Problem 52355. ICFP2021 Hole-In-Wall: Solve Problem 47, Score=0, Figure Vertices 11, Hole Vertices 10

Created by Richard Zapor

Solve Later

{"parts":[{"partUri":"/matlab/document.xml","contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>The </w:t></w:r><w:hyperlink w:docLocation=\"https://www.icfpconference.org/\"><w:r><w:t>ICFP</w:t></w:r></w:hyperlink><w:r><w:t> held its annual 3-day contest in July 2021 with </w:t></w:r><w:hyperlink w:docLocation=\"https://icfpcontest2021.github.io/\"><w:r><w:t>Hole-In-Wall</w:t></w:r></w:hyperlink><w:r><w:t>. Contest </w:t></w:r><w:hyperlink w:docLocation=\"https://icfpcontest2021.github.io/spec-v4.1.pdf\"><w:r><w:t>Specification</w:t></w:r></w:hyperlink><w:r><w:t>.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>The contest folds the figure in Red to fit within the hole shown in light grey. A final solution is shown to aid in programming. </w:t></w:r><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"262\"/><w:attr w:name=\"width\" w:val=\"541\"/><w:attr w:name=\"verticalAlign\" w:val=\"top\"/><w:attr w:name=\"altText\" w:val=\"\"/><w:attr w:name=\"relationshipId\" w:val=\"rId1\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>This Challenge is to solve ICFP problems 47 according to the </w:t></w:r><w:hyperlink w:docLocation=\"https://icfpcontest2021.github.io/spec-v4.1.pdf\"><w:r><w:t>Specification</w:t></w:r></w:hyperlink><w:r><w:t> when given the hole vertices in hxy, original figure vertices in pxy, segment matrix mseg, and epsilon. The hxy matrix is [N+1,2] where N is number of hole vertices. A repeat of the first vertex occurs for drawing the hole.  The pxy(original) and npxy(final) matrices are [P,2] where P is the number of figure vertices. The mseg indicates connected vertices that must maintain a length as a function of epsilon from the original length. The final figure vertices must be integer thus the allowed fuzziness of segment lengths. Brute force of  problem 47 may take 180 seconds due to the 10 hole vertices.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Valid is 1) all npxy vertices on or inside the hole, hxy 2) all lengths squared of npxy segments must match the pxy segments within an allowed epsilon, abs(Lsqr(npxy,seg(i,:))/Lsqr(pxy,seg(i,:))-1)&lt;= epsilon/1000000.  Lsqr is length squared.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:hyperlink w:docLocation=\"https://www.mathworks.com/matlabcentral/cody/problems/52308\"><w:r><w:t>Score</w:t></w:r></w:hyperlink><w:r><w:t> is sum of minimum square distances to the figure from each unique hole vertex. </w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:rPr><w:b/></w:rPr><w:t>npxy=Solve_ICFP047(hxy, pxy, mseg, epsilon)</w:t></w:r><w:r><w:t>  </w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>This challenge requires a Score of zero. The npxy vertices set must contain an nchoosek(1:nP,nP-1) permutation of the hole vertices as number of figure vertices,nP, equals hole vertices, nH, plus one. One method would be to reduce the nchoosek to force the longest figure segment to fit across a pair of hole vertices.  This problem with its solution shown shows that a recursive point to available hole vertices could be a more general solution.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>The function template includes routines to read ICFP problem files and to write ICFP solution files.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>The ICFP 2021 Hole In Wall contest site has enabled a public user login to allow submissions. A login must be created to access all the problems and to submit solutions. Solutions are simple text files. Other challenges will show reading files, drawing figures, and producing submission files. To fully access the ICFP/Problems site use </w:t></w:r><w:hyperlink w:docLocation=\"https://poses.live/register\"><w:r><w:t>Register Team</w:t></w:r></w:hyperlink><w:r><w:t>. Anyone can select </w:t></w:r><w:hyperlink w:docLocation=\"https://poses.live/problems\"><w:r><w:t>Problems Page</w:t></w:r></w:hyperlink><w:r><w:t> and then click problem numbers to see the puzzles and to download problem 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","relationship":null}],"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","target":"/matlab/document.xml","relationshipId":"rId1"}]}

<div 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; "><div style="block-size: 775px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 387.5px; transform-origin: 407px 387.5px; vertical-align: baseline; "><div 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; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 14px 8.05px; transform-origin: 14px 8.05px; unicode-bidi: normal; "><span style="">The </span></span><a target='_blank' href = "https://www.icfpconference.org/"><span style=""><span style="">ICFP</span></span></a><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 146.65px 8.05px; transform-origin: 146.65px 8.05px; unicode-bidi: normal; "><span style=""> held its annual 3-day contest in July 2021 with </span></span><a target='_blank' href = "https://icfpcontest2021.github.io/"><span style=""><span style="">Hole-In-Wall</span></span></a><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 29.95px 8.05px; transform-origin: 29.95px 8.05px; unicode-bidi: normal; "><span style="">. Contest </span></span><a target='_blank' href = "https://icfpcontest2021.github.io/spec-v4.1.pdf"><span style=""><span style="">Specification</span></span></a><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.95px 8.05px; transform-origin: 1.95px 8.05px; unicode-bidi: normal; "><span style="">.</span></span></div><div style="block-size: 283px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; 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 141.5px; text-align: left; transform-origin: 384px 141.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 379.9px 8.05px; transform-origin: 379.9px 8.05px; unicode-bidi: normal; "><span style="">The contest folds the figure in Red to fit within the hole shown in light grey. A final solution is shown to aid in programming. </span></span><img class="imageNode" style="vertical-align: top;width: 541px;height: 262px" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABDoAAAILCAYAAAAJ2/yLAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAANGSSURBVHhe7J0HnNREG4dPREBERBEBERWx0ESKiCACKh8iIiqKCIqoCKICIgIiYMFKOXo7mvQqvUsv0qT33nsVAUHq+2WyGy67efe2JbuT5P/s7+G2zGSTyWyZP7NJwq8/f0MQQgih2/3lp2/o5x9b0g/ff03ffdOMWn7dmJo0/ow++fgDerr0C7R11z4aOGaqj5u276aKr1clAAAAAAAgDwg6IIQQQsWUgo7ipZ+nLTv30m+/T9E5mTZu30UvvVaVzpw5AyGEEEIIJRFBB4QQQqiYYtDxrCfo6P/7ZI+jJ1O/0ZNow7Zd9NKrb7IfsBBCCCGEMD4i6IAQQggVQwo6Rk9R7acGHZMRdEAIIYQQSiiCDgghhFARQQeEEEIIoTNE0AEhhBAqhhp0aCEHgg4IIYQQQjlF0AEhhBAqhhJ06EMOBB0QQgghhHKKoANCCCFUDBZ0bNYHHaM8IuiAEEIIIZRPBB0QQgihYshBhzfkQNABIYQQQiinCDoghBBCxZCO0TFq8g0RdEAIIYQQyimCDgghhFAxnKADMzoghBBCCOUVQQeEEEKoGNLBSHUhR79RkxB0QAghhBBKKIIOCCGEUDGkY3ToQg416NiKoANCCCGEUDYRdEAIIYSKoQcdnpCj30gEHRBCCCGEMoqgA0IIIVQMLejwBBzCvmrQsRNBB4QQQgihZCLogBBCCBWDBx17bszm6Ks6kTZsQ9ABIYQQQiibCDoghBBCxVCDDk/IgaADQgghhFBWEXRACCGEiqEEHfqQA0EHhBBCCKGcIuiAEEIIFcMLOjyux8FIIYQQQgilE0FHlHZu+SVtKZCXTma5m+a89D+2DIQQQvkNJ+joM9Ijgg4IIYQQQvlE0BGFfRp9QldSpyZKSLjhvlwPsGUhhBDKbahBhxZyeIIO/HQFQgghhFA2EXRE6LCP3qNj2e7xCTk0+9evw9aBEEIoryEFHSMneZ2oiqADQgghhFA+EXREoAg5xMwNLuQQbnyiAFsPQgjtZqcOP9OCOZNp1PD+7ONOMmjQsUMLOjwhR58RCDoghBBCCGUUQUeYip+rnM+QgQ04NK+lSkX969dl60MIoR3s0vEXmjR+GG1Y8yft27WOli+eSYltf2DLOsVwgg4RciDogBBCCKFZjhkzhr1fmNJjkBdBRxgGm8mhd13RQuwyIIRQdkcO60fLl8xSAw69Tp/VEVrQkRxy9EbQASGEEEITbNGiBWXLli3sx2BgEXSEaDghh/BymjQ0+r232WVBCKGM/ta3G82bPckQcGguWTiD2v7yHVvXCYYSdOhDjt4jJiDogBBCCGHE7t69m2rUqEEZMmQwhBkpPQaDi6AjBIOFHIEe21C4ILs8CCGUye5d29G0SaNoy4ZlbMChd/iQPuwynGDYQcdwBB0QQgghjNwPP/yQGjZsSAMGDDCEGSk9BoOLoCOIwUKOFSWLU+8vPmXLXE19M4159y12uRBCGG/bt2lNY0YNpFV/zWNDDc5F86ayy3KCIQUdIydSb+GICZjRASGEEMKoPH36tPp39OjRhjAjpcdgcBF0pGDwkOMp6tSqqVp2RuWX2DKbCuIMLBBC+Rw8oBctmj+VDTNScu/OtTRkYC92mXY3WNCxacceT8gx0hNyJCHogBBCCKEJphRmIOiITAQdAQwn5BB2btmE9uTOZSh3/aabaHz1N32WDSGE8TKpZweaOW0M7diygg0yQnH+nEnssu1uaEFHcsjhCTp2IOiAEEIIYVQi6DBfBB2M4YYcmtNeq8SW31IgL7X5qZWhPIQQxsqOiT/RhLFDaN2qhWx4EY67tq2igf17sM9jZ4MHHbt9Qo6k4eNpHYIOCCGEEEYpgg7zRdDhZ6Qhh7Djt81o16O52XoTq1Vh60AIodWKA4gu/fMPNrSI1DkzJ7DPZWdDCTr0IUcvBB0QQgghNEEEHeaLoENnNCGH5pQ3KrN1t+V7jNr90IKtAyGEVtivdxc1kNizYw0bVkTj9s0rqH+fruzz2tVQZ3SIs60keV2/BUEHhBBCCKMTQYf5IujwakbIIWz/fXPakedRdhmTq77K1oEQQjPt2rkNTZkwgjatW8KGFGY5c/pY9vntakjH6NCFHEnDxtM6BB0QQgghhNKJoEMxaMhRIrSQQ3NS1dfY5ex47BFK/K45WwdCCKO17S/f0egRv9GKZXPYYMJst2xcRn2SOrHrYkeDBh3bd/uEHL0QdEAIIYQQSqnrg47QQo4mbN1Atv2hJW3Ll4dd3tQqr7B1IIQwGsXBQRfMncIGElY6fcpodn3saMhBhzfkQNABIYQQQiinrg46rAg5NCe8XYVd5u5HclPHb0KfHQIhhCnZs3sizZgymrZtWs4GEVa7cd1i6tWjA7tudjOkoEMXciDogBBCCCGUU9cGHVaGHJpbHs/HLnv6ay+z5SGEMFQT2/1A434fRGtWzGcDiFg6ZeJIdh3tZihBhz7k6Dl0HIIOCCGEEEIJdWXQEYuQQziuRlW6liqVYfl7c+eizi2/ZOtACGEwhw5KosULp7OhQzxcv3oRde/ajl1XOxlO0NFz2DhVBB0QQgghhPLpuqAjViGH5sYnCrDP88crL7HlIYQwkH16daJZM8bRrm2r2MAhnk4aN4xdZzsZLOjYKIKO4ckhh3Atgo6Q3bRpE02YMIFWrFjBPg4hhBA6STHsC3YdWqergo5QQo7OJoYcwjHvVqMrqVMbnmv/g/dT1+ZfsHUghFBv546/qEHChjV/siGDDIqf0HTt9Cu7/nYxpKBj2Lgb4qcroTty5EgqUaIENWzYkMqUKUNt2rRhy0EIIYROUgz9uL/Qel0TdAQLOVaKkKOluSGH5voiT7DPOevlF9nyEEKoOXJYP1q+ZBYbLsjm+DGD2W2wi6H9dCU55Og5dCyCjhA8deoUFSpUiFavXq3e3rNnDxUsWJDWr19vKAshhBA6Tf0QkHscWqMrgo7gIUcxy0IO4eha1elS2jSG5z14/33Uo9nnbB0Iobv9rW83mjd7EhsoyOrKZXOoU+LP7PbYwVBndGghh3DtZgQdwZw8ebI6i0N/X7169ahPnz4+90EIIYRO0G/Ix8rVg+bq+KAj3iGH5tonC7PPP+elcmx5CGHkfv/Ld9SkTWuq0+4nqprYRrVm+1/os7Y/UvNfv2fryKI4qOfUSaNoy4albJggu2NGDWC3yw6GEnR4Qg6PPYaMQ9ARgkOHDqWPPvrI574vv/ySmjVr5nOf3kcffRRCCCF0hOqwT1yUv9zjbpD7rLdaRwcdsoQcwhEfvEMXb73VsA6H77uXejVpwNaBEIZm4zY/UPmO7enB7l0pbVISJfTuHdQ7e/WgIl06qQGICEa45cbSdm1aqyHBquVz2QDBLi5fPIsS2/7AbqPshhZ0eE4ri6AjdAcNGkR169b1ua9p06aq+vv0ii9FbsXN2y7Avncv2Pfuxcnbrw75tItyQ9zW44Z9L7aR+6y3WscGHTKFHJqrnyrKrsu88s+z5SGEgW3Y5kd6tnMiZe7Zgw0ywjF1UhLl6daFqiS2oR9//pZ9PisdPKAnLZo/lQ0O7Oio4f3Z7ZTdcGZ0iJCjxxD8dCUUxYFIa9eu7XOfmNHRvHlzn/v0YsDjXrDv3Qv2vXtx6vaLoZ76Vw05PH/V2977BW7Y92Ibuc96q3Vk0CFjyCEcVrsm/XvbbYb1OZo9G/X+4lO2DoTQ14/b/kRPd+lI6ZJ6saFFtIpZIa91aBuTWR5JPTrQH9PG0I4tK9jAwK4uWTiD2kowSyZcQw06PCEHgo5QnT17NpUsWdLnPhF8iABEf59eDHjcC/a9e8G+dy9O3H4xe0P9qws3tOt63LDvxTZyn/VW67igQ9aQQ1M8P7deC8qVZctDCD2KGRylOyXSHb16sgGF2ebt1oWqJ1pzutSOiT/RhDFDaN2qhWxQ4ASHD+nDbrvMhhJ06EOO7gg6QvL06dNq0DF16lT19qpVq+jxxx+nXbt2GcpqYsDjXrDv3Qv2vXtx2vZrIYcAQYdnG7nPeqt1VNARNOR4Or4hh3BI3ffpbMbbDet2POs91PfzemwdCN1urfa/WDaDI5iFu3YydXaHCACW/vkHGw44SfFTHG77ZTakoEPM6Bg6lroL1aBjO4KOEBSzOkqUKEE1atSgwoUL05gxY9hymm7/0g8AAMCecCGHHu4+p4OgI0rtEHJo/vVMcXYd/3y+NFseQrcqAoZyndrHLeTQFLM76rb9iV3HUO3XuwvNmTmB9uxYwwYDTnPvzrU0ZGAvti1kNbSgY6zHIcIxCDosEkEHAAAAu6EPOQQIOjwg6IjC0EKOL9m68XBQvQ/pTKY7DOt5Mktm6t+gLlsHQrf5ZZsf6KkuHdngIR7e16M7vR3BT1m6dm5DkyeMoE3rlrCBgJOdP2cS2yayGjzo2OUTciDosE4EHQAAAOxEKCGHAEFH7LR90GG3kENz2bMl2fVdUrYUWx5CN/ndL99R1h7d2cAhnqZKSqJ32v/CrrO/bZRtGD3iN1qxdDYbArjBXdtW0cD+Pdj2kdHQgw5PyNEdQYdlIugAAABgF/xDDgGCjmQQdESgXUMO4YDPPqLTme8yrPPpu+6kAZ9+xNaB0A22+uV7KtKlExs0yOCdvXrQu0HCjoH9u9OCuZPZwb/bFD/X4dpIRkMKOryzOUTI0X3wGFqDoMMSEXQAAACwA+GEHBpuCzsQdISpnUMOzcVlS7HrvuzZEmx5CN1g2U6JbMAgkw9070qftv3RsO49u7Wn6VNG07ZNy9lBvxvdvnkF9e/T1dBWMho06Ngmgo7kkKMbgg7LRNABAABAdriQQ4CgwxcEHWHohJBDKI7HcTLL3Yb1/yfTHepxPLg6EDrZVzq0pZuTkthwQTYf79qZvvr1e3W9E9v9QONGD6I1K+azg323O3P6WMO+ltFQgg59yIGgwzoRdAAAAJCZSEMOAYKO2Gi7oCOkkKOF/CGH5qLnS7PbIc7MwpWH0Kk2avMDpbZJyKFZoktHGjooiRYvnM4O8KHHLRuXUZ+kTux+l8lgQccGEXQM9gs6NiHosEIEHQAAAGQlUMghCDXEcFPYgaAjBIOFHKueLkZdbBRyCPt+/gkdz3qPYVvOZbydhtStxdaB0InKfFwO1vHjKdP6dTRo3zZ2cA99FT/p4fa7TIYWdIylbqpjqNsgBB1WiaADAACAjKQUcggQdBhB0BHE4CHHk7YLOTQX/K8su01idgpXHkKnKc5kYpefrCQMGUIJy5dTwt9/qx9Rb549zQ7soa8b1y2mXj06sPtfFkMNOrRZHUL8dMUaEXQAAACQDbNCDgGCDuu1RdDh5JBDmKR8kT56bzbDdv172200rHZNtg6ETvHHn7+j/F0786GCbM6dSwkHD6ofTZq3XL9OPY/uZQf30NcpE0eyfUAWQwo6cDDSmIigAwAAgEwECzkECDp4EHQE0Okhh+a8F19gt2/1U0XZ8hA6xTcS2/ChgkxOnkwJ27ZRwvXr6seSv+XP/0Nbd29gB/cw2fWrF1GPru3YfiCDIQcd3pADQYd1IugAAAAgC2aHHBpuCTsQdDC6JeQQ9mzSgA7fd69hGy/emo5GfvAOWwdCJ5i3Wxc+XJDBkSMpYdUqSjh3Tv0oSslBR3azg3vo66Rxw9h+IIMRHYwUQYclIugAAAAgA6GEHAIEHYFB0OGnm0IOzTkv/Y/d1rVPFmbLQ2h3xZlWbk3qxYcM8bR/f0pYuJASjh5VP4JCsf7fx9iBPfRVnIK3a6df2f4Qb0MNOrSQA0GHdSLoAAAAEG+sDDkECDqsVcqgw40hh7B7s8/p4P05Ddt7KW0aGl2rOlsHQjv7Woe2fNAQT6dPp4Rdu9SPnnAsfvE8O7CHRsePGcz2h3gbStChDzkQdFgngg4AAADxJNSQQxBNYOGGsANBh9egIUdxZ4YcmrMqvchu9/rCBdnyENrZQl0lOqXsmDGUsH49Jfz3n/qRE66pFMcd2sEO7KGvK5fNoU6JP7N9Ip5GFHTg9LKWiKADAABAPBABR6xCDgGCDuuUKuhwe8gh7Kp8seba4Erq1DTm3WpsHQjt6Fe/fk+ZevXgQ4dYOmgQJSxdSgknT6ofNdH49anD7MAeGh0zaiDbL+JpaD9dEaeXTT7FLIIOa0TQAQAAINaEE3BoIOgIjuuDjtBCjsZsXaf5R+WX2DbY9EQBtjyEdvTjtj/xwUMsnT2bEvbtUz9izLDi+TPsoB4aXb54FiW2/YHtG/EypKBjyNgbp5jFT1esE0EHAACAWBKPkEPD6WGHq4MOhBy+dm7ZhPbkzmVoh2upUtG4GlXZOhDazbcTf+XDh1g4cSIlbN5MCVevqh8tZlniwjl2UA95Rw3vz/aNeBla0JEcciDosE4EHQAAAGJFJCGHAEFHaLg26EDIwTvttUpse2x5PB9bHkK7WaljHA5EOmwYJaxYQQn//KN+pJjtw5f/Ywf0kHfJwhnU9tfv2P4RD0MNOrSQA0GHdSLoAAAAEAviHXIIEHRYY1yDDoQcge34bTPa9Whutl0mvF2FrQOhnSzTKZEPI6ywTx9KmD+fEg4fVj9KrPKOa1dp++717KAe8g4f0sfQN+Ilgg55RNABAADAaiINOQQIOkLHdUFHSCGH8iWTq+sWp7xRmW2bbfnyUNsfWrB1ILSLRbrE6IwrU6dSwo4d6kdILFy8bws7oIe8i+ZPZftHPAwl6NCHHAg6rBNBBwAAACuRJeTQcHLY4aqgAyFHaCZ+35x25FG+7DFtNKnqa2wdCO3iQ9278sGEWY4eTQlr11LCv/+qHx2xEkFHeO7duZaGDExi+0isRdAhjwg6AAAAWEU0IYcAQUd4uCboQMgRniLQ4NpJBCAiCOHqQGgHC3e1aEbHgAGU8OeflHD8uPqREWv/RNARtvPnTGb7SKwN6acrgz2nldVci6DDEhF0AAAAsAIZQw4Bgg7zjWnQESzkWF38SeqKkMNH8RMV8VMVrr3ET1u4OhDawWc7W3CMjj/+oIQ9e9SPiniY8dpV2rZ7AzuYh4HdtW01Dezfg+0nsRRBhzwi6AAAAGA20YYcAisDCaeGHY4POoKHHEURcgRwQrUqbJuJg5WKg5ZydSCU3Yod2/FhRSSOG0cJGzdSwuXL6kdEvHwIZ12J2DkzJ7D9JJaGdjDSsT6u3bwDQYcFIugAAABgJrKHHAIEHeYak6ADIUf0itPKcm037fVKbHkIZfetxF/50CIchwyhhOXLKeHvv9WPhnhb/OJ5dhAPg7t98wrq37cr21diJYIOeUTQAQAAwCzMCDkECDoiw7FBB0IOcxxX4026liqVof325M5FnVs2YetAKLO12/3MhxehOncuJRw4oH4kyGKlc3+zg3gYmjOnj2X7SqyMJOjAwUitEUEHAAAAM7BLyCFA0GGulgYdQUOOp4oi5AjDTU8UYNtxRuWKbHkIZfbLNj/Q7b168SFGSk6eTAlbt1LC9evqx4FMNjt1hB3Aw9DcsnEZ9UnqxPaXWBhu0IGzrlgngg4AAADRYlbIIYhVCOHEsMNxQQdCDvMd8241upI6taEtRTujLaEdLdC1Mx9mcI4cSQmrVlHCuXPqR4CM/n5oJzuAh6E7Y8potq/EwrBndOBgpJaJoAMAAEA0mBlyCBB0RI6jgo7hH9akY9nuET2MFSFH5K4vXJBt01mVXmTLQyizlTq25UMNvf36UcLChZRw9Kj61i+rT148T3uZgTsMz03rFlNSjw5sf7HaYEHHxm27qMeQsao464q1IugAAAAQKXYNOQQIOszT9KCjc8sv2WNJaG4tkJfaKl8kubowuKNrVadLadMY2vXAAzmp+1efs3UglNX6bX+kW5KS+IBDOH06Jezapb7ly+4nfx9jB+4wfKdOHMn2F6sNNejQQg4EHdaJoAMAAEAkmB1yCGIdPjgt7HBM0LEjj/LlxG8QromQwxzXPlmYbd85Ff/HlodQZh/p3tUYcIwZQwnr11PCxYvqW70d/O3IHnbQDsN3/epF1KNrO7a/WGkoQYc+5EDQYZ0IOgAAAISLE0IOAYIOczQ96DiV+S7Rywxuz/cYQg6THPHBO3Tx1nSGNj50Xw7q2aQBWwdCWX2lg+7nK4MGUcLSpZRw8qT6Fm8Xn//3LG3Ys5EdtMPInDR+GNtfrBRBhzwi6AAAABAOVoQcAgQd0eOYoGN5qRKipxn8o/JLbHkYmeI4J1w7z3vxBbY8hLL6zS/f0aPdulDCrFmUsG+f+tZuN7sc28cO1mHkrlkxn7p2+pXtM1YZ0sFIEXTERAQdAAAAQsVJIYcAQYc5mh509GtYjy6lTSt6nI+7H8mNGR0mOqx2Tfr3ttsM7Xzk3myUpHwx5+pAKKP9eneh5n/OpYSrV9W3dbv52rm/2YE6jN7xYwazfcYqEXTII4IOAAAAoWBVyCGIZ+DgpLDDMUGHcHVxfraBOD0qVx5G5soSxdh2XvC/59jyEMqk+N/6yROG08Z1i2mPMqh95dzf6lu6ncx47SoNOLKbHaTD6F25bA51SvyZ7T9WGFLQMWSMjwg6rBFBBwAAgGA4NeQQIOiIXkuCjt/fe1v0PINrnirCloeROaTu+3Qu4+2Gdj6e7R7q0+gTtg6E8bbNL9/SqOH96a+ls30GtdMPbKfU16+rb+t28Z1/TvpsAzTfMaMGsv3ICkMLOsb6uHbzDgQdFoigAwAAQCBEwGFlyCFA0GEejgo6fv2pFe169GHRC338546M1L9BXb4OjMi/niluaGfhohfKsOUhjKcD+nenBXMmswNaYcuTh9W3dTv4v3//oQX7t7LbAc1z+eJZlNjuB7Y/mS2CDnlE0AEAAIDD6oBDIEvI4JSww1lBh+LMVyqInmhwfvnn2fIwMgfV+5DOZLrD0M4ns9xN/Rp8zNaBMNb27Naepk8ZTVs3LmcHs5p7FT86c0J9W5fZgv9doNGHdrLbAM1XzADi+pXZIuiQRwQdAAAA/IlFyCFA0GEujgs6xGlOxWDbfwB+4MH7qeO3zdg6MDKXPVvS0M7CxWVLseUhjJWJbX+gsaMH0eoV89kBLOfyfZulPl7HPVcvU1ecZSWmLlk0g9r++h3bx8wUQYc8IugAAACgx20hhwBBR3RaFnQIA51qdmK1Kmx5GJkDPv2ITme+09DOpzPfRb99VoetA6HVDhmYRIsXTGcHrsFcuXcT5b78n/r2LpPiGCK/nDjIrjO01uFD+rD9zEwRdMgjgg4AAAAasQo5BLKFC04IOxwZdAyvXZOu3HKL6J0+biz0OFseRu6SsqUM7SxcWrokWx5Cq+zTqxPNmj6Odm5dyQ5YQ1UcnLTKudPq27sMPnrpIrU/foBdV2i9i+ZPZfubmSLokEcEHQAAAARuDjkECDoi19KgQ7i1QF7RQ328cOutNFj54siVh5EpDvLK/VTozJ2ZaNAnH7J1IDTTzh1+oYnjhtL6NYvYgWokrt67iT79+xjdEuezsZS+cJaGHMZpZOPp3p1r1VlCXN8zSwQd1rlnzx6aN2+ejwcOHGDLChF0AAAAiGXIIUDQYQ2ODTqmvlFZ9FKDi597li0PI3fR86XZtl5e6mm2vN6P2/5EVRPb0Aud2lPxLh0pT7cudF+P7pS5Zw96qHtXKtKlE5XplEiVOrald9r/Qq1++d6wDOheRwztS8sWz2QHqGbY4fh+ShunsKPMv2dp854N7HrB2Dp/zmS2/5klgg7r7NatG+XNm5cKFSp0wxkzZrBlhQg6AADA3SDk8ICgI3ItDzq6KF8Uj+TILnqrj0fuzU7dmn/B1oGR2ffzT+h41nsMbX024+00pO77PmW//vV7qp74K5Xs0oHu7dGdEnr3Dsv0Sb0ob7cu9FLHdvRJ2x99lg3dY/++XWnerInq/7ZzA1MzHXdoB9X65yRlunZVfcu32mcunFN/qrJ993p2fWDs3bVtNQ38rQfbF80QQYd1fvbZZ9SvXz/2MU4EHQAA4F5iHXIIZA4U7B52ODboEP4ZYKbBtNdfYcvDyF1Qrizb1itKPKU+3uKX76lYl46UNimJDTAiNXuP7mpw4r8+0Jl279KWpk4aSZvXL2UHpFY6+PBueuPsact+zvL4fxfom5OH1AOics8P4+ucmRPYPmmGwYKOjdt2UY8hY31E0BGa5cqVo9mzZ6s/YTlx4gRbRq/4UuQvAAAA54OQw4jdgg7uM5z7rLfamAQdAz/5kC6kTy96ro9b8+dhy8PI7a18KT96bzZDW5/NkIG++Kwe3dWzBxtUmGW+rl2oRvtf2HWD9rfdr9/T7yMH0Mrlc9lBaCwdc2gnvX32FGW5ekV9+49GcTaVYhfP03cnD9GGPRvZ54NyuH3LCvqtb1e2f0Yrgg5rPHXqFOXJk4cqVKhAxYsXV683bdqULaspvhQBAABwF/EIOQQIOqzF0UGHcEPhgqL3+ngldWoa8eG7bHkYufNefMHQ1sKeZcqw4YQVisCjSZvW7PpBezrot560aN5UdvAZb0Xo0eDvY/Tg5UvqR0Eo3nbtGpU//496/I81mL1hK2dNH8v20WhF0GGNW7ZsoXr16ql/xe3t27dTqVKlqH///oaymgg6AADAXSDkSBk7hx2ODzrGv/2G6MEGlz8T/ECZkTp8SB/1KP09urZjH3eqPZs0oMP33Wto65O33UblGjVigwkrzNqjO72R2IZdR2gfO7T7kWb/MT4mx+Ewy8X7ttCEgzuo19G99MOJg9Tk1BE10Bh1eCfN3b8VszZs7u7tq6lTh5/Z/hqNoR2jY4yPazdvR9ARga1ataIGDRqwjwkRdAAAgHuIV8ghQNBhPY4POhK/+4r253rgxqD7xuA7S2ZK+rI+WycaxZdg8WVY/8V47coFtHDeFJo4bpjjA5DRlV4ytLWwT6lSbChhlbcm9aLyHdvTDz9/x64nlNc2v3xHY0YNoB1bVvoMMiGUwZnTxrD9NhqDBh1bd1K3QWN8XLMJQUcwN2zYQIMGDfK5r1mzZtSoUSOf+/Qi6AAAAHeAkCM0EHSEb8yCDuHcAD+pmFXpRbZ8NE6eMJz9cuzvtk1/qccbmDd7Ek0aP1ydBdK7Z0dKbPsDu1w7+FZiGyry80+0OHduQ1v/ky4dVWjYkA0lrPTpLh3xUxYbOWxwb1qyaAb7moFQBjetW0JJPTqw/TdSgwUd4mcqHfqN8HHVhq0IOoK4YsUK9dSyq1evVm+Ln66UKFECp5cFAACXE8+QQ4CgIza4Iujo27Ae/ZPpjhuDbs1dj+SmtsqXS65OJHZK/JlW/zWP/XIcqvoAZLI+AGkndwDyduKvlLFXTzVcaFitmqGthQNKljQEEbGwaJdO9M0v37PrDeWwb+/ONOeP8T6zoSCUVXHmH64fR2qwoEPM3mjbe6iPK9ZvQdARguLUsoUKFaIaNWqof3v06MGW00TQAQAAzibeIYfAbuGBXcMOVwQdwlXFn7wx4NY75t1qbPlIHD3iN/ZLsRnKHIB83PYnuq9HtxvBQrb27Wm++LLo19b/pklDr3z2mU8IESvLdkpk1x3G166dflVnQW1cu5jt9xDK6PrVi0z9CSKCDnlE0AEAAM4FIUdkIOgIz5gHHaPfe/vGgFvv6qeKsuUjcfHC6eyXYivVApD5IgBRBoyxDkDEz0LEmU78g4VPa9Rg23tI8eKGsrEwVVISVerYlt0GGHvb/PwtjRren/5aOpvt1xDK7qTxw9i+HYkIOuQRQQcAADgTGUIOAYKO2OGaoEO489GHbwy4Nf+5IyP1b/AxWz4cB/3WQ6qzQ8QiABEH+hTHwOCChcwdO9LsPHkM7X355pvp9Xr12DpWe0evnlQ98Vd2W2DsHNCvO82fM5nttxDaxTUr5lPXTuac3QlBhzwi6AAAAOeBkCN67Ljurgo6/nilwo0Bt9555Z9ny4ejOA0m92VYNkUAssqkAKRKYhs2UNCs8+67bHuPfPJJtnwsfLB7V2r+K47XEQ97dGtP0yePpq0bl7N9E0K7OX7MELavhyuCDnlE0AEAAM5ClpBDgKAjtrgq6OjZpAGduOfuGwNuzf0P3k8dv23G1glFcQT+LRuWsV+E7eK2zeEFIF//8j091L0rGyZo3tG5M03Pn9/Q3tcV36pbl60TCyt0dO7pfWVUnElo7OhBUR+oF0LZXLlsrnpKca7fhyOCDnlE0AEAAM4BIYd5IOgI3bgEHcJlpUrcGHDrnVCtCls+FEUwwH0JdoJsANKrI1Xq3pkNEfz9oFYttr3HFClCqXv1YutYbbYe3alRm/gfxNUNDhnYi/5cMI3tWxA6wTGjBrJ9PxwRdMgjgg4AAHAGMoUcAgQdscd1Qcew2jXp8i233Bhwa24o9DhbPphmnFLWbs4+sI3y/XOaEo4epYRt2yhhxQpKmD2bEsaNo4QBA3xChfTdutHkggUN7S2sUbu2T9lYirOwWKsIw2ZNH0s7t65k+xCETnH5kllRH/sIQYc8IugAAAB7IwIOhBzWYLftcF3QIdxSIO+NwbbmhfS30uB6H7DlU9LKU8rKaqPTR9VuznrxoiEAeffzz5UHlEf9nPjEE5Sue3c2iLDa1ElJ1OIXHKvDbMU0/onjhqqn3+T6DoROVJxBiHs9hCqCDnlE0AEAAPZFtoBDA0FHfHBl0DHljco3Btt6/3zuWbZ8SsbjlLLxdK/ikxfPe0KNEL3l8mUaV5lv81offcQGEbEQp5s11xFD+9KyxTPZfgOhk12yaAa1jeIgxwg65BFBBwAA2BOEHNaDoCM04xp0dGnRmA7nuPfGYFvzyL3ZqVvzL9g6nIN+6ynVKWVj4e+HdqpdPFzfHjFCuaJc83Pqiy/S7TuVZW7f7pkBMmcO+xMYKyzQtTO7X2F49u/TlebOmui61wKEesXxi7jXRygi6JBHBB0AAGA/ZA05BE4KOgR22h5XBh3CRc+XvjHY1jv19VfY8px2OaWsmTY7dUTt3uF60/XrNLpqVeWGcsvP2v36GetoP4GxMAC5vVcvaoKDkkZsty5taerEkbR5/VK2r0DoJhfNn8q+TkIRQYc8IugAAAB7gZAjtiDoCG7cg46Bn9Smf29LL14dPm7Nn4ct768TTikbic/9e9YTRETgG2PG0NWbb1ZuKLd0zvzf/+jO06fZOgYDBSADB7JhRjDfTGzD7l8Y2Ha/fk+/jxygnlqT6yMQulExo2nIoCT2NRNMBB3yiKADAADsg8whhwBBR3xxbdAhXF/YeDaQK6lT04gP32XL65083rmnlA3kmr2bPGFDFA6rUUO5olzzs5441SxTPmSvXaOEU6coYfduSli5khJmzaKE33+nhL592YBDs3DXTuz+hbwi4Ptr6Wy2f0DodhcvmM6+boKJoEMeEXQAAIA9QMgRP+yyba4OOsa//YZ4lRhc/szTbHlNcWYJt51SVhjp8Tn0Vp44kS6mS6fcUG7pnPvcc3TPsWNsnagMMgPkoe5d2X0MfR08oCfNnz2Jdm1bzfYNCOE62rV9NQ36rQf7GkpJBB3yiKADAADkR/aQQ4CgI/64OuhI/O4r2pfrAfFq8fFklsyU9GV9to7QjaeUFfY8utcTHkTpwFq1lCvKNT/rd+vGlrdEEYAcO0b3b95IkyeMUM8Y0qdXJ+rQ7kd2n7tVLeDYrQzguD4BIfR17swJ7GspJRF0yCOCDgAAkBuEHPEHQUfKShF0COdWeEG8YgzOrPQiW17otlPKarY+ecgTEkRpxalT6VyGDMoN5ZbORaVK0b2HzHmOUM147Spt373hxjZu37yCVv01j+bPmUxT9AFIe3cFIIMH9FLbAAEHhOG5Y8sK+q1veDPFEHTII4IOAACQFzuEHAIEHXLg+qCjb8N6dCbTHeKV4+OuR3JTW+WLp395N55SVvOzv837aUm/2rWVK8o1P7/o2JEtb6V/7tvCbq9etwQgQwb2ogVqwLGGbQcIYXBnTR/Lvr4CiaBDHhF0AACAnCDkkAs7bKfrgw7hquJPilePwd9rVjOUdeMpZTXfOntK7dJm+L+ZM+n0nXcqN5RbOpc+/TQ9sNecn8iE6viDO9jtDUUtABHhgJ0DEC3g2LMDAQeE0bp14zLqm9SZfa1xIuiQRwQdAAAgH3YJOQQIOuQBQYfi6PfeFq8gg6ufKupTLqmnO08pq/nG2RBPARuiverVU64o1/xs2q4dW94qxx7ayW5vNPoEIBPlDUCGDEyiBXMRcEBotjOm/s6+5jgRdMgjgg4AAJALhBxygqAjsFIFHcKdjz4sXkk+/nNHRurX4OMbZSZPcN8pZfV+8vdxtUub5XNz59Kxe+5Rbii3dK4sWpRy74z+DC+hunB/8J+umKUsAcjQQUm0cO4U2rPDnT/DgtBqN61bop6OmXv9+YugQx4RdAAAgDzYKeQQuCnoEMi+vQg6vP7xykvi1WRwXvnn1cfVU8qumM9+oXWL35p0MFK93erXV64o1/xs8fPPbHmzve3aNdqyJ/lgpPFy+5YV6imLrQ5AtIDDrceZgTCWTp00kn0d+ougQx4RdAAAgBzYLeQQIOiQCwQdXns2aUAn7skiXlU+7n/wfur4bTPXnlJWb7dj+9TubKalFi2iQ/feq9xQbulc+8QTlGfLFraOmT54+T92W2XRrABk6KDetHAeAg4IY+n61YuoR9d27GtSL4IOeUTQAQAA8Qchhz1A0MErXdAhXPZsCfHKMjihWhX15wbcF1k3OfLwLrU7m23HL75QrijX/Py2dWu2vJkWu3ie3VbZFYGFGEQtmj9NDUCGDe5NvbonUptfvvPp0+I0l38tnc0uA0JovRPGDvF5TXIi6JBHBB0AABBf7BhyCBB0yAeCDp3Dateky7fcIl5hPm4v/iT7BdZtrty7Se3OZvv00qW094EHlBvKLZ2b8uWjAhs2sHXMsuL5M+y22lV9ALJy2Ry2DIQwdm7btJza/fo9+5mjiaBDHhF0AABA/EDIYT9k3nYEHX5uKZBXvMp8vHz77XR0zBD2S6zbLHnhnNqdzbZd06bKFeWanz988w1b3ix/PnGQ3U4IITTL8crnB/d5o4mgQx4RdAAAQHywa8ghQNAhJwg6/JzyRmXxSjN4pn5d9gus2/z89FG1O5tt0ZUraWfu3MoN5ZbObUoHLbx6NVsnWu+4dpVmHtjGbieEEJrlymVz1QNac585QgQd8oigAwAAYg9CDvuCoMOotEFHlxaN6XAO48ExLxXISwfxUwAaatFxOoQ/t2ihXFGu+flr8+Zs+Wgt9+8/7DZCCKHZjhk1kP3MESLokEcEHQAAEFvsHHII3B50CGRtAwQdjIueLy1edQZP/fo9+wXWTW7bvYEe/++C2p3N9om1a2lLnjzKDeWWzt25clGxv/5i60Tj16cOs9sIIYRmu3zJLEps9wP7mYOgQx4RdAAAQOxAyOEMEHT4KnXQMfCT2vTvbenFq8/Hf198gf0C6zY/PHNC7c5W2Prbb5UryjU/2zdpwpaP1NTXr9PifVvY7YMQQiscNbw/+5mDoEMeEXQAAID1iIDD7iGHAEGHBwQdvkoddAjXF3lCvAp9vJ42DR0b0of9AusmJx3cQbku/6d2abPNt2kTbShQQLmh3NK5P2dOKrl4MVsnEt8/c4LdNgghtMoli2ZQW+YMLAg65BFBBwAAWIsTAg4BQo5kEHT4Kn3QseDTj8Qr0eDZ2jXZL7Bus5FFByUVtvrxR+WKcs3Pzp9/zpYP1wcuX6IJB3ew2wUhhFY6fEhfw+cNgg55RNABAADW4ZSQQ4CgwxcZ2wNBRwDnTRxB/xV/Urwifbz8UC46NG8K+wXWTc7fv5We+O9ftUub7aPbttHqwoWVG8otnUeyZaPSCxawdcKx4emj7DZBCKHVLpo/1fB5g6BDHhF0AACANSDkcDYIOpKVOuhI6tmRtmxcRn9/9YV4VRo8/e1X7BdYt/ntyUNql7bC5r/+qlxRrvnZ/bPP2PKhWuC/CzR3/1Z2eyCE0Gr37lxLQwYl+XzmIOiQRwQdAABgPk4KOQQIOowg6EhW6qBj8oQR6hfSwzPG0RXmVLMXSz9D+7avNnyBdZu7dq+nUhfOqd3abHPt3k1/FSum3FBu6Txx9930wuzZbJ1Q7Ht0D7stEEIYKxfMmezzmYOgQx4RdAAAgLkg5HAPsrUNgg4/2/zyHW3btPzGF9Jz71YTr1CDx/t09fni6lanHtxOJSwKO75MTFSuKNf87F23Lls+mI3xkxXoAJct3kyjhu+kDu32K4PhI1Sr5kmq+NIZKlP6LL35xmlq9PlR+uXHg/Rb3z00ecJ2dhkwfm5ev5Qmjhvm87mDoEMeEXQAAIB5OC3kECDoCAyCDo/SBh2jR/zm86X0eL/u4lVq8FyNqj7l3OxvR/bQQxacheW+AwdoccmSyg3lls4zd9xBL86YwdYJZM1/TtLW3RvY9YdQZnduXU8jhu6ixo2O0rOlzlG6tNf8XxIpmjfPRXrv3ZPUrfM+WvbnZvY5oLVu3biM5s6aSMMG96b2bVsbPncQdMgjgg4AADAHhBzuA0GHR2mDjsULpxu+pF4o+2zyqMHr1ezZ6PC0MYaybvXXEwfotmvKAEzpVGb6eefOyhXlmp/9P/yQLc9Z4fwZWrR/C7veEMrqhjUb1dkZ9913iXsJRORt6a+psz+mT8FMj1j415LZNGHsUOrVPZH9vNFE0CGPCDoAACB6nBhyCBB0BEemNkLQoXPQgJ7qgeL8v6yebt0ieaSg8++mnxvKutkOx/dT6uvX1e5tltmOHKH5ZcooN5RbOs/fdhtVmjyZraO32MXztHLvJnZ9IZTRFUs3KwPdw1Qg/wX/bm+aGTNepZrvnqSxo3ey6wAjV/w0ZfYf42nIwF7U9tfv2c8afxF0yCOCDgAAiA6EHO4GQYekQYf4csp9cT20YDpdfvih5FGC1/+KFaED65awddxq92P7qOB/ygBN6Vxm+WmPHsoV5Zqfg2vWZMtrfnDmBC3dh6n60D726r6XHnzAvBkcwUyb9jp9Uu+YOnuEWx8YussWz6TxYwZTj27t2c+XlETQIY8IOgAAIHKcGnIIEHSEBoIOCYOO3t5TynJfYIX/1Hk/eXSg80SXtmx5Nzvq0E564d9/1G5uhplPnqTZL7yg3FBu6byUJg29Nn68oXyma1ep2akjtHP3enb9IJTNpYs204fvn/Dv4jGz1DPnaNBvu9l1g4HduHYxzZo+Vmm7ntTm52/Zz5ZQRNAhjwg6AAAgMhByAAGCDgmDjineU8oG8tiwfnT91nTJIwOv51+vxJZ3u5v3bKA3z5427acsdfr0Ua4o1/wcXr26T7kHL1+iwUcwYIP2cfyYHfTyS8qbYnK3jouPPHyR2v16gF1HmKz4eeOSRTNo7OhB1L1LW/bzJFwRdMgjgg4AAAgfJ4ccAgQd4SFLeyHoUOzc4WdavWI++6VW778v/S95VOD1WqY76OiYIWx5uI4GH95Nb5w7TTdTdIHHHUqnmV6hgnJDuaVv/1SpqOro0ZT/vwvU8uRh+msvfqoC7WNSz71UtMi//t06bma8/ap6dpctG3CGIn/Xr1lEf0wbQwP6d2c/R6IRQYc8IugAAIDwcHrIIUDQER4IOpgve/Hy95G+p5QN5Ml2PySPCHSeqV+XLQ+THXV4Z9TH7vjgt9+UK8o1P9e8+gpt2IWfqUB7OXnCdvUsKEyXjrt1PzrOrrPb3L19NS1eMF35jBhAXTv9yn5+mCGCDvOcPn264b5NmzbRhAkTaMWKFYbH/EXQAQAAoYOQA3Ag6GC+7MXLJcwpZTkP/jWPLhXMnzwa8HqpQF46uGwOWwcmu3vXevX4HU1OHaEy/56l9GGejjb9v//S5EqVlBvKLT9PdG7DPieEMjphzA4qWvQ815Wl8Oabr9O3rQ6x6+4G161aSNOnjKbf+nZlPzPMFkGHOXbo0IFKlizpc9/IkSOpRIkS1LBhQypTpgy1adPG53F/EXQAAEBouCHkECDoiAwZ2s31QcfgAT3ZL7qBPNOwXvJoQOepNt+z5WFgl+3bTG2PH6Ba/5ykiufPqKeCve/KJfVlIcx47So9dukilbpwTj3eR6PTR2lZt0RD2wsv/O852r9lBfs8EMqkOPCoDMfkCGa2bJepW5d97DY40Z3bVtGi+VNp9Ij+1LnjL+znhVUi6IjOffv2UePGjalQoUI+QcepU6fU+1avXq3e3rNnDxUsWJDWr19/o4y/CDoAACA4CDlAMBB0SOCcAKeUDeSR8cPo2l13Jo8GvP774gtseWiu+7eupAvlnze0v/Bk4k9sHQhlcff29XE9u0q4Pv74BRo5bBe7LU5xzYr5NHXSSOrXuwv7GRELEXREZ/PmzenHH3+kMWPG+AQdkydPVmdx6MvWq1eP+vTp43OfXvGlyF8AAADJuCXkECDoiJx4tB33Gc591lutFEGHOKXs1hROKRvI829UTh4JeL2eNi0dG9KHLQ/NVZzS17/9hReeK037Nyxl60Aog7267+W6rtQWe/I8uy12dseWFbRg7hQaOawfdUz8if18iKUIOqLz9OnT6t+pU6f6BB1Dhw6ljz766MZt4ZdffknNmjXzuU+v+FIEAACAByEHCBXM6IizwU4pG8gT3donjwJ0nq1dky0PTXbnWvq3Ynl2H5xq05qvA2GcXbF0M5UscY7rttLbvq0zTju76q956vt+n16d2M+EeImgwxz9g45BgwZR3bp1fco0bdpUVX+fXgQdAADA46aQQ4CgI3r0bXj8ONHEiURz5lz33mM9rg06xCllxZRl7stwMPdvXEb/FX8yeRTg9XLuXHRo3hS2DjTXEz06iCMmGvbBxWdL0oE1f7J1IIynLb8+7N9dbWOpZ87RquWb2O2S3W2b/qL5syfR8CF9qEO7H9nPg3iLoMMc/YMOcSDS2rVr+5QRMzrET1309+lF0AEAAEYQcoBI0NpR+XimLFmIqlcnKlaM6Nlnia5dUx+yFNcGHeJ0gdyX4lD9u/kXyaMAnae/bc6Wh+Z7vnJFdh+cUgYNXHkI4+WcP7ZSgfwXuO5qG79paa+zsKxYNocmjR9GST07sp8BMomgwxz9g47Zs2f73BaK4EMEIPr79CLoAACAZETA4baQQ4CgwxxEO1654gk55s1LnsmRLx/RqFHWz+xwbdCxZOEM9stxqB6eMY6u3Hdv8ijA68XSz9C+7WvYOtBcj/fuTNfTpjHugxJP0YEIZ+tAaIWNPj/q301tZ5YsV2j75vXs9snilg3LaO7MCTR0UG9q36Y1+94vowg6zNE/6BDH7hC3xf3i9qpVq+jxxx+nXbt23SjjL4IOAADw4MaAQ4CQw1wSJlZWZ3HEA1cGHeGeUjaQ596tljwK0Hm8T1e2PDTf81VeYffBaWXAwJWHMNbu3LqeCj3xL9dNbWeXjnKebvavJbNowtih1Kt7IvueL7sIOszRP+gQilkdJUqUoBo1alDhwoXVM7PoH/cXQQcAAIjPfOVD36Ug6DCXhP4fUDVlyFynDlG6dEQZMhC1a+d90GJcGXSEe0rZQB7v1z15BKDzXI2qbHlovsf7d6frt6U37IP/ihWlg0tns3UgjKUjhu7y75629d0aJ9ltjIeb1y+h2cp7+ZCBvajtr9+x7/V2EUGHPCLoAAC4HYQcwEwSGidS6tRESUme2+vWEWXKRPTHH57bVuK6oCPSU8oG8kLZZ5NHAV6vZs9Gh6eNYctD8z331uuGfSA83aoZWx7CWNq4kf1/tqL52KMXacOajex2xsplf86kcb8Pph5d27Hv8XYUQYc8IugAALgZN4ccAgQd5tOzp9KueTZ7b3n44AOPVuO6oGPKxMhOKRvI061bJI8CdP7d9HO2PDTfY4OS6NodGQ374L8iT9DBRX+wdSCMlc+WsucpZQPZv+8edjutdOPaxTRz+lga9FsP5X38W8P7ut1F0CGPCDoAAG4FIYe7t98qxo5V2tYv6Khd26PVuCro6Nzhl4hPKRvIQwum0+VHciePArz+V6wIHVi3hK0DzVf8XMh/Hwj/VgYMXHkIY+GyxZu5bmlr6350nN1Ws927cy0tWTSDxo4eSN26tGXf050igg55RNABAHAjbg85BAg6rOHSJaVtM5+gyZM9t48fJ8qRg2jOHJx1xVSjPaVsIP+p837yKEDnCeXLOVcemu+xYf3o6l13GvbBpYL56dD8qWwdCK12YP/d/l3S9r5Y/gy7rWa5fvUi+mPq7zSgX3f2fdyJIuiQRwQdAAC3gZBDaQOEHJaSsOBZypmTqEQJoowZiVq39j5gMa4KOqI9pWwgjw3vT9dvvTV5JOD1/OuV2PLQGs++97ZhHwj/btqQLQ+h1bZve4Drkra2SOF/2W2Nxt3bV9OfC6apYXTXTr+y799OFkGHPCLoAAC4CYQcHhB0WE882tg1QYdZp5QN5L8VyyePBLxey3QHHR0zhC0PzffoqAF09Z4shv1wKd9jdHj2RLYOhFbarMkR/+5oe3PmvMRuaySuXbWApk8ZTf37dmXft90igg55RNABAHALCDk8IOSIDQg6LNSsU8oG8mS7H5NHAjrP1K/LlofWePaDd/n98MVnbHkIrfSDWie47mhr06W7RhvXRn7mlZ1bV9GieVNp1PD+6nGTuPdrt4mgQx4RdAAA3ABCjmQQdMQGBB0WafYpZTkPrJhPlwoWSB4NeL1UIC8dXDaHrQPN9+jYIXTl3uyG/XD50Yfp8IxxbB0IrbJSxb/9u6IjnDdrK7u9KSkOBD110kjq17sL+z7tZhF0yCOCDgCA00HIkQxCjtgS6/Z2RdBh9illA3nm83rJIwGdp9p8z5aH1hjo4LBnGnzMlofQKsuUPst1Rdu7eMEWdnv93b5lBS2YO5lGDutHHRN/Yt+fIYIOmUTQAQBwMgg5fEHQEVsQdJisFaeUDeSR8cPoaua7kkcDXv99sRxbHlrjkQkj6Mr9OQ374fJDD9KRKaPZOhBaYfW3T/l3Q0f419LN7PZqrlo+lyYrr8M+vTqx78vQVwQd8oigAwDgVBBy+IKQI/Yg6DBZq04pG8jzb1ROHg14vZ42LR0b0octD63xn08+MuwH4T+f1GbLQ2iFDesf5bqhrb377iu0Z6dxW7dtWk7zZk+i4cp7XWK7H9j3Y8iLoEMeEXQAAJwIQg4jCDpiD4IOk7XqlLKBPNGtffKIQOfZ2u+x5aE1HpnyuzqDw38/XLn/PjoyYThbB0Kz/bH1Qf8uaHvz5rnos40rls2hSeOGUVLPDux7MAwugg55RNABAHAaCDl4EHTEh1i2u6ODDqtPKcu5f+Myulj8yeRRgdfLuXPRoXlT2TrQGsUxOfz3g1Acw4MrD6HZJvXcy3VBW1v62bO0ZcMymjtzAg0dlETt27Rm339h6CLokEcEHQAAJ4GQgwchR/xA0GGSc2Zae0rZQP7d/IvkUYHO0981Z8tDaxRnWRFnW/HfD+KsLEfHDGHrQGimkyds9+9+NvcgPf/cTOrZPZF9z4WRiaBDHhF0AACcAkKOwCDoiB8IOkzQc0rZ5ezgw2rFAPvKffdqI4MbXiz9DO3bvoatA63xzBefGfaD8OwH77LlITTTTes2qj/1YLqgjRRnjtmkOEOxL732alv2PRdGLoIOeUTQAQBwAgg5AoOQI/7Eah84NuiI1SllA3n23WraKMHH4326suWhNR6aPYku5ctj2A9X78lCR2N8oFroTt9796R/97OJ+xUXK45S7K166629qFFDHGjUbBF0yKOdg46lS5fS4cOHvbcAAG4FIUfKIOiIPwg6ojCWp5QN5PH+3bXRgo/nalRly0Pr/Lvp5+y+OFvzbbY8hGbarfM+rvtJqvLmnLBBcZqiJ9zQmzdPF/Y9F0Yngg55tGvQsWnTJkqTJg2NHz/eew8AwI0g5EgZhBxygKAjCmN9StlAXnjuWW30cMOr2bPR4Wlj2PLQGg/Nn0aXChYw7ou77qRjQ/uydSA0y2V/bqb77rvk3/0k8pqiOGjqIsURisaAQ/OlF9ux77kwOhF0yKMdg45Lly5RwYIFKWfOnAg6AHAxCDmCg6BDDhB0ROGSRbE9pWwgT7VuoY0kfBQzDLjy0Dr/VgYO3L7ADBsYCyu+JGZKsF0wjp5WXKc4RZEPNvxt0hhnWLFCBB3yaMego3HjxvTNN99QxYoVEXQA4EJEwIGQIzgIOeQiFvvDkUHHxLFDafvmFeyAI5YeWjidLj+SWxtV3PC/YkXowLolbB1ojQf//IP+K/KEYV9cuyMjHRuYxNaB0Cx/67eHMmS46t/94uAVxd2KCxSHKRrDjEAWL9aRfb+F0YugQx7tFnTMmzePihQpol5H0AGA+0DAEToIOuQCQUcUjh7xG21Y8yc76Iil/9R5Xxth+HiiS1u2PLTO08oAgtsX5956nS0PoZm+UyOeByUVz71GcZIiH2Sk5B0Ze1Ldj35i32th9CLokEc7BR2nT59W13fbtm3qbQQdALgLhByhg5BDPhB0ROmQgb1o5fK57KAjVh4d3p+u33qrNtq44fnXK7HloXUeXDaH/nuqqGFfXL8tvXrwWK4OhGY5esROypbtsn/3s1BxXJCdivMVhyjyIUYoli6dyL7HQnNE0CGPdgo6ateuTdWqVaOpU6eqFitWjFq2bEnr1q3zlgAAOBWEHOGBoENOrN4vjg46hP16d6HFC6ezA49Y+W/F8trI44bXMt1BR8cOYctD6wx03JTzVV5hy0Noph/XOc51P5MVz7FKcYIiH1yEY9as3alhA5xS1koRdMijnYIOEWqIWRyaWbJkUX/GkpiY6C0BAHAiCDnCAyGHvCDoMMEeXdvRvFkT2YFHLDzZ7kdtBOLjmfp12fLQOg+sXEAXSxY37IvradPQ8d6d2ToQmuWalZsouyWzOi4qblecqzhIkQ8tIrHK623Y91Vongg65NFOQYc/+OkKAM4HIUf4IOiQFwQdJtkx8SeaMeV3dvBhtQdWzGdPb3qpQD715xRcHWidp37+1rAvhOcrV2TLQ2imfZP20AP3m3W62aOKKxTHKfJBRTSWfhY/WYmFCDrkEUEHAEBWEHKED0IO+bFyH7km6PD4LU0cF58zspz5/BNtZOLjqTbfs+WhdR5Yu5guli5p3B8330wnenRg60Bopj+2Pkhp014zdMHQ/Fdxq+JsxQGKfEgRrYULdVIG3N8z76PQbBF0yKOdgw4AgHNByBEZCDrkB0GHyapnZFkb2zOyHBk/nK5mvksbqdzw3wrl2PLQWk+2bW3YF+r+qFie9u1cy9aB0Ezrf3qM64IpeFhxueIYRT6cMMtHcnelhvVxXI5YiaBDHhF0AABkAyFHZCDksAcIOiwwHmdkOf/Gq9qI5YbX06alY0P6suWhde7fuIwuPF/asD+EOPUvjIW7tq+nN984zXVBnecUtyjOVOyvyAcTZpo5cw9q3AghRyxF0CGPCDoAADKBkCNyEHTYAwQdFinOyLJk4Qx2EGKFJ7onaqMXH8/Wfo8tD631ZIef2f3xb/nnaf/WlWwdCM109/b19PVXh+nuu6/4dcODiksVRyvygYQVFincCWdYiYMIOuQRQQcAQBYQckQOQg57YdX+cnXQIezRrX3Mzsiyf+Nyuvh0MW0kc8PLuXPRoXlT2TrQOkWYcaH884b9IRQhCFcHQivs0nEf5csrfsqySXGGYl9FPoywwtSpk6hsmUT6pgWOyREPEXTII4IOAIAMIOSIDgQd9gJBh4WqZ2SZGpszsvzd/Isbg2m9p79rzpaH1ip+psLtjwvPl1F/3sLVgdBMl/75B437fTD98F1HevCBrkr348MIq7wtfS+qXu1X9r0RxkYEHfIoa9AhPpoAAO4AIUd0IOSwHwg6LNd7RpYt1p6R5fCMcXTlvhyeby06L5Z+hvbtWMPWgRa6c616AFL//SE82fYHvg6EUSoOhjxz+lga+FsPn/ehH1t/S29UaUMP57Y+8Ljrzh70XNlE+gLH44i7CDrkUaagQ3wUaQS6DgBwFgg5ogdBhz2xYr8h6PBTnJFlo8VnZDn7bjXPNxU/j/fpypaH1ipOKUupUhn2hwifxKlouToQhuueHWvUYwKNGTWQunVuw77/aIrTur5csS3dl6O70hX5oCJS06fvRSWf7qAMon9knxvGXgQd8ijbjA7xccT9BQA4D4Qc5oCgw54g6IiR4owsqyw8I8vx/t2JbrrJ841F57kaVdny0HrPV37JsD+Ep37+li0PYaiuX71I/WncgH7d2PeblPyqSWuqVvVXKv5UR8qaNfLQ47bbelH+fJ3p5Zfa0WefIOCQTQQd8ihb0CHQfywBAJwJQg5zQMhhXxB0xFCrz8hy4blnk7+5eL16bzY6PG0MWx5a6/Henel6mjSGfXKxZHE6sHIBWwfCQO7atpr+nD9NnSHWpaM5x7/4+cdv6eM6P9GzpRIpT54ulD17d7r99l5KN/UNNdKmSaIsWXrQQ7m6UrEnO9JbVdvQd62+Y5cJ5RBBhzzKEnT4fRSpXwD97wMAOAOEHOaBoMO+IOiIsVaekeVU6xbJ31Z0/t3sc7Y8tN7zr7/C7hOxr7jyEPq7duUCmjZ5FPXv05V9T7HKZk1aq37/HQINO4qgQx6lnNEhLuLjyPslUAyK9AIA7Atew+ahvUcC+2L2PkTQEUSrzshyaOF0uvxIbvEO5+N/xYrQgXVL2DrQWsVPiq6nT2/cJ8WfpIPL5rB1INy5dSUtnDeFRg3vT506/My+j0CYkgg65FG2oEP9GBIX5a96m/kSiOADAHuC16u5cO+PwF6YvQ8RdIRgG+8ZWXaYfEaWf+q+L97lDIpTnnLlofWeq/o6u09Of/sVWx6619V/zaOpE0dS36TO7PsGhKGKoEMeZQo6xMeP+ldcvNcFwb4IIvQAQH7w+jSXYO+LwB6YvR8RdISh54ws5p2F4+jw/nQ9/a3i3c7H869XYstD6z02MImuZbzdsE/+K1qIDv45k60D3eP2zX/R/DmTacTQvtSxPQ7qCc0RQYc8Sjejw/ulT3wU6Qn1y6A+9MDACgA5wGvRfEJ9TwTyY+a+RNARpkOUgbCZZ2T5t2J58Y7n47U7M9HRsUPY8tB6z1V/07BPhKdbfMmWh853pfKanzxhOPXu1Yl9X4AwGhF0yKOsQQdHJF8GEXwAEF/wujOfSN4LgbyYuT8RdERgvz7mnZHlZPsfxbuewTP1P2bLQ+s9NrQvXbvrTsM+ufREATq0YBpbBzrPrRuXqwcjHja4DyW2/YF9L4DQDBF0mOf06dN9bu/Zs4fmzZvn44EDB3zK6LVT0CGI9gshgg8AYgNeY9YR7fsgkAsz9yeCjghVz8gyO/ozshxYMV8dQCvvfj5eKpAPB8CMo2drvm3YJ0KcFcf5rlg6myaOG0ZJPTqwr30IzRZBhzl26NCBSpYs6XNft27dKG/evFSoUKEbzpgxw6eMXrsFHQIzvxQi9ADAfPB6sg4z3/+AHJi5TxF0RGEnk87IcubzT8S7oMFTbVqz5aH1Hh05gK7ek8WwTy7lz0uH5kxi60D7unnDUpozcwINHZRE7dp8z77eIbRKBB3RuW/fPmrcuLEaYvgHHZ999hn169fP576UlCnoCOfLnhVf9vWhBwZqAEQGXjvWYsV7H4g/Zu1XBB1R6jkjy7CozshyZPxwupr5LvFu6OO/Fcqx5WFsPPvBu4Z9IjzTuD5bHtrP5Ytn0fgxQ6hnt/bs6xvCWIigIzqbN29OP/74I40ZM8YQdJQrV45mz56t/oTlxIkTPo9x2jXoEFj9hR/BBwDhgdeJtVj9ngfih1n7FkGHSUZ7Rpbzb7wq3hF9vJ42rXq8CK48tN6jygD4yr3ZDfvl8mOP0OE/xrN1oPxuWreEZs0YR4MH9KQ2v3zHvp4hjKUIOqLz9OnT6t+pU6f6BB2nTp2iPHnyUIUKFah48eLq9aZNm954nFN8KfI3XkTyRS+WX/wRegAQGLwurCeW73cgtkS6b7nPcO6z3modF3QIhwyK/IwsJ7onindFg2drv8eWh7Hxnzrvs/vlTMN6bHkor0v//IPG/T6Iundtx75+IYyXCDrM0T/o2LJlC9WrV0/9K25v376dSpUqRf37979Rxl/xpUgWIv2iF48v//rQAwM84HbwGrCeeLzPgdhixj5G0GGyXTr+SutXL2IHWim5f+Nyuvh0MfHu6OPl3Lno0LypbB1ovUcmjKAr99/H7pfDJhyfxQo3rltMw4f0ob5JnWnNivlsGbe4Y8tKdfZG714d2dcrhDKIoMMc/YMOzlatWlGDBg3Yx4SyBB3RfsGL9yAAwQdwCps2baLx48fTjh07vPekDPp7bIj3exywHjP2MYIOCxS/9583O/wDVv7dvLF4hzR4+rvmbHkYG//5pDa7X/759CO2fLxct2ohTRw3lLp0/OVGX+zY/if1GBTiMa6OE92zYw0tXjidxowaSF07t/F5bUIoowg6zNE/6NiwYQMNGjTIp0yzZs2oUaNGPvfpdUrQIZBpIIDQA9iRJk2aUJYsWeidd95R3xu+++477yM86N+xQab3NmAdZuxnBB0W2Snx57DPyCKO+3DlvhzindLHi6WfoX3K4I2rA633yJTRdPmhBw375coD99ORiSPYOrF0y4alNH3yaOrVPZHti8LePTvSzOljaefWlewynOC61QvV19xv/bqxbQChrCLoMEf/oGPFihXqqWVXr16t3hY/XSlRooQtTi9r1hd5GQcE+tADA0MgK8uXL6c0adLQ/v371dsXL16kBx54QL2fA305dsj4vgasIdp9jaDDQiM5I8vZmm+Ld0uDx/t0ZcvD2Himwcfsfvmn7gds+Vi4c+sqmv3HeOrXpwvb/zjF6VPFbAdueXZ017ZV9Of8aerBgPUzWSC0kwg6zJH76Yo4taw47WyNGjXUvz169PB53F+nBR0C2QcFCD6AjAwYMIAqV67sveVBzOwQs8L8Qb+NHbK/nwFziXZ/I+iIgb+HcUaW4/17EN10k3jX9PFcjapseRgbD88YR5cffdiwX67kuJeOjB3K1rHShfOm0OABvdj+FswO7X6k8WMG09pVC9hl28G1KxfQtMmjqH+fruw2QmgnEXTIowxBhxVf5O00OEDoAWRgxIgRVLBgQe8tDxUrVqSaNWt6b3lAP40tdnovA9ET7f5G0BEj+/Xuov7vMzdo8/fCc6XFO6ePV+7NRoenjWHLw9h45ovPDPtFePbDmmx5KxQHuhWnReX6WLh2TPxJnRGyd+da9rlkdNmff9Cwwb1xWljoKBF0yKNTgw6BHQcI+tADA0oQS06ePEmZM2dWj9Mxb9486tixI2XNmlWd1aGBPhlb7PgeBqIj2n2OoCOGjhzWj7ZsWMYO4PSe+qGlePc0+Hezz9nyMDYemj2JLuXLY9gvV7PdQ0dHDWTrmOXqv+bRuN8Hq+EE17eiccjAXrR4gbw/ZxHbPmXiSPUsMtz6Q2h3EXTIo5ODDoHdBwoIPkAsEWdcee211+jZZ59VD0TauHFjql27tvoY+l/ssfv7F4iMaPY7go4YK84EEeyAkIcWTmd/JvFfsSJ0YP0Stg6MjX83/dywX4Rna1Vny0er+MnTlIkjqHuXtmx/MsvEdj+oQcqalXL8nGX75r9o/pzJNGJoX+rQ/kd2nSF0igg65NHpQYfASYMFhB7AKv755x9aunSp95aHSpUqUf/+/dHf4oST3rtA6ESz3xF0xEFxCtBgPxf4p+774hPc4AllwMuVh7Hx0PxpdKlgfsN+uXp3Zjo2rB9bJxK3KQP9mdPGUJ9endg+ZJW9eiTSH8rzbg/jALpmunLZXJo8frh6lhhu/SB0ogg65DHeQUesvsg7ccCgDz0wEAXRIs62kjp1ajp48KB6e/HixZQpUyb0rTjhxPcsEBrR7HsEHXFy2qRR7EBP8+jw/nQ9/a3ik9vH86+/wpaHsfNvZRDiv1+E5955iy0fjnt2rKF5syfRwP7d2X4TK8WBTsXZTLh1NNutG5fTvFkT1WNvJLb9gV0fCJ0sgg55dEvQIXD6wAHBB4iWzp07U4YMGahMmTKUM2dO9KM44vT3K5Ayke5/BB1xsn3b1jRz+lh24Kf5b8Xy4pPax2t3ZqKjY4ew5WFsPPjnH/RfkSeM+ybTHXRMGaxzdUJRnPZ12OA+bH+Jh+3b/kBjRw+iNSvms+sbrX8tna3OburVowP7/BC6RQQd8oigw7kg9ADRgH4TP9z2XgWMRNoHEHTE0c4dflH/954bBApPtv9RvLMaPNPgY7Y8jJ2nlcEIt2/OVavClk/JFUvn0O8jB6jhF9dP4m3P7ok0Y+rv6nEzuPUPx83rl9KcP8bTkIFJ1O7X79nng9BtIuiQx3gGHfH4Mu/WAYQ+9MAAFgQDfSS+uPV9CiQTaR9A0BFnu3dtF/AnAgdWzKdLTxQQ77A+XiqQjw4um8vWgbHx4LI59N9TRQ375lqG2+j4bz3YOv6uW7VQndHQpdOvbN+QzUEDetKi+VPZbQnm8sUzafyYIdSzW3t22RC6WQQd8ui2oEOAQYT4+PYEHgg+gD/oD/EF709AEGk/QNAhgeLAi2IgyA0Qz3z+iXiXNXiqTWu2PIydp1u3YPfN+Tcqs+U1t2xYStOnjKZe3RPZ/iCz7ZV+J84cJE75ym2b3k3rFtOsGeNo8ICe1OaXb9nlQQgRdMikG4MOAQYTviD0AALs//iD9yagEUlfQNAhib/17UarmMHjkQnD6Wrmu8S7rY//VihnKAtj64GVC+hiyacM++Z6unR0vE8XQ/md21apP9vo36cr2wfspJiZIcKabZuW+2yjOJvQ0kV/qMf26N6lHVsXQugrgg55dGvQIcCAgkcfemDg6x6wr+MP3pOAnkj6A4IOiUzq0YF2KYNh/cBReP7NV8U7ro/X06alY0P7GsrC2HpK2W/++0Z4/tWXfcqJA2/27uW8U6aKWSkrl82hHVtWqrM3RB/mykEIA4ugQx7jFXTI8oUeA4vgIPhwPtivcoD3I6Ankv6AoEMyf+vbVf1fcf0g+YQymFTedQ2erf2eTzkYew+s/ZMuli5p2DfXU6emEz070oY1f6o/3eD2tZPEgUUhjFwEHfLo9qBDgMFFeCD0sCf63aVd9+xHz3UQX/A+BDjC7RcIOiRUHANhx9aVNwbT+zctp4tPF/O8E+u8nDsXHZoX2cEhoXmebNvasG+EB0oWp46JP7H7GEIINRF0yCOCDg8YZESGPvRA8CE/2i4SfxFyyAXegwBHuP0CQYekirNx6Gd2/K188fW+E/t4+rvmPoNuGHv3b1xGF54vze6fCW+/we5fCCHURNAhjwg6ksFAI3oQfMiP2C2aQA7w3gMCEW7fQNAhsdMmjboxmD78x3i6kjOH7zuy4sUyz9C+HWt8Bt4w9h5p871h3wj/S5eW2rf+mt2/EEIoRNAhj/EIOmT+Uo8Bh7kg+JAD0fQ+MhcQP9D+IBDh9g0EHRIrTuU5c/rYG4PpszXf1r0rJ3u8b1efQTeMnWLWzYI/xtOfH75LV1KnZvfP+dszUM8mDdh9DCGECDrkEUGHEQw6rAOhR+QcP36cFixY4OPp06e9j4aG2vbaxW8X6B7xuQBrQRuDYITTRxB0SG7nDj/TvNkT1UH18f49iG66Sbwz+3iuRlXDABxa75J5U2hp3ffpNHP6X38vpUlDE6pVYfcxhNDdIuiQRwQdPBh8WI8+9EDwEZx27dpR6tSpKUOGDDf8448/vI8GxyfkUC6e+9Q/KaKvo78Ac0BbgmCE00cQdNjA7l3b0Z/zp6mDa+5YEFfuzUaHp40xDMShNa5cPJNWfFKb/g4h4PB37ZOFqcN3X7H7GULoThF0yCOCjsBgABJbEHykTLVq1ah79+7eW6GT3KaePq1dNCJtav2y9BcQOmgvEArh9BMEHTaxd8+OtEwZYJ/6oaXnXdjPv5t9zg7KoXmu/2serW7wMZ25OzO7D0L1ZJa7qX/9uux+hhC6TwQd8hjroMNuX+wxEIkfCD18Ea/VOXPmqD9huXTpkvfelNG3ndaXxV/tuhVoy/e/ACNoFxAqofYVBB028re+3WjDpJF0+dGHlT2s7GCd/xUrSgfWL2EH6DA6ty2ZTRsafEwH8ihfgP3aPVLPZLqD5lYoR+2VgQ23ryGE7hFBhzwi6AgOBiPxRx96uDH4uHLlCqVKlYry5ctHWbJkUa/Xrl3b+yiPfztp/Vj81a7HEu15/S9uxc3bDsIn1P6CoMNmDh7Yi47XqqHsYWUH+3miS1t2oA4jc8+K+bSl0ad0MF8etr39vXzLLeqxOLjHArmuaCH6rX4ddl9DCN0hgg55RNARGhiUyIXbgo+9e/dSlSpV1L+CgwcPUo4cOahnz57qbX8ChRwCcV1/O95o6+N/cTpu2EZgHqH2FwQdNnROq6Z0Lf2tyl5WdrLO86+/wg7YYXgeWPMn7fiyAR3On9fQxpwi4Fhf5Aka/d7bdObOTIbH/77rTsN9eg88kJMm4kClELpWBB3yiKAjdDAwkRc3hR4a9evXp+rVq3tvJcO1gb7viuv627Kiraf/xQkkHM9CCxZc9zHME+gAFxJK/0fQYVMPlHhK2cPKDtZ5TRlkHx07lB28w+CKgGP3V43oyOP5DG3LqQ84tP3CBR0rny5GK0sUo+vMGXM0L6S/lRY9X5q6tPjSZz9DCJ0vgg55jGXQ4YRBilMGWk5GH3o4JfjYsWMH9e3b13vLQ506dahmzZreW8nb7Y++z2rX9ffZDbHu3MVOJLRrQqlTE2XIkGwYJ9ABLiWUfo6gw6ZOfvNVZQ8rO9jPMw0+ZgfxMLAi4NjXsgkdK1iAbVN/uYBDkws6Fj1fRn3sj8ov0Yl77jY8rnfz4/loaJ1ahuVCCJ0rgg55RNARPk7ZDregDz24IMAOrFu3Tj217KZNm9Tb4qcrWbNmvXF62ZS2S99ftev6+5yC2CbuIhtinapVI4rgBDrA5YTSnxF02NTOLb6kQ/flUPayspN1XiqQjw4un8sO6KGvIuA49O1XdKLQ44Z25Ewp4NBMKegQDv+wJm0LcsyPY9my0rTXK/ksF0LoXBF0yCOCjshw0ra4DbuGHuLUshkyZKDnnntO/ZuYmKjeH2rIIdBuu6n/im3lLvFCPLd4250z5zodP04U4gl0AAip3yLosLELXyij7GVlJ/t5qk1rdmAPPYqA41jrFnSyyBNs+/mrBhyFUw44NIMFHcJuXzWiJWWeoUtp0xrKal5NfTMtL/U09WzSwKcuhNB5IuiQx1gFHfEcWFiFE7fJbehDD7sFH4Jg6+zfR7Xb/ve7EdEG3MVqEq6kplSpiPLlI8qShdTrQU6gA8ANgvVRBB02dsCntel8htuUvazsZJ3/VijHDvDdrgg4Tv78LZ0uWsjQZpyegKNgSAGHZihBh6b4+dHh++41lNe787FHaFSt6mx9CKEzRNAhjwg6osOp2+VW7BJ8hLJ+XN/U7uMeAx5E23AXMxDLESfOqVJFnEnHc9/Bg0Q5chAFOIEOAD4E64sIOmyuOD2p8u7u4/V0aenY0L7sYN+NioDj1C/f0pliRQxtxRlJwKEZTtAhHPhJbdqgPJd/Hb3irC2zK5antj+0ZJcBIbS3CDrkEUFH9Dh529yOjKFHKOsSqE9q96PPho9oM+4SDoHK169PxJxABwADwfocgg6bO676m8peVnayn//Ufo8d9LtJLeD456mibBv5KwIOETr8HkHAoRlu0CHs+G0zml/+OTp3++2GunrXPFWE+jX8mF0GhNC+IuiQRwQd5uD07QPia4myl3XGg1Cfl+uP+vu4x0FkiLbkLv5o9+3YQeR3Ah2qU4dIdwIdAFKE618aCDpsbvvvm9Pehx5U9rKyk3Vezp2LDs2bygYATlcLOM49XczQLpxXTAg4NCMJOjTH1qjK7ku9+3I9QOOrv8nWhxDaUwQd8hiLoCOlL2VOwi3bCTzEOviIJuQQ6O8PVAaYh2hj7rJuHamnlvWeQEf96UrWrDi9LAgd0Y8CgaDDAc55qZyyl5Wd7Ofp75qzQYBT1QKO8yWeYtvD3xsBR83oAw7NaIIOYd/P69Gq4k8alqFXHJdlYbmy1KlVU3YZEEJ7iaBDHhF0mIubthX4YmXoEc4yA/VB/f3op7HFv+25CwChklJ/QdDhAPt8/gn9zQywz5V6mvbtWMOGAk5SCzguPPO0oQ04rQg4NKMNOoRtfmpFsyq9SKfuzmxYlt6NTxSgwcpAiFsGhNA+IuiQRwQd5oNBC9CHHsFCCv3D/tdDqa8npb6nfyylcsB8QmlvUYa7mIE4je2CBdcNbtvmLQBsRUr9AkGHQ1wZ4Gcah3t2YsMBJ6gFHBdLlWC33d8rt6S2LODQNCPo0Bz5wTu0Pa/ypdtveXqP3JudprxRma0PIbSHCDrkEUGHNbhxm0Fg9KEHF1xod+n/hhNwaKTU7/SPpVQOmEu0bS3qc5dwGDuWKEMGX8VpbevV8xYAtiNQH0DQ4RDFKUiv33STsqeVHa1zz4sv0N6da9mgwK7KGHBomhl0CHs0bUjLni2pHijVf7mal9PcQktLl6QezT5nlwEhlFsEHfJoddAR7hdyJ+HmbQcpw4Ue3q84XsPvO8H6m/5x9M3YYVVbi+Vyl1AQxwMRp7Q9edJ7B7AdgfY1gg4HuSPPI8qeVna0zn8y3UELu7VnAwO7KXPAoWl20KE5tcor6uwN/2Xr3Z73MRrxwTtsfQihvCLokEcEHdbi9u0HKcN8tTEYKsH6mv5x9MvYEI92Fs/JXTTOnSPKrny9nj7dewewJfp9qgdBh4OcUbmisqeVHe3ngpf+RzOnj2XDAztoh4BD06qgQyiOx7HpiQKG5esVx/WYWakC/fpTK3YZEEL5RNAhjwg6rAdtAILhGYp6LxF0F1EvJfwfD1YemINM7SzWRb20/JESKky7cRvYF27/IehwkOJnDsez3qPsaWVH69z/4P3U45dvad6siWyQIKthBxyp4xdwaFoZdAg7tWqinnFFnHnF/3n0rnr6SerT6BN2GRBCuUTQIY8IOmID2gFweIaaysXbPfxvh4qokxL+jwcrD6JHxja+eJEofXqi5cuve+/R9Tm/C5Afbj+FGnSMGTPGcN/atWtp6NCh9OeffxoeCyaCDosUx2rQD3g1J7xdhbp3aUuL5k9lQwWZjDzgqMa2SSy1OujQHF/9Ddr/4AOG59K7N3cuGvtOVbY+hFAeEXTIo5VBB74s+4L2AALPMNJzUW/rukWg+1NCK58S/mVCqQOiQ8Y2HjToOhUo4L0RBLH+3AXIA7c/Qgk6WrRoQdmyZfO5r0+fPnTPPffQW2+9Rffffz81adLE5/FgIuiwyKEfvUeX0qRR9rays3WKIEA83rtnR1q2eCYbMMRbOwccmrEKOoT9GnxMa4oVMTyf3rMZb6f55Z+nDt9+xS4DQhh/EXTII4KO2II2cS+eYWLK+z+UMnpCLetfLpznAOEja/tWq0b0zTfeGxEito27gNjDtXtKQcfu3bupRo0alCFDBp+g4+TJk+p9y5YtU2/v3LmT0qdPTytXrrxRJpgIOix08+P5lL2t7GydF5QdNKjeh+rj/ft2pVXL57JhQzx0QsChGcugQ9juhxY0u2J5+vuuOw3Pq3e90l4DP6nNLgNCGF8RdMgjgo7Yg3ZxD54hoOcSCpGUDwX/cqHWA5Eha/tmyUI0dar3hsmIbeYuwFr82ziloOPDDz+khg0b0oABA3yCjpEjR6qzOPRlK1euTO3atfO5LyURdFjo5DdfVfa0sqP9/PO50jfKDB7Qi9avXsQGD7HSSQGHZqyDDk1xeuGdjxnPuqP3UM4cNLnqa2x9CGH8RNAhjwg64gPaxtl4hnjh72OtXih1QymjwZUNpz4IHVnb9do1Zd2UVTt82HtHjBDt4X8B5uHfnikFHadPn1b/jh492ifo6NmzJ1WsWPHGbeG7775LtWrV8rkvJRF0WGjnll+qg1r/ge6RHNmpq/IFWis3Ymhf2rx+KRtCWGlEAUchuQMOzXgFHcJeTRrQ8lJP09XUNxvWQfO/dGlpcdlS1K35F+wyIISxF0FH9K5evZomTJhACxYsMDy2adMm9bEVK1YYHvPXqqADX2aDgzZyFp4hnOcSKeEsI5QygkDlQq0PwgPtGhzRRtwFhI9/u6UUdGj6Bx1du3alSpUq+ZR57733VPX3pSSCDotd+EIZZW8rO9vPqVVe8Sk3ZtQA2rFlBRtImG1kAcfjtgg4NOMZdGhOe60SHcuW1bAeerfmz0vDatdk60MIYyuCjuhs1aoVlSlTRp2C+vLLL1PVqlXp2LFj6mNiCmqJEiXUx0SZNm3aGOrrRdARX9BO9sczRDNnP2rLCbbMcJ4vUNlwlgFCA20aHaL9uAtIGX0bRRJ0iAORVqhQwaeMmNEhfuqivy8lEXRY7IBPP2JPQSoGuP5lJ4wdSnt3rmXDCTN0Q8ChKUPQIRxapxZ7rBa9J+7JQjMqV2TrQwhjJ4KOyF2+fDnlz5+f9u3bd+O+l156iQYNGkSnTp2iQoUKqbM9xP179uyhggUL0vr162+U9RdBR/xBW9kPz/DLczETbXnBlh3O8wYqG84yQGigTa1BtCt3AR70bRFJ0DFp0iSf20IRfIgARH9fSiLoiIHrihZS9rays3VeuSU1DWf+J3/qpJFsSBGNbgo4NGUJOoRdWnypPHdpupD+VsM6aV5PlYpWlHyKkpRBFbcMCKH1IuiI3K1bt9LMmTN97qtXrx61bduWJk+erM7i8H8spS8rVgQd+AIaPmgze+AZXlm3r7Rlp/Q84T6/WcsBKYP2jD2izbmL29BvcyRBhzh2h7gt7he3lyxZQunSpaPt27ffKBNMBB0xcFz1N5W9rexsP8VxHPzLtmvTmmZOG8sGFuHqxoBDU6agQ3NitSp04IGchvXSu/uR3I5ofwjtKIIO89ywYYM6w0PM9Bg6dCh99NFHPo9/+eWX1KxZM5/79IovRf5Gixu/aJoB2k1ePMMn6/eP9hz+f/WEux6Byoe7HJAyaE95EPuCuzgR7XNbbJ92nfus1+sfdAjFrI577rmHSpcuTRkzZlTPzKJ/PJgIOmJg+++b096HHlR6uNKZdZ7Mcjf1+rK+oXynDj/T3FkT2fAiFMMNOK6mTk0bCz1OY951zgBbxqBD+Fv9OuwMH71nMt1BcyuUU/rN1+wyIITWiKDDHMX/togvJR07dlRvi5+v1K1b16dM06ZNVfX36TUj2PDHqV8orQbtJheeoZHnEiu05/L/qxHJugSqE8myQGDQnvIj9hF3cQLadoQSdFghgo4YOeelcsreVna2nzNfqcCW796lLS2aP5UNMgKJgCNZWYMOoQgwRJAhAg3/ddQrAhERjHDLgBCaL4KO6BVTS4sXL049evS4cZ84EGnt2rV9yokZHc2bN/e5Ty+CDrlA28Ufz9AnPvtB/7zcekSyXoHqRLIswIO2tDdi/3EXO6GtL4IOh9un0Sf09113Kntc2eE6dz36MLX5qRVbp3fPjrTsz5lsqKE3/IDjZscGHJoyBx2av9d8W/2piv966hU/dRE/eeHqQwjNFUFHdIpjdBQtWpTGjRvnc//s2bOpZMmSPveJ4EMEIPr79JoddNjty6GMoA1jj2dY47nEE/3za9f9/4ZDSnUiWR7gQVs6E7FfuYuMaOuFoMMFrny6mLLHlR3upxjwcuWF/ft0pVXL5yLgCFM7BB1CcfBRcRDSa6lSGdZXUxzEVBzMVBzUlFsGhNAcEXRE7qZNm9Qzq4gDj544ceKG4owr4oBiIuiYOnWqWnbVqlX0+OOP065duwzL0UTQISdox9jgGbbI09b6ddGuR7OOKdWLdJnAF7Sj+/C8Io2XeCPWAUGHCxxVqzpdv+kmZY8rnU7n6qeKsuU1Bw/oSetWL0TAEYZ2CTo0Z7xakU5kzWJYZ73iNLXidLVcfQhh9CLoiNzWrVurX2T8bdGihfq4mNVRokQJqlGjBhUuXJjGjBljWIZeUddMZPiy5xTQltbgGZJ4LrKhXyftejTrmlK9SJcJfEE7Ag3PK9V4iRXiucRnOvdZb7UIOmLsjjyPKHtc6Vw6/8l0B/Vr+DFbXnPE0L60bfEsBBwharegQzisdk3amj+vYb31HsuWlaa9XomtDyGMTgQd8oigQ27QnubhGXLI3Z769dOuR7PeKdWLdJkgGbQhCAXPK9h4MRuxTPGZLoYy3Oe9lSLoiLEzKldU9riyp/2c9+ILbHlhx2+a0rTXKtHRgvnZuv5evdm9AYemHYMOYbfmX9DisqXov3TpDOuvKQIscWrink0asMuAEEYmgg55NDPo8P/iNn269wqICiu+ELsFz3DCc7ED+vXUrkez/inVi3SZIBm0IYgGzyvbeIkEMXRR/4qLcl37jNdft1IEHTG2R9OGdDzrPZ49r3P/g/dTh2+/8imrBRy7H37IUJ4zOeB4y2c5btSuQYfmpKqv0aGcOQzboHfnY4+oP4fi6kMIwxdBhzxaFXS0bk2UPbv3BoiaSL/8uhX1y74N28x/nbXbkW5LSvXs2D4ygfYDViH6FncJhjpsERflr/h81/7GQgQdcXBp6ZLeve7rhLc9Z9dAwBG9dg86hAM/rU3rizxh2A694kw+syuWp7Y/tGSXASEMXQQd8mh20HHyJFGtWkQZMiDoMJtQvui6GfULvvdiV/zXXX873O0KVt7O7SQDaD8Qa0Sf4y4aCcp4Rb0odwm5z3yrRNARB8UBJS+lTePZ2zo3FcyPgMMknRB0CDt89xXNK/88nc2Y0bA9etc8VSTocV4ghCmLoEMezQ466tUjatKEaNSo6wg6LED/pRZ48H61996yN/rt8N+ucLcxWPlwlweSQdsBWVCHJ/4XcZ9O7rPfbBF0xMnNjxuPtyGCC//7OBFwBNcpQYfm2Hfeoj25cxm2Se++XA/Q+OpvsvUhhMFF0CGPZgUd4suV4No19Q9NnYoZHVahtbXb8X6l995yBvrt8d++cLc1WPlwlweSQdsBGVFndChdU5P7zLdKBB1xcvKbrybv8TDclu8x6l+/LrtMmKzTgg5hn0af0Mqnixm2S+/5DLfRwnJlqVOrpuwyIISBRdAhj2YHHRoIOqzFrQMtsd3axYlo2+X/VyOc7Q5WNpxlgWTQbkA2PAGHkNTPdPFXfL5rf2Mhgo442Vb5Mn024+2iF4QkAo7wdGLQoTnzlQp0Mktmw/bp3fhEARqsDM64+hBCXgQd8oigw764acAlttUN26tto35bA10PRrCy4SwLJIN2AzIhAg7PX/WPT9Ah1F+3UgQdcfRo9qyeHpCCCDgi08lBh3DEh++qfcN/G/UeuTc7TXmjMlsfQmgUQYc8IuiwN04edIlt0y5ugdte/e1w2iJY2XCWBTygzYAsaLM4/PEPOmIlgo44OeCzj1I8wCQCjuh0etAh7N7sc1pa+hm6lMZ4YFvNy2luUc/y00Mpyy0DQpgsgg55NCPo4L78I+iIHU4bfIntcdo2hQq33f73hdo2wcq5tY2jAW0GZIALODTEZzr3WW+1CDri5PJST4sewTr+7TfYOjB03RB0aIpZG0dyKN/c/bZX7/a8j9GID95h60MIPSLokEcEHc7A7gMwsf7axc1w2+9/XyhtZFYZkAzaC8SbQLM49CDocJHDa9ekc7dnED2DFTM5otdNQYdwUL0P1TPx+G+z3lN3Z6aZlSrQrz+1YpcBodtF0CGPVgUdIPbYcT+IdUb/8RCoLfzvC6W9zCoDkkF7gXgSLODQQNDhItc+WVj0jIAi6IhetwUdwo7fNKUF/3uOzqcQoglXPf2kegYXbhkQulkEHfKIoMNZ2GFfiHXULiCZQG0S6n16gj0uCKUM8IC2AvEilFkcehB0uMSx77xFl2+5RfSQgCLoiF43Bh2a46q/SftyPWDYfr17c+dS+mJVtj6EbhVBhzxGG3RgACAfsu4TsV7oLzxauwRqH//7g7VjKO0cShngAW0FYk24AYcGgg4X2O6HFrSlQD7RS1IUQUf0ujnoEPZtWI9WP1XU0AZ6xemN55d/njp8+xW7DAjdJoIOeUTQ4Uxk2i9iXdBPUkZrn0Dt5H9/sPYMpb1DKQPQTiD2RBJwaCDocIHioJH+g01OBB3R6/agQ9hWGbDNevlFOp35LkNb6F1fuCAN/KQ2uwwI3SSCDnlE0OFc4rlvxHNrF5Ay+jYK1F7c/Sm1bSjtHkoZgHYCsSPSWRx6EHQ43C4tvqTdDz8kektQEXREL4KOZEe9X4N25HnE0B56D+XMQZOrvsbWh9AtIuiQx2iCDgwA5CfW+0g8H/pFeOjbK1Dbcfen1M6h7INQygC0E4gN0QYcGgg6HO6sSi+K3hKSCDqilw06XnBn0CHs2bQhLXu2BF1JndrQLpr/pUtLi8uWom7Nv2CXAaHTRdAhjwg6nI/V+0ksX7uA8PBvs0BtyN0fTlmOUMu5GbQRsBozZnHoQdDhYJO+rK/+j7l+UCm8dvPNhvuECDqiF0EH77TXK9HR7NkMbaN3a/68NKx2TbY+hE4WQYc8IuhwB1bsK7FM9IHo8G+/QO0Zzv2h7pNQy7kZtBGwEjMDDg0EHQ52YbmyotcY3J73MfZ+BB3Ri6AjsEPqvk+bCuY3tI/eE/dkoRmVK7L1IXSqCDrkEUGHezBjf4llaBcQHVwbptSuoZYPdd+EWs6toH2AVZg9i0MPgg6HOuCzj+hklrtF7/Hx39tuo+mvvmy4X4igI3oRdKRs55ZN1Pb497b0hnbSvJ7qJlpR8ilKUgZ63DIgdJoIOuQx0qADgwB7Eul+E/Wwz80jUFum1MbcY6HeF4hwyroNtA2wAqsCDg0EHQ51eamnRe8x+FfJ4mqgwT2GoCN6EXSE5oS3q9D+B+83tJXe3Y/kpt9rVmPrQ+gkEXTII4IO9xHqvhPltAswl0BtmlJbh1onnP0VTlk3gXYBZmPlLA49CDoc6PDaNenc7RlEL/JRnO5TnM4TQYd1IugIXdHf1j5Z2NBees9kuoPmVihH7ZUBILcMCJ0ggg55RNDhTlLaf+Ix7F/rCNb2gQj0mP/94ey7cMq6CbQLMItYBRwaCDocaKDB46LnS6uPI+iwTgQd4dmudQua89L/2HbTu65oIfrtszrsMiC0uwg65BFBh3vR70NxXbsAa0mpjSN5TH9/uPsv3PJuAG0CzCKWAYcGgg6HOfadt+jyLbeI3uTjkRzZqfcXn6plEHRYJ4KOyBz93tu069GHDW2n98ADOWlitSpsfQjtLIIOeYwk6MBAwDmIfYn9GTuCtXWkj2v3h7svwy3vBtAmIFpiPYtDD4IOB9n2h5a0pUA+0aMMzq74vxvlEHRYJ4KOyO31ZX3665niAU9/LLyQ/lZ1ZlKXFl+yy4DQjiLokEcEHe5E7ENtP2J/xo5gbR3p45Huy3DLOx20B4iWeAUcGgg6HOSUNyqLHmVwT+5c1FX54qyVQ9BhnQg6onf6ay/T8az3GNpR7+bH89HQOrXY+hDaTQQd8oigwz2I/aZd/OHuA+YSShsHK5PS4+KxUJ5DT7jlnQ7aA0RKPGdx6EHQ4RA7t/ySdj/ykOhZBqdWecWnLIIO60TQYY5DP3ov4OwkzWPZstK01yux9SG0kwg65BFBhzNZuvQ6HT7suS72Vyj7DPvVWszYByk9Lh4L5Tn0hFveyaAtQKTIEHBoIOhwiLMqvSh6lsGt+fNQ+9a+Z6xA0GGdCDrMU8xC+vO5Z+nirekMbap5NfXN6qmUezZpwC4DQjuIoEMeww06MBiQn02blP2U5j9KGP9a2PsL+9caQm3XYOVSelw8FurzaIRb3smgLUC4yDKLQw+CDgcojm1wKGcO0cN8vJo6NY2r8aahPIIO60TQYb6T3nqdDt5/n6Fd9e587BEaVas6Wx9C2UXQIY8IOpxFwqU0lFBwLeXMSTR+vPfOMME+Np9Q2zRYuWgf9wf72gPaAYSLbAGHBoIOB7iwXFnRwwyKU3Jy5RF0WCeCDmsc8NlHan/2b1u9f991J82uWF49KC+3DAhlFUGHPCLosD9in2iXxo2JvvmGqGLFyIMOgVgWMIdw2jKUsoHKiPvDeS5BuOWdCtoBhIqMszj0IOiwub99VodOZrlb9DQf/81wG4348F22DoIO60TQYZ2J3zWneS++QP/ckdHQxnrXPFWE+jX8mF0GhDKKoEMeEXTYF7Ev9Ptj3rzrVKSI53q0QYcA+zp6wm3DUMoHKiPut+L5nA7aAISC7AGHBoIOm7u8VAnR2wyK03Ry5YUIOqwTQYf1jnm3Gu1+mD/wrua+XA/Q+OrGn21BKKMIOuQxnKADA4L4I/aBdtFz+rT4gku0bZvnthlBh8D/eUB4hNt+oZQPVEa7P5znDHf9nAjaAATDDgGHBoIOGzusdk06d3sG0eN8PJX5Lhr4SW22jhBBh3Ui6IiNvb/4lFaWeIqu33STob01z2e4Tf1ZV6dWTdllQCiLCDrkEUGHPRBtn1L7165NVK0a0dSpHosVI2rZkmjdOm+BKMB+j4xI2i2UOoHKaPeH87yRrKOTcPv2g5SxyywOPQg6bOzaJwuLXmdw0fOl2fKaCDqsE0FHbP2j8kt04h7jT7f0bnyiAA1WBoxcfQhlEEGHPCLokBfR3tolGCLUELM4NLNkIfVnLImJ3gJREso6AF8iabNQ6gQqo90fzvNGso5Owu3bDwJjt4BDA0GHTR3zzlt0+ZZbRM/z8XCOe6n3F5+xdTQRdFgngo7YO7x2TdqWL4+h3fUeuTc7TXmjMlsfwniLoEMeQw06MCCIHaKto21vs366ooH9Hx6Rtleo9bhy+vuiWY5bcPO2g8DYcRaHHgQdNlScVWLL4/lE7zMozjrB1dGLoMM6EXTEx25fNaIlZZ6h/9KmNbS/5uU0t9DS0iWpR7PP2WVAGC8RdMgjgg55EG1sVjubHXQI0AdCJ9K2CrWef7lgtwMR6Xo6ATdvO+Cxc8ChgaDDhk5581XR+wzuyZ2LuipfkLk6ehF0WCeCjvg6WXltHL7vXsM+0Ls972M04oN32PoQxkMEHfKIoCO+iHbVLnbALusZT6Jpo1Dr+pcLdltj+nTvFS8Jx7PQggXXfRQHtnU60ewj4DzsPotDD4IOm9m55Ze0+5HcohcanFrlFbaOvwg6rBNBR/wVB+LdULigYT/oPXV3ZppZqQL9+lMrdhkQxlIEHfKIoCM+iPa0a5uiL6RMNO0Tal3/clw9//tatybKnt17w0tCuyaUOjVRhgzJ/vGH90EHE80+As7CKQGHBoIOmzmr0ouiFxrcmj8vtWv9NVvHXwQd1omgQw47ftuM5pd/js5lvN2wP/SuevpJ6tPoE3YZEMZKBB3yGErQgUGBOYh21C52xwnbYAXRtkuo9f3LcfW0+06eJKpVyxNiGIKOaiOoe3fvDRcR7X4C9sdJszj0IOiwkb2+rE+HcuYQvdHHK6lT07gaVdk6nAg6rBNBh1yOVV4Xex960LBP9O7NnYvGvhP66wdCs0XQIY8IOqxHtJ8T2xD9wki0bRJqff9yXD3tvnr1iJo0IRo16rox6Hh0K82Zc52OHye6dMl7p8OJdh8B++PEgEMDQYeNXFiurOiNBtcVLcSWDySCDutE0CGffT//hFYVf9KwX/SezXg7zS//PHX49it2GRBaKYIOeUTQYQ2izbSLk3H69oWDGW0RzjL0ZQPVE/dfu+a5PnWq74yOK1eUx1NdpXz5PKcjTpWKqHZt74MOxoz9BOyJU2dx6EHQYRN/+6wOncxyt+iVPp7PcBuN+PBdtk4gEXRYJ4IOOW3zUyuaWelF9dgc/vtH7/rCBdVjfHDLgNAqEXRE7+rVq2nChAm0YMECn/v37NlD8+bN8/HAgQM+ZfQi6DAX0VZua69A27tpk+fML4sWXffe41zM2ufhLEdfVn9df8BR7f5du4hatfIEGhp79yqPVxmj/hUcPEiUIwdRz56e207ErP0E7IUbAg4NBB02cXmpEqJnGvzrmeJs+ZRE0GGdCDrkduQH79D2vMpAxm8f6RU/D5tc9TW2PoRWiKAjOlspI5YyZcpQw4YN6eWXX6aqVavSsWPH1Me6detGefPmpUKFCt1wxowZhmVoBgs6MDAIjmgj7eJW/Le9fn2iBx4geucdooIFiZ55hujiRe+DDsSsfR/OcrSy+jr+BxwVjw0Zcp2yZiUqW5bo5puJWrb0Pqjg/3xiv1Wv7r3hQMJpX+AM3BJwaCDosIHDatekc7cbD6oo/nd64Kfh/+8zgg7rRNAhvz2aNaSlz5aky7fcYthXmv+lS0uLy5aibs2/YJcBoZki6Ijc5cuXU/78+Wnfvn037nvppZdo0KBB6vXPPvuM+vXrd+OxYCLoiBzRNmifZLS2WLOGKE0az0EwNQoUIOrb13vDYZjZB8JZllZW/A10wFH15ynKRcyuET9dEYFH+vRE27YR7dihPNbX97cqdeoQ1azpveEwzNxPQH7cNItDD4IOG7i2WGHRQw1GOoBG0GGdCDrsozgd85F7lW9AfvtLrzibkQgaufoQmiWCjsjdunUrzZw50+e+evXqUdu2bdXr5cqVo9mzZ6s/YTlx4oRPOU4EHeEh2kO7ACOiXfbvJ5o1y3uHlypViL75xnvDYZjZF8JZllZW/A10wNHJk5PLacfoEPuia1eideuUx1JfVkMQgfjpighCnHp6WTP3E5AbNwYcGgg6JHfMu2/R5TTG/3k+fN+9lKR8EebqBBNBh3Ui6LCXg5WB5KYnChj2md4T92ShGZUrsvUhNEMEHea5YcMGdYaHmOlx6tQpypMnD1WoUIGKFy+uXm/atClbT1N8KfJXDwYHHkQ7oC1Cw7+dxMwBMcNDzPRwGmb3iXCX5+mVgQ84OmDAdfVxgfbYBx94Zm4IErp/qs4Cee45z2yQxETP/U4j3HYF9sSNszi4z3Dus95qEXSEYFvli++Wx/OJnmpw9svl2TqhiKDDOhF02M9OrZqoZzQSB/b133ea11PdRCtKPhVxuAhhSiLoMMft27dT6dKlqWPHjurtLVu2qLM7xF/t8VKlSlH//v196ukVX4oCgcGBpw3QDuGjtZmYJZAzJ9GPP6o3HYfZfSPc5Xl6Z3Id/6BD/Fzotdd8lyvOrKKdXSXc57MrbtlON+PmWRx6EHRI7OQ3XxU91eCeh3NRlxaN2TqhiKDDOhF02Nfx1d+g/bkeMOw/vbsfyU2/16zG1ocwUhF0RO+SJUvUWRs9evRgH9cUBy5t0KAB+5gQQYcRsd3aBUROwvJi6lk+MEsgdMJdpn8/9Q86xIFIK1XyXa6Y0SF+6iII9/nsiBu20c24cRZHSiDokNTOLZuogyr9IEtz6huV2TqhiqDDOhF02Nt+DT6mNcWKGPah3jOZ7qC5FcpRe2VQyi0DwnBF0BGd4hgdRYsWpXHjxvncL37Goh2UVLNZs2bUqFEjn/v0IuhIRmwvBkXmII7RkUl8PRhbxXuP87Cir4S7TP/y/kHHnDmeY3boy4ngQwQgAjf0dzdso1tBwGEEQYekzqz0ouixBrcWyEvtWrdg64Qqgg7rRNBhf9v+0IJmVyxPf991p2Ff6l1XtBD99lkddhkQhiOCjsjdtGmTesrYyZMnqwcb1RTH51ixYoV6atnVq1erZcVPV0qUKBHx6WXdMgjSLsAcdu3yHO9BHAjz0iWljS+lUf+KM4A4Bav6S7jL9S/vH3SIY3eI2+J+UXbDBqJ06YiOHvU87vR+7/TtcyuYxREYBB0S2uvL+nQoZw7Rc328kjo1ja1Rla0Tjgg6rBNBh3McVas67XzsEcP+1HvggZw0sVoVtj6EoYqgI3Jbt26tfpHxt0WLFurj4tSyIgipUaOG+jfYT1tEXQ43DIAwCLKGxo19PjZu+Omn3gIOwKq+E+5y/cv7Bx0CMasja1ZP2YwZPWdm0ePk14GTt82NIOAIjvhM5z7rrRZBRwouKFdW9F6D4n+QufLhiqDDOhF0OMteTRrQ8lJP09XUNxv2q+aF9LfSoudLU5cWX7LLgDCYCDrk0U1Bh9gm7QJij1Pa3crt0C9bnPZ1/HjPWWsC4enNoa1PoHKh1rcbTt0ut4KAIzQQdEimmAp/Msvdogf7eD5DBhr+4btsnXBF0GGdCDqc6bTXKtGxbOK/gHz3rd7Nj+ejoXVqsfUhTEkEHfLohqBDbAsGPXJg9/1g9fpry2/ShNQDub7zjhi4EH33nXq3AU/PDn2duLLh1LcTTt0ut4FZHOGBoEMyl5UqIXqxweXPPM2Wj0QEHdaJoMO5ihBDhBn++1evCEOmvV6JrQ9hIBF0yCMXdDhhgCC2QbsAubDzPrF63cXyly+/TmnSEO3f77nv4kWiBx4g9X5/PD089HXiyoZT3y44cZvcCAKO8EHQIZHDPnqPzmW8XfRkH0/dnZkGfPoRWycSEXRYJ4IOZyt+niJ+piJ+ruK/nzXFz1zEz116NmnALgNCfxF0yKPTgg6x7hjkyI8d91Es1lk8x4AB16lyZe8dXsTMjmbNvDd0eHp76OvFlQ2nvl1w4ja5CcziiBwEHRIZ6LSWC00eKCPosE4EHe5QHIBUHIjUf1/rFQcyFQc05epDqBdBhzw6IegQ66tdgH2w2/6KxfqK5xgx4joVLOi9w0vFikQ1a3pveNHWJ9z18i8fi+2KJU7bHreBgCM6EHRI4ph336LLaW4RPdrHw/fdS0nKF16uTqQi6LBOBB3u8bf6ddQDBPvvb73iFLXiVLVtf2jJLgNCIYIOebRz0CHWE4Mae2OnvhYLxPOcPEmUObPnOB3z5l2njh1JPWuKmNWhR79O4ayff9lYbVuscNr2uAXM4jAHBB0S2Fb5ghvot/+zXn6RrRONCDqsE0GHu2yvDEznVihHZzLdYdjvetc8VYT6NfyYXQaECDrk0T/o4AYJ06dP916TA7GOGMw4Bzvsy1ito/Y84owrr71G9OyzngORilP21q6tPnQD/TqFs37+ZbXb27Z5zvKyZo1605aE0w5AHhBwmAeCDgmc/Oarolcb3PPwQ5acshJBh3Ui6HCnv9d8m3Y/ktuw7/Xuy/UAja/+BlsfulsEHfIYLOho3bo1Zc+e3Xsrfoj10i7Aeci8X2O5buK5/vmHaOlS3wOPVqpE1L+/94YX/XqFu47+dRMTk2eNiLcE/1DFLoTbDiC+YBaH+SDoiLOdWzahXQEGSFPeqMzWiVYEHdaJoMO9ip+YrSj5FF1LlcrQBzTPZ7iNFpYrS51aNWWXAd0pgg55DBR0nDx5kmrVqkUZMmSIa9Ah1geDF3cg636O5XqJ5xJnW0mdmujgQc99ixdfp0zKV63Tpz23NfTrFe46+tS9lkp9vg0bPLfF84jbdpzZEct9BSIHAYd1IOiIszMrVRA93OCWAnmp3Q8t2DrRiqDDOhF0wBmvVqQTWbMY+oHejU8UoMHKIJarD90ngg55DBR01KtXj5o0aUKjRo2KedAh1kG7AHch2z6P9fpoz9e5M1GGDERlyhDlzEk0Zw5/almNcNfTp+61VCT+v2LXLs/tS5dIPb2t/6wS2Yn1vgKRgYDDWhB0xNFeX9anQznvE73cxyu33EJj36nK1jFDBB3WiaADCofVrklb8+c19AW9R+7NbtmsLWgvEXTIoz7o0A8Url27pv6dOnVqzIIO8fwYrACZ+kCs1yXU5/MvF8l6anXE36QkogIFiFq2JCpenKh+ffUhWxFJG4DYgVkcsQFBRxxdUK6s6OkG1z5ZmC1vlgg6rBNBB9Ts2vwLWly2FP2XLp2hT2iKMy0tLV2SejT7nF0GdIcIOuQxUNChYXXQIZ5TuwCgIUN/iMc6hPqcXLlw11crL/6KY3OIgKN7d8+pbF94gejcOfVhWxDutoPYgoAjdiDoiJPi1JQn77lb9HYfz9+egYbXrsnWMUsEHdaJoAP6O6nqa3QoZw5Dv9C7Pe9jNOKDd9j60Pki6JDHeAUd4rkwOAEpEc/+Ea/nDvV5uXLhrrNWPmFiZcqVi+jKFfWmigg6xNle7EK89hdIGcziiD0IOuLkX88UFz3e4PJST7PlzRRBhzV2bvmlerBJ/3ZF0AEHflqb1hd5wtA39J66O7N6zJ5ff2rFLgM6VwQd8hjLoEMsX7sAEArx6iuyPy9XLpJ1FnUS+n9AlSt77/BSrx5RzZreG5ITyXYD60HAER8QdMRBMZvDf5AjFNPYu379BVvHTBF0RG+/hvVoXPU3aXmpErTjsUfoQvr0bJsK1xUtxC4DussO331F8158ns5mzMj2E81VTz9JfRp9wi4DOlMEHfKoBR2BBgtmBB3qYCrA8gEIRqz7Tjz7aqjPzZWLZL1FnYQ1hUj84nTLFs994qwr+fIZT2crK5FsN7AOzOKILwg64uDOxx4WPZ/1aPasNOadt9h6ZomgI3TF4HTApx/RzFcq0Mqni9GRHNnpkjj8NtN+gbx2c6qYBFjQHo5VXt97cudi+4rmXuVxKw9IDOUSQYc8Whl0qIOoAMsFIBxi2Y/i2WdDfW6uXCTrLeqIizgYqfg/ieee8/xt1MhbQHIi2WZgHQg44g+CjjiYUtChaWXggaCDV/z05Pf33qY5L5WjrQXy0vEgpwgNx5NZ7lZDE+55ofsUMzZEcMb1Fc2zGW+n+eWfpw7fot84XQQd8hgs6AgXbeBk1vIA0IhFn4p3vw31+QOV09+/bh3R+PFE27Z57whAvLc5Guy87k4CszjkAUFHHPytQV36L11a8UoIqvhZxOQ3X6X2yhdgblmRiKAjvJ+emOWBB3JSW2Uww60PdKdippAIwbj+orm+cEEa+Elttj50hgg65NGsoEPUx6ADWI3VfSzefTiU50+pjPbY118TPfwwUa1apB5o9Oef1btZ4r3NkWLX9XYSCDjkA0FHnPztszr0zx0p/1Zfr5kzPNwUdJjx0xMzXf1UUerUqim7rtCdjvjwXdqW7zG2v2iKs7ZMrvoaWx/aXwQd8ii+FEU6YBD1tAsAscKq/iZDPw5lHVIqIx7bsIFIfO07edJz3+HDRKlSER0/7rntjwzbHQl2XW+ngIBDThB0xFkRXmx8ogBdvflm8SoJ6o483hkerSOf4eHUoEP8HEAc10BM999QuCAdvu9eupTW2lBDHFjy4P330b9hzAhZ9mxJavMjzqwBk+3e7HNaWvqZFEM4MQtscdlS1K05jvfiNBF0yGMkQYcoj0EGiCdW9D8Z+nQo65BSGfHYtWtEmzZ571AQgYf4WD140HuHH6JOKM8rE3ZbXyeBWRxyg6BDEsMPPB6NOPCwe9DR4dtmNPCTD9XtX1LmGfV/w4NN/zdD8Rzb8uVRnrOU+tzi5wTi+Anz//ccX/6ewOu0QKnDbRt0t1PeqExHctzL9hnNrfnz0rDaNdn60J4i6JDHUIMOz1DIcwFABszsi7L061DWI6Uy+seuXCH1IKMFCxJ98433TgZRJ5TnlQm7ra9TQMAhPwg6JDOiwKNqeIGHnYKO7l81Uqf2i5+eiNNuirNRnMt4O7v+Zvlf2rR06L4c6rERxOwQcZaMPo0+ZdevtzIYET8r8l/GmTsz0cRqVdQZOP6PCS+nSUMzK73ILhO620H1PqSNhR5n+43miXuy0IzKFdn60H4i6JDHYAMGOw6CgHswq2/K0sdDWY+UyugfEz9Z6dyZqEIFouLFk3/K4o+oE8rzyoKd1tUpYBaHfUDQIamRBR6vhRR4yBp0xOenJ7erp/oUx+/445WXaPiH71K3rxqx68cpZmZwy132bAn18cEfv0/7H7yfLXPu9gzq/+D7LxPCjt80VfvWeaWPcH1HeD3VTbSi5FOUpAyIuWVA+4igI76Kl9SN67pBg7hf/au7ACA70fZTmfp5KOsSrAz3uDhtbMuW3ht+aOVlaoeUsMt6OgUEHPYCQYfkhht4bM/7KE2q+hq1SyHwiHfQ4fnpSW1pfnrCrWMo9v7iMzoWYDaH/iwZo2rVoKPZsxnKCU/dnZnG1qjqs1wINcfVeJP25XqA7Tuaux/JTb/XrMbWh/YQQUf8FS8n9a930KC+vLwXAOxGpP1Wtv4ebH1CWd+ELXmoa1fvDS81a3rOwMKhLVO2tuCwwzo6BczisCcIOmxi5IFHC8OyYhl0+P70pJj60xMxi4J7frMUPz05fF8OdVZIsJ+eRGOw2Rx6J7z9Bv19151seTFzRbSRfx0IhX0b1lPP1sP1Hc0zme6guRXKmXoaahg7EXTIofpy0l0AsCuR9l/Z+n2w9QllfRM2FKDUqYm2bPHcPnqUKGtWookTPbf90ZYpW1tw2GEdnQACDvuCoMNmRhx4/JAceFgVdNjxpyeRGupsDr3TXq9EF27jz84itiFQPQjbKoPgWS+/SKcz38X2H811RQupp67mlgHlFUFH/GReRgYBsCPhDoJlHDQHW6dQ1lmU6dmTSJwcr3x5z9+ff/Y+yKBfpoxtoiHzujkFzOKwPwg6bGr4gcdjNwKPaIOO+P/05BlTfnoSjeHM5tA756X/BdxnYtusmHkCnePI92sEPMCt5oEHcqoHwuXqQzlF0CGH+pcSAE4gnMGwjAPnYOsUyjqHu1368pG2ybp162j8+PG0bds27z3mE+m6geAg4HAOCDpsbiSBh5hxwT3GBR36n56IWRNi5kFsfnpyr99PTz4xrFu8DDibI1Pg2Rx6Fz1f2lBXc32RJ6hbc+tnpED72rNpQzVQuyLm4jJ9SHgh/a1qP+vS4kt2GVAuEXTEX/HS0f56vuR6vyUBYHNCGRDLOmgOtl5WbJu+fCTt8vXXX9PDDz9MtWrVoly5ctHPKU0fiZBI1guEBgIOZ4GgwyGGG3hwimWIUMH3pydp2bJmGa+fnkRjpLM5NMWZcf56pji7DOHKEsWow3fxmakC7aP4KVSgg9xqbn48Hw2tU4utD+URQUd8FS8X/XUBwg7gJIINjGUdOJu13uFsn3/ZcOpu2LCB0qRJQye95649fPgwpUqVio4fP67eNotw1gmEBmZxOBMEHQ5z2EfvBT1LQ7y8kD497XjsEVpeqgSNq/4m9WtYj90GmY12NodmlxaNae2ThQzL0VxcthRbD0K9Q+q+T5sK5mf7kOaxbFlp2muV2PpQDhF0yKN42WjgSy9wEoEGxzIPmoOtW6jrHs42+pcNp+61a9do06ZN3lukBh7ifeTgwYPee8whnHUCwcF7vXNB0OFQ4x14HM+ahbYWyEtzXipHv7/3NnVu6Ywp9NHO5tCb1Lg+bSmQj13e9ZtuonkvvsDWg1Bv55ZNaNELZejfAAe6FV5NfTMtL/U09WzSgF0GjK8IOuRRfCnSwJdf4DS4AbLMg+aU1i2c9Q53G/XlI2mfK1euUFJSEhUsWJC++eYb773mEMn6AB7xHo/3eWeDoMPhWh14XEqTho7kyK7+9EQcx2PApx859mcXgWdz3BHxGVPEGTJ2P5LbsEzhxVvT0YxXK7L1IPR3wttVaP+D97N9SXPnY4/QqFrV2fowfiLokEd90CHAl2DgNKIdxMeSlNYvnHUPdzv9y4dbX/xkpXPnzlShQgUqXrz4jZ+ymEG46wJ48N7uDhB0uEQzAg8n/PQkGs2czaFX7JuD99/HLvufTHfQxLdeZ+tB6K84oPDaJwuzfUnz77vupNkVy1PbH1qyy4CxF0GHPPoHHQJ8IQZOQxssyz5oTmn9wln3cLfTv3w07fTcc89Ry5YtvbeiI5r1AB4wi8NdIOhwmdNef0W8yoPq1J+eRKoVszn0/l6zGp24J4th+cLjWe9RHn+brQehv+1at1BPY3zmzkxsf9Jc81QR6tfwY3YZMLYi6JBHBB3ALdhh0JzSOoa7/uGU9y8bat0tW7ZQ165dvbc81KxZUz0DixmEu83AF7yXuw8EHS5TnL5UP9jRPJQzh+N/ehKNVs3m0Dup6mv0zx0Z2ec5eH9OGvrRe2w9CDlHv/c27Xr0YbY/aYpZXuOrv8HWh7ETQYc8ckGHAF+QgZPQBsyyD5xTWr9w1z2c8lzZUOqLs66kTp1aDTwER48epaxZs9LEiRPV29EQ7vaCZDCLw70g6HCRo9+rTpfT3CJe8T6KwU6XFu6esZGSVs/m0PtH5Zfov3T8KX13PZqbfqtfh60HIWevL+urpzK+lsJpp89nuI0WlitLnVo1ZZcBrRdBhzwGCjoE+KIMnIJ+0CzzADqldQt3vcMpz5UNtX7Pnj0pffr0VL58efXvzz//7H0kOsLdXuAB79vuBkGHiww0m0MMrrny0GMsZnPonffi80Q3GZ9PuPnxfOrglasHYSCnv/YyHc92D9unNDc+UYAGKwNrrj60VgQd8phS0CHAl2Zgd6IZxMeaQOsVyfqGU0e2Nornc9sVzOIAAgQdLhGzOSKz9xefxmw2h94lZUoZnlNTHGwS+wyGq/jpU6DTGWseuTc7TXmjMlsfWieCDnlE0AGcTqBBs4yDaTPXNZw6srVRvJ7XjiDgAHoQdLhEzOaIzFjP5tDs8O1X6il7uecWLi/1NLX7oQVbF8JAdlUG0H8+96x66mKuXwlFILq0dEnq0exzdhnQfBF0yGOwoEOAL9HArgQbMMs2oA60PpGsZzh1zHzeaInHc9oVvDcDfxB0uEDM5ojMeM3m0Oz+VSPaULig4fk1F71Qhq0HYTDFKYsDndJYc3vex2jEB++w9aG5IuiQx1CCDgG+UAM7EsqgWaaBtdmBQ6j1zH7eaIjHc9oNzOIAgUDQ4QIxmyMy4zWbQ2+fRp/QtnyPsetxJXVqml2xPFsPwmAO+OwjWle0ENu3NE/dnZlmVqpAv/7Uil0GNEcEHfKIoAM4lXAGzLIMrgOtR6TrF2q9lMrFsm1i+Vx2Be/FICUQdDhczOaIzHjP5tA7qN6HtPehBw3rIvz3ttto2uuV2HoQBjPx++Y078UXAp7WWHPV00+qoRu3DBi9CDrkMdSgQ4Av2MBOhDtolmGQHWgdIl23UOulVC6W7RLL57IbmMUBQgFBh8PFbI7IlGE2h17xE4IjObKz63Q68500vvobbD0IQ3HMu9Vo98MPsf1Lc2/uXDT2napsfRidCDqid8WKFTRhwgRav3694bFNmzapj4ky/o/5G07QIcAXbWAHIh0wx3ugHej5rd4erpz2UheP6V/2Vr0FRLqNbgDvuyBUEHQ4WMzmiEyZZnPoHVfjTTp1912G9RIevTcbjXy/BlsPwlAU/X5liafo+k03sX1MeDbj7TS//PPqwXK5ZcDIRNARnb/88gs9//zz1LhxYypbtix17tz5xmMjR46kEiVKUMOGDalMmTLUpk0bn7r+hht0CPClG8hONIPmeA64ueeOxbYEKqe91LXHrXzpR7OdTgWzOEC4IOhwsJjNEZmyzebQO/WNynQ+QwZ2/USANVgZGHH1IAxV8f5w4p672T6mub5wwbiGfk4TQUfkrlq1ivLnz0/79u1Tb+/cuZPy5MlDe/bsoVOnTlGhQoVo9erV6mPivoIFC7KzPjQRdACnYcaAOV6Dbu55o12XUOqnVEb9GBSX6FYjRaLdRieC91kQCQg6HCpmc0SmrLM59M56+UW6fItx3wq353mU+jasx9aDMFSH165J2/LnYfuY5qGcOWhy1dfY+jA8EXRE7unTp28EGUIReIgvNtu3b6fJkyerszj05evVq0d9+vTxuU+vqOtvKOBLOJARMwfM8Rh8c88Z7XqEUt+/jN/Hn/q4/31mEu02OgnM4gDhwH2Gc5/1Vougw2IxmyMyZZ7NoXdhubLsego3FnqcejT7nK0HYah2+6oRLSlTiv5Lm5btZ8L/0qWlxWVLUbfmX7DLgKGJoCN6xeyNAQMG0Msvv0xt27ZV7xs6dCh99NFHPuW+/PJLatasmc99esWXokjBl3EgG2YPmGM9AOeeL9p1CKV+SmXUjz9xiW41AhLt9jkFBBzADBB0OFDM5ohMdTZHNrlnc2i2VQZFInzxX1fNVcWfpI7KgImrC2E4Tn7zVTp8371sP9Pcmj8vDatdk60Pg4ugI3rFT1aSkpKoVq1aVKVKFXVmx6BBg6hu3bo+5Zo2baqqv08vgg7gFPQD5unTvVcYUnqMI5YDce65on3+UOoHKiPuVy/eh614yQd6bjeB91JgFgg6HChmc0RmwNkcpeSazaHZqVUTWlOsCLvOwqWln6E2P7Vi60IYjiLo21C4INvPNE/ck4VmVK7I1ocpi6DDXGvUqKEedFQciLR27do+j4kZHc2bN/e5T280QYcAX9CBLGgD5tatibJnV68aSOmxlIjVYJx7nmifO5T6wZ5X/zI38yUf7bbZHcziAGaDoMNhjq4lZnOk8bzz6sRsjpRNeTbHh2wdGezZpAFtKpjfsN6a88s/x9aDMFw7fttM7U/nMt7O9jXh9VQ30YqST1GSMkjnlgF5EXRE7tq1aw3H3GjUqJF6BpbZs2dTyZIlfR4TwYcIQPT36Y026BDgizqIN2LAfPIkUa1aROL45f5hRkqPhUosBuX+z2HGc4ayjGDPa9VL3Iztsyt43wRWgKDDYWI2R2TabTaH3v4N6tLOxx5h1/9S2jQ085UKbD0II3Fsjaq096EH2f6mufuR3PR7zWpsfWgUQUfkirOu5M2bVw08xO1du3app5OdNGmSeqBSEXRMnTr1RtnHH39cLaNfhl4zgg4BvrSDeCIGzPXqETVpQjRq1HVDmJHSY+Fg9cA8WOAQKcGWo3+cK2vFy9usbbMbmMUBrARBh4PEbI7ItOtsDr1D6r5PBx6437ANwrMZb1ePs8DVgzAS+37+iXocGK6/aYrXz9wK5ai9MnjnlgGTRdARnf3791dPG1uzZk31b+fOnW88JmZ1iOBD/JylcOHCNGbMGJ+6/iLoAHZHGzBfu6b+oalTjbM2UnosXKwcoPsv26znCrYc8bh2iRWxfC5ZwPsksBoEHQ4Sszki086zOfSKg9BygY3wZJa7aew7b7H1IIxEcfyXmZVepFN3Z2b7nOa6ooXot8/qsMuAHhF0yKNZQYcAX+JBPPAfMKcUZpgRdAisGqT7L9es5wm2HKu2JyXi8ZzxArM4QKxA0OEQMZsjMp0wm0PvhGpV6MydmQzbIzyUMwcNx5kxoMmO/OAd2p5XGRwyfU7zwAM5aaLSN7n6EEGHTJoZdAjwZR7EEm6wHIugQ2DFQN1/mWY9R0rLEY+Z9TyhEuvniyd4TwSxBEGHQ8Rsjsh0ymwOvdNfe5kupL+V3a49Dz9EAz79iK0HYaT2aPY5LX22JF2+xXhaa03RJxc9XxrBKyOCDnlE0AHsDDdgjlXQITB7wO6/PLOWH2g52v1mb0cwYv188QCzOEA8QNDhADGbIzIDzeb4J9MdNMiGszn0zn2pHF1LlcqwbcKt+fOq287VgzAap1Z5hY7cq3xrZvqd5ubH89HQOrXY+m4VQYc8mh10CPDlHsSCQIPlWAYdAjMH7f7LitWyzXyeYMTyueIBAg4QTxB0OEDM5ojMQLM5ltt4NofeP597lt0+oegzXZt/wdaDMBoHK4PzTU8UYPud5vkMGWhJ6WfY+m4UQYc8WhF0CPBFH1hJSoPlWAcdArMG7/rlmB0IaMsTf/2XbfZzpUQsnyvW4H0PxBsEHTYXszki08mzOTTbf9+cVpQsbthGzRUln6JEpQxXF8JobKsM2hf8r2zAWUWaIozj6rtNBB3yaFXQIcCXfmAVMg6WzVgn/TK45R0/fpwmTpxIc+bM8d4TOmJ5CdMreG/5Ih5buvQ6HT7svcMiuG1yApjFAWQBQYfNxWyOyBSDMK7dnDKbQ7OrMmASZ73gtlWIgSa0UnHa40AHxxVev+kmtp7bRNAhjwg6gN2QebAc7brp6/sva+rUqZQlSxaqXr06FStWjJ599lm6pp03NwQSWn8TcDZLwqZ8JP4Pcfx47x0WIfO+ixS8zwGZQNBhY0fVqk6XMJsjbN0wm0Nvb2XAJI7L4b+9QvE/7nMrlGPrQWiGHb9pStvy52H7n5Cr4zYRdMijlUGHAIMAYDayD5ajWb9AQceVK1fUkGPevHnee4jy5ctHo0aN8t4KzMmTyrJqDaCEDGfZoOPSJeXxgmspZ05rgw6nhRyYxQFkBEGHjV2H2RwR6ZbZHHrFmVZ2P/wQu90Xbr1VPVMLVw9CM5z2eiW274nZHlx5t4mgQx6tDjoEGAwAs7DLYDnS9dTX018XP1cRszjCRSwjoV5PatJEuT6qKht0NG6sPPZNa6pYEUFHqOA9DcgKgg6bitkckem22Rx6h9euSYdy5jBsu1AMOCdWq8LWgzAaezZpwPa7qzffTGPefYut4zYRdMgjgg5gJ+w0WI5kXfV19Nf79+9P1apVozp16lC6dOkoQ4YM1K5dO++jPFp97dct4kCsCdkPeW54mTfvOhUp4rmeUHGKZUGHnfZbSmAWB5AdBB02FbM5ItONszn0ioHlySx3s20gAqDR773N1oMwUue9+Dzb39Y+WZgt70YRdMhjLIIOAQYHIFrsOFgOd5218v71GjduTKlTp6akpCT19rp16yhTpkz0xx9/qLf94Z7XP+g4fVoMioi2bfPcRtCRMngPA3YAQYcNxWyOyHTzbA69k998lc5mvN3QDsIDD+SkoXVqsfUgDNc+jT6lo9mzGfrZhfTpacQH77J13CiCDnmMVdAhwEABRINdB8vhrLdW1r9Oz549KU+ePN5bHj744ANVfwI9n3/QUbs2UbVqnvvVx4otp5YtRYjiLWASdt1vGpjFAewEgg4buq4oZnNEottnc+j945UKdCltWrY9dj72MPVvUJetB2E4LnqhDNvHVj1djC3vVhF0yGMsgw4BBgwgEmw/WA5x/bVy/uXHjh1rCDpq166tqiHqpPQ8/kGHCDXEcTk0E7IcU3/GkpjoLWASKa2TzCDgAHYEQYfNxGyOyMRsDqPzy/M/KRBuLphfPbYCVw/CUOxfvy77Mykxm0icdpar41YRdMgjgg5gB+w6WNYIdf21cv7lL126RJkzZ6bJkyert48fP045cuSgOXPmqLdDWb5/0OGPFT9dset+w/sUsCsIOmzmuqKFxDuOQczmSNkF5TCbg3NpmWfYdhGuKVaEOrdswtaDMJhLS/N9a3mpp9nybhZBhzzGOugQYBABwsGug2V/QtkOrQxXdsGCBZQzZ04qUaIEZcyYkVq3bq3eH2r7iKBDnHUlUHkEHcr6Ku9NeH8CdgZBh43EbI7ITHE2Rz13zubQ7KgMqlYVf9LQNprLSpWgtj+0ZOtCGEjxuhJn8vHvT6cz30kDP63N1nGzCDrkMR5BhwCDCRAKdhsoByPY9miPh7rdkbRPoDqRLCslzF6e1eA9CTgBBB02ErM5IhOzOVK2e7PPaWOhx9k2Ei5U2o+rB2Eg/ypZnO1Li8uWYsu7XQQd8uikoGPTpk00fvx4WrRokfceYHfsNlgOhZS2SXsslO2OtG0C1Yt0eYEwe3lWgVkcwEkg6LCJmM0RmZjNEZp9P69H2/MqX/D92kl45ZZbaNbL5dl6EPo77KP36PztGQz96ETWLNSv4cdsHbeLoEMe4xV0CMwcXNSvX58eeOABeuedd6hgwYL0zDPP0MWLF72PAjtil4FyJKQUNgTb7lDKpESgutEs0x8zl2UlCDiA00DQYRMxmyMyMZsjdAfX+0ANzrj2Op/hNppa5RW2HoR6Vz9VlO1D4rXIlYcIOmQynkGHwIyBxpo1ayhNmjR08uRJ7z1EBQoUoL59+3pvATtil8FypHDbJ+5LabvNaJNAyzBj2RpmLssKMIsDOBUEHTYQszkiE7M5wnfk+zXoyL3i6Fy+bSY8lfkuGlfjTbYehMJRSv+5mC6doe8cyZGdkpSBO1cHIuiQyXgHHYJoBxz79++nWbNmeW95qFKlCn3zzTfeW8BuyD5QNgv/7RS3A227WW0Sr+XLAgIO4GQQdNhAzOaIzMCzOXDWh5QcX/1NOp35LrbtxIB15AfvsPUgXF/kCbbfzK1Qji0PPSLokEcnBB3+7NixQ53hIWZ6AHsi+2DZTPTbKq5z2252e1j5HGavq1lgFgdwAwg6JBezOSITszmiU/xM5d/bbjO0n3DvQw+iDaHBMe++RVdSpzb0lwMP5FQPeMvVgR4RdMijDEGHwKwByMGDB9VTcP7444/ee4DdkHWgbBXqR4d3m8XfG9e992u3zYRbplnPY8X6RgMCDuAmEHRILmZzRCZmc0Tv7Irl2YGrcHvex6jv55+w9aA73VwwP9tXZr5SgS0Pk0XQIY+yBB2CaAcjy5cvpyxZslBiYqL3HmBHZBsoxwL140N/8d62Cm7ZZjyflescCQg4gNtA0CGxmM0RmZjNYZ4LXyhjaEfNDYULUvev8D/18BuaUK0K20f25M6F96oQRNAhj04JOsQxOjJlykRjx4713gPsiGwD5ViifoyIi/evlXDLN+M5rV7vUMEsDuBWEHRILGZzRCZmc5hnux9aqO3Gtadw1dNPUodvm7F1oTts3/pr2pbvMbZ/THu9ElsH+oqgQx5lCjoEkQxOdu3aRRkyZKDJkyfTpUuXbnjlyhVvCWAXZBkoxwq/jxB1+9WL7j4r4NqZuy8coq1vFgg4gJtB0CGpmM0RmZjNYb6dW35Ja4sVNrSp5pIyz7D1oDuc8kZltl/sfOwR6vDtV2wd6CuCDnmULegQhDtQady4sVrH308//dRbAtgBWQbKkSLW35SL+EhRLlbj/xzRPmcs1jkltNc9AG4GQYekYjZHZGI2hzX2+rI+bX6cPwaDcF7559l60Nl2/KYp7Xo0N9snJlV9ja0DjSLokEcZgw4BBizyMn2694qOdeuIxo8n2rbNe0eYxHOQLJ7bjEs0eD5GlKXo/0a5zGD4Lz+a57N6XYOB9wsAPCDokFDM5ohMzOaw1v716yqD2ocN7Sv8L11ahHAudMarFdn+sDV/XmqrDNy5OtAogg55RNABwqF1a6Ls2b03vHz9NdHDykdlrVpEuXIR/fyz94EwiGSgLOqYcYk3no8Rz3rou716v4Xr57/saJ4rXu3oCYXi89wAyAiCDgnFbI7IxGwO6x1ap5Z6ulCunc/ekRH/i+8iu379hRq++veDa6lS0fjqb7J1IC+CDnmUNegQYAAjDydPeoKMDBl8g44NG4jE/1OJxwWHDxMpb4l0/LjndiDEwDjaixPw7+P+XV4dyFu0rf7LjfR54rUv8P4AgBEEHZKpzuZIi9kc4eqZzXGPod0wm8N8f3/vbTqe1djWwhP3ZKEx71Zj60FnOevlF9k+sPGJx9nyMLAIOuRR5qBDgMGMHNSrR9SkibI/RlWlhOyH1MGtermWihI25Uu+fTKz563xYI7k+5iLHv/bboHr21x3tyrsMGs/xHr/qe3BNRQAAEGHbGI2R2RiNkdsnfjW62qIxLX5wZz30bDa77H1oDPs2bQhHVL2s/++v5wmDf1e8222Dgwsgg55lD3oEGBQEz1iMBrVRQQaymXqVONPVwTiBDdJSUQFCxJ98433zhAQy3Qj4fZpK8IO/+VFsvxY7z+8FwCQMgg6JHJUrRqYzRGBmM0RH8XxGS7ems7Q7sLdj+SmAZ99xNaD9nfeiy+w+33tk4XZ8jBlEXTIo92CDt1VV+AZ3kZ/MYtAQYf4yUrnzkQVKhAVL578U5ZgmLludiHSwbrVYUcky47V/lO33W0vfgAiAEGHRGI2R2RiNkf8nFvhBbp+001s+28pkJeSlMEaVw/a1z6NPqWj2bMZ9veF9LfSiA/eYevAlEXQIY/2CDqEyj/e6xr66zIiBoHRXmQjUNCh57nniFq29N5IARm3z2qiHaybHXbolxXucmOx/xBwABAeCDokEbM5IrO3MujCbI74urjss4b21xThXVdl0MbVg/Z00Qtl2H296ukn2fIwuAg65NEOQYfA87ITg57k21YhBnBmXJyIf9CxZQtR167eG15q1vQcuDQYTm2jQJg1YDcz7NAvJ9xlWr3/EHAAED4IOiQRszkiE7M54m/id81pRYmn2P0g/OuZ4tS+9ddsXWgvxSmGT2a527CPz2a8nYbUqcXWgcFF0CGPdgk6BPqXIYdn+Bf9BQTGP+gQZ11JndoTeAiOHiXKmpVo4kTP7UC4rZ3NHrSbFXbolxHO8qzcf+q2mdxeALgFBB0SiNkckYnZHPLYrfkXtL7IE4Z9ofnn86XZetBeLi3zDLt/ESxGJ4IOeZQ96DC8/FK4AOvhfrrSsydR+vRE5ct7/v78s/eBFHDL/rJy0G5G2KGvH86yon3eQCDgACA6EHRIIGZzROZCzOaQSnFQ2G3587D75OrNN9Ocl/7H1oP2UISHZ+7MZNi3p++6kwZ+WputA0MTQYc82nJGh0WDLBAb3LL/YjFojzbs0NcNdTlW7D91O2LQXgA4HQQdcRazOSJTHBDxODeb4w7M5oinAz+pTXty5zLsF+GF9Olp2muV2HpQfv8qWZzdr4vLlmLLw9BF0CGPdgk6xMtP+ysGWtptYC+sGCTLSCwH7WaFHcGWsW3bNho/fnzQcuGCgAMA80DQEWcxmyMyMZtDXod/+C4dvu9edv/8fdedNOHtKmw9KK/DPnqPzt+ewbA/T9yThfo1/JitA0MXQYc82iHoEC8/De26OrTT3Q/sgdmDZBmJx8A9mrBDq5dS/cTERMqaNataRrxn1K5d2/tI5KjrjBcxAKaCoCOOYjZHZGI2h/yOfacqncyS2bCPhMeyZ1X6fnW2HpTT1U8VZfelOBgwVx6GJ4IOebTLjA4N8VJU/6YwKANy4oZ9Fs+Be6Rhh1YnUN1r165R6tSpacOGDWqZ06dPq7fXrFnjLRE+CDgAsAYEHXEUszkiE7M57OGUN1+lc7ffzu6r/Q/eT0Pqvs/Wg3I58v0adPHWdIZ9eCRHdkpSBuNcHRieCDrk0W5Bh55IBnUgfjh9f8kweI8k7NCX5+qKoCNVqlQ3Hrt06RKlSZOGli5dqt4OB3X9JGgnAJwKgo44idkckRl4NkdGzOaQ0JmVKtBl5QuA//4S7njsEerXAD97kN1AZ9OZW6EcWx6GL4IOeUTQAWKB0/eVTIP3cMMOfdlA9ZKSktTHWrZsScWLF6f69et7HwkNBBwAxAYEHXESszkiE7M57OeC/z3H7jPhpicKUM+mDdl6MP6OefctupI6tWG/HXggJ3Vv9jlbB4Yvgo7oXbFiBU2YMIHWr1/vc/+ePXto3rx5Ph44cMCnjF47Bx2CcAZ0IH44eT/JOICPNOwIVOedd95RH+vevTtVrFiRXnjhBTp37pz30ZRBwAFA7EDQEQcxmyMyMZvDnrb5qRUtLV3SsN80xfEfOrVqytaF8XVTwfzsPhMzdbjyMDIRdETnL7/8Qs8//zw1btyYypYtS507d77xWLdu3Shv3rxUqFChG86YMcOnvl4EHcBqnLyPZB7EhxN2aOW48hMnTlTvv3LlivceUoOO7777znuLR31+idsHACeCoCMOYjZHZGI2h33t9E3TgAe0FC57tiS1UQZ6XF0YH8XZcbh9tTd3LgSyJougI3JXrVpF+fPnp3379qm3d+7cSXny5FFncojbn332GfXr18+nTkraPegQhDqYA/HBifvHLoP4UMMOrQxXtn///ob769WrRzVr1vTeMoKAA4D4gKAjxmI2R2RiNof97dG0ofpTFf99qLngfziDhyy2a/01bcv3GLufpr1eia0DIxdBR+SKMx6sXr36xm0ReIgvNtu3b1dvlytXjmbPnq0GHydOnLhRLpCirr92JJTBHIg9TtwvdhvEhxJ2aI9z5cR96dKloy1btqi3xXtQvnz51ADEH/W5bNY+ANgZ7jOc+6y3WtcGHZjNEZmYzeEM+zX8mHbkeYTdl5fT3EKzKr3I1oOxdcobldl9tPOxR6jDt1+xdWDkIuiI3lOnTtGAAQPo5ZdfprZt2964T8zuqFChgnrAQHG9adOmhrp6xZciJxBsIAfig9P2i10H8cHCDu0xroy4TxyMNGPGjPTcc8+pfxs1auR9NBkEHADEHwQdMXTU+5jNEYmYzeEsByuDt/0PPmDYn8Jzt2dQB9lcPRgbOyoD7V2P5mb3z+Sqr7F1YHQi6Ihe8ZMVMfioVasWValSRZ3ZIf7HVUwpF39FGTHLo1SpUur/vPrX13RK0CFIaSAHYo/T9ofdB/IphR3a/f6Ph7IP1eXavG0AcAoIOmIoZnNEJmZzOE/xE66j2bOx+/XU3ZlpbI2qbD1ovdNffZndL1vz56W2P+A4KlaIoMNca9SoQW3atGEfa9WqFTVo0IB9TIigA1iB0/aFUwbywcIO/8cCldVAwAGAXCDoiJGe2Rxpxbugj5jNkbKYzeFcx7/9Bv19152GfSs8fN+9NOLDd9l60Dq7KgPsfQ89aNgf11PdROOrv8nWgdGLoCNy165dS3369PG5T0wjF2dg2bBhAw0aNMjnsWbNmqmP6+/T66SgQxBsYAZig5P2g9MG84HCDs+9yfdzZTTUZTisXQBwAgg6YiRmc0QmZnM4W3Fgy39vS8/uY3F2j4Gf1GbrQWuc9fKL7L7Y+EQBtjw0RwQdkSvOuiJOHysCD3F7165dVKJECZo0aRKtWLFCfUw7WKn46Yp4zMmnl/UnpcEZiA1O2gdOHcxzYYfnnuT7/B8XIOAAQG4QdMRAzOaIzD6NPsFsDhc4p+L/6OrNNxv2s3BbvjxqP+DqQXPt2bQhHcx5n2EfiIPE/l6zGlsHmiOCjugUx9woWLCgenpH8bdz5843HhOnli1UqJD6cxbxt0ePHj51/XVa0CHgBmggdjil/Z0+oPcPOzy3PLf192sg4ABAfhB0xEDM5ohMzOZwj4ueL83ua+H6wgWp21eN2HrQPOe9+ALb/uL9iysPzRNBhzwi6ABm4pS2d8ugXh92eK4lX9dQy7ikPQCwOwg6LBazOSITszncZbvWX9NfzxQ37G/NlSWKUYfvcFpTq+z9xafswWEvpL+VRnzwDlsHmieCDnl0YtAh0A/UQOywe7u7cVCvfvx595v4e+O6uN9lbQGA3UHQYbGYzRGZmM3hPkXwt/bJwux+Fy4uW4qtB6N30Qtl2DZf9fSTbHlorgg65NGpQYdAG7CB2GD39nbzoP5GuKFd1I9EvH4AsBsIOiwUszkiE7M53GvSl/VpS4F8hn0vvH7TTerPK7h6MHL7169LJ7PcbWjvsxlvp6F1arF1oLki6JBHBB3ALOzc3hjUe/afekFTAGBbEHRYKGZzRGbA2RzPYDaHG/ztszq0+5HcbB+4eGs6mvFqRbYejMwlZZ5h2xqzp2Ingg55dHLQIbDz4NtO2LmdXT2TI/kj0KO4+N0HALAPCDosErM5IlOdzZEVsznc7rCP3qOD9xvPAKL2hUx30KS3XmfrwfAUr6kzd2YytPHfd92JU/vGUAQd8oigA5iBXdsZMzmS0X8sAgDsCYIOi8RsjsjEbA6oKU5peuKeLGx/EGHY7zXfZuvB0A10AFgcDyW2IuiQR6cHHQKEHdaCkMP+aE3h/xcAYC8QdFggZnNEJmZzQH8nVX1N3f/+fUJ48P6cNPSj99h6MLhi1sy52zMY2lWES/0afszWgdaIoEMeEXSAaEDIYX/0TRHoOgDAHiDosEDM5ohMzOaAnOJ18186Y3Ao3PVobvqtfh22HkzZ1U8VZdtUvA658tA6EXTIoxuCDgHCDmuwY7si5AgMmgYAe4Ogw2TFbI7/MJsjbFOezfEBWwe6R3G2FXHWFf/+IdzyeD7q9WV9th7kHam8T4kDu/q35ZF7s1OSMsDm6kDrRNAhjwg6QKQg5AAAALlA0GGya5/EbI5IxGwOGMwlZUuxfUS49snCCBLDcH2RJ9h2nFuhHFseWiuCDnl0S9AhQNhhLnZqTxFwIOQAADgdBB0mKv6XFLM5whezOWAodvj2K1r5dDFDP9EUoVi71i3YujDZMe++RVduSW1ovwMP5KQezT5n60BrRdAhj24KOgQIO8zBbiEHAAC4AQQdJorZHJGJ2RwwVLt/1Yg2FC7I9hfhohfKsPVgspsK5mfbbmalCmx5aL0IOuQRQQeIBLu0I0IOAICbQNBhkpjNEZmYzQHDVfSZbfkeM/QZ4ZXUqWl2xfJsPfgNTXi7Cttue3PnwvtUHEXQIY9uCzoECDuiAyEHAADICYIOkxTHCPAfPAgxmyNlMZsDRuKgTz6kvQ89yPadf2+7jaa9Xomt52bFz3oCBUTTXkN7xVMEHfKIoAOEix3aDyEHAMCNIOgwQczmiEzM5oDROOKDd+hIjuyG/iM8nflOGl/9DbaeW53y5qtsW+187BH1+CdcHRgbEXTIoxuDDgHCjshAyAEAAPKCoMMEMZsjMjGbA0bruBpV6dTdmdl+dPTebOrpnrl6brOjMnje9ejDbDtNrvoaWwfGTgQd8oigA4SD7O2GkAMA4GYQdEQpZnNEZqDZHGfvyEiDMZsDhuGUNyrT+QwZDH1JKF6Hg5XBIlfPTU5/9WW2fbbmz0Ntf8CZauItgg55dGvQIUDYER4IOQAAQG4QdEQpZnNEJmZzQDOd9fKLdPmWW9g+tSPPo9S3YT22nhvsqgya9zHHM7l+0034eY8kIuiQRwQdIFRkbS8RcCDkAAAABB1RidkckYnZHNAKA4Vnwo2FHqcezT5n6zldEQKxbfJEAbY8jL0IOuTRzUGHAGFHaMgccgAAAPCAoCMKMZsjMheWK8O221+YzQGjsK0yUFz2bAm2bwlXFX+SOn7TlK3rVHs2bUgH77/P0BaX09xCv9esxtaBsRdBhzwi6FDeI0CKIOQAAAB7gKAjQjGbIzIxmwNaaadWTWjNU0UM/UtzaemS1OanVmxdJzrvxRfYdlhXtBBbHsZHBB3y6PagQ4CwI2VkbB+EHAAAYARBR4RiNkdkLnwBszmgtfZs0oA2FczP9jPh/P89x9Zzmr2/+JSOZs9m2P4L6W9VT83L1YHxEUGHPCLo8ICwgwchBwAA2AcEHRGI2RyRmeJsDuULPVcHwkjs3+Bj2vnYI4a+JryUNg3NfKUCW89JBgoVxU94uPIwfiLokEcEHR4QdPDI1i4IOQAAIDAIOiIQszkiE7M5YCwdUvd92v/g/WyfO5vxdpr85qtsPSfYv0FdOpnlbsN2n1O2e2idWmwdGD8RdMgjgo5kEHb4gpADAADsBYKOMFVnc6TDbI5wxWwOGA9H16pOx7JlNfQ7oQgCxr7zFlvP7i4p8wy7zctLIVSUUQQd8oigIxkEHb7I1B4IOQAAIDgIOsIUszkiE7M5YLycUK0KnbkzE9v/DuXMQcNr12Tr2dVB9T6kv5nt/fuuO2ngJ7XZOjC+IuiQRwQdviDs8ICQAwAA7AeCjjDEbI7IxGwOGG+nv/ayehBO/z4o3PPwQzTwU+cEAH89U5zdziVlS7HlYfxF0CGPCDp8QdDhQYZ2EAEHQg4AAAgdBB1hiNkckYnZHFAG57xUjq6lSsX2xa3586hnKeHq2cmhH71H527PYNi+E/dkoX4NPmbrwPiLoEMeEXQYcXvYIUvIAQAAIDwQdIQoZnNEJmZzQJn887lnDX1Rc32RJ6hr8y/YenZxdfGi7LYtLFeWLQ/lEEGHPCLoMIKgI77bj5ADAAAiA0FHiGI2R2RiNgeUyfbKQHJFSf6nHcIVJZ+ixO+bs3VlV4SxF29NZ9imI/dmp97KoJmrA+UQQYc8IujgcWvYgZADAADsC4KOEMRsjsjEbA4oo12VQeS6ooUM/VJTzPrg6snuuv+3dy7AUdR5Hj93iYoLrrrCrQ/EUxZBILzUyOOAw8jDsBBAHoKICHJRBAUkh6BeRassUaEQj1JRSuPlPHRBWDAbFZBl5dxiWR6iQcBEVBAfIFrH3lLKLr+bX2cm9sz8E0jPq6f/n2/Vp5Lp7n9n/tPdme7P/P49XToa+/P2gHzj8uAfEB3+AdFRd+q66K+oCP/iSmWlyMqVIu+8cyI8JfuC5CCEkOwOouMUoJrDG3VXc+QZlwdIF8+ELiJ3t29r3D/1Ph7ZJgeW3zxKjuc0iuvLgUtayOLiu41twD8gOvwDoqPumC78S0pELrgg/CCcu+4SadlSZOxYkdxckR49RI4dC8/MomRSdCA5CCEk8SA6TsKyW8dSzeEBqjnA77xw5yT5uNVlcfuocqxxY6kYUmBs50cqc9sb+/HWoAHG5cFfIDr8A6Kj/kQu/g8fFhk/XqRJk2jRsX27yOmn18yPpH3o39Nzz4UfZEmQHIQQkv1BdJwEqjm8QTUHZAMvTxwnn7e4yLivfnfuOfLbUUON7fzEqtHD5cRpp8U9/08uvxQZmyUgOvwDoqP+RARAUZHIvfeKvPLKiSjR8dlnImvXhh+EM2yYyAMPhB9kSTIlOpAchBCSvCA66oFqDm9QzQHZxPKbR8qh5ufH7a/KV79sLq/eMtrYzg88VjJH9lzZxvjcKwqzpyLFdhAd/gHRcfKoBPj732t+Ly+PH7rizkcf1VR4aKVHtgTJQQghwQiiox6o5vAG1RyQbawZMUT+9+ymxv12f8sWUnb7eGO7TLPmxiHG51x1RSuZ/2CxsQ34D0SHf0B0nDxuEVCf6DhwQKRFC5GHHw5PyJKkW3So4EByEEJI8oPoqAOqObxBNQdkK2/+eqB8f0b8Ma9UtW4lS++abGyXKRaELoirQ8/L9HxVgJjagD9BdPgHRMepJSID6hIdmzefkGbNRJ54IjwhS5IJyUEIISQ1QXTUAdUc3qCaA7KZ3/fra9x/lV257eTpe6ca22UCHZpiep6727WRxx6aY2wD/gTR4R8QHaeW+kSH3qPjnHNEVqwIT8iipFN0IDkIISS1QXQYoJrDG1RzQBB4t3ePuH04wvaru8jCufca26WTRaEL4U8uuzTu+elNSVfeNNzYBvwLosM/IDpOPSoFYkVHdXXNN7GsWSPy/fc/cvx4eAEfB8lBCCHBCqLDANUc3qCaA4LAggeLZWveVcZ9Wdncs5vMy3DFxNqC/sbnVtmxvXF58DeIDv+A6GhY/qH8hijRMWNG3L8lhzvvDC/g46RLdCA5CCEkPUF0xEA1hzdqqjmaxb1uVHNANvIfxXfLB506xO3PEf6Q38fYLh0snjVNDlxycdxz+iEnR34zbpSxDfgbRId/QHQ0LOmsgkhlkByEEBK8IDpioJrDG1RzQNB47u4i2ds2dNFj2K+P5+TI2oJ+xnapZkP/64zP6b2unYzLg/9BdCSPTZs2SVVVVdS0yspKWbVqlWzZsiVquglER8OT7bIDyUEIIcEMosMF1RzeWHI31RwQTEqLJsinl7WM27eVvzT5mZQP+7WxXap4dvqd8uWFv4x7Ln89q7EsmzDW2Ab8D6IjOWzbtk3atWvnSI3ItGXLlkm3bt1k2rRp0rt3b3n00Uej2sSC6Gh4EB0nD5KDEELSH0SHC6o5vEE1BwQZFaBfXHiBcR8/8ovz5LWbbjS2SwV1HWt6TxHT8pAdIDoS59ChQ1JQUCC9evWqFR3ffPONdOrUyREg+njfvn2Sm5srO3fujGrrBtHhLdkqO1L9vFVwIDkIISQzQXSE0U9DqeZoOHVWc5xNNQcEh5U33ehIjdj9XPniogvSUk2xdOpkOdzs/Li/f/TsplJ2+3hjG8gOEB2JU1JSIvPmzZMJEybUio41a9Y4VRzu5YqKimTJkiVR09zoSVEs5ORBdMQHwUEIIemN6T3c9F6fanwnOqjm8AbVHGALOkzl/5r8zLi/61e9lhbdZmyXLOr62tvNPa41Lg/ZA6IjMdavXy+DBw92fneLjrKyMpk0aVLUsjNnzpTi4uKoaW70pIh4S7bJDiQHIYQEO4iOEFRzeINqDrCNdTf0k+ONGsXt88retlfIc6FjwtQuUUrvuE2+PfecuL/57Xnnyot3TDS2gewB0eGd/fv3S35+fu1wFLfoKC0tlcmTJ0ctP2vWLAf3NDeIDu9BdNQEyUEIIf4IoiME1RzeoJoDbKSu/V55v1Ou89W0pnaJoMeU6e+926encXnILhAd3lFpMWXKFCkvL3coLCx0bjiq37CiNyKdOHFi1PJa0TF79uyoaW4QHYklW2QHkoMQQoIf60VHTTXHmbUXDhGo5qgfqjnAVh57aI5s7nlt3L4fYeu1V8n8B4uNbb1QNukWOdq0SdzfOdS8mTw/9V+NbSC7QHR4R6WGVnFEyMvLc4axLF68WNatWyfdu3ePWl7FhwoQ9zQ3iI7EYrPoQHIQQoi/Yr3ooJrDG1RzgM0snDtTtl/dxXgMKHo/DVM7L2zLu8r4N/6Q38e4PGQfiI7k4R66cuTIEUd0aKWHPt66dat06NBBqquro9q4QXQkHr/LDiQHIYTYEatFB9Uc3tD7EFDNAbbz9L1TZVeHdnHHQYTf9+trbNcQ9KttjzVuHLdu/brbZ6dPMbaB7APRkTzcokPRqo5u3brJmDFjpHPnzrJ8+fKo5WNBdCQnfpYdyX5uSA5CCPFnrBYdVHN44x2qOQAclt41WapbtzIeD3qD40T/l7zXtZNx3W8PyDcuD9kJosM/IDqSE7+KDiQHIYTYE2tFB9Uc3tBqjkPGao6mVHOAlZTdPl72t2wRd0w4x8XPz5bVIwqN7U7G8ptHyfGcnLh1HrjkYllcPM3YBrITRId/QHQkL36THcl8Pio4kByEEOLvWCs6qObwBtUcAPG8esto+fofmxuPDb1pqEoLU7v6qMxtb1zfW4P6G5eH7AXR4R8QHclLUEUHgoMQQrIjVooOqjm8QTUHQN38duRQ+e6cn8cdH8rnLS6W/5o4ztjOxKrRw+XEaafFreeTyy4N/Y+aYWwD2Quiwz8gOpIbv8gOJAchhNgXK0UH1RzeoJoDoH7eGHKDHGscL1GVj391mbwwZZKxnRv9+to9V7YxrqOisMDYBrIbRId/QHQkN0ESHUgOQgjJrlgnOqjm8AbVHACnxtsDrpMTP/lJ3LGifNi+rTwTuoA1tYuw5sYhxrZVV7SS+Q8WG9tAdoPo8A+IjuQn07IDyUEIIXbGOtGx42qqObxANQfAqfM/ff7ZeLwo+k0qi0IXsqZ2C0IXuVV1fIuLChBTG8h+EB3+AdGR/GS76EByEEJIdsYq0UE1hzeo5gBoGE/8+2zZ0u2auGMmwp+658njoYva2HY6NMW0/O52bZwhLbHLQzBAdPgHREdqkinZgeQghBB7Y5XooJrDG1RzADScp2ZPl51dOhqPHWVT315Ryz8ZurjVm43GLqc3JV05enjUshAsEB3+AdGRumRCdiTyN5EchBCS3bFGdFDN4Q2qOQC88+z0O2VPO/ONRf/205/K+oHX1y67dlB/43KVHdtHrROCB6LDPyA6Upd0iw4kByGE2B1rRAfVHN6gmgMgMV68Y6Lsu/yfjMfRX886yxmusnjWNDlwycVx83/IyZHfjBtlXC8EB0SHf0B0pDbplB1e/pYKDiQHIYQEI1aIDqo5vPHc3UVUcwAkgZdvu1kOXnxh3LGkfHveOfJBx/bGeXrjUtP6IFggOvwDoiO1SZfo8Co5CCGEBCdWiA6qObxBNQdA8lgxdoQcbna+8Zg6ntMobtqxxo0dSWtaFwQLRId/QHSkPqmWHUgOQgghmsCLjv92qjnOqL14iEA1R/041RzNqeYASCav3zhEjjZtGndcmdiad5VxHRA8EB3+AdGR+vhNdCA5CCEkmAm86Pi8xUW1Fw5u3u+UK0vuucPYBqjmAEgVq0cUGo8tN0fPbiplt483tofggejwD4iO9CRVsgPJQQghJJJAiw69CWDsBUQsejPAPVdeIesH5ktp0W3yeMl9xnXZBNUcAKlF/9/EHl9u/tQdoWgTiA7/gOhITxIVHV9//bVs3LgxjoasF8lBCCHBTqBFx9oC89c11sfxRo1kf8sW8sdePWT52JGy4IFZxnUHmTqrObj4AkgaejyZjrMTp50mi+6bbmwDwQTR4R8QHelLIrJjxYoV0qRJkyh0fUVFReEl6g+SgxBCgp9Aiw69WNCLhtgLiYaiNxDccVVneX344MAPd6GaAyA9zAtd2JqG1u1t09q4PAQXRId/QHSkN4lWdkTy5ptvOus6fPhweErdQXIQQogdCbToUH43dFBSZIebIA93oZoDIH2o7Pjywgtqj7MDl1zsTDMtC8EF0eEfEB3pTTJEx9GjR531VFRUhKfUHSQHIYTYk8CLDuXJOTNk1ehh8vaA66SyY3s51Nz8FY9eOdq0iVS3biXv9u4R+jvD5dnpdxqfh9+hmgMgMzz1b/fIwrl8C5StIDr8A6Ij/UlUdsydO/ek61DBgeQghBC7YoXoiOWxh+Y4NyqtKCxwvsJRP0X9IScn6uI+EY6H1qXr3JbX1fkbpXfc5vxN03PxE1RzAACkH0SHf0B0pD+JiI5jx4457Tdv3hyeEh8EByGE2BkrRYcJrcLQagytytDqDK3SiL3gT4TDzc+Xytz2sqH/dbLs1rGyKHQia3oemYJqDgCAzIDo8A+IjszEq+woLS2tty2SgxBC7A2iow5URCy7dYwjJlRQ6A1JYyVAIriHu6z0wXAXqjkAADIDosM/IDoyE6+iQ9s98MAD4UfRQXIQQojdQXScIo+VzHFuPFoxpEC2XdPVGZpyPKdRrRBIFB06o+vUoTQ63OXFNA53qb+a41ZjGwAASA6IDv+A6MhcGio7dPlmzZpJeXl5eMqPQXIQQghBdCRAzXCXYeHhLpcnfbiL3jRVb576dni4y5MpGu5CNQcAQOZAdPgHREfm4kV0qNA4ePBgeEpNkByEEEI0iI4k4h7usiu3XQqGuzSVqiQPd6GaAwAgsyA6/AOiI7M5VdlR13JIDkIIIZEgOlLI4yX3OcNd3hhygzPc5fMWF8nxRqkc7jKxwcNdqOYAAMgsiA7/gOjIbBIRHUgOQggh7iA60sySe+6QVaOGyR979ZDqX10uf2mSouEuA66TZRPqH+5CNQcAQOZBdPgHREfmczLZETtfBQeSgxBCSGwQHRlm0ezp8sr4MbKhX9/wcJdf1AqHZPDjcJeeccNdqOYAAMg8iA7/gOjwR+qTHe55CA5CCCF1BdHhM2qGu0xwhrtsv6aLM9zlbykY7qJSRSVI7HyqOQAA0guiwz8gOvyRukQHkoMQQsipBtGRBSycO1OWjx0pm3t2S/p9PmKhmgMAIL0gOvyDzaLDb32PSA09PYnkx2muiUkK297esO3tDds+2NE+mt7rUw2iIwG06uM/J98qG/r3lT1XXiHHzjyz5kwgQVSgLLpvuvFvAgBAakB0+AdOev0R57QkRnTo45rTlfCEJIdtb2/Y9vaGbR/saB9N7/WpBtGRZPQmp78bOkh2duno+Wtt3+vaybhuAABIHYgO/8BJr3/inJqE5Ybz2Pk9/CAFYdvbG7a9vWHbBzvaR9N7fapBdKQYL8Ndnp55l3FdAACQOhAd/oGTXn8lIjpSLTk0bHt7w7a3N2z7YEf7aHqvTzWIjjQTO9zl+zNOj5IcG6/vY2wHAACpBdHhH/SkCDKL69SkhojscGFqBwAAEIvpvT7VIDp8gH67y9qC/vL81MnG+QAAkHoQHQBm3HLDNB8AAMBvIDoAAABCIDoA4onIjdifAAAAfgbRAQAAEALRARCNW2rU9TsAAIAfQXQAAACEQHQA1A1yAwAAsglEBwAAQAhEBwAAAEAwQHQAAACEQHQAAAAABANEBwAAQAhEBwAAAEAwQHQAAACEQHQAAAAABANEBwAAQAhEBwAAAEAwQHQAAACEQHRknsrKSlm1apVs2bLFOD/IVFRUxE0L+uuxbds2p38bN26Mm2fDvqB90z7u3Lkzbp4tx8KmTZukqqoqalrQ+75v3z7ZsGFDFPv376+db0P/V69eLevWrYubF+S+m7a74j7+bTnu0wWiAwAAIASiI7MsW7ZMunXrJtOmTZPevXvLo48+alwuiMyfP1+6d+8eNS3or8f999/v9Ev7V1BQICNGjJCvvvrKmWfDvvDII49I3759ZcaMGdKnTx9ZuHBh7TxbjgUVXe3atXMu7CLTbOj7U089JW3btpVOnTrV8sYbbzjzgt7/8vJyycvLk6lTp0phYaGMGjVKjhw54swLet9fe+21qG2utGnTRmbPnu3Mt+W4TyeIDgAAgBCIjszxzTffOCd9euGjj/WTr9zcXOMn3UHi008/dS50te9u0RH012Pz5s3OBa72PzJt4MCBUlpaasW+sHXr1qj+a0WDXvBoX205Fg4dOuQIrl69etWKDlv6PmXKFHn++efjpge9/9o/lRzr16+vnTZgwABZvny5Ndvejcqtnj17Ov8HbOx/OkB0AAAAhEB0ZI41a9Y4n2C5pxUVFcmSJUuipgUN/STv4Ycfdk703aIj6K/H7t275a233oqapv2bN2+eFfuCfoIduaBR9EKndevWsnfvXmuOhZKSEmd7T5gwoVZ02NL3/Px8Z9iGXsyq8IlMD3r/dbiKVnGY5tmy7SMcPHjQ+Z8fGbJoW//TBaIDAAAgBKIjc5SVlcmkSZOips2cOVOKi4ujpgWNSMm2lnO7RYdtr8f777/vVDhopYdNfddPcV944QWnskEv+nWaDf3XT/QHDx7s/O4WHTb0Xbe5Vu9oJYNWN+jvs2bNcuYFvf8vvfSSU82i/enQoYNTwaDDeHSebf/zdFjK+PHjax/b1v90gegAAAAIgejIHDpkYfLkyVHT9OQ/cgEQdGJFh02vh1Yx6PCFBQsWOI9t6rsOWXnmmWecC55hw4Y5lR1B77/edFMrGiIl+W7RYcO2//DDD51P6vWnPtb9X4cvLF26NPD91yoevTeJyj19rDfc7Nq1qzOEw6bjXu9FpMNS3n333dppNvU/nSA6AAAAQiA6MofehG3ixIlR0/TTrMhN2oJOrOiw5fXQE339VHvx4sW102zdF8aMGeN8yhv0/uuFm36qr/u8okMZtN960Wvrttcb8+rNOYPef5U5/fr1i5qm/VNs2vYvv/yyc08i9zRb9/1Ug+gAAAAIgejIHDpe3X2hr+hJn578uacFlVjRYcProffo0E9z9ZsI3NNt6PuOHTvixt7fc889zo1pg95/lRpaxRFBRZcOY1HZZcO212Fa+um9e5oOT9DtH/T+67EeKzoiVQs2bPsIKvoiQ9Ui2NT/dILoAAAACFGv6OjVV7bv2iuPLSmL4s8qOgoRHYmi96rQkzy94NfH+q0UOoa7uro6btkgEis6gv56VFZWOuPz9QZ8ejPGCHr/Ahv2Be2TlvCr8NDH2jf9Wkm9WaNtx4J76IoNfdfKFd32kZvR6tAV3fY6fCPo/ddj/Oqrr3aOe32sN2PVYTt6kW/Tfq9yL9LPCLYd9+kC0QEAABCiPtFxba++smPXXnn8uZej+PP7u2Vg4QjjGyw0DD3Z1RN+LeHv3Lmz800kpuWCiJ7c6kmue1qQXw8dq6/fMhLLnDlznPk27Ataxq/j9MeNG+f8XLhwYe08m44Ft+hQbOi7frWsij7to/50D90Kev83bNjg3JNn+PDhTv/mz59fO8+Gba9CQ//X6f15YufZdNynC0QHAABAiHpFR+982fFhlcxf+koUWz/YIzcMHWl8gwVv6Nfu6cmgaZ6N2Px6BL3v2jf9xFYrWUzz2fbB3vb19THo/f/iiy/Y7+vA9v4nE0QHAABAiPpER/d/uV527qmWJ19aEcX2XR/JoOGjjW+wAAAAAJAZEB0AAAAh6hMdPa8bIB989Ik8vez1KN7b/bEMGTnW+AYLAAAAAJkB0QEAABCiPtHRp/8g2b3vgLy4+u0oKqs/k2FjxhvfYAEAAAAgMyA6AAAAQtQnOvIHDZWqA1/Jq+u3RLHnsy9l1PjbjW+wAAAAAJAJvpP/B4vALgunT3UIAAAAAElFTkSuQmCC" data-image-state="image-loaded" width="541" height="262"></div><div style="block-size: 126px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; 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 63px; text-align: left; transform-origin: 384px 63px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 191.767px 8.05px; transform-origin: 191.767px 8.05px; unicode-bidi: normal; "><span style="">This Challenge is to solve ICFP problems 47 according to the </span></span><a target='_blank' href = "https://icfpcontest2021.github.io/spec-v4.1.pdf"><span style=""><span style="">Specification</span></span></a><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 138.367px 8.05px; transform-origin: 138.367px 8.05px; unicode-bidi: normal; "><span style=""> when given the hole vertices in hxy, original figure vertices in pxy, segment matrix mseg, and epsilon. The hxy matrix is [N+1,2] where N is number of hole vertices. A repeat of the first vertex occurs for drawing the hole.  The pxy(original) and npxy(final) matrices are [P,2] where P is the number of figure vertices. The mseg indicates connected vertices that must maintain a length as a function of epsilon from the original length. The final figure vertices must be integer thus the allowed fuzziness of segment lengths. Brute force of  problem 47 may take 180 seconds due to the 10 hole vertices.</span></span></div><div 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; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 384px 8.05px; transform-origin: 384px 8.05px; unicode-bidi: normal; "><span style="">Valid is 1) all npxy vertices on or inside the hole, hxy 2) all lengths squared of npxy segments must match the pxy segments within an allowed epsilon, abs(Lsqr(npxy,seg(i,:))/Lsqr(pxy,seg(i,:))-1)&lt;= epsilon/1000000.  Lsqr is length squared.</span></span></div><div 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; "><a target='_blank' href = "https://www.mathworks.com/matlabcentral/cody/problems/52308"><span style=""><span style="">Score</span></span></a><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 250.1px 8.05px; transform-origin: 250.1px 8.05px; unicode-bidi: normal; "><span style=""> is sum of minimum square distances to the figure from each unique hole vertex. </span></span></div><div 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; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 152.783px 8.05px; transform-origin: 152.783px 8.05px; unicode-bidi: normal; "><span style="font-weight: 700; ">npxy=Solve_ICFP047(hxy, pxy, mseg, epsilon)</span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8.05px; transform-origin: 3.88333px 8.05px; unicode-bidi: normal; "><span style="">  </span></span></div><div style="block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 384px 8.05px; transform-origin: 384px 8.05px; unicode-bidi: normal; "><span style="">This challenge requires a Score of zero. The npxy vertices set must contain an nchoosek(1:nP,nP-1) permutation of the hole vertices as number of figure vertices,nP, equals hole vertices, nH, plus one. One method would be to reduce the nchoosek to force the longest figure segment to fit across a pair of hole vertices.  This problem with its solution shown shows that a recursive point to available hole vertices could be a more general solution.</span></span></div><div 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; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 303.4px 8.05px; transform-origin: 303.4px 8.05px; unicode-bidi: normal; "><span style="">The function template includes routines to read ICFP problem files and to write ICFP solution files.</span></span></div><div style="block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 375.883px 8.05px; transform-origin: 375.883px 8.05px; unicode-bidi: normal; "><span style="">The ICFP 2021 Hole In Wall contest site has enabled a public user login to allow submissions. A login must be created to access all the problems and to submit solutions. Solutions are simple text files. Other challenges will show reading files, drawing figures, and producing submission files. To fully access the ICFP/Problems site use </span></span><a target='_blank' href = "https://poses.live/register"><span style=""><span style="">Register Team</span></span></a><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 42.7833px 8.05px; transform-origin: 42.7833px 8.05px; unicode-bidi: normal; "><span style="">. Anyone can select </span></span><a target='_blank' href = "https://poses.live/problems"><span style=""><span style="">Problems Page</span></span></a><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 256.35px 8.05px; transform-origin: 256.35px 8.05px; unicode-bidi: normal; "><span style=""> and then click problem numbers to see the puzzles and to download problem files.</span></span></div></div></div>

The ICFP held its annual 3-day contest in July 2021 with Hole-In-Wall. Contest Specification.
The contest folds the figure in Red to fit within the hole shown in light grey. A final solution is shown to aid in programming. 
This Challenge is to solve ICFP problems 47 according to the Specification when given the hole vertices in hxy, original figure vertices in pxy, segment matrix mseg, and epsilon. The hxy matrix is [N+1,2] where N is number of hole vertices. A repeat of the first vertex occurs for drawing the hole.  The pxy(original) and npxy(final) matrices are [P,2] where P is the number of figure vertices. The mseg indicates connected vertices that must maintain a length as a function of epsilon from the original length. The final figure vertices must be integer thus the allowed fuzziness of segment lengths. Brute force of  problem 47 may take 180 seconds due to the 10 hole vertices.
Valid is 1) all npxy vertices on or inside the hole, hxy 2) all lengths squared of npxy segments must match the pxy segments within an allowed epsilon, abs(Lsqr(npxy,seg(i,:))/Lsqr(pxy,seg(i,:))-1)<= epsilon/1000000.  Lsqr is length squared.
Score is sum of minimum square distances to the figure from each unique hole vertex. 
npxy=Solve_ICFP047(hxy, pxy, mseg, epsilon)  
This challenge requires a Score of zero. The npxy vertices set must contain an nchoosek(1:nP,nP-1) permutation of the hole vertices as number of figure vertices,nP, equals hole vertices, nH, plus one. One method would be to reduce the nchoosek to force the longest figure segment to fit across a pair of hole vertices.  This problem with its solution shown shows that a recursive point to available hole vertices could be a more general solution.
The function template includes routines to read ICFP problem files and to write ICFP solution files.
The ICFP 2021 Hole In Wall contest site has enabled a public user login to allow submissions. A login must be created to access all the problems and to submit solutions. Solutions are simple text files. Other challenges will show reading files, drawing figures, and producing submission files. To fully access the ICFP/Problems site use Register Team. Anyone can select Problems Page and then click problem numbers to see the puzzles and to download problem files.

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Problem 52355. ICFP2021 Hole-In-Wall: Solve Problem 47, Score=0, Figure Vertices 11, Hole Vertices 10

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Problem 52355. ICFP2021 Hole-In-Wall: Solve Problem 47, Score=0, Figure Vertices 11, Hole Vertices 10

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