diff --git a/CITATION.cff b/CITATION.cff new file mode 100644 index 0000000..3b406fd --- /dev/null +++ b/CITATION.cff @@ -0,0 +1,10 @@ +cff-version: 1.2.0 +message: "If you use this software, please cite it as below." +authors: +- family-names: "Koolstra" + given-names: "Gerwin" + orcid: "https://orcid.org/0000-0002-6574-5789" +title: "Quantum Electron" +version: 0.2.2 +date-released: 2024-10-01 +url: "https://github.com/gkoolstra/quantum_electron" \ No newline at end of file diff --git a/examples/00_harmonic_well.ipynb b/examples/00_harmonic_well.ipynb index 68ae0dd..a7838ca 100644 --- a/examples/00_harmonic_well.ipynb +++ b/examples/00_harmonic_well.ipynb @@ -1047,7 +1047,7 @@ ], "metadata": { "kernelspec": { - "display_name": "neon", + "display_name": "eonhe", "language": "python", "name": "python3" }, @@ -1061,7 +1061,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.11.7" + "version": "3.10.6" } }, "nbformat": 4, diff --git a/examples/00_potential_inspection.ipynb b/examples/00_potential_inspection.ipynb index d242ab4..879dfe0 100644 --- a/examples/00_potential_inspection.ipynb +++ b/examples/00_potential_inspection.ipynb @@ -260,7 +260,7 @@ ], "metadata": { "kernelspec": { - "display_name": "neon", + "display_name": "eonhe", "language": "python", "name": "python3" }, diff --git a/examples/01_square_well.ipynb b/examples/01_square_well.ipynb index 14a4ff0..7649a43 100644 --- a/examples/01_square_well.ipynb +++ b/examples/01_square_well.ipynb @@ -911,7 +911,7 @@ ], "metadata": { "kernelspec": { - "display_name": "neon", + "display_name": "eonhe", "language": "python", "name": "python3" }, @@ -925,7 +925,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.11.3" + "version": "3.10.6" } }, "nbformat": 4, diff --git a/examples/04_time_dynamics.ipynb b/examples/04_time_dynamics.ipynb index 991f460..7abd0d0 100644 --- a/examples/04_time_dynamics.ipynb +++ b/examples/04_time_dynamics.ipynb @@ -2,17 +2,17 @@ "cells": [ { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "quantum_electron 0.2.0\n", - "numpy 1.24.2\n", - "scipy 1.11.4\n", - "matplotlib 3.7.1\n" + "quantum_electron 0.2.2\n", + "numpy 1.25.2\n", + "scipy 1.9.3\n", + "matplotlib 3.5.3\n" ] } ], @@ -22,11 +22,21 @@ "import numpy as np\n", "from matplotlib import pyplot as plt\n", "from scipy.constants import elementary_charge as qe, epsilon_0 as eps0, electron_mass as me, Boltzmann as kB\n", + "import scipy\n", + "import matplotlib.animation as animation\n", + "from matplotlib import patheffects as pe\n", "import alive_progress\n", "\n", "package_versions()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The purpose of this notebook is to visualize the convergence method used by `quantum_electron` and show that this can be customized to some extent. " + ] + }, { "attachments": {}, "cell_type": "markdown", @@ -37,7 +47,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -65,12 +75,12 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": {}, "outputs": [ { "data": { - "image/png": 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169a1+bhAZKGeccYZuPfeeyGEwJw5c/CVr3wFO++8c9XrEARBEMTWCFV9di1tDtR23nlneJ6Hl19+Wa81NDTgvffea9cN7r777njjjTcS1ZbVEu9trr/+erz++ust/lRj5MiRGDx4MObNm6fX1q9fjxdffLGqmpfL5TB+/PjEdYQQmDdvnr7O+PHj4XleYp9FixZhyZIlraqEZ555JpYuXYqHHnoIDz/8MBUREMRWjGro6bpALmd+CoXop7bG/NT16tiPfYxCIXk7rhv9UGYEsTVCfdS6ljZbn71798bpp5+OSy+9FP369cPAgQNxzTXXgHMO1o6kwG9961u44oorcM455+Dyyy/Hxx9/jP/4j/9o9XqdsT4ZY7j44otx4403YtSoURg5ciSuuuoq7LDDDpgyZYre74gjjsDXvvY1XHDBBQCi4onTTz8d+++/Pw488EDcfvvtaGxs1BZlfX09pk2bhunTp6Nfv37o06cPLrzwQhx88ME46KCDWjynkSNH4l/+5V9w7rnnIp/Pt9jSgyAIgiCInkm7RkjNnDkT5513Ho4//nj06dMHP/rRj7B06dJEvllr1NXV4X//939x3nnnYd9998XYsWPx05/+FN/4xjfaffLt4Uc/+hEaGxtx7rnnYt26dTjkkEPw+OOPJ879ww8/TDSbPeWUU7Bq1SpcffXVWL58OfbZZx88/vjjiQKD2267DZxzfOMb30CpVMLkyZPxn//5n206p2nTpmHevHn43ve+167HkCCITYtSqmzVSn3ht8fjVNu2jwGgXV9epTSzdOwMEbUtRPVtABDSbAdB8hgEsTmgHLWuhUn7v0Q7aWxsxNChQ3HrrbeSdUdss6xfvx719fX4NXZBLZwtfTpEF2IHZK5j1lw3exuIgq5qgVr6uOntrL+B7GAqK0hT21mBmvrXLUQUoGVuh9E2BXA9hyaEOAcfoqGhAX369OnS21L/O986Ym/0dtv3v3NDEGKPeW9slvPc1mmXovbaa6/h3XffxYEHHoiGhgZcf/31AIATTzyxS06OIAiCIIitG8Y4WDsTKBmjqextpV2BGgD8x3/8BxYtWqST7Z999lkaeUQQxFaJSsIHIgVNb1sWp+OwbOuzBTtUXV5dVWu7rSNE69anXkvYnExfnmV9hqFMrCulLQit7aDNp0kQVelQHzVB1mdbaVegtu+++2LBggVddS4EQRAdxg7ClAuTCNTcKChLryfsTlZpfXJuPoTsXBz7g8nOt+lo2wEZmoBNWsGbDKX+Wwqp91MBXsLulLb1yRIBWRhfLxG0UfBGbAIoR61roWJvgiAIgiCIrZR2W58EQRBbGtuWzHlmW/32vErlLKGiMXvdKGbc5Qn1DIgUMmVlsoS6xquqai2t2djKWfpvpZxJIaxtqZU0e02rbIHZNwhkSmlj8Xqleub7MrFW9s02FSEQrUGKWtdCgRpBENsEKjjL5ZLBWS4XbStbUzWIVZfbNqjjRQexAzLucR2Icc8kRWcFb3bumR20qb/1djvsz5Ysz/SaSAVlaj8ZR1PCFzqQc32R2Df0o32CIFkNGv1mKJej7TCUetsO2splCtqIbJjTfsuf0WupzVCgRhAEQRBEh+nIpAGaTNB2KFAjCGKrRSljOc/azhlrM62epfd1PA7uxiqax42iZiln3OPgat2ycNQac5hR2TgDz1DR0mpCe2ydtP0JJAsIAEDYNqcwShoQqWhSmAID4Qtr3WwrRc3zhVbjbJWtHCuTQcCQz0fb5TKQ86Njlz2jwJV9KjogDGR9di0UqBEEsVVhB1zK1rSDM9vutIMy140ud/KODrIcOwjzHB202euMM3DPMdtOKlDjDLDz1hy7D0dGoNbRD6C07WkHcGEcnAkJpCxR4YtEICf80No2AZkKzoQfJtaBKHjLlaLr2blt5RxQLkf3J5+PctmAKIBT9igFbQS15+haqOqTIAiCIAhiK4UUNYIgtjhZhQKFQrbFaSttrqWeqd/RWqSQcTdpd+p9XSehnLGEehZve1aX2yqKmrZv0mpCe9SFsNL6RMr6zFLUlOLGfZG4XFrWp9DFBGHCElVKmq2yBbGi5vpC75srhSjHz0eknEX3y/OAXC46drGYLDgAqOigp8FYB6zPdszD7elQoEYQxBZDBVyFvPnbDs4KhWjddZLBmZOPAjHH43Dy0b+xZKBmBWeu2VfbmR5PBmTKwrTX1QdPjmcHZKn2HAnLs6OBWkbVZyLqsQO4sh28xdu+yA7grOArskGjoMwO3pySWQtLkZfp5B248XquFOpALJcDisXYanaSeWwAUCyZoI3oAXTA+mzXe6SHQ4EaQRAEQRAdhvEOzPps5/49GQrUCILYrCgLs5A3Klk+b1Q0u1AgS0Vz8w6cQqyiuRxuvG4XDdhr2sL0HLPtMDBVQOBxY216ZoCnVgiqWZ9Oyu7JUghas4PSFZ9ZPdVCmbA2Wcr6jAoPLEVNFRb4AjIuLGChBIvVM8cPE/YoAASlEE7eKGpBKXpsRCAQFmN1rRRqdS0ohbo/nV1w4On+djKhrlGxQfeGqj67FgrUCILYbBQKSZvTDtCAZPBWLThz8g4cVb1ZcLS16RZM4GUHYSw+BhwrF83jgNrHYYCdo5YzFaDR9ViyujM9tb1iO/UBlKUcZCVx2UGbEGD2vnZLDjuAQxzQlU2lJ3xrX1UB6gsdnCEUkHHApYI3XjDBW1AM4RSiy8NiiFDZzKUwM2iz89iKVgWu68aNd90oWAOifDai+8GdZNuatl6HaBukPRIEQRAEsU3wi1/8AjvttBMKhQImTJiAl156qcX9H3jgAYwZMwaFQgF77bUXHnvsscTlK1aswBlnnIEddtgBtbW1OProo/H+++935V1oN6SoEQTRpbiuUdHsSs5CobKYwMtzraJ5NW5VFc21Cgi4UsyUQlZwkopahvVZUUxgNbetUMxcp7qKlrWe9XdLZKprRkWzL2f2elwQwNKKm2/boGZbK2p+CFmw9gEg/RCyGCtk+RBCFRbkBYK4sCB0eaa6xpsDXYjgutHxiq7V186BUdcco66RHdp92FzW5x/+8AdMnz4ds2bNwoQJE3D77bdj8uTJWLRoEQYOHFix//PPP49TTz0VN910E44//njcd999mDJlCl599VXsueeekFJiypQp8DwPf/rTn9CnTx/MnDkTkyZNwttvv41evXq1+xy7AlLUCIIgCILoMKrhbXt/AGD9+vWJn1KpVPV2Zs6ciXPOOQdnnnkmxo4di1mzZqG2thazZ8/O3P9nP/sZjj76aFx66aXYfffdccMNN2C//fbDnXfeCQB4//338cILL+CXv/wlDjjgAIwePRq//OUv0dzcjN///veb/oHqIKSoEQTRJajWGumiAbWe84BCwUwTAACv1tXtNpy8KQqwVTQnbyljBVerYTyvGq1ZuWh51yhqOcd8i7fy2OC6Jq+Mc1PtYKtlejs7R40xXl1Fa2uOmrUupUiuaXVNViptQmh5KlLXIvWKBYEpJrDGTKFs8tFkrJZJ3wHycYFBKYATK268GOjnJsyHCXUt0KO5HN3OgzdFv103RNGxctSKaqi91A9vsUQ5a92Fzihqw4YNS6xfc801uPbaayv2L5fLWLBgAS6//HK9xjnHpEmTMH/+/MzbmD9/PqZPn55Ymzx5Mh555BEA0EFhQf1Tio+Zz+fx3HPP4eyzz27XfeoqKFAjCGKToWKSQt4EanZwViiYhra5GicRoAGAk3dNcJZ34NVGO9sWJyu4ukCAeQ5YoWXrU9uanmPNm7LsTNdt0eZkjpsM1Ow7W7WgoIPWZ7zN7PXE5VaFZxiYy207VG8HUeAWr7NABWWhLiKQsbVsW59OwdHbMu+YwgMv0JW1Ii/Am6Iut6HHEaSaDvtNAbgX26HNYWLMl+Ooh0jqh7NYoia52zRWZXS7rgNg6dKl6NOnj17Oq0GzKVavXo0wDDFo0KDE+qBBg/Duu+9mXmf58uWZ+y9fvhwAMGbMGAwfPhyXX345fvWrX6FXr1647bbb8Omnn2LZsmXtuz9dCFmfBEEQBEF0GKWotfcHAPr06ZP4qRaodQWe5+Ghhx7Ce++9h379+qG2thZPPfUUjjnmGPCtqM8bKWoEQWwS0kUDqvWG3ZKjUGBwY/XMzTtwY8XMbsPh1kRrbsFpVUWzrU8Wq0OJAgLXhW745br2BHezznmkmsXbWuaxLdCEDZpS1ezf6e32kFbW0kpaap1Zypl9eUJpiwsOEATGHg0CU4gQGOtTFxgUAzBrW3pGXWOxusaLRl0LiiF4c6SuGWXNQRArbtzjcGNLlDNpPWQMnMdTFDgVGRAtM2DAADiOgxUrViTWV6xYgcGDB2deZ/Dgwa3uP378eLz++utoaGhAuVzG9ttvjwkTJmD//fdv1/n5vo/ly5ejqakJ22+/Pfr169eu67cEBWoEQXQKu3LTtjtra+PLPSBfE493qnETNqdXE28XVKWnB66CsLyrAzJubaeDMzsfLboRKwizh4RatiZzkoFaIiiz19Vvtc149GNfDgD23EKWCtTSfwOAzPD57DWZ7KmmL5MZ1aB2QCaEDr7sdRkGSXtU7RPPeWK2NepxUyHq8cygTXhcW5ueF5h5qnHAFrpm7Bb3Ar3NnACcR8eLHGeTu6YeTho/tQ3imCrqdl2nHeRyOYwfPx7z5s3DlClTAABCCMybNw8XXHBB5nUOPvhgzJs3DxdffLFemzt3Lg4++OCKfevr6wFEBQavvPIKbrjhhlbPacOGDfjtb3+L+++/Hy+99BLK5TKklGCMYccdd8RRRx2Fc889FwcccEC77msaCtQIgiAIgug4nKHVKRxZ12kn06dPx+mnn479998fBx54IG6//XY0NjbizDPPBABMnToVQ4cOxU033QQAuOiii3DYYYfh1ltvxXHHHYf7778fr7zyCu666y59zAceeADbb789hg8fjjfffBMXXXQRpkyZgqOOOqrFc5k5cyZmzJiBXXbZBV/96lfx4x//GDvssANqamqwZs0aLFy4EM8++yyOOuooTJgwAXfccQdGjRrV7vsMUKBGEEQnSNqaxu6srbV6o9W4CcVMWZ9ejanwVFMFeK1nLM6CpaKlFDXbBtXVCbataa1pW9N1UspZRmGB41YqZoyZNVZFXVP7pclS02zSypqtpGWpaNJW1yw7VK1VUc6YVRmKIDT2qHqcyr7ZNxeAlSNlzC4mgMeBWEXjOW4sUY+Dxduq5ULghqawoNnMgWQOA3dVkUFQ1QbV6hpVhW4TMAftHsrOnPbfzimnnIJVq1bh6quvxvLly7HPPvvg8ccf1wUDS5YsSeSWTZw4Effddx+uvPJK/PjHP8aoUaPwyCOPYM8999T7LFu2DNOnT8eKFSswZMgQTJ06FVdddVWr5/Lyyy/jmWeewR577JF5+YEHHoizzjoLs2bNwpw5c/Dss892OFBjUkrZ+m4E0X1Zv3496uvr8Wvsglp04L9HD0RZnLU1yVy02hp1OUsEZCoXLcpLU+vG5uTx5SzvmFyzgqPtzHTQlgjO9Mwpk4vGPGutSl4aVADnuCbI4m4yEFO/1eVWoMYqArWMoCwreLNJ//tN2J9Wq45EoCaT+ybs0MBcHgbRD1A1X01bo345uaa8xyCIgjhErTx0NWgxMK09iiFk3PxWBXWiyYeI9/WbfQRxjlpQCnXumt8c6PViUaKpGfE2UCpF98FeI9pGE0Kcgw/R0NCQqKbsCtT/zuWXHok+ea991y35GHzL3M1ynl3N0qVLK9qMbEq2nrIGgiAIgiCIbYwxY8bg6quvRlNTU5ccn6xPgiDajK2kAUBNDUs0tlUNbL06TxcNuDVesoAg3k7bnNGaaxS1lLqmlbOcl1DRjHpmWZm5DEXNcY2Kxliknql1bXc6ScUMSFqcjLVgfWZ8722tAjTdPCxDUWMJRU0mlTSkFDcRpmzQwFxPqWthpaLGyk5CcZNKeQxCwI0LDlwfzIu2pcchY2tTeqHeFk5c3clZwg5V1meysMBukuoDsK1PtW4UR1LVtmKcDvRR60ZD2efOnYsf/OAHuPvuuzFjxgycccYZm/T4FKgRBNEmamtMoFZTU2l35ms43LiK06t14dVFwZKdi+bVumDK5iw4xvJUtmatlwzUlJ1iB2c5TwdfzMslKzyBlN2Zg+mwajeudaOgDHEFqB2Uqf2zAjWeCtoU6aDNQmass6yqT6AiCIu2reAsXQGqjhWGZk0FcGEQBW5AFLA5ntl2VVAWW5yuFaiVy2CuaoRbTrU3iR8z19eVt8iFZjpE/OErPQ7hxO05OEMuDrx8q39WOqeJ6SDPfmxMwKZiN2WHElsPjHVgMkFraQHbEBMnTsSLL76I//7v/8YVV1yBO+64A7fffju+/OUvb5Ljk/VJEARBEETHUe052vvTzZg6dSoWLVqE4447DscccwxOOukkLF68uNPHJUWN2OZ55plncMstt2DBggVYtmwZHn74Yd1nh+g8pkDAKGmqR1ohDxR6xc1qa114qlltremR5tV6cGy7M0tRsys9a7NUtJwuIGCOVUyQy1DUuJtU0XQzW0dvM0tRi7w2ZYnypD2q1mJVTDIOKeNtq/BESq5dOpn+/tvGci0GoyQxS1ViCMGYpZ6lVTfb1pRC253M8bSiJoVdWOACPN5Wj5MbGpvUUtdY2THFBImGwWUwpa55PmSspujfXqitLemFkPG25zCtuiXuO+daYWM8ABBXl+qHksF+IElV27rozKzP7shRRx2F9evX44477sCjjz6KCy+8EFdffTXq6uo6dDwK1IhtnsbGRowbNw5nnXUWvv71r2/p0+lWFApJu9MO0IAoSFNVnLm6nA7O7KDNsexOXutl25y1yu70TBBmDQatsDjtqk83DtB00JEzgRd3rKkDqQBOWZKpqk9lVaqATEjPbAsThEk4ej3622yLdpgV3A7Q7G0VnMVBCwBwJvQ+nPt6P2bbmjJ+PMLA2KMiMPaoCKzpBZY1qmxQ7iYtUWUzl8s6iJWJVidFnYOm7VAn0HlmkptADrb1yZkOzri1DQBmRLa577YNqgYxUN7aVkIPz1GbNWsWXn75Zbz88st45513wDnHnnvuifPOOw/jxo3D/fffj7Fjx+Khhx5q98QDgAI1ohtwzDHH4JhjjtnSp0EQBEH0QGbMmIEJEyZg6tSpOOiggzB+/HjU1NToy88991z85Cc/wRlnnIGFCxe2+/gUqBE9jlKphFKppP9ev379FjybrRO7utO2O20lDYiUs5xVNGCra9rWrHXBVT+0XnYxgQse75+YQ2UVDeiKznQxgW5i6xlFzVbR9JpjWZ/ZVZ8CrrYxpeQIRawaWWtKLROobn1WWJ4AhGxZWeMsWVSg1DLGhHb6bOuTS2Htk9eXOyy2O7nQChx37KrPnGV9BmApRU0GZfP4icAoj46f7EOnRk5xDmmP2HLNOhAVCgilmDgsOg6ipGi17ji81Sap1ZU1qgbdqujhitrSpUtb3WfatGltaqSbBQVqRI/jpptuwnXXXbelT2Orxa7krGi/YQVoQNLu9OpyydYbGXlpifYbtZ6J/LKCs1TQlqzk9My2Xb0JRJdlBWfcgVTBmWVnhtKFkNHxJLi2LfWaHahJXpmbhsq8NNlKgGbDWGUFKINIrOvgi4lkMAeAMx+hsjghwFkUFDks0LlunPlgKifPzlFT+WzcAcI4Fy10rKC3rNcTc1BdN8pfi65sWZvx/XYdcB59GZKc6csF5zpHTcBUs+Vggrwsopdg3ExXRPc0ggK2rQHKUWudgQMH4sknn+zQdbtf2QVBtMLll1+OhoYG/dOWb0MEQRBEFZSi1t6fHgRjDIcddliHrkuKGtHjyOfzyOfzW/o0tjps9zFzLFSqcACI7E7dL63WTdqdvaN1ljcWJ+vlgdVYKpmS61TRQL6QrOjMWcqZm6Gi2YUD6nJbRXM8CFgqmlAqmgchlfXJE+pZKKtbn1JyCGtdIS1LNI3IGEvGE1aewRQQJIsK1P4sQ1FjyBnrkwnw+P6GUoDH6w5zTRGC40e2KGCpZYGpiA18rbRJxpJVs9xS1yzrk5Xjx4wXzeXq/DnXH8oc0PeMO+ZecgCtDSDKskGFYBBxZYEQZvIVsZmxZ+C25zpEm6BAjSAIgiCIDsMc1oGh7D1LUesMFKgR2zwbN27EBx98oP9evHgxXn/9dfTr1w/Dhw/fgme27eC6VqGA1ZKjkI8mDgCVhQNAZV4ar4uVsV6epa55yfYb9g1pJc3KVUv0SFOtN6yiAdcDc6yWHHo7W0VTCpmQHkJk56gp9UxI17TiaIOilmjJYQ1YF632TjMqm52qw61u7bZy1pKixhEi1PlqARiix8NhQSKPzUHc+Z+5WoHj8WPGncBS11wgVMUBLmS8XTGhQStqZqwW0y057MuLOqMMnIHHjU6l9UEtrQehNWUtLyREPDJLWDPqhTVJS03IIojuAAVqxDbPK6+8gq985Sv67+nTpwMATj/9dNxzzz1b6Ky2DdRnaTSnM9rO55nV5JaZsVA1XqJPGpC0O3mdB9bL6pdm2aCsJm9uKKcs0XyyZxoQ/a2KCbx8IlBLFAvooM3YoKpQIBT5qsGZsjtDuzeadBFaxQQmgLMKDOJoQMh0QBYHDDIZmaX/bgmeMUqHM2YFcBycOfG62V8FbA7zE5apExcTCCtQc5gLoYIzuBDSBG3R5QEcVwVbVqVsUDajfhiHVAUJodUwmCVt0Og8YJoE2+spe0z9ZRcWACZYk9YsVBlK/buggkpICBEXJwipA7UmK2gjNgPRC7P91+kBcM5x+OGH45ZbbsH48eM7dAwK1IhtnsMPPxyyHR+MBEEQxCakh7fnaInZs2fj448/xvnnn48XXnihQ8egQI0gejC2C6kKCGprIyUNALw6T1ubbq1bUUxgt+GoanfW5K0bykcFA0BmMQHcXKSkqW1XjY3KJYsF4m3p5HQhQBBG59SSipa1HRUQVKpngUpSl8JS1CRC6zuBrbSl19qLrazZyhlgPtMipY3pfQDA5bmEyiZilYwxU0wgmJsoLLDVteicA61CurwM7qqpBywxwYEFcQuPxHD6lCWqfseFBVHPNdvSzbjvMEUGTMhE2w6FKhqQCanMN89BqrCAxkxtPnp6e44NGzagd+/emZedccYZAIBrr722w8enQI0geih2Llo+nxwPZVubnl3hWWOsTSBZ3dmi3RkHaixfSPZOK1hBGRDZmnGgxtL90qwmtoJF25HNGQdq0gRqrQVniapPKTODMl+Y4EwFYva2+tv+HW1nP96tkc5VSwduZt1sA4DHk8Gby3PWvpWBWjpoi9YCHbRJ4eh1h3NwNRZKmLFbdgAnbes2ZYGq7cquZ5UBm219itSaF0ptfdpIIVEQsdUrkLRBaczU5qMjQ9a70VD2L3/5y3j88ccxePDgLjl+93mkCIIgCILY/DjoQB+1LX3Sm459990XEyZMwLvvvptYf/3113Hsscd2+vikqBFED0M1+E/3S1PuY6ScxTaYVUDg1XpwlJ1pTx1Q46HaYnda6hpyKZsTiIoGvHhf1zMVna4H6RjFLBCxoiZN4UAo8/Hv1lW0QEgEwhQCZKlnQWKtWjEB9D5mbVNYn6xCYYt+29vR74AnVTaPm8vdOOHf5dmKmrJJOQu0iiYZ1+uCcX0M7vqJwgJdIMC4UcqUkpZQ2ZK2Z0uqGgCwUILH6plS1pxQwLOkSruwQG3ngkArxLYNGgRUBUp0LXPmzME111yDQw45BI888ggGDhyIK6+8Eg8++CAFagRBtJ+E85jRhsMpOHBjC9OrdeHEgZhTa+Z0cis441bw1qrdaY+F8vKACspii5PZjW29gl4XLAchlMWZ1zZnusJTXd5acBYIoXPNovXKoMysJS1O29oMM3LU1H5txQRo0loDnKrWZzpHjSWCtyC+wOUMgVD78KpBW3S9ADK2MgXjOodNcA4p4usxDh4HYtxLNjjV98DOW6tCazYoD4WxPlXAFko4wmx7Ol9NIozvZD4QibYdYdwXtxAAGylQ61IY60COWka187bMddddh3w+jyOPPBJhGOKII47A/PnzceCBB3b62GR9EgRBEATRcXr4CKkVK1bgoosuwo033oixY8fC8zycccYZmyRIA0hRI4geRbqAQCtqqX5pbj5SUZy8m2xoq4oFeqk1V/dOSzazbYPdaSlmCbvTskF10YDMIxDR9QKZS9icobZBKxW1tIqmLM5A2BanSNid6QIBIZPKWTV1LWF/tqOHVyLvvlUVTWqlTV0eCHN5WkUzqpvUlmhaXYuOZRQ1h7mQPGpyKwXX65JxuNraNG3Uor+NDQok1bJqVNig6kGzqj6VQsbjdSAuLIi3XV9AxAUudn81ISWCwBQWBLG6RoUFXUQP76M2cuRIjB49Gg888ACOO+44PP744zjllFOwZMkSXHrppZ0+PgVqBNEDsPPSPK8yL82tdTPbcHiW3clqPbCCo7cBgBVcM7sz0cy2bXZnIkADEsFbiHwiFy2Ig7NA5BI2ZzpQCyXTwVk5rB6cBYl1E4jZ+Wrqd6LqU8UTVpQmpESYUe4pMtZseOrDyrHyy+x9zBCAyqpPOy8tELCCNgk3XheS6/trB225uPLO5Q4ki7ocC+aa6QuMQ6jgizt6Vqqdu+a4vMLqTAdh1dA2qJA6umUAlC/N1OMXSrDY+mYJ61Mk2naoAC4X+PpLSBAwFPImX83+TWwaevoIqdmzZ+Ob3/ym/vvoo4/GU089heOPPx4ff/wxfvGLX3Tq+BSoEQRBEATRcXgyZ7HN1+km2EGaYr/99sPzzz+PY445ptPHp0CNIHoAWQUEOQ/I1cQWWN7RRQPpfmlaRSs4CSUNiJU1awyUmdnpGRWtJbszo+ozkJGyky4aUIqakK5lgxqbsxxmW5xGOUuqaGo7lOliguhUApXIbiluoZAVSpraR691sJGara5xzipUNSBS3LSSpqxMx9idUaWnUtfMdlpdM0JVdEWPm31zTh5CGEVN2Z1SOKbgwCoykIzDTbdaYNm90xLYKpoQZj8hwGrVuq2oxSqb74DH6prdX034Aq4fXS9XIxDEfmehkCwsAKi4gOg8S5YsaXWW9E477YTnn38eAPDZZ59h6NChHbotCtQIohtjx0pAlJemtgsFBifORXNrTRsOJ++Cq+As75hZnrWeDtBUpWdiSGguGbTp6LCa3Zma5QkAgawxFqfMIbQCMmVxBla+WihZIkADIuuyHLY9OLOtzyBIBmVAMlATVqBmr9v723TU+gSQCMjUfjwjUAtCK0fNZQiEyVcLZctBmwrChMMgpArkgJyjgrAaPXjeZaXqwzljKgI2tNEGFQKQylMumMdAVXGGEtwK2kT8/HLfgeOrLxjG+gx9gUIctAWhyVcLgtga9YFyubWTItpMD1TUDjjgAEyZMgVnn302DjjggMx9Ghoa8Mc//hE/+9nPcO655+L73/9+h26LAjWCIAiCIDpODwzU3n77bcyYMQNHHnkkCoUCxo8fjx122AGFQgFr167F22+/jbfeegv77bcfbr755k71U6NAjSC6KZwbUUs1trWnNjl5RxcQOHkHTqyiuQWjorGCa6zPvKMb2iakupyq+kypa0ots0ZBMa9gCges9Sy7MxA1mRZnIPLwY9UoXSyg1pIqmlHaqqlofqj6b9nrlWsV1meq8CC93hbSqhoQFw3wNlqfLtdrfsjgxQUCooq6JiSDkPE+Upi1+HqhFFpdi4oN4hcMR8IS1bWZrSlrUiRtUKWcSQnkjIpmCguEKZuN7UtWK4H4OWK+AxaraFxIbXeKwIETP2derQsRrxeCwCoiMMqaWmtPhS5RhR5Y9dm/f3/MnDkTM2bMwKOPPornnnsOn3zyCZqbmzFgwAB8+9vfxuTJk7Hnnnt2+rYoUCMIgiAIouOwDihqLTRF3lZYu3YttttuO5x00kk46aSTuux2KFAjiG5KLleZo1bIA14++gdpTx1w806ygCDOXeN2e46CG/VKUwcCgJxn+qVZ6pqtlsHxookDQKSmWflqtpIGAL4o6B5pgVVAEIqc3o4Us0gGKVnqmclVSypnRnGzlLaUihZkbCdy1OxiA2tdEbahh5raP0tBi9bNtlPRnsO04rDz1QAgCAXcWA3j3IxOSqtrJgeNJ5Q09VupgjmH63V7H4maKE8NiFQ0637qiQTWfcjMV5MCUueiCcCNt3NGRWNCRqqa2gdxjzXfXG4mFgit/nqh1Cqa8F14tUppEyjESptS0Xw/ylMDqLfaJqEHWp8AMGrUKNx4443413/91y6dtECBGkF0M1TPtJxneqbZAZtjNbNVjW3dGi9RQKCrOgtudoWn6pfmWcFZzgM8u19aPEKqBbvTLhwA0o1tkwUEKhCz7c5yKBMBWvRboJRVTFAlOAsCoYMUPxAVdqYdqIWpPmpZFaA27S0myKr0tPuoORmBGmcMPo8tP5dry9Z1eWbQ5rrSGjMVreWdpB2q+qsBIhG0wcmr5czCAiYro1TXgWV3iuxqUGnZnUKABbl4WZXgBslKUBW0+QIs3ua+A9ePR475AsJXtn6InKoGjYOzcpkh55neatRXjegIP/zhD/GjH/0Is2bNwh133IEvf/nLXXI7235ISxAEQRDElkMpau392ca5/PLLsWjRIuy77774yle+glNPPRWfffbZJr8dUtQIopthd8jQSpoStPKO1YbDMe05Cg5Y3lbRLHUt3gc5L1ksACSnDtj90txcVbszhFHM7MKB6Hd1u1MpZ6WUipZW1Hx7LTTKmR+ITIvTVtGCUCTUs2hfIKslhxDJaQRZ6llrw9l5yi6xFTanSksOo6jF+1kqmxDSbFs2rW2JCsl14YBw9PjzCjtUbQvHls7UyeXNnykbVK/FMCbgOJVKW2SDxo+PtNtzmP5qiZYdygbNh0A5fn1ahQXM6qMWlhw48bZXYwoLcuWoOCGXM73VSFHbBHDWAetz2y4mUAwZMgRz5szBBRdcgIsvvhijR4/GZZddhksvvRR51Veyk1CgRhDdCNe1pjV5ZpanWouqO628NNUjLe8kG9vaQVvesjtVhadXWfUJN2dVenpWjpqxOwXL6bFQiT5pbbA7lZ1pB22BkChVWJ8S5fiD2Q9FwuJsLTjzw8ocNDvgsas+7XV7//R2a2RVd9rbdl6ak8pXU/tlBmpCJixR+7xN/p35cFUBWpiRnxafESqCNaDSBgXAIIwdKkIwHkVF3EHC4rQtUYg4crLz1eKqTykEENuhLAgzrU/mO+B+9Br2aj2Trxa4cEpxgBb/LoSmAjSXkyjHligFbB2kh+ao2YwfPx7PPvss/vCHP+Cyyy7D7Nmzceutt+JrX/tap4/dvR4pgiAIgiA2Lz3U+szilFNOwbvvvotp06bh9NNPx5FHHtnpY5KiRhDdiPTkJlV5p4sGLLvTKTjgXvTPkhVccKWi5a0CgoKTKCAwSppVQGBPF1D90pykuiaYKRYItbVpDVpvh91pr/sZ1mcQSJT8SDkJQqGT631rW0hprcts67MtkwlCo5zJjHLPthQThNbfzPrw4k7bJhM4CUWNJxQ11+V6O3St83aTqiEQVYZGj001RQ2okM6AShsUcVGBGmvFBbjUUhu4a1Q0Js1AdTixnOUK018tlriYEJA541WyeBYU811TTFAWWkXjpVD3BXQCoV//oXoflEP9PvF9IFdO3BzRXnpgH7U05XIZ7777LhYuXKh/ampq8OSTT3b62BSoEUQ3QH2+u66p9LRtUBOcuXDiD28374Ln7UpPy/osqLy0XDLRzbXW1Y1YFZ3Mif+luCaAk04OIp7NGKSCM2Vz6ma2bbA7k1WfAuXABFlAZGuWrUDNV60ZrEAtlFKPE0pYn1YFaCIgU9uhaR1RUfWZlaMWthKoOekcNWFtm4BMBXDcyaj6tII34cpE0Kby7BzGksFm1oxSVfXp2BZnVgJaxnpsg6qqz1DkEkEbU1YmF2BxvhqTUlufTASQKrCXAhBxxKReZ0FgvhwEOdMItyDAYrsTvqO3ed6BG+euhcVQ2/22BarsTs9jcF2Vy0cNcIm2c9111+mg7MMPP0QQBKivr8eee+6JvffeG8ceeyz23nvvTt8OBWoEQRAEQXScHpqj9sADD2CvvfbC1KlTsddee2HvvfdudVB7R6BAjSC6AQm70+qjZlueQHJUlGP3S/NSvdPy1kFUAYHjorKMtEoBAXfjzHFASC/RLy2wVLRAJosJ2mJ3lkIzFqocmOpNbXemigaUuiaEhK/6q1n7hOmGt8oeDY0tV01dU9jKlKxid4r4nLn1ARVaVhurVlTgMK202TaorbJpi1NK3fw2OlfVO80oYNXs2GSFqt1HLcPuTO2j74M1bkqpa4HI6WICJoVed3gQvU6A6HVTrbAAAIKcKSzIecYSDQJtfcIXYEWltLm66tMpmNFStgWqKkDL9svapwa4HaKHBmoLFy7cLLdDgRpBbONwbuImz2PZzW2V9eNyuCoXzeO69QYrOIDKV8sn89ISkZ9ad6wP2Dggq5aXFohcoqGtkJYNKtREgrjLvkjZmhl2ZyCM3Vnyw0RVp16z7E5fX169JYcdnClrMzHrMzSBmkzYndnBT8uWZzLgSdufgArI4tmbgQniOGdW7prV2Da+Pe4wnX/mOtzk2Uk7aLNy0FQ+nps8X9N2xNHTAzjLtkE54+BMWvsAQD6q/ERkd4bK4pQCLA7CGA+z89XCwKoYVhaoCc4QBglLlOXjAK7IjX3vO2BFY/GHcQBnW6CqAjTnRw1wo5uRKJfVY1NxV4kqMMbB2jkSqr37b800NDTg0ksvxZNPPgnP8/Dkk09iyJAhm+z43eeRIgiCIAhi86NmfbbnpxsFaueffz7efPNN3HzzzXowOwD84Ac/wJ133tnp45OiRhDbOK5riV52W7O8AydWyXhsjaUrPZnnmG3LBtUHdJ1kzzTXKhYAko1tHSdRQKB6pIUyb217yWKCuKrQ2JoCZT3+SWY2sS2nqjrLsYXlW8qasjv9UCbVtYyqz8AXCRUtbW3aKpoQyctbKyaoZoMqGGeAZX8m+6jFSpZVQCA5hxDJYoKod1qluia8ZNWnqfTkEG71cxZCAjl7RQ3tNA3TOJNaRYuer5RKyDiYNAUGTBcNCHO/ZKqwIC4gYG7ONMIVlSoaC0JIpa65ydew7q9WDPXr2a4A5bGK5nhc26A5qwK0VDIvcaWsEW2gh1qfiv/7v//D3/72N+y7775wHDPkdvLkybjqqqtwwQUXdOr4FKgRxDaO3ZLDDtq4xxND1wGAu46u9IRnrCJ4HCwO4OwDMs/u8eFY1mb8mztWnlEukZcWxhZnKF2EcVVnKHKJSk+7zQaQnDQQVX1aOWpWlaayMMvlUAdoZStHLSsXzZ5MEAQCoZW7Zluf2g4MzOV20JaVj5YI2Fqp9KwGd0yrDs4ZhAraArvCUyTadgCA4zqplhx2bl2co+hW+1BU62EyR00FKTkzIaF6BaixPLUFGkpwZp5zDsvujF8LXHrgMgq4HB5Erx8gGhnAVSBmrblqzXx5kLnQ5Kt5AaT+EuIApfic8g54MZmrGeZdHbS5bpj8ohPfdwrUiLYipUTv3r0r1keNGoX333+/08fvPiEtQRAEQRCbH9VHrb0/3YRjjjkGv/vd7yrWGxsbwVjn7ycpagSxjaJdSBdwHNM7TSWLc49rm1P9dgsO4KleU67eTlR6uq6lotklcbnI3gS0isYcq4+a40LG60GYXUAQWkpbORS6elNZnNFapfUZiGR1p93E1lbSojVprM+UihbE1pgUImF9KkVMColAKWkZKppMVX0KK+O8qo3YArbVaStn0WWmqlMqxYwz8Azr042fLyGYPm/XM9/DRSghvIwRUlpFc5BZKBCk+7wZ5czRBQRGBVX93BwmEDvSYI5RzrgMMgsLuOODOfEVXA8stjylqv50HKuAINR91CKV12rUrJ7fYqgbOIfFMHrdAwhL5v2g3xOu6aPmOGbbdakBbpvpwbM+AeCmm27C/vvvDyBS1xhjKBaLuOGGG7Dffvt1+vgUqBHENoodqNldMxyrJYe2PFVAZtudOatKzuPJA1o5ajpo427S8gTiqk9TAapy0YT0EsFZVl5ausIzWjOtN3w7UAukaVwbiGQrDitAAyILNKvJbeALbWcGgdABTRgIHXDZQZuxQIUVtCUDs2o5arKN9mcIgDl2cGZvx4GQSAZvyvpUjYt5KjiT1gemOifXbcv5mFy09LB4IArC9FQEK0eNM6GtTxOwmUpQl2fnq3EZQMQJeqHIw1WD2+2qz9CyQEM7OLO+SFivW+bFNmjBgSwZG5TpAM28N8JEq47oerlclKemDk2BWhvp4Tlqw4cPx/PPP4/zzz8fTU1NOPDAA7Fhwwb06dMHjz32WKePT4EaQRAEQRAdp4cHagCw66674q9//SuWLFmCf/7zn/A8DxMmTMB2223X6WNToEYQ2yhKVIhG4MRrLiy701R4KmWNeY6pkvN4YtuMh/KyKz0dUzhgKj1d3VNNwCoagKvHQgmZ3LYVM7vCU/1OjI3yjd1ZzpjfWfbDhJIGVLc7wyDMVNeEkHofu8LTrGU3vAWMctZa9WeLxKqNPfeTcwaRobRxLrXCZqtowrZBPaP+Oeo5bRcOYE0gdVq1qOw+aqYSVCtqwhQWpF8LIVOFBa7ehzsuVFmqep1JERrb3ZKQWRBC5uIHsFzWBTHR69zeThUTlLhW17jHE+8fPYLN6VhRSI+EAjXN8OHDN/l0gu75SBEEQRAEQWxm3nvvPQSb2DMnRY0gtkFSqTlG9PJ4ondaupiAWW04WN41LTnsRLdEMYHVksMaC2V+uzqfyM5LS7bnMNt2+w07Hy1ZQKDyy6TpjRZmt9mw+6S1JS8toa5ZKlpoTSEIrLYd6rcuJrDadyTbdJjctbbmp6WRloImOE8obbqYIDGU3ShnbqwOSZ6d79Yeojy0+HXDRaKgIDEIXm0zgUCY3LX0WjkUVm5bsrBAbQsEEGrdCUxummrTYbeBcXOJVh2J3hrxpHXmhbo4hhVD/Tq33w+6t6D1nnFdkfm+oly1ViBFTbP77rvjnXfewW677bbJjkmBGkFsg1QEajpuMsGZ43Fw17I2EY2HYlbQBh2oWdVzTurgynJy3OiyeFv9FvG/kVC6CJFtcaltu4AgWdWZUUAQJi1MP2F3WtamFczptVbszsA3wZxMWJ/WOKkqwZkKyuyATGbYoe2FWUUDjFvHc1gUuCEqHLCDNiC7UhSA6cPWTpzE8ZKX6YCLM70f51w/p5yZYoJAr0X2JwC4PPt1ETLX9FdjbmR/AsYCdVxIvRYkCwjidWm/EewvJPaotKL6EmM1g7aCNtehQK1DdKTdRjeq+rSRctNb5hSoEQRBEATRcVgHFLVuNEKqq6FAjSC2QWzHJz2NwE6SVqqB6pcGh5vtnEmyrrQ7LeVMWU62/WSt2XZnVr+0UHoJ5Sxr2x64HsQTCPxE6w2jnEWTBIzqZrftANpmdwaBMHZnaPVOExKhn1TU0iqatJQ2RWJUVNixad5SmA8uZqkNTDCtsKXVNSBtd5rzyBr23hbs1hw8YLpfWhAKY3cGdqsOhoAbJS36bSzsSF1TFjcDZ9HrwrY+7VYdQgbgPB4LYL/eEnZ7Vs8/SxX2HMicUtec6HWvthGrzVlFN1WUaqIVyPrsUihQI4htCPW/Ld3k1knYnZVNPVlWjhpnyU8l++CusTv1upO0QQFAclcHGG2t9FQxTbqhrfqdlZeW7peWORaqHXZnGIhELpq2QTNGSKWDs6ygbNNYn9b1ONPBhRRSB27poA1A9Fyp4NKuFBUdDNRSeW7mb5Nr5tg5apzBTeWoOcw8ty43gbgrJFzecgWoC64bJ+smuI5jgrPQtwI160sFT/YCZFzlqyVtUCD53uAuT7x/XFfEN2ma33IOiI7F3z0DCtS6FHqkCIIgCIIgtlJIUSOIbYhMu5MhoaKZqk9TOIBYabHVBdi906yk7MS3Y8ZM7zRu2aCxsmJXd7ZU6WlXd9rboUwpakEycV/ZmkJa+1qFBUJaapiw1LdW7M7AD/XtBIHQKlgQiIpiAeELo5hZtqYUsrr92R75hVcqZzKUWmFjnEGG6ja43odDKZmhtkNdcATxKCjX5Vo1bNtpxBMjAqOW+YFVscm5HjnlBwJurPjZVrSZRpAsFFGWaGR3t1wBGtrD2pmxQBk3Ki70unmtMseNCgqA6HWdoSLb7wNVaOOk1DVVEJG2QWlIewsw1v6cs00wA7OnQIEaQWxD6OrO1MQnNYaIcetDxzH2mc5Fs/J1mOdYdmdqLI8O2lItOdQ/Y/WhKbm2r6TkkDL+8E5Veqp4Rsh0K47kzEk7Fy0IRSKYsvPS7PUwNetThLJddmdoj43yw4ocNClkwuJMrLfSliMRvGXAODOjkQAdSETXNRa1fn4hIOMATcQBqG2HBkhanm4cwLcWsHHO9OMBAAG38s/UWKiAwdFVnda6ZYOqObOBMLNAAyERnwZC6/m3K0DTrx21bb4Y+MnXoR5bZkdTTuINol7z0srLtNdUDh/3OJgO9lh2NoADUJzWAox3IFAjQ6+tUKBGEATRRuprN+JrE57Hl8e+hYamWjz8jwn4+5t7tnidmlwJnhuiqZRDENK/XKIbQjlqmn/7t39D//79N+kx6b8GQWxD6Lx+h1m5/yzRyFNbYxlJ1MxhySa3bobd6VqJ207KErXGRQFR7zShLDiZVEiUSiakzKz0DGVy6DqQVLoqGtvG26GQiQICra75RjlLVmzG21ahQKTEmepOEStOCcUstVZXaMaFx/4ZI7ZfgQeePRg7DVqJM4+cB4eF+NuCvQBIACyhrO06dBm+Pek5HDT2fTAAf31lb8x+7CtoaOwFxgREyNG7tgnHH/QqxoxYhmVr+uKJV8bh45WDwaBUPKOucUeCSwYhudWHypQmCj80Vb2+Uchcl+uRU5xXNu0NLTWNc6YfS1stS1R9Wo1wOWPaBrUtUJcbRc2u+vS4eV3YKpoaP+aA6+3EWKnQsjjtfn62zMwrX9vM840iab0fuFVUY79/lCrIudQFO3Y1LZEBY+23Mrup9XnTTTdt8mNSoEYQ2wi23WlvM7tbvdWeg3nWh7my1Owmt5wl8nsSB1f/RG1Lg7t6XcbBgd2SQ8LJbMnhJyxOY3MGQiYsTyC2NaUJIrKmA9iTB2RGg1ohRCJoMzlqYWZ1p213Cl9UVHKqSs/D9ngDwwesxJy//gueXTgWUkhce1oDjtl/AZ57fRSaijlEwVpE37pGnH/iX5HzApx909no06sZV57xJzApcOvvj4ME0K/vBlzw9b9ixKDVeO39nTB2+KcYNXQZfvHwZCxeOTh+CpgO2o45YAGmT/kTnnh9X/zHn74RBTp+aAI5j+ugE54DrnLv0HLOHOdMN9wNAhOQ2flqDmeZz4eQMmGDAtGXB/WcezxZ6WtXgDpWqw4nNheF9HSrDqkMRytXEsw3r0nGEsGZbn7Lrde+/ZpX7wPOrApQ056DWzaz68pE3Ke2qfozA7I+uxR6pAiCINrAPjsvxsqGeix4f2e99tK7u6KupohddlgRr0idjP4v+72FXoUSZj18BD5d1R9vf7wj/vzcfhgzfBl2H/EZAOCYg17HqKHLMfuxw3Hnw5Nx3b0nYfv69TjxkJf1bbD4eJP2+Sf22XkxNhQLCIXJ6SIIontDihpBbCOkW50pwSAx05Mz03PLUg3s3mlMqwo82zZKN7nV6gVPFBEAgEQqCRxmXUhTmZlU0aDXbctT/bZndvqhUdF8SzkTVpWmsJP7kbRDI+XHXM+u7rTtTpWYj1Ak1bXoipChxMD6tXj/0yHYuNEDYoWqYWMBnEnknRIQCjAmARkdY/SOn+GLhjosXbGdPuZ7nwzC0RP+iX59NkAKiQlj3sdbHw3Fc6/tCsYFVn9Ri/kLd8Xo4cuxfe91WLmuHmEI7Db8Mxw9fgH+/MKBcHkAWOfMPa4VNxH/HZ1/qMaFwgWHsGaDCqH6spnHTI2fEtb8VMa5fiz9wLY+GbhqchuwRAVo9Pga69MuIHG5tCxxpF4vVmFB/JpLFBWwqC9a9DrMaH6btu+tAgH9nrArQa33SUKRVhXUTGQq2FT9mQEpal0KBWoEsY3QkvWpq9Y4Mx3pHW46sqsPsJyDTD+HMxO02eNgOE80uVUfoKFQuWomnyhZuZf8QLbz1XyRvQ4kKzorrE+rPYe0gi8THJiKThO0hZnVnVKIZHWnZXfaAZq6XAqJXoUS1jcWEMWf0XUchPCcAKWyE+WyQYLLaP9B2zVg5do+2LDB08fc2OihV6GEMIhy2Qb2XY9//HMUZCjhcIFQcKxp6AXOBHrnN2KFX4e6ujIuPPExzH97Nzz9+liccvhzePOjEfr8hG+CMwaRmFRgHieWyFlTqAAlyg0M46efJR6nIDDBWbXnRlmfqso0ev6j2/CFHbQlA3X1nNqvnVC6cKy8RwBwOLfmzDo6Xy2y6e3gzP4SYr1ZctYXkuiA+r3B7UCOc8v6zH6rEBlQMUGXQo8UQRBEG+BMxj8m4OnbuwnlwMWGxhq9j6KQ89FUzMGe0ZxzA7hOiI1NBThcoLZQxtoNtQCg9+MsCtqCIAouvv+Nx/HPD0fgwWcOBADUFYrY0FzTlXeVINqHUtTa+9NNOP300/HMM8902fFJUSM6je/7WL58OZqamrD99tujX79+W/qUuiVW7n+yJ61lZ6bHRmmlwDE2T+ZBEuqa+SfK7H+ojFmWpykm0NtWMYGdNJ7ul2bUM4nQqsIEoopOdXkorXFOtoJjWXN2zzRlgQohdQFBWvlJjIWyqjsTdmeq4a2q+ly6sh8G91sHl/koBx6kkNhr5BKsWtMbaxsKEL6wUvYlGjbWIO/44NyHUxeAewI77LgaRd/DuvU5+CWAMQkRMq3kScbQp7YJZd/B6nW9cOxBr2GfXT/Gz/54DPKujxwLUPB8NGys0efHICBiV5B7UXFBhAMZK1khQq2YMluFVL3YONOPXxiEVjGB0GqtEOb5EsI0IBay8nl0HY4grLQ77deCLyTceNthni4mkDDzY2Xc2FZKDmYVuDBljabV36wqZp79PsgaJ2XbpKlDwBIqiTQ93PpsaGjApEmTMGLECJx55pk4/fTTMXTo0E12fArUiA6xYcMG/Pa3v8X999+Pl156CeVyGVJKMMaw44474qijjsK5556LAw44YEufarchKsa0bRnz4aPyauwPGnAG5CxrE4iq3uymoNWmEdh5ada2/gBVAZtlWUnJTTNWKRK2prG7LLszFURVrmXvK0V1exRQ7Tkq89IS29a0gcSEASGSDW1hrM9HntsfN5z1P3hh3M544qU9MXGP9zDpgLdw3X+diDUNvbDXyKUIBMNH6+tRO2otPizkcfiBH2K/XfL4IiwAAI7q/w6+4Az9z1kIrKhHiTMM3XU58NIYhL4D5kiMGbEMy1fXY+PGHGpzJTQVc7hq6kNwHQHOozy4H3zjL/jSnovwk/u+hvXNdaaVR2hFE3Yem5WjxkOZyFeLHjOTp5V+TI19avLVhJS6+rHV57Ha82+t27mO6ddUtK8HrqYRpF6TukI5PaUg0W7Gek8A0fvCzuVUX3RcY31ybmZ9MsaoRUdL9PD2HI888ghWrVqF3/zmN7j33ntxzTXXYNKkSZg2bRpOPPFEeJ7XqeNToEa0m5kzZ2LGjBnYZZdd8NWvfhU//vGPscMOO6CmpgZr1qzBwoUL8eyzz+Koo47ChAkTcMcdd2DUqFFb+rQJolO89M6uuPf/voyzv/p3fPfrT6JcdvCbxybimdd2A5jEhWc+gbA2xH9u3A1l6eBl3huTnRDH91mKvzcMxqjcBhxQuxq3rdwDjdxDYUgTXgr6Y8qX/4nFIwXeWjASu60rY9/Rn+Df7jwZQnL88cn98Zf5+8BxAM8N0bt3CXf/6C7c/dhX8Mr7u2JDUw3QfT7vCGKbZfvtt8f06dMxffp0vPrqq5gzZw5OO+001NXV4Tvf+Q6+973vdfhzkAI1ot28/PLLeOaZZ7DHHntkXn7ggQfirLPOwi9/+Uvcc889ePbZZylQ6wRZTiXnSHzzt0dIafXAVtdsRaHaAXmGSpFSL+xqT/U7WbnXctJ4WGW9td5pQqbWLdXLtjyBZGPbtBJnq2i6gCCUFeqZ2k7ve//cCXj6ldHoX78R5TLHux8NRmGXddjpmMV4qdAHUgClgKPxo3qseK8vrgyG4btHzcclw9/Gii9648qfn4CnFoyC28dHYUgj7hvdH4MmPY9/3eEdNA5+H32dMh5bvAteXDQMUkiEYGhqyunnNxQcrhNi0ZIh+OizgdHT4lhKj6X6MG7GTcmEMsZ0tWfmYxZmNwm2Czpaep4qn1skbNJqRSbVXlP6d6bKa6m/1V7Ptm9ppwAk3idGkU4o1UqFTB0uut8gNB2Y9dlNv2EsW7YMc+fOxdy5c+E4Do499li8+eabGDt2LG6++Wb84Ac/aPcxKVAj2s3vf//7Nu1XKBRw3nnndfHZEMTmYcLYD7BqbR0+WDIQn67sB+b5GPSN99Bnr9UAgKdW7oi1z++AdQsGImjwENYIfD4gwPw/fh1hjYR0JRgAtlcJzkYHjSvrsf7dfrjxuSGYcMh7GL7XMmzsH+Jlb3vsdOFrWPHYrtjw1vaJc8i5ARgDiuXOWSkEsUnp4VWfvu/jz3/+M+bMmYMnnngCe++9Ny6++GJ861vfQp8+fQAADz/8MM466ywK1IgtQ7FYxBtvvIGVK1fqnBfFCSecsIXOqvuQKRIwZPaBYqk+agkFAbEKZx/EbmdQTbHgJnFbxB3whc5FS+YTZatlyNy2CwRCS5EJLdXGTl63lTN7CoGwVbL0mqUI2QUEdr80e7h6xdD1eN89Ry7BjHMfwIamAs664Uysdx0MPeUt5AYUIUNgzfM7YPXfdkQgOIojyijtuwFhfUuSS5z9HwIblnn49Nlx8B7eD7UjGjH4hI9Q2KERO5z0LtYMWY9V83bW7ShWr6vDVy68IrquraTFMJFU0XTuGme6sEBwqScW2LlqarqB3XuOCZapuiWeO1sxFRnPXYWKam+b10XydZTxOtMtaKorvtVe2yz1PpBOqt+g1R8u8b6qTH8jRS0DZhV4tOc63YUhQ4ZACIFTTz0VL730EvbZZ5+Kfb7yla+gb9++HTo+BWpEp3j88ccxdepUrF69uuIyxhjCMMy4FtEesgI1IBV8qX0dZnqnOdbO6X5qFdstWEjp5qPWtoQDYVV9GosT1T+cW01Ct/fNSmq3rLmMY6SPJ+0gzNons4DAsv2U3Tlou7X46ff+gHwuwMtvD0ZjXmD41IVwagP4a3P49L7RaP6sF5pHltA8ugSZUycBOGs53LUOnEYO5gOSAzIvEfYW8LcPIWskyjv6KO/ow13tIFxYg+Zf7IXtj1yCAYd/jn5f+hxObx/LHxkNyKRVpIMwq8uS5DJRWKADE+u+y4yGt/ZjZleF8ooiDiuY0wE1qjyPGUUhkqUsUeu5tl5HqpJYv+aY2WbpSk/bsrdLM7Ne61nvCYeb3oNARVCXvpluJARtOnp41edtt92Gk08+GYVCoeo+ffv2xeLFizt0/O7zSBFbhAsvvBAnn3wyli1bFisZ5oeCNGJbx+Ehrpv2MPr0KuKtj3bADQ9MxtCpb8OpDdC8tA6Lf7E3NjbUYN2hG9G0VxSkOes5er1WwHaP9Ub9U73Q6/UCCu/nkP84h8JHOdS8k0fdSzXo+2gv1D/VC/mPPCAEggEh1h26EY1jSlj51+H47P7dIEOG+r1XYfAJ70HNEf2X8W/jK/u9vWUfGIKw2Yx91H7xi19gp512QqFQwIQJE/DSSy+1uP8DDzyAMWPGoFAoYK+99sJjjz1Wsc8777yDE044AfX19ejVqxcOOOAALFmypM3ndNppp7UYpHUWUtSITrFixQpMnz4dgwYN2tKn0u2pVkzArD5RmVcCrGKCKmqEva9tY1iFBdJWOuLfACpaKbSErZIBSRVM/d1q8npoXT9jO318Wy3T55xW1+zzsKYUnHrU89hj58+wvrGAq+/+Kvp/4/0oSPu0Dkvu3h2lOmD9QRsh4wlHtW8UkFvsgtmJ0iIEuATjEpAMUjCAOWBgcL5g6PVFATVv59C0TwnlHQM0jyohrAuBBf0g/N2w47cWoX6flSgu74U9i024/pyHsL6xgH9+MBxr1setOeKRSlJI/bqw7yNzrOIIbtpzqGfRtpYd13pcXWRbzunijoznMfGcyuTlWWS9juzXm37NWQUEjJlxUxWv5azXuf0+yCCyQe3CgspDEFuOP/zhD5g+fTpmzZqFCRMm4Pbbb8fkyZOxaNEiDBw4sGL/559/HqeeeipuuukmHH/88bjvvvswZcoUvPrqq9hzzz0BAB9++CEOOeQQTJs2Dddddx369OmDt956q12B1/Tp0zPXGWMoFArYddddceKJJ3a4xygFakSnOOmkk/D0009jl1122dKn0m3JslwSFqjDUg1tK/tDsdYsoaSnmsz7sUgHY8kP1ez5nsmqP3PdxD4ZwVu6yW1ynywbtLJ3WgVWpafOSwsz8tIAbN+nAWcc+xwA4LbfTYI8aBXyA5rhr8th6T1jUOoFNBzcCDiA8wVH7xdqwJt5fFwBXgjgFAJwL6wQD0TAIMouwmYXMnDAm4C6F2pQGu6jcXwR5SEB1k9oBOZvhxWP7oTBJ3yMgUcuxoLZe+Gdjwdj952W47wpT2LGnK+CcZYMOuMgjEHovmqMm2DORlq5akJbxFa/NCH0OKd0nqCdj5Z+7uznNvo7fvhbylGzLdwWXmfxHTK/WSuvZ2vbThew+w0m1h2WdVWyPluiE33U1q9fn1jO5/PI5/OZV5k5cybOOeccnHnmmQCAWbNm4dFHH8Xs2bNx2WWXVez/s5/9DEcffTQuvfRSAMANN9yAuXPn4s4778SsWbMAAFdccQWOPfZY3Hzzzfp67f08e+211/Dqq68iDEOMHj0aAPDee+/BcRyMGTMG//mf/4kf/vCHeO655zB27Nh2HRsg65PoJHfeeSceeughnHHGGbj11lvx85//PPFDENsqZxz/LPK5AK8tGoZnVgxF/bhVkAL49L7dUAbH+glNgAN4y1z0+XttFKRBwqnxkR/QhFx9CU4+CtKkjHLG4jgW3JVwa33k+zfD69sM5kQX5Jd46P1sDeAD/vYhNo5rxpr5g7D+jQFgDjDw+I/wH7+bDAA4+qA3sNOQVVvo0SEICyU5tvcHwLBhw1BfX69/brrppsybKJfLWLBgASZNmmTdLMekSZMwf/78zOvMnz8/sT8ATJ48We8vhMCjjz6K3XbbDZMnT8bAgQMxYcIEPPLII+26+yeeeCImTZqEzz//HAsWLMCCBQvw6aef4sgjj8Spp56Kzz77DIceemiHKj4BUtSITvL73/8eTzzxBAqFAp5++mkz5gWR7Pv9739/C55d96CaGJZldyYUASfjG67dvT2tRFT7RtxiMQFPKCHVemSllTQgpcRYfdZaI221pW03ey3dO01m7Ju2PaWQGNB3PY6b+AYAYNbDh2PQMR8DANa+MATNS+uw4dBGyJyE8wVH3fwCmGCADOH1KcIpqDFVDEGji7DoQgYMum8Uk+C5EE5tAKcQwsmH4F4T/PUFCD8Hb7WLuhdrsPGQZpRG+MitdLHi0Z3Qa9d1KAxpxOf1Dp5esBsOH/8evnPMfMy490RdQADuWHanPZzdVHeke6oBgK21CSGTlmjGY5bG7pOWfg7Sylq1Xnv6XO0+ahnFBFVzm6wK5ejP+BjVfEsnW0XT1+dVlLXu2f6rc3SimGDp0qW6hQWAqmra6tWrEYZhRZrNoEGD8O6772ZeZ/ny5Zn7L1++HACwcuVKbNy4Ef/+7/+OG2+8ET/96U/x+OOP4+tf/zqeeuopHHbYYW26K7fccgvmzp2buB/19fW49tprcdRRR+Giiy7C1VdfjaOOOqpNx0tDihrRKa644gpcd911aGhowMcff4zFixfrn48++mhLn163oqr1GVs3mXlqygp1WGXglvpmaw7Iqib+qg/R9Idp1FKhDUFWPBdS2Wb2tr2PyoFSP2psVKu5UG0MLFQbjsQ8T+t6JxzyGlxX4PX3hmGxk0d+YBPCJher5u6I5pElBNuFYGWg9/yaKEgTIXLbNcMphJAS8BtyKK6oQbAxBxlwJJp7SgZRcuGvLaC0sgZhiYNxINe3CJ4rAUIgt9xFzTvRB9bGvYsoN7tY/WQ0O7Dfl5fgN48eBAA4Yv+30adXU+J+6e24gjUrOE2TfuyqPdZR4CsS+2c97/Zzqua3tvb6UPuk7fT0l4HK12aG7Vbtta3eB1WirfR7qaWUTsKiE8UEffr0SfxUC9S6AmX3n3jiifjBD36AffbZB5dddhmOP/54bY22hYaGBqxcubJifdWqVdra7du3L8rlcofOk152RKcol8s45ZRTwOk/GNFtkJi0/1sAgD/9fV/0PSD69r32xcEIAgfNo6N/trVvFcCLkd3p1ZfAPQEpgPIXBQSNHtCGzusy5NH+TZG54fUpgXmRIlezKAdnPYfMSzTvWsLaFwchbHKR266ET5wavLdkEHJeiMP2zVYTCKI7MWDAADiOgxUrViTWV6xYgcGDB2deZ/DgwS3uP2DAALiuW5E3tvvuu7er6vPEE0/EWWedhYcffhiffvopPv30Uzz88MOYNm0apkyZAgB46aWXsNtuu7X5mDb06Up0itNPPx1/+MMftvRpdGuqTnqqYtkkmn1mXVbtRlqxL2Q7/l0oW8u2uir2ybQsWz92WiESoUxUf6pjC0s1k6GMbM2wstAgXQ06YuAqDB+8BiXfwfMfjECvnRsgBbDulUEoDStD5iX4Ro7cRy4gBHiuDKcQQEqgvKYAUXYSx2vpJ4LBX5dD0OyAMSBXX4wqRQOgZmHUlK24UwlCcDS8Fk0qqN9nJea9vDsA4Mt7L0r2Sat2H0OReAxUM+AK5Sx93TaoclEvtfRatrqpFVNZWXTQEhXKWhrVXy3rS2MH3hMtFRXQ99IUm6E9Ry6Xw/jx4zFv3jy9JoTAvHnzcPDBB2de5+CDD07sDwBz587V++dyORxwwAFYtGhRYp/33nsPI0aMaPO5/epXv8IRRxyBb37zmxgxYgRGjBiBb37zmzjiiCO0MjdmzBj813/9V5uPaUM5akSnCMMQN998M/76179i7733huclR9vMnDlzC51Z98PO/+OpD5fM6s4suzO6cvZ2GxCpD0rbpmoxKLOao2ZeXiUQqLperaoTqF7xmTxw1YvGj/kYAPDP94bB2WkDAKB5SW/4a3Io7RH9XfjIA5MMgIBXFylswQZPB2ltsRvVftFzxuCvy8PJNYM5Ek6tj7DowPvcBW9iELUSpYE+Gv7ZH/2+tAy9Rq3F/N+PxHe/8TT22W0pHB4iFJVVnfp+ZlR8Js4jlJmfBqLaenufL6uJcZbSmM5jTFd5pl93rdLaazz13shqHh1dVf0trfdf257bHoU9Q7g912kn06dPx+mnn479998fBx54IG6//XY0NjbqKtCpU6di6NChuiDhoosuwmGHHYZbb70Vxx13HO6//3688soruOuuu/QxL730Upxyyik49NBD8ZWvfAWPP/44/vd//xdPP/10m8+rrq4Ov/71r3HbbbfplJ+dd94ZdXV1ep+saQVthQI1olO8+eab2HfffQEACxcuTFzG2luuTRBbAV87/FUAwD/fH4aaEQ0AgI2L+kLkBIJ+cXXmp9EXEp4PwRwZFQ5s7OT8TckQbMzBqy/FgVoeDAy5Tz0UdyvDHxKg+HodwiYXTm2AJWEvbGjKo3dtCTsNWY0PP6NehsQWYjNNJjjllFOwatUqXH311Vi+fDn22WcfPP7447pgYMmSJYk0nIkTJ+K+++7DlVdeiR//+McYNWoUHnnkEd1DDQC+9rWvYdasWbjpppvw/e9/H6NHj8aDDz6IQw45pE3n5Ps+jj76aMyaNQujRo3C3nvv3e771RoUqBGd4qmnntrSpwAg6lZ9yy23YPny5Rg3bhzuuOMOHHjggVv6tDYLVZvd2rTn26vV5Lbat2TRhua21WhrxWa6gjBLRZOtHKslsprcAsDIHaJxaP16b0ShX9T0svhpHfz+Ue6Ys46DNcXVkoVoZmeUY2YazWax+5jtcdGFB+Nnd8zHO++athq6SpMzBI0O3N4AdySYG0IGLrzlDoq7AX7/AJAMzZ/WoW63dcgN3IgPlgzEvmOWYpehK6NALcxuftsW7Mcv6z7YvewcZFfvZh2rvc9L4jjVXmfa/2ft+8Bvw/ugTe8nIkkn+qi1lwsuuAAXXHBB5mVZKtjJJ5+Mk08+ucVjnnXWWTjrrLM6dD6e5+GNN97o0HXbCjntRJewatUq/P73v98st6W6VV9zzTV49dVXMW7cOEyePDmzCmdbp9P5MS1ZQlW+FUu7+3sGwpr32Z149B97w6svAQBKq2sQ9okDtbXxYyFC8Fy0FhZbv//HHzsaB+6/I447dnQLezGIUnQs7gaAEHDWxTMwe0lIR8L/Igoevb4lfL66LwBg4Hbr23v3tlpaey1VfS2m1zdhySblpLXCZhwhtTXyne98B3fffXeXHZ8UNaJTXH/99ZnrH374IR566CGceuqpXX4O7e1WTRDVMerPyo212N6N/g42eAh3KgIAnCal5pjPGulnf+gMGVyHvn1rIKXEUUfuCgCYfOSu+Muj74IxhnXrmrFs+cbEdYTP4dSEYG6k8vEyiwa6e0BYI+BviAoMnLoy1m2oBQDU1zVvgvtOEERHCIIAs2fPxt/+9jeMHz8evXr1Slze2VxtCtSITvHwww8n/g7DEEuXLsX69etx4403dvntq27Vl19+uV5rrVt1qVRCqVTSf6dHmBBbjrbYZKItpaEdJOeGettXfeJCBoQcUo2a9FXhRlxlKYFqrTge/dNUvS1jq7DfdjW477//n17fb8J/Jq4j4ya0jJnHgvkM0pOQrtRBIfcESuXoX3je89t1P9uDerydFgyYztibRDdgM+Woba0sXLgQ++23H4CoYtRmU+RqU6BGdIrXXnutYi0IAlx88cV46623uvz2O9Kt+qabbsJ1113X5edGtJ90NWv2PhxA1wRroTAfHlyqDv8SYBIqblJpU8kC1+xqxiuunovrrj4Crsv1P2z1OwgErrl+XsV1THGhNVlAiXghMwFiyODGo6eCsOus57b0SGzL80Z0X1pLj6h2ne5CV+dqd59HithqcF0XF198MR566KEtfSqZXH755WhoaNA/S5cu3dKnRGwl2IFarRPobV4IwMpxsUBB9ZpgkDLOo3ayFaX/++v7mHrWHzMvm3rWH/F/f32/Yl1ZnkpZk0xC5uKg0WfgNdF5iZKLXjWRMtxc6mTFKUF0AjWdpL0/3Ylnn30W3/nOdzBx4kR89tlnAIDf/OY3eO655zp97O71SBFbDZ988glGjhzZ5bfTkW7V+Xy+YmzJtkJWY9F2HyBrGwCkgJ4absGkAMtYV3CE4AirXr6tcuT+ixA0xhMD+pbhbIz+XYZ9rLmaQWxD5lq///Z4ppZQxxKhC3COsLeI/lP7AC8yeNtFwZnfkMeA7aK+bqsberfvzm3FtPZaqvpaTK/bb5ZOvnG60G3vFkg4HfrpLjz44IOYPHkyampq8Oqrr+rUmoaGBvzkJz/p9PHJ+iQ6xc9//vOKtRUrVmD27Nn46le/mri8Kwa0292q1agO1a26Wgk3QbQJJlFeVQu313oUdmiE90F/AIDfP4RkEkxGFZrcE3BqA4TN2arWmrXNWL26EctXbsSf/vwOTjxhdwweWIc1aysLAJgbgnsSUkI3zw0GRIGLu84BA0NhcCMAoLyqBjvHrUSWLO+/ye8+QbSVjihk3UlRu/HGGzFr1ixMnToV999/v17/0pe+tElytSlQIzrFbbfdlrleKBQwd+5czJ07F0CUl9MVgRrQerfq7k6buuC3J9lbCpOAVUVK4KzjEoOdz5SV26TWeGoSA497goXGkUz0vFLXa6u2p64rQwk4puXGfz82EVOPfR7DBq1D85KhqN1pPWp3bsC6BduDlRhkXiIYLOAtcxA2e3B6+XDyAswLIX0HjLPEc7JyZSOOm/Ib+H70mD348NvwPK7/tu+D18fYmioxzR8arXkrXTh1ZeS2jwK8fIOLYYPXAgA++DTO0XTMh197+4HZz0XWdbnDks8dYxXXyzpWZ/LXqr7O1OtSykwVuCpteB+0daoEQSgWLVqEQw89tGK9vr4e69at6/TxKVAjOsXixYu39Cm02q26uyCt8Ttp+0yNTUo2cZXRT5qW7M9W4KkkfmZ9kEbjFLM/lM2HepXjVvkwrxZ8qaANASpgDstcTx0YCLNDutfeG46pxz6P8bt/jMZ5h6D/IZ+i95h14Dkg/7mH4sgySiPK8JbVQAqOsOjCrQmQ61tGaXUBkMwEgfHzoYIyRVaQxguBnhkaDXUHwloBf2B0noXPc+i91yowDjR/Wod9RnwOAPjw0+3R0Fhb/X62gWqNcXm19Vaer2qn0dLrw74qSwVo6dddq7T2Gk+9N+w5qcnDWPu0cSZpT0SCtWsWsLpOd2Hw4MH44IMPsNNOOyXWn3vuOey8886dPn730R6JHs0FF1yATz75BKVSCS+++CImTJiwpU+J2Eb55/vD0VzyMLj/eozgTfDX5+DUBug9ei0KH0c9zMpDA4S9owAq2JiDFAzcE8htV0JHZkEyN0Sub5TXEjZ5kEFkexbHlAEGeKscOE0cffeLmjhveHsADh8fDZJ+8a1dOnuXCaJTCMk79NNdOOecc3DRRRfhxRdfBGMMn3/+OX73u9/hkksuwXe/+91OH7/7PFLEZmPJkiXt2l9VwBAdo1pOtAxl9gDyaDp6lYNVWxdViwkUrB2qhlJIWlTZMi2z1o+dtuW4wyqUH84jm4455gcON9v28VLDucthDs+/OQoAcMzBC9Hw+kAAwHZf+hzueg7vcxdgQON+JUjOALgorytASsAphMj1LwLcjIVq6QeIlLT8gCIYB8Kyg2BjDuAcwYAQpZFRf7Tadwtw+5ZQGNoIGTKE7/bBIeOiitEnXx2bOF7V++jwxGPAYisz/TykH0v72NXIavyfdWxAvTaYfm1Ue32kYRAtvwalqF400IH3hP3eSgt0VFyQpKcXE1x22WX41re+hSOOOAIbN27EoYceirPPPhv/+q//igsvvLDTx6dAjWg3BxxwAP71X/8VL7/8ctV9Ghoa8Otf/xp77rknHnzwwc14dt2Xam6OFFL/VF4p/oDKskFFlQ82lfeT/oH5sLQ/NBkTYEy06QOXMwaHRz8AEtv2PpyZIIJzBsZ5dlCRyoWqFhykYVYQp/+2rveXf4wDABz7pTcQLOwH4TPUjtiAurHrUPdWDRAAwfYhiruVo4cs9OCvK0AKwMkLFAY2we3tA6yauibBvBC5fkXk+5WiIK3kwF9fC3AHwpVoHF8EGJBf6iHX4CHcUMBHP98PKx7dFV+d8DYK+QAffDoQ734yJHG/9LbD2hRkZT121R5rxnniueA8O9Cyn1OHszYFZGof2/ZMv9aihy792pTppnbVX9vqfVAtOEu9lzZh4Wi3pqe352CM4YorrsCaNWuwcOFCvPDCC1i1ahVuuOGGTXJ8ylEj2s3bb7+NGTNm4Mgjj0ShUMD48eOxww47oFAoYO3atXj77bfx1ltvYb/99sPNN9+MY489dkufMkG0i5ff2Rkffro9dtlxFb55yGt48MXh6H/IZxh0/GI03jYOvd4qoHFcEc17RW07cp97EGUX5TU18OpL4J6A17sMt64MUeYQvqN79DJHgudDcNdMNgibvFhJY5BMYuPBzQh7C7Bmhl5vFvR5+Wtr4L/j4FunR3N0/zD3QFSbikAQmwsJ3oEcte4TqClyuRzGjh27yY9LgRrRbvr374+ZM2dixowZePTRR/Hcc8/hk08+QXNzMwYMGIBvf/vbmDx5Mvbcc88tfardAvvLf1pJS5OwQ6sVEsQHkVKYj3ghKlUJc0MAAMYtpYMlFTaFLhpg9nYyUTyrWlCtOW1R5VJqT0tVh4Jz3cmfKS8WSVuLcWb+dnh8fxj+68+H4qbvPYhTjnwJf7p2L/h7rkZuuxK2P3IpVjw2AmEfgeLIMjYeVESvBUD+Ew9ScpTXcDiFAE6tH7XuyEc/aaQERNFF0JiDDCPvUHhRkBYMDMECoP7FXuA+h+0SnXH8P7Bd72YsWd4Pf31hL2NrWvcnTcIajZWx1h67rMe6Go71XKePk1ir8rqw90mrtXqdWdJWFlImLpOyFSlMFeBUSSGw318JNZtqCogM5s2bh3nz5mHlypUVY+5mz57dqWNToEZ0mJqaGpx00kk46aSTtvSpdGtExudTImCzPmiklYsjhayoBmXVDpSMAE2uWipnTX9YytTfiD5g7Q9eO2hzrG1FYp+MwMuxrbh0awgdaAgIbdepNQlRrSo0DmiYkJDxFAIGASascU1xMeizb4zBa+8Nx767LcFl3/krrnjoGGx36FKs+cdQcIej15sFSE+itKOPxgOKCPqF6PV2ASg5CMsOwnIezAnB3QDMFWAs6o8GwSBCF8J3zZgoHlmpG/crQvQWYAHQ+8VecBucKBCL79vuOy/HN496EQDwi4cmQTAHDMjOT+PcbDvZ6oW6PArI4scjYYFaI7WsFincsqyznru01al2cVLBmf0asQP+dNVn+u/E61O28nq2gzerulMHYpbVmQ7aWnurEBECHKKdCll799+aue6663D99ddj//33x5AhQzbJfE8bCtQIgiAyYbj5t8dhzhW/xoF7fIyvv/MO/nvOQToQZpKhbkENeBNH824llHbx4e8QoPB2DvlPPDDBIEMHoZ/xT9sKgMI6geYxJZRHBAADeDNDnxd6wV0fy2iOgNMrQO/+G3HmOU9gSdALH706DP94Y7fN8SAQRKv09Ia3s2bNwj333IPTTjutS45PgRpBbCOkE5uNWiaqN+lUV1AqQUvZ0cKoFMo2YlbzW4YQLO5oxqzOZtoGZQKt1SepIgH9d0bCeiKhnbHKdYfpprfc6pmm1R6RPL5UBQPCNKK1rUApspvfMgh8unoAbv+fybjstEfxr19/GktX9sNTL43WlyMEer1TgLfaxcZxTRC9JJrGl9C8Vwm5zz24yx24ax24gYCTEwibXQgwhL1D+NuH8HcI4A5txtBBa9C7rgh/TR5r/zQcwXoHzAUgGQZO/gS9x36B+j5NeEwOBlYOwXvv7QZeCCHLblXbM11IoAsnnOxCAbvaM2s78Ryw1gsPEsdug8KQfB3Fa9brTb/mrCa30lbUqpVm2tv2+yCDqJAgPnYoqZCgjXSkirM7VX2Wy2VMnDixy45PgRpBbOVU+7DIatIpQgmE6kPJ2jms8mGmt2XyAy8REVbPF2LWnE+OEJxF/3wdkw5WkYukm5+mgjKzZu9r1plld7KMIEFmBICSMwht6UkrIDOBixTc5ETZFmgcdD46f1+MHr4MXzvsVVx99p/Q5J6IhSsHAZBoXtILougiv8aD92RvFHcqo3nXEkSNRGknH87uGzBsxAr06dOEMOBYtaoeny7vj7IfNbR1nBA7j1gON5RoerUfeg9uxPBvvYdlD4xCcXkfgAHlz+twwh4L8fURb6NY9PD9R7+KugmfYePK7dD00QAwngzC1AOYbjtictR4xeNe+RyYfDZe5Xp2E+Ps59G6PDN3MXqd6Ofaeh3pAC0rR01WCcKkqJ7QKVp4T4Qiet/EZDWPTr8liCRSsg4oat2nCObss8/Gfffdh6uuuqpLjk+BGtEpli5dimHDhm3p0yCILoThtvsnY7veTagdvRq9j/8YIzeuRlNzDs1LemP1vOHw1xTABEPNR3kUPsrB7x/A36GM3Y5dhrJwsOCfuyCfC7D7bksBDnzy/iDwNR52HLwOdTLA8kd2RtNH9ViflxhxzpvoO2E5VjzWC708Hzce8zeM3/0TlHwHV/7qJHy0bCiG7b4Obq/yln5gCAIAVX0Wi0Xcdddd+Nvf/oa9994bnpec+ztz5sxOHZ8CNaJTjBkzBj/84Q9x2WWXoba2yhgbolNkiQeRAGa++Qu7gMDaRkodkKEEsw8iLCsoK0HbqqRjUujZizy+nMc91ADEvdQQr7MqKoo0FZ6W6qIT0xkzhQephPUsC05yDh5Xo9pFBTyu9BQO01aodJhWzBIqGjfjb1SFqI0Ehwxd/ORPR2O301/CxO2W44YdXsV//2M/zN1JQnz5c6x4bGewuIaWAch94WHA0AZ4zQxf/GUYen3WB9KVWLUv0G+/lQjfBxo/6IX605ai9FkvNH9SD+YwSOFg/dsDULfbWuy+7xLccPL/YciABqxryuOK+07E+8V+6HfIEjR90g/NS/qZfnD6geeJ6k5t41pFBqoRsNpWj1lSpeTWdmVBR+K5s55r+/myn9Oq6qpdTJB4HcWvL1ivM1vxVRXK6cKXKq/tCpUsTL5PTN+05Lr99iBFjajGG2+8gX322QcAsHDhwsRlm6KwgAI1olPMnTsXP/jBD3D33XdjxowZOOOMM7b0KXU7MgM1K0dNJKo7hcnDsT6MmM7NkdUPaFtIVT4IdXBj/ba3q7VesNtvZH9QZ1lmLeRExYGGEKwiN41bwRnnTFui6VYdOjiz7bIqsy0lOAqj1uKLFX2x7kMOccRHmPqlV1H7+S54fFeBDcO2R9PH9QAkwBgYJPKDmiHKDsINNXACBwiA8sd9gHGrkB9URNNiBp4T8IsewB2ASzDG4DS6GDxwHaae/gJ26NWAz1f1xRUPH4/mseswePu3AMmw4a0hEEEuDtKQbNxrVXpWa8lRYVU6yYCMZa1XyxlMPU+Vz22yfUe1Fi7VXlP6d7UvEtUs+8R2smWN/SUmep/YeWnS2s4+HJGkIyOhutMIqaeeeqpLj999HiliizBx4kS8+OKLuOmmm3DVVVdh/PjxePbZZ7f0aRHEJsfpVYYUHL//30Mw/effwoo1vbFnv9XYadAanHnaUzhorw8rFDnuCYiyVeHZ5EGGHG6feKJBwMFzUT5W37omnHH8c7jytMcwoH4jSuB44sU9cOaMafjgnzvhsz+Mw+L/PAQrHt0ThWFrMeCwRfFRu0+uD7Gt0pHxUd2nmKCrIUWN2CRMnToVJ510Ev793/8dxxxzDI4++mjccsstGDly5JY+tW5D5PhEgUAQsOQ3/8AoAnZ/KJQtKwiIVIQg1AeUcfkkSyhqsop6IcB5NHuSsXz8O2l9Mm1VpdUVVK5XLSbISEKvSGoXVY/huFwnh9s91bgwFaAcHMIX5qSg7qKxRCuQLPpqKxwseG8XnHb9efjGlGfBxjShfsBG3PbD/8Fnq+rx1IIxeOGNXbDEd8HzIZgHqx0Hhyi74IUQ4Byuz9B32DpcfNEfsf8eH6EmF+KdYj2aN3i47/8m4vW/7QXGATjRhxoDUPysP9a/UUK/iR/C6eVDlvOJAgJbReOeWdePX0Il4/oxy34OqihxbSoKaeX5t9YZUq+jVAUoZ35K8c1Qf+1mzmFg9g9Cq9oz/l02Kpvdb1AEIqFUB3FFsZSSlLQW6OntOQDg2Wefxa9+9St8+OGH+OMf/4ihQ4fiN7/5DUaOHIlDDjmkU8emQI3YpBx11FFYv3497rjjDjz66KO48MILcfXVV6Ourm5LnxpBdIqwOQcn74M5AlJwNBXzuP+vB2Oo+y5kbS8cPmYlBg1Yj1Mnv4jvHP0iXtowAL9fuwumnPUEvDUeSr6LUg54a4iLISOa8e0j/g8L3Tr8Zf0w7DnoE9S4Id75eAjmvLovlo0u4rM34i85DNHMUMkAMDAvQGGHdRBlF6I5B0bCBLGF6enFBA8++CBOO+00fPvb38Zrr72GUqkEIJp5/ZOf/ASPPfZYp45PgRrRKWbNmoWXX34ZL7/8Mt555x1wzrHnnnvivPPOw7hx43D//fdj7NixeOihh7D//vtv6dPdpqmWXpZQBHyhlSLum/5qdjI1yzpIECQPbvWpYlY+kN2WA4iUDoZctI0QDosUN5fn4MVyScAZXLUtTI6S6zAEYbztRv+0g9DkuTlWXlp6SoHaXwgJx3X0NhApZ66nLhfJ9h3xviFCqxWHA/jx/fE4RHQXKpQ1f10vOLU+3L4+/DW5SAXiHKIgMf+VMXhqzqE4aM8PcOi4RRg/ZjGG9mpCv1wR7oiNmDLuEwDAO8V6/POL3XDYdkuxfe1GjCoJ8IDh3986EMv+tDs+aeiLwSe8C9ZQA391b/BciJqRDchv34jyml5w8iEKO6xHYfB6rH99RNyOw1LOOAPzYvXNKiBwXCdT7VKPk53357iO3nZdXnUagZ13ptbV8+JwBtexlbP4cuu14FnbDivr9hwMYaSgAck2HVbepMwsIBDQElgqqSzrfSDj94n9nrEV6WppbkQlPV1Ru/HGGzFr1ixMnToV999/v17/0pe+hBtvvLHTx6dAjegUM2bMwIQJEzB16lQcdNBBGD9+PGpqavTl5557Ln7yk5/gjDPOqKiGIdpH+nNI2zJ2MrSQpidUKCr7p5XDKsGZZYmmP/zCeD0MwJy4/xeLbjyUwmxbllVLSeM6gBPJdQBwHQ6/iq2p90lYmyYQc1XAFkpdAep6KblJfThbhQXRXTZNblXQkw7Y/LV1CBrz6LPncqx5bleAOyiMWA+3TwlNHw1A6HD80+2Dl5/5MpruORGD+q/DkC99jMW798E7bw5HL4T4pB9HAI7/feJLmLWyPz76fHuwHTdiwOGLgWOWYlhhMfx1NVj5193jgItDBi5qd/4Cffb+HDLkKH/RG2ue3w3FzwYCPAouddWnw5OFBZZt6cT3y3W5flzsSk/1+KVtZhV8VWtyyzmD65h9zPMfnZJnFyFUKSax7U6HBbraU722mBTQXY7DMPNLBYIwWcVsv1nKxu6PjmHeGyJRAWqsT/vtYW8TRJpFixbh0EMPrVivr6/HunXrOn18CtSITrF06dJW95k2bVqXNQIkiM1F0FCL9W/siH4TP4DwHTAG9Bq1EuvfHIJgfQFOXQnbHbQEG9/vj6aP+mPFF9th5aP16PPpMpQP+hQ8H6Bp8XZY9bddEG7MmwN/mMeKjTnktm+GKLoor+qFoKk2yk0DQ/HT7bDsj5Eanajq7D6CBLGNI+BAtLM4oL37b80MHjwYH3zwAXbaaafE+nPPPYedd96508enQI3ocgYOHIgnn3xyS5/GNk/FN3wlHgTGukn3gVL2jv5t2aRMiERhgVEbAkAoNSJM9amKFQ5utVLQKlqQatWBeD1pfQXCrLtutO6HRp3xLFtTaBuKQ7jxtpQJa87sY+w8XWiR6AlmCgtccD2vXfihUdFgFDS1JkMGxOpb47vDIQMXffb8FGASGxcNwrpXhoN5HGGxgBWPjUWwoaDtR4QM61/fEetf3zHxXDIVZMVKVHlNX5TX9LUKAaq03LD7pFmXq+PY6hr3HK2GpQsI0sn/rn09y1q223N4LtfKmecYFc1zM47nJhVVZXFWG8QevV7i15ZVlKKnEYgg9ToMzXqYYXcGRnWz7Uz7/ZDVh1D4QhfmCJmtYBOV9PTJBOeccw4uuugizJ49G4wxfP7555g/fz4uueSSTSJSUKBGdDmMMRx22GFb+jS2eVqyPhMfNHG+lfQr+0fBF9r+s5PeZBiA2QfP6qMmAkBG+Wh2jhqP/40w5HSOmmAuXB7t63GGIMPujIK2OAhwTHAWBFWsTxUEOFbQFkq41jYQNcF1vZYTigIIMxPUc/Rjxj1uRlH5YcX1JDiaPtgBTR/sED9uEtwBJJNgcFBaNiBqKqyLPNuuGlSMfLJ7unFesa4DNs9JrHHPWJjMCmiVtel6HE4ciJkcNW4FWVxbpq4VnLXUO80EcMYCTQZn0d1wubG+Xc7gsKhNicP85GsqlaMWNV5WL3i76tNK3AwCXcWcSCqzX/NW9afJUQuTX3TI+mw3Pb2Y4LLLLoMQAkcccQSamppw6KGHIp/P45JLLsGFF17Y6eNToEYQBEEQRIfp6cUEjDFcccUVuPTSS/HBBx9g48aNGDt27CbrdkCBGkFsQ2h3MpTa6gsCCdeqYJOWusbT1mdolAQWBNlVckFoJW4blYI5nl7nTvTbYQFCaRK/hWVf2QnkrlZRONzYRgyEWReWBaorOqVtfUoIYVQ3peAIzxRSKHUo2seocnq0lDWxQN1GdKMCiFUokVDRYjVMSG31RtYx09vaonOYsZQTfdlaVvbsfdVxNNVUNIcnrmv3TuOeqe50PKsQwKrqZCllDIj6qNkVoGrbdbip6HQ4PMfado3qZluegFLL7EpPrrcT0wgs21wVDnAIa9u8DhM90qzXZ6Z9b722pW+NkLLeD8JKBxDW+ycITNVnGJptojo9PUdNkcvlMHbs2E1+XArUCGIbwv5MUjFWECAxQkp/6IRSV7ZJFYD4YWKN2cGZOnhg5/0EVj5QmLRBEeWqJXKLrA9ete5yx8pLgxW0MYTStO0AIuvMDs5UBajrcoTS5KuF8T5RjlryH77dsqPq4+iHiWCNK7srfgwBQHIT8OpxUxA6KLKDtuggVlAmTADXKtychx24pS1OAImxUHYzW9uqtO1Ok4PmGLvTCsrU42TnpTlWbptd0em6LHvd4QnLE0i24YiCs/j0E/lqQdXXTiI3DUjlpYVmPbS+bNivYSHMaz4U2sa214TV0sYeIWW/r+y3B0FsKShQIwiCIAiiw/R067OroUCNILYh7G/72rWUMJVqvkCoFLUgNDanZf3oNV8kVLSq46Ri9UKKAEwrHHGTW+bDYW7FtmAuRLztcteyvqQexuxyqZU02wKtVgHq2H3UpFHdtFUaKpWtbZ1Jg1hdcV2OILYwXXBtKYcquR3cVAhyZgbdO0hYokrJkqFsVxGBIl1MoCxO/TdSI6IymtkyJ6V6xZau4xobNComMIUF6jGwVTmljHnW9RyrYjNd6WlbnmrfpN1due0wXxefOFYBgb1txkMFkMJSeauNjbLVNbvCM1VMIH0BEb/2Q8sGFYHQNQj2e4wqPlumpxcTdDUUqBHENoSdghPq6jSmg7PQbi9gfQCxjA8tKaSp9EyXuKkALgyAuMktwiDR/BYAGHd0npYDk6Nm21qcBXDjwMXjDIGyLS17TFmgQrJEBaiyQUNX6uAMECZfzQrKRCuVntXQDYIBCC5NhaBqoMtlwg5NdLnnJo9NoYK3dpMRmAGVwZndxFb9duz8MsvOrGZ32gFaxZqdf2bnpdnBnsMTlZ62zal+G4sTiUpPXuU14sT5aAzCfCGwm9zaFZ2hbXdmlEIHQaIlR7pNjUgFZ/b7J9A3KROHJqojpP3+bPt1iLZBgRpBEARBEB1GSLR7xNa2PpJr+vTpbd535syZnbotCtQIYhvEFhJsi8az+qjZNqiTkViNcqiTq5mtotkHTzS/da1ts8adyKbizNU91RzL+ox6qikb1FR9CmlvM7Pmmstti9MuMlBWm1LWov079p+fW0UAwpJOmJodalXYptU1hV3dKS01rD1UWJ/Wuq2i8ZT1Galoph+aa839rGZ32kpaes1ubOu6yf51nmOUOFP1aao6vYSixjO3bbtTbdu90zjzjXJrv96ymtxWed1KPzRjo6wCGvXaT9idVh+1tN1JRQRtQ3ZAUZPbuKL22muvtWk/xjrf2JcCNYLYBqn2gWJPKQitPBxt/ZRCyIKxgZQlmviQs5vfBgHgxgfnVh6b+qDkQaJVh5DRtkjZWnYFqPowF9LKTZOqJYfQzXGFY6o7hZv9QSCs/2BhB7+iC2EHaqxiXXBZNWhTSCvAswO49pAM1KyK1FRwlm6tYeeicW7sTrvNRtruzMpRs6s4ddDmcOTiY3tVrM9kE1s7OIvz2RI2aPbrwkGQbMlht99AuiVH8luKzAraUnanLCXfByIITS6nlS5Q7QsQQaR56qmnNtttUaBGEARBEESH6YnW5+aEAjWC2AapUNSU2JCo+hSJRp5AVFRg1LUAshCPfwoCoByN80HOS9lJ8brjJHtZRTcChLFl5bjgqgIUbtUK0FysxIRSaAVGSDVf0dhkwrGKBizrU/1tfpsGuR3BPi4TUitVgR4rJDLVNQemf11CieugosYtu9Me/2RflhzjZGxNllDXjKJWze5MFxOkG9hmNrZNFxA4RkWrLCYwazmn9UpP2/pE6CMxa1b9VmtBOdumL5eTTW5L1nbqfWCraPZ7ptr7imgZKiaIePvtt7FkyRKU1f/SmBNOOKFTx6VAjSC2UbTL40sEgZpSEOWpAancm9j64QWTlyZ9J7HN1AHLPqQb/aNhZUdXP8I1H5YyDt4YdwBuphUo+0rItlWAqiHpwqr6zOsApXr5fphowaESidrXEkMFPGEgEsGZCsqYvpyZ5qiWxSmE1EGZAxPw2QFcW8gKyOzt5BrXEwZsi9Merq4COMflieH1WUGbPVhdW5wO09u2JZrzHOTj9ZzHdcCdd1hFoJZzWLsqPR0WJKcQhMnXWfSFwGrIHH8QSr8MlOMAz2pHI/30dnRd9T6wZ+IKq9IzCKL3U3w4oo309EDto48+wte+9jW8+eabYIzp/DuVnxaGnXsxUSMTgiAIgiA6TIioRV27frb0SW9CLrroIowcORIrV65EbW0t3nrrLTzzzDPYf//98fTTT3f6+KSoEcQ2iq0CKKW9nANyJaMeOPG2kzfJ1LIY/4vMm21ZEMkCgsyxPIGxQeMqToQ+4JhtpfKEMlkBKlm0LhmHZDUAIqVFK2mOsS/twgJ9ucus9eQ3cbu/WkTryhrnDEFgV3gaOzGI769S0ThnWi2TwhpxFcoKhU3jZqxVOY9qfytljFsFBFlzOqPxT07F5bZyxqxqUFslU7ZmznMy+6XlrXFSUTGBUcm8KjYnkCwgcJiEy0rRvqyUWenp8BIQxMqYZadr6zMoW9ZnatyZXVigVLRiCJTNtrRUZiB6byh1LSyFWpSz3FOyPdtBT1fU5s+fjyeffBIDBgyIVG/Occghh+Cmm27C97///TZXiFaDFDWCIAiCIIgOEoYhevfuDQAYMGAAPv/8cwDAiBEjsGjRok4fnxQ1gthGsb/521MKgiDu/O9XFhMExRC5WF0TpQBOIVJiZDGAVP23ckFSsVBynesYJU3lqoUOmFJCuBvlrAFweRkyHpYuGYdgagyRKSzIOXld+RXGxQQ5hycKC+yJBcKp/F6ZrVgJKFWNMwZHt4YwapPK6QOS6poIpZWbFurbMDlqVjGBGyls6fMQ7chPs+GpXDVWJV+NO0lFzR4hxVMjpJyMXLNknzRVHGCuF6lr5nKVl+amJhDY2zmrVUf02+SwOSkVzdHqWhkuj3MdE73RfNNyQ08oCC3ZuJxSfOPXYimALMbrfghRMttB0eSjqd+md5qZQBCmhrITbaOnV33uueee+Oc//4mRI0diwoQJuPnmm5HL5XDXXXdh55137vTxKVAjiG2csm8+w/J5a6KOLxDGH1ZBKZ75WAghlB1aMNYnK1gzQMs+EBcTSNcBc+N/E+kKUCAK3PSHaVnboNxNz/2MP0x5GSIOooRwkIuPYxcT5DICsvgexb9NfzXkACQLrOJ5lKHeNwvOme7XFvhWMUFgignUmhBmbFSiAjSUiQICYQVwCtnKp5EdjNm3aW9zJ1npaVd4pi9PzOy0rE/OWLJ60wrQgCg4S/ROy1nBmSomcJlVQGACMbuq09MWqCkgcHgZThyQOcwUnCRmeoZh9PoBks1t1estVekpfStoi31L6Qsz37NoZn2KUqj7CRq7M8hscmsdjmgHPd36vPLKK9HY2AgAuP7663H88cfjy1/+Mvr374/777+/08enQI0gCIIgiA7T0xW1yZMn6+1dd90V7777LtasWYPtttuOJhMQBJGhCOSi7VwphJOPFSvVM6oYQuSjbV4MIPPG+kRsfcq8YxUWGPUi0arDUXZnGZKpRHdXKyCMMTiqHxrjEPG2FDyzsCCpohnr01bajDpmrM3oyvGpBJX/EDkXUE3+eWCUJz8QsfKmrE91H7ieMqDtUMv6ZIKBq08Y17TrSFuw7bE/bcvTnDfTxQTReVW3Pm0VzbY+XYfrfdJjobS1mWVxWvvmPQc51xQKeBnWZ85hyFvqGlC9gMDhJW19OqwEFlqKWdzCQAZlS0lTrTdSLTksa163mCka61P6od4WvkCorE+rd5pS12xFmnqndYyeOEJq+vTpuOGGG9CrV69W537SrE+C6OEIYeyanC9RLkcfoGUPcJXVE39ohXkHQWyHOnnHjNbxQjA1WqoUgnnxAd2yCc7KPqBsULey6lOGZfPtkXFwVWXIncx8NZdzSB185aP7IisrQa17Gu/DAddUeDq8MtDReWlW8OYw08yWM4Ygnv9o9yETQiaCNiAaD2U32LWtT0c127VnfQqZ+Z9VBXV2AGaTlZMGpK1PuwK0MjjjnOkgy7G27Sa2nLPEWCggaYfmPSdhd9pzPG27M6vC04v7yrm8BJdHAVm1vDQuy1YgVobU1mdoqj5VrlrZt/ql2WXOvn4Nw6poliVT6RmUAoT6i0r8PiiFiZQ31Tut7EfvJ6J99ETr87XXXoPv+3q7GqSoEQRBEARBbGbsWZ9dPfeTAjWC6AZodcCLCgqASB1QPdUc63eoep3lQzAvtoryjqmY87ipAHWNiiZdF0xXgMb/OjgH4kpPMB79AJHKJkxhgWvbnfH+UjjaHlPCmkSNda+EuSCBAFe3k7EPr/INNlLQjKql1LYgFFqB860pBUZFS/ZOk5bdmTXWKnGmlgXqZNyXtO1ZbTIBy+ipllDZmLE4tSXqmL5nDktaoraSBsSVntZalt2ZSxUQqAkS9rrLm6PfrKSLCVxehsvK1rpVQKALUfyEuqatT6vBmcxQ1+xKT1lM2qChVpNDvR1YvzMFulRhCtE2enqO2pIlSzBs2LBM9WzJkiUYPnx4p45PgRpBdAOUXZMYgRMw01nDskDDOC8tKAXanmSlENKLLSTPbDPPsj5d15Q0Jlp2xJ94VhDGAl8HbYyZfCuXc93SQjKuYywRW6MuKwFO3r5n8e9sGzRaT1qKdqBmBzH2tpASDjPWp13pqbZD2+6UtvVpzR8Nbcuz0jNrb8NbZtmidi5aVlCm23PYTW7tvDTbErUCNc+pHCEVNbatbLdRze7MO8l1FXDblZ52jpptgyby0uLgTIZBMi/NTroEopw0uyutylcrhsbuLIbaBhWlUFv8YSASlqc6hLqJaARbtE22Z8foidanzciRI7Fs2TIMHDgwsf7FF19g5MiRnR4hRYEaQRAEQRAdpqcralLKTDVt48aNKBQKnT4+BWoE0Y2wK9g8D8jFFZGBZX0qGzR0eaICVMTqGs8Z61N6PLI/AcAtQ+pRRbHy47owZZUcCGOblPPMwgIw6GICwbkWxlQlqCWQZShrGdYhkxXbiTVbjQpY0uLUypTIVNT0bykTKlvWerQ/t7ZNf7XWyLI77W27Ua+tniWUQktFy1TXUk1udfNbbX0mm9nmtZXJWrc7WUn3SUtUenJT3amKCaoWEIS+KSAIrGZmukdaOVlAULQqPWPlTFg2qF3pGVrjovTvVP9c6p3WOXqqoqaqPRljuOqqq1BbW6svC8MQL774IvbZZ59O3w4FagTRjbDzbXI5iWJRfWhHa24p1DZQ4HLwprhjvMfBPVMBKlXumsd12w7mOiZfLQ7OWNlJBmpZ+Wqc6324E1WBAlGOmslNUx4oUl04WrZB7aDMqRKoZU0mcB1uqj4D2/o0QVuo7U4kgjfbBg1by1Fr5cMonU9nB2pOFbvT2KDqfrcenNnVoImgzQq87NYbuYxArZrdmbA5VXDGSyYvjZejAA2IAzJru1pemt2KI71W8k1eWilIWJ+qmbPf5Jvmtla+mnpvFItWpadlgxIdo6cGaqraU0qJN998Ezn1zRhALpfDuHHjcMkll3T6dihQIwiCIAiCaCeq2vPMM8/Ez372M/Tp06dLbocCNYLoZigbp1g0k57sJri8OZIPuOcgjNWyoBjCs1Q0Y32GQE4VFvgAL0YHUnIO45aixoyKxrhphMuMAgYAjmsVEygq+922aIOqqs9ymGV9GlmOM5EoMrArOm0LUX27t9W1ZAGBUdlUwnlF1WeGQtDeYoJ0IYT6naWeZVmjnsv1MdyUombmd7LETE4gUstcXqmi5RyWWfWZtjuVkmaqPo3K5qBkbE2/aAoIbBXNLyW9yGJcDWy/mHWlpykaiIoJjLoWWHanUtH85iDR3FbfRDF5E0TH6ek5anPmzOnS41OgRhDdjMDqYpDT9o5pgqtz1EoBApWX1uzDURZnFetTWm0i9CxQzsDKdqsOK4CLkQB0+GFZom5GApddCdqSDWrsTTtoi61MxvXlgWDw40+EgAu4Qs30lJk2qL2dqPrMyEuzg7BQ2hZo5f2y908HZ/o+WcGqk65czQjK7Ly1LIuzpeDMtjnVb9cKyNR23tpuye60G9pGv0twWXP84PiJik7pxxGSX4p+AMBP5qUlZnmqtdimT0wgKAam0rMYImiO9glKoZ5zm25uC0S2p92eg+gcQibfA229Tndi3rx5mDdvHlauXKmbWytmz57dqWNToEYQBEEQRIfp6Yraddddh+uvvx77778/hgwZskmmEdhQoEYQ3ZRyOVLQgKgCFACKLuDG45d4k+mjFngcPFYjmMPA4nXhBLqfl+TMFBZYBQQytkMZZ6nCAmsf3VMtaYNWqGocYNL6Nioq1xnyVsNb2/KMVcNQJCpAOatU2jiTum+Yra4JIXWPscSsT1lZ9akuAyptz9Ysz8RdzlDYbOXM3sfJ6KPmWnZnWkXTNmhizFPS5lS/7QIC2+40Y6GaTRPblN1pK2nR7+bqdqceD+VnFxCUipblWYrXrAKCJh+iSdmdIUSstPnNVgFBKYAf7+OXhHFS7UpPam67yeipxQSKWbNm4Z577sFpp53WJcenQI0guilCmFQf140/bF2Goh7XGeoPM+45emJB4JpZn5yzZL6aE+3PVEd911R9Ss6NxZmwQU3uWoUNCnOYCjjA4kiNSYFQ5PS6mg3KGQeP89QcKyBTuWucGWuUM6krQ10uEYjsoE19gCgLsbLhbWUFKIBEBaiivTlq9tzS7ErPKg1vdV5adnDmMJZpc6qAzc5FczlHzlHXkyYgS+WlOdya32kHaEB1uzOxXk7koMmSlZeW8iplU5CZlyaafJOXZk0g8JtMpWfRSn8rlaReo+a2m46eHqiVy2VMnDixy45f2ZiIIAiCIAiCaBNnn3027rvvvi47PilqBNGNsWeAApGyptSjoiN177SgyY+sS0Q91ezCAuHEqofVTFXo8UYlc2Pc7p1WrHpO6nt0VhZHlhUa3aDZZlJYSlsenEX/xsrxlJbI7jTFBEo5C4SwtrPVNZdLnTsThJXKWYX1aSlteq2DyTdpqzOrAjTT+nQY1FU5a5uKZq8Dyg41dmeWxclZYBUTlKoXDgCRWhYXCki/mLRBVQFBsZQsvbQrPGMpWFucxUBbnKLJTxQQqKIBvzlAEO8TlkIUi6ZPmlLSaKZn19DTc9SKxSLuuusu/O1vf8Pee+8NT+WaxMycObNTx6dAjSAIgiCIDiPQAesT3SdSe+ONN/QEgoULFyYu2xSFBRSoEUQPwOSqmd5qrgu4zZEyEU0mUMoE1zlozFLRpBdCcqOuAamWHbxo1LJEMUH2P6pEvppVQKBUNcYEmIjPjwtdTBCIHBivzF1jTvQt1uUcbvx1PSosUKfBEafhVahrKmFeSOh2Hq5eMyqbSPVRUwgpN2mOWsVgef1QJtUz9dvT10NmjprLub5eulhArSmF0UnlonHmx/tYvdFYCW68T0WfNKAyL81uyZExu0mWkuqa3YoDiAoIEhMIrAICv1m14bD6pTWHyRZsaiKBJQATm45oekf7r9NdUI1vuwoK1AiiB6B6RRVLprCgWGRqIhTcpkBbn4ybMUSMc+RUoOawqPITAGI7VHKmgzYGWIUFLNPaTJNpg8YBmeMIMB4HalKAxf/ZGQ8RShOocah94kIHyw7ljOmgLRBCB2HpoE3bnUImArTotzVOStrrMmHfiDb0UsvC7p+WCNCsgMwEZabHWtblLmdWQJYdnGVZnwlbk/k6UHOYn+iR5lrzOxNjoazCAaAFu9NuZlssRRWeqXXZXE4EaEBcQKC2m3xdBBM0BQhUdae1XfZN3Of7Ut8k9UzrGtLNn9t6ne7Es88+i1/96lf46KOP8MADD2Do0KH4zW9+g5EjR+KQQw7p1LGpmIAgCIIgiA6jqj7b+9NdePDBBzF58mTU1NTg1VdfRSmuYG5oaMBPfvKTTh+fFDWC6EEUi8Za5NwUFnAmwazWG6q/GvcC+Crh3GFaxtE5/pybb3u2DYqWiwbS6H2lSNigasY7GBJ2p+6pJmzVLdCXC6kUNQ8uj7YDkVTXQq2isVQxgbFEgSwVzdwjW2mzac+HUHowe7SWmk5QRV2LzpklbFBbLXMsdc1eV8UCTmxr2ooaZz4cdXmqaEDZoFyWq/dJA6rbncWS1RutmFLX4mM0Wn3SGk0bDm13NgW6gCAohfDVNILmQBcQFItWK46iUdcIoiu48cYbMWvWLEydOhX333+/Xv/Sl76EG2+8sdPHp0CNIHoYWflqUUpZ3IfMDRG4cfNbzkw1qGO2ddWnw0xPWscEaXboIdGGYC0OvKQUyX2FOicB5liBmpW7xuOgzLZDdaAmg6pBmwrEPC61JWrbmUFirTJoU3+rfcxam+5xBUnb01iY9mV2DlqW3ZnMV2NVg7OsQE1tO6xkAjUrF40zHyy0LM6wSp80IFH1WdXutIO25hJkkwrKAm1zipKxQMMmk4tmrE8fYZy7Vmo2jW0pL23zIkR2jmZr1+kuLFq0CIceemjFen19PdatW9fp45P1SRAEQRBEh1E5au396S4MHjwYH3zwQcX6c889h5133rnTxydFjSB6GHZhAedmULguLGgOElWfegoBoBU1R3XtB8yIKSepIqVVtfRawi9UipQQSRtUZeVLARbv4/AgUWTApWf2R0pFq7ZtqWtCSm2J2opZlspWrYAgS2VrL2kFrXphgdkGoh5otuLmWopaNRUtS1HT1Z2snFDXTNFAmJwqEFp2p1LPbEWtWKmoVdidzfG6paLJkumZplS2sCmArys9Az183W8OdNWnXUBQKlEBweakp08mOOecc3DRRRdh9uzZYIzh888/x/z583HJJZfgqquu6vTxKVAjiB5KsWgFAFxaY4oAzuN8r1T7CDuAAyJJ3i5wzJLoq9qgdmlkLt52zZqUUluizNoGd8Hj/ZgjTG5abIcKBAhZK4GatS0lh8O8+Py4GSFVJUctzAzUKtfaSzows/92EoFa9Rw1BgEnziljTLQaqKngzIEVqPGy3mZhWeefQQQmF81etwM1e3an3W6jFbtTWjloYkPZskEr23D4G8uJqk8VkDU1UV7almJzVn3+4he/wC233ILly5dj3LhxuOOOO3DggQdW3f+BBx7AVVddhY8//hijRo3CT3/6Uxx77LH68muvvRb3338/li5dilwuh/Hjx2PGjBmYMGFCm8/psssugxACRxxxBJqamnDooYcin8/jkksuwYUXXtih+2lD1idBEARBEFs9f/jDHzB9+nRcc801ePXVVzFu3DhMnjwZK1euzNz/+eefx6mnnopp06bhtddew5QpUzBlypREU9rddtsNd955J958800899xz2GmnnXDUUUdh1apVbT4vxhiuuOIKrFmzBgsXLsQLL7yAVatW4YYbbuj0fQYAJmU30h8JogOsX78e9fX1+DV2QS2ypoN3X1SRZm0NUFsbbdfUMNT1irYLBQavLlKbcnU55OJtt9bVa7w2WuN1HliveLvWA4vXWa0LVpOPD5gHcnGD2nweyHnqhqLfOQ/w4uHrXh5w423HA3Ncva3X3ZwuDZWxlRmKPEKpbE0PIcy20IUHHqSM7VvpIpRGUVPr9lp7igmy/m6J7KrP1osJVBmHw3yweCB9pKgZO1Otp1U0BylFjQV6yDoTARCrkwjKRiULfcgw0Nt63S8BvqWkAXE2v9XM1srsz7I7RZMP2RhvbzTqWnljdL2gKUB5o1nz4+1iUWJjY3To5maJpqZou6m5ezVUbQ9NCHEOPkRDQwP69OnTpbel/nf+/Om3UFPXu13Xbd64Ad8/fI92neeECRNwwAEH4M477wQACCEwbNgwXHjhhbjssssq9j/llFPQ2NiIv/zlL3rtoIMOwj777INZs2a1eJ/+9re/4YgjjmjTeS1ZsgTDhg3LnEKwZMkSDB8+vE3HqQZZnwTRg1EfZlG+WrRt26BAsm0HS+ehcQ57ql3GaM7k/lYLcwkYa9M+ISsvTQcMTgCpgjMrXw0iABw1mSDa13WEbngrZKCrQtOWqAnIXDgox/u7el2tSckh43sjJYeIg3l7Pbpux/LUsgKy6DGJHxtmmvoyJhLrAMARmm0WgMX7Olaglg7OnJT1yWFsTYSBqegMw8jmBKLL7fYb2uY0EwZUQBYFZ5WzO2XJz7Q7ZaMPsdEEbba1CahctMo2HE3NKbsztkF7apC2peiM9bl+/frEej6fRz6fr9i/XC5jwYIFuPzyy/Ua5xyTJk3C/PnzM29j/vz5mD59emJt8uTJeOSRRzL3L5fLuOuuu1BfX49x48a1+b6MHDkSy5Ytw8CBAxPrX3zxBUaOHIkwDNt8rCzI+iQIgiAIosN0puHtsGHDUF9fr39uuummzNtYvXo1wjDEoEGDEuuDBg3C8uXLM6+zfPnyNu3/l7/8BXV1dSgUCrjtttswd+5cDBgwoM33X0qZqaZt3LgRBeUWdAJS1IhtmhkzZuDRRx/F66+/jlwut0l61vREgsCoEZwDjJlt1V+N8ZbL52xljVnfrlkowUM1IFOm1LPon5hU46GENHKIkMkiA2mUNmXBMTcXVSMCgBufQRiAxzYpd4KEuubC2JrKBnXAIZTNKbm2TWWGcpZW1BS2ZZpGZNjpSiFLY1uY9lpLihpDqBWyqIBAqWTJYgJ1Pc78SEEDTJVmGETqJBApZ/G2DMopG9QqILBVNG1zmgKCRDFBc6y02c1sSwHEhni9KUg0tPVjy1NXdG4sa3Ut3S+taNUpUIXnliGsMuu2tesAwNKlSxPWZ5aa1tV85Stfweuvv47Vq1fj17/+Nf7f//t/ePHFFysUsjRKrWOM4aqrrkKtyh8BEIYhXnzxRT2svTNQoEZs05TLZZx88sk4+OCDcffdd2/p09mmUWlEUXBm2nYYQrT23VAFa3Y1KA+l2QagyiZZreVPKTtUCLAgZ9ZU0JYTJpAQYZSnhrgyVFWoqssdDxDxvzY7aONlnceWtj5FHLhIxuFA5a6Z4E3qNa4DOHUZgIQFaq+3BRVwJdYgEuvKzuRZ1ifzwWECPDvvzN5HPz5hGAVmgHlMw8C02whTOWp2yw0VCZX9ZN5ZOkfNbsnR5OvZnSKdl2ZVdyq7099YTgRoQFzd2RidU1NzdhsOdTrE5qcz1mefPn3alKM2YMAAOI6DFStWJNZXrFiBwYMHZ15n8ODBbdq/V69e2HXXXbHrrrvioIMOwqhRo3D33XcnbNYsXnvtNQDR/6E333wTuTj/FgByuRzGjRuHSy65pNX71hoUqBHbNNdddx0A4J577tmyJ0IQBEF0Gap1xrx58zBlyhQAUTHBvHnzcMEFF2Re5+CDD8a8efNw8cUX67W5c+fi4IMPbvG2hBB6XmdLPPXUUwCAM888Ez/72c+6rHiDAjWix1EqlRJvwnQya08n2X/KdD6Lig0iVaOasqYszBxShQWxiiaE0LYoExJcKWZBrOAIAam+mUsBptaDQFeLIicAx1KE4iIDqVSgMIgsUSBS25S6xl1dcOCwMqDUNeZCWoUD2vpklcUEwrI408paWlUDIgWuJXhKTUurZdGaVSyA1q1Prb7BsjOlTKpooaVOImVxisBqbOubfW0VrewnVbT0vKZy2VicRauZbWNgjYUKEtWdduGAraQBQLExTNidzc2mmID6pW15ZAcUNdmBPmrTp0/H6aefjv333x8HHnggbr/9djQ2NuLMM88EAEydOhVDhw7VeW4XXXQRDjvsMNx666047rjjcP/99+OVV17BXXfdBQBobGzEjBkzcMIJJ2DIkCFYvXo1fvGLX+Czzz7DySef3ObzmjNnDtatW4dbb70V77zzDgBgjz32wFlnnYX6+vp23880FKgRPY6bbrpJK3FENpXBGpBsXdtywAYAXhycOaGAiLdt6xOh1OusVgVvwthromDlrlnrQc609QgDk6OmBpe6ORO0cce09eD2cFMXULlcjmsl5blwuMlHAyIL1LY+1cMg4RiLkyXtT9GOOi1u56OlctOiNZPPZlufuiktM0PqIQIz5SEMTF6fsB4nEZg2G1nBWWICQZC0M+PAWfplZLfiMBMFlN0ZWZ9xM+ImXwdtYZNVydkUZOajKbuzWIJuvdHcLNHUbG6a2PJsrskEp5xyClatWoWrr74ay5cvxz777IPHH39cFwwsWbIEnJv33sSJE3HffffhyiuvxI9//GOMGjUKjzzyCPbcc08AgOM4ePfdd3Hvvfdi9erV6N+/Pw444AA8++yz2GOPPdp8Xq+88gomT56Mmpoa3Xx35syZmDFjBp544gnst99+7b6vNhSoEVsdl112GX7605+2uM8777yDMWPGdOj4l19+eaJke/369Rg2bFiHjkUQBNHT2ZyTCS644IKqVufTTz9dsXbyySdXVccKhQIeeuihDp2HzQ9+8AOccMIJ+PWvfw03nsUXBAHOPvtsXHzxxXjmmWc6dXwK1Iitjh/+8Ic444wzWtynM4Nuq/XpISqxx0ylBkDFJAsMpLY4pd72hIRjOsOCibgRrpDgal1VhfrCFBkIEalnAGQu1CoaC0KjruVygGttA5EiZClnUitqDhBvM+7qRrkIubZBwXytwDHdZLYMsFhl49WtT/ModazrUZaaFq3///buPziKs/4D+Ht37y6XFojWhFAKBQo4jJZC5Ufa6FSYZgBFRv5BYEYLDKIylBqD7QDTEuwUUaFTWkCoTAs4WqmOglpbLDD2xyiWaZGvA4oDLRgGTKAgwQbux+7zfP+4291n7zaQW3K5TfJ+zTBsntu7217b5J3P53medVufmlRWvzr7zSltTakuunD3oZO57c68xQSWe6xUzjwrOq2c6praBrVbm3YVLWm5e6QlLM8CAstucV51bwtl5lTX1EoakKmm2e1O3h4qfDLrfgoNakW6mBJ49913PSENACKRCB577DGMHz/+pl+fQY1Cp6qqClVVVaW+DCIi6gBLSme7jUKe01P069cPTU1NeV2eM2fOoG/fwu7Y4IdBjbq1pqYmXLp0CU1NTbAsC0eOHAEAjBgxAn369CntxfUQ9nygDO98tcxvxZnqR5lSRZM5vy7bc9GiloRmz0tLG+5WHelMdUoT0l1sUGZ5FxM41bWoUxHSTAuIZCtb9rkRA7B/s43E3EqRHnG3oFAqaprhzleDprvVOE13/84ea7oOzRlXqovKObmkz7gzpyzv5JxqGZCpmKnjyn5yzt/2/DOl4ubZZkOYyv50ynw1dS6aWkVT56L5bcmRSrvz0ZKWZz4akKmi+VXU0ldNWEnlbgP2fmlXTZjX3H3ScuegXbsmnWPvf49EpTd79mwsXLgQ69evR21tLQDgz3/+Mx599FHMnTv3pl+fQY26tVWrVmHnzp3O1/feey+AzLLpSZMmleiqeqar19RbI+UvMBBCIG7vuaWQlkRU2AHOPdZF1F1MkM6uwLQkkM4GipThHGtxJUgoK0ClaUKz7w2qBjW7DRox3dBmRJzWJ5RVn9KIuCFLNzKtUEAJZEoI0zT3Xlu54cwvqOl6XrPYI7f/owY4NYipbc6coCbVx4XlPq5uYqu2Ry1TWZiRH85gmu6KTtPyhDPnFlEJy9PmVPdJyzxuQibdBQT2HmlW0nRvD3VN3Tst7dwWKpH0BjSAqzvDTt3ysJDn9BTr16+Hpml46KGHYGb/34pGo1i8eDF+8IMf3PTrM6hRt7Zjxw7uoUZEVEJduZggjGKxGJ599lmsXbsW77//PgBg+PDhnjsV3AwGNSLqsPyqhoQQahvU/uabdvZJkpZ0jiNp4bRFo5aEnm152osKhCWg2VW0tKEcR6DFs8emUhGKRDILDQC3BRqJuC1TTxs04p6j6251LWd7DrtiJj0VNc091pWK240qaj73//PInafjU1HzVMykcJ/jV3HL3Z7DWTQgvBXJnIqap8WpVtGU7Tlk0nS22chUzOzqmbe6BmSqaCJ7bvpa2tluw0xaMO026DXT3YYj4d1yw77ROrfh6B56a1ATQmDdunX43e9+h1QqhQcffBCNjY0oLy/v1PdhUCOigqk/OO1vuFLCDW1SIi7s1YISlpkJEqI86p5vSRjZlmckG8j0W6LecOYcC3ceW1pAK8ve+zJqeEKb/beMuWPOPmpqaNN15XzDbWd62qBKu1MNbWqQ8wQ1n1DWzrw1R+5cNTW4+bY+1Tlq9kpaZcxS5qKpq2M9+9BZ7j5q6vwzUxmzw1nacsKXTChBLS+0uQENAMyE5ZmL5m5mm4blBDjTs6rTDmeJBDyb21L4SRS+j5pE9w9qa9aswerVq1FXV4fy8nI8++yzOH/+PF588cVOfZ9g68iJiIiI4FbUCv3T3f30pz/Fj3/8Y/zxj3/Enj178Pvf/x4///nPITp5Ah4rakQUWCKhdN2UvZSE0Nz7qZsmykx7JaJ0Wp8iLRAtzx6bmWqZ2g5Vq2h6SgDZY6QFZCLbfoxHoEWzK0DLlBan3bqLxSB9KmeakdMG9VTalHH7b78FBHo71bTcKppfVc1v1aen7an8EMtd6al+4Pbfyi24vFW0bNWrvUpbKpU3JpMmZLaSKROms6BDraiJpLe6prY5AcBKWM4ead4FBCaS1zKvl0q7dxtIJt1VnYkkb7BO3UNTUxO++MUvOl/X1dVB0zScO3cOgwYN6rT3YVAjopti/1AVngzhzl2Lx+H8hhm30jnz1bK3mTLd8BZJR53H7dAm1NZnwoIWV0JbNBu+7DZp1ISWHUMq7Zm7ZgcymTNfzb3NlO7u8KuGN09oU0KZ7hPa9ICNCvW38NxldELmjzvBy/Q8Lm84Ly1nBS0AmRY3DGe5bVCRPTYTFkx7s9rsmKXMRcvMS3PnoqltTb92p32Z1H1YQsIqsEJW6PlhZJom4nHvjfSi0SjS6fzV7zeDQY2IiIgC662LCaSUmD9/vudON4lEAt/61rdw6623OmM3e5sqBjUi6hSmCVy9QRtUSImYmfltM1YuYGUrN9FbMt+KRDoCkR2zkgait2Sqa3rSgl6WrajFI77VNbvyo8WNzCIDAFrUAuyKW9TwX0AQiUA6x0ZelUwzIspYTjWtvUpaIVW13Epa7nFuZU0oG9raj6ttTU+lLb/dKdOWWzFz/raczw/KcXtVNJEWSNs3V09aSiXNvj2UCSs7lrpmee7fbrc4c9udPWlfrd6mq27KHjbz5s3LG/vqV7/a6e/DoEZEncb+YatujiuEdDfCNzXYnQLTtBBPuy1PAIjeIiCyK0GNtHDGjbiBiDKuKXPUkMwc69k5ajKpO61PrSziHMuYAU3PJoao7oQ5RCJuAMudr4bM/T09Qc2n3alpevvhzG+8vVRihzCZE9jcpNvOHDU1tGU/eNPMhDIg0yK2x1OWG9CSbusTqey/i2RO69MJzhbM7PlWwvK0OdWAZo/ZG9im0t5wZrfK1Y1tqXvrrRW17du3d8n7MKgRERFRYL01qHUVBjUiKgq7WmKaQNwp+EiYprvIwMzeQiqerQgJU8DI7pEWLY9AmNkqmimc/beMuIFItnqmtkQtv9ZnwnIXFkQNt9IW1SEN+zjttkcNn4qZTzvUOVarbqqgrU91zLf1mdPmzBmTyi24ZFoAlntsV8aQVipq7bQ+1RanWkWz98OzkhashLtPmt3mTCczj6srNxMJIJ3mogGioBjUiKioTBP4SNn0Pl6W+aFtWXBCm/1DO24KxJR2qJENAJEyA0bcP7TpiUwoi2TnqmlJXZmjpkPLBjkYuieowT7H0NygpmtAzHCPAcDQnNaob5DLO87Z+LajrU8h/R/PDWL2eZZ7/1SkLPc4rYY2e66ZEtQs4c47U4Na9thMWBDZENheODOTlhPOzKTlaWcCmZBmr+hMpbiBbU/HilpxMagRERFRYMKSEFaBQa3A83szBjUi6jKJhFo9A0wz881arazFsvP9YykLMXvCepnhW13TkxYiduvTXlQQNZwxPao7Cw/U1icMzVN1g6G5x7rSBgUyFTL7cV0DDOU11OqZ4XMLqdzqWq7cqoLyw0uqlTO7hSmke45yKy6n4pYWbqUtLdzFBJb0bX3aizXMpAWRVtud2WNT3LCKlkq7bU7779xFA2xz9nDCvYdvIc+hjmFQIyIiosCEDND67AHbc3QVBjUi6lJ2deUjpXpmV9bSaSCVylShYjEgni0IRdqprhlRHZa9sCBbLYuUGUp1TYeevQOBEdWdc7yLCdy7DWSqa8p8NQCI6c6xNLz7qGmer29QXWuP2gJSfthJp3ImPOe622yoVTaloibcipo67uxPlxbOHDShVNZMZQGBvd2GlRa+VTTTcuebpVLuYgG1isbbQPUenKNWXAxqRFQyzg/+bHiLpYFYNH+xQSwGZ9NUtSUaKTOgZ4/tEGaVGdCzbU09osOIKqHNPo4Y0LNhSo8qiwyU1qbTJm2v9YmcBQeqoEFNGZPqD7LrtT7VQCakp61pzwMSpuUJZfZGw8K5dZflCWpqS1Rtcaq3CFVXctr/btTbiRFR52BQIyIiosBYUSsuBjUiKjm7AqMuNjBNIBZzW6LRaKZKlYp4FxxEItnqWiTzeKailql6qe1OPWpAj+SPa7rmVOA0XfNU2uyx9ipqnm07csYK/xBy2p43qKjZFTe1ciaFdBYFZI7VdqdbPVPH7ddwWpymdCtnaW/VU21x+lXaqHcSVuGrOIVVpIvpgRjUiChU1KDmtjuBSCTzgyAW885jc27faT+eMp0xI6o74UyPetugmu7TEtXdlZxOUDM051w1yNlf2+eotALCmvSpLMic1qcaxKS6pxoyIcsJbUo4y4z7tDuV0GaPqZ+1afq3OFMpeAIcwxnZWFErLgY1IiIiCizzC0RhwavQ83szBjUiCi21umZv8K8uOEgmM1U1ADAMvyqbQMQQ2WO4FbWIu2JTj+rQlSqalrOPmudc3VtN03yqa+pzO0L67Z2mjHsqa0K6lTTTrayplTOhtETVc9XqmX33KU/1MtvKtCzpaXeqCwW4SID8CCEgCvyPo9DzezMGNSLqFtR5bHaQiEQybdHMsRve7PlskYga2jLBDQB0TSjjmm8oU9uadkBTw5mWsz2HX7vzRi3Q3KqCf1ATntBmBzF1TA1k9rE610xIbyhTj4FMe9Ov5WyaDGdEpcagRkRERIFxjlpxMagRUbdjV3nU1Yeeypkh3WNl3G6PquO6Lp1qnFppc++9rnmqbH4LCIK2PVXXa4HaX3uqZ84CAvhWztRx08y0NO3j3IqaaeWPEXWUEAHu9cmg1mEMakTUI/gFDU9QM9z2aCTiBjHD0Jxjddwdk9B1O8i5r627twX1nJ857nhYE545aMg79oy5t/X0BDJ1zD62LOkZZyijYpEBKmpcTNBxDGpEREQUGFufxcWgRkQ9llpJAuCpnGVvAZptfbqP57Y+NU3zVNlyK27+x9L3MZvfBH2/app9rFbX7GMpfVqfucfK6k4uCqBi4fYcxcWgRkS9hmdumzLu2/rU7Mdku0GtvbCmaQVszyFv3Pps7xjIb4cykBH1LAxqREREFBhbn8XFoEZEvZ5aafNzoypa7iIDtfVZ6DUA3iqZ+phaUSMKC2EFWPVZ4Pm9GYMaEdEN+K3AJKIM3pmguBjUiIiIKDC2PouLQY2IiIgCEzJAUJMMah3ls3CciIiIiMKAFTUiIiIKjK3P4mJQIyIiosCkJT33qu3oc6hjGNSIiIgoMCkKr5BJLvrsMAY1IiIiCoytz+JiUCMiIqLApBCQBe6LVuj5vRlXfRIRERGFFCtqREREFBgXExQXgxoREREFJoWELHgxAYNaRzGoERERUWBSBKioMah1GIMaERERBcaKWnExqBEREVFwlsj8KfQ51CFc9UlEREQUUqyoERERUWBsfRYXgxoREREFxu05iotBjYiIiAJjRa24GNSIiIgoOCEyfwp9DnUIgxoREREFxn3UiourPomIiIhCihU1IiIiCoxz1IqLQY2IiIgCk5aE1Lnqs1gY1IiIiCgwVtSKi0GNiIiIgrMkoBd6CykGtY5iUCMiIqLAWFErLq76JCIiIgopVtSIiIgoMC4mKC4GNSIiIgqMrc/iYlAjIiKi4ALcmQAMah3GoEZERETB8V6fRcXFBEREREQhxYoaERERBSYtCalxMUGxMKgRERFRYFxMUFwMakRERBQYK2rFxTlq1G2dPn0aCxcuxLBhw1BeXo7hw4ejsbERqVSq1JdGRNR72IsJCv0TwObNmzF06FDE43HU1NTg0KFD1z3/V7/6FUaNGoV4PI7Ro0fj1Vdf9TwupcSqVatw++23o7y8HHV1dThx4kSgaysWBjXqto4fPw4hBJ5//nkcO3YMzzzzDLZu3YqVK1eW+tKIiHoNaclAfwr18ssvo6GhAY2NjTh8+DDGjBmDqVOn4vz5877n/+Uvf8HcuXOxcOFC/O1vf8PMmTMxc+ZMHD161DnnRz/6EZ577jls3boV77zzDm699VZMnToViUQi8OfR2TQpJeuP1GOsW7cOW7ZswQcffNDh51y5cgUVFRXYhuG4BUYRr46IqLiuwsIivI/W1lb069evqO9lf+8cM/5pGJHygp5rmdfwf+8uK+g6a2pqMGHCBGzatAkAIITA4MGDsXTpUixfvjzv/NmzZ6OtrQ2vvPKKM3bfffdh7Nix2Lp1K6SUGDhwIJYtW4bvfve7AIDW1lZUV1djx44dmDNnTkH/TMXCOWrUo7S2tuK222677jnJZBLJZNLzHAC4Bu7rQ0Tdm/19rCtrMKZ5reD3s6xMxerKlSue8bKyMpSVleWdn0ql8N5772HFihXOmK7rqKurw8GDB33f4+DBg2hoaPCMTZ06FXv27AEAnDp1Cs3Nzairq3Mer6ioQE1NDQ4ePMigRtTZTp48iY0bN2L9+vXXPW/t2rX43ve+lzf+CE4V69KIiLrUxYsXUVFRUdT3iMViGDBgAI4deTzQ8/v06YPBgwd7xhobG7F69eq8cz/88ENYloXq6mrPeHV1NY4fP+77+s3Nzb7nNzc3O4/bY+2dEwYMahQ6y5cvxw9/+MPrnvPPf/4To0aNcr4+e/Yspk2bhlmzZmHRokXXfe6KFSs8v2VdvnwZQ4YMQVNTU9G/sfUUV65cweDBg3HmzJmit1d6Cn5mheNnVrjW1lbceeedN+wsdIZ4PI5Tp04FXsAlpYSmaZ4xv2pab8egRqGzbNkyzJ8//7rn3HXXXc7xuXPnMHnyZNTW1uInP/nJDV+/vdJ6RUUFfxgUqF+/fvzMCsTPrHD8zAqn612zVjAejyMejxf9fSorK2EYBlpaWjzjLS0tGDBggO9zBgwYcN3z7b9bWlpw++23e84ZO3ZsJ179zeGqTwqdqqoqjBo16rp/YrEYgEwlbdKkSRg3bhy2b9/eZd+ciIio68RiMYwbNw4HDhxwxoQQOHDgAO6//37f59x///2e8wFg3759zvnDhg3DgAEDPOdcuXIF77zzTruvWQqsqFG3ZYe0IUOGYP369bhw4YLzWHu/YRERUffU0NCAefPmYfz48Zg4cSI2bNiAtrY2LFiwAADw0EMP4Y477sDatWsBAN/+9rfx+c9/Hk8//TSmT5+OXbt24d1333U6L5qmob6+Hk899RRGjhyJYcOG4YknnsDAgQMxc+bMUv1j5mFQo25r3759OHnyJE6ePIlBgwZ5HitkBVJZWRkaGxs5N6IA/MwKx8+scPzMCteTP7PZs2fjwoULWLVqFZqbmzF27Fjs3bvXWQzQ1NTk6arU1tbipZdewuOPP46VK1di5MiR2LNnD+6++27nnMceewxtbW34xje+gcuXL+Nzn/sc9u7d2yXt3I7iPmpEREREIcUJPUREREQhxaBGREREFFIMakREREQhxaBGREREFFIMakRZp0+fxsKFCzFs2DCUl5dj+PDhaGxsDLzrdm+xZs0a1NbW4pZbbsHHPvaxUl9OKG3evBlDhw5FPB5HTU0NDh06VOpLCrW33noLM2bMwMCBA6FpmnNvRvK3du1aTJgwAX379kX//v0xc+ZM/Otf/yr1ZVEnYVAjyjp+/DiEEHj++edx7NgxPPPMM9i6dStWrlxZ6ksLtVQqhVmzZmHx4sWlvpRQevnll9HQ0IDGxkYcPnwYY8aMwdSpU3H+/PlSX1potbW1YcyYMdi8eXOpL6VbePPNN7FkyRL89a9/xb59+5BOpzFlyhS0tbWV+tKoE3B7DqLrWLduHbZs2YIPPvig1JcSejt27EB9fT0uX75c6ksJlZqaGkyYMAGbNm0CkNlNffDgwVi6dCmWL19e4qsLP03TsHv37lBtQBp2Fy5cQP/+/fHmm2/igQceKPXl0E1iRY3oOlpbW7vk5sbUM6VSKbz33nuoq6tzxnRdR11dHQ4ePFjCK6OerLW1FQD4vauHYFAjasfJkyexceNGfPOb3yz1pVA39eGHH8KyLGfndFt1dTWam5tLdFXUkwkhUF9fj89+9rOeHfip+2JQox5v+fLl0DTtun+OHz/uec7Zs2cxbdo0zJo1C4sWLSrRlZdOkM+MiEpvyZIlOHr0KHbt2lXqS6FOwnt9Uo+3bNkyzJ8//7rn3HXXXc7xuXPnMHnyZNTW1jo37+1tCv3MyF9lZSUMw0BLS4tnvKWlBQMGDCjRVVFP9fDDD+OVV17BW2+9lXf/Y+q+GNSox6uqqkJVVVWHzj179iwmT56McePGYfv27Z4b/PYmhXxm1L5YLIZx48bhwIEDzmR4IQQOHDiAhx9+uLQXRz2GlBJLly7F7t278cYbb2DYsGGlviTqRAxqRFlnz57FpEmTMGTIEKxfvx4XLlxwHmP1o31NTU24dOkSmpqaYFkWjhw5AgAYMWIE+vTpU9qLC4GGhgbMmzcP48ePx8SJE7Fhwwa0tbVhwYIFpb600Proo49w8uRJ5+tTp07hyJEjuO2223DnnXeW8MrCacmSJXjppZfw29/+Fn379nXmP1ZUVKC8vLzEV0c3i9tzEGXt2LGj3R+e/N+kffPnz8fOnTvzxv/0pz9h0qRJXX9BIbRp0yasW7cOzc3NGDt2LJ577jnU1NSU+rJC64033sDkyZPzxufNm4cdO3Z0/QWFnKZpvuPbt2+/4RQGCj8GNSIiIqKQ6p0TcIiIiIi6AQY1IiIiopBiUCMiIiIKKQY1IiIiopBiUCMiIiIKKQY1IiIiopBiUCMiIiIKKQY1IiIiopBiUCMiIiIKKQY1IiIiopBiUCMi6gQXL15E//79cfr06aK/15w5c/D0008X/X2IqPR4r08iok7Q0NCA//3vf9i2bVvR3+vo0aN44IEHcOrUKVRUVBT9/YiodFhRIyK6SVevXsULL7yAhQsXdsn73X333Rg+fDh+9rOfdcn7EVHpMKgREeX4xS9+gfLycvznP/9xxhYsWIB77rkHra2teee/+uqrKCsrw3333ecZHzp0KDZs2OAZGzt2LFavXu18PWnSJCxduhT19fX4+Mc/jurqamzbtg1tbW1YsGAB+vbtixEjRuC1117zvM6MGTOwa9eum/+HJaJQY1AjIsoxZ84cfPKTn8T3v/99AEBjYyP279+P1157zbfV+Pbbb2PcuHGB32/nzp2orKzEoUOHsHTpUixevBizZs1CbW0tDh8+jClTpuBrX/sarl696jxn4sSJOHToEJLJZOD3JaLwY1AjIsqhaRrWrFmDbdu2Yc2aNdi4cSP27t2LO+64w/f8f//73xg4cGDg9xszZgwef/xxjBw5EitWrEA8HkdlZSUWLVqEkSNHYtWqVbh48SL+/ve/O88ZOHAgUqkUmpubA78vEYVfpNQXQEQURl/60pfwqU99Ck8++SRef/11fPrTn2733GvXriEejwd+r3vuucc5NgwDn/jEJzB69GhnrLq6GgBw/vx5Z6y8vBwAPFU2Iup5WFEjIvKxd+9eHD9+HJZlOUGpPZWVlfjvf//bode1LCtvLBqNer7WNM0zpmkaAEAI4YxdunQJAFBVVdWh9yWi7olBjYgox+HDh/GVr3wFL7zwAh588EE88cQT1z3/3nvvxT/+8Q/fx1paWpzjdDqNM2fOdMo1Hj16FIMGDUJlZWWnvB4RhRODGhGR4vTp05g+fTpWrlyJuXPn4sknn8Svf/1rHD58uN3nTJ06FceOHfOtqr344ovYv38/Tpw4ge985ztobW3F+++/7wlwQbz99tuYMmXKTb0GEYUfgxoRUdalS5cwbdo0fPnLX8by5csBADU1NfjCF76AlStXtvu80aNH4zOf+Qx++ctf5j02Y8YMPPLIIxg9ejQuXbqEp556Cr/5zW+wf//+wNeZSCSwZ88eLFq0KPBrEFH3wDsTEBF1gj/84Q949NFHcfToUeh65nfgoUOHor6+HvX19Z36Xlu2bMHu3bvx+uuvd+rrElH4cNUnEVEnmD59Ok6cOIGzZ89i8ODBRX2vaDSKjRs3FvU9iCgcGNSIiDpJZ1fO2vP1r3+9S96HiEqPrU8iIiKikOJiAiIiIqKQYlAjIiIiCikGNSIiIqKQYlAjIiIiCikGNSIiIqKQYlAjIiIiCikGNSIiIqKQYlAjIiIiCikGNSIiIqKQYlAjIiIiCqn/B/Q/NZP+NQQ4AAAAAElFTkSuQmCC", + "image/png": 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", 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" ] @@ -101,24 +111,31 @@ "# Minimization with `L-BFGS-B`" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "`quantum_electron` uses the scipy minimization routine with method `L-BFGS-B`. This is a very stable routine, but is not necessarily physical. To prevent getting stuck in local minima of the energy landscape, `trap_annealing_steps` can be set. More on this later." + ] + }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 5, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", 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" ] @@ -149,20 +166,9 @@ "cell_type": "code", "execution_count": 6, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ - "anim = fm.animate_convergence(frame_interval_ms=30)" + "anim = fm.animate_convergence(fig, ax, frame_interval_ms=30)" ] }, { @@ -174,7 +180,7 @@ "data": { "text/html": [ "" @@ -3679,6 +3646,13 @@ "fm.show_animation(anim)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Note how the electron positions jitter several times after they are released from their initial positions. This jittering is part of the annealing process, which tries to avoid getting stuck in local minima. In this case we provided 20 annealing steps with an effective temperature of 1 kelvin using the argument `trap_annealing_steps=[1.0]*20`. You can provide an arbitrary list of temperatures to taylor this process to your needs. " + ] + }, { "attachments": {}, "cell_type": "markdown", @@ -3687,14 +3661,21 @@ "# Physical gradient descent" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The previous process tries to find the fastest way to the minimum energy configuration and, as such, it does not necessarily obey physics. Here we remedy this by explicitly writing the forces on each electron. To avoid any persistent oscillations, we must now add a damping `gamma` to the equations. Otherwise the system will never converge to the equilibrium positions. " + ] + }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 9, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -3705,8 +3686,8 @@ ], "source": [ "n_timesteps = 5000\n", - "dt = 1e-13\n", - "gamma = -0.01 * me / dt\n", + "dt = 1e-13 \n", + "gamma = -0.01 * me / dt # This is the damping parameter. \n", "\n", "r = np.zeros((2 * n_electrons, n_timesteps+2))\n", "\n", @@ -3724,17 +3705,26 @@ "# plt.plot(init_x*1e6, init_y*1e6, 'ob')\n", "plt.plot(rx*1e6, ry*1e6, 'or')\n", "plt.plot(final_x*1e6, final_y*1e6, 'og')\n", + "plt.xlabel(f\"x ({chr(956)}m)\")\n", + "plt.ylabel(f\"y ({chr(956)}m)\")\n", "plt.gca().set_aspect('equal')" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The equilibrium positions are indeed similar up to a rotation factor. Let us now visualize the convergence of this more physical method!" + ] + }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -3744,9 +3734,6 @@ } ], "source": [ - "import matplotlib.animation as animation\n", - "from matplotlib import patheffects as pe\n", - "\n", "fig, ax = plt.subplots(1, 1, figsize=(4, 4))\n", "fm.plot_potential_energy(ax=ax, dxdy=(2, 2), print_voltages=False, plot_contours=False)\n", "\n", @@ -3766,16 +3753,23 @@ "anim = animation.FuncAnimation(fig=fig, func=update, frames=np.arange(2, n_timesteps+2, 25), interval=30, repeat=True)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The following animation shows a nicely damped oscillation. Try playing with the `gamma` parameter to transition from a damped system to underdamped system." + ] + }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" @@ -4842,15 +4800,19 @@ "# Sample from the Maxwell-Boltzmann distribution" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here, we may also try to mimic the situation where electrons are in thermal equilibrium with a thermal bath. We pretend the electrons have a velocity that is sampled from the Maxwell-Boltzmann distribution. " + ] + }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ - "import scipy\n", - "from scipy.constants import Boltzmann as kB\n", - "\n", "class MaxBoltz2D(scipy.stats.rv_continuous):\n", " def _pdf(self, v, T):\n", " sigma = np.sqrt(kB * T / me)\n", @@ -4861,12 +4823,12 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 15, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -4876,7 +4838,7 @@ } ], "source": [ - "T_eff = 0.25\n", + "T_eff = 0.25 # Effective temperature\n", "samples = sample_v.rvs(size=1000, T=T_eff)\n", "v = np.linspace(0, 4e4, 10000)\n", "\n", @@ -4890,19 +4852,19 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "|████████████████████████████████████████| 20000/20000 [100%] in 10.1s (1981.09/\n" + "|████████████████████████████████████████| 20000/20000 [100%] in 19.9s (1007.25/s) 8501/20000 [43%] in 8s (~11s, 1004.6/s) \n" ] }, { "data": { - "image/png": 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", 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b7TiYAAEF2gJOBYgHUfT2BIMNc/CV1dZ66xENgUFIFAbfVAAAAWHIqQBxZrcH9gQHkiSgs9Nbj2gIDEKiMHEqQJJwyrwPK7ceqRYHyxBFwFRsQuXESk4FSKQ8mfdh5dYj1WIQEkUoZlMBSB6j0Ts61OEIfp9QELzPG3m/lobGS6NEpEwajXeKBOANvYF8j61WziekYTEIiUi5TCagoQHI979fC73eW855hCQDL40SkbKZTEBlJVeWoYgxCIlI+TQaoLQ00a0gheKlUSIiUjUGIRERqRqDkIiIVI1BSEREqsYgJCIiVVNcEK5fvx7jx49HZmYmpk+fDvsQC+rabDZ89atfxeWXXw6tVouSkhL86U9/imNriYgo2SkqCDdv3oza2lo8+OCDOHToEIxGI2655RZ0dHQErf/mm2/iq1/9KrZv346DBw+irKwM//Ef/4FDhw7FueVERJSsBEkKtkhfcpo1axZuuOEGPP300/1lxcXFuO2227Bu3TpZP+Oaa67BggUL8MMf/jDo8319fejr6+t/7Ha7UVBQAJfLBa1WO7ITICKiuHG73dDpdMO+fyumR3ju3DkcPHgQ5eXlfuXl5eXYu3evrJ/h8XjQ29uLyy67LGSddevWQafT9X8VFBSMqN1ERJTcFBOEp0+fhiiKyM3N9SvPzc1Fd3e3rJ/x85//HP/4xz9QVVUVss6aNWvgcrn6vzo7O0fUbogi0NQE1Nd7v3O3bCKipKK4JdaEQavMS5IUUBZMfX091q5di9/+9rfIyckJWS8jIwMZGRkjbicAwGYDLBb/XbT1eu+K+VwMmIjI2zlI8DqxiukRZmdnQ6PRBPT+enp6AnqJg23evBn33nsvtmzZgptvvjmWzfyMzQaYzRAdXWgyAPVTgCYDIJ7oAsxm7/NERGpmswEGA1BWBlRXe78bDHF/f1RMEI4ePRrTp0/Hzp07/cp37tyJG2+8MeRx9fX1uPvuu7Fp0ybMnTs31s30EkXAYoFtkgRDLVB2N1Bt9n43WADbJAmoreVlUiJSr4udBb8rZoB3o+U4dxYUE4QAsHLlSrzwwgt46aWX0NraihUrVqCjowPLli0D4L2/t2jRov769fX1WLRoEX7+859j9uzZ6O7uRnd3N1wuV2wbarfDltUFcxXQNWigkkMLmKsA25hO7+UAIiK1udhZQLBJC76yOHYWFBWECxYsgNVqxSOPPIJp06bhzTffxPbt21FUVAQAcDqdfnMKn332WVy4cAHf/va3kZeX1/9lsVhi2k7xhAOWCkACgEG3L6WLj2srvPWIiFTHbg/sCQ4kSUBn/DoLihssc9999+G+++4L+twrr7zi97ipqSn2DQrC/rlT6NKFfl4SgE6dt15p3FpFRJQknM7o1hshRfUIlcI5/vKo1iMiSil5edGtN0IMwhjI0+VHtR4RUUoxGr1TyUJNfRMEoKDAWy8OGIQxYCw0Qq/VD7492E8AUKAtgLEwPr9kIqKkotF451MDgWHoe2y1xm0+IYMwBjRpGtRV1AEQIAyKQ+9jAdYKKzRp8Z00SkSUNEwmoKEByB90ZUyv95bHcdERRS26nQhyF20NxtZqg6XRgi73Z6OjCrQFsFZYYSrmyjJERMFWlhEFwN5hh7PXibysPBgLjRF1HOS+fzMIhzGSIAQA0SNG5RdKRKQGwToQeq0edRV1YXcgGIRRMtIgJCIieWytNpi3mCHBP5Z8t5gaqhrCCsOU24aJiIhSl+gRYWm0BIQggP6y2sZaiJ7orzbDICQiooSzd9j9LocOJkFCp7sT9o7orzbDICQiooRz9spbRUZuvXAwCImIKOHysuStIiO3XjgYhERElHCfLUQSfCkSAULMFiJhEBIRUcJ9thAJQixEgpgtRMIgJCKipGAqNqGhqgH5Wv/VZvRafdhTJ8LBeYTD4DxCIqL4itZCJHLfvxW3HyEREaU2TZoGpYbSuL0eL40SEZGqsUdIRDRCXFNY2RiEREQjEM1FoikxeGmUiChCvkWiBy8N5nA7YN5ihq3VlqCWUTgYhEREEUjkItEUXQxCIqIIJHKRaIouBiERUQQSuUg0RReDkIgoAolcJJqii0FIRBSBRC4STdHFICQiikAiF4mm6GIQEhFFKFGLRFN0cdHtYXDRbSIaDleWSU5cdJuIKE7ivUg0RVfYQdje3g673Y729nb885//xOWXX47rr78eJSUlyMzMjEUbiYiIYkZ2EG7atAm/+MUvsH//fuTk5CA/Px+XXHIJ/v73v+Po0aPIzMzEXXfdhVWrVqGoqCiWbSYiIooaWUF4ww03IC0tDXfffTe2bNmCwsJCv+f7+vrQ3NyMX//615gxYwbWr1+PO+64IyYNJiIiiiZZg2X+8Ic/YO7cubJ+4OnTp9HW1oYvfvGLI25cMuBgmfjjwAMiioaoDpaRG4IAkJ2djezsbNn1iQYKe0sbUQTsdsDpBPLyAKMR0DA0iUi+iEeN9vT0oKenBx6Px6/82muvHXGjSJ18W9oMXs3ft6VNwLwsmw2wWICuAQsf6/VAXR1g4vwtIpIn7HmEBw8exOLFi9Ha2grfoYIgQJIkCIIAUUytLUd4aTQ+RI8IQ50h5Gr+AgTotXq0Wdq8l0ltNsBsBgb/8xUurvDR0MAwJFK5mM0jvOeeezBhwgS8+OKLyM3NhSAEX2ePKBzhbGlTWmD09gSDfYaTJG8Y1tYClZW8TEpEwwo7CNva2mCz2XDVVVfFoj2kUmFtaWO3+18OHUySgM5Ob73S0ug0kIhSVthrjX7lK1/B22+/HYu2kIqFtaWNU+b+bnLrEZGqhd0jfOGFF7B48WK89957mDJlCkaNGuX3/Pz586PWOFIP35Y2DrcjYLAM8Nk9QmOhEWiXueN3HveBk4Ujb0nlwg7CvXv3Ys+ePfjjH/8Y8FwqDpah+PBtaWPeYoYAwS8MA7a0MRq9o0MdjuD3CQXB+7yR+8ANiyNvR4YfIlJC2JdG77//ftTU1MDpdMLj8fh9MQRpJGRvaaPReN+ogc9Gifr4HlutfEMajm/k7eD7rQ6Ht9xmS0y7lMJmAwwGoKwMqK72fjcY+PemQGFPn8jKysLhw4fxhS98IVZtSiqcPhF/sleWCdabKSjwhiB7M0MTRe+bdqhBR75edVsbP1AEw+k7iiD3/TvsIFy8eDGMRiO++c1vjriRSsAgTHK8NBWZpiZvD2Y4u3Zx5O1g/BChGDGbRzhhwgSsWbMGe/bswdSpUwMGy9x///3ht5YoUhoN36jDJHpE2I/+H5xTgLxPAONxQBPq4zBH3gbi9J2UE9Go0TFjxmD37t3YvXu333OCIDAIiZKY31quZm+Z3gXUNQKm1iAHcORtIE7fSTlhD5Zpa2sL+XXs2LFYtNHP+vXrMX78eGRmZmL69Omw24ceSr97925Mnz4dmZmZuPLKK/HMM8/EvI1Eyci3luvgFXwcWsBcBdiKBxQKgvd+K0feBpL74YAfIhQj7CAMxel04vHHH4/Wjwtq8+bNqK2txYMPPohDhw7BaDTilltuQUdHR9D6bW1tuPXWW2E0GnHo0CH893//N+6//3689tprMW0nUbIRPSIsjZagczSli+M7aisAUQBH3g7HN30n1PKS/BChOGEPlvnGN74RtPz48ePYv38/ent7o9KwYGbNmoUbbrgBTz/9dH9ZcXExbrvtNqxbty6g/qpVq/D666+jtfWzaz7Lli3D22+/jebm5qCv0dfXh76+vv7HbrcbBQUFHCxDitbU3oSyV4cfHLPrFaBU5MjbYflGjQL+I0c5ajSpyB0sE3aP8MyZM35fp0+fxv79+9HU1ISf/exnI2r0UM6dO4eDBw+ivLzcr7y8vBx79+4Nekxzc3NA/Tlz5uDAgQM4f/580GPWrVsHnU7X/1VQUBCdEyBKINlruT72fe9oR76JD81k8oZdvv+cV+j1DEEFCnuwzNatW4OW/+hHP8K2bduwdOnSETcqmNOnT0MUReTm5vqV5+bmoru7O+gx3d3dQetfuHABp0+fRl6Qa/hr1qzBypUr+x/7eoRESiZ7LdeZX+HlULlMJu8OJ5y+o3gRb8w72J133olHH300Wj8upMHbPvn2QQynfrByn4yMDGRkZIywlUTJJay1XEk+Tt9JCVEbLPP222/j+uuvj9aPC5CdnQ2NRhPQ++vp6Qno9flcccUVQeunp6dj7NixMWsrUbLxreUKfLZ2q0/AWq5EKhN2j3DgZUOf7u5uvP7665g7d67f80888cTIWjfA6NGjMX36dOzcuRO33357f/nOnTtRWVkZ9JiSkhL87ne/8yvbsWMHZsyYEbAQAFGq863l2j+P8CK9Vg9rhfWztVyJVCbsUaNlcpZlgvfS4xtvvBFRo0LZvHkzampq8Mwzz6CkpATPPfccnn/+efz1r39FUVER1qxZA4fDgV/96lcAvNMnpkyZgqVLl2LJkiVobm7GsmXLUF9fj6997WuyXpNLrFGqkb2WK5HCxWyJtV27do2oYSOxYMECfPzxx3jkkUfgdDoxZcoUbN++HUVFRQC8cxkHzikcP348tm/fjhUrVuCpp57CuHHj8Itf/EJ2CBKlIk2aBqWG0kQ3gyhphN0jVBv2CImIlCmq8wgrKipCztUbqLe3F4899hieeuop+S0lIiJKIFmXRu+44w5UVVUhKysL8+fPx4wZMzBu3DhkZmbizJkzOHLkCPbs2YPt27dj3rx5+OlPfxrrdhMREUWF7Euj586dQ0NDAzZv3gy73Y6zZ896f4AgYPLkyZgzZw6WLFmCiRMnxrK9ccdLo0REyhSzjXl9XC4XPv30U4wdOzalpyIwCImIlClmo0Z9fGtxEhERKVnUVpYhIiJSIgYhERGpGoOQiIhUjUFIRESqFnYQ3n333XjzzTdj0RYiIqK4CzsIe3t7UV5ejquvvho//vGP4XA4YtEuIiKiuAg7CF977TU4HA4sX74cv/nNb2AwGHDLLbegoaEB58+fj0UbiYiIYiaie4Rjx46FxWLBoUOHsH//flx11VWoqanBuHHjsGLFCnz00UfRbicREVFMjGiwjNPpxI4dO7Bjxw5oNBrceuut+Otf/4rJkyfjySefjFYbiYiIYibsIDx//jxee+01zJs3D0VFRfjNb36DFStWwOl04tVXX8WOHTuwYcMGPPLII7FoLxERUVSFvcRaXl4ePB4P7rzzTuzfvx/Tpk0LqDNnzhx8/vOfj0LziIiIYivsIHzyySdxxx13IDMzM2Sdf/u3f0NbW9uIGkZERBQPYQdhTU1NLNpBRESUEFxZhoiIVI1BSEREqsYgJCIiVWMQEhGRqkW8Qz2NkCgCdjvgdAJ5eYDRCGg0iW4VEZHqMAgTwWYDLBagq+uzMr0eqKsDTKbEtYuISIV4aTTebDbAbPYPQQBwOLzlNlti2kVEpFIMwngSRW9PUJICn/OV1dZ66xERUVwwCOPJbg/sCQ4kSUBnp7ceERHFBe8RxonoEWE/+n9wTgHyPgGMxwFNkI4hAO8AGiKiVJHkgwMZhHFga7XB0mhBl7sLMHvL9C6grhEwtQY5IC8vru0jIooZBQwO5KXRGLO12mDeYvaG4AAOLWCuAmzFAwoFASgo8H5aIiJSOoUMDmQQxpDoEWFptEBC4DVQSfB+r60ARAHeEAQAqzWpLhkQEUVEQYMDGYQxZO+wB/QEB5IEoFMH2IvgvVTQ0JA0lwqIiEZEQYMDeY8whpy98ga9OB/7PvC1tewJElHqkDvoLwkGB7JHGEN5WfIGveTN/ApDkIhSi9xBf0kwOJBBGEPGQiP0Wj0ECEGfFyCgQFsAYyEHxxBRijEavbd8hODvfxAEiIV6NBWIqH+3Hk3tTRA9iblfyCCMIU2aBnUVdQAQEIa+x9YKKzRp7A0SUYrRaLxTJIDAMBQE2CZJMCz9FGX/ezOqbdUoe7UMhjoDbK3xH0nKIIwxU7EJDVUNyNfm+5XrtXo0VDXAVMzBMUTJSPSIaGpvSnhvRdFMJu8gwHz/9z/bTZfBvADoOv+xX7nD7YB5iznuYShIUrCxreTjdruh0+ngcrmg1Woj/jmiR4S9ww5nrxN5WXkwFhrZEyRKUn6LYFyk1+pRV1HHD6+RGLCyjHhFDgyH7kZXb/ARpQIE6LV6tFnaRvweKff9m0E4jGgFIREpg28RjMHzf323M3glZ2Sa2ptQ9mrZsPV2Ld6FUkPpiF5L7vs3L40SEV005CIYF8tqG2t5mXQEZE8rk1kvGhiEREQXDbsIBiR0ujth70j8JHClkj2tTGa9aGAQEhFdlIy9lVSTjNPKGIRERBclY28l1STjtDIGIRHRRcnYW0lFyTatjGuNEhFd5OutmLeYIUDwGzTDRTCiy1RsQuXEyqSYVsbpE8Pg9AmFSfKdsEkZgs0jLNAWwFph5dQJBUm56RNnzpxBTU0NdDoddDodampqcPbs2ZD1z58/j1WrVmHq1Km49NJLMW7cOCxatAgnTpyIX6Mpvmw2wGAAysqA6mrvd4MhaTb/JOUwFZvQbmnHrsW7sMm0CbsW70KbpY0hmKIU0yO85ZZb0NXVheeeew4A8J//+Z8wGAz43e9+F7S+y+WC2WzGkiVLcN111+HMmTOora3FhQsXcODAAdmvyx6hQvh2wh78z9m3xiH3eiRSnZRaWaa1tRWTJ09GS0sLZs2aBQBoaWlBSUkJ3n//fUycOFHWz/nzn/+MmTNn4vjx4ygsLAxap6+vD319ff2P3W43CgoKGITJTBS9Pb9Qm4AKgncV/LY2XiYlUpGUujTa3NwMnU7XH4IAMHv2bOh0Ouzdu1f2z3G5XBAEAZ///OdD1lm3bl3/5VedToeCgoKRNJ3iIYydsLmQMhENpohRo93d3cjJyQkoz8nJQXd3t6yf8a9//QurV69GdXX1kJ8M1qxZg5UrV/Y/9vUIKYnJ3OHa9uFvYTlUw4WUichPQnuEa9euhSAIQ3757ucJQTZ3lCQpaPlg58+fx8KFC+HxeLB+/foh62ZkZECr1fp9UZKTscO1rRgwO60By2clatsXIkoeCe0RLl++HAsXLhyyjsFgwDvvvIOTJ08GPHfq1Cnk5uYOefz58+dRVVWFtrY2vPHGGwy2VOTbCdvhCBwsA0BMAyxzNZAQeBlUggQBAmoba1E5sZLzw4hUKKFBmJ2djezs7GHrlZSUwOVyYf/+/Zg5cyYAYN++fXC5XLjxxhtDHucLwY8++gi7du3C2LFjo9Z2SiK+nbDNZu/AmIFhKAiwF0roGhP6XuDAhZRHuu0LESmPIgbLFBcXo6KiAkuWLEFLSwtaWlqwZMkSzJs3z2/E6KRJk7B161YAwIULF2A2m3HgwAFs3LgRoiiiu7sb3d3dOHfuXKJOhWIlxE7Y0Ovh/EGtrB/BhZRVQBSBpiagvt77XeRgKVJIEALAxo0bMXXqVJSXl6O8vBzXXnstNmzY4Ffngw8+gMvlAgB0dXXh9ddfR1dXF6ZNm4a8vLz+r3BGmpKCmExAezuwaxewaZP3e1sb8v69UtbhXEg5xXHBBQpBEfMIE4kT6pVP9Igw1BngcDuCbrgqQIBeq0ebpY33CFMVF1xQpZSaR0g0Esm47QvFkSgCFkvQgVT9ZbW1vEyqYgxCUoVk2/aF4iiMBRdInRQxoZ4oGpJp2xeKI5kLLsiuRymHQUiqoknTcIqE2shYcCGsepRyeGmUiFKbb8GFUKtQCQJQUOCtR6rEICSi1OZbcAEIDEPfY6uVO5OoGIOQiFLfEAsucOoE8R4hEamDyQRUVnpHhzqd3nuCRiN7gsQgJCIV0WiA0tJEt4KSDC+NEhGRqjEIiYhI1RiERESkagxCIiJSNQYhERGpGoOQiIhUjUFIRESqxiAkIiJVYxASEZGqMQiJiEjVuMQaEfkRPSI3LyZVYRASUT9bqw2WRgu63F39ZXqtHnUVdTAVc4cGSk28NEpEALwhaN5i9gtBAHC4HTBvMcPWaktQy4hii0FIRBA9IiyNFkiQAp7zldU21kL0iPFuGlHMMQiJCPYOe0BPcCAJEjrdnbB32OPYKqL4YBASEZy9zqjWI1ISBiERIS8rL6r1iJSEQUhEMBYaodfqIUAI+rwAAQXaAhgLjXFuGVHsMQiJCJo0Deoq6gAgIAx9j60VVs4npJTEICQiAICp2ISGqgbka/P9yvVaPRqqGjiPkFKWIElS4Hhp6ud2u6HT6eByuaDVahPdHKKY48oylCrkvn9zZRki8qNJ06DUUJroZhDFDS+NEhGRqjEIiYhI1XhplCjViCJgtwNOJ5CXBxiNgIb3+IhCYRASpRKbDbBYgK4By6Xp9UBdHWDiqE+iYHhplChV2GyA2ewfggDgcHjLbdw9gigYBiFRKhBFb08w2GwoX1ltrbceEflhEBKlArs9sCc4kCQBnZ3eekTkh0FIlAqcMneFkFuPSEUYhESpIE/mrhBy6xGpCIOQKBUYjd7RoULw3SMgCEBBgbceEflhEBKlAo3GO0UCCAxD32OrlfMJiYJgEBKlCpMJaGgA8v13j4Be7y3nPEKioDihniiVmExAZSVXliEKA4OQKNVoNEBpaaJbQaQYvDRKRESqppggPHPmDGpqaqDT6aDT6VBTU4OzZ8/KPn7p0qUQBAFWqzVmbSQiIuVRTBBWV1fj8OHDaGxsRGNjIw4fPoyamhpZx27btg379u3DuHHjYtxKIiJSGkXcI2xtbUVjYyNaWlowa9YsAMDzzz+PkpISfPDBB5g4cWLIYx0OB5YvX44//elPmDt3bryaTESkXCrbyksRPcLm5mbodLr+EASA2bNnQ6fTYe/evSGP83g8qKmpwQMPPIBrrrlG1mv19fXB7Xb7fRERqYbNBhgMQFkZUF3t/W4wpPTuJYoIwu7ubuTk5ASU5+TkoLu7O+Rxjz32GNLT03H//ffLfq1169b134fU6XQoKCiIqM1KIHpENLU3of7dejS1N0H0cGcCIlVT6VZeCQ3CtWvXQhCEIb8OHDgAABCCLB0lSVLQcgA4ePAg6urq8Morr4SsE8yaNWvgcrn6vzo7OyM7uSRna7XBUGdA2atlqLZVo+zVMhjqDLC1BvmHLopAUxNQX+/9zq18iFKPirfySug9wuXLl2PhwoVD1jEYDHjnnXdw8uTJgOdOnTqF3NzcoMfZ7Xb09PSgsLCwv0wURXznO9+B1WpFe3t70OMyMjKQkZEh/yQUyNZqg3mLGRL8/8E73A6Yt5jRUNUAU/HFVUi44zmROoSzlVeKzVNNaBBmZ2cjOzt72HolJSVwuVzYv38/Zs6cCQDYt28fXC4XbrzxxqDH1NTU4Oabb/YrmzNnDmpqanDPPfeMvPEKJXpEWBotASEIABIkCBBQ21iLyomV0Gz7rfdyyOBPiL7LJFy2iyh1qHgrL0XcIywuLkZFRQWWLFmClpYWtLS0YMmSJZg3b57fiNFJkyZh69atAICxY8diypQpfl+jRo3CFVdcMeQo01Rn77Cjyx36U58ECZ3uTtjbmlR7mYRIlVS8lZcighAANm7ciKlTp6K8vBzl5eW49tprsWHDBr86H3zwAVwuV4JaqAzOXnmf5pwHm7jjOZFCRGXgm4q38lLEPEIAuOyyy/C///u/Q9aRgvVeBgh1X1BN8rLkfZrL65X5A1PwMgmRkthabbA0Wvyu9Oi1etRV1H12r18O31ZeZrM39Aa+n6b4Vl6K6RFSdBgLjdBr9RAQ/FOfAAEF2gIYryyV9wNT8DIJkVL4Br4Nvt3hG/gWdBT4UFS6lZcgDdeNUjm32w2dTgeXywWtVpvo5kSF7z8PAL9BM75wbKhqgGlCpXcSrcMR/D6hIHj/c7S1peQnRKJkJ3pEGOoMIe/5CxCg1+rRZmmDJi3M/6MpsrKM3Pdv9ghVyFRsQkNVA/K1/p/69Fr9Z1MnuOM5UVKTPfCtI4L7+L6tvO680/s9xf+fK+YeIUWXqdiEyomVsHfY4ex1Ii8rD8ZCo/8nR99lkmDzCK3WlL1MQqQEsge+yaynZgxCFdOkaVBqKB26Enc8J0pKsge+yaynZgxCGh53PCdKOr6Bbw63I+gCGb57hMbC1JvuEG28R0hEpECaNA3qKrz38QePAvc9tlZYwx8oo0IMQiIihZI18I2GxekTw0jF6RNElFpEjzj0wDeVkvv+zXuEREQKJ2vgG4XES6NERKRqDEIiIlI1BiEREakag5CIiFSNQUhERKrGICQiIlVjEBIRkaoxCImISNUYhEREpGoMQiIiUjUGIRERqRqDkIiIVI1BSEREqsYgJCIiVWMQEhGRqjEIiYhI1RiERESkagxCIiJSNQYhERGpGoOQiIhUjUFIRESqxiAkIiJVYxASEZGqMQiJiEjV0hPdACKlET0i7B12OHudyMvKg7HQCE2aJtHNIqIIMQiJwmBrtcHSaEGXu6u/TK/Vo66iDqZiUwJbRkSR4qVRIplsrTaYt5j9QhAAHG4HzFvMsLXaEtQyIhoJBiGRDKJHhKXRAglSwHO+strGWogeMd5NI6IRYhASyWDvsAf0BAeSIKHT3Qn7y2uBpiZAZCAmlCh6fw/19fx90LAYhEQyOHud8upZHwXKygCDAbDxUmlC2Gzev/+yMqC6mr8PGhaDkEiGvKw8efU+ufgHhwMwm/nmG282m/fvvWtQ752/DxoCg5BIBmOhEXqtHgKEoM8LElDgAozHLxZIF+8l1tbyslwERI+IpvYm1L9bj6b2Jnn3XkURsFg++7sfiL8PGgKDkEgGTZoGdRV1ABAQhsLF91hrI6AZ+B4sSUBnJ2C3x6mVqcHWaoOhzoCyV8tQbatG2atlMNQZhh+Va7cH9gQH4u+DQmAQEslkKjahoaoB+dp8v3K9G2jYAphaQxzolHd/kUY4RUXu3zN/HzQIJ9QThcFUbELlxErvyjL7/w95qx6F8fignuBgefLuL6rdcFNUBAiobaxF5cTK4Cv5yP175u+DBmGPkChMmjQNSg2luPNra1F6QQ9NiPuGEASgoAAwGuPbQIWSPUWlI8SlTaMR0Ou9f+/B8PdBISgmCM+cOYOamhrodDrodDrU1NTg7Nmzwx7X2tqK+fPnQ6fTISsrC7Nnz0ZHR0fsG0ypT6MB6rz3DQPefH2PrVZvPRqW7Ckqoerx90ERUkwQVldX4/Dhw2hsbERjYyMOHz6MmpqaIY85evQovvSlL2HSpEloamrC22+/jR/84AfIzMyMU6sp5ZlMQEMDkO9/3xB6vbfcxPVH5ZI9RWWoevx9UAQESQo21ji5tLa2YvLkyWhpacGsWbMAAC0tLSgpKcH777+PiRMnBj1u4cKFGDVqFDZs2BDxa7vdbuh0OrhcLmi12oh/DqU4UfSORnQ6vfegjEb2PMIkekQY6gxwuB1B7xMKEKDX6tFmaRt+tw/+Pgjy378V0SNsbm6GTqfrD0EAmD17NnQ6Hfbu3Rv0GI/Hgz/84Q+YMGEC5syZg5ycHMyaNQvbtm0b8rX6+vrgdrv9voiGpdEApaXAnXd6v/NNN2xDTlG5+NhaYZW35RV/HxQGRQRhd3c3cnJyAspzcnLQ3d0d9Jienh588skn+MlPfoKKigrs2LEDt99+O0wmE3bv3h3ytdatW9d/H1Kn06GgoCBq50FEQws5RUWrR0NVA7e6ophI6PSJtWvX4uGHHx6yzp///GcAgBBkJJgkSUHLAW+PEAAqKyuxYsUKAMC0adOwd+9ePPPMM/jyl78c9Lg1a9Zg5cqV/Y/dbjfDkCiO/KaocPNjioOEBuHy5cuxcOHCIesYDAa88847OHnyZMBzp06dQm5ubtDjsrOzkZ6ejsmTJ/uVFxcXY8+ePSFfLyMjAxkZGTJaT0Sx4puiQhQPCQ3C7OxsZGdnD1uvpKQELpcL+/fvx8yZMwEA+/btg8vlwo033hj0mNGjR+OLX/wiPvjgA7/yDz/8EEVFRSNvPBERpQRF3CMsLi5GRUUFlixZgpaWFrS0tGDJkiWYN2+e34jRSZMmYevWrf2PH3jgAWzevBnPP/88/va3v+F//ud/8Lvf/Q733XdfIk6DiIiSkCKCEAA2btyIqVOnory8HOXl5bj22msDpkV88MEHcLlc/Y9vv/12PPPMM3j88ccxdepUvPDCC3jttdfwpS99Kd7NJyKiJKWIeYSJxHmERETKlFLzCImIiGKFQUhERKrGICQiIlVjEBIRkaoxCImISNW4Q/0wfINqufg2EZGy+N63h5scwSAcRm9vLwBwvVEiIoXq7e2FTqcL+TznEQ7D4/HgxIkTyMrKCrnAt49vge7Ozs6UnXPIc0wNPMfUwHMcmiRJ6O3txbhx45CWFvpOIHuEw0hLS4Nerw/rGK1Wm7L/KH14jqmB55gaeI6hDdUT9OFgGSIiUjUGIRERqRqDMIoyMjLw0EMPpfR+hjzH1MBzTA08x+jgYBkiIlI19giJiEjVGIRERKRqDEIiIlI1BiEREakag3AEzpw5g5qaGuh0Ouh0OtTU1ODs2bPDHtfa2or58+dDp9MhKysLs2fPRkdHR+wbHIFIz9Fn6dKlEAQBVqs1Zm0cqXDP8fz581i1ahWmTp2KSy+9FOPGjcOiRYtw4sSJ+DVahvXr12P8+PHIzMzE9OnTYbfbh6y/e/duTJ8+HZmZmbjyyivxzDPPxKmlkQvnHG02G7761a/i8ssvh1arRUlJCf70pz/FsbWRCff36PPWW28hPT0d06ZNi20DoyDcc+zr68ODDz6IoqIiZGRk4Atf+AJeeumlyBsgUcQqKiqkKVOmSHv37pX27t0rTZkyRZo3b96Qx/ztb3+TLrvsMumBBx6Q/vKXv0hHjx6Vfv/730snT56MU6vDE8k5+mzdulW67rrrpHHjxklPPvlkbBs6AuGe49mzZ6Wbb75Z2rx5s/T+++9Lzc3N0qxZs6Tp06fHsdVD+/Wvfy2NGjVKev7556UjR45IFotFuvTSS6Xjx48HrX/s2DHpc5/7nGSxWKQjR45Izz//vDRq1CipoaEhzi2XL9xztFgs0mOPPSbt379f+vDDD6U1a9ZIo0aNkv7yl7/EueXyhXuOPmfPnpWuvPJKqby8XLruuuvi09gIRXKO8+fPl2bNmiXt3LlTamtrk/bt2ye99dZbEbeBQRihI0eOSACklpaW/rLm5mYJgPT++++HPG7BggXS17/+9Xg0ccQiPUdJkqSuri4pPz9feu+996SioqKkDcKRnONA+/fvlwAM+wYVLzNnzpSWLVvmVzZp0iRp9erVQet/73vfkyZNmuRXtnTpUmn27Nkxa+NIhXuOwUyePFl6+OGHo920qIn0HBcsWCB9//vflx566KGkD8Jwz/GPf/yjpNPppI8//jhqbeCl0Qg1NzdDp9Nh1qxZ/WWzZ8+GTqfD3r17gx7j8Xjwhz/8ARMmTMCcOXOQk5ODWbNmYdu2bXFqdXgiOUfAe541NTV44IEHcM0118SjqRGL9BwHc7lcEAQBn//852PQyvCcO3cOBw8eRHl5uV95eXl5yHNqbm4OqD9nzhwcOHAA58+fj1lbIxXJOQ7m8XjQ29uLyy67LBZNHLFIz/Hll1/G0aNH8dBDD8W6iSMWyTm+/vrrmDFjBh5//HHk5+djwoQJ+O53v4tPP/004nYwCCPU3d2NnJycgPKcnBx0d3cHPaanpweffPIJfvKTn6CiogI7duzA7bffDpPJhN27d8e6yWGL5BwB4LHHHkN6ejruv//+WDYvKiI9x4H+9a9/YfXq1aiurk6KhY9Pnz4NURSRm5vrV56bmxvynLq7u4PWv3DhAk6fPh2ztkYqknMc7Oc//zn+8Y9/oKqqKhZNHLFIzvGjjz7C6tWrsXHjRqSnJ/+eCpGc47Fjx7Bnzx6899572Lp1K6xWKxoaGvDtb3874nYwCAdZu3YtBEEY8uvAgQMAEHRbJkmSQm7X5PF4AACVlZVYsWIFpk2bhtWrV2PevHlxHZgQy3M8ePAg6urq8Morrwy7bVUsxfIcBzp//jwWLlwIj8eD9evXR/08RmJw+4c7p2D1g5Unk3DP0ae+vh5r167F5s2bg34QSiZyz1EURVRXV+Phhx/GhAkT4tW8qAjn9+jxeCAIAjZu3IiZM2fi1ltvxRNPPIFXXnkl4l5h8n9kiLPly5dj4cKFQ9YxGAx45513cPLkyYDnTp06FfDpxic7Oxvp6emYPHmyX3lxcTH27NkTeaPDFMtztNvt6OnpQWFhYX+ZKIr4zne+A6vVivb29hG1Xa5YnqPP+fPnUVVVhba2NrzxxhtJ0RsEvP/ONBpNwCfqnp6ekOd0xRVXBK2fnp6OsWPHxqytkYrkHH02b96Me++9F7/5zW9w8803x7KZIxLuOfb29uLAgQM4dOgQli9fDsAbGpIkIT09HTt27MC///u/x6XtckXye8zLy0N+fr7f9krFxcWQJAldXV24+uqrw29I1O42qoxvkMW+ffv6y1paWoYdZFFSUhIwWOa2226T7rzzzpi1NVKRnOPp06eld9991+9r3Lhx0qpVq8IafBIvkf4ez507J912223SNddcI/X09MSjqWGZOXOm9K1vfcuvrLi4eMjBMsXFxX5ly5YtS/rBMuGcoyRJ0qZNm6TMzExp69atMW5ddIRzjqIoBvzf+9a3viVNnDhRevfdd6VPPvkkXs0OS7i/x2effVa65JJLpN7e3v6ybdu2SWlpadI///nPiNrAIByBiooK6dprr5Wam5ul5uZmaerUqQHD7idOnCjZbLb+xzabTRo1apT03HPPSR999JH0y1/+UtJoNJLdbo9382WJ5BwHS+ZRo5IU/jmeP39emj9/vqTX66XDhw9LTqez/6uvry8RpxDANyT9xRdflI4cOSLV1tZKl156qdTe3i5JkiStXr1aqqmp6a/vmz6xYsUK6ciRI9KLL76omOkTcs9x06ZNUnp6uvTUU0/5/c7Onj2bqFMYVrjnOJgSRo2Ge469vb2SXq+XzGaz9Ne//lXavXu3dPXVV0vf/OY3I24Dg3AEPv74Y+muu+6SsrKypKysLOmuu+6Szpw541cHgPTyyy/7lb344ovSVVddJWVmZkrXXXedtG3btvg1OkyRnuNAyR6E4Z5jW1ubBCDo165du+Le/lCeeuopqaioSBo9erR0ww03SLt37+5/bvHixdKXv/xlv/pNTU3S9ddfL40ePVoyGAzS008/HecWhy+cc/zyl78c9He2ePHi+Dc8DOH+HgdSQhBKUvjn2NraKt18883SJZdcIun1emnlypUR9wYlSZK4DRMREakaR40SEZGqMQiJiEjVGIRERKRqDEIiIlI1BiEREakag5CIiFSNQUhERKrGICQiIlVjEBKluBdffDFgv7dY+P3vf4/rr7++f5cVIqVgEBKlsL6+Pvzwhz/ED37wg5i/1rx58yAIAjZt2hTz1yKKJgYhUQp77bXXMGbMGBiNxri83j333INf/vKXcXktomhhEBIpwKlTp3DFFVfgxz/+cX/Zvn37MHr0aOzYsSPkcb/+9a8xf/58v7LS0lLU1tb6ld122224++67+x8bDAY8+uijWLRoEcaMGYOioiL89re/xalTp1BZWYkxY8Zg6tSp/Zsb+8yfPx/79+/HsWPHIj9ZojhjEBIpwOWXX46XXnoJa9euxYEDB/DJJ5/g61//Ou67774h7//Z7XbMmDEjotd88skncdNNN+HQoUOYO3cuampqsGjRInz961/HX/7yF1x11VVYtGgRBq7bX1RUhJycHNjt9ohekygRGIRECnHrrbdiyZIluOuuu7Bs2TJkZmbiJz/5Scj6Z8+exdmzZzFu3LiIX2/p0qW4+uqr8cMf/hC9vb344he/iDvuuAMTJkzAqlWr0NraipMnT/odl5+fj/b29ohekygRGIRECvKzn/0MFy5cwJYtW7Bx40ZkZmaGrPvpp58CwJB1hnLttdf2/zk3NxcAMHXq1ICynp4ev+MuueQS/POf/4zoNYkSgUFIpCDHjh3DiRMn4PF4cPz48SHrjh07FoIg4MyZM8P+XFEUA8pGjRrV/2dBEEKWDZ4u8fe//x2XX375sK9JlCwYhEQKce7cOdx1111YsGABHn30Udx7770BlyUHGj16NCZPnowjR44EPNfd3e33OFqDW/71r3/h6NGjuP7666Py84jigUFIpBAPPvggXC4XfvGLX+B73/seiouLce+99w55zJw5c7Bnz56A8tdffx02mw1Hjx7Fj370Ixw5cgTHjx+Hw+EYURtbWlqQkZGBkpKSEf0conhiEBIpQFNTE6xWKzZs2ACtVou0tDRs2LABe/bswdNPPx3yuCVLlmD79u1wuVx+5XPnzsXjjz+OyZMn480338T69euxf/9+bNiwYUTtrK+vx1133YXPfe5zI/o5RPEkSAPHPhNRyqmqqsL111+PNWvWAPDOI5w2bRqsVmtUX+fUqVOYNGkSDhw4gPHjx0f1ZxPFEnuERCnupz/9KcaMGRPz12lra8P69esZgqQ47BESqUyseoRESsUgJCIiVeOlUSIiUjUGIRERqRqDkIiIVI1BSEREqsYgJCIiVWMQEhGRqjEIiYhI1RiERESkav8P2lmC9T8gLM8AAAAASUVORK5CYII=", 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" ] @@ -4915,7 +4877,9 @@ "n_timesteps = 20000\n", "dt = 1e-13\n", "gamma = -0.01 * me / dt\n", - "T_eff = 0.01\n", + "\n", + "# Try increasing the effective temperature to increase the magnitude of the kick for each electron \n", + "T_eff = 0.1\n", "\n", "r = np.zeros((2 * n_electrons, n_timesteps+2))\n", "\n", @@ -4930,6 +4894,7 @@ " F = - qe * fm.grad_total(r[:, k-1])\n", " r[:, k] = prefactor * (F - r[:, k-1] * (-2 * me / dt ** 2 + gamma / dt) - r[:, k-2] * me / dt ** 2)\n", " \n", + " # Every n-th iteration, give the electron a kick in an arbitrary direction with velocity equal to the Maxwell-Boltzmann distribution:\n", " if not (k%50):\n", " # Add some temperature\n", " velocities = sample_v.rvs(size=n_electrons, T=T_eff)\n", @@ -4951,17 +4916,19 @@ "# plt.plot(init_x*1e6, init_y*1e6, 'ob')\n", "plt.plot(rx*1e6, ry*1e6, 'or')\n", "plt.plot(final_x*1e6, final_y*1e6, 'og')\n", + "plt.xlabel(f\"x ({chr(956)}m)\")\n", + "plt.ylabel(f\"y ({chr(956)}m)\")\n", "plt.gca().set_aspect('equal')" ] }, { "cell_type": "code", - "execution_count": 14, + "execution_count": null, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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" ] @@ -4971,9 +4938,6 @@ } ], "source": [ - "import matplotlib.animation as animation\n", - "from matplotlib import patheffects as pe\n", - "\n", "fig, ax = plt.subplots(1, 1, figsize=(4, 4))\n", "fm.plot_potential_energy(ax=ax, dxdy=(2, 2), print_voltages=False, plot_contours=False)\n", "\n", @@ -4994,16 +4958,23 @@ "anim = animation.FuncAnimation(fig=fig, func=update, frames=np.arange(2, n_timesteps+2, 25), interval=30, repeat=True)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In the animation below, you should observe significant jitter which is supposed to mimic the thermal motion." + ] + }, { "cell_type": "code", - "execution_count": 15, + "execution_count": null, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" @@ -11015,71 +12633,18 @@ ] }, { - "cell_type": "code", - "execution_count": 16, + "cell_type": "markdown", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], "source": [ - "# n_electrons = 20\n", - "\n", - "fig, ax = plt.subplots(1, 1, figsize=(4, 4))\n", - "\n", - "fm = FullModel(potential_dict=potential_dict, voltage_dict=voltages)\n", - "\n", - "fm.plot_potential_energy(ax=ax, dxdy=(2, 2), print_voltages=False, plot_contours=False)\n", - "\n", - "for k in range(n_electrons):\n", - " plt.plot(r[2*k, :] * 1e6, r[2*k+1, :] * 1e6, '-k', lw=.5)\n", - " \n", - "fm.plot_electron_positions(res, ax=ax)" + "# Conclusion" ] }, { - "cell_type": "code", - "execution_count": 17, + "cell_type": "markdown", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], "source": [ - "fig, ax = plt.subplots(1, 1, figsize=(4, 4))\n", - "\n", - "fm = FullModel(potential_dict=potential_dict, voltage_dict=voltages)\n", - "\n", - "fm.plot_potential_energy(ax=ax, dxdy=(2, 2), print_voltages=False, plot_contours=False)\n", - "\n", - "for k in range(n_electrons):\n", - " plt.plot(r[2*k, :] * 1e6, r[2*k+1, :] * 1e6, '-k', lw=.5)\n", - " \n", - "fm.plot_electron_positions(res, ax=ax)" + "In this notebook we've looked at ways to visualize convergence of the minimization procedure. There are various ways to improve and customize the convergence. We looked at one way to include random kicks with a magnitude derived from the Maxwell-Boltzmann distribution. However, if the connection to a thermal bath is desired, for example to compare simulations with experimental data taken at higher temperatures, we advise to use more rigorous Molecular Dynamics simulation packages, such as LAMPPS https://docs.lammps.org/Intro_overview.html, or HOOMD. " ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { @@ -11098,7 +12663,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.11.7" + "version": "3.10.6" }, "orig_nbformat": 4 }, diff --git a/examples/05_long_channel.ipynb b/examples/05_long_channel.ipynb index 333896d..bc72088 100644 --- a/examples/05_long_channel.ipynb +++ b/examples/05_long_channel.ipynb @@ -309,6 +309,13 @@ "fm.plot_convergence()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Zoom in to see wheter there are dislocations in the crystal structure" + ] + }, { "cell_type": "code", "execution_count": 14, diff --git a/examples/97_transmission_line.ipynb b/examples/97_transmission_line.ipynb index e754101..b0ca5c4 100644 --- a/examples/97_transmission_line.ipynb +++ b/examples/97_transmission_line.ipynb @@ -9,10 +9,10 @@ "name": "stdout", "output_type": "stream", "text": [ - "quantum_electron 0.2.1\n", - "numpy 1.24.2\n", - "scipy 1.11.4\n", - "matplotlib 3.7.1\n" + "quantum_electron 0.2.2\n", + "numpy 1.25.2\n", + "scipy 1.9.3\n", + "matplotlib 3.5.3\n" ] } ], @@ -46,14 +46,28 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Simple transmission line" + "The goal of this notebook is to study the circuit model for a transmission line and its coupling to electrons on helium. This model is slightly more advanced than the model studied in https://arxiv.org/pdf/2410.19592. \n", + "\n", + "The overarching approach is to break up the transmission line into unit cells with a capacitance $C$ to ground and series inductance $L$. First, we study a simple transmission line, then modify the boundary conditions to have the tips of a CPW meet each other. Finally, the coupling to electrons on helium is introduced in the final section\n", + "\n", + "1. [Simple transmission line](#section_0)\n", + "2. [Transmission line with shunt capacitance](#section_1)\n", + "3. [Meandering resonator with shunt capacitances](#section_2)\n", + "4. [Periodic transmission line with a break](#section_3)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Simple transmission line " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "We start with a simple transmission line, which has a unit cell containing an inductor $L$ in series and a capacitance $C$ to ground, see Fig.~\\ref{fig:tranmission_lines}a. Following the same approach as in Section~\\ref{sec:lagrangian} we write down the Lagrangian, carefully keeping track of any terms involving node $n$:\n", + "We start with a simple transmission line, which has a unit cell containing an inductor $L$ in series and a capacitance $C$ to ground. We write down the Lagrangian, carefully keeping track of any terms involving node $n$:\n", "$$\n", " \\mathcal{L} = \\frac{1}{2} C \\dot{\\phi}_n^2 - \\frac{1}{2L} \\left( \\phi_{n+1} - \\phi_{n} \\right)^2 - \\frac{1}{2L} \\left( \\phi_{n} - \\phi_{n-1} \\right)^2 + \\ldots\n", "$$\n", @@ -96,7 +110,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "16f54b84af1b4f3c804bacf143554e84", + "model_id": "6cd59657734249ae804cbf7aab38107f", "version_major": 2, "version_minor": 0 }, @@ -158,6 +172,17 @@ " plt.legend(loc=0, frameon=False)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In the animation above, it's fun to break the \"continuous limit theory\" by decreasing the number of elements in the transmission line. To do this:\n", + "- Increase `dx_um` to its maximum setting\n", + "- Decrease `total_length_mm` to its minimum\n", + "\n", + "Try checking `quarter_λ` to change the boundary conditions. This shows the effect of grounding one of the sides of the transmission line resonator." + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -172,7 +197,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -229,7 +254,7 @@ "outputs": [ { "data": { - "image/png": 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" ] @@ -253,14 +278,14 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Transmission line with shunt capacitance" + "# Transmission line with shunt capacitance " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "We now study the effect of a shunt capacitor on the transmission line resonator properties. The unit cell is still similar to the simple transmission line. However, including shunt capacitors adds extra terms involving $C_s$ to the Lagrangian:\n", + "We now study the effect of a shunt capacitor on the transmission line resonator properties. The shunt capacitance is in parallel with the inductor. The unit cell is still similar to the simple transmission line. However, including shunt capacitors adds extra terms involving $C_s$ to the Lagrangian:\n", "$$\n", " \\mathcal{L} = \\frac{1}{2} C \\dot{\\phi}_n^2 + \\frac{1}{2} C_s \\left( \\dot{\\phi}_{n+1} - \\dot{\\phi}_{n} \\right)^2 \n", " + \\frac{1}{2} C_s \\left( \\dot{\\phi}_{n} - \\dot{\\phi}_{n-1} \\right)^2 - \\frac{1}{2L} \\left( \\phi_{n+1} - \\phi_{n} \\right)^2 \n", @@ -306,7 +331,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "9c0f5289a44041759a12457710075882", + "model_id": "661b94c0c7d641f1945657d42c758a1f", "version_major": 2, "version_minor": 0 }, @@ -382,7 +407,14 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Meandering resonator with shunt capacitances" + "In the toy model above, it's fun to try to increase the `shunt_capacitance_fF` to see that the higher frequency modes are starting to get affected. Higher frequency modes pass through the shunt capacitor more easily since the impedance scales as $1/\\omega$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Meandering resonator with shunt capacitances " ] }, { @@ -435,7 +467,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "a782d23420fd430a8a591d20ca50ea1a", + "model_id": "de55d25d0c314021bd0906d6f16c23ba", "version_major": 2, "version_minor": 0 }, @@ -512,7 +544,21 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Periodic transmission line with a break" + "Try varying the `shunt_capacitance_fF` slider and observe how the \"theory without shunt\" deviates more when the shunt capacitance is large. The \"theory with shunt\" remains in good agreement with the simulation. Note that this model is a good approximation for Josephson Junction Array Resonators. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Periodic transmission line with a break " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In this section we will change the boundary conditions such that the tips of a $\\lambda/2$ resonator face eachoter at the location of the dot. We visualize the modes in a circle with a gap at the location of the dot. " ] }, { @@ -709,13 +755,13 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "4a0e68e6fc064f728a5c97d70204609c", + "model_id": "718c2f5788204301a50081e4342bc92c", "version_major": 2, "version_minor": 0 }, @@ -728,12 +774,19 @@ } ], "source": [ - "@widgets.interact(dx_um=(1, 100, 1), total_length_mm=(0.5, 10, 0.05), C_dot_fF=(0.0, 100, 0.1), L_total_nH=(1, 500, 1), C_total_fF=(1, 200, 1))\n", + "@widgets.interact(dx_um=(1, 100, 1), total_length_mm=(0.5, 10, 0.05), C_dot_fF=(0.01, 100, 0.1), L_total_nH=(1, 500, 1), C_total_fF=(1, 200, 1))\n", "def update(dx_um=25, total_length_mm=2, C_dot_fF=0.1, L_total_nH=200, C_total_fF=33):\n", " make_network(dx_um=dx_um, total_length_mm=total_length_mm, C_dot_fF=C_dot_fF, \n", " L_total_nH=L_total_nH, C_total_fF=C_total_fF, plot=True, return_all=False)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In the widget above, try increasing `C_dot_fF` to be approximately `C_total_fF` and observe as the mode frequencies start to split into doublets. This is a sign of hybridization of mode frequencies into differential and common." + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -752,12 +805,12 @@ }, { "cell_type": "code", - "execution_count": 86, + "execution_count": 11, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -808,7 +861,7 @@ }, { "cell_type": "code", - "execution_count": 48, + "execution_count": 12, "metadata": {}, "outputs": [ { @@ -817,23 +870,97 @@ "Text(0.5, 0, '$C_\\\\mathrm{dot} / (C_\\\\mathrm{total} + 2 C_\\\\mathrm{dot})$')" ] }, - "execution_count": 48, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 432, + "width": 546 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(6., 4.))\n", + "for k in range(4):\n", + " plt.plot(dot_capacitances_fF, eigenfreqs[:, k])\n", + "plt.xlabel(\"Dot capacitance (fF)\")\n", + "plt.ylabel(\"Mode frequencies (GHz)\")\n", + "plt.ylim(0, 30)\n", + "plt.xlim(dot_capacitances_fF.min(), dot_capacitances_fF.max())\n", + "plt.xscale('log')\n", + "\n", + "ax1 = plt.gca()\n", + "ax2 = ax1.twiny()\n", + "ax2.set_xscale('log')\n", + "xmin, xmax = ax1.get_xlim()\n", + "ax2.set_xlim(xmin / (C_total_fF + 2*xmin), xmax / (C_total_fF + 2*xmax))\n", + "ax2.set_xlabel(\"$C_\\mathrm{dot} / (C_\\mathrm{total} + 2 C_\\mathrm{dot})$\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Sweeping $Z_\\mathrm{res}$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here we'll keep the resonance frequency fixed, and find the total inductance and capacitance such that we sweep the resonator impedance linearly.\n", + "We'll use the following relations:\n", + "\n", + "$$\n", + "\\omega_0 = \\frac{1}{\\sqrt{L(C + 2C_\\mathrm{dot})}} \\\\\n", + "Z = \\sqrt{\\frac{L}{C + 2C_\\mathrm{dot}}}\n", + "$$\n", + "such that $L = Z / \\omega_0$ and $C = 1 / \\omega_0 Z - 2C_\\mathrm{dot}$" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/latex": [ + "$\\displaystyle \\left( 100.0, \\ 10000.0\\right)$" + ], + "text/plain": [ + "(100.0, 10000.0)" + ] + }, + "execution_count": 49, "metadata": {}, "output_type": "execute_result" }, { "data": { - "application/pdf": 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig = plt.figure(figsize=(6., 4.))\n", - "for k in range(4):\n", - " plt.plot(dot_capacitances_fF, eigenfreqs[:, k])\n", - "plt.xlabel(\"Dot capacitance (fF)\")\n", - "plt.ylabel(\"Mode frequencies (GHz)\")\n", - "plt.ylim(0, 30)\n", - "plt.xlim(dot_capacitances_fF.min(), dot_capacitances_fF.max())\n", - "plt.xscale('log')\n", - "\n", - "ax1 = plt.gca()\n", - "ax2 = ax1.twiny()\n", - "ax2.set_xscale('log')\n", - "xmin, xmax = ax1.get_xlim()\n", - "ax2.set_xlim(xmin / (C_total_fF + 2*xmin), xmax / (C_total_fF + 2*xmax))\n", - "ax2.set_xlabel(\"$C_\\mathrm{dot} / (C_\\mathrm{total} + 2 C_\\mathrm{dot})$\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Sweeping $Z_\\mathrm{res}$" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Here we'll keep the resonance frequency fixed, and find the total inductance and capacitance such that we sweep the resonator impedance linearly.\n", - "We'll use the following relations:\n", - "\n", - "$$\n", - "\\omega_0 = \\frac{1}{\\sqrt{L(C + 2C_\\mathrm{dot})}} \\\\\n", - "Z = \\sqrt{\\frac{L}{C + 2C_\\mathrm{dot}}}\n", - "$$\n", - "such that $L = Z / \\omega_0$ and $C = 1 / \\omega_0 Z - 2C_\\mathrm{dot}$" - ] - }, - { - "cell_type": "code", - "execution_count": 49, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/latex": [ - "$\\displaystyle \\left( 100.0, \\ 10000.0\\right)$" - ], - "text/plain": [ - "(100.0, 10000.0)" - ] - }, - "execution_count": 49, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "application/pdf": 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "dx_um=25\n", - "total_length_mm=2\n", - "f0_diff = 6.1e9\n", - "\n", - "C_dot_fF = 0.02\n", - "impedances = np.linspace(10 ** 2, 10 ** 4)\n", - "inductances = impedances / (2 * np.pi * f0_diff)\n", - "capacitances = 1 / (impedances * 2 * np.pi * f0_diff) - 2 * C_dot_fF * 1e-15\n", - "\n", - "do_plot = False\n", - "deltaV = np.zeros((len(impedances), 6))\n", - "eigenfreqs = np.zeros((len(impedances), 6))\n", - "\n", - "fig = plt.figure(figsize=(6.,4.))\n", - "\n", - "m = 0\n", - "for L_total_nH, C_total_fF in zip(inductances * 1e9, capacitances * 1e15):\n", - " evecs_sorted, ev_sorted, dV = make_network(dx_um=dx_um, total_length_mm=total_length_mm, C_dot_fF=C_dot_fF, \n", - " L_total_nH=L_total_nH, C_total_fF=C_total_fF, plot=False, return_all=True)\n", - " \n", - " deltaV[m, :] = np.abs(np.array(dV))\n", - " eigenfreqs[m, :] = np.sqrt(ev_sorted[:6]) / (2 * np.pi * 1e9)\n", - "\n", - " m += 1\n", - "\n", - "plt.plot(impedances, deltaV[:, 0] / 1e13)\n", - "plt.xlabel(\"Resonator impedance ($\\Omega$)\")\n", - "plt.ylabel(\"Voltage across the dot $V_0 - V_{-1}$ (a.u.)\")\n", - "plt.xlim(impedances.min(), impedances.max())" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The voltage across the dot scales linearly with the impedance because the total inductance $L \\propto Z$ (when keeping $f_0$ constant) and $V_{n+1} - V_n = L \\, dI_n / dt$. Note that this is not true for the zero-point fluctuations across the dot, which should scale with $\\sqrt{Z}$ when the resonance frequency is kept fixed." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Inspect mode profiles for a single parameter set" - ] - }, - { - "cell_type": "code", - "execution_count": 50, - "metadata": {}, - "outputs": [ - { - "data": { - "application/pdf": 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "dx_um=25\n", - "total_length_mm=2\n", - "C_dot_fF = 4\n", - "L_total_nH= 200\n", - "C_total_fF= 33\n", - "\n", - "evecs_sorted, ev_sorted, dV = make_network(dx_um=dx_um, total_length_mm=total_length_mm, C_dot_fF=C_dot_fF, \n", - " L_total_nH=L_total_nH, C_total_fF=C_total_fF, plot=False, return_all=True)\n", - "\n", - "plot_mode_profile(evecs_sorted.T, ev_sorted, colorbar_label=r\"Charge eigenvector $q$ (x)\", clim=(-0.2, 0.2), savepath=None)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Scikit RF model" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Here we'll construct a sci-kit RF network to verify the behavior observed in the numerical EOM approach from the previous section. This network also contains input and output capacitors to probe the resonance.\n", - "We'll use `plot_s_db` to extract the transmission from port 1 to port 2. " - ] - }, - { - "cell_type": "code", - "execution_count": 51, - "metadata": {}, - "outputs": [], - "source": [ - "def make_scikit_network(L_total_nH, C_total_fF, C_dot_fF, fmin=1e9, fmax=15e9, plot=True, return_all=False):\n", - " \"\"\"Make the periodic transmission line resonator with a break in scikit-rf\n", - "\n", - " Args:\n", - " L_total_nH (float): Total resonator inductance in nanohenries\n", - " C_total_fF (float): Total resonator capacitance in femtofarads\n", - " C_dot_fF (float): Dot capacitance in femtofarads\n", - " fmin (float, optional): lower range of the frequency axis. Defaults to 1e9.\n", - " fmax (float, optional): upper range of the frequency axis. Defaults to 15e9.\n", - " plot (bool, optional): plot the results. Defaults to True.\n", - " return_all (bool, optional): Defaults to False.\n", - "\n", - " Returns:\n", - " ArrayLike: S21 scattering parameters (10,000 points)\n", - " \"\"\"\n", - " Z_0 = 50\n", - " Z_res = np.sqrt(L_total_nH*1e-9 / (C_total_fF * 1e-15))\n", - " C_dot = C_dot_fF * 1e-15\n", - "\n", - " # The total length of the ring is 2 l1 + l2\n", - " l1 = 2e-3\n", - " l2 = 5e-3\n", - "\n", - " # The necessary frequency description\n", - " freq = rf.Frequency(start=fmin, stop=fmax, unit='Hz', npoints=10000)\n", - "\n", - " port1 = rf.Circuit.Port(freq, 'port1', z0=Z_0)\n", - " port2 = rf.Circuit.Port(freq, 'port2', z0=Z_0)\n", - " gnd = rf.Circuit.Ground(frequency=freq, name='ground')\n", - "\n", - " # piece of transmission line and series impedance\n", - " tline_media = cpw.CPW(freq, z0_override=Z_res, ep_r=11, rho=0)\n", - " trans_line_a = tline_media.line(l1, unit='m', name='trans_line_a')\n", - " trans_line_b1 = tline_media.line(l2, unit='m', name='trans_line_b1')\n", - " trans_line_c = tline_media.line(l1, unit='m', name='trans_line_c')\n", - "\n", - " C_c1 = tline_media.capacitor(2e-15, name='C_in')\n", - " C_c2 = tline_media.capacitor(2e-15, name='C_out')\n", - " C_dot = tline_media.capacitor(C_dot, name='Cdot')\n", - "\n", - " cnx = [[(port1, 0), (C_c1, 0)],\n", - " [(C_c1, 1), (trans_line_a, 0), (trans_line_b1, 0)],\n", - " [(trans_line_a, 1), (C_dot, 0)],\n", - " [(C_dot, 1), (trans_line_c, 1)], \n", - " [(trans_line_c, 0), (C_c2, 0), (trans_line_b1, 1)],\n", - " [(port2, 0), (C_c2, 1)]]\n", - "\n", - " cir = rf.Circuit(cnx)\n", - " ntw = cir.network\n", - "\n", - " if plot:\n", - " plt.figure(figsize=(5.,3.))\n", - " ntw.plot_s_db(m=0, n=0, lw=2, logx=False)\n", - " ntw.plot_s_db(m=1, n=0, lw=2, logx=False)\n", - "\n", - " if return_all:\n", - " # Return the element (0, 1) from the scattering matrix for the given frequencies\n", - " return ntw.s[np.logical_and(ntw.f >= fmin, ntw.f <= fmax), 0, 1]" - ] - }, - { - "cell_type": "code", - "execution_count": 52, - "metadata": {}, - "outputs": [ - { - "data": { - "application/pdf": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "dx_um=25\n", + "total_length_mm=2\n", + "f0_diff = 6.1e9\n", + "\n", + "C_dot_fF = 0.02\n", + "impedances = np.linspace(10 ** 2, 10 ** 4)\n", + "inductances = impedances / (2 * np.pi * f0_diff)\n", + "capacitances = 1 / (impedances * 2 * np.pi * f0_diff) - 2 * C_dot_fF * 1e-15\n", + "\n", + "do_plot = False\n", + "deltaV = np.zeros((len(impedances), 6))\n", + "eigenfreqs = np.zeros((len(impedances), 6))\n", + "\n", + "fig = plt.figure(figsize=(6.,4.))\n", + "\n", + "m = 0\n", + "for L_total_nH, C_total_fF in zip(inductances * 1e9, capacitances * 1e15):\n", + " evecs_sorted, ev_sorted, dV = make_network(dx_um=dx_um, total_length_mm=total_length_mm, C_dot_fF=C_dot_fF, \n", + " L_total_nH=L_total_nH, C_total_fF=C_total_fF, plot=False, return_all=True)\n", + " \n", + " deltaV[m, :] = np.abs(np.array(dV))\n", + " eigenfreqs[m, :] = np.sqrt(ev_sorted[:6]) / (2 * np.pi * 1e9)\n", + "\n", + " m += 1\n", + "\n", + "plt.plot(impedances, deltaV[:, 0] / 1e13)\n", + "plt.xlabel(\"Resonator impedance ($\\Omega$)\")\n", + "plt.ylabel(\"Voltage across the dot $V_0 - V_{-1}$ (a.u.)\")\n", + "plt.xlim(impedances.min(), impedances.max())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The voltage across the dot scales linearly with the impedance because the total inductance $L \\propto Z$ (when keeping $f_0$ constant) and $V_{n+1} - V_n = L \\, dI_n / dt$. Note that this is not true for the zero-point fluctuations across the dot, which should scale with $\\sqrt{Z}$ when the resonance frequency is kept fixed." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Inspect mode profiles for a single parameter set" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Use this cell below to inspect the mode profile for a specific parameter set." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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6H3zwAdLT05GdnY24uDiP7ysuLnY7DggIqHKNTqdD79690bt3b4/a/N///ud6rdVqPb6vNmlpaW7livr27Yvp06f71KZarcYnn3wCrVaL4cOH++0DAhERETWcphwTAsCkSZPwxhtvVBmY85QkSVi9ejXOnj2Ls2fPokePHh7f60mc54vg4GA8+uijePzxx6HT6RRPqrNYLDh8+LDr2NPBTn975513XK81Gg0WLFjgc5vPPPMMrr/+eowZM0ZRdSEiIiKqHy09hqzJww8/7JowOWbMGDz66KP1uh3f/fffj0suuQRnz55FWVmZWzXI2ngSx3bu3Nnt+Mcff6y1cqXJZMLmzZtdx/4YrwQYQxIRtUZMardA8fHxrr3wiouLUVJS4nrPH3vkFRcX+21l7YUri331xBNPYO/evQCAIUOG4Omnn/Zr+9UZNmwYhg0b5vV969evd70WBAHt2rXzqR8vv/wyvv32W9fxrbfe6tNq6vNWrFjhtkp7zpw5PrcJABMmTPBLO/7Utm1br/6NGAwGt9VSwcHBLX5/KSIiaj5aY0woCAIuueQSPP300xg9erRPbYmi6FG58eps2LDB9ToyMtJvVYPCwsJwyy234IknnvBqMmVN9u/f77Yf4sCBA3Ho0CF88skn2LRpE06ePAmTyYSYmBh0794dkyZNwi233IKIiAifn33enj17cObMGdfxxIkT/fK99erVC7169fK5HX+Kiory6t+e0+l0+70B4NXkCiIiIiUYQ/oWQ1Zn9erVrlLjERER+OyzzzxOMivVpUsXdOnSxev7Ko9XAhXbOl5o+vTpePTRR11x5Pz58zF69OhqxzYlScK9997rVrno9ttv97pfF2IMWTPGkETUkjGp3QItWrQIixYtAlBRnqRyqSB/7bHcFP3888947bXXAFQkF7/88kuPS4E3tH379uGXX35xHQ8fPtyrwUFJkmCz2ZCeno5Nmzbhv//9ryuZDwAjRozASy+95Je+Vu4nAFx22WV+abcp+vLLLz2+1mg04qKLLnIltQVBwOeff44OHTrUV/eIiIi80hpjws2bN3u0ZUt9WrVqFY4dO+Y6njhxol/a7devH86ePYuQkBC/tAe4lx5XqVRYsGABli1bVuW67OxsZGdnY8OGDXjuuefwwgsv4I477vBLH1pTrHn//ffj/vvv9/j6u+66C++++67reN68ebj66qvro2tEREQujCH9KycnB7fccovreMmSJT4vbKkvZrMZb731lutYp9Nh3LhxVa5r3749nnzySfz73/8GAJw9exYDBw7EU089hSlTpiApKQkmkwl//vknXnjhBbdV2rNmzcKNN97oc18ZQ9aMMSQRtWRNM+NHTdrChQub3D4cBQUFmDNnjmtFcX2UCfIXh8OB22+/3W3186233upVG5MmTcK6deuqnNdoNLj77rvx7LPP+m3Ac9++fa7XQUFB6N69u1/aVSI9Pb1J7NkkSRKuv/56t4Hg559/3uey7ERERM1JU4wJGzuhXV5eXmXAqfIgpi/8uTr6vMqxjNPpdEtoBwYGIiYmBkVFRa6tfQCgpKQEd955J/bt2+dW8lGpyrEmAAwaNMjnNn3RVCYovvLKK26DkRMnTsTLL7/ciD0iIiLyj9YUQ8qyjDlz5rhWKd9www249tpr6+VZ/rBgwQK3PbSvvvpqhIaGVnvtwoULIYoinnvuOTgcDhQWFmLevHmYN29etdcHBQXh8ccfx5NPPumXsT3GkNVjDElELV391jkhaiC33HILcnNzAQAzZszwOknckO69917s2LHDddyzZ0+vS3qnp6dXe75t27aIjY2F3W73qY/nWSwW5OTkuI47dOjQJJLKje2RRx7BypUrXcc33HADnnjiiUbsERERETU2p9OJ2bNnu8Vpl19+OcaPH9+Ivapd5aQ2AKjVatx///04dOgQTCYTMjIyYDAYsGfPHsydO9ctDlyyZAlefPFFn/tw+vRpt+OOHTv63GZzt3LlSjz22GOu4x49euDrr7+GSqVqxF4RERGRt1555RXXiuKUlBS8/fbbjdyjmi1dutRVAROoWKX97LPP1ni9IAh45plnsHfv3jrLdWs0Gjz//POYP3++3+IZxpBVMYYkotaAK7Wp2XvrrbewZs0aAEBiYiLee++9Ru5RzRYsWID//ve/ruOAgAB8/vnnXgcXGRkZCAsLQ0REBAoLC12rZ86cOYOnnnoKL7/8Mj777DNMnjzZp/6WlZW5HYeHh3t87/Tp03HgwAGPr3/ppZcwY8aMWq9Rq9WK96w2m81us02Vevfdd92C/BEjRuCDDz7wuV0iIiJqviRJwty5c7F27VrXuZiYmCYdl9rtdrdYLSIiAmvXrsXw4cPdrhMEAf3798fHH3+MSZMmYfbs2XA6nQCAp59+GrNmzfJpf02l8eaLL77oVQx21VVXuUqp1qZ9+/aKtzDyx/6gu3fvxnXXXQdJkgBU/D1as2aN3/ZlJyIiooaxd+9eLFiwAEDFNi+ff/55k/15vmbNGsydO9ft3Ouvv17rGJwkSXj99dfx4osvoqCgwHU+KCgIMTExKCsrc8V5drsdDz74IN566y18+umnGDlypM99ZgzpjjEkEbUWTGpTs3bw4EE8+uijACoG3D755BNER0c3cq+qkmUZjz32WJVyL++++y769+/vdVuHDx92BZaSJGHHjh14/vnnXcn90tJSXHXVVfjxxx99Wh10fsBSiczMTK+CsvLy8jqvadu2reL9mzZt2lTtPkDeWLduHe677z7Xcfv27bFixQrodDqf2iUiIqLmy263Y86cOVi6dKnrnFqtxtdff93o5dDr8tNPP+HMmTNIS0vD+PHjqyS0LzRr1iwcOXIEzzzzDICK733RokU+Je+VxpuFhYVexZp5eXkeXbdp0yakpKQo6pOvFY2ysrIwefJk14RVrVaL5cuXN5lylkREROQZo9GI2bNnw2azAQCeeOIJjBo1qpF7Vb3ly5e79RUAbr75Ztx555013mO1WjF9+nT8+OOPrnNXXnklnnzySQwdOhSiWFEc9tixY1iyZAneeustOJ1OnDp1ChdffDFWr16NCRMm+NRvxpB/YwxJRK0Jy49Ts2WxWDB79mxYLBYAwLx583DppZc2cq+qstvtuOmmm6oktF9++WWvy44DFYFO5ZmSoihi2LBhWL16tWsG6Pnn3nLLLW5Bqbcu3DdHr9crbqu5O3jwIK6++mo4HA4AQEhICFatWoW4uLhG7hkRERE1Fr1ej0mTJrkltFUqFb744osmXXYcqCgDOW7cONx8883497//jTFjxnh030MPPeS24uP8pEqlGG9WMBgMuPLKK922/lmyZAlGjx7diL0iIiIiJebNm4djx44BAIYMGeKaENjUvP3225g1a5bb2OG0adPqnLD44IMPuiW0n332WaxevRrDhw93JbQBoGvXrnj99dfx888/IzAwEABgs9kwe/Zs1z7jSjGGrMAYkohaGya1qdl69NFHcfDgQQBAnz598MILLzRyj6oqKirCpZdeii+++MJ1ThAEvPHGG3j44Yf9/rznnnsOF198ses4IyPDbe9nb4WGhrqV78nIyPD43l27dkGW5Rq/Pv74Y8X9amh5eXm48sorXavJRVHEl19+iT59+jRyz4iIiKixnDlzBiNGjMD69etd57RaLb755htcc801jdiz+hUSEuKWAM/JyUFWVpbi9pKSktyOPY03X3755VpjzbS0NMV9amhOpxPXXHMN9u3b5zr38MMP45ZbbmnEXhEREZES//vf/1zlrYODg/Hll18qLktdX5xOJ+bNm4d7773XVa4aAK655hp89913tfb35MmTePfdd13HM2bMwFNPPVXr8y6++GK89dZbruPi4mK3rf2UYAzJGJKIWqem9ROVmoXFixdj8eLFfmnLk32Uq/PDDz+4gqGAgAB8+eWXTa4E9KFDhzBlyhScPn3adU6j0eDjjz/G9ddfX2/Pffjhh7Fx40bX8aZNmzBr1izF7fXu3Rtbt24FULFfTWZmZpMvpelPZrMZU6ZMQXp6uuvcCy+8gClTpjRir4iIiBpfU4gJG8vmzZtx1VVXua0wCQ0NxYoVK5r8Cm1/uHAP7by8vCoDi57q06cPVq1a5To+cOAA+vXr50v3mp158+a57cd+5ZVX4qWXXmrEHhEREdWflhxDZmVl4fbbb3cdv/HGG0hNTW3EHlVVWlqKa6+9FuvWrXM7f++99+KNN95wW2ldnW+//RayLLuOK1eNrM3cuXPx3HPPuZLGy5Ytw/PPP+9l7//GGJIxJBG1Tkxqk9eKi4u92nukNp7so1ydV155xfVaEARMmzat1usvLEEzduxYt1mHSvdprsnq1atx/fXXuz03IiICy5Ytq/eBzqFDh7odV07GKjF27FhXUhsA1q9fj5tvvtmnNpsLWZZx4403YseOHa5zc+bMwWOPPdaIvSIiImoamkJM2Bjef/993HPPPbDb7a5zSUlJWLNmDfr27duIPWs458tHnqd0T0OgItZ87rnnXMfr16/HjTfeqLi95mbx4sVuK5d69eqFr776qs4BZSIiouaqJceQH330EYqLi13HL7zwQq2VJc9vcXfe/Pnz3eKiL7/8sso4ny+OHTuGKVOm4Pjx465zgiBg0aJFePTRRz1qY+/eva7XoaGhGDBggEf3iaKIiy++GB9++CEA4Pjx4zCbzVXiSk8xhmQMSUStE5Pa1CxVLo1jNpu9DoZ9TfTW5s0338S8efPc+tihQwf88MMP6N69u1dt5efn4/Tp09DpdOjfv79H91y4p0zlfigxffp0tyDx008/bTVJ7ccffxz/+9//XMejRo2qc18hIiIiaplkWcbjjz9eZfXDgAEDsHr1aiQmJjZSz3xTWlqKwsJCr1YRXbgHYkxMjOLnjxkzBlFRUa4B4BUrVuCtt96qEtO2RGvWrMFDDz3kOo6NjcXq1atbxfdORETUEl04BufteGV+fj7y8/Ndx2az2S/9AoCtW7di6tSpbkn3oKAgfPHFF5g+fbrH7ZSWlrpeR0REeNWHuLg4t2O9Xq84qc0YkjEkEbVOnLpDXlu4cGGte4948zV37tzG/nb86l//+hfuv/9+tyB29OjR2LFjh9cJ7S5duiA+Ph7Dhw/Hfffd5/F9F+5pmJCQ4NVzLzRgwACMGDHCdfzbb79h8+bNPrXZHHz44Ydug9YpKSlYvnw5tFptI/aKiIio6WhNMaEkSbjtttuqJLSvuuoqbNmypVkmtG+77TZotVpERkaic+fOyMvL8/jeXbt2uV6Hh4cjJSVFcT/UajXuuOMO17Fer/d5j8XmYN++fZg9e7ZrlbtWq8WKFSt8+r0kIiJqDlpTDNlU/PTTT5gwYYJbQrtt27bYsmWLVwltwD2RnZub69VimsrPFwQBkZGRXj27MsaQjCGJqHViUpuapU2bNnkV5H788cdu96elpbm97w/PP/88Fi5c6HbuhhtuwPr16xWtXuncubPr9bZt23D27FmP7qu8lwoADBs2zOtnX+jC7+sf//iH28xMJXxdQV6fNmzYgLvuust1HBoaitWrVyM2NrYRe0VERESN5Y477sBHH33kdm7+/Pn47rvvEBQU1Ei98k1ycrJbCfULY8iaHDlyBH/99ZfreNy4cT6XOZw3b57bAOl//vMf7Nmzx6c2m3KsmZ2djSuvvBIGg8F17r333sPIkSMbsVdERETkK28T9uf3lz7v448/dnt/7NixPvdp48aNmDZtmtuq7379+mH79u0elw6vrEuXLq7XdrsdGzdu9PjeyotkOnXqBI1G4/XzK2MMyRiSiFofJrWJ/GDVqlV46qmn3M7Nnz8fn3/+ueKVvTNmzHC9djqdePnll+u8p6ysDIsWLXId63Q6TJ06VdHzK7v00ktx0003uY6PHz+OyZMnu82w9MaWLVuq/H41FUeOHMHMmTNdg7yiKGLp0qXo1atXI/eMiIiIGsPixYvxwQcfuI4FQcDbb7+NF198EYIgNGLPfDNt2jS349dee63OvbFlWcajjz7qNin07rvv9rkvcXFxePXVV13HVqsVV1xxBfbv36+ovYyMDNxwww0+96s+GI1GTJ482a260vz58zFnzpxG7BURERG1ROnp6Zg5cyasVqvr3Pjx47F582a0bdtWUZuTJ092O160aJFHC4ZWrFiBI0eO1NiOEowhGUMSUevDpDaRj86ePVtlj+nHHnsML774ok/tXnvttW4B5ltvvVXrChq9Xo+ZM2e6BTcPPPAA4uPjferHeUuWLMHQoUNdx1u3bsWgQYOwZs0aj9vIyMjArbfeirFjxyInJ8ftvaYwKFxQUIArrrjCbRX6m2++iSuuuKLxOkVERESN5q+//sKjjz7qdu7tt9/2SyK3sfXt29dt9c+BAwfc9ua70PmE9g8//OA6N378eFx66aV+6c/NN9/stuVObm4uRowYgddee81tRXltDAYD/vOf/6BXr174888/3d5rCrGmJEm47rrr3FYQXXPNNXjhhRcasVdERETUEjmdTsyePRslJSWucxdddBHWrFnj097Lw4YNw0UXXeQ6Xr9+PZ544olaVzjv3bsXt956q+s4MDAQDz74oOI+VMYYkoiodWFSm6gGn3zyCQRBcH3VtE/PM88847ZieeLEiT4ntAEgODgY77zzjit4cjgcmDp1Kp544gm3UuRGoxFff/01Bg4ciPXr17vODxo0CE8//bTP/TgvKCgIa9euxbhx41zn0tLSMHnyZPTr1w+vvvoqDhw4AIfD4XZfXl4evvvuO8ycOROpqan46KOP3AJdQRBw3333YdasWX7rqxIWiwXTpk1zK/30+OOPt4hBayIiIlLmkUcegc1mcx3feeedbluU+OLMmTNusWZj7IP3zjvvuJVPX7x4MSZNmoTt27e7VtxIkoTNmzdj/PjxeOWVV1zXxsbGVinJ7qvXX3/dbYDTaDTioYceQvv27fHEE09g69atMJlMbvcYDAasX78e9957L5KTk7FgwQLo9Xq3a8aPH19lO53G8Mgjj2DVqlWu4zFjxuDTTz9tEoOlRERE1Dx4GkMuXbrULUHbtm1bLF++HAEBAT734Z133kFYWJjreNGiRRg3bhx++OEHt0RyRkYGnnnmGYwcOdItuf7iiy8iOTnZ536cxxiSiKj1UDd2B4ias8zMTHz22Wdu5/bu3eu2H7anvvzyS7eV0AAwZcoUvPnmm7jvvvsgyzIcDgdefPFFvPjii4iPj4darUZeXl6VRPKAAQOwZs0aBAcHe/9N1SIqKgo///wznnvuOSxatAgWiwUAsG/fPjz88MMAAI1Gg5iYGOh0OpSWlta69/aYMWPw8ssvY9CgQX7tpxJvvvkm/vjjD9exWq3G7t27MWzYMJhMJtjtdjgcjjpLKiUlJWHTpk313FsiIiKqb9u2bcOGDRvczv3www9ITU31uq3ffvtNcYnH+tS9e3esWLECU6dOdcV1P/74I3788UeEhoYiMjISBQUFbnswAhWlHjdu3Ih27dr5tT+iKOLVV1/FsGHDMG/ePFdln5ycHFcMLAgCYmNjERQUBJPJhPz8/Brb69ixI/7zn//gmmuu8Ws/ldi5cydee+01t3M2mw3jx4+HwWCAzWaD3W73qHxnU/37RERERE3H888/73ZsMBiqjDt64v7778f999/vdq5nz55YsWIFpk2b5koEb968GZs3b4ZKpUJCQgIsFguKioqqtPf4449Xac9XjCEZQxJR68GkNpEPVq5cWaWUTW5urqK2LhwsPO+ee+5Bly5dcNtttyEjI8N1Pi8vr8q1Op0Od955J1588UW/zLysjlqtxsKFCzF37ly88sor+Oyzz1BeXu563263VyktfmEfp06dinvvvRejR4+ulz4qYTQa3Y4dDgd++eUXr9u5cIIBERERNU/Lli2rci4zM1NRW56WPmwMEyZMwI4dOzBnzhzs3bvXdV6v11dZrQIAU6dOxeLFi/2e0K7s6quvxqRJk/D2229jyZIlSE9Pd70ny3Ktg5AAMHr0aNx555245pproFKp6q2f3rgw1gRQpbylp5ry3yciIiJqfAcPHsTRo0fdzpWVlaGsrMzrtipXp6zs4osvxp49e3Drrbdi8+bNrvNOp9OtwuR5bdu2xWuvvVavlRoZQ9aOMSQRtQRMahP54MIAsb5ceumlOHnyJL799lusXr0aO3bsQH5+PhwOB2JiYtC1a1dccskluOmmmxpsxl1KSgrefPNNLFq0CL/++it++eUX7N+/HydOnEBpaSnMZjMiIiIQGxuLNm3aYOjQoRg7dixGjRrl9xXkRERERP7WUHFeU9C7d2/s2bMH69atw7Jly/DHH38gOzsbRqMR0dHRSExMxPjx4zFz5kwMGTKkQfoUEhKC+fPn49FHH8X27duxbt067N69G0ePHkVhYSEMBgOCgoIQGxuLuLg41x7hY8eORXx8fIP0kYiIiKgpaqg4NjU1Fb/99hv++OMPfPvtt9iyZQsyMzNRWlrqitMGDx6Myy+/HNdeey20Wm2994kxJBFRyybIntSmICIiIiIiIiIiIiIiIiIiagRiY3eAiIiIiIiIiIiIiIiIiIioJkxqExERERERERERERERERFRk8WkNhERERERERERERERERERNVlMahMRERERERERERERERERUZPFpDYREVELsmPHDtxxxx3o2bMnwsPDodVqkZCQgEsuuQSvv/46DAZDY3exVsXFxXj22WcxePBghIeHIzAwEJ06dcINN9yA3377zae2Dx06BI1GA0EQ/NRbIiIiouaP8WPNGD8SERERVY8xZM0YQ9YfQZZlubE7QURERL4xGo2488478cUXX9R6XXx8PJYuXYpx48Y1UM88t3XrVsycORN5eXk1XvOPf/wDb7/9NjQajVdtm0wmjBgxAvv27QMAMPwhIiKi1o7xY+0YPxIRERFVxRiydowh6xeT2kRERM2c0+nEFVdcgXXr1rnOjRs3DiNGjEBQUBBOnz6N77//HkVFRQAArVaL9evXY/To0Y3V5SoOHjyIYcOGwWg0AgC6dOmCKVOmIDQ0FLt27cLatWvhdDoBVASV7733nsdtWywWTJ8+HT/99JPrHMMfIiIias0YP9aO8SMRERFRVYwha8cYsv4xqU1ERNTMLVmyBHfffTcAICoqCsuXL8eYMWPcrjEYDJgzZw6WL18OAGjfvj2OHTsGnU7X4P29kCzLGDx4MHbv3g0AuOOOO/DWW29BrVa7rtmyZQsmT56MsrIyAMBPP/2Eyy67rM62c3JycPXVV2Pr1q1VnklERETUWjF+rBnjRyIiIqLqMYasGWPIhsGkNhERUTOXmpqKU6dOAQBWrVqFyZMnV3udzWbDwIEDcfDgQQDA559/jhtuuKHB+lmTlStXYtq0aQCAPn36YO/evRBFscp1K1aswIwZMwAAQ4YMwfbt22tt95dffsGNN95YbSkhhj9ERETUmjF+rB7jRyIiIqKaMYasHmPIhlP1T4uIiIiajUOHDrmCyS5dutQYTAIVJX/uuOMO1/HGjRvrvX+e+OSTT1yv58+fX20wCQDTp09H3759AQA7duzA8ePHq73u2LFjmDp1KiZMmOAKJocOHYqYmBj/dpyIiIioGWL8WBXjRyIiIqLaMYasijFkw2NSm4iIqBk7P+MRAAYPHlzn9R07dnS9zs7OrvE6WZaxbNkyXH311Wjfvj0CAwMRERGB3r1748EHH8TRo0d96/g5DocDGzZsAACIolhnOZ+JEye6Xq9YsaLaa+644w6sWrUKACAIAu677z5s2rQJwcHBfukzERERUXPG+LEqxo9EREREtWMMWRVjyIanrvsSIiIiaqquuuoqZGRkIDs7G0FBQXVeXzmIDAkJqfaa9PR0zJo1Czt37nQ7b7FYUFZWhoMHD+LNN9/EY489hueffx6CICju/4kTJ6DX6wEAnTt3RnR0dK3XDxs2zPW6rtI/Q4cOxauvvooRI0Yo7h8RERFRS8P4sWaMH4mIiIiqxxiyZowhGw6T2kRERM2YWq1GcnIykpOTPbq+8szCnj17Vnk/LS0NI0aMQG5uLgAgKioKU6ZMQWpqKsxmM7Zv344NGzbA6XTihRdeQG5uLj766CPF/T9x4oTrdYcOHeq8vl27dq7XNZX+GT16NB5++OFayyARERERtVaMH6ti/EhERERUO8aQVTGGbHhMahMREVXicDhcwZS/5eTkIDY2Fmp17T9+k5KS6uX5W7duxdq1a13HM2bMcHvf6XTimmuucX3/119/Pd59990qsym3b9+OGTNmIDs7Gx9//DHGjBmDOXPmKOpTTk6O67Un33fbtm1dr8/vVXOhZ599VlFfiIiIiJRqqTEk40ciIiKi+tFS40eAMSTVHya1iYiIKsnNzfV4xmF9kWXZ720WFhbipptuch1PmTIFffv2dbvmf//7n6vcz4QJE/DZZ59BFMUqbQ0dOhTLli3DyJEjIcsy/vWvf+GGG26ASqXyul9lZWWu156ULgoMDKz2XiIiIqLG1BJjSMaPRERERPWnJcaPAGNIql9V/5YQERFRi6LX6zF58mSkpaUBACIiIvD6669Xue6DDz5wvV6wYEG1weR5w4cPx/jx4wFUlAv6/fffFfXNarW6XlcOFmtS+Rq73V4vwTcRERFRa8f4kYiIiIi8xRiS6htXahMREdVgOhIQBO9n/l3IBCdWoKKczo4dO9CmTRuf2/RUaWkprrjiCmzbtg0AIIoiPv/88yp7xzgcDvzxxx+u44EDB9bZ9siRI7F+/XoAFWWFLrroIq/7V3lmpSAIXt+v5B4iIiKi+tTcY0jGj0REREQNq7nHjwBjSGoYTGoTERHVIBQqhAi+/6hUVZrI16ZNm3rbr+ZC2dnZuPzyy3HgwAEAFcHkBx98gCuvvLLKtenp6TAaja7jC/ewqUt6erqiPlZ+jsViqfN6s9nseq3T6RQ9k4iIiKg+NecYkvEjERERUcNrzvEjwBiSGg6T2kRERDVQCQJUfpiFp4IANHCFmr1792Ly5Mk4e/YsAECtVuOjjz7CjTfeWO31xcXFPj2vpKTE9fr999+vc6+Z22+/HWFhYW4BpclkqvM5lQPK8PBwBT0lIiIiql/NNYZk/EhERETUOJpr/AgwhqSGxaQ2ERFRC7Nq1Spcd911rlmPQUFB+Oabb6qdHXmew+FwvU5MTMSDDz7o1TM7d+7sev3888/XOWty5syZCAsLcyuDlJ2dXedzzgfIAJCQkOBVH4mIiIioeowfiYiIiMhbjCGpoTGpTUREVANRAFR+2C5FBBpsluRbb72FBx54AJIkAQBiY2OxevVqDB06tNb7IiMjXa9lWcYjjzxSr/08r2fPnq7XZ86cqfP6yoFqly5d6qNLRERERD5pbjEk40ciIiKixtXc4keAMSQ1DrGxO0BERET+8Z///Af33XefK5js0qUL/vzzzzqDSQBo164d1OqKuW45OTnIysqq8x69Xg+r1Vrl/JkzZyDLcq1fKSkprudGREQAAI4ePQq9Xl/rM7dt2+Z6PWDAgDr7SEREREQ1Y/xIRERERN5iDEmNhUltIiKiGpzfz8YfX/Vt8eLFWLBgget42LBh+OOPP9CpUyeP7g8KCsLAgQNdx1999VWd99x4440IDAxEUlISPvroI+87fc75kkQOhwM///xzrdeuXbvW9XrChAmKn0lERERUX5pLDMn4kYiIiKhpaC7xI8AYkhoXk9pEREQ1UAn++6pPv//+Ox566CHX8SWXXIINGzYgOjraq3bmzJnjev3SSy+57R1zoT/++AOrVq2CLMvIzs7GkCFDvO/4Oddee63r9fPPPw+73V7tdcuWLcOBAwcAAL169XILgImIiIiaiuYQQzJ+JCIiImo6mkP8CDCGpMbHpDYREVEzZrPZcMMNN8DpdAIAunXrhhUrViAoKMjrtubOneuaVVlUVIRLLrkER44cqXLdrl27MGvWLMhyxSY9M2fORK9evRR/D5MmTcLw4cMBAHv37sWcOXNgsVjcrtmyZQtuvfVW1/HChQsVP4+IiIioNWP8SERERETeYgxJTYG6sTtA1JrIsgzZboPsdAKyDMgSIAOyLJ07rjgnSzLOvQFIcsX7ANRhEZCdToiBQRBEzkkhqm+in8r2iKi/aZIff/wxzpw54zoeOXIk3n33XY/uTU5OxjXXXOM6DgwMxHfffYcxY8ZAr9fj6NGj6NOnDyZNmoQBAwbAarVi7969WLdunSuYTElJwTvvvOPT9yAIAv773/9ixIgRMBgMWLp0KbZu3YqZM2ciMjISu3btwg8//OAKmq+//npcddVVPj2TiKi5kGUZDqcEq0M6FxrKkCQZ8rn3JOncOVl2hZOVj6NCtLDaJYQFaaDTqBr72yFqFZp6DMn4kYio5ZNd447nxhgrTla+4PyLc29XOoYAqLUVh4IIoQHKGRO1dk09fgQYQ1LTIMhy5Z9mROQNWZIgmQxw6svgNJT//aUvh9NQ9VxQ936wF+bDfOKw188SA4IQMWEaCld8AQgCxKBgqIJDoQoKgSo4BGJwxa+q4NCK4/PvB4dADAqBOjoOokbDQJSoDllZWUhOTgYA3K9thzDB9/lf5bIDi20ZAIDMzEwkJSX53OZ5w4cPx7Zt2xTdO2bMGGzatKnK+YMHD+Lqq6+udobkhc/+9ttv/fb9bNmyBbNmzUJeXl6N19xwww346KOPoNFovG4/JSUF6enpAACGP0TUmExWB4oNVhTpK77Ovy7W2yrOGSyu18UGK56d3Q/zP9+j6FnPXN0X//5uH2QZCNCoEB6sQUSQFuHB2nO/VjoO1iI8SIuIYA3Cg7SICw9AdKiO8SORB5pTDMn40XOMH4moqZBlCbDbINutgN0K2W4596sVsFsgO86dt1kBhxViTDIESIDV6P3D1DoIcR0g6wsqjkWV25cgqqs5d/61GrKqYvyRMSRR7ZpT/AgwhvQGY8j6w5XaRHVwGsphyz0Le14WbHnZCOrRH0Xffw6HvgySUe8+y7GutvRlgMKATpYlOI2G8weQjAZIRgOq3/WhqoS59yFv6fvQxidW+dLEJ0IV6H2ZECJqfOf3d/GnXr164cCBA/j222+xfPly7Ny5E/n5+ZAkCfHx8Rg8eDCuu+46TJs2DaIfq0aMHj0aR48exVtvvYWVK1fi5MmTMBqNiI2NxfDhw3H77bdjwoQJfnseEVF9sdqdSC8w4lSuHidzyqG32NE2KggfbTiJYoMVZpvTq/aMFofivphtDle4arE7YSl1Iq/UUvtN50wa0BZlZjsyC03oEBeClLgQt1/bRAZCFDlYSdTcMH4kImp6ZFkGrCZIhhLIhhJI+mKo2nSElHGoInHtsHrXnt0KQatV2htAqhSvSk634+pGQt3ORbeH01QGQaUBVGoIKg2Ec79CrYYgsPokUXPEGJKaAq7UJkJF4OgsK4YtLxv23CzY8s7CnpcNW14WpPOJ5HMixk9B2e/rIZkMNbRWM21iOwi6IJiPHfT6XkEXgJABw1G2dYPX9wJA7Ky5yP/moxrfV4VFuCe7ExKhjUuEJi4BokZpEEzU/FSeJfmgrr3fZkm+Zq2YnefvWZJERNR4zDYHTucacDK3vCKBnavHqVw90guMcEp/f8xSiwIeuLI7Xl55SNFzHprSA6+u8r7SDwDcO7Eb3vrxqKJ7rxvdARsP5taYBNeqRbSPDa6S7E6JC+EKb2p1GEMSEZEnZFmGbDFA1hefS16XQDYUQzKUAHb3xLW66zDIBae9WlBznhAWAzE4DLB4P34JtRaIaguYy72/FwCikiGZarlXVEFQqasmvFVqxo/UqjB+JPIeV2pTq+M0GSHbrTDs/r0ieZ17Fra8bMhWs0f32/LOQhUSpiip7TSUQx0Q4vV9AACp0kptBRzlpbW+7ywvhbm8tGppdEFA4m0Ponz3NgSldkNgancEtOsAQc3/PoiIiKh1kCQZBXoLjp8tx+9H813J67PFJo/GGB2Sb/OIDWZPa/NUZbIqX+UdpFPXuqrb5pBwIkePEzn6Ku/17xCFKYOTcbbEhIEdotCvQxRiwgIU94WIiIiouZGtJshOJ5zZxyHrS86twi4GnJ7FZ7KxBFDrALtnVXbc7rVbAV/21pW8qyzk1b2SE7LkrCiXfsFbYlgMJFmAqKooaS6I3NObiIj+xqwUtXhOfRksp4/BknYUltPHYMvJRPSMuShe87WimY72vLNQhYbBnp/tfV8MeqhjvL6tgizDaVSwDw4AiCrYCvOVP9dsgn7nVuh3bgUACFotAjt0QeC5JHdgaleoQ8KUtU/UhAkA/FHYhh+/iIiaF7tTwpGsMuw8WYidp4qw53QxokN1GNk1Fp/+ekpRm74kl8vNyu812ZTfK/lQ1Cs+IgArd2Zif3oJztcKahcTjAEdo9C/QxT6d4xCakIYVCxfTi0QY0giotZJMunhzM+AlJ9e8WtZPnTDp8JxVNketJK+BKqQsIr9s71ltyr/QSLLypPaoqoiYa300RAgOR2QKiX+BVEFUaWCKKogqFRMclOLxPiRyDNMalOL4ygtguV0RQLbcvpYtclna/pJqCNj4Cgu8Lp9e2EeAuMSlXVOcgKypOhWWZYhmaqugvGEKjgE9jzvk/Dn2YsL3ftis8F07CBMlcqoa9skITC1G4JSuyOwc3doE9oyyKRmTyUIUPnh77GKISURUZNmtTuxP70Eu04VYeepIvyVVgzTBftel5vtmDEkWfEzykzKV1vrzTbF95qtygcVrXZlcSsAJEUHYeOBXLdzGYVGZBQa8f2OTABASIAa/TpUJLkHdIhCn5RIhARoFD+TqKlgDElE1PLJsgzZWApnfgac55LYsr64ynXO4hxAo6tSWtyjZxiKIUfEKuugwwZZ9iHB5UtS26F8UmV1cyplyQmn5MT5HgmCCOGCJDfHIKm5Y/xI5BkmtalZk2UZjqJ8WE4dOZfEPgpHSWGd91nSjkET31ZRUhuyXLHvi0KywqQ2ZOXlx31JaqvCI2E5U/eKJFtOFmw5WSjbsv7cM0MRmNoNMdOvgyCqoEtqzwCTiIiImgSj1YG/0opdSez96SWwOeqO0aweXFOT/DIFK2zO0TfSSm29D2XP1aJYZ9l1g8WBrUfysfVIRUUhUQC6tg3HpP5tMb5vGyREBCJYx4+sRERE1PhkWYZcXuRKYDvz0yHXtm/0OVJ+BlThMZBKcrx/qNMBQRCrlOj2mOIV076t1IakMP5UqT0aN5VlCbJDgoTzsWpFuXKVRgsZAlQqf6x3JSKipogjBNTsSDYrLMcPQAwOQ8FXSzxKYl/IUZSPgE49lHfCh1KMcCgMCmUoTmqLugBIVmUDqdq4NjCfOur1fU6jHoZ9OxEyYDhyPngDmth4hA4YhtCBQxHUuQcElUpRf4gakgqAyg9zMVS+baVKREQ+kmUZp/IM2HWqCDa7E4tWHoJTwT7XuaVmxX3IKlK4jQwqVokrZbYpX6ldavR+RdF5SvosycCRrDL0aR+Jhz/bjbR8A4Z3icX43gkY1zMeMaHck5uaB8aQREQtg2SzwH7mCMTQSNj++B9ki/fxnFSSC1VCB0BJUhuArDRBDACS0oU1UFxpEoLyhLKgUkNS1Ge5omS5qIbRaocoCNCqVdBoVFBzT25qJhg/EnmGSW1qFiSrGeaj+2E6uAuWY/sh220I6j0YqvBIRUltAD5tMCErKBnkonSmoyxBVrrSxocEsio0HJJJ2SCsOiIKppNHAAD2gjwUr1uJ4nUroQoJRUi/wQgdMAwhvftD1HGAkoiIiPxLlmUcPVuOn/fn4Jf92UjLr4hnFs7srSihDQAHMkoRFaJFscH7cuBp+QYEaVVVypp7Qu9D6XJfyo/nlytfXZ5ZZFJ8b/vYYHy3PQMA8NvhPPx2OA+CAPRrH4mLeyVgfO826BAXorh9IiIioppIVjNspw/BdnI/bBnHAKcDup7DoNIFKUpqA1CeIAYAh/I40KeV2or5MOAqKk9VCIIIm7Pi91mSZVjsDljsDggCKhLcajU0Kia4iYiaOya1qcmSzEaYjvwF88FdMJ84CFywH4v52H4EDboI1jMnlLVvVLY/dUXflA/SyYoDysaiPJAN7NQVxr07q5x3GvQo27oRZVs3QtBoEdyrH0IHDEVo/yFQh0X40Fci/xIF+GU/G5GfmYiIGoQsyziQUYqf9+dg/f6cahOrBXorBEFZ4Z3jOeXonRSuKKlttUtICNcpSmqX+bKntl356p6cYmUr08ODNDiYUaL4udWt8pZlYO+ZEuw9U4JX1hxBx7iQcwnuBPRpFwmRP2ypCWEMSUTUvEhmA2ynD8F6cj/smSeqJINtpw4gqO8QoEzBNoaA8mQ4ANlmUZwmliVnw++u68PPP9mXVd6iCLu9apwty4DV7oT13HsatepcklsFkQluakIYPxJ5hkltalKcRj3Mh/fAdHA3LCcP1zqjULZZIWp1ip+ldI9pAHDqyxTfKzt9KBuk9JkO5c9UWvIcANRRMXCU1T6gKdttMOzdAcPeHcgRBASmdkPowGEIHTAMuoRExc8m8geV4KfSPwwoiYjqjSTJ2HumGD/vy8H6AznILa19dfHmI/nomhiGo2fr3gPxQrIMhAVplXYVAVplH7/KfVmp7UP58TKTXdFqljaRgTieo2wCaVSIFnvPFNd53el8A05vPIkPNp5ETKgO43pWJLiHdY6BTsNtbqhxMYYkImr6JGM5rKcOwnZqP+xZp2pdTS1bjIBK+RikVF6kPDFtNUFQK4xtJKeyDJcP2y7KsuzDYm3fEuIy6o577Q4n7Oe2hlSrRFeCWyVyH25qXIwfiTzDpDY1Oqe+DKaDu2E6tAvWtGNe7ffiLMqD0qU29oIciGHhkMq9T1A7SuseaKtRIyS1le6nDQD2vFzF9zoNXibEZRnmE0dgPnEEpb/+hMiJMwCHHREjx0EVzBKTREREVMEpydh5qgg/78vGhgO5KNR7vjXMgYxSTBnUVlFSGwDsTuWDfCqF0+ZtDuUlKy0Kk9pataj4ew3UKf+Y2atdJP444d0qqEK9Fd9tS8d329Lxn9n9sD+zDFcNSUbPpHCWmCQiIiIXp74UtlMHYD25H47sNHhTndBRqjwxLZXkQYyIhaBgf2zZbIAcEqYsppGcCkt6N86mvJIsKM5r2xVsL+RwSnA4JajsDgiiCoIgIFin5gpuIqImjEltahSyJMFyfD/Mh/dADItG+YbvFbVjPn4QmjbtYM9OV3S/OiQcNgVJbeV70vi2alopp8I9sSEIsBflK7tVo4Xp1HFlzwUQ0n8ICr//GvaiAuQu/RjhQ0chctzlCOrSnYOT1GBUguCX0j/+aIOIiIDsEjOWbc9A1zahePzLvYqTvYIPq0B82WfaoXAvb19YqinD6IlArQp2s7K41e5DEj44QA2lv01atYhSsw3Ltmec+3sShplDk3FF/7YIDdQo7hORtxhDEhE1HbLTAfPRfbCePgxNeBgsf21W1I49/Ri00ZGAsVRBJyRAowOsCmIrh61iMY/SpHYDD/8rX6mtPKENwLWfthIatQpFRhskGSgxWhGsUyMkQAMt9+CmBsT4kcgzTGpTg3IaymDctRWGnZvgLKtY7Rw55UbF7clWM7RRMYqT2vCltIzCFeKNUX7cqVe2EkkVGg5HibJV6bq27WA+pWy/cwBQh0XAXlSxSke2WVG6ZQNKt2yArm07RF58OSJGXQx1SKji9omIiKh5kCQZf54oxDfb0rHlaD4kGRjUIQoju8bi10N5ito8na98e5WMQuV7IvpSClwppSu1VSrlcbI3K+er3qt80sCwzjFYvfvvLYaO5ZTj+e8P4ZUfjuCyvomYOSQZfdtHcnCSiIioFXCWl8CwewuMuzdDOreNYOT0uYrbk4zlEJI7QlaS1AZqLW9eJ6cDEL3fAkd2Kow9fZmHqbR0uUqlfD9uUYTsw3CrU4JrUqUMwGB1wGB1QKMSERqgQbBWDZEbFRMRNQlMalO9k2UZtvQTMOzYBNOhXcAFAZX5+AGoY9vAUZCj7AF25YNmkln5oKSg1UFWUNa7MVZqK11ZLmqU7xkp6AIU36sKDYPh2OFq37OezUDu5+8h7+uPETZkJKLGXY6gbr04OEn1QvTTfjb87ENE5L1Sow0rd2fh220ZyCo2ub23K60Y917aWXFS+2BmKdrFBCtKUDslGYFalaIEdanR5vU9vrIqXKnty16KeaVmRbGZWiXgUJaCKkrndE0Mwx+b06qct9glrNyVhZW7spAaH4KrhrbD5AFtEe7D/uhEtWEMSUTUOGRZhjXtKIw7NsF87K8qWxxaTh2FGBwGyahs8YfTaoHSaX+y1aw4ZytLkrJFzIorTfqQ1Vb6TQoK9w0HoPB3BwAgCgKMturHau1OCcVGK0qMVgTp1AjVaaBVc/U21Q/Gj0SeYVKb6o1kNcP01zYYdvwKe97ZGq+zHNuH4MFjYVCY1LblZCjtIpxlJYrvFUSVohBPdtoVP7OhSXblfXWUKv+9De7RF6XbttR6jWy3o+z3TSj7fRO0bZIQNe4yRIweD3VYuOLnEl2IpX+IiBqWLMs4kFmGb7elY93+nFrLi58tNUOtEuBQsO+zLAMxYTrFq67DQ7QwF5u9vs+XvbGVUlrK2+5o+FLpyTHBSC8y1X1hNQQByCmte8LpyTwDFq06jNfWHsWEPm1w1ZBkDOwQxcFJ8ivGkEREDUsym2D86w8Yd/0GR2FujdeZD+1C2PCxsB3Zoeg5jvxsaHRQFDfIhlLIIeHKYg6lkw0V7OHtO2U/u2RBeZUguw8htkolwmqtffxTBmC0OmA8t3o7RKdGsE4DFbOH5EeMH4k8w6Q2+Z0tLwvGHZtg3PsHZJsHq6hlGXAoT57KZhPUUTFwFBcquNmHwTpPywap1FCFhkEVEgZVSDgkswnqmAQIoggI52b3VfoSBPHclKpzx6IACCJs+bkQg4Mhmc2QjAY4jQY4TYaK1yajb2WMauAsL1V8ry2n5okMdZEFscps2tqflYXcrz5E3jefImzwCCTccBvUERycJCIiai7MNid+3JeNb7el48hZz1bO/Lw/F4M7RePP4wpiQAAGi/JBPi/CFMUigrWICtEiOlSHIJ0aTklGm8hAiIIAURDOhY4CRKFihYkgVuwULp47J4gCHE4J2cUmhAZqUGa0o9RkQ5nRdu5Xe637bZtqWLFSl2CdGmaFq8M1PpQ875Ucgd+O5Ht8vc0hYc2es1iz5yxSYoNx96VdMKFPGw5OEhERNSO27HQYd/4G04HtkO0eVMRxOiApjHGAihLkCI4DnAqqRkrOijLiao2yez0hiIAmAIJGV7GHN2QIEfFwJZorj5O5Xl/4ngDZYYUQFAZITsiSs+L5lb9q7YPSpLbyGMwhyVCaTLd7OUHW7pRQYqqIp4O0akQGaX3atoeIiLzDpDb5jfnIX9D/vg7WM8e9v/fYPqgiY+EsKVD0bFVAIJSGpIJW51ny3e2BKoi6QGjbdYI6NPxcwjoMqsqvQ8KgCg2DoAus9+SqLEmQLGY4jfq/E97nkt6WMycgO52wF+bDlpftVaJa6d47qrAIOEqUrdQWtFoYjx1SdK/sdMB4ZD9Kf9+Esu1bETfjOoT2G8TkNimm8lPpH3+0Qa1HaWkptmzZgu3bt+P48ePIyMhAWVkZrFYrAgMDERYWhg4dOqBr164YPnw4Ro0ahaCgoMbuNpEihXorPt50Cit3Z0HvZZLZaHUgNjxQ8bPT8pVvQ1NqUlZGPDJEi4ggDTolhCI6VIeoEF21v0aEaH1K8HrKYnOizGRDmcmOMpMNpUYbykw2FJVbcSCjFE5JRlq+ARkFBo8H/FQqAVA4XzW31PvV7+fFhwfiSI5e0b1nCowoNlgx9dXfcHmfRFw/MgWRwSxNTsoxhqTGwBiSWhPTwZ0w/LketqzTXt9rPn4QmuBgwKIsFpQEDVRQthWi7HRC8DapLaoAlQZCRPy5ZPXfSWtBE3DuVx2g1gEqdf2PQcpyxcIayVGxxWSlxLdst0BQ6wCns6JSpTcLcBSWH69Ihiv7ngUABgVbCgEVq7etDicKjVaY7BJiQ3QI1qo4BkmKMX6kxtAc40cmtcknstMJ074/YTlxAEJopKKENgBIRj10XfooTmr7sqJYUKtrTGoLGi008YnQxidV/JrQFpr4ttBEx0NQKd/rxd8EUYQqKBiqoGAg9sJ3L3c7cpqMsOXnwJZ3FrbcbNjzc2DLy4Yt9ywki/KBRLf++PB7E9CuI4w17KftifCR41D4w3I4SkuQ/tIzCOyQitjp1yJs4LCK1fFERE2Q1WrFN998g08//RRbtmyBs45JRTt2/F0uT61WY8KECbjxxhsxffp0aDQKZv4TNbC0AgPe23QKY7rGYumf6XAqrJF9LKccKlFQdL8ky4gI0aLU4H2Cuq7nJUYGIrVNGFITQtEpIRSpbSp+bWp7OAdoVQjQBiI+ovbJAQ6nhOwSM87kGZCWb8CZ/L9/zS4xuRU/MlmVr37SWx2KBwLTi5RPUgjUqmCyO3C2xIwPfzuFr/48g1lD2uHGUR0QE6pT3C4RUX1jDEmtieywo/zPjbCkHYcmPExRQhsAnKWFCEgaAGfOSWX368sgBijcV7m2ipEqNYSQKIihkRW/hkRCCI2EEBRWUdWxiaioOKmqSLafyyzU9DshS1JFctvpgOy0Qz73KxwOVNm3W+GYnVNWnsETRBGSrDx2DdKqkau3QpKB9GITAjUqxIZoEaKr/8kFRERKNff4kUltUkSWnDDt3w795h/gLKko+Rg+cTaUDyUBUrnyPZhlq7kiglIwHirbrBB0gdAmtIU2IQma+LbQxidCk5AEdUR0i0uEqoKCEZiSisCUVLfzsizDWV5WkezOy4Z+z/aKld5pJz0r4VSJo7RUcf982ccbAARtgNt+3ua0k8h49TkEJKcgdvq1CB86EoLYdCYkUNMm+mmWJCuZUk30ej1ef/11vPHGGyg5V+FC9nJrDLvdjrVr12Lt2rVISEjAfffdh3vvvRchISH10WUin5wpNOKDTaew7mAOZLliZe64HnFYfzBPUXun8g3o1jYchzJLFd0foFEeE4gi0C4mGJ3iQ90S2B3jQxEc0LI+ZqlVItrFBKNdTDAu6hnv9p7V7kRGgRFp+QYczirD7lOFOFtswlkv9xwPDVTDqHBDxMTIQKQVKP8kMqF3G3z9Z4br2Gxz4rOtafhmWzpmDE7G3NEdERceoLh9an0YQ1J9YwxJrYnscKB8268o+WUFnKXFAIDY2bf71Ka9rAxKR/skkwGyJgSC2vs4UrZbIIeEQxUaDSEk0pXAFkIjIQSEtLhEqCCKEMTzpdD/JssyUCnh7bRbIag0FSu+veRL6XGb07c9hexOGZXnuprtTmSUmBGgEREbokMok9vkBcaPVN9aSvwoyN72mlo1WZJgPrAD5Zt/gLPYfc86TXwSoAuC9ZTyVbZCUBgkfamym7U6OI2eDWapY+IR0LErAjp0g7ZdR2hi20BsYclrf5EddlgyzsB88ghMJ4/AfOIIHOc+RNR4j5f70bgIAiRZBhQGlcE9+sCafRb2WvZX17VNRuy0axEx/KImtdqemo6srCwkJycDAF6J6IQo0fcZZ8WSHQ+XngIAZGZmIikpyec2qXmTZRnvvPMOnnnmGZSUlLgFkd27d0e/fv3Qu3dvdO/eHVFRUQgPD0dISAgsFgsMBgMyMzORlpaGPXv2YMeOHTh9+u9VCoIgIDo6Gk899RTuvfde/nyjJiGzyIj3fzuNn/Zn48JFzveM74zX1x5V3HaPtmHYn6ZscqQoAHaHZ3FHkFaFfh2iMLhTNAZ2ika3xDCENbGV101JXqkZe9OKXV+HM0trLWEeHKCG2cM/iwt1axuGkz6Uk59zUQd8+Wd6je9rVAKmDUzG3Is6IjFSecl7atkYQ1JDYAxJrYnsdEC/YzNKfl4OxwXjPAGdukMdoIb97BmFrQvQxUdDcCjbUkYVEgKNzrMxJSEsBqq4dlDFtYcYnQgxNIqJzhrIslyxxaLkhOx0QpKcta9uB2CSRMgKk9p6m/KkdqBGhWKTA85a+hegFhETokNYAJPbVD3Gj9QQWlr8yKQ2eUSWJJgP7YL+tzVwFNW8kiZkxASU/7ZW8XPU8UmwZ2fUfWF1NFo4Tabq30pIqkhid+yGgA5doQ6PVNzH1k6WZTiKCysS3CePwnziCCyZaYB0LhBUqSHblK221sTEw5qXo7hvkWMvQ/HGnzy6VpuQiNipVyNy1MUQ1C1rNRX5hgEl1bcDBw7g5ptvxt69eyHLMgRBwPjx43HdddfhsssuQ5s2bbxuMy0tDWvWrMFXX32F7du3A6gILPv06YP3338fgwYN8ve3QeSRrGITPtx8Gmv3ZddYsrtHYhjK9FacKaw+jquLWhRgtTrqGu+qkSRJ1d4bFqjBwE7RGNQpGoM7RaN7UniD7HPdUllsThzMKMGeSonukkql3wVRgKBwWUFQgBo2hZMquySEosxqR5EHZejVooAr+7fFLWM6Ijk6WNHzqOViDEn1jTEktRay0wn9zi0Vyeyi/Bqvi7xsOkzb1yt+ji4pBYK59kUbNRF0AdCFVL9FiRgZD1Vc+4okdmwyxEBWP1CqYv9uGZLkhOSs2Ltblv5ORMsATJLyBSu+JLV1GhWKjJ6Nf+rOJbfDmdymCzB+pPrWEuNHJrWpVrIswXx4D/Sb1sBRWHeyUR2XCIder7iUuKDRQrJYFN0LAE6HA4AAbduUigR2x64I6NAFquBQxW1S3SSLGea0EzCfPIqybZthzc4C6tiLoTpicAgc5eWK+qAKDQM0OjgKa/7AUx1NbDxip8xC5JhLIXIPMYJ7QPl6RCdEqfwQUDrtmMeAkgC88soreOqpp2C1WhESEoK7774bd911F9q3b++3Zxw9ehRvvPEGPv/8c5hMJmg0Gjz77LN47LHH/PYMorrklFbsTbz6r5qT2ZVN698W321TOLERQEKYDlkKk+IalQCLzYnoEB0Gp/6dxO7cJgwia7fVG1mWcabAiL2ni/Dj3mwcyS7zKLF8oZBzK7yVDhBO7NsGvxz2rvy9ShQwsW8ibh3TESmxHKimCowhqT4xhqTWQHY6YdjzO0p+Wg57YW6d1+tSukCwlEG2KIsBBV0gtMHKk4za8BCIGjXEqETXSmxVbDIEHau61KeK1dwVSW6r3QGrpOzPz+qQYfPgc0p1VKIAg03y6HNOZVqViNgQLcIDNUxuEwDGj1S/Wmr8yKQ2VUuWJViO/oXyTavhyM/26t6AHgNh2rdd8bMFTQAkLwNSVWgEArr0gia5E0L6DoUYwACyMTlNRhj274Z+9zYY9u2CZPFsT0XJh71sQvoMgP6v3YrvD2jXAe0e/ie0MbHcc7uVqxxQLo5MRbQfAsoipx33l5wEwICytRNFERqNBnfffTcWLFiAmJiYentWfn4+XnjhBSxZsgR2ux1OBZONiLyVW2bGx5vTsHJvFhxerJztnBCKU9l6WO3K/p6GBapRXGb16h6VKGBIajS6tgnDVcPaoUNcy9vHsDmRZRmHs8qw4WAuNhzIwfEcvUf3RYXqUG5xKHpmgEZEVKgO+Xrv/u6cJwjAK9cNQLfEMLSJ4OeP1o4xJNUnxpDUksmSBMOeP1Cy7n+w53tXvS908CjYTuxT/GxNRBi83ZlODImAJqUrtO26QNu+BwQNt6NpTJIsw+5wwuZwwu7w/P8rg02C0qSIVi2i2KQs/gSAII0KbcIDoFOL/PzRyjF+pPrUUuNH1tylKmzZZ1C6+gvYczMV3e/IywJEFSAp/Iur9iyaVEVEI6jnQAT1HgRtcicI3O+pyVAFBSN82EUIH3YRJLsdpiMHoN+zDfq92+Eoqb60kxgYBMlgUPxMS5ayv6/nhQ4ahtPPLYAYEIC2t9yFkG69fGqPiKg6V155JV599VWkpqbW+7Pi4uLw2muv4b777sNDDz1U78+j1k2WZbz841Es35VZ677JNTmRq8fgjpH441hh3RdXo9zsgCDUueUe1CoBI7rE4tI+bXBxrwREBHMQsqkQBAE9kyPQMzkC90/shsxCIzYczMXGg7nYfbqoyl7s55Wa7IpX1HdrG46DZ8sU9zk8UIOcMgueWn4AN45MwdxRHRCg4eRIIvI/xpDUUplPHUHBNx/AnndW0f3W7EzgXDlVJSSnAJWq7thVDIuGrnMfaDv1gTo+mYnIJkQUBOg0aug0asiyDLtTgt3hgM3hrPGzgSRDcUIbAMotviVrQgLU2JddBp1ahU4xwQjVMUVDRP7XUuNHrtQmF0dRLsp++hZB/UeieNkHgKx81aw6MQW29JOK75drWLGrjopDUO9BCOw5ENqkDgwimxlZkmA5cxL6Pduh370N1rN/lxmVUfOfe120iUmw+pDUFgODEH35VOQt+8p1LmLUOCTecAs0UfU3g4mapsqzJN+O8t8syXuKOUuSiFoeh1PCtzszcTLfALPVgV8O1l0qsibtooNwKtuz1bnVCdGqUFpN+WqdWsSobnG4tE8bjOkZj7BAbjfS3JQYrPjtcB42HMzF78cKYLZVDCSqRQGyKCj+TJAQGYBCBSXPz7ttbCes2HsWZeaK/RTjwwIwb0IXjO8Rz88prRBjSCIiz1ky0pD75fuInnAl8j9b7FNbgZ27QSpQlhQHAG14MMRqFtioIuOgTe0DXWofqGIS+bO9mZFlGQ5Jcq3ilirNkLQ4JNgVDnurRQGlPiS1VaIAnVpEVtnf22/Gh+qQEhUErYoLtlobxo9E3uM0IIJkt8Gw9UcY/vwFkJyQzAYE9hkK874/lbdpUL7iAQAEjQayvWJwSB2XiKBegxDUayA0CZwN2ZwJoojAjl0Q2LEL4mbeCFteDvR7tqNk0zpYspTvo+k0Kds/6bzIMZegYPVyt3OlW39F+c4/EX/VbMRcMQ0iy0kRERG5+SujFP/34xGcKjACAB6b2BXrD+XWuVq6JhlFJnSIC0ZavlHR/Qbb34NLgVoVLuoehwl9EzG6exyCufqhWYsM0WHakHaYNqQdLDYn/jxegA0HcvHzgRyYHcpGJOPCA1Cgtyr+bBEWqEGxyeZKaANAXrkFTyzbj0EpkXh4YjekxoUqapuIiKilcppNKFj+FYp/WQ1IEiBJCOo9GKYDOxW36SgtheDDam2nzelKaqti2kDXqQ+0qX2gjk5Q3CdqfIIgQKNSQaNSIUgHOJ0SbA4nLHYHFIaPAACz0mz4OeEBapwqch/HzNNbUWi0oX1kINqEBUDk2DcRUY04utPKWY7vQ9m6b+Es+7sktD03E7rOfQBRrAgwFZDKS6AKj3Jr1xtiUDCCB45BcJ/B0MS3VdQGNX3a+DaInjgN0ROnwZqXg5Jf16F08y9wlJV63IaoC4CjuEhxH0RdAKyFhZCslirvSVYLcr76GEW//oy2c25H2IAhip9DzZNKEKDyw4cJf7RBVJf09HS0b9++sbtBrUCx0Ya3NpzA2v3uex5++WcGLu2ZgJ99WK1t86GIlEYloG+nKNw0uiNGdotFoJYfdVqiAK0K43olYFyvBDw9qzc2HszDsh0Z2H7Su3jQ6cPgNwBM6J2AVfuyq31v15kS3PDuNswcnIzbx3ZidYBWiDEkNSeMIakhyLKM8u1bkbf0A7dt6UzHDiGk702AD0lte0EutLGxgL3quI5HdMEIHH4JAjr3hSoiVnE/qGlTqUQEqkQE6jQICZSgt9hhtNpr3OKmOoIAWBVsteTqgyCg2GSvtvS5U5JxusiE3HIrOsUEI4LxY6vD+JGak8aMHznS00o5SgpR9vO3sJ44UO37xh0bEdhjEMwHdyh+hgAvE+KiiMDu/REy9GLoOnTliuxWRhffBgnXzkX8zBtQvnc7Sjb+BMOBvXVujiloNIDZrPi5oQOHomTLplqvseWcRdqLzyB0wBC0nXsHdAmJip9HzYsoACo//FekcKtPakX+8Y9/4I033kBQUJCi+999913Mnz8fZWW+VUohqo1TkvH93rN499eT0FscVd4/W2rG8E7REAV4NThUWX65FaGBGugrrX6tS3J0EGYNbYepA5O4R3Yro1WrcHm/RFzeLxEZhUb8b0cmvt+VieI6SoqrRQGlJpvizxvBOhVOFRhq/XvulGV8syMD6w7m4J7xnTG5X1uoGBC0GowhqaEwhqTmwJqThdzP/gvjob+qfb/op1UI7TMQ5kO7FT9DsjshejNhTaVCYI+BCBkyDtrkThyDbGU0KhFRwTpEBmlhsjmgtzhgddRdUtzuQ0IbqKgmlVFa+ximye7EgZxyxARr0SE6CAHVlManlonxIzWU5h4/ck/tVkZ22GHYth76rT8CjtoHC3Vd+8JydD8gKd8nRIbgKiNeE1VoBIIHX4SQQRdBFRap+FnU8tgK8lCy6WeUbPoZjtLqV/3LSkfNAQhaLdQxCbBmpnt+j1qN2CtnIG7GtVAFBCp+NjVdlfezeS+mM2L8sJ9NodOO2wtPAOB+NlQ9URTRuXNnfPHFFxg8eLDH92VlZeHWW2/F+vXrAQBOp/Kf2US1OZJdjpd+PIojOeW1XqdViRjSIRKbjuQrflZ4oAaFpbWvtBEFYEz3eMwa1g7DU2Mg8pM7nWN3SNh0JA/Ltmfgj+OF1V4TFqiByYOBy5qM6xGPLSerb7sm3duE4dFJ3dA7KULxc6lpYwxJjYExJDVlktWCwtXfofCH5YCz6oTIysKHj4Hl2O46FzbURh0aBJWq9gSgKiIawYPGILj/SKhCwhQ/i1oeu1OCwWKHweqAVMPfQ6NNqnaVtSdEoWK7JIsXtc9FAUiKCERSeCAnR7ZQjB+pMTT3+JFJ7VbEcvoIyn76Gs5izwcZdam9YTm2T/EzBW0AnEZD9W137I6QoeMQ2K0vBBWLBlDNZKcT+r92omTjT9Dv2w3IFQGgoAuA5MMq7eAefaA/oOzvtzoyGok33oqIkWM5o7eFqRxQfhjbxW8B5a0FxwEwoKTqiaIIQRCgUqnwz3/+EwsWLIAoirXe8/HHH+Ohhx5CeXk55HOrEjggSf5Wbrbj3U2nsGJ3lscDOH2Tw/HXmRI4fZh45nRIkKpZCREVosVVg5Nx1dB2aBPByWVUu6xiE5bvyMT3OzNRoLe6zqtUAgSFA4OBGhXCQrQoMta+GrwmV/RNxL2XdEZMiE7R/dR0MYakxsAYkpoq/d4dyP38v7AXejgGKYgIHzQYlpMHFT9TDAqBWoOqYzSCgIDUnggePBYBnXtDqOPfCLVusizDZHPCYLXDYv/7/0ZJBkw+7KetVYvIrRSPekOnFtExOgjRQVqOQbYwjB+pMTT3+JGZxFbAWV6KsvXLYDnsfRkfR3EeoFIBCv+CyjZLxYYj5+ZOCAGBCB4wCiGDx0ITm6CoTWp9BJUKYQOHIWzgMNiKClC66RcU/bIaDh9KXAhqDYynTyq+31FShKz33oQqLAK6hDbQxfHvMxEp17VrVxw7dgwOhwMLFy7EunXr8MUXXyAlJaXKtTk5OfjHP/6BH3/8EUDFh26dTocFCxY0cK+pJZNlGWv35+CtDSdQYvK8FDgA7Mssw4CUKOw87d0ex5UFB6ihN/793IEdojBrWDtc0jMBGjUHIskzSVFBuP/yrrj70s7YfDQfy7ZnYMepIjh8mNedmhCKI3l6xff/sC8b8WE69EqOwKjUGA5MEpFPGENSU2MryEXuF+/DsNfL7QxlCZbcPMgAlP5klEwGSEEBUGkrkkJiUAiC+o9EyKAxUEdxr2zyjCAICNapEaxTV6zettqhN9th9WKFddU2gQKDsoQ2AFgdEk4UGCHHACE6NQI1LElORMo19/iRI0ItnPnoX8h/d6GihDYAOIvzoW2b4lMfRJ0O6oRkRE6bi8THXkHkpGuZ0CbFtNGxiLvqOnR981Mk3fUQdG2TlbUT3waS0ehTX2KnzkTWu2/g2EN3ofjXX8DCFy2PKAh++yKqzV9//YUHHnjAldz4888/0bdvX3zyySdu133xxRfo1asXfvzxR8iyDFmWMXbsWOzfvx9PPfVUI/ScWiKL3Yk7P9uNZ1cf9jqhfV5GscmnEnkWh4QAnQrXDGuHZfNG46M7hmFi30QmtEkRtUrExT0T8M4tQ/DN/SMxfVAy1Ar+fmrVIk4UKE9oA0BcqA4hgVo8sfwg5v/vAIoVrvimpo0xJDUUxpDUlJT+/itOPXGP9wntc6yZZ6BJaO9TH5wOGZqkjoiccQvaPPQSIibMZEKbFNOoREQG6ZAUGYS4UB20Pmx47ON23EiKCMSOzBKsP5GPrDLlVSup6WL8SA2lucePHBVqoZzlxSj5+k0IkCA7at+3pi72vKyK1doKaNt3RtTVdyDhnmcQMmg0RC3L7JF/iBotIi+6BJ1fWoJ2DzyBgHYdPL9ZpYI5M8On5+vatIU1Jwe2vBxIZhMy3noZZ15+Do5y5avHqekRRAGCyg9f3PuI6qDT6fDaa69h48aNaN++PWRZhl6vx6233opZs2bhyJEjmD59OubMmYPS0lLIsozIyEh88MEH2LhxIzp37tzY3wK1ALIsY9meLLy24ThiQ7Q+tVVktCE1IVTRvaEBatwxLhWrHx6DJ6f1QmeF7RBVp1N8GJ6Z0RsrH7oIM4ckQ+PF4GRsWAB8WKQDALh2WHt8/PsZAMAfp4pw00c7sOVEgW+NUpPDGJIaCmNIagqs2Wdx4p+PACo1ZLtvY5DmM2cU71kc2K0PEm57BPH/eALBfYdD0PhexpcIqCjVGxWsQ2psCNqGB0Cr8jylIgAoVjhR+LxgrQpZpSZYHBJsThnbM0qwM7MEdqePgSk1KYwfqaE09/iRe2q3QJaje1C+7mvIVjNUEbHQdOwJ47b1PrWpioiBo8jzvbi1yZ0QNm4KtCldWVKPGoQsSdDv2Y785UthTqu9rLgqLAL2khKfnhc3Yzbyvvuyynl1RBTa3fMQwgYM9ql9ajyV97P5JKEbYtR+2M/GYcfc3KMAuJ8N1c1gMODBBx/Ehx9+CMB9T7jzYdvs2bPx+uuvIzaWqw7IP4qNNry47ii2pxUDAO4d2wlLNpyEyaZ8jySVKMDpcMLh4bKEYJ0a1w9vj+uGt0dIAAchqWHklZnx6ZY0LN+ZWWtZSbUoQFYJPn226d8uAlYZOFVQtVrQlX3a4P6LUxGk4w5hzRVjSGpsjCGpocmyjOJff8bZD9+BZLEgIKUjwnr1RumvP/rUrq5tEmDyfMwmsEsvRE6chcCOXX16LpGnZFlGucWBAoO1zrLkDklGudW3yR7xoVocyK1aLShIo8KgpAjEhnARWXPF+JEaW3OMH5nUbkEkmxX6DctgObDN7XxAz8GwnD4GZ1mxT+3LEAFn7T+ENUkdEDZ2CnQduzOZTY1ClmUY9u1C3vKlMJ84WvUCQYDk4xKbkD4DYDp1As5aVmXHXD4ZbW68DaqAAJ+eRQ2vckD5WdtuiFH7tloRAAodNtx0lgEleWfdunWYPn06rFarK5AURRFff/01Zs6c2ci9o5Zke1oRXvjpqFup8UCNiOl92uLjrWk+tR0drEVeae3l8YJ1Kswe1h7XDU9BWCCT2dQ4CvVWfLY1Dd9tz4DFXnUyR2iQBmYfYkhRAKYMSMKPh/JqvCYxIgD/vKIHeieFK34ONR7GkNRUMIakhuAwGpD17hso/WOz2/noy66E6cAOOMtKfWpfExYIsY7VsAGp3RE18WoEpnb36VlESsmyDL3VgQK9FZYa4sQSs11x9QEAiArS4GSREQ6p5lY6xwSjZ3yYT9s/UeNg/EhNRXOKHzkNvIWw52SgbM0ncJZULV1nObQTgYMuhuGPn316hqjTQTJVn9TWJKYgbOxk6FJ7MplNjUoQBIT2G4yQvoNgPPgX8pcvhfHowb8vUGsAh1V5+2o1ZLu91oQ2ABT+tBr6/XvR7v5HEdy5m+LnEVHrtGvXLvzzn/+ExWJx/VwVBAGyLOORRx5BUFAQJk2a1Mi9pObO6nDi/S1p+G5PVpX3zHYJu7NK0Ck2uNpVpZ4qMtqgVgnVrtYO1Kpw7dD2uH5Ee0QE+f7hncgXMaE6PDSxG+Ze1AFf/n4G32xLh9FakdwWBcBkd/r0OWdMtzj8VEtCGwCySy2456s9uH5Ye9wyMgUaL0pbEhEBjCGpYRgOH0D6Gy/BXli1omPRujWImz4LpT+v9OkZkqyGIFf/szegY1dETboagZ17+vQMIl8JgoCwAA1CdWoYrA4UGGwwV5ocaXVIPiW0VQJQaLLVmtAGgBOFRuQZrBiSFIlwThImIi81t/iRn5KbOVmWYNy+HsVfvlJtQvs8y4E/oe3gW2JNtpohXLC3tiYhGVGz70HsbY8joHMvJrSpyRAEASG9+6PjMy+h49OLENKrHwBAsihPaANAcM9+MBzc59G11uwsnHjyQeR++wVkp/LyrdSIVCIEP3yBg9LkIYPBgAceeADDhw/H7t27AVTMjLz55psRFRUFWZaRmZmJyZMn47rrrkN+vudbgxBVdqbIiLu+2lNtQvu8Y3kGdPfDilGd1n0ebYBGhZtGpmDVvItwzyWdmdCmJiUqWIf7JnTFD4+MxR0XpyJYp4ZKJfr0OScsUIMTBSaPBjUlGfj8z3Tc8flunClUPqGEGhljSGpgjCGpIchOJ3KWfoqTzzxWbUL7vOKNvyCgk2+lwJ16PZwXbIOjS+mMNnc9icT7FzKhTU2KIAgIDdCgQ3QQ2kcFIUhbMX5uqqb6jzcCNCoUGm0eXVtucWDjqQIcLzCAhXmbKcaP1MCaa/zIv+HNmFNfitJv3obht5WAVHspPNlqhuCwQlD7uDj/3GCOJj4JUdfchdjbFyCwSx8ms6lJC+7eGx0W/AfJ981HYIdOittRh0fCcPAv726SJOR+8zlOLHgQ1uyzip9NjUMQBQgqP3yxBBR5YOXKlejRowfeeustOJ1OyLKMLl26YMuWLfjwww9x6NAhTJkyxfUB9ZtvvkH37t3xySefNG7HqVmRZRkr953FP77Y7dEK7PVH8zGyc4xPz7Q6JKjVInRqETeMSMGqeaNx/4SuiAxmMpuarvAgLe4c3xn/e2AUZg5JhtqHn+Ud4kJQYPBuYuXxPANu+XQXvtuVBYkDk80OY0hqSIwhqSFY83Jx4p8PI2/ZV3WOQTrKSuG0S5BF34adJZsTsiRB174T2tz5ONrO+zeCunEMkpouQRAQolOjQ3Qw4kJ1CNSo6r6pBlqViDOlJq/ukWTgQG45NqcVwWjzbR9vaniMH6khNef4kUntZspyYh+KPn4BtozjHt/jyMuErn1nn54rhoYj7OJpiL1jAQK79WMgSc1KxIgx6PzCG0j6x31QhYZ5fb+g00G2eTZD8kKmE8dw7JG7ULT+J0X3E1HLdtVVV2HGjBk4e/YsZFmGIAh44IEH8Ndff2HYsGEAgLi4OHz//ff45JNPEB4eDlmWUVJSgltvvRWXXHIJTp8+3cjfBTV1pSYbnlp5EK+uPwGbh3sDywDSSkwIDVA+MVIAMKxTNL5/YDTmXdYVUSE6xW0RNbT48EA8dkUPLL1rBIanRnt9f9vIQBzJ1St6ts0h4Y0NJ/Dwt/tQ4uEqHSJqXRhDUkMo2bIRxx65C6ZjRzy+x3jkEAI7+bbXtToqBtHT56Dtg88hqDvHIKl5iQ3RoX9SODpGB0Gl4O+uwWaH0nmNhUYb1p8oQGapWVkDRNSiNff4UZBZj6JZke026H9dAfNfW5U1IAhAQAicZSXe3SeqEDL8UoSMmghRw1U11Pw5DHrkfvM5in7+AZDrHtjXxMbBlpvr83MT59wOp0GPuBnXQhUQ4HN75H9ZWVlITk4GAHzZqRdi/fB/XoHdhutPVeztnpmZiaSkJJ/bpJZFFEXXfjUdOnTAxx9/jIsuuqjG67Ozs3Hbbbfhp59+ct0XFBQEg8HQgL2m5mR3egme//EIihQmxlJjgnEos8zr+7q3CcOjE7uiR6LvZcyJGpssy9hyvACvrjuGsyWeDRJGhOpgtns2iaQmSZGBmDsyBQlhAeiXHOFTW1R/GENSY2AMSfXJaTIi6/23UbJ5g6L7BbUauuhISAbvYkhBo0XM1GsQPXE6RA33B6bmz+aUcKbYhDy9Z5V71KKAbL3F5+f2SwxHqdmOfonhUHH1bpPE+JEaQ3OPH7lSuxmRnA4Uf/ma8oQ2AMgyvJ0cpu3QDXF3PIWwcVOZ0KYWQx0SiqRb70aXRW8iuHuv2i8WBNj8sGdEaL+BMJ48hrz/LcXJpx6GraBp7ENBNRNE0W9fRHWRZRl33nkn9u/fX2swCQCJiYlYu3Yt3nvvPYSGhgIAzGbOwqaqZFnGz4dz8fCyfYoT2gBwstCIpOggj68PDVDj0Ynd8MHNg5nQphZDEARc1DUO39w9AndfnIoATe0/3+PCAnxOaKsEATcNb49XN57AIysOYOW+bJ/ao4bBGJIaEmNIqg9OqxXHH7tPcUIbAGSHA06H7NX+viH9h6DTi28jdsrVTGhTi6FViegSG4J+iWEI1dVeAUsAkGfwPaHdNiwAJwoM2Jtdhh+O5sFk821/b6p/jB+pITXn+JF/w5sJ68kDKPvuHei6D/C5Ldmkhzqq7r0RxZBwRE6/FdHX3Q91dILPzyVqigJTOqLTwpfQ7oH50ERVX1JSDAisc8+ouqhCQhHYoTPKfv8NAGBOO4nj8++D4chBn9olopYhOTkZv/zyC9555x0EBwd7fN9tt92GAwcOYPz48fXYO2quDFYHFqw5DAgCokN8n5hYarXDk8/Hk/q0wTd3jcBVA5O4IoBaJJ1ahZtHd8R394zCpT2r/5ykVYkotfq+l+GsQUn4aFs67E4ZTknG67+exGsbTsDu9C02JaKWgTEk1YfCjRtw/OmnED6i9kFuT9iLCiGERtZ5nSYmDsnznkK7B/8JbSzHIKllCg3QoG9iGDrHBkOjqv5zksUpweljXd0AdcWHtqzyiuR4vsGKlYdzUGj0bKU4EbVszT1+VL45HjUIWZZh2rkRxs2rAcgQAoOhSekG+5mjvrVrKIWg1UC22au+KYgIHjIOoRddAVEX6NNziJoDQRAQOXIswgYOQ/6Kr1Gw+n+QHRWDkIJGA6cfSmlEXzoR+d9/43bOUVaKUwvnI+kf9yL6kok+P4P8T1QJEGv4oOFVOxKTOlS7AwcOICwsTNG954PRJUuW+LlX1Jxll5nx9A9HkFlqxsGcctw2PAWv/nIcvoyP2J0yosMDUFBS/cqBTrHBeHRiN/RrV/fAJVFLkBAegP/M7IOrBiXh5R+P4mT+3zGjoBLgdYmsC3RLCMXB3PIqVRZWHcjBmWIT/nVFd0QEsZJWU8QYkhoKY0jyJ1mScPbzT3H2i88AANqoKAR16Q7Tcc/30q6OLS8f6mAdxOoiUZUaMZOmI2bK1RB13KKNWj5BEJAQGoCYYC0ySszILrO4/csos1QzVu+lxLAA7D7rXvbfaHNi9eE8XNQxGp2iPU9iUcNh/EgNpbnHj9xTuwmTnQ7of/kWloPb3c4H9r8I5iO7IJt8TLSp1HCa3QcltUmdED7xWmjiudcCtV7W3Gxkf/oeyndvhyxJ8CkDACBs8DAYDu6HZDbVeE3MpKloO/cOCCqVbw8jn1Xez+brbn39tp/NtUf3AeB+NkRU/w5kl+HfPx1FueXvVaLRwVoMSQrHir98L12sBmA0/912kFaFWy/qiGsGJ0OtYiEoap0ckoTlu7Lw7q8nYXNKkM/tU6ZUgEbEkE7R+DOtuMZr4kN1eG5KT6TGhih+DvkPY0gias4kqxWn/u9FFP+2ye18m2tno3TTj5BMNY9neELQ6qBWSRAqVfEJ7tEXCXPuhK4N/2+j1stoc+B0kQmlZjvKLHZYfazGkxgWgKP5BjhrSfn0bROGQUkRPsWq5B+MH4m8x1GnJkoyG1H63ZIqCW0AMO/djMAeQ3x/iNMBVWDFLEgxKAQRk29C9JyHmNCmVk+XkIgO8xeizQ23QhXm22ozTXQMzOlnak1oA0Dh2pU49eyTcOjLfXoe+ZcgChBUfvhi+V0657777kNJSUmDPrOsrAz3339/gz6TGs/PR/Pw+KpDbgltACgy2nCiyITOcb4nvxyA6/+18d3j8PWdw3H9sPZMaFOrphZFXD2kHb64YxiGdIzxeZBwWB0JbQDI01tx3zd/4bcTBT49i/yPMST5G2NIqk+2oiIcfmRelYQ2AOR8vRQRF03w+RmyzQqnLEKWZagjotD27sfQbv6zTGhTqxesVaNXQijahAX4uqYGwVoV0opNtSa0AWBfTjl+OVEAG7ezaVIYP5K/tdT4kSNPTZCjKA8lX74Ke9bJGq8x/7UFuq79fH+Y0wFdai/E3bUQQX2HQxD4V4LovLgpM9H99f8ifOhIZQ0IAtQRkbDn53p0ueHAXzg+/36YM84oex75XUVAKPrhiwElVXj77bfRpUsXvP7667DbfS8rVhubzYY33ngDXbp0wdtvv12vz6LGJ8kyPvzzDF7ZeBIOqfpBjJOFRsRFBCJA43u8Fxehw+vX9sPzV/VBXBhLRRKdlxgRhFev7YdnJvdAiE7Zbl/d24Tij7Qij661OCQs/OEIPvnzDCQWYWsyGEOSvzGGpPpiPHkSh+67C8ajNW9zmLdqFUL6Dfb5WZLFhtCBI9Bp0RKEDxvNVaJE5wiCgNSYYFzSORbxITplbaAiLjTZnR5dn1FqxqrDuX4pd07+wfiR/K2lxo/MYDYxtvRjKPnqNThLC2u/UHLCnnkSqqg4xc8SgkIQcdWdiL72HoiB3EuDqDrqsHCkPPpPtLvvEYiBQV7dG9ihE8ynTnh1jy0vByeemIeynX96dR8RNQ/33HMPiouL8fDDDyM1NRVLliyB0Wj06zNKSkrw0ksvoWPHjnjooYdQUFCAO+64w6/PoKbFYnfi2Z+O4tu9Z+u8dndmKQZ3iPbpeZf3TMDS24ZhWGqMT+0QtWSX9ojHp7cMxsD23lX9CQ1Q42y5BTK8G4z6dHsGFq45DLPNs4FMImpeGENSfSj543ccfvA+2Apqr/ghWSwoP3gU6uhYxc/SRMWg08IX0W7ek1B5ObZC1FoEalQYmRKFfonhUHk56SNQo0Kh0ebVPaVmO1YdysXZMrNX9xFR89BS40fuqd2EmP/aCv2G/wGy56U/xPBoOMtLAKej7osr0XbojrCJN0AVomxDeKLWyJqfi4zF/wfjkYN1XquJjoG9qI7JKbURBLSZPQdxM67l7OUGVnk/m+/6DUCcVtks2crybVbM+msPAO5nQ8C6detw22234ezZsxAEAcHBwbj22mtx7bXXYvTo0dBoNF63aTab8fPPP2Pp0qVYvXo1LBYLZFlGQkIC3n77bUyfPr0evhNqCgoMVixcewQnC737YJIaFYSDZ8u8uidEp8JDl3TB+G7xXt1H1JpJsoxlu7Pw7qbTHpV4jI8IQLFZ+Sz6jjHBeH5yTySEs4JCQ2MMSfWNMST5iyzLyF32LTLe/y/gxbBwQLt2kMrzIUjelSwOHzoSyXfNgzqUY5BEntJbHdiZWYISD+LCALWIHL1V8bMEAEPbRaJnfCjHIBsY40eqby0xfmRSuwmQJQmGTd/DvOc3RferouLgKPSsvDFUaoSMmYKggWNYapxIAdnpRP7q/yF36aeQHdVPJhFUqorVNV5ONqlOwuw5iL9qNoPKBsSAkhqCyWTCwoUL8cYbb8But7v+jQcHB2P06NHo27cvevfujW7duiEqKgrh4eEICQmB1WqFXq9HVlYW0tLSsHfvXmzfvh1//PEHbLaKWdmyLEOr1eLOO+/Ev//9b4SFcfCopTqer8cza4+g2OR9AkwtCtAJQJHBs9n8vRPDsGBSd7QJD/T6WUQEnC4w4tk1h3Ei31DjNXFhOpRYfY8fI4M0+HzOIATrvB+gIOUYQ1JDYAxJvpLsdpxZ/DoKflqr6P6gjh3gKMjyaIxC0OrQ9uY7EX3pRI5pECkgyTKO5utxNN9Q437bolCx4trphwzP8HaR6MHEdoNi/EgNoaXFj0xqNzLJakH5mk9hSzvsUztiWCScpbXvu6aKikf45LnQxPM/MiJfmc+cQvrri2DJTK/ynhgQCMnie+keTUws2lw7B8W/bUSH+U9DFchEQkOoHFAu6z8QcTo/BJRWK2bu3Q2AASW5S09Px7///W988cUXrv1tlHyAPB/O6XQ63HDDDViwYAFSUlL82VVqYracKsT/bTgBq8O7lTKVBWtVKNFbUNtiG1EA5gxLwQ3D2kEtckIkkS/sTgkfbk3Dl9syqgxMButUsMqyXwYRbx+ZgkP5Bkzt3QaD23lX/pyUYwxJDYkxJClhLy/DiX89A/3+fT61E9i2DSR97WOQgR06of28xxGQ1M6nZxERUGyyYUdmCYzVbDNj9WIf7dqEB6jROSYYxwuMmNGrDdQqfvZrCIwfqSG1lPiRSe1GJDsd0K//DpYD2/zToEYL2Wqp9q3AviMRevEMCBqtf55FRJBsNuR89TEKVi93nfNXQlvQ6pA453ac/WAJZIcdwV17oOM/n4M6JMTntql2lQPK5YMG+y2gnLFrJwAGlFS93NxcvP/++/jss89w6tQpr+/v0aMHbrjhBtxyyy2Ii4urhx5SUyHLMtJLTLjrm78g+SGKD9OpkV9a/c+thDAdnprUA73bhvv+ICJy2ZdZiud+OIKcsr8/u6k0IkTR94T2pd3iYHQ4sT+7HCpBwCPjO2NUx2if26W6MYakxsAYkjwl2e049cLzKN6irErkhbQRwRCk6qsFxU6egTbX3wyRY5BEfuOQJOzPKUdascl1TpaBUovybWvO06gE9EkIx4/H8iDLQEpkEGb1TYSWie16x/iRGkNzjx+Z1G4kzvJilH//HgIHjoPhj3WQymqf4egRQYDsdJ+ZJQQEIWzidQjo3Nf39omoWvoDfyHjzf+DvbQEcPo+OxIA4q++EfnLv4Fk/XtPnMCOqUhd+ALUYUwu1CcGlNTYDh8+jF9//RU7duzAsWPHkJGRgbKyMlitVgQGBiIsLAwpKSno2rUrhg0bhnHjxqFz586N3W1qALIs45u9Z3E8X4+O0cH4fGemX9oNVIsouWAPtou7xuGhSzojNIDli4nqg9HqwBvrT2DtwVyo1QIEPwwadk8IRWxYAPZklbrOiQLwwJhUXNwl1uf2qXaMIamxMYakmpgyMnDkkUeRfOstyProfdiLfR+DFFQqqHUCRPXfP7/UEZFod+8jCOs/yOf2iah6OeUW7M4qhc0pocRsr7EsuTf6JIRh48lCOCuliZLCA3BNv7YIUKv88ASqCeNHamzNMX5kUrsROMuKULZ8CSR9CSCKCBo5BcYtayDbql9l7RVRBdlRMUNL064zwq+4CarQCN/bJaJa2UuKkfbyszAd9W0rAQCIuvgylGzdDMlsqvJeQHJ7pP7rRWiiuOKmvlQOKFcMHeK3gHL69h0AGFASkTKyLGPp7iysPJgDAOjdJgwaUcDGE4X+eYAkw2J1IFCjwrzxnXFZj3jupUbUAD7+4wy+2ZMJq8O3j+UxwVr0SgrHrszSat+/a1QHTOqR4NMzqHaMIYmoKTKdOYODDzwAe1ExBK0WHe67F1kf/tdtAr1SolYLtVaGIAoIGzAEyfc+DE14hO+dJqJaGawO/HqqEHkG3/8dd44Jxrb0EjiqKQOWEKrD7P5JCNIwsV1fGD8SeY81JBqYs7QQZf97pyKhDQCSBNPvqxE05GLAHwOHkhOCRovgi65E5NX3MqFN1EA0kVHo/OwriJ95nU/thPTsg5I/t1ab0AYAS2Y6jj/5MGz5eT49h4iImg9ZlvH5rkxXQhsADuSUwyHL6BHvp20pRAHJ0UH44MaBuLxnAhPaRA3k5hEpeOfaAUgIUz6ApVWJ6N42rMaENgAs2ZqGFfuzFT+DiIiaH+Pp0zh43/2wFxUDAGSbDWfefAvxV13jl/Ylmw1OpwqJt9yFDk/+mwltogYSolPjiu7x6Bkf6lM7iWE67MioPqENALl6K77YnQmD1eHTc4iI/IlJ7QbkLCmoSGgbSt3fkJww79qAwL4jfX6GEBCE8On/QMiwyyCI/OMlakiCKKLN7Dlo/9CTELTeD0xq2yTCdOYMJIOh1utsudk4/uRDsGSfVdpV8pAgChBUfvjywx6ZRNQ6ybKMT3dk4IdDuVXe259djugQHeJDfd+v8JKusXj/+gFIigzyuS0i8k7HmGC8O3sA+iUp22Kmf7sI7M0qq/O6j7alY+nuTLBYW/1jDElEjc148iQO3n8/7CUlbuclmw1nv/wKMRMm+vwMdUQkuv7nJcRdMY0TIokamCgIGN4+CqM7RENJuBARoMGRPANsztrjwgKjDZ/vyUS5H/buptoxfiTyDLOeDcRRnIey5e9AMtYw2CA5YT22C7rU3oqfoYqMQ+R1D0KX0k1xG0Tku8iRY9D5+VehifF870JVcDCcBhOc5XUPSAKAvbAAJxY8DHPGGYW9JE+IKgGiSvTDFwNKIvKeJMv4aHs6fjxSc3WOAznl6BQbgiCt8pJwtwxrj0cu7oxAjVpxG0Tkm/BADf5vem9M7dPGq/t6JobhUJ7e4+u/2p2FT3dkMLFdzxhDElFjMhw/joP3PwBHafXjC5LFgvyf1yPUh72vAzt0RK+33kFoL+XjmETku66xIbiiWzwCNZ6neQLUIrJKzbA4JI+uLzbZ8dnuTJSYbEq7SR5g/EjkGSa1G4CjKLdiD21jee0XOh2wnz0BdZt2Xj9D064zIq9/EOqoOIW9JCJ/CuqYii6L3kRwt551XyyKgEoDR2lJ3ddW4igpxokFj8B06oTCXhIRUVMlyTI++PMMfj6aX+e1h3P16Nkm1OsZ+jq1iH9e1g3XDEji6hqiJkCtEjHv4s54aHxnqDz4B90uKhBnSqrfsqY2/9uXjf/+ngaJiW0iohZHf/RoRUK7vPYxSMlsRtnefQhol+L1MyKGDUfP19+ELj5BYS+JyJ/iQwMwtUcbxATVXcFLFIASsw1Gu9OrZ5RZHPhsTyYKjb7v401E5AsmteuZozAHZcuXQDZ5OHve6YBUWgAxPMrjZwT0GYGIq+6CGMBykURNiSYiEp0WLkLUJZfXep0qJAyOEu8S2uc59eU48c9HYTh6SNH9VAd/lP1RCQBnSRKRFyRZxnt/pGHD8QKP7zlRYESvxDCPr48O1uKVab0xqlO0ki4SUT2a3LsNXpnRG+GBmhqviQzSoMhsVzwh5YfDeVj82yk4a9hDkXzEGJKIGoH+0CEcmvcgnHVsaXaeZDbDnJkNdaTnY5AJM69Gl4XPQhXEMUiipiREp8aV3ePRMar2f5sWu4Ryi3cJ7fMMVic+352FXL1F0f1UB8aPRB5hUrseOQrOomz5O5DNngWTLk47YDdDCAis40IBIWOnIfTSqyGolJecJKL6I2o0SL5zHtreenfFiuwLqIJDFCe0z5NMJpxa+AT0+/f61A4RETU+SZKxZOtp/Hqi0Ot7M0rM6BwbXOd1qbHBWHxVH3SOC1HSRSJqAH2TIvDu7P7oGFP137ROLcIqyT5XWNhwvAAvbzwBh+RZ6UkiImq6yg8cwKEHH/I4oX2e02SCvdQAaHW1XieoVOjw4MNof8ddHIMkaqLUKhHjOsVgcFJEte87JRklZt/2xjbZnfhyTxbOlpl9aoeISCkmteuJIz+rYoW2xftycBUN2CGIAMTqA0VBo0P49NsQNGgcy0USNXGCICB20lR0evoFqEJCXedFXQAc5Z7vgVgbyWKB8ehhmNPP+KU9qiAKAkTRD1/8f5qIPOCUZLy19TQ2nypS3EaB0YakiJonRo7sGI1XpvVGTEjtA5dE1PgSwgLw1jX9cFFqjOucAEBQVcQX/nCq0IAT+Qau2PYzxpBE1JDK9u3DoYcehtOkbAzSaTJBtkmoaVcKVWgour74f4ibdKUPvSSihiAIAvomhmNC51hoKsWLsiyj0OifPbEtDglnyyzI44ptv2L8SOQZJrXrgT0vA2Ur3oVs9XHGksMOUaepGLmoRAyNROR1D0DXqZdv7RNRgwrt3Q9dFr0JXVI7CGoNnCb/zWqMnTwD+qNHcPTRB2A6fdJv7bZ2gkr02xcRUW0ckoQ3N5/C76eVJ7TPM9gciAmpup/aNQOS8NRlXRGg4eoaouYiUKPCM1d0x9xh7QEAWq0ItZ/iiphgLWYPTMZrv53C57syIXOPbb9hDElEDaVsz14cfvgRSGbfxhecZjNkqCFfMMkpoG0Sei5+G+H9+vvUPhE1rHaRQZjSMwGhOjUAoMDgn4Q2AIxKicKOjBK8sfk08vXcY9tfGD8SeYZ/w/3MWV4Ee9Zp3xPargYdEHU6V2Jb3SYFUTc8BHVsW/+0T0QNSpfQBp0WLkJA+45+azP6konQHzmM8p3bIZlNOLFwAax5uX5rn4iI6pcky0grMuFkgZdb1tTCIckID6wYwFCLAh65uDNuGdaes7aJmiFREDBnWHvceVFH6NT+mZQSEajB1N5t8NmuTNicMjadLMSqg4wfiYiaE1NmJkp374Zk8c9qSclicUtsh/Xrj56L30ZgUrJf2ieihhUZqMXlXeKgAuCvqYuDksKxPb0EJwqMMNqcWPJHGsosvpU0JyLyBpPafiTpS6Ff8S6cOacROORSPzbshKjTQtupFyKvuRdicJj/2iaiBqeNjELnZ/8PYYOG+txWxIiLUHZgP0zHjrjOOUqKceKZJ+AoK/O5/dZOVAl++yIiqsmK/Tl4e2sarh2YjOjgqiuslRIEAZFBGiya2guXdovzW7tE1DiuGZCEBZd1g8bHuCJUp8bFXWLx/cFct1KzKw7kYNPJQh97SQBjSCKqf6Yz6dgz9zboj51EwqyZfmtXslohSSKiLh6Pri+8BHUYxyCJmrPwQA2uG5CM9rVsUeWpnvGh2HamBGfL/p5IU2yy479/nIHF7vS5/daO8SORZ5jU9hPJaob+h48hm/RwZB6HM+MoAvuP8Vv7uh5DETb1Vghqjd/aJKLGI+p06DD/aUSMGK24jdD+g1B+cD9s2VlV3rOezcLJZ5+C0+K/EuetkSAKEFR++PLTvpdE1PJsOlmI9ScKYHVK+GpPFib1SEBUkH/ivchADV6c3BO92nAwkqilGNI+Ek9f1g06tbKP8kEaFQa3j8Rvp6rf6uDTnRnYm1XqQw8JYAxJRPXLVlyM/Q88DEdZOQo3/YbSvQcQN2Wy39pPnDUTneY/CVGt9lubRNR4dGoR1/Rri07RQYrbSI0Oxo70EhSbqq7KPltmwYfb0+FwSr50s9Vj/EjkGSa1/UB2OmBc9wWkkjzXOWdRLuxph6DrNczn9gP6jUbIuKsgivzjImpJRI0GKQ8/iahxl3h9b3C3HtAfOghHSUmN1xiPHUXaS/+B7ORsSaKmbODAgbjllluwePFibN68GWWsstBq7M8uw7d/nXUdywB+OJKHER2jERnoW2I7KkiDpy/vhpToYB97SURNTb+kCPxrUncEabwrRa5Ti+jRJgz7sstrvEaWgXd+T8MJP26HQET1gzFk6+S0WHDgocdgOft3DKk/eAhFf+xAzKW+V41Mvnku2t91F8cgiVoYjUrEzD6J6Bob4vW9SeEB2JVRAqOt5vHF4wVGfLknC5Lsr0LnRFQfWkL8KMgy/6fxhSzLMG38Frbje6u/QKODOikV1uN/KWo/sP8YBI2aDIH7HxK1WLIkIeu9t1D40xqPrg9o3wHm9AzITodH10dfejna3/cQ/x/xUFZWFpKTK/YMW3fFWMQHBfjcZp7Jgst+2AQAyMzMRFJSks9tUsshimKVf5/t27dHv3790LdvX/Tr1w/9+vVD+/btG6mHVB/Si0149bdTsNUwm71HfCgOnC1TtD9ZdLAWT1/WDQlhvv//RURN14kCA55ZewR6a90xoUYU0Ck2BAVGm0dtB2tVWHBpVySG8/8RTzGGpIbGGLL1kZ1OHJr/JAo3ba72fXV4GKIG9UfJ778raj/51lvQ7uabfekiETVxkiRj9ZFcHMzVe3R9bLAWR3L1kDzMII1NjcH03m186GHrwviRGlpLiB9ZR8ZHlp3ra05oA4DdCkf6EWhTusF25qhXbQcOvBhBIyYxEUXUwgmiiKQ77oOoC0D+ymW1XquNT4ApLQ3wYj5S0S8/QRsVjcQb5vrYUyKqLxfOMTxz5gzS09OxcuVK17nw8HC3ALNv377o2bMnNBpuTdLcFBqtePv3tBoT2gBwOE+PlJggpBUaUW7xbBITUDHo8PTl3REXqvNHV4moCescG4L/TO6Bf/5wBKXmmifAqAQgMSLQ44Q2ABhtTrzy60k8NaELIoO0/uguEdUDxpCty8nXF9eY0AYAR1k5Crb8+f/s3Xd8HNW5PvDnzGxf9WrJknvvBVwAF8AxmGK6CWCCAwFyQxLCpeQXIAmEEJJwSQMSCIQWQi+O6RgwYGPjhsEd9yJbvUurbTPn94dsuansamarnu/n7mWtnTl6RcT62Tlz3oPMCePR+HUn1yrb0ffGG1B09dVGSySiOKcoAnNH9IJVUbDuYOcrNNPsFmwqDW3y+7BPd1Qh3WHBGYNzjZRJRBGU6PmRk9oG+LaugXftx10fqOvQDuyEtaAfAqV7QhrbefIsuKaczQltoh5CCIHCBddDcThQ9vLz7R5jyciC92Bpt8Yvffk/sGZnI3eOefts9QRCBRTV+PuwCK87KPUwX331FbZu3YrVq1fj0UcfRSDQOjFxfMisq6vD559/js8/P3Ihy2KxYPjw4W0h83DQzMzMjOrPQKFr9gfx6LLdIa2s3F/nRV6aA1J6Qzo+L8WOX509DLkpnNAm6in6Zbnx+/NH4u53NqOqnUlrIYCcVAeaOmkX2ZFqjx8PfboDv5g1BG4bLx2EgxmSooEZsmcpefFlHHjxlS6Pk34/ar5cjbRRw+HZvi2k64p9f/Q/KLrySjPKJKIEIITAnGF5sKoCq/bXtXuM06JgR2Vzt8b/78YypDmsOKk4o/tF9kDMjxQNyZAf+cm0mwIl2+H57I2wztGrDsCS3QvB6rJOj3NNng3X5LOMlEdECUgIgYIrvgfF4cDBZ5885jXFnQJ/dbWh8fc99ggsGZnInHqaoXF6EqEICMWEQGnCGJS8xo0bh8rKSvznP/9BIBCAlBIjR47EyJEj4XA4UFdXhz179mDjxo3Q9WNX9gYCAWzYsAEbNmzAv//977avFxUVHRMyx40bh/79+0f7R6PjBDQdjy/fg7JGX8jn1HgCSHfZICHR5Ot4Uio/tXVCO8fNCW2inqZ3hhO/nzsSd7+9+YT3lwynDcFQ+0W2o6TOi4c/34VbTx8Eq8r9VUPFDEnRwAzZc1Qu+RQ7/vTXsM5p2LgFrn594S8t6XRiu99Pfozel19utEQiSjBCCMwanAurquCLPTXHvGZVBPbVtBga/4W1JUixqxiWl2ponJ6E+ZGiIRnyIye1uyFYXYqm958H9I5bRnZENlTDkp6FYH1Nu6+7ps6B6+RZRkskogSWf9E8KHYHSv75CABA2O0INoTX7qdduo7dD/4O1vv+iJSRo4yPR0Sm+Pbbb3HxxRfD4/Fg0KBBeP7553HyySefcFxTUxNefvllPPzww1i/fn3bxanj76YEWvdlKikpwdtvvw2g9QNrMBh6C2syny4l/r1mP7ZXhX+3uyegwWW3QkC0u2K7IM2BX501DFlutggm6qnyUx34/dxR+OU7m7G/rvUiZKrDAsWEi1pbK5rwzxV78D+n9ofCTmJEcYMZsmeo37ARW+7+dVhbkB3m2bMX9rxcaPU17U5s9//ZzSi89FIzyiSiBCSEwMyBObCpCpbsrAIAKAAO1nnR/VsiW2lS4qmV+/CTaQNQnOE0XCsRmSMZ8iNvtQ6T3lSPpneeBgKhr7A5nvQ0QnWfeJeS65RzOaFNRACA3HPmovim/4WwWqF5vKaNKwMB7Hn4IUgt/BaUPZGiKFBUEx4K/7qljv31r39Fc3MzbDYb3nvvvXbDJACkpKTguuuuw1dffYUHH3wQqqrCZrPh97//PR555BHccMMNmDx5MtxuN6SUJzwott7aVIbVHbR2C0VQl7BaVaTYj70ntTDdgV+fzQltIgKy3TY8cP5I5Kfa4bKpsFnM6z24el8d1hh4D+tpmCEpGpghk19LSQk23nI7dN+J20uEyldRCdhdJ/xvOeDW/+WENhEBAE7pl4VZg3IAAOWNPsMT2of5gjpeXneAf5eEiPmRoiEZ8iNXaodB+r1oevcZyOYG44P5vVAdTmje1rvo3afNhXPCDOPjElHSyPnO2dB9Pux//BHTxrTl90LhFd/D9l/9Pwy8616oLpdpYxNR93z88ccQQuD000/HgAEDujxeURTceuutGD58OC666CL85je/wZIlS/CjH/0IQOtdkzt27MD69evxzTfftD0odpbtqsb7WytMGctmVZEmgAZvEEUZTvzyrGHIcFpNGZuIEl+604rfzx2JBz/ZgfIwtjroygWjemFHZRMEgJP7cM9donjADJncAnX1WP/T/0Wgrs7wWMGGRigOBxQ9AKEqGHj7beg1d67xIokoaUzum4UGbxBvby43bcz8VDtO7Z+JBz/Zjp/NGASbhZOtRLGWDPmRk9ph8Cz9L7TqUvMG1IJQbXbYx5/OCW0ialfeeRcg2FCP0hf/3fXBXXAOGISMSVOw+0+/B3Qde//2EPr//O5O99fq6YQqIFQT9rMxYQxKXgcOHAAA9OnTJ6zzzjnnHNxzzz246667sGDBAqxbtw42mw1CCAwePBiDBw/GJZdcEomSKQwldS14cV2JqWNaLCp6Z1jx67OHIc3BCW0iOlaO247bTh+E3374Leq9xtq+KQK4eEwhtlQ0orTBh29KG9A7w4nCNIdJ1SYnZkiKBmbI5Lb13t+iZd9+08bTvV5IqwWDf/pTTmgTUbtmDclFoy+Iz3ZWGx6rX5YLvdPs+Mey3ZAA/r1mH66b0s/wuMmM+ZGiIRnyI2+PCZH3m89h6TccSkauqePaJ8yEa/J3TB2TiJJLwRVXI+escwyNkTJ6LGzZ2Sh96XlA1wEAtV98jsq3FppQYfISqmLag6gjDkfrxEBlZWXY595yyy3IyMjA1q1b8fLLL5tdGhlU4/FjY1kDzhqaZ+q4WS4rfjl7KCe0iahDuSl2/O/MQXAYWBFjUwXOH9kLX+ypQWlD66rvgCbx7Kp98Aa4lU1nmCEpGpghk9fux/+F/HPmwFFYYOq4/X/0QxRexpbjRNQ+IQQuHF2A8b3TDY0zPC8F/kAQb20qa2tl/umOKnx+aN9uah/zI0VDMuRH/oaHILDvW3hXvo+WT16BbdAYqL36mjKubch4OE/mhDYRdU4IgT7/81OkT5rSrfPTJp4Mf2UF6levPOG1/U89jqatm42WSEQGDBw4EFJKLFu2DFqY+907HA7MmDEDUkq8+OKLEaqQuiOoS7zy9QEs212DknovLhlTAMWEG6adVgU3nToAmS7uoU1Eneub5cJPpw+A2o03nxSbiqn9srB0dw18Qf2Y1yqb/Xj5a+6PSBRrzJDJqfz9xdj96OPY9P9+ifzzzoN72FBTxi287BIUz7/SlLGIKHkpQmD+xCIMznF36/yRvVKxpbwBG8saT3jt2VX7sK/WY7REIjIgGfIjJ7W7oDfXw/Ppq61/kDp865ZAsdlh6T/S0LiWwgFwzbyEbX+JKCRCVTHg9rvgHjYirPPSxk9Ew/qv4S/rYOsETcOuP/wWgfo640UmISEUCMWEh+Bft9Sx888/HwBQVVWFJ598Muzz8/PzAQCbNm0ytS4yZvG3FSip9wIADjZ4sWJvLc4f2cvQqklVCNwwtR8K09n2l4hCM6JXGq6fEt5N2ZkuK/pkubChnYuRh31zsAFLdxlvTZmsmCEpGpghk49n335svfd3AAAZCGD3I4/BnpWNzCmTDY2bPe00DL7tFl6DJKKQWFQF103pi95hfu4ckuPG8t3VqPEE2n3dr+l4+POdaPGz4097mB8pGpIhP/I3vBNS19D88cuQ3mPvIAoe2AG9qgS2weO6Na6SmQf32VdDqNzSnIhCpzgcGPTL++AoKg7peNeQoWhYtxYItB8mDwtUVWLPQ7+HDPPuLCIyx/XXX4/U1FQAwG233Ybly5eHdf7+/a177VVUVJheG3XP1vJGfLGn5piv+YI6lu2uwaQ+mch0dq9t+PyTijAsL9WMEomoB5nSLwtXTOgd0rF5KXa4rCrKGn1dHrtoUxn21HC1DVGsMEMmF93vx6bb74LW3HzM16s+XYrmHbuRffrMbo2bOmI4RvzuNxCqarxIIuoxnFYVN57SD1murj+7CgB5KTZ8ubcGmt55J5+yRh+e+HIPO/4QxUgy5EdOanfCu/YTaGV72n1NehoR2L0B1n4jgDDudBSuVKSc+30odqdJVRJRT2JJS8Ogex+ANSurw2OEqsKamwfPtm9DHrdh3VqUvvwfM0pMKooqoKiKCQ/eEU8dy8/Px/333w8pJTweD2bNmoW//e1v0HW9y3N37dqFTz75BACQlpYW6VIpBHUtAby+4WCHr28qb0R+qh2Fafawxj1vRD6m9O34vZ+IqDNnDcvH2cPyOj0mP9WOgK6jJdj13z8AoEvgudX70OQLmlFiUmGGpGhghkwuO/70NzRu2drua96Dpaj6+FNknXJKWBNBjsICjPrTg1CdvAZJROFLd1jxw1P6w23r+KYYiyKgKq03dodq9b5afLCVN1Qdj/mRoiEZ8iMntTsQKNkB37pPOz9ISgT3b4WaUwCoIay4sdiQcs4CqKmZptRIRD2TPS8fg+55AIrLdcJrwmYDLBYEKsMPh6UvPY/6r1abUWLyUBUIEx5Q+dctde7HP/4xbrnlFkgp4fP5cMstt2DEiBH4y1/+goMH258gXb58OebMmQOfzwchBKZMmRLlqul42qF9tFsCnX8YqGz2QwfQP+vE9/H2TO2biXOG55tQIRH1ZPPG98aUvu1/Fs122+DX9LBb09Z5g3h+7X7oXG1zLGZIihJmyORQ8dESlLzwSqfHyKCGqk+XImXwEMDa9TVIS2oqRv/1T7DnZJtVJhH1QPmpdtwwtR+s7UyU2lSBhpYAKkLo8HO8l74qwbbKJjNKTB7MjxQliZ4fhWSvhxPongY0vv4wZEtz1wcfIuxOSF2e0Kr8yAECKXOugbXvMJOqJKKernH919j+6zshg63txRW7Hbov/CB5NDU1DSP++g/YcjtfyZPMSkpKUFzc2uL982vORUFKaJNOnSlt8mD6s+8AaG3TUlRUZHhMSk7//Oc/cfPNN7eFxMP69euHwYMHIysrCx6PBxs3bsTu3bsBAFJKCCHwwQcfYNasWbEqnQB88G1F2HvMpjss2FXdcfveYXkp+PFpA6AqvNuaiIwLajr+/NlObDpqv+x0hwWKIgzttTp7aC7OHtazb75hhqRYYoZMXC0lB7D68qsRbAx9csealQmpB6F72s+QwmrF2Ef+goyJE8wqk4h6uI2lDfjXyr043F3cqgpUNvoM3diY6bLivnNGIN3Rve25kgHzI8VSouZHbup8HKnr8HzySlgT2gAgfS0AAOFMgWw5MYi6pl3ACW0iMlXqmHHo978/x+4H74ewWg1PaAOA1tiAXX+4D0Me+BOUEO7+TnZCOXSXownjEIXihhtuwKRJk3Dbbbe1tfQBgD179mDPnj3HHHv0fYk///nPeTEyxrZVNoU9oQ0A9d4gijOcOFjfAu246wG90x24YWo/TmgTkWksqoIfTxuABz7ahn21LXDbVMMT2gCw+NtK9M10YXh+qkmVJjZmSIo2ZsjEpAcC2HTH3WFNaANAoKYWUBRYM1IRbGw84T182K/v4oQ2EZlqVEEa5o3rjZfWHYAigIpGL4wulaz1BPCPZbtwxxlDoPAzL/MjRV2i5kf+hh/Ht24Jggd3dX8AvwfCcewdNfZxM2AfyXZORGS+rGkzkH3mbEi/37Qxm7/digNP/9O08YgoPOPGjcNHH32Ezz77DFdccQWysrIgpTzhAQBDhgzBiy++iN/97ncxrrpna/AG8No3He+j3RVPQEO22w6n9Ug0T3dY8KNT+8Np7Xj/MiKi7nBaVfzotP7IS7HBblUNT2gDgATwwlclqPWYl0mJKDzMkIln518fRcPGTd07WdcRqKmH6nQfc6G5/49uRP7ZZ5lUIRHREVP7ZWFEfgqqm3yGJ7QP21TWiDc3dP+zNBEZk4j5kSu1jxI4uAverz7p+sAuB/JCWK2QgQCsg8bAOYVhkogip+9Pb4Xm8aBu+VLTxqx4ayEyp5+OlGEjTBszEQlFMeUOx1jeJSmlxGmnnYbly5fj6aefxoIFC2JWS1dqamrw6KOPYtGiRdi2bRv8fj8KCwsxdepUXH/99ZgxY0a3x960aRPGjRuHYDCIRNl5Zdq0aZg2bRp0Xce6deuwd+9elJWVIRAIIDs7G+PGjcOoUaNiXWaP17qP9kF4ApqxcaSEy2aBTdXhDeq46bQByHLZTKqSiOhYvVId+NFpA/DIsl1tbSSNavZreHNDKa6d3NecARMYM2R0MUMeixkyMVR9uhT7n3vB8DjBhkYodhukFkThJReiz/evMaE6IqL2XT+lH+pbAthQ2mDamP/dUIopfbPQO8Np2piJiPkxupgfj5VI+ZGT2ofoLU3wfPIyTLvNSNegZuTANfMSCMEF8UQUOUII9Lv5VmzZswu+gweMj2exoveCH6B6ycew5ebBlp1jQpWJSagKhGp8laQZ7YO663e/+x2WL18es+8fqmXLluHSSy9FeXn5MV/ftWsXdu3ahf/85z+4/vrr8eijj8IaZmt8j8eDq666CsFg0MySo0ZRFEycOBETJ06MdSnUjiU7qrCntuM9scNlURVcOCwPxT38Az0RRV6/LBfmjuyFhRvLTBlvYI4bE4vTsXp/LU4uzjRlzETFDBk9zJAdY4aMX96ycmz+5b2mjaf7/HAP7I9Bd9xqSvcNIqKOKIrAD0/tj1++uxk1noDh8WyqgismFGHhhlJ87+RipPbg/bWZH6OH+bFjiZAfOakNQEodniWvQnoaTRtT2Bxwn3cdFKvdtDGJiDqiutwY8P9+ha23/RTS3/29tW15vZB3/gUoe+0lBKqrEaiqxMC77+UH4wT19NNP45e//GWsy+jSxo0bcfbZZ6O5uRlAazubuXPnIjU1FWvWrMG7774LTdPwxBNPAAD++c/Q2+N7vV5ccskl+OabbyJSO/VsO6ua8dnOKlPHnD4gGzMH5Zo6JhFRR6YNyMbuGg++OWhstc30AdmQkHh7SwUUAfTJcCE/lZ+FExUzJDMkRY4eDGLTHXchWG/eKkdbdhbGPfEo1DAvvBMRdUeaw4ofTxuI+z/8FpqBBYIFaQ6c0i8L/1qxB/XeIHwBDf97xmATK6VoYn5kfowWLiEGECzfB0ufoYBq3hy/c+alUFN79t3pRBRdrv4D0PdHP+32+anjJ8I5YCD2//MfCFRXAwDqVnyB2mWfm1Viwmm9S9KcRzRJKfHb3/4W1113Xdy3uZFSYsGCBW1h8sYbb8SmTZvw4IMP4le/+hUWLVqEJUuWID09HQDwxBNP4IMPPghp7NLSUnznO9/B+++/H7H6qefyBjVokCgycUV1nwwnzhzMCW0iih4hBC4f1xu57u5td+C0KvjOkBzsrvVgc0UTAECXwDtbyqCb1dc8ATFDRh4zJCWqurVfI3vmNAiL8dV4AAAhMOKB38Ce03M7rBFR9A3OTcEVE4u6ff74onS4rCr+ubx1QhsAPtpWibX7a80qMeEwP0Ye82Ny6PGT2npTHVoWP4/Ali/hPOVcKOnGQ6Bt1FTY+vXsfWiJKDayz5yNnNlzwjtJUZA5bSaav/0WdV+cuC/3vn/8DcGGepMqTCyKUKAoJjyiuA1FeXk5zj33XPzyl7+M+zAJAIsWLcLatWsBAGPGjMHf//53WCzH3mQ2bdo0PP30021//tWvftXluIsXL8b48eOxbNkycwsmOuSLPTV479sKDM5145S+WYbHc1pVzBvXG6rCzhhEFF0Oq4prJvWBVQ3v/acgzY6heSn46mADPAHtmNdKG31Y2YMvSjJDRh4zJCWi5p27se7Gn+LgG29h8M9vg6OwwPCY/W64FllTJplQHRFReGYPzcOkPuEt6lMVgZOLM7BiVw1W7T0xK/7ts53w+LV2zkx+zI+Rx/yYHHr0pLaUEt4VbwNBP2RTHXxfvgNLXm9Y+nd/w3M1pzeck8OcUCIiMlHxDTfBOWBgSMda0tLhGjQUNZ9+Aq2x/fZnwbo67Hv872aWSBHQ0tKC3/72txg0aBDee+89AEBqaipmzJgR48o698wzz7Q9//nPfw5FaT+aXHTRRRg7diwAYNWqVdi2bVu7x3377be44IILMHv27La9cSZPnowcrlwgEx2ob8HG8tZtazaUN6K02YvZQ/PgsnZ/xc0lowuQ4WTLSCKKjcI0By4dUxjy8UNy3YAA9td7Ozzm813VqPb4zSiPIogZshUzJEWa1HVsufcByEAAnt17sfU3v0fauHHInn5qt8fMOGkC+v/wByZWSUQUOiEEfjClH3qFuOVMhtOKbKcN72+pQHMHE9eVTX48s3KvmWVSBDA/tmJ+jI0ePakd3LMJwZJtJ3xNr9gL27CTwm9HbrXDNeu7ECa2MSciCpdit2Pg//sVVLe70+Pshb2heX1o3rKpyzFrlnyEutUrzSoxYSRS65+XX34Zv/zlL9HU1Nr6c8KECVixYgVmzpwZ9lhSSrz22muYN28e+vbtC6fTiYyMDIwePRq33HILtm7dakrNwWAQH3/8MQBAURScddZZnR4/Z86Rm8befPPNdo+58cYbsWjRIgCtH7B+8pOf4NNPP4W7i/8eiEIV1CU+Pm4f7Sa/hnWl9RjeKxXFGY6wxzy1XxaG5aeaVSIRUbec3CcTU/p2vtrGogj0y3KhuiUAv9b5aoygLvHulvKEWLVhNmZIZkii4x18YxHq1q475mtlb72Lum82o9f55wKW8K4lWjMzMPKB30CoJrUxJyLqBqdNxU9nDIKti8ySn2pHSW0Lthy6Obwzb28qw8bS9hfeJDPmR+ZHCk2PndSWvhZ4V77b/ov+FgR3fg1LbiGU9OyQx3RNvwhqWujHExFFir2gEP1+dkeHr1tzcuHdvx96iyfkMfc+/GdonmYzyqMIysrKwp/+9CesXLkSI0eODPv8vXv3YvLkybjsssvw6quvYt++ffB6vaivr8fGjRvxl7/8BaNGjcKdd95p+CL19u3b0djY+oFm8ODByM7u/O/QKVOmtD1fubLzmywmT56MZcuW4W9/+xscjvAnGYk6srakDrUtgXZf21ffAk0AowtTEWoT36J0B74zNM+8AomIDLhodAF6p7f/92aq3YJ0pwWN/mDI4+2ra8FXB3rmNjaJhhmyFTMkRYKvsgrbH/pbu68FampwcOHbSB0+HPZevUIec8T998KezwxJRLFXnOHE9yf3bfc1AcBtVbG5tBG+oB7ymH/5dAd8wZ7ZhjyRMD+2Yn6Mrh67pNi7ZjFkS1Onx+jVBwFFhSWvN4IVBzo91jZ8EmwDx5hZIhGRIRlTTkH+xfNQ/sYrbV8TNhtkUIf/UEuUcASqKlHy1BPo++OfmVhlfDPrDsdo3CWZn5+PBx54AD/84Q+RkZHRrTF2796NU045BWVlZQBaw+ncuXMxaNAgtLS0YOXKlfj444+haRoeeOABlJWV4amnnup2zdu3b2973r9//y6P79OnT9vzjlr/TJs2DbfeeivOP//8btdF1JEajx+rSzrfIzagSZQ1+TEoz43Sei+afB1/EHdYFMwb1xsW7qNNRHHCqipYcHIfPPTpDniPuvCY7rRAVQQgwn+/+mRHJQbluJHu6DlbLDBDMkMSHW3bH/6EYEPnqxPrv14PxW6He/BgNG3bBtHJ+22fa7+H7NOmml0mEVG3nTYgG9sqGrFkx5GuZjZVoLY5gKqm8LejOVjvxQtrSvD9Ke1Plicj5kfmRwpNj5zUDpbvRWDbmtAO1jXoteVQ0zKheZqA4Ikrc5TsAjinnmtylURExvX+3rVo/nYLmjZtgLDboXtaDI1X+e5byJw+E2ljxplTYLwTAqKD/VXCHeew0tLSLg8vKioK+1vMmTPnmNY44dI0DZdffnlbmLzqqqvw2GOPISUl5ZjjVq5ciYsvvhgHDx7E008/jRkzZuCaa67p1vc8+t9FKD9z7969256Xd3Bjxn333detWoi6IqXEJzur0EW33TZ13iBcdgvSHFYc7GDP2YtHFyDLZTOxSiIi47LdNlw5oQhPrdoHIQC3rXVCu7MJls74NYn3tpbj8rG9uz1GwmGGZIYkOqTq8y9Q/t7ikI7VfT40bt0Ge698BGtrIIMndsZIHzcGA276odllEhEZNv/kPthd48GeGg9UIVDe4INuYHHt698cwGkDszE4N6Xrg5MB8yPzI4Wkx7Ufl1oQ3i8WhX9eSyMUIaG4jnsTtdjgPvMKCEvPueuciBKHUFX0u+XnEHaH4Qntw/b+9SFo3vYnaKhrkyZNQnFxcaePWHj99dexevVqAMDs2bPx3HPPnRAmgdaWOq+99lrbRel7770Xmta9llD19Ufakbpcri6Pdzqd7Z5LFA2bKhpxoCG89z4JICAlemc6YFOPnciZ0jcTI3qlmVghEZF5RhWkYWxhGlIdFtitiuHJ6J3VHmws63oPReoYM+QRzJCUKDRPC7be94ewz/OVlUMLBKG6U45pt2pJT8PIP94Pxdoj1ygRUZyzqQpumNoPmiZR0WhsQhsAdNnahjyghd62nI7F/HgE82Py6HGT2v4Ny6DXV3Z/gIAXisPRdseLa9qFUDNyTKqOiMh89vx89P3xLaaN5ys9iIP/eda08eLZ4dY/Zjzi3ZNPPtn2/K677oLSyd2hU6dOxZlnngmgtV3QF1980a3v6fP52p4fHRY7cvQxgUDA8H468WTDhg3YvHlzrMugDjT7g1i2u6bb5/s1iXS3DZluK4QACtMcOJv7aBNRnLtqQhHyU+2mjbd4WwWafKHvx53ImCHbxwxpPmbI+Lbz0cfhPdj1Krl26RKBhkYodkfb7+yI+34NR698EyskIjJXcaYLV51k3kTp7moPXvu6821hkwXzY/uYH82X6Pkx/n/DTaTVV8H3zWcmDBSEYlFh6T0QtsHjjI9HRBRhWTNOR/qkKaaNV/7ma2jettW08XqSVatWYf/+/Z0+oi0YDGL58uVtf544cWKX55x66qltz5ctW9at76uqatvz7qwAS6YWpr/5zW8wevRojBo1CgsXLox1OXScz3dXw2fC3eEWVUFemh2XjS2EJQE+aBJRz2ZRFZw3vJdp47UEdXy4rcK08XoaZsgjmCGPYIaMXw2bt2Lfcy8aHkdr8ULqQPaMaciZOc2EyoiIImvOiHyMKjCvK9mLa0uwr8Zj2ng9CfPjEcyPRyR6fuwx/WqklPAuXwTo3WtPcDzhTIF71pWmjEVEFGlCCPT98c+w6YfXQfM0Gx9Q11H98WK4hwwzPlYcM+sOx6PHKCgo6NZ+NZG0d+9eNDcf+b1or+VPV+d3x9HfxxtCS/uWliMt9O1281aOxYOVK1dCSoktW7YgJ4cdYOLJnloPtlWZ8L55yGn9spGbkly/v0SUvIoznDipKANrSupMGW93jQcN3gDSHMm9fRczZOjndwcz5BHMkPFJDwax5Z7fAbo5LXOdRYUY9cf7TRmLiCjSFCFw84yBuOnVb+A34ebwoC6xZEcVrpnUx4Tq4hfzY+jndwfz4xGJnh97zKR2YPs6aGV7TBvPMeVcCHvXbQqIiOKFLScXRT+4EXv/9idD46gpKSi88ntoKdmPincWIe/cuSZVGH8URYFiQqDsrI1OPKip6X5bZQCora1te/7EE090udfMDTfcgLS0tGMCpcfT9V23RwfK9PT0blQav6qqqtqeh3KXKkVHQNPxyc6qrg8MUV6KHWNNvGOdiCgaTh+Yg+1VTaj3GmsdPiTHjeH5qVi6uwZnD82DqiTPaofjMUOGhhnSOGbI+LT/P6+gcdMW08Yb9qtfQHU6TBuPiCjSemc4cfXJxfjXl92bgDws3WHBlROLselgPT7cUo7Zw5N3Cwbmx9AwPxqX6PmxR0xq695meFd/YNp4luIhsPQdYdp4RETRknPWOaj59BM0rv+6W+enT54KR+8iHHjuKeheLyxp6cg+/UyoLre5hVJUBYNHLlIXFhbillvC24N98ODBbc/vv//+Lu+avPTSS5GWloaCgoK2rx08eLDL73PgwJF9lHr1Mq8dajwYMmQI1q9fDwDYv38/hgwZEuOKCABW7q9Fo0n7vwoAswbmQEmillVE1DPYLArOGZaPF7u5n6HbqmJSn0yUNXrxxd7Wi1Cbyhsxhjf5JDxmyNhjhow/3tIy7Hz4H6aN1+v8Ocg+1bytxIiIouXCMYVYurMa2yqbunX+tIHZSLGqeHjJDvg1HV/tr8OMwbmwW+J70pY6x/wYe4meH3vEpLZWVQL7uJnwrfsECPi6PqEzFhscU85Lqh76RNRzCCHQ9+ZbsflHP4DuC/390JKRgYypp6L+yxWoX7mi7evBhnqUvfoyel9zbSTKjTmhCAgT7nAUcb4SKTMzs+25lBK33XZbVL7vyJEj257v2bOny+OPDqqJFri68stf/hLz5s0DANx+++144403jtnvh6KvwRdE7zQHyht9KGnoujVVVyb0TmfbcSJKWAOy3RhTkIb1pQ1hnTck1w2nRcWG8sZjvv7VwXoMzU1J2ouSzJCRxQx5BDNk/GnYtAX9f3gddj/2L+gtxjKkNT0dQ+4I72I/EVG8UBWBm2cOxM2vr0dQlyGfl+22YULvdCz5tgINR3UKqmj04c2vD+C7JxVHotyYY36MLObHIxI9PybnJ8ij6PWV8H3+CoJbV8A+bjrUPsMNjWefcCaUlAxziiMiigFHQSEKvxf6JHTqmHFQXW5UvfcOArUntogpX/ga/FWVZpZIUdanTx9YLK33uZWWlqKkpKTLcxobG+Fr58aIPXv2QErZ6aNfv35t3zcjIwMAsHXrVjQ2Np4w3tG+/PLLtucTJkwI8adLDJdccgleffVVZGVl4e2338aECRPwyCOPYO3ataipqYFu0n58FLqvSurw+e4aZLtsOK1vlqGJlzS7BZOLM7s+kIgojs0anAu3LbSLHSk2FSN7paK2JYgDjSfmBV9Qx9cHO28VSPGPGTL2mCHjS/2GTVh/8x0oefE1DPif65FlcIX14Ntvhi2LGZKIElf/bDfmje8d8vFjC9MQ9Afx328OHjOhfdi/V+1FfUvAzBIpypgfYy/R82PST2r7vvkUkBLS24TAN0uApirYRp0C4UwNeywlpxC24ZPNL5KIKMry514E99DOb/KxZGTC0acfGtd/Dd/BjttN6j4fDj7/rNklxgWhKqY94pnL5TpmD5UXXnihy3OuvvpqOJ1OFBUV4amnnur29z7vvPMAtLYf+vDDDzs99t133217Pnv27G5/z3h0zjnn4Mknn8SAAQMgpcTGjRtx8803Y9KkScjNzYXVaoWqqp0+Dn8oIOOqmv3YW9e6f9LeuhZsKm/EiNxUDMru3lYLZwzMgTXO3weIiLritKo4e2hel8cVZTjhsltQ3uRHZ2tyNpQ1mLbFQ7xhhuwYM6S5mCHjy86//h0A4Csrx44/PQzvwTIUX30FrN2YmM6cdBIKLjzP7BKJiKLu8glF6Jvl6vSYLJcVeS4rVuysRmlDx50lm30a/rNqn9klxgXmx44xP5or0fNjfP+GG6RVH4C2f8sxX5NNtQhuWwUlJQWWPkPRusNhCIQC5ykXmNICgogo1oSqot/PboPo4C8ge0EBgnW18O7bE9J4VR99gJY9u02sMD70lEAJANdcc03b8z/+8Y/H7B1zvOXLl2PRokWQUuLgwYOYNGlSt7/vd7/73bbn999/PwKB9u+4fe2117BhwwYAwKhRo44JwMng/fffxwcffIA1a9a0bXHS1d2m7T3IHF8dqDvmzxLA7loPajx+jMpPRZo99PA+NCcFfTM7/wBPRJQohuWlYlheSruvuW0qclNs8AZ1hNJhUpPAmpI6cwuME8yQ7WOGNB8zZPyo+XIValasOuZrnt17sP/fL8KRl4vs06aGPJZis2H4Pb/g1odElBSsqoKfzRiI9rpiCwC5LitKqj3YU+0Jabw3vzmA0voWc4uMA8yP7WN+NF+i58ekvh3T//UnHb4m6ysh6yuh5hVAer3QG05sqXs028ipULMLOj2GiCiROPv2Q8F35+Pg88+0fU11u6G1tMBXWhreYLqOkqefwOB7f2dukRQ1CxYswEMPPYSdO3eiuroas2bNwhtvvIHhw49d0b9mzRpcdtllbeHl0ksvxahRo7r9fc855xxMnToVK1aswLp163DNNdfgqaeegsPhaDtm6dKluO6669r+fM8993T7+8WrPn368KJVnCht8KK0nVa5AKBLoKTeC5uqoH+mC3tqPZ2uQrRbFEzvnx2ZQomIYuSsIXnYW+NBS7C1LZ0AkO60QlUEZKg3jR+yraoZY3qlIdtti0ClFA3MkLHFDBkfpJTY8Ze/d/h649ZtAIDU4UPhr6uHr7Ss0/H6//A6uPr2MbVGIqJYGpqfigvHFOKNbw62fc1tU1HT6MPeMNuJBzSJfy3fg7vnGNtmlmKH+TG2Ej0/Ju2kdrBsN7SyrlcNyroKAICalQetvgbQTmx/JlIyYB93uuk1EhHFWq95V6Bm6WetK7JVFVpzc7fHql+9Eg3frEPa2PHmFRhjQiimdOgQIv7vknQ6nXj11VcxY8YMNDY2YuvWrRgzZgzOOeccTJgwAT6fD+vWrcMHH3zQFib79euHv/+944s3oRBC4PHHH8cpp5yCpqYmvPjii1i2bBkuvfRSZGZmYs2aNXjnnXegaRoA4KqrrsIll1xi+OeNN3v27Il1CYTWC5JfHeh6j9egLlHbEkCu2wZNAtUef7vHTeuXDVeI+88SESWKFLsF3xmSh0Wby2C3KHBYVVgMrAj5cn8tzh2Wb2KFsccMyQwZLcyQ8aHy40/RsGFTl8c1bvkWAODq3xeefSXAod/Po7kHDUDf719teo1ERLE2/6RiLN9VjfImH7Sgjsr67u+N/dHWClw2oQhD88PfYjZeMT8yP0ZLoufHpJzUllLC//XH4Z3TVANFBeBMg97UcMxrzqnnQ1h55zgRJR/FYkHBvCuw+8HfAUHjexqWPPUEhv/5kaTZqkGoChTV+IRUIrT+AYDx48dj+fLlmDdvHrZs2YJgMIhFixZh0aJFJxw7depUvPLKK8jJyTH8fUePHo13330Xl112GcrLy7F//378+c9/PuG4+fPnG9o7h6gr++tbUNXBBHV7/Frrh6tctw1NvmDbqkUAKEpzYEQHLXqJiBLdqF6p+PpgPZoDmuG7/EvqvSipb0FRutOk6mKPGZIZknoOqWnY+bd/hHWOZ/deQBGwZmUiUFN7zGvD77kTis1qZolERHHBYVVx4egC/PmT7TCjc/HjS3fhoUvGJPSK06MxPzI/UmiSclJbK/kWevXBrg9sj98DxWaFhID0+2EZMBqWosHmFkhEFEeyTz8TdSuXo/bzTw2P5dn+LWqXfoasGexukahGjRqFDRs24JVXXsEbb7yB1atXo6KiArquIz8/HyeffDKuvPJKXHjhhVBMvHlh2rRp2Lp1Kx555BH897//xY4dO9Dc3Izc3FxMnToVN9xwA2bPnm3a90sUO3fuxK5du1BTUwNFUZCRkYEBAwZg4MCBsS4t6eghrtJuT0CTsFtUOK0qGn1B6BI4Y1BO0ny4JiI6nhACc4bl4/WNYW5Z04GV++rQe5SD75sJjBkyvjBDRk/pW++heWfXnSJPoMvWCW1FgVBVyEAARZdfgozxY80vkogoTswdU4hlO6uwak9t1wd34av9dVi1txaT+2WZUBnFAvNjfEmU/ChkLHf0jgCp62h593Ho9ZXGB1MtcJ5/E1R3uvGxiIjimLf0IDbd+H1IE1Zr23oVYNTjT0FJ0A4XJSUlKC4uBgBs/P1N6J2ZZnjMA7UNGPX/HgUA7N+/H0VFRYbHpORVW1uLP//5z3jqqadQ2sH+9rm5ubjyyitx5513mnKnKgE7qpvxxZ4aU8YqSnfgzEG5poxFRBTPPtlRhe3V3d++5mhnDMzG4JzE7XDBDEmxxgwZfbrfj+XnXAJvF3tkh0J1u3Ha4kWwpht/7yAiimc7K5vwg+fXwoxJqQE5bjxx1USoSmLeGMn8SLGWiPkxMXoRhCG4Z4M5E9oAbCNP44Q2EfUIjoJC5J4715Sx/GWlqHznLVPGIuppli1bhlGjRuH+++9HaWkppJTtPioqKvDXv/4VY8aMwZIlS2JddsLTdImvD3ZvlfbxHBYF0/tnmzIWEVG8O7k4A2ZdQ1y1vw5BPanuuSeKGmbI2Ch55Q1TJrQBYODN/8MJbSLqEQbmpuCsEfmmjLWrqhkfbik3ZSyiniZR82NStR+XWhD+9Z+aMpZwuGEdNsWUsYiIEkHBd+ejevEH0DzGV9scfPHfyP7OWbC4E3e1DQAIRTFlL5pk2WOcImvt2rU466yz4PV6cbiRTnZ2NsaOHYvs7GxomoaqqiqsX78edXV1kFKirKwM5557LlauXInRo0fH+CdIXNuqmtDs10wZa0xBGqwJsocVEZFRqXYLRvVKw/rSBsNjNfk1bCpvxNiCxJ/UYYakaGKGjI1gczN2P27OXpuOwgIUXXaRKWMRESWCa0/ph0++rYRf0w2P9a/lu3HG0FzYLcb3o44l5keKpkTOj0k1qR3Yvhay2ZxVNtZR0yAStHUuEVF3WNPT0WveFTjwzJOGxrEXFKLX5VeieccOpI8dZ05xMSIUxZQwyEBJXQkGg7j88svR0tICAJgwYQL++Mc/4owzzmj3+MWLF+POO+/E2rVr4fV6MW/ePGzYsAEWS1JFu6gIaLopkzEAkGJTMSSBW+cSEXXHhMI0fFvRBJ+Bi5ICwPC8FKQ7VAQ0PeFvDmKGpGhhhoydfc+92LontgkG/PhGKDZegySiniMv1YFLJ/TGC6v3Gxqnb5YLV55UjC0HGzCuT6ZJ1cUG8yNFS6Lnx6T5DZcBPwIbl5oylnCnwzpogiljERElkvwLLoY1p3v7wFrS0lFwxXykjB2PvY/+DTt/dy90n8/kComS03PPPYddu3ZBCIFzzjkHK1as6DBMAsB3vvMdrFixAueeey4AYNu2bXjhhReiVW5S2VzRCG/Q+N3hADCuMD1h9/IiIuouu0XF+N7d37arb4YTp/TNhCegYdX+euyp9ZhYHVFyY4aMDX9dHfY+87wpY7kHDUDBeWebMhYRUSK58uQ+SHN0b1Is223Dgsl9MSjbhfvf3ox7F21GUDfncz1Rskv0/Jg0k9p6fUXbMnmjbGNmQqi8S5WIeh7FbkfvqxeEdY6w25F1xnfgHDwUB154HpXvvg3d50Owvh5VH30YmUKjRKiKaQ+izixcuBAAkJ6ejueeew5Wq7XLcywWC5577jlkZGQAAF599dUIVpi8aj0BU8bJcFjQP8tlylhERIlmZH4qUmzhtXzMddswtiAVfk3H5oom1HuDAIBtVc3QTfpsHyvMkBQtzJCx0bR1m2ljDfzp/0Coid0yl4ioO1LsFnxvct+wznFaVZw1PB9FqQ48/ulOvLu+DAFNoqzBiyVbKiJUaXQwP1K0JHp+TIrfcKkFEfhmCeyjp8Ey4hTA0vX/CB1R0nNh6cf9hIio58o+4ztw9uvf9YGKgpQx42Av7I2qjz5E/eqVwHEXIMveeBWSd0oSdWndunUQQuCCCy5AVlZWyOdlZmbiggsugJQSa9eujWCFyWlndTPSHVac1jcTOS5jLR/H906HIrhKm4h6JosiMKk4I6RjU+0qBma7oOsS++q8J3TLaPZrONjgjUCVRMmHGTL6gk1N2Pnw4xhw0w0ovvoKKHZ7t8dKGzMKuWfMMLE6IqLEcsHYQhSmO7o8TlUEJhSnI8tuwaKvDmDV7poTjnlh5T7TFj0SJbNEz49JsRxZ27cZelUJ9KoSwGqHdeB4yIAfwT0bAF0Layzb2NO57wAR9WhCVVF07Q3Y/qtfdHiMo09fBBqb0PD1uk7H8h4oQd3KFciceqrZZUaFUIQpdzgKtiOmLlRVVQEABg8eHPa5h8+prq42taZkp0uJndXNbZMpWS4ritId2F3raVstGKoctw3F6c5IlElElDAGZbuxvrQRVR5/u6/bVQXZbita/BpquuiS8W1lE4oS+H2VGZKihRky+g6++Rbqv16P+q/Xw5qRjsJLLkCwoQHl7y2G1MK7BjnoZzdB8KZIIurBrKqCH5zaH795d0uHx/TLcqGy3osV2zr/+2prWSPW7avDhL6Jubc28yNFS6Lnx4SfvZVSIrBtzZEvBHzQdq6Dvn8zLAUDoRYOAkIMiEp2b6hFQyNUKRFR4kibeDJSx0044euWzEzA7oBnzx4EqqtCGqvsjcRtZycUxbQHUWccjtY7k5uamsI+9/A5brfb1JqSXWnDsasDazwB7K1rgdumYmhuCtxhtNGd0DudFySJqMcTQmByn4wTvq4KINNpgdOqoCWgh/T5vNoTQFVz+5PjiYAZkqKFGTK6pKZh/39eaftzoK4eJS+8gvL3FiPrlMnInDIp5LGyTpmMrMknRaJMIqKEMnNILoblp57w9SyXFYom8e2BBtQ0hZYLX1y1z+zyoob5kaIl0fNjwv+G65X7IevKT3xBSujluyEr9kLNyIOSXdjlWLZxZ/CCJBERWi9KFl17fdufFYcTUgj4q2ugt7SENVbjhvVo+nar2SUSJZW+fftCSoklS5aEfe7hc4qLi80uK6ntqvG0+/WWgI6KJh+cFgX9Mp1wWjqPywWpdhSkdt0ujYioJyhKd6L4qBaSbquKFLsFgAj7s/a3leFfZCHqaZgho6vq8y/Qsr/khK9LTUP10uWo/XIV3AP7I2Vo1yufBt38o0iUSESUcBQhcOO0AW1/dloUaH4NpdUtaPGH1wFj2fYq7KlqNrtEoqSS6Pkx4Se1g9vXdHmMbKwB6iuhOFOgpLbfI17tNQCWXiHsIUtE1EO4Bw2Be/hI6LpE0OOB1Lq/N3airtYWimrag6gzM2fOBACsWrUKb731VsjnLVq0CCtXroQQAqeffnqEqks+tS0B1LZ03vpWk0C9NwiHVUVBqh2ODia3J/TOiECFRESJa0LvdNhVBWl2C2wWBUo3bxw/0OBFky+87SDiBTMkRQszZHTtf/6lLo9p3rkbTd9uhyU9DfZe+e0ekzf7TKSNGmF2eURECWt8cQYGZLkQ8Guoa/QjqHV/b+yXEnS1NvMjRUui58eEntTWm+ugHdgW+gkBH9DSCMVqg+JMAXDkw7Vt3BnmF0hElOD63nSzKePULP0MvrIyU8YiSkY33nhj2wq2+fPn45133unynLfffhtXX301gNbuCtdee21Ea0wmu2rCu3PbG9ThtKrIcduOmdzum+FEjttmdnlERAmtV6oDA7NdUE3Yz29bFVdrE3WGGTJ6mrbvQM2Xq0M+PljfAF9ZOYRFhSXtqLa6ioKBP/lhBCokIkpsN58xGLqByezD3ttYhpoE3saGKNISPT9aYvadTRDc/hUgu/FGJyUQ8EGxWCAVFSKzF9QQ2pMTEfU0rgEDkTZhIhq+WmtsIF1H2X9fR98bbzKnsGhRFMCMOxy5nw11Yfjw4bjxxhvx2GOPoampCXPnzsWMGTNwySWXYNy4ccjKyoIQAlVVVfjmm2/w2muv4fPPP4eUsi1MjhkzJtY/RkLwBjQcrPd261xNl3BaVbisKrxBDeMK00yujogoOQzNTUFpo8/wOLtrWjAyPw32LraCiDvMkBQlzJDRs//5l7t1ngxqCDY0AgAUuw3Zp06Fe0A/EysjIkoOY4rSMaIwDZsPNhgaxx/U8cbaEvxg+oCuD44nzI8UJYmeHxN2UlsG/Qju+sbwOELXYB89w4SKiIiSU6+L5xmf1AZQ+f676H3VNbCkpJhQVZQoijlhkIGSQvCnP/0Ju3fvxgcffAAhBD777DN89tlnHR4vD93Yd/rpp+PRRx+NVpkJb0+tB0bv/ZYA+mS4kOHkKm0iovbkum3IcFhR5+18q4euaFJiZ00zRuSldn1wPGGGpChihow8f10dSt96z/A4uj+A/j/8gQkVERElHyEErpjUB79cuNHwWK+vLcH8qX3hsCZQK27mR4qiRM6PCfsbHtyzEQh0b5XN0ZTcYqj5fU2oiIgoOaVPPAnOfv0Nj6O3tKDyvbdNqIgoOTkcDrz99tu4++674Xa7IaXs9OF2u3HXXXfhgw8+gNVqjXX5CUHTJfbUtpgy1uActynjEBElIyEEhuaa8z65o6oZmm68FSVRsmKGjLyDry6E7jPefSJn+qlIGznMhIqIiJLTzGG5KEh3GB6nriWA9zdyG0SijiRyfkzIldpSSgS3rTFlLMvgk0wZh4goWQkh0Oviy7D7T380PFbZf99A/oWXQEmUiyeKCqGa0fonge4MpZhSVRW/+c1vcPPNN+Ott97CJ598gt27d6O6uhpSSmRlZWHQoEGYNm0aLr30UmRkZMS65IRyoKEFfk03PE6Gw4JMZ4K8jxERxUhxhhPryxrQEjD2vusN6thX14L+WS6TKosCZkiKMmbIyNEDQex/6VVTxiq++rumjENElKwsioLLTy7GXz7abnisF1fuw9xxhVAO7R0c95gfKcoSNT8m5KS2XrYbsrHa8DjClQa19xATKiIiSm7ZM89AydNPIlBbY2icQFUVapd9juzTzzSpMqLklJ2djQULFmDBggWxLiVpSCmxq8Zjylj9s9wQifLBmIgoRhQhMDgnBetLje2LCADbqprQL9PJ916iLjBDmq/y4yXwlVUYHsc9aACypkwyoSIiouR23thCPLl0N5p8QUPj7Kvx4Mud1ThlUI5JlRElp0TLjwnZfjywfbUp41gGT4TgHgNERF1SbDbkX3CxoTGc/fqj749+alJFUaKo5j2IOnHttdfi2muvxYcffhj2uc8//zzGjx+PSZN4kawzNZ4AGrzGPhQDgN2ioLcJ7dCIiHqCAVkuWJTuT0SrQmBglguj8lPR7NdMrCzCmCEpSpghI2/fv18yZZziqy7njTlERCFw2y24aEJvQ2MM7ZWKO84eCo/BifGoYn6kKEn0/JhwK7X1hmropbuMD6RaYRkw1vg4REQ9RN655+Hgi89D93nDOi9t3AS4R4xEy+5d2PfEPyADAbgGD4GzqDhClZpIUcwJg7yBirrwzDPPQAiBUaNGYfbs2WGde+DAAXzzzTfIysqKUHXJYVdNsynj9Mt0JU77MiKiGLOpCgZkubCtKrz3YLtFQd8MJ5wWBVXNfmypaEJhmgMj8lMjVKnJmCEpSpghI6th42bUf73e8DjW9HQUnH+OCRUREfUMl55UhBdW7oOmy7DOmzowG0PzU7HlYB3+8M4WSCkxtk8GclMT4MZ05keKkkTPjwn3G67XVwIWm+FxLP1GQdicJlRERNQzWFLTkHvWnJCOFRYL0ieejMzTpqN5x3aUvvBv1K34AjIQAABUL/k4kqUS9SibNm0CALS0tMS4kvilSwlv0Phe2ooA+mYyPxIRhWNwjhuh3gqUalMxIMuFfLcNVc1+7K/3ouXQ+3d5ky/sC5tE1DFmyK417dgFxWl8IqTw0gugmjAOEVFPkZfqwOyR+SEda1MVnDIwG9MGZeOrXdV48rOd+GJ7NTRdQpfAhxvLIlwtUc8RD/kxoVZqS11DcO9GWEdNgwwGoO3ZANlU262xLENOMrk6IqLkl3/RJSh/+7+A3v7kkOJywdW3P3yVFahf2/FWEdWfLEbv+dfEffs1oSimbFPBrS4IADRNwy233IKmpqYOj3n55ZexcePGkMfbs2cPli1bBiEEioqKzCo16ZQ3elGYakf/TCdKG30oa/ShO9MivdMccFjYyouIKBxumwVF6U7sr+/4wke6wwK3VYU3oKGuJdDuMZouUdXsQ34CrLRhhiQzMUPGRrC5GeXvfYBBP/khgk3NOLjwbXgPloY9jlBVFF9xWQQqJCJKbldM6oP3NnQ8IZ3qsKBvlgslNc34fGtFh8e9u74UV03tF4EKzcX8SGZK5vyYUJPaevmetgcgoOQWQy0cBK22HLJyX8jjKL36Q0nLiVidRETJylFQiMxTTkPtss+P+bqamgrV4YS/sgJNWzZ1OY6vtBRNWzYhdcSoSJVqDmHSXjSCk2AEqKqK/v3749Zbb233hg4pJdasWYM1a9aENa6UEkIIfPe73zWr1KRT1uhDS6B1L1abqmBYbgq8QQ0lDV4EtNCntwdkuSNVIhFRUhua6z5hUlsASLNbIASgCNHaUaOLGx5LGxNjUpsZkszEDBkbVZ8uRe2KlahdsRJCVZE5+WTknj4NDZu3on5d6C3Jc2edDkdBrwhWSkSUnAbnp+LkfllYvafmmK+nO62wCKC83ovaRl+X42wra8SOikYMyovzbWyYH8lEyZwfE+q2jeD+rUf9SUKv3Ifgrq8h68pbJ6rz+wFq1/P01sFcpU1E1F0Fl8xre6663YAQ0Bob4a/s+K7I9lR/8pHZpRHFvZtvvhljx46FlPKYx2HHfz2Ux+Eweffdd8fwJ4tfzf5g24Q2APg1HZXNPjT6gshz29Av04k0e9f5MctlRbrTGslSiYiSVpbLhlx36zZiigDcVhVpdgtURUAJo3NPdbMffhO2kyBKNMyQ0Vf+3gdtz6WmoWb5lzjw0qto3votsqacjMxJEyAsXWfIPvN50wARUXddOaVP2/MUuwotqKG6wYvyem9Y47y/ni3IqedJ1vyYMCu1ZTAA7eCODl7UoVeVtD5XLRBpOZAtjYC3+YRDRWoWlIKBEayUiCi5pQwfAVtePvwV5dCaT3yfDVX1Z5+iz403QbHG8SSRophzlyRb/9AhiqLgnXfewfbt29u+JqXEGWecASEEfvjDH2LevHmdjNBKCAFVVZGWloa+ffsiLS0tkmUntOpmf4ev+YI6fEEdNlWgMNWOoC5R5fGjvS1buUqbiMiY4nQHmnxBOCxKt7egkWjdW7s4w2lucWZjhiSTMUNGV6C+HjXLv2z3Nd3vR93q1lVNqsMB58B+aCktR7Ch8YRjU0cOR/r4MRGtlYgomU3un4UMpwVVjT7UHXWzerje31CKH505KKybKaOO+ZFMlqz5MWEmtbWyXYDW/t5ax9A1yMbq1uc2Z+vKbW8TcOgOBMvgiXG/hysRUbwruOy72PvoXw2NoTU2oH7NKmROPdWkqogSQ2FhIQoLC9t9beDAgZgxY0aUK0peUkpUNnfdjgxoXcENAFlOKxQhWld4B3XoEnBaFfRKtUeyVCKipDcg240D9V4E2rtzKAyljd74n9QmigBmyOip/GgJZLDryRPd60Xzjp0AAIvbCcVuh7+mru31PvO/y2uQREQGCCEw76Ri/P2TDhY7hqi8wYt1e2sxsV+WSZURJYZkzI+JM6l9TOvxEOnB1odqAUTrHSqWfrxDkojIqKwZM7HvsUcgte7fJQkAVR8vjutJbaEoECbc4WjGGJTcnn76aQDAySefHONKkkuTX4OvG21qdSnhtKpwWlVoUiLXZY/vO7qJiBKAIgTyU+0oCbNd5PEavEF4/EG4bPF7OYMZkqKFGTIyyt/7MOxzdK8XutcLRRUQNhuExYr8s2dFoDoiop5lzpgCw5PaAPDe+tK4ntRmfqRoSfT8GL+fAo8iA77WldqGBtGh9hkJYbWZUxQRUQ9mTUtH+smTUfflckPj1K1cgWBTEywpKSZVZjJFNan1jwljUFK75pprQj62vLwcmqZ1eKclHVEV4irtzqhCoG+Wy4RqiIioINVheFIbAEobfRiYHceXM5ghKUqYIc3nq6xC7eq1hsaQfj96X3ohFBuvQRIRGdUr3YkJfTPx1d5aQ+N8tLkct80ZBoc1TvMV8yNFSaLnx4S4bUM7uAPQja0GBABLnxEmVENERACQc4bxu85lIICapZ+ZUA1R8njxxRcxc+ZM3HHHHe2+/p///AfFxcWYPHky3njjjShXlziklJ3upx2qdIcVznj90EtElGDSHBZT3lPLGr2Q0lgbc6JkwwxpjorFH7dtYWhEr/POMaEaIiICWldrG9XsC2LZtkoTqiFKHomYHxNiUjvYndbjx7O7oOQVGx+HiIgAABlTToHqchsep/qTj0yoJkIU5cidkoYeCfHXLcVYc3Mzzj77bMyfPx9Lly7Fpk2b2j1u586dkFJizZo1uOyyy3D11VdDM7gVQDJq8AXb9sk2IsfNFTZERGYRQqAg1W54nJaAjnpv0ISKIoQZkqKIGdJcFe8vNjyGs7gIqSOHm1ANEREBwJkj8mFTjeei9zaUmlBNhDA/UhQlcn6M+99w6fNAr9hreBxL0VAIEfc/LhFRwlBsNmRNm2F4nMYN38BXXmZCRUSJ7bvf/S4+/PBDSCkhpURZWfv/XQwYMACDBg1qO+6FF17ATTfdFOVq458ZrccFgCwXJ7WJiMzUK9VhyjhljcbbmBMlA2ZI87QcLEX91+sNj5N39ncghDChIiIiAoBUhxXThuYaHueL7VWo8xjv6EaU6BI5P8b9LG/wwHZAGl9loxYNM6EaIiI6WvaZ3zFlnOoln5gyjtmEokKoJjy4nw114Z133sE777wDIQRSUlLw1FNPYfny9vesv/XWW7Ft2za8//77KCgogJQSTzzxBL788ssoVx2/dJNaj2c4rbCacDc4EREd4bKpSHcY3w+7vNEHPU5bkDNDUrQwQ5rLjFXaAJB/9mxTxiEioiPMaEGu6RKLN8XnwhrmR4qWRM+PcX+VTisx3npcuFKhZMfPRuZERMkiddRo2PLyDI3hHjYC9l69TKrIZIpi3oOoE8888wyA1rasixcvxoIFC2C3d96edfbs2Xj//fdhsbRODDz++OORLjNh1HsDCOrGJzpy3MZb5BIR0YmMrta2KgL5qXYETdhmIiKYISlKmCHNVW7CpLZ70ECkDB5oQjVERHS0UwblIN1pNTTG+L6ZyDWpa5DpmB8pShI9P8b1b7je0gi9cr/hcdSiYWz7Q0QUAUJRkH36rLDPsxcUIv/CS9D7mu/DlpODPY/8hS3IqUdbtWoVhBCYO3cuJk+eHPJ5o0ePxty5cyGlxOeffx7BChNLlQmrtBXB1uNERJGSn2pHuJ/QFQHkum0YnOPGoGwXICXKm4xvNUGUyJghzdO8ey+atn5reJz8s83pZkZERMeyqgq+MzL8RTH9cty4akpf3DB9ANwWBb969Ru2IKceLdHzY1xPamsl20wZx8LW40REEZNzRmiT2mpqGtInTUbmtJmAqqJ84es48OzTqF32ObSmJtSvXRPZQrtDUc17EHWivLwcADBu3Liwzx0/fjwAoLS01MySEpauS9SYMKmd6bRBVXhTJBFRJNhUBdnu0G4cSrNbUJTuQFGaA4BErcePymY/vEEdjd4gZDy2IGeGpChhhjRPxfsfmjJOHie1iYgiJtQW5JluG6YNzsHpQ3PhbQng2c934e8fbcenWyrQ6A1i5Y7qCFfaDcyPFCWJnh/jelJbSc2EdewZUHL7AGHfx91KpGRCZBhrjUtERB1z9u0H18BB7b4mLBY4+w+As/8AaC0e1K9aidqln8JXcmIXjvq1qyNcKVH8UtXWDx0+X/grzgKBAADAajXWhitZBDQdg3LcyE+xw2pgUjonxMkWIiLqnoJOWj86LApyXFbkuq2wqQLegAZPQMPx89d+TYc/XluQE0UBM6R5UoYOxqDbf4b0CeO6PUbqyOFw9Sk2rygiIjrG6KJ0FGU6233NZlEwOC8F/bNcqK33YsmmcizeUIaS2pYTjl2xvTLSpRLFrUTPj5aYfecuyKAf/tXvAlJCZObBMuQkSE2DXlsKWRP6XQBqMVuPExFFWs6Z38G+nTva/mzJyIT0+6F5mtGye1dIYzR8/RWkpkGo8XNHoVAUCBPucBTcz4a60L9/f2zZsgWfffZZ2Od++eWXAIDevXubXVZCqmkJoKbZD4si0CvVAUUIeAJB1LQEoIW4z7YqBDKcnNQmIoqkHHdrR4zD780WRcBpUaAqAuqhj/ChLMJu8AaRmxI/+RFghqToYYY0h6+qGpvu+AWEqiJ11EgUf+8K6P4A6r/ZgKYtobckz58zO4JVEhGREAJzxhTgic9arzUKtK7Kbm4JoNkTwBZPfUjjrNhRBSllXM0bMT9StCR6fozb33C9+iAgdQASsrYc2u5voO/bCDTXQcnrA7VgIERqVpfjWIqGRr5YIqIeLuPUaVBs9rY/B+tqoXmawxpDa25G07dbzC7NGKEAigkPEbd/3VKcOP300yGlxIoVK/Duu++GfN7y5cuxePFiCCEwc+bMyBWYQJp9QQBAUJdo8AZR1xKAPyiR6bCiV4oDWU5r22RJR7JcVrYeJyKKMFURyHRa4VAVpNlVpNtV2C0KLIoI6wJjoy8QwSq7iRmSooQZ0hx1a9YCAKSmoeGb9Tjw0isofeNNeEv2I2PSBGSfNgXO4q4v3ubNDm1rLiIi6r4ZQ/NgUwW0oI6AX0NFbQuavcGwxqho8GFXRVOEKuwm5keKkkTPj3H7G65XntiatvUFDbK2DHrVfsDbBOFwQ0nPhXCk4PgW5SI9F0paTuSLJSLq4Rz5veDs28/wOHG5rzZRFFx33XVtz6+44gosXLiwy3M+/vhjXHTRRW13F//gBz+IYIWJIajp8AXbb0Mb0CRaAho0HUixWZHttCHDYW23RXmO297OCEREZLZ+mU6k2FXYVKXbK2WafEHo8bivNlEUMEOao3Z1+59DdZ8PDV9/g9pVq+ErL4M1Mw3uQf1hzco44dj0CePg6JUf4UqJiGhoQRpyXDbIEDuxdWT59iqTKiJKLImeH+O2/bhW1cGk9gkHBiAPtZUQViugWACpQwb8UAvb3+OViIjMlz7xJDRvD701W3vq165B0dULzCnIBEJRTWr9E18tMSn+jBs3Dt///vfx9NNPo6mpCZdccglGjx6N8847DyNHjkRmZiYAoK6uDlu3bsX777+P1atXt4XJ6667DhMmTIjxTxF7zX4t5GODhz4Au6xH4rA3qEFCIt3JvSWJiKIh1W78/VaXQLM/aMpYZmGGpGhhhjRHXQeT2sfTmpvR0tzakUyxqVCcTsigBq3Fi9wzZkSyRCIiOsrUwbnYV73X0Bhf7qjC1af1N6ki45gfKVoSPT/G5aS29HkgG7p5p4ze2mpCWCxQ8/qaWBUREXUm/aSTcfCl/xgao3nbVgQbG2FJTTWpKqLE8eijj2L//v346KOPAAAbNmzAhg0bOjxeHlqVds455+DRRx+NSo3x7nDr8e5yWFS4bCqUONpXi4gomamKgNumhnVTUnsavfE1qU0UTcyQxrSUHID3YGm3ztVbWgAAikVB1ilTzCyLiIg6ccrgHLz8pbFJ7bW7a+ANaHBYOQlMPU8i58e4bD+uVx8wPojDDSU7dpuVExH1NO5hI6C4XMYG0XU0rFtrTkFmUBRAUU14xOVftxRnHA4H3n//ffzxj39EXl4epJSdPvLz8/HQQw/hrbfegsUSl/cpRl2T39ikNgBkcpU2EVFUmTEZ3WjwpibTMUNSFDFDGlO7xvjnT1f/fkgZNNCEaoiIKBQn9c+CRTV2M7ovqGPdnhqTKjIB8yNFUSLnx7hMr1pH+2mHQc0p7vaeXEREFD7FYkHa2PGoW/GFoXHqv1qDrOkzzSnKKEUxJwwyUFKIFEXBbbfdhltvvRUrVqzAhx9+iJKSEpSXlyMYDCIjIwMDBgzAqaeeilmzZsFms8W65LjhD+oIaMb3VHXb4zIeExElrVSHBWWNxsZoCWgIaDqsapxkLmZIijJmyO6rWxVa6/HOZJ58kgmVEBFRqFx2C8b1ycSa3cYmpVfsqMbUwbkmVWUQ8yNFWaLmx7i8aqeHup92J5ScIhMqISKicKRPPMn4pPbaNW17dBD1VEIInHLKKTjllFNiXUrCaDZhlbZNVeJnQoSIqIdwWVWoQkCTxm5MavIFkemKjwstRLHCDBkeKSVq1xif1M44eaIJ1RARUTimDs4xPqm9vRKYM8ykiogSU6Llx7i7aqd7GiGb6w2Po+QWm1ANERGFI32C8TvU/ZUV8O7fZ0I1xglFhVBNeCjcn4co0ozupw0Abjv/WyUiijYhBFIdxu+3b/AGTKjGHMyQRImheedOBGpqjQ2iKMiYOMGcgoiIKGRTB+UYHmNHeRMq6r0mVGMc8yNRaOJvUtuEVdrCnQHFmWpCNUREFA5HYW/YCwoNj1P/lfG75U1hyl42hx5E3aDrOsrLy7F161ZUV1cf83U6QkqJZr9meJwUW1w2MSIiSnqpJmz90OgLQhpc7W0aZkiKMWbI0NStNr6fduqwobCmpZlQDRERhWNoQRoy3ca79Hy5s8qEakzA/Egxlij5MSkntZUcrtImIoqV9IknGx6jfu1qEyohSkzBYBDPPvssZs2ahbS0NBQWFmLkyJF49tln246ZOnUqrrjiCmzcuDGGlcYPX1BHUDc+keHiftpERDGRarcaHiOoS3iD8XXBhSiamCHDV2vCftoZ3E+biCgmFEWYslp7+fY4mdQmioFEzI9xdeVOSgmtssTwOGou99MmIoqV9IknoeLt/4Z9nrBYkDJiFNLGT4CjdxGkpkGoMb67UFHMucNRibt7yChObdq0CZdeeim2bdsGAG0rzo7fY37z5s1Ys2YN3njjDfzhD3/Az372s2iXGlfM2E/bYVFgUUTXBxIRkelsFgV2iwJfNyalrapAmt0Kl01F3LyLM0NSlDFDhk8PBlH31TrD42RyUpuIKGamDM7Bu98cDPs8m0XB+L6ZmDQwG0WZLkgpT/g7M+qYHynKEjU/xtekdlMt4Gs2PI6Sw0ltIqJYSRszDkJVIbWuWwHbC3vDNXAQrOnp0H0+ePbsxsEX/g0ZCMD5jyfh6j8gChUTxYfNmzfjtNNOQ0NDQ1uQtNls8Pv9xxxXU1OD5uZmCCEQCARw6623wmaz4Uc/+lEsyo4LzT7jrcfdXKVNRBRTaXYrKoO+Lo9TBOCyWVpvRhICQV2HX9NR06whENTRK90ZhWqJ4gczZPc0btkKrdnYNUhhtSJ93BiTKiIionCFs1K7X64bQ/JTkea0otkXwPbSJjz8/rcIahIf/uIMFGQyQ1LPkcj5Ma5u29Dryg2PIdJyIGx8AyIiihXV7UbKiJHtvqY4HHD2HwD3sOGw9y6Gr6wUtUs/Q8Xbi1C1+AN4tm+DDAQAAM07tkez7HYJRTHtQdQZTdNw8cUXo76+HlJKnHXWWVi2bBnq6+tPODYrKwtfffUVZs+eDaD1Tso77rgDJSXGu90kIiklWgIm7KfNSW0iophKdXT8PmxTFaTaLUizW+CyKJC6RItfQ6MviJaADu3QFhTx0n6cGZKihRmy+xo3bzE8RtroUVAdDhOqISKi7shJtWNIr9R2X3PZVAzulYpRvdPRO92BXaWNeHfdQby0fC/eWnsQWw82IKi1ZsjNB078ezPamB8pWhI9P8bVb7iwWGEdewYsw0+FUjQMwpkS9hhqLvfTJiKKtdQx49qeq6lpUFNbA6bu9aJl9y40b90C34H9gN7xhUfPzthPakOora1/jD5EjNuoU9x77rnnsG3bNggh8JOf/ATvvfceTjnlFNjt9naPHzduHN577z385Cc/AQC0tLTgiSeeiGbJcUPTJXql2dE73YEct61b7WcFAJeV/50SEcVSis3S9v6tiNaJbIcq4LQosCoCui6h6RKyk3f5gKZDP7TSIKaYISlKmCG7z5aeiqF3/xwDfvIj5J19Fmw54e/LmjmJrceJiGLtpP5ZAAAhgHSnFSl2C4JBHQ3NAWzZX4+v99Rib5UHeicRcevBhihV2wnmR4qSRM+PcTWpHdy+BsFNS6FtXwVZsQfClQa191CovYe0thS3tv8v9WhKDie1iYhizdm3X9tzrbEBWmNj2GN44mClNlG0vPHGGwCAgoICPPjggyGf98c//hGFhYUAgA8//DAitcU7b1BDnceP+hY/vIEgrAqQ7bYix21FhrO1PW1XnDYVCvfTJiKKKUURSLGpcFgUONTWiWxVUaCEub9hd/blJkpUzJDdt/fxf2LX/z2E/U/8E/VffgF3cQF6zZmF/LNmIWPiOFhSul5ow/20iYhir1+uG1pQR8Cvo7rBh7omPxDmPY5b4mClNlG0JHp+jJtJbakFIZvrjnxB1yDrK6GX74JevhuyrhxC6hCuVIj0HIiUTEC1HjuIUKBkF0a1biIiOlHGpMmAwXY3zTt3QHaykjsqhACEYsKDk2XUuXXr1kEIgfPPPx82my3k8+x2O84//3xIKbFt27YIVhi/AsdNXmi6hDegwRvQENR0WBQgxaYg3aEi1d46WaIe95+k28bW40RE8SDNYYUqBISB7OQzYUsKw5ghKUqYIbsnUF8Pf2Vl2591rxdNW7agesmnqPnsUzRv2ggR9MJVmIfUwQPg6lsE1W7F0Y0iVJcLqSNHxKB6IiI62ukjesFoo564mNRmfqQoSfT8GDdX8GRTLUJ69/F7Wx849N+nxQpAtLZWsDkgLKH/j0BERJGhOpxwFhWjZd/ebo+ht7TAe/AAnEXswEHJr6qqCgDQt2/fsM8tLm79b6SpqcnUmhKFXwvt5pfD+61aFMBy1E03mi7hsMbNfZ5ERD2a3aICCBgawxeMg0ltoihhhuye5p07QzouUFODQE0NgNZtERS7BVAUCKsN9oICKJa4uaxKRNRj5aTakZfuQEW9t9tjVDT4UNXoRU6qw8TKiOJToufHuLmCJxurjZwN6EGo+f3MKoeIiAxyDRpseIyYtyA35Q7JQw+iTqQe2ne+sRut+isqKgAA6enpptaUKI5fqR0uVRFw27jnFBFRPLCbcJORNx7ajzNDUpQwQ3aPZ0dok9rt0nVInxc5M2eYVxARERkyojDN8BhbDsR4X23mR4qSRM+PcfMbrjfWGB5DpOWYUAkREZnBbcKkdnOMJ7WlUEx7EHWmf//+kFLi888/D+s8TdPw9ttvQwiB/v37R6i6+KXpOjSDfcYsh/ZsJSKi2LOpCow2TPQHdehGe1AaxAxJ0cIM2T2hrtTujHvQQBMqISIiMwzvbXyCLdYtyJkfKVoSPT/GzW+4bDCyUruVkpptQiVERGQG16AhhseI+Uptoig566yzAADLly/HkiVLQj7vgQcewK5duwAAs2bNikht8SzU1uOdsVniJg4TEfV4QgjYTXhf9sfDam2iKGCG7B6PGZPaAzmpTUQUL8yZ1I7xSm2iKEn0/Bg3V/F0Q+3HAUBApGaaUgsRERnnMuFDfvOO7ZCxXGnD1j8UJTfeeCMcjta9my6//HIsX7680+O9Xi/uvPNO/PrXvwYAWK1WXH/99RGvM94YbT0OAFaVrceJiOKJ3Wr8fTnm+2ozQ1KUMEOGT2oaPIcuyHaX4nDA0bu3SRUREZFRw3ub0X48tiu1mR8pWhI9P1pi9p2PIn0ewN9iaAzhTodQrSZVRERERlncKbAXFMJXerDbY2hNjfBXlMOe38vEyojiT1FREe677z7cfvvtqK6uxvTp0zFz5kxMnDix7ZhNmzbhySefxKpVq7Bw4UJUV1dDSgkhBG6//Xb069cvdj9AjHClNhFR8jFjpbaPK7Wph2CGDF/LgQPQ/X5DY7gGDIDg9jVERHEjP92BTLcNtc3df38/UNuCek8A6S7OMVFyS/T8GBeT2roJrccFW48TEcUd96DBhia1gdbV2jGb1Bai9WHGOERduPXWW1FRUYEHH3wQUkosWbIES5YsgTj0+/PMM8/gmWeeAYBjOhjMnz8f9913XyxKjjlzVmrzgiQRUTyxW4yv1PYGYr1SmxmSoocZMjyeHWw9TkSUbIQQGN47Dcu3VRkaZ+vBekwelGNSVWFifqQoSuT8GBdX8aTh1uOAksZJbSKieOMaNNjwGDHdV1sRgKKY8GCgpND84Q9/wMKFCzFy5EhIKTt8AK13Vj7++ON49tlnY1x1bEgpDa/UFgAs/O+TiCiumNFBwx/UY7uFDTMkRRkzZOiazdhPexAntYmI4o05+2rHsAU58yNFWaLmx/hYqW3CpLZIzTKhEiIiMpPbhEnt5lhOahPFwNy5czF37lysWLECn332GTZv3oyamhoEg0FkZmZiwIABmD59Os4880xYLHER5WIioBmfrLBZlLa7UImIKD4oQsBuUQy1EJdo3aLCjFXfRImCGTI0HhMmtV1cqU1EFHfMmNTefKDBhEqIEkci5se4qEKy/TgRUVJyDQx/UlvYbHANGAjXwMFwFhfDlpsXgcpCI4UCKYyvFjJjDEpupaWlKCgoOOZrU6dOxdSpU2NUUfwLaMZby7L1OBFRfLJb1LAntS2KgN2qwq4qsKoCSgxvWmKGpGhhhgyfKSu1B3BSm4go3ozonRb2OU6riqGFaRjeOw19c9zonemKQGWhYX6kaEn0/BjzSW2pa5BNtcYGsdggnKnmFERERKaxZmTAlpsHf2VFu68rDgfsBYWwZmZBdToBAFpLC/xVlaj++EPoXi8gBE5a9D4UqzWapR+uEDAlDDJQUuf69OmDM888E1dffTUuuugiuFyx+yCVKIy2HgcAG1fwERHFJXsXLcgtioBNVWBRRWunRgFICWi6hD8YhD/Yup2gVbVFqeLjMUNSdDBDhifY1ARfaamhMWx5ebCk8RokEVG8KcpyIdVhQaM32O7rbruKoiw3slNscNpVCAk0egMor/PizZX70RLQ4LSpWHX/2THq6Mb8SNGR6Pkx9pPangZAGtwPMTWLrSOJiOKUPb8X/JUVEFYbVLcLQijQfD7onmboXi9adu9Cy+5dHQ8gJQLVVbD3Kuj4GKIEp2kaFi9ejMWLF8PlcuHiiy/G/PnzMWvWLGacDgQMtKU9jCu1iYji09H7aquKgHpo4lrg0D+FACCh6xId/W2g6zHcU5soSpghw9Oyd6/hMbifNhFRfBJCoHeWC1sPNsBuUeC2WyAAeAMamrxBNLUEsbWLPbNb/BoaWgJId8XqxkiiyEv0/Bj7K3lCwDJ6JiwjToM66CQovYcB6XmAGvqKPIWtx4mI4pajqAgAIAN+BOvqEKitge5pDmsMX0X7K70jTijmPYg60atXL0gpIaVEc3Mznn/+eZx99tkoKirCHXfcgfXr18e6xLiT5rAgN8WOLJcNaQ4LnFYFFiW88G3jpDYRUVyyqQqcFgG3VcBpEbCpAhZFQFVEyBdatFhOajNDUpQwQ4ZHdTow+Bd3YMAtP0Xx969B3pw5SBkxAorDEfIYbu6nTUQUt/pkuyB1Ca9fQ3WjD1WNPjR1sHK7I6W1LRGqrgvMjxQliZ4fY/4brleVILhlOYLbVkHbsx56+S7A2wThTofI6g2RU9z6z/RcwO5G673ZxxJpnNQmIopXrgGDDI/RUftyomRx4MABfPTRR7juuuuQkZHRFi7Lysrw0EMPYfz48Rg7diz+9Kc/odRgy8RkIKVEsy+AFn8A/mAQuq5DFYDTKpDuUJHusCDNYUGKTYXDosBy1Aq/w1RFQAlzEpyIiKJDVVonsY2sFNB04x09iOIdM2R4ald8gT0P/xn7n/gHyl59AbVLP0KgsgTuvgXImDgamZPGI33CGKQMHQRbbhbE8QESgIuT2kREcWtoYfj7ah+vrM5rQiVE8SvR82PMJ7Wlz3PiF7UgpKcBsqESsq689Z/N9YAWACxWwGJrfVgdgM0JYQ39jkoiIoouW16e4TFiNqnNuyQpSoQQOOOMM/DEE0+gvLwcCxcuxLx58+B0OtvC5caNG3H77bejT58+OOuss/Cf//wHHk87OaoH6Gjt3eH9VDVdh67rACQsCuCwKnBZFbhtClJsrf90drFfKxERxY4QrauyjdD01r8/Y4IZkqKEGTI8/urqE76mt7TAe6AEzd9uRdPmjfBs2wLfgb2QLY2wuCywuq2wplhhy3DBlumGNTsrBpUTEVEoCjKchscoreNKbUpuiZ4fY/4b3u6kdsgn64CuQcnMN68gIiIylS3X+KR2rNqPSyEghWLCg6tBKXRWqxVz587FSy+9hPLycvz73//GnDlzoKoqpJTQNA0fffQRvve97yE/Px/XXHMNFi9eHLsL9zFgdJ9UAcBuVc0phoiIIkJVjF2ukGi92SkWmCEpFpghuxaorur2uTIYgAz4kTpkqIkVERGRmXqZMakdo/bjzI8UC4mYH2M+qQ0jk9qH2VzGxyAiooiwJ/JKbaIYc7vduOqqq/DOO++grKwMf//73zF9+nQIIU7Y+6a4uDjW5UaNbkJ4VvhBj4gorpmxRYTWgybriI7GDNk+f82JK7XDoTgcUFy8BklEFK/MWKldVh+jldpEMZYo+THmk9qGVmoDgM0BYfAObiIiihw1JRWKw9g2EWw/TgRkZWXhhz/8IT799FOUlJTggQceQEpKCoDWPabjcZ+bSDFlUpv7aRMRxTWj7ceBGO6rzQxJcYQZ8ohAO+3Hw2HNzoHgjZFERHErP90Bo2/TsVqpzfxI8SSe86MlZt/5EOk1Nqkt7LxDkogongkhYMvNg3f/vm6P4Y9R+3GieLN7924sXLgQb731Fr744gsEg8FYlxQT0mD7cYArtYmI4p05k9pcqU0EMEMCgNQ0BOpqDY1hy8o2qRoiIooEq0VBTqodlQ2+bo8Rsz21ieJMvObHmE5qy6Af0AKGxuCkNhFR/DM6qa15mhFsboLFnWJiVSEQAoZv8Tw8DlE3lZaW4uWXX8ZLL72E1atXt3398P41vXr1wpVXXonvfe97sSox6th+nIgo+akmrDKJ2aQ2MyTFAWbIYwVqawCD3Rus2ZzUJiKKdwUZTkOT2pUNPgQ1HRY1yiuemR8pDiRCfoztpLbP+F0vnNQmIop/5uyrXRmDSW2T2vaw9Q+Fqbq6Gq+99hpeeuklLF26tC08Hv6ny+XChRdeiKuvvhrf+c53oPSwrVg4qU1ElPySov24GeMQhYEZsmN+g63HAcDGSW0iorhXkOHE+n113T5f0yUqG32m7M8dFuZHipFEy48xntQ2uJ82ANjdxscgIqKIsuWaMKldUQ5Xv/4mVEMUnxobG/Hmm2/ipZdewscff9zW1udwiBRC4PTTT8f3vvc9XHLJJW172fREugkr7zinTUQU39h+nCg0zJChCdQYn9S2ZuWYUAkREUVSLxMmo0trW6I/qU0URYmcH2O7p7YJk9pcqU1EFP9MmdSurDShkvBIoUCacIejGWNQcrvkkkvw3nvvwedrbZElj1qJPHz4cFx99dWYP38+ioqKYlViXDG6UlsRAoKz2kREcU0IAUUIQ+/5ZtwE1R3MkBQtzJCh81dXGR6DK7WJiOJfr0yH4THKYrCvNvMjRUui58eEX6nNSW0iovhnRvtxX2WFCZUQxac333wTQoi2IJmbm4vvfve7+N73voeJEyfGuLr4IqU0ZVKbiIjin6oI6Fr33/M1KSGl5I1MlLSYIUMXMKH9OPfUJiKKf2assI7FpDZRtCR6fozxpHaz4TGEg5PaRETxLtyV2orDAVtePuy5ebDl5sKWm4+0sWMjVF0nhADM2CeEF1IpBHa7Heeffz6uvvpqzJkzB6qqxrqkuGTCdtpQTGhpS0REkacqAgEt9OMVIaAqhx+KKS3Mu4UZkqKIGTI05uypzfbjRETxLtz24y67isIMF3plOFCQ6USvDCdOGhCDm5iYHymKEjk/cqU2ERFFnC0n98gfhIDqdEFxOqE4HFBsNgiLBUJRAQFASuiBAGQggJb9e9G8Yxt0rw+enduQOmpMdAsXSuvDjHGIOvH4449j3rx5SE9Pj3Upcc/oKm2AK7WJiBLF0W/XAq3v34povTmp9c+H2pQDgJAQEJAAICWk1KBrgC5VqNF+32eGpChhhgydOXtqZ5lQCRERRVJemr3tuRBAit0Cl90Ch1WF3aLAogqoQkAIQIdEIKDDF9SwvbQBG/bVwuvXsLeyCWP6Zka3cOZHipJEz4+xndT2Gp3UFoDN+B4JREQUWYrdDmGzQfr9gJTQPM3QPOF169C83ghVRxR7119/faxLSBic1CYi6jlsqgJY9LbJ6/bJQxPZbc+IegxmyNAZ3VNbdbuhOoy3tCUiosjKdNsg9dZMKAE0eAJo8ATCGqPFH0arIKIEk+j5MaaT2tbhp0C2NEH6PK2rtn3Nbc+lzwP4u5jAsDsheOcJEVFCUJ0uBP3+bp+ve30mVhMi3iVJFHcsqoI0px36ob21dV2e8LwrbD9ORJQYLIoCzeB7tjRj34pwMUMSxZ0Bt/0/+CvK4a+uQqC6Gv7qagRqqlv/XFONYH19p+db2XqciCghWC0qrKqCgKZ3ewxvLCa1mR+JQhLTSW0lNQtI7bh1j9Q1wN8C6fUcM9l9eAIcVnuH5xIRUXxR7Mbes3UfV2pTz3HgwAGUlZXB6/VC1/WQL8hPnz49wpXFniIEFEvHe/1I2bpO7+jJbnncxDdXahMREVEyYobsmHvgILgHDurwdd3vR6C25tjJ7upq+GuqEaiuhj0vP4rVEhGREU6bikBL9ye1uVKbepJEy48xndTuilBUwJEC4UiJdSlERGSQ4jC2XYTu40rtUJSUlODhhx/Ge++9h127dkFKid69e+OMM87AjTfeiPHjx0etlkj4+OOP8fjjj2PFihWoqKhAWloaBgwYgEsvvRQ/+MEPkJkZ2p5HNTU1ePTRR7Fo0SJs27YNfr8fhYWFmDp1Kq6//nrMmDEjwj9J+5544gk89NBD2L59e9jnCiEQDAYjUFViEeLQPqsqJ66JiBKdGfcgxWKhNjNk/GGG7BgzZCvFZoM9vxfs+b1iXQoRERnksKpoaAmv5fjRvAGu1A4F8yPzYywIGZNeXERE1NNs/PGN8OwI/y/Jw2y5eRj375dMrKh9JSUlKC4uBgDs2LweRb17Gx/zwAEMGjEGALB//34UFRUZHrM9b7zxBhYsWIDGxsZ2X1dVFXfddRfuvffeiHz/SAoEArjhhhvwzDPPdHhMUVERXnrpJZx66qmdjrVs2TJceumlKC8v7/CY66+/Ho8++iisVmt3Sw7bTTfdhMceewxA91qlCiGgabybmIiIkkcgqMFrYPsaAHDYrLBaIn8/PzNkfGKG7BozJBERJZuz7/8Y+6s93T5/cK9ULLxjpnkFdYD5MT4xP3YtlvkxrldqExFR8lDsBldq+2OwUjuBfPTRR5g3b15boBg/fjzmzJkDi8WCpUuXYsmSJdA0Db/5zW9gt9tx5513xrji8Fx//fV49tlnAQA2mw0XXHABxowZg+rqarz++uvYv38/SkpKcO6552L58uUYMWJEu+Ns3LgRZ599NpqbmwEAQ4YMwdy5c5Gamoo1a9bg3XffhaZpeOKJJwAA//znP6Py83366af4xz/+ASEEpJRISUnBSSedhNzcXLhcrqjUQEREFG9MWaltfIikxgzJDElERJRsnLaOtywLRUxWaicQ5kfmx1jiSm0iIoqKrXfegYav1nT7fMXuwEn/fdfEitp3zF2SWzaad5fk8FEAInOXpMfjwZAhQ3DgwAEAwH333Ye77roL4qgrwa+99hquvPJKBAIBKIqCDRs2dBi64s2iRYtwwQUXAABycnLw4YcfHtPCyOv14rrrrsMLL7wAAJgyZQpWrFhxwjhSSpx88slYu3YtAODGG2/EI488AstRq7eWLl2K888/H/X19QCA999/H2eddVbEfrbD5s+fjxdeeAFCCFx99dV49NFH4Xa7I/59iYiI4llQ09DiM7ZS2261wmaN8kptZsi4wAxJRETUM13xl6VYv6+u2+fnptnx6T2zzSuoA8yP8Yf5Mf5Fr8E+ERH1aKrDbuh83eftVjsUQ4Qw7xFBTzzxRFuYPO+883D33XcfEyYB4NJLL8Uf/vAHAICu6zFp/3PPPfe07ncsBD799NOwzjvsscceO2FPHofDgWeffRYTJ04EAHz55Zd47733Thhn0aJFbWFyzJgx+Pvf/35MmASAadOm4emnn277869+9auQ6zRi6dKlEEJg0KBBeOqppxIqTBIREUWKgPEMJWOxVpsZ0lTMkB1jhiQiIjqRw+hKbX8s9tRmfjQT82PHEj0/clKbiIiiwmj7cQCQBvdUTFZH7/Hyi1/8osPjfvSjHyE3NxcA8N///hcNDQ2RLs2wb775BuvWrQPQ2qbn4osvbvc4i8WCu+66q+3P//73v0845uh/Tz//+c+hKO3HoIsuughjx44FAKxatQrbtm3rbvkhq6ioAABccMEFHdZFRETU45hxTY696TrEDMkMSURElIyMth9vYfvxDjE/Mj/GWuJVTERECUmxG1upDQCaz2tCJWEQinmPCCkvL8fXX38NAMjMzMSUKVM6PNZut+PMM88EAPh8vnbvJARaW+S89tprmDdvHvr27Qun04mMjAyMHj0at9xyC7Zu3Wr6z9GRDz74oO35nDlzTrj782izZ8+G1WoFALz99tsIBoNtrwWDQXz88ccAAEVRumznM2fOnLbnb775ZrdqD0d6ejqA1v8NiYiIqFXCzmkzQzJDghmSiIgoVhxWY5PaQU0iqOkmVRMi5kfmRzA/hoKT2kREFBWmrNQ2uKdiMvrqq6/ank+aNKnLO+yODpwrV6484fW9e/di8uTJuOyyy/Dqq69i37598Hq9qK+vx8aNG/GXv/wFo0aNwp133hmVdvCHW/UcX3t73G43Ro4cCQBobGzE5s2b217bvn07GhsbAQCDBw9GdnZ2p2N19e/JbMOGDQMA7NixI+Lfi4iIKGGY0j6RS7Xbwwx5BDMkERFRcjHafhwAfIEoT2onAObHI5gfY4eT2kREFBWJuFJbCsW0R6Rs37697Xn//v27PL5Pnz5tz49vabN7925MmTIFq1evBgBkZWVhwYIF+O1vf4u77roLs2bNghACmqbhgQcewHXXXWfST9Exs34+M/89RcK8efMgpcTChQsToiUTERFRNJgypR2DOW1mSGbI48eJFGZIIiKiExldqQ1EvwU58yPz4/HjREqi50dL14cQEREZZ8aktu7zmVBJOIRJbXuOXJItLS3t8uiioqKQRz56vFDO6927d9vz8vLytueapuHyyy9HWVkZAOCqq67CY489hpSUlGPOX7lyJS6++GIcPHgQTz/9NGbMmIFrrrkm5HrDZdbPZ9Y4kXL99dfjsccew8aNG/H9738fL774Imw2W8S/LxEREUUCMyQzJDMkERFRrJgxqe31R3tfbeZH5kfmx1BwUpuIiKJCD2GVtbBYoNjtUOyOo/5pO/LnBPoLtiOTJk3q8phwWurU19e3PXe5XF0e73Q62z339ddfb7s7cvbs2XjuuefabSM0efJkvPbaazj11FMhpcS9996L+fPnQ1WPfGD4v//7v3a/9/Lly9uev/zyy1izZs0JxxQXF+Pyyy83/ecza5xIsVqtWLRoEc4++2wsXLgQo0ePxrXXXovJkyejV69eIdUMHHt3JxERUaLrbB+7E45tPaHtMt7hcxXFjPXesccM2YoZ8ljMkERERCfyhrDK2qoqcNpUOKwq7NYjzx02FU6bCjUJMiTzYyvmx2Mlen7kpDYREUVJCGFQytZtD6XEoSdHvh6D/RClEJAm7OVoxhgd8R21ev3oENSRo485+twnn3yy7fldd93V6b44U6dOxZlnnomPPvoIu3fvxhdffIHp06e3vX777bd3Wcdjjz3W7tdnzJhxTKA06+czMk4gEICUMqwL6+EaMWIEAMDj8UBKie3bt+POO+8MawwhBILBYCTKIyIiihmLHjjmz6KdTCgO/38BiEP/hBSAEFCkCsAahUqPYIZsHzOk+ZghiYiIukdCQkoJeShbHn1JMjbb1zA/tof50XyJnh85qU1ERFERSvtxqWnQPM3QPM3tvq4v+IHZZUXdqlWrUFBQYNp4R9+dGErgOfoOzMOhMRgMHnMH48SJE7sc59RTT8VHH30EAFi2bNkxgdJMqqpC13UA3f/5Do9zWHeCYSTDJABs3boVQohj6g/nblkiIqJkJKWEEvKNjfLQ/8lj7oWM5IW9aGKGDA8zJBERUc8VSvvxoCbRqAXR6G1/Yk7TE//vU+bH8DA/JgZOahMRUVSYsR+2Gftyh8WsuzOPGqOgoCCs/Wq6cvR+M15v1y3ejz7Gfujf5969e9HcfORGguP3sOnK3r17j/lzR0Honnvuwb333gsAWLJkCWbOnNnl2CkpKaitrW2r3d7F70B7P9/hcdo7piMtLS3tjhMp06dPj3hoJSIioihhhgwJM6RxzJBEREQnCqX9eFccNuP7coeF+TEkzI/GJXp+5KQ2ERFFhRmT2qrdYUIlodMhoZuQKPUItk4/Oih5PJ4ujz86KKWnpwMAampqDNVwOPBFwtGB0uPxtNXckfZ+vsPjHNbdf0+R9Omnn0b8exARESUcM67sxeCCDTNkaJghjWOGJCIiOpEZk9rOEFZ7m4n5MTTMj8Ylen7kpDYREUWF7uv6zrSuCLvNhEqSy9FthA4ePNjl8QcOHGh73qtXLwA4Zg+UwsJC3HLLLWHVMHjw4LCOD0dBQQH2798PoPXn66ptUns/3+FxDuvuvyciIiKKNuMX5RJ3DUJkMUMen6AKjQABAABJREFUixmSiIgoeXj9xie17daO93nuqZgfj8X8GBuc1CYioqhIxJXaEmZcSjVnjI6MHDmy7fmePXu6PP7oNj1DhgwBAGRmZrZ9TUqJ2267zbwCDRo5ciRWrVoFoPXn62qvnfZ+vsPjHNbdf0+xoOs6KisrUVtbi9zcXGRnZ7d9/ej9eoiIiJKROVu7RX9amxky9pghmSGJiKjnMrpS26IKWNTo/n3J/Bh7zI+JkR/jpxIiIkpqpqzUtnGl9vFGjx7dtg/K6tWruzz+yy+/bHs+YcIEAECfPn1gsbTe51ZaWoqSkpIux2lsbITPhBsVujJ27Ni254eDZUeampqwadMmAIDb7T4mCPbp0wcZGRkAgK1bt6KxsbHTsdr79xQtwWAQzz77LGbNmoW0tDQUFhZi5MiRePbZZ9uOmTp1Kq644gps3LgxqrURERFFlxntx40PkYyYIY9ghiQiIkouLQZXake79XiiYH48gvkxdjipTUREUaF5jYUPxe5oC07RokvzHpGSmZmJU089FQBQXl6OtWvXdnis1+vFxx9/DABQFAVnnnkmAMDlch1z9+ELL7zQ5fe9+uqr4XQ6UVRUhKeeesrIj9Cp8847r+35e++91+mxH3zwQVsbo9NPPx1Wq7XdsYLBID788MNOx3r33Xfbns+ePTusmo3YtGkTRo8ejWuvvRZLliyBx+OBbGeZ2ubNm/HKK69g4sSJ+Mtf/hK1+oiIiKIqQVdqM0N2jBkyMpghiYiIjjDaftxhi/6kNvNjx5gfIyNR8yMntYmIKCqMth9XHHaTKgmdlK2tcIw/Ilvnd7/73bbn99xzT4fHPfLII6iqqgIAnHPOOcjLy2t77Zprrml7/sc//vGY/VyOt3z5cixatAhSShw8eBCTJk0yUH3nBg4ciJNOOgkAsGHDBrz++uvtHhcIBHD//fe3/XnBggUnHHP0v6f7778fgUCg3bFee+01bNiwAQAwatSoLtsNmWXz5s047bTTsG3btrbfHVs73QlqamrQ3NwMoPXnvvXWW/H3v/89KjUSERFFkzRjT+0o3xQJMEN2hBkyMpghiYiIjmW0/bgjBiu1mR/bx/wYGYmcHzmpTUREUWG0/bhii/6kdqK49tpr0b9/fwDA22+/jdtuuw2admyAf+2113DnnXcCaL24++tf//qY1xcsWICBAwcCAKqrqzFr1ixs2bLlhO+1Zs0aXHbZZW137l166aUYNWpUSHXec889bUFp5syZIf989913X9vza6+9Fp9//vkxr3u9XlxzzTVYt24dgNZ2QRdddNEJ45xzzjmYOnUqAGDdunW45ppr4PUe+3u5dOlSXHfddcfUHA2apuHiiy9GfX09pJQ466yzsGzZMtTX159wbFZWFr766qu2uzellLjjjjtCatlEREREdBgzJDMkMyQRESUjo+3HYzGpnSiYH5kfY50fhWxvPTkREZHJ1t/wfXj37e32+Y6iYox58tmuDzSopKQExcXFAID1W7ahd+/ehsc8cOAAxgxv3Vtl//79KCoqMjzm8RYvXoxzzjmnrfXNsGHDcMEFF8DhcGDZsmVtLX8A4K677sJvf/vbE8ZYt24dZsyY0bbXi8ViwTnnnIMJEybA5/Nh3bp1+OCDD9rCZL9+/bB69Wrk5OSY/vMc75prrsFzzz0HAFBVFeeeey5OOukk1NXV4bXXXsO+ffsAtLYxWrFiBcaMGdPuOBs2bMApp5yCpqYmAEBxcTEuvfRSZGZmYs2aNXjnnXfawvhVV12F559/PuI/GwA8/fTTuO666yCEwI9//GP89a9/bXtNURQIIfDggw/if//3f4857+abb8bDDz8MIQTuvvtu3HvvvVGpl4iIKBq0gB9BX4uhMSwOF1SLtesDDWKGZIZkhiQiIooPp9+zGBUN3V9cM7pPBl762TQTK2of8yPzI/Nj+OJ6UlvqGuBrgfR5IH3Nh/7pgfR6AJ8HsNphG3tGrMskIqIQfP29K+CvKO/2+a6BgzDq0X+aWFH7jg+UhSYEyoNRCJQA8Prrr+P73/9+WyA8nhACt99+O37/+9932Ipz48aNmDdvXrt3SB5t6tSpeOWVVyL2sxwvGAziuuuuawuV7cnNzcVrr72G6dOndzrW0qVLcdlll6G8vOPfx/nz5+Opp546YU+cSDn//PPxzjvvoLCwELt27Tqm5U9ngdLn82HgwIEoLS3FpEmTsGLFiqjUG89ka88uSKkDugap64DUIXW97WuqMwWK5cS2SkREFF+0gA9Bg91+rA4XlBhMajNDto8Z0lzMkObR/X4Eamrgr6lCoLoa/upqBGqqWv9ZXQ1bXj4G/O/tsS6TiIhCMPWu99HQ0n6751CcPDAbz9x0iokVtY/5kfkRYH4MlyUm3/UQvbEGsqWxbbIahyetD09cB7r48Gp3RadQIiIyzPCe2naHSZUkr0suuQRTp07Fww8/jHfeeQd79uyBz+dDQUEBpk+fjptuugmTJ0/udIxRo0Zhw4YNeOWVV/DGG29g9erVqKiogK7ryM/Px8knn4wrr7wSF154IRQleruYWCwWPPvss7jmmmvw5JNPYtmyZSgvL4fNZsOQIUNw/vnn48c//nFId2xOmzYNW7duxSOPPIL//ve/2LFjB5qbm5Gbm4upU6fihhtuaGurEy3r1q2DEALnn39+u3vYdMRut+P888/H448/jm3btkWwwvghdR1SC3Ywaa0Buh7CGMZakRERUXSYcgt+DPbUTjTMkMyQPUHzzh3wl5cdmqSugr+m+pjJ62BDQ6fnO/r0jVKlRERklNH2404b2493hfmR+TFWYjqpHdiyHLKu+6v24GuBlDqE4NbgRETxTmvxGDpfcUR/T21dtj7MGCdaCgsL8cADD+CBBx7o9hiqquKKK67AFVdcYWJl5jjjjDNwxhnGu7RkZGTg7rvvxt13321CVcZVVVUBAPr2Df9i2eG7eg+3M0p2Ugsg2HziPj9hCWHim4iI4oApNyFFf1KbGZIZMlqYIUO36/9+j5bdu7p9fqC6ysRqiIgoUgJBDQHN2Gd+RwwmtZkfmR+jJdHzY0wntYXDBWP/jUnA7+WKbSKiOKf7fJB+f+sfhIDqdEJxuqA47FBsdgiLBUJVW1fSSAkZDEL3+Y56eKE6uFKbkldqaipqamo6bNvUmYqKCgBAenq62WXFJxPuzpWc1CYiSgxBH4TfC0AAQkAqamv7QqEceohDr6H1n5CHVnfLI8u8uVCbkhgzZOhs2TmGJrW15mZo3haoDqeJVRERkdlqmvxt+U8RAm67BS67CqdVhc2qwqoKqIqAOJQdA5qE16+hJaDB69fgDWhcqU1JLdHzY2wntU2YjJY+jynjEBFR5PirKo/8QUpoHg80T8crtxW7A7a8PDiKimHPzYMtLw+pY8ZGodJjSSlb9+c1YRyizvTv3x/V1dX4/PPPwzpP0zS8/fbbEEKgf//+Eaouvghh/MOllJzUJiJKCFoQQjuyH2KX89OKCkVRAdUCoaiAYolJZzdmSIoWZsjQWbOyDY8RqKmBWmh8v1MiIoqcykZf2x7OEkCTL4gmX7DD4112FQUZTgzMTkVBhhMFmU5MHdx1W2mzMT9StCR6foxp325hdxseQ3qNtbMlIqLI81dWhHW87vPCu38fGr5ag8oP3sWBfz+D+rVrIlRdJ3WY+CDqzFlnnQUAWL58OZYsWRLyeQ888AB27WpdcTJr1qyI1BZ3zNgblXtqExElhnDfr3UNMuiH9HmgtzRCb66NTF1dlWHig6gzzJChs2Ubn9T2swU5EVHcK6trCet4j0/DzvImfPFtJV5buQ8Pv/8t1uyqjlB1HWN+pGhJ9PwY40ltc1ZqExFRfPNVhDep3R57bp4JlRDFpxtvvBGOQy32L7/8cixfvrzT471eL+688078+te/BgBYrVZcf/31Ea8zHrS1nTWA7ceJiBKD1DpeVROSw+3KiZIUM2TorCZMageqoz/JQURE4SkNc1K7Pb0yuNUEJa9Ez48xbT9uxl7YnNQmIop/4a7Ubo8tN9eESsIjj9qO0eg4RJ0pKirCfffdh9tvvx3V1dWYPn06Zs6ciYkTJ7Yds2nTJjz55JNYtWoVFi5ciOrqakgpIYTA7bffjn79+sXuB4gyoSiQmoGJaam3/bsjIqL4JKUEDG4XIZTYXPJghqRoYYYMnS3beCtZPye1iYjiXlmt1/AYsZjUZn6kaEn0/Jjwe2rD12x8DCIiiihTJrXz8k2ohCh+3XrrraioqMCDDz4IKSWWLFmCJUuWtE28PvPMM3jmmWcAHLtH0vz583HffffFouTYUVTA6Oo9Kc1pZU5ERJGhG3yfBwBVNT4GUZxjhgyNOXtqs/04EVG8C7f9eHsKMrlSm5JbIufHGLcfN/7mwJXaRETxL1Hbj+vSvAdRKP7whz9g4cKFGDlyJKSUHT6A1jsrH3/8cTz77LMxrjr6hMH24wAgDa7+IyKiyJJamPtptyNWK7WZISnamCG7Zs6e2lypTUQU74y2H1cVgdxUu0nVhI75kaItUfNjbFdqW2yAagW0QLfH4KQ2EVH8M7pSW3W5obrdJlUThqP+8jY6DlGo5s6di7lz52LFihX47LPPsHnzZtTU1CAYDCIzMxMDBgzA9OnTceaZZ8Jiie1OMrEiFBPuy9Q1QO2Z//6IiBJCIq/UZoakGGCG7Jw1MwtQFEDv/o2N3FObiCj+GZ3Uzk2zw6LGYC0o8yPFQCLmx5hXIRwuyOb6bp/PSW0iovgmpTQ8qW3Li/4qbaJYmzp1KqZOnRrrMuKTCZPa0sAFTSIiirxEXqlNFEvMkO0TqgprRiYCNd2fmPYbOJeIiCIvENRR1egzNEZBDPbTJoq1RMqPMf+EJ+zGJrXh90LqujkrdoiIyHRaUyN0r9fQGLYYtB4HAP3Qw4xxiMg8Qpiw8o7tx4mI4po0YaW2iNFKbWZIovhkzc42NKkdqK6ClLJtv0kiIoov5fVewwuVY7WfNvMjUWhiPxNsdxkfw8/V2kRE8cqM/bRjNalNRHGKK7WJiJKfCSu1wZXaRHQUW5axfbV1rxe6h9cgiYjildHW4wDQK50rtYniWcw/4YlwJ7WlBCBb/ylaL2hqteWwFKSYXxwRERlmtPU4ANhj1H5cwpytaLibDXXlueee6/a5iqLAbrfD7XajV69eGDJkCFJSkjsXCRHmpLY8lB2lBugahNQBLQC4UiNTIBERGSZ1g5PaQrQ+YoAZkqKFGTI81uycsI6XUkLqrQ+hWgEING77FhnjJ0SmQCIiMqTMhEntWK3UZn6kaEn0/Bifk9qqBbC5IKy21g+hug4E/ZB+D+A7+o3p0IfcgLG2tkREFDn+BF6prUsJ3YREacYYlNwWLFhgWhtDIQTGjh2Ln/3sZ7j66qtNGTPudPTvSiitL+kS4tAENvRg6wT2Cf8d8r9LIqJ4JaVsff82QrHErEUwMyRFCzNkeGzZJ67UVlwuWDOzoLpTIIQKPagh2NSMQE0tgrW1Rx3ZukdroLomStUSEVG4zFipHas9tZkfKVoSPT/GfFJbySmCRVEhtWDr/tjeRsimOsjG6tavhUA2dH8/HCIiiqzmnTsMj8H249QTSJM+eEgp8fXXX2PBggV488038corr8BiiXnkM5UQAoozFeKoSWsZDABBHxBifoQWhNQ1CCU2+60SEVHHpK4ZXqrC93fqKZghQ5c59VRYMjKhtXgRqKuHv7wcnj174dm9G7o3tAUznp07gVmzIlwpERF1x7cHGwyP0SvDYUIlRPEtkfNj7NOplAhu+NTQEHojJ7WJiOKV90AJAEBYbVDdLgihQPf7oDU3hzxGTNuPmzQOUWdefPFFaJqGu+66C/v27YOUEmlpaZgzZw7GjBmD7OxsSClRV1eHTZs24YMPPkBlZSWEEHC5XLjooosQCARQX1+PzZs3Y9++fQCA//73v7j11lvx17/+NcY/oflEcy2kL/T3kXYF/YCN+2UREcWdgA8i4IEUSuu+2IqltUtHGBdfhBq7yx3MkBQtzJDh0Vq82PHAHw2N0bxzp0nVEBGR2fZVNQMCcFhUuO0WCAF4AxqavKF3AIpp+3GTxiHqTKLnx5hPagtXWuve2FLv9hiysQZSypi1FiMioo75y8sAADLgR7DOf8xrwm6Ho6AQ1qwsqE4XIAT0lhb4Kyvgq6yA3tICCBH23mdEiebyyy/Htddei71790IIgV/84he4++674XS2/2EqGAzikUcewc9//nN4PB7k5eXh//7v/9peX7hwIa677jrU1tbikUcewY033ogRI0ZE68eJDosNMDipLQM+CE5qExHFn4AXQgug9RO+r+3LrRfpBGCxQVgckKoVUFRAAND11hXeh/fi5kpt6gGYIcPj7NvX8BjNOzipTUQUj3RdoqS2BUII+DQdPs9R1yAF4LZbUJzlQnaqHU6bCkUAjd4gyuq8KKttQUtAg9OmIs1pjd0PQRQFiZ4flYiNHCKhqBApmcYGCfohWxrNKYiIiEwTqKuDv7LjPbWlz4eWPbvR8NVa1H6xFLXLPkfDhm+gOJ3IPv1MFP/wRxh016+hWGMTKHVp3oOoM++//z6eeeYZCCHw0EMP4f777+8wTAKAxWLBz372M/zrX/+ClBJ//vOfsXTp0rbXL7zwQixatKjtz08//XRE648FYbUbHkMGfV0fRERE0Rdofz9EAUBAQgR9gLceorkKorEcoqEcoqUOigxCsdqhulIh7LG7aYkZkqKFGTI8lpQU2AsKDI3hr6hAsIHXIImI4s2BWk+HK7KFEPD4NXxb1ojl26vw8aZyLN5Yjm/21iHdbcUFk4rwiwtH4v/mj4/ZwknmR4qWRM+PMZ/UBgCRlm14DMkW5EREccezc3vY50i/H83fbkXlu29j/2N/R+UH70WgslCLae1yafTB3j/UlccffxwAMHr0aPzsZz8L+bz58+djypQpkFKe0N7n1FNPxfTp0yGlxGeffWZmuXFBWGyGx5ABf9cHERFR1El/+5PandICQEsD0FgBWVMCoXe/G5xhzJAUJcyQ4XMPHGh4jOZdXK1NRBRvNh8Ifz/tloCGb/bW4eUV+/D7RZvxztelEagsRMyPFCWJnh/jYlJbSTVjUrvGhEqIiMhMzTvCn9Q+nnvQYBMqIYpvK1euhBAC55xzTtjnnnnmmQCA5cuXn/DahAkTAAAHDhwwVmA8stgAGLyDOuiDDGN/ViIiijwpdSBgsJOGEIAJHT2I4h0zZPhcJkxqe7ivNhFR3NlyoN7wGCN6p5lQCVF8S/T8GPM9tQFAmDCprTdwpTYRUbzxmDCp7YrhpLYOCd2EWxzNGIOSW3V1a45xu91hn2u3t160r62tPeG1nJzW/eirqqoMVBefhGjdUxVGWohLCWhBwMI9s4iI4kbAB8NLTKyOmLWOBJghKXqYIcNnykpt7qtNRBR3zJjUHt473YRKuof5kaIl0fNjfKzUZvtxIqKklOgrtc1o+9PW/oeoE1lZWQCANWvWhH3uV199BQDIzj4xT5WXlwMAUlJSDFQXv4TVhBbk3FebiCiudKv1+HGENXb7aQPMkBQ9zJDhcw0yYVKbK7WJiOKKlBJbutF+/HjDCmM3qc38SNGS6PkxLia1hd0F2Ix96JTN9ZBawKSK/j979x0eVZX+Afx77p2aSSa9kkbvXURQiooFFhsq6Iqrq6uua193ddct6rr+XEVdK9a194KKgFgB6UjvLSEhvWcyk6n33vP7IxLAtJm5N5OZyft5nnk2zD3nvS8uSd65pxFCCFFLanbAU1GuKoYYGwdDWrpGGRESviZMmADOOZYuXYotW7b43W/Hjh1YsmQJGGOt2/ycaM2aNQCA/hqsSAlHTKfB1rJqt7glhBCiLQ0GtdU+XyAkUlANGThznz4QDOomRjoLC8EVRaOMCCGEqFVlc6Oh2asqRp9EM+JjaBc3Ev0ivX4Mi0FtQItztTm4ve2Sd0IIIT1Di3PGLAMG9uzWkVy7FyGdufbaawEAsixj9uzZ2LBhQ5d9tm7digsuuACSJAEArr766pOuv/fee9i2bRsYYzjzzDM1zzksaHBeKpfUffAlhBCiLe7TYKW2waRBJsGjGpKECtWQgWOiiJh+/VTFUNxuuKPwvHFCCIlUWqzS7smtxwGqH0noRHr9GBZnagMAsyYDdaWqYij2OggJaRplRAghRA3n4YOqY/TkedqEhNKcOXMwc+ZMfPXVV6iursaUKVMwc+ZMXHTRRRgxYgQSEhKgKAoaGhqwZ88eLF26FMuWLYMsywCA6dOn4/LLLwcAlJeX4/rrr8e3334LANDpdPjd737XY3+37sR0Gmw/Tiu1CSEkbHDOAZ9bfSB9zw5qExIqVEMGJ6Z/fzj271cVo7mgAOacHI0yIoQQooY252lbNciEkPAX6fVj2AxqC3FJkFXGUJq69wByQggh/ov087QB7c6iofNsiD8+/fRTnHfeeVi9ejVkWcbSpUuxdOnSDtvzn/9hTZo0CZ999lnr+1u2bMHXX3/dusvBfffdh4EDo3OCCBN1gCACiooqUvJCkWUIoqhdYoQQQoIjedQXTnoTGOvZTemohiShRDVk4CwabIvZfPgwUqZPV58MIYQQ1bQZ1O7ZldpUP5JQiuT6MWy2H2dBbD/OOQfnSssLDErlkW7IjBBCSDCcGgxq9/RKbQVcsxchXTGZTPjhhx/w1FNPITEx8ec6p+OX1WrFww8/jFWrVsFqPT6j+ODBll0SrFYrFixYgPvvv7+n/kohEdS52lwBJC+YzwXmcQBu9VuVEUIIUY9rcJ42C4PztKmGJKFENWTgYgYEPqjNOYciK1AUQBH0qPlhVTdkRgghJBh7y6Ng+3GqH0kIRXL9GDYrtVlsIsBYp1NJOOeAwdTy8FKWALfjhJU5MrgsgUteTbaiJIQQEjzZ7YKrtERVDMFshimrj0YZERIZRFHE7bffjhtvvBHfffcdli1bhsOHD6OqqgoejwdJSUkYNmwYpk+fjjlz5iAmJqZNjFmzZuH000/H+PHjodfre+BvEWJ6A+B1dt6Gc4ABTJHBJC8g+066zLwuwJLYjUkSQgjxiwaD2rT1OOmNqIYMjD8rtTnn0CcmQbDEQnZ74KmuAff5ACiAV4KrtByKJEHQhc2jVUII6ZVq7R5U29QdX5NmNSIlLogJ84REsEitH8Om8mKiDsySAO5oaHlD0AGxiRDMseDg4G4n0FQLuBzgcLQfhCtQ6sohpueHLG9CCCFtNW7aCCiKqhiW/gPAhB7eUESjrX9okiQJlMlkwuzZszF79uyA+w4dOrQbMgpfTGc8+VtM1IGJeoArYLKvZYCki/NZuasJLDGrW/MkhBDSNe5Sv8omHFZqUw1JegrVkP7Rx8fDkJoKb00NAEAwmWDu2xfG9HRwmcNTWwvHoQK4KmsA1LQbQ3Y6Yd+zF/GjR4Uwc0IIIb+0Ym+l6hg9vUobANWPpMdEWv0YNoPaAKAbeAq41wPudUOx14HXlUKuLw8ohlJbQoPahBDSw1zFRa1fi3FWMACSwx5QddbTW48TQiIDM5ohxKUAXAa8bsDjABz1COiTnLsZXJHBBDpXmxBCegpXZMDZCDABEPUtr5YrgQXSh8GgNiEk7OXddCNktwc+WxMchw6jcfNWNG7bFVCMhp8206A2IYT0sKKaZggiAwNgNemhcA6b09dlvxOFxaA2IcQvYTWozSUffDu+VxVDrilBdG+SRAgh4c++c3vr17L9+IobwWiCMSsTgtEEubkZ7rLSDld0x/Tv+UFthXMoGkyT1CIGiQ5Hjx5t/To3N7fd99U4MWavIeiAuqNtthQPDG851iaGPsgSQkiPcTWBKTIAufVnOgdajikzWFq2FRdYy1FkrceQ/YLO2PM7/YBqSKI9qiG152204/DjT6qK0bBpM/J/d51GGRFCCAnG5iP1EAQGALB7JQCAqGOIMejQJ9EMo06ArdmHo3XNUDoorYZkWdu/EEJUPxKtRWv9GFaD2kJCuuoYvKkW3OsKjy3HCCGkF5Kbm+HYu6fda4rHDdeRI61/NmT1gaV/f+jjE6B4vXAdOQJnUSG4zwdLGKzUljkgq9tFvTUOIQCQn58PxhgYY5Akqc37avwyZm/BGAM3WlpW96nAXU1gNKhNCCE9hjc3tHmPAS07/XgcLS8AnAmA2QpmtICLupZBbp8LkCUwQ3icp001JNEa1ZDaixuufrvMpl27IbvdEE3h8bOHEEJ6m1q7Bwcr7W3eZ4zB5ZNxuPr4MbZ902MxKDMO8SYDnF4ZhyqacKjKDknmGBYGK7WpfiRai9b6MawGtVlsImC0AJ5mVXGU2lKIWT0/GEIIIb1R087t4HIHq2d+wVteBm95GQCA6XSIHTocWVdeDXN2Dsy5ed2ZJiE9hncwa7aj90nXmDkOXOWgNlxtPwgTQggJIT9/jjOutLR1NrYMeuuMgCUBsCQB5p5fZUNId6EaUltxQ4dAtFggNwf/DJL7fLBt34mk007VMDNCCCH+Wn+41u+2xXVOFNc5AQB6kWFsfhJuG5uFnMQYZCTQ5CQSnaKxfgyvQW3GIKZmQy49oCqOXEOD2oQQ0lNsWzYH1Y9LEuy7dsC+awfiJ5yKpKnTNM4scLT1D9Ha1KlT250N2dH7xE9aDGJ4neCyBCaGVXlMCCG9Avd5AK8ruM6SB7BVAbYqsLwxmuYVLKohidaohtSeoNMhYdxY1K1eoypOw0+baVCbEEJ6yIZD/g9qn8gnc2wqqMOmgjqcNyoT54zK1DizwFH9SLQWrfVj2D21E1JyVA9qK7UlGmVDCCEkULYtP6mOET9+ggaZEBJ+Vq5cGdD7xE96EyDqVZ6rDcBtByyJ2uRECCHEf2p32wBafg8YYtTHISQMUQ3ZPRJPPUX1oHbjT8FN6iaEEKKOovCAVmp3ZPLAFA2yIST8RGv9GJaD2mrx5kYoLjsEc5wGGRFCCPGXu7wMnopy1XHix52iQTbqKZxDplmShIQ9xhi4OQ5w1KuKw11NYDSoTQghIdfeedoBsySEzYoDqiEJiQwJE8arjmHftx++piborXT8ASGEhNKBiiY0NHtVxzmtf3gMalP9SIh/hJ5O4JeEmDgwS7zqOEoNrdYmhJBQs21VP0vdkJoGU06uBtmop/Dj2/+oe/X034SQ6MdMGjxIpHO1CSEk5DjngNOmOg6LCZ9JSVRDEhIZLP37Q5+k8mcH52jcslWbhAghhPhNi1XaA9JjkRYfHudpU/1IiH/CblAb0Ga1tlJbqkEmhBBCAhHsedonih9/StissiGkpymKgqqqKuzfvx91dXUnvU9+QYsdenxucEn9TG9CCCEBcDsARVIfJ0b95HhCogXVkP5hjCHxFPW7hDX+tEWDbAghhARifZDnaZ9o0sBUDTIhJDpESv0YloPaYqr6QW25tqRlxjchhJCQUCQJTTu2qY4TLluPA4CsaPcixF+SJOHNN9/EjBkzYLVakZWVheHDh+PNN99sbTNp0iRceeWV2L17dw9mGl6Y3gjojOoD0WptQggJLacGW48bLWA6g/o4GqEakvQEqiGDk3Cq+s+fDXSuNiGEhJTTI2H7UfU15KQByRpkow2qH0lPiMT6MSwHtYXkPqr6c87BnXYodWUaZUQIIaQrzfv3QnE61QURBFjHqj/XjJBItWfPHowcORLXXXcdVqxYAafT2e4kvb179+Kjjz7C+PHj8dRTT4U+0XClcrU2VxQojZUaJUMIIcQfvLlRfRBL+Gw9TkhPoBoyeImnqPv8yTlHc8EROA4XaJQRIYSQrmw+Ug9JVreg0agTMDY/SaOMCIk8kVo/6no6gfYwYwyYNQW8yf8tJFr+Y3OAiQDngCxBriqGmJLdfYkSQghpZdv8k+oYlkFDoIvTYAthjRw7j0aLOIR0Ze/evTjjjDPQ1NTUWkQaDAZ4vSdvh11fX4/m5mYwxuDz+XD33XfDYDDgD3/4Q0+kHVaY2QpuD2wLMs4VQPKByzLgcwMuB3j2UDAWlnM/CSEkqnBZAtzqd8hgMQnqk9EQ1ZAklKiGVMec3QemrEy4yyv87sM5BzggGE2ALENxe1C/biNiB/TvxkwJIYQcs06DrcfH902CSS9qkI02qH4koRTJ9WPYPq0T/TxXmwu6llU5oh6QJMDnAWQfAECuONydKRJCCDmBVudphxOFc8gavKigJF2RZRlz5syBzWYD5xznnXce1qxZA5vN1qZtUlIStm7dinPPPRdAy0O1e+65B6WlpaFOO/z4uVKbcw7OORSfF7zZBu5ubhnQBgBFArfXdR6AEEKINpxtf88FjAmqd+rQGtWQJFSohtRGwgT/PocKMTEwZedAF2sFlxTIzU4obg8AoOaHld2YISGEkBOtP1SjOsZpA1I0yEQ7VD+SUIn0+jFsB7WFjs7VFkSwhAyw5D6A0QJ4nOBNdYCn7Za33FYDJYDV3oQQQoLjrqqEs7hIdZxwG9QmJFTeeustHDx4EIwx3Hbbbfjqq68wefJkGI3tnxE9ZswYfPXVV7jtttsAAC6XC6+88kooUw5LTNQDBnO717hoANebwDnAnU3gjgbA7WjZ4eeXbWkLckIICQml+ghUP3aLiafdNUivRTWkNhI7GNQWTCZYx4xCwoQJMKZlQGq0w1lYBF9DY5u2tq3b4a6s6uZMCSGE7K+woarJrTrO5IHhNahNSKhEev0Ytp/8hOSslhnXjIElZkDMHwUhdziYJQFKzVEolUdaHkZ2QSo9EIJsCSGkd2tcuxrc62n9sy4hEWKMJaAYosWC2MFDtU5NFQWAwjV49fRfhIS9RYsWAQAyMzOxYMECv/s99thjyMrKAgB888033ZJbxDH9vFpP1INbEgFLUsuAtr0WvL4c3FEPKHKnIbitGryLNoQQQtThigyloRJKQw3kpgYoHjc4C3wLSBYTfudpUw1JQoVqSG0k/HyuNhNFxI8ZjT5XzEXmJZfA1CcbjZu2oX7tBrhKy7qMU/3Nd92dKiGE9Ho/HqiBzBhEvQBRx5BiNcJiDOyU3TSrEf3SYrspw+BQ/UhCJdLrx7Ad1GY6A/QTZkE3dDLAAenQFsgF26DU+3/GDQDIJfvbPdycEEKIdmq///akP0uNDZCdzYBOB3N+X5j79QfT6TuNYR0zDkwMn7NsAEBWuGYvQjqzbds2MMZwwQUXwGAw+N3PaDTiggsuAOccBw8e7MYMI4g1DUjKbhnIri2BUnm4ZeW1LPkfQ5HBabcfQgjpVrzhhJ/NsgTutEOpr4TcWAvZ4wXXGVuOGeuKJaFb8wwG1ZAkVKiG1IYxJRnDHnsEfW/5AxSfjJK33kfZh5/AsS+whTJVX9EEAUII6U6cc3y1s2V8iDEGJghodEtwKwpMJh0GZ1kxID0WosA6jTNpQAoY67xNqFH9SEIl0uvHwKawhBi3N8C3c4W6GI4G8MZqsMR0jbIihBByImfRETgLDrd/UZLgKjoCABBi42AdNg6C0QxXUSHcJUdPaho/fkJ3p0pI2KqtbRlAzcvLC7hvTk7LkS0Oh0PTnCIV0+khl+wFlAAGsdvBGyuBBKofCSGkuyi1Je1f4Bxw2qD8fN42i0uGEPfzamy3HeAnrD/RGQG9qZszJSR8UQ2pneYDh3DkBXVbadr37IPzaAlicjs4UpEQQogqu0ptKG1wtXmfMQZJ4SiobQYAJFqNGJEVD73IsL+8CSV1Jx9dO2lgakjyJSQcRXr9GLYrtQFAzB6sSRypdL8mcQghhLRVt+J7v9opDjtsmzaiYfVKcMmHtIvnoM811yHxjKkQY2PD8jxtzjkUDV60YwjpSlxcy5bZdrs94L7V1dUAgPj4eE1zilRMEMHi01TH4U014IGs7iaEEOI37vOA2/w7e5bb6yCXH4ZcUQiFC4A1A0jIAowWwJIYdqtsAKohSehQDamdtPPP1SRO9fJvu25ECCEkKMdWaXel0enDmsO1WHGgBkajDr+Z0he3nDMQZw5NR5xJh4kDkrs508BR/UhCJdLrx7Ae1BbMsRBS1c9ulEtpC3JCCOkOXFFQtyLwc8M8FRWo/nwRyt58Dd7aGuTdeieM6RndkCEhkaFv377gnOPHH38MqJ8sy1iyZAkYY+jbt283ZRd5WIIGP0+4At5Uoz4OIYSQNpT6spYV2YHgCnhDBeTiXZBL9rYs2E7K7pb8CIkUVENqx9I3D7FD1C+uqaJBbUII6RY+WcG3eyoD7ldU24z3Nh7FS6sK4fBJ+Ndlo5AQ4/+Wy4REm0ivH8N6UBsAxOwhqmNwpx1KXbkG2RBCCDmRffcueH+eoRWs5v374K0MvCgNBZlr9yKkM+eddx4AYN26dVixwv+jVx555BEUFhYCAGbMmNEtuUUiFpfk3zmsXeCN/s0CJ4QQEhheW6ougOSDUl8GpsHP+u5ANSQJFaohtZV+/jmqYzQfLoDjUIEG2RBCCDnRusO1sLl8qmJsO9qIGodHo4y0RfUjCZVIrx/DflBb12cgwNSnKdMW5IQQorm677WZhZ585lmaxNGaFtv+HHsR0pmbbroJJlPLmaDz5s3DunXrOm3vdrtx33334f777wcA6PV63HDDDd2eZ6RgTADT4Dxsbq8Dl9R9aCaEEHIy7naAO+pVxxGSssGE8HykQTUkCRWqIbWVpsGgNgBULf9GkziEEEKO83fr8c6IAsM5w8Nzp0iqH0moRHr9GJ6fAE/AjDEQ0gI/sPyXpNID4IqiQUaEEEIAQPF6Ub96leo4cSNH09bjpNfLzs7GQw89BM456urqMHXqVMyYMQP33ntva5s9e/bg1VdfxY033ojc3Fw8+uij4JyDMYY///nPyM/P77m/QBgSNNmCnPt95ishhBD/KGpXaf+Mpag/qoyQSEc1pLbMWZmIHzNKdZzq5d/SMYiEEKIhu9uH1QfUHw92+sAU2nqc9HqRXj/qeuzOAdDlDIG36oi6IB4nlJoSiOnqB8gJIYQAjRvWQXY2q46TfFb4bncnKxyyov5hhBYxSPS7++67UV1djQULFoBzjhUrVmDFihVgjAEA3njjDbzxxhsAcNJDsvnz5+Ohhx7qiZTDmyUR0BsBn7qtxXhjJZBMZ7YSQogWOOdQakvUBzJawGIT1cfpJlRDklCiGlJbaeefA9v2napiuEpKYd+zD9YRwzTKihBCerfv91bBK6tfsDhzZKYG2XQPqh9JKEVy/Rj2K7UBQMwaAAii6ji+o3s1yIYQQggA1P7wneoYTK9H0pRpGmRDSHR49NFH8fnnn2P48OHgnHf4AlpmVr700kt48803ezjr8MQYA9NgtbZir4PicWqQESGEEO5oADzqJ0UKKdmtD1wIIVRDaint3LMBDY42qFiyTINsCCGEANpsPW4x6nDGoFQNsiEkOkRq/RgRK7WZ3ggxox/k8kPBBeAKAAFK8W7wMWeB6Y2a5kcIIb2Nz2aD7aeNquMkTJwEXWysBhl1D67RWTS09RwJxIUXXogLL7wQ69evx6pVq7B3717U19dDkiQkJiaiX79+mDp1Ks4++2zodBFRyvUYISEDck1xUH05V8A9bnCfF6z0AIT+YzXOjhBCeh9ep8EqbQBCmG89TjUk6QlUQ2rDmJKCxFPGoWHT5oD7HvueZXoDyj9bgoF/vB2Cgba5JYQQNSptLmwtblAdZ8awdJj06hdOdheqH0lPiMT6MTyy8IOYMySwQW3OW1Z3CyLgcQKQAQBS0S7oB57SPUkSQkgvUf/jSnBZVh0n5exzNMim+8gAZA1qQfX/pUhvNGnSJEyaNKmn04hsZitgMANel99duCy3vFwOQGn57pWriyD2HQ2mwaodQgjprbiiQKkrUx2HWRLBTOE7KRKgGpL0LKoh1UufeW5Ag9qccwgmE0SjCb6GRnCPF/B4UbX8O2ReOKsbMyWEkOinxSptAJg5Kny3HgeofiQ9K5Lqx4h5Midm9ANEfdcNmdhytpaobzlD8RfbRUoHN9NsFUIIUani4w9UxxDjrIg/5VQNsiGEkPb5uwU55xyciVB8EpSmevBmW+uANgDA44RSV9qNmRJCSPSTyw4Akld1HBbmq7QJIZEvdcaZYLquV/MJRhNiBvSHGBsH2emGr6HxpOtH3/mAnkESQogKnHN8uOmo6jjpVhPG5iVqkBEhpKdFzKA20+lbztZu96IAISUbQlIWoEjgjdUdrsjhjgYoFQXdmCkhhEQ3+9498FZXAQBEiwUI8jzD5GnTIej9mKzUg5Sft/7R4kUI6RlCJ4PaXG8EN1jAPR4o9ZUtZ712QC7d3x3pEUJIryFXFkK2N0LxegAW5KMIxiAk99E2sW5ANSQhkU0fH4+kyae1e00wGJAw4RTEjxsL2SfBceAwpCZ7u23te/bBtm1nd6ZKCCFRbeORejS6JQgiQ5xJF+wjSJw/MhNCsJ1DhOpHQvwTMduPA4AuZwjkkn0//4mBpeZAjE2C0lgJpfKI33F8hzZ3PEBOCCGkU5WLPm79Wm5uBgCIcXEQTWZ4a6r9jpN81gzNcyOEkF9i5jjAZAHcLT+voDcCliRwdzOUmhK/Vw1yWw0Uez2EuKRuzJYQQqKTYqsBb6gEAHCXA7LLAej0EKwpYFw+eXeMTrD4dDC9sTtTJYQQAED6zPNQ9+NaAAATRSSedirMOdlo2rMf9Rt+8jvO0Xc+QMK40d2VJiGERLX3Nhxt2YGNMbhkDkEUEG/SQS8IqGpy+x0n3LceJ4T4L6IGtYX0/JZXai6Y5INUtBNSEKuulcojUJpqIVhTuiFLQgiJXu6KcjSsW9Pmfdluh2y3QzCbEdO3H7w1NZ0OcBszMxE7dHh3pqoJRQEURf0MR0XRIBlCSNCE5BwoLjuYzgSlvhzKkV0AAv/elksPQBgaGWcMEUJIOJGKd7fzpg9KfcsZiUJCGpjZArjsQCerS4QI2XqcakhCIl/K9ClInDQRyaefBp+9GRWffYnaH9cFHKfmuxVwV1TClNn1kTiEEEKOO1Rlx09F9Se9xxhDk0cGICPeYkB+UgzKGlyodXg6jDMoIw7902K7OVv1qH4kxD8RNajNBBG6vBHwblqq+iwu6eBmGE45X6PMCCGkd6j67NNOqyPF5YJj7x5AEGAdPwG6mBjYtm2F7Dh5O7bks84BC/NtfwBA4YCswa49GtSkhBAVWFI2lG3fgNvrVMVRqovA+48BM5g1yowQQqIfdzmgVHW+s5rSWA00AswS37K9uOQBmhtPbiTqwBIjY1CIakhCIp/OYkH6zPOw/9+PQnH5vxrwl7gso+T9jzHwj7dpmB0hhES/97s4S7vZK2NPpR16gWHK4FToBIZNhfVo9kgntZsVIau0qX4kxD8Rc6b2MUJ8quoBbQCQinaDd3DuNiGEkLYkexNqvv7Kv8aKgqYtP6F+9SrE9B+ArF9fjcTTp4D9fIZ28plnd2OmhBByMiYIYMYY9YG4Arn8sPo4hBDSi0hH93S6+vpEvNkG+eheyLVlQGIWWEZ/4Oef3ywpC0wQuzNVQgg5SeyAfqoGtI8p+/hzyBrEIYSQ3qLa7sY3e6r8autTONYX1mP14TqMyU/E76b1w5RBKRAFBoEB546IjEmRhBD/RNRKbQAQrMkQMvtBqShUF0j2QSrcAf2Q07RJjBBColz10iVQPIF/ELfv2Ab7jm0w5/dFzg2/hy7OCnN2hGwdyTkUPx/CdhWHENKzxOzBUGpLVMeRyw9CzB1GAyuEEOIH7vNCLj0QeEevG3LRLkAQIWYOgNBnCITYRO0T7CZUQxISHawjhiF+zCjYtu9UFUdqakLFl8uQPXeORpkRQkh0+2RzKeQglhxvLKzHxsJ6DM6Iwz2/Gop4kw6pcaZuyFB7VD8S4p+IW6kNAPqBEzSJIx3aAk6HDBBCSJcUrxdVXyxSFcNVdARHFz6L8N90/DiZc81ehJCexeLTwLQYEPG6oVR3vg0aIYSQFnLZAUD2BR9AkSGXHYB0aAtgCv+zEI+hGpKQ6JF79RWaxCl590Nw+p4mhJAuNXskfLa1TFWMA5V2LFh+AGZD5KzppPqREP9E5KC2kNEXLC5ZdRzubIJcdlCDjAghJLrVrfwBvoZ61XH0KSlInDJNg4wIISQwjDGIfQZrEksu208PJQkhpAtcUSAV79Eklpg3HIxF0tRIQki0SD37TBgz0lTHaT5ciPoNmzTIiBBCotuSHeVw/OJc7GDkJsXgtP7qx5AIIeElIge1GWPQDTpFk1jSoc2axCGEkGjFOUfloo81iZVx0RwIusiZJakoXLMXIaTnCWn5gN6oOg6314M31apPiBBCophSVQh4mtUHMpghZvZXHyeEqIYkJHoIeh1yrrhck1glb3+gSRxCCIlWkqLgw5/UHxsGAFdOzIUQQZMiqX4kxD8ROagNALr8EYBe/XkIcvVRyFVF6hMihJAoZduyGa6iI6rjCGYzUmfO1iAjQnoPRVFQVVWF/fv3o66u7qT3SeCYKELMGqhJLKl4lyZxCCEkGnHOIRXt1iSWLncYmCBqEouQ3oJqSG1lXX4xBJP6iZG1q9agac9+DTIihJDotHJ/DSpsbtVxEmP0OH9EhgYZEdJ7REr9GLGD2kxngK7f6KD7c87BFQUcgGfXj9olRgghUaZy0UeaxEk9fxZ0sZFzFiIAKABkrv4VXr/6SbiTJAlvvvkmZsyYAavViqysLAwfPhxvvvlma5tJkybhyiuvxO7d2gwY9CZi1iCABV8Cc0WG4nZCLt4Duamu6w6EENILKQ0V4HYNfkYKOog5Q9XHCTGqIUlPoBqy+xgSEpA5e6bqOILRgMIXX9UgI0IIiT6cc7y/6agmseaMy4ZJH1mTIql+JD0hEuvHiB3UBgDdwPFAEFtIcA5ApwdXZECWoFQVQa4r1z5BQgiJcM7CAjRt3aI+kCAg46JL1ccJMYVzzV6E+GPPnj0YOXIkrrvuOqxYsQJOp7Pds5v37t2Ljz76COPHj8dTTz0V+kQjGDOaIaTmBtyPKwq45ANvbgK8LoBzSAc2dkOGhBAS+WSNVmmLfQaCaXBsRKhRDUlCjWrI7pczf15wHUUROmscAEDxeFG7cjWaC4u0S4wQQqLEzlIb9pY3qY5j0AmYMz5bg4xCi+pHEmqRWj9G9KC2YImH2GeQ3+25zgBusoDLPnCP66Rr3u0/aJ0eIYREvOLnntIkTtKUaTBm0LY/hHRm7969OOOMM3Dw4MGWHWU4h8FgaNOuvr4ezc0tZ5T6fD7cfffdWLhwYajTjWhi9hC/23LOwZkI7rKDO5sAfnzes1JxGEpjVXekSAghEUuuLYNSW6pJLDFvhCZxCIlmVEOGRuzAAUg6bYLf7XXxVhgzMwBZhtRkP35BUVDw7IvdkCEhhES2/353UJM4M0dkIMnS9vcgIeS4SK4fI3pQGwB0A0/pulFsImBNAXc3gzsa220iVxZCqlR/ZiwhhESL5sMH0bx/LxhrOQ8bQvC/MjLmXK5hZqEjc67Zi5DOyLKMOXPmwGazgXOO8847D2vWrIHNZmvTNikpCVu3bsW5554LoGXQ9Z577kFpqTYDCL2BYE0Gs6Z02oYzATDFgrud4LZqQJbabefbt647UiSEkIjl27cOiq0WiqsZUHEWtpCWDyHGqmFmoUM1JAkVqiFDK2f+FV22sfTvh9jBAyHZmuCpqGy3TfU336Np916t0yOEkIi1raQRRY0u6I0iYs06CIFvztvqilMD35ktHFD9SEIl0uvHiB/UFlJzwBLS215gDEJ6PlhqLhRbDZT6ii5jebd/3+7yekII6W045yj938sAAMYY4HGDcQX6xKSWAe4AxI0chdjB/q+KJKQ3euutt3Dw4EEwxnDbbbfhq6++wuTJk2E0tr/l6pgxY/DVV1/htttuAwC4XC688soroUw54nW0WpsbYsASMsA9LijVxYDP3WkcpaYEcm1Jd6RICCERR64qgnJssrjXDaWhumVw22AKOJYun1ZpE9IVqiFDK2XaGTDntN3SlokikqdORuJpE9BcUAjHgUNdxjr8NK2SJ4QQoGXb7RdXFwIABIHBB0BnEJEWb4RRF9jw1RkDU5CfYumGLAmJHpFeP0b8oDZjDPpBJ6zW1hsh9h8DIWcopIoCyBUFPx+i3TWlrhxy6YFuypQQQiJH05afYN+x7aT3GGOQbQ3gbhfMeXnQp3S+yvGYSF2lDQCKwiFr8FIUmjBFOrdo0SIAQGZmJhYsWOB3v8ceewxZWVkAgG+++aZbcotWQkoOYIw5/oY1FUJGf8DtgHx0D+B2+B3Lt28dTYwkhPR6nHN4d65se8HrhlJTBsXjBiwJALpeesPiUyG0N3k9QlANSUKFasjQYoKAnKvmtv5ZnxCP7KvmIv38c1C/diMaNvzkd6z6dRtRH0B7QgiJVisP1uBAlf2k95jAYPPK4DqGgRlxfm8nfmWErtIGqH4koRPp9WPED2oDgJg7DEJqDnSjzoSYPwq+gu2QCncAitJ151/w7lgBHkQ/QgiJFlyWUfrayx1eZ4zBU3IUUkM9rGPGIKb/gA7bmvpkI2HipO5IMyS0KCaPvQjpzLZt28AYwwUXXNDuGTYdMRqNuOCCC8A5x8GD2pw/1VswQYCYPQRCRj+IfceAOxogHdwE7mgIOBZvqIJSWdgNWRJCSOSQj+4Fb6zuuIG7GUp5AbgsgyVlAqKuw6a6/JHdkGHoUA1JQoVqyNDLuuQCxI8ZhYF/+SMyLpiJ8k++QOXS5eCyHHCsw089TxMjCSG9mldS8Mqajo+EZYzhqM0FpyJj4oBk9EvteBX2kIw4jM1N6IYsQ4PqRxIqkV4/RsWgNhN10I+aDu/u1S3nGkq+oGMpthpIRbs0zI4QQiJL3Q/fwlXUcUF5DOMcjp074CkrQfKMcxB/6mkAO3nlTcacy8FUnMVNSG9RW1sLAMjLywu4b05ODgDA4fB/ZTFpocsZCsVeD9+O78Ebq1TF8u1fD85pYiQhpHfisgTf7tX+tXU0QD6yG+AChKyBJ++aAYCZ4yCkBf77kJDeiGrI0NPFxqL/bTeh8LmXUPL2B1A8nqBjNe3ag5ofVmmYHSGERJbFO8tR0dT5kV8AwMGwvcyGOrcPF4zJwsR+SW3a/HpibssRioSQTkV6/Rg1Iw1CfJpmAyfenSvBZUmTWIQQEkkUjwdlb70eUB/u9aLhh+/gOrgfWVfOR+qsCyAYjdDFxyNlxrndlGlo0CxJEipxcXEAALvd3kXLtqqrW1bFxcfHa5pTbyHEp2oSh9vr6RgbQkivJR3eCu5sCqiP0lABad8GQDRC7D8OLDYRACDmDQdjkf2ogmpIEipUQ/aM2CGDNItV8PTCoFZ5E0JIpLO7Jby1sTigPm5JwTcHqnHU5saN0/vjV6MyoRcZMqwmnDk0rZsyDQ2qH0moRHr9GNmfFE/A9Aboh5+hSSzebIPv8FZNYhFCSCSp+mIRfHW1QfWVmmyo/OAdOHZsRd4fbkf/++6HYDRqnCEh0alv377gnOPHH38MqJ8sy1iyZAkYY+jbt283ZRfddP3GAAazJrGkAxtpYiQhpNfhXhd8+9YH3V+pOAzftu8AgwX6EdMgZmk3WERItKMasmcYEhKQd+18TWI1FxxBxZLlmsQihJBI8v7mo2hyB/f5ud7pxZsbi3Gorhn3/WooHrhoGHS0UyQhfon0+jGqvtP1A8eDWbSZIeDb9SO4z6tJLEIIiQQ+mw2VH72vOo6nohxlr78My4COz9qOFArXZqYkTZIkXTnvvPMAAOvWrcOKFSv87vfII4+gsLDlLOcZM2Z0S27RjukM0A86VZNY3NkEuXiPJrEIISRS+PZtAHzBb78LAOAc8pEdUOz1YDq9Non1IKohSahQDdlzcn/za+iTEjWJVfjcS1C89AySENJ7VNvd+GRrmeo4xfVOvLq+CEMyI3/XEaofSahEev0YVYPaTNTBMGq6JrG4xwnf/g2axCKEkEhQ8cE7kJ3NmsTKvGI+dJZYTWL1JNr6h4TKTTfdBJPJBACYN28e1q1b12l7t9uN++67D/fffz8AQK/X44Ybbuj2PKOVmDcczBynSSzfwU3gEj2UJIT0DkqzDZJGu5yxGCt0A8ZpEqunUQ1JQoVqyJ6js8Sg703XaRLLXV6B0o8/0yQWIYREgtfWFcErK5rEun5yXxh1kT/MRfUjCZVIrx8j/7v9F3T5IzU5G5FzDs+OHyE7bBpkRQgh4c1dUY6apYs1iWXMyETqry7UJBYhvUV2djYeeughcM5RV1eHqVOnYsaMGbj33ntb2+zZswevvvoqbrzxRuTm5uLRRx8F5xyMMfz5z39Gfn5+z/0FIhwTddANPk11HM45eLMNnp++0iArQggJf77dqwFFm7Ng9SOmgIk6TWIR0ltQDdmzsufOgSkrU5NYBU8vhM/WpEksQggJZwU1Dny9t0qTWP1SLDh3aLomsQjpLSK9foy6T4xMEGAYfSbcP34UVH/OOcABzhkge+HZ8g1ipl2ucZaEEBJeyt78H7ikzTmwfa65HoI+8reNBKDZDEeaJUn8cffdd6O6uhoLFiwA5xwrVqzAihUrwBgDALzxxht44403APxcr/xs/vz5eOihh3oi5agi5gyGVLAF3F4fVH+uKOCSD9zjglK0G8rw0yFYUzTOkhBCwofSUAX56F5NYrGENIi5wzSJFQ6ohiShRDVkzxEMBvS75Ubs/duDwQcRRTBBgNzsRMHTCzHkn3/RLkFCCAlDL60phFYVzk1T+kEUmEbRehbVjySUIrl+jLqV2gAgZg+GkNwn4H6cc0BnBpdkQG4Z3JEKd0EqPaR1ioQQEjbqVnyPhh9XahIrZuBgJE6ZpkksQnqjRx99FJ9//jmGDx/esuq3gxfQMrPypZdewptvvtnDWUcHxgToh0wKuF/L/yeA4moG97ha3lRkeDYtPanwJ4SQaMI5h2fDl5rFM4ya3voAhRASOKohe07mBTNh6d838I6MtZzJLcvgPh8AoPTDT9G4bYfGGRJCSPj4fEcZNhU1aBJrXE4CTs1L1CQWIb1RpNaPUbdSGwAYYzCMOQvu79/2qz3nHMySBN5UD/gcba671n+J2ItvBdMbtE6VEEJ6lOLzoeKj9wDGwERR9Wrt7OtuABOiZ76UotEsSSVCZklyznHGGWdg3bp1eP3113Httdf2dEqdqq+vx/PPP4/Fixfj4MGD8Hq9yMrKwqRJk3DDDTdg2rTgJ1js2bMHY8aMgSRJIR+YvPDCC3HhhRdi/fr1WLVqFfbu3Yv6+npIkoTExET069cPU6dOxdlnnw2dLipLuR4jZPQDS0wHb/BvKzQu6MAlCby5sc01uaoYUuEO6PuP0TZJQggJA75D2+EtL4bOagVTudZGSO8LMT1fm8TCRG+qIal+PK4n60eAasiewkQR/W+/GTvvuMfvPjF98+AqKYWvvu3Azr4H/g8TP34HgiE6dj8jhJBj3D4ZX+yqhEEvQJE5JJV1zk1T+kXVpMjeVD8CVEOeiJ5BBiY8sugGuoy+EDP6Qq480mk7Fp8K7nZDaazpsA13NMKzfQVME87TOk1CCOlRlR9/AHdxEQCASxJEiwWyywUoSsCx4idMhHX0WI0z7Fky12jrnwhZrfl///d/WLduXU+n4Zc1a9bgsssuQ1XVyYOPhYWFKCwsxLvvvosbbrgBzz//PPQBbofvdDpx1VVXQdJoS/5gTZo0CZMmBb5ymASPMQb9kMnwrv+s03Zc1IMZY6FUFwGdfH97tn4Dsc9ACCaLxpkSQkjPUZx2uNYvAZdl+BoawPR66BMSAckbVDzDqOjb5ac31ZBUP7YIl/oRoBqyJ6SePR3WkcPRtGtPp+3ihg2Gr8EG55HiDts0Hy5E8etvo+9N12mdJiGE9Kh3NpegyuGBTidCETliBQaby9fZR+oOzRiShsHpcdon2YN6U/0IUA15TLjUkJFUP0btoDYAGMacBdfy/7V7jVlTwcxWSCUHAT9mlnv3rIe+3yiIyZkaZ0kIIT3DVVyEig/eOek9ubkZAGDMzIKnotz/YIKA7N/eoGV6JMRef/11/OMf/+jpNPyye/dunH/++Wj++d/roEGDcOGFFyIuLg6bN2/GsmXLIMsyXnnlFQDAyy+/7Hdst9uNSy+9FDt20LZ/vZWYmgMhNQdKTUnbi4IIITkbUmURlMbOJ04CALxueLd8DdPpc7RPlBBCeohr7ZfHj1sAwH0+eGuqIcYnQjQaAJ/H71hi3ggICWndkSYJAaofW1D9SBhjGHDnLdh6/R/avR43eBD0qcmoX7Per3hHXvwf0s47G5b8PC3TJISQHnOgyo7Pdx5/zigwBi8HzEYdEs16lDW4Oul9Mr3IcP3k/G7IkoQK1ZAtqIYMTlQPaovJfSDmDIVcsq/1PRabCDFzIHxHdoPXVvgfjCtwrfsCll/dGFVb6xJCeicuyyh66vEOtxv3VJRDl5AIXXx860ruzqTMOA/m/CDOEQtzskZb/2gRo7twzvHwww/jn//8Z0Sc/8s5x7XXXttaTN5000147rnnTtoCZ/Xq1bjgggtgs9nwyiuv4NJLL8V553W920pFRQXmzp2LNWvWdFv+HXnrrbeC7isIAoxGIywWCzIyMjBo0CDExsZqmF3vox86GZ6aD4+/wRiErAFQmu3wFQb2YUMq2g2p7yjosgZonCUhhISe98hu+I7sbveabGuADMCQ3Q9w2wHZ13kwQYR+xBnaJxkGor2GpPrxuJ6sHwGqIcNJ0mkTkDTpVNSv39T6XkzffCSfMQmVS7+G/cBBv2MpXi/2P/gfjHttYVRtrUsI6Z18soKnVh5Gu2UNY2hwS8hKNEPHGI7WO7uMd8noPsiMN2ufaA+L9voRoBryRPQMMnhRPagNAMbR0+Es3Q9mskA/cAKk6hJ49wS3rYFSWw7vvo0wDo+MZfiEENKRqsWfofnAvk7bSI0NkBobEDdqDLx1tfCUlbbbTjAakTX/mu5Is8dF+3k2VVVV+O1vf4uvvvqqp1Px2+LFi7FlyxYAwKhRo7Bw4UIIv5hsNmXKFLz++uuYM6dldew///nPLgvKb7/9FldffXWbrYRC5dprr9XsgRVjDKNHj8add96Jq6++WpOYvY2QkA4hsz+UigIImQPAYuLh3bsW8LqDiufZtAzi7N+D6QwaZ0oIIaGjeFxwrfmyy3be0kIwSzyM2X2h1BR3eEyDbuApEGKsWqcZFqK5hqT68bierh8BqiHDTf87/oD69ZtgysxA9pWXoX7jZpS8/X5QsRo2bUbF50uQdckFGmdJCCGh9eHWUhR3sRK70d1ylvDEvkk4WudERVP7n71jjTrMn5jbHWn2uGiuHwGqIU/U0zVkpNePUb/kWIhPhXHqXOgGnwb3jh8hHd2vKp5n6/dQHI3aJEcIIT3AXVGO8rde87u9fed2SA47UmbOhi4xqc319IsvgyElVcsUSTdzuVz497//jQEDBrQWk3FxcZg2LfzPtHzjjTdav7733nvbFJPHXHLJJRg9ejQAYNOmTTh4sP2VEQcOHMBFF12Ec889t7WYnDhxIlJSUrRN3A+cc01eiqJg+/btuPbaazFnzpweP5cnUumHnQ79+POh2Grg3f590APaAMCbG+HduUrD7AghJPTc65eCu+x+teXNNrgPbAe3ZkJIb2c3H4MJ+iETNc6QdCeqH48Lp/oRoBoynMSPHI5RTz+G7CsuReHCV1C/doOqeIcWPA1vfYNG2RFCSOgdqWvGh9vK/GrLGMOuSjtEvYCLRmfCamq7HnP+qbmwmgI7s5j0LKohjwunGjKS68eoH9QGADElG57tqwI626tDkhfuDUsiYnsEQgj5Jc45ip9+AoonsJ+Hss2G2q+WwDJoMNIvnQvB3LLNj84aj4zL53VHqmFBUrhmr3Dy4Ycf4h//+AccDgcAYNy4cVi/fj2mT58eVDzOOT755BPMnTsXeXl5MJvNSEhIwMiRI3HXXXdh/351E8qOkSQJ33//PYCW7W66mvk4c+bM1q8/++yzdtvcdNNNWLx4MYCWD1C33XYbVq5cCYvFoknO/nr//ffxzjvvIC8vr3W2pNVqxbx58/Dwww/jxRdfxAsvvIBHHnkE8+fPR2pqamvOFosF8+fPx7x583D++ecjNze3tbj84osvcPfdd4f07xItBEsC5KpiyFXFmsTz7d8Aub5Sk1iEEBJqvtJD8B7cGni/or3wFB2EOOhUsKTM1vf1QyeDGUxaphhWorGGpPrxuHCpHwGqIcORdfhQFL74Pyhu9c8gfTYbDj72Xw2yIoSQ0JMVjqdWHg549XG904dvD9bitP7JuGxsHxjEliGs9DgjLhnTpztSDQvRWD8CVEOeKFxqyEivH6N++3EAEEwWmCacB/fazzWJJ5UchFS8F/r84ZrEI4SQUKn9ehnsO7cH3d+2cT0ce3ahz/zfwl1eCnN+X4gxoX94Q7SRlJSEv//977jtttug0+nw8ccfBxyjuLgYl19+OX766aeT3ne73bDZbNi9ezeeffZZ3HPPPXj44YdVbW9z6NAh2O0tK8QGDhyI5OTkTtufdtpprV9v3Lix07YTJ07Ek08+icmTJwednxrz5s3Dddddh+LiYjDG8Ne//hV///vfYTa3f06UJEl47rnncO+998LpdCItLQ2PP/546/XPP/8c119/PRoaGvDcc8/hpptuwrBhw0L114kahlHTIB3dC95sUx+Mc3g2LoH5vOvAOpjdSwgh4Yj7PHD+2P6DGb/6u5vh2vgN9HlDYRh7DuTyQ9D1H6NdgiSkqH48rqfrR4BqyHBkysxA/9tuxiGNBqMrv/wKmRfMQvLpp3XdmBBCwsjnO8txqKY56P5rCuthNelw65kDsK/ChnE5iTDq6LN0pKIa8rieriEjvX7sNT8F9APHQszI1yyee8NScE/nZ0EQQkg48dbWoPTVl1THkR0OlLyyEEwQkParCzXILHzJP59no8UrnKSnp+ORRx5BQUEB7rrrLuh0wc1xO3LkCE477bTWYjIpKQnXXnst/v3vf+Nvf/sbZsyYAcYYZFnGI488guuvv15V3ocOHWr9um/fdrYy/YXc3OPnLHW09c+UKVOwePFibNiwoUcfSC5fvhxvvPEGGGN44okn8PDDD3dYTAKATqfDnXfeif/973/gnOO///0vVq9e3Xr94osvbp39CQCvv/56t+YfrZjOAOOEWZrFU+rL4Tv4U9cNCSEkjLg2fQ2uwRFcvuJ9cK75EoZx54GJ0T2/PhprSKofjwuX+hGgGjJc5Vw1F3HDh2oWb/+/HoHsCv4oHEIICbWyRhfe/qlEdZwmt4QX1x5BRkIMzhmarkFm4Ssa60eAasgThUsNGen1Y3R/kjwBYwymyRei+fPnAUVWHU9pbkLzt+8idvbvNMiOEEK6F+ccxc89BdkZ/AzJkwgCks8+R5tYYUzh0KQYPDFERUVFl+2zs7NV37MzM2fOPGlbnGDIsox58+ahsrJlO+WrrroKL774ImJjY09qt3HjRsyZMwfl5eV4/fXXMW3aNFxzzTVB3fPE/3b+/Dfq0+f4tlTHzqr5pYceeiioXLT20kstE05GjhyJO++80+9+8+fPx8KFC7FhwwY8/fTTmDJlSuu1008/HVOnTsWPP/6IVavoPOdg6foMhC5vOKTiPapjcUWBY/USWNPyoUuK7g/khJDoIFUWwbtH3ZmwJ9JlD4AQG69ZvHAVjTUk1Y/HhUv9CFANGa4EnQ5DH7gPm+ZdAyiK6niusnLsvvdvGP3MExpkRwgh3UvhHE+vKoBXVv/zDwB0AsOZA0J/5nCoRWP9CFANeaJwqSEjvX7sNSu1AUCMT4FxtLoD6Dnn4BDAZQVSeSG8h7ZrkxwhhHSj+lUrYNuk3QPJ9Esug2XQEM3i9SannnoqcnJyOn1Fgk8//bR1duS5556Lt956q00xCbRsqfPJJ5+0bvnz4IMPQpaDm1xmsx3fAjomJqbL9ifOMjyxbzjauHEjGGOYNSvwVcFnn302AGDdunVtro0bNw4AUFZWpi7BXs4w/jxA5dmvsk+C1+GG4nLC/vV74JKkUXaEENI9uOSDc9UizeIxoxnmyRdoFq+3iYYakupH7VENGb6sw4Yg9zdXqo6jizFDEBjqVq5G7crVXXcghJAe9tXeKuyuaNIs3pXjs5Gb1PXvcNJWNNSPANWQWov0+rFXDWoDgGHkGRDiU4PqyzkHdEZwn7f1PefqzyE31mqVHiGEaM5TXYXiZ5/ULJ4xqw+yrgpullukkTnX7BVtXn311dav//a3v0Ho5IzgSZMmtRY9R44cwdq1a4O6p8fjaf26s21x2mvj8/lafo+Hqbq6OgCAxRL4GfVGoxEA0NDQ0OZaSkrLbObaWqpV1BDMsTCODW53Cs45JAnwNTWD+3wAALmmFM1rv9QyRUII0Zx9+TtQbNr9/jBPmg0hJk6zeOGMasj2Uf2oPaohw1v/W26CKSszuM4CgyHBCsVzfNvxvX9/EO6KSo2yI4QQ7ZU0OPHq+iLN4vVNjsHlY/p03TAKUP3YMaohtRXp9WOvG9Rmog6m04M4A9ZoAecM3O08+X3Ji+bv3weXfNokSAghGuKShKInH4XicUMwqVtleEz+HXdD1ChWb7Rp0yaUlJR0+gp3kiSdNCNv/PjxXfY5/fTTW79es2ZNUPcVRbH162OzLgMRTJ9QSUpKAgBs3rw54L5bt24FACQnJ7e5dmzLo/ZmsJLA6PqPgZCW23XDE3AOSLIeUjuzdN071sBzeKdW6RFCiKbch3bCtXcrJLcXYOofG+hyBkE/cIz6xHqxSK8hqX7sHlRDhjcxxowh/7g34H6mzHSIBj0ku/2k96WmJuy59+9QfLTjDyEk/HhlBS+vL4JJLyDGIHbdoQsCA+6cPgA6sdcNYWkm0utHgGrI7hDp9WOvOVP7RLr0POgHnQLfwa7/T+NMgGBNgVxb3mEbpa4CrvVLETPlYg2zJIQQ9crefh2OPbvAGIPi9UAwGsEVpXW1YKBSZ12AuJGjNc4yfMkK1+Q8mxNjZGZmdvt5Nd2tuLgYzc3Hz2cPtFgpLi4O6r4n3sftdnfSsoXL5Wr9+thMwnA1YcIELFmyBEuXLsWWLVv8KtIBYMeOHViyZAkYY63b/JzoWPHev39/TfPtjRhjMJ06G85lLwFK19tXcXM8vDW14J6Ot51yfPchdKl9IMa3/TBACCE9RWqoQdOydwAAstsDxeuDITkZ8HX9u7ddegNiplwc1g92tEY1ZFtUP3YPqiHDX8rU05E+8xxUffVtl20FkxGWvnloPniowza27TtR+PyLGHDnrVqmSQghqr3z01EU1TuhEwWIAodBJ8DhliAFWRNdOroPBqb2nslVVD+2j2pI7UV6/dgrB7UBwHTKOZBK9oO7HB22EZIzoTidnQ5oH+Pdtwm6rH4w9B+lZZqEEBK0xvVrUbXoo9Y/M8bApZbtTwxp6fBWVwUUT5+SiuzrbtA6zbCmaFRQKhrE6Mjjjz/eZZs//elPmt6zvr5eVf8Tt6h55ZVXujxr5sYbb4TVaj2poHQ6nZ30aHFiQRkfHx9EpqFz7bXXYsmSJZBlGbNnz8Znn32G0047rdM+W7duxcUXXwxJksAYw9VXX33S9ffeew/btm0DYwxnnnlmd6bfawjxKTCMOAPenas6bMNFPRCbBk/hPgCdf+9zrxv25e8g/rJbwMReW5YTQsII93lh++I1cM/x36FcUeCpqYEuIQmiyAE5sBWC5onnQ4hN0DjT8BbuNSTVjx2LpPoRoBoyUgy694+oW7sBUpO9wzbxY0bCW1vb6YD2MUdfewuJp4xH8hmTtEyTEEKCtqawFisOH99ymDEGkQGxJh2MooAqu6eT3m31iTfh16dE9mBsoMK9fgSohuxMJNWQkV4/9tqnZ8xohmniLLhWftTmGteboM8ZDO/hnYDs/2pG54+fQUztA9FKq20IIT3LU1GOoqcXtHuNMQZvbTWMfbLhq6+DcsIv3c7k3XYXxJjAz9og3evPf/5zl220Ligl6fjD7KysLNx1110B9R84cGDr1w8//HCXsyYvu+wyWK1WZGYeP4+uvLzrCWdlZWWtX2dkZASUY6jNmTMHM2fOxFdffYXq6mpMmTIFM2fOxEUXXYQRI0YgISEBiqKgoaEBe/bswdKlS7Fs2TLIcsuK4enTp+Pyyy8H0PLf5vrrr8e337asBtHpdPjd737XY3+3aKMfdjp8RXvAm9qeEcTS+0Kqq4dUuNfveFLVUTSvW4bYKUEcj0MIIRqzf/8ppOrSdq9JjfWQ9AaYsrLBbTV+xRMz82EYeqqWKRINUP3YsUiqHwGqISOFMTUFA+++Hfvuf7jNNX1SIlKnno6q5d8EtKPa3r/dj1M/egfG9DQtUyWEkICVNDjx+saj7V4TBQafomBAqgUlDS54JMWvmHdMHwCjTv0W5kRbVEN2LJJqyEivH3vtoDYA6PKHQ5c9CFLpwdb3xPzhgCTBe2BL4AF9Hji/+wCxF91Eq20IIT1G8XhQ8J9/QT5ha5ZfYozBW1kOMc6KmL794Ni7p9OYSWfOQMKEiVqnGva6Y+ufaJCYmNj6Nedc84K1I8OHD2/9uqioqMv2JxaqgwYN6o6UNPXpp5/ivPPOw+rVqyHLMpYuXYqlS5d22J7zln9XkyZNwmeffdb6/pYtW/D111+3bvN63333nVTEE3WYqINp4q/g+vbN4++Z4yDkDIdz22pwd9czeH/JvW0V9H36w9hveNeNCSGkm7h2b4Rr57rOG/m8cBcXwtR/KLi9FvB2shWfqEPM1DlgGpzJHWmohmyL6sfuQzVkZMiacyEqFi9D45Ztre9lXDATst2Oyi87/v+rI76GRuz5yz8w5pXnIejoGSQhpGe4vDKe+bEAXrnjwWrGGBpcPmTFm2AQBRyo7njnXACYPTwDIzKtWqca9qh+bB/VkN0jkuvH3vfp8gSMMZgmzQZ0BrDYRBhP+xXk6jL4jnQ+uNMZubYMro1faZglIYQEpuTl5+EqLPCrrWxvguPgfiRNOws6a/tbo+gSEpB70x+0TJFoiHPe5Utrubm50P384KSiogKlpe2v6DqR3W6Hx9N2u6mioqIu88/Pz2+9b0JCAgBg//79sNs73r4PADZs2ND6dXtnvYQbk8mEH374AU899RQSExO7/O9itVrx8MMPY9WqVbBaj3/gO3iwZbKe1WrFggULcP/99/fUXylqiWl50A1o+TelGzAePKUvmtd/HdSA9jGO7z6AbG/ouiEhhHQDX005mr750O/27oJ9kGGALqvj89JMp8yAGJ+iRXpEY1Q/dizS6keAashIwQQBQ+//K5hej5i+eRjyz7+gafsO1K1eG3TMxi3bUPTS/zTMkhBC/Mc5x6sbilDp59biTR4J9S4vzhmcCouh/VXYqbEGXDsxT8s0iYaohuxYpNWQkVw/9upBbQAQYhNgnnEV9EMmwrVuKRRb260kA+XdvR5eFQPjhBASrNrvvkbtN4FNrGGco2HNSsQMHITEM6a2uZ578+0dDnhHO5krkBUNXty/7ZUiRUxMDMaPH9/65/fee6/LPldffTXMZjOys7Px2muvBX3v2bNnA2jZfuibb77ptO2yZctavz733HODvmcoiaKI22+/HWVlZVi8eDF+//vfY8aMGRg5ciQGDRqE0047Dddddx3eeustlJeX469//WtrcX/MrFmzsG7dOlRXV+Puu+/uob9J9DOOnQHDGZfBXVwA9/bVquNxtxP25e+A/7ydEyGEhIriccH2+auA5P+2twAgVZfBWXAA+uGTwUwnH1EjpvaBceTpWqYZUaiGbIvqx+5FNWRksPTvizEvPYM+cy7AoUcfh7u8QnXMopdfQ/2GTRpkRwghgfnmQDU2HQ1sYrbCga1lNpyWn4RT8xLbXL99Wn/EdDDgHe2ofmwf1ZDdJ1LrR9qfBoAuIw+ebSsBWeqyrb9cqz6FmJIFMa7tD2dCCOkOziOFOPrCM0H3t2/fAkNaBrJv+D2qFn0CX10tEiad3u5Ad2+haLT1jxJlW/8AwDXXXIONGzcCAB577DFcddVV6NOnT7tt161bh8WLF4NzjvLycpx6avBna15xxRV45513ALSchXPhhRdCr9e3affJJ59g165dAIARI0acVACHo127dkEURQwbNgxAy4zJ2bNntxbQgRg6dKjW6ZF2MIMJEHSQKts/OywYUkURnBuWw3L6rzSLSQghneGco2n5e5Ab/Dsju01/jwuOtV/DPH4adJDgK9gJMKFl23Ghdz6QBKiG7AjVj9qjGjLyJI4fg6KFL4FLGk1k5Bx7//pPTPj4HRhTaHcMQkhoHKpx4P0tXa+Y7cj2chsy44y4cXI+PtxaCptbwoxBqRif03vHUqh+7BjVkNqK9Pqx16/UBgDGBMSceTlYTJxmMRWPC44vX4Hi82/7DUIIUUNubkbhIw+Ce72q4nirK1H+1uvIuHQuUi+4GLm33NF6JgYhJ7r22mvRv3/LlqN1dXWYMWMG9u3b16bd5s2bcfnll7duQXTZZZdhxIgRQd931qxZmDRpEgBg27ZtuOaaa+B2n3ye5+rVq3H99de3/vmBBx4I+n6h8q9//QsjR47EiBEj8Pnnn/d0OsRPhpxBMJ86Q9OYzZu+g2Pjt5rGJISQjri2rILnwHZt4lRXwTztMpgnzYKYnKk+ORJ1qH7UHtWQkUfQ6TD80X9DF6/debHeunpsv+lWyL7AdtwghJBgNLl9eG51AWSVW01X2D34ck8lrpuUj9nDM3DD5HxtEiRRh2pIbUV6/UgrtX8mmGNhOWseHEv/B6j8gcw5BwQRiq0ezpWfwjLjCjBG8wcIId2Dc46iZ56Ap6Jcm3iSD6X/exGDFzwNQ1KyJjEjlazRLEktYoQbs9mMjz/+GNOmTYPdbsf+/fsxatQozJo1C+PGjYPH48G2bdvw9ddftxaT+fn5WLhwoar7Msbw0ksvYfLkyXA4HHj//fexZs0aXHbZZUhMTMTmzZuxdOlSyD9v4XzVVVfh0ksvVf337W4bN24E5xz79u1DCq2wiCgxp54LX1khpLIC1bEUnwyfy4emH76EIW8IDBk5GmRICCHt85YdgX3lZ5rF85UchstoRsKcGzWLGamohmwf1Y/aoxoyMpky0jHsofux83ZttukULSa4iotx+NHHMehvf6GJ6YSQbqMoHC+uPYJ6pzaTaLyygrd/OopHZg9HnKntCtjehOrHjlENqa1Irx9pUPsEuqx+MI07C+4t3wcdg3MOpjeCe1pmbPgO74QrNhExk2ZqlSYhhJyk+Jkn0LhO/XmuJ0q74GLEDhmmacxIJCmApEExKEXXcTatxo4di3Xr1mHu3LnYt28fJEnC4sWLsXjx4jZtJ02ahI8++kiTYmnkyJFYtmwZLr/8clRVVaGkpAT//e9/27SbP3++qrNzQqm2trb163DfpoicjAkC4s67Co3vPQHubg46jixxSE4PoCjgsoS6955D6vX3QhefpGG2hBDSwldbhcZPXwQU7YoUZrYgbsZlmsWLZFRDdozqR21RDRm5UqZPQc5vfo2St7o+G7Qz+kQr5OaWGrTi88UwZWUi77prNciQEELaenHdEeyqaNI05kUjM9EnwaxpzEhE9WPnqIbUTqTXj7R8+BeMY8+ELqtfUH05B5gxpnVA+xjP9lXw7NmgRXqEEHKS+tWrUPfd12AGg2YxLYOHos9vaYUN8c+IESOwa9cuvPfee7jsssuQl5cHs9kMo9GI3NxcXHrppfj000+xZs0aZGdna3bfKVOmYP/+/XjooYdwyimnICEhAXq9HllZWbj00kvx9ddf4+233273rJtwNGjQoNavS0pKejATEgwxNh5x5/46qL6ccyjMAMnefNLgkmJvRN17z0Jxu7RKkxBCAACK24Xa956Ht74e0Gw1H0P87GsgWmkiDuka1Y/aoRoysvW/4xZYRwwPqi8TRRhSElsHtI85svAlVC3/Wov0CCHkJOuL6rG3ygGTXtQs5vCMOFwyMkuzeCS6UQ2pjUivHxnnKvfajkKK0w77p8+AuwJYbWMwt6ys8XTw4JExxM68Bvq8IdokSQjp9ew7t+PQ/feBSy1b/jCjEdzjURVTjLNi2NMvwJCapkWKEam0tBQ5OS1b/p776BcwJ6n/b+Gqr8Y3914EoKVY0LKwItHh008/xdy5cwEAs2fPxqJFiyCK2n1QJKHRvHYJXFtW+N2ecw5ujIevquPjI4z9hiL517eB0b8HQogGuCSh5s3/wn14LwCAiQIMyQmAz6sqrmXyTMSeMUuDDCMX1ZCkJ1ANGflcpWX4ad7VkOwOv/vokxMBRW4zoH0M0+sx+rmnkDB+nFZpEkJ6ud0VTXh1QzE4Wj7HyoqCJrekKmZijB7/njUM1l687TjVj6QnRHr9SCu12yHExCHmzHkA/Ju1LiSmg/u8HQ9oAwDncHzzHqSaUm2SJIT0as4jBTj88P2tA9oAwD0eMIMBgtEYXFDG0PdPf+nVA9qE9JRLL70UH3/8MZKSkrBkyRKMGzcOzz33HLZs2YL6+nooGm4PS7pPzGkzocvM96+xaAA3JXY6oA0AnsJ9aFzyNmgeKiFELa4oqPvkf60D2gDAZQWemnrAFBt0XEP+EFgmn69FioSQAFENGfnM2X0w9F//8Lt93PChUNyuDge0AYD7fNj9p7+g+UiRBhkSQnq7onon3vjpKI59ImWMQSeKSIwxQC8Gt+uPyBhundK/Vw9oE9JTIr1+pDO1O6DPHgDj2OnwbOtktQ1j0GUPgq94f8ve412RvHAsexNxc/4AMS5Rs1wJIb2Lp7oKhx+4D4rT2eYa93rBRRGG1DR4a6oDipt5xXzEj5ugVZpRQeYcsgbn2cg0GEW6MGtWy+q2fv36oa6uDrt378Ydd9wRUAzGGCRJ3Uxpog4TRcSdPx+N7z8J7m77M7q1XUIqJLsLUqV/kx2d29dDTEiBddpsrVIlhPRCjcs/gnNHO8diccBTUQljZhbgtre84SchLgHxs38DJtB8+RNRDUlChWrI6JB69pnI/vVclL73UYdtmE5E8tTJqF+zzq+Ykt2OXXf8EWNfewXGlGStUiWE9DJVdjdeWlcEn9y2JmGMwWrUg4Oj3ulrp3fHrhiXjUGpwU+qjEZUP5JQifT6kQa1O2EafxakiiOQK4vaXjTHQZ+RD+/hHQHF5E47HEtfR9wlN0MwmrVJlBDSa0hNTTj0z7/CV1/fcSNZhremGjGDhsB5cL9fca1jxyNz3lUaZRk9ZEWjglKDGCS6LV++HOznc02P/S+tzI1MYlwiYmdcAfuS19q9ru83Es6D+6DYGwOKa1/5JXQJyYgZPUmDLAkhvU3T6q9hX935GaueinLo0zIgihzc7cdRXIKA+AuvgxATp1GW0YNqSBIqVENGjwF/vB22bTth39f2M7wxMwPxo0eg9gf/j7kBAHd5BXbd9SeMfXkhRDM9gySEBMbm8uHFdUVw+uQO23DGAA4MSLHgcK1/R7lOyE3EeUNol8hfovqRhEqk1480qN0JJoiwnD0P9k+fPWm1jdhnAJioC3hA+xiloRrNy99G7OzrwET6v4AQ4h/F7cbhh/4BT1mJX+2dB/cjbux4OPbsAvd2fE6iPiUVfe/+K53XSkgPys3NbS0kSeQz9hsO39hpcG9b1foeM5hgGDYJ9rXfgnvdQcVtWPwWRGsijH2HaJUqIaQXaN6+AY3LPvCrra+6EkpCEkzp2ZCqO99NIm76JTD06atFioSQIFENGT0EgwHDFzyMn+b95qStxVOmTwVXpIAHtI9x7NuPvff9EyMe/w995ieE+M3lk/HS+iL/VmAzhjqnD+NzErC9zNbpoGpGnBE3nJZPv7sI6UGRXj/SiGoXBEs8YqZfjublbwJMgHHMNPhKD0OqPKgqrlReCOfKTxFz1tyI/gdECAkNLssoXPAwmvfv7brxCezbtiBu3AR4K8rgqWjn3FZRRL97/w5dfLxGmUYXRaNZkgrNkiRdKCoq6ukUiMYsk2dBKj8CqeoodGnZEHOGoemHzwE1ZxMpCuo+fBGp190DfVqWZrkSQqKX+/Be1H3yakB95MZ6uLxexI4aB8+Bre22MQ4eC/P4aVqkGJWohiShQjVkdInJzcGQB+7Dnj//DUyvR9+bf4faVT/C0c7q7UDUrV6DQ4//FwPvuZueQRJCuiTJCv63oRhlNv8nYzPGcKTehdPykrCvqqndwXCDKOD2qf1hNtAEm/ZQ/UhCJdLrRzr4yg/63MEwTTwfMWfNg/fwTsiVxZrE9R7cBtembzSJRQiJXpxzHF34NGyb2jkD0Q/2rT9Bn5KK+FNPa3Mt57qbEDtkmNoUCSGE/AITdYg7fz5M46aDpfZF03eL1A1o/4x7XKh79xlITQ0aZEkIiWbe8mLUvPMsIHe8ZWRHFKcD9i0bYD7lbDCD6aRrYmIarOdfSQMjhBDSDdLPOwd9b7kJw/7zL1R8sVj1gPYx5R9/ipJ33tMkFiEkeimc450tpTjk51biv7Sv2oHBaXEYkWFtc+3aU3ORkxijNkVCSC9Hg9p+Mo2eCl/RXiiNNZrF5JzDtfl7ODfSwDYhpGMV77+N2m++UhXDsWsHPDXVyLzyakBo+dGfeMY0pF5wsQYZRq9j59lo8SKE9D5ifDKMA8bAsbbzc2wD5auvQflT/4TsaNI0LiEkekj1Nah+/UlwT3DHHQAA93nR+P2XMI2dDl3qz7tD6PSIv/h6CEY6m7UzVEMSQtToe9P1qF62HJ6KSk3jHn3lFZR/8ommMQkh0YNzjs93VWBbmU1VnAM1zTDoBFwwPAPHpkBOH5CCKf1T1CcZxah+JMQ/NKgdgJgpF0NMztQkFuccnAngsgznxq/h3LpSk7iEkOhSveQLVLz/tiax3EcKUffDt8j/472IGzUGebf9kVbYdIFzDq5o8OJUUJLu53YHP3BBuo8+IwcJs6/SLJ4iyfC5fJAa6lD+/L8h2dU9cCCERB9fYx2qX3sCihYTXxQFjcs/gZg9BKYRE2E9dx70qXT8QVeohiSRhGrI8DTk/r/DnJurWTx9XAyYIuPIU0+jcvFizeISQqLHdwdrsKqgTpNYRQ0uHK5z4ven98XITCuunqDdz7NoRfUjiSQ9WT/SmdoBYAYjYmddi6ZFC8Gbg3+AyDkH1xnA3c7W95xrvgQUBTGnnKVFqoSQKFD77XKUvvaSpjG9VZWoeP9tDH/+VTCRzrAhJBx5vV4cOHAANpsNPp+vzQcSzjkURYHP54PT6URdXR22bNmCL774AlVVVT2UNemMZdwZkBpq4VijbtcNRVIgeXyALAEAfJWlqHjuIWT+4W/QxSdqkSohJMJJTTaUP/0AmNuhadymHxYj5dd/gHnEBE3jEkK0QzVkdNEnxGPUM09g629vhK9B3bEzxuQEKM3Hfy8UPLYAXJaRecklatMkhESJDcX1+PagdjvUAkCV3YO1RfX481kDaVENIWEqEutHGtQOkBAbj7hf/RZNn78AeD0B9+ecA6ZYcEdjm2vOdUsBRUbMqedokCkhJJLVLFuM0pefAziHYDJB0Wj2EzMYkH/b3TSg7SdF4VA02LZHixgk+jmdTvzlL3/Bm2++CYdD28EI0vOsZ10E2VYH165NQfXnYJC8ErjPd9L7vupyVDz/75aB7YQkLVIlhEQoqbEOpU//C77KCgh6HfRxFkBRNIkdM3ICzMPHaxKrN6AakoQS1ZDRy5ydjZH/XYDtN90CxRP4M0gAMGelQ6pvu/Ky8IknwWUZWZddpjZNQkiEW1dUjxUFtYgz6yB6ZDi9siZxjToBV47NpgFtP1H9SEIpkutH2n48CGJyBmLPm996Lq2/OOdgcUlQ2hnQPsa5YTmaN3xN20QQ0otVffZRy4A2AMYYuNcNMTZWfWBBQL8/3YfY4SPUxyKEaO6yyy7D888/D7vd3rKrS4AvIcC6hIQWYwyJF/4GhrxBgXfWm+Bz+8A7mFDpq6lA+fMPQWrQZqs4Qkjk8dVVo/SJf8JXWQYAUHwSvDYHoNOrjm3sNwTJc28Ao98zhIQlqiGjm3XEcAx9+EEgiEGh2P757Q5oH3PkqadR9uGHatIjhEQwzjlWFtRiRUEtAEBgDBajiHiz+nWQImO4bmIushPMqmMRQrQXyfUjVa5B0mcPRMy0OX6355xDSOkDuaG6y7auTd/AuWE5DWwT0stwzlHx/lsof/PVk95njEFxOqBPUrcCL/f3tyJh0umqYvQ6QfxSb+8F+nlOurBs2TIsX7689c8JCQk47bTTMGJEyyQUnU6HadOmYcKECcjPzz+pr8FgwMsvv4yjR4+GMmUSBKbTI3ne76FLyfC7jxCbAJ/DCe52ddpOqq1C+XP/gq9e2y3jCCHhz1tVjtIn/gFf7cnbv3FZhrfBBma2BB1bn5GD1KtvA9NgcLxXoRqShAjVkL1D6vRpGPDHOwLqEz9qODxlpV22K3r2OZS+916wqRFCIhTnHN8dqsHaovqT3meMwaATkBprUBX/1+OzMSQtTlWMXofqRxIikV4/0qC2CsYhp8A0/uwu23HGIPbpD6my2O/Yrp++g3PdUhrYJqSX4Jyj/I1XUPnhO+1eZ4xBtjXAmJkZ1AztzHlXIXXmBWrT7HW4AnCFa/Dq6b8JCXcfnrBC4vbbb0dVVRXWrVuHxYsXAwBkWcbLL7+MjRs3orCwEIWFhbj44osBAD6fD1u3bkVmZmZPpE4CJJgtSP71bRAs1i7biunZ8DQ0QnE1+xVbqq9BxXMPtRnYIoREL09ZMUqf/GeHOzVwWYa7uhaiNTHg2GJCMlJ/excEU4zaNHsdqiFJqFAN2XtkXzkPfa6c22U7ZtAjefKpcB484Hfs4oUvoOStt9SkRwiJIArnWLa/GptKGtu9zhgDGJCTaAoq/kUjMnBKTkLwCfZSVD+SUIn0+pEGtVUyTZgBw6BxHV7nOgN0+cPgK/a/mDzGtWUFnGu+pIFtQqIcVxSUvvQsqr/4pMu2vupKxOT3BdP5vxVQ8jnnI/Oqa9SkSAjpZhs2bAAA5OXl4cknn4Re37IiLj8/Hzk5OQCAb7/9trV9fn4+Fi1ahMsvvxycc7z88svYuXNn6BMnQdElpiD517eA6Tue/W7oNwyesnIozfaAYksNtSh//t/w1VSqTZMQEubcxYdR+t/7ITc1dt5QluAqr4AuLcvv2ILZgrTf3g1dEIPhhJDQoRqydxlw5+1IOXNah9d1VivSpp6Opq1bA4599OVXcPT119WkRwiJAIrC8eXeSmwvt3XajjEGj8wxMNUCIYC1NdMHpOCsgakqsySEdKdIrx9pUFslxhhips+Brk//thdjrDD0Gwnvwe1Bx3dtW4Xm1V/QwDYhUYrLMoqfeRy1y5f43cd99AhiBg6CENP1qpn4Cach75Y7W2ZZkoApCtfsRUhnampqwBjDzJkz25xLM3bsWADA+vXr2/R74YUXYDQawTnHa6+9FpJciTYMWflIvPR37e6+YR59OpyHD0B2dP6goSNyYx3Kn38I3uoKtWkSQsKU6/A+lD31IJRmh1/tueSDs6gIhryBXbZlegNSr7kT+jRavRksqiFJqFAN2bswUcTQhx5A3Ijhba4Z+2QhdfoZqF+zJuj4Jf97DcWvvkrPIAmJUpKiYNHuCuyu9H/itM0jYXimFQax6+eK47LjcdEI/4/aIiej+pGESqTXjzSorQEm6mA5bz6ExPTW98TkTBj6jYB7zwbV8d3bV8PxwydQFFl1LEJI+FB8PhQ98X9oWPldwH1dB/chdugw6JOSO2xjGTwU/e75G5goqkmTEBICDkfLoMSxGZEnGjZsGDjn7c6CTEpKwqxZs8A5x8aNG7s9T6It8+DRiD9/3vE3GEPs1Nmwb9/Y9crLLsi2BlQ89xDcpUWq4hBCwo9z306UPftvKG5XQP2414PmA/thGtbxTmNgDMlX3gxj3gCVWRJCQoFqyN5HNJkw8snHYOrTp/W9uBHDkXr6RNR+843q+KVvvIniF16AotD+tYREE5+s4OOd5ThQ49+EyBNVOTwYk50Ai6Hj54uDUi24alw2BFpUQ0jYi/T6kQa1NSIYzYj71W/BYuKgyxkEMWcQXNtWaRKbcw7Xrg1o+uI1cJ9Xk5iEkJ6leDw48p8H0bhuddAxHNu3IHbYcBiz2/4CMvbJxoB/PATBFNz5N6QF58fOtFH5okmSpAvx8fEA0O7DowEDWgYWDh061O6qiSFDhgAACgoKujFD0l1iTz0TsZPOAdMbEf+rq9D44zeQbQ2axPY11OHof/4K58E9msQjhPQ8x87NKF/4CLjXE1R/xe2EfccWWCae2e71pEuuQczQMSoyJADVkCR0qIbsnQxJSRj1zJPQxVuRPH0aEseOQtXiLzWLX/XFIhQ++ggUn0+zmISQnuORFHy4vQyFdc6gYxQ1OHFKbgKSYvRtrvWJN+H6iXnQiTTUpAbVjyRUIr1+pJ80GhLiEhB3ye8hZvWD66fAV152EhmQJHgLdqPho+cgNzdpGJsQEmrehjoc+sef0bRlk+pYtvWrETd8BCxDhrW+p0tMwsAHH4Hu519QJHicc81ehHQmI6Nli67i4uI21/r3bznixOPx4PDhw22uG41GAEBTE9UHkcp6zhwk//pW1C/9GHJjnSYxuaJAlhQobheOPnE/bGt/0CQuIaTn1C37FBUvLQCX1A0yKM0O2Nb/COuMS046AiF+xsWIndDxWa3Ef1RDklChGrL3isnLxbg3XoV1yABUfPyxZnF1FhOgyKj74TscuO9eSPTvg5CI1uj24p2tJShuDGyHn/bsq3ZgYl4i+sQfX0CTFKPHTZPzYdLTLpFqUf1IQiXS60ca1NaYaE2Gvk8/MKNZk3icieAnzIyUKorR8M6TkGrKNIlPCAktT2U5Cu6/F64j2s1mqv9uOWKHDEX8qZMgxMRg4IP/B2M6nWFDSCSZNGkSOOdYunQpvN6Td2UZOPD4+afr1q1r0/fgwYMAAJ1O171Jkm7DmABDTj8Y87XZ7pdzDpmfUEPKEipefwbVn74NTltJEhJxuKKg+tP3UPXhG4BG38NyUyMavl+GxIuvAdMbEHvqdFjPulCT2ISQ0KEasneLyclBwrjxEMzaPIPUxcYAitT656bt27Dn9lvgKi3RJD4hJLQaXF58ta8aDS7tdl3YUmbDqXmJGJRqgcUg4ubJfRFvart6mxASviK9fqRB7W6gT89F/CW/Vz+wLehOGtA+RrE3oOG9p+Ep2K0uPiEkpOw7t+HgvbfDU1YCLvs0++AJADVfLoJl0GAMeexpxPTtr1nc3k5RuGYvQjoze/ZsAEBFRQXmzp2L2tra1mtZWVnIzMwEADz77LPwnVAbFBQU4NNPPwVjDHl5eaFNmmiKiTqkXXULYsefrioO5xxcHwPF2dzmWv1Xn6LsxcegeNyq7kEICR3Z7ULJM/9B9aJ3oUgKfC7tjqOSGmpRt+RjpFxzFxIvuhqMzkDUDNWQJFSohiTx48Zi2OMLVD9f0MVaAKXtM0h3WSn23H4LbNu2qopPCAmt4gYnFu+pRLNPhtWkg1mv3TDQ2qJ6nJKTiDum9kNanFGzuL0d1Y8kVCK9fqRB7W6iS8tG/Jw/gJligurPRV3L+QcdzMTnPg9sn70K5+YVtKUEIWGOc46aZV+g4KH7IDvsAADGGBSPC2JcnCb3EEwmxA4dBnNevibxSAuucM1ehHTmwgsvxLBhLccIfPnll8jLy8OCBQtar1955ZXgnGPbtm2YPHkynnvuOTzwwAOYPHkyPJ6Wc1XPPvvsHsmdaIeJIlJ/fTNiJ0wNOoZgTYbU0PEW5o6tG1D86H3wddKGEBIevDVVOPLgn9H009rW9xSfBFnWbvDZmNsPpvwBYAI9GtAS1ZAkVKiGJAAQP3o0hj/5BMSY4J5BipYYCHrW4UGsst2OA3+9B9XLlqhJkxASApxzbC+34dtDNfD9XEcIjMFi0CFGoy3CTToB2QkmpMeZum5M/Eb1IwmVSK8f6ZNrN9KlZrUMbJtjA+rHRR2Y3gze5SoaDsfKz2H/9kNwWQ4+UUJIt1F8PpS8+BTK/rewzSQVxhjkZjt0CYmq7iHGWND/gUcQN2qsqjiEkJ71ySefIDExEZxzuN1uNDY2tl679957kZSUBADYunUr7rjjDjz00EOoqakBAJjNZtx55509kDXRGhMEpF5xI+ImTg+4r5iWDU95aZftPEcLUfzwn+Euans+EiEkPDTv242Cf9wJ99Ejba5JzU7AENzAxYniJp2JjOvuABNp62FCIhnVkAQArCNHYvh/n4QYG9gzSDEmBoaEOCjuzp9BclnGkf8+geIXF9IzSELClCQrWFFQi82ljW2uiQJDjEGExaBuYDtGL2L+uBz0iddu90lCSOhFcv1Ig9rdTJeSifg5N4PF+LcakwsixPhUKE0Nft/DvXM9Gj99AYqr7TaThJCe42tsQMED96L+u+UdtmGMQXLYoEtMCuoeYpwVAx56DLFDhgebJumMVjMkaZYk8cOQIUOwc+dOXH311TCZTOjXr1/rtdTUVHzxxRdITU1t2V765xcAmEwmvPPOOye1J5GNCQJS5v4OcZP8n/mqz+kPV6H/g9RSYz2KH7sP9i3rg0mRENKN6r//CkceuQ+yvanDNp7aOgiJqUHfI37a+UiffzOYoM2KHfILVEOSEKIakhwTN3w4hj/1X+j83BFONJsRk5cNX73/O/hUfvoxDj7wD8hOZ7BpEkK6gcMj4ct9VSis7/h789jAdrArtmONIq4en4102nK8e1D9SEIokutHxmnv6pCQ6qvQ9NmLUJo7fjABUQdd1gB4gzwrW0xMRfwlN0KXlBZkloQQrTgLD+HIow/CV1vjV3shJgZMZ4TUUO/3PXSJSRjw4H9gzs0PMkvSntLSUuTk5AAAxvzxXRjig39gfIzXVoPtT14FACgpKUF2drbqmCS6uVwueL1exMfHn/R+fX09Xn31VWzYsAEejwejR4/GjTfeiPz8/J5JlHQrzjnqFr2BpjXfdtrO2G8Img/sh+IO7uFi6pz5SJp5KZ2nS0gP45KEirdfQv13y/zuEztsOHylhQHdJ/Hci5B88Xz6ntcY1ZAkHFANSQDAcfAg9tz1R0g2W4dtBLMJCePHoGnL5qDuYe7bD4MfehjG9Ixg0ySEaKTK7sZ3h2vg8rV/jOkviQJDg9Prd3sAiDfpcNW4bCSaDcGmSdpB9SMJB5FWP9I+YyGiS0pH/KV/gO3TF6A0t1NUCiKMg0+Ba/uaoO8hN9Sg4b3/wjr7Ghjzh6jIlhCiRsPalTj63JPgXo/ffRSnE4b0eEBJgGRr7LK9PjUNA//1KIyZfVRkSrqicA5Fg7lfWsQgvYvZbIbZ3HY7r6SkJNxzzz09kBHpCYwxJM+5FhBENP3Y/q4fpoEj4DpaFPSANgDULHoHnooypF91E0QTnYtGSE+Q7DaUPP0ImvftCqifY+8exJ8yAe6D/k2MTrpgHpJmXkYD2t2MakjSU6iGJAAQO2gQRjz9FHbfeSekxrbPIAWTCWnnn4va5f5Povol15FC7L71Dxj4zwdhHTlSTbqEEBUO1DiwtqguoMW5ssKRZTWh1OaGR+p6YDspRo+rxmbDatKryJR0hepH0lMirX6k7cdDSExIRfylf4AQm3DyBUGEefxZcO1Yq/oeiqsZjYtehmP91+CK/7OtCCHqcUVBxXtvoPjJRwIa0D7GW1UBU24uxNjOtwozZmZh0MNP0IB2CHCuzdY/tCkKISRYjDEkX3w14qf/qs0106CR8Nps8NVWq75Pw4/f4eA9t8BTWa46FiEkMO6jR1Dwj7sCHtA+pmnHDsQMH9dlu5RLr0HyrMtpQDsEqIYkhPQ0y4ABGPHMM9AnJp70vmA0Inv+r1UNaB8jNTag8N9/RfWSz+jnFSEhpnCO9cX1WH0ksAHtYxxeGYNSY2EQO68LUy0GXD0uhwa0Q4DqR0L8Qyu1Q0xMSGlZsb3oBSj2BkAQEHP6bDSvXgpo8QNHEAHJh+bVS+AtPoD4X10NMS6x636EEFW89XUofuJhNO/foypO895dSDrzXDSsXQ3F1XbVnSknDwMe/A/0Scmq7kMICW+NjY04evQo7HY7ZFn2u9/UqVO7MSvSUxhjSLrw14AgwPbDlwBaVmhz0Qh3wQHV8bnCIfsAqbIcB++5FX2uuxmJ02bQwBchIVD18Tuo/eozcI876Bjc54V93z7EjRgP5+4t7bZJvfIGJEw9L+h7EEIiA9WQ5ESWfv0w4tlnsPuOO+Crq4dgMKDvrbeg5H8vaRJfbzUDkg/lr78Ix46tyLn1bujjEzSJTQjpmN3jww+Ha1HT7FUVp9rhwSnZCdhU0gipnZHxjDgjrhybHfQZ3ISQyBBp9SMNavcAMT4Z8Zf+AU2fvwzT+DPRvO5rcG/wDzGO4QAgS61/9h09hLrX/wPr+b+GadBo1fEJIe2z79yG4mcX+LVtuD/qV3yD9LnzUb3oIyie4yu+zf0GYMADj0Bnje+kN9HSsVmOWsQhxB/vvvsu/u///g/79+8PuC9jDJIkdd2QRCTGGJJmXwEminAfOQhDdj/ULv5AdVzOORRmAJccAADF7ULJwidh374F2TfcCtESq/oehJC2ZGczSl9ZiIZV30FnUX82odRYD1dlNWKGj4Vzz7bjF5iA9N/8AdbTpqu+B/Ef1ZAk1KiGJB2Jyc/HiGefxb4//Rk5v7sepf97+aTnDMESjHoIOP7gu2nrJhz44++Re+ufYB17iur4hJD2VTS5sbm0AU1ubX5uF9Q7Ma1fMlYW1EE+YcFddrwJ88b0gUlHA9qhQvUjCbVIrR9p+/EeIlqTkHDVn+ArLYRiq1Mdj3MOpmv7MIS7nbB9/iqavv4gqO2QCSEdU7xelL3+Egoe/Auk+jpAliGY2p4/EYzqzz9G1m9vBNO1bO9jGTwMA/71GA1oExLF/vKXv+A3v/kN9u/f37LtVBAvEt0YY0iaNRfJF/8GtV9+pE1QgwWS3dHm7cZ1q3DgnltU70BCCGnLsWcX9t/xe9Sv+BZc4ZBcPk3iugsPQhGMMA/++WxTQUTG7+6iAW1CohzVkKQrMbm5GPvuO7BtWAdfvfpnkGCAwdr22UfLduR/Q9nrL0HxqVtBSgg5mSQr2FrWiHXF9fDKHGa90OXW4f46UOvAuYNScWyjrr5JMbhybDYNaBMSxSK5fqSV2j2IiTrETr8EiqMJ3iN7g47DOYdoTYLcyeC4a8daeEsOI/6Ca6FPzw76XoSQFs4jBTj69KNwlxSf9L7idkEwmaG4Xaric68H1Z99iJxb7kLDjz+g7z3/gGjWZsCc+E9RAEWDGY6KokEyJKqtXbsWCxYsANDyez02NhYTJ05ERkYGdDoq18jJjH1ykXXTn1Dx2lPgXhUPDPUmeOsbO7zsq6nG4fvvQfqlVyL90ivBRHqoQYgais+LivffRvVnH5109BSXFCDWAvjU795lW7sC6VdcCzCGxLN+BcvI8apjksBRDUlChWpI4i9Br0f+nXfB12SDfcd2VbEs+X0g1dV0eL1mySLYd29H/l1/hSk7V9W9CCFAndOLn0oa0Ow9vjsCYwwmnQiFy+1uHR4In8xRUN+MWUPScKimGZeMyIROpLWQoUb1IwmVSK8fwz/DKCcYTYi/5AY4Vn0O15ZVQcXQJaVDqqvssp1cX4X6d55A7NQLEHPKdDBGv5wICRSXZVQv/gSVH7wF3sEWG4rPCybqwGV1W3D4amvgq6tG/38+TOea9hCtZp7R6gfSlRdffLFl1xXGcN111+Hpp5+GxWLp6bRIGLOeMhn6lDSUPfswJFtD4AEEEbLEThpYaxdXUPXJu7Dv2oa82+6BIS09uIQJ6eVcR4tQ/OR/4CoqbPe6r9EOU58MyI3qV9DVffU5Bjz+MnQx9Hukp1ANSUKFakgSCL01HkMeeQxFzzyFmuXLgooRO2gAfJVHu2znLirEgT/fij6/vQnJ58yiZxqEBEHhHPur7dhf7UB7FYEoMMQYRNjdUrvXA2FzS9ALAi4blUXfrz2E6kcSKpFeP9KoZhhggoC4M+cg7py5QIADzUJ8MqTGWv87yBIcKz5D4ycvQnY0BZgpIb2bp7oSh++/BxXvvNbhgDYAQJYhxieouxljyLzqty0r46iYJCTqrVu3DowxDBs2DK+++mpEFZOk55jzByDvbwtgzO0XUD/OOcS0HEi2Rr/7OA/sxYE//wENa1cGliQhvRxXFFQvXoQDd9/S4YD2Me6ySugSklTdz5TbF/0efJIGtAnpJaiGJIES9Hr0/eOfkHvjzUCAzxpi8vPgqy71uz33elD60jMoWvAQJDs9gyQkEHaPhJUFtdjXwYD2MSJjSIrRq7oXAzApNxHD0uPoGSQhvUCk1480qB1GzKNPR8Jlvwcz+rnFsCmmpQANYjWo98g+1L3xCDwFuwPuS0hvwzlH/YpvceCPN6N5n3/fM1J9Lcz9BgR1P8FkRt97H0D6nCuomOxhXNHuRUhnKioqAACzZ8/u4UxIpNEnpSDv3v9D7NiJfveJGToOzoMHAr6X4nLi6NOP4ujzT0B2OQPuT0hv462pxuH7/4Ky114E9/l3bravyQnBHBPU/awTJqPv/QtgSKUdFXoa1ZAkVKiGJMFgjCHz8rkY9MBDEEwmv/rok5MhCHJQ+9raNq7FgT/eDPuu7QH3JaS34ZyjoK4Z3x+qQYPLv/pRVjjSYg1B3c8oCjh/cBqGZ1jpGWQPo/qRhEqk1480qB1mDHmDkXjVXRATUjpvKIowZA+AXF8d9L2404GGj19E3fvPQnE1Bx2HkGgmNdlQtOAhHH3ucSgBPsB3FR6Guf/AgPoYMjIx8JGnED/htID6EUIiW2xsLABE3OxIEh4Eowl9br4XSTMv7bJtzNDRaFJ5jmL9ym+x64bfoHHzJlVxCIlm9T+uwP47fw9HgA/wJbsduuTMgHfwSptzFXJu/ytEk58TpAkhUYFqSKJG4uTTMeypZ2FITeu0nWAyIX7kUPhqg38G6auvReFDf0XJ04/Q5EhCOuDyyVhbVI/t5TbIAWwhzRiDT1KQZA5sxXaCWY+LhmegTzzVj4T0JpFeP9KgdhjSJaUj8ao/Qp/d8SpP0+gz4Dm4XdV9OOfgTISnYC+qX3gAzu3rwGkqDyGtqr/4BPvvugm2jWuDjuFraIAhPdOvtrEjx2DQf56BOTc/6PsRbXHOoSjqX3SeDenK8OHDAQD79u3r4UxIpGKCgLRLr0bGb28DRF27bYw5/eCuroficau6l+JT4K2tx8G//wWH/v0AvDU1quIREk3clZU4/MB9KH7yEcjNjqBiNB/Yjzg/d19gRiNy7rgPaZf+Gkygj/fhgmpIEipUQxK1LP0HYPhzL8AyZEiHbTIuuhD2reonM+pjzbBvWYeCe2+GbcOP9DOOkJ9xznGw1oHvDlWjyuEJLghjMOlFxOhFv5rnJphx4bAMWE3qti4n2qH6kYRKpNeP9Kk3TAlmCxIuvxmmEW0fZpjGToF770/qb8JEcJ8XAKA4HWhc8jZq33wCvir/z8chJBp5Kstx5D/3o/ydVyE1NqiKJdXXwpST1+U2kimzLkb/f/wfdHFWVfcj2uIK1+xFSGfmzp0Lzjk+//xz1NbW9nQ6JIIlnH42cu9+EGJs3Env6xKToc8ZANeRw6ric86h4PiDkoY1P2LnDdeg4pMPoUiBH4lDSLTgsoSKRZ9i543Xwb5zu+p4jZs2IG5c5zv36FPS0O/+xxF/6umq70e0RTUkCRWqIYkWDElJGPb4U0iaNr3NtawrrkTDqm9U30NnMQNSy1bKUmM9yhYuQPGjf4envER1bEIiWbNXwu5KO4rrnfDK6n7vu3wy8hLNELvYRnxMlhXnDEyFQaShoXBC9SMJlUivH+knVxhjog5x512J2GkXAWj5ZWQYMBJyfTW4M7hZ/8e0zPxpuyrbV1qImlcfge2bj6F4XKruQUikkd0uVLz3Bg788SY0bd0ExhiYIbgzaU7UtHkDUs6fDbRTVDKdDjk334Xs628GE/2bTUkIiT433HADhgwZApfLhblz56K5mY4FIcGLGTQcefc9BkNGNgCAGYxIPO9S1H29RH1wgwWK++TVA4rbjZJXX8KeW25E064d6u9BSISxbd+GnTfdgKLnnoHsaIanyQmorOsUjxeuikqY+w1q93rM0JHo/9BTMOf1U3UfQkhkoxqSaEUwGjHgb/9En6uvaX0v+Zxz4SrYB8WpcrtwBgjt/Fp07t2Jgr/djqqP31K9kxAhkUZSFBTUNmNrqQ2NLh9MOv9XWXem0u7BqMy4dq+JAsOZ/VNwSnYinZ9NSC8W6fUj47QfQUTwHN4F5+aVMOQPgePHxeoDxlghN9Z32kSIjUf8OZfCNOwU+kVHohrnHI1rV6HinVfhq69rc000W4LePvIYMTYOyef+CtWLPmh9TxefgPx7/onYIcNVxSbaKi0tRU5ODgBg4O9egz4uRXVMn70Wh169DgBQUlKC7Oxs1TFJZDp69GiH1woKCnDxxRfD4XAgOzsbN954I04//XSkpqYiLq79D6W/lJubq1WqJArITgfKX3oCcROmoOzt1yA11HXdqRNc0MFrcwJdfHxInnEucq+/EfrEJFX3IyTceaqrUfziQtStXNHmms5igk5U/1E77eLLYP9pNaQTPrslzZiFzKtvAtO1f9QA6RlUQ5LuRDUkCaXaH75H7TfLYR01HNWfvq86nrlPJuTGzutQfUoaMubfiLhx/h2/QUik4pyjyu5BUYMTvl+szFY4h83ja/N+oEw6AUkxBuypsre+ZzGIOGdgKlIsRlWxibaofiTdKVrrRxrUjiCKLKHh7ScgVavcHtwcC9nW6HdzQ/5gJMy8ArrkDHX3JSQMuYoKUfb6C2jet7vDNhys5QF+O7sbBCJ21DjorFY0rlkJc98B6Hvv/TCkpqmKSbRHBSXpToIg+DVRjHMe8IQyxhgk2v6Z/ALnHI1rVuDoc493ORjdVRxmSYKnstKv9qLFguxrf4e0WbNpJxISdRSvB+UffYSy996B4u54ZZklJwOyTd1RNhAE5N32R1S8uRBcUZD5m5uQPONX6mKSbkE1JOlOVEOSUJM9Hhy8+2Z4KspUxTGkpQHNjX63jx0zARlX3whDKj2DJNHH7vbhcF0zHB65wzY+WUGD26f6XllxRjR5JJTY3EiLNWLGwFRNVoITbVH9SLpTtNaPNLU7ggiiDklX3QX7is/g2r4mqBgcAOOB/QP1Fh1A9Uv/RuykcxB7xkwIevXbMRPS0ySHHZUfvIW6b5cBvPPBagYOfUoqvNVVqu7p2LkVWdfcCGNGFtLnzINgNKmKR7qfwjkUDeZ+aRGDRA9/5xPSvEOiBcYYEqecBV1CIo4+90TQq7WNffrCvv+A3+3l5mYUP/80ar75Cvm33onYwUOCui8h4YRzjoZ161C08Dl4Ksq7bN9cWomY9ER127YqCio/fh9Z190KQ2o6LENHBh+LhAzVkKQ7UA1JQkk0GjHosWdR+urzaFj1fVAxmE4PUQQ6Hr5ry7H9JxTs2YGUi+YieeYcCHp9UPcmJJx4JQVF9U5UOTxdttWLApLMetS71A1sl9s9GJNpRYrFiDFZ8RAF2oU13FH9SLpDNNaPNKgdYZjeAOu582DoOxRNX70L7g7sAYm+zwB4juwP/MaKDMfa5XDu3ADL2CmInXI+GKMj2Unk4YqMuu+Wo/KDNyE77F13+Jm3thqGzCx4/XiA2RHBaIRoiUXahZcGHYOEFlc4uKL+l7oWMUh0mDp1Kh3pQXpE3MixGPz4QpS8+BSaflofUF9dfAKcJcGt0nEeOoi9d96CuDHj0e/ue2BMUT/znJCe4Dp6FEULn0Xjpk3+d+IAdDEA1J1FakhNR+zoU6CPT1AVh4QO1ZBEa1RDkp4gxliQd/s9sI49BSUvPxvwJC3rqFFwHdgV8H25z4uaT96BbfX3SJ55ERLOnEX//klEUjhHhc2N4gYX5AAGjETGYDGIaPYGMiXkZDqBwaATMT47NugYJLSofiRai9b6kQa1I5Rp4CjoM3LRtPRteI8e9KuPmJ4DT0mBqvvKTY1oWvEFnHu3wDr9ApgGj47KbwwSnRrWrULNFx/DdSTw7wPGGLjHDWY0gnu6nln5SzEDhyDv9ntgzOoTcF9CSPRYuXJlT6dAejFdnBX5f/oH6r/7CmVvvgzu9eP3GWPQZ+ajuWRj0PflioKGDZuw7corkH7xxehz5a9hSKLztklk8FRXo+z9d1G9dAl4ENurOUvLkDh+NFyHAp9YzAwG9PnN75Ay60IwgSYUE9KbUQ1JelLilLMQM2gYip/+D5wH9vnVxzJsJFyH96q6r+K0of6Lt9G8bR0SZ16GmKFj6BkkiQicc9Q0e1HS4ILTF/jANGMMVqMOLp+MYMYnUy0GnJKdgBgDDf0Q0ptFa/1IP9kimBiXgIR5t8C56Qc4Vn/Z6Xm/zGgGdEZACn7rkpYtCFqKR6mqFPUfvgB9Rg7ipl8A06BRVFiSsOXYuwvVn70P+87tqs4TlWyNiB09HvatP/nfSRCQMXc+0udcQWeKRiDONZolGUFbuBBCohtjDMnnzIJl6HAUP/0Y3MWFnbaPnzQN1cu/VndTQQ8obiheLyo++ghVixcj4+JL0OfKK6FPSFAXm5Bu4rM1tZyb/eFHYEwC5OBXytgPHYE5JRW+2hq/+5j7DUD+XX+BKSc36PuSnkM1JCEk2hjTMzDwoSdQ+fG7qPr0/U6fQeqs8dDpAJ+K350QGES9AHAOz9ECVL70KIz5A5E08zKYB9MzSBKeOOdo9sqosXtQ0+yFR+78uMPOyArQx2pGic3ldx+BAcPTrRiYYqHvkQhE9SMh/qFB7QjHmADLxBkw5A6CbckbkBvaf1BiGjkJjnXfqLuXwdxmu3NfZQnqP1gIfVYerNMvgHHACPqlScIC5xyOXdtQ/dn7cO7fAwBgjAN6o38r0zrg2L0dsSNGw7F7R5dtjVnZyLvjHsQMGBz0/UjP4gqHQlv/EEKikCk7DwP/77+oeO8N1C79rP02/QbCvv+QqvtwhUP5xaRKxe1G+Qfvo/KLz5E551JkzZsHfXy8qvsQohVvQwPK3v8AFZ9+CtnZ8hBRMOggqJibKDU1wTB2LHx1tV1PsBQEpF86Dxlz59M5ohGMakhCSDRioojMK36DuNHjUPzUo/DVVrfbLvmc89Cw/HNV9zImJwGS+6T3PEWHUPHCIzD1HYzEWZfDPHA4PYMkYYFzDodHQo3DA5evZSDbrBfgU5SgVlof45NkJMXoUe/sepGa1aTDqTmJiDdR/RipqH4kxD+0h1mU0GfmIumae2EaeVqba8bhE+Das1lVfM45uK/jgUBfeTHq3nsONf97FO7De2hGEOkxnHM0bfsJBf/8I4oe+XvrgDbQsjoNslfdDWQZTK+DaO384XvK+Rdg8OPP04A2IcQvxcXFfrV77LHH8MUXX0AKYgtcQn5J0BvQ55ob0fe+h6D7xVm9gtEEy9AxcBV1vpK7K2J8IngHq3QUlwtl776DrVfMw9H/vQrJbld1L0LU8NbWovCZZ/HTnMtQ+vY7rQPaAKB4JYgxFlXx61avRuL0czptY0jPxMD/ewJZV/2WBrQJIX6hGpL0hNihIzD4yReQMHlqm2sp581G07qV6m4gMEDu+Bmk+8gBVDz/b5Q/9y/VW5wTogbnHE0uHwprm3G0wdU6oA0AAmMw69QNvShgSIkxQCd0PnljUIoFZ/VPpQFtQohfIr1+pEHtKCIYjIifeRXiL/xty3bjAMTEVDBTLGRbvarYYkKqX1vu+cqOoO7dZ1D7+gK4C/fR4DYJGa4osP20DgV/uwPFj90P1+EDHTTk0CUkqrqXY+c2pJw3u91ruoQk9Pv7v5F9w60QjCZV9yE9j/OfJ/WofvX034SEqw8//BCDBw/GzJkzu2zr8/nwr3/9C3PmzMGgQYPw7rvvhiBD0htYx5yCQQsWIm7sKa3vpc+9GpVfLFIXmAnw1TV02Ux2OlH61lvYMm8ujr7+Gg1uk5DyVFej4Mn/YtOll6Ps/Q+guN3ttvPam9XdSFFgLyyCKb9fu5eTz5mJIU+9gNghw9Xdh4QFqiFJd6MakvQ0nSUWeX+8Dzm33A3B1PLsw5TfD4JBhNzUqCp2TF6eX0fHuQ/vQ/mz/0L5cw/BVbBf1T0JCQTnHDaXDwW1zShpdMEttb/NuEEUYBDVDb80uiQMSo1t91qMXsTUvskYmRkPsYuBbxL+qH4k3S1a6kfafjwKmYaMgz4rH01fvQvTqNPR8Nlr6gLqDAEPintLClD39lMw5A1E7KRz6Mxt0m24IsO2cS1qPvsA7pKiLtszxqA47ABjqs7Xtq3/EYlnnouGFce39Y8/7Qzk3HQ7dF2s4iaEELfbjauvvhqLFi0C5xyMMdTW1iIlJaXDPhs2bIDT6QRjDEVFRfjNb36DZcuW4Y033oCeVvQRlfQJiej7l3+hdvliuAoPo2n3HihOZ9cdO2HMykXz4cN+t5ebm1H6xhuo+OQTZF52OdJmz4YpNVVVDoR0xF1RgZK33kbV0mXgvq63dOReCYa8PvBWVwV9T8euXci7+WZ4ykpa76mLj0fuLX9E/KmTgo5LCOk9qIYk4YQxhuSzzkXskOE4+sJ/kfari1H2wgJVMQWLBbKtNqA+rkN74Dq0B+bBI5Fw9oWIGTxSVQ6EdOTYYHaNwwuvH+dlM8Zg0jF4VRwvDwBOj4Q+VhPKmo5PvsxNMGNMVjz0KgfNCSHRL9rqR/qpF6VEaxIS590GMAFMp27ugj4tC5CD22LAW3wIde+/gKqFD8Kx+UcoKs4yJuREis+LhlXf4dA9f0DJM//xa0C7FZdhys5VdX9PRRmMmZkwpGdCMMcg97Y/If9Pf6cB7SjDFa7Zi5BjZFnGJZdcgkWLjq+C5Zxj586dnfYzGAw499xzIYpia58PPvgAV155ZbfmS3oPxhhSZ16E7N/d2nL2rwq6hEQ4jxwJqq/scODoq//Dposuw8H/LIAjgIFxQrriKCjEwYcfwebL56Hy8y/8GtA+xl1RrfqzVcXHnyDjiqsBANZTJmLI0y/TgHYUohqSdAeqIUm4Mmb1wcCHHgeXfWB6db8nLf36Bb0AwXVgF+refw5VrzyC5u3rAvodT0hnFEVBfbMHh2scKLO5/RrQPkYnCIgziqru7/QpyLKaYNIJMIgME3MTMSEnkQa0owzVj6Q7RGP9SD/5opx5yBik/f4BmIaND6q/mJgKb/nRoO/POQeXfPBVlKDh8zdR/tjdaFj6Pnw1FUHHJL2bt7YaVZ++i/23XoPSF5+Ep6wkuDjV5RAt7W/f46+aLz5B9u/vwOAnX0DS9HNoN4IopChcsxchxzzyyCP4+uuvAbT8npw/fz4OHDiAs846q9N+EydOxPLly1FQUID58+e39v/ss8/w7LPPdnvepPcQjEYMWfAU+v3pL23O2vaXMTOnw7O0/aIzQvF6Uf7JImy+4mpsu+FmVC3/Bgo9nCRBUHwSalaswo5b78T2316HqiVLgvr3qXh9iOk3QFUu3toaeGwO9P3rA+j3t39Br/JYHBKeqIYk3YFqSBLuEk4/E/0fWYjYsROD6m/M6wtvWXCTIgGAiSIYV+ArLUTDZ6+j4sl70PjNJ5Dqq4OOSXo3n6ygwelBUZ0TFU0eeOXgfi/rGIPa3cHLbG5MyEnAjIFpyI43qwtGwhLVj6Q7RGP9yDgdetxreAr3oXH5B5ADKOaMA0bCfWBH8DfV6aG4XO3H7jcEsRPPhHnIGDCRdsInHeOyDPu2TahfsRyOHVuAn88IEYymDs899EfM0FFw7A7u37c+KRmZ83+HhNOn0WB2lCktLUVOTg4AIPvKF6GLTVYdU3LUofT93wMASkpKkJ2drTomiUx1dXXIzc2Fy+WCTqfDW2+9hSuuuCKoWAsXLsStt94KALBarSgtLUVsrLrJOoT8kmS3o/TN11C9dLHfq2Zih49E49adgBLcoDZXOHxuud376ZMSkXnRhci69GKYMjKCik96D1dZOSo++wIVX3wJb20dAIAJDKIh+NUygtkEY5IVvvrAjmc6JvW885F7w40wJKmvL0h4oRqSdCeqIUmksW/bhMq3X4Kv1s9nkExAwsSJcB3ofOVYZwzJSWByOxMgGYOx/3DEnjodpoEjwQRa40U6xjmH0yvD4fHB7ZNb33NLHEGOaQMABAGobQ5ugq5RJ6BfsgXJMXp6Bvn/7N13fFRV3j/wz73TMiW9Egi9CoKAgICIiKKiiCCKBcWuj6591f09uquuq64+uru2ta6sZXVtqKiogIqCSBNEQDpJgPSe6fX8/pgwZlJnziSkfd6v12zunbnn3HODm3xzvqd0M4wfqT111/iRmcQexDBwBDKuvx+29atgW/sFhK/lX6SGoaPh2rNd+n5CCAhv88uWuw/uhvvgbmjik2A+8RSYJ5wCbQJnKtBvPKXFqFq9AlXfrYSvOrzjUFEUBNzyCW0AcOzfjbicfnAdzo+4jKLVIv3cC5AxfyE0cRwZ2d0J4YeQTMo0rIcIAN566y04nU4oioKHH35YOpgEgJtuugk7d+7ECy+8AKvViv/85z+44YYb2rC1RIA2Ph79f3cb0madhfzn/gH73j0tXq/odFCNFumENgCo5njAWdXkZ97KKhxa8joOvf4mUk+eiuwF85By0iR2TlJIwOtF+ervUbj0Y1St39jocxEQ0JjN8NvtcvU7XTAPnYjq9euiKmceNgwDbrkN8ceNlLovdS2MIamtMYakriZ+7ESYjxuN8k8/QMXyDyF8LW9rmDjlFDh3bZa/oaJAae7nrhBw798B9/4d0CSlwjz+FJjHnQyNJUH+ftTteP0B2Fxe2Nw+BBoMrlUUBVoV8MeQ1RYBgTitCpcv8qXLVQXISTKid6IRmlinelOnx/iR2lp3jR/Z+9PDKFod4k8+G+k3PoC4oaObv85ghKLVx9QhqRgtQCuJcwDwW6tR++0yFD15D8rf+SdcB3aBCwj0XMLnQ83GH5D31z9i753XouyTdxsltOvTxMfwR4jXg7h+AyK+PGHcRAz720vodemVTGgTkZSvv/4aAJCWloa77ror5voefvhhGI3Bn0crVqyIuT6i5liGDsNxf38O/W+5HZoWRuOmzZqNyh9+kL6PEAI+p7v1CwMBVHy/BttvvRMb5l+EQ2/+B97qGun7UtfnyD+EA08/h3VnzsHOe/63yYT2UV6rI6Z7Va3fBEuEyWltUhIG/v4eHP/8i0xoE5E0xpDUFamGOGQsWISBjzwH88gTmr1Ok5AEVRXSe2kDgD49HRCtJwv91RWo/fojFP3tHlR88Arc+fvYB9mDCSFgd3tRXONEYbUDtS5vo4T2UVoViGULawEFaSZ9xNenmfUYn5OEvskmJrSJSEp3jR85U7uH0ialIuWi/4Fr7y+o+eo9+Gsqwj43TzwN1u8/l65fCAFVifI3fSAA586f4Nz5E1RTPMwTpsM8eiJ0mb2l20Fdh7u4EFWrv0LVd6vgr62OqIyiKBBeT0z3tW3ZgMRJU1GzofkOeH2v3ui9+HokjJsY072o6xGBNhol2QZ1UPewbds2KIqCWbNmQauNPQxLSUnBaaedhs8//xxbt25tgxYSNU/RaJBxznlInjoNh//1MspXfhX2uaFXL3grq4FA5LMPGtKlpMFxpDiqMq4jBTj49HM4+PyLMA8Zhn5XXIrUk6dAY4yTbgd1DQGPB2XfrEbh0o9RvemnKMp5YchKg7e6Wuq+fqcTxn4DYdu9q/n/3lUNss6fh5wrr4TWEi91H+q6GENSW2MMSV2ZoVdv9L3nz6jduBYlb78KX1X4xIXUs+eiZsUHMd1D1WgQVWra74dz+0Y4t2+EITML5gnTYRg8Bprk9JjaQV2D1xeA1e2F3e1FpNsPK4oCvQo4Y9iv2O0LINmoQ5Wz+UlgJp0Gg9LMSDLqpO9DXRPjR2pr3TV+ZFK7h4sbOhr6AcNhW/sFbD+uBAJ+6LJy4Ksqj6lDUpOQDF9luVRZIQT8Tjtqv1mG2m+WQZveC6ZRJ8I06kToeuVw75BuxFNSCOuWDaj89iu4Cw5L1RFwu6BNToWvqqL1i5spr0tNDe7P3WA5czXOiMwLLkHa7LlQdZGPpqTuQwQCbRRQyv88pe6loiL4s2ro0KFtVueYMWPw+eefo6ysrM3qJGqJLikZA++6F+lnzkbec0/DmXcQAJB1wUIcePKp2CrXyv++Dbg8qNmyDb9s2QbVGIe0aVORMes0pJ0yFVqzObZ2Uafhd7lQsW4DSletRuV3q+F3yM26FjEuWla2chXSzzwbZV80HgiccMJYDLjlVpgGDIzpHtR1MYaktsYYkro6RVGQOGkaLKPHo+yjd1C5YhkQCMA0bCS8xYdiqtvQqzeEs1a+bX4XHD9+AcePX0CT2guGwcdDP3gMNCmZ7IPsRvz+ADw+P6wuL5xRLAFen6oAGlWBXzKx7RcCKUYdqp3eRoMwtKqCvslGZCfE8b+7HorxI7W17ho/MqlNUHV6JMyYC9PoSaj56j0YT5iKqg9eja1OSyIgmdQGANTba8dXVoTabz9F7befQpuSDmNdglvfZwB/yXcxIhCAK3c/rFvWw7plfSiRLYQAFDWipaIaUhQFGpNJOqkNANXff430OReg5IP/hN5LnnYael12NXQpqdL1EhE15Kv7/abXt91Amfj44AxAjye2lSuIohU/6niMfO5FlC77CI6DB1H905aYlo00ZPeBdV+udHnVaEbAawUQ3Pe4dMXXKF3xNVS9HqknT0bGGach7dRp0CVw1mxX46mqQvnqNSj9+jtU/PAjAq7gEvWaOD1k/xpwFZfC1CcLnnK5v1l8Viu0CUnQJiTAVxvsSNdnZKL//9yElFOm8+8UImpTjCGpu9AYTci69BokTZuJ4rdeQcqsc1D2xjMx1alNTIJPMqmt6rRhfVH+iiI4Korg2LACmuR06AePgWHQ8dCk9+bv9i5GCAFfIACv1w+Pzx9aVlxV5P9eURQFRi1g88jXUev2oXdiHI7U/DaxJivegH4pJuhjWd+ciKiB7ho/MqlNIdrULKReeis8hXnQZfaGt1hu5qwmJQOeI3nS7VDjzAg4bE1+5qssg/X7L2D9/gtoklJhGjk+mODuOwiKyl/8nVHA64Vj1y+wbtkA69YNjZaZAoJBoRpnhN9hl7qHu/AwdGkZ8JaXyrXR6QAgoO/VG6rBgD5X3wTzcO55SIDw+yH8bTBKsg3qoO4hKSkJZWVlKJdMojSlqqoKwG+BJdGxpGq1yJp/IYQQyHv2GSg6HYS3+eX0WqJLSwckk9oiIOCvtTb5WXCJ6u9Q9s13ULRapEyeiIwzTkP6adOhT06Suh+1P8ehwyj75juUfv0dqrf83OQqUn63B1qD/J+0+oxM6aQ2ABR9/An6XXMlDr3yMnpfcgmyL74Umjgue0+MIantMYak7iYupz/6/79H4DywC7qsPvAWH5Gqx9CnP3wxzPTWJScDfneTn/mryuDctArOTaugJqTWzeAeDW1mXya4OykhBLz+ALw+Hzw+f5PjbVVFgVYFfJKzrYUQ0KqKdHl/QMCi10CvUWHQqhiUZkZ8DPEsdR+MH6mtddf4kT8xqRF9dn+kX/+/cO3ehtrVn8JXWhBVeV1mH3hLCqXuLYQAIlxmw19dAesPK2D9YQU08UkwDBkJfc4gWE44CWqcUer+1Db8dhtsv/wE60/rYfvlJwRczlbLBFxyS0cCwaS4oXeOdFIbAKw/rcfA+/4CfVo6FFUjXQ8RUUuGDRuG0tLSNt17ZvPmzQCAPn36tFmdRNFSFAUDbr0N2RdfjCNv/Qeln38GUW/lndaYBg1C9dZfpO+vsVjgd9e0ep3w+VCxZh0q1qzD7oceQ/KEcTAPHYLeC86HeWB/dlB2ICEEanfuQtnXq1H29WrY9h2IoBCgTUyEr6b1f/um1P66C3EZGfCUysWQvtpa6DOyMPb1N2HIypKqg4goEowhqbsyDhqBnHufgG3rj6j68kN4S6PrT4zr0xeu3fIr9ymIbMXAQG0FnFtWw7llNVRLEvT9h0Hfdyh0/Y6Dwu3qOlRACHh9wdnYXl9kfcrBpLbc/RRFgVmvosYV+d86DdncfozJToBBq/LvDyJqN901fmRSm5qkKCqMI8YibvgYuH7ditrvPoWvrKjVcpr0bLjz98vfV6uDiCAB2pDfWg3b5jUQG75DxYdLoO/dH3EDhwVfA4ZBY+bI4/YUcDnhPLgXzv27UbP+e7iLCgCJUWEaSwL8Nrklo5y5+6Rma+vSM5Ex9yIknXI6VJ1O6t7UjQl/m+xnA8FRkhQ0ZcoUrFmzBmvWrEFpaSkyMjJiqq+4uBjff/89FEXBmDFj2qiVRPIMGZkYdOed6H3ppSh4802UfrE8opHipqEjUP3Lbun7qkYzgOgSm8LvR8WPG1GxYQvy/vUm9KkpSJ4wDsknjkPyhHGIHzoIioYD3dqLEAL23HxUb9mGki9WwrZnDzwVjVf0aY3fJb/sWcDlQfyoUaj45pvoCmo0yDhzFnIWXwFT377S96dujDEktTHGkNSdKaqK+PFTYRk7Gbaffggmt8uLWy1n6D8U7vy90vfVxMcD/uhXGArYquHdvxUo2g3Pxk+hpvSCJqMfNBl9oUnvC8XAiTbtSQgB4ffD7/fB6QtIJae1SnB/bMnJ1hAiILW3tl6jIt2iR6JRx2Q2Ncb4kdpYd40fmdSmFimKCuPI8YgbMRbOX3+CdfWn8FWUNHt93OCRsH7/hfT9tKmZ8BbJLXuuaHUQfjcgBDxHcuE5kova778EAOgyeyNu4PC6RPdwaBOTpdvY0wkh4Ksog2P/Ljj374Zj3y64D+f9tgeRopFKaB/dG1s2qR2wWZF46hRUfvNlRNfrs7KRcf5CJE2dAUXLH4XUNBEItElAKZpYMpV6pgsuuACPP/44fD4f/vSnP+HFF1+Mqb6HHnoIPp8PiqJg9uzZbdRKotjFZWVh0N13o/eiy3DkjTdQ+tVXzcYH5uHDUb15i/zNVA1cBa0PvmxOoG4vKE9FJUq+XIWSL1cBALQJ8Ugef0Iw0T1hHBKOG84BcDHwO52o2f4rqrdsQ9WWbaje8gu8VdWhzzV6ua2EvDVW6BPNCLibXjq0NbZ9B6BPS4WnvPVZXopWi8zZZ6PPFZfD2Lu31P2oZ2AMSW2NMST1BIqqIn7CNFjGTYF18xpUfbUUvormJy6Yh4+Cff1K6fvp0zMhauRWa9GYzAACgBAIVBQiUFEI764fAQBqUiY0mcEkt5reF6rRIt3Gnk4IEfwe+/0IBIIJv/q/G0VABRB9clhRFOg1ClyS07UDAkiM06LSEdmgCINWRbrFgIQ4LZPZ1CzGj9TWumv8qAjR1O4SRE0TgQCcOzai9rvP4a8MD/x0WTmAwQj3/l/l6hYCqjkBAavc8oFCo494CWttakYoya3PGQhdRjZU7sndJOHzwnUoF879u+DYF0xk+6qbn0UTXEJe8l5QgvvdSP4CN404Hp6iQngrm98nwtA7BxnzLkbiSadw9hU16ciRI8jJyQEAZJ73V2hMsQ+C8TuqULLsDwCAw4cPc4m/Hm7KlClYv349FEXBkiVLcMUVV0jV8/bbb2PRokVQFAWZmZk4ePAg4riXK3VSziNHcOSN11G2cmWjvZFzrr0eB55+Xrpu89BhqNm2U6qsABDwRhZ3aIxxSBo7BskTxiHpxLGIHz4E+sREqfv2BK7i0noJ7G2o3bm7xSXp9ckW+O1y29EkjhoO+3751aL6Lr4Mhe++2+znik6HrDlz0OfyyxDHZcapGYwhqb0xhqSeRvh9sG78HlUrlsLXoJ8nbtAIaON08BbkylWuKDBmpUN4XFLF49JTgUBky08rCamhmdxqam+o8SlMbDZDCAERCAQT2HWJ7CY3xq7jFQo8Qq4/NyAE7F75tEicTkWVww9/C+2Lq0tmxzOZTc1g/EjtrTvGj5yeSFFRVBWm0SfBOGoCHL9shPX7z+CvCgaWprEno2rZm9J167Ny4Ck8JFVWCBHVnsy+ilLYKkph2/Q9hBBQdAbos3pDl9kb+qze0Gf0hi6rN7TJaVB6SLJbCAF/bTU8JYXwFBfCunU9/HY7XHn7IbxRLuuokZytDYG4/gPhPCjXKenYtR1p51+CsqVvN/osru8AZMy7GAkTp/aYf1OKnQi0zdI/bbJ8EHUbTz75JKZNmwYAuPrqq7Fv3z7cf//9MBgMEZV3Op145JFH8Pjjj4fe+/Of/8zOSOrUjH36YMj/3oc+l1+Bw6//G+WrVgFCwHLcSNTskBsQeZSQ3RAPgD4lBa6Ssoiu9TtdqFi3ARXrNgQ73HwCpn45sAweAMvggbAMGQRz3bHWbJJuU1fjd7ngyD8Me24+anfuRtVPP8N5uACuwtaXDa1PCPmOPneV3KDYozxVNdAlJ8NbVRX2vqrXI+v8uehz2WUwZKTHdA/qWRhDUntgDEk9jaLRImHyaYifcApqN6xG9YqP4KsOrqySMHEaar54R7ruuH6DIazNr0TZcrvUiBPaACBqK+CrrYBv/xYo5gSoceZgYtuSDCU+BaolOXhsjO8xic/ghBg/hN8H+H3wB/wQqjbqGaZaCMhuRKPWzdb2+OX+lnB5A0g26VBub9wCoy6YzLYYmMymyDF+pPbQHeNHztSmmAi/H45f1sO1bztUSxJs6+SX/YkbOhrOXT/LFdYb4Lfb5crq9M3u463o9NBlZP+W8M7sDV1mNnRpmVA0XXNMiN9hDyau617eeseBet8HERAtjoZsiSYxtdEo2kjFDR4Oxx75zu3U2fNQvXZ1aDa5ccBgZMy/BPHjJjGZTRGpP0oyffaf22yUZNnyPwHgKEkKeuCBB/Dwww+H/sBNS0vDJZdcgtNOOw1Tp05Fampq6FohBEpLS7F27VqsWLECH330ESoqKnA0hLvsssvw5pvyg8qIOoIjLw9HXn8dyVOmYuf9D0oNhgMA44D+sO3JjWjf7qaoZgu81dEnREVAtJhMj8vOqkt0Dwx9NQ8eCH1S15zZHfD54CwoguNgPuy54S9XYXFYzKjqdXL/Hgqg0cnHagkjBsORmydVVmM0ot+1i3HolVcBAKrRiOz589D70kugT0mRbhP1LIwh6VhgDEk9mfB5Ufvjt3Dl7oUuMR6OLWul67KccCJ8h+X249YmJUOrkUuEapLSf9u+r9GHWiiWZKiWFCjxyXXJ7hQopoQu258lAgEIvxfw+yD8Xoi6r/D5EFwzKSigiwN0cnuRu4QGftm9saHA5pFPACYYdSiudYf25jbqNHXJbA2T2RQRxo90LHS3+JFJbWozzl0/w/rDCrjz9kRdVjHFQ9Xp4auMbKZMQ5rULHiKj0iVhaqRmomsGs3QZ/WBxpIATXxi8OvRV3wCVHPwfTXO2O6BjAgEEHA64Lfb4HdYEbDb6o5tcOXugwgE4C0vgae4EP4Il3cPjpqUTGrHJ8FXXdX6hU3R6aCxJMJbLrmvUUISUmfPQ+2mdcicfwksY05kIElRYUBJx8rdd9+Np556CoqiBFcNqfezSqfTIS0tDW63G1VVVagfrtU/vvbaa/Hiiy9yCw3qstzlFTj8xlso/vRz+KzWqMunnzELRcuWy91cVeF3R7YPXkMCCoQn8hk6R2mTEqFLTIRl8EDo01KgT0mGIfQ1FfrUZOhTU6BPSTom+3f7nS54q2vgramFp7oG3upaeKtr4CqvgHXHrxA+P+y5+XAcOgzhjex5dUkJ8FltUu0xpCTAZ5MrmzFrBiq/XyNVFgCG3HMnij78AOlnnIHeCy+CLilJui7qmRhD0rHCGJIIcOzYBNv6r+E5fCDqsprkVOjNBginXMwR17c/YJfr89IkpqF+Mjciqgo1KR1qYjoUrQHQGaDo4wCtAYqu7lwXB+gMwcR4e/dB1s2yrv8SAT8Q8EH4PBAafV0S29d8Ar9hnaoWIi5eqj1eqPAEJJ9ZCNh9Qrb7E1pVgVajgcPrR7rFALOeyWyKDuNHOla6U/zYNaeaUqdkHHECjCNOgLekALaNq2H/eR2EO7K9aYzDx8C+6XvpewcivE9DQggg2oQ2APj9CLhdcO7d0fq1Gm1Ysttvt0OXkQ1FUQFVARQFCoJfoarBHyj1XoqiAooCT2kRVHM8Ai4n/Pa6xLXDHjx22JudVS2E/IxrqBqp/a19tVXB9svc1+uFedhIVEsktRWtFpaRo5F88mlIP/cCBpIUMxEItNHSP/JL41L39X//93+YNGkSbr/9dhQWFoaCSiEEPB4PCgsLmy07aNAgPP7445g/f/4xbDFR2zOkpWLwnbdhwE03oPSrlSh4/0PYdkc2QFJjNsFdJrcyDAAY+/WFbW/0HaEAoE9Kgrs0+nt7q6rhqaiG/WB+q9fqEhNCSW6N2QT4A4jLzoKiKsHZOkdjRVUNnqt1MaWqQlGDX4XPB+eRImgT4oPJ67qXpy55HXC7m72/Rq+VmnEdkJw1DwCGrEz49st1MLuKSqHGxSHgiv7vAtOA/tAlJ+PEd/8LRaORuj9RfYwhqT0xhiQCTKMmwDRqAjxFh2DftBqOXzZEPGHFNGw0vPt+kr+5r/n4qUWqiqgT2gAQCABCQFSXtF5aUcOS3IpWBzX+aJJMAZS6r02eIxhfIrh8sRJn/i1h7a9LYAt/i/2EQmOA0EksSRvFcu4NaUQAgGT8pigw6jSwSwxWVQAYdBokG/XQaDhAiGLH+JHaU3eKH5nUpjany+yN5DmXIXHWfDi2bYBtw7fwlrQwi1pRoGjlZ6IoBiN8VZIdmjEkPRVFjSwU9fvgr6mEvya4HLaACteB6GezBwIBqdhXlqIo0MQnhpbxjrasLqs3PIWSs+cD/mCwH+EvYX2vPkg57SwkTTsN2viuuawnEfVMCxYswJw5c/DGG2/g7bffxg8//ACfr+k/qJOTk3Haaafhsssuw5w5c6Bh4oW6EU1cHHrNnYOs886FdeevKPhgKUpXrILwNN85mT5zJgo+/FT6ntp4udkgAOo6JSVEEct5a2rhramNKAHeHlSjEX6JWdN+qz2416QEv0du5jwA1O74FdnnnYXSryLbDknV65F+xkxkz5+LxLEncDAkEXUpjCGJgvS9+kJ/3hVIPGMB7Nt+hH3TavjKi5svoNVC1cn/f0C1JAJuh1xhrV76vkqkE0dEAPA4ITzB7QWVhFSIaokkvMEMIZO8j3BmdkMKAAGBsAR7hFQFUKEgIDmhR69REM2GljqNCotBC7NBB43K+JGIuo7uEj8yqU3tRjUYYZl4KswTpsOTvx+2jd/CsXNzoz0T44aNgWu//B7Kuuy+8O3dKVVWm5AsnRCXHTmlaHUtdtA2Ww5KXYB37CgxLHupTUyWTmrbd/2C+BMmwLplQ7PXKDodEiaejJQZZ8E0fCQ7IqldBIQfShuMkgyI2Oug7stgMOC6667DddddB5fLhV27duHw4cOw2WzQaDRISkrC4MGDMXDgQP6so25PURQkjBqJhFEjMfj2W1H82eco+GApXEcKGl0b16sXRDN/gEVwI+lZ3kII+Gpq5W5r0EO4JFYJikUUAwXDiul0ONa/vRz5h6E1ys22hhDQZ2a2epl58CBkz5uLzHPOgi6RgyGpfTCGpGOBMSTRb1SjCfEnzYRl0mlw5+6GfdNqOHf/3CgGMh43Ht783dL30ffKASoPS5XVxCcDPsk4UHYFRkV2IKbsJtXyv7eUQABClUuaaFVAdmvsQCAAg1aF29d8vKwAMBm0iDfooNeq/JlK7YLxIx0L3SF+ZFKb2p2iKDD0HwJD/yFIsi2E/ae1sG1cHZq5HDd0NJw7t8jXr5dY1qaOajIDEkltIQTgkVtuSNF2wP/tJDszZZLvRwXcTumyfmstTMOOazKpbejTDykzzkLiyTOgtcQww4ooAuLoUlttUA9RJOLi4jB27FiMHTu2o5tC1OF0SYnIWXQp+lx6Mao2bETB+0tRsfYHIBBA4rixqN4WwTYwzUgYdRyqtvwiVVbRaOB3ym19o09KhKu4TKqsLE2cAX6HfFwmw5CZAXdJ9FvJCK8fCROOQ/Vmub8NrLv2wjxkMOz79oe9r8YZkHHmGciedz4SRo/qtH+cU/fBGJKONcaQREGKoiBu4AjEDRwBf20V7D+tge2nNQhYqwEAxkEj4Ph+l3T9ql4P6YV9DUbJpHZwHrMU2SXPZZ9ScqZ28Jbe4DaIErQQkO3BDAgBk14LdxP/NjqNivg4Hcx6LVTOyqZ2xviRjrWuGj8yqU3HlMaSiITp5yB+2tlw7d0O568/wV9bLV1fTEuPA0Dg2M58BiC/1LpkDKsoClRLgtT32WeTm4UEAJ7Cw9D36gNPkdxsbV9tNXSp6fBWlEHRG5B40jSkzDgTxiEj2BFJRETUgyiqipTJJyFl8klwFRWhcOknMA8djJ33PCBdp2lAP+mktqlvDmx7D0qV1RiNUuVioYmLk0pqB2RnwQMwpKdKJbUBQJ+SIn3fqg2bMfjOm3HwH88CACzDhiJ7/vnIPPtMaOMt0vUSERFR16NJSEbCjPMQf8psOPdsg/vArwhYK6TrU80JELbot+g7ShGSqWnZbW+A4ExtmVmbshPDAYhIl0pvyOsBtJITlwJ+KIpGeoK5VgkuYx4QwWcwG7SwxOmg13BWNhFRZ8OkNnUIRVVhHD4GxuFj4LfWQGOJh2PHT3Dn7o5qRnHckFGw/bxeuh1+W41cQY0GkOzoUzTH/v92GpNFKqmtQECbmgFvhcxMGw+MA4dKJ7VtWzYifd4lEF4vkqaeCo2ZHZF07IlAoI1GScYwWpmIiELievXCwJtvhPD7oXsxCaUrvkbpqm/hKY+yg1LId04ZMtKlk9odsWKPGmeQKud3yM1GB2J7Tq/VDkWjgfBH//s34PFAl5CI7Avmode8uYg/bjg7IqlDMIYkIuo8FI0WpuPGw3TcePhtNdAkJMO97xf4CnMRTfZW3384RPEeyUaoEO5odm6uRycXyx29r1xSO5ZJQJKzcmJZulwBdKoKTwtLiLfE6/cj0aiHoigwG7RQGT9SB2D8SBQZJrWpw2niExF/0mmIP+k0+O1WOH/dCseOzXAd+LXR/tsNadMypQMtbXoveIvlEq7apFT4ykukynZIZ6ZBPgDWZWRJJbUBQGOJMhGtKDAOGYGE8Schftwk6DOzpe5LRERE3Zui0SBl0olImXQiht13N2p+3o6SFV+jdOU3cBe3HKMlHD8Stb/K76UYSywn28Gg6PXS28JojHIzXgIeD1SNXIeeL4blzmu3/4qk8SegauNPEZfRp6Ui/bTpyJh5KpInnYjseXOk709ERETdl8aSCOOYaTCOmYaAvRbugzvg2f8LvEcOtLp0tiYpFf5iufuqKVmAT24bQ9UUD9nlwBVVkSsawzLishO1lbrCQrafV1GiXoJcq1Gh12qg02qgiWVGPBERHTNMalOnojHHwzLhFFgmnIKA0wHnrp/h2LEJzn07Gs2MVvQGBGLY81mXIZ/U1lgSpJPa6ICZ2rF0vsYyQ9pbVQ5tUgp81c0vz6To9DCPGov4cZMQP3YCtAlJ0vcjanN+v9RMsabqISKi9qGoKpLGjUHSuDEYeu8dqN3+K0pXfoPSlV/Debig0fWpp0zF/qdflLyZAp/VJt1W6b24E+PhLpNbLlM2qQ0A2oR4+GqtUZdzHimELjkJ3qrqqMt6KquQeMLoVpPa5kEDQonshONHQmFHJHUmjCGJiDo91ZwA4/FTYDx+CgJOOzwHd8B9YDu8h/YCDWZLKnFmKD75VWzUxHSICrk+SMVgAtyS8afSteIjBUJ25XOoCEQ0R1yn1YQS2ZyRTZ0K40eiiDCpTZ2WajTBPG4KzOOmIOB2wrnnFzi2b4Zrzy/Bpa2HjYY7f590/RpzgnzbTGbpsopGI11W/qYxBGkxlHXu3w3LCRNQvfqrsPc1lnhYxk5E/LhJsIwaC9Ug39lK1J6E8LfN0j8xLKNFRESRUxQFiaNHInH0SAy+83ew7d6L0pXfoGTlN3AczAMA6NPSpFf6sQwdDEfeIamyalwcvDW1UmW1CQkxJLXl9/E29u4Fq0RS22+1IWX8VJSv+VHqvlpLfOM3FQVJY0cj/bRTkX7adJgH9JOqm+hYYAxJRNS1qEYz4kZOQtzISQi4nfDk/grP/m3w5O8B/D7oBx2PQNlh6fqVOLN0slbRGSCOdVI7huXHFRGQf9aAD1Ak0xWBAHRaLTy+BgMSFNQlsbXQcY9s6sQYPxJFhklt6hJUgxHm0ZNgHj0JAY8brr3boVoSUPafF2KoVT5AU3V66bKySW1F1QBaDYQn+uWKhF9u/28A8FlroJrMCDii3/vHX1MF45DhqF79FXQZWYgfF1xW3DRkRMck94mIiKjHUBQF8SOGIX7EMAy69X9g238Q1Zu3wO90Su/ZnHj8cajdLrd0ual/Dmp37pUqq0toIskboVhmahvS02DdJddmY05v6fva8w7DMmwIHLn5SJkyCRkzT0XaqdNgSEuVrpOIiIgoEqrBiLjh4xE3fDyExw1P3i6o8UnwrPtQuk4lhj5IaHXyZTsggRtMqMn1+Qm/D5BcbVKIAHRaFR6fH6qqhGZja1UmsomIuhMmtanLUfUGmEadCADo879/g6+iFK6Du+tee+CrLGu1Dm1qRotLYrcqhuV7FNnlx5XgUuA+iaR2wOWCaohDwB39Ukne0iIYBw2HfXvk+xoCwdnYxsEjYOw7AAMffQ6G3n0ZRFKXIwKBthklKbmHKhERtR3L4IGwDB4IAOi94HzU/LwdlZu3oGrTFtT8vD2ibW3isrKk72/M6d1BSW35mdq65CTpstp4iTarKhJGDIUpJxsDrrkMcVlZ0Jjk20/UURhDEhF1D4reAMPQEwAA2vl3Qlgr4C89BH9JPvyl+RCO1lfhUZOzIBzRr3zzWyM6YPVFBcG+T5m9tQN+QJWcyOL3QtGbJH7/KVA1Gmg0KhJNcdBoutay60QA40eiSDGpTV2aoijQpWVCl5aJ+InTAQC+6gq4Du6pe+2Gt7SwUbm4AcPg3LdT9qaN9taJimxgp6jBpHZV9EtPBhx26DKz4T50MOqy/poqxE2d2WpSW5+dA+Og4TANGQHj4OHQZ/VmEpuIiIg6Ja3ZhNSpk5A6dRIAwO92o/aXnaEkd/WWbfA7nI3KqQb51XriMtLl25tgkS4bS1JYa5G/r/D5oWi1EL7mVwzSxluQNHY0ksaNQfK4MUg84XhozSbpexIRERG1F0VRoCSkQU1Ig27wOABAwFYNf2l+MNFdmg9hbTyBRk3vi0Cl3H7a0Ohi64OEbL+cEuy/9EefHFMCfgitFghIrBrp90FRNa0m5RRFhaLRQFU1UDUaQFHYB0lE1EMwqU3djjYpFZZxU2AZNwUA4LfWwJW7NzST21N0CIZ+g2Dd+J1U/bq0TPjtkiMsVQ2gyo0WVBQFqklulo7fboNx6EippDYA6FLSwtui18M4cBiMg4fDOHg4TIOGQ9PU3odEXZwItNF+Nm1QBxERtR+NwYDkCeOQPGEc8D9AwOuFdddeVG76CVWbtqBq81YYUlPhKm59RaDm6JISpMtqE2OYqR1DUls1GKTLOo8UIGHkcNRs2xF6z9QvB0njT0DyuDFIGjcGliEDoUjGxkSdGWNIIqKeQbUkQbUkQTdwDAAg4LTCX3oIgbokd6C6FJrUXvCVHJCqX7EkA97oV2wEAGj18jltoC6p7Y2+XKBuYKNHbitEVQEaprSVuuS1qmqgaDRMYFO3xPiRKDJMalO3p4lPhHn0BJhHTwAA+J12CI8HKXOc8BQXwFtSAE9JAYSr8Wycpugye8NTXCDXFks8ICT30VEUaMxmubIBP3RpGdL3VU1mJEycFkpix+UMgCK5xw1RVxJc+if2ZXu49A8RUdei6nRIHD0SiaNHYsA1V0AEAnCXVcC6Zx9UnRa2/Qdh23cQziOFEcd2GqNkHAdAJ7OUdx1tLMt3q/Idhq7iUmSffw5SJo5H0vgxSBo7Boa0FPm2EHUhjCGJiHom1RgPtd9IoN9IAIBwOyD8fiDgh7BVImCtgrBVRZwsVuOTITwOucboDJDeyltR5FeaDPgBNYY+QyGgarRQNRooqgYK98SmHoLxI1FkmJWiHkdjNANGM5JmnBt6TwgBf00VPCV1Se7iAnhLg18DDWZl6zN7w7l/l9y9LQly+9EAgBpcflyWNiGpxc81icnQZ2Y3eunSM6Hq9EicOE363kRERERdmaKqiMtMR1xmOtJPmRJ63+90wnYgD7b9B2HfnwvbvgOw7c+FI+9QsAPzaHmtNqaZMtr4GJYfj2E5b7/dAUNWBtzFpU1+rur1MA3oC/OAfr+9BvaDqX9f6FNT2AFJREREPZpiMEEBoNYtVw4E+yCFywZRl+AO2CohrMGvjWZlm5MAR5XcvXUGyGe1IZ/UBqBoNC3fWdVA0WihaHSARht+rCiQvzMREXV3TGoTIbi0tzYpBdqkFGDY8WGf+W21wWR3cXBGt2HwcdDu2AK/qoHfXhvVzGuNJREBj0e6nbLLjwfvHQ/VaII+s3cwYZ1VL3Gd0QsaI/cvJGpIiEDbLP0jO5iFiIg6NY3RiMRRI5A4akTY+wGPF/a8fNjqEt0+qw0aYxyMOdnwVFQ1uV93S2LZ2zqWmdre6lpYBg+ExmCAeUA/mOqS1kcT2HG9Mrl8OFETGEMSEVFzFEWBYowHjPFARt/Q+0IIwOOsm80dnNWtJmdB2MohvO7olyHXxcXWTlUrnxJXVEBRoWi0dUlrXTBxrT2auGb8SNQQ40eiyDCpTdQKjSUBRksCjIN+66w0/+EJAMHlPAIOG/y22uDLWvfVVhM8ttd/rxaa+EQEypue6dIaRak3U1tRoTGZoZot0Jgt0Jjjfzs21Z2bzKHPNGYLNCnpSDjpVM6YISIiImpnql6H+KGDET90MIAzQu8PuPoyAMEZ3u6KKnjKK+GuqISnogqeigp4KqqC5+WVvx1XVEJrkV+6XI0zBpeQFAIaYxx0SYmhlz4pod5xInQNzg3padCnccY1ERERUXtTFAUwmKAxmIC03r99kNYHQF2iyucJJbiDX13Nnis6g/xqkWiw/LiqqffSQgk7D76Uus+gaiA0OuiM8hNziIiImsOkNlEMFFWFxpIQXFY8AkIICK8HCASCwWhAABCAEBABEQw2hQiOzgy9AsFzANr4RCRNPxNqnJGzYoiOARHwt80oyTaooz1s3LgR//rXv7B27VocOXIETqcTKSkpGDVqFM4991xce+21sMQwO7C9VVZW4vnnn8eyZcuwd+9eeDweZGdnY/Lkybjuuuswffp06bp37tyJE044AT6fL/QzmIiorWiMRpj6GGHqk93qtUIIBHw+9Jp9enB/tEAgGDdC1J2L394XR+PK397XpyQh+9xZ0CbEQ2PQt//DEVG3jiEZPzaP8SMRtSdFUQFdHJQIZ2AL8Vs/Y907dauRN3Me9hkArR5KQnpwxnWUAxw5HJIoet05fgQYQ7aEMWR0FMHvEhERUciRI0eQk5MDAIg78RqohthHFwfcVrg2/wsAcPjwYfTp0yfmOmNht9tx44034q233mrxuszMTLzzzjuYMWPGMWpZ5NauXYsFCxagpKSk2Wuuu+46PP/889DpdFHV7XA4MGXKFGzbtg0AGFASERFRq7p7DMn4sWWMH4mIiCha3T1+BBhDtoYxZPQ4U5uIiKgH8fv9uOCCC/DVV1+F3psxYwamTJkCk8mEgwcP4uOPP0ZFRQVKSkpw1llnYdWqVZg2bVoHtjrcjh07cNZZZ8FutwMAhg4divPOOw/x8fHYvHkzli9fDr/fj1deeQUA8PLLL0dct8vlwgUXXBAKJomIiIh6OsaPLWP8SERERNQYY8iWMYaUw5naRERE9YSNkhx7FRRD7EvfCLcNrq1LAHT8KMkXXngBN910EwAgJSUFS5cubbREjs1mw+LFi7F06VIAQL9+/bBnzx4YDIZj3t6GhBCYMGECfvrpJwDADTfcgOeeew5a7W/j9NasWYM5c+agpqYGAPDll1/izDPPbLXuoqIiXHTRRVi7dm2jexIRERG1pDvHkIwfm8f4kYiIiGR15/gRYAzZEsaQ8rgpLxERUTOE8If2tInpJTrPfjZPPfVU6Pjf//53k3u+WCwWvPPOOxg1ahQAID8/H++///4xa2NLli1bFgomR48ejX/+859hwSQATJs2DUuWLAmd/+lPf2q13pUrV2Ls2LGNgkkiIiKiaHW3GJLxY9MYPxIREVFb6W7xI8AYsjmMIWPDpDYREVEPsXPnThw4cABAcLmcOXPmNHutXq/HDTfcEDr/5ptv2r19kfj3v/8dOr733nuhqk2HMvPmzcOYMWMAABs3bsTevXubvG7Pnj2YO3cuZs2aFdobZ9KkSUhLS2vbhhMRERF1QYwfG2P8SERERNQyxpCNMYZsG0xqExERNaNNRkjWvTqDHTt2hI4nTJjQ6vUDBw4MHRcWFjZ7nRACH3zwAS666CL069cPRqMRSUlJOP7443HHHXdg9+7dsTW8js/nw9dffw0AUFW11eV8zj777NDxRx991OQ1N9xwA5YtWwYAUBQFt9xyC1avXg2z2dwmbSYiIqKepzvFkIwfG2P8SERERG2tO8WPAGPIpjCGbBva1i8hIiKi7uCCCy7AoUOHUFhYCJPJ1Or19YNIi6XpfX3y8/Nx4YUXYtOmTWHvu1wu1NTUYMeOHXj22Wdxzz334JFHHoGiKNLt37dvH6xWKwBgyJAhSE1NbfH6k046KXS8YcOGFq+dNGkS/va3v2HKlCnS7SMiIiLqbhg/No/xIxEREVHTGEM2jzFkbJjUJiIiaoYIBIA2GOEoAoE2aE3stFotcnJykJOTE9H19UcWjhw5stHnubm5mDJlCoqLiwEAKSkpOO+88zB48GA4nU5s2LABX3/9Nfx+Px577DEUFxfjtddek27/vn37QscDBgxo9fq+ffuGjptb+mfatGm46667WlwGiYiIiCga3SmGZPzYGONHIiIiamvdKX4EGEM2hTFk22BSm4iIqBkBjxVKWwSUPkfouKioqNXr+/TpE/M9Y7V27VosX748dD5//vywz/1+PxYuXBgKJi+77DK8+OKLjUZTbtiwAfPnz0dhYSGWLFmC6dOnY/HixVJtqv+9i+R71Lt379Dx0b1qGnr44Yel2kJERETUnJ4aQzJ+JCIiIpLTU+NHgDEkRYdJbSIiomb4937W5nVOnDix1WuEEG1+32iUl5fjiiuuCJ2fd955GDNmTNg1H374YWi5n1mzZuGNN96AqqqN6po0aRI++OADTJ06FUIIPPTQQ1i0aBE0Gk3U7aqpqQkdR7J0kdFobLIsERERUXvqiTEk40ciIiIieT0xfgQYQ1L0Gv/LExERUY9ltVoxZ84c5ObmAgCSkpLwj3/8o9F1r776auj4vvvuazKYPGry5MmYOXMmgOByQT/88INU29xud+i4frDYnPrXeL3eDg/UiYiIiLojxo9EREREFC3GkCSDM7WJiIjqycrKwuHDh9ul7qKiIqSnp0Or7Zy/fqurq3HOOedg/fr1AABVVfHmm2822jvG5/Nh3bp1ofPx48e3WvfUqVOxatUqAMFlhU455ZSo21d/ZKWiKFGXlylDREREFImeGkMyfiQiIiKS01PjR4AxJMnrnP9FExERdRCtVttu+8l0hn1qmlNYWIizzjoL27dvBxAMJl999VWce+65ja7Nz8+H3W4PnTfcw6Y1+fn5Um2sfx+Xy9Xq9U6nM3RsMBik7klEREQUiZ4YQzJ+JCIiIpLXE+NHgDEkxYZJbSIioi7sySefbPWa3//+9y1+vnXrVsyZMwcFBQUAgkH1a6+9hssvv7zJ6ysrK6NvaD1VVVWh41deeaXVvWauv/56JCQkhAWUDoej1fvUDygTExMlWkpERETU/TB+bB7jRyIiIqKmMYZsHmPIY4dJbSIioi7s7rvvbvWalgLKZcuW4dJLLw2NejSZTHj33XebHB15lM/nCx1nZ2fjjjvuiKLFwJAhQ0LHjzzySKujJhcsWICEhAT06tUr9F5hYWGr9zkaIAPBJZ2IiIiIiPFjSxg/EhERETWNMWTzGEMeO0xqExER9VDPPfccbrvtNgQCAQBAeno6Pv30U0yaNKnFcsnJyaFjIUSrozDbysiRI0PHeXl5rV5fP1AdOnRoezSJiIiIqEdh/EhERERE0WIMSW1F7egGEBERkTwhRKuvpjz66KO45ZZbQsHk0KFD8eOPP7YaTAJA3759odUGx8UVFRXhyJEjrZaxWq1wu92N3s/Ly2u1/f379w/dNykpCQCwe/duWK3WFu+5fv360PG4ceNabSMRERFRT8D4sXmMH4mIiIiaxhiyeYwhjx0mtYmIiHqYZ555Bvfdd1/o/KSTTsK6deswaNCgiMqbTCaMHz8+dP7222+3Wubyyy+H0WhEnz598Nprr0Xf6DpHlyTy+XxYsWJFi9cuX748dDxr1izpexIRERH1dIwfiYiIiChajCGprTGpTURE1IP88MMPuPPOO0Pnp59+Or7++mukpqZGVc/ixYtDx0888UTY3jENrVu3DsuWLYMQAoWFhZg4cWL0Da9z8cUXh44feeQReL3eJq/74IMPsH37dgDAqFGjwgJgIiIiIooc40ciIiIiihZjSGoPTGoTERH1EB6PB4sWLYLf7wcADB8+HB999BFMJlPUdV155ZWhUZUVFRU4/fTTsWvXrkbXbd68GRdeeGFoCaIFCxZg1KhR0s8we/ZsTJ48GQCwdetWLF68GC6XK+yaNWvW4JprrgmdP/jgg9L3IyIiIurJGD8SERERUbQYQ1J7UURzC90TERFRt/LSSy/hxhtvDJ1fc801GD58eERlc3JysHDhwrD3tm7diunTp4f2ldFqtZg9ezbGjRsHt9uNrVu34quvvgoFk/3798emTZuQlpYW03Ns374dU6ZMgc1mC7VtwYIFSE5OxubNm/H555+HgubLLrsMb731VtT36N+/P/Lz8wGg2T2BiIiIiLo7xo+RY/xIREREFMQYMnKMIaPDpDYREVEPMXnyZKxfv16q7PTp07F69epG7+/YsQMXXXRRkyMkG977vffeQ58+faTu39CaNWtw4YUXoqSkpNlrFi1ahNdeew06nS7q+hlQEhERETF+jAbjRyIiIqIgxpCRYwwZHSa1iYiIegiLxQK73S5VtrmAEgD8fj/ee+89LF26FJs2bUJpaSkCgQAyMzMxYcIEXHrppTj//POhqm2760l1dTWee+45fPLJJ9i/fz/sdjvS09MxefJkXH/99Zg1a5Z03QwoiYiIiBg/RoPxIxEREVEQY8jIMYaMDpPaRERERERERERERERERETUabXtcAUiIiIiIiIiIiIiIiIiIqI2xKQ2ERERERERERERERERERF1WkxqExERERERERERERERERFRp8WkNhERERERERERERERERERdVpMahMRERERERERERERERERUafFpDYREREREREREREREREREXVaTGoTEREREREREREREREREVGnxaQ2ERERERERERERERERERF1WkxqExERERERERERERERERFRp8WkNhERERERERERERERERERdVpMahMRERERERERERERERERUafFpDYREREREREREREREREREXVaTGoTEREREREREREREREREVGnxaQ2ERERERERERERERERERF1WkxqExERERERERERERERERFRp8WkNhERERERERERERERERERdVpMahMRERERERERERERERERUafFpDYREREREREREREREREREXVaTGoTEREREREREREREREREVGnxaQ2ERERERERERERERERERF1WkxqExERERERERERERERERFRp8WkNhERERERERERERERERERdVpMahMRERERERERERERERERUafFpDYREREREREREREREREREXVaTGoTEREREREREREREREREVGnxaQ2ERERERERERERERERERF1Wkxqd2G//PILrrrqKgwePBhGoxE6nQ4pKSkYPXo0Pv30045uXps5cOAA/vSnP2HGjBno3bs3jEYjzGYz+vbti9mzZ+PJJ59ERUVFm93P7XbjhBNOgKIoUBQF//73v9us7oaEEFi+fDmuv/56jB49GmlpaaF/xxEjRuCqq67CRx99hEAgEHXdq1atwg033IARI0YgKSkJBoMB2dnZOPvss/HCCy+gpqamHZ6oZTabDZ988gl+97vf4dRTT0VOTg4SEhKg0+mQnp6OESNG4PTTT8dDDz2ENWvWwOfzRVX/lVdeGfp3UxQFeXl50m2tX8+pp54qXQ8REVFnwvhRLn6srKwMiw2iea1atSqmZzn11FOl7x1pPPO3v/1Nqs4+ffrE9GyRYPxIRETU8XpKDLlmzRrccMMNOP7440N9af369cMpp5yCv/71r8jNzZWuOz8/H0888QROPfVU9O3bF3FxcUhISMDw4cOxePFirFixAkKINnyacA6HA6+++irmzp2Lvn37wmg0hu6/YMEC/Pe//4XD4ZCqm32QjCGJiI4ZQV3SO++8IwwGgwDQ5Ovbb7/t6CbGrLa2Vlx99dVCVdVmn/Poy2w2i8cff1wEAoGY73vbbbeF1b1kyZLYH6YJmzZtEiNHjmz12QCI4cOHi40bN0ZU74EDB8TJJ5/cap0pKSnixRdfbJdnaygvL0/cdNNNwmKxRPS8R1/Z2dniiSeeEE6nM6L7LF68OKx8bm6udJvr1zN9+nTpeoiIiDoLxo/y8ePKlSujimHqv1auXBnTM02fPl363pHGM5dddplUnb17947p2VrC+JGIiKhz6Akx5KFDh8QZZ5zRapyh0WjEHXfcIWw2W8R1u1wu8b//+78tfg+PvqZNmyYOHjzY5s/30UcfiaysrIhiu6VLl0ZcL/sgGUMSER1rWlCXU1paiuuuuw5utzv0nqqqyMjIgBACVVVVGDt2bAe2MHYVFRWYPn06du7cGfa+TqdDRkYGvF4vysrKQiMY7XY77r33Xvz888/4z3/+A0VRpO775Zdf4plnnom5/a359NNPccEFF8Dr9Ya9Hx8fj+TkZFRVVcFqtYbe3717N04++WS89957mDt3brP1rl+/HrNnz0ZVVVXY+3q9HhkZGaipqQnVW1lZiRtvvBE//vgjXnvtNahq+yzc8OSTT+KBBx5odrRnYmIiEhMTGz0zABQWFuKee+7BkiVLsHTpUgwfPrxd2khERNTdMX6MLX7csmVL6Fiv1yMnJyfidplMpiifJFzv3r0xaNCgqMsdPnwYHo8ndD5hwoRmr63/fKmpqUhKSoroHr169Yq6XZFg/EhERNQ59IQYcs+ePZg5cyYKCgrC3k9ISEBSUhIqKipgt9sBAH6/H3//+9+xZs0arF69GmazucW6HQ4H5s2bhxUrVoS9r9VqkZWVherqathsttD7a9aswcknn4w1a9Zg4MCBbfJ8zz77LG677bawWeCKoiAzMxMajQbFxcXw+/0AgIKCAsyfPx+PP/447rnnnhbrZR8kERF1iI7MqJOct956K2wE14IFC0RFRUVHN6tNzZgxI+wZx44dK5YtWxY2Wq68vFw888wzIjk5OezaP/7xj1L3LCkpEZmZmY1G6rX1TO3du3eLuLi4UP2Koojrr79e7NixI+y6bdu2icsvvzysLUajUWzfvr3JevPz80VGRkbY9UOGDBHvv/9+2Pdt06ZNYvbs2WHX3XnnnW36jEII4fF4xKWXXtro+zls2DDx6KOPis2bNwuv1xtWpra2VixbtkxcffXVQq/Xh5XLyMgQeXl5Ld6ToySJiIiaxvgxSDZ+XLhwYejas846q70fJWZffPFF2Gz1s88+W/h8viavtdvtYdf+97//Pcat/Q3jRyIios6lu8eQTqdTHHfccWHPOH/+fLF169bQNX6/X6xdu1accsopYdfNmzev1frnzJkTVmbKlCli5cqVobjM7/eLNWvWNKr7pJNOapPVKL/99tuwOO/oSkXl5eWha6xWq3j55ZdFSkpKWF/lxx9/3Gy97INkDElE1FGY1O6CHn/88bBfdgcOHOjoJrWp9957L+z5zj33XOFyuZq9fv/+/aJXr16h6w0Gg1Qg0TDIaq+kdsP7vPXWWy1e//zzz4ddf8YZZzR5Xf3OVgDitNNOE7W1tc3W+/vf/z4sWP3+++9jeq6Grr322rD2WCwW8eqrrzbbodpQfn5+oyWMTjvttBaDegaURERETWP8GC7a+HHIkCGha++77752eIK2c+DAAZGUlBRq74ABA0R1dXWz1//www9h37t9+/Ydw9aGY/xIRETUuXT3GPKpp54Ke7677rqr2Wu9Xq8455xzwq5fu3Zts9f/+9//Drt20aJFwuPxNHmtz+cTZ511Vtj1y5cvj/n5Ro8eHarPaDS2uLXh7t27RWJiYliSurkYin2QjCGJiDpK+6z1Qe3K6XSGnffr16+DWtI+Xn755dBxUlIS3nzzTRgMhmavHzRoEF555ZXQudvtxptvvhnVPZ9++mksX74cAJCenh5liyN35MgRfPHFF6HzK6+8EpdddlmLZW666SYsWLAgdL5y5UocPnw47JqDBw/ivffeC5337dsXH374IeLj45ut94knnsC0adMAAEII3H///VE9S0vefPNNvPrqq6HzrKws/PDDD7jmmmug0WgiqqNv375YuXIlpkyZEnrvm2++wX//+982aycREVFPwfgxXDTxY21tLfbv3x86Hz9+fBu0uH34fD5cdtllqK6uBhBc2vK///0vEhMTmy3z008/hY4TExOlljpvC4wfiYiIOp/uHkM+//zzoeNBgwbhsccea/ZarVaL5557Luy9999/v8lr/X4//vSnP4XOJ0+ejDfeeAM6na7J6zUaDV566aWwZbmbqztSa9aswS+//BI6v/vuu1vcjmbYsGG44447Quf79u3Dtm3bGl3HPkgiIupITGp3QaLeHigAIv4F3RXY7XZ8++23ofPLLrssoj39Zs+eHban33fffRfxPbdv3457770XQHDPxRdeeCHyBkfp888/D/v3u/nmmyMqd+2114adN3y+5cuXh9V73333tfp9UxQl9NwA8P333+PgwYMRtacltbW1+P3vfx8612q1eP/99zF69Oio64qLi8Nrr70WFvTX74AmIiKiyDB+bCzS+HHr1q1h37/OnNR+7LHHsH79+tD5H/7wB0ycOLHFMvX30x43blyLe4u3F8aPREREnVN3jiEPHz6MkpKS0PmVV17ZbNL5qP79+yMzMzN0Xn/gY32ff/45Dh06BOC3hHVrMVbfvn1x8803Y8GCBbj++utjjjnXr18fliRv2LfYlEmTJoWdN/V87IMkIqKOxKR2F3HllVdCURQoioKHHnoo7LOj7x99dWW7du2C3+8PnTcMppqjKErYrJLCwsKIyjmdTlxyySVwu90AgIcffrhdOyq3b98eOtZqtRg3blxE5QYPHhx23vD56ndGKoqCefPmRVTvjBkzwv4gqT+LXNZLL72E0tLS0PlNN92Ek08+Wbq+YcOGYe7cuQAAVVVRXV0Nm80Wcztj9eCDDzb6/160rwcffLCjH4OIiLoxxo8tizR+rB9npaWloW/fvpItbV979+7FI488Ejo/7rjj8Mc//rHVcvWfr6MS9owfGT8SEVHn0VNiyJycHFitVuTn5+Orr77C4sWLWy0jhAiLKVJTU5u87sMPPwwdn3XWWTj++OMjatMzzzyD999/Hy+99FLEE2Gac/fdd8PhcOCXX37BsmXLkJOT02qZ2trasPOmno99kMceY0giot9oO7oB1Dk888wzeOaZZ9qkrieeeALz58+XKjtkyBB89dVXKCgoQGFhYVQda5WVlaHjuLi4iMrcdddd2LlzJwBg+vTpuPvuu0MjKdvDrbfeitNPPx0FBQWoqakJGzHZkvrPBjR+vvoBXGpqasRLqJtMJqSmpobKb9y4Meag+Z///GfoWKfT4b777oupPgB44IEHcNlll2H69OlITk6OuT4iIiKKXU+JHxvOZO6sbr755tBATQB47rnnoNfrWyzjcrnw66+/hs476vkYPxIREfUcnSWGBIJJ2b59+0Y8aPHLL7+E3W4PnZ944olNXld/FaGzzz5bun2xMhgMOP744yNOqtdPxuv1+ibLsQ+SiIg6EpPaXURmZmZoJkllZSWqqqpCn7XFvneVlZU4cOBAzPUAjUf1RSMxMRGzZs2KulxBQQF27doVOu/fv3+rZT799NPQUuNJSUl44403Ik4yyxo6dCiGDh0adblVq1aFnTd8vvqzk4xGY1R1118yqLllkyK1ZcsW5OXlhc7PPvtsZGRkxFQnAIwaNQqjRo2KuZ62lJKSEtX/9/x+f9j3BgjOoCIiImovjB9bFmn8WH/P6fHjx6OmpgZvv/02PvvsM2zduhUVFRWwWCzo06cPZs6ciUWLFh3z5PBnn30WFi8uWLAAM2bMaLXcL7/8Ap/PFzofP348du7ciX//+99YvXo19u/fD4fDgbS0NIwYMQKzZ8/G1VdfHdHy7pFi/Ng8xo9ERNQRekoMGa2ff/45bAnv9PR0XH311Y2uKy0txeHDh0Pn9ePCQ4cO4Z133sG6detC1/Tp0wdnnHEGFi5c2CYxkKwnn3wybK/sa665BmlpaY2uYx/ksccYkoioHkFdzgMPPCAAhF7tUWcsryVLlrRJm6Jxxx13hLXh5ZdfbvH6wsJCkZaWFrr+nXfeCX2Wm5vb4c9Tn8PhENnZ2aH2GAwGUVtbG3bN5ZdfHvo8Li5OeDyeiOq22+1Co9GEyvbt2zemtv71r38N+949//zzMdUXrcWLF4fdPzc3V7qu+vVMnz495rbdeOONYXXefvvtMddJREQUKcaPjUUSP9rtdqGqauias846SyQlJbX4LIqiiIULF4rq6upj8hx+v18cd9xxoftrtVqxf//+iMq+8MILoXIajUYsWLCg1X+r5ORk8eKLL7ZZ+xk/No/xIxERdbSeGkMGAgHh9XpFcXGx+Oyzz8SiRYuEVqsN3ddsNovvv/++ybJr1qwJa2NBQYGwWq3i5ptvFoqiNPssFotFPPHEE+3yPA35/X7hdDrF7t27xYsvvijGjh0b1pYpU6YIq9XaZFn2QQYxhiQi6hjcU5sABPfmEEK0yevKK688pm3fsmULnn322dB5YmIiLrjggmavF0Jg8eLFKC8vBwAsWrQIF198cbu3U9Z9990XtsfjRRddhPj4+LBrxowZEzp2uVxYvXp1RHV/++23YSMsq6urY2rrtm3bws6bW4bpWBkwYID0XjNt6amnnsKLL74YOj/77LPx5JNPtuk9iIiIjrWeED/+/PPPCAQCofMvv/wyFC+pqors7GykpqaGxQ5CCLz77ruYOHFi2Cyd9vLuu++GLSF+1VVXRTyTo/7S6n6/Hx988EHo3Gg0IicnByaTKaxMVVUVbrzxRtx0000xtjyI8WPTGD8SEVF31RViyHfffRc6nQ5ZWVk499xz8dZbb4VWt5kyZQq+//57TJs2rcmyDbc1DAQCmDhxIp5//vmwmcoN2Ww23HPPPVi0aFFYX117mD17NoxGI4YPH44bb7wRW7duBRBcwvu2227Dl19+CYvF0mRZ9kE2jTEkEdGxwaQ2dWklJSWYN29e2LKJ/+///T+kpKQ0W+app57CypUrAQSXmXz++efbvZ2y3nnnHfz9738PnRsMBjz88MONrps9e3bY+YMPPthqABwIBPDXv/417D2XyxVDa4GDBw+GnQ8cODCm+rqDTz75BPfcc0/o/LjjjsN///tfaDSaDmwVERFRzxVN/Fg/6XvUySefjE8++QQulwsFBQUoLy9HUVERnn766bA9Bffu3Yu5c+fC4XC0z4MgmED/y1/+EjrX6XT44x//GHH5hs+n1Wpx6623YufOnXA4HDh06BBsNhu2bNmCK6+8MqzT7YUXXmgUS8pg/NgY40ciIqKOlZ+f3+T7Wq0WI0aMaLHPraKiIuz8ggsuCG15M2vWLHzxxReoqKiA0+nEzp078ac//Qlmszl0/X/+8x/cf//9bfAUzWvu+Xr37o309HR4vd5my7IPsvNiDElEPQH31KYuq7y8HLNmzQobAXnyySfjrrvuarbM1q1bcd999wEANBoN3nzzTSQkJLR7W2V89tlnjUac/uMf/0C/fv0aXTtixAjMmTMHn376KQBg3bp1uOaaa/DKK69Ap9M1uj4QCOC2227D2rVrw96v37kro6amJuw8MTExonJ//etf8eqrr0Z8nwsuuACPP/54q9f169cPWq3cj7m22N/pp59+wqWXXhqa4ZWWlobPPvus0/43R0RE1N1FGz/W308bCCa///KXv0BVw8cGZ2Zm4tZbb8X8+fMxa9asUMfl1q1b8dRTT0WVaI7GihUrwmZpL1y4EDk5ORGV9Xq92L59e+g8KSkJy5cvx+TJk8OuUxQFY8eOxZIlSzB79mxccskloY7LP/3pT7jwwgtj2l+T8WM4xo9EREQdLz8/H3q9HhkZGXC5XKHVHn0+H/71r3/hX//6F2644QY899xzjeIGm80Wdr5x40YAwBNPPIG777477LPjjjsODz30EC688EKcccYZKC4uBgA8/vjjuOiiizB27Nh2eb5Dhw4hISEBSUlJKC8vDw3CzMvLw/33348nn3wSb7zxBubMmdOoLPsgm8YYkojo2GBSm7qkoqIinHnmmWEdcdnZ2XjvvfeaDSDsdjsuueQSeDweAMFOyZNPPvmYtDdaS5cuDWsrEFxK8sYbb2y2zN///nf88MMPqKysBAC8/vrr+Omnn3DPPffgtNNOQ0ZGBqqrq7FmzRr83//9H9avXw8AGDlyJHbu3AkgOBM8FrLLI5WXl0cVwJWUlER03erVq9G/f3+pNsW6/M+RI0cwZ86c0B8Ger0eS5cuxYABA2Kql4iIiOTIxI/33HMPZs+ejdzcXKiqit///vct3qNPnz745JNPMGrUqFAc9+STT+Luu+9GXFxc2z1MnfpLqAPAnXfeGVX5L7/8Enl5ecjNzcXMmTMbJbQbuvDCC7Fr1y488MADAIKJ8ccffxwvv/xydA2vh/Hjbxg/EhERdQ733Xcfnn766VCStrCwEP/617/w2GOPwel0AgBeeukleDwevPbaa2Flm5rlfOONNzZKaNc3atQovP322zjttNMABFfjeeSRR8K2hmkrQgj8+uuvoUkzgUAAGzduxCOPPILPPvsMQHBp8AsuuABffPEFZs6c2agO9kE2xhiSiOjYYFKbupzdu3fjrLPOClsqJyMjA6tWrUKvXr2aLXf77bdjz549AICJEyeGOuM6m+effx633npr2P6N559/fqudhYMGDcJHH32E8847LzRacceOHbjiiiuaLfOnP/0JgUAgFFDG2tnacK9vq9Xa4lLw3ZXNZsO5556LoqKi0HsvvPBCs/stERERUfuSjR9HjBiBESNGRHWvIUOGYNGiRaEOztraWnz33Xc488wz5RrfjIKCAnzxxReh88mTJ0c1m0en02HGjBlR3/fOO+/EU089hdraWgAIdX7KYvwYxPiRiIio8+jdu3fYeXZ2Nv74xz9i9uzZOO2000Jx0JIlS7Bw4cKwOK9h31pcXBz+/Oc/t3rPGTNm4NRTTw3tUf3FF1/A4/FAr9fH+DThFEUJWwVSVVWcdNJJ+PTTT3H//ffjkUceARBMzl999dXYt29fozawD7LzYAxJRD0N99SmLmXlypWYPHlyWIdk79698d1337XY4fjhhx+GlpYxm834z3/+I70kTHvx+/24/fbb8bvf/S4sob1w4UK8//77EbX3lFNOwYYNG1qdgd6rVy988skneOihh1BVVRV6v/4+kDL69OkTdl5/ac+WPPnkkxBCNPvKzc2NqV3Hkt/vx8KFC7Ft27bQe3fddReuvvrqDmwVERFRzyUbP8binHPOCTvftGlTm9/j7bffDosZr7rqqja/R1MsFgumT58eOi8qKsKRI0ek62P8yPiRiIioqxg/fnyjlXKeeeaZsPOGyz1PnTo14v62c889N3TscDjw888/yzVU0l/+8pfQbHEgGJd98sknTV7LPsiOxxiSiHqizpXVow7zzDPPNArCZD3xxBOYP39+m9RV37PPPos77rgjbHmZESNG4Msvv0Tfvn2bLXfkyBFcf/31ofOnn34agwcPbvP2xaK6uhoXX3wxvvrqq7D3f/e73+Hpp59utG9jS4YNG4Y1a9bg22+/xccff4ytW7eioqICycnJGDBgAM477zzMnTs3NMqyoKAgVLalmUqRGD16NJYtWxY63759O0444YSY6uxqbr/9dixfvjx0fu655+KJJ57owBYRERG1j+4cP8aq4R7TkS5bGI3//ve/oeO4uDgsXLiwze/RnKaer2HHYqQYPzJ+JCKinqUrxJAtWbRoEe65555QfPf9998jEAiE+u4aziAeNmxYxHUPHTo07PzoHtvH0l133YVvvvkmdL569WpceOGFTV7LPsiOxRiSiHoiJrUJAFBZWRnVfiItOboET1vxer24+eab8corr4S9P336dCxdurTVpWVee+210B4vAPDYY4/hsccea/Z6n88Xdn7vvffiL3/5S+j8P//5DyZNmhTNI7Roz549OO+887B3797Qe4qi4PHHH29xv53WzJgxI6IlJbdu3Ro6bhg8R+vUU08N+16tWrUKl19+eUx1diXPPPMMnnvuudD50T2RohmUQERE1FV05/gxVkajMexcds+/5hQWFmLLli2h8zPOOKPRrKD21JbPx/iR8SMREfUsnTmGjISqqpgwYUJoCxabzYbKykqkpaUBQNjS3gBC+3JHoqkltY+1hn2e9Vc7ag77II89xpBE1FPxpxx1arW1tZg9e3ajDskrrrgCK1asiKhDsv6yjABw4MCBFl8Ng7XS0tKwz51OZ+wPVmft2rWYMmVKWELbZDLhww8/jCmhHamCgoKw5411ROP06dPD/k0++uijDgnAO8Jnn32GO++8M3Senp6OTz/9tNEfJERERNS+2iJ+rM/lcuHQoUNRdZqWl5eHnR/t5Gwrn3/+edj5+eefL11XdXU19u/fH1WZtnw+xo+MH4mIiDqKw+HAzp07w2a7RsJisYSd1+97HD16NBRFCZ0XFhZGXO/R/amPSkxMjKpdDZWWlmL9+vVhyeTWNIxDGvarymIfZNthDElEPRmT2gQAePDBB1vcTySa15VXXtkmbaqoqMBpp52GVatWhd5TFAWPPvooXn/99dDSNV3Vl19+iVmzZoXNIu/duzfWrFmDefPmRVWXz+fDgQMHsG7dOnz88cdhdbbk448/DjuPZFRlS7RaLW644YbQudVqxd///veY6uwKtm3bhksuuSQ0S0mv1+Ojjz5C//79O7ZhRERE7ai7x4+rVq1CQkICjEYj+vXrhxdffDHisps3bw47HzNmTMRlI/Htt9+GnZ955plR13HttddCr9cjOTkZQ4YMiWqJ9PrPl5iYGFPMw/iR8SMREfUsnSWGfOSRR2A2mzFq1Cicc845UQ3yq7+MtkajCRvgl5CQgIEDB4bO169fDyFERPXu3Lkz7DyW2cxDhw5FZmYmJk+ejFtuuSXickeOHAk7z8rKCjtnH2THYgxJRD0dk9rUKdXW1mLWrFn46aefQu8ZjUa8//77+H//7/9FVVe0wXJubm5Y+SVLloR9fuqpp8b8fN988w3OP//8sFnfJ5xwAjZs2IBx48ZFXV9JSQkGDx6MqVOnYt68eY1m7zTnX//6V+h42LBhGDFiRNT3buj2229HUlJS6PzRRx8NWx5TRluNCm0PhYWFOPfcc2Gz2ULvvfzyy5g6dWoHtoqIiKjnacv4EQCGDBkSNtsj0vgKCN/vWqvVYvr06VHfvyVr164NHffr1w+9e/eOuo6cnBx4vd7QeaQzlHbt2oWff/45dD5jxoyYlzlk/Mj4kYiI6FhrmDD+8MMPIypXWVmJDRs2hM4nTpzYKBaqv4rO4cOHsW7duojqrh9v9urVC0OGDImoXFPql12/fn1YIr4lDWPCk046KeycfZAdhzEkERGT2tRJXXXVVWFBSHJyMlatWoULLrigA1vVNvLz87FgwQK43e7QezNnzsT3338v1SEJBGd45+TkhM7feeedVsu8/fbbYcsPRTNqsyUZGRn429/+Fjp3u90455xz8Msvv0jVd+jQISxatKhN2tbW7HY75syZEzaK9d5778XixYs7sFVEREQ9U1vHj/369QtbFnHNmjVhHZjNef/99/Hjjz+Gzi+66KI2XX68sLAQhw8fDp3LdmI1XLL873//e6t7YwshcPfdd4fNNrrpppuk7l8f40fGj0RERMfaWWedBZPJFDp/9tlnYbfbWy334IMPwuPxhM4vuuiiRtc0nEHeMH5qyjfffBOW/L744ovDljGP1vz580PHfr8fTz75ZKtlampq8Pjjj4fODQYD5s6dG3YN+yA7BmNIIqIgJrWp03nhhRewdOnS0LnZbMaKFSswZcqUDmxV2/D7/bjkkktQVVUVeu+UU07BZ599FvO+J/WDri+++AKfffZZs9f++OOPuP7660PngwcPxjXXXBPT/eu76qqrwgLU4uJiTJkyBX//+9/DZgS1xGaz4dFHH8WoUaPCOoYBxBTUt5VAIIBLL700rPN84cKFeOyxxzqwVURERD1Te8WPt99+e+hYCIHLL7+8xWW6165di2uvvTZ0bjQa8cADD8TUhoa2bdsWdi77jGPGjAlbgWj79u1he/M1dDShXX82zsyZM3HGGWdI3b8hxo9ERER0LMXHx+O6664LnRcUFOCGG25ocabuCy+8gGeffTZ03rdvX9x4442Nrhs1alTY1oI//vgjbr/99mYT2wcOHMAVV1wROjcajWFxqIyLL744bPLMc8891+LKPFarFQsWLAhLmt52223IzMxsdC37II8txpBERPUI6nIeeOABASD06k5qa2tFSkpK2PO98847x7QNubm5YfdfsmRJ1GX69evX5HVvvvlm2HW9e/cW5eXlbdLusrKysO+d0WgUTz31lKipqQldc+TIEXHfffcJnU4Xuk6v14s1a9a0SRvq8/v94o477gh7XgCiV69e4g9/+INYs2aNsNvtYWWsVqtYuXKluPnmm0VSUlKjsgDEzJkzRV5eXpP3XLx4cdi1ubm50u2vX8/06dMbfd7w2aZPny5cLpf0/YiIiNoT40c5gUBAzJgxI6zu7Oxs8frrrwubzRa6Li8vT/zhD38QBoMh7NoXXnih2bojjR8bevLJJ8PKrVq1Svr5fv31V2EymcLqO/vss8X69etFIBAQQgRjuu+++67R9yE9PV3k5+dL37spjB+JiIg6l+4cQwohRE1NjRgwYEDYM5566qli7dq1wu/3CyGC8eDmzZvFRRddFHadwWAQ3333XbN1l5SUiPT09EYxyXfffReq2263i1dffbXRdU888USz9UYTQ37yySdCUZTQtVqtVvzhD38QR44cCV1js9nEO++8I4YMGRJW74knnhgW79bHPkjGkEREHUURopW1T6jTefDBB/HQQw+FzrvTP+Ff//rXsD0PVVXFgAEDoq6nT58+WL16tVQb8vLywu65ZMmSRssGtVamX79+yMvLa3TdiBEjsHv37tB5YmKi1HKUt956K2699dZG7y9fvhznn39+2EhEjUaDXr16wW63h80QB4LLCL355pu48MILo25DpN577z3cfvvtKCoqavSZoihIT0+HyWSCw+FAaWlps/UMHDgQjz76KBYuXNjsNVdeeSVef/310Hlubi769+8v1e76IzGnT58e9t/Tpk2bMHHixLDrJ0+eDFVVYbPZ4PF44PV6I/r/5nfffSe97DwREVGkGD+2rrn4sbq6GjNnzmy0P59Wq0VWVhacTicqKioalXviiSdw9913N3u/SOPHhm699dawGUJ79+6Nab/FFStWYO7cuXC5XGHvx8fHIzk5GWVlZXA6nWGfZWRk4JtvvsHIkSOl79sSxo8tY/xIRETHSneOIY/av38/pk+fjsLCwrD3LRYLUlNTUVFREbaHMRBcFeitt95qtJ1LQ7/88gvOPPNMFBcXh71vMBiQnp6OkpKSRrOJr7766rD9pxuKNoZ8/vnnccsttzT6t8vMzIRWq0VJSQl8Pl/YZ+PGjcPy5cubnKV9FPsgGUMSEXUEbUc3gKi+Dz74IOw8EAjgwIEDUdfTMBjrDHbs2BGW0AaCe9XU1NREXVdlZWWT78+ePRvLly/HFVdcEQrg/H5/2NJBR40ePRqvvPJKo8CorV100UWYPXs2nn/+ebzwwgvIz88PfSaEaDGIBIBp06bhxhtvxMKFC6HRaNq1rZFqao+lhssTRSrSpZCIiIioae0dPyYlJWHt2rX4/e9/j5deeim077TP52syxurfvz+efvppnHfeeVG3IRINO0X79OkTU32zZs3Cxo0bsXjx4rC9Dq1WK6xWa6Pr586di2eeeQZ9+/aN6b4tYfzYMsaPREREbWfw4MHYunUrrrvuOixbtiz0vs1ma5TMBoJbv7z88ssRDe4bPXo01q9fj1tvvTWsbrfb3SiONJlM+POf/9zidjAybr75ZgwdOhTXXnstDh06FHq/qS11DAYDbrzxRvz1r39FXFxci/WyD/LYYAxJRBSOSW3qVBomfbuTY/Vsp59+Ovbt24fXX38dy5Ytw7Zt21BRUQG9Xo/s7GxMnDgRF110Ec4555xjFqBZLBbce++9uPvuu7FhwwZ89dVX+Omnn7B7926Ul5fDZrPBZDIhPT0dGRkZoT0eTz311BZHhRIREREdixjLaDTi+eefx913340lS5Zg9erV2LNnD6qqqmA0GpGZmYmxY8fi/PPPx9y5c2E0GtutLfU7V9PT09vkXscffzy2bNmCr776Ch988AHWrVuHwsJC2O12pKamIjs7GzNnzsSCBQvavTPyKMaPREREdKxkZGTgk08+wZYtW/DGG2/g+++/R35+Pmpra5GYmIjevXvjlFNOwfz58zFjxoyo6u7Xrx8++eQTrF+/Hu+99x6++eYbFBQUoLq6GvHx8Rg5ciTOOussXHvtte0Ww5xxxhnYv38/3nvvPXz66afYuHEjSktL4fP5kJaWhmHDhuH000/HFVdcEdVMXvZBEhHRscblx4mIiIiIiIiIiIiIiIiIqNNSO7oBREREREREREREREREREREzWFSm4iIiIiIiIiIiIiIiIiIOi0mtYmIiIiIiIiIiIiIiIiIqNNiUpuIiIiIiIiIiIiIiIiIiDotJrWJiIi6kY0bN+KGG27AyJEjkZiYCL1ej6ysLJx++un4xz/+AZvN1tFNbFFlZSUefvhhTJgwAYmJiTAajRg0aBAWLVqE7777Lqa6d+7cCZ1OB0VR2qi1RERERF0f48fmMX4kIiIiahpjyOYxhmw/ihBCdHQjiIiIKDZ2ux033ngj3nrrrRavy8zMxDvvvIMZM2Yco5ZFbu3atViwYAFKSkqavea6667D888/D51OF1XdDocDU6ZMwbZt26bktsYAAQAASURBVAAADH+IiIiop2P82DLGj0RERESNMYZsGWPI9sWkNhERURfn9/txzjnn4Kuvvgq9N2PGDEyZMgUmkwkHDx7Exx9/jIqKCgCAXq/HqlWrMG3atI5qciM7duzASSedBLvdDgAYOnQozjvvPMTHx2Pz5s1Yvnw5/H4/gGBQ+fLLL0dct8vlwrx58/Dll1+G3mP4Q0RERD0Z48eWMX4kIiIiaowxZMsYQ7Y/JrWJiIi6uBdeeAE33XQTACAlJQVLly7F9OnTw66x2WxYvHgxli5dCgDo168f9uzZA4PBcMzb25AQAhMmTMBPP/0EALjhhhvw3HPPQavVhq5Zs2YN5syZg5qaGgDAl19+iTPPPLPVuouKinDRRRdh7dq1je5JRERE1FMxfmwe40ciIiKipjGGbB5jyGODSW0iIqIubvDgwThw4AAAYNmyZZgzZ06T13k8HowfPx47duwAALz55ptYtGjRMWtncz755BOcf/75AIDRo0dj69atUFW10XUfffQR5s+fDwCYOHEiNmzY0GK9K1euxOWXX97kUkIMf4iIiKgnY/zYNMaPRERERM1jDNk0xpDHTuN/LSIiIuoydu7cGQomhw4d2mwwCQSX/LnhhhtC59988027ty8S//73v0PH9957b5PBJADMmzcPY8aMAQBs3LgRe/fubfK6PXv2YO7cuZg1a1YomJw0aRLS0tLatuFEREREXRDjx8YYPxIRERG1jDFkY4whjz0mtYmIiLqwoyMeAWDChAmtXj9w4MDQcWFhYbPXCSHwwQcf4KKLLkK/fv1gNBqRlJSE448/HnfccQd2794dW8Pr+Hw+fP311wAAVVVbXc7n7LPPDh1/9NFHTV5zww03YNmyZQAARVFwyy23YPXq1TCbzW3SZiIiIqKujPFjY4wfiYiIiFrGGLIxxpDHnrb1S4iIiKizuuCCC3Do0CEUFhbCZDK1en39INJisTR5TX5+Pi688EJs2rQp7H2Xy4Wamhrs2LEDzz77LO655x488sgjUBRFuv379u2D1WoFAAwZMgSpqaktXn/SSSeFjltb+mfSpEn429/+hilTpki3j4iIiKi7YfzYPMaPRERERE1jDNk8xpDHDpPaREREXZhWq0VOTg5ycnIiur7+yMKRI0c2+jw3NxdTpkxBcXExACAlJQXnnXceBg8eDKfTiQ0bNuDrr7+G3+/HY489huLiYrz22mvS7d+3b1/oeMCAAa1e37dv39Bxc0v/TJs2DXfddVeLyyARERER9VSMHxtj/EhERETUMsaQjTGGPPaY1CYiIqrH5/OFgqm2VlRUhPT0dGi1Lf/67dOnT7vcf+3atVi+fHnofP78+WGf+/1+LFy4MPT8l112GV588cVGoyk3bNiA+fPno7CwEEuWLMH06dOxePFiqTYVFRWFjiN57t69e4eOj+5V09DDDz8s1RYiIiIiWd01hmT8SERERNQ+umv8CDCGpPbDpDYREVE9xcXFEY84bC9CiDavs7y8HFdccUXo/LzzzsOYMWPCrvnwww9Dy/3MmjULb7zxBlRVbVTXpEmT8MEHH2Dq1KkQQuChhx7CokWLoNFoom5XTU1N6DiSpYuMRmOTZYmIiIg6UneMIRk/EhEREbWf7hg/AowhqX01/q+EiIiIuhWr1Yo5c+YgNzcXAJCUlIR//OMfja579dVXQ8f33Xdfk8HkUZMnT8bMmTMBBJcL+uGHH6Ta5na7Q8f1g8Xm1L/G6/W2S/BNRERE1NMxfiQiIiKiaDGGpPbGmdpERETNmIcsmBD9yL+GHPDjIwSX09m4cSN69eoVc52Rqq6uxjnnnIP169cDAFRVxZtvvtlo7xifz4d169aFzsePH99q3VOnTsWqVasABJcVOuWUU6JuX/2RlYqiRF1epgwRERFRe+rqMSTjRyIiIqJjq6vHjwBjSDo2mNQmIiJqRjw0sCix/6rU1BvI16tXr3bbr6ahwsJCnHXWWdi+fTuAYDD56quv4txzz210bX5+Pux2e+i84R42rcnPz5dqY/37uFyuVq93Op2hY4PBIHVPIiIiovbUlWNIxo9EREREx15Xjh8BxpB07DCpTURE1AyNokDTBqPwNFCAY7xCzdatWzFnzhwUFBQAALRaLV577TVcfvnlTV5fWVkZ0/2qqqpCx6+88kqre81cf/31SEhICAsoHQ5Hq/epH1AmJiZKtJSIiIiofXXVGJLxIxEREVHH6KrxI8AYko4tJrWJiIi6mWXLluHSSy8NjXo0mUx49913mxwdeZTP5wsdZ2dn44477ojqnkOGDAkdP/LII62OmlywYAESEhLClkEqLCxs9T5HA2QAyMrKiqqNRERERNQ0xo9EREREFC3GkHSsMalNRETUDFUBNG2wXYoKHLNRks899xxuu+02BAIBAEB6ejo+/fRTTJo0qcVyycnJoWMhBH7/+9+3azuPGjlyZOg4Ly+v1evrB6pDhw5tjyYRERERxaSrxZCMH4mIiIg6VleLHwHGkNQx1I5uABEREbWNRx99FLfccksomBw6dCh+/PHHVoNJAOjbty+02uBYt6KiIhw5cqTVMlarFW63u9H7eXl5EEK0+Orfv3/ovklJSQCA3bt3w2q1tnjP9evXh47HjRvXahuJiIiIqHmMH4mIiIgoWowhqaMwqU1ERNSMo/vZtMWrvT3zzDO47777QucnnXQS1q1bh0GDBkVU3mQyYfz48aHzt99+u9Uyl19+OYxGI/r06YPXXnst+kbXObokkc/nw4oVK1q8dvny5aHjWbNmSd+TiIiIqL10lRiS8SMRERFR59BV4keAMSR1LCa1iYiImqFR2u7Vnn744QfceeedofPTTz8dX3/9NVJTU6OqZ/HixaHjJ554ImzvmIbWrVuHZcuWQQiBwsJCTJw4MfqG17n44otDx4888gi8Xm+T133wwQfYvn07AGDUqFFhATARERFRZ9EVYkjGj0RERESdR1eIHwHGkNTxmNQmIiLqwjweDxYtWgS/3w8AGD58OD766COYTKao67ryyitDoyorKipw+umnY9euXY2u27x5My688EIIEdykZ8GCBRg1apT0M8yePRuTJ08GAGzduhWLFy+Gy+UKu2bNmjW45pprQucPPvig9P2IiIiIejLGj0REREQULcaQ1BloO7oBRD3J0R++jd5vdNL0daGBVooC5RgsJULU06lttGyPivb7/+uSJUuQl5cXOp86dSpefPHFiMrm5ORg4cKFoXOj0Yj3338f06dPh9Vqxe7duzF69GjMnj0b48aNg9vtxtatW/HVV1+Ffp71798f//znP2N6BkVR8NJLL2HKlCmw2Wx45513sHbtWixYsADJycnYvHkzPv/881DQfNlll+GCCy6I6Z5ERF2FEAI+fwAen0BAHH0BqPsaEAKi7uvRY1HvsxSLAW6vHwlGHQw6TUc/DlGP0NljSMaPRETdnxACLq8fPr8Iiw1/ixXr3gvUvYffzjWqgiSzHkIIWOJ0UFX2QRK1t84ePwKMIalzUERzWTYiapUQAn4h4A808ap73xd6LwCzXosEgwp/ICB1PxM8CNhrgieKCqgqFEUNP1aD54qqAoom9L5QNVCYDCdq1ZEjR5CTkwMAuFXfFwlK7OO/aoUPz3gOAQAOHz6MPn36xFznUZMnT8b69eulyk6fPh2rV69u9P6OHTtw0UUXNTlCsuG933vvvTZ7njVr1uDCCy9ESUlJs9csWrQIr732GnQ6XdT19+/fH/n5+QCaH2RERHQsOD0+VNo9qLR5UGV3o9LuQZXNgyq7p+59d+i4yu7BfXNG4g9vb5W61/3zj8fD72+DEECcToNEsw6JJj2STMGviWY9Ek06JNU7TjTpkWTWIT0hDqnxBsaPRBHoSjEk48fIMX4kos7CHxCotntQYXOjyhb8WmkNxpH1v1bUxZFnj+2NzXvLsOtITdT36pVsxNyJffHSir1QFdTFjEdjyHrxo1kfihsTjsaXZj36pJqg06iMIYla0ZXiR4AxZDQYQ7YfztQmaoXHF4Dd44Pd44fd40eaWQebyxdKXEfDF4jxB1j9ZLgIAP5A2JzulmrXGOMhivdA6IyAPg6K3gjojIDeCOjioGj444CoKzq6v0tbGjVqFLZv34733nsPS5cuxaZNm1BaWopAIIDMzExMmDABl156Kc4//3yoatvtZDJt2jTs3r0bzz33HD755BPs378fdrsd6enpmDx5Mq6//nrMmjWrze5HRNRePL4ADlc6kFdhR165HTa3D+kmPd5cm4squwcurz+q+uxun3RbnB4fjoasLq8frmo/SqpdLReqc/bY3qhxeHC4wo7+6Rb0z7BgQEbwa/8MC3olGTlzh6gLYvxIRNT5CCFQYfcgr8yOg2U25JbZcerwDDz8/i+otLlR7fAgmm7ISqsbsjnlgAgm0IPHQFXdQEvAHlH5J686Ef/32S70SzejX1rjl8nAPkiirogxJHUGnKlNhGDg6PYF6hLXvyWw7R4fvA0S0f2TjVCOLvsYJb1WRbpJKz1T2+h3QLgiCyAb0ugNQMn+Fi7Q/Zbg1h9Ndtedt+EvDKLOrv4oyTsM/dpslOTf3cHReW09SpKIiDqOy+tHfoUdueV25JU76r7aUVDlDBv8qFEVXHVSPzy7Yo/UfW6aOQR//6zlkevNlj1jKJ77YrdU2YtP7o9vdxQ3mwTXa1X0SzeHEt6hV7qZM7ypx2EMSUREkRBCoKTWhYNl9t8S2OV25JXZUOsKH8h402mD8bePd0pNkhk/MAU2uwc7DlVHXTYzMQ7jBqXiy62FUZcFgP+96Hj844u9zX6eHm8IJrgbJL37pJig07IPknoOxo9E0eOwKOpx3D4/AgGBErsHdnddAtvrhz/CANHu8SPRoEXAH31iOtJ7NEsyGQ4AwuNueUcNvxdwegFnbaMZ3yJzCHx5O6AmZUBNyoQSn8pENxEREfUYASFQ5fBiX4kVG3MrkV8eTGQX17haXCnnKH9AIJbQKZaZ2naPfFmzQdvirG6PL4B9RVbsK7I2+mzsgBTMmZCDoionxg5Ixpj+KUiLN0i3hYiIiKirqXV54fT48cUvRcgNJa/tcEa4ak9+hR1JZj3Kre6o711l88AguaJOQAjU2L1SZVUFKKluub1lVjfKrG5szq1sVPb/LhuHdfmVGJWdgFHZiRiYboaWfZBERFSHSW3q9pxeP4pqXSiyulFkdaHC4cUpA1JQUBPZsosN2T1+pBh1iHLVSADBDs2YFkcQ8klt+Jzyt3XbESjJRaAkN/iGqoGSmA41KTOY6E7MgKKPk28bUSelAGiLP504T42IqGvx+QM4UG7H9qJa7Ciqxa9FtUgy6TEi1Yz3Nh2WqtPpk4/jbLEsP+6WCFrrBGIYkJmRGIdPfzqC7YeqsWR18L2cVBPGDkjB2P7JOKF/CgZlxUPD5cupG2IMSUTUM1XYPfi1OBg/7iyqRX6VE7dMG4jnv94nVd/BMjtS4w1SSe0Kmxu9E+X66gICqHF6pMommvQ4XOmQv6/bi693l+Lr3aUAAKNOxYhewQT3qOwEHNcrAfFx0e9vS9TZMX4kigyT2tTt2Nw+FFnrkti1LlS7GncCFlvdiNOqcEl0Ljq8fsTS9xbLXG0hO1NbUaF4YkhqW6vC3wj4IaqK4a8qxtFuUsWcGJzFXZfoVkyJXHKSujyNokDTBv8daxhSEhF1ah5fAHtKrdhRl8TeVWxtFCfaPE5M758ifQ9rEzFpxGWdcjNlAMARw0ztaPf+rq9Pqgnf7SoNe+9whQOHKxxYtvkIAMASp8WYfsEE99gByRjdNxnmOP6JSl0fY0giou5PCIESqxs7i4MJ7B1FVhTVNp5Ak1flQEKcttHS4pHIK7NjUJJcYrrG4Y0hqS0/UzvRrEN+udzWiVqNgqIGk5Cc3gC2HKrGlrpl1BUA/VNNGNU7MZTo7p1kZB8kdXmMH4kiwx4D6tKEEKh1+8JmYlsjmI1SbHVjeLoFLp/cqEOZvWyO8gcgnxSXnamtqoBsUlujQ6CmrNXLhL0GfnsNUFC3Z47OADUxA5pBYwG/H2pyJgNMIiIi6hScXj92Ff+WxN5TaoXX33p8F4ghlKmwy8WdQKwzteXL2mJIxGs1aqsxs83lww97yvDDnmCsqSrA0OwEnHVCNmYe3wtZiXEwGfgnKxEREXU8IQSO1Liws+hoErsW5RHEdzuLrBiQbsG2w9VR39Pp9cNslJ+VHJBcLVIIoNohF7smGPU4KDlTu0+KCb8WN97Wpj4BILfCgdwKBz79pQgAkGTUYVR2Aq6dNgBGnRZZCVxNkoiou2IPAXU5Hl8Au0qtiDdo8eOhKtg80c8gqXX7oIlhPY9IOj2bExBCPqktvae2Ip8Q1xsRqN4TfTmvG4Hyw0BCJhzfvAs1Phm6/sdB128ENFn9oKgaufYQHUMaAJo2GIuhiWWJBiIiipkQAsVWNw6U21Fuc+PVH/MgM0axwiE/Y7rhrJNoxDJTO9I9G5tSFUMi3uqKvs0BAewuqMXxOUn4w7s/I7/cjkmDUnHqiExMH5GBVAv35KaugTEkEVH34PYFcKDCDrNeg/s/+xXVEjFZboUd4zLipZLaAKCJoQNTthtRCAG75OBGg06VirOB4FY1u0tbTmo3pdrpxdoDFThjVBbe/bkQGRYDxmQnYEx2IgakmqBykg11AYwfiSLDpDZ1CS6vH7tKrNhWWIvdpVZ4/AInZCcgwaSXSmoDkFp6/Ci3PwC9ZGY6hl2xIbt4uRLLoueKCkjOaIfBBF/BAQBAwFoF9/Yf4N7+AxSDCdp+w6HrNwK6PkOg6PTy7SMiIiJqghACBTUubCuswc8FtSi1BfciPG9kpnRH275yG5JNOlRJJLcPVTpg1GvglIhdrbHM1JaMlQGgLIZE/BHJGToA0C/dgk+2FQIA1uwpw5o9ZfjLJ8DonCScOiITp47IQP90i3T9RERERM1xef3YV27HrlIrDlY64A8InJCdiIQ4rVRSWwCwxDDb2i852zqWsv4YVqhUY9izMd6og7dC7t59U0zYXx6MP0ttbqzcW4aVe8sQb9BidHYCxvRKxLBMC/SxzHIiIqIOx6Q2dVoOjx87i2vxS1Et9pTaGi1f+GuJDXNGZaGkroMyWjJ72Rzl9gWg18vNNA4EhPT64wKQ2xVDeoY3EPDKz9BRE9Ph3r6p0fvC7YB37xZ4924BNFpoew+um8U9HKqRHZTUeagK2mQ/mxj+piMioigIIZBf5cS2whpsK6xtcslvt19AgdxQwbwKB/qkmFDlqIm6rMcXQKJJJ5fUjmGmtiuGpHZRlVxiOtGkw07J2UgAYHM3fl4hgG2HqrHtUDWe/moPBqSbMX1EJmaMyMCoPkkxdaAStTXGkEREXYvD48fecht2l1qRW+loNAByb5kNx2XF41CV3NZ+7hgS006vfJ+ebHI6EENSO4aiMU0EOq5XPHYW1zZ63+r24YfcSvyQWwm9RsVxWfEYk52AUVkJsHCbG+pEGD8SRYY/ualTsbl92FFci18Ka7G3zNZiIOTxB+COYbZ1hcODVJPcDGGXz4942aR2RywBIuQ7M4Uj+mV/QrRxEM5Wyvt98B3aDd+h3XBCgSazbzDB3X8ENIlp8vcmagMapY2W/mFASUTUbgJCILfCEUpktzaDZneJFQNSTThYEX3CVgBIMsuvMGOK0wGIfvazNYbBmLHM1K51yt23V7IR+0vtUmVTLPqIlufMLbMjt+wg/v39QaRZDDhleAZOPS4DEwemwqDjNjfUsRhDEhF1fja3D3vKbNhdakN+tQMt5Z0dXj8GZcZL36vMLjchBwBqJLZ0OUo2qR3L7HC3Tz72rI5hdaL0+DgcsjVOatfn8Qfwc0ENfi6ogaoAg9PMGJ2diDHZCUgzc5sb6liMH4kiw6Q2dbhalxfbi4KJ7AMV9qiSvkeqndIzbapdPmSYDVKBmtMbgBACisToqeD9jvFvF598AByorZAu66+tjLKEgL8kH/6SfHh2bYQycDzg88E8dgpUo0m6HURERNS9BITA/nI7fi6owfbCWtRG0QGWX+XEsAyLVFIbQExD37WSyx16YhjI6ZLcU1uvVaXva4xh1svInCRsyo8uhiy3ubF082Es3XwYD11wPHaX2jFnTC8Mz4qXiteJiIioe6p1ebGnzIZdpTYcro5u1nUss4jzKp0w6TVwSAw2LLPKJ8QbrnoZqVgm5Njd8kntghq5mfAA4Imy0QEB7C2zY2+ZHRvyqzBvdC9oFAUDUkzQcYlyIqJOi0lt6hD+gMBPh6vwY24lhmfF46s9ZVL17C6xYmxOEioll2QMSI48FAgGhjqJoU8dMlPbL7+EuLBWyRVUNfAeOSB9X22/4aj65lP4aypR/eX7MB0/AZYJ06HvN5idk3TMaBSlTZb+aYs6iIgouHzgzhIrUow6vLQuT7qjzmyQ39ewKpbZMjHMepEdySmb1I7Ta6ST2t4YkvAWo1Y6XtZrVdi8fizbVohl2woxOMOC88ZkY9bITC4vSccUY0gios4jIATKbB5UOjwoqHVhwyG5fq78Kgd6JRhQVBt9ktkvBLJTTdhfFP1qiA6PH4qCFmeSN0c2VhYxxKzVDrk+yDidBrVun1SfX0KcFodiSIiP7pWAbYW1cPsD2HSkGgNSTBiaZkaqSc8+SDpmGD8SRYZ/2dMxVeXwYOWeUny5qwRltmCQM7JXgnR9Ll8gpn0iXL4ADFq50XfegIDMyoax7EsjzSs3qlOoGsjNgwcUcxICB/dKlQ3e2wB/TXCWjvB6YN/yA+xbfoAuIxvmidNhHjsFGhP33yYiIuruhBA4XOPEjhIrDlU5IQBkxxswPMOCHcVy26RUxbBHdVFt9MuHH+X2yyd7ZVcnkt1TWxtDkF1hk59RVNnEPuiRmjgwFV/tLAmd7y+14W8r9+L5b/dj5vAMzBmTjVG9E9g5SURE1AO4fH4U1LhQUOOCpy4G65dslE5q2zx+DM+Ml0pqA0C8SX5QpapR4ZcYNOgLyMWesYzDtLl90Gij7zBNsejhkIzRBqZbUBPDdj1p8XpUlAW3zvEFBPaV27Gv3I4Uow5D0i0YmGKCnrO3iYg6BSa1qd0JIfBrsRXLfy3GutzKRqME1+dVIsNiQKlk51el3QNIBj21bh/StXL7IsqOdvR3QE5bEZIdqJLBLwCIWDpt40xw7NnZ5Gfe0kJUf/ZOcPb2qBNhmTAdhgHD2DlJ7UJto/1sYhl8Q0TUU7m8fuwus2FnibXR8uKFVjeOiyGpfbjaiT5JRhyJctlJILjqjsWohU1iv+naGDrbFEWRmjXjlpypHUvIWlrrlorNtBoFvxa2vBdiS4ZmJ+DdLQWN3nf7Ali+oxjLdxRjQJoZc8b0wlkjs5BglO9cJmoJY0gioo4hhECV04vD1U6U2z2N4hm3LwCLQQOb5BLZiSa5PkQA8MWwFaFWK5nUluyEFLFsnSjZP6fTqdLZdEucFpWSAzlTzXpUO5oe8Frp9GLDoSr8dKQa/ZNNGJJmRrqZs7epfTB+JIoMk9rUbhweP1bvL8PyncXIr2q+w3DToSpcdmKOdFI7r9KJnBSjVEBhdfuQYtRBI/HTXn5fmg7IaksmtQNu+aV7fFXl0mU1vQbCufrrVm7gg+Pn9XD8vB7a9CxYJtTN3rbIz/wnaohL/xARHVtCCJTaPNhRUosDFfYWBwP6Efz5KrOktwCQkyyX1AaAlHiDVFLb6xfyU64lf5XILhIUyxLisnJSzSiwys2EVxSgzN763xO55XY88/V+vLj6IGYMT8ecMdkY0yeRnZPUphhDEhEdW15/AEW1LhypccHRwoC+Epsbw9PjsflItdR9rB75AYqxbGFjNGjhlhgc6ZWccNIBOW24/QKQnAztjCFuHZ5hQUkrKwX5AgL7K+zYX2FHUpwOQ9PNGJhill79k6gpjB+JIsOkNrW5/EoHlv9ajG/3lcHpbT2oCAiEliKX4fT6oSqKVN+gQHAJcrM++mVxPBGOdlQAaFQl9FIAaFU12HHW4u8Ypd7/AsLvgxpnCSaoAwFABCDqHbdIMqkt7PIzZXwlh+XLurxRzRL3lRWjevm7qP7qA5hGjkfSORdDE5/EzkkiIqIuwusPYH+FHTtKrCiPcPnpg5V2DMkwY3eJTe6mMcQJSgxD6FVVQSCCODLRqEOyWY8Uix5GvRZerx8Z8XFQFQWqAih1cWXoXFGgKMHzo199gQAKKhyIj9Ohxu5BjcODaocXNQ4PauzeFvfbdkrOdjEbtHBLZtJ1MXQMjuydiHUHKyO+3uMP4KudJfhqZwn6pphw9dT+mDE8Q2qwKxEREXWMWpcXR2pcKLa6IhrIJwSQYZGfbW33+NE7KQ4F1dEPwvMFBHQ6DbwSq+hoIow99VoVqRYDUix6pFgMsDm96JdmglIXLwbjxN9ixYYx5NE4MrfEhswkI6odnroY0otquwe1zuBxS2NKFclseK3HB31c9KkKjarA7gtAlYzhEo06VEaxNVG1y4uNh6vx05Ea9Es2YmJOEgwSy60TEZEcJrWpzWzIq8RH2wuxsyj6ZSB/zKvEsKx4VDWz3EtrXB4/DBKJaSDYoWVGdGWDiWrAqFWh1ahhSevgSw2OrlJ/CxBjpwNgbPITIUQwMhcBiIA/lPgWIgC4HYAlBfC6AI8T8Ef+PRYeyT0jtQYgINcRCo0O9l075Mr6/XAd3I2qNd+gdsMPyJh/CSxjTmRym6Rp2mjpn7aog3qO6upqrFmzBhs2bMDevXtx6NAh1NTUwO12w2g0IiEhAQMGDMCwYcMwefJknHzyyTCZTB3dbCIpDo8PWwtrsbvMGvGAwaO8foE+SUbppHaFwyM909smmfBNMupgtOjRL8WEFLO+LmltCH6td55o0kF3DPbtc3n8qHF6UOvwosb+W8K7wurGjkNV8PkF8srsOFRmC84yj4BGo0hPDy+VnKUNAJlJRuRK7nF5qNKBaqcXN73/M6YNTMV5x/dCQhyXJid5jCGpIzCGpJ6k2OrC4Wqn1D7Kdo8fZp0GdsktWvqnmqWS2gBgjNNGndTWa1TEx2kxfJgllKxOtRiQbNGHfU2xGGAyaNq9DywQELC6gknumlAMGRww+XN+JeIMOhyudCC/3I6qCAerAoAq+UsvMyFOOqFt0mtgk5x97xcCpTY3qh0eOLwBpFsMMOvb//tP3RfjR+oIXTF+ZFKbYuLzB/DljmKsO1iBgZkWqYQ2ANQ4vbDoNKiCXFK7xOpCTopJKnBwt7BEjaoAZr0WZr2m7hU8Nuo0UDtRkBKc9a0AUKFoGvzf2hgPIDN0Kvw+wOsEPC4IjzN0DK+zUSJa+OT+PQJe+Zn3anIm/Ps3SZc3nzAZJcs/gq+6Cvn/9yDiBgxGxvkXI37cJCgqlwUios7J7Xbj3Xffxeuvv441a9bA72+5o2Pjxo2hY61Wi1mzZuHyyy/HvHnzoNMxEUOdn93jw8EKB1JMOmwvrpXev9nu8UOVzKEKAWQlxqFAcl9trVaFr5k4MishDv3TzBiQZkb/NBP6p5nRP9Xc6fZwjtNrEKc3IjOx6YGTR/n8ARRVOZFbakPe0VdZ8GthlTNsto7T45eeBW/3+qU7Agtq5RPiRp0GfgUosbrxwbZCfLazGGeNyMTc43shOYa9M4mI2htjSOpJhBBweHzw+PyodHilEtpAcMXGYRkWbCmokSqvjWHgYbxZh1pr04PwjDoN+qebMTDdjAFplrpjC7KTjJ1qJRlVVZBo0je5v/giDAw7r3V4kV9hR365HflldV/rXg1XBVIlv69xkpOcAGBgqinqgbX1DU41o9LhRUAEVy416jRIt+hhMWiZ3CaiTqurx49MapMUXyCAFTtL8O91eSisG504aUBKTHXmVzqkAxinNwCn1w+TPvr/pB3eYGdovEHbKIEdp1W7XRCiaLSAJh6Iiw9bEEgIEZzF7XECXhcCVUVQ4lMhasqinnXtj2E/bU+t5BKidXxeAV91Vejclbsfh/7+Fxhy+iPj/IuRMHEKFJXLAlFk1DYaJdmJ/v6kTsZqteIf//gHnn76aVRVBX92iShnjXq9XixfvhzLly9HVlYWbrnlFvzud7+DxWJpjyYTxcTu8SG30oHius48l8+PASkmHKx0SNVX5fJicJoZe8vsUuVTzHqppDYA6HQqeiUY0D/VXC+BbUa/VJNUTNqZaTUqctLMyEkz45TjMsM+c3v9OFRuR16pDbuO1GBLbiUKqpworIru+xpv1EJunjWQnWTEYckZUwAwY3g6lv9aEjp3+QL4eHsRlv9ajFnDMzFvdDZSzUxuU+QYQ1J7YwxJPcnRZLbN5UWg7r/zXhY9CmMY0JYoscz1UW5/ACa9Bg6JlXuEoiAhTosB6Rb0TwsmrQekmzEg3YyMhLhONYGmLSSYdDjelITjc5LC3hdCoNzqDiW4v99TBr9WwZ6S6Fdv8gQE4iTbZ44hZlcApBp1YYMrnF4/DlU5EadTkW4xIJ7JbYoC40dqb90lflREtK2mHs0fEFj5azCZfaRBR9XgDAtyMkz4uUB+H+ZR2QlwS46Qy4gPLt0YiQSDFr0SDOgVH4dMiwEJBg1UzuJtkgj4IayVCFSXIFBdikB1SXBJ8xa4Cw5BeCVmeSsKrIdKIXxyo20NA4ej6pdf4atsPqluyM5B+vkLkXjSKVA0TG5TY0eOHEFOTg4A4KmkQUhRYx9xVhnw4q7qAwCAw4cPo0+fPjHXSV2bEAL//Oc/8cADD6CqqiosiBwxYgROOOEEHH/88RgxYgRSUlKQmJgIi8UCl8sFm82Gw4cPIzc3F1u2bMHGjRtx8ODBUHlFUZCamor7778fv/vd7/j7jToFh8ePg5X2UDK7vpzEOHxzsEK67kSDFhvyqlq/sAkKgP2l1ohmesdpVYzIiseoXgkYlZWA/qkmxHOJ6maVVDvxc34Vfs6rws+5lfi1oAa+FuJ8i0kHj+SfpsP7JOKw5NLjAHD51H74Yndps59rVQWnD8vA/NHZyIg3SN+HujfGkHQsMIaknkQIAWddMrvhdjF6jYoD1S7USs7WBoBdJbWodcstQV5W68KBCAdV9kkyYmRdDDkozYw+SUYmOpvh8QWwt9SKnYW12FFYgx0FNahsZavKIb0TodNG//NKqyoYm5MkPQs+J9GIbIuhxa2M4rQq0iwGJMQxuU1NY/xIx0J3ix+Z1KaI+AMC3+wuxZIf8nCohZk0i6f2w7J6sxyiNSIzHrLhaJxWRd/UppcgTzHqkBVvQK+EOPSKN8Q0Eq+nE0IALnswyV1TikBVCYStEkfXnRQA3HkH5Co3JqD21z3SbTMcfxLKPl8W0bX6zGykz70ISVNnQNHyvwf6DQNKam/bt2/HVVddha1bt0IIAUVRMHPmTFx66aU488wz0atXr6jrzM3NxWeffYa3334bGzZsABAMLEePHo1XXnkFJ554Yls/BlFEHF5/cGZ2ravZJcYTDFocqHSg2iW37YmqAHuLbfBJ7uNcXOOEtYkOUYteg5G9EoJJ7LpOyFiWm+zpXB4/dh6pxtbcKvycV4mf86rC9lnU6FRoJDokASAxMQ4+yb9qB6WboRhUVDtb/ytEoyiYMSQNF5zQG70SZOcEUXfFGJLaG2NI6ilCyWy3F/4W4juhqPi1VH61P58/gJ8klyCHEFh/sLLR2wqA/qkmjOqVgJFZCTguK55bmcRACIHiWhe2F9RgR2EtdhbW4GC5PTQg1aTXoH+vBKm6+yYbkZ3U8hY8LZnQJxGi+R0twxjqktuJTG5TA4wfqb11x/iRSW1qUUAIfLu7DEt+yEVeRevLQg5MM0M1qKhoZRRdcwxaFX2STVAlR8n1TTHBpNcgzaxHr/jgTOyseAPidJyR256Ez4tAbRlEdSk8B36BJ28vIo7s6vE4A3AVyw2KUE0W2Cts8JY1P8umKbr0TKTPuRBJp5wOlXuIEcIDyn8kDUKKpg0CSr8XtzOgJABPPfUU7r//frjdblgsFtx00034n//5H/Tr16/N7rF79248/fTTePPNN+FwOKDT6fDwww/jnnvuabN7ELXGWZfMLmohmf3/2bvv6DjK6+Hj35nZrt6LJffeC9gYsE0zvYTeQy+BEF4CqUBCSICEhAAJkIT+I5QACb13jLGxccG927Kt3utq68z7h7CxscqW0Uq7up9z9hx5d+bOFUjau3Ofsq90p4WvSyO8qQgEAzpbIlyC3OsPsqveTbrTysSCVCYVdjSxh2S6Em4JyP7EMAx21rSxsqSBD1aVs7mmlfp9mtyhSrZb0G1axDcIj5uUx/Ly8FaaUhWYNzKbs6YMYlAUN0NFYpEaUvQmqSHFQGAYBu3+b2dmhzBY0aqprKtuwx/hwEZVga92NoRUq3Zm1a5GvIEgo3KSmZCfyoSCjiZ2sl0mTvSmNm+A9RUdM7lXlDaha0pIqy5935jc5JBX/Py+JJvGhJzksK9r01Rykm2kOa3S3BaA1I+idyVq/ShNbdEp3TD4YnMtTyzcwfba8G4QHj85nyW7GyO+9uAMF3ZbeE3oVLuFcfkpjMlNZnxuCrYIZ3kIcxg+D/5dm/CXrMe/ezP4Q1sOsmV3NUYgsqWfrEPHUrdgQUTnAjgGD6PoJ7diz82VZckHuH0Lyr9ljCTLhIKyLujnJw1bASkoBzpVVbFarVx33XXceuutZGdn99q1qqurueeee/jHP/6B3+8nGIzs76sQ4fD4g+xocFPeFFoze49km8aaqpaIZ1tbVYU1YW6BoyowMjuZnCQrhw7LYlCaQ24u9SHDMNhQ3sxnG6r4bH01W6paQjovO81Be4SfaO0WlcH5yTS0RzYgVwF+OX80o3OSZRaWkBpS9CqpIUUiMwwDjz9Ii8cXUjN7X+0Bg+3f2x4xHCX1bqpaw9vCJNVuYUiGk2yXjWlF6ThlIk2favMFWFvRzKryZtZXtuANhjbJZsbgdKwRrsI0OjuJ1ChWAXVZNYZkdixDL58/BjapH0VvStT6UYaOiQNsrGjmT+9tYkuES/isK21CBcKfp9uh2eMn26r2+Kae4bQyuTCVyYVpDMlwykyafkSxObCNnIJt5BSMYIBA+Xb8OzfgL9mA4e78hrOhWiNuaAO0bt4S8bkAKdNnseHnN6M6nQy74UZSJ02OKp4QQnTm5JNP5q9//SsjR47s9Wvl5uZy//33c8MNN/DTn/60168nBjbDMNhc00ZpczuRDJlt9QUZkeViU4Szrf26QZJdo62HfRE1RWFMbjJTClOZVJBKksyk6TcURWH8oDTGD0rjumNGU1rv7mhwb6hmZUl9lzNhWnxBLBHeTB5XkEqpO/K9uFMcFrxBnb9+vo25w7OYNzIbmyxRL4ToBVJDikTlCwRpcnsjHtiYbIvufbc43RlSUzvdaWVcbjJjcpIpTJWBkP1Jks3CrCGZzBqSiT+os7G6lVXlTawub6bF2/n2MlkuW8QNbQVIjnIgQ4rDgs/rRVEUrDZbTPagFUIMPIlaP8pMbbFXSU0rf3prPWfOHMzv395IMIofjRnDMtjeGPlIyaIMJ85ORrxlJdmYUpDK5MJUitOdUkTGGcPQCdaU49+5Hn/JevSG75YK9za14a0Pb4bVHlpmHg3frIk4L9XpImXuSZQ+/dTe57KPmc/gq67BnpMTcVwRn/YdJflwpnmjJK+vl1GSQojEYxgGje1+fIEg1W3+sGe67MthUVkT4uzczgSDOluqD2yKW1WFsXkpTCns2NvQFeaKQKLvNbT5+GJTNZ9vqGbRllo8/o7BCxZVwZZki/gzwbD8ZFr8kQ+qPGfaILbWuWn/Nkaaw8JJ4/OZmJ8in1MGIKkhhRAidEbAR7C1AcOZRm17dLO56j0BKlrC38JkjzUVzbg7qQeyXDbG5iYzNjeZvGS7vLfHGd0wKKl3s6qsiVUVzVS1fPc5JZr9tPOS7RSnOiLOS1MVhmXYMfaZxahpGharLEk+EEn9KET4ZGqCoN0X5InPtvF/C7cTCBo0tvk5dkIu766NbG9jgNI6N4ZKxG/Grd7A3qZ2XrL92xnZqTIaMs4piooltwhLbhHOg48l2FyHv2QD3nVL8JfVRhzXU1MXVV5phx9N6X/+s99ztR99SP3ChRRd/EMKzjwL1SZLSgohhBD7avcHqGnx4vt2ib/CVHtUTW1PQGdQqoOyZk9E52uailVT8AcNbJrC+PxUphZ27G1ot0gjO55lJNk4dXoRp04vwuMPsmRrLZ9uqOazTdUEIvxskJtip9kXiPizRbJdw6KqexvaAE2eAM+vKGV4lotTJuSTnxL5DU8hhBAiERm6ju5uQm/vGMio0ITDkoonEOl6j5DpsETV1M5PtbO9zg1AbrKNsTkpjM1NJifZHnFM0fdURWF4VhLDs5I4fXIhlc0eVpU3s2RXfcR7aQNkRLnSU5bLul9DGyAYDBIMBrFYrWiaJve+hRCiG9LUHuA+21DFvW9toGKfWdUbK5qZNz4XTVXC3stmj6pmL4NzXLREWJRqisL80TlMG5RGfhSj30T/pqVmoU0+HMfkw3HVVdP29ee0Ll+I3hr6jG3FaqN9V2nEOah2B207y9E9B64soHva2fXYv6h+922GXncDGYccEvF1RHzSFAXNhA8TZsQQoic7d+5kyJAhfZ2GGAACuk5dq/eA5fxaPH7yU+xUtkTe2E6zWyiL8FxVgfH5KcwoSmdcbgo2iyzjl4gcVo154/KYNy4PX0Dniy01vLGqnOU7G8OKY7GpEW+XBDBvRA7flDd1+tr2Ojd//2I7hwzJ5JjRObLX5gAkNaSIJ1JDilgwDAPD6ybY1gj6dw09w+8l2RbAQ3R1W6bTQn1750tN9yQ3yc7gNCfj8lLIdMmEhkSVn+ogP9XBcWNzafL42VzTyrY6d8h7cEPHylJJUaz6pCkKKVagi9vtAb+fYCCwt7ktBhapH0U86cv6Ue70DFBl9W5u/Pdybnp2xX4N7T2e+7KEI0dHt3F8iztAOKvbqwocNiyTu04ez1MXTOeEcXnS0B5ArFm5pB9/NoN+eR/ZF16PY9RECOFNOOCP5nYkJE2dSd3nn3d7jKe0lI2//gUbfv1L2ssib6CL+KMqoJnwUKWeFD246qqrcLvdEZ//z3/+k8mTJ5uYkRAHMgyDpnYfu+rbOt2fLqAbZLuiWy7NrxtkOMIbd5tqtzB7cAaXTC/m8plDmFKYJg3tAcJmUTl6XB4PnjeN/1w9iwtnDSYjhJ9Bi6rgiXDwLoDTquLV9a7uRwKgG7CopJ77PtvK17sa0GXXrwFFakgRK1JDinhgBPwEm2oIttTt19Dey92EwxLdH7y8MGfeKkB+ip2DitI5amQ2hw3Lkob2AJLmsHJwcQZnTy5k7rAs8lNCm5Wf7YpuifAMlwV6qAkNw8Dv8+HzejH06O55ivgi9aOIlXivH2VP7QHGFwjyzBc7ePyzbXh7mEV95Pg8VpQ3E4jihk96ig2lh5uKmS4rx4/L49ixeWRFsfyLSDyBhlpav15A27IvCLY0dnpMa0UdeoR7ISo2GwFLGu5tO0I/x2ql4KxzKLroIjSnK6Lriv5t3/1sHs0eRbYJ+9nUBv1cXbsFkP1sROdUVWXUqFE8++yzHHzwwSGfV1payhVXXMFHH30EdCxbJkRv8PiD1LR6eqwfFcATNKiIYra2qsCm2gP3xv7+dYZkOJmQl0pxmmxPI77jD+p8ubWWN74pZ2lJQ6fHZKbYUKOYZTNnRBa1bn9Y5wxKc3DqhHwGZ0j9mKikhhR9QWpI0Z8Zho7ubkZ3h7Aanz2JWj26iS27m7w0+7r/WXZYVIrSnBSmOmQQpNhPs8fPlto2tta1dbkc/qTcFOwR/tyoCgxJs4Y9w9BisaBZLPJ5J0FJ/Sj6QrzXj/LuPYB8tbWWc/7+JQ9/tKXHG5IAn66v4uDB6VFdM+DTu5ytPWVQGr+aP5onLpjO+TOKpaEtDmDJyCb92DMo/MVfyL74JzjGTNlv9raOFnFDG8A+ZHRYDW0Aw++n/IXnWPnDi6n5+MOwViMQ8WfP0j9mPIToydatWznssMP4/e9/jx7CiOynnnqKSZMm8dFHH8nfItFrgrpBdYuH0kZ3SPWjAaTaNaL5q6cbkNxFw9FpVZk+KI0LpxVxwpg8Bqc75QaP2I9VUzliTC5/PXcqL11zCD+cPYSs5P0/ZwSj+JGxW1Taerhh3pmyJg//WFTCy6vKaPFEtjyqiB9SQ4pYkhpS9Ee6102gviK0hjaAtw2XFt2s1IKUru8rZrlsTClI5bChmQzNdElDWxwg1WFlRlE6Z00qZN7wLAq+N3s73WGJuKENkOGwRNSICQQC+LxegsGg/M1OcFI/iliK5/pR9tQeAKqbPNz37gY+WFMZ9rmby5qwqBDh1ti0egO4NLDbO37UkmwaR4/O5YTxeRSlOyMLKgYcRdNwjZ+Ga/w0Ao11tC37gpbFH9O+uzzymBYrDavWRXy+v66W7X+9D0tqOo5Bg3AWFkYcSwghxowZw6ZNmwgEAtxxxx28//77PPvsswwdOvSAYysqKrjqqqt49913gY7lyex2O7feemuMsxaJzDAMWrwB6lq9BMP8wOIN6BSmOihr9kR8/bxkO6313y2HVZBiZ0JeCsMzk9BkPTURosJ0J1fPHc7lhw9l8bY63vimnG9Km7BEcUNybF4K7ZF+OAJWlDaR5rAyJjdZBmUIIaImNaTob4xggGBrA4bvwK0Oe+Lyt+JWUkLaiq4zFlUhxabR8u3gM6uqUJjmYFCaE5dV9icWodFUhaEZLoZmuGjxBthS28rm2jaynJFPxlIVOvbSjtCeJcltBMFqQ7HIxDAhROTivX6UYWkJ7pN1lZz+wIKIGtoAu+rcjMiMbom8oF9nWKaLG+YO5+kLZ3DVoUOloS0iZknPIu2YH1D4y7+Se/H12AuLI4qjZeYSaGqJKpfC885n45338PU5F1Lxxtt9PkpJmE9VFNMeQnTnm2++4cYbb9zb3Fi8eDFTpkzh6aef3u+4Z599lokTJ/Luu+9iGAaGYXDEEUewevVqbrvttj7IXCQi3TAoa2ynusUTdkN7D7umRPVBQ1UU0h0WJuSlcM7kQn4woYBR2cnS0BYRsagqc0bl8Oezp/D4JQcxf0xuRDMYbJqCNxjdLLJUh4XcZBsfb6vlo601tEex6pDov6SGFLEiNaToT3RPG4H6ioga2gAE/aSo4W3v8X35yVbSvq0hDx+WxajsZGloi4il2C1MH5TO2ZMKGJ+XjE2L7H05zaFF/TnGomlQvQ2jdB1Ga31UsUT/JPWjiJV4rx+lqZ2gyhvcXPbIIvwBHV+UN17W7W7EEuHfwqnFafz+tAk8eOZkjh2bh0MKSWES1WolY85RjPzTIxT/5Jc4Bg8L/WRNo3Hd1qiu7ygqpnXrLjylZQTb3Gz87Z2s+9mv8DU0RhVX9C+KqqBoJjykCSN6YLfbuf/++/nkk08YMmRIxyzZlhauuOIKzj77bDZs2MDpp5/OJZdcQmNjI4ZhkJGRweOPP84nn3zCqFGj+vpbEAnAMAx8/gA+nx9LhDds9tANg0Fpke2LaFEVhmW6OG1CPnOHZZHlkpkIwjxDMl38eO4IHjlnCsePzcUSxnt0UYYr6pnV80ZksaqyYynW3U0eXl1Xwc4Gdw9niXgjNaSIFakhRX9geFoJrP8CfB46NqOJnN3fimJEdh/TZtHITXFycHEGBakOGQwpTKOpKplJdkbmJDMozYFNC72logBp1uh+FhVFQWnYDUE/6EGM6u3o1TswdNnSJpFI/ShiJd7rR8WQqYUJ592VZfz2pVW0eAIMzk7i+OmDeGZhePsGf9+QnCRqvaHPIpg0KI0r5wxj+uB0WVJPxISh67SsWEL1a//Bs6OHhrU9mZaSyFYv2KPg/IvZ8chjBzxvy85i7G9vI+vwQ6OKL/pOaWkpxcUdKwA8nT+WbEsUa0R9qzbg59LKjQDs3r2boqKiqGOKxNXa2spNN93EE088AbDf++iesu3888/ngQceICcnp09yFIlHNwy8Xh/Bb/dSsloslDZ7iPaTQnmzF58eWhBNVRiS7mRwuhNLGDeKhIhGbZuX11ZX8MHGKnzBrn9WNVVhWHYS1ih+NodmushNsdHQyZ7ao7OTmFWcEVV80bekhhR9TWpIEWuGYWDU7iJYshr0ILhSUQZPxvBFN1jLrzloUpNCPt5mUUlx2LBZZCKNiA3DMGj2BKhp9eLtYVuadLtKljO6n01roB2lZvuBL1hsKDnDUJwpUcUXfUfqR9HX4rF+lKZ2AmnzBrj7lTW8snT3fs+felARa8qbqWiMcPmfbyUn2zF6GOkzoTCVKw4fxsFDM6SZLfqEYRi0rlpO9asv0L5144EHKAqtVa0Y3dy07EnajIOoX7YWf2Njl8cMOudMRvy/G9CcstR+vNm3oHxm0FiyTdirqDbg44dlUlCK8Lz//vucfvrpeL3evYWkqqr85z//4ayzzurj7EQiCQSDeL2+A+bVBFCpbfNFFVs3YFdT93tra6rC4G+b2dLQE32lwe3jtTUVvLehqtObkwWpDtKTIq8JFOCo0Tnsaur6M1mK3cLcYVnkJdsjvo7oO1JDiv5CakgRC0bAR3DHKoz6sv2eV/KGYyRnQoSzrfdo1FIJqN03d2yaSrLThl2a2aKPGIZBizdATYsXTyf1owIMTrWEtTLQ96kKWCo2dP87lZaHkjkIRZHPUvFG6kfRX8RT/Wjp6wSEOdbuauSWZ5ezs6btgNfeWFbKlUeP5NnFO6O6hhLU0RW102b1uIIULj9sGIcMz5RmtuhTiqKQMvUgkqfMoG3dN1S/+h/cG9fufT0YUKJqaCtWK74WT7cNbYCyl/5H/ZKvGf+HO0idOCHi6wkhBqZly5Zx++234/F49r6vKoqCYRjccsstuFwuTjzxxD7OUsS7juXG/fgDna/GY1MMbJoa1VY2qgLJNpVW34ExNAWK010MznCGtYSfEL0hw2XjsllDOGNyIW+sreCd9VV797tWFUhyRPfReVJharcNbYAWb4B3NlYxKT+VaYVpsmyqECJsUkOKWNCbawluWw6d7J1tVG1HdaWhR3lvMMVw02CkQidxrFrHzGy7bHEo+piiKKQ6rKTYLbR6A9S0+vbWjwCpNjWqhjaA1lDa8yCRpiqM9mbIGYZid0V1PSHEwBNv9aPcPYpzum7w+MdbOP/BLzptaO/x4pclHDwsM6prtbT7Mb436mx0XjJ/OnMSj148g9kjsqShLfoNRVFInjiN4bf/iWG3/YmkiVMBaK9riSpuyuSpNCxZFtKx7Tt3seLSq9jxr8fRA7LPTVzSVBQTHkizRoSotbWVG2+8kdmzZ7N8+XKgY2TkZZddRmZmJoZhsHv3bk455RQuuOACqqur+zhjEa90Xafd4+2yoQ0dS5JnuaIfA5vltLHvvRxVgSEZTg4bmsXI7CRpaIt+Jc1p5eKDB/PoudM4d9ogXFaNdJc1qlUEXFYNI8Q9Rg1gdWUzb22spLHdH/E1RR+TGlLEmNSQIhYMQydYuoHghoWdNrT30Hev77QZHQ5ND+DQ91/tx6qpZCY5yEp2SENb9CuKopDisDIsy8WQTBcum4YCpDuiex/XAu0o7U2hHexrxyjbgNFYiSzMG6ekfhQxFq/1o/yEx7Gqxnau+Odi7ntrA4Ee9ips8QSob/Zgt0RXVPq8AXRdZ2RuMvecMZEnLjmIw0ZmSzNb9GtJ4yYy7Fd3UXDNLbiGjYw4jjUjg9qFX4d1jhEMUvLPx1hx2dW4d+6K+NqibyiqgqKZ8JCZViIEr7/+OuPHj+ehhx4iGAxiGAajR4/miy++4IknnmDdunWceuqpez+gvvjii4wbN46nn366bxMXccUwDPz+AG6PFz2Emx2GrpMW5QxVRYEMhwVVgcHpTg4fmsWo7GRsFvkoIvqvFIeF82cU8/DZkzl5fAFaFG/lw7JdeMJcKajO7ef19ZWsq2qRG5NxSGpIEUtSQ4pYMDxtBNcvRC/b1PPBAS9KzS6I8v0rSW9HNXSsmkpGkn1vM1vuQYr+SlEUku0WhmUlMSwzuq2VFAzUmh1hnmVg1JdiVGzC8HsjvrboG1I/iliK5/pR7iTFqY/WVHDanz/jqy21IZ+zbncTEwrSorpuToqdqw4fxpOXHsScUTlSSIq4kjX3SCb9418Mv+lmLKnh/y7oihXd0/2+oF1pWbuOr8+7mPJX34jofCFEYjvzzDM544wzKCsrwzAMFEXhxhtv5JtvvuGQQw4BIDc3l9dee42nn36atLQ0DMOgoaGBK664gmOOOYbt27f38Xch+jvDMPD4fHj94c3+dGpE1dADyHTZOHRIBqNzpJkt4kuGy84ZUwq5ce4IRuckhX1+dpINb4RL+AcNgyW7G3h/S81+S1kKIcQeUkOKWNBrdxNY+ylGa33I5xjNNSjtzVFdV1E10hwWspIdOKwWuQcp4orTbsVmt2Oxdr83fFe0pkqUEFf6OYCnFaN0fVi/s0KIgSPe60fFkGHfcaXdF+BPr6/jxUWR7Y+tKjAoN5malvBGa1k0hUvnDOfyeSNw2mSJHxH//M3N7H7qSarefB30nm802nLyaN4c3b70ACN+eiOe6gaG/+hyLC5n1PGE+UpLSykuLgbguRETybHaoo5Z4/dx4baOvd13795NUVFR1DFFYlFVde9+NcOGDeOpp55i7ty5XR5fXl7OlVdeyXvvvbf3PJfLRWtrawyzFvEkEAzi9fkinjBjAFVt4W+lYbeo5CQ7cMgSkSIBGIbBxupW3lpfSb07tMEhw7JdWKJcAjDVbuGwIZk4rRrpzshujIreJzWk6AtSQ4reZAT8BEtWYdSVRhZAUaFoHFjt4Z6I6kpFdaVKI1skBMMwCPj9BIOhDVJUAl6sNVujv3BmEcHKEiyjDkLRot9WSphP6kfRF+K9fpRpEnHEHwhy4d8WRtzQBtANcLv9YS1hN2tEFi/fcDjXzx8tDW2RMKypqQy/8f8x+V+PkTJ5SvcHKwqtOyL8ELePjNmHUL9sNdsfeZyl511Oe3lF1DGFEInDMAyuvfZaVq9e3W0xCVBYWMg777zDo48+SkpKCgDt7V3vaycGLsMw8AcCeLyRN7QBFCDFFvpHB1WBnGQ7RekuaWiLhKEoCuPyUvh/c0dw7JgcrD0sYZCXYo+6oa0ABw9KY1tdG2srmilvjmzVICFE4pIaUvQGPRggsO6zyBvaAIYO1SUhTSTYQ7E5sWQWoCWlSUNbJAxFUbDabNjs9hB+rg0s9dFPqiEpHf+mpQQ2L8W36BUMT1v0MYUQCSOe60dpaseJj1dXcMnfv+SEaYOijlXX4iXbZeuxsZ2dYueP507lH5cdzNCc5KivK0R/lDRiJBPuf5BRt/0GW3ZO5wdZHehRLvloSUvFNWIklW+9D0Dzuo0s/sFFNCxbGVVc0bsUVTXtIUR3iouL+fDDD3nkkUdISgp9edsrr7ySNWvWcPTRR/didiJeGXqQYGMVasCDGfcEk6xqSMuQp9gtDM5MIs1pk5uRIiFZNZUjR+bw03kjmVyQ2ukxFlXBZY9+QMfE/FQqW7wYRseKCdtq29hS04ouC671a1JDiliRGlL0Bt/WVbjfewYlvSD6YN42aAhhQL+qoaVmY0nLkRmlImGpqtrjkuRqWwNKMLztog6gWQnWVaFXlQCgN1TiXfAiemN1dHFFr5L6UcRKvNePUiX0c4Zh8PhHW/jz6+swDMhIsnH4mBwWbqqJKm5ZnZskl5XO2nSaqnDe7CFce9RIkh2yvJ1IfIqikH3U0WTMPpSy55+l/KUXMb7db1SxWmmvboj6Gvmnnca2h5/c7zlfXT1LL7qa8b/7FcXnnhH1NYT5VE1BjXYjWUDVpakjurdmzRpSUztvjPRkTzH6j3/8w+SsRDwzAn4CjVUQ9GP4PNjS8/CasCVvltNCtbvzZchtmkpOsh2nTT5iiIEh3Wnl/OlFzKpr4811lVTus8VTRpI16lna2S4bFqA1uH8Du7LFi9sfZFxeCrYoryF6h9SQIlakhhRmMgwdz/JP8K74BACvKwVbTi60RXlPpKkKHEmQlN7py98tNS7vaSLxKYqCxWJB07QDlyTXg2gtlVFfQ1csBLYu3+85w9OKd+HLWKfNxzJodNTXEOaT+lHESrzXj1It9GO+gM6vn1vJva+t27tc5AerKhic5SIzOfr9Ffy+ILq+/w2SqUMyeP76Q7nlxHHS0BYDjuZ0MviKq5j65P+RMftQAHyN7o5pMVHImjuHkqf/Q2frvhr+AOt+/XvW/+5P6IHw9yoVQiSGSIvJff3oRz8yIRORCHRfO4H6ctg7wt+A5hqsqgkfkBVI/d4y5IoCWUl2ijNc0tAWA9LwrCR+fPhwTpmQj8Oi4rCqpEW597VFVRic5qDV1/lolGZPgG/Kmmj1Sv0oxEAmNaQwixHw4/74xb0NbQD/lpUEPT4wY+Z07S4I+PZ7SrHasWQUoCWlS0NbDDj7LkmufjuzVmsqR4l2NR57Mv7Vn3X+mh7Ev/w9/BsWhbU1qRAiscR7/SgVQz/V0Orlsoe+5L+LD9xD45nPtnOSCcuQ+wI6mmFgGAbpLiu/O3MST1w5i9H50f9QCxHPHIMGMfaueyi+8lq0lLSoYtnzcmlYvZFga/d71+x65j8sv+x6fA2NUV1PmEtRFRTNhIcJjSSRGG644QYaGqJf/SEcTU1N/OQnP4npNUXf0dtbCDZUduxhuN8LQdS2Osz4c+Syqti+HUGebLcwJCOJDJcsNS4GNk1VOHRoJjfOHc60ouj3AR2VlURLD8sreAM6q8qbqG31dnuciD2pIYXZpIYUvUl3N9P65mP4t6854DXPik/RbSbcJwwGoGZXx2B/VUNLyUJLy0WxyIQaMbCpqorVZsOq+1B97uiCWWx41y8CvfsaMrBlGb6lb2H4pYbsT6R+FGZL1PpRmtr90LbKFs768+cs3VLb5THPfraN+RPzo75WuzfIISOyeO2muZw6vQhV/ugJsVfRBedz8MsvkHPUEZEFUBTUpDTad5WFdHjdoqUsPuNiWjZvi+x6wnQdBaFqwkP+tooODz/8MKNHj+aBBx7A749yn6we+Hw+HnzwQUaPHs3DDz/cq9cSfc8wDIIt9QSbu64fCfiwepo7XTkkXGl2jYJUB/mpzqiXWBYikaQ7bZw6voB5w7L2Dv4IV16yHX9A7/lAQDdgQ3UrO+vdMuOmH5EaUphNakjRWwK15bS8+g+CNaVdHtO+7GN0W3L0F2tvRjF0LBkFqI4kGRApxLcURUFLSkMtGg/OyAeRBMq3Q3trSMfqVTvwLnwZvbUx4usJc0n9KMyWqPWj3IHqZ77cWM3Zf/mcXbXdz+r0Bw0Wb6phaLYr4mtlJtv451Wz+OcVs0hzRb+cuRCJyJaRzoS//JFxd/4WLSm83zfXyFE0frMurHPad5Xy1Vk/pPqjz8I6TwgRH66//nrq6+u5+eabGTlyJP/4xz9oa+v+PT9cDQ0N3HvvvQwfPpyf/vSn1NTUcM0115h6DdG/GIZOsKka3d3U88E+N/ZgdDMALJpGqstBkl1m1gjRlRFZSfxgQgEFKfawzrNrKik2Lewb/bsa29lQ1UpQl8a2EIlIakjRG/wlG2h941GMth5qyIAfz7qv0RUt8otZHWhjD8OSNwxFldvRQnRGsdhQ8kehZA+GMJfkD3raCVbvCusco6Ue7xcvEqwJ7zwhRHxI1PpRMWQ4d7/x/Bc7uPOlVWHdiCjOdlHn9uELhPe/8fCxOdx9/jRyUh3hpinEgNVeXs6G235H08pvejzWlptDy9bQZmh3SlEY9dPrGf6jy2X0coyVlpZSXFwMwMtTp5NrC+9mdGeqfV7O/mYFALt376aoqCjqmCJ+vf/++1x55ZWUlZWhKApJSUmcd955nHfeecyZMwerNfxGYXt7Ox988AEvvPACb775Jh6PB8MwyM/P5+GHH+b000/vhe9E9AdGMECgseqAPQp7orsy8Gvh/32z26xYLbJvthChMgyD9dUtLCttJBjCR7YhaQ5sWuRNA5dNY0JeCg5rFI0HERGpIUVvkxpSmMUwDLyrF+JZ8h4Q+v1ENTMPR1Fx2PtfKxkFaMOmoVhlQo0QoTJ8Hoya7eDteUCyAfjWLor8YoqCdcIctGFT5B5kjEn9KHpbItaP0tTuB4K6wT2vrOH/Po1syeER+SmU1LWF9KZj1VRuPmUcF88ZLkuNCxEBIxhk17+fZ8fD/8QIBDo9RrFY8LX50b3RL+sx6qbrGH79lVJUxpAUlCIW3G43d9xxBw8++CB+v3/v73hSUhJz5sxhypQpTJo0ibFjx5KZmUlaWhrJycl4vV5aWlooLS1lx44drFy5kiVLlrBo0SJ8vo6mpmEY2Gw2rr32Wu68805SU03YA0/0S7rfS7Cxqsc907rid2Wha6F9gFFVFYfNiioza4SISEO7j8+311Hf3nV9mO2ykeGIfgUEq6Ywoygdq2wNEFNSQ4pYkBpSRMsIBmhf+Aa+TcsiOt+SPwRbbm5o9yhUDW3IJJScIXJPQ4gIGIaO0VABjRVdH4OCb/MK8LVHfT3rxHlowybL72sMSf0oYiHR6kdpavexlnY/Nz31NZ+vq4oqTnF2EhXNnm6PGZ6bzF9+OINxg9KiupYQAlo3bWb9rb+lbdv2A14zNDu+hpaor+EoyGfkTddR9srbzHj0r1jCXP5cRGbfgvK/02aQazehoPR6OWvlckAKSrG/nTt3cuedd/Lss8/u3d8mkg+Qe8o5u93ORRddxK233srQoUPNTFX0M7qnjWBTDeHMrjmAouJ1ZYLa/cxrm9WC1WKRmxtCRCmoG6wsb2J1ZfMBrzksKoUpDjQTfs+GZrqwqZDisOKyycoKsSI1pIglqSFFJHSPm7YPnyNYsSOqONbiEdgys7o/yJWGZeRBKM6UqK4lhADD04pRvQMC3gNe81fuRK+NYqXIbylJ6ehZI2nf+A2ZZ12FYpGtpmJB6kcRS4lSP8rQ7T7kC+jc88qaqBvaALtr23BZu/7fee7sIfz35rnS0BbCJMljRjPjuacpvuiC/Z5X7A5TGtqqw8Hway9nzc/voHbBIpZceA3+pgNvgIrepWqqaQ8hOjNkyBCeeOIJdu7cye9+9ztGjBiBYRhhP8aPH8/dd9/Nzp07eeyxx+RmZAIzDKNjhnZTNVE1tAEMHVt7Ixh6py8rioLTbsNmtUpDWwgTaKrCQUXpnDgml2Tb/suDZzttpjS0c5NtWBUDjz9ITYuHNm/nKwuJ3iU1pOhtUkOKcBkBP+1fvBZ1QxvAv3sb/saGLl9X80dgmTBXGtpCmERxJKMUjYeUnP2e190tpjS0sdgwckbS8Ma/8WxaRd3zD6H7Dmygi94l9aPobYlSP8pM7T5SVufm0r8v5Kr5o/nH+5soret5f4yeqAqgqfstK57msvKH86ZyzKSCqOMLITrXsHQZG37zO3y1dXga26PuMQCM+Mm1bHv4CYLt363AkDpxLLOe+xe2zIzoLyC6tO8oyVcOOti0UZJnLPsakFGSomfr16/n008/ZenSpWzatIldu3bR1NSE1+vF6XSSmprK0KFDGTNmDIcccghHHnkko0aN6uu0RQwYhoFRvR3D3QTZQ9HdTabE1S12/I502KehZtE07DZpZgvRW3xBnSW7GthS10aGw0q2K/p9RlPsGvnJNryB/QeqZCXbSbbLbJveJjWk6GtSQ4qu+CrLKH/4brJPO5/gxi8w3NEPxEdVcQwfg5a0T+PaakcbPh01PS/6+EKIThnuRozqEoyAF9+mFRCMfutDiqdQ//ZLEPxuMKSteARZF9yA6nBGH190SepH0dfisX6UpnYf2F3bxkUPfEFZvRuLqvCrMyfxwFsbaPVEP4realHRlY6ZNbNGZvOnC6eRly5vPkL0Nm9tLat+8nPql6yMOtags06j/I33CbS2HfBa8ugRzHr+URx5OZ2cKcywb0H56qyZphWUpy9ZCkhBKYSIjGEYGFXbMGp3djyRlIGRPgjDF/3ASICA1UXQ0bH3kd1mxaJp0tAWIgY2VLdQ1+rFILrfN5umMDjNgS/Y+coLmUl2UkzYr1t0TWpIIUR/5KsopfSBOwg2N6JYrORdeCXBdQvMaYRZbThHjEO121HS89CGT0exRv+3TwjRPd3rJrD6U4IV26KOpeSPoe7DNyFw4N8Ea8Fgsi66Ec2VHPV1ROekfhQifLIWQYyVVLdywf0LKKvvuAEZ0A3++MoaLj9qJKoJ9w39AR0LCv/vxLE88aPZ0tAWIkbs2dkc/OzjjLj+yqjiZMw6iPK3P+q0oQ3Qunkbi8+8FHdpeVTXEUIIET8Mw8Co3PpdQxugrQGlqdy0vc4sfjda0IPLYZf9s4WIoXG5KUwrSsduifyjuapAYaq9y4Y2QH2bl+Z2X8TXEEIIEX+8Zbsovf+3BJsbgY4lyKuefwJ1xAxzLuD34d29HWXwRLTRh0hDW4gYUe0urDNOQBs+Nao4SuYg6j9+u9OGNoC/Yhe1/3cfwVZzVggTQggzSFM7hnZUtXDhAwuoaGjf73l/0OCR9zdx7mFDo75GmsvKv66ZxTXzR6OZ0SUXQoRMUVVG/fR6pvztT6gOR9jnu4YW07R+M4Ee9s5279zN4jMvpW3Hzm6PE9FTVAVFM+Ehf4+FEBHqaGhvxqjbdeCLrfUoLTWgRl/SK45k7ElpqCbEEkKEJ8lmYdqgNNIclojOL0ixo+s9L8DW4PbR6PYhi7X1PqkhhRB9zVtaQtkDdxBs2b8ZZfh9VL/6IgyaEPU1FGcSzqMvwFIwUgZEChFjiqpimzgX69SjQYngM1xSBvWLvsToYe/sQHU5tU/fR6CpPsJMRaikfhQiNHLXKka2VbZw4QNfUNXo6fR1f0Dnv4t3ctTE/IivMSw3mZdvmcdh42TvGiH6UsFJx3LIS0/hKAj999mSmoKvsRV/XUNIx3vKK1l81mW0bNoaaZoiBKqmoGqqCQ8pKIUQ4TMMA6NiE0ZdadcHtdajtoX23tEVNTkDLTVbGtpC9CGrpjKxIJWC1PBmuWW7rIRTZjS1S2M7FqSGFEL0Jc/u7R1Ljrd2PmDe8Hmp/fAd9PTIl6RVM/NJ+cF1WPOHRBxDCBE9y+AJ2A47E+yu0E+yOmhavRajvfNVIr8vUFdF7VN/IVBfE2GWIhRSPwoRGrlzFQOby5u58IEFVDd13tDewxfQWbixignFaWFfY/boHF7+2TyG5aVEmqYQwkSpE8Yy+7VnSZ8xteeDNRU0C97q2rCu4a2uZfHZl9O0Zn1kSQohhOi3DMPAKN+IUV/W88GtdajuRgi7SaWgpeWiJaXL7Boh+gFVURiZnczI7KSQdthOsWs4LeH/7jZ7/DS0SWNbCCESkWfnVsru/x16W2u3xxleL/WLFhG0h38P0jJ4LCmnXoOakhFpmkIIE2mZBdjnnouSltvzwYpKy/Zde7clCFWwqY6ap/+Cv6YisiSFEMIk0tTuZZvKmrjogS+obe5+KY89vH6drRXNFGaEvhf2uYcN5YkfH0qayxZpmkKIXmDPzmLms49SdM7p3R5nSU3DWxVeQ3sPf0MjX517JfXLvonofNEDM5b90RTCmkIlhBjwDMPAKNuA0VAe+klt9ajtjaE3tlUNS2YBqiMpohyFEL2nINXBpIJULN0sHWjXVNLsWsQDUlq8furavNLY7i1SQwoh+oBnx2bKHrwTPcTZl4bXQ+M3awliDfka9smHk3TsRSg22T9biP5EdaZgP+xMtEGjuz3OXVWPvzayGdd6SyO1T9+Hr3J3ROeLHkj9KERIpKndi9bvbuSiB76gvjW0hvYeHr9OXauX5B72VFMU+PWZk/j9+VOxavK/Uoj+SLVZmXD37Yz77S9QNO2A1y2pqRE3tPcItLSy9MJrqP1ySVRxhBBC9L2OhvZ6jMYIRsC3NaC6G3pubFtsWDILUaxyM1KI/irNaWXaoDSSbAfWj5oCmU4NNcoVFtq8AWpbpbEthBCJoH3bRsr+9nv0dndY5+medho3bMfv07s/UFFxzjkd5yEnosiWNUL0S4rFinX6cVjGHdrp697mdjxlIawE1g3d3ULt//0VX+mOqOIIIUSkuu+aioit3dXAJX9bSJPbH9H5Hl8QrB2rEgc7qSuT7Bb+etlBHDWpIMpMhRC9TVEUhvzwPJJHDuebG36Ov7EJAM3pxFsb3T6oewTd7TQs+wZ7dhYpY0aaElN0LAOqdjNLKpw4QgjRE8PQMUrXYzRVRR7E3YhiGBhJmR0jIL9HsbvQ0nJQFLkZKUR/57BqTClMY1NNK3Vtvr3PZzqtpg1q9gWCBII6Fk2VbQhMJDWkECKW2resp+zhuzG83W972BXd007ztjLShuZicR446FGxO3HNvwBr4YhoUxVC9DJFUbCOOgg1JQvfivcg0NGbCHj8tG3bbso1DI8bb+k2dMWCY1CxKTGF1I9ChEruZvWC1SX1/PDByBvae3j8QTRVOWDkfGGGk//cPFca2kLEmaxDZzL71WdJGjkMxWrF19T9HlfhGHbVxTSsXMOiH1xM07qNpsUd6BRNNe0hhBDd6Whor4uuof0tpb0Jpa3ugBnbqisNLS1XGtpCxBFNVRiXm8zgb7enSndoOK3m/A5rqkJ2so2g30fA75cZ2yaSGlIIESvuzWspe+iuiBvae+iedppKqgi077/apJqWRfJpP5KGthBxRssfhn3OOSiuVPSATsvmrabFTp5zItUffMTW39yCt7zUtLgDndSPQoRGfsJNtqu2jaVb62huj66hvYfXr2OzqHtvMEwdlsH/fn4EYwelmRJfCBFbrsFFHPzsv0ge0/0eN+EoPv8M6pevoubjBQRa2/j6h9fh3h3dckJCCCFixzAM9KZaDHezaTGV9maU1u8a21pqNlpKpszEFCIOKYrCkAwXY3KSSOlkOfJIqIpCtsuKEQgAEAwGCX77tRBCiPjQXlaKe+MaDF942x52Rfd4aNpRubexbSkcTvJpP0JLzzYlvhAittSULKyzTsXd5MXobCnYCLgOPpLK9z6gde0qgi3NbL/rNvwN9abEFkKIUEhT20Tl9W7Ou+9zFm2s5vrjx5gW1xfQsWgKR03K59kb55Cd6jAtthAi9hw5ORzyn8fJPXpu1LHyTzqWuiXLaVqxeu9z3upall50Lb56c5Y2H8hUTTHtIYQQXQlsWIRv8asYyTlg4j7XiqcZxd2IllGA6kwxLa4Qom/kpjjITXVGHUdVINtlAT243/OBQICANLZNITWkEKK3te/axdrrf0TtsnWkzjvRtLi610vTjgq0IRNJOvEyVIfLtNhCiNjTUjLJuuBGbEOjn1zjmDiTyrffw1Py3TLmvpoqtt99O0F3W9TxBzqpH4UIjTS1TdLs9nHlI4uoafbyxYZqPllbyeVHm7ev7dmHDuUfV8/CbjVnZL4Qom9pTgczHr2f/JPmRxwje96h1C9dgXv7zgNea9u+k68v/TEBtzuaNAc8RVVQNBMeJuyJI4RITIGSNQS2fwPBAP6VH6FbXGAxqbFtsaEWjkK1yYBIIRKFy2YhN8VBpJWFokCm04JidD5bJ+D3EwwGO31NhE5qSCFEb/I3NLDhV78g0NxMw8IvqP5iKSmzjzYtftrcE0iafx6KKvcghUgEqt1B9gU3YB85MeIYthETqXjnA3w1B26X5dm5nZL7/oDu90WT5oAn9aMQoZGmtgl8AZ0fP7aULRUte5/bWNbMuyvKOfewoVHHv/TIEdx53lRUVf53CZFIVJuVaQ/9iUFnnRL2uRkHTaVh+Sp8NbVdHtO4cg0rr/85usy4EaJfmzFjBpdffjl/+9vfWLBgAU1NTX2dkoiRYNUO/Gu/2OcZg8CGxQQDOoZmjS64xY46bAaqQ2ZoC5FonDYLualOwt1NQAEyHRoa3e+d7ff50KWxLUS/JzXkwBT0eNh426/xVpTvfa51wwbKP1iAc+phUcfPPPFssk6/SO5BCpFgFKuNrHOvxTFuWtjnWgaNoPL9jwm2dL1dVuuab9j98F8xdHOWORdC9I5EqB8VY89mzSIihmHw82eW89rS3Z2+nuSwMHd8Lu8sj2x/2yuOHsUvz5go+x8KkcAMXWftrXex69mXQzo+ZewoWrftwPCH1qwuPu90Jt17h/wdCVFpaSnFxcUAvH/SEeS5op/hWOX2cNzbnwGwe/duioqKoo4pEoeqqgf8fg4ZMoSpU6cyZcoUpk6dytSpUxkyZEgfZSh6g95YjXfxqxDs/G+5mjcMLTkJpYvXu2W1ow6djmKX5SKFSGTeQJDq5nb0ED/RZzg0bGH0KGx2uzQ1wiA1pIg1qSEHHiMYZNMdv6Hhy4Wdvm5JSSV33ix8W76JKH7myeeSddLZUWQohOjvDD1Iw+v/R/vqJSEdr2YVUr1wKYTYrM45+QwKf3hVNCkOKFI/ilhLhPrR0tcJxLu/vb2xy4Y2QJsnwIffVDBnXC5fbKgOK/Y1x47mltMmSCNKiASnqCoT774NzeVkx6PPdHusc3ARLRu3hBV/939exZ6Xy5hbro8mTSFEL/r+GMOSkhJ27tzJ66+/vve5tLS0/QrMKVOmMGHCBKzWKGf0ipjT3c14l77VZUMbQK/ageHNxZKehdLDrMr9WB2ow6aj2KLfd1cI0b/ZLRp5qU6qmj3oPYxVT7erYTW0AXw+H3a7XT6PCtGPSQ05sJT845EuG9oAgZZmKt7/jJzDD0YvD+++QdZpF5B5/BnRpiiE6OcUVSPjB5eiWGy4V3zR/bHJmVR/8RXhfByteesVLBmZ5J5yZpSZCiF6S7zXj9LUjsJ/F+/koXc39nhcQDdYuLGGKUMyWLWzIaTY158whv938ni5gSDEAKEoCuNuuxlLkost9/+z02Psudm07yqNKP7WB/+FIy+HIRefE02aA46igapF/3dYka3IRDdWrFjBxo0b+frrr3n44Yfx+/3AgUVmY2MjCxYsYMGCBXufs1gsjBs3bm+RuafQzMjIiOn3IEJn+Dz4lr4Fvvaej22sJuDzYMkuCG1fLGloCzHg2Cwa+WlOqprbCXYxZTvNpmKPpJ4xDHxeLzZpbIdNakgRC1JDDiwV//svla/8t8fjDL+f6k8XkXHQZNTm8pD+fmeffjEZx55mRppCiDigKCrpJ1+IYrXRtuTjTo8xbEnULl0VVkN7j4p/P441I5OMw4+MMtOBRepHEQuJUD9KUztCX26s5vbnV4Z1zupdjQzLS2FHVUu3x/3kpHH85KRx0aQnhIhDiqIw+qfXobmcbLzr/v1es6Sl4K3uev/sUKy97W7s2Vnkn3B0VHEGEkVVQmskhRBHiK5MnTqVmpoannvuOfx+P4ZhMGHCBCZMmIDD4aCxsZGSkhLWrl2L/r0lv/x+P2vWrGHNmjX8+9//3vt8UVHRfkXm1KlTGTZsWKy/NfE9RjCIb9m7GK2hDXIEMNzN+Ct8WHILUa22rg+0OTuWHLdFv1yZECK+WDWV/NSOxnbge43tVJuCwxJ5HWIYBn6fD6vNJo3tMEgNKWJBasiBo+6LBZQ88lBY5zQsW03KmOHYjOZu/35nn3UJGUefEm2KQog4oygKacedjWqz0/LFO/u9pqs2GlZthCh2rd398F+xpKaRMnl6tKkOGFI/ilhIhPpRmtoR2FjWxPWPLTnghkEoSqpbyUt3UtXY+eycn54ynutOGBttikKIODbi2svQnE7W3XY3AJrTSaCp+8EwIdF1Vt7wC2Y9/yiZM6WoFKK/2LRpE2eccQZut5uRI0fy7LPPcvDBBx9wXGtrKy+++CJ///vfWb169d6bU98fTQkd+zKVlpby1ltvAR0fWAOBCPZmFqYxDAP/qo/R68vDP9nvIVCxE0vOIFRnJ/tk21yow6ahWKWhLcRAZdFU8tKcVDe34w92vC+kWBWcluj3xNZ1Hb/fj9Vqlca2EP2I1JADQ8v6dWy56/cRNZdaNm3HOSgflyvQaZMj55zLST/yRDPSFELEIUVRSD3qNBSbneaPXwVAN1Qa1m3DiKDvsS8jGKDkL39gxB334ho+0ox0hRAmSIT6MfpPuANMZWM7Vz6yiDZP5P9Tqps8pLkOnGnzsx9MkIa2EAKAoZecx+Q//w7VZiPY3vMStaHSvT5W/+y36HJjIiSqqqJqJjxUebsVXXvwwQdpa2vDZrPx7rvvdlpMAiQnJ3PFFVewYsUK/vznP6NpGjabjT/+8Y889NBDXH311cyaNYukpCQMwzjgIfpWYNMSgmHubbgfPUigahfBlsb9n7e7OpYcl4a2EAOeRVXJS3Vh1RSSrQouq3n1hx4MHjBSX3RNakgRC1JDJj5PWRkbb/0Vhs8XcYz2skpa6vzogf3/huecd5U0tIUQAKQcfjyp888iGISGTbuibmjvoXvaKX30b/JeEiKpH0UsJEL9KDO1w9DS7ueqRxZT1eiJOlZzux+HTcPjCwLwqzMnccXRo6KOK4RIHMXnnU7Q42Xd7XebFtM5eBCjb76O5Zdfx7RH7seSnGRabCFEZD7++GMUReHII49k+PDhPR6vqio333wz48aN4/TTT+fOO+/k008/5brrrgM6Rk1u3bqV1atXs2rVqr0P0XcCO9cR2LrclFjBukqMgB8tPRvFkdwxQ9tiNyW2ECL+aapCfqoTv89n6s0ETdMwmqvQ7S5UV7ppcYUQkZMaMrH5m5rY8KufE2hqijqWr76JJo+TlFwHFoeV3AuuJu3w+SZkKYRIFCmHzsddXY+x8WnTYtoHFZN+1MmsvuEmJv7lj2gOGYgtRF9LhPpRmtph+N2Lq9hYFn0xuYfXr2PRVK4/YYw0tIUQnRp66Xn46uvZcv8/o46VOnEs+ccdydpf/AYjGGTtrXcy5YE/yjKS3VA0BUUzYT8bE2KIxFVWVgbA4MGDwzrvxBNP5I477uDWW2/l0ksvZeXKldi+3fN01KhRjBo1ijPPPLM3UhZh0Jtr8a/93NyYTXVgsWMbNxfF0s0+20KIAUlVVaw2Gz6v15R4FlWBhlIIeNHbm1GsDlkdogdSQ4pYkBoysW279494SktNixd0t9NcHmDULTdJQ1sI0anc084h0NhI7TuvRR3LNXocWuEo1t96BxgGW/9yP2Nu+1XUcROZ1I8iFhKhfpS1CEL05CdbOXpKAcPzkk2Ne+2xo7nhxHGmxhRCJJZRN/2I4guie1PInH0QruICtj/yGEawY4WIqnc/ZNe//2NGiglL0VTTHkJ0xfHtaOWampqwz73ppptIT09n48aNvPjii2anJqIUbKrDvXox2vBppsZVnMlYp86XhrYQokuqqmKzR7+Kg4UA1O2EwLcNcsMgWFeGoQejjp3IpIYUsSA1ZOLa/shjZB55DPb8fFPjFl12JZnHnGRqTCFE4lAUhcIfXkX6oXOjipM85SDcjQF2PfkMfLtyUMVrb1Dx5ttmpJmwpH4UsZAI9aP8hIfgiw1V3PfWBn7x3EpOPriYGcMzTYn7g5nF3HiyNLSFEN1TFIWJd91K7jHzIjo/58jD8dXVUPvZFwe8tumP99O4UpaUE6IvjRgxAsMwWLhwIcFgeE0Ch8PBvHnzMAyDF154oZcyFJEwggFa3nsWz4rPcK/6CnXEQaCYUHpbbNhmnozqNHegpRAi8eyZsR0pzdcG9aVgfG8v7aAPvbFC9kcUoo9JDZmYKt/5gG1//yerf3orGfOOxTVqtClx8047ncJzzjUllhAicSmqSvH1N5M8YUpE5ydPn0X1olU0fPX1Aa9t+eOfad2yNdoUhRBRSIT6UZraPahqbOdXz38DQFA3+OeHW0hOsjF/SkFUcQ8Znc1dF06XZX+FECFRLRamP3Iv6TPCKypzjjiUxhUr8Owu6/R1IxBg1Y2/xFffYEaaCUdRVBTVhIcZjSyRsE455RQAamtrefzxx8M+Py8vD4B169aZmpeITtuidwhU7QIgUF1K6+dvQP5oiGZ2taJiO+gE1JQsk7IUQiQ6TdOwWq3hn9dWi9La9eh9o70Fo03qx65IDSliQWrIxOPeuZv1v/kDAIbfz9YHHsHQkkmbcXBUcTNmH8qwH98g9yCFECFRrTaG/ux2HEN63m93X85x0yh97WO8VZ3XkLrXy7pf/JpAa5sZaSYcqR9FLCRC/Sg/4d0IBHV+9uwKGtp8+z2/eHMt68ubOW1mcURxR+an8PBVs7BZ5D+/ECJ0mtPJwU/9naSRw0I6PmPGJBqWLMXw+bo9zlNZxepbbt27LLkQIrauuuoqUlJSALjllltYtGhRWOfv3r0bgOrqatNzE5Hxbl+HZ+X++2gbPg9tX75DQHGBzRVRXOuUI9Gyi8xIUQgxgGgWC5YQG9sKBlpTGYq3tcdj9aYqDK872vSEEBGSGjKx6D4fq3/6S4Jt+zd7aj5dQN3KjaQdcnhEcZPGjGHUbb9B0TQz0hRCDBCaK4nhv/491pzcng9WVNScIZS//SlGINDtoe27drPxzrtkxR8h+kgi1I/SVe3GIx9sZvn2+k5fq2n28v7qCo6ZWogaxkDHnFQ7j193KKku2QNRCBE+W0Y6M//9D+y5OV0eo1gsJA0ZRMv6DSHHrVv4FdsefsyMFBOKqimommrCQ0bEi67l5eVx110dH+rcbjfHHHMMf/vb39B1vcdzt2/fzieffAJAampqb6cqQhBsaaD1w66XYfJuWoGnuhbDlhRWXMvomViKxkabnhBigLJYLGgWS7fHKHoAtWEXStAfctxgQxlGsPublwOR1JAiFqSGTCyb//wALes3dvqap6yC8jc/JGnSQWE1guz5+Yy96x40p9OsNIUQA4g1I5Pht96FltL1+4RiseIL2KlbEvrWhrWffErpC323H29/JfWjiIVEqB+lqd2FxZtrePSjLd0eoxuwYEM144dk4LT1POLRZdN47EeHMigrstk5QggB4CoqZOaz/8CScuB+qqrDjiXJjre6Kuy42x5+jNovwhudlfA0FcWEB5q83Yru/fjHP+amm27CMAy8Xi833XQT48eP54EHHqC8vLzTcxYtWsQJJ5yA1+tFURQOOeSQGGctvs8IBml571kMb3u3xwXrK3Fv3URQsYcUVysai2XUQWakKIQYwCwWC2oXM/WUgAe1sRQl3FkzwQB6Q7nMtvk+qSFFjEgNmRiqPviE3c923+AxAkGqPvgMLWcwqN0PUgLQkpMZe8+fsGXKtjVCiMg5CosY9os7UGwHfnZV7A5aKlpp21kRdtztDz5E06rVZqSYOKR+FDES7/WjYsinzwPUNHs48y+fU9fa/ZK9+0pzWQn4gzR0cY6qwL+unc0RE/PNSlMIMcDVLlrK1xf/CN3XMZtGczpB96GEs3zE91jT05n9+vM4Cwbu36rS0lKKizu2l1hwyUkUJEc/EKmi1c3c/3sb6FimpahIlg8WnXv00Ue58cYb9xaJewwdOpRRo0aRmZmJ2+1m7dq17NixAwDDMFAUhffff59jjjmmr1IXQNuXb9G+/NOwzrHmF2N1aChq5x881ewibDNPRlFlyUghRPQMw8Dv8+03El/xtqC21RHNnA4lJRstteuVhAYCqSFFX5IaMn61l5bx1RkXEGjpeduHPWxZmdhcKgQ8nb6uWK2Mu/cvpE2ZalKWQoiBrnn5Enb8+U7YU0Na7TRtr0H39zy7syu23BwOevZpbJmZJmUZf6R+FH0pXuvHnof2DTBB3eAXz60Mq6EN0OT2owA5aQ5qmg4sKn977lRpaAshTJV96EymPHA3K6//OardFnVDG8Df2Miqn/ycmc89gWoLbe/FRKao345yNCGOEKG4+uqrmTlzJrfccsveJX0ASkpKKCkp2e/Yfccl/uIXv5CbkX3MV7Ix7IY2gL9yN8HkNOzpKai2/benUVKysM04XhraQgjTKIqC1WbD5/ViGAaqux7F0xxVQxvAaKlFtzlRHQeuJDQQSQ0pYk1qyPik+/ysvvlXYTW0AXx19fgaVFwFmSjB9v1uRAOM+PkvpKEthDBV6oxZFF39E0r/+QCGYqFpazVGMLq5kr7qGjbcdgeT/34/SherCQ0kUj+KWIvX+lF+wr/nXx9uYcmW2ojONYAmT4DMVMd+z181fxQXzBlmQnZCCLG/wlOOo/i8H6AQiLqhvUfTqrVsuvcBU2IJIcI3depUPvroIz7//HPOP/98MjMzMQzjgAfA6NGjeeGFF7j77rv7OOuBLdjaRMsHz0d8vt7aRHtFJf7WfW5o2pOwzTwJxRraEuVCCBEqRVGwWi2obXWoJjS099AbyjECoe/HLYQwl9SQ8WfL/X+nefW6yE7Wddxltfh9FvTgdzMli6+4kpyj55uUoRBCfCfrqONwTZ5F4/baqBvaezQs/ZqSx580JZYQInzxWD/KTO19LN1ayz8+2BR1nFZvgGSXjTaPnxOnFXLLqRNMyE4IITo36U93oLe7qXr/Y9Ni7nrmBQpOOpb0aVNMixmPFFU1ZYRjX46SNAyDww8/nEWLFvHUU09x6aWX9lkuPamvr+fhhx/mjTfeYPPmzfh8PgoLC5k9ezZXXXUV8+bNizj2unXrmDp1KoFAIG72/ZwzZw5z5sxB13VWrlzJzp07qaysxO/3k5WVxdSpU5k4cWJfpzngGfq3+2h72qILFAzgq65G93ix5eTimHkSqjPFnCSFEOJ7VM2CNSWToLfFvKB6EL2pEi2r2LyYcUpqyNiSGnJ/UkPGh5pPF7Dr6eeijuOrbyLosGNzGRSccRqDLrjIhOyEEKJzI391O+7KRhq+WmJazJ2PP0Xu/GNIGj6wJwVK/RhbUj/uL57qR2lqf6uuxcvPn12BbtLPmC+oMywvhXsunI5q0uxJIYTojKIoTLznt7Rs2oK7ZFf08axWxvz8Rqo//AhnUSH2nIG7P6KiqaYsgWTG8kGRuvvuu1m0aFGfXT9UCxcu5KyzzqKqqmq/57dv38727dt57rnnuOqqq3j44YexWsNbGt/tdnPhhRcSCATMTDlmVFVlxowZzJgxo69TEZ1wL/2QQPl20+IFmptwHHQMatrA/dsrhIgNxe5CTctDb6rq+eBQ4tlcoFrQq3eg5g7wm5JSQ8aM1JBdkxqy//JUVLLuV3eYFi/o8aINHsGwG//fAUuRCyGEmRRNY9zvf8vyiy7FW1UddTzV4WDE/7uBkqdeYNTN12NLTzMhy/gk9WPsSP3YtXioH6WpDei6wa+eX0lNs9e0mKlOK09eNxunXf4TCyF6nyU5mal/u5evzrkU3eOJOI6zqJAhl15A2Qsv4KupxVddzYQ//1E+GMepp556ittvv72v0+jR2rVrOf7442lr65jpOnr0aE499VRSUlJYtmwZ77zzDsFgkMceewyARx99NOTYHo+HM888k1WrVvVK7mJg8+3eTPvSj0yN6ZxxFI6Jh5oaUwghuqIkZaB43Rie6GZsK650jMZKqC/HQEFJzkJxpZqUpYg1qSGlhhS9Rw8EWH3zr/E3NZkW05adxfTHH0G1hHfjXQghImHLyGD8PX/gm6t+hBEMRhzHNXQIuSeexMZ7/oavroGgu53J9/3exExFLEn9KPVjrMie2sA3uxqYOz4Pm8W8/xx/OG8KgzJdpsUTQoiepIwdzfg7fhXx+VmHH0LmjIns+Nvf8dXUAlD72QJqPv7ErBTjTscoSXMesWQYBn/4wx+44oor+v0yN4ZhcOmll+4tJq+55hrWrVvHn//8Z37zm9/wxhtv8Omnn5KW1jFa97HHHuP9998PKXZFRQXz58/nvffe67X8xcAVdLcSaGnFkj/YtJiWgqG4DjnetHhCCNETRVFQMwpAs0UYQEWxuTB2rYX68m+fNAjuXI1h6N2emsikhux9UkOKeFW/dAU5R85FsUQ/Gw8ARWHivX/AnpNtTjwhhAhB2uRJjLjpJxGfnzV3DmpqDhvu/Au+ugYAyv73BjWff2lWinFH6sfeJ/VjYhjwTe2KxnZufG4FLy3bza/OmMiw3KSoY140ZxhHTyowITshhAjPoDNOYdDZp4d3kqpScMrxeHZup/bTzw94ecu99+FvNG8UeTxRFRVVNeGhxO7ttqqqipNOOonbb7+93xeTAG+88QbLly8HYPLkyTzyyCNYLPuvcjJnzhyeeuqpvf/+zW9+02PcDz/8kGnTprFw4UJzExbiW/Vv/YfKx+/DryRjn3x41PEUh4uU4y8yZbkxIYQIh6JqaFmDINyVeSw2aG/taGgHfPu/5m7CqNphXpJxRmrI3ic1pIhHLVu28/XFP2Lnc68w+pc/wzGoMOqYw669gqzZM03ITgghwjPo3LPJOeaosM5RLBayjz6ayg+/pOaTBQe8vvbXvyfQ2mZWinFF6sfeJ/VjYhjQTW3DMPjT2xto9wUpb2zn3nc3MmFYJsdOibwhPaEojZtPGWdilkIIEZ5xt/+MlHFjQjrWmplB1syp1H/+KYEulj/z1zew9b4HTMxQ9Ib29nb+8Ic/MHLkSN59910AUlJSmDdvXh9n1r2nn35679e/+MUvUNXOS5PTTz+dKVOmALB06VI2b97c6XGbNm3itNNO49hjj927N86sWbPIzpaZC8I87ds20rL4EzAMWhZ9RP1nH2OdcDiKI/JVepKPOQ8tJcPELIUQInSK1YGanh/6CaoFKrZCY2WXh+jlmzE8rSZkJ3qT1JAdpIYUvc3Qddb+8k50n5+2bSWs+eXvSZk4iey5kQ+OzDh4BiOuv9rELIUQInSKojDmtl/jHBza6mW27Cxsg4ay+8U3CbR0XiN6yirYdO+DZqYpeoHUjx2kfuwbA7qp/fH6KhZurjnguVXlTZx16BAc1vD+8yQ7LPzlhzOwmbWEkBBCREBzOJj693uxpCR3e1zSsCFYLAat69f1GLPq3feoW7jIrBTjRjwt/fPiiy9y++2309ra8cFg+vTpLF68mCOOOCLsWIZh8N///pdzzjmHIUOG4HQ6SU9PZ9KkSdx0001s3LjRlJwDgQAff/wxAKqqctxxx3V7/AknnLD361dffbXTY6655hreeOMNoOMD1g033MBnn31GUlL0K7EIAWAE/NS+9Ph+zwWb6ql762V8JKNmhT/jxjFtHvbhE8xKUQghIqK60lFc6T0cpYDXDeWbIRjo/lBDJ7hzTVzM2jCb1JBSQwrxfbtffJX6pSv2e67sf29Ru3QVeSefBN+bKdYTa0Y6E//8B1nlRwjRpyzJSUy4925Uu73b45yDB9O6s4bG5at7jLnrmRcP+Hs5EEj9KPWjCM2AbWo3t/v58zsbOn/NE+DtNRWMH57JkJzQfwB/d84UBmfLD6wQou+5Bhcz6U93dv36kEL8tRXonvaQY26+508DdgmgeJKZmclf//pXlixZwoQJ4TfJdu7cyaxZszj77LN5+eWX2bVrFx6Ph6amJtauXcsDDzzAxIkT+fWvfx31TeotW7bQ0tICwKhRo8jKyur2+EMOOWTv10uWLOn22FmzZrFw4UL+9re/4XA4ospTiH01fvwm/uryTl9r37CKpjXrMNKLCfXXw5I3mKRDTzQxQyGEiJyangfWrm5KKlBXBg1dz84+QGs9Ru0uU3ITvUtqyA5SQ4re4KmuZcNdf+30NV9tPbv/8xpJI8dgz88LOebEP/0eR16uWSkKIUTEkkeOYPSvf9H5i4qClpZF/YqNBNs9Icdc84vfEvSEfrzoG1I/dpD6MbbCGwaYQP7+4WbqWn3dHrOhvBmrpjBpWAZrdjR0e+y5hw7h+KnR74UjhBBmyT3mCIZe+UNKHn9m73Oq3Y7FoRFsqEMJc99Eb1U12//+MKN/9XOzU+23zBrhGItRknl5edxzzz1ce+21pKenRxRjx44dHHrooVRWdtyszszM5NRTT2XkyJG0t7ezZMkSPv74Y4LBIPfccw+VlZU8+eSTEee8ZcuWvV8PGzasx+MH77OkVVdL/8yZM4ebb76ZU045JeK8hOiKr6qMhg9f6/YYw+uhZeVSbPmDsLk0VMPf5bGKzfHtPtoDtiQXQvQziqKiZRYRrN4Bhv7dC34v1JcT8oidfeilG1DSclFsThMz7d+khpQaUoh9rb/jXgJNLd0e07DsG1SHnZTRI3Bv29rt5/WhV15C9pxDzU5TCCEiln/SCTR9s4qKV1/f+5xqd+CpbyVYszvseO4du9j6wD8Z88v/Z2KW/ZvUj1I/itAMyDto3+xs4NXlpSEd6w8abK1to7gghdp6N+3e4AHHjClM5RenyZKRQoj+Z9RPf0zTN2toWLYSS5ITVQmiGAf+HQtV+f9eJWf+MWQcNN3ELPsxRUHpYn+VcOPsUVFR0ePhRUVFYV/ihBNO2G9pnHAFg0HOPffcvcXkhRdeyD//+U+Sk/dfxn7JkiWcccYZlJeX89RTTzFv3jwuueSSiK6573+LUL7nQYMG7f16z1413/f73/8+olyE6Imh69S+/ETPy+1+y1dZhk9VcRQWYtUCKOqBNyaT55+Hltb96GAhhIg1xWJDzShEr//2M3NzHbibIg+oB9F3rkEdeXDYgyrjltSQUkMK8a3qT76g4s33QjpW93hpWr0RR2E+emsj6Ad+dk+bNoURP/mRyVkKIUT0Rt5yEy0bNtK6cROK1UZbRQPokc+u3fHYM+SfdCxpk8abmGU/JvWj1I8iJANu+XFfQOeuN3veP/b7alu9YNPIzth/dLnTpvHXH87AbpU9bIQQ/Y9qsTDpL3/Amp6MqgY7baqEa9Mf7pYlgKIwc+ZMiouLu330hf/97398/fXXABx77LE888wzBxST0LGkzn//+9+9N6V/97vfEQxGNlCiqem7G+Qul6vH453O796D9z1XiFhoWfo5nm1h7uWk63hKS3HXtRFo33+FIMeUw7GPmGRihkIIYR7VmYKiWjqWG4+mof0to7kGo77MhMwGLqkhvyM1pIgXAbebtbfeFfZ5nvJKfK0+FLtrv+VWrWlpTL7vblSr1cw0hRDCFJrdztg7bkfXVdwVjVE1tAGMYJA1P/stuq/r1c9E96R+/I7Uj4ljwDW1n1m4gx01ke8J2xYIkp7hQLV0/CLdcfZkhuYe+AsnhBD9hbOwgAl33mbazBhPaRkl/3rMlFj93Z6lf8x49HePP/743q9vvfVW1G5Gh86ePZujjz4a6Fgu6Msvv4zoml6vd+/X+xaLXdn3GL/fH/V+Ov3JmjVrWL9+fV+nIboQaGmi/o3nIj4/2NqCu7KO9vpW9GAQLaeIpMNkeSohRP+m5g0H1bzF3fTd6zH83p4PTABSQ3ZOakjzSQ3Zv22+7xHaS8sjO1nX8dY1oRtW9EDHdhAT7rkDR0G+iRkKIYS5kkeOYORPbzQtXsvGzWz/11OmxevPpH7snNSP5ov3+rH//4SbqKS2jScWbIs6jjegY3damT0uh5NnhL88gxBCxFrucfPJmnOYafF2P/cfmtfF75tfX1q6dCm7d+/u9hFrgUCARYsW7f33jBkzejznsMO++3lauHBhRNfVtO9WOYlk0EUiLWF65513MmnSJCZOnMhrr73W1+mI76l79Rn0dnfUcfxNLbirW0g59gIUy4DcBUgIEUcUVUMbOtm8gEE/+u7wV00THaSG/I7UkN+RGrL/alqznh2PPxt1nKC7nYAnSOacOeQcOdeEzIQQoncVX3AWGTN7rglCtfXvj9KyJfqezkAk9eN3pH78TrzXjwPmbpphGNz95jr8QXNGVGQl27j/IvP+OAshRG9SFIXRv/o5S1dcQLAt8tUq9tJ1qt5+l9QJib2vjVkjHPeNUVBQENF+Nb1p586dtO3zc9HZkj89nR+Jfa/jCWFJ+/b29r1f2+32iK7ZXy1ZsgTDMNiwYQPZ2dl9nY7Yh3vDN7StXGxavIzjz8KSlWdaPCGE6E1KciZKzhCMmsje67/PaK7B8LWj2HqeHRHPpIYM/fxISA35Hakh+yc9EGDNL+4EXTclnnPwIKY+eI8psYQQorcpqsqkP/2Whcefje6NfpUew+en4vV3SbnlxyZk139J/Rj6+ZGQ+vE78V4/Dpim9hsry1hR0mBavJ+dOI4Up+xhI4SIH/bcXEb8vxvYfNcfo4pjSUlh6DVX4K8pp+qt18k7+TSTMux/VFVFNaGg7G4Znf6gvr4+qvMbGr57f33sscd63Gvm6quvJjU1db+C0u3ueRbsvgVlWlpaBJn2X7W1tXu/DmWUqogN3euh9uUnTYtnLx5O6pzjTIsnhBCxoA4aS7CpGnztPR/cnbQ8sDrxLnkL+6Gno2iJeztCasjQSA0ZPakh+6eSp16gaY15K5tNuvt2tBCWShVCiP4iadgQRt18PZvu/mtUcWxZGYz8f9fSsHIdpa+8RdEZJ5uUYf8j9WNopH6MXrzXj4n7KXIfDW0+Hvxgk2nx5ozO4ejxMsNGCBF/Cn5wKtXvf0jjsuURnZ8193BSxwyn8j//h+7xYElLI/vIY9CSkkzOVMRSIBDY+3VhYSE33XRTWOePGjVq79d33XVXj6MmzzrrLFJTUykoKNj7XHl5z3vNlZWV7f06Pz+x9pIbPXo0q1evBmD37t2MHj26jzMSAA3vv0KgobbnA0OhqmSfeyVKP/+AKYQQ36doFtQhk9C3LI0sgMUG6QUEtq9Cr68AILB9FdZR8XcDRexPasi+JzVk/9NeXsnmP//dtHiDzjiZnHmHmhZPCCFiZejlF1L59vs0rYps+5n8k4/DlpXF+t/dh+71UvflEgpOnI/mSKxZswON1I99L97rxwHR1F5f0cyV80bwr0+30eYN9HxCN5w2jV+cNC6h1tAXQgwciqIw5rZf8vW5F4W1BJA1I4O8Y4+kZcUSqtZ/1xAPNDVR8fJ/KLr0it5It88pqmJKA0pR+/d7RkZGxt6vDcPglltuicl1J0yYsPfrkpKSHo/ft1CNt4KrJ7fffjvnnHMOAD/72c945ZVX9tvvR8Set7IcS+EwHCPH49ka/UybtHknYh80NPrEhBCiD6ipORhZRRh1peGdmJJNsLac4Nb39nvav3ExliETUGwOE7PsP6SG7F1SQ35Hasj+p2nNekbeeA1bH/wXwfaelzftjjU9jXG/ic3vlRBCmE21WJj0p9/x5SnnYfhD78k48vPIPuJwKt75CH9D497nPeWVlDz9PCOuvawXsu17Uj/2LqkfvxPv9WPCTxUpqWvjtjfW8vKqcq48agTzxuZEFe+6o0aRny5L/ggh4pezqIhh110T8vEZM2eQVJRF/cfv4m84cImYylf/i6+2xswURYwNHjwYi6VjnFtFRQWlpT3fsG5pacHbycCIkpISDMPo9jF06NC9101PTwdg48aNtLS0dHvNr776au/X06dPD/G7iw9nnnkmL7/8MpmZmbz11ltMnz6dhx56iOXLl1NfX49u0n58InTl/36CHffcgdejkHbsmaiuyFeksGTmkHHcGSZmJ4QQsacWjQdLiDNjLHZ0NHxrFhKs2Hbg6z4P/k0RzvwW/YbUkH1Pasj+pXHVWlZecxO7n3uJUT/9EdlRzrAed/st2LMyTcpOCCFiL2XsKEZcd2XIx2cdNgtDUdn13H/3a2jvsfXvj+Pr5HkRP6R+7HvxXj8mfFP7yS93oBtQ3+bj8S9LKG/z8cO5w8lJDX+ZivGFqZwza3AvZCmEELFVdN45pEyc0O0xtqxM0ieNxrt9Pb6Ksi6P071eyv79f2an2C8ommraoz9zuVz77aHy/PPP93jOxRdfjNPppKioiCefjHzP4ZNP7tgPKRAI8MEHH3R77DvvvLP362OPPTbia/ZHJ554Io8//jjDhw/HMAzWrl3LjTfeyMyZM8nJycFqtaJpWrePPR8KRPTcWzfT9NVCAJoWLWD3k4+j5I7EOT6yDzLZZ1+Oak/M2YhCiIFDsVhRB0/s8ThDs+ErWU+gZC1gdHlcYOtydHeziRn2H1JDdk1qSHNJDdm/7Fl23FNeyeY/PoC3opJhV16ENSujhzMPlHXowRSdfarZKQohRMyNuP5KkseM7PYYe14uzqFDqVnwFe2lXS8NHWhuYevfHzc7xX5B6seuSf1ornivH/v3T3iUNlQ28/mW/fdBLG/y8L9vysjNcnHE+DxCXUVcUxV+feoEtH6+fIMQQoRC0TTG3v5rlC7egJKGFaMZbnwVu0OKV/Phe7hLdpiZYr8wUApKgEsuuWTv1/fee+9+e8d836JFi3jjjTcwDIPy8nJmzpwZ8XXPO++8vV/fdddd+P3+To/773//y5o1awCYOHHifgVwInjvvfd4//33WbZs2d4tTnoabdrZQ5ij4vmn9n9C12lY8AnVH3+GNngCamroNyaTpx+Ka+wUkzMUQoi+oWbko6R3vqecoWr46yrxb1sFAV/PwfQg/vVfmpxh/yA1ZOekhjSf1JD9R+2XS6hb+NV+z7Vt28HOp57DVZhPzpGHhRxLtduY9MffyNaHQoiEoNqsTPrTHdDZ0tqqirN4EO3lVbRtC+2+4s7/ewH3rjC3xIkDUj92TupH88V7/ZjQwzEf+6LrP4QldW5KcDNxaCZNLR521bq7jXXBIUMYW5BqdopCCNFnkkYMZ8iVl1Hyz8f2PmdJTcGiBTBaasPbg0XX2f3kY4y58+5eyFTEwqWXXsp9993Htm3bqKur45hjjuGVV15h3Lhx+x23bNkyzj777L3Fy1lnncXEiT3P2urKiSeeyOzZs1m8eDErV67kkksu4cknn8Th+G5W6xdffMEVV3y3b/sdd9wR8fX6q8GDB8tNq36iZc03tKxa0elrht9Pw8IFqE4nyWPGYNTvprv/a6oriawfXNw7iQohRB9RB08k2FIHwe9uAgXdbQRrdkOYNzeCO9ehj5yBmp5rdpoiRqSG7FtSQ/YPhmGw+d6/dfl6y/qNAKRPHoe3vpH20opu4438ydUkDRtiao5CCNGX0qdOYtgVF7HjsWf2PmdJS8XX2ExbSXgNat3nZ9OfH2La3/9odpoiRqR+7FvxXj8mbFN7xa4Glu9q6PG47XVtAIwuTmNnZQte/4HrxRemO7n6yBGm5yiEEH1t8KU/pObDj2nbvgNrsh2L1R/xm1rT0q9oXrWS1CnTTM6y7yiKitLZSNII4vR3TqeTl19+mXnz5tHS0sLGjRuZPHkyJ554ItOnT8fr9bJy5Uref//9vcXk0KFDeeSRR6K6rqIo/Otf/+LQQw+ltbWVF154gYULF3LWWWeRkZHBsmXLePvttwkGgwBceOGFnHnmmVF/v/1NSUlJX6cg6LghWfFcz0tZ6e3tNH/zDVpyCo6cdNRAW6d/O7NOvRAtJa03UhVCiD6jWO2oxePRS1ZhBIMEqnZh+DwRx/OtXYDj8LNMzLDvSQ0pNWSsSA3ZP1S9/wlNq9b2eFzzuo7mdsqoYbTu2IURCB5wTPLoEYy49jLTcxRCiL426qfXUfn+J98uL67gq2+KOFb5a+8w/KofkjZ5vHkJ9jGpH6V+jJV4rx8TsqltGAaPfrE9rHPKmjxYnFay0i1U1Lkx9O9GmP/y5HE4bQn5n0oIMcCpFgtDrryUbX+8C80a/Qit3Y8/yvgHHzalCOsPFE1F1TRT4sSDadOmsWjRIs455xw2bNhAIBDgjTfe4I033jjg2NmzZ/PSSy+RnZ0d9XUnTZrEO++8w9lnn01VVRW7d+/m/vvvP+C4iy66KKq9c4ToSdPSxbi3bAr5+GBrC22tLWgpKdicGha7ure57Rg5nuSZ83orVSGE6FNK5iCCm5YSrAjvc3dn9KoSglU70fISZ1ai1JBSQ4qBwwgG2XLfQ2Gd07a9BEVVseVk4q2p3++1SX/6LarNamaKQgjRL2hOJ0OvvJh1t5qzyuOGu//KrBcei+sZp/uS+lHqRxGahOzULtxay4bKlojObfIGSEqxQdCgrc3HsRPzOXRUjskZCiFE/5E7fz7Ny76i/vNPo47VtmUT9V98Tta8I03ITPSFiRMnsmbNGl566SVeeeUVvv76a6qrq9F1nby8PA4++GAuuOACfvCDH6CaOHhhzpw5bNy4kYceeojXX3+drVu30tbWRk5ODrNnz+bqq6/m2GOPNe168WLbtm1s376d+vp6VFUlPT2d4cOHM2KErCBjNiMYpPL7e2mHKNjSQnsLaElJ2JwK1pQkss++ImE+XAshxPcpioJ1/GGmNLUBfGs/x5F7sfzdjGNSQ/YvUkPGTtmrb9O6JYK/hbqOv74BzaZhKBq618fgi88h86CppucohBD9xdAfnkf1h59T89mXUceq+3IpNZ99Se6Rh5uQmegLUj/2L/FSPypGX+7o3QuCusHlz3xNSV33e2SHwqap/Puyg8lPc5qQmRBC9F+e8jLWXH0ZRiAQdSx7fgGTHn0K1WYzIbPYKy0tpbi4GIC1f7yeQRmpUccsa2hm4i8fBmD37t0UFRVFHVMkroaGBu6//36efPJJKio6328vJyeHCy64gF//+temjFQVUP/ph+x66C+mxMo6+hiKr/uZKbGEEKI/8379DsFd602JZTv4RCyD43cJSakhRV+TGjL2gl4fC446FU9Z93tkh0JLTuKIhe9iS5eta4QQia15w2a+OO5sMKEtlTJ2FHPeewnFhBnOfUHqR9HX4rF+jI+1CMLw4YYqUxraABcfMlga2kKIAcFROIjck081JZa3soLqd940JZYQA83ChQuZOHEid911FxUVFRiG0emjurqaBx98kMmTJ/Ppp9GvsjDQ6X4fFS/+25RYlrR0Ci/7sSmxhBCiv7OOPwxUc24i+tctxAhGP8BSiIFIasi+sfv5l01paAOMvuXH0tAWQgwIqeNGU3SWOfcgWzZuofR/b5kSS4iBJl7rx4RaftwX0Hlq0Q5TYmW4rJw1XUaxCCEGjsLzL6b2g/cJutuijlX23L/Jnn8clqRkEzLrO4qqmrIXTaLsMS561/LlyznuuOPweDzsWUgnKyuLKVOmkJWVRTAYpLa2ltWrV9PY2IhhGFRWVnLSSSexZMkSJk2a1MffQfyq+/Bd/DVVpsTKO+sCNKcMihRCDAxqUhqWEdMIbFkWdSzD3Uxg20qsow82IbO+JTWkiCWpIftGoLWNbQ89Zkos56BCis8/y5RYQggRD0bfcj3lb7yH7vVGHWvzn/9O4SnHoTkdJmTWd6R+FLEUz/VjQjW131hdTmVz9H8IAS6eNQSXLaH+8wghRLesaWkUnHs+pU89HlUce0EhhedfhHf3Dixj4/sGiaKqphSDUlCKngQCAc4991za29sBmD59Ovfeey9HHXVUp8d/+OGH/PrXv2b58uV4PB7OOecc1qxZg8UitUu4gu3tVL38nCmxbLl5ZM0/wZRYQggRL6xjDyFQshb8nsiDKAra0MkEsaL5vKg2u3kJ9gGpIUWsSA3Zd0qefBZfXYMpsUb99Do0e3xu3yWEEJFwFuYz7MqL2PbwE1HFSR41nBHXX0Hz+g1kzJhmUnZ9Q+pHESvxXj8mzE+42xfg31/tNCVWfqqdUyYXmhJLCCHiSf4PzsSWnRPRuZa0NAZd9ENyj5hN/WtPUv7PP6P7zBloJESie+aZZ9i+fTuKonDiiSeyePHiLotJgPnz57N48WJOOukkADZv3szzzz8fq3QTSs3brxJobjIlVv65F6Na5YakEGJgUWwOrGNnRXy+WjAChkyjddUyml57As+ar0zMTojEJjVk3/A1NLLjsWdMiZU8egSFPzjRlFhCCBFPRlx3OdaM9IjOtefmMPrm68iaNZWNv7uLtT+7DT0g29gIEYp4rx8Tpqm9o7YN/dtp8tG67NBh2CwJ859GCCFCptrtDPrhZWGfk3PccWQfMo2Wz1+n6YsPMXw+gq3NNC3+rHcSjRFFU017CNGd1157DYC0tDSeeeYZrFZrj+dYLBaeeeYZ0tPTAXj55Zd7McPE1V6y3ZQ4juIhZMzp+kOAEEIkMsuIaSiu1LDOUdLzMLJH0LJyGS0fv0qgphwA9/LPMHS9N9KMGakhRaxIDdk3mtdvMi3W6Jt/jKJppsUTQoh4YU1NYdSNV4d1jpbkoujcH5A+ZSwl/3qMitfexPD78VRUUv3+x72UaWxI/ShiJd7rx4T4CfcFdF76poyr5o7ggpmDcVoj/7aGZrmYPy7PxOyEECK+ZB89H+fQ4T0fqKqkzZhOxpTReNctxr1uBXxvcFHDB6/H/U1JIWJh5cqVKIrCaaedRmZmZsjnZWRkcNppp2EYBsuXL+/FDBNT2YsvEvCpFF5xA65RY6KKlX/+pXJDUggxYCmaBeuEw0M72JlK0JVD8+pvaF3yCXpb834vBxtr8W5Z3QtZCpF4pIaMvUBrG7ueeIKxv7yBoVdehGqPfLuEtKmTyD32SBOzE0KI+DLk4nNxDS7q8TjFopEzdzapowZT/fbbNCw+cGWfkqf+vXdvYCFE1+K9fkyITXMW7ahjY3UrG6tbcVk1zjyomMZWL++vr8IfDO8P2ZWHDUNTlV7KVAgh+j9F0yi+8mo23/bLLo9xDR+G1RrAqNqKv5tYvqpyWlcvI2XqTPMTjQFFVUwZ4ajI+4roQW1tLQCjRo0K+9w959TV1ZmaU6LTAwHKX3wJX3U11e+8S+qUKWQefwZta77GW7Y7rFiuUWNJmzm7lzIVQoj4oBWPQ9myDKOxuvMDLHYCQZX2dWsPGAj5fe6vP8YxZqr5ScaI1JAiVqSGjL3KN9+iefUamlevwZKWxrDLz6G9qp6K19/DCAbDijXm5z9BUeT3XAgxcKk2K2N+8RNWXv/zLo9JHTeKYGsTTSuWdRurZd0GGr5eQebMGWanGRNSP4pYiff6Me5nahuGwbsbqvb+2+0P8tHmGpZXNHPEuDwOG5lNqL/H4wtSOHxkdi9lKoQQ8SNtxsGkTp1+wPO27CySijKx+Oow2kLbg7b+g9fNTi9mFFU17SFEdxwOBwCtra1hn7vnnKSkJFNzSnT1ny/AV/1d46V51Sp2/9+ztJU3kjT1ULTM0GvCggsvkxuSQogBT1EUbJPmdfKCSiAALZu30L51Y48NbQB/eQm+MnO2h+gLUkOKWJEaMraMYJDSF79bbjPQ1ET5y/+j4csFFJw4j5wjQh/kmDXnELIOjc/B30IIYaaCk48lbcrEA5535Odiy0jCs7sEf0NDSLF2Pv2s2enFjNSPIlbivX6M+5/wDVUtlNS7D3jeMGBNRTPbGtxMGZrBlMHpPca66vDhckNSCCHouClZfMV3+9poSS6c2UnY7T40AmHFat+8jvYdW8xOUYiEMmTIEAzD4NNPPw373D3nFBcXm51WQivvYv8fb2UV1e9/ROuOaiyFo1Ac3RfqKVOmkzJpai9kKIQQ8UfLHYKaN3TvvwMeP607dtG+c2dIzex9ub/+xOTshEg8UkPGVt2Xi/CUlh34QjBIw+KvaF27iqyDx5M+dXyPscb87Ce9kKEQQsQfRVUZd+tNe/9tSU7C4rISbKkHvy+sWLWfLqBt+w6zUxQiocR7/Rj3Te19Z2l3paLZS1Wbj+H5KYzKT0btpHF90JAMpg/O6I0UhRAiLiWNGk3a1MnY0+y40jWsDi3igT/xOltbUTXTHkJ054gjjgBg6dKlvPnmmyGf98Ybb7BkyRIUReHII2U/vlC1bNhAy9q13R6jezw0rVxF684adEcWOpZO9+cquOCy3kpTCCHikmX0TALtXtp2ldNeVh72crx7eDevJtBQY3J2sSE1pIgVqSFjq/Q/L/V4jHtHCd7SElKG55Myshg6+Qidf+J80iZP6IUMhRAiPmXNPpi0iWPR7CqK4UVVifge5M7/e97k7GJD6kcRK/FeP8Z1U7u6xcvXu0JbegI6liZv8evkZzkpzk7Cavnu27/q8GG9kaIQQsS1Idf/P+wp9qhXsWhZvghfbc+DkIQYqK655pq9v2cXXXQRb7/9do/nvPXWW1x88cVAx4e9yy+/vFdzTCQVXczS7kr7zt20VzXj81rxew0MvaO5nTZ7Dq6Ro3sjRSGEiFuW3MEEHVnofn+UkQzcy8KfPSDEQCI1ZOy0bt1G49Lu93PdV6C5mUBjHa7cFFyDslG0bz9Tqyqjfnp9L2UphBDxa8IffoVmjXxCzR4Vr7+Nr67epKyESDzxXj9a+uzKJvhgY1W4K5gBoBugY5CV5kAxoDjVztj8VPMTFEKIOOcoHopr/BTc61dFF0jXafjoLfLOu8KcxGJFVcGMEY6yn43owbhx47jmmmv45z//SWtrK6eeeirz5s3jzDPPZOrUqWRmZqIoCrW1taxatYr//ve/LFiwAMMw9haTkydP7utvIy74amup/SSyJkmgqRkAv9WKxa6Qf+7FZqYmhBAJI+ngo/BtXxd1nPa1S0g+/CRUZ5zt+Ss1pIgRqSFjp+zF8AZF7mEEgxB048hwgmohbcZBJI+UiTVCCPF96dOnkjp5As2ro6shda+X3S+8zIgfX2NSZjEi9aOIkXivH+O2qe3xB/lkS/RLkRkKXDJ7aPQJCSFEgso89gfRN7WBpi8+JPvUc9FcySZkFSOqak4xKAWlCMFf//pXduzYwfvvv4+iKHz++ed8/vnnXR6/ZynsI488kocffjhWaca9itdewwgEooph+P2kzDoMZ/EQk7ISQojEYh08CktuEYHq0ugC+X20f7OQpNnHmZNYrEgNKWJIasje529souqdd6MPZAQZccPV0ccRQogEpCgKQy69iDU//VXUsXY//xJDr7wEzeEwIbMYkfpRxFA8149x+xO+YFstbb7I9uba19i8FCYWppmQkRBCJKakCVOxDxocdRzd66FxwYcmZCREYnI4HLz11lvcdtttJCUlYRhGt4+kpCRuvfVW3n//faxWa1+nHxd0r5eq1143JdagCy80JY4QQiQiRVFwHXyUKbHcKxZgBKJdylyIxCU1ZO8rf+11dK8v6jhZhx9K6vhxJmQkhBCJKXf+UTgGFUYdx9/QSMUb75iQkRCJKZ7rx7icqa0bBu9uMGdv1hPH5ZkSRwghEpWiKGQcexqVT/096lgNH79F5jEno1ji5OaJqqFoZiz9Y0IMMSBomsadd97JjTfeyJtvvsknn3zCjh07qKurwzAMMjMzGTlyJHPmzOGss84iPT29r1OOKzUff4y/sTHqOMljx5IycWL0CQkhRAJzjJ1O64I30Fsao4qjtzXj2bAc56RDzEksFqSGFDEmNWTv0QMByl/+nymxBp13jilxhBAiUakWC0N+eD6b7rkv6lg7n3qWQWf9ACVeZi5L/ShiLF7rx7hsaq8ub6K8yRN1nOwkGwcNzjAhIyGESGypM+dS88qzBJsaoooTaKijZfliUmfNNSkzIRJTVlYWl156KZdeemlfp5IwDMOg4uX/mhKr4OyzUBTFlFhCCJGoFE3DNeMIWj97LepY7mWf4pg4S/72CtEDqSHNV/vpZ3irqqOO4xo+nIyZB5uQkRBCJLbCM09j20P/ItDSGlUcd8lOar9YRM68w03KTIjEFG/1Y5wMU9nfu+vNmaV93Lg8NFU+FAshRE9Uq5XMo0+KKoZ90GDyLrwai9NuUlYxoGrmPYToxuWXX87ll1/OBx98EPa5zz77LNOmTWPmzJm9kFniaF61irYtW6KOY83KJPsoc5bUFUKIROecciiKLYq9DC1WnFMPxz7tSHyVUe7PHUtSQ4oYkRqy95W+8JIpcYrOO1sG5gghRAgsSUkUnXtmVDFSxo9l3O9uRdHjaAsbqR9FjMR7/Rh3M7XLm9r5pqwp6jh2i8pRo3JMyEgIIQaG9LnHUfvWyxg+b1jnucZNJnn8JPSmGtxfvo07GMA6aCjWrDjY/kFVzSkG42WpI9Fnnn76aRRFYeLEiRx77LFhnVtWVsaqVavIzMzspewSg1mztPN/8ANU2X9SCCFCotqdOCfPxr3s0/DOc6VgGz0Vf5uXugWfE6irJvXQo8i7+LpeytRkUkOKGJEasnc1r99A8+o1UcexpKWSd+LxJmQkhBADQ/FF57Hz6WcxAsGwzsuaexgZ0yfhKdlK6WMPYRgGqZMmYcvO7qVMTST1o4iReK8f4+4nfHdDO05r9GnPHZFNsj3uevpCCNFntOQU0g8/JsSDLSRPnkHmkfOxBFpoX/oR3k2rIBgAoH31kl7MVIiBZd26dQC0t7f3cSb9lx4I4K2piTqOYrWSf9ppJmQkhBADh+ugI0AJ7TO8lpGDZehE2tuCVL/6Eg0fvE6grmPZ39YVX6GHObhSCNE1qSF75t6+HdURxWoT3yr4wWloJsQRQoiBwpGXS/5JoQ0GUm02co6cw6DTjyNQtoXKF5+lcclXGMEg6Dq1n37cy9kKMXD0h/oxrrq6Ad1gY00rlx0ylEa3j08211DZEtmH2uPHxcEMQSGE6Gcy5p9Cw6fvgqF3+rrqcOEaPgJV92A0lOJv6HyZSPeaJaQccUq/X35NUVUUE0Y4mhFDxL9gMMhNN91Ea2vX+0K9+OKLrF27NuR4JSUlLFy4EEVRKCoqMivVhFP24ivYBg1lyDHzaV27mrrPF0AwvBHfADnHHI1NZjMJIURYtNRM7GOm4t24ostj1PRc/O1+mr9ZC/rqTo/RPW7a1iwnZcahvZWqaaSGFGaSGrJvBNvdtH3zJWN+/mPaqxupeP0tvBWV4QfSNAadHd0yukIIMRANufQiKl5/u8vXLakppI4bhd5SS/vGlXTVYqv58AMKzz63d5I0kdSPwkyJXD/GVVN7a20rW2rb2FLbhgJMKU5nrt3C+opm1la2hBxncmEqRenO3ktUCCESlC0nn5Tps2hZvni/57XkVOxZ6aiBdpSWaowe4gQbavGVbsdePKL3kjWDYtJeNIrsZyNA0zSGDRvGzTff3OmADsMwWLZsGcuWLQsrrmEYKIrCeeedZ1aqCaf0pf/RtnU7APa8XLKPmI+qGTQsXkSwJfQasuDss3srRSGESGhJBx99YFNbUTDsKbTvLiOwoyKkOC1LFsRFU1tqSGEmqSH7RvOyr2hdvZLW1StBVck9ZCqWzKOoX7GWppWdD77pTM6R83Dky8QaIYQIV8rY0WTOnkX94v1Xe7RlZmDPSEJva8C3a3OPcdxbt+LesR3XsOG9lao5pH4UJkrk+jGuhm2sLm/e+7UBbK9zs7K8mQBw9JhcDhmaid3S87d04vj83ktSCCESXOaxP9j7tSU1FUd2Os50B5ruDWs0oCxBLgaiG2+8kSlTpmAYxn6PPb7/fCiPPcXkbbfd1offWf/VumXr3oY2gLeqmrL/vsbuF18nELSSPPUgbAWFPcZJnTKF5NGjezNVIYRIWNaCwViLR3b8Q9XwewK07KykZcMmAt3MHvi+tnUrCbQ09VKWQvRfUkPGXsOXn3/3D12nddUKGj99B81dwaCT5pIzdxaKzdpjnKLzzunFLIUQIrENufyivV/bMtNwZDqx2nwY7sawVn+s+eij3khPiH4tUevHuJmp7QvqbKzufCZN0IBdjR0LTAzPSSbFrrGrvp2qZs8BswULUh1MGZTWy9kKIUTico4Yg7O4GLytaDZrxEuIu9ctI+34c1C0fvxWpKrmjJKUpX/Et1RV5e2332bLli17nzMMg6OOOgpFUbj22ms555yeb3wpioKmaaSmpjJkyBBSU1N7M+24VvnOh12+5ikrx1NWDoBjUCHWZAe+yjJU9cC/awVnn9VrOQohxEBgKRpNyzcr8LW4wehpXZ8u6EFaly8i/YgTzE3ObFJDCpNJDRlbgdYWWlYt7/Q1w+/HvaFjpnbGiEwsGbm0bCujvar+gGOTx40ldcrkXs1VCCESWdZhs3EV5WG0N6PZgkBk9VXtxx8y+Ior+/fS3FI/CpMlav3YjzsJ+9tc3Yov2PMH34Bu0NAeIMVpJSPJRiCoU9bYjtvXsW/i8ePyUPv5Hq5CCNHfZZ14Jk3vvBBVDKO9Dc+WtTjHTjUnKSHiRGFhIYWFnc8MHjFiBPPmzYtxRonLMAyq3n0/pGM9ZeV4vv3alp0JvnYURUdVFex5eWQdfnjvJSqEEANAyuxjqHn9pcgb2t9qWbKg/ze1hegFUkPGTtOSLyEY7PE4w+vFX7kbRxI4x+YRDKq0ldYQaA8AHbO0Ix0ELoQQoqOZNvSyC9j1+GNRxfFVV9O8ehVpU6eZlJkQ8SER68e4aWqvrmju+aDvCegGKAqDMlwoQKvXzxEjs81PTgghBhjnhINoeu9F0PWo4rjXLOnXTW1FVU0ZxdmvR4KKfuGpp54C4OCDD+7jTBJL89r1tO8uC/s8X+13M20sLgd5c+aiWOKmbBZCiH5JsVhJOegwmj5/L6o4npIt+KorsOUWmJSZ+aSGFLEiNWTvaPzys7DPMXxeVCClIBk0C752g9z5R5uemxBCDDTZR8+PuqkNUPvRh/26qS31o4iVeK8f4+LunMcfZHNN6PtsdcYADh+WjcNqwhIOQggxwGmuZByjJuHZtCqqOJ5Nq9E9blSHy6TMTKZqJi39I+89onuXXHJJyMdWVVURDAa7HGkpvlP17gdRxwh4fAw652wTshFCCJEyc27UTW2AlqULyDr5XBMy6iVSQ4oYkRrSfP6GelrXrY4uSDBAwamnotps5iQlhBADmD0vj9QpU2le9U1Uceo+/4yhN9yIZrebk5jZpH4UMRLv9WNcDNvYUN3SMes6SrKXthBCmMc1aVb0QYIB2teviD6OEAnkhRde4IgjjuDnP/95p68/99xzFBcXM2vWLF555ZUYZxc/DF2n6r2Poo6TOXMGzsL+OxtQCCHiiWPYKKw5+VHHaVn6BUaUy5gLkWikhjRH41dfRL1NAkDm3KNMyEYIIQRA9jHzo44RbGujcfEiE7IRInHEY/0YF03tNREsPf59yTaN4Vn9dCagEELEIceYySh2R9Rx3KuXmJBNL1HV70ZKRvWIi7db0cfa2to4/vjjueiii/jiiy9Yt25dp8dt27YNwzBYtmwZZ599NhdffDHBEPb8G2gaV3yDt6o66jh5JxxrQjZCCCGgY1/ElJlzo47jr6nEs2OzCRn1EqkhRQxJDWmuxkULoo5hyyvAOWK0CdkIIYQAyJo3D8Ua/eoXNR99aEI2vUTqRxFD8Vw/9vuf8DZfgK21bVHHmViQiqooJmQkhBACOvZFdI6fEXUc387NBBrrTMhIiPh23nnn8cEHH2AYBoZhUFlZ2elxw4cPZ+TIkXuPe/7557n++utjnG3/V/VO9EuPKxYLucccaUI2Qggh9kiZOceUOC1Lom88CZEIpIY0j6+mCvem9VHHST9sHorcgxRCCNNYklPImD076jiNS77C39QYfUJCxLl4rh/7fVN7XWULJqw8zqSC1OiDCCGE2I9r8iGmxGlfs9SUOGZTVA1FM+Eh+9mIHrz99tu8/fbbKIpCcnIyTz75JIsWdb4s1s0338zmzZt57733KCgowDAMHnvsMb766qsYZ91/6f4AVR98HHWcrMMOwZou29cIIYSZbLkFOIZHP4OxZfmXGAG/CRmZT2pIEStSQ5rLjFnaAOmHzjMljhBCiO/kzD8u6hhGMEjdZ5+akI35pH4UsRLv9WO/b2qbsfR4msNCcbrThGyEEELsyzZkJFpaZlQxrEXD0NKzTcrIZKpq3kOIbjz99NNAx7KsH374IZdeeil2u73bc4499ljee+89LBYLAP/61796O8240bDka/wNjVHHyTtRlh4XQojeEO0S5GpSMikzDiPodpuUkcmkhhQxIjWkuRoXfR51DEfxUJyDh0afjBBCiP2kz5yJJTW6Qecpk6dgy5Z7kGJgi/f6sV//hDd7/JTUR/8hdZIsPS6EEL1CUVSck2aGfZ6WkUPy7GPIPPU8UkaNQN/4KXpro/kJChEnli5diqIonHrqqcyaNSvk8yZNmsSpp56KYRgsWCDLsO5R+W70S4+rdjs5R0a/76sQQogDpcw4rGPPvzAoFitJU2eSdtxZ2MbNpnbRMsqefbp3EhQiTkgNaR5PeSntO7ZFHSf9MKkfhRCiN6hWK1lHhr89mHPwYAaddx4jbryOzLGDaPjf4wRbW3ohQyHiQ7zXj5Y+u3II1la0YMLK40yWpceFEKLXuCbPonXhez0epzqTsA8dhS0jDdoboGYDwZrvXg9WbEMdFf0e3aZStbBvuHYZR4huVFVVATB16tSwz502bRqvvPIKFRUVJmcVn4JeL9UfRb+cWPYRc7AkJZmQkRBCiO/TklNImjiNttXLejzWPngESmoWnqo6Kj9YgOHz7n0t6HZjGEb/27tWakgRI1JDmqfxy+hnaYMsPS6EEL0p55j5VL3+Wo/HWTMySJ00EWdmMoGa3XhXfox3n9fdG1eTctBhvZZnRKR+FDES7/Vjv56pPSjdwSnj8xie5SLSj6hZLhsFqQ5T8xJCCPEda04h1vzizl/ULNiLhpA8bhzJRZnY/DVQvRVa6g44NFAR/ah4IeKVpnV86PB6vT0ceSC/v2M/UavVampO8cpTWc2YW3/OoPPPxpYV+fYI+SfMNzErIYQQ39fdEuRaWgZa7mA8Xhs1i1ZQ/d6HNK9csV9DG8BXXYm3oqy3UxWi35Ia0jwp48ZSeNk1JI2bGHEM54hR2PMLTcxKCCHEvpLHT8BeOKjT11SbjZRxY8ieOYnUPBtK1UY8G5YRqK064Fj3+m96OVMh+q94rx/77Uxtf1Dn8+0dTY+8VAfj8lJw+4Jsq21jV2N7yHEmF6b2v1HbQgiRYFyTD6Gpcvfef1syMrG6bFhtCooWAH9zjzGClTswdB2lH+39oqgqigkjHPvT9yT6p2HDhrFhwwY+/zz8GSJfffUVAIMGdf7BbqDZ9e8X2fnUc9hzssmYNQNnQR7e6mrqFy8h0BzaEmNaUhJZcw7t5UyFEGJgS5p8EKrDhe7p2HJMsdoJGhbcFdXopU0hx2lesQxHYVFvpRkRqSFFrEgNaY5gaxON/3sUVJW0IcPImvVDfE1tNK1eRfu2rSHHyTjsiN5LUgghBIqikHPMfEqfeXrPEzjyc7DZwWINour10ESPEyTdG1b1u9V+pH4UsRLv9WO//QmvavViAAZQ2+Zjc20bpc0enHaN2UMzmTk4g0FpPc/AnpQvS48LIURvc4ybjuZ0Ys9KJWVIHklZTmxODUUL423G70Wv62czbRQVVBMeSr99uxX9xJFHHolhGCxevJh33nkn5PMWLVrEhx9+iKIoHHHEEb2XYBypX7wUAG9NLZVvvc+Ox56h/PX3UOwu0mceTOrkSah2e7cxco6eh+aQlX6EEKI3qVYblsIhBLw6bTVtNO2oprWkHN0bCCtO84rlvZRhFKSGFDEiNaQ5vDs2dXyh6/h2b8P99WcENn9NcrJBwXFHknv0EbiGDO4xTtrsOb2cqRBCiKw5c7AkO0nKSSJjeAbJqQY2u4EaRjM30FiPr6K0F7OMgNSPIkbivX7stz/hFc2eTp/XDah1+2jw+HHZLYzLT2FSYSqD0hzYvtc8yU+xk5vS/U1LIYQQ0bOkZ5I6aSKOjBRUa+SLgMgS5GKguuKKK/Z+ff755/Paa6/1eM7HH3/M6aefvnd08ZVXXtmLGcYHb209LRu3dPpa++4yahcspn7pSnxNbVgys7EXFICiYRjGfsfmn3hsLNIVQogBL/WwY3HXtBAMs5G9r5Y136B/uwyeEAON1JDm8O7Y2OnzRsCPv3QbeuV2XMmQM2002bOmkjSkEM22/+fepHETsWXlxCJdIYQY0FwjRpIzbRTOTBeaJfKZzbIEuRio4r1+7LfLj1e0hLaee0A3COgGLruFIXYLqgJuX5Cmdj/j81J6OUshhBB7aAXD0evLo4oRrNgGk48wJyETKKpm0tI/0ccQiW3q1KlcdtllPPXUU7S2tnLmmWcyadIkTj75ZCZMmEBGRgYAjY2NbNy4kffee4+vv/56bzF5xRVXMH369D7+Lvpe/Vdfh3ysp7zyu3+oKtYUF0G3G2tyEpmHzOqF7IQQQnxf6pTpHTNKdD3iGLrHQ9vG9aRMmmJiZtGRGlLEitSQ5uiqqf19hs8DPg/OZAvOUYWgWfG1tONtaCJtlmxdI4QQseIaP5Wm6oqoYrg3rCLjmFNMyih6Uj+KWIn3+rFfNrU9/iAN7ZGNtNYNcFg1HFaNsbnJJmcmhBCiK5bCEfjXLYwqhl5XjuFtR7E7TcpKiPjx8MMPs3v3bj766CMA1qxZw5o1a7o8fs/s4hNPPJGHH344Jjn2d3WLlkZ2oq7jb+rYbztl0sSoVpwQQggROi0piaQx42jbsC6qOM0rl/WrprYQsSQ1ZHQCDTUEG+siOznox+ayYHNlkTrtIHMTE0II0SXX+Ck0ffZuVDHat6xH93lRbbLSrxh44rl+7JfLj1e2hjZLuztOq0ZBquyFKIQQsaJmF4HFFl0QwyBYucOchMygqqBqJjz65dut6GccDgfvvfce9957L7m5uRiG0e0jLy+P++67jzfffBOLRZqwAHWLI2xq76Pg1BNMyEQIIUSoUqfNiDpGv9tXW2pIEUNSQ0Zn737aUbBkF2AvKDYhGyGEEKFwjZoAWnTvYYbfR/vWDSZlZAKpH0UMxXP92C+r16720w5HQYodRVFMyEYIIUQoFFVDyx9GsDS6mwKBim1Yhow3Kasoqao5xaAUlCJEqqpyyy23cPPNN7N48WI++OADSktLqaqqIhAIkJ6ezvDhwznssMM45phjsNmiHEiSQNyl5bTvKo06TtbsmSZkI4QQIlRp0w+i4vlnoorh3rYFf2MD1vQMk7KKktSQIsakhoxcqEuPd8c+bIwJmQghhAiV6nDiHDGG9s3Rrfbj/v/s3XecVPW9P/7X50zd2d4LsPReFFBxVbBARIygYosRItGrplxzzTXGnyVRY4zXaNo3xitXE8EYTVQUCYgdEQRBikhfOuyyvc7u9HM+vz8GFla2zOw503Zfz8dj4jBzzpv3Eth9zfmcz+ezexuSx5xtTFN6MT9SlCVqfozPQe0Q99PuSmEqZ2kTEUWbuXCo7kFtteJA2x4dRH2VEAIXXHABLriAe/OFqt6AWdrJQwbBXpBnQDdERBQqx7ARMKWkQm1x6qrj/Gorsi65zKCuiBITM2R4pJQGDWqPMqAbIiIKh2PM2foHtXdtA64zqCGiBJVo+THubtto8QXg9AZ01ylM414IRETRZiocoruGdDVDNtca0I1+QjFBmAx4KKZYfylEvV6P99M+TfYFnKVNRBRtwmRC2lkTdddp2rrJgG6MwQxJlBgC1cehteq7oQZCwDZohDENERFRyByjz9Jdw3f8KAKNdQZ0ox/zI1Fo4m5Qu7JZ/yztNJsZyda4nIRORNSrKalZECn6l30MVBw0oBsDGLKXzYkHUQ9omoaqqirs2bMHdXV17V6nU6SUqF//pe46WRzUJiKKibRJ5+iu0bx1M6SUBnRjAGZIijFmyNAYMUvbUlgMJSnZgG6IiCgctv6DYEpJ013HtftrA7oxAPMjxVii5Me4G9SucOrfT7sglbO0iYhixVw4VHcNteKAAZ0QJaZAIIDFixdjxowZSEtLQ1FREcaOHYvFixe3HVNSUoKbb74ZO3bsiGGn8aNl30F4a3Su8CAEsqboH1QhIqLwpU2crLtGoKEe7sOHDOiGKDExQ4aPS48TESUuoShwjNE/W7t111f6myFKUImYH+NqOrOU0pBB7cI07qdNRBQrpsKh8O/rwfKPigJT7gAoBUNgysyH1DQIJcb3XimKMXc4xvrroISxc+dOXH/99SgtLQWAthln39xjfteuXdi0aRPeeustPPXUU7jnnnui3WpcqVu3QXeNtDGjYM1IN6AbIiIKlzU3D/YBxfAcOxr+uXn5SJt4DhzDRyJeJmozQ1K0MUOGT2oqvEdKddfhoDYRUew4Rp8F58Y1YZ8nzBbYh42GY9R42AcUQ0p5xs/MqGN+pChL1PwYV4PaTZ4A3H79U9k5U5uIKHZMBYMAoQCy++/nIjULpux+UFIyAIsVcDVD1pVBrT0KJT3XkKXMiRLFrl27cNFFF6G5ubktSFqtVvh8vnbH1dfXo7W1FUII+P1+3HvvvbBarfjRj34Ui7bjQv167qdNRJTo0iaeE9KgtmKzwTFiNCw5+ZBSwF1egcr3P4HvH28g9/JvYdRjj0a+WaI4wgzZM/7jRyC9OifWmMywFg8zpiEiIgpbOPtqWwv6wT5oKGy5OTDbTJCN1VCPbYHvyJewFw+FSMmIXKNEcSaR82Nc3bZR5/J1f1A3spIssJu5bwARUawIiw1Kbv+O3zRboeT0g3nAKFgGj4M5LQvC74JsOA5ZfRiypb5tMFy2NESx644JRTHsQdQVVVUxd+5cNDU1QUqJmTNnYu3atWhqajrj2KysLGzZsgWXX345gOCdlD//+c9RVlYW7bbjgpQSTdt36a7D/bSJiGKrq321Lbl5sA8eDnPBQHicAVSvWofyN97G8TffQsP69fDVBvd8a9mrf9alEZghKVqYIXvOd/yI7hrW/kOgWKwGdENERD1hTs+Etf+gDt9T7ElIGjoc6eecg5wLzkV6UQps3kqgbAcCB7ZBrasANBUAEKg9HsWuO8b8SNGS6Pkxrv6Gp9vNmDEsB+cPyMDQbAeSLeEPThdw6XEiopgz5Q9uey4caVAy82HKKYI5rz9MNjuE5gd8bgCdrxEpnfVR6LQbwhRc+kfvQ/BmK+rayy+/jNLSUgghcPfdd2PlypW44IILYLN1vPrM2WefjZUrV+Luu+8GALjdbrzwwgvRbDlueCoqMfiOWzH60f8Pg3/wfWSeOxHCEt5iRMJiRuY5EyPUIRERhSJ17HgIc/D7t7BYIRyp8HsBV50LTbsPo/7LbWjesRuBZmenNdxHj0J1u6PVcueYISlKmCF7zl5YgNxbfoiMK29C0oTzoKSEvw0Nlx4nIoo9x8hxwSdCwJqdjeSB/ZExYgCyRvVHSpqAVW2GcDehq31q1DgY1GZ+pGhJ9PwYV4PaxxrdONLgQp3LB7MAhuc4cG7/dJxVmIpBmUlIMnffbiGXHiciijlTTj+YMvNhLhwEc2YuTI4UKLaksPan0VriYFCbKEreeustAEBhYSGefvrpkM/77W9/i6KiIgDABx98EJHe4l39hs3Y8+tnsPvR/8Gh51+Cu7wC2RdMQcG3L0fuZdOQPGxItzUyzh4PsyMpCt0SEVFnFLsdIi0H7gY3Wisa0Xq0Cn6nq6t7IM8kJVr37Y9Yj0Txhhmy5/y710Hd9RmUih1IsnqRee5kZF8xGxnTZsAxZgIUR0q3NWxDOKhNRBRrjiFDkTa4ENnjhiC9OBuOLAcsyeFdg4yLQW2iKEn0/Bg3e2prmoTbr576tQRafSqA4GsWRaB/uh1mJfjNyO3X0OD2wx1Q4VNPbGAOID+Fg9pERLFmyh8E1ZGK8K5CtidbGiClDCuEGk6I4P7gRtQh6sLWrVshhMDs2bNhtYa+hKHNZsPs2bOxcOFClJbGx5Kr0ebcs6/drz3HK+E5XtnuNcVmhS0/D4rZDH9TE3x17bc3yL5gSsT7JCKi7qVNPActpQd11WjZuxdpE8Yb1FEPMUNSlDBD9oz0uQFP66kX1ABkYxWA4Owfuw2wjxwIWJOgSQWBlhb4qioQaGmF5g1unSisNliLBkW/eSIiaidp1Nnwb1qpq0ZcDGozP1KUJHp+jJtBbddpA9pdCWjBARKLSSAv5dQfuKpJBDQJiymuJp8TEfVJwmSGcKRBus7ciyNkagDS7YRwpBnXGFGcqq2tBQAMHDgw7HMHDBgAAGhpaTG0p0Th3Luv22M0rw/uo2fu96PYbZCaRMrIYZFojYiIwpQycqTuGvGyrzZRNDBD9ozWXBvagT43FABWm4C1ODgzSQLQAhpUzQxh4hKvRESxpjhSIZLTIFube1xDupqhuZxQHKkGdkYUnxI9P8bNCLDLH9B1vkkRGJjJZSOJiOKFSM3UXSPm+2oLxbgHURdSU4MfnJzOzvcJ7Ux1dTUAID09/H0Ae4OWPd0PandG83gh/X5kX3i+gR0REVFPpYwcobtGS+leAzrRiRmSooQZsmdkc12PzxUATGYFSeMmG9cQERHpYsou0l0j5rO1mR8pShI9P8bN3/DgUuP6JFvjZuI5EVGfJ1KydNeQMd5XWwrFsAdRVwYPHgwpJT777LOwzlNVFcuXL4cQAoMHD45Qd/HLW1sPb02IM2064SjuD0tKskEdERGRHo7iYig2fVuKuQ4egub1GtRRzzBDUrQwQ/ZMyDO1u2BKyzWgEyIiMoIpJ/EHtZkfKVoSPT/Gzd9wFwe1iYh6FSVV/6C25mzo/iCiXmDmzJkAgHXr1mHVqlUhn/fkk0/i4MHg3qMzZsyISG/xrCWEpce7kzpa/6xAIiIyhjCbkTxc35YQUlXRelDfvtxEiYIZsmeMGNQWaTkGdEJEREYw5/TTXSPWg9pE0ZLo+TGOBrX1LT8OAEkW7mVDRBQvRIoBy4+31ENKaUA3PcSlfyhK7rrrLtjtdgDATTfdhHXr1nV5vMfjwYMPPohHHnkEAGCxWHDHHXdEvM94E8p+2t1JHTXcgE6IiMgoKSMMWII81vtqM0NSlDBDhk9KTdfy4wAAkxkiue8t205EFK9MOYW6a6h1XH6c+oZEz49xMbXZp2rwa/oGLZLMCkyKMKgjIiLSS5itgD0F8LT0vEjAB3hbg3WIerH+/fvj8ccfx3333Ye6ujpMmzYNl1xyCSZPPrVX386dO/Hiiy9i48aNWLp0Kerq6iClhBAC9913HwYNGhS7LyBGnDr20z4p1YD9W4mIyDjG7Ksd40FtoihhhgyfbG0CNH2rRYq0bAjBa5BERPFCJKdD2B2QHlePa2jOBmheNxRbkoGdEcWfRM+PcTGobcQsbQeXHiciijtKahY0PYPaCIZKU6wGtYUIPoyoQ9SNe++9F9XV1Xj66achpcSqVauwatWqtgtmixYtwqJFiwCg3QoG8+bNw+OPPx6LlmPOuUf/oAVnahMRxZeUkSN112iN+UxtZkiKHmbI8EgDlh5XuPQ4EVFcEULAlNMPgTJ9N76rtceh9BtqUFdhYn6kKErk/BgXaxG0GrCftsPKpceJiOKNSNG/r7ZsqTegkx5SBKAoBjwYKCk0Tz31FJYuXYqxY8dCStnpAwjeWblw4UIsXrw4xl3HhhYIwLnvgK4apmQHkvoXGdQREREZwTF4MIRZ303rLfv3Qwvov3m+x5ghKcqYIUNnxH7aHNQmIoo/phz9n+1juq828yNFWaLmx7iY3mzETO1kztQmIoo7SmoW9N62JJ0xHNQmioE5c+Zgzpw5WL9+PVavXo1du3ahvr4egUAAmZmZGDJkCKZNm4bp06fDrPOifyJzHToC6fPrqpE6YhiEEhf3eBIR0QmK1QrHkCFo1bGEuPT54D58BMnDYjTThigGmCFDY8SgtuCgNhFR3DFmULvcgE6IEkci5se46MKQmdoWztQmIoo3IiUz/JMUE0RyBkRqVnBPHEe68Y2FSAoFUugf8DKiBvVuFRUVKCwsbPdaSUkJSkpKYtRR/DNkP20uPU5EFJdSRo4Ie1DbVliIlJEjkDxsGGx5eRA2W4S66x4zJEULM2T4ZHOd7hpKarYBnRARkZF6NKhttsCUXQhTdhFMWfkwZeYa31iImB8pWhI9P8Z8UFuTEm6/vkFtkxCwmfmPlYgo3girHbA5AK+r4wNMZghHGkRSKoTNETzeZIJQ/UDAB3idgNcJmZEHEZNQpgCG/L78GUVdKy4uxvTp0zF//nxce+21cDgcsW4p7jn3GjCoPXqEAZ0QEZHRUkaORNW/l3f8phCw5efDmpsLU3IKYDJD9frgq65DzeebUf7OB4CUGPpfP8KQH9we3cbbMENSdDBDhkf6vZCuZl01RFJK8HMrERHFFSU1C7DaAZ+n4wMsNpgy82BKy4SSnAbFkQxhMgF+D+BzA84KyNZqyILBbfsKRxfzI0VHoufHmA9qe/waZPeHdclhNcXoGw0REXVHONIgva7gALbNAWGzQ5itEGYLYLac9v1bA/wuoKPVhAN+wBK72TZEkaaqKj788EN8+OGHcDgcmDt3LubNm4cZM2Yw43SiZf8h3TVSR3JQm4goHiUVFwefCAGTI/nEwLUf/iYnVI8PnobDwJ7DXdbwVFRGvE+iWGOGDI9sadBdg0uPExHFJyEETBk5UKvLICw2KKnpUJIcUGx2KFYrhNV22s9GH+DynVlEUwHVD5itUe2dKJoSPT/GfFDbYhIYl58KvybhDWhw+1W4/CpafQFoIY52J1u59DgRUbwy5Q4AkhzBQe2e/mAM+GIzqC0MukuSS/9QNwoKClBZGbz43traildeeQWvvPIKCgoKcMstt2DevHmYMGFCjLuMLwVXXIbcaSXwO53w1tTBdbQcLaX74T4W+h5YKSO51yoRUTxyDBoEr9MLqUqgwd2jGjEd1GaGpChhhgyPcKTBNu1GSK8LsrUZmrMOWnNtcElyNRBSDYWD2kREccs2dCxkTg5Eu0k0YfK6YjOozfxIUZLo+THmg9puXwANp90VYxZAutWELHtw8ENKICA1+FUJT0CFJ6BB1SQ0ibYZ3g5rzL8MIiLqhJKcAenRt8QbAh3cPUnUi5SXl2PVqlV47bXXsGTJEjQ2NgIAKisr8bvf/Q6/+93vMG7cONx66624+eabz9j7pq+RUmL3o7+B5vWeelEIWLOzkD5hFEz2JEAAmtcHX2MzvFXVUD1enL48UFL/IlhSU6PfPBERdcuakw3FlgTV1ckWNiHwHOdMber9mCHD5GoEGo5DABAAlNR0IC0TMI8BoECqgeAS5e4WyNZGaK1NkH5fcOUwqQHgTG0ionhmyiqA5tK3Kof0uSGSM4xpiCgOJXp+jPltG2oH07ElgIAm4Vc1BDQNkIBFEUi1mpHrsKIgxYai1OCjIMUKO/fTJiKKX0bc3RirQe2Td0ka8SDqghACl112GV544QVUVVVh6dKluPHGG5GUlAQpJaSU2LFjB+677z4UFxdj5syZ+Mc//gGXjov9iSzQ7Gw/oA0AUsJXW4eWPaVo+mobmrZug3PXbniPlwOqHyaLApNVgclugiU1CdbMtNg0T0RE3RJCwF5YoKuGp6ISUurd7KyHmCEpSpghwyMDHex1JTXA7wX8bgjND8WkwJSSBnN+MaxDxsM2cjJsY8+HdWwJrCPPgcKBDiKiuCVs+vcGlt6erRKkG/MjRUmi58eY/w3vaFA7VAKASQikcKY2EVH8MmBQW8ZoUFsKASkUAx7xvx8JxQ+LxYI5c+bgn//8J6qqqvD3v/8ds2bNgslkgpQSqqrio48+wve+9z3k5+fj1ltvxYcffhi7C/cx4K2u6fnJmoTm9SJjYvwupURERIC9MF/X+arLhYCzxaBuwsMMSbHADBkCteefK4UQEBYrRFq2gQ0REZGhrEn6a/hiM6jN/EixkIj5MaEHtU8yKfyHSkQUtxJ5pjZRjCUnJ+OWW27BihUrUFlZieeeew7Tpk07sUWLbNv75oorrsCAAQNi3W7U6BrUPsGWl2tAJ0REFCl6Z2oDMd5XmyiGmCE70dFM7XBwBhwRUVwTBgxqyxgNahPFWqLkx5gnscCJPWl6ShECgnefEBHFL8Wk/4M/lx8nQlZWFn7wgx/g008/RVlZGZ588kmkpKQACO4xXVFREeMOo8dbw0FtIqLezpBB7eMx+tnIDElxhBnyNKrOQW2zhdcgiYjimREztb0xWmKZ+ZHiSDznx5iv2613pjZnaRMRxTchBKTZCvg9PS/CmdpEAIBDhw5h6dKl+Pe//43PP/8cgUAg1i3FBGdqExH1fnqXHwcAT2WVAZ0QJT5myOAFWN2D2iaLMc0QEVFECEUBLHZd1yA5U5soKF7zY0wHtTUpoXfpdTMHtYmI4p/eQW2pQmoBCCXKP7aECD6MqEPUQxUVFfjXv/6Ff/7zn/jyyy/bXj+5f01BQQG++93v4nvf+16sWow6b3Wt7hoc1CYiim8Jvfw4MyTFAWbIb9A7oA0AJgO21iIioogS1iRIPdcgfR5IqUFEe8Yz8yPFgUTIjzEd1OZ+2kREfYQh+2r7AWu0B7UNWraHS/9QmOrq6vDmm2/in//8J9asWdMWHk/+1+Fw4JprrsH8+fPxrW99C4rSt/6OGTNTO8eAToiIKFISe1CbGZJigxmyC3r30wYAM2dqExHFPVsS0Nqgo4AEfB7A5jCspZAwP1KMJFp+jPGgtr79tAEOahMRJQJhtkL3bUwBrzF74xDFKafTibfffhv//Oc/8fHHH7ct63MyRAohcOmll+J73/serrvuura9bPoivYPawmKGJSPDmGaIiCgi7AUGLD8eq0FtoihihgyRqn9LK8Hlx4mI4p6wJum+Bil9bohoD2oTRVEi58deMFObd54QEcU9o2ZqR5kUCqQBdzgaUYN6t+uuuw4rV66E1+sFcCpEAsDo0aMxf/58zJs3D/37949Vi3FF76C2LTcXgktyERHFNcVqhTUnG77auh7X8FTEZk9tZkiKFmbIMBix/LgRn2uJiCiyjBiMjsG+2syPFC2Jnh9jOqgd4PLjRER9gwEf/mXAC37Hp97q7bffhhCiLUjm5ubiO9/5Dr73ve9h8uTJMe4uvkhNg7dW357a3E+biCgx2AsLdA1qe6uqIVUVwmQysCui+MEMGTppxE3SnKlNRBT3hAGrPEpv9Ae1iaIl0fNjL5ipzSEOIqK4F+6gtlCC55x4CLMVsKdGprcu+xCAESuCcEYohcBms2H27NmYP38+Zs2aBRMvwHfI39gE6Q/oqsFBbSKixGAvyEfz9p2hHSwEbHm5sBcWwF6QD3tRAeyFBbEZ1GaGpChihgyRITO1OahNRBT3wh3UVsyALQnCmhRcctyaBJGWHZneusL8SFGUyPmRg9pERBR5plOD2hIATGZAsQT/azJDKsEHFFMwTAoRPE7K4BlSQmgqon4JQSjBhxF1iLqwcOFC3HjjjUhPT491K3FP79LjAGDLyzGgEyIiijTFam333JScDJMjCYrNBsVsASxmCKEAmoSmadA8Xrgra9F6qAyqxwPV40HW+echZdiQ6DbODElRwgwZhoD+PbU5U5uIKAG0G9QWgMV26mG2nvqv2Rq8XnlifElKGZy5KiWEJhH1FMb8SFGS6PkxxoPamu4aJt55QkQU94SiwJ9WEAxWiqnruwaldmLk+5uv678Riihe3XHHHbFuIWEYM6jNmdpERInAkp0N1R/MhqrPA3+LJ+waqscbgc6I4gMzZBj0ztRWTBBK4sxiIiLqs8xWoGjEiUFrSzfXIFVA7eh1/eNWRPEq0fNjTAe1s5JtCGgSqiahatqJ/8q217RuBjBMQkBwUJuIKDFYbPoGpmMxps27JIniTvpZ4zF50fPwVtfAW1174r818NbUtL2mebsewLDlclCbiCgR2PPzdGdAzRP+QLhuzJBEcUfkDgYCXkD1B/fXVv3B2duqHwj4Aa2b7W04S5uIKCEoigLVnqKzSgwuQjI/EoUkpoPaVrMJXe2yKqVsG+gODnZrUE97TeGANhFRAhHQFwo5U5v6jvLyclRWVsLj8UDTtOASWCGYNm1ahDuLPUt6GrKmnNvp+1JKBJqdHQ52n3wtaUC/KHZMREQ9pdhtumuo7hgMahPFCDNk54TNAdgcwecdvC+lFhzcPjnIrfogT3sOs/7vR0REFCVC6JxYw2uQ1HckWn6M6aB2d4QQMJsEzFzdh4go8Qmha1w61B+ohkrAuyTLysrw5z//GStXrsTBgwchpUS/fv1w2WWX4a677sLEiROj1kskfPzxx1i4cCHWr1+P6upqpKWlYciQIbj++uvxH//xH8jMzAypTn19Pf7yl79g2bJlKC0thc/nQ1FREUpKSnDHHXfg4osvjvBX0rEXXngBv/vd77Bv376wzxVCIBDoZoZJHyCEgCU9DZb0NKQMHxrrdoiISAeT3a67RkwGtZkh4w4zZOeYIYOEUE7tuXrytRj2Q0REOggluLR4T/EaZEiYH5kfY0HImIwSEBFRX+N31kOqOn7YCQXW9BzjGupEWVkZBgwYAADYv+tr9O+nf0ZnWXk5ho2ZAAA4duwY+vfvr7tmR9566y0sWLAATqezw/dNJhMeeughPPbYYxH5/SPJ7/fjzjvvxKJFizo9pn///vjnP/+JCy+8sMtaa9euxfXXX4+qqqpOj7njjjvwl7/8BRZL9JYZ/PGPf4znn38eQM9u4hBCQFV1fGgjIiKKM5UrP8RX//lzXTUm/OE3KJozy6COOscMGZ+YIbvHDElERL2Nv+5499tKdMVkgSWr0LiGOsH8GJ+YH7sXy/wY1zO1iYioN9F7nzvvwerKRx99hBtvvLEtUEycOBGzZs2C2WzGmjVrsGrVKqiqil/96lew2Wx48MEHY9xxeO644w4sXrwYAGC1WnH11VdjwoQJqKurw5IlS3Ds2DGUlZXh29/+NtatW4cxY8Z0WGfHjh244oor0NraCgAYMWIE5syZg9TUVGzatAnvvvsuVFXFCy+8AAD4v//7v6h8fZ9++in+93//F0IISCmRkpKCc845B7m5uXA4HFHpgYiIKN4YM1PbbUAnvRczJDMkERFRr6N321rOA+0S8yPzYyxxpjYREUWFv6URMuDTVcOakWdQN51rd5fk7h3G3SU5ehyAyNwl6XK5MGLECJSXlwMAHn/8cTz00EMQp4X4N998E9/97nfh9/uhKAq2b9/eaeiKN8uWLcPVV18NAMjJycEHH3zQbgkjj8eD22+/Ha+++ioA4Pzzz8f69evPqCOlxLnnnovNmzcDAO666y48++yzMJtP3eO3Zs0azJ49G01NTQCA9957DzNnzozY13bSvHnz8Oqrr0IIgfnz5+Mvf/kLkpOTI/77EhERxbO6Lzbhy1vu0FVj1C/uw6AF3zWoo84xQ8YfZkgiIqK+KdBQqe8apGKCJVt/lusO82P8YX6Mf9FbYJ+IiPo2AzYki/p9WEIY94igF154oS1MXnXVVXj44YfbhUkAuP766/HUU08BADRNi8nyP48++iiEEBBC4NNPPw3rvJOef/75M/bksdvtWLx4MSZPngwA+OKLL7By5coz6ixbtqwtTE6YMAHPPfdcuzAJAFOnTsVLL73U9utf/vKXIfepx5o1ayCEwLBhw/C3v/0tocIkERFRpJiS9M/U1jyx2FObGdJIzJCdY4YkIiLqgO6Z2poxfYSD+dFQzI+dS/T8yEFtIiKKCmHEqDZ16PQ9Xh544IFOj/vRj36E3NxcAMA777yD5ubmSLem27Zt27B161YAwWV65s6d2+FxZrMZDz30UNuv//73v59xzOl/Tvfffz8UpeMYdO211+Kss84CAGzcuBGlpaU9bT9k1dXVAICrr766076IiIj6GpPdpruG6vEa0EnvxAzJDElERNQrcfnxiGF+ZH6MtcTrmIiIEpMRdwpGfaa2YtwjQqqqqvDVV18BADIzM3H++ed3eqzNZsP06dMBAF6vt8M7CYHgjPg333wTN954IwYOHIikpCRkZGRg/Pjx+OlPf4o9e/YY/nV05v333297PmvWrDPu/jzd5ZdfDovFAgBYvnw5AoFA23uBQAAff/wxAEBRlG6X85k1a1bb87fffrtHvYcjPT0dQPD/QyIiIgoyZk/tWMzUZoZkhmSGJCIiihkDMlT0V4tkfmR+ZH4MBQe1iYgoSoyYqc07Jb9py5Ytbc/PO++8bu+wOz1wbtiw4Yz3jxw5gilTpuCGG27AG2+8gaNHj8Lj8aCpqQk7duzAH//4R4wbNw4PPvhgVAL+yaV6vtl7R5KTkzF27FgAgNPpxK5du9re27dvH5xOJwBg+PDhyM7O7rJWd39ORhs1ahQAYP/+/RH/vYiIiBKFkqjLjycAZshTmCGJiIh6mwScWJMAmB9PYX6MHQ5qExFRdCTgTG0pFMMekbJv376254MHD+72+OLi4rbn31zS5tChQzj//PPx5ZdfAgCysrKwYMEC/PrXv8ZDDz2EGTNmQAgBVVXx5JNP4vbbbzfoq+icUV+fkX9OkXDjjTdCSomlS5cmxJJMRERE0WDEntqxmKnNDMkM+c06kcIMSUREdKauZtiGjtcgv4n5sT3mx9gwd38IERGRfkYESilllHfmFgYt23Oq64qKim6P7t+/f8iVT68Xynn9+vVre15VVdX2XFVV3HTTTaisrAQA3HLLLXj++eeRkpLS7vwNGzZg7ty5OH78OF566SVcfPHFuPXWW0PuN1xGfX1G1YmUO+64A88//zx27NiB73//+3jttddgtVoj/vsSERHFs4RdfpwZkhkSzJBEREQxk4ATa5gfmR+/WSdSEj0/clCbiIiiQgs5DIpg+BQiGMNOPAeEQXdaxtZ5553X7THhLKnT1NTU9tzhcHR7fFJSUofnLlmypO3uyMsvvxwvv/xyh8sITZkyBW+++SYuvPBCSCnx2GOPYd68eTCZTG3HPPPMMx3+3uvWrWt7/q9//QubNm0645gBAwbgpptuMvzrM6pOpFgsFixbtgxXXHEFli5divHjx+O2227DlClTUFBQEFLPQPu7O4mIiBKdYrEAigJoWucHCQGT3QYlyQ6T3Q5TUtKJ/9qhJNmROmp49BqOIGbIIGbI9pghiYiIzqSFfAny5EDyieuQQpx2HTLxMT8GMT+2l+j5kYPaREQUFQFhhlexAxBtC/icnHfdNv+6bSAbEBDBHBn8BQSAZKHAdGbpiJFCQBoxwzyCYdjr9bY9Pz0Edeb0Y04/98UXX2x7/tBDD3W5L05JSQmmT5+Ojz76CIcOHcLnn3+OadOmtb1/3333ddvH888/3+HrF198cbtAadTXp6eO3+8PrhIQwf8fx4wZAwBwuVyQUmLfvn148MEHw6ohhEAgEIhEe0RERPFLyuBEmrZH8ImUMvg8BvshMkN2jBnSeMyQREREZ/IqNnhMJ683CkgRfN72a6DtGqQQJ68/nv5cIJ3XIM/A/Nge82Ns8iMHtYmIKCqkMEEV3f/YkSf+Rwb/B6fvYRODa5KG27hxIwoLCw2rd/rdiaEEntPvwDwZGgOBQLs7GCdPntxtnQsvvBAfffQRAGDt2rXtAqWRTCYTtBOzs3r69Z2sc1JPgmGkVwnYs2cPhBDt+g/nblkiIqLeSPP7u56lffI4jweaxwN/B+9Z0tKMbywGmCHDwwxJRETUd2mKCX6l++WUg/dDytMuPfIaZFeYH9tjfowNDmoTEVFUSOj/4Rj11X+MmtxzWo3CwsKw9qvpzun7zXg83e8ZefoxNpsNAHDkyBG0trZ2WDMUR44caffrzoLQo48+isceewwAsGrVKlxyySXd1k5JSUFDQ0Nb7yd77kxHX9/JOh0d0xm3291hnUiZNm1ar1hen4iIyEhqCD+zu2NK0r8vd9iYIUPCDKkfMyQREdGZjMhhUf/5yvwYEuZH/RI9P3JQm4iIoiNxbvhqo0GGsRd413Ui5fSg5HK5uj3+9KCUnp4OAKivr9fVw8nAFwmnB0qXy9XWc2c6+vpO1jmpp39OkfTpp59G/PcgIiJKNKo7MQe1mSFDwwypHzMkERHRmYwZ1NZfIxzMj6FhftQv0fMjB7WJiCgqjJmpnbh3kUXK6csIHT9+vNvjy8vL254XFBQAQLs9UIqKivDTn/40rB6GDx8e1vHhKCwsxLFjxwAEv77ulk3q6Os7Weeknv45ERERUXRpBgxqK/YYzNROAMyQ7TFDEhER9R6GXIM0oI/ehvmxPebH2OCgNhERRYUhd0nqLxEWCWMmmEdykvrYsWPbnh8+fLjb409fpmfEiBEAgMzMzLbXpJT42c9+ZlyDOo0dOxYbN24EEPz6uttrp6Ov72Sdk3r65xQLmqahpqYGDQ0NyM3NRXZ2dtvrp+/XQ0RE1Bsl6vLjzJCxxwzJDElERH1XIi4/zvwYe8yPiZEf46cTIiLq1RJw9fGEMH78+Lag/eWXX3Z7/BdffNH2fNKkSQCA4uJimM3B+9wqKipQVlbWbR2n0wmv19uTlsNy1llntT0/GSw709LSgp07dwIAkpOT2wXB4uJiZGRkAAD27NkDp9PZZa2O/pyiJRAIYPHixZgxYwbS0tJQVFSEsWPHYvHixW3HlJSU4Oabb8aOHTui2hsREVE0qR79WcNkj/y+dImIGfIUZkgiIqLeRe9Mbc7S7hjz4ynMj7HDQW0iIooOA26TjPZdkpo07hEpmZmZuPDCCwEAVVVV2Lx5c6fHejwefPzxxwAARVEwffp0AIDD4Wh39+Grr77a7e87f/58JCUloX///vjb3/6m50vo0lVXXdX2fOXKlV0e+/7777ctY3TppZfCYrF0WCsQCOCDDz7osta7777b9vzyyy8Pq2c9du7cifHjx+O2227DqlWr4HK5IDv4t7Nr1y68/vrrmDx5Mv74xz9GrT8iIqJoMmJP7VgsP84M2TlmyMhghiQiIjpF7yXIWGx/yPzYOebHyEjU/MhBbSIiigq9mSoW22lLGVwKR/8jsn1+5zvfaXv+6KOPdnrcs88+i9raWgDAlVdeiby8vLb3br311rbnv/3tb9vt5/JN69atw7JlyyClxPHjx3Heeefp6L5rQ4cOxTnnnAMA2L59O5YsWdLhcX6/H0888UTbrxcsWHDGMaf/OT3xxBPw+/0d1nrzzTexfft2AMC4ceO6XW7IKLt27cJFF12E0tLStr87Vqv1jOPq6+vR2toKIPh133vvvXjuueei0iMREVE0aW637hoxWX6cGbJDzJCRwQxJRETUXkcDc+HgNcjOMT8yP8Y6P3JQm4iIokJ3oOTiP5267bbbMHjwYADA8uXL8bOf/QyqqrY75s0338SDDz4IIHjH6SOPPNLu/QULFmDo0KEAgLq6OsyYMQO7d+8+4/fatGkTbrjhhrb/P6+//nqMGzcupD4fffTRtqB0ySWXhPz1Pf74423Pb7vtNnz22Wft3vd4PLj11luxdetWAMHlgq699toz6lx55ZUoKSkBAGzduhW33norPN/Yq3PNmjW4/fbb2/UcDaqqYu7cuWhqaoKUEjNnzsTatWvR1NR0xrFZWVnYsmVL292bUkr8/Oc/D2nJJiIiokRizJ7aSQZ00jsxQzJDMkMSEVFvpHtijSFd9E7Mj8yPsc6PQuodZSAiIgpBY6sbqo41cBRFIDM58hcly8rKMGDAAADA17tL0a9fP901y8vLMWF0cG+VY8eOoX///rprftOHH36IK6+8sm3pm1GjRuHqq6+G3W7H2rVr25b8AYCHHnoIv/71r8+osXXrVlx88cVte72YzWZceeWVmDRpErxeL7Zu3Yr333+/LUwOGjQIX375JXJycgz/er7p1ltvxcsvvwwAMJlM+Pa3v41zzjkHjY2NePPNN3H06FEAwWWM1q9fjwkTJnRYZ/v27bjgggvQ0tICABgwYACuv/56ZGZmYtOmTVixYkVbGL/lllvwyiuvRPxrA4CXXnoJt99+O4QQ+M///E/86U9/antPURQIIfD000/jv//7v9ud91//9V/485//DCEEHn74YTz22GNR6ZeIiCgayt/6N7bf90tdNSb+7++Rf/mlBnXUOWZIZkhmSCIiovhQ1eSCpmPYy2JSkJPKa5CdYX5kfoxlfozrQW0pJaAFADUAqQYATT3x3+BrUEwwZRbGuk0iIgpBQ4tbV6A0KQIZMRjULjIgUB6PQqAEgCVLluD73/9+WyD8JiEE7rvvPvzP//xPp/sD7dixAzfeeGOHd0ierqSkBK+//nrEvpZvCgQCuP3229tCZUdyc3Px5ptvYtq0aV3WWrNmDW644QZUVVV1esy8efPwt7/97Yw9cSJl9uzZWLFiBYqKinDw4MF2S/50FSi9Xi+GDh2KiooKnHfeeVi/fn1U+o1nUkoEmprhra6Bt6Ym+N/q2hP/DT6G//weZE6eGOtWiYioG0dffQO7fvEbXTXOWfQccqaWGNRR55ghmSEBZshEpkmJgCoR0DT4T/w3oEr4NYmAqsFiUtAvgys/EBElgsqmVl3LcFvNCrJTeA2yK8yPzI+xyo/mmPyuJ0i/F1L1BwetNTU4UK2dGsCGpnZdQDFFp1EiItJN6lz8p7MARKdcd911KCkpwZ///GesWLEChw8fhtfrRWFhIaZNm4Yf//jHmDJlSpc1xo0bh+3bt+P111/HW2+9hS+//BLV1dXQNA35+fk499xz8d3vfhfXXHMNFCV6u5iYzWYsXrwYt956K1588UWsXbsWVVVVsFqtGDFiBGbPno3//M//DOmOzalTp2LPnj149tln8c4772D//v1obW1Fbm4uSkpKcOedd7YtqxMtW7duhRACs2fP7nAPm87YbDbMnj0bCxcuRGlpaQQ7jB/+pmY4d+9pP1D9jcFrzefrsob7WDkHtYmIEoDm8equEYs9tRMNMyQzZF/g9qvwqycHqrX2A9iqhNrN6IfNHLdzgoiI6Bv0TuPkFojdY35kfoyVmA5qq83VgE/HHlmaCiklBzqIiBKA/kAZfZoMPoyoEy1FRUV48skn8eSTT/a4hslkws0334ybb77ZwM6Mcdlll+Gyyy7TXScjIwMPP/wwHn74YQO60q+2thYAMHDgwLDPPXlX78nljHq7pm3bsfWun+iq4a2pMagbIiKKJE9Vte4aij36g9rMkMyQ0cIMGbryRje8Aa3H5/vVnp9LRETRo2n6v1/HYriJ+ZH5MVoSPT/GdFBbKGad8/YQnM1tiumXQURE3dCkRKNHhUAwGJqEgEk58RCAIgSECL53em6UMjjDW0rEJlESRUlqairq6+s7XbapK9XVwQv+6enpRrcVl2x5ubpreKs5qE1ElAh8dXUQpmAGVKwWmJNTYHIkQbHboFisEGYzxIlZG1LVoHq90NweqB43VI8XqscDk90Wyy+BKKKYIUNnMQl4Az0/X5OApkkoCj+XEhHFM78qUd7shSIEFBH8/m9RFJhNAua2a5HB94QQgDyxtuRp1yA5U5t6s0TPj7EdDTZiMFoLcFCbiCjO+VUNnsDptzF1fUuTEIBFUYLB06TAYlJgj8GWE1JKSL1TzE/UIerK4MGDUVdXh88++yys81RVxfLlyyGEwODBgyPUXXwxZlC71oBOiIgo0qTPB+XEoDbUAALNjQg0N3Z8sBCw5ebAXlgAe2H+if8WwFEcnb33TscMSdHCDBk6s6IA6Gabw274NQkbB7WJiOKaV9XQ6A39+71JCNgtCuxmBXazCTaLgiRT9Ja6Pon5kaIl0fNj9P91nkYo+gejparjNksiIooKvxpeoJIS8KkaWn0qGt1+1LR40aLntvoe0gx8EHVl5syZAIB169Zh1apVIZ/35JNP4uDBgwCAGTNmRKS3eGPJSIew6MuQnKlNRJQYPJVVoR8sJbzVNWjath1V732EIy+9gtKn/gBhiv6NkcyQFC3MkKEzm/QPRge4BDkRUdzzhLnVhColWn0q6lx+lDd7cLDOhQaXP0LddY75kaIl0fNjTAe1YcSHS1XfXZZERBR5Ruw/ZonBXZJE0XLXXXfBfmLPz5tuugnr1q3r8niPx4MHH3wQjzzyCADAYrHgjjvuiHif8UAoCmw5ObpqcFCbiCgxeCoqdZ1vy8+LyaA2UbQwQ4bOouj/PBmI5kalRETUIx6//vEiu4XXIKn3SvT8GNt1u42Yqa1xpjYRUbwLd6Z2RywG3FkfLimDDyPqEHWlf//+ePzxx3Hfffehrq4O06ZNwyWXXILJkye3HbNz5068+OKL2LhxI5YuXYq6ujpIKSGEwH333YdBgwbF7guIMlterq6BDm9NTdufHRERxSfN54Ovtk5XDXthvkHdhIcZkqKFGTJ0RszUNuJmbSIiiqxwZ2p3xG6OxRaIzI8UHYmeH2M6qC2M2Auby48TEcU9ztQm6t69996L6upqPP3005BSYtWqVVi1alXbwOuiRYuwaNEiAO33SJo3bx4ef/zxWLQcM3r31Zb+APyNjbBmZhrUERERGS2spcc7YS8sMKATovjGDBkaztQmIuobjBnU5jVI6t0SOT/G9l+nATO1wZnaRERxL1EHtTVp3IMoFE899RSWLl2KsWPHQkrZ6QMI3lm5cOFCLF68OMZdR5/eQW0A8FbXGtAJERFFit6lx4HYDWozQ1K0MUN2j3tqExH1DZ6AvuXHBQBrDAa1mR8p2hI1P8Z2praiAEIBZM9DoeSe2kREcU/v8uOKAExKDJYJPu2Ht946RKGaM2cO5syZg/Xr12P16tXYtWsX6uvrEQgEkJmZiSFDhmDatGmYPn06zObY7iQTK7Y8fXtqA8F9tVNHDjegGyIiioREHtRmhqRYYIbsmtmAz5N+jhQQEcU9j1/fDUhWswIlFluVMT9SDCRifox9F4oJ0HOnI2dqExHFNSklApq+QMmlx6kvKikpQUlJSazbiEvGzNSuMaATIiKKFE+FAcuPF8RmT22iWGKG7JgQAmZF6FpCPKDzZm0iIoosTUr4dK6qwaXHqS9KpPwY80FtYTJDqv6eF9DUtg3KiYgo/qgGLH0Tq0Ft7cTDiDpEZBxbLge1iYh6O0NmahcVGtBJ+JghieKT2aRzUFvTeA2SiCiOeQ3ZT9tkQCfhY34kCk3sbzsxcV9tIqLezJj9tHnRgIhO4UxtIqLeL6GXHyeiuGRR9F0G5V6lRETxzePXv1Wt3RL7ITMi6lzMZ2pDCbMFTQNUHxDwAQE/oPohkzMh0vTvrUhERMYLGDKoHZtAKWHMVjS87kHdefnll3t8rqIosNlsSE5ORkFBAUaMGIGUlBQDu4s/4Q5qt+1LJQEIBcJiQcPmr41vjIiIDKN3+XFTcjLMqbH5ecgMSdHCDBkec5g3S6uahMuvwh1Q4QlocPtV5KfZkJNsi1CHRESkhyeBZ2ozP1K0JHp+jPmgtjCZzvyHJgQgTABkcOA64AX8XsDnCv73m/zuKHRKREQ94TNg3zGLEpuZ2pqU0AxIlEbUoN5twYIFhi1jKITAWWedhXvuuQfz5883pGa8MaelQrHZoHlPy4WKAmt2FqzZWVDsdgACmscLf2MzPNU10Dwnj1UBvwp/U3MsWiciohBIKXXP1LYX5MdsiWBmSIoWZsjwmDuYqa0IwCQEAlLC7dfgCqho9QXg9KpwdTDjz+lVkZMcjW6JiChcnoABM7VjtKc28yNFS6Lnx9gPatuSIVLkiYFrD+B1QXpaAE8LoIX2TUi6WyLcJRER9ZTLp3+LiFjN1CaKJmnQBw8pJb766issWLAAb7/9Nl5//XWYzTGPfIYSQmD0ow8i4HIh4GyFt7oWrqNlaCndj6av94RUw112HH6nE5bU1Ah3S0RE4fLV1kJ1uXTVsBdx6XHqG5ghQ5dmNwMi+BnV6Q2g2aui0e1Ho8cf8l7bDW4fBsMR4U6JiKgnGt1+3TXsltjM1CaKpkTOj7FPpwEf5MFNukpIj9OgZoiIyGhVLV60+lRYTQqSLAosigKB8JbDieny4wbVIerKa6+9BlVV8dBDD+Ho0aOQUiItLQ2zZs3ChAkTkJ2dDSklGhsbsXPnTrz//vuoqamBEAIOhwPXXnst/H4/mpqasGvXLhw9ehQA8M477+Dee+/Fn/70pxh/hcarfO8TVH+4SleNlr0HkHnO2cY0REREhnEdPgJzkhkSAiZHMoTZAukPwO9sgfSHdrEylvtpM0NStDBDhsfpC2Dl3mpdNRoMGDAhIqLIKK1pQYtPRbLVhFSbGTazCYoAQrxvCUDsZmozP1K0JHp+jP2gts0RXG5cz50B7hZIKWO2tBgREXWuwe2Hu5M9bWxmBek2M1KsZtjNCswnlhkPaBJ+VWsLneHufUaUaG666SbcdtttOHLkCIQQeOCBB/Dwww8jKSmpw+MDgQCeffZZ3H///XC5XMjLy8MzzzzT9v7SpUtx++23o6GhAc8++yzuuusujBkzJlpfTlSkDBuse1DbubeUg9pERHHIffQozLYTlytUD6B6IABYHQogbbDm5cGamwdTaiqEYobmD8BXWwdPRSW8NbWAlDEd1CaKFmbI8KTbLbprNLg4qE1EFI+klDjW6IFXPfMapBBAitWMghQbspKtSLGaYDUrgAzuw+0JqNAkYBJouzZJ1Fslen6M+XquQiiATedG4loguHQ5ERHFFW9A63RA++T71a0+HGxwYVdNC76ucmJHtRPHnV74pESyzYT8NBuUmO2HaNyDqCvvvfceFi1aBCEEfve73+GJJ57oNEwCgNlsxj333IO//vWvkFLiD3/4A9asWdP2/jXXXINly5a1/fqll16KaP+xkDpyuO4azt2lBnRCRERGa9m7t8PXhRAQioC/tgatu3eieeMXaPpiLZybvwC8TuSUTMSI//4hxj31KAq+PTPKXZ/CDEnRwgwZHqtJQYpV37KyrX4V3i4+4xIRUWw0uv0dDmgDwfmUTm8A++paseFoAz7eX4uVe6rx0b4alNa2wKdqyHJYMDwnOWYTJ5kfKVoSPT/GfFAbAESSzkFtANLNJciJiOJNkyf8u9g1CTR6/DjS4MbXlU7sr9O3n6IuMhh89T649g91Z+HChQCA8ePH45577gn5vHnz5uH888+HlPKM5X0uvPBCTJs2DVJKrF692sh240LqKAMGtffsM6ATIiIyWsve8G868lZWom71Zzj6179h/5P/A+n1RqCzEDFDUpQwQ4YvM8mA2dpunwGdEBGRkSqd4Wc/vyZR3uTB5rImrNxTjU1lTRHoLETMjxQliZ4f42NQ256qv4inRX8NIiIyVE8Gtb8pwx77nTKIIm3Dhg0QQuDKK68M+9zp06cDANatW3fGe5MmTQIAlJeX62swDjkGD4Sw6rso6SzdD6lxpg0RUTzRfD64Dh7UVUOxWuEYNNCgjojiFzNk+DKTrLprcF9tIqL4U+nUv5JvQarNgE6I4lui58e4GNQGZ2oTEfVKTZ6A7hpG7HvWUxqkYQ+irtTV1QEAkpOTwz7XZgt+6GpoaDjjvZycHABAbW2tju7ik2I2I3X4UF011FYX3GXHDeqIiIiM4Dp0CDKgL0MmDxsGYY7djZHMkBQtzJDhy3QYMVObg9pERPGmJzO1v6kg1W5AJz3D/EjRkuj5MS4GtY2YqS09HNQmIoo3jQZ82I/loLYRy/60Lf9D1IWsrCwAwKZNm8I+d8uWLQCA7OzsM96rqqoCAKSk6L+BMB6ljhqhuwaXICciii+d7acdjuSR+n8+6MEMSdHCDBk+Y5Yf56A2EVE8kVIaMqidH8OZ2syPFC2Jnh/jY1DbYgPMOpf/8bogNdWYhoiISDe/qsHl1/d92aIIJFni4kcVUUSde+65kFJixYoV2Lx5c8jnbdu2DcuXL4cQom2Zn9OtXbsWADB0qL4ZzfHKkH21e7BvKxERRU5P9tP+ppQRsR3UJooWZsjwpdrMMAmhq0aj2w/JUQMiorjh9AZ0X4NMt5uRZDEZ1BFR/Er0/Bg3IwXCbsDoPffVJiKKG4YsPZ5kgdB5wUEPTRr3IOrKggULAACqquKqq67CF1980e05W7ZswezZsxE4sUTr/Pnz273/6quvYuvWrRBC4NJLLzW853iQOtKAQW3O1CYiiistpQYMasd4pjYzJEULM2T4FCGQkaRve4KAJuH06v+8S0RExkj0pccB5keKnkTPj7HbZOqbklKBlnpdJaTbCeFIN6ghIiLSo8mT2EuPE0XT3LlzMWvWLKxcuRLV1dWYOnUqZs2ahauvvhrjxo1DRkYGNE1DQ0MDdu7ciRUrVuDdd9+FqgbvRL7kkktwww03AACOHz+O22+/HR9++CEAwGw24z/+4z9i9rVFkiEztXdzpjYRUbyQgQBa9+3XVUOYTEgeMsSgjojiGzNkz2QmWVHn0vd5tcHtRxo/rxIRxYVKp0d3jYIYLj1OFE2Jnh/jZlBb2FN0b2GvuZ3xM/WciKiPM2JQO8Me2x9TRu1Fw5XpKBRLlizBzJkzsWbNGqiqihUrVmDFihWdHn9yycOSkhK8/fbbba9v3rwZ77//ftsqBw8++CCGD9c/+BuPrNlZsOXmwFtT2+MariPH4G9phSUl2cDOiIioJ1xHj0Lz6ptp4xgyGIotthclmSEpmpghw2fEvtr1Lh8GZjoM6IaIiPTqDTO1mR8pmhI5P8bNGLCwp4Z9jpQSmscFtakWgepyBPZvjUBnRETUE4YsPx7jO981SMMeRN2x2+345JNP8Mc//hGZmZmQUnb5SEtLwxNPPIHVq1cjLS2trU7piWVb09LS8PTTT+ORRx6J1ZcUFSk6ZmsrdjsUqxV1a7tfaomIiCLPmP20RxrQiT7MkBRNzJDhy3SE/zlTkxJNbj/KGtzYW+nER6U1EeiMiIh6wphB7djeFMn8SNGUyPkxbmZqw54MQABd/KOTJ25XkX4fNHcrpLMe0NRTB3haIQM+CLM14u0SEVHnApqme48xkyKQbDUZ1BFRYjCZTPjJT36CO++8Ex999BHeffdd7N+/H1VVVfB6vcjKysKYMWNwySWXYO7cuXA4zpwdcuWVV+LCCy/E5MmTYbH0/iURU0cOR92a9V0eI6xW2AvyoJjN8Dc2wVffAADQPMElylpK9wNXTI94r0RE1LWWvXt114j1ftpEscAMGZ5QZmpLKaFJCbdPRYPLjyqnF4HTNip1+VWomoRJEZFslYiIutHiDei+BpliMyHFFj9DZUTRkKj5MW7+pQrFBNgcgLf15AuQtmQIxQzpaYXW0gitsRrwd7E/gtSg1R2HKX9QVHomIqKOHW/Sv5dNut3ctnRJzBi09A9vkqRw2e12XHXVVbjqqqvCPnf06NER6Ch+fXNfbXu/QqQMGwJzSgpUtxuuo2VoPXAI7qNlndaoW7cBw35yV6RbJSKibjRu3Ki7RsrI2M/UZoakWGGGDI3dbILDYoLLH5woY1YE0u1mmIRAs9uPSqcXRxpccPu1Tmt4AxoO17swNIdb2BARxdL2imbdNWK99DgA5keKmUTLj3EzqA0ASsFQSK8bsrUJamM1ZNVuSHdLWDW02mMc1CYiirHjTg8qnB5YTQrS7WbYTArUMENVRoyXHieixJA1ZTJGPXwfhNkET0UlGjdvQ93nGyADod+p3fjVdgRcbpgdSRHslIiIuqJ5PJDOWlhTrIDJAlhsCDhboHl9oRcRAsnDh0WuSSLqNSb1S0erL4CaFh+O1Luwtrwp7C209la3cFCbiCjGdlc2Y/fxZqTYTMhPs8NhM7dbWSMUsV56nIhCF1eD2pqzAf6tH+qqodYcA4dBiIhiq6zJA09AgyegofnEEkACQLLVhLxkGxwnlhV3+dRObyBMi4NBbe3EknNG1CECgKNHj7Y9Ly4u7vB1PU6v2VfYCwtw6IVF8Fb1fF9D6Q+gYdNW5E67wMDOiIgoHM6d2yGgwWw3IzjFxANTignSYYc5Kxem1HSo3gA8x48j0NTxjJyk4mKYkmJ/gxIzJBmNGdJ4RxtceP2r47pq7Kl24sox+QZ1REREPfFVeROa3H40uf0obwyuHGlSBLKTLRiam4oshwUagEa3v9NrkPEwU5v5kYzWW/NjXA1qKxn6g6BsroX0uSGssf8gS0TUF3kDGiqcZy4/LgG0+FS0+Fxtr2XYLeiXZkdGkhmKEGjxBtDsDUCTQIY99j+iVAmona84F1YdIgAYNGgQhBAQQiBw2kzik6/r8c2afYUQAunjx6C6arWuOvXrNnJQm4gohpq3bDrjNSEEhElAa6qD1lQHALAl25B59vmw5OQDMMFdWYnWvaXw1dbGzX7azJBkNGZI4w3MPHNfyHAdqnfBF9BgNSsGdEREROFqcPlwqM51xuuqJlHt9KHaWdf2WnFGEsYWpaIgLQkmk0BNqw81LV5oMj5majM/ktF6a36M/YjBaURKJmBLPrWvdg9ptWUwFQ3v/kAiIjJcWZMboa7y0+jxo9HjBwAoAihMtaM4w468FBtSbHH1I4rIMLKTu2Y7e526l1VyHqo/0jeoXbdO/z6uRETUc81bzxzU7oj0edG68+u2X1tz81Aw8xIkDR2J5FF9Z09g6nuYIY01MNMBu1mBJ9DzEYSAJnGgrhWj81MN7IyIiEK1tawp5GOPNrpxtNENADArAmML0zCxXxqG5KQgjdcgqZfqjfkxrv61CiFgyu0PtWyvrjpqDQe1iYhi5WRADJcmgfJmD8qbPRiYmYRBmbHfm4xL/5DRpk2b1uHdkJ29TqHJvmCK7hrNu/bA19gEa0a6AR0REVE4fDXV8Bzr2TJ4vppq1L7/LoB3Mfr/LTS2sR5ihiSjMUMaz6QIDM9NwfaKjrczCNWeaicHtYmIYmRrWWOPzgtoEtvKm7CtvAnThmZjYv8MQ/vqCeZHMlpvzY9xNagNAErOAN2D2lrtMYO6ISKicB1pPHPZn3ANzNC/FBxRPPr000/Dep1CkzJ8CGy5OfDW1Pa8iJSo37AJBTOnG9cYERGFpHnrZt01zJlZSBo02IBuiOIPM2RkjMrTP6i9t7rFoG6IiCgcmpQ9HtQ+XTwMaBNFQm/Nj3G36YuSM0B3DdnaCM3tNKAbIiIKR6PbjyaP/v00BmYkGdCNfpqUUA148C5JosgSQiCr5Fzddeq5BDkRUUx0tJ92uNImTo6bGQfMkESJYWReiu4aRxvcaPX1vT3JiYhi7WBdqyHXICf2j4/V2pgfiUITf4PajlSIZP3fSLQaztYmIoq2ni49froUqwmZSRYDutFPk6eW/9H3iPVXQtT7ZV9wnu4a3FebiCj6pKqiedtW3XXSJ55jQDfGYIYkSgxFaXak6txHVQLYV9NqTENERBSycPbT7szAzCRkJ9sM6EY/5kei0MTdoDZgzGxtrbbMgE6IiCgchiw9numIm1k2RLGmaRqqqqqwZ88e1NXVtXud2ssq0T+o3XrwMDyV1QZ0Q0REoXLtL4Xaon+ltdSzJxrQDVHvwAwZGiGEIbO191ZztUgiomjbeqxRd42JAzJ01yDqLRIlP8bloLYpV/+gtlp7DJJLLRARRY2qSZQ16Z+pHS9LjwOAqhn3IApVIBDA4sWLMWPGDKSlpaGoqAhjx47F4sWL244pKSnBzTffjB07dsSw0/ji6F+EpOL+uuvUredsbSKiaGoyYOlxx9DhsGRkGtCNMZghKRaYIXvGiEHtPdxXm4goqtx+Fbur9N9QFE/7aTM/UiwkYn6My0FtJbufrvOllFAb66BWHzWoIyIi6k6l0wOfqu9mIgFgQBwNahNF286dOzF+/HjcdtttWLVqFVwuV4c36e3atQuvv/46Jk+ejD/+8Y/RbzROZRswW7vi3ysN6ISIiELVvHWz7hppkyYb0AlR4mKG7LmRufoGtaWUOFDTgqMN+lctIyKi0Gw/3oyAznW2rSaBsQWpBnVElHgSNT/q2zgmQoTNAZGWA9lcG/I5UkpoPj9Urw+B1lZIrwfK4T0w5w+MYKdERHTSEQP2085PtcFuNhnQjTFO7kdjRB2i7uzatQsXXXQRmpub20Kk1WqFz+drd1x9fT1aW1shhIDf78e9994Lq9WKH/3oR7FoO65kX3Aeyv71VtjnKWYTLOmpUF2tcO7cCc0fgGKJy5hMRNSrqK2taN27W3edtDjaTxtghqToYobUJzfFhmyHFXUuX/cHnyClhMenwuMNoKnVB5dPxYaDdSie7Ihgp0REdNLWskbdNcYVpsHGa5DURyVyfozLmdoAYApxX21NA/x+wFPbCE9FBfz1dZBeDwDAe2B7JFskIqLTGDGoXRxns7Q1KaEa8GCgpO6oqoq5c+eiqakJUkrMnDkTa9euRVNT0xnHZmVlYcuWLbj88ssBBC+q/fznP0dZWVm024472SXnhnxs0oBCpAwbCEuKDYpZQG1tAaSE2tKK+i82RLBLIiI6qXnbluCHeh0Uux3Jo8YY1JExmCEpWpghjRHyEuSahAhoqKxtxaFKJyoa3HD5VADAZ/tCn5hDRET6bDFgUDuelh4HmB8pehI9P8btoLbS2b7aiglIzYVqzYCnyQ330SPwlR+B1tp8xqFqbQUCdZUR7pSIiOpbfagwZD9t3tlOfdPLL7+M0tJSCCFw9913Y+XKlbjgggtgs9k6PP7ss8/GypUrcffddwMA3G43XnjhhWi2HJes2VlIHTW8w/eSBvRHzsUXIPv8SbBmpsBfUwNPWTlkQD3j2Mp3P4h0q0REBKDxk5UQFouuGqnjz4aiswZRomKGNMaoTga1rSYFxel25NrNaGryYNexRuwsb0KDy3/GsV+XN6Ha6Yl0q0REfV5pZTMqG/V/v423QW2iaEn0/Bi/g9rZRYBQACEgMgugFI+FljUIXlcArds3wVO6DWpDdbd1vPu+inyzRER93NbyJuyrbsW+qhYcb3BD0yQsigirhtWkoCC14x+esaIB0KQBj1h/IRT33noruGR2YWEhnn766ZDP++1vf4uioiIAwAcfcCAWALJO7Ktty81BwewrMPjO76Ho6isgva1o3LARTV99Dc3d9Qfgmo9XQ/XwoiQRUSRpfh+0ujKk5CXBkZsMe246rLk5gAgvQ8bjftrMkBQtzJDGGHFiUFsRwNDsZFw0KAtjc5LhavHiva8rsHpvDcpDWJls1d6aSLdKRNTnfbqnGscrnaiuakFzoxsOkwK7ObxhruxkK4oz42y1SDA/UnQken6M280ChdkK8+QrEKiphPfAdvi/2gj0YOkEb+lWOKbMhAjzgzEREYVuw9EGAICqSTR7Amj2tAAAHFYThuYkI8VmRpPXD62Lb+MDMuxQ4ux7tapJqF01HUYdoq5s3boVQgjMnj0bVqs15PNsNhtmz56NhQsXorS0NIIdJo7i+TchY8IYNH29A9UffIzauvqwa6itrahbsw5537osAh0SEREAtH69CZrHBSEEzLaTlyb8sBWmAknpgC0Fnqoa+Ou6XtI3bVJ87acNMENS9DBDGiPdbsHt5xbjUG0LVu+rxb+39GxJzY/3VOOmc0LbTpGIiMInpcTKrysAAJom4XIHcLAsuGSyw27GiH5psFhNON7khdrFWNLEfulxN17E/EjRkuj5MW4HtQEgUHUcrWve0VVDa6yFWlMOc15/g7oiIqLTHW/y4Fgnd627fCq2Hw9uD5FiNWFsYRqykq1o9PjR4G6/ZBuXHqe+rLY2eMF+4MCBYZ87YEDwwllLS4uhPSUqe0EeNt74W6gtrbrqVK78kIPaREQR5Nz4WYevC0UA3mbA2wy7XSJtytkQKdnw1TeiZddOaN5TK2lY8wpgK+wXrZaJ4g4zpHF2lDfhpfWHddXYW+VEWYML/TP52ZaIKBK2lzWhrKGTa5CeAL46ELypPSvZiklDspCabMXhBjcqmtuvxDZpQEakWyWKW4meH+N6UNs6/Cy0rlkGQN/dJd7SrRzUJiKKkI0nZml3p8WnYsOR4LE5yVZM6p+OglQ76j1+HGt0Y2BGfC37AwTvANV6sEpIR3WIupKamor6+no4nc6wz62uDm7Hkp6ebnRbCclksyFvxqWoWLpcV53aT9cg0NoKc3KyQZ0REdFJakszWnds7fY4IQT85YcAHIIwm5E/fSpM+QPgb2xG81dbkDxqTNzNsgGYISl6mCGNc9moPN2D2kBwCfL554d/kZiIiLp3cpZ2d+pbffhoeyUAYFBOMi4fmYucjCQcrG/F9uPNOKtf/P3sY36kaEn0/Bi3e2oDgCklHZZ+Q3TX8e7bBim5mwARkdE0KfGJVqMmAACt8klEQVTlsdAGtU9X2+rDB3tr8PKmY9hxvBnnFKUjzW6JQIdEiWHw4MGQUuKzzzqetdYZVVWxfPlyCCEwePDgCHWXeApmXa67hub1omZVeP9/EBFRaJyb1wGaGtY5MhBA69cb0fzhEnh3rUfO+ZPRb/6tEeqQKDEwQxqnOMuB4Sf21tbj473VBnRDRETf5Fc1fLizMuzzDte24uXPD+P3K3bjSHkzfnD+QF6DpD4t0fNjXA9qA4B1xETdNTRnAwIVRwzohoiITre/thX1Ln/3B3bhcL0LtS6fQR0ZS5XGPYi6MnPmTADAunXrsGrVqpDPe/LJJ3Hw4EEAwIwZMyLSWyLKnHIuLJkZuutUvfuB/maIiOgMnS09HiqttQXOLetgSorP1TSYISlamCGNddnIPN01DtW24mAtl3QnIjLauv21aHLruwa59WgjapxegzoyFvMjRUui58e4H9S2DRsPKPrb9JZ2v7QZERGF5+Ry4nqdOyDTkDpG004s/WPEg6grd911F+x2OwDgpptuwrp167o83uPx4MEHH8QjjzwCALBYLLjjjjsi3meiUCxm5F8+XXedus+/gL+xyYCOiIjoJF91BTwHS3XXSZ18IYQ5PmfZMENStDBDGuuyUfoHtQHgkz2crU1EZLRQlx7vikkR+NbYAgO6MR7zI0VLoufHuB/UVpJSYBkwQncd775tkGEub0ZERJ3zqxq2lDXqrjM8JxnZyVb9DRElsP79++Pxxx+HlBJ1dXWYNm0aZsyYgfvvv7/tmJ07d+LFF1/EnXfeieLiYjz11FOQUkIIgfvuuw+DBg2K3RcQh/Kv1L8EuQwEUP1R6HetEhFR95wb1xhSJ3XKNEPqECUyZkhjFaTZMa4oTXedT/ZWc09TIiIDOT1+rNlbo7vOhcNzkOHgNUjq2xI9P5pj9juHwTZiIvxH9uiqId0t8JcdgLVY/wA5EREBX1c0wxPQdNc5b2B8ztIGAFWTUDX9FyOMqEG937333ovq6mo8/fTTkFJi1apVWLVqFYQQAIBFixZh0aJFANDuItm8efPw+OOPx6LluJYx6WzY8vPgrdI3U6Zq5Qfod/01xjRFRNTHSSl1Lz0OAJbcAtgHx+9ne2ZIiiZmSGNdNjIPO44366pR3ujBnionRhfoHyAnIiLg411V8Kn6r0HOGl9oQDeRwfxI0ZTI+THuZ2oDgHXIWMCkf/zds3uTAd0QEREAbDRg6XGzIjCpX4b+Zoh6iaeeegpLly7F2LFjIaXs9AEE76xcuHAhFi9eHOOu45NQFORfoX+Pn/qNm+E+rn+ZMyIiAjyH9sFfU6m7Tup5U9suuBARM6SRLhmZC8WAby8f7NT/vY6IiIKMWHo82WbGRSNyDeiGqHdI1PyYEDO1FVsSrINGw3dge4/OV70++Fq8cK76ECkXXwvFnmRwh0REfUuLN4AdlfruXgeACYVpcFhNBnQUGdKgvWi49ByFY86cOZgzZw7Wr1+P1atXY9euXaivr0cgEEBmZiaGDBmCadOmYfr06TCbEyLKxUz+rMtxdPGrPT7fZDPBluZAxRtvYsh/3W1gZ0REfZMRs7QBIPW8+F56nBmSYoEZ0hjZyTacPSADW442hn2ulBJqQIP0aXh9zWH88OKhsJrj9/MuEVEiqGxyY4sBE2tmjMmH3RK/35OZHykWEjE/xkcXIbCNmBjWoLaUEgGvCr87gEDjqW96zi8/Q/rUmZFokYioz9hc1ggjVrOJ56XHAUAFoBrwdar6S1AfVFJSgpKSkli3kdDSxo1B0oD+cB8rC/kcoQg4inIhfW5Ivx8y4Ef9Z6sx+Mc/hIiTAE9ElIhkwA/nps9117EPGg5rXvwuHQkwQ1JsMUPqN31kXliD2lJKKKqEEpBocnrbXn//60rMntQvAh0SEfUdRszSBoBZE5gfiTqTSPkxIZYfBwDroNGAxdrtcRoEAqZUuGpb4a6oaTegDQDNa96H1PTvv0BE1Je9u0v/UmrJVhPGFqQa0A0RUceEEMifdXlIxzoG9kPG+OGwZ9ihtTZD+v1t73mrqlC3dm2k2iQi6hOaP/8QWqtTd53UKfE9S5uIEt+04bkwhbAGuVUBipKskK0BNDR4UH/agDYAvPr5Ic6YIyLSQUqJ19Yf0V0nP82OiXE+sYaIQpMwg9rCYoVtyNiO31RMUHKLEbDnorWsFq79pVBbOv6w7K+phHvPtgh2SkTUu+2qbMa2Y02oavJAAOjpdmOT+2fArMT3jyHtxNI/RjyIKDYKrvxWp+8l9e+HvBnTkDluKGRzHbxlx4BO/r1WvPFmpFokIuoT1OP7kNwvB9asdChJPdwSTDEh9ZwLjW0sApghiRJbWpIF5w3qePDDahI4qzANw9OT0FDrxq6jjWh2+zs8dld5M74yYMlcIqK+6vO9NThW4YSn1QeHWenxNcgrxhdCET09OzqYH4lCE9+jCd9gGzHp1C+EgLn/MJiHnQMfUtG4cQNcu7+G9Pu6rdP02XsR7JKIqHdb8tVxSACt3gAOVLfgUE0rvD4VabbwluU9r5h3SBJR5KUMH4bkYUPafm3Lz0O/G69B8Xeugdnkh3PzRnjKy7ut07xtG1pKSyPZKhFRr+WvOAr/sf0wWS2wpzuQnJ8OR2EO7P0HQFhtIddJHjsRppS0CHZKRBQ0fVR+23OTAM4dlImrRuej0GbB6q8r8eX+OvhDWCf21c8PR7BLIqLe7W+r9gMAAn4N1bUutDR54FAEclNCz49A/C89TkShS6iNAS3FI2ApHglzv2HwNzaheeNnCNRWhV3HvXc7fFXlsOZzXxsionBUNHmw7lBdu9c0KVHe6EZ5oxtpdjPG90uHJ6ChoZO71QEgJ9mKIdmOSLerm6YBmgGbh3PXC6LY6n/jdWjZfwBpY0bA+fU21H3yIaCGv9NUxRtvYPhDD0WgQyKi3q31y4/b/VoIAbPdAiAAS2EmZFIGAj4NnsMHAK3z78+JsvQ4MyRR4rtwaDbOGZiJ8wZmor7Jg3c2leHDRk/YdT7eWYXKRjcKMnq4QgURUR+1p7wJ60tr270mJVBd7wbq3UhPtmJUcQaqnB7UtnQ+0XFEQSqG5qVEul3dmB+JQpNQg9rCZIZp8Nmofm0hpNetq1bTZ+8h94bbDeqMiKhvePvr4+gqXzV7Avj8QB1MisD5gzKRl2bHvppWuPztL06eV5wJEefL/gCAJoEQbr4PqQ4RxU6/m+Zi+49+jMMfvqurTs1HH2PgD38Ia1aWQZ0REfV+anM9vHu/6vR9oQgIbxOsAGzjRgNpufCUHYP38P52xyl2B5LHT45sswZhhiRKfA6rGRcPzsYTS3fC4w//ZsiTVE3in+uP4J5Zowzsjoio91v06YEu329q9WHD7mpYzQouHJ2H5GQLvjzUgFZvoN1xVybILG3mR6LQJNTy4wBgLeyve0AbAFo2rYXqajGgIyKivqHZ48d7u0NbHUPVJD4/WI+3vzoOMySmD8/B2UVpMCvBgWwuPU5E0aSYzbDl5uquI/1+VL7zjgEdERH1Ha5NnwIytCkj0lkHWb4HSckKcudcj8xvXQ1LTnAJ4JRJ50MJY6lyIiK9huan6BrQPmnJxmNw+/TXISLqK6oa3VixpfttwgDAF9Cwanslln9xDCOyHLjtwsGYOiIHJkVAEcDl4woi3C0RRVNCzdQGAGteEZJGnwX37m266kifF84vViHjstkGdUZE1Lu9u7MK3kD4a9h8Vd6Mr8qbMSjLgavGFSA/zY781MS4IKlJCU0asPSPATWISJ/CG65H3erVuutULl2K/vPmQbFYDOiKiKh307xuuL9eH/55Lie82z8HzBZkXjQVpryBsBYMiECHkcEMSdQ7jO2fgbMHZuKrIw266jS7/VixtRzXTyk2qDMiot7tlTWHEOjBlOM1u6uxZnc1xvRPx3/PGI6sdDtyU+0R6NB4zI9EoUm4mdoAkD7tCkPqNK/9ELIH+ykSEfU1PlXDO9uP66pxuN6FZz87eMYyQPFMldKwBxHFVtpZZyF5+HDddfx19aj95BMDOiIi6v3c29ZB+sLfg7ZNwA/Pts/h/epTWAr6GddYhDFDEvUe371wkCF1Xl13GJL/pomIutXqCeBf6w7rqrGrrAmPvP41LIj/rQ9PYn4kCk1CDmonjZwAS16R7jqBhlq07thsQEdERL3bp/tqUO/y666Tk2zF1CHZBnRERBQeIQQKb7jekFoVb7zJi5JERN2QqgrX5k8NqeU451IIkTgXJYmo97hsbD7y0/XP8jtQ1YIN++sM6IiIqHdbsuEonB79E2IG56Vg6qg8AzoioniSkIPaQgikT5tpSK3mz94zpA4RUW8lpcSSr/TN0j7pmgmFMJsS50ePpknDHkQUe7nTp8OSkaG7TsuePXDu2KG/ISKiXsyzZws0Z6PuOkpyGuyjJ+tvKIqYIYl6D4tJwU0lAw2p9Y/PDxtSh4iotwqoGl7+7KAhtRZcPASKkjg3RTI/EoUmcUYWviHlnKlQkhy667gP7IZr704DOiIi6p02H2vE4XqX7jpJFgWzxhQY0BFR36FpGqqqqrBnzx7U1dW1e53Cp9hsyL/makNqlb/6qiF1iIh6IyklXF8as1WDY9I0CLPFkFpEfQUzpLGuO3cA7Bb9l1A/21OFXcca9TdERNRLffh1BcoNuAaZlWLFnHMGGNARUd+RKPkxYQe1FZsdqedf2uPzpZTwu31wN3hQ8frfDeyMiKh3MWqW9hWj85FiMxtSK1o0AKrU/4ivH/0U7wKBABYvXowZM2YgLS0NRUVFGDt2LBYvXtx2TElJCW6++Wbs4GzhsBVecw2Eueffi4QiYMtywLv/K7jLjhrYGRFR7+E/ug+B6jL9hSxWJJ19kf46UcYMSbHADBk5GclWfHtivx6fL6VEwK9C86r488o9BnZGRNR7SCmx6NMDhtS6+cJBsFtNhtSKFuZHioVEzI8JO6gNAGkXXQ70YF+tgE+F1yXhqW+F6vagZfs2uA6URqBDIqLEdrC2FVvKGnXXUQRwzYQi/Q1FmSalYQ+iUOzcuRPjx4/HbbfdhlWrVsHlcnW4d/OuXbvw+uuvY/LkyfjjH/8Y/UYTmDUnBzmX9eDGSAE4irLhyE+B2QJA01D5z5cN74+IqDdoNWiWdtK4KVCSkg2pFU3MkBRtzJCRd/MFg8I+R0oJaBI2Cfg8AXh8Kj75ugIHKp3GN0hElOC2HKrH10cbddexWRTcfOFg/Q1FGfMjRVui5seEHtS2ZOXCMf6ckI/XFCt8mh3ummb4G5vavVfx2iKDuyMiSny//8iYG36mDs1BQZrdkFpEvdWuXbtw0UUXobS0FFJKSClhtVrPOK6+vh6tra0AAL/fj3vvvRfPPfdctNtNaIU33BD6wQJIHTEIKf0zIVQ3oKltbzWtXwPXft4YSUR0ukD1MfiPGvG9UcBxTs9XZyPqK5gho2N4QSqmDMsO+fgUqwlZNjNcrT40tvraXtck8MfluyLRIhFRQvvVG18bUufqcwYgO9VmSC2i3iqR82NCD2oDQPq0K7o9RsnMh5qUi9ZjVfBWVHR4TMvXW+Hc8ZXB3RERJa49Fc3YtL8OziYPTJqEEv7CGG2uOyvxZmkDgCqlYQ+irqiqirlz56KpqQlSSsycORNr165FU1PTGcdmZWVhy5YtuPzyywEEZ4D8/Oc/R1mZAcu89hGpo0cjddy4Lo9R7HZkTZmEtCH50JqqIX3eDo+rePWlSLRIRJSwAqUbkDygALacLChJjh7XsY2YAHNmroGdRQ8zJEULM2R0fTeE2dqDcxwYmG5HdZ0L5XUd7wv73tbj2H6kweDuiIgS1xelNdh5pAEBXwBJFkXXNchbLx5iXGNRxPxI0ZLo+THhB7XtQ0bB2m/gmW8IAdvQcRD5w9C0szSkWTSVry7qcHo9EVFfI6XEsx/vAwBoqkR9oweN9W4kmwTs5vB+dIwvSsPI/NRItEnUa7z88ssoLS2FEAJ33303Vq5ciQsuuAA2W8d3F5999tlYuXIl7r77bgCA2+3GCy+8EM2WE15RJ7O1bfn5KPj25Ugbkgfv4T1QW7peHtK5bQuc27+KQIdERIlHrToCreowhKLAmp4KR2EO7EUFMGXmhF3Lce5lEeiQqHdhhoyuaaPyMCD7zJt1TIrAhcNzcHa/NOw81IDdZWdeFP6m3y3jbG0iIgDQNImn3toOAJASaG7xwesJIDvZCrslvGuQl47NxxBegyTqUqLnx4Qf1BZCtJutrdgdSDl/OizDz0Hd5+vRvOVLQGoh1XLt34vmL9dHqlUiooTxxcE6bDrc/s5xKYHjNS5UVbeiwGFBdvKZS5J0JFFnaQPBYK0a8NA03jBFXXvrrbcAAIWFhXj66adDPu+3v/0tioqC/8Y++OCDiPTWW2VdPA3WvLy2X6eedRaKvz8fyf0y4Ny0Fv662pBrVfzjJd4YSUR9npQSvh2r270mhIAlyQZHVjIcgwbC0m8QILqfemMpGgRrv8ScZQMwQ1L0MENGl6II3FxyamJNhsOC75xfjEtH5OCTr45j3Z6akGt9vqca6/eGfjwRUW+1cks5tnewl3ZlvQvOFh+G5iWHvJz4gkuGGtxd9DA/UrQken5M+EFtAEieWAL7kFHIvOq7sI67AFXLl6N+1QeQaiDsWhX/XAx52l6JRER9japJPPvx/i6P2VvWjMNlTRidnYyhOcmdHtc/w44pg7KMbjFqjAiTJx9EXdm6dSuEEJg9e3aHe9h0xmazYfbs2ZBSorSUezuHQzGbUXTTjci78koMf+h+2FMV1L27BN7yY2HXcu3bg6aNvDGSiPo29dhuyMbqTt83mQC7XSJl5CjYR54FYen8553j3OmRaDFqmCEpWpgho+/qc/rj7IGZ+Nm3R+PyMfn4x6cHsOzLsh79e33mnZ28MZKI+jSvX8Uz7+zo8pg9x5pQU+/ClKHZGF7Q+Szssf3Tce7QbKNbjBrmR4qWRM+PvWJQW7FYkT7zBpT/42XUvPMGNK+nx7W8ZUfR8NknBnZHRJRYVm6vwIHqlm6P0yTwxb5a7DxYj6kDM3FecSa+Oe9m7ln9oIQwG4eor6utDc4KHjiwgy1VujFgwAAAQEtL9/9uqb1+N90EsyWA4y/+Ga59e3XVqnz1JUiVN0YSUd8k1QD8O9eGdKzwu2AJNCJ13AQ4Jl8MJTmt3fumjBzYhk+IRJtEvQ4zZPSl2C2469Kh+P3SHVi06gC8/tBWh+zI10ca8NHXFQZ2R0SUWF5bcwjH6lzdHqdqEmt3VeFwpRNXT+6HC0fmnnHM9y8dBsFrkETdSvT82CsGtQHAXjwIwmQypFblG69A8/sMqUVElEg8fhULPz0Q1jnegIblW4/jy9IaXDe+AN8ekw+bWUG63YwZHYTMRMK7JClaUlODdxs7nV3v39yR6urgrLj09HRDe+orkgYbszyZp+woGtbwxkgi6psCB7ZCuprDOkc218DUeBipZ09G6qXXwJwbXMrOMfkSCCWxL1UwQ1K0MEPGxuj+xv2Z/X7ZLv5bJ6I+qdnlw19W7gnrHJc3gDfXHcHOw/X40beGY+55A2AxKSjMTMLMswoj1Gl0MD9StCR6fkzsT4qnMdmTkHftdwyp5a+pRt1HKw2pRUSUSF7feAw1Tm+Pzm10+fHX1Yfw2c4q3HHeQDw0cyRsZmNuNiLq7QYPHgwpJT777LOwzlNVFcuXL4cQAoMHD45Qd71b7revhTk9w5Balf/6O2+MJKI+R/rc8O/5osfna5UHgWNfIWXCZKRffRvs4883sDui3o0ZMjYyU2y4fcZwQ2rtr3Ri2Zfhb39DRJToFn5QiobWnn1+rmn24k/Ld2PTvlo8dv0EPD1vEsymXjPURRRRiZ4fe9W/9OxvzYIlN8+QWtVLXoPqcRtSi4goETS6fFi87pDuOmUNbjz78T4MzU4xoKvY0qQxd0ryJknqzsyZMwEA69atw6pVq0I+78knn8TBgwcBADNmzIhIb72dKSkJ+dd/15Bavuoq1H3IGyOJqG/x79kA+Ht2U2QbKaEe/homEYBitRnTWAwxQ1K0MEPGzvcvHYaslND3oezKn5bvhtfPbWyIqO84Xu/ColX7ddc5UOnEM8t2YNyADP1NxRjzI0VLoufHXjWorVisKLhhniG1As1NqF2x1JBaRESJ4KW1h9DqNeaD9G1TByPFbjakVixx6R+Klrvuugt2ux0AcNNNN2HdunVdHu/xePDggw/ikUceAQBYLBbccccdEe+ztwreGJlvSK2qN1+F6uaNkUTUN2itTQgc2GpILeFIg3noRENqxRozJEULM2TsJNvN+NEVowypVV7vwr8+P2xILSKiRPCn5bvg9WuG1Prv2WNhsyT+SpHMjxQtiZ4fe9WgNgBkTrsMtv7FuutITeLY4pfhqa4yoCsiovhWVu/Ckk1lhtTql5GEuZP7G1KLqK/o378/Hn/8cUgpUVdXh2nTpmHGjBm4//77247ZuXMnXnzxRdx5550oLi7GU089BSklhBC47777MGjQoNh9AQlOsVhReNN8Y4r5XKh65XljahERxTn/rs8BzZibIi1jL4IwJf5NkUTRxAwZW9+5aBD6ZTl015FS4vfLdqKph8vwEhElkj1lTXhrw1FDao0sSsM1U/SPBRH1JYmeH3vdJ0ahmFD4nVtx+JnHe3S+lBIBr4aAR4Pm9eHo8wsx4pe/NLhLIqL48vynBxAw6E6+H1w6FJZeso+NUXc48i5JCsW9996L6upqPP3005BSYtWqVVi1ahWEEACARYsWYdGiRQCCeeWkefPm4fHHe5Z76JTMaZeheunr8JT17MO1MClwFOXAJFR49m6Fr/o4rHlFBndJRBQ/tMYqqEd3GVJLZOTBNGC0IbXiATMkRRMzZOzYLCb85NujcP/ft/TofCklTCYBRSho8QTwu2U78aube8eKFUREnfnt0h2QBkWcn187DiZFGFMsxpgfKZoSOT/2jlGHb0g7twSO4SPDPk8LaFBlEnxNHmje4N2RtR9/hIYNG4xukYgobqzcdhwf7TJmVYrRhWmYPsaYJXyJ+qKnnnoKS5cuxdixYyGl7PQBBO+sXLhwIRYvXhzjrnsHYTKh4Lvf79G59oIcpBbnwiROzFZUA6h942/tgj8RUW8ipYRvyweG1bOOu7jtAgoRhY8ZMnauPq8YwwpSwz5PQCI71QZVlfAHgkvwvrrmELYcqDO6RSKiuPHypwfwmUHXIEtG5mIar0ES9Vii5sdeN1MbAIQQKLh5AQ7+6oGQjpdSQsnIh+dQGaT/zPB48Pe/w9mLFsOUlGR0q0REMeUPaHjxk/0I+AKw2y26Z2v/5/RhUHrRBUnNoLsktQS5S1JKiYsuugjr1q3DSy+9hAULFsS6pS7V19fjL3/5C5YtW4bS0lL4fD4UFRWhpKQEd9xxBy6++OIe1965cyfOPvtsBAKBqA9MzpkzB3PmzMH69euxevVq7Nq1C/X19QgEAsjMzMSQIUMwbdo0TJ8+HWZzr4xyMZN+Xgkcw0fBtW9PSMdbMtOR3C8XWnMDoAbavefZvwstG1cjdcolEeiUiCi2ZH05FJsdMikF0t2iq5aSPwim/IEGdRYf+lKGZH48JZb5EWCGjBWTIvDT2WPw4xdCmxAjpcSQ/BQcrWlFndN7xvsPvboV7zxwGazmXjkPiYj6MLcvgJc+3g9FAIoiEFD1/ay8/9pxveqmyL6UHwFmyNPxGmR44qOLCEgddzZSxk9Ey/atXR5nKSyGp6YJrtJDnR7jrazEsUUvYdAPf2R0m0REMfW31Qewvyp4IdLv8yIr3QavJtGT/HPhsBxMHpRlcIexpUqDlv5JkNmav/nNb7Bu3bpYtxGStWvX4vrrr0dVVfs7fA8ePIiDBw/iH//4B+644w785S9/gcViCau2y+XCLbfcgkAg0P3BEVRSUoKSkpKY9tDXCCFQeMv3ceDR+7s8TnE4kDFhLAKVh4MD2p2oW/YPOMZMhCk13ehWiYhiRvq90I7tgmJ3QNiSIN0tUJsbID2tPapnHTfN4A5jry9lSObHoHjJjwAzZCx866xCTBiYia+PdJ4LAWDsgHTUO704WNX5zUD7Kprx4oel+NGsUUa3SUQUU39avhtl9S4AwQHtdIcFTre/R9cg55w7AOOKMw3vMZb6Un4EmCFPipcMmUj5sdcOagNA4c23Yl8ng9rW/sUQSVmo/3wdQtnE4fgbbyBn+gykjBhhdJtERDGxv8qJ//tkf7vX6pu8EAIYXJiGimZPyLUUAfzosmFGt0hR9NJLL+EXv/hFrNsIyY4dO3DFFVegtTV48XzEiBGYM2cOUlNTsWnTJrz77rtQVRUvvPACAOD//u//Qq7t8Xhw3XXXYdu2bRHpneJf6vizkXrWJDi3nbk3orBakXXBhdDqyxE4frDbWpqrFXVL/468+f8ZiVaJiGJCO7oDUP0AgjcDCUcqRFIKNI8LakMN4HOHXMs0cCyUjLxItUoRxvwYxPxIQgj87Oqx+N7/W9vh+6P7pSEnzR7ykrvPrtyDWZP6YXB++MuaExHFo22H6/HSadcghRBodgcgABTnJONobeg3R1rMCn46e0wEuqRoYYYMYobsmV49qO0YNhLpUy5E04bP216z5hcgefy5qH7/I/hqd4deTFVx4JlnMOF//xfCZIpAt0RE0aNqEo++ub3DpX6kBA4eb0ZOmg15WQ4cCiFYfvusIgzNS4lEqzGlGrT0jxE1IkVKiSeeeAK//OUvE2L/XyklFixY0BYm77rrLjz77LPtlsBZs2YNZs+ejaamJrzwwgu47rrrMHPmzG5rV1RU4MYbb8TatR1fjIqkl19+ucfnKooCm82G5ORkFBQUYMSIEUhJ6X3/HqOp8Lvfbz+orSjImnYZLEkK3Ds3h1WrZcs6pJw7FY5RZxncJRFR9GkNFZCNlWe8LoSAKSkZii0Jmj8Atfpo28B3pxQTLGMujFCnsdXbMyTz4ymxzI8AM2Q8KRmZiwtG5WLdnpq214bkp2DamDws+7IMu8qaQq7lC2j4xWtf4e//dVGvWlqXiPomX0DDA69s6XBGtoTAsToX8tOTkGw3dbmSxUnzLx6CATnJEeg0tnp7fgSYIU/Ha5A916sHtQGg4KbvoWnjepgzMpD1rdlo2vo1yv7xzx7Vat27BxVvv4Wi628wuEsiouh69fPD2H6ssctjapu9qG32YsrwHDR6Azha7+rwOJtZwR3ThkSgy9jr7fvZVFVV4fvf/z5WrlwZ61ZCtmzZMmzeHBxUnDBhAp577jkoSvv95qZOnYqXXnoJc+fOBQD88pe/7DZQfvjhh5g/f/4ZSwlFy4IFCwy7YCWEwFlnnYV77rkH8+fPN6RmX+MYNgLp51+Epi/WIv2CaUgfNwbNn70Lt6tnS+vWvvE39P/5U1BsdoM7JSKKHhnwQzu6s8tjhKLAZLNCKR4JzeeDenxfpyujmYdNhuJIi0SrMdebMyTz4ymxzo8AM2S8uXfOWKzb8ymKMpNwy7QhWL+3Gi99cqBHtb4orcFbXxzFdSUDDe6SiCi6nn9/L/ZVOLs8prrZA9kkccGoPByracGxuo6vQaYlWfCjK3rn9gy9OT8CzJCni3WGTPT8qHR/SGKz9y/GoPt+gcwZV+PoXxehXuedD0dffBHeGH5gISLS61hdK579YG/Ix2/YV4vqehfmnFWI7GTrGe/fPKUYeWkcqEkkbrcbv/71rzFs2LC2MJmamoqLL744xp11b9GiRW3P77///jPC5EnXXnstzjorODN248aNKC0t7fC4vXv34uqrr8bll1/eFianTJmCnJwcYxsPgZTSkIemafjqq6+wYMECzJ07N+b78iSqovm3Y8iDj8Fml2h87w1oPRzQBoBAfQ0a3n/LwO6IiKJPK9sFBLwhHSukCpPFBMuoKVAKOrj50WqHZeR5BndIkcT8eEo85UeAGTKeTBiYib/cOQU3Tx2M/7diN9bsrtZV78m3tqPOGdr3XSKieLS3vAn/+15o1yCFEFi/twY+VcN3LhqMzA6uQf7wipHI6OB1il/MkKfEU4ZM5PzY6we1AcAxbBTKFi+G6ur4Dp9waG43Dv7hDwmxPAIR0TdJKfHYkh3w+LWwzmto8eFfnx/B0CwHbjm/GA5rcBuGDIcF8y8YFIFO40NAk4Y94sm//vUv/OIXv0BLS3BZp0mTJmH9+vW45JJLelRPSok333wTN954IwYOHIikpCRkZGRg/Pjx+OlPf4o9e/YY0ncgEMDHH38MILjcTXd3Ps6aNavt+dtvv93hMXfddReWLVsGIPgB6u6778ann36K5OToLmX12muv4ZVXXsHAgQPb7pZMS0vDTTfdhCeeeALPP/88/vd//xdPPvkk5s2bh9zc3Laek5OTMW/ePNx000244oorUFxc3BYu33nnHdx7771R/Vp6C1tBEfzlB+HZv8uQek2r34W3/LAhtYiIok1rroGsKwv7POFugjklFdaJMyAyC9tet4wqgbD23psie2OGZH48JV7yI8AMGY/GDcjAX1bugcev6q7V2OrDb5Z8bUBXRETRF1CDy46Hm2eqm7z41+eHUTIyDwsuHQqbJTiEVZSVhO9dMjQSrcaF3pgfAWbI08VLhkz0/Njrlx8HAEtGBgb+8Ec48NunDKnXsH4d6lavRk4P/+EREcXKW18ew5cH63p8/urd1dhyqB4//NZwlDd7MDQvFcm2PvGjpFfKysrCww8/jLvvvhtmsxlvvPFG2DWOHDmCG264AV9++WW71z0eD5qamrBjxw78+c9/xs9//nM88cQTupa32bdvH5zO4JJVw4cPR3Z2dpfHn3/++W3PN2zY0OWxU6ZMwe9//3tccMEFPe5Pj5tuugm33XYbjhw5AiEEHnjgATz88MNISkrq8PhAIIBnn30W999/P1wuF/Ly8vDMM8+0vb906VLcfvvtaGhowLPPPou77roLY8aMidaX02tkzpyL1q++QKChVn8xTUPtv15E0T2/gujk7l4iongk1QC0I9t7XiDgAxrKYSkeAQw5C4Fje2AecpZxDVJUMT+eEuv8CDBDxqOiLAd+OnsMfrNEx/fN07yz8RiuOa8YU8fkG1KPiChaFq06gO1HG3t8/sqt5chMseKBuROw42gDSkbmwmYxGdcgRRUz5CmxzpCJnh/7zBW1vCuvRNrZEw2rd+hPf0TA2fVeEERE8aSqyY3fr9B/t5rTE8Bv/70bqk/DdZP7G9BZ/FJP7GdjxCOe5Ofn48knn8SBAwfw05/+FGZzz25MOHToEM4///y2MJmVlYUFCxbg17/+NR566CHMmDEDQgioqoonn3wSt99+u66+9+3b1/Z88ODB3R5fXFzc9ryzpX+mTp2KZcuW4YsvvojpBcn33nsPixYtghACv/vd7/DEE090GiYBwGw245577sFf//pXSCnxhz/8AWvWrGl7/5prrmm7+xMAXnrppYj231spNjtybrjNsHreYwfRvOZ9w+oREUWDVr4H8Ln1F2qqBhrLYZvybQhT774psjdmSObHU+IlPwLMkPHqe5cMxbjiDMPq/fK1rXD7uBw8ESWOw9Ut+ONy/aueNbT48Njr25CXkYSrzyvu/oQE1hvzI8AMebp4yZCJnh979yfJ0wghMPTee/HVbd+H9Pt113NXVOPr/74fk154zoDuiIgiS0qJX7+9Ey1eYz4IKwKYPamfIbXimSZhSBg8vURFRUW3x/fvH9mbBWbNmtVuWZyeUFUVN910EyorKwEAt9xyC55//nmkpKS0O27Dhg2YO3cujh8/jpdeegkXX3wxbr311h79nqf/2YXyZ9Sv36m/oyf3qvmmxx9/vEe9GG3hwoUAgPHjx+Oee+4J+bx58+bhueeewxdffIE//elPmDp1att7F154IaZNm4bPPvsMq1evNrrlPsMx+mwkTyxB69b1umsJRYF70wdIHjcR5uwCA7ojIoos2VIPWXPEsHoiLRfC2vkFk96iN2ZI5sdT4iU/AsyQ8cpsUvDr707E3KdWwYixhbIGN+5dvBnP3TFFfzEiogjTNIkH/7EF3jC3PuyMxaxg9jm9e1IN0DvzI8AMebp4yZCJnh/7zExtAEgqLkb/+d/TVUNKiYBfwOf0o37dl6hYvtKg7oiIIue9bRX4bE+1YfXmTx2McQMyDKvXl5x33nkYMGBAl49EsGTJkra7Iy+//HK8/PLLZ4RJILikzptvvtm25M9jjz0GVe3Z/nJNTU1tzx0OR7fHn36X4ennxqMNGzZACIErr7wy7HOnT58OAFi3bt0Z702aNAkAUF5erq/BPi772u9BSer+71xXTHYrUgYVwWxR4PzgNcgAZ9sQUXyTmgr1sIF7uZosUAaMNa5eH9MbMiTzo/GYIePXuOJMfP+y4brrpDgsMFtMWLWrCqt2VBrQGRFRZP3z88P4cn/Ptz78ph9fMRLDC9MMq9eX9Ib8CDBDGi3R82OfGtQGgH7f/S6SBg7s0blaQIOq2eFrcrW9tufRJ9F62Lg714mIjFZe78JjBu3nBQDF2Q78cMYIw+rFM1VKwx69zYsvvtj2/KGHHoLSxR7BJSUlbaHn0KFD+Pzzz3v0e3q93rbnXS2L09Exfr8fMo7/f6irC37gS05ODvtcm80GAGhoaDjjvZycHABAba0Be0L3YebUdGTNuaXH5ycVFSC5MBtCBj9MqTVlaP3830a1R0QUEVrZbsDbalg9ZcAYCIvNsHrxjBmyY8yPxmOGjG//ddVo9Mvq2Y2RigJkpdvhVU/9HXzgta043uDq4iwiotjaV9GM3xh4DXJUvzTceTmvQfbl/AgwQxot0fNjnxvUViwWDP3ZfeGfl5IBnxvwNTS2e111u7H9vx+AetpfciKieOFXNdz/yhY0OT2wmY35lv/IdeORZDUZUqsv2rhxI44dO9blI94FAoF2d+RNnjy523MuvPDCtudr167t0e9rMp36e3fyrstw9OScaMnKygIAbNq0Kexzt2zZAgDIzs4+472TSx51dAcrhSd1yiWwDx0V1jnCYkHa6BGw2M78u+fZthbe/QbOgCQiMpDmdkIqCpCSCRjw81Ok5UJk9f6tayIp0TMk82NkMEPGN4fNjMe+c3bY5/XLccBut8Dpab+yT5PLj5+9vBl+1ZglfYmIjOT1q/jFm19DWBQk2/XvemtSBJ6cNwkWU58bwjJMoudHgBkyEhI9P/aZPbVPlzZhAvJnz0bVv0OYIWMyw5zXH83bd3d6SMvefSh96g8Y/cv/z8AuiYj0++Py3dh0IHj3VbPTC0eSGSaTCb4efgi+YUoxzhly5g+t3krVpCH72Zxeo7CwMOL71UTakSNH0Np6auZWuGHlyJGerXBy+u/j8Xi6Pd7tdrc9P3knYbw699xzsXz5cqxYsQKbN28OKaQDwLZt27B8+XIIIdqW+TndyfA+dOhQQ/vti4QQyLnhdpQ9/QCgdr90uH3gINiSFEiPs9NjWj76F8y5/WBK7zvfV4ko/smAD1rD8eBgdkomYE8GnPWAt4ezAxUTlIHj4/rCjtGYIc/E/BgZzJDx75JxBfj25P5Ysbms22PtVhOGFqWhtKLz/Lj1cAP+37t7cO/sMUa2SUSk21P/3oXd5c1QTAo0RSItxQq32w+/2rNMdPv0YRhXnGlwl/GL+bFjzJDGS/T82CcHtQFg4F0/QP3nn8NfX9/pMUnDRsB1vK7LAe2Tyv+1BFnnTUb+Fd8ysk0ioh776OsK/PWT/e1ec7kDgAhgYH4qKpu6/4F8uvx0O+6ZNdLIFuOeZlCg1Ayo0Zlnnnmm22N+9rOfGfp71nfxszMUpy9R88ILL3S718ydd96JtLS0doHS5er+wvrpgTI9Pb0HnUbPggULsHz5cqiqiquuugpvv/02zj///C7P2bJlC6655hoEAgEIITB//vx277/66qvYunUrhBC49NJLI9l+n2HN74fMb12Dhvfe7PQYYUtC+sRJ0KoOQXq7/rcvfR4433sF6df/GMLUZ2M5EcURKTWo9WWAPO0GSLMVyMgHPK1Ac23790Kg9B8NYe1+yb7eJN4zJPNj5xIpPwLMkIni4esnYM2uKjS7/Z0eM2loNupafV0OaJ/04if7cd6wHEwdnWdkm0REPfbvzWVYsvHUrF8hBAIAzHYzcm0WHK8P7+bIwXkpuPvK0QZ3Gd/iPT8CzJBdSaQMmej5sc9ePTOnpmLwT/4LpY8+csZ7ppQUpJ1bgop/vw/NE/qy4rt++QRSx4yGozix734hosR3tLYVD7y6peM3JXCk0okhBalo8Pjh8qoh1fzFteOQYrcY2CUZ4b77ut9Sw+hAGQicmqVaVFSEn/70p2GdP3z48LbnTzzxRLd3TV5//fVIS0tDYWFh22vHjx/v9vcpLy9ve15QUBBWj9E2d+5czJo1CytXrkR1dTWmTp2KWbNm4eqrr8a4ceOQkZEBTdPQ0NCAnTt3YsWKFXj33XehqsF/v5dccgluuOEGAME/m9tvvx0ffvghAMBsNuM//uM/Yva19TYZ02ejZcs6+KvP/DvoGDsRthQL1KqDIdcLVB1F67p3kTJ1jpFtEhH1iNZYBfg7+AwsBJCUAljtgKsZaG0MrWBKFkROsaE9kn7Mj51LpPwIMEMmitx0O+6fOw4P/WPrGe9lpVhx2VlFeHfr8bCWFb//H1vw9s8uRn5G37ppiIjiz77KZvx66Y4O3xOKggZfACMGpONYVQvcvtCuQT5xy0TYufVh3GGG7FwiZchEz499dlAbALIvuQSZJSVoWL++7bWsiy+Bz+lF+RvLwq6ntrZi+88exLmvvAjFajWyVSKikHl8Kv7rb1/C6e56edyDlU5kpVhxVnEGth1t7PLYb08swtRRfe8u8Egs/dMbZGaeWv5JSml4YO3M2LFj254fPny42+NPD6ojRoyIREuGWrJkCWbOnIk1a9ZAVVWsWLECK1as6PR4KYN/r0pKSvD222+3vb5582a8//77bcu8Pvjgg+1CPOkjzBbk3PgfqHj2V22vmdKzkHnJt+Av3QS1OvzleT1bV8PSbyhsQ8Z2fzARUYRorY2QrsauDzKZg0uSJ6UBDce73o5BKDANnNCnlh0/iRnyTMyPkcMMmRhuKBmEpRuO4sv9dW2vXTOlGC0+Fe9s6n5p8m9qaPXhZ69swUs/LIGZ+80SUYy0ePy495Wt8Pg7vylHCIGyRg9yshzItJnx9ZGGTo8FgHnThuDcYTlGtxr3mB87xgwZGYmcH/t06hFCYPA9P4WSlARbYSEG3n0P6jfvRPUHn/S4pnPnbuz73f8zsEsiovA88dZ27C7veimVk+pbfNhUWoPLx+Yjw9HxLOysFCt+fhX364pXUspuH0YrLi6G2Ry8L66iogJlZd1fhHE6nfB6z5z5dfjw4W77HzRoUNvvm5GRAQDYs2cPnM6ul+b74osv2p53tNdLvLHb7fjkk0/wxz/+EZmZmd3+uaSlpeGJJ57A6tWrkZaW1lantLQUAJCWloann34ajzxy5qo0pE/S0FFILbkMEAJpF34L2ZdMh+/rzyA9PdxvFkDLR/+E6uz6wz0RUaRIvwdaU2VoBwsBmM1A/mAgLbfTw5SiERD2ZIM6JCMxP3Yu0fIjwAyZKBRF4PGbJ8JiVjAkPwWPf3civjraiNW7qnpcc9OBOjz3QamBXRIRhU5KiceWbMeR2tbuDwZQ1+rDoUYXrp5SjNSkjudaFmUm4d6reQ0yXjFDdi7RMmQi58c+PagNAPaCAoz+n6eQe9W12PvE7+A6fFR3zWOv/AvVH60yoDsiovC8teEo3ljf9TIq36RJ4N+byjAsNxkzxp25PMoDc8YiI7lvrj6hSg2qZsAjzL0n453D4cDkyZPbfv3qq692e878+fORlJSE/v37429/+1uPf++rrroKQHD5oQ8++KDLY999992255dffnmPf89oMplM+MlPfoLy8nIsW7YMP/jBDzBjxgyMHz8eI0aMwPnnn4/bbrsNL7/8Mo4fP44HHnigLdyfdOWVV2LdunWorq7GvffeG6OvpPfLmn0zCu74GcyaE56v1+quJz0uON97BVINbTk2IiKjSE2FWlcOhHsRSlMBRxpEv1HBfbdP50iHyB9sXJMJhhnyTMyPkcUMmRiGFabhbz++ADdcOBi/eXsHysPcY7Yjz39YinV7awzojogoPK+uO4IPtod4U+QJqgZ8uKsKF40rwKUdXIP89Xcn9tmtD5kfO8YMGTmJmh/79PLjJ6VNmICDz/0Vms9nWM1dv3gcqaNHIqlfkWE1iYi6sre8CY+9sa3H53++pwb9shz47ytH4pW1R1Dd7MGlY/LxrfHxvQ9IJGkGLf2j9bKlfwDg1ltvxYYNGwAAv/3tb3HLLbegX79+HR67bt06LFu2DFJKHD9+HOedd16Pf9/vfOc7eOWVVwAE98KZM2cOLJYzP/C8+eab2L59OwBg3Lhx7QJwPNq+fTtMJhPGjAnekWy323HVVVe1BehwjB492uj2qAOmpGSYU5LhqtR/Q+RJgYrDcH3xHpIv/LZhNYmIuiKlhNZQAag9/SwsIVUfMGAMRGM1ZMNxAOLEsuN99x56ZsiOMT8ajxky8Zw7LAfPvl+KgEH/vqUM7q/91s8uRm6a3ZCaRETd2XakAb9fsbvH56/eU4NBOQ48cN14LHx/L+pbfLh2SjGmjsk3sMvEwvzYOWZIYyV6fuy7nzJPIxQFY598DNZc4/Zq8Dc1Y9P3foCA221YTSKizjjdfvzkb1/C28UeNqEor3fhmaW7cMsFA3FzyUA8dM3YPrkPInVvwYIFGDp0KACgrq4OM2bMwO7dZ36g2bRpE2644Ya2JYiuv/56jBs3rse/75VXXomSkhIAwNatW3HrrbfC4/G0O2bNmjW4/fbb23796KOP9vj3i5Zf/epXGD9+PMaNG4elS5fGuh0KkXXACCSdN8PQmp6v18C7a72hNYmIOiNbGyA9XS+lFxJ3M2RqFpTBk6AMGA3hSOv+HOpzmB+NxwyZeMwmBc/Mn4z0Trb/6olapxd3vrgB/gBX/CGiyKtv8eK+V7fqvjnncK0LC1cdwL3XjMW8aUPw4HXjDeqQehtmSGMlen7kTO0TrNlZGP/0r7H5th8Bmr5BISklJExoOXAEO+57BGf9v/+BUHj/ABFFhpQSD722NeQ9bLrjVzX8z9s78M+fTu3zd3qrBt0laUSNeJOUlIQ33ngDF198MZxOJ/bs2YMJEybgyiuvxKRJk+D1erF161a8//77bWFy0KBBeO6553T9vkIILFy4EBdccAFaWlrw2muvYe3atbj++uuRmZmJTZs2YcWKFVBPLOF8yy234LrrrtP99Ubahg0bIKXE7t27kZNj3E12FHmO8y6Hv/wgAuUHdNdS7HbYi/pBO7IdWr9hUNI736uWiEgv6XVBa+r5Xq5n8Lkg7QpMeX132fGTmCE7xvxoPGbIxFSYmYQnb56IH/11oyH10tPtKHN68dS7e/DQ7DG8MZ2IIkbVJB781zZUNXm6PzgEHr+K3yzbhSX3TO2zWx+exPzYOWZIYyV6fuSg9mkyz52MIT/8Dxz8y//1uIaUEsKahEBjMwCgYvn7sPcrxKgHfmpUm0RE7Tz46lZ8sK3C0Jrzpw3B2YOyDK2ZiAIaDFkWLtC7trNpM3HiRKxbtw433ngjdu/ejUAggGXLlmHZsmVnHFtSUoLXX3/dkLA0fvx4vPvuu7jhhhtQVVWFY8eO4Q9/+MMZx82bN0/X3jnRVFtb2/Y83pcpovaEoiB15i1ofPV3kJ6e31xkSkuHPScHgARUP7wbV8B20XVQklKNa5aI6ARNDUCrLze2qGKCkt53t605HTNk55gfjcUMmbguHVeABZcMwaJPD/a8iADycpLh8gcvpr+ztRz9MpPw/alDDOqSiKi9B9/YhvX7ars/MAx3XjYMQ/P5uZf5sWvMkMZJ9PzI6cPfMPiu25A55ZwenSsloCSlwH9iQPukQwsX4egrrxvRHhFROys2l+HNdYdhNRv37fysQZm47+qxhtWj3m3cuHHYvn07Xn31VVx//fUYOHAgkpKSYLPZUFxcjOuuuw5LlizB2rVr0b9/f8N+36lTp2LPnj14/PHHcc455yAjIwMWiwVFRUW47rrr8P777+Pvf/97h3vdxKMRI0a0PT927FgMO6GeMKWkI/Xy7/b4fGtRf9hzsgGc9gHW2wrfxuWQfq/+BomITiOlhN/nh2o3dolwJbMIwpwYP3cptpgfjcMMmdh++u0xmFCc0aNzzWYFRfkpbQPaJz33yX68t93Ym96JiABg+dfH8fmRejjsxs2TPH9YNu6aPtywetS7MUMaI9Hzo5An5+NTG29NLTZcdwt8dfUhn2NKTYXq8Z8xoN1GUTD5xT8h77JpBnVJRH3d+r01uO0vn8N/4ha85CQzvAF939Izkq14+75LUJiZZESLCamsrAwDBgwAAFz+1DtIysrTXdNdX40P7r8aQDAsGBmsqHdYsmQJbrzxRgDAVVddhbfeegsmkynGXVG4Wj9fDvfmVWGdkzR8DBS186XblJz+sJ53FYTCvw9EpF9wQNsH7eSWWwEvTC01EFpAV12RmgNTWt/eMoEZkmKBGTLxldW1Yu4zq+H0hP59ODfDDsVqQquv4z20LSaBP8+bjMlcfY2IDPL5gVo8/M4OaDKYJ+FV0eT06aqZl2bHv35yIbJSbAZ1mXiYHykWEj0/cqZ2B2y5ORj71K+AEPegcQwdCn9Ta+cD2gCgafjqP3+Opu27DOqSiPqy3WWN+OHC9W0D2gDQ6g7ArABJ1p79EBICeHr+5D49oE0UK9dddx3eeOMNZGVlYfny5Zg0aRKeffZZbN68GfX19acGHyiuOc6fBXPhoJCOFVY7ksdN7HJAGwC02jL4v/4UvA+ViPSSUsLv97f/mWK2QU0rhLQ6elxX2JKhpCbeXmxEvQEzZOLrn52MJ26eGPLxEwZnIWASnQ5oA4BflbjvX1/hUE2LES0SUR+383gTHlu+CydXxhZCQNjNyM6yw9bDlSPNisDTt0zs0wPaRLGS6PmRe2p3IrtkCgbf+X0cWtjFOviKgqwLSlD14WoghP+jVZf7/2/vvsPkqK60gb+3qjqnyUmTlDOSEEJI5GCSAWNyNF6b4GVt47zez16vbRa8Dnhtk2yMARPMgjEYbDBgsAkCJBBIoJw1QTOaPNPTuavqfn+0NEia1F3dGk14f88zj3q6q24VaDR9+p57z8H7n/sSlj3zCFyVFTm8WyKaSPZ0RPD5u99GaICV3LG4AV03UV7oQXNXNKNxbz5rJk6cnf2KwPHEkBJGDvrZGExG0TDOPfdcAMCUKVPQ0dGB9evX45ZbbsloDCEEdD27nXaUHaGq8J19Dbof/zlkLDLocWpxBVxlZZDh7rTGNRo3Q7j9sM1YkqM7JaKJSNd1mMYASRBFheEphqIFoUS6MhtU1VJlx9NcED5RMIakkcIYcnz4xFHluObEyXj0zV2DHqMpAqctrMDbOzvSGrM3puMrf/gAv/v8UhQxaUREFtV1hPHtZ9YhPkCjZkNV4MlzIC8p0dIz9GLtQ3313FlYWJOfq9scFxg/0kgZ6/Ejk9pDmHzzDehavQbd76/p95q9uAiBBQvQ9OzfMhoz3taO1f/ybzjuqd/DFshtDzMiGv+6QnH8y10r0DpEsKgbEg2tISyaWoh19d1pjXv8rGLcfNbMHN3l+GGYOQooczAGjW8vvvhiX0Jg/5/cmTs2qb58eM+4Ar1/HXhhpHPuEqgylnZCez9967sQbh+0ylk5uEsimmj0ZBLGUJMOQsB0BiBVB9RwG2AOvgPwQGr+JAiV0wqHYgxJI4Ux5PjxzQvm4INdndjY2NPvtYp8FxbPLMY/N7dmNGZTdwxf+8Ma/Oazx8Bl5+9qIspMeyiObz39EYJDtEcwhUDCBsyvzkt7DvIT88tw9fG1ubnJcYTxI42UsR4/MqIZgqJpmPfT/8aqi69Gsqu77/mCZUsB1ZZxQnu/0Lad+OALX8OS398LxT42mscT0ZEXTei48d53sLMlvRJia3Z04KS5pXh/VyfiycGrSZTlOfGzaxdDVbjDhuhIqa6u5i63ccQxZS6Si05GbM3rfc8JuxOe4z4BuXcroCctjZv88J8QTi/UIvbEIqL0Gbqe9ip6aXNC91dAC7cDyaGr/iiBUgiH9bLlRJQ9xpDjh11T8fPPLMbFd7yBcPzj39mnzSuD4lAzTmjvt6k5iO/8aR1+evlCfuYnorSF4jr+/emPsDcYH/ZYKQTqI3GcOr8Mb25sgW4MnhyrLnLj+xfP53sX0RE01uNHJrWH4SwtwdwffR9rv/AVCFVF7Q2fRdvrK9G1uv/u7Ux0vvMe1n37+zjqjv8e0z9ARDQydMPELb97F2t2dWZ03hsbWnDy3FI0dEZR3x7u97qmCPziX5Ygn+XIBmTmaJWkyVWSNIzdu3cf6VugHPMsPxd60y7oLfXQSirhXnQ8jO3vAzKL3kTSRGL13+A4/iIovsLc3SwRjVuGYSCZzHAhjaJC95ZASwSB8MDlyIXLB+FhycjBMIakkcIYcnypKfbi1ssX4GsPvw+bquCLZ8/EmzvbsXlHd1bjvrm1DXe8uBnfPGcW5yCJaFgJ3cR3n12P7W395xEHI4TAmr1BnLGoAmu2dQxYjtxpU/Dza46G18lNfgNh/EgjZazHj0xqp6HoxOMx7etfhrOsDFt/dhfCO3fnZNymp/8K56RyzPz6F3MyHhGNT1JKfO//1uIf6/ZaOv/1DS1YOr0IU0u9+OeGloNe+9aFc7GwtiAXt0lERAcQqgbf2dcgtu5t2AqLYGx7LzcD6wkkVv0V9uMvhuLy5mZMIhqXTNNEMpGwdrIQ0B0BaDYn0NNy8IIczQ4lr5yJESKiw+CcRZOwqy2E6eV+3PnqNjRn2Kd2MH98rwHlASeuPX5yTsYjovHJlBK3/20T1jR0Wzp/ZV0XlkwrQG9PHCu3dxz02ncunIfpZWzHSkTZUY70DYwVtZ+7Fi1//2fOEtpAKlG14+7fYev/3puzMYlo/PnV85vw5Fu7sxpj1bZ2NLSF8G9nzewrOXbOogpce9KUHNzh+LW/n00uvoho4lEDhXAdtQzGzuwq/PQjDZg73oPULSariGjcM00Tifjw5SKHoysOoKAK0PZV9RECasEkCEXNeuzxjDEkEWXj5jNn4m/r9+Ysob3f42v24Ll1zTkdk4jGDykl7n5tO/65tS2rcd6r74bq1vD5U6Zi/xrIi5ZU4YLFbKM1FMaPROlhUjsDc2/9DnyzZ+ZkLCklFIcTMmlg28/vxc7f/D4n4xLR+PLIaztw5wubczLW5j1BPP3ObvzP1Ytw3PQi3HrFQu6wGYaUEtLMwZdkQEmHXyyW20kvyg3FXwTb/FNyNp5wOKGV10DAhLnrA0g9+6QVEY0vWe3QHoAuBZA/CcIVgJJXBmFz5mzs8YoxJI0ljCFHp+99ai6qC905G6+sxAPVruK37+zGS5tahj+BiCacx96tx1Mf7MnJWBuae7G6uQe3X7EQy6YX4dsXzMnJuOMZ40caS45k/Mjy4xnQvB4c8+CdeOfT1yLWbD0AlFJC8/mQ7Onte27Tf98BaRiYevPncnGrRDQO/PGt3fjR0+tyOmZDRwS/+usm/O0/z4Cmcl0T0WiUSCSwZcsW9PT0IJlM9vtAIqVMJSySSUQiEXR0dOD999/Hs88+i5YWTlCNRlr1HMhIEPr297MaR9id0MonQ2Dfz0Q8DHPXB1Bqj4awOXJwp0Q01hmmic5QDF6bQC6XLuqGCVugFIrKHdpEoxVjyPElz23HL686Gp/73Sp0RZJZjVVV7sOBI9z15k4YUuLcOWXZ3SQRjRsvb27B46sbcjpmXWcEz3zUhPs+t4SbaohGqbEYPzKpnSFnWSmOefBurLz0s9B7QxmfL6WEo6QEsb2t/V7b/KNfwEzqmH7Ljbm4VSIawx59fQe+/8SHAACXXUU0YeRkXIdNwY+uOZoJ7TSZpoSZg7I9uRiDxr9IJIJvf/vb+P3vf49QKPMYg0Y3beZSyEgQRtM2S+cLhwe2ipqD+9oCQDySSmxPXsTdk0QTnG6YaOmNQjckDBMIONScJbYVVYWiMH5MF2NIGkmMIcevygI3fn7lInzh96sR183hTxjAtKoAQgOce++KXTBMifPnlWd7m0Q0xr20uQV/Xr8Xk4o8aOmKojucm4o/LpuKb545kwntNDF+pJE0luNHfiq1wDdrOhbdeweEltmaACklPJNrB0xo77f1Z3dh68/vYZkIognst3/f2pfQBoBowoDfZct6XEUAv/iXY3HMtKKsxyKi3Lvkkktw9913o7e3N1V2KsMvJhtGNyEEbAtOh1JQkfm5bj9sFbX9E9r7JVKJbZlg+VCiiUo3TLQEUwltAIgbQFfMQC4+VSqKApvNxglJolGKMeT4Nq8yD/998VGWFinNn1IwYEJ7v/ve3o0/f9Rk/eaIaEyTUuLZ9c348/q9AABVVVBW6EZpIPvF0poicOsFczGj1Jf1WESUe2M5fmTkalHRCcdh3o++l/bxUkoEjpqH0I7dwx677X9/ja0/u5uJbaIJRkqJX/x1I378zPp+rwWjSRT7swsqv3/5QnxiYebJlAnNwpv6QF/g73MaxgsvvIAXX3yx7/u8vDwcd9xxmDdvHgBA0zScfPLJWLJkCWpraw86126347777kN9ff1I3jJZIFQV9mPOgfDmp3+Ovwi2smpADlOxIxGFuet9yEQ0y7skorEmaZjYG4xCP2RXRtIEOqPZJbaFELDZ7UxoZ4oxJI0QxpATwymzSvDVs2ZmdM5xs0vQFh2+bPnvVtbh6Q9z00OXiMYOKSWe+rAJL24+ePOdIgQKAk7UFnuyGv/bZ8/CktqCrMaYcBg/0ggZ6/Ejk9pZqLz0U5j25ZuGP1BVUXTicnSv7Z+oGsz2X92HLf/zSya2iSYIKSX+5+n1uOuFzYMe0xaMoarIDStzil88ZxauOmlKFnc4MUkTkKbMwdeR/i+h0e6JJ57oe/zlL38ZLS0tePvtt/Hcc88BAAzDwH333YdVq1Zh586d2LlzJy688EIAQDKZxAcffIDycpYOHAuE3Qn7secBDtewxypFlbAVlwOmnt7gydi+HdtMbBNNFAndwN6eKIxBygzqEmi3mtgWAnaHgwltCxhD0khhDDlxXHlcDa5YWj3scXZVwekLy7G7O/148MFV9XhyTWM2t0dEY4gpJf7wQSP+sb19wNeFEHC5bJhbGbA0/s0nT8UnZpdmc4sTEuNHGiljPX5kUjtL0776r5h00fmDvq543Cg963S0vf52xmPvuOcBbPrvO5jYJhrnTFPiv/5vLX736vB9VhvaI5hR7octg57Yly6vwS3nzc7mFonoMFu5ciUAoKamBj//+c9hs6VaDtTW1qKqqgoA8Pe//73v+NraWjz99NO49NJLIaXEfffdh48++mjkb5wsUdx+OJacB6iDt7JRK6ZDC+QDxvA7bA6SjKV2bMcjWd4lEY12cd1ASzAKc5jPi6YE2iIGZIbFa+3coU006jGGnFi+cuZMnDKrZNDXAy4bzl48CRtaMu+N+ch7DXj8/YZsbo+IxgDDlPj9e/VYsatzyOOEEJCqgqVTC6FkEA5etrgSlx9TleVdEtHhNNbjRya1sySEwLz/+S8ULj+232uOshKUn3c2mv/ykuXxd933MDb+4CdMbBONU7ph4lsPv48/vLkr7XO2NAUxrzoAr3PwZMh+p84rw61XLuKEpEWmKXP2RTSUtrY2CCFwzjnn9OtLs2jRIgDAO++80++8e++9Fw6HA1JKPPDAAyNyr5QbSl4J7EefCQyQZNKmLITqdmWe0N4vGU/t2GZim2jciiX3J7TTO14CaIvoSLfkj91uZ5/dLDCGpJHCGHJiURWBWy+aj3mT+u+enJTvwtmLJ+Hdhm7L4//h/UY8urqec5BE41TSMHH/yjq8W9+d9jm9uolTZ5fCqQ0fF54+qwT/evLULO5wYmP8SCNlrMeP/JSaA4rdhkX33gHvjI9/aftmz0TZJ89Cwx/+lPX4u3/3GNb/x60wjWF6KRLRmJLQTXzlgffw53cz70GxZlcXFk0uQElg8D7bCycX4FfXHwstg13dRHRkhEKp3RT7V0QeaM6cOZBSDrgKsqCgAOeeey6klFi1atVhv0/KLbV0MmzzTjzgGQHb3OOhKBLQE9kNrsdh7nofZizznTpENLpFEzpag9GM2+VJAK0RHRgmWW2z26GoqvUbJKIRwxhy4nHaVNxx5UJMyv+4lc28SX6cvqACr+/oyHr8Jz7Yg4ffrYdpsn4t0XiSMEz8+u3dWNvUk/G5zeEEzj6qHP4hNtcsrs7Dt8+aBYWbaohGvbEePzLTkSO2gB/HPHg3HCXFKDppOYpPOwm77ns4Z+M3/vFZrLnpqzBisZyNSURHTixh4ObfvIMX1+yxPMabm1px9JQCTCn19nttcokX9/3rMrjsw+/mpsFJub+nTZZfXCRJwwgEUrstBpo8mjZtGgBg27ZtA+6amDVrFgBgx44dh/EO6XDRaudDm7IQUDXYj/4ERCIE6PGcjC2FAqO7FWaC8SPReBFJ6GjtjVnrkY1UTNIWTkIoAyetNZsNKhPaWWMMSSOFMeTEVOBx4JdXH42Ay4ZTZhVj2ZxSvLylNSdjCwBbOsL484a9MLjbj2hciCUN3L1iJza29FoeY2tHBOcvmoQyf//NNdOKvbj1gnmwp7GbmwbH+JFGyliPH/mbJodck8px3FMPoeD447D9V/flbFzFaQcMHa2vvI5VV1yPeGt7zsYmopHX2hPFNb94E69taMl6rBfXNGHx1EIsmlzQ91yx34EHv3Q8CryOrMef6KSUOfsiGkpZWRkAoK6urt9rU6emKsHE43Fs37693+sOR+rfejAYPIx3SIeTNns57MsuAnpbgWSOEtqKBhkoB4SA0dUMM2p9AoOIRof2UBxtvdkvUjEl0BpOQqgHL37UNA2axgWRucAYkkYKY8iJq6bQgwevX4oFUwrxl/V7czbujFIvPA4Nm1pDeHxtI6JJVo0kGsu6Ign87xs7sLUtnPVYa5qCuODoSZhW/PHmmjK/Ez+5aD48DsaQ2WL8SCNlrMePTGrnmLu6EoVLF0ML+HIynupyAMmP+yn2rF2Htz99DYKbtuZkfCIaWfVtYXz2zrewsbE7Z2P+8e06LJpcgNPnl8Hr1PDAF49HZaEnZ+MT0eG3bNkySCnx/PPPI5E4uOz09OnT+x6//fbb/c7dujUVEzARMXYJIaAECiHc/pyMJ4UCWVB5UO9cI9gOo7eTH3CJxiApJeq6ItjdGcnZmKaUaAsnoOx771BVFSrfR4jGHMaQE1tVgRsLJgXS6nWbjppCN/IPWBxf1xXFQ+/VoyOSZVscIjoiuqNJ/H1bG7qjyeEPTtOKXZ24YFEFFlfnIeCy4WcXH4VCbqohGlPGevzIpPZhkLdwHo57/LewBbKbmFRcDsDsvyIytqcZKy+5Dq2vvp7V+EQ0st7Z0oZLf/YadrSEoJsyp6sYH/jHdsyvyceT3zgFsyvzcjbuRGeaMmdfREM577zzAADNzc247LLL0N7+cVWWiooKlJeXAwDuvPNOJA9Y7LZjxw786U9/ghACNTU1I3vTlFNCKBCVcyECZVmNIwHIgipA9A/zzUgPjJ5WSMkeiURjhWFKbGoNob4riqhuoiOSu0lJw5RoCyWg2WzQbDYI9kDMGcaQNFIYQ9L8igC+f85suGzZTfGWB5yoyHP1e74zmsRD79XndGEVER1+Dd1RvLC5BVHdxIwS75D9sDP14pY2nLugAndevhBVBe6cjTvRMX6kkTLW40cmtQ+TwPw5OO7J38GWn2fpfMXlgOawQ+oDl/kxwhG8f/0t2HX/w9xxQzTKSSnxyOs78Pl73kb3volIIQSiSQN5HntOruF2qFg8tRAzKnKzy49SpClz9kU0lAsuuABz5swBAPzlL39BTU0NfvrTn/a9fuWVV0JKiTVr1mD58uW466678P3vfx/Lly9HPJ4qV3366acfkXun3EkltudA5JVbH6SgChikVy4AyHgEemczpKFbvwYRjYhY0sCHTT3oCH+8ej6cNNEdy92/X7umQlVVJrRzjDEkjRTGkAQAc8v9+ME5c+CyDR4DDqXAY8PUEi8G+40T0008vrYRa/Z0W75HIhoZUkqsaw7iHzvakdwXR2iqgmk5TGy7bCqmFnpQwyqROcX4kUbKWI8fmdQ+jPxzZuK4J+6HvTA/o/MUhwPO4kLovaGhD5QSm//7Dmz4f7fCTOZuxT4R5U5CN/Gfj6/Ffz+1DsYhQYUQAsFoEkW+7Mr0+Fw2PPTFE7BsZklW4xDRkfXUU08hPz8fUkrEYjF0d3f3vfbv//7vKCgoAAB88MEHuOWWW3Drrbeira0NAOByufCVr3zlCNw15ZoQAmLSbIj8iozPlXmTIFXb8AfqCeidTZA56t9NRLnXE01izZ4ehBP9FzkH4wZCAzyfKY9DQ5HXwYQ20RjHGJIAYHaZD7d+cjY89swS2z6HhoVV+dCHSYKYEnhhcyte2dYGk5triEYl3TTxxq5OfNDU0+81u6pganH2iW2vQ8PXTp6KyUxoE41pYzl+ZFL7MPPPnoHjnnwAjuLCtI5X7Hb4Z09DbE9z2tdoePxPWH3dzUh093/DIqIjpz0Yw3V3rsAf36kb9BghBHqiSZQEnJauke+x45FbTsDRU9P7HUMZytUKSa6SpDTMmjULH330Ea699lo4nU5MmTKl77Xi4mI8++yzKC4uhpSy7wsAnE4nHn300YOOp7FNCAFRMQsif1La58hAGaQtg0VSpgG9sxlmLGzhDonocGoOxrCuOThkgqEzqiOuW28l4HPYUOhhQvuwYQxJI4gxJO03s8SHWz85B15Heoltt03FSTOKEEmmv1BqVX0X/vhRU1bvQUSUe+GEjr9tacXursFbBTg0BdOKPfBZbIcYcKYS2pUDtCqgHGD8SCNoLMePQrJ29YgIbd+FlZdfj3hr26DHKA47ik9ejjaLvbLdk6txzO/uhGdKrcW7JKJc2dDQjX/77So0d0XTOt7r1GBXFbQFY2lfo9jvwO+/fCJLjudYY2MjqqqqAAALv/YY7IHirMdM9LRh7c+vBgA0NDSgsrIy6zFpfItGo0gkEggEAgc939nZifvvvx8rV65EPB7HggULcOONN6K2tvbI3CgdVlJKyOatkJ2NQx/nL4F0+gCLYb3izYfiDjC5RXSEmVJiZ0cYzcH0qyhUBRzI9F+u32lDntvOf/M5xhiSRgPGkAQAO9rD+M/nN6I3Pni7Cqem4PyjytHQk/4cxIFKvHZcdtQkBFxpVAkiosOqNRTHP3e0I5bmYhPTNLGhuXfAikCDKXTbcctJU1Dsza7aJB2M8SONBmMtfsxNIwUalnfaZCx76gGsvOzziO1t7fe6Yreh6vIL0fDYHy1fI7KrHu98+losvOvHKDpxeTa3S0RZeOH9RvzHY2sQy2C1cyimo7rQDVM60NE7/ERmRYELD3/5RNSWeLO5VRqGKWVOSquxPBtlyuVyweXqv/q5oKAA3/rWt47AHdGRIIQAymcAQkB2NAx4jPQVQbryANN6j10z1AWpJ6H4CqEoLOREdCQkDRObWnrRk2G/7IaeOCbnu2CY6U1iBlx2BFw2JrQPM8aQdKQwhiQAmFrkwW3nzcF3n9+I4ADvKw5NwRXHVGFz2zBtD4fQGkrgwffqcclR5ajMc2dzu0SUhW3tIays78poc66iKDi6Kg+r67sQTQ4fQ5Z4HbjlpCkocNuzuFMaDuNHOlLGWvzIWasR5Jlcg+P++CCcFWUHPS9sGqZ+6Xo0PP6nrK+R7Ali7b99HTt//TtII/s+a0SUPtOU+N+/bsRXH1qdUUJ7v/qOCKaX+5HnHnqlc02xB49/9WQmtEeAlLkp/cOiKERklRAComw6RGF1v9ektxDSW5xVQns/XdcRi8VgppkYI6LcCcd1rNnTk3FCe7+67ijs2vAf7fPddu7QHiGMIYnoSJtc6MHt581F3iE7qe2qguuX12aV0N4vqhv4qLkX9V0R/r4iGmGmlHi3oQtv12WW0N4vaUqcOLUQjmFiyAq/E18/ZSoT2iOA8SNRerhTe4R5aquw7I8PYOXl1yPa2AShaZj93W9g+//eDeRgElFzOyCTCez45T3oXPku5v3PD+EsK83BnRPRUFp7YvjKg+/h/R0dWY3z3o4OXLS0Ci98sAfhASY2p5X78PCXT0BJgP1riMaz7u5u1NfXo7e3F0YGi9ROOumkw3hXdKQIIYCyaakd2+11AADpKQDyyoH44D3T0iWFCt0ZACAQicXhsNugqSoTX0QjYGtbCG2heFat70wJ1HfHUJvvGnRhZYHHAZ+TJWKJxjvGkHSgmgI3bj9vDr7z143oiiZhVwW+dPIUrGrozsn4Uws9sGsKtraH0RFJYm6pL61FVkSUnWhCx2u7OtAaSmQ1TjBu4NzZJfjrxhYkjf7BaHW+C186YQq8FntwE9HYMNbiR/5GOgLc1ZU47o8P4N2rb8LUmz+HHXf9Fnpv9iskhaYC8uMfuq5Vq7Hywisx59bvouQTp2U9PhENbOW2dnznibVoTbN/9nCeXtWAL549E/f9fSuiB/S3mVMVwENfOgEF7F8zYvavcszFOETpeOyxx3D77bdj8+bNGZ8rhICuZ79jl0YnIQRQOjWV2I70QBTXwAz3ZD2uBJB05wMHJLDjiSQM1YTDzhLFRIdLwjCxsr4LDd1RVOdgsWLCkGjuTaDcZ++X2C70OuB1MKE9khhD0khjDEmDqcp34/bz5+IHf9uEzy6tweo93dBz8Lul0G0/aOdmRySBlfWdmFvqR6GHOzqJDpfeWBKN3VEk0uyfPZzmUAIXH1WBpz5sOuh3w9RCN/7thClw2dScXIeGx/iRRtpYjR+5fO4IcVdW4KS/P43uDz5EtGFPTsa05/cvRZzs6cGHX/4mNv7XbTAiuUm4EVFKPGngJ3/ZiBt+uwqtwTikIuBx5mat0P2vbse3L5oP275VzosmF+DRW05kQptoHPv2t7+Nz3zmM9i8eXOq7JSFLxrfhBBQSqdCTJqbk4Q2ABhOP6TS/71LNwxEYvGMVukSUXr29sbw5w3N2N4RRtwwsTcUy8m4vXEd3THjoDKSRV4nE9pE4xxjSBpOZZ4L91y2EHvDcYQS2cd2dlVgepGn3/MJQ2JNUw+2toVgMqlClFOGKdHUE0V9VxSmBCbnueHOUcJ5TzCGK4+eBGXfeuZZJV586UQmtInGs7EcP3Kn9hGk2G2Y9d1vIN7ajrZ/vpnVWN6pVYg1NQ/6+p4nn0b36g8w/2e3wzd7ZlbXIiJgc1MP/uPxtdje8nGVBSEEElLC49AQjme3UimWNPDbV7bh9qsW4bnVDbjr+uNyljCn9JkmcvJhnC1qaThvvfUWfvrTnwJI9VHyer1YunQpysrKoGn8t08HU+wOIFACo6cNqb3W1piqA4bNPejrUkpE4wnYNA12m8Zd20RZMkyJD5p6sG5v8KDnexMGvAkdXnv2v+9bQ3F4bC44bSp8ThvcORiTMscYkkYKY0hKl01VcM6sUkQTBuq6s9v0cvSkvCEj0PruKDojCcwv98PD9yGirEUSOvZ0x5AwPg4MVEVgSr4LW9rDSGYZcyRNiZZQAlcvrsJHTT34/NIa2FTuhRxpjB9ppIz1+HH03+E4Z/N5sfj+X2LzbT/H7gcetTSGb9ZUROvqhj0uvHM3Vl1+HaZ/7Uuo/syVEArfnIgyZZgSD72+E3e9vAX6AP1mhBAwBKCpYsDXM9HcFUVzdwwP/NvxTCQcIblaecbdDzScX//615BSQgiBz33uc/jlL38Jj6f/7gei/RSnB1A1GN0tgJn5jhsJAd2dn9axSV2HYZpw2m1QGD8SWdIVTeD1nR3ojCYHfL05FMf0gtx8PG8MxrC4Mo+TkUcQY0gaKYwhKRNum4orF1Xib1ta8GFTcPgTBrCg3J/WkspQwsCq+i7MKPZikt/JOQ0iC6SUaAvF0TZI72ynpmJKvgtbOyJZLHVOCcZ1zCrx4qZltfz3eoQwfqSRMtbjR37KHQWEqmL2976Jubd9F0LNrKyHu7YS8b2D79A+lEwmsfXHP8eam76MeFt7prdKNKHt6Yzgc79ZiV/8bfOQCWsTQEn+4Dvf0iEE8LXz5+Bfz5rBYJJoAnj77bchhMCcOXNw//33j6lgko4cxeaAVlABaJn1LZQADF9xRhMfpmkiEosjyZ6bRBmRUmJDSxDPbdw7aEJ7vx1dYWhKdnGfx65iYUWACW2iCYIxJGVKVQQ+OasUp08ryvjc6rxUJZB0mRLY3BrCR83Bg3aYEtHw4rqBXR3hQRPa+/kcNkzOdg4SwLFVeZhV7OUcJNEEMNbjR37SHUWqr74Ux/z+Hmh+X1rHa/l50NwOmPGh39wG0rHiHbxz4RVoey27sudEE4GUEs+ubsTF//smPtjVmdY57eEE5tWktwPuUG6HhntuWIqbzmRC+0iTZu6+iIbS3JxaoHbeeecd4TuhsUaoGrSCcghH+hMZ0lMAw+LHgHgiiVg8wdXfRGkIJXS8uLUVqxq6kU4BH1MCDcEoVIvhX6HbjgUVgYwSDnR4MIakkcIYkqwQQuC4mgJcelQFbGm+6QScGmoLrCXO2sIJrKrvQmck8/lLoolGSonOcAI72sKIJtMLBPKdGir9TkvXs6sKPjG9GLNLfJyDPMIYP9JIGevxI5Pao0zRCcdh2TOPwl1bPeRxwm5DyUlLEdk1fNnxwSQ7u/DhF7+KdV/+KpI91soOEY13XeEEvvbIB/jukx9m3Cd7a2sv5lXnZXROdZEHT379JJw2vzyj84hobPN6vQAw5lZH0ugghAI1UALFHRj2WOnwIqlktrP7UEldR1N3BOH40LtOiSayHR1h/HlDM5p74xmdF0oYiOiZtxSozndhdqkXapY7vYlobGEMSdmYUezFdYur4XcM3f7Cpggsrc5HXLeeKYnrJra29aI1GIXJxZFEA0oaJuq7ImgOxjKqqiWEQInHjkK3LaPrBZwaPjm7FOUWE+JENDaN9fiRSe1RyDu1FsueeQQFS48Z9Jjaz16J1pdfzfpazgIfut97F6uvuBJ7//o8pMmlPET7/f7Nnbjo52/glfV7LY4g0B03UFWY3mrmZTOK8cdvnIzp5X6L16Nck1LCNLP/4o5GGs7cuXMBAJs2bTrCd0JjlRACqq8Aqn+IUpKaHbojvYpAQ4npElHdRHMwhuaeKHSWkyTq0xVJ4G9bWvD6rg4k0tmePYD6nhg89vR2WysCmF3iRU2+m7trRhHGkDRSGENStkp9DvzLkmpUDJHUOmN6MXpi2bWgEQAm+RwwTBNtwSiiCZ2/44j2kVKiOxLHjrYwQvHMFzcCgCIEJue54U6zYk9lwIlzZ5UOu6iFRg7jRxopYz1+ZFJ7lLLn52HJI79G5WUX9nut5rNXYe/zf8v6GjavCzKZKv2jd3dj222346Mv3Izw9u1Zj000ljV0RvDVxz/AL1/eivYMd9ccqjUYw6zqPHicQweJ1548BfffvAx5nux2z1FuSVPm7ItoKJdddhmklPjzn/+M9vb2I307NIYpLh/U/DJAHBLmKypMb1HWO2NMKdF7QBm8cEJHXWcYXRGWJKeJzTAl3t7ViV+9uRMN3dGsx1vf2os819C7bRyaggUVARR5HVlfj3KLMSSNFMaQlAteh4Zrjq7E7BJvv9dOnlKIngyr1g2k1GODtq+aiLkvgdcZjnFxJE14pmkimUhAT+owcvB56qhSH9RhFjrOL/PjtKlFsKtMDY0mjB9ppIz1+JG/uUYxxW7DvB9/HzP/39eAfW9GJWedhtieBiQ7u7IbXADaACVJguvW4YPPfg47fvFL6OFwdtcgGmMiCR13v7oNl9/zFlZsbYeqKXANk4xOx+ub23DNyVMwUExpUwX++6qF+O4lR0FjMEk0Yd1www2YNWsWotEoLrvsMoT5HkxZUOwuaAUVgLo/1hMQ/hIkczBpGEpKHPoZWQLoCMfR0BVBNJH9pCfRWLOzI4y7VuzEXzbuRUw30dgVRbZ7pnVTYld3BF7HwLttAk4NCycF4OXuGqIJjTEk5YpNVfDpeeU4cXJB33NHlfvh0BQYWSZI7IoYsCxyQjfR1htFMMrFkTTxSCmRTCSQiMdhmia8dgVeW/ZVd3RTYvGkgdtSqULgpMmFOHpSgBV+iCawsR4/8hPwKCeEwJQbr4Nncg123/8ICpYswPY77sx6XN/UKiTb2wZ+0TDQ9MSTaH/1VUz+8pdRfMbpfKOjcU1KiZfX78Wv/r4VrYfszDYVwO+yIRjNrm/o06sbceMZM/Cbv2/te67Q58Cd1x+LxVMKsxqbDp9crXDkKknar76+ftDX7r77blx44YV4/fXXMWfOHNx44404/vjjUVxcDJ8vvZLR1dXVubpVGuOEZoNWUA6jpw3C6UMsB7+HkoZEJDl4YjxhmNjTE4XPoaHQ64CmcLEWjW/d0SRe2NSCdc3Bg55PGhLtoQQKvdlV4GkPJzDJ74RdFQeVMi/3OzCl0AOFn9FGLcaQlGuMIWkkCCFw0pQiFLrt+Kg5iNklXuzuyr76SG3+0P16w/EkYgkdfrcdThunqml8k1LCMAzoyf7zjEUuFTHDgJ7l+78CYE6pFxtbQn3PuW0qTpuW+vdNoxPjR8q18Ro/CsmlcGOGkUzivcuvQ++mLVmN4ywrBmK9aR+fd8wxmPqNr8FdU5PVdYlGo617e/Gzv23CmvruQY+Rpgk9bma9OnnZ9EJ4bSqef38P5lQGcPcNS1FRkF6/bRo5jY2NqKqqAgBMv/4B2HxD9KdNU7K3Hdvu/xwAoKGhAZWVlVmPSWOToihpLRSTUma8oEwIAV3nLlk6mJQSumEgnshucZaUEl1xM+0ewYoACj0O+J02Lo6kcSdpmFixswP/3NGO5BD/JmaVeWGxrXYfAeD0qUWo744CEphS5Bmy7ykdOYwh6XBiDEkjTTdMvNvQjUjSWn/f/YrdNpR4hm6ncSCHpsLvsrOSHY1L+0uND5WOiSZNNIWz+3cHAD6Him0dETQGYyj22HHq1CK40uy3TSOH8SMdTuM1fuTytzFEtdmw5LHfYetPfoHG/3vK2iCKArvfhUQGSe3u1avxwTWfQeXVV6Hqs9dBdXIShca+nmgSv/7Hdjz9fkO/MqqHEoqCikInGtqyK8XxzrYOfOOTs1Fd5MFNZ86Ay85fwaOdKWXW/Wf3j0O0X7rrCbnukHJBCAGbpkEIgXgiAas/VnETaSe0AcCUQFsojmAsiWKvE05OoNA4IKXEptYQnt+4F52R4ReKbGsNY2apF8ksFkZKAO82duP4mgK4bOqwfbZpdGAMSYcDY0gaSZqq4NiqPGxuC2HvIRXt0qUIoNRryyj+jOsG2nqj8Dpt8Dq4OJLGBykl9GQShjF8stplU5DnBLpj2SW2e+MGjirzocBjx1FlfqgK/y2Ndowf6XAYj/EjMypjjOpyYfZ//QcKT1iGjd/5IZI9PRmdX3ziUvR+uCbj60pdR8PvH0briy+i8vKLUX75VRAsKUljkGFK/PmDRtz7j+3oyaCkeGs4jpoiD+rarSe2XTYVfrcN1508xfIYNLJY+ody7aSTTuLEDB0RmqpCdToRSyRgZNhb24REMG5tUiWum2jsjgAAKvPcTG7TmNUWiuOvG/diawaLHA1TojeqwzlIX+x0eR0a8lw27q4ZQxhDUq4xhqQjQVMVzCvzo8gdw6a2UMbV62YUui0vqAzFkojF48izCWguD3/+aUwaqtT4UPIdAtGkQDyLkj+KAOyaikUVA/fXptGH8SPl2niNH5nUHqNKTj8F/nlzsOHb30PnyvfSOsd/1ByEN23I6royFkTLEw+jZ9UKlF9xLQJLl4/Lfxg0Pr2ycS8eenMXtuxNv1LBfkIIJCDhtKmIWSi/dVR1Hm6/fCFqij0Zn0tE48drr712pG+BJjAhBJx2O3TdQDyDiZVIEsNWNRmKbkrsCcZR3xNDZcCFmnw3HBoXR9LY0BlJ4PUdHXi/octSKfGG7iiWVOehO555aTZVCCypzMPsEi8/cxFNcIwh6Ugq8zsRcNmwfm8QPbH03s9KPXaoWb51OfUIkIjDiIeguAMQdiffD2lMkFLCTMSgS2Fp96MiBErcKhp7dVj5GOa2q5iU54KdZfyJJrTxGj8yqT2GOUtLcPTv7kHdg49i+y/ugtQHT7RpPi9cJQXoqd9p+XpCAexuO2AaiO3eiV3/8wO4pkxD+RXXwr/kOAaWNGqtbezGI6vqsXJbGxIWd5oBQFc0iaXTC/H6xta0z1EVgS+cMR3XnzqVPaHGIClztEpyDJVwIaLxTQgBm02DqiqIxRPDliYzoSCUSGR1zWA8NRkjJVDfHUVjTxRVeS7U5LlhZ3KbRqnemI6/bmjGC5taUJXvtjShuN/G5l5MK/Vm1Je00G3DyZOLWG58jGIMSUTjjcumYnFlHnZ1RrCrMzLksXZVoMxrh25mVh3oQIo04DBTZc+lnoARbIPQ7FA8AQgbk9s0OkkpgWgQsrsZht0H6SmwPJZdFShya2iLpL8wUgAo8TlQ6LHz38gYxPiRKD1Mao9xQlFQ+/nPIH/pMVj/je8gUlc/4HFVV12C5if+L6truUoKAPPgPjrRndux8/b/gnvaDJRd8Rn4Fy/hmyaNClJKvF/fjUfercNHe4IAAJtDg2LC0k7r/d5v6MKxUwvx7o6OYY+tLfLgR1cuxLyqPMvXoyNLmhImS/8Q0TikKApcTgcSySSSgyyMFALojma+u/RAuinRe8iCMlMCdV1RNHanktvV+W7uIqBRoyeaxHPrm/H8xr2IJVOT8W29cRT5HJbHDCcNaGl+RBIAjir3Y2F5gL0PxzDGkEQ0HilCYGqhB4VuO9bvDSKmD5y0nlXshZ5G7+CheMwYDn0XlHoCRk8bhObYl9x2cA6SRgUpJRDpgexuBuKpVjVqPArTnZfaJWaRzwaEbWpaCyMdmoLKPBfbPY1hjB+J0sPZo3EiMG8Olv7pMVRc9Kl+r5V/6pPofP21rMYXioCqDv4GGtm+FTv/+7vY+u+3ILhmNVcE0REjpcTKXZ34tyfW4pvPrOtLaAOp3WnClt2vPd0EnC4N+R77kMddsbwGT37lRCa0iSgtdXV1aR33k5/8BM8++yx0PbtEIxGQel902O1wOuz9Jg0BIGEqSGTYf/tQoYQx6A5XQwK7u6J4a3cndnSEkczyWkTZ6Iwk8MDKOtz4xBr86cOmvoQ2ALSH4tCyTDB/0NCDKfnuIY/xOTScO6sUiyflMaFNRGlhDElHQp7LhqXV+Sj19l/wVZXngjSzS2gr0oDdjA36utTjMHpaYfS0wkwMfhzR4SalhAx3Qe7ZBNmyvS+hDQBCGlCDLVmNL4RAiUfDcGFhoceOKUUeJrSJKC1jPX5kUnsc0TxuzL3te5j/8x9B83kBAO6aargnlSK+d29WY/tn1kKm8cMb2boZO37w/7DtP76K3g/XMLlNI8aUEiu2t+MLj6/Bfzy7HpsG6ZutaAqK/NZ32gDAu7s6cfnymgFfK/I5cO/nl+A7F86Dy85gcqyTct+HlKy/jvR/CY1WTzzxBGbOnIlzzjln2GOTySR++MMf4qKLLsKMGTPw2GOPjcAd0kSgqSpcLidU5eOPBqqmoTOaXdlx3ZRp9V00TIldnRGsYHKbjoD2cBy/fXs3bnpiDZ5b34z4ALvOJIC6jnD/kzMgAWxtDaFgkHLiM4o8uHBO2YAJAhp7GEPS4cYYko40m6pgXpkPc0p9fb2zvXYVpW4bst0k6EP/XdoDkclUclvvboGZZHKbRo6UEjLUCdm4EbJlB5AYuCS/EumEMLNLBqkwUeodeGONTRWoLXCjzO+EwqoFYx7jRzrcxkv8yPLj41DZOWcisGA+Nn7nh6i86hJs++EPsxpPdbtgBrsyOie8eSO2/9e/wzt3Pko+fRn8i49lSSA6LAxT4o3t7Xj03XrsbB9+slEIgZgpoQhk9UHrH1taceExlfjz6sa+5z4xvwz/edH8YXdxExHFYjFce+21ePrppyGlhBAC7e3tKCoqGvSclStXIhKJQAiB3bt34zOf+QxeeOEFPPTQQ7DZ2HOVsqMIAafDjqRuwDRNdEf1rD8MR5NmRn2I9ye3G7qjqAo4Ue53wm3nxxU6PFp6Y3j6wya8urUNehpBYTCmY7pNQSRpfdHFrs4IjqrwoyeWhLHvkk5NwQm1BajOG3oXNxERwBiSRhchBCr8TuQ5NWxsDWF6oRuReDKrMVUYsOmZJahlMg6juxWmzQnhdEN1erO6B6LBSCmBUGeqzHgaCykEALWrEXphbVbXdasSPoeG3vjHCfKAy4Zyv5PVfYhoWOMtfuRO7XHKVVGOxQ/eC9WmQbFn90OWv3A2pG4tKA1tWIe999+Bhtu/iZ4Vr8CMc+Uk5UZSN/HSxhZ8/tH38cMXNqWV0O6jCEwt82V1/fqOCGpKPKgscMPj0HDb5QtwxzVHM6E9zkhT5uyLaD/DMPDpT38aTz/9dN9zUkp89NFHQ55nt9tx5plnQlXVvnP+7//+D1deeeVhvV+aOIQQsNs02O026FlmtKWU6Ixaix91U2J9Sy8eW7sHb+zqQEckux3jRAeq6wzjzjd24OYnP8RLm1vTSmjvt2lvsG83mlX/3N6OheUBAEBVwIlPzy1nQnscYgxJhwNjSBqt3HYNx1TmwaZmP80cQNzyuTIRhbnpLSTXvw6zrT7rMuhE+5lGEmawFbJhPWTbrrQS2vspiTAU3frP9X6lXhs0RUAVApV5LlTmuZjQHmcYP9LhMB7jRya1x7miU07G4scfR9EZp1s6311ThXjdDsvXVzQFijARb9yN1sd+jV3/cSPannwQib17LI9JE1tHOIFnPmrCv/5xLf7n5S2o6xy4xM9wWqNJ+JzZ7f565J06/Ncl8/Cnr56ICxZXshrBOGSaMmdfRPv96Ec/wksvvQQgFRRec8012LJlC0477bQhz1u6dClefPFF7NixA9dcc03f+c888wzuvPPOw37fNHEoQmBSwIUSnxOqxfe2iC4z2qV9qN6EAd2U2NDSiyc/asKfNzRjW3sIBn+fkgW6YeKNrW34xh8/xFefXodXt7bBsLBwI5IwEXBmt2A4GNPREozh9KlFOGNaMVzsfTguMYakw4ExJI12bruGYp8LDs3ae5tDmFCSUes3EAsDiSgQ7oKx8wPoa16CUb8eMpZdCxGauMxwD5Kb3kZy5Z+B9nrAYnJa7azP+l6koaMyz4WpxR4EBmlnQ2Mb40c6HMZj/Cgkmx5PGF3vvocdd9yBaH1D2ueUn3s6et9fafmarrICqGLg3iGumfMQOOlseBccA6GytCQNzjAlPmzqwWvb27GuKQiJ1C/R7t44gmn06hzMvBIvVm5rt3Ruic+BL39iBs6cV8Zk9jjT2NiIqqoqAEDllb+G5i3Mekw91IHGx78AAGhoaEBlZWXWY9LY1NHRgerqakSjUWiahocffhhXXHGFpbHuuecefPGLXwQA+P1+NDY2wutlqT3KLcOU6AzH0RNLf9e1pgjs6IxaTmonDRO7uwee0HTZFMwuTvVv9DkYP9LQmrqj+MtHzXjho2Z0hFM7/u12BX6f9b7VLk3BvMoAQnFru78WVwZw1szSrBdX0ujDGJIOJ8aQNNbEkjqC0URGCxKLEAGySWq31gGhjgFfEoESKKWTIfI4h0NDk6YBc+9O6LvXw2z/eA7dPmsJhGY9mWwUTYZhs1adRwgBzWaDoij8+R1nGD/S4TRe40d+kp5A8o9dgqMfeRiNf3gcDQ/9HmZ86NVlRaeejNCHq61fUACqTQCD5ByjW9YjumU91EABAiecjsAJZ0DLy/4XN40fbaE43tjRgTd3dqD7kBKmQgg4HBqQRVJ7a0cYU0u82NEaSvscmypw9bJa/MuJk9nncwKQ0shJyTIpWfaMUh599FFEo1EIIXDrrbdaDiYB4Oabb8aGDRtw7733ore3F4899hhuuummHN4tEaAqAsU+J3xOG9pCMcT1ofsJCwDBRGa9tA8VSQ7+OzOaNPFBUw/WNPWgJt+FuaU+VAVcnNyhPknDxIpt7Xjuwya8t7ur3+uJhAmnpiA2zM/yYKK6iTyHLeOk9qSAExfMLUN1PkuNTwSMISnXGEPSWOO0aXBoKkKxJEJp9Nn2aACiWSS09SQQ7hz0ZdnTCqOnFbC7oJRMhlJSA2GzvsiNxh8z1AWjbgP0hk2pHf+H0Pfuhq1yuuXxlc4GmGUzken2Qk3ToGoaP+9MAIwfKdfGa/zI8uMTjGK3o/qz12Hx44+h4MQTBj1O9XrhLPRB6tYThq6y4lRQOQyjpxOdz/8Ru77zr2i+72eIbF4HFhCYuHRT4r36LvzsH9vwrec24C8b9vZLaO/nsqsoyKKHdcKQmFUZSPv4E2YU4Ymbj8e/nT6dCW0isuTVV18FABQVFeHrX/961uPdeuutcLlcAICXX3456/GIBuO0qajMc6PY68BQrducdhWtIes940wp0Z3GgjUJYHdXFM9vbsUf1u7B2qYexIZIhtP419AZwT2v7cCn73kb//nshgET2vt19mTX13DFzg5U5bnSOtZjV3HR/HLcfPxkJrSJyDLGkDQWCSHgc9lR7HPBrg0+Ba0IwG1Yay3XJ9yFtLKFiSjMxo3Q17wIfftqmL0dnIOcwKShQ2/cgvhbf0L8H49A3/HBgAltADC727L6WRGmDjXem/bxiqrC4XBAs9mY0CYiS8Zr/MiszATlLC/H3J/8GB1vrsCO//0F4s3NB71eeeXl6Hj+j1ldw+53wwhmMGFkmgitWYnQmpVwVU1C3klnwjnraGhF5VndB40NLb0xvL6jAyt2dqRdUlwIAbdDQ+e+cpJWrKrvwmmzS/GPTS2DHlNd4MbXzp6J46cXW74OjU3SzNEqyRyMQePDhx9+CCEEzjzzTGha9mFYQUEBTjvtNDz//PNYs2ZNDu6QaHBCCARcdngcGjpCcfTGD36/1hSBzoj1BZFAqvdxwshsB20wruOd+i6s2NUBIYETJhdidqlvyMlTGh8SeqpX9nMfNuGD+u60z4vEdJQWuPr9DKcrmjTg0hQIYNCqBIoAjqspwBkz2Dd7ImIMSbnGGJLGMk1VUOBxIpY0EIwmYB6SGPTZBWQoi13aUgLBDFvLSQnZ0QijoxGJjg4o5VNhnzwPal6R9fugMcPs7YRetx5G42YgEUv7PKNtD7QS66Wcla4mKOWzhux5vL/UuKoyfpxoGD9Sro3X+JFJ7Qmu8MQTkLfkGDT8/mE0PvoYpK7DM2MGZKgDMKz/AnRWlMEIDr47YjiaDQi//SLCb78ItaAUzpkL4ZixEFrJJK5OG0c6IwlsbQvhzZ0d2NCc/mrFAymqQLHXgTaLu8JiSRMVRW64bCqih+zwcttVfP6kKbhiaQ0nxicoaZo5CiitlTil8aejI9XjbcaMGTkbc8GCBXj++efR1taWszGJhqIpCkr9LviTOtp6431JaI/Dhu2dwazG7k1Y/53bHU3dz9a2MOyqwJxSHxZMCmBOqQ9OJhXHjVjSwMrt7fjnxha8U9eFSNLae2zSYk/s/V7Z0opPL6jA+409/V6bUujG+XPLUOZzZnUNGrsYQ1KuMYaksU4IAZddg8OmIhRLILxvYZldVWBPhLJqXYN4GEimn5g8kDRNJJvrgMYdiL/3MpSCMtgnz4Vt8jwo+SWcgxxHku17Edu8FnrdOjh91krPG20NUEurIaTF92dThxYNIuHwDfjy/mQ2f+4mJsaPlGvjNX5kUpugOp2ovelGlJx9Fnb87y9Q/ulPoeGX/5PVmO6qCiTqt1u8H/tBwYHR2YLwOy8h/M5LUPOK4JixEM6ZC6CV1fBNfoyRUqIpGMPW9jC2toXQvm+HtW5KKAIYYqHioIQQKMtzWk5qA8DfN7fi2uW1uO/1HX3PnXNUOb50xnQUczKSiHJI39fWw2633jrhUD5f6gNxImG9agWRFS6bhqp8FT3RJOK6gb292ZV0VhSBzkFajqQjccDitIQhsbYpiLVNQWiKwOxSHxZU+DG3zA+3nQnusaYrnMCbW1rx2sZWvLO9DbF9iWy32wahWfv7bOyIYHqlH10Wf+bCCQO6bh60MDLPZcO5s0sxr8zHzylElFOMIWm8UISA3+WAy25DMBqH3yYgg1ns0gaA3sF7aQ/H6O0BjI8rt5idexHr3IvY+69CCRTBNmUebJPnQS0s53v7GCNNE4k9uxDbvBaxLR9C70hVaFRsNjjmzYClv00pYfZ2QfWm38qwn54mqOWzYRxQnUpVVZYZJ6KcG6/xI5Pa1MddU4P5v/hfRLZvhatmMqK7dgx/0gCclVVINO6yfB+OkmIAA68oMrrbEXn3FUTefQWKPx/O6QvgmLkItkm1EII7aUcj3TRR1xXF1rYQtraHEBpgV4ymCOS77eiwWEa8J66jzO/A3kzK3R8gnDCg2hVUF7jhtKv41jmzsKA639JYNL5Iw4DMomrFgeMQAUBeXh7a2trQ3p5hebwhdHWlKqPsDyyJRpIQAnluO6SU6I4bECK9doYDievWf1cmDRM9g7Qv0U2Jdc1BrGsOQhUCM0o8WFARwPxyP7wOfhwarRo6wnhtUyte29SCtXVdAy5+jMV0uLzWFykE7JrlpDYAvLCpBTcsr8XLW9pw0tRCnDy1CHaVn0mIMSTlHmNIGm9sqoJCrwtmIgZDtQGGxfdj0wR6rf+7MMLhwYfuaUd8zWuIr3kNiq8AtslzYZsyD2pxJZOPo5RMJhDbtTmVyN76Ecxw/6qQZjIJI2FAs7jQVa/bBHX+CYBpse2SoUONdsOw+yGEgM1uh6IwfiTGj5R74zV+5CwO9eOeNgMz77gbPe++jebHH0GsLrMEtX/eHEQ+fMfy9TWnDUgOn5w0g12IvP8aIu+/BsXjh2PaPDgnz4Bt8jwIm7UyMpQbsaSBHR1hbGkLYUdHJK3emE6b9QBOCIFZZX7sDVove/HWzk7cec3RKA24oCr8cEJEh8fMmTPR2tqa094zq1evBgBUVlrv7UWULSEEZhZ7UZPnwu6uCPb0xDIqI+m2qdjQGrF8/USaJagNKbGpJYRNLSE8uXYPphV5kO+04cSphajMc3GC8giSUmLjniBe29SC1za1YHtLaNhzTFPC79AQtNgbe119N2orfJYXVobiOhyqgq+dPBX57tytficiOhRjSBqvFLsTIr8MMh6BETl413Q6RKTbculyaZrQu9Kb6Dd7OxH/6E3EP3oTwhOAUlIL5E+CZ95iKE6XxTugXDAiIcS3rUN0y4eIb98AmRw+ros2NsE3pcraBaUJM5mAks1CxnAX7L5iCCH4+YOIDpvxGj8yqU0DEoqCvONOQODY5eh+ZwX2/t8jiDXUDXues7oWifqtlq+r+TxpJbQPZYaDSO5YCy3YAP3Df0DJL4FSVAWluApq0SQIh9vyPdHwkoaJzmgSHeEE3q3vQnNvLONS4i67Cr9TQ3CQXVbDaYskUOp3oCXD3dplfgeuWlKNs2aXsm829SeNnPSzgeQqSUpZvnw53nzzTbz55ptobW1FSUlJVuPt3bsXb7zxBoQQWLBgQY7uksg6p03FrBIfavLd2N0ZQVMwveS2EKkd1VbF9cz7hpkS2NIaQkNnBI+ubkCey4Z55f6+r5oCNxe6HUZSSuxuC2Pt7k689FEztrWG0GkhuRyJJgCLu1viuompBe6Mk9qKAE6eVoRLFk7CpAAnsmkAjCEpxxhD0ngmhIBweiAc7syS24oG2bHH8nWNaATQM489ZLgHvateQ3hPG6AocFRPgWvaHLimz4Fr6iyoHq/le6LhGZEwIts2I7R5I+SeTZChLiDDHtfJniCkokFY3G2t122EfdrCzHdr2xwQeeWAt5DJbOqP8SPl2HiNH5nUpiEJRUH+8Sch77jj0f32G2j+v0cQ39M46PEFxx+P4Gt/sXw9d+0UIGStHILm3V/yQMLsaoHZ1QJsS60cEf4iqMWV+xLdlVBcLK9llZQSkaSBjnAC7ZEk2sMJ9MSSfRPWoYRuuTd2sddhOakdShhYPqUQz6xtSuv4yjwXrl5ShTNmlUBjmUgahDTNnASU0sw82ULj08UXX4wf//jH0HUd3/ve9/DrX/86q/F+8IMfQNd1CCFw7rnn5uguibLnsqmYXepDbYEbuzojaB4iue2zq9jZZX2XtmmaaLPYzztpyL6EeHc0iRU7O7BiZwcAwGtXMeeAJPe0Ig9jhixEEzo2NPRgze5OrN3dhbW7O9Ed3ldqVAB2p7WPpj2hBAoK3JYWNgDAlj1B5Ltt6IoMX/ZUUwROnV6MixdUoMzvtHQ9mhgYQ1KuMYakieDg5HYYRrgHGOJ3qUhEIa2WLQdgRq3FjwCgJ/b9fjZNxHdvR3z3dnS/8hwgBOwV1akE9/Q5cE2bDc2fZ/k6E52UEonWvQhv2YjIlo0Ib92EWP3uvn5HgamTYHNaLCMeM2CzWGhHRoKQmh0ikeYcps0JkV8OeAqYzKZBMX6kXBuv8SOT2pQWoarIP/FU5C0/CV1v/hN7n3wM8aaDV0O6Jk9FsqU+u+uYcctlgzSPe9AVcjLYDj3YDuxYm7qOJy+1i7u4EqKgAsKbz/4lgzBMie5Ycl8SO4GOcALRISYN3XZt0J6Ww5GQUAQsJcUBIJw0Uey1oy00+ErbmgI3rjm2GqfOKObuKyIacccccwyOO+44rFy5Er/97W+xfPlyfOYzn7E01h/+8Af85je/gRACpaWl+NSnPpXjuyXKnsumYk6pD7X5buzqDKN5gOSzz2lDt8XYAQAcimo5fowlB79uKGHg3bouvFuX6hnl0BTMLvVhXoUf88p8qC10w+9kyenBtHRHsXZ3V18Se1Njz+C78SXgtquIJKxN4lT4HdjVGbV07o62MK47sRbPb2wZ9BhNEfjEzBJctKACxV62OSKikccYkiaSVHLbC+HwQMbCqZ3bhyR6hM0B2ZJZu8QDSWlCb09vU0T/cyWSvYP04pYSiT11SOypQ89rfwMA2Eor9iW458BRPQX2sklMbA7CTCYQ3bk9lcTeugnhLZug93QNenysoxu2SYWWrhXetRN5MydbvVXozbthK64Yere23QWRVwF48vh3TkQjbrzGj0xqU0aEqqLglDOQf+Kp6Hz9Vex94jEkWpoBAEXnnoeupx+0PLZr6nTISK/l+8qkZIwMd8MId8PYvQ5KQSlUfyFMlw9w+yBcPghn6k843BMm6JBSQjdTu5XiuoGGnhg6I0l0RRMwMpgpdttVqAIZnbOfqiqYUujB9vZBPhwMY0tbCJ+cX46H3ulfKn9KkQfXHluNk6YXQZkgf6eUPWnmpvRPTsoH0bjxs5/9DCeeeCIA4HOf+xy2bduG7373u3A40kuURKNR3Hbbbfjxj3/c99wPf/hDOJ3cNUijl9uuYm6ZH7UFOnZ1RrB3X3I74NTQ0GMtGblfMG59h44tg0WNcd3E2j09WLunB4Zhorcnjkn5LtQWeTC5yIPaIg9qCz2oLXLDbZ84H7NiCQP17WHsbg1hU2MP1tR1orEziuauDP9esyg/35Vh+5lDtXXFEHDa0BM7+GfJrgqcOasUnz6qAoUeLmCg9DGGpMOBMSRNNEIICJcXwumBGQvBjAT7ktsCgAwPnuwcjgkNMm4tBjXiCZixWNrHJ1uakGxpQnDFK+htCUPXFbhrauGqqdn3VQt3dQ3sJSUQE2TDjZQSifZ2ROoaEK2vR/CDVVBFAtEdWyH19Od3E71R7PtpyPgezEgEcOUB0e6MzwUAc+9OoHYu0NvW/0WHO5XMdgcmzLwyZY/xIx0O4zF+nDizLZRTQlVReNqZKDjpNHS+9gp6Vr8L2TPAm3gGXJWV0Os3WzpX8wcsX1dxeQFTTwXD4a6DwyBFBZzeVKL7gC84PGM20DRMibhuILYveZ1KYqceHziX2BVNoj2NMoyHUoRAvtuOdgs9EQGgwGMDrFWgBwDYNAWFHntfb8QZJV5cu7Qay6cUMplNGWNASYfD8uXL8d3vfhe33norAOD222/HfffdhyuvvBKnnXYajj/+eBQWfrzaXEqJ1tZWrFixAi+//DKeeeYZdHR0QO4ruXbVVVfh+uuvPyL/LUSZ8tg1zCvzY3KBjp0dEeS7bHh/T4/l8fwOFVv3WlsUCQC9MWsJcdOQkAAau6Jo7IpixbaDg5dSv+PjZHfhvoR3kQcBl83yvR5JumGiqTOKXa0h7G4LYXfrx1/N3dH9FSABAA6HBsNCgronnIDNYe3j6Z7OCOZMLkBdh7Uy9v/c0obrT5mCxz9ItVlyagrOnl2KC+eXI8/NZDZljjEkHQ6MIWmiEkJAdfmgOL0wYyHIZByyvSGrMY1QyPK5um59PtA0FRihEHo3rEfvhvUHvaY4XXBVV8NVU3NA0rsWzvIyCHVsTuEng0FE6xsQqatHtL4ekfoGROvqEWlohBn9eFGBM98JV37mCRJpmIDDDcStbY5JhOOwW/3rlCaM7laoNu3jSgIOD0R+BeDyM5lNGWP8SIfDeIwfx+Y7Io0aQtNQeMbZKDzjbIQ+fA/x+p2IbtuY8TiqL5BVUtxeXAokLQakqoZBV/SZBhDpgYz0HHyEEBAF5RD+olRgqWipcRQNQlH7HkPVAKEc9kBGSgkpAVNKmFJCSglz3/ehuI6YYSKxL3k9aNnHQzg160G622atnw0ABOP6QUnpTK2s68Kliybhje3t+MzSGhxbm89AkohGnR/84AeIRCK44447IIRAW1sb7rzzTtx5550AAJvNhqKiIsTjcXR1dfUFjwAOenz99ddn3ROH6Ejw2DXML/cjktAxv8yPzW0hJIzMe385VcXyBl/DNK23TBnmoi3BOFqCcaza2XnQ8z6HCrciUFvkRYHXjnyPHQWefX96HX3f53nssI1A/+5YwkBPJIGeSDL1ZziB7kgSHb0xrK/vhm5K7G4NoaE9jGSaZXhcdhUhC/9fpQl4HRpCcWt/J5P8DstJ7WjSgCqBUp8DJ00twvnzyuB3js0FCEQ0vjGGpIlsf3IbLh/MZBxmtBcy1Dn8iYeQdhf05g2W70M3rMVoUkro4cF3h5uxKMJbtyC8dctBzwubDaZwwTGpCvaCfNgLCmAvzIctPx/2wgLY8/NhL8yHvSAfqsdz+OcgDQPJ3hCS3T37voJI9qQeB9dvgOa2I9rQiGh9A5Ld3WmNqWfRiigeisNhMWwLb90E+1GzgYTFXft1G6Ae/QkgFkr1zHb6OAdJRKPOeIsfmdSmnPEuWALvgiWINzWg542X0LvqdZix9IIC3+LjYNR9ZPnaiiYAKxttFBXCShdGKVO7uOPhfmf3H00AqtqX5JaaC9LlP/j1/n/0GyNuSOhQ9iWtP05g7/9+MJGkgd6EhUliTbHc31pVrQdwhgTmlfnw+o6OjM/VFIHZpT6cOacUly2uZCBJWZOmmaNVkpn/G6Tx76c//SmWLl2Kr3zlK2hqaoKUEkKIVCm2RAJNTYP3eJs6dSp+/OMf46KLLhrBOybKPbddw/G1BTi2Kg/bO8JY39KbdrUXmyrQ0mttERwA+CzuCgYAr11F2EJFm+5wEq2xJHa3Db+bxO+y9SW5XTYViaSB0oALikhVxhEiNbn78fcCAoCifPy9bpjY0xGBz6kdkLhOojuSQE8kgXhy8PcnVRGWdlwbFhYn7FfidyDUZm1Ss6kzAqdNQWyI/6bB1BS4keey4Z5LF0JVGD9S9hhD0uHEGJIIUAonQSmclGov2LILsqOxX9/twUjNDRm1trN3f9lsK8ykCWlk/t4gk0kkwgmE64bvAa7Y7bAV5O9Lfucj0R2Cq6YGYl+QKBQltVFHiH3fCwiReg6KgNh3THjnbjjLSj5OXPcEkejugd4TRDLYi8EmIjWXBpuFli3ZJLXD9Y1wTC2zdK6MhoFAGdBmoT+7okIpqAC8hVAKJlm6PtGBGD/S4TSe4kcmtSnnHBVVKLniehRdeDWC776BnjdeQmJP/eAnCAX2/ABi/dsgp0W4PEDUYi9uW3q9AwaUdukfCRh66isJmB4npJ75JGjCUBCTma8GVS0mdoUQ8NhV9MYzfzPVFAUlXgdaQ9b6G3qcWkYJ9TK/A6dMLcLxkwvhc/LXGhGNHZdccgnOP/98PPzww/jDH/6At956C/ogPcTy8/Nx2mmn4eqrr8b5558PVbVeFYNotLGpCmaX+DCr2IvWcAIb9gaxvSOMoTYHT85z4/kNLZavKay3cLbSti912lArEQ8RjCYRjCZR1x6GaUokLcRkUkrINHdYH8rqjutQNAlVs/b7KWFhIeZ+Gxt7cP6Sary6uTWt4+2qglNnFeOCBRU4qpL9DolobGEMSZQiPHnQpiyCrJ4Ls70BZssuIDZEJUehwOjOfBPFflJzwghaa51jIZ/dx0wznjMTCcT3tiC+NxUjm7ChY+UHGV8vlezO+DTLcSckoHj8MMPBjE81Ywko/gKYwcx37QNAorsXmaThha8QWu08qJNmQtiPXE9ZIqJMjZf4kdkfOmwUpwt5J52FwIlnIrZjc2r39gcrU8ndA3jmH41k/VbL13HWTgNi1gIX4S8c/qDBzrXaU1tYO08IaWkCNZvdJm6btaQ2ABS67ZaT2nt6YlhQEcCaIXpsaorAkup8nDKtEDOKvZyIpMPClAZEDlZJmpL9bGhwDocDN9xwA2644QbEYjFs2rQJDQ0NCIVCUFUVeXl5mDZtGqZMmcLfdTTuCSFQ6nWgdFoxltcUYHNbCBtaehEcoCS1AsDIIEl80HUAtPZai1OklOiJWNshblOEpeJC2bBaecdusRWNxb8SAEB9Wwhuj83SbmspgeI0dgZNKfLg/AUVOGtuKfxjtMc5jX6MIWkkMIYk+pjQ7FDLpkIpnQIZbIfZsguyqxn9JtIKKpBc+Yrl65j2gPV7dOcBsFAuXUqYMWtxq2KzOPUvBKxMQppZVOyRauY7vPvOdfoAi0nt6NYNcB5zNMyOPYMfpGpQJ82AVj0XIr+Mv1PpsGD8SCNhPMSPTGrTYSeEgGvabLimzUbRJd0Ivv0P9Lz5MvTOVLke39FLEXn9acvj2/wBSItJbcXrB4wRnlq0+MvAalfFLCqBw5FFL0eHzfq5kaSBpZV5Aya1JwWcOGVaEZbVFsCbRdlQonRI08hR6R8GlJQep9OJRYsWYdGiRUf6VoiOOKdNxcKKABaU+9HQE8OGliDquqKQACp8Dmxvt1Y2EgAqAg681mKx0g9gKekKAH6nhkh05GJPIQScNgWRxMi+D5UEnGjtiWV8nm5IzKkI4IO6LkvX3dzYjanFHuw4pLy7Q1Nw+uwSXLCgAnMr/KP2wzmNH4whaaQxhiRKEUJABIqhBIohE1GYrXUwW3cDyVRcIlUnZCTz3cD7JSPWkssAIBWLi+kkLJUtB1L9uC2dJ4SllYrSykrKfZKhuOVERaIrBKtLFY3udiCvAhggqS38RdBq50OdNCO7ap9EaWD8SCNtrMaPzAjRiNL8eSg4+yLkn/kphDesQXjNKgg98wmv/YTdCSSsT2gKzW4tqa1kUW7Bajlwy5cTsKsCCQslgLQsdnnHkgYK3XZ0WNzJZAqgwG1DZyQJuypwbE0+Tp5ahGlFHk5EEhERTSBCCFTnuVCd50JvXMfGll7ku2x4Y7v10pEBh/UduqVeB7q6rMWvTtvIl+xy2FVLSW09i0nJIq/dUlIbAAos9GHc771dnbjl3Fm457WdAIDpJV5csLACn5hTysWQREREE4ywu6BWzoJSMQOyuxmypw3xvUO0RxxuPLcP8a3Wz0+GopbOyyZRLLQsdmpbuawEVK8XRmiIEvCDiO5th6/EWuI4tH07CudNhtnbben8eFs7bDZnavGDaoNaORNazVyIQAnnIImIRhl+sqcjQigqvPOPgXf+MTBCQShuL+Jb1yJRvx2Q6e98cUydC9ndZv1GzMz7BAIAsukhkE35cYs0RUHCwqpOTUn11Q5bmAg1JFCd57Kc1N7eHsan5pUjaUosq82Hx85fVzTypGnmaJWk9RJcRET0MZ9Dw9LqfJhS4gvLa7F2Tw8+agoOWJ58KNGk9d/t+U7rCXH1CEyKWU2kxyy2oAFSsadVvZEEVEXAsDCBm9BNeO0qPrWwAucfVY6ZZT5ORNIRwRiSiGj0EIoCUTAJKJgEZ8lkqL48JHath9Fch0wyt0rJZCTfet/SPUihIN7aaulc4XQBiFg6V8kmqW2R5vdbSmrroSjUqcUwejPfSW+EemGrnIr4Jmt/P7GtH8H9ifMARU3tytasL7IksorxI1F6mCWiI071+uFedCLci06EGQkhvn0dYlvXIrF7CzDML3J7RSXkTotBYaAISFosG+T0WTsPGPGd2gBgUwWsNnAMODRLSW0AyHNnPulbFXBhRrEHM4q9KHAziCQiIqL+FCEwvdiL6cVeXLygArs7I1i7pwcfNgXRPUx575p8F7a3ZT7Rtl8W6wxhWJxgsGvCctjqsltLaiey6IkYiVsvsb6hoQeLavKxelf67YWKvA6cPLsEp8wuxZIpBbjgCOyIJyIiotFP8QTgmLccjnnLYUZ6kdy9EcldG6A37Rx2k41uucA1YCurgrm5xdK59oIihBusVSiyvFNbUQCLuTXV7bF2IgB72SRELSS1AcBUnZmdIBTYa6bDNXMBnLMWQMsrsnRdIiIaWUxq06iiuL1wHbUMrqOWwYxFEN+xHvEtaxHftQkwDt6BI2x2qKoCi3utoRaUA4a12UHhcFu8Kka8pzYAaFmssPRanAgFACklvHYVoSGS4poiMLnAjRnFXkwv8nBHNo0uhmG5d9Wh4xAR0eGhCIEphR5MKfTg0/PLUd8VxYdNPVjbFERHuH/FmJnFXry62eKiSAC9MesJ26jFhYJ+pw3hsLWo15lFLOd32RC00AN8T0cEeW4buiOZn9sZSuCoqrxhk9qTiz04ZXYpTp1TirmTAlCyaJtDlHOMIYmIRj3F7YNjzlI45iyFGYt8nODes73fJhvhdCPe3m79Wn7rCVPVa31jjdCsxYFCUSxVHwcAxWZ9g4ri9ls+N97SDtXhhIwP3gJH2BxwTJubSmTPmA/FZT0BT5RzjB+J0sLsEY1aitMN19xj4Zp7LMx4DImdGxDbuhbxnRuBZAL2KXNhdjZbHl9484Aea6skhd0JwOruFYvlxy1eDQDULCb5sun92BFJYlqRB2ubDl5l6bIpmF7kxYxiLyYXuGFXs0nZEx0+Uhq5Kf0jGVASEY0EIQRqCtyoKXDj/Lll2NMTw4dNPfhwTxAtodRiRrtmfZKuttCNXXus7R5xaAp6LbZl8TltaIa1PoyuLBYMlhe4ENyTeWK6N6bj6GlFeGuLtTZBA/W/FgJYUJ2PU/btyK4p4iQkjV6MIYmIxhbF6YZj1jFwzDoGZjwKvX4zEjvXQ2/cBhg6bLVz0f3aG5bHl6q1XtGpe3NZPleoFuPALObpZBYzmIZh/dzwts0oOX4JohtWH/S84vHDOfMouGYuhGPKLAjN+o57osOJ8SNRepjUpjFBcTjhnL0YztmLIZMJxHdthPD4YK59xfKYwuawPKEJzQ7og6/8G/rCApCZX1mIVGLbyj2rWWTEFUjYVIGkkfmVY7qJOSVerG0KIs9lw8xiL2YUeVAZcHE3DRERER1WQghU5rlQmefCJ+eUYW8whu3tYbSH4lAEYKFlM6YVefDBNmvlHyvzXVjfbS0x7XVZn3yzWn4cAEr8TmyxmMSfVGC9slFdawjTy3yoaw/juKmFOGVOKU6aVYJCr/UJYSIiIqJ0KA4X7NMXwT59EWQyjmT9FsDlh/H889YGFAJ6xOIcIgBYTUwDEKrFndrC+iJQqVtvYRPvDEJoGqSeeYWi+J4G2GuuQXTDamiFpXDOXADnrIWwV06GENxMQ0Q0XjCpTWOOsNnhnLEQACArpkCGu2G2NcBoa4TZ3gAZ7hl+DE8eoFtsTAikAkqrdc8tJrVTpwpIS+dKy5O3CUOi0G3H3t7M/n/ZVQVFbhsq/E7csLQGxR47RBZl0ImOBGmauVklabGHKhER5U6Z34kyf6rX3lmzS7G5pRfrm4NY3xTE5tbetBbwFWaRXC4POLHe4rk+p/WPbdkktfM81stHWrlnRQAzK/yYVOjGdadORVnAmdVOc6IjhTEkEdH4IGwO2KceBQCY/D+/RbKlCdHtGxHdtgnRbRuhdw1fktxRWYvgnibL9yAN6+8FwuKOa6EoUL0eGKFwxucmI7FUT24L72HRhkYUzJ6OyNZNGZ2n+QNwz5wDrbwaJf/2A9iKyjK+NtGRxviRKD2cIaAxTQgB4c2H4s2HNjkVZJqRIMz2xr5Et+ztv5tGKa6EjPZmc2Hr52ZRhkcRAqbFhLhDUxFNZv7GqJsSBS7bsEltv0NDoduOIo8dhW47fA6VSWwiIiIalVw2FYsq87CoMg8AkNBNbG0LYX1TEOubg9i4N4jYALtM1CziuKIRThDvl01S25vFdQ3DhKYI6EOsqvQ5NSyozcfC2gIsqs3H/Jp8eAYoPU5ERER0pAkhYC+bBHvZJARO+AQAINnRiui2fUnu7RuRbO3fJtE5dTb2rnra0jUVlwtGxFqlHyCVnLZ6ns3rRdRCUlsPBuGsKEescU/G58b2NMF9wWlDJ7WFgLOyBp6Zc+CeORuemXNgLy3nHCQR0QTBGQMadxS3H0r1HKB6DgBAxsIw2hthtjXCaG+A7G6FUjQJaN1l7QJOD5BNb4psSoErsNTK25SpPo5WktpAKmF9IFUIFLhtfQnsQrcdDo2lfGj8kWaO+tnkYAwiIjp87JqCeeV+zCv3AwB0w8TOjjDW7Utyb2gOIs9tR2uGlWsO5MsiWetzZlF+PIvrOm3WE+INHRHMrgxgXX1333PVRR4smvxxEntqqY8taWhcYgxJRDQx2ApLYCssgf+4UwAAek8XottTu7ij2zcisacetopqGL3WNta4qqsRbu6ydm+BgKXzAACKgC3Pj6iFHebJ7iDy5y+2lNSWug5bcfnBt+J0wT19ZiqJPWMOPNNnQvV4Mx6baLRj/EiUHia1adwTTg+0yplA5UwAgEzEIKUB6XSndmtHeiFjvYCRXj1x4fIBhsU3B0VDNlntbFYd2i2WHAIAj11DVcCJQo8dRW478lw2KFwBSRNAqvRP9mV7WPqHiGhs0VQFM0p8mFHiw8ULJ8GUEl2RJLa39EJTBHZ3hLG7PYzm7lja/QazSRB7s0hqu7Mo351NvNfaE8P5S6pwzNRCHD25AAtq8lHoY09smhgYQxIRTUxaIB++xcvhW7wcAGCEeqHHYqi+4SZE63YjUleHaH0dzGh6u6/dNbXoWv+apXuxF+bDtNKHEPt2agf8ls5N9gThqqq0dC4UBYongLwTToFnxhx4Zs2Bs6rWcm9worGE8SNRepjUpglH2J2ptHL59L7npJRAMgYZ7U0luvf9KaO9gJ44+HynDzAtNtRWNSDtqc/+splYtKtDn6spAg5NgUNT4dz3p0NTYNcUKEJgmafA8rWJiIiIxjJFCBR67CicUoilUwr7no8lDdR1RLC7PZXk3tUexu6OMBo7ozAOaBmjZrkb2ZNFGXC3w/okYDihozTPiZbu2ICv2zUFtcVe1JZ4UFvi/fir2IsCr51lIImIiGhCU70+qF4fJl15Vd9zUkok2toQrduNaF0dIgf8eeiObmdVNZLd3ZaubcvPR7wzZO3GhQJbnsWd3qYJR0nJkIfYi4vgrq6Gq7oK7pp9f1ZXwzmpAorNhqKTT7Z2bSIiGveY1CbCvh3QdheE3QUEDg68ZDJ+ULIb/iIgFgQgMk9uK9n9k8smqW1TFSgCcO5LVjv6/kw9znaylWg8ktLMTekfyVWSRETjkdOmYmaZDzPLfAc9nzRMNHRG+hLd4bgBp01FRb4LXeEEoonM3lu8WSSm3VmUH+8JJzG11AeHpu5LWHtQW+zF5H3J67I8F8uHEw2AMSQREQ1GCAFHSQkcJSXIW3Js3/NSSiS7uhCtr0vt6t5dB++MWXDX1iLR2YlkVzcg098oYy8sQKwjaPEeYXmnNpBKqGt+H1zV1XBXV6X+rEn96aqqhOZ2Wx6baLxi/EiUHia1iYYhbA4ImyOVzO5TCmDfDm/TSCW3DR0wDUhD7/temqnnsO85oWrZbNTGgXOGQqSS3Pu/DvpeEf1eVwQwvzzAHTNEREREh5lNVTCl2IspxQf3+7tqeS0AIJow0BVOoDMcR2co0fe4K5zo+75r32ud4QQ8jix6attVCJGaA3XZVQTcdgTcNgQ8duS5banvPann8tx2BDyp5/LcdhT5HSj0ORg/EhERER1mQgjYCwpgLyhAYOGivueX/+VJAIA0DCR7gkh0dCLR1ZX6s7MLyc59j7u69z3XiWRnN+wF+YC5y9rNKAfs1N732J7nhy0QgC0vANuhj/MCsAVSz9nz/HBWVqD8gk9m+7+EiIioHya1ibIghEiVFFc1YN9c41BTflJK9J+SlAf9MciZAACbUOC22yBEdv21iSg90jRys0oyB2McDu+++y5+97vfYcWKFWhsbEQ0GkVBQQHmzZuH8847D9dffz28Xu/wAx0hnZ2duPvuu/Hcc89h69atSCQSqKiowLJly3DDDTfg5CxKlm3YsAELFy6EruupBUxERDnksqtw2V2oyHcNe6yUErph4hNHlUNKCVMCpikh971mSgnTRN9rEhJy3zGmlMj3OnDWggr4XTbYs+jrTUTpG88xJOPHwTF+JKLDSagq7AX5qWR1GqSUMGMxSGNfn15TpnZwSrmvd68ETDP1nCn3bdxJPS8UAVt+Hqb86+egeT0QinKY/+uIaDzHjwBjyKEwhsyMkPy/RERE1KexsRFVVVUAAOcxn4fi8A1zxvDMeC9iq38HAGhoaEBlZWXWY2YjHA7jC1/4Ah599NEhjystLcXjjz+OU089dYTuLH0rVqzAJZdcgpaWlkGPueGGG3D33XfDZstsh2MkEsHy5cvx4YcfAgADSiIiIhrWeI8hGT8OjfEjERERZWq8x48AY8jhMIbMHHdqExERTSCGYeDiiy/GSy+91PfcqaeeiuXLl8PtdmPnzp3485//jI6ODrS0tODss8/GK6+8ghNPPPEI3vXB1q9fj7PPPhvhcBgAMGPGDFxwwQXw+XxYvXo1XnjhBRiGgd/+9rcAgPvuuy/tsWOxGC6++OK+YJKIiIhoomP8ODTGj0RERET9MYYcGmNIa7hTm4iI6AAHrZJc9C8QjuxL38h4CLE1DwI48qsk7733Xtx8880AgIKCAjz99NP9SuSEQiFcd911ePrppwEANTU12LJlCxwOx4jf76GklFiyZAnef/99AMBNN92Eu+66C5r28Tq9N998E+effz56enoAAC+++CLOOuusYcdubm7GZZddhhUrVvS7JhEREdFQxnMMyfhxcIwfiYiIyKrxHD8CjCGHwhjSOjbEICIiGoSURl9Pm6y+5OjpZ3PHHXf0PX7ooYcG7Pni9Xrx+OOPY968eQCAuro6/PGPfxyxexzKc8891xdMHnXUUbjnnnsOCiYB4MQTT8SDDz7Y9/33vve9Ycf9+9//jkWLFvULJomIiIgyNd5iSMaPA2P8SERERLky3uJHgDHkYBhDZodJbSIiogliw4YN2LFjB4BUuZzzzz9/0GPtdjtuuummvu//8Y9/HPb7S8dDDz3U9/jf//3foSgDhzKf/vSnsWDBAgDAu+++i61btw543JYtW/CpT30KZ555Zl9vnKVLl6KoqCi3N05EREQ0BjF+7I/xIxEREdHQGEP2xxgyN5jUJiIiGkROVkju+xoN1q9f3/d4yZIlwx4/ZcqUvsdNTU2DHielxFNPPYXLLrsMNTU1cLlcyMvLw/z58/HVr34Vmzdvzu7G99F1Ha+++ioAQFGUYcv5nHPOOX2Pn3nmmQGPuemmm/Dcc88BAIQQ+NKXvoTXXnsNHo8nJ/dMREREE894iiEZP/bH+JGIiIhybTzFjwBjyIEwhswNbfhDiIiIaDy4+OKLUV9fj6amJrjd7mGPPzCI9HoH7utTV1eHSy+9FO+9995Bz8diMfT09GD9+vW488478a1vfQu33XYbhBCW73/btm3o7e0FAEyfPh2FhYVDHn/cccf1PV61atWQxy5duhQ///nPsXz5csv3R0RERDTeMH4cHONHIiIiooExhhwcY8jsMKlNREQ0CGmaQA5WOErTzMHdZE/TNFRVVaGqqiqt4w9cWTh37tx+r+/atQvLly/H3r17AQAFBQW44IILMG3aNESjUaxatQqvvvoqDMPAj370I+zduxcPPPCA5fvftm1b3+PJkycPe3x1dXXf48FK/5x44on4+te/PmQZJCIiIqJMjKcYkvFjf4wfiYiIKNfGU/wIMIYcCGPI3GBSm4iIaBBmohciFwGlHul73NzcPOzxlZWVWV8zWytWrMALL7zQ9/1FF1100OuGYeDyyy/vCyavvvpq/PrXv+63mnLVqlW46KKL0NTUhAcffBAnn3wyrrvuOkv3dOD/u3T+H02aNKnv8f5eNYe69dZbLd0LERER0WAmagzJ+JGIiIjImokaPwKMISkzTGoTERENwtj615yPeeyxxw57jJQy59fNRHt7Oz7zmc/0fX/BBRdgwYIFBx3zpz/9qa/cz5lnnomHH34YiqL0G2vp0qV46qmncPzxx0NKiR/84Ae45pproKpqxvfV09PT9zid0kUul2vAc4mIiIgOp4kYQzJ+JCIiIrJuIsaPAGNIylz/v3kiIiKasHp7e3H++edj165dAIC8vDz84he/6Hfc/fff3/f4O9/5zoDB5H7Lli3D6aefDiBVLuitt96ydG/xeLzv8YHB4mAOPCaZTB7xQJ2IiIhoPGL8SERERESZYgxJVnCnNhER0QHKysrQ0NBwWMZubm5GcXExNG10vv12d3fjk5/8JFauXAkAUBQFjzzySL/eMbqu4+233+77fvHixcOOffzxx+OVV14BkCordNJJJ2V8fweurBRCZHy+lXOIiIiI0jFRY0jGj0RERETWTNT4EWAMSdaNzp9oIiKiI0TTtMPWT2Y09KkZTFNTE84++2ysW7cOQCqYvP/++3Heeef1O7aurg7hcLjv+0N72Aynrq7O0j0eeJ1YLDbs8dFotO+xw+GwdE0iIiKidEzEGJLxIxEREZF1EzF+BBhDUnaY1CYiIhrDfvaznw17zDe+8Y0hX1+zZg3OP/987NmzB0AqqH7ggQdw7bXXDnh8Z2dn5jd6gK6urr7Hv/3tb4ftNXPjjTfC7/cfFFBGIpFhr3NgQBkIBCzcKREREdH4w/hxcIwfiYiIiAbGGHJwjCFHDpPaREREY9g3v/nNYY8ZKqB87rnncNVVV/WtenS73XjiiScGXB25n67rfY8rKirw1a9+NYM7BqZPn973+Lbbbht21eQll1wCv9+P8vLyvueampqGvc7+ABlIlXQiIiIiIsaPQ2H8SERERDQwxpCDYww5cpjUJiIimqDuuusu3HLLLTBNEwBQXFyMv/zlL1i6dOmQ5+Xn5/c9llIOuwozV+bOndv3ePfu3cMef2CgOmPGjMNxS0REREQTCuNHIiIiIsoUY0jKFeVI3wARERFZJ6Uc9msgt99+O770pS/1BZMzZszAO++8M2wwCQDV1dXQtNS6uObmZjQ2Ng57Tm9vL+LxeL/nd+/ePez919bW9l03Ly8PALB582b09vYOec2VK1f2PT766KOHvUciIiKiiYDx4+AYPxIRERENjDHk4BhDjhwmtYmIiCaYX/3qV/jOd77T9/1xxx2Ht99+G1OnTk3rfLfbjcWLF/d9/4c//GHYc6699lq4XC5UVlbigQceyPym99lfkkjXdbz88stDHvvCCy/0PT7zzDMtX5OIiIhoomP8SERERESZYgxJucakNhER0QTy1ltv4Wtf+1rf92eccQZeffVVFBYWZjTOdddd1/f4Jz/5yUG9Yw719ttv47nnnoOUEk1NTTj22GMzv/F9rrjiir7Ht912G5LJ5IDHPfXUU1i3bh0AYN68eQcFwERERESUPsaPRERERJQpxpB0ODCpTURENEEkEglcc801MAwDADBr1iw888wzcLvdGY/12c9+tm9VZUdHB8444wxs2rSp33GrV6/GpZde2leC6JJLLsG8efMs/zece+65WLZsGQBgzZo1uO666xCLxQ465s0338TnP//5vu+///3vW74eERER0UTG+JGIiIiIMsUYkg4XIQcrdE9ERETjym9+8xt84Qtf6Pv+85//PGbNmpXWuVVVVbj88ssPem7NmjU4+eST+/rKaJqGc889F0cffTTi8TjWrFmDl156qS+YrK2txXvvvYeioqKs/jvWrVuH5cuXIxQK9d3bJZdcgvz8fKxevRrPP/98X9B89dVX49FHH834GrW1tairqwOAQXsCEREREY13jB/Tx/iRiIiIKIUxZPoYQ2aGSW0iIqIJYtmyZVi5cqWlc08++WS89tpr/Z5fv349LrvssgFXSB567SeffBKVlZWWrn+oN998E5deeilaWloGPeaaa67BAw88AJvNlvH4DCiJiIiIGD9mgvEjERERUQpjyPQxhswMk9pEREQThNfrRTgctnTuYAElABiGgSeffBJPP/003nvvPbS2tsI0TZSWlmLJkiW46qqrcOGFF0JRctv1pLu7G3fddReeffZZbN++HeFwGMXFxVi2bBluvPFGnHnmmZbHZkBJRERExPgxE4wfiYiIiFIYQ6aPMWRmmNQmIiIiIiIiIiIiIiIiIqJRK7fLFYiIiIiIiIiIiIiIiIiIiHKISW0iIiIiIiIiIiIiIiIiIhq1mNQmIiIiIiIiIiIiIiIiIqJRi0ltIiIiIiIiIiIiIiIiIiIatZjUJiIiIiIiIiIiIiIiIiKiUYtJbSIiIiIiIiIiIiIiIiIiGrWY1CYiIiIiIiIiIiIiIiIiolGLSW0iIiIiIiIiIiIiIiIiIhq1mNQmIiIiIiIiIiIiIiIiIqJRi0ltIiIiIiIiIiIiIiIiIiIatZjUJiIiIiIiIiIiIiIiIiKiUYtJbSIiIiIiIiIiIiIiIiIiGrWY1CYiIiIiIiIiIiIiIiIiolGLSW0iIiIiIiIiIiIiIiIiIhq1mNQmIiIiIiIiIiIiIiIiIqJRi0ltIiIiIiIiIiIiIiIiIiIatZjUJiIiIiIiIiIiIiIiIiKiUYtJbSIiIiIiIiIiIiIiIiIiGrWY1CYiIiIiIiIiIiIiIiIiolGLSW0iIiIiIiIiIiIiIiIiIhq1mNQmIiIiIiIiIiIiIiIiIqJRi0ltIiIiIiIiIiIiIiIiIiIatZjUJiIiIiIiIiIiIiIiIiKiUYtJbSIiIiIiIiIiIiIiIiIiGrWY1CYiIiIiIiIiIiIiIiIiolHr/wP8ko6ZulcjVAAAAABJRU5ErkJggg==", + "text/plain": [ + "
" ] }, - "metadata": {}, + "metadata": { + "image/png": { + "height": 513, + "width": 986 + } + }, "output_type": "display_data" } ], "source": [ - "make_scikit_network(L_total_nH=200, C_total_fF=33, C_dot_fF=0.02, fmin=1e9, fmax=15e9, plot=True, return_all=False)" + "dx_um=25\n", + "total_length_mm=2\n", + "C_dot_fF = 4\n", + "L_total_nH= 200\n", + "C_total_fF= 33\n", + "\n", + "evecs_sorted, ev_sorted, dV = make_network(dx_um=dx_um, total_length_mm=total_length_mm, C_dot_fF=C_dot_fF, \n", + " L_total_nH=L_total_nH, C_total_fF=C_total_fF, plot=False, return_all=True)\n", + "\n", + "plot_mode_profile(evecs_sorted.T, ev_sorted, colorbar_label=r\"Charge eigenvector $q$ (x)\", clim=(-0.2, 0.2), savepath=None)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Scikit RF model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "In the cell below, we'll sweep $C_\\mathrm{dot}$ and show that the resulting behavior is similar to the EOM method." + "Here we'll construct a sci-kit RF network to verify the behavior observed in the numerical EOM approach from the previous section. This network also contains input and output capacitors to probe the resonance.\n", + "We'll use `plot_s_db` to extract the transmission from port 1 to port 2. " + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "def make_scikit_network(L_total_nH, C_total_fF, C_dot_fF, fmin=1e9, fmax=15e9, plot=True, return_all=False):\n", + " \"\"\"Make the periodic transmission line resonator with a break in scikit-rf\n", + "\n", + " Args:\n", + " L_total_nH (float): Total resonator inductance in nanohenries\n", + " C_total_fF (float): Total resonator capacitance in femtofarads\n", + " C_dot_fF (float): Dot capacitance in femtofarads\n", + " fmin (float, optional): lower range of the frequency axis. Defaults to 1e9.\n", + " fmax (float, optional): upper range of the frequency axis. Defaults to 15e9.\n", + " plot (bool, optional): plot the results. Defaults to True.\n", + " return_all (bool, optional): Defaults to False.\n", + "\n", + " Returns:\n", + " ArrayLike: S21 scattering parameters (10,000 points)\n", + " \"\"\"\n", + " Z_0 = 50\n", + " Z_res = np.sqrt(L_total_nH*1e-9 / (C_total_fF * 1e-15))\n", + " C_dot = C_dot_fF * 1e-15\n", + "\n", + " # The total length of the ring is 2 l1 + l2\n", + " l1 = 2e-3\n", + " l2 = 5e-3\n", + "\n", + " # The necessary frequency description\n", + " freq = rf.Frequency(start=fmin, stop=fmax, unit='Hz', npoints=10000)\n", + "\n", + " port1 = rf.Circuit.Port(freq, 'port1', z0=Z_0)\n", + " port2 = rf.Circuit.Port(freq, 'port2', z0=Z_0)\n", + " gnd = rf.Circuit.Ground(frequency=freq, name='ground')\n", + "\n", + " # piece of transmission line and series impedance\n", + " tline_media = cpw.CPW(freq, z0_override=Z_res, ep_r=11, rho=0)\n", + " trans_line_a = tline_media.line(l1, unit='m', name='trans_line_a')\n", + " trans_line_b1 = tline_media.line(l2, unit='m', name='trans_line_b1')\n", + " trans_line_c = tline_media.line(l1, unit='m', name='trans_line_c')\n", + "\n", + " C_c1 = tline_media.capacitor(2e-15, name='C_in')\n", + " C_c2 = tline_media.capacitor(2e-15, name='C_out')\n", + " C_dot = tline_media.capacitor(C_dot, name='Cdot')\n", + "\n", + " cnx = [[(port1, 0), (C_c1, 0)],\n", + " [(C_c1, 1), (trans_line_a, 0), (trans_line_b1, 0)],\n", + " [(trans_line_a, 1), (C_dot, 0)],\n", + " [(C_dot, 1), (trans_line_c, 1)], \n", + " [(trans_line_c, 0), (C_c2, 0), (trans_line_b1, 1)],\n", + " [(port2, 0), (C_c2, 1)]]\n", + "\n", + " cir = rf.Circuit(cnx)\n", + " ntw = cir.network\n", + "\n", + " if plot:\n", + " plt.figure(figsize=(5.,3.))\n", + " ntw.plot_s_db(m=0, n=0, lw=2, logx=False)\n", + " ntw.plot_s_db(m=1, n=0, lw=2, logx=False)\n", + "\n", + " if return_all:\n", + " # Return the element (0, 1) from the scattering matrix for the given frequencies\n", + " return ntw.s[np.logical_and(ntw.f >= fmin, ntw.f <= fmax), 0, 1]" ] }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 16, "metadata": {}, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "| | ⠁ 0/101 [0%] in 0s (~0s, 0.0/s) " - ] - }, + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 297, + "width": 457 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "make_scikit_network(L_total_nH=200, C_total_fF=33, C_dot_fF=4, fmin=1e9, fmax=15e9, plot=True, return_all=False)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In the cell below, we'll sweep $C_\\mathrm{dot}$ and show that the resulting behavior is similar to the EOM method. This sweep may take a few minutes, each time a new network has to be assembled." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "|████████████████████████████████████████| 101/101 [100%] in 32.2s (3.13/s) \n" + "|████████████████████████████████████████| 101/101 [100%] in 1:13.5 (1.37/s) \n" ] } ], @@ -8489,7 +2360,7 @@ }, { "cell_type": "code", - "execution_count": 55, + "execution_count": 18, "metadata": {}, "outputs": [ { @@ -8498,9 +2369,24 @@ "Text(0, 0.5, 'Frequency (GHz)')" ] }, - "execution_count": 55, + "execution_count": 18, "metadata": {}, "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 386, + "width": 616 + } + }, + "output_type": "display_data" } ], "source": [ @@ -8512,6 +2398,13 @@ "plt.ylabel(\"Frequency (GHz)\")" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Compare this plot with the plot \"Mode frequencies\" vs. \"Dot capacitance\". In both cases there are modes that are independent of the Dot capacitance, as well as mode frequencies that decrease with dot capacitance. Overall the agreement is quite good. " + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -8523,6 +2416,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ + "Instead of solving the equations of motion in the charge basis, we may also set up the equations in the flux basis. We get the following Hamiltonian:\n", + "\n", "\\begin{align}\n", " \\mathcal{H} = &\\frac{1}{D} \\left[ \\frac{1}{2}(C + C_\\mathrm{dot}) q_0^2 + \\frac{1}{2}(C + C_\\mathrm{dot})q_{-1}^2 + C_\\mathrm{dot} q_0 q_{-1} \\right] \\notag \\\\ \n", " & + \\frac{1}{2C} \\sum_{n=1}^N q_n^2 + \\frac{1}{2C} \\sum_{n=2}^N q_{-n}^2 \\\\\n", @@ -8568,13 +2463,13 @@ }, { "cell_type": "code", - "execution_count": 77, + "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "727db68d5afe4726b143730044d138d0", + "model_id": "481b9606a0744866af188d8e455c6984", "version_major": 2, "version_minor": 0 }, @@ -8587,8 +2482,8 @@ } ], "source": [ - "@widgets.interact(dx_um=(1, 100, 1), total_length_mm=(0.5, 10, 0.05), C_dot_fF=(0.0, 100, 0.1), L_total_nH=(1, 500, 1), C_total_fF=(1, 200, 1))\n", - "def update(dx_um=25, total_length_mm=2, C_dot_fF=0.1, L_total_nH=100, C_total_fF=33, save=False):\n", + "@widgets.interact(dx_um=(1, 100, 1), total_length_mm=(0.5, 10, 0.05), C_dot_fF=(0.01, 100, 0.1), L_total_nH=(1, 500, 1), C_total_fF=(1, 200, 1))\n", + "def update(dx_um=25, total_length_mm=2, C_dot_fF=4, L_total_nH=200, C_total_fF=33, save=False):\n", " dx = dx_um * 1e-6\n", " unit_cells = int(total_length_mm / (dx_um / 1e3))\n", "\n", @@ -8653,7 +2548,14 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## Coupling electrons to the resonator" + "We see that the eigenmodes predicted by this method are similar." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Coupling electrons to the resonator " ] }, { @@ -8697,7 +2599,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 21, "metadata": {}, "outputs": [], "source": [ @@ -8803,13 +2705,13 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": null, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "f60c2923cb31466c9420d24bb98b5e28", + "model_id": "5c331f75c50a439992082ecf74477b19", "version_major": 2, "version_minor": 0 }, @@ -8838,22 +2740,32 @@ " _ = diagonalize_this(**params, plot=True)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Hint: \n", + "- Try sweeping `f_e` up and down while observing the mode frequencies, can you see which mode frequency is the electron mode?\n", + "- Try turning off and on the coupling with the value `Ex`. `Ex` is the electric field at the location of the electron.\n", + "- Does the value of `C_dot_fF` affect the electron mode? " + ] + }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 4, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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" ] }, "metadata": { "image/png": { - "height": 285, - "width": 780 + "height": 284, + "width": 783 } }, "output_type": "display_data" @@ -8883,41 +2795,35 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "To study which resonator modes couple to the electron we sweep the electron frequency through each resonance. If the electron couples to a mode, there will be an avoided crossing. The size of the avoided crossing is $2g$." + "To study which resonator modes couple to the electron we sweep the electron frequency through each resonance. If the electron couples to a mode, there will be an avoided crossing. The size of the avoided crossing is $2g$.\n", + "The plots produced here can be compared with Fig. 2 of https://arxiv.org/pdf/2410.19592 " ] }, { "cell_type": "code", - "execution_count": 76, + "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "| | ⠁ 0/501 [0%] in 0s (~0s, 0.0/s) " - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "|████████████████████████████████████████| 501/501 [100%] in 5.3s (94.68/s) \n", - "For Ex = 0.25 V/µm, we simulate g = 37.7 MHz\n", - "|████████████████████████████████████████| 501/501 [100%] in 4.9s (104.76/s) \n", - "For Ex = 0.50 V/µm, we simulate g = 75.3 MHz\n" + "|████████████████████████████████████████| 2001/2001 [100%] in 52.7s (37.98/s) \n", + "For Ex = 0.20 V/µm, we simulate g = 8.8 MHz\n", + "|████████████████████████████████████████| 2001/2001 [100%] in 49.1s (40.77/s) \n", + "For Ex = 0.50 V/µm, we simulate g = 21.3 MHz\n" ] }, { "data": { - "image/png": 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", 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", 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" ] }, "metadata": { "image/png": { - "height": 234, + "height": 239, "width": 784 } }, @@ -8925,19 +2831,20 @@ } ], "source": [ - "electron_freqs = np.linspace(1e9, 20e9, 501)\n", + "electron_freqs = np.linspace(1e9, 20e9, 2001)\n", "\n", "max_modes = 6\n", "eigenfrequencies = np.zeros((len(electron_freqs), max_modes))\n", "fig, ax = plt.subplots(1, 3, figsize=(8., 2.5))\n", "\n", - "for Ex, color in zip([0.25e6, 0.50e6], ['gray', 'black']):\n", + "# This loops over two values of the electric field at the location of the electron. Larger Ex results in stronger coupling.\n", + "for Ex, color in zip([0.2e6, 0.50e6], ['gray', 'black']):\n", " \n", " params = {\"dx_um\" : 20, \n", " \"total_length_mm\" : 2, \n", " \"C_dot_fF\" : 0.02, \n", - " \"L_total_nH\" : np.pi*35, \n", - " \"C_total_fF\" : np.pi*20, \n", + " \"L_total_nH\" : np.pi*3.1, \n", + " \"C_total_fF\" : np.pi*250, \n", " \"omega_e\" : np.nan, \n", " \"alpha_a_prime\" : Ex, \n", " \"alpha_b_prime\" : -Ex}\n", @@ -8972,7 +2879,7 @@ " for k in range(3):\n", " ax[k].set_xlabel(\"Electron frequency (GHz)\")\n", " \n", - " zoom = 1e9\n", + " zoom = 0.5e9\n", " ax[k].set_xlim((bare_freqs[k] - zoom/2)/1e9, (bare_freqs[k] + zoom/2)/1e9)\n", " ax[k].set_ylim((bare_freqs[k] - zoom/2)/1e9, (bare_freqs[k] + zoom/2)/1e9)\n", " \n", @@ -8981,17 +2888,27 @@ " fig.tight_layout()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Note that the second mode does not show an avoided crossing. This is because the voltage oscillates in tandem, i.e. it is a common mode that should indeed not couple to electrons in the dot.\n", + "Let us now calculate what we would expect for the coupling to the differential mode. " + ] + }, { "cell_type": "code", - "execution_count": 72, + "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "The impedance is 1225 Ω and fundamental frequency is 6.497 GHz.\n", - "For Ex = 0.50 V/µm, we expect g/2π = 66.8 MHz\n" + "The impedance is 111 Ω and fundamental frequency is 5.717 GHz.\n", + "For Ex = 0.21 V/µm, we expect g/2π = 8.0 MHz\n", + "The impedance is 111 Ω and fundamental frequency is 5.717 GHz.\n", + "For Ex = 0.50 V/µm, we expect g/2π = 18.9 MHz\n" ] } ], @@ -9004,8 +2921,17 @@ "Z0_diff = np.sqrt(params['L_total_nH'] * 1e-9 / (1e-15 * params['C_total_fF']))\n", "f0_diff = 1/(2*params['total_length_mm'] * 1e-3) * 1 / np.sqrt(L_l * C_l / dx / dx)\n", "\n", - "print(f\"The impedance is {Z0_diff:.0f} Ω and fundamental frequency is {f0_diff/1e9:.3f} GHz.\")\n", - "print(f\"For Ex = {Ex/1e6:0.2f} V/µm, we expect g/2π = {1e-6 * np.sqrt(2) * 0.5 * q_e * Ex * np.sqrt(Z0_diff * 2 * np.pi * f0_diff / m_e) / (2 * np.pi) : .1f} MHz\")" + "for Ex in [0.212e6, 0.50e6]:\n", + " Ex_tilde = np.sqrt(2) * (0.5 * Ex -- 0.5 * Ex)\n", + " print(f\"The impedance is {Z0_diff:.0f} Ω and fundamental frequency is {f0_diff/1e9:.3f} GHz.\")\n", + " print(f\"For Ex = {Ex/1e6:0.2f} V/µm, we expect g/2π = {1e-6 * 0.5 * q_e * Ex_tilde * np.sqrt(Z0_diff * 2 * np.pi * f0_diff / m_e) / (2 * np.pi) : .1f} MHz\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "These values for the coupling are in reasonable agreement with the extracted values from the avoided crossing above." ] }, { @@ -9024,37 +2950,42 @@ }, { "cell_type": "code", - "execution_count": 62, + "execution_count": null, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "|████████████████████████████████████████| 21/21 [100%] in 1.9s (10.72/s) \n" + "|████████████████████████████████████████| 21/21 [100%] in 2.4s (8.64/s) \n" ] }, { "data": { + "image/png": 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", "text/plain": [ - "" + "
" ] }, - "execution_count": 62, - "metadata": {}, - "output_type": "execute_result" + "metadata": { + "image/png": { + "height": 222, + "width": 336 + } + }, + "output_type": "display_data" }, { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { - "height": 220, - "width": 345 + "height": 238, + "width": 317 } }, "output_type": "display_data" @@ -9068,13 +2999,13 @@ "\n", "fig = plt.figure(figsize=(3.2, 2))\n", "\n", - "Ex = 0.24e6\n", + "Ex = 0.212e6\n", "# The factor of pi comes from setting the following two equal: f0 = 1 / 2 pi sqrt(Ltotal Ctotal) = 1 / 2l sqrt(L_l C_l) \n", "params = {\"dx_um\" : 10, \n", " \"total_length_mm\" : 2, \n", - " \"C_dot_fF\" : 0, \n", - " \"L_total_nH\" : np.pi*35,#5.52, \n", - " \"C_total_fF\" : np.pi*20,#138, \n", + " \"C_dot_fF\" : 0.018, \n", + " \"L_total_nH\" : np.pi*3.1,#5.52, \n", + " \"C_total_fF\" : np.pi*250,#138, \n", " \"omega_e\" : np.nan, \n", " \"alpha_a_prime\" : Ex, \n", " \"alpha_b_prime\" : -Ex}\n", @@ -9098,7 +3029,6 @@ "\n", "# Calculation of the capacitance change from the dispersive shift of the differential mode.\n", "# The expression comes from a simple LC model, but if the resonance frequency shifts agree then this expression should be valid.\n", - "# TODO: still missing some factor of 2.\n", "total_capacitance = params['C_total_fF'] * 1e-15\n", "delta_c = (elementary_charge) ** 2 / (electron_mass * (2 * np.pi) ** 2 * (electron_freqs ** 2 - f0_diff ** 2)) * (np.sqrt(2) * (params['alpha_a_prime'] - params['alpha_b_prime'])) ** 2\n", "simple_lc_shift = -f0_diff * 0.5 * delta_c / total_capacitance\n", @@ -9109,20 +3039,27 @@ "# plt.ylim(-200, 1)\n", "plt.grid()\n", "plt.xlim(electron_freqs.min()/1e9, electron_freqs.max()/1e9)\n", - "plt.legend(loc=0, frameon=False, prop={\"size\" : 10})" + "plt.legend(loc=0, frameon=False, prop={\"size\" : 10})\n", + "\n", + "plt.figure(figsize=(3.2, 2))\n", + "plt.plot(electron_freqs/1e9, delta_c * 1e18)\n", + "plt.xlabel(\"Electron frequency (GHz)\")\n", + "plt.ylabel(\"Electron capacitance (aF)\")\n", + "plt.xlim(electron_freqs.min()/1e9, electron_freqs.max()/1e9)\n", + "plt.grid()" ] }, { "cell_type": "code", - "execution_count": 63, + "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "The impedance is 1323 Ω and fundamental frequency is 6.015 GHz.\n", - "For Ex = 0.24 V/µm, we expect g/2π = 32.1 MHz\n" + "The impedance is 111 Ω and fundamental frequency is 5.717 GHz.\n", + "For Ex = 0.21 V/µm, we expect g/2π = 8.0 MHz\n" ] } ], @@ -9139,32 +3076,11 @@ "print(f\"For Ex = {Ex/1e6:0.2f} V/µm, we expect g/2π = {1e-6 * np.sqrt(2) * 0.5 * q_e * Ex * np.sqrt(Z0_diff * 2 * np.pi * f0_diff / m_e) / (2 * np.pi) : .1f} MHz\")" ] }, - { - "cell_type": "code", - "execution_count": 32, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([5.76642394e+09, 1.15324926e+10, 1.72978490e+10, 2.30621398e+10,\n", - " 2.88250061e+10, 3.45860967e+10])" - ] - }, - "execution_count": 32, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "f_no_electrons" - ] - }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Verify the Lagrangian with `scqubits`" + "## Verify the Lagrangian with `scqubits` " ] }, { @@ -9180,7 +3096,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 31, "metadata": {}, "outputs": [ { @@ -9199,6 +3115,7 @@ } ], "source": [ + "# Make sure you install scqubits first.\n", "import scqubits as scq\n", "\n", "circuit = \"\"\"# dot\n", @@ -9208,6 +3125,7 @@ "num_unit_cells = 1\n", "\n", "# These are some arbitrary pre-factors that work out to unity in the lagrangian\n", + "# It'll make it easier to interpret the structure of the lagrangian.\n", "L = 2\n", "C = 0.0625\n", "\n", @@ -9236,7 +3154,7 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 32, "metadata": {}, "outputs": [ { @@ -9265,12 +3183,12 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 33, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", "text/latex": [ "$\\displaystyle - 1.0 \\left(φ_{1} - φ_{2}\\right)^{2} - 1.0 \\left(φ_{1} - φ_{3}\\right)^{2} + 0.5 C_{4} \\dot{φ_1}^{2} - 0.5 \\dot{φ_2} \\left(C_{2} \\dot{φ_3} - \\dot{φ_2} \\left(C_{1} + C_{2}\\right)\\right) - 0.5 \\dot{φ_3} \\left(C_{2} \\dot{φ_2} - \\dot{φ_3} \\left(C_{2} + C_{3}\\right)\\right)$" ], @@ -9282,7 +3200,7 @@ "\\dot{φ_2}⋅(C₁ + C₂)) - 0.5⋅\\dot{φ_3}⋅(C₂⋅\\dot{φ_2} - \\dot{φ_3}⋅(C₂ + C₃))" ] }, - "execution_count": 29, + "execution_count": 33, "metadata": {}, "output_type": "execute_result" } @@ -9294,11 +3212,18 @@ "x = dot.sym_lagrangian(vars_type='node', return_expr=True, print_latex=False)\n", "x.simplify()" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { "kernelspec": { - "display_name": "neon", + "display_name": "eonhe", "language": "python", "name": "python3" }, @@ -9312,7 +3237,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.11.7" + "version": "3.10.6" } }, "nbformat": 4, diff --git a/examples/98_electron_capacitance.ipynb b/examples/98_electron_capacitance.ipynb index 9021d9d..dce9e43 100644 --- a/examples/98_electron_capacitance.ipynb +++ b/examples/98_electron_capacitance.ipynb @@ -10,9 +10,9 @@ "output_type": "stream", "text": [ "quantum_electron 0.2.1\n", - "numpy 1.24.2\n", - "scipy 1.11.4\n", - "matplotlib 3.7.1\n" + "numpy 1.25.2\n", + "scipy 1.9.3\n", + "matplotlib 3.5.3\n" ] } ], @@ -30,9 +30,20 @@ "matplotlib.rcParams['font.size'] = 8\n", "matplotlib.rcParams['font.family'] = 'Arial'\n", "\n", + "save_opts = {\"bbox_inches\" : \"tight\", \n", + " \"transparent\" : True, \n", + " \"pad_inches\" : 0.05}\n", + "\n", "package_versions()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This Notebook calculates the eigenfrequencies and eigenvectors of electrons coupled to Symmetrically Coupled Resonators. Some of the figures in this notebook can also be found in the scientific paper https://arxiv.org/pdf/2410.19592." + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -150,7 +161,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Next, we may expand these eigenvalues small values of $\\omega_e / \\omega_0$ to arrive at the expression for the electron capacitance." + "Next, we may expand these eigenvalues small values of $\\omega_e / \\omega_0$ to arrive at the expression for the electron capacitance. For more information, see the Appendix of https://arxiv.org/pdf/2410.19592." ] }, { @@ -178,6 +189,13 @@ "omega0, omegae = sp.symbols('ω_0 ω_e', positive=True)\n" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Single electron" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -354,6 +372,128 @@ "list(evals.keys())[0].subs(C1, C).subs(C2, C).simplify()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Two electrons" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "For two electrons the matrix becomes a 4x4 matrix: 2 cavity and 2 electron coordinates." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle \\left[\\begin{matrix}\\frac{1}{L} & 0 & 0 & 0\\\\0 & \\frac{1}{L} & 0 & 0\\\\0 & 0 & \\frac{1}{m_{e}} & 0\\\\0 & 0 & 0 & \\frac{1}{m_{e}}\\end{matrix}\\right]$" + ], + "text/plain": [ + "Matrix([\n", + "[1/L, 0, 0, 0],\n", + "[ 0, 1/L, 0, 0],\n", + "[ 0, 0, 1/m_e, 0],\n", + "[ 0, 0, 0, 1/m_e]])" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "M = Matrix([[L, 0, 0, 0], \n", + " [0, L, 0, 0], \n", + " [0, 0, me, 0],\n", + " [0, 0, 0, me]])\n", + "\n", + "M.inv()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "For a harmonic potential, the electron separation can be expressed in terms of the trap curvature:\n", + "\n", + "$$\n", + " r_{12}^3 = \\frac{e^2}{2\\pi \\epsilon_0 m_e \\omega_\\mathrm{trap}^2}\n", + "$$\n", + "and therefore \n", + "$$\n", + " k_{12}^+ = \\frac{e^2}{4\\pi\\epsilon_0} \\frac{1}{r_{12}^3} = \\frac{m_e \\omega_\\mathrm{trap}^2}{2}\n", + "$$\n", + "In addition, for pure parabolic confinement, both electrons have the same frequency set by $\\omega_\\mathrm{trap}^2$." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle \\left[\\begin{matrix}\\frac{C_{2} + C_{dot}}{D} & \\frac{C_{dot}}{D} & \\frac{e α_{a}}{D} & \\frac{e α_{a}}{D}\\\\\\frac{C_{dot}}{D} & \\frac{C_{1} + C_{dot}}{D} & \\frac{e α_{b}}{D} & \\frac{e α_{b}}{D}\\\\\\frac{e α_{a}}{D} & \\frac{e α_{b}}{D} & 1.5 m_{e} ω_{e}^{2} & - 0.5 m_{e} ω_{e}^{2}\\\\\\frac{e α_{a}}{D} & \\frac{e α_{b}}{D} & - 0.5 m_{e} ω_{e}^{2} & 1.5 m_{e} ω_{e}^{2}\\end{matrix}\\right]$" + ], + "text/plain": [ + "Matrix([\n", + "[(C_2 + C_dot)/D, C_dot/D, e*α_a/D, e*α_a/D],\n", + "[ C_dot/D, (C_1 + C_dot)/D, e*α_b/D, e*α_b/D],\n", + "[ e*α_a/D, e*α_b/D, 1.5*m_e*ω_e**2, -0.5*m_e*ω_e**2],\n", + "[ e*α_a/D, e*α_b/D, -0.5*m_e*ω_e**2, 1.5*m_e*ω_e**2]])" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "K = Matrix([[(C2 + Cdot)/D, Cdot / D, e * alpha_a / D, e * alpha_a / D], \n", + " [Cdot / D, (C1 + Cdot) / D, e * alpha_b / D, e * alpha_b / D], \n", + " [e * alpha_a / D, e * alpha_b / D, 3/2 * me * omegae ** 2, -1/2 * me * omegae**2], \n", + " [e * alpha_a / D, e * alpha_b / D, -1/2 * me * omegae**2, 3/2 * me * omegae**2]])\n", + "\n", + "K" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle \\left[\\begin{matrix}\\frac{C_{2} + C_{dot}}{D L} & \\frac{C_{dot}}{D L} & \\frac{e α_{a}}{D L} & \\frac{e α_{a}}{D L}\\\\\\frac{C_{dot}}{D L} & \\frac{C_{1} + C_{dot}}{D L} & \\frac{e α_{b}}{D L} & \\frac{e α_{b}}{D L}\\\\\\frac{e α_{a}}{D m_{e}} & \\frac{e α_{b}}{D m_{e}} & 1.5 ω_{e}^{2} & - 0.5 ω_{e}^{2}\\\\\\frac{e α_{a}}{D m_{e}} & \\frac{e α_{b}}{D m_{e}} & - 0.5 ω_{e}^{2} & 1.5 ω_{e}^{2}\\end{matrix}\\right]$" + ], + "text/plain": [ + "Matrix([\n", + "[(C_2 + C_dot)/(D*L), C_dot/(D*L), e*α_a/(D*L), e*α_a/(D*L)],\n", + "[ C_dot/(D*L), (C_1 + C_dot)/(D*L), e*α_b/(D*L), e*α_b/(D*L)],\n", + "[ e*α_a/(D*m_e), e*α_b/(D*m_e), 1.5*ω_e**2, -0.5*ω_e**2],\n", + "[ e*α_a/(D*m_e), e*α_b/(D*m_e), -0.5*ω_e**2, 1.5*ω_e**2]])" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "MinvK = M.inv() * K\n", + "MinvK" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -370,7 +510,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 17, "metadata": {}, "outputs": [], "source": [ @@ -386,7 +526,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 18, "metadata": {}, "outputs": [ { @@ -398,7 +538,7 @@ "1/(L*(C + 2*C_dot))" ] }, - "execution_count": 15, + "execution_count": 18, "metadata": {}, "output_type": "execute_result" } @@ -416,7 +556,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 19, "metadata": {}, "outputs": [ { @@ -428,7 +568,7 @@ "1/(C*L)" ] }, - "execution_count": 16, + "execution_count": 19, "metadata": {}, "output_type": "execute_result" } @@ -437,6 +577,75 @@ "list(evals.keys())[1].subs(C1, C).subs(C2, C).subs(D, C**2 + 2*C*Cdot).simplify()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### With an inductive tail to ground" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "When adding an inductive tail, one can also split the common and differential mode frequencies. Using the $Y-\\Delta$ transform the circuit can be transformed to the same circuit but with an extra inductive shunt $L_c$. In addition, $L_a$ and $L_b$ are linear combinations of physical inductors $L_1, L_2$ and $L_g$" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle \\frac{C L + C L_{g} + C_{dot} L + \\sqrt{C^{2} L_{g}^{2} - 2 C C_{dot} L L_{g} + C_{dot}^{2} L^{2}}}{C L \\left(C + 2 C_{dot}\\right) \\left(L + 2 L_{g}\\right)}$" + ], + "text/plain": [ + "(C*L + C*L_g + C_dot*L + sqrt(C**2*L_g**2 - 2*C*C_dot*L*L_g + C_dot**2*L**2))/(C*L*(C + 2*C_dot)*(L + 2*L_g))" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "La, Lb, Lc, Lg= sp.symbols('L_a L_b L_c L_g', real=True, positive=True)\n", + "\n", + "Cinv = Matrix([[(C2 + Cdot)/D, Cdot / D], \n", + " [Cdot / D, (C1 + Cdot) / D]])\n", + "\n", + "Linv = Matrix([[1/Lb + 1/Lc, -1/Lc], \n", + " [-1/Lc, 1/La + 1/Lc]])\n", + "\n", + "evals_tail = (Cinv*Linv).eigenvals()\n", + "list(evals_tail.keys())[1].subs(La, L+2*Lg).subs(Lb, L + 2*Lg).subs(Lc, L*(2 + L/Lg)).subs(C1, C).subs(C2, C).subs(D, C**2 + 2*C*Cdot).simplify()" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle \\frac{C L + C L_{g} + C_{dot} L - \\sqrt{C^{2} L_{g}^{2} - 2 C C_{dot} L L_{g} + C_{dot}^{2} L^{2}}}{C L \\left(C + 2 C_{dot}\\right) \\left(L + 2 L_{g}\\right)}$" + ], + "text/plain": [ + "(C*L + C*L_g + C_dot*L - sqrt(C**2*L_g**2 - 2*C*C_dot*L*L_g + C_dot**2*L**2))/(C*L*(C + 2*C_dot)*(L + 2*L_g))" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "list(evals_tail.keys())[0].subs(La, L+2*Lg).subs(Lb, L + 2*Lg).subs(Lc, L*(2 + L/Lg)).subs(C1, C).subs(C2, C).subs(D, C**2 + 2*C*Cdot).simplify()" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -454,11 +663,34 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 49, "metadata": {}, "outputs": [], "source": [ - "def diagonalize_this(c, cdot, l, omega_e, alpha_plus_prime, alpha_minus_prime):\n", + "def resonator_with_tail(L, Ltail, Ca, Cb, Cs):\n", + " \"\"\"\n", + " This is only valid if the tail inductance is non-zero\n", + " This method is prefered over the analytical expression, because if the tail is non-zero and the \n", + " capacitances are asymmetric, the expression becomes very lengthy. Diagonalizing the hamiltonian numerically\n", + " is slightly better. The matrices Cinv and Linv are in the node flux basis.\n", + " \"\"\"\n", + " L1 = L + 2*Ltail\n", + " L2 = L1\n", + " L3 = L * (L + 2 * Ltail) / Ltail\n", + "\n", + " D = Ca * Cb + Cs * Ca + Cb * Cs\n", + "\n", + " Cinv = np.array([[(Cb + Cs) / D, Cs / D], \n", + " [Cs / D, (Ca + Cs) / D]])\n", + " \n", + " Linv = np.array([[1 / L2 + 1 / L3, -1/L3],\n", + " [-1/L3, 1/L1 + 1/L3]])\n", + "\n", + " evals, evecs = np.linalg.eig(Linv @ Cinv)\n", + " \n", + " return np.sqrt(np.real(evals)) / (2 * np.pi), evecs\n", + "\n", + "def single_e_system(c, cdot, l, omega_trap, alpha_plus_prime, alpha_minus_prime):\n", " c1 = c\n", " c2 = c\n", " d = c1 * c2 + cdot * c1 + c2 * cdot\n", @@ -468,32 +700,107 @@ " \n", " minvk = np.array([[(c2 + cdot) / (d * l), cdot / (d * l), elementary_charge * alpha_a / (d * l)], \n", " [cdot / (d * l), (c1 + cdot) / (d * l), elementary_charge * alpha_b / (d * l)], \n", - " [elementary_charge * alpha_a / (d * electron_mass), elementary_charge * alpha_b / (d * electron_mass), omega_e ** 2]])\n", + " [elementary_charge * alpha_a / (d * electron_mass), elementary_charge * alpha_b / (d * electron_mass), omega_trap ** 2]])\n", + " \n", + " evals, evecs = np.linalg.eig(minvk)\n", + " efreqs = np.sqrt(evals) / (2 * np.pi )\n", + " \n", + " return efreqs\n", + "\n", + "def single_e_with_tail(L, Ltail, Ca, Cb, Cs, omega_trap, alpha_a_prime, alpha_b_prime):\n", + " \"\"\"\n", + " This is only valid if the tail inductance is non-zero\n", + " This method is prefered over the analytical expression, because if the tail is non-zero and the \n", + " capacitances are asymmetric, the expression becomes very lengthy. Diagonalizing the hamiltonian numerically\n", + " is slightly better.\n", + " \"\"\"\n", + " L1 = L + 2*Ltail\n", + " L2 = L1\n", + " L3 = L * (L + 2 * Ltail) / Ltail\n", + "\n", + " D = Ca * Cb + Cs * Ca + Cb * Cs\n", + " beta_a = (Cb + Cs) / D * alpha_a_prime + Cs / D * alpha_b_prime\n", + " beta_b = (Ca + Cs) / D * alpha_b_prime + Cs / D * alpha_a_prime\n", + "\n", + " Cinv = np.array([[(Cb + Cs) / D, Cs / D, -elementary_charge * beta_a], \n", + " [Cs / D, (Ca + Cs) / D, -elementary_charge * beta_b], \n", + " [-elementary_charge * beta_a, -elementary_charge * beta_b, electron_mass * omega_trap ** 2]])\n", + " \n", + " Linv = np.array([[1 / L2 + 1 / L3, -1/L3, 0],\n", + " [-1/L3, 1/L1 + 1/L3, 0], \n", + " [0, 0, 1 / electron_mass]])\n", + "\n", + " evals, evecs = np.linalg.eig(Linv @ Cinv)\n", + " \n", + " return np.sqrt(np.real(evals)) / (2 * np.pi), evecs\n", + "\n", + "def double_e_system(c, cdot, l, omega_trap, alpha_plus_prime, alpha_minus_prime):\n", + " c1 = c\n", + " c2 = c\n", + " d = c1 * c2 + cdot * c1 + c2 * cdot\n", + "\n", + " alpha_a = (c2 + cdot) * alpha_plus_prime + cdot * alpha_minus_prime\n", + " alpha_b = (c1 + cdot) * alpha_minus_prime + cdot * alpha_plus_prime\n", + " \n", + " minvk = np.array([[(c2 + cdot) / (d * l), cdot / (d * l), elementary_charge * alpha_a / (d * l), -elementary_charge * alpha_a / (d * l)], \n", + " [cdot / (d * l), (c1 + cdot) / (d * l), elementary_charge * alpha_b / (d * l), -elementary_charge * alpha_b / (d * l)], \n", + " [-elementary_charge * alpha_a / (d * electron_mass), -elementary_charge * alpha_b / (d * electron_mass), 3/2*omega_trap ** 2, -1/2*omega_trap ** 2], \n", + " [-elementary_charge * alpha_a / (d * electron_mass), -elementary_charge * alpha_b / (d * electron_mass), -1/2*omega_trap ** 2, 3/2*omega_trap ** 2]])\n", " \n", " evals, evecs = np.linalg.eig(minvk)\n", " efreqs = np.sqrt(evals) / (2 * np.pi )\n", " \n", - " return efreqs" + " return efreqs\n", + "\n", + "def double_e_with_tail(L, Ltail, Ca, Cb, Cs, omega_trap, alpha_a_prime, alpha_b_prime):\n", + " \"\"\"\n", + " This is only valid if the tail inductance is non-zero\n", + " This method is prefered over the analytical expression, because if the tail is non-zero and the \n", + " capacitances are asymmetric, the expression becomes very lengthy. Diagonalizing the hamiltonian numerically\n", + " is slightly better.\n", + " \"\"\"\n", + " L1 = L + 2*Ltail\n", + " L2 = L1\n", + " L3 = L * (L + 2 * Ltail) / Ltail\n", + "\n", + " D = Ca * Cb + Cs * Ca + Cb * Cs\n", + " beta_a = (Cb + Cs) / D * alpha_a_prime + Cs / D * alpha_b_prime\n", + " beta_b = (Ca + Cs) / D * alpha_b_prime + Cs / D * alpha_a_prime\n", + "\n", + " Cinv = np.array([[(Cb + Cs) / D, Cs / D, -elementary_charge * beta_a, -elementary_charge * beta_a], \n", + " [Cs / D, (Ca + Cs) / D, -elementary_charge * beta_b, -elementary_charge * beta_b], \n", + " [-elementary_charge * beta_a, -elementary_charge * beta_b, 3/2*electron_mass*omega_trap ** 2, -1/2*electron_mass*omega_trap ** 2], \n", + " [-elementary_charge * beta_a, -elementary_charge * beta_b, -1/2*electron_mass*omega_trap ** 2, 3/2*electron_mass*omega_trap ** 2]])\n", + " \n", + " Linv = np.array([[1 / L2 + 1 / L3, -1/L3, 0, 0],\n", + " [-1/L3, 1/L1 + 1/L3, 0, 0], \n", + " [0, 0, 1 / electron_mass, 0], \n", + " [0, 0, 0, 1 / electron_mass]])\n", + "\n", + " evals, evecs = np.linalg.eig(Linv @ Cinv)\n", + " \n", + " return np.sqrt(np.real(evals)) / (2 * np.pi), evecs" ] }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/latex": [ - "$\\displaystyle \\left[\\begin{matrix}\\frac{C_{2} + C_{dot}}{D L} & \\frac{C_{dot}}{D L} & \\frac{e α_{a}}{D L}\\\\\\frac{C_{dot}}{D L} & \\frac{C_{1} + C_{dot}}{D L} & \\frac{e α_{b}}{D L}\\\\\\frac{e α_{a}}{D m_{e}} & \\frac{e α_{b}}{D m_{e}} & ω_{e}^{2}\\end{matrix}\\right]$" + "$\\displaystyle \\left[\\begin{matrix}\\frac{C_{2} + C_{dot}}{D L} & \\frac{C_{dot}}{D L} & \\frac{e α_{a}}{D L} & \\frac{e α_{a}}{D L}\\\\\\frac{C_{dot}}{D L} & \\frac{C_{1} + C_{dot}}{D L} & \\frac{e α_{b}}{D L} & \\frac{e α_{b}}{D L}\\\\\\frac{e α_{a}}{D m_{e}} & \\frac{e α_{b}}{D m_{e}} & 1.5 ω_{e}^{2} & - 0.5 ω_{e}^{2}\\\\\\frac{e α_{a}}{D m_{e}} & \\frac{e α_{b}}{D m_{e}} & - 0.5 ω_{e}^{2} & 1.5 ω_{e}^{2}\\end{matrix}\\right]$" ], "text/plain": [ "Matrix([\n", - "[(C_2 + C_dot)/(D*L), C_dot/(D*L), e*α_a/(D*L)],\n", - "[ C_dot/(D*L), (C_1 + C_dot)/(D*L), e*α_b/(D*L)],\n", - "[ e*α_a/(D*m_e), e*α_b/(D*m_e), ω_e**2]])" + "[(C_2 + C_dot)/(D*L), C_dot/(D*L), e*α_a/(D*L), e*α_a/(D*L)],\n", + "[ C_dot/(D*L), (C_1 + C_dot)/(D*L), e*α_b/(D*L), e*α_b/(D*L)],\n", + "[ e*α_a/(D*m_e), e*α_b/(D*m_e), 1.5*ω_e**2, -0.5*ω_e**2],\n", + "[ e*α_a/(D*m_e), e*α_b/(D*m_e), -0.5*ω_e**2, 1.5*ω_e**2]])" ] }, - "execution_count": 18, + "execution_count": 24, "metadata": {}, "output_type": "execute_result" } @@ -518,7 +825,7 @@ { "data": { "text/plain": [ - "array([2.00000008e+10, 5.75799708e+09, 5.95516860e+09])" + "array([2.00000110e+10, 5.68896750e+09, 5.76517539e+09])" ] }, "execution_count": 25, @@ -527,44 +834,38 @@ } ], "source": [ - "f0_diff = 5.758e9\n", - "Z0_diff = 180 #120\n", + "params = {\"Ca\" : 8.80e-15 + 1.27e-15,\n", + " \"Cb\" : 9.57e-15 + 0.45e-15,\n", + " \"Cs\" : 0.85e-15, \n", + " \"L\" : 64.9e-9,\n", + " \"Ltail\" : 6.5e-9, \n", + " \"omega_trap\" : 2 * np.pi * 20e9, \n", + " \"alpha_a_prime\" : 0.2e6, \n", + " \"alpha_b_prime\" : -0.2e6}\n", "\n", - "omega0 = 2 * np.pi * f0_diff\n", - "cdot = 0.05e-13\n", - "l = Z0_diff / omega0\n", - "c = 1 / (omega0 ** 2 * l) - 2 * cdot\n", - "assert c > 0, \"The calculated capacitance must be > 0\"\n", - "\n", - "params = {\"c\" : c,\n", - " \"cdot\" : cdot, \n", - " \"l\" : l, \n", - " \"omega_e\" : 2 * np.pi * 20e9, \n", - " \"alpha_plus_prime\" : 0.2e6, \n", - " \"alpha_minus_prime\" : -0.2e6}\n", - "\n", - "efreqs = diagonalize_this(**params)\n", + "# efreqs = single_e_system(**params)\n", + "efreqs, evecs = single_e_with_tail(**params)\n", "efreqs" ] }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "2082.3018438095446" + "2350.6925874512326" ] }, - "execution_count": 33, + "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "np.sqrt(params['l'] / (params['c'] + 2*params['cdot']))" + "np.sqrt(params['L'] / (0.5 * (params['Ca'] + params['Cb']) + 2 * params['Cs']))" ] }, { @@ -576,20 +877,20 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Common mode: 5.590 GHz, Differential mode: 5.206 GHz\n" + "Common mode: 5.690 GHz, Differential mode: 5.765 GHz\n" ] } ], "source": [ - "f_comm = np.sqrt(1 / (params['l'] * (params['c']))) / (2 * np.pi )\n", - "f_diff = np.sqrt(1 / (params['l'] * (params['c'] + 2 * params[\"cdot\"]))) / (2 * np.pi )\n", + "f_comm = np.sqrt(1 / ((params['L'] + 2*params['Ltail']) * 0.5 * (params['Ca'] + params['Cb']))) / (2 * np.pi )\n", + "f_diff = np.sqrt(1 / (params['L'] * (0.5 * (params['Ca'] + params['Cb']) + 2 * params['Cs']))) / (2 * np.pi )\n", "\n", "print(f\"Common mode: {f_comm/1e9:.3f} GHz, Differential mode: {f_diff/1e9:.3f} GHz\")" ] @@ -610,22 +911,21 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "2g = 25.40868760734844 MHz\n", - "2g = 101.63465477428723 MHz\n" + "2g/2π = 86.6889286530428 MHz\n" ] }, { "data": { - "image/png": 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", + "image/png": 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", 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" ] }, "metadata": {}, @@ -633,41 +933,51 @@ } ], "source": [ - "electron_freqs = np.linspace(5.5e9, 6.2e9, 5001)\n", + "electron_freqs = np.linspace(5.45e9, 6.1e9, 5001)\n", "\n", - "eigenfrequencies = np.zeros((len(electron_freqs), 3))\n", + "eigenfrequencies = np.zeros((len(electron_freqs), 2))\n", + "eigenvecs = np.zeros((len(electron_freqs), 3, 2))\n", + "common_mode = np.zeros(len(electron_freqs))\n", "\n", - "fig = plt.figure(figsize=(3.2, 2.))\n", + "fig = plt.figure(figsize=(2.2, 1.7))\n", "\n", - "for Ex, color in zip([0.25e6, 1e6], ['gray', 'black']):\n", - " f0_diff = 5.758e9\n", - " Z0_diff = 200\n", - "\n", - " omega0 = 2 * np.pi * f0_diff\n", - " cdot = 0.5e-14\n", - " l = Z0_diff / omega0\n", + "for Ex, alph in zip([0.25e6], [1.0]):\n", + " common_mode_idx = list()\n", " \n", - " params = {\"c\" : 1 / (omega0 ** 2 * l) - 2 * cdot,\n", - " \"cdot\" : cdot, \n", - " \"l\" : l, \n", - " \"omega_e\" : 2 * np.pi * 20e9, \n", - " \"alpha_plus_prime\" : Ex, \n", - " \"alpha_minus_prime\" : -Ex}\n", + " params = {\"Ca\" : 8.80e-15 + 1.27e-15,\n", + " \"Cb\" : 9.57e-15 + 0.45e-15,\n", + " \"Cs\" : 0.85e-15, \n", + " \"L\" : 64.9e-9,\n", + " \"Ltail\" : 6.5e-9, \n", + " \"omega_trap\" : 2 * np.pi * 20e9, \n", + " \"alpha_a_prime\" : Ex, \n", + " \"alpha_b_prime\" : -Ex}\n", "\n", " for k, f_e in enumerate(electron_freqs):\n", - " params[\"omega_e\"] = 2 * np.pi * f_e\n", - " efreqs = diagonalize_this(**params)\n", - "\n", - " eigenfrequencies[k] = np.sort(efreqs)\n", + " params[\"omega_trap\"] = 2 * np.pi * f_e\n", + " # efreqs = single_e_system(**params)\n", + " efreqs, evecs = single_e_with_tail(**params)\n", "\n", - " for k in range(3):\n", + " common_mode_idx = np.argmin(np.abs(efreqs - 5.690e9))\n", + " selection = np.delete(np.arange(3), common_mode_idx)\n", + " order = np.argsort(efreqs[selection])\n", + " eigenfrequencies[k] = np.sort(efreqs[selection])\n", + " \n", + " common_mode[k] = efreqs[common_mode_idx]\n", + " eigenvecs[k, ...] = evecs.T[selection][order].T\n", + " \n", + " # common_mode_idx.append(np.argmin(np.abs(efreqs - 5.69e9)))\n", + " \n", + " plt.plot(electron_freqs / 1e9, common_mode / 1e9, color='tab:purple')\n", + " \n", + " for k in range(2):\n", " label = \"\" if k == 0 else f\"Ex = {Ex/1e6}V/$\\mu$m\"\n", - " plt.plot(electron_freqs /1e9, eigenfrequencies[:, k] /1e9, color=color, label=label)\n", + " plt.plot(electron_freqs /1e9, eigenfrequencies[:, k] /1e9, color='tab:orange', alpha=alph, label=label)\n", "\n", " # Estimate 2 * g from the minimum distance.\n", - " print(\"2g = \", np.min(eigenfrequencies[:, 1] - eigenfrequencies[:, 0]) / 1e6, \"MHz\")\n", + " print(\"2g/2π = \", np.min(eigenfrequencies[:, 1] - eigenfrequencies[:, 0]) / 1e6, \"MHz\")\n", "\n", - " plt.xlabel(\"Electron frequency (GHz)\")\n", + " plt.xlabel(\"Dot curvature (GHz)\")\n", " plt.ylabel(\"Eigenfrequencies (GHz)\")\n", " plt.xlim(electron_freqs.min() / 1e9, electron_freqs.max() /1e9)\n", " # plt.legend(loc=0, frameon=False)" @@ -677,89 +987,117 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Indeed, we see that the common mode doesn't have an avoided crossing, whereas the differential mode has an avoided crossing that tunes with the value of `alpha_minus_prime`. \n", - "\n", - "We determined the apparent $g$ from the avoided crossing, but does this value of $g/2\\pi$ make sense? Let's calculate the expected value, which is given by \n", - "\n", - "$$\n", - " g = \\frac{1}{2} e E_x \\sqrt{\\frac{Z}{m_e \\omega_e}}\n", - "$$" + "In the plot above, we've identified the common mode, and further identified two branches that show an avoided crossing. These are partly electron-like and partly resonator. At the point where $f_e = f_d$ these modes are perfectly hybridized, and we'd like to show that in the color of the line. To start doing that look at the overlap of the upper and lower branch with the differential mode eigenvector `(1, -1, 0)`. Here, the first two indices are the cavity indices and the last index contains the electron index." ] }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 32, "metadata": {}, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "For Ex = 0.2 V/µm, we expect g/2π = 7.2 MHz\n", - "For Ex = 0.4 V/µm, we expect g/2π = 14.4 MHz\n" - ] + "data": { + "text/plain": [ + "Text(0, 0.5, 'Relative overlap with differential mode (a.u.)')" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "for Ex in [0.2e6, 0.4e6]:\n", - " print(f\"For Ex = {Ex/1e6:0.1f} V/µm, we expect g/2π = {1e-6 * 0.5 * elementary_charge * Ex * np.sqrt(Z0_diff * 2 * np.pi * f0_diff / electron_mass) / (2 * np.pi) : .1f} MHz\")" + "diff_mode_overlap_0 = [np.abs(np.dot(eigenvecs[k].T[0], np.array([1, -1, 0]))) for k in range(len(electron_freqs))]\n", + "diff_mode_overlap_1 = [np.abs(np.dot(eigenvecs[k].T[1], np.array([1, -1, 0]))) for k in range(len(electron_freqs))]\n", + "\n", + "plt.figure(figsize=(4., 3.))\n", + "plt.plot(electron_freqs/1e9, diff_mode_overlap_0, label=\"Upper branch\")\n", + "plt.plot(electron_freqs/1e9, diff_mode_overlap_1, label=\"Lower branch\")\n", + "plt.xlim(electron_freqs.min() / 1e9, electron_freqs.max() /1e9)\n", + "plt.xlabel(\"Eigenfrequencies (GHz)\")\n", + "plt.ylabel(\"Relative overlap with differential mode (a.u.)\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Electron counting in the dispersive regime" + "We see that these overlaps are not normalized. Since common and differential mode don't couple, we can normalize these two overlaps by looking at the relative overlap. " ] }, { "cell_type": "code", - "execution_count": 40, + "execution_count": 33, "metadata": {}, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "Common mode: 5.590 GHz, Differential mode: 5.206 GHz\n" - ] + "data": { + "text/plain": [ + "Text(0, 0.5, 'Normalized overlap with differential mode')" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "# Note, a factor of pi/2 accounts for the distributed nature of the capacitance to gnd, inductance and shunt capacitance.\n", - "params = {\"c\" : 2 * 20e-15 / np.pi,\n", - " \"cdot\" : 0.02e-15 + 3e-15 / np.pi, \n", - " \"l\" : 2 * 100e-9 / np.pi, \n", - " \"omega_e\" : 2 * np.pi * 20e9, \n", - " \"alpha_plus_prime\" : 0.2e6, \n", - " \"alpha_minus_prime\" : -0.2e6}\n", + "def normalize(arr):\n", + " return arr / np.sqrt(np.sum(arr)**2)\n", "\n", - "f0_comm = np.sqrt(1 / (params['l'] * (params['c']))) / (2 * np.pi )\n", - "f0_diff = np.sqrt(1 / (params['l'] * (params['c'] + 2 * params[\"cdot\"]))) / (2 * np.pi )\n", + "norm_diff_mode_cavity_participation = np.array([normalize(np.array([diff_mode_overlap_0[k], diff_mode_overlap_1[k]])) for k in range(len(electron_freqs))]).T\n", "\n", - "print(f\"Common mode: {f_comm/1e9:.3f} GHz, Differential mode: {f_diff/1e9:.3f} GHz\")" + "plt.figure(figsize=(4., 3.))\n", + "plt.plot(electron_freqs, norm_diff_mode_cavity_participation[0], label=\"Upper branch\")\n", + "plt.xlabel(\"Eigenfrequencies (GHz)\")\n", + "plt.ylabel(\"Normalized overlap with differential mode\")\n", + "plt.xlim(electron_freqs.min() / 1e9, electron_freqs.max() /1e9)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now re-make the same figure, but color the two branches according to their participation" ] }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 110, "metadata": {}, "outputs": [ { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 43, - "metadata": {}, - "output_type": "execute_result" + "name": "stdout", + "output_type": "stream", + "text": [ + "2g/2π = 86.6889286530428 MHz\n" + ] }, { "data": { - "image/png": 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", + "image/png": 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" ] }, "metadata": {}, @@ -767,64 +1105,170 @@ } ], "source": [ - "electron_freqs = np.linspace(10e9, 30e9, 5001)\n", + "from matplotlib.colors import LinearSegmentedColormap\n", + "colors = [matplotlib.colors.to_rgb('lightgray'), matplotlib.colors.to_rgb('tab:purple')] # R -> G -> B\n", + "cmap = LinearSegmentedColormap.from_list('gray_purple', colors, N=50)\n", "\n", - "eigenfrequencies = np.zeros((len(electron_freqs), 3))\n", + "color1 = norm_diff_mode_cavity_participation[0]\n", + "color2 = norm_diff_mode_cavity_participation[1]\n", "\n", - "# Sweep the electron frequency\n", - "for k, f_e in enumerate(electron_freqs):\n", - " params[\"omega_e\"] = 2 * np.pi * f_e\n", - " efreqs = diagonalize_this(**params)\n", + "fig = plt.figure(figsize=(2.2, 1.7))\n", "\n", - " eigenfrequencies[k] = np.sort(efreqs)\n", + "for k in range(len(electron_freqs)-1): \n", + " xpts = [electron_freqs[k] / 1e9, electron_freqs[k+1] / 1e9]\n", + " ypts_lower_branch = [eigenfrequencies[k, 0] / 1e9, eigenfrequencies[k+1, 0] / 1e9]\n", + " ypts_upper_branch = [eigenfrequencies[k, 1] / 1e9, eigenfrequencies[k+1, 1] / 1e9]\n", + " \n", + " plt.plot(xpts, ypts_lower_branch, '-', color=cmap(color1[k]), lw=1.5)\n", + " plt.plot(xpts, ypts_upper_branch, '-', color=cmap(color2[k]), lw=1.5)\n", + " \n", + "plt.plot(electron_freqs / 1e9, common_mode / 1e9, color='tab:orange')\n", + " \n", + "# Estimate 2 * g from the minimum distance.\n", + "print(\"2g/2π = \", np.min(eigenfrequencies[:, 1] - eigenfrequencies[:, 0]) / 1e6, \"MHz\")\n", "\n", - "fig = plt.figure(figsize=(3.2, 2))\n", + "plt.xlabel(\"Dot curvature (GHz)\")\n", + "plt.ylabel(\"Eigenfrequencies (GHz)\")\n", + "plt.xlim(electron_freqs.min() / 1e9, electron_freqs.max() /1e9)\n", "\n", - "# And from here we calculate the frequency shifts (measured from the bare values)\n", - "plt.plot(electron_freqs/1e9, 1e-3 * (eigenfrequencies[:, 0] - f0_diff), color='tab:blue', label='Differential mode', lw=2)\n", - "plt.plot(electron_freqs/1e9, 1e-3 * (eigenfrequencies[:, 1] - f0_comm), color='tab:red', label='Common mode', lw=2)\n", + "fig.savefig(r\"/Users/gerwinkoolstra/Downloads/fig2a.pdf\", bbox_inches='tight', pad_inches=0.05)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Indeed, we see that the common mode doesn't have an avoided crossing, whereas the differential mode has an avoided crossing that tunes with the value of `alpha_minus_prime`. \n", "\n", - "# Calculation of the capacitance change from the dispersive shift of the differential mode.\n", - "# The expression comes from a simple LC model, but if the resonance frequency shifts agree then this expression should be valid.\n", - "total_capacitance = params['c'] + 2 * params['cdot']\n", - "delta_c = 2 * (elementary_charge) ** 2 / (electron_mass * (2 * np.pi) ** 2 * (electron_freqs ** 2 - f0_diff ** 2)) * (0.5 * (params['alpha_plus_prime'] - params['alpha_minus_prime'])) ** 2\n", - "simple_lc_shift = -f0_diff * 0.5 * delta_c / total_capacitance\n", + "We determined the apparent $g$ from the avoided crossing, but does this value of $g/2\\pi$ make sense? For a simple LC circuit we found $g_\\mathrm{LC}$, which is given by \n", "\n", - "plt.plot(electron_freqs/1e9, 1e-3 * simple_lc_shift, '--', color='black', label=\"Simple LC circuit\")\n", + "$$\n", + " g_\\mathrm{LC} = \\frac{1}{2} e E_x \\sqrt{\\frac{Z}{m_e \\omega_e}}\n", + "$$\n", "\n", - "plt.xlabel(\"Dot curvature (GHz)\")\n", - "plt.ylabel(\"Frequency shift (kHz)\")\n", - "plt.xlim(electron_freqs.min()/1e9, electron_freqs.max()/1e9)\n", - "plt.legend(loc=0, frameon=False)" + "However, for coupling to the differential mode, the coupling is given by\n", + "\n", + "$$\n", + " g_\\mathrm{coupled} = \\frac{1}{2} e \\tilde{E_x} \\sqrt{\\frac{Z}{m_e \\omega_e}}, \n", + "$$\n", + "\n", + "where \n", + "\n", + "$$\n", + " \\tilde{E_x} = \\sqrt{2} \\left( \\frac{1}{2} \\frac{\\partial \\alpha_\\mathrm{res}^a}{\\partial x} - \\frac{1}{2} \\frac{\\partial \\alpha_\\mathrm{res}^b}{\\partial x} \\right)\n", + "$$\n", + "and therefore $g_\\mathrm{coupled} = \\sqrt{2} g_\\mathrm{LC}$. The $\\sqrt{2}$ enhancement of $g$ compared with the simple LC circuit comes from the enhancement in zero-point fluctuations." + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "For Ex = 0.25 V/µm, we expect 2g/2π = 87.2 MHz\n", + "For Ex = 1.00 V/µm, we expect 2g/2π = 348.6 MHz\n" + ] + } + ], + "source": [ + "for Ex in [0.25e6, 1e6]:\n", + " Ex_tilde = np.sqrt(2) * (Ex - -Ex) / 2\n", + " f0_diff = np.sqrt(1 / (params['L'] * (0.5 * (params['Ca'] + params['Cb']) + 2 * params['Cs']))) / (2 * np.pi)\n", + " Z0_diff = np.sqrt(params['L'] / (0.5 * (params['Ca'] + params['Cb']) + 2 * params['Cs']))\n", + " print(f\"For Ex = {Ex/1e6:0.2f} V/µm, we expect 2g/2π = {2 * 1e-6 * 0.5 * elementary_charge * Ex_tilde * np.sqrt(Z0_diff * 2 * np.pi * f0_diff / electron_mass) / (2 * np.pi) : .1f} MHz\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Effect of the dot capacitance" + "## Electron counting in the dispersive regime" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To count electrons, we don't have to be resonant with the resonator. Let us calculate the frequency shifts for one and two electrons in the dispersive regime." + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Common mode: 5.689 GHz, Differential mode: 5.765 GHz\n" + ] + } + ], + "source": [ + "Ex = 0.25e6\n", + "\n", + "params = {\"Ca\" : 8.80e-15 + 1.27e-15,\n", + " \"Cb\" : 9.57e-15 + 0.45e-15,\n", + " \"Cs\" : 0.85e-15, \n", + " \"L\" : 64.9e-9,\n", + " \"Ltail\" : 6.5e-9, \n", + " \"omega_trap\" : 2 * np.pi * 100e9, \n", + " \"alpha_a_prime\" : Ex, \n", + " \"alpha_b_prime\" : -Ex}\n", + "\n", + "# f0_comm = np.sqrt(1 / ((params['L'] + 2*params['Ltail']) * 0.5 * (params['Ca'] + params['Cb']))) / (2 * np.pi )\n", + "# f0_diff = np.sqrt(1 / (params['L'] * (0.5 * (params['Ca'] + params['Cb']) + 2 * params['Cs']))) / (2 * np.pi )\n", + "\n", + "efreqs = np.sort(single_e_with_tail(**params)[0])\n", + "f0_comm, f0_diff = efreqs[:2] \n", + "\n", + "print(f\"Common mode: {f0_comm/1e9:.3f} GHz, Differential mode: {f0_diff/1e9:.3f} GHz\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We compare the results of the diagonalization with the shift for a simple LC circuit.\n", + "\n", + "For $n=1$ this shift is given by $\\Delta f = g^2 / \\Delta$, where we have to take the appropriate $g = g_\\mathrm{coupled} = \\sqrt{2} g_\\mathrm{LC}$. Alternatively, we can rewrite this dispersive shift in a capacitance change as \n", + "\n", + "$$\n", + " \\delta C = \\frac{e^2}{m_e (\\omega_e^2 - \\omega_0^2)} \\tilde{E}_x^2\n", + "$$\n", + "where consistent with the previous section we have\n", + "$$\n", + " \\tilde{E_x} = \\sqrt{2} \\left( \\frac{1}{2} \\frac{\\partial \\alpha_\\mathrm{res}^a}{\\partial x} - \\frac{1}{2} \\frac{\\partial \\alpha_\\mathrm{res}^b}{\\partial x} \\right).\n", + "$$\n", + "\n", + "For two electrons in the dot, the frequency shift is twice as large." ] }, { "cell_type": "code", - "execution_count": 57, + "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "Text(0, 0.5, 'Frequency shift (MHz)')" ] }, - "execution_count": 57, + "execution_count": 42, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", 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" ] }, "metadata": {}, @@ -832,79 +1276,198 @@ } ], "source": [ - "# Note, a factor of pi/2 accounts for the distributed nature of the capacitance to gnd, inductance and shunt capacitance.\n", - "params = {\"c\" : 2 * 20e-15 / np.pi,\n", - " \"cdot\" : 0.0, \n", - " \"l\" : 2 * 100e-9 / np.pi, \n", - " \"omega_e\" : 2 * np.pi * 20e9, \n", - " \"alpha_plus_prime\" : 0.2e6, \n", - " \"alpha_minus_prime\" : -0.2e6}\n", + "trap_curvatures = np.linspace(10e9, 40e9, 5001)\n", "\n", - "Cshunt = np.logspace(-18, -14)\n", - "f0_comms = np.zeros(len(Cshunt))\n", - "f0_diffs = np.zeros(len(Cshunt))\n", + "# Mark here the order of the common mode and differential mode\n", + "diff_mode_idx = 1\n", + "comm_mode_idx = 0\n", "\n", - "for k, c_s in enumerate(Cshunt):\n", - " params['cdot'] = 2 * c_s / np.pi\n", - " f0_comms[k] = np.sqrt(1 / (params['l'] * (params['c']))) / (2 * np.pi )\n", - " f0_diffs[k] = np.sqrt(1 / (params['l'] * (params['c'] + 2 * params[\"cdot\"]))) / (2 * np.pi )\n", + "eigenfrequencies_single_e = np.zeros((len(trap_curvatures), 3))\n", + "eigenfrequencies_double_e = np.zeros((len(trap_curvatures), 4))\n", "\n", - "fig = plt.figure(figsize=(3.2, 2))\n", - "plt.plot(Cshunt * 1e15, f0_comms / 1e9, color='tab:purple', label='Common mode')\n", - "plt.plot(Cshunt * 1e15, f0_diffs / 1e9, color='tab:orange', label='Differential mode')\n", - "plt.plot(Cshunt * 1e15, (f0_comms - f0_comms * Cshunt * 2 / np.pi / (params[\"c\"] + 2 * Cshunt * 2 / np.pi)) / 1e9, '--k', lw=1)\n", - "plt.xlabel(\"Shunt capacitance $C_s$ (fF)\")\n", - "plt.xscale('log')\n", - "plt.ylabel(\"Resonance frequency (GHz)\")\n", - "plt.legend(loc=0, frameon=False)\n", + "# Sweep the electron frequency\n", + "for k, f_e in enumerate(trap_curvatures):\n", + " params[\"omega_trap\"] = 2 * np.pi * f_e\n", + " eigenfrequencies_single_e[k] = np.sort(single_e_with_tail(**params)[0])\n", + " eigenfrequencies_double_e[k] = np.sort(double_e_with_tail(**params)[0])\n", "\n", - "# Interesting story: For high impedance you want low capacitance, but you need some capacitance to split the common and differential mode.\n", - "# If the shunt cap is much smaller than the total capacitance, alpha << 1, then the splitting is given by alpha * f0 = cdot * f0 / c + 2 cdot " + "fig, ax = plt.subplots(1, 2, figsize=(5, 2))\n", + "\n", + "# And from here we calculate the frequency shifts (measured from the bare values)\n", + "ax[0].axhline(0, linestyle='-', lw=2, color='tab:blue', label='n = 0')\n", + "ax[0].plot(trap_curvatures/1e9, 1e-6 * (eigenfrequencies_single_e[:, diff_mode_idx] - f0_diff), color='tab:purple', label='n = 1', lw=2)\n", + "ax[0].plot(trap_curvatures/1e9, 1e-6 * (eigenfrequencies_double_e[:, diff_mode_idx] - f0_diff), color='tab:orange', label='n = 2', lw=2)\n", + "ax[0].set_title(\"Differential mode\")\n", + "\n", + "ax[1].axhline(0, linestyle='-', lw=2, color='tab:blue', label='n = 0')\n", + "ax[1].plot(trap_curvatures/1e9, 1e-6 * (eigenfrequencies_single_e[:, comm_mode_idx] - f0_comm), color='tab:purple', label='n = 1', lw=2)\n", + "ax[1].plot(trap_curvatures/1e9, 1e-6 * (eigenfrequencies_double_e[:, comm_mode_idx] - f0_comm), color='tab:orange', label='n = 2', lw=2)\n", + "ax[1].set_title(\"Common mode\")\n", + "\n", + "# Calculation of the capacitance change from the dispersive shift of the differential mode.\n", + "# The expression comes from a simple LC model, but if the resonance frequency shifts agree then this expression should be valid.\n", + "total_capacitance = 0.5 * (params['Ca'] + params['Cb']) + 2 * params['Cs']\n", + "Ex_tilde = np.sqrt(2) * (0.5 * params['alpha_a_prime'] - 0.5 * params['alpha_b_prime'])\n", + "delta_c = elementary_charge ** 2 / (electron_mass * (2 * np.pi) ** 2 * (trap_curvatures ** 2 - f0_diff ** 2)) * Ex_tilde ** 2\n", + "simple_lc_shift = -f0_diff * 0.5 * delta_c / total_capacitance\n", + "\n", + "# ax[0].plot(trap_curvatures/1e9, 1e-6* simple_lc_shift, '--', color='black', label=\"Simple LC circuit\")\n", + "# ax[0].plot(trap_curvatures/1e9, 2*1e-6* simple_lc_shift, '--', color='black', label=\"\")\n", + "\n", + "for k in [0, 1]:\n", + " ax[k].set_ylim([-0.8, 0.1])\n", + " ax[k].set_xlabel(\"Dot curvature (GHz)\")\n", + " ax[k].set_xlim(trap_curvatures.min()/1e9, trap_curvatures.max()/1e9)\n", + " ax[k].legend(loc=4, frameon=False)\n", + "\n", + "ax[0].set_ylabel(\"Frequency shift (MHz)\")" ] }, { - "cell_type": "markdown", + "cell_type": "code", + "execution_count": 43, "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'Frequency shift (MHz)')" + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "## Capacitance of single electron on differential mode" + "trap_curvatures = np.linspace(10e9, 40e9, 5001)\n", + "\n", + "eigenfrequencies_single_e = np.zeros((len(trap_curvatures), 3))\n", + "eigenfrequencies_double_e = np.zeros((len(trap_curvatures), 4))\n", + "\n", + "# Sweep the electron frequency\n", + "for k, f_e in enumerate(trap_curvatures):\n", + " params[\"omega_trap\"] = 2 * np.pi * f_e\n", + " eigenfrequencies_single_e[k] = np.sort(single_e_with_tail(**params)[0])\n", + " eigenfrequencies_double_e[k] = np.sort(double_e_with_tail(**params)[0])\n", + "\n", + "fig, ax = plt.subplots(1, 1, figsize=(2.2, 1.7))\n", + "\n", + "# And from here we calculate the frequency shifts (measured from the bare values)\n", + "ax.axhline(0, linestyle='-', lw=2, color='tab:blue', label='n = 0')\n", + "ax.plot(trap_curvatures/1e9, 1e-6 * (eigenfrequencies_single_e[:, diff_mode_idx] - f0_diff), color='tab:purple', label='n = 1', lw=2)\n", + "ax.plot(trap_curvatures/1e9, 1e-6 * (eigenfrequencies_double_e[:, diff_mode_idx] - f0_diff), color='tab:orange', label='n = 2', lw=2)\n", + "# ax.set_title(\"Differential mode\")\n", + "\n", + "# Calculation of the capacitance change from the dispersive shift of the differential mode.\n", + "# The expression comes from a simple LC model, but if the resonance frequency shifts agree then this expression should be valid.\n", + "total_capacitance = 0.5 * (params['Ca'] + params['Cb']) + 2 * params['Cs']\n", + "Ex_tilde = np.sqrt(2) * (0.5 * params['alpha_a_prime'] - 0.5 * params['alpha_b_prime'])\n", + "delta_c = elementary_charge ** 2 / (electron_mass * (2 * np.pi) ** 2 * (trap_curvatures ** 2 - f0_diff ** 2)) * Ex_tilde ** 2\n", + "simple_lc_shift = -f0_diff * 0.5 * delta_c / total_capacitance\n", + "\n", + "# ax.plot(trap_curvatures/1e9, 1e-6* simple_lc_shift, '--', color='black', label=\"Simple LC circuit\")\n", + "# ax.plot(trap_curvatures/1e9, 2*1e-6* simple_lc_shift, '--', color='black', label=\"\")\n", + "\n", + "ax.set_ylim([-0.8, 0.1])\n", + "ax.set_xlabel(\"Dot curvature (GHz)\")\n", + "ax.set_xlim(trap_curvatures.min()/1e9, trap_curvatures.max()/1e9)\n", + "ax.legend(loc=4, frameon=False)\n", + "\n", + "ax.set_ylabel(\"Frequency shift (MHz)\")" ] }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 44, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "5.758 5.760084293864052\n", - "{'c': 1.3810331980887056e-13, 'cdot': 5e-17, 'l': 5.528132792354822e-09, 'omega_e': 188495559215.38757, 'alpha_plus_prime': 240000.0, 'alpha_minus_prime': -240000.0}\n" + "4500\n" ] }, { "data": { "text/plain": [ - "(10.0, 30.0)" + "([,\n", + " ,\n", + " ],\n", + " [Text(0, 0, ''), Text(0, 0, ''), Text(0, 0, '')])" ] }, - "execution_count": 37, + "execution_count": 44, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", + "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" + } + ], + "source": [ + "trap_curv_freq = 37e9\n", + "\n", + "print(np.argmin(np.abs(trap_curv_freq - trap_curvatures)))\n", + "\n", + "shifts_kHz = [0, \n", + " 1e-6 * (eigenfrequencies_single_e[np.argmin(np.abs(trap_curv_freq - trap_curvatures)), diff_mode_idx] - f0_diff), \n", + " 1e-6 * (eigenfrequencies_double_e[np.argmin(np.abs(trap_curv_freq - trap_curvatures)), diff_mode_idx] - f0_diff)]\n", + " \n", + "plt.figure(figsize=(3.2, 2))\n", + "plt.bar(range(3), shifts_kHz, color=['tab:blue', 'tab:purple', 'tab:orange'], width=0.4)\n", + "plt.xlabel(\"Number of trapped electrons $n$\")\n", + "plt.ylabel(f\"Frequency shift at {trap_curv_freq/1e9:.1f} GHz (kHz)\")\n", + "plt.xticks(range(3))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here we see that \n", + "\n", + "- The common mode doesn't couple to the electron(s)\n", + "- The differential mode shifts order ~10 kHz\n", + "- When the dot capacitance is low, the circuit can be approximated easily by the simple LC circuit. The dot capacitance is only a perturbation in this case." + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(10.0, 40.0)" + ] + }, + "execution_count": 45, + "metadata": {}, + "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", 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" ] @@ -914,108 +1477,143 @@ } ], "source": [ - "electron_freqs = np.linspace(10e9, 30e9, 5001)\n", - "\n", - "eigenfrequencies = np.zeros((len(electron_freqs), 3))\n", - "\n", "fig = plt.figure(figsize=(3.2,2))\n", - "\n", - "f0_diff = 5.758e9\n", - "Z0_diff = 200\n", - "Ex = 0.24e6\n", - "\n", - "# Calculate the resonator parameters from the measured differential mode frequency and estimated impedance\n", - "omega0 = 2 * np.pi * f0_diff\n", - "cdot = 0.05e-15\n", - "l = Z0_diff / omega0\n", - "params = {\"c\" : 1 / (omega0 ** 2 * l) - 2 * cdot,\n", - " \"cdot\" : cdot, \n", - " \"l\" : l, \n", + "plt.plot(trap_curvatures/1e9, delta_c * 1e18, lw=2)\n", + "plt.xlabel(\"Electron frequency (GHz)\")\n", + "plt.ylabel(\"Single electron capacitance (aF)\")\n", + "plt.xlim(trap_curvatures.min()/1e9, trap_curvatures.max()/1e9)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Effect of the dot capacitance" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To separate the common and differential mode, we need some cross-capacitance (non-zero $C_\\mathrm{dot}$). However, this capacitance also lowers the impedance, and thus there is a trade-off. How much capacitance do we need to achieve a good separation between the common and differential modes? Let's find out:" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Note, a factor of pi/2 accounts for the distributed nature of the capacitance to gnd, inductance and shunt capacitance.\n", + "params = {\"c\" : 2 * 20e-15 / np.pi,\n", + " \"cdot\" : 0.0, \n", + " \"l\" : 2 * 100e-9 / np.pi, \n", " \"omega_e\" : 2 * np.pi * 20e9, \n", - " \"alpha_plus_prime\" : Ex, \n", - " \"alpha_minus_prime\" : -Ex}\n", - "\n", - "assert params['c'] > 0, \"The calculated capacitance is not physical\"\n", - "\n", - "# Sweep the electron frequency\n", - "for k, f_e in enumerate(electron_freqs):\n", - " params[\"omega_e\"] = 2 * np.pi * f_e\n", - " efreqs = diagonalize_this(**params)\n", - "\n", - " eigenfrequencies[k] = np.sort(efreqs)\n", - "\n", - "# The bare common mode frequency can now be calculated\n", - "f0_comm = np.sqrt(1 / (params['l'] * params['c'])) / (2 * np.pi)\n", - " \n", - "# And from here we calculate the frequency shifts (measured from the bare values)\n", - "plt.plot(electron_freqs/1e9, 1e-3 * (eigenfrequencies[:, 0] - f0_diff), color='tab:blue', label='Differential mode', lw=2)\n", - "plt.plot(electron_freqs/1e9, 1e-3 * (eigenfrequencies[:, 1] - f0_comm), color='tab:red', label='Common mode', lw=2)\n", - "\n", - "# Calculation of the capacitance change from the dispersive shift of the differential mode.\n", - "# The expression comes from a simple LC model, but if the resonance frequency shifts agree then this expression should be valid.\n", - "total_capacitance = params['c'] + 2 * params['cdot']\n", - "delta_c = 2 * (elementary_charge) ** 2 / (electron_mass * (2 * np.pi) ** 2 * (electron_freqs ** 2 - f0_diff ** 2)) * (0.5 * (params['alpha_plus_prime'] - params['alpha_minus_prime'])) ** 2\n", - "simple_lc_shift = -f0_diff * 0.5 * delta_c / total_capacitance\n", + " \"alpha_plus_prime\" : 0.2e6, \n", + " \"alpha_minus_prime\" : -0.2e6}\n", "\n", - "plt.plot(electron_freqs/1e9, 1e-3 * simple_lc_shift, '--', color='black', label=\"Simple LC circuit\")\n", + "Cshunt = np.logspace(-18, -14)\n", + "f0_comms = np.zeros(len(Cshunt))\n", + "f0_diffs = np.zeros(len(Cshunt))\n", "\n", - "print(f0_diff/1e9, f0_comm/1e9)\n", - "print(params)\n", + "for k, c_s in enumerate(Cshunt):\n", + " params['cdot'] = 2 * c_s / np.pi\n", + " f0_comms[k] = np.sqrt(1 / (params['l'] * (params['c']))) / (2 * np.pi )\n", + " f0_diffs[k] = np.sqrt(1 / (params['l'] * (params['c'] + 2 * params[\"cdot\"]))) / (2 * np.pi )\n", "\n", - "plt.xlabel(\"Electron frequency (GHz)\")\n", - "plt.ylabel(\"Frequency shift (kHz)\")\n", - "plt.xlim(electron_freqs.min()/1e9, electron_freqs.max()/1e9)\n", + "fig = plt.figure(figsize=(2.4, 1.7))\n", + "plt.plot(Cshunt * 1e15, f0_comms / 1e9, color='tab:purple', label='Common mode')\n", + "plt.plot(Cshunt * 1e15, f0_diffs / 1e9, color='tab:orange', label='Differential mode')\n", + "plt.plot(Cshunt * 1e15, (f0_comms - f0_comms * Cshunt * 2 / np.pi / (params[\"c\"] + 2 * Cshunt * 2 / np.pi)) / 1e9, '--k', lw=1)\n", + "plt.xlabel(\"Shunt capacitance Cs (fF)\")\n", + "plt.xscale('log')\n", + "plt.ylabel(\"Resonance frequency (GHz)\")\n", "plt.legend(loc=0, frameon=False)\n", "\n", - "fig = plt.figure(figsize=(3.2,2))\n", - "plt.plot(electron_freqs/1e9, delta_c * 1e18, lw=2)\n", - "plt.xlabel(\"Electron frequency (GHz)\")\n", - "plt.ylabel(\"Single electron capacitance (aF)\")\n", - "plt.xlim(electron_freqs.min()/1e9, electron_freqs.max()/1e9)" + "plt.xlim(Cshunt.min() * 1e15, Cshunt.max() * 1e15)\n", + "ylims = plt.ylim()\n", + "\n", + "# Interesting story: For high impedance you want low capacitance, but you need some capacitance to split the common and differential mode.\n", + "# If the shunt cap is much smaller than the total capacitance, alpha << 1, then the splitting is given by alpha * f0 = cdot * f0 / c + 2 cdot " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Here we see that \n", - "\n", - "- The common mode doesn't couple to the electron\n", - "- The differential mode shifts order ~10 kHz\n", - "- When the dot capacitance is low, the circuit can be approximated easily by the simple LC circuit. The dot capacitance is only a perturbation in this case." + "As noted in https://arxiv.org/pdf/2410.19592, we can also use the tail inductance to lift the degeneracy between the common and differential modes." ] }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "2762.066396177411" + "(3.8709809317835244, 5.672036087176424)" ] }, - "execution_count": 34, + "execution_count": 47, "metadata": {}, "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "params['c']/params['cdot']" + "# Note, a factor of pi/2 accounts for the distributed nature of the capacitance to gnd, inductance and shunt capacitance.\n", + "params = {\"c\" : 2 * 20e-15 / np.pi,\n", + " \"cdot\" : 0.02e-15, \n", + " \"l\" : 2 * 100e-9 / np.pi, \n", + " \"omega_e\" : 2 * np.pi * 20e9, \n", + " \"alpha_plus_prime\" : 0.2e6, \n", + " \"alpha_minus_prime\" : -0.2e6}\n", + "\n", + "Ltail = np.logspace(-10, -7.5)\n", + "f0_comms = np.zeros(len(Ltail))\n", + "f0_diffs = np.zeros(len(Ltail))\n", + "\n", + "for k, l_t in enumerate(Ltail):\n", + " f0_comms[k] = np.sqrt(1 / ((params['l'] + 2 * l_t) * params['c'])) / (2 * np.pi )\n", + " f0_diffs[k] = np.sqrt(1 / (params['l'] * (params['c'] + 2 * params[\"cdot\"]))) / (2 * np.pi )\n", + "\n", + "fig = plt.figure(figsize=(2.4, 1.7))\n", + "plt.plot(Ltail * 1e9, f0_comms / 1e9, color='tab:purple', label='Common mode')\n", + "plt.plot(Ltail * 1e9, f0_diffs / 1e9, color='tab:orange', label='Differential mode')\n", + "plt.plot(Ltail * 1e9, (f0_diffs - f0_diffs * Ltail/ (params[\"l\"] + 2 * Ltail)) / 1e9, '--k', lw=1)\n", + "plt.xlabel(\"Tail inductance Lt (nH)\")\n", + "plt.xscale('log')\n", + "plt.ylabel(\"Resonance frequency (GHz)\")\n", + "plt.legend(loc=0, frameon=False)\n", + "plt.xlim(Ltail.min() * 1e9, Ltail.max() * 1e9)\n", + "plt.ylim(ylims)" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { "kernelspec": { - "display_name": "neon", + "display_name": "eonhe", "language": "python", "name": "python3" }, @@ -1029,7 +1627,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.11.7" + "version": "3.10.6" } }, "nbformat": 4, diff --git a/quantum_electron/_version.py b/quantum_electron/_version.py index 52535bb..d16be0c 100644 --- a/quantum_electron/_version.py +++ b/quantum_electron/_version.py @@ -2,4 +2,4 @@ # 1) we don't load dependencies by storing it in __init__.py # 2) we can import it in setup.py for the same reason # 3) we can import it into your module module -__version__ = '0.2.1' +__version__ = '0.2.2' diff --git a/quantum_electron/schrodinger_solver.py b/quantum_electron/schrodinger_solver.py index 29a23c1..229b57e 100644 --- a/quantum_electron/schrodinger_solver.py +++ b/quantum_electron/schrodinger_solver.py @@ -372,6 +372,8 @@ def get_quantum_spectrum(self, coor: Optional[List[float]] = [0, 0], dxdy: List[ Returns: tuple[ArrayLike, ArrayLike]: Eigenfrequencies of the first N motional modes in Hz, and a classification of the mode. """ + if coor is None: + coor = find_minimum_location(self.potential_dict, self.voltage_dict) if not self.solved: self.solve_system(coor=coor, dxdy=dxdy, **solve_kwargs)