{ "cells": [ { "cell_type": "markdown", "id": "a7ce02fb-8404-4c4a-b32c-91c1df95dd56", "metadata": {}, "source": [ "# Optimizer - spectrum" ] }, { "cell_type": "code", "execution_count": 1, "id": "6e245eb0", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import nexus as nx\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.signal import argrelextrema\n", "\n", "data = np.loadtxt('reference_spectrum.txt')\n", "\n", "detuning_reference = data[:,0]\n", "intensity_reference = data[:,1]\n", "\n", "plt.plot(detuning_reference, intensity_reference)\n", "plt.xlabel('detuning (Gamma)')\n", "plt.ylabel('rel. reflectivity')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 2, "id": "fa52e5ca", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# ------------------------- layers --------------------------\n", "lay_Fe_top = nx.Layer(id = \"Fe top\",\n", " material = nx.Material.Template(nx.lib.material.Fe_enriched),\n", " thickness = 1)\n", "\n", "lay_Fe_bottom = nx.Layer(id = \"Fe bottom\",\n", " material = nx.Material.Template(nx.lib.material.Fe_enriched),\n", " thickness = 1)\n", "\n", "site = nx.Hyperfine(id = \"no interactions\")\n", "\n", "lay_Fe_top.material.hyperfine_sites = [site]\n", "\n", "lay_Fe_bottom.material.hyperfine_sites = [site]\n", "\n", "\n", "lay_B4C_top = nx.Layer(id = \"B4C top\",\n", " material = nx.Material.Template(nx.lib.material.B4C),\n", " thickness = nx.Var(value = 4, min = 0, max = 10, fit = True, id = \"B4C top\"))\n", "\n", "lay_B4C_mid = nx.Layer(id = \"B4C mid\",\n", " material = nx.Material.Template(nx.lib.material.B4C),\n", " thickness = nx.Var(value = 4, min = 0, max = 10, fit = True, id = \"B4C mid\"))\n", "\n", "lay_B4C_bottom = nx.Layer(id = \"B4C bottom\",\n", " material = nx.Material.Template(nx.lib.material.B4C),\n", " thickness = nx.Var(value = 16, min = 0, max = 20, fit = True, id = \"B4C top\"))\n", "\n", "# the initial guess for the top layer is 3 nm here\n", "# set it to a Var object with reasonable bounds\n", "lay_Pt_top = nx.Layer(id = \"Pt top\",\n", " material = nx.Material.Template(nx.lib.material.Pt),\n", " thickness = nx.Var(3.2, min = 0, max = 10, fit = True, id = \"Pt top thickness\"))\n", "\n", "lay_Pt_bottom = nx.Layer(id = \"Pt bottom\",\n", " material = nx.Material.Template(nx.lib.material.Pt),\n", " thickness = 15)\n", "\n", "\n", "lay_substrate = nx.Layer(id = \"substrate\",\n", " material = nx.Material.Template(nx.lib.material.Si),\n", " thickness = nx.inf)\n", "\n", "cavity = nx.Sample(id = \"cavity\",\n", " geometry = \"r\",\n", " layers = [lay_Pt_top,\n", " lay_B4C_top,\n", " lay_Fe_top,\n", " lay_B4C_mid,\n", " lay_Fe_bottom,\n", " lay_B4C_bottom,\n", " lay_Pt_bottom,\n", " lay_substrate],\n", " angle = 0.1505)\n", "\n", "beam = nx.Beam()\n", "beam.LinearSigma()\n", "\n", "exp = nx.Experiment(beam = beam,\n", " objects = cavity,\n", " isotope = nx.lib.moessbauer.Fe57,\n", " id = \"my exp\")\n", "\n", "# initialize a reflectivity object used for the optimization\n", "angles = np.linspace(0.01, 0.4, 1001)\n", "\n", "reflectivity = nx.Reflectivity(experiment = exp,\n", " sample = cavity,\n", " energy = nx.lib.energy.Fe57,\n", " angles = angles)\n", "\n", "intensity = reflectivity()\n", "\n", "# third minimum\n", "min_index = np.squeeze(argrelextrema(intensity, np.less))[2]\n", "\n", "cavity.angle = angles[min_index]\n", "\n", "plt.semilogy(angles, intensity)\n", "plt.xlabel('angle (Gamma)')\n", "plt.ylabel('reflectivity')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 3, "id": "806118c6", "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAloAAAGwCAYAAABxbMuTAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/GU6VOAAAACXBIWXMAAA9hAAAPYQGoP6dpAACff0lEQVR4nOzdd3wUdfoH8M9sz6b33iAQeq+iAopUOTgLqByCet6p2H6cDU8pNjwr2NBDBfTsFUVAkKaidEIntJCE9LrJ7mb7/P7YzCQhCewmuzszu8/79cqLsJndeWZ3dufZb3m+DMuyLAghhBBCiMfJhA6AEEIIIcRfUaJFCCGEEOIllGgRQgghhHgJJVqEEEIIIV5CiRYhhBBCiJdQokUIIYQQ4iWUaBFCCCGEeIlC6AA6w+FwoLi4GKGhoWAYRuhwCCGEEOIClmVRX1+PpKQkyGT+3eYj6USruLgYqampQodBCCGEkA4oLCxESkqK0GF4laQTrdDQUADOFyosLEzgaAghhBDiirq6OqSmpvLXcX8m6USL6y4MCwujRIsQQgiRmEAY9uPfHaOEEEIIIQKiRIsQQgghxEso0SKEEEII8RJKtAghhBBCvIQSLUIIIYQQL6FEqwPmzp0LhmHAMAxUKhWysrLwzDPPwGazAQBWr16NiIiIyz7O4sWLMWDAAO8GSwghhBDBSLq8g5AmTpyIVatWwWw2Y/369Zg3bx6USiUWLFggdGiEEEIIEQlq0eogtVqNhIQEpKen495778W4cePwww8/YPv27bjjjjug0+n4Vq/Fixe3uv/q1auxZMkSHDp0iN9u9erVAICCggJMmzYNISEhCAsLw4wZM1BWVsbfl2sJe++995CamgqtVosZM2ZAp9P56OgJIYQQ4gpKtDwkKCgIFosFV1xxBZYtW4awsDCUlJSgpKQEjzzySKvtZ86ciX/961/o3bs3v93MmTPhcDgwbdo0VFdXY8eOHdi8eTPOnTuHmTNntrj/mTNn8OWXX+LHH3/Exo0bcfDgQdx3332+OlxCCCGEuIC6DjuJZVls2bIFP//8Mx544AGoVCqEh4eDYRgkJCS0e7+goCCEhIRAoVC02G7z5s04cuQI8vLy+HUcP/roI/Tu3Rt79+7F0KFDAQAmkwkfffQRkpOTAQBvvvkmpkyZgldfffWS+yWEEEKI71CLVgetW7cOISEh0Gg0mDRpEmbOnNlmF6G7Tpw4gdTU1BaLZffq1QsRERE4ceIEf1taWhqfZAHAyJEj4XA4kJub2+kYCCGEEOIZ1KLVQWPHjsWKFSugUqmQlJQEhYKeSkIIIYS0RC1aHRQcHIysrCykpaW1SrJUKhXsdvtlH6Ot7Xr27InCwkIUFhbytx0/fhy1tbXo1asXf1tBQQGKi4v5/+/atQsymQzZ2dkdPSRCCCGEeBglWl6QkZEBvV6PLVu2oLKyEkajsd3t8vLykJOTg8rKSpjNZowbNw59+/bFrFmzcODAAezZswe33347Ro8ejSFDhvD31Wg0mDNnDg4dOoTffvsNDz74IGbMmEHjswghhBARoUSrDQaLAcwSBswSBgaLwe37X3HFFbjnnnswc+ZMxMbG4qWXXmpzuxtvvBETJ07E2LFjERsbi88++wwMw+Czrz7Db+W/YfCIwRg3bhy6dOmCL774osV9s7KycMMNN2Dy5MkYP348+vXrh3feeadDx9sRrj5HnX0ufcGfjoUEDjofibfROeYZNLCoA7h6V5eyYsUKrFix4pLbqNVqfP31161uT01LBW51/l6yoATBquA273/vvffi3nvvvWwshBBCCBEGtWgRQgghhHgJJVqEEEIIIV5CXYdtkDEyjE4fzf8utv0vXrzYIzW7OsPV50jo59IV/nQsJHDQ+Ui8jc4xz2BYlmWFDqKj6urqEB4eDp1Oh7CwMKHDIYQQQogLAun6TSkqIYQQQoiXUKJFCCGEEOIllGi1wWAxIPblWMS+HCtI7RCh9+8KV2OkYyHEO+h8JN5G55hn0GD4dlQaKwN6/65wNUY6FkK8g85H4m10jnUetWgRQgghhHgJJVqEEEIIIV5CiRYhhBBCiJdQokUIIYQQ4iU0GD7AnK3QY8X2szhZWoes2BDcf00WsuJChQ6LEEII8UuUaLVBxsgwJGkI/7u/7H/v+WrcuWov6s02AMDRojr8fKwMq+4YihFdor0So9DPpSv86VhI4KDzkXgbnWOeQUvwBIjyOhMmLf8NVQYLhqRHYvbIdHy6uwC786oRplFg0/+NRkK4RugwCSGEBIBAun5Tihoglqw7jiqDBT0SQvG/vw/HtAHJWHPnMPRPCUedyYanvj8idIiEEEKI36FEKwAcLKjBT4dLwDDAazMGQKOUAwA0SjlendEfchmDX06UY9/5aoEjJYQQQvwLJVptMFqNyFiWgYxlGTBajaLb/9y5c8EwDP8THR2NiRMn4vDhw20+3pubT6B41QM4/+L1sJSfa/G3rrEh6F69CyUfzcfIHimIiIjAkCFDsGzZMhiNbR/79u3bwTAM0pamXfY5Evq5dIWrMUrhWEjgoPOReBudY55Bg+HbwLIs8nX5/O9i3P/EiROxatUqAEBpaSmeeuopXH/99SgoKGixXX6VAV+veBHykChYy/NaPc7s2bOx/dtvoR16MzQZ9+DzB8ej9sIZLFu2DBkZGZg+fXq7cRbqCgHLpZ8joZ9LV7gaoxSOhQQOOh+Jt9E55hnUoiVRarUaCQkJSEhIwIABA/DEE0+gsLAQFRUVLbZ7dsWnaMg7iOvueKTVY3z55Zf45JNP8Plnn+HGO++HOrE7fi1hMG3aNGzduhVjx45tdZ/z58833f4fAIuBf/79nwAAs9mMBx98EHFxcdBoNLjyyiuxf99+/r6/7vgVDMPgp59+Qr9+/aDRaDBixAgcPXrUY88LIYQQIiaUaPkBvV6P//3vf8jKykJ0dFOZhtLSUnz88pOIuf5fmDoos9X9PvnkE2RnZ2PatGm4ZWgaAGDd4WI4HCwYhkF4eHir+6SmpuKbb75x/ud+AP8CXnr1JQDAY489hm+++QZr1qzBgQMHkJWVhenXTwcuanF+9NFH8eqrr2Lv3r2IjY3F1KlTYbVaPfJc+Ls6kxUf/J6HhWuP4vM9BTBZ7UKHRNqRV2nAa5tP4Zkfj+P307QwLyGBiroOJWrdunUICQkBABgMBiQmJmLdunWQyZy5M8uyuPGWvyGo/0REpvfAlVmt62SdPn0a2dnZAICruscgVKNAWZ0Ze89XY3g7dbXkcjmioqKc/wkGEASEh4fDYDBgxYoVWL16NSZNmgQAWLlyJTZt3gQcBDCq6TEWLVqE6667DgCwZs0apKSk4LvvvsOMGTM88Mz4r9Nl9bj9wz0o0Zn421b/cR4f3TkMcWFUmkNMvj1wAU98cwQWuwMA8OHOPNw6LA3PTe8DuYwRODpCiC9Ri5ZEjR07Fjk5OcjJycGePXswYcIETJo0Cfn5zv70N998E4Xl1QgfcTPG94pHkKp1Tt28z12tkGNC7wQAwLrDJW7Hc/bsWVitVowa1ZRRKZVKDB4yGGjZm4mRI0fyv0dFRSE7OxsnTpxwe5+BpNpgwewPnElWWpQWc6/IQHSwCidL63Hnmr0w26hlSyx+PVWBR746BIvdgZFdonHDoGQwDPDZngK8silX6PAIIT5GiZZEBQcHIysrC1lZWRg6dCjef/99GAwGrFy5EgCwdetWFJ48hIJX/oo3/zYUWVlZAIAhQ4Zgzpw5AIDu3bvj5MmT/GNO7Z8EANhwtAQOBw18FJOn1x5FaZ0JXWKDsXbeKCz+S298d98oRGqVOFpUh+W/nBY6RAJn1+7j3xyGgwVuHJSCT+8ejtdmDMDrMwYAAFZsP4sDBTXCBkkI8SlKtNrAMAx6xfZCr9heYBjfN/N3ZP8Mw0Amk6GhoQEA8PDTLyDxjjeQ9ve3sHvvfqxfvx4A8MUXX+D5558HANx22204deoU1q5dCwC4oms0QtQKVOotOFqkg06na3NfKpUKANA9qjsfY9euXaFSqbBz505+O6vVigP7DyAuM67FsezatYvfpqamBqdOnULPnj3deYo8ytXnW6jzYn9+NX46XAIZA7xxy0BEBjuf/7RoLZbe0BcA8P7veSiqbfBZTKRt/91xDiU6E9KjtXhueh/+PJk+MBk3DU4BACz+4ZhHZnAJ/TlF/B+dY55BY7TaoFVqcey+Y6Lev9lsRmlpKQBnsvLWW29Br9dj6tSpAIBTBjVUsRm4unsshgzsj/PnzwMAunbtipQU5wf+jBkz8N133+HWW2/FU089hfHjx6NPuAVb/9iHm6c9h/8sfLzN8g7p6elgGAZPxj+JyZMnw2F2ICQkBPfeey8effRRREVFIS0tDS+99BIajA04+8FZREZGYvv27QCAZ555BtHR0YiPj8e///1vxMTEXLKMhLe5+noLdV4s33IGAHDz4FT0SW45QWFC7wSM6BKFXeeq8c62M3j+r319Hh9xqjFYsGqns4TKgkk9EaSSt/j7E5N6YP2REhy+oMOOUxUYkx3Xqf0J/TlF/B+dY55BLVoStXHjRiQmJiIxMRHDhw/H3r178dVXX2HMmDEAgO25zoFRY7rHtvsYDMPg008/xWuvvYbvv/8eo0ePxg8LZ0G381Nos0ZgwoQJbd4vOTkZS5YswRNPPIH4+Hjcf//9AIAXX3wRN954I2bPno1BgwbhzJkz+PnnnxEZGdni/i+++CIeeughDB48GKWlpfjxxx/5VjLS0rkKPX49VQGGAe6/JqvV3xmGwUPXdgcAfHPgAmoMFl+HSBp9vf8CDBY7eiaGYULv+FZ/jwlR47Zhztm97+446+vwCCECoUWl/ZDBbMOAZzbBamex9V+j0SU2xOX7FlQZcfXL26CQMTi48DqEapQei2v79u0YO3YsampqEBER4bHH9WdLfjyGVTvPY1zPOLw/Z2ib27Asiylv/I7jJXX49+SeuPvqLj6OkrAsi2tf3YFzlQYsvaEvbm1MqC5WXNuAK/+zFQ4Wbr83CfEngXT9phatNhitRvR+pzd6v9NbsCV4OrP/AwU1sNpZJEcEITMm2K37pkVrkRkTDJuDxZ9nqzodY/PtTDZTu9sJqSPH4ovzwmS14+v9FwAAs0dmtLsdwzC4dbjzwv59TpHX4yKt7c6rxrlKA7QqOT+ppC1JEUF8l+EX+wo7tU+hP6eI/6NzzDMo0WoDy7I4XnEcxyuOC7YET2f2vyfPuTj08MyoDg1gHNFYQ2vvJRaZdjVGoZ9LV4j1WH47XYl6kw2J4RpclRVzyW2n9E2EQsbgWHEdzpTXez020tI3jQnxX/onIUR96aGvM4Y4x0j+mFPcqfNICu8tIm10jnkGJVp+aHdjojUsM6pD9x+a4RxTtfe8Z6ehXz36arAsS92GLlp/xFnPbFKfRMguU+QyKliF0Y3j8b4/WOz12EgTm92BX06UAQCmDUi+7PZjsuOgVclRrDPhSFHbM3sJIf6DEi0/Y7LakVNYC6AziZbzfkeLdDBabJ4KjbjBbLPjl+POi/eUfgku3WfaQOdFnkvQiG/sOV+NGqMVkVol/yXlUjRKOcY2dh9uOFrq7fAIIQKjRMvPHL6gg8XmQEyI2u3xWZyUyCAkhmtgc7B80kZ8a+eZStSbbYgPU2Ng6uUv3gAwJjsWChmDc5UGnK80eDlCwtl0zJkQX9szHgq5ax+pE/o4k+eNR0upS4YQPydoorV48WIwDNPip0ePHkKGJHncuKphmZEdLjDHMAzfqrU3j6pYC2FHY3mOcT3jL9ttyAnTKDGksUVle26512IjTViWxebGlkduCStXXNMjDiq5DHmVBpyjpJgQvyZ4i1bv3r1RUlLC//z+++9ChyRphy/UAgAGpEZ06nG4LpD9tFyIIH47XQkAuPoSddDawnVJbcutuMyWxBPOVRpQVNsAlVyGKy8zYaG5ELWCT4p3nqn0VniEEBEQvDK8QqFAQoJr3wTNZjPMZjP//7q6Oq/ExDAM0sPT+d99rTP7P3zBObi2X0pEp2Lo35ioHb5QC5ZlW8XhaoxCP5euENuxFFYbca7SALmMwciu0W7dd2yPOCzdcBJ/nqtCg8Xeqjo58aw/GpOkwemRbj/Xo7Ji8MfZKvx2uhK3X6J8R3uk8N4i0kbnmGcInmidPn0aSUlJ0Gg0GDlyJJYuXYq0tLaL/S1duhRLlizxekxapRbnHz7v9f14ev/l9SaU6ExgGLRaqsVdPRLCoJLLUGu0orC6AWnR2g7FKPRz6QqxHcvvjRfvgakRCHOzYGy3uBAkhmtQojNhf34NruzmeisLcR/3WnXkeb4yKwYv/5yLXWerYLM7XB7fxZHCe4tIG51jniFo1+Hw4cOxevVqbNy4EStWrEBeXh6uuuoq1Ne3XQdowYIF0Ol0/E9hYecK/vmbI42tWVmxIZet5XM5KoUMPRNDAQCHGrsjiW/83thteFU397oNAee3zuGNs0335LVfcJZ0nr1ZUd8r3Gx5BJxfhsKDlKg323CYyjwQ4rcETbQmTZqEm2++Gf369cOECROwfv161NbW4ssvv2xze7VajbCwsBY/pMmhxkSrb0rnWrM4XPfjYUq0fIZlWb4OmrvdhpzhjQVnd+W1X3CWdN6xYh3qTDaEahTo24EWZLmM4RO0P2icFiF+S/DB8M1FRESge/fuOHPmjKBxNFgbMHTlUAxdORQN1gbJ7J9LiPp3cnwWp19jwsYlcM25GqPQz6UrxHQsBdVGVOrNUMll/PPvLq5FK6ewFiar3ZPhkWa4FRiGZUS53e3H4Wb37st3f9KJFN5bRNroHPMMwcdoNafX63H27FnMnj1b0DgcrAP7ivfxv0th/yzLNhsI75kWLW5A/NEiHewOFvJmZQZcjVHo59IVYjoWrhp/35RwaJQdG8ieGROMmBA1KvVmHCqs5Vu4iGcdaJyRO9iFIqXt4WYeHsivgcPBulzKA5DGe4tIG51jniFoi9YjjzyCHTt24Pz58/jjjz/w17/+FXK5HLfeequQYUlSUW0Dqg0WKGQMeiZ6pku1a2wINEoZjBY7CqppQVFf2NdYB21IJy7eDMNgeBdunBZ1H3oDy7LY39gKNTit469Vz8QwBCnlqDPZcKZC76nwCCEiImiideHCBdx6663Izs7GjBkzEB0djV27diE21v1BwIHuaJGz1EX3+NAOt4RcTC5jkB3vHBB/osQ7pTRIS1zB2aHpHVs+icNd/Kmyv3cU1TagrM4MhYzpVCkVpVzG17zb5+G1RQkh4iBo1+Hnn38u5O79Sm6pc6amp1qzOD0SwnDogg4nS+owuW+iRx+btFRjsOBshbNK+OD0jreSAMCAtAgAzkSrrTpopHO41qzeSWGdrlU2JCMSf56rwr78atw2vO3SNoQQ6RLVYHjScSdLnS1OXEkGT+Ee73hJ2yU3iOccaZzinxGtRWSwqlOP1SsxDEo5gyqDBRdqaBCrp3GJ1qBOJsRAU1KdU1Db6ccihIgPJVp+4mRji1aPBA+3aDW2kLnbdTh37lwwDIMQdQiwGMBiIEQd0uEZpXPnzsX06dM7dF+p4BKtvh6YNapRyvnWzYPUfehx3MSTgZ0Yn8Xhuh7PVRpQb7J2+vEIIeJCiVY7YrQxiNEKV1Xbnf03WOw4X+XscspO8HCLVmPiVlTbgLqLLgKXi3HixIk4m38WUU9HIerpKJzNP4vMzEyPxucprj7f3jwvuIKz/TpZ1Z/Djf2hlhLPstkd/BePjtTPulhUsArJEUEAgGPF7n2hEfpzivg/Osc6jxKtNgSrglHxaAUqHq1AsCpY9Ps/VVYPlgViQlSIDVV7NJZwrRJJ4RoAwMlm3YeuxKhWq9ElrQuqnqlC1TNV6JLWBXK5czzL2rVrMWjQIGg0GnTp0gVLliyBzWZr83EWL16MNWvWYO3atWAYBgzDYPv27QCAI0eO4JprrkFQUBCio6Pxj3/8A3p90+wtriVsyZIliI2NRVhYGO655x5YLBa3jsWd7TqKa9Hq7PJJHD7RKqRB1p50pkIPs82BELUC6VHay9/BBX2SnV9ojrpRIV7ozyni/+gc8wxKtPwANz7L092GHK4LittPZ/3222+4/fbb8dBDD+H48eN47733sHr1ajz//PNtbv/II49gxowZmDhxIkpKSlBSUoIrrrgCBoMBEyZMQGRkJPbu3YuvvvoKv/zyC+6///4W99+yZQtOnDiB7du347PPPsO3337rkzUz3VGlN6Oo1jmWirvodhbXJXWipB52B+uRxyRNLY+9k8Lcqnt1KVzL2BFaiocQv0OJlh/gxmd5utuQ0yOxYyUe1q1bh5CQEP7n5ptvBgAsWbIETzzxBObMmYMuXbrguuuuw7PPPov33nuvzccJCQlBUFAQ1Go1EhISkJCQAJVKhU8//RQmkwkfffQR+vTpg2uuuQZvvfUWPv74Y5SVlfH3V6lU+PDDD9G7d29MmTIFzzzzDN544w04HOIpwMddYLvEBiPUzYWk25MZEwyNUoYGa1PXMuk8rnvPUy2PzR+LEi1C/A8lWm1osDZgzOoxGLN6jGBL8Lizf65Lr4e3Eq0EbkB8U9ehKzGOHTsWu/buQu+ne6P3073xn1f/AwA4dOgQnnnmmRZJ2N13342SkhIYja4XRj1x4gT69++P4OCmJu1Ro0bB4XAgNzeXv61///7Qapu6eEaOHAm9Xs8vSu7q8+3N84JrJfHEmB+OXMbwr91xN8f+kPbxkxa8kGjlVRqgN7fdhX4xoT+niP+jc8wzRLUEj1g4WAd25O/gfxfz/lmWbVbawTtdh1xL2ZlyPV+TyZUYg4ODkdk1E3tMewAA8QnxAJxLLS1ZsgQ33HBDq/toNBpvHMIlufp8e/O88MbFGwB6JYUhp7AWx0vqMLV/kkcfOxDZHSyftHqqixcAYkLUSAzXoERnwrEinUvLJgn9OUX8H51jnkGJlsRV6M2oMVohY4CsuBCv7CMjOhhyGQO92YbSOhMSw4M69XiDBg1Cbm4usrKyXL6PSqWC3d5ygeSePXti9erVMBgMfKvWzp07IZPJkJ2dzW936NAhNDQ0ICjIGfeuXbsQEhKC1NTUTh2HJx31VqKVSC1anpRXqUeD1Q6tSo7MGM++3/okh6NEZ8IRFxMtQog0UNehxJ0td469SY3SemzpnYupFDKkRzu73s6Ud349toULF+Kjjz7CkiVLcOzYMZw4cQKff/45nnrqqXbvk5GRgcOHDyM3NxeVlZWwWq2YNWsWNBoN5syZg6NHj2Lbtm144IEHMHv2bMTHx/P3tVgsuOuuu3D8+HGsX78eixYtwv333w+ZTBynv85oRbHOBKCpbpmn9E5qTLRoCSWP4FoeeyWGtVhk3RO4JJuSYkL8iziuNKTDzjYuRNs11jutWZysxsf3RKI1YcIErFu3Dps2bcLQoUMxYsQIvP7660hPT2/3PnfffTeys7MxZMgQxMbGYufOndBqtfj5559RXV2NoUOH4qabbsK1116Lt956q8V9r732WnTr1g1XX301Zs6cib/85S9YvHhxp4/DU3LLnGPfksI1CA/yzEB4To+EMMgYoKLejPJ6k0cfOxBx4xS5BNaTuDGW3OQWQoh/oK5DiWtKtLxb4yQrLgSbjpe5nGitXr0aAGCwtD3bbcKECZgwYYLL+4+NjcWmTZta3d63b19s3br1svdfsmSJ6Eo6cHIbx9h5Y9ZokEqOzJhgnK0w4ERJPeJCfT8Gzp/k8jN8vZFoOR/zTIUeNrsDCjl9DybEH9A7WeK4RYi93qIV57kWLdISv3ySlyYz9EpydkkdK6bSAZ11qoxLtDz/fkuJDIJWJYfF5sD5Ktdn3xJCxI0SrXZolVpolZ6p+uzN/Z9tTHy6emkgPKdbXNPMQ46rMQr9XLpCyGPJLfVueY5eia3LcxD36YxWlDSOpese7/nXSiZj0K3xcXNd7D6UwnuLSBudY51HXYdtCFYFw/CkcAUeXd1/g8XOVxP3dotW1zhn12SVwYIagwWRwa7FKPRzyXVhXoqrMXrjWFiW5cdoeavgLNf6crqMEq3OOFXufP6SI4I8VlT2Yj3iQ3GosBa5ZfWYgsRLbiv0e4v4PzrHPINatCTsXKWzdSlSq0RUsMqr+9KqFPzCt2cqqPvQU4p1JtSbbFDIGHTxcLkADtcaea7CAJudauF0FNfK1D3ee19quidwLVo085AQf0GJloT5anwWpyuN0/I47oLaNTYEKoV33o7JEUEIUsphsTuQX01jfzqKG5/V3Ustj0BT97GrXYeEEPGjRKsNJpsJUz6dgimfToHJ5vsp8a7un0t4fJVodWuWaLkao9DPpSuEPBZvr1MJOMf+cJMZqPuw4056eSwd0DT2K7/aiAaL/ZLbSuG9RaSNzjHPoDFabbA77Fh/ej3/u1j3z5d2iPNuaQdOl8YSEucq9C7HKPRz6QohjyXXB4kWAHSLD8GRIh1Ol+kxsY9Xd+WXWJZtatHywkB4TmyoGtHBKlQZLDhdXo9+KRHtbiuF9xaRNjrHPINatCTsrI9btDKjnYkWTT33HK5V0psX7+aPf4q6fTukot6M2salrrz9fsumwqWE+BVKtCTK7mCRV+nbMVqZjS1ahdVGGlTtAQ4Hi3P8ODvvtkp2o67DTuFmhmZEB3ttqSsO91qdpUknhPgFSrQkqri2AWabAyq5DKlRvqlxEh+qgUYpg83B8mUlSMeV1JnQYLVDKWe8/hpyLVo087BjuNZjby3c3hw36YRbx5QQIm2UaEkUV2IhI0br8cVt2yOTMcjgug+r6SLQWdzFOz06GEovL7fSfOZhAc08dNu5xtbjLj5oPeZaqM9RixYhfoESLYnKb/zgz4zxzUB4DpdoFdA4rU7z1TqVQMuZh6fK6ALuLq6Lt4sPXisu0cqvNsJio9ZHQqSOEi2J4gakc4mPr2Q0JnZcokc6runi7evyHDROy12+TIrjw9QIUStgd7AooJZjQiSPyju0IVgVDHYRK+r951c5P4DTfZxoZcY4xxIV1cKl50jo59IVrsbo6WNpunj7JtHiWmPyKqk10h1Gi41f49Bb1fubYxgGXWODceiCDmfKDciKa3tGqhTeW0Ta6BzzDGrRkqh8vkXLt4t98mO0qEWr03zZSgIAmY1JArd0E3EN1/IYFaxCpJeXuuJwyTfNPCRE+ijRkiC7g0VhjTPRSvfxGC1uTNiFGho/0hn1JivK6swAfNd1yL12eZQku4VLdrr48L3WlUo8EOI3KNFqg8lmws1f3Yybv7pZsCV4LrX/4toGWO0sVAoZEsM0Po0tNlSNYJUcdtaCaZ/feNnnSOjn0hWuxth8u6tHX42HH374ko+bkZGBZcuWtfk3rpUkNlSN8CBlR0N3S0Zjt2+t0Yoag8Un+/QH53y8pqhzX86kjlvPtC1SeG8RaaNzzDMo0WqD3WHH18e/xtfHvxZsCZ5L7Z/rNkyNDILMR6UdOAzDID06GCwc2Hj2+8s+R5c7lrlz54JhGP4nOjoaEydOxOHDh9t8PLPZjAEDBoBhGOTk5LT4G8uy+O9//4vhw4cjJCQEERERGDJkCJYtWwajsf1xSa6+3s23++SLT/Dss8+2u+3l+LrbEAC0KgUSw52J+Tlq1XJZU2kHH7ZocSUeyvVg2bbHyAj9OUX8H51jnkGJlgSdbxwI7+sZhxxPl5SYOHEiSkpKUFJSgi1btkChUOD6669vc9vHHnsMSUlJbf5t9uzZePjhhzFt2jRs27YNOTk5ePrpp7F27Vps2rTJozFHRUUhNLTjy+b4eiA8h7oP3cfVO/NVFy8ApEU76+PVm22oqDf7bL+EEM+jREuChJpxyOG6oDxFrVYjISEBCQkJGDBgAJ544gkUFhaioqKixXYbNmzApk2b8Morr7R6jC+//BKffPIJPvvsMzz55JMYOnQoMjIyMG3aNGzduhVjx45tc9/bt29HiDoEOAPgXSAmPAbXXHMNysvLsWHDBvTs2RNhYWG47bbbWrSKTbxuYouuw/LyckydOhVBQUHIzMzEJ598cslj5qp++zrRapp5SGN/XOFosdSV795vaoUcqZFBAJqKExNCpInKO0gQP+PQwwmPq7zZkqbX6/G///0PWVlZiI6O5m8vKyvD3Xffje+//x5abevj/uSTT5CdnY1p06a1+hvDMAgPD7/0jrcDmAxs+ecWzJk1BzNmzIBarcann34KvV6Pv/71r3j3nXfbvfvcuXNRXFyMbdu2QalU4sEHH0R5eXm72/MtWj5Y0qU5buYhtWi5prRxmSSFzPvLJF0sIyYY56uMyK8y4oquPt01IcSDKNGSIC7REqpFy9Ndh+vWrUNIiDMBMBgMSExMxLp16yCTORtcWZbF3Llzcc8992DIkCE4f/58q8c4ffo0srOzOx7ENQDSgP4D+uOuu+7CggULcPbsWXTp0gUAcNNNN+HX7b8Co1rf9dSpU9iwYQP27NmDoUOHAgA++OAD9OzZs81d2R0s/xr6ciZb8/2du8Qga9KES4jTorVeXybpYs4vNBX8UAFCiDRR16HEOBws8qu5MVrCtGileXi/Y8eORU5ODnJycrBnzx5MmDABkyZNQn5+PgDgzTffRH19PRYsWNDuY7Q3YNhl8c1+jY+HVqvlkyzutou7MjknTpyAQqHA4MGD+dt69OiBiIiINrcv0TXAYndAKWeQFBHUubjdxCXJ56sMcDioEOHl8NX7fVCo9GLc+zufCswSImmUaElMeb0ZJqsDChmDZB9fpDmxIWpolJ47dYKDg5GVlYWsrCwMHToU77//PgwGA1auXAkA2Lp1K/7880+o1WooFApkZWUBAIYMGYI5c+YAALp3746TJ092PIhmh8MwDJTKliUXGIaBw+GZumFNs0Z9tyA4JyUyCAoZA5PVgdI6mq59OXkCzDjkpDdLigkh0kVdh23QKrXQL9Dzv4tp/9yHbnJkEBQ+7srgMAyDtIhImCq+xvtzBl/yOerIc8kwDGQyGRoaGgAAb7zxBp577jn+78XFxZgwYQK++OILDB8+HABw22234ZZbbsHatWtbjdNiWRZ1dXWXHKd1Yf4FREREXDJGGSPjj2XKtin87T169IDNZsP+/fv5rsPc3FzU1ta2+ThNXb++P7cUchnSorU4V2FAXqXB5y1qUpMv4AxffhWGKgNYlgXDtEzKhf6cIv6PzjHPoESrDQzDIFglzPiny+2/QODxWZz06GCcqTCgoo5pdQFozpXn0mw2o7S0FABQU1ODt956C3q9HlOnTgUApKWltdieG8/VtWtXpKSkAABmzJiB7777DrfeeiueeuopjB8/HrGxsThy5Ahef/11PPDAA5g+fXq7MQSrgl16zdvaJjs7GxMnTsQ///lPrFixAgqFAg8//DCCgtpOYoSeNdolJhjnKgw4V2nAqKwYQWKQCqGWugKcrY/yxtbHsjozEsJbFicW+nOK+D86xzyDug4lpqmGlrDfLrgZWAXVnR8/snHjRiQmJiIxMRHDhw/H3r178dVXX2HMmDEuPwbDMPj000/x2muv4fvvv8fo0aPRr18/LF68GNOmTcOECRM6HeelrFq1CklJSRg9ejRuuOEG/OMf/0BcXFyb2wrZogU0jdM6R2UDLqn5UleeHpfoCqVchpTGEg/UfUiIdFGLVhvMNjP+ue6fAID3rn8PaoVaNPsvrHF2p6VGCptoJUbIUal8HWtOBGH+dV+3+xxd7rlcvXo1Vq9e7da+MzIy2hz8LpPJcM899+Cee+5x+bHGjBkDk9XUIsa5c+di7ty5LbZbvHgxFjy1AHO/d97+8y8/tziWhIQErFu3rsV9Zs+e3eY+hS84SyUeXMEvdSWXITFcmC7W9Ohg5FcZkV9lwIgu0S3+JvTnFPF/dI55BrVotcHmsGHNoTVYc2gNbA6bqPZf1PgNm/umK5SkCBUMii3IrV93yedI6OfSFa7G6IljYVmWbwUUqkWLaw31RGukP+Oen5SoIJ9PWuBkNr5WeW3MPJTCe4tIG51jnkGJlsQU1TpbtJIFTrRSBG5Rk6oKvRlGix0yRrjnkOv2vVDdADuVeGiX0C2PQNM4vnzqOiREsijRkhCLzYHyxnXPhCrtwGneoqYzWgWMRFq48VlJEUFQKYR5+yVFBEEpZ2CxU4mHS+EmnqT5uCJ8c9zqD+erqPWREKmiREtCSnQNYFlAo5QhKlglaCxaVdPwvgu1dBFw1flKbsahcBdvuYzhW9OopaR9Yph4ktGsRavTRXkJIYKgREtCLjQOhE+OCLpkSQVfK2qMi1xe0/gsYadMc92HhTROq11CL3UFOLuXZQxgtNhR0diaTQiRFtEkWi+++CIYhsHDDz8sdCiixSU0ySIbH8VNgSeXd17AukzNpUdxLVr02rVFDJMWAEClkPHjMWmWKCHSJIpEa+/evXjvvffQr18/oUMRtQu1TS1aYkKJluu4rrq0KKELzjYmWtSi1SYxTFrgNHUf0mtFiBQJXkdLr9dj1qxZWLlyZYtlVoSkVWpR/kg5/7tY9s+1aAld2gFwxrVy3EEs+fE4SmraHzsi9HPpCldj9MSx8JXGY4R9LrgB3gV08W6TGCYtcNKjtfjtdOuipVJ4bxFpo3PMMwRPtObNm4cpU6Zg3Lhxl020zGYzzOamcQp1dXVeiYlhGMQGx3rlsTuz/6JacdTQApwx9klMhRxFKKptf+aa0M+lK1yNsbPHUmu0QNfgnKEp5Ew2oKnSOdXSalvT0jvCLz/CnSuFF42FlMJ7i0gbnWOeIWii9fnnn+PAgQPYu3evS9svXboUS5Ys8XJU4tV8MLwY8PWYaoywO1jBijpKBXfxjgtVt5i1KQTu4q1rsEJntCJcqxQ0HrHhu3gFHksHNK0CQRMXCJEmwdrECwsL8dBDD+GTTz6BRqO5/B0ALFiwADqdjv8pLCz0SmxmmxnzfpqHeT/Ng9nm+5k+be3f7mBRqnO2HAldrBRwxvj8zn+hVrUCFrul3XpMQj+XrnA1xs4eixgKYHK0KgViQ53LaeRX0yDriwm5mPTFmn+haU4K7y0ibXSOeYZgidb+/ftRXl6OQYMGQaFQQKFQYMeOHXjjjTegUChgt9tb3UetViMsLKzFjzfYHDa8s+8dvLPvHcGW4Ll4/2V1JtgcLBQyBnGhriWm3mRz2LBi3wro5D+Bhb3dsT5CP5eucDXGzh6L0ItJX4xmHraPmyQg9KQFoCnRqtRbYLQ0nXdSeG8RaaNzzDMES7SuvfZaHDlyBDk5OfzPkCFDMGvWLOTk5EAulwsVmihxS+8kRmhE2UVHMw8vT2yJFj8gnrqkWrnQ+JykRgnfehwepESYxtnVXFhNNesIkRrBBoqEhoaiT58+LW4LDg5GdHR0q9tJsxmHEeK4SF+Mxo9cHpeMpgo8EJ7DD4inFq0WDGYbqgwWAOJ5rVKjtDhWXIfCaiOyE0KFDocQ4gZR1NEilyeWxaTbQ60il9dUnkMcF++mWlo0Rqs5btKJsyVJHJMEmmYe0vuMEKkRvLxDc9u3bxc6BNHiBsKKZcbhxSjRujSr3YESnfMCLobuKKBp/BG1aLXEvdfEUEaFk0rdvIRIFrVoSQRf2kFEH/7N0diRSyupNcHBAmqFDLEhaqHDAdDUSlJSZ4LF5hA4GvHgusFTRdLyCACpje97ep8RIj2UaEkE13WYItIWrUq9ucWMKNIS1+WTHBmEO+64A9OnTxc2IAAxISqoFTKwLPjWNtJUGFQsLY9A+yUeCCHiJ6quQ7EIUgYh76E8/neh98+yLIpFNkareYx/WX4SdQ12FFY3tBqoK/Rz6YrLxTh37lysWbOmxW0hi0Nw+vRpZGVlubQP7gLpqVaS7du3Y+zYsaipqUFERAR/+5gxYzBgwAAsW7bsso/BMAxSIoNwtsKACzUNSBdBfS8x4Fu0RDIQHmiKpbDaCJZlwTCMJN5bRNroHPMMSrTaIGNkyIjIEM3+K/VmmKwOMAyQGC6Ok715jOlRF3CkSNfmjCihn0tXuBLjxIkTsWrVqha3xca6vjTFhWbrVBa5HaH3pEZpcbbCQLNGm7kgojVFOdzYTIPFjmqDBdEhakm8t4i00TnmGdR1KAHcB398qEbwBW7bEgj1mNRqNRISElr8cLXe1q5di0GDBkGj0aBLly5YsmQJbLaW3ahttZIsWbIEsbGxCAsLwz333AOLxcL/zWw248EHH0RcXBw0Gg2uvPJKfqmq8+fPY+zYsQCAyMhIMAyDuXPnYu7cudixYweWL18OhmHAMAzOnz8PANixYweGDRsGtVqNxMREPPHEE7DZbHwy8e+/34QHHngADz/8MCIjIxEfH4+VK1fCYDDgjjvuQGhoKLKysrBhwwbvPMEiUujh1kdP0CjlSAhzFiq+eM1DQoi4ie+qLQIWuwWPbnoUj256FBa75fJ38PL+i0Q4EL55jAkRzoSjrURL6OfSFa7G2NZ2v/32G26//XY89NBDOH78ON577z2sXr0azz//fIv7XtxKsmXLFpw4cQLbt2/HZ599hm+//bbFOp6PPfYYvvnmG6xZswYHDhxAVlYWJkyYgOrqaqSmpuKbb74BAOTm5qKkpATLly/H8uXLMXLkSNx9990oKSlBSUkJUlNTUVRUhMmTJ2Po0KE4dOgQVqxYgQ8++ADPPfccX2rCbHNgzZo1iImJwZ49e/DAAw/g3nvvxc0334wrrrgCBw4cwPjx4zF79mwYjf6bUOuMVtSbnEmyWMpwcLgxY1zSLoX3FpE2Osc8hJUwnU7HAmB1Op1HH1dv1rNYDBaLwerNeo8+dkf2/96OM2z64+vYBz494PNY2tM8xvd/P86mP76OvXPVnktuJ8Rz6YrLxThnzhxWLpezwcHBLJRgoQQ7/YbpLMuy7LXXXsu+8MILLbb/+OOP2cTExBa3DXt+M5v++Do2p6CGnTNnDhsVFcUaDAb+7ytWrGBDQkJYu93O6vV6VqlUsp988gn/d4vFwiYlJbEvvfQSy7Isu23bNhYAW1NT02I/o0ePZh966KEWtz355JNsdnY263A4+NvefvttNiQkhF17sJBNf3wdG9NtIHvllVfyf7fZbGxwcDA7e/Zs/raSkhIWAPvnn39e6umUtCMXatn0x9exg5/dLHQorfzf5wfZ9MfXsW9tPc2yrDTeW0TavHmOeev6LUY0RksCxNii1Rz/TduPZ0SNHTsWry5/Ff3f7Q8AeOVfrwAADh06hJ07d7ZowbLb7TCZTDAajdBqtTDb7Circy7IyrVo9e/fH1ptU4vJyJEjodfrUVhYCJ1OB6vVilGjRvF/VyqVGDZsGE6cOOF27CdOnMDIkSPBME1LN40aNQp6vR5KUw0AwGyzo1+/fvzf5XI5oqOj0bdvX/62+Ph4AEB5ebnbMUiFGGtocVJo5iEhkkSJlgTwVeFFWtqBG8tS0GxGlL8JDg5G16yuQLTz/wmJCQAAvV6PJUuW4IYbbmh1H43GOaamuNYEAAhSyhEVrPJNwC5KCnfGaLE5IJO3/DhgGAZKpbLF/wHA4fDfmltcnSoxzTjk8NXhqZYWIZLi9hitRYsWIT8/3xuxkHaIvVhpYngQZAxgsjpQoTcLHY5PDRo0CLm5ucjKymr1I5M5316FzRYo5pKVQ4cOoaGh6YK5a9cuhISEIDU1FV27doVKpcLOnTv5v1utVuzduxe9evUCAKhUzoTNbre3iEelUrW6rWfPnvjzzz/Bsix/286dO53rjXbvgiClc4yd3kx10JoGwovvvcYXLaUWLUIkxe1Ea+3atejatSuuvfZafPrppzCbA+vCKgSu61CMH/4AoJTL+LITgVYmYOHChfjoo4+wZMkSHDt2DCdOnMDnn3+Op556it/mQhtrHFosFtx11104fvw41q9fj0WLFuH++++HTCZDcHAw7r33Xjz66KPYuHEjjh8/jrvvvhtGoxF33XUXACA9PR0Mw2DdunWoqKiAXq8HAGRkZGD37t04f/48Kisr4XA4cN9996GwsBAPPPAATp48ibVr12LRokWYP38+5HI5301GiVbbr5VYcK1sRTUNsDvYy2xNCBELtxOtnJwc7N27F71798ZDDz2EhIQE3HvvvfzUc+JZugYr6hsvgEki7ToEArdbY8KECVi3bh02bdqEoUOHYsSIEXj99deRnp7Ob9NWK8m1116Lbt264eqrr8bMmTPxl7/8BYsXL+b//uKLL+LGG2/E7NmzMWjQIJw5cwY///wzIiMjAQDJyclYsmQJnnjiCcTHx+P+++8HADzyyCOQy+Xo1asXYmNjUVBQgOTkZKxfvx579uxB//79cc899+Cuu+7ik0E+0TJRotW89VFs4sM0UMllsDlYquRPiIR0aIzWwIEDMXDgQLz66qv48ccfsWrVKowaNQo9evTAXXfdhblz5yI8PNzTsQYkriJ8VLAKWpV4h9SlRWnx57kqv6yltXr1agCAwWJo8+8TJkzAhAkT2r3/xa0k3OMBaFHSoTmNRoM33ngDb7zxRruP+/TTT+Ppp59ucVv37t3x559/ttp29OjR2LNnT5uPkxKpRcJtL2LsmK4tbudqcDXXvPvR37Asy79WYqqhxZHLGCRFaHC+yogLNQ2IDNYIHRIhxAWdunKzLAur1QqLxQKWZREZGYm33noLTz/9NFauXImZM2d6Kk6fClIG4ei9R/nfhdz/hQrnbWIbCH/xc8S1AFycaAn9XLrC1Rg7eiz88jsibCUBmuK6EOCFMCv1FjRY7WAY8bYeJ0cG4XyVEUU1DRiWGSn69xaRNil8fktBhxKt/fv3Y9WqVfjss8+gVqtx++234+233+bXfXvzzTfx4IMPSjbRkjEy9I7rLYr97z3tXGdKbInWxc9RajvV4YV+Ll3haowdPRauO1WM436AprgCvWwAd/wJYeJcgQFo+hwoqm2QxHuLSBudY57h9qdJ3759MWLECOTl5eGDDz5AYWEhXnzxxRaL6956662oqKjwaKCBqkhki0m3hxujdcEPuw47w2S1o1LfsoaW2HBxBXqLVqGIuw05yRFNA+IJIdLgdovWjBkzcOeddyI5ObndbWJiYiRda8dit+CF314AADx51ZNQyX1b+6j5/ourJwIQX4vWxc8R16JVUmeC2WaHWiFvcztfP5eucDXGjhwL10oSqlYgPEh5ma2FwbVoldebYbLaoWks9xBoxFyslMN94SqqbZDEe4tIG51jnuF2ixY3FutiDQ0NeOaZZzwSlNCsdiuW7FiCJTuWwGq3Crr/C7X1AMT34X/xcxQdrIJWJQfLtvy2LfRz6QpXY+zIsRQ2q4Em1kKukVoltCpncsW1oAaioovWoxSj5l2HUnhvEWmjc8wz3E60lixZwtfsac5oNLY7g4p0XLHIi5VyGIZpKvFA3Ro8fhabCCuNcxiG4bvLArn7kJvhK9aB8EBTElhU2wAH1dIiRBI61KLV1jfzQ4cOISoqyiNBkSbVRue3iJQI8V6oOe0NiA9k3Jg1MbeSAM3HaQXua8ctlSTmRCshXAMZ41wyqcpoETocQogLXB6jFRkZCYZhwDAMunfv3iLZstvt0Ov1uOeee7wSZKALUSsQFiTeGlocrlUk0KrDX4qY6zI1RwPipdGipZTLEB+mQYnOhJIA7uYlREpcvnovW7YMLMvizjvvxJIlS1oUJFWpVMjIyMDIkSO9EmSgS44Q7/ie5tK4WlpVlGhxuBYisXf9pgR4klxnar4Cg7gLgSZFBKFEZ+Jb4Agh4uZyojVnzhwAQGZmJq644gooleKcQeWPxH6R5qRFc2O0AvNi3RZucLnYuw65c6w4QFtJpLICA+D84rU/vwbFOnqfESIFLn2i1NXVISwsDIBz+Z2GhgY0NLT9gcxtRzxHbKUd2sN1jxVUGdsdyxdInDW0nONoxP4act1lgdpKws04FHtrFtAsKQ7gbl5CpMSlRCsyMhIlJSWIi4tDREREmxdQ7sJqt9s9HqSvaRQa7Pn7Hv53ofb/6qZc/JmrFGVrSFvPEdf9VG+2QddgRYRWJfhz6QpXY3T3WEp0zqRFq5KLtoYWh0sEy+pNsNgcoq2M7i38+Kxw8b3XLsa/VnUO0b+3iLRJ4fNbClxKtLZu3crPKNy2bZtXAxIDuUyOoclDBd+/zWQFgxpRdh229RwFqeSIC1WjvN6MgmojIrQqwZ9LV7gao7vH0nxwtdhb96KDVVApZLDYHCirM4m6HIU3FElgxiGnqZvXgqHJVwscDfFnUvj8lgKXEq3Ro0e3+TvxLn75HQl8+HPSorQorzejsLoB/VIihA5HUEUSmMXGkckYJIVrnAsW1zYEXKJVLKH3WkqzoqWEEPFzu39g48aN+P333/n/v/322xgwYABuu+021NTUeDQ4oVjsFry882W8vPNlWOy+r1VjsVuw9LeXkGv4BCysomzRau85uriWltDPpStcjdHdY2m6eEujyZ1f3iUAx/5IobQDh3ud6kwNeHbHi6J+bxFpk8LntxS4nWg9+uijqKurAwAcOXIE8+fPx+TJk5GXl4f58+d7PEAhWO1WPPbLY3jsl8cEW4Lnya2Po0a5CkoFi5hgtc9juJz2nqOLEy2hn0tXuBqju8cipXE/QFOcgTjzsCnREn9SrFUpEKlVgoUdC7cvEPV7i0ibFD6/pcDtRCsvLw+9evUCAHzzzTeYOnUqXnjhBbz99tvYsGGDxwMMdEnhGshk4h7f0xy/DE+A1mNqzteVxrdv3w6GYVBbW9uh+/MzD3WBlWjZ7A6U1jlfKyl0HQLSKflCCOlAoqVSqWA0Oi+iv/zyC8aPHw8AiIqK4lu6iOdI5YOfk9p4AQjEWlpz587lV09gGAZfPDQeZV8uhLH0XJvbm81mDBgwAAzDICcnp8XfWJbFf//7XwwfPhwhISGIiIjAkCFDsGzZMv7952ncxfvNf0zEsmXLWvxt9erViIiI8Mp+hVZaZ4KDBVRyGWJCxNd63BapfS4QEsjcTrSuvPJKzJ8/H88++yz27NmDKVOmAABOnTqFlJQUjwcY6BIl0JXRHFe0tKimATa7Q+BofG/ixIkoKSlBcXExkm59HoxMjif+OavNbR977DEkJSW1+bfZs2fj4YcfxrRp07Bt2zbk5OTg6aefxtq1a7Fp0yavxM5dvO2OwHrduJbHxAjptB4nS2DtU0KIk9uJ1ltvvQWFQoGvv/4aK1asQHJyMgBgw4YNmDhxoscDDHRSGd/DiQ/VQCWXweZg+TpSgUStViMhIQHK0CgwMZkIH3ETiosuoKKiosV2GzZswKZNm/DKK6+0eowvv/wSn3zyCT777DM8+eSTGDp0KDIyMjBt2jRs3boVY8eOvWQMO3fuRL9+/aDRaDBixAgcPXq0xd+/+eYb9O7dG2q1GhkZGXj11VcBOLsOSz99AqaaMvzf//0f3zK3fft23HHHHdDpdPxtixcvBgDU1NTg9ttvR2RkJLRaLSZNmoTTp0/z++JawtatW4fs7GxotVrcdNNNMBqNWLNmDTIyMhAZGYkHH3xQsBp8UhtLB0hjLBkhxMnttSbS0tKwbt26Vre//vrrHgmItCSFWVDNyWQMUqKCcK7CgMIaI6JCpBW/pxTXNsBhaYD91K/IyspCdHQ0/7eysjLcfffd+P7776HVtm6Z+OSTT5CdnY1p06a1+hvDMC3WGW3Lo48+iuXLlyMhIQFPPvkkpk6dilOnTkGpVGL//v2YMWMGFi9ejJkzZ+KPP/7Afffdh+joaNwyazZi//pvlKx6AI89NA8PznMuEh8VFYVly5Zh4cKFyM3NBQCEhIQAcHaXnj59Gj/88APCwsLw+OOPY/LkyTh+/Di/TJfRaMQbb7yBzz//HPX19bjhhhvw17/+FREREVi/fj3OnTuHG2+8EaNGjcLMmTM79oR3gpTKcHDEWMSYENK2Di3q5XA4cObMGZSXl8NxUTfD1VdTAT1PSgqX3jfX1EitM9GqNqJ/amBdENatW4eQkBDYHSxMDUZowqOxcesmyGTOxmOWZTF37lzcc889GDJkCM6fP9/qMU6fPo3s7OwOx7Bo0SJcd911AIA1a9YgJSUF3333HWbMmIHXXnsN1157LZ5++mkAQPfu3XH8+HG8/PLLmDt3LuJjY1DCyGBXOFvmOOHh4WAYpsVtXIK1c+dOXHHFFQCcSWJqaiq+//573HzzzQAAq9WKFStWoGvXrgCAm266CR9//DHKysoQEhKCXr16YezYsdi2bZsgiZbUynAA1HVIiJS4nWjt2rULt912G/Lz88GybIu/+dMSPNvmbON/9zWVTI0k61LYHSwyYyJ9vn9XXOo5SmtW4kGjSBb0uXSFq6+3K9uNHTsWK1aswJf7CvHmhhxEnN+GSZMmYc+ePUhPT8ebb76J+vp6LFiwoN39XPy+ctfIkSP536OiopCdnY0TJ04AAE6cONGqpWzUqFFYtmwZ7HY7kiM0yAGga7j8VO4TJ05AoVBg+PDh/G3R0dEt9gcAWq2WT7IAID4+HhkZGXyrGHdbeXm5u4fqEVKqocVJjgwCAyXizS/gozuHifa9RaRN6Guhv3A70eK+if/0009ITEwU/dIiHSGXyTEmY4xg+68y2KC09YVGxiA5IliwOC7lUs9RU6LVIPhz6QpXY3Rlu+DgYGRlZcF+0gJ1YnfMuuk6vHjrCKxcuRLPPfcctm7dij///BNqdcvZbUOGDMGsWbOwZs0adO/eHSdPnuzEEXUcl2y4kmi5iutC5DAM0+ZtF7eO+4qvy3B4QqRWCa1SBcbaD90iRkAukwsdEvFDUvj8lgK3B8OfPn0aL7zwAnr27ImIiAiEh4e3+CGdV1TrnL6fEKaBQi69xX1ToxpLPARwLa3mrSQymQwNDc7/v/HGGzh06BBycnKQk5OD9evXAwC++OILPP/88wCA2267DadOncLatWtbPS7LstDpdJfc965du/jfa2pqcOrUKfTs2RMA0LNnT+zcubPF9jt37kT37t0hl8uRHBEERq5Ard7cYhuVStWqtbpnz56w2WzYvXs3f1tVVRVyc3P5WntSIMUWLYZhArqSPyFS4vZVfPjw4Thz5ow3YhENq92Kt/e8jbf3vC1INdzzVXWol69Dg2q9aKvxXuo5Sm1WtFTo59IVrsboynZmsxmlpaU4V3AB1spCfP/Oc9Dr9Zg6dSoA52SSPn368D/du3cHAHTt2pUvjzJjxgzMnDkTt956K1544QXs27cP+fn5WLduHcaNG3fZhd2feeYZbNmyBUePHsXcuXMRExOD6dOnAwD+9a9/YcuWLXj22Wdx6tQprFmzBm+99RYeeeQRAM5kQxEej5M5u1FUVITKykoAQEZGBvR6PbZs2YLKykoYjUZ069YN06ZNw913343ff/8dhw4dwt/+9jckJye3OZBfjHQNVtSbbQCkV5sqMVyJevk6fJizQrTvLSJtUvj8lgTWTd9++y3bq1cvdtWqVey+ffvYQ4cOtfjxJZ1OxwJgdTqdRx9Xb9azWAwWi8HqzXqPPrYrXt18SND9u+JSz5GuwcKmP76OTX98HVtaVyvpY3Fnuzlz5rAA+B9GFcT26T+I/frrr9t9zLy8PBYAe/DgwRa32+12dsWKFezQoUNZrVbLhoWFsYMHD2aXL1/OGo3GNh9r27ZtLAD2xx9/ZHv37s2qVCp22LBhrd6XX3/9NdurVy9WqVSyaWlp7Msvv8z/bcOREjbhb6+wYcldWbVazTb/iLjnnnvY6OhoFgC7aNEilmVZtrq6mp09ezYbHh7OBgUFsRMmTGBPnTrF32fVqlVseHh4i/0vWrSI7d+/f6vnbtq0ae0+T95yvFjHpj++jh34zCaf77uz/vX1LtG/t4i0efNa6K3rtxgxLOveyFtu9lRzDMOAZVmfD4avq6tDeHg4dDodwsLCPPa4BosBIUudA3X1C/QIVvl2nNQj3+zGq0dHCLZ/V1zuORr4zCbUGK345r5BGLIqqd3txMDV19vV7UxWO3o8vREAcPDp6xAZrPJC1N5xtEiH69/8HbGhauz99zihw/G6LSfKcNeafeiTHIZ1D1wldDhuee2Xw/jXzv4AxPveItLmzWuht67fYuT2YPi8vDxvxEGaKa6RfqHP1Cgtaoy6gBw/UtpYqDVIKUeEVnmZrcWFG6dUUW+GyWqHRunfg6ylWKyUI7WuTkIClduJVnp6ujfiIM0U10p/EHlqlBaHL+gCcs3DpgKYGsnNyo3UKqFRymCyOlCqMyEjxr9bSYokOOOQI6W6X4QEsg5Nafv4448xatQoJCUlIT8/HwCwbNmyNmdJEfewLMt/+EsZV+LhQgDOPOQSreRI6RWVZBiGbynhWnv8WVOxUuklWknNzq9AXFeUEKlwO9FasWIF5s+fj8mTJ6O2tpYfkxUREYFly5Z5Or6AU6E3w2yT/odmauNFoDAAuw6lWGm8Oa5150IAJVpSbNGKDW6qxVZWL/0vZ4T4K7cTrTfffBMrV67Ev//9b8jlTeM3hgwZgiNHjng0uEBUWO0fFzeuRasoAC7WF5PyuB8AAdWi1bybV2pksqZu6UAcC0mIVHRoMPzAgQNb3a5Wq2EwGNx6rBUrVmDFihX8em+9e/fGwoULMWnSJHfD8ii1Qo11t67jf/elCzVGMFDiyoiX8cSknj7fv6su9xzxiVaNDT/M/hEyhpHssbi7nRQrjTeXFCCJltXuQFmd87VKluAizWqFGmOiX8Wx4jqU10m/FZyIj5DXQn/idqKVmZmJnJycVoPiN27cyFefdlVKSgpefPFFdOvWDSzLYs2aNZg2bRoOHjyI3r17uxuaxyhkCkzpPkWQfRdWG8FAjmGJ12FK9/6CxOCKyz1HiREayGUMLDZgWOK1iA8Tb4uBq6+3q9tJuTsKaN6i5d/dUWV1JjhYQCWXISZYehcRhUyBEUnjkHehECU6i9DhED8k5LXQn7idaM2fPx/z5s2DyWQCy7LYs2cPPvvsMyxduhTvv/++W4/FVcvmPP/881ixYgV27drVZqJlNpthNjctDVJXV+du+KJ3obELgFvGRqqUchkSwzW4UNOAwmqjqBMtT3JOZpDuAGugKUH0925fLpFMjNC06IaTkpTGsZAXqOuQENFyO9H6+9//jqCgIDz11FMwGo247bbbkJSUhOXLl+OWW27pcCB2ux1fffUVDAYDRo4c2eY2S5cuxZIlSzq8D1dZ7VZ8cuQTAMCsvrOglPuuFlJhjREsbDitX4fVOVE+37+rXHmO0qK0KKypx+pDq3G0VtrH4up21QYLzDYHGAaID5deKwnQlCAW1TbwhYj9kdTH0lntVuTW/wi9vAAF1TcIHQ7xQ0JeC/2J24kWAMyaNQuzZs2C0WiEXq9HXFxchwM4cuQIRo4cCZPJhJCQEHz33XftLki7YMECzJ8/n/9/XV0dUlNTO7zv9ljsFtyx9g4AwM29bvZtolXdABY2vHPoX8Ah3+/fVa48R2lRWvx+1oa3c/4F5Ej7WFzdjmsliQ1RQ62QZrHPhHANGAaw2ByoMlgQEyLNhPFyiiTexWuxW/DmwfmACiis8f8q/sT3hLwW+hO3Zx1ec801qK2tBQBotVo+yaqrq8M111zjdgDZ2dnIycnB7t27ce+992LOnDk4fvx4m9uq1WqEhYW1+PEndgfrVwOQucWlA4nUL94AoFLIEBfqTK78eTab1MtwNFdaZ6ZaWoSIlNuJ1vbt22GxtB54aTKZ8Ntvv7kdgEqlQlZWFgYPHoylS5eif//+WL58uduP4w9K60ywOVgo5f7RVRPIiZZUx2dxAmHmoT8kxRy7g0VpnX9PXiBEqlzuOjx8+DD/+/Hjx1FaWsr/3263Y+PGjUhOTu50QA6Ho8WA90BS2FhFPSlcg3N+cH1LC8BEq1jCdZmaS44IwsGCWr8eEC/12aEXK6xu4AfHE0LEw+VEa8CAAWAYBgzDtNlFGBQUhDfffNOtnS9YsACTJk1CWloa6uvr8emnn2L79u34+eef3Xocf8ElWskRWsAPrm+BnWhJ++Kd7OczD1mW5btFpVhDqy0XaowAooUOgxByEZcTrby8PLAsiy5dumDPnj2IjY3l/6ZSqRAXF9eiUrwrysvLcfvtt6OkpATh4eHo168ffv75Z1x33XVuPY6/4KZoJ0dpgBKBg/GASK0SwSppDgjvKCmvndccX+LBT8do1ZlsMFicy4dJddbhxajEAyHi5HKixRUodTg8N+Dygw8+8Nhj+YPCmmYtWn6AYRgkRwbhpP+VO2tXkcSrwnO4RLFE55/jfriEOCpYhSA/+TJAiRYh4tSh8g6nT5/Gtm3bUF5e3irxWrhwoUcCE5JaocaXN33J/+4rFxrXOcyMjhBk/+5w9TnKiApHTMUTmDk0RfLHcrntTFY7KvXO8YX+0qLlr4Ph/WEsHXc+7j1fjS9+UzZ2HXre4sWL8f333yMnJ8crj0/ES6hrob9xO9FauXIl7r33XsTExCAhIaFFMUOGYfwi0VLIFLi5980+3y/3QZkeHYpBab7fvztcfY7So8MQ7LgSCcpMKGQdyuu9ztVjudx2pY2tP0FKOSK00q43wyWKVQYLTFY7NEr/aPXhSL1YKdB0PnYJqcGXv/3RqkVr7ty5WLNmDQBAqVQiLS0Nt99+O5588kkoFAqsXr0aDz/8MF+ux5vOnz+PzMxMHDx4EAMGDGgRY21tLb7//nuvx0DcJ9S10N+4feV77rnn8Pzzz+Pxxx/3RjwBy2JzoKRxenaqH80c4gbEF1R759u2mDRvJZF6NfWwIAWCVXIYLHYU1zagS2yI0CF51AU/mbQAAKmRXDdvA6x2B5Typqo9EydOxKpVq2A2m7F+/XrMmzcPSqUSCxYsECpcQgKO23W0ampqcPPN/p3h2hw2fHXsK3x17CvYHDaf7LOwxgiWBYJVckRoZT7fv7tcfY6SI1QwyH7H3rL1kj+Wy23nT3WZGIZp1n3of+O0uGOSchcvdz5uK/gBaiULB9u6q1etViMhIQHp6em49957MW7cOPzwww/Yvn077rjjDuh0On42+eLFiy+5v/feew+pqanQarWYMWMGdDod/zeHw4FnnnkGKSkpUKvVGDBgADZu3Mj/PTMzEwAwcOBAMAyDMWPGYPHixVizZg3Wrl3Lx7B9+3YAzhVDrrnmGgQFBSE6Ohr/+Mc/oNfr+cebO3cupk+fjhdeeAHx8fGIiIjAM888A5vNhkcffRRRUVFISUnBqlWrOvksBzYhroX+yO0WrZtvvhmbNm3CPffc4414RMFsM2PG1zMAAPoFeihU3u/yOl9pAACkRwfDYrf4fP/ucvU5iguXo1L9IiqNgMk6HyFq8bWMuHosl9vOHy7ezSVFBOF0ud4vx2n5QxmO5ufjNZEbcLbcjvwqI9Kjg9u9T1BQEKqqqnDFFVdg2bJlWLhwIXJzcwEAISHtvzfPnDmDL7/8Ej/++CPq6upw11134b777sMnnzjXwVu+fDleffVVvPfeexg4cCA+/PBD/OUvf8GxY8fQrVs37NmzB8OGDcMvv/yC3r17Q6VSQaVS4cSJE6irq+MToqioKBgMBkyYMAEjR47E3r17UV5ejr///e+4//77sXr1aj6mrVu3IiUlBb/++it27tyJu+66C3/88Qeuvvpq7N69G1988QX++c9/4rrrrkNKSkpnn+6AJMS10B+5/axlZWXh6aefxq5du9C3b18olS3Hojz44IMeCy6QnK9ydq1lxrT/ISlFzZOOGqMVfrpsHgCgqLax4KyEL97NJflxLS2+DIef1NBKjQrG2fI65FcZAMS2+jvLstiyZQt+/vlnPPDAA1CpVAgPDwfDMEhISLjs45tMJnz00Ud8Ueo333wTU6ZMwauvvoqEhAS88sorePzxx3HLLbcAAP7zn/9g27ZtWLZsGd5++22+HFB0dHSL/QUFBcFsNre4bc2aNfz+goOdn4dvvfUWpk6div/85z+Ij48H4EzK3njjDchkMmRnZ+Oll16C0WjEk08+CcBZp/HFF1/E77//zsdFiBDcTrT++9//IiQkBDt27MCOHTta/I1hGEq0OqipRct/xmcBaDGIuqjGiNTISAGj8a5iPyntwOHWAPS3RMtqd6CsjnutpDvrsLn0qCAAdfwXNs66desQEhICq9UKh8OB22677bJdhG1JS0trsfLHyJEj4XA4kJubC61Wi+LiYowaNarFfUaNGoVDhw65va8TJ06gf//+fJLFPRa3Py7R6t27N2SyptEv8fHx6NOnD/9/uVyO6OholJeXux0DIZ7kdqKVl5fnjTgC3vkqZ6KV4WctWs0V1jRghNBBeJE/lAxozl9LPJTVmeBgAZVchphg/2hiTY1yfm7kN36OcMaOHYsVK1ZApVIhKSkJCoX/dP1c3JvCMEybt3my9iMhHeH2YHjiHXyidYnxFVJX6KU6P2LAsqzfLCjN8ddEi2t5TIzQQCaT9uxQTlq087XKv6hFKzg4GFlZWUhLS2uVZKlUKtjtdpcev6CgAMXFxfz/d+3axXfZhYWFISkpCTt37mxxn507d6JXr178vgC02l9bMfTs2ROHDh2CwdCUNO7cuZPfHyFS49LXm/nz5+PZZ59FcHAw5s+ff8ltX3vtNY8EFkgsNge/1ElGjBaAax9+UuOtgopiUG2wwGxzgGGAhHD/aNHiEsZinQkOB+s3SYk/1NC6WFpkY4tWtdHl1yojIwN6vR5btmxB//79odVqodW2PXRBo9Fgzpw5eOWVV1BXV4cHH3wQM2bM4MdWPfroo1i0aBG6du2KAQMGYNWqVcjJyeEHy8fFxSEoKAgbN25ESkoKNBoNwsPDkZGRgZ9//hm5ubmIjo5GeHg4Zs2ahUWLFmHOnDlYvHgxKioq8MADD2D27Nl8tyEhUuJSonXw4EFYrVb+9/ZIvXaQUAqqjXA0lnaIDVHDaPXPhMRf180DmlpJYkPUUCv8o7hnfJgGDOP8IlBlsCA21D+62fypDAcnMVwDhYyBxeZAaZ3JpWO74oorcM8992DmzJmoqqrCokWL2h2/lZWVhRtuuAGTJ09GdXU1rr/+erzzzjv83x988EHodDr861//Qnl5OXr16oUffvgB3bp1AwAoFAq88cYbeOaZZ7Bw4UJcddVV2L59O+6++25s374dQ4YMgV6vx7Zt2zBmzBj8/PPPeOihhzB06FBotVrceOON9CWeSBbDsiwrdBAdVVdXh/DwcOh0OoSFhXnsca12Kz454vwmNqvvLCjl3q3yveVEGe5asw+9EsOw/qGrfL7/jnA1Rqvdiue2vYe3t51Fdtgk7Hx8vC/DdIk7x9LedhuPluKe/+3HgNQIfD9vVJv3l6IRL2xBaZ0Ja+eNQv/UCKHD8YgnvzuCT3cX4MFrsjB/vHS7oi4+H8e/vhN5lQZ8dvcIjOwaLXB0xB9481rkreu3GPnPyEgPUsqVmDtgrs/2l9c445Ar7eDr/XeEqzEq5UrcO/TvWPPLFpTqbK0qV4uBO8fS3nbFfjY+i5MUoUFpnQnFtQ1+k2j5Qw0toPX5mBalRV6lAflVBkq0iEdI4VokBeK64gUobgCrv5V24MSFqqFWyGB3sCjxwyrjgP/NOOT4Yy0tf6uhxclo/Py4uMQDIURY1KLVBpvDhp/P/AwAmJA1weuLIV9c2sHX++8IV2PktgsKOwJTdS/kVxuQJrKE0t1jaWu7Yp3z4p3oRwOsgWYD4v0kQWZZlh8rKPUWrYvPR64ifEG14VJ3I8RlUrgWSQE9a20w28y4/rPrAfhm2YGLuw59vf+OcDXG5tul4mvkVxlxVTefhemSjhzLxdsVccvv+Fkrib+VeKgz2WCwOGf1Sn3W4cXnI9cifr6SWrSIZ0jhWiQF1HUoMLPNzl/E/LXrsLmCav+8CPjvGC2uxIN/JFrc6xQVrEKQyj9mh3K4Fq38KgMkPMeJEL/ToUTr448/xqhRo5CUlIT8/HwAwLJly7B27VqPBhcICqsbWpR28HcFfjh+xGS1o6LeDED63VEX48ac+UuLVlO3oX+NpQOA1KggMAxgsNhRZbAIHQ4hpJHbidaKFSswf/58TJ48GbW1tXxV34iICCxbtszT8fm9pjUOgwOiDlm+H7Zoleqc3YYapQyRWvGV4ugMroWuUm+BySr9Qrpcy5zUuw3bolbI+ePiPlcIIcJzO9F68803sXLlSvz73/+GXN7U9D5kyBAcOXLEo8EFgjMVegBA17gQgSPxjQI/7NZoXi7A35Ll8CAltI1dbP7QquWPxUqbc64s0TTukxAiPLcTrby8PAwcOLDV7Wq1usXaVMQ1Z8qdiVZWrP8nWly3RrWfdWv42xqHzTEM02xAvPRnHnLH4I+vFQB0bfwcOVtBn8WEiIXbiVZmZiZycnJa3b5x40b07NnTEzEFFD7RCoAWrfjGJVz8rfuQu3j7Y3cU4F8zD/21hhanS+PM5bONLeWEEOG5PVdz/vz5mDdvHkwmE1iWxZ49e/DZZ59h6dKleP/9970Ro8+p5Cq8Nekt/ndvYVkWZ9tItHy1/85wNcbm220/EI7yujoUVBkxKC3SJ3G6oiPH0nw7f794JzcOHPeHoqX+UhUeaPt85IYgnKNEi3iAFK5FUuB2ovX3v/8dQUFBeOqpp2A0GnHbbbchKSkJy5cvxy233OKNGH1OKVdi3rB5Xt9Peb0Z9WYbZEzT2Apf7r8zXI2x+Xbn8w9h7/k60ZV46MixNMcPsPaDi3dbuJY6qbdoWe0OlNU1tj76wazDts5Hruswv8ooyuWuiLRI4VokBR2qPjZr1izMmjULRqMRer0ecXFxno4rIHDdhunRwVAr/KumT1u4OmH5flbiochPl9/hcC11Uq+lVaozwcECKrkMMcH+WUolIUwDrUoOo8WOgmojn3gRQoTj9ted5557Dnl5eQAArVbrl0mW3WHH9vPbsf38dtgd3pvSzo2juPjD0Ff77wxXY2y+XXKUMxER2xIhHTkWbjuWZf22WCnHXwbDc69TYoQGMpn0Z4e2dT7KZAy/wsQ5GhBPOkkK1yIpcDvR+uqrr5CVlYUrrrgC77zzDiorK70Rl6BMNhPGrhmLsWvGwmTz3sWlvYHwvtp/Z7gaY/PtEsKcp5vYWrQ6cizcdjVGK0xWBwAgIdxPW7SaLSwt5dIc/lZDq73ztmnmIY3TIp0jhWuRFLidaB06dAiHDx/GmDFj8MorryApKQlTpkzBp59+CqNRXBdQsQukGYcAkBrp7DosrzejweIf3464VpLYULXfdv/Gh2nAMIDF5pB0xXGuKry/Tlrg8IlWOSVahIhBh0ZK9u7dGy+88ALOnTuHbdu2ISMjAw8//DASEhI8HZ9fC7REK0KrRKjGOSywsMY/knJ/L4AJACqFDHGNpTmkPCCeW/jbn18rAOga19h1SEVLiYj17dtX6BB8ptNTUoKDgxEUFASVSgWr1eqJmAJCncmK8sb18brGBgscjW8wDON3A+Kbxmf5Z7chxx9qaXGxp/h5otUlxvnF7Uy5XtJdvYRcSkZGhkeX/WMYBt9//73HHq+5DiVaeXl5eP7559G7d28MGTIEBw8exJIlS1BaWurp+PwW15qVEKZBqMa/1se7lLQoZ6IlthIPHcXXZfKTcT/t4RKtCzXSTbQCofURADJjgsEwgK7B6nerMBDiDrvdDofDIXQY7idaI0aMQFZWFr7++mvccccdyM/Px5YtW3DXXXchPDzcGzH6pUDrNuSkRTlb7wqq/KNbozhAuqOSJT7zsPnsUH8tw8EJUsn514u6D4k3ff311+jbty+CgoIQHR2NcePGwWAwYMyYMXj44YdbbDt9+nTMnTu31WPceeedCA4ORnJyMt5++23+dpZlsXjxYqSlpUGtViMpKQkPPvggAGDMmDHIz8/H//3f/4FhGH6N2dWrVyMiIgI//PADevXqBbVajYKCAuzduxfXXXcdYmJiEB4ejtGjR+PAgQP8vjIyMgAAf/3rX8EwDP9/AFi7di0GDRoEjUaDLl26YMmSJbDZbG49T24nWtdeey2OHDmCgwcP4pFHHkFycrK7D0EQuIkW33XoJy1agdJKktQ4o1KqXYe6BiuMjRMw/P21AoAuNCCeeFlJSQluvfVW3HnnnThx4gS2b9+OG264we3u6j59+uDgwYN44okn8NBDD2Hz5s0AgG+++Qavv/463nvvPZw+fRrff/89P67r22+/RUpKCp555hmUlJSgpKSEfzyj0Yj//Oc/eP/993Hs2DHExcWhvr4ec+bMwe+//45du3ahW7dumDx5Murr6wEAe/fuBQCsWrUKJSUl/P9/++033H777XjooYdw/PhxvPfee1i9ejWef/55t47R7YKl7u5AipRyJV4a9xL/uzecLHW+wN3jQwXZf2e5GuPF2/FdhyIao9XRYwHg9zW0OPwYLYkWLeW6PGNCVNAo/WN26KXO266xwfj1VAX/hY6QjrjUOVZSUgKbzYYbbrgB6enpADo2wH3+/PkICwtD9+7dsXPnTrz++uu47rrrUFBQgISEBIwbNw5KpRJpaWkYNmwYACAqKgpyuRyhoaGtJuFZrVa888476N+/P3/bNddc02Kb//73v4iIiMCOHTtw/fXXIzY2FgAQERHR4vGWLFmCJ554AnPmzAEAdOnSBc8++ywee+wxLFq0yOVjdCnRmj9/Pp599lkEBwdj/vz5l9z2tddec3nnYqWSq/DoqEe9uo+TJXUAgB6JrRMtX+y/s1yN8eLtuETrQk0D7A4WchEUjuzosZhtdn5Cg793R0l9MLw/rXHIudR5y32BO0WJFumES51j/fv3x7XXXou+fftiwoQJGD9+PG666SZERnZ8HduRI0fyA9xvvvlmLFu2DF26dMHEiRMxefJkTJ06FQrFpdMWlUqFfv36tbitrKwMTz31FLZv347y8nLY7XYYjUYUFBRc8rEOHTqEnTt3tmhgstvtMJlMMBqN0Gq1l7h3E5cSrYMHD/IzCg8ePOjSA5P2VenN/AU6u40WLX+WFBEEpZyBxe5AaZ1J0i1BZTrna6hWyBAV7N8LrnKvU6XeApPVLrlWoaIAaXnkcIlWbmmdwJEQfyWXy7F582b88ccf2LRpE9588038+9//xu7duyGTyVp1IbpblSA1NRW5ubn45ZdfsHnzZtx33314+eWXsWPHDiiV7fc8BAUF8WO2OHPmzEFVVRWWL1+O9PR0qNVqjBw5EhbLpSeL6PV6LFmyBDfccEOrv2k0rn+5dinR2rZtW5u/+yu7w44DJc6BcoMSB0Eu8+xFJbex2zA9WotgdeuXwNv79wRXY2xru5RILfIqDcivMojiwtfRY2l+8b74je1vIrRKBCnlaLDaUaIz8cu8SIU/tmhd6rztHu8co1VWZ0at0YIIrX9/ESDecbnPRoZhMGrUKIwaNQoLFy5Eeno6vvvuO8TGxrYYN2W323H06FGMHTv2kvvbtWsXevbsyf8/KCgIU6dOxdSpUzFv3jz06NEDR44cwaBBg6BSqWC3u1b4eufOnXjnnXcwefJkAEBhYWGrVW2USmWrxxs0aBByc3ORlZXl0n7a4/YYrTvvvBPLly9HaGjLlhiDwYAHHngAH374YacCEgOTzYRh7zv7gvUL9AhWefaicqIx0eqR0HZrlrf37wmuxtjWdqlRzkSrsNoIdPVZyO3q6LHw47P8vNI44PxATY4Mwply53FLL9Hyv9mhlzpvQzVKJEcEoai2AafK9BiWGSVUmETCLnWO7d69G1u2bMH48eMRFxeH3bt3o6KiAj179uSHGf3000/o2rUrXnvtNdTW1ra5j2XLluGWW27B5s2b8dVXX+Gnn34C4JxBaLfbMXz4cGi1Wvzvf/9DUFAQPx4sIyMDv/76K2655Rao1WrExMS0exzdunXDxx9/jCFDhqCurg6PPvoogoJafhZkZGRgy5YtGDVqFNRqNSIjI7Fw4UJcf/31SEtLw0033QSZTIZDhw7h6NGjeO6551x+Ht2edbhmzRo0NLQep9HQ0ICPPvrI3YcLSPz4rIQwgSMRRnqUfxQtLQqQGlqcpGZrHkrNhQDrOgSA7MYvcrll9QJHQvxRWFgYfv31V0yePBndu3fHU089hVdffRWTJk3CnXfeiTlz5uD222/H6NGj0aVLl3Zbsw4ePIiBAwfiueeew2uvvYYJEyYAcA5MX7lyJUaNGoV+/frhl19+wY8//ojo6GgAwDPPPIPz58+ja9eu/GD29nzwwQeoqanBoEGDMHv2bDz44IOIi4trsc2rr76KzZs3IzU1FQMHDgQATJgwAevWrcOmTZswdOhQjBgxAq+//jqf7LnK5Raturo6sCwLlmVRX1/fon/Sbrdj/fr1rQInbeNmHPZsYyB8IPCXEg/+2B11KVz1eykOiA+U2aHNdY8PxdaT5TROi3hFz549sXHjxjb/plQq8c477+Cdd95p9/5HjhxBeHg41qxZg7Cw1o0O06dPx/Tp09u9/4gRI3Do0KEWt82dO7fNWl0DBw7kSzZwbrrpphb/57ooLzZhwgQ++esolxOtiIgIvjBY9+7dW/2dYRgsWbKkU8EEApvdgVNlXNdhYLZopYqwxENHFAVIAUwO13IntUTLbLOjIkBmhzbHDU04VUozDwkRksuJ1rZt28CyLK655hp88803iIpq6vNXqVRIT09HUlKSV4L0J+erjDDbHAhSyvlSB4GGa9GS+jI8gdZKkiTR6vAljfFqlP4/O7Q5fuZhWT1YlvX7CRuEiJXLidbo0aMBONc5TE1NhUzW6fWoA9LJxmb87IRQyERQQ0oIXIKpa7BCZ7QiXCvOoqyX4lzSxf8GWF+KVMdoNe/iDaRko0tsMOQyBroGK8rqzEgID5zWPELExO1Zh9wgMK7Y18V1KC4uFEZaOlkS2OOzAECrUiA2VI2KejPyqw3op40QOiS31RqtaLA6pwIHygUsuVmiJaUWkkCrocXRKOXIiNbibIUBuWX1AXOeEiI2bidaFRUVuOOOO7Bhw4Y2/+5qXQsxU8qVWDR6Ef+7J3EtWpcan+XN/XuKqzG2t11alBYV9WYUVBvRLyXCq7FeTkeOpaLeuahoTIhacsU7Oyo+XA2GASw2B6oMFsSEqIUOySX+mmi5ct5mJ4TibIUBp0rrMbr7pWdmEXIxKVyLpMDtROvhhx9GbW0tdu/ejTFjxuC7775DWVkZnnvuObz66qtuPdbSpUvx7bff4uTJkwgKCsIVV1yB//znP8jOznY3LI9SyVVYPGaxVx77WDGXaLXfouXN/XuKqzG2t116lBb782tEUeKhI8ey6VgpgKaZeIFArZAjNkSN8nozimsbJJNo+evsUFfO2+z4MKw/UkolHkiHSOFaJAVuD7TaunUrXnvtNQwZMgQymQzp6en429/+hpdeeglLly5167F27NiBefPmYdeuXdi8eTOsVivGjx8Pg8HgbliSUKk3o0RnAsMAvZPDhQ5HUGnR0p556K8X78uR4pqH/tqi5YrsBGeF+JNU4oEQwbjdomUwGPh6WZGRkaioqED37t3Rt29fHDhwwK3HurgGx+rVqxEXF4f9+/fj6quvdjc0j3GwDpyoOAEA6BnbEzLGMwP/jxTpAACZMcEIaWPpHW/v35NcjbG97bgB8WKYediRY7lQ67wt0BKt5Igg5BTWokhCMw/9ddKCK+dtz0TnEIVTpXpY7Q4o5eL7LCHiJYVrkRS4nWhlZ2cjNzcXGRkZ6N+/P9577z1kZGTg3XffRWJiYqeC0emciUjz0hHNmc1mmM1m/v91dd75ltZgbUCfFX0AeHYJnKMXnMfX9zKtWd7avye5GmN724mpxENHjuXurr8D8L+L9+UkSaxoKcuyftui5cp5mxqpRahagXqzDWfK9XziRYgrpHAtkgK309OHHnqIXyxy0aJF2LBhA9LS0vDGG2/ghRde6HAgDocDDz/8MEaNGoU+ffq0uc3SpUsRHh7O/6SmpnZ4f0LgWrQul2gFgrQo5xu2WNcAs016EyhKdNzFO3DGaAHS6zqs1FtgsTnAMIEzO7Q5mYxBzyRncnW08fOHEOJbbrdo/e1vf+N/Hzx4MPLz83Hy5EmkpaVdclHHy5k3bx6OHj2K33//vd1tFixYgPnz5/P/r6urk1SyxX3Q9aFECzEhKmhVchgtdlyoaUDX2BChQ3JLSW0DAFnAtWglSyzR4uKMC1VDpQjMbo8+SeHYk1eNY8V1uFnoYAgJQG4nWhfTarUYNGhQpx7j/vvvx7p16/Drr78iJSWl3e3UajXUamnMdLpYld6MYp1zrEjvJGq+ZxgGaVFanCytR0G1UXKJVoXeAgYav+uOupymoqXSGKMVqJMWmuM+b44X04B4QoTgUqLVvBXpcl577TWXt2VZFg888AC+++47bN++HZmZmS7fV2q4bsMuMcEI1VA9EgBNiZYEZx6yLKBRBNaSLkBTi1al3gyT1S76GmL+Oj7LHb2TGxOtkjo4HGzArkhBiFBcSrQOHjzo0oO5Wyl63rx5+PTTT7F27VqEhoaitNRZmyg8PBxBQf71wch1G/ZNoW5DDjcgXgy1tDoiOcCWdAGACK0SQUo5Gqx2lOpMyIgR9+BYSrSArrEhUClk0JttyK82IlPkrxkh/salRGvbtm1e2fmKFSsAAGPGjGlx+6pVqzB37lyv7FMoOYU0EP5iYirx0BHJkYF38WYYBkkRGpytMKCotkH0iRZ1HQJKuQw9E0Jx6IIOx4p1lGgR4mMdHqN15swZnD17FldffTWCgoI6tPYZy7Id3b1XKeVKPDLyEf73zmJZFgcLagAAA9Mifb5/b3A1xkttlxbt/MAvqBa2QK27x7IvvxrnzsqREqn1VYiikhQRxCdaYufPLVrufE70SgpvTLTqcH2/JF+ER/yAFK5FUuB2olVVVYUZM2Zg27ZtYBgGp0+fRpcuXXDXXXchMjLS7WV4xEglV+Hl8S977PEKqxtQZbBAKWdcGgjv6f17g6sxXmq79GYtWkIuUuzusfzry0PIwwWkBGCLFiCtmYf+WqwUcO9zgvvcOUYD4okbpHAtkgK35zv/3//9H5RKJQoKCqDVNn2jnzlzZqtK78TpQGNrVu+kcNEPHval5MggyBjAZHWgvN58+TuIxIUaZ1dnoCZaUqml1WCxo9pgARCY3bzN8YlWkU60PQmE+Cu3W7Q2bdqEn3/+uVUZhm7duiE/P99jgQnJwTpQoCsAAKSFp3V62YGmbsMIQfbvDa7GeKntlHJnHaoLNQ0oqDYiPkyYgpLuHsuZ6jywCA3orkOgqbVIrLhuwxC1AmGaTleyER13Pid6JoZBLmNQZbCgRGfyyxY+4nlSuBZJgdvPmsFgaNGSxamurpZsjauLNVgbkLk8E5nLM9Fg7fy39gMFtQCAQS6Mz/LG/r3B1Rgvt50YZh66eywHLLPAwoLUAG0lkcoyPEX8QHiNX84OdedzQqOUIzs+FABwqLDWB9ERfyCFa5EUuJ1oXXXVVfjoo4/4/zMMA4fDgZdeegljx471aHD+oMFix4kS57gIV1u0Agm3FE9BlbAD4t2lkssQE+IfXyzclcwXLW0QdTdUYeNs1tQAbXm82IDGz58cSrQI8Sm329NfeuklXHvttdi3bx8sFgsee+wxHDt2DNXV1di5c6c3YpS0I0U62Bws4kLVfjnzqbOkWuIhKUITsIUfE8OdY+vMNgcq6s2IE6jL93Iu1Di/gadGUaIFAANSI/Dp7gIcpESLEJ9yu0WrT58+OHXqFK688kpMmzYNBoMBN9xwAw4ePIiuXbt6I0ZJ25dfDcDZmuWP3RedxXcdSizRCuSkWaWQIaExuSqsEW93QqBPWrjYgNQIAMCRCzrY7A5hgyEkgLjVomW1WjFx4kS8++67+Pe//+2tmPzKnjxnojUsM1rgSMSJb9GSWHX4pEhxtuL4SkqUFsU6Ey7UGDE43bWxh77GJYGUaDl1jQ1BiFoBvdmGU2V69KI1VwnxCbdatJRKJQ4fPuytWPyOze7AvvPOGYfDM6MEjkac0hpbtKoMFujNNoGjcV1yRGB3R3HjngpF3BJZxLdoBfZrxZHLGPRrXALs0IVaYYMhJIC43XX4t7/9DR988IE3YvE7x0vqoDfbEKpRoGcifXtsS5hGiUits+KwlFq1ArnrEABSo5zHf0GkXYcNFjsq9c4aWjQYvgnXfZjTOBOaEOJ9bg+Gt9ls+PDDD/HLL79g8ODBCA5uuW7Wa6+95rHghKKQKXDfkPv43zuK7zbMiILcjYHTntq/N7kaoyvbpUUHo8ZYi4JqgyDdGe4cS4L8L9Cb7UiLCvFVeKLEtRIV1ogzOebGZ4WqFQgLEud7qLM68jnBJ1o0IJ64QArXIilw+5k7evQoBg0aBAA4depUi7/5y2BvtUKNt6e83enH2XWOG5/lXrehp/bvTa7G6Mp26VFaHCqsFayWlqvHImeU0Br/CbWDRWa0OMcl+QpXQ6ywWpwtWlxLW0qU1m8+ly7Wkc8JrsTDqfJ66M02hKjp4knaJ4VrkRS4/S7btm2bN+LwOw4Hi73nnYnW8C40EP5SpFLiobTOBLuDhVLOIC40MGtocbiSCcW1DbA7WLdabH2BZhy2LS5Ug+SIIBTVNuDwhVpc0TVG6JAI8XtUT78NLMuiwlCBCkNFhwsyniyth67BimCVHH3c7A7zxP69zdUYXdmOGxAvVKLl6rEUVhthhw6x4Wb4aSOJy+LDNFDKGdgcLErrxLcUTyDMOOzo5wRXOJmbqENIe6RwLZICSrTaYLQaEfdKHOJeiYPR2rGL/+9nKgA4uw0VcveeZk/s39tcjdGV7dKjhF2Gx9VjOVtZjQtBs/Bnww2ifV18RS5j+PXyxDjzkGvR8ueB8B39nBia4RzKwLW4E9IeKVyLpIASLS/57XQlAOCqbrECRyJ+6dHOCRVFtQ2iLqQo9rX9fI1LYsQ48/BCALRodRSXaB3IrxH1+40Qf0GJlheYrHbsbpxxeHV3GgNxOXGhaqgUMtgdLIprxdcNxSmiRKuFlEgxt2hxiZb/tmh1VHZCKEI1ChgsdhxvXIeVEOI9lGh5wZ68alhsDiSGa9A1NrDLALhCJmP4AfH51eJdXLpYhC03QuIGxIutRctgtqHa4KyhlRJFLVoXk8sYDGms5s+VoCGEeA8lWl7w22nn+Kwrs2L8dmq5pwk9TssVRTrxxiYEvkVLZLW0uMQvPEiJMI1S4GjEaWgmjdMixFco0fICfnxWdxqf5SqudUSM3VAAYLU7UKIzCx2GqPAtWiJ7zai0w+UNaxynte98Dc0mI8TLKNHysOLaBpwsrQfDAKO6Uv0sV2U0lnjIqxRn12FRjbNeFGnCJTKldSZYbOIZVM0l6/4847Cz+qaEQ6WQocpgwdkKcb7nCPEXVBa4DQqZAnP6z+F/d8eWE2UAgEFpkYgO6VhRy87s31dcjdHV7TIbx7Kdr/L9h74rMeZXG8FAjkTlBIzvlSDa18WXYkPU0ChlMFkdKNE18LNHhRYoMw478zmhVsgxIDUCe/Kqsfd8NbLiaCwpaU0K1yIpoGeuDWqFGqunr+7QfTcddyZa1/WKF2T/vuJqjK5u1yXGeZE+X2X0eaVxV2IsqDKAgRKTk5/D+9OH+CYwkWMYBimRWpwp16OwmhItX+vs58TwzCjsyavGrnNVuHVYmucCI35DCtciKaCuQw+qN1mx61wVAGBcz44nWoEoKSIIKrkMFptDlPWquKr13OxI4sQlMxdENCCeG5yfSq/VJXHL7+w8U0XjtAjxIkq02sCyLAwWAwwWg1sfQDtOVcBqZ9ElJrhTTfEd3b8vuRqjq9vJZQzSBRqn5UqM+VVGsGCREAFRvy6+xo2DEtPMQ26Mlr/X0Ors58Sg9AholDJU6s04Vab3QoRE6qRwLZICSrTaYLQaEbI0BCFLQ9xaduAXD3Qbdmb/vuRqjO4cS2Zj96GvEy1XYiyoNoKFGf/c2lvUr4uvpUZxRUvF0QpZa7SgzmQD0BSbv+rs54RaIeerxP9+ptLT4RE/IIVrkRRQouUhJqsdW06UA+h8ohWoMmOFSbQuh2VZwRa8FrsUfhkecTw/XB222FA1tCoagno5V2Zx3YeUaBHiLZRoecj23HLUm21IDNdgUFqk0OFIUmbjYOpzIku0KvRmGC12UO3Z1pq6DsXRopXfmBCn0/gsl4xqTLR2nauCldY9JMQrKNHykB8OFQMApvZPgsyHM+b8SVPXobjGi3BjfhLDNAJHIj5c91xFvRkmq13gaJpeq7RoSrRc0SsxDJFaJYwWO3IKa4UOhxC/RImWB9SbrHy34V/6JwkcjXRxXYdFNQ0w24S/aHO47igqgNlaeJASoRpnF50YqvrnN9ZhS48SR6kJsZPJGFzR2Kr1+2nqPiTEGyjR8oDNx8tgtjnQJSYYvZPChA5HsmJD1AhRK+BgxXHR5vCJVrR/D67uCIZpmi16XgTrVHKvVTq1aLmMG6dFA+IJ8Q5KtDzgmwMXADi7DWkR6Y5jGIbvPjwnomVBuIHwVJepbVyh0nwBqvpfrIC6Dt12VTdnonWwoAY1BovA0RDif2haThvkMjlu6nUT//ulnK80YOeZKjAMcNPgFJ/vXyiuxujusWTGBONIkc6nMw8vFyOXQGREhYr+dRECt05lvsAtWiarHaV1JgCBMRjeU58TKZFaZMeHIresHr+ersC0AcmeCpFInBSuRVJAiVYbNAoNvrr5K5e2/XxvIQDg6m6xHmvxcGf/QnE1RnePRYhaWpeLsaCxRlRWbBS+Giju10UI3HgoIdapbO5CjREsC4SoFYgKVgkaiy948nPimp5xyC2rx5YT5ZRoEZ4UrkVSQF2HnWCxOfD1fmeiddtwWivME7rEiqvEg8FsQ6XeDIC6o9qTLpIWLW7/aVFa6sJ307U94gA4V7ewUZkHQjyKEq1O+PlYKSr1FsSFqnFN4wcV6RyhqsO3h2ulidAqER6kFDgaccpofM2KahsErcVEA+E7bmBaJCK0SugarDhQUCt0OIT4FUq02mCwGMAsYcAsYWCwtH3BZ1kW//31HADglmFpUMo991S6sn+huRqju8fCXbQr6s2oN1k9Fu+lXCpGLuHrEhMsiddFCHGhamiUMtgdLIoELFwaaAPhPXk+ymUMxnSPBQBsOVnmifCIH6DPPM+gRKuD/jhbhSNFOmiUMswZmS50OH4jTKNETIgaAHC+UvhyAdzsxy6xHV8k3N8xDCOKcVpUQ6tzrunpXDps28lygSMhxL9QotVB7+44CwCYMSQV0Y2JAfGMLlyJBxFUiD9X4YyBGztG2iaGcVrc8jtpATDj0BtGd4uFXMbgVJke50XSdU+IP6BEqwNyCmvx2+lKyGUM7r6qi9Dh+J2ucc6k5ky58IlW865D0j6uy1eoRMvuYHGhcXYojdHqmHCtEiO7RAMANhwtFTgaQvwHJVpuYlkWL244AQCYPiCZilh6QVZcKADhEy2WZanr0EVcK5JQRUtL60yw2B1QyBgkhtOalB01qW8CAGDD0RKBIyHEf1Ci5aZtueXYda4aKoUM88d3Fzocv5QV50xqTgucaFXozag328Aw1EpyORnRwo7Rym9seUyN0kLhwYkpgWZC7wTIGODwBZ2olsEiRMroE8kNDRY7Fv9wHABwxxUZSI6gte+8gUu0zlcaBC0XwLVmpUQGQa2gqsiXwiWihdUNsDtYn+//LHXxekRMiBrDM53dhxup+5AQj6DK8G2Qy+SY3G0y/zvnja2nUVBtRGK4Bg9c283n+xcTV2PsyLEkhWugVclhtNiRX2XkEy9vaS/GpvFZIZfcjgBJEUFQyhlY7A6U1pl8/iUkj+/iDZxEy1vn4+S+CfjzXBXWHy3B3VfTGNRARp95nkGJVhs0Cg1+uu2nFrf9ebYK7zXONFzyl94IUXvvqWtr/2LjaowdORaGYZAVF4LDF3Q4U17v9USrvRgvnnEohddFKHIZg9RILc5VGpBfafB5osXNUM2MCZyxdN46Hyf0TsDCH47hYEEtimsbkEQt9wGLPvM8g7oOXVCqM+HBzw/CwToXjh7fO0HokPxeVuPgcyEHxPMD4ak7yiVc96EQyydxrY+Z9Fp1WlyYBkPTowAAPx4qFjgaQqRP0ETr119/xdSpU5GUlASGYfD9998LGU6bagwWzP5gNyrqzegeH4Jnp/UROqSA0DVO+ESL7zqkGYcu6dr4PHEJqq9YbA5+4HbXAOo69KbpA50LS397oAgs6/sxd4T4E0ETLYPBgP79++Ptt98WMoxWDBYDgl8Ihvb5YEx/ZwtOl+uREKbBh3OHIkjl/X5qbv/BLwSLdtkDV2Ps6LF08+HMw7ZitNod/JIuXNehFF4XIXEJ6dkK3ybHBdUGOFggWCVHbGjgFA/25vk4pW8iVAoZcsvqcbykzqOPTaSDPvM8Q9AxWpMmTcKkSZNc3t5sNsNsNvP/r6vzzgeA0WKD0eq8yObVG5ESHoGP7hqGlEjfTfHn9i9mrsbYkWPhxmWdrdDD4WAhkzFuP4Y7Lo6xoNoIm4NFkFKO+FBNu9uRJlxrkq8r+nMtaJmxwWAY754nYuOt8zFcq8R1PePx05ESfHugCL2Twr2yHyJ+9JnXeZIao7V06VKEh4fzP6mpqV7Zz/u/neN/H54RhbX3X8kX0SS+kRalhUoug8nqQFGt7xcq5i/eMcFeT/L8Bdfde6GmASar3Wf7vXh2KPGMvzZ2H67NKYZNwDIrhEidpBKtBQsWQKfT8T+FhYVe2c+ckZn876vuGBpQ3RFioZDLkBHjbEE84+OuKKBpbFhXL8949CfRwSqEaRRgWd8WLm2eFBPPGZ0di6hgFSr1Zvx2plLocAiRLEklWmq1GmFhYS1+vCFcq+R/D7SuCDHpxi3FU+b7ROt0WT0AoDslWi5jGIZPTM+W+y7Rapq0QImWJynlMvylfxIA4Kt93vlSS0ggkFSiRQILN07rVGPS40unyp377BZPXcbu4LrvfDkgnhsTRl2HnnfLMOfwjE3HylBeZxI4GkKkiRItIlrZCc4kJ9fHiZbdwfJdh93j6eLtjq5xjQPifZRo6RqsqNRbAIDvaiae0yMhDEPSI2FzsPhiL7VqEdIRgs461Ov1OHPmDP//vLw85OTkICoqCmlpaYLFJWNkGJ0+mv890PbvCldj7Myx9GhMtE6V1cPuYCH30qD0i2MsrDbCZHVApZAhPTq43e1Ia135Eg++6To839htGBuqRqhGeZmt/YuvzsdZI9KwL78Gn+0pwH1js7z2PiTiQ595niFoorVv3z6MHTuW///8+fMBAHPmzMHq1asFigoIUgZh+9ztAbt/V7gaY2eOJT06GBqlc+ZhfpXBa4VDL47xVJlzMd2s2JAWFxUpvC5C40s8VOjBsqzXxzg2dRsG3vgsX52Pk/ok4pkfj6NYZ8K2k+UY1yve6/sk4kCfeZ4haIo6ZswYsCzb6kfIJIuIh1zGILtxjNTJUt91H56mbsMOS4sKhlzGwGCxo6zOfPk7dBLXxUvV+71Ho5Tj5iHOsVof78oXOBpCpIfaAomo9Uhwziw96cPq1NzgexoI7z6VQob0KOdYKV8MiD9VRkmxL9w2LA0MA+w4VcHPyCWEuIYSrTYYLAbEvhyL2JdjBVl2QOj9u8LVGDt7LNyAeG+2aF0cI3fxzr4o0ZLC6yIGXWJ9NyCeL8MRgEmxL8/HjJhgjG/sMnz/tzyv7ouIB33meQYlWu2oNFai0ihckT6h9+8KV2PszLH0SPRN1yEXo83uwFm+67D1xVsKr4vQuAHx3l4Q3GS1I79xPcpuAdqi5cvz8R9XdwEAfHewCOX1VOohUNBnXudRokVEjes6LKg2Qm+2eX1/BTVGWOwOBCnlSIkM8vr+/FFT/TPvJlpnyvVgWSBCq0RsCK3e4G2D06MwKC0CFrsDH/1BY7UIcRUlWkTUooJViA9zXkRzfTAgnttH94RQWuOwg7jk2NuFZk+Xc9X7Q2kFBx/hWrU+3pXvky8+hPgDSrSI6GVzA+JLvT8g/kTjoPveSd5Z3ikQZMWFgGGAKoMFFfXem3nItZgFarehEK7rlYAuMcHQNVix5o/zQodDiCRQokVErydXId4HLVonSpz76JVIiVZHBankyGgs9OrN1yyQB8ILRS5j8MC1WQCAlb+dQ73JKnBEhIgfJVpE9LgB8Sd8UOKBWrQ8g5ux6c3lk6hFSxh/6Z+MLrHBqDVasXrneaHDIUT0BK0ML1YyRoYhSUP43wNt/65wNUZPHEvPxtalEyX1cDhYj4+d4mK02R2oOm+FglHz44za2o77nbSve0IoNh4rRa6XunsbLHYU1jhnHAZqi5ZQ56NcxuCha7vhoc9zsPK3c5gzKgNhAbb8UaCgzzzPoESrDUHKIOy9e2/A7t8VrsboiWPJig2BRimD3mxDXpWBLx/gKVyM23LLcceqvegSG4Iglbzd7cjl9fBydy834zAqWIWYAJ1xKOT5eH2/JLy19QxOl+vx7vazeGxiD0HiIN5Fn3meQSkqET2FXIbeSeEAgCMXdF7bz/FiZ+sLjc/qvGx+QXA9HA7W449/vMR5HnAJHfEtuYzhk6v3f8/DhcbWRUJIa5RoEUnom+xMtA77INGi8Vmdlx6lhUohQ4O1qYvPk+i1Et64nnEY2SUaFpsDL23MFTocQkSLEq02GK1GZCzLQMayDBitvv+mJvT+XeFqjJ46Fi7ROlrk+USLi/GDs5PhgAm92rl4S+F1EQuFXIZujYVLvVHV/xifaIV7/LGlQujzkWEY/HtKTzAM8MOhYhwoqPF5DMS7hD7H/AUlWm1gWRb5unzk6/LBsp7v9hD7/l3haoyeOpZ+KY2JVrEOdg93RXExmtkyAO1fvKXwuogJN6GAa33yFIeD5WeHtpcUBwIxnI99ksNx06AUAMDCtUdhszsEiYN4hxjOMX9AiRaRhC6xIdCq5DBa7F5drDg1MghRwSqvPX4g6ZvsTII83QqZX22EwWKHWiFDl5hgjz42cd9jE3sgTKPA0aI6rPmTluYh5GKUaBFJkMsYfjzOES90H3L6p0Z47bEDTd/GVkhPv17HipsGwivk9BEmtNhQNRZM7gkAeHVTLoprGwSOiBBxoU8pIhl9kyMAeHdAPNdFSTqvV2I4ZAxQXm9GeZ3JY4/Ljc/qFcDjs8Rm5pBUDEmPhNFix9PfH6VuJkKaoUSLSEb/VOeF9aCHB902vyj0T4nw6GMHsiCVHFmNA+I92apFMw7FRyZj8MINfaGSy7DlZDm+3FcodEiEiAYlWkQyBqdHAnC2aDRY7B573OblB7KpLpNH9Un2fPdhU4sWJVpi0j0+FP8a3x0AsOTH48ivMggcESHiQJXh28AwDHrF9uJ/D7T9u8LVGD15LMkRQUgI06C0zoScwlqM7BrdqcfjHC6sg9KRBo1SBo2y/beEFF4XsembHI5vDxR5bEB8ia4BlXozZAwVKxXj+fj3q7pg68ly7M6rxvwvD+GLf4ygcXQSJsZzTIoo0WqDVqnFsfuOBez+XeFqjJ48FoZhMDgjEj8dLsG+89UeS7ROlJiRZH4HdwzJgFapbXc7KbwuYtPXwy1aOQW1AJylI7SqwP74EuP5KJcxeHVGf0xa9hv259fgpZ9z8WTjQHkiPWI8x6SIvmoQSRnS2H24L99z47S4QosDaMahx/VKCoOMAcrqzCiv7/yA+JzCWgDAgLSITj8W8Y6USC1euqkfAOC/v57DhiMlAkdEiLAo0SKSMiQ9CoAzOfLEGnr1JivfrTUsM6rTj0da0qoU/IB4rjWqMw42PsZASopFbVLfRPzj6i4AgEe+OoTTZd5ZXJwQKaBEqw1GqxG93+mN3u/0FmwJHiH37wpXY/T0sfRMDIVWJUe9yYZT5Z3/8N53vgY21oQK7TyM+2SIT48lUHCTGPZ3shXSZnfgcFEtAGAgtWiJ/nx8bEI2hmdGwWCxY+6qvR5p0SS+JfZzTCoo0WoDy7I4XnEcxyuOC7YEj5D7d4WrMXr6WBRyGX+R3Xu+892Hu/KqAABGNt/nxxIoBje2Qna2u/dkaT1MVgdCNQp0iQnxRGiSJvbzUSGXYcXfBiMjWoui2gbctXofDGab0GERN4j9HJMKSrSI5AzPdA6C/+NMZacfa9e56k4/Brk0blzdkQs6mKwdL8txsNlYOpmMZkBJQVSwCqvvGIaoYBWOFOnwwGcHYaX1EEmAoUSLSM6orBgAwB9nqzq1wLTebPP4OnyktfRoLWJCVLDYHZ2afcglxcMyaCydlGTEBOP9OUOgVsiw9WQ57v/0ACVbJKBQokUkp39KOELVCugarJ1KlP44Uwm7g0VqZJAHoyMXYxiGH6e1r4PdvSzLYndjN+8ID5X1IL4zKC0S780eDJVchp+PleGBT6lliwQOSrSI5CjkMv5i+3snug93nKoAAFzVLcYjcZH2DW1shfrzXFWH7n+2Qo9KvQVqhYzWo5SoMdlxeO92Z7K18Vgp7vvkQKe6kgmRCkq0iCRxydFvpys6dH+WZbE9tzHR6k6Jlrdd2fh67cmrgtnm/sX1z8Zuw8HpkVAr5B6NjfjO2Ow4Z8uWQobNx8tw28pdqDZYhA6LEK+iRKsNDMMgPTwd6eHpgi3BI+T+XeFqjN46ljHd4wA4Zx7WGt3/oD5boUdRbQNUChlGZMYKeiyBIDs+FDEhapisjg6Vedh1trHbsAt1G3Kkej6O7RGH/901HGEaBQ4U1OKmFX/gfCWtiyhGUj3HxIZhJTxns66uDuHh4dDpdAgLowVmA82E139Fblk9Xp/ZH38dmOLWfVf+eg7Prz+Bq7rF4OO7hnspQtLcw58fxPc5xZg3tisendDD5fvZ7A4MenYz6kw2fHPvSL5cBJG202X1mLtqL4pqGxCqUeC1GQNwXa94ocMiPhJI129q0SKSNb6380N507Eyt++7/qhzWZBxPemD3Veu7BYLAPj9tHvj6vbn16DOZEOkVokBqZHeCI0IoFt8KL677woMSY9EvcmGuz/ah/9sPEmD5InfoUSLSNb4XgkAnIPa3RlUe6HGiIMFtWAYYFLfBG+FRy7Cjas7dEGHsjrXq4RvPVkOwDmYWk71s/xKXJgGn/1jBO4clQkAWLH9LG545w9asof4FUq02tBgbcDQlUMxdOVQNFgbAm7/rnA1Rm8eS5/kMCRHBMFoseOXE663am04UgoAGJ4ZhbhQjSiOJRDEh2n4qv6bjpW6fL8tjYnWNT3ivBGWZPnL+aiUy7Bwai+8fdsghAcpcaRIhylv/o4V28/CYqPWLSH5yzkmNIXQAYiRg3VgX/E+/vdA278rXI3Rm8fCMAz+OjAZb207g6/3X8D1/ZJcut8Ph4oBAFMatxfDsQSKSX0ScLCgFhuOlmL2yIzLbn+2Qo8z5XrIZQyu7h7r/QAlxN/Oxyn9EjEkIxKPf3MY23Mr8J+NJ/HV/kIsntqbXnuB+Ns5JhRq0SKSdtNg5yD4X09VuNQddfhCLY4U6aCSyzC5D3Ub+trE3okAgN151S5N6//uQBEA4OpuMQgPUno1NiK8+DANVs0dildu7o+YEBXOVRhw+4d7cPdH+3CytE7o8AjpEEq0iKRlxARjaEYkHCzw5d7Cy27/v135AIDJfRMQHaL2dnjkImnRWvROCoPdwWJtTtElt3U4WHx30LnNXwe5N6uUSBfDMLhpcAq2PjIGd47KhFzGYPPxMkxa/hse+OwgzpTrhQ6RELdQokUkb9bwdADA6j/Oo8HS/qD4GoMFa3Oc3YazR6b7JDbS2i1DUwEAn+wuwKWqy+w9X42i2gaEqBUYT9P+A06YRomFU3th40NXYUrfRLAs8OOhYlz3+g78fc1e7DxTecnzhxCxoESLSN71/RKREhmEKoMFX+wtaHe7lb+dg9nmQO+kMAxKozIBQpk+MBlalRxnyvXYnVfd7nYf/elsfZzSNxEaJVWDD1Td4kPx9qxBWP/gVbiuVzxYFvjlRDlmvb8bE5f9ho//PI8aqi5PRIwSLSJ5CrkM94zuCgB4e/tZ1JmsrbYp0TVg9R/nAQAPj+tOVY4FFKpRYtqAZADOwrFtya8yYENjrbM7rszwVWhExHolhWHl7UOw5V+jcfvIdGhVcuSW1ePptccw7IVf8I+P9mHj0ZJLtmoTIgSaddiOGK2w698JvX9XuBqjL47l5iEp+PD3PJyrNOCFn07gxRv78X9zOFg8+e0RGC12DE6PxLiercsEiOlYAsHfr8rEF3sLsOVkOfadr8aQjJbV3l/amAsHC4zJjkWPBP+uGt0ZgXg+do0NwTPT+uBf47Pxzf4L+ObABRwrrsOm42XYdLwMGqUMV2bF4rpecbimRzxiQ2ksZmcE4jnmabQED/Ebf5ypxG3v7wYALJjUA/+4ugtYFnh+/Ql88HseVHIZfnrwSnSLDxU4UgIAj399GF/sK0RWXAjWPXAl3z34y/Ey/P2jfZAxwE8PXoWeifTeJpd2srQO3x0owrrDJSiqbVnvqUdCKIZnRmFEl2gMy4yiSTAiEUjXb0q0iF95a+tpvLLpFACgV2IYzDY7zlY4F6x99eb+uHEwzV4Ti2qDBeNf/xWVejPGZsfitRkDcLRYh/s+OYB6kw13jsrEwqm9hA6TSAjLsjhRUo9fTpThlxNlOHxB12qbLjHB6JMcjr7J4eiTHI7eyWEI01DpEF8LpOs3JVrEr7Asi/d/y8NLP5+E1e48tYOUcjw3vQ8lWSL059kq3LF6D0zWlsUQh2VE4X9/Hw6VgoaRko6r1JuxJ68au89VYde5auS2s7RPSmQQusaGoEtsMP9vl5gQxIWqIaNln7wikK7foki03n77bbz88ssoLS1F//798eabb2LYsGGXvZ+3XqgGawMmfTIJALBh1gYEKYM89thS2L8rXI1RqGMprzdh55lKyBgGY7rHIVzb/jdWsR+Lv9ufX42nvj+GEyV1UClkuGlwChZe34tmGl4GnY/uqzZYcPhCLY4W6XCkSIejRXWtuhqbU8oZJIRrkBQehOSIICRGaJAUEYTYEDWiQ1SICnb+G6pW+OUEG2+eY4GUaAk+GP6LL77A/Pnz8e6772L48OFYtmwZJkyYgNzcXMTFCbO2mYN1YEf+Dv73QNu/K1yNUahjiQvV4K8DXWvBEvux+LvB6VFY/+CVqDFaoVHKoFUJ/rEkCXQ+ui8qWIUx2XEYk910bak2WHCmXI+zFXqcq9DjbIUBZyv0KKw2wmpnUVjdgMLqS6/zp5LLEBWsQlSwChFaJULUCoRqlAjVKPifELXz/yEaBTQKOTRKGTRKeeOPrPE2OdQKmWha0egc8wzBP9Fee+013H333bjjjjsAAO+++y5++uknfPjhh3jiiScEjo4Q4gsMwyAqWCV0GCQARQWrMCwzCsMyW858tdkdKKs3o7i2ofHHxP9eabCg2mBGtd4Cg8UOi92B0joTSl1YBswVKoUMGoUMaqUcShkDuZyBUiaDXMZAIZdBIWOgkDPOf2Uy/ne5TAalnHFuJ2Mgk3G3N/4wTbfxf2Oc95PL0PJfBrCxnjmeQCdoomWxWLB//34sWLCAv00mk2HcuHH4888/W21vNpthNpv5/9fV0dpXhBBCPE8hlyE5wtlleCkmqx1VBguq9GZUGSyoa7Ci3mRDvckGvbnpd+ePFXqzDSarHSarA2ab81+T1Q6bo2kUj8XmgMXmAEw2bx/mJTlgAqhHutMETbQqKytht9sRH99yeY34+HicPHmy1fZLly7FkiVLfBUeIYQQckkapdylhOxybHYHTDZHYxLmTMAsNgdsDgdsDhY2O+v8vcW/jT/21ts4WOff7Bf/sO3cZm/9N5PNiA/Pe+Z5CmSCdx26Y8GCBZg/fz7//7q6OqSmpgoYESGEENJ5CrkMIXIZQtTiuSwbLAZ8uFToKKRP0Fc0JiYGcrkcZWVlLW4vKytDQkJCq+3VajXUaio2RwghhBBpELRIjUqlwuDBg7Flyxb+NofDgS1btmDkyJECRgZolVpoldqA3b8rXI2RjoUQ76DzkXgbnWOdJ3gdrS+++AJz5szBe++9h2HDhmHZsmX48ssvcfLkyVZjty4WSHU4CCGEEH8RSNdvwTuDZ86ciYqKCixcuBClpaUYMGAANm7ceNkkixBCCCFE7ARv0eqMQMqICSGEEH8RSNdvWkisDSabCVM+nYIpn06Byeb7gm1C798VrsZIx0KId9D5SLyNzjHPELzrUIzsDjvWn17P/x5o+3eFqzHSsRDiHXQ+Em+jc8wzqEWLEEIIIcRLKNEihBBCCPESSrQIIYQQQryEEi1CCCGEEC+hRIsQQgghxEso0SKEEEII8RIqWEoIIYQQnwqk6ze1aBFCCCGEeAklWoQQQgghXkKJFiGEEEKIl1CiRQghhBDiJZRoEUIIIYR4CSVahBBCCCFeQokWIYQQQoiXUKJFCCGEEOIllGgRQgghhHgJJVqEEEIIIV5CiRYhhBBCiJdQokUIIYQQ4iWUaBFCCCGEeAklWoQQQgghXkKJFiGEEEKIlyiEDqAzWJYFANTV1QkcCSGEEEJcxV23ueu4P5N0olVfXw8ASE1NFTgSQgghhLirvr4e4eHhQofhVQwr4XTS4XCguLgYoaGhYBjGo49dV1eH1NRUFBYWIiwszKOPTTqOXhdxotdFnOh1ESd6XZwtWfX19UhKSoJM5t+jmCTdoiWTyZCSkuLVfYSFhQXsG0HM6HURJ3pdxIleF3EK9NfF31uyOP6dRhJCCCGECIgSLUIIIYQQL6FEqx1qtRqLFi2CWq0WOhTSDL0u4kSvizjR6yJO9LoEFkkPhieEEEIIETNq0SKEEEII8RJKtAghhBBCvIQSLUIIIYQQL6FEixBCCCHESyjRasPbb7+NjIwMaDQaDB8+HHv27BE6pIDy66+/YurUqUhKSgLDMPj+++9b/J1lWSxcuBCJiYkICgrCuHHjcPr0aWGCDSBLly7F0KFDERoairi4OEyfPh25ubkttjGZTJg3bx6io6MREhKCG2+8EWVlZQJFHBhWrFiBfv368cUvR44ciQ0bNvB/p9dEHF588UUwDIOHH36Yv41em8BAidZFvvjiC8yfPx+LFi3CgQMH0L9/f0yYMAHl5eVChxYwDAYD+vfvj7fffrvNv7/00kt444038O6772L37t0IDg7GhAkTYDKZfBxpYNmxYwfmzZuHXbt2YfPmzbBarRg/fjwMBgO/zf/93//hxx9/xFdffYUdO3aguLgYN9xwg4BR+7+UlBS8+OKL2L9/P/bt24drrrkG06ZNw7FjxwDQayIGe/fuxXvvvYd+/fq1uJ1emwDBkhaGDRvGzps3j/+/3W5nk5KS2KVLlwoYVeACwH733Xf8/x0OB5uQkMC+/PLL/G21tbWsWq1mP/vsMwEiDFzl5eUsAHbHjh0syzpfB6VSyX711Vf8NidOnGABsH/++adQYQakyMhI9v3336fXRATq6+vZbt26sZs3b2ZHjx7NPvTQQyzL0vslkFCLVjMWiwX79+/HuHHj+NtkMhnGjRuHP//8U8DICCcvLw+lpaUtXqPw8HAMHz6cXiMf0+l0AICoqCgAwP79+2G1Wlu8Nj169EBaWhq9Nj5it9vx+eefw2AwYOTIkfSaiMC8efMwZcqUFq8BQO+XQCLpRaU9rbKyEna7HfHx8S1uj4+Px8mTJwWKijRXWloKAG2+RtzfiPc5HA48/PDDGDVqFPr06QPA+dqoVCpERES02JZeG+87cuQIRo4cCZPJhJCQEHz33Xfo1asXcnJy6DUR0Oeff44DBw5g7969rf5G75fAQYkWIcRt8+bNw9GjR/H7778LHQoBkJ2djZycHOh0Onz99deYM2cOduzYIXRYAa2wsBAPPfQQNm/eDI1GI3Q4REDUddhMTEwM5HJ5q1kfZWVlSEhIECgq0hz3OtBrJJz7778f69atw7Zt25CSksLfnpCQAIvFgtra2hbb02vjfSqVCllZWRg8eDCWLl2K/v37Y/ny5fSaCGj//v0oLy/HoEGDoFAooFAosGPHDrzxxhtQKBSIj4+n1yZAUKLVjEqlwuDBg7Flyxb+NofDgS1btmDkyJECRkY4mZmZSEhIaPEa1dXVYffu3fQaeRnLsrj//vvx3XffYevWrcjMzGzx98GDB0OpVLZ4bXJzc1FQUECvjY85HA6YzWZ6TQR07bXX4siRI8jJyeF/hgwZglmzZvG/02sTGKjr8CLz58/HnDlzMGTIEAwbNgzLli3D/7d3dyFNvm8cwL/7TZe6+Ta1+RKzMDUxMqnUKMEwUqNAi7IU5swDo7IslRASU3o56OUkPJ4UaXlQKkUoYaaErjLMJLEMyV4GsnQwnRiu+3fw5/f8W/aO09LvBwbe930993XN5+Ti2e0cHx9Hbm7uXJe2YIyNjWFgYEAaDw4Ooru7G2q1GlqtFoWFhTh16hTCw8OxbNkylJWVITg4GOnp6XNX9AJw8OBB1NTUoKGhAZ6entI5Em9vb7i7u8Pb2xt5eXk4duwY1Go1vLy8UFBQgPXr1yMhIWGOq5+/SktLkZaWBq1WC6vVipqaGrS2tqKpqYn3ZA55enpK5xf/o1Qq4efnJ83z3iwQc/1nj3+iS5cuCa1WKxQKhYiLixOdnZ1zXdKCcu/ePQFg2isnJ0cI8b+veCgrKxMajUYsWrRIJCcni/7+/rktegH42j0BIAwGgxQzMTEhDhw4IHx9fYWHh4fIyMgQJpNp7opeAPbt2ydCQ0OFQqEQAQEBIjk5WTQ3N0vrvCd/js+/3kEI3puFQiaEEHPU4xERERHNazyjRUREROQkbLSIiIiInISNFhEREZGTsNEiIiIichI2WkREREROwkaLiIiIyEnYaBERERE5CRstIiIiIidho0VEX5WUlITCwsJZySWTyVBfX//L1/X39yMwMBBWq3Xmi/qM2WzG4sWL8fbtW6fmIaL5h40WEc2akydPYvXq1TO2X2lpKQoKCuDp6Tlje36Nv78/dDodysvLnZqHiOYfNlpE9FcaGhrCrVu3oNfrZyVfbm4url69ipGRkVnJR0TzAxstIsL4+Dh0Oh1UKhWCgoJw4cKFaTGTk5MoLi5GSEgIlEol4uPj0draKq1XV1fDx8cH9fX1CA8Ph5ubG1JSUvDmzRtpvaKiAk+fPoVMJoNMJkN1dbV0vdlsRkZGBjw8PBAeHo7Gxsbv1lxXV4eYmBiEhIRMq6GpqQlRUVFQqVRITU2FyWSSYvR6PdLT03HmzBloNBr4+PigsrISU1NTKCkpgVqtxpIlS2AwGBzyRUdHIzg4GDdv3vyVXy0RLXBstIgIJSUluH//PhoaGtDc3IzW1lY8efLEIebQoUPo6OjAtWvX0NPTg127diE1NRUvX76UYmw2G06fPo3Lly/jwYMHsFgs2LNnDwAgMzMTRUVFiI6OhslkgslkQmZmpnRtRUUFdu/ejZ6eHmzduhXZ2dnffXrU3t6OtWvXTpu32Ww4f/48rly5gra2NgwNDaG4uNghpqWlBe/fv0dbWxsuXryI8vJybNu2Db6+vjAajdi/fz/y8/OnncmKi4tDe3v7z/9iiYgEES1oVqtVKBQKUVdXJ819+PBBuLu7iyNHjgghhHj9+rWQy+Xi3bt3DtcmJyeL0tJSIYQQBoNBABCdnZ3Sel9fnwAgjEajEEKI8vJyERMTM60GAOLEiRPSeGxsTAAQd+7c+WbdMTExorKy0mHuvxoGBgakuaqqKqHRaKRxTk6OCA0NFXa7XZqLjIwUiYmJ0nhqakoolUpRW1vrsP/Ro0dFUlLSN2siIvqSy5x2eUQ05169eoWPHz8iPj5emlOr1YiMjJTGz549g91uR0REhMO1k5OT8PPzk8YuLi5Yt26dNF6xYgV8fHzQ19eHuLi479axatUq6WelUgkvLy8MDw9/M35iYgJubm7T5j08PBAWFiaNg4KCpu0THR2Nf/75/wN9jUaDlStXSmO5XA4/P79p17m7u8Nms333fRARfY6NFhH90NjYGORyObq6uiCXyx3WVCrVjORwdXV1GMtkMnz69Omb8f7+/hgdHf2pfYQQP4z5mfwjIyMICAj49psgIvoCz2gRLXBhYWFwdXWF0WiU5kZHR/HixQtpHBsbC7vdjuHhYSxfvtzhFRgYKMVNTU3h8ePH0ri/vx8WiwVRUVEAAIVCAbvdPiN1x8bG4vnz5zOy18/q7e1FbGzsrOYkor8bGy2iBU6lUiEvLw8lJSVoaWlBb28v9Hq9w0drERERyM7Ohk6nw40bNzA4OIiHDx/i7NmzuH37thTn6uqKgoICGI1GdHV1Qa/XIyEhQfrYcOnSpRgcHER3dzfMZjMmJyd/u+6UlBR0dHTMWOP2IzabDV1dXdiyZcus5COi+YGNFhHh3LlzSExMxPbt27F582Zs3LgRa9ascYgxGAzQ6XQoKipCZGQk0tPT8ejRI2i1WinGw8MDx48fR1ZWFjZs2ACVSoXr169L6zt37kRqaio2bdqEgIAA1NbW/nbNaWlpcHFxwd27d397j1/R0NAArVaLxMTEWclHRPODTHx5eIGI6DdUV1ejsLAQFotl1nJWVVWhsbERTU1NTs+VkJCAw4cPIysry+m5iGj+4GF4Ivpr5efnw2KxwGq1OvXf8JjNZuzYsQN79+51Wg4imp/4RIuIZsRcPNEiIvrTsdEiIiIichIehiciIiJyEjZaRERERE7CRouIiIjISdhoERERETkJGy0iIiIiJ2GjRUREROQkbLSIiIiInISNFhEREZGT/Au8pN0i4nW7gQAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "field_int = nx.FieldIntensity(sample = cavity,\n", " energy = nx.moessbauer.Fe57.energy,\n", " points = 1001)\n", "\n", "depth, int = field_int()\n", "\n", "plt.plot(depth, int)\n", "\n", "# add lines and labels\n", "axes = plt.gca()\n", "y_min, y_max = axes.get_ylim()\n", "plt.vlines(cavity.Interfaces(), y_min, y_max, colors='g', linestyles='dashed')\n", "for id, location in zip(cavity.Ids(), np.array(cavity.Interfaces()) + 0.5):\n", " plt.text(location, y_max, id, fontsize = 10)\n", " y_max = y_max - 0.5\n", "\n", "plt.xlabel('depth (nm)')\n", "plt.ylabel('relative intensity')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 4, "id": "39f6bce2", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "energy_spectrum = nx.EnergySpectrum(experiment = exp,\n", " detuning = detuning_reference,\n", " electronic = True,\n", " id = \"my energy spectrum\")\n", "\n", "intensity = energy_spectrum.Calculate()\n", "\n", "plt.plot(detuning_reference, intensity)\n", "plt.xlabel('detuning (Gamma)')\n", "plt.ylabel('rel. reflectivity')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 5, "id": "6fb5a364", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Run Optimizer instance with id: opt id \n", "\n", "Starting optimizer with 2 provided measurement dependencies and 4 fit parameter(s):\n", "\n", " no. | id | initial value | min | max\n", " 0 | Pt top thickness | 3.2 | 0 | 10\n", " 1 | B4C top | 4 | 0 | 10\n", " 2 | B4C mid | 4 | 0 | 10\n", " 3 | B4C top | 16 | 0 | 20\n", "\n", "Using 0 equality constraint(s) on parameter(s):\n", "\n", "Using 0 inequality constraint(s).\n", "\n", "Residual start value: 9.62685\n", "\n", "\n", "Calling ceres solver with fit method LevMar\n", "\n", "Ceres Solver Report: Iterations: 11, Initial cost: 4.633809e+01, Final cost: 1.081229e+01, Termination: CONVERGENCE\n", "\n", "Optimizer finished with 4 fit parameter(s):\n", "\n", " no. | id | fit value | initial value | min | max\n", " 0 | Pt top thickness | 4.17681 | 3.2 | 0 | 10\n", " 1 | B4C top | 4.37106 | 4 | 0 | 10\n", " 2 | B4C mid | 4.22748 | 4 | 0 | 10\n", " 3 | B4C top | 16.5182 | 16 | 0 | 20\n", "\n", "and 0 equality constraint(s) on parameter(s):\n", "\n", "and 0 inequality constraint(s).\n", "\n", "Optimized residual from 9.62685 to 4.65075\n", "\n", "Optimizer instance finished. id:opt id\n", "\n", "\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# setup the optimizer\n", "class NexusOptimizer(nx.Optimizer):\n", " def __init__(self, measurements, id):\n", " super().__init__(measurements, id)\n", "\n", " # the defienition of the residual calculation\n", " def Residual(self):\n", " # calculate the reflectivity to find the third minimum\n", " ref = reflectivity()\n", " # get the index of the third minimum\n", " # in case threre is no third minimum due to the combination of thicknesses\n", " if (len(argrelextrema(ref, np.less)[0]) < 3):\n", " return 1e30\n", " min_index = np.squeeze(argrelextrema(ref, np.less))[2]\n", " # set cavity angle to third minimum\n", " cavity.angle = angles[min_index]\n", " # calculate energy_spectrum\n", " intensity = energy_spectrum()\n", " # calculate residual\n", " differences = intensity - intensity_reference\n", " residual = np.sum(np.square(differences))\n", " return residual\n", "\n", "# pass the reflectivity object to the optimizer\n", "opt = NexusOptimizer(measurements = [reflectivity, energy_spectrum],\n", " id = \"opt id\")\n", "\n", "# let's just use a local gradient-free algorithm here\n", "opt.options.method = \"LevMar\"\n", "\n", "# run the optimization\n", "opt()\n", "\n", "plt.plot(detuning_reference, intensity_reference)\n", "plt.plot(detuning_reference, energy_spectrum.result)\n", "plt.xlabel('detuning (Gamma)')\n", "plt.ylabel('rel. reflectivity')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 6, "id": "b7e3d004", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Run Optimizer instance with id: opt id \n", "\n", "Starting optimizer with 2 provided measurement dependencies and 4 fit parameter(s):\n", "\n", " no. | id | initial value | min | max\n", " 0 | Pt top thickness | 3.2 | 0 | 10\n", " 1 | B4C top | 4 | 0 | 10\n", " 2 | B4C mid | 4 | 0 | 10\n", " 3 | B4C top | 16 | 0 | 20\n", "\n", "Using 0 equality constraint(s) on parameter(s):\n", "\n", "Using 0 inequality constraint(s).\n", "\n", "Residual start value: 9.62685\n", "\n", "\n", "Calling NLopt solver with fit method Subplex\n", "\n", "Termination: parameter tolerance reached.\n", "\n", " cost = 1.972817e-03\n", " iterations: 575\n", "\n", "Optimizer finished with 4 fit parameter(s):\n", "\n", " no. | id | fit value | initial value | min | max\n", " 0 | Pt top thickness | 3.60511 | 3.2 | 0 | 10\n", " 1 | B4C top | 7.86071 | 4 | 0 | 10\n", " 2 | B4C mid | 5.01397 | 4 | 0 | 10\n", " 3 | B4C top | 14.1397 | 16 | 0 | 20\n", "\n", "and 0 equality constraint(s) on parameter(s):\n", "\n", "and 0 inequality constraint(s).\n", "\n", "Optimized residual from 9.62685 to 0.0628143\n", "\n", "Optimizer instance finished. id:opt id\n", "\n", "\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "opt.options.method = \"Subplex\"\n", "\n", "opt.SetInitialVars()\n", "\n", "# run the optimization\n", "opt()\n", "\n", "plt.plot(detuning_reference, intensity_reference)\n", "plt.plot(detuning_reference, energy_spectrum.result)\n", "plt.xlabel('detuning (Gamma)')\n", "plt.ylabel('rel. reflectivity')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 7, "id": "83fbdc84", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Run Optimizer instance with id: opt id \n", "\n", "Starting optimizer with 2 provided measurement dependencies and 4 fit parameter(s):\n", "\n", " no. | id | initial value | min | max\n", " 0 | Pt top thickness | 3.2 | 0 | 10\n", " 1 | B4C top | 4 | 0 | 10\n", " 2 | B4C mid | 4 | 0 | 10\n", " 3 | B4C top | 16 | 0 | 20\n", "\n", "Using 0 equality constraint(s) on parameter(s):\n", "\n", "Using 0 inequality constraint(s).\n", "\n", "Residual start value: 9.62685\n", "\n", "\n", "Calling Pagmo solver with fit method PagmoDiffEvol\n", "\n", " population: 50\n", " iterations: 100\n", "\n", " cost = 3.033064e-06\n", "\n", "Calling ceres solver with fit method LevMar\n", "\n", "Ceres Solver Report: Iterations: 3, Initial cost: 3.033064e-06, Final cost: 3.497019e-07, Termination: CONVERGENCE\n", "\n", "Optimizer finished with 4 fit parameter(s):\n", "\n", " no. | id | fit value | initial value | min | max\n", " 0 | Pt top thickness | 3.24433 | 3.2 | 0 | 10\n", " 1 | B4C top | 8.55655 | 4 | 0 | 10\n", " 2 | B4C mid | 5.62098 | 4 | 0 | 10\n", " 3 | B4C top | 14.9901 | 16 | 0 | 20\n", "\n", "and 0 equality constraint(s) on parameter(s):\n", "\n", "and 0 inequality constraint(s).\n", "\n", "Optimized residual from 9.62685 to 0.000836304\n", "\n", "Optimizer instance finished. id:opt id\n", "\n", "\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "opt.options.method = \"PagmoDiffEvol\"\n", "\n", "opt.SetInitialVars()\n", "\n", "# run the optimization\n", "opt()\n", "\n", "plt.plot(detuning_reference, intensity_reference)\n", "plt.plot(detuning_reference, energy_spectrum.result)\n", "plt.xlabel('detuning (Gamma)')\n", "plt.ylabel('rel. reflectivity')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 8, "id": "3515f6b1", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# calcualte field intensity inside the sample\n", "field_int = nx.FieldIntensity(sample = cavity,\n", " energy = nx.moessbauer.Fe57.energy,\n", " points = 1001)\n", "\n", "depth, int = field_int()\n", "\n", "plt.plot(depth, int)\n", "\n", "# add lines and labels\n", "axes = plt.gca()\n", "y_min, y_max = axes.get_ylim()\n", "plt.vlines(cavity.Interfaces(), y_min, y_max, colors='g', linestyles='dashed')\n", "for id, location in zip(cavity.Ids(), np.array(cavity.Interfaces()) + 0.5):\n", " plt.text(location, y_max, id, fontsize = 10)\n", " y_max = y_max - 0.5\n", "\n", "plt.xlabel('depth (nm)')\n", "plt.ylabel('relative intensity')\n", "plt.show()" ] } ], "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": "3.11.9" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": {}, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 5 }