{ "cells": [ { "cell_type": "markdown", "id": "5b98cd9b", "metadata": {}, "source": [ "## Li diffusion in layered LiTiS2 with NEB (M3GNet)\n", "\n", "Self-contained notebook version of Part 2 of the NEB tutorial.\n", "\n", "Workflow:\n", "1. Relax pristine LiTiS2 (including lattice optimization).\n", "2. Build and relax initial/final vacancy configurations.\n", "3. Run NEB (`19` images, `100` iterations) and extract diffusion barriers.\n" ] }, { "cell_type": "markdown", "id": "80bc51bc-1ff0-4b2c-a440-cbf61513d8ec", "metadata": {}, "source": [ "### 2) Initialize PLAMS and define shared engine helper\n", "\n", "Set up the PLAMS work folder and a helper that returns M3GNet+D3 settings with single-process/thread execution.\n" ] }, { "cell_type": "code", "execution_count": 1, "id": "2be0294b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "PLAMS working folder: /Users/ormrodmorley/Documents/code/ams/amshome_fix2026/userdoc/PythonExamples/neb-litis2-m3gnet/LiTiS2_NEB.002\n" ] } ], "source": [ "import scm.plams as plams\n", "\n", "plams.init(folder=\"LiTiS2_NEB\")\n", "\n", "\n", "def make_engine_settings():\n", " s = plams.Settings()\n", " s.runscript.nproc = 1\n", " s.runscript.preamble_lines = [\"export OMP_NUM_THREADS=1\"]\n", " s.input.MLPotential.Backend = \"M3GNet\"\n", " s.input.MLPotential.Model = \"M3GNet-UP-2022\"\n", " s.input.ams.EngineAddons.D3Dispersion.Enabled = \"Yes\"\n", " return s" ] }, { "cell_type": "markdown", "id": "d3fc9611", "metadata": {}, "source": [ "### 1) Define the pristine LiTiS2 structure\n", "\n", "This is a supercell of the conventional crystal unit cell. It has been constructed from the optimized lattice.\n", "\n", "To help with visualization, we add atoms 0 and 24 (zero-based indexing in Python), corresponding to atoms 1 and 25 in the GUI, to regions.\n", "\n", "Later, we will remove Li atom 24 and visualize the diffusion of atom 0 into atom 24's original position.\n" ] }, { "cell_type": "code", "execution_count": 2, "id": "6630ac7e-e5aa-45d7-83e3-73dbf72fc7d9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[10.04|12:20:45] Starting Xvfb...\n", "[10.04|12:20:45] Xvfb started\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from scm.base import ChemicalSystem, Units\n", "from scm.plams import view\n", "\n", "litis2_pristine = ChemicalSystem(\n", " \"\"\"\n", "System\n", " Lattice\n", " 10.314900000000 0.000000000000 0.000000000000\n", " -5.157450000000 8.932965437496 0.000000000000\n", " 0.000000000000 0.000000000000 12.349810000000\n", " End\n", " Atoms\n", " Li 1.719150000000 2.977655145832 6.174905000000\n", " Ti 1.719150000000 2.977655145832 3.087452500000\n", " S 1.719150000000 4.962758576353 4.551328274763\n", " S 3.438300000000 3.970206861143 7.798481725237\n", " Li 3.438300000000 5.955310291664 0.000000000000\n", " Ti 3.438300000000 5.955310291664 9.262357500000\n", " S 3.438300000000 7.940413722185 10.726233274763\n", " S 5.157450000000 6.947862006975 1.623576725237\n", " Li 3.438300000000 5.955310291664 6.174905000000\n", " Ti 3.438300000000 5.955310291664 3.087452500000\n", " S 3.438300000000 7.940413722185 4.551328274763\n", " S 5.157450000000 6.947862006975 7.798481725237\n", " Li 6.876600000000 0.000000000000 0.000000000000\n", " Ti 6.876600000000 0.000000000000 9.262357500000\n", " S 6.876600000000 1.985103430521 10.726233274763\n", " S 8.595750000000 0.992551715311 1.623576725237\n", " Li 6.876600000000 0.000000000000 6.174905000000\n", " Ti 6.876600000000 0.000000000000 3.087452500000\n", " S 6.876600000000 1.985103430521 4.551328274763\n", " S 8.595750000000 0.992551715311 7.798481725237\n", " Li 5.157450000000 2.977655145832 0.000000000000\n", " Ti 5.157450000000 2.977655145832 9.262357500000\n", " S 5.157450000000 4.962758576353 10.726233274763\n", " S 6.876600000000 3.970206861143 1.623576725237\n", " Li 5.157450000000 2.977655145832 6.174905000000\n", " Ti 5.157450000000 2.977655145832 3.087452500000\n", " S 5.157450000000 4.962758576353 4.551328274763\n", " S 6.876600000000 3.970206861143 7.798481725237\n", " Li -3.438300000000 5.955310291664 0.000000000000\n", " Ti -3.438300000000 5.955310291664 9.262357500000\n", " S -3.438300000000 7.940413722185 10.726233274763\n", " S -1.719150000000 6.947862006975 1.623576725237\n", " Li -3.438300000000 5.955310291664 6.174905000000\n", " Ti -3.438300000000 5.955310291664 3.087452500000\n", " S -3.438300000000 7.940413722185 4.551328274763\n", " S -1.719150000000 6.947862006975 7.798481725237\n", " Li 0.000000000000 0.000000000000 0.000000000000\n", " Ti 0.000000000000 0.000000000000 9.262357500000\n", " S 0.000000000000 1.985103430521 10.726233274763\n", " S 1.719150000000 0.992551715311 1.623576725237\n", " Li 0.000000000000 0.000000000000 6.174905000000\n", " Ti 0.000000000000 0.000000000000 3.087452500000\n", " S 0.000000000000 1.985103430521 4.551328274763\n", " S 1.719150000000 0.992551715311 7.798481725237\n", " Li -1.719150000000 2.977655145832 0.000000000000\n", " Ti -1.719150000000 2.977655145832 9.262357500000\n", " S -1.719150000000 4.962758576353 10.726233274763\n", " S 0.000000000000 3.970206861143 1.623576725237\n", " Li -1.719150000000 2.977655145832 6.174905000000\n", " Ti -1.719150000000 2.977655145832 3.087452500000\n", " S -1.719150000000 4.962758576353 4.551328274763\n", " S 0.000000000000 3.970206861143 7.798481725237\n", " Li 0.000000000000 5.955310291664 0.000000000000\n", " Ti 0.000000000000 5.955310291664 9.262357500000\n", " S 0.000000000000 7.940413722185 10.726233274763\n", " S 1.719150000000 6.947862006975 1.623576725237\n", " Li 0.000000000000 5.955310291664 6.174905000000\n", " Ti 0.000000000000 5.955310291664 3.087452500000\n", " S 0.000000000000 7.940413722185 4.551328274763\n", " S 1.719150000000 6.947862006975 7.798481725237\n", " Li 3.438300000000 0.000000000000 0.000000000000\n", " Ti 3.438300000000 0.000000000000 9.262357500000\n", " S 3.438300000000 1.985103430521 10.726233274763\n", " S 5.157450000000 0.992551715311 1.623576725237\n", " Li 3.438300000000 0.000000000000 6.174905000000\n", " Ti 3.438300000000 0.000000000000 3.087452500000\n", " S 3.438300000000 1.985103430521 4.551328274763\n", " S 5.157450000000 0.992551715311 7.798481725237\n", " Li 1.719150000000 2.977655145832 0.000000000000\n", " Ti 1.719150000000 2.977655145832 9.262357500000\n", " S 1.719150000000 4.962758576353 10.726233274763\n", " S 3.438300000000 3.970206861143 1.623576725237\n", " End\n", "End\n", "\"\"\"\n", ")\n", "\n", "# zero-based indexing\n", "\n", "diffusing_atom = 0\n", "to_be_removed_atom = 24\n", "litis2_pristine.set_atoms_in_region([diffusing_atom], \"diffusing_atom\")\n", "litis2_pristine.set_atoms_in_region([to_be_removed_atom], \"to_be_removed_atom\")\n", "\n", "view(litis2_pristine, width=350, height=350, direction=\"tilt_c\", show_regions=True)" ] }, { "cell_type": "markdown", "id": "b3b1cd44", "metadata": {}, "source": [ "### 4) Build and relax the initial vacancy state\n", "\n", "Remove the Li atom (GUI index 25 -> Python index 24) to create a vacancy.\n", "\n", "#### Initial system (before relaxation)" ] }, { "cell_type": "code", "execution_count": 3, "id": "24154bf1-3ca4-468a-b962-df21bd717f83", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The atom will diffuse from [1.71915 2.97765515 6.174905 ] to [5.15745, 2.977655145832, 6.174905]\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sys_init = litis2_pristine.copy()\n", "\n", "# important: we will remove atoms so we need to create an unrelated copy (here a list) of the coordinates to save\n", "# otherwise the value of coords_target will change when we remove the atom\n", "coords_target = list(sys_init.atoms[to_be_removed_atom].coords)\n", "sys_init.remove_atom(to_be_removed_atom)\n", "print(f\"The atom will diffuse from {sys_init.atoms[diffusing_atom].coords} to {coords_target}\")\n", "view(sys_init, width=350, height=350, direction=\"tilt_c\", show_regions=True)" ] }, { "cell_type": "markdown", "id": "cc2cdcce-84f5-408d-a26e-a3c45cc08deb", "metadata": {}, "source": [ "#### The final system (before relaxation)\n", "\n", "Move the hopping Li atom to the vacancy site (GUI index 1 -> Python index 0)" ] }, { "cell_type": "code", "execution_count": 4, "id": "b9d6eb0c-6ce9-486f-9675-654fffadee41", "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAV4AAAFeCAYAAADNK3caAAC6Q0lEQVR4Ae2dB5gdVdnHz8y9d3vvPb2TCgkkBJIA0gUFgWBDRUFR4UOwF4IKIkVUBCQUFVCRoNIVKQkhAdJ775tkSzbb+y0z3++dvRM2yW6ye3cDm3DmeWbv3bkzZ875z5n/ec973qKU3jQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AhoBDQCGgGNgEZAI6AR0AgcrwgYx2vFu1Nv27aNWbNmfSza2h1c5Fxwsbt7TV843zCcxyl1ly/HSxuOp7r2hces66AR0AhoBHoNAS0E9BqUx2dBJ3QHEEmXzf7Wt741PBAIjBkyZEhlS0uL1zTNLklIlmUZ4XP5MD2HPuJgMCiHTI/HU8u9mg/9va/+T31t8DCpn5/vNX2xnmArz8jqqG4+n8+Ijo6u8/v9oY5+/yiPxcfH2xUVFVZSUtJhfSwhIcH4+te/3kRf+SirqO/dBxA4oYkXfI3bbrsturm5+esQTXRRUdE/GhoaDK/X262eDwHH8LIk8cJboVDoeMMsFRyiaINNuw/qcnKMA87ocdAPH+E/7mDHgBkrmFOVw8iX4zIgykB32G8fYdWdW4frn0Q/kcH6sH62c+fO/jExMQ/9/ve/L5d2iGDwUddZ3//DR+DgN/HDv/8xuyOEa95+++1WVFTUGUgfb9LJk+vr6+N/9rOfrTtmN9UFawRA4L777outq6szXKkXMjYZ8EMQ7ojk5OQ0JN/T6I8varA+vggcb9Jbl56UK0lAvllMST/xox/96K98T+L75a2trX+nEH93F5X04lyXoO+1k+T5hKVB6aOHSoUdHeu1ex+Lguh/XoSAmZdeeumzzz///Cdo2+4f//jHq10B4VjcU5epEfhQERDilRv+6le/uuLuu+8e5N78zjvvnPzrX/96hvwvHd49rj81AscAAacPuv3sjjvuOPuuu+6aKvehX6bSF6/htyj+dc47BvfXRfZhBE448nGlXQh2GLgHv/e9720Ld35j8ODBi9G95TEVTBM1BL/rTt+HO+dxXjWR0g3pZ5BsOhJuXmpq6iLpiz/84Q+r+X8HqofTOIcu2yYoHOft1dXvBgInHPFK25999lkPBHsKU7u35X86v3RudeWVV4ZYxV/Kavg0Oc5LoIlXgNDbMUHA7V+Q7FT63eLrr78+IDcSot2xY8d7fC3inBR+d0j6mFRCF6oRONYIiDQh9+hMpeBKFqKC+MUvfuGoINxjx7puuvyPFwJuv6KvDUTN8BlpvXvM/UT1MIrfP9n+t48XSh/f1p5IEq9M62zINwkJYhjTuHd5rHLsMJMjVpnnI4FMcYn64/v4dcuPJQLSvyDZ07nHO+3vIxKukO8PfvCDdfTFeISAAe6x9ufp7ycuAicM8dKR5SnZWC5MRc2w8qabbmoNHzvw9KRzy8vAanI5B8vj4uIm6A5/AB79pZcQEFKVfiX9S/qZ9Dfpd3Ls0FtgWz0fe9/J8vuhv+n/T1wEToiH7XZ0pm5FdOKkn/zkJyvdY4c+urAELJ5P70DQI8Tmkhfi0NO6/T+8jxjTtnf7Yn3BiYSAkK6sHyTQv0ZJP6Nxh828hISlj37/+98vYfZVi8fbGPfYiQSGbkvHCJwQxBtumrDnFHZRMRxxo8OrW265pZkOvwG73jM42Y5U4rjtNmU++6zy8K4h5rTtYQL2HLESx8GPV1yhPLRFdndQcf4/Dqp+tCoa8szmzlVed5f/j3ZRV36nH0k/tPFyFBXDeuln0t862oSg2Qw8K9/GRXo018aEj3V0uj6mEeg7CLiEyQLGGBbVLpSaiSRxtBrKOXIt13yBa7O7el37coV03f+nTctM+NWvilIfeqgo1T3mEpb7/3H0CTYftO3Qeh/H7UISPWK70MlGbmLo9jtsx3PoV1fL/+6xQzF0/3f7L7O101hoO0uOu8fcc/TniYfAce8yLB5OaWlp0Y2NjWORXl/gESE0HJV3nScpagcWNt5Fz3YmB+Z05/HKC3z77cq64oqCwRMnWj8bMkSdXVQUiE5JMVVJSf7mmhrrT4ZR+qiUKS+zSMPdKf8jPFfAs2mb/Z3v5H5izBjzswUF1vCsLENFR9u76urU32mX4Hy8tUuJBE+7QsOGpSdee23MuQMGqCl5eXY87SomhMdcwygRE68et4u4IFNZNHufhw7vHlkIkD4o58yZM2fJ1q1bPwvpZnFsnxyT66U+etMI9CkE3E4tXkHsMrXrlrTgShZIGp8OO1x0SVp2paZPfCL/rJ/8JK/6jTcK7O3bC22/fyBVGsI+mL2fvXdv7gtPPpkdD/H2SJL6EEF3JN3MzMyEa6/N+9uf/5xvr1lTaNfW9qM90rYB7EX2nj15/w63y1FBfIj1i/hW7jO79NLs6b/8Zd4WeWa7dxcSpU3a1s9ubi6wd+3K+9sjj+TGyU26K/lSiDPai4kYffFTUobbv+T7kTb3WumD0hfl3K5ee6Ry9W99FwGns/Td6h2xZlJ3myldOp8XpqenP3PdddcFuyMlSIeX890ykJj/gQQd4Jh7Y045OIj6vHnzzOnTp1sPP/yn/jNmBFeef76ROHKkERg2LM6bnJzEdfLehjBhqydkYX3U9u0tjwwaVPp1257mnTVr+mGmbe6N+sbnPKT4t4MzZuQ+c/HF3qvGjLGCI0ZEqfz8eABx+IhqNiGFNXp37255+ZZbSj91ww3TjHnzerddMovpTTx4Xp75898OnnRS7hnTphmvnX22ETt0qBkcODBGxcTEcivRGPlpY7OnrKzlzXfe8XzyiismE89jpN3VunCekZeX56msrJxJYa8SH6SST6eP8nnUze2LEO8VrD0sF49L99hRL9YnHHcIHGCY463m0imlzvfee+/FTO020dE396QNSCnT8HRr+e53v7uoK+UMHZr39HnnmZ877TQrMGpUjG/kyBTl82VxaQq7rSxrv22aJaGGhnpz2bKmk6ZPr9rQlXI/6nPS07Onz5jhm3v22VbgpJO8vtGjE1VysoxtaexeJMFa9CalfhlUVqxo/tSECfte+Kjr3MX7m2eckbfuwguN4WPHquDo0XHegoIULpV2RdOuJtpVQbtqozZubLl1xIiy+7pY7oHTkHan0i/FJXh+d0nTPV9UDbGxsecMHDjwH1dccYUlgsGBG+gvJwwCx6uOl/7o2OSmlZWVTenXr5+BpDAKvRpkZ3Z3MBFxJ5ZVZc/y5ctPZxV6ZHZ2dqsECpebsNXxUjRTtlMujhnWnj1lca+//veLLSuEesH0EnqVF1egjGGPZzcU4WI5P9pISGgwW1qKvvf979/xl4yMkthAIBZJuNc2Cep+UHslOHv4GCSiqrt6J6R9DyEL/Y888uCtUVHNtmWJesQDGfkoQtqUzB7F/1JiHRYADUwXYr/xgx/cuyczs97X2hrd43Yh6dmYYMkdqsG9V+IENzRUegYNGuC/557HpsTGlg8nRC5khlbfK+1KYE91Pg2jgc9WHmKjFR1tfv22237w75SUZKulhcPtNvA9rJ1YMNiEfUykz+QTCvJ5l0TbXXbUr7TXFvWC6Hch8Irt27dP5Nj74WN9fKZ01ObpEw5B4HglXpECjKqqqkb0kRuQVDfywpaSXcLAaL1bEgLXenhpkrkumJKSshdpo4gXZx4k4OVFkrJM3lKD/xUvnayWWCUllSl+v60aG3ldGxQ6UEvV1wdVerq8pU1SNXbhPYtrDIWZZpzXazF1bI4yjLjDXlxOjGijzSkMCFHtA7RDuhGVhb1pSAaXQCA0oKXFxsRJ2iZttFRSUpCBxR8mXaf60kAjFLKL5GaW1T3ShVBiqbswuQW2UoSzga0MGvI9TQbRtqM9+xsVFUvcDrPZ51MzSWpht7aa6HNRKrDLzKRtk09WPxm2hQCBYVBS0u5PNDRkbYuObvQyJrvER/VMEZEPOEMIydKGAIu7/Zuamtb99Kc/baVfSiPcwttu0YW/stDGaWJetpAB/jOQ7lqONcox9m6X14Vb6lM+IgQ+6PUfUQUiva28pLwkrffff/98pLVTcL/cHGlZXFcTvnYv0sZlEGwAb6OSzspLTVU1CQm5ZkWFofbvt1V5eVDt3t3Mqn+1SkgQwpWtQbW2NtuVlcrev79x/x13fHN32/G+/TcvL7uputqrKitt6h1Se/e20qY6lZgo9RYpUXigyW5stFVtrb/+rrtuXSa/9PUtIyPrytjYKKO62rKrq9ueWXp6I4NKNVWXAbOV/tSkJJuQDKYxMc+/d8stf13d1XaJZMogPvOee+7JQl0VsVVCuF83se6wIWwL/FpY6tXE29WHcRycd9wSr0gm0iFvvvnmnehnx7GfBFmuDXdSV0I50iNwpQiRYpUsjiBdSC6yZUg1Z1POs3Ixx50OL78rNc9ZfKquVrV+v1peWmpM27vXtuLjQx6fr9l5aXNyGlVsrI2k61d1da2qtNQyios9CxBYjEceOcV73XVLe2UKHa6btKEXtnlmaWmDMXv2skBVlXfJvn3GKSUlpOxItlRcXAuEVMMCW4uKjxdBzg8xNdlVVSF7505zj+D9yU++7HnppYt7TZLvhQYdKGL9+sejn312d0t8fP6iqir1jdJSxczEYiBpVVFR9aqoKMR3L5J2ECm4kXYF1M6dVv369YV7bXsDZl5XmuvWjTxAetJHKPzA/3Ijt89hv7uIQXsah+bI8Ug26dds8lyXoj6bKTbBLLSVyTH5LZIy9TV9D4HjlngFyvBLIJLvO/x74SOPPLJJLBs43hWk3U4sPVrOdzo833chbYxF5TAKKXoNx0XvJkQu51vXXZc74ZxzzMveestO+/vflZ2YKBpDW4VCAdQNIYi2FbKyKcwKMmX3rlljlS1YEP+KvEvcJnj99b368rhtoGqRbWF7ZBkMzPvvz5u8ebPtfe45ZW/ZosyYGCleCKlZVVSI5CttCCHJh+zycsNYu9Z++v77HWzAaFlXBrvIKhnhVW2TIoXSxDBnzsxvnDvXDm7bpjyJibbyeoMMjk2qpsavxPYaVZBqaQkEkeR9Gzca8x58cGMlFhCeK69URx1QpH8I+YolAmQ5RszCuOemnpAl19vYmL9PGVNp/nMRQqAv66MIHNfEC6YuWVbS4Xft379/Eh12oSuBdBdzrpVLJJHi2+gYP0U5m3ipAmJ4P2dOQdQNN1i/mjDB+Nbw4Ybn7LM9CqlP/fvfIQO9IeRk8xKHsAAIhaJZJGeNyIvUGNy+3fjCf/+7tW7WLMdmqU+RU5h0rU9+Mv+0006zfz9kiDHxyisNiNVSTz4pCSUNJWpu0V+jXiHoi+hkldXYaPrWrw+9/OijpS+0I+7uwn0szxf7Yhno7BtvzL957Fj72nHj7OEFBcr83e9sIybGRC9tq6amIKqiEAOKsqOiVDAQUL7t2+3WjRvNn0o/WLfuYMn2SBWWmZEM+KwzLERffh4xobdyfkTPW0hX+jD64h3M5MaKbTDH1vWEyI9Ud/3bh4/A8U68Iu065EvW1kUscFxJJ12LpFoHlMKi3ZUIXSKvhcjdDAHz58xRoXPPDT0xbJh35qBBlpWW5g2mpcV5/vznGKOoqEH95S/1aiuvWWamoQoKTA8vsRBxcXm5/bV160rfcD2mPvzH2/kd3TpNmJB7xsCB9mtjxhixAwaYVmZmtHrggWhTVCd/+1uT2rFD2mSovDwDCw3Dg4rFU1Vlv/j669ZnITdmC53f4yP6RZxAZAw1rrgi77mxY41PjR5tqH79PMyQohhEAjyvZrwLTTVokKFycmxUDYjEpuFDr924Z4/6yvz5e9a4g1JX2+CSJeS7j76zt6dWCZTj9F3KfQchQGZzsoYR7Gp99Hl9GwFR2h33m+hfw2EgV9FJp9EgIdCI2uUSuWQIQF83gHK8WVnpl+bkeGYmJoYCMTFeIyUl3mvbGUZsbIG6554R6q23+qvvfz/WPvdcw963z3pu0SJr5ltvNYyFdP/XJi0ffboaUWUjv0iCxCCNDU5KSzOexhovNiZGBdPTY7DgSDXj4vLUH/84TL30UpE699xoOyXFQJ9r71iwIPTsggX2la+/vvdSoh1i0+FUIDKgI6/7Ea8Eb9Qeyho/Pvdngwebn0Kf609K8lqYeaECyqZdg9TTT+dDulGquFipxYtVAyqIvW++aT31n/8ET5s/v+TZ8KDUbWkVspRrDKTed+mHQ5BaE8IEGsnw5AgB4ohBn9wbns05kvARAdA/HhcIHPcSr6AsHZ5eSv801qCfHYHUW8T34vCxiIhh9uzZgZ///OfL//jHP09NSPB8FWJyisOsDOkoBpEqiQNp7KY66SSDneVwVelFF7owK6v0H6JfFPUCJHBUHeGH3VOmTVMSTS2Yk9P0ucREs8jjsYIej8/r80WH25VBu2LUtGkJ7Cb134enWvPCoqLSL5gM1dK2vki64GjK7ISMOrmxscFb4uIwDDNMX2xstOHzJVLvTE5JUJdfns4ea1VXl5m0a9dFF5ln7tmzp0qeQ08HSjqJgNPCotiasBCAft/pm1J8tzbK4VLbYDa3UGZzEPka+no9hUQym+vWvfXJxxaBE0LibQcRNpjWAvbJ7Y51+6t0eDq5+bOf/WzN9u2bsrEFndbUFDKampSHHR2ocLnFCxZiNVy81HASDvEfr/zGjQpp0Akx6Ehe3b75h3gBJHoydccJBIMqLKpwBuHusntol5c2mSxAeT1yrL7eOP+mm/qlXH650zapZUQDmlx4DDenP6emBs/wes14fEls7KiNYFAO+3heMrDE0q4YnlmsmZrqs1ENjXz8cZUnhHvddcrXRtyR19AlS4hyNd+TWWhDSdNGoJGU2n42h+54KmUIGUdSlL6mDyHgdNQ+VJ+Iq+J2boKg76WQ+l/+8pfj3GORFIpk4Vz27rtL36usbDRragwl9p+yGFNW1sqiUx2/V7Lvh6RqcJJogbwsTK1w94KH2bs9VeWaD2V7++222zBQBOvrlVFTgyFzjY3lgh/ybYScOIDTm8dTz2p/C+TrtCsqNjbAImPfk+DbWvPBX9O0MjDEsGmbTTQ1ZxG0ubmVE8QGuZ52NfLMxN5aHF+UgZNIorTrnHN675nJLIzZ0QLUVUKWEW9Sjki9mEquYdE3CUuHfj3p1xFXRF/YqwicEKoGFxE6pHzFyqB1AZ4/l/3ud7/bwDF5wyLZHH3dwoVvFCckpGwsLjYn9Ovns7Ba8MTFOW5PKje3mSArBtJTKy9wI84Stl1WZq6Qm82b50iGfXoxBGnXqKhQmIaJbWsIZwKxba1jMS2ILbJ0DT+DSb1j28qiUy3mY5hmRQLlh3sNknxDLSEl9u2T9lkspPlZQBObXXzDY2WmHuSZ1TumZKWlNk4inkBv1tAlRj6LWWjrLasEEXPfhcxlNlfcm/XVZX34CJxQxAt8jooAKaEOPe9mXDhP59hbIjHIyxABvCK9BuPjo/9RWho8efNmD378BvpRP1YLIbVvXzNOBTL3C0FQQVmsMTZsMJ6X+zz0UJ+cikvVDmwej/EGziDXbd+uICaxbQ0g3TYg2bdgFmciFYZopz9UV2f7tm0zXnv55ZImVvu9oh8+UEjf+uLMMvACf6++3gru3KnMtDSbwVGq28RsRNy6PQQzEpvdVquuLqg2bbLKV6xo2STNQN3gXN8bTaK/STHS7+aj+hLTxC38HxHBS98N9+Fi1jDEWWg0x1aLOkwk4t6ory7jw0XghFE1uLC5U7PU1NQldNZ8Omq6dFx+j0RWE5WBQcjJh5mWb1m/PoD9qhHcuNGyNmwIEKu2VfbQunWBwJo1hnfBAuvFe+7ZO1dMkXp7Si5rNm66Gr575B5umyP4FCYy8/Nznifmy6IdO0zv+vXKv2WLZdMutXZti1q1qom2tQSx1/W9/bbVsny557dcIxj2+osubWM3w22K5DlRLWeTunn27t0rJPfM3r2mic7dv3WrBcH61bp1TWrlynr2Rnv9+tYAbTZXrTIff+KJynrBFq6MZHBuu/Phf0UIkEzCtfQ/xzRR+qEQ6OGnHv0I18pJLOyab/N9LLO5aPS/vVnfo1dCn9FrCETUCXrt7seooLB0YIsHEdLGcML0YegfsXQgBGcVFWUNxJHgf0zBBxUURKFmsFRaGvHIUDX4CeVaXm69tmhR4DM33FDRhHpYXoheeymEFDryoBIClrpFSBhOu/r1y+7v93veICLXIGlTYaGyM1n8R5Ln/TYlFoW/uDh07euvlz3d0xX/Qx+3EO2oUco4tG290C41YMCATKTad2nXQDJo2AMG2KHsbAN1iiLgkTJxejF27Ai9+dRTURffdtsuf28/M8Hq2WevoMkj7T//WUXt2+f5bFpa9fNf+9r91WEcut0/3D6MxHs6BOyJJPzkoc9A///RIHBCEq9A6ZIvnfQzdNLldNLt7rHuQu12+GuuuXr4unXb7t+1a1eGEBVqhyCeXBuwBpi9Y8eev8lt2QXTbr9UndVJpEEh1nPOGZh8+eWt47Oz1RAIf8/OncbqL31pjywk0ta2czor4wjHw+SbmeP3e+9ECL4Ys7lMPLmYjtsoso0FZWX2bSUlJe8dC9KF7Bzp+YorMhNOPdU3JDXVW3vttcU7qa9zvKftGjgwt6i52XwQ/C7AScKD9x06Xgq3LD/R155YvNi6RalS7FR695nJgOK2zcX+s599uV929v6B99//pbkQMgPpHJlNdXuTPoypozfSgOvdvqG+QCPQHQSkg8r5EG826oYvyP/use6U455LUGqmogautE+e//DD9/cndm1KcnK/FPd3fpKt7a97sGefMv12yvvWt3J/8MQTeXveey+fxbtCVusLiRyWV71rV/69t90WWaqadlUT8nW2oUNzM9LSCiYlJRVMUiq7f/iwY9vqfu+NT1dN8slPFgy+6668J//977y9ixfn21u35rXs3Zu3dvv2vFu//e3B0XIvF4MI7nugXYWFhaOys/O+kpGR/7X09ILPRUXlDZXyjuUzk3x1jz+e/8ybb+a+t3p13vubN+e8/PLL5z86c+aj2XJv277tQP3k/65ubh8WN2IW7i6V60Qw6Or1+jyNwDFHwO2QEO+57BPlhm7H7e7Nw9cZ//d//5dLWZ8TEpYXV0hEpEHK603SdcnOuPzy3CceeaTAfvfdAqwP+oVse2jAtkfyOYwqDYCAc99YujQ3DoIicHnEdZC6SxsO2sLl9epL7ZLulCn5M37wg7zq114rgHALiZE7kPYMCe/98QDMe+fZZ1OTe6FdHT6XcD06/O0gELr+Dy7KDoaea6/Nf/CJJwrslSsL7JqafrRJ2iZ7IXn4+i3+z3/aBjVpW9eL/+BMCnLqTT+8CvOyAfKLe+yDs/S3voxARA++Lzeofd1YaHOm/piXvcvxkRBxnBBmJBvX2Vxv/Pa3vy3l+oqf//znU3hx2G5T4YW0XlMv4FnmlTJHjMj9dkGB98upqZaf0IVWSkoizysbd+VC07LyuF9yK26+ZzOF/g3Nkul5pM9T6u4sJPIpBCw7wb4dlYkz7ef/3thkCm7Hxw/IJkbCs8RKSCHObyAtLZb4t2mUn0s9crhfij8zM2bq5MkxT4bbFdlDg48oVHbBRSx43N1VBchvvbJBus6CKumF7sNV+QayFxNY3xtKTk4A1wz2LPbUQF6eOXHcOPNZN6kmN4+0bdgje95hP02Tbq88wg+1kEhf1A+1kj24GX3SFpfiBspYj23vFD6FQCNqd9h0x7ETJuvAYMrpiS9+Z80ycHDgJU1PRB/5vbi4kLi9eqOjfQSuQfmq0pG0czD1yjUI1xNFOp5QUpLxFabrhZBUyJUoOyv8KMeFiLi3s/cm4Tq3ZUAR3O3c3JbvZWaaGVFRdiCK/Blk/4B80vgpj88CJPcs2hUbzM31XrJgQfYMIV9ZYHQKieyPtEUsOdy9t9vmkG5qasFo4lrclJAQCrIGQPjJWOqcxp7HXiifPqWS/Dk5URMnTbKvl3bRPTnevS0sBJjf//73S9BXV6FyOEWOaQLuHo4f5dkREdBHWeHu3tvtkEi9y/ieBVlmuSZn3S1Lzg8TeROfboYAIfKIpZYO6uCQU1JS3DAEtXxCFUL0sgoPq+LC2yaM8v6SoBEXWO7rY6Xe60tIsGZIWdOnRyz1yuXHdJs/X4hvcDSEcynxigk6b0haHha7RBAVlW4cu5hTYBxN/jqkOSRh41P8I6qX3sRYiuy1LTygYAlifVasXGQmRL46uhvjh4rlexKfKezJ7PEQrdcixOZn+Ee2iAYBdzZH4P6F3GgEfTDi2VxbNfTfDxOBE554XTCFbLFuWITUO809FsmnS+RYSSylvDTJENATIu+sDgTm9kr8BHF5lb2yMuRktJCUQmTCdXbDaOYzaBM/wuZcYau+vMliIY4aTQkMJhmk1zFoF+7KFu0SQVTS7zSyN7G3socYaBTxMRDv2zau7ptb2wxFrCXUGQS/J0+dcvLV4cRBhYMMJNIecaCUdtpI9LbZ0OAdc+ut03LCUm8kg4oz4NP3GuiTmwncf7oUDgF/bN5p2nvcbh+LhyRkKR1SMgTwpILhDAH0/7ZFikienpRJwsb3kTimRnJ9Z9cgPUk8WS9qhmbIySorIwBjuUVmiyCxcRvxKquEkEqRosr4rCYOQauxe7dl4NIrrNWnN1GDjB3rtQhc48dV2clXt29fCI+/Ztx3a2hTOfWnwcTA8PubiB0RsjlPWEtcsCMhJ7n0w9hMUYXQn/ykF2KQlLZZTr66mpp67r+ffR87P/CY6uoC/O71xMZOFLJUs2ZFNmNyB3xSwS+hmEz6eI9mc1IXvX04CHwsiFegdL18JEMAhDmJDAHd1q25j8QlcskQwLGgmPbIsZ4QuZQtxIT0ROoiFdy7N3lDU5O1t7jYgFiVtXNnUG3Z0oxXWY3avLkCEt7P/3X29u0kf1tuBVavNudKGRBURFNXufZYbrTNENvWBQuKq/fvV9gHmxCTCu3eHVLbt7eo9etraNM+BplyYitUcayZ9tk4ORjvSb1oV5/c5JnJYClOIOTge1USoNIurBcstWtXK9HqatWePRUkBi2FcCtoWwNZqpW1d2/T+yESOv/61z8Z4hJopA288sorJUP0YmZzYSKf1ZcHqUibeUJdJ8q1j8XmkiWdfB8S756tW7dKmqD3RBKWjt9dELjGmfpSRq9kCJAXWIjpvPMycs84I+pbp51Wc+6bb6qs+++3JdcZWg0bKTDICyzphQyC2SCuG5a/vt6MXrnSeuzhh0t3izkTZcjiWJ/a3LZJvrrp043L165Vgx96yJZUQiwYSr66IHEU2qK+cYypuRViyu7ZuNGuWLbMeg4VBTD33XYJ2HffnTe5ocHInT3btjdtUgRSkkoHnYh1lZUSpAeNvWnxDEPW/v2mb/Pm4MOZmTe85ff/4ir64DaKiEiV4vZrAqZvZZFttMzmWHTrUb63PtV5TtDKfGyIV55fmGDJuRXzLgF0rqaTrqWTitJUJITudnxHwqXjS743N0NARPneXGKaOjXv7FNOUU9NmmTmDhxoqKlT5fGEyHLRikrBVMOHK7L92uLOa/l8ygwEPNHFxdabc+eq77hlcEFf2pw0PDKgfPWreb855RTjxhEjDM+ll5qoFSx1771t+eqamiRVvM2AYll4zlmSr45Mx6RTCt3w4otlFUiTMjvpUwOKi/c55+SfNm2a/Xvy8GGpYECuNk47Np9t+epkQBGVCc8sZNJsPOlIphl6ffbsAc/T7QLY4pbExUVPoB8tlRmTEGl3H6DM5ujbkHzP87119976/MgQ+NhNSdzOLfF6gSyf+L1uhoBud3iBXMojQ0CUZAiIj49/gRRE9XKcravlsdii7OzsogEzZgRXXnCBkQg5BYYOjfW02e3GqNmz60lZU82UNSSxIewclmSIN7Afa4e/rFhh/exYuL22NaFnf11yOvvsvAcuuMD8FgknraFDfVZ+fpzHNGONu+9uUg8+WEtITUtlZJgMKgYuvYaTr66iwv7+unUlz4gU39sBh3rWqg+yVIwcWTBp+nRrHimfYrHdtQYOjLZjY2M8s2a1kreuAasMm9gXJnE9DGeWwqKixD2WfHVX23apE2Lzvvvui8Hi5jMEOX/ulltuaelGvzmoGe7MDU/NT0DeDUjAEc/mDipY/3NMEPjYEa+gKGSJlEDOtNiZdNJ5Yg/pEnI3UTZIQuiVlPLoecegDyikrJdFfyx6t66U5RLLiBF5fz33XPOzp55qBU46KcY3fHgyYRqzKCKZKauNNFOOLrfEXrWqOfT00/bX3n3XfhnC3c8UnPZEJLEfsXryInOCswYwnS/z2MGMPBtdlsgcKTU7O/8s0qS/efbZVnDUKK9nzJgEkmamU+dUpEIPOs/95HYrtTZvbjGWLLFfIZrYnysqGt7EcqPGJW5u3atb+7aNGrXeJm6CqJq6OlA6eBvGSN/06dVLGVBGjxunAqNGxfry81OcdokZ2bp1NbiXl9lEeiMusF2yf7/xP4j3VSKnzQk3RhYFRIciwZxOYd0hDbL8n0ugETaYGcZtsZD45ZD5v5GC3QXXLrctwvvqyzQCR0dASFbOgiyLkBCulO/uMfnelS388h506m23/fySv/zrX+lycO7cuV1R44QHvsyEk07K3XfTTXnWk08WWKtWDcbGVRySPs3+VdLXfIXPT7KPDdp2kb17d85n5B6/+51j/Nrrg6fEpZDyO9q6uigpA4pc379/3r+uuaYg9MgjeYGFCwfYDQ3jaccF7NfQrmv5vJx9Im7QA+zS0tzfyDUEHnJdpuXfXtvkmXGzDvHqaruojPNc09NzP3XhhQX2ffflBV57rQgX51EUPYN9JtYu8ryuYj+d5zXILi7OWyCNaDdIHqgDJwlZmqgcviBxReQ8OSaf3d3c61B9jWdGd55c31E/7W65+vzeR8DpRL1fbN8uUaQM6aRsEWUIuA1JUPTFkyZNSho/dvS1Bfk552RkpKcG/MGYRa+9uu4Xv/jxj2bMmLFbOn1Yr9wZICJR4lbqG4IzQZroOhsbbexbbdXUFMQxQmw/W5wpq23jSWFY5EczsGxQ5/PDP8eMcfSevSrNhOscuvDCC0eMHD70nMy01FFx8bGhKK938drNO/6NJF/XlehaqAecBUtwLiRHnSm2xpKvTtqIo4E0m3aJ8wRJ33gUHMAKQE3nw4NkKEe6NGOQ67qyuc9CdKESZa4wJ/8UVEMxMbHRa27+7o+WygylKzMVLBgUlifU3YBl2/LVofJhRiJNkF0CyEu7TBYNPWRtNllQs0f/8Ic5mb/6VVkVJ0jjD3pm0kcgy4VgdQa/Pcce0eb2a2Ymq5B6r0KSzuvBbC6iOuiLuobAx5J4BRo6afijexkC3Bf4lFNOmTZq+NBHhw4aOCQ/P1elE6sxJSVZ+Vtbx0fHxFz0z2eevOXymV/8k0ShMoxOrSacF5AYv63NzUFWu5UpNqDl5UH0uU1q4MBqdLpCvlLfevK8tWIjatmktZEp5EEvr3NSz/6I5GUICXzq4ovvGDx4wPeGDR7ozc7OUkksyUMmNxQUFPx81PBBs6688v/+1BWSkuqQSNMmywX2x2Lb2ma5IGl4YmJkzJGkmtKUZghZHCkcUhLCdR4On721OQPg6ZMmjR150qh7+hUVnNWvqNCTmpJE+Yb617N/Xbl/3/47IN/njvK8HNJtq5SRIPna2tom+eoCZLdoIoV8DT/jami2ODsqBGlXKCrKK+06rG1CltKnJGypa5XAsR5ZJcgzJHjO+9zvDPZ/sOutjyHg6PD6WJ0+rOogYNiqmxkC5AVmISx7QEZa6ksF+XlDkhITAinJKaGc7OxQIRG3P3nRhaHWlpbU9NS0J/4y+6HzhHSPMI0V6QdzsahtSIXlOEFgA2pbsoi2bVsz9rpVJNYsZ0GmHNKqVjt3thhi20qKofly3bx58rd3Npd0p0ye/EBRv4If5efnEb82JZiZkR7My80NFhbkBwcNHFA0esSIJ5545IFrXAnxCHd3yBOBthYnEKsUn4+SkhC2ui1YK9RgpVHOIloZhLufFEqNTMdD2L6qXeHyeq1fhtUm1qhRQyfmFeQvpAmf4Ll5GFBC+fn5wYED+lvDhw4eN3LksDl/eeTBG+R50S+6cH97JwMlYTpx+Siz1O7drbStzrHVDQZLkHbLmb3UOY4vPNfA7t3xLK11vEmfkl+47wKxMWfdwNfxmUc/6hK52JjzvaW3bMyPfmd9RncQ6EIH605xx9e50knZDMxw3udzAJ00mWPSiA4lLl5i53hqSsqvMtLTEn1erx/p1pecnOTJzc31ZOTkmUNHj2MBaXRw1+49dmZWxv1cE8XuEGwn6HiwKW5ldvqP8nLT2LxZBbdvt3AecFPV1JGGp1atWdMY2rIlZL73Xqjsf/+Le0PWZZg1iwTVGxv2v7fbENFZKclJ3yJoTQCTO5VMEIjs7BxvUb9+3sL+A7w5OTkhVCoWqZD+cNddtxVAvpZIa51UwDlOu56oqjLMLVuUvWuXzYASwFmigTbVoDKpYhGqjrQ8kkJJGSysPS1lzZrVMf6d3OdIh405c5yFs6SE+OS/5+RkxTMFDyQlJaqsrExPUWGRd+CgwWZebl4oOysrlJOX++BDv73nJPrAkQZLhySjosz/ohIytm1TkK6Nw0cQZ4lGnlMVn/sZNKt5ho3BHTssvhsLn3hi05HSCzn9kMW1Su69t7q6eqL0zSNge6Q2i9nkASJHlTOhJ0R+xBvpHyNGoLOXJuICj8cL6ah+ptJL6f1nUn95CTpqhrzE8kMi514s5yEa+YSofRjVxmL574mKY/5vqjPOPMO7j/S2jU3NI86eNvUseYmOIvWaqanBWYGAtXbbNjNq9WpFPjCLfGfB0Nq1/tCaNYHg6tWWZ8ECw1i2zPz2G29sr8W2VZ5dhxXtqPJHOsbAID/bRAq7NTo6ijJtzNU8RlRUNIb/CSo6MVl5ohNUUlo6bq6xVnZmVkJKfMrn5Jrp0516dFR8kIPm0KFD55DX7e2dO00f5OonuWRow4agk69u9WonX51/7VrDN39+6OVf/7r0hbAlg1zb423atGkekeQJgn5BfHzcIJ5b0GN6fG2DSrJKycigbWkqOSPLwyBjQ8Y8x/jvH+XGMth59uzZsxRS+8eePaZ33Trl37zZsjZuDDKYtDKoNDv56tauDXnffttWy5ape6RM9N6dbtJH+NFg0BNd71DqnRQm0A6FgE4LavtB+rARJvJd+/fvF2ehiIn8KPfSP0eAwMdWx+tiJR1SOinbOlaVR4mlA9+Lw8faE5us0geHDRt2PZ/x6HJDmOx4kJZVI6tG9Sj8YiVnDnnKhBGHDh5sL1+5yh5QVDRA7rVu3brOXiDnhVu/vqKhf/+ci4lC9tjWreY5ouvNzBSnAsNZ5W9osKrh8luWLi15zjVBk3J7YSOk4RwW+JJTqPypxJ5ALxvw+Fv9qhUFLXnLlB3wK8OHZ0NQ0qJbKhgKYpEQOl3uXVExqj1Gh1Xn7bfflin951GlPEu7JmPHil2rjT7UFptdFtJMD3ENXiMNz0xZrGqbcBxWTEQHGnAlg7wsZiPnMUTZoWCILMpBdgnAE5KRM1wuQe2FlfmN86ZffPHFcUjzEoFO+oV7Uvs6yAzGyMqyriWFfMa2bZ6zGxpsVCa2PDObbiDXkZ7HEGn4hjfeKMGmVqGmOvIMhfvJha1YJKxEMp/KPV4N16H9vbv0Xeot12JjvkhszOnXa1Gr1Um92TtqU5fK1Sf1DgIfe+JtDyMxdhfQWacjbTzD8QOdE4kQI/45wYkTJ15D9uK7N2/aFKpraDDrINtqgrvs21cBicQqiBjp14sFai2LbanO/8+/8kqb9HZkhay8yObOnWW7+DwXorqcl/gcnAjGer3GXuq0BP3n37HbLe7KC9y+TUf5Lgtq6plnnklk4ey5XTt3ptEmixeVttWpyqpKdJRlysT6IB6JvrGhUe2vrDI4x2hqbEqRso+iRnEICtvVPSNHjpxeW1v7zZIS+1LIalRUlJPXjfzM1tM7dpQ+TlFCur1GCrRL9PGB6dOn31BWVjaTOtuNzU3eBkKHUQ9VgYIWqwYWRFMYaFi0rKo26usbVHNrcxLPOJb6YIPR6eb0jdWryxsHDx58EV6QP9uzx7gab7sBkiS0LV+dWlBVZf1i9+7Sd2SgPBrpyp1csuRzJeZlwyDgfL7L8+ejwwGg0wrKD7OwVQeDVgSKVQyY0zj0YrisI16nfzz2CGjiBWPp1OEOWUJnr0V1MIZjK91OCulaEGse0+8/sLBGavD1ZsX+SgNdr0O4Pq9PBZCWKiurHOIVKVikLabpRnRsXL7zGHFxarck3tGTdciXHwigsvc5PmU/aOvqC3zQRUf4B9IUcgoNHz78QYj3bJJaBmmDt7q6xiElmZJLpuH6BqT5mFjlR/JlULEhZbu6tm6FFM3L7cwEjnAbISkDzMQ8437Z+/Xrl7Jjh1yxq0b+ipQrwh5f5dze2ERnHcrKypqMJP+gH8m9rKzUrq2pU1WJ1U7bomD+gD/gqFJE+oWM7SpMFKqqquuq169vlkrQB45UF6ddop/npB9DwD+vq2sexpgUU1UV3Idtyk65ONLZCQL4e1wuUu+zUk4kGxjIQiHNMNZA5COOMJuLpHh9TQ8Q0MQbBi/8kiGt+OYjHVz+u9/9bgPH/CeffLJ32bJlwcTExIv4LYGFpWD//v29W1ktSiJXOGTsTL9F3SD6UNH38iJbTNXNvXtL1g8fPnrpvfeeevKtt966LPwSHIlcHAmRKom2Qt76EC+uiYQoWSmsXnadNZFCCTQeUwgJXcmnBfl6VqxYgftuuvJF+RziaUXlUF1VrdD9Qo6Wo3qQQYe2PU/9WChbf6T2yCmyOSTFp5C0RZbmGj4x7lcmEwGJyCZ6066UI5cddQvrrD3Lly//eQLzftoX3LJli7eMmQl2u6huvCpkhRz1EDpVpzwGSwvJ1VtaVj7v5WXLmrpoLue2ywwT8Gq3cjKQzJqljK5Iuu418kmfo5s4ZFkMWY6DLGWxb01Ygpf+Eclm06cXcKEQeXEkBehrehcBTbwf4GlL58bgvJ4Ov4kXcQo/zQ3/jA9+7OUQKk4ATcaUKVMw9t+lNm3eAumGRCeKhNuIJBWnkH7RfwaRCGvMXTuKf/DgI4+9wlTvy5QtRO5IUh/cssNv8jILETlbL5OtW6x8ilRIvrO0GQwe0bQrOG7cOO8ORNEtW7dDAKajC+W4EkkQnaOMBCH0vt6dO4tffPaf/5oreIlk2b7QI3yXdgXDvzuiJKQkRBIpmXR2K1kElTrFsLA3sbm52R4yZIhnEyHDttM2FhB5ZuKC3YKZXi2SfIzYKMsz85SWlQV37Sn9Fdca6OSlvl3Z3OclbXJ3UZtIu7paxkH3oZ/I/6J2fhvC/BQ4b5JnddBJXfynHZHvpV/XM6MbxzF3NhdR/bp4a33aERAQyUpvYQTo3M7UjGnjYkg2jw6fgbQbuPD8c/+QlZl5nkxH2T0i1X72s5919INr1q5XK1atUitXr+FztVq0ZKm9au06Y/XaDTe+NX/+S9LxkbDWQ9yyGGULWX3UgIvOmjoEzpwy5Qxsc+9EWrdYHCRwjUd9+tOfdtQna3CPW7d+o9qwaQvmXlvU2nXrLRYLzWXLV77+9oKFn5V2gFekL65cF+m1R4PPwXf8+HH38gyTGDhsdO8Gnng4N8RJO9TmLVvVjp3FaieD57btO9T6jRstnp29buPGb/73v/9dT9sM6QtHu9Ehv0t75Boh/e5ee0hRTC4QmdvbmHOCIwkfemJX/neJHBwWMMiOYzYXHT7Wlcv1OccAgY+cBI5Bm3pcpDgH0ElXoFIYy4r4pagUvpmUlBCqra0zZWGmFG8AUTN885vflMUllZWdozzoef2BkJWTl28MHjJ0B1P2B8IkaxyDDAHMR5Wz01hHPOpGow/Ytnqjo57GmSC/vq5e1dfVGeXlH7RrxoyznEyM4sCxfVexKi3fp5JT0420jMzvEay8ERWD3PdYkWc3mvPBqeEBJXTyyeNnDR086JtIsVZdXb2JOZUjsX/9619X48ePlwVCZ6BctHiZWrp8RbBif7XpD1r3LVjw3mwCHvkiIN0PKtFL32TAZiMQ/A7R9RbRl1LkGN+7+7ylRnZ4MKmjjM0MRo4QIOXLj3r78BHQqoZDMHc7PJ8b7rnnngGZGRkP8t0aNGAAUux6FmnKnJeYaaBioU2NIWAC7sMijogVQwhzLB/T2heYIkqnlqAsEtErxDTPzRDwb1lt5rdISMsgxYyJDS9lflBx4vF6p093jh21TLFtnc5C32OPPfZlQhgWQbwBn3elj2m2ikcf6vXuUnl5eercc89V55xzDm7KYl7mdyQ42r53zZo122VA6W1ykkUodlmMcqVFaSHQdXnKTvqdZy0sEvp5Pd7vZmVmhFAjoB8vV2lYmGB3S4jGQmegFDUDC5h4mdWptPR0IzoqyqiqqvovsTfQOc87KoYfIN+lb84zy8xsI0yek9jzEhHtA3XSkUqZPXt2AD3vCnTwZ3DeS9LPBJTubvK8hGgpb0llZeVM+mM65VRSjhTW223ubvU+dudribeDR06HFFxsyGmdPxDI4UU1cnKyjdGjRuIWutN5aSVFzW5y8qxlSr5hwwa8kzZb27Zt87333nv7Fy5ceLe8INLZKUukDRNj9q1yKwKXDHNfgg5u3ekhWYjiR+eFRRUS/atfFaU+9FBRKsfMGTNUkHfReSc7LaDdD+F6XRQMBG0WDY0J48eqveSjwapB7aNdor9ejRdHMb7JIi3WkJGS7yZ6z7uZitdBTk5d2hXZo6/SNtFlhwcU0Y86OlI+ZYDparskra/NVPoiVDtx7PaY0aMMSKatXaxQSruQ1KU9eK5lqUGDBoUgXQ/Pbs1vf/vbhdII7I5dPXSP2iQXt39m8ozCzyko7RT+DP/e6X2kPWwGKod1DOTxxF8Y4B7r9KKj/HD99dcHwGgx5chCG3W8rfssfpR76J+PjoCWeA/HyJEAcJRIzMjIeAQzJDLdNtu8rOaF550j6REUuk5MxypRMWQ7AWR85OEJIhkytYW3ymdCUOV0bCEnR3pDwu1RhgB5QWUh6sILM3OmTo26ddiwpssKC+3ktDQDcswrxXz4z9/+dtwDhrG1NSwQdSjBhCXV4BlnnHH9vn37pjY1N9lIep7Jp04SO1Zn+i1SYF5eLo4bbaZyQSw0WpqbveiAH4KUHpDpvNg0Hw5bZEfC9bWuvz57+sSJnpkIpWPhRILoqCpsfP8+ZkzZX13ylc9O7iLPLIiaIO6NN974EhI6gXlqzAnjxuDgUamWYqkhJmUi6WKj7BCvEJjoflEd1SPJf5XrWyFl0X33yuY+Mwrz3HVX7jn9+5vYZ6s47Hwrm5vVW5jnvsVvzqByhHYdqAsDyXz613Se4S657sAP3fjikjafm1jwHU1QnoESnEfIXX7rRlH61B4iIOSgt3YIQCwOYbIY9uCAAQPOhXfEvtPEvpMXtlZdfdVn1DWf/6zKyc5U1ZCvTFlL9u4N5WRlGAOLCn4H6c4VPSFFulNmmRraYdLbRycvw/Soyy6c8gL//OfKOuWUvCmjRkW9N26cccvo0Z4BY8bEpA0aFJ9WWBg3avDgqHuefLJ57quv5mRKUzqRpMSKwSoqKpqCSdwffb6o2OrqWqOmto4U6zXq6isuU5dd+knFChvS+xZiDqxRy1esCJUz8OA/sRrS/aawhNg0t4OrR19FvSCk88Uv5t43frx37oQJ5vUTJ3pPGzcu+rThw6MvHD066qmysrz5//lPdv8w+XbYX8FWiFcsMp4nnsRESNeux8FlP8/nsk9drC46/1xHcl/JIuiSpUvV4sVLpG2qZM8ef9nu3Z9gAXWxYBa2huhRm+Ril3RnzMgf+7Of5S0aPdr876mnmt+ZNMn7ddr544kTzTfLyvJfevPNnH7Srk6el1MP6TtCjBLeEUnVtTF3jvWwou9QyOlSdg/L0ZdHgIAG/WDQHNLFm2kM0/nl6PzUokWLRE9ojBoxAlfXHJWbk60G9CtCIotxJChxnAjhg0pcBs+OHcWn5hQULJWFp05eYvEU606GAFlAg7iLUi65JLjywgvNopNOUv7hw2N96emJ1Dxeas8Z9UigdVF79za/WlBQSsR0ueYD4peTwsRvI8m/d/rpU07duXNXcMOG9d6TRo5U+Ui4EtpyYP8Bjpfa/v2SQj4kOutAclKir3zfvnvvvPs330NyF/LuFWlXSFfUC6efnv/L884zIaNQcPhwnyoqiseMStolj4JYkarJV17evGTxYnv6Jz9Z2iJExQ+yOxs6a+IhvB3EBvlbPK8HOEjA9YW+EcOGUlaBIqoa7eqPE0ij2oXqpHj3HvHCs6TNFLP11/f9btjll18uUrxYI/TGhl5f2YMG5Q+eNs1ecv75ZvKwYSo0eHAMedfEIU4mmQRVVs2efftatrz9dszEK67YXs9BR8XSSQWc95RnGI9FzWXo3Z/jOYhp4gEcOrmuw8PhvmCh5z2XE6pRgy0RAtZSb4dwHZODHUoQx+ROx0ehDh507nORLjxit4sDhagaHNMjWeHfg4S7eu06tXHTZlW+r0I8nUJ8ejCzevmRxx9fIs3s7CWmc4vet4kOvpZ7OCvLvASdDn4E3XYkwv79g9/NzDSLoqOtQFSUNwqzKK5JZ89jL+BFz8IBNy6Qn++78L33cs4X0mURrv20GVXF7RbOBMNo1snYHdt4q3mFoHdCRhAri08lag3RXorRWzOtZWCJJgtwrHfz1u3Bd95b8ifqLE3rLWnX0emmphaMJtTvj5KTQ0Gfz+NJSIj1mmaax7bzqHshex4zh0R/drZv4qBB6mvSLurcvl2ExpwnhOkFzy+jBxWJ3hSnCaLD4cq9nxlJqVq/YaOjahg5fJi68PxPqNMnnxpKS001y/btn80lCkcSp3HSwJ5uSK8y6Nnp6dYjVCU5JsYOJCZGk3U4GcbNYS8C93zakOLPyooeMn58853SLu57pHfRln7CM2xgUXcLDiFu3znSNZ02hXKEsA0G1nf5HEnZceHn2+k1+ofeRUCGX70dggCdcLjoCWUKjoSoLr3kUvX8i88r8fMvKiggwEsaMXRFKlN2a0uriTS1avWOndcKsR6pA/Mbpzj53rqUIWDePGdxyWCd6Fy5lCwVZigkGXrlsUWzi9eVl3uK12oM5NFIhDF1Gf+8ikTZnkyc77ywKRCN6GttWeE///zz1QsvvOBYLjQ3i/6zSaF6UFHYKSNVWUzXPZX7q765YMECsW11yJuye7wxoIi3Gm7Y1mVxcaaAQpnEiydXmVIiFSaxx7BLOxsgqXqyKvu/AKk9yIH2kinXGDZuwYmUMRBnCZOBxZ7BKtY///lPtXnrVqdtotuVuBrR0ThLYGEC4fhKyvctWrFy1UPhdrUvk1tEvIGRsuLjC0dFR4fO9Hhw1bA9RA8VL0B5VqnsiXxvwYkj4DPNBisurvXzjz+eM8swyirC3UfAOGyTgVP6DoP6YlRVYkedxTFRXTkYHHbBkQ9wmXNdA1LvemZv4iz0Rm8+4yPfXv8a0Yh5osOGVLGbRRiCptSTDaJcjcSa4bqvXcd0vEAV72mTeJctX+V4eIVsI9DU0npJ+fbt+8JmYkeVCuUlQpp+n/2MI2DJC6UglaIU1u0GEP2K+ijsiG3MoIQnhGybwrt8twxec84xTuIf2Q4jE5Fk3QUmFtfUCNQnX/rSlxxCWrt+g1pM/MJF6D/fW7RY4gl7Kqtr75w7f/5sXkiv1Lmt2F79WyBpcyQlUEMD9Eq2YXFuw1Obz4DznbGNPmqYnDeotbUoUTARgjq0FgwU4lXIYlqFQjevrr76atQllrNguHTFSrVi5Wq1dNkya8XqNcbmbduWLl6y9BL08820S4iuQ7I79B5d+N95n/BQnkIsdQ91tuB8p30I1uHbyK2IBmSYtMFkUDWTsrM9A+VXVC9HfR/FxpzBxTVNVOE+J5d3a5MBS8iXQWgZ37PCRO6Qe7cK0idHhICWeA+GzX0B50K8s4ScJIKVuNES2EV97WtfQ7VQReaEZpm6hvjNqK6t3ZRdXV2KzWuXJELp8CJZSIYAVpXHYKM5imPrwhKIe3+nVrLosmhRlMTjbYVPWCCySaoYIgNFM6qAGjznRN0q72ojkl0T6XVCNtls68JNEnJyy3M+GVCwgGhtxUTMJw4gmFcZmFSpG2+80WmjtIuVc3GhNSVqFwPD384880wTnbVbTrjonn0g7ToLULNnGwTkUViIyG7hmNKKNUW9Sk0VbYJIv6LGbISUJQAReYdrD7uv1MuxTGAxVAKIp+ACbWHm58FNWN10002O+djOnTudZyaB3HmOPiD4z9x58/fJIqjYyR5Was8OEMfYimps9DjpjqqrJVxkkHCRTcyUaii5bVAxjEYHawmTyaAjz+qom9t3WGjbRN8ZibQ6WMwUO+o7Ry0sfIIMqHffffcipN5pHJrT1ev0eT1DQBPvwfiJlGhiXjQfj7V5ENR0pud+OnaUmCMxpXXchIlbYKNTdEyxsAG988UXXwzIIg/XdkkqDEtZIrpJGMoLyRCwmWsPWrRCVSDTVuqztS4qKu8VVJJf3bPHQk8bMn2+Fkeay8lpYmBAQWj5kYJbqI9tEP/1TWkSagphZLc+8umhXbto1xwI6vN43/mRnKKEaDGbc5wmaKuQbQCp2Ldx48Z5f/rTnzYySHSqs5b7dHeTweTll5UhU3KqtyIhwfMl1ObgauHS64f061RBgR/PQCHfANJis1VTE2SwMbatX19c38F0XE4MMlb8BVO4e2hjiGeDnthWEK2aMGGCkkVSUR2hZjHFkYIB5zmuMcBCnnevbYMHKw8ZKYI1Nd4N6HaxH1ZmZqZFW/zMKuqd2BfJyVEEVpKFS2JgVPkZ8OwQ5t81UglU7Ecd4JBwD5gmMticg9PIDi51n7MU0+XNJfLvfe9720QIEBtzjvUo31uXb/4xP1ETb8cdQKKUfQXJ6A2cCgbyKTFqcT+tQ3rZJ9KJBED3Iv0+hN3oPyKwbYUXHB1bJR3ezRCwUCRhkUDC5BKaOTN71AUXmJ/E7n/Y/ffbLHYpE86HaIPoYy286FohXhjEsNBb2uaGDVbLqlXmX6VJEO+hL6O81CaSza3U/XSIdwDT86BIuWLbKioVUUVATj7a2Mw0/NucL8R01Okv53RpE9JtI1xFyqDcCUzFC/78Z5tYEIrFJ9GPByEkC+nWT6Q3A4KyIMxgqLraiNqwwX4KSTk4a5aj+G0/SEkdDST0PzKgXEc7hoBtAKI1RecLEUsENgcLVBFepOHf4ASy2sW6SxXvwknhtonOB0nbaHj6aat62zapFmlKfCEjFELPXBdEmjcJ1GPRzkCIjNLm2rX2hh//uD9S6y4477BndtidXbKkn+xjtlSxffv2iRx7P9L2tCdyBIrzIPKt3PTQvnNYPfSBniHQpSlOz25xXF7tSIuskA9EIvwjHfsTSBdOkBUIGYIwmniZ57Do9KVIO7ygIuRLhgCmpY1XIrG9KBkCxI5YrCK+8IW8O047TX0X+0/fsGGmuuMOS913X1BhE6qGD2e9P0+kRGVh1QZRG15UDOT9Cl0/Z04pOtkDBHco+O3b9Sz3PFksAETtQHukXTIl34JzyHV44c3jYuf8QwuJ5H+3TmefnTVw6lTfH0ePVp847TRDPfqore6801LYJ6NzbmtXerqSQcaScaC11fSRBmnJkiU2mSFKWyBuGUAOlQwPtIvB5J88o3F45IFPiqMqkmcmMxYGzj9gHvjt8EAp5HJoOZE07YDd7g035F1Ju75/8snqpHfeUZ4f/cj2jB1r0i4bKV4yihgMKMom0BsWiDZhQ02TPHPnP/XUntdc87puVMAxTeS5fYaB9F8QcWP42m63ye3DSLwzmPG0oL4gY0bvLaZ2o00fm1M18Xb+qA+QDlPSCUiC4yBKmcJWM0VfQkcfiYS1BrLcIwTKFnGHx4tIAq/3p8O/KNWZNi3/l9h//vjkk0PW0KE+CycJODLWvOuuJvWb39SiDrBRD5gs9hmOqqGlxS6vrLR/uGJFyZ+68AK77fKQ6eLTDCwzuKWJtCsLK/OR8F/l/3o5xt5bko9j2zp2bFH/qVODb5x9tjmQabk1cGA01iEx5qxZfgaVekd6Lyw0sZc2IE2DqbliOm4vWLky+AUk2Z0ueVOvjjanvuhwY5ihfIMTPgloI2hXLc9rFeT0GFL+62FCkWfV7efV0U3dOl16ad4DqPm/Bemq/v09xPGIUj/7WVDde28T7smmGjzYoF0yWIokb6D/tZll2N98/fWSh7rwzA67tdvn0PNOpG+m/eQnP3mth2RpELUsilnB1eD2T/TIDeGb9gpOhzVAH9AIHAEBeZk7HJzEb55Of5X8Li/BEco44k/haw3Ku3ru3LkZnDzs058usB5+OC/w9tuF6DdHoJucaodCF3Pqp+wtW6bajzwyOPSd7xRY06fnzc3MzLsG+9BMuYm8wEe82Qc/Srs63eQF7vTHCH4QcuIyz+mn5777q18V2P/5T35rcfEg2nUy+9m060L73Xcn2zfdNNA677x8a9KkvL39++fNKSrK/wLXudi6n0eqwUH1xkMvkZMPqNN6u10u3sOH5193442FJDTN869e3S/U0jKKdmHYYJ9tv/DCKfZll/W3R47Ms0eNymsdPjxv98iR+S9mZuZOlYa4ZRypUZ39Jn1Hdvrh1SyQ5ch58n9n5x/puHudxOtlv6gnZR3pPvq3NgQO6qgalMMQcKejgpO8wLITResKj1gl8L05nCHA7uFLLTbD77LoM6GwMOdbkreLsllo8uDFRQByI4Hvaehf05GcctR116VZ993nI+qVvb6iouQvXm9ZRTelJmmX3EOI2mlXeHFQ/jeQ5ntL0qU4hbebslJScqYmJJiTEayRY03W8aRdYtOaQbuy1eTJ/dRvf5tn/fe/scbzz6vtO3eWXLF7996nxHxM6sTeFcnLbZe0yURlUs9nUJ4Xn47LNJ+9tuGkwv1GRiUkWN9jt5BkzdjYKBon2S4zIME8dcklQ7Ap7m+/914Cn6ph4kT79PXr915SUVG6QAYk8d7rSYVkpoV64H1ULA6RR1qWlCPkSzmrmSUko3bIc49FWqa+rnMENPF2jk37X+SFhjCcPYQO1nnBmZJJhoAJkG4UZNUVYmhfpvNdOreQ9n333beLgC2tiYlJl5MMAl2r4SHZBZ9SrMVLbEG+srBmo2rACyDkZLA9jR+92PlG8gJLwfLSO+0KR+WS/yNqB9d1tjmDSFSUOV0ENFStLCwZ2BPLYdnJymySigfHkGDQiyrH5Dc16b77CgazyIgLgiMtd6dOcq60ySVh1327RwRHeYdujldhXFztCGxyB4Qw6Pb7nazJPCvhfRlYYmgXCt1QjJGU5EO14kkjJPAIIVx2+kzPVDlu3wkLAcGwaaJDoIdWtqv/hwfdBaigekTkXb3fx/U8TbyRPXnp3L2WIcAl7QsuuOD96ur6ZhzmxAbUrqwMYbkgUbXqeYkrqel+SKoGHWELdrsWDgeGOyB0h5gia3EPrwKuQrFXlbaJ7WpFRVBMxSi1lr2aNtVhVdEMSYVs8oT6WFxL4wcGuTbpn++RbILLMcXG41ExDBTi3MLzkOcWwi5XbHVlrauedjWyi7FDCMsYAztrNUQId/r0npEuBTqb23cg4XdECMA00ef+1t1PV8Jl3aIYoUJmc2Jj3iMi724dPi7na+KN8Em7HbK3MgRQDQ85wlobGprW7NkTsrCCskpKQmrnzha1dWsti0zlSIolkHAF5lYNdnFxiF3VhKsvomNf3zbiBGETb51FJYvYEK1YYdRhaVAB2ZYgyZcj3dfhIBIwsFeuJYjYVmkQKhQZXPrsxgDhOEDga4OpoY0TSAA7YXH6kIGSxrLbdg3OH61GSYnFbtf1cmMcYmRhtpI+uRfb8y5HvuuoHpQhh/kwJOnrKczGxJNFb72MgMyJ9NYDBHorQwBVcHp8QkLcP/bv919KGrBQbKxMw/0QbgivtRYsAMTVNARBBcRDzSAUwRNS9VmznOl4XyUop15YdL1BiAgDBwOm3TbZmInqFmqEkPyObas4FbS0BEINDZZnyxZjyeOP76mSKXlXbFt78Ph6cqnTLp7HdtRCNTgBJmVk2OSrQw9kNPGMxDFF4kOIza7frqsLGBs2hFq3bDHnyk3nzeu9AYUbOuSLaeJCMU2ELNcgCSN/d1k33h4HpyzKrMXGfAfmaqcJCXOQj+5b7rQvWH//AAEt8X6ARbe/SUeUDtlLGQJEL2ki9c5BZ/j25s1B39q1RmDjRttavz5or1nTyt5irVvn9xN10vfWW6FFP//50DlCTkxd5dre3CRdjUdSComeVe7Rg8KFoDyYqa1EgnoG21UPHlqtJOywN24M4q3VolaubCL+b0uIdhrvvquM5cuNO+V+JIs4FpK8k/lB2kTbelK+qDDEG7CCweHx8nIPDizKv3WrZW/eHKBdzbSrXq1Y0Ug7Wvw4iZgrVxpzfvObkt2CbU/1u4JP+01iNuAiTSB8WwIwiX5W+mb7U7r83e3XmOC9TxkDUDkkc0yu7wleXb7/x+FEDWQPnzIdkz5p2LIKzILEdAz1nxFvIDkWQdFCcDb2tflECnsuOtp3an5+FM4SFn7+xO2KFdtWQ6a0KzdtCn5648byXUi7Rm++xJ1ZR/AOO3Xj/YukXdLPjDFjsmMrKrwvsNB2dlaWRbxcAlpmKSR5SWUutq2ihrC/+cILJUQNcwaU3pTiD+Sra/9cZGDhf1I0Rd6ukSMz46qrvc/jqXx2bq5FLF5lkZzExn8DvbUsfpq4Blvbli2LPv3yy3dUyP17+5lB5rh2X4FqZo59zz13zPR669//znfu2u72T7lndzb3OtHz8l0yVbzkHutOOfrcjhHQqoaOcenyUSHYcIcsoZO6GQJWRthJhWjwaNq75zvf+c7F77+/+EE8yIrKy41hOJaRJl7tJHHu3/Ht/4NSeyUouBBar5GTSICUGSKoeOx3vhM6hXQ1w9FhVpHrcolhlBYLKBESokPWq1eXN+KMcgmOET8npsTnKiqMHHF5lsxJjDdLa2uNX27fXvJKhPeQ6nW2yaBhSa4zyVf37W83DILsIaqEbZIuSS6K8J5Ou9avr2iQdhEg7T707l+pqjKjhHTlHlij4L5s/X3lysD3m5pKyknRJ88sksFLqnnY5g6UPDe2Oc7v558//vURI8omMtZtnzPnSml7ty062vXrdTj4jKJvF3GsOMJ+7dRL//kAAU28H2AR8TdhKzYDd9u3cU+9DB3bZo7Jkn0kmyV2p7/5zW/2Y7b2O6bozUjQ2+vrcz11deurpEC5XVgC7S3Slem3NMP6ylfyvj5pkvXdkSPFu8wUF1csKFTjnj25/3z33eD3r7yyoixM0N0lDznfwHusic9bBw9O+3ljY/QQUr4R98Ku9ftLNknbIiRAubTDzS1v2rTMnE98IurWESOaLsvNNfvJDOL885t3tbbm/+vtt/33fvnLTrsi0Sm3b9c3yNB8P1HUSD9ks+xmh+rqrPf8/rIN4cr1Kum6A+W112ZPnzy5LV8dcYGMmJhr6nbvHlmdmvp/u6+88v41zz57hefKKyPPsIFdrwRzmk6/foZ2dPe5d/hc9EGNQK8gQKcUyYK4A3dORkL4hHx3j8n3bm7yghqELUzGi+hLdHrHREheNIKIy2DpMH03y+z0dCEn+fG88/IeuP/+Anv+/Hx7z55+ZMIdGrDtkUHbHk4VBmLelrf17bfzCqUe7M41nRba+Q9Sd5neH7RJmSK9HXSw5/8IkaqpU4sG3nxz3taXXipAr1xoNzYOoD0SSwdTYXsAC5V5Wxcvzhoot+thuzrEJIxvrz4zF6uZM/Pu+MMf8u2lSwt4PuhueE5teyEWJIVbVq7MHtCTdlGYU2/xZhOvtrayIvOOk2v11oZAhx1Fg9N9BFhFllgHBlNZSZ2dA+lKhgDnWPdL4/2HAbCYqMWech1kPl3KmDXrNkMidPG116QOeYFF3zhgQP7lxEn4FmEMA/HxHistLZ6+kcniWgFkmM/9Uv1pabGD+ve3Hm0T8KVGEW1Sd5n6ygstRCu7EKTdUy8uymm/yeAAjIOTEhMD/x00yBiENYU/NVVSGqVSh1zcevOcdqWnxw4qKvK+8OST2Sg+HGwjIUlpl6Mq4lMGR3d3I7LJ772yueqFSZNyvzdkiOdH/frZwZQUTzA5OQFc09mz5TNIvIjBhYWeN194IStbbuwOsN2phDubYyY3n5gX44jnEB0+1p1i9LmHIKCJ9xBAevrvscgQQIfP7CGRd9oscl0KIZjkf/xhQoLNIpOBy6uPmL/CQWnoH3L4zIXE0rHnjA6R/+y8hQtzThG1hKzOd1rw0X+Q+woBy95bKpMDd3Xz1RUWNn85Pd0zBD1ywOdz89WlQay5LOgV8Ek0GxUfoF0njRplfk4GAKw5etIuaYsMju7e221zvBRjYvIKCZ15W1JSKMRiJXnmYrweTwr1zmV38tVB/CmBtLToAcOHe74nz2vWrIhmKTZ9T7Ic1zOKbcLSYQptk2OaOw70tu5/0eB1H7NOr4C0nA4pGQLkJCTVwT2Qep37yPVIvW6GgE7vHeEPhki7cXFFSETGMAlViDuviesrNrbSNYR/RMsRBQFHy3dCGppIiup8/iHMYe+qPKTM3tqmT28jc2L6XizrnyzoGcGgiaOGCKJwrZPbTQYX2TEXUaZNurbL+Ue518r37m6MJtytLXjNoZ+UxX16tkm+OikhKcn6TEyMiR5Z8TxMjslzimVPZE8J70xdLI8syl757W8PjuasIATc7c3twzKbw7MwD/f2NDlGQRGU1u3bn5AXaOLt5cfKQpgzpUQyWAhhTiKwtLBXRJtL5JIhgAKC4QwBvM+9pmNznn9MTKgfhJtAnHcM/W1D0vDU1Pi5ZSN7LXsdu6yJiZuvbdTVGQP5p09vDCjOcyBLfTJx3sWll3rbOGyIICqGDNI22VvYg6KWMIgfkc4/sjnXtn09+l+XYOVMmMgxJZRnd+jOz065zvkRkhaqJmdjYjKSuBfkmaMVNINFPPQq0jZ5btK+ALuNVG8Ti9iXTWzpQbSRgSciqZeylArP5pZiMjlN/hdJWD711n0EZPjXWy8i4JIlEsHxkCGAUIaKSGtmcUNDqIEkFAnYCNtpaUEjMbERrzkDr7ImYg3IC9uEG2yz2Nni1mtv70XIjklR6EHNG25Qxmc/qwgSL/nqxEY4pHbvbsYeuga7aEmqKWOi5JlrlBgLNu0X5uryJgTqkqtc5Ayy1dUJpDpOMS0rmpzpVkAMr4l8znn1TY2NDVd+61sNco2c7wygiKBC1vJ/VzfR8S5cKDEvFIOktE3y1fmJ9VvPLETa1MAu5NtA/IggcTGUx+8fClm+tZ51Ao7fzt69Teocbq/kextDGNNBBOfZ5mLQvdL02Zp4j0EfcKdhmJctlAwBSAZrOSbilUgI3XrJpMNzPQs0t+9D4t1Dam/xxe+NDAEi7YptK9vuktTU3I27d5unZGXZpF0PEXmrBRfeEC9yI0SFTBgM8BL7jZ07bWPTJu9/5aqHHupeW+SaD2NzF59YrIPzjPllZcZ47IZtQjdiM9yKGqWWfGzNTnohsgTRrhbCcloGOU2hMyXuvMJeRyRhHiKPoY1An3rkkdx4j6c/4nQu6tY4KMrHgyaop0Fyd58jZpIC2sKjzP/GI49IIP3dwVBoN9fXyv26QV4mgdaJtiZ1s1+Fz7+6e7ekPXLz1dUj/QoBexk0nSBETruIi7GmpaX/dvrPKajBlnbjflK9wzaaIgtt59Ivd/Bjt/rzYYV9TA9o4j1GD57OLW9mE3reDawIn85t3AwB3e6oLpFD4u9KhgBeoLXhDAHdJvJwcx3SHTYsPXHmzOjrJ05Ul5OCZugvfiGxBiAMj0xPg870NSXFT1ogEe2sQFOTGbVyZei1e+8tWxq2j5WFsT61ufWaOTN/zIwZ9lVMx0+94w7bxp33QL66piYL7z8/qZxgR0RT8mCaW7bYQZIpPyaNgXg7XRBzSQvg7admzy6IYaXfGwploAFnVm8HvQDFp8z3HcKVD2FxflVWKOTBfCM7hDmF1zTHvTF79i6IeQ39pMYh8iOTmPPMli1T1g9+kDcZz7hR995rBXFF9oqttWmGeGYtTgLNpCQDjzkb++tgsK7OjCKv2ws+3/dfDwZ/+WXIcj33a5YqdXfjOkcI+PGPf1xOvy6Pi4ubwLEeE3l363EinK+J9xg9Remk8pJS/FKmZjMlQwC6WpwP2qan3b0t1wmRt2JLuZIFjjO5/pVwWd0qKkxM1tSpWQNPPdX3yimnGMOHDDHUhRd6kJYk/1kr+lCDvG6GM4UlHRvJGhXxf82o4mJr26ZN5tdEVzhrVrdu+6Gc7Lbtc5/L/cFpp9m3jRtnxkiOOjzK1He/G3AW10QnKvpQpEQk+7Z8dVVVBlHgrG/84x9lG9wyOqqw++zIvhwT29o6yWcYg6JDIRvSDUjgYA/k6pFnzoNyyLZdIRhFy+9i4BbgOj/MbkK+Q3Az7/faY4+tNL761bXtTj/oq1unc87JLZoyxXxwzBh1seSr49moG28Mye2cNjY2hlArhJDsFUHZFQOKGYVr+ZalS9N/v2SJYaEe2EDuQBEC3BRInQ4wB1Wg3T+uEID0/g4pliQgz0buH9Fsrl2xH7uvQgx6O0YIuC8qHX4AC20nIyk85x6L5JZyLYt3Bi/PTDr7PKTekm6WJ4tIvKhFKZdeGlh00UWeISNH2oFhw2I96ekJCGNx6u9/b1J33bWfOMAhIogZdna2QcZl1Qh5/XP58sD3laooo+6RStqRNLtL17jqhSlTcn90/vneO045xbKHD/eGiorikOBjzSef9BMfoZqQmiH0uybxLyTxpIGUaJeT1+2o+epcnJ988sksAvCeCdkms7dEUTukXEPEUSFbl3Ddz/aVd6cH8ik711hBMTswjKiAaW6vSkqaLwtYh0i/CNDKHjw4r2DGDDXv3HPNgUOGiN11tJ2cHOt5+umguuWWWod4JV+dJEGVTMaMAxL3eMGGDZ5riouLtyNME6tijklW4qtQgb0hqiu3Te3r2JXv7nVIvRM5P5WQlP+DgEUd1m0i78r9TsRztMR7DJ8q76MzNZMMAXizjZWAIxxb53bcbt7auP76673EBAihX1uInu0MOjtexXOEBN13+ohFhm1bgwMHBm/NyhLbVssfE0OimgRyDTkpeFLV1Veb6rLLUtXatXuJhNZk/Otf9s0vvGD9S6m2WA3cwJnyHvFG3fxRXtpwuWo6X+axs1ndeJEd29aUlPwxxEj4ZUpKKBgb6zGTkmKxbU1DyExVX/xiFC7CVeqNN0qtlSsbDVQm7y9dasyuqLBeIWbuEVMnuc/rT3/4Q050a+s5EK43gek62ltk3A8I1yVbOeZu6HYNMY7Gk8aAoCmKjKlIvmHyNX2ioJAVPtselFVb62WB7i0D8nWvR9rl2Sh16qnqUYh1YFyc7U9OjolKSkqGXFPV5z8fqyZOrFVI6/by5U0sstkVGzZY87ndC8XFe/9KORSPrRzkbRhXhiDLxaisROr9twzi4d/56Pom/ZpNrpXZ3Ofp29mifpBj8lvXS/r4ning6e3YIuB0bjp8Ore5kASMz+AKjD1ltzroYWQHWZ2Tk9N/6ze+8eWdc+fe5p0x4/YjLgZJE3n5uK3yDBmSu/yss8yTJk1S1ujR0Z7Ro9PQ4yIqqQzHftfjqeR7MeVVenftavlp//5lv/zd71T0TTc5tkq9+mKFU60fIBqpp7uJlYBIgO7/nX2KGzVmVkHiJNwxdar5ozPOsIInneTzjhuXjEohh3ZnQ1LRTpYLFhJp1z5vVVXTc+nppVdg46o+/Wnl6cxrziWTv/zlL+kxfv8FCeQmQsoNifuWPBSReIVwXbJ1yZeB0VE5pEZHt0LQuF7bdgs63mbbjg4alicEH0t7pHGyA6qFOiK2lUA0VcnJb4GLdSW3YH0wFBeXO2HSJHPZJz5hh8aM8XjGj48nw3QWV+XQLsnHJyZxeymvxCwvb9icn186DDM6Z1QIm48595IBTgYzyPLTzMDWi7252z4K6NbmXkdZA2nrhJ7O5rp18xPgZC3xHvuHKO8cr6lRSSd1MwQsdF+CLtzeIV2JGHbeOWd9MT8v95LsrMx0yvOtXrGw/Je3/ehHkO7KLpAUl8j7XYCvU6hQ7HFJsWNKuhpMySBeWQ9qgZxMiMoPQ1tYMvAql6iB/GCiVwzzQxdq3MVTwriELjrrrPyho0denJmePj4xKUFFeb0rKkoqXoZ097ov+JGKhHQdYqF9E1EdYGusDNLsODprWfEXapNA6xAEA4shqlh0umrGZz9blPq3vxXXYFInYSE73vjhtmefjYquqzsjnmRqEG2gI9IVwnVJlzUtMyM+3h/DuQv27OpXa6t+nqjohNSY6JJsw7MtJTq6rtkw4oM0zr2p8CRWECJF90utqnIsV647+WRTLVsG8aoJyL026h67FSsxAq/zjBxeh1xFrWDSLg/ehkjSIc/QP/+5aMIXvlC86plnxPbWeW7ObZBwbYgXa5WWhehoz6PPbOUHBzu3Hl39pDPZ0ocJF7mdfj2aBd9hHIuYyLt63xPlPHmp9XaMEZBOKgTCKvBCvg+kwybxAshL19nr7tZIng9S6eiB06ZOeXfI4IF/HDZ08IWDBw08ddLEkyeMHT3ygujomGX/eubpHzq6QckUeZStXz+PxcsbErvWykqb1f2g2ru3BZKq4cp9zm4Y1bzIzVhHWZIjTF7MiF5Orut0E0lXcLnggvNuGnrSiHVDBw/648gRQ68/acTw60cMH/7H8RPHrXvqsYdvknNkUOm0oLYfHAJjoIiRmL6yV1W15atraGifr64avXWTk9EDZxEXe+fajsp3SB9hdHh19SmQbTq739Xntpd0XdKVTwvS7Z+a0bxix46MX737zs0rm5ruCqSn3BhblPeVYG7WT/ZkJP96vR28KCYUcvTDsKazECfXUiGTxblmn9c74r9PPFE4e9mygNSLenjJV+e0y81XV1/fxC+17FWQbw3tEntkyfdmY9EQhPM/IFy+O5tgKWRJ3xP9blnYNNE55p7Tnc9wH5b6LWAwn9STfG/due+JcO5RX9QToZF9oQ2iT+tmhgCHGJKTk1MQcP9bWFgwTqK9JCclEy8hK5Sbk2NddMH5LMSIk0PynX/70+yv82IRP6FTkhKCMUkhXwtBbS4pMcjppizyu5H7rFlt3FiNdLuPl7sMQq4ib1iz2rbNsW3d0dv4ueqFUyZM+FFhft5vkeKTU1OSgxlp6UF02MHCgvzgwAEDkkeOGvnbP8/+wy9lUDlCu6R6DjEjP67Yt8+waRe7hVTbqrZsqWWlfx9SYgl7BZYa9dbevSF77161SaRdrnEC9BzaRod0IapHH300GyuEodFoCpgemkikB6kX2pMuZmJGRlKS/7WVy3KfWrn8Z7HpaafTFl8+kez7FRZYQwYNtAcPHZKVPnTwV9Z61Vd9wWCLjD7yErrlON9tO+SzrPGQpPA7pGo2M5gQUlMZOLCQr87PM6vnWVVAtqUMkpKvrhYHET/PzQ5s2aIq5ToyfRw2qECWMoiSEdm/kM/B3COhi0KAFHnoBky24eZ7q66unuiS+6En6v8PRkCrGg7G45j9Jx0+/DKvYZFtJJYO/eiku9wX/NAbT5s2zUPK9RA64Z+kpaYOQQpiIYxFleQklZOdozIw5PREx6sZ086wlixdFhrQv9/93/3ud1+EpErCUk1HUqq810Fmp3+orDQmk1bI7/PZWEIFHHVDeXmrY9vKe48pkmWQ96157VrPX6Ru8+b1mtTLQticUFZW1pjExIRfJiYkBGMIAJGUmOTNys5SqFRUVGycaq6vs8rJipmTk/ujB+676x+0aw1YQZJtutFD8HIIBiuM53ELvhHiIQIZjGoGsFqwGEhaMb2SqbnkPwuEqqsN8rqZz1KGPWuWw3mHYSUEIvdINM3RXggVIlSQ5MEEye/tCZPyDXxNQo8uWPCNoiEDM1MSEgO00ZeZkWEWFRVShyTu32LH7a8MBYKBczdu3r5pvDd6XkUgwG1MUcuKEp47Yw9smpmT8vP7c2gzufbebGi0GrdvVzEpKXhn+NASW82YxQUcCwaeoeR1C0q+Op7p6p/9rHQzi3JIth0/M3CU+zShIljbUxtzqa1UW2ZzYmNO3xNnoXo5xn4Y8XNMbyAgL6LePlwEpDO+i2XCaXw6Um1Ht58+fbojmbAsf5V0bssmugsvPkGpVUxsDKSbwBTPUKecdpo8Q7uuviFmzIjB50tZ0zt/rmhtnbxuz5LJ4vXiYnGIUDgOWEESMYbWrvXLHlyzJmS+/77hef999f3HHtu7R0y1OnuJ5X7d2RhQnD4XFRX1dcziaBEVYvNFRZGxIUHFJqYoT1S8SkhNN+NJT5GRkU5g77j/k3vMmzers/4qnOUhc8dc9Lj/IK+bb80a5YeEQhs2BG3y1NmrV7eGJF/dunVG1JtvWmtfftmaHSYnufagTQZDOcDUORlzgFzR67oqBiFad2tPuq2iYsjIbr7vlVfG1gf8w2OjozGwVT50qYqZikpNz1DRiekqKT0bT7NkMykh0W6I8n2yvqUlKppIPlKmW55TPqMfLseiljK3bt27Bwr7HXndJF9dYNMm29q4MYDlSYtatarZZpd8dYrnRb46+06ut4+Ur86hdtqIrncV0Kehn81zBQPn3t38I0QusznUDStp71S5vxzTW+cIdNaRO79C/xIxAm6HJzlmMYU0Y4YzWo7Jy3VIoRDd7dagQYM+gZicjaG63driN1uaW1g4asLFtUGFWon8grurv7lJjR41Uq1dt96ura2fKOXMO6SwQ/61RZLmtp+SNELFxYZ3yRKP9913Dc977xme+fNN72uvGU2vvRb6v2eeKX3AtY89pIyI/5V7hy8eh/OA8gcCRivuZX5/K4s+KJ8DEmPAFl0pU+iQESD9BZZQY+Sa6dNnudeGizjoQ8jLTE0NfjUQCL24a5cZtWSJ6VlMdOQlS2xj8WLleecdM+rVV+2Vb73lvXTZMicThhTQKUMke739IV2WrDAB40R3l4cl39tveKWZUXl5TYu2bRvHM5O6OzpXaSPuwRJCrO10hhqUC5iXWfgTm9nVQX9anMcTEKn6QCegU4jUSzlZo5KSUrjQiI72/YIyX5PBctkyw1y+XJFM07ZXrLAMvNk88+aZ3nnzrO/++c9l/+rqM5M+RpnvU8cz2yoX2V+3X//kJz9ZSQmJOPnku8ciK/HEv0qrGj7kZ0yHlDsaSBpvI51dQmDpTTfeeKOfl8Cpiav/ZEHtDHJe/nMzgRHq6upVPasrNbU1LIZVoA6IU8FAUEXHREHC9SoqOgpJ2KPmS+QUtnnz5jmfnfwRonFT8HyWezxGNLKLCbYyAWG6md+WVFTYT/v9B6arRyK7Tm5x1MN4woViGhlEGgitVUcbqqqqVWlZmSPRJyYlqpbmZrUfXbMMMk1878LmEKjkP+PcS2nX5wnmczXtGk8sXgRstRYOf2HHDu/DSu1q4ZxOp+JCGnK/KAY9XhDrUJKV39qTMDEnTe5X/58//WlK876KGU1JCRbJSk1pWy2rePuphKgZ0tIDKgQRV+Eq11DfYDe3tESXNzan9UtJq2AkFH3uAYLHtEzsfb1pYg/HCtpOFNbU60Luc1NZmX0tRY5CBWHQtmaqu4p0Q7/ZsaNkTldJ1yVGPnegcjiphzbmAomz0a/f44tIvaLK0VsnCGji7QSYY3jYkXCRemuReLcjwZ5O53+L94wPwx6JKxn3jkalMJuXLH7Lli2hiv37PRnpaSoOH1efL0qxiKNqqmscwvW3+rFIaDCYphveqBhitJhIhm9bmFgdaXPIlxMMpudv8Sn7QVtYvdDbpGvQPt/69esRdAPFNbW146ura+wEVAqxMQSJoO5NjU0qLj7OIag6FLYQFyltYGC2WUc3+HfbhaXG3qe55OnMzMyExsY4b23trhopQ8Y9BFIRLi35v7NNMi1gcZBCgeL/cGABTM5vT8QMnkYyC2oL580rXPzee9/JSoiP2UGda2pqDCHbCpxTsDxxJODkffhfc3NpVyXkW1td0zQ8Jn5/IGB5sWaQHnBQpfjfppKZ7erIwuDe+1GR/O7hh/NPwmQupqoqiClK+U45pzPVSbvrD/pKs5z/UTm8w/rBxdiXb+aAqKO6vUnfdVqAHTI26+Mg8pM4tkZmcyJZd7vAE/wCTbwfwQOWjiidlNQ+iyGVmeJcQSetRP/p5TdZUDudRY/h6EBDqBs8y5hXpuKS5UEkZYrKCnazqtxfSaQtn5Aw9p0BY8fOXbWFhfmv3nXvvad/7zvf6YqdsJCU7MIj8gY6L4cE2ha72M4cCjgv0s0hOyHdz33uc0lrV6/eWoHYVla+D6ktCtMCiakQQKqvxaY4xmHHFlQsSPRG8e69/wzf9KiEyXnSJtmkXXZFhSMBO6Q0b57TNhlMOiWCMHnYhSkpCWYwGMPK40ES7wF1gNyBDTWCmZSc7H/7rbcuTfR6Y4YkJwffIYc97VKxzExYFHXshxuZsYjOGi2D8re0WrUNDWbV/sriQaMLKqsD/lg82Cw/5Un5UnHZnU6CUwVfGTDaFrH4KpI6bdi7Wo7LBpfj7OYebzvWxb8uWdYg9RYPGDBgMvfB661NCOhiGQdO41r57s7mPgXpbqI/OyZxB07SXxwENPF+hB0BF+AAksFypt1nUI3nkWbkfQtCRJfxMtkNGGVOPGUi5kN71MbNW+RFdMiJaSwvcZyKhrAgXovpuGf37t0/+c//3vjnnb/4xTVkCNhwyy23VFGWvAkuEfG1w02I6MAmpHvgn9774hDmSSedlD3plAnf7VeY/7nTJ03Imf3EX9TmLVs9Pq/PIafmlmZVRXpeFmjEfAHVYzBq567ites3bflrmAwOqutRquee67BBeHGwy21DDWAkSEDiI2xiPhbr84Uaaxs8tTU1w6PS0uz+CQnmiLQ0tWZvCc8n2pFw0dFjE11H5LdYxWIput+gWUZu+5GxCS/Hx8Za1S1oPiDo9psjZvNsUTnEi32s9BV+l2cp7ZJ6ubsrKLvt5aeuby6hI/W+D+5X0x9XcayOEqT8o/WdQ2/kEnktRL6DAfQ0ToiYyA8t/ET6X14IvX0ECEiHFzJB5bCO23uRDgZj0N567rnn3IqN7jfq6mqt+ro6rz/gVzNnznTMrNat36BWrFytVq5arVatXqMWL11mrVi12lyzdv3PId0/UI7hiYp6v49lCHBId9iwYf2HDhq4cNCAfrcUFhTkDB0yWN1x+09VP8ysli5foWiD2rBpi9q6dZuxZes2k4EmasnylRvXbdx86erVqxvBKxIikCcr5NFdAlGYjznRy6WAzjaJw5CQltbyp788dqW/tTXbj/4WwjavGDZM5SLtrt22TW3euk0xG8GmeJfatn2HWrd5i7Vk9Rq7dd/+V792+unvl1ZXx6NW6nBAECaFeL2pqanS9vabtEeukVM6vLb9yUf7Tt8zkEz9qHqWw/XTOF/65tEu6/B3t1/v2LFDdL1FlJ0ix/h+aBs6vP7jclATbx940hDlu9nZ2SNJz3I6Uuw9hQV5pKmpM2XavW/fPkc/+JWvfEV94QtfUP3691deJCnMUe3k1DRj6NARdTffcssdwkvyAon/PU3yYic8iJfJma32sImMEJJHrG3vblnUSS7xJSUlPpOXlzsIqc/PdyJrJavTJ5+m/vPyv9XNN97gLBgyPbfXbdxUvXr12o0rV6++78235k5Zs2bNdq53yLu79+7J+fU8FLFm6KyMYCDgyS0sbHjqiSc+UVux/zOij0Vfb9SxoBaFFcOtp52mZgwYoKpQT68kGPB7K1ap5avWhMq3bDMGNbcufeQLX5y9m2wVRiekK/cVRrUllOQx3tx+ghCwllvFIvUWuQQa6a1RowUoYwVS7xlSxhGgjPQWx/V1B89vjuumHH+Vl84NMcniQ8lTTz1VmpGR8Zi4UeEMYS1fucpTgguWTE+x+cVAvlUNHTpUjR071pmWwwu8+wHf5s2b57meXRJYhbLk997IEGDAmWK/S0CfD7CFihz1I8e6QgjSv3CCyPlUYnz8qUyzg7QlKg4HiYz0dBWfmKySYxPVL391t/rm9ZuDqB28K1eteeb/vvuDb3KdW36vk64sQk2f7uwOt3EvY9485/8D03UIw72/I1b6whDIBSLpRsfGBtetWZO2YcOGq4b0K7LjUSUwWDo2u/uJo5kBQF8khfOlPLNijmOvq3KQgkX8w1JhXQPiJSZzTsxNKdO9sXyXzSF9r9dAx9zIc+2ynlRSObVPQko7XVXEgfa03aHDv1i9WQv4RawSijs8owsHXdLmc52YTEpYVL7vgHz5aLMY6UIxJ/QpWuLtI4/3t7/97WZ0uoWQqY03l3nqxFPUXogX3S2xccscPe/atWtxA12HG+wWm7iqviVLljStWLHipzSBEI7rpFc7RC4h+jjmZgigv7c5BHSjqdIvCKjirHCbv/pVUepDDxWlkmWWcAUKyydJ7+1IoUcs8uSTTzYYCCRL8iekbiEr5EjvskAoLCCLhfJpBf1ioWHiNqzw0jvnttuu8MlCY7jeLhcd8V5d/VHqLWPTjBnOgCLBcRxiCv9PdTjC5ktNbUTM9wtTyP/tyRG7Y7OosLBx6eLFA61gIJkC7P5FhSZqBlWJb68QsCwc7uT5hZCAh0C4E9LT7TTD8OyvqqrtN2LEwvqqqlgCBR/UNpd85VN2SNDwt9WhK6QJVzuLbCFpi7tTeykKKI/8vOT5CN7Y4u7l/Hpscce5x/g/4g01ynye/2QRMCIu5AS8UEu8H+1DdV7qfv364TUb/Q983ZObm1tszMdMmYbLRPd/b7yFT361QhWhZHrOwhtmoyEbl9Pqhvr6KyHfg0x2hOhoEgb3EWcIkDoRmKco9dJLg7eOHq0uLSoK5GZkGOrii4O1LS35/8Lh4o7Pfa642iWxjiCUF426BKZPn342i4OXY9PKVLzZIwuDYpeMLatj25qEtUYAab66utaorqlVjU2NOZs3e5NwtNgv7eio7EiPuSZy11yTN450R19BazMhL8/2xMUZVa2t1hv/+pf/ccOoqhOSmjVrXespkCtslgohSWZMpy4ByBCzvuD2nTsTN27Zcg6BzO0GrEwKc3PUsKFD1PoNGx1TOGYkShxDGiFeg1xKTE9s9MAtY8eP/0PRwIG1lfv2xYmawWVel3SlbS7x8vhNmF9wEOakBp1Ki0JqMoioH/84/6xRo9RZeF6nYxzShFz9v1NOKX1DCFjaxad7Syn2oC3cRIPZ1QIk/sswqdvAMTG26PYmdQ3XuQTVRS1WOmM4tvIo7ej2fY7XCzTxfoRPjimkkFMI29afYspzHqZlocqqak8N01ZxJjj37Olq0MAB6t33FynImHgKDdiERocItuJhNfyff376rTexvfQJwbVvBp1beKIZM7X1nD+F39wMAUeTnERqsseNy+4/dWroP6ecYg4fNsxQRUUedLAy2bbToIVbMjL8Fy1enHXRpEn7tnfyMku7yFacNgITqhf5jINocWuuN7BvJWjNflQoMY5Hl7jTilNBNWG3sOk1auvrajAha5L20Ab56JXNdSy4+uq8G8aONR6YONEwBwwww1l55T6hC3NyPNd9+tPZFxpG+Q6lblcvP/44IWkIUgzxChkKu5GizYhJTGz94x/+cCtkOrGx1W/JghqVViNHjmAwScSVd73atXsPZnHRKgq7a8w27KS4OHPE6NFPXDFz5iLUQ2mk9TjAte4XYUT5Lp+iIMWHzyKCQxn/drq5g9/pp+cW4Y394IQJ6uIxY0wWY03uL4Rtfae0NG/Z1q2Baw2jYpV7ficFMpNxBsw6yHKz2Jhz3luRkmX4+RmYP74N8V5G2ZulX3Zy74/VYU28H93jdoLF4IWWi97zpsTExFBWdra5ZfMmlZWJXz+mYrIN6Fekxpw0UmKoYkrmuNEqpF1j2/ZiJ28WpxxGpnRu3hVHvdCtDAG8lJDdNM+5525+ZuhQY3hysu1PSYn2xsURYUbFcytZ6GkIpqbWDu/f337hxRdzTyUzhbxIwlwH6sGAQibcORar8T9hxyPWE9i1a6dvH3nGY2EDLzpQptF4rGHbyjRcNl5OC2nXKCvbt/jll19ukmhkort2fuzhH5d0J07Mu4YsDg8OGmRTNzOQmhoPl0q7RG3dYmVlNQwnvOKbb7yRNfmcc/aV2/6aPbYveYRM+VG0KyceQ35+4z+eeuqU2traU1PS00OlBFCohXSZsjg2u/3798NSo4goaJWOxxoehTYqFIM2N02ePHnVzh3FiTYqBgHMJVpppNtQ9zuLaqIDrl9dUlLBzzIIHcBX/g9vMhYwePTL6dcvMHfECGMgtw5lZkbZMTikoDDhuoBBRuWTybb89rx5+ROnTdu7ddasziVfBkxnQZbFsSXtbcwp7KBnLPftwuYSeQNCwBZma0LkEed768L9jptTnAd33NT2xKqogz0S6RnoweKFWMchipmmR23bsVOVIPGWlJSqtZiQyV5WVo6Na1UI8vIuWrx01R8efvh5PLkksHWnnkbysrIvBLYzjgadZHEQ3Wdu7uYr0tI8p5IWKODzeaMYGKhnKi9dLjtilMphREgIZGb6TmI6+zWEUnvuXIe53FsI6Qp/JMMd59Eue8iQId6EhETHrAqiQnddikS4m9CGOxSmY46ZVfHuPcbGTVuM7bt2PigFUYZbXk8/JR06HJebAcf/Li3Nwn/YICBPDL4NKTBuLjsivcpHpE/xp6ZGD+jf3/M9uenFX68rZ4SoltVNGclcoly5atU5NNDGcYIFwkS1D8uFanF7xgqleG+pqke9kM7gOWrUCDV4yBArPibWCISs5ZkFBZXNgRYfLnoHynKJ1i1b/pcA6cQ891o+3w55vuFB9DAcGFCMtmfmvwsJdyAmwf6EBJ8HrBGoxNu5iL2QtqUxyMQkFxVZj8jzOqygDg6I3TDNXkz/kYU2x2Kmg9OOesglctYHpKwcpN4s99hRLz6BT9DE+xE/XEg3QxbUWJCxxcX0k5/8pBMIR+xaxQYUBwKHsNZt2GgtX7HKWLxs+ZatOzZfRrVlNipSSIcbPznShmQIgAAD4QwBwh8dXpOV1fZCIozORLgjk4FysvLy/lN+NLtIpgnhPZYyPBCYupgDavr0g/SGTp9CvTCce6VLUB82Q9olgbrXrd/o2LTuKt6jdhXvpn27cKLYEiLIjweLhvtffPHVubyczmxALuyFDeJRNmtb58fGmskght+DSR1FdSJSYSJ7anhPoLFeizW/K++7r4DQabcHCdOzmdGL/BXI+xAmpOptbG1N8xPAh3BcxggUqvLbntIyFtRIpokqpXRfhdqF08uO3bvtbdu3e7bt2Vsx8bQpTzcRm0GkXU4/oMeVa13SFWVqgJ24nSa65Ob9gcBG/u1M2pUBJZSQkJOJsH2pqItpF4OJ8Lo8qxT2DPZM1A0pNDbKSkkxz3zhhexRYIBU2/lim/Qd6SdimkihPpwhBvaULGX2IkSO7likXoXQ0GE/lN8+Dpsm3o/4KdMZGxz7z7o6CVyj0PWqG264wTEdK0XKXbNuvcK0TG2ChAMWGQq8UdcuXbpmu6z6U3XnJe6sCbwsjnTDS3TUDAFtUiGEEFJ5rIORFkhhS2zhcSUCNdpGJQTayN7CHpKXhkUYlcynbO2lKOc708o6pF2/6KVx21XE31ViiyyLhJu2bFVLCKn13uIl6t33Fgd37t5rVlTVPD5v/jvfgXTFbbp9eW136OFfUhpNYq3Llng7MhbU12NZwZpZG9UJ5QX538ngIQNOXnKyNVxuedGefZtg6n1wtQ9CsvxiaQBITeKNRtticAOePHWq8sJ+O4muvhVHie0MKHza23bsUuWVVbWnTpt+54ChQ6vAwpF25W5CuIeSrjxMamT5iX1DFTcgdTYJAXK4o815dxkTBuK1nEJ1CPMoKY8oQ5rlPBIXRjnVtOJQ+ni95hT5dd68zolXfm+3vUMdTj9CPdqd2vFXVwgI25gr1A6De0rkHd/p+Dmqifeje1YOaUK876HfDEJOBtYLNlGoxHLBcZa4+f9uVtde+1XyZl1lXXHFlUxdR5UNHz58uUiE7cIrHqkFvC9dyxDAtNVEZYAJlzIkLZDsZODFnK2F77WQ0j7uU8a+H3JuxCohSEZbR+936P2ddhG0ZzuusVhPVZFmvMaSdkmsgq9//euKBUF16aWfUjNmnKXOmDbNOPPMaQbR2P7FC+qW5TKG+3+PPmVByeMxCJTT1jaisVH3AO1roNxKdmnbfiTLBqwQggROl9ToHGIz0HliDvC+sLLoeLFHDmKl0FTL6FTf3Gzvo31R2Fqffe656tQpU1R2fr4yWFCLT06xCor6GYNHjlpzxowZ28vKy+NtxFKXcDsi3Va5B6QLMZdHpaSskdsLaTkV6eRPbKxtykAi6Y7ctECVlaJ2r2XnIZIaSNolAwzdi4HHmcLw/5E3lyxd00Sk3lPkGNuBh3TkEg7+VdRicoTBeCEC/aSjZBQ5+OIT8D9NvB/dQxWCkuDdW/h8BtI1+e4n6wJus1sVhvmETHSsGGwIK4Qqwty4cePjxGFoJNCMdP4jvpBus8IvrpMhgJdmKKR9WL43d/FpBvafpAT6d3m5AeEqe/duS+3Y0UpdakkDVEFqmXL2So412jt2yG9qrdwH6Umm8+03j7g/c+DPLEIZOILIwEIZ29DrbidrQqoaMWIEVgAjg/1RqBYXF+/429/+9vbPfvYzsYYQTuqtzZABRfSgpaXBVxhMbDQARGSzVHGxX23eXE+qnAqk+lIsRvbhJVhH9K+AtK1k0SLTmebLIHfJ9dfvx7NgERWL9cbEBIcOH/5OA7Ec9oslBja7pbSN7yozJ0eNO/lkderpUxQWDCqawO4pGRkLseaIEhWDS7ry4EWlAME6u/wvpMv/Hjg0gHPFApmac4hfOt64jWO3i2NjJVqqIIOgpHYnKluA/tPA534WLMtYkC1Dwq/GDrzV3L7dNnbs8BRLiTyzo248C6mAmJe9y+dIsIijPx31uo5OcImcMmWUq6AfTHSPdXT+iX5Mpqt6++gQkI5tove6FUlgMsQ2SDzUsP0MOkb4SMFsHmxCffv373/rjTfe+KUQAZ3XkSq7Wm15gSmnFaN4N0PAqxyTspVLupddltPv3HONmdx+8p13Wja87xHnLRIh8OK2IB36kVhFBLNZbA/hwGHYK1d6HpY6PPTQYYOA1M9k4fAX1P1i3J7HEAgoSBsdu1YhYXTbIkSSZr1KHES+QttlQBEC71bb5P6dbM7ghArFf9NNOSOGDjVH3H13iKwURjSqdPSgIYKvtyAFBrCPlswelliNBOvrzaiNG9Wzc+bsaUZSFrWHs7gFVhtfevTRpOLdu8dc/bnPzd+4adMZiPMn8QCDqB/MFr8fU7h6sWywSdtjtTY1eWHOFZ++6qpl+6qrY5njW44GgMq2J2D5znGrBR82lDihxpaWN7/8rW/VhJ9Ph8wbNglDx6/UXXeZ0Q8/HCrbts3MJ0aPxaIoFm8tDCRBxSIp5odOu6ymppBavdoqW7w4doF0B6kGA9LRNqrh9BOxSlhPP53CBW9E0gflRuF+K+ZlCynrM5SzlmOiv3KelZzzcdmkwXr7aBFwOh1OFDmQ1K+pytW4CftkWi4qBxY3mrEseHvhwoWX8ZvMISPqpO6LzAt0FWUuEA8l0ROjsgjOnJn39VNPNX49aZKRNHasqWbPttQPfxhUgwebqDdY789nXTxNWcyoZVGGwOwetWlT8I5nny39iUvcHUB4oF0sHv4R4rpU2oTZnBOXgemmuEEXI+l/a9OmTS9xvcy+epV0J07MzDn3XN+vacPVp59u+l5/XVLUWOjRDTVmTFu7MrDSpVoYEKBb9Zu+rVutHWvWRE8+44wdFWFicurk4vf8Qw+Nx7NwdJAc63ffeefNtdXVY8Wtm2MqHj2vRB/Dw4WYwvHLP//5z/8+KTU10NrSQkzztpgLQrRSoHxCabaItTzU6GbTbCHg+1xIt8y9F6cctoVJ17rmmvyLxo+3fzJ+vDq5uFh5vvlNm7xuBi7l2J4UYNOQbYC1ItKbPDObmMYe79q1weueeKL0UXErJoykVKFLm9RHFsNo50xI8w3IUrIUy8Dd4cBwpELd6+iHE+mHafTD1yIl8iPdp6//pom3bzyhA2QKAY8Q6ZcOKiZMLTgTzMedeDAdvuTmm2/e4Hbc7lbbvU4CoHDtaZT33M9/frt12mm51511lueRyZNtNWyYJ9ivXxy2/XGev/ylVf30p9VIThaka0K+Bs4BBmRpEQHRvmvJktK7jkC6bvUOtIug7mfxol3MHoteG6nMWo6k+3dOrOvlF8+EnNTDDw/IPPfc1oUXXWQOIlwCZBsVSk2N9Tz9dFDdcksdC1A2jiGmys1VKj3dZIBDK1prr9y9O3jZ6tXlO1yCcxsiny6Gz/7+9wOyUlJOgXXi5/z1rxMZOE5lgbQfkq4iKPruQQMGvPe5L3xhPrF6PUK6sK5DUC7TuYSLO7AX0vWxmLY31NT07hduugmvuc4JzcX74ovzbjjjDOPByZMxGMMSrl+/KPXkk7a68cZGHFOUGjLEVHl5zmCJJG+ykGhjmmj95n//K73FLaN9u4723a3T3XffPYiZywQsZea4x452bUe/y7VyHL3xTGY+c7/3ve8dcbDpqIzj/ZhWNfSNJygvpnRGg/TrG/iU/cCGtUM90/aLWJTaykF3xnrg9658Eekk/LIUE7hkQmFh9hCk1/2JiebvMzMtKybGw5Q7Fjv/VEgoTV1zTZQ6//xq9eqrJdbq1U3mhg0W3snGUzU1oZdaW8t3tmkvjio1ue1C57j3Leop+0EbzhYE4uk9vS7EYiCphiZObL134EBzUFyc1ZqUFBONuzXxZlLV5z8fqyZOrFN/+1uZvXRpk5Bt3fr19jsQ78u7dxtPsq4lKgZHL3xQRfmnHYY7nrznnn3pKSnjrrvxxvogqdJ37dgRBzOH+g8eLO6xdunevfFiIoKka6GrOAAUfr0GUq4Xna4Xs7EaZgMbvvCNb6yXex2JzFzC7N+/YBoGIg+SMT4UH+/FeSKeATpZffGL8ejNG9V99+1T69e3skCIRWBI7ccCeSXGFw8UF5e+Em6Xy/+HNq/T/6XdMjhCkNsgyzFh08RNR6pvp4WFf5Ayf/GLX7xPGVM59NzRzj/RftfE23eeqJCU7DLllt3ZICZxkqiiw+/C1KxXMgSgL55PGvUphYX9rmaRXgLfECbLZJYcxT0TIBgh3ximq1Hqy18OUKcyLBsaqzIzSx5gJu3ohbmmqy+wtEk20d86kg4qDoWKQ46Fws4W8r03Nux/VSgqKn8IsdRn+iQnOzmLo8lJZ5oJlI++xEpEsk9G3+ihXiUmlg3VmZl7L6E9iJpCfh2Trlu5duQrusmFj9x2WwamckOJy5tN4UksJKZDJrYHl2ATfa8sojHX5zIIl++YphESSNVw8631odDm67/xDTlFNjnFxartSLu/BDqT30wcHGdhj4uBhIF3mg8rNnleGdw6hQHFUs88k4AefQ+qhfrQU0+pT6FRel+K6WwwaXeLI36lDzp1Q/31NiqiC7BK2MoF4Nv9TdopRP7Tn/50B0LAWGZh2BYb63pC5N2vxUd7hSbejxb/ju4unflAhw57cEkq7t7MEFD10ksv7czKyvhFc/MeTIy8jkmSmCXh2cWLjPeEYfEyS7ZcEdqgqBLjtOuuy82YPbu0Ch0hgltHVT/isQNEHSbdI54c4Y8yYFkJCSEGKK/X77dCLBaaGCBAqE52XxrjoV0e2uU1feQPhsv6P/dc/iRS6Sz72c9kAejoM4owQcoUQthyP/fcPxf744qcnGyS5Ukap3gW3JIQsc0gP+L+G+TkWsvjqYaEK6/+2teq5TB7eynX+V+OdbCJFI8dblEutseTQiGbhUHTEwiIisSDY50MLDF8F9vkGBZBo0QajrrwQv9JZFNajH7ed9NNjjF2B0V3+ZB9G2QpmU2QeEuwWplEO9+TY5Dygf7a1dJcIqcMZhvWhWTZ2My1AtfHYtPEexw8Zjo3L97tfiSD5XTSaVT5xbB00O3a09HlBfd8+tOfWpubW1iC++w4bECtqioL6wK/SklpwJ1WukU0L3MzexO2lyEiiskilON1JS9Z92m32zWN/AIGBRJcKtLdy25jkRHEgaMZVUodhcpIEnDaJXNxTLH47rQnyCKcSOVd3USMFfYUVhcCFtLYG96PWoYr3YWfx9HOlwElFB0d7E96vTh0tuSis7H7Jt5FXQAdtQjfjm8Gn9hG0EbsdTEJtCdB2I9hn31g0OPHiLcwwRpYJLyLTvtqCHgtThENFCj94UgDR0f3BAJnJlDJbG4vszAh8q7kCuyorOPumDxQvfVxBKTDSyftxQwBeGeFJKX6Suxb7ZISm93CprWVWL+1qBX2QbYl7Pswt6rHtjUk9q+7ly/fw+KPcEy3X7IPFWEWlMSsFk9AZZQTXwzzaOyH62nLfhbVSpEMy1kkrMUm2Y89r21t3uxYi0RUR9FOuOQpz0gkQPmksAODk5CzHHN3uZF7TRdv6pAaqoVq/DYC2O4ymNgMlAGeGSnka6vg/jKKKuOzClVDCzMUm+dr7uli+V0+jTZgGXIT3tKhleinz+RCDnWXc9tuJxiwOTbmfB8IdofZmHe5YsfZiVriPb4eWK9kCKDJzpuSlZX4Qk1N0482bAg5Ui5BxJjCWrywfseCQWxdW1uDISRHz6ZNxkuoZYOzZinpM311SuhMeaOjve80NQUb8dWISUmxbZ8vSNKIZlb3A45tK7pf2hUgRnnIIH78jqeeSsFaZC/vfs8kwzCZik7+oF4l5AzTHnSsm/84s4yhQ/tv3bhxM/GFzIHZ2TbmfSEMJpqdGQmR1RyLhgA5+urqWnGUsBlszP/IfTqws+7m7T843SXLWbNmrca8bCRSbx7HGLod6bXbDEw5Bni1outdxQLyVO50wMb8g7ueeN961BtOPDj6dovczo0N5IWoHEqwgVzpHoug5jKttjIzs/7O1PSqoUOjA+Ro9IjHqwQ9xywVZyubBXsjavNma8v77/tOfeed4powf3T7BTtC/Qx0xqabrmb6dEd/7BDoEa450k/SrlBOTt4dPp/nR0VFIT9Oct7CQrmHyYBCuJgoGb/sUEWF6Vu+3L7+T3/aO7u7tq1HqkC73yR9EjawzhGYqUczBaddmOVdB9E9Ulho+VGN+Pr1I+RXjoGKyHDi70o4CUyMo1atCs375S9Lz5L7i364XZ16/NXtc22miaHTfvCDHz/rHouk8PC1OIPcdRXXv8vMrrgn5UVShw/7Gq1q+LAR78H9eOHkaidDALaw48gQgEVCxGOnI0Xl5uZcywLTfzZvDpBKyDDZjaVLbWPxYmW++64Z9dprauO8eaHzFyworoZA5Ga9RrpiIiXliTH/DNyVZac5qFWUEFakfVPahdec7xdMh18rLjajli0zzOXLlVq50sLbzrKJz2O+8444VFh/ENKVe3XHoYDyj7bJYOK0TUhP2sQOlyhPD9olelpxK5/NqPH8nj1m1IoVyli92g6uWWOxh4KrVxN7crkRRbu2L1rk+0qEGoAjtk3qP2eOYT777BUeIUhMlFt/+9vbxtAPaV+bfe4RC+j8R+lX77JPYY+4U3devP5FI9ADBESHKJcjHUxhUeIs+d6DDu90cK73nn322X/Myyt8Py8vb9/AgXmVQ4fmLRs8OO8OpfqlyD3YIiXCtqsP+RsmXTnqueee/FP/+tfcr776av7n//vf3OHuqRBHpPd0X1wTCfFmpN8tRUX59siR+fb48fn2ySfnL6N9V8p9ekCEbjUP/XTvzfHB0fffnzPiscfyxt92W2aCe2IP22UKdrm5+T+nXdWDBhXQngJ7+nTZ8+0pU/L/h3nbwPC9IsXPrepBn+2eWfj4FQwudvTNNz/+6WnTbG94sDnomq7+4/Zhmc2hdhgj17l9vatl6PM0AscUAemkmN/46KRfYE8P36zdC9/124sDg5z9wgsvjHnooYfO4GtCUtLINLcEEah7m5zc8r74xfzPPPBA/oo338y3i4sLWakvtPfvzw/u3p3/v7lz2wi4hyTlNEOSdGZl5Y9JTy+YGB+f77zU8oNbD7etvfDpPANspGN/+tO8n/3973lbFizIC27alM/iZN7eHTvynvzvfzMHy3160K4D1eQ++bTr8xkZuV/LyMi/LjExD1+2tq232+aS7le+UnDSAw/k/fGVV/IWLVqUt37jxqy358+f+PJvf3vd2XJn227rT+FqdOdDsJPFySTp1zKbc8m4O4XoczUCxwwBt0OysDEMqfdSuVEPpQODSGFRBNH54qOPPuqQrtxDslJQdESE3lnjXUI4++y8G375ywL7rbfyCYVZRNq1ISRdGImT1whuPRAzsPzqxYtzJko5PZCkpO7OwNK+PjKYuETS/ngPv2PNoIzBg/MLrr8+f8VzzxXYa9cWEOC+P+3BSdDZB9hVVfnVS5dmz5B79ZB8D2tXuExp8zGRdK+4Iufr996b1/zeewV2WVkRbRrAPoi90K6o6Fe5bFlemHwju7/bh5F4T++F2ZzA0We3Xn1AfbaVJ1jFXH1ab2UI4M3BzXS9H1fXRUQSmy5wyWqzWDHwtdd0upSFe7CysrMLTmIB78HcXCtEZqEQuTCJl5tBLOB83F8LMPdKDyQlxaYQS+HP5HWLgyQdva/Uq5ub1F10oy4ZCVk5BCkebt0s64inM6CI4YJRVGQ/Tr66cW356qKsxMQU6pDDtXl8ppOCJzZlwADvs3PnZspB2x2Ijlh4xz86Ol9+ksHR3T2iS+Z/0XP3yiYDlGA1blz+ZwoKvA8Tpx/3azOYkhLPPdLZs6hHZjAjw5c2ZIjx4sKFzkxFulS3uQXrBsdsMiMjYzEF5MtsTvo6DZHnd0Jt3QbnhGr9idGYd+ikvZYhQKJo0eGPSYYAXmJnS0qyvp+a6uSPxNTL64mKiuN4KsSVw56LQ0Omj1RDwexs30hW7C8RMpk373DJtRuPzyUjISshJfm/1zaZGciAkpmZ/2lI6VzJV0eSy6j4+FjeLxrqEG8Bn7m0KzmQlubDzdhzk7Rr1qzuE1S7iktbZHB0914dTCg3nK9uYHJcnP0A6ZOIdmbiGRiNq3Iybcthl5xu+RB/WiAxMTqO4DyzpF1yLXtEm+R7ox8up1+fIQUgCUdcVkQV+BAuAji9HY8IiCQgU7PjKEOAkyMM8oFl7enBoNjSGiY7Tg3SDUUYFcEtij2aHY7C7wCTthl8OS42zNQukKiQOMQZpOMRt2TqHYVKgZBhTjbjeD5jaKwHL2LjwrC6o7fJsjexkodip6a2ToVwcyBCizRzHJN2xbDLemFKeBd3Rx8DqXnx448nZEK+xALqPvm6szksJtZRsJdAOgNcSZj/T5hNE+9x/CjpkI5kcTxlCMA+OI74CUm4IONxpRy3V3HYaMvnVsun7I3sAcPvtyUNUQH/qOnY98pnX9xQyTjkiW3wSZKvjnjo5Kuz8ZSTPG4kQzOkPbI3swdRddiSG61fVlZeikiHkRDUh4kDjjSFkq+OWB625HSTthHXnirIc2tlD9AIy4CjsVU2432+ESdL/ebMuaJH/ILqawFmk6cJXlLeibT1CJgTCYjjtC30SVsi+zdQfzdDgCMJR9IekSy4zskQQLmSJijBJfdIyjv0GvSZ3smTrWZe4lqyCJFqx7ZLS0NkHW4mbU0VGSDE5VVcevcTB7iJ3yysHOy9Us68eT2akh9alV79H1WD2OeKGLi/stLAnVfZ+/aFJN0Obr21kFQFP5XKz3xvIHJYkLarOpJLN0O8fXoTHTTxPHwymEguOsJNOvnqyssbeFZV1J0HqSoYXOqJDyHtsnA5H3wmJEzapTkRDZbubE7i9GKzLJH5epTvrS8CrIm3Lz6VbtTJnZoh9S7jexZkmSUEGqmUECbyJj43IHGcTlWEyHtKD3I9rrQq+Prr5Y1MxReWlJjESVBWcbFFLrYWtW5dHbndKnFzldxstcSMaGHBzza2bvW8LnBAvH1yE3WBLEJK20pLjZchXclXB+laDCh+tXFjHW2pgKzKIeH95KlrkDbbZLVfTKS3pn/8Q7kLYn2tfVi6KCKPSb46zyII1yJehykxPXbvlnx1DTyr/Uj1ZUjA+4h7UYtJYNDYssVftX9/0pK7735gikjz9J2IOMYd8IkHsZB+PYJyIs731teAlfrIKK23EwABIVsyBCwictQ0mjMn0ia5RM71S5E0ZlJmTg8zBDikS3nG97+feyPphS5rarJPuvlmC3MrReB1G0k35KRbl6AvkkGBvJB+QjlG4Y216s47854Px1GQuW2f2twVf8lXN2OGMRN35Om33WbZ69Ypj7RD0sc3NVlIwAFxwaZdbfnqCLiOx5n5oDQGi4G+uDnPbP36tnx1p55qTUCrVbtpk5malGSjnw6hBmohq3Fbvjp5hgRdCqCGiFq71vu/O++c/e877/z5NSzSbvzRj36EnOzoeru7oOmQNv26AWehzcSFOJ1yXhcil77eF0HrTp008XYHrT56rpCldMg+mCFATLfsIUPyC847T/194kRjKvEgyJTgZcqt1De/KUkZDfK6Gc4UNiUlZJNmjoA2ZtTevXb5pk2eLyi1LDCrbeW/uy/uMX1aLul+5jN5Xyar+73jxplp7Fhk2KSvD0JECtI1kAYldZJlx8U5emBvQ4PH3LIl+JtnnimdK9N4JEqQ6FMb3UnZJ51UlHrBBcHfksPt6ilTTN9ddymyd4QU7tdEtjOcAaWy0pIBJST56jgWtWWLvX/btugfMOTQfnuxz2egclD/pm8akGW3n58QrMzciEm9hKzEV1GOzOZQUKFKbjMz61PA6cp8PBFw1AGkf09D0vgcGQKwiY18UYJO7kwRMWb/FPtJAml3yxNiUWqa97zz8uY98EABJmH5raWlg0hFNpYXaor95psn22ee2c/Ozs61cVW2xo7Nt089Na/15JPz/pmcnN0//BgjmqqGrz0mH2FrBIVt6xe/970C+8UX8+1Nm4oCLS3DcACZYOMECHEV2MnJOXa/fnn2aafl2xdcUGCfdVZezamn5kJMB7zmnGd2TCoZWaFOjIzU1IHJV12Vt/appwrsxYsL0LMPoF2j7H/8Y7jdv3+e065Ro/Lsc87Js2fOLHD2Cy7I3zBkSDYB5cU5pc17jRnTFZKnTY51t+/INbK514mJI+V9Wo65fVO+H6+blniP1yd3eL1t6ZC9lCFACIFAKM8axcXFC9CzXUjZW5E8AhzvkoQWtm0NFhRsviojwzMtJsYKoDOOSkiIRSpMQ+JNV2ed5WVPQ7+7J7R+fYP5yiuh3/397+ohv79kszQvLBH29rRS3FI9Ur5s09nnYdsr0hVfu7KFbVv7pZBA+J6MjDbbVvK6YduaKs4f6pJLYmhXrXrrrRJr0aJ6Y+3a0Lr33lP3IN2/Rc7SPWLFgFTZ1ft1pU7OOfL8RzF9WLduncGnDQESnMdxQOhSGQwojgQ+dmzznQMGeEbFx0u+uuiolJS2fHVXXhmvzjijkfRCpQyiDeh3raaFC63/oEl4Y/fu5r8rVVUnz2zWrGflvoSrbHkbFcE51GsHFei2xCuVlvpLu1BZbIV4R4u3pjgOCSF3p21SVl/a+tqI25ewOV7rYuDnHiUZAjBC/2c4Q4C0pasdX/rEQeeSG+v0uOTkph/eeuuK226bxmA9vQukMQ9Jdbr1l7/Mfu3MM82zyGJsnXRStHfMmBSmp7ncIguSkqwJ1ezFTMwrvLt3tzzZr1/pNa+8Mjj6T38aH8SN+aB6SCN6suGdJ9PWDgcOkdK6cr/16+cQDGZdAGeJL596qvn4jBkWmSu83vHjk0g8mQVR5DCoxJHdV8zH9nKvEk9lZcOKrKyyCXCRuvbak32PPLKU9vbeJgwEOYl1y2HPRdrFAHrY8UPvLmVwzEkvNHp0cMu556rYsWNNY/z4OGPAgEx+yuF5JaGnlrG3lOeyB1PA+rrU1LhCw9haZ/K0L7/8Crzc2vAVspT6MFv6BEXXQJxL3GOH3vso/0vYM2ekuueeezIRAs4j9sbfujuoHOUeH/rPWuL90CE/tjcMd9JW4i6sJCzimdztlbB00JUbu6RrfvFzMz9bVFT0qcyM9IJYUhCv37ip4b477vj5LT/+8Vyl3u5KWbzsb6vCwtxEcZRoaVE29rsspNkQrfCOn08pxuFB7mtghqRG8Y6pCy/cyplbu3KPbp/DoJRUWbr306npaRPTUlO8JG/ckZiW8uLFF1+2oYuFkY3dUBkZOePJd2aTigeilZ0pgtMeG9I9MF5wxGQRyhz83e+q5F//WtXOnr0sMHu2wNyrmxN8/fs33liUlJF6SmZaSnpUbPSetMzkJZdc8rn9bZx61Ps5lfZ4WifgCBEfCJCVkyCdxGN2SE/agU0thUguPq9B7rpQbKwn6cUX68/n4Jyf/lQZt9/+waDmDgIJCQnzEQKuIKjTOjzSmo5ai8NPENHWOfrd7353H0ReQiZuMS9bFCGRH36Hj+BIr/eAj6AN+paHICBEK7EWmObNpIPOQ+rtSoYAR7LoN6ZfyuRhE/9+0sjh5/XrV6gy0tNVFlHKN27arN5e8C5BxH2Pp6TnPRkfHx0n0cTFxfiQ2zv/8pukdAndc8+9D2VltQwZOdKwiL1gFhXFqPz8eMph2d/xVoOR7XqroaHR3Lw5aqvHc8tNHk8LqWWMuo7KjeQYUpKZlVVQ//DD958zoH+/W4YOGlSUkZGuElkZwmVZ1dTWBbdu3X6/JzH5L0U5OfHSrs7u08DqWP/+/VvuuOPu2xMTay4ZP94IDRhgegYMiFZDhyapgoI02hPN5eI4UWP7/dXG+vWBulWrzjkzNnZsDTnRzGDwA2bu7D5dPZ6UlBR68X//81gNdd8fOmTIFwsL8uLSUlMdksTEcP/OnTt/s3ZP2Z9mTJoUzdS/Q8kXFZBBjI6mgQMHtvz617/5amJiy2+mTLFDaC28w4fHqJEjk1kgTKNK8ewyUEqqoYrgvn3Nnvnzvbfu2vXd2SkpW0gumueMom7dsbCBuP0h9kn19fWJPIc3Gczhb4/V2NjYJe6Jj48nAE/FgXqTpSKWdl1Kff/98MMPV3MvKafT5+XWpa99aom3rz2RXqqPSByY4SwIBoNTKfLZoxWL9ABHG+YZU0//Z0FB3ozk5GQC1SSStSFTFRUVGjswPD198qnWwAH9r92wcVNCdUPLrZwv/r0HXor292hubvbwkrAoozbX10cNwoTMlpV+SA1X4RZO9au4OHHbEpMrP5mODSJ3eVanp0eVmWYd5Qp59WzjBbchG096enrrSy/989rBAwZ+h7aRrSEpmAo5CUHFREczuGR4IOTvlpVXjK9v9t/KYBLdGflGR3tSaXcwKSm+pLxc7I4l068VXuUPqdzcRtrlQfqVtEmtRCfzY8erWny+3ELam4WZnIxVPSYKZjNI0ygz9u6NthobfpedndUvGpOQYCAY8jOtiPV4DGYqGUzL70xNS/s0pDeLemdw84PIUcqgLANibWXAbp4wYWz0ggVvG6tWKY94F+7aFVCrV7eQLLSW7MVe2iVea61Yo7R4SksDRlXV5NiCAmNaU1N6tGkePGAh6UrxUj5hMfdMJzZyBphUUhdSFnU8YDsXtPtTW1sryTUxYrOxdrEMZijNSLzMjGxZB1gg/Za+3mM8293yQ/mqifdDgfnDvQkvGP3SWXwoZkFiLAQ8imPrwscO66TTpk0jyMvtSKRF30hNSZ4R5fP5o3mLE+IThXRVSyCoAhhIzJx5lVFeWhLkhfp004att938gx9sOlrLeNnu9ft9F+HJFcjNNUwIljgGYoZk8CLL4omymbJa9fVeDwLyfT/5ybeXH63MCH7POHXSKV+YcuqpoUED+6tBgwZ6hwwapPr1K1Je2mg1N9r7yHy5dfv2c9ZuWJ//jW/d8urR7pGZmbQ9KirpetyaVWKismmbUUi8mOxsk2zGYrNrkL/OE6qri8Xry3rq5pvvefloZUby+7BhQ2dPPnVSv1HDh7UyQ4kaNHCgp3+/fio1LRW1TsCuqqwMlJSUTFy9dl3Rl6/75h+PJh5mZ2fP9fmib0TFkMPzsbOyDFPaRfuQehkOo22JsWE1NUHyQU/J+++vuP83v3m1jWGP0AD0s6uQfMdj8vjCEU7r8CcsdWLr6uocCRnCji0sLIymbavlZOm3HV7Uxw9q4u3jDyjS6kG0cikfxnwkhU8hGWzhf1kZOWwjY4GQsYWEyIIcVv627RFG9DINR8JQc995X5025UwVnZACTZao1JQUIm9FXwOR/3jOnFm+K66Y1WG5V155JWli5szDVOwPJGj8lugNsWsN4VaKhBVEMnSmiGZ9venbtCn4m6efLn2364t3hzXjsAMspnlZMAvOnj372sTExMyQRdjfYMgrEirRw/CFjUHi9iojOs7Ak8NMTEhUsdFxt9Cu/8ybN8/D3uFL/fLLL3uWLVu2LTc3/s6SEs+PiVMQbGiwDGbE5KsLGELEXq9y8tVt2mTvf++94D2yyCUV7MoC3mENOeQA9XKkXawXBibEJ1zr83rRxwajRBsrzys+MYHYPKhRoiwjtrkZa4sYOyYm9sfXXXfdk+ham6U4+kX7AdjlY095eXkj2S1m4fo8e+1aK4CwKq7AuAuHjKQkg+hktNayg9XVHvK6qbtffrm0iXU9ic7GfKbjjb5nop/dgRAwJhKrBCx1nDpL6ZRxmtfr3Ui+QSwojl9nCk28HfeVE+Eo/OFIvbV01h1M104TEg4fa//SCTmGRowYcSYqgNEyPW5paUUybUGy8eMeukcNGdRfDehfpFrqiafAigvnqObW1ony8tr2bSzBHPQSt8dOiAs305Jv5+bmBfbuNW6EZL2kVA9LTwYvtR3CLOn+hQtLbxH72Ntvf5up8Nvt69e+vO58l5V+XHlvt8jUcFYgEETVETSYhiOJBlQLbQuRkRfpzgknxm9ollsV4bdGXXvttQlPPPFEfQdYufeXdjHVLv0Jg0pyaan5LZlVl5XZLLrZIs1DZEZUVZW9c8cO65oVK/aVL1o0R8iyQyJ3C+3Gp5B4ICUt7TSinJlM5Qn2FvJiIO2oPRg5hVg5xVkQQ6cclPCbeQMKsoZwfFV4EGivcnDxlmO0a++jubm5YxlUvsnzYdHTVjnEJsNrzUAdTIAfcXAJPvjCC6UPtD2zzklX2sR6g7P4B54LqOuFkP92DndK1HJN+y38HFTYqiF/0KBBfwsf6y0829/uQ/muifdDgfmjuUkbMToLbe+jb70alcMqjtVRG1fCETKwWVQZAjm9hHdQQi2hp1hAMmrralUZkWwgbNWvsECV7tqKHrNZ7SMYQQ2/NUiYKrZZs5yPzv7ICy27WVpa8h1I6qmaGvszNTXqZFkgR823rKpKPdfUVLJC7D+RmtqTQWdlduk4pGtAuhj5n/MgCzHnoiuUBTwPizzYn1YTW2Af0+Zo9L3JELFfVeyvxMusTjU2Ncdwjq8LN5GX3mgbVHJfrKoyv11dbZ9Ekcm40O6AGF7bujXwAGZyZeG29QpJCGkyUAamTJlyBvW+s6GxwWpsavI0NjapOtq2v7JKJfHcMpHqBfpKItvUNzQof2ur6Q8YcV1sF8+r9Fuoid6vqLBv5nmN2bbNwALEDqI2X80gc//mzaVPh628jtoutx/yWYkQsBf8ZdBmdtM1iVUWiqm3SPWnMytbzEyKkJOROwd1AYNjfoom3mMO8Ud/AwjID+kupbOeSW1ekk7LJh5AoiMTciVdeGESL1uwYv9+b3ZWJmqAWCWLNZwLIdVyTiw6vQAxFeptecGrKqsXh1vWFUlOXk6RfFfwKftBW28SkxQc1lnjvFFwNYtGNyChB1mQ8VbDIGLJEEvbmK6qZmzcEhJQZEJSkJNVW1NrVlVV76KI2jBGMmh0trm/CUm9zkmvS263igp/XG1tcbV7US+3TeyQBctEBo2nWSDMX7my1KqpqTVqqmtUBW1hQY1nZjmEa/KMZaAR8q2orLJK9u05qi6WsqVdshss3D3N59MMmMP27zeS5NHj3OLo9cOk62LAaUfe6G9OmVi6LBQbc/reWvpePVe5QkCHBYSfgyUqClERifOEEDblHZXwOyywjxzUxNtHHsSxqoZ0+HDnXYcN5CgIuIhjxWFyCqETHII50ZkQkQVxeOfPn69Ky8odYpK1d9QOqgqxVKRDUf4iZRklpaVq556d/wjXuasvgEO+XHOAqPFuM4nshddYr03BnSpNnz7devvtt00GlO9IuwYMGGBs3LhRldAuaYfpMWX1XyHdqzii2YCHWCA4kuPukj2viuoFKUveja5Mh6VdMvW3t24V+2PVSnHqzDOVV+L09mbbeGYeadtjjz32VUwFi5BIAytXrvTJ80qIx2mDoAmwLlJ7kzPAIB1Ku0JYdhi7du/e8c47izaE+0JXZhZClNKuEAPmgUVUadtnPqMkolpXyuDyDzbuLVg7NuY8h6n88mq4Ph+c1ME3cX8H20m05TX5mWfjqC46OPW4OaSJ97h5VD2vKCS0gI4+HYnhGRaIHEmD/FZX8jJ4UC8ER48eLdKb2rR5syPpsnKMeqHJkQrbiNeCnJo9xXv2/OaVV/+7WiQPpJauEq80QM49cL6Qbs9bdVgJbp3yWQEnMHmjJPI0hxGdh8UoxUIUelwL3TLRtYjELhIiBl5MYwO+3bv37t9TuuN3YTLoTt1cEhJMhfts2tYV0j6s8kc6IIuggjfWJ5eJ3hYbXpO2qSVLlhDVLdYRU/3orevq6pmxiPccbbVCqCAazJ07d90tefWYpjtkeqT7tPtN2iVtcnfhTjvSfHX0M653Zlsrib0wDCeffI7tDR87THp2JVuEBVFN7KXt+9xj7ep4XH7VxHtcPrbuVbpdhy+hs9dy9QRW5ZeeM2PGl5tbW2aVle8LQbxemZZ+8pOfVP/9z3/UWkiqDEkqHRsimY5TRogX2eMPBGe/s2ABC2FXsBDWLdLtXqUjO9shvk984hPxjfV1T5btq4jBntgSW9CLLrrIKXH1qtWOBC9OIRCXOITgfcaCWyBYtq+07LOr1q0ro60HpPJuVuMw8ujm9Z2eHtbths46a9rXS0rKJyDVkom51jwT0ZrBRa1dswbb2npHz5uWkuLo5lnIssSOubau/qE33po72y2j05t0/IO0qdfbxaD4HuWK1NuZjblB/7Ih2gRUDEOQdudwrhzrzoDIJX1zkw6mt48BApCJtNKAZN5BNzgUK4YhTPp/n5ebw8JMoykLTngIORLu1Z/9LDEFrlVDkRKjkAgDSIhJKanm4KHDQlNOP/2OdnD1+gvZruxuf4VYpD/bNVWVjw8eNPAspMJQDf660jY+JWqWumrmVeh441V5xX5VjMXGrt17Qilp6WZ2Xv7dkO5cTK5kYa1PvdxiOSDqDzzmzktPTXuY/KBxtTU1Bm0ixVAdU//PqAsZWMRSY936jWrRkmVqybLloT0lpUZrMLQU0v2mSIph/XC3ce3NC1whgJxqxZTbjDR7khyT+rW/j4jWbFhj+KYx4K+BcFvCx9qfdtx+1xLvcfvoul1xp3PTgetefPHF5cmJyb9D6kgozM8PxcfHeURvi3umMz2VVX4W24ibO8IxT+J/hKcQcWS3bHjppZdYpXdUDO70utsVOUYXCDnZLKZN9Hi9V+GVFkxPS/WWlpUp8VLjBXbUJ+PGjVOnnHKKY8kAMbNgGDSQ9sUDbG745e9r7cL29zZY6HZU1jH30S6ST6ZYW7ft8MiAwjGsQ0xZUFRTp07FWqPcGUBTUlJsdnLW7X/1pZdeNoiTICqGDu2tj9Hz6LRYVwig3m+Hbcw3obcN0Deda1zVAwtqeTyfZASD/7jHOi30OPtBE+9x9sB6Ul06togRxiWXXLIRE7KhiYn9CDzuM6ZOPk3968VXDlgxCPGKJCV6QghL7F9Z7a8ysAy4VfSE7PIS97VNJKYAC0pn4Y/KOqClTps0UT37z+dJMSTCleO66qzy40zhEJYckqk4CzfP/Otf/1oZ4VTcKfsY/hGVTgidSCG2uKPQRdvjx4zxbNy0BRvrYicmg0iCom6QAUbUJ0K60q5t5FTavHnzo2Gi60sDClX+wMYcibYjG3M8HENn8DwX0H4LYnambMcQ5w+1aE28HyrcH+3NZCouU9azzjrrQVaqBzQ0NtnYfZqjRg4Xhwj1xpvzmJLX4h6ag9trsmtCRrryUAh94v8tXbr0tT5KTg7pYts6GdOpG5qw+q+qrvEQ6EddeP456qVX/usQE+ZlDjmJZM8m+k8TaXcpgWS+HiaCPqViaN9bBhcV3YJzBwNHg1VYWOC55OIL1D///WKbMwhmcU0QL8/IkexxECEITQPhKCtvwkplT3iG0qfa5qockMTfQ4Uyk8W2dI5VSv/iM4QFzhja3ywqifCz6VNqrfbPJpLvmngjQe04vMYlTLx+rmN1/Ab0uaEq/D5lZV/MkWacOVWNGTVSzZ3/DrrPveh6G7EA8IUGDuxvJiXEL33zzTcfcsvoY813dINI5zmEIJyDhJ6/a9dOnCUajL0lperUiaeoQgj3f2/MJdHkDsWAgyttlJ2SnGQU5OXB0c0X4ThSi0Al5fQpcnLxPv3003+JlH49M41QPU4g+8or1NjRJ6mkxCT1yn9fc6w1ZHYSh+4a6TGUlZnhQa8yC9KdHTYb7HULi97qA7hzB9DzLodcZaHtBXGpJnRnNBL8WFQRL3IMHj6hhF0HuhOvRb3VI06sctznHDN8+PDNkydPzpOFtEWLFpkjhg+DmPKVOE30J2gMcRhYpGmViFIq4PcH6fze7dt3fichNf13QCKmWpG+xFIH3q+2kJW9BS9k5H3uuef86KTvnDRp0g8hnsBbb73lGzRwgOPmnJOdreR7IvELKioqHScQXKFDWGqw6FazwoyKPTVclz5FuhKPYTo2u7///e9HYea3Chtr63//+5+ZnZlpDBkyUOXm5ODKPYhZSbTasatY7di5S6FiUenpaTY6exXnix08aNSoXZKNgml6X1IzHPToRYUgqgTIdyb63qWSaeIXv/jFdPpd4Mc//vHCviitH9SACP/REm+EwB1nl4k0F0L3NxSdWR5SnqSGMdD/kUp9u/JiaC/2nmLbmgRBifkYHd9iyurdvmPnjv++/uajELUQU0/IyZkqIr3IZ29OG/3yLCDcT6ObJsdZPw8RtghnWNymx+VOEnOCBSmVhnuwLEaJ3hqXYQOTuV++8t/XIx1I5LbHchMnEIXX2EzaZojeVhxBNm3apBKTEng+HlkYVJkZGQrLFAbNQrFPDiIpetau3/Cfx/705Ha3chCb+7Uvfjp9gYH+TZ7LlL/85S/VLHQWEsrzmbCKoSd9ri+216mTKwn12QrqivUKAo7RPCv+p+Ew8R7OBDaSr8Q3Jb34HNWMk4RYMWRnZSAZJkJiEsdWguW01Gdk5dw/YcKEZbzQUSKuijfU0TZO6ywmgLh6EpmXyOfEVoXce0TAvKwmjgMhFv2ScQh5EqkwFksMInHFGH/7298cywXi7Kqc7Cxn0Uli73KNeKhJ5Nj5k0497XbaGCWDgdSFXRrnqC4ObaPUl2OV7B8KUcv9aEfoD3/4w6PopsczBbd4fuY/nn0WfW6DGoy0K+1KZjEtNjZGFtnI8NFqENRdJSYnXUP4jQ2YDppynPbV0TYJgtznNupmUU+JqhbASmMag8lw+uKTN9100zb6CT87A3Wfq3dPK6Ql3p4ieBxdT+cOQjQE565zzI4gKlKsf1OJm/AaDPAlAI5MXWNjYq0hQ4Z4YuMTv4sE8ucf/vCHCbz8Acj3qAM1nm6S+SJJXqaOoEGqkeNCCB393N1j4gpFLN/6JEinBb1urMQlQI9NivXr1BtvvKFEQty9Zw8utZL1IiqUmppmouN97YwzzvgiN4tHmjxA/pByggwa1JF1LPL59IENApZsDY4dsgSlv+aLX1QMMopg9E67JJg7sZNtD2OGx+urS05J+eGZ00/bXVtbmS2kS/vEJDBNcGLr8WDXW5C4daFeqdQzioGBwHfBJGZWK+69995t3Oe4j8dwJKz6ROc6UgX1b72CgDxnmYanQFDbmcYlY05m5OTkGLLSj8+/Yz4mnmsQphitizeXTVSvYSx+yEvQ5zfa8i7T8dNol0VIQ0nPQyjDHLzvypydF12k3SBTd29dQ8O3fnPvvQ/2+UZRQcj2fixMbmIwCUndUTeQDSKLzBfblaiKRFdPu+U3kRoXPvjgg2ceD+06Sh2d/nqUc47rnzXxHtePr1uVd9QNvKB3ImH8EJWDLEj5IGFDTMfEBtSJx2DbrUit0QSVeQo1xBfdlfVu3Emk0G6c3rNTcYbwYuYmhHo17fqrtItYBlF8OnnCREoU8zGIV3J/GdjsNiHdjyJc5B4W5oz2GXj7kq0oUq1H2sXAOB2E3kLNEGAw8QnpStsYXJx2MUBK2/zMYqJYSLuFNv4OtYQ86w9FJdKzp+dkkJDO4nYY4SPZT0i9bnusNPG2R+PE/u50aqTeKF7Ol5mCni2Ey4vM9DuV9DuxMg31iGSI9xPC1OZTv/SlL9WxMNP+xeirCIlelvQ7uS/SrotFAuS7eLE5wWOQ4MWcwolFgQT8pXnz5v0lggHlo2i7M1jSlido15d5TgEGGJN2GTKYoAMWnbsMKFG7d+9eAlFPR8XScpw8s48Czz5zT028feZRfCgVkectBCWLX/excPFFpNw4eYnD0i4JGgLP4PH0faTeMs5xzv9Qatazmzj9GGuGOIjoUYq6WuxaxYtLPjkm4RGr0QHfsnbt2j8dJ6QriEi7DJ5XDM/qMfarsVV2nFtkEVSemQyUSLsLeGZfYMDcyfkyCJ3wEiNtPK43p8Me1y3Qle8uAgfIlBe6iIvPQPcpRCzOBEvQ824OF3jgvO7e4CM6/0B9kQonI+FeRD0ywnVZz4r5v1lY3H0cka4L44F28bwupV1XQ8DjkYBjGFDWQrzP4xL9GCfLzOTAue7F+lMjoBHoOwjIC9qh2VQ4UIz8fjxunbZLGiOkezw2ijof1C7xRuNYrNsWiFi+dvg83XP0p0ZAI9B3EJCXVV5idz9RXl4hWKdNQlJhojoR2ibtOjB4yCAZbtvxOlDSHL1pBDQCGoHjAwEhWk22x8ez0rXUCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjoBHQCGgENAIaAY2ARkAjcIIh8P8qbi5OPJkzkgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sys_final = sys_init.copy()\n", "sys_final.atoms[diffusing_atom].coords = coords_target\n", "view(sys_final, width=350, height=350, direction=\"tilt_c\", show_regions=True)" ] }, { "cell_type": "code", "execution_count": 5, "id": "f55763e7-b1f4-47f5-881e-f11a09545d2c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[10.04|12:20:48] JOB LiTiS2_init STARTED\n", "[10.04|12:20:48] JOB LiTiS2_init RUNNING\n", "[10.04|12:20:57] JOB LiTiS2_init FINISHED\n", "[10.04|12:20:57] JOB LiTiS2_init SUCCESSFUL\n", "[10.04|12:20:57] JOB LiTiS2_final STARTED\n", "[10.04|12:20:57] JOB LiTiS2_final RUNNING\n", "[10.04|12:21:05] JOB LiTiS2_final FINISHED\n", "[10.04|12:21:05] JOB LiTiS2_final SUCCESSFUL\n", "[10.04|12:21:05] job_init.ok()=True, job_final.ok()=True\n" ] } ], "source": [ "sett_opt = plams.Settings()\n", "sett_opt.input.ams.Task = \"GeometryOptimization\"\n", "sett_opt.input.ams.GeometryOptimization.OptimizeLattice = \"No\"\n", "\n", "\n", "job_init = plams.AMSJob(\n", " settings=sett_opt + make_engine_settings(),\n", " molecule=sys_init,\n", " name=\"LiTiS2_init\",\n", ")\n", "job_init.run()\n", "\n", "job_final = plams.AMSJob(\n", " settings=sett_opt + make_engine_settings(),\n", " molecule=sys_final,\n", " name=\"LiTiS2_final\",\n", ")\n", "job_final.run()\n", "\n", "plams.log(f\"{job_init.ok()=}, {job_final.ok()=}\")\n", "assert job_final.ok(), \"Final-state optimization FAILED\"" ] }, { "cell_type": "markdown", "id": "3fe849ee-844b-4fc3-845c-bab3bd21e0ff", "metadata": {}, "source": [ "#### Relaxed initial geometry:job_final" ] }, { "cell_type": "code", "execution_count": 6, "id": "6c3d0e65-ec6d-44b4-8782-29b9fa5f88ac", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "relaxed_init = job_init.results.get_main_system()\n", "\n", "view(relaxed_init, width=350, height=350, direction=\"tilt_c\", show_regions=True)" ] }, { "cell_type": "markdown", "id": "5a37636e-86fe-49cb-92b0-d618bdf8338a", "metadata": {}, "source": [ "#### Relaxed final geometry:" ] }, { "cell_type": "code", "execution_count": 7, "id": "1fab8e59-841e-43fc-a4b0-06b5ba6164aa", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "relaxed_final = job_final.results.get_main_system()\n", "view(relaxed_final, width=350, height=350, direction=\"tilt_c\", show_regions=True)" ] }, { "cell_type": "markdown", "id": "85a38400", "metadata": {}, "source": [ "### 6) Run the NEB calculation\n", "\n", "Use optimized initial/final systems with 19 images and 100 iterations.\n" ] }, { "cell_type": "code", "execution_count": 8, "id": "f4ed7d46", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[10.04|12:21:07] JOB LiTiS2_NEB STARTED\n", "[10.04|12:21:07] JOB LiTiS2_NEB RUNNING\n", "[10.04|12:22:33] JOB LiTiS2_NEB FINISHED\n", "[10.04|12:22:33] JOB LiTiS2_NEB SUCCESSFUL\n", "LiTiS2_NEB: OK\n" ] } ], "source": [ "sett_neb = plams.Settings()\n", "sett_neb.input.ams.Task = \"NEB\"\n", "sett_neb.input.ams.NEB.Images = 19\n", "sett_neb.input.ams.NEB.Iterations = 100\n", "\n", "neb_systems = {\"\": relaxed_init, \"final\": relaxed_final}\n", "\n", "job_neb = plams.AMSJob(\n", " settings=sett_neb + make_engine_settings(),\n", " molecule=neb_systems,\n", " name=\"LiTiS2_NEB\",\n", ")\n", "res_neb = job_neb.run()\n", "\n", "assert job_neb.ok(), \"NEB calculation FAILED\"\n", "print(f\"{job_neb.name}: OK\")" ] }, { "cell_type": "markdown", "id": "eeb47089", "metadata": {}, "source": [ "### 7) Extract NEB results and barriers\n", "\n", "Print NEB summary data and convert left/right barriers from Hartree to eV.\n" ] }, { "cell_type": "code", "execution_count": 9, "id": "b9084e85", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'Climbing': True,\n", " 'Energies': [-16.564932431837118,\n", " -16.564867480657007,\n", " -16.56402543475297,\n", " -16.562632969358706,\n", " -16.56075920164935,\n", " -16.55855629234889,\n", " -16.556233613906592,\n", " -16.554024662385785,\n", " -16.552165529324235,\n", " -16.55093315338219,\n", " -16.55050575343035,\n", " -16.550933153320546,\n", " -16.552165530379597,\n", " -16.554024663519893,\n", " -16.556232494627086,\n", " -16.558556296662054,\n", " -16.560759202270802,\n", " -16.562632966748797,\n", " -16.564025435644428,\n", " -16.564867480915478,\n", " -16.564932432066765],\n", " 'HighestIndex': 10,\n", " 'HistoryIndices': [1012,\n", " 993,\n", " 994,\n", " 995,\n", " 996,\n", " 997,\n", " 998,\n", " 999,\n", " 1000,\n", " 1001,\n", " 1002,\n", " 1003,\n", " 1004,\n", " 1005,\n", " 1006,\n", " 1007,\n", " 1008,\n", " 1009,\n", " 1010,\n", " 1011,\n", " 1013],\n", " 'LeftBarrier': 0.01442667840676748,\n", " 'Molecules': [Molecule('Li17S36Ti18' at 0x13ffc6be0),\n", " Molecule('Li17S36Ti18' at 0x13ffc6100),\n", " Molecule('Li17S36Ti18' at 0x13ffc61f0),\n", " Molecule('Li17S36Ti18' at 0x13ffc6df0),\n", " Molecule('Li17S36Ti18' at 0x16b641b20),\n", " Molecule('Li17S36Ti18' at 0x16b7ac970),\n", " Molecule('Li17S36Ti18' at 0x16b7a57c0),\n", " Molecule('Li17S36Ti18' at 0x16b7ce610),\n", " Molecule('Li17S36Ti18' at 0x16b7f6460),\n", " Molecule('Li17S36Ti18' at 0x16b7e82b0),\n", " Molecule('Li17S36Ti18' at 0x16b805100),\n", " Molecule('Li17S36Ti18' at 0x16b805160),\n", " Molecule('Li17S36Ti18' at 0x16b81ad60),\n", " Molecule('Li17S36Ti18' at 0x16b819bb0),\n", " Molecule('Li17S36Ti18' at 0x16b821a00),\n", " Molecule('Li17S36Ti18' at 0x16b870850),\n", " Molecule('Li17S36Ti18' at 0x16b84e700),\n", " Molecule('Li17S36Ti18' at 0x16b883550),\n", " Molecule('Li17S36Ti18' at 0x16b8873a0),\n", " Molecule('Li17S36Ti18' at 0x16b8921f0),\n", " Molecule('Li17S36Ti18' at 0x16b8b1070)],\n", " 'ReactionEnergy': -2.2964741219766438e-10,\n", " 'RightBarrier': 0.014426678636414891,\n", " 'nImages': 19,\n", " 'nIterations': 100}\n", "Left TS barrier : 0.392570 eV\n", "Right TS barrier: 0.392570 eV\n" ] } ], "source": [ "from pprint import pprint\n", "\n", "assert job_neb.ok(), \"Looks like NEB calculation failed?\"\n", "\n", "neb_res = res_neb.get_neb_results()\n", "pprint(neb_res)\n", "\n", "ha2ev = Units.conversion_factor(\"hartree\", \"eV\")\n", "left_barrier_ev = neb_res[\"LeftBarrier\"] * ha2ev\n", "right_barrier_ev = neb_res[\"RightBarrier\"] * ha2ev\n", "\n", "print(f\"Left TS barrier : {left_barrier_ev:.6f} eV\")\n", "print(f\"Right TS barrier: {right_barrier_ev:.6f} eV\")" ] }, { "cell_type": "markdown", "id": "15bc6df1", "metadata": {}, "source": [ "### 8) Plot the NEB energy profile\n", "\n", "Plot relative image energies (eV) and mark the highest-energy image.\n" ] }, { "cell_type": "code", "execution_count": 10, "id": "1b62f0de", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Left barrier (eV): 0.392570\n", "Right barrier (eV): 0.392570\n", "Highest image index: 10\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "neb_res = res_neb.get_neb_results()\n", "energies_au = neb_res[\"Energies\"]\n", "ha2ev = Units.conversion_factor(\"hartree\", \"eV\")\n", "energies_ev = [e * ha2ev for e in energies_au]\n", "\n", "ref = energies_ev[0]\n", "rel_ev = [e - ref for e in energies_ev]\n", "\n", "x = list(range(len(rel_ev)))\n", "hi = neb_res[\"HighestIndex\"]\n", "\n", "fig, ax = plt.subplots(figsize=(7, 4))\n", "ax.plot(x, rel_ev, \"-o\", lw=1.8, ms=5, label=\"NEB images\")\n", "ax.scatter([hi], [rel_ev[hi]], s=90, zorder=3, label=\"Highest-energy image\")\n", "ax.set_xlabel(\"Image index\")\n", "ax.set_ylabel(\"Relative energy (eV)\")\n", "ax.set_title(\"Li diffusion in LiTiS2: NEB profile\")\n", "ax.grid(alpha=0.3)\n", "ax.legend()\n", "fig.tight_layout()\n", "ax\n", "print(f\"Left barrier (eV): {neb_res['LeftBarrier'] * ha2ev:.6f}\")\n", "print(f\"Right barrier (eV): {neb_res['RightBarrier'] * ha2ev:.6f}\")\n", "print(f\"Highest image index: {hi}\")" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.16" } }, "nbformat": 4, "nbformat_minor": 5 }