UTi66MUngbfcLs6RTJgUPHSkg+ibWLAwKaim0ejp/NzRePrEtItx1fn54rG1yWkW46vzs8Vja9LSLccX52fKxpfl5BuOb46P1c0vi4h3XJ8dX6uaHxdQrrl+Or8XNH4uoR0y/HV+dUhmgGDipeSfAhtEwMGNpXweTR24XY+kfj6KIWnwTfczicSXx+l8DT4htv5ROLroxSeBt9wO59IfH2UwtPgG27nE4mvj1J4GnzD7Xwi8fVRCk+Db7idTyS+PkrhafANt6tTJAMGFS8t+SDaJgYMbCq6eTR6Oj9XNL4uId1yfHV+rmh8XUK65fjq/FzR+LqEdMvx1fm5ovF1CemW46vzc0Xj6xLSLcdX5+eKxtclpFuOr87PFY2vS0i3HF+dXx2iGTCoeCnJh9A2MWBgUwmfR2MXbucTia+PUngafMPtfCLx9VEKT4NvuJ1PJL4+SuFp8A2384nE10cpPA2+4XY+kfj6KIWnwTfczicSXx+l8DT4htv5ROLroxSeBt9wuzpFMmBQ8dKSD6JtYsDApqKbR6On83NF4+sS0i3HV+fnisbXJaRbjq/OzxWNr0tItxxfnZ8rGl+XkG45vjo/VzS+LiHdcnx1fq5ofF1CuuX46vxc0fi6hHTL8dX51SGaAYOKl5J8CG0TAwY2lfB5NHbhdj6R+PoohafBN9zOJxJfH6XwNPiG2/lE4uujFJ4G33A7n0h8fZTC0+AbbucTia+PUngafMPtfCLx9VEKT4NvuJ1PJL4+SuFp8A23q1MkAwYVLy35INomBgxsKrp5NHo6P1c0vi4h3XJ8dX6uaHxdQrrl+Or8XNH4uoR0y/HV+bmi8XUJ6Zbjq/NzRePrEtItx1fn54rG1yWkW46vzs8Vja9LSLccX51fHaIZMKh4KcmH0DYxYGBTCZ9HYxdu5xOJr49SeBp8w+18IvH1UQpPg2+4nU8kvj5K4WnwDbfzicTXRyk8Db7hdj6R+PoohafBN9zOJxJfH6XwNPiG2/lE4uujFJ4G33C7OkUyYFDx0pIPom1iwMCmoptHo6fzc0Xj6xLSLcdX5+eKxtclpFuOr87PFY2vS0i3HF+dnysaX5eQbjm+Oj9XNL4uId1yfHV+rmh8XUK65fjq/FzR+LqEdMvx1fnVIZoBg4qXknwIbRMDBjaV8Hk0duF2PpH4+iiFp8E33M4nEl8fpfA0+Ibb+UTi66MUngbfcDufSHx9lPzSrFh8R7bsgnOyFUvuyB5bfGfndcWSO7MZ62/QyWDG+htmM+dNvV9p34Oy2fMX+GVMqkIB6m8hTekF1N/SZOoA6q+acGgG+A7lUS/EV004NAN8h/I0ZiEDBhUvSvkg2iYGDGwqunk0ejo/VzS+LiHdcnx1fq5ofF1C7uXDOvu33nprttlOz+VilZsxKAX1N4jNOwhfb6qghPgGsXWCHr3mymz51Vdmyy78dnuA4M5SGclAggwaMHjgZuP45jYKSUH9DVELjxlWjyVXBhXDbYsiOb4VycSZj28cx6Jc8C2Sac58BgwqWJa9B+tLv3p2tvGcWdlGK83Kbn9keWdrb1u2PNvjpS/rvOckvnwB9vryDavyfiERHExC1Owx1F+7S6y5+MaSnMqHzn5cT1du1F+XUPzlHN/0psPqLYOJYb5iuvS0Re2BgnPCMuiJMgMHc484Jpsxb8OeJZP9luNbuvKn/qazzeds6vHS0xflFzn/Nm0D1yOcVNYEnD9YWaLNxDcapTUjfK0sjZvJgEFFipSDddqCML58wyqtM53+NL6m/nIyn9aX9iGeL539eJaunEz7QP11SemWc3zT+eWjTb3luJaX0f+99HOLshBX15rNxcFVF57sStro5Rzf0hYv9Tetr8ld2uBHLvh2lEFFyXPOPgfyaySDW+KVi64lsAKS4huAVhAy7DxYQvgFUgFczWczYDDmAuRgnbYAOKlP6yu50+lPZ0z7kM5WcqZ9SONLZz+Naz5X6m9eJP7fHN/SmHKRKr6ryfG+Iw7Lll97pflz4FUu6kmnftYOC7KZ7VsOzdxgo+yxO2/vpHusfcsic0FgWB6ztl+QrbbwpIn8tQHHt4EqFXUG9TcqZ2FmDy48LtpAQe9KGFTs1eh/b9pWniHT7xLrL3xjSfbnw3lwv8ck/sWAwRhLnYN1WnxO6tP6cjE7rS/tQ1pf2oc0vmU7+3J7CznJ32yzzbKbr7iMi1WexUL99YQKTMbxLRDOEcZxzQGkWCx1VnxtzymQC/xz9j2w/e8g6xps38CUdlnylIck2wYP5MKg/NJgkh6MzPHNWn2izKT+RmF0ZiLOcv5g+0yb4BiDitI+rPG5syZyUNE4yqt4yzNkQn7xZQZfuN1Tr2j/e+PLL2z7XWL8JbZ8uSOGZP3zYMBgDGVY5mD9gv/4z+z2ZY9mt7WfX7Bx+zkGMm00Z3Z2yVlfLjyJN7s0yQfrsif1fMPK1Bq/Vzr9fk4hqcq0D5pvCNI+8A3MkPpZFCP1lotVRTpx53N8i+uZz43jW15E/3fIcS1kMHFSj2vie/+Rhw0UlHjIcweKBgokwDZYkM9oWfu2JfI8hPxghOQ/CYMGHN/yNSLu39TfuJ5FuRU5S/qiQcVh7YPPoKKr/Sna1rrPF2sutqYrRal7PKMnnS/nwels65gzAwYjLrWyB2s5UNumVqvVmc3Bul9HfLlo1W8S8y/xLfvNFDr9/iVQtn3ozdl2Uk/70Cs09U0f2od+kxh/FdVbn4tVZv22+muWTfrFKuPA8c1IpHnl+JbO1XYxW9ZWdJEqvyW97QPHtbxOlt27764DF/PFdo3TzhpMbJnT62tZ3JlVdIGm6YM0HN+KakS8+dTfeJZFORXVY2kn5h55zNBfCvm0D3KeZvs1UpnzwKJtr9t8LramLTF+YZvON+Q8OORLt00/b0hXQuPJmQGDEbqHHKzlIG2bzIBB77JJP1gX+fqcrPieDE36N6xCO/02Xzr9vZ/eqYvZNl9O5vudQv+ifQiVc8fR2XcbaVNQf7WCw+OLfCXKdVGb41uxbZGrz3HN5GrzNcsm/bxXHGy/OJJbivg+mHiYr3E2r3LeJhcF87fXkPL0HZwwedXlleNb2pKi/qb1ldyHtcOuz23Z9sH2re9JuTgozmW/VMfF1nL139Ze9OYQ43ZacjybxGf0FLUT4lt0HjysfeA6T2/NrPd7BgxGVH5FH0LXSbZ8EG2TbcBA0k3qN4Bk3zmpF4U007D66/pmitmiYQeVSe/0D/N1ncz7+Jo0tA93GorOq6v97U08rP6adJPoazt5L3Oxytj5+k7axSrjw/HNSMR/Hdb+cnwL9x7m6ntcM2sf1j5MYrtrXGzfZE3V/pp1yqvtG54h6+3Ns4rvOb6lLRXqb1pfk7vt/GHVd5809FZlJlZeh7W/venMe+nTPfie482fndemDxoUHe9k54suthogm68c1yRP2682JM7ny5Am/ya8igW/EE9XkkX1V+qu6zzYVn/zWzrp13nyHnX7mwGDEZVY6MFaPoS2qWjAwKSdtIO19qTep7EztnIQn6SLVsMOIr6dfh/fSe70h7YPpk76+Jq08kr7kGVlLm6U8Z2k9oHOfu+nKt17jm/pbDm+pbPVHtfMlvm2v5N2XJNjzb377WaYOq9lBsFNoK+vSS+vtvO1pl0Q5PjWW+Lx31N/45vacrSdP6zefhix78PKQ9oH2Q5be1zmvNu2L1WdN+w8gout+lIr8vUZNPGpv1JXuYPE4DOQfM4nfHxNDbCdN8iypp07mP1t0isDBgWluWLFiuwXv/hFNnPmzGyVVVbJnv70pxekdM/WHKzlg2ibXAMGEjMpB2tO6m01JN48Ov3xLG05adqH3vzKHLQljvbh5F4+5/uyvk3/Bmaszr6BL+NrO+ls6gknxzdTQ9K8cnxL4xrruGa2zrd9mJTjmrjk2wZpA9e64MeGrNSrr29vptIO39d+0HLvg5CbckGQ41tvSad5T/1N49qbq+1Ca8hnNKR9kO2wnQeXGazo3ZeqvrcZy7b6XGw1++TjazvvlfimnvsaG3m1nafh2yuke2/z5RdIOtOmRTNgUFCiH/3oR7O3ve1t3aU///nPswULFnT/9n1jO5CUOVjLQcQ2+QwYSFzTD9axTup9Dtb5crAdvJt24I7V6S/rOymdfm37YOpkWV8TR/tgJIa/hvg2vX2gsz+8zsRYyvEthmJxHhzfim00S2Id18w2lG1/m35cExdb21Cmg29s5bWsb29s/lxNzoHl2Qm+317uzatK7zm+pS0N6m9aX5N7/hhX5iKryUPTPkg5P7Dw+Gz5tVea7EpdSO8GVfgNF1vTFk6+Dsvayl5H871mJvV1ku4gIZY23zKDeqHtQ/7coWy5Snqm0QkwYFBgfcIJJ2Qnnnhid+n3vve9bK+99ur+7fsm/0Ese7CWD6JtKtP4NflgzUm9rXbEmUenP47jsFy07UNv3iEH7aafzNM+9NaQeO9jdvbNVoXU3/wJZ1MuVhkT6q+RiP/K8S2+qckx5nHN5FmmfWj6cU1MYrYNkl8ZX0nfO+XLu8zFnN58qvKe41v6kqD+pjfOnx/JGstcCOzdQk37YDvWhm5H7zZV4X2+7ZNtCtm3sr62sq17u2srz3w7IWlC9rOsr+1LByHrte1TlebZPpsh+1nW1xjYnEM+PyY/XtMJMGBQYBtjwMDWoJf9IMiH0Db5DhhIrK1BKLsdtm0Y97yYJ/WhjZ0Y5Mu5KRet8idCZQe7eutHiG/TO/35eiNeoZ/LEF9TPrQPRqL4VeObL+cmtA/5k3jZp9BbYYi6xjffToWc7BaX/PiWcHxLa5+vNxzf4njn2zvJNfS4ZrYopH1o6nHNmOS/1Rr66wLJL8TXbIe85stcezzozXsc7zm+pVen/qY3ztfj0HMjbfsgexprW9Kr+a/BdowJMQ71bfrFVts5cMh5WoivrFueabDswnO6FUKOa2u0n/0xY96G3Xl1fxPjPDjE17g1/TqP2c8mvDJgUFCKMQYMYhwg5YNom8oMGEh8jG2xbcc45+X3SdtJ0TR6+UY35KRhnJb5dec7gLKcTn9eSfd3vv5q64ym/sbeFp1MnOj8PtE+xHGVXGJ29s1WhdbffFulLWezPeN+pf6mK4F8nZE1cXyL452vt9rjmtmqkPYh1baYbRrXq+1CyjpX36zanBBfs0Lb9mg/TybvcbxyfEurbqsv1N/45nfv8E99ma51/o+CL3Zq2gfZiHyZN+E8Ld/vD7mYbQooxFdMuYOEERz+Gurb1Gf0iFbM8+AQX1NitoG3Op8/mP1q2isDBgUlGmPAIMbBWj6EtqnsgEETD9YxT+o1jZ2UT77hrfvJUOyOtsY39rbYPk/jmBejfTDbrfGVPGgfjKT9VevbpPYhX1dEjM6+vd5o5nJ80+gNj419TNG0D7G3Zfiep18a87hmtjbUN99W1f28zHjkv1mqHZQJ9TXbI6/5i2faberNe5Tv83VG1s3xLW4JUH/jetpys12EC63HMdoH2cZ8G1Hni4L5c3rZv9D90fjayjl0O2QfqjLZ2uHQX9FpfPPlLOcQTXhGj5RzrHNPja+pb7G2xeTHa3wBBgwKTLUDBrZGPORgLR9E21R2wEDyaNLB2nYwCfHttdU0erbtqfNBm05/b82I/z5W+9C7ZZr6K/nQPvRqDr7X+DapfYjd2TfSGt983a3rxSpjYasvHN+Mjv6V45ve0JZDiuOaWU9o+5BvG+p8XmYs8p3r0AspJj95DfU1eeQvrNS1Deb4Zko03Sv1N52tyTlvPPe1x2RzjzzGLC79qm0fZIVNaSNkX/K+2vZO4xt7W2T/xj3l90k72K/xzZ9DaMt63LZm/THPgzW+sj35Po+2vM0+8hpPoFYDBkceeWR21llnxdv7ITk98sgj2aOPPtpNUfahx/nGLvRgLR9C2xQyYNCkg3Xsk3ptYydl1JSDSopOv9Y3b1v3Tn+s9sG0DVpfyYf2wWgOvsbwzdfhup505usuF6sG64t2Dsc3rWBxPMe3YhvtknzbEHrem98OTfvbpOOacckfS7TnQxpfs035z5Xm9hwmz3G85uswx7f4pUD9jW+azzFmPY7RPsj2Nakt5mJrvsbF/Ztf2Mb1zOeWP17L8tAvJcVqH2IfF/L7zN86gVoNGDzrWc/Krr76at0eB0ZrBwxCTzrlg2ibJn3AIObJkPHVNnpNORnK29LpNzUk3mveOLR96N0i6u+0Br7TFrHfpTqp09Tf/MlvXS9WmbKi/hqJ+K95W45v8YzztjGOa2brQtuHppyXGQd5zV9M0dyb3OQb6mvim/INQY5vpkTTvVJ/09manGMba9sH2a6mnKfl90P2LfRiq8TKpPVN1W5Nbd1o/88fS2Tt4/S1bY92kH60ooNry5+rac+DtfVXtrCJ52qD8vWdU6sBg2233Tb71a9+NRbtsgMGsQ7W8iG0TSEDBvmDXJ0vqsQ+OMZo7Jrimz+QxOj0a32bdiCJ1T6YtkHrK/k0pf7KvtA+iEKaKXbdla3U1t/8CX3df85K/U1TdyVXjm/pbFO0DbK1mvahScc1U3L5b7eO82KK2aamtMEp6rCm/opvU2xNXaH+Gol0rzHrsbb+mr1sSj3On0NwsdWUcJxXfmEbx3FYLvk6rLnOE6t9aNp1nmH+dVxWqwGDXXbZJfvpT386FucmDBg05WAtFSDmyZCpUNpGrym+KWzFWOPbtE5/CmONr5RPU+qv7Au+opBmit3ZN1upqb9NqrviQf01tSL+awpb2UpN/W3K8S2Vrca3aW2DWKRogzX1V7ZJphTbNZXz6P5PtQ8a36bV4RTGGl9Tu1Jsl8l71K+x9yWGrxjE3q5Ru8r6Yl5sNduv9W3SxVZ8Ta1I9xr7XE1bf2VPm3IenK7UxptzrQYMzjzzzOxVr3pVn9hmm22W7bzzzn3zYvxx3XXXZddff303q7IDBrEOivIhLJrkVwbmQ+r7mt+uda+5JQvJx3d9qdJVcT8eu/P27N79dusWl3zLde0Lf1I733v22SVbseTO7n7Iz91nbrDRWPdjkzmzs19utUl3m25/ZHm2za//WLr+p6qPZfOtYv2VdqCq29UE36a0D3fN37z7OZQ38u3WsuWTIn1Vtyvk+FrFz2FT6i/Ht/Lnjb6f1yrW2yYd10w5/GrrTbONVprVbYe3u/7W7NZlj461HW5K+1DV40hVtyvk+Eb9fVzy/lQVj3PSfjWhHlex/j5y9c+z+488rHtMkDtIrHn62cnrWcjn3xzHil4v2HLD7Lmrr9zdl/1uXJxddt9DYz2+NclX3FO0D90CC3zTtIHxQIbKhtVqwEAUn//852eXXHJJF3TrrbfOrr322mzmzJndeTHenHDCCdmJJ57YzarsgEGs0Tv5YNum0Ea6CQdrManqflR1u8rUFzr9nMybNqcqF4PL1F/ah7T1t4qdpaZcrDL1vKrHkapul3HzeeX4lq59SNEJlfbcp1yHpWtCve3dv7+/9mXZ8muvNIfpTO6nvNIOO6mdNM47r7FKdv5T5nW36fL7H872veGOsV7kCdkfjm/6z5vLnfqbbtDWtBNcdE1Xj6t4nGvSl+rwTd8+pDoP7p4ABL7Jb5f2douBm0GYRaB2Awa33HJLttVWW2VLly7t7s6iRYuyN77xjd2/Y7zRDhjEugexHPxtk5yQlZ2a9HOfWAMyxtCcZJm/Q16bMjoa21YsY/g26UASq30w9TSGL+2D0Rx8jeHblPYhdt0Vba1vk+queMRug7W+sk1Nqb+xbcUmhm8Tjm8p2gatb9PaBvGIfcuGGPU39n2nZT/HMaWow1rfptVh6m/6mh2zHmvrr9nbptTj2MfqWL6xt8uU26hfY+9HDN+mnP+asox5HhzD12xX7LI3+fKqF6jdgIHs8imnnJIdd9xx3b1fa621shtuuCFbb731uvO0bxgw0AqmjY95MmS2VNvoNeVkKIWtGGt8m2Jr6loKY42vbFeTjPE1NS3+a+zOvtlCTf1tysUqY0H9NRLxX1PYylZq6m9T2t5Uthrfptj2fhJS3K9aU39l2/LHBe2DQHv3d5Tv8/uheRhk73ZrfJt2fKP+9taMNO/z9XjOPgdmqy48OXhlmvprVprfprq2ETEvthqbGL5NudiaYj/wNTVt6jX2uVoM3yaeq/Wr1/uvWg4YPPbYY9mOO+7YuRWR4ZdnG3zhC18wf6pftQMG+QNj6MFaPoS2KeQXBvltquvBWjzy+6I9qY/R2DXlpD72gUTKS+vbtANJvv6Gtg9iK5PWV/LIbxPtg6hMTTF8m9I+0Nk3tSLda/6zyPEtnjXHt3iW+Zzy9VZ7XDP5a9rf/DbV+bhmPGJ/21Hja7Ypf5FHnn01Y96GZnFtXjm+pS8q6m9643w9lmfqrXXBj4NWHKN9kBXnL7Rrz2uCdiZCUOxziBi+Teoj5+uJ9lgSwzd2mxWhGqqyiFmHY/jKzjSpDqsKp6LBtRwwEMtf/vKXnUGD5cuXd2ilwl5xxRXZTjvtFIVaO2AQ62At+2WbQgYM8o1wXQ/W4pH3jdEx1TZ6TemY5vcjhq2UmcY3v0117/Tn66/mZF5sZdL4SjztgygUT1rfptThVCfOGt+mXKwytS/fPsRogzW+sl1Nqb/5/YhhKz4a3/w21fX4lq+3MY5rYitTqG+TjmtTElP/x+zwa3wlNmW5T+3t6P7n+DYaa+pvWud8PZa1ybNOZs9fELTi0PbXrMy2PXW9P3nsuitGWt8mXWzF13xq0r3mzzm158Ha+it7mt+mup4Hpyu18eZc2wEDYTv++OOzk0+e/ondQQcdlH3rW9+KIqodMLAdHEMO1vIhtE1lBwxs21PXg7V45PdH2zGN0dg15aJVis6f1rdpnf58/ZU6HdI+SJxMWl/b9tA+TNnG8JU8mtI+yL7EPqHX1N8U7ZXs4zin/OeR41u80khRXzT1V/asKce3fL2VfdMc1yReplBf2/bU+bg2pTH1f8x6HOprtid/PKh7Rz+/P9o6rPGNWc6mvKrwGnO/NL5ikS/vutdfU775/Qq9KKj1tRmHbovZt3G+5i9savclhm9+m+pch/P7ov1yawzfpvxC3HxuqtT+mm1qynmw2Z+mvdZ6wEAefHzIIYdkV111VTZjxozs4IMPzuQByDGmq6++Onv729+e3XPPPdlGG22UnX766dnjH//4UlnHOFhLQ2ebyg4YxNgW23aMc15+nzipj1Matk621la2LPSgbdueJnT68/V3nCedsbclTk3U5ZLfJ20dDq2/shcxT850KnGiU+xPqG++nOvcUeotnfx+UX97dcLf244nWlvZmtD6a9ueOh/f8vVWe1wzJR3im2pbzDaN89VWbzQXVkJ8Zf/zxwKZF+PzJPmMa8rvk3bAVvYj1Ddfh5tyfKP+pq/d+Xosawz9bIbWX1ln/tvvmu2Q2HFPeddxtg/GokkXW/O+Mc4hNPVXjPODGHVvh23tb2jbID5aX9v21Pk8WEyaNtV6wKDqhZFv9GR7y34g5UNom8oMGDTtYG088r6ag7a2sWvaSX1+f7QHbI1v7G0x9Wfcr/n6K9tTtn0w+6DxpX0wisWvGl/JNV+Hm3iyycWq4voTsiTfPnB8C1G0x+Q/jxzf7E4hc/P1VvIIPa6Z9Ye0v009rhkTec1fxAhtI0J8zXbkL1RpP0sm33G+2i5ecHyLXyLU3/im+Rzzx7pZ2y/I1jjtrHyyoX9r2gfJOMY2DN3AES+0tQ+aY5zW17Y9db7Ymt+f0OOaqRZaX8mnSb8QNy75z2XosTuGb6xtMfvGa3wBBgzim/blmP8QlD1YywfRNpUZMNBug239VZiXP6jINnFSH6dk6PTHcXTlEvOzGXrQjrkNrv0d5XLah7TasTr7ZitD6m8TL1YZD+qvkYj/yvEtvmlvjimOKWXbhxTb0LuPVXhvayPK9jHMfpT1lbi8sczTPqBS8qjCxPEtfSlQf9Mb2wZOQ76wEtI+yN7Z2gjNxfX0Yn5ryO9X6MVWs7ZQX4mPvS1mm8b5mt8nbZ3R+ObPF7UDGON07V13fr9kWaizxtfWRoVuR+/+8T6uAAMGcT0HcrN9EMocrOVDaJt8Bwzyja7k1aQPYqyTek1j19SLVvm6E9oRlToX6htzG2Q7qjZp2wezP7F8JT/aB6M6/RrqKzk0tX2gsz9dP1K94/iWSnawk83xLZ51rOOa2aKy7W/+vEHyadJxzbjIa/7eyjKvTB9D0pf1lZh82yTzyq5XYqo6cXwbTclQf9M7az+rIe2D7JXtOKC9sJ5ey28NXGz1cwpNlffVXKQPrb9m2/PnE006zuX3LeQ8OLZvyDaYsuI1nQADBulsuzlrDtbyQbRNPgMGTT5YGxNO6o1E/Fdb/dEcKMseVPIHMtnDJnb6Ne1Db6mX9bWVb1NO5o0L7YORSPMao7NvtqxM/Y31mTHrruor9TddydjaP45v8bxjf0Z92wdbuTbtuNZbStJGLD1tUbbswnN6Z5e+eO/rKyuxlW0TO/kc3/qqVJI/qL9JWPsyFeP7jjwsW7Hkzu58uQA7Z5+DsrlHHtOdN+xNmfZB8rG1w5qLvsO2bVzL8n1UTRtY1tfsc8xtMHlW4dV27ssdJOKXjO1zGnIeHKv+yh428TpP/JIbfY4MGIzAXHOwlg+hbXINGNgagaYdrI1LjJP6kMbO1mkKaWjNflTxNdY+lvW11d+mdvo17YOpMzF8aR+M5uBrWV/JIdZnZ3BrqjNH6i4Xq9KWB8e3dL6xPqNl24dJOL7FOK6Zkvf1tbk29bhmbOTVZi3zfS9g+fpKnvkLVDKvqcYc36R000/U39EY37vfbgMr8ulXlWkfZAW2NkLmN+1CoO14E3INoKyvWMpkc26Scf78LPQ4E+orxk39hbjsm5nyzjK/TD0O9bV9fnzaI7PdvI5WgAGDEXnLCVHIwVo+iLZp2ICB7SAieTTpQNJrwkl9r0bc97YTeTlol/lmitki34OK7SASeqJg1l3119D2oXe/fH1pH6bUypwQSYSvr6S1nYD5XryR+DpNtjZCtr/s/vr42uruJLQNDMqk+UTY6i7Ht3jWMY5rZmtc7YOtbZDYpp73GhfzWmQt9XnuEcdkc/Y9yCS1vrp85RYR0g71fkvZZNRkY1sbIfvN8c2UfpxX6m8cx2G52PpWkl7aiFUXnpzNnr+gMNzVPkig5C/nvpPURtjO9cv2LcTOx1fSmclWlk272GprE8q2u8arrK/E2c4pmvKMHuMir7ZjXNnz4LK+tvor61zrgh/3bhrvKyTAgMEIC8P2AZHVDztYy4fQNtkGDCbxYG1sbA2eLPM9uJRp7GwHkSY3dLaDttiWOTnx9bXZyrqa3CGV/ZMppH2YivQ72aR96P9JttjRPpgapHstaiOkXeRilc5Wojm+6Q2LciiquxzfisTKzdcc18yahp0/TPJxzfiY16J2Qpa7+hm2PoXEDRsoGJanxDZlKmojOL7FLWHqb1xPW25F7bGklfNhuUVRfuBgWPsrcZKn/BJy+bVXyp8DU5P7b7Y6K+1CmS/VuXzzoLYylHU28WIrv7DNl36av4uOcT7nwWXr7yRf50lTeqPJlQGD0Th312Jr6M1C28FaPoi2qffkfpIP1r02RQ0eJ/W9SmHvi+qt2Lq+mWLWOOygIvlP2jdTjEvva5GzpLG1D72xRb60D1NKtA+9tSX+e1vHyazFp52w1V8uVhnBqUED268UOb5NG4W+K2p3feqtWaet/pplk358K/IVH9dxzRjmfTmuGZn+V2mHbb9IMqmkTssFwVntfzPmbZjNbP8tr+L72J23Z4+173MueSxvn5Pln4tg8pBXKbc1Tjurd1aj33N8G03xUn/TOw+ry7J200as9I9fJUkbMXODjTK57iCxZdqI1Rae1Glf0u/V+NYgJrZzM5+LrWar88c3Mz//OmkXW4vag7K/4vD1FW/br0Ym4XhXdJ7mcx7s4zvp58H5z3Ld/mbAYAwlVuZgvfvuu2e3L3s0u+2R5Z0t3XilWdlGc2Znl5z1Za8T+kk4WPcW4TDbYY3esMaOi1ZTwkUHE1nq6vQX+dLp7629U++H1WFJwcn8oJnvnGG2tA++isXpxJeLVcU+2iXUX61gcTzHt2KbGEuG1V3J33ZckwvZMm3SPue9+YrLvC9kT9p5bwep5z+xXnbBOdnS0xf1zI33tsyFsHhrHX9OHN9GUwbU3/TOrrqs3YJJayOKzh+G9SuMcVH/2CyXV8l/Ur9UJ3U1/9BuMfG9iO/jK/nJZBuQkTJs4q83pva4//+ieiypiq7zuHwlz0n9BVK/br3/YsBgTOXHwTodvMvWdEz5hlX5Mig6cJucjG3vN1Po9Bsd/1dXHfbPyZ5y0k7mexVctqYO0z70qvm/F18uVvl7lU1J/S0r5p9ebG0dU5ODaRs4vhmRcq+uulsut8HUk3xcG9SY+lXSsAFcW8yweeIrt5gz53TD0jZ1Gce30ZVs7PaC+jtYdmL8wMLjC28nNBgxfI5cVJzUAduQi61Gs+iiKxdbp4Skntp+xSHnZNz21NSiOK9iXfY8mF8gxbGvci4MGIy5dDhYpykAceWiVTrbmJ3Q/FbS6Z8WoX2Ytoj5jvYhpqY9LzGO2U7Q2Z92pv5OW8R+F7ve5reP49vUhWwuUuVrRrq/pU7LhSc5Jy66z3jR2s0g2aQPFOR9YrcTHN/ywtN/U3+nLVK9E2Npk2WijQhXFkcutob7DYscZivHqaLbIxcNxsi6uIOEXVysY/bf8mvhPDgvUv2/GTCoSBlxsE5TELEbPU7qp8vJ1NmyJ5fTOfS/m+RvpvRLDP5lrGVJWW86/IOeZg7tg5FI9yrGXKxK40v9TeMquZo2t2x7W7RFHN8GZYyxLCnrzHFt0NNnjmmP5RkFjy1uP69gyR3tf3d2QsV0xvrt5xrMm3qds++BE/1rgjKeDMb4aOnTUH/1hq4cyhjP2mHBwEOSXfk3fbn4cbE1TSm7bM15Ab8Qj+Mv3ny5I45l3XNhwKCCJdh7sL70q2dnG89pP7eg/ewCmW5vP8vgtmXLsz1e+rLOiT0Ha78CNKac1Pt5lUllDigSQ6e/jFxYWlOXfTr8tA9+xsaU9sHPKzSVcfapu1ys8lc2rtRffzPflGLLNy99tcLTmTpsaxvkvHeznZ7bvZDNcS3c2RY57BuYtvTMswsMq8MMxtjNYsyl/sZQLM4D32KbYUvMuUPZfnFRnnzpYEpGXOVcl2f0FNWU+PNNXZacy9ZnM4jDrxTjl8soc2TAYJTaAeuSA7VtarVattnM8xDgpN4DKTDJMFs6/YGonmGc1HtCOZINq8N0+h14isXUXwVeTyj1twcj8tththzfImPnsqN9yIFE/hPfyKC57PDNgUT+E9/IoLns8M2BlPhTzhv40kEJMM+k4hrzlxzcQcIPfth5cL6PzJc7/EzrkIoBg4qXkhykbRMDBjaV8HmcDIXb+UTi66MUngbfcDufSHx9lMLT4Btu5xOJr49SeBp8w+18IvH1UQpPg2+4nU8kvj5K4WnwDbfzicTXR8kvDRdb/ZzKpDKm/MK2jFq8tLQP8SyrnBMDBlUunfa2yQfRNjFgYFPRzaPR0/m5ovF1CemW46vzc0Xj6xLSLcdX5+eKxtclpFuOr87PFY2vS0i3HF+dnysaX5eQbjm+Oj9XNL4uId1yfHV+JtoMHthubZj/9ju3PTVq+lfqr96w6jkwYFDxEpIPoW1iwMCmEj6Pxi7czicSXx+l8DT4htv5ROLroxSeBt9wO59IfH2UwtPgG27nE4mvj1J4GnzD7Xwi8fVRCk+Db7idTyS+PkrhafANt/OJxNdHKTwNvuF2dYpkwKDipSUfRNvEgIFNRTePRk/n54rG1yWkW46vzs8Vja9LSLccX52fKxpfl5BuOb46P1c0vi4h3XJ8dX6uaHxdQrrl+Or8XNH4uoR0y/HV+bmi8XUJ6Zbjq/OrQzQDBhUvJfkQ2iYGDGwq4fNo7MLtfCLx9VEKT4NvuJ1PJL4+SuFp8A2384nE10cpPA2+4XY+kfj6KIWnwTfczicSXx+l8DT4htv5ROLroxSeBt9wO59IfH2UwtPgG25Xp0gGDCpeWvJBtE0MGNhUdPNo9HR+rmh8XUK65fjq/FzR+LqEdMvx1fm5ovF1CemW46vzc0Xj6xLSLcdX5+eKxtclpFuOr87PFY2vS0i3HF+dnysaX5eQbjm+Or86RDNgUPFSkg+hbWLAwKYSPo/GLtzOJxJfH6XwNPiG2/lE4uujFJ4G33A7n0h8fZTC0+AbbucTia+PUngafMPtfCLx9VEKT4NvuJ1PJL4+SuFp8A2384nE10cpPA2+4XZ1imTAoOKlJR9E28SAgU1FN49GT+fnisbXJaRbjq/OzxWNr0tItxxfnZ8rGl+XkG45vjo/VzS+LiHdcnx1fq5ofF1CuuX46vxc0fi6hHTL8dX5uaLxdQnpluOr86tDNAMGFS8l+RDaJgYMbCrh82jswu18IvH1UQpPg2+4nU8kvj5K4WnwDbfzicTXRyk8Db7hdj6R+PoohafBN9zOJxJfH6XwNPiG2/lE4uujFJ4G33A7n0h8fZTC0+AbblenSAYMKl5a8kG0TQwY2FR082j0dH6uaHxdQrrl+Or8XNH4uoR0y/HV+bmi8XUJ6Zbjq/NzRePrEtItx1fn54rG1yWkW46vzs8Vja9LSLccX52fKxpfl5BuOb46vzpEM2BQ8VKSD6FtYsDAphI+j8Yu3M4nEl8fpfA0+Ibb+UTi66MUngbfcDufSHx9lMLT4Btu5xOJr49SeBp8w+18IvH1UQpPg2+4nU8kvj5K4WnwDbfzicTXRyk8Db7hdnWKZMCg4qUlH0TbxICBTUU3j0ZP5+eKxtclpFuOr87PFY2vS0i3HF+dnysaX5eQbjm+Oj9XNL4uId1yfHV+rmh8XUK65fjq/FzR+LqEdMvx1fm5ovF1CemW46vzq0M0AwYVLyX5ENomBgxsKuHzaOzC7Xwi8fVRCk+Db7idTyS+PkrhafANt/OJxNdHKTwNvuF2PpH4+iiFp8E33M4nEl8fpfA0+Ibb+UTi66MUngbfcDufSHx9lMLT4BtuV6dIBgwqXlryQbRNDBjYVHTzaPR0fq5ofF1CuuX46vxc0fi6hHTL8dX5uaLxdQnpluOr83NF4+sS0i3HV+fnisbXJaRbjq/OzxWNr0tItxxfnZ8rGl+XkG45vjq/OkQzYFDxUpIPoW1iwMCmEj6Pxi7czicSXx+l8DT4htv5ROLroxSeBt9wO59IfH2UwtPgG27nE4mvj1J4GnzD7Xwi8fVRCk+Db7idTyS+PkrhafANt/OJxNdHKTwNvuF2dYpkwKDipSUfRNvEgIFNRTePRk/n54rG1yWkW46vzs8Vja9LSLccX52fKxpfl5BuOb46P1c0vi4h3XJ8dX6uaHxdQrrl+Or8XNH4uoR0y/HV+bmi8XUJ6Zbjq/OrQzQDBhUvJfkQ2iYGDGwq4fNo7MLtfCLx9VEKT4NvuJ1PJL4+SuFp8A2384nE10cpPA2+4XY+kfj6KIWnwTfczicSXx+l8DT4htv5ROLroxSeBt9wO59IfH2UwtPgG25Xp0gGDCpeWvJBtE0MGNhUdPNo9HR+rmh8XUK65fjq/FzR+LqEdMvx1fm5ovF1CemW46vzc0Xj6xLSLcdX5+eKxtclpFuOr87PFY2vS0i3HF+dnysaX5eQbjm+Or86RDNgUPFSkg+hbWLAwKYSPo/GLtzOJxJfH6XwNPiG2/lE4uujFJ4G33A7n0h8fZTC0+AbbucTia+PUngafMPtfCLx9VEKT4NvuJ1PJL4+SuFp8A2384nE10cpPA2+4XZ1imTAoOKlJR9E28SAgU1FN49GT+fnisbXJaRbjq/OzxWNr0tItxxfnZ8rGl+XkG45vjo/VzS+LiHdcnx1fq5ofF1CuuX46vxc0fi6hHTL8dX5uaLxdQnpluOr86tDNAMGFS8l+RDaJgYMbCrh82jswu18IvH1UQpPg2+4nU8kvj5K4WnwDbfzicTXRyk8Db7hdj6R+PoohafBN9zOJxJfH6XwNPiG2/lE4uujFJ4G33A7n0h8fZTC0+AbblenSAYMKl5a8kG0TQwY2FR082j0dH6uaHxdQrrl+Or8XNH4uoR0y/HV+bmi8XUJ6Zbjq/NzRePrEtItx1fn54rG1yWkW46vzs8Vja9LSLccX52fKxpfl5BuOb46vzpEM2BQ8VKSD6FtYsDAphI+j8Yu3M4nEl8fpfA0+Ibb+UTi66MUngbfcDufSHx9lMLT4Btu5xOJr49SeBp8w+18IvH1UQpPg2+4nU8kvj5K4WnwDbfzicTXRyk8Db7hdnWKZMCg4qUlH0TbxICBTUU3j0ZP5+eKxtclpFuOr87PFY2vS0i3HF+dnysaX5eQbjm+Oj9XNL4uId1yfHV+rmh8XUK65fjq/FzR+LqEdMvx1fm5ovF1CemW46vzq0M0AwYVLyX5ENomBgxsKuHzaOzC7Xwi8fVRCk+Db7idTyS+PkrhafANt/OJxNdHKTwNvuF2PpH4+iiFp8E33M4nEl8fpfA0+Ibb+UTi66MUngbfcDufSHx9lMLT4BtuV6dIBgwqXlryQbRNDBjYVHTzaPR0fq5ofF1CuuX46vxc0fi6hHTL8dX5uaLxdQnpluOr83NF4+sS0i3HV+fnisbXJaRbjq/OzxWNr0tItxxfnZ8rGl+XkG45vjq/OkQzYFDxUpIPoW1iwMCmEj6Pxi7czicSXx+l8DT4htv5ROLroxSeBt9wO59IfH2UwtPgG27nE4mvj1J4GnzD7Xwi8fVRCk+Db7idTyS+PkrhafANt/OJxNdHKTwNvuF2dYpkwKDipSUfRNvEgIFNRTePRk/n54rG1yWkW46vzs8Vja9LSLccX52fKxpfl5BuOb46P1c0vi4h3XJ8dX6uaHxdQrrl+Or8XNH4uoR0y/HV+bmi8XUJ6Zbjq/OrQzQDBhUvJfkQ2iYGDGwq4fNo7MLtfCLx9VEKT4NvuJ1PJL4+SuFp8A2384nE10cpPA2+4XY+kfj6KIWnwTfczicSXx+l8DT4htv5ROLroxSeBt9wO59IfH2UwtPgG25Xp0gGDCpeWvJBtE0MGNhUdPNo9HR+rmh8XUK65fjq/FzR+LqEdMvx1fm5ovF1CemW46vzc0Xj6xLSLcdX5+eKxtclpFuOr87PFY2vS0i3HF+dnysaX5eQbjm+Or86RDNgUPFSkg+hbWLAwKYSPo/GLtzOJxJfH6XwNPiG2/lE4uujFJ4G33A7n0h8fZTC0+AbbucTia+PUngafMPtfCLx9VEKT4NvuJ1PJL4+SuFp8A2384nE10cpPA2+4XZ1imTAoOKlJR9E28SAgU3FPW/F4juyZReck61Yckf22OI7O68rltyZzVh/g+zWW2/NNtvpudnMeRt0Mlpp34Oy2fMXuDMlhZcABxUvpuBE+AbTeQXi68UUnAjfYDqvQHy9mIIT4RtM5xWIrxdTcCJ8g+m8AvH1YgpOhG8wnVcgvl5MwYnwDabzCsTXiyk4Eb7BdLUJZMCg4kUlH0LbxICBTcU+79FrrsyWX31ltvT0RfYEQ+bKQIIMGjB4MATJYxEHEw8kRRJ8FXgeofh6ICmS4KvA8wjF1wNJkQRfBZ5HKL4eSIok+CrwPELx9UBSJMFXgecRiq8HkiIJvgo8j1B8PZAUSfBV4NUolAGDiheWfBBtEwMGNpX+eTJQ8MgF386WXXhO/4LAv+bscyADB4F2EsZBRYHnEYqvB5IiCb4KPI9QfD2QFEnwVeB5hOLrgaRIgq8CzyMUXw8kRRJ8FXgeofh6ICmS4KvA8wjF1wNJkQRfBZ5HKL4eSDVP0tgBg4ceeii76667sqVLl3b+rbrqqtndd9+drbPOOtn666+fyd91mORDaJsYMLCpTM97cOFx0QYKpnPNOrcukl8crLrw5N7ZvHcIcDBxACkX46sEdITj6wBSLsZXCegIx9cBpFyMrxLQEY6vA0i5GF8loCMcXweQcjG+SkBHOL4OIOVifJWAjnB8HUDKxfgqAWsS3ogBA7n3/A9/+MPsRz/6Ufab3/ymcy/6v/3tb0OLYLXVVusMHDzpSU/KNt1002yPPfbIXvjCF2bz5s0bGjfqhfJBtE0MGNhUskx+VbD0c4uy5ddeaU/Qniu/FJix/obZrB0WZDPbtxyaMW/DTJ5tsNlmm2U3X3FZ570852BYHnKrojU+d1YntnBFLOgT4KDSxxH9D3yjk/ZliG8fR/Q/8I1O2pchvn0c0f/ANzppX4b49nFE/wPf6KR9GeLbxxH9D3yjk/ZliG8fR/Q/8I1O2pchvn0c0f9ouq9cJz788MOzhQsXRrerS4a1HjC45JJLspNOOin7/ve/H8179913z975zndme+65Z7Q8NRnJh9A2MWAwqCKDBfcfedjggvacWdsvyObse2D730HW5bbGTgYRJM+iwQMZNJh7xDGFeVpXNKEzbb4TSpFkt/FNwtrNFN8uRZI3+CZh7WaKb5ciyRt8k7B2M8W3S5HkDb5JWLuZ4tulSPIG3ySs3Uzx7VIkeYNvEtZupvh2KZK8mQRf2UeZNtlkk2y33XbrDBzIIMIkTbUcMJDbDL32ta/NzjrrrGRltddee2Vnn3125xZGyVbikbGppPmkDBj0ixQNFshAwdwjj+k8uLg/YvCvYY3eMnkWguVXBwwaDDoWzRnmWxTDfH8BfP2tQlLiG6LmH4Ovv1VISnxD1Pxj8PW3CkmJb4iafwy+/lYhKfENUfOPwdffKiQlviFq/jH4+luFpMQ3RM0/pum+sn+9kxk4kF8dyADCJEy1GzCQwYJddtklu/rqq5OXj9yi5qKLLsq22GKL5OsqWkG+kpp0DBgYianbENl+WSCDBWuc5jeo5NPYyS8Olp62aODZCNyeaLosit75+BbFMt8tgK/bSJMCX42eOxZft5EmBb4aPXcsvm4jTQp8NXruWHzdRpoU+Gr03LH4uo00KfDV6Llj8XUbaVLgq9Fzx06Cr+xj0fTKV76yc7uipg8c1G7A4Oijj84+9alPFZVbJoW6wQYbZFtuuWW28cYbdx5uLA84njlzZrZ8+fJs9uzZ2cMPP5z99a9/zX7/+99nt9xyS7ZkyZLC/LbaaqvsqquuylZeeeXCNCkXFFVSBgym1e/dd9dsxZI7p2e036367pNK3yrIt9GTXxs8+J7j+9bHoEEfh/UPX19rMDOdAvg6iVQJ8FXxOYPxdRKpEuCr4nMG4+skUiXAV8XnDMbXSaRKgK+KzxmMr5NIlQBfFZ8zGF8nkSoBvio+Z3DTfWX/XJP86uDMM89s7C8OajVg8Lvf/S572tOeNlBmMiDw4he/ODv00EMzeQaB/F1mkoGD73znO9mXv/zl7Je//OVA6LHHHpudcsopA/NHMaOokjJgMKV/3xGHDTycePX2w4hnz19QqnjKNna2QQN5mPKqC08utd5JSVzWd1JcYu0nvrEk7fnga3eJNRffWJL2fPC1u8Sai28sSXs++NpdYs3FN5akPR987S6x5uIbS9KeD752l1hz8Y0lac8HX7tLrLmT4Cv76DvJwIHcqqhpD0iu1YDBu971rux973tfX5k9+9nPzr761a92HkTRtyDgjxUrVnR+vfCOd7wje+CBB7o5rL322p1fIcyZM6c7b1RviiopAwb2WxFpLtqXbfSWfm5RtvT0RX1VIWSwoi+DBv9R1rfBFEl2Dd8krN1M8e1SJHmDbxLWbqb4dimSvME3CWs3U3y7FEne4JuEtZspvl2KJG/wTcLazRTfLkWSN/gmG4zpnQAANJlJREFUYe1mim+XIsmbpvvK/pWdzHMOZOBg0003LRteufS1GjCYP39+du2113YRt9lmm86zDGbNmtWdF+PNN7/5zeyQQw7py+rb3/52duCBB/bNG8UfRZWUAYMsy/+6oMwzC/JlF9LYyTMNHlh4fN8vHDTbkN+mJv0d4tuk/U+9L/imFcYX37QCaXOn/uKbViBt7tRffNMKpM2d+otvWoG0uVN/8U0rkDZ36i++WgGpQ6GTGTiQXx3U+TkHtRoweOITn5j95S9/6ZbZpZde2rkFUXdGxDcHH3xw9q1vfaub4wknnJC9973v7f49qjdFlXTSBwxstwTSfrs/5KDy6DVXZvkHLmu3Y1R1a9TrCfEd9TbWeX34pi09fPFNK5A2d+ovvmkF0uZO/cU3rUDa3Km/+KYVSJs79RfftAJpc6f+4qsRkPoTY6rzA5JrM2Dw2GOPZSuttFImtw2SSR5evHTp0s7DjGMUYj6P008/PTviiCO6s1/zmtdk//Vf/9X9e1RviirppA8YPLjwuGzZhed0i0FzKyLJRHMwib0t3Z1q0BuNb4MYku0KvsloOxnji29agbS5U3/xTSuQNnfqL75pBdLmTv3FN61A2typv/imFUibO/UXX62A1KGYUx0fkFybAYOHHnqo72HGG2ywQXbHHXfELL++vC655JLs+c9/fnfe3nvvnV144YXdv0f1pqiSTvqAwd07/FNfEax1/o+yGfM27JtX9o/Qg4rcmuje/Xbrrm7G+htka13w4+7fvJkSCPXFz08AXz+n0FT4hsr5xeHr5xSaCt9QOb84fP2cQlPhGyrnF4evn1NoKnxD5fzi8PVzCk2Fb6icXxy+fk6hqfANlfOLa7qv7F+KqU4PSK7NgIEU1Oqrr959GLE8gFh+YZCqED/zmc9kb3jDG7r1Y//998/OO++87t+jelO0f5M8YGC7DdA6V9+sKhJtY5d/ngK3JeovDq1vf278lRfANy8S929843rmc8M3LxL3b3zjeuZzwzcvEvdvfON65nPDNy8S929843rmc8M3LxL3b3zjeuZzwzcvEvdvfON65nObBF/Zx5RTHZ5zUKsBgy233DK78cYbu2X2P//zP9k///M/d/+O+eawww7Lzj777G6Wr3vd6zIZRBj1VFRJJ3nAIH8LoLmvPSabe+Qx6qLRNHr5Zypob5Gk3pkKZqDxreDuVG6T8E1bJPjim1Ygbe7UX3zTCqTNnfqLb1qBtLlTf/FNK5A2d+ovvmkF0uZO/cVXIyD1ZxRTlQcOajVgcOCBB2bnnntut8y22Wab7OKLL87WW2+97rwYb/74xz9m2223XXbvvfd2s5MHHsuDj0c9FVVSBgymn1+w6rtPyubse5CqaLQHEwYMhvNrfYfnzlJ809YBfPFNK5A2d+ovvmkF0uZO/cU3rUDa3Km/+KYVSJs79RfftAJpc6f+4qsVkDo06mnXXXfNFi5cmO22226jXrV1fbUaMDjnnHOygw7qvzA8b9687Gtf+1r2vOc9z7qDZWded9112aGHHprdcMMNfaFXXnlltuOOO/bNG8UfRZV0kgcM7t1312zFkju7/DGeXyCZaQ4q+dskzdp+QbbGaWd1t5E3Ol/83AKa+uvOnRT4pq0D+OKbViBt7tRffNMKpM2d+otvWoG0uVN/8U0rkDZ36i++aQXS5t70+iv7N65JfnUgAweHH374uDahs95aDRg88sgj2WabbZYtXry4D23mzJnZkUce2bk90S677JKtueaafctdfzz88MPZ5Zdfnp1xxhnZN77xjezRRx/tC9l8882zm2/W3SO/L8MSf4yzkpbYzJEmvW6rTbKNVprVXed219+a3fbI8u7f43izcXt7ftneLjPd3t6ebdvbxYQAAggggAACCCCAAAIIIIAAAggggAACCJQVGNcXxms1YCCol156afaCF7wgW7FihdV4xowZ2fbbb5/J7YrWWGON7j95YLIgL1u2LHvooYeyP//5z52Bh5tuuim7/vrrBwYJejOXXzYccMABvbNG9p4Bg0Hqu+Zv3jdz3Wtu6ft7XH9UdbvG5cF6EUAAAQQQQAABBBBAAAEEEEAAAQQQQCBMYFzPOajdgIHwfuxjH8ve9ra3dQYAwrj9o97whjdkn/rUp/wDIqdkwGAQtIq/MJCtZMBgsKyYgwACCCCAAAIIIIAAAggggAACCCCAAALhAjJwcOaZZ47sGQe1HDAQ3u9+97vZy1/+8r4HE4ezD0bKLxVOPPHE7D//8z8797YfTDGaOQwYDDqf/5QNsueuvnJ3wX43Ls4uv39p9+9xvHnu6nOz858yr7vqy+9/ONvvxunnLHQX8AYBBBBAAAEEEEAAAQQQQAABBBBAAAEEEPAQeOUrX9l5rsGmm27qkTpOktoOGMju33PPPdmiRYs6/+6+++4oIjJQIA9WPv7447P58+dHyVOTCQMGg3oMGAyaMAcBBBBAAAEEEEAAAQQQQAABBBBAAAEE6i8gvyiQBx/LA5DHMdV6wMCAyXMJfvrTn2YXX3xx9rOf/SxbsmRJ5xkFDzzwgElS+LryyitnUgjPetazst13373zfISNNtqoMP2oFzBgMCj+qU3Xyw5dd/Xugq/ddX921B//0v17HG/y23Ty4nuyk5bEGcQax/6wTgQQQAABBBBAAAEEEEAAAQQQQAABBBAYvcC4HnZs9rQRAwZmZ/Kv8nDjP/3pT53Bg7/97W+dxXPnzs3k3yqrrJLNmzcvW2+99cZ6y6H8NvO3W2DZBd/OHnzP8d2EM9bfIFvrgh93/x7Hm3v33TVbsWT6FkSrvvukbM6+B41jU1gnAggggAACCCCAAAIIIIAAAggggAACCAQIjOPL27vuumvnFwXyq4IqTI0eMKgCMNsQX2DF4juye/fbrS/j1T93VjZ7/oK+eaP6w7Y961x986hWz3oQQAABBBBAAAEEEEAAAQQQQAABBBBAIILAKAcMxvF8Ah8iBgx8lEhTOYH7jjgsW37tld3tmrPPgdmqC0/u/j3KN1XallHuN+tCAAEEEEAAAQQQQAABBBBAAAEEEECgSQKjGDCQgYIzzzyzsmwMGFS2aNiwYQL52xJJ2nH8yuDRa67M7j/ysL5NHcd29G0AfyCAAAIIIIAAAggggAACCCCAAAIIIIBAaYFUAwbjfpBxGQgGDMpokbZSAvlv9s/afkG2xmlnjXQbq7ANI91hVoYAAggggAACCCCAAAIIIIAAAggggEBDBWIPGFTt+QQ+xcaAgY8SaSopYPt2/9zXHpPNPfKYkWxvfrBAVsqvC0ZCz0oQQAABBBBAAAEEEEAAAQQQQAABBBCILhBrwKCOAwUGkwEDI8FrLQUeXHhctuzCc/q2fRSDBrbBinE+R6EPgD8QQAABBBBAAAEEEEAAAQQQQAABBBBAoLSAdsCgqg8yLgPBgEEZLdJWTmDF4juy+9rPEFix5M7uts1Yf4Nszj4HJfulgW2wQNa51gU/7m4DbxBAAAEEEEAAAQQQQAABBBBAAAEEEECgXgKhAwbvfve7s4ULF9ZrZwu2lgGDAhhm10dABg3u3W+3gQ1O8Y1/222IZMXcimiAnxkIIIAAAggggAACCCCAAAIIIIAAAgjUSqDMgEGdHmRcphAYMCijRdrKCti+9S8bK9/8X3Xhydns+QtU2y75y+2Pen/JYDJksMBI8IoAAggggAACCCCAAAIIIIAAAggggEB9BXwGDOr8fAKfkmHAwEeJNLUQKBo0kI2ftf2Czi2Kyg4cSJ5LP7coW37tlVYDBgusLMxEAAEEEEAAAQQQQAABBBBAAAEEEECgdgLDBgxkoEBuO7TbbrvVbr/KbDADBmW0SFt5AdszDXo3Wn5xIIMGK+17UGf2zPbfM+Zt2HkvsY+1n4Ugr8vbAwX5hyn35iMDEKstPKkb27uM9wgggAACCCCAAAIIIIAAAggggAACCCBQPwHbgEETHmRcpiQYMCijRdpaCMgF/6WnLRp6wV+zIymejaDZHmIRQAABBBBAAAEEEEAAAQQQQAABBBBAQC/QO2AgAwVnnnmmPtOa5cCAQc0KjM31F5CBgwcWHl94OyH/nKZS8quCsmKkRwABBBBAAAEEEEAAAQQQQAABBBBAoD4Cm266aXb44Yd3bj1Un62Ou6UMGMT1JLcKCpiBA9m0omcRFG22uYXR3COO4fZDRUjMRwABBBBAAAEEEEAAAQQQQAABBBBAAIFGCDBg0IhiZCd8BWTwQB5kLM8oeGxx+3kFS+5o/7uzEy6DAzPW3zCbOW/qddYOCzrPO/DNm3QIIIAAAggggAACCCCAAAIIIIAAAggggECdBRgwqHPpse0IIIAAAggggAACCCCAAAIIIIAAAggggAACCEQSYMAgEiTZIIAAAggggAACCCCAAAIIIIAAAggggAACCCBQZwEGDOpcemw7AggggAACCCCAAAIIIIAAAggggAACCCCAAAKRBBgwiAQ5qmwefPDB7Pbbb88WL16c3XPPPdnaa6+drb/++tnGG2+crbrqqqPajEasR/yWLVuWrbLKKtkaa6zRiH2qwk48/PDDnTp65513ZnfffXe2wQYbZE972tMwjlw40hbccccdnbZAnKUd2GKLLbInPOEJkdc0Odm1Wq3s0UcfzWbPnp097nGPm5wdZ08bJ7BkyZLshhtuyKSdkOObtA9PfvKTsxkzZjRuX9mh5gr86U9/ym666absr3/9azZv3rzsn/7pn7LHP/7xzd3hMezZH//4x0ycxVgmaSc233zzbOWVVx7D1lRrlan6CfTliss5lblZY+r8zXrq9BrbhH7g8NKP7S1rm8Q+YQrHopKjfzglM0rzorJg/hgE2h8ApooLrFixovXNb36ztc8++7RmzZrValeTgX8rrbRSa//992+dd955Fd+b8W/eVVdd1dpuu+36DI866qjxb1iNt+D+++9vffrTn27ttdderTlz5vTZmvraHjho7b333q1rr722xns63k1vd+hbJ598cmvnnXduzZw50+q85pprtnbffffW5ZdfPt6NrdHaTzvttNZGG23Uag8SdEzldd11120dccQRNdqL8W5qu7PSOQaJY8i/Y489drw7UPO1//a3v2295jWvae24446t9gCBtW1oD4532uALL7yw5nubdvOPPvrooDpsq/dbbbVV67bbbku7wQ3K/aGHHmq9//3vb2277bat1VZbzVqPpX4vWLCgc17coF0f6a60Bwhact7b/rKR1ViOgZtttlnr1FNPbbW/WDPSbavCylL0E+jLDS/ZFOa9a0ydf++66vI+pgn9QHepx/SWtU1qnzC247CSo384pRPLnL7isNpW3WVZdTeNLRMBOal/4QtfaD2hNxdi86//+q//2mqPAAKYE3jggQdab3nLW1rtb1gOeB544IG51PzpI7B8+fLWSSed1FpnnXUGTPP10vwtF7qlHOTkkslPQDrsJ5xwQuEFFGObfz300EM7J5R+a5nMVDfeeGNLBlzzdvL3euutN5koAXt9wQUXWA1trrZ5MqDIVF6g/eui1pve9KbCLxPYrOViYPuXiuVXNiERZY5nNt/8vK9//esTIqfbzTPOOKO14YYblmpHZIDs6quv1q14wqLPPffcVvuXiN7O7V8ctH784x9PhFKqfgJ9ueLqk8rcrDF1/mY9dXqNaUI/0F3yMb1lbZPaJ4zt6Co5+oetVmxz+oquWlfN5QwYVLNcOlvVvqVA6c6T6ag+5znPaT3yyCMV3rvRbtpFF13U2nTTTQs7SAwYhJXHi1/84kJTUxeLXv/lX/4lbKUTGKVx3m+//SZQzH+XpR4W1VEGDPwdv/SlLxU6Fvn2zpcLhUzlBK688srOL2F6HX3f/+IXvyi3sglK3b7Vo6ou58vgO9/5zgTphe3qJz7xiWDzJz7xia0///nPYSueoCi5sPfqV786yHmttdZq/e53v2u0Vqp+An254mqTytysMXX+Zj11eo1toumfTEI/MLa31DWNeV37hCkcXZ/bSe8fpjCnr+iqddVczoBBNculc7H/uc99rvXEXn4mfMghh7Re+cpXtnbZZZfCb8e+8Y1vrOjejW6z/va3v7Ve8YpXWB17O/UMGJQvExmQMrdw6bWU9zK/fb/hVvseuEPt5cDBNFxAfsZuu/3Q3LlzW9tvv32nLXjBC17Qkosm+XIwf3/xi18cvpIJXSoX8oyR7ZUBA/+KoT0JPOigg/xXRspW+xkxnTbWVm+f9KQntQ477LDWcccd1zr++ONbr3rVq1pbb71136/rfvnLX6JYILDnnnsObRds5sPmcQuoAuh/zL7++uut5wpyez2pu+973/taH/rQh1qvf/3rC7/4MQkXnoYrupd+9rOftdbr9vPPOn0JuRXXwQcf3Lkdl60+t58f0brvvvvcK6pZipT9BDlPpi83WCFSmsvaUuc/uEfVn5PChH5gcbmn8Ja1TVqfMJVjcclNLZnk/mFKc/qKrppXzeUMGFSzXFof//jHB07s5VY6p59+eku+JdQ7tR9s2LJ1cOUi4+9///vepBP1Xp774PuzawYMylcNuddwb6dSBgfkHtryrVdZJpPU1WuuuaYlv3jpTWvey33i2w/HKr/yCYpoP4S3z+6pT31qSzr+ch/A3knSye2hbIM07YdO9yblfVtg6dKlLbnVgqmLtlcGDPyrSv4kcP78+S25KO37j3bA31rqrtyKJV9n5cLf2Wef3ZK2wDbJN13lfqwnnngiv0C0Af1jnvwEW45jZf/Jc2PyZSK3O7vrrruGrI1FtvNXuZ2ezU1uxSDHubyz/C23D2CyC9x7773W82F57pQsy08f/ehHrcbyTIMmTan7CfTlBmtLavPU+Q/uUfXnpDKhH2gv+1TesrZJ6hOmdLSX3NTcSe4fpjanrzis5lV3GQMGFSwbGbGXh+flO0Tvec97CrdWDtrPeMYzBmLkG0OTOC1evLjv25TGUgYQPv/5zw90nBgwCKsl5qGEL3vZy1piXjTJwMEBBxwwUD+lXPima5Ha9Hy5p7b8k85nfsBwOtXUO+nQm/puXuVh6VyQ7Zd673vf2+ckAy3yU11jJq8MGPSbDfsrfxL4ohe9aFhylikE8nVX6qrcRueKK65Q5EqoVkCeVdDbfsh7OTYyFQvItyVXX331Pjc5l5UO+7BJHkift5aOLpNdQB4qn/eSX3UNO5/49Kc/PRCz5ZZbdr7hal9Lveam7ifQlxusD6nNU+c/uEfVn5PahH5gfx1I7S1rm4Q+4Sgc+0tu+q/8Ofak9A9HYU5fcbqe1ekdAwYVLC1bp1NuOfLYY48N3Vp58Fu+QzCpF7zkW+29FvJri6OOOqr7MGhx6V3OgMHQqlW48Oc//3lLbifgM8lDNldZZZU+dykDOXgwDRf461//2nnw0PBUU0vlAoBtwPG6667zCZ+INH/84x9bckun3jZAHir95je/uW/epLafIZWAk8AQtfIx8u0yud1bb92VX2r9+te/Lp8ZEVEFFixY0FcuUkbyKwWmYgH5VUBvXZb3H/jAB4oD/rHEdr4rbTiTXSD/azo5J7755pvtiXvmbrXVVgPl88Mf/rAnRX3fpu4n0JcbrBupzVPnP7hH1Z+T2oR+YH8dSO0ta5uEPuEoHPtLbuqvSe4fjsKcvqKt1lV/HgMGFSwjuWdrvgN11VVXeW3pM5/5zIHY3/zmN16xTUr0f//3f10HuX9o/mIpAwbjKe3dd9+9Wy6mjr/97W8fz8Y0eK177733gPN///d/N3iPy+2aDBCa+ievm2yySec2WgwYlHPsTc1JYK9Guve2i1ALFy5Mt0Jy9hK47LLL+toUaVd22mknr9hJTvTd7353wO2MM85wkshDjnvbcHn/zne+0xk3iQnk14X55yC95CUv8aL44Ac/OOAstzRrwpS6n0BfbrCWpDZPnf/gHlV/TtVMmt4PrJq31NA69gnH5TjJ/cNRmNNXrP4xw7aFDBjYVMY8b4MNNug7QZcHvw372XDv5srD4fKdqM985jO9SSbivfwa48Mf/nDr/PPPt+4vAwZWluQz5RkH+fpJJz8++2677TbgzDeQp5wvvvjiAZtvf/vbnYUMGITXRU4Cw+3KRO6xxx599Xf27NkteTYB03gF8p1MOc599atfHe9G1WDt+W+0iZs8qNs1/ehHP+r7HEjcWWed5QqbyOXypaH8edf73/9+Lwv5tuXjHve4vnjfwQavFYwxUep+An25wcJNbZ46/8E9qv6cqpk0vR9YNW+poXXsE47DcdL7h6Mwp69Y/WOGbQsZMLCpjHGePOQtf2K/zz77eG/RRRddNBD/1re+1Tt+UhIyYDCekpYHGebr96JFi8azMQ1dq9wTeq211hpwzj8kuaG7P3S35J7C8tDo3joot3szEwMGRqL8KyeB5c3KRsjtiPIPNX/pS19aNhvSRxaQW7vMmDGjr12Ri4VFD5+OvPpaZyfHpfwFafmSzB133DF0v+Rhvb3tuLz/3e9+NzRmUheec845A1Zf/vKXvTnkuQW91ltssYV3bJ0TavoJ9OXCSl5j7rPG1Pn7bEPV0ozaZNL7gaP2bmqfMLYj/UN3yxTDnL6i27mKKRgwqFip9P4cyJygf+QjH/Heyj/84Q99J/aShzzYjKlfIEaj158jf/kIbL/99gP1U26xwRRP4JOf/OSA8dZbbx1vBTXO6ZRTTumzkW9n//a3v+3uEQMGXYrSbzgJLE1WOkB+JWTOC8zrueeeWzofAuIKHHPMMQPl4vsN7rhbUs/cbLeoeM5zntO5T7Ntj0499dQB76Z86922v9p58gs6016Y189+9rPe2coD7E2cvMrtjSZh0vQT6MuF1RCNuc8aU+fvsw1VSzNqk0nvB47au6l9wtiO9A/dLVMMc/qKbucqpmDAoGKlIg8T6z0xl/dlLgjIz4ny30B81rOeVbG9HP/mxGj0xr8X9dqCW265ZaBuyzcL5SfvTHEE5AGb+c+/tCHf+MY34qygxrksXry4tfrqq/fVwWOPPbZvjxgw6OMo9UfRSaAck+SbO7631Su10glLfOaZZ/bVX/ls5x86L9ZS1+WC1d133z1hQqPf3Xvuuae12mqr9ZWLtMHyUEImPwF5gHH+VwZStzfddNO+h0ZLW/Lud7+7z1rSrbrqqi15eDKTXcD2gOh3vOMd9sSWuUceeeSA+ST8YlHTT6AvZ6lIHrM05h7Zt1Ln77MNVUszShP6ga2R1sEm9wlj1lv6h36tUgxz+op+1lVLxYBBxUrE9kDDSy65pNRWbrzxxn0n9/JzYqZ+gRiNXn+O/OUSkG9cSue+9588kJpJL3Dbbbe1jjjiiIEHG4r1rrvu2pKfpE76dNhhh/XVvfXXX79133339bEwYNDHUeqP/Emg1L2VVlqpay7fSt1ss81ae+65Z6eunnzyya1bb7211DomPbEMcPW2n/L+/vvvb/3kJz9pveENb2g985nPHLjw+sQnPrFz/9rXv/71rV/84heTThh9/0866aSBMpF7NDOVE3jPe94z4Cj1WwYSDj/88JY8HHnHHXccSCODBT/+8Y/LrWzCUttuj/P0pz/d+7zgbW9724C7PHS66ZOmn0BfLqx2aMx91pg6f59tqFqaUZrQDxzNgMEk9Alj1lv6h36tUgxz+op+1lVLxYBBxUpE7ueevyBQtpOfv0e3DCAw9QvEaPT6c+SvYQLyLcy8udRz+akkk7+A/NroxS9+cWv//fdv7bfffi359ZDteQWmDZHnnzz00EP+K2hoyp/+9KcD7epXvvKVgb1lwGCAxHuG7STQ1MOiV/kmtlwE55vwfsyvfvWrB+rxM57xjIF5Rd6zZs1qnXDCCZ1ffPitkVTDBOTXHBtuuOGAPw+YH6ZWvOxDH/rQgGVRXZb58pwIGSxjcgusscYaA7Y+vzyUX4bJuUa+HOS5HU2f8ues8mBz34m+nK9UfzqNeX9O9r9S529fa7XnjsqEfuBUPYjpPcl9wliO9A/926cY5vQV/b2rlJIBgyqVRntb3vnOdw6cmN9www2ltjJ/f8AnPOEJpeInIXGMRm8SnGLto3z7Nd/hnDdvXuvvf/97rFVMRD677LLLgGPeVf5+/OMf3zr77LN56Ga7VsgFj2222abPbeedd7bWFwYMrCxeM7/2ta/1GdvqZdG8tddeu3XppZd6rWeSE8l92osMy8zfaaeduEVUhIp01llnDZSH3I+fKVzgoosuam2++eYDrvn6fcghh3D+UIL5TW9604DpKqus0vrc5z5nzUUe2C23QJMHHOft5QHfcguHpk+afgJ9ubDaoTH3WWPq/H22oWppRmVCP3Cq5GN6T3KfMIYj/cNyrVEMc/qK5cyrkpoBg6qUxD+2w3ZAlZ+WlZnyvzCQzhdTv0CMRq8/R/4qEpBfyEgHM9/pPO+884pCmF8g8OxnP3vAMe9q/pZBA7n38L333luQ22TMzj/wS26Nc91111l3ngEDK4vXTHkWidzmSeqffJtV7j8uAzXyKxh533t7IlNHe18llvu+D6fea6+9hn7+5V76e+yxR+ulL31p64UvfGFro402Kkz/+c9/fvjKWOoUmD9//oAvxzUn29AEcqHadpun3rZC3q+77rqtT3ziEwyKD9WcXviXv/xl4FkbxlT6DDIAc9xxx7X+7d/+rbVgwYLWmmuuOVC3TXp5nYTbyWn6CfTlputemXcac5/1pM7fZxuqlmYUJvQDp0s9pvck9wljONI/nK6XPu9imNNX9JGuXhoGDCpWJsccc8zASfrvf//7UluZP4BssskmpeInIXGMRm8SnLT7KPfXftrTnjZQpw8++GBt1hMZb7uXcG8n3vZeLhrKA/gmcZIL0PLt9V6Xo446qpCCAYNCGq8F8qyMoocbyzL5VuoHP/jB7sBCb7nIe7nVFlOxgDzzJW8m93iXXx784Ac/sF48/dnPfmb9xrbcSmfp0qXFK2PJUAG5b36+LJ785Ce35MG8TGECcnshubd+3nXY31tttVWr7Dly2NbVP6rsLZ+GuU/CFxE0/QT6cmGfF425zxpT5++zDVVLk9qEfmB/icf0nuQ+odaR/mF/vfT5S2tu1kFf0UjU55UBg4qV1fHHHz/QWfrtb39baiu32267vjzkG55M/QKxGr3+XPmrV0AOCLZbaKyzzjqtP/3pT71JeV9CQB7UK7dykn+3335767LLLmvJ/fiPPvroltxiwNbJnzt3bqvsrc1KbFJlk772ta/t85BfXQy7Xz4DBqMpymXLlrUOOuigvrIx9faaa64ZzUbUcC277bZbn5k88PWqq65y7om0FXJrQmNsXs8//3xnLAnsArb7un/sYx+zJ2auU0BufzN79uyBOirnCyeeeGLrjW98Y+GvlKRuX3HFFc51kKDVOuecc6xtgWkT8q8yIGmbJ+d3TZ80/QT6cmG1Q2Pus8bU+ftsQ9XSpDShHzhY2rG9J7VPqHWkfzhYN11ztOau/PPL6SvmRcb3NwMG47O3rnnhwoUDJ+c+FwR6M8vfkmjvvffuXcz7tsCoG71JRLd1mOR2MBdffPEkcoxkn+W2A7Z7FUuH/znPec5EffvV9hPo0047bWg5MGAwlCfqQrmIbbs/NrfKKWaWh5j3Xrwr83yiD3zgA32xks+pp55avDKWFArceOONA7fZW3311bmnfqHY8AUf/ehHB+qm1E+5pV7vAK/8lF1+ndj7GTDvZbD8lltuGb4ilnYE5DzhiCOO6Dw02vj1vsqtzbbddtuWfEte6vphhx3WZy6/2puESdNPoC8XVkM05j5rTJ2/zzZULU1KE/qBg6Wd0ju/tib3CTWO9A/zNcXvb4253xoGU9FXHDQZxxwGDMahPmSdH/7wh/tOzOUk/jvf+c6QiMFF0nHtPfl/1ateNZhowueMo9GbJPKPf/zjfXXQ1MdFixZNEsPY9vV1r3ud1X+Sbk0kDx819U5ed9hhB+eACQMGo62yn/nMZ/rKSMpJvknMZBc49NBD+7zkFwa+k/zCqPfzIO9lcJGpvIDt/uTU2/KOEvG73/1u4JcD8ryT008/vTBDGVS0/ZruBS94QWEMC+wC8ow0+VXX97///c6vFZcsWTKQUB6S3tt2yIM2J2HS9BPoy4XVEI25zxpT5++zDVVLk8qEfqC9pFN529c2NbeJfUKNI/3DYbWleJnGvDhX9xL6im6j1CkYMEgtXDL/r3/9630n5nKSLh8U30nuydZ7Yi/vZYSfqV9gXI1e/1Y0868vfelLLdvP2N/61rc2c4cruFfy4Eh52Hm+LZBO7CRM8q3U/L7L31tuueXQf3PmzBmI642RX2txj/J4Nejyyy8f8OYXccW+r3nNawa85OfoPtODDz44EHv44Yf7hJKmR+Cuu+4auFgtxzv5JjZTeQG5yJ9vq33OeS+66CLreQa3JipfBq6I/O3M5L7ZkzBp+gn05cJqiMbcZ42p8/fZhqqlSWFCP7C4lFN4F69takkT+4ShjvQPXbWleHmoeXGOfkvoK/o5pUzFgEFK3YC8f/7znw90noY9pDO/Cuks5TtfH/nIR/LJJv7vcTV6TYc/99xzW7NmzRqog69+9aubvuuV2z/5ZVG+LZiUcpCLd/l9j/X3TTfdVLmyrusGiWW+XPbcc8+67k7y7T7hhBMGvH796197rVc6jHnrl7/85V6xJJoWsN3aiUGuaZ8y7x566KGW3Kawt17KrfN874//lre8pS9W8vnkJz9ZZhNI6xCQh6b3lo+8/+pXv+qIasZiTT+BvlxYHdCY+6wxdf4+21C1NLFN6AcOL+HY3sPXNr20aX3CUEf6h9N1ouy7UPOy68mnp6+YFxn93wwYjN586BptvxAo89Bi230zv/vd7w5d5yQuHFej12RreTaB7Rva8nDT5cuXN3nXK7lv73//+wc6+v/+7/9eyW2NvVFyL+v8RY5Yf//hD3+IvbkTm58cm/LlcsABB0ysh2vHv/GNbwx4ffnLX3aFdZbffPPNA7FyvsDkLyAPYJs3b96AI8/l8TfsTXn11VcPWMpxy3eyfevs2GOP9Q0nnYfAS17ykr4ykl/T3HrrrR6R9U+i6SfQlwsrf425zxpT5++zDVVLE9OEfqC7dGN6u9c2naJpfcJQR/qH03Wi7LtQ87Lryaenr5gXGf3fDBiM3ty5RrkFRu9FFPkG1uLFi51xkmC77bbri5V7wT7wwANesZOUaFyNXlONpeMu99Purbfy/kUvelHrkUceaepuV3q/ZHAgXx7y7dhJmB5++OHCBzrmTcr8vemmm7Ykb6Y4ArZva3Mv+GLb3/72twOfad9nFNlukfG1r32teGUsGRD44he/OOD/9Kc/fSAdM/wE5Jvq+fb3s5/9rF9wO5U8BDkfz60PvfmcCeXCyowZM/qMJ+nXNNp+An05ZxUbSKA1H8gwNyN1/rnV1eLPWCb0A/2KO5a339qmUzWtTxjqSP9wuk6UfRdqXnY9+fT0FfMio/+bAYPRmzvXaHs4zYknnuiMu/TSS/tO7KUjJQ92YRoUGFejN7gl9Z9z7bXXttZcc82BurfHHnu0li5dWv8drOEeyK0eNttss4Ey+d73vlfDvQnbZHnWgNy3vcy/17/+9X1m6667bl88v5QJKwtb1L333muto+eff74tOfPaAlL/8gOz0vb6PMdg++2376vbcn7wq1/9CtcSAttuu+2AYZkL3CVWNRFJf/rTnw54HnPMMd77Lsez/IDBF77wBe94EhYLyBc9DjzwwAFfeXbEpEzafgJ9ufI1RWvuWmPq/F3rr+LyGCb0A/1LNoa3/9qmUjaxT6hxpH9YtgZNpdeYh62x1aKvGCoXN44Bg7ieUXKTE/J8J2i11VZrDbsVhoyYPuUpTxmIk1sYMA0KjKPRG9yK+s+Rb7zmH4gndVfuQ8wvW+KU77ve9a6WfKtPBgR9p6OPPnqgLZBy+fOf/+ybxUSme/Ob39znJu0Ek1vgN7/5Tavsw0blVmX549w666zTko4NU7GAPIck7+b6VcYZZ5wxELPVVltxq7hi5oEll1xyyYCh1FcZkGQKExC7/DOPxHTYua5ZkwyeyRdi8p8FBsGMUPirDEC+8IUvHLB92tOeFp5pDSO1/QT6cuULXWvuWmPq/F3rr+JyrQn9wHKlqvWmTzjlrXUsV2qtFv3DVktrTl+xbK2rTnoGDKpTFn1bss022wycrG+xxRYt+bDlJ3mAizznIN9xeupTn9qSUVSmQQFtozeY4+TNueuuu1obb7zxQL2bP39+Z0R48kTS7PEznvGMrvEuu+zS+spXvlI4GHPbbbe1XvrSl3bT97YJcoGWabgAJ4TDfYqWyoUkqWtySzy5p758I6Ro+slPftKSetxbN8378847ryiM+f8QsD1MU/yOOuoo68Ni5b61ct9xY2xef/CDH2BaQkAGbY2deT3uuONK5EBSm4DtVxsyb9iF/7/97W8t2wMc11hjjZY83JtpUECeYSK/VL7wwguH3lZP+hP5W5tKfZfnU1122WWDGTd4Tox+An25chUkhvmwNabOf9i6q7pMY0I/sHyparxlbfQJp8y1jmVLjv6hfsCAvmLZWled9I+TTWmfDDJVTOCCCy7I9ttvP+tWbb755tnOO++ctb+Jlf3v//5v1j6Jz9rfyuxL237uQfb9738/a38Dq2/+JP1xxBFHZNddd511l3/xi1/0zW93hrKtt966b578Ic4f/ehHB+YzI8s+9KEPZW9/+9utFLNnz7bOL5rZvsidte8PXbR4oue3fzmU3XTTTX0G7duSZDvssEPWvu1Qtv7662ftB+x10lx11VVZ+zZQfWnlj/bATuezsPbaaw8sY8a0wFve8pbs1FNP7c5on5Bm7V9ldP/mjV3gSU96Up+TfP532mmnrP3Mh6z9kFj5YkLWvt941r4YVdgmv+ENb8g+9alP2VfA3D6B5z3veZ3jft/M9h/SVixYsCCTcwRpM372s59lv//97/PJsv333z9rD84MzGeGXaD9Dcqs3Unv1GOTQs6xxFbaVqZwgS996UvZK1/5yoEM2oNcWfsZSNmzn/3sjvHKK6+c3XnnndkNN9yQtQfNs/YvGAdivvnNb2bth/QOzGdGlp1yyilZe4CrQ9H+xXKnfW7fpiyTY5zU5T/96U9Z+x7k1nZFgqScXvGKVzSOMnU/gb7cYJVJbZ46/8E9qv6cVCb0A+1ln8pb1jZJfcKUjvaSK547Kf3DlOb0FYvrV+WXVGfsgi3JCxx//PED32hrVyiveR/72Mfy2U3U3/fff7+Xk8tz7ty5E+VWZmePPPLIKMZSBvIwWSa7gDwLwlVPhy2Xh6bLvaKZ3AJ8g8RtZEth+6XRsDqZXyb31+d5JzZZ+7wlS5a0Ntpoo6B2Qb49fOutt9ozZq5VoN2BGrBuX5i2pmVmeYH/+I//GPDNtxGuv4899tjyK56gCPl1gcuwaPn/+3//r5FSo+on0Jebrj6pzVPnP70n9XmX0oR+4GA9SOkta5uUPmFqx8GSGz5nEvqHqc3pKw6vY1Veyi2JKlw6co/W9je4WzNmzPA+0ZcHIp555pkV3qvRbNrdd9/tbVbUSZL58tBTJruA3AJjmF2ZZZtssol9JcxtXXPNNS25vVgZT5NW7kM87NYO8PYLTMIJYf8ex/lLLtaZOlfm9fGPf3zrE5/4REsesMlUTqD967lSgwZyHiG30Fm2bFm5FU146r///e8t+eJAvl4zCBuvYsitM9/0pje12r8iGHDOu+f/lod+yz2deSD98PKQWxnm7Vx/y+BimWcnDd+C6i0dVT+Bvtx02ac2T53/9J7U511KE/qBg/UgpbesbVL6hKkdB0tu+JxJ6B+mNqevOLyOVXkpAwZVLp1/bJt0TA844IDOPUSLTvDlwrY86LR9G4Ia7NFoNlEe6ljk5Tt/1113Hc3G1nAtci9cGaDytRyW7uCDD66hwOg2WS6oiPchhxwy8NChvOvqq6/eat9Kq3XxxRePbgMbsqYPfvCDffVZ7j/M5CfQvh1W5z76T37yk/sM8/VTHnLa/kl1S751OexZB35rnexUDz/8cKt9yzzrg+eNu3jLw2F/+MMfTjZW4N7ffvvtAwMG7Vs6BeZG2DCB9m1xWu94xzta8uBjU3+LXtu34mu9733vow0ZBtqzTJ7t8IEPfKDT9haZynw5f2jf7rDVvkWk9ZkoPVk24u0o+wn05aaqTGrz1PnXseKnMqEfaK8NqbzN2ialT5ja0Xj6vE5K/zC1OX1Fn9pWvTQ8w6B9hlyXqf1Nt6z9beGsfTuC7C9/+Usm94mW+0PLv/aFrc7fddkXthMBBMIF5D7O7duKdNqB9kPHsvbDHrP2Q9E7/574xCeGZ0xk1n6gZiZtrTzXRNrW9jezUSkpIM/UuP766zuWUj/bnZvO8zbk3qvy3I32ReySOZJ8mED71DK74447svaDTbNbbrml80yj9q83MmkL2g+hz9Zaa61h4SxzCLQHZjptbfubwln7gmr2hCc8wRHBYq2AtMO33XZb5588u0DaDHleRPvXiJ1/8hwfpjABeV7Br3/9685zC9qDtln7FzSdcwdpn+WYx5RWgL5cWl9yR2DSBOgTjqbE6R/GdaavGNczZW4MGKTUJW8EEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBGoiwIBBTQqKzUQAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAIKUAAwYpdckbAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAIGaCDBgUJOCYjMRQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEgpwIBBSl3yRgABBBBAAAEEEEAAAQQQQAABBBBAAAEEEECgJgIMGNSkoNhMBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQRSCjBgkFKXvBFAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQqIkAAwY1KSg2EwEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQACBlAIMGKTUJW8EEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBGoiwIBBTQqKzUQAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAIKUAAwYpdckbAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAIGaCDBgUJOCYjMRQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEgpwIBBSl3yRgABBBBAAAEEEEAAAQQQQAABBBBAAAEEEECgJgIMGNSkoNhMBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQRSC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Sequences 21: Combinatorial Summations","description":"Create the function S(n), defined by the following summation:\r\n                               \r\nThe symbol  is the combination function ('nchoosek(a,b)' in MATLAB). 'S(n)' always yields an integer value,  if 'n' is a positive integer. Present the output modulo 1234567.\r\nNOTE: S(n) may have positive or negative values. Therefore, please use the 'mod' function instead of the 'rem' function to ensure the result would be a positive modulus.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440000534057617px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 205px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eCreate the function S(n), defined by the following summation\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 66px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e                               \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"224\" height=\"60\" style=\"vertical-align: baseline;width: 224px;height: 60px\" src=\"data:image/gif;base64,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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 49px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eThe symbol \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"15\" height=\"22\" style=\"vertical-align: baseline;width: 15px;height: 22px\" src=\"data:image/gif;base64,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\" data-image-state=\"image-loaded\"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e is the combination function ('nchoosek(a,b)' in MATLAB). 'S(n)' always yields an integer value,  if 'n' is a positive integer. Present the output modulo 1234567.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eNOTE:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e S(n) may have positive or negative values. Therefore, please use the 'mod' function instead of the 'rem' function to ensure the result would be a positive modulus.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function s = S(n)\r\n    s = mod(sum(arrayfun(@(k) (-1)^k*nchoosek((10^n-1),2*k),0:(10^n-2)/2)),1234567);\r\nend","test_suite":"%%\r\nn = 1;\r\ns_correct = 16;\r\nassert(isequal(S(n),s_correct))\r\n%%\r\nn = 2;\r\ns_correct = 1057020;\r\nassert(isequal(S(n),s_correct))\r\n%%\r\nn = 3;\r\ns_correct = 915039;\r\nassert(isequal(S(n),s_correct))\r\n%%\r\nn = 4;\r\ns_correct = 254383;\r\nassert(isequal(S(n),s_correct))\r\n%%\r\nn = 5;\r\ns_correct = 401225;\r\nassert(isequal(S(n),s_correct))\r\n%%\r\nns = 6:20;\r\nss = sum(arrayfun(@(n) S(n),ns))\r\nss_correct = 7742071;\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nfiletext = fileread('S.m');\r\nnot_allowed = contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":3,"comments_count":6,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":9,"test_suite_updated_at":"2021-09-19T20:21:05.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-18T16:25:58.000Z","updated_at":"2025-12-22T16:43:13.000Z","published_at":"2021-09-18T18:10:29.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCreate the function S(n), defined by the following summation\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                               \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"60\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"224\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe symbol \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"22\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"15\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the combination function ('nchoosek(a,b)' in MATLAB). 'S(n)' always yields an integer value,  if 'n' is a positive integer. Present the output modulo 1234567.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eNOTE:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e S(n) may have positive or negative values. Therefore, please use the 'mod' function instead of the 'rem' function to ensure the result would be a positive modulus.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.gif\",\"relationshipId\":\"rId1\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image2.gif\",\"relationshipId\":\"rId2\"}]},{\"partUri\":\"/media/image1.gif\",\"contentType\":\"image/gif\",\"content\":\"data:image/gif;base64,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\",\"relationship\":null},{\"partUri\":\"/media/image2.gif\",\"contentType\":\"image/gif\",\"content\":\"data:image/gif;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"problem_search":{"errors":[],"problems":[{"id":52774,"title":"Easy Sequences 23: Hat Guessing Game!","description":"Consider the following Game Show:\r\nHats, with numbers written on each, were placed on the heads of the participants. Participants can see the numbers on all hats, except their own. Each participant were asked to add all the numbers they do see and write the sum on a piece of paper card. The participants were then asked to hide their hats and show only their cards with numbers, to you, the contestant. For a prize of a million dollars, you were asked to guess the numbers written on each participant's hat.\r\nAssuming that all sums are correct, will you be the next millionare? Let's find out...","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440000534057617px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 144px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eConsider the following Game Show:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eHats, with numbers written on each, were placed on the heads of the participants. Participants can see the numbers on all hats, except their own. Each participant were asked to add all the numbers they do see and write the sum on a piece of paper card. The participants were then asked to hide their hats and show only their cards with numbers, to you, the contestant. For a prize of a million dollars, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eyou were asked to guess the numbers written on each participant's hat.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eAssuming that all sums are correct, will you be the next millionare? Let's find out...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function nums = hatNumbers(sums)\r\n    nums = sums;\r\nend","test_suite":"%%\r\nsums = [667 658 645 688 629 625 713 630 637 678];\r\nnums_correct = [63 72 85 42 101 105 17 100 93 52];\r\nassert(isequal(hatNumbers(sums),nums_correct))\r\n%%\r\nsums = [1460 1459 1394 1416 1411 1428 1439 1394 1393 1395 1471 1470 ...\r\n        1469 1468 1395 1408 1407 1408 1395 1384 1439 1428 1406 1395 1460];\r\nnums_correct = [23 24 89 67 72 55 44 89 90 88 12 13 14 15 88 75 76 75 88 99 44 55 77 88 23];\r\nassert(isequal(hatNumbers(sums),nums_correct))\r\n%%\r\nsums = [ ...\r\n4892 4927 4901 4949 4896 4963 4939 4962 4957 4884 4897 4935 4871 4963 4923 4928 4890 4887 4948 4918 ...\r\n4922 4902 4896 4891 4939 4899 4901 4950 4955 4917 4871 4932 4908 4944 4891 4941 4916 4897 4877 4871 ...\r\n4912 4953 4952 4941 4882 4941 4885 4942 4874 4932 4947 4941 4905 4919 4931 4883 4908 4912 4875 4938 ...\r\n4891 4891 4928 4910 4959 4961 4913 4889 4873 4954 4910 4920 4965 4933 4950 4887 4935 4914 4950 4906 ...\r\n4940 4901 4898 4892 4921 4958 4944 4875 4951 4884 4913 4867 4959 4922 4956 4870 4966 4889 4885 4880 ...\r\n];\r\nnums = hatNumbers(sums);\r\nnums_stats = round([std(nums) mean(nums) mode(nums) median(nums)],4);\r\nassert(isequal(nums_stats,[28.8090 49.6700 26.0000 50.5000]))\r\n%%\r\nnums = randi(1000,1,1000).*97+2;\r\nsums = arrayfun(@(n) sum(nums(n-1:-1:1))+sum(nums(n+1:end)), 1:length(nums));\r\nassert(isequal(hatNumbers(sums),nums))\r\n%%\r\nfiletext = fileread('hatNumbers.m');\r\nblocked = {'solve' 'fsolve' 'dsolve' 'linsolve' 'mldivide' 'mrdivide' '\\' '/'};\r\nnot_allowed = any(arrayfun(@(s) contains(filetext, blocked{s}), 1:8));\r\nassert(~not_allowed)\r\n\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":29,"test_suite_updated_at":"2021-09-24T08:03:12.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-22T11:19:54.000Z","updated_at":"2025-12-07T16:32:52.000Z","published_at":"2021-09-24T08:03:12.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eConsider the following Game Show:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHats, with numbers written on each, were placed on the heads of the participants. Participants can see the numbers on all hats, except their own. Each participant were asked to add all the numbers they do see and write the sum on a piece of paper card. The participants were then asked to hide their hats and show only their cards with numbers, to you, the contestant. For a prize of a million dollars, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eyou were asked to guess the numbers written on each participant's hat.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAssuming that all sums are correct, will you be the next millionare? Let's find out...\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":52824,"title":"Easy Sequences 31: N-N's Sequence","description":"We define the N-N's Sequence, as the series of all positive integers in ascending order and with repetition, wherein any number  appears  times. The first few elements of this sequence are as follows:\r\n                        \r\nAs you can see,  appears  times,  appears  times,  appears  times, etc...\r\nWrite a function that output the number  occuping the  position.","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: 132px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 66px; transform-origin: 407px 66px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 376px 8px; transform-origin: 376px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWe define the N-N's Sequence, as the series of all positive integers in ascending order and with repetition, wherein any number \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: 30px 8px; transform-origin: 30px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e appears \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: 192.5px 8px; transform-origin: 192.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e times. The first few elements of this sequence are as follows:\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: 48px 8px; transform-origin: 48px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                        \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABAwAAAAlCAYAAADGD3ubAAAN4ElEQVR4nO2dYXHrOhBGPw5hEAIhEARBEAZlEAalEAyBEA6lUAyl0PvD3vFakSzF2t00vt+Z8bx5vamV49qydrWWAUIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEkBB2AE4ALgDOL/4uhBBCCCGEEEIIyXPGELufMMTybuwAXAH8jv89ATh4NkgIIYQQQgghhJDV7DHE7jqWN08c7AB8jQ2wqoAQQgghhBBCCHkvzhhi+i/rHX9gykasZQ/nEoixjeO4ebcF1VZEpcVOtRfBYWxrH9BWtFuu7YjzBRiOa1Rlzpbc5HzMbVfYnqf6fEy3E4BPw7YAunmxw1SCdx//63ktHMY2rpiq8Lygmx3WbkvXWG7rdVu6xtKtt3+mG93WoF29xyPaNWKsRTcb6BbPDQ6FAJdxp5cVv7vHVP7gdaBOAL7HNvR2h/2AVD+aobcfDIkVa06Yqjv09gn7k1zcfpK2vuETzEe6lZD2Iy7i09jWLaAtYDtuOzyek+l1bon0d6XN8lqgmz1HTDfCO3yr4nYYjqncfy7wTYLQzQZPN5m5adl+DNrNjX1KW29CkG50a0XG/j8Yrq+L+n+PsfkZwzG9qfa+4DM2p5sddHsdPbG96U5zgbVH4PKJmM4P436WBsAWHbtGOnmZZfnE/CZjOeCWx05+xnYumAZvHsFEpFsJHTx5B9U6eIpIGGzJbctBLt1s0fcD78fnDpj6LI/BRgrdbPB2yyXBva45SdS2br3XHN3o1sIBUxCWTv7Iv1mOzSXWyFUHyb9Zjc3pRrcWIt3W8icSBvIWhXQG2TpwOY771aWtUs6og0+rZzTu4371gOaAx8SIRbnmcWxr6WSzHHTfkV8AQy4ky4Ai2q30HfTfzDuovqu2vBMGW3KTIDcqGyuzjhEVLnSzbU/uNV4VURo9Y+ddEUU3O7zdpO+tJT0+Gz9X44560mOH6fj2QDe6tSLj79JY2OIxZ6HlWWwZw1oEg3SjW41ot7X8iYRB7nc9ApcvlP+46Wxab9uncX+l/WhPi6DpvtDWXrVlMSCXUtASEsT/GLQFxLrlkHNDV1B4BtUSqMnA2DNhsDW3D9hmfWtIhU0EdLNDJ608n68H5gm53GyFNXSzIcLtirb71jf6r4892hKAMnjtvfbpRrcWDqiPPeRatBhTylhnaewh/UzvmJJudGsh0q2H/yZhIGWFS52uLnPs/aPcKvuQbLDFCSdVEktYDrJOWL5JyN/QolIj2i3HDcPFqgeQnov1SbWEdBCeCYOtuUkyImJhGhmgfSBm3Qe62aDvMd4JEZ2IjkiI0M2GKLeW2VnpN3sr9mSR5xoyeO2t3qAb3VrQY4/SGE4+01s9AUxjj6XxqXymt3qCbnRrIdKth/8mYXBCPQmgT5LehEHLit5yAljNxJeQWfio8mKpMIjIhHm7fYz7lpu2Z1C9G9uS68Y7YbA1t9xCTV/jzz3OjXQRqh8M577H8aObDboiKSLI1Y9MeQe5dLMj0q2GTGSYDtIKyETGD2LGCnSz4Z3d9OTZF/LfX9qzuBZr65/oY9nbz9CNbi1EuvXw3yQMWtBBk/ezkcAUNHkv2CfH1LuEE5hmZiLKUwFfN1mPQc4F76D6ivm54Jkw2KLb0irS2tWC2irSufU9eqCbDfrGLI+neb2mVQ86fjHd6L1eQUs3G6Ldasj1EdGuXPsWz+W2QDcb3t1NJ+jSsaOMVWRyoxedfMyNHeW7WAVFdKNbjWi3tTBhoJBON2omXjpdz5n4M4YTOypZ8IUhCIw4ft5uX5hnDz2DannVp96vZ8Jgq27Hsb30LRqljrgHqcz4wOMbQnI3mV7o1o9ep+YT82fiZbvBZhAgiyLJPeWStC8/t+r/6faebktI6bfVQsw15FqPGC/QzY53d9OLmepEsawFZp2kTpPiUhF8Q3mB7bXQzQ66vRaXhIFkQ9Y8a/HKhEFkFkeX0ntkoA+YD/Q9VyCXdQb0oMrz1VoRbp94LEXyCqrl9Zvp9eIVVG/ZLSU9Lz1LNqVz152+Z19Ct+fQCxnpoE9mqfWMgkXpX3q8rhhu+kc8vpmnt6yRbu/pVoNl7TbQzQ4vtzRAEyevQClXSec12UU3O+j2OizfDAFgChDWdl6vShhIKX1UdYF4egTxMgOTm6mzHuAcMS2cl7bl8bxNhNsR+TdceAXVd+QvQI+gestuJdJO33sQpzt970Ec3drR7zIv9fPar3cGTX/3XD+f+vUMQuj2nm41WNZuA93s8HQrBWhesUAuQPN6NSzd7KDba5A42WTsJ6UaafnxM7wqYSDtRqxdoJ/z9yY3M+h5XNOZQc+A0MNt6X3wHkH10rvurYPqLbvVkETmL2KuO/3MtXefQrc2WlfZ14ODHr+WxKkOhnv86PaebkuwrN0Outng7SbX+iceHwOy9jtg8LjjccLLYw0uutlAt9cibxxc/ZiEzoj0ZjlfkTCQTjDqdRU3lFfe9EIP8r1nIfUgP6JMztLthnIQax1Uy3lX2pd1UL1ltxakdNn7rSTAfBGbiGed6VZH31uWvrf+XE9/ogPP1s+t7Svp9p5uS7Cs3Qa62eHpJv28BCF7PAZNVglqWbROB2EfeHys1gq62UC3v4M+DqtiZ1nc7J0qDOR1b1GvTpJX2UWvz6BXfo4I0nQQ7+1q5SYXpzyvmm56Mayz+vmaG7Wcd9dCW0dMM2Z39bO1x3LLbq3IrGBEUA1MjhFBNd3q6HN86Xvr5FlPf6KTpkvoG2/P9U2393NbgmXtNtDNDi83Gffnrlu9Rsm3QVtSaZm7bg+YB2gWk4h0o1uNaLceuisMNO+0hoE8mxKVLJAFk6KTBULkrK7nqvs5LNxy6zC0bGv89PF5Zlvrt2W3Z7+XRQffghzziA6ebu37+cXyDJlV4CnHqHYvtAg86faebiXEJaqsXVwiytrpZsdW3CQgKnnoR097Z3QlAVny0IusWszo0o1uNaLd1mK6hoEg2Zc1s09RCYP/LVkATDeXiFlBublEzXhauMmCiqVNPyOrnzNak20/VNq6Yz7TJT9bWwq4ZbdWZKY6ajZGjmnETBPd6rRWIrUGqDVaq6xaA9Ql6PaebiVe8camqLJ2utmwFbeWySUdMPWOX1smlyQY7B2/0o1uLUS69SAVTaZxc8+7GqMSBi3JAqusbe499CkH+A++v+Hz5oIcLifWAhFu71g10cqW3YT0eTRPZDAXNdNEtzbkprtUraDX5OlpUw8olioxpMy393jS7T3dckhCNeJebf6qrAp0s2Erbq1jj8jgTOKQiMAToFsLdHt9wqAntnfZ6TMJg+P4+TOey7BeUS/rOGPeEe8wnBSXhu+lkedPlkpWpNpBd8Rr3UrIBZAL4Ne6LXFHOUnyrm4tnYilW60Todv880eUBzMS5Jau+2fdDli+piXIzX2GbvPPR7rp1e1LQaXMMKfB6ZrrTSoxSkGlnj1Pg1O6TWzZLUVcWx7BsbgHiGvL40V0K0O3gTVukowouejrLb1XPOsmiZYlF+lL0mQM3ebQ7fVuur3cOErcSx5Lv5vytgkDvVL3MzOVMtj9HNvKbbkBsV7koiWZAUzJgq+Fti4YThI9IH7WTb+VIPe+ztzqm5pn3fTALBc0LM0I/nW3JWpB9dpzskQtqKbbhF4U5oL5uSAJua/Cfp5104uw5ZJiMtNZ6v/oNhHpJsi5l3tTjV58KO3b1lxv+rrK3bDlfpcmROj2yJbdct+3pTqv9x6gy9prA0a6LUO3+WefcZPrqfT2MLkvpd99jZvuK3LXtizanPvudJtDt9e76fZyjydp93TcVvvdlD+VMNhjOii139dlg7LVOs70pFna0pmFW/LvtTKwdGXL2nZKfvcZt/QE/cGUELliOKZLJTPPuqXHUZ4/v2A4bje0PffzF92WqAXVa87JJWpBNd0e9yfbN4ZzRN6de0W5M3zWLbeo43VsTyprlkqi6fYaN2Gn2r1jOt/3GPoveZtIytrr7Yz5YEC/MkmugVwilG5ztuymKSU+cvTeA8SlVnEJ0K0G3QbWuslEVJogljc8WV5vstL777h/2a+8Ns+6L6Hb43ek2+PvrXHT7eUSiNo9TfjVfjflTyQM9igvynZFOSCUQWzLAlynwv5LW5rlOWA48PKHq51w8tmWLXfSPeMGDB35NdnnBW3Pcj7rJiUu2uFz/FlrWctfdavtS75D6Ts/67aEXBOl64huc86YX3cS6Hqck7k+S0rQatBtTqSb5oi5p9xrlhIUa6836TO15wXLA3C65dmym/TDrbPAvfcAOY6taz7QLQ/d5p9f67bH9F0jrrcz5mNLz76EbnPoludZN2DoB27I9we7cR+5Cu3a76b8iYRBL0fEvU4MyCcUvKCbHXSzgW520M0GutlBNxvoZgfdbKCbHXSzgW7vwyYSBjfEvCoQmMpGIl5jA9DNCrrZQTcb6GYH3Wygmx10s4FudtDNBrrZQbf34e0TBlJqEcEB5QW4PKCbDXSzg2420M0OutlANzvoZgPd7KCbDXSzg27vhUtsf8a6hVzWtBNVWrLD8MePeL8uQDcr6GYH3Wygmx10s4FudtDNBrrZQTcb6GYH3d4PWUDR1E1eh/WL9kVZCCGEEEIIIYQQ8jeQQoDSaya7kJUZpdLgiLjsDiGEEEIIIYQQQp7jgGHSX8fyrus/7DFkJlpfy0UIIYQQQgghhJB4JHY/IW6hSEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGE/N/8A176kSy3idycAAAAAElFTkSuQmCC\" style=\"width: 518px; height: 18.5px;\" width=\"518\" height=\"18.5\"\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: 52.5px 8px; transform-origin: 52.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAs you can see, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e4\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 30px 8px; transform-origin: 30px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e appears \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e4\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 22.5px 8px; transform-origin: 22.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e times, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e7\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 30px 8px; transform-origin: 30px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e appears \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e7\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 22.5px 8px; transform-origin: 22.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e times, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAABJUlEQVRYhe2WbRGEIBCGnw42oIAFTGACG9jABlYwgxHocBXMYAXvh3ByzqGwfowzxzvDD5nd5WGXFSApKelZUkAm8CnMOBWkAyYgD/SpgAHogcb4j0BN/KY+yhwQO0KArE+7mq/NvJZAlcw7K4FXBJBddPAsqj2wUWoCgTLmsmwtWAXGOgWoduxKj41ybMRZCgVyS6s27GwWh6uBrM24E08TBn4IKBcC+Up7GKgQAtV3APUR8W4B0jvx2ruBHlEyhECin2Mo0BAJNHJh28P3RRySyZcEJgbIPUeVx8b9X4nOTwwQLOXwdZrtMN9r4HQgxXJXrW3d14D4BalYDutk4PaUm4VHB0qxXL6i60Ixp1f/GB379c+MTW98evMt6qqkpKSkv9UbptKi8sNv99EAAAAASUVORK5CYII=\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 30px 8px; transform-origin: 30px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e appears \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAABJUlEQVRYhe2WbRGEIBCGnw42oIAFTGACG9jABlYwgxHocBXMYAXvh3ByzqGwfowzxzvDD5nd5WGXFSApKelZUkAm8CnMOBWkAyYgD/SpgAHogcb4j0BN/KY+yhwQO0KArE+7mq/NvJZAlcw7K4FXBJBddPAsqj2wUWoCgTLmsmwtWAXGOgWoduxKj41ybMRZCgVyS6s27GwWh6uBrM24E08TBn4IKBcC+Up7GKgQAtV3APUR8W4B0jvx2ruBHlEyhECin2Mo0BAJNHJh28P3RRySyZcEJgbIPUeVx8b9X4nOTwwQLOXwdZrtMN9r4HQgxXJXrW3d14D4BalYDutk4PaUm4VHB0qxXL6i60Ixp1f/GB379c+MTW98evMt6qqkpKSkv9UbptKi8sNv99EAAAAASUVORK5CYII=\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 38px 8px; transform-origin: 38px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e times, etc...\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: 140.5px 8px; transform-origin: 140.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eWrite a function that output the number \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: 50px 8px; transform-origin: 50px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e occuping the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 26.5px; height: 18px;\" width=\"26.5\" 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: 32.5px 8px; transform-origin: 32.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e position.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function n = nnPos(k)\r\n    n = k;\r\nend","test_suite":"%%\r\nk = 1;\r\nn_correct = 1;\r\nassert(isequal(nnPos(k),n_correct))\r\n%%\r\nk = 20;\r\nn_correct = 6;\r\nassert(isequal(nnPos(k),n_correct))\r\n%%\r\nk = 1000;\r\nn_correct = 45;\r\nassert(isequal(nnPos(k),n_correct))\r\n%%\r\nks = 12345:12345:246900;\r\nns_correct = [157 222 272 314 351 385 416 444 471 497 521 544 567 588 609 629 648 667 685 703];\r\nassert(isequal(nnPos(ks),ns_correct))\r\n%%\r\nk = 2000000;\r\nn_correct = 2000;\r\nassert(isequal(nnPos(k),n_correct))\r\n%%\r\nk = 123456789;\r\nn_correct = 15713;\r\nassert(isequal(nnPos(k),n_correct))\r\n%%\r\nk = intmax;\r\nn_correct = 65536;\r\nassert(isequal(nnPos(k),n_correct))\r\n%%\r\nk = intmax('int64');\r\nn_correct = 4294967296;\r\nassert(isequal(nnPos(k),n_correct))","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":14,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-28T18:15:10.000Z","updated_at":"2025-12-22T17:00:59.000Z","published_at":"2021-09-28T18:16:17.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWe define the N-N's Sequence, as the series of all positive integers in ascending order and with repetition, wherein any number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e appears \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e times. The first few elements of this sequence are as follows:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                        \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\left \\\\{ 1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8 ...\\\\right \\\\} \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\u003eAs you can see, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e appears \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e times, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e7\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e appears \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e7\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e times, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e10\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e appears \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e10\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e times, etc...\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\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\u003eWrite a function that output the number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e occuping the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ek\\\\mbox{-}th\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e position.\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":52779,"title":"Easy Sequences 25: Product of Series","description":"The function 'P(n)' is defined as the series product:\r\n                            \r\nwhere 'T(n)' is the triangular sum:\r\n                            \r\nIt can be proven that P(n) is convergent, with:\r\n                            \r\nWrite a function that outputs the integer value of 'n' when '3 - P(n)' first becomes less than or equal to a given tolerance 't'.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440000534057617px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 256px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eThe function 'P(n)' is defined as the series product:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 46px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e                            \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-17px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPkAAABcCAYAAACsnhPNAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAAA+aADAAQAAAABAAAAXAAAAAABidyBAAAUMUlEQVR4Ae2bCbBWxZXHJYqgGbe4RUTAicqYjEFFsQSXAgHJjJqKJk4UNWgENTFxGx0mlQwlwTKb5RZrShI1mKgTxy0uGOIajIkTFQuNC0Z9qCxJFJSYqCCY+f+gT2gv997v3m953/1451T9X3efPn2677nf6T7dfd8GGzi5BdwCbgG3gFvALeAWcAu4BdwCbgG3gFvALeAWcAu4BdwCbgG3gFvALeAWcAu4BdwCbgG3gFvALeAWcAu4BdwCboGKWaCXxrNRNKY+Ud6zbgG3QIdaYBuN+2LhQeFNYZzwCeER4X3hBsHJLeAW6GAL9NbY9xPeFd4S9haeFb4uvCe8Lji5BdwCHW6BARr/34R7hLnCYGEzYZXwkODkFnALdLgFTtb4cfKVwpHhWQ4NvKmh7IlbwC3QwRa4UWPHye+OnuF7gTci4nnWLeAW6EALfEhjXiIsFwZG439SeQ7i4tP2qNqzbgG3QKdYYJgGyip+SzTg7SPedsofFtV5tgdagJXAqXMtMDYM/aboEYaH/MtKCeVfjeo86xZwC3SYBe7TeLkq2zIa98HKs7q/Jhwe8T3rFnALrEcWGKRn8f34evRC/VHcAm4Bt4BbwC3gFsiwwLHivyTwAVGjNEcK/r1RJc1u7yFdsy1av77Pqyn/ZFIFmq1BLKzCQFo8hi9L/+XCRIHPgmPaRIVdhF2FIcJQ4RnhPCGLzlbFLGEH4ZwsIef3XAvwDyUcmFUBVTmww2G4768X09Q2i/jmf4VwQYbAWeJ3CfF7mZwhG7OPC22YtCtBVVk5KmGMNg+C6y5WgN0E7rfTiNUmvi5Lk8njceW2Y4bAO+I/LSwWpghPCO0kwuelAtEm3+E/KjwuYIMDhfhrvvNVRuaAUMcqDE0QZpBJ0FYq83yAT4GZWLPoWlUcHyr3VfpYlmDE/6byZwrDhGcjvmfdAqstwI+aVYDVK7mqv7haov4/F6XopA/4/NtqlegIDYax/Z/A5BfTdBXMNi/EFcpvLjwX6vsl6qx4mzJcPX7MGDnp3aqjLyacot+V9JXsIoHw/h8EJ7dAqgUmiWs/ZEtb4eQzU3tvP/NyDYEDsU1ThtIlntnkipR6VnaikjTioI22P0irTPBwaptsb0nU1Sp+RQL0w1jaSkVnprYOsod2/kA3PXd39VP2cUapwdeFtxMNOQwbFPF+HuUtyyp9rxUS6RdDOWsvHosPVWGLwMjSF8vHeaKN14UvCL3iCs+7BcwCH1GGlSBGK1byk6zDiqU7azxpzvGlyCbLlU8Lh/mf+kFCknYSY5Xwu2RFRvk/xTf7o7Ms/VQNaM+E1TZi/+fkFqiiBboyBjUm4j+s/F+ismXnWSaRjleZ6PW+BD+raH0tkAA62TpwMJqk+WIQ1ifpfjGOFk4UyDu5BT5ggZ6+kn/AGKHAorRMsNX1P9KEcni/DG051KtFOPS7An3NCMLbKr1VYDtgY+Dc4BghjZgQkFuYVuk8t4A7+bq/geFimXORDllXJJfTFdqzr69FYyVgfR0fCQ9Q/s8Ckw1bHSKDLOqlipUCW4S2Rc15A8wauPPdAu2yAI5nxH3+XCsUSHE4u1JbUkDeQnVELbzvr/ws4RWBO/OrhfeFLGKSeEPAz6zvLNmW8d3JW2ZaV9wCC8SO94uS+gm1NxZYVdP2z0l1owODO/dFAlHDb4SXhf2F54UiZBMKE0RbyJ28LWb3TuuwwBZqMyxql3Z1FlWvk90hcOzeex2BiMGEYFsBrs7Yc+Pg9HmYwFd3RckmFL6yawu1y8mP1dNyYLFZk56aU9NfCzs3SZ+rqZ4FRmpItq8lRL6n5BDtFJ6v0WrRIRIgvIcOF64XiALOFthjlyH7xLZsuzJ95Mq2w8n5z5+fCBcIZWbEvAfhPpK9D59AFvlUMU+X11XTAnGo/piGaGFw0dEuDIIfVtqnRiML1REbGGQ3VHpCyJdJtg7CC8o06k7Zu9QZ4UYacCo+vr9TuEw4SqhF+0lghYCDN5v4KGKO8IRQZLZudv/N1uen6x+06O9VtNPuqR+sKlz6U9DRr0aL+UGuS+keAl/d0Te/d1vhlS1Edg23RSHpNgntrn5xaDMw6beEkwSc1QwH/zZheyGN2JPMF24VyhpKTQoRL+8PwlWFpKst5E6+9v0MUjb+/Q1fW1UqxyKAnn1yWu0aZJD7bpD7UcT7l8ArkvCbR0+zItYifdYt81AYLAOemdDCDPViVM8VQxoxAfARQavD6a+qD8bJJNTJ5E6+9u1NUpZ3Cv4qEDrXQ9epETrOyml8WpBB7tAgt1fEmx14JIT1h0TlZPbTYqDnV8mKqpV7a0AcWjBYwJ46SexVrH658snviY8N9T9INmxBmVB9ocCYk+NoQXctU+lOvta09ytrv69GHIZVGD13rFW9Tu7mIEOYvUlUy0GfjeFI5VmlXxHGCVl0mSpoc2qWQFX4B4SB2gOmrcSEP1ZP+qnE4PmYAP6gBL9VxXOkmP46eTV3J18zSZ8f3qX9vrpU7i/UQ0QAi4RlwkYpCqhfKtAXE0tMnCe9L1BH++cFJoQ8elqVLHq8y0rTNzU6MzCHH2lkYYnJjYyEdlJ+lfC7iNfqLOcIjCUOrVrdZ7P193Qn/6EMyrWT/aaSKdEaYXRZ+rYaoIvoM0kfF8P6+VqyUuULo/q5ym+ZImMsWxxvMUaV00c1OHvwyzMG+p1I5g3l4yuKyaHu0oy2SfY2YowRzhM+E1UOVP504WLhkIiflV2sCsa9S5ZAxfk93clb9XoGSfEy4QUhbTUXO5eYCPh9xr/xtAYPiEnIv1daZZV4fPnDKmxOzp4mSayafxRM5pKEwC9D3REJfrJ4kRgLgqzpGh+ETlTKHtv4pPuGuqyEDxiQm5glUHG+O3nrXtBRUs1v4+QWdcEihP6086sWdVm/WjswY8DMSptGqnopT1jOlRX14BGhrxBTlwrU1VpRB0vmaGFFkH9P6VYCp+WEbazgdwvW12nK59F/qRLZqXlCKXXsvZY0Ab9I0V2G5U5exlrlZVlU3hL2LN80t0U/1XIgd1OuVIUqr9VYzKlwclZHgLPNF6wOY10o4JQxMRFw8IBcsi6Ws3xvZdCFPAcfnxH4EGGsAJ0hWJ/jVnOy/zCLInt1tkhqzYjQzvqpN2XCa4TcyRuxXu22hOoPCQuF/rXFC0lwmzNHeFHYolCLbhDiQbMIBzXnQoZDN1bbTQQc/gmBu28e6DphqZAkwv2NBUL+N5OVKeX9xbNrryeVnyFMEmxV/KTyRnMtk5GyGkNlXyAnoqesbtnYH2Zzp+pagOiQReR24S5hb4HfaSP0P2rM7/dQYVkjirqr7V7qKF7F6glrhgQdrxcc9LSoz5eVn55oNy/UFzmpZ6Vn/BwcdiL5St49b41F6LPCh5rQHXv9zZugp6kq8lbyOBzmYK3Wypk2MA7LoL5rkpp/48iBMP/MqMUA5XcL5VkRPytLxAExYzu5BbIssEIVN2VVluTfXFK+W8TzZq/Yye/RaFgVyxL7HejDQp/Vuew/W6tqaFR9qvLsx43iCcDCd6tLS9EHLViT+F+3QM+0QNZKTsjB/tioiFOZbJyyd39NYG+O0y0Ssmi0KmzSoT8O3mIaEwronB1XZOS3CfyyTs7p+swMnWXYj0s4npjKtHVZt0DTLJDl5KPUQ++oF1byegknw8n7CXlOHjvEJYnOcH77AIYT0XcS9WnFHQKzrJNjE/bDjVLl9maNPlBoz4FrPeczTere1RS0AAfnqynLyeNQnUOuPwT5epJn1YhDvAOFx3IUmJOz8icnFdpb+G1RxVXi/Vh4UEijgwKz7FmCn66nWdN565UFWDVZce1k/coGn46v5NB1R46e3YMMctNT5DiAs/Hg8BcIXOll3UUSqr8vcCbA83Qi+el6J761Co45uZJvqDFOESzUZci7CRyc/ZVCHTRLbRYLrKz0l3bazb2i0e2WiVJCfaPLlOG+nMhgmTET6UiVCVeuF3B2J7eAW0AW2FngystWzDhdIf4koV76thqi74QMBTeGeiYSu/qKRYkGcFZ0sDoPF/LoXlUiy2TQqeQreae+uR467kF6blbdF4Rk9CBWIfqEpPYX0iaBWMHBKuDgTBydTO7ka85h2OZNacKLHC8dvxZYzJxaZIGjpBfnO7lF+k3tbGWYTDr9dLunO/lWeofPCU8JaWcvTPZ7CEcK5wt3Ct8RsojF5S7hT8LHsoQ6hM8503FCq32pLnNcpFZvCa26gvmGdC8XhgqdThweMinGeKnBh7o4oQ/dX6xT50i1e7MBcIuyZU7fP1PdImFAhsxZ4ncJto3jWSZnyBqb78rnCFwD9jVmB6U49+cFbqx43p8IlSNm04cE9tX9mzw6wjEe/PQm622Xun3C8/BMBs5GejcwoFsjXaZzWp36vhXp+qPyNwhM4lMjPn08LJwrXCEQYVm/eRMWDrxSKDJZXxvpxGa1iENcroS5gu0U6qWBHiU8JZj9SCvp5BrXBqxQ7I3mCpzmN4NGSAlfwk1phrKK6PhvjSN+oZavd+VlL7osRSdXkaxwZYkV8T1hosCP0AgnsrGSElbGxAEu/OkxM8oPU57J7OqIl5e9W5XoWyqw0hWhr0qINicVEa6ADAfPtwnY8naBsYPKOrnGtvrfTz+rtOhLoU0eDVbl8DyBDqhjhd5JGCv8TLAXmUyZzK4U9hM+KuTZkHB4d+E8YYGQ1GXlp1XH5LGLUMTht5UcYfJpQpK+IIbpRWa7hADPyeTwuQSfIpPFPAEnHyTUIp6dLQP93VJLOKonVF8o/EUo8rxR07Zn8Ruzb6WdvO2WquAAVkUvz15ikfQ3Gc8yuU599HlYhk5j46DPCGmRGD88Gzff76cR5yZbp1QcKB5tr0mpS2PtG+Rp86U0gRzeOaFtp6zm9ijjwrh55kJOnrcKmFJPu8cC/PDroax2WfwifbCS5tFdqhwpMDHFxEo8JmLMivKWReYIYYkxovT4kEd/ERodCd0X5YtkZwahCUWEXcYt4BZYY4EhSlhhDAeVMAwhNKE3IX7aKp+m6n4x6evVULmp0j1TwLYljRaLSftd0ioryiu9klf0OXxYHWqBczVuc/A/K8/+uygRGdB2TsEGODTnE7SZEdpsq5QbBPb8No6XlD9GSKPrxURuYlplRXmlndzD9Yq+yQ4dVhyqEz7jbEVpQBBkr1+EDpBQnyB4b0i5ez9DeEdgkrHDxBuUT6PnAnOntMr1hbfR+vIg/hxttwDh9oHRKH4e5Ytk+wehtL16WvvkhIIMOjgHeEXgS7jnhTyyvqzvPNmOrfOVvGNfXeUGjoPj6EZph25Wl5buGJivp1Wm8OzQjdV4kcB5ADcNLwv7C7UcXCJ/P/xbr53cV3JetVMzLBCvrPOkcH5JpTsE+TcKtGPvjVND9wrHCFcJ1wnc3a8UihAHfdBWa5LCf++Q5PDC0umC48UuG+2ka6rBdSevYaA2Ve+rfv9V4D/v+gkjhGbRblI0UUA3K+CDAs7BAVQjNDZqPCvKF83yYQoURwNrOOv+PUQsruKgw4XThVXC2UJRB5fo3/+jsUwb2m0ufIRMA9S7gbalmrqTlzJXtwkvVk9vC3zddGsTez006Nsk0snh1CjhZIHrq3poezX6ZNSwnhVqQWhf5PpsdNTXwJDfUOkJwhVRXa2s9WV915K3+mnK7GyFOtMn62znzdYjCxCCsrp+uUnPhGPzY/6uwGq+t3CJQB8gPjRTsRQRepqed5Xneqss8cUaOqYXaDg/yHYp3UNgQqTts4Kt8MrWpMmSoN3FNSWrI+BXaNV5Fw2P5OCggT1nM4gQ92HhXIFDKe6jzxR+KkCs5vXSmKjhbOVxurJkqynbkzzaVZUDg8BNSp8Sbgzlf1L6qZAvktg5gPVdpE3HyfjpenVf2WgNbaEwr0lDxPG+kaLr0cB7K6WuKCt28geKNkrIPRfKw5Xm/S6xi5FNgJcaQymrsxGyTG5ZdFComJslUEF+mUilgsP3IZkF2O8RRs4IjOuU4oy/FS4IvGYlhMf0tWedCnEU2htiJyyrkudDz9CchjcHGbYF8dnCPYFP+yMFTsxfEQhv02gbMTmDYCLNm1TS2raTN0Gdm62JZJw61AITNW5e5PFh/Kcq5TDOVqVrlGflLYqjJZtF7GM5BKpnhdhH7Yg07EdHep7QW6iHbF+OjjTicG2pQD/3JwT2UxmnpW6ZwJaECSGLPqcKZDmj6BT6Rw2UqINxg9eEwYJTB1qAfTIvkf0pP/yHBU6wjU5U5soSGGYNE+kolZko2MuWIeS5z7YfWzJ9W3U/EsoSqy8rNA6KQyfp42JYX19LVqp8YVSPM2yZImMsQn10xbcCVle1dEcN6FXBJjGzASm8LuEUwalDLEDoyFdfLwjfFwhDNxWaTTjU74Xjmq24QX2XqT0/3gl16mEiGCP0yWl/sOro48YcGa9yC7TMAlxt8QM0zGxBTxtLJ+Hu1BboblQlzsn5w4sC42wFzZZSJtHNW6HcdboFalmA/SgOzj78EYFwbFchpmtUKLofR+7TUWPC4P8VWDGT1DfJaFN5kPpdIvy4Bf1zw7BcGNoC3ZVUuVElR9WzB8XpNI5NKMnelgOls4XThCHCSwIr0QqhKC0Oghyu/VBA7xmBZ8kkZbYTphmjjel89c2h450CzztFaAaNlxKil68IjzdDoetwC5S1ACvpOwLhKtRb6BJw6H8THhAa2Z9fqvZ/E34lPBjhGeVXCgOEKtEEDYZVl5PwRmmEFHCo16wJo9HxePseaoGD9Nw44YXR849THgdcJoyK+GWzp6gBurMws6zCbpL/Z/WzVxP6Giwdw5ugx1W4BVpigf7SullLNLtSt4BbwC3gFnALuAXcAm4Bt4BbwC3gFnALuAXcAm4Bt4BbwC3gFnALuAXcAm6BhAX+Hz1CdtCCThCbAAAAAElFTkSuQmCC\" width=\"124.5\" height=\"46\" style=\"width: 124.5px; height: 46px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003ewhere 'T(n)' is the triangular sum:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e                            \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"184\" height=\"19\" style=\"width: 184px; height: 19px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eIt can be proven that P(n) is convergent, with:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 30px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e                            \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKcAAAA6CAYAAADV7klxAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAAAp6ADAAQAAAABAAAAOgAAAAAcyFpzAAALKklEQVR4Ae2be7BXVRXHr2CIgYQCPgj1qvmgnOKhGQoykPhMDSxzLo0VZPnoNWr+UQimMqGjaZRGps34QJxQ0DKFFIeHXi0RK3WcQLz4wMBXiBAJQn0/957FLHfnd36/83vI796718z37rXX2nudfdZZe+29z+/choZI0QPRA9ED0QPRA9ED0QPRA9ED0QPRA9ED0QMVeKBJfV8UdqvAhu86XpVm4QAvjHz0QF4PXKAO24SJeTtmtN9Zuj8KrwsHZbRrL6rhGuiFwq+FycIYoVoTWaY6BvHA1xXAvyR/XrhfmC6cIRSjo9RgszC1WMMy9D3VZ5nwtNC9jP710OXjGgT+/G8KVkt2uFAR7aTeQwQinqWmvxDSNAmWCueFijqsD9SYCETvMMY/QSDIyFamu1f8XkIa7S7hKmGugI9qQfh6jXBLLYzX2OZHZZ+JhS+fEmYnpfmW8m2ht5CbeqnH3cKbgjd4YGCJlG36/4jvGujrsbrEjfmBYIAfU32l088P9FYlcLcItV52v6dr4F8mT3ui6zXYTcKZwaDZRz8nWMyMC/QlV0er5SXCVsGMhcF5hNOtEt9FqGf6iAa3QbD7Yc8Y0tkSmP498T2DBhyA0P8mkNeiypLOEsiYw3HU4nrVsElie1cYW8DYlyU3/15ToE3J4uXOWBicGOFiLImfpFLn5DM9DkrLfH7C0eak4J4WqI68MZDXqnqRDHO9CbW6QJXtDpK9KzJsHisd9wO+m9GuJNXDiSGMpQVnSUbqpBFOM8esKDCm010b2o5y7fYVz0ryrJPVmmWfzDgW1/pCH5L9Scn94EfuLZV4ZVEK4ZiOQie6G5nneM8e4yrrxHMQNBovpotA9iyF+qrR4ARMBg5Q0P7CqQKZ+34hyx5vETgYjRA+IbwgtFdiW2X7TBIF91YRPaTeBCjIypyFTrZ28b3FdLWKSh4yD8nLnLqVHaC/7LuqQf1khNlq93JyilFm8lrXho29p0Wq0P80L0zhr5XsVcGuRUlgQ98QNghedySKDLpTOtqfk9Gm3lWc4DmAch9TqjXYrODso4ucJzwqbBN6CJ4aVWFf8ZjAoA4VhgmPCBsFZG8IMwQLUvaus4TVAvrNwj0CN1cJ2UEGm7xZ8PZ2Up3lmwyFHjwhhBOjJdGRwbKI++SkytixtUXg9ROn7/eF64QHBbsWPsyiyVLS9vKsRgV0cyR/qwr4fAH7xcQkoZOEZYLd73rx+KJiSgvOXWX1D4I53y7qg/Mq6U1uJQ+F7AVeFHhopvuBeFI+Jz1OycsFr79Z9UroNnW2axGcZCNAkKwSTMf1fyoQTJ4IYMZFu1Dn2xnPEoYt2jMZxwr/Fo4XoO8Lds0TWyWF//BWgba/LdykoMY/P7teOWWxMaYNgASwUih0PXyQSji7FOLmjksaHqSSoIKOFRqFWwUjXneQESGyDvVm4WDB6CdiWPZ4cEcLZFWjbWIuFn4lEEBDhMeFbgJL4d6C2RdbMnGv/xRs6/GseCYWk4zrvJQAR84U3hZC2lOCtQITi8DD4VmEfxYlDX6ucoJwvnBHIrslkVHtLzC+QnSWFLMEnoUFd6G2oZyMx3OrlObKAKtcXtpHHXoLrDYkoNGC0TtiiI1y7Lba8DPvQLPqyjXibWb4zGlN7nL6c0zoyhanv9TJjb3P6YeaMGc52NlgrINy9qf5ZwT6vkmlBLpSbcwvBP9NQZ9/JHomSjEia2HryWIN61xPkjhXsBWFe2pKG3OXNGEZsmJRv87Z5CGF9JQTPON4Y1uMUWmZz4lKYnm4RmS/v1klR0nmhrq3FUX/+gzHdoCsYbSfmEOSynwTZpRkeIj9ansmgnGGcIO7icMcv52tVnBywUro5SKdmWVGvY3JWfrgtJUgp4nWAxp9WB12KdK5j/RDXZtzxbPfNPKB+ycTZpTYg15tK9r933nuDnZ3/HZ25+3cjmUqDe5io++lBsNco1KCwTXfzrI3ZZXoJxAsrwmF6DgpbPJzvUeChmOSOjYXB7q0at9EWE5wzlHfkWlGc8p4+7AgZ59CzZul4HyBj1akNaqX4EwbWzVlo2WMA4wRmbNcIjgIzv5CVnD6zHh9cDEeiL2WWSJ+U6BPq+6TCMsJzt3Ud480ozll3oc5u/5fc1ZA/AA901Z88G9nCU6/pHP4WPNBN+SqPa/WHK5GCEszelpwkmnDyUB/W6Yti3Nyv11YKKQRJ3+onL3yNPWb3dq7sj/+bFCZpYaGUxIDf1W5MM1YZwhOZudp7uabHV8OO1OdmgSy8XUFDAyUnF+2oHuF8BBDYBuxTE4VCL4LTRiULOm8KXhNCLcHQdPUKtcAHxYx8a4S2Jf/Uviz4ImV5wphq/BDIXVbV2pwcvzPIkvPtCnWNstOtXVdZXCKYEsi9g8ReggbqZRBnKx5H0kw4b8w8CRqOIE/Cf3eGFeyJTCaLubTwgjhHRMG5SjV8eudwrZAV4/VL2pQE5OBjVc5S7haYBU5WviZwIT7ivCwUBH9Rb2JbvCpFEsvOb0PBGt6m9P7LGb6G5z+bBO68hqn/7aTZ7EHSLnB9bPxU24WviWUS2QF7KSNFZu/S/RMgF0RBHSy6gQZNlYLPLAs4gHSliBuD9RLg3xFYMwe3PNK4UZhgFAxDZeFLYJd5DLxzGIjZrzpKC8yRVKy8W0RrM3NgZ6Ht8zp54j3GZ3NvNfPVr2aG3OZy02N6kGWe0HwY1W1ZGKSDxPSgtcbGakKviPg2xN112BZQSYIXxOOFHoIVSGclhb9OIpfSL4ukDEtAyA3rBXPHon9Rlr2IluMEiYL6wXrZyX2vyqwNPBu0ORWviHZl4QdSWfo4oznmzUexGLZZxKQjSJFD5TsgWvV8l1hUMk98jW8VM3fE4bm6xZbRw+0LelL5AhWggFVdggHCTLzd6psN5rrRB7oq3ttFnj/2LVK932M7PDL0ZQq2YtmOrEHuune2QP7V2qVuONQdS52gq/EfuwbPRA9ED0QPRA9ED0QPRA9ED0QPRA9ED0QPRA9ED0QPRA9ED0QPRA9sIM9wJdH/oubXSoYT78K+sau0QOtHuCnOL7uXiisE/j3Bj7tekLg66NZQl7ik7cWodgvHnwH+gthqcDv1ZcI/PJi1EcMH1rwU+FDQvzNWU7oTMR3kkcJ/K7L1zZDBP5nZpLAN518ylYO8c0nn7l9rkDnfSXHNoH5gMC1+OhhkcA3gHy+95yAzOMm1av1k6FMRap3D+ynARIAZCc+ZuB3XrLfVoGMVi4R4JsEyvBj4QclWyhYoBHEBCvjmCsQhK8ITQLjOUsg2NEzmSJ1Eg/w8SwP/X1hXHLPJySyy5M6BUs82bVUYA+7gCw4QID4kocPiidScTRc/GaB9huEwwRPZ6qC7kdeGPmO4wF/4LG7Oj5hyJz8ywQ0pq1omJ+UFI8LfMVeKn1WDfkol4C7W3hdgA4WWLb3oOLoUfFThcsEgnON4Ilsi63DvTDyHdcDLKtvCXx9vb+7zb+L54CUFsyuWUGWk/89wpPCwKAVJ3kOWxx0QuIzNLIjuCNUqr5KmJYij6IO6AGyG4FgGZNb3MvJ9hT/BYQ56Uq1f0xg75pG9g9sk6TsKXAIOl/gYDZd2Cgwrh8LRoPFIDvCBLHs2B4gOHjgTe42xyYye8XEP67lod5qfJ9QKDCxdYHAdQEHLzIp/AwBOl1AjmyewN73ZeFGIVIn8cAC3SevcQgoo5FiCApOx6easAblONlcIbClWC4wUboJRqPFzBTWC08LFwuRogcaGuWDcveb0X3RA9ED0QPRA9ED0QPRA9ED0QPRA9ED0QPRA9ED0QPRAx3CA/8DP/7FueXvY8cAAAAASUVORK5CYII=\" width=\"83.5\" height=\"29\" style=\"width: 83.5px; height: 29px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eWrite a function that outputs the integer value of 'n' when '3 - P(n)' \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; text-decoration: underline; text-decoration-line: underline; \"\u003efirst\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e becomes less than or equal to a given tolerance 't'.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function n = N(t)\r\n    n = N(t); \r\nend","test_suite":"%%\r\nt = 1;\r\nn_correct = 4;\r\nassert(isequal(N(t),n_correct))\r\n%%\r\nt = 0.5;\r\nn_correct = 10;\r\nassert(isequal(N(t),n_correct))\r\n%%\r\nt = 0.01;\r\nn_correct = 598;\r\nassert(isequal(N(t),n_correct))\r\n%%\r\nt = 0.007;\r\nn_correct = 856;\r\nassert(isequal(N(t),n_correct))\r\n%%\r\nt = 0.00032;\r\nn_correct = 18748;\r\nassert(isequal(N(t),n_correct))\r\n%%\r\nts = 10.^[-1:-1:-8]*3;\r\nns = arrayfun(@(t) N(t),ts); \r\nss_correct = 222222205;\r\nassert(isequal(sum(ns),ss_correct))\r\n%%\r\nt = 0.0000000026;\r\nn_correct = 2307692306;\r\nassert(isequal(N(t),n_correct))\r\n%%\r\nfiletext = fileread('n.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":18,"test_suite_updated_at":"2021-09-24T21:04:32.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-24T20:12:14.000Z","updated_at":"2025-12-22T16:55:44.000Z","published_at":"2021-09-24T20:44:19.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe function 'P(n)' is defined as the series product:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eP(n)=\\\\prod_{k=2}^{n}\\\\frac{T(k)}{T(k)-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 'T(n)' is the triangular sum:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eT(n) = 1 + 2 + 3 + 4 + ...+n\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\u003eIt can be proven that P(n) is convergent, with:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\lim_{n\\\\rightarrow \\\\infty}P(n) = 3\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eWrite a function that outputs the integer value of 'n' when '3 - P(n)' \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003efirst\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e becomes less than or equal to a given tolerance 't'.\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":52679,"title":"Easy Sequences 16: Volume of Embedded Octahedron","description":"An octahedron (not regular) is formed by joining the centers of the faces of a rectangular parallelepiped (see below figure).\r\n                                       \r\nGiven the dimensions of the rectangular parallelepiped (length, width and height), calculate the volume of the embedded octahedron. Please output the integer part of the volume in modulo 1000003.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440000534057617px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 247px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eAn octahedron (not regular) is formed by joining the centers of the faces of a rectangular parallelepiped (see below figure).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 166px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e                                       \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"311\" height=\"166\" style=\"vertical-align: middle;width: 311px;height: 166px\" 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c7Rq2fwmrrH+ovkmEUgEEoFEYGwQaDfPW/jbUeemm24qftLSSJEvv/zlL9c/d8gGv6/LF3k35ffcaaedqr333rvIFm44WeaOQBK3uWPXmF/SsokONZj4G1gJ/frXv15fPwOqdTD5kgPoFltsUVTVfA2QNqrrTTfddP1v629iYNY/y/eJQCKQCCQC44NAzPNkhoU/hQAtmxRSFAPSSLUqBNrJF8lx5fYUdCDXpzRSAg9Swzb/vpLEbf4YDuUKBoowa5vzGkhnnnlmefV5a2n3GUdQRE3o9Y477ljIG1NplkQgEUgEEoHJRoDM+OpXv1rxj2YO9SoTQavLDZTayRfJ0ckWMoamjQUn5Uvv+lQSt95hOdAriRa128H5559fVkKt4df1VVNUzGc2fRcdKux63333LeZRW4mMQpHShHres8qkbfXGR4Lm0NZXWRKBRCARSATmjgBN2ve///2S3oNCYO3atRuYRF29nXzxud1taNn4svGTlky311sfus+klyRuI9QD+BOsm0qge8899xTnUPnYRPTUiwFlBdS6CuLHZkDZoFeiQ3nZbNJb36LKb2JA1q/ZlPecYJmC+VkgbSYGK7nYs67JdW8KhlmPRCARSATaISCBLtmyevXq6sYbbyzbVbHo1EvMsXX5wiRKIUDLxuUmEujyma7nY2u6fKk/Z9PfJ3FreAvZ7eAXv/jFej8Dq6BVq1ZVDzzwwPqaB1nzQX1A+f/JT35y2aCXfwG1tZw5Nu2NAeicKO0+i++a8AqH22+/vex7ZyN7YeQveclLyubDOSk0oYWyDolAIjAqCNjNQK5PlgwEjZ+0FB+XXHLJBrk+Q67Eq2ckL2jTuN1QBCBtlAJkTTsLSNPly6i0m3omcWtwa9GuyUbtMKAEHyAvraU+mOrf0aZtueWW1YEHHlgdeeSRxSzabkDVf9Pk91Z2iKgJIMyjORk0ucWybolAItBEBGz2ziRKwyYHmwWxVy44raWdfOFeg6zRriFr22+/fQl0a/1t/t8fBJK49QfXrq9qUNTJhwHFd+3SSy8tvgWPPfZYWRFJbliP5HEDv2s3qDbeeOOiiXrjG99YBlTkzBll0haAeuY6XvF5viYCiUAikAi0R4Cc4Grzve99b/1+ovfff38JcCNzELZu5IstEKWOQtqWLVtW7bzzzoWwZeBBe9z79WkSt34h2+V1g4Q88sgjRVUtgueiiy4qyXPbXaJO1uqkjSbqWc96VrXNNtsUlTXfLyZRgQg5qNohmZ+NEgIWMPJICUyxiCFsFFnYOUTLFbXZZpsVs3loZUfp+bKuiUC/EJAaSkQo3+DbbrutHNJ7tCud5AtrB/mCsMlCIG2U98ZclFYlRHyer71HIIlb7zGd9RU5hQo0WLFiRdlCRHbqTqVO1uIcA0qCQ2Rtjz32KBGjmeAw0MnXUUWADw4tgPHwta99rYyRu+66q+SUskeigrBxiqZVJkgsXAThECiETZZEYFIRkLrDIkck/pVXXlktX768vA886iQtPmsnXwR/kS8iRGUjcBh3rSWUEK2f5/+9RyCJW+8x7fqKVNccQr/85S+XKB7aNlqF2RTaBj4Gb33rW5OwzQa4PLfxCAjMkY7gsssuK/6dfD5FFiN0UX7wgx9UDz74YMlhSLNME/COd7yj2n///YsmLs7L10Rg0hBgxbn66qvLTjqS5xo79dKOpNW/957bDT+2o48+ulq8eHFJv9R6Tv4/eASSuA0e85LCQ/41wQZ8CyTStWlvq2NorGBaB5jcZQsWLCgaNpE8oitf+tKXlgifITxO3jIR6AsCzKFf//rXq+uuu65o2drdxNj4zW9+U75C9Pjt3HvvvUVDINqNtiBdBdohl5+NKwICDi644IKSNFcAAtnC1SDGSf2522ndaKtpsUWH2rfaq9RR5E6WZiCQxK1P7UCgBPFyC2prKmuRO3KRCUBoZxKN3/h9EDYmH5u9G0wIm4M5yGCiwqZ1y5IIjBsC+j/yRvB0W4yzcLam0R6V5NLdPl+elwi0Q4AWOuTLtddeW1J62KpqpmKMCVqTVom7gfyYzKC2QpRyiY+0xU/IpZmul98PBoEkbn3Cud7ROYfSrp1xxhklWpRpJ0hZ6+3bfS6Kh+nn4IMPLoPLQMqSCIw7AvY0tPonPPi68QVtNz7qOAhWoBkgfPh51hNM18/L94nAOCBgoUKbxt3m7LPPLgqB1qS5Mz2nMXb44YdXxx13XEmkO9P5+f3wEUji1uc2kIH6wgsvLPu9WRHxM5hJ+ESV+BdYAQk6EMnj1WdZEoFJQECuPv6byJdoOAE8naLhmENpnrkMMO84cjPrSeglk/uMTJ8sN5/61KeKWZTLzWwCcixy5PkUdMByk4uc0elLSdx60FaIWF3DZkDZoFcEHOLm4GtQd6qO2/pdK5EjsJhGCR9bVCFs1Nb258ySCEwKAsaFhNMCECKKVB6p1nxT8ODfRvMgiu7BB39YfN2e+9znFv826UGyJALjgoAxYfecyy+/vGjaBO3o/0o7GdP63MaDscE3mnwRjU2+GFtZRgOBJG49aKcgbYTGd77znZKN2k4H/NnCObROzuJ8n8XnNGl818KPjQ8bvwPH5ptvXnYKiN/1oMp5iUSgsQjwafvGN75RAhO4GAhQoE0wPmjUEDcHDQG3AVoG2mzaOFHa11+/ZsrPzflbTSUL3bwkDOVukL6gjW3yrFgXCAheMxbIFsFtshB0W/h6brXVVmUMeSVnkDXpc5A42umUL92iOfzzkrj1qA34rV1xxRXFLMrfgEnUPnDtSpC1+A5ps8vBIYccUu2www5FfZ1mnkAnXycBAZoCvqACdmy/s3LlyrLwQco23XTTInCYdbynMUDaCBxR1TQFzj/55JNLZnjkje+PcbjRRhsVIbXTTjuVc9PVYBJ60/g9I781e4ieeeaZZQtEC5mZirHDhUCeTy4HdjrYbrvtUr7MBNwIfJ/EbZ6NJP0AtbVIHloCBC6yus90aUKFQLFtiPxTVNc0A1kSgUlDgDbBOLLVG821AIO99967JJReuHBh0aTx5fE9bfSuu+5aNGi0aMgYzbSxxOxjxxCkjouCXUiuueaakh+RsHOeMWbsZUkEmo4Aiw3tGqUAjbKFTTtXgXbPYQwcdNBBJbCNdk2wjkVOatbaoTVanyVx66K9aMhaO7sVED82TtOSHH7hC18o5pzWy8Xv6lq2TTbZpPiv0RYIOvAqsodvW5ZEYJIQsPChYWMSNYb4s4kijX0QkTSFuwBBROvG1CNox5ihmZbOILRvTEmCGB599NHy/dve9rbi9yO31Yc//OGpcfeKaunSpWX8IX1PfvJTyu8nCfN81uYjwBwq8ODOO+8sbgDkDY10a2knX4yZvfbaq1hv+EcbT2nBaUVutP9P4jZN+wVhqw8O/jc26r355puLgJDs84EHHtiAtPmN3wdho7YmfAwiGgFOofKwEUQZdDBNI+RXY4cAAcQX1NhBqJg0OVwzg9IQ0JrRnvlfoSmz1yLhxQkb4RIFt2DK5y0EEi0aMxBNGq2EHUiQO8lDfWb8GZMPP/zTor1wz9/5k76gjEv3yoXT2HW1Rj9QyJeopL5Nw8Y3mlkUcRNwM10J+eIcKXAknbYllfRRgtv0+yzjh0ASt2naNAibUwiPWM3Tspn4qa47RfHUB5TrcKomlJh/CB2moPr1p6lGfvV7BGDqgHm8T3BGBwHR1pLiImEyu9NUM/sgWLTOxsbuu+++flw4n0bO+bRy9itlUg3/NukMonC+diBzzKEi7ZzL19TnBxxwQPXOd76zXOd3jt13TpmOEMCtC1Gk+TYuU9AFovnabwTq8z/SRq6cfvrpZWEhirqTbGmtVyTQpaVesmRJIW/kS/blVqTG5/8kbjO0JSdnPjL2S0TWaNsIgwi/nuHnJWHuLrvsUrQBhBPhkOkJZkKt/ffIWuAuGau26XZya3/F/HRQCGg7WurzzjuvaNqMAX6dckjx8RTdFtqzqFOk1eE/qq2PPPLIsgBCzjoloaY1o8lG3oLgE2DInldm0n322aeyd+MnPvGJ6qyzzir14lcnQMi1CT3CMEsiMAgE9G/+nVwFZpvrsx50wJqTLjeDaLHh3yOJ2+/bgGCpr4Bo2O67775C1gysG264oZhEnVcv8ZvWz8NMQyhRXXMO5UQd59evke+7Q0Buu2OPPbb4BYqUYlIjZJGAxLU7DAd9lkAd/mt8de6+++5iGhXpZsPqfffdt4yLTiRMVDat9tqpjeY5VfPd0e5MpZ20CfoBkuboVPzW9j5vf/vbizmJryrn7+uvv74EPaib8bvRRk8rPnCdrpOfJwLdItAqXyxA9W1mUfJlzZo1xUza7nr6dF2+GAuLFi0qB3OoRQ83nNyTtx164/lZ59ltPJ+341OF4LfKp6YmZJhy5MqJVVD9xzGYWgeUFY/V/vbbb180CkykfGnqgqZ1ENevm+87I8APidPtnnvuWYgaTAPXaL/Ov85vBomAfRKZOPmxhSaBNky6GxoxPmyETr20jgv/06yGnw8tGH8115lveyN2xujrXve6kheLxiMEKX+7Lbe0N/ALSyJs/nPI5XzvWX/WfD9ZCETf0Z+NDRpfZE2Sdv6eP/nJT54AiPNDtsRr7HRAU83thiVHpGiWyUNg4okbc0oIf07NBhR/GoTt1ltv3WBARReJwRT/m9gJAj46gg8Ip3CujnPiNQZx/J+v3SFQJ2rd/SLPGiQCxhJNgiAC7gXMohY9xgatAFMkUyXtQBTjKMZDvMZ32ptgommlaeN43boIinPn+ooMIpFSjqgrp3B1X7v2v8p9LcKYoxA82t0sicBsENC/HcYGckauiHqmhabpFezWrrTKF36ae+yxR9mvmnwxhjKorR1yk/HZRBM3qx++LVIQWG3TDhhYyBsS1zp4dIn6Ssj/BIqJX5RoEDbRPVkSgUlDwDiyLy+TI1cDROfQQw8tpm3Ex1iJRVJg00rW4vN4JfBowR3h09h6jTh3tq9xXddjbkfSPvCBD1Tvete7p7YTWl184JixzAtMvvIsEpiZxHe2SE/m+fouOcJ6Y3sq7gKinR955JHSn/Tn1tIqXyxcyBfBM8aQPthJIdB6rfx/fBGYOOLG7MIUSj2NpFn5UF2LdpP7yUBrTaBbH0xB5gglPjcGE9OdV4RtOt+a8e1G+WSTioDxIPE0kw9/HcLJGJI/6sADDyzjYrb+N8YnbYQoUtdDrIw3Gob5ji/XFqlK02HhRuOmfoKGwuz0zGc+o/ilCpbwTOrx8Y9/vIz3pUv3LZp1uRgzB9yk9vrOz0126GO0t1wEHJQCUkbpc8hca2knXywO9EnKAPKFNYcbTvqxtaI3mf9PHHGz4qERkOBQlNu6qbQB7Uq7weQ8E/0WW2xRVkCCDggoJhyq7CiEmd9nSQTGFQFaAz5sSBvBhAxJ7WEs8L3hhyMwZy7jwkJKsIBFlUAE40wwATPpfAsSaGxapIkSZ77ih6qeQdzcg5BEPJl3+bqaMzzz1VdfU4icumy99YvKXBCkcr51y9+PPgLcBATT3HTTTUW+GBudSsiYUAb4X3+X21MGAv6gNGw0wZ0CeDpdOz8fbwQmjrjZx5BQQNpMxDF4Wps5BlP9cxo1g0g0o8gzAkqET2txzSyJwLghYEyI9OS8T1tt30R+oHzQkCtaZ2OD4GlXuhkXzEc0FtLu0FAgTu9617sKkWp3zdl+xlzrUGcmUORNQmCC0o4MrRoN5x5xxBHlQCRp3pYvP7OicfOsCCWtiKhx5I9GsJvnnG298/zRQIAigI+kwANuOJ3ki6epyxgLCrKFTGEWFbhjEZSpo0aj3Qddy4khblTYhAGzBzW25JzdFtE80gNQV++3337l1Sp7vmabbu+f5yUCTUCAaVHi3BUrVpQAhAVTOc+OOuqoQnqQF4SNAJpLQQj5yNHg2WPUa/gCRe6+uVy302+MXdtkEZYIF1MW82wEQrR7DkTtpJNOKvPIOeecU7AgoAU2mBuQPxqSdBrvhPr4fm5sIG36kDRSFh/dFlabRVPpPSx8vOeC05rTsNtr5XmTgcBYEzd+a3zZCIGI4qFxIyBaS+vKyMCxAudnYDKWKNQkb1BRZ2dJBCYFAQmnjR9O1jTVxhNTIlOoKFGEbb6Chu+PxRWyRotNiHFLMO7qOyT0CnPX5PQt1Qetm+2FbEgvyIj20EINAWvVwPnfPHDIIYcUkgcTB4FNW0LZLqJ8o42eXuqf2rdetVjzrsPMjqQ57KrDdYBSgNtAa2mVL/qffkS2MIki/hZCmeuzFbn8vx0CY0fckDUrH4QNSTOoDCgTaz30OibUUFfHq9U3oWTytfehFZBUBkhcu1V4O1Dzs0Rg1BFgsjSOkDR+OsaRoAOCxfZR/MJoCZhzohhDMa7is25fw0Rq3DLFGoOOXpDCdnVANAlOGjYE0X09I/8kPna0a4gdAteumB/MC7RtdlURxECQr1y5csqMfGfZk9icwb3CQq+VALa7Zn7WbAREITN/GhdkC7mCsHnviHyDniLGQciVeEXYLBaYQsO9gDKABade5jOW6tfJ9+OJwFgQN6t1phbmTznYTjvttOrSSy99gg9Ba/PFQKp/boKlRYhcbIRTatfqCA33vTaLtBBINIHrNSbJ4dZuPO6OQDH70BzIwya9B8xpovh1MgfauL0dEZlPOxi/hJ8dSghA2gfJdn3ebqz2Cm2C1Jg31qUBWr58efXZz362vBdt2om4ub++R2PiUPz25JM/M2VG/lHxeUP+LPwczLLIYi7+ClQj9Yd8sei3AbwoZ3vdMpFPV9r1WRpciwH52LgWGEethC2uOZ+xFNfI1/FFYKSJm8FhYuefYtV77rnnli11aN3aDZxOzSgTuwFkIBlUNrs2YacPWyfEhvM5TYjklffcc0/RZGz/+u2LKXvjP9m4OPHmZDf/doHtZz7zmRJ1Tbu2aEqrxgGf9pmGCdHpR+GELaqThs24E5WKEBmH7UhiL+uAICKK7iutCc0bIWtucXTrIG4vVdt43X77HdUZZ5xe9kFFRBFDgjr8l3pZ97xW/xAgQyxaHnzwwZKH7XOf+1wxi4uenk2xwBTkYnFAKWAjeFq2bvvVbO6V504GAiNN3PjEiGoTem2CtBoy0c6mmKxpEWw8LUO66DCq7CRts0FxMOfSqGrr1atXl3ba9NmblhxcGz1to5wE59EEsciRIkO6HI7VNG8I2+GHH14WNKIo+0WMCUf3ZCI1ft2LGZM5CakaVHFfvnURDMFXyUKBkA1C2a4u8IMNbZpr7LTTjlP/V8U/j5ZGUJRn9B2CGFq3+F27a+Znw0dAm5Ep/DqZ0PlC1kmbNo+x0662yD9TPIWAhQ9/Ta4FPkvS1g6x/KxbBEaSuJnkmVX4lcT2IfLntEtu2A4IGjZ5cfjQbL311mVFvGzZsjKptjs/P2sGAkx4tG7rpnxMtOGjjzxa/fY3vy2TZwrB2beRoAM+bIJ1LIIQFmZKOcoIGwsZTtN1jVevcVYHPnQRQGQcIziE3iBJG/Q8J02fhZtUIeYXwprGjEae/2u70kpo1d2euszLdl7gtkGLpyCD5h3P6HBdmsbWa7S7T342GAQsYGjZ+EXL33fbbbeVMSJtTL20I21IOdmC6Fv4MJcjbLSttG5ZEoFeIDByxI3g5ksSYfndgGBSpK4mCDgLcxrmXGxitcI2USMCWZqNgEnRStUrIatNU+DNrs0IG5oEPju01FJ70CpY9PDDouXiLhDjAsb10mu8uTnYDoiJkuM3U6yx2Ov71J+h03tadn5tDiSWloXGDJG1hVcn4tbpeqFxocWPbY+Y2xA3wtxB28+ERti7/zCeu1P9J+lzY0KbI2zI9qpVq4qfo3ESGthOeGgz44prAbnCj03QCrImK0G2aSfk8vO5IjAyxM0Ez1laFnOrcwSu20IgHX300SUazq4HCgKAyBESrcKp2+vmeYnAqCFAoyZxrrGEjNA4S3CLRNCyIRWc6I2PQRBjQs1B+8QPzME0aXE1zKIesGG6RcAI5dkWzwVXwtt14ImcIqrywMlXRyMjyTDCzKcvM+TPFuX5nY+wMdHbmsqYoGETHcxVQJu106q13pEmjX/jYYcdVki+RaVjWAuQ1vrl/+OHQOOJmxWQaC9bVF111VXFfDHTCiiaKQSCyZMGwWScJRGYNAQIIYVWzXiyCEIgaJpjBxCLm0H73SCRTIdhrlUHGnH1arcjySDajaA2byCv6jHXEtchvB1RmEYFMCCCUkkwDdM2Op95LYhbuH2oiyNLfxDgvyaHH19p5nFm0tkUZm4mUfKFH1uWRGAQCDSSuPG3MaHLk2NrHQefNiuhbkmbAWWlayWLsDF3xGQ6CGDzHonAsBHgk2OnEMQISWJiRgikuKEdMD74bzENRhnEGFEH2gzJdhFIB4Hp3rTgzKXDCg7qFUma7jo0eQ654+R9syjlT0dLs2AqeAEGiCNNDvLo/yy9Q4CvLPlCIQB/x2yCDtREm9AMM4eSL4IOLJDSetO7dsordUagccSN6prvzQknnFA0bCbz2RRCSQoBqQusgPixEVBWuNNNprO5R56bCIwCArRrzKJnnHFGIUlIASEj679gnLomKJ5nEGPEmCYoLdAQNJomplKaC9Gk/Uo5Es/YlFfaNcKfBhSJO/3004vwt+hkKuYnxd/QOVl6g4C+hyh/7GMfK0Ej7a7aKnNiTCBl/BxphSkCyJddd921yBptZmGUJREYBAJDI24GRwwID2q1IvpKwk/b61gRtQ6g6QDhAMxXJPYLNNkhceGrk4NqOvTyu3FCgP8nTZs0FATNscceWwIPRExaxCAM7UjboDDgWydSj5mKJl1kKeI2LC3bXJ6b1tBhDpurlsX8hJhZXCrmu3VTEdPmQNiYExGETTfddE4+dnN5rnH+jc3fYcs0jSh3W4wX+dcOPfTQ4rNIG6rdad0cNKUpX7pFM8/rBQIDJ25B2IK0yc0l5F5km2zUJvROG8D7TZ3MmegRNCt1qQt23HHHorLmR5IlEZgUBIwJQp7wMHY4WItetEUVYkDgBGGrYxJjsf7ZIN4z4XKDsMsJX7Y999yzOOmrIyHY9KL+tDZRf8TLHESgd1tgr71YAuqBD0iCSFbRjA7a0rVT0a0Wpfa0jMjWII0xj3Z730k7j1lUX2OKFthGxnQb2GYxQa6IEvVKWz0p2uBJ6yej9rwDJ271iYZgkYft7LPPLitMK2+m0k4lSBu1tCSGQq9NZrRsJv2IGI3fD0swxf3zNRHoNwI007RrchsaW8YPnza+oCJEpZoQnNNOw1Yfi/2uZ/366ijRr/xtsegiHEelqD9tJpcOOAswkAuPewYNWTcEbjrsRZqKZJVHzE4W2peWUltrU+TO4T0/uNT2bNhz+ENrowhs86qNkOGZSpiqaaj333//Qpp9liURaAoCAyduHpyjtPBr5gCBB7Rt3a6CDKCDDjqoOuqoo0rggdVqJ1PFdJNjUxog65EIzBUBmh/ateOPP75orQlzKSVEitq2ColoYuHbJgWDhZvFmlcEaBS0bfBUT1GECJP8bNpAig9+g29/+9vnlcoEweb24bCbC19A0af2T/3nf/7nEtShjd1/l112Kdqg1AI9sZcjaKeeemp1yimnlAXCE7+d/j+k25aHxxxzTEnGTMM5Sib86Z8uvx0XBPpK3Fo1XlaNfAv4sEntYcWKsFH7z1SkCpCNXBScSB5RPN2sbGe6bn4/OgiYQIOMe0XYfTZpPiZIjtQFTECID6J24IEHFs0a7dow02lM15tEj9Ky8eNaMBUo8Z73vKdoyo3nUSFtno/fLPJE4w9vhJmWk7madkz7mK96EQ3KlMyiIGjjb//2b4uJVvoKZlqkgqWBu0hq3ariL8mHjWnZ+KAJ7bYgv3YJYcEJKw5TaZZEoIkI9JW4hZA1mVmZmtwQNyrs7373u2WlPR0oBDN/NVFnJnd+HiZMWjYCy2QVTsJxnbhn/J+vo4uAtkT+9QNC0Ur6l7/8ZfmMtol5kD8QDQ5NBYGqP4RJfXSf/PGae26pM5CB6O/GDn8d44rLADMjk6i0HsaGBRKSVHc7GNa4cF/tEuZFpj/Rrp6JsPQd85VFmHM9Z7TfsOr8OPpPfFevl/pqD8QqTJvmNppOUYeLFi0qhIvJUxt2W+Iezo/ntzhB0gQpLJgivDSpNHGsFsiJz5iczZMIsDGgbsaNYxwLbDyjeYAFh+mdf7R9jPlMd4s5+YIUa0NKAa8WPqnFHMdeMz7P1HPiZtIw+ZpYmEOQNWYE5gSEzef1YgDWJ6v6dwam1SzhRDCLQDNROb/brNb16+X70UEghJYaRx8h8GlrFH1L0kwEPgiA/qJvdOpP5Ycj8sczO/RzDtYElLHlf0Iq3AuY1LgPILS+d26Tnt8zIA/qxiQq9YX8bYgc0mZ+oB0xzp1L4Dap/p26i7pG0e/0R6RUn0SekGsO8Yi054nz5/JsgaHfyndnwaIfMKFeeeWVZXFLKyc3HEIJa5jDt27mm8u94xmb9hqkVL/Xp8gWr+aImUgbXJBgBJjJWeAB7emCKQKMaGdJBJqOQE+JG8Jm9WzSEr1zySWXFAfbVrJWB2W6ycTkxBzkyJII1BHgfKx/TXqxeXlsYD7pWDTl+ZFs+106BlEQFkeW7hCgnXzb295WLVmypAS0UQoEse7uCnlWIjBcBHpG3KzyrJ5FiMrHxoSFsM20+hnu4+fdE4FEIBFIBMYNAUSsVSlgL17+a+HLlomNx63VJ+d5ekLc+BgIMuBbILkh35ssiUAikAgkAonAMBAI0sZ0zI9NEMduu+1W8hoKbMv0HsNolbxnrxDoCXHjHM73jPmKmSBLIpAIJAKJQCIwbAT4R4u6FsAj8ABpS7PosFsl7z9fBHpC3DiHi8RxcMZtp6buVFGOvRxovc7md52ul5+PLwLM8UzvDn2Fg3L0m1GcjKO/xzOFlqD12Ua5RT2TdnMo9fYaxTYbpbaAfeAfLiswd2iHaItReKb6c0Rf6qbe0rIsXbq0kLduzs9zEoFRQKAnxA1ZizQEC6Yic2TzFu03UxHibpuqww8/vGwnQhBLZWCQZkkE2iEQwiiEfry2O7cpn4Ww9KqPE6IiA0VJi4ITKUgYSSPBcdoYEvkmOGfUxgIyEETNWJa3bdWqVSXv2POf//ziEC61j6g+qTQ8p/NH7Tmb0re6qQfne0X07vnnn1+iXaVV2m+//UoqjPhe/4zx5fymtIkoXeNG0NvKlSurK664orjmzFQ/v2MSZS7NkgiMEwI9IW4BiDxStgkRWWq7FgEKwrVbi8ndZGHyprrmLOo1SyIw7ghwKRAFSggZI/xD5WCTkoAfDtPOOBVJTEWFI6pIKbNVbKo+Ts85Cs+ib0kXY2GNLEuhYRHBad/8KyVLk4tggkiLI9WKMSS1TGshXxA9z/nMZz7zCSlRWs/N/xOBUUSgp8TNCloyQxoEE4K8TZ2Im6ziVkMInMkkSyIwrgjY+J2QoX0icOTfkiCXxsD+ulwMtt1228YLztm0j+eTogJJJWw9owSxtIpZhoMADZSoSn1OQnQ72EjiK/ccLS+NqFffIz0sIk0qZIr6If6IJ/nSjripMy0bKxA3nnouuyY9T9YlEZgrAj0lbgSRweUwsKYrzk0TyXQI5XfjgoDtiT760Y+WLd4ITxo2u4Acdthh1cKFC8flMZ/wHIiq5LAizGngLdA8+0zmrSdcJP/pKQIW1pL00lzpf7S9Ejnb1/MjH/lIITksJtttt13ZB1VyWpqrppSQL5I3kzHT9aWQLzPJoaY8W9YjEZgNAj0lbrO5cZ6bCIwzApJR33///WWLNyTGnpaysyNthCPtkzQF41po05EE2g5aEb5sMtXnVkJPbHH9hEYSQaIlYubrd+HLpj2YsUVbMmHrq/aOvu6666q1U3t9+k77cWdpUlH3LInApCOQxG3Se0A+f88QsMrnw2bPSmZRpigCke+nIBzpCLbaaqsNyIvfjZtAsgUUMylz1jbbbFP2GuZjlRt3VwUT++4yJfMzo/lCkpAoUZCDLFxWHO6LVEuaLmhGPk65OWnnEDttx/RIczoIctkJg+m0bJ1+k58nAuOGQBK3cWvRfJ6BI8CPE2FbN7WPKtMgwkYo+9zehzRrhB+NW7sybqQNWYMBUyltEuJmL02muixVJe+l/sHf8fOf/3zpN/oGrJgn+ZjRWA66XyBvBxxwQAkmueOOO4r/m0hUO+LQEG+22WbFR9FChM9iak+zNycCw0EgidtwcM+7jgECfG1oS0SHnnXWWdXll19eAnM44Eu3YD9EOaRoKiahIKq0NfC47bbbSkJu2hxpTZgEk7j9rhfQujr4NyJpzJM0syeeeGL5/KCDDqqWLVtWNGGD7DcWGLHIcH+LkauvvrpasWJFWZDwUaQZ3GWXXUoKJ4uRLIlAIjB4BJK4DR7zvOOYICBXYaT2IPD23XffYhalXXrxi19ctBI0bpNSmLFEiEf03z777FMiZUXMJmnbsBfQYAlQ2XnnnUuQAN8y2jg70Ig8puWSzgJhGmThl+hALtVv0aJFpT4XX3xxMaFyBUDq9PFB122QOOS9EoGmIpDEraktk/XaAAEaLj44dWdugoPPzaDMSjRs8hPSLDGLErAIC7K21157FY0EU1K9jKMPW/354r124bMl1YTku8x9nNtpHJsUnRj1HdZr+Gnps4i9/H0ib2+88cZC2r7yla+UPs18SnM7rBQqxhXi6Ig8mwi4MUC7rJ7M4FJASR9CuyroIUsikAj0F4Ekbv3FN6/eQwQ4vH/5y18uzv+ShUocymmaMKEh6Bd5Y+ojWH/4wx+WoAPEBGHzGSHMgVvEpGjRdlna+1WvHkLbk0vJV8dva82aNcWJXTAGwpak7YnwtusPSBLyQ5PF/01fl7RY0c+RJ4EB7X77xKv35z+LJosT484YlEbEGOADh7hZrCCYDv5vCHu2e3/aIq+aCCRxyz4wMggQaKeddlp1wQUXFEf/9773vdVuu+1WnKYJiV4LNTmgaJHcd/Xq1dXZZ59dTKM0C3x9aNgOOeSQkuJjZEDsQ0UJdf5t/LRESyJwyIZcYXZFYRIcZiRiHx6555cUlOCA4ac//enqvPPOK6RI3+ML56B9G5Zp0n0l6GW+tcvHW97yljIWzj333FJfixjEk9+bAIf999+/aFx7DlReMBFIBKokbtkJRgaBIFIc3flSIQw0XmF66vWD8DeS1oNZlIn2Na95Tck8T4Dy2yLEmpbnqtcYdHM9Pm20ksgZXz8ayDDzMQNm6R4BkZ1HHXVU0d4K8qDRsrMBTZccgMMibvEEFkfq4IgxwA9OHS+77LJCPJnL7ZzBVJ4lEUgEeo9AErfeY5pX7BMChAaTKILAl8Zrr7Vsqo6o8d+h/aA9QgxpjWgSOGzTPNRNokEc+1GXPkHZ08vSsiEZTMmIx4KpbYn4PiG2WWaHAM0x7BBe2iv9kL+g//X9JhVjQFSsg6kUgWcqpyVcvnx5GSvIpjHD1FsfM016jqxLIjBqCDRrJhg19LK+Y4MAoUNAIiEcry+55JLiZ0SI8l2jQWLKahclOqmELRpfZO2qVavKDgnMaA7klkk5y9wQQNJEbTrqxSKhif2Ndm3x4sXFhcAWbxL42gdVUAPyZhx5TyPbNAJaxzffJwKjgEASt1Fopaxj3xGgXUM+bPtDc0RA2qbq8MMPLwIpo+U6NwFHeikipLEgwGlfaFdsUp5als64zeWbJpI2z6HdHQIV9thjjxK4c/PNN1dnnnlmdeGFF5ZdQ/i9Ma/SwDH9ZkkEEoG5IZDEbW645a/GAAF+WTRsouNoByRCRdo41As6EBXJRJqkbcPGRmxpKUU+CuDgmE6bYmsvCVrhlpqVDXEb90+MFYddFZB2mldpc66//vrqX//1X4sZ/R3vfEe13377VU958lN+55/6f1X1pD/IPUjHvW/k8/UOgSRuvcMyrzQiCCAbtvSxlc+jjz5aCXpwMPHxxWESFRFZJ2xNNVENC3J4CRARtAGbENT82qRoyZIIRHoQwTz6hL4h+vSmm26q7vvmfSVtCJ9Ih+9TC5d9JhHoDoEkbt3hlGeNAQKiUQkO+0OecsopJVEs3zUZ/rfbbruyEXpdeCAkCvNUU01Uw2oW2komUuZRmPIPFCwCY6TO+yyJAASYzJcsWVIOyatPOOGEklpHH+HDxyVh0dTuDPLEtfMhTRQTgUTgiQgkcXsiHvnfmCJAM2TfRSkLvvnNbxZHev42SBs/Nqv+1pJkrRWRx/+X7uGaa64paSCYlxE55lFJYrMMBgEmakQZAYL7KJimjbMPfehD1ZFHHllddNFFxf+NKdUiAPmPZL7pGzmYPpR3GU0EkriNZrtlrbtE4OGHH16/8Tk/G75sTDhHH310Sd4bqQq6vFye9nsE5LhDgOUZEy2IANOcyJqfhLd/3SS2fWPu15fhz7/QfqfShzQde+SSO4IEzbRrIra/+MUvlt02RHMLbHjXu95VngWKrdrbpj9f/1o+r5wIPI5AErfHsch3I4xAfUKn/bEtj5xSTHk0ExzprfblGLOq33XXXZ+QZ6xuFh1hGAZWdZoegR0SFEfC3dbUFQOrzATdSJ432ij9/Uc/+lHx1fT4Dz74YInYZPq3q0fTU7HwH5WbzoHEIZ+IKK3b2eecXW327M1KdLIccRZXfOD8ZhS0ihPUHfNRh4RAErchAZ+37R0C9e2uaIJEiZ5xxhnVypUri5CziudDY+cDgqJeIuigTvzq3+f7JyIAr9jeijYT3g5BHln6j4B+isAgMjRsNG9MjVdddVW1du3asiBZtmxZWZxsvPHGI+FriGged9xxBTxat09+8pMlcIjp3TPusMMO5blo6mjgFDjkmC1Q5J8JRCCJ2wQ2+rg8sok7/Hs8E7ORnFESgNJAMNsxxbz5zW8uaSraPXdO/u1Qaf8ZraWtjfi2ichltkOI3/CGN5Ts+e1/lZ/2AwFbTtmn16G/r1ixomz8rn34H0plQ6uMFI1SUWcmd+ZTz4TIrVu3rvjyMcnTyCFvyGuO3VFq2axrLxFI4tZLNPNaA0OAls3kbSJnErU/omzt1157bdH+yCUm4aes7VbuWeaPAIHJPHr33XcX8/Oee+5ZcrbJ1bXJJpvM/wZ5hTkhsGDK/I9Ai9787ne/W8zXtM4CcURJ+1yOPe1kPDBtS5aL/DWN/DAD0ybSFhq3dmMwrkWBM89L1cPVQd3NAVkSgUlEIInbJLb6iD4zIWOyRiCkFbjyyivLatznJnUaIAlgbfzOWVtetnoJs2j9s3w/OwTkbnvkkUeKCZrZeeHChbO7QJ7dcwSMh0i/8thjjxXyxv9NJLWC5PAh4+OJtNl+CgFyCNRpYkEs9S3aN/0MARUM89BDDxW/VZHM9hHOkghMIgJJ3Cax1Uf0mQknfi4mdZP2OeecUwIM7HSw0047FbOoiV4y2Ch1stY07ULUcVReEWMYSj1B2+l/gR+ZAmS4LcjX8M477yzaZho3YwOZi2JRw3XA4TzlsMMOK1GdTd+WjAZOMmyHlCEf+9jHivYNccuSCEwqAkncJrXlR+y5EQRkQeQiPxhCCHFg/lm6dGk5kLrWkmStFZHZ/8+3Df6hxSHsmbK8JmmbPZ69/IUI6gceeKD4hAUpm+n6xgSyx5yqDcPU3fSxYuFGi+6ZPSsXCRq4LInApCGQxG3SWnwEn9ckfcUVVxRfF5uZi2J8wQteUFbhIkVtqdOOtI3gozayygQlbQctx3333VdSrTBH+yxLfxGAPe0ZFwFHkCtmUME4xobN3KW/qZc4j8a5tcRniJCjft3Wc5v0v3oymTL5CliYbtHgGeM547VJz5J1SQTmg0ASt/mgl7/tGwLI2Ve/+tXqK1/5ShFQCAP/nQVTjtg0BMia1Tf/FzmrTM4hrPpWqQm9sLZAErQHHzc7TnAg33zzzScUkf48tj6MpOnHcLZIEV0pFyHNmAAQ2k+pV/gZMok6mELlQuPMTyvq/JnICi0d0heEUDLcyJHW5LGEaKrndGRT/WmIpa0RvASzLInAOCGQxG2cWnOMnuX++++vTjvttOqSSy4paT3sdYioSXNgxZ1lcAjIFWZ/V1odUYmHHHJIMVlnJOns2yAIVZALixEHooaAOZA3nyFtoqSNBUEEyDLSJoLa740FY8J44AsmDcjaqVxucrohZggg94IgO4IUaKmci9isWbOmRAkjOP6P9nQeoshX1G+bVDx3/WhXN99zo0BqaYU9W5ZEYJwQSOI2Tq05ws9CWJlgrZBNuIQTTRpTKAFlP1FahSyDQYDw0yYE37e//e3iT8SniOBHKnyXZWYE4OSg9XEgZkgaDJn77rjjjpJehRmaFi0IHOIkP94//MM/lKAbZIvZVLuEBonmCTFDtLxHwLbccsuihRaByQ/UbxA7OypIo2EMuTZNNlIoH58gn8997nOFuNFoO49W1W+QOfcYRW12zCfILlxh6DWIbNNI6cy9Kc9IBH6HQBK37AlDR4DQktT1lltuKRoA5I1wkbZA9BsBQqBkGRwCyAZiISs/coEEEN7ygWkL5uos0yOAZCFIfNCYPREzZmdk2CsspeR461vfWgixz8KnDRmjYaPhFAjSTaEhQ7IQOxonr0972tPK+Nl3333LePK9IjKbn+hPf/rTslgy5sL8ytR68sknFyIogfXBBx+8fu/QburRlHOYU/Xfj3zkI2UXFW4VDilRPHtTU6E0Bb+sR3MRSOLW3LYZ+5pJXXDPPfeUydWr5K6KnFOypEsBQHD43yScZXAIIB20QsykNBc0OciaLYjSVN19O9DqIGGhMfM/AoyMIcDyDso5OFPRHjNpvWjzEGxaNFprEdgWP7TWxlOQNveizW7dWxZpRNZp69yPiZaGddQ0U3CCOb89cweC5jngYj9U/VcKIamDvBfwkPPLTD0wv28SAkncmtQaE1QXK3y+OJ/61KeKBkIetmOPPbZ69atfXcw54Sg9QZA07lEJP9G6CAbhh3zQANUJQOMq3VIhBKS1zESAWs+fy/9BtJADx3xLN3WmYUO0uRkgI3vvvXdJk9PtvbUrguegoZtPCdy7qfd87tPut+7pWWg07VP813/910XDdv7551cf//jHCzFFcC0c+Qhut912RQPpWtFu7a6bnyUCTUEgiVtTWmIC6sF8I40BTQ7zKPJmL0Xah4MOOqiyhRLTTpZmINRcPYYAAEAASURBVECDw2+KCU/baRtCcRjCeC6I0CDpb+ETRqtCoCOk/dawDAsjxMPhmT2/dhv0IgjmtLQw0GfgPYwCB/WgfWQaPeCAA8qikHb/xhtvLHnsLEyYT2nnwhcRXoPGbBj45D1HF4EkbqPbdiNTc5Mn/7Xrrruu7KPIr4bgZH5jJuLDxgSXpK05TUrw27z89NNPL21F6DFd87tiZmtCCcd/ApqgRRQsBqTEsCUak58ks6ItFRoYZkMbs4+TuZeWjS8dfy6mQGOLhtSCaFAERAAAVwe4SxvjVWADk6SxDXvju9+EubVfBoH1OSzMNfoLrPSPlStXlohpqW1C28gHztxU34Gl9br5fyIwTASSuA0T/TG/t5WuCTLysZkoaW9MiM95znOKWRQZsBpO0taMzkBDI/KOuU1KCdoTJIAwkztvGJokBC38rAhivkq0JvoXYRwaNHWzSOBk76At9DxBNGnbguA1A+3e1AIxRbLvvvvuQoz4hTJpIx+DKsiQoq0UuCPQN910U0naTLOFyCFIxrsEzoMqUbe4n/7MRCpA48c//nHpKxaTfPoEkiCavqeJc24SuEAuX5uCQBK3prTEmNXDBC4P1Sc/+ckiVKxm+ZsQKtJ7cBrO0jwECDD52hA3kb1vectbinaKn1YvSFurEA0E6tdGFmlwEC/vkQDO5fy2fH7llVdW5557bjG3IwMOZkEHk9cWW2xRtCe77757cf732TgXzx1pLhC2RYsWFRcEWq5BFSTIId3IPvvsU8iQBZtocfnikEukmWsEjad5QP9SEG/kWhvX+0Gv6t56TaSR/58jipQ3J554YvG71feRuFe+8pVlD2QLllg4xPn5mggME4EkbsNEfwzvTdiaBGnXrLhN5IgawS/1AU1bluYigHBHrjGEgJYK2epEuGbzJHFt10XG/M90RnATjF6ZOhH+iy++uJjXOZFHDi7mzQVTgRIiJeU3E+VqAcAk6DquSUh7H75syMA4Fu0BP1pHu4owkTILI0BB4loJy6BwcF8kbocddigHf9bLLrusuuCCCwqRs32d70W1Ml0zX4aGUACM53INRG9QplXaNWlD/u7v/q669NJLq1WrVpUIXdo2WkKLA9reqFcSuUH1prxPOwSSuLVDJT+bNQLImoSed911VyFuTFUELR+2hQsXFrODLXmyNBsB5lGkSbJdWpH999+/CNW5akgRDIRK7jIaGKaob33rW+uT+BKMNCAIFhLiPOSDsBSw4nMkjEBnTifwadT0Lea3SRagCDCSDQPaSP6HzJDM2jAaJjYIjkNhsl26dGlJ7EvzhgDRpPKJWzeVfoTZWz/RF7Rr5Frz6v+4Tr9HDqIIwwVTiwN9Sz89fcrH07zmM4mJIwecBeigSGW/nzuvP3oIJHEbvTZrTI0JDolF+bGZfAl7WjYToImOtk0GditrK1aT86Am4caANGIVofFCwvmRaTvCcz7JdkMzRItCYHv1mUOJ75E7miKvhCIzJ20MAZplQwTghPhoJwcCZ4zBzgJpmKStXlvta8wjRI560c9spUY7L8DCM5lTom/Uzx3Ue/feaqutirlXupCHHnqoLDJoMy08YGshqm8ilQizhUWWRGCQCCRxGyTaY3CvmIg9Csfes846q2yZY/LiW3PooYeWoAPmrCzNRaDejvVaIt20NQgbIeX/+RQEgtbMtRwIWZb5I4DgWCgx6/HJQnpoKY1DBLkpZbqFmj7maFJRX6ZbR73YM1nOSf56tIQWrDTSzMFwz5IIDBKB+c3Kg6xp3mvoCBAINDIIm8mL/xHzlW2pmENEYtGujatf0dAboEcV0I4Ef/iC+V9QAgLAlHnvvfcWzSlz1nyJW4+qnJdpQQAhdkRSZNpR0ZA03Xz+svQWAQmJd9lllzI27O1KU8isb5FD02mciGj2ijxPR1h7W7O82iQikMRtElt9Ds/MN+Xyyy8vzsXMGhzJRa2JFrXyFC3GvyZJ2xzA7cNP6iZJ2jX/I2sPP/xwcWTn0M4Eunjx4mLusR/peeedV8g4Em4rJpucj3tEZh+g7+sltaV2tGhyGJc0mZz75UzL8fc7+OHkUOZDolzD75FkhJglwVzHdGqBc/zxxxf8+WmGf55zBpnu5HdPnH8nCYEkbpPU2nN4ViSND4oUEcwEEn1yHrfCN0HxY6Nlk+8ImcsyHARoQkXvEeYCQ2jLaAD4PiFtBA9tAJMav53YDSHynvE30rYcxKVz2HXXXTMJ6XCactq70o7yBVT4jPG3QhL4ZSVpexw65NaYiHHw+Deze9dK+owj/m2wNt6MJXMkP1/jDIHmDmB+jBxwrdeYXQ3y7ERgQwSSuG2ISX7yewQI/RtuuKHkYuPTIa/Re9/73vXpPdJxvPddJbQEceWY9H2OZBFEBHeQMmYZhIz52u4UNGfIm23FYrsqAgUh47iOaO+3334lpx5TaQQjIHS0p8gATRvBk6V5CGhr+c8cIhyzbIiA/m7uYspErkSHMmkiuMZLpJ/xyxhfG16l/Se0blxCHFFosU866aSSWzBMqAIb+L/ZezkIdWjv4nf5mgjMFYEkbnNFbkx/hxRIyyABpQMJYDazj6iVJrMon44s80PAJE57QsiE8AiB4/PQkMUrEiZyFzkT3YZIExh+I0UGjYs8eUceeWRxliZgCKi4j+sgaoQIoe99/TtPg7w5XDNLIjDKCOjv+rIdJVgLuAVI/Lt48Z4lIOLpT/+TMhb4CCLDMQbn8sxS5fzjP/5jdcwxx1Rr164t+epWr15drst9xIIJkVQfxNGRJRGYDwJJ3OaD3hj8lvAmqJE1W+ZYMXJSR+CYRPltMInSxvDtSNLWm0aXysEkj4zRohE0zDtwN8EjXUiW93YL8MqXiQCykrfi13Z+RxBoFxoYzundakL5RzGR8tVhJl03FXBCkKlPlkRgVBEwJowfqTrMXTvs8IapeWyLsoXbpz716UKinvGMP51a4GxRAjpol2maY7Ezm+c2BpE+Y5BWj6nUnCnYx0b2Fr7GsTnWGLXwdZhbsyQCc0UgidtckRuT39HkENpIm4M2B3mwUjSZmYiExnNYp9mJiWpMHn+gjwE75AxhgvOtt95asDfpM+PQgjGBxsqc8LFSJwRoBSQARdpswdMtOZvuARE0ggWJ1Obal7AL0850v83vEoEmIxAmZabKd77zHWXBQ1vNH+1731tXxthvfvM7f8Gf/OQnxU8XgbPwmU1p1dQJ2KLZcx0LLi4LAoEsjtRJgmvj3Fg23oz9LInAbBFI4jZbxMbg/Dr5+v73v1+tWLGiRIxypuWUzuRmwksfmt42NtJmEpcwFRnjb7bddtuVVT//QRP7oAvBQ4Boc35wNHpIepZEYNQRoOWyMLU4CU21hY9ioeJzAVc33XRTeW/RgnDNp7iPo14QxhNOOKG68847y+E786u65BxbRyrfd4vA4CVFtzXL8/qCAP8pq0A7HCBtnHclkOQbJTrUZGLyypVg7+GHKZOziT38yMLvbBikjeCybyR/OTmqbG9F0zqMuvQe7bxiItAZAS4B/EIPOeSQasmSJcXlgKm0H0WaFlpyAQv2QEUWaflo2ZlVabjDXcIcwdSbJRGYDoEkbtOhMybf0bCZGEwcfNg464q4MkHwu0AmqO75sE0CaUOaIjAAcRoUUaHdMkkP0xTpuZlwEHamWuZxKQ1o/giuQWExJkMrH2MEEGg1Z0aVjf2I0I3PvNYtEvXP5/rePGtsveIVrygm0y9+8Ytl4XzhhReWMah+zjH3GocW0FkSgekQSOI2HTpj8J1JSDi8ycIWOdT1hDZfDL5ryJpX5E10VKdJblSgQMo8s4nQs3iPrMhbxr9F2gzRmEyVzjFJmlBN4JNQwlyrHyBtTEkcpZFJWGVJBCYdgenmQD6orBXmEql0jBljx3xq/jSW+KYiha3F2LNAXrp0aTHNhhlXMl++b8ymPnN/gQ52pTFHZUkEWhFI4taKyJj9zyx6zTXXVKeddlrRslnRHXzwwSUXmy1y+DU1ubSSidZJ1fcODv3ImeSzJlcmBwfnfp8hqwICaBslFBZNaWJ805veVML1J4W4wUkwgmhW5JWwICRE3+UuCU0eCVm3JiCAWN12221lazhzirmGjyhTqOAGpk8kznzCHGsOijkLoePb5ojC1+7000+vPvvZz5ZxefXVV5fgJfM0v1PXzpIItCKQxK0VkRH/H4kxmdAqrZtK72Alh9DI5m1CkUaChqnJE4JnoCULc2Zo0UyATHlWs7ESlcaERlHm8tiGxmrYhImUhqaNqWLvvfeu3v/+95fJlenY9UVnwmVSShA3UW6CUewzK08fDAiWLIlAItAZAQEMy5Ytq3beeeeS59IiMPJdmocsfgT38J970YteVF59Zk4zfxljQeTcBbmT/80177rrruqiiy6qrrrqqrLgXDBlOjVPm//M6eY+R/33nWua34wzAkncxqR1DW6+ShJOipIymSAtJg0Ri9TzJhLq/Kb6MSEVcsghYV45z/PFM1EhYTRkzBLqbyKz+vUbn/kO+dhjjz3K5BgTHPMEk4bfw0ESYaSutcTE2vr5OP3vGZmKBSMQMjAiiGjcsiQCicD0CBg/FozMoQ7BBQKNpPdh2bBYFjH+hS98oQT9mHvNt8ia3zmfJk2wQj0fpvnLGKSx89t1Uwturi0Wl4ibBab7WXD7fZMX3dMjmN/2CoEkbr1CcojXCQ2bVBNIG3U7UhOrPj5sr3rVq55gFh02UUE0+YqYpGjNmDRNVMx3Iq6QUK8c6REtpgeTl0nOJBhmUStWfmpSa8g552hHzOrN0+7Zx30Vi+DCDBGGNdLmIBSyJAKJwMwItM4Rxo+IfEcUPsPMn+YyC0bmVOPOe0TO/IbgOY9ZFYELNw3zG4uI/51nDjc/cuswX4p+5dqQxC3QntzXJG5j0PYIkD0qRY0a9FTvSBtfitacQvG4rZNQfD6oV0SCg/xZZ51VTASeAQljgjj88MOLf4cJ0WTW6zLsZ+/183RzPWTV5I/4mvyt3L0yl2ZJBBKB3iBg4fihD33oCRejkaOJ454gkvvkk08ufrVcNxA18xxXDhq5vfbaqxxxAYtx5998881lMRu+uQif+XIS57LAZpJfk7iNYOsjPVTzNFJMisyjV155ZVml7bPPPsUsSgNlRdjUQiu2aNGiYh6wGmXSpEkzgZmUmDabXP+m4tqpXjRrNLO0AbBG5LI0HwHthnAbG+0iFZv/BFlD8xkXDZaPxYsXF21cWBHMc95r33bFwspvmFxFgX/wgx9c75tqruceQh4o5svsI+1QHL/PmivZxw/reT8RgsMBXy42r6IlCWBaqTe+8Y1Fy8YkynTYZNITpkqBAb3YumnewE7ABWhjJdvVb5AB2jbagcS/WY1vbDiY2vgi2o7Oe1GLNOgZQNKs9uq2NjTdjtmON8TO3qYsKBbj/H9ZJ2jg7MhA64YYSpztPJkCsow/AkncRqCNrbiRNGkcQrtGhW4SMJgXLlxYopLsLdqpuIZCtV5Xr9PcrZvyo+B3YQKISKZO1+nF5/X79+J6eY3pEUAEEDdpYfQb5mgH4pam0umxG/S3tKECSLQX9weLNETbmCGUk7gNukWGez/aOAFEDto14xV5IweYXlldaNzkh3Mu3zmBWlnGG4EkbkNsXwJVideoShCbeOWkauUtBxlnffuJSuMgyshK3EquXXFdggA5cyBvVmgmfyp139HAnHvuuUUNz+/p2GOPLddtd738bLQQ0N5Mo0g5rQ1ij+zrPzbC7of/4Ggh1LzacmSnSbnuuuuKY7s21G6EdidzWvOeImvUawSQs2uvvbZavnx5mbf5Af/93/998RM+++yzSyCDhb1ocelIBEIgcgo5MJOM6XV983r9RSCJW3/xbXv1SAprr1CraoRM7jFCFqnabLPNSnj4c57znDJhI27XX399ceK3w8Gb3/zmYhq1CkPuTO4GplcFIaOhk06DuYVDrBUa8haRTCI5rdZEKFGx/83f/E1JwkrjlmU8EAjirl/pc9E/9JlYFIzHk47PU2gnfqsWVMaqvTSlj0DcOi3Qxufp80k6IWChzUfOfsLI2dq1a6vLLrusaNeYUWllb7zxxvIZTTqNOgsKDbvE4xZvIV/IFa4SkW0A0csyWggkcRtwe9F8yNVjRc3ZFLHis4BoGXxW1cgUUiZClLN+OLAylfhfNCZ1uVWYw4TuN1ZYkfLBfQgBhZaNlsUqzO+RQ2QQkTO4+cUxubpfruoH3CH6eDt9wQQvRQyizoQilx8NThK3PgI/j0sbz5JmM4MZp8bndC4Q87hV/nSEEDBekS39wYIcISM7LL6lDvGZZMD+R/rJBxp1ZncpScz3+pb5nRygHGBetTuD/HHInkW7Ppel+QgkcRtQGyFlovokxiVMTz311OKz1np7WhFC1hGFeUvouFWU61hBCS93PQPRADWgETh5uvzW535nMPqdnROSlAWik/EaxO3MM88sUWm0N/whCYAmB69MRuts+JTGM8FrDjB2CVjj3ZHRghviNWmfWMA7aGIRLot9i3gmVGNdUJrUIsgaK0u7om9xt3Hwo5Tol7uNuYH/XBK3dqg177MkbgNqE2pqpA3p4osQZqtubs/0aUJ3GLAHHHDAE5I+dnONPGfyENDHHEymtK5SCjCT0Kymxq1Z/cHcYP9Y2jaLrXe/+93F0Zw5K0lbs9qqKbVhZbEgdyButHBf+tKXSkALiw45M12xIKCNY52RroSMyjIaCCRxG1A7mXytlqykmaxmQ9yYN5kz991336LSzqihATXaiN/G6hlJYxZBBphGmEqRuCzNQsB8YIHGvQHR5vZAK5oEu1ntNOja6BehdfWqb+gT+geZEqSeqfTSSy8te53SpEkd1W1hQnXdtMh0i9jwz0viNqA2YMa0H51Bx/lYkAFVdzcDjPkzVN9MXYIJ5O1xLQM7B9yAGnFEbiPQhf8LPykBMPwl+UkxhSRpa2YjMm/JzUXoaickW1uFYG5mrbNW80HA3O0wj5vDvSoIvAAEfmoIGbMmOUEj5jsLMsEqXGT4rkVgm//l89R/yAvfTVeQP+lDKAVkKMi5YTq0mvVdErcBtYdVDaLmIEjf8IY3lC1OmEZE/BiYQcIMTIMqiJnf8mnjfMongQrcYEMGrcJcL6JFB/Q4eZsGI8Bkct5555X+YjJH9vUXptIszUMgTFaClYxtPqkWZgumtKS09FlGGwHarDgQNPO8Od8CHunynfneYU7n64jAW3gh9MygPmPSDOKGnLHEuI4+Q7Muxc8rX/nKohTQb8wDYf70u9Cs6W+sNgLSBK1RBNDEpyVndPpZErcBtZUBRpVtcuZnhLjxVTMgrahEBhnEivBs2jkDXKCBzw1y2hN+buecc051xhlnlAHPz8FqyR53/N8EKSB+sXob0OPlbRqEAA0tnymLAdviHHnkkaVfNKiKWZUpBAhQgvWhhx4q84Bxb27gs2Sbo9SAjG43QcbM7drXq4MZnAYVASMHLrzwwuq2224r4xRhQ9y0uQCDHXbYoWwqT/NqwYWImdNdV6m/d20kb8WKFdWHP/zhQt4+8IEPFGJGXkT0qX5GpiB99rB2H3IG6csyWggkcRtQe1FtL126tNpll13KqoqvG4KlmMCtiByKQew7hxWagYeo0bY5RxSQ1ThNGz8YxO7jH/94uc6ee+5ZIoREDsbqzmuWyULABG2SJygIhCzNREAbRVupobGqzdJE2sz2qtdKu9XbznvzM2LGxImcSf1Ee0ZzZiFlLJIFCNmyZctKEl3zvd8hY9rfvE8+hDm03hfqC3Lvb7jhhqJdp12jMZNEnYZdbjcaOQdyhjS6h/7m+kEUM7q83qKj8z6J2wDaKgaLFc5cipU43wUFiaOdMxlQccvBY1BalVGZ08whcVIJIHZWV35vhUUbZ0Vn8kjH57m0xGj8RtsSAPpdLApGo+aTVUuCXCSpXVEcYfIynpGALPNHoE50ZrpaEDFjx6HEGAqCw2zJ/8w8bMHMWoIQmVcRIqSNOwwtGMJFm8UiIk+ausRnUnewuiBVsy3u8e1vf7v0HYnZHa4rOS8rDrMn4heFu4Qjy/ggkMStR21pgCNUDu8NWKudWNnM5zYmBOYTA10y1c997nNT/kvfKD4Mf/7nm5S8XMuWLZ2aLP67hIJfffXVZVJRBxGFVl+cUK3gXIvanU8cMhcDWp1nM8nN53nyt/1DABlgXidQTPD8WkII9e+ueeW5IKB97JpivJo3jEXj0oIrx+JcEN3wN+a11hJzXV1DZsxIhM7NAEnTFtqAqRORjsWu8yS4Rd68953zzKl+g7AJCtCGO+64Y7XTTjsVf8XpzN5Rn9Z61v93DkJIc8ff2R62SL/xLZWHtDHcZV7/+tfXf5bvxxSBJG49aliaDWpxG3lbgb361a8uvga0bAZxL8xVVOGLFi0qmjaaNT5zZ511dhm8Bq6VHS0cnyYD3apMQAPtnIFOfW/gI5N77LFHdcQRR5SVoAnMhIPUmWDqqvkewZOX6TMCSACNjUndXpf8IaMdtXeWZiJgnBrX5gtadePYYis0PM2sdfNrhUw5zMu0ZMYHTC1ozHfGhs/MiaG94m+GkGkTvsMWPOGj5lzXYtkQ6GOeFQjA4sGqofi+XqIOXqcrM33vt/zTbHFlX2naPkSROwx5sN9++1ULplxnskwOAkncetTWJgKDWTSYgU/bxVxJaPZyEkYAEUEDlybtoIMOKvuQrlq1qjrppJMKERMpFFuYEASK1RoSt3Zq1wZJGu1dasVmgkIuXctvRBpxkO4F0ewRtHmZLhAgkC6++OLq8ssvLwJEZKK25OTcy/7XRVXylBkQoBUVrMRnlZnLWNROzGbbbLPNDL+e3K/DhBmEqBMSvjfvmpPNeSeeeGLZnN2cZm62sEbmkDJt4TPuJIcddlhlW0FE2jlhOvU9UubV4tacyRTp1RwfJRZK8X8vXi26RYhbeKsTUh/bVBnfoRjoxb3yGqODQBK3HrSVAW2yYIp0DKKYQOJ+m266aVkdyt1joDOlyhN34IEHTq3Idp6aYJ5ZyB7TqAnKptWijaj6qfVNYLQ1Ds6uzDWcXK0m3SeK51S6WSHGb/J1MAj87Gc/K9pUr/xnJGvWhvpIErfBtEG3d9FGNDu0ojTcHNWN10HNHd3Wc5jnmWtivglTP/KETNW/a1dH51ioMiMiU8gNrRgfX6RMQdgiPYbPaK+YGefic9auDvP5DEGTJopJ1pZWFmPr1q0r87YAN8EH5vH6uA6scm6eD/Kj89skbrNsKwOEWdGK2QSM2NBQ1Z1BZ3nJeZ9uFXbMMceUFAIrV65cnz177do1UxPYL4ov22abPafkjbOiDy2cG3semjdaOIdIKH43no3fjRUlPw6TBJ89q0yvNIppgpt30837Akh3+OcQRIQ/ISTyGAHP0kwEkBGEYsmSJYW8aSsLsEks+q05NTRgFpNMkz5DYkLT5nOERqobfd537Yo5zXf81WjQpMSRXsU82U3x+2EQoMcee6w8H5KGtIkUNQ9Lns0sy5TuOeqyJuo6jPp2g2We0x8EkrjNAlcTDBW7/d2YOPhEmAyYK5k6hl0QSASOzwN/u1WrVlbHH//xIhD4ZVCt84MTqMDUqhjwPvPdoYceWnxAZOy+4IILqve+973FYdeq1YrVeRxhnUtLQNi4Tj9MBMPGclTurz9yqub3IpeTvXARAKbTLM1EwLih2SF0oxiHkyB8acMQsoicNaciJ8gKDaS+zBrAp8viOCI0Aytzjff6d6c+jujRoiHGFqm0md2SNu0xjHaAB4vJ8ccfX+QKqwhfZfO2ultAt3NfGUZdo8/m6/AQSOI2C+xNGogKkyOVtYghWqfZTAqzuN2sTzVhiWxy8IPj8Mx0etVVV1XXXnttiV6jZkcyrUSZ1ILAeTYH043PCBZEzkRrwrDCpYlD6vjkeG7qehiInkIWwozhOlkGgwCBt2bNmuJkzdRz8MEHl3bls5ilmQiMO0lDrBARr+Ykz2sOQdIsLlavXl1ICo2Y75xL22TuQVhER/IVdj6TZlzDOdw5BBOYiyxOaebaFdf1u5jX2p3ThM9oGeHBP5U20bzKxUUGAQdZkyURaEUgiVsrIr//38qPuhphQUoMICpqK584WoWjicqE0YSCfDmQK0SOSZc2Rr4okYfIlpw/AhJMFuoddfc7GjVHvdDUmVBpd2gdrYwFRSAOiJ78QQumopu8F30V/nFNwqX+POPwnjDTFjQT2iuc3JmysyQCvUAgFmRBhoxnh4IcKbRoXCtErYt4Z85EqpAx5+in+ig/NW4XNGHeOxTX44YR0bV1c2A54fd/ED/XMz+bt6Yrrhl1n+68YXwHK/OoOfmKK64o+9Syalgs77333mUe7YTBMOqb92wWAkncOrSH1SDfL6sghMUEZNVosqg7hdZ/HsSn/lkT3otC4iPBh03gAo0ZUsofygSIZNHQOUyeQbii7iZAz2aydZikrXqRQOlPaPOsbJlQ+dAhdwgjZ+DQAPKLQwg7YRf3ytfZIaAtLC70Vz5ABKH2cmRJBLpBoN5XjPMY7zRhzJXmQMTL2DX/6WP6nWJcmxsREQEXSJvzJaf1+wgG8JlzmP6OO+64olXrpm71c7gFONybNg4pG6Wizha7SC2skDa4wEkUOCsISw7/1CyJwHQIJHHrgA7tBd+ImMSs8kxqTSVnHR5j/cdIJwLnsBK2ypMTyIHAeVb+azQ2C6a0ZrGSdoHWZzZ509QhaW9605vKBMp0QeWPFNLCMQG4Lr84ExI8ETok0WROCNTvsb6i+aZrBAiCdVOmUqkCCFZRwPwcYZwlEZgOAeRL/+HE7/De4itMmkyUcpzdeOON1SWXXFLSaljQ0eSaPywUzI20RPqcOQKpYp1APmTxDxcSRMu5DmN+UhdvzLxSNtlT1ALZ3Pm+972vLHL9b5HbOtdO14b53eQikMTt920fmgoDxwRmghlXYoE4UccjVPxERKJK5iuvlBVzBCAwD3eaSOrYeO9aNGyi5KyETdaiouz0YKKiFSIUEDj35r9hYrdad3S6z+QOzc5PTnBaqWsr70Wa0WYi3bSmWRKBVgRiAepzRM1C6+abby6EjHbMQgsp49Bv/NII+Zz7A4LB6hDaNt+7hmsicz43B/g8ggKCtLmf7ye5wPr8888vEfvmxfAxlgSdJWTS8ZnkvjHXZ59Y4mbiYQagvmdioq42gPhnOZC3cSwxgZtgBSeIcLMCpqXhc0ETZ6KRB8zEEqvpOlGr4xLXQ8r4/NX9/phOkTkEENYmLbgSCkwG8EbaCAsaPBo5/2eZHgF9lS+RFTxhSVtK06EtW83c018pvx1lBLS9I0osOv0v4lJgEv/HyFnmlWbWdyI5ac0sWGnGkTY+VTQ/rmlsWhTQ4kqnUSdicb+ZXmNumOm8cfw+Flf8iWktWSMsXvfcc8/1iX5hmuN1HFu//880scSNacCKElkxoBA5kxdCg6yMK3Fr1WzR1BxyyCHVbrvtVl155ZXVOeecUyb7u+66q0wqyAAtjkndITCjTuJar6fLxoTtfKlJHFFgTbtnMqM1CpMqp2RaOwRSndwn/OJMbqEFjetM8qu+y9Eb+SWIkV1Y+ZzQHde+O0ltHmPIM2tTZN3CByFgkkTCjB2fIV+KccncZiHGj4q2O5z5ETK/kXLDK7IvCpnPGa0Pk+dMpV6nmc71fbu5oZvfjfI5xiUTM204H2A7N5jzaC7NpSJmzbVJ2Ea5lYdf94kgbjHxhR+H1SSCxgmUVsiEFGVSCQJyZu9SR2yzcuqppxZCS2PGn81Ez4yKkE1Xppuw3eeoo44qaStojCI7OHPtv/zLvxTC5l6OV73qlSUY4nfkcZPynQlvuutPV69x+Y62RFAIAqwtRAjTVqYwGN0WNkeZnxwWkV71c/MRiwAiZpG5bsqn0XtBRawFtGcIXJA3mm/9wJwWiyIaM9GK4bOLBCJ5Mdd1S/QnfdzN1LsQYrscnHDCCYW4sVjAnXsIrabFqPZJHGdCMr+fCYGJIG7MShdeeGFFi2QQyZODGJi86tqjmcAa5+/rk4nM+8cee2zJ1C3RsM2N77jjjkKyrNhpxphZZyJw0+FFM2AVylyAQPN7Y04lcLSJBJx2cbjsstVFA0ojFwEOTKt+P4mFhoX5ixD3KnpXRJp8ekhx9udm9wqEDElzGHNIFqImStv2RkxryJmx4JyIxEYKjA1jxl7EfM58T+PqmrH4dM36vBY+Z/pJBAUgD1l6h4C2koft6quvLlYc2k1WBu1k2zluDFkSgV4iMBHEzUTFBGfyYhKgccuyIQL1yd9k42A2tloUxEATRwvH78VuEa997WuLic6V5kIYrPSRPwdBVC+0CoiIFCZMD2vXri37qPqMBo72AOHTpiHc/D6CTOrCq37dUX6PtPFLIsSt3mlCkVkpWroxdY3yszet7sZKjJfp+j5yRfPFrI2UMaHRkgWBC6Ll1fUQOQsTbhsKM7j5yj30c21t66MkA8PtEdqKqweLAZMo1w+LKfOYqFqEzdw0n8XtcJ8w795kBMaWuMWkCnyTnMioLNMjQHhEgZ//ad/e8573FHPNJz7xieqss84q0aeIMAFEyCBTDsKmV8EFSIkDQbQVzPLly4tG4uc//8XUPZ5aJsjvfe+7RXO6+eZbrBd0zEqEHE2euo2LdkF7WNnTzCCyno0AR6KRuCy9RwDm9XkkCBrSpQ0c3sNfv2eCRNKMGxph5+uP2o0WjYAXac3nCQmnaXM+/0RuCBJiWwx1GwgQY7T3T55X7ISAdtOeFpYsOPwImawFtL35zW8u/oJ2p7HYzZII9AuBsSNuVrgmUJoXGh0r2Doh6ReQ43bdVswIp3/6p3+q3v/+95fJSv636667rgid0H5J8cGE2muyJPccgkJQEYg0TrbxOuWUU6oTT/xkIeZIHsdtASciWZkqkD6r3nEonl2+Ns9Me8PXkHmU1jG0M+PwnE15BgI6kr2qExIWQSDwt4D57Gc/W4S4Po9sMe8zXzvXxuD6IX9Egp0mhmD/f//v/5Uxow+HidNYY8Y0bsKc2Q0OrWO0m9/kOfNDQLCB/UT5slnUHn744YV0swLQrukj2S7zwzh/PTMCY0HcCDUTJjOESdKEaxKUmkKaiRRsM3eE6c6or+xNTDQ9sLWzBAd5vh38c6xC5SgiyBCm+Zqk476EWV2gMRktWrSomHG1N40Fgm5SRW6YLPg0Ml+ImOM/J3oOkUfsTayjNrkiA/oxTRvyCmNkAGHw7Flmj4D+ResFW/0L8Ue+aMf0bX6d3jtPv9d/oh0Eg3zgAx8oJuow1SN7CJlzLHT0f9f0mbbTZvqqMqk+mrNvpeH/ghLghhtuKH5szN0It0WTBeUuu+xSzNfaPEsiMCgExoK4EcImVhOoidiEibiZLOdLHgbVEE2+T5CcIFKIAi2bwyqTHxwBxxQkR5uVqAAGjtTez9UfJ+5bxybqQJuBJNYL7RPhaCsZvnGIvPfqK4I1spMz66qT/wnjUSic0JFOdSf8kTb4eo4kbo+3oP4Rh0/1oTj8j0gxVdLMCrRh7iSYzR8EcmjIkC1ziP7r9wSz6zqXPyHBLWqwvqBw/SjuE/6ILADayD2yNB8B7RwmUX69zNsCpZB57WjhKiAogquStDW/TcethiND3Awmgsth8vTqM8XEaoWLLNQHUZxrEm5aCWFg4h8V8qDOUWDvf5FTDk66TEc0Xia4tVPBBNqDtoujLp8Pk169feJas3mt1yF+F3VBaJhrHRyHaeD4hDm8hzWiSfAumNrWC+Gk+VAvv0WK9CN1rPetuM8wXhEAUdGIMVw9l2dAOsfFDDwbXKNd6r+xWJM/C+mibUfAYo5wnva1iDPOEDV9lVYWsYet3yNVDmTNokCfXbZsWTF51u/VzXumVH6Z7uPa7s10ytyv7bI0FwEyg/UGWbPo044IvvbjfhFb+PFpy5IIDAuBkSFuVkBWyhxDCS8TMMdek/JMWrX6ZN9O8PcT/Pq93cf9EQMCApmhOeGfNSrkLbBqxZFJmv+O/FLMlMLj7cBA60D7xWGXaaFbx+u4TzevrXXxGxMtYkYA01bRuJmEORMz7RKu+pR2UCemVBMz0ofEEbjahDDvpFXppm7zPUd/lxhZvZE32htkEzHRt9o9+3zv2aTfE6RBxIKMxTOHaVKfu+WWW6o1a9aUyGfzgt9ZsAVeTPsIuzmEYNbmcmzFnpra229c26HNzS1zKcz30ugwtQo6CIEf9Z7LNfM3g0HAAkBOSXuK6j92kDnmmGPKPE27bW6Y7+JzME+SdxlnBEaGuFlJ05wgAwQw1TWBjPzQlBhMJt5WojTsxovJGgmIg2AhUJAL2iqqd86tBPIwScJcsGolD3ywOGFvv/32pZ1sUH322WeX1SuBSevAxDqIqCtY0qA5QtOGyJmcCX0Rf0xmtC4IpgnbnoLazG+Qam2D1A3LzIWsECDIi9QfCHKkAJlLezX1N8ZuEDPtZqwYJ7SMxjr/SSQWFtqCW4Q5wSLOeXARlYmQuZbx5XoO13K+nGYImrb3P1OXRZMy0+JvNripD42eehsP2i7mgdlcJ88dHAIWdhdddFFZINHcLpjSyOsfdjrgkoGwZUkEmoLAyBA3mhEmBwTHbgcmWmYkJqNYBZmwm1RM1oSGV2SB8EFeaHsIHfWXWDY0cKO4kqsLpCBxiLS0Bkx5yOjtt99eCJJIUOYpeY4QO9gMqhDaJmNHvRDwNFkELdOW9zQmNDNIg7ZSf31OoEP469UXCHUM6tfuxXskQJ/Rd0SS0gjy5UM8+nnfXtTdNeAUCyr92+EzhEr/hy/MkWcLMc/rfOQN4dEWDoSLBgzh15bGPwLnOs4lXPUr88FsS/Tb2f6ufr5rIIT6DWsAc6tFCh+5YZH+ev0m+b22aVf0HW1m0cY/l2WAWdQigIsHs6jFdZK2dujlZ8NEoJHEzeQtRxiharImpBAAE6HDynpUiknDCo7PhChHGkMmG6SFRocw5lA/CkJ4JszjGUIQ0n7YgcFBk0Xzhhz5XAnCTbtF0CHmgy76F/wdJmtFe4keY+qyawTTr3aSC1ACVAWRIJD1S0QiNDqBQTmpB39oBfnn0d7oN0hKUwRJCMR4ZuOVEIwEs74nHGGFhKk7vH2GpNGgIW2eDzFF0HxOq0ag6g9IKi1p7Kmpn/S6RP3nc13PRPjHIoW2xuJEfyH8swwPgdb2jb5n0YCo0drqbxZmNoGn0Q7lwPBqnXdOBDoj0EjiRiuzevXqMqkjN3yjmDQkfSUoR6XQKFxwwQXVGWecUTQKttmiYSOMHBxcCbJxK60TpedDijw7MoTEffSjHy1kVbv6nCO4SL0maCeQAxocwtdkzknZZt2f/vSni+ZQu6on7Z2FhEneIUVEr8mn+8ROEQjAsPs/goKEeUXMaMf0YW3OlYFpfO1UYAryhtD6PrTLFiuex2eEpuvQIL71rW8tr66DtClB/pE92vZ4LV828I9nQdzkd6N10y8Qt1HUojcQ3jlXCf51zT6SxtXmvPPOK3ORRQVfWBaCQw45pESLjuOcPGcA84eNRKARxK1V0PMLsfKhbaBdYJ6ilRmVAUXrgKDIbWaSEFLuGZABBAVZaX2WEFSN7CU9qJT2czCj0m4hQoIECHlmMkSAgKeh4EjeS5+juVafhosmTX2RSmRDHZEIE/7Xvva1omHxDEg4EwuiR2DPJ+oMsaGhpZ1lrmV6s2ghYNRnEEV7qIfD8xJ+yIl+zfGeaRkWziMcETKklSkTSdfOzJb6ud/Byzh3HX2dVl2BE9IbJk5kbxSL54KVZzVn0dAuXry4kO5Btdko4tbvOiP9oaG+9tprqxUrVhSFgM/Nx8a2RTS/Wwux1nm53/XL6ycCc0FgqMQtCJuJvF44ko9q2DxBRmNIuDGbEERMuyaHHXfcsWhx6s8a7wOL+H9cX2mzHAQbgU2rxVRmJcwkKUJwyZIlhbzBYNiEltB1tCNi2hRZ4RsTkY2eAxGlXbUAQWD8PsiP15m0ML5H3ETmSghL6+xetDjzCepALALPeh185mAuUneaM351TEqICBKNOPq9PWtFuMZ2Z56REERcmMBFDyOvSOZsS9Rttr9rwvmwMoYj8lB7hVm9CfWbtDro39rD4p85VN+y0DI368+77bZbmY+ZRfXtehnlflh/jnw/vggMjbgFUbFqJ+xoNwg5QiC+GwXYaQ6YRvhFEWaCEEQo+RwpQdakHAiNgmea9Ikhnp+J1IEk2MpJdnLEQF+gtdQXEB3kSN9oghau3n5W6e973/uKNglRl8Nu3ZTP1hVXXFGeBTGVy079PTOtFEITmjPCxeehqXFtK36aPeRJMmNaSpGttu/q9PyuEaU+dmi5ok/qj3zQ3Ms5iJZ7qZPfM1EiiXwQpdbwql9biDgHIUEa/Y5JGCmRKgFJ61Wp171X1+z3deAmMlm7e7VQa1Jf7ffzN/X6+rT+jqjZ3WXBlDZN2xx11FHF4oFYd1pcjGI/bGo7ZL36g8DQiBuBbDVPW8HsQqvAtLD77rsP3Y9nNlBbxfFhY/ajdUE2aEZMEExGSEhrmfSJofX5aWqOO+64ommD47/927+t3+kAOZKlXMSg1XETSmv9tTnTPpKOtCM9BAZBzlcTAdNPkJ599tmnOvjgg4u20UofMaIR4B9F8ygoAgnwe8SJpo+Jx3lIEtNOncDRkiEPvkfE1MV9/M9ET2uHSOqbCuKG0CnuH355SJvFh0hgZuF3vOMdRYPGzOR+8cxeHcYvQjfpBckWwMIlQjsiCzCDc5bhIAD7CHIxhgS+0ICbQ2jzaYmzJAKjjMDQiBvBQuMgXJ7AE3pNiNSFUlOBRTgJ2ttuu61E+4n4M2EjGPauEwFHI9GOtDX1mYZZLyQAiaCZotkRjELzZiNnAhGhsIKWzBSRi6jUYdY57q1eQWaYRJFLz4C803YRIHF4DsROcMY555yzXhPHPEnoI08EDS206yq+4/BvgaN/IYh8AI0fUZkCJ2Dl2qEVcw1abAROP3z7299ezLUIm98RbK6PeMEc4QuNHG2R6xNu3RKzwCAwmaRXc4H28oocINb6gIVoluEiYFxqD4SN1tr7Tlq24dY0754IzA6BoRM3jvqEEdIWhWAJYRifNeGVvwRHccKXKctKjvqdQDUhcHalrZiuhED2fONY5vN8CMSCKZOGw0TL1MwEWfcfsz8kvMPhuBekIeqsPaZrl3bntZ7vfybFTr5oAlbks6OBE3jg2ZAzfatdQQgil5lX2jhjBuFCzJjmETLRphY94bumHnwJRW3K3N/P0opBP+/VtGtrAwsPJm1kzeLCYhT2WXqPgL5WP9rdIb63CBEwxKRvMR0lxvEk99vAIl9HE4GhEbcYNFb6BBJhRBtAEJkIaS8I8ijOo0lgGvKdQem81uI8mg6vSJUgB+ajKFI5EJLuRdA5x3VMwFEn57qP8wjOuAaTl/QeSBsNoQhRqRpc30F4Ip0hPF3HfQhWh2v63n3DYd05invx63I+ocwnrn4d55hwmMU8n3oRFvXzfG/171A8m3t5PteqP5/ruKffOId2xTPUz1NX13I/79XLEdfxW/Vw0Dg64r6wiPo7T7s64AxPdW8tnl2daKjUWXi+g+/bqaeeWrRLgRsNnXq7DyFZxyHq7RnVtRUH9Yk2UWfv1cu161qmOK/+fJ7JPR1RfK/t1F2dPJ97thbPx6ePRkZUrS2aaG3V0SJA/5iuOIcmjTZM/5PCQGZ35KwdntNdK7/rDQLmE+ND3zZWtLF+k6U/CBjbMPbaCWfjyfgkI7zGvBQ1ivkr/s/XRGDUENiQ+QzgCQycIAnMQzfffHO1bkqTYOIjbOWrskKqJ67kN0R4e2WOfMtb3rI+8lCVDU6Tp2g8PkH85kQucuquX4dpyd6PTEvMSAQpPyKDvC60kTO+QbRrfIscPnN9/kdW1cgFYep+zgvtBlKhmFiYwPgtRSoJZJQmyfO5ZxSResuXLy8EQBSqfRQjoMF1CHUEl8mMFgpRsF0W8hjaJwTEddZOpafwG/fgHE8b6FowV3zHvHbNNdcUzDnqej44IEGeC/Hlo0VD5HquzQeRjwhyosAcmYWJuvkNAsEp3zWDvPh81apVxUTo+yOPPLJcK4i5idg5MOIYL1GxthDUoa1p2Ggz7rrrrurcc88t+wg6nz+WetMo8SdEmBRYIUWCBdxDP9DW+gGsCFoaL30OjvBgfoVX3cSFQGo7vmLOQ9Bo0phBmcWCmDJZnn766QVPpOzoo48uSWNLZab++J2+LQgDUYOpayPBzJvGAEI2U/G8NAieR9sjbvHMM/02v+8dAkiD/qDN9FXjSF9CqJmZtVOW3iMAd+PGvGQRb06arhjXjiyJwLghMBTiZjDFypQgRWQIVgMTcaP5aBVINFtIGIJgYqyTHo0SGhMmVwQDieNj1nodv2WatVImhJ2DTASpiQZGdhYtWlS0KIgYAYv8eE8Iqw8tIfKC6JhQTNzqHgVBdQ/C1oQemh11ClIT5yICyCjSgTzUSaRz3MP94QQz53mWIFHOgYHreB4Yezb3Vyff1QviSVuDVMTzOS/IiPupJ80OMqdtPIPPo3gPJ3VApLQpHN2zjqf3/NZcz3t41OvjngiW3yElcPS9tvQccES6PBfcBbAgZQisI1bQ6rpgyswKW4ROvV0bDt4HVrB1ns/gqFiZB+GO53OeNoa782Dg2vpC3NO52kN6Af1Yv4RTvaiDayGHdgGIvuCZCSHYydk2XXE/PjpIqjxx+oh6ZRk8AvqBhV9oSS1UtI1FYOt8M/jaje8dzbsWb/YUtjA3h2dJBCYRgcel8ICfPtTdhB4hVPdxq1clVkyEr6O1hGAn6AlfR2vOrbgG4YdoODqVuB4S4WgtCE9rQTTqpX4/wrWTgK2fh0g46iXqot5IEuLiaMUqrgMD13B0KnFNBMjRqbhfmEYFBNRL/X7ITivhiXPjPNci3Bz1EnXxfAhdYIXY1UucRygigA4+cLRbNGIwofFArmjtPJc+gHS1Kwic71v7SZwb9UaspusvcR7CG/WKa3iNeiNu7unQp+o40MIF4Y2kthYDyAFcCCvPhDBqV/dBSl0zy/AQ0NcsMvUR/dW8g7jXFyzDq9343NkYsrhh5eBewOqh7xsPxomxkyURmDQEhkbcCCWFgJpO5R3ndWqYmb73u27OievP5tz4Tetrt9eY6byZvo/7dnue82dzbly/9bXba8x03kzfx33r5wUZQiY/+MEPllOQN5M6DYiUGggszSSCg3ghdgRst6V+v+l+M9N5M33v2kimPVCZx5lcCSgBC0EK/R8BGsiB50jSNl2r9P87bUNLyuSOvOlvSDnS1k2b97+Go38HpAy2Fjb6v7Q2xgeN9VuntkjjoiHqnBtDlkRg0hAYGnGbNKDzeXuDQDvBSLNGaDKjSx8iWpMml9lYlJ/cacxYTSU86oWUMQcjmszX/lf4f8a2aTSb0tD4jpYXIc0yeASQivC3pJU+4ogjKtHOre4bg6/Z6N/RIp7/oDF80UUXFdKGIBvPNOT14KjRf9p8gkRgbggkcZsbbvmrBiGAyNBcEZ7MyCZ9DuMCMGivECHCgJYOMaIdaWJB4GjU6tpBZrh3v/vdJdWMIAbPxHTKVMwfkLYny2AR0D4CkbhuMNkxfSdp600bWKggbLToCDI3mvAftHCh6ZSSiTbOuM6SCEwiAkncJrHVx/CZI+CAH5jgBZO9XQsEqZjkRRN7TzsnSEBgwihorNSTxnDRVKCMaGhCjS8cLQTfH35Vnik0dGPYtI16JGZS2l3R2o56CTN+/bP/3959BctW1esCn14veo6hjomL4kG3SDKhUEhG2JIzBQgiCCgUJaIU5Yu+oW++aJViQERBJEcFdEsGlShJSRKkKEoU0KvEAvXh3vUb1Nhn0nb36rVXr7U6fKNqru7VM39zjjG+8f3DyPfZERDYxc2B2ZOizCTKF1RkOqUczjUzAJcIeQ9rsNDsR88WQWDyEAhxm7xnmjuaQQDZsSBrSBunZqN4qTiM3Pm/MaVSSpC+UVeuBEAgnCJSpYQRWWeqJRHSn/70pwtRzYNfeAS6merrWfutq9vk8yUE+DZTz6T1MPPMWWedVZRyaW6OP/74EnjUiZVAHYsSrDvRyf/ThECI2zQ97Sm8V6qaQAXEDIHj5CyVg1QqRvLUOeSnMzJ4FKGqwRZ83r7//e8XEspEzIRKYUwJAqOOAMJGAZf30gwi6qNBlehQ7zKlzUAqJQgEgd4IhLj1xiZrRgwBJhUNPqJCgeKsTDHjc9RLMfO7NCPUtYMPPriYXqhukiab0L4m1pV8l5rVLQXMqMCAhDKN8oVDPl2vFCmSUusQ+QP1SnEyKveQ65huBCQkl4xbonDBRMzO/DWr6dn7LU9iShAIAr0RCHHrjU3WjBgCfF+QLbMP8HmRQFjSXcQMmellPrEOwaFYWczGwC/McQQq8K9BfHQkjqvjsL38c6NYXLupwKRGQEIlIzbjhOAMpiZO872wGMX7yTVNNgJ8/wQJ1VxsBhqiR/mwbbrppkURl5Ox7XNqHyXv8WS/G7m7VUNgNHumVbuX7DXhCPCHQVDOO++80tgzD1KZNPhzcQwXWXrccccVtHQmpr+iBCBAjmNKq6233nql+XQux16MR4BQUtYsHLp1hCLtkE9ElGkYAW13hItxXTlHEGgjoN5Y5GI7++yzyzzPFO2jjjqqTGfX3rbzewhbJyL5Pwj8DwIhbv+DRb6NEQLDatjr9Fr8bvjciGoTxKBQ50R1MssiRMM65zBhNr2blCH8hOp0QMichL4hbsNEOseaCwIUNXMYX3fddSWFje/qmHQ96lNKEAgCq45AiNuqY5c9FxkBxInZsy7+ny+Z4ghNuTKVlOMKYOBHd8YZZzSnnXZaIT+cpuVM22abbVamJVjkW+95OgqGjlDOK+lC+A6JpGV64v/H5Ou+UoLAQiKAlElP88c//rHMamBmA2o2JVvggVx3ct/5pJKnBIEgsOoIhLitOnbZc0IQYHqkBFhEmF5zzTUlBxwTpI7HIm+U7O2SfvKBGxXVgHlUx0gRdP2cvCWFNWk91aN2lKPqrzchr9DU34ak0OpNzcNmIKEINmC2324mD6EI7vYgYtRcEKb+IQaAsUEgxG1sHlUudDEQMKXO3nvvXRYqAvJGPaAkSMPBjGoaLQrcKKQt0BEikfzymEwFcPzqV79qVqxYUcgbIuqe+PXNV51cDPxzjvFBoBIvudUkxjV3qEHOPvvs0xxxxBHlnet3N3kf+6GTdUGgNwIhbr2xyZopR4ByJQCCmsXsgwxREpAjnc7aa69dfODaU1QtFWSux3Uy67oekbIIJ/IpjQp/PVF8SbWwVE9o8s4rLY/IbOZ5AxzvnEECZXoUBjWTh3juKAi8hECIW96EINADAWRIJ7RsZhqt7bffvnxHhjhaf/WrXy2pSAQHMEfajjlyFFQE+d2YpqRJEdF3zjnnFL89Pm8hbj0edn7uiwBzvHQ50no88sgjZVBgMCMoxu8U3f3337/kSeRfmSnY+sKZlUFgXgiEuM0Lvuw8DQiIzpRvyoK4mS9U6hCBDP/61z9n0oncPZMMd1nx5ZFDrSYFXipsqIQHHXRQUdjOP//85uabby5pQ5h7OYZTRVJmR6Cms0DGR4GQz37FC7fFCy+80Nxxxx0lHY/gneeee674Vhoc8K3kOrDbbrsVxbdeBfyUaceu4pHPIDAsBELchoVkjjMVCKy77rrNF7/4xbJccsklzbe+9a2ZeRbPLqqcyNRNNtmk+MBR6ZaqUP8sVBDBFOZmpQZS35A418ZhnCk45eUIIBvUJcTErBq+IyfIeK/ZOV5+hMn7TwCMd+faa69trrjiiuJLeeyxx5Zch/3uNoStHzpZFwRWHYEQt1XHLntOOQKm6kGARHDbkHxCAAAubklEQVRefPHFRYmjwvErk/rgbW9bc0bdev2SKQ6UQjMpiOwTsHDBBRcUs9a2227b7L777sV/D6mLWeulF5n/Yk1nccstt5QcZKKJ5cQzXdoaa6wxdW/8XXfd1Vx11VVFbbv//vtLpLJBwahEVU/dA8kNB4EZBELc8hoEgVVEgBJjjlNTUPEdM/0U/x8TZ1MnEDu+ZgIGBA4stmIj4hQxc51UE+Yus0Tw0RP959r33Xff4qO3ihBM1G4wEsjB6R75Rk5gZzGn5rQUUaKip6X2YB6tqWUEuGy++eZlZo6lVJSn5TnkPoNALwRC3Hohk9+DwIAISIJLwaJuUbb4lXHa5gf3t7/93zIZ/Dve8c4yhZZtKRaLaUZCOpA0yhvi9r3vfa+59NJLS3Qsvz3BFSlNMSubOsyzo75tvPHGhXSbD3caFCaE1cDD/SNrf/jDH5oXX3yxYODd2XXXXYsbQH1X4sNWkchnEFhcBELcFhfvnG2CEeAzJm+aRcoQBOlHPzqtmJfkWePALQccQrDYAQLUPrMoyPXmWnTQpvtiCuTLRVVSFpNQjtqrQGniA2jWDD6BZspYa621pkJt875Sin/wgx8UfzbqGpM6wu99MeDoLNP8rnRikf+DwGIiEOK2mGjnXFODABOlieylSODQ/eMf/7i5/vrrS74rJksqF/PqYgcI8Ger03shKlI6MAuKRJXGYRqUpV4vofx31EkYIWwIOFO3wIR2xv9e+4/j79J7UF/NKUpxMzcvsrZ8+fJCXEVJT+q9j+PzyjUHAQiEuOU9GBsEdKjV10hnoqPlO+a3UepcmJCoEUhQJUOu9bbbbmsef/zx5rvf/W4jOnWnnXYs6tsb3vBSxOJi3IProPzxyzMpvWz3IgYpcRQmBA5poc5NSxE5irzy/aNEUp8EnSAtCPgkFvcpkObOO+8sJn3Jc9/73vc2e+65ZyH23o/FVoUnEefc0+gioI3W5lrGTT0OcRvd92rqrwwB4mvEz+bvf/978c+iCvidiQ8JklMKcWPKGZXK13kdSMBRRx1VkpdedNFFZR5U0XoIA8VLwtz//u+1igKHMC1k1nmNFEJpgSWHfNcAS/5dfN74Mk0TcTPPJt8/REZwAtLimUxatC2l1zP2vN2r5W9/+9tKE/qWW25ZcrHxwRzVom61l37XaTvv+2IHBfW7pqwbDQS8E9pffYu+RDvYqwz6vvXafyF+D3FbCFRzzHkjgLDJyE4ZoAwx5ehoEDXETWf7k5/8pERHmrx66623LgrJvE+8gAfgU/bZz362LDfccENzwgknlBQd8q1tttlmRX3jA7fBBhssCgldc801S1Spqbv4dsFX4d80TQELyIxAEp/MyMccc8zKSOEFfB0W9dD/+te/iuJ70kknNVdffXXxb9xuxgy8444vqb6CD3RQo17U/fbS73ptp0PWQacEgTYCCBtlXfqfJ598su87Muj71j7+Qn8PcVtohHP8OSOgojBbnXvuucX/hhmnjowklFWefvrpYuYRAXfNNdcUtYp/Dn+k6qfVbxQ154vqsgNyqVOQ7sOUWMhjNeV22fxlPyFqZjGQG8uUVJL5ikilgulkHdN9LKT6hrgxB4qa9HntTAoTPnfwFlXoGmBKtZj04jnWDl5gwqhMXzZf3Cmpl19+eUPppfJS2NQv9Ue6Dz5u6g8TOuKmftV6s6pEDo725cYgl6CBicEA3zn/r2pRL9yPOuMdpSB2K+6P6RsR907rmL3LVBZ1dlil1n91R5oUpJ/f6nxdN+Avovfee+8tA1PPqCaDdg+r+lxW9b49T6qUACaqrIFyt2CVQY/veJ6Pgbm0Mwbm0hO57/oeDnqsQberbZh3yHvj3DB23tqndDuWa0XwbOs9HpUBbYhbt6eV35YMARnrNc6IAxVIHqluRSVH5urISQOAZFCrKFsqqgqpEV+oUhtujY2GaJBz2UbDqwGW0NXiO8KpEXHfTFmmEdJILJuZ5UCnY/2wi+vQyTiHxlinA0cduaSr8tDtscce5fzDPveoHE+ABh8/U5npID0PndQgz3JU7qHbdahDVF0BMRb1SKdFWaOwIlDIqTqiE+vXeXU7fr/fKvEz6OAnp37Auf7eb99+6zwT9+D5+Ox1PNvVbZ1Xx6s9GHaboP5X3JjYh9neOPYzzzxTng3iiXA7/lISN22t+0Rm5ls8u3/OTBeovfd81D3HHeZAtU1w4eadQeaRMHgOUrxH3iEDavt490ahhLiNwlPINaxEQEVWiXU8GgqVT+UZpFCQqF4f+MAHSqdk/1oGPUbdfpBPDY3jIlU6Q43DbKXdmNRtzbLAt4ypkvImiIGi4H8EzjRa73//+wux4nc1yHnqsQf91KHDT2deM+XrOIyyKSXWjbLv06D3WbcrHcdM56hB9r5ZdCCeqfu0DKqe1mMu9ad7QsK8O7fffntz5ZVXlnfI+7LdjFmUr6WgGAMBzxk56EV+5nMvta45h47YO8RnEIGbT3EfnktNKt3r+ahjzm1b9ccAxIDOb9qEen3zuRb7elfgh5yqPz6do1sdn8u57E/REjBkMEUdNTB0rqoczeV4890WXkijtsf7M1/fT/f3qle/qvhWrrveugUz7ZvzwG8+pY29Y3lnKGzqNrMo4jnX5++YjgP79vHnc53z3Xd+KM337Nk/CHQgwDxI9SBLUwVUlEEqmkqq8aQQiY6sZZB967bz+ZxvhdYJIUgWDc1pp53WnHzyycX3CpFD7JhiqjlmPtfaa18NsgZ0v/32Kx0tMvOjH/2ozAghrQn/u0kpOkGdoYV5WPQv8o0ki65c7DQtw8DV85J2Rh4675B35uijjy7vlMFMjRJdrDrRvqf51g/H0nkKmqGoI2+9iKBzMdNS4D1LbQJTZi0Ldf/DuEfX6DjaP+3gKJb53icC9J//8Z9l+T+rz7hqfGDDBbnNep1EgBUrVhTVmXpJeRu0uFbvnEh7792otAshboM+wWy3KAggMAiEhrefOaR9MTolqhW1zQi7XWrlbf826t81DoccckiZieHGG29sTj/99ObEE08sPn2keuk8dErUjPmOUDuxgN/hhx9e8njxi5IupPoU6QRrot7O/cbtf+YPAQn8azTOfHeoQsi/d2+cCvO25+ReKG7u46V0MzsV8tbpjzSOdaI+D9delY/Z7qNui/C1y2z7tbddyu/jcp3zxWgh7pNPoAHvtTM+jtxPHn744RLQxopQzduDXLc+SLtnakCJqEeFTIe4DfL0ss2CIqAyIQd8D4yI/E8xoH5wamY+VRHJ3L4z8WiMKXJGQoiM2QiYghbCF2xBb77j4NQADRnlUefLVOI3/krMPBoiZjCjQI2IbZiB5kuo6nl1is6tseJzx+zmmUgiLBCE4ke9qOpNx+WPzb+IGxyZpqX/QNh8IsSjXnQm6oPno94IMkDa1BuKLX9Fg5lJTGniPW0v/Z6V7SirlpTJRkB91k6pEwYyAju4mtx3332FsHkXOot2tvN3A2FqLnVN/WGuNqijXgtCGZUS4jYqT2KKr4PTp8g35AAxU3FEOjLPqTCKCsmxlK+CSoq08dVRmSgKw3RqXcpH0Tn6RNAOO+ywZq+99iomS8RNdCAskFf47L333gUv5K2X389s99R5Xv47CKFjG7nyexMsIp8esjzuxM2o27uEmFLYKJnwRFxHufDJQ9YqYUOm3QvTGtXZNFV8utrvgc6p8/mO8j3m2oLAXBAwoDV40TbedNNNzS233FJ8pGc7RiVtBqoGyNU8jbARDNQnA+NRrDshbrM93axfcAT4GRktIW38qI488sgiS7dPTA1BGNqlVqj62V43ad8RuDoPqlHkt7/97ZIqBaGCm1EmJYyPWi/fn7lggsQwm1rMpsB8jTAiBPfee8+M6vmPkjS40ww3l3Ms5bbeGdcuJYtRNYXR91EuOijkmdmc+cf11vlEdTTLZqKDu5VpqB/d7ju/TTYCBixUZoMXyjnfTgOxuRapnExPaJo3xaBVnanLXI+3GNuHuC0GyjnHvyFgtCPKh3n0kZkku9Sij370o8XUQ0nrLKNciTqvdSH+b3e+HOmPP/744gdnnkm+aHLACSpgFkK2jCKHpUIyH2jMKKOUT8Txve99z8wMC7sVMwKSNy6Fo7J3zn1Q2rxz8Oz2zo3KPYkqFCEqTYuOiamUqiYIR6djUDNufnmjgm2uY7QR6KUWc6WR4ubCCy8s1gB9iHoyl8JnjRlUPTJ4q2Uc2rMQt/q08rnoCFCGEDbKAR8jRIOZlBk05d8RqNI+cx5p3yKQgQomDxkz2vnnn1/MmNQkKTyYOwdNVfLvZ3zpF2rfdjPpJDwbWfcFTMg198pX/u9iWvT8nK9tnut1rKX+3TVKE1EVXISHXxssR6XUiFdRokgmNRXmlAXmnF122aWYyNWZTmfpXh3dqNxbriMIzAWBOmClrhk4chHR1pmirub6VE9qqdvXtrL+Xj/1MUyhLBPUahYe/8/XR7gef7E+Q9wWC+mc52UIqGA6nc6O52Ub5Z+XIVAbpfaPRo0S9VKQ+Hjo4Pl4GH3y/9PJ77zzzsXMrNGay2iykgDEjS+dxfOivjmfCcqZuc0CQQFCKka9IJiWUS3MoUgxsqZzYp4WKcpUrZMRiMNk3lYI63NyT93ekVG911xXEBgUAVMdsioI0tLG8WlrF++9etCNsBmcGaxpn7SXfNf4UPNfG6WAg/b9zPY9xG02hLI+CIw4AkyZVC/L4TOpPMzh+p3vfKc0bkwK/AdF3SJenX6C/W6tGwnYfffdGwtC8cMf/rBk5UfeELraQA47RUm/a5y0dQgxXD1DeDLlMId6fsw5TOCdpdtz6twm/weBcUMACdN+cW+QukdOSYPTbqUbYVMv1Bf+n5/85CdLoJV2iqJt3TjXmxC3bm9BfpsXAioGVUah8Ix6pN68bnbEdob3brvtVkaWTAnme9XgGaVKp0IZM8qkvs2HYDGbMjHIj/TIjH/JqaeeWogFnzFpXFIGR0BEq8hdkdXSGEj1wcQtpQd1jUpA9RznjmZwNLJlEHgJAeZRQQfyWPJnMwDtLOpEJ2lj9pQaiqrGGqAeqU/VujMJ/VGIW+ebkP9XCQHmHOYdAQe+q3R8rHTiy3pEu63SibJTTwQ0YBoyfm/8nwQp+F9DJvIUOWCGk+uOTxfixTF/Vfy7qunOiJYJAzEUtODcciBZJqGB7An2PFeoH3xz5JJjEuWfKD+hZ8KUQz3lm2hBsmupz7j+n88gMGkI8GX7zW9+U9oUUfPm2m2TszZZq78bhNYpzpA11gUKtfpjkGmfSSohbpP0NJfwXqguF1xwQUlXQEFABvjjqDjLQtwW5cl0Nk7UNxm/d9xxx2I2FZnIN4SDL1XUSFSeNg0dMjcXdVQeN8l4EQ37IeuUIg70GlqE0LPXmKa8HAGmHzghbWY8QHjVlU996lOFtHVLAlwJW+czfvmR818QGE8EtEcGMwYwl112WfPd7363JJXudjeVrNV11VWEOwE/UO0dhW2SS4jbJD/dBb43lc2iw5amwMJEuueeexafAh13ytIjIEqXimN57LHHmpNOOqk588wzm+uuu66oPEg3PxAjVI77g5AD21iYHw488MDSWD7wwAMlNF9kqwz+BxxwQIhbx+OXwBhZO+WUU4o6LX/cUUcdVXzYdDzdSJtDDPJMOk6Vf4PA2CAg+MDA/7zzzivJpVkIZivqhEEjv13uIYceemgZjPpt0kuI26Q/4QW4PxGLnKhlb6eu8MvR4VcnagrbuEbrLABcS37IdqcvGvFzn/tcaehEaMkDxyxBffP8RKgy0yFkg5g6HZu5tDrNM/sh8AiK98MxqK/TnuIFqZVzClnmcK1+SJgs+IDa5n/BCClBYBoQqAN+bc/PfvazMuOBdoOZVJ7CQUolbPxqtV/6nWkgbbAJcRvkDck2RcZWsWrCXMTtiSeeKNMG8Xei1tRkpoFrNBGo5jZEyqKhYyLl+IuMy8qPhPNNZAJlbmDy5Lc2SEE8vAtMF/y3kBQ+j0yqGtb5BEMMcv5R2gbWsrrz+5Q2Rb1homZipm7CBL46n5iTR+nJ5VoWGgHEjE+shNIG/r4PorDV65KDkaLPxcNgU30axmwx9fjj8BniNg5PaYmvUSeEqInw4Selk2fS0fHzoRKAoLOvqssSX25O3wOBqrxVAkdVO3wmfYjl17/+dbNixYriAyfJroZQROPHPvaxleRtNgUOMZMrScOKsFD0fBpdC5DwjjjubMfpcflj87PoXYMcvmvm35XCgOL4iU98otQXZG2aSOzYPLhc6IIioN2ROki0O1cB0aL82gYplLRqFtXnHHTQQcU6MG2ErWIV4laRyGdXBDhSM3lRZUja8ncx7XzmM58pChuVRcc86Z1xV3DG9MdK4NqXv/XWWzcWo+ATTjhh5YjYszW6FVovSrWf+obM77HHHsXfjb8KB2ORrKIlmU69N45F7ZvUAq+77767+BFSHLkQSIDMf60Gc6SuTOrTz331Q4CyJm2QekGRV1dmK8gaRdpMBzvssEMJPpA4V9T6tJI2mIW4zfbmTPl6+aOYQflGCbF+/vnni9qm8lSfnHREk/OS8LmimFGL5BUT4YXMyf8mYovp1Homv17Fe2GKLKQF6ae6ITNUJv5zk0jcmEXhRZWmtlUMEDZBIQJ1qG6pK73emvw+CQhUNb/ei2A1hA1Z44pBAOA+MUih0lP999prr0LcWAj8Jj3OtNejELdB3qAp3kYlsXCelhuss3RW1M71+X88EPAcFYQDubJ45nIgMZNLfomYSGHB1Ed9Q+iRuG6FWdSC4FNtb7rppsZ0TrZH4JA3/nDjXCiJouGkWEFO5chjJkXSqroIp86pwFJnxvmp59r7IVDVfH5sfDr5dwqA4mIjor1b4IF9avvj2AaFfGIp1NRqvtPTrK51wzvErRsq+W1gBGpFHXiHbDiSCLSfYyUWFFaLSC9mctPOWORs49/I/82IuEagdhsF83s0SmZi1ZDzo0N2NMp1RoCFBqTez7DOwy+n5mJDSKlsOiWmnC984QvlvvoFHLSxHtY15ThBYBQQoLBpH2699daSGoirBNVdfelVOkkbdf+www4rhK1Xepxex5qW30PcpuVJ5z6DwIAIdBILjae5/vivcSg++eSTi68jdQ6pqxPdVwLXPg1zKX9I+1LszjnnnBK0QMXj47LeeusVk2p7doD2/vP5jmDVET6Vb7XVVpvP4VbuK0no2WefXXLhcR3g/yeRMTLKF6cfaVt5kHwJAhOGwF//+tcyx25NKo2sCWRrE7Net6wt2WWXXUoOUFGilOqQtl5oxcetNzJTsKZWqM6OegpuPbe4CghIHSIyUhg+k+kvfvGL5gc/+EExoTNnIHDM6UyDlSQhTBQ35g8zalTzov8ffPDB0qhLQttpTlyFyyu7iFrjY0bdkxja+ZyrzuQwn3fdPZv8nYrgXpiTmYK32WabQt6YlXVAKUFgUhHo1mdIdUOJv+WWW0rdoLDx+ewste7VY1ivbdBuyExAadO2DKst6Dz/JP0fxW2SnuYs98LHSCXjHKpiUSSYskzIyx+JUkD5mJYkhrPAldUtBDS2Gl4KmgXZQuSkEUGQhPibcF60Fz82hIaaJrhFsa99+LZ5B81vKu2I/USY8WnxDtapt1qnntNX0avSbzBhUtuogMik66r3MOgB1Q+KokANiYVdN1LI7CvoQCfjHt1vWzGc63kGvZ5sFwSWGoFKvlwHNY1fp5Q3F110UVHhu+Vjs486YalFX6PeUKm5GKhP+qGo1RWh/p8hbv3xmZi1OjEjoYsvvrhE+VAmdKoqj9EO/ySEjVIS4jYxj31oN1Ib7Nr4ipA01ZUF+eKALGJMBJltkBr5lpg9KF6UN+RGYIOgBDneJPtlLjWIYH40k4Dt5/P+6Uz414iGFQnN5OLTyH4uhdkHURMNy8Tr3pbN+PUdcsghJeknVaDXdVas5nK+bBsExgkBdcMAyQBM/de3mBGkW6lthnX6F20AlXrbbbctapvBz7TPrNINt36/hbj1Q2cC1ukYRbyZWkTnIyRbR2ki3iOOOKIoHW6TuoC8dXMwnwAYcgtDQqAbKWHqsCBiZ5xxRnFKFk1mcOCdQ+KsR+AUxM0omxomWlWD7z1l1mw38qtyycgURUxErFE83zOfvUhWt3O4Dh3SN7/5zaK2yW/3la98pdQVJJAqmBIEphGBR2bmNUbUmEUp5uo3t4FBCl/QffbZp6THqS4V4x5ZPsh9L8Q2IW4LgeoIHFNnqJIx7TCNUjSYi0xoXZWI9iTwFJGUIDAXBJCsNpGTHuSYY44pkabVFMovjP8L4sYsIqcZU6tG3Cjbdj/96U9LJJpoNL/xHWPCH/SddB3eb+85c63jL1++vKh3RveDkDZuBPY3BY/BDcdq1yKowrEs8b2Zy9uRbScJAUE4VDZpPUSYU6K5ERjwt4v2oD348r+p3Qye5IHkx0Zhiy9oG7W5f09vPXfMRn4PigH1Q5oCFax2lHyMmKLaikGtZO0OeORvMBc4EgjUd6b9DtX8bT6Z4o3Opf/gc+a99C7yZ0OKDCCQPQMMhIt58qqrriqpNeRBc4xBy0MPPbRyXzmfqHmCBWqQRL/jCGTgx+YY1bHaXK2uQZ3hTuBYKUFgmhCogyER4EjbAw88UIIPqOnSftTSJmu1LTBYUv+RtpqLjcqmHg0ykKrHzmd3BELcuuMyVr8yMxn5cAzV+VHZVC6dJcdvDuEqkE6oU5qune9Y3XAudqQQaL9DGm7/C06wMKPwNxPEwM+SD5yOADFC3ChvfCy9pxdeeGEZ0Rt0IF/80gaZ/9ZxkT9qmXxqy2Z80Zhl1YvakXQCVgMPbE8V5HPHtMvP7vCZuVtdn2O0763zGPk/CEwSAuoL5Vk/YrClzpo1xeCfGt02iaoXtW7Vz4qFwdL73ve+4sdWc0FS2VKGh0CI2/CwXLIjGRnxNaBu8GUzOtJ5HXnkkcWXyMin+rClI1qyxzQVJ+58vzTizIxInOS7P/7xjwvJ0pAzmzKdbL/99itTiOggKGAUOaYYxM5IvZtpRUeDtOlkEDf7+k0utV133bXMYNArSu2JJ55ovv3tb5frYaLlE+dcckcJaOi131Q8xNzk1CGArKl3BjDnnXdeGQTxheauoE61FTbgdJI1v1HSqORUdHV6zz33LN+tSxkuAiFuw8VzSY6mk6Gm8cFh3lEJmUN1YEibMqi/0JLcQE46sQgIdvF+Il/7779/8XVjlqSOUd+M4pkiETl+MCJRracWm0pKcAEyxT+zs+g8DEh0LDWtjchVBMzSjXxJXUKRlkPOfhQ2ijT/Ox2OAQ/SmBIEpgEBdYjqLHJaZLg6p34YECn1s2JRB2Zt4mZQJZWH+mMwRmVT3+fi6lCPn8/BEAhxGwynkdxK5VGRmD91fpZupW7XbV1+CwKLgQDlrb6jRuNULY7OzJOS2lK8DDw0/Bp8qQYoyYIE7rrrrkLwEKy26dR7TQnwibDxn0O6HKtN2pyDmsBEy08HabOfzoX/jWCIzrqTOrMYb0XOsZQIULSr35o0Uchbu+hb1IN2af+vrhlQEQiQNYMl3zvrUnv/fB8OAiFuw8FxSY5SRz+znXzQ7WY7TtYHgWEgoPHfbbfdSpQZ8nbqqaeWwAC+bsyqCBozC+UYcWNi5Wez3Xbblc6hqseCHRAyrgF8O5lqELv2hNTUAz5zole5E0jQaz3TLeLmmN3qR7ffhnHvOUYQWEoE1Bl+bOqLGUDMfsK9huqm/rRNom2S1r5mdQM5Q9ak+rFQyzv9p9v75PtwEQhxGy6eOVoQCAKzIFBJERPo7rvvXsyVyBXfmi9/+cuFWG255ZZFgeO3SXFbNmPCZHaVo41JRqEY/PCHPyyZ26l1knpyFTDyVyh5X//61wthY86R/sbUXDUxcJvglR3yJwhMKAJMnnw5uSFIv8MsyjeUu4BSlevZbl/QAVWca4G6xsWhrYLPtn/WDweBELfh4JijBIEgsAoIaPQt0gSIMt1pp52KQmaKKX5w1AG52Jg+RUrrbBCuGpQg5xoCRwFgfqXWmYaHskZtEx3K9MqEo6OhtCGBVbVzyZSFSiZX4RaySxAYaQQEGVDVkDXBB1wF1I9Bi3rJpcDAqNYx9ZUf9SDpdgY9T7YbHIEQt8GxWtQtjYREyZn1QDJdFcbopj0n4qJeUE4WBBYQAWYW+d0szDhMOEiZOqCTQc6Yc9QFAQamtqqFmsakqlOSD646VCNxH/vYxwp548fWDjqoZiCELaStIpnPSUJA4A/FWhCQJNhSe7QJm/e+1oNe903hlvvz4x//eJltp9t2Gfh0Q2VhfwtxW1h8Bz46oqbDoTCocByzOWjLbcXXRwfEETTEbWBIs+GYImA0b05Q7/w3vvGN5mtf+1qZGqvX7agvpuCxUO/M0sD/Rodjuiom2c4SstaJSP6fFAQQKf0I0nbSSSeVaej4tnWWfqRNP0Pp5pZQI68796//py5VJBbvM8Rt8bDueybKAudp4dgqHHOPaDgdEfOOShTnz74QZuWEIfDss8+WQUy/DqbzliXNrX44kk5noNOJUP6fdAQoa9/5znfKwJ/CVv3YBrlv6jX3gvXXX39l4AG1mnqdMjoIhLiNwLMwGhI1R13jl6PSmASe8oCs8SWQJyed0Ag8rFzCoiEgGKEuczmpOiN/oUGP/VOCwKQjoA+pMx0wjfJp49s2SNG/CAbadttti/+nwY9ZS+q0calHg6C4uNuEuC0u3ivPJnHok08+WRyx+bFR3BAzFYiDtkrUrcSfoBsq+W0SETD6XzYTSCBNiMAEsx2oN/2KHG5cCizIWzsIod9+WRcExhEBvp+CDaT2+PnPf1582SjVgxSErSa+Ft2t30mwwSDILf02IW6L/AzI1sKyJQO99dZbm7PPPrt0SpKSfulLXyph1v0uKf4E/dDJuklCAHHjX0MBEKhwxRVXFDcCPm01lYc0BraTfJeJR5qCLbbYoswkkroySW9D7qUiYPBuMb/vBRdc0Jx44oklzUdd3+9TnaBC8/s03dzBBx9cPv2f+tIPudFaF+K2SM+jBh+obJdccklz1llnlcg4lefYY48tTqDJOL1IDyOnGQsEqGVyr3ETQMj22WefokxLCSKKlHlI1BvSZju+oMw7TDvphMbiEeciVwEB0dWCDs4999zmkZk5ersFHvQ6rEGOeiTwRwS3+mJglDJeCIS4LdLz0pHITM18wxxKpjZqErXDibqdqmCRLimnCQIjj4B6o7ORYJcZ1Jy8TEEWahvTDhcDnU/q0Mg/zlzgPBAwQ8h1111X8htK7/HQQw8NfDQETR5DAyD52Lgf8GNLGU8EQtwW6bnpgCgIiJsKZEkJAkFgcASYeAQeWHREKUFg0hFgqZEaypyichuaDcTsBwb9sxWDGgMeSrT0ONxxqGzMovFlmw290V4f4jbazydXFwSCQBAIAlOIABOooBxuNUgbFwEJqGcjbUQCKjRLjsS5TKMSuIesTc5LFOI2Oc8ydxIEgkAQCAITgICgA/Pw3n777cUXWnL22SKq622b8P2ggw4qJtFlM1HZ3HJC2io6k/EZ4jaE56hC8bdhykkFGQKgOUQQCAJBYMoQeP7558u0bb/61a9KWg+R1GZAGKRQ2czHy4fNbCGC3iTOTZlMBELc5vFcjYLkXzPTgfkVVRSjnTh9zgPU7BoEgkAQmBIEpLYRaCNK+qabbipJ2BE30xwOUphEBe0gbbvuumuzfPnykhZHZHXK5CIQ4jaHZ0tVMwIyFZUKJ/mhbNWnnHJKifDZf//9mzXXXDPEbQ6YZtMgEASCwLQhoA956qmnGpGil112WbNixYqSSNfv+plBikA3idr33XffEnyg70lqj0GQG/9tQtzm8Aypa1dddVVxGKWwqWD8Bw444IBmnXXWKdE7ck6lBIEgEASCQBBoI8ClhrImjYfk61dffXWx1phPtJ8PGzNoOyBBVCiRYI899ijTI1LcELZM79ZGe7K/h7gN8HyNjMx0QF3jNGoC+A033LDZeeedi0QtY7vKQ7ZWyVKCQBAIAkEgCLQRkA7qnnvuKX3ILbfc0tx///09fdhqP4KwVdJGUdtoo43K5O8f/ehHS0opfU7K9CEQ4tbjmRsdcRalrCFqRkmyVFPYkDT+BPvtt1+SfvbALz8HgSAQBKYdAVYZ5s+nn366MSf1pZdeWkyjjz76aF9oKlmzkdlBzKqz4447NnvvvXcRDahumYe3L4QTvTLErcfjlTOHsyjSRsZ+/etf32y11VbNcccd17z97W/vsVd+DgJBIAgEgWlHQA42A39THIoONc3hb37zmyIE8I8etKy11lqFsG233XbNBz/4wRIAl8CDQdGb3O1C3FrP1ijHCMkk8Ndff31z6qmnFuJmihDqmul2jHRSgkAQCAJBIAh0IiBgjQn0d7/7XUntwZcNeaO6EQDMhDBb4aumr9l8881LlgIpPtZff/0iHsy2b9ZPBwIhbl2eM2laePWhhx7aPPPMMyXwwFQhJrN+1ate1WWP/BQEgkAQCALTjIAgA1Ya01LdcMMNZdCPsA1aTE/Fd22LLbYoyhqfNm456XcGRXB6tgtxaz1rDqH8BkTofOhDHypLa3W+BoEgEASCQBBYiQBfaHOJ8oGmsglgk3nAb7V0RoXW3+vnK1/5ykLQkLajjz66uOTUde1PFqEatND+Pd+nD4EQt+l75rnjIBAEgkAQmCcCTz75ZMnDdttttxUftmuuuaaYQzsP2w406FwnKpTv9E477dRssskmzdprr925ycr/Q9pWQjH1X0Lcpv4VCABBIAgEgSAwCAL81B5++OHm3nvvLUEHZjng0yZlVGfi3H5KG19pPmybbrppmaZK4MEaa6yRSNFBHkK2aaaGuBn1kLVVJtJ0Ri95+4NAEAgCQWBQBESKImlSelx++eXNfffd1zzxxBMv2732K/qbttLGb5oP2wYbbFDSeay33nrFj03Cdn5sshakBIFBEZho4lZDskWJSqArl45K8p73vKc4fA4KUrYLAkEgCASB6URA+g79x1133dVInGuKKvNT19KLrIkOlbpD+ihEjarGj80k8N1ysCF69Vj12PkMAt0QmGjiJmEu/wPLtddeW6YbUXE+//nPh7h1exvyWxAIAkEgCBQEmEUN9plGL7744ubMM88skaKd8LSVtbqO75ppEJG1zTbbrMwpSm3rl5UgpK2il8/ZEJhI4ibxoczUkh6aokrlE2KNsMmPs+66686GS9YHgSAQBILAFCNg1pyTTz65Oe+880oQQmdqD0Srk7S9+tWvbt72treVdFJm19lhhx3KrAd+DzGb4pdpyLc+McRN4kOzHZjp4O67725MCK+i1IojvYcRj1QfqUBDfotyuCAQBILAhCBQJ4G/8cYbmyuuuKL4stVbq30HwtYmbfym3/CGNxSFzSwHgg7kAs0sOxW5fA4TgYkgbiRtZE0l4zxqpPS6172uTAJ/yCGHNP/1X/81TMxyrCAQBIJAEJgQBMxm8OyzzzbSezz44IOlHxGAgMB1ljZZq+v4sREFNt5445LaY/ny5UVlq+vzGQSGjcBYEzfh1xxH//SnPxU/NtNUveY1r2mOOuqoZq+99irfhw1YjhcEgkAQCALjjwASxq3m8ccfLzMdnH766c2VV175MiVttrtkAhXsdthhhzUHHnhgs/rqq8+2S9YHgXkjMHbETWVD2IyQbr/99uacc84pET7veMc7mn322aeEWpvXDYFLCQJBIAgEgelGoJtKBhG/r1ixojnllFPKwF/2gV7bdkNwww03bPbff/8SJarPectb3tJts/wWBIaOwNgRNwjwM1httdVKag/Zps3pJuBgyy23LD4F/SJ3ho5gDhgEgkAQCAJjg4A5RVlnLL/85S9Lig85PmvRv/QicHyk3/nOd5Ygt2222ab4UCNtKUFgMREYO+KmUnEE5cNm4ndLShAIAkEgCASBikAlXvoK5sxaBK0xh5500kmN4INupe5b1zkGNQ1he9/73tcgbB/+8IcbyXMRuZQgsNgIjB1xW2yAcr4gEASCQBAYLwRq9KdEt9xmkDEBByeeeGJzxx13NFS32YoEuvYXGbrnnnsWP7aNNtqoWHwcr55jtuNkfRAYNgIjQdw6Rzhukh+baB+Vx5JKMuxHn+MFgSAQBCYPAX2FBLhcZh6ZScJ+2mmnNaac4hN90003NVJHDVLkY0PYTAAvtcdaa621sh9KfzQIgtlmoRBYMuJWyRoZWiVTXnjhhZLoUMLcF198sfixGe2oMPFbW6hXIMcNAkEgCEwOAvoW/Ye0UM8991zz+9//vogAVLZO0oaA1b6oIsAkynfajAcf+chHSm622kfVbfIZBJYSgaETNxWhLv1urCppcrCpUCJ65M258847S4g2vwR+BXKwdVasfsfNuiAQBIJAEJg8BGqfUfsXn90KSw3CZpmttPsWx+e3JpXUoYceWgibILiUIDBqCAyduNUbbFeI+lv9VOEoaNQ2sx3wPVhjjTXKqMg27373u0syQ0pbShAIAkEgCASBfn3KfNF561vf2my//fZFYePHJlI0pG2+qGb/hUJgqMRNxTLKoZ7Js9YOsW7fgBERKfuJJ54o2aqFZb/5zW9uNt9885LSQ8ToY4891vzlL38pu/U6TvuY+R4EgkAQCAKTh4AAAYN8Zk4z5Pz2t78t1plBFLXZ0Fh77bXL9FRMo/ofyXRZeZwvJQiMKgJDJW4Im0p13XXX9a1YiJuM1cjbP//5zxKIYPYDAQkqJ+LGhBrCNqqvTa4rCASBILA4CFQTqUneTUtlwM+9Rh8ySGHhaat1+hfBBhLomsNaSqlly5aVvKDxpR4E0Wyz1Ai8YuaF/n/zvQiE65lnnmluvvnmkh/noosumu8hs38QCAJBIAgEgaEigLRttdVWzeGHH17msn7jG9841OPnYEFgoRGYGYi8YiiKG5OmyXnvueeeoph1jnAW+kZy/CAQBIJAEAgCvRBgbt1iiy3KTAfMotS2kLZeaOX3UUdgKMSNE+drX/vakugwpG3UH3muLwgEgSAwHQhIvrvOOusUc+jy5cubbbfdtjGvdUyi0/H8J/Uuh0LcOHO+613vap566qkSEXrfffcVP4RJBS33FQSCQBAIAqONwJve9KaSnWCXXXYpapv5rFdfffXRvuhcXRAYAIGhEDcyNNmZw6eQahE5999/f4kM5UTKB646mNqWQiehoVxtvteoIdc7BJe7AW47mwSBIBAEgsA4IMCKo+hH/vGPf5RFUJsANovfBbzpO2xLSJBKaoMNNihJdHfYYYeistV7rdvV//MZBMYNgaEEJ9SbViFUItE/In8effTR5s9//nP5LgLIhLwSHK655pplkWAXeVPpLClBIAgEgSAQBDoRaLvgIG9mRZADtPYv0k8JPDDTTl3kBmUqTQkCk4TATF14xVCJWxscREy6jzpCktqDsmbOOEt8DNpo5XsQCAJBIAjMBQFTJNY+pt2/VGvOXI6VbYPAuCCwoMRtXEDIdQaBIBAEgkAQCAJBYBwQQNz+1zhcaK4xCASBIBAEgkAQCAJBoGlC3PIWBIEgEASCQBAIAkFgTBAIcRuTB5XLDAJBIAgEgSAQBIJAiFvegSAQBIJAEAgCQSAIjAkCIW5j8qBymUEgCASBIBAEgkAQCHHLOxAEgkAQCAJBIAgEgTFBIMRtTB5ULjMIBIEgEASCQBAIAiFueQeCQBAIAkEgCASBIDAmCIS4jcmDymUGgSAQBIJAEAgCQSDELe9AEAgCQSAIBIEgEATGBIEQtzF5ULnMIBAEgkAQCAJBIAiEuOUdCAJBIAgEgSAQBILAmCAQ4jYmDyqXGQSCQBAIAkEgCASBIBAEgkAQCAJBIAgEgSAwJgj8f/XuPnpk/UURAAAAAElFTkSuQmCC\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eGiven the dimensions of the rectangular parallelepiped (length, width and height), calculate the volume of the embedded octahedron. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003ePlease output the integer part of the volume in modulo 1000003.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function v = volOcta(l,w,h)\r\n  y = x;\r\nend","test_suite":"%%\r\nl = 1234; w = 4567; h = 8910;\r\ny_correct = 956726;\r\nassert(isequal(volOcta(l,w,h),y_correct))\r\n%%\r\nl = 100000; w = 200000; h = 300000;\r\ny_correct = 9000;\r\nassert(isequal(volOcta(l,w,h),y_correct))\r\n%%\r\nls = 12:12:1440; ws = ls + 23; hs = ls .* 23;\r\ny_correct = 59634083;\r\nassert(isequal(sum(arrayfun(@(i) volOcta(ls(i),ws(i),hs(i)),1:length(ls))),y_correct))\r\n%%\r\nl = 12345678900; w = 353535353535; h = 12345678900;\r\ny_correct = 262344;\r\nassert(isequal(volOcta(l,w,h),y_correct))\r\n%%\r\nl = 14141414141414; w = 15151515151515; h = 16161616161616;\r\ny_correct = 541360;\r\nassert(isequal(volOcta(l,w,h),y_correct))\r\n%%\r\nfiletext = fileread('volOcta.m');\r\nnot_allowed = contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":10,"test_suite_updated_at":"2021-09-11T14:45:58.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-09T20:56:03.000Z","updated_at":"2025-12-22T16:21:58.000Z","published_at":"2021-09-09T20:56:03.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn octahedron (not regular) is formed by joining the centers of the faces of a rectangular parallelepiped (see below figure).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                       \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"166\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"311\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"middle\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven the dimensions of the rectangular parallelepiped (length, width and height), calculate the volume of the embedded octahedron. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ePlease output the integer part of the volume in modulo 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Sequences 13: Average Speed of Spaceship","description":"A certain alien spaceship is capable of traveling at extremely high velocities and is able to change speed instantaneously. The ship travels from two points 's' km apart, at a speed of 'v' km/hr. After reaching its destination the spaceship immediately heads back to its starting point at the speed of 'v-1' km.hr. After reaching the starting point it again goes back at a speed of 'v-2'. This \"back and forth' continues, reducing the ship's speed by 1 km/hr in each turn around. \r\nGiven an integer initial velocity, find the average speed of the spaceship througout its entire journey, until it finally stops. Please round-off your answer to the nearest integer.\r\nNOTE: Use clasical physics only. Ignore any relativistic effects.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440000534057617px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 165px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; 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; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eA certain alien spaceship is capable of traveling at extremely high velocities and is able to change speed instantaneously. The ship travels from two points 's' km apart, at a speed of 'v' km/hr. After reaching its destination the spaceship immediately heads back to its starting point at the speed of 'v-1' km.hr. After reaching the starting point it again goes back at a speed of 'v-2'. This \"back and forth' continues, reducing the ship's speed by 1 km/hr in each turn around.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eGiven an integer initial velocity, find the average speed of the spaceship througout its entire journey, until it finally stops.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e Please round-off your answer to the nearest integer.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eNOTE: Use clasical physics only. Ignore any relativistic effects.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = mean_velocity(s,v)\r\n  y = x;\r\nend","test_suite":"%%\r\ns = 10000;\r\nv = 10000;\r\nv_correct = 1022;\r\nassert(isequal(mean_velocity(s,v),v_correct))\r\n%%\r\ns = 1234567;\r\nv = 1234567;\r\nv_correct = 84539;\r\nassert(isequal(mean_velocity(s,v),v_correct))\r\n%%\r\ns = '1234567891011121314151617181920';\r\nv = 123456789;\r\nv_correct = 6427156;\r\nassert(isequal(mean_velocity(s,v),v_correct))\r\n%%\r\ns = 1e100;\r\nvs = 1:1000;\r\nv_correct = 72076;\r\nassert(isequal(sum(arrayfun(@(v) mean_velocity(s,v),vs)),v_correct))\r\n%%\r\ns = intmax;\r\nv = double(intmax);\r\nv_correct = 97326319;\r\nassert(isequal(mean_velocity(s,v),v_correct))\r\n%%\r\ns = intmax('int64')/100;\r\nv = double(intmax('int64'))/100;\r\nv_correct = 2326765408587627;\r\nassert(isequal(mean_velocity(s,v),v_correct))","published":true,"deleted":false,"likes_count":2,"comments_count":4,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":17,"test_suite_updated_at":"2021-09-05T14:22:29.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-05T08:20:36.000Z","updated_at":"2025-12-22T16:16:27.000Z","published_at":"2021-09-05T08:20:36.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA certain alien spaceship is capable of traveling at extremely high velocities and is able to change speed instantaneously. The ship travels from two points 's' km apart, at a speed of 'v' km/hr. After reaching its destination the spaceship immediately heads back to its starting point at the speed of 'v-1' km.hr. After reaching the starting point it again goes back at a speed of 'v-2'. This \\\"back and forth' continues, reducing the ship's speed by 1 km/hr in each turn around.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven an integer initial velocity, find the average speed of the spaceship througout its entire journey, until it finally stops.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e Please round-off your answer to the nearest integer.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eNOTE: Use clasical physics only. Ignore any relativistic effects.\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":52689,"title":"Easy Sequences 18: Set Bits of Triple Summations","description":"The function S(n) is defined by the following triple summations:\r\n                            \r\nThe double brackets mean that the output of the triple summations is being rounded-off to the nearest integer. Write the function 'bitS(n)', which is the number of bits set in the binary representation of S(n).","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440000534057617px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 127px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eThe function S(n) is defined by the following triple summations:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 46px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e      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\" width=\"186\" height=\"46\" style=\"width: 186px; height: 46px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eThe double brackets mean that the output of the triple summations is being rounded-off to the nearest integer. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eWrite the function 'bitS(n)', which is the number of \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.quora.com/What-do-we-mean-by-a-set-bit\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ebits set\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e in the binary representation of S(n).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = bitS(n)\r\n  y = x;\r\nend","test_suite":"%%\r\nn = 100;\r\ny_correct = 7;\r\nassert(isequal(bitS(n),y_correct))\r\n%%\r\nn = 10000;\r\ny_correct = 17;\r\nassert(isequal(bitS(n),y_correct))\r\n%%\r\nn = 1000000;\r\ny_correct = 19;\r\nassert(isequal(bitS(n),y_correct))\r\n%%\r\nn = 100000000;\r\ny_correct = 25;\r\nassert(isequal(bitS(n),y_correct))\r\n%%\r\nn = 12345678910;\r\ny_correct = 30;\r\nassert(isequal(bitS(n),y_correct))\r\n%%\r\nns = 1000:2000;\r\ny = sum(arrayfun(@(n) bitS(n),ns))\r\ny_correct = 10663;\r\nassert(isequal(y,y_correct))\r\n%%\r\nn = intmax-123;\r\ny_correct = 33;\r\nassert(isequal(bitS(n),y_correct))\r\n%%\r\nn = intmax('int64')-123456;\r\ny_correct = 74;\r\nassert(isequal(bitS(n),y_correct))","published":true,"deleted":false,"likes_count":2,"comments_count":5,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":8,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-12T09:14:05.000Z","updated_at":"2025-12-22T16:36:34.000Z","published_at":"2021-09-12T10:34:16.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe function S(n) is defined by the following triple summations:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eS(n)=\\\\left [\\\\sum_{k=2}^{n}\\\\sum_{j=2}^{k} \\\\sum_{i=2}^{j}\\\\frac{1}{\\\\log {_{i}}{\\\\left ( j! \\\\right )}}  \\\\right ]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe double brackets mean that the output of the triple summations is being rounded-off to the nearest integer. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eWrite the function 'bitS(n)', which is the number of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.quora.com/What-do-we-mean-by-a-set-bit\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ebits set\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e in the binary representation of S(n).\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":52809,"title":"Easy Sequences 28: Sum of Radicals of Integers","description":"The radical of a positive integer  is defined as the product of the distinct prime numbers dividing . For example, the distinct prime factors of  is , therefore the radical of  is . Similarly, the radicals of ,  and  are ,  and , respectively, The numberis considered to be the radical of itself.\r\nGiven a limit , find the sum of the radicals of all positive integers . \r\nFor , the radicals are: . Therefore, the output should be '41'.","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: 123px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 61.5px; transform-origin: 407px 61.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 14.5px 8px; transform-origin: 14.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Radical_of_an_integer\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eradical of a positive integer\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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \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: 201px 8px; transform-origin: 201px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is defined as the product of the distinct prime numbers dividing \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: 59px 8px; transform-origin: 59px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. For example, the distinct prime factors of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 25.5px; height: 18px;\" width=\"25.5\" 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: 9px 8px; transform-origin: 9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 35.5px; height: 18.5px;\" width=\"35.5\" 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: 78px 8px; transform-origin: 78px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, therefore the radical of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 25.5px; height: 18px;\" width=\"25.5\" 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: 9px 8px; transform-origin: 9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAABJUlEQVRYhe2WbRGEIBCGnw42oIAFTGACG9jABlYwgxHocBXMYAXvh3ByzqGwfowzxzvDD5nd5WGXFSApKelZUkAm8CnMOBWkAyYgD/SpgAHogcb4j0BN/KY+yhwQO0KArE+7mq/NvJZAlcw7K4FXBJBddPAsqj2wUWoCgTLmsmwtWAXGOgWoduxKj41ybMRZCgVyS6s27GwWh6uBrM24E08TBn4IKBcC+Up7GKgQAtV3APUR8W4B0jvx2ruBHlEyhECin2Mo0BAJNHJh28P3RRySyZcEJgbIPUeVx8b9X4nOTwwQLOXwdZrtMN9r4HQgxXJXrW3d14D4BalYDutk4PaUm4VHB0qxXL6i60Ixp1f/GB379c+MTW98evMt6qqkpKSkv9UbptKi8sNv99EAAAAASUVORK5CYII=\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 80px 8px; transform-origin: 80px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Similarly, the radicals of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAAA6klEQVRYhe2VWxGDMBBFj4c4wAAGogAFdRAHOMACGpCAByxUQy20Hwl0y0BLk5ZlhtyZ/UgmXM5uHgtZWVnHUgGYhO8NYBM9JpAWuANlgs+Q6mEEyBixZnWqRxVMKp6ZxZpZfpPUpJTsDHADuqMAdUDPa5XUgBxwxV8KdaASv1U2jNWBBqARY1WgJgDJB1ANyOK3ar5OBWi84m4FdHegLsSSdgdy+OpU4efzcMLjIuajGu0WoF6s+SaiqrUFqAlQayH74SDmi38BfZL6w3geoALfIEezWguoYP2gtiw/fu9UkniQs7Kysk6pB0ucjplAUbTSAAAAAElFTkSuQmCC\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADMAAAAkCAYAAAAkcgIJAAABq0lEQVRYhe2XXZWEMAxGrwcc1AAGUIACHIyDcTAW0IAEPGABDViYfaA5W5gG+rdnH6bfOXkYpgm5pUkAqqqqqr5RBmgifTprbaRf6/iebbS5JMnYAO/ApBpnvWsb8Aj03zz+YnNc+npSdzDmJpE38LqJ8bzx72JBehu0B5YImBlYgcG51vK5Kb3iL08l5Akmyd2pK5jeJqKtceNMypqHjZFcE3cKhZm43tHGibMpa1b2k9AR32yCFAoT0mVmdJiBz/pY7PViYKEwIRIYX0da0Yt+I6HwfSoJIwlrx7Fjr70XfjitcQSrFIyxMVbCC3zg2Oo3Mo9cKRiJE9t2G47j4ZmRQxEYmR9J05vjME6NAZSBmdh3N+eIyODV2nqQcmEe7HWS2zx6/hlmoAwI7J1OGkiyUmFKgsDvkxlzgqTA9NyDtMS9g0nNZM2aWJiW+4kt7dY4vzt0OJlRWZ0M4mAEZLF+mq2nxNzB+OTY9QR8Cbj/pQzH14qrgSUgVx9W2qvJfPpvtfd62ZgjGW3d2ECzx0b8U3xS1vts8iQ3nGKMFujPvm2qqqqqqqq+Uj8xKNuJDs64CAAAAABJRU5ErkJggg==\" style=\"width: 25.5px; height: 18px;\" width=\"25.5\" 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: 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,iVBORw0KGgoAAAANSUhEUgAAAEIAAAAkCAYAAAA9+eyvAAAB4ElEQVRoge2YbZGEMAyGHw84wMAaQAEK1gEOcICF1YAEPGDhNGDh7kebocvwkZDu3N1Mn5n+2e3bkJeQFqBQKBQKhU9RA5VR8wCaqPVQxXWs8b3aN2rgBXwTEtMEfgFL1Mj4ihd0h9kQP6cWWBNKk7larIqBF2AAemDcrGE1ozfEz6kFoI2LtKyOahabCOZty/DBWiGT4ToabDcil3YXrasN4e4fIdW1KONWcW5aUdpkPNpDtEa0nDdFWWdWxh0J1ZPeWW0yHu0h7ucsIhXRKeZ2hOZaY0/Goz0lhxFSqhPX25j0E2mqlmQ82ku8RshOMqLby2fCjiNYkvFoL7lrRAU8eT9PTJz3kYGQTGqYNhmPVsUdI2QHmRKtjIV9M5r43zaGJhmPVk2OHrGtjO02Kz1kr5FeJePRmsi1a9SsZiy8l/DI8RnkKhmP1kQuIyA8x9u1OoIxLeHCt6NLNM/k98qpNZPTiL07tNdHNOPh1Jr5hBHpMXsgJHQ00nedOfm9dmrN5DTiGdcZriYmeJ7zP9sjJsLx9+5b5L8wQhrh0QcYeddojfH/hBE1ITFZrD+Zu/2IM8X5PesR+87F/KoRZ43oxf7hRbazdO4Qf/N8s5Td4U6T82gLhUKhUCgUClp+ANDXK1nbeFY7AAAAAElFTkSuQmCC\" style=\"width: 33px; height: 18px;\" width=\"33\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 14.5px 8px; transform-origin: 14.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAAA6klEQVRYhe2VWxGDMBBFj4c4wAAGogAFdRAHOMACGpCAByxUQy20Hwl0y0BLk5ZlhtyZ/UgmXM5uHgtZWVnHUgGYhO8NYBM9JpAWuANlgs+Q6mEEyBixZnWqRxVMKp6ZxZpZfpPUpJTsDHADuqMAdUDPa5XUgBxwxV8KdaASv1U2jNWBBqARY1WgJgDJB1ANyOK3ar5OBWi84m4FdHegLsSSdgdy+OpU4efzcMLjIuajGu0WoF6s+SaiqrUFqAlQayH74SDmi38BfZL6w3geoALfIEezWguoYP2gtiw/fu9UkniQs7Kysk6pB0ucjplAUbTSAAAAAElFTkSuQmCC\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e5\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-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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\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 83.5px 8px; transform-origin: 83.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, respectively, The number\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e1\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 121.5px 8px; transform-origin: 121.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eis considered to be the radical of itself.\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: 45.5px 8px; transform-origin: 45.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eGiven a limit \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: 182.5px 8px; transform-origin: 182.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, find the sum of the radicals of all positive integers \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 25px; height: 18px;\" width=\"25\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 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: 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: 13px 8px; transform-origin: 13px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 44px; height: 18px;\" width=\"44\" 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: 57px 8px; transform-origin: 57px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the radicals are: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 152.5px; height: 18.5px;\" width=\"152.5\" 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: 39.5px 8px; transform-origin: 39.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Therefore, \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: 67px 8px; transform-origin: 67px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"text-decoration: underline; text-decoration-line: underline; \"\u003ethe output should be \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: 11px 8px; transform-origin: 11px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003e'41'\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: 2px 8px; transform-origin: 2px 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 s = sumRadicals(n)\r\n    s = 41;\r\nend","test_suite":"%%\r\nn = 10;\r\ns_correct = 41;\r\nassert(isequal(sumRadicals(n),s_correct))\r\n%%\r\nn = 100;\r\ns_correct = 3512;\r\nassert(isequal(sumRadicals(n),s_correct))\r\n%%\r\nn = 1000;\r\ns_correct = 351964;\r\nassert(isequal(sumRadicals(n),s_correct))\r\n%%\r\nns = 1000:5000;\r\nss = arrayfun(@(n) sumRadicals(n),ns);\r\nss_correct = [14572533416 1407530 2206262 3168720 4321316 5635156 7128944 8813000 2478567];\r\nassert(isequal([sum(ss) ss(1000:500:4000) floor(std(ss))],ss_correct))\r\n%%\r\nn = 10000;\r\ns_correct = 35252550;\r\nassert(isequal(sumRadicals(n),s_correct))\r\n%%\r\nn = 100000;\r\ns_correct = 3522204030;\r\nassert(isequal(sumRadicals(n),s_correct))\r\n%%\r\nn = 1000000;\r\ns_correct = 352218412502;\r\nassert(isequal(sumRadicals(n),s_correct))\r\n%%\r\nfiletext = fileread('sumRadicals.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":10,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-27T09:04:12.000Z","updated_at":"2025-12-22T17:26:46.000Z","published_at":"2021-09-27T10:53:42.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Radical_of_an_integer\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eradical of a positive integer\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is defined as the product of the distinct prime numbers dividing \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. For example, the distinct prime factors of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e100\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e[2\\\\ 5]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, therefore the radical of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e100\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e10\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Similarly, the radicals of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e14\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e125\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e1344\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e are \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e14\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e42\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, respectively, The number\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eis considered to be the radical of itself.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven a limit \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, find the sum of the radicals of all positive integers \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\leq n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en = 10\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the radicals are: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e[1, 2, 3, 2, 5, 6, 7, 2, 3, 10]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Therefore, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ethe output should be \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e'41'\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\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":52814,"title":"Easy Sequences 27: Product of Radicals of Integers","description":"The radical of a positive integer  is defined as the product of the distinct prime numbers dividing . For example, the distinct prime factors of  is , therefore the radical of  is . Similarly, the radicals of ,  and  are ,  and , respectively, The numberis considered to be the radical of itself.\r\nGiven a limit , find the product of the radicals of all positive integers . Since, the radical product can get huge fast, please output only the number of digits of the product.\r\nFor , the radicals are: , their product is . Therefore, the output should be '6' digits","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: 144px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 72px; transform-origin: 407px 72px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 14.5px 8px; transform-origin: 14.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Radical_of_an_integer\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eradical of a positive integer\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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \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: 201px 8px; transform-origin: 201px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is defined as the product of the distinct prime numbers dividing \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: 59px 8px; transform-origin: 59px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. For example, the distinct prime factors of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 25.5px; height: 18px;\" width=\"25.5\" 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: 9px 8px; transform-origin: 9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 35.5px; height: 18.5px;\" width=\"35.5\" 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: 78px 8px; transform-origin: 78px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, therefore the radical of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 25.5px; height: 18px;\" width=\"25.5\" 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: 9px 8px; transform-origin: 9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAABJUlEQVRYhe2WbRGEIBCGnw42oIAFTGACG9jABlYwgxHocBXMYAXvh3ByzqGwfowzxzvDD5nd5WGXFSApKelZUkAm8CnMOBWkAyYgD/SpgAHogcb4j0BN/KY+yhwQO0KArE+7mq/NvJZAlcw7K4FXBJBddPAsqj2wUWoCgTLmsmwtWAXGOgWoduxKj41ybMRZCgVyS6s27GwWh6uBrM24E08TBn4IKBcC+Up7GKgQAtV3APUR8W4B0jvx2ruBHlEyhECin2Mo0BAJNHJh28P3RRySyZcEJgbIPUeVx8b9X4nOTwwQLOXwdZrtMN9r4HQgxXJXrW3d14D4BalYDutk4PaUm4VHB0qxXL6i60Ixp1f/GB379c+MTW98evMt6qqkpKSkv9UbptKi8sNv99EAAAAASUVORK5CYII=\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 80px 8px; transform-origin: 80px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Similarly, the radicals of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAAA6klEQVRYhe2VWxGDMBBFj4c4wAAGogAFdRAHOMACGpCAByxUQy20Hwl0y0BLk5ZlhtyZ/UgmXM5uHgtZWVnHUgGYhO8NYBM9JpAWuANlgs+Q6mEEyBixZnWqRxVMKp6ZxZpZfpPUpJTsDHADuqMAdUDPa5XUgBxwxV8KdaASv1U2jNWBBqARY1WgJgDJB1ANyOK3ar5OBWi84m4FdHegLsSSdgdy+OpU4efzcMLjIuajGu0WoF6s+SaiqrUFqAlQayH74SDmi38BfZL6w3geoALfIEezWguoYP2gtiw/fu9UkniQs7Kysk6pB0ucjplAUbTSAAAAAElFTkSuQmCC\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 25.5px; height: 18px;\" width=\"25.5\" 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: 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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\" style=\"width: 33px; height: 18px;\" width=\"33\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 14.5px 8px; transform-origin: 14.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAAA6klEQVRYhe2VWxGDMBBFj4c4wAAGogAFdRAHOMACGpCAByxUQy20Hwl0y0BLk5ZlhtyZ/UgmXM5uHgtZWVnHUgGYhO8NYBM9JpAWuANlgs+Q6mEEyBixZnWqRxVMKp6ZxZpZfpPUpJTsDHADuqMAdUDPa5XUgBxwxV8KdaASv1U2jNWBBqARY1WgJgDJB1ANyOK3ar5OBWi84m4FdHegLsSSdgdy+OpU4efzcMLjIuajGu0WoF6s+SaiqrUFqAlQayH74SDmi38BfZL6w3geoALfIEezWguoYP2gtiw/fu9UkniQs7Kysk6pB0ucjplAUbTSAAAAAElFTkSuQmCC\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e5\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-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,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAABSklEQVRYhe2W4Y2DMAxG3w5swAIswARMwAZs0A26QmfICOzACsxwK/R+xFZdSkJCqHTS5ZOsthGJX4I/p1BVVfX31AC9fKaol+i+BbQAz4MEDfCQ52z8ANOVMDezeAiolcRbGBv3K2D6zaIhoBlYgdGMdXye2FAC0+B37Q6ABnkuBGtP2JUAOfzO7SntJXXEa6ThvZ5OacK/gjYB6CHPxTSXAHUysZffR0ApUqD5zOSFd0dcAbTK/Gz73wXINsBSoFbmagkkq2ffLaVA6rKs01GL700qAdJ1s2vHEe4RJUCOzxI41ITfxcDrUrQxGaDRjB8l0daR/ZrVkrkRSzSehQHvrDkSetM/5buOhxxTBJOinBoaEmA6Mu1/Fmjb4ffU4E/560AKs+D7TihWTl4fOUAKk2qGov9EmjBWyI64KWw4MntSVVVV1b/ULxZypElaY1O/AAAAAElFTkSuQmCC\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 83.5px 8px; transform-origin: 83.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, respectively, The number\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e1\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 121.5px 8px; transform-origin: 121.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eis considered to be the radical of itself.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 45.5px 8px; transform-origin: 45.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eGiven a limit \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: 195.5px 8px; transform-origin: 195.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, find the product of the radicals of all positive integers \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 25px; height: 18px;\" width=\"25\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 110px 8px; transform-origin: 110px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e Since, the radical product can get huge fast, please output only the number of digits of the product.\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: 13px 8px; transform-origin: 13px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 44px; height: 18px;\" width=\"44\" 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: 57px 8px; transform-origin: 57px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the radicals are: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 152.5px; height: 18.5px;\" width=\"152.5\" 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: 53px 8px; transform-origin: 53px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, their product is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 54.5px; height: 18px;\" width=\"54.5\" 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: 39.5px 8px; transform-origin: 39.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Therefore, \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: 68.5px 8px; transform-origin: 68.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"text-decoration: underline; text-decoration-line: underline; \"\u003ethe output should be '\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: 5.5px 8px; transform-origin: 5.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003e6'\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: 18.5px 8px; transform-origin: 18.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e digits\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function r = prodRadicals(n)\r\n    r = 6;\r\nend","test_suite":"%%\r\nn = 10;\r\nr_correct = 6;\r\nassert(isequal(prodRadicals(n),r_correct))\r\n%%\r\nn = 1000;\r\nr_correct = 2263;\r\nassert(isequal(prodRadicals(n),r_correct))\r\n%%\r\nns = 10000:50000;\r\nrs = arrayfun(@(n) prodRadicals(n),ns);\r\nss_correct = [4503407257 70876 91001 111568 132490 153727 175243 196990 47696];\r\nassert(isequal([sum(rs) rs(10000:5000:40000) floor(std(rs))],ss_correct))\r\n%%\r\nn = 1000000;\r\nr_correct = 5238328;\r\nassert(isequal(prodRadicals(n),r_correct))\r\n%%\r\nn = 1000000000;\r\nr_correct = 8237674403;\r\nassert(isequal(prodRadicals(n),r_correct))\r\n%%\r\nn = intmax;\r\nr_correct = 18403071064;\r\nassert(isequal(prodRadicals(n),r_correct))\r\n%%\r\nfiletext = fileread('prodRadicals.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":9,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-27T09:04:14.000Z","updated_at":"2025-12-25T20:09:26.000Z","published_at":"2021-09-27T10:28:34.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Radical_of_an_integer\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eradical of a positive integer\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is defined as the product of the distinct prime numbers dividing \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. For example, the distinct prime factors of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e100\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e[2\\\\ 5]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, therefore the radical of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e100\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e10\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Similarly, the radicals of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e14\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e125\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e1344\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e are \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e14\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e42\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, respectively, The number\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eis considered to be the radical of itself.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven a limit \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, find the product of the radicals of all positive integers \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\leq n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e Since, the radical product can get huge fast, please output only the number of digits of the product.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\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 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en = 10\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the radicals are: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e[1, 2, 3, 2, 5, 6, 7, 2, 3, 10]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, their product is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e151,200\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Therefore, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ethe output should be '\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e6'\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e digits\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":52764,"title":"Easy Sequences 24: Number of Coprime Lattice Points","description":"Given a number 'n', you were tasked to mark and count all coprime lattice points at the first quadrant bounded by the points (0,0), (0,n), (n,n) and (n,0). A coprime lattice point is a point (x,y), where x and y are coprime integers. \r\nFor example for n = 15, 145 points would be marked (see figure below).\r\n                                              \r\nNOTE: One is coprime to all integers including zero. Except for 1, zero is not coprime to any other integer, not even to zero itself.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440000534057617px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 450px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eGiven a number 'n', \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eyou were tasked to mark and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; text-decoration: underline; text-decoration-line: underline; \"\u003ecount all coprime lattice points\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e at the first quadrant bounded by the points (0,0), (0,n), (n,n) and (n,0).\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e A coprime lattice point is a point (x,y), where x and y are\u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Coprime_integers\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003e coprime integers\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eFor example for n = 15, 145 points would be marked (see figure below).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 318px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e                                              \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"387\" height=\"312\" style=\"vertical-align: baseline;width: 387px;height: 312px\" 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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eNOTE: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eOne is coprime to all integers including zero. Except for 1, zero is not coprime to any other integer, not even to zero itself.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function c = coprimeLattice(n)\r\n    c = round(29*n/3);\r\nend","test_suite":"%%\r\nn = 15;\r\nc_correct = 145;\r\nassert(isequal(coprimeLattice(n),c_correct))\r\n%%\r\nn = 15^2;\r\nc_correct = 30857;\r\nassert(isequal(coprimeLattice(n),c_correct))\r\n%%\r\nn = (15.15)^2;\r\nc_correct = 32133;\r\nassert(isequal(coprimeLattice(n),c_correct))\r\n%%\r\nn = 15^3:15^3:15^4;\r\ns_correct = 8586748191;\r\nassert(isequal(sum(coprimeLattice(n)),s_correct))\r\n%%\r\nn = 1234567.89101112;\r\nc_correct = 926576790685;\r\nassert(isequal(coprimeLattice(n),c_correct))\r\n%%\r\nfiletext = fileread('coprimeLattice.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":9,"test_suite_updated_at":"2021-09-24T10:12:54.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-20T19:00:46.000Z","updated_at":"2025-12-22T16:50:37.000Z","published_at":"2021-09-24T10:12:54.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven a number 'n', \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eyou were tasked to mark and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ecount all coprime lattice points\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e at the first quadrant bounded by the points (0,0), (0,n), (n,n) and (n,0).\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e A coprime lattice point is a point (x,y), where x and y are\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Coprime_integers\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e coprime integers\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example for n = 15, 145 points would be marked (see figure below).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                              \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"312\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"387\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eNOTE: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eOne is coprime to all integers including zero. Except for 1, zero is not coprime to any other integer, not even to zero 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b322iu6gX70ox+Zk046yVxzzTXBPM9+9rPNxRdfbA4++OBg2tIJmDAoLUz5CCCAAAIIIIAAAggggAACCCCAAAIIIIAAAiLQqQmDd7/73WbFihVVy11xxRXmpS99afW6buHKK680S5cuNQ8++GBdkpH1j3nMY8x5550399cGIxsnuIIJgwli81YIIIAAAggggAACCCCAAAIIIIAAAggggMAMC3RqwuC0004zH//4x6vmev/732+WL19evfYtbNq0yTzlKU8x//Vf/+XbHFx3+eWXm+OPPz6YrlQCJgxKyVIuAggggAACCCCAAAIIIIAAAggggAACCCCAwKBA7ycMPvKRj5g/+ZM/GdznanmXXXYxj3vc48x///d/m0ceeaRaP7jwpCc9ydx6661T+00DJgwGW4NlBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAgVICvZ4w+MUvfjH3Wwc//vGPh/wOO+ywua8bevrTn25k0mDr1q3mjjvuMJdeeqn5y7/8SyN/lTD4kEmHN77xjYOrJrbMhMHEqHkjBBBAAAEEEEAAAQQQQAABBBBAAAEEEEBgpgV6PWFw/fXXG/kB48HHq1/9avOpT33KPOpRjxpcXS1/4xvfmPu9g3vuuadat88++5i7777b7LrrrtW6SS0wYTApad4HAQQQQAABBBBAAAEEEEAAAQQQQAABBBCYbYFeTxisWbPGnHTSSVULywX/H/7wh2a//far1vkW/uVf/sW85jWvGdr0ne98Z+63EIZWTuAFEwYTQOYtEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBEyvJwze/e53mxUrVlTNfOqpp5pPfOIT1eu6hW3btpnDDz/c3HzzzVWSyy67zJxwwgnV60ktMGEwKWneBwEEEEAAAQQQQAABBBBAAAEEEEAAAQQQmG2BXk8YnHzyyXNfP2Sb+LOf/ayRrySKebzvfe8z73rXu6qk73//+83y5cur15NaYMJgUtK8DwIIIIAAAggggAACCCCAAAIIIIAAAgggMNsCvZ4weNGLXmSuvPLKqoX/8z//0zznOc+pXo9b+Kd/+ifzB3/wB1WSN7zhDebjH/949XpSC0wYTEqa90EAAQQQQAABBBBAAAEEEEAAAQQQQAABBGZbYKYmDO68805z0EEHRbX4tddea573vOdVaX/v937PfOELX6heT2qBCYNJSfM+CCCAAAIIIIAAAggggAACCCCAAAIIIIDAbAv0esLgd3/3d81XvvKVqoUfeOABs2jRour1uIUvfelLRiYJ7ONVr3qVkR9DnvSDCYNJi/N+CCCAAAIIIIAAAggggAACbRHYet89ZsPay8zW++8xW+67d+556/33mgX77j9XxQX7HmAW7rdjedfjl5pdjljSlqpTDwQM8UsQIIBAFwV6PWEgF/kvvfTSql3uvvtuc8ABB1Svxy3IjyPL1xDZx7Jly8zHPvYx+3Jiz0wYTIyaN0IAgRkXYDA/4wHA7iOAAAIIIIBAawQ2fesGs3ndDWb9Basb10kmEmTSgMmDxnRkyCRg43fDFZdun+C6t1GpxG8jLhIjgEAhgU5PGIjJwoULa2m2bNkytO073/mOecpTnjK0ru7FmWeeac4999xq84oVK8zKlSur15NaYMJgUtK8DwIIzKIAg/lZbHX2GQEEEEAAAQTaKiBjs41rLzUbrrgsSxV3O+6VTBxkkaSQGAG5AWn9+auzxK+dONj99DPMgv3ibnyNqWNf0nCzV19akv1oq0DnJwyawF599dXm6KOPjsrypCc9ydx2221V2rVr15rjjjuuej2pBSYMJiXN+yCAwCwJMJifpdZmXxFAAAEEEECgCwKPrDwzy4VWd1/thdc9V65yN/EagWwC689bnfQXMaEKEL/zQtzsNW/BEgKlBTo1YfCmN73JfPSjH002ueKKK8xLX/rSYP6bbrrJHH744VU6uWj/4x//2Pz6r/96tW5SC0wY5JdmJjq/6WCJ+A5qsNxGAQbzbWwV6oQAAggggAACsyogFwFlfLb5xhtqCeQvBeS3CnY+colZuP0rh+SOaznvkMeW7V/5Ys9BxpUhF173Om8Nd2vXKrMhVeCh008sHr87H77E/MrKD8xk/Mrnm7/cSI1O8iGQJtCpCQP5AeOlS5eahx9+uPHe7r333uaWW24x++23XzDv6173OvPP//zPVTr5qwT564RpPJgwyKNuZ6L5Dsw8nm4p1pfvaHRleN02AQbzbWsR6oNAtwTsBSl+eDNvu+Ga15PSEOiSgJxHPLzsRG+V5QLpbse/cvu/pd7tvpXSn0iZ8iPJvskDmTSQr3hpUqbvfViHgAhIrMlfxvh+p6BU/MpfyszSD3tzsxefNQSmI9CpCQMh2rBhg/n5z3/eSEsuusuEQd3F98HCNm3aZPbYYw+zefPmavWnP/1pc9JJJ1WvJ7lQV+dt27ZNshqdfS85gPMdmOWaj5n+craUnFeAwXxeT0pDYJYEpP/ghzfzt7h15WaD/LaUiEBXBKQf8E0WyIXW3Zedob4oukF+C8EzccCkQVcipN31rIvfXPEl8St31buTEVL+rEwacLNXuz8D1K7fAp2bMJhEc7z//e+f+/0CuVj/1Kc+1bz1rW81CxYsmMRbj7wHEwYjJNEr+A7MaKqkhMz0J7GRaQoCDOangM5bItADAek7uOkgf0Nys0F+U0pEoIsCdeMzmSzY6/w12Xaprs+Ri658PVE25pks6MHjnz9yMZ/4zRMK0j/wlxt5LCkFgVQBJgxS5SaUjwmD5tBycOE7MJu7NcnBTH8TLdJOW4DB/LRbgPdHoHsC3HRQps242aCMK6Ui0EUB3/hszxUfKPZVQXK39iNnLx+iYtJgiIMXDQR858PyOxslflhbJr3kL2Xcr1fOPTnRYPeLJq2bTOQvN4qyUzgCIwJMGIyQtGsFEwbN2qPu4CKlyAGV78Bs5ummZqbfFeF12wUYzLe9hagfAu0S4KaDcu3h648H3y3HD5rKWG9WfxBy0JJlBNou4OsPHr39x4hLfy+7b9Kg1EXetrcB9UsX8N1UMIk48k26T+J906XScvomE3NPjvCXR2ltQ67ZEmDCoOXtzYRBfAPVTRbIwYXvwIx3rEtZ58tMf50Y66ctwGB+2i3A+yPQLYG645zsBTcdpLeluPK1Aul+5ESgbwK+vnaSFz19F10nMVnRt3ac1f2RC80PvuyYod3PfTF7qPCBF76L3H37KxnfZGKp/mHW/nJjIJRYRCBKgAmDKKbpJWLCIM7eN/CUnLkP3r6DtLxP3w7Usk/ug5l+V4TXbRZgMN/m1qFuCLRPYNw4gpsO0turzpWbDdJNyYlA1wXcC4K5z9dCPjJG/N+Vy83mG2+okk66DtUbs9A5AfeGJDmeLVp79cT2Q+L3oWUnDv12QqkL6hPbqf97I9dWVk9i33yTiJN430n78n4INBVgwqBGbOvWreab3/ymWbhwodljjz3Mk5/85JqUZVczYRDn67uYzXdgxtnFpHIH9pKn1EFUBkGz9B2NMf6kaS7gDjgZzDc3JAcCsyJQd1E79wUkOb6tP3+12XDFZUO0fb7pwDc+w3Wo+XmBwEwJ+L4SaBp39/v6/WnUY6Yavwc7K8dx968LSl5zqCNzP0cyjpDfTij9lV519cmx3mebe7xQV0/f+KzPY7M6B9Yj4AowYeCK/N/rD33oQ+Ztb3tbtfX66683S5YsqV5PaoEJg7C072L2JAZ87oFaalrqInpYoVwK98LrpPaTmf5ybdr3kn0DTgbzfW919g+BdAHfRe2SfYZv/NDHE1Pf+KzUOEn6fW42SP8MkBOBSQm45xWl+oSY/WlTXWLqS5rpC7gxI8fuSf51waCAe4yd5mdpsF6py9O2lXFEX/9yI7VNyIcAEwY1MXDWWWeZc845p9r6xS9+0Rx77LHV60ktMGEwXtp3d8gkD5a+i9qTmKwYr5Jvq+/CKzP9+XwpqYzAtAecg3vVt8H84L6xjEAfBNzPqOzTJI7jvkmDSY5fSred2w/L+01i/3zjskm8b2lPykegLwI/O/IJQ7uy6PKrzIL9DhhaN6kX7nnONC/+TmqfeR+dgHuDQcmbC0I1dccRXY5f97Mo+z4NW59p1/9yIxRHbEdgnAATBjU6TBjUwLRstXuiP6mL2ZZBDm59/g5M94R/0gMR8WWm30Ybz7ECDOZjpUiHwGwLcNNBmfb3nfhPanwm7+1+7ZOMXfY6b83ULkqWUaZUBLon4Otzf3Xd96e6I+655CQmjKe6w7x5soDv2DbN+PXVp6vxO+1rDoNB4fYJ3HQwqMPyrAkwYVDT4kwY1MC0aLU7AyxVm8ZB0jf4nUY9cjeNbxDCTH9uZcrLLeCLWwbzuZUpD4F+CLgnhZO6qG31pL/q400H0z7xF1duNrBRxjMC7RFw+4bdTzvDyI/KT/Phnk9ycXCardHu93b/gq0NseKOY9pQp5RW5GavFDXyIFBegAmDGmMmDGpgWrTaHXRO8wDZprrkaiJ3nyb91wWD+9GXwdDgPrFcRoDBfBlXSkWgbwLuRSLZv2lM9vftpgPfpC03G/Tt08P+IJAm4J5bTKNvcGvuHgumeT7p1o3X7RIgfsu0h2/cwM1eZawpFYGmAkwY1IgxYVAD06LVfAdm2cZgpr+sL6WXEWAwX8aVUhHom4DbV0zzIlGb6qJtZ3dfuNlAK0p+BPoj4J5bTPP3C6yqO2k76b80s/Xguf0C7g1s07jJwFXqQ/xys5fbqrxGoD0CnZowWLZsmVmzZs1E9DZu3Gg2bdpUvRc/elxRtGLBPThKpaY5Ey3v38ZBhNQr5cFMf4oaedog0MbPodtfcTLahkihDrMuwE0HZSLAvSA4zTuI3TuHpzl5UUabUhHoloDbP7RhwsA956Gf6FZMTbK2xG8ZbfdGg2mOG+weuuOHad5UYuvEMwLTEOjUhMEznvEMs27dumk4GSYMpsJe+6bugYXvwKylStrATH8SG5laIMBgvgWNQBUQaLmAO4kn1eWmA32juRfepu3qq08b7gjVS1MCAt0UcCdqp93vWsW21svWj+d2CLQxTtzjXBcnvLjZqx3xTS0Q8Al0asLgsMMOM7fccotvP4qvY8KgOHGjN3AnDJiJbsQXTIxvkIgELRVgMN/ShqFaCLRIwD3GcdNBnsbhZoM8jpSCQF8F2nhTh1i3cezY1xjo8n61NU7aWq/Ytm5jv9CHiZhYf9IhME6gUxMGRx99tLnmmmvG7U+xbW2bMJAd3bZtm9lpp51m8vmWQw82B+66c9XeT7/1LnPXhk1T9di47nrz8LITqzrJ14485oKLO9k+a3/nAPPcRz+q2peX3X6fufahX+A7o5+3LvUzPz3i8VXcyoLcvdaG+re1XrN8HGlDXOA/nXHM/654h9lwxWVVXyE3HTzqZa+a6vH69XvvZf7u4H2qOv3TTx82b/rhj1vRf8XGKa7TiefY9iEd7TPt4x7nF7N53j7tuMv1/m28/rDl3rvNgy87pho7yF8YPPaK/5jqeKaptzvh8WvfumPq9e+Da9N2SE1fBR8LvRTo1ITBhRdeaE499dShhli8eLE56qijhtbleHHzzTebW2+9tSqqbRMGsz7of+C4o83W+++t2ke+A3Ph/gdO9eBy0G67mJsOOaiq090bN5unffvOTp3s27jCl5PK1EHDtPMxmOdk1PZjPNOP1fVHbewn+nDTARcD6X/pd+l36/pdWf/z015vNt94Q3WuJF8RtuuRz5rq+dtRe+1hLn/iflWd/vPhX5rjb7unk+dvfP7Kfv6I3zK+bb2pqq31auPnvOpAWeidQKcmDET/xS9+sfna175WNcShhx5qbrzxRrNw4cJqXY6Fs846y5xzzjlVUW2cMKgqN4ML7ky09jsw7eBWS5m7Xtr6pObPvR85fPnTwPrWzOFbX3q3tpT4Hkytr/t96fzo8XBMaX2HS+OVK4CvK2JMzj9/z+Xbh2NcTlfbalrfPrhaixLPWt8SdepTmfgOt6b7dXDaHxLN4evWqQ1fUTesNr1XOXynV/v87+zGivYrkXP4tvGrAJvKlxg7SB00vowdwq2o8Q2XToq2CHRuwuCOO+4whxxyiFm/fn1luHr1avPmN7+5ep1jgQmDHIrlyihxYMnR6eW+0F5OcHzJJfYD3/Hm2q05fLV1aEP+3IN5u08a3z4M5q1DqWeNb6k69alcfIdbM/cxLpdv7noN73X5V6Xqr/HlpD/c7hrfcOmkwHc+BjasvdQ8cvbyakWOH2jV+rrnlNqLwNXO9WRB69sThrndcONXO+ElhWp93fOeLk54lbjZy8Zdqi83e1nB8c+pvuNLZWubBDo3YSB45557rjnzzDMrx0WLFpnbbrvN7LPP/He/VhsTF5gwSISbULbcB5YcnV2fDizu4Fm+8mnBfgckt24OX0766/lz+NaX3q0tDOa71V5SW+K3bJvhO+qb8xiX07fUBfdRgTJrStQ/h2+JepURnHypOXwnX+vuvCO+w23ljuVlq3wt0S5HLBlOGPlK6+urj/av1iOr3olkWt9O7GSDSrrxop3wyuHrHt+05+wNOLIldSc9ck3aaXy52SvcvBrfcOmkaItAJycMtmzZYp75zGfOfRWRhZTfNvjEJz5hX6qfmTBQExYtIPeEgVRW2+n1acIA36LhW6RwbfwWqdQUCs09mLe7oPHtw2DeOpR61viWqlOfysV3uDVzH+Ny+PZhDJFzImawxTS+pY4Jg/Xr+rLGt+v7Pon64zus7Pa/2ru0Nb656zK8p/14pfHth8DwXrgxo5nwkpI1vu5NUtoJjOE9ndwrdz+0fcJgzVN93UmMLv7lxqBDqeVU31L1odz8Ap2cMBCGm266aW7SYPPmzXMqEqzXXXededaznpVFiQmDLIzFCnE7ce2BJUdn59apywcWd1+0M/05fJnpr/845fCtL717WxjMd6vNiN+y7YXvqG/OPiKXbx8mDHK62lbT+vbB1VqUeNb6lqhTn8rEd7Q13YuDkiL1oqvG1+0bNPUY3ct+rNH49kNgdC/c+NVcpNf6usfcrl57KDWxr/HlZq/R2HfXaHzdsnjdXoHOThgI6fLly82qVasq3aVLl5pLLrmkeq1ZYMJAo1c+b86Dta2tttNz76zTXmS39ZrGs+urnZCRfdD6upMYXR0UlWpPrW+pek2jXDd+NYN5W/9U374M5q1DqedU31L16Vu5+A63qHs80R7jcvi6deriMc7dh1zjII0vNxsMx77vlcbXVx7rhgXwHfaQV+7YaOfDl5i9zl8zmjBiTapvzjpEVLOzSVJ9O7vDgYq7F7clueZYl+rrnutIPVIn3iTvtB/u5zHXvqT4urY5ziOn7Vvq/VN8S9WFcssIdHrCQH74+DWveY35xje+YRYsWGBe/epXG/kB5ByPdevWmb/4i78wDzzwgDnwwAPNBRdcYPbee+8cRTcqQz6Evse2bdt8q2dmne9grTmwaDs7X326/B2Y7v5oD5RaXwlsZvrrP945fOtL794WN35lDxjMt7cdid+ybYPvqG/Ok8Fcvn246cB11U7ESMtpfd1JjC5OxIxGcL41Wt98NelnSfj629V3d3/KZzPV1704KbXUnEf697L7a1N9u7/n4/fAPa6knidrfN0xQ47j7fi9LrvVHT+kmg7WMtXX7R9S+qbBevR1OdW3rx593a9OTxj0tVEG90s+iL7HrE8YiInbmWsPlJpOL3ddfG0+6XXuPmkH0hrfEoOISXuWfj+Nb+m6TaP8XIN5W/cU374N5q1FiecU3xL16GuZ+A63rG9SUXOM0/r66tPFmw7c/chxwi8tp/HlZoPh2Pe90vj6ymPdsAC+wx72lTtOk/UpF+aa+vomK7TnkHaf+vjc1LePBu4+ucc62Z76VzIpvu45urx/F3/sWOptHz5Tzc1ettymvu41BylHMz609ejrc1Pfvjr0eb+YMGh568qH0PdgwsCYnB26prPzDTz7cGBxfTUn/hpfiX93YJRyQuH7HPVlnda3Lw6D++EbeDKYHxRqzzLxW7Yt8PX7useV1AtGOXxz1cW/p5Nd6+6Ldjyk8c05jpms4uTeTeM7uVp2953wrW87Gac9tOxEs/X+e6tEcq6x23FLze7LzqjWjVto6us7Z9Oc34yrWx+2NfXtwz7H7oP7dXeSr+n5aYpvrom22P2cZDp337SfzRRfbvaKb/EU3/jSSdkWASYM2tISNfWQD6LvwYTBDhX3xDT1gqCUltrp5ayDr62ntc53wVUz05/q657wi4f2AsS0TEu+b6pvyTpNu+wcg3m7D0183QGvlNH0JMK+76w8N/GdFZOc+4nvqGbOY4vG13cBq8vHONdVe8IvLZfq647P6IdHPwcaX39prHUFUuPXLaePr33nGrKfTSZwY33d/sB6drm/tftQ8jnWt2Qd2li2xO7681ebDVdcNlS9pseZJr6+8wvNtY+hirfgha8/0O5fE19fH9H1v9wo3axNfEvXhfLLCDBhUMY1W6nyIfQ9mDDYoeI70W56oJaSUjs734GlTwNPd2CSeuKf6ittw0y/KIx/aHzHl9ztrQzmu9F+xG/ZdsK33tc9hqecmGp9c9Shfg8nv8V3ws/NBpNvh9h31MZv7PvMajp8wy3vO5eTXHLOsefKVWaXI5bUFhLjK+XL+czgXzLYAvt0zmb3KedzjG/O9+taWXK8c/9KRvYhdizRxNcdK8j7pJ6XS962PrjZq60tM1qvJvE7mps1XRFgwqDlLSUfRN+DCYN5FfeitmyZxKSBb4Db5I6Y+T1o75LvxD92EOTuVcpBxTc4Yqbfld3xOsXXX1K/1moH81YjxtcXr30czFuTnM8xvjnfb9bKwtff4r7j+CTGD7Y2vj6jDxew3HGZth9MiV9uNrBRFn5O8Q2XSgorgK+VqH/29cU2tZx3yFcU1U0c1PlKmXLxcfONN9iihp770NcO7VChF3W+hd6uc8X6zpVlJ+S4t/vpZ5jdjl86dp9CvvJXe/KXDLMy4SWeOf5yw6KHfCWdO2aRdanXOyTvLD1ifGfJo4/7yoRBy1tVPoS+BxMG8yq+C4JykOY7MOeNNEs5ZvpTDia+g3fKhRzNvnclb4pvV/YtRz0ZzOdQLFcG8VvOVkrGd7yv9liT6uu7QNaXmw58fW7qyXeKr28ihpsN/J+DFF9/Saz1CeDrU/Gv853PDaaUczuZNNj1/y7ALtz+euH+Bxo5J5a8W7b/FoI8b94+UeB+TcxgOdIX/crKD5gF+x0wuJpljwDx60HxrBoXuxK3dX8pM8533ETBuDI91evcqjrPpuOIcb4WxTdeEN9Fa6+2SXiuEYjxrcnK6g4JMGHQ8saSD6LvwYTBsIocWB582THDK7e/anLyHdvp+Q4s8sZ9vVNFbHPM9Mf6iqXvAk7TQYKUM0uPJr6z5GL3tW7wKdtjBt4+31kezFvXXM8+31xlUw6TBuNiwNc3SJ/ATQfj1MLbctxsYN+lSf/gGz9ws4GV9D838fWXwNpxAviO0xneVnfOMZwq/VWT88L0d+lXTuI3rj1DsSvjCpnw2nn7P5mskgkveRbfLffe3WjCa6/z18RVqsOpxNN3bUccY/5yw+56XfyOO4fr6zUda5Lzuc4353tQ1nQFmDCYrn/w3eVD6HswYTCq4rtbT1KlXgx030HKlxPRWfmTwMH9911Qke2xF/GbHEx8EzLShsz0D7bI8HIT3+Gcs/WKwXw725v4Ldsu+IZ9605MYy4uNfX1HeOkhn07Qa3rb5tevG/i65ssiB2nhKOknyma+PZToOxe4ZvmK/3H/65cXvt1Qk1LlX6AvypoqsbNBk3FJG43rL3MrL9gddOsUeljxiRRBXUkkXj6fiNCqp96fWfcREFMmR2hm0g1Ob5NhHnqb8KEwdSbYHwF5IPoezBh4FMxpm7SQFLLYJHvwPS7xayVg7Zmpj90UBl3AO/bhZQY76ZpQr5Ny+tregbz7WxZ4rdsu+Ab9q0bP8ScQMb4zuJNB3Un+00v4sf4+iZiuNkgHPeSIsY3riRS+QTw9anErZM+RCYO5FH3WwR1JcnnX+7olruR+fqhOqXweuI3bOSmkLj1/XW+my72tUwUzGochyzt59z9yw2xlbxHP+mJ5mtrPh31VWWz8JcbsTEXm47+IVaqu+mYMGh528mH0PdgwsCnsmOdHBzqZqMlhT2w8B2Y9YZ1W8bZiivf0VgnV3Y9B+vmvqEBaNMSZ3kw39TKTU/8uiJ5X+Mb71k3aSAl1N10EPKVMmf5hzelr+Vmg/gYnHTKUPxOuj59ez9887Wo9CXSn8pvFGy5b/vvFdx/T/VX33IOsmDf7V/zst+O552PXFL7I8n5atT/kohfXRvbmJW/OmDCK91SHPnLjXS/UjnpH0rJtqtcJgza1R4jtZEPou/BhIFPZX6dHFhyzuzPl7xjadb+JHBw/0O2dkLGnemXWOY7Ggcl8y5z0E7zZDCf5pY7F/GbW3S4PHyHPca9kj6Bmw7GCTXfNs503M0G9p188TvurxJjyrRl88xfGJSOAV/8ln7PWSof37KtjW8eX3u+ETPhtdvxr+SvYjzsYpjz+g43e3mQG66if2gI1sHkTBi0vNHkQ+h7MGHgUxldJwcWvgNz1EW7RlyZ6dcq5svPwTqPJYP5PI5NSyF+m4o1S49vMy9Jnfuk1K3BLN50EDLlZgM3Sibzmv6hrDO++JYVKFs68YtvWYG00u35Gn+5keaXKxf9Qy7JdpfDhEG722fue0V9VWTCwKdSv04OLHwHZr1P6pbQBYCm5TLT31RsPj0H7XmLEkv4llCdLxPfeYsSS/imqdqxQ9OvEqh7t1n/4U3x5GaDuuiY3nr6h7L2+OJbVqBs6cQvvmUFdKXLuGLcV5Vdc/sd5oV/8Pq5ryzjLzd01r7c9A8+lX6tY8Kg5e0pH0LfgwkDn0rcutCBhe/AjHMcTGVNmekfVJncMgfrstb44ltWoGzpxK/eV45x3HSgd7QliCdfK2A1pvtM/1DWH198ywqULZ34xbesQNnSiV98ywrMRulMGLS8naWj8z2YMPCp6NZxUNH52dx28oDvaLQik3kmfss644tvWYGypRO/+XybHOP44c3x7taSmw3GO5XeSv9QVhhffMsKlC2d+MW3rEDZ0olffMsK9L90Jgxa3sbSyfkeTBj4VNLXcTBJt4vJiW+MUnoafNPtYnLiG6OUngbfdLuYnPjGKKWnwTfdbjCnnTzgZoNBlfLLxG9ZY3zxLStQtnTiF9+yAmVLJ37xLSswG6UzYdDydpaOzvdgwsCnolvHQUXnF8qNb0hItx1fnV8oN74hId12fHV+odz4hoR02/HV+YVy4xsS0m3HV+cXyo1vSEi3HV+dXyg3viEh3XZ8dX6h3PiGhHTb8dX5dSE3EwYtbyX5EPoeTBj4VNLX0dml28XkxDdGKT0Nvul2MTnxjVFKT4Nvul1MTnxjlNLT4JtuF5MT3xil9DT4ptvF5MQ3Rik9Db7pdjE58Y1RSk+Db7pdTE58Y5TS0+CbbtelnEwYtLy15IPoezBh4FPRraPT0/mFcuMbEtJtx1fnF8qNb0hItx1fnV8oN74hId12fHV+odz4hoR02/HV+YVy4xsS0m3HV+cXyo1vSEi3HV+dXyg3viEh3XZ8dX5dyM2EQctbST6EvgcTBj6V9HV0dul2MTnxjVFKT4Nvul1MTnxjlNLT4JtuF5MT3xil9DT4ptvF5MQ3Rik9Db7pdjE58Y1RSk+Db7pdTE58Y5TS0+CbbheTE98YpfQ0+KbbdSknEwYtby35IPoeTBj4VHTr6PR0fqHc+IaEdNvx1fmFcuMbEtJtx1fnF8qNb0hItx1fnV8oN74hId12fHV+odz4hoR02/HV+YVy4xsS0m3HV+cXyo1vSEi3HV+dXxdyM2HQ8laSD6HvwYSBTyV9HZ1dul1MTnxjlNLT4JtuF5MT3xil9DT4ptvF5MQ3Rik9Db7pdjE58Y1RSk+Db7pdTE58Y5TS0+CbbheTE98YpfQ0+KbbxeTEN0YpPQ2+6XZdysmEQctbSz6IvgcTBj4V3To6PZ1fKDe+ISHddnx1fqHc+IaEdNvx1fmFcuMbEtJtx1fnF8qNb0hItx1fnV8oN74hId12fHV+odz4hoR02/HV+YVy4xsS0m3HV+fXhdxMGLS8leRD6HswYeBTSV9HZ5duF5MT3xil9DT4ptvF5MQ3Rik9Db7pdjE58Y1RSk+Db7pdTE58Y5TS0+CbbheTE98YpfQ0+KbbxeTEN0YpPQ2+6XYxOfGNUUpPg2+6XZdyMmHQ8taSD6LvwYSBT0W3jk5P5xfKjW9ISLcdX51fKDe+ISHddnx1fqHc+IaEdNvx1fmFcuMbEtJtx1fnF8qNb0hItx1fnV8oN74hId12fHV+odz4hoR02/HV+XUhNxMGLW8l+RD6HkwY+FTS19HZpdvF5MQ3Rik9Db7pdjE58Y1RSk+Db7pdTE58Y5TS0+CbbheTE98YpfQ0+KbbxeTEN0YpPQ2+6XYxOfGNUUpPg2+6XUxOfGOU0tPgm27XpZwzPWHw05/+1Hz+858369evN495zGPMiSeeaCTw2/Soqw8TBvlbiU4vv+lgifgOauRfxje/6WCJ+A5q5F/GN7/pYIn4DmrkX8Y3v+lgifgOauRfxje/6WCJ+A5q5F/GN7/pYIn4DmrkX8Y3v+lgifgOauRfxje/adtKnOkJg7e//e3mgx/8YNUmX/7yl81LXvKS6nUbFuRD6HswYeBTSV9HZ5duF5MT3xil9DT4ptvF5MQ3Rik9Db7pdjE58Y1RSk+Db7pdTE58Y5TS0+CbbheTE98YpfQ0+KbbxeTEN0YpPQ2+6XYxOfGNUUpPg2+6XZdyzvSEwVve8hazevXqqr0uu+wyc8IJJ1Sv27AgH0TfgwkDn4puHZ2ezi+UG9+QkG47vjq/UG58Q0K67fjq/EK58Q0J6bbjq/ML5cY3JKTbjq/OL5Qb35CQbju+Or9QbnxDQrrt+Or8QrnxDQnptuOr8+tCbiYMmDDoQpwWryOdXVlifPEtK1C2dOIX37ICZUsnfvEtK1C2dOIX37ICZUsnfvEtK1C2dOIX37ICZUsnfvEtKzAbpXdqwmDTpk3mu9/9braWWbVqlfnMZz5TlSdfT/TCF76wem0XFi5caJ761KdO5fcNpKPzPfgLA5+Kbh0HFZ1fKDe+ISHddnx1fqHc+IaEdNvx1fmFcuMbEtJtx1fnF8qNb0hItx1fnV8oN74hId12fHV+odz4hoR02/HV+YVy4xsS0m3HV+fXhdydmjB4z3veY/7yL/9yKq5f/OIXzbHHHjvx95YPoe/BhIFPJX0dnV26XUxOfGOU0tPgm24XkxPfGKX0NPim28XkxDdGKT0Nvul2MTnxjVFKT4Nvul1MTnxjlNLT4JtuF5MT3xil9DT4ptvF5MQ3Rik9Db7pdl3K2akJg6VLlxr5nYFpPD72sY+ZZcuWTfyt5YPoezBh4FPRraPT0/mFcuMbEtJtx1fnF8qNb0hItx1fnV8oN74hId12fHV+odz4hoR02/HV+YVy4xsS0m3HV+cXyo1vSEi3HV+dXyg3viEh3XZ8dX5dyN2pCYOXvOQl5qtf/epUXD/60Y+aP/7jP574e8uH0PdgwsCnkr6Ozi7dLiYnvjFK6WnwTbeLyYlvjFJ6GnzT7WJy4hujlJ4G33S7mJz4xiilp8E33S4mJ74xSulp8E23i8mJb4xSehp80+1icuIbo5SeBt90uy7l7NSEwYte9CJz5ZVXTsX3c5/7nHnFK14x8feWD6LvwYSBT0W3jk5P5xfKjW9ISLcdX51fKDe+ISHddnx1fqHc+IaEdNvx1fmFcuMbEtJtx1fnF8qNb0hItx1fnV8oN74hId12fHV+odz4hoR02/HV+XUhd6cmDI477jjzb//2b0Ou8mPE8rsGe+2119D6mBfyVwOf//znq6Snn366OeGEE6rXdmHnnXc2xxxzjJHnST/kQ+h7MGHgU0lfR2eXbheTE98YpfQ0+KbbxeTEN0YpPQ2+6XYxOfGNUUpPg2+6XUxOfGOU0tPgm24XkxPfGKX0NPim28XkxDdGKT0Nvul2MTnxjVFKT4Nvul2XcnZqwmD58uVm1apVI7777rvv3PqTTjppZNu4FW95y1vM6tWrqyTy+wi+CYMqwRQW5IPoezBh4FPRraPT0/mFcuMbEtJtx1fnF8qNb0hItx1fnV8oN74hId12fHV+odz4hoR02/HV+YVy4xsS0m3HV+cXyo1vSEi3HV+dXyg3viEh3XZ8dX5dyN2pCYOf/exn5rTTTqv94eOjjjrK/N3f/Z152tOeFmXPhEEU00wkorMr28z44ltWoGzpxC++ZQXKlk784ltWoGzpxC++ZQXKlk784ltWoGzpxC++ZQXKlk784ltWYDZK79SEgW2Sr3zlK+aMM84w3/ve9+yq6nnhwoVzP078nve8xzz2sY+t1vsWmDDwqczuOg4qZdseX3zLCpQtnfjFt6xA2dKJX3zLCpQtnfjFt6xA2dKJX3zLCpQtnfjFt6xA2dKJX3zLCvS/9E5OGEizbNq0yXz4wx827373u83DDz880lJ77723ee9732v+6I/+yEhH4XswYeBTmc11HEzKtju++JYVKFs68YtvWYGypRO/+JYVKFs68YtvWYGypRO/+JYVKFs68YtvWYGypRO/+JYVmI3SOzthYJvn/vvvN2eeeab5x3/8R7tq6PnII4+c+5qiJUuWDK2XF0wYjJDM9AoOKmWbH1+979b77jEb1l5mtt5/j9ly371zz1vvv9cs2Hd/c9ddd5nFz3quWbjf/nNvtOvxS80uR4z2e/pazGYJxG++dh8Xx/IuC/Y9gDjOxz1XEvGbGdQpDl8HJPNLfDODOsXh64BkfolvPlDGD/ksY0sifmOl0tLhm+YWmwvfWKm0dPimuXUpV+cnDCz2tddea/70T//U3HLLLXZV9SyBfOqpp5r3ve99Zp999qnWM2FQUcz8Ap1d2RDAN91307duMJvX3WDWXzD/A+2xpclEgkwaMHkQK+ZPR/z6XZqsJY6baOVNS/zm9XRLw9cVyfsa37yebmn4uiJ5X+Or92T8oDdMLYH4TZWrzzc46XXlZy42z3vi47ffALbj5i/JxU0z9XZNtxC/TcVG0w/GKzcrjvrMwpreTBhIY23ZssV87GMfM2eddZZ54IEHRtpv0aJF5uyzzzZ/8id/YuS3DpgwGCGamRXjOj9B4GCdPxQ4aDczlROkjWsvNRuuuKxZxprUux33SiYOamxiVhO/MUqjaYjjUZNprCF+y6rji29ZAX3p48a9/IWi3ndcCfQP43TqtzF+qLeZ5BbiV6/NpJfeMLUE4re5HPHa3KzPOXo1YWAb6n/+53/Mu971LvPxj3/cbNu2za6ung855BDzt3/7t+ayyy4zq1fP37Urr0844YQqXRsWpJPzPXz75UvHunkBOr95i0kvcbBuJv7IyjOzTRQMvrP9i4M9V64aXM1yQID4DQDVbCaOa2AmvJr4LQuOL75lBdJLZ9ybbpcrJ/1DmiTjhzS33LmIX52o9MHc/KUz1OQmfpvpEa/NvGYldS8nDGzjrVu3bu5rim644Qa7auwzEwZjeTq7kc6vHU3HQTvcDhKr689bbTbfWN9nyV8KyF/A7HzkErNw+1cOLdjvACN3Di5evNh8/7pr55bldw7GlSETB3udt2Yub7hWpBAB4jc+DlLieOH+B5ot99499yZbtv9ptr0bljiOdx+Xkvgdp6Pfhq/ecFwJ+I7TGd3GuHfUZJpriN94fcYP8VaTSkn8pkkz6ZXmljsX8RsnSrzGOc1iql5PGEiDyp34n/zkJ8073/lO85Of/GRsGzNhMJankxvp/NrRbBysw+0gJ0kPLzvRm3Dnw5eY3Y5/5fZ/S73bfb5ywVXKrJs8kEmD3U8/o7ZM7xvN6Eqf74xSBHc7JY7H+RLHQfJggnG+wcwkCArgGyRSJcC3GR/j3mZepVMTv/HCjB/irSaVkvhtLi1xHHvz10ve8U7zH9+7vbr5S96Nm2aam9flIH7rZObXN4lXblacd5ulpd5PGNjGfPDBB82KFSvM3//938/91oFdP/jMhMGgRreXUzo/7nAt2+YctOt9606SZKJg92VnzP1wcX3uHVvG+W6Q30Lw/NUBkwYh1fnt43znU832kiaOY3yJ4/T4ivFNL52c+JaNAXzDvinjXv5CMeyaIwXxG1Zk/BA2mlYK4jdevi6OpYS6m7/G+XLTTLx9XcpxvnV5ZmV9Sry6NoO+xKur04/XMzNhYJvr1ltvNW9+85vN1VdfbVdVz5/73OfMK17xiup1GxbkQ+h78BsGPpUd61I6v8HOzi2Zzs8Vaf56nG/z0vqVoy5eZWC51/lronY2xlfieP35q0d+G4GvJwoTx/iGS+l3Ck0cN/EljpvHURPf5qWTA9+yMYBv2Leu/5WcdRepbKk+X8a9Vkf/7PPVl9qvEuriN2Yc3MSX8UPzuGni27z0fuUYF8d1N3818eWmmebx0sS3eendzpESr+4ej/MlXl2t7r6euQkD21SXXHKJueCCC8wdd9xhtm7dan7zN3/TfPaznzUHHHCATdKKZ/kg+h5MGPhUzNxXsPi+1kUGnXUHa1vSuE7PpqHzsxLNn2N8m5fa/RwPHv98s3X7d7YPPvZc8YHGXxUU6ysx/MjZywffbvtvIvCbBkMgnhexvp6sM7FKG8dNfYnjZmHV1LdZ6aTGt2wM4Fvvy0l/vU1bthC/41uC8cN4n2lvJX7DLTCuHw7d/NXEl0mvcFu4KZr4unn7+loTr67JOF/i1dXq5uuZnTDoSnPJh9D3YMJgVEXT+Y3r7Nx3ovNzRcKvm/iGS+tPiodOP3Hkx4kfvf3HiHc5YkmjnWzq67vYKj+mvOfKVY3ed1YSN/WdFRe7n9o4TvUljm0LjH9O9R1fKlutAL5WoswzvvWumnGvLTXGl3Gv1Wr+HOPbvNT+5GD80O62JH7j2id10ivV1zf+5eav0bZK9R0tqV9rUuPVVYj1JV5duW69ZsKg5e0lH0TfgwmDURVt5xfb6dl3pvOzEnHPTX3jSu1uKt+JvuaifVNf+UGu9ResHgJMmawYKqDHL5r69phiaNdyxXGqL3E81By1L1J9awtkw5AAvkMc2V/g6yfVjnttqbG+jHutWLPnWN9mpXY/NeOHbrQh8Tu+nZj0Gu8z7a3E73ALaON1uDRjYn194wfNdQ+3HrwuJ8CEQTnbLCXLh9D3YMJgWEXb+cV2dsPvarb/kOzo17vQ+blK8QeT0Zz9XePGbMx3tdZppMSv3DH4vyuXD/2Fg6YOdXXrw/oU3z7sd8w+5IhjjS9xHG4ljW+4dFLgWzYG8PX7un2vpEqZ9G/qy7jX3x51a5v61pXTx/VuDKeMQTW+jB/CUaXxDZfe/RTaSS+tLzfNjI8hre/40ru3VRuv7h439SVeXcFuvGavU5dFAABAAElEQVTCoKad5HcNvvnNb5qFCxeaPfbYwzz5yU+uSVl2tXwQfQ8mDOZVcnV+TTs9WwM6Pysx/jnVd3yp3dzqO+FOOdEf3PsUX99nR1uPwTr1aTnFt0/779uXnHGs8SWOfa0zvE7jO1wSr3wC+PpU8q3Dd9jS1+dpblZp6su4d7g9Qq+a+obK68N2xg/daUXit76tmPSqt2nLFuJ3viVyxOt8aTuWmvgySevqdeM1EwY17fShD33IvO1tb6u2Xn/99WbJkmbfK15lVizIh9D3YMJgXiVH59eks5t/5x1LdH6uyOhrje9oad1f88jKM82GKy6rdkRzoi+FaHxz16XaqR4taHx7xDCyK7liJ4dvrrqM7GQPVuTw7QFDsV3AtxjtXMH4jvrmGPfaUlN8GfdavfBzim+41O6nyHXMzuGbqy7db5XRPcjhO1pqP9bkmPTK4eubQObmrx0xlsO3H9Hq/1YMbZyk+BKv3YsoJgxq2uyss84y55xzTrX1i1/8ojn22GOr15NakA+i78GEwQ6VHAdr65vS6dm8dH5Wov5Z41tfaje3/OzIJwxVfNHlV5kF+x0wtK7pi1RfOfF/8GXHVG8nP5q1aO3V1WsWdgik+vbZL2cca32J4/GRpvUdXzpb8S0bA/jO++Yc99pSU3wZ91q98HOKb7jUbqdg/NCd9iN+/W2Va6Iph2+uuvj3tNtrc/h2W2BH7UvFSIpvqbr0oZ3auA9MGNS0ChMGNTAtW52rw0np7FyKXHVxy+3D6xy+fXCQffCdZP/quu+rdk/r696tqL3jQLUzLcys9W3hLqmrlDOOc/kSx/5mzeXrL521+JaNAXyHfXOPNTW+uesyvKf9eKXx7YfA6F4wfhg1aesa4re+ZXJMeuXy5aYZfzvl8vWX3q21OeLV3eNUX+LVlWz3ayYMatqHCYMamJatztn5pXZ6loTOz0r4n7W+/lK7t9Y9wd79tDPM7svOUO+Ixte9Y1H7FUnqnWlhARrfFu6Oukq54ziHL3Fc36w5fOtLZwu+ZWMA33nfnONeW2qqL+NeKzj+OdV3fKnd3cr4oVttR/yOtheTXqMmbV1D/Ja5WdG2d6ovN3lZwfY/M2FQ00ZMGNTAtGg1B+sWNUagKqkHk0CxndzsnijtueIDZrfjl6r2RevLhdbx/Frf8aV3c2vOOM7lSxz7YymXr7901uJbNgbwnffNOe61pWp9Oem3kv5nra+/1G6vZfzQnfYjfv1t5cZw6s1fOX0ZA4+2VU7f0dK7syZXvLp7rPElXl3N9r5mwqCmbZgwqIFp0ercnZ+m07MsdH5WYvQ5h+9oqd1b8+Dxzzdb77+3qniO3y+QwjS+7kWInQ9fYvY6f01VRxZ0vn30yx3Hmvi1vsSxlRh9zuE7WiprrAC+VqLMM747XHOPe21raXwZ91rF+meNb32p3d3C+KFbbUf8jraX2xdrbv7K5UtfPNpOsiaXr7/0bqzNGa/uHqf6Eq+uZHtfd2rCYNmyZWbNmslcxNq4caPZtGlT1XL86HFF0ZqFnJ1famfnYtD5uSI7Xufy9ZferbW5T5Rk77W+fK3A+BjS+o4vvZtbc8ZxLl/i2B9LuXz9pbMW37IxgO+8b85xry1V68u410r6n7W+/lK7vZbxQ3faj/j1t1WuGM7py00zo22V03e09O6syRWv7h5rfIlXV7O9rzs1YfCMZzzDrFu3biqaTBhMhX3sm+bu/DSdnq0onZ+VGH3O4TtaavfWuN8/rP3BYyug9S1VL1u/rj9rfbu+/279c8dLLt/c9XL3u6uvc/l2df9L1xvfssL47vDNPe61rabxZdxrFeufNb71pXZ3S+7jdC7f3PXqbgsN1zyX73Cp3X6Vsy/O5ctNM/6YyuXrL70ba3PGq7vHqb7EqyvZ3tedmjA47LDDzC233DIVzbZNGAjCtm3bqjuL7Yd1lp4fOO7oka92Wbj/gVN1OWi3XcxNhxxUxejdGzebp337zplup1mPU3f/2xi30m/89IjHV3ErCzKRMUv9idtOvB5/fCGOx/sQP/jQf+401fFYH/3b2O8y7iXOmx7v2hjHjIOJ4yZx7E4u/dq37mjF8a6t9erj8bhJvEx7/0vHxdAFhAYv3HrluomyQRVIGiHQqQmDo48+2lxzzTURu5U/SdsmDLrUSZXqJN1OhoM1g70ufC7W/s4B5rmPflTVSb3s9vvMtQ/9YqoX5zeuu948vOzEqk7yGwaPueDiVgx+S/UflKvrL4hjnR/xh18XjlfEabvilHFvu9qDz0daezB+SHMj3trjxqQXN4V06fM4iXitLiI0WHDHNEwYNMCbYNJOTRhceOGF5tRTTx3iWbx4sTnqqKOG1uV4cfPNN5tbb721KqqNEwZV5WZ0IeefV9lOPwclnd+oYk7f0dK7teah0080m2+8oar0o89bY3Y5Ykn1OmVB68tXCoxX1/qOL72bW3PGcS5f4tgfS7l8/aWzFt+yMYDvvG/Oca8tNYcv416rOfqcw3e01G6vYfzQnfYjfv1tlSuGc/oyBh5tq5y+o6V3Z02ueHX3WONLvLqa7X3dqQkDYXzxi19svva1r1Wihx56qLnxxhvNwoULq3U5Fs466yxzzjnnVEUxYVBRtGYhd+en6fQsCp2flRh9zuE7Wmr31rg/Wrjbca80e65cpd4Rja9bp91PO8PsvuwMdZ36VIDGt08Odl/cmNHGcQ5ft07EsW0t/Q+jz5fEkk8gR/z6ymXdDgF8dzjkHvfa+NL4Mu61ivXPGt/6Uru7xT1WM35od1sSv6Ptk7MvzuVLXzzaTrIml6+/9G6szRmv7h6n+hKvrmR7X3duwuCOO+4whxxyiFm/fn2lunr1avPmN7+5ep1jgQmDHIply8jZ+aV2du4e0vm5Ijte5/L1l96ttRvWXmoeOXt5VekF++5vFq29unqdsqD1de9a3HPFB8xuxy9NqUov82h9+4iSM45z+RLH/kjL5esvnbX4lo0BfOd9c457balaX8a9VtL/rPX1l9rttYwfutN+xK+/rXJNeuX0devETTNMFtjodWNDO0lry9XEr1sn4tWqtu+5cxMGQnjuueeaM888s9JctGiRue2228w+++xTrdMuMGGgFSyf3+1otJ2fptOze+vWic7PynDQthJb77vHPPiyY+zLuedpfi2Rrz58h+BQ88y9yNE/jJba3TW+uNHEsdbXVx/ieD6+tL7zJbHkE8DXp5JvHb47LN0xpnbca1tI4+vWiXGvVZ1/1vjOl9KfJd/xmvFDe9uX+B1tGya9Rk3auob4NSZnvLrtnOrLTV6uZHtfd3LCYMuWLeaZz3zm3FcRWVr5bYNPfOIT9qX6mQkDNWHxAnJ2fqmdnbuTdH6uyI7XuXz9pXdvrXuXoPakX+Obuy7da41wjTW+4dK7myJX7OTwzVWX7rZGfc1z+NaXzhZ8y8YAvvO+Oce9tlStL+NeK+l/1vr6S+3+2lzH7By+uerS/VYZ3YMcvqOldn9NrkmvXL6++nDTDDcr2k+aLz40k7S23NT49dWHeLWq7Xvu5ISBMN50001zkwabN2+eU5WAve6668yznvWsLMpMGGRhLFqIr7PRdH6pnZ7dSV996PysDgfteYnRmX7ZpoldyZ8Sv+5XCeSoh5TRx0eKbx8dBvfJvXgl21LjWONLHA+2in9Z4+svkbWDAvgOauRfxneHqW+cmdrnDrZSqq+vPox7B2V3LKf6jpbUnzWMH7rTlsSvv61yTTTl8M1VF/+ednttDt9uC+yofakYSfEtVZc+tFMb96GzEwaCuXz5crNq1fyPhS5dutRccsklWZyZMMjCWLyQXB1OSmfn7lyuurjl9uF1Dt8+OAzugxsvOx++xOx1/prBJNHLqb456xBd2Q4mTPXt4K42rnKOGNL65qhD4x3vUAatb4d2dSpVxbcsO77Dvm5/x18oDvu07RXxW98ibiynjIO1vjnqUL+H3d+i9e2+QP0e5Jj0yuHLTTP1bZTDt770bm3JEa/uHqf4Eq+uYvtfd3rCQH74+DWveY35xje+YRYsWGBe/epXG/kB5ByPdevWmb/4i78wDzzwgDnwwAPNBRdcYPbee+8cRTcqQz6Ivse2bdt8q2duXc7OL6XTs+B0flai/lnjW19qd7f4Ykbz3b9Nfd2TJJHMcadid1tkfM2b+o4vrT9bc8Vxqi9xHBdLqb5xpZMK37IxgO+8b85xry01xdfX9zOGsKLDzym+wyX085UvhlLGwam+jB/i4irVN670bqdyY4hJr/a1J/E73yY54nW+tB1LTX1L1MGtE6/zCnR6wiAvRTtLkw+h78GEwbxKjo6naWc3/+47lnLUwS2zT6+1vn2yGNwX98cCZdskTpZ8J2nauxQH96tvy8Tv+BbVxnGqL3E8vl3s1lRfm5/n8QL4jvfRbsV3VDDnmDPVN2cdRvewP2tSffsjMH5PGD+M95n2VuJ3fAv4xqFNzuO0vm4/LLVl4na+zbS+8yX1Y0kbr65CU1/i1RXsxmsmDFreTvJB9D2YMJhXydX5Ne30bA3o/KzE+OdU3/GldnurfP/vQ8tONFvvv7fakQX77m92O26p2X3ZGdW6mIVYX9/nRd5z0dqrY95mZtPE+s4iUI44bupLHDeLtKa+zUonNb5lYwDfYV9f/9fkItVwac1/A4lxrys4/jXxW+/D+KHepi1biN/xLcGk13ifaW8lfodbQBuvw6XFjx984xZuVnQ12/maCYN2tktVK+nkfA8mDIZVtJ1f6sGEzm+4HepepfrWlden9b4fDZT9a3IQjfX1neTLe3E3iijUP2J960vo/xZNHDf1JY6bxVNT32alkxrfsjGAr99XO+61pTb1Zdxr5eKem/rGldqvVIwf2tuexG+4bTSTXqm+vn6Ym79G2yrVd7Sk/qzRxKurEOtLvLpy3XrNhEHL20s+iL4HEwbDKjk6v9hOz74znZ+ViHtu6htXaj9S+WJJ9kwGf3uuXGV2OWJJcEfH+Ur5cnFh8C8ZbIFMFliJ8c/jfMfnnJ2tmjiO8SWO02Mpxje9dHLiWzYG8B31zTHutaXG+vr6eC5SWcX651jf+hL6v8UXW7LXMePgGF/GD+kxFOObXno/ckp//ODLjhnZmZibv5r6ctPMCPPYFU19xxbWk42aeHUJQr7EqyvWvddMGLS8zeRD6HswYTCqoun8Qp2d+250fq7I+NdNfceX1s+tdSdLsrfyI1ryFUV1Ewd1vlLm+vNWm8033uBFY7LAyzKyss53JCErTEoch3yJY11ghXx1pZMb37IxgG+9r2bca0uN9WXca8WaPcf6Niu1n6kZP7SvXYnf+Dapi99xk15NfKV8bv6Kbw9J2cS3WcndT50Sr+5ej/MlXl2t7r5mwqDlbScfRN+DCQOfiqm9WDXuYG1LGtfp2TR0flai+XOMb/NS+5VDTv7d3zQY3EOJY5k02PX4pXOrF25/vWC/A+aWD9ptF/P96641Usbm7YPKDVdcNph1aFkmIH5l5QeqvEMbeeEVIH69LN6VKXG8cP8DjRzXJO+W7b/pQRx7aZNXEr/JdFEZ8Y1iSk6Ebz0dJ/31Nm3ZQvzGtwTjh3irSaUkfuOl6/pjKaHu5q+Qr5TJzV/xbeCmDPm66WfpdUq8uj6uL/HqCnX/NRMGLW9D+RD6HkwY+FR2rEvp/NzOzi2dzs8VafY65NustH6nlpOl9eevHnvBXyMQ8+exmvL7mJf4bd6qxHFzs1I5iN9SsjvKxRffsgLh0lPGvbbUuvhl3GuFdM91vrpS+52b8UN72pf4bd4WTSa9XvCCF5j/+N7t1Q1ckpebZpqb1+Ugfutk5tc3iVfJxc2K83azssSEQctbWjo634MJA5/K/LqUzo87XOf9Sixx0G6mKjH8vyuX136dULPSdtzZwl8VNFWbT0/8zls0WSKOm2iVS0v8lrOVkvHFt6xAuPSUcS9/oRh2zZGC/iFNkfFDmlvuXMRvc1GJXW7+au5WIgfxG1YlXsNGs5yCCYOWt750cr4HEwY+leF1dH7DHtN8xcE6Xd+eMEkJdb9FUFe6/Qqj3U8/o7p7pS4t6+sFiN96m9gtxHGsVP50xG9+08ES8R3UyL+Mb7wp4954q0mlJH710owf9IapJRC/qXI78tnYbXr+VveufKVsnYx/PfHrd6lbS7zWycz2eiYMWt7+0tH5HkwY+FT86+j8/C6TXstBWy8usSxfEyC/UbDlvu3f837/Pdv/3TtX8N0bN5vFz3quWbjf9t812PcAs/ORS2p/JFlfk9krgfjN1+bj4lgmuSR+ieN83lIS8ZvX0y0NX1ck72t8m3ky7m3mVTo18ZtPmPFDPsvYkojfWKn6dLZPlhRNJw+4+aveNWYL8RujNJyGeB32mPVXTBi0PAKkk/M9mDDwqYxfR+c33qfkVg7WJXW5GFhWF198SwuULZ/+F9+yAmVLJ37TfRn3ptvlykn85pL0l4Ov3yXXWnxzSc6XI/2yvfnrys9cbJ73xMdXN39x08y8U44l4levOBiv3Kyo9+xiCUwYtLzVpKPzPZgw8KnErxvX+XGwjndskpKDdhOt5mnxbW7WJAe+TbSap8W3uVmTHPg20WqeFt/mZk1y4NtEy5923LiXv1D0m+VaS/zmkvSXg6/fJddafHNJ+svB1++Say2+uST95eDrd+nTWiYMWt6a8iH0PZgw8Kmkr6OzS7eLyYlvjFJ6GnzT7WJy4hujlJ4G33S7mJz4xiilp8E33S4mJ74xSulp8E23i8mJb4xSehp80+1icuIbo5SeBt90u5ic+MYopafBN92uSzmZMGh5a8kH0fdgwsCnoltHp6fzC+XGNySk246vzi+UG9+QkG47vjq/UG58Q0K67fjq/EK58Q0J6bbjq/ML5cY3JKTbjq/OL5Qb35CQbju+Or9QbnxDQrrt+Or8upCbCYOWt5J8CH0PJgx8Kunr6OzS7WJy4hujlJ4G33S7mJz4xiilp8E33S4mJ74xSulp8E23i8mJb4xSehp80+1icuIbo5SeBt90u5ic+MYopafBN90uJie+MUrpafBNt+tSTiYMWt5a8kH0PZgw8Kno1tHp6fxCufENCem246vzC+XGNySk246vzi+UG9+QkG47vjq/UG58Q0K67fjq/EK58Q0J6bbjq/ML5cY3JKTbjq/OL5Qb35CQbju+Or8u5GbCoOWtJB9C34MJA59K+jo6u3S7mJz4xiilp8E33S4mJ74xSulp8E23i8mJb4xSehp80+1icuIbo5SeBt90u5ic+MYopafBN90uJie+MUrpafBNt4vJiW+MUnoafNPtupSTCYOWt5Z8EH0PJgx8Krp1dHo6v1BufENCuu346vxCufENCem246vzC+XGNySk246vzi+UG9+QkG47vjq/UG58Q0K67fjq/EK58Q0J6bbjq/ML5cY3JKTbjq/Orwu5mTBoeSvJh9D3YMLAp5K+js4u3S4mJ74xSulp8E23i8mJb4xSehp80+1icuIbo5SeBt90u5ic+MYopafBN90uJie+MUrpafBNt4vJiW+MUnoafNPtYnLiG6OUngbfdLsu5WTCoOWtJR9E34MJA5+Kbh2dns4vlBvfkJBuO746v1BufENCuu346vxCufENCem246vzC+XGNySk246vzi+UG9+QkG47vjq/UG58Q0K67fjq/EK58Q0J6bbjq/PrQm4mDFreSvIh9D2YMPCppK+js0u3i8mJb4xSehp80+1icuIbo5SeBt90u5ic+MYopafBN90uJie+MUrpafBNt4vJiW+MUnoafNPtYnLiG6OUngbfdLuYnPjGKKWnwTfdrks5mTBoeWvJB9H3YMLAp6JbR6en8wvlxjckpNuOr84vlBvfkJBuO746v1BufENCuu346vxCufENCem246vzC+XGNySk246vzi+UG9+QkG47vjq/UG58Q0K67fjq/LqQmwmDlreSfAh9DyYMfCrp6+js0u1icuIbo5SeBt90u5ic+MYopafBN90uJie+MUrpafBNt4vJiW+MUnoafNPtYnLiG6OUngbfdLuYnPjGKKWnwTfdLiYnvjFK6WnwTbfrUk4mDFreWvJB9D2YMPCp6NbR6en8QrnxDQnptuOr8wvlxjckpNuOr84vlBvfkJBuO746v1BufENCuu346vxCufENCem246vzC+XGNySk246vzi+UG9+QkG47vjq/LuRmwqDlrSQfQt+DCQOfSvo6Ort0u5ic+MYopafBN90uJie+MUrpafBNt4vJiW+MUnoafNPtYnLiG6OUngbfdLuYnPjGKKWnwTfdLiYnvjFK6WnwTbeLyYlvjFJ6GnzT7bqUkwmDlreWfBB9DyYMfCq6dXR6Or9QbnxDQrrt+Or8QrnxDQnptuOr8wvlxjckpNuOr84vlBvfkJBuO746v1BufENCuu346vxCufENCem246vzC+XGNySk246vzq8LuZkwaHkryYfQ92DCwKeSvo7OLt0uJie+MUrpafBNt4vJiW+MUnoafNPtYnLiG6OUngbfdLuYnPjGKKWnwTfdLiYnvjFK6WnwTbeLyYlvjFJ6GnzT7WJy4hujlJ4G33S7LuVkwqDlrSUfRN+DCQOfim4dnZ7OL5Qb35CQbju+Or9QbnxDQrrt+Or8QrnxDQnptuOr8wvlxjckpNuOr84vlBvfkJBuO746v1BufENCuu346vxCufENCem246vz60LumZww+OUvf2k+8pGPmOuuu87ceOONZvPmzWbvvfc2T3/6083hhx9uXvKSl5gnPvGJrWg/+RD6HkwY+FTS19HZpdvF5MQ3Rik9Db7pdjE58Y1RSk+Db7pdTE58Y5TS0+CbbheTE98YpfQ0+KbbxeTEN0YpPQ2+6XYxOfGNUUpPg2+6XUxOfGOU0tPgm27XpZydnjB48MEHzbe//W3zne98x3z/+983j3nMY8wTnvAE85SnPMUcdthh3na44YYbzCmnnGK+973vebfLyt12282sWrXKnHHGGbVpJrVBPoi+BxMGPhXdOjo9nV8oN74hId12fHV+odz4hoR02/HV+YVy4xsS0m3HV+cXyo1vSEi3HV+dXyg3viEh3XZ8dX6h3PiGhHTb8dX5hXLjGxLSbcdX59eF3J2cMNi6dav54Ac/aM466yyzYcMGr/Pzn/988573vMc873nPq7bffPPNZsmSJWbjxo3VunELxx13nPnUpz5lHvvYx45LVnSbfAh9DyYMfCrp6+js0u1icuIbo5SeBt90u5ic+MYopafBN90uJie+MUrpafBNt4vJiW+MUnoafNPtYnLiG6OUngbfdLuYnPjGKKWnwTfdLiYnvjFK6WnwTbfrUs7OTRg8/PDD5vd+7/fmvk4oBC1BfPHFF5vXve51Rr6G6MgjjzTf/e53Q9mGtp922mnm/PPPH1o3yReyD74HEwY+Fd06Oj2dXyg3viEh3XZ8dX6h3PiGhHTb8dX5hXLjGxLSbcdX5xfKjW9ISLcdX51fKDe+ISHddnx1fqHc+IaEdNvx1fmFcuMbEtJtx1fn14XcnZsweOc732k+8IEPRNvusssu5qtf/ercbxX82Z/9WXQ+m3DhwoVzX3v05Cc/2a6a6LN8CH0PJgx8Kunr6OzS7WJy4hujlJ4G33S7mJz4xiilp8E33S4mJ74xSulp8E23i8mJb4xSehp80+1icuIbo5SeBt90u5ic+MYopafBN90uJie+MUrpafBNt+tSzk5NGPzgBz8wcuG+7muI6uB/93d/d27Tl7/85aEkL3zhC81rX/vaud87kN9DkB9BPvfcc80vfvGLoXTy1URr164dWjepF/JB9D2YMPCp6NbR6en8QrnxDQnptuOr8wvlxjckpNuOr84vlBvfkJBuO746v1BufENCuu346vxCufENCem246vzC+XGNySk246vzi+UG9+QkG47vjq/LuTu1ITBO97xDvPXf/3XI64vetGLjEwKPOpRjzK33nqr+cIXvmDuvffekXSDK97+9rfP/aXCggULBleb//qv/zInnHDCyFcX3XXXXeZxj3vcUNpJvJAPoe/BhIFPJX0dnV26XUxOfGOU0tPgm24XkxPfGKX0NPim28XkxDdGKT0Nvul2MTnxjVFKT4Nvul1MTnxjlNLT4JtuF5MT3xil9DT4ptvF5MQ3Rik9Db7pdl3K2akJg+OPP95cccUVla9c7F+zZs3cbxRUK7cvyF8LyG8PXHLJJYOrq+VXvepV5l/+5V+q1+7CDTfcYJ797GebwYvyX/nKV8yLX/xiN2nx1/JB9D0G6+bbzrrmAnR6zc2a5MC3iVbztPg2N2uSA98mWs3T4tvcrEkOfJtoNU+Lb3OzJjnwbaLVPC2+zc2a5MC3iVbztPg2N2uSA98mWs3T4tvcrEkOfJtoNU+Lb3OzruXo1ITBk570JHPbbbdVxm95y1vM3/zN31Sv3QX5ceQvfelL7mpz0003zX0N0ciGgRWvec1rhiYVPvKRj5g3vvGNAykmsygfQt+DCQOfSvo6Ort0u5ic+MYopafBN93Ozbn1vnvMhrWXma3332O23Hfv3PPW++81C/bdfy7pgn0PMAv327G86/FLzS5HLHGL4HVDAeK3IVjD5Pg2BGuYHN+GYA2T49sQrGFyfBuCNUyOb0OwhsnxbQjWMDm+DcEaJse3IVjD5Pg2BGuYHN+GYB1N3pkJgy1btpjdd9/dbNq0qaL+4Q9/aA4++ODqtbsgX0902GGHma1bt1abjjrqKHPNNddUr+sWPvzhD5u3vvWt1eY///M/Nx/84Aer15NakA+i78GEgU9Ft45OT+cXyo1vSEi3Hd90v03fusFsXneD2XDFpdsnCMZ/nZ37LjKRIJMGTB64Ms1eE7/NvJqmxrepWLP0+Dbzapoa36ZizdLj28yraWp8m4o1S49vM6+mqfFtKtYsPb7NvJqmxrep2Hz6mJvo/vErXzUnn3wy58HzbL1b6syEwfr1680ee+xRNYBMHjzyyCNGOoFxj+c973nm2muvrZKcfvrp5rzzzqte1y38+7//u3npS19abX75y19u/vVf/7V6PamFuv1jwiBvC3AwyevploavK5L+OubgzR3wcb5iuf781dsnCi6LyzAmlZ042P30M8yC/Q4Yk3K2NxG/k29/+t+y5vjiW1agbOnEL75lBfKXPjiOuPIzF5vnPfHxczd78JegOutBV/7CVmcZm5v+N1YqnI74DRvFpLA30a2/YHVM8qE09lyYm+iGWDr/ojMTBiK91157mYcffngOPXbC4A1veIP5xCc+UTXUX/3VX5l3vetd1eu6hSuvvNLIjynbh/x+wuWXX25fTuxZDiS+BxMGPhXdOg7aOr9QbnxDQvXb7cGbO+DrjZpuWX/eapMyGAq9jx0s7blyVSjpzGwnfqff1PS/ZdsAX3zLCpQtnfjFt6yAvnQ7jkgZt9lxGRexRtvBunJ+MWozqTX0v+nSxG+6nZtTLDeuvTTLTXRS9m7HvZK/OnCRO/q6UxMGv/M7v2Nuv/32ijr0lUSS8H3ve9/QBMGnP/1pc9JJJ1Vl1C188pOfNH/4h39YbZblf/iHf6heT2pBDiK+BxMGPpW4dcxAxzmlpsI3VW40n1hyB/yoi3bNQ6efaDbfeENtMTLIkd8q2PnIJWbh9q8cWrj/gWbLvXfPpd+y/SuLbIyPK2Pnw5eYX1n5gZn+awPitzbEsm+wMen77Y277rrLLH7Wc/ntjQzq45yleH7jJA15nCvxm2Yam4uLVbFS4XTj4lhy0z+EDd0UXMRyRfK8lljl/CKPpaYU+t80PeI3za0u1yMrz8w2UTD4HnaylpvoBlW6t9ypCQP5WqDBu/zlov4pp5wyVv2jH/2oedOb3lSl+exnP2te/epXV6/rFv7f//t/5r3vfW+1+Z3vfOfc5EO1YkILTBjkgWYGOo9jXSnWlzt/6oSar+cO+OZmoRwSpzIo8v1OgVzg3+34V27/t9RbjG9QLwNWKVN+JNk3eSADJRkkzeIPIxO/3jDKupJ+NytnbWHWmTswa4mSNuCaxJacadzFbCZlklnnxgD8BlK637icXMQap5O+jfFZul2JnL7zixLv05cyid98LSnjMPH0ncPad3FvopOv3ZXxhDzkJrqTj32J+dgrjx9bhpwP73Xempm+ic56dvG5UxMG559/vlm2bFnlfPjhh5tvfetb1WvfQuqEwaGHHmrkR5PtI2ZywqbN+cyEgU6TGWidXyi3HGj487WQUvPt3AHf3CyUQ2L14WUnjiSTQYz87kDdRIFkiBnMb9j+Z5xyt5Y7GTGLkwbE70iYZV1Bv5uVs7Ywxg+1NKoNuKr4GmWWvkIuZnMzRyO2qMTEcRRTUiKJ29iLWC95xzvNf3zv9rkLUdIm8oj9S9BZvIjF+CwpJItlijm/KPbmHSyY+M3XaHXnxfIOoZvobC0G41f6Xylz3E10ofNtWy7P7RLo1ITB/fffbx73uMeZzZs3V4ry48S///u/X712Fz7+8Y+b0047rVotP1wsf6kw7iETBTJhMPiI+fqjwfS5lpkwSJdkBjrdLiYnd/7EKDVLIwda7oBvZhab+sHjnz9yMV8GRHudvyaqiMFBUV2GugsIs3JSSvzWRUa+9fS7+SzHlcT4YZxO+jZc0+2a5JS+mJs5mog1S0scN/Nqklpi13dzh5RRdxFr3PiMi1g79BmfNYnCyaYdF7+TrUl73434zds2df2s9LG7Lzuj0V/G++JXbqLzTRzE3KSXd08pLYdApyYMZIfdHzF+4hOfaL797W+b3XbbzevxyCOPzP3o8U9+8hNz0EEHmZNPPtnsvPPO3rR2pfsev/3bvz302wk23SSe5UPoe/AbBj6V+XXMQM9b5F6Sg4ycLDX587WU74CflYustn3qDt4xB1ffwdqWa59n+Q54X38gf2IZ+52KMb7WWU5OZZDk3tHZZHLCltWlZ+K3bGul9Lv2z4YXL15svn/dtVG/vTFr/a6v1Xz9xWA698+zU45v0h/M2m+cNHVNid9ZdB2MTVlmUtEVyfu6aRzTP8T7140jxl3EajI+m9WLWHWunF/Ex2aplE3it1Qd2l4u8Zu3heo8U85Tx8XvrN9El7fVplta5yYMfvSjH83d/f/zn/+8kov9IeMqw5iFH/zgB0Z+XHnwrxhWrVpl3vGOd4zJVW6TfBB9DyYMfCpm7k+huEPbb5Njbd1BRsqWA02J74CflT9f4w74HBE6Wobv4kmTyQJb4rhBkU0z+Oy7AzHlfQfLbPMy8VuudTT9rq3VYPxyx6VVGX4WZ8YPwyY5Xmlc7fs3jd9Z/O0YcW56M0fKpMysTipq4ngwfm1Mx/TDsxTH4uv7y4KYi1g+X+vsPs/iRSzGZ24UtOt1k/htV80nUxviN6+zz3PPFR8Y+9W842oQil+ZqH3k7OVDRczqOGIIoUMvOjdhILbXXnut+dCHPmRk0mCPPfYwK1asMEceeWQW9ne/+91z5dnC9tlnH3PbbbeZRYsW2VUTfZYPoe/BhMGoSt1gkzsoRq1S1tT5jrvzx75P6GAi6Wb1zh/Zd98da00uLsf4yvvIQ06WZuUOeNnXB192zNx+2/9iTj5tWvvcxNfm8Z2U9nWARPzaVs//rOl3bW3Gxe8s97vWR57rnBk/DCo1X9a42ncLxS+/HVMfv2LIzRw2ktKfNXE8Ln5tjaQfnvU4Tr2IFeNrnQefZ+UiFuOzwVZv33Jq/LZvT8rUiPjN6+rzfPT2HyPe5YglSW8UG7++/rbJdY6kypEpm0AnJwyy7b2noNtvv91cdNFFc5MRMknw+te/3jz5yU/2pJzMKvkg+h5MGIyq+AabTS4OxnR6vouAUpO+Xgi0ynUnS/haofRn7oBPtwvldG3lc7po7dWhbN7tMf2Dm1H6i4e2/9Dy4A8h922A5BqLQco+NvWdhb/gyNHv2pgc5zurxzVrI8+MHwY18i1rXW1NiF8rMfo8rp+I/S7icb5MKtI/jEZd3jXai1jj4ndcTft+EYvx2bjWb8+21Phtzx6UqQnxm9fVN1ZIOV9zaxUbv77zNs1khVsPXpcTYMKgnG2WkuVD6HswYTCs4htsNukEYzs7eVe5uDIrd2hbZd9Jf5M/X2viK+/pG8T3cVJGYok74G2U5X322TaJ2cHaNI3fwbxuLEsc9+VrBnzGTSYRrVOKr7y33JG54YrLbDG9m7jV9rsWJtbXjVXJ38d+17rYZ8YPViLvs9bV1iYmfqU/mLVxmfj4LgDI+ib9cKyv29/K+9A/iML4R4yvLWEW49gXw6XO36zz4HNfL2IxPhts5fYuN+kf2rsX+WtG/OY3dcdkTcYJdbVpEr/Spv+7cvnQb2DmqENd3VifT4AJg3yWRUqSD6LvwYTBvAoz0PMWJZbcA4y8R8qMcJODiryH7+JVk5MIKaPtDzd25eSbO+DztFpOW6lR0/gd3Av3M9SXOM5pnOIrg8++/gWHGzMSTyn9ro3DWN9Z6HetiTy7MSzrUj6fsb5Svjx8F6lS3ndHae37P5er3bNY3767Wg/7zKSilSjznCuOY+PX7sUsxbF7rEu5gNTU1zrLc18vYrmxy/nFYKu3a1kTv+3ak3y1IX7zWUpJvrG95pxisHZN4tc3QZyrHoN1YjmvABMGeT2zlyYfQt+DCYMdKsxA+6Ij3zpfx55yUaPJwWSw9r6Tpr4cWHyxyx3wg62vW3YvpKTaSi1S49fugTtQ05y42TKn/Uz8lmuBXP2urWHT+O1zv2tN5NkXw5O6WCXv7d6x3Ze7tXO52rZqEr99drUe9tm90CrrU8ZHTXzlPdzjmaxLGRdKvjY/csVxU18xmZU49sVS0xhO8XXjznfMbVoPt8xpvvbFbuoYWOPrtq8c4/ryF7a52lfjm6sObSuH+M3fIu4ETK5jdkr8lqpLfjVKtAJMGFiJlj7LB9H3YMJgh4rb6WguxKV0enJQ6+sdriLsnpCmXEyx8Zvq29c/X8sZu2Kc4mvbxm3nXAMJW/6kn32DzV9d931VNTS+vvp0+WRUIIlfVTiNzex+HjX9rn2jJvEr8drXftd6yHPOGG7ia+vQ1/FDTldr1cS3r67WQp59Fzg1x+0mvvL+szCpmDOOm/qK8SzEsWucGsMpvmI8+MhVl8Eyp7Xs7ovm3Fj2QePrjmdS23halpN4X43vJOo36fcgfvOL/+zIJwwVuujyq8yC/Q4YWpf6omn8yrFt8OuYtf1Tar3JFy/AhEGN1datW803v/lNs3DhQrPHHntM7YeP5UPoezBh4L87kDsofNGSts69M0RKSb3I2fRgMlhj34lxaj0Gy532MnfAl2sB92KG9gRFE792L/t20kT82pbN+5yz37U1S4nfvva71sQ9YZH1jB+sTvpzTldbi5T4dT9Hfbuz1T2eaCYVU3ylnfs8qZgzjlN8bez3PY5zXMTS+FpneXbbvMsXsRifDbZsu5dzxW+797JZ7YjfZl6h1L7xvPYmOvueqfHrjmH6cF3HmvTxmQmDmlb90Ic+ZN72trdVW6+//nqzZMmS6vWkFuSD6HswYZD37kAxTu30JK/b8WkvUEqZ0364M/zafdL45q7LtG3dExOpj/bgrfH11afLB283XlIvBA7GicZXynFP/LWfp8G6TXrZFy/Eb55WcGM3V5ykxG+puuSR0pXi7pv24lCKr92DPo0fcrtaoxTfPrlaB3l2jyWyTnu8TvH1XYTQ1kP2pQ2P3HGc4msd+hrHvvhJHUdofK2zPLvWXYxnxmeDLdqN5Vzx2429HV9L4ne8T8pW93i2+2lnmN2XnZFSlDdPSvy645hc5zreCrJSLcCEQQ3hWWedZc4555xq6xe/+EVz7LHHVq8ntSAfQt+DCQNjmIH2RUa+dTnu/LG1STmY2Lzy7A4gtBd3BsuexjJ3wJdVz33Sp41f2Vv35FhzR2hZvXDpxG/YKDVFzn7X1iE1fvvW71oPeWb8MKiRbzmnq61Vavy6J6RdHzdYD/fkX3uineor9cldF7uP037OGccaX3GYlThOvYil9R2MNdda+9kaLHtSy4zPJiWd531yxm+eGk23FOI3v797nM5xE52tZWr89qGvtQaz8MyEQU0rM2FQA9OS1e6FDKlW6p0pdpdSOz3J76tPF+9MsRbuxU1ZP01fef/cF4GlzGk9Shy8NfErDn06eLsn+zm+q1Hr6/YRXb54RfyW6TlK9Lu2pqnx26d+11q4n0VZP83jm68+XRw/+PZD62rbLCV+ffXpoqs1sM9MKlqJMs++uNHGcUr82r3z1acPcZxzHKHxtc7y3IdxcE5Xa6P17YOrtSjxrPUtUadplUn85pcvcU48WMuU+HXPd7p8E92gRV+XmTCoaVkmDGpgWrKaGeiyDeEesFPv/LG1TDmY2Lz2uU8DztwX4XL49ung7V5QmebJvo1f96S/yxMGxK9t1bzPuftdWztN/9Cnftd6MH6wEnmfc7va2mni1+2runjHsHWQZ/c4LeumfXxzjbt+MTt3HGviV9pXHq5x1+NY9inXRawcvlIfebifry5exHJjRft5zOHbB9cdEZL//xy++Ws1vRKJ3/z2ufpaX81S47dP58Q+l76tY8KgpkWZMKiBaclq98JKjj+vSu30LEmfLqzga1u1zHOJg7c2fvt08M49YSBRoPWVMkrUS8qd9IP4LSNeot+1NU2N3z4d16xFCedUX1unPjiXcLU+qb59cLUG8uwaa2/msGWn+kr+vhtzfmGjJO9zznGEJn4H96oP4+CcrtZG69sHV2tR4lnrW6JO0yqT+M0vX/rcMzV+S9crv+TslsiEQU3bM2FQA9OS1cxAl22I3Afs1IPJ4F726Q6V3AfJHL59GtC3MX775Ev8DvZM+ZZzx62tmaZ/6FO/az0YP1iJvM+5XW3tiF8rMTphwMXseZtcS7njWBO/dp/62A/nGkfk8LXO8pyrXoNlTnI5d/1z+PZp/Ju7LXP45q7TNMsjfvPrlzq3kJpq4jd3W+eXo0Qr0KkJg2XLlpk1a9bYuhd93rhxo9m0aVP1HvzocUXRioUSnZ+m0xOUPg2I8C0b5iUOktr4lT0uUa+ykv7Sc5/wy7tofft0wl8iTrS+0kYl6iXlTupRot+1dU/17dNxzVqUcE71tXXqg3MJV+uT6tsHV2sgz6WMU32lTn06tpUy1vhKnfoWx7mdtb5SH/vo+jiiRP1z+Jaol22zrj/n8O26ga1/iTjJ4VuiXnafSz+XOCcerHOKb9/GDYMefVzu1ITBM57xDLNu3bqptEPbJgwEYdu2bdVFLPthnZVnt+P+tW/dMXWPLffebR582TFVfMp3lD/2iv+Yer1S4qSNvrIfba1X08/dLYcebA7cdecqVp5+613mrg2bpvp57lP8fmTxb5jX/dqjK98/vfP/Mxf/z0NT9f3Fxz5s1l+wuqqTfAfxr5x9bif7B+J3pyLt1tb+ra31atrv2vRt3J8+9L+4lukXbNzK8wPHHW223n9vdRxZdPlVZuH+Bxbpjwbfd9w48qDddjE3HXJQVae7N242T/v2nVM93o6rb2i/iOPycSzts/Z3DjDPffSjqrh52e33mWsf+sVU42bjuuvNw8tOrOokv2HwmAsunurnKxSv7nbGZ5OJX9ed13ncid88joPx+PPTXm8233hD1a/J75rseuSzsvZrVeGRC0wYREK1JFmnJgwOO+wwc8stt0yFrm0TBprB8GAn0tVyfnrE44fiQH70rQ371dZ6NW3nNp6USvv2xXcSB++mn4ej9trDXP7E/arP1X8+/Etz/G33tOJz1TR+f3n5JeaRs5dX+9KGi/PuJMaq+x4w77/vp530JX7LTNbT75ZxdfuPth5H2lov16/udVvr39Z61TmOW9/Gi9lS37bWq+k4qM3jzD7FsTgzjihzvMO1jOu4fjmln6E8fzsRv34XTby455//9NOHzZt++OPs55/VSXfEQqnfY4p4a5IkCHRqwuDoo48211xzTcJu6rO0ccJAv1fdLSH3n2Xbg71GpE9/Mpz7z9dy+PZpNto9UGq/hziH7/rzVo/cAb/nylWaj8TU8ub+LObwdS+oyJ2hC/Y7YGpGmjcmfjV69Xlz97v2nTTx26d+13owfrASeZ9zu9raaeI397HA1mlazyWMNb7WwT2+yU08XX3kNs7h27c4lthwxxFyY0fKmDOHr41Vt065flTclj+JZ3cfOL+YhHr6e+SM3/RatCcn8Zu/LTasvXToJjr5BoxFa6/O8kap8eseZ7X9VJadoZBagU5NGFx44YXm1FNPHdqZxYsXm6OOOmpoXY4XN998s7n11luropgwqChasVDiwkpqp2dB+nRhBV/bqmWe3YN36onSYO208esO0rp4ojTokTuGNb5ue+ccrA3u86SW3f0hfvPI547ZwVqlxm+fjmvWo4Rzqq+tUx+cS7han1TfPrhaA3kuZZzqK3XCWBTGPzS+UnLfjGWf3HGEZlyk9ZX6yKMPF7FcV8ZnO9q2zf/nit8272Ns3YjfWKn4dO6Es+SUryXa5Ygl8YWMSdk0fn316fJNBmNoerOpUxMGov7iF7/YfO1rX6sa4NBDDzU33nijWbhwYbUux8JZZ51lzjnnnKooJgwqilYsuBc3tTOTTTs7H0Kf7tB2fbUDzhy+bp26fEHbPVhqTpQkFnP4uncIdvkOeDFxB50aY62ve5Gny7ErtsSvKOR/uH2ctt+1NdTEr1unrseumLj7xPjBRoruOberrY0mfvs0LhMP91iS46Rf4yt16tvF7NxxrPUV477FseyTO46QdSnxnMO3rj5dvIjlumrGvuKSw7dv5xfikuuRwzdXXdpQDvFbphXcscM0zy9K1aWMHKWKQOcmDO644w5zyCGHmPXr11ctuHr1avPmN7+5ep1jgQmDHIrlynAvBubo+LQHbfcko8sXVlxf7YBTIkHr24c7fwY/Ee4BM+VEabA8jW+J9h6s2zSW3UGn1EFzYTDV17WVemjbWsqY9oP4zd8Cbqzk6HdtLVPjt2/9rni4zowfbJTonku42hqlxm+fxmVi4e5PjtiVclN9fXXq8thX9uf/Z+/9g/+oqvv/27wDIQQwKsUSSDFDFWUKIgFCvyJKS4szJbSSgVJx+h3aQhwsmc7gl0g70dCmfwCVTjN1rMShzrTB2gK1Jh2pfvFHwZRgDPCJrWLFrxQCtVWhCIQk73f4vs/77d3X7n3d3XvuOfe+Xrv7eu7M+727995z9u7jnL177z372s3hxxq+fWRM50SL24+Q+rOWb8q6zJ3YmP+5XLV9Tg1f93pK2a8ZM+Zkh9fwTVaJFimC/6Y3hnsd0hG07YKtZYz/ug8YpKyHrQ/W6Ql0LmBACG699VZzww03FDSWLl1qHnvsMXPccccVadoNBAy0BPPKu5OB2g5ITGNXd2Z9eoLC5UvnrLmxaPn66tPFJ3/KvuPevDU+rOXrds66PuC3nN3JFSljDV93wlU6ILbn1JY1/De9JXztnKbdtTWU+q+vPl1vd4mJe17SdkHL18rTug/9h9RcLR+p//aFq+VA65TtrtWr4Us63HucJjBv6zTOdWo/1vIlFn1oH3w2df2ZysTe81Lw7dsklstVc4/T8u3r+MLnz5I0LV/JMdsuA//NYyH3Wlx45ipzzO1bVQeL9d8cdVCdAIRZBDoZMJiZmTHnnHPO3KuI7FnStw3uuOMOu6teI2CgRphdgdvoxHYy3QrGNnpl+ZQ3t7LecW67fLUTnRq+qesyTq722O6glNI1A20pX9d3qR7aa4l0tGHxMZZ2kCR8Xb8lJl1/1ZO1q48t/NfSka9dn9G2u7YmKfw3VV1snca5djlr2zwJX3v+bhusmdyxOse1Ts3VnoeEb5+4Wg6+dlfru6RbwpfkfPXpQ1AxtR9L+RLjPvoxnZddXNaSPpqGL9UjRR3s+bRh7bsu0T9rg2X8ddD6r19rd1Phv3ls5wuMpnhAkOu/bjtLZ5mi/5KHFrSWCXQyYEAn8PDDD88FDaanp+fOh5x1x44d5txzzy2fn3gbAQMxupEJpuxEcxu7upNzG8EUDXDdsUaV7vKl40obdg1f3w1OWo9RseMeB0/Ac0nJy7nv/iVNsdenxH9d20qOKz/r0Ui65yid6JTwtWfoPt3a9UntlO2uZSTh2+d2l7i4nKW+S7okfEnOLn3qP6TkavlI+faJq2VBa/e8tG2elG+OupTPc5zbKf1Yw9fHOLb/Mk6OnGP77jUx55iaL9W5D2MM9M843jf+Mlr/Hf8Z5KkB/Hc0XOkoMe2tWyuu//raeW3fxa0L9vMR6GzAgJCsX7/e3HLLLQWdNWvWmLvuuqvY12wgYKChNxpZRKDzc3YHppInf2wtuTcVW96uU9bB6mzL2ufDUsYSvi5b4tKXJ+CtjYnxvts3m/3b77FJc+vYDlIMX7ejSweU2rVS6ZbtwH/zGMS9LlP4Toz/0lnlqEMeWjKtPt/FE5gylmWp1Fyt7lj/dSd8SU8fJgHpPHKcWyxfqodvAqAvjFP7sYRvLluT3rYtvj5TTB9Nytfnw32ZxPL5sLQvIeHr9iHI5/o2vkh1HUn4pjp2W/XAf/NYhrg+v/ZKc+iZvcUB6IGZRRevMYvXrivSYjZC/utrZzUP6cTUDWXTEOh0wIA+fHz55Zebhx56yCxYsMBcdtllhj6AnGLZtWuXufHGG82zzz5rli9fbrZs2WKOPfbYFKqjdNBF6FteeeUVX/LEpbmdTGkDFGrsmsD27QnX8rn6GvmYTrzVJeXr63D2ZUBq2eAJeEsi39rXQaKjcQdPMf7r81lpu5SPSDrN8N90LK2mVO2u1RfjvyTj8+G+tbt0nug/EIX0Syqutmax/ktyfe6X0fm51yj3Xkay7iLhSzpS1sGtUxv2U/mxlC8x6LsfWzv7+mjcSSwpX999tm99NfTPrIe1dy313/aeUbqawX/TsSxr8gVjKF8SLA35r9tPsPXo45jCnlsf150OGPTRIO450YXoWxAwmKfia/SkA6dQo+ezg68h7NsTFO6giTiMImjg68xLbmY+u7UpjXwYT8Dnt4ivraCj0gBx8TXrzKLVaxorEWof6KlPsmP5qQ2rsM8dI/ivtXLadap219Yq5L+23KS0u3S+vjYB/QfrCfJ1Sq62Flz/pfKT0C/zXaeSfpmEbx3jvt3nUvpxjP9am0yCH9tzpbWPN6Vz+v2xfH1s6Vh99GGML8iy7V5i/bfdZ5OudtQmwH/T8Sxr8vUhKJ/GxEs23mIOW7mqXLxx2+e/pJ/GMZM2Jm4E1eFMBAxabjy6CH0LAgYDKohAD1jk2KIbtvbna76bSVNdfTeyvj35Uz5/H2PK505exfD1DZT6zJbDmco0dZKa+DYFCpp0luvV9W34b3oL+piSP0l+Ntzkv+WaT1q7S+eO/kPZA9Jtp+Bqa8P1XyqfOtBm69DGdapzjeFLHHztBGdSt40MQ3VK4cexfKlOqWwbOr+25ft8i+rY1JeK4Uv6J20Sy9eXIKYYXxCF8S8x/jv+2o6+BvDffMzr2ls6IrUP9IqiUODA9V/SSffN6d07vRXvW1DWe5I9TETAoOVGpQvRtyBgMKBCNxNEoAc8cmwR4+cueeeQ6phBontTGVL2kwTfhDZl9f0mU8eYBkp4Ar7OW+LT69oLq4l4Uwdp4ezfgmUnmqnZfVqT/87sfdLMzL73kXRMz3aK3O8iWB205g7GyjJd3ob/prdeHdOYdtfWKtT+TnK7i/6D9ZJ067p2VvoUfMh/qea+SdY+t8PEWPswh7U4hy+V9U0w0D1z6bavWFW9WqfyYy5fgjdpfuw6jM/HbJm6SawQ30mfxKrrS2B8YT1rvOuQ/463duM/Ovw3nw18/Yjy0eyY+PCf/ArfjompDMnSmPj/vuiXzZbfe19wTHzUxpvnxtNl/djuBgEEDFpuPwWAgAAAQABJREFUJ7qJ+BYEDKpU6ho87mAx5mbtm1jp84DJkq7rxNO5h36+xuFL+iftyR/L1q7r/Jjymzg38cUT8JbuYE2c92+7x+zbkuabNwPN81uSCV1XRxf34b/praZpd21tmtoHtLvzgx534pXYof9gPUi2rmsPuFztUZv815aZ1H4ZMcbDHNYL8qy1fszxX1vzSfVje/52Xcfc5pcnsS644ALzL9/6djERRbIxD3ZMyiRWE1OML6xnjX4d0z6MvnbtOSL8N58tiK3vwZlUR5zUMXEqfm3Qg4BBG6zQUAe6kfgWBAyGqVCD5xs4UUcIT2gP85Kk1E1eka66J3/sceo6RaQTP1+zlOYnr5pu3HaghCfgB8ykW6k7SdQporaGfpEwqUuIKfw33jM07a49mtv+ot21ZObX6D9UeaTa03K19XD916Y3BcT7/qtEy6CufWiaBLSydl3Hl/JJPx7mwPjC+sqo1qG+hLYekziJFWKK/pnWq2TyTe2vTGM/peC/ee1KfF/YuL72dUKxR6d5oUkJyMay6Vp5BAxabjG6ifgWBAx8VOqfFKTSTYOnppt104C0Sae/ht1PpRuK72lMe2a2w1n++drUCcsN+SzJ4skfS6p+TZzwBHw9n9Q5xJsmRYh53XsX645p/X3SAwVlPvDfMo0028Q0tt21gauTFh1mvrPjAfartCa1g9/EuOlej/5Ds49LuVqtPr7ol1k68+u6oAHl4mGOKivpntSPff5r6wA/tiTq18Qdk1j1fGJziCfGF7HU8pVvah/yHbW7muG/+W1n21w6EsbE+Xl34QgIGLTcSnQj8S0IGPiozKdRQ4cntOv5pMgJMdYeYxKf/PExS80ZT8D7KFfTiDlNvtA3Cmaenv1ewTNPzf7tnStEk4YLjp/9rsGy+fWi1ZdO9K8JquSG9+C/w0w0Kal5unVBu4tfeLk+kWo/5Ls28Or+co6OT7Lnv+mN5r6tf41vxzQYhDghqNgAKEGW1I9pLIdvIOkMQOwpcEALJrF0LEk65MuxR8D4IpbYoDyCBgMW3C34L5eUrhxxDo2J/+YL/6+56oN/aBaetSr4kWRdbSA9LgIIGIyLPPO4CBgwQTnFqIHDExQOlAy7xBlP/mQA66i0N2w8Ae+AGdEuOvM60PBfHT9XGu2uSyTtPvFF/yEtU9IGrumZuhqJcdMDM2752H0EFeHHsT6Tozz5uZ3E+uKn7jRvf+PJtQ92YBKr2QKWJcYXzZxy5WJ8oSML/9Xx00rDf7UEuyGPgEHL7YSAgc5AqQdPeILCbw/ijCd//GxSp9rOEZ6AT022WR86Rc18uLnwXy6pcDm0u2FGmhLEN+XkK/oP89YAV41X8mRt2xD7JHaddryLeJgM/HiYybhS0D9LQ5582gZi8AvbNEw5WuC/HErhMvDfMKMcJeC/Oai2SycCBu2yx1Bt6CL0LXglkY9KfZq9ieAJinpGqXIsa86ENp78SUMdN+s0HOu0gG8dmTTp4Kvn2NTuPnlg2qw4923Fq7TQ7sbxtmzRf4jjFioNriFC+nxijIc59BybNMCPm+jkz0P/IS9j8AXfvATyaof/gm9eApOhHQGDltuZGjrfgoCBjwovzXbuORPaeEc5jymnFG7aHEryMuArZ8eRBF8OJXkZ8JWz40iCL4dSuAz6D2FGkhIhrvd/+3Hzi7/5nrlvyKBfJiE8/yqduqeHEVSUMXWlQn6MbyC5xNLs4/6WhmOdFvCtI5MmHXzTcKzTAr51ZNKkg28ajm3WgoBBm60zWze6CH0LAgY+KvI0NHZydhxJ8OVQkpcBXzk7jiT4cijJy4CvnB1HEnw5lORlwFfOjiMJvhxK8jLgK2fHkQRfDiV5GfCVs+NIgi+HkrwM+MrZcSTBl0NJXgZ85ey6JImAQcutRReib0HAwEdFl4ZGT8cvJA2+IUK6fPDV8QtJg2+IkC4ffHX8QtLgGyKkywdfHb+QNPiGCOnywVfHLyQNviFCunzw1fELSYNviJAuH3x1/ELS4BsipMsHXx2/LkgjYNByK9FF6FsQMPBRkaehsZOz40iCL4eSvAz4ytlxJMGXQ0leBnzl7DiS4MuhJC8DvnJ2HEnw5VCSlwFfOTuOJPhyKMnLgK+cHUcSfDmU5GXAV86OIwm+HEryMuArZ9clSQQMWm4tuhB9CwIGPiq6NDR6On4hafANEdLlg6+OX0gafEOEdPngq+MXkgbfECFdPvjq+IWkwTdESJcPvjp+IWnwDRHS5YOvjl9IGnxDhHT54KvjF5IG3xAhXT746vh1QRoBg5ZbiS5C34KAgY+KPA2NnZwdRxJ8OZTkZcBXzo4jCb4cSvIy4Ctnx5EEXw4leRnwlbPjSIIvh5K8DPjK2XEkwZdDSV4GfOXsOJLgy6EkLwO+cnYcSfDlUJKXAV85uy5JImDQcmvRhehbEDDwUdGlodHT8QtJg2+IkC4ffHX8QtLgGyKkywdfHb+QNPiGCOnywVfHLyQNviFCunzw1fELSYNviJAuH3x1/ELS4BsipMsHXx2/kDT4hgjp8sFXx68L0ggYtNxKdBH6FgQMfFTkaWjs5Ow4kuDLoSQvA75ydhxJ8OVQkpcBXzk7jiT4cijJy4CvnB1HEnw5lORlwFfOjiMJvhxK8jLgK2fHkQRfDiV5GfCVs+NIgi+HkrwM+MrZdUkSAYOWW4suRN+CgIGPii4NjZ6OX0gafEOEdPngq+MXkgbfECFdPvjq+IWkwTdESJcPvjp+IWnwDRHS5YOvjl9IGnxDhHT54KvjF5IG3xAhXT746viFpME3REiXD746fl2QRsCg5Vaii9C3IGDgoyJPQ2MnZ8eRBF8OJXkZ8JWz40iCL4eSvAz4ytlxJMGXQ0leBnzl7DiS4MuhJC8DvnJ2HEnw5VCSlwFfOTuOJPhyKMnLgK+cHUcSfDmU5GXAV86uS5IIGLTcWnQh+hYEDHxUdGlo9HT8QtLgGyKkywdfHb+QNPiGCOnywVfHLyQNviFCunzw1fELSYNviJAuH3x1/ELS4BsipMsHXx2/kDT4hgjp8sFXxy8kDb4hQrp88NXx64I0AgYttxJdhL4FAQMfFXkaGjs5O44k+HIoycuAr5wdRxJ8OZTkZcBXzo4jCb4cSvIy4Ctnx5EEXw4leRnwlbPjSIIvh5K8DPjK2XEkwZdDSV4GfOXsOJLgy6EkLwO+cnZdkkTAoOXWogvRtyBg4KOiS0Ojp+MXkgbfECFdPvjq+IWkwTdESJcPvjp+IWnwDRHS5YOvjl9IGnxDhHT54KvjF5IG3xAhXT746viFpME3REiXD746fiFp8A0R0uWDr45fF6QRMGi5legi9C0IGPioyNPQ2MnZcSTBl0NJXgZ85ew4kuDLoSQvA75ydhxJ8OVQkpcBXzk7jiT4cijJy4CvnB1HEnw5lORlwFfOjiMJvhxK8jLgK2fHkQRfDiV5GfCVs+uSJAIGLbcWXYi+BQEDHxVdGho9Hb+QNPiGCOnywVfHLyQNviFCunzw1fELSYNviJAuH3x1/ELS4BsipMsHXx2/kDT4hgjp8sFXxy8kDb4hQrp88NXxC0mDb4iQLh98dfy6II2AQcutRBehb0HAwEdFnobGTs6OIwm+HEryMuArZ8eRBF8OJXkZ8JWz40iCL4eSvAz4ytlxJMGXQ0leBnzl7DiS4MuhJC8DvnJ2HEnw5VCSlwFfOTuOJPhyKMnLgK+cXZckETBoubXoQvQtCBj4qOjS0Ojp+IWkwTdESJcPvjp+IWnwDRHS5YOvjl9IGnxDhHT54KvjF5IG3xAhXT746viFpME3REiXD746fiFp8A0R0uWDr45fSBp8Q4R0+eCr49cFaQQMaqx06NAh881vftMsXrzYLFmyxLzuda+rKZk3mS5C34KAgY+KPA2NnZwdRxJ8OZTkZcBXzo4jCb4cSvIy4Ctnx5EEXw4leRnwlbPjSIIvh5K8DPjK2XEkwZdDSV4GfOXsOJLgy6EkLwO+cnYcSfDlUJKXAV85uy5JImBQY61rr73WfOxjH5vLXbBggfn6179uzjjjjJrS+ZLpQvQtCBj4qOjS0Ojp+IWkwTdESJcPvjp+IWnwDRHS5YOvjl9IGnxDhHT54KvjF5IG3xAhXT746viFpME3REiXD746fiFp8A0R0uWDr45fSBp8Q4R0+eCr49cF6U4HDL773e+az33uc2bPnj1zfy+++KL56Z/+6blfA7zpTW8yv/Ebv2He8IY3iOywevVqs3379kL23nvvNRdddFGxP6oNugh9CwIGPiryNDR2cnYcSfDlUJKXAV85O44k+HIoycuAr5wdRxJ8OZTkZcBXzo4jCb4cSvIy4Ctnx5EEXw4leRnwlbPjSIIvh5K8DPjK2XEkwZdDSV4GfOXsuiTZyYDBzMyM+chHPmI+/OEPm5dffrmR91lnnWXe9773md/+7d825NTcBQEDLqn+lEOjl9eW4Au+eQnk1Q7/Bd+8BPJqh/+Cb14CebXDf8E3L4G82uG/4JuXQF7t8F/wzUsgr3b4L/jmJdB/7Z0LGExPT5sLLrjAPPDAA1HWOe+888wnPvEJc8opp7DkEDBgYepNIdxM8poSfME3L4G82uG/4JuXQF7t8F/wzUsgr3b4L/jmJZBXO/wXfPMSyKsd/gu+eQnk1Q7/Bd+8BCZDe+cCBvTLgg984AMi6yxatMh86EMfMjfccINZuHBhow4EDBrx9DITN5W8ZgVf8M1LIK92+C/45iWQVzv8F3zzEsirHf4LvnkJ5NUO/wXfvATyaof/gm9eAnm1w3/BNy+B/mvvVMDgP//zP82pp55q6FsFmoV+oXDXXXeZ17zmNbVqEDCoRdPLDNxM8poVfME3L4G82uG/4JuXQF7t8F/wzUsgr3b4L/jmJZBXO/wXfPMSyKsd/gu+eQnk1Q7/Bd+8BCZDe6cCBjfddJPZuHHjkGWOP/74uW8UvPnNbzYLFiwwTz755NwHi+m1RXUfBz755JPnytDHkX0LAgY+Kv1Ow00lr33BF3zzEsirHf4LvnkJ5NUO/wXfvATyaof/gm9eAnm1w3/BNy+BvNrhv+Cbl0Be7fBf8M1LoP/aOxUwuOKKK8ynP/3pilXe8573mL/8y780Rx99dCWddp566inzF3/xF+a2224zBw8eHMp/7Wtfaz73uc+Zs88+eygPAYMhJL1OwM0kr3nBF3zzEsirHf4LvnkJ5NUO/wXfvATyaof/gm9eAnm1w3/BNy+BvNrhv+Cbl0Be7fBf8M1LYDK0dypgcPrpp5s9e/YUlqFfFOzevdscccQRRZpv45vf/KZ5//vfb770pS8NZR911FHms5/97NyHlMuZCBiUaUzGNm4qee0MvuCbl0Be7fBf8M1LIK92+C/45iWQVzv8F3zzEsirHf4LvnkJ5NUO/wXfvATyaof/gm9eAv3X3pmAwczMjFmyZInZv39/YZUtW7aY3/3d3y32QxtU/rrrrqvoIBn6GDJ90+Diiy8uVCBgUKCYiA3cTPKaGXzBNy+BvNrhv+Cbl0Be7fBf8M1LIK92+C/45iWQVzv8Nx3fQ08/ZfZvu8cceuYpM/P03rn1oWf2mgXHnzB3kAXHn2imls1vH756jTls5ap0B59QTfDfvIYHX/DNSyCvdvhvXr5t0d6ZgMG+ffvMkUceWeG2c+dOc84551TSQju7du0y7373u+deV1Que9hhh5mtW7eayy67bC4ZAYMyncnYRqOX187gC755CeTVDv/V820a7D/xxBNmxblvw2Bfj9mrAf7rxRKVCP+NwpW0MPw3Kc4hZeA7hCRpAvjKcR78+k4zvWun2bdlc7QSCiRQ0ADBg2h0FQH4bwVH8h3wTY60ohB8KziS74BvcqStU9iZgAGRe9WrXmWef/75AiJN/q9cubLY527QR5Hf9a53mX//93+viExNTZk77rjD/NZv/ZZBwKCCplc7TYN+OlE8oZLe3LiZpGda1gi+ZRrpt8FXztQO9vdvv3v2acC9UYow2I/CVVsY/luLJpgB/w0iyl4A/psXMfiCb14CMu3U9h7YdrfZv/0emQJHatHFlyJw4DDh7KJ94FDilcH8A49TylLw35Q0h3WB7zCTPqZ0KmBw6qmnGvoegV3uvPNO85u/+Zt2N2r97LPPzr2CaMeOHRU5cvyPfexjZvv27XN/NvPee+81F110kd0d2Zrq41teeeUVXzLSaghg0F8DZoTJuKnkhQ2+4JuXQJx2Ghjtu31zksG+DRwsvmadWbDsxLiKoPQcAbQPcY4A/43jlbs0/DcvYfAF37wE4rS/uPGGJH0H96i2L7Fk4y1uFvYbCKB9aIATyML8QwDQCLLhv3khg29evm3Q3qmAwRVXXGE+/elPF9yuvfZa89GPfrTYj9148cUX515P9IUvfCEoioBBEFErC2DQ3w6z4GaS1w7gC755CcRp3/fxzaLXB4SOgsF+iJA/H+2Dn0tdKvy3jsx40uG/ebmDL/jmJcDXTpOr1P5O795ZK0S/FKBfgi88a5WZmn3l0NQJy83M3ifnys/M/orRPsXdpIP6Esd8fCseQKilPMhA+zBgEbOF+YcYWvnKwn/zsSXN4JuXb1u0dypgQN8YeO9731uwO+qoo+a+RUCvKpIu9BFlCkR85jOfaVSBgEEjnlZmYtDfLrPgppLXHuALvnkJ8LQ/f82VUYN9+sUADaxWrFhhvrPjAdZgf+GZq8xRG2/GYJ9nkrlSaB94sOC/PE6jLgX/zUscfME3L4GwdgoW/Hjtld6CdM9ftPrS2b813nyf/1K/gnTSR5J9wQMKGtCvFut0eg80oYk+vhOKgnXamH9gYRpZIfhvXtTgm5dvG7R3KmBArxE68cQTzUsvvVSwu+mmm8yHPvShYl+yMT09ba666irzN3/zN7XiCBjUomllRuygX/KECiat+KbHzYTPSlISfCXU+DLgG2ZFA3N6jYDvOwW5Bvv0WgH6oCGWZgLw32Y+lAv/DTMaVwn4b17y4Au+eQmEtdcFC6jvsHjtusb7PMd/99O3EDyBAwQNwrbh8A1rmZwSmH9ol63hv3ntAb55+bZFe6cCBgTt93//982f//mfF/wWL15s/u3f/m3u6cQiUbBB3wR4//vfP/f9Ap84AgY+Ku1Lw6C/fTaxNcJNxZLIswbfPFytVvC1JIbXdYP9mMF4E18a7NP3ENxgBOlH0GDYHr6UJr6+8pOUBv9tv7Xhv3ltBL7gm5dAvfa69peCBcfcvrVesJTD8d+6V8RQPwKvJyrB9Gxy+HrEJioJ8w/tNTf8N69twDcv3zZo71zA4Pvf/775+Z//efODH/yg4Hf99debP/3TPy32NRsf/OAHzc033zykAgGDISStS6jrdHImrTiNHSat5Cbn8JVrhyT45vUB8G3m+9zqdwxN5mOw38xslLnw32ba8N9mPuPOhf/mtQD4gm9eAs3afe3vkg/fzH5VUKz/0ljuxZvWVyqFoEEFR2Unlm9FeEJ2MP/QXkPDf/PaBnzz8m2L9s4FDAjcjh07zJ/8yZ+Y559/3tB3DOiXARdffHEyph/5yEcMBQ7oVUW00MXwjW98w5x66qnJjsFVRMf2LfSLCCxVAr5OJyatqozGuYebSl764Au+eQn4tft+fk0fJaQn/2MWjv/SE4L0WoF9WzZXVMe08xXBCdrh8J0gHMWpwn8LFK3egP/mNQ/4gm9eAn7tvvb36NmPEce+ajDWf31BA0m/xX9W/UuN5ds/As1nhPmHZj7jzoX/5rUA+Obl2wbtnQwYjALck08+aXbv3m0OHTpkTjnllLEEC+g86SL0LQgYVKn4Op0xnb+Yxg6TVlX2nL0Yvhx9KFMlAL5VHqn3wNdPlL5ZsH/7PZXMmHbXCsby9X1QTnJce/y+r2P59p2HPT/4ryXR7jX8N699wBd88xLwa/c9lS25j0v919ePkAQr/GfXn1Qp3/4QaD4TzD808xl3Lvw3rwXANy/ftmhHwKAtlqipB12IvgUBgwEVDPoHLNq8hZtKXuuAL/jmJVDVToHT5y55ZyVR86R/jP/63kWMVwpUTDG0E8N3SLiHCfDfbhkV/pvXXuALvnkJDGt3J1pH1X+wNaF7wAsb15vp3TttktHUoVDSww20D36jYv7Bz6VtqfDfvBYB37x826AdAYM2WKGhDnQR+hYEDOappBr0Sxo7TFr5PNOfJuHr14RUHwHw9VFJlwa+wyzdgRJN2C/d9pXhgowUCV9qf59fe2Xl2wmSpxMZ1et8EQnfzp904ATgvwFALcqG/+Y1BviCb14Cw9p9rwSSPt2v8V/frxyk9Rg+y36kaPj2g4D/LDD/4OfStlT4b16LgG9evm3RjoBBWyxRUw+6EH0LAgbzVDDo93lHO9NwU8lrF/AF37wEBtp9A6WYjxQONA22JP7rTjpQ0IK+nRD7/uNBLfq7JeHbVxrw3+5ZFv6b12bgC755CVS1u2M3bbBf47+p61I9037safj2g8DwWbh+g4dmhhm1JQX+m9cS4JuXbxu0I2DQBis01IEuQt+CgIExKQf9msYOk1Y+D62mafhWNWHPRwB8fVTSpYFvlWXKgRJp1vB1X2ugnXionmk/9jR8+0Ggehbw3yqPtu/Bf/NaCHzBNy+BYe0/OuvnKolLP/tls2DZiZU07o7Wf92xpGbil1vnLpXT8u3SuXLr6voMyUkfmtHwxfxD2GIavmHtKAG+k+EDCBjU2Jk+dvy1r33NTE1NmSOPPBIfPa7hNM5kDPrHST/+2LipxDOLkQDfGFrxZcF3wOy51e+ovApIOlAaaJQHDXwDJumrkcr16ds2/HdgUfjvgEVXtuC/eS0FvuCbl8BAu+81QK/Z9Z1BAcGW1n/dBw/wWqKqEbR8q9q6v4f5h27ZEP6b117gm5dvG7QjYFBjhdtuu81cf/31Re6DDz5oVq1aVeyPaoMuQt+CXxgYk3LQr23sMGnl89JBmpbvQBO2fATA10clXRr4Dlj6nqwa52DfVx8M9gf2oi3474CHz1/gvwM+bdyC/+a1CviCb14CVe3uZOviq9eZxWvXVQtF7KXwX3cMh18qDgyQgu9AWz+2MP/QHTvCf/PaCnzz8m2LdgQMaiyxYcMGs2nTpiL33nvvNRdddFGxP6oNuhB9y6QHDDDo93lFu9NwU8lrH/AF37wE5rXv+/hms2/L5uJQqQbWGv91nw5MVafiJHuwoeHbg9MvTgH+W6Do1Ab8N6+5wBd88xIYaHcDBuP8haKtFQIGloR/jfZhwAXzDwMWXdmC/+a1FPjm5dsG7QgY1FgBAYMaMC1JTj3oT9HYYdKq3jlS8K3XjhzwzesD4Dvgi8H+gEVXtuC/A0vBfwcsurIF/81rKfAF37wEqtrdp7M13y8gzSn8131N0sIzV5ljbt9arfiE7qXg2yd0mH/oljXhv3ntBb55+bZFOwIGNZZAwKAGTEuSMehviSEiqoGbSgQsQVHwFUCLEAHfeVhuYDTV6380fDHYDzuyhm9Ye3dKwH+7Y6tyTeG/ZRrpt8E3PdOyRvAd0EgdMCDNWr7uU+P48PHAXin4VrV1ew/zD92zn7Z96N4Zj7bG4Dta3uM4GgIGNdQRMKgB05Lk1IP+FI0dJq3qnSMF33rtyAHfvD4AvgO+GOwPWHRlC/47sBT8d8CiK1vw37yWAl/wzUugqv1HZ/1cJWGc35ApVyR1vcq6u7yN9qFqPcw/VHm0fQ/+m9dC4JuXb1u0I2BQYwkEDGrAtCQZg/6WGCKiGripRMASFAVfAbQIEfCdh5VrUK3hi6cDw46s4RvW3p0S8N/u2KpcU/hvmUb6bfBNz7SsEXwHNNo4fqPa5bo3DM68u1vw34Ht2ui/6AMP7OPbgv/6qKRLA990LNuqqVMBg7Vr15qtW0fzTsEDBw6YgwcPFnZr20ePqWL04WN7kU7a2u3Yvfbrj4+dx8zeJ81zl7yz8Bn6Seurt//L2Os1yX4yadcFzvencL1lvi/8cOXJRRtHG/R0YBv8rq31Qvvbrn5KW/2krfWC/7bLf2EP2KMN91uNH2475UTztqOPKPoRl3z7afPA8y+NtR9xYNeD5sdrryzqRN8weNWWO9GfzNyf1PjRuK4DzD9gnNVFv819vRSNJzZ6SaBTAYOzzz7b7Nq1ayyGaFvAYNIbq7YOrttar0n3F5w/Btm5O0uTov/R019vlh++sLgPv3XPE+aJ/QfHOthHsBbXN/f6g/9isI/+ANoLbnuBcunbi/+9+j1mevfOog9B30E6/Kxzxzo5f94xR5rPvnFZUaev/vhls/qxp8bar0E71c52qq3j/LbWC37cTj/OYZeiAcVG7wh0KmBwxhlnmEcffXQsRmhjwGAsIFpy0NQ/CbSDAs3p4SeB9fRS8K3XjhzwzesD4Dvgm/r9raRZyxffjxnYx7el5evT2dU0+G/3LAf/zWsz8AXfvASq2t2Pxi66+FKzZOMt1UIReyn8163T4qvXmcVr10XUor9FU/DtEx3MP3TLmvDfvPYC37x826K9UwGD888/39x///1jYYeAwViw1x4Ug/5aNK3NwE0lr2nAF3zzEpjX7g6sl3z4ZrNo9Rr1oTX+u+/jm82+LZuLOmgnIApFPdrQ8O0RBgP/7aY14b957Qa+4JuXwED7/m13mxdvWl8k0Otbl277SrEv2dD6rzsJnKpfIzmXNspo+bbxnKR1wvyDlNz45OC/edmDb16+bdDeqYDBJz/5SXPVVVdVuK1YscKcd955lbQUO4888ojZs2dPoQoBgwJFKzZSD/pTNHaYtKp3jRR867UjB3zz+gD4Dvi6g/0Uk/Navu79AE8HDuxFW1q+VW3d3oP/ds9+8N+8NgNf8M1LoKrd/TU25dJriQ5buapakLmn9V9ffejbTFjmCWj59o2j29/UBpdS8MX8Q72XpeBbrx054DsZPtCpgAGZ5MILLzT33XdfYZ3TTz/d7N6920xNTRVpKTY2bNhgNm3aVKhCwKBA0YoNDPpbYYaoSuCmEoUrujD4RiOLEgDfeVzu4DrF04GkWcPX/Qjd0s9+2SxYdmKUffteWMO3T2zgv920Jvw3r93AF3zzEqhqd5/S1j54oPHf1HWpnmk/9jR8+0FgcBaYfxiw6MoW/DevpcA3L982aO9cwODxxx83p512mtm3b1/Bb/Pmzea6664r9lNsIGCQgmI+HakH/SkaO0xa1ds7Bd967cgB37w+AL5Vvu4AW/N0IGnW8HUHb6kCGNUz7vaehm+3z9xfe/ivn0tbU+G/eS0DvuCbl8Cwdve+TSWk/QiN/7rfP9LUY/gs+5Gi4dsPAtWzwPxDlUfb9+C/eS0Evnn5tkV75wIGBO7WW281N9xwQ8Fw6dKl5rHHHjPHHXdckabdQMBASzC/PAb9+RmnPAJuKilpDusC32EmKVPAd0DTHeynmKSX8nXvA3gd0cBO5S0p37KOvmzDf7tnSfhvXpuBL/jmJTCs3b13LzxzlTnm9q3DBRkpUv9NWQdGNTtbRMq3syccqLjrN9Jglz2Mhm+O/oytV1/WGr59YZDzPMA3J9126O5kwGBmZsacc845c68ishjp2wZ33HGH3VWvETBQI8yuIOVNUtvYuZ0HTFpVza/lW9WGPZcA+LpE0u6Db5Wn+4QV5Wre4yrl694DqB7agRvp6Nsi5ds3DvZ84L+WRDfW8N+8dgJf8M1LwK/d93S/ZOwk9V933Ea1RP9h2FZSvsOa+pPi9j01D81o+bp+LLmG+mOZ4TPR8h3WiJQyAfAt0+jvdicDBmSOhx9+eC5oMD09PWcdctgdO3aYc889N4m1EDBIgjGrEgz6s+JNrhw3leRIKwrBt4Ij+Q74VpG6H37TDJhIs4Tvc6vfYQ49s7eomPY9yIWiHm5I+PYQQ3FK8N8CRSc24L95zQS+4JuXgF+72w5TKcmEZ6z/+oIV6D/4bUSpsXzrNfUjB/MP3bIj/DevvcA3L982aO9swIDgrV+/3txyyy0FxzVr1pi77rqr2NdsIGCgoTc6WbezKZ200jR2mLQK21vDN6wdJcA3rw+A7zBf34BJ+koBCV/3qSqqIT52PGwnSpHw9WvqTyr8tzu2hP/mtRX4gm9eAvXaqR1+fu2VlcA/jeMWXbzGLF67rl6wlBPrv75ggXTsWKpGbzdj+fYWhHNimH9wgLR0F/6b1zDgm5dvW7R3OmBAHz6+/PLLzUMPPWQWLFhgLrvsMkMfQE6x7Nq1y9x4443m2WefNcuXLzdbtmwxxx57bArVUTroQvQtr7zyii954tIw6O+OyXFTyWsr8AXfvASGte/7+Gazb0v1nit5OpA0x/ivO1AjeelxSXYSlhi+k8CDzhH+2x1Lw3/z2gp8wTcvgXrtvnEclY554p/rv74HDehYeBURUahfuHzrNfQvx+e3eGimnXaG/+a1C/jm5dsG7Z0OGLQBYO460EXoWxAwGFBJMeiXNHaYtBrYILQl4RvSifwBAfAdsMixBb5+qjRg2nf7ZrN/+z2VArGT9zF8fe2udJBWqXSPd2L49hjD0KnBf4eQtDIB/pvXLOALvnkJhLX7nvonKXryf8nGW8xhK1fVKuH4L+mnvkP5FYZWIYIFloR/zeHrl+x/KuYf2m9j+G9eG4FvXr5t0Y6AQVssUVMPuhB9CwIGAyoY9A9YtHkLN5W81gFf8M1LwK+d2l/3lQJUMnYSn+O/vqcD8SoBv13cVA5fV2YS9uG/3bAy/DevncAXfPMSCGuvCxqQJPUn6BVFdYGDOv8lnTSpO717p7cCCBZ4sQwl1vEdKjhhCZh/6IbB4b957QS+efm2QTsCBm2wQkMd6CL0LQgYVKloB/0xjR0mrarsOXsxfDn6UKZKAHyrPFLvgW8zUWp/n7vknUOFaDJ/8TXrzKLVa4byygkhvvu33T33SwY8HVimxt8O8eVr6mdJ+G+77Qr/zWsf8AXfvAT42uvGclYD9SkoaHD4T/oUU7P7UycsNzQmJtmZZ/bOradnAwXuLx+tDlpTAOKojTebBctOLCdj20MA7YMHSimpzme5D83E8MX8Qwk8czOGL1MlipUIgG8JRo83ETBouXHpQvQtCBgMU8Ggf5hJm1JwU8lrDfAF37wEmrXXDZpISvpagaZAAUdnc40nKxftQ7O94b/NfMadC//NawHwBd+8BPjaqS32veqQr6G5ZMy3EZo1TU4u2odmW2P+oZnPuHPhv3ktAL55+bZBOwIGbbBCQx3oIvQtCBj4qJi5J0t8r8eg0k0TTE2NHSat/KxjUpv4xuhBWT8B8PVzSZUKvjySoYG+fTpw4ewTgvRkHz0dSGviO7P3yainA4+5fSuvUigV9UHpScYF/22n9dH+5rUL+IJvXgIy7dQev7Bxfe3rhGK14lcFscTmy6N94HEjf8X8A4/VKEvBf/PSBt+8fNuiHQGDtliiph50IfoWBAx8VObTMOivZzPOHNxU8tIHX/DNS4Cnndrf/dvuMfu2bOYJRJbC04GRwH5SHO0Djxv8l8dp1KXgv3mJgy/45iUg105tMgUOaKn7FkGddvuQAr0aEa8fqqMUTkf7EGZEJTD/wOM06lLw37zEwTcv3zZoR8CgDVZoqANdhL4FAQMflUEaBv0DFm3Yws0krxXAF3zzEojXHho4xWqkQAEG/bHU5sujfYjnBv+NZ5ZLAv6bi+y8XvAF37wE0mmndpk+ZEzfKJh5evZ7Bc88Nfu3d+4AFBxYcPzsLxeXza8XnrWq9iPJ6WrUf01oH+JsjPmHOF65S8N/8xIG37x826IdAYO2WKKmHnQh+hYEDHxUhtMw6B9mMq4U3FTykgdf8M1LQKbdDvDpVwd4OlDGMIUU2gcZRfivjFtqKfhvaqJVfeBb5ZF6D3xTE63qA98qj9R74BtPFPMP8cxyScB/c5Gd1wu+efm2QTsCBm2wQkMd6CL0LQgY+KjUp2HQX89mFDm4meSlDL7gm5dAGu22HeY8Hbho9aV4hUAa7PiGQSKO8N9EICPV4P4WCSyyOPhGAossDr6RwCKLg28ksMji4BsJzClu+w14aMYBM6Jd+G9e0OCbl29btCNg0BZL1NSDLkTfgoCBjwovzd68MWnF45WqFG4qqUj69YCvn0uqVPBNRdKvB3z9XFKlgm8qkn494OvnkioVfFOR9OsBXz+XVKngm4qkXw/4+rmkSgXfNCQx/5CGY6wW+G8ssbjy4BvHq4ulETBoudXoIvQtCBj4qMjT0NjJ2XEkwZdDSV4GfOXsOJLgy6EkLwO+cnYcSfDlUJKXAV85O44k+HIoycuAr5wdRxJ8OZTkZcBXzo4jCb4cSvIy4Ctnx5EEXw4leRnwlbPrkiQCBi23Fl2IvgUBAx8VXRoaPR2/kDT4hgjp8sFXxy8kDb4hQrp88NXxC0mDb4iQLh98dfxC0uAbIqTLB18dv5A0+IYI6fLBV8cvJA2+IUK6fPDV8QtJg2+IkC4ffHX8uiCNgEHLrUQXoW9BwMBHRZ6Gxk7OjiMJvhxK8jLgK2fHkQRfDiV5GfCVs+NIgi+HkrwM+MrZcSTBl0NJXgZ85ew4kuDLoSQvA75ydhxJ8OVQkpcBXzk7jiT4cijJy4CvnF2XJBEwaLm16EL0LQgY+Kjo0tDo6fiFpME3REiXD746fiFp8A0R0uWDr45fSBp8Q4R0+eCr4xeSBt8QIV0++Or4haTBN0RIlw++On4hafANEdLlg6+OX0gafEOEdPngq+PXBWkEDFpuJboIfQsCBj4q8jQ0dnJ2HEnw5VCSlwFfOTuOJPhyKMnLgK+cHUcSfDmU5GXAV86OIwm+HEryMuArZ8eRBF8OJXkZ8JWz40iCL4eSvAz4ytlxJMGXQ0leBnzl7LokiYBBy61FF6JvQcDAR0WXhkZPxy8kDb4hQrp88NXxC0mDb4iQLh98dfxC0uAbIqTLB18dv5A0+IYI6fLBV8cvJA2+IUK6fPDV8QtJg2+IkC4ffHX8QtLgGyKkywdfHb8uSCNg0HIr0UXoWxAw8FGRp6Gxk7PjSIIvh5K8DPjK2XEkwZdDSV4GfOXsOJLgy6EkLwO+cnYcSfDlUJKXAV85O44k+HIoycuAr5wdRxJ8OZTkZcBXzo4jCb4cSvIy4Ctn1yVJBAxabi26EH0LAgY+Kro0NHo6fiFp8A0R0uWDr45fSBp8Q4R0+eCr4xeSBt8QIV0++Or4haTBN0RIlw++On4hafANEdLlg6+OX0gafEOEdPngq+MXkgbfECFdPvjq+HVBGgGDlluJLkLfgoCBj4o8DY2dnB1HEnw5lORlwFfOjiMJvhxK8jLgK2fHkQRfDiV5GfCVs+NIgi+HkrwM+MrZcSTBl0NJXgZ85ew4kuDLoSQvA75ydhxJ8OVQkpcBXzm7LkkiYNBya9GF6FsQMPBR0aWh0dPxC0mDb4iQLh98dfxC0uAbIqTLB18dv5A0+IYI6fLBV8cvJA2+IUK6fPDV8QtJg2+IkC4ffHX8QtLgGyKkywdfHb+QNPiGCOnywVfHrwvSCBi03Ep0EfoWBAx8VORpaOzk7DiS4MuhJC8DvnJ2HEnw5VCSlwFfOTuOJPhyKMnLgK+cHUcSfDmU5GXAV86OIwm+HEryMuArZ8eRBF8OJXkZ8JWz40iCL4eSvAz4ytl1SRIBg5Zbiy5E34KAgY+KLg2Nno5fSBp8Q4R0+eCr4xeSBt8QIV0++Or4haTBN0RIlw++On4hafANEdLlg6+OX0gafEOEdPngq+MXkgbfECFdPvjq+IWkwTdESJcPvjp+XZBGwKDlVqKL0LcgYOCjIk9DYydnx5EEXw4leRnwlbPjSIIvh5K8DPjK2XEkwZdDSV4GfOXsOJLgy6EkLwO+cnYcSfDlUJKXAV85O44k+HIoycuAr5wdRxJ8OZTkZcBXzq5LkggYtNxadCH6FgQMfFR0aWj0dPxC0uAbIqTLB18dv5A0+IYI6fLBV8cvJA2+IUK6fPDV8QtJg2+IkC4ffHX8QtLgGyKkywdfHb+QNPiGCOnywVfHLyQNviFCunzw1fHrgjQCBi23El2EvgUBAx8VeRoaOzk7jiT4cijJy4CvnB1HEnw5lORlwFfOjiMJvhxK8jLgK2fHkQRfDiV5GfCVs+NIgi+HkrwM+MrZcSTBl0NJXgZ85ew4kuDLoSQvA75ydl2SRMCg5daiC9G3IGDgo6JLQ6On4xeSBt8QIV0++Or4haTBN0RIlw++On4hafANEdLlg6+OX0gafEOEdPngq+MXkgbfECFdPvjq+IWkwTdESJcPvjp+IWnwDRHS5YOvjl8XpBEwaLmV6CL0LQgY+KjI09DYydlxJMGXQ0leBnzl7DiS4MuhJC8DvnJ2HEnw5VCSlwFfOTuOJPhyKMnLgK+cHUcSfDmU5GXAV86OIwm+HEryMuArZ8eRBF8OJXkZ8JWz65IkAgY11jp06JD52te+ZqampsyRRx5pTj311JqSeZPpQvQtCBj4qOjS0Ojp+IWkwTdESJcPvjp+IWnwDRHS5YOvjl9IGnxDhHT54KvjF5IG3xAhXT746viFpME3REiXD746fiFp8A0R0uWDr45fSBp8Q4R0+eCr49cFaQQMaqx02223meuvv77IffDBB82qVauK/VFt0EXoWxAw8FGRp6Gxk7PjSIIvh5K8DPjK2XEkwZdDSV4GfOXsOJLgy6EkLwO+cnYcSfDlUJKXAV85O44k+HIoycuAr5wdRxJ8OZTkZcBXzo4jCb4cSvIy4Ctn1yVJBAxqrLVhwwazadOmIvfee+81F110UbE/qg26EH0LAgY+Kro0NHo6fiFp8A0R0uWDr45fSBp8Q4R0+eCr4xeSBt8QIV0++Or4haTBN0RIlw++On4hafANEdLlg6+OX0gafEOEdPngq+MXkgbfECFdPvjq+HVBGgGDGishYFADpqfJaOzyGhZ8wTcvgbza4b/gm5dAXu3wX/DNSyCvdvgv+OYlkFc7/Bd88xLIqx3+C755CeTVDv8F37wEJkM7AgY1dkbAoAZMj5NxU8lrXPAF37wE8mqH/4JvXgJ5tcN/wTcvgbza4b/gm5dAXu3wX/DNSyCvdvgv+OYlkFc7/Bd88xLov3YEDGpsjIBBDZieJuNmktew4Au+eQnk1Q7/Bd+8BPJqh/+Cb14CebXDf8E3L4G82uG/4JuXQF7t8F/wzUsgr3b4L/jmJTAZ2hEwqLEzAgY1YHqcjJtKXuOCL/jmJZBXO/wXfPMSyKsd/gu+eQnk1Q7/Bd+8BPJqh/+Cb14CebXDf8E3L4G82uG/4JuXQP+1dypgsHbtWrN169aRWOXAgQPm4MGDxbHw0eMCRS83cDPJa1bwBd+8BPJqh/+Cb14CebXDf8E3L4G82uG/4JuXQF7t8F/wzUsgr3b4L/jmJZBXO/wXfPMSmAztnQoYnH322WbXrl1jsQwCBmPBPtKD4qaSFzf4gm9eAnm1w3/BNy+BvNrhv+Cbl0Be7fBf8M1LIK92+C/45iWQVzv8F3zzEsirHf4LvnkJ9F97pwIGZ5xxhnn00UfHYhUEDMaCfWQHxc0kL2rwTcf30NNPmf3b7jGHnnnKzDy9d2596Jm9ZsHxJ8wdZMHxJ5qpZfPbh69eYw5buSrdwSdAE/iO3shoH/IyB1/wzUsgr3b4L/jmJZBXO/wXfPMS0Gtv6vc+8cQTZsW5b8O4Qo/ZqwHtgxeLKLHJj0khxscirI1C8N9GPL3J7FTA4Pzzzzf333//WOAjYDAW7MkP2nQzQadIjxt89Qx9Gg5+faeZ3rXT7N9+92yAYK+vSG0aBRIoaIDgQS0iY/nu27K5vlBNDvjWgIlMRqczEpinONpfD5QRJcF/84IGX/DNSyCvdvgv+OYlEK/d9nsxrohnl1oC7YOcKPxYzk4i2TTOIH0Iykiotl+mUwGDT37yk+aqq66qUF2xYoU577zzKmkpdh555BGzZ8+eQhUCBgWKzm3gZpLXZJYvJlvTc6Yb877bN88GCu5RK7cT24uvWWcWLDtRra8PCsh3D2y7Owlf4rHo4ksRmAk4BjqbAUCR2Wh/I4Epi8N/lQBrxJu44mGOGmiJkjFZlQjkrJomP6ajYDIlHWurCf5rSfDW5KMYV/BYjaIU/FdGGX4s4yaRsuMMBBcl9Poh06mAASG/8MILzX333VfQP/30083u3bvN1NRUkZZiY8OGDWbTpk2FKgQMChSd2cDNJK+pMNmal+++j282kiBMqFY2cLBk4y2hor3Of3HjDckCBWVQ4FumMb+NzuYwE20K2l8tQb48/JfPKqak5Sq5z9l2Fr+ciyFeXxaTVvVsQjnw4xCh/PnwXx5jjCt4nHKWQlBRTxd+rGfI0YB5NA6lySjTuYDB448/bk477TSzb9++wkKbN2821113XbGfYgMBgxQUx6cDN5O87DHZmpfv89dcaaZ376w9CD3JTk+qLTxrlZmafeXQ1AnLzczeJ+fKz8y+ssh2SJt0LDxzlTlq480T92sDGtxT+9DEJgVfmtA65uNbJ45v2WnR2SzTSLeN9jcdyyZN8N8mOvI8aoPxyy45P42k7RvgG0gaivOy8GM9wxQaECzgUYwdV9Avkam9oDc5fGfHAxhX8DB7SyGo6MUiSoz1Y4yPRZjnxsmShzlCR7MPe0z6Q4shTm3L71zAgADeeuut5oYbbihYLl261Dz22GPmuOOOK9K0GwgYaAmOTz72ZoJOEd9WkslWCd9JnWwlvjQZ6PtOAU3wL1p96ezfGq/BfIMm6uyTTvpIsm+CnDjTTXtSPoxMLH689kovv1x86RVQdTbzVqQniQjapjck2t/0TOs0wn/ryOjSEezS8ZNIU7uBbyBJyNXLwI/r2Ywjx9f/HUc92nhMuv6l4wp7PmW+GFdYKuE1sUdwPMyJU0Ljx2X/tceCH1sSw+vYeTQEZYYZ9i2lkwGDmZkZc84558y9isgahL5tcMcdd9hd9RoBAzXCkSvAzSQvcuKLydZ8jOv40qR+aNLZ1xlya7p/9l399N5SNxgxKUGDOr4UKFi8dl1j0ITL1xeY4djPtVXX99HZTG/BOv+lIyHYlZY3/DctT9JG/hv7yy48bKCzA02I4F3lOoautMSPJZMp1G+Y9F8ouuzr9jn9szrZvqfX9Rti+qVNfCd9XNHkPwgqNtGJy9P4cZP/2lrAj+dJEOfY4GITXwRlrId1f93JgAFhf/jhh+eCBtPT03NWIIfdsWOHOffcc5NYBQGDJBhHpkRzM7GVbGr0Jv1mUseXM9nK5Tvpk63PrX7H0GQ+8T3m9q0WYeO6yX+tYN0EQt8Hp03+C77WO/RrSWfTHtXnv+hsztNp8t9QsKuJr82j+9ukt7/EAv5rPSLtus5/6SihYJetSbl94LQLoSC71dvXNX4hk96yGj8u+6+tGfzYktCvfXz1WruvQTuusASa+E7quMKycdfUTsQGxxFUdClW97V+3OS/9kiT7sd19zdOcJHDd9Ln0ayfdXXd2YABAV+/fr255ZbBhzvXrFlj7rrrriS2QMAgCcaRKcHNJB/qupsIJrPTMfc90Urv0ee+449zs7a1pU4RTQ667yaMsafV1ZW1r31Y8uGb2a8KiuFLTKhj9OJN6yt4JjUog85mxQ2id9D+RiMTCdRxhv+KcBZCdVzpfoNgV4Ep6YavP1E+QIpv9JD9JukbSBo/5vQfELQte2jcNodvnMZ+lPa1AzHjCkuBw3cSxxWWT3ld105QGWozfa+VbeJLXEmn74EO0snpn1C5Li9aP27i63KZZD/2jZM58wKxfH2/euz7+Nj1sy7udzpgQB8+vvzyy81DDz1kFixYYC677DJDH0BOsezatcvceOON5tlnnzXLly83W7ZsMccee2wK1VE66EL0La+88ooveSLTtDcTC43T6E3izcR3E4mZbI3hS2UnbbLV97PVXJ16awta+55AlBy3rLON27724ejZjxHHfreB0z6Uz9/nx33ka8/Z105wOptWnsOX2t9J62z6uKL9tV6Tbu3jDP/V8a2bPInhamvQ1D5MYrtguZTXxDv2dQJW3seXuIYmqybhG0gp/NjH17K3a/ixJRG/5vCN19pdiVTjCkuAy3dSxhWWS3nd1E6EguMcvpMYVEzlxxy+ZVtOmh/7xskx49UYvnSfm7SHFsu+1dXtTgcMugo9pt50EfoWBAzmqeBm4vOOdGm+mwgmW9PxpRvnc5e8s6Iw9WRKRXlpxzc47VuU39eBj+kEWVwxnSErQ2tfp1Ny/ZR1tnHb107EcI7hO0mdTR9Xif/E8CX/mrRgl48z/Fff0viCMAh26bn6NPjudVSO8wQqp32gNmFSv4Gk9WMO37JNfe1v3/pm5fPVbsfy1R6v7fKpxhX2PGP4TsK4wnIpr+vaX854TsuX6tHH9iGVH8fwtTadJD/WzqNJ+BJn3/g4pt9tbYX1aAggYDAazuKj0IXoWxAwMCbVzcTyjWn0JuFm4usAaRrzGL5kE9/NRDJZZu3bxrV7o6ZO39JtXxFVNZYvHYT8+Pm1V1a+naCxsajiGYXciUBO572uOlK+L2xcb6Z37yzUaupQKGnRhuvDVDWJD8Xy9bUPkuO2CGWlKmh/Kziy7cB/86B12146iub+zW0ffJOtfWoX6qzlm9SOuddw+Pr6vVSfPk5WWc6p/JjD1x6T1pPqx2UGMduxfGN0d62se0/TjCvsucfw7fu4wjIpr33tb0xwPIYvHdfXPvStHU7px7F8ifEk+DGdIx5aJGtjCRFAwCBEaMz51Mj5FgQMzNxPr/dvv6fAo+kU4WZSYCw23IFSzOCzUPKTDSnfPk+2+m7UMR3MMmMJXyvvdjzpOurDawbc86LzlU5Yafj6Jn6l9bA2a8va58OSdkLCl47tvp6oTwMmtL/5vRz+m4exr83TTNrHtg++YGJf2lyfxdy2gsrE8I7hS9fMpLxOIJUfx/At23fS/Lh87jHbUr4xx+hKWd89TTqusOcs4ev2v/syrrBMymtf+xtzv5HwpeO7jCktpt2n8m1dUvqxlC+xcRn3zY9TBGU0fMnOfX5osa3Xl6ReCBhIqI1Qhi5E3zLpAYOUNxPLV9Lo9fVm4p4XMYrpAFmm5bWEr2/Apq1HuU7j3E5xoy7XX8LXyrsd3j50Ol2+2nPS8E1dF2u3ca/d86LONH4ho7cK2l89Q44G+C+HUnwZ934iCSK6R41pf6l/2OeHDcpsXB+mPMm9LoYvHcM3mS05Lulq65LSj2P5EpNJ8mOtD0j4ao/ZRnm3PdD0ycrnJ+HrXj99ax+Ij2+MKjlPCV86vq8d7sMYObUfS/kS4776ccp5NA1fd7zTt6AM+VAfFgQMWm5Fugh9y6QHDHAz8XlFujSXr6QDVK6N5maSui7leo1z2/0Jq+YpIA1fYuC7YUsnfsfJtHzsH531c+Vds/SzXzYLlp1YSePuaPm6HbNUgzhu/XOUc8+JjiH1YQ1fn+92/Rcyqds8Dd/UdcnhixKd8F8JtbCMez2ShHYCQ+K/vokcbT3CZz/aEj4flgRnJHzp2H3+hVdKP5bwtZ40CX5sz1W61vCVHrOtcinHFfYcpXzda6gP/V7LxK7dyeRRtb/2+NQO9zE4ntKPpf5rGffVj92+vfT61PIlzu51pJ1zsrbDOh0BBAxqWB46dMh87WtfM1NTU+bII480p556ak3JvMl0IfqWSQ8YpLyZWL7SRq+PN5OUk61avu6gWHpTs/Vow9o9J6rTa3Z9R1U1qf/SQX316fLkim+QPU6+xNjtEHWZL51Pqs4m6aJF478u2653NtH+zvtEzv/w3zx0Xa6prkVJ+5CrLnnIxWt1z0/TN5LwpX5DX18n4LLV+rGEr/WI1HWxevu01vDtCwdfP17b77VsJHx99el6v9fyoLU79qc06flJ+NLxaPGNd6T1mNc43v8+v9H6sYavrz5d5mutm3IeTcOX6uNeS5q+jD0/rNMSQJnxfs8AAEAASURBVMCghudtt91mrr/++iL3wQcfNKtWrSr2R7VBF6FvmeSAga/xxs3E5yWyNF/nY5x86SzcCcGu36zdn5GOczBqvcRlrK2T1TuOtTvAXnz1OrN47TpxVbSdITqw2yHqMl86H3Q2iUL6Be1veqY+jfBfHxV9GoJdeoYcDb5+MH7hxSHHK5PSj7X9B9fWmEyp2lDLt6qtu3upxxWWhIZvn8YVloddu+MMaZ9ewzd1Xay+ca5T+3EKvn3zY/eeQvaWzvOk4OurT9fnecZ5DeU4NgIGNVQ3bNhgNm3aVOTee++95qKLLir2R7VBF6JvmeSAQeqbieWrafT6dDNxO0HaydYUfPs22eoylg70LVtaa/yX5PvEGHzJovkWX+dO2tm0tdT4r68+Xe1sur6L9td6SLq1z1/gv3q+OYJdtlbS9sHtm3W1XbAc7NptJ7STyFK+VB+XsXTizJ7buNc5/FjD18e4L36cytZavqnqMU49bpuQYlxhz0fKt0/jCsvCrhFUtCTSrnP4sdR/7Zn1zY9Tz6Np+RLnvvUjrO/0ZY2AQY0lETCoAdOCZNxM8hoBfPPyJe3ujVE7+Etxs3YHyZJ3ceYnxzuC+/Sw5vsFdETwrXJHZ7PKI+Ue2t+UNP264L9+LtpU13cR7NISrZd373GayUHt/c2dTNEGL+rPejQ5qf1Yy5fO2mXc9aBMSkum4JuyPuPSlXpcYc9Dw7dP4wrLg9bueVGa9KEDDV86rl1y2d/qH9U69Xmk4Ovau8vjY7Kje48bZ//B+hXucZZEO9cIGNTYBQGDGjAtSE59M7GnpLmp9Olm4g5EtZOt4GsJDNY5GGv8l2rmPnXb5UE/+A58LcdWys6mrZ/Wf/vS2czhu8RYw7dP9zdiAf8lCumXHFxtLaX+25d2wXKgtXuvpjTpZBXJ0iLlS7K++mgfgiC941py+LGGL3Hoox+ntK+Wb8q6jEtXrr4DnY+Ur9s2dHlcUbar20Zog+NSvuU69aWNyOHHWr598+PU82havuTHfRtnlK/NPmwjYFBjRQQMasC0IBk3k7xGAN+8fEm7+1PWcQ727dn2qUPURr457G5tN+o1Opv5iKP9zcfWaob/WhJp1zl8l2qoGYz2cRCKX8ik9VtXW2o/1vivrVsf/diem3adgq+2Dm2QT93vteek4duncYXlQWs3YIAntMt0dNup/Vjjv/ZM+ubHKe9xKfgS574xtr7TlzUCBjWWRMCgBkwLklPfTOwpaRq9PjV0beRLNspVL2v/Ua5znIvGf+2556iX1T3KdcrOkK03+FoSwx88TvErJC3fvrTBua5BLd9c9Rp41ei22tg+9MF/c3C1XiH13z5wtQzsOuVkldUp5Wvl+/J0K51PDj/W8u2jH1vfSbHW8k1Rh3HryHmP1vDNWa9xMU/dRmj4WgZ9CSrm8JcUfHPUy9pu1OvU55KCL+5xo/aCuON1KmCwdu1as3Xr1rgzFJY+cOCAOXjwYCHdto8eU8Xow8f2Ip2k9Q9XnlzYhTbo6ew2nH9b6xXrJ89efL459MzegjFNBk6dsHzs/tYXvmSPR09/vVl++MKC8Vv3PGGe2H9wrH48s/dJ89wl7yzqRD8dfvX2fxm73WP9l8pvO+VE87ajjyjO5ZJvP20eeP6lsfI9sOtB8+O1VxZ1ondgvmrLnZ3k63Y2X/v1x8d+Hn3xX7S/+fs18N+fynK9tpEr3Q/aWi9pvxX3tzz+a+3RVn9pa70sN6zz+mWIL8YVo+Pfxn7aSYsOMw+fdlIxxnjywLR5y//53ljHPZLxG/w4vx/nmE8pHE+x4d7jtG9fUFQFog6BTgUMzj77bLNr1y7nFEaz27aAgaQRDnU2upKPm0nemwkGo3n50nX2v1e/x0zv3lk0XvS+38PPOjfLJA73uj7vmCPNZ9+4rKjTV3/8sln92FOd62yCb37/zdHZ5PppU7m21ivmfo32F/5rG+G2PAzB9d82TqJQe9GHdqHc7rWRc18mq4hzG/n20Y+57QrK8YLoGFfwOKXwJ3disw0PzdB5tbVe5ftXiD/8OL8f55pHs31XyRq/MJBQG51MpwIGZ5xxhnn00UdHR6d0pDYGDErVm6jN1O8fJnj2ZiYF2ZefAtL5g6/UC/hyqV8poPVfqnnq9yLzaaQv6fJddPGlZsnGW8QHSsHXrZP2I2nik0kg2MafY/els4n2N4GDBlTAfwOAhNk5fJeqoml/+9Q3s2ZxJ4W0T+Fp+No69aX9pfNJ7ccp+PbRj63vaNcp+Grr0AZ5t4+pea9++Xw0fPs0rigzSdmH0PAt14m2U98bXP2j2E/txyn49s2PU97jUvAlv8I9bhRXl/wYnQoYnH/++eb++++Xn61CEgEDBbzEoqlvJrZ6mkavTzcTl692sjUFX7dOXZ5sJR453ver8V+qU58Yu3zp9UpLt32FTlO8aPm6A4xUgznxCSkEU3Y2bTW0fPvS2XSvQ7S/1kPSreG/6ViWNeXgavVL24e+tAuWA61zTApJ+eauV1n/qLZz+LGWbx/9OKU9tXxT1mVcutx+b6q+A52PlK/bn+n62M3aNnUbIeVr60PrvrQROfxYy7dvfuyej3Y8quVL/tuneTQ6n74tnQoYfPKTnzRXXXVVxQYrVqww5513XiUtxc4jjzxi9uzZU6hCwKBAMfYN3EzymsDli8nW9LxTP42X4mbtTkKk+JBtenI8jS5fkqLXPh22chVPgVNKy9dXH+1ToU4VR7qLzmY+3Gh/87G1muG/lkTatcs11YSVpv1169SHCSs3+Ky9V2v4Wg9y73Ep+o1W96jXrs9o/TgFX7dOffDjVHZNwTdVXcapJ9c1qOHbp3FF2bYpAwYavuU69SVgkNqPU/Dtmx+74wzNPS4FX/Jj3OPKV3P7tjsVMCB8F154obnvvvsKkqeffrrZvXu3mZqaKtJSbGzYsMFs2rSpUIWAQYFi7Bupbyb2hDSNXp9uJi5f4qOZbNXy9dWny5OtlkfKDifp1Piv23no8mC/jq+mQ6Tl69paWxd7juNau/6S4nw0/ksc+tLZ9LV3aH/Tejr8Ny1Pq83lmvI+Im0f3Ml17ZN09lzHuXbvJ+NsHyyHvkxW0fnk8GOp/1q+ffRje24p1lq+KerQBh052gY6LwnfHNdRGxhTHdz+prYPLOHrsnDr1OWgYmo/1vDtox+74wxtX03D1/pxn+bR7Dn1ad25gMHjjz9uTjvtNLNv377CDps3bzbXXXddsZ9iAwGDFBTz6cDNJB9b0uzyHWdnKHVd8pLja0/ZCdHerF3GXe5oWgu4fCldOrGi4etOpGjqYc9t3Gt0NvNawL0e0f6m5Q3/TcvTanO5Urq0zbU6aS1tf3316cPDBu7EkDYIIuVbtlGfXifg8xuNH2v5+urTBz8u+49mW8tXc+y2ybr9Xu1EIJ2flK/bj+nDuMLaOyVnKV9bF7vuU1CxTXz76sfueUnvcSn8N6W97fWAdVoCnQsY0Onfeuut5oYbbihILF261Dz22GPmuOOOK9K0GwgYaAnmlc/RuEgbPbfR7UOnyOVL1pTeTKwnSPj2cbLV8vANAjUDfwlfqksOW9tzHPfavTYXnrnKHHP7VlG1pHxT1kFU8UxC7nmNo32wp+b6cIpBstU9jrV7PlSHcfDtc/sL/83j2S5XbbDL1lLS/uaqi63TuNZu+5CCsYRv+fzdIEbX+8GpfUfDN3Vdynbry7aGb18Y0HmkHldYNrF83TaK9Gj7MLYubVj7OGvOL5avy8BXny4HFX3ng/Gxa3XdvnuNasZNWv9173Fd7z/oLNNO6U4GDGZmZsw555wz9yoii5W+bXDHHXfYXfUaAQM1wqwKcDPJindOuduAY7I1PXN3kC29YWtu1u5TKSkmH9KTkmn0TXhKOiJSvu41RGehGVTIKOSRQmczD1er1fUdtL+WTJo1/DcNR1eLy5XytW2epP31tf3aerjnOq59t/8r7TfY+kv4Wlm77tvrBFL6sYZvn/3Y+o52reGrPXYb5VONK+y5Sfj2eVxhubh9NOnYScLX1sGuU9XF6mvDOpUfa/j22Y/dfgTZXBKU0fClY6a815I+LHkIdDJgQCgefvjhuaDB9PT0HBly2B07dphzzz03CSkEDJJgzKok1c3EVlLS6PX5ZuIbqEgmW6V83Q4Q6enLgN8y8d2wpRODEv/1MdZ+QNGeW1vWbjtB9ZL4cSxf3/UjHVC0hWW5Hj7flXQ2rc5Yvlaur51Nn/9I/NZyiuXraxv61P7Cf61npF+7viO9p5VrpvXfFHUo12fc2y5j7bUZy7d8/m4brA1glHWPc9tlrPEhKd+UdRgny9zHlvLNXa9x6Pfd2zS+S+cQw9f1WZLv27iCzslt9yhN2g7H8KXjlBdfX1Faj7LecW+n9GMJ30nwY3d8LL13S/ha/+rzPJo9xz6sOxswIPjr1683t9xyS2GHNWvWmLvuuqvY12wgYKChNxpZ3Ezyc3ZvJnREyaRV7M3E1wHq02Rr2XLuu38ljGP50jFS2bZ8Lm3cpnbi+bVXmkPP7C2qR52iRRevMYvXrivSmjZi+fr8V9oRa6rXuPNcH5KeYyzf8nn3ubPp8qXzRvtbtr5u2+UL/9XxtNK+9k/it1ZfbPvgG+j3YQLF8qC1O1kl9V3SFcuXZMqLy1tj67LecW+n8mMpX5cr8eibH6ewsZRvimO3VUeKcYU9txi+7j2VdPSlPbA8ymv3GpUEZmL4lo9tt1PUwepq2zqFH0v4Toofp5hHk/C1fub6LqX3Mbhoz7fL604HDOjDx5dffrl56KGHzIIFC8xll11m6APIKZZdu3aZG2+80Tz77LNm+fLlZsuWLebYY49NoTpKB12IvuWVV17xJU9cWoqbiYUW0+hN0s1EO9kay9c3SNMMhu3x27qmG/a+2zeb/dvvqVQxtpOt9V9JR7dS4Rbv+DpFVN2YIBSXr68DRMfq40Dfx1XqR1y+xNIuPtZ96mwSX7S/1trp1/Df9EytxtR9JG774Os/xLTztv5tX/t8F7/wSm+1VH7M9V97BpPix/Z8tetYvtrjtV2e2ocU4wp7nhy+vmtF2h+0x2372nedxo7d6Bw5fH0sfH3gPo01UvlxDN9J8+MU82gxfK0f+zhLrh2rD+u8BDodMMiLph3a6SL0LQgYzFPBzcTnHWnTfANTOkLMIJx7M/F1fuhYfeoA0fm4CzF2JwapDLezzeVLOn2M+xyQoXOmxdexp3Q69yUbbzGHrVxFu96Fw5f0Uweo/EsGq6zP/ovOprVynjXa3zxcrVb4ryWRdu27p1FbG/PLLlsjTvtLZX1tfJ/vbe6AW3quXL7WHuV1n3/hReeZwo9j+U6aH5f9SbIdy1dyjC7K+HyXzoM7rrDnzOE7qeMKYuS2w5QWM/HJ4Us63cXXTsSMy119bd3X+nEM30n0Y+KrCS7G8LU+5rtmYtslqwvr0RBAwGA0nMVHoQvRtyBgMKCivZlYTZxGbxJvJsTH1zGhdM5kK5WjpYkv6Z/EydZ5MvP/yY+fu+Sd5aS5bWK8+Jp1ZtHqNUN55YQmvlSOXmFAnYJJm9AuM6rzYypDnRV6RVFd4KCOL+mkScfp3TvLhyq2+xwsoJPUdjYtqDq+Nr+8nrTOZp3fov0te4VsG/4r48aRqrunSSY1Qu2Dr29Gdexz++vjKx10h/j67O1j3qdfeNlz9nGmvBg/5vL1MaVj9dmP6fy0C5ev9jhdk6/zXe64wp5vHV+MKxBUtD6Sc6314zr/tXWedD8mvnho0XoD1j4CCBj4qLQojRo534KAQZUKbiZVHjn26iat6FiYbE1DvO6mTdqbJgebOkNNHaEmnWnOqH1amhhbzhQ0OPwnAZqp2YDN1AnLDbW5JDsz+y0EWk/PBgrc10iVz5auiaM23mwWLDuxnNzL7Tqm3MmrJv91gfkmVMiPl277ilu0V/tof/OZE/6bj22d38bce5raB9I/yQ8b4Bcy+Xy3rFnjx03+a48x6X5sOUjWHL4SvX2Rqbu/0flx2mEfX4wrqt5BjH0PfHGCij6+Ve3VPV8fmEr0Pago9eMmvvDjgW/V+TC1EU0PLTbxHWjHQ4tlFl3cRsCg5VajC9G3IGAwTEV6M7GafI0ebiaWzvy6iTGVoBuLO9lqJ0xPWnSY+c6OBzDZWkU6tEeMfT8PtAUt44Wzk9rElia0aU3+O7P3yagJ7WNu32rVTtQ6xFgLgzNI0B6jbfLE1DdgCnU27Xn42l+bR+umtrjvAyXLAe2vJZF+Df9Nz9RqrJtspfzQwwZWh9s+kM5J/mWX5VJ3L4t5JQbpcvla/b71pP3CyzLQ+HEdX/ixpatb1/HVae2PdF07Yc+wblxB+SR7/pveaO7b+tesB2UmdVxR1z4QW7z21Hqabi31Y2ofMD4Osye+vl8akGSTHze1v01jtyad4dqixCgJIGAwStqCY9FF6FsQMPBRqX89hi1d1ynCzcQSCq9DN+ywhuYSkzjZ6hIhxvu33WP2bUnzEXdXPxjPEyHOL2xcX/s6IZdbaH+SflXgY4HOpo9K2jS0v2l5lrXBf8s00m43saUj2b5Z+ZddeNiAZ4M6tviFF49fTKk61laHz4/xC0VLJ8+6abIqzxG7qZV8F+OKvLarCxrQUeuC4yH/RVCxajP4cZVH6j3iG/PQ4s/9X+eZJ/YfnKsGycb8Cn9Sg4upbTYKfQgYjIKy4hgIGMTDw80knplEgjhjslVCji8TunHzNc2XpEAB/bTQTsTEyve1vPVlOr+6bxHUnbudIADXeUIhn7W88AuZOo/ipVufjfXXOu2THuyyXOC/lkT6dYit9oiTHAgntviFl9aDePLwYx6nUZYKTbqOsi5tP1Zq/8W4ompx4ts0NrZ94HJwHEHFKkPOHvyYQ0lWhtgiuChj11cpBAxablkEDOQGws1Ezi5G0naOSCZ28sp2nDDZ2kycGNNTJnQDB+NmVtpcy5q+UTDz9Oz3Cp55qvhQNPnrguNnXwO1bH698KxVtR9J1tajy/LEEJ3N0VgQ7W96zvDf9EzLGq3Pxt7LyjrK2wh2zdMgrnidQNkz8m7Dj/Py5WpHsIBLqlqO/BfjiiqTVHvEtukpbe1xJjk47rKDH7tE0u2n9mMEF9PZZtSaEDAYNfHI4yFgEAnMUxw3Ew+UTEmWtW+y9ckD02bFuW/DZKuSfRNjd0J70epL8WsCJW8rjkGpJcFfo7PJZ5WiZFPbgPY3njD8N55ZjATxpScxaYkNHuBhAz/pkM9abviFl5+fJBV+LKGWVgb9Mx1P8mEKHvjGbtRm3P/tx80v/uZ75h6YwbiCz9q2DbH3t7ojIDheR2Y+PeTH5Qe+4MfNLMu5liseWixTmaxtBAxabm8EDNIayDZ6dZ0i3EzS8rba0Jm3JPKswTcPV6sVfC0J2dq2u+hsyvhppeC/OoLwXx0/jrRl7OubIdjFITgoQyzxC68Bj1FuNfmx+0AHfqGYxjK4v6XhWKcFfOvI8NOpXUBwnM8rZUn4b0qa898KLQcX/78Hv2qWH75w7iDuPQ5BmbTsx6kNAYNx0mccmxo634KPHvuo6NJwU9HxC0mDb4iQLh98dfxC0uAbIsTLj5lQQWeTx5RTCv7LoRQuA/8NM8pRAv4bT5V8NeVrMfA6gXgbWAn4ryWRZw2+ebhareBrSejXMX0IBBX1vEkD/DcNxzot4FtHpj/pCBi03JZ0EfoWBAx8VORpaOzk7DiS4MuhJC8DvnJ2HEnw5VCSlwFfOTuOJPhyKMnLgK+cHUcSfDmU6svYCSr8wqueUc4c+G9OupgMzEsXfME3N4G8+tH+gm9eApOhHQGDltuZGjrfgoCBj4ouDTcVHb+QNPiGCOnywVfHLyQNviFCunzw1fELSYNviJAuH3x1/ELS4BsixMu3wQPfq5/wOgEeQ0kp+K+EGl8GfPmsJCXBV0KNLwO+fFaSkuArocaXAV8+q66WRMCg5Zaji9C3IGDgoyJPQ2MnZ8eRBF8OJXkZ8JWz40iCL4eSvAz4ytlxJMGXQ0leBnzl7DiS4MuhJC8DvnJ2HEnw5VCSlwFfOTuOJPhyKMnLgK+cHUcSfDmU5GXAV86uS5IIGLTcWnQh+hYEDHxUdGlo9HT8QtLgGyKkywdfHb+QNPiGCOnywVfHLyQNviFCunzw1fELSYNviJAuH3x1/ELS4BsipMsHXx2/kDT4hgjp8sFXxy8kDb4hQrp88NXx64I0AgYttxJdhL4FAQMfFXkaGjs5O44k+HIoycuAr5wdRxJ8OZTkZcBXzo4jCb4cSvIy4Ctnx5EEXw4leRnwlbPjSIIvh5K8DPjK2XEkwZdDSV4GfOXsOJLgy6EkLwO+cnZdkkTAoOXWogvRtyBg4KOiS0Ojp+MXkgbfECFdPvjq+IWkwTdESJcPvjp+IWnwDRHS5YOvjl9IGnxDhHT54KvjF5IG3xAhXT746viFpME3REiXD746fiFp8A0R0uWDr45fF6QRMGi5legi9C0IGPioyNPQ2MnZcSTBl0NJXgZ85ew4kuDLoSQvA75ydhxJ8OVQkpcBXzk7jiT4cijJy4CvnB1HEnw5lORlwFfOjiMJvhxK8jLgK2fHkQRfDiV5GfCVs+uSJAIGLbcWXYi+BQEDHxVdGho9Hb+QNPiGCOnywVfHLyQNviFCunzw1fELSYNviJAuH3x1/ELS4BsipMsHXx2/kDT4hgjp8sFXxy8kDb4hQrp88NXxC0mDb4iQLh98dfy6II2AQcutRBehb0HAwEdFnobGTs6OIwm+HEryMuArZ8eRBF8OJXkZ8JWz40iCL4eSvAz4ytlxJMGXQ0leBnzl7DiS4MuhJC8DvnJ2HEnw5VCSlwFfOTuOJPhyKMnLgK+cXZckETBoubXoQvQtCBj4qOjS0Ojp+IWkwTdESJcPvjp+IWnwDRHS5YOvjl9IGnxDhHT54KvjF5IG3xAhXT746viFpME3REiXD746fiFp8A0R0uWDr45fSBp8Q4R0+eCr49cFaQQMWm4lugh9CwIGPiryNDR2cnYcSfDlUJKXAV85O44k+HIoycuAr5wdRxJ8OZTkZcBXzo4jCb4cSvIy4Ctnx5EEXw4leRnwlbPjSIIvh5K8DPjK2XEkwZdDSV4GfOXsuiSJgEHLrUUXom9BwMBHRZeGRk/HLyQNviFCunzw1fELSYNviJAuH3x1/ELS4BsipMsHXx2/kDT4hgjp8sFXxy8kDb4hQrp88NXxC0mDb4iQLh98dfxC0uAbIqTLB18dvy5II2DQcivRRehbEDDwUZGnobGTs+NIgi+HkrwM+MrZcSTBl0NJXgZ85ew4kuDLoSQvA75ydhxJ8OVQkpcBXzk7jiT4cijJy4CvnB1HEnw5lORlwFfOjiMJvhxK8jLgK2fXJUkEDFpuLboQfQsCBj4qujQ0ejp+IWnwDRHS5YOvjl9IGnxDhHT54KvjF5IG3xAhXT746viFpME3REiXD746fiFp8A0R0uWDr45fSBp8Q4R0+eCr4xeSBt8QIV0++Or4dUEaAYOWW4kuQt+CgIGPijwNjZ2cHUcSfDmU5GXAV86OIwm+HEryMuArZ8eRBF8OJXkZ8JWz40iCL4eSvAz4ytlxJMGXQ0leBnzl7DiS4MuhJC8DvnJ2HEnw5VCSlwFfObsuSSJg0HJr0YXoWxAw8FHRpaHR0/ELSYNviJAuH3x1/ELS4BsipMsHXx2/kDT4hgjp8sFXxy8kDb4hQrp88NXxC0mDb4iQLh98dfxC0uAbIqTLB18dv5A0+IYI6fLBV8evC9IIGLTcSnQR+hYEDHxU5Glo7OTsOJLgy6EkLwO+cnYcSfDlUJKXAV85O44k+HIoycuAr5wdRxJ8OZTkZcBXzo4jCb4cSvIy4Ctnx5EEXw4leRnwlbPjSIIvh5K8DPjK2XVJEgGDlluLLkTfgoCBj4ouDY2ejl9IGnxDhHT54KvjF5IG3xAhXT746viFpME3REiXD746fiFp8A0R0uWDr45fSBp8Q4R0+eCr4xeSBt8QIV0++Or4haTBN0RIlw++On5dkEbAoOVWoovQtyBg4KMiT0NjJ2fHkQRfDiV5GfCVs+NIgi+HkrwM+MrZcSTBl0NJXgZ85ew4kuDLoSQvA75ydhxJ8OVQkpcBXzk7jiT4cijJy4CvnB1HEnw5lORlwFfOrkuSCBi03Fp0IfoWBAx8VHRpaPR0/ELS4BsipMsHXx2/kDT4hgjp8sFXxy8kDb4hQrp88NXxC0mDb4iQLh98dfxC0uAbIqTLB18dv5A0+IYI6fLBV8cvJA2+IUK6fPDV8euCNAIGLbcSXYS+BQEDHxV5Gho7OTuOJPhyKMnLgK+cHUcSfDmU5GXAV86OIwm+HEryMuArZ8eRBF8OJXkZ8JWz40iCL4eSvAz4ytlxJMGXQ0leBnzl7DiS4MuhJC8DvnJ2XZJEwKDl1qIL0bcgYOCjoktDo6fjF5IG3xAhXT746viFpME3REiXD746fiFp8A0R0uWDr45fSBp8Q4R0+eCr4xeSBt8QIV0++Or4haTBN0RIlw++On4hafANEdLlg6+OXxekETBouZXoIvQtCBj4qMjT0NjJ2XEkwZdDSV4GfOXsOJLgy6EkLwO+cnYcSfDlUJKXAV85O44k+HIoycuAr5wdRxJ8OZTkZcBXzo4jCb4cSvIy4Ctnx5EEXw4leRnwlbPrkiQCBi23Fl2IvgUBAx8VXRoaPR2/kDT4hgjp8sFXxy8kDb4hQrp88NXxC0mDb4iQLh98dfxC0uAbIqTLB18dv5A0+IYI6fLBV8cvJA2+IUK6fPDV8QtJg2+IkC4ffHX8uiCNgEHLrUQXoW9BwMBHRZ6Gxk7OjiMJvhxK8jLgK2fHkQRfDiV5GfCVs+NIgi+HkrwM+MrZcSTBl0NJXgZ85ew4kuDLoSQvA75ydhxJ8OVQkpcBXzk7jiT4cijJy4CvnF2XJBEwaLm16EL0LQgY+Kjo0tDo6fiFpME3REiXD746fiFp8A0R0uWDr45fSBp8Q4R0+eCr4xeSBt8QIV0++Or4haTBN0RIlw++On4hafANEdLlg6+OX0gafEOEdPngq+PXBWkEDFpuJboIfQsCBj4qcWmHnn7K7N92jzn0zFPmi5+607z9jSfPbu81C44/YU7RguNPNFPL5rcPX73GHLZyVdwBULoggJtJgSLLBvhmwVooBd8CRZYN8M2CtVAKvgWKLBvgmwVroRR8CxRZNsA3C9ZCKfgWKLJsgG8WrIVS8C1QZNkA3yxYC6XgW6DIsgG+WbC2TikCBq0zSbVCdCH6FgQMfFTCaQe/vtNM79pp9m+/ey44EJYYlKBAAgUNEDwYMInZwk0lhlZz2XKwa+bpvXNBLwS7mplpc+G/WoLN8uDbzEebC75ags3y4NvMR5sLvlqCzfLg28xHmwu+WoLGNPV7n3jiCbPi3LfhIS89Zq8G+K8XS7JE8E2G0qsIfL1YkiWCbzKUrVXU24DBSy+9ZH74wx+affv2zf0tWbLE/OhHPzKvec1rzPHHH29ovwsLXYS+BQEDH5X6NOpo7rt982yg4J76QswcGzhYfM06s2DZiUypyS6Gm4ne/gh26RlKNcB/peR4cuDL4yQtBb5ScsNyTZNWVBq/TBxmpk2B/2oJNsuDbzMfbS74ygnafu++LZujldixGh7yikZXEYD/VnCodtB/UOETCcN/RdjYQuDLRtXpgr0IGNCTBV/60pfMl7/8ZfONb3zD0P4PfvCDRsMcddRRc4GDn/mZnzGvf/3rzS/+4i+aX/mVXzHLli1rlBt1Jl2IvgUBAx8Vf9q+j282ks6mX9sg1XZGl2y8ZZCIrVoCuKnUomnMQLCrEc/IMuG/eVGDL/jmJSDXjkkrObtUkmgf9CSbJqvwhLaeb5MG+G8TneE8anMPbLs7yUNepH3RxZfi1+HDmNkp8F82qqGC6D8MIRl5Avw3L3Lwzcu3Ddo7HTC47777zM0332y+8IUvJGN5wQUXmD/8wz80v/RLv5RMp0YRXYS+BQEDH5XhtOevudJM7945nPGTFOpE0hOBv/z/fND8y7e+PfeLARpU0TIz+z0DO8Bq0rHwzFXmqI0349cGP2HqW+Fm4qMSTkOwK8xoFCXgv3kpgy/45iUg045JKxm31FJoH+RE7WQVXsMpZ6iVhP/GEXxx4w3JAgXlI+MhrzIN/jb8l8+qXBL9hzKN8W3Df/OyB9+8fNuivZMBA3rN0NVXX222bt2ajeNFF11k7rzzzrlXGGU7CEMxXYi+BQEDH5VBGt2oqdNJ73V3F5rgX7T60tm/NZWspkaPAgekkz6S7AseUEeUfmmADyNXkFZ2mvhWCmJnjgA32LXwrFVmatb/pk5Ybmb2Pjkni2BXeieC/6ZnWtYIvmUa6bfBN44pJq3ieOUuDf+NI0x9VryGM45ZztLw3zBdGmPRQzK+MZaVtg952X4vvRaWfH3FihXmOzseYD3kReO1Yz6+FQ95WaiMNfyXAalUBP2HEowWbMJ/8xoBfPPybYP2zgUMKFhw/vnnm127dmXnRx2Qf/7nfzZveMMbsh+r7gB0EfoWBAx8VObTqNP547VXDhWgTiJ9d8ANFFDBmMZu/+zPZGkg5gYjEDQYQl4kxPAthCZ0A8Gu9hke/pvXJuALvnkJ8LVLJq0kwVpMWvFtgvaBz4pK4peJcbxyl4b/hgnXjdtIsu4hL6vVx5fzkFfdeNDqxXqegI8v2PgJoP/g5zLOVPhvXvrgm5dvW7R3LmDwe7/3e+ajH/1oLT9y3BNOOMGccsop5md/9mfnPm5MHziempoy09PT5rDDDjMvv/yy+Z//+R/z3e9+1zz++OPmmWeeqdV32mmnmYceesgcccQRtWVyZtD5+BYEDHxU5tOeW/2Oocl86nAec3vzL1JiGr26p7cwCVBvlxi+9Vr6nVM3aGoKdlkiHL4Idlla8WsO33itkLAEwNeSyLMG3zDXuvaXJDFpFeaXswT8l0c39peJkie06VrAazh59rCl4L+WxPC6rt0lP1u8dh3rl9tNfKnf6/t1OKdfPVzbyUxp4juZRIbPus6PqST6D8O8RpkC/81LG3zz8m2D9k4FDL71rW+ZN7/5zUPcKCDw67/+6+aKK64w9A0C2o9ZKHDwj//4j+av//qvzcMPPzwk+oEPfMDceuutQ+mjSKCL0LcgYOCjYoxvsEQ/YQ19mFjS2FHQgDqh7geVqWMQCk74a9/fVAnf/tKoPzMEu+rZjDMH/puXPviCb14CYe11g33OpBXHfzFpFbZBXQkO3zrZSUkn/419Dadl4+PLeUIbr+G0BJvXPr7NEpOT29TucsdRHL54yEvuUxy+cu39kGzy41DQi8MX/Qe5n3D4yrVDEnwnwwc6FTD40Ic+ZP74j/+4Yplf+IVfMJ/61KfMSSedVEmX7Bw6dGju1wt/8Ad/YF544YVCxatf/eq5XyEsWrSoSBvVBl2IvgUBg2EqvncGcoIFVpO00fP9/DvmuPb4fV9L+fadiz0/abDLysfwRbDLUuOvY/jytaKkJQC+lkSeNfjWc20a7GPSqp7bKHPgv/W06/w35gnqJr74ZWI9e25OE1+ujj6W8z0ks+TDN3tfHdt0/ly+5Msv3rS+ogq/DK/g8O5w+XqFe55Y1/7GPDzI4Yugl9yROHzl2iEJvv33gU4FDFauXGl2795dWOUtb3nL3LcMFi5cWKSl2Pj7v/97c/nll1dU3X333ebSSy+tpI1ihy5C34KAQZUK3Uifu+SdlcTUN+uK8tKO7yaODmgJ0OwmbiZVHu4egl0ukXbtw3/z2gN8wTcvgWbt2kmrWP/FpFWzPdzcWL6ufN/3ff6buv/r6+cSV/R1w94F//Uz8j0kc/Tsx4gPW7nKL1CTGsvX1/7iIa8auLPJsXzrNfUzx9f+xgS9Yvn6/BftcL1vxfKt14QcHwHw9VHpX1qnAgave93rzH//938XVvjiF7849wqiIiHhxmWXXWbuuuuuQuOGDRvMH/3RHxX7o9qgC9G3IGBQpeJOuNLNc+m2r1QLBfY0jR4Npp6f/dBy+UPI6IBWgWv4VjX1a08b7LI0JHx9kwDoeFqi1bWEb1UD9poIgG8THX0e+PoZYtLKz6VtqfBfv0V8/ivpe3L4Un8Br+H02yGUyuEb0tGnfN9T2RK/tUxi+fp+GS4JVtjj930dy7fvPOz5+dpfiR/F8vUFDTTXjz2fvq5j+faVQ67zAt9cZNujtzMBg5mZGXP44Ycbem0QLfTx4n379s19zDgHzi1btphrrrmmUP07v/M75hOf+ESxP6oNugh9CwIGAyq+CdeY6D5pStHYuTdwmnjFO17n7ZSC78Di/dpCsKv99oT/5rUR+IJvXgJ+7akmraT+i0krv13cVClfV0/f9t2+A52fZNIolq/PbyXH7Zs96s4nlm+dnj6luxOtMb+IcTlI+NK48YWN68307p2FOk0dCiU93JDw7SGGoVNC/2EISSsT4L95zQK+efm2RXtnAgYvvfRS5WPGJ5xwgnnqqaeycbzvvvvMhRdeWOj/1V/9VbN9+/Zif1QbdCH6FgQMBlTcQZPk1wWkLUWj53aCMYga2CkF34G2fmylCHZZEhq+CHZZivVrDd96rcixBMDXksizBt9hru79WjNhJOGLSathm9SlSPjW6epDuq/vMCr/pWPvu32z2b/9ngIlfplYoPBuwH8HWNz+JuVInsoeaJSN33wTvtp6lOvUp23477A10X8YZtLWFPhvXsuAb16+bdDemYABwTr66KOLjxHTB4jpFwbkpDmWj33sY+baa68tVP/ar/2a+cxnPlPsj2qj7vwQMBhYwH1/YOyvC0hTqsbO7QhLgxeDs+vHViq+/aAxOAsEuwYs2rwF/81rHfAF37wEhrW792oqIZ0s0vgvJq2GbeOmaPi6uvqyn6rvQDwkfClogNdw8rxJwpenuZulXN/VPlil4Zu6Lt20SHOtNXybNXc3F/2H7tgO/pvXVuCbl29btHcqYHDKKaeYb3/72wW7z33uc+Zd73pXsZ9y48orrzR33nlnofJ973ufoSDCqBe6EH0LAgbzVHxPWb1m13d8yIJpKRo9X32kkxDBCnesQAq+HTvlYHVTBLvsQbR83Q4wgl2W7Pxay7eqDXsuAfB1iaTdB98qz9QTRRq+qetSPdN+7Gn49oPA4Cx8/UzJgzIDjbKgga/PgNdwlqkOtuG/AxY/OuvnBjuzW0s/+2WzYNmJlbTYHSlf91pCv9dPXsrXr637qanv2Rq+qevSfesMn4GG77A2pLgEwNcl0r/9TgUMLr30UvMP//APhRXe8pa3mM9//vPmuOOOK9JSbHzve98zb33rW81zzz1XqKMPHtOHj0e90EXoWxAwmKfivktV+qRKysbO/ZmitE4+u3c1LSXfrjJw6+0OVCgfwS6XUjv24b957QC+4JuXwLD2lJNWWv917wWYtKraS8u3qq37e+4EkdZfNHzR3w37k4ZvWHu3Svh+USXt99oz1/J1fRgPeVmy82st36q2fuyh/9AdO8J/89oKfPPybYv2TgUM7rnnHrNmzZoKu2XLlpm//du/NW9/+9sr6dKdRx55xFxxxRXmscceq6jYuXOnOeeccyppo9ihC9G3IGAwT8UdOGmeskrV6LlPXSFgMG+rVHx910MX01IFu+y5p+DrDpzgu5au7AnMgTS2QgRS+G/oGJOcD74D62PSasCiK1vw34GlUv4y0WqV8nX7u9rgha1P39ZSvn3j4I7ZFl+9zixeu059mhq+rg+j3ztsDg3fYW3dTkH/oXv2g//mtRn45uXbBu2dChgcOHDArFixwjz99NMVdlNTU2bt2rVzryc6//zzzate9apKfmjn5ZdfNl/96lfNX/3VX5m/+7u/MwcPHqyInHzyyeY735G95qaiSLBDF6FvQcBgnoo7wSl9MiRlY+d2JjQfovPZvotpKfl28fx9dXYHTgh2+Si1Iw3+m9cO4Au+eQlUtbttr3bSKoX/YtKqaqPyXgq+ZX1d3nZ/jULnMs4ntH31kfbDu2yXprrDfwd03LZX0++1WrV80fZakv61lq9fa3dTXR9G/6HdtoT/5rUP+Obl2xbtnQoYELQvfvGL5pd/+ZfNoUOHvAwXLFhgzjzzTEOvKzrmmGOKP/pgMk2y79+/37z00kvm+9///lzg4T/+4z/Mnj17hoIEZeX0y4Z3v/vd5aSRbdOF6FsQMJin4j5ppXkXZqpGzx1A4YmreVul4uu7HrqYlirYZc89BV8EuyzN4XUKvsNakWIJgK8lkWcNvgOu7oAfk1YDNm3dgv/OWyb1LxOtvTV83b4MntC2VAdrDd+Blu5vpRyzlWlo+KLfWybp39bw9Wvsbir6D92zHfw3r83ANy/fNmjvXMCAoP3Zn/2Zuf766+cCALkhXnvtteajH/1o7sPU6qeL0LcgYDBPxX2PoPRJq5SNHQIGwx6bku+w9m6mpBw4peIL3/X7Uiq+fu1IBd+8PgC+Vb4p217SnIIvJq2qNirvpeBb1tflbUxWdc968N+BzVK3vaRZyxf93oF9fFtavj6dXU5L7cMp+KL/UO9RKfjWa0cO+E6GD3QyYECm+ad/+ifz3ve+t/Jh4pQmo18qbNq0yXzwgx+c64yk1B2jiy5E34KAwTyVVAED0pay0UtZL5/9u5iWkm8Xz9+tc2ofScEXAyfXSoP9FHwH2rDlEgBfl0jaffAd8Ew94CfNWr5oewf28W1p+fp0djHNfZo/1et/NHwxWRX2JA3fsPbulEjd77VnruWbq162fl1fa/l2/fzL9Uf/oUyjG9vw37x2At+8fNugvbMBA4L37LPPms2bN8/9/ehHP0rCkwIF9GHl9evXm5UrVybRqVFCF2HdQkEDe5FO6vrR019vlh++sED01j1PmCf2Hxwrl5m9T5rnLnlnUSd6JdGrt//L3C9iJtVOOO+fGrL/D1eeXPgIbdCvY9rAqa31QnuH9r4N1wf8sPt+6E4Ovfbrjw+1z+Owc1vrhetu+P49Dv8gOzx78fnm0DN7i74DvYZz6oTlY/XfkxYdZh4+7aSiTk8emDZv+T/fa0V/Zlx2wnH994k2+i9dV+j3+u0FPx7m0tb7dFvrhf5De/oPOa/nogOAjV4S6HTAwFqEvktw//33m89//vPmX//1X80zzzwz942CF154wRapXR9xxBHmpJNOMmeffba54IIL5r6PsHz58tryo86ghta35Lzou9S4/+/V7zHTu3cWiOhpq8PPOnesg6fzjjnSfPaNy4o6ffXHL5vVjz2FwdOsL8NvB51PBLvgD7geBtdDl+47sFu37YZJq27bb5KvvzZOCuEhGVxP3Pv3tlNONG87+ohifHTJt582Dzz/0ljHRwd2PWh+vPbKok4Lz1xlXrXlToxX8FCi1y/Rf0B7x23vJq1c0Yhio3cEehEwqLMKfdz4v/7rv+aCBz/4wQ/mii1evNjQ35FHHmmWLVtmjjvuuLkbQp2OcadTY+NbaMCExZhU73O1jXoKprk+SpeibuPSkZLvuM4h9XFTvlogFV+8WsBv5VR8/dqRCr55fQB8q3xTtr2kOQVftL1VG5X3UvAt6+vythswkH63q8wgBd8c9SrXscvbKfh2+fzLdU/d9pJuLV+0vWULDW9r+Q5r7HZKah9OwRc+XO9TKfjWa0cO+E6GD/Q6YNAHE9KF6FsQMJinsn/b3ebFm9YXiBZdfKlZsvGWYj9mI1Wj5wYxFl+9zixeuy6mKr0sm4pvX+C4frLkwzebRavXiE8vBV8Eu+rxp+Bbrx054JvXB8B3wDf1gJ80a/liwD+wj29Ly9ens4tpOd6fTRw0fPH9jbAnafiGtXenhNvv1YzZymet4evWCWO2Mtn5bQ3fYW3dTkH/oXv2g//mtRn45uXbBu0IGLTBCg11oIvQtyBgME8l1UAlZWPnPmlF75hdsOxEnxknJi0l375AQ7CrO5aE/+a1FfiCb14CVe3uBJF20iqF/7p1wqTVwGYp+A60dXsLk1Xdsx/8d2Azt99L33hbuu0rgwKCLS1fNwinfXhHcAqtFtHybfXJCSrn3qvRfxBAHKEI/DcvbPDNy7ct2hEwaIslaupBF6JvQcBgQCXVACpFo5ejMzw4025vpeDbbQLV2qcKdlmtKfgi2GVpDq9T8B3WipT/n71zAbqsqO59Zx6Mw1tFLV4CETUm6jUMMpQgQiVoUjJomJhcJTGJZRgf5WhExUeU0VJSYDTlVESBGLUi3GiURMCUGmM0vgCHl1hRERAEBhS98hrnDsyMd9b30efRZ+3dq9fqfU73Pv9d9X177+5efXr/1tqru/faD08AfD2JbtbgO+TaRT9t5YuLVkP9cFtWvlydNaaFF6tyXdy08MWTiXFLsvCN115PiXDcSy2nb88tX7XadBBavlx7crzmy3QwBQpr+RZ4KOYmYfxgRjj1CmC/3SIH3275llA7AgYNWti5c6f79re/7ZYuXbrwvYPf/M3fbCjZbTKdhNyCgMGQSo7OO5ezC4MXuEtwUU+5+A613o+t0F60E6ccfHOcR/3QyuRR5OA7WStSPAHw9SS6WYPvOFfuIpHW91LNVr5ce3DRaqgzK99hTfVvhf209e5WImLlGwYxMO4dtzMr3/Ha6t8Lx71WG7bwzd2W+rUzeQQWvpO11Z/C9dcYP5SrV9hvt7oB3275llI7AgYNmnj/+9/vTj/99EHu5Zdf7lavtt0BMagsYYNORG5BwGBIheu8NXddWZ1eOJGjFloGEcMj7MeWlW8/KIwfRWgzlsezrXzDiRMm/eO6svIdrw17IQHwDYnk3QffcZ6hv8NFq3E+pe3Bfhc1Eo53LWOGUR1b+OLJxFGS/LaFL19jvanhuJeOxDpX0vANvxuTox31aqW95Rq+7TXWnYvxQ136g/12qy/w7ZZvCbUjYNCghbe//e3u3e9+9yD385//vHve85432J/WBp2E3IKAwTiV8A6n1ElUDmcXvlLAegFi/Ajr3svBt24CfOvDyT+VQrCLZzXLVNhvt/TBF3y7JTBZe86LVhb7xUWrSd2EKRa+YV192A8vVs3iYqvnGJ5HqWNvX0+f17DfSe2GNrzsiNVu7/MvnCwoSNHyzdkGQTOrLaLlW+0BCxoe+j0S0fphC1+MH+LKsvCN144S4DsfNoCAQYOeETBoAFNoMnfhNXUAanF64cCTMOFjx+PGYuE7XlO/9qzBLk/DwhfBLk+xeW3h21wrcjwB8PUkulmD7yTXsN9OHTOM1qjlm7MNo+3p27aWb9840PGEF6tyXKTX8g3tF08m8han5cvXVn8qd6HTYjupfEO7JaLaC771ayN+BKl84zXWXyK0IYwfytUp7Ldb3YBvt3xLqB0BgwYtIGDQAKbg5PDDa9RU6QDU4uzCC74pv1swzqxNs/DN2pACK0Owq0ClBE2C/QZAMu+Cb2agQXXgGwB5eDfXRSst3/CCAzULF60mdaXlO1lTP1K4MYPmyURPQ8s3DFxQfbBfT3W41vId1tDPrVxzp1S+nN/HE+HNNpbKt7mmfuVwdiS95jBKQssX44dRis3bWr7NNSJnlAD4jtLo7zYCBg26RcCgAUzByTSJ2nr+RrftsovHWintwDVOjxvwWu4yGGt4z3Y0fHuGoPFwLMEuX6mGL2e/0vPF/+68rDV854VNjuME3xwUm+sAX55NLh+Yype72ICLVryOKDWVb3NN/cgJ7db6lIGGL55MlNuShq+89jpL0pztvnWnup133jE4ALLjFSetdSvXrR+kSTakfDm/az13JO2rvYyUb+3Hmdr+0A+TvGYOlcqXs2OMH5q1l8q3uSbkcATAl6PSrzQEDBr0iYBBA5jCk7kBKDU5dhFf4+y46D4GnryBaPjyNfUzFcGusvUK++1WP+ALvt0SaK6dGzOkXrRKtV9uso+xQ7OOUvk219SfHLLbe04+fuyAYuPcscIjOxq+3PgXr+EcgTqyqeE7It7rTc6O6YBTLn5K+XI2S7+Fp2KIQvMi5dtcQ39zMH4oX7ew3251BL7d8i2l9qoCBuvWrXMXXqj7KFIq8AcffNA99NBDAzF89HiAoviNpgEoTchXnrberVizlj0GqdOjx7DpSYbRu2J8hRh4ehKTaynfScn5SOEGnnTk0osAKXy5iRMuWLXbWQrf9pqQyxEAX45KvjTwbWbZNGbARatmZtPOgf1OEs/xZKKvNYVvrrtq/W/PwzqF7zzwGD1GLoBK+TQm3WPDOW75qtWjxdntNr5UP9ks5mwsOlFiG19RBT0uhPFD+cqF/XarI/Dtlm8JtVcVMHjmM5/pNm3aNBNuCBjMBLv6R5suvlKF3CBU4uzaAgVcnerG91BQwreHh518SE0DT7IvBLuScWYTgP1mQ8lWBL4slmyJ4BtHabloJeGLi1ZxHTSVkPBtku1zOo0XLK/h9GxS+HLBAulNDf735m2dwnfe2PjjbfK/lE/2Ra8oagocNPGlOimotv3qK/zPjK1xg9cYjsadJr6NAnOY0WS/kmsDEr4YP+iNSsJXXzskwXc+bKCqgMEznvEMd911181EMwgYzAS76UebJlO+UurIaQC6bNffkgMOcoc/61h367bFp0pIdseu92rSevuuQWf4XQRfB60xWRql0byNTqWZzWgO2Vz4Xlef3zb4bOOLYJcnqF+38dXXCklPAHw9iW7W4Bvn2jTpJ0lctIrz67IE7Jen2zReSB2XSvjiyUReB5JUCV9JPX0u02TL/pj9nG23h58SX7prDkdzN1oOWbHc3fjNr4vnbHtuOHsg6+vHupkA7LeZjc/B+MGTKG8N++1WJ+DbLd8Saq8qYHDccce5r33tazPhhoDBTLCbf5QGoNsuvdhtvWCjuS6ugpRXFnDy85KGziRN02S33J2DvhY/cUKwyxPpdg37Bd9uCXRbO+xXzldz0WrpgQe7X/3qVwsXq1JuNMBFK5leYL/tnMhmw+8ZkASNE9qeTPS1xvi23XCAu7Q9xeZ1jG+z5PzlxMa+ViKYs6UThP3KmWH8IGc1rZKw325Jg2+3fEupvaqAwcc+9jH3F3/xF2PsDjvsMHfssceOpeXYufbaa931118/qAoBgwGKKjdyD0Jp0EkTMX93S5VQptxodCppwMlmEexKY9Zladhvl3SdA1/w7ZaAvPbc44Xwl3HRKiQS34d/aGfUdqGq7clEXyvHty1QIKnT1401+rdUGyB7fmDDGY2vE0qtj564QYA2ldqwPOcfhrnYGiWA8cMojTK2Yb/d6gF8u+VbQu1VBQwI2O/+7u+6//zP/xywe/rTn+6uvvpqt3Tp0kFajo23v/3t7t3vfvegKgQMBiiq3qCOnB4bpAuxTe+1bDpAf1c3AgVNhJrT0Zk0s4nl5B58ItgVIz6ZD/udZJIzBXxz0pysC3wnmUhScNFKQqn7MrBfGePYWMGPYf2Tif6VLsR3xx234TWcMszJpWC/ycgGAt4HUwLmbAMsU92A/epwe9tNtdumX0PQq4lMezrst52PNRd8rQTrkK8uYHDTTTe5pz3taW7r1q0Dwhs3bnSvec1rBvs5NhAwyEGx7DqoM6fgAX2jYMfmO9yPLv+GO3i3ZQuNponVkv0PcksPWFyvWHMKniYwqhOdig2gt1cEu2wctdKwXy05mRz4yjhpS4GvlpxbeNUQ3e1KS+rk31+kxY0Gev4kCfuV8aNxAp5MlLGaZinYr522HwP7OdvOO293O3d9a46W2x7c7g47+pjBnG3ZkasbP5Jsb8n81QD71euc7BbjBz2/HJKw3xwUm+sA32Y2fcmpLmBA4N/73ve6N73pTQMd7Lvvvu4HP/iBe+xjHztIs24gYGAlWJc8nF23+gLfvHzDiROCXXn5hrXBfkMieffBNy/PsDbwDYno90PfO3rRKrzRABet9JxHJWG4ejvrAABAAElEQVS/ozRk22Snbd9BktUyLIUnE4csUrdgv6nE0sqDbxqv1NLgm0qsuTzGD81susqB/XZFdrFe8O2Wbym1Vxkw2LFjhzvqqKMWXkXkQdK3Df7xH//R75rXCBiYEVZXAZxetyoDX/DtlkC3tcN+wbdbAt3WDvsF324JdFs77FfH11+gwpOJOn65pGC/uUjy9YAvzyVXKvjmIsnXA748l1yp4JuLJF8P+PJc+pRaZcCAFHDNNdcsBA22b9++oA8y1m9+85vu6KOPzqIfBAyyYKymEji7blUFvuDbLYFua4f9gm+3BLqtHfYLvt0S6LZ22G8evj54wL3SJXw6Bq/hzMOcaoH95mPJ1QS+HJV8aeCbjyVXE/hyVPKlgW8+llxN4MtR6V9atQEDUsUZZ5zhzjnnnIFW1q5d6z796U8P9i0bCBhY6NUpC6fXrd7AF3y7JdBt7bBf8O2WQLe1w37Bt1sC3dYO+wXfbgl0WzvsF3y7JdBt7bBf8O2WQLe1w37Bt1sC/a+96oABffj4j/7oj9yVV17plixZ4l70ohc5+gByjmXTpk3uLW95i/vFL37hDj74YHfBBRe4/fbbL0fVSXWQk+OWX/3qV1wy0pQE0JkowQnFwFcISlkMfJXghGLgKwSlLAa+SnBCMfAVglIWA18lOKEY+ApBKYuBrxKcUAx8haCUxcBXCU4oBr5CUMpi4KsEJxQDXyEoZTHwVYKrTKzqgEFlrFXNpRORWxAw4KjY0uD0bPxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGrQRoBg8K1RCchtyBgwFHRp8HZ6dlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzq0kSAYPCtUUnIrcgYMBRsaXB6dn4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjV4M0AgaFa4lOQm5BwICjok+Ds9Ozk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZ1eTJAIGhWuLTkRuQcCAo2JLg9Oz8YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxq8GaQQMCtcSnYTcgoABR0WfBmenZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV8+uJkkEDArXFp2I3IKAAUfFlganZ+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjF5MG3xghWz742vjFpME3RsiWD742fjFp8I0RsuWDr41fDdIIGBSuJToJuQUBA46KPg3OTs9OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+eXU2SCBgUri06EbkFAQOOii0NTs/GLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bvxqkETAoXEt0EnILAgYcFX0anJ2enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPbuaJBEwKFxbdCJyCwIGHBVbGpyejV9MGnxjhGz54GvjF5MG3xghWz742vjFpME3RsiWD742fjFp8I0RsuWDr41fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn41SCNgULiW6CTkFgQMOCr6NDg7PTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2NUkiYFC4tuhE5BYEDDgqtjQ4PRu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38apBGwKBwLdFJyC0IGHBU9Glwdnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17GqSRMCgcG3RicgtCBhwVGxpcHo2fjFp8I0RsuWDr41fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+NUgjYBB4Vqik5BbEDDgqOjT4Oz07CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tnVJImAQeHaohORWxAw4KjY0uD0bPxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGrQRoBg8K1RCchtyBgwFHRp8HZ6dlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzq0kSAYPCtUUnIrcgYMBRsaXB6dn4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjV4M0AgaFa4lOQm5BwICjok+Ds9Ozk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZ1eTJAIGhWuLTkRuQcCAo2JLg9Oz8YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxq8GaQQMCtcSnYTcgoABR0WfBmenZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV8+uJkkEDArXFp2I3IKAAUfFlganZ+MXkwbfGCFbPvja+I1K79x8u9t26cVu5523ux2b71hY77zzDrdk/wMXii3Z/yC39IDF7d3WrHXLV60eFce2ggDsVwEtQQR8E2ApioKvAlqCCPgmwFIUBV8FtAQR8E2ApSgKvgpoCSLgmwBLURR8FdASRMA3AZaiKPgqoFUmgoBB4Qqjk5BbEDDgqOjT4Oz07EJJXGwNiXS/D/u1M37oqivc9k1XuK0XbEyujAIJFDRA8CAZ3YIA7FfHTSoFvlJSunLgq+MmlQJfKSldOfDVcZNKga+UlK4c+Oq4SaXAV0pKVw58ddykUuArJaUrB746brVJIWBQuMboROQWBAw4KrY0OD09P3+xddtln9l1N/YdSRXhYmsSrsbCsN9GNK0ZZLsPXvoZt+2yi1vLSTNXnHQKAgdSWCPlYL8jMDrYBN8OoI5UCb4jMJSbbTcb3Hrrre6wo4/Bk11KtjEx2G+MkC0ffG38YtLgGyNkywdfGz+SRv9mZ6itAfarJSeTA18Zp5pLIWBQuPboJOQWBAw4KrK0tk6basDrRmQcqRSx3Hr+xiwXW33gYOVp692SAw6SNwIlHTprnRFs2fCmLLYb/rq35T02nBNmzf0+/O/0TQD+oVvm4Kvn6282wJNdeoZWSdivlWC7PPi280nJxfghhVaesrBfPUf0b3p2Gkn4Bw01mwz8g41fLdIIGBSuKToRuQUBA45Kcxo67WY22pyt521Uvb4l9nu42BojxOej0+a5cKnkD8h+t199BZe9kEZPClDwcNmRq93SXa8cWnrgwW7HHbct5O3Y9RSNH5i21UG2vPd5F859AAz+t9HMppYB/2BH7c957tsmuAM+jS/5BDzZlcasy9LwD3a68A92hlwNfvyAJ5g5OtNJg39I44z+LY2XpbT3D7jpwELRJgv/YONXgzQCBoVriU5CbkHAgKMymYZOe5JJjpT7Tju184uty45Y7fbccPbcX2yV6AudtYTSYhnyCfevO5UVIJtbseaUXX9rx/Lb+NJFAqqTPpLMBQ8oaEBPzYR1jv1AT3fgf8tQbJv9ltHCcltBNoxvm+TVD57sysvTWhv8g56g9w+4mK1n2CRJYys8wdxEZ3rp8A9prNG/pfHSlsb8Qksurxz8Q16epdaGgEGpmnm4XXQicgsCBhyV8TR02uM8cuxRB01cue8UNF1s9b/LdSqSi630Whf6oCyWdgIc33aJ+csl++WCBWS7K9etb7UzCd9t9C0EJnAwj0ED+N+yzi+J/ZbV4tm2BpPR/PyJaeqTXfR6QhonHHbYYe7Gb34dT3blV8tCjfAPaWBxMTuNV2ppPMGcSqzb8vAPcb7o3+KMcpXA/CIXyTz1wD/k4VhyLQgYlKydXW2jk5BbEDDgqCymaTptvG6kmafPIa7cxVbJxVBJZ0IXW+luojAYQfUjaOC1wK8lfHnJ+Ultsl8KFux9/oWtIFL4Nl1IIDueh9cTwf+2mtJMMlPsdyYNLOxHMRnNr5Am/0u/1NXNBvP6ZFeq9uAf0ojhYnYar9TSeII5lVi35eEf4nzRv8UZ5SiB+UUOinnrgH/Iy7PU2hAwKFUzD7eLTkRuQcCAo+IWXg3CXdSm0piU8sykqfesec7ExXzJxVZfv6RTmfeLrZ6VZi3hq6m3LzKc/e5x5tniVwWl8qUA2JZ3njGGr+9BA0yaxtRd1E6q/RbV+Ck1RjMZxR3wceU0+QUaP8Se7PK1t9kvnuzylPTrNr76WvsnmXoxW+Mf6LyYx9dxkp/AE8xlnjPwD816Qf/WzCZnThNn+g1c38lJOr0u+Id0ZrVJIGBQuMboJOQWBAwmqTR1JpJJqcTZzfOklJsk0Udh6c5/ySLh6+uhoAG91iX8gBHpMXYnuK9j3tYpfOeNDR0vZ7977foYsfRVV1q+XNAg5bypSVfwv+VqS2u/5R5R/pY12S/9Eiajet5NXFP6c4n94mYDvY4kfPW190OS7BgXs7vTZZOfwBPM3TGX1gz/0EyqyW7RvzUz0+S0cY7ddCCx33m+vqPRx6iMhO9oeWzXSQABg8L1RicityBgME6lrTORXmSWOL15nJRyr2fQXPSU8B3VKvfYt+Z3R+vs83Yq3z6zGD02zjdo7EjLl7PjlGDF6LGUus0xprZi0lSOxrT2W84RdNeSNvuNTUZ9q9r4zvNk1Ppkl4SvL0NrLkjb9ye7Ro9fu91mv9o6+yLX5B8kF7M9gza+ZLPz/jpOzk9g/OCtZ/brNvudfetm1wLOblOeXPYtl/Kdx/6tyf/CP3jrmf1aar+zbylaoCWAgIGW3JTk6CTkFgQMxqlYO+1UZzcvnTYFSO45+fgx2CmdtBdM5UtyXHAGE39PdHyt4TteQ3/3wqcLpmW/nijZ8QMbznDbr77CJyVdSB8IFbwB/1uwcnY1Df6hWT+YjDazseaEvpfq0wRLU+2XG59pgsTW469FPpVvLceVq51c/5YyjpDw5ca71P55GPNyfiLlfJXw9bZAnPEEs6chW6fwldXYj1Kc3aJ/y69bzv+mBGVS7ZcbP8yDH9ZqLpWv9ncgN1sCCBjMln/01+lE5BYEDIZU0GkPWeTeCp8uoE5z30u/qvoZTadCg/v71p069u2ElImEqqGVCmn4Vnqo4mZzAz/NgJ5+0MKXuyipbYf44KdUEP53SqCNP2OxX+NPFy1unYz6g5Py5XxSHyejnM+z9N1Svl4f8/Bklz/WHOtUvjl+s4Y6uP5NY8cSvvN4MTucY5BNdMV31N44/6D53dE6+7wtsd8+H394bOjfQiLd7HP+VzN3SrVfbpwG/9Cs41S+zTUhp1QCCBiUqpmH20UnIbcgYLBIJVenrXV23KBT05lxOp51Gk1ewqcLUqL6o+3X8qU6wo6bLq7QtxOk758fbUdfty18+8qEjiucjGoHfDn45mpLSfqC/y1JG81tyWG/zbXXm4PJaHe6C9mm3JEdtkpjvzR+6fuTXSEn7b6Gr/a3apIL+2xqu2YMkcqXm1dofrd01twcQ+MnUvkSF/pteg3UtssuHmDqY+B2cHCGDQ1fw89VIYr+rXs1YX7RPeMcvwD/kINi+XUgYFC4juhE5BYEDBapoNPmrCNPWjhZsjxdQC2ydCqhnvs4ebJqzcLX+tulyv/fIw8fa9q+l3zFLTngoLE06Y6Vbzg5tp5P0nZ3WS48LzWTfd8+DV9cFPT04msN33it9ZbINRn1BFL5chcF+3KzQRjkJ0bWY0vlS7/J6djaDqq3j4uGbx85+GMK+2tKn1b/Ni8Xs3POMTT2S5zxBLO3+Pa1hm97jfXmon+bju4wv5gO5xy/Av+Qg2LZdSBgULZ+Fi6yck1EwGDyznPipJ0MWpxdXyel4asatE8XkF4sfEk+HKD14WIrHVeuxco3VztKqoc7Lx+16UZVE3PxDQfAWn+lOojMQuE5SdVrj8fCl9Ozth2ZERVTnYVvMQeRuSHhuTiti4H+MPoc7AovBFoD/Bb7zd0Wr78+rS18+8Rh9FhCu7GMOTV8+34xm44PTzCPWly52xr7Lfdo7C0LfQP6NzvTsAbML0Ii5e7DP5Srm5wt613A4O6773bf+9733L333uvuv//+hb/dd9/dPfDAA26fffYZ/D3xiU90j3vc43Ky7KQuOhG5BQGDfK8b8XwtTi/3AMK3aVZrbjCvvdjqj8HCl2sPLgp6sotrC9/xmvqxF56TK/9yvVu5br364HLwDQfB1omG+mAyCIZ8rcdi4Zu7LRnwFFeFhW9xB2NsUHgeUnXW/kTDt6/BrpxPdnlVa/iSbDh2sFz49W3p41rLt48sQpuhY7TcMEPyGr6hnyLb7cvrOMM+23peaviSXmgJg8fWscxirf36b+HbLxLOoX/rXqOhf7Cekxb7zd2W7ulN/xcsfKffWvyihkD1AQMKDHz84x93X/jCF9y1117rNm/eLOZw8MEHuyOPPNIdddRR7iUveYl7/OMfL5adVkE6CbkFAYO8nbbV2YUTDOvgl9P5NNPC1yXMsrP2x41BvScxubba72SN9aeEgzzLhD8X3/ACgPW8mqWWck6arHz75n9z69XKN3d7Zl1f6Bus56GFb+62zJotFwSZ5c0GxCMcO1iDQ7NmnPv3Lfabuy0l1Beek9bxvIVvaLtWX1UCX2oDnmAuRRPxdljsN157XSXQv01HX5hfTIdzjl+Bf8hBsfw6qg0Y/OQnP3Fnnnmm+8QnPuG2bNliJr106VL3whe+0L32ta91z372s8315aqATkRumfeAATptzirypYUTJsvFVt8qa6fSp4utnknOtZVvzraUUFc4IbV8v4COJwff0G9ZXoMyS8bhcVBbcFFwlhqJ/3YO+43/Sh0lck5G/RFr+fYt2BWOHaxPdln5kjzGDp5i81prv8011psTjh1mOf4NbdcavChBK6HPozbNcvzAtQdBxXFLgX9Y5IH+bdwuutjD/KILqt3WCf/QLd8Saq8yYPCd73zHrVmzxv34xz/uhOFJJ53kLrroIrfXXnt1Un9KpXQScsu8Bwxyd9o5nF04sK/5TqDwribr4DkH33AQUevFVu58tqbl4GttQ2ny4aTfEjDIxTecmNY6+Yf/Lc3a29uTy37bf6WO3LAfoVbP8mIV/X7u/pbqnNUS+oZZXmz1DPo0NvPHlHMN/zCkGfbRlDNL/8C1xzoeHx7tbLbwBPNsuGt/Ff5hSA7925BFV1shY+tNBznsF2OIZm3n4NtcO3JKIVBdwGDTpk3uhBNOWPgmQZcQn/a0p7lLL73UHXLIIV3+TLRuOhG5BQGDN7ltl108QINJ6QBFlo2cF1t9g6ydSjhxqvViq+eRe23lm7s9s64vvIt4lpP+URa52zVa97S2wwE9/O+0yOt/B/5hkV1ou9bJqNeIhW+fJqNdjB2IsYVvGCTCzQbeaodrC99hLfVv5b6Y7YlY+IYBxZpvRiIeoQ/G+MFbSblri/2We1TpLUP/ls4sVQL+IZXY7MvDP8xeB123oLqAAb0u6Otf/zrLZb/99lt48uBJT3qSO+ywwxY+cLxixQr3vOc9zz300EMDmfe///0L+zfddJP71re+5a6//vpB3ujGYx/7WPeNb3zDHX744aPJU92mk5Bb5j1gkLvTzuHs+jQpzX1RMwdfBAw4T7CYloNvc+115uT0ETn55j63ZqGdnGyp/Tn49sn/5tZpDr652zSr+jAZ7ZZ8bt9ArbXaL8YO7Tq38m2vva5c+Ifu9RUGQKxPTOSwX4wfmvWeg29z7XXloH/rXl+5GeewX/iHZr3n4NtcO3JKIVBVwOCSSy5xL3jBC8bYkaG++MUvdqeeeqp77nOf65YtWzaWTzsUIDj99NMH6W9605vc2WefPdj/0pe+5P72b/924cPJg8SHN+j3/u3f/i1Mnto+HR+3IGDwHLfzzjsGaCyvG/GVWJ1enyalXVzUtPIlPXXRLq//2tc5+NbOYLT9mJSO0si7nXtAT62z2m+f/G9ebS3WZuXbRZtmUWcXtkvHYeHbp8loV320hS/pp6t2Ud19WKx8+8CAjiH3uMFzsfDtk38gHl34YAtfahPGD0ShebHyba65rpyu+hEr367aNQvtwD/MgrrtN632a/t1SE+DQFUBAwoK0LcFRpcPfvCD7lWvetVo0sT2L3/5S3fooYe6u+++eyHvkY985MI2feh4dPn2t7+9EHS45557RpPdV77yFfec5zxnLG1aO3QSNi0UNPAn6bytw87x0Vfd5ErgUWq7Uu3juqcf6g7ebRh8++3rb3W3bntopva2447b3D0nHz84HeiVRI+87L+L0HsqX5T/tc71du9fvsRtv/qKgb3QXWy7HXl057/b5oeO3Xt3d8mTDhi06Rv3/z+35ge3z/S8amtvk52W6udKbVcTR6R37wdC+/7FScdN3Gyw9MCDZ+oXDlmx3F3ztOHrL297cLv7X9+5pTq/QPZcIl9q189XPWHgd2mDXlGH82/65194Ppa2X6L99sk/kL5L7Kcxv5jf6wkp/UCJ/qFv/VuJ/qFUv1VS/zk2wMJO7whUFTBYvXq1u/LKKwdKeNe73uXe/va3D/bbNl72spe5j370o4MiN99888JriwYJD2989atfXXiF0bZt2wZZq1atchRMIKc87aXpN0tyEimdba52o9PudnCHi63d8s11HqCeZj2de9jj3P9+9PDD9f/88/vdq370k5leJHrgzDeOfXuF3p+++yteO9OLlRr/Df/bbHcanjiPp8cTk9FuLxJf+uSD3DF7PWIwVD75hs3u6/f9cqZ+98FNl7v71506aBN9w2CfCy6qzu/CT3TvJ0r0D327mF1q8K7UduG87/68l47b0L91O34gPWB+UY69S88LX24wyMJG7whUFTB41KMe5X7xi18MlLB582a3//77D/bbNs455xx3xhlnDIp88YtfdCeeeOJgf3Tjk5/85MJrjqiT9sstt9wykw8g00nILaNt4/L7npb7seEczq5Pjw3nfo9rDr5dfYyuD+dKDr594DB6DOGHRC0fyc7FN3zUNsfH/kaPeVrb8L/TIp3nd3LZb57WzLaW8Bws4XWGRCS8UGn9SPusKOf2DXQcVvvt09isC71a+XbRplnV2cV5mINvF+2aFePcPjgHX7ySqNkacvBtrr2uHPRv3esrN+Mc9osxRLPec/Btrh05pRCoJmCwZcsWt+eeew64HXjgge72228f7Mc2PvvZz7oXvvCFg2Lnnnuue+UrXznYDzeOP/54R08b+KUtwODLdLGmE5FbEDA4deJ1I8tXreZQidOsTq9PHUp4sXXFSae4PTacI2bJFbTyDYMYdHf2ynXruZ+ayzQr375BCyeAdHyWj+tZ+XLtwUXBodVZ+fbJ/w6p5Nuy8s3XktnWlHsy6o/GwrdPthv20znGDsTYwjdsE8YO3mqHawvfYS31b+W+mO2JWPiGYwfLzQ++PbNcd+GDLXyJRZ98cBe6tfLtok2zqDPsS9C/5dcC/EN+pl3XCP/QNeHZ119NwGDHjh1ut912czt37lygdtBBB7nbbrtNTPALX/iC+73f+71B+Te+8Y2OnjpoWi644AJ32mmnDbL//u//3r361a8e7E9rg05Cbpn3gEHuTjuHswvbVPOkNPcEJQff8A6rHHeGcudWjWk5+NZ43LE2hwNP7eA+B99cbYkd8zTyQ1+n5erbmoNv2Kaa/a/nkmudg2+utsy6nvA8tAQR/bFY+fbpYlV4s0GOi5tWvuFF4Fqf7PL2lntt5Zu7PbOsD/6he/phX209H3PYL55gbtZ7Dr7NtdeVg/6te32F/gHzi+6ZW34B/sFCrx7ZagIGhPQxj3mM+9nPfjage9ddd7nHPe5xg/22jY0bN7rXvva1gyJvfvOb3d/8zd8M9sONb37zm+6YY44ZJL/mNa9xVMe0FzoRuWXeAwbotDmryJuWe+Jk6VS60HdeWrOvzcJ39q3vpgWh3dCvaC8QWviGFwQt7eiGVFqtIVdcFEzjN4vSFvudRXu7+s3ck1HfTgvfsE01B7vCmw2Ij9bnera01vLl2lPrk12jPHJva/nmbses6wvPRevFbH88Fr59u5gdjh+sFwSJsYUvyYd6r9kH0/HkXqx8c7dnVvVx/Qn6t7zaCP0D5hd5+XZRG/xDF1TLqrOqgMGRRx7prrrqqgHB973vfe71r3/9YL9t40UvepH79Kc/PSjy3ve+173hDW8Y7IcbP/zhD92TnvSkQfLzn/98d9lllw32p7VBJyG3zHvAIHenbXV2XHtqn5Tm7LStfMPgBQbz417Byne8tn7thbZDH7zc+/wLkw7SyjdHG5Ia3HFhzt9ZJk1Wvlx7ave/OVVo5ZuzLbOuK2e/5o/Fyrdvd8CH/s56QdDCN3dbvM77tLbw7RMHOpbQP1htl+q08u3bxeywv7ZeELTyJR3hCWaiwC85+PI115mau0+x8M3dlhI0EvoHahPmFyVohm+DxX75GpFaIoGqAgZve9vb3FlnnTXguGzZMvf5z3/e/c7v/M4gjdu4+OKL3dq1a8eyLrroooUPG48ljuxcc8017ogjjhikrFmzxl1yySWD/Wlt0InILfMeMCAmuTtKi9PL3RZO59NO4zpty91WWr7hBI44WAYP0+Y4rd/T8p1W+2b1O9zd/ZqAk5Zv6BuIQx/sNzwu64UVLV/imbstVGffFgvfPrHg+rUc56OWL9ee2oNdXfTZGr6c78+h6z6dD/5YNHy9bJ/W4flovZjt2Vj49vFidthnW89LC9/QX+XSudd9H9YWvn04/tFjCO2F8mZhv33u30L/gPnFqAWWtw3/UJ5OcreoqoDBtdde61atWjX4jgHB2GOPPRa+LXD66ae7xz72sWN87r//fvfBD35w4dVD991331je5s2b3f777z+WNrpDTxNQkMAvL33pS93HP/5xvzu1NZ2E3IKAweSdQMRJ22lbnF2fO+3wzibtQNrCN7z70jpw4M6n2tMsfGs/dkn7QzsmmZSggZYv5xv6Yr85J01avqRHjrG2H6D6+rhY+PaRByaj3Ws1ZKx5ssu3Umu/Odvg29LHtZZvH1nQMYV2Y+1PLHzDflY7Bi9NVzmPy8KX03fK2LA0rl20x8q3izbNus7QR6B/y6uR0D9Q7Vo/bLFfzC/ierXwjdeOEqUQqCpgQNDo2wNnn332BL9HPOIR7qlPfao77LDD3NKlS93tt9/urr/+enfvvfdOlD3hhBPcl7/85Yn00YS//uu/du95z3sGSe94xzvcO9/5zsH+tDboROQWBAwWqaDT5qwjX1p4txXVrB0YaTqVUL/0+/jYMVGYXDR8J2vpZwrZ8X3rTnU777xjcIA08V5x0lq3ct36QVrbRipfbqDZl8m+5xSen1rfQPWl8u2iDb7OPq61fPvIIudk1PPR8OV8hHZS7NtRypo7NsuFuFS+oW8iLn1h24WOU/l20YZS6gz9Q45+W8s3tGPLOVQKX2oHN7fAE8wlaWi8LVr7Ha+lP3vo37rXZej7ML/onrn2F+AftOTqkasuYPDggw+6o446yl133XUqynvuueeC7K//+q+3yq9evdpdeeWVgzL0WqM/+IM/GOxPa4NOQm5BwGCRSq5OW+vswg6NWtW3SWn4wTU6xtRJi4av9a5waue8LBq+88LGHyc3QaU8yR3/qXw5v0C/1TffAP9LWi1/SbXf8o/I3sLwHMVk1M40rCFXH55qv5xfkvj5sP3zsp/Kt+9cuLECLmbn13roH7SBGYv94gnmuF4tfOO111sitF86ktS5Mcmk8p2X/o07zmnwJZ3QEo4RKa1vczg6JuuSar/W34P8bAhUFzAgTN/97ncXvlvw05/+NJnahz/8Ybdu3bpWubvuumvsdUXLly93d999t9tnn31a5brIpBORWxAwGFJBpz1k0cUWTZ62nr/Rbbvs4rHqUzvulE6F06nlgs5Yw3u6k8K3pwiih8UNQEmIJqp7bDjHLV+1urEOCV+qn2x39EkGX2FfB5rcuZrqG4iRhK9nSWtOl7goOEpofDuV77h0//Y4+9HYrSeTynceJqM0drA+2ZXKl9Or9kKk/+15WKfab9+ZhP2a1YY0fPt+MZsLzGjH+Rq+nA/GE8z8ma3hy9fUn1T0b93rMvTD9IuacVqq/XLjCMwvmvWdyre5JuSUSqDKgAHBpG8S0CuDPvCBD7ht27ZF+R5yyCFuw4YN7s///M+jZelbCb/92789KPfKV77SnXvuuYP9aW7QScgtCBgMqeTotFOdHdeZWCcUwyMqb4tjTK2UDu5T+HKD+D6zzaHtFL45fq/mOrhz1x8P2TO9oigMHMT4Up30JM72q6/wVY2t+xosoIPkfAOdr3jd05gJzHQnZr8zbdwMfxyT0e7hk3+45+TjJ34oZfIttV9u7EA/3Gf/OwFWkSDlq6i6WhHObqXj3fCgNXw5W+7jxWw8wRxaS3n7Gvst7yi6aRHnJ+iX0L/l4Y35RR6OXdYC/9Al3XLqrjZg4BHefPPN7rzzznPf+9733A9+8ANH+9u3b1/4GPKhhx7q6O+5z32ue8UrXuF22203LxZd//CHP3T33HOP23fffd0Tn/jEaPmuCtCJyC0IGIxTQac9zqOLvSbGdHFw5Wnr3Yo1a1t/Ntap0Htj6UmGebo7uxVYYmaMb2J1vS7ODUJHD5hsmoIGuz1s00t37S898GBHfpdkd+z6FgKtt+8KFIRP3ozWQxcY9txwtltywEGjyb3bbvINmDSVo2r4h0ldcH4gNdjla5Xy5QKW9Jv7XvpVX1Xv1twx00HSccee7PIw2vhS/RT8wdjB00pft/FNr60fEjkuZnsSKXxzBTL9b5e8Jh+MJ5hL1tBi21Lst/yjydtC9G95eYa1YX4REilvH/6hPJ3kblH1AYMQyEMPPeS2bNmycKE/zKtxn05CbkHAYJKKpdOWODtMSvm7ib0m2ib/bXzbAgVtdfrfxTr9dS5gtmjL3EQ1F5uUi+W5fnOW9cD/zpJ++2+3+d92yf7nYjI6HR03+Qf69aYnu3zLmuyX6pzXJ7s8mxzrJr456q65DlzMno72iHP46jL6ZekTHSn2yz250feArVWLKXytv1WrPPq3bjXXxFdyjUBiv1Q/bjrQ6VDCV1czpEoi0LuAQUlwc7SFTkRuQcCAo8K/19qXxKTUk7CtmyZRvlbqwOnu7GW7/ujOaro7m9ZkyzvuuC3p7uy9z7/QV4t1hAA67Qighmyy5wc2nNH4OqEGscbkeXmqgAPQNKinsvC/HLHppcE/NLNuslvJZNTX2sYXk9FFSk0XBj1DP3YYfbLLP511yIrl7sZvfh1PdnlYmddt9pv5p6qqrslmpRez/cFK+M7zxWzizL26jHwCnmD2VjS7tcR+Z9e6Mn65yVf41qF/8yR066ZxGtWG+YWOaS4p+IdcJMutBwGDcnWz0DI6CbkFAQOOymKaptPG60aaeXI5xHjbpRe7rRds5LLNafN2d7YVGDprK8HFJw4ocEBL07cImn7FTwRoYusvcDWV7Xs6/G95GoZ/iOsEk9E4oxwlyD/gya4cJPPVAf/QzpJsFhez2xnlyG0bO9AYq+n1ZW32iyeY7Zpp42uvvV81oH/rVp9tPoJ+2c/FRm86wPWdbnUC/9At31JqR8CgFE00tINORG5BwICjMkxDpz1k0eVWbs4UKMBFV53G0GnruHFSZNd0AZG+UbBj867vFdx5++D92DQgXbL/ridnDlhcLzty9cRHkrk65yktt18I2SGgGBKJ78M/xBmR3XKvxvCS3GTUBwhxB7ynJFsTazzZJWM1jVLwD+2U23xD28VsXyvHFxezPZ3hOjZ28D4YTzAPmU1ji7Pfafxurb+B/q07zcV8hPWXMb9IJwj/kM6sNgkEDArXGJ2E3IKAAUdlMg2d9iSTLlKIM11gpacOcHd2F4Tb60Rn3c7Hmgu+OoLwvzpuuaVgv3KimIzKWeUo6X0E1YWxQw6i6XXAP8iYxXwDLmbLOMZKEWc8wRyjNL18+Ac9a/RvenYxSc82ddzQVO88v062iYkkHf5BQqn+MggYFK5DOhG5BQEDjkpzmu9YqERq5+InAbjzvZnvaA6xlt6dvWLNKXP/CpdRdpZtdNoWenFZ8I0zaioB/9tEZnrpsN801t5mU8cLTb+CyWgTmWF629jhtge3u8OOPgZPdg1xZd2Cf5DhJBvFxWwZK2spYp3z9WV4glmvEfgHPTsvif7Nk8i7Jq54nWxepqm1wT+kEquvPAIGheuMTkJuQcCAoyJLa+u0KTiA143IOKaUQmeSQiu9LPimM0uRAN8UWu1l4X/b+XSRC/vVU8VkVM8ulyTsNxdJvh7w5bm0pZJfwMXsNkL58vyYAU8w52OaUhP8Qwqt9LLgm86sScL7CrxOtolQ/nTYb36mJdaIgEGJWhlpE52I3IKAAUfFlganZ+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGK57dNRnEHfJyfpQTs10IvLgu+cUZcCe8TcDGbo5M/zfOWXBDEE8z5+MM/5GPJ1QS+HJV8aeCbjyVXE/hyVPqVhoBB4fqkk5BbEDDgqOjT4Oz07CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89uVBIXs0dpTG8b9tsta/AF324JdFs77Bd8uyUwH7UjYFC4nsnRcQsCBhwVWxo6FRu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38apBGwKBwLdFJyC0IGHBU9Glwdnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17GqSRMCgcG3RicgtCBhwVGxpcHo2fjFp8I0RsuWDr41fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+NUgjYBB4Vqik5BbEDDgqOjT4Oz07CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tnVJImAQeHaohORWxAw4KjY0uD0bPxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGrQRoBg8K1RCchtyBgwFHRp8HZ6dlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzq0kSAYPCtUUnIrcgYMBRsaXB6dn4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjV4M0AgaFa4lOQm5BwICjok+Ds9Ozk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZ1eTJAIGhWuLTkRuQcCAo2JLg9Oz8YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxq8GaQQMCtcSnYTcgoABR0WfBmenZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV8+uJkkEDArXFp2I3IKAAUfFlganZ+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjF5MG3xghWz742vjFpME3RsiWD742fjFp8I0RsuWDr41fDdIIGBSuJToJuQUBA46KPg3OTs9OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+eXU2SCBgUri06EbkFAQOOii0NTs/GLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bvxqkETAoXEt0EnILAgYcFX0anJ2enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPbuaJBEwKFxbdCJyCwIGHBVbGpyejV9MGnxjhGz54GvjF5MG3xghWz742vjFpME3RsiWD742fjFp8I0RsuWDr41fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn41SCNgULiW6CTkFgQMOCr6NDg7PTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2NUkiYFC4tuhE5BYEDDgqtjQ4PRu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38apBGwKBwLdFJyC0IGHBU9Glwdnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17GqSRMCgcG3RicgtCBhwVGxpcHo2fjFp8I0RsuWDr41fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+NUgjYBB4Vqik5BbEDDgqOjT4Oz07CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tnVJImAQeHaohORWxAw4KjY0uD0bPxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGrQRoBg8K1RCchtyBgwFHRp8HZ6dlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzq0kSAYPCtUUnIrcgYMBRsaXB6dn4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjV4M0AgaFa4lOQm5BwICjok+Ds9Ozk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZ1eTJAIGhWuLTkRuQcCAo2JLg9Oz8YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxq8GaQQMCtcSnYTcgoABR0WfBmenZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV8+uJkkEDArXFp2I3IKAAUfFlganZ+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjF5MG3xghef7Ozbe7bZde7HbeebvbsfmOhfXOO+9wS/Y/cKGSJfsf5JYesLi925q1bvmq1fLKUZIlAPtlsWRLBN9sKNmKwJfFki0RfLOhLLYiBAyKVc1iw+gk5BYEDDgq+jQ4Oz07iST4SijJymCyJOOUsxTsNyfNybrAd5JJzhTwzUcT/jcfS2lNsF8pKV058NVxk0qBr5RUc7mHrrrCbd90hdt6wcbmQg05FEigoAGCBw2AIsmw3wggRfboOOLL/+ci9+wnPWFX4AtBLwXKqAjsN4pIXGDUbhGsFWPrRUEEDApXIzk6bkHAgKMiT4PTk7PKVRKdtp6knyxtu+wzC4PKlJowWUqh1VwW9tvMJjUH/jeVmL087FfPEP5Xzy6XJOw3F0nn4H/zsZTWBPuVkhovR773wUs/47ZddvF4hnJvxUmnIHCgYAf7VUALRPw4AkGvAMwUdmG/esjebnH9Qc+wD5IIGBSuRXJy3IKAAUelPc07PXTW7Zy6yEVnraNKE/ut52/MMlnygYOVp613Sw44SNegOZWC/doVD/9rZ6itAfarIwf/q+OWWwr2ayfq/S8m/XaWqTXAflOJLZbfsuFNWca+4a/7sfAeG84Js7DPEID9MlASksj3IuiVACxzUdivDijGvzpufZVCwKBwzZKj4xYEDDgqfBo6a57LtFPRaacR33reRtXj17FfwWQpRojPh/3yXGKp8L8xQtPJh/2mcYb/TePVdWnYr44wJv06brmlYL9yojRmIP+7/eorGoXoSQH6VsGyI1e7pbteObT0wIPdjjtuWyi/Y9erXcju6TsHbXXQWHjv8y7EDTSNlIcZsN8hi5QtBL1SaHVXFvabxhbj3zRe81AaAYPCtUxOjlsQMOCoTKahs55kMosUdNZp1O877dTWiU6OydKyI1a7PTecjcmSQDWwXwEkpgj8LwNlBkmw3zTo8L9pvLouDfvVEcakX8cttxTsV06UggX3rzuVFaAx64o1p+z6WzuW38aXAgdUZ1PwgIIG9NRtWOfYD8z5ThvfOUfTePgpQa8T3/hm99/fv2FhLkb2SguCXo1okzNgv2nIMP5N4zUvpREwKFzT5Oi4BQEDjsowLaWzxh0qQ25dbqHTjtMlu6WLrPTxq3Bpmiz5chxfyWSJHsumD8JhaSfA8W2XmN9c+N/ydA/7jesE/jfOaFYlYL9p5DHpT+PVdWnYb5ww+V8uWEBj35Xr1reOUyV8t9G3EJinDhA0iOtGwjdey3yUaLJjOvqmeVwbX8k8DkGvdttq49suOT+5GP/Oj641R4qAgYbaFGXIyXELAgYclcU0dNbNbGaVg846Tr7JbiWTGQlfmizR9xDCYATVj6BBu34kfNtrmJ/cJjsmApgszcYOYL9x7k12C/8bZ9d1CdivnDDZcepNB218JRerMH5o108b33bJ+clt8r80Ztj7/AtbQaTwJXvmvgtGfh6vJ+Ixp/Dla5if1DY7bgp6pfBF0CvdllL4ptfeD4kmu8X4tx/6zXEUCBjkoNhhHeTouAUBA46KW3j0FHeo8GxmnYpOu10D96x5zsTFfMlkydcq4YvJkqeVvpbwTa+1XxJNg06y46bJkicg4YvJkqeVvpbwTa+1PxLwv2XrEvYb10+T/8WkP86u6xKw33bCnP/d48yzxa8KSuVLY4kt7zxjrFEIGozhGNtJ5TsmPCc7Tf5XMo9L4Yt5XLpBpfBNr71+Cc7/SuzWH7mEL+zW06pzjYBB4Xqjk5BbEDCYpILOepJJKSmSzqSUts6iHdzrA+g7BXTnnmRJ4UudNj2WvfWCjWNVpwwOxgTnYCeF7xzgYA8R/pfFUkQi7LddDfC/7XxmnQv7lWlAO+lP4YtJv0wXo6VS+I7Kzcs253/32vUxYumrMrV8uaBByrh7XvSj5TsvfPxxcv5XEvTS8uXsF0Evr43hWst3WEO/tzj/m+IHU/ji+kO9toSAQeG6oxORWxAwmKSi7ax9TSlOj2TQWXtysnUqX1mt9ZfiPgyb0ll7Aql8uQ8ian7X/37f16l8+84jPD7435BIWfuwX14f8L88l9JSYb/tGsGkv53PrHNhv7wGuBsNNONQLV9uHJwSrOCPqn+pWr79I8EfEed/U+xIy5e7DqE5f/ij6k+qlm9/CPBHgvEvzwWpkwQQMJhkUlQKOTluQcBgnAo663Eepe2hs+Y1QtH2e04+fixTc6e/hi93pyDuThlTxWBHw3cgPAcb8L9lKxn2y+sH/pfnUloq7LddI9ZJv5Yvd7EVF6smdaXlO1lT/1LCscO0xr+eJPUBD2w4w22/+gqftPCtpdh3EwaF52AD9tuuZGvQy8qX88MpwYr2o6s/18q3fgL8EWD8y3NBKk9gbgMG27dvd//wD//gvva1r7nrrrvOLVu2zO2///7uyCOPdKtWrXK///u/71asWMFTm2IqOTpuQcBgSMXaWfuatJ0KOmtPsH2t5dtea9254USfLtjve+lXVQel4UsDhvvWnTr27QRM+Hn8Gr58Tf1Khf+tQ5+w30k9wf9OMik1BfbLawaTfp5Laamw30mNcHdHay90WvhyYxhtOyaPsh8pFr79INB8FAh6NbMpJQf2O6kJjH8nmSClmUC1AQO64P/JT37SXXXVVe7aa691P/vZz9zhhx/unvrUp7qXvexl7tBDD2086k2bNrmXv/zlC4GCpkIUOPjMZz7jHv/4xzcVmUo64aJS8gAAGRhJREFUOTluQcBgSAWd9ZBFqVvorCc1w030Je+7nKzJOQvfcNJGQQv6doL0/bFce/qWZuHbNxbh8cD/hkTK24f9TuoE/neSSakpsN9mzeSY9Fv44qaDZt34HAtfX0cf16Htam9WycE3V1v6qKccfPvIhY4pnD9RWmqwKQdfBL2IPL/k4MvXXG8qxr/16m5WLa8yYPCjH/3IveQlL3GXX345y2233XZzr371q91ZZ53lHvGIR4yVufrqq91xxx3ntmzZMpbO7ey3337uU5/6lDvhhBO47KmkkaPjFgQMFqnk6Kw9X0ungs7aU2xeW/g211pvTjhBsTxdQBQsfMOLvtqJW73aiLfcwjdee50l4H/r0Rvsd1xX8L/jPErfg/1OagiT/kkmpabAfic183+PPHwscd9LvuKWHHDQWJp0x8o3PJes43Fpu2spZ+Vby3GmtjMcR2jnTjn45mpLKoMayufgW8NxStsY2orV31n44vqDVGuzLVddwOCmm25yRxxxhLvvvvui5J773Oe6z372s4Ogwe233+5Wr17tNm/eHJX1BQ444AB38803z+z1RHQScgsCBotUQqeHzpqzltmnWTqT2be+mxaEH4nVPl1ArbPyDS/8WgcP3RCbXa1WvrNrebe/DP/bLd9ctcN+J0nC/04yKTUF9strJvS/2n47B19M+nkdUWoOvs2115nD3WT1qE03qg4mF9/QhlPvFFc1vgKhXHwrONTkJuYIeuXii6AXr75cfPna60zF+LdOvc2y1dUFDP74j/944a5/KTT6FsHnPve5hQHbiSee6L70pS9NiC5fvtztvffejl5zdO+9907kn3vuue6Vr3zlRPo0EsjRcQsCBotUcnTWnq+1U0Fn7UnyaytfvtY6U0NboaPQTpY8AQtfrj2YLHmyi2sL3/Ga+rMH/1uPLmG/Q11x/g7+d8inxC3Y76RWMOmfZFJqCux3XDNhsGvlX653K9etHy+UsJeDb3jjjPYGtIRmV1M0B99qDlbYUAS9hKAKKAb7HSoB498hC2zJCVQVMPj2t7+98IRAeLF85cqVbt9993U7duxwP/3pTyeO/kMf+pA78MAD3cknnzyWR4GC97znPW79+vULTxBQvZ///Ofdn/7pn7qf//zng7KHHHKI++EPf+io/LQXcnLcEjLgyvQ9DZ11PRpGZz2uq/BD2daJSQ6+4d1V1jaNH3Hdezn41k1gsvXwv5NMSk2B/Y5rBv53nEfpe7DfSQ3lnPTn4Mu1BzcdLOotB99JC6g7JQwYzPIJW08SAQNPYnwN+x3n4fdCG9YGvXLyhQ177QzXOfkOa613C+PfenU3y5ZXFTB43ete5z7wgQ8MeC1ZssS9+c1vdhs2bBhczP/iF7+48P2CG28cPtpI3zGgsr/85S8HsnTx/z/+4z/cc57znEGa37jhhhsWPp780EMP+ST3ta99zR177LGD/WltkKPjFgQMnMvVWXu+OToVdNae5uQ6B9/JWutMCW3XMlnyBKx8YbueJL+28uVrrTc1tGHtZMkTyMEXNuxpTq5z8J2stc6U0Hbhf8vXI+x3XEeY9I/zKH0P9juuofDpGMv3C6jmHHzDmyCWHbHa7X3+heMNn9O9HHz7hi7nOCIXX4yBeSvLxZevva7UnHbrj9zKF3brSZa7ripgsGbNGnfZZZcNaL7+9a9373vf+wb7foNeK0SBgOuuu84nTazPOecc98Y3vnEi3Se8/OUvdx/5yEf8rvvEJz7hTj311MH+tDboJOQWBAwmAwaWSb/V2Xkdwel5EuPrXHzHa613L7yb33onXg6+mCw121MOvs2115mTc9CZiy/8L29LufjytdeXCv9bl85gv5P6gv+dZFJqCux3UjM5Awa5+IZPyWi/CTJ5tHWn5OJbN4XJ1uey4Zx8MY+b1FNOvpO115eC8W99OiuhxVUFDJ7ylKe473//+wvcVqxY4egjxvvttx/L8a677lr4OPKdd945kX/MMccsPDFATqRp+cpXvuJOOOGEQTa9uuitb33rYH9aG01tRMDAuVydtddljk4FnbWnObnOwXey1jpTctsuUbDyxWSp3ZasfNtrry83tw3n4Av/22xHOfg2115XTm7bpaO38oX/bbchK9/22uvLxaS/Lp3Bfsf1FX7/aJbfkBltWe52jdZd8zbsd1J7OccRufhiHDGpJ0rJxZevva7UnHbrj9zKF3brSZa7riZgsHPnTrf77ru7bdu2LdD8rd/6Lffd7363lew///M/uxe/+MUTZb7xjW+4Zz3rWRPpowm33HKLO+ywwwZJp512mjvvvPMG+9PaoJOwaaGggT9J53H9i5OOczvvvGOAhx5pXXrgwW6WXA5Zsdxd87RDBm267cHt7n9955a51tMs9VHqeRFOSh591U0ztVvitOOO29w9Jx8/sF26u+qRl/33zNsF+ynTz8P/lqkXnC9xvcD//hr8euXjZ/jf+Hle6vgP7fo1V6L9kl5+vuoJgzEwbVAgA/pCf8GNq0ocR1A7S20XzqMyzqOu7GPMcSbuIGCQCGwGxasJGND3B/bYY48BohNPPNHR9wrallCGyh5//PHuv/7rv9rEFvK2bt26EKDwBZ///OePvQ7Jp3e9JgfLLVznNW/OuCunZ+VYarusxwX5fJ19qZOSUtsFf1fexZFS/Vyp7YL/zOc/rf6gVD9XarusvCGf33+X6Odw00F+Pfe137j0yQe5Y/Z6xGB6e/INm93X7/vlTC/OP7jpcnf/uuGrh+kbBvtccBGCq5UHV7vqfxD0gr+r0T93Oc4cOHTFRjimsT51pmgCRFoIVBMwoGN4zGMe4372s58tHM6qVavcpk2bWg7NuTPPPNO9613vGitz+OGHu//5n/8ZfCR5LHNk58c//rE75JDhneJr1651n/70p0dKTGeTnBG3UAc470vOx6q808/BFE5vkmJOvpO115eS03bp6HPwRYS/2Y5y8G2uvc6cnDacky/876Q95eQ7WXt9KTltl44+B1/432Y7ysG3ufY6c3L6uZx8c7arTs1Mtjon38na60zJ+UqtXHzxSkPelnLx5WuvNzWXDefkCxuetKecfCdrry8F49/6dFZCi6sKGNBrhL71rW8tcNtnn33cT37yE0ffMuCWG264wT3jGc9w9KRAuHzgAx9w69evD5PH9um1Rccee+wg7XWve537u7/7u8H+tDbI0XELAgbO5eqsPd8cnQo6a09zcp2D72Stdabktl2iYOUL2223JSvf9trry81twzn4woab7SgH3+ba68rJbbt09Fa+sN12G7Lyba+9vlxM+uvSGex3XF/hR7tXnHSK22PDOeOFEvZy8A3btPIv17uV69qvFSQ0seqiOfhWDYBpfM5xRC6+GEcwitqVlIsvX3tdqTnt1h+5lS/s1pMsd11VwOClL32p+6d/+qcBzfe///3ur/7qrwb7fuO+++5zq1evHnwg2af79b777uuuvPJK98QnPtEnTaxPP/10R/X7pem3fH5XazoJuQUBg7wBA6uz8zqC0/Mkxte5+I7XWu9eODHZ48yz3Yo1a9UHlIPv1vM2uq0XbBy0wTqBG1TUg40cfHuAYewQcg46c/GF/x1T0WAnF99BhZVvwP/WpUDY76S+4H8nmZSaAvud1My2Sz/jtrzzjEEGfTNr30u/OthP2cjFNwzCWcflKcdQctlcfEs+Rk3bwnGEds6Uk2/YJgS9ECwIbTu0Eaufy2G/uP4Qaqm8/aoCBmeddZZ729veNqC41157uY985CPuRS960SCNXjf0Z3/2Z9HXFf3Gb/yGu+KKK9zee+89kPUbd99998IHj7ds2eKTFl5HRK8lmvZCJyK3IGDgXOj0tJ2155vD6YVtQmft6aLTHpJwLpwsWW2X6rbaL2x3VEOT21a+kzXWnRLai9WGc/AN2wT/O7SxHHyHtdW9Bf9bn/5gv+M6C30dJv3jfErbg/2OayR8BRvl7nXehW75qtXjBYV7Vr5ce/AO7SF8K99hTf3ZCscRCHqVq1vY71A3od1a525Us5VvOJ7B3G2or1K2qgoY3HXXXQtPBTzwwANj/OjVQ09+8pMd5dMrix588MGx/Ec/+tHu8ssvd0cffbT7+c9/PsijoMFHP/rRhXSf+L3vfc+dcsopY08nLFmyxN14440LQQRfblprOgm5BQGDyYuu6Kw5SykjzdqZlHEU+VoRTk4stkutysE3fPfwvpd8xS054KB8B11xTTn4Vnz4bNPDQafFhnPxxR2CrKqy+Ae+5jpT4X/r0lsu/1DXUbe3NvS/lkl/Lr6Y9PM6y8WXr73e1PApGa0N5+Cbqy31aqO55Tn4Ntdeb044jqAj0QS9cvHl2oOgV575cb1WOtny0E4sczeqPYf94vrDpJ5KS6kqYEDw6CPG9DHjlIVeY/Qnf/In7kMf+pB71ateNSZKwYCnP/3p7glPeIK79dZb3Xe+852JgMMf/uEfun/5l38Zk5vWDp2I3IKAgXOh0yNOms7a87U6Pa496Kw93TydyrC2+rfCCYrFdomGxX7Diw/WAUT92pk8AgvfydrqT+H8ncWGrXy59sD/Du3MyndYUz+24H/r0iPsd1xfob+z9tk5+GLSP66j0b0cfEfr68N2OO6kY9KOISx8w1cZWtrRB71wx2Dhy9XXl7RwHIGgV5mahf2O6yW0W63f9bVa+Ib9gHUs49uEdV4C1QUM6DVBdIH/5ptvFpF4z3ve49761rculN2xY4d7wQte4D73uc+JZH0h+t7BM5/5TL871TWdhNyCgMEildDpobPmrGX2aZbOZPat76YFOTtJK9/wPMLjgOM6t/Idr60/e6HdwP+WqVvY76Re4H8nmZSaAvvlNRP6X+2kPwffnOcTf7T1pubgW+/Rt7c8tOFlR6x2e59/YbtQkGvlm6MNQZN6tWvl2ysYwcGEfo+yU/1wDr4IegWKGdnNwXekul5shnZruUhv5Rv6X1x/KNPEqgsYEMZ77rnHrVu3zn3qU59qpLr77ru7d77zne4Nb3jDWBkKOBx33HHu6quvHktv2qHvIXzsYx9ryu48nU5EbkHAYJFK6PQoNbWz9nwtTg+dtafYvLbwba613pzwDkE6Est7iLV8c55D9Woj3nIt33jN9ZbIaTsWvvC/cRuy8I3XXl8J+N+6dAb7ndRX6H8x6Z9kVEoK7JfXBNd3ay4YafmGF6uoldo5JH+E/UjV8u3H0bcfRWhDCHq185pFLux3nDrGv+M8sBcnUGXAwB8WvSbo3//9390111zj6GPHy5cvd095ylPc6tWr3Vve8hZ30EH8+7d/+tOfule84hXuX//1X31VE2tyLhs2bHDveMc7JvKmmUDt4BYEDIZU0FkPWZS6hc6a10z4zl/thN/CN3zvu/Yucf4I+5Fq4dsPAs1HAf/bzKaUHNgvrwn4X55LaamwX14juSb9Vr5h4IJai4uuQ51Z+Q5r6udW6IfpKFOCBlq+XLAC499JG9PynaypnymcHU3Dfj3NcAxO6fC/no7tdb3DWvq3FfpdXH/on45zHlHVAYNREDt37lx4hzd1bNKFgg0f/vCH3fXXX+9uueUWt2zZsoXXHR111FHuhS98oXve854nraqzck3Hg4DBELm1s/Y1aQdF6Kw9wfa1lm97rXXnchN+zd0pREHDl7NdfOyYtykNX76mfqXC/9ahT9jvpJ7gfyeZlJoC++U1g0k/z6W0VNhvs0bID9+37lS38847BoXo4tWKk9a6levWD9LaNlL5cuMW7QWztnb1JS+Vb1+OW3ocoR8muWkEDTg7RtBrUmuw30kmGP9OMkFKM4HeBAyaD1GWQ68qooDBihUrZAJTKkVOjlsQMBings56nEdpe+ismzWy9byNbusFG8cKpAw0SVDD13rOjDW45zsavj1HMnZ4VlvS8sVkaUwNjTtavo0V9igD/rd8ZcJ+m3WUY9Jv4YubDpp143MsfH0dfV9zdkzHLLn4mcqXs1n6LdyVTRQml1S+kzX0P8US9NLy5ca/CHpN2pqW72RN/UvB+Ld/Ou3qiBAw6IpspnrJ0XELAgbjVCydta8ptVNBZ+3JydapfGW11l+KbHfr+RvdtssuHjuYLoMG3AVe7ZMNY43u8Q7st1m58L/NbErJgf3ymoD/5bmUlgr7bdYIJv3NbErJgf3GNcHNqUiKLoLuseEct3zV6sZKJHypfhr7jj7J4CtEsMCT4NcSvrzk/KTSWOKek4+fOGAEvSaQTD0B9ssjx/iX54LUSQIIGEwyKSqFnBy3IGAwSQWd9SSTUlLQWbdrgmw3fCSbJKQX8VP4cndX4a6Udv2k8G2vqb+58L/l6hb2264b+N92PrPOhf22a4Ds13LTgYYvbjpo18lorobvqPw8bTcFDYgBjYfpFUVh4CDGl+qkoNr2q69gUSJYwGIZJMb4DgpiwzXZb1vQK4Uvgl7pRpbCN732+iUw/q1fh9M4AgQMpkHZ8Bvk6LgFAQOOilN11r4mSaeCztrTSl9L+KbX2h+JpguuNNBcedp6t2LN2taDjfGlDxPSRQXcXdWKsTEzxrdRcI4yNJMlj0fCF/7X00pfS/im19ofCfjfsnUJ+23XDyb97XxmnQv7lWugyZZ9DTQmpqDBbg+PiZfu2l964MGO5sUku2PXtxBovX1XoCB8ctfXQWsKQOy54Wy35ICDRpOxzRCA/TJQGpKaxsFUHEGvBmgdJ8N+2wGTv+SejsH1h3Zu85SLgEHh2iYnxy0IGHBUFtPQWTezmVUOOmsZ+baJkvYOlbZAQVudshbPRynYr1zP8L9yVtMqCfuVkYb/lXGadinYr4y4dtIv5ds2lsBd2s06kvJtrmH+csiWuadmcpGQvCYm12/VXg/sN12DbWMJqm006HXCCSe4//7+DYPAFcki6JXOvEkC9ttEZjy9zWbbrhW08W0bM7TVOd4y7JVAAAGDErTQ0gY6EbkFAQOOyjCtzfFRqdHOmvZxhwpR6HZp61S6/eW6aifbbZsoedtdtusOK7ozimyX1sR3xx23JQ009z7/wrrgzLC1sF85fPhfOatplYT9ykjD/8o4TbsU7FdGvM33tk3Q2/hi0i9j31aqjW+b3LznkT0/sOGMxtcJpfLBUwWpxBbLw37TucXGEuk1jksg6DXOo20P9ttGZ5gXs1lcfxiymrctBAwK1zg5OW5BwICjMp4Wc3zjpdP30FnLmaGzlrOikmS72y692G29YGOaoLA0bFcI6uFisN80XlQa/jedWVcSsN80svC/aby6Lg37TSMc873hpP/wZx3rbt320MKPkGzK3a246SCuG9hvnFGsBNklBQ5oafoWQVMd3t7p1Z54/VATpeZ02G8zG0mOt91Uu22qG0GvJjJ8OuyX59KUSvaK6w9NdOY3HQGDwnVPjo5bEDDgqPBp6Kx5LtNORaedTpxst+1pg9QaKVCASVMqtcXysF8dN/hfHbfcUrDfdKLwv+nMupKA/aaRJdvFpD+NWZelYb/56JJt06sP6RsFOzbv+l7BnbcPvs1FwYEl++968vaAxfWyI1dPfCQ5X0vmpybYr13XfixMNaUGDxD0svGH/abzw/g3nVmfJRAwKFy75OS4BQEDjkp7Gjrrdj5d5qKzttH1EyS6AICBpo2lRhr2q6E2LgP/O85jmnuwXxtt+F8bP6s07FdPkGwXNx3o+eWQhP3moNhcB/g2s8mRA745KI7X4ccUFPT68v+5yD37SU9A0GscUbY92K8NpbdVXH+wcaxdGgGDwjVIjo5bEDDgqMjTvAPEHSpyZtaS6LStBBflU2x3xZpT8Ah2HuwL34iA380DM8WGcYdgHubwv3k4ptgu/G8e5lQL7NfG0tstJv02jlpp2K+WnEwOfGWctKXAV0tOJge+Mk7aUuCrJTcu58cRkmtnGP+Os6t9DwGDwjVITo5bcOGKo6JPQ2eiZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhJC8TTvp/dPk33MG7LVuoIHylCyb9cq5NJWG/TWTypINvHo5NtYBvE5k86eCbh2NTLeDbRCZPOvjm4Vh6LQgYFK4hOhG5BQEDjootDU7Pxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG78apBEwKFxLdBJyCwIGHBV9Gpydnp1EEnwllPRlwFfPTiIJvhJK+jLgq2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ewkkuAroaQvA756dhJJ8JVQ0pcBXz27miQRMChcW3QicgsCBhwVWxqcno1fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+NUgjYFC4lugk5BYEDDgq+jQ4Oz07iST4Sijpy4Cvnp1EEnwllPRlwFfPTiIJvhJK+jLgq2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ewkkuAroaQvA756djVJ/n8AAAD//8mCYakAAEAASURBVOy9C9AmRXX/3+4uuy4gIGKIy3JZTfhhFI1AahXRQCxTpmRJBO8YjbFwFc2aqtRPUjHKekuElImuMcilrKCCSSxI6W5CGUtKDBBIIYqI9wtkWUDzV3ER1oXd/f3f8772c+nnzPTpc3qep6ef71S978x09+np+fSZM6f7zMzzqP+3sDgsxRJ41KMexbYN3cZiMSUSa3A1IWwVBt9WPOZM8DUjbK0AfFvxmDPB14ywtQLwbcVjzgRfM8LWCsC3FY85E3zNCFsrAN9WPOZM8DUjbK0AfFvxmDPB14ywtQLwbcVjzgRfM8LiK3gUAgZl9xFdhNyCiW2Oij4Nxk7PTiIJvhJK+jLgq2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ewkkuAroaQvA756dhJJ8JVQ0pcBXz07iST4Sijpy4Cvnl2fJBEwKLy36ELkFgQMOCq2NBg9G7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfz6II2AQeG9RBchtyBgwFHRp8HY6dlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWz65MkAgaF9xZdiNyCgAFHxZYGo2fjF5MG3xghWz742vjFpME3RsiWD742fjFp8I0RsuWDr41fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NXx+kETAovJfoIuQWBAw4Kvo0GDs9O4kk+Eoo6cuAr56dRBJ8JZT0ZcBXz04iCb4SSvoy4KtnJ5EEXwklfRnw1bOTSIKvhJK+DPjq2UkkwVdCSV8GfPXsJJLgK6GkLwO+enZ9kkTAoPDeoguRWxAw4KjY0mD0bPxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfHrgzQCBoX3El2E3IKAAUdFnwZjp2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ewkkuAroaQvA756dhJJ8JVQ0pcBXz07iST4Sijpy4Cvnp1EEnwllPRlwFfPrk+SCBgU3lt0IXILAgYcFVsajJ6NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjF5MG3xghWz742vjFpME3RsiWD742fn2QRsCg8F6ii5BbEDDgqOjTYOz07CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tn1SRIBg8J7iy5EbkHAgKNiS4PRs/GLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bv5g0+MYI2fLB18avD9IIGBTeS3QRcgsCBhwVfRqMnZ6dRBJ8JZT0ZcBXz04iCb4SSvoy4KtnJ5EEXwklfRnw1bOTSIKvhJK+DPjq2UkkwVdCSV8GfPXsJJLgK6GkLwO+enYSSfCVUNKXAV89uz5JImBQeG/RhcgtCBhwVGxpMHo2fjFp8I0RsuWDr41fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+PVBGgGDwnuJLkJuQcCAo6JPg7HTs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ewkkuAroaQvA756dhJJ8JVQ0pcBXz07iST4Sijpy4Cvnp1EEnwllPRlwFfPTiIJvhJK+jLgq2fXJ0kEDArvLboQuQUBA46KLQ1Gz8YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/PkgjYFB4L9FFyC0IGHBU9Gkwdnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17PokiYBB4b1FFyK3IGDAUbGlwejZ+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjF5MG3xghWz742vjFpME3RsiWD742fjFp8I0RsuWDr41fTBp8Y4Rs+eBr49cHaQQMCu8lugi5BQEDjoo+DcZOz04iCb4SSvoy4KtnJ5EEXwklfRnw1bOTSIKvhJK+DPjq2UkkwVdCSV8GfPXsJJLgK6GkLwO+enYSSfCVUNKXAV89O4kk+Eoo6cuAr55dnyQRMCi8t+hC5BYEDDgqtjQYPRu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38+iCNgEHhvUQXIbcgYMBR0afB2OnZSSTBV0JJXwZ89ewkkuAroaQvA756dhJJ8JVQ0pcBXz07iST4Sijpy4Cvnp1EEnwllPRlwFfPTiIJvhJK+jLgq2cnkQRfCSV9GfDVs+uTJAIGhfcWXYjcgoABR8WWBqNn4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV8fpBEwKLyX6CLkFgQMOCr6NBg7PTuJJPhKKOnLgK+enUQSfCWUZGX23XO32731arfv3rvd3nt2LK733bvDLXvCEYsVLHvCWrd8zdL2yg1nuf1OXC+rGKUWCYDv9BUB9qFb5uALvt0S6LZ26C/4dkug29qhv+DbLYFua4f+gm+3BOajdgQMCu9nMnTcgoABR8WWhpuKjV9MGnxjhGz54GvjNyqNSddRGvbtR750s9tzy81u97arFgIEO5IqpEACBQ0QPGjGBr7NbKaVA/vbLWnwBd9uCXRbO/TXzrfNL7vrrrvcumc+Gw8b2DGzNUB/WSzZEsE3G0q2IvBlsSQlwv4m4aquMAIGhXcpGTluQcCAoyJLazN6VAOecJVxbCoFvk1k8qaPcr72k1e65xz7pMXJWDyprePsJ113XboluQJMavPISEd3XbJlIVBwNV8gIdUzXv36TW7ZmrUJkvUWBd8y+haD0W77AXzBt1sC+Wof9cvwBp2dK/wyO0NNDaN6jPGFhiAvM8oV9oFnlDsV/oOeqLe/eNhLz7AWSQQMCu9JBAzydBCMXh6OTbWAbxOZvOmeMya183Elpg9vvSrLpDa1atXpZ+Jp+AUOuy7e4jR6GutZHzg4YPOFsaJV54NvWd2LQWm3/QG+dr5tk1V4QlvP1/tlmFTRMwwl4ZeFRLrf93qs8du8X4Y3QSf7yXOFfZhkM60U+A9ppMlXwMNeacxqL42AQeE9jICBrYNg9Gz8YtLgGyOUJx+Dpzwcw1oe3PzWbIGC0br94GleJ7V3vv5st+fWm0eRjG1TUIXe5Fpx0nq3fOGTQ8uPONLt3bF9sczehU8W+YmttjpWnLDeHbj5grl82wB8x9Rp5jsYjObrAn/t4zdO8jDFZFUejlwt8H85KvY0+GV2hik1YHyRQkteFvZBzqrLkvDP0ujiYaQ0XvNSGgGDwnsaAQN9B8Ho6dlJJMFXQsleBoMnO8OwBhogkf62TUjnmNSmwMFBF18xN5PaxJX0lfudAprgX7XhzIW/s8LuWNznnHoacFGd9CPJXF8RXwrKzMsPI4MvqzpFJHL6W0TDetAI0mv8xknejsJkVV6eYW3wf0Mi9n2yA6l+GX2ekHR93bp17rs3Xi962GDe/LK2nsH4oo2OPg/2Qc+uC0n4ZzKqqQ8jaezvPD/sJeuFMkshYFBmvwxahYDBAEXSRqrRwxOuSXgd+Kbx0pROGTw9///+ufviN7+9ODFNgydapE9qz9vgibg+sPFstkuaJrXbnE3JpDZ9d79popxtSA8Tm7iSfsXOv42vR7F74bNR9IpsGIyYl6AB+HpNKG8t0d/yWj37FmFSu5s+wGRVN1x9rfB/PYl866b7Gx2hyS/zR+fsL/wyT4dfE29pcAbjC55hUyrsQxOZ2aRz9mE2LSn3qGQP8LBXuf1TQssQMCihF1raQIaOW/CjxxwVt/g0KowezyZHKm4qOSjG69AMntqcIgyelpg3caUB6eqNm1qfVG/j63uUJrW5p+Elk+a+jr6u79/w2xOT+cT1oEuuEJ2ShG/TBOM8BL3AV6RGMysk0d+ZNa7AA2NSu5tOSZ2swhOC8n6A/ytnlVLS4pf547TZ33n2yzyf0XUTbyrTFJxp44vxxRJd2IdRLStru01/y2rp9FvTZA9Sxq1tfOf9Ya/p92g3R0TAoBuu2Wqli5BbEDCYpGIxem3Gzh9p3o0e+HpN6HbdxLltUluiv77V8zp4auMam9RO4TuPk9rcJBV90kn6Gw6pfCkoE/4wX0pwwl8LfVmDb9k9laK/ZZ/JdFrH6fPokXN8Do7swTz9xgnd3/CwzKgW5d1u8h8kkyoS+zCv44smrin3cwnfefTLuCugjXfTQzMSvv5YGF94Ektr2IdxHrPYS9HfWbRv1sfEw0iz7oF+HB8Bg8L7iQwdtyBgMEkFRm+SSc4U8M1Jk6+rzZnHpDbPTJrK6e8B518g/lRQqtNJA6cH33neWPNqfBKe+wZuSrDAA0rlyz2hrDmuP36pa/AttWfG25Wqv+PS87FH9zdMaufv6ya/QTJZ5VvTpr/zOpnt2dCa8x8wqT1KSLfNcU3xy/xR2/TXl6H1vPhlo+fst5vshESPpXzpWPMYnOH0WMLV942E7zxy9Xysawlf6zH6KM89vKEZR0n4kv7O28NefdSJpjYjYNBEppB0ugi5BQGDcSpWoycxdv6I82j0wNf3frdrzumUDJ5S9Hf0DOZl8MTp72MWfoxY+mO5OflqnLHRPitpm2zh/WecOtaklEGSF9Tw5QZPtQVkwNdrSNlrjf6WfUb5W9c0WSWZ1JbwnedJbc5vSLHDEr6cvSUtqc3mcprP+Q8p93EJX39c4jwvkyoc1xS/zDNL4UsynN+b0p/+uH1bc3YC4wt7L3J6nKJPKfo7T/bB3jNLNaTwzXXMPtSDh5H60EvltBEBg3L6gm0JGTpuQcBgSAVGb8iiiy3w7YLqZJ2c05kyeNI6RbUPnriJqhRn3veUli/3JHxKv/rjl7gObQNNHh2y9TpVUzV8afC0c+EHrEd/CFnTt6oGT0EIfKcAOdMhNPqb6dC9qIabrMKktr3rOL9BYwMl+juPk1WhDaYe64rvqDZwfoPmuKN1lrSdyy/z5yTRX1+W1hzfWvyy0fP025ydSDnfVL7+uLWPL2AffE+Xvdbqb9lnpW8d3ctzPOzlW5DCl46965Itbve2q734XDx4MDjZnm70KmBwxx13uA996ENuxYoVbvfu3e4Zz3iGe+lLX+oOO+ywnuKPN5suQm5BwGCJSi6jl2LsfH/Mg9EDX9/b3a6tgyeN/o6eUc2Dp3CglDJJ5RlZ+NI19PPN57k9t97sq1v8YbnYJ6YGhQvd4GyD5Gk17nQsfMMBKQUt6LcTpG+PcO0pIQ18S+gFWRss+is7Qr9LhTaYziZl8jOFL1038/KENiarur0uOBs8Lf+Bjl3zpEpoEzRcfe+n2AcvQ3xr9Mv8+Y2uMb4YpZFvG/YhH8sua9LYhy7bU0Ldoe+Ah71K6JWy29CrgMG5557rLrroojGij370o90rX/lK95a3vMU97WlPG8urYYcMHbcgYLBEBUaP0458aeCbj2VbTTkGTxanqNbBUziZTH2Q8lTVaJ9Z+HIDNm07Rts0y+2ctoHOw8I3vH5SJiNnybDt2ODbRqe8PIv+lnc2+VoU6jHVrLk+U/lyQXDNcfORyFtTrskq36oUvnTsmiezPZNQdzGp4snY1jn9Mt+SFP31MjX6Zf7cRtehf6QJzmj4+jbUOr6AffA9XP7aor/ln11aCznfQfuwlz+yhm94H6jlYS/PpLZ1rwIG55xzjrvssssa++C0005bDBxs2LDBLVu2rLFcnzLoIuQWBAyWflgpfKVKa/Q0xs73S61GL+dNBXy9tkyuQ/2hEqmTyRa+vkU1Dp5Ch147YZSDb662+P6a9Tr8xIjW9tJ5WPmG15BlYmfWXP3xwdeTKH9t1d/yz1DXQs6HmNZkFR275knt8H5isXka/SW+NX8OjtNd7T1Ow9dfcdy9re9v0IW6q/XLPCML39xt8W0qZR3qD7UL4wt778A+2BlOqwaLfZhWG6d5nNDmWXwHareFbxjMtN4Lpslx3o5VVcDAd966devcn/zJn7g//uM/dgcffLBP7uWaLkRuQcDAORg9TjPypYFvPpZtNYWctTdMy03bty9XW3x9s17/5KRfG2vCIZ/5glu2Zu1YmnTHyjccYFidNGm7uygXngsd49Bbvms6lIUv157UQbGp8ZmFufMB38yQM1dn0d/MTSmmuvB+YrF5Gr50HdU4qc3ZB+1ktlcWDd9wMpL6t++T2Z5HTt2lOjV8fVtqm1TJ6Zd5Rlq+4bVksVG+LSWtQz3G+CJP74RcrXqj1V86m9rsQ54eGq/Fwne8pv7v5XwYydPQ8uV8CO3v4Pm2YN0NgSoDBh7VgQce6P7oj/7Ibdq0yf36r/+6T+7Vmi5CbkHAwLmcRk9r7Hzf1Gj0wNf3brfrHIMnq/76M6xp8MS9MaGddM3FN3Ts+zqpHX7uQzsI9XqXg2/I1tom37ZZrMF3FtT1x8yhv/qjlykZ3kuoldpJbQtfzjfr+6Q2Jqu613n4v90wzumX+RZa7APVEfoOffXLPI/RNcYXozTybcM+5GPZdU1W+9B1+6ZZP+eXacfFvt0Wvlx7arK/nlEN614HDA455BBHv2Fw3333tfYFKfPv/d7vLX6u6PnPf/7ikx6tAgVlUtu5Zd4DBpyRgdHjNEWXBr46bqlSOQdPlpv2aLtrGTyFkyqrz9nkVm/cNHqqSds5+IaTV32d1A7ZaicCRzvAyrcWtsQEfEc1ox/bVv3tx1nKWxnqMJ7AlLOLlcw5WeWPpdXf0O5a+9m3Z5Zr+L/d0Q/tgtUv8y3V6i/JhzrcV7/Ms/BrjC88ibxr2Ie8PKdRm8U+TKN90zpG7oeRfLstfMM5h1rsr2dTy7rXAYN3vetd7q1vfau78sor3d/93d+522+/PdovT37ykxffOHj1q1/t9t9//2j5WRegi5Bb5j1gkNvoWYyd75+ajB74+l7tdp1r8JRDf/2Z1jJ4CtlaJrVz8a2FbWjrrE+E5OAbDo4130r318Cs1+A76x5IO34O/U07Yvmlc05qW/mGdrfPk9qYrOpe9+H/dsc4p1/mW5nbPtQyYRWy1gZnrHx9P9E6tMV9ZA37MNqj5W/n1N/yz7a9haFNsIyL/ZGsfGuwCZ5FzeveBwze/va3D/rnc5/7nHv/+9/vPvvZzw7SmjYe+9jHOvoR5Te96U3uqKOOaio283S6ELll3gMGMHqcVuRLA998LNtqysnZetP27azl5h1OWFl+v4DY5OBby6R2brY5+IYTaX2eFARfb436s85hH/pztu0tDa9FKo03QNuZSXNzT1b541r0Nwxw9nES0HOgdU6/zNdr4Ut1wC/zJPm1hW8tfllIJqceW/iOtqsGPc7J1bOx8q2Bq2fRxdrKt4s2zaLO8F5tfdjLn4OFb63217OpZV1VwMB3yh133LH4xsEnPvEJt3v3bp/MrpcvX+5e9KIXLX6u6JRTTmHLzDKRLkJumfeAQW6jZzF2vn9qMnrg63u123WuicEc+uvPtBY9zsWWuOTiG06k9XVSO/wu7iwnA73e1sKWzgd8fa/2Y53LPvTjbOOtzD2pnYNv6NP0dVIbk1Vx/bOWCHXFOqmSQ3/hlzX3qpVvTb7DKKVcPrCV72ibatBj2IfRHi1/O6f+ln+27S3MZRNGj2LlW6v9HWVUw3aVAQPfMT/60Y/chz/8YXfRRRe5//3f//XJjesTTjhhMXDw8pe/3K1cubKx3DQz6ELklnkPGMDocVqRLw1887FsqyknZ+tN27ezlpt3iZOuxDh3u3y/TXPdxTnk0N8u2jVNrv5YXZwH+Hq63axz8O2mZdOvFZPa3THPPVnlW2rR3xomAT0HWuf0y3y9Fr5UB/wyT5JfW/l2cc/lWzq91Jx6bOXrz7oGPc7J1XOx8q2Bq2fRxdrKt4s2zaLOruychS90dxaakH7MqgMGHscvfvEL9/GPf3zxrYNvfOMbPrlxffjhh7s3vOEN7o1vfKOj7VkudBE2LRQ08BfpvK1Do/e4L33PzZrH3h3b3f1nnDroLnp6+LHbvjjzdmm4gO+jptJvJXImfSm1XSl27qenP9ftu3fH4HqkTxItP+LIqfRrWzt/fOKTBm2iDXo6v6285vrtur7bnnaMO3LlisF5POP2u9xdux+Z6XnUZH/Bdzr2t+vrZF7r3/p/1rpnP+bRA/twxrfvcdfvfGim9uHhW25yD2w8e9Am+o2Tgy+9cub3g1T7XuJ97ehV+7kvH3/0gO32h/e4p3/1zpn2dyrX0fIl+j+13N9K1F+y0zX4ZeH9pkQ9puus1HaF/Jr2S2x/LfZh1A438Ue63j/u0s4NHADFRnhNWd9aVzQBIhECcxEw8AzIEF1zzTXub//2b93nP/95n9y4prcMXvayl7k/+7M/c09/+tMby3WZQYaRW+bdqHZp9Cw3o1LblaovpZ5Hqe1K5evLY/DUXdATk1Z6p9LrZ9P6Z+e80u259ebBrYk+2bDypGfOdPLtlIP2d585ds2gTTc88Au34Vt393LSCny7swuW+3vT9YD08f4q8b5Wy6R2OLDGwzL573Ol+pmltivF/sEvy6+vTfxLtMN0/+27Hpfa/lLb1aSfSB/3m6bBo+uHkQYDsIQNvGGQAGuGRecqYDDK+bbbblt84+CTn/yke/jhh0ezJraXLVvmvvzlL7unPe1pE3ldJ7QFDLo+dsn1534l0E8iWM65JqMHvhZNkMvm+rxADv31ra7l8wK52BKXXHxrYZv7kyM5+Ob+brq/HmaxBt9ZUNcfM4f+6o9enmQ4qW19WiwH31r8s9xsSXty8O2iXbPSbPi/3ZHP6Zf5Vlr1txa/zPPw61ysrXx9e2hdA2vYh9EeLX87p/6Wf7btLcxlE0aPYuVbg00Y5VHr9twGDHyH3nvvve7v//7v3Uc+8hH3k5/8xCdPrC+77DL3ute9biK96wS6ELmFIpHzvMDoddv74NstX197Ts7Wm7ZvUy0373DS1fojlzn4hm1afc4mt3rjJo++N+vdW69yD77zvEF7rWypIivfWtgSC/AlCv1arPrbr7Ntb20Xk8c5+HbRrnYS+XNzT1b5Flr41hKM8Sxy+mW+TgtfqgN+mSfJry18a/IdRunk1GML39E21aDHObl6Nla+NXD1LLpYW/l20aZZ1BnaugPOv8Ct2nCWuSkWvjU97GUGWXAFcx8w8H3z0EMPucsvv3zxrYPvfOc7Pnmwph9PPvfccwf709qgi5Bb5j1gkNvoWYyd75+ajB74+l7tdh1y1k685tBff6Zhm2qZ1KbfFDlk63X+NJPWufiGkz25nLWkk8lQOPcEUQ6+4WQg/WbFsjVrM5zt9KsA3+kztxwxh/5ajl+abGjnrNdiDr65r6lZMcdkVffkQx/Iep/Oob+1jC/CYLjFL/OaYOUb2itrf/t2zXod6jHGF3l6JORq1Rer/tJZ1WIf8vTQeC05+I7X2N+90P5qbcIoASvf8Hrq65zDKJMatxEwCHp13759btu2bYu/c3DddcPJpY9+9KPuta99bVC6+126ELll3gMGMHqcVuRLA998LNtqCjlbBk/Wm7ZvZy2Dp3CCiM6PvrW/34nr/akmra18ufZYP9WRdAKZC+eeuLLwzXkdZcakrg581ehmImjR35k0uMOD5tZdaqqVby1PYIaDa+tklVcDC9/aJqvC+wkmVbyW2NecH2Txy3yLtPrLtafPfpnnQetQjzG+GKWj3w65wj7oWU5LUmsfptW+aR0ntHcWmzDaZgvfmh72GmVS2zYCBi09+qUvfcl94AMfcDfccIP79Kc/7Y4//viW0t1k0UXILfMeMMht9CzGzvdPTUYPfH2vdrsOOdPRNIOnHPpLx+ba0+fBUzhxpXXsc/DN1RbqpxKWcNBkcTytfEO2NTyhAr4laLmsDVb9lR2lP6VyT2rn4FvLpHZoF7T3tFFtsvIN+7vv9jf0gyz3NuJs5Ut11DS+CO/XVh228M3dFuqrUpZQj6ldGF/YeyfkCvtgZ9plDRb70GW7ZlV3aPM0NmG07Ra+oT9jvZZG24XtvAQQMMjLM3ttdCFyy7wHDIgJjB6nGfnSwDcfy7aaQs7awZPlpu3bl6stvr5Zr0NnhNqjdY4sfMOnWy3tmDVTf/xw0ETplqddtXxz9rE/txLW4FtCL8jboNVf+RH6UzK8JrX3tNEztvKtZVI7tAu5BtgWvjVNZnudC30hrd/g67PwDa+nXH3u2zbtdXg+dPxZ8K3RLwv7MtRjrS226K9vU662+PpmuQ7PZRb6688/vJ76bh/8eeVc59DfnO2ZZV1d6IuWb3gd9f1hg1n2a9fHRsCga8LG+uki5BYEDMp63bJGo5fzpqK9mXjdr5GvP7eQM6WnOp9WvnTMWgdPoe6sOGG9O+iSK+iUxYuVb442iBs7xYLhJJx2oGLhG35CSzsgniI28aHAV4xqpgUt+jvThnd08NyT2jn41jSpHd5PUv2FsNstfEP/RXsPCNs06/2c52XhSxzC/q5hUiU8J41f5nVEyzdnG3xbSluHekztS7UXWr6jLGobX4RcLXbPyjfU4xrsw6juWLetfK3HL00+9M+ofXjYq7ReKq89vQoYbNy40V1yySUDiu95z3vc2972tsF+jRtk6LgFAQP+8ykwepy26NJwU9Fx00iFDp9m8GR1inK0QXPuXctwAxWNQ63lG3Kl800dsHXNSFs/ZyM0ukvH1/Dl2Fp/YFXLogs58O2Cajd1avS3m5aUUWt4bVptnoVvzsmdEuh2cT5avmE/a+6tJTAN28DZXowvQkr6/Vx+mW9Bqv6Gekv1WG2Ub0tp6/BcNT5aKt+QQY42hHXOch/2YZb0049t1d/0I5YtkethJH+WGr41P+zludS07lXA4LbbbnMf/OAH3c6dO926devcm970JnfMMcfU1B8T50IXIbcgYLBEJZfR0xg73y81Gz3w9b3c7do6eLLoL51Z6MxTWk2Dp1CP6fxSJja0fLl+rekJeOIYfhs8lS2V1/C19ikdtw8L+JbfSxr9Lf+sbC3MOalt5Rve31Jsv41CN9KYrOqGa1hreI/RPkVs0d95Gl8Qf821mcp3HvyyUV3mzjeFcyrf0WPTdmh/Ka2G8QXsA/Vk+YtVf8s/w/QWcj6EJpBIR9bw5WxCTQ97pfdI+RK9ChiUjzN/C+lC5BYEDJaowOhx2pEvDXzzsYzVFDqfVH4aTj03mKhtUpv0eOfGs92+e3cMuoEG/6tOP8ut3rhpkNa2keoUcVy1Ew5t7Zp1HrHddckWt3vb1WNNSdFdEkzhy10rWmd3rNEF7oBvgZ3CNClFfxnx6pI43wFPaOfr5tAGWu8tGv2teTKbeorTYe19RsO39kkV4mv1y/wVJeU7L36Z5+LXob2g9BQfTcrXH8+vOd61jC9gH3wvl7/W6m/5Z6ZvYY6HkfzRU/habZE/JtbTJYCAwXR5Jx+NLkJuQcBgSCWH0Usxdv7I82L0wNf3eLdry+BJo790Npwzb5146JaSvnbOuafaJIOXVL7cQJ+OVcNTVXQe4cLpLpWRTq6k8OXY1qqznjP4ehJlrlP0t8wz6KZVoY+kvU4tfGud1ObuZ1J7G/a2hi9nh2t8QhD+b6gtefc5PaYjSPwy3xKp/nI6S3XU6pd5PrTmfAiyx5KHZqR8R49H2/MwvoB9CHu9vH2t/pZ3JnlbRDYBD3vlZVpzbQgYFN67ZOi4BQGDIRUYvSGLLrbAtwuqfJ3E+v4zTp3IlAyeUp2ieRw8cQMYgk0DpwM2X+j2O3H9BHufIOFL9dMk2eibDF6+9kFpk+4S29Wv3+RWbTjLo2DXMb70iRNybueRLQEDX1ZtikmM6W8xDZ1iQzidxaR2vg7IMVnlW5Oiv2EgiOpIeVrZH7MPa9JhTKp021MWv8y3rE1/59kv83xozdljSsf4gijoFtgHHbdpS7XZh2m3paTjkf6Gb3lR+1L9NAlfbs5B+xBJSQznpS0IGBTe03QRcgsCBuNUrEZPYuz8EefR6IGv7/3u15rBU4r+zvvgqYkv9Sw5SfSJojBwEONLddLkzZ5bb2YVpPZggT/pJjtB+W1BmTa+bYGCtjp9m2pag2+Zvdmmv2W2eHqtyjGpreE7D5PaZA8wmd29LjfZXemkSor+zuP4gnpQ45f5nm/iC7/MExqumzi3+VJNfIe1Dreo/nl7aAb2Ydj/JW6l6G+J7e+6TaS/3IOKZBPwsFfX9PtTPwIGhfcVGTpuQcBgkgqM3iSTnCngm5Nme11NTj1JYVK7nZ0kt8nB97LkKFHQYOUvn4pfvrC//IgjHdldkt278FsItN6zMDgKv93v66A19dWBmy9wy9asHU2uepu4cJNY/qQ92xULfIkLsaU13ev27tiexPagS67w1c7NGnzL7GoMSvl+adLX1CfSU/hywQLp5C5/FuWmEl88Idh9/xBnTKp0y7lJl/1Rve8w6pd53+roVfu57954PfwyD6tljfFFCxxlFuyDEtyUxFL8hyk1qajDtNlesruaN/DxsFdRXWxuDAIGZoTdVkBGjlsQMOCo8N9p9CXbjF7bzQRGzxME3yGJ7rfabuB09NHB02mnnea++M1vDyamSRaT2u19RIzaJrbbpeO5kte847X0swSx3b31arfr0i2dnMA8syWg4NuJWqkrbfMf1JVWJEj6apnUTuE7j09oE19MZnd/wTTpMR0Z44s8/Ikx/LI8LNtqadNlksP4oo0en9fGFPaBZzaN1BT/YRrtKfUYMdvrbQIe9iq1B7ttFwIG3fI1106GjlsQMOCoLKXB6DWzyZEDvjkoyuqIsZbV0lxq3ideiQwx/vnm8xo/J9RMj8+Zx7cKeBJLbHMO/klf6RVZ/1Rh03HnJT23fQBfveZgUNrOjnQVk9rtjCy5xJcLylCdbZNV/pic/uJhGU9nuI7ZXEyqDFlZtogz/DILwbhsTJfjNbSXmMfxRYwp7EO7znSVy93fujpWn+sl/cXDXn3uwe7ajoBBd2yz1IyAgQ4jjJ6Om1QKfKWk8pQj3hg85WHZVItnTPlNv0XQJOsHAZjM5gkRW3oNnhxRsOUZWVLB10LPLovBqIwh6almUruNLya1h+yJb1uA1t+n8ITgkJlmizhjUkVDLl2GWJPvSwt8h3R+EgnPOJVvU93z/tAM7EOTZswmvc1/mE2Lyj8q6XCbL5F6BngYKZVYeeURMCivT8ZahIDBGI7kHRi9ZGRJAuCbhMtcmHhj8GTGGK2AONMEN/1Gwd57Fn6v4N67F/52LMrRpMuyJyx8e3/N0nrFSesnfiQ5eoA5LpDCdtWGM/E2QaKugG8isEzFMSiVgST9bBuIYlJbxrGpFPHFZHYTnbzpMV1OPRomVdqJtd3btj+8x6175rPhl7UjbM0lvhhftCJKyoR9SMLVaWH4Zzq83ubiYS8dv5qkEDAovDcRMMjTQTB6eTg21QK+TWS6S/fMaVL72k9e6Z5z7JMwqd0RbjibHYH9ZbXgC77dEui2duhvGl+6d2FSO41Zamli3BaYSa0Pk9nNxLwvhkmVZkZd5sD+5qfrdRrjCztbzxL2wc5SUwPsg4bapIzXY8mDdHjYa5Jf31MQMCi8B8nQcQt+w4CjIkuD0ZNx0pYCXy05mxycIhu/mDT4xgjZ8sHXxi8mDb4xQrZ88E3nR74CJrXTuaVIeH8Mk1Up1PRlPW9MqugZaiRhfzXU5DLgK2fVVhL2oY1Od3nQ3+7YUs3g2y3fEmpHwKCEXmhpA12E3IKAAUdFnwZjp2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89exI0k+iYFLbxjEm7TljMjtGKm8+7ENenmFt4BsSybsPvnl5hrWBb0gk7z745uUZ1ga+IZE69xEwKLxf6ULkFgQMOCq2NBg9G7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/Lw0JrU9iemuob/d8gZf8O2WQLe1Q3/Bt1sC3dYO/QXfbgnUXzsCBoX3MRk5bkHAgKOiT8PNRM9OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+eXZ8kETAovLfoQuQWBAw4KrY0GD0bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/PogjYBB4b1EFyG3IGDAUdGnwdjp2UkkwVdCSV8GfPXsJJLgK6GkLwO+enYSSfCVUNKXAV89O4kk+Eoo6cuAr56dRBJ8JZT0ZcBXz04iCb4SSvoy4KtnJ5EEXwklfRnw1bPrkyQCBoX3Fl2I3IKAAUfFlgajZ+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjF5MG3xghWz742vjFpME3RsiWD742fjFp8I0RsuWDr41fH6QRMCi8l+gi5BYEDDgq+jQYOz07iST4Sijpy4Cvnp1EEnwllPRlwFfPTiIJvhJK+jLgq2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ewkkuAroaQvA756dn2SRMCg8N6iC5FbEDDgqNjSYPRs/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18euDNAIGhfcSXYTcgoABR0WfBmOnZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV8+uT5IIGBTeW3QhcgsCBhwVWxqMno1fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+fZBGwKDwXqKLkFsQMOCo6NNg7PTsJJLgK6GkLwO+enYSSfCVUNKXAV89O4kk+Eoo6cuAr56dRBJ8JZT0ZcBXz04iCb4SSvoy4KtnJ5EEXwklfRnw1bOTSIKvhJK+DPjq2fVJEgGDwnuLLkRuQcCAo2JLg9Gz8YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxq8P0ggYFN5LdBFyCwIGHBV9Goydnp1EEnwllPRlwFfPTiIJvhJK+jLgq2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ewkkuAroaQvA756dhJJ8JVQ0pcBXz27PkkiYFB4b9GFyC0IGHBUbGkwejZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjF5MG3xghWz742vjFpME3RsiWD742fjFp8I0RsuWDr41fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr49UEaAYPCe4kuQm5BwICjok+DsdOzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZ9cnSQQMCu8tuhC5BQEDjootDUbPxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG78+SCNgUHgv0UXILQgYcFT0aTB2enYSSfCVUNKXAV89O4kk+Eoo6cuAr56dRBJ8JZT0ZcBXz04iCb4SSvoy4KtnJ5EEXwklfRnw1bOTSIKvhJK+DPjq2UkkwVdCSV8GfPXs+iSJgEHhvUUXIrcgYMBRsaXB6Nn4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54Gvj1wdpBAwK7yW6CLkFAQOOij4Nxk7PTiIJvhJK+jLgq2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ewkkuAroaQvA756dhJJ8JVQ0pcBXz07iST4Sijpy4Cvnl2fJBEwKLy36ELkFgQMOCq2NBg9G7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfz6II2AQeG9RBchtyBgwFHRp8HY6dlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWz65MkAgaF9xZdiNyCgAFHxZYGo2fjF5MG3xghWz742vjFpME3RsiWD742fjFp8I0RsuWDr41fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NXx+kETAovJfoIuQWBAw4Kvo0GDs9O4kk+Eoo6cuAr56dRBJ8JZT0ZcBXz04iCb4SSvoy4KtnJ5EEXwklfRnw1bOTSIKvhJK+DPjq2UkkwVdCSV8GfPXsJJLgK6GkLwO+enZ9kkTAoPDeoguRWxAw4KjY0mD0bPxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfHrgzQCBoX3El2E3IKAAUdFnwZjp2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ewkkuAroaQvA756dhJJ8JVQ0pcBXz07iST4Sijpy4Cvnp1EEnwllPRlwFfPrk+SCBgU3lt0IXILAgYcFVsajJ6NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjF5MG3xghWz742vjFpME3RsiWD742fn2QRsCg8F6ii5BbEDDgqOjTYOz07CSS4CuhpC8Dvnp2EknwlVCSldl3z91u99ar3b5773Z779mxuN537w637AlHLFaw7Alr3fI1S9srN5zl9jtxvaxilGokAP1tRJMlA3yzYGysBHwb0WTJAN8sGBsrAd9GNFkywDcLxsZKwLcRTZYM8M2CsbES8G1EkyUDfLNgLL4SBAwK7yK6ELkFAQOOijwNk1ZyVrlK4qaSiyRfD/jyXHKlgq+e5CNfutntueVmt3vbVQsBgh1JFVEggYIGCB4kYZsoDP2dQJI1AXyz4pyoDHwnkGRNAN+sOCcqA98JJFkTwDcrzonKwHcCSdYE8M2Kc6Iy8J1AkjUBfLPiLLIyBAyK7JZho+gi5BYEDDgq7WmYtGrn02UubiZd0nUOfMG3WwK62ikwu+uSLQuBgqt1FYxI+cDB6tdvcsvWrB3JwWaMAOxDjFA8v+0hg7vuusute+az8WZMHKOqBPRXhU0sBL5iVKqC4KvCJhYCXzEqVUHwVWETC4GvGJWqIPiqsImFwFeMqtcFETAovPvoQuQWBAw4KnwaJq14LtNOxU2lW+LgC77dEkirfdfFW9yuS7ekCQlK+8DBAZsvFJRGEU8A9sGTkK/xkIGcVdclob/dEgZf8O2WQLe1Q3/Bt1sC+Wpve/iAjoLPcuZj7WuCffAkulmDbzdcS6oVAYOSeoNpC12E3IKAAUdlMg2TVpNMZpGCm0m31MEXfLslkFb7ztef7fbcenOj0KrTz1wcFK04ab1bvvDJoeVHHOn27ti+WH7vwieL/ICqrY4VJ6x3B26+AG8bNFIeZsA+DFlItvCQgYTS9MpAf7tlDb7g2y2BfLV73wC/gZSPaawm2IcYoXi+f/hA8xCNf0gGn+WMc+ZKQH85KvnSwDcfy5JrQsCg5N5ZaBtdiNyCgAFHZTwNk1bjPGa9h5tKtz0AvuDbLYF47TQoenDzW9nfKaAJ/lUbzlz4O4utiNNfmhygOulHkrngAQ2k6E0D/DAyi3QskeM7VgA7iwTwkEGZigD97bZfwBd8uyWgrx2TrXp2uSRhH3QkSXcf3npVls9yUgvoYRsEDtL7AvqbzixFAnxTaPWzLAIGhfcbXYTcgoABR2UpTTNp1WbsMGnVzFqa08ZXWgfKNRMA32Y2OXLAN06R7O4DG8+eKEiT+vS7A02BAhKQ8N29MOii30MIfzQZQYMJ5BMJEr4TQnOYkPqQAf2WBvkH69atc9+98Xq8GdORzkB/OwL7y2rBF3y7JaCrHZOtOm65pWAfdETp4Zkcv98VHt2/cYDPcoZk+H3oL88lVyr45iJZdj0IGJTdP3jDILF/MGmVCGyKxXFT6RY2+IJvtwTaa79/w29PTObTWwUHXXJFu+AvcyX6S5Oz3I8o0wDqoIuvwOeJWkhL+LaIV52lecggBDLKFw8ZhHTs+6N87bWhhpAA+IZE8u6DbxpPTLam8eq6NPRXTpj8CXpTkXsr1teS47Oc8Hs9zfga+htnZCkBvhZ6/ZBFwKDwfqKLkFvwhgFHxTntpFWKscOkFc++LTWFb1s9yOMJgC/PJVcq+LaT5J7MpgGR9AmoFL5kf+kTReG3YFOCE+1nU19uCt/6zr79jCwPGfia2/jizRhPSb9u46uvFZKeAPh6Et2swVfOFZOtclbTKgn9lZNu8ieohqbPcrbxlTx8EHuDV976Oku28a3zjKd7VuA7Xd6zOhoCBrMiLzwuXYjcgoDBJBVMWk0yKSkFN5VuewN8wbdbAnzt3JOAKcECX2uq/nLfmtcc1x+/9nUq39p5+PPTPmTg5f26jS8eMvCU9Os2vvpaIekJgK8n0c0afONcNZOtvlaOLyZbPR37muNrr7WuGpr0lwIFqzduav2tLQlfeviA+z0vetMAQYN2XZLwba8BuW0EwLeNTh15CBgU3o90EXILAgbjVKyTVlpjh0mr8X5o2tPybaoP6eMEwHecR+498OWJ0oD8/jNOHcvUPOmv4ctNwuIV7bGuGOxo+A6EK96wPmTg0Uj4kr7izRhPLG0t4ZtWI0qPEgDfURr5t8E3zhSTrXFGsyoB/Y2Tb9Pf2Gc5U/hyfi+1Dr5vcx+l8G2uBTlNBMC3iUxd6QgYFN6fdCFyCwIGQyqYtBqyKHkLN5Vuewd8wbdbApO1h4FaGrQcsvW6yYKCFI3+ku3fufBDy6M/hIy3DHjYGr58TXWkhrpLZ2XRHSlfPGSg0x8pX13tkALfbnUAfJv5WiZbfa0Svphs9bTS1xK+6bXWI8G9qXjA+Re4VRvOEp1kKl962+DBd543VjeCBmM4xnZS+Y4JYydKAHyjiHpfAAGDwruQLkJuQcBgSCUc+GsmrSzGDpNWw75o2rLwbaoT6UMC4Dtk0cUW+E5S5QK1KQOk0RotfMOBE9l/+u2E/U5cP3qIud628K0RHKe7mjdjPJsUvtykFQb6niS/TuHL14DUNgLg20bHnge+7Qwx2drOZ9a50N/2HuDeVHzMxVeIfVAt39D3pVZaHnpoP8v+5mr59veMp9ty8J0u71kdDQGDWZEXHpcuRG5BwGCJCjfwx6QVpzGzT8NNpds+AF/w7ZbAeO05ArWjNVr0NxywYdA0SnZp28J3srZ+p+TWXaKRwpf8FrwZk6ZDKXzTakZpIgC+3eoB+PJ8w3s3lUqZbPW1pvLFZKsnJ1un8pXV2v9S3NsxGv9Ty5d7Y1Fz/fS/J9rPQMu3vVbkegLg60nUu0bAoPC+pYuQWxAwWKKSa+Cfw9iFjq/GaeD6uoa0HHxr4NDVOYBvV2SX6gXfSb7hU4HaQC3VbOUbDv41b5lNnmE9KVa+9ZBwLudDBp6Lhi+ns3gzxhMdX2v4jteAvTYC4NtGx54HvjxDTLbyXEpLhf4290g47te8qWjhS/7Mzzef5/bcevOgkZo2DIQr3LDwrRBH9lMC3+xIi6wQAYMiu2XYKLoQuQUBgyUqmLTitKPMNNxUuu0X8AXfbgkMa+cmXQ+95bvDAooti/5y7cFTVuOdYOE7XlO/93I9ZBBS0PANJxvwkEFIdbiv4TuUxlaMAPjGCNnywXeSX2j/LBOdGr6YbJ3sk6YUDd+mumpJD4P+dF5av9PClwu8adtRS9+E52HhG9aF/UkC4DvJpLYUBAwK71G6CLkFAQP+SUHtpFUOY4dJK05Tl9Jy8G2uHTng260OgO843/A1aOtEZw6+4eSDtU3jZ9zvvRx8+01g2PqcDxn4WrV8wwkHvBnjiY6vtXzHa8FeEwHwbSKTJx18JzmGto9KaCc5LXwx2TrZN2GKhW9YV0374cMHWp8zB99cbampf/y55ODr68J6kgD4TjKpMQUBg8J7lS5EbkHAwDlMWnGaUW4abird9g34gm+3BIa1h4MTy+eIfK1W/Q0nILSDN9+e2tZWvjXw4IL62ocMQh4avlx7tJNmYXtq29fwrY1Bl+cDvl3StX92r9vWTb/20Iew3q8t+pu7LdOn2f0RLXy7b91sjvCTk35t7MCHfOYLbtmatWNp0h0r39CXwMMH4+StfMdrw15IAHxDIvXtI2BQeJ/SRcgtCBg4Fzp5lkmrXMYOk1actmKwxFPJl5pLf/O1qK6awHe8P8On+a2TnDn4hk8KWj5vMH62/d/Lwbf/FPI/ZOCZWPiG15J14sy3qaa1hW9NHLo6F/DtiuxSveA7yReTrZNMSk2B/k72TOhvUgntwwe5+Ia+hNUvnzzrfqbk4tvPs+++1eDbPeMSjoCAQQm90NIGuhC5BQED53LfHHMYvdCJwKTVUHtz8B3Whq2QAPiGRPLug++QZ/hZF8uTVb5WK188YeVJ8msrX77WfqXmfMggPHMtXzxkEJLk97V8+dqQGhIA35BI3n3wHfIMx0mUo51s9bVa+eYeT/p21bK28q2Fgz+P0JdYfc4mt3rjJp+dvM7BF75EM/YcfJtrRw741q8DCBgU3sd0EXILAgbO5Zy0ymXsMGnFaSveMOCp5EvNpb/5WlRXTeA73p/h04GzHuxT62B7x/todA/6u0Sjq0khC99w8gwPGYxq7tK2he9kbUgJCYBvSCTvPviO88Rk6ziP0vegv5M9FOowvnAwyaiUFOhvtz0Bvt3yLaX2uQoY3Hfffe7DH/6w+/rXv+5+8IMfuDvvvNPtv//+7tBDD3XHHXece/KTn+xOO+00d+qpp5bSP44uRG5BwMA5TFpxmlFuGm4q3fYN+IJvtwSGtee2vVRzDv3tol3Ds+73Vg6+/SaQ9yGDkIWWLwJdIUl+X8uXrw2pIQHwDYnk3QffIc+ck62+ViueDaSsAABAAElEQVRfPJ3tSfJrK1++1v6m5nxgkSjk4IuHD5r1KQff5tqRA77160DvAgb/8R//4W655RZHE+bPetaz3O/8zu9Ee2nnzp3uwgsvdB/4wAfcgw8+GC1/+umnu/e///3u2GOPjZbtugBdhE0LMfAX6Tyuf3zik8bQ0FOuJXAotV3zri84//m2F+j/fP1/29OOcUeuXDGwv8+4/S531+5HZmp/9+7Y7u4/49RBm+hH3x677YuLvkIJ9wXoXz790/ZnGFB63Je+N3P9gN7OXi+0+gS5R838+oFd7d/1U6L/8PAtN7kHNp498B/oTa+DL70S+j3n8wxN9uWnpz/X7bt3x0Bf6LOcy484cqb6cvSq/dyXjz960KbtD+9xT//qnTP1y5v4Ib1/djvm7wwUDxtVEuhVwOCOO+5wxx9//KJBpt5Yv369u+mmm1o7hozS85//fPf5z3++tVyYud9++7m3v/3ti39h3jT36QLlFhjb/+dKdDox+K/vJhi7SSIfkwbzZo9/ds4r3Z5bbx7cmujH1Vae9MyZDpZOOWh/95lj1wzadMMDv3AbvnU3BksLPsS86WfT+ZYazC+1XU0ckQ4/B34P7KrWDmCyFfaj7/ajxIcP6HostV1972+0X3a/GwzAsFEdgV4FDN7xjne4d7/73YNO2Lhxo/vIRz4y2Oc26BNEb37zm7ksUdqnP/1pd8YZZ4jKdlGIjBS30I1h3pec3yP2NwMrU7wSyBPMxZevHang260OgO8439yfFMjBd9fFW9yuS7cMGrrq9DPdAZsvHOzP80YOvjXwy/0ZAc/EwhefJPIUm9cWvs21IscTAF9Pops1+I5zDSc1S/gNJGph7naNn3V/96C/k32X05fIyRc6PNlXOflO1o4U8J0PHehVwOB5z3ueu/baawc9c80117gXvOAFg/1wY/v27Yu/TfDQQw+FWe6www5zxxxzjNu3b5/bs2eP+973vsd+rujxj3+8++pXv+p+9Vd/daKOaSTQhcgtCBg4h0krTjPKTcNNpdu+AV/w7ZbAsPYuvvdr1d/wfrD6nE1u9cZNw0bP+ZaVbw34cj5kEPLQ8sVDBiFJfl/Ll68NqSEB8A2J5N0H3yHPnJOtvtYcfDHZ6mlOrnPwnay1vym5fYkcfOFLNOtTDr7NtSMHfOvXgV4FDNasWePuvffexV5Zvny5u//++92BBx7Y2EtXXnmlO/vs4TcJqeBTnvIUt3nzZnfmmWe6ZcuWDWQpaHD55Ze79773vYs/iDzIWNh44Qtf6LZt2zaaNLVtugi5BQED53JOWuUydpi04rQ1zw868TUjlQjk0l/Q5AmA7ziX3E9F5+AbDvbpm7LL1qwdb/ic7uXgWwO68P58wPkXuFUbzjKfmoUv3oyJ47fwjdeOEuDbrQ6A7zhfTLaO8yh9D/o72UM5dTgXXwQMJvuJUnLx5WtHKvjOhw70KmCwcuVK98gjjyz2zLp169z3v//91l6i3yB4z3veMyhz+OGHu9tvv93RWwNNy+7duxd/SPnGG28cK0JvK6xdO/3JB7oQuQUBA+cwacVpRrlpuKl02zfgC77dEhivPeeAiWq26G8YPKYfPD5k63XjDZ7zPQvfWtCFepLzs1VavmEQA2/G8Nqm5cvXhtSQAPiGRPLug++QZ27fgWq28sVk67B/uC0rX67OPqeF922rL5GDb9gm+BJDDcvBd1gbtkIC4BsSqW+/NwGDhx9+2K1atWrQAyeeeKK75ZZbBvvcxotf/GJ31VVXDbLojYNXvOIVg/2mjR/96EfupJNOchQk8MtFF13k3vCGN/jdqa3pIuQWBAyWqORyPHMYu3AyApNWQ83NwXdYG7ZCAuAbEsm7D76TPHPaOyvf8D6AgdJ4f1n5jtfW373cDxl4Eha+eDPGU2xeW/g214ocTwB8PYlu1uA7zjWc2MRk6zif0vagv5M9UpL/61sXfuor1xuUvv6+rqG/3fYc+HbLt5TaexMwIGCHHnqo++lPf7rI7rjjjnPf+MY3WjnS54e+/vWvD8rcdddd7qijjhrst2287W1vc3/1V381KLJp0yb3wQ9+cLA/rQ26ELkFAYMlKiXdtDFpxWnqMA03lSGLLrbAtwuqwzrBd8iCtsLJV0qzDFC0fMN7ALXjMRdf4fY7cT1tYvklAS3f2gCG9+lcuqLhG+ouHjJo1jYN3+bakBMSAN+QSN598B3y7MLuWflisnXYP9yWlS9XZ5/TOP/X4ktY+XLtsf6YeJ/7J2y7lW9YH/bHCYDvOI8a93oVMDj55JPdf/3Xfy32wwEHHLD4GwYrVqxo7Bf6bNGdd965mL///vuzP2rcJLx161Z3xhlnDLJf/vKXu09+8pOD/Wlt0EXILQgYLFHhbpKaSSursQsdYGqdxXng+rzPaVa+fT73abQdfLulDL483/BJQe2Ep4VvONC3Pq3In2m/Uy18+33mk60P79VanR2tWcs3DF7gzZhRqsNtLd9hDdhqIwC+bXTseeA7zpAbt1nGS1a+XHsw2TrsMyvfYU11bYX3b63vmYNvrrbU1UNLZ5ODb41ccp0T+OYiWXY9vQoYvPa1r3X/+I//OCD66U9/emxSf5Dxy43f+q3fGny26OCDD14MMIRlmvZvuOEGd8oppwyyX/CCF7hrrrlmsD+tDboQuQUBgyEVTFoNWZS8hZtKt70DvuDbLYHJ2rmB9ooT1ruDLrlisnAkRaO/4SCJDoEfO+ZBa/jyNfU7ldNZzUMGIYVUvmHgguqzTJqF7altP5Vvbeff9fmAb7eEwXecb3jv1k62+lotfHO3xbepprWFb00cRs8l5z3cwjf8/Q1qI3yJ0Z6y/8bJeG3YCwlY9DesC/tlEuhVwOCCCy5wf/7nfz4guX79eveFL3zBPfrRjx6kjW7QGwL0poBffvzjHy9+1sjvt63pNwvOPffcQZE//MM/dB/72McG+9PaoIuQWxAwGFLhJgBSJ60sxi50NqllmLQa9g9tWfiO14Q9jgD4clTypYFvM8tdF29xuy7dMlYg9UlpDd8wUEwNSD3uWKMr3tHwrRiHC3XH+paBhi/ejJFrmIavvHaUBN9udQB8J/lisnWSSakp0N/mngnH/6lzD1SzlW+ONjSfYf9zrHz7T6DbMwDfbvmWUnuvAgbXX3+9e85znjPGbsOGDe7qq6923KeJ3vve97q//Mu/HJT/13/9V/cHf/AHg/2mDZqMp3r/7d/+bVDkne98p3vHO94x2J/WBl2I3IKAwTgVTFqN8yhxDzeVbnsFfMG3WwJ87RSw3XXJFrd729VjBVIn71P0N5zwpQNrBmpjDa58J4Vv5SjY39+w6k8K33CAT7zxkEG71qXwba8JuRwB8OWo5EsD30mWoR202GAt35xtmDzDelK0fOshwJ8J93R/qu9LNWv5hvpLdeHtAqIwvmj5jteCvSYC4NtEpp70XgUMCDtN5G/btm2sB84++2x3+eWXu+XLl4+l33TTTe5Zz3rWIO0Vr3iFu/LKKwf7TRtvectb3JYt409MXnHFFe6Vr3xlk0hn6XQRcgsCBuNUrJNWGmOHSavxPmjb0/Btqw954wTAd5xH7j3wbSdK9nfnxrPdvnt3jBWUTgCk8OUGSNYnxMcaXeFOCt8KT589pRwPGfiKU/hyfoNmgsEfex7WKXzngUfucwTf3ETH6wPfcR5+D5OtnkTZa+hve/9Y7+lavtz1Y/20V/uZ9jNXy7efZzv9VoPv9JnP4oi9Cxh8+9vfdk996lPdI488MsbryCOPdG984xvdOeec4w477LBB3rHHHuu+853vLO6vXLnSff/733dHHHHEIH90g+p+97vf7T7xiU+MJjuSozqOOuqosfRp7NCFyC0IGExSwaTVJJOSUnBT6bY3wBd8uyXQXjvZ3/vPOHWiEE3mr379Jrdqw1kTeaMJMf2lTxjQmwxhUILqwBNVoyT57RhfXqreVOtDBiEZCV9uYkEaVAuPN2/7Er7zxiTn+YJvTpqTdYHvJBNK4WyiJoCayheTrXx/NKWm8m2qp8Z0bu6B/N5Vp5/lVm/cJDrlVL6c/uLBmWbUqXyba0IORwB8OSp1pfUuYED4zzvvPHfhhReyPUG/Z0C/XUBBhSc+8Ynu3//938feKnjJS17i3va2t7ldu3Y5+k2DO++8033zm99c/C2EO+64w3ET8W9+85vdhz70IfZ4XSfSRcgtXDu5cvOWpp20kho7TFrpNErKV1c7pMC3Wx0AXxlfbuDkJWkwc8DmC91+J673SYN1G982m9tW56BybKhfd68dXZO+pk7it+mvZ4g3YzyJ9LWEb3qtkPAEwNeT6GYNvs1cORuMydZmXrPIgf7GqTfNPUie+E/ly/kS1EI8OMP3UypfvhakNhEA3yYydaX3MmBAk+X0JsDmzZvZCf6cXXTIIYcsBhQOP/zwnNWK66ILkVsQMOCoLKVxDqgv3TbB1Gb0MGnlCerXbXz1tULSEwBfT6KbNfjKuJL95X7TwEuTDaagwYqFv2Vr1rrlC/u0Jr57d2x3exc+a0R17PnSzRO/i+DroHXqpO6o7DxuQ3/5Xm8a6JOeSt6M8bU28W3zHTDA9/Ti6ya+cUmUkBAAXwklfRnwbWbXZIMlk62+VilfTLZ6YmlrKd+0WusqzT31T2fYNu/gCUj4Uv30Rg7esvXU5GsJX3ltKBkSAN+QSH37vQwY+G6gHzF+9atf7X7+85/7pKzrJz3pSYu/l3DcccdlrTelMroIuQUBA47KMC110urXTj7F3bV76TNXJItJqyHLHFu4meSg2FwH+DazyZEDvmkUyYbu3nq123Xp+G8BpdXSXDplIqG5lvnJgf629zXpK/cbHCSlHey3BQokdba3eL5yob/d9jf4gm+3BOK1Y7I1zmhWJWAf5OSb9JhqoIdc6BNF4Vu2Mb5UJ/3m0p5bb2YbggcPWCyDxBjfQUFsqAiArwpb74R6HTAg2nfffbe76KKL3GWXXeZ+9KMfZemAVatWOfp00Qc+8AH3uMc9Lkud2kroQuQWBAw4KuNpmLQa5zHrPdxUuu0B8AXfbgmk1042uO1tg9QaKVBAT33TGwlY0gjAPrTziukqTfJzb8ZQrST73OOOdZ+/4uN4M6YdszoX+qtGJxIEXxEmdSHwjaPTTLb6Wpv4YrLVE7Ktm/jaaq1TmvyBn28+r3GC3/sSK3/5u170lu3yI45c/GIGyaY8sHjg5gvgDwvUCPorgGQoAr4GeD0R7X3AwHPevXu3+9SnPuWuueYad+uttzr6AeN9+/b57Oj60EMPdccff/zi7x+85jWvmXmgwDeYLkJuQcCAo8KnxSYCeKnmVExaNbNpysHNpIlMnnTwzcOxqRbwbSIjSycbTAN3euug6Smpppr84AqBgiZC8XTob5wRlSA9xZsxMlbTLAX97ZY2+IJvtwTktZMNbnrbi2rx/gAmW+VMrSVhH9IJ5p53CFuAt2xDIs370N9mNjlywDcHxfLrqCZgEKKmzxR99atfdffdd5/buXOne+CBBxb/qNwBBxzgDjzwwMU1vUHwG7/xG+6II44Iqyhiny5EbkHAgKPSnoZJq3Y+XefiptItYfAF324J5Knd22H6jYK99yz8XsG9dw++yUqTAcuesPC7BmuW1qs2nImnp/Jgxw8fJ3DMPdjHQwYJ8BuK4v7WACZTMvhmAtlQDfg2gGGSc9vf8BCYbA2JxPehv3FGXAnS5ba3DTiZtjT6rBHeKmgjxOdBf3kuuVLBNxfJcuupNmBQLvK0ltFFyC0IGHBU5GnhpNUPbrrBHblyxWIFmLSSc5SWxM1ESkpXDnx13KRS4CslpSsHvjpuUinwlZIaL+f9BLwZM85l2nvQ326Jgy/4dktAVzsmW3XcckvBPtiJel2mmvCWrZ1nSg3Q3xRa6WXBN51ZHyUQMCi81+hC5BYEDDgqtjQYPRu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4xQe74PHjS9GfOf3/6e+51XvHLxDRm8GdPOUpML/dVQk8uAr5yVpiT4aqgtyWCyVc8ulyT0NxfJpU8f0ic6m3yJ0bdsV5y0fuJHkvO1ZH5qgv5229fg2y3fEmpHwKCEXmhpA12E3IKAAUdFnwZjp2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ewkkuAroaQvA756dhJJ8JVQkpWJBW4x2SrjmFIK+ptCK70s+KYzS5EA3xRa6WXBN51ZHyUQMCi81+hC5BYEDDgqtjQYPRu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38+iCNgEHhvUQXIbcgYMBR0afB2OnZSSTBV0JJXwZ89ewkkuAroaQvA756dhJJ8JVQ0pcBXz07iST4Sijpy4Cvnp1EEnwllPRlwFfPTiIJvhJK+jLgq2cnkQRfCSV9GfDVs+uTJAIGhfcWXYjcgoABR8WWBqNn4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV8fpBEwKLyX6CLkFgQMOCr6NBg7PTuJJPhKKOnLgK+enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2fZJEwKDw3qILkVsQMOCo2NJg9Gz8YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXx64M0AgaF9xJdhNyCgAFHRZ8GY6dnJ5EEXwklfRnw1bOTSIKvhJK+DPjq2UkkwVdCSV8GfPXsJJLgK6GkLwO+enYSSfCVUNKXAV89O4kk+Eoo6cuAr56dRBJ8JZT0ZcBXz65PkggYFN5bdCFyCwIGHBVbGoyejV9MGnxjhGz54GvjF5MG3xghWz742vjFpME3RsiWD742fjFp8I0RsuWDr41fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn59kEbAoPBeoouQWxAw4Kjo02Ds9OwkkuAroaQvA756dhJJ8JVQ0pcBXz07iST4Sijpy4Cvnp1EEnwllPRlwFfPTiIJvhJK+jLgq2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZ9UkSAYPCe4suRG5BwICjYkuD0bPxi0mDb4yQLR98bfxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGrw/SCBgU3kt0EXILAgYcFX0ajJ2enUQSfCWU9GXAV89OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPbs+SSJgUHhv0YXILQgYcFRsaTB6Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjF5MG3xghWz742vj1QRoBg8J7iS5CbkHAgKOiT4Ox07OTSIKvhJK+DPjq2UkkwVdCSV8GfPXsJJLgK6GkLwO+enYSSfCVUNKXAV89O4kk+Eoo6cuAr56dRBJ8JZT0ZcBXz04iCb4SSvoy4Ktn1ydJBAwK7y26ELkFAQOOii0NRs/GLyYNvjFCtnzwtfGLSYNvjJAtH3xt/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bvz5II2BQeC/RRcgtCBhwVPRpMHZ6dhJJ8JVQ0pcBXz07iST4Sijpy4Cvnp1EEnwllPRlwFfPTiIJvhJK+jLgq2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ez6JImAQeG9RRcityBgwFGxpcHo2fjFpME3RsiWD742fjFp8I0RsuWDr41fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+PXB2kEDArvJboIuQUBA46KPg3GTs9OIgm+Ekr6MuCrZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+eXZ8kETAovLfoQuQWBAw4KrY0GD0bv5g0+MYI2fLB18YvJg2+MUK2fPC18YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFCtnzwtfGLSYNvjJAtH3xt/PogjYBB4b1EFyG3IGDAUdGnwdjp2UkkwVdCSV8GfPXsJJLgK6GkLwO+enYSSfCVUNKXAV89O4kk+Eoo6cuAr56dRBJ8JZT0ZcBXz04iCb4SSvoy4KtnJ5EEXwklfRnw1bPrkyQCBoX3Fl2I3IKAAUfFlgajZ+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+MWnwjRGy5YOvjV9MGnxjhGz54GvjF5MG3xghWz742vjFpME3RsiWD742fjFp8I0RsuWDr41fH6QRMCi8l+gi5BYEDDgq+jQYOz07iST4Sijpy4Cvnp1EEnwllPRlwFfPTiIJvhJK+jLgq2cnkQRfCSV9GfDVs5NIgq+Ekr4M+OrZSSTBV0JJXwZ89ewkkuAroaQvA756dn2SRMCg8N6iC5FbEDDgqNjSYPRs/GLS4BsjZMsHXxu/mDT4xgjZ8sHXxi8mDb4xQrZ88LXxi0mDb4yQLR98bfxi0uAbI2TLB18bv5g0+MYI2fLB18YvJg2+MUK2fPC18euDNAIGhfcSXYTcgoABR0WfBmOnZyeRBF8JJX0Z8NWzk0iCr4SSvgz46tlJJMFXQklfBnz17CSS4CuhpC8Dvnp2EknwlVDSlwFfPTuJJPhKKOnLgK+enUQSfCWU9GXAV8+uT5IIGBTeW3QhcgsCBhwVWxqMno1fTBp8Y4Rs+eBr4xeTBt8YIVs++Nr4xaTBN0bIlg++Nn4xafCNEbLlg6+NX0wafGOEbPnga+MXkwbfGCFbPvja+MWkwTdGyJYPvjZ+fZBGwKDwXqKLkFsQMOCo6NNg7PTsJJLgK6GkLwO+enYSSfCVUNKXAV89O4kk+Eoo6cuAr56dRBJ8JZT0ZcBXz04iCb4SSvoy4KtnJ5EEXwklfRnw1bOTSIKvhJK+DPjq2fVJEgGDwnuLLkRuQcCAo2JLg9Gz8YtJg2+MkC0ffG38YtLgGyNkywdfG7+YNPjGCNnywdfGLyYNvjFC8vx999ztdm+92u279263954di+t99+5wy55wxGIly56w1i1fs7S9csNZbr8T18srR0mWAPSXxZItEXyzoWQrAl8WS7ZE8M2Gkq0IfFks2RLBNxvKYitCwKDYrllqGF2E3IKAAUdFnwZjp2cnkQRfCSV9GfDVswslMZkSEul+H/rbLWPwBd9uCeSvfdQOX/vJK91zjn3SwsQ2JrW1pB/50s1uzy03u93brlrkmFIPBRIoaIDgQQq1YVnY3yEL69aoXUCwy0pTJg/9lXFKKTWqx7i/pZBLLwv9TWeWIgG+KbT6WxYBg8L7ji5EbkHAgKNiS4PRs/Ej6VEnKHTm77rrLrfumc/Gk2sGzOBrgNciismUFjhTyoL97RY0+IJvtwTstXs7vOvSLcmVYVKbR0Y+w65LtiwECq7mCySkesarX7/JLVuzNkESRWF/9Trg7QKCXXqGKZJt4wyqB28gpdAcloUeD1lMewv2t1vi4Nst3xJqR8CghF5oaQNdhNyCgAFHRZYGZ0jGSVoKTpCUlK6c54tJFB2/NilMprTRmV4enM1uWYNvPr7wH/Kx9DXRPe7hrVdlmdSmOledfiaehl/gsOviLU7jN/h+aVr7wMEBmy9sKoL0EQKwvyMwEjbhnyXAMhb14wwEZYwgGXHoMQNlikmwv93CBt9u+ZZSOwIGpfREQzvoQuQWBAw4Ks1pcIaa2Whz4ARpycnkMIki46QthckULblu5OB02rm2TWbjDS89X/gPenYxyQc3vzVboGD0WPM+qb3z9We7PbfePIpkbJuCKvSk8IqT1rvlC58cWn7EkW7vju2LZfYufPrJ25K2OlacsN4duPkCvG0wRpbfwf2N59KUCv+siUzedIzj8vIMa4Meh0Smt+/vYfRbPfjsU7fccX/rlm8JtSNgUEIvtLQBAYMWOIIsOEMCSIoicIIU0BJEMImSAEtRFJMpCmgdisDZ1MP1k9maJ4n9pCq+Tc7zh//Ac8mRSnpLfkTbhLSf1H7+//1z98VvfntxYpr6hBbppDbp+EEXXzE3k9rElfwH+r2HcKEJ/lUbzlz4O2ssq83+Em+qk34kmesr4ktvGuCHkceQju208R0riJ1FAvDPpqMIGMd1y1mqx5b7G4K2430If3icxzT2cH+bBuXZHwMBg9n3QWsL6ELkFrxhwFEZT4MzNM4j157UCfJPrtG3bmnQuW7dOvfdG6/Hk2stHZEyiWLhO2+TKB65ZjLFy3JOESZTPB37muNrr7XeGkiX8RmX7voX/kN3bEl3H9h4NnuAria16bv74UQ524AeJzZxpft97Pwl9nf3wmej6PcQwmAEggZxpZHwjddSdwn4Z9Pr39RxHN5AkveNRo/b7APGGXH2xBz+cJxTVyXa9LerY6Le6RJAwGC6vJOPRhchtyBgwFEZpsEZGrLItaVxgvyxuZsJnCBPZ2lNfFMnUXwNWr6xSQRffw3rJr6YTJl973L6O/tWldsCvIHUbd/Af+iOb5MdpkDB6o2b2CfVU+wDTWpzT8NL7Hx3Zz2dmu/f8NsTk/nE9aBLrmhtQApf8tu4H1EmvvP0Jkcr0CAzhW8gOje7TXZBct1K+CLYtaRKxBlvIHV3WWn0WKK/vsXQY09iuIY/PGQxi60U/Z1F+3DMPAQQMMjDsbNa6ELkFgQMOCpu8dXpVGfI18QZPUxqL9HROEGeq19zfH3evDtBTXzbJlE8O7+O8Z3XSRTPRzuZ4uXb+PoymEzxJNLXEr7ptdYlQXZC+hkXvIGU3vfEF/5DOjepRNt9DpPaUop8OS7IRZ90kv4wcYr9pfsc+RPhZ9AkwQm+9fWnpvCtn8bkGcI/m2SSO6XJ/iIok4+0Vo9T7APGGUv9leIPWz77hGB4/PpI0d94bShRIgEEDErslZE20UXILQgYTFKBMzTJJFeK1gnyx5fcTObVCWrS25TBN/h6TePXmEzhuZSSKtHfUto6q3Y02QlqD9kK7tvkvq0cX7K3VCcXSCQ5ySSCr7+GdRNfCQeOb8hk3oPixIPzIw44/4Lop4IkfEPetE/MH3zneWNZNQ7+uScsuwoWjMLkPtuVctzRumre1upvzUxGzw3+2SiN7rY5+ysZZ6To77yO46jXtHqcwtdrB3Ge56Btk79GfEJ/WMIX/rDXrPS1hG96rZAojQACBqX1SNAeuhC5BQGDSSpaZ8jXJDF68+gMaZ0gz9WvpXznzQni9FYyieK5+rWEL5Wdl0kUz8U6meLrkfL15TGZ4knI1ql8ZbXWUappcEQDo6bPuIRn3saXbAIXOJBMlofH6es+Z4clkyn+fNv4+jLz6D/4c+f8iMcs/Bix9MdyJXz9sUbX3P2upklt0qn7zzh19JQXJ0xib2yMCSzsaPhy+lxjQCZkpdnX8NUcp28y8M+m02Oc/U2xgyn6S3Zh3sZxVj1O4TuqMfM4ztD4wyl84Q+PaphsO4WvrEaUKo0AAgal9UjQHroIuQUBg3EqcIbGeeTaszpBvh2pN5N5cYI4vU2ZRNHyrX0SxXPBZIonUfY61T6UfTZ5W9c2OJJOCkr4cpN/dCbzMAHI2WFMpuTTY06Hu+LLtZrzJzT3Wa7uWaeFPhpdr4dsvS6pWRL70FQh2Y2dCz9gPfpDyCl921RvTekWvjVxCM8F/llIpJv90EbQUVKuUa3+cnY35bjd0Mhfq1WPtXzpTDi/rWafjfMliEPbwx0avhxXOk7NbOn8NIuGr+Y4kJktAQQMZss/enS6ELkFAYMhFasz5GtKNXq1O0NWJ8hz9esUvtzNurYbNef4WJzpFL7UJ5z+1jKJ4nUutA2ayRRfVypfkiM9xmSKJ9i+1vBtr7GOXO7Jd7yBlK9vQxtBNWvscKr+cvZXc9x8JLqrKQzItA3um1qRyne0HrLDP998nttz682DZE0bBsKFbHA+msY20OlY+IYPINB9ln47Qfr2SCE4O22GhW+nDZth5aHthX+WvzM4G6GxfRr9pWOHP5Be2ziOeiyHHmv4em0hzvMyztD6w1q+4b2NmNeow16XtGstX+3xIDd9AggYTJ950hHpIuQWBAyWqMAZ4rQjT1oOJ8i3RHMzqd0JyjGJYuVb4ySKZ8LZBkymeDplrTX2oawz6KY1oY2go2iCeql8uUFSjZPZnI3AZEpeXeZ0KVWHU/WXOwMuQJ/aDq7eWabl8tFy8A1tVY32QtvXOfhqj12qHGd74Z/l760cNsKiv7WP43LosYWv15jwPltj0Da8x9C5S+7hVr4hWzou7m9EYWmx8vX1YF02AQQMyu6fxad+uCYiYLBEJYcz5PlqjF6tzlAOJ8hz9WsN3/BGXYsTFJ4XMZI4Pp4lt9bwrXESxbPJaRuoTg1f35bQ0YWz6ckM1xa+w1rq2eKuTYvepPLlnoC32qjSeienjUjlSyxq9R9G+zlkrNVhDd/RdtB2rraE9c5qP3zaUjvhSu238g19GvLVUj+NNCuO0ziule802jjNY4TXolVfLHxr9c9yjuMsfDnbUMsbSLn02MLXX7e16jGdn9UftvKdB3/Y65FmbeWrOSZkpksAAYPp8k4+Gl2E3IKAwdJgO/yxN+2AyWLsanSGcjlBXnctfGt0gkK+2kmUHHxzt8W3adZrTKbMugfkx7fYB/lR+lUytHuaJ9/9GWv40mQD3kDyBNvXGr6+xhr9B39utP7JSb82uusO+cwX3LI1a8fSYjsWvqN1hxNo1knK0bqnvR2eCx3/0Fu+q2pGDr5ce2oLMKrgLgjl4Ks9dqly8M+675nQt9fauxz6G/oz1jFP9/RkR8ihxzn4Ums5X6KWoG2oPyn+cA6+tfvDMm3nS+Xgy9eM1JIIIGBQUm8wbaELkVsQMJh8WkzrDHm+FqMX3sz67gzlcII8V7/W8q3RCcoxieK5+rWWbzjQt15Hvj2zXIfnRG3RTqb489DyJXmuPZhM8WSX1ha+4zX1fy+0eXRGVn3R8OWe6rK2o5TeyTWZ4s9Hw9fL1uY/+PPi9Edrhy18fXtoHbLuqz6HTzxafc4cfEO21jaN9lvft3Pw7TsD337OH9LaBV+nhS/Xnr7aBc+D1jnHcRa+1JbQp8E4g6gMFytfqqlWPQ51h8419frMwZfzZ1LbQW2vccnBt0YuNZ0TAgaF9yZdhNyCgAGcIU4vcqRxTgec+Rxkl+rgnI5Z8qVWhQP9vjtBmEzJp6/TqAnO5jjlcDLbOvFm4Zu7LeNnOrs9TKZ0zz7UndXnbHKrN25KPrBFf8ODhZMP1msrrH9a+yFb7du11N5cfGthm7sPc/HN3a5Z1Qf/rHvyOcdxOfSXaw/GGUt6kIOv16hwLNfX+5s/H1qH97rUc8rJ19qW0fOqZTsn31qY1HgeCBgU3qt0IXLLvAcMOOdjlpOuXHv66gzldua9/lpuKjU5QaHDoZ1E8Vz92sK3toF+yNgymZKDL9VRG2PPJdfaor+52lBKPXgDqdue4O7X8B/yM89ph3PZh1rscOgTWf3NHHzDhyFSPhuRX/vKqjEH37LOSN+anHbBt8LKtxa74HnkHsdZ+VK7QpuVOvHrz62UdU49zsGXuNSmx3ROOfzhXHxD37GGN2WIsXXJxdfaDsh3RwABg+7YZqmZLkJumfeAAZwhTivypOV0gnyLrDeTmpwg8PVa0d06HJhgMqU71jlqttqHHG0opY5w0o3aNcvJbDp+7uuJ6pzlAv9hOvTDtzg0v19ALc1pH8Lrq6+T2rnY5uSLyRT+usqpv/wR+pWa+36Sg28tdsFrQs5xRg6+1K6axnF0Prn0OBdfalNtehyeD51jqj+cky8dP1e/U101LLn51sCkxnOY64DBnj173N69e93KlSsXByQldjBdiNwy7wGDnM6Q52s1erU4Q13dDC18Q6ehr4N80rWcA32vu7QG3yGNLhhb+FLLMJky7B9uy8qXq7OPaeG9DW8g5e/FkDHeQMrPmGrMaYdz2Yda7HD41GXqJErY4zn41sI2ZJNjPwffHO0ooY6cdsGfj5Vvbbqbexxn5Uv9VNM4js4npx7n4Ettqk2PQ19N6w/n4kuMa5nroXPJteTkm6tNqCcvgbkKGFBw4PLLL3c33nij+8pXvuLuuOMOt2zZMvfwww+7ww8/3J188snu93//993LXvYyt2LFiryklbXRRcgt8x4wgDPEaUWetJxOkG+R9WZSkxMEvl4rultjMqU7tl3UbLUPXbRpVnWGAyRMZufvCfgP+ZlyNeayw7ntQ652cec8rbSc55CTb852TYtl18fJybfrtk6j/tw6koNvTWMM6sOc44wcfKlNtTHOpce5+NbIOIc/nJMvMUbAgCgMl9x8hzVjqyQCvQsYfP/733c7d+50T3ziE91BBx0kZvk///M/7lWvepX7z//8z6jMs571LHfllVe6Y445Jlq26wJ0IXLLvAcMcjpDnq/V6NXiDOVygjxXv7bwrYUtsSiRb5ft8v0/zXUXjC3668+9i3b5uvu+zsG37wyo/V3c26heC188GUgE2xcLX6q5pnucJ5VTl618fZtoXYMdzsmWmOTgW6MOE5scSw6+OdpRQh1dXH85+HbRrlnxzn0uOfjWZh9yMs7B1+taznb5Ome1znWfy8m3Nn84R9/m5JujPagjP4FeBQze9a53ufPPP39AYdu2be6FL3zhYL9p49prr3VnnXWWu//++5uKTKQffPDB7uKLL15822Aic4oJdBE2LRQ08BfpvK3DG+LjvvQ9N2see3dsd/efceqgu+jHcB677Yszb1cqlx+f+KTBOdAGvepegn6V2q5Uvj89/blu3707Bozpu87Ljzhy5npSC1/qj9uedow7cuXwLbFn3H6Xu2v3IzPV41rsQ6q+o3zafbpE+3D0qv3cl48/emCztj+8xz39q3fO9Hqy6BX8h0dN5X6z9f+sdc9+zKMHenPGt+9x1+98aKZ68/AtN7kHNp49aBN93vDgS6+cCo+cftTPznml23PrzYPzoN/pWXnSM2d6HqcctL/7zLFrBm264YFfuA3funum/W2xEzn7C+0Y3gfhn3Vvf0v150ttl+b6hB53r8fwh4d2s/T70eDGj40qCfQqYHDOOee4yy67bNAR73vf+9x555032Oc2HnnkEfeUpzzFfec73+Gyo2mf+cxn3IYNG6LluipABoJbNDe30o1NSvtKdTpKbVeKvsAJ6tYJwiRKt3zJjmAypT9OZordT7Fjfa23xMls4l5quzT9XOp9utR2aa872OHu7PA/rDvcvfxxjxkMD95854/clf/fzplOzj/0kQ+6XZduGbRp1elnugPf+TczDWJo7INW3yEn03fYBRkniz5hHIdxBhnivgdtS/U7S23XrO93g5s/NqojUH3A4B/+4R/cm970Jrbj9ttvP3fUUUe5++67zz344INsmeOOO87dfvvtM/tNA7r4uYUciXlecr2m5hl6I+v3NetaXrfM/X1nYmnlW9MrgOCrubrSZHJ893L0iFb9pbp2XbxlYjLlgM0Xjh5mbrdz8K0FXu57G3HJwTccIFl/ZHWW/ZWbcQ6+tfgPo/0a2mGaQNbYvBx8fbvCNml/RNHXN6t1zu8o5+JbC9vcfZqLb+52zaq+UE+sv9OTg29t/lnOcUYOvqRrNY3j6Hxy6XEuvtSm2vQ4h6+Wky8xpqUmf3jpjPT/u+Crbw0kuyJQdcDgoYceWvytgx/+8Idj/H7zN39z8XNDz3jGMxwFDfbt2+e+973vuauuusq94x3vcPRWwuhCQYc3vvGNo0lT26YLkVvmPWCQ0xnyfK1GrxZnKJcT5Ln6tYVvTU5QyFc7ieK5+rWFb9imvk6ieBY5J1N8nRa+VEdtjD2XXGsr31ztmHU9Xdzb6JwsfGu5t/m+7YKxhS+1qzbGdE6hHabPNB6y9TrKSl6sfP0BwwkI62Slr3fa69wBphx8w0kU+tzisjVrp42myOPl4FvkiSkaFdqFHD6wlW9t/ll4PlY7Z+VLalLTOI7OJ6ce5+BLbQr7ve9juVy+Wi6+xLhGX43Oy7Lk5GtpB2S7I1B1wOCmm25y9APGo8tLXvIS97GPfcw9+tHD76qO5v/3f//34u8d3H333YPkX/mVX3Hbt293K1euHKRNa4MuQm6Z94BBeFOEM8RpiS4tpxPkW2C9mYT93WcnKORrmUTJxbeWSRTPA5MpnkQ/1lb70I+zlLUy1wBp9GhWvrUNkML7CfyHUW3Jtx3aYaqZvrW/34nrkw5i1V9/MK49fX5TJpetyMG3C7/G91vf1zn49p3BaPvD69DqA+fgW1uwK7weLUGZHHyp/8P7bp/HcXQ+ufQ4F19qU216nOMel5MvMa7NH6Zzsiy5+VraAtnuCFQdMLjiiivcq171qgE9mvD/wQ9+4NasGf4o1yBzZONTn/qUe+lLXzqS4tzXvva1xd9CGEucwg5diNwy7wGDnM6Q52s1erU4Q7mcIM/Vry18a3KCQr7ERzOJ4rn6tZYv154+T6J4HjkcTV8XrbV8STa0V9YBMtVZ22LhWxOL8D5iGeiPcrHwDdvU94F+eD3mYGzhS/1UG2Ove6Ed1rK28qX25GqLP7dZr0M9ttxXrHxDtn23Ebn71so3d3tmXV+oL1Yf2MI353U0a67++KFfb7ENVKeFr29TTeM4f0659DgH3xr1OPSLZuk/+D4P24R7XR774PliXSaBqgMG73rXu9z5558/IP/a177WffSjHx3sN23QZPwJJ5zgvvKVrwyKXH311e5FL3rRYH9aG3QT4ZZ5DxjAGeK0Il9aLifIt8jiDNXoBIV8tU5QDr652+LbNOt1Tr2x6C9xCBnDwRzXDivf8dr6vZdTbz0JK1+8geRJ8msrX6q1xskUOq9QnyktdXIwB9/wqUBNO0impCX0g6ltmrdlrHxz9HFJXHO3xco3d3tKqC/UGcuEtpVvrf5ZeF6pdtfriZUv1ZOzv327SljnOK8cfIlF2N81jDNK4uv1rTZ/2J+Xdp1Lf7XHh9x0CFQdMHjNa16z+Pkhj/Jf/uVfHH2SSLL89V//tfuLv/iLQdH3ve997rzzzhvsT2uDLkRumfeAATEJb45aZ8jztRi9HDc1344S1l2cj5Zv2M81OkHU57PQ3xonUfz1k2syxden1d/wWsrR175NNa21fGtiQOfC6a3VNlC9Wr5ce/AGEhEdX7R8qZbQRlgmz8ZbVcZeeA9fccJ6d9AlVyQ1zsKXDpSjDUkNnlLh8GlHre5Y+IYTKNYHIKaEbqqHsfCdakOndDDuvqIJdvnmavmGtpfqy3G/9e2a5To8N61toHPQ8vXnH9rfGsZxdG659NjKN+xralsNeszx1ZyXlS/xpIVrTw3+8NLZ6f/n4qtvASS7JlB1wOB5z3ueu/baawcMb7jhBnfyyScP9ts2/umf/sm94hWvGBR53ete5y677LLB/rQ26CLkFgQM8g6yrcauNmeIuynCmeeuRH1aqDOaSRR/dK3+5myDb0tJa0ymlNQbzW3R6m9zjf3OCa9L6wSchW/utpTSM+EAG5Mp3fUMF5hOmTCy6C+dVajDlKaZdCC50hbOV0v1JSx8Obb4seNxLbHwHa+prj34Z932J2cbNOM4q/6G91o661rsL52LVY+tfKkNNQdtw3tMqj+cgy8xpsXalqVa6vqfk29dZOo6m7kKGNx5553u6KOPFvXg9ddf757znOcMyr7gBS9w11xzzWB/Wht0IXILAgZ8pFfjDHm+WqNXqzNkdYI8V7/W8K3ZCbJOoniufp3KN3R8qJ6anHg6H27AlDqZQvXQksqXZDjGmEwhMpOLhu9kLXWkdHFP0fDlbFQtNoKzDfAfurt+Qn+CjjSNoAGnw6kTDt1RyVPzrou3uF2XbhmrLIUtCWrsg7VPxxpc+Y6Gb+VI4J9NoYPDa1QbGLfob83jOOpCzpdIHWdY+NY+zsjhD1v4+suU8yVq8Yf9OWrXOfhqjw256RCoOmDwu7/7u+5zn/vcgORPf/pTd8ghhwz22zY++9nPOgoS+OXFL36xox9DnvZCFyG3IGCwRAXOEKcdedJyOEG+JZqbSe1OELEJ9ZfSUgf6JJPKl3N8aptEIS60YDJliUPJ/1P1t+RzydW20P6lDkBH26Hlm7MNo+0pZTu0v5hM6a5nyJ/YufFst+/eHYODEO9Vp5/lVm/cNEjjNrT6y93ntH3MtauUNGK765Itbve2q8eaJPUlNHzDa4cObLFRYw2vbEfDtzIEjacD/6wRTZaMHOM4i/6GPgSdVI0PzVj02MKXs8NSu59FwaZUSahHKfcaC9/R07O0YbSe2rZz8a2NS23nU3XAgCb5r7rqqkGfbd++3a1du3aw37ZBP45MnyHyy8aNG91HPvIRvzu1NV2I3IKAwRKVHM6Q56sxeuENhOqqyRmyOEGeq1+n8J0XJ8gyieK5+rWU77xMongu1skUX4+UL5Xn9DfFwfXHnKd1Ct954MJdp5aBYCpf7t5W29NU8B+meyVxvKkFkmB1Dv2lY9Wmw3ROtHC+BKVL7zspfDnbUGMghvjlWlL45jpmH+qBf9Z9L+UYx2n0l/ODLT5M96T0R7DqcS6+UnuvP9PZSFr9YQ3f0TPl7nm1+hKj5y3dtvKVHgflZkeg1wEDwrZ8+fJGenv37h3L+9rXvuae8pSnjKU17bz1rW91f/M3fzPIPv/8893mzZsH+9PaoIuQWxAwGFKBMzRkkXvL6gT59qTcTDgns1YniPgQ4/vPONWjGqwlkyi+sJQv5/RQHbU7PsQ4fLqVzluqV1K+VCfHGJMpRKZ5SeHbXEt9OZwt1Ay4U/lyg7MUe9SnnoD/MN3e4nSLWkA28oDNF7r9Tlw/0aAU/aX66boZfZPBVzgP9znOlyC2q1+/ya3acJZHMbaW8qVPQ9CbDPPIdgxY4o6Ub2K11RSHf9ZtV1rHcRr95XwXqb/dLY3uatfqsYbvPI4zOJ2S+MMavqNawvkstfrDo+ct3bbylR4H5WZLoPcBgxR81113nXvuc58rEjnuuOPct771rUHZrVu3utNPP32wP60NuhC5BQGDIRWrM+RrSjF63I2rVmdI6wR5rn4t4TuPThDx4RwSSm+bRKH80aWN7zxPonhGpMeayRQv38aXymAyxZPSrWN8dbX2W4qzvWQTJJ9xCc9cypezRXTMQ7ZeF1ZZxT78h+l3I6djvhXkR9EnisLAQUx/qU4K/uy59WZf1di69mCBP1nOZvi8Nn+ijW/bva2tTn9crNM/GzlvzOCfddvjTXZBOm5tsw9hy+d1HEcctHos5dtmi2u/x3E6LPWHpXxDXeZ8lZr94fD8pftavtL6UW72BHoVMDj33HPdRRddpKa2bds298IXvjAq/+Uvf9mdcMIJg3J0Ifzwhz90j3/84wdp09qgY3MLAgbjVLgbCZWAMzTOSbundYL88WI3k3l2gjwjzjHxeU2TKD6/iS8mUTyhpXWTnaDctomPJr4k16a7bXWSLJYlAm18551Rk+1NecJJypcb6BP/eRyI0nnDfyAK3SxttpiOSLaTggYrF56KP+2009wXv/ltt2zN0idFSXbvwm8h0HrPQqAg/Hb/aIupDw/cfMFAdjSv1m3iwv2mgT9fz3bFAl9i+msnn+Lu2v3IYnYq24MuucJXi3UDAan9bRCfm2TSPe5NUALQ5ku18YV/NlQf4qt5aKaN77D2dl+4dh9ilEOqHkv4Qo+XCDfpcJs/LOE72n9+e179YX/+0rWWr7R+lCuDQK8CBvQDxmeddZZ74IEHkukddthh7rbbbnNr1qyJyr785S93//zP/zwoR28l0NsJs1joQuQWBAwmqTTdSMjRbHsd29cUM3ptN+x5cIZSnSDP1a85vm1M2wYIvs7a1m2M6Vz9QJ8mUWhZvqDbfhLl6FX7ue/eeD0mURbJNP8jximTKZ4x6e/eHduTJqowmdLcD2EOZx/CMvO63xRMTLGRbXyp/nn9jIvXKfgPnsT01jFbbG1J2ySCte7S5Ynt7q1Xu12XbumkqfPMVgO0zf5q6qtVJmYTvA/sg13wz9I0gfgiKJPGTFM6VY8RtJVT1vjDKfYX/rC8L3zJFL5eBut+EehVwIDQ7t692/3sZz9LokyKTAEDWseWRx55xO2///5uz549g6If//jH3ate9arB/jQ3mtqMgAHfC3CGeC65UlOdIDjz6eRjjNNrHJfAQH/ptWFMpozrxSz34GzG6TcNkkgSbyDF+UlKwH+QUMpfhrj/fPN5jZ8TSj3iPL5V0MQotz9B/gM9gOMfVGg6LtKHBHB/G7KQbJHOwj+TkNKVidmEMCiDyWw9Z+ixjl1MKsUfltpfqhOfNYyRn8yX8p2UREqfCPQuYDANuO973/sWf7+ALoKnPvWp7k//9E/dsmXLpnHoiWNQG7gFAQOOylJaqjOESe1mllwOnHmOSv404oxJlPxcR2uM2YrRspJtTKZIKPFl4HTyXEZTSV+bng6kcn6gjzeQRqmlbcdsgmeMJ1zTuEpK+3selW36LYKmeny/YDKbJ0RsaUKEJrDAlmfUZSrub+l0Y7Y4tUb4Z0NixBaT2UMeXW5Bj7uhS1yl/jA+a9hNH/hacX/zJOpdI2BQeN8iYKDrIDhDOm4pUnCCUmjpyxJnChzQgoG+nmObJDHGZEoboW7z4GzK+ea2u+GR8QYS3kAKdWIW+94m028UXPvJK91zjn2S27fwuwW0UHBg2RPWuuVrltYrTlo/8SPJs2hzX445ynbvPTvcD266wR25csVi80O2qzacibcJjB2L+5sNoNdXBLtsHDnp3P4EgjIc5aU06HEzG21Obv0N2wF/OCQyuY/72ySTGlMQMCi8VxEwsHVQ7psJnKHJ/oATNMmkqxTPmiZRaKC/7967B5Mo2x/e49Y989mYRDHCb2OMyRQj3BZxOJ0tcJgs0lO8gcSAyZhEjNt+7yT1UPAfUokNy8M+DFl0sQW+XVAd1gm+QxaWLfhnFnrNsp4rgjLNjHLmeN5+LIegrY0u8YQ/bGNokcb9zUKvH7IIGBTeT3QRcgs+ScRRaU7zN2c4Q82McuR4zt4JGp3QxmRrDsJ8HbhZ81xypYJvLpJ8PeDLc5Gk+oESlcUbSBJi6WX8fQ3+Qzq7HBKwDzkoNtcBvs1scuSAbw6KzXWA7//P3rsAb1JU99+d3YV1uXuJCTeVUsEQYxRI1rxi4iVGU2GNQIxGrHiJsEbjahIVyn8pi5b6QsSKGxUBo5VEyKtRVCDRqK+JCaGyVUCiaFSCJggLldcbgrgu7G7e3/kt/Vz6OTPn9Dk9zzM9z3eqdmem+5ye7k+fOd3TZ+b5NbOx5MTxLj7HYTHbQlGvA/vVs5IkMR+WCJXPh/2WZ9rHEhEw6GOvTNSJbkRuQ8CAo6JLSydDWNTWcfNKYVDxEmzXB992Pt5c8PUSbNcH33Y+mty2sQ1fIGkIyjJtjBEUl/lZJeAfrOR0euCr42SVAl8rOZ0e+Oo4WaXA10pOpwe+Ok45UpNzNfysYQ65fFnYbz6z2jQQMOh5j9FNYVqprAAAQABJREFUyG0IGHBU7GlwdnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZ1aSJgEHPe4tuRG5DwICj4kuD0/Pxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfH78atBEw6Hkv0U3IbQgYcFTsaXB2dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tnVpImAQc97i25EbkPAgKPiS4PT8/GTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fvxq0ETDoeS/RTchtCBhwVOxpcHZ2dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2dWkiYBBz3uLbkRuQ8CAo+JLg9Pz8ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx+/GrQRMOh5L9FNyG0IGHBU7GlwdnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZ1aSJgEHPe4tuRG5DwICj4kuD0/Pxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfH78atBEw6Hkv0U3IbQgYcFTsaXB2dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tnVpImAQc97i25EbkPAgKPiS4PT8/GTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fvxq0ETDoeS/RTchtCBhwVOxpcHZ2dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2dWkiYBBz3uLbkRuQ8CAo+JLg9Pz8ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx+/GrQRMOh5L9FNyG0IGHBU7GlwdnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZ1aSJgEHPe4tuRG5DwICj4kuD0/Pxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfH78atBEw6Hkv0U3IbQgYcFTsaXB2dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tnVpImAQc97i25EbkPAgKPiS4PT8/GTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fvxq0ETDoeS/RTchtCBhwVOxpcHZ2dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2dWkiYBBz3uLbkRuQ8CAo+JLg9Pz8ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx+/GrQRMOh5L9FNyG0IGHBU7GlwdnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZ1aSJgEHPe4tuRG5DwICj4kuD0/Pxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfH78atBEw6Hkv0U3IbQgYcFTsaXB2dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tnVpImAQc97i25EbkPAgKPiS4PT8/GTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fP0kbfCVCvnzw9fGTtMFXIuTLB18fvxq0ETDoeS/RTchtCBhwVOxpcHZ2dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2dWkiYBBz3uLbkRuQ8CAo+JLg9Pz8ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx8/SRt8JUK+fPD18ZO0wVci5MsHXx+/GrQRMOh5L9FNyG0IGHBU7GlwdnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZ1aSJgEHPe4tuRG5DwICj4kuD0/Pxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfHz9JG3wlQr588PXxk7TBVyLkywdfH78atBEw6Hkv0U3IbQgYcFTsaXB2dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSVeZu/tt4VdV10R9t5xW9hz+47V/d47doQ1hx+5qrDm8KPChz77ufCiF70o7L/p9LDfiRv5gpBqJgD7NaNTKYKvCpNZCHzN6FSK4KvCZBYCXzM6lSL4qjCZhcDXjE6lCL4qTNULIWDQ8y6kG5HbEDDgqPjS4PR8/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUIjfPvu3572H3d9rDr6o+tBAh2jDMURxRIoKABggcKWBkisN8MWAZR8DVAy1AB3wxYDaJtwdtbbrklHPPEJ4W1R+wL5ML/NkA0JsN+jeCUauCrBGUUA18jOKUa+CpBVSyGgEHPO49uQm5DwICjkpc2Ofn8/F9fHp587CNXFwcm3xzE5DOPaZM0BpMmMvnpk3bb9MYr7Dafa5sG7LeNTl4e7DePVwlp2K+OItnmzku2rQQKrtAptEjFwMGGs7aENUcc1SKJLIkA7Fci5MsHXx8/SRt8JULN+TF4u/PSbc1CDTnRByN40ABImQz7VYJSiGH+q4BUWAT26wfaZrcI1vr51lACAgY97yVydNyGgAFHRU7D5FNm1JUEBm072Wi3eOPVztCrCfu1E4z2i4d+O0OvJuy3neDOi7cFi322lxpWf7qIvjg4cOsFkijyWwjAflvgKLPw0K8E1YEY7DcPKs0Z7r3qY0WCt3Tl9aechq++8rpgShr2O4Uj6wTz3yxcnQjDfvOxRrvFukM+uyFqIGDQ814lJ8dtCBhwVJrTMPlsZjOPHAzWNsp449XGrbQW7NdGFH7Xxq20Fuy3nehdZ50Rdt+wvVGIFpvobxWsO2ljWLvyk0P0xQD5Ztr2rPxk0Yue+YzwvtM2tZax7oSN4aCt5+Nrg0bKzRmw32Y2Ug4e+iVC3efDfvMY37P19cUCBZNXjl8cIHg7SUU+hv3KjDgJzH85KvNPg/3mMce6Qx6vZZFGwKDnPU2OjtsQMOCo8GmYfPJc5p2KQTuPON54zePVtTTsN48w/G4er66lYb+zhOmBnuyU+zsFtMC/ftNpK/9On1VkUojvnh23BiqT/kgyF4CgBStarMIfRmYACkmwXwFQko2H/gTIgk9hv3IHkO+keS/nO6N2U/D2mGOOCTdfe81qILfJ/8YyyA8fcvFlCN5GIIo97FcBaUIE898JGD04hP3qOgHrDjpOyyiFgEHPe52cHLchYMBRmU7LmXw+43XnhH/62k0zbw7SQxcmn9NcLWcYrPOo5b7xuvbIo1cXq+gq9Marxm7xxqu+T2C/elY5fje+sW2xXzz06/sE9jvLiuz07s1nzGSQXdHfHdAGCqgAju+ulZ/ToL+HkAYjEDSYQS4mcHxFpSUWwEN/vzof9iv3R5M/Jk0peMvxpTkwldn0/Gbx83IrhinB8R1mS/2twvzXz7B0CbBfHdHcdYf4pW1OsBbrDrq+6KMUAgZ97JWJOpGj4zYEDDgq4zTL5LNtUMHkc8zWetTG11rm0PTIbq1vvHJ8NXaLN151VsTx1Wkuj5TF70Y6HF+N/eYu7sbrLdue47tsDCbbe+emX5lZzKeHmUMuuWxSTH3M8SX75f6IMoJdaqwjQY7vKBMHIwJ46B+h6NUB7Le5O5rmDeSPN2zeovoiq40vBW+5wAGCBs19kua08U1ll/W8yY6JB4Jei7UK2G8zf8+6Qyx1kq/muQ3rDpFcPXsEDHreV3QTchsCBhyVfWlNg3bb5HPS2TWXvC8Hk0+J0Gx+Dt9Z7eVIabJbzUONhi/eeLXbkYavvfRhaDbZb5vfjS3X8IXfjbTy9xq++aXWq8EtqtJPXVh/27qNLz080WJV+geV6b6wBifqJW+reRtfW4nD0/I89HN88dBfzkY4vuVKr7uktnmD1j9q+CJ4a7cTDV976cPQbLNjKeil4Yv5r91ONHztpdet2WS3mnWH2PI2vlh3iJTq3yNg0PM+pBuR2xAw4KiE1U9QuZ8Z0Dyctzm99GqYfKZE5PMcvnJpw5PwvvGq4Qu7tduNhq+99Lo1myadGr8bW67hC/uNtPL3Gr75pdanwf22sCdYEAlIfLmfiSlx3Xj9oe8lvkNvf1v7mvwvHvrbqM03D/bL8+bmvQeee37WT8JRyVq+tIB1z3lnT1WG7hP8TYMpJDMnWr4zikuQ0OR/Mf/tT+fDfvm+4Pxvjt3GUtv44rktUqp7j4BBz/uPbkJuQ8CAoxIC5/w0k882Z8dfaV8qJp9tdMZ5Vr7jEoZ95H3jNYcvDd544zXPnnL45pU8DGmr342tz+ULvxvJ6fa5fHWl1idFvu/OZz9lquKWh6OpAlZONHy5hyYsVKUk+XMNX15zOVI5/5tj1xq+nP0SXdiwbGMavnIpw5Pg5r0Hr/wx4tw/Cp/Ll5s/IHjbbF+5fJtLGmYO53816w6RRi5fzn7hhyPN2X0u39kShpnC+V+LH9TwxbpD/TaEgEHP+5BuRG5DwGCWCuf8ciafGqc3e9Wwsvg6+8aKxelyZQ8pzcp3SAy4tpR64zWXL9545XqjOS2Xb3NJw8rx+t1II5cv/G4kp9vn8tWVWpdU6mvpIfuwq75QpBEavvTQdNfKH1qe/EPImCvo8Gv46koalhTnfy02peGLh3677Wj42kuvT5N7K9tit7HluXy5+W/O82K87rLsc/kuCxfO/1rsKJcv5r95FpbLN6/0+qTTuTC1YB7+l/O7nuvWR77eGiNg0PO+IyfHbQgYTFPxTj69gwnnBC2ThulWDefMy3c4JKZbQg/gJd54tfCla6d/kBNvqUz3Tzyz8I26Q957/W5kY+ULvxsJtu+tfNtLrSuX87U5bwG2tTaHb/qgTz4XfwCuja7uC472EoaZW+qhP8d+iSTnd/HQ32xjuXybSxpOTrrQmvNFTErBwpfGgx9uPTvsvmH7qDhPHUaFDPDAwneAGGaahPnvDJJeJsB+p7uFmwt7fF8OX6w7TPdFTWcIGPS8t+hG5DYEDKaplJh85ji96auHgMlnSmT23MN3trRhpKQP/J43Xi18yW7xxqvOlix8dSXXK1XC78bWW/jC70Z68t7CVy61HomSvpZrdQ7f9L7BYitHdDoth++05jDPyPeVeNkg0snhS9fGywaRnG6fw1dXYr1SadCUWuJ9wcrCl1vw9daj3l5pr7mFb3uJ9eem4/i8Fl0jOcx/Iwl5D/sdM+piLpzDl+wW6w7j/qjlCAGDnvcU3YTchoDBmEqJyWeOsxtfefoIk89pHpNnJfhOljeEY+6B3/rGq4dvev/gjddZ6/LwnS1tGCmp3VCrrA/bHr7wu7I9efjKpdchkf7OsNXXcq3N5ZveO55AMVefoaXl8h1a+7n2lHzot/DFQz/XK3yahS9f0jBSU9v1Bkw9fEvXZRg9NN0KD9/pkoZzlo7h1DLMf/vZv7Dfcb+UXHeIpVr4pvcP1h0izf7uETDob9+s1oxuRG5DwGBMpdSEz+L0xrXYd1SqLmm5QzgvwXcIHGIbUlvxLhp5+KZvyngf4GIbh7T38B0Sh9iW1H69NuPhW7ousY1D2nv41s6Be0h60HU3F21WDl+uPtbFhqKN6HFhOXx73IwiVePsxxsAs/DFQ7++Oy189aXXJfm9kx41VeHDrvzHsOaIo6bSck+sfNN7yTsPz613LfJWvrW0L7eepeecHr6l65LLogZ5D98a2qetY2orpfydhS/WHbS91g+5pQ4YfPe73w2f/OQnw86dO8Ohhx4azjjjjEBG36etqT4IGIx7qcTk0+LsxjUYH2HyOWYxeVSK72SZtR+XfOPVy5d78C/1x0Br7yeqv5fvEBikbSjhd2OZXr7wu5Ekv/fy5UutJzX9zXVvcCttuYUvHpZSis3nFr7NpdWfU/qh38MXdizbk4evXHpdEtwXgd7grZdvasMI3k7blJfvdGnDOMP8t55+hP2O+6rkukMs1coX6w6RYB37pQ4YvPa1rw0XXnjhqKc+85nPhGc84xmj8z4c0I3IbQgY7KNScvJpdXpp/2DymRLZd16KL196XanpAifVfpEPTVx98NA0bVOw3zGPkn43lurlC78bSfJ7L1++1DpS0wVW79vYXKtz+aYPS6WDGFwda07L5VtzW6W646FfItS/fNjvvj5JffGGM7eEDZu3uDvMwxe+WMbv4SuXXpcE5r919RfVFva7729tpn/3yLvuEC3BwhfrDpFeHfulDhi8+tWvDtu2bRv11BVXXBFOPfXU0XkfDugm5DYEDPZRKTX5tDg7rl8oDZPPWTIl+c6WXl9K6TdeS/BNF1yxgDW2qxJ8x6XVf1TK70YSJfjC70aas/sSfGdLrScl9W2lg6EWvumig+cPJtbTE7aaWvjartR/Le4h2/vQ7+HL1af0/dX/XmmvoYdve8n15aZzhxLBWy9fzB3a7cjLt730+nJTG/YGvUrwhQ0321EJvs2l15NTet0httzDN52bY90hUu3fHgEDBAz6Z5UZNUoHbs/k0+P0JquMgXuSxvi4FN9xifUelbTbSMHLF3YbSfJ7L1++1DpTYb/19dsy22/6RnaJ38xOLSCXb7rQWuq3ZNN6DeU8l+9Q2p22Aw/9KZE6zmG/+/qpK1/s4YvgrXwPefjKpdclgflvXf1FtYX9htCF3UZLsPLFukMk2P99VQGD++67L3zlK18pRvWCCy4If/3Xfz0qj36e6GlPe9roPB6sXbs2PPaxj13I3zegm5Db8IXBPiqlJp9WZ8f1DSafs1RK8p0tvb6UNKrufSOvBF/YbbMdleDbXHp9OaX8bmx5Cb6w30hzdl+C72yp9aSkvzfsfSM7bbmFLwIGKcXmcwvf5tLqzuniod/LFw/97Tbl5dteel25pecO1HovX/jidhvy8m0vvb7c0jZcgi/mv812VIJvc+n15JRed4gt9/CF3UaK/d9XFTB4y1veEt70pjcthOqnP/3p8MxnPnPu16YbkdsQMNhHpeTA7XF6k32EyeckjfFxKb7jEus9Kmm3kYKXL+w2kuT3Xr58qXWmwn7r67dltt+uAwZkDRa+86hXfZbK19jCly+p7lQ89NfZf7Dfff3Wlc/z8u2qXnVa62ytvXxnS6w3BfPf+voO9htCF3YbLcHKF+sOkWD/91UFDE4//fRAf2dgEdv73ve+sHnz5rlfmm7Cpo2CBvEmXdZ9Osl78PXfCH3g0td6Laud9K3dfbSPPTtuDZN/EIl+IuOBV/9TL+6nvvXfstenj/ZLfr+v9Vp2e1l0+7/4uEeEo/dfN5pKPeHGW8Itu+5b6PwJ/hbzV8t98f1TfjnsvWPHyJbp57XWHnn0Qsfph6/fL/zbzz18VKdb790dfv5L/73Q+6sPzwGW/h16vftov9RP3z3xkSP7pQP6Cg399xML9St95d/XeWZf69XXfly2enVtH1MOVHmCgIESVA/EqgoYPOMZzwif+9znFoLtoosuCi9/+cvnfm1yaNw29Emltn2YfOKhu8ZBv68PJ32tl9YfQG4+/gB+dz6cYc9lOP/gzBeE3TdsH02l6Cfg9j/piQtdDDn5kAPClcceMarTv9z947Dp67dhkWplzgu7b7b7rh/6LfMpBL+a+8vCc8j2f9VxR4UnHfyAkd979k23h2vu+tFC/d691/1ruHvzGaM60R+gP/TSy+GH8FIia5eY/8Lf1ejX5/F8P3KiGQfpnKb0T4ZmVAWiLQSqChg8/elPD5///OdbmtNd1sc//vHwnOc8p7sLNJRMTonbaEKJLYRSn2dH51+CKX6TbZZiSb6zpdeXUvrTwBJ8EelvtqMSfJtLry+nlN+NLS/BF3430pzdl+A7W2o9KV387vtk6y18u/rjtZP1Gsqxhe9Q2p62o4uH6xJ8u6hX2vZaz0vwrbXtab1Lzx2ofC9fzB3SXpo+9/KdLq3+s9I2XIIvbLjZrkrwbS69npzS6w6x5R6+WHeIFPu/rypgcMopp4S//du/naJKf4yY/q7BIYccMpWuOaGvBj75yU+ORM8666xw6qmnjs7jwbp168JTnvKUQPt5b3QjchsCBvuolBy4PU5vso8wcE/SGB+X4jsusd6jknYbKXj5wm4jSX7v5cuXWmcq7Le+fltm+53HH2XN5ZsGMTacuSVs2LylPsOaU41z+c6pWnO/DB765468yAVhv/swpn5v/SmnhQO3XuBm7OGb1gm+eLY7PHxnS6s7BfPf+voP9lvuBVuu9618se7A0exnWlUBg7PPPjtccMHsxOLwww9fTX/hC1+YRfnVr3512LZt20iH/j4CFzAYCSzggG5CbkPAYB+VdKJnnXxanR3XN2mdMPn0vwHEca45LbWRA889P6zfdLq5SSXsF2+8NuMvwbe59PpyUvu1+t3Y8hJ80zrB70a68L9dv8Vksd/0jWz6Lfo1Rxw17jQcjQhY+I6UB3aAxar6OhT2O+6zNHhLfyvrsKu+MBYwHHn5pkE473zc0IReq3j59rpxhsqlc03Mfw0Q56gC+90HO7XbUn7OwxfrDnO8EZyXqipg8L3vfS+ceeaZjX/4+OSTTw7vfve7w8///M+rsCBgoMLUa6GSk0+P05uEhMnnJI3xcSm+4xLrPUrt1jvhJBJevulkAguu0/bl5TtdWt1nqf3iob///bns9tvFQutkr+fw7eL+mazLEI9z+A6x/bFN6TiNh/5Ipt972O++/kmDt5RKf1NmvxM3ujrQyperD35De7YrrHxnS6o/pYvx28sX6w7tduXl2156Hbmp3ZZYd4gtt/JN5zNYd4hE+7evKmAQ8X32s58NW7ZsCV/72tdi0mi/du3a1T9O/Ja3vCU88IEPHKVzBwgYcFTqSuMme5bJp9XZpbS4+mDy6V/MTjnXfp7aiXfBtYT94o3XZqsqwbe59PpyUvulFlj8bmy5ly9XH/jdSBf+l0ikD0tenzumm883DV7gIWmS5uyx1z/MllhvSmrHJR76vXzx0N9uT16+7aXXl5v6P68Ne/iWrkt9vSHX2MNXLr0+CW6+iflvf/sR9ruvb1K7LTUH9vDFukN/75u0ZlUGDKgR9913X3jXu94V3vzmN4e77747bVd4yEMeEt72treFl73sZatv3s4IrCQgYMBRqS+t1ITP4/QitVJ1ieUNaV+C75B4pLbimXASFw/fdBGi1ERiSP3l4TskDrEtqf3ioT+S6ed+2e03fViiXir1djaVpeWb+lrS9fp+KmPom5bv0DmkdlxqrPbwxUO/bHUevnLpdUl04QMtfNPfzyaK8MW8LVn48iUNIxXz37r6Efa7r79Suy3l7yx803Gg1FymLsusp7bVBgwi4jvuuCO8/vWvDx/60Idi0tT+pJNOWv2Zoo0bZz93RMBgClW1J6nToYbkOkGLs0uBYfKZEhmfl+A7Lm0YR6ndegZLL990EoE3XqdtzMt3urRhnKX2S63K9buRhIcv/G6k2Lz38G0utb6c9E1oj8+dbH0O3/SnA7yBtsl6DPU4h+9QGUy2Kx2vrX43lunhm44Dpe6pWLch7D18h9B+rg2pDa87YWM45JLLOFExzcq3ZB3ESlYsYOVbcZPFqqd+jxSsftjDF/NfsavUL3PIJdUvkdptifHaar+p/8W6Q7/tq/qAQcR7zTXXhD/4gz8IX/ziF2PSaE/G/JKXvCS8/e1vDw996ENH6QgYjFBUf5A6Hsvk0+r0IrwSdYhlDXHv5Ts0JumbgtQ+zxuvVr7pBILqYZ34ku5QNyvfofKgdpX0eVa+Jesw5L6y8h0SE87nWuYKHBMN39RWqRz8sWOO5myahu+s1jBT0jEbD/3972fY73QfcQudngWjXL6cL8a8d7qPJs9y+U7qDvU4tSHPXMLKt2QdhtpP1C4r36Ex4ebAnnWHyCeXbzqHoXLgfyPNfu4HEzAgvHv27Anve9/7whvf+Mbw/e9/f4b4YYcdFs4777zwyle+MtDfOkDAYAZRtQneyWeus0tBpYM25cP5jSl5+Y5LGtZRqTdePXzxxqtsUx6+cun1Snj9bmy5lS/8biTYvrfybS+1ztydF28LOy/dNlV5z0IVFaThm/p60vNel8pYhk3Ddxk4xDaWfui38sVDf+yR9r2Vb3up9eeW8om5fLl5C770aranXL7NJQ0rh7Mjy5hu5Yv5r86erHx1pdcnlfpd7wsHFr5Yd6jPbgYVMIj4v/Od74Q3vOEN4f3vf3/43//935g82v/cz/1c+LM/+7NwxRVXhG3bxg+OdH7qqaeO5PpwQDcit3Ht4uSWKS11gtT2nMHb4vToGtykAZNPIjO9WflOlzKsM+7B3/qWioUvN+HEG6+8jVn48iUNK9XrdyONXL7wu5Gcbp/LV1dqfVLkc3desi3suvqKqcrnzBWmFO8/aePL3SNWP89dexnS2vguQ/vTNqY2hYf+lFC/zmG/s/1BvviuzWeEvXfsGGWSHa8/5fSwYfOWUZrmQMuXmzd47x1N/WqX0fKtvZ259U/9MOlb5hK5fDk7xrpDc+/l8m0uqf6ckusOkUYOX6w7RGp17QcZMIhdcN11163+TNH27dtjUuseAYNWPL3P9Ew+c5zdJAhu0Mbkc5LQvmMr39mShpdS4o1XC99SE93h9chsiyx8Z0sZZorH70YiuXzhdyM53T6Xr67UeqU4m6XWWBfx2/hyD0eYI+TZThvfvJKGI13yod/Cl7NrvGzA25eFL1/S8FI5O6ZW5ix+avlyNkvXwtfgRKF50/JtLmG4OdxcIjfolcsX8988e8rlm1d6ndIl1h1iy3P4Yt0hUqtvP+iAAXUHvYn/wQ9+MJxzzjnh29/+dmsPIWDQiqeKTM/kM8fpEQxMPvNMIpdvXun1SpPNlnjjNYcvN2hbF8vqJZ9X8xy+eSXXL+3xu7H1Wr7wu5FY3l7LN6/UeqWbbJYe9jectSWs33R6VuNSvvRzLeTXJ9+ejQVigSqS0O9TvnrN4Uriob+evoX9NvcVtwBK0uSLD9x6QdjvxI3NyvfntPGl8mnOC18sYmwUaOPbqLQkGU1zCQS9+mMAsN/pvii17hBL1fDFukOkVed+8AGD2C133nlnOPfcc8N73vOe1b91ENMn9wgYTNKo99gy+dQ4u0gEk89IQr/P4asvdTiSNHinn2ZT67SL+Dl8uQVXvPHabks5fNtLGm6uxe9GGhq+8LuRVv5ewze/1Po1mvwutcy6WNUWKMgps3665VoA++VZlnroz+GLh36+L9pSc/i2lTPkvKb5A7WZ5sH0E0VNgYMmvlQmBdV238D/ygACtzqLauKr014OqSb71Yz5Gr6Y/9rtSMPXXnq9mk3zX+26Q2y5hi/WHSKtevdLEzCIXXTjjTeGV73qVeELX/hCTBrtP/7xj4fnPOc5o/M+HNCNyG34GwYclXFa0+BNEk2TT8npYfI55ms5kvhayhySDg3edz77KTNNogmn5o1XiW/bQhYenGawzyRIfGcUljDB4ncjpia+8LuRkG/fxNdXav3aTYuusWXkf2mhat3KvzVHHBXWrpzTnjbS3bPy+9u0//MtrwjPf/DBUW1mn/sQNlPAkifAfnkDINvzvGwQS9XwxUN/pJW/1/DNL3VYGk22HFsZffH+93/9NemLH75+v3Dztdes+uLdK4GC9G/UxDJoT774oK3nj/z4ZB6OeQKwX57LZCrmv5M0+nUM++X7g3yuZ90hltrEF+sOkVD9+6ULGMQu++hHPxouvfTS8I1vfCPs3bs3/PRP/3T4yEc+Eo46at+DYJRb9J5uQm5DwICjMp2WM/l86lOfGv7pazeNJpCkGxcCMPmc5mo5axpMLGUNWafNZtveVGnj2zZgt5U5ZM65bWvjm1vW0OXbbJjazj30rz3y6NWfD4Tf7cY6YL/tXMnudl11Rdh56bZ2QWNuzk8TGC8xaDXYb3v3kv16Hvolvm1zCLxs0N43lCvxlUtYHgmyZe4nOksRgC/OJwn71TMj++UCuLEEzH8jifntYb/trNtsVrNGwPFtmzNoymyvMXIXQWBpAwaLgG25Jt2I3IaAAUdlNg2Tz1kmi0rhBpVF1aXP15VsNk440zdeie+eHbdmBboOueSyPqPoVd1gv/rukGxYXxIviYd+nktbKuy3jc6+vNJ2S3ZKX4fFLxLkGkCiiQDst4nMvnSy3aaFKs0DOscXD/3tzHNyOb45+ssmS/b8w61nN/6cUC4PfFWQS2xaHvY7zaPtrPQ8Ir0W5r8pEfkc9tvOSLLZpnUHKpV0f/kxx4b/97K/CpoXbLHu0N4Xfc1FwKCvPXN/vcjJcRsCBhyV5jRMPpvZzCMHg3UeZbJXvPGax6xLadivjS78ro1baS3Ybx5Rslv6eQHywU2/f91UYnywQqCgiVB+OuxXx4zstu3t7GibeNlAx7OUFOzXTjLOIagE+GI7R48m7NdGL9purt02XQ1BryYy7emw33Y+MZfsFesOkQb2KQEEDFIiPTsnR8dtCBhwVOS0OICTZO4gHh+2sBAgc+YkMGhzVNrTyF7bFgDatWdz8cbrLBNtCuxXS2pWDn53lsm8U2C/NuJkuxQ8oDen9ty+8vcK7rht5d+O1cJoTrDm8JW/a3DEkeEtl/x5eNt1X8TXBDbMohbsV0S0KkD2iod+Hat5SsF+/bTbfPGt9+4OxzzxSau+mHzyupM2Nv6RZH9Nlq8E2K+9zzH/tbMrpQn71ZMke8W6g57XskgiYNDzniYnx20IGHBU8tImJ5+f/+vLw5OPfSS7EIDJZx5XThqDNUdFnxZtFW+86pmVlIT9lqMZbVlagIXfLccc9luOJVcS+HJUyqWBbz5LPPTnM+tKA/bbFdl95YIv+HZLoFzpmP+WY6ktCf5BS2paLtoq1h2muSzrGQIGPe95cnTchoABR8WXhkHFx0/SBl+JkC4/DuKaBdf1m07DG686rKIU7FdE5BIAXxc+URl8RUQuAfB14ROVwVdExArE+QIe+lk8c0uE/XaLGnzBt1sC3ZYO+wXfbgn4So/ziKZ1h3++6Rvhab/zgtUvbrHu4GPdV20EDPraM/fXiwYRbkPAgKNiT8NgbWen0QRfDSW7DPja2Wk0wVdDyS4DvnZ2Gk3w1VCyy4CvnZ1GE3w1lGQZ6aE//rwW7fHQL/PUSsB+taRscuBr46bVAl8tKZsc+Nq4abXAV0vKJge+Nm61aSFg0PMeoxuR2xAw4Kj40uD0fPwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHrwZtBAx63kt0E3IbAgYcFXsanJ2dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752djVpImDQ896iG5HbEDDgqPjS4PR8/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18evBm0EDHreS3QTchsCBhwVexqcnZ2dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2NWkiYNDz3qIbkdsQMOCo+NLg9Hz8JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx68GbQQMet5LdBNyGwIGHBV7GpydnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnY1aSJg0PPeohuR2xAw4Kj40uD0fPwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHrwZtBAx63kt0E3IbAgYcFXsanJ2dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752djVpImDQ896iG5HbEDDgqPjS4PR8/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18evBm0EDHreS3QTchsCBhwVexqcnZ2dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2NWkiYNDz3qIbkdsQMOCo+NLg9Hz8JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx68GbQQMet5LdBNyGwIGHBV7GpydnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnY1aSJg0PPeohuR2xAw4Kj40uD0fPwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHrwZtBAx63kt0E3IbAgYcFXsanJ2dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752djVpImDQ896iG5HbEDDgqPjS4PR8/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18evBm0EDHreS3QTchsCBhwVexqcnZ2dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2NWkiYNDz3qIbkdsQMOCo+NLg9Hz8JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx68GbQQMet5LdBNyGwIGHBV7GpydnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752dhpN8NVQssuAr52dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnY1aSJg0PPeohuR2xAw4Kj40uD0fPwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHT9IGX4mQLx98ffwkbfCVCPnywdfHrwZtBAx63kt0E3IbAgYcFXsanJ2dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2Gk3w1VCyy4CvnZ1GE3w1lOwy4Gtnp9EEXw0luwz42tlpNMFXQ8kuA752djVpImDQ896iG5HbEDDgqPjS4PR8/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18dP0gZfiZAvH3x9/CRt8JUI+fLB18evBm0EDHreS3QTchsCBhwVexqcnZ2dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnYaTfDVULLLgK+dnUYTfDWU7DLga2en0QRfDSW7DPja2Wk0wVdDyS4DvnZ2NWkiYNDz3qIbkdsQMOCo+NLg9Hz8JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx0/SBl+JkC8ffH38JG3wlQj58sHXx68GbQQMet5LdBNyGwIGHBV7GpydnV2quff228Kuq64Ie++4Ley5fcfqfu8dO8Kaw49cFV1z+FFh7RH7jvffdHrY78SNaRE4zyQA+80ElikOvpnAMsXBNxNYpjj4ZgLLFAffTGCZ4uCbCSxTHHwzgWWKg28msExx8M0ElikOvpnAMsXBNxNYpjj4ZgLLFAffTGCViiNg0POOoxuR2xAw4Kj40uD07Pzuu3572H3d9rDr6o+tBAh2ZBVEgQQKGiB4kIVtRhj2O4OkaAL4FsU5Uxj4ziApmgC+RXHOFAa+M0iKJoBvUZwzhYHvDJKiCeBbFOdMYeA7g6RoAvgWxTlTGPjOIMlOaHtZ8ZZbbgnHPPFJeFkxm6pOAfar41SzFAIGPe89ugm5DQEDjoo9Dc7Oxo4G6J2XbFsJFFxhK2BCKwYONpy1Jaw54qiJHBxKBGC/EiFfPvj6+Ena4CsR8uWDr4+fpA2+EiFfPvj6+Ena4CsR8uWDr4+fpA2+EiFfPvj6+E1qty1qkxy+wJ+kJR/HlxV3XrpNFk4k4poDXlZMwGSewj9kAqtUHAGDnncc3YjchoABR0VOaxusEYGW+U1K7Lx4W7AM0pNlcMdxED9w6wVcNtIaCGDQbgBjSG7zE1QcJvUGqIIK7FcA5MwGXydAQR18BUDObPB1AhTUwVcA5MwGXyfACXXMzyZgzOkQ9msHHRe18QW+nWGqSUzvvepjRV5WpLLXn3IafuUghZxxDv+QAatSUQQMet5xdBNyGwIGHBU+LQ7WlsXtuHiNCPQ027vOOiPsvmH7dOLEGQ2+tKi67qSNYe3KTw6tPfLosGfHrasSe1Z+sihO+NvKWHfCxnDQ1vPxtcEE16ZDDNZNZPTp0U9gUq9nZpGM9z7+xomFnk0H/sHGTasFvlpSNjnwtXHTaoGvlpQsh/FNZmSRwPzMQq2MDvyDjSP5AnyBb2PXpnXP1tcXCxRMXieu9+BlxUkq8jH8g8xoCBIIGPS8F+lG5DYEDDgq02mIQE/zKHFGTGmw5v5OAS3wr9902sq/09lLcYMKTaioTPojyVzwgAZwGrzxh5FZpFOJHN8pAZywBDCpZ7EUTcTDflGcpsLgH0zYWCUsCrJYOk2E/XaKN4CvnS/GNzs7SRPzM4nQfPLhH/I44wv8PF4aafKzxJVbK4j66cuK9PPG5EOOOeaYcPO116heVqR1h0MuvgwvK0aoij38gwJS5SIIGPS8A+km5DYEDDgq4zREoMcsSh3RYH335jNmiqPBlf7uQFOggBQ0g8mulc8L6W2MNBiBoMEM8pkEDd8ZJSSsTj4tXx5J6MhmKci17G+q4GFfspT55MM/+DnHRUGLv4j+AF8qyv2AYIzMqLQE/IONKMY3GzetFhZdtaS6lYN/yOOLL/DzeGmkm9YfSLerlxWldQ1NvZdBBv5hGXp5ZR1vZeH5f5ejqXW2km5EbkO3cVTC6tvqiEDzbLypd276lZnFfBqoD7nkMlXRmkGl6QGMFlwQ8W/HrOHbXsJy5WJS321/42G/W765pcM/5BLbJ08PqvitXBs7rRaCMVpS3cnBP+SxxfiWxytXGvOzXGLdysM/yHxpHMMX+DKnXImmYAGtP2zYvEX1CwRt9ksvK3K/ckDrDgga6Hqrja+uBEj1nQACBj3vIboJuQ0Bg1kqTYMKSSICPcsrJ4WbvNOnf9o3qHMGk/iGYfomZ05wIqdtQ5DN4TuE9nraYJnUt/Ele6UyuQkn1ZMmncv2s1qcv5jss/SzYfyNk0k65Y/b7Lf81YZTIr5U7LYvyW8iGNMtY03p8A8aSmMZjG9jFqWPMD8rTdRfHvyDzJDsFl/gy5xyJZq45qwHaOwXLyvm9sxYXsN3LI2jWgkgYNDznqMbkdsQMJim0jaoIAI9zSr3jFs0yQkWxOvlDircG1yW68brD32fy3foPLj2NfkJzZskGr7L/rNaxBdvWHGWt/g0jf0uvpb9qAHZce6Xipag1zJ/OcfNK0r0PjHFz8Hlk4R/kJlhfJMZeSQwP/PQ61YX/qGdL77Ab+djzeW4Hnju+a0/gcxdS2u/9Ax3z3lnTxWxzPO0KRAtJ1q+LUUgq+cEEDDoewchYCD2UNMkExFoEZ0oQFH3O5/9lCm5HK5R0TKYcBF/DNyR6PTewne6hOU44yafGnvO4cvZLdEduu02+WFqt/RZr4bvsgdjPHeohq+n/CHpNtkxtZF8xfpNp808rLbxJX9AZbZ9gSTdH0Pji2BMv3q0zX77VdPF1abJL2B8K9cnmJ+VY1myJPiHdprcF0c5L7fl8KX5BM0lluELfI7rwSt/jJheCMjZcvhSuVzQIKc/c+o2BNlcvkNo8zK2AQGDnvc63Yjchi8MxlS4SSYi0GM+nqP0LUB6ODrsqi+YirQMKjQ5umvlDy1P/iFkDNw8fgtfvqRhpnKTzxxbyuG7TJP6aC2cH9YEY6K+hi9xpT+MvuvqK6La6n7owZipxhpPNHyNRQ9GrWlRkOxY+lJRw5ceRLnAgWbRcQiQm/hS25qCMbHdHF/yBwjGREK+PcfXV+KwtDG+ddufmJ91y9dbOvwDTzB9RiapnOeKWGou36F/gc/NFSxcS/K1BCvi9Ye+z7XfofMYYvsQMOh5r9JNyG0IGOyjwk0yLU4919ktQwSaHsbTrwssgRjqqVy+kzafsqbFlWX7TfhJHtyxhy9X3tDSvJN6K9+hT+qjnXB+OGdyn8N3GYMxkbN1n8PXeo3a9bgHVGqTJuiVw3dZg15tfBGMWezdk2O/i63pYq6O8a1b7pifdcvXWzr8A0+Qe0bWzBfS0ix8uXnEkF6cSX2uhWvkbOX7w61nh903bI/FqOaCI+ElOrDwXSI8g2kqAgY970q6EbkNAYOw+mZZ+keGchapUq65To9bDLQEK9J69OU8ncTTZMT6dQG1KZfvJId08uDp58lyh3Ts4TskDmlbMKlPiZQ9T/0ElW65P3Ptl/O/luuWpdHf0nL59rcl3dSMe4M4J0CeyzcNhFOrhvTAP9lLbcGCQy65bFK08VjDl1tEoQKHyrURliFDw9dQbPUqGN+67ULMz7rlW6p0+IdZkqlv8DwjW/jSvTPEL/C5uZF3bcXCl5u3eOsxa0XDSLHwHUbLl6cVCBj0vK/pJuQ2BAxCSBeREYHmLMWeli6g5CyepFf1DibpBMIzMUvrNoRzL98hMGhqQ4lJvYfvUCf1xBsP+01W1690j/32qyXd1CadS9BVch4MrXzTcY2uO8SgVzqXoHbmzCdy+XJcETQg6vyWy5cvZXipGN+671PMz7pn7L0C/MMsQc435IxpkyV6+KZjHY1ztX+Bn/oE75zIw7d0XSb7fSjHHr5DYbAM7UDAoOe9TDcity17wCAdJIlRzgM+x9Ti9IYageYmQw+67mYOmzrNwjcWztXH29+x7KHsPXyHwiBtB2c3mNSnlOzn6WTaE8iz2C/17xDfsLL3SLOmhW9zacPJ4cZwywOqlS/3pcyQxjZvMCZaWi5fbo5o6dd4/aHvc/kOnQe1D+Nbt72M+Vm3fEuWDv8wTbOkb6CSPXzTMbb2ce57Jz1qCvZhV/5jWHPEUVNpuSdWvqmP8jzj5Na5Jnkr35rauOx1RcCg5xZANyG3LXvAIB2svQOkx9mVrgvX3/NOSxcxFsk3tn1ok6LYrhJ7j/2WuH5fy0jvTetkrwTfodlvOpEmG0Awpp93Qgn77WfL/LVK70vLl4oevnQfDfW3chGM8dvnPErw2O886reIa2B865465mfdMy5xBfiHWYrpV3PWuS+V7OWbBsetzzmzrZx/CjdnWOTLikQgnSMO6YWOEj3std8SdUAZ3RNAwKB7xq4r0I3IbcseMEAEmrOKcmnpRN4zGYq18g4q6aTIG8SI9RrK3st3KBwm24FJ/SSNssepj/A+pHjsN53QwzfM9rWH72xpw0hJxxRqlfVh0MOXe0i21qNPPZPel5ZgTGyPhe+QgzGRS6m9hW+pa/exHIxv3fcK5mfdMy51BfiHMUkumLjIRW2uPrXOH1K/u+HMLWHD5i1j+MYjj/2m80Q8X8x2gofvbGlI6SOBpQwY/PjHPw7vfe97w7XXXhtuuOGGsHv37vCQhzwkPOEJTwgnnHBCeMYznhGOPfbYXvQX3YTctswBA+7hepGDNfVP+mBc62Adba10e0oMJmm/exYfYjuHsi/BdygsYju4SbTVT5Tgy9WnZj+Bh/1oaf3fl7Df/rcyv4bpw6n1QbAE31J1yafQjUb6kE1Xsfo7D9903uCpRzekFl+qh+/ia99NDTC+dcM1lsrNhzA/i3T6tYd/mO4PfIE/zaPkWToPwsuKJel2Uxb8Qzdc+1Zq1QGDO++8M3zpS18KX/7yl8PNN98cDj300PCoRz0q/OzP/mx4/OMfz7Levn17ePGLXxy+9rWvsfmUuH79+nDBBReELVv8Uc3Giygz6EbktmUOGKQDCiLQnIX40tKHpUX+hmBsSfqA4X2jOfvCxLkAAEAASURBVJY7lD0G7emexKR+mkfJs/RepLKtD/uxXh775epjXZyM9Rna3sN3aCxie0p+qejlm9pw7eNbOk+zBmNiX3n4lq5LrNOQ9h6+Q+JAbUnvRUrD+EYUym2Yn5VjOY+S4B/GlNPxBIvaYzbeoy7WHqhOHvtNXzrAy4qzvezhO1saUvpIoMqAwd69e8OFF14Y3vjGN4Zdu3axXH/lV34lvOUtbwlPfvKTR/n//u//HjZu3BjuvffeUVrbwSmnnBL+8i//MjzwgQ9sE+s0j25CbkPA4IoRFgzWIxTFDtKFlEU+LMVGpQ9xtS+oxHaV2GOwnqVYclJfim/61q13EW221fNJwcP+fDiXukop+y1Vnz6Ukz4EUp2s41wpvqW/7Fsk53QO4XnpwMsXc4d2S/DybS+9vlyMb933GeZn3TMudQX4h2mSpcfpEnzT+Uyti9pdBAy8fDF/mLb/9MzLNy0P5/0kUF3A4O677w7PetazVn9OSEJKRnz55ZeH5z//+YF+huikk04KX/nKVyS1qfwzzzwzXHLJJVNp8zyhNnDbMgcMuhhQiLHH6Q1lsI62lj7sWxdSYnlevrGcLuoVy65977Hf2tvO1R+Teo5KmbSSD/uxRl77HUowJvIovffyLV2fRZeX2rD3S8USfIdiw+l8iPraO4fw8i09Hizafktf38u3dH0WWV7qG/BSUvneKH0/lrDf1G/Vuuhavrd8z8dd1GeRZXaxBuG136Esanf1jO/l21W9FmnHJa/t5VuyLiirGwLVBQzOOeeccP7556tp7LfffuFzn/vc6t8q+MM//EO1XhRcu3bt6s8eHX/88TFprnu6CbkNAYMdIyyeN9diIV5nN5TBOvIoPSHy8qV6DY1xZF1iX4JviXr0qYySNlyK71BsGA/7fbJ0uS6l7Fe+Uj0SJRcFS/EdSsAgZYtgTL/vi1L22+9W6muH8U3PyiqJ+ZmV3Pz14B+mmZdePC7BdyjPFiX9Quy1EnxL93ms2xD2JfgOgcPQ21BVwOCb3/xmoIX7pp8hauqsX/u1X1vN+sxnPjMl8rSnPS0873nPW/17B/T3EOiPIP/Jn/xJ+NGPfjQlRz9NdNVVV02lzeuEbkRuW+aAQVeO2+v0uqoX1/9dp5V+YKL6evni7Z/2XvfybS+9vtzS92MJvpjUN9uRl+9Q2DYT8uV4+fqu3j/t0g+mJfgOZYxLAwZ4Q7t/9p/WqIT9pmXWel7aNxAHL9+hjW+Yn9V1d3jtt67Wtte2tO3S1Urw7aJe7STK53ax9uDlO5R5WfneGpdYwn7HpeGojwSqChi87nWvC+94xztmOD796U8PFBR4wAMeEG688cbwqU99KuzYMX4DfUZhJeG1r33t6pcKa9asmcr+z//8z3DqqafO/HTRLbfcEh72sIdNyc7jhG7Cpo2CBvEmXab990/55bD3jnH/0hcGa488Oiyax3dPfORUV9En+LX2y3uP+anw/AcfPGrPH/z3/xcu/85dC23Pj973rrDz0m2jOtHvvx903p8svN8XbXe4Pu8H+3o/9rVeOXaUPpg8+PpvLPw+3LPj1nDns58y8g/0N04eePU/LbxeOVxrHS9qrHcf5xEPX79f+Lefe/jIhm+9d3f4+S/990LHXYv9fvFxjwhH779u1I4n3HhLuGXXfQttx73X/Wu4e/MZozrRz40ceunl8A9L+hzRZtcY336i8/uir/OgvtarzV5rHH9rbk8fx7ehzH9/cOYLwu4bto/G6YMvvizsf9ITO/dHbfZ48iEHhCuPPWJUp3+5+8dh09dvW+h8pq2+i/IHI0A4GCSBqgIGmzZtCldfffWoI2ix/7LLLlv9GwWjxJUD+lqA/vbARz/60cnk0fFv/dZvhb/5m78ZnacH27dvD7/0S7+06qBi3mc/+9nwq7/6q/F0bnu68bmtj85iXk7qquOOCk86+AEjLM++6fZwzV0/WqjzHtrD6I+v/Gi457yzR4z7sDifBjEuuP374f++/bsL7fdlvg/ndb9br4NJfXcP/X19qO5rveAn+KDeIrn0cVGQePS1Xjl+GMGY/tl7Tv8t8r7sQz37Oo70tV4We8H8rLv5maU/+nDf1VJvLGp3N76lz/n/z3fvDq/4r/9Z6HP+D899Xdh19RWj9RD6icUDXv7qhQYx+nq/jiDhYHAEqgoYPOYxjwlf//rXR53w6le/Ovzpn/7p6Dw9oD+O/Pd///dpcvi3f/u31Z8hmsmYSPjt3/7tqaDCe9/73vD7v//7ExLzOSSnwG00sC7r1sUna9H5WpkO7ZO10p8/e/lSv6QLKSX+doW1v/umV4Jv39rkrU9JP1GK71D8ROmfbCjBt7TP8tpfn/RL8O1Te0rUpaQNl+SbjnPePxZcglVuGaXbUIpv6XrlcumrfCm+fW1fbr1K+ga6dgm+QxvfMD/LtcrFyZew38XVvvyVS//kXgm+Oy/eNvMF/oFbLyjf+I5LTP+OE30pfNhVX3Bd1cs3HQ9K/MSiq0E9U/by7VlzUJ0GAtUEDPbs2RM2bNgQ7rvvvlFT/uu//is84hGPGJ2nB/TzRI9//OPD3r17R1knn3xy+Od//ufRedPBu971rvCa17xmlP1Hf/RH4cILLxydz+uAbkRuW+aAQTpY09vvJQZGj9NL6+T9I39cn887reSEnuru4dvFJGLePLu+nodv13VbRPnpPemd5JXgO5RJfWnfQPbh5TuUYExX94qXb1f1WlS5pW24BN+h2HD6gF0iuF+CLwIGzXdbCb7NpdeVU9o3UOu9fIfiG6IlYH4WSdSx99pvHa3U1TJ9Hi2xBuHlm95Pta5BpIFR6hH6WaL9Ttyo65wGKStfrj41vsTRgKVYspVvsQqgoM4JVBMw2LlzZzjggANGQCh4cM8996xOwkaJzMGTn/zkcM0114xyzjrrrHDxxRePzpsO/u7v/i78xm/8xij7N3/zN8MnPvGJ0fm8Dugm5LZlDhikgzUi0JyF+NNKcvYOJukDXK2TIX+v8CV4+fKl1p2a2q9nUl+K71Am9Wk7EIzp971Syn773cq82qVjiuehtBTfoSwKlmRLvVqC71DY5lm5TroEX92V6pDC+NZ9P2F+1j3jUleAf5gmmS4ie9cgSvBNg+ElgvTTrZ7fWTp/8Dy7Ua09fEvXZX4U53clD9/51RJX8hKoJmBADT3kkEPC3XffvdpmbcDg937v98IHPvCBEae3vvWt4Q1veMPovOng85//fKA/phw3+vsJV155ZTyd255uRG5b5oBBOlgTH8/DfuRrdXpcfYYQgeba5VkYtPJNHyxK9Xfs96HsrXyH0v60Han9YlKfErKfp/ekd0JPNfHab7rIg6DidP96+U6XVv9Zai9eGy7BN61TrTacPmQvcn4WLRUBg0iC35ewX77k+lIxvnXfZ5ifdc+45BXgH6Zplh7jPHxTf+V91plu6fzP0vZQDbxzCAvfdM5Qoh7zpzmfK1r4zqdmuEopAlUFDI477rhw0003jdou/SQRCb797W+fChD81V/9VXjhC184KqPp4IMf/GB46UtfOsqm4z//8z8fnc/rgG5CblvmgAHxSAfrRT7sl64L19+LSksXMKwTEc9gkv68gbevF8Wyy+t6+HZZr0WXnd6b1klnCb7pJNh6Ly2aKV0fD/t96AV9HUrYr/5qdUiWvB9L8U3HOk+AfpG9kM4bvGN2Cb5pnWoNxnTRryX4dlGvRZWJ8W0+5DE/mw9n71XgH2YJ9mn+kN5HQxjb0jatO2FjOOSSy2Y7QpFitd+SdVBUs1oRK99qG7ykFa8qYEA/CzT5lj8t6r/4xS9u7bqLLroovOIVrxjJfOQjHwnPfe5zR+dNB//n//yf8La3vW2Ufc4556wGH0YJczqgG5Hblj1gkA7WxMi6GBj5Wpze0CPQ6YMTsbIO3Ba+6YBN16/5U0uqf1ebhW9XdelLuamf8CzSe/mmtlz7pD5tzyL8b7Szkv0cyxza3mu/Q+PBjW0eG/by5epT65eKXdyPXr5DCcZ0dR96+XZVr0WVi/Gte/Il/YTXftP+rn1+Vrr3vHxL12fR5XHjtSfAb+Wb3kPExTOPWTTXeH1ubcVzT+byTf3BULhGvqX3uXxLXx/ldU+gqoDBJZdcEjZv3jyicsIJJ4Trr79+dM4dWAMGj3vc4wL90eS4aYITUbbknm5Cblv2gAExSR26dSGbyrI6u5J1oHr0cUv/UCvVMXfgtvBN3wi0XLePPLuok4VvF/XoW5mlJvVevkOc1KdtQjCmb9Y/ro/XfsclDesoHb+tb8KX4FuqLn3oIc7vehYxvHy5+tQajOmif718u6jTosvE+NZ9D3D3pWXR1Wu/aV9Tyz3+qnty872Cl+98azu/q6XPqNY5sIdvGgi3zmHmR01/pZQvaeauPZBOLl8uWDEkrsSk5JbLt+S1Udb8CFQVMLjjjjvCwx72sLB79+4RIfrjxL/+678+Ok8P3v/+94czzzxzlEx/uJi+VGjbKFBAAYPJTfPzR5PypY7pRuQ2BAxC4Jy6ZTCJfHOdXvqAT+UMcZJJk/qdl2wLu66+IqJa3eeyzuHLTRQ8AaGpig/0JIfvQBGwzUptCZN6FlN2YqmH/Xhhq/3iYT8SbN9b+baXWnduSdvx8OXmMrXPJdL5kfeB28O3dF3qtnq+9h6+fIl1p2J8m0//YX42H87eq8A/zBLkfIT1OdXCNx3XqIZD+gKf+N61+Yyw944dI/j0/Lb+lNPDhs1bRmmaAy1fbi5mfWbU1GsoMlq+Q2nvMrajqoABdVD6R4yPPfbY8KUvfSmsX7+e7b977rln9Y8ef/vb3w4Pf/jDw4te9KKwbt06VjYmptd49KMfPfW3E6LcPPZ0E3IbAgb7qKSTTUrNXcgmnVxnxw0q3gdiqkdfN27gprpqJ0c5fLlJEAbsdsvI4dte0vByS0zqPXw5ex7KpD71v9b71MN3yG9YlbobPXxL1aGv5aT3p3ZMm2yPl2+JOkzWpw/HCMb0oRd0dfDar+4q9UlhfOu+zzA/656x9wrwD80E8QV+M5sSOZx/oHJz1lu09pvOw2L9a395I7ajq72Wb1fXR7nzIVBdwOBb3/rW6tv/P/jBD0aEtH/IeKTQcvDNb34z0B9XnvyK4YILLgive93rWrS6y6IbkdsQMNhHhVvIRgSasxh/WtPATbw3nLUlrN90eutFpEGFFhjoS4bJtwligRiwI4nmvcS3WXP4OZjUd9PHnE+wLLhS7Sz2y03whxKMKd1jFr6l69DH8rjg/zxeOogsOBseyniXts3qG4iV1X5L1iH22RD3Vr5DZBHbhPEtkuh2j/lZt3xLlA7/wFMkH4Ev8Hk2pVK5ORqVTWsPB269IOx34kbxUm32S+VTcBhrDyLGRoE2vo1KyKiKQHUBA6J7zTXXhHe+852BggYHHHBAOPfcc8NJJ51UBPyb3/zm1fJiYQ996EPD17/+9XDYYYfFpLnu6SbkNgQMxlS4ST3lIgI9ZlTqiFinnwjGstsG77bBpC1Q0FZmvC729sWUZWHnndS32W8Tw/TtRJLzLJg1XWfR6XjYX3QPyNe32K9c6nAkuHs1J2hg5cs9COfMW/reA1z7crjG9ln5psECKm8owZjIpsTeyrfEtfteBsa37nsI87PuGXuuAP/QTq/puVg738/hy41p9Jx82FVfaK9k5bncXCI2iTjTTxQ1BQ6a+FKZ5N9337A9FjW1x1xhCkfjSRPfRgVkVEmgyoBBl6Rvuumm8Bd/8RerwQgKErzgBS8Ixx9/fJeXbC2bbkRuQ8BgmkrTYJKz4Nzm9Kh8RKD3MW+a3MceIeY0cK9b+bfmiKPC2pVz2hPfPTtuDXtWfo+Qyti9wjT9uwixDNprJ1uTOst83Ga/y8wlth2T+kii7L7JH+QuDObYL7fAC3/R3q85fNtLGl4u5xtoHMv5rdxcvtycZYgP/ty9musbyOJK8B1SMKb0XZjLt/T1+1oexrf59Azng+nK2nE9x36XddHV05M5fD3XqVWX7PfOZz9lpvo0puML/BkspoQmHxELi2sP+9//awdx7YHyH75+v3Dztdeo1x4O2nr+6rpFLBv7dgLwD+18hpCLgEHPe5FuQm5DwGCWCvcAHqUQgY4kyuxp4N511RVh56XbyhSYlIIH+wSIcIrBWgB0f7Z1Uq/l2/a1zJDfVmmayONhX2eXXUtp7bfrevS5/CbfoBmLcvlyC1bEZog+gvMNCMb0607Itd9+1b772nA2TFfF+FaWfZMPlhZdtfa7rPMzby9p+XqvU7t+k5+gdpENN/18ThvfNpttK7N2lk31J8bcT0A1yeema+Z7uWUOXb7Nfofe9mVqHwIGPe9tuhG5DQEDjkpYjR43/WQOadAAS2+/IwLN88tNLT1402BNb2PQFwnY8ghg0NbxwqRexylXirjiDatcavOTh3+QWTe9dKB5MNfwXdYvFZt8Q87DuYYv9fAyBWNki9ZLaPnqSxyWZJMNk2/AG8Tl+hrzs3IsS5YE/6CjSfbbtqAd1yDwBb6OZ5MUcf7h1rMbf06oSa8pnYK/+KqgiY6cDv8gM6pdAgGDnvcg3YTchoABR2VfmjRgN2vqcnIecnUl1i9FzGkxhL46aPo9wKZWxgkUAgVNhOR0DNYyo0kJyUdEm4yT+kf9XyeHW3bdt1oE6eJntSZpjo+JTVPAlpjiDasxq3kewT/oaTcFDaiEpi8VJb5U5rL/Vm4T1za/EHtN4ktyVD5+NjISy9tr+OaVOExpjG/z6VfMz+bDWXsV+ActqX1yZL/4Aj+PmVWaWFPggDasPVgp+vTgH3z8atFGwKDnPUU3IrchYMBRmU6LA0nuIDJdyvgMEegxi7Yj4k4P7/Q3CvbcvvL3Cu64beXfjlUVWhxYc/jK3zU4Yt9+/abT8DVBG8yMPAzaGbBWRDGpz+OllSaueMNKS2t+cvAPetZkw02BLyolBhQnv1Rce+TRgeZlpJsTUFymt9qaggbEtCkYQ3m0NdkvlbnswZh9hHz/N/H1lTo8bYxv8+lT4oxF1/mw1lwF/kFDaVpG8hXT0vIZvsBvZ0S8m9Yebr13dzjmiU8arT2sO2lj4x9Jbr8KcjkC8A8clWGlIWDQ8/6km5DbEDDgqPBpNIggAs2zmVcqBpNuSYOvnS8m9XZ2TZrEFA/7TXTmnw7/kM+8tF9Ia7CsXyoSVwRjUmtY7Dn8Qx5/jG95vDzSpf0wFl3zewP+IZ/ZpAbZMC1k4wv8SSrzO4b9dssafLvl25fSETDoS0801INuRG5DwICjIqfFgZt7+x0RaJmfRwKDioeerAu+MqM2iegbMKlvo5SXh4f9PF5dSsM/2OiSDeO3cm3smrRK+4X0OssajEk55JzDP+TQ2idb2o6xmN3cB8Qai67NfLrOgX8oQzjaMbcGgS/wyzDmSoH9clTKpYFvOZZ9LQkBg772zP31opuQ2xAw4KjY0+Ds7Ow0muCroWSXAV87O04zndT/17/+Szh6/3WropjUc8Ta0yJPBGPaOXWVC//gJ0s2jC8V/RwnS4hM8bORk1Tmfwz/4GOO8c3HL1c78o6Lrpif5RLMk4d/yOOVKw2+ucTy5ME3j1euNPjmEqtTHgGDnvcb3YjchoABR8WXBqfn4ydpg69EyJcPvj5+kjb4SoR0+enDPv7GiY6bVwr26yU41s+xYfxW7phb0xHxRDCmic580uEfynDO8Q34G15lmFMpsN9yLLmSwJejUi4NfMux5EoCX45KuTTwLceyryUhYNDXnrm/XnQTchsCBhwVexqcnZ2dRhN8NZTsMuBrZ6fRBF8NJbsM+NrZaTTBV0PJLgO+dnapZs6CK4IxKT3bOezXxk2rBb5aUjY58LVx02qBr5aUTQ58bdy0WuCrJWWTA18bt9q0EDDoeY/RjchtCBhwVHxpcHo+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+NXgzYCBj3vJboJuQ0BA46KPQ3Ozs5Oowm+Gkp2GfC1s9Nogq+Gkl0GfO3sNJrgq6FklwFfOzuNJvhqKNllwNfOTqMJvhpKdhnwtbPTaIKvhpJdBnzt7DSa4KuhZJcBXzu7mjQRMOh5b9GNyG0IGHBUfGlwej5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr41eDNgIGPe8lugm5DQEDjoo9Dc7Ozk6jCb4aSnYZ8LWz02iCr4aSXQZ87ew0muCroWSXAV87O40m+Goo2WXA185Oowm+Gkp2GfC1s9Nogq+Gkl0GfO3sNJrgq6FklwFfO7uaNBEw6Hlv0Y3IbQgYcFR8aXB6Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjV4M2AgY97yW6CbkNAQOOij0Nzs7OTqMJvhpKdhnwtbPTaIKvhpJdBnzt7DSa4KuhZJcBXzs7jSb4aijZZcDXzk6jCb4aSnYZ8LWz02iCr4aSXQZ87ew0muCroWSXAV87u5o0ETDoeW/RjchtCBhwVHxpcHo+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+NXgzYCBj3vJboJuQ0BA46KPQ3Ozs5Oowm+Gkp2GfC1s9Nogq+Gkl0GfO3sNJrgq6FklwFfOzuNJvhqKNllwNfOTqMJvhpKdhnwtbPTaIKvhpJdBnzt7DSa4KuhZJcBXzu7mjQRMOh5b9GNyG0IGHBUfGlwej5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr41eDNgIGPe8lugm5DQEDjoo9Dc7Ozk6jCb4aSnYZ8LWz02iCr4aSXQZ87ew0muCroWSXAV87O40m+Goo2WXA185Oowm+Gkp2GfC1s9Nogq+Gkl0GfO3sNJrgq6FklwFfO7uaNBEw6Hlv0Y3IbQgYcFR8aXB6Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjV4M2AgY97yW6CbkNAQOOij0Nzs7OTqMJvhpKdhnwtbPTaIKvhpJdBnzt7DSa4KuhZJcBXzs7jSb4aijZZcDXzk6jCb4aSnYZ8LWz02iCr4aSXQZ87ew0muCroWSXAV87u5o0ETDoeW/RjchtCBhwVHxpcHo+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+NXgzYCBj3vJboJuQ0BA46KPQ3Ozs5Oowm+Gkp2GfC1s9Nogq+Gkl0GfO3sNJrgq6FklwFfOzuNJvhqKNllwNfOTqMJvhpKdhnwtbPTaIKvhpJdBnzt7DSa4KuhZJcBXzu7mjQRMOh5b9GNyG0IGHBUfGlwej5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr41eDNgIGPe8lugm5DQEDjoo9Dc7Ozk6jCb4aSnYZ8LWz02iCr4aSXQZ87ew0muCroWSXAV87O40m+Goo2WXA185Oowm+Gkp2GfC1s9Nogq+Gkl0GfO3sNJrgq6FklwFfO7uaNBEw6Hlv0Y3IbQgYcFR8aXB6Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjV4M2AgY97yW6CbkNAQOOij0Nzs7OTqMJvhpKdhnwtbPTaIKvhpJdBnzt7DSa4KuhZJcBXzs7jSb4aijZZcDXzk6jCb4aSnYZ8LWz02iCr4aSXQZ87ew0muCroWSXAV87u5o0ETDoeW/RjchtCBhwVHxpcHo+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+NXgzYCBj3vJboJuQ0BA46KPQ3Ozs5Oowm+Gkp2GfC1s9Nogq+Gkl0GfO3sNJrgq6FklwFfOzuNJvhqKNllwNfOTqMJvhpKdhnwtbPTaIKvhpJdBnzt7DSa4KuhZJcBXzu7mjQRMOh5b9GNyG0IGHBUfGlwej5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr4ydpg69EyJcPvj5+kjb4SoR8+eDr41eDNgIGPe8lugm5DQEDjoo9Dc7Ozk6jCb4aSnYZ8LWz02iCr4aSXQZ87ew0muCroWSXAV87O40m+Goo2WXA185Oowm+Gkp2GfC1s9Nogq+Gkl0GfO3sNJrgq6FklwFfO7uaNBEw6Hlv0Y3IbQgYcFR8aXB6Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjJ2mDr0TIlw++Pn6SNvhKhHz54OvjV4M2AgY97yW6CbkNAQOOij0Nzs7OTqMJvhpKdhnwtbPTaIKvhpJdBnzt7DSa4KuhZJcBXzs7jSb4aijZZcDXzk6jCb4aSnYZ8LWz02iCr4aSXQZ87ew0muCroWSXAV87u5o0ETDoeW/RjchtCBhwVHxpcHo+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+MnaYOvRMiXD74+fpI2+EqEfPng6+NXgzYCBj3vJboJuQ0BA46KPQ3Ozs5Oowm+Gko6mb233xZ2XXVF2HvHbWHP7TtW93vv2BHWHH7kagFrDj8qrD1i3/H+m04P+524UVcwpBoJwH4b0RTJAN8iGBsLAd9GNOqMNr97yy23hGOe+CT4XTXNPEHYbx6vXGnwzSWWJw++ebzapNv8MOlh/ttGz5YH+7Vx02qBr5aUTQ58bdy0WuCrJVW3HAIGPe8/uhG5DQEDjoovDU7Px0/SBl+JUHP+fddvD7uv2x52Xf2xlQDBjmZBJocCCRQ0QPCAgZORBPvNgCWI4qFfANRBNuw3H2r0uzsv3ZatDL+bjaxVAfbbisedCb5uhK0FgG8rntbM6Icx/23F1Gkm7LccXsx/y7HUlgT71ZKyyYGvjVtNWggY9Ly36CbkNgQMOCq6NAzWOk4lpTCY2GiSre68ZNtKoOAKWwETWnEBa8NZW8KaI46ayMGhRAD2KxGS8+NDPxZfZValJWC/eUTJVu+96mNF/C5def0ppyFgm9cFU9Kw3ykcrhPMf134TMqwXxO2gPmvjVtpLdivnyjmv36G1hJgv1Zys3qYP8wyWZYUBAx63tPk6LgNAQOOSnNaHKzxhkozo65zMGjnEd558bZgWVyVrhIDBwduvUASRf4EAdjvBIyMQyy+ZsDqUBT2q4N7z9bXFwsUTF4RfneSRv4x7DefWdTA/DeSWNwe9pvHHvPfPF5dS8N+bYQx/7VxK60F+7UTjfMHy3pEnPfiFw7s/PuiiYBBX3qioR7k5LgNAQOOymwa3lCZZbKIFAzWedTvOuuMsPuG7Y1K9MYq/VbrupM2hrUrPzm09sijw54dt67K71n5yaL4FkBbGetO2BgO2no+vjZopDzOgP2OWeQcYfE1h1Z3srBfmS09FNEiVZvPTP0ufalFvvaYY44JN197jcrv0gPUIRdfBr8rd8lIAvY7QpF1gPlvFq7OhGG/eWgx/83j1bU07NdGGPNfG7fSWrBfG1EEu2zchqqFgEHPe5YcHbchYMBRmU7DGyrTPBZ9hkFb7gEaoGmSyf2dAlrgX7/ptJV/p7MFcXxpwYDKpD+SzC2E0eIVfWmAP4zMIp1K5PhOCeBkRMCy+GoJemHxdYRcPID9NiMie7178xmsgOR3o9IkX43fpZ+Ga/LlsUzsxwQm+Y5TcdREAPPfJjKLSYf9ytwx/5UZLUoC9qsnj/mvntW8JGG/eaQR7MrjtQzSCBj0vJfJyXEbAgYclXEa3lAZs+jDEQZruReaFq1oUVRaXNLw3bXym9z09xDSYASCBnLfaPjKpSyHRJMdU+ubFl/b+GLx1W83bXz9pdddQpO9kq1u2LxFFUxt40t+lwvYavx63WTL1b6Nb7mrDKckzH/71ZewX7k/mvywxk9q+GL+K/dBk4SGb5PusqU32TFxwPx3MdYA+9VzJ/vN/dIWL3vp+dYsiYBBz3uPHB23IWDAUQmrb1PjDW2ezaJTMWi398Cdm35lZjGfJpiHXHJZu+L9uRq+TT9RQA9l+JmMdswavu0lDD+36WFJs/iq4YvFV7sNafjaS69Ts81etX43tryNL/xupGTft/G1lzosTbJnzH/72aew3/Z+wfy3nc+ic2G/cg+0zSeklw80fDH/lfugSULDt0l3WdKb7Jfa3xTsimw4vnjZK9IZxh4Bg573I92E3IaAwSyVJmeHN1RmWc07hRtM5l2HPl+PeyOQfi9b+4eJc/jSIE5vvKZ/wCgnONFnll3ULYdvF9evocwm/6uxqxy+WHzNt4Ycvvml16vBLVIdeO752T8VpOVLD/z3nHf2FDAEa6dwsCdavqzykiQ2+V/MfxdvALDf9j7A/Ledz6JzYb9yDzT5X8x/ZXZdS8B+ZcJt9otgl8xvGSQQMOh5L5Oj4zYEDGapcA//msE6lqQZVLBYFWnl7zV880utX4P7rcCcYEEkkMuX+41jy3Xj9Ye+z+U7dB5p+zj/m7P4mssXi69pD7Sf5/JtL63+XG6R6uCVP0Zs/XsuWr6c3cLvyvak5SuXNEwJzv9i/tufvob98n2B+S/PpW+psN/2HuH8L+a/7czmmQv7babdFizQfmmr4Yv1s+Y+qCEHAYOe9xLdhNyGgME0Fe7hP+chXOPs4hXxhnYkod/n8NWXWr8k2dKdz37KVENyHvKjooUvN3jjbddIdHpv4TtdwrDPOP+bs/hq5YvFV51dWfnqSq9PintAypkvpC3O5csFa3Pul/T6Qz/P5Tt0Hmn7OP+bY885fDH/TenL5zl85dKGI4H5bx19Cftt7yfO/+aM51a+mP+290vMtfKN+kPfI9g19B4u0z4EDMpw7KwUcnTchoDBmAreUBmz6PMRBu3Z3kltlxbsD7vqC7OCihQLX3pgu2vzGVN/OyFnoUFRrcGIWPgOpvEtDSm1+Grli8XXls6ZyLLynShiMIfpA74lSJvCyOFLfveHW88Ou2/YPiqmRB1GhQ3wIIfvAJvf2KR0DkGCljE8ly/ndy3XbWzYwDJy+Q6s+WxzUtvF/JfF1ItE2C/fDZj/8lz6lgr75XsknQuTVE6wK5aayxfBrkiunj0CBj3vK7oJuQ0Bg31U8IYKZx39S8sdTPrXgvI14mw35xPWyRp5+KYDNz200d9OsP40x2S9hnLs4TsUBk3tSCecloVPD18svjb1zDjdw3dcyjCOUn9HrbI8IE3SsPDlFhq89Zis05COLXyH1P6mtnBziHn5X7r2zku2hV1XXzGqHr5QHKGYOoD9TuFYPeFsF/PfWU59SIH9NvcC5r/NbPqSA/vle4Kbg1qC/la+3EsHmAPzfdWHVAQMGnph79694atf/WrYsGFDOPDAA8NP/dRPNUh2m0w3IrchYLCPCt5Q4ayjn2nWQaWfrfHXqqTtUm08fNNJr2XS4CfS7xI8fPvdMnvtSi6+evhyE19MPKf71cN3uqS6z1K/W8rXWfh2VZe6e4ivvYUvX9JwUlP7wRva/e1b2O9035S0XSrZwxfz3+m+4c48fLnyhpCG+W89vQj7ne2r1O9ZXjaIpVr44mWvSK+OPQIGDf30ile8Ilx00UWruWvWrAnXX399ePzjH98g3V0y3YTchoBBCHhDhbOMfqZZBpN+tqRcrdLfDbS+XUU18vJNJ76ehYdyhPpTkpdvf1pStibpQ7918bUE31J1KUuoH6WV4NuPlvhr8b2THjVVyGFX/mNYc8RRU2m5J1a+6RwGfpcnb+XLlzaM1NR2qFXWOYSHLzd3wBeK0zbm4Ttd0nDOMP+tpy9hv3xflZpzluBbqi58S+tOLcG3bgKztU/HbZKwvmTl4YuXvWb7pq8pVQcMvvnNb4ZPfepT4cYbb1z9d88994Sf/MmfXP0a4DGPeUx43vOeFx796Eeb2G/atClcffXVI91Pf/rT4ZnPfObofF4HdCNyGwIGIaQDpPdh2+P00kitdeGM6+uhpHn4DoVBbAf3sP+g626O2aa9hy9XH+vkwVT5CpQ8fCtonqmKJRdfvXxTG/aOByYgPVby8u1x09RV4x5OvH43XtzKN507wO9GotN7K9/pUoZzhvlvXX0J+x33VzpWU47XD3v4cvWBHx73Fx15+E6XNJwzzH/r6UvY73RfpfMH75qVh2/puky3FGelCFQZMNizZ0+48MILw7nnnht+/OMft7I46aSTwstf/vLw0pe+dHXAaxWeyETAYAJGTw/xhkpPO4aplmcwYYqrPin97b5FDtYRZrpw5a1TLHcIe9jvbC+WXHwtxTe1YTz07+u3UnxnraCulPTBZMOZW8KGzVvcjfDwTd/0gt+d7Q4P39nShpGC+W89/Qj7ne4rzH+nefT9DPY720OY/84y6WsK7He2ZxDsmmWClHYC1QUMdu/eHZ761KeGa665pr1lSe7JJ58c3v/+94fjjjsuyeFPETDgufQllXsjBG+o9KV3+Hpg0B5zSReurD8lMC7R/wYQFq4mac4ew36nmaQ27F18LcEXNjzdR5NnJfhOllfjcWqzJfxu5GDlC5uNBNv3Vr7tpdaZi/lvff0G+x33WRd+2MsXfnjcP9yRly9XZs1pqQ1j/tvv3oT9jvunZLArlurli5e9Isn+7qsLGNCXBa997WtNRNevXx/e9KY3hde//vVh3bp1rWUgYNCKZ+GZeENl4V2QVQHvYJJ1sQqESw+OJfimkwjPH0CqoAuyqliCb9YFKxBOH5g8i6+l+OKhnzecUnz50utJTd/KLvH3C6j1Hr7wu7L9ePjKpdcngflvXX0G+53uL8x/p3n0/Qz2O9tDmP/OMulrCux3umdS20Wwa5oPzngCVQUMvvWtb4Xjjz8+0N8q8Gz0hcJHP/rR8KAHPaixGAQMGtH0IiN1eJ7Fqtgg76CCxapIkt97+fKl1pnaxcKVl2/61iJ+A37atrx8p0ur/6y0DZfgi8XXZrsqwbe59DpyStvsZKutfOF3Jyk2H1v5NpdYbw7mv/X1Hex33Gdd+GEvX/jhcf9wR16+XJk1p5W24RJ8Mf9ttqgSfJtLrysH84e6+qsvta0qYHDeeeeFrVu3zrA7/PDDV/9Gwc/8zM+ENWvWhFtvvXX1DxbTzxY1/XHgRz7ykasy9MeRuQ0BA45Kf9Lwhkp/+kJTEwzW05TS3w9c5M9pxZrhgSmSmN3DfmeZlHxgKsUXNjzbT5RSii9fej2ppf1ubLmXb1f1ivWrfe/lW3v70/pj/psS6fc57He6f0r7uxJ8MXeY7qPJsxJ8J8sbwjHmv/X0Iux3uq9K2i6VXIIvgl3TfdTHs6oCBs9//vPDhz/84SmOL3jBC8L73ve+cPDBB0+l08ltt90W3v3ud4d3vvOd4b777pvJf/CDHxw+9alPhV/4hV+YyUPAYAZJrxJKOzxqnNfpYcLZbiJevu2l15Vb+oGJWl+Cbxf1qqtnmmtbgm9z6fXllLaVUnxL16u+nuFrXIovX3odqV3MG2LLPXxhs5Fi897Dt7nUOnO6sGMvX8x/223Jy7e99Lpyu/B3Jfh2Ua+6eqa5tiX4NpdeX05pWynFt3S96usZvsal+PKl15WK+UNd/dWX2lYVMHjc4x4XbrzxxhE7+qLghhtuCA94wANGadzBV7/61fDKV74y/MM//MNM9kEHHRSuvPLK1T+kPJnZ94AB1ZW+nohOcNn26aD44Ou/sXAee3bcGu589lNGZkQ/6fLAq/9p4fVaZjvp633xxcc9Ihy9//jvqDzhxlvCLbvuW+j9DPtdXn9quU++f8ovh7137Bj5O/o9+LVHHr1wf/fdEx85qhMd0Nc7lvbBbw7vfrjquKPCkw4ezxeffdPt4Zq7frRQ+7j3un8Nd28+Y2Sz9LdjDr308oXfR7D//to/5r8/gfuj4uc/zH9hv7WPL5j/9nd8xHy/3b90NX8YTWKNB2m9vL+8YKwG1BoIVBMw2LNnTzjwwAPDrl27Rk259NJLw8te9rLRuXRA8q961aumyiAd+mPI9DcNTjnllFERfQ8Y1D7Yeuvf10WhvtbLyxv6ZSdHPzjzBWH3DdtH/ubgiy8L+5/0xIU+BJ98yAHhymOPGNXpX+7+cdj09dsWupgGuytrdyV5YvG1fVKOh5b+8YHf7a8/wf2iv1/6Os/sa71KjnuwU72dNnGHH4Yfrv0+wvzX7wea/APSu/UPXQa7RgsIhgMEDAzQ5qhSTcBg586d4YADDphCs3379vCLv/iLU2nSyXXXXRdOPfXU1Z8rmpTdb7/9wmWXXRae+9znribXEDCYrP+yHZf+pCpOXjwc8Ul2M70SfJtLry+n9B8dKsF358Xbws5Lt41grj/ltHDg1gtG58t8UILv0PiV/B3tUnzxO5i8lZXiy5deT2rqd0v5OA/ftE4bztwSNmzeUg/UOdTUw3cO1Zv7JTD/nTty1wVhv9P4Up934Lnnh/WbTp8WyjgrwRfz32bgJfg2l15nDua/9fQb7He6r0raLpVcgi+e3ab7qI9n1QQMCN6hhx4a7rrrrhFHWvw/8cQTR+faA/qjyM961rPCf/zHf0yprF27NnzgAx8Iv/u7vxsQMJhC07uT0g6PGuh1enB47Wbi5dteel25u676WLjnvLNHlS6xcOXlmz7EYeFq1D2rB16+06XVf5bai9eGS/BN6wQbHttZCb7j0uo8Sv0u/WzgYVd9oUhjrHzTxV/v4lmRxvSwECvfHjbFXSXMf90I514A7HeMPPXD3rkDlezli7nDuH+4Iy9frsya01J78dpwCb5pnTD/HVtYCb7j0uo+wvyh7v5bVO2rChgcf/zxgf4eQdwuv/zy8Du/8zvxNGv//e9/f/UniK699topPXIqF110Ubj66qtX/8XMT3/60+GZz3xmPJ3bnurDbfTJ1jJv6cDofcguMZjgDZVmiyzBt7n0+nJKf41Sgm/6OSD9Jv2aI46qD24HNS7Bt4NqLbTI9KHfs/haii8WX3mTKMWXL72e1NTvUs3p5+D2O3GjqxFWvlx98Luts11h5Ttb0jBSMP+tqx9hv9P9lfo9z9yBSi7BF/Pf6T6aPCvBd7K8IRxj/ltPL8J+p/sqnT8g2DXNB2c8gaoCBs9//vPDhz/84VFLXvGKV4T3vOc9o/Pcg3vuuWf154k++9nPiqoIGIiI5iqQDtZeh0eV9w4qqRNGdH/aJLx8p0ur/6x0lN/DN72fvA9w9ffObAs8fGdLqz8lfeinFnkWX718ufpg8XVsZ16+45LqPkr9bom5AxGx8O2qLnX3EF97C1++pPpT0/G6hA17+WL+225XXr7tpdeXm/o+z9yBWu/hm95PmP/O2pOH72xp9adw802PDXv5cvXB/HdsZ16+45LqP+rC33n54mWv/ttVVQED+hsDL3zhC0dUDzrooNW/RUA/VWTd6I8oUyDiE5/4RGsRCBi04pl7Zjo4eid4XmdHAPCGSrMZlODbXHqdOSUHbS/f9OENwa5pm/LynS5tOGep3VgXrkrwLVWX4fTOuCUl+I5Lq/so9bvUGs+DPulb+KY/YViiHlTGEDcL3yFyiG3C/DeSqGMP+53tp9QPe57hvHzTuQPmv9P95eU7XdpwzlK7wfy3n30L+53ul3T+QLmeObCXL1cfBLum+6wPZ1UFDOhnhI466qjwox/9aMTuvPPOC29605tG55aD3bt3h5e85CXhQx/6UKM6AgaNaBaWkQ7WHodHjfA4vZKT34UB7fjCHr4dV20hxXODpOentax8U9slGN57aSFAO76olW/H1Vpo8SVtx8MXi6+yGXj4yqXXJZHOHdadsDEccsllrkbk8u2iDq4G9Fw5l2/Pm+OuXmo/3jHbwzcdBzyLv24wPS3Aw7enTXJVC/NfF765K8N+Z5Gnfo8krH7Ywxfz39m+SVM8fNOyhnCezh+swa7IwsO3dF1inbAvS6CqgAE1/TWveU1417veNaKwYcOG8JWvfCUcc8wxozTLAf1NgFe+8pWrf7+A00fAgKOy2LR0sPY8pHicHVFIHR7eUJm2DS/f6dKGc5Z+xm+1YQ/f9FNA78RhOL0zbomH77iUYR6lvs+y+OrlW6IOw+ydfa3y8h0aG+4B2zNm5/JN7ZX4WhcahtY3XHty+XJlDC0N8996ehT2y/cV5r88l76lwn6beyQdyzH/bWa1qBzY7yz5dP5AEtY5qIcvNxe31mO2lUgpSaC6gMH//M//hMc+9rHhO9/5zojDH//xH4d3vOMdo3PPwTnnnBPOP//8mSIQMJhBsvAEvKGy8C7IqoBnUMm6UEXCnA1bJpzUZAvfdLJL5eCPHROF2c3Cd7aU4aVwEz7L4quVL2fDmHDO2pmV72xJw0hJF6uoVRa7jTS0fLn7BUHaSLF5r+XbXMKwcri5A75Q7G8fw35n+4azYcx/Zzn1IQX2y/cCN55b5hFWvpj/8v2Splr5puUM6Ty1HavvJSZWviXrMKS+6WNbqgsYEMRrr702vPWtbw133XVXoL9jQF8GnHLKKcX4XnjhhYECB/RTRbTRjfDlL385HH/88cWuoS2Irs1t9EUEthDSh368od1Pq7AOJv1sTdla7bx4W9h56bapQnMnnBa+6b1DFci97lSlB3xi4TtgHDNN89qSlS/3sIbF15nuMU/mZ0saTgotVt21+Yyw944do0bR/GH9KaeHDZu3jNI0B1r75ezVOmfR1GsoMlq+Q2mvth2p37XakocvvlCUe8vDVy69bgnMf/vff7Df9j5K/TBJ5zxLWfly8wnMf2f7ysp3tqRhpXD2k2O3kYaVbxosoPLwslek2r99lQGDeWC89dZbww033BD27t0bjjvuuIUEC6iddCNyGwIG+6jgDRXOOvqZZh1U+tmacrUiG955ybaw6+orpgrNHbhz+HITXM/bBVMVH+hJDt+BImhsVonF11y+3GTXumDW2LABZeTyHVDTG5vCzR9I2PLQLfHlHo7oWnhAIgryJvGVSxieBGe/1nHcwpezaXyhyNuZhS9f0rBSMf+toz9hv839hPlvM5u+5MB++Z7g1gJy1x6o5Fy+3PObZd7NtwqpXRBAwKALqgXLpJuQ2xAwGFPBGypjFn09yh1M+tqOrurFTTjpWtqH/xy+3EM+FlrbezaHb3tJw83lFq+otZpJYC5fzobpWlh8JQqzWy7f2RKGm8I9uFBrySceuPWCsN+JG8XGt/Gl8umhbPJLhlgg7DWSaN+38W3XHH4u5r/972PYb3sfYf7bzmfRubBfuQcw/5UZLUoC9ttMnvO9NPfN+dI2ly8358YaRHMf9SUHAYO+9ERDPehG5DYEDMZUyOHhDe0xj74e5Q4qfW1HV/VqmnDSQLrhrC1h/abTWy8t8aU/ckT3CRauWjE2Zkp8GxWXKIObCFLzNYuvGr5YfLUbk4avvfS6NZvsllpFQVv6iSIpcJDypTJpMXf3DdtZOAgWsFgaE1O+jYJLloH5bx0dDvtt7yfMf9v5LDoX9iv3QNM8AvNfmV3XErDfZsJNvlfzslcsVcsXL3tFYvXtETDoeZ/RTchtCBhMUyGHl/4eMUngDe1pTos60w4mi6pfX67bZMdUv7ZJZxvftkBBW5l9YdKHerTx7UP9+lSHpocmqmPT4qvEF4uvvh6W+PpKH4Z2m++lFpKvpKDB/vcHbteunK854qjVxj98/X7h5muvCVTG7pVAQfrzcpOE6B44aOv5I93JPBzzBGC/PJeY2mS7mP9GQovdw351/JvsmLTb5qptfDH/1bFvk2rj26a3jHmY//av12G/cp802W2b342lavhS+fjSNhKrc4+AQc/7jW5EbkPAYJYKTTbvfPZTZjLI4eEN7Rksc0/QDCpzr1QPL0h2zH0xE6saF67WrSxe0YJVXLgivnt23Br2rPwRTypDs3B1yCWXxWKxFwjAfgVAE9ltD/4kFm14cvF17ZFHBxrXSDfHhrH4OgG+5RD22wLn/izJ98oltEvkvLHVXtLy5cJ+2/ucbBfz33ZGi8yF/eroSz44zh0w/9XxLCUF+9WTJBv+4dazG78ujDaM+a+eqVcS9isTbAoakGbTy16x1Ca+VCa+tI2U6t4jYNDz/qObkNsQMOCohNXFJu5LA5KmQbrpN4mbnB3p4Q0VouDb2vj6Sh6mNk04d111Rdh56bZOGoiFqzyssN88XiQtPfjnlzitARue5tF2BvttozObJz3wz2q0p+CrgnY+Ui7sVyK0L5/sFvNfHat5SsF+82hj/pvHq2tp2G8+Ycx/85l1pQH71ZNtm0NQKQh26VkOTRIBg573KDk6bkPAgKOyL00aqKPDwxsqzQy7yMGgnU9VsuXcEmmRlb62iT+lkau/zPKwX1vvkw23vW2VWyoWX3OJ7ZOH/eZzi7ZLmk1/i6Cp1DjPgL9tIpSXDvvV8ZLmDNEuMf/V8SwlBfvNJynZcm6JmP/mEhvLw37HLHKO4hwid/7QdA3Mf5vItKfDftv5TOaW9ruTZdMxXvZKidRxjoBBz/uJnBy3IWDAURmnkcPDG9pjHos+wmDt6wGyZ/q0j2w6d+IZFwiwcGXvA9ivnV3UjA9OdA4bjlTms4f9+jlHH0w/9bbn9pWffbvjttEfkL/13t3hmCc+Kaw9YuXvGhx+VFh30kbxjyT7a7Q8JcB+8/oa8988Xl1Lw359hKPvxfzXx9GqDfu1khvrYf47ZjHvI9ivjXi02f+/vfuAm6QoEz/ebmBZclCUJcshJuIii4pElTtJAsKh6Il6ggpi4uDUP7oqBsCAa4ZTMIAZEPBOUDABCgKieKcklbRrIkhaFpad/zzzWvPO9FRPVddTNdPd8+vPZ3fm7a6nuvtbNdVdXTPdZftrRWtjsKtIph7zGTCoeDlJQ2ebGDCwqQzOkwZv2P3gByOGz+EbKsN9hi3loD1Mx3+Z6TzZLlzJ4IBcsDIXrubseyC/JvCnHZqS+juUp9TCMnWYi6+laAsTU38LaaIswDcKY2Em+BbSFC7g/LeQZuQLqL9xyMucO3D+G8dccqH+xrMsU4c5/43jTv0Nd5T6Kr8Sl6ns4AFfWAx3r1okAwZVK5Hc9kgjZ5sYMLCpFM8zB2i+oVJslHIJB+uUupzMp9XFF9/UAmnzp/3FN61A2typvzpfzn91ftpo6q9WcHg8vsN9tEvx1QoOj8d3uI92Kb5awel4cy7h84VFBrum3ZrwjgGDipeiNHS2iQEDm4rfvDINHt9Q8TP1ScVB20cpPA2+4XY+kfj6KIWnwTfczicSXx+l8DT4htv5ROLro+ROw/mv2yhFCupvCtXpPPGdtkjxDt8UqtN54jttkeIdvilUp/PEd9qiqe8YMKh4ycqH0DYxYGBTCZ9HYxdu5xOJr49SeBp8w+18IvH1UQp6nIhaAABAAElEQVRPg2+4nU8kvj5K4WnwDbfzicTXRyk8Db7hdj6R+PoohafBN9zOJxJfH6XwNPiG2/lE4uujFJ4G33C7OkUyYFDx0pIPom1iwMCmoptHo6fzc0Xj6xLSLcdX5+eKxtclpFuOr87PFY2vS0i3HF+dnysaX5eQbjm+Oj9XNL4uId1yfHV+rmh8XUK65fjq/FzR+LqEdMvx1fnVIZoBg4qXknwIbRMDBjaV8Hk0duF2PpH4+iiFp8E33M4nEl8fpfA0+Ibb+UTi66MUngbfcDufSHx9lMLT4Btu5xOJr49SeBp8w+18IvH1UQpPg2+4nU8kvj5K4WnwDberUyQDBhUvLfkg2iYGDGwqunk0ejo/VzS+LiHdcnx1fq5ofF1CuuX46vxc0fi6hHTL8dX5uaLxdQnpluOr83NF4+sS0i3HV+fnisbXJaRbjq/OzxWNr0tItxxfnV8dohkwqHgpyYfQNjFgYFMJn0djF27nE4mvj1J4GnzD7Xwi8fVRCk+Db7idTyS+PkrhafANt/OJxNdHKTwNvuF2PpH4+iiFp8E33M4nEl8fpfA0+Ibb+UTi66MUngbfcLs6RTJgUPHSkg+ibWLAwKaim0ejp/NzRePrEtItx1fn54rG1yWkW46vzs8Vja9LSLccX52fKxpfl5BuOb46P1c0vi4h3XJ8dX6uaHxdQrrl+Or8XNH4uoR0y/HV+dUhmgGDipeSfAhtEwMGNpXweTR24XY+kfj6KIWnwTfczicSXx+l8DT4htv5ROLroxSeBt9wO59IfH2UwtPgG27nE4mvj1J4GnzD7Xwi8fVRCk+Db7idTyS+PkrhafANt6tTJAMGFS8t+SDaJgYMbCq6eTR6Oj9XNL4uId1yfHV+rmh8XUK65fjq/FzR+LqEdMvx1fm5ovF1CemW46vzc0Xj6xLSLcdX5+eKxtclpFuOr87PFY2vS0i3HF+dXx2iGTCoeCnJh9A2MWBgUwmfR2MXbucTia+PUngafMPtfCLx9VEKT4NvuJ1PJL4+SuFp8A2384nE10cpPA2+4XY+kfj6KIWnwTfczicSXx+l8DT4htv5ROLroxSeBt9wuzpFMmBQ8dKSD6JtYsDApqKbR6On83NF4+sS0i3HV+fnisbXJaRbjq/OzxWNr0tItxxfnZ8rGl+XkG45vjo/VzS+LiHdcnx1fq5ofF1CuuX46vxc0fi6hHTL8dX51SGaAYOKl5J8CG0TAwY2lfB5NHbhdj6R+PoohafBN9zOJxJfH6XwNPiG2/lE4uujFJ4G33A7n0h8fZTC0+AbbucTia+PUngafMPtfCLx9VEKT4NvuJ1PJL4+SuFp8A23q1MkAwYVLy35INomBgxsKrp5NHo6P1c0vi4h3XJ8dX6uaHxdQrrl+Or8XNH4uoR0y/HV+bmi8XUJ6Zbjq/NzRePrEtItx1fn54rG1yWkW46vzs8Vja9LSLccX51fHaIZMKh4KcmH0DYxYGBTCZ9HYxdu5xOJr49SeBp8w+18IvH1UQpPg2+4nU8kvj5K4WnwDbfzicTXRyk8Db7hdj6R+PoohafBN9zOJxJfH6XwNPiG2/lE4uujFJ4G33C7OkUyYFDx0pIPom1iwMCmoptHo6fzc0Xj6xLSLcdX5+eKxtclpFuOr87PFY2vS0i3HF+dnysaX5eQbjm+Oj9XNL4uId1yfHV+rmh8XUK65fjq/FzR+LqEdMvx1fnVIZoBg4qXknwIbRMDBjaV8Hk0duF2PpH4+iiFp8E33M4nEl8fpfA0+Ibb+UTi66MUngbfcDufSHx9lMLT4Btu5xOJr49SeBp8w+18IvH1UQpPg2+4nU8kvj5K4WnwDberUyQDBhUvLfkg2iYGDGwqunk0ejo/VzS+LiHdcnx1fq5ofF1CuuX46vxc0fi6hHTL8dX5uaLxdQnpluOr83NF4+sS0i3HV+fnisbXJaRbjq/OzxWNr0tItxxfnV8dohkwqHgpyYfQNjFgYFMJn0djF27nE4mvj1J4GnzD7Xwi8fVRCk+Db7idTyS+PkrhafANt/OJxNdHKTwNvuF2PpH4+iiFp8E33M4nEl8fpfA0+Ibb+UTi66MUngbfcLs6RTJgUPHSkg+ibWLAwKaim0ejp/NzRePrEtItx1fn54rG1yWkW46vzs8Vja9LSLccX52fKxpfl5BuOb46P1c0vi4h3XJ8dX6uaHxdQrrl+Or8XNH4uoR0y/HV+dUhmgGDipeSfAhtEwMGNpXweTR24XY+kfj6KIWnwTfczicSXx+l8DT4htv5ROLroxSeBt9wO59IfH2UwtPgG27nE4mvj1J4GnzD7Xwi8fVRCk+Db7idTyS+PkrhafANt6tTJAMGFS8t+SDaJgYMbCq6eTR6Oj9XNL4uId1yfHV+rmh8XUK65fjq/FzR+LqEdMvx1fm5ovF1CemW46vzc0Xj6xLSLcdX5+eKxtclpFuOr87PFY2vS0i3HF+dXx2iGTCoeCnJh9A2MWBgUwmfR2MXbucTia+PUngafMPtfCLx9VEKT4NvuJ1PJL4+SuFp8A2384nE10cpPA2+4XY+kfj6KIWnwTfczicSXx+l8DT4htv5ROLroxSeBt9wuzpFMmBQ8dKSD6JtYsDApqKbR6On83NF4+sS0i3HV+fnisbXJaRbjq/OzxWNr0tItxxfnZ8rGl+XkG45vjo/VzS+LiHdcnx1fq5ofF1CuuX46vxc0fi6hHTL8dX51SGaAYOKl5J8CG0TAwY2lfB5NHbhdj6R+PoohafBN9zOJxJfH6XwNPiG2/lE4uujFJ4G33A7n0h8fZTC0+AbbucTia+PUngafMPtfCLx9VEKT4NvuJ1PJL4+SuFp8A23q1MkAwYVLy35INomBgxsKrp5NHo6P1c0vi4h3XJ8dX6uaHxdQrrl+Or8XNH4uoR0y/HV+bmi8XUJ6Zbjq/NzRePrEtItx1fn54rG1yWkW46vzs8Vja9LSLccX51fHaIZMKh4KcmH0DYxYGBTCZ9HYxdu5xOJr49SeBp8w+18IvH1UQpPg2+4nU8kvj5K4WnwDbfzicTXRyk8Db7hdj6R+PoohafBN9zOJxJfH6XwNPiG2/lE4uujFJ4G33C7OkUyYFDx0pIPom1iwMCmoptHo6fzc0Xj6xLSLcdX5+eKxtclpFuOr87PFY2vS0i3HF+dnysaX5eQbjm+Oj9XNL4uId1yfHV+rmh8XUK65fjq/FzR+LqEdMvx1fnVIZoBg4qXknwIbRMDBjaV8Hk0duF2PpH4+iiFp8E33M4nEl8fpfA0+Ibb+UTi66MUngbfcDufSHx9lPzSrFh8R7bsgnOyFUvuyB5bfGfndcWSO7MZ62/QyWDG+htmM+dNvV9p34Oy2fMX+GVMqkIB6m8hTekF1N/SZOoA6q+acGgG+A7lUS/EV004NAN8h/I0ZiEDBhUvSvkg2iYGDGwqunk0ejo/VzS+LiHdcnx1fq5ofF1C7uXDOvu33nprttlOz+VilZsxKAX1N4jNOwhfb6qghPgGsXWCHr3mymz51Vdmyy78dnuA4M5SGclAggwaMHjgZuP45jYKSUH9DVELjxlWjyVXBhXDbYsiOb4VycSZj28cx6Jc8C2Sac58BgwqWJa9B+tLv3p2tvGcWdlGK83Kbn9keWdrb1u2PNvjpS/rvOckvnwB9vryDavyfiERHExC1Owx1F+7S6y5+MaSnMqHzn5cT1du1F+XUPzlHN/0psPqLYOJYb5iuvS0Re2BgnPCMuiJMgMHc484Jpsxb8OeJZP9luNbuvKn/qazzeds6vHS0xflFzn/Nm0D1yOcVNYEnD9YWaLNxDcapTUjfK0sjZvJgEFFipSDddqCML58wyqtM53+NL6m/nIyn9aX9iGeL539eJaunEz7QP11SemWc3zT+eWjTb3luJaX0f+99HOLshBX15rNxcFVF57sStro5Rzf0hYv9Tetr8ld2uBHLvh2lEFFyXPOPgfyaySDW+KVi64lsAKS4huAVhAy7DxYQvgFUgFczWczYDDmAuRgnbYAOKlP6yu50+lPZ0z7kM5WcqZ9SONLZz+Naz5X6m9eJP7fHN/SmHKRKr6ryfG+Iw7Lll97pflz4FUu6kmnftYOC7KZ7VsOzdxgo+yxO2/vpHusfcsic0FgWB6ztl+QrbbwpIn8tQHHt4EqFXUG9TcqZ2FmDy48LtpAQe9KGFTs1eh/b9pWniHT7xLrL3xjSfbnw3lwv8ck/sWAwRhLnYN1WnxO6tP6cjE7rS/tQ1pf2oc0vmU7+3J7CznJ32yzzbKbr7iMi1WexUL99YQKTMbxLRDOEcZxzQGkWCx1VnxtzymQC/xz9j2w/e8g6xps38CUdlnylIck2wYP5MKg/NJgkh6MzPHNWn2izKT+RmF0ZiLOcv5g+0yb4BiDitI+rPG5syZyUNE4yqt4yzNkQn7xZQZfuN1Tr2j/e+PLL2z7XWL8JbZ8uSOGZP3zYMBgDGVY5mD9gv/4z+z2ZY9mt7WfX7Bx+zkGMm00Z3Z2yVlfLjyJN7s0yQfrsif1fMPK1Bq/Vzr9fk4hqcq0D5pvCNI+8A3MkPpZFCP1lotVRTpx53N8i+uZz43jW15E/3fIcS1kMHFSj2vie/+Rhw0UlHjIcweKBgokwDZYkM9oWfu2JfI8hPxghOQ/CYMGHN/yNSLu39TfuJ5FuRU5S/qiQcVh7YPPoKKr/Sna1rrPF2sutqYrRal7PKMnnS/nwels65gzAwYjLrWyB2s5UNumVqvVmc3Bul9HfLlo1W8S8y/xLfvNFDr9/iVQtn3ozdl2Uk/70Cs09U0f2od+kxh/FdVbn4tVZv22+muWTfrFKuPA8c1IpHnl+JbO1XYxW9ZWdJEqvyW97QPHtbxOlt27764DF/PFdo3TzhpMbJnT62tZ3JlVdIGm6YM0HN+KakS8+dTfeJZFORXVY2kn5h55zNBfCvm0D3KeZvs1UpnzwKJtr9t8LramLTF+YZvON+Q8OORLt00/b0hXQuPJmQGDEbqHHKzlIG2bzIBB77JJP1gX+fqcrPieDE36N6xCO/02Xzr9vZ/eqYvZNl9O5vudQv+ifQiVc8fR2XcbaVNQf7WCw+OLfCXKdVGb41uxbZGrz3HN5GrzNcsm/bxXHGy/OJJbivg+mHiYr3E2r3LeJhcF87fXkPL0HZwwedXlleNb2pKi/qb1ldyHtcOuz23Z9sH2re9JuTgozmW/VMfF1nL139Ze9OYQ43ZacjybxGf0FLUT4lt0HjysfeA6T2/NrPd7BgxGVH5FH0LXSbZ8EG2TbcBA0k3qN4Bk3zmpF4U007D66/pmitmiYQeVSe/0D/N1ncz7+Jo0tA93GorOq6v97U08rP6adJPoazt5L3Oxytj5+k7axSrjw/HNSMR/Hdb+cnwL9x7m6ntcM2sf1j5MYrtrXGzfZE3V/pp1yqvtG54h6+3Ns4rvOb6lLRXqb1pfk7vt/GHVd5809FZlJlZeh7W/venMe+nTPfie482fndemDxoUHe9k54suthogm68c1yRP2682JM7ny5Am/ya8igW/EE9XkkX1V+qu6zzYVn/zWzrp13nyHnX7mwGDEZVY6MFaPoS2qWjAwKSdtIO19qTep7EztnIQn6SLVsMOIr6dfh/fSe70h7YPpk76+Jq08kr7kGVlLm6U8Z2k9oHOfu+nKt17jm/pbDm+pbPVHtfMlvm2v5N2XJNjzb377WaYOq9lBsFNoK+vSS+vtvO1pl0Q5PjWW+Lx31N/45vacrSdP6zefhix78PKQ9oH2Q5be1zmvNu2L1WdN+w8gout+lIr8vUZNPGpv1JXuYPE4DOQfM4nfHxNDbCdN8iypp07mP1t0isDBgWluWLFiuwXv/hFNnPmzGyVVVbJnv70pxekdM/WHKzlg2ibXAMGEjMpB2tO6m01JN48Ov3xLG05adqH3vzKHLQljvbh5F4+5/uyvk3/Bmaszr6BL+NrO+ls6gknxzdTQ9K8cnxL4xrruGa2zrd9mJTjmrjk2wZpA9e64MeGrNSrr29vptIO39d+0HLvg5CbckGQ41tvSad5T/1N49qbq+1Ca8hnNKR9kO2wnQeXGazo3ZeqvrcZy7b6XGw1++TjazvvlfimnvsaG3m1nafh2yuke2/z5RdIOtOmRTNgUFCiH/3oR7O3ve1t3aU///nPswULFnT/9n1jO5CUOVjLQcQ2+QwYSFzTD9axTup9Dtb5crAdvJt24I7V6S/rOymdfm37YOpkWV8TR/tgJIa/hvg2vX2gsz+8zsRYyvEthmJxHhzfim00S2Id18w2lG1/m35cExdb21Cmg29s5bWsb29s/lxNzoHl2Qm+317uzatK7zm+pS0N6m9aX5N7/hhX5iKryUPTPkg5P7Dw+Gz5tVea7EpdSO8GVfgNF1vTFk6+Dsvayl5H871mJvV1ku4gIZY23zKDeqHtQ/7coWy5Snqm0QkwYFBgfcIJJ2Qnnnhid+n3vve9bK+99ur+7fsm/0Ese7CWD6JtKtP4NflgzUm9rXbEmUenP47jsFy07UNv3iEH7aafzNM+9NaQeO9jdvbNVoXU3/wJZ1MuVhkT6q+RiP/K8S2+qckx5nHN5FmmfWj6cU1MYrYNkl8ZX0nfO+XLu8zFnN58qvKe41v6kqD+pjfOnx/JGstcCOzdQk37YDvWhm5H7zZV4X2+7ZNtCtm3sr62sq17u2srz3w7IWlC9rOsr+1LByHrte1TlebZPpsh+1nW1xjYnEM+PyY/XtMJMGBQYBtjwMDWoJf9IMiH0Db5DhhIrK1BKLsdtm0Y97yYJ/WhjZ0Y5Mu5KRet8idCZQe7eutHiG/TO/35eiNeoZ/LEF9TPrQPRqL4VeObL+cmtA/5k3jZp9BbYYi6xjffToWc7BaX/PiWcHxLa5+vNxzf4njn2zvJNfS4ZrYopH1o6nHNmOS/1Rr66wLJL8TXbIe85stcezzozXsc7zm+pVen/qY3ztfj0HMjbfsgexprW9Kr+a/BdowJMQ71bfrFVts5cMh5WoivrFueabDswnO6FUKOa2u0n/0xY96G3Xl1fxPjPDjE17g1/TqP2c8mvDJgUFCKMQYMYhwg5YNom8oMGEh8jG2xbcc45+X3SdtJ0TR6+UY35KRhnJb5dec7gLKcTn9eSfd3vv5q64ym/sbeFp1MnOj8PtE+xHGVXGJ29s1WhdbffFulLWezPeN+pf6mK4F8nZE1cXyL452vt9rjmtmqkPYh1baYbRrXq+1CyjpX36zanBBfs0Lb9mg/TybvcbxyfEurbqsv1N/45nfv8E99ma51/o+CL3Zq2gfZiHyZN+E8Ld/vD7mYbQooxFdMuYOEERz+Gurb1Gf0iFbM8+AQX1NitoG3Op8/mP1q2isDBgUlGmPAIMbBWj6EtqnsgEETD9YxT+o1jZ2UT77hrfvJUOyOtsY39rbYPk/jmBejfTDbrfGVPGgfjKT9VevbpPYhX1dEjM6+vd5o5nJ80+gNj419TNG0D7G3Zfiep18a87hmtjbUN99W1f28zHjkv1mqHZQJ9TXbI6/5i2faberNe5Tv83VG1s3xLW4JUH/jetpys12EC63HMdoH2cZ8G1Hni4L5c3rZv9D90fjayjl0O2QfqjLZ2uHQX9FpfPPlLOcQTXhGj5RzrHNPja+pb7G2xeTHa3wBBgwKTLUDBrZGPORgLR9E21R2wEDyaNLB2nYwCfHttdU0erbtqfNBm05/b82I/z5W+9C7ZZr6K/nQPvRqDr7X+DapfYjd2TfSGt983a3rxSpjYasvHN+Mjv6V45ve0JZDiuOaWU9o+5BvG+p8XmYs8p3r0AspJj95DfU1eeQvrNS1Deb4Zko03Sv1N52tyTlvPPe1x2RzjzzGLC79qm0fZIVNaSNkX/K+2vZO4xt7W2T/xj3l90k72K/xzZ9DaMt63LZm/THPgzW+sj35Po+2vM0+8hpPoFYDBkceeWR21llnxdv7ITk98sgj2aOPPtpNUfahx/nGLvRgLR9C2xQyYNCkg3Xsk3ptYydl1JSDSopOv9Y3b1v3Tn+s9sG0DVpfyYf2wWgOvsbwzdfhup505usuF6sG64t2Dsc3rWBxPMe3YhvtknzbEHrem98OTfvbpOOacckfS7TnQxpfs035z5Xm9hwmz3G85uswx7f4pUD9jW+azzFmPY7RPsj2Nakt5mJrvsbF/Ztf2Mb1zOeWP17L8tAvJcVqH2IfF/L7zN86gVoNGDzrWc/Krr76at0eB0ZrBwxCTzrlg2ibJn3AIObJkPHVNnpNORnK29LpNzUk3mveOLR96N0i6u+0Br7TFrHfpTqp09Tf/MlvXS9WmbKi/hqJ+K95W45v8YzztjGOa2brQtuHppyXGQd5zV9M0dyb3OQb6mvim/INQY5vpkTTvVJ/09manGMba9sH2a6mnKfl90P2LfRiq8TKpPVN1W5Nbd1o/88fS2Tt4/S1bY92kH60ooNry5+rac+DtfVXtrCJ52qD8vWdU6sBg2233Tb71a9+NRbtsgMGsQ7W8iG0TSEDBvmDXJ0vqsQ+OMZo7Jrimz+QxOj0a32bdiCJ1T6YtkHrK/k0pf7KvtA+iEKaKXbdla3U1t/8CX3df85K/U1TdyVXjm/pbFO0DbK1mvahScc1U3L5b7eO82KK2aamtMEp6rCm/opvU2xNXaH+Gol0rzHrsbb+mr1sSj3On0NwsdWUcJxXfmEbx3FYLvk6rLnOE6t9aNp1nmH+dVxWqwGDXXbZJfvpT386FucmDBg05WAtFSDmyZCpUNpGrym+KWzFWOPbtE5/CmONr5RPU+qv7Au+opBmit3ZN1upqb9NqrviQf01tSL+awpb2UpN/W3K8S2Vrca3aW2DWKRogzX1V7ZJphTbNZXz6P5PtQ8a36bV4RTGGl9Tu1Jsl8l71K+x9yWGrxjE3q5Ru8r6Yl5sNduv9W3SxVZ8Ta1I9xr7XE1bf2VPm3IenK7UxptzrQYMzjzzzOxVr3pVn9hmm22W7bzzzn3zYvxx3XXXZddff303q7IDBrEOivIhLJrkVwbmQ+r7mt+uda+5JQvJx3d9qdJVcT8eu/P27N79dusWl3zLde0Lf1I733v22SVbseTO7n7Iz91nbrDRWPdjkzmzs19utUl3m25/ZHm2za//WLr+p6qPZfOtYv2VdqCq29UE36a0D3fN37z7OZQ38u3WsuWTIn1Vtyvk+FrFz2FT6i/Ht/Lnjb6f1yrW2yYd10w5/GrrTbONVprVbYe3u/7W7NZlj461HW5K+1DV40hVtyvk+Eb9fVzy/lQVj3PSfjWhHlex/j5y9c+z+488rHtMkDtIrHn62cnrWcjn3xzHil4v2HLD7Lmrr9zdl/1uXJxddt9DYz2+NclX3FO0D90CC3zTtIHxQIbKhtVqwEAUn//852eXXHJJF3TrrbfOrr322mzmzJndeTHenHDCCdmJJ57YzarsgEGs0Tv5YNum0Ea6CQdrManqflR1u8rUFzr9nMybNqcqF4PL1F/ah7T1t4qdpaZcrDL1vKrHkapul3HzeeX4lq59SNEJlfbcp1yHpWtCve3dv7+/9mXZ8muvNIfpTO6nvNIOO6mdNM47r7FKdv5T5nW36fL7H872veGOsV7kCdkfjm/6z5vLnfqbbtDWtBNcdE1Xj6t4nGvSl+rwTd8+pDoP7p4ABL7Jb5f2douBm0GYRaB2Awa33HJLttVWW2VLly7t7s6iRYuyN77xjd2/Y7zRDhjEugexHPxtk5yQlZ2a9HOfWAMyxtCcZJm/Q16bMjoa21YsY/g26UASq30w9TSGL+2D0Rx8jeHblPYhdt0Vba1vk+queMRug7W+sk1Nqb+xbcUmhm8Tjm8p2gatb9PaBvGIfcuGGPU39n2nZT/HMaWow1rfptVh6m/6mh2zHmvrr9nbptTj2MfqWL6xt8uU26hfY+9HDN+mnP+asox5HhzD12xX7LI3+fKqF6jdgIHs8imnnJIdd9xx3b1fa621shtuuCFbb731uvO0bxgw0AqmjY95MmS2VNvoNeVkKIWtGGt8m2Jr6loKY42vbFeTjPE1NS3+a+zOvtlCTf1tysUqY0H9NRLxX1PYylZq6m9T2t5Uthrfptj2fhJS3K9aU39l2/LHBe2DQHv3d5Tv8/uheRhk73ZrfJt2fKP+9taMNO/z9XjOPgdmqy48OXhlmvprVprfprq2ETEvthqbGL5NudiaYj/wNTVt6jX2uVoM3yaeq/Wr1/uvWg4YPPbYY9mOO+7YuRWR4ZdnG3zhC18wf6pftQMG+QNj6MFaPoS2KeQXBvltquvBWjzy+6I9qY/R2DXlpD72gUTKS+vbtANJvv6Gtg9iK5PWV/LIbxPtg6hMTTF8m9I+0Nk3tSLda/6zyPEtnjXHt3iW+Zzy9VZ7XDP5a9rf/DbV+bhmPGJ/21Hja7Ypf5FHnn01Y96GZnFtXjm+pS8q6m9643w9lmfqrXXBj4NWHKN9kBXnL7Rrz2uCdiZCUOxziBi+Teoj5+uJ9lgSwzd2mxWhGqqyiFmHY/jKzjSpDqsKp6LBtRwwEMtf/vKXnUGD5cuXd2ilwl5xxRXZTjvtFIVaO2AQ62At+2WbQgYM8o1wXQ/W4pH3jdEx1TZ6TemY5vcjhq2UmcY3v0117/Tn66/mZF5sZdL4SjztgygUT1rfptThVCfOGt+mXKwytS/fPsRogzW+sl1Nqb/5/YhhKz4a3/w21fX4lq+3MY5rYitTqG+TjmtTElP/x+zwa3wlNmW5T+3t6P7n+DYaa+pvWud8PZa1ybNOZs9fELTi0PbXrMy2PXW9P3nsuitGWt8mXWzF13xq0r3mzzm158Ha+it7mt+mup4Hpyu18eZc2wEDYTv++OOzk0+e/ondQQcdlH3rW9+KIqodMLAdHEMO1vIhtE1lBwxs21PXg7V45PdH2zGN0dg15aJVis6f1rdpnf58/ZU6HdI+SJxMWl/b9tA+TNnG8JU8mtI+yL7EPqHX1N8U7ZXs4zin/OeR41u80khRXzT1V/asKce3fL2VfdMc1yReplBf2/bU+bg2pTH1f8x6HOprtid/PKh7Rz+/P9o6rPGNWc6mvKrwGnO/NL5ikS/vutdfU775/Qq9KKj1tRmHbovZt3G+5i9savclhm9+m+pch/P7ov1yawzfpvxC3HxuqtT+mm1qynmw2Z+mvdZ6wEAefHzIIYdkV111VTZjxozs4IMPzuQByDGmq6++Onv729+e3XPPPdlGG22UnX766dnjH//4UlnHOFhLQ2ebyg4YxNgW23aMc15+nzipj1Matk621la2LPSgbdueJnT68/V3nCedsbclTk3U5ZLfJ20dDq2/shcxT850KnGiU+xPqG++nOvcUeotnfx+UX97dcLf244nWlvZmtD6a9ueOh/f8vVWe1wzJR3im2pbzDaN89VWbzQXVkJ8Zf/zxwKZF+PzJPmMa8rvk3bAVvYj1Ddfh5tyfKP+pq/d+Xosawz9bIbWX1ln/tvvmu2Q2HFPeddxtg/GokkXW/O+Mc4hNPVXjPODGHVvh23tb2jbID5aX9v21Pk8WEyaNtV6wKDqhZFv9GR7y34g5UNom8oMGDTtYG088r6ag7a2sWvaSX1+f7QHbI1v7G0x9Wfcr/n6K9tTtn0w+6DxpX0wisWvGl/JNV+Hm3iyycWq4voTsiTfPnB8C1G0x+Q/jxzf7E4hc/P1VvIIPa6Z9Ye0v009rhkTec1fxAhtI0J8zXbkL1RpP0sm33G+2i5ecHyLXyLU3/im+Rzzx7pZ2y/I1jjtrHyyoX9r2gfJOMY2DN3AES+0tQ+aY5zW17Y9db7Ymt+f0OOaqRZaX8mnSb8QNy75z2XosTuGb6xtMfvGa3wBBgzim/blmP8QlD1YywfRNpUZMNBug239VZiXP6jINnFSH6dk6PTHcXTlEvOzGXrQjrkNrv0d5XLah7TasTr7ZitD6m8TL1YZD+qvkYj/yvEtvmlvjimOKWXbhxTb0LuPVXhvayPK9jHMfpT1lbi8sczTPqBS8qjCxPEtfSlQf9Mb2wZOQ76wEtI+yN7Z2gjNxfX0Yn5ryO9X6MVWs7ZQX4mPvS1mm8b5mt8nbZ3R+ObPF7UDGON07V13fr9kWaizxtfWRoVuR+/+8T6uAAMGcT0HcrN9EMocrOVDaJt8Bwzyja7k1aQPYqyTek1j19SLVvm6E9oRlToX6htzG2Q7qjZp2wezP7F8JT/aB6M6/RrqKzk0tX2gsz9dP1K94/iWSnawk83xLZ51rOOa2aKy7W/+vEHyadJxzbjIa/7eyjKvTB9D0pf1lZh82yTzyq5XYqo6cXwbTclQf9M7az+rIe2D7JXtOKC9sJ5ey28NXGz1cwpNlffVXKQPrb9m2/PnE006zuX3LeQ8OLZvyDaYsuI1nQADBulsuzlrDtbyQbRNPgMGTT5YGxNO6o1E/Fdb/dEcKMseVPIHMtnDJnb6Ne1Db6mX9bWVb1NO5o0L7YORSPMao7NvtqxM/Y31mTHrruor9TddydjaP45v8bxjf0Z92wdbuTbtuNZbStJGLD1tUbbswnN6Z5e+eO/rKyuxlW0TO/kc3/qqVJI/qL9JWPsyFeP7jjwsW7Hkzu58uQA7Z5+DsrlHHtOdN+xNmfZB8rG1w5qLvsO2bVzL8n1UTRtY1tfsc8xtMHlW4dV27ssdJOKXjO1zGnIeHKv+yh428TpP/JIbfY4MGIzAXHOwlg+hbXINGNgagaYdrI1LjJP6kMbO1mkKaWjNflTxNdY+lvW11d+mdvo17YOpMzF8aR+M5uBrWV/JIdZnZ3BrqjNH6i4Xq9KWB8e3dL6xPqNl24dJOL7FOK6Zkvf1tbk29bhmbOTVZi3zfS9g+fpKnvkLVDKvqcYc36R000/U39EY37vfbgMr8ulXlWkfZAW2NkLmN+1CoO14E3INoKyvWMpkc26Scf78LPQ4E+orxk39hbjsm5nyzjK/TD0O9bV9fnzaI7PdvI5WgAGDEXnLCVHIwVo+iLZp2ICB7SAieTTpQNJrwkl9r0bc97YTeTlol/lmitki34OK7SASeqJg1l3119D2oXe/fH1pH6bUypwQSYSvr6S1nYD5XryR+DpNtjZCtr/s/vr42uruJLQNDMqk+UTY6i7Ht3jWMY5rZmtc7YOtbZDYpp73GhfzWmQt9XnuEcdkc/Y9yCS1vrp85RYR0g71fkvZZNRkY1sbIfvN8c2UfpxX6m8cx2G52PpWkl7aiFUXnpzNnr+gMNzVPkig5C/nvpPURtjO9cv2LcTOx1fSmclWlk272GprE8q2u8arrK/E2c4pmvKMHuMir7ZjXNnz4LK+tvor61zrgh/3bhrvKyTAgMEIC8P2AZHVDztYy4fQNtkGDCbxYG1sbA2eLPM9uJRp7GwHkSY3dLaDttiWOTnx9bXZyrqa3CGV/ZMppH2YivQ72aR96P9JttjRPpgapHstaiOkXeRilc5Wojm+6Q2LciiquxzfisTKzdcc18yahp0/TPJxzfiY16J2Qpa7+hm2PoXEDRsoGJanxDZlKmojOL7FLWHqb1xPW25F7bGklfNhuUVRfuBgWPsrcZKn/BJy+bVXyp8DU5P7b7Y6K+1CmS/VuXzzoLYylHU28WIrv7DNl36av4uOcT7nwWXr7yRf50lTeqPJlQGD0Th312Jr6M1C28FaPoi2qffkfpIP1r02RQ0eJ/W9SmHvi+qt2Lq+mWLWOOygIvlP2jdTjEvva5GzpLG1D72xRb60D1NKtA+9tSX+e1vHyazFp52w1V8uVhnBqUED268UOb5NG4W+K2p3feqtWaet/pplk358K/IVH9dxzRjmfTmuGZn+V2mHbb9IMqmkTssFwVntfzPmbZjNbP8tr+L72J23Z4+173MueSxvn5Pln4tg8pBXKbc1Tjurd1aj33N8G03xUn/TOw+ry7J200as9I9fJUkbMXODjTK57iCxZdqI1Rae1Glf0u/V+NYgJrZzM5+LrWar88c3Mz//OmkXW4vag7K/4vD1FW/br0Ym4XhXdJ7mcx7s4zvp58H5z3Ld/mbAYAwlVuZgvfvuu2e3L3s0u+2R5Z0t3XilWdlGc2Znl5z1Za8T+kk4WPcW4TDbYY3esMaOi1ZTwkUHE1nq6vQX+dLp7629U++H1WFJwcn8oJnvnGG2tA++isXpxJeLVcU+2iXUX61gcTzHt2KbGEuG1V3J33ZckwvZMm3SPue9+YrLvC9kT9p5bwep5z+xXnbBOdnS0xf1zI33tsyFsHhrHX9OHN9GUwbU3/TOrrqs3YJJayOKzh+G9SuMcVH/2CyXV8l/Ur9UJ3U1/9BuMfG9iO/jK/nJZBuQkTJs4q83pva4//+ieiypiq7zuHwlz0n9BVK/br3/YsBgTOXHwTodvMvWdEz5hlX5Mig6cJucjG3vN1Po9Bsd/1dXHfbPyZ5y0k7mexVctqYO0z70qvm/F18uVvl7lU1J/S0r5p9ebG0dU5ODaRs4vhmRcq+uulsut8HUk3xcG9SY+lXSsAFcW8yweeIrt5gz53TD0jZ1Gce30ZVs7PaC+jtYdmL8wMLjC28nNBgxfI5cVJzUAduQi61Gs+iiKxdbp4Skntp+xSHnZNz21NSiOK9iXfY8mF8gxbGvci4MGIy5dDhYpykAceWiVTrbmJ3Q/FbS6Z8WoX2Ytoj5jvYhpqY9LzGO2U7Q2Z92pv5OW8R+F7ve5reP49vUhWwuUuVrRrq/pU7LhSc5Jy66z3jR2s0g2aQPFOR9YrcTHN/ywtN/U3+nLVK9E2Npk2WijQhXFkcutob7DYscZivHqaLbIxcNxsi6uIOEXVysY/bf8mvhPDgvUv2/GTCoSBlxsE5TELEbPU7qp8vJ1NmyJ5fTOfS/m+RvpvRLDP5lrGVJWW86/IOeZg7tg5FI9yrGXKxK40v9TeMquZo2t2x7W7RFHN8GZYyxLCnrzHFt0NNnjmmP5RkFjy1uP69gyR3tf3d2QsV0xvrt5xrMm3qds++BE/1rgjKeDMb4aOnTUH/1hq4cyhjP2mHBwEOSXfk3fbn4cbE1TSm7bM15Ab8Qj+Mv3ny5I45l3XNhwKCCJdh7sL70q2dnG89pP7eg/ewCmW5vP8vgtmXLsz1e+rLOiT0Ha78CNKac1Pt5lUllDigSQ6e/jFxYWlOXfTr8tA9+xsaU9sHPKzSVcfapu1ys8lc2rtRffzPflGLLNy99tcLTmTpsaxvkvHeznZ7bvZDNcS3c2RY57BuYtvTMswsMq8MMxtjNYsyl/sZQLM4D32KbYUvMuUPZfnFRnnzpYEpGXOVcl2f0FNWU+PNNXZacy9ZnM4jDrxTjl8soc2TAYJTaAeuSA7VtarVattnM8xDgpN4DKTDJMFs6/YGonmGc1HtCOZINq8N0+h14isXUXwVeTyj1twcj8tththzfImPnsqN9yIFE/hPfyKC57PDNgUT+E9/IoLns8M2BlPhTzhv40kEJMM+k4hrzlxzcQcIPfth5cL6PzJc7/EzrkIoBg4qXkhykbRMDBjaV8HmcDIXb+UTi66MUngbfcDufSHx9lMLT4Btu5xOJr49SeBp8w+18IvH1UQpPg2+4nU8kvj5K4WnwDbfzicTXR8kvDRdb/ZzKpDKm/MK2jFq8tLQP8SyrnBMDBlUunfa2yQfRNjFgYFPRzaPR0/m5ovF1CemW46vzc0Xj6xLSLcdX5+eKxtclpFuOr87PFY2vS0i3HF+dnysaX5eQbjm+Oj9XNL4uId1yfHV+JtoMHthubZj/9ju3PTVq+lfqr96w6jkwYFDxEpIPoW1iwMCmEj6Pxi7czicSXx+l8DT4htv5ROLroxSeBt9wO59IfH2UwtPgG27nE4mvj1J4GnzD7Xwi8fVRCk+Db7idTyS+PkrhafANt/OJxNdHKTwNvuF2dYpkwKDipSUfRNvEgIFNRTePRk/n54rG1yWkW46vzs8Vja9LSLccX52fKxpfl5BuOb46P1c0vi4h3XJ8dX6uaHxdQrrl+Or8XNH4uoR0y/HV+bmi8XUJ6Zbjq/OrQzQDBhUvJfkQ2iYGDGwq4fNo7MLtfCLx9VEKT4NvuJ1PJL4+SuFp8A2384nE10cpPA2+4XY+kfj6KIWnwTfczicSXx+l8DT4htv5ROLroxSeBt9wO59IfH2UwtPgG25Xp0gGDCpeWvJBtE0MGNhUdPNo9HR+rmh8XUK65fjq/FzR+LqEdMvx1fm5ovF1CemW46vzc0Xj6xLSLcdX5+eKxtclpFuOr87PFY2vS0i3HF+dnysaX5eQbjm+Or86RDNgUPFSkg+hbWLAwKYSPo/GLtzOJxJfH6XwNPiG2/lE4uujFJ4G33A7n0h8fZTC0+AbbucTia+PUngafMPtfCLx9VEKT4NvuJ1PJL4+SuFp8A2384nE10cpPA2+4XZ1imTAoOKlJR9E28SAgU1FN49GT+fnisbXJaRbjq/OzxWNr0tItxxfnZ8rGl+XkG45vjo/VzS+LiHdcnx1fq5ofF1CuuX46vxc0fi6hHTL8dX5uaLxdQnpluOr86tDNAMGFS8l+RDaJgYMbCrh82jswu18IvH1UQpPg2+4nU8kvj5K4WnwDbfzicTXRyk8Db7hdj6R+PoohafBN9zOJxJfH6XwNPiG2/lE4uujFJ4G33A7n0h8fZTC0+AbblenSAYMKl5a8kG0TQwY2FR082j0dH6uaHxdQrrl+Or8XNH4uoR0y/HV+bmi8XUJ6Zbjq/NzRePrEtItx1fn54rG1yWkW46vzs8Vja9LSLccX52fKxpfl5BuOb46vzpEM2BQ8VKSD6FtYsDAphI+j8Yu3M4nEl8fpfA0+Ibb+UTi66MUngbfcDufSHx9lMLT4Btu5xOJr49SeBp8w+18IvH1UQpPg2+4nU8kvj5K4WnwDbfzicTXRyk8Db7hdnWKZMCg4qUlH0TbxICBTUU3j0ZP5+eKxtclpFuOr87PFY2vS0i3HF+dnysaX5eQbjm+Oj9XNL4uId1yfHV+rmh8XUK65fjq/FzR+LqEdMvx1fm5ovF1CemW46vzq0M0AwYVLyX5ENomBgxsKuHzaOzC7Xwi8fVRCk+Db7idTyS+PkrhafANt/OJxNdHKTwNvuF2PpH4+iiFp8E33M4nEl8fpfA0+Ibb+UTi66MUngbfcDufSHx9lMLT4BtuV6dIBgwqXlryQbRNDBjYVHTzaPR0fq5ofF1CuuX46vxc0fi6hHTL8dX5uaLxdQnpluOr83NF4+sS0i3HV+fnisbXJaRbjq/OzxWNr0tItxxfnZ8rGl+XkG45vjq/OkQzYFDxUpIPoW1iwMCmEj6Pxi7czicSXx+l8DT4htv5ROLroxSeBt9wO59IfH2UwtPgG27nE4mvj1J4GnzD7Xwi8fVRCk+Db7idTyS+PkrhafANt/OJxNdHKTwNvuF2dYpkwKDipSUfRNvEgIFNRTePRk/n54rG1yWkW46vzs8Vja9LSLccX52fKxpfl5BuOb46P1c0vi4h3XJ8dX6uaHxdQrrl+Or8XNH4uoR0y/HV+bmi8XUJ6Zbjq/OrQzQDBhUvJfkQ2iYGDGwq4fNo7MLtfCLx9VEKT4NvuJ1PJL4+SuFp8A2384nE10cpPA2+4XY+kfj6KIWnwTfczicSXx+l8DT4htv5ROLroxSeBt9wO59IfH2UwtPgG25Xp0gGDCpeWvJBtE0MGNhUdPNo9HR+rmh8XUK65fjq/FzR+LqEdMvx1fm5ovF1CemW46vzc0Xj6xLSLcdX5+eKxtclpFuOr87PFY2vS0i3HF+dnysaX5eQbjm+Or86RDNgUPFSkg+hbWLAwKYSPo/GLtzOJxJfH6XwNPiG2/lE4uujFJ4G33A7n0h8fZTC0+AbbucTia+PUngafMPtfCLx9VEKT4NvuJ1PJL4+SuFp8A2384nE10cpPA2+4XZ1imTAoOKlJR9E28SAgU1FN49GT+fnisbXJaRbjq/OzxWNr0tItxxfnZ8rGl+XkG45vjo/VzS+LiHdcnx1fq5ofF1CuuX46vxc0fi6hHTL8dX5uaLxdQnpluOr86tDNAMGFS8l+RDaJgYMbCrh82jswu18IvH1UQpPg2+4nU8kvj5K4WnwDbfzicTXRyk8Db7hdj6R+PoohafBN9zOJxJfH6XwNPiG2/lE4uujFJ4G33A7n0h8fZTC0+AbblenSAYMKl5a8kG0TQwY2FR082j0dH6uaHxdQrrl+Or8XNH4uoR0y/HV+bmi8XUJ6Zbjq/NzRePrEtItx1fn54rG1yWkW46vzs8Vja9LSLccX52fKxpfl5BuOb46vzpEM2BQ8VKSD6FtYsDAphI+j8Yu3M4nEl8fpfA0+Ibb+UTi66MUngbfcDufSHx9lMLT4Btu5xOJr49SeBp8w+18IvH1UQpPg2+4nU8kvj5K4WnwDbfzicTXRyk8Db7hdnWKZMCg4qUlH0TbxICBTUU3j0ZP5+eKxtclpFuOr87PFY2vS0i3HF+dnysaX5eQbjm+Oj9XNL4uId1yfHV+rmh8XUK65fjq/FzR+LqEdMvx1fm5ovF1CemW46vzq0M0AwYVLyX5ENomBgxsKuHzaOzC7Xwi8fVRCk+Db7idTyS+PkrhafANt/OJxNdHKTwNvuF2PpH4+iiFp8E33M4nEl8fpfA0+Ibb+UTi66MUngbfcDufSHx9lMLT4BtuV6dIBgwqXlryQbRNDBjYVHTzaPR0fq5ofF1CuuX46vxc0fi6hHTL8dX5uaLxdQnpluOr83NF4+sS0i3HV+fnisbXJaRbjq/OzxWNr0tItxxfnZ8rGl+XkG45vjq/OkQzYFDxUpIPoW1iwMCmEj6Pxi7czicSXx+l8DT4htv5ROLroxSeBt9wO59IfH2UwtPgG27nE4mvj1J4GnzD7Xwi8fVRCk+Db7idTyS+PkrhafANt/OJxNdHKTwNvuF2dYpkwKDipSUfRNvEgIFNRTePRk/n54rG1yWkW46vzs8Vja9LSLccX52fKxpfl5BuOb46P1c0vi4h3XJ8dX6uaHxdQrrl+Or8XNH4uoR0y/HV+bmi8XUJ6Zbjq/OrQzQDBhUvJfkQ2iYGDGwq4fNo7MLtfCLx9VEKT4NvuJ1PJL4+SuFp8A2384nE10cpPA2+4XY+kfj6KIWnwTfczicSXx+l8DT4htv5ROLroxSeBt9wO59IfH2UwtPgG25Xp0gGDCpeWvJBtE0MGNhUdPNo9HR+rmh8XUK65fjq/FzR+LqEdMvx1fm5ovF1CemW46vzc0Xj6xLSLcdX5+eKxtclpFuOr87PFY2vS0i3HF+dnysaX5eQbjm+Or86RDNgUPFSkg+hbWLAwKYSPo/GLtzOJxJfH6XwNPiG2/lE4uujFJ4G33A7n0h8fZTC0+AbbucTia+PUngafMPtfCLx9VEKT4NvuJ1PJL4+SuFp8A2384nE10cpPA2+4XZ1imTAoOKlJR9E28SAgU3FPW/F4juyZReck61Yckf22OI7O68rltyZzVh/g+zWW2/NNtvpudnMeRt0Mlpp34Oy2fMXuDMlhZcABxUvpuBE+AbTeQXi68UUnAjfYDqvQHy9mIIT4RtM5xWIrxdTcCJ8g+m8AvH1YgpOhG8wnVcgvl5MwYnwDabzCsTXiyk4Eb7BdLUJZMCg4kUlH0LbxICBTcU+79FrrsyWX31ltvT0RfYEQ+bKQIIMGjB4MATJYxEHEw8kRRJ8FXgeofh6ICmS4KvA8wjF1wNJkQRfBZ5HKL4eSIok+CrwPELx9UBSJMFXgecRiq8HkiIJvgo8j1B8PZAUSfBV4NUolAGDiheWfBBtEwMGNpX+eTJQ8MgF386WXXhO/4LAv+bscyADB4F2EsZBRYHnEYqvB5IiCb4KPI9QfD2QFEnwVeB5hOLrgaRIgq8CzyMUXw8kRRJ8FXgeofh6ICmS4KvA8wjF1wNJkQRfBZ5HKL4eSDVP0tgBg4ceeii76667sqVLl3b+rbrqqtndd9+drbPOOtn666+fyd91mORDaJsYMLCpTM97cOFx0QYKpnPNOrcukl8crLrw5N7ZvHcIcDBxACkX46sEdITj6wBSLsZXCegIx9cBpFyMrxLQEY6vA0i5GF8loCMcXweQcjG+SkBHOL4OIOVifJWAjnB8HUDKxfgqAWsS3ogBA7n3/A9/+MPsRz/6Ufab3/ymcy/6v/3tb0OLYLXVVusMHDzpSU/KNt1002yPPfbIXvjCF2bz5s0bGjfqhfJBtE0MGNhUskx+VbD0c4uy5ddeaU/Qniu/FJix/obZrB0WZDPbtxyaMW/DTJ5tsNlmm2U3X3FZ570852BYHnKrojU+d1YntnBFLOgT4KDSxxH9D3yjk/ZliG8fR/Q/8I1O2pchvn0c0f/ANzppX4b49nFE/wPf6KR9GeLbxxH9D3yjk/ZliG8fR/Q/8I1O2pchvn0c0f9ouq9cJz788MOzhQsXRrerS4a1HjC45JJLspNOOin7/ve/H8179913z975zndme+65Z7Q8NRnJh9A2MWAwqCKDBfcfedjggvacWdsvyObse2D730HW5bbGTgYRJM+iwQMZNJh7xDGFeVpXNKEzbb4TSpFkt/FNwtrNFN8uRZI3+CZh7WaKb5ciyRt8k7B2M8W3S5HkDb5JWLuZ4tulSPIG3ySs3Uzx7VIkeYNvEtZupvh2KZK8mQRf2UeZNtlkk2y33XbrDBzIIMIkTbUcMJDbDL32ta/NzjrrrGRltddee2Vnn3125xZGyVbikbGppPmkDBj0ixQNFshAwdwjj+k8uLg/YvCvYY3eMnkWguVXBwwaDDoWzRnmWxTDfH8BfP2tQlLiG6LmH4Ovv1VISnxD1Pxj8PW3CkmJb4iafwy+/lYhKfENUfOPwdffKiQlviFq/jH4+luFpMQ3RM0/pum+sn+9kxk4kF8dyADCJEy1GzCQwYJddtklu/rqq5OXj9yi5qKLLsq22GKL5OsqWkG+kpp0DBgYianbENl+WSCDBWuc5jeo5NPYyS8Olp62aODZCNyeaLosit75+BbFMt8tgK/bSJMCX42eOxZft5EmBb4aPXcsvm4jTQp8NXruWHzdRpoU+Gr03LH4uo00KfDV6Llj8XUbaVLgq9Fzx06Cr+xj0fTKV76yc7uipg8c1G7A4Oijj84+9alPFZVbJoW6wQYbZFtuuWW28cYbdx5uLA84njlzZrZ8+fJs9uzZ2cMPP5z99a9/zX7/+99nt9xyS7ZkyZLC/LbaaqvsqquuylZeeeXCNCkXFFVSBgym1e/dd9dsxZI7p2e036367pNK3yrIt9GTXxs8+J7j+9bHoEEfh/UPX19rMDOdAvg6iVQJ8FXxOYPxdRKpEuCr4nMG4+skUiXAV8XnDMbXSaRKgK+KzxmMr5NIlQBfFZ8zGF8nkSoBvio+Z3DTfWX/XJP86uDMM89s7C8OajVg8Lvf/S572tOeNlBmMiDw4he/ODv00EMzeQaB/F1mkoGD73znO9mXv/zl7Je//OVA6LHHHpudcsopA/NHMaOokjJgMKV/3xGHDTycePX2w4hnz19QqnjKNna2QQN5mPKqC08utd5JSVzWd1JcYu0nvrEk7fnga3eJNRffWJL2fPC1u8Sai28sSXs++NpdYs3FN5akPR987S6x5uIbS9KeD752l1hz8Y0lac8HX7tLrLmT4Cv76DvJwIHcqqhpD0iu1YDBu971rux973tfX5k9+9nPzr761a92HkTRtyDgjxUrVnR+vfCOd7wje+CBB7o5rL322p1fIcyZM6c7b1RviiopAwb2WxFpLtqXbfSWfm5RtvT0RX1VIWSwoi+DBv9R1rfBFEl2Dd8krN1M8e1SJHmDbxLWbqb4dimSvME3CWs3U3y7FEne4JuEtZspvl2KJG/wTcLazRTfLkWSN/gmG4zpnQAANJlJREFUYe1mim+XIsmbpvvK/pWdzHMOZOBg0003LRteufS1GjCYP39+du2113YRt9lmm86zDGbNmtWdF+PNN7/5zeyQQw7py+rb3/52duCBB/bNG8UfRZWUAYMsy/+6oMwzC/JlF9LYyTMNHlh4fN8vHDTbkN+mJv0d4tuk/U+9L/imFcYX37QCaXOn/uKbViBt7tRffNMKpM2d+otvWoG0uVN/8U0rkDZ36i++WgGpQ6GTGTiQXx3U+TkHtRoweOITn5j95S9/6ZbZpZde2rkFUXdGxDcHH3xw9q1vfaub4wknnJC9973v7f49qjdFlXTSBwxstwTSfrs/5KDy6DVXZvkHLmu3Y1R1a9TrCfEd9TbWeX34pi09fPFNK5A2d+ovvmkF0uZO/cU3rUDa3Km/+KYVSJs79RfftAJpc6f+4qsRkPoTY6rzA5JrM2Dw2GOPZSuttFImtw2SSR5evHTp0s7DjGMUYj6P008/PTviiCO6s1/zmtdk//Vf/9X9e1RviirppA8YPLjwuGzZhed0i0FzKyLJRHMwib0t3Z1q0BuNb4MYku0KvsloOxnji29agbS5U3/xTSuQNnfqL75pBdLmTv3FN61A2typv/imFUibO/UXX62A1KGYUx0fkFybAYOHHnqo72HGG2ywQXbHHXfELL++vC655JLs+c9/fnfe3nvvnV144YXdv0f1pqiSTvqAwd07/FNfEax1/o+yGfM27JtX9o/Qg4rcmuje/Xbrrm7G+htka13w4+7fvJkSCPXFz08AXz+n0FT4hsr5xeHr5xSaCt9QOb84fP2cQlPhGyrnF4evn1NoKnxD5fzi8PVzCk2Fb6icXxy+fk6hqfANlfOLa7qv7F+KqU4PSK7NgIEU1Oqrr959GLE8gFh+YZCqED/zmc9kb3jDG7r1Y//998/OO++87t+jelO0f5M8YGC7DdA6V9+sKhJtY5d/ngK3JeovDq1vf278lRfANy8S929843rmc8M3LxL3b3zjeuZzwzcvEvdvfON65nPDNy8S929843rmc8M3LxL3b3zjeuZzwzcvEvdvfON65nObBF/Zx5RTHZ5zUKsBgy233DK78cYbu2X2P//zP9k///M/d/+O+eawww7Lzj777G6Wr3vd6zIZRBj1VFRJJ3nAIH8LoLmvPSabe+Qx6qLRNHr5Zypob5Gk3pkKZqDxreDuVG6T8E1bJPjim1Ygbe7UX3zTCqTNnfqLb1qBtLlTf/FNK5A2d+ovvmkF0uZO/cVXIyD1ZxRTlQcOajVgcOCBB2bnnntut8y22Wab7OKLL87WW2+97rwYb/74xz9m2223XXbvvfd2s5MHHsuDj0c9FVVSBgymn1+w6rtPyubse5CqaLQHEwYMhvNrfYfnzlJ809YBfPFNK5A2d+ovvmkF0uZO/cU3rUDa3Km/+KYVSJs79RfftAJpc6f+4qsVkDo06mnXXXfNFi5cmO22226jXrV1fbUaMDjnnHOygw7qvzA8b9687Gtf+1r2vOc9z7qDZWded9112aGHHprdcMMNfaFXXnlltuOOO/bNG8UfRZV0kgcM7t1312zFkju7/DGeXyCZaQ4q+dskzdp+QbbGaWd1t5E3Ol/83AKa+uvOnRT4pq0D+OKbViBt7tRffNMKpM2d+otvWoG0uVN/8U0rkDZ36i++aQXS5t70+iv7N65JfnUgAweHH374uDahs95aDRg88sgj2WabbZYtXry4D23mzJnZkUce2bk90S677JKtueaafctdfzz88MPZ5Zdfnp1xxhnZN77xjezRRx/tC9l8882zm2/W3SO/L8MSf4yzkpbYzJEmvW6rTbKNVprVXed219+a3fbI8u7f43izcXt7ftneLjPd3t6ebdvbxYQAAggggAACCCCAAAIIIIAAAggggAACCJQVGNcXxms1YCCol156afaCF7wgW7FihdV4xowZ2fbbb5/J7YrWWGON7j95YLIgL1u2LHvooYeyP//5z52Bh5tuuim7/vrrBwYJejOXXzYccMABvbNG9p4Bg0Hqu+Zv3jdz3Wtu6ft7XH9UdbvG5cF6EUAAAQQQQAABBBBAAAEEEEAAAQQQQCBMYFzPOajdgIHwfuxjH8ve9ra3dQYAwrj9o97whjdkn/rUp/wDIqdkwGAQtIq/MJCtZMBgsKyYgwACCCCAAAIIIIAAAggggAACCCCAAALhAjJwcOaZZ47sGQe1HDAQ3u9+97vZy1/+8r4HE4ezD0bKLxVOPPHE7D//8z8797YfTDGaOQwYDDqf/5QNsueuvnJ3wX43Ls4uv39p9+9xvHnu6nOz858yr7vqy+9/ONvvxunnLHQX8AYBBBBAAAEEEEAAAQQQQAABBBBAAAEEEPAQeOUrX9l5rsGmm27qkTpOktoOGMju33PPPdmiRYs6/+6+++4oIjJQIA9WPv7447P58+dHyVOTCQMGg3oMGAyaMAcBBBBAAAEEEEAAAQQQQAABBBBAAAEE6i8gvyiQBx/LA5DHMdV6wMCAyXMJfvrTn2YXX3xx9rOf/SxbsmRJ5xkFDzzwgElS+LryyitnUgjPetazst13373zfISNNtqoMP2oFzBgMCj+qU3Xyw5dd/Xugq/ddX921B//0v17HG/y23Ty4nuyk5bEGcQax/6wTgQQQAABBBBAAAEEEEAAAQQQQAABBBAYvcC4HnZs9rQRAwZmZ/Kv8nDjP/3pT53Bg7/97W+dxXPnzs3k3yqrrJLNmzcvW2+99cZ6y6H8NvO3W2DZBd/OHnzP8d2EM9bfIFvrgh93/x7Hm3v33TVbsWT6FkSrvvukbM6+B41jU1gnAggggAACCCCAAAIIIIAAAggggAACCAQIjOPL27vuumvnFwXyq4IqTI0eMKgCMNsQX2DF4juye/fbrS/j1T93VjZ7/oK+eaP6w7Y961x986hWz3oQQAABBBBAAAEEEEAAAQQQQAABBBBAIILAKAcMxvF8Ah8iBgx8lEhTOYH7jjgsW37tld3tmrPPgdmqC0/u/j3KN1XallHuN+tCAAEEEEAAAQQQQAABBBBAAAEEEECgSQKjGDCQgYIzzzyzsmwMGFS2aNiwYQL52xJJ2nH8yuDRa67M7j/ysL5NHcd29G0AfyCAAAIIIIAAAggggAACCCCAAAIIIIBAaYFUAwbjfpBxGQgGDMpokbZSAvlv9s/afkG2xmlnjXQbq7ANI91hVoYAAggggAACCCCAAAIIIIAAAggggEBDBWIPGFTt+QQ+xcaAgY8SaSopYPt2/9zXHpPNPfKYkWxvfrBAVsqvC0ZCz0oQQAABBBBAAAEEEEAAAQQQQAABBBCILhBrwKCOAwUGkwEDI8FrLQUeXHhctuzCc/q2fRSDBrbBinE+R6EPgD8QQAABBBBAAAEEEEAAAQQQQAABBBBAoLSAdsCgqg8yLgPBgEEZLdJWTmDF4juy+9rPEFix5M7uts1Yf4Nszj4HJfulgW2wQNa51gU/7m4DbxBAAAEEEEAAAQQQQAABBBBAAAEEEECgXgKhAwbvfve7s4ULF9ZrZwu2lgGDAhhm10dABg3u3W+3gQ1O8Y1/222IZMXcimiAnxkIIIAAAggggAACCCCAAAIIIIAAAgjUSqDMgEGdHmRcphAYMCijRdrKCti+9S8bK9/8X3Xhydns+QtU2y75y+2Pen/JYDJksMBI8IoAAggggAACCCCAAAIIIIAAAggggEB9BXwGDOr8fAKfkmHAwEeJNLUQKBo0kI2ftf2Czi2Kyg4cSJ5LP7coW37tlVYDBgusLMxEAAEEEEAAAQQQQAABBBBAAAEEEECgdgLDBgxkoEBuO7TbbrvVbr/KbDADBmW0SFt5AdszDXo3Wn5xIIMGK+17UGf2zPbfM+Zt2HkvsY+1n4Ugr8vbAwX5hyn35iMDEKstPKkb27uM9wgggAACCCCAAAIIIIAAAggggAACCCBQPwHbgEETHmRcpiQYMCijRdpaCMgF/6WnLRp6wV+zIymejaDZHmIRQAABBBBAAAEEEEAAAQQQQAABBBBAQC/QO2AgAwVnnnmmPtOa5cCAQc0KjM31F5CBgwcWHl94OyH/nKZS8quCsmKkRwABBBBAAAEEEEAAAQQQQAABBBBAoD4Cm266aXb44Yd3bj1Un62Ou6UMGMT1JLcKCpiBA9m0omcRFG22uYXR3COO4fZDRUjMRwABBBBAAAEEEEAAAQQQQAABBBBAAIFGCDBg0IhiZCd8BWTwQB5kLM8oeGxx+3kFS+5o/7uzEy6DAzPW3zCbOW/qddYOCzrPO/DNm3QIIIAAAggggAACCCCAAAIIIIAAAggggECdBRgwqHPpse0IIIAAAggggAACCCCAAAIIIIAAAggggAACCEQSYMAgEiTZIIAAAggggAACCCCAAAIIIIAAAggggAACCCBQZwEGDOpcemw7AggggAACCCCAAAIIIIAAAggggAACCCCAAAKRBBgwiAQ5qmwefPDB7Pbbb88WL16c3XPPPdnaa6+drb/++tnGG2+crbrqqqPajEasR/yWLVuWrbLKKtkaa6zRiH2qwk48/PDDnTp65513ZnfffXe2wQYbZE972tMwjlw40hbccccdnbZAnKUd2GKLLbInPOEJkdc0Odm1Wq3s0UcfzWbPnp097nGPm5wdZ08bJ7BkyZLshhtuyKSdkOObtA9PfvKTsxkzZjRuX9mh5gr86U9/ym666absr3/9azZv3rzsn/7pn7LHP/7xzd3hMezZH//4x0ycxVgmaSc233zzbOWVVx7D1lRrlan6CfTliss5lblZY+r8zXrq9BrbhH7g8NKP7S1rm8Q+YQrHopKjfzglM0rzorJg/hgE2h8ApooLrFixovXNb36ztc8++7RmzZrValeTgX8rrbRSa//992+dd955Fd+b8W/eVVdd1dpuu+36DI866qjxb1iNt+D+++9vffrTn27ttdderTlz5vTZmvraHjho7b333q1rr722xns63k1vd+hbJ598cmvnnXduzZw50+q85pprtnbffffW5ZdfPt6NrdHaTzvttNZGG23Uag8SdEzldd11120dccQRNdqL8W5qu7PSOQaJY8i/Y489drw7UPO1//a3v2295jWvae24446t9gCBtW1oD4532uALL7yw5nubdvOPPvrooDpsq/dbbbVV67bbbku7wQ3K/aGHHmq9//3vb2277bat1VZbzVqPpX4vWLCgc17coF0f6a60Bwhact7b/rKR1ViOgZtttlnr1FNPbbW/WDPSbavCylL0E+jLDS/ZFOa9a0ydf++66vI+pgn9QHepx/SWtU1qnzC247CSo384pRPLnL7isNpW3WVZdTeNLRMBOal/4QtfaD2hNxdi86//+q//2mqPAAKYE3jggQdab3nLW1rtb1gOeB544IG51PzpI7B8+fLWSSed1FpnnXUGTPP10vwtF7qlHOTkkslPQDrsJ5xwQuEFFGObfz300EM7J5R+a5nMVDfeeGNLBlzzdvL3euutN5koAXt9wQUXWA1trrZ5MqDIVF6g/eui1pve9KbCLxPYrOViYPuXiuVXNiERZY5nNt/8vK9//esTIqfbzTPOOKO14YYblmpHZIDs6quv1q14wqLPPffcVvuXiN7O7V8ctH784x9PhFKqfgJ9ueLqk8rcrDF1/mY9dXqNaUI/0F3yMb1lbZPaJ4zt6Co5+oetVmxz+oquWlfN5QwYVLNcOlvVvqVA6c6T6ag+5znPaT3yyCMV3rvRbtpFF13U2nTTTQs7SAwYhJXHi1/84kJTUxeLXv/lX/4lbKUTGKVx3m+//SZQzH+XpR4W1VEGDPwdv/SlLxU6Fvn2zpcLhUzlBK688srOL2F6HX3f/+IXvyi3sglK3b7Vo6ou58vgO9/5zgTphe3qJz7xiWDzJz7xia0///nPYSueoCi5sPfqV786yHmttdZq/e53v2u0Vqp+An254mqTytysMXX+Zj11eo1toumfTEI/MLa31DWNeV37hCkcXZ/bSe8fpjCnr+iqddVczoBBNculc7H/uc99rvXEXn4mfMghh7Re+cpXtnbZZZfCb8e+8Y1vrOjejW6z/va3v7Ve8YpXWB17O/UMGJQvExmQMrdw6bWU9zK/fb/hVvseuEPt5cDBNFxAfsZuu/3Q3LlzW9tvv32nLXjBC17Qkosm+XIwf3/xi18cvpIJXSoX8oyR7ZUBA/+KoT0JPOigg/xXRspW+xkxnTbWVm+f9KQntQ477LDWcccd1zr++ONbr3rVq1pbb71136/rfvnLX6JYILDnnnsObRds5sPmcQuoAuh/zL7++uut5wpyez2pu+973/taH/rQh1qvf/3rC7/4MQkXnoYrupd+9rOftdbr9vPPOn0JuRXXwQcf3Lkdl60+t58f0brvvvvcK6pZipT9BDlPpi83WCFSmsvaUuc/uEfVn5PChH5gcbmn8Ja1TVqfMJVjcclNLZnk/mFKc/qKrppXzeUMGFSzXFof//jHB07s5VY6p59+eku+JdQ7tR9s2LJ1cOUi4+9///vepBP1Xp774PuzawYMylcNuddwb6dSBgfkHtryrVdZJpPU1WuuuaYlv3jpTWvey33i2w/HKr/yCYpoP4S3z+6pT31qSzr+ch/A3knSye2hbIM07YdO9yblfVtg6dKlLbnVgqmLtlcGDPyrSv4kcP78+S25KO37j3bA31rqrtyKJV9n5cLf2Wef3ZK2wDbJN13lfqwnnngiv0C0Af1jnvwEW45jZf/Jc2PyZSK3O7vrrruGrI1FtvNXuZ2ezU1uxSDHubyz/C23D2CyC9x7773W82F57pQsy08f/ehHrcbyTIMmTan7CfTlBmtLavPU+Q/uUfXnpDKhH2gv+1TesrZJ6hOmdLSX3NTcSe4fpjanrzis5lV3GQMGFSwbGbGXh+flO0Tvec97CrdWDtrPeMYzBmLkG0OTOC1evLjv25TGUgYQPv/5zw90nBgwCKsl5qGEL3vZy1piXjTJwMEBBxwwUD+lXPima5Ha9Hy5p7b8k85nfsBwOtXUO+nQm/puXuVh6VyQ7Zd673vf2+ckAy3yU11jJq8MGPSbDfsrfxL4ohe9aFhylikE8nVX6qrcRueKK65Q5EqoVkCeVdDbfsh7OTYyFQvItyVXX331Pjc5l5UO+7BJHkift5aOLpNdQB4qn/eSX3UNO5/49Kc/PRCz5ZZbdr7hal9Lveam7ifQlxusD6nNU+c/uEfVn5PahH5gfx1I7S1rm4Q+4Sgc+0tu+q/8Ofak9A9HYU5fcbqe1ekdAwYVLC1bp1NuOfLYY48N3Vp58Fu+QzCpF7zkW+29FvJri6OOOqr7MGhx6V3OgMHQqlW48Oc//3lLbifgM8lDNldZZZU+dykDOXgwDRf461//2nnw0PBUU0vlAoBtwPG6667zCZ+INH/84x9bckun3jZAHir95je/uW/epLafIZWAk8AQtfIx8u0yud1bb92VX2r9+te/Lp8ZEVEFFixY0FcuUkbyKwWmYgH5VUBvXZb3H/jAB4oD/rHEdr4rbTiTXSD/azo5J7755pvtiXvmbrXVVgPl88Mf/rAnRX3fpu4n0JcbrBupzVPnP7hH1Z+T2oR+YH8dSO0ta5uEPuEoHPtLbuqvSe4fjsKcvqKt1lV/HgMGFSwjuWdrvgN11VVXeW3pM5/5zIHY3/zmN16xTUr0f//3f10HuX9o/mIpAwbjKe3dd9+9Wy6mjr/97W8fz8Y0eK177733gPN///d/N3iPy+2aDBCa+ievm2yySec2WgwYlHPsTc1JYK9Guve2i1ALFy5Mt0Jy9hK47LLL+toUaVd22mknr9hJTvTd7353wO2MM85wkshDjnvbcHn/zne+0xk3iQnk14X55yC95CUv8aL44Ac/OOAstzRrwpS6n0BfbrCWpDZPnf/gHlV/TtVMmt4PrJq31NA69gnH5TjJ/cNRmNNXrP4xw7aFDBjYVMY8b4MNNug7QZcHvw372XDv5srD4fKdqM985jO9SSbivfwa48Mf/nDr/PPPt+4vAwZWluQz5RkH+fpJJz8++2677TbgzDeQp5wvvvjiAZtvf/vbnYUMGITXRU4Cw+3KRO6xxx599Xf27NkteTYB03gF8p1MOc599atfHe9G1WDt+W+0iZs8qNs1/ehHP+r7HEjcWWed5QqbyOXypaH8edf73/9+Lwv5tuXjHve4vnjfwQavFYwxUep+An25wcJNbZ46/8E9qv6cqpk0vR9YNW+poXXsE47DcdL7h6Mwp69Y/WOGbQsZMLCpjHGePOQtf2K/zz77eG/RRRddNBD/1re+1Tt+UhIyYDCekpYHGebr96JFi8azMQ1dq9wTeq211hpwzj8kuaG7P3S35J7C8tDo3joot3szEwMGRqL8KyeB5c3KRsjtiPIPNX/pS19aNhvSRxaQW7vMmDGjr12Ri4VFD5+OvPpaZyfHpfwFafmSzB133DF0v+Rhvb3tuLz/3e9+NzRmUheec845A1Zf/vKXvTnkuQW91ltssYV3bJ0TavoJ9OXCSl5j7rPG1Pn7bEPV0ozaZNL7gaP2bmqfMLYj/UN3yxTDnL6i27mKKRgwqFip9P4cyJygf+QjH/Heyj/84Q99J/aShzzYjKlfIEaj158jf/kIbL/99gP1U26xwRRP4JOf/OSA8dZbbx1vBTXO6ZRTTumzkW9n//a3v+3uEQMGXYrSbzgJLE1WOkB+JWTOC8zrueeeWzofAuIKHHPMMQPl4vsN7rhbUs/cbLeoeM5zntO5T7Ntj0499dQB76Z86922v9p58gs6016Y189+9rPe2coD7E2cvMrtjSZh0vQT6MuF1RCNuc8aU+fvsw1VSzNqk0nvB47au6l9wtiO9A/dLVMMc/qKbucqpmDAoGKlIg8T6z0xl/dlLgjIz4ny30B81rOeVbG9HP/mxGj0xr8X9dqCW265ZaBuyzcL5SfvTHEE5AGb+c+/tCHf+MY34qygxrksXry4tfrqq/fVwWOPPbZvjxgw6OMo9UfRSaAck+SbO7631Su10glLfOaZZ/bVX/ls5x86L9ZS1+WC1d133z1hQqPf3Xvuuae12mqr9ZWLtMHyUEImPwF5gHH+VwZStzfddNO+h0ZLW/Lud7+7z1rSrbrqqi15eDKTXcD2gOh3vOMd9sSWuUceeeSA+ST8YlHTT6AvZ6lIHrM05h7Zt1Ln77MNVUszShP6ga2R1sEm9wlj1lv6h36tUgxz+op+1lVLxYBBxUrE9kDDSy65pNRWbrzxxn0n9/JzYqZ+gRiNXn+O/OUSkG9cSue+9588kJpJL3Dbbbe1jjjiiIEHG4r1rrvu2pKfpE76dNhhh/XVvfXXX79133339bEwYNDHUeqP/Emg1L2VVlqpay7fSt1ss81ae+65Z6eunnzyya1bb7211DomPbEMcPW2n/L+/vvvb/3kJz9pveENb2g985nPHLjw+sQnPrFz/9rXv/71rV/84heTThh9/0866aSBMpF7NDOVE3jPe94z4Cj1WwYSDj/88JY8HHnHHXccSCODBT/+8Y/LrWzCUttuj/P0pz/d+7zgbW9724C7PHS66ZOmn0BfLqx2aMx91pg6f59tqFqaUZrQDxzNgMEk9Alj1lv6h36tUgxz+op+1lVLxYBBxUpE7ueevyBQtpOfv0e3DCAw9QvEaPT6c+SvYQLyLcy8udRz+akkk7+A/NroxS9+cWv//fdv7bfffi359ZDteQWmDZHnnzz00EP+K2hoyp/+9KcD7epXvvKVgb1lwGCAxHuG7STQ1MOiV/kmtlwE55vwfsyvfvWrB+rxM57xjIF5Rd6zZs1qnXDCCZ1ffPitkVTDBOTXHBtuuOGAPw+YH6ZWvOxDH/rQgGVRXZb58pwIGSxjcgusscYaA7Y+vzyUX4bJuUa+HOS5HU2f8ues8mBz34m+nK9UfzqNeX9O9r9S529fa7XnjsqEfuBUPYjpPcl9wliO9A/926cY5vQV/b2rlJIBgyqVRntb3vnOdw6cmN9www2ltjJ/f8AnPOEJpeInIXGMRm8SnGLto3z7Nd/hnDdvXuvvf/97rFVMRD677LLLgGPeVf5+/OMf3zr77LN56Ga7VsgFj2222abPbeedd7bWFwYMrCxeM7/2ta/1GdvqZdG8tddeu3XppZd6rWeSE8l92osMy8zfaaeduEVUhIp01llnDZSH3I+fKVzgoosuam2++eYDrvn6fcghh3D+UIL5TW9604DpKqus0vrc5z5nzUUe2C23QJMHHOft5QHfcguHpk+afgJ9ubDaoTH3WWPq/H22oWppRmVCP3Cq5GN6T3KfMIYj/cNyrVEMc/qK5cyrkpoBg6qUxD+2w3ZAlZ+WlZnyvzCQzhdTv0CMRq8/R/4qEpBfyEgHM9/pPO+884pCmF8g8OxnP3vAMe9q/pZBA7n38L333luQ22TMzj/wS26Nc91111l3ngEDK4vXTHkWidzmSeqffJtV7j8uAzXyKxh533t7IlNHe18llvu+D6fea6+9hn7+5V76e+yxR+ulL31p64UvfGFro402Kkz/+c9/fvjKWOoUmD9//oAvxzUn29AEcqHadpun3rZC3q+77rqtT3ziEwyKD9WcXviXv/xl4FkbxlT6DDIAc9xxx7X+7d/+rbVgwYLWmmuuOVC3TXp5nYTbyWn6CfTlputemXcac5/1pM7fZxuqlmYUJvQDp0s9pvck9wljONI/nK6XPu9imNNX9JGuXhoGDCpWJsccc8zASfrvf//7UluZP4BssskmpeInIXGMRm8SnLT7KPfXftrTnjZQpw8++GBt1hMZb7uXcG8n3vZeLhrKA/gmcZIL0PLt9V6Xo446qpCCAYNCGq8F8qyMoocbyzL5VuoHP/jB7sBCb7nIe7nVFlOxgDzzJW8m93iXXx784Ac/sF48/dnPfmb9xrbcSmfp0qXFK2PJUAG5b36+LJ785Ce35MG8TGECcnshubd+3nXY31tttVWr7Dly2NbVP6rsLZ+GuU/CFxE0/QT6cmGfF425zxpT5++zDVVLk9qEfmB/icf0nuQ+odaR/mF/vfT5S2tu1kFf0UjU55UBg4qV1fHHHz/QWfrtb39baiu32267vjzkG55M/QKxGr3+XPmrV0AOCLZbaKyzzjqtP/3pT71JeV9CQB7UK7dykn+3335767LLLmvJ/fiPPvroltxiwNbJnzt3bqvsrc1KbFJlk772ta/t85BfXQy7Xz4DBqMpymXLlrUOOuigvrIx9faaa64ZzUbUcC277bZbn5k88PWqq65y7om0FXJrQmNsXs8//3xnLAnsArb7un/sYx+zJ2auU0BufzN79uyBOirnCyeeeGLrjW98Y+GvlKRuX3HFFc51kKDVOuecc6xtgWkT8q8yIGmbJ+d3TZ80/QT6cmG1Q2Pus8bU+ftsQ9XSpDShHzhY2rG9J7VPqHWkfzhYN11ztOau/PPL6SvmRcb3NwMG47O3rnnhwoUDJ+c+FwR6M8vfkmjvvffuXcz7tsCoG71JRLd1mOR2MBdffPEkcoxkn+W2A7Z7FUuH/znPec5EffvV9hPo0047bWg5MGAwlCfqQrmIbbs/NrfKKWaWh5j3Xrwr83yiD3zgA32xks+pp55avDKWFArceOONA7fZW3311bmnfqHY8AUf/ehHB+qm1E+5pV7vAK/8lF1+ndj7GTDvZbD8lltuGb4ilnYE5DzhiCOO6Dw02vj1vsqtzbbddtuWfEte6vphhx3WZy6/2puESdNPoC8XVkM05j5rTJ2/zzZULU1KE/qBg6Wd0ju/tib3CTWO9A/zNcXvb4253xoGU9FXHDQZxxwGDMahPmSdH/7wh/tOzOUk/jvf+c6QiMFF0nHtPfl/1ateNZhowueMo9GbJPKPf/zjfXXQ1MdFixZNEsPY9vV1r3ud1X+Sbk0kDx819U5ed9hhB+eACQMGo62yn/nMZ/rKSMpJvknMZBc49NBD+7zkFwa+k/zCqPfzIO9lcJGpvIDt/uTU2/KOEvG73/1u4JcD8ryT008/vTBDGVS0/ZruBS94QWEMC+wC8ow0+VXX97///c6vFZcsWTKQUB6S3tt2yIM2J2HS9BPoy4XVEI25zxpT5++zDVVLk8qEfqC9pFN529c2NbeJfUKNI/3DYbWleJnGvDhX9xL6im6j1CkYMEgtXDL/r3/9630n5nKSLh8U30nuydZ7Yi/vZYSfqV9gXI1e/1Y0868vfelLLdvP2N/61rc2c4cruFfy4Eh52Hm+LZBO7CRM8q3U/L7L31tuueXQf3PmzBmI642RX2txj/J4Nejyyy8f8OYXccW+r3nNawa85OfoPtODDz44EHv44Yf7hJKmR+Cuu+4auFgtxzv5JjZTeQG5yJ9vq33OeS+66CLreQa3JipfBq6I/O3M5L7ZkzBp+gn05cJqiMbcZ42p8/fZhqqlSWFCP7C4lFN4F69takkT+4ShjvQPXbWleHmoeXGOfkvoK/o5pUzFgEFK3YC8f/7znw90noY9pDO/Cuks5TtfH/nIR/LJJv7vcTV6TYc/99xzW7NmzRqog69+9aubvuuV2z/5ZVG+LZiUcpCLd/l9j/X3TTfdVLmyrusGiWW+XPbcc8+67k7y7T7hhBMGvH796197rVc6jHnrl7/85V6xJJoWsN3aiUGuaZ8y7x566KGW3Kawt17KrfN874//lre8pS9W8vnkJz9ZZhNI6xCQh6b3lo+8/+pXv+qIasZiTT+BvlxYHdCY+6wxdf4+21C1NLFN6AcOL+HY3sPXNr20aX3CUEf6h9N1ouy7UPOy68mnp6+YFxn93wwYjN586BptvxAo89Bi230zv/vd7w5d5yQuHFej12RreTaB7Rva8nDT5cuXN3nXK7lv73//+wc6+v/+7/9eyW2NvVFyL+v8RY5Yf//hD3+IvbkTm58cm/LlcsABB0ysh2vHv/GNbwx4ffnLX3aFdZbffPPNA7FyvsDkLyAPYJs3b96AI8/l8TfsTXn11VcPWMpxy3eyfevs2GOP9Q0nnYfAS17ykr4ykl/T3HrrrR6R9U+i6SfQlwsrf425zxpT5++zDVVLE9OEfqC7dGN6u9c2naJpfcJQR/qH03Wi7LtQ87Lryaenr5gXGf3fDBiM3ty5RrkFRu9FFPkG1uLFi51xkmC77bbri5V7wT7wwANesZOUaFyNXlONpeMu99Purbfy/kUvelHrkUceaepuV3q/ZHAgXx7y7dhJmB5++OHCBzrmTcr8vemmm7Ykb6Y4ArZva3Mv+GLb3/72twOfad9nFNlukfG1r32teGUsGRD44he/OOD/9Kc/fSAdM/wE5Jvq+fb3s5/9rF9wO5U8BDkfz60PvfmcCeXCyowZM/qMJ+nXNNp+An05ZxUbSKA1H8gwNyN1/rnV1eLPWCb0A/2KO5a339qmUzWtTxjqSP9wuk6UfRdqXnY9+fT0FfMio/+bAYPRmzvXaHs4zYknnuiMu/TSS/tO7KUjJQ92YRoUGFejN7gl9Z9z7bXXttZcc82BurfHHnu0li5dWv8drOEeyK0eNttss4Ey+d73vlfDvQnbZHnWgNy3vcy/17/+9X1m6667bl88v5QJKwtb1L333muto+eff74tOfPaAlL/8gOz0vb6PMdg++2376vbcn7wq1/9CtcSAttuu+2AYZkL3CVWNRFJf/rTnw54HnPMMd77Lsez/IDBF77wBe94EhYLyBc9DjzwwAFfeXbEpEzafgJ9ufI1RWvuWmPq/F3rr+LyGCb0A/1LNoa3/9qmUjaxT6hxpH9YtgZNpdeYh62x1aKvGCoXN44Bg7ieUXKTE/J8J2i11VZrDbsVhoyYPuUpTxmIk1sYMA0KjKPRG9yK+s+Rb7zmH4gndVfuQ8wvW+KU77ve9a6WfKtPBgR9p6OPPnqgLZBy+fOf/+ybxUSme/Ob39znJu0Ek1vgN7/5Tavsw0blVmX549w666zTko4NU7GAPIck7+b6VcYZZ5wxELPVVltxq7hi5oEll1xyyYCh1FcZkGQKExC7/DOPxHTYua5ZkwyeyRdi8p8FBsGMUPirDEC+8IUvHLB92tOeFp5pDSO1/QT6cuULXWvuWmPq/F3rr+JyrQn9wHKlqvWmTzjlrXUsV2qtFv3DVktrTl+xbK2rTnoGDKpTFn1bss022wycrG+xxRYt+bDlJ3mAizznIN9xeupTn9qSUVSmQQFtozeY4+TNueuuu1obb7zxQL2bP39+Z0R48kTS7PEznvGMrvEuu+zS+spXvlI4GHPbbbe1XvrSl3bT97YJcoGWabgAJ4TDfYqWyoUkqWtySzy5p758I6Ro+slPftKSetxbN8378847ryiM+f8QsD1MU/yOOuoo68Ni5b61ct9xY2xef/CDH2BaQkAGbY2deT3uuONK5EBSm4DtVxsyb9iF/7/97W8t2wMc11hjjZY83JtpUECeYSK/VL7wwguH3lZP+hP5W5tKfZfnU1122WWDGTd4Tox+An25chUkhvmwNabOf9i6q7pMY0I/sHyparxlbfQJp8y1jmVLjv6hfsCAvmLZWled9I+TTWmfDDJVTOCCCy7I9ttvP+tWbb755tnOO++ctb+Jlf3v//5v1j6Jz9rfyuxL237uQfb9738/a38Dq2/+JP1xxBFHZNddd511l3/xi1/0zW93hrKtt966b578Ic4f/ehHB+YzI8s+9KEPZW9/+9utFLNnz7bOL5rZvsidte8PXbR4oue3fzmU3XTTTX0G7duSZDvssEPWvu1Qtv7662ftB+x10lx11VVZ+zZQfWnlj/bATuezsPbaaw8sY8a0wFve8pbs1FNP7c5on5Bm7V9ldP/mjV3gSU96Up+TfP532mmnrP3Mh6z9kFj5YkLWvt941r4YVdgmv+ENb8g+9alP2VfA3D6B5z3veZ3jft/M9h/SVixYsCCTcwRpM372s59lv//97/PJsv333z9rD84MzGeGXaD9Dcqs3Unv1GOTQs6xxFbaVqZwgS996UvZK1/5yoEM2oNcWfsZSNmzn/3sjvHKK6+c3XnnndkNN9yQtQfNs/YvGAdivvnNb2bth/QOzGdGlp1yyilZe4CrQ9H+xXKnfW7fpiyTY5zU5T/96U9Z+x7k1nZFgqScXvGKVzSOMnU/gb7cYJVJbZ46/8E9qv6cVCb0A+1ln8pb1jZJfcKUjvaSK547Kf3DlOb0FYvrV+WXVGfsgi3JCxx//PED32hrVyiveR/72Mfy2U3U3/fff7+Xk8tz7ty5E+VWZmePPPLIKMZSBvIwWSa7gDwLwlVPhy2Xh6bLvaKZ3AJ8g8RtZEth+6XRsDqZXyb31+d5JzZZ+7wlS5a0Ntpoo6B2Qb49fOutt9ozZq5VoN2BGrBuX5i2pmVmeYH/+I//GPDNtxGuv4899tjyK56gCPl1gcuwaPn/+3//r5FSo+on0Jebrj6pzVPnP70n9XmX0oR+4GA9SOkta5uUPmFqx8GSGz5nEvqHqc3pKw6vY1Veyi2JKlw6co/W9je4WzNmzPA+0ZcHIp555pkV3qvRbNrdd9/tbVbUSZL58tBTJruA3AJjmF2ZZZtssol9JcxtXXPNNS25vVgZT5NW7kM87NYO8PYLTMIJYf8ex/lLLtaZOlfm9fGPf3zrE5/4REsesMlUTqD967lSgwZyHiG30Fm2bFm5FU146r///e8t+eJAvl4zCBuvYsitM9/0pje12r8iGHDOu+f/lod+yz2deSD98PKQWxnm7Vx/y+BimWcnDd+C6i0dVT+Bvtx02ac2T53/9J7U511KE/qBg/UgpbesbVL6hKkdB0tu+JxJ6B+mNqevOLyOVXkpAwZVLp1/bJt0TA844IDOPUSLTvDlwrY86LR9G4Ia7NFoNlEe6ljk5Tt/1113Hc3G1nAtci9cGaDytRyW7uCDD66hwOg2WS6oiPchhxwy8NChvOvqq6/eat9Kq3XxxRePbgMbsqYPfvCDffVZ7j/M5CfQvh1W5z76T37yk/sM8/VTHnLa/kl1S751OexZB35rnexUDz/8cKt9yzzrg+eNu3jLw2F/+MMfTjZW4N7ffvvtAwMG7Vs6BeZG2DCB9m1xWu94xzta8uBjU3+LXtu34mu9733vow0ZBtqzTJ7t8IEPfKDT9haZynw5f2jf7rDVvkWk9ZkoPVk24u0o+wn05aaqTGrz1PnXseKnMqEfaK8NqbzN2ialT5ja0Xj6vE5K/zC1OX1Fn9pWvTQ8w6B9hlyXqf1Nt6z9beGsfTuC7C9/+Usm94mW+0PLv/aFrc7fddkXthMBBMIF5D7O7duKdNqB9kPHsvbDHrP2Q9E7/574xCeGZ0xk1n6gZiZtrTzXRNrW9jezUSkpIM/UuP766zuWUj/bnZvO8zbk3qvy3I32ReySOZJ8mED71DK74447svaDTbNbbrml80yj9q83MmkL2g+hz9Zaa61h4SxzCLQHZjptbfubwln7gmr2hCc8wRHBYq2AtMO33XZb5588u0DaDHleRPvXiJ1/8hwfpjABeV7Br3/9685zC9qDtln7FzSdcwdpn+WYx5RWgL5cWl9yR2DSBOgTjqbE6R/GdaavGNczZW4MGKTUJW8EEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBGoiwIBBTQqKzUQAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAIKUAAwYpdckbAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAIGaCDBgUJOCYjMRQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEgpwIBBSl3yRgABBBBAAAEEEEAAAQQQQAABBBBAAAEEEECgJgIMGNSkoNhMBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQRSCjBgkFKXvBFAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQqIkAAwY1KSg2EwEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQACBlAIMGKTUJW8EEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBGoiwIBBTQqKzUQAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAIKUAAwYpdckbAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAIGaCDBgUJOCYjMRQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEgpwIBBSl3yRgABBBBAAAEEEEAAAQQQQAABBBBAAAEEEECgJgIMGNSkoNhMBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQRSC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Sequences 21: Combinatorial Summations","description":"Create the function S(n), defined by the following summation:\r\n                               \r\nThe symbol  is the combination function ('nchoosek(a,b)' in MATLAB). 'S(n)' always yields an integer value,  if 'n' is a positive integer. Present the output modulo 1234567.\r\nNOTE: S(n) may have positive or negative values. Therefore, please use the 'mod' function instead of the 'rem' function to ensure the result would be a positive modulus.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440000534057617px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 205px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eCreate the function S(n), defined by the following summation\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 66px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e                               \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"224\" height=\"60\" style=\"vertical-align: baseline;width: 224px;height: 60px\" src=\"data:image/gif;base64,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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 49px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eThe symbol \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"15\" height=\"22\" style=\"vertical-align: baseline;width: 15px;height: 22px\" src=\"data:image/gif;base64,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\" data-image-state=\"image-loaded\"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e is the combination function ('nchoosek(a,b)' in MATLAB). 'S(n)' always yields an integer value,  if 'n' is a positive integer. Present the output modulo 1234567.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eNOTE:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e S(n) may have positive or negative values. Therefore, please use the 'mod' function instead of the 'rem' function to ensure the result would be a positive modulus.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function s = S(n)\r\n    s = mod(sum(arrayfun(@(k) (-1)^k*nchoosek((10^n-1),2*k),0:(10^n-2)/2)),1234567);\r\nend","test_suite":"%%\r\nn = 1;\r\ns_correct = 16;\r\nassert(isequal(S(n),s_correct))\r\n%%\r\nn = 2;\r\ns_correct = 1057020;\r\nassert(isequal(S(n),s_correct))\r\n%%\r\nn = 3;\r\ns_correct = 915039;\r\nassert(isequal(S(n),s_correct))\r\n%%\r\nn = 4;\r\ns_correct = 254383;\r\nassert(isequal(S(n),s_correct))\r\n%%\r\nn = 5;\r\ns_correct = 401225;\r\nassert(isequal(S(n),s_correct))\r\n%%\r\nns = 6:20;\r\nss = sum(arrayfun(@(n) S(n),ns))\r\nss_correct = 7742071;\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nfiletext = fileread('S.m');\r\nnot_allowed = contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":3,"comments_count":6,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":9,"test_suite_updated_at":"2021-09-19T20:21:05.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-18T16:25:58.000Z","updated_at":"2025-12-22T16:43:13.000Z","published_at":"2021-09-18T18:10:29.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCreate the function S(n), defined by the following summation\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                               \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"60\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"224\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe symbol \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"22\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"15\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the combination function ('nchoosek(a,b)' in MATLAB). 'S(n)' always yields an integer value,  if 'n' is a positive integer. Present the output modulo 1234567.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eNOTE:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e S(n) may have positive or negative values. Therefore, please use the 'mod' function instead of the 'rem' function to ensure the result would be a positive 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