{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# EIS fiting\n", "\n", "In this example we show how to fit parameters using EIS data. This objective uses package `pybammeis` to simulate the model response in the frequency domain." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2024-03-28T15:33:37.855456Z", "start_time": "2024-03-28T15:33:36.476409Z" } }, "outputs": [], "source": [ "import pybammeis\n", "import pybamm\n", "import pandas as pd\n", "import ionworkspipeline as iwp\n", "import numpy as np" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Generate data\n", "\n", "We begin by generating synthetic EIS data for a Gr//SiOx half-cell. We will specify the reference exchange-current density and double-layer capacitance, and then simulate the impedance response for a range of frequencies." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Load model (DFN with capacitance)\n", "model = pybamm.lithium_ion.DFN(\n", " options={\"working electrode\": \"positive\", \"surface form\": \"differential\"}\n", ")\n", "\n", "# Load parameters\n", "parameter_values = pybamm.ParameterValues(\"OKane2022_graphite_SiOx_halfcell\")\n", "\n", "\n", "def j0(c_e, c_s_surf, c_s_max, T):\n", " j0_ref = pybamm.Parameter(\n", " \"Positive electrode reference exchange-current density [A.m-2]\"\n", " )\n", " c_e_init = pybamm.Parameter(\"Initial concentration in electrolyte [mol.m-3]\")\n", "\n", " return (\n", " j0_ref\n", " * (c_e / c_e_init) ** 0.5\n", " * (c_s_surf / c_s_max) ** 0.5\n", " * (1 - c_s_surf / c_s_max) ** 0.5\n", " )\n", "\n", "\n", "parameter_values.update(\n", " {\n", " \"Positive electrode reference exchange-current density [A.m-2]\": 2,\n", " \"Positive electrode exchange-current density [A.m-2]\": j0,\n", " \"Positive electrode double-layer capacity [F.m-2]\": 0.3,\n", " },\n", " check_already_exists=False,\n", ")\n", "\n", "# Create simulation\n", "eis_sim = pybammeis.EISSimulation(model, parameter_values=parameter_values)\n", "\n", "# Choose frequencies and calculate impedance\n", "frequencies = np.logspace(-4, 4, 30)\n", "sol = eis_sim.solve(frequencies)\n", "\n", "# Store data as arrays of real and complex impedance\n", "Z_Re = sol.real\n", "Z_Im = sol.imag\n", "data = pd.DataFrame(\n", " {\"Frequency [Hz]\": frequencies, \"Z_Re [Ohm]\": Z_Re, \"Z_Im [Ohm]\": Z_Im}\n", ")\n", "\n", "# Generate a Nyquist plot\n", "eis_sim.nyquist_plot()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Fit parameters\n", "\n", "We first set up the `EIS` objective. We pass in the data, model and frequency range." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2024-03-28T15:33:37.859437Z", "start_time": "2024-03-28T15:33:37.856418Z" } }, "outputs": [], "source": [ "objective = iwp.objectives.EIS(data, options={\"model\": model})" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We can then specify which parameters need to be fitted (with initial guesses and bounds), which parameters are known, and pass this to the standard `DataFit` class to fit the unknown parameters" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2024-03-28T15:33:40.591750Z", "start_time": "2024-03-28T15:33:37.860591Z" } }, "outputs": [], "source": [ "parameters = {\n", " \"Positive electrode reference exchange-current density [A.m-2]\": iwp.Parameter(\n", " \"j0_p_ref\", initial_value=1, bounds=(0.1, 10)\n", " ),\n", " \"Positive electrode double-layer capacity [F.m-2]\": iwp.Parameter(\n", " \"C_dl_p\", initial_value=0.1, bounds=(0.01, 1)\n", " ),\n", "}\n", "known_parameters = {k: v for k, v in parameter_values.items() if k not in parameters}\n", "\n", "data_fit = iwp.DataFit(objective, parameters=parameters)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we run the fit and take a look at the results." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Positive electrode reference exchange-current density [A.m-2]: 2.000000204383199 (fit) 2 (true)\n", "Positive electrode double-layer capacity [F.m-2]: 0.30000009209867096 (fit) 0.3 (true)\n" ] } ], "source": [ "fitted_parameters = data_fit.run(known_parameters)\n", "for name, p_fit in fitted_parameters.items():\n", " print(f\"{name}: {p_fit} (fit) {parameter_values[name]} (true)\")" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We can also plot the results" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'EIS': [(
,\n", " )]}" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data_fit.plot_fit_results()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "and the trace of the cost and the parameter values to see how the fit progressed" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(
,\n", " array([,\n", " ,\n", " ], dtype=object))" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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o0SIpLCxMsrOzk1xcXKSpU6dKb731ltTc3Kxv19LSIq1Zs0YKDw+XbG1tpZCQECkxMdGgzeHDh6V7771XCg0NlRQKheTr6yvdcsst0qFDhwyuuX//fik2Nlays7OTAEirV682GV9zc7P01FNPSQEBAZKDg4M0depUKTU1VZo+fbo0ffp0fbuff/5ZAiBt27bN4Pjc3FwJgPTBBx8YbF+/fr0UHh4uKRQKafz48dLevXvbndMUAFJ8fLz0ySefSFFRUZJCoZDGjh0r/fzzzwbtqqurpYULF0re3t6Ss7OzNGvWLCkrK0saNGiQtGDBAn27Dz74QAIgpaWltbvWlZ5j9erVEgCpvLzcYPuCBQskJyendtd79913pdjYWMnBwUFycXGRRo8eLT377LPS+fPn9W1KSkqkm2++WXJxcZEAGPRZXV2dlJiYKEVGRkp2dnaSt7e3NGXKFOn111+X1Gq1JEkXvievvfba5bpaLysrS7rmmmskBwcHCYD+uZt6fpIkSYWFhdLtt98uubu7S25ubtJdd90lnT9/3uhr7ty5c9L8+fMlHx8fSaFQSIMHD5bi4+MllUrVpedGRERE1kWQJAtUGiUiIiLqQYIgID4+Hm+//balQyEiIiKiDrDGFBERERERERERWQQTU0REREREREREZBFMTBERERERERERkUVwVT4iIiLqd1hCk4iIiKhv4IgpIiIiIiIiIiKyCCamiIiIiIiIiIjIIpiYIiIiIiIiIiIii2BiioiIiIiIiIiILIKJKSIiIiIiIiIisggmpoiIiIiIiIiIyCKYmCIiIiIiIiIiIotgYoqIiIiIiIiIiCyCiSkiIiIiIiIiIrIIJqaIiIiIiIiIiMgimJgiIiIiIiIiIiKLYGKKiIiIiIiIiIgsgokpIiIiIiIiIiKyCCamiIiIiIiIiIjIIpiYIiIiIiIiIiIii2BiioiIiIiIiIiILIKJKSIiIiIiIiIisggmpoiIiIiIiIiIyCKYmCIiIiIiIiIiIouwsXQA1k6r1eL8+fNwcXGBIAiWDoeIyKIkSUJdXR0CAwMhkw3czzZ4byAiuoD3Bh3eG4iILujKvYGJqcs4f/48QkJCLB0GEZFVKSgoQHBwsKXDsBjeG4iI2uO9gfcGIqJLdebewMSUCcnJyUhOToZGowGg60xXV9cunUMURZw5cwYRERGQy+U9EWafxH4xjv1iHPvFNEv0jVKpREhICFxcXHrletaq7fnz3mA+7Bfj2C+msW+M473BcnhvMD/2i2nsG+PYL8ZZ+72BiSkT4uPjER8fD6VSCTc3N7i6unbrBuPs7AxXV1f+UFyE/WIc+8U49otpluybgT5Foe35895gPuwX49gvprFvjOO9wXJ4bzA/9otp7Bvj2C/GWfu9YeBOAiciIiIiIiIiIotiYsqE5ORkjBgxAhMmTLB0KERERERERERE/RITUybEx8cjMzMTaWlplg6FiIiIiIiIiKhfYmKKiIiIiIiIiIgsgokpEziVj4iIiIiIiIioZzExZQKn8hERERERERER9SwmpoiIiIiIiIiIyCKYmCIioj5t7969mDNnDgIDAyEIArZv337ZY/bs2YNx48ZBoVAgMjISmzdv7vE4iYjIci53r5AkCatWrUJAQAAcHBwQFxeH7OxsywRLRDTA2Fg6AGuVnJyM5ORkiKJo6VCIiKgDDQ0NiI6OxkMPPYQ77rjjsu1zc3Nx8803Y8mSJfj000+RkpKChx9+GAEBAZg1a1aXrq1Wq6FWq9ttl8lksLGxMWjXRhRF/XFyuRyCIMDW1tZo20td2ralpQWSJPVqWwCws7PrVluNRgOtVmu03aX3247aAoCtrS0EQejRtqIodvh3QFfa2tjYQCaTdavtxa8Xc51Xq9VCo9GYbCuXy/XXs4a2kiShpaXFYP/FfWNnZ9dh24td/PPZU22Bjn+Wu9K2q78j2r7HQO/9jugoJmtxuXvFP/7xD/zrX//Chx9+iPDwcKxcuRKzZs1CZmYm7O3tu3Qt3ht4b+jNe4Ox+wPvDbw3XNrW2u8NTEyZEB8fj/j4eCiVSri5ufXadcvrVPjn7tO4f1IoRgb23nWJiPqq2bNnY/bs2Z1uv2HDBoSHh+ONN94AAAwfPhz79u3DP//5T5OJKZVKBZVKpX+sVCoBAK+99hoUCkW79lFRUbjvvvv0j//+97/r/2iRJAlVVVXw9PSEIAgICwvDggUL9G3XrVuHxsZGo3EEBgZi0aJF+sdvvfUWampqjLb18fHBY489ZvC8y8vLjbZ1d3fH8uXL9Y/ff/99nD9/3mhbR0dHPPPMM/rHH3/8MfLy8oy2tbW1xXPPPad//Pnnn5scgSBJEu699179H89ffPEFMjMzjbYFgMTERP0bm2+++QYZGRkm2z799NNwcnICAOzcuROHDh0y2Xb58uVwd3cHAPzwww9ITU012fbRRx+Fr68vAN0ovF9++cVk24cffhhBQUEAgN9++w27d+822XbBggUICwsDAKSlpeGzzz7Tv14ude+992LIkCEAgIyMDHz99dcmz3vnnXdi5MiRAIA//vgDX3zxhcm2t912G2JiYgAAp0+fxueff26y7ezZszFx4kQAQF5eHj788EOTbePi4jB16lQAQFFREd577z2TbadPn44ZM2YAAMrKyvDOO+8Y7L/4Z2nKlCm44YYbAAA1NTV48803TZ53/PjxuPnmmwHokhWvv/66ybYxMTG47bbbAOj+wF67dq3JtiNGjMBdd92lf/zyyy+bbNvR74hLdfV3xEMPPQStVgtRFPH222/3yu+Ii38/WquO7hWSJCEpKQkvvPCC/vv90Ucfwc/PD9u3b8c999xj9DjeGy7gveGC3rg3HDx4EDt37jR4zVyM9wbeGy7WF+4NTExZma+OFOKz3/PRrBaxbl6MpcMhIup3UlNTERcXZ7Bt1qxZeOKJJ0wes3btWqxZs6bd9urqaoNPfduUlJQY/JFdWVmp//RPkiQ0NTWhqqoKgiDAwcHBoG1FRQWam5uNxmFjY2PQtry8HHV1dUbbSpJk0LasrAzV1dVG27a0tLRrW1VVZbRtY2OjQdvS0lKTbS+Nt6SkxGTbtj8kc3JyIJPJUFxcbLItAGRnZ+v7/vz58x22zcnJgaOjY6fanjlzBq6urp1qe/bsWdTW1gLQ/SHdUdvc3Fz9H4yFhYUdts3Ly9P/IVpQUGDwejHWtm17fn5+h+c9d+6cvs/OnTvXYdv8/Hz9G7a8vLwO2xYUFMDDwwPA5fuhsLBQ/5ro6LXTdq62tpWVle3aXvyzdP78eX1bpVLZ4XkvbtvY2Njptmq1usO2xcXFBq/3jtp29DviUl39HZGTk6P/Weqt3xF9YcRUR3Jzc1FSUmJwb3Bzc8OkSZOQmppqMjHFe8MFvDdc0Fv3hqqqKpP3B94beG+4WF+4NwhSR2MsST9iqra2Vv/LqLNEUUR2djaioqKMDr83Zs3//sAHv+Vh5lAffLBwYndCtnrd6ZeBgP1iHPvFNEv0zZX8TuwNgiDgq6++wty5c022GTJkCBYuXIjExET9tp07d+Lmm29GY2MjHBwc2h1j7FPxkJAQlJSUGO2Hy03XyMnJQWRkJKdrXEQUReTn5+v7hdM1dG3VajVOnTql7xdzndcapmCYY7pG288Sp2tcaCuTyfT9otVqe+V3hFKphL+/v9XeGy516b1i//79mDp1Ks6fP4+AgAB9u7vvvhuCIGDr1q1Gz8N7gyHeG7re9kqn8l38mjHHea3h9z3vDQPz3sARU1amvE53c1M2m/5hJCKi3qVQKIxOy3BwcDCayDLWro0oirC3t4eDg4PRRENnztemKwlJa28riiJkMpn+D05rj7e32trZ2XX4ermSGC7+Y9La2wIw+GMd6Phn6dK2XTmvudp25WfZnG0v/lkyNmrHlCt5DXf0pqw/472h59vy3mC6rVwu79T9gfcG0227cl5zteW9wTiuymdlyloTU3XNA/MGT0TU0/z9/VFaWmqwrbS0FK6url36A4CIiPoHf39/ADB6b2jbR0REPYeJKROSk5MxYsQITJgwoVevW65PTHHEFBFRT5g8eTJSUlIMtv3444+YPHmyhSIiIiJLCg8Ph7+/v8G9QalU4vfff+e9gYioFzAxZUJ8fDwyMzORlpbWq9dlYoqIqGvq6+uRkZGhX3knNzcXGRkZyM/PB6BboWf+/Pn69kuWLMHZs2fx7LPPIisrC+vXr8d//vMfPPnkk5YIn4iIekFH9wpBEPDEE0/g5ZdfxjfffIPjx49j/vz5CAwM7LBmIRERmQdrTFmRRrUG9SpdQqpepYGolSCXtV+Bh4iILjh06BBmzpypf5yQkABAt6zy5s2bUVxcrE9SAbpPxnfs2IEnn3wSb775JoKDg/Hee+9h1qxZvR47ERH1jsvdK5599lk0NDTgkUceQU1NDa6++mrs2rUL9vb2lgqZiGjAYGLKipQpVQaP65s1cHPsfOE3IqKBaMaMGR2u/LN582ajxxw5cqQHoyIiImtyuXuFIAh48cUX8eKLL/ZiVEREBAyQqXy33347PDw8cOedd1o6lA6V1xsmppQsgE5ERERERERE/diASEwtX74cH330kaXDuKxLR0yxzhQRERERERER9WcDIjE1Y8YMuLi4WDqMyyqvazZ4XMcRU0RERERERETUj1l9Ymrv3r2YM2cOAgMDIQgCtm/f3q5NcnIywsLCYG9vj0mTJuHgwYO9H6gZlNVxxBQRERERERERDRxWn5hqaGhAdHQ0kpOTje7funUrEhISsHr1ahw+fBjR0dGYNWsWysrKejnSK3dpYoo1poiIiIiIiIioP7P6Vflmz56N2bNnm9y/bt06LFq0CAsXLgQAbNiwATt27MCmTZuwYsWKLl9PpVJBpbqQIFIqlQAAURQhimKXziWKIrRabaePK1MaTuWrbVR3+Zp9QVf7ZaBgvxjHfjHNEn3D7wMREREREZmT1SemOqJWq5Geno7ExET9NplMhri4OKSmpnbrnGvXrsWaNWvabT9z5gycnZ27dC6tVouqqirk5ORAJrv84LTCCl0SzNtRjopGEXlFpcjOVnfpmn1BV/tloGC/GMd+Mc0SfVNfX98r1yEiIiIiooGhTyemKioqIIoi/Pz8DLb7+fkhKytL/zguLg5Hjx5FQ0MDgoODsW3bNkyePNnoORMTE5GQkICNGzdi48aNEEUROTk5iIiIgKura5fiazs2MjIScrn8su1r1QUAgCEB7qg4Uwk7ZzdERUV16Zp9QVf7ZaBgvxjHfjHNEn3TNoqUiIiIiIjIHPp0Yqqzdu/e3em2CoUCCoUCTz31FJ566ikolUq4ublBLpd3642fTCbr1LEaUYuqRt3oqEhfZ+w/U4l6labfvhHvbL8MNOwX49gvpvV23/B7QERERERE5tSn58V4e3tDLpejtLTUYHtpaSn8/f2v6NzJyckYMWIEJkyYcEXn6azKBjUkCZDLBAzycgIAKLkqHxERERERERH1Y306MWVnZ4fY2FikpKTot2m1WqSkpJicqtdZ8fHxyMzMRFpa2pWG2SllSl3BdS8nO7g52AIA6piYIiIiIiIiIqJ+zOqn8tXX1yMnJ0f/ODc3FxkZGfD09ERoaCgSEhKwYMECjB8/HhMnTkRSUhIaGhr0q/R1V3JyMpKTk3ttBaryet2KfL6uCrjY674tdc0tvXJtIiIiIiIiIiJLsPrE1KFDhzBz5kz944SEBADAggULsHnzZsybNw/l5eVYtWoVSkpKEBMTg127drUriN5V8fHxiI+P19eY6mltI6Z8XewvSkxxxBQRERERERER9V9Wn5iaMWMGJEnqsM3SpUuxdOlSs163t0dMldXpElM+zgq42uum8imbOGKKiIiIiIiIiPqvPl1jqif1do2p8tbElK/rhcQUR0wRERERERERUX/GxJQJvb0qX1lda40plws1pppaRLSI2l65PhERERERERFRb2NiyoReX5WvbSqfiwLO9hdmWNZz1BQRERERERER9VNMTFmJcn1iyh62chkc7eQAOJ2PiIiIiIiIiPovJqasgCRJ+hFTvi4KANBP51M2swA6EREREREREfVPTEyZ0Js1ppTNGqg1ulpSPvrEVOvKfExMEREREREREVE/xcSUCb1ZY6q8tfC5q70N7G11U/jaRkxxKh8RERERERER9VdMTFmBMuWFwudt2kZMMTFFRERERERERP0VE1NWoLy+rb6UvX6ba1uNqSZO5SMiIiIiIiKi/omJKRN6s8ZU24gpX1eOmCIiIiIiIiKigYOJKRN6s8ZUWWuNKR/nC4kpV32NKY6YIiIiIiIiIqL+iYkpK1BeZ2zEFIufExEREREREVH/xsSUFSir66D4uYojpoiIiIiIiIiof2Jiygq0JaYMip87tBU/54gpIiIiIiIiIuqfmJiyAmVKXY0p34tHTCnaip9zxBQRERERERER9U9MTJnQW6vyldepoGzWQBCAYA9H/XbWmCIiIiIiIiKi/o6JKRN6a1W+rBIlACDcywkOdnL99rYaU0ompoiIiIiIiIion2JiysKyiusAAMMCXAy2t9WY4lQ+IiIiIiIiIuqvmJiysJOtI6aG+bsabG8bMaXSaKHSiL0eFxERERERERFRTxsQialvv/0WQ4cORVRUFN577z1Lh2NAP2LK33DElLPCRv8160wRERERERERUX9kc/kmfZtGo0FCQgJ+/vlnuLm5ITY2Frfffju8vLx69LqNag2g1XbYpkXUIqesHgAwPMBwxJRcJsBZYYN6lQZ1zRp4OyuMnYKIiIiIiIiIqM/q94mpgwcPYuTIkQgKCgIAzJ49Gz/88APuvffeHr3u1rQCvPRtJvydbTEiqA5R/i64JsoHkyMuJMRyKxqgFrVwVtggyN2h3Tlc7NsSU6wzRURERERERET9j9VP5du7dy/mzJmDwMBACIKA7du3t2uTnJyMsLAw2NvbY9KkSTh48KB+3/nz5/VJKQAICgpCUVFRj8d9rrIRWgk4X9eC3VlleGfPGTzw/u8oqW3WtzlZrKsvNdTfBTKZ0O4crm0r8zVxKh8RERERERER9T9WP2KqoaEB0dHReOihh3DHHXe0279161YkJCRgw4YNmDRpEpKSkjBr1iycOnUKvr6+Xb6eSqWCSqXSP1YqdckjURQhip0vQv7CTUOxaGoofsk4jSY7N3yYWoD8qkbszizBvRNDAAAnz9cCAIb6ORs9t7O9HABQ26jq0rWtnSiK0Gq1/eo5mQP7xTj2i2mW6Bt+H4iIiIiIyJysPjE1e/ZszJ492+T+devWYdGiRVi4cCEAYMOGDdixYwc2bdqEFStWIDAw0GCEVFFRESZOnGjyfGvXrsWaNWvabT9z5gycnZ27FLtWq0Woogmeng7IH2SPD6sa8b/DuRjvoRs1lX62FADgKWtCdnZ2u+NlohoAkJNfhGxFXZeubc20Wi2qqqqQk5MDmczqB+31GvaLcewX0yzRN/X19b1yHSIiIiIiGhisPjHVEbVajfT0dCQmJuq3yWQyxMXFITU1FQAwceJEnDhxAkVFRXBzc8N3332HlStXmjxnYmIiEhIS9I+VSiVCQkIQEREBV1dXk8cZI4oicnJyEBkZibtcG/Dhkf04WtKMkLDBsLeVo+ArXcJs2pgIRA3yaHe8/+FGoLARjm5eiIoK69K1rdnF/SKXyy0djtVgvxjHfjHNEn3TNoqUiIiIiIjIHPp0YqqiogKiKMLPz89gu5+fH7KysgAANjY2eOONNzBz5kxotVo8++yzHa7Ip1AooFAokJycjOTkZP20Fblc3q03fjKZDHK5HCOD3BHoZo/ztc04mFeDsaHu+npTwwPdjJ7bzVFXY6peJfa7N+Rt/dLfnteVYr8Yx34xrbf7ht8DIiIiIiIypz6dmOqsW2+9FbfeemuXjomPj0d8fDyUSiXc3NyuOAZBEHDtcF98ciAfKVmlcLDTvbkL9nDQFzm/lEtb8XOuykdERERERERE/VCfLtji7e0NuVyO0tJSg+2lpaXw9/e/onMnJydjxIgRmDBhwhWd52LXDdON7PrpZJl+Rb5h/qanB7rY6/KGdc1clY+IiIiIiIiI+p8+nZiys7NDbGwsUlJS9Nu0Wi1SUlIwefLkKzp3fHw8MjMzkZaWdqVh6k2O8IK9rQzna5ux/YiuvtTwABeT7dtGTNVxxBQRUYeSk5MRFhYGe3t7TJo0CQcPHuywfVJSEoYOHQoHBweEhITgySefRHNzcy9FS0RE1kgURaxcuRLh4eFwcHBAREQEXnrpJUiSZOnQiIj6NaufyldfX4+cnBz949zcXGRkZMDT0xOhoaFISEjAggULMH78eEycOBFJSUloaGjQr9LXXZfWmDIHe1s5ro70xu6TZThaWAug4xFTrhwxRUR0WVu3bkVCQgI2bNiASZMmISkpCbNmzcKpU6fg6+vbrv1nn32GFStWYNOmTZgyZQpOnz6NBx98EIIgYN26dRZ4BkREZA3+/ve/45133sGHH36IkSNH4tChQ1i4cCHc3NywbNkyS4dHRNRvWX1i6tChQ5g5c6b+cduKeQsWLMDmzZsxb948lJeXY9WqVSgpKUFMTAx27drVriB6V5m7xlSb64b7YffJMv3jYR2MmHJljSkiostat24dFi1apP9AYsOGDdixYwc2bdqEFStWtGu/f/9+TJ06Fffddx8AICwsDPfeey9+//13k9dQqVRQqVT6x22rE4qi2OUPMERRhFarNesHH/0B+8U49otp7BvjLNEv/eV7sH//ftx22224+eabAejuD59//rnJUbi8N/Q89otp7Bvj2C/GWfu9weoTUzNmzLjs8NmlS5di6dKlZr1uT4yYAoCZQy98eq+wkSHMy8lk20trTKWfq8LK7X/grvHBWDg13KxxERH1RWq1Gunp6UhMTNRvk8lkiIuLQ2pqqtFjpkyZgk8++QQHDx7ExIkTcfbsWezcuRMPPPCAyeusXbsWa9asabf9zJkzcHZ27lLMWq0WVVVVyMnJgUzWp2fUmxX7xTj2i2nsG+Ms0S/19fW9cp2eNmXKFLz77rs4ffo0hgwZgqNHj2Lfvn0mR9Py3tDz2C+msW+MY78YZ+33BqtPTFlKT42Y8nezx6ggV5woUmKovwvkMsFk2ws1pjQorm3C4o/TUVGvxpr/ZcJWLsP/XTXIbHEREfVFFRUVEEWx3ShZPz8/ZGVlGT3mvvvuQ0VFBa6++mpIkgSNRoMlS5bgueeeM3mdxMRE/YhdQPepeEhICCIiIuDqanpKtjGiKCInJweRkZGQy+VdOrY/Y78Yx34xjX1jnCX6pW2kUF+3YsUKKJVKDBs2DHK5HKIo4pVXXsH9999vtD3vDT2P/WIa+8Y49otx1n5vYGLKhJ4aMQUAs0b440SREjEh7h22axsxpWxqwZJPDqOiXg03B1vUNrVg5dcn4O5oi1vGBJo9PiKi/mzPnj149dVXsX79ekyaNAk5OTlYvnw5XnrpJaxcudLoMQqFAgqFot12uVzerZu7TCbr9rH9GfvFOPaLaewb43q7X/pL///nP//Bp59+is8++wwjR45ERkYGnnjiCQQGBmLBggXt2vPe0DvYL6axb4xjvxhnzfcGJqZM6KkRUwCweHoEAtwdEDe8fVHei7UlpjRaCUcLauDuaIv/Lb0aG345g09/z8eTWzPgYm+L6UN8zBofEVFf4e3tDblcjtLSUoPtpaWl8Pf3N3rMypUr8cADD+Dhhx8GAIwePRoNDQ145JFH8Pzzz3PYNxHRAPXMM89gxYoVuOeeewDo7g/nzp3D2rVrjSamiIjIPPjXtwXY2chwZ2ww3B3tOmznZGeDtpl+MgF4+95xCPF0xIu3jcItYwLQIkpY8nE68isbeyFqIiLrY2dnh9jYWKSkpOi3abVapKSkYPLkyUaPaWxsbJd8avtEh0uCExENXKbuD1qt1kIRERENDExMmZCcnIwRI0ZgwoQJFotBJhPg46IbHrxi9jBcHeUNAJDLBKy7OwYTwzzR1CJi7XcnLRYjEZGlJSQkYOPGjfjwww9x8uRJPProo2hoaNCv0jd//nyD4uhz5szBO++8gy1btiA3Nxc//vgjVq5ciTlz5nDINxHRADZnzhy88sor2LFjB/Ly8vDVV19h3bp1uP322y0dGhFRv8apfCb05FS+rnjznrEoqGrEnbHBBtvtbGR4ce5I3PTmr/juRAl+P1uJSYO9LBQlEZHlzJs3D+Xl5Vi1ahVKSkoQExODXbt26Qui5+fnG3wC/sILL0AQBLzwwgsoKiqCj4+P/s0IERENXG+99RZWrlyJxx57DGVlZQgMDMTixYuxatUqS4dGRNSvMTFl5a4a7IWrTCSchvm74p6Jofjs93y8vOMkvo6fClkHq/yZIkkSBKHrxxERWYulS5di6dKlRvft2bPH4LGNjQ1Wr16N1atX90JkRETUV7i4uCApKQlJSUmWDoWIaEDhVL4+LuH6IXBR2OB4US3+e6Soy8cXVDVi0qspeCsluweiIyIiIiIiIiIyjYmpPs7bWYH4ayMBAK99n4VGtaZLx+8+WYqyOhW+PVbcE+EREREREREREZnExJQJ1lD8vLMWTg1DiKcDSpUqbPjlbJeOPVmsBAAUVDdyNSoiIiIiIiIi6lVMTJkQHx+PzMxMpKWlWTqUy1LYyJE4ezgAYOPesyhTNnf62JPFdQCARrWI6saWHomPiIiIiIiIiMgYJqb6idmj/DE21B1NLSL+ubtz9aI0ohanSuv0jwuqGnsqPCIiIiIiIiKidpiY6icEQdCPmvrPoQLklNVf9pjcigaoNVr948Lqph6Lj4iIiIiIiIjoUkxM9SMTwz0RN9wPolbCP3ZlXbZ9Zmt9qTaF1RwxRURERERERES9h4kpE/pS8fOL/eXGoZAJwA+ZpTiUV9Vh27b6Um0KmJgiIiIiIiIiol7ExJQJfan4+cWi/Fwwb0IIAODVnSc7XGkvq0Q3Ymp0kBsATuUjIiIiIiIiot7FxFQ/9ETcENjbynA4vwZHCmpMtjvZOpXvhhF+AFj8nIiIiIiIiIh6FxNT/ZCfqz1mDPEFAKSeqTTapqpBjVKlCgBw3XBdYqqwuqnDEVZERERERERERObExFQ/ddVgTwDAgbPGE1Nto6UGeTkiys8ZMgFQabQor1f1WoxERERERERENLANiMTU7bffDg8PD9x5552WDqXXTBrsBQBIP1eNFlHbbn9bYmq4vyts5TIEuDkAYJ0pIiIiIiIiIuo9AyIxtXz5cnz00UeWDqNXDfVzgbujLRrVIo4X1bbbn9mWmApwBQAEeegSU6wzRURERERERES9ZUAkpmbMmAEXFxdLh9GrZDIBE8N00/l+P1vVbv/J4joAwPAAXb8Ee3DEFBERERERERH1Losnpvbu3Ys5c+YgMDAQgiBg+/bt7dokJycjLCwM9vb2mDRpEg4ePNj7gfZBV7VO57u0zpRao0VOWVtiSjdiKsTDEQBQWM0RU0RERERERETUO2wsHUBDQwOio6Px0EMP4Y477mi3f+vWrUhISMCGDRswadIkJCUlYdasWTh16hR8fXUrz8XExECj0bQ79ocffkBgYGCX4lGpVFCpLhQAVyp1U95EUYQoil06lyiK0Gq1XT7OXCYMcgcAHMqrgkrdAhu5Lg+ZXVqHFlGCi70NAlztIIoiAt0VAHRT+dribVRr8OK3J3HdMF9cP8LPbHFZul+sFfvFOPaLaZboG34fiIiIiIjInCyemJo9ezZmz55tcv+6deuwaNEiLFy4EACwYcMG7NixA5s2bcKKFSsAABkZGWaLZ+3atVizZk277WfOnIGzs3OXzqXValFVVYWcnBzIZL0/OE0uSXC2k6FeLWLX739gqI89AODnM7rRUoPcbJCTkwMAEBp0U/jOliqRnZ0NAPhfVi22pVcg7Ww5wmyVZovL0v1irdgvxrFfTLNE39TX1/fKdYiIiIiIaGCweGKqI2q1Gunp6UhMTNRvk8lkiIuLQ2pqao9cMzExEQkJCfrHSqUSISEhiIiIgKura5fOJYoicnJyEBkZCblcbu5QO+WqwfXYnVWGIo0TbokaDADYlpMFABgb7ouoqCgAgKN3E7DrPMobNYiIiIRMJuDYb4cAABWNIiIjIyEIgllisoZ+sUbsF+PYL6ZZom/aRpESERERERGZg1UnpioqKiCKIvz8DKeR+fn5ISsrq9PniYuLw9GjR9HQ0IDg4GBs27YNkydPNtpWoVBAoVAgOTkZycnJ+mkrcrm8W2/8ZDJZt481h6sivLA7qwxpedV4bKYckiThaIFulb5RQW76uAI9HGEjE9AiSqhs1MBJIdfXpqpXiahXa+HuaGe2uCzdL9aK/WIc+8W03u4bfg+IiIiIiMicrDoxZS67d++2dAgW01YAPS2vGhpRi5d3nMShc9UQBGB866p9AGAjlyHA3R4FVU0oqG5EmVKFFlHS7y+sbuowMfXN0fP47+FCvHnPWLg52PbcEyIiIiIiIiKifsOqC7Z4e3tDLpejtLTUYHtpaSn8/f179Nrx8fHIzMxEWlpaj16npw0PcIWLvQ3qVRo88nE6Nu/PAwD87Y7RiPAxrJkV7H5hZb7dJw37vKimyeQ1WkQt1nzzB/acKsePmaUm2xERERERERERXcyqE1N2dnaIjY1FSkqKfptWq0VKSorJqXjmkpycjBEjRmDChAk9ep2eJpcJmNg6MuqnrDIAwNo7RmPehNB2bUM8HQAAuRWN+rYBbrqC6YXVphNTe0+Xo7JBDQAor1OZbEdEREREREREdDGLJ6bq6+uRkZGhX1kvNzcXGRkZyM/PBwAkJCRg48aN+PDDD3Hy5Ek8+uijaGho0K/S11P6y4gp4MJ0PgB45fZRuHdi+6QUAAR76EZMfZNRhNqmFng42uLm0QEAgKIOElP/PVyk/7qsrtkcIRMRERERERHRAGDxGlOHDh3CzJkz9Y/bVsRbsGABNm/ejHnz5qG8vByrVq1CSUkJYmJisGvXrnYF0c3t0uLnfdmfYoNxMK8Ks0f5445xwSbbtY2YyqtsBABcO8wPoV4XpvcZU9vYgh8vmvZXxhFTRERERERERNRJFk9MzZgxA5Ikddhm6dKlWLp0aS9FpBMfH4/4+HgolUq4ubn16rXNzdPJDhvnj79su7YRU22uH+ELOxvdoDpTNaa+PX4eao1W/5hT+YiIiIiIiIiosyw+lY+sR8hFiSk7uQzTonwQ1FoQ3VRiqm0a33XDfAEwMUVEREREREREncfElAn9pfh5V/i6KGArFwAAUyK94KSwQZCHbnpfTWML6lUag/Z5FQ1IP1cNmQAsumYwAKBMyRpTRERERERERNQ5TEyZ0J+Kn3eWTCbop/NdP0JXw8tZYQN3R1sA7Qug//eIbrTUtCgfjArSTXdsUItouCSBRURERERERERkDBNTZOCJuCjMjQnE3Jgg/bYgd92oqaKaCwXQtVoJ/z1cCAC4Y1wQnOzkcLCVA+B0PiIiIiIiIiLqHCamTBiIU/kA4LaYICTdMxZOigt18YNbp/MVXjRiKqOwBoXVTXBW2OCGEf4QBAG+rgoAXJmPiIiIiIiIiDqHiSkTBuJUPlP0BdAvSkz9frYKAHB1pDcc7HQjpXxddIkpjpgiIiIiIiIios5gYoouK8jIiKn0c7rE1PgwD/02H5e2EVMsgE5EREREREREl8fEFF2WfipfjS4xpdVKSD9XDQAYH+apb+frYg+AU/mIiIiIiIiIqHOYmDJhoNaYMkZf/Lx1xNTZinpUN7bA3laGkYGu+nY+nMpHRERERERERF3AxJQJrDF1QduIqYp6FZpbRBzK042Wig52h638wkvowlS+ziem1BotzpTXQ5IkM0ZMRERERERERH0BE1N0WW4OtnBuXaWvqKYJh1qn8U24aBofcKH4eZmyczWmimubMTf5N1z3xi/Yc7rcjBETERERERERUV/AxBRdliAIBtP5DuXpCp/HXlT4HLhQY6qi/vIjprIrVfjTO6nILFYCAA7mVpkzZCIiIiIiIiLqA5iYok5pW5nvaEEN8iobIQjAuFDDxFTbVL7KBjU0otbkuX7MLMXT3xWhtE4FOxvdSzC7tL6HIiciIiIiIiIia8XEFHVKW52pr4+eBwAM8XWBm4OtQRsvJzvIZQIkCaioVxs9T3ZpHeI/z4BKI+HqSC+8de9Y3fayuh6MnoiIiIiIiIisERNTJnBVPkNtU/lyynQjmy6dxgcAMpkAb2c7AKZX5vvkwDmIWgnjAh3w3vxY/air/KpGNLeIPRE6EREREREREVkpJqZM4Kp8hoI9HA0eTzCSmAIuXpmvfQH0RrUG/z1SBAC4c5RuRT9vZzt4ONpCki4kvYiIiIiIiIhoYGBiijqlrcZUm/GDPI22ayuAXmZkxNS3R4tR16xBqKcDYgJ05xMEAVG+LgCYmCIiIiIiIiIaaJiYok5pm8oHAL4uCn3NqUv5to6YMjaV79OD+QCAeyaEQCYI+u1Rfs4AWGeKiLovOTkZYWFhsLe3x6RJk3Dw4MEO29fU1CA+Ph4BAQFQKBQYMmQIdu7c2UvREhGRtSoqKsL//d//wcvLCw4ODhg9ejQOHTpk6bCIiPo1G0sHQH2Dt7MdFDYyqDRajA/zgHBRYulipqbynSiqxdGCGtjKBfxpXBCqi/P1+6J8dYmp01yZj4i6YevWrUhISMCGDRswadIkJCUlYdasWTh16hR8fX3btVer1bj++uvh6+uLL774AkFBQTh37hzc3d17P3giIrIa1dXVmDp1KmbOnInvvvsOPj4+yM7OhoeH8RIWRERkHv0+MVVQUIAHHngAZWVlsLGxwcqVK3HXXXdZOqw+RxAEBHk44Gx5A2JNTOMDLoyYKlMajpj6rHW01KyR/vB2VqD6on1RfpzKR0Tdt27dOixatAgLFy4EAGzYsAE7duzApk2bsGLFinbtN23ahKqqKuzfvx+2trrVRcPCwjq8hkqlgkp14feaUqkEAIiiCFHs2sINoihCq9V2+bj+jv1iHPvFNPaNcZbol/7yPfj73/+OkJAQfPDBB/pt4eHhJtvz3tDz2C+msW+MY78YZ+33hn6fmLKxsUFSUhJiYmJQUlKC2NhY3HTTTXBycrJ0aH3O3eND8GV6IW4eHWCyjU9rjany+gs36XqVBl+3Fj2/f9Kgdse0TeU7V9mA5hYR9rZyc4ZNRP2YWq1Geno6EhMT9dtkMhni4uKQmppq9JhvvvkGkydPRnx8PL7++mv4+Pjgvvvuw1/+8hfI5cZ//6xduxZr1qxpt/3MmTNwdnbuUsxarRZVVVXIycmBTMYZ9W3YL8axX0xj3xhniX6przffh4vjxo1DSkoKPDw88OKLL+Lpp5+Go6Pj5Q80g2+++QazZs3CXXfdhV9++QVBQUF47LHHsGjRIqPteW/oeewX09g3xrFfjLP2e0O/T0wFBAQgIECXSPH394e3tzeqqqqYmOqGJdMjsGR6RIdtfIyMmPom4zwa1CIG+zjhqsGe0Gq1hsc4K+DmYIvaphacLW/AiEBX8wdPRP1SRUUFRFGEn5+fwXY/Pz9kZWUZPebs2bP46aefcP/992Pnzp3IycnBY489hpaWFqxevdroMYmJiUhISNA/ViqVCAkJQUREBFxdu/Y7SxRF5OTkIDIy0mQibCBivxjHfjGNfWOcJfqlbaSQOZw8eRINDQ3w8PDAmjVrsGTJkl5LTJ09exbvvPMOEhIS8NxzzyEtLQ3Lli2DnZ0dFixY0K497w09j/1iGvvGOPaLcdZ+b7B4Ymrv3r147bXXkJ6ejuLiYnz11VeYO3euQZvk5GS89tprKCkpQXR0NN566y1MnDixy9dKT0+HKIoICQkxU/R0qYuLn0uSBEEQsCVNN43vvomhRmtTCYKAIX7OSMurRnZZHRNTRNSjtFotfH198e6770IulyM2NhZFRUV47bXXTCamFAoFFApFu+1yubxbN3eZTNbtY/sz9otx7BfT2DfG9Xa/mPM6MTExWLhwIa6++mpIkoTXX3/d5OijVatWme26gO7+MH78eLz66qsAgLFjx+LEiRPYsGGD0cQU7w29g/1iGvvGOPaLcdZ8b7B4YqqhoQHR0dF46KGHcMcdd7Tb35mitjExMdBoNO2O/eGHHxAYGAgAqKqqwvz587Fx48YO4+Fc8Svj5ah7SalFLaobVCiubcaxwlrYygXcFh2g78dL+yXCxwlpedU4VaKEKPpbKnyLGoivl85gv5hm7XPFe4O3tzfkcjlKS0sNtpeWlsLf3/jvkoCAANja2hrcLIcPH46SkhKo1WrY2dn1aMxERGTa5s2bsXr1anz77bcQBAHfffcdbGzav2URBMHsiamAgACMGDHCYNvw4cPx5ZdfmvU6RERkyOKJqdmzZ2P27Nkm93emqG1GRkaH11CpVJg7dy5WrFiBKVOmdNiWc8WvnLOdDPVqLdJOnMau07rE3qRgR1SeP4dKGO8Xd6EJAJBxthTZ2cZX/OvvBurr5XLYL6ZZ+1zx3mBnZ4fY2FikpKToR9tqtVqkpKRg6dKlRo+ZOnUqPvvsM2i1Wn2/nT59GgEBAUxKERFZ2NChQ7FlyxYAuk/3U1JSjK6w2hOmTp2KU6dOGWw7ffo0Bg1qXyOViIjMx+KJqY50p6jtpSRJwoMPPohrr70WDzzwwGXbc674lfN3K0FOeQNsXH2xJ68EAPDg9GGIivIBYLxfpggV2HCwEsWNEqKiotqds665BXPXp2KQlyPenx9rdEpgXzdQXy+Xw34xzdrniveWhIQELFiwAOPHj8fEiRORlJSEhoYG/Qca8+fPR1BQENauXQsAePTRR/H2229j+fLlePzxx5GdnY1XX30Vy5Yts+TTICKiS1xal7SnPfnkk5gyZQpeffVV3H333Th48CDeffddvPvuu70aBxHRQGPVianuFLW91G+//YatW7dizJgx2L59OwDg448/xujRo422b5srnpycjOTkZP20Fc4V7zxfV3vklDfgP+mFqG5sgZ+rAjOG+kIuvzCi49J+GRrgBgA4V9kIjQQobAz7KyWrGHmVjcirbERWaQNGBbn13hPqRQPx9dIZ7BfTrHmueG+ZN28eysvLsWrVKpSUlCAmJga7du3S3zvy8/MNRpSFhITg+++/x5NPPokxY8YgKCgIy5cvx1/+8hdLPQUiIjLh448/xoYNG5Cbm4vU1FQMGjQI//znPzF48GDcdtttZr3WhAkT8NVXXyExMREvvvgiwsPDkZSUhPvvv9+s1yEiIkNWnZgyh6uvvrrXP20Z6NpW5vv+D13Nlz+NC4aNvONpRr4uCrja20DZrEFuRQOG+RuOTvvuRLH+6+1HivptYopoIBFFEV999RVOnjwJQFfHY+7cuUZriVzO0qVLTU7d27NnT7ttkydPxoEDB7p8HSIi6j3vvPMOVq1ahSeeeAKvvPKK/gNjDw8PJCUlmT0xBQC33HILbrnlFrOfl4iITLPqgi3dKWprLvHx8cjMzERaWlqPXqc/aluZr81d4y+/CqIgCIjycwEAnC41rGFT19yCvacr9I+/PnoeolYyQ6REZCl//PEHhgwZggULFuCrr77CV199hQcffBBRUVE4ceKEpcMjIiIr8NZbb2Hjxo14/vnnDUbsjh8/HsePH7dgZEREZE5WnZi6uKhtm7aitpMnT+7RaycnJ2PEiBGYMGFCj16nP/J1sdd/PTHME+HeTp06boifrrh8TmmdwfafssqgFrUI93aCh6MtyutU2H+mwtgpiKiPePjhhzFy5EgUFhbi8OHDOHz4MAoKCjBmzBg88sgjlg6PiIisQG5uLsaOHdtuu0KhQENDgwUiIiKinmDxqXz19fXIycnRP87NzUVGRgY8PT0RGhp62aK2PSU+Ph7x8fFQKpVwc+O0sa7wuWjE1F3jgzt9XKSvbsRUdpnhiKmdx3XT+G4ZE4DqRjU+OZCPr44UYVprMXUi6nsyMjJw6NAheHh46Ld5eHjglVde4QcCREQEAAgPD0dGRka7VfF27dqF4cOHWygqIiIyN4snpg4dOoSZM2fqH7etiLdgwQJs3rz5skVte8qlxc+p8/zddCOmHO3kuGl0QKePi/LVjZg6XlSLFlELW7kMDSoN9pwqBwDMHhWAphYNPjmQj+9PlKBxrgaOdhZ/CRNRNwwZMgSlpaUYOXKkwfaysjJERkZaKCoiIrImCQkJiI+PR3NzMyRJwsGDB/H5559j7dq1eO+99ywdHhERmYnF39XPmDEDktRxvaCOitr2FI6Y6r4JYZ54+OpwjA31gJOi8y+x6BB3uNjboLC6Ca9/fwqJNw3Hz6fKoNJoEebliOEBuhFVIZ4OKKhqwo+ZpbgtJqinngYR9aC1a9di2bJl+Otf/4qrrroKAHDgwAG8+OKL+Pvf/w6lUqlv6+rqauo0RETUjz388MNwcHDACy+8gMbGRtx3330IDAzEm2++iXvuucfS4RERkZl0q8bUiy++iMbGxnbbm5qa8OKLL15xUNS3yWUCXrhlBG4e0/nRUgDg5mCLf/xpDADg33vPIuVkKb47XgIAmD06AIIgQBAE3N6ajNp+pMi8gRNRr7nllluQmZmJu+++G4MGDcKgQYNw991348SJE5gzZw48PDzg7u5uMNWPiIgGDo1Gg48++ghxcXHIzs5GfX09SkpKUFhYiD//+c+WDo+IiMyoWyOm1qxZgyVLlsDR0dFge2NjI9asWYNVq1aZJThL4lQ+y5g9OgAPTgnD5v15SPjPUag1WgDATaMuJLluGxuEf/2Ug73ZFShTNsPX1d7U6YjISv3888+WDoGIiKyYjY0NlixZgpMnTwIAHB0d2733ICKi/qFbiSlJkiAIQrvtR48ehaen5xUHZQ04lc9yEm8ahiP51ThaWAsACPZwwKigC1N5InycER3shqOFtZj2j58xLcobccP9MCHcE0HuDrC3lZs6NRFZienTp3eq3WOPPYaRI0fC29u7hyMiIiJrM3HiRBw5cqRd8XMiIupfupSY8vDw0E+nGjJkiEFyShRF1NfXY8mSJWYPkgYWhY0cb983Djf961fUNWtwU+s0voutvnUkln1+BIXVTdh9sgy7T5bp9/m5KhDi4Ygh/i4YHuCKEQG6/1konajv+eSTT/D0008zMUVENAA99thjeOqpp1BYWIjY2Fg4OTkZ7B8zZoyFIiMiInPq0jv1pKQkSJKEhx56CGvWrDEYSWRnZ4ewsDBMnjzZ7EFaAqfyWVaIpyPemz8eW9IK8PC08Hb7x4V64NdnZyKrpA67M0uRklWG06V1aFSLKFWqUKpU4dC5an17G5mA6BB3TAr3xOQIL0wK94KdTbdKrBFRL7rc4hhERNR/tRU4X7ZsmX6bIAj62Rv8O52IqH/oUmJqwYIFAIDw8HBMnToVNjb9dwQKp/JZ3qTBXpg02MvkfkEQMDzAFcMDXPH4dVGQJAnVjS0orG5EbkUDskrqcLJYiczzSpTVqZB+rhrp56qxfs8ZuDva4qbRAbgtOhATwjwhk7WfmkpERERElpObm2vpEIiIqBd0K7Pk4uKCkydPYvTo0QCAr7/+Gh988AFGjBiBv/71r7CzszNrkESdIQgCPJ3s4OlkhzHB7rjton0FVY04cLYSB85WYW92OcrrVPjs93x89ns+gtwdMG9CCOZNCIEfC6kTERERWYXO1pa6+eab8d577yEgoGsrQhMRkXXo1lymxYsX4/Tp0wCAs2fPYt68eXB0dMS2bdvw7LPPmjVAInMI8XTEXeND8Mbd0TiQeB0+fXgS7h4fDBd7GxTVNGHdj6cx5W8/YdFHh1BQ1WjpcImIiIiok/bu3YumpiZLh0FERN3UrcTU6dOnERMTAwDYtm0bpk+fjs8++wybN2/Gl19+ac74LCY5ORkjRozAhAkTLB0KmZlcJmBqpDf+cWc00p6Pwz/nRWNimCdErYQfM0uxYNNB1Da1WDpMIiIiIiIion6vW4kpSZKg1WoBALt378ZNN90EAAgJCUFFRYX5orOg+Ph4ZGZmIi0tzdKhUA+yt5Xj9rHB+M+Syfj+iWsQ6GaPsxUNePzzI9CIWkuHRzTg/d///R9cXV0tHQYREREREfWQbtWYGj9+PF5++WXExcXhl19+wTvvvANAV6DQz8/PrAES9Zah/i54d/543LUhFXtPl2Ptd1lYecsIS4dF1G8cO3as023blgBvu78QEREREVH/1K3EVFJSEu6//35s374dzz//PCIjIwEAX3zxBaZMmWLWAIl606ggN7xxdzQe+/Qw3t+Xi6F+Lrh7QoilwyLqF2JiYvTLfBvDJcCJiIiIiAaebiWmxowZg+PHj7fb/tprr0Eul19xUESWdNPoADwRF4Wk3dn4y3+PIbusDk/dMBT2tnxtE10JLvtNRERERESX6lZiqk16ejpOnjwJABgxYgTGjRtnlqCILG3ZtVGoalDjo9Rz2PhrLn45XY51d8dgVJCbpUMj6rM6u+w3ERFRVzz33HPw9PS0dBhERNRN3UpMlZWVYd68efjll1/g7u4OAKipqcHMmTOxZcsW+Pj4mDNGi0hOTkZycjKnkwxQMpmAF28bhelDfPCXL4/jdGk9bl//Gzb8XyyuG846akTd8c0333S67a233tqDkRARUV9x6tQpvPXWW/oPw4cPH47HH38cQ4cO1bdJTEy0VHhERGQG3UpMPf7446ivr8cff/yB4cOHAwAyMzOxYMECLFu2DJ9//rlZg7SE+Ph4xMfHQ6lUws2No2QGquuG++GHJz3w7BdHsftkGf71Uw4TU0TdNHfuXIPHl9abEgRB/zU/FCAioi+//BL33HMPxo8fj8mTJwMADhw4gFGjRmHLli3405/+ZOEIiYjIHGTdOWjXrl1Yv369PikF6KbyJScn47vvvjNbcETWwNPJDn/70xjYyAQcLahBTlmdpUMi6pO0Wq3+3w8//ICYmBh89913qKmpQU1NDXbu3Ilx48Zh165dlg6ViIiswLPPPovExESkpqZi3bp1WLduHfbv34/nnnsOzz77rKXDIyIiM+lWYkqr1cLW1rbddltbW2i12isOisjaeDsrMGOoborqF+lFFo6GqO974okn8Oabb2LWrFlwdXWFq6srZs2ahXXr1mHZsmWWDo+IiKxAcXEx5s+f3277//3f/6G4uNgCERERUU/oVmLq2muvxfLly3H+/Hn9tqKiIjz55JO47rrrzBYckTX507hgAMBXRwohatsvd6/VSiiqacK+7AqcKuGoKqKOnDlzRl+j8GJubm7Iy8vr9XiIiMj6zJgxA7/++mu77fv27cO0adMsEBEREfWEbtWYevvtt3HrrbciLCwMISEhAICCggKMGjUKn3zyiVkDvFI1NTWIi4uDRqOBRqPB8uXLsWjRIkuHRX3QtcN94eZgi1KlCr/lVOCaIboRVMcKa7By+wlkldRBpdGNGLSTy/BjwjUY5OVkyZCJrNaECROQkJCAjz/+GH5+urptpaWleOaZZzBx4kQLR0dERNbg1ltvxV/+8hekp6fjqquuAqCrMbVt2zasWbPGYFENLppBRNR3dSsxFRISgsOHD2P37t3IysoCoFshIy4uzqzBmYOLiwv27t0LR0dHNDQ0YNSoUbjjjjvg5eVl6dCoj1HYyHFrdCA+PnAOXx4uxDVDfFCqbMafPzyE8joVAMBWLkBhI0e9SoPN+/Owes5IC0dNZJ02bdqE22+/HaGhoQYfcERFRWH79u2WDY6IiKzCY489BgBYv3491q9fb3QfoFs8g4tmEBH1XV1KTP30009YunQpDhw4AFdXV1x//fW4/vrrAQC1tbUYOXIkNmzYYFVDa+VyORwdHQEAKpUKkiQZrAJF1BV/ig3GxwfO4fs/SlBZr8Lij9NRXqfCED9n/PuB8QjxcMBvZyqxYNNBbDtUiITrh8DFvn09NqKBLjIyEseOHcOPP/7Y7gOOi1fnIyKigYu1a4mIBoYu1ZhKSkrCokWL4Orq2m6fm5sbFi9ejHXr1nUpgL1792LOnDkIDAyEIAhGPylPTk5GWFgY7O3tMWnSJBw8eLBL16ipqUF0dDSCg4PxzDPPwNvbu0vHE7WJDnZDhI8Tmlu0uHNDKjIKauBqb4ON88cj3NsJNnIZronyRqSvM+pVGmw7VGjpkImsliAIuOGGG7Bs2TIsW7YM119/fbuk1OjRo1FQUGChCImIqC/gvYKIqG/r0oipo0eP4u9//7vJ/TfccANef/31LgXQ0NCA6OhoPPTQQ7jjjjva7d+6dSsSEhKwYcMGTJo0CUlJSZg1axZOnToFX19fAEBMTAw0Gk27Y3/44QcEBgbC3d0dR48eRWlpKe644w7ceeed+poml1KpVFCpVPrHSqUSACCKYpeHCIuiCK1Wy6HFl+jr/XLH2CC89sNp5FY0QCYAb94TjWB3e4Pns+CqUKz8JhOb9+fh/yaFQC67/AiQvt4vPYX9Ypol+qa3vw95eXloaWnp1WsSEVHfwnsFEVHf1qXEVGlpKWxtTU9LsrGxQXl5eZcCmD17NmbPnm1y/7p167Bo0SIsXLgQALBhwwbs2LEDmzZtwooVKwAAGRkZnbqWn58foqOj8euvv+LOO+802mbt2rVYs2ZNu+1nzpyBs7Nzp67TRqvVoqqqCjk5OZDJurUAYr/U1/sl2k0DmQBoJWBhrCcCUIPs7BqDNqNdtHC2kyG/qhGf7TmKq0IuXwS9r/dLT2G/mGaJvqmvr++V6xARERER0cDQpcRUUFAQTpw4gcjISKP7jx07hoCAALMEBgBqtRrp6elITEzUb5PJZIiLi0NqamqnzlFaWgpHR0e4uLigtrYWe/fuxaOPPmqyfWJiIhISErBx40Zs3LgRoigiJycHERERRqcwdqTt2MjISMjl8i4d25/19X6JAvCG4IaqBjUWTB5ksh7OvZOAjb/m4vtcNR64Nuay5+3r/dJT2C+mWaJv2kaREhERERERmUOXElM33XQTVq5ciRtvvBH29vYG+5qamrB69WrccsstZguuoqICoii2m3bn5+enL5Z7OefOncMjjzyiL3r++OOPY/To0SbbKxQKKBQKPPXUU3jqqaegVCrh5uYGuVzerTd+Mpms28f2Z329X24fF3LZNg9ODcem3/KQerYKmcX1GB3sdtlj+nq/9BT2i2m93Tf8HhARERERkTl1KTH1wgsv4L///S+GDBmCpUuXYujQoQCArKwsJCcnQxRFPP/88z0SaHdNnDix01P9LpacnKx/TkTdEeTugFkj/bDzeAnmvL0PET5OmBDmiVkj/TFzmG+XznXgbCVOl9bhgatMj9AiIiIiIiIi6mu6lJjy8/PD/v378eijjyIxMRGSJAHQraw0a9YsJCcnmywq3h3e3t6Qy+UoLS012F5aWgp/f3+zXceY+Ph4xMfH60dMEXXHX24choKqJhwvqsWZ8gacKW/AlrQC/HNeNG4fG9ypc0iShKWfHUZFvRqjg9wwNtSjh6MmIiIiIiIi6h1drpY7aNAg7Ny5ExUVFfj9999x4MABVFRUYOfOnQgPDzdrcHZ2doiNjUVKSop+m1arRUpKCiZPnmzWa10qOTkZI0aMwIQJE3r0OtS/DfJywv8evxpHVl6P9+aPx20xgQCAFV8ex4mi2k6dI7usHhX1av3XRH3ZTz/9hBEjRhitVVVbW4uRI0fi119/1W/797//bdYPPIiIqP/hvYKIqG/r0oipi3l4eJglaVNfX4+cnBz949zcXGRkZMDT0xOhoaFISEjAggULMH78eEycOBFJSUloaGjQr9LXUzhiiszJw8kOcSP8MHOYL5RNLfj5VDkWf5yO/z1+NTyd7Do89vezlfqvcysaejpUoh6VlJSERYsWGV1Mws3NDYsXL8a6deswbdo0AMB9993X2yESEZEVqKiowKZNm5CamoqSkhIAgL+/P6ZMmYIHH3wQPj4++ra8VxAR9W0WX3v90KFDGDt2LMaOHQsASEhIwNixY7Fq1SoAwLx58/D6669j1apViImJQUZGBnbt2tXjn4pwxBT1BLlMQNI9YxHm5YiimiYs/ewwNKK2w2MO5Fbpv85jYor6uKNHj+LGG280uf+GG25Aenp6L0ZERETWJi0tDUOGDMG//vUvuLm54ZprrsE111wDNzc3/Otf/8KwYcNw6NAhS4dJRERm0u0RU+YyY8YMfa0qU5YuXYqlS5f2UkQ6HDFFPcXNwRb/fmA8bl//G/afqcSGX85g6bVRRttKkoTfz15ITHHEFPV1paWlsLW1NbnfxsYG5eXlvRgRERFZm8cffxx33XUXNmzY0G7RF0mSsGTJEjz++ONITU21UIRERGROFh8xRTQQDfV3wcpbRgAA/ne02GS7sxUNqKhX6R/nVTZAq+04kUtkzYKCgnDixAmT+48dO4aAgIBejIiIiKzN0aNH8eSTTxpdiVgQBDz55JPdWnWbiIisExNTJnAqH/W0WSN1K0ueKq1DeZ3KaJuDrdP4Ygd5QC4T0NyiRWldc6/FSGRuN910E1auXInm5vav46amJqxevRq33HKLBSIjIiJr4e/vj4MHD5rcf/DgQRY7JyLqRyw+lc9acSof9TRPJzsMD3DFyWIlDpytxE2j2v+B1Vb4fGqEFyrrVcirbERuRQMC3Bx6O1wis3jhhRfw3//+F0OGDMHSpUsxdOhQAEBWVhaSk5MhiiKef/55C0dJRESW9PTTT+ORRx5Beno6rrvuOn0SqrS0FCkpKdi4cSNef/11C0dJRETmwsQUkQVNHuyFk8VK7D/TPjElSRJ+bx0xNWmwF44X1SKvshF5FY2YEmGJaImunJ+fH/bv349HH30UiYmJ+hqDgiBg1qxZSE5O5qfgREQDXHx8PLy9vfHPf/4T69evhyiKAAC5XI7Y2Fhs3rwZd999t4WjJCIic2FiyoTk5GT9p/dEPWVKhBc2/ZaL1DMV7fYVVDWhuLYZtnIB40I9EObtBJwqR25FvQUiJTKfQYMGYefOnaiurkZOTg4kSUJUVBQ8PDwsHRoREVmJefPmYd68eWhpaUFFhe7vJG9v7w4X0CAior6JiSkTOJWPesPEwZ6QCUBeZSPO1zQZ7DuQq5vGNybYHQ52coR7OwEAcisaez1Oop7g4eFhtjp+ycnJeO2111BSUoLo6Gi89dZbmDhx4mWP27JlC+69917cdttt2L59u1liISKi7rvjjjuwefNmuLq64o477uiwrbOzM0aOHIklS5aY/e/1v/3tb0hMTMTy5cuRlJRk1nMTEZEhFj8nsiBXe1uMDnYHABxonbbX5vezrdP4wj0BQJ+Yyqts6L0AifqArVu3IiEhAatXr8bhw4cRHR2NWbNmoaysrMPj8vLy8PTTT2PatGm9FCkREV2Om5ubfjU+Nze3Dv9pNBps2LABDzzwgFljSEtLw7///W+MGTPGrOclIiLjOGKKyMKmRHjhaEENUs9UYnT0haLmv7eOmJo02AsAEOalS0zlVzZC1EqQy9ovoXyp5hYRyqYW+Lra90DkRNZh3bp1WLRoERYuXAgA2LBhA3bs2IFNmzZhxYoVRo8RRRH3338/1qxZg19//RU1NTUdXkOlUkGlurB6plKp1J+nq1O+RVGEVqvlVPFLsF+MY7+Yxr4xzhL9Ys5rffDBB0a/NiUzM9Osq2jX19fj/vvvx8aNG/Hyyy932Jb3hp7HfjGNfWMc+8U4a783MDFlAmtMUW+ZPNgL7+w5g9SzVVg0JhAAUFTThMLqJshlAmIH6eruBLo7wE4ug1rU4nxNE0I8HS977qWfHcEvp8uwc9k0RPm59OjzILIEtVqN9PR0JCYm6rfJZDLExcUhNTXV5HEvvvgifH198ec//xm//vrrZa+zdu1arFmzpt32M2fOwNnZuUsxa7VaVFVVIScnBzIZBy63Yb8Yx34xjX1jnCX6pb7ecvUvhw4div3795vtfPHx8bj55psRFxd32cQU7w09j/1iGvvGOPaLcdZ+b2BiygTWmKLeMj7MA7ZyAcW1zSiu02AIgM2/5QIARgW5wVmh+zGVywSEejkip6weuRUNl01MldQ2Y/fJUgDAz6fKmJiifqmiogKiKLZbyc/Pzw9ZWVlGj9m3bx/ef/99ZGRkdPo6iYmJSEhI0D9WKpUICQlBREQEXF1duxSzKIrIyclBZGQk5HJ5l47tz9gvxrFfTGPfGGeJfmkbKWQJcrkc0dHRZjnXli1bcPjwYaSlpXWqPe8NPY/9Yhr7xjj2i3HWfm9gYorIwhztbDA2xAMH86pwtKQJ+QfOYeOvusTUw1eHG7QN93ZCTlk98iobcA18OjzvdyeK9V8fPldj9riJ+qK6ujo88MAD2LhxI7y9vTt9nEKhgEKhaLddLpd36+Yuk8m6fWx/xn4xjv1iGvvGuN7ul/7Q/wUFBVi+fDl+/PFH2Nt3rgQC7w29g/1iGvvGOPaLcdZ8b2BiisgKTI7wwsG8Knxxogbn68oBAE/fMARzogMN2l1Yme/yBdB3HLuQmErPr4YkSfpiokT9hbe3N+RyOUpLSw22l5aWwt/fv137M2fOIC8vD3PmzNFv02q1AAAbGxucOnUKERERPRs0ERFZnfT0dJSVlWHcuHH6baIoYu/evXj77behUqn4JpeIqIdw0iWRFZgSoStwXqRsgSQB904MRfzMyHbt2gqgXy4xVVzbhEPnqgHopgCW16lQWN1k5qiJLM/Ozg6xsbFISUnRb9NqtUhJScHkyZPbtR82bBiOHz+OjIwM/b9bb70VM2fOREZGBkJCQnozfCIishLXXXddu/vD+PHjcf/99yMjI4NJKSKiHsQRU0RWICbUHfa2MjS3aHHdMB+8dNtIo6Ob2kZM5V0mMfXd8RIAwPhBHmgRtThaWIvD+dWdKphO1NckJCRgwYIFGD9+PCZOnIikpCQ0NDToV+mbP38+goKCsHbtWtjb22PUqFEGx7u7uwNAu+1ERDRwuLi4tLsPODk5wcvLi/cHIqIexsSUCVyVj3qTwkaOv94yAvtO5mPtvGjYyI0PZmxLTBVUN6FF1MJWLkP6uSqcKFLivkmhsG09bsdx3TS+m8cEIL+qEUcLa3Ekvwa3xQT1zhMi6kXz5s1DeXk5Vq1ahZKSEsTExGDXrl36guj5+flclYWIiIiIyEoxMWUCV+Wj3nbX+GDEuDXB0c70j6WfqwIOtnI0tYgoqGpEZYMa92/8HWpRi4yCGrxxVzRK65qR3jqNb/aoAKTlVeGD3/L024j6o6VLl2Lp0qVG9+3Zs6fDYzdv3mz+gIiIqM+73P2DiIjMg4kpoj5EEASEeTvhZLESe06V462fsqEWdYWbvzpSBE8nOwS46VaSmRDmAX83e4wb5AEAOFmsRJNahIMdayQQERERERGRdeDcBqI+JtxbVyfqpR2ZqG5swZhgN7xyu672wfv7cvHm7mwAwM2jAwAAgW728HNVQKOVcKywxiIxExERERERERkzYBJTjY2NGDRoEJ5++mlLh0J0RdpW5pMkIMjdAe8tGI/7Jw3CCzcPBwDUqTQQBGB2a2JKEATEto6aSs/ndD4iIiIiIiKyHgMmMfXKK6/gqquusnQYRFcsys8ZAOCisMEHCyfA10U3de/haYOxePpgAMCUCC/4udrrjxkXqktMHT5X07vBEhEREREREXVgQNSYys7ORlZWFubMmYMTJ05YOhyiK3LT6ADkVzbhuuG+GOLnYrBvxY3DMH2ID4Zesn1sa2LqSH41JEmCIAi9Fi8RERERERGRKRYfMbV3717MmTMHgYGBEAQB27dvb9cmOTkZYWFhsLe3x6RJk3Dw4MEuXePpp5/G2rVrzRQxkWUpbORYHheFUUHtV4sUBAFTIrzh5aww2D4qyBV2chkqG9TIr2rsrVCJiIiIiIiIOmTxxFRDQwOio6ORnJxsdP/WrVuRkJCA1atX4/Dhw4iOjsasWbNQVlambxMTE4NRo0a1+3f+/Hl8/fXXGDJkCIYMGdJbT4nI6ihs5BgV5AoASD9nvM7UbzkVKKpp6s2wiIiIiIiIaICz+FS+2bNnY/bs2Sb3r1u3DosWLcLChQsBABs2bMCOHTuwadMmrFixAgCQkZFh8vgDBw5gy5Yt2LZtG+rr69HS0gJXV1esWrXKaHuVSgWVSqV/rFQqAQCiKEIUxS49N1EUodVqu3xcf8d+Ma6n+2VsiDsO59cgPa8Kt0UHGOz7MbMUSz49guhgN/z30ckdnqeuuQXHi5SYPNizV6YE8vVimiX6ht8HIiIiIiIyJ4snpjqiVquRnp6OxMRE/TaZTIa4uDikpqZ26hxr167VT+PbvHkzTpw4YTIp1dZ+zZo17bafOXMGzs7OXYpfq9WiqqoKOTk5kMksPjjNarBfjOvpfgmw042G2nXiPO4aYgN7G901JEnCG7uKAABHC2tx6HgW3OzlJs+z4vvzyChuwupr/TE51MnscV6KrxfTLNE39fX1vXIdIiIiIiIaGKw6MVVRUQFRFOHn52ew3c/PD1lZWT1yzcTERCQkJGDjxo3YuHEjRFFETk4OIiIi4Orq2qVztR0bGRkJudz0G/2Bhv1iXE/3S2iYiE1HfsX5mmb8VmaLJa0r+O3NLkd25Vl9uwrBHeOj/I2eI/1cNTKKzwAAzjTYYX5UlNnjvBRfL6ZZom/aRpFS/7PrRAn+9t1JJN8/DiMD29ewIyIiIiLqCVadmDK3Bx988LJtFAoFFAoFnnrqKTz11FNQKpVwc3ODXC7v1hs/mUzW7WP7M/aLcT3ZL45yOZ6ZNRRPbj2KDb+cxb2TBsHTyQ7v/JILAFDYyKDSaHEwrxo3RwcZPce7v+bpvz50rrrXvn98vZjW233D70H/9env55BX2Yhthwox8lYmpoiIiIiod1j1vBhvb2/I5XKUlpYabC8tLYW/v/ERHeaSnJyMESNGYMKECT16HaLedFt0EEYEuKJOpcHbP+UgLa8KB3OrYCsXsGL2MADAgbNVRo89XVqH3SdL0VZW6lRpHZTNLb0VOhH1IEmSkHleNxruaGGNZYMhIiIiogHFqhNTdnZ2iI2NRUpKin6bVqtFSkoKJk/uuEDzlYqPj0dmZibS0tJ69DpEvUkmE5B4ky4B9fGBPLz0bSYA4M7YYNwWoxsldaq0DpX1qnbHbtijm8J340h/DPJyhCQBh02s8EdEfUt5nQqVDWoAQOZ5JVpErYUjIiIiIqKBwuKJqfr6emRkZOhX1svNzUVGRgby8/MBQF/v6cMPP8TJkyfx6KOPoqGhQb9KX0/hiCnqr6ZF+WBalDdaRAnHCmshE4Al0yPg6WSHYf4uAIDfcw1HTRVWN+Lro+cBAI/OiMD4QZ4AdDWniKjv+6P4Qu0wlUaLUyV1FoyGiIiIiAYSiyemDh06hLFjx2Ls2LEAdImosWPH6lfOmzdvHl5//XWsWrUKMTExyMjIwK5du9oVRDc3jpii/uwvNw7TT8m7NToQg7x0q+tdNdgLAHDgbKVB+/d+zYWolXB1pDfGBLtjfJgHACAtz/i0PyLqW9qm8bU5VljbrfNIkoStafn4Mr3QHGERERER0QBg8eLnM2bMgCRJHbZZunQpli5d2ksR6SQnJyM5ORmiKPbqdYl6w6ggNyyaNhjfHj2PZdddWFnvqsGe2Lw/D6lnLiSmyuqasSVNN4Lx0RkRAIAJrYmpjIIatIha2MotnuMmoivQlphyUdigTqXBscIa3DcptMvnWffjabz1Uw4AwNXBFteP6NkPkYiIiIio7+O7SRM4Yor6u+duGo79iddhsI+zftukcN2IqeyyelS01pla879MNLdoERPijikRuv2DvZ3h7miL5hYt/rhkpAUR9T2ZrVP5bhsbCAA42o0RU+/vy9UnpQDgua+Oo6ZR3eExotb4B1OiVsLZ8no0qfnhEBEREVF/Z/ERU9aKI6ZoIPJorTOVVVKHA2crobCRY8exYshlAl6eOwpC6/w/mUzA+EEe2H2yDIfyqhAT4m7ZwImo2+pVGuRVNgAA7pkQik8O5ON0aR2a1CIc7OSdOseX6YX6xRSWXReFHcfO40x5A178XybWzYsBAFQ3qLH2u5NIP1eN2iYNlM0tUGu0GObvgikR3pg82AOFRQ14//hx/JRVjsoGNWxkAkYGumLcIA+EejqiqUVEo0pEg1qDJrWoe9yavHJzsIWbgy1c7W0BABqtFi2idGFUtgAIECATAEEAZIIAQRAgF3TbZDIBcpkAm4v+t5HLYCMTYGcjg51cBoWtDHZyOextZbC3lcPBTg4HW90/e1s5FDYyyGSCGb87RERERP0fE1MmxMfHIz4+HkqlEm5ubpYOh6jXXDXYC1kldfgxs1Rfa2rRtMEYFWT4cxA7yLM1MVWNh6dZIlIiModTJUpIEuDnqsDIQFf4uChQXqfCH+drMT7M0+gx5XUqZBTU4GSxEpnnlfjxZCkA4M9Xh+PJuCjMGOqDO9/Zj/8eKcJNowNgayPDM9uOoqyu/YqfWSV1yCqpw6bfcg2228gEaLQSjhbWdmsEl6XY2cjgaCeHY2viStRKaG7RoqlFhFpjuNqhTJ8gAwRBgCRJkACgLZfWul/SirCxKYBcJugeQ4KovfBP1rpdlxMTDM4rSYC29bwdVU4QLsmnCSa2W4IAU0FI0Gg0sLEpBEy2sU492a8SAE1LC2xsi7rVK98/eY0+wUtERNQbmJgiIgNXDfbC5v15+DpDtwpfuLcTnoiLateurc7UoXPVkCRJP5qKiPqWtvpSIwJcIQgCooPdsPtkGY4WGiam6ppb8P0fpdh+pAj7z1Tg0ll4d8YG4/mbhkMQBIwL9cDD0wbj3b1nsXzLETS0jmqK8HHCczcNR4CbA1wdbCCXCUg/V43fciqReqYCKrUa148KxKyRAZgQ5omyumakn6vG4XPVqKhXw9FODieFDRwuSvw42MkhSUBtUwuUTS1QNrcAEGArF2Ajk0Euu5CQaUvOaCXdSCpt69daqS3JA4haLTRaCRpR0o+60mi1UGu0UGl0/ze1iGhuEfWjtlrEC52hbm1TgxbzfqNUHU+LHNg4ut247vXLZUq/EhERmR0TU0Rk4KrBnvpP2QFg7R2jYW/bfjrPqCA32MllqKhX4VxlI8K8nXo5UiIyh7b6UiMCXQEAY4LdsftkGY4V1ujbfHe8GE/+JwPNLRdG/Az1c8HIQFcMD3DF6GA3TAr3NEhQJ1w/BLszS3G2QjdNcMHkQVgxe3i76YG3jHHALWMCIYoisrOzERUVBblc1ybYwxHBHo64LSaoR567uehGRbUmq1oTVo2t/2zlAuwvmup3MemixJhW0o2iEWA4ekqjEZGbdw6hoaGQBAFara5d23RDXZ/rjhe1EiQJkND6v3RhZE7b6Ku2ry+O4dJEROu4rU4nKEx9LtHTCQ6tVov8/HyEhoZCJmPZ1DaiKCK/oAChISH6n6WucOrkFF4iIiJzYWLKBNaYooHK3dEOw/1dkVmsxL0TQ3DVYC+j7ext5RgT7IZD56px6Fw1E1NEfdSFEVO66bpjgnX/H2udPlfdoEbiV8fR3KLFYG8n3D42CLfFBCHUy7HD89rbyrHhgVis/zkHc8cGYcZQ3x58FpYllwlwUtjASWH+P6tEUYRUa4cof5duJRn6M1EUYdegQFSgK/vmIqIoQtFYhqggN/YLERH1CUxMmcAaUzSQvTR3FFJOluKxmZEdtosN89AlpvKqcGdscC9FR0TmohG1yCqpA2A4YgoAcisaUNvUgjd+PIWaxhYM9XPBjmVXw0be+ZEpQ/xckHTPWLPHTURERET9BxNTRNRO7CAPxA7yuGy7CYM88W+cxdZDBThTXo9ZI/0RN9wPIZ6OkFtgZapvj52HjUzAjaMCev3aRH1RbkUDVBotHO3kGOSpGwHl6WSHEE8HFFQ1YcvBfHz6ez4AYM1tI7uUlCIiIiIi6gwmpoio266O8saUCC/sP1OJtLxqpOVV4+UdJyGXCfB1UcDfzR7BHo4I93JEmLcTInycMSrIrUeSVqdK6rD0syOQCcDB5+Pg7aww+zWI+pu2+lLDA1whu+jnckywOwqqmvCP709BkoBbowNNTuslIiIiIroSTEyZwBpTRJdnbyvHZ4uuwvmaJvzwRwm+O1GCQ+eqIWolFNc2o7i2GUfyawyO8XSyw8yhvrh+hC+mRfmYrSbL5v15AACtBOzLrsDcsdZdLJnIGly8It/FooPdsONYMUStBEc7OZ67abglwiMiIiKiAYCJKRNYY4qo8wLdHfDg1HA8ODUcolZCRb0KxbXNKKltQn5VI3IrGpFbUY/M80pUNajx5eFCfHm4EPa2Mlw3zA+3jAnAzGG+Rlf/64yaRjW+OlKof7w3u5yJKaJOuHRFvjZtdaYA4PFro+DvZt+bYRERERHRAMLEFBGZlVwmwM/VHn6u9kCIu8G+FlGLQ3nV2H2yFD9klqCgqgk7jhdjx/FiOCtsMH/yIDxyzWC4O9p16Zpb0grQ3KKFs8IG9SoNfs2ugCRJBkvXE5EhSZJMjpiKCXFHuLcT3Bxs8dDVYRaIjoiIiIgGCiamiKjX2MplmBzhhckRXnjh5uE4UaTEt8fO49tjxSiqacL6PWfw8YFzWDRtMB66OhzOnZjmpxG1+Dj1HABgxexheHlHJsrrVMgqqcPwS95sE9EFJcpmVDaoIROAof4uBvvsbeX46anp0EqwyEIGRERERDRwcHkdIrIIQRAwOtgNiTcNx76/zMS7D8RimL8L6po1WPfjadyx/jeoNJev8fZjZimKaprg6WSHO2OD9QWaf80u7+mnQNSnHThbCQAYGehmdBqtIAhMShERERFRj2NiiogsThAE3DDSHzuXTcNb946Fl5MdTpfW45MD+Zc99oPWouf3TQyFva0c10T5AAB+za7oyZCJ+rx92brE1NRIbwtHQkREREQDGRNTJiQnJ2PEiBGYMGGCpUMhGjBkMgFzogPxzKyhAIC3fsqGsqnFZPs/ztfiYG4VbGQC/u+qQQCAa4bo3mT/nluFJjVX1SQyRpIk7D+jS95OjfSycDRERERENJAxMWVCfHw8MjMzkZaWZulQiAacO2ODEeXrjJrGFmzYe9Zku68OFwEAbhzlr181LMLHGQFu9lBrtDiYV9Ur8RL1NWcrGlBc2ww7GxkmhHlaOhwiIiIiGsCYmCIiq2Mjl2HF7GEAgA/2n0NZvfFRU3+0rig2fYiPfpsgCBem851mnSkiY/bn6EZLxYZ6GK0vRURERETUW5iYIiKrdO0wX0wK94Rao8VHR6qNtjldWgeg/Ypi01qn8+1lAXQio/a1JqaujmJ9KSIiIiKyrAGRmAoLC8OYMWMQExODmTNnWjocIuoEQRCQeNNwAEDKmTqcLFYa7C+vU6GyQQ1BAKJ8DRNTUyO8IQjA6dJ6lNQ291rMRH2BqJWQekZX+HxKBOtLEREREZFlDYjEFADs378fGRkZ+Pnnny0dChF1UkyIO24c6QcJwPaM8wb7TpXoRkuFeTnBwc5wKpKHkx3GBLsDAL48XNgboRL1GX+cr4WyWQMXhQ1GB7lZOhwiIiIiGuAGTGKKiPqmmcN09aKOFtYabD/VOo1viJ+z0eNmj/IHALz2/Sk89mk6KutVPRglUd/RNo3vqggv2Mj5ZwARERERWZbF/yLdu3cv5syZg8DAQAiCgO3bt7drk5ycjLCwMNjb22PSpEk4ePBgl64hCAKmT5+OCRMm4NNPPzVT5ETUG6JbRz6dKFJCI2r120+V6Kb2DfV3NXrcn68Ox7LroiCXCdh5vATX/3MvdmeW9ni8RNZuf45uGt9UTuMjIiIiIitgY+kAGhoaEB0djYceegh33HFHu/1bt25FQkICNmzYgEmTJiEpKQmzZs3CqVOn4OvrCwCIiYmBRqNpd+wPP/yAwMBA7Nu3D0FBQSguLkZcXBxGjx6NMWPGGI1HpVJBpbowskKp1L35FUURoih26bmJogitVtvl4/o79otx7Bfjwjzs4WgroLFFRFZxLYYH6BJRWcWtI6Z8nYz2mQzA8msjcN1Qbzz75XGcKq3HY58dRupfZsDd0c7k9VQaLb7JOI/rR/h22M4aWOI1w9dn39bcIiItrwoAC58TERERkXWweGJq9uzZmD17tsn969atw6JFi7Bw4UIAwIYNG7Bjxw5s2rQJK1asAABkZGR0eI2goCAAQEBAAG666SYcPnzYZGJq7dq1WLNmTbvtZ86cgbOz8SlDpmi1WlRVVSEnJwcymcUHp1kN9otx7BfjtFotwt1k+KNCxA/p2bAZ6gqtJOFUqS5prGiqRHZ2ncnjFQBev8EXS75WoUjZgm9SMzE51Mlk+08zqvBxRjV++cMFy6f4mvvpmJUlXjP19fW9ch3qGYfPVUOl0cLXRYEIn67d04iIiIiIeoLFE1MdUavVSE9PR2Jion6bTCZDXFwcUlNTO3WOhoYGaLVauLi4oL6+Hj/99BPuvvtuk+0TExORkJCgf6xUKhESEoKIiAi4uhqfMmSKKIrIyclBZGQk5HL55Q8YINgvxrFfjBNFEaMCqvBHRS2K1XaIiorCucpGqDRnYWcjwzXjhneqTs60LDW2pBWiUG2PqKgok+0O7foNAHCsrKXDdtbAEq+ZtlGk1De11Ze6OtIbgiBYOBoiIuoLNKL2sn9rtYhabP4tD/lVjVgxexicFFb9NpOIrIxV/8aoqKiAKIrw8/Mz2O7n54esrKxOnaO0tBS33347AN2buEWLFmHChAkm2ysUCigUCiQnJyM5OVk/bUUul3frjZ9MJuv2sf0Z+8U49otxw3wcANTiaGEt5HI5sssbAABRvs5Q2Nl26hxXDfbGlrRCHMqrNtm/RTVNONm62l9RTTPO16oQ4ulolufQU3r7NcPXpnkdzq/GL6fKsfTaSNj2cCFySZKw43gxAOCaIT49ei0iIjKfL9ILIQD4U2ywRa79wvbjWHZdFB6bEWm0TXZpHZ7adhTHWheqqahXIfm+cZDJ+AEIEXVOv58vNHjwYBw9ehRHjx7FiRMnsHz58k4dFx8fj8zMTKSlpfVwhER0OUO9FQCA7LJ61DW34HRr8mion0unzzEx3BMAcOK8Eg2q9jXpAOCnk4bF0VPPVnYnXLKAriySsXHjRkybNg0eHh7w8PBAXFxclxfVMJeXvs3EmynZ+DmrrMevlZZXjXOVjXCyk+OGkX6XP4CIaIBZu3YtJkyYABcXF/j6+mLu3Lk4deqURWOqbWrBs18cxTNfHEVdc0uvXnv7kSI888VRNLdosTWtoN1+SZKwce9Z3PzWPhwrrIWrvQ3s5DJ8d6IE//opu1djJaK+zaoTU97e3pDL5SgtNXyzWFpaCn9//x69dnJyMkaMGNHh6Coi6h2ejjYIdLeHJAHHi2qRVdqamPLvfGIq0N0BwR4OELUSDudXG22z+6QuOeDhqBuFdeAME1N9QdsiGatXr8bhw4cRHR2NWbNmoazMeLJnz549uPfee/Hzzz8jNTUVISEhuOGGG1BUVNTLkQO5FQ0G//ekbYd0bypuHhMARzurHjBNRGQRv/zyC+Lj43HgwAH8+OOPaGlpwQ033ICGhp7/HW1KQVUjtBKglYD8qsZeu+6OY8VI+E8GJEn3+FxlIwouuf6O48V4ZedJqDVazBjqgx+enI6X544CACTtzsauE8Wdvl5tUwvOltfjUF4Vdp0owcepeXjt+yw8++VxvLGvDKlnKyG1BdMNKo2IBpUGKo0Irbb75yGinmHVf5na2dkhNjYWKSkpmDt3LgBdsd+UlBQsXbrUssERUa+KCXbH+ZoSZBTUXBgx1YXEFKAbNVVYXYSDuVWYFmU4lalBpUFqayJq2XVRWPO/TBxo/SOItXisW2cWybjYp59+avD4vffew5dffomUlBTMnz/f6DV6YsXWmoZm1DTqPv3Or2zo0RUPG1Qa/TS+O8YGWuXqilyZ1Dj2i2nsG+O4Ymv37dq1y+Dx5s2b4evri/T0dFxzzTXt2vfGat7nKuov+roBw/x6fuGKb48V46ltx6CVgDvHBeFsRQMO59fgl1NluHdiiL7dNxnnAQAPTArF6jnDIQgC/jQuEJnFtdi8/xwS/nMU1Q1qhHg6wM9FgUB3B9jbGpYEqGlU4+kvjuPnU+UdxvRjThqG+btgweRB8HC0RVZJHU6X1qOguhGNahENahGNKg1s5TK4OdjCzcEGdjYyVNSrUV6ngrLZcLS8IAACAEEQIGv9um2HoN/fuu/CTggCIGs7pm1Ha8JMAtAiShC1EjRaLQRBgJ1cgK1cBlu5DDKZ7jiZIECjlaDWaKHWaNEiaiGXCbCRCbCRyyAXBFz8p6ckARKkC19LukeSpHvdyOX5+utrJak1HAnAhTjbnpMxuvMbutAH3XO51F9P/mUt4UK/8C/4C660X968JwZTIry6dExXfg9aPDFVX1+PnJwc/ePc3FxkZGTA09MToaGhSEhIwIIFCzB+/HhMnDgRSUlJaGho0L8B6Snx8fGIj4+HUqmEm5tbj16LiC4vOsQNO0+UIC23CmdbR5d0OTEV5on/Hi7C77lV7fb9ml0BtahFqKcj7pkQild3nsT52mYUVDUh1Mu660wNZOZYJKOxsREtLS3w9PQ02aYnVmw9U3XhzUxWYQWys3tu2sOPOUo0qkUEuNjATV2B7GzrGw3IlUmNY7+Yxr4xjiu2mk9tra5mkqn7Q2+s5n04+8Io7yOn8zHYrucWITlbpcJ7hypx+HwTAODawc5YOEqBLccacTgf2JWRh/EezQCAZo0Wv5zSjUye5Ks1eD93V6QcR3MdcKS4CYlfndBvV9gIuH2EG+4a5Q4nOznyqtVY81Mxiut0SSNHWwFu9nK4KeTwdLSBl6Mcng5yFFY1YF9RC7JK6gzOZ0plg/qybfTJGEmC4Vtnc46mkqDWAEBPJ261PXz+vor9Ylz3+uVcQSF8tO3fQ3WkK/cGiyemDh06hJkzZ+oft62It2DBAmzevBnz5s1DeXk5Vq1ahZKSEsTExGDXrl3tCqITUf8WE+wOANibXQFRK8HV3gb+rvZdOkdbnamMgho0t4gGn9qltNaXum64Lxzs5IgJcUdaXjVSz1Yg1CvUPE+CzM4ci2T85S9/QWBgIOLi4ky26YkVW2vUrgB0nzZXqQWzrQJZr9Lgj/NKjB/kAXlr4dnVv+hqaN0zKRxDhkSY5TrmxpVJjWO/mMa+MY4rtpqHVqvFE088galTp2LUqFFG2/TGat7NmX8A0L0ZbJY79ciKwSW1zfjn7mx8eaQIkgTYygU8OCUMT18fBRu5DLc6VOPjjN9xvEyNwRGRkMsE7D5ZBpWYi0B3e9w4aWS70eXvh4bjXz/l4FRJHcrqVChVNqNeJWLLsRrsym7An8YFYUvaeTSoRQR7OGDD/WMxPKB9n7X1y9+CBuHLI8X48nARbOUChvi5YKi/CwZ7O8HV3gaOdnI42smhFiXUNrVA2dSCZo0WXk528HVRwNvZDnY2MohaST+qqW3kUdvMvrapgm0jlKTWKZRtX7e1aTtGq5X0Q3/aRl/ZyATYygXIZTJIku5aalGLFo0WWknSna91NL7CVgaFjQy2MhlESYJG1KJFKxlMNZSk1pFLraOegAuPtVoRBfn5CA0dBHnrAiqy1tFWAoSLnoPuuh2Nkrl0hBaA1lFZphN10kXPuyuuZErmxUxdVxRF5OfnIzQ0lB9aXESr1V5RvwS5O3R5tc2u3BssnpiaMWPGZV+cS5cu7fWpe5euykdEljUy0BVymQCx9WY9zN+1yzfCcG8neDsrUFGvwrHCWn2iSquV8HPrp35xw3UJjqsGeyEtrxoHzlZh3gQmpvqrv/3tb9iyZQv27NkDe3vTic62FVsvdSUrtp6vbdY/LqpuhiDIzLKC0Ss7T+A/hwoxfYgP3rwnBnXNGvyeWwVBAO4cH2LVb+C5Mqlx7BfT2DfGccXWKxcfH48TJ05g3759Jtv0xL3h0mMLapov+rrJrH3dqNbg37+cxbt7z6KpRfee5+YxAXh21lAM8nLStxsb6gkXexvUNrUgs6QeMSHu+rqcN4zwh41N+7eUns5y/PXWCwk9SZLwY2YpXvv+FLLL6vH+b3kAgMmDvZB8/zh4OtmZjFMmk8HT2R5LZkRiiYmVAQciURQhq7NHlL9rv/wZ7C5RFCGvt0dUgBv75SKW6JeuXIcpRBO4Kh+RdXGwkxuswjfEv+s1FgRBwKTWZFRa3oWhqBmFNaioV8NFYYMJYbr9kwfr5lCnnrmyYpvUs65kkYzXX38df/vb3/DDDz9gzJgxPRmmUQVVTfqv1aIWpXXNHbTuvEPndNM+fjldjjlv78MbP+hWlJoa4Y0gdwezXIOIqD9bunQpvv32W/z8888IDg62aCyFFxUcv7T4+JX4/o8SzHhtD95MyUZTi4jYQR748tEpSL5vnEFSCgBs5DJ9bZl92eXQiFrsbh1p3tlVXgVBwA0j/bHriWvwjzvHYHiAKx65ZjA++vPEDpNSRDQwMDFlAlflI7I+MaHu+q+H+ndtiHybtlFSF9eZapvGd81QH9jZ6H4tjhvkATu5DCXKZpyr7L1VcKhrLl4ko03bIhmTJ082edw//vEPvPTSS9i1axfGjx/fG6G2U1DdZPi4qslEy85rbhGR11qDLcDNHgVVTdjeWpz2rvGWfXNFRGTtJEnC0qVL8dVXX+Gnn35CeHi4RePRaiUUXnSvKKxuMsuKcmXKZjz+2RGU1akQ6umI9fePwxdLJiN2kIfJY65uXTTm1+wKpJ+rRnVjC9wcbDExzHR9RmPkMgF3jw/Bd8un4bmbhsNWzrejRMTElEkcMUVkfWJC3PVfD+ti4fM2bSOi0vOqoBG1OFfZgG+P6VYru374hU/97G3l+kRY6lnrKxRNFyQkJGDjxo348MMPcfLkSTz66KMGi2TMnz/foDj63//+d6xcuRKbNm1CWFgYSkpKUFJS0uvFewuqdQnPtmSoOT4Jzymrh1YCPBxt8d3yaZg+RPdGwsXeBjeM6HgEGRHRQBcfH49PPvkEn332GVxcXPT3h6amK//goDtK65qhFrWwaV3NTaXRorxedfkDL+P933KhFrUYF+qOHxOuwU2jAy5bHuGaKG8AwOH8amzPKAKgq8tpw8QSEZmBxWtMERF11tiLElNDfLuXmBrq7wJXexsomzVYviUDP2SWoEXUFVOfMdTHoO1Vg71wMLcKB85W4t6JrDNlrS63SEZ+fr5Bkcd33nkHarUad955p8F5Vq9ejb/+9a+9ErMkXfgUfEKYB37LqUS+GRJTWSV1AHSvc3dHO2x6cAK+PFyIcG8nONixzgIRUUfeeecdALoauBf74IMP8OCDD/Z6PG0jaQPdHSBqJRTVNKGgqhF+XVz85WLK5hZ8diAfAPDYjEgobDp3bxjk5YQQTwcUVDVha1oBAPADDyIyGyamTGDxcyLrE+nrjMXXDIaLvQ3cHG27dQ65TMCEME+kZJVhx3HdSKlrhvjg+ZuGw93RsMbB5MFe+FdKNlLPVLZbxY+sS0eLZOzZs8fgcV5eXs8HdBlVTSJUGi1kAjAxzAu/5VTqR1Bdiaxi3eonw1qnurZNmSAiosuztpqSbSNpQzwvSkxVN2J8F6fPXezTA/moU2kQ5euMa4f5dunYqyN98PnBfGglQGEjwzVDvLsdBxHRxTj20gRO5SOyPoIgIPGm4Vh67ZUtlTwnOhCAbjrgRw9NxEcPTcRQI1MDx4a6w9FOjrI6Fa59fQ/+c6gAGlF7RdcmAoCSuhYAuk/Bw310RWYLu1Bj6ttj53HPu6koVRoWTD9VemHEFBER9W1tI2lDPR0R6umo21bZuXtFi6hFTaMaLRf93dLcImLTb7kAgMXTI7q8EmzbdD4AmBblA0c7jnEgIvPgbxMiGnDmjg3ClEgveDkpIO/gjzJ7WzneuncsVm4/gfO1zXj2i2N4d+9ZPDNrKG4Y4XfZegxEppTUawAAIR6OCPHQrZTXlal8b/+Ug6ySOmw5WIDlcRcStRdP5SMior6tbSRtsIejvuh5R6Nrj+RX4/HPdUXN1RpdQsrd0RZP3zAU904MxVdHilBep0KAmz1ubf2QriumRHhDJgBaqfOr8RERdQYTU0Q0IPm6dK4+w3XD/TA10hufHDiHt3/OQU5ZPRZ/nI5xoe5YMXu4fpU/oq4oqdeNmArxdEBI66fgpXXNnZoyWtvUoh8Ztf9MhT4xVdWgRnmdrijuED8mpoiI+roLU/kuSkx18CHGrhMlBqv4AUBNYwte2H4CW9LyUduku/f8+epw/cIbXeHmaIv7JoXiaEEtZo1kfSkiMh8mpoiILsPeVo6Hpw3G3RNC8O4vZ/HevrM4nF+Du/+dilkj/ZA0bywLS1OXlNTpRkyFejrCy8kOjnZyNKpFFNU0IcLHucNjD+dXo60MypH8GjSpRTjYyZFVoqsvFeLpAGcFb+9ERH1dW/HzUE9HiJ1ITFU2qAEAj82IwCPXDIa9rRxbDubjjR9P40SR7h7h5mB7RQu6vDx3dLePJSIyhTWmTEhOTsaIESMwYcIES4dCRFbC1d4WT88air3PzMR9k0Ihlwn4/o9SPLH1iP4PRqLOaKsxFeLpCEEQEOKhGzXV0RuONul51fqv1aIWaXlVAIBTrdP42gqfExFR39XcIqK0TldHMMTDASGeumnfxcpm/TS9S1XW60bNDvJyhLujHext5Xhwajh+emoG/jQuGHKZgCfjouDEDy+IyMr8f3t3Ht5kmf4L/JukTfemdG8hJWwKhQrIUgsuOKBYlhGdAzgim/5g0HKG/nrUAZ1x9FIojKMXqFWOngM4DshydEDRC2XKoigCrVNka2lZbFm6UbrTLXnOH2neJs2b0kLbN2m+n+vigrx5kjy9S3u3d57nfliYcoDNz4nIkfBAb6x6LA5b/iseWo0a35wqwhtfnVZ6WuRCiiw9ppq38Vn+Lrh+86a2Gb+aC1F+zav0fjx3DYB1YYrb+IiIXN3l8hsQAvDVahDsp0WYvxe8PdUQwnyfHMuKqRA/L5vrYQFeeGvWcJx9IxELxvfr8rkTEXUUC1NERLcovn8I3po1HACw8YeL+L+HLig8I3IFDU0mlNS0ND8HIL0TfrMVU41GE7IKygEA88YZAJj7TAHAGTY+JyLqMQqsTuRTqVTtWl17rbq5MOWvlb2/rQNfiIiUxMIUEdFtmD48GisSBwMA3vjqND787hzqGo0Kz4qc2ZWKGxAAfDw1CG3+5aG9W/lOX6lEXaMJgd4emJfQFwBw4nIFrtc0ILeIK6aIiHoKywraPs35AbBeXWufK4QQKG3eyhfq72V3PxGRM2NhiojoNi2+vz/mJfSFEMCqr7Px4N8PYMuRfDQa5XtAkHu7JP2y4QOVyvzudUwbv2xYy/jV3F9qVN9eiNL5YECYH4QA/l/mJdQ2GKH1UMMQ4teFsyciou7QciKfj3TNkivyZd7EqG0wor6595SjFVNERM6KhSkH2PyciNpLpVLh1elDseqxOETpvHG1og4v/esEpr97CDX1TXbj95y8ir9/k8OG6W7K8guFvlfLLxuWd8Hzr7VdmMps7i812hAMABg/MBQAsOnHiwCAgWH+8NAwtRMRuTrrrXwWfZrzxqUy+x5Tlm18Pp4a+GrZ3JyIXAt/enWAzc+JqCPUahWejI/B/ucn4K/TY6Hz8UR2YRX2nCy0GVfXaMT/2n4c7+3Pw/7sYoVmS0qSVkxZvQtu+WWjsq4JFTcaZR8nhEBG84l8o/v2AgCMG2AuTFka4Q6O4jY+IqKeoOVNjPZt5SutMW/jC/bjaikicj0sTBERdSJvTw0Wju+HBc2Nqb8+cdXm/v3ZxahpMPeg2p/DwpQ7svQNibH6ZcPPy0PqN+Woz9Sl6zdQXFUPT40Kw/VBAIB7+gdDZdXLlv2liIh6hpatfC25oq2tfJYVU6HcxkdELoiFKSKiLjD1rigAwPe5paisa1kBs/uXlkLV/uxiCMHtfO7G8stGH6utfObbbTdAz2jexjc0WgdvTw0AIMhXi2HROmnMnZGBnT5fIiLqXhW1jaisaz69Ndh+23d5baPNzxYAcK258XkIG58TkQtiYYqIqAvcERGAgeH+aDCa8O/TRQCA2oYmpGeb/61SAVcq6nC2qFrJaZICLFv5rN8FB27eAP1Yq218FuMGhkj/5oopIiLXZ8kDof5am35R/l4e0la91m9iXKsxr5gK4VY+InJBblGYunDhAh588EHExsYiLi4ONTU1Sk+JiNzAlDjzqqmvT5j7TKWfKUZdowkxwb64f1AYAG7nczdVdY24Xmt+l7v1iinLu+JyWzQAINNSmDLYFqbGN/eZCvbTIjyA75QTEbm6lpW1vnb3WQ7OKGjVAN2ylY8rpojIFbnFkQ0LFizAG2+8gfvuuw9lZWXw8uI3bCLqelPjovBOei6+yy1BVV0jdv9yBQAw7a4oRAR64+DZEuzLLsaSBwYoPFPqLpZfJHReavh72aZgvbSVz/60pYobjThbXAUAGNU32Oa+eweGInnSIAyJCoTKuuEUERG5hOr6Jrz8+S+orKpC4H9qcfGa/Yl8Fn2CfXH8UgUuXW+9Yqp5Kx9XTBGRC+rxhalTp07B09MT9913HwAgODj4Jo8gIuocd0T4o3+YH86X1GBX1hXszykBAEy7Kxr+Xh74K04h89frqLjRCJ2Pp8Kzpe5g2Z4RGWD/+W5rK9/pK5UQwrzKKqzVqii1WoXkSXd0wWyJiKg7NDaZsOu4pQdlyxb/O2W2ZztqgN6yYoqFKSJyPYpv5fvuu+8wffp0REdHQ6VSYefOnXZj0tLSYDAY4O3tjfj4eBw9erTdz5+bmwt/f39Mnz4dd999N1atWtWJsycickylUmFq83a+NXuy0dBkQv8wPwyJCkBMiC8GhPnBaBL4PrdE4ZlSd4mNCsRr02Px2yE6u/ssPaculd2AyWTbFN+yraN/mH/XT5KIiLqVj1aDl6cMxuIxIXh5ymD8eeoQpD4eJ53wa03v4KCMUjY/JyIXpviKqZqaGgwfPhxPP/00Hn/8cbv7t23bhpSUFKxfvx7x8fFYu3YtJk+ejJycHISHhwMARowYgaamJrvHfvvtt2hqasL333+PrKwshIeH45FHHsGYMWPw0EMPyc6nvr4e9fX10u3KykoAgNFohNFo7NDHZjQaYTKZOvy4no5xkce4yHP1uDwyNALv7stDVfPpOlOHRcJkMgEAJtwZhnMlNdh3pgiJQyM6/NxKxMZVPw/OQh/si6fuiUFubr3dfVE6b2jUKjQYTSiuqkekzlu6z7KKSt+qLxUREbk+b08Nnh5vQG5uIwYNMkCj0Tgca+lHWHDddtt3GZufE5ELU7wwlZiYiMTERIf3v/3221i0aBEWLlwIAFi/fj2++uorbNiwAcuXLwcAZGVlOXx87969MXr0aOj1egDAlClTkJWV5bAwlZqaitdee83u+rlz5+Dv37F3qk0mE8rKypCXlwe1WvHFaU6DcZHHuMhz9biohUDvQE9crjQ3vB4a2IDc3FwAwCA/c3Fi35ki5Jw9C3UH+wMpEZvqap4i2FU8NGpEB3mjoOwGCq7X2hSmLFs2Wp/kR0RE7kXa9l1WCyEEVCoVTCYhFaZCuWKKiFyQ4oWptjQ0NCAzMxMrVqyQrqnVakyaNAmHDx9u13OMGTMGxcXFuH79OnQ6Hb777jv84Q9/cDh+xYoVSElJkW5XVlZCr9djwIABCAwM7ND8jUYj8vLyMHDgwDbf+XA3jIs8xkVeT4jLo3cD7x84j0Hh/nho7FDpet9+JrxxoBjldUbU+0bgrj7227va0t7YFFfW4fTVKky4M+yWPwYLyypS6hr6Xr4oKLuB/Gu1GGNo6Ylo2bIh1wiXiIjcR3SQD9QqoL7JhJKqeoQHeqOyrhFNzVvAg7liiohckFMXpkpLS2E0GhERYbvFJSIiAtnZ2e16Dg8PD6xatQr3338/hBB4+OGHMW3aNIfjvby84OXlhbS0NKSlpUnbVjQazS39UqxWq2/5sT0Z4yKPcZHn6nH5r/sG4Ep5HWaN1tt8DD4aDe4dGIY9pwrx7v5zeGRoJPr08sHgqMB2/2DZnti8vOs09mUX4//MG41JsR3fMmjNVT8HrsLcO+SaXQP0/OaT+vQyR4cTEZH78NSoEaXzweVy8+ra8EBvlDY3Pg/w9oDWw/VWlxMROXVhqrPcbLsgEVFXCvbTYu0TI2XvmzgkHHtOFWJfdjH2ZRcDAHw8Ndi0cAzi+4fc9mubTALHLpQBAA6cLb7twhR1rZgQyxaNlt4hNxqMUlNbS28RIiJyX/pgc2Eqv6wWo/oG41pzjuA2PiJyVU5dUg8NDYVGo0FRUZHN9aKiIkRGRnbpayclJeH06dM4duxYl74OEbm3x0b2xmu/HYon42PwwB1h6B3kgxuNRiz99D8orqqzGXuhtAb7c4o79PwF12tRVW9uvP7T+bJOmzd1jT7Nzc2tT1u61Lx6KsDbAzofT0XmRUREzqPlZD7zmxhsfE5Ers6pC1NarRajRo1Cenq6dM1kMiE9PR0JCQld+tppaWmIjY3FmDFjuvR1iMi9eWjUmD/OgFWPxeHjp8dib8r9uCPCHyVV9fjjp/9Bk9F8gt+urMt4ZO13WLjxGPacLGz385+60tITKq+4GiVV9qfBkfOQmtpabeWTGp/38oWqgw3yiYio57HkCkt+KLUUpvxZmCIi16R4Yaq6uhpZWVnSyXoXLlxAVlYW8vPzAQApKSn46KOP8PHHH+PMmTN49tlnUVNTI53S11W4YoqIlOCr9cAHT42Cn1aDn86X4c1vc7BmTzaWbc1CfZO5SLXh0IV2P9+pKxU2t49cuNap86XOZTl1r7CyDvVN5h6HbHxORETW9FYn8wGQtvKFcCsfEbkoxQtTGRkZGDlyJEaONPdfSUlJwciRI/HKK68AAGbPno2///3veOWVVzBixAhkZWVhz549dg3ROxtXTBGRUgaE+WPN/7gLAPC/D57HBwfOAQDm3tMXHmoVjl4sw8nLFW09heTkZfOKKcsWsJ/OszDlzEL8tPDx1EAI4PJ18xYNqfE5+0sRERFa8sGl5jxxrZpb+YjItSlemJowYQKEEHZ/Nm3aJI1ZunQpfv31V9TX1+PIkSOIj4/v8nlxxRQRKWnaXdFYMM4AAPDyUGPdEyPw+oxhSIyLAgBs/OFiu57HspXvyfgYAMDhcyxMOTOVSmW1ne9G89/NW/m4YoqIiNCSD65U3EBDkwnXappXTLEwRUQuSvHCFBERyXt56hC8NXM4dv/Pe/HoiN4AgIXjDQCAL49fkU5qc6S4sg6l1fVQq4B5CX2hUgHnSmrsmqqTc7G8E27pHWLZqsHCFBERAUCYvxe8PdUQArhSfqNlxRS38hGRi2JhygFu5SMipXlq1PjdqD4YFBEgXbs7pheG64PQYDTh06MFbT7+ZHN/qf5h/ojS+WBIZCAA4AhP53NqfZpPW7pUVgshREthqhcLU0REZF5da8kVBddrcY3Nz4nIxbEw5QC38hGRs3q6edXU5iMFaDQKh+NONfeXGhZtLkglDAgBwD5Tzs76ZL7rtY2oaTA3Qe/Tiz2miIjIzPpkPkvz81CumCIiF8XCFBGRi0kcFoXwAC+UVNfj0K/VDsdZ+ksNjdYBAO7pz8KUK9Bb/bJhWS0VEegFb0+NktMiIiInom9+s+JiaQ2u1zYCAILZY4qIXBQLUw5wKx8ROSuthxpP3dMXAPBldqXDcaeumrfyDW1eMTXWEMw+Uy5AWjFVdkPqM8VtfEREZM3yJsbxS+Zcr1IBvXxZmCIi18TClAPcykdEzmzWaD0A4HRxHQor7ItMFbWNKCgzn+oW21yY0vl6IjbK/O+f2GfKaVm27FXcaJRWvbHxORERWbPkhRPNhalgXy00apWSUyIiumUsTBERuaBInTdG9Q0CAOw5VWh3v2W1VJ9ePgiyegeV2/mcn5+Xh3Tk9+FzpQBYmCIiIluWlbQ3Gs19CNn4nIhcGQtTREQuKnFYJABgz6kiu/tOS/2lAm2uszDlGqR3wi+bC4x6Nj4nIiIr+mDbvBDix8bnROS6WJhygD2miMjZPTLUXJjK+PU6iittt/OdvGzpL6WzuT7WEIzhfXR4aEgEjCbHJ/qRsiyFKcunKIYrpoiIyEqAtyd6+XpKt7liiohcGQtTDrDHFBE5uyidN4aEeUEI++18pxysmNL5emLX0nuxYsoQ9qJwYq1XSHErHxERtWadG0J4Ih8RuTAWpoiIXNi9Bn8AwFe/XJWu3Wgw4lxJNQBgWG+d7OPIuVmvkPLUqBAR6K3gbIiIyBnZFKb8uZWPiFwXC1NERC7s3r5+AICjF8tQUlUPAPjy+BWYBBDqr0V4AH9QdUXWv2z06eXL1W1ERGTH0gAd4FY+InJtHkpPgIiIbl2EvyeG99Hh+KUK7DlViEBvDyz//BcAwO/u7gOVigUNVxRjU5hi43MiIrIXY7OVj29EEZHrYmGKiMjFPTIsEscvVeCD/XkorKyDSQCzRvfBnx4ZrPTUeryGhgY0NDTYXVer1fDw8LAZZ2E0GqXHaTQaqFQqeHp62owN8VFDLZpgNAlEB3hKj289trGxEULIN7HvqrEAoNVqb2lsU1MTTCaT7Dij0Whzu62xAODp6SkVXrtqrNFotJvXrY718PCAWq2+pbHW/18663lNJhOampocjtVoNNLrOcNYIQQaGxtt7reOjVarbXOsNeuvz64aC0D2e8OtjJX7HtHWWMvnGOi+7xFtzckddVVuaC3SXwNhbASgQqh/+74vMzfc/lhnyw1y+YG5gbmh9Vhnzw0sTDmQlpaGtLS0Nr+IiYicQeLQCKzZk4MrFeaT+Z4Yo8eqx+Kg5vavLvfWW2/By8v+XepBgwZhzpw50u0333xT+qHFZDKhrKwMwcHBUKvVMBgMWLBggTR27dq1qK2tRVPmBVTWNeJUSShWnQ4GAERHR2Px4sXS2LS0NJSXl8vOLSwsDElJSdLtDz/8ECUlJbJjg4KCkJycLN3euHEjrly5IjvW19cXL774onR78+bNuHjxouxYT09PvPzyy9Ltbdu2ITc3V3asyWTCk08+Kd3+/PPPcfr0admxAPDSSy9Jv9js3r0bWVlZDse+8MIL8PMzb3v95ptv2jzYJDk5GUFBQQCA9PR0/Pjjjw7HPvfccwgPDwcAfP/99zhw4IDDsYsWLULv3r0BAD/99BP27t3rcOyCBQtgMBgAAJmZmdi8ebP0/6W1J598EnfccQcA4MSJE9i5c6fD5505cyaGDh0KADhz5gx27NjhcOyMGTMwYsQIAEBeXh62bNnicOyUKVMwduxYAEB+fj42bdrkcOxDDz2E8ePHAwCuXr2Kjz76yOHYCRMmYMKECQCAkpISvP/++zb3W38t3XvvvXj44YcBABUVFVi7dq3D5x0zZgymTp0KAKitrcWbb77pcOyIESMwY8YMAOYfuFetWuVwbGxsLGbNmiXdbmtsW98jWnP0PUJOdHQ0nnnmGel2d32PqK+vl32cu+rK3GCtvLYBFYcvQuMfgmC/idJ15gb3yA27d++2+T9jjbmBucGaK+QG9phygKfyEZGr0Af7YmRMEADg92PdsyiVlpYGg8EAb29vxMfH4+jRo22O37FjBwYPHgxvb2/ExcXh66+/7qaZtl9ocyPbUDa0JSLqVh3NKUoJ8PaE1kPNQzKIyOWpRFtrLAmVlZXQ6XSoqKhAYGDgzR9gxWg0Ijc3F4MGDZJdfu+uGBd5jIs8xsUx69gUVzfg9JVKPHhneJcWpW7ne2JX2bZtG+bNm4f169cjPj4ea9euxY4dO5CTkyO9Y2ntxx9/xP3334/U1FRMmzYNW7ZswZo1a/Dzzz9j2LBh7XpNSxxKSkpk43Cz7RrW/6cdLcUurqzDL5cqMHFIuLQloKdv5fv111+luHC7hnlsQ0MDsrOzHX4PdPftGpavJW7XaBmrVquluJhMpm75HlFZWYmwsDCnyg23qqM5xVp35IbWTl2uQKNJYOyAlrkxN/T83GDZruboZ2TmBuaG1mOdPTdwKx8RUQ8QpfNBlM49m2S//fbbWLRoERYuXAgAWL9+Pb766its2LABy5cvtxu/bt06PPLII3jhhRcAAK+//jr27t2L9957D+vXr5d9jfr6epvlyJWVlQBsfzhqzfqHQLkfGK0fKzc2MsgXUb382nxeua1dzjxWpVK1WWA2mUzS+PaM7cjz3spYwP5zd6tjhRBt/p9oa2zr/y+d9bw3K/a7wlhLbFxlvt011vK11JHnvZ2v+570xlFHcooSuaG1OH0vqFQqp/t+z9zQvrG3+z3cUX5gbmBukBvrzLmBhSkiInJZDQ0NyMzMxIoVK6RrarUakyZNwuHDh2Ufc/jwYaSkpNhcmzx5cpv9F1JTU/Haa6/ZXT937hz8/f07NGdL74O8vLw2k70Qwq1OVWxvXNwN4+IYYyNPibhUV1d3y+t0tY7mFCVyQ2s9PVfw69wxxkYe4yLP2XNDjy9M5eTkYPbs2Ta3P/30U6lZGRERua7S0lIYjUZERETYXI+IiEB2drbsYwoLC2XHFxYWOnydFStW2BSzKisrodfrMWDAgFva5p2Xl4eBAwf2qFUGt4txkce4OMbYyFMiLpaVQq6uozmFuaHrMS6OMTbyGBd5zp4benxh6s4775ROY6iurobBYMBDDz2k7KSIiMileHl5yZ6w1NZ2jbao1epbfmxPxrjIY1wcY2zkdXdc3DX+zA3dg3FxjLGRx7jIc+bc4FZr27744gtMnDhROhaUiIhcW2hoKDQaDYqKimyuFxUVITIyUvYxkZGRHRpPRETu4VZyChER3T7FC1Pfffcdpk+fjujoaKhUKtkeH511ZOv27dtttvUREZFr02q1GDVqFNLT06VrJpMJ6enpSEhIkH1MQkKCzXgA2Lt3r8PxRETkHm4lpxAR0e1TfCtfTU0Nhg8fjqeffhqPP/643f3btm1DSkqKzZGtkydPtjmydcSIEbJHSn777beIjo4GYN7f+OOPP2Lr1q1tzsfR6Ro3O2ZTjnXne2rBuMhjXOQxLo4pERtn/DykpKRg/vz5GD16NMaOHYu1a9eipqZGOlFp3rx56N27N1JTUwEAy5YtwwMPPIC33noLU6dOxdatW5GRkYEPP/xQyQ+DiIicwM1yChERdT7FC1OJiYlITEx0eH97jmy19JBqy65du/Dwww/D29u7zXHOcLpGT8e4yGNc5DEujjn76RrdZfbs2SgpKcErr7yCwsJCjBgxAnv27JGa1+bn59vEZ9y4cdiyZQv+/Oc/46WXXsKgQYOwc+dODBs2TKkPgYiInMTNcgoREXU+xQtTbbmVY8Ad2b59OxYvXnzTcTxdo+sxLvIYF3mMi2POfrpGd1q6dCmWLl0qe9+BAwfsrs2cORMzZ87s4lkREZEraiunEBFR53PqwtStHAMup6KiAkePHsVnn31207GW0zXS0tKQlpYmbVvh6Rqdi3GRx7jIY1wcc+bTNYiIiIiIiG7GqQtTnUWn09mdrkFERERERERERMpy6sKUkke2JiUlISkpCRUVFQgKCrql7StGoxHV1dWorKzkKgMrjIs8xkUe4+KYErGxfC8UQnTL6zkry8fP3NB5GBd5jItjjI085gblMDd0PsbFMcZGHuMiz9lzg1MXpqyPbJ0xYwaAliNbu2vfd1VVFQBAr9d3y+sREbmCqqoq6HQ6paehGOYGIiJ7zA3MDURErbUnNyhemKqurkZeXp50+8KFC8jKykJwcDBiYmIUP7I1OjoaBQUFCAgIgEql6tBjLY3TCwoKOtw4vSdjXOQxLvIYF8eUiI0QAlVVVYiOju6W13NWzA2dj3GRx7g4xtjIY25QDnND52NcHGNs5DEu8pw9NyhemMrIyMCDDz4o3baciDd//nxs2rRJ8SNb1Wo1+vTpc1vPERgYyC8KGYyLPMZFHuPiWHfHxp3fDbdgbug6jIs8xsUxxkYec0P3Y27oOoyLY4yNPMZFnrPmBsULUxMmTLjpnkMe2UpERERERERE1POolZ4AERERERERERG5JxamupCXlxf++te/wsvLS+mpOBXGRR7jIo9xcYyxcU38vMljXOQxLo4xNvIYF9fEz5s8xsUxxkYe4yLP2eOiEu5+risRERERERERESmCK6aIiIiIiIiIiEgRLEwREREREREREZEiWJgiIiIiIiIiIiJFsDBFRERERERERESKYGGqi6SlpcFgMMDb2xvx8fE4evSo0lPqVqmpqRgzZgwCAgIQHh6OGTNmICcnx2ZMXV0dkpKSEBISAn9/f/zud79DUVGRQjNWxurVq6FSqZCcnCxdc+e4XL58GU899RRCQkLg4+ODuLg4ZGRkSPcLIfDKK68gKioKPj4+mDRpEnJzcxWccdczGo34y1/+gn79+sHHxwcDBgzA66+/DutzK9wxLq6KuYG5oT2YG2wxN9hjbuhZ3D03AMwP7cX80IK5wZ5L5wZBnW7r1q1Cq9WKDRs2iFOnTolFixaJoKAgUVRUpPTUus3kyZPFxo0bxcmTJ0VWVpaYMmWKiImJEdXV1dKYJUuWCL1eL9LT00VGRoa45557xLhx4xScdfc6evSoMBgM4q677hLLli2TrrtrXMrKykTfvn3FggULxJEjR8T58+fFN998I/Ly8qQxq1evFjqdTuzcuVMcP35c/Pa3vxX9+vUTN27cUHDmXWvlypUiJCRE7N69W1y4cEHs2LFD+Pv7i3Xr1klj3DEuroi5gbmhPZgbbDE3yGNu6DmYG8yYH26O+aEFc4M8V84NLEx1gbFjx4qkpCTpttFoFNHR0SI1NVXBWSmruLhYABAHDx4UQghRXl4uPD09xY4dO6QxZ86cEQDE4cOHlZpmt6mqqhKDBg0Se/fuFQ888ICUXNw5Ln/605/Evffe6/B+k8kkIiMjxZtvvildKy8vF15eXuLTTz/tjikqYurUqeLpp5+2ufb444+LOXPmCCHcNy6uiLnBHnODLeYGe8wN8pgbeg7mBnnMD7aYH2wxN8hz5dzArXydrKGhAZmZmZg0aZJ0Ta1WY9KkSTh8+LCCM1NWRUUFACA4OBgAkJmZicbGRps4DR48GDExMW4Rp6SkJEydOtXm4wfcOy5ffPEFRo8ejZkzZyI8PBwjR47ERx99JN1/4cIFFBYW2sRGp9MhPj6+R8dm3LhxSE9Px9mzZwEAx48fx6FDh5CYmAjAfePiapgb5DE32GJusMfcII+5oWdgbnCM+cEW84Mt5gZ5rpwbPBR99R6otLQURqMRERERNtcjIiKQnZ2t0KyUZTKZkJycjPHjx2PYsGEAgMLCQmi1WgQFBdmMjYiIQGFhoQKz7D5bt27Fzz//jGPHjtnd585xOX/+PD744AOkpKTgpZdewrFjx/DHP/4RWq0W8+fPlz5+ua+tnhyb5cuXo7KyEoMHD4ZGo4HRaMTKlSsxZ84cAHDbuLga5gZ7zA22mBvkMTfIY27oGZgb5DE/2GJ+sMfcIM+VcwMLU9TlkpKScPLkSRw6dEjpqSiuoKAAy5Ytw969e+Ht7a30dJyKyWTC6NGjsWrVKgDAyJEjcfLkSaxfvx7z589XeHbK2b59OzZv3owtW7Zg6NChyMrKQnJyMqKjo906LuT6mBtaMDc4xtwgj7mBejLmhxbMD/KYG+S5cm7gVr5OFhoaCo1GY3cSQlFRESIjIxWalXKWLl2K3bt3Y//+/ejTp490PTIyEg0NDSgvL7cZ39PjlJmZieLiYtx9993w8PCAh4cHDh48iHfeeQceHh6IiIhwy7gAQFRUFGJjY22uDRkyBPn5+QAgffzu9rX1wgsvYPny5XjiiScQFxeHuXPn4r//+7+RmpoKwH3j4mqYG2wxN9hibnCMuUEec0PPwNxgj/nBFvODPOYGea6cG1iY6mRarRajRo1Cenq6dM1kMiE9PR0JCQkKzqx7CSGwdOlS/Otf/8K+ffvQr18/m/tHjRoFT09Pmzjl5OQgPz+/R8dp4sSJOHHiBLKysqQ/o0ePxpw5c6R/u2NcAGD8+PF2xwKfPXsWffv2BQD069cPkZGRNrGprKzEkSNHenRsamtroVbbfqvWaDQwmUwA3Dcuroa5wYy5QR5zg2PMDfKYG3oG5oYWzA/ymB/kMTfIc+ncoGjr9R5q69atwsvLS2zatEmcPn1aLF68WAQFBYnCwkKlp9Ztnn32WaHT6cSBAwfE1atXpT+1tbXSmCVLloiYmBixb98+kZGRIRISEkRCQoKCs1aG9ckaQrhvXI4ePSo8PDzEypUrRW5urti8ebPw9fUV//znP6Uxq1evFkFBQWLXrl3il19+EY8++qhTHG/alebPny969+4tHfv6+eefi9DQUPHiiy9KY9wxLq6IuYG5oSOYG8yYG+QxN/QczA1mzA/tx/zA3OCIK+cGFqa6yLvvvitiYmKEVqsVY8eOFT/99JPSU+pWAGT/bNy4URpz48YN8dxzz4levXoJX19f8dhjj4mrV68qN2mFtE4u7hyXL7/8UgwbNkx4eXmJwYMHiw8//NDmfpPJJP7yl7+IiIgI4eXlJSZOnChycnIUmm33qKysFMuWLRMxMTHC29tb9O/fX7z88suivr5eGuOOcXFVzA3MDe3F3NCCucEec0PP4u65QQjmh45gfjBjbrDnyrlBJYQQ3b1Ki4iIiIiIiIiIiD2miIiIiIiIiIhIESxMERERERERERGRIliYIiIiIiIiIiIiRbAwRUREREREREREimBhioiIiIiIiIiIFMHCFBERERERERERKYKFKSIiIiIiIiIiUgQLU0REREREREREpAgWpoh6EIPBgLVr1yo9DSIiciLMDURE1BpzAzkTFqaIbtGCBQswY8YMAMCECROQnJzcba+9adMmBAUF2V0/duwYFi9e3G3zICIiW8wNRETUGnMDUds8lJ4AEbVoaGiAVqu95ceHhYV14myIiMgZMDcQEVFrzA3Uk3DFFNFtWrBgAQ4ePIh169ZBpVJBpVLh4sWLAICTJ08iMTER/v7+iIiIwNy5c1FaWio9dsKECVi6dCmSk5MRGhqKyZMnAwDefvttxMXFwc/PD3q9Hs899xyqq6sBAAcOHMDChQtRUVEhvd6rr74KwH5Jbn5+Ph599FH4+/sjMDAQs2bNQlFRkXT/q6++ihEjRuCTTz6BwWCATqfDE088gaqqqq4NGhFRD8fcQERErTE3EMljYYroNq1btw4JCQlYtGgRrl69iqtXr0Kv16O8vBy/+c1vMHLkSGRkZGDPnj0oKirCrFmzbB7/8ccfQ6vV4ocffsD69esBAGq1Gu+88w5OnTqFjz/+GPv27cOLL74IABg3bhzWrl2LwMBA6fWef/55u3mZTCY8+uijKCsrw8GDB7F3716cP38es2fPthl37tw57Ny5E7t378bu3btx8OBBrF69uouiRUTkHpgbiIioNeYGInncykd0m3Q6HbRaLXx9fREZGSldf++99zBy5EisWrVKurZhwwbo9XqcPXsWd9xxBwBg0KBB+Nvf/mbznNb7zg0GA9544w0sWbIE77//PrRaLXQ6HVQqlc3rtZaeno4TJ07gwoUL0Ov1AIB//OMfGDp0KI4dO4YxY8YAMCeiTZs2ISAgAAAwd+5cpKenY+XKlbcXGCIiN8bcQERErTE3EMnjiimiLnL8+HHs378f/v7+0p/BgwcDML/bYDFq1Ci7x/773//GxIkT0bt3bwQEBGDu3Lm4du0aamtr2/36Z86cgV6vl5ILAMTGxiIoKAhnzpyRrhkMBim5AEBUVBSKi4s79LESEVH7MDcQEVFrzA3k7rhiiqiLVFdXY/r06VizZo3dfVFRUdK//fz8bO67ePEipk2bhmeffRYrV65EcHAwDh06hGeeeQYNDQ3w9fXt1Hl6enra3FapVDCZTJ36GkREZMbcQERErTE3kLtjYYqoE2i1WhiNRptrd999Nz777DMYDAZ4eLT/Sy0zMxMmkwlvvfUW1Grzosbt27ff9PVaGzJkCAoKClBQUCC9+3H69GmUl5cjNja23fMhIqJbw9xAREStMTcQ2eNWPqJOYDAYcOTIEVy8eBGlpaUwmUxISkpCWVkZfv/73+PYsWM4d+4cvvnmGyxcuLDN5DBw4EA0Njbi3Xffxfnz5/HJJ59IzQ2tX6+6uhrp6ekoLS2VXao7adIkxMXFYc6cOfj5559x9OhRzJs3Dw888ABGjx7d6TEgIiJbzA1ERNQacwORPRamiDrB888/D41Gg9jYWISFhSE/Px/R0dH44YcfYDQa8fDDDyMuLg7JyckICgqS3tGQM3z4cLz99ttYs2YNhg0bhs2bNyM1NdVmzLhx47BkyRLMnj0bYWFhdk0QAfPS2l27dqFXr164//77MWnSJPTv3x/btm3r9I+fiIjsMTcQEVFrzA1E9lRCCKH0JIiIiIiIiIiIyP1wxRQRERERERERESmChSkiIiIiIiIiIlIEC1NERERERERERKQIFqaIiIiIiIiIiEgRLEwREREREREREZEiWJgiIiIiIiIiIiJFsDBFRERERERERESKYGGKiIiIiIiIiIgUwcIUEREREREREREpgoUpIiIiIiIiIiJSBAtTRERERERERESkiP8PnW+YXOo3oZkAAAAASUVORK5CYII=", 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