{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Half-cell OCP fitting\n", "\n", "In this example, we show how to fit the half-cell Open-Circuit Potential to pseudo-OCP data. Our recommended workflow for fitting OCPs is to first fit the MSMR model to the data and then create an interpolant to find a function $U(x)$, where $x$ is the stoichiometry. For comparison, we also show how to fit a function $U(x)$ directly to pseudo-OCP data." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2024-03-28T15:29:08.247751Z", "start_time": "2024-03-28T15:29:07.442973Z" } }, "outputs": [], "source": [ "import ionworkspipeline as iwp\n", "import numpy as np\n", "import pandas as pd\n", "import pybamm\n", "import matplotlib.pyplot as plt\n", "from scipy.signal import savgol_filter" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Pre-process and visualize the data\n", "First we load and pre-process the data" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2024-03-28T15:29:08.500760Z", "start_time": "2024-03-28T15:29:08.248678Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/robertwtimms/miniconda3/envs/iwp/lib/python3.11/site-packages/numpy/lib/function_base.py:1242: RuntimeWarning: divide by zero encountered in divide\n", " a = -(dx2)/(dx1 * (dx1 + dx2))\n", "/Users/robertwtimms/miniconda3/envs/iwp/lib/python3.11/site-packages/numpy/lib/function_base.py:1243: RuntimeWarning: divide by zero encountered in divide\n", " b = (dx2 - dx1) / (dx1 * dx2)\n", "/Users/robertwtimms/miniconda3/envs/iwp/lib/python3.11/site-packages/numpy/lib/function_base.py:1244: RuntimeWarning: divide by zero encountered in divide\n", " c = dx1 / (dx2 * (dx1 + dx2))\n", "/Users/robertwtimms/miniconda3/envs/iwp/lib/python3.11/site-packages/numpy/lib/function_base.py:1250: RuntimeWarning: invalid value encountered in add\n", " out[tuple(slice1)] = a * f[tuple(slice2)] + b * f[tuple(slice3)] + c * f[tuple(slice4)]\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Load data\n", "raw_ocp_data = pd.read_csv(\"anode_ocp_delithiation.csv\", comment=\"#\")\n", "q = raw_ocp_data[\"Capacity [A.h]\"].values\n", "U = raw_ocp_data[\"Voltage [V]\"].values\n", "\n", "# Smooth\n", "q_smoothed = savgol_filter(q, window_length=11, polyorder=1)\n", "U_smoothed = savgol_filter(U, window_length=11, polyorder=1)\n", "dQdU_smoothed = -np.gradient(q_smoothed, U_smoothed)\n", "\n", "# Store in a dataframe\n", "ocp_data = pd.DataFrame({\"Capacity [A.h]\": q_smoothed, \"Voltage [V]\": U_smoothed})\n", "ocp_data = iwp.data_fits.preprocess.sort_capacity_and_ocp(ocp_data)\n", "# Maximum capacity, will be used later as an initial guess for the electrode capacity\n", "Q_max_data = ocp_data[\"Capacity [A.h]\"].max()\n", "\n", "# Plot\n", "_, ax = plt.subplots(1, 2, figsize=(10, 5))\n", "ax[0].plot(q_smoothed, U_smoothed, \"-x\")\n", "ax[0].set_xlabel(\"Capacity [A.h]\")\n", "ax[0].set_ylabel(\"Voltage [V]\")\n", "ax[1].plot(dQdU_smoothed, U_smoothed, \"-x\")\n", "ax[1].set_xlabel(\"dQ/dU [A.h/V]\")\n", "ax[1].set_ylabel(\"Voltage [V]\")\n", "ax[1].set_xlim(0, 200)\n", "plt.tight_layout()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Fit the MSMR model to data\n", "\n", "We begin by setting up initial guesses for our MSMR parameters" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2024-03-28T15:29:08.507830Z", "start_time": "2024-03-28T15:29:08.502678Z" } }, "outputs": [], "source": [ "# Initial guess of Graphite from Verbrugge et al 2017 J. Electrochem. Soc. 164 E3243\n", "msmr_param_init = {\n", " \"U0_p_0\": 0.088,\n", " \"X_p_0\": 0.43,\n", " \"w_p_0\": 0.086,\n", " \"U0_p_1\": 0.13,\n", " \"X_p_1\": 0.24,\n", " \"w_p_1\": 0.080,\n", " \"U0_p_2\": 0.14,\n", " \"X_p_2\": 0.15,\n", " \"w_p_2\": 0.72,\n", " \"U0_p_3\": 0.17,\n", " \"X_p_3\": 0.055,\n", " \"w_p_3\": 2.5,\n", " \"U0_p_4\": 0.21,\n", " \"X_p_4\": 0.067,\n", " \"w_p_4\": 0.095,\n", " \"U0_p_5\": 0.36,\n", " \"X_p_5\": 0.055,\n", " \"w_p_5\": 6.0,\n", " \"Number of reactions in positive electrode\": 6,\n", " \"Positive electrode lower excess capacity [A.h]\": 0.0,\n", " \"Positive electrode capacity [A.h]\": Q_max_data,\n", " \"Ambient temperature [K]\": 298.15,\n", "}" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We can plot these against the data and, if required, manually adjust them to get a better starting point. For this example, let's keep the Graphite parameters as our initial guess" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2024-03-28T15:29:08.663454Z", "start_time": "2024-03-28T15:29:08.509870Z" } }, "outputs": [ { "data": { "text/plain": [ "(0.0, 50.0)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = iwp.objectives.plot_each_species_msmr(\n", " ocp_data, msmr_param_init, \"positive\", voltage_limits=(0, 1.5)\n", ")\n", "ax[1].set_xlim(0, 50)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Now we can set up the objective and parameters to fit, run the data fit and plot the results" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2024-03-28T15:29:13.425062Z", "start_time": "2024-03-28T15:29:08.668822Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Pass in the lithiation function, and fit the electrode capacity and lower excess\n", "# capacity by making them Parameter objects\n", "n_species = msmr_param_init[\"Number of reactions in positive electrode\"]\n", "theta_half_cell = iwp.objectives.get_theta_half_cell_msmr(n_species, \"positive\")\n", "msmr_params = {\n", " \"Positive electrode lithiation\": theta_half_cell,\n", " \"Ambient temperature [K]\": 298.15,\n", " \"Positive electrode capacity [A.h]\": iwp.Parameter(\n", " \"Q\", initial_value=Q_max_data, bounds=(0.9 * Q_max_data, 1.2 * Q_max_data)\n", " ),\n", " \"Positive electrode lower excess capacity [A.h]\": (\n", " iwp.Parameter(\n", " \"Q_lowex\", initial_value=0.01 * Q_max_data, bounds=(0, 0.01 * Q_max_data)\n", " )\n", " ),\n", "}\n", "# Add Parameter objects for the MSMR parameters X_j, U0_j, and w_j\n", "for k, v in msmr_param_init.items():\n", " if \"X\" in k:\n", " bounds = (0, 1)\n", " elif \"U0_\" in k:\n", " # allow a 500 mV variation either way\n", " bounds = (max(0, v - 0.5), v + 0.5)\n", " elif \"w_\" in k:\n", " bounds = (1e-2, 100)\n", " else:\n", " continue\n", " msmr_params[k] = iwp.Parameter(k, initial_value=v, bounds=bounds)\n", "\n", "# Calculate dUdQ cutoff to prevent overfitting to extreme dUdQ values\n", "dUdq_cutoff = iwp.data_fits.util.calculate_dUdQ_cutoff(ocp_data)\n", "\n", "# Set up objective and fit\n", "objective = iwp.objectives.MSMRHalfCell(\n", " \"positive\", ocp_data, options={\"dUdQ cutoff\": dUdq_cutoff}\n", ")\n", "ocp_msmr = iwp.DataFit(objective, parameters=msmr_params)\n", "\n", "# Run the fit\n", "params_fit_msmr = ocp_msmr.run({})\n", "\n", "# Plot results\n", "fig_ax = ocp_msmr.plot_fit_results()\n", "axes = fig_ax[\"MSMRHalfCell\"][0][1]\n", "_ = axes[2].set_xlim(0, 100)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "and look at the fitted parameters" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2024-03-28T15:29:13.429934Z", "start_time": "2024-03-28T15:29:13.426404Z" } }, "outputs": [ { "data": { "text/plain": [ "{'Positive electrode lithiation': functools.partial(, 6, 'positive', 'Xj', None),\n", " 'Ambient temperature [K]': 298.15,\n", " 'Positive electrode capacity [A.h]': 4.718939185172978,\n", " 'Positive electrode lower excess capacity [A.h]': 0.045799225594345044,\n", " 'U0_p_0': 0.09137801339857089,\n", " 'X_p_0': 0.383109163462868,\n", " 'w_p_0': 0.12041694972615345,\n", " 'U0_p_1': 0.13375446898263466,\n", " 'X_p_1': 0.1936341776961565,\n", " 'w_p_1': 0.058202771937910396,\n", " 'U0_p_2': 0.21896691047540803,\n", " 'X_p_2': 0.04590304235055621,\n", " 'w_p_2': 0.12125734099436841,\n", " 'U0_p_3': 0.13858935134497624,\n", " 'X_p_3': 0.15382780598127788,\n", " 'w_p_3': 0.5197264636868925,\n", " 'U0_p_4': 0.19954339585034767,\n", " 'X_p_4': 0.10514285707950048,\n", " 'w_p_4': 1.0672816967608787,\n", " 'U0_p_5': 0.3613334951674475,\n", " 'X_p_5': 0.13905920957280327,\n", " 'w_p_5': 2.7531117539920658}" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "params_fit_msmr" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "This MSMR fit can then be used to generate an interpolant for the OCP either manually or using the `OCPMSMRInterpolant` pipeline element" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2024-03-28T15:29:13.440405Z", "start_time": "2024-03-28T15:29:13.431503Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/robertwtimms/miniconda3/envs/iwp/lib/python3.11/site-packages/pybamm/expression_tree/functions.py:152: RuntimeWarning: overflow encountered in exp\n", " return self.function(*evaluated_children)\n" ] } ], "source": [ "voltage_limits = (0, 1.5)\n", "ocp_msmr_interpolant = iwp.calculations.OCPMSMRInterpolant(\"positive\", voltage_limits)\n", "params_fit_msmr_interpolant = ocp_msmr_interpolant.run(params_fit_msmr)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We can see in the returned parameter values that we have a \"Positive electrode OCP [V]\" function as well as the original data. " ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2024-03-28T15:29:13.444093Z", "start_time": "2024-03-28T15:29:13.441020Z" } }, "outputs": [ { "data": { "text/plain": [ "{'Positive electrode OCP [V]': .U(sto)>,\n", " 'Positive electrode OCP data [V]': array([[1.01976310e+00, 1.01976088e+00, 1.01975866e+00, ...,\n", " 1.42521593e-08, 1.42219651e-08, 1.41918349e-08],\n", " [0.00000000e+00, 1.50015002e-04, 3.00030003e-04, ...,\n", " 1.49969997e+00, 1.49984998e+00, 1.50000000e+00]])}" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "params_fit_msmr_interpolant" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We can access the \"data\" generated from the MSMR function as follows:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2024-03-28T15:29:13.447756Z", "start_time": "2024-03-28T15:29:13.445439Z" } }, "outputs": [], "source": [ "theta_U = ocp_msmr_interpolant.fit_results_[\"interpolant\"]\n", "theta = theta_U[0] # stoichiometry\n", "U = theta_U[1] # potential" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Fit OCP as a function of stoichiometry\n", "\n", "Now we directly fit a function $U(x)$ to the pseudo-OCP data.\n", "\n", "First we define the function and initial guesses for the parameters." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2024-03-28T15:29:13.452540Z", "start_time": "2024-03-28T15:29:13.448607Z" } }, "outputs": [], "source": [ "def U_half_cell(theta):\n", " u00 = pybamm.Parameter(\"u00_pos\")\n", " u10 = pybamm.Parameter(\"u10_pos\")\n", " u11 = pybamm.Parameter(\"u11_pos\")\n", " u20 = pybamm.Parameter(\"u20_pos\")\n", " u21 = pybamm.Parameter(\"u21_pos\")\n", " u22 = pybamm.Parameter(\"u22_pos\")\n", " u30 = pybamm.Parameter(\"u30_pos\")\n", " u31 = pybamm.Parameter(\"u31_pos\")\n", " u32 = pybamm.Parameter(\"u32_pos\")\n", " u40 = pybamm.Parameter(\"u40_pos\")\n", " u41 = pybamm.Parameter(\"u41_pos\")\n", " u42 = pybamm.Parameter(\"u42_pos\")\n", "\n", " u_eq = (\n", " u00\n", " + u10 * pybamm.exp(-u11 * theta)\n", " + u20 * pybamm.tanh(u21 * (theta - u22))\n", " + u30 * pybamm.tanh(u31 * (theta - u32))\n", " + u40 * pybamm.tanh(u41 * (theta - u42))\n", " )\n", "\n", " return u_eq\n", "\n", "\n", "ocp_param_init = {\n", " \"u00_pos\": 0.2,\n", " \"u10_pos\": 2,\n", " \"u11_pos\": 30,\n", " \"u20_pos\": -0.1,\n", " \"u21_pos\": 30,\n", " \"u22_pos\": 0.1,\n", " \"u30_pos\": -0.1,\n", " \"u31_pos\": 30,\n", " \"u32_pos\": 0.3,\n", " \"u40_pos\": -0.1,\n", " \"u41_pos\": 30,\n", " \"u42_pos\": 0.6,\n", "}" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Then we set up our `DataFit` object and fit the data" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2024-03-28T15:29:13.772717Z", "start_time": "2024-03-28T15:29:13.453503Z" } }, "outputs": [ { "data": { "image/png": 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ms7k7VBGRPq3zh5gLFizg/PPPZ/fu3bz9ygo8Ha20YfBOxnoaGhrcHaqISI8oJxSRnlDR/TUdjXw6Gvvc/+4uHnw/h/1ltV2uq+GP9CcOh4Py8nIKCwspLy8/K5/KX3/99RiGgWEYeHt7ExUVxfz581mxYgV2u93l3/PCCy8QGhrae4FKr+n8IWZxcTGZmZkcPHiQoMBABvm2ARASn4zdbmfNmjUUFRW5OWIREdcpJxQRV+lM99d0NPKpqakhLCyMmFB/iqoasVY2whDU8Ef6HXc2Bbzooov4f//v/9HW1kZJSQmrV6/mZz/7GW+++SbvvvsuXl56BA1kHYlobW0tW7du5ejRo1xwwQWcf/75FL64HmteLV8eLCXeKMfPz4+XX36Zq6++mpiYGDdHLiLSPeWEIuIqrXR/jdlsxmQykZubi8PhwBLqD4C1qkENf6Tf6WgKGBQUxIwZM1iwYAEzZswgKCiI7OxsrFZrr/59X19foqOjiY2NJTU1ld/85je88847rFq1ihdeeAGAZcuWMXbsWAICAoiLi+O2226jtrZ9Z8m6detYvHgxVVVVzlXz3/3udwC89NJLpKWlERQURHR0NFdddRWlpaW9+n7c4cknnyQhIQE/Pz+mTJnCpk2bTnp/ZWUlP/7xj7FYLPj6+jJixAg++OCDsxRtV35+fjgcDjZv3oy/vz9xcXFMmjSJXbt2UXV4DwBtgYOora0lKiqK2tpa1q5d2+v/vRQROV3KCUWkJ1R0f41hGKSkpFBSUkJWVhZhvu3Xd+wv5OOPP1bDH+k3+mpTwDlz5jB+/HjeeustADw8PHjiiSfYtWsXL774ImvWrOGXv/wlANOnT+fxxx8nODgYq9WK1WrlzjvvBNrHqT344IN8+eWXvP322+Tn53P99def1ffS215//XWWLFnCfffdx5YtWxg/fjwXXnjhCT9caG5uZv78+eTn5/Pmm2+yd+9ennvuOWJjY89y5O3MZjOtra3s378fi8WCYRjU1NTw/vvvkxARAIBvxGDGjRtHREQEbW1ttLW1qTGRiPRpBw4cYNOmTZSUlCgnFBGXaG/ncVgsFtLS0vjss8/I3WkD4ti69yCRRw4zYsQId4cn4pKO87SpqanHJAQdDWAyMzOx2WyEh4ef1dhGjRrF9u3bAfj5z3/uvJ6QkMBDDz3ELbfcwlNPPYWPjw8hISEYhkF0dHSX33HDDTc4/3NiYiJPPPEE6enp1NbWEhgYeFbeR29btmwZN910E4sXLwZg+fLlrFy5khUrVvDrX//6mPtXrFiBzWZj/fr1zlnkCQkJJ/0bTU1NNDU1Ob+vrq4+Y/EbhkFCQgJbt26loKCAmpoa1qxZg8PhIGXIIChqobLFi8DAIOLi4ggLC8MwDOrq6tzy30sREVe88sorREZGMn/+fI0LExGXaKX7JPz8/Jg4aigAgYPat70mJCSclW25Iqfr600Bv86dDWAcDofzg4CPP/6YuXPnEhsbS1BQENdccw3l5eVdzqAfz+bNm/nWt77FkCFDCAoK4vzzzwfg8OHDvR7/2dDc3MzmzZuZN2+e85qHhwfz5s1jw4YNx33Nu+++y7Rp0/jxj39MVFQUY8aM4Q9/+ANtbW0n/DtLly4lJCTE+RUXF3dG30d8fDzDhw+nsbGRnTt3smrVKqqqqgj3dWAA9S12apodWK1Whg0bRmBgIDU1NWpMJCJ91lVXXcWsWbMoKChQPigiLlHRfRwd23Kjo6O5aNYUAI7Wt2E2mzWXUfqNzk0Bj8edDWB2797N0KFDyc/P55JLLmHcuHH8+9//ZvPmzTz55JNAe9F5InV1dVx44YUEBwfz8ssvk5WVxX/+859uX9eflJWV0dbWRlRUVJfrUVFRFBcXH/c1Bw4c4M0336StrY0PPviAe+65h8cee4yHHnrohH/nrrvuoqqqyvlVUFBwRt+H2Wxm8ODBxMTEMHfuXEJDQwkMDCR5ZBLRIe3/3dt1uJSGhgYmTZpEY2MjLS0takwkIn1WYmIikydPVj4oIi5T0X0cncfcxHzVSK2stonmVrvmMkq/8fWmgJ25swHMmjVr2LFjB5dffjmbN2/Gbrfz2GOPMXXqVEaMGHHM2CgfH59jVmr37NlDeXk5f/zjH5k5cyajRo0akE3UesputzNo0CCeffZZJk2axMKFC/ntb3/L8uXLT/gaX19fgoODu3ydSR19MkpLS7Hb7YwbNw6Hw8HLL7+MR315e9z+7X0GAgICKCoqIiQkRI2JRKRPUz4oIj2hovs4Om/LDQ/wwcfLA4cDSqq7btfV9kfpy77eFLCiooLW1lYqKirIyso6Kw1gmpqaKC4uprCwkC1btvCHP/yByy67jEsuuYRrr72W4cOH09LSwl//+lcOHDjASy+9dEyBmJCQQG1tLRkZGZSVlVFfX8+QIUPw8fFxvu7dd9/lwQcf7LX34Q4RERF4enpSUlLS5XpJSckx59s7WCwWRowYgaenp/NacnIyxcXFbt0B0NEnwzAMKioqcDgcVFRUEEj7MzQyMQVfX1/eeecdGhoamDJlihoTiUifp3xQRFylovs4Om/LNQyDmK+2QBZVNjivd75PpK/qKHZqamrIzMxk1apVZGZmUlNTQ1paWq83gFm9ejUWi4WEhAQuuugi1q5dyxNPPME777yDp6cn48ePZ9myZfzpT39izJgxvPzyyyxdurTL75g+fTq33HILCxcuJDIykocffpjIyEheeOEF3njjDVJSUvjjH//Io48+2qvv5Wzz8fFh0qRJZGRkOK/Z7XYyMjKYNm3acV9z3nnnkZeXh91ud17bt28fFosFHx+fXo/5ZCwWC3PnzuU73/mOc2vmsKgQANZ8sZ2//e1vHDlyhEsuuURzukWkX1A+KCKuUvfy4+i8LTc9PR1LiD/55fVYqxo1l1H6HYvFQnR0NDabjcbGRvz8/DCbzb2+kvjCCy84Z3GfzB133MEdd9zR5do111zT5funn36ap59+usu1RYsWsWjRoi7XBtq5uiVLlnDdddeRlpbG5MmTefzxx6mrq3N2M7/22muJjY11flBx66238re//Y2f/exn/OQnPyE3N5c//OEP/PSnP3Xn23AyDIPRo0djNpv57LPPqC09AiRQUtNEg1cDEyZMOOYMu4hIX6R8UER6QkX3cXRsy83OziYrK4tw//YNAVv35RNQlkNDQwPp6ena/ij9hmEYGr/UDy1cuJCjR49y7733UlxczIQJE1i9erWzMD18+DAeHv/bsBQXF8d///tf7rjjDsaNG0dsbCw/+9nP+NWvfuWut3BCfn5+TB4znE+3tOIfHsMvfnQJeXl5ZGdnn5VdGCIip+rAgQM0NTVRWlrqPDojInIyKrpPoPOs7iP7aoBoNny5B2+TVbO6ReSsuf3227n99tuP+7N169Ydc23atGls3Lixl6M6dZ2nQ4wfNppHt6yjtLaFsLD2ZmpZWVnOnyuRFZG+SHO6RaSndKa7G35+foxJjAUgKmGkZnWLiJyGztMhOkaGNbXaqahvUTdgEekXNKdbRHpKRfcJdF6NmTN1IgBlDQ7N6hYROQ2dp0P4enkSEegL/K9RpboBi0hfpzndItJTKrpPoPNqTGyYCQBrVXtSqNUYEZFT03k6BOCcDrHzQCHl5eVUV1d3uU9EpC9SLigiPaEz3SfQeTXG07/9E8zK+hYamtvw9/HUaoyIyCnoPB1i8ODBeLW0F9/Zu/djqsijoKCAyMhIdQMWkT5PuaCIuEor3SfQeTUm2M+bIN/2zycKK+ud1zvfJyIi3euYDrF7925effVVwnzbm6WZwmMxmUw0NjbS0NBAcXGxmyMVETk55YIi4ioV3SfQeTXG4XAQG+YPwJd5RygrK2Pfvn2azSgicgqio6Px9/fHz88Pk9ECwJ78IgzDYNGiRSQnJ+ucpIj0WTabDbvdrjndIuIybS8/gc6zuletWoVXUxvgwWebd5G/4RANDQ1ccsklGmkjItJDNpsNf39/Fi1axLs7Snnv8H4MUyhz5pyHYRj4+/uTmZmJzWbTfHkR6XMyMjJobGwkMDCQb3zjG8oFRaRbWuk+CYvFQlxcHFu2bMGzsRKAGocPw4YNIzU1VaMiRE7BBRdcwM9//nN3hyFu1HH+MTg4mERLe1Fd2Wh3Jq46JykiIiIDiVa6T8LhcFBeXs78+fMJqjDx5brDeAYP4rLLpgCQlZXlHCumTzlFurr++ut58cUXj7n+xRdfkJyc7Pw+ISGBn//85yrEzyGde2YMCm4fGVZa878CW+ckRaQvmzt3LkOGDCE7O1t5oIi4RCvdJ9ExNmzEiBGMHBwJQGldG4ZhaFSEiAsuuugirFZrl69JkyY5VzLl3NS5Z0bkV3O6K+pbaG6143A4dE5SRPo0s9mMh4eH8kARcZmK7pPoPDZs8FeN1I5UNDh/ri2QIifn6+tLdHR0l6+5c+c6V7UvuOACDh06xB133OH8MEsGvo6eGSUlJeTu2oaXR/v/v+8vLCUrK4uSkhJSUlL03wcR6dOUB4qIq7S9/CQ6b4GMCwsEoKy2icaWNvy8PbUFUs46h8NBQ0ubW/62v7fnGS+C3nrrLcaPH8+PfvQjbrrppjP6u6Vvs1gspKWlkZOTQ6CXncpmg48/zyIlykRaWhoWi8XdIYqInJTyQBFxlYruk+i8BTItLY0gXy9qmlo5UtHAsMgAbYGUs66hpY2Ue//rlr+d88CFmHx69sh4//33CQwMdH6/YMGCLj83m814enoSFBREdHT0GYlT+g+LxUJ0dDSxOz6hsriOmMRRzJkyXCvcItLn6SiMiPSEiu6T6Dw2LDs7m+hgH2qOtvL5tt0cNCppaGggPT1dCaLICcyePZunn37a+X1AQACLFi1yY0TS1xiGgSUskF3FdTTgo+epiPR5Bw4coKmpidLSUtLS0vTcEpFuqejuRscWyM8++4wmWwsQygfrNjLWVMWIESPcHZ6cY/y9Pcl54EK3/e2eCggIYPjw4b0QjQwkkUE+QPvxHRGRvu6VV14hMjKS+fPn6yiMiLhERbeL/Pz8SLIEcfiInZGp07ltzlDy8vLIzs7W+UM5awzD6PEW777Ox8eHtjb3nFOXvsEc0F502+qa3RyJiEj3rrrqKpqamigoKCAqKko5oIh0S93Lu+FwOJwzGKeNHwmArdnAbDaTnp5OVFQUOTk5OBwON0cq0j8lJCTw6aefUlhYSFlZmbvDETcwB7SPDStX0S0i/UBiYiKTJ09WDigiLlPR3Y2OWd1JSUkMDjMB/xsbplndIqfvgQceID8/n2HDhhEZGenucMQNwr9a6a5Q0S0i/YRyQBHpiYG1T7UXdJ3V3f4ZhWZ1i3TvhRdeOO71devWdfl+6tSpfPnll70fkPRZ2l4uIv2RckARcZVWurvRdVZ3+0p3x6zujuud7xMRkZ7pKLq1vVxE+hPlgCLiKhXd3eg8qzvIz5Mg3/bNAUcqGjSjUUTkDDB32l6us5Ei0h8oBxSRntD28m5oVreISO/qKLpb7Q6qG1oJMXm7OSIRkRPTnG4R6SmtdLugY1Z3fn4+TbYiAD5Yt5EvvvhC53hERE6Tn7cnAT7tc+DL6zSrW0T6tldeeYVPP/2UuLg4jQsTEZf0iaL7ySefJCEhAT8/P6ZMmcKmTZtOeO8LL7yAYRhdvs7WWZr2Wd3tW4hGpE7ntttuIyEhgezsbKxW61mJQc5N2nJ7+vRv2LeZA7/aYl6vc90i4hp35Y9XXXUVs2bNoqCgQPmfiLjE7UX366+/zpIlS7jvvvvYsmUL48eP58ILL6S0tPSErwkODsZqtTq/Dh061Ksxala3uIu3d/s22/r6ejdH0v81N7cXc56enm6ORI7HOau7VkW3iHTPnfmj5nSLSE+5/Uz3smXLuOmmm1i8eDEAy5cvZ+XKlaxYsYJf//rXx32NYRhER0e79PubmppoavrfdsXq6uoex9gxqzs1NRVbYfvv+vqs7szMTGw2G+Hh4T3+/SIn4unpSWhoqDOJMJlMOjt2Cux2O0ePHsVkMuHl5fbHnhxHuMaGiUgP9Hb+CCfPIZX/iUhPuDX7bG5uZvPmzdx1113Oax4eHsybN48NGzac8HW1tbXEx8djt9tJTU3lD3/4A6NHjz7uvUuXLuX+++8/rTiPO6vb9r+VR81plN7UkSCc7NN76Z6HhwdDhgzRhxZ9lMaGiYirzkb+CN3nkMr/RMRVbi26y8rKaGtrIyoqqsv1qKgo9uzZc9zXjBw5khUrVjBu3Diqqqp49NFHmT59Ort27WLw4MHH3H/XXXexZMkS5/fV1dXExcX1KM4us7rNgUB7YljX1EqAr5fmNEqvMgwDi8XCoEGDaGlpcXc4/ZaPjw8eHm4/USMnYNZKt4i46Gzkj9B9Dqn8T0Rc1e/2WU6bNo1p06Y5v58+fTrJyck888wzPPjgg8fc7+vri6+v72n9zc6zutPT0wk1eVNZ38JhWz2jooM0p1HOCk9PT51HlgFLRbeI9Kae5o9w8hxSc7pFpCfcWnRHRETg6elJSUlJl+slJSUun7nx9vZm4sSJ5OXl9UaIQNdZ3VlZWcQE+1BZ38Ln2/ZwxKtKs7pFRE6TtpeLiKvcnT9qTreI9JRb91r6+PgwadIkMjIynNfsdjsZGRldPo08mba2Nnbs2NHrcxI7z+puLDsCwKrPsjWrW0TkDOhopFaholtEuuHu/FFzukWkp9y+vXzJkiVcd911pKWlMXnyZB5//HHq6uqc3SivvfZaYmNjWbp0KQAPPPAAU6dOZfjw4VRWVvLII49w6NAhfvjDH56VeP38/BgZG8SBQ3YSxqZx24XDycvLIzs7m7S0ND18RUROgbaXi0hPuDN/vOqqq2hqaqKgoICoqCjlfiLSLbcX3QsXLuTo0aPce++9FBcXM2HCBFavXu1sjnH48OEuzY8qKiq46aabKC4uJiwsjEmTJrF+/XpSUlJ6Nc7Os7rPj45m1aEdHG3AOas7KyvL+XNtMxIR6ZnwjjnddU3d3Cki4t78MTExkaCgIOV+IuIyw+FwONwdxNlUXV1NSEgIVVVVBAcHu/y68vJy1q9fz4wZM9hjs7PouY0MjQhg7Z0XAO0P88zMTKZPn65ZjSL9zKk+FwYid/1b1Da1Mua+/wKQ88CFmHzc/pmwiHxFz8h2X/93UO4nIq4+HzU/x0WdZ3UPCTcBcKSinja7w3m9830iIuK6AB9PfLza/yepvFZbzEWk71PuJyKuUtHtos6zuqOD/fDx9KClzYG1qsF5vfN9IiLiGofDgc1mI8S3fSReea22mItI36fcT0RcpaLbRZ1ndXsYEBvmD8CWvYcpKytj3759mtUoImfck08+SUJCAn5+fkyZMoVNmzad8N4XXngBwzC6fPX1ZNBqtbJmzRrWr1+PL+0r3GvXZ2G1Wt0cmYjI8dlsNux2u+Z0i4jLdGjORZ1nda9atQq/1jbAg3XZO8n9/BANDQ1ccsklaqQhImfM66+/zpIlS1i+fDlTpkzh8ccf58ILL2Tv3r0MGjTouK8JDg5m7969zu/78jPJarWSnZ1NVFQUqampvFa8lyP7y2n19NNECBHpszIyMmhsbCQwMJBvfOMbffo5KyJ9g1a6e8BisRAXF8eWLVvwaqwCoMruw7Bhw0hNTaWgoECrMyJyxixbtoybbrqJxYsXk5KSwvLlyzGZTKxYseKErzEMg+joaOdXRyffE2lqaqK6urrL19nQMREiKiqK9PR0wsLCCPtqbFi4ZTBRUVHk5ORwjvX6FBERkQFIRXcPOBwOysvLmT9/PvOmjgfACIrksssuY8GCBUoSReSMaW5uZvPmzcybN895zcPDg3nz5rFhw4YTvq62tpb4+Hji4uK47LLL2LVr10n/ztKlSwkJCXF+xcXFnbH3cDI2m436+nqSkpKcq0ShJm8AKhtaSUpKor6+HpvNdlbiERFx1dy5c7n11ltJTk5W3iciLlHR3QMdSeKIESNIjosEoKS2zXl2UkmiiJwpZWVltLW1HbNSHRUVRXFx8XFfM3LkSFasWME777zDP//5T+x2O9OnT+fIkSMn/Dt33XUXVVVVzq+CgoIz+j5OpPNEiA6h/u0r3VX1zeoKLCJ9ltlsxsPDQ3mfiLhMZ7p7oHOSGB/e/k93qLzO+XMliSLiTtOmTWPatGnO76dPn05ycjLPPPMMDz744HFf4+vri6+v79kK0anzRIiwsDCg80p3i7oCi0ifp7xPRFylle4e6JwkDjG3z+qubmylqr7Feb3zfSIipyoiIgJPT09KSkq6XC8pKSE6Otql3+Ht7c3EiRPJy8vrjRBPS+eJEB1bM0P8vyq661vUFVhE+jzlfSLiKhXdPdA5SfTz9iAyqH11KGtPvsaGicgZ5ePjw6RJk8jIyHBes9vtZGRkdFnNPpm2tjZ27NjRJzuAd0yEKCkpISsri4qKCoL92ud0Fx6toKSkhJSUFHUFFpE+RyPDRKSntL28B74+NiyQNo7iQcYX2/hy7WGNDRORM2rJkiVcd911pKWlMXnyZB5//HHq6upYvHgxANdeey2xsbEsXboUgAceeICpU6cyfPhwKisreeSRRzh06BA//OEP3fk2TshisZCWlkZOTg6ZmZkcqAbwoLqxTePCRKTP+vjjDJqaNDJMRFynoruHOsaGvf/++/i0JAIhVNt9mTJsGD4+PhQUFBAVFaVkUURO28KFCzl69Cj33nsvxcXFTJgwgdWrVzubqx0+fBgPj/9tWKqoqOCmm26iuLiYsLAwJk2axPr160lJSXHXW+iWxWIhOjoam82GuagSduyhCS89Q0VERGTAMBzn2JyD6upqQkJCqKqqIjg4uMevdzgcrFmzhsDAQDJKfHl2fSHfHjeIPy9KAyArK4uamhrmzJmjTz5F+onTfS4MJO78tzha00T67z/GMCDv9xfj6aFnqEhfoGdku45/hwMHDhAfH092drZyPpFznKvPR53p7qHOY8NGDY4ANDZMRORMCPZr33zlcMCholLNvhWRPkkjw0Skp7S9vIe6jg1rTwgP2+qdP9f4CBGRnisqKuKLL77Ax8OLZrsHaz//goMRAaSkpGiruYj0Scr5RMRVWunuoc5jw+K+GhtmrWqgudXuvN75PhEROblt27axYsUKDhw4gKm9gTm1LQ6amprIzs7GarW6N0ARkeNQzicirlLR3UOdx4ZFBPhg8vHE7oAtezU2TESkp4qKinj//feJjY1l8eLFWCJCAPAPDqe1tRVPT09ycnK01VxE+gyNDBORntL28h7qPDZs9erVhHjZqW82WJ2ZTVBtgcaGiYi4yOFwsHHjRvz9/bnsssswm82EmXwAGBSXQHSLD0VFRbS2tmKz2QgPD3dzxCIikJGxRiPDRKRHtNJ9CjrGhm3ZsgW/1loAahx+DBs2jNTUVAoKCrQdUkSkGzabjerqamJiYpwdP0NN3gBUNbSSlJQEtG/h1JlJERER6a+00n0KHA4H5eXlzJ8/n4bDXhzcXIxfxGAuu2wi0D42LCcnh+joaH36KSJyAo2NjXh7e+Pv709NTQ1hYWGEfrXSXVnfQlBQEA0NDbS0tOjMpIj0GXPnznGODFO+JyKu0Er3Keg8Nmzk4PbtjqX1do0NExHpAT8/P2f339zcXBwOB6H+7SvdlQ3NVFdXU1RUREhIiM5MikifoZFhItJTKrpPQdexYQEAHC7X2DARkZ4wm80EBATg4+NDcXExWVlZ+NIKQElFLe+88w4NDQ1MmTJFq0gi0md09HVUvicirlLRfQo6jw1LCG8fG5ZfXkfBkSOUl5dTXV3d5T4RETlWR2PKtrY2vLy8KCoqwnp4PwC78vIpLCzkkksuISYmxs2Rioj8j63ChsPh0MgwEXGZznSfgs5jw6JjYvE0oKnVzrqNWwnxcVBQUEBkZKS2Q4qIdMNisZCWlkZOTk77iLDWRsALvE3ccMMNKrhFpM/54otNHNi/n+bmZo0MExGXaKX7FHSszuzevZs3Xn+NcL/2bY+RiSmYTCYaGxtpaGiguLjYzZGKiPR9FouFOXPmcN555zE9bTwAHv5BKrhFpE9KTh5FQUEBGzZsIDw8XMdfRKRbKrpPUXR0NP7+/vj5+RHuawfg0y05GIbBokWLSE5OJicnB0fHwR8RETkhwzAIDw9n+JD2QruqocXNEYmIHN/u3XuIi4tj2rRplJeXK9cTkW6p6D5FNpsNf39/Fi1axLih0QD4hA9mzpw5xMTEqKOliMgp6JjTXVnfjN2uRFZE+p4pUyYzd+5cpk2bplxPRFyiovsUdXSqDA4OZmRs17FhoI6WIiKnIuSrkWF2B9Q2t7o5GhGRY5nDzBiGoVxPRFymovsUde5gHt/Rwbzsf2PD1NFSRKTnfL088PVq/5+m/MJSbdsUkT5LuZ6IuErdy09R5w7m8fHJABwqr3MmiLm5uepoKSLSA1arlZycHPw92mjC4LMvtnA0fw8pKSlYLBZ3hyci4uRwOJTriYjLVHSfoo4O5tnZ2bS0OTCAuuY2Pt+8g4aKEhoaGkhPT1dHSxERF1itVrKzs4mKiiIyxIPKo/UkjhpDUOtRsrOzSUtLU+EtIn3CwYMHaG5uprS0lLS0NOV6ItItbS8/DR3zZQsLDhFgNAHw0n9W8cUXX+h8j4iIixwOBzk5OURFRZGeno45sH2rZqunL+np6URFRWkahIj0Ga+88iqffvopcXFx+jBQRFyiovsM8PPzIy60PUmcMvcSbrvtNhISEsjOzsZqtbo5OhGRvs1ms1FfX09SUhKGYTibqVU1tGAYhqZBiEifctVVi5g1axYFBQXK80TEJSq6T0PH6kx0dDQTkwYDUNHqhdls1uqMiIiLOnYGdXQC7hgb1jGrWx2CRaQvSRiayOTJk5XniYjLVHSfhs6rMwkRAQDkl7d3MNfqjIiIazpPgwC6rHR3vq4OwSLSVyjPE5GeUNF9GjqvzsSHtxfdh8rrnD/X6oyISPc6T4NwOByEmnwAqKxvVodgEemzlOeJiKtUdJ+GLrO6ze2zug8eraW8vByHw6HVGRERF3RMgygpKSErKwsvR/sKd1l1PVlZWZSUlJCSkqIOwSLSJ9hsNuV5ItIjGhl2GjpWZzZs2IDDs307ZE1TGx99sp6IYH+am5u1OiMi4oKOaRA5OTlYD5UAHhwuLqcm3l/jwkSkT9m0aRMHD+xXniciLtNK92kwDIPw8HA2bNhAadERIgLaP8MIjh1GQUEBGzZsIDw8XKszIiIusFgszJkzh7RxKQAYvgHMmTNHBbeI9CmjRo1SniciPaKV7tPgcDgoLy9n2rRp+Pj4EGptpAyDL3btZ+aQOKKiopxbzfVAFhHpnmEYDIkOB6C22a5np4j0OXv27CEuTnmeiLhOK92noaN7+bRp05g7dy6j4wcB4Bc5hLlz5zJt2jR1tRQR6aGvdy8XEelLJk+erDxPRHpERfdp6Ny93DAMRsa2n+k5Wt/+iae6WoqI9Fyof3v38vrmNppb7W6ORkSkK7PZrDxPRHpERfdp+Pps2Y4O5vusFZSXl1NdXd3lPhER6V6grycdGzXzi0pwOBxujUdEpDN1LxeRntKZ7tPQebbs4MGDKT2wC4D88jo+//xzCgoKiIyMVFdLEREXWa1WcnJy8PdyUN9q8MmGbApyTaSkpKihmoj0CepeLiI9pZXu09AxW3b37t28+uqrRH71QWdtiwE+/jQ2NtLQ0EBxcbF7AxWRXlNdXd3jLzk+q9VKdnY2QUFBmAPbH6jDU8YRFBREdnY2VqvVzRGKiKh7uYj0XJ8oup988kkSEhLw8/NjypQpbNq0yaXXvfbaaxiGwbe//e3eDfAkoqOj8ff3x8/PD3tzA0He7dsgyxpg0aJFJCcnk5OTo+2RIgNUaGgoYWFhLn+ZzWYOHDjg7rD7HIfDQU5ODlFRUaSnpzuLbruXH+np6URFRelZKiJduCt/3P1V9/Jp06Y5u5eLiJyM27eXv/766yxZsoTly5czZcoUHn/8cS688EL27t3LoEGDTvi6/Px87rzzTmbOnHkWoz2WzWbD39+fRYsW4XA4SDi4gx3WOiITRxMTE4O/vz+ZmZnYbDbCw8PdGquI9I4333zTpe2FDoeDiy+++CxE1P90TINITU3FMIwuHcwNwyApKUnPUhFxcmf+OHnyZIYNTaCyslLPJRFxiduL7mXLlnHTTTexePFiAJYvX87KlStZsWIFv/71r4/7mra2Nq6++mruv/9+PvvsMyorK0/4+5uammhqanJ+f6a3dnZ0rAwODsbLy4skSyg7rHUcttUDqLOlyAAXHx/PrFmzXE64EhMT8fb27uWo+p/O0yDgf2PDKutbulzXs1REoPfzRzhxDmkOC1P3chHpEbduL29ubmbz5s3MmzfPec3Dw4N58+axYcOGE77ugQceYNCgQdx4443d/o2lS5cSEhLi/IqLizsjsXf4egfzhPAAAPLL6rpcV2dLkYHp4MGDPVrh2Llz5xl/Dg0EX3+Wfn1Wt56lItLhbOSP0H0OqeeSiLjKrUV3WVkZbW1tREVFdbkeFRV1wuZjmZmZPP/88zz33HMu/Y277rqLqqoq51dBQcFpx91Z5w7mDoejy9iwsrIy9u3bp86WInLK+nPPi574+rM01PS/otvhcJCbm6tnqYgAZyd/hBPnkLaKCux2u55LIuIyt28v74mamhquueYannvuOSIiIlx6ja+vL76+vr0WU0cH8+zsbFatWsUhWwvgxYHSGl588UUaGhq45JJL1NlS5ByRkZFBRkYGpaWl2O32Lj9bsWJFj35Xf+950ROdn6VZWVn4ONo/wDxaVUdWVhYlJSWkpaXpWSoiPXYq+SOcOIdcu2YN/21qJDAwkG984xt6LolIt9xadEdERODp6UlJSUmX6yUlJURHRx9z//79+8nPz+db3/qW81pHUuvl5cXevXsZNmxY7wZ9HBaLhbi4ON5//30M3wBgBDWtHgxOGEaQvw8FBQVERUVpxqzIAHf//ffzwAMPkJaWhsViOe1E7GycWexLLBYLaWlp5OTkUHKkBPDgYFEpNTH+zn9TEZGBkj+KyLnDrUW3j48PkyZNIiMjw7kF0m63k5GRwe23337M/aNGjWLHjh1drt19993U1NTwl7/8xW3nJB0OB+Xl5cyfP59hw4bx+t+yqW5sY+y02SRbgsnKyiInJ4fo6Gh9GioygC1fvpwXXniBa6655rR/V8eZxbvuust5radnFj/77LNu/05vN5vsKYvFQnR0NLaNebyStw8v/yDmzJmlZ6eIOLk7f5w9Zw6JCfFkZ2crvxMRl7h9e/mSJUu47rrrSEtLY/LkyTz++OPU1dU5V3auvfZaYmNjWbp0KX5+fowZM6bL60NDQwGOuX42dR51ExYWxtDIIL4sqOSwrZ6UmBCNuhE5RzQ3NzN9+vQz8rtOdmZxz549x31Nx5nFbdu2ufx3li5dyv333386oZ5xhmEweFAY0N693GazYTabldSKiJM780dzWBgeHh7K70TEZS4V3T1tEGEYBlu2bCE+Pr7bexcuXMjRo0e59957KS4uZsKECaxevdqZaB4+fBgPD7f2e+vW10fdJISb+LKgkvxyjQ0TOZf88Ic/5JVXXuGee+4563/7VM8s3nXXXSxZssT5fXV1tdu7q1utVvbu2AlARV0j69evx2QykZKSoi3mIv1Mb+WQfSF/VH4nIq5yqeiurKzk8ccfJyQkpNt7HQ4Ht912G21tbS4Hcfvttx93OxDAunXrTvraF154weW/01s6j7oJCwsj/quxYYfKNTZMZKDrXLDa7XaeffZZPv74Y8aNG3fMPO5ly5a5/HvP1pnF3m422VNWq5Xs7GyiQiMAGw1tHpx33lTy8vLIzs7W2W6RfqY3c0h354/K70TEVS5vL7/yyitP2i23s5/85CenHFB/1HnUTXp6unNs2N6i9rFh+/fv10gJkQFq69atXb6fMGEC0D6Pu7Oebo1295lFd3A4HOTk5BAVFcXo8RNh9Ye02h34BgSTnp6u/hgi/dRAyyHLbTZCQ4I1MkxEXOZS0f31sTfd6fjk71zx9bFhh8vbx4btL6nW2DCRAW7t2rW99rsHQs+LnujcH8Pk44WPpwfNbXYqG1oI8PXS+UmRfmgg5pDr1q7lw9UaGSYirnP5sMv777/f4wfnuaRjbNiWLVuoKz4IQHWLwZChw0hNTaWgoACr1ermKEWkP1m4cCGPPvoo9957LxMmTGDbtm3HnFkcSM+Vzv0xDMMg2L/9c+Hc/ELKy8sJDAzscp+I9A/KIUXkXOfy9vJvf/vbREVFcf3117N48WKGDx/em3H1O53HhiUmJvLqX7Opa7Yz4by5DB8UqG2RIuewp556irKyMu69994ev9bdZxbPps79MRobG/F2tACwecduagraZ5BXVVXp/KRIPzPQcsgLZs9m2NAEjQwTEZe5vNJ98OBBbr75Zl577TVGjhzJ+eefz0svvURDQ0NvxtdvdGyLHDFiBJGRkQyNbF+RyS+vxzAMkpKSqK+vx2azuTlSETnb/v3vf/e7AtgdOvpjbNiwgaysLIJ9PQEYNS6V8847j4qKCgoKCrrMFReRvm+g5ZBms9k5Mky5nYi4wuWiOy4ujnvvvZf9+/fz8ccfk5CQwK233orFYuGWW24hKyurN+Ps874+Nize3N7B/Mv9RdoWKXKOy8jI4MCBA+4Oo88zDIPk5GS2bNlCeXk5g8Lan6fFFTXk5eURHh5Oamoqu3fvxuFwuDlaEXHVQMshbTYbDodDI8NExGWnNMBw9uzZvPjii1itVh555BF27NjB1KlTGT9+/JmOr9/ovC3SarXiUVsKwNa8QtavX8/KlSux2WzaFilyDtq9ezd33nmnu8PoF3x9fYmLiyMsLIzG6vbVo+27c6mpqSE9PZ1p06ZpZUmkHxsIOWTWpizWrFlDbm4uoJFhItK9Uyq6OwQFBTF37lxmz55NaGgoOTk5Zyqufufr2yLjw9vHhrWazNoWKXIOqqur4/nnn2f69OmMHj2a1atXuzukfqGxsRGz2cw3v/lNhg9pn8cdFj2YOXPmYLFYtLIkMkD05xxyytQpBAYG8sEHH9DQ0KCRYSLSrVMquhsaGvjHP/7BBRdcQFJSEq+99hpLliwhPz//DIfXf3x9W+Tk5HgA9h+t1bZIkXPI559/zg033EBUVBQ/+tGPmD59Ojk5OcfM7Zbj61gxqq2tJeqr7eXVDa0UFbUf1amuru5yn4j0L8ohReRc5HL3coCNGzeyYsUK/vWvf9Hc3Mx3v/tdPv74Y2bPnt1b8fUrHdsiQ0JCsO7bDnhQVttCaUU16enp+Pn5acasyABUWlrKCy+8wIoVK6iqqmLRokWsW7eOadOmccMNNzBq1Ch3h9hvdOways3NxWjxBeBgYQlbthTjcDgoKCggMjJSK0si/cxAyiG/2PgFUYMiuPjii8nLy1NeJyLdcrnoTklJYe/evUycOJGlS5dy1VVXERIS0pux9Tsd2yIvuugiqqurCd2eTWVDK/Gj07BYQmltbXXeJyIDR3x8PN/73vf4y1/+wvz58/HwOK2TO+c0wzBISUnhww8/ZOeRZiAGr4AQpk4dxZdffkljYyMNDQ0UFxdjsVjcHa6IuGCg5ZDpk9MZnjiUtrY28vLylNeJSLdcLrrnzZvHq6++2q8aXZxtnbdFhoeHkxQVRFZ+BQfL6xk7OJSampou94nIwBAfH09mZiZDhgwhPj5eK9unKTo6Gn9/f4J926AGisur2LhxIyaTiUWLFnHkyBHNxhXpRwZaDmk2mzEMQ3mdiLjM5eWYJ554YsA8LHtL522RDoeDoREdY8OslJWVsW/fPkwmk7ZFigwwe/bs4Z///CdWq5X09HQmTZrEn//8ZwAVhafAZrPh7+/PJRfOBaDV05fp06czZ84cYmJiNBtXpJ8ZaDmkzWbDbreTm5urvE5EXOJS0Z2amkpFRYXLv3TGjBkUFhaeclD9Vce2yJKSElatWkV9ySEAsvcV8OKLL/LRRx8RHh6uJFxkADrvvPNYsWIFVquVW265hTfeeIO2tjZuu+02nnvuOY4ePeruEPuNjq2asRGhANQ227s8O9XBXKT/GIg55No1a3n66afZvXs3KSkpyutEpFsubS/ftm0bX375pcuf5G3btu2cHY1lsViIi4vj/fffx+4RCQzG1uLJsFHD8PHxoaCggKioKJ1FFBmgAgMDuemmm7jpppvYvXs3zz//PHfffTe33XYbLS0t7g6vX+jYqulpb//fkZrGVtrsDjw92hNbbekU6T+UQ4qI9OBM99y5c10edXUuf+LncDgoLy9n/vz5GCEWPnhhB7YWby699JsYhkFWVpbOIooMMGvWrOH888/H09Ozy/Xk5GQeffRR/vjHP/Luu++6Kbr+p+OoTknBQee16oYWwgJ8cDgc2tIp0s8MtBxy9pzZDBuaQHZ2tnI6EXGJS0X3wYMHu7/pawYPHtzj1wwENpuN+vp6UlNTMQUFYxg7qGtuo7yuhcggX5KSkjQ2TGSA+eEPf0hlZSUXXXQRl112GQsWLCA4ONj5cy8vL7773e+6McL+peOoTnZ2Nv5enjS0OiivaYDmOnJzcykpKSEtLU1Jrkg/MBBzyLAwMx4eHsrpRMRlLhXd8fHxvR3HgNFxxjAoKAgvL08Gh/lTYGvgwNFaIoN8dRZRZAA6cOAA27dv59133+Wxxx7j+uuvZ8aMGVx66aVcdtllDBkyxN0h9jsWi4W0tDT8N2+hoRVWrfmUhCAwmUykpaXpiI5IPzGQc0jldCLiKg2TPcM6zhh2nDkcGt7ewXxLXiHl5eVUV1d3uU9EBoZx48Zx9913s2nTJvbv38/ll1/OqlWrGDlyJBMmTODee+8lOzvb3WH2KxaLheiw9h0DMQnDnR3MVXCLiDtVVNhwOBzqLyEiLnP5TLe4pvPYsMGDB+Pd2N6xM3vvYWIb8ykoKCAyMlJnEUUGsJiYGG655RZuueUW6urqWL16Ne+88w4XXXQRS5Ys4Te/+Y27Q+w3Qvy9AfAyBWv7poj0CZs2ZXHo4AGam5vVX0JEXKKV7jOs4yzi7t27efXVV4kytZ85bPULw2Qy0djYSENDA8XFxW6OVETOlL/97W9UVlYe92cBAQFcfvnl/OMf/6CkpISbbrrp7AbXz4Wa2ovuqgZ1fheRviF51CgKCgrYsGGDRsGKiEtUdPeC6Oho/P398fPzI9SzfezF3qIKDMNg0aJFJCcnk5OT43InTxHp2377298SExPDVVddxZo1a054n6enJ5GRkWcxsv6vY6XbWl5FYWH7MR09O0XEnXbv2UNcXBzTpk3TM0lEXHJKRXdlZSV///vfueuuu7DZbABs2bKFwsLCMxpcf2Wz2fD392fRokVcPCMNgLImD2adfwExMTEkJSVRX1/v/LcTkf6tuLiY5cuXY7VamT9/PkOHDuXBBx+koKDA3aH1e172ZgD2HChgy5YtrF+/njVr1mC1Wt0cmYicioGQQ06enM7cuXOZNm2a8jkRcUmPi+7t27czYsQI/vSnP/Hoo486t1S+9dZb3HXXXWc6vn6po4tlcHAwKQkWfL08aLU7KKz8X2fzzveJSP/m7+/Ptddey9q1a8nNzeWaa67h+eefZ+jQoVx00UW88cYbtLRoe3RPWa1Wqsrai+sg8yAWLFjAjBkzCAoKIjs7W4W3SD8zUHLI0LAwDMNQPiciLutx0b1kyRKuv/56cnNzu3RrvPjii/n000/PaHD9VecO5h4eBkMj2juYb9pzSB3MRQa4xMREHnjgAQ4ePMiqVasIDw/n+uuvJzY21t2h9SsOh4OcnBws5vbu5fVtHnh5eREWFkZ6ejpRUVE6piPSzwyUHLLCVqHu5SLSIz3uXp6VlcUzzzxzzPXY2Fg1B/vK1zuYBznqAPh8x378bHnqYC5yDjAMAy8vLwzDwOFwaKW7h2w2G/X19QwfMgq27qO6UyM1wzBISkoiMzMTm82mruYi/cRAySE3ZWVxOF/dy0XEdT1e6fb19XWu1Ha2b98+NQj6ytc7mMcEtHe1bAscpA7mIgNcQUEBDzzwAImJicyfP5+ioiKee+45bYXuoY7tmtFfrXRXNjR3+bm2dYr0PwMlh0weNVLdy0WkR3pcdF966aU88MADzlUbwzA4fPgwv/rVr7j88svPeID9VecO5mav9mRx56Gj6mAuMgA1Nzfz2muv8Y1vfIOhQ4fy3HPPcdVVV7Fv3z7WrFnD1Vdfre2HPdTx79XRSO3rI8O0rVOk/xkoOeTuPXvVvVxEeqTHRfdjjz1GbW0tgwYNoqGhgfPPP5/hw4cTFBTE73//+96IsV/q3MH8oukTATja7MXs2bPVwVxkgImOjub6668nODiY9957j0OHDvHQQw+RmJjo7tD6rY5jOrbiIwBU1v+v6HY4HOTm5mpbp0g/M1ByyMnp6l4uIj3T4zPdISEhfPTRR2RmZrJ9+3Zqa2tJTU1l3rx5vRFfv9W5g/mE4BA8PXZQ19xGaU0z0SF+2hopMoDcfffdXHPNNf1qe2Rf13FM57ON2YAHTa12ahuaaGmsJzc3l5KSEtLS0rStU6QfGSg5ZJhZ3ctFpGd6XHR3mDFjBjNmzDiTsQwonTuYh4WFMcRs4mBZHRtz8pk5ItKZKGprpEj/t2TJEneHMCBZLBZmTJmEx6at2B3w9soPCfEFk8lEWloaFovF3SGKyCno7zlkha2CiLBQHXMREZf1uOh+4oknjnvdMAz8/PwYPnw4s2bNwtPT87SD68++3sE8xGgAIHN7Lh5H96mDucgAYTab2bdvHxERES7dP2TIED777DPi4+N7ObKBISYmhhD/nVTUtxA/IpmU2DDMZrNWuEX6oYGSQ6p7uYj0VI+L7j//+c8cPXqU+vp6wsLCAKioqMBkMhEYGEhpaSmJiYmsXbuWuLi4Mx5wf9GxNfLDDz/ks88+IyZgNNuOgiM4GpOpqksHc63WiPRflZWVrFq1ipCQEJfuLy8vp62trZejGlhCTT5U1LfgG2QmPFzJrUh/NVByyORRI9m+bSsHDhzg8ssv14eAItKtHhfdf/jDH3j22Wf5+9//zrBhwwDIy8vj5ptv5kc/+hHnnXceV155JXfccQdvvvnmGQ+4P+nawbwF8ODLgyVcPKi9wdqRI0fIyckhOjpaD2yRfuy6665zdwgDWrC/NwBHSsuJ9Wlof6ZqtVuk3xkoOWRH9/KoqChn93I9j0TkZHpcdN999938+9//dj4sAYYPH86jjz7K5ZdfzoEDB3j44Yf71eiH3tK5g/kuaw3/zNuJrdWHOXPmYBgG/v7+ZGZmYrPZCA8Pd3e4InIK7Ha7u0MY8Pw92v+NN+/Yg3dp+zWTyURKSop2Con0IwMlh5ycnk7SsKFUVlYqjxMRl/R4ZJjVaqW1tfWY662trRQXFwPtZ/A6mkucyzp3ME8dHguArb6FnP2HKS8vJzAwsMt9IiLSldVqpaWuCoDoIYksWLCAGTNmEBQURHZ2Nlar1c0RioirBkoO2TGVW93LRcRVPS66Z8+ezc0338zWrVud17Zu3cqtt97KnDlzANixYwdDhw49c1H2U507mFfbjhLh3771aPWG7axfv56VK1dis9nU9VJE5DgcDgc5OTlEBPsD0IwXXl5ehIWFkZ6eTlRUFDk5OTgcjm5+k4j0BQMlh8zKymLNmjXk5uYC6l4uIt3rcdH9/PPPYzabmTRpEr6+vvj6+pKWlobZbOb5558HIDAwkMcee+yMB9vfdHQw37BhA1lZWSSEtp9LDE1I4bzzzqOiooKCggKamprcHKmISN9js9mor68nLqq9M3xVQ4vzZ4ZhkJSURH19PTabzV0hikgPDJQccsqUKQQGBvLBBx/Q0NCg7uUi0q0en+mOjo7mo48+Ys+ePezbtw+AkSNHMnLkSOc9s2fPPnMR9mOGYZCcnMyKFSuIjY1lQsJEsq2F7CywMda3nPDwcKKioti9ezcWi0VNOEREOunYsjkoNACAyvqWLj/X1k6R/kU5pIicq3pcdHcYNWoUo0aNOpOxDEi+vr7ExcUREhLCYVsB4MGWAyVcEuVPeno6fn5+asIhInIcHVs2fY32EWtVDS2Ul5fT2NiIn5+f84NKbe0U6V/6ew75xRdfYBkUwcUXX0xeXp5yOBHp1ikV3UeOHOHdd9/l8OHDNDc3d/nZsmXLzkhgA0VjYyNms5mLLrqIwQdL+H97v6Sk0YOkESPw8fFRMzWRAaSwsJB///vf7Nu3Dx8fH0aOHMn3v/995zzaU/Hkk0/yyCOPUFxczPjx4/nrX//K5MmTj3vvW2+9xR/+8Afy8vJoaWkhKSmJ//u//+Oaa6455b/vTh1HdAps7S3LDxeXsX59CdB+3rugoIDIyEht7RTpRwZCDpk0fDjpkyZit9vJy8tTDici3epx0Z2RkcGll15KYmIie/bsYcyYMeTn5+NwOEhNTe2NGPu1jhWY2tpaogI88PKAxlYHH2/YRqQ/tLW1UVVVpZUakX7uqaeeYsmSJTQ3NxMcHAxAdXU1S5Ys4e9//zuLFi3C4XCwbds2Jk6c6NLvfP3111myZAnLly9nypQpPP7441x44YXs3buXQYMGHXO/2Wzmt7/9LaNGjcLHx4f333+fxYsXM2jQIC688MIz+n7PBsMwSElJ4fO31wCh1LfC1KlTAfjyyy9pbGykoaGB4uJijQ4T6QcGSg6Zm5dHbXUlMTExgHbbiEj3etxI7a677uLOO+9kx44d+Pn58e9//5uCggLOP/98rrjiit6IsV/r3Ext6+Zs4oLaP+eIHpWqZmoiA8TKlSv56U9/yu23305hYSGVlZVUVlZSWFjIzTffzHXXXUdmZiZXX3017733nsu/d9myZdx0000sXryYlJQUli9fjslkYsWKFce9/4ILLuA73/kOycnJDBs2jJ/97GeMGzeOzMzMM/VWz7ro6GhCTT4A1DTb2bhxIxs3bsQwDBYtWkRycrI6mIv0EwMlh1QjNRHpqR4X3bt37+baa68FwMvLi4aGBgIDA3nggQf405/+dMYD7O86mqlt2bKF8vJyxsS1bzPdfricvLw8wsPDSU1NZffu3UoaRfqpRx55hF//+tc8+uijXVZcLRYLy5Yt45e//CXz589nw4YNXHfddS79zubmZjZv3sy8efOc1zw8PJg3bx4bNmzo9vUOh4OMjAz27t3LrFmzTnhfU1MT1dXVXb76EpvNRnhg+ypSQ6vB+AkTmT59OnPmzCEmJkYdzEX6EeWQInKu6nHRHRAQ4DyDY7FY2L9/v/NnZWVlpxTEk08+SUJCAn5+fkyZMoVNmzad8N633nqLtLQ0QkNDCQgIYMKECbz00kun9HfPlo5mamFhYXjWtp9H3Lj7MDU1NaSnpzNt2jQljSL92JYtW056bvqaa66hqamJTz75hPj4eJd+Z1lZGW1tbURFRXW5HhUVRXFx8QlfV1VVRWBgID4+Pnzzm9/kr3/9K/Pnzz/h/UuXLiUkJMT5FRcX51J8Z0tjYyMBXx2EcgCB5kGEh4c7m6ipg7lI/3Gmc0h35Y9ffPEFtbW1XHzxxfj7+yt/E5Fu9bjonjp1qnOr4sUXX8z//d//8fvf/54bbrjBedauJzrOLN53331s2bKF8ePHc+GFF1JaWnrc+zvOLG7YsIHt27ezePFiFi9ezH//+98e/+2zpaOZ2je/+U3mpaUAUNba3mRJzdRE+r+2tja8vb1P+HNvb2/8/f0ZMmRIr8cSFBTEtm3byMrK4ve//z1Llixh3bp1J7z/rrvuoqqqyvlVUFDQ6zH2hJ+fH54eEOTrCYCtrmvjpZqaGud9ItK3nckc0p35Y9Lw4cyePZukpCRA+ZuIdK/HjdSWLVtGbW0tAPfffz+1tbW8/vrrJCUlnVLXyc5nFgGWL1/OypUrWbFiBb/+9a+Puf+CCy7o8v3PfvYzXnzxRTIzM/tso6DOzdSGhrYn5oVVzWzM3oqvp5qpifR3o0eP5p133uGOO+447s/ffvttRo8e3aPfGRERgaenJyUlJV2ul5SUEB0dfcLXeXh4MHz4cAAmTJjA7t27Wbp06THPzg6+vr74+vr2KLazqaMvRoBXCzVNUFn/v6Lb4XCQm5uLyWTSmUqRfuBM5pDuzB/35aqRmoj0TI+L7sTEROd/DggIYPny5af8xzvOLN51113Oaz09s7hmzRr27t17wrNATU1NXZqUueO8Yudmaq2trYT5eVPRaGfwmCmMMHvyzjvvUFhYqGZqIv3Uj3/8Y2699VZ8fX350Y9+hJdX+6O1tbWVZ555hrvvvpunnnqqR7/Tx8eHSZMmkZGRwbe//W0A7HY7GRkZ3H777S7/Hrvd3q+fLR0dzP02bgYMDpdWMGFwMDU1NeTm5lJSUkJaWppzu7mI9F1nKoc8G/kjnDiHnDJlMhVlpXzwwQfExcXpQz8R6VaPt5cnJiZSXl5+zPXKysouD1NXnI0zi33hvOLXm6mNjQ0BYPPBUjVTExkArrvuOm677TZuv/125/89T5w4kfDwcH76059y8803c/311/f49y5ZsoTnnnuOF198kd27d3PrrbdSV1fnXNm59tpruySdS5cu5aOPPuLAgQPs3r2bxx57jJdeeokf/OAHZ+qtuoXFYiE2ov25mb09h1WrVpGZmUlNTQ1paWkaFybST5ypHFI9L0Skv+nxSnd+fj5tbW3HXG9qaqKwsPCMBNWdjjOLtbW1ZGRksGTJEhITE4+7ffKuu+5iyZIlzu+rq6vd8tDsaKYWEhJCQGE54MFHm/cRMbSZMWPGYLFY+Pzzz9s79YaHn/X4ROT0PProo3zve9/j1VdfJTc3F4BZs2axaNGiU+p3AbBw4UKOHj3KvffeS3FxMRMmTGD16tXORPPw4cN4ePzvs9O6ujpuu+02jhw5gr+/P6NGjeKf//wnCxcuPP036GYWczAcrMZsiWdofPt7jo6O1vNSpB9xdw7Zk/wRTpxDZmR8TFLiUC6++GLy8vKUu4lIt1wuut99913nf/7vf/9LSEiI8/u2tjYyMjJISEjo0R8/G2cW+8p5xY5mahdddBEVa7axqqCUogZP/P39OXDgAIWFhdhsNjXjEOnHpk6desoF9oncfvvtJ9xO/vUGaQ899BAPPfTQGf37fYU5oH1Wd+7hIkbaWwA4ePAgJpOJlJQUrXaL9GFnOofsKz0v1AhXRFzlctHdcabQMIxj5sx6e3uTkJDAY4891qM/fi6dWexospGXl4d3bTHgQVmzJxfMm0tbUwObN28mLy+PtLQ0YmNj3RusiLhs+/btLt87bty4XoxkYPNqa09qmxxezJgxhaCgIOe57uzsbG0zF+nDznQO6e78ce7ceVSWHyUzM5Pm5mY1UhORbrlcdNvtdgCGDh1KVlYWERERZySAJUuWcN1115GWlsbkyZN5/PHHjzmzGBsby9KlS4H28zVpaWkMGzaMpqYmPvjgA1566SWefvrpMxJPbzGbzfj7+7NmzRrS0tIYtKeG0pom9pXWMyk+jKCgIKKjo7FaraSkpKgpkEg/MWHCBAzDwOFwdPm/247+DJ2vHW9bpXTP4XBQX9E+BsjDFEJYWBgAYWFhpKenk5WVRU5ODtHR0Xp2ivRBvZFDujN/DA0NZfjQeHbt2kVZWZnzmSQiciI9PtN98ODBMxrAuXJm0TAMLBYLn3zyCTU1NYwaZKK0pok1X+6neGcJVVVVzJ49m/379+tskEg/0vmZuHXrVu68805+8YtfMG3aNAA2bNjAY489xsMPP+yuEPs9m82Gt70Z8KCivuucbsMwSEpKIjMzU89OkT7uTOaQ7swf8/PzOZjXvsI9aNAgKioq9OwRkZMyHC60y37iiSdc/oU//elPTyug3lZdXU1ISAhVVVUEBwef1b9dWFjIxx9/jMVi4ZXtVawrM5FoHGVOwBHi4uKwWCxYrVbmzZunLeYiZ9GZei5MnjyZ3/3ud1x88cVdrn/wwQfcc889bN68+XRD7XXufEaeSGFhIW+u28Kfd3iQEG5i3S9md/l5a2srq1atIjU1Vc9OkV5wOs+FgZhD3nHnL7EMimD27NlYrVY9e0TOYa4+H11a6f7zn//s0h81DKPPPzDdyc/PD7PZzODBg4nbXwFl0BoSy6/+72pqa2t1rlukn9uxYwdDhw495vrQoUPJyclxQ0QDg5+fHwFf/a+Vra75mJ/X1NQ47xORvmUg5pBXXnkljtZmcnNzdaZbRFziUtF9preUn6s6znWvXbuWWWNTeemQjcOVzdS1OAgNDdW5bpF+Ljk5maVLl/L3v/8dH5/2btvNzc0sXbqU5ORkN0fXf5nNZiKD/YEmqhtbaWmz4+3Zvm3U4XCQm5uLyWTCbDa7N1AROcZAzCETEhKICAshJydHZ7pFxCU9PtPd2fEaBcmJdT7XPXJkHfFmPw7ZGln5xW5C6gp0rlukn1u+fDnf+ta3GDx4sLNT+fbt2zEMg/fee8/N0fVfhmEwaVwKxidbcGBwyHqUhOhwZ/fykpIS0tLS9L9FIv1If84hdaZbRHrKo/tbjvWPf/yDsWPH4u/vj7+/P+PGjeOll14607ENSKGhoQwfPhy73Y65rRKAVz/6gm3bttHa2sqRI0c0r1ukn5o8eTIHDhzgoYceYty4cYwbN47f//73HDhwgMmTJ7s7vH5tcGwMIf7eAKz5fBOrVq0iMzOTmpoajQsT6UcGQg752muv8+mnn5KUlITZbFbOJiLd6vFK97Jly7jnnnu4/fbbOe+88wDIzMzklltuoaysjDvuuOOMBzmQdD7XnbB3F1urwGPQcH7148U61y3ST917771cdtllTJo0iYCAAH70ox+5O6QBKTzQl8qGVhJGjmF0pI/zedofV8pEzkUDJYdceOVC0JluEemBHhfdf/3rX3n66ae59tprndcuvfRSRo8eze9+97t+88B0l87numeMmsB/CivZW9aEw/DUuW6RfurIkSMsWLAAHx8fvvWtb3HppZcyd+5c57luOTPMAT7sP1pHm6cfsbFa2RbpbwZKDpkQn0CkWWe6RcR1Pd5ebrVamT59+jHXp0+fjtVqPSNBDWQd57qLi4sJop4QPy+aWu18mJXDypUrycvLY/bs2TQ0NGCz2dwdroi4YMWKFRQXF/Pqq68SFBTEz3/+cyIiIrj88sv5xz/+of9bPkPCTO0fYtjqj+1gLiJ930DJIfMP5ZOVldXlTLeIyMn0uOgePnw4//rXv465/vrrr5OUlHRGghroOs5143AQ5VUPwP977xOd6xbpxzw8PJg5cyYPP/wwe/fu5YsvvmDKlCk888wzxMTEMGvWLB599FEKCwvdHWq/ZQ5oL7orjjM2TET6voGSQ76uM90i0kM93l5+//33s3DhQj799FPneZzPP/+cjIyM4z5I5VhdznXvymFfLfgPGcOvbpyuc90iA0RycjLJycn88pe/5OjRo7z77ru8++67ANx5551ujq5/Cvuq6LbVtbg5EhE5FQMlh9SZbhHpKZdXunfu3AnA5ZdfzhdffEFERARvv/02b7/9NhEREWzatInvfOc7vRboQNL5XPfMUdEAbC9uxMPT65hz3R0jNUSk/4qMjOTGG2/knXfeUcF9GsxfbS+v0PZykX5loOWQCfEJpKen09jYSGlpqc50i0i3XF7pHjduHOnp6fzwhz/kyiuv5J///GdvxjWgdZ7XPTxpBIG+nlQ3trLqi11Qnq953SL9zMSJE4/b9DAkJIQRI0bw85//nOTkZDdENrD8b6VbRbdIfzLQcsj8Q/nk79ecbhFxncsr3Z988gmjR4/m//7v/7BYLFx//fV89tlnvRnbgNZxrtvAQZxP+7nu597L1LlukX7o29/+NpdddtkxXxMmTGDPnj1MmDCBzz//3N1h9nvmgPY53Sq6RfqXgZZD6ky3iPSUyyvdM2fOZObMmfz1r3/lX//6Fy+88ALnn38+w4cP58Ybb+S6664jOjq6N2MdUDqf607as4vdNWAfNIJf/fhGnesW6Wfuu+++k/78t7/9Lffeey8ZGRlnKaKByRzgC0B5bZObIxGRnhhoOaTOdItIT/W4e3lAQACLFy/mk08+Yd++fVxxxRU8+eSTDBkyhEsvvbQ3YhyQOp/rnju6vajeXdpIk93QuW6RAeaqq65ix44d7g6j34sIbN9eXlbbrOeiSD80UHJInekWkZ7qcdHd2fDhw/nNb37D3XffTVBQECtXrjxTcQ14ned1BzjqGRzqS6vdwRvrtvLxxx9TUlLCnDlzNK9bZADw9PTEbre7O4x+LyKwfaW7uc1OdWOrm6MRkdPRn3PIg/ma0y0iPdPjkWEdPv30U1asWMG///1vPDw8+P73v8+NN954JmMb8DrOdR89epTA2mYgglc/2c4sk5URI0YQGBgIoLNCIv3cW2+9RUpKirvD6Pf8vD0J8vOiprGV3IISLAGG86jO8RrZiUjf1N9zyNdff52YQeHMnj0bq9WqPE1EutWjoruoqIgXXniBF154gby8PKZPn84TTzzB97//fQICAnorxgGr4wyQw+Fg3uho9nzZSoV/HLfc+m0O7N9PZmamzgqJ9ANPPPHEca9XVVWxefNmVq5cyapVq85yVANTmJ8nNY2tfLppK0kh7ddMJhMpKSlYLBb3BiciJzSQcsiFCxditOlMt4i4zuWie8GCBXz88cdERERw7bXXcsMNNzBy5MjejG3ACwsLo7S0lIiICH589Rxe2LOGo3UtbD5YTurQoezcuZPy8nKdFRLp4/785z8f93pwcDAjR47k008/Zdq0aWc5qoHHarXibW8EDGITR7Fg8lBqamrIzc0lOzubtLQ0Fd4ifdBAyyFDgoMZMSyBnJwcysrKlKeJSLdcLrq9vb158803ueSSS/D09OzNmM4ZFRUVDBo0CB8fH9Z+/BEjAtvY0uTBPz/ZyU4OYrPZNP9RpB84ePCgu0MY8BwOBzk5OUQG+bK/upkGhxdeXl6EhYWRnp5OVlYWOTk5REdHa6u5SB8z0HLITz5Zx5qPGjEMQ3maiLjE5UZq7777LpdddtmAeFj2FY2NjZjNZpKSktiyZQtRLVYAdlX7kJg4jKlTp1JWVsahQ4fcHKmIiHvZbDbq6+uJjzID7R3MOxiGQVJSEvX19Wo8KdIHDdQcsmNbuc50i0h3TrmRmpw+Pz8/HA4HR44cYf78+cTEJbDmqc3YmiA4PoX4YA/27t3LoUOHmDhxolZvRPqgJUuWuHzvsmXLejGSga0jqbWEtTeYLPvarO6goKAu94mI9JZx4ycwZdIE1q5dy8aNG/H19XV3SCLSx6nodiOz2UxraysHDx5k1qxZNDU1MdpssKXUwcuZexndso/6+nqqqqqw2WzauiTSB23durXL91u2bKG1tdV5XnHfvn14enoyadIkd4Q3YHSsKAV6tY9e+3rRXVNT0+U+EZHekpeXR311BeXl5e4ORUT6CRXdbmQYBgkJCWzdupXMzEzq6uq4IN7CltI6sss8mT0yhtDgQDZt2sShQ4dUdIv0QWvXrnX+52XLlhEUFMSLL77obKxTUVHB4sWLmTlzprtCHBDMZjMmk4mmqjIAjtb8r+h2OBzk5uZiMpkwm83uClFEzhGjRo1k15dbycvLY9CgQTQ1NXX/IhE5p7l8plt6R3x8PMOGDWPbtm0UFRUR51VNsLeD6mYH1UFDSE5OJiQkhEOHDuFwONwdroicxGOPPcbSpUu7dLINCwvjoYce4rHHHnNjZP2fYRikpKRgr68EoKS6gdbWVioqKsjKyqKkpISUlBQdwxGRXpedncXgwYMZN24cNTU12l4uIt1S0e1mZrOZ4OBgTCYTl112GfFxg5kc2b598r2cCt55550uW8xFpO+qrq7m6NGjx1w/evSoc/uznDqLxcJ5k8YCUFbTxAcfrCIzM5OamhqNCxMREZE+S0W3m3VsMa+qqiInJ4e9e/fyzeT2VbK9lQZNXgEMGzaMvLw8dTEX6eO+853vsHjxYt566y2OHDnCkSNH+Pe//82NN97Id7/7XXeHNyCkJMYB0OowGDlmPNOnT2fOnDkquEXkrEkankRBQQHbt28nKChI28tFpFs6090HdN5iHhAQQHhTEzGevhS1BbOjKYIEo5mysjK2bt2qLuYifdjy5cu58847ueqqq2hpaQHAy8uLG2+8kUceecTN0Q0Mft6eBPp6UdvUineQmfDwQHeHJCLnmA9WrcYSaSYuLo6ysjJtLxeRbmmluw/ovMV82rRpAFwxtr0Z0NbqABrsHkRFRXHgwAFycnLcGaqInITJZOKpp56ivLycrVu3snXrVmw2G0899RQBAQHuDm/AiAj0AbrO6hYROVsuvOgbzJw5U0eHRMRlKrr7gI4t5pWVlWRnZzN48GC+O20UgwMcNLbaeTunivj4eMrLy/nss8/UUE2kjwsICGDcuHGMGzdOxXYviAhsX1Xq3MFcRORsOXjgIJs3b3ZuK29sbHRzRCLS16no7iPi4+OxWCyUlJSwb98+/v73vzPWswiAA55xxA8fRVhYGPv27dNqt4ic0zqK7q/P6hYRORtqa+sACAkJoampiYaGBjdHJCJ9nYruPsJsNhMREUFoaCiRkZFMmTKFW781DUuAQV2Lg8c/3E1zczPl5eV8+umnWu0WkXNWRFDH9nIV3SJy9jnsdpKSkjAMg6qqKvz8/Nwdkoj0cSq6+wjDMBgzZgzFxcXs2bOHyMhIDuzfz4VR9QDsah2EIyCC6upqVq1axbp169wbsIiIm0QGtie4R8qqKSwspLy8XB9EishZ09jUxEcffcSuXbvw8vLS9nIR6ZaK7j4kJSWFpKQkjhw5wurVq9m6dSsth7YR51mNHQ82OxIYMmQI9fX1/OUvf2HLli3uDllEetmTTz5JQkICfn5+TJkyhU2bNp3w3ueee46ZM2cSFhZGWFgY8+bNO+n9/ZW3vX0rZ25BCVu2bGH9+vWsWbMGq9Xq5shE5Fxw8OBBGhoaaGhooLq6WivdItItFd19iGEYzJw5k4CAABoaGggPDyclJZnLE8EDB4dagmmNGUd8fDwlJSX88pe/5PXXX6esrEyrPCID0Ouvv86SJUu477772LJlC+PHj+fCCy+ktLT0uPevW7eORYsWsXbtWjZs2EBcXBzf+MY3KCwsPMuR9x6r1UqV9RAAbT6BLFiwgBkzZhAUFER2drYKbxHpdT7e3vj4+FBbW0tNTY3OdItIt1R09zEpKSmMGDGC4uJirFYrOTk5VBzewzjvYgA+qojgaG0LdrudvLw87r33Xm677TYeeOABMjIyVICLDCDLli3jpptuYvHixaSkpLB8+XJMJhMrVqw47v0vv/wyt912GxMmTGDUqFH8/e9/x263k5GRcZYj7x0Oh4OcnByGWcIBOFrXgpeXF2FhYaSnpxMVFUVOTo6egSLSq9Z98gnr16+nvr6empoabS8XkW55uTsA6apjtTsnJ4eGhgaGDh1KSEgII3z9KNheS7kjkKIhc5kZG8GRggJ27tzJF198wY4dO3jvvfcYNmwY6enpXHTRRYwePRrDMNz9lkTkFDQ3N7N582buuusu5zUPDw/mzZvHhg0bXPod9fX1tLS0YDabT3hPU1OTc+wNQHV19akH3ctsNhv19fWkpY6FNVmU1TbT1NqGr5cnhmGQlJREZmYmNpuN8PBwd4crIgOUn58v5eXlFBYWEhQURFVVlbtDEpE+TkV3H5SSksL48eNZt24dLS0thISEADCuzs6npvMo84xghz0Rs3GEpKQkPD09aWlpoaSkhB07dpCbm8vq1au56KKLuOqqq4iJiXHzOxKRniorK6OtrY2oqKgu16OiotizZ49Lv+NXv/oVMTExzJs374T3LF26lPvvv/+0Yj1bOlaT4gaF4ePlQXOrndLqJuLMJgCCgoK63Cci0ht8fHxxmExUVFRQV1dHW1ubu0MSkT5O28v7IMMwWLBgAYMHD6ayshIvLy9iYmIYNzSKGT75AOR5D6Vh0BjGjh1LSEgIdrudyMhIzGYzJpOJsrIyXnrpJe6++262bt3q3jckImfdH//4R1577TX+85//nLTJz1133UVVVZXzq6Cg4CxG2TMd76O2thZLSPt/3ltQ4uxg3rFKr6ZGItKbLBaLczdNY2Njn35uikjfoJXuPiomJobvf//7PPzww6xfv57BgwcTGBhImJcXI7092OuZwM6AiZjbdtHW2oq3tze+vr5ER0fj4eFBa2sreXl5ZGdnc//993PvvfeSmprq7rclIi6KiIjA09OTkpKSLtdLSkqIjo4+6WsfffRR/vjHP/Lxxx8zbty4k97r6+uLr6/vacd7NnR8qJibm4vZz4NDQObmnTREtp/3LigocH74KCLSW7y9vZ3/b0tLCwcPHnRzRCLS12mluw+bOHEiv/jFLwgJCeHgwYNUVFRQX1/PkKoviWktxmF4kOlIodQRTEBAAIMGDSI4OJjg4Pbvk5OTiYuL48iRIzzyyCNa8RbpR3x8fJg0aVKXJmgdTdGmTZt2wtc9/PDDPPjgg6xevZq0tLSzEepZYxgGKSkp7N69m/qy9o7swdHxTJ06FZPJRGNjIw0NDRQXF7s5UhEZyHz9/AgPD8fX1xeHw0F9fb27QxKRPk5Fdx+XmprKb3/7W2JiYigvL+fo0aNUV1Uxtm4zkS0ltBme5MXMp94vkubmZgIDAzEMg+DgYCZOnMisWbMYOnQoLS0t/Otf/6KoqMjdb0lEXLRkyRKee+45XnzxRXbv3s2tt95KXV0dixcvBuDaa6/t0mjtT3/6E/fccw8rVqwgISGB4uJiiouLqa2tdddbOOOio6Px9/cnxKf9++25h9m4cSOGYbBo0SKSk5PVwVxEelXc4MEMHjyYtrY2DMNw9t4RETkRFd39QGpqKr/85S8ZMWIEbW1tFBUVcTj/IPFHPsJUW4jd04ft4edT7xcJtK8GBQQEcPToUWfCbRgG+/fv54MPPlAyKtJPLFy4kEcffZR7772XCRMmsG3bNlavXu1srnb48OEuc6mffvppmpub+d73vofFYnF+Pfroo+56C2eczWbD39+fC6aMb79gCmX69OnMmTOHmJgYkpKSqK+vx2azuTdQERmwdu/ezdatW2loaMDb2/uYhpciIl+nM939xMSJE4mKimLVqlV8+umn5OTkkJ+fT11TNh6zf4I9chgb/NKpLPiYIQF2WltbCQ0NxWazYTKZCAwMpLS0lP/85z8MGzaM2bNnu/stiYgLbr/9dm6//fbj/mzdunVdvs/Pz+/9gNysozN5wqBQACqbjS7jwdTBXER6265du2ioqcThcBAYGEhkZKS7QxKRPk5Fdz8SExPDDTfcwGWXXcb27dv57LPP2LVrF1s3PEfTlBsgagQ5g+Zgbv2SGN8mDh06RHNzM/7+/kRFRREaGkpOTg7Lly8nNDSUiRMnuvstiYj0SEdn8mCv9hE9xVVdi+uampou94mI9AY/Pz8cDgcBAQEMGTLE3eGISB+norufMQyDiIgI5syZw+zZsykvL2ft2rX845XX2enhgT1yOJ8xgREFHxLW1gBAYmIiKSkpNDY2Eh0dza5du/jXv/5FVFSUZniLSL/S0cG87mh7I7XSmkZa2+x4eXrgcDjIzc3FZDKdUgdzh8NBeXm5sxFbdHQ04eHhGIZxRt+DiPRv8fHx2JsbKCwsJDAwUB/yiUi3+sSZ7ieffJKEhAT8/PyYMmUKmzZtOuG9zz33HDNnziQsLIywsDDmzZt30vsHso4C/IorruCZJ5/gR6Na8Srfj8PTh30x36DadxDDhw8nKSmJ3NxcDh48SFNTE5GRkRw5coRVq1bpfLeI9CsdHcwbq8rwNMDuAGtlPRUVFWRlZVFSUkJKSkqPC2Wr1cobb7zB8uXLef3113n99ddZvnw5b7zxRpdz8yLSd7grf2xrayUkJISkpCQCAwNpamo61bcgIucItxfdr7/+OkuWLOG+++5jy5YtjB8/ngsvvJDS0tLj3r9u3ToWLVrE2rVr2bBhA3FxcXzjG9+gsLDwLEfet8TExPDrO5fwh4uG4F99CIenD3uj59IcGs+ePXsIDAxk5MiRzJ49m/j4eMLDw9m+fTs5OTnuDl1EpEcsFguT09MI+Wq8+H/+u5bMzExqampIS0vDYrH06PdZrVY+/PBDCgoKmDp1Kj/96U/56U9/ytSpUykoKODDDz9U4S3Sx7gzfxw/fiLDhw8nMjISf39/qqurT/ftiMgA5/aie9myZdx0000sXryYlJQUli9fjslkYsWKFce9/+WXX+a2225jwoQJjBo1ir///e/O2bXnOsMwuOK7l/HTCT4E1xfSZnjx76NRNAbGEBMTg6enJ1988QUHDx6ktbWVkpISPv30U612i0i/Y7FYGBoVBoA5NtHZwbynBbfD4WDXrl3U1NQwduxYRo0ahWEYGIbBqFGjGDt2LDU1NezatUvPSpE+xJ35Y3V1FZGRkURFRWG32wkODj7dtyMiA5xbz3Q3NzezefPmLnNmPTw8mDdvHhs2bHDpd9TX19PS0nLC83tNTU1dtv0M9E8jDcPgsksu5uCBv/FRowcVfhY+bBhKQn01rZVWbDYbgYGB1NXV4enpyZo1a0hOTuaCCy5wd+giIj0SHdJ+jrLZ09Slg3lP2Gw29u7di9VqJTw8nIyMDAoKCgCIi4vDx8fHuco9ceLEU/47InLmnI38EU6cQyYmJlJWdpQ9e/bg4+OjM90i0i23rnSXlZXR1tZ2zHzDqKgoZyOb7vzqV78iJiaGefPmHffnS5cuJSQkxPkVFxd32nH3dTExMSxaeAWJ1jX4NZRS0+zg2b1eHCmtIDIyklGjRjFp0iRmzZpFaGgoK1eupKioyN1hi4j0iCW4PdG1VjWc8u84dOgQ+/btIyQkhLFjxxISEsLUqVOZOnUqISEhjBkzhpCQEPLy8jh06NCZCl1ETsPZyB/hxDmk3dG+S6axsRFvb2/8/f1P/c2IyDnB7dvLT8cf//hHXnvtNf7zn/+c8FPGu+66i6qqKudXxwrGQDdx4kRuv+Umhh5ejU9LDTX4s95zDAFBwRw6dIg9e/bQ1tZGSEgIR48eVVM1Eel3YkLbE919RTbKy8t7/AxzOBzk5+cTHh5ObGwseXl5xMTEMHfuXObOnUtMTAz79+8nNjYWs9nMoUOH9JwUGQBcyR/hxDlkfn57Y9r4+Hg8PT1paDj1D/5E5Nzg1u3lEREReHp6UlJS0uV6SUkJ0dHRJ33to48+yh//+Ec+/vhjxo0bd8L7fH198fX1PSPx9jcXXHABe/bsYdX6teTELMDaGsBb+6v41uAQLrvsMg4fPoyXlxfe3t7OpmqjR492d9giIt2yWq1UHskFIK+4kvXr12MymUhJSXH5XLfNZsPLy4uxY8eyb98+PD09mTVrFoZh4HA4MJvNvPfee3h4eDB+/Hg8PT2x2WzaYi7iZmcjf4QT55Dx8QmEB5s4fPgwlZWV6l4uIt1y60q3j48PkyZN6tLEoqOpxbRp0074uocffpgHH3yQ1atXk5aWdjZC7ZcMw2DWrFkkhPkyzdgHwB5HDL6J6axbt47169fT2tqKYRhUVVXx2WefaRVHRPo8q9VKdnY2QyMDAahs8eK8884jKCiI7OxslzuNNzY2YhgGkyZNoqWlhezsbDIyMtixYwdvvfUW//znP9mwYQOFhYU0NTVRUVFBY2Njb741EXGBu/PHgACTcyyh8iYRcYXbt5cvWbKE5557jhdffJHdu3dz6623UldXx+LFiwG49tpruzTK+NOf/sQ999zDihUrSEhIoLi4mOLiYmpra931Fvq0lJSU9hWa4hyS7IcB+NMnVipbvbjyyisZOnQo0dHRWCwW9u3bpxFiItKnORwOcnJyiIqKYsGsyRgG1DW3YfcJID09naioKHJyclxKhP38/LDZbGzZsoWwsDBaWlp48cUX+clPfsIbb7xBdXU1EydO5IYbbiAyMpK8vDwqKyt7/02KSLf6Qv7Y1NSEYRjn7I5KEXGdW7eXAyxcuJCjR49y7733UlxczIQJE1i9erWzOcbhw4fx8PjfZwNPP/00zc3NfO973+vye+677z5+97vfnc3Q+wXDMFiwYAF79uzBs2IrdTFRFDX58klzIsFr11FsLaK5uRm73U55eTmffvopKSkpzk9wRUT6EpvNRn19Pampqfh5e2EJ9qOoqpFD5XVEBPqSlJREZmamS9vAm5qaKCgowG63c+WVVzJs2DA2bNiAp6cnISEhDBo0iMjISKZOnUpWVhbR0dFYrVY9I0X6AHfmj3V19fgFm6irq1MjNRFxiduLboDbb7+d22+//bg/W7duXZfv8/Pzez+gASYmJoZvfvObPPnkk8Q0raI89lvsK28mw8NgjIeBj48PoaGhFBcXa4SYiPRpHdu7g4KCABgSbvqq6K5nUrzZeb27beAOh4Pdu3eTmppKa2sr+/fvJyQkhNbWVsaPH09RURH79u1j/PjxZGdnU1paypw5c8jLy9O5bpE+wl354+HDh9hdWY6HhwdBQUE6diIi3XL79nI5O84//3zmzJlDgNHM2Ja9AGy3x+EVPoSrrrqKMWPGaISYiPR5HZ2Ga2pqAIg3BwBwqLy+y/Xu5uZ2rJhPmzaN9PR0ampq2Lt3L3V1dezYsQOr1YrNZuPTTz/l4MGDJCYmMnz4cKD7gl5EBrYhQ+I577zzMJlMVFdXa063iHSrT6x0S+/raKqWm5tLtFc5Nt86DjQF8HnrUMLXrqOk2EpwcDAeHh4UFBTwwQcfcOONN2oLpYj0KWazGZPJRG5uLunp6QwJNwFw2FaPw+EgNzcXk8mE2Ww+6e/pKJwDAwOx2+2MHDmSoKAgHA4HM2fOpK6ujpdffpnW1lb8/f05cOAAubm5VFVVKcEWEQzDIDAwkMrKSo0ME5Fuqeg+h6SkpDBixAg2btzIOEsOhUYqueXNfOrry4LERMrKyjCbzdTW1vLBBx8wfPhwbTMXkT7FMAxSUlLIzs4mKyuLCN8wAPaXVJOVlUVJSQlpaWndfmDY0URt5cqVeHp6Au1bzsvKyti4cSMeHh7tzdoWLCA+Pp7q6mreeecdZydzETl3lZQUYytpo6WlBcMw9EwQkW5pe/k5xDAMZs6cSXBwMH6ORr4RUQXA1uZobC1eDB48mIsvvpjJkycTGBiobeYi0idZLBbS0tKoqamh7NAeAA4eraampoa0tDSX5nR3NFGrqKjgvPPOY8GCBcycOZOUlBRWrVrFpk2bSExMZMiQIdTU1JCXl0d4eDipqans3r1bY4JEzmFz58xh/PjxVFdXa5VbRFyiovsc0zFCrLi4GO+ibViooNVh8MHRUDA8WLt2Lfv37ycwMJDS0lJWrVql5FJE+hyLxcKcOXP45qzJANS0GEw+b5ZLBXfnJmrh4eHk5eVRU1NDUFAQI0eOxN/fn9LSUqqqqli1ahVPv/FfnsosZGtjBCPGTqK+vh6bzdbbb1FE+qiMjAzKy8uJjIykubkZHx8fd4ckIn2ctpefYzqPECspKWHB+Cr+aQvjQK0n/95aREJbFd7e3tjtdpqamtiwYQNTp05l9OjR7g5dRKQLwzBIiI0izORNRX0LBbYGUmK8u31dRxO1GTNm0NjYSE5ODpmZmQCUl5cTFRVFYmIiSUlJ/HNzCauK2juiryut4N87s7l2cBWpaqYmcs4KDQ2ltLSUQ4cO4ePjQ3Nzs7tDEpE+Tivd56COEWK1tbXs2fw5w+t3A7DdYxgOv2B8fX2JiIigra2Nffv28d5772m1W0T6rCHh7R3MD9vqXLq/89ixjhXz6dOnk5qaynnnnUdaWhpNTU28u+UQq4p8AZgxNISYIC+qm+GFA/4Ul2ml+1Q5HA7Ky8spLCykvLxc//si/c7hggIOHTqks9wi4jIV3eeo888/n4svvpi2tjaM3E8IbaukBS+2GsMZPnw4/v7+RERE4OHhwTvvvMPatWvdHbKIyHHFm9s7mB8sq3fp/o7u49XV1ZSXlzt7V8TExDjHgm3ensPK0hAAvhHvycKYCn4yqolAjxZq8eNva/JULPaQw+Fg586dPP/887z66qusW7eOzz//nDVr1mC1Wt0dnojLHA4HgwYNwsvLi5qaGm0vF5FuaXv5OcowDC6++GK2bdtGRcU+Lo6s5DVbCAdbQ9lcUkRITRXh4eGMHDmSjRs38uijjxIaGkpqaqq7QxcR6WJYZCAAeaW1Lt1vNptpaGjg1VdfJS4uztnp3GQykZycTFNTE3s9hlDbApG+bfxgbCiDYyzs3buXeWHFvF0+iE9LPNmwZQfTJ43rtfc1kFitVt59910+++wzfHx8CAsLo6CggEGDBhEbG0tWVhbp6ekunckXcbf4IUNoaailurqa5uZmrXiLSLe00n0Oi4mJ4fzzz6euro4DWz4jqS0fgDVVEeBjwuFwMGrUKAYNGoTNZuP3v/89W7ZscW/QIiKdOBwOLKb2FefdRRUurT4XFxfT0NBAY2MjJpOJqVOnMnXqVBwOB6+++iqHi0ooCUkGYLKvlQN5ubzyyits3ryZCZEexJrstOHJkx/u1Gq3C6xWK//973/ZunUrU6dO5Y477mD69OkEBgaya9cuNm7cyM6dO/nss8/07yn9Qsf2ci8vL1pbW6mqqnJ3SCLSx6noPsfNnj2bcePG0dzcTGLDPgLtdTTgw5bWwYwaNYrq6mrMZjPDhg2jtLRUhbeI9BlWq5U1a9ZQVbAXaF/p/jgj46RblR0OBzk5OSQnJ7No0SIMw2Djxo1s3LiR+vp6/Pz8KCCSFocH4T5tXH3BWACmTJnCbbfdxg9+cDU3TIsDYHOlHzt27ur9N9qPORwOdu3aRUlJCcOHD2fOnDnk5+cTFxfHj3/8Y2688UZiY2Px8vJi+/bt5OTkuDtkkW51bC/39/enoaFBHxaJSLdUdJ/jwsPDSUtLw9vbG18vDxZEVACwpzWSLQXVFBQUEBkZyeDBgxkyZIgKbxHpE6xWK9nZ2QQFBfHteefh7WnQbDdo8gwgOzv7hIV3R+fypKQkYmJijmmitmjRInY1BAOQ5FVOTU0NKSkpzJs3j7CwMCorKwlvOEKAl4NGw5f/bNijhPskbDYbJSUlBAYGEhMTw+4DBbx00I8Pjwbi6R9ESkoKgwcPJioqCh8fH3bu1O4B6fvihwzB398fm81Ga2uru8MRkX5ARfc5rmOEWFRUFHv37qViXxaJtCerH1ZE4BcQRGRkJB4eHiq8RaRP6FitjoqKIj09nchwM4kR7ee6/aMTiYqKIicn57jFW+fO5Q6HA5vNRmNjI35+fpjNZsqaPDlQY2AA5qp9bNq0icjISI4cOcI777zDiy++yOasLxjlXwPAemubZnafRGNjIy0tLQQFBVFZWcmzm6vYVNTM3z87yB2vbaW5uZn6+nqKi4sxm820trbq31P6vI7t5S0tLe4ORUT6CTVSE2JiYli8eDF/+tOfyM3NJbK+icK471DnGUhBUAohzfn4+fnR2NjI4MGDATh8+DC///3v+e1vf6vmaiJyVnWsVqempjqboI2IDmJvSQ17imu4akISmZmZ2Gw2wsPDu7y2o3N5bm4uRUVF1Nf/r+O5yWRilbV9RNh5iaGMs8ezbds21qxZQ35+PqGhoQwbNozU1FRWZ+1hc1YL+xv8yTuQf8zfkXZ+fn7U1dVRWFjIkXoP9vrFO3+2Zu9R3jAOkL97N1arleHDhxMYGOj8YESkr2pqbMJwdxAi0q9opVsAmDhxIr/85S+JiIigpCCfoeVfALC9NZparxCam5vx8/PTireIuF3n1eoOo2Pat4TnFFU7rx+veOvoXP7BBx8QGBjIjBkzWLBgATNmzMDPFMAHu8oB+MH0RGbOnEl4eDgFBQWMHj2aq6++mlmzZlFcXEyUdxPh/p604knGzgJtiT6BpqYmbDYbLS0ttFnGAJAc2MBgz/bGU+tLDBwOB/Hx8SQnJ7N//34qKyvdGLGIiMiZp6JbnFJTU/ntb3/LoEGDqNu7HnN9AQ48yGyKw8vbR4W3iPQJHavVNTU1zmtjYtpnau8sqnJe77jveBwOB1VVVRQVFVFeXo7D4WBbSTP1Di8CvRzMGTWIlJQUEhMTKS4uxm63k5WVRWZmJkeOHGFwbAxjze2F9s5KT22JPg6Hw8Hu3buZNGkSo0ePZm+1NwAe1l0kGkcB2FzUiKenJ1dccQVDhw4lOjoaq9WqDzFERGRAUdEtXXQuvH13vYOnvZlygtncOAgfn2ML77i4OAoLC7n77rtZs2aNEiUR6XVmsxmTyURubq7zmdOx0n2ovJ4vc/ZiMpkwm83HvNZms9HQ0IDZbGbTpk289tpr/O1vf+Opp55i5e72RpKTB0FNVSWGYTBx4kQiIiIwm80EBQXR3NxMY2Mj69atw7O4vXP5l2VQV99wlt59/9FxDGDatGmknjebsjY/cDiw7cqkKjcbgCa/cOZd/C1aWlooLS1lzpw5NDQ06EMM6dOaWlqU74hIj6jolmN0FN4xoSZC8v4LwE5HHAcb/LoU3vX19djtdgIDAzl8+DC/+c1veOyxxygqKnLzOxCRgcwwDFJSUigpKSErK4uKigqCfD2wBLefx95y8CgpKSnO896dHTp0iLy8PEaNGsVtt93G7bffzpVXXsnICZPZU+UJwLQoh3Nrenx8PElJSRQVFZGRkcGhQ4cwDIOxY8fys0UX4+8FdW0efJFXcvb+AfqJzscAipp8AEg0+3DJ/Au4eM4MzD5tYBis21lATU0NaWlpJCUldXmtSF9UXl5OaWkpzc3N7g5FRPoJFd1yXB2F91DjKAHFW8EwWO8YydEG8PHxca4WDR48mNTUVNLS0vD09OTtt99m6dKlbN261d1vQUQGMIvFQlpaGjU1NWRmZrJq1SqivNsLtdaQwVgslmNe43A4nA3RRo0ahdlsJioqitGjR1MWmIgdg4RAO1H+DufWdLPZTGxsLPX19cycOZOFCxfyjW98g/nz5zN2dDKp0e2Ffsaeo1r5+prOxwC+PNJ+hnt8XBjjxo3jiiuuYHJC+06ENnMCc+bMwWKxuHQ0QMTdIiLC8fLyor6+XiPDRMQlKrrlhDoK7xG12/GutdJsePOJI4XKhhaam5uxWCyYTCZ8fHyIjo5mzJgx+Pv7s3XrVh544AE2b97s7rcgIgOYxWLpMmd79tgEAPbZjp8E22w2vLy8GDZsGHl5ec4i2eFw8Eb2EQASKaGtrc25Nd0wDCwWCyUlJXh4eBAQEEBwcDAHDhxg5cqVxNC+DXpnmUZdfV3nYwDbj1QCkDZskPPakIA2AI7Ue2AY7Q3VcnNzT3g0QKSvcDggLCwMb29vmpub9YGbiHRLRbecVGpqKvf85tckl67Ds7GKGsPEJ22j8PQLcP6PjIeHBw0NDVRVVeHp6YlhGOTk5HDrrbfyxhtv6H+MRKTXGIZBeHg4sbGxzEyJBWDzoYoTzug2DINJkyZ12Zr+xf4yDpTV4esJgxoLiI+P77I1PTQ0lOHDh2O323n33Xf505/+xAsvvMC2bdtI8G9fXT9SZ2C11RzzN89lHccAiotL2Hao/QOJMZYgYmJiyMzMpPLgTgByCqvYuXMnH3/8McXFxSc8GiDSV5QUF1NaWoqHhwd2u53q6mp3hyQifZyKbulWamoqv/v1EkaWZGC0NmLzDGO91wQaWh3Y7XZqamooKSn5/+3dd3xc1Zn4/8+dXqXRqHdZ1ZZcZckNG2MgmI5JAoSFhUA2v28CZJP4m5CQRrLfzRoCBGcDG5INJSGhBkwzzb3hJndbslUsyeplJI2kGU0/vz+EJpYsV2yr+LxfL71s3bnl3Bnp0X3uPec5mEwmUlNTiY6OJi4ujvb2dn784x/z/e9/n4MHD8rkW5KkC2pyUiQ6jYpOt5+j7a4TXh/osmw2m8nMzKS6upoPP/yQp9/bBsA0e4hJOZmkp6efsJ3dbiclJQWNRsP06dP5+te/zo9+9CP+5cs3kWrpTxA3HJHjuodKTEwkOXcKLr9Aowiq92yhsrKS1NRU0iI1KAg6+wK8+NrbbN++XY7llsaEYDBAd3c3vb29BINBObZbkqTTkkm3dEYKCwv5zx8+SF7jp6g+T7xXBfNx+hVaW1sxm81ERkbi9/tJS0sjJyeHnJwchBC8/fbb/Pu//zs//OEPWbNmDe3t7TIBlyTpvNNpVExPtQGwtcpxwusDc3S/+uqrVFVVYTQa8QZhT3t/0nzDxChSUlJO6Npst9sxGo2sW7eO7OxsbrjhBrKystBqtdhsNqYn9Cfzn1V1yNg2DCdGACbEmCkuKmTevHnMnz+ftOREEkz97/2Cm77GAw88QEZGBiUlJTQ1NY1kkyXplPyBAEL0F1z0+XxotdqRbpIkSaOcTLqlM1ZYWMh//eD/MLl1DSq/m261jY9D02kjEpvNhtvtJiMjg87OTkKhEJMnT2bmzJnodDqqq6t5++23efjhh3nggQf4j//4D5mAS9IZePbZZ8nIyMBgMDB79mx27Nhx0nUPHTrEV77yFTIyMlAUheXLl1+8ho4gIQQOh4OGhgZmJpsA2FjedsJ6zc3N9PX14fF4MJlMzJ07l2DydHwhBZvai2irGrZr88C47ubmZnp6eujq6sLv91NVVcXKlSuJDvQf65AjiMNxYrJ/qato6QVgYpKN5ORk7HY7ZWVlJCQkUJTdX/CuqU+N3W6nuLiY+Ph4SktL5d8GadTq6e6hp6cHr9crx3RLknRGNCPdAGlsKSws5Fff/ybPvPgqG30T8ZvjKU+5Hr+/hjxtBdXV1QBkZGTQ0dH/1Mdut5OWlobL5aKhoYGSkhIOHDjA+++/T2ZmJvn5+UyZMoXY2FgURcFms5GYmEh0dLQc1ydd0l5//XWWLl3Kc889x+zZs1m+fDmLFy/myJEjxMXFnbC+2+0mMzOT2267je9///sj0OKLr6mpidLSUtxuNwDmHgAVmyvb8AdDaNX995aFEJSWljJp0iRSUlIoKytj69Zt/GWfAihMs7gwmYwkJCQMe5yh47rr6urwer3o9XpSklPRqCx0+RTKm5zExMRcnJMfIypb+5PuOEMIh8OBEAK3201hYSETXQ7e39/Ekeb+MbGKopCTk8PmzZvp6OggOjp6JJsuScNyuV34ep3hbuWyiKIkSacjk27prM2YMYP/Fx/PX/7+Ki/ur8eXPJNq3QTqVHFki3IKTN3hu78mk4n09PTwvN5paWno9Xq8Xi/19fVs27aNzz77jFAoFO6iHhkZSVxcHLm5uUydOpXY2NgzbptM2qXx5Le//S3f/OY3ue+++wB47rnnWLlyJS+88AI//vGPT1i/uLiY4uJigGFfH2+ampooKSkhPj6ewsJCrFYrXc5u/nh4Gz2+EJ/squTGWblA/0XxQKIXFRVFYmIia/bXUP9ZKXqNil/ecw0Hd+84aaJ3/LjutrY2pk+fzsSJE7FYLDgcDiY0HaWiW8WGI63Mm5J1sd+KUaupqYldlQ0AiK5GPvusEbfbjcfjwWq1khPnBaDi88Qc+uf1BjlXtzR6tbc7wOdGq9WGa9tIkiSdiky6pXOSlJTEj3+wlFlr17L0iefpzr2OgMnOYesMqoWXzEAjsZoAoVAvKpUKlUpFdHQ0sbGxtLW10dfXR1xcHEajMTwuKhgMEgwGOXbsGGVlZaxatQq1Wo3ZbEajOf2PqkajwWQynXPSLoSgu7sbv99PbGwsEydOJCYmRibu0ojw+Xzs2rWLRx55JLxMpVJx9dVXs3Xr1vN2HK/Xi9frDX8/VqrwDjy5jo+Pp7i4OPx7GhNt57qpybxRUs8/dhzlhuIcFEUJJ3ADCZ2iKLx1oP/p1JcLk0mNj+YgJ0/0jh/XXVRURGpqKmVlZbjdboQQxAbaqSCejeWt/FgIGTfoT7h37iyhyaUG4LbFC0gwCkpKSti4cSMVFRXkxqcB/U/DgyGBWqXIubqlMcPv9wPQ29t7mjUlSbrUyaRbOmeKonDVVVfxm0CA//frZXRGF+DNvByv1kKZegJllgnotZ0kinb03Q1k2lUI4Qt3OQ8Gg0RERODxeBBChP9o2Ww2AoEAPT094WnIIiIiTnsRq1ar8Xq955S0BwIBfD4fiqJgMpmwWq3Y7XamTJnCvHnziIuLk0/QpYuqvb2dYDBIfHz8oOXx8fEcPnz4vB1n2bJl/OpXvzpv+7tYjn9yPfT38aZpSbxRUs/O5gAtbe0kxMWGE7ienh6ioqJo6Orjk0PNAHx93oTTJnoD47o3bNhATU0NR48eJS0tjaioKOrq6pgYpfCZGyq6FfYfPMS0KZMv4NmPfkIIDh06RJ+ipy/gR61AZqwVvVbNVVddRXl5OWvXruX/+z/fQqdR4Q2EaOjsI9VulHN1S2OOrOUgSdLpyKRb+sIWL16Moij8z//8DxWf/hfqxMmIjFn4bRPw6qOoIQoMORwBdEE35oQ+jIEetF4nRuHF7WzHpAphjfCgCXrRKgKFEEn0/yFzOp0kJCSg1+uHPb7H4yEQCAD9d53PNmn3+Xy43W6io6NJSEhACEFbWxtlZWXs2rWLV199lcTERBISEoiLiyMjI4P58+czbdo0mYBLY94jjzzC0qVLw993d3eTmpo6gi06M0OfXB9vbmY0MRYd7b0+VpW28q9xsdjtdkwmExUVFRQXF/Pc+ipCAuZlRZMbb2Hnzp2nTfRsNhtZWVnU1NTgdruprKzE6/USCoWIjY3DrInFFVDz4Y4ypk4uuKRjQ2lpKdu2bSMYmwuYidIGWPn+u8yZM4ekpCSuvPJKXnnlFdavW0uG3UB5q5s9R5tornLQ0tJCUVHRJf3+SaObAhxfOu3AgQMj1RRJksYImXRL58U111xDQUEBzz//PGvXrqV18x8xW6NQp0whGJONz5qMS23Fpzbhw0SnJhoGHijZhtmhCKESIVRpAUTAR7ciUCsCRQhAoPDP/wf8PtQqFSqF/tdE/+sIgcnnxe/34dfrUKsUEIL+y7hQePug24VRUbDZInD7PHh7u9BEuUmc0Ie/qxl62tCqBa2trVRXV7Nt2zbef/99srKyKC4u5tprr6Wg4NK+wJbOv5iYGNRqNS0tg+d+bmlpOWmxr3Oh1+tPekNrNBv65Pp4GrWKr0yL449b6nl9Xzt3L+zv7p2fn09JSQnvr9vGqzs6AbhvVgI7d+48o0TPYDCg1WqxWCxERUVhMBhQFAWz2Ux7ezv2plZcqni213Rf0kXA+ruV78Tv99MV0AEQbxRUV1dTWlrKjTfeyOTJk8nOzqajowNryAworC0p5eZcE0VFRSQmJo7sSUjSKURERNDb6SUYDAKwdu3aEW6RJEmjnUy6pfMmOTmZn//853z5y1/mjTfe4LPPPqOnfg/e8i2YDAZSE5IhIgGXYsSjjUAVEYdfZaDHJ1AMFoIaI0Hl8x9JRUVIURFCA2oDwVMd+FT5grn/H9+pto/s/6cb+m8ERJy4isrbi8ndRLLShclxhKbaKsrKyqitrWXt2rVcddVV3HnnnSQlJZ3qSJJ0xnQ6HTNnzmTNmjUsWbIEgFAoxJo1a3jooYdGtnGjwNAn18cny0IIiiL7eF4FB5t6+eRQM9dOTiQxMZEZhYXc+9JuAiEVORY/fbX7UZnNZ5To2e121Go1Bw4c4Prrrwf6a0n4fD5iYmJIqKqhjngOtPl58803+epXv3rJ9YYZGGtvMBgIBoN0hvRAiIXT87hv9uW8++67fPDBB+h0Oux2O3PnzqVmWwO7NtcTtMRx5ZWzLqn3SxqbLBYLIa8rPCxlIPmWJEk6GZl0S+eVoihMnjyZgoICDh06xMcff0xJSQlVVVXUVh7B49mHzWYjIyODiFAEDQ0NBNvaSElJYcKECbS2dxBUVIQUDSFFjS8o6PMFsdrsCEXV/4xb6Z/iR6Dg9fno7unFFmVHrdEiUEAJPwtHoODs7sFisfS/rvQv4/P9+PwB+vo8RETaQKXCJ1QEFS0BlZag2kif2oxPpSekt9Crz6ECUCJmkJjcQGbLdnTBPjo7O3n//fepqanh/vvvZ8aMGSP7IUjjxtKlS7n33nspKipi1qxZLF++HJfLFa5mfs8995CcnMyyZcuA/qESpaWl4f83NDSwd+9eLBYL2dnZI3YeF8LxT6537txJTk4OVquVnp4eKioq8DjbuLsoiZd2NPPzdw+RnxiJ2tvFL989QFWPCp1KcF1cN4GAhUmTJp3Rk1VFUUhNTaWjo4M9e/YwceJEdDodPp+PAwcO4D5aDVl5BCKSeeJ3P2HdunWXXG+Yjo4OXC4Xer2exMREStwqIEReYgR2u51bbrmFF154gQ8++IDCwkLsdjuZ0f29DqodfSPbeEk6QwMFYiVJks6UTLqlC+L45NvhcLB//342bdpEaWkpR48e5ciRIwDhImcNDQ20trZiMBjQaDSoVKpw8TOzRoO+2zXscTReL70tLSi9kdiGGYvp9/vR9fURrR6+m6fX66WtrY1odzQ6nW5QwTWNRoPX66WuuY2Y7Om4LcnUEYtbZ6PRkE5LWjLZ7jIy7TU0NjRQVlbG448/zsMPP0xhYeEXfQsliTvuuIO2tjZ+8Ytf0NzczPTp0/n444/DxdWOHTs26MKvsbFx0E2fJ598kieffJKFCxeyfv36i938Cy4xMZGioiJKS0vZvHlzeLnJ1N9F+UsxcXxWu5nyll4WL9+ASRXE4e1PfJd9eSpXZlmpqKhg165d4UJpp5Oenk5CQgL19fV4vV60Wi1dXV10dHSQn5FEvdKHU2VEmzKZAwf2XXK9YTweDz09PZjNZhYtWsSzrxwFFOINgkAgQDAYpK+vD4fDwaxZs1i3bh1d7W5ARUVrL2vWrKGgoEB2L5dGNa/Ph9PpDH8/dIiLJEnSUIoQQpx+tfGju7ubyMhInE4nERHD9COWLhghxKAEvKamhra2NhobG2lubsbv96PVajGbzVgsFvR6/Wm7bB0/zVdERAQREREnJO0ajQaj0XjS7VtbW4H+7mLH/0yEQiE6OvqnFCooKMDv9+P1+XAb4zlizKdT3f9HNsVfT173blw9TpqamoiJieGnP/2pTLzHEBkX/mksvhdCCDo6OvB4POH5tAeeKrd2e/j6izspbeqfCs2sU/PozQXcXpQa3nbnzp309PRw5ZVXnvZptMPh4OWXX6aiooKYmBjsdjsulwuNRoNGo+HdOi21+kySPdUk1q9HrVbT29tLMBhk6tSp/Mu//AvTp0+/oO/HSHI4HLz//vvodDpmzL2c6/64DwXBE7ND6DUKvb29VFRUoFarSU5OJj8/n4zMLC57ejv+oOA/igRqr5NFixaN+xsUY8lYjAsXwsD7oOhMCJ87vPyee+7hL3/5ywi2TJKkkXKm8VE+6ZYuGkVRiImJ4corr2TRokU4HA6ampro6uqivb2d/fv3c+TIEVpaWuju7sbpdJ7ROKlAIIDb7aa3t5e2trazStqhvxuuy+UiGAxiNpuJjIxEpVLR29uLz+cLJ9zt7e3o9XrMtFDka6czZiq7gunUa1Pw2gzMNu4GoKGhgV//+tcy8Zaki0RRlJMWLYuLMPCXuybx14+2kpE7iYUFqcRY9IO2zcnJYfPmzWdU/Mxut5OWlkZtbS1Op5Pu7m58Ph8GgwGr1UpMQFCrz6TLkMjlOTnY7XbMZjPHjh3D5XLx/vvvExcXN24TyoHpIDdu3MjRXjVgwa4HlQiQlJROR0cHer2eQ4cOkZycTHFxMc3NzcQaoNEFja4Q2vZm/v73v3PXXXeN2/dJGl/k33pJkk5HJt3SiBhIwGNiYsLLlixZMigRP5tOGANP0M8laYf+p9oejwens/9ptV6vx2w2Y7Va6erqoqWlBb/fj8lkQq/XM2HCBCaqmqG7mT3mYtrUMezVT2FSRB/J9FfvfeKJJ3j44YflGG9JGmE+r5dcG1w3M2PQEJIBA9OODUxDdiqKojBnzhxKSkpobm4mNTUVk8mESqWip6eHFJ2HPYRwYWDClGL0/h66urqwWq1ERUXh8XjYvn07S5YsGZdjvJubm1Gr1QDUdHgAC5OSo4iI6GP9+vVER0eHq77PnDmT5uZmSkpKSLMZaXR50cWmMzc3llWrVoW75cuu5tJoZjAYyMjIGOlmSJI0ysmkWxo1hkvEz8YXSdqhv5tpTU0N+/fvp6mpKZyAl5WVEQqFUKvV2Gw24uPj6evro729HbUQzNbp2aqdTr06EXPEVCYaKwBobW3lhRde4JFHHpFPayRpBJ1qerGB5cevdzpJSUncdttt/OY3v2Hbtm2kpqaGx9ZbrVZi6KGVSPY2e7G1H8HpdKLT9U+dFQwGqa2tHZdTig1ULs/Pz2fatGn89O19AKh6WujpUQiFQjQ2NpKYmEhqaipWq5U9e/YQHx9Pvl/NtoZmdhyuIzMzgM/no7a2lk2bNnHbbbeNyxsU0himKJhMJpTP/7XZbCPdIkmSRjmZdEvjxhdN2gEWLlwYHns+tOt7aWkpVVVVlJeXU1lZSXp6OpMmTUK4G0ju7aI+5UqOaDJI1LhISlITCAQ4ePAgr776KkuXLpUXjZI0Qk43vVhFRQUmkwn7MMUYT2bGjBn88Ic/5IknnqC+vh6j0RhOrONsHbSqIjnYFmCW30d6ejqZmZl0dnZSX19PXV0dtbW14y7p7ujowO12U1hYSFRUFMYt3VDfS5Tai9sdIjk5maNHj5Kbm0tHRwfHjh3D7XaTmJiIu+kgYMaJkXnzptDX14der2fPnj0UFBRQUFAw0qcnSWEpyUloRP/NIZ1OJ/++S5J0WjLplqQhTtX1ff/+/axcuZJ169bR1taGWq0mFAoxOS8Pk6qF8lA8JZp8/k92ImlpaWzdupXNmzezePFiJk+ePIJnJUnj26mKqZ1uerGWlhaKiorO+sK5sLCQhx9+mBdffJGamhoaGxtxOBzoEzWQPIHGoBWD0URsbCx+v5/W1lYyMzNpbW2ltraWGTNmjKuL9YHu+QPd9Y85/QDcetVccuxaNBoNFouF9PR0PB4PZWVltLe3U1paigoTkEm1o4833niTuLhYbrzxRqqrqzl48CD5+fnj6r2Sxra8iZOw6tXU1dUNqmIuSZJ0MjLplqQzMLQI3Lp163jyySdpaWkhKiqKiIgIroh04HRH0+LV8GqVmlmeWiIiIjh8+DAfffTRJTNPryRdbE1NTZSWluJ2/7OasMlkIj8/PzweODExkZkzZ7J9+3ZKS0vRarVYrVbMZjNFRUXnPG54xowZxMfH89FHH7Fx40YOHTpEW+WHKLdeQUBvxmWMo6qqioaGBnQ6XbggY0xMzLjrYn58N36hM9PW4wWgKDcFi15DZ2cniqJgNBrJz8/n7bffZsuWLWRkZHD3Pbfy+l8q8AQVHO4A1r4+qqqqSEpKIhAIjLv3ShrbLBYLCdGR+Hy+QXFHkiTpZFSnX0WSpOMpisKVV17Jf/7nfxIfH09zczNtbW1YTQaK/QdQE6JR2GgwZmE2m1GpVGzYsIENGzaMdNMladxpamqipKQEq9XK/Pnzue6665g/fz5Wq5WSkhKamprC65WVlaFWq9Fqtfj9fgKBAJMmTfrChbqSkpK4//77eeqpp/jNb37DtYsXo++oAmBLtZPq6mrMZjNxcXHh469Zs4aSkpIvfP6jyfHd+A9/PkVbqt2IRa85oRt/QkICMTExGAwGmpubOVJ2iBhDfx2OaZcvZuLEiaxduxa73Y7Vaj2jIneSdLEYDAba2tro6+vDaDTKG+qSJJ2WTLol6RwVFhbygx/8AIvFwtGjR6moqMCm8jBdqQZgj8ggNmsKBQUF2O12Vq5cSWNj4wi3WpLGj4HCXfHx8RQXFxMVFYVGoyEqKori4mLi4+MpLS2lsbExnJgvWLCAO+64g1tuuYWUlBR27doVTsy/iON7w/z617/m6vx4AFy2LOLj48nIyKCwsJB77rmH6667DpPJxPr168dVTBjoxt/c3Mx7G/tvKGTY9HR0dLBz505aWlrC3cQ7OjowmUz827/9G1FRUXi9XnLj+7ulN/QE6enpobm5GavViqIoZ1zkThpsoEZJQ0MDDofjrAuMSsNLSUkhNTWVQCCAWq0mMjJypJskSdIoJ5NuSfoCFi1axFe/+lWEEBw7dgyHw8Esm4csk5eAUHi1Ro/XH8BgMFBXV8eHH34oL3ok6TwZKNyVk5NzwpOmgfm3XS4X27dvP21ifj5/L6Ojo5k3wYYKgUttZcrcK7n22muxWq3U1NSwdevWcPfyjz76aNzFBI/Hw56jLQB01hzkf/7nf6ipqRnUjX/gyXVxcTGzZ8/G4XBgCvQ/Hf/sYDWhUIisrKxwcn42Re6kfk1NTaxdu5YtW7awbt06XnnlFZ5++mneeustNm3axIEDB2hvbx93P38XQ11dHR6Ph4iICHQ6HXq9fqSbJEnSKCfHdEvSF6AoCv/yL/9CVVUVVVVVBAIBhAgxsbuEY6pierVRNMfMJKevjLa2NlasWEFWVhaLFi0a6aZL0pg3tHDXUAPF0vx+P1dcccVJE/PNmzef1zHDiqIwKTuD6JJS2lRRVPssRFVWYrFYMJlMZGVlcc011/DOO+9w4MABSktLx0V17oGu/hkZGWib+qCplxsum0G2zklfX9+gdQeeXPf29rJgwQJ27txJp1ML9UF61Vays1M5cOAAWq2WmTNnyu67Z2ngs1Cr1bS3t1NWVkZZWRm1tbX09PQQExNDeno62dnZzJw5kwULFsj50M+Cz+uj1d1NIBDAarXi8/lGukmSJI1y8km3JH1BSUlJ3HHHHZjNZjo6Oqirq0Mf8jBb1T+m85BIRpVUQHx8PJ2dnTz22GOsXbtWPl2QpC/o+MJdwxlIuAeKpg1nYPn5HjOcnp7OpMgAAKsONVFVVRUuuJSTk4NKpSI9PZ2oqCgOHjw45uPB8V39Z84s4qijP8m+umgSV199NQkJCYN6FBw//jshIYHi4mJSrGoAKlp7ePvtFYRCIRYtWiSTwbM08Fmo1epwpXxFUZg4cSI33HAD119/PdnZ2WRkZCCE4NChQ3z66afnZZjFpcLn943531lJki6uEU+6n332WTIyMjAYDMyePZsdO3acdN1Dhw7xla98hYyMDBRFYfny5RevoZJ0CgsXLuSGG24IF2gSQpCp6yZX0w4ovN8RR5MbbDYbjY2N/OQnP+Gpp54aV+M5JeliOz5xG3oBPFC4KyIiIvzEezgDy8/3mGG73c5lEyIAaAlZuWzRl8jKygKgsrKSt956i5KSEjo7O2ltbaWjo+O8Hv9iO76rf0OXB7cviE6tIiPGHO5R4Ha7w+c5MP67paWFnTt3YjAY+Mo1C1Ap4A4oWGISueuuu0hKShrhMxt7Ojo6cLlceDweWlpa0Gg02O120tPTufXWW/l//+//UVRURFxcHKmpqcTExNDT08OhQ4fGXCI5UteQ3d3OcDHGnp4edDrdOe9LkqRLw4gm3a+//jpLly7l0UcfZffu3UybNo3FixfT2to67Pput5vMzEwee+wxEhISLnJrJenkFEXh+uuvJzU1FY/HQ3p6OpmZmdyTrydO6caPhsqkL5FbOI/LLrsMlUrFG2+8wdKlS/nzn//Mxo0b5Rg7STpLQxO3zs5OAoEAnZ2d4cJdc+bMwWw2nzIxvxBjhhVF4aYr5hApegmhsKXWRUVFBQ6HgyNHjoTnE3e73Wzbtm3MVzIf6ClgsVjYWdEAQIbdgEbV3y18uB4FiYmJFBUV0dPTw+bNm1m/ZhXR+v7PKGnSTJlwnyOPx0NdXR07duzg2LFjNDc3U1dXR3NzMxEREURGRpKcnIzFYkGv16PX69HpdLS0tIypmz8jeQ1pNlvQ6XQ0NTXR29uL1+v9QvuTJGn8G9Ex3b/97W/55je/yX333QfAc889x8qVK3nhhRf48Y9/fML6xcXFFBcXAwz7uiSNpKSkJG644Qb++7//m82bN5Oamoperye/s5c++yJ6hIFVYioz9W7MZjM1NTWsX7+eNWvWYLPZiI6Oxmq1EhUVRUZGBrNnzyY2NnbQMRRFwWazkZiYSHR0tBznKF3yBhK30tJSNm/eHF5uMpnChbsURWHnzp2sXr2apKQkYmJi0Gq1VFZW0tLSQlFR0QX5XUpKSuJLuVH8o8LPyxvLuEZ7GI1Gg81mY9q0aej1euLj43nttdfYsGEDU6ZMGbOJpsFgoKOjg5UrV7K2UQ2oiMTF2rVryc/PD/ckGNqjIDExkYSEBDo6OvB4PBS01LK+spNWn3YEzmJ86Orqory8HJ1OR15eHgaDAY/Hg8fj4ciRIwAYjUasVit+vz+8nd/vH1NTs43kNeTqNWtQ+fuIjo7GYDDQ2dn5hfYnSdL4N2JJt8/nY9euXTzyyCPhZSqViquvvpqtW7eet+N4vd5BdyC7u7vP274laaiFCxdSWVnJJ598QkdHB0ajkWiLmRv05awT+bR4NWzWzyYhVUM6Cj6vB6fTiUajIRAIUFNTw6FDh1izZg3PP/88ZrM5fJGq1WqJiIjAbrcTFxdHeno6U6ZMGZSYCyHo7u7G5/Oh0+mIiIg4q2TiQmyvUqnkjQLpghpI3BwOB83NzQAkJCQMKozm8XjYv39/+O+BXq8nNzf3gheQ+vcll/GPJ9bTpYuls+8QqTEW8vLyMJvNJCQkUFNTw8yZM2lpaWH79u0sWbJkTP6OeL1e6urqCIVC+IyTAAfzCjKwWt3s3LkTjUZz0h4FiqKEP6vCCW7WV3ZysMF5kc9gfBBC0NTURFJSEh6PJ1xV22AwEBMTg9lsZu3atSQlJaHRaAYl2QaDYcxMzTbS15DBQICAz0dTUxNGo5FNmzaRm5sr6w9IknRSI5Z0t7e3EwwGiY+PH7Q8Pj6ew4cPn7fjLFu2jF/96lfnbX+SdCoD3cyrqqo4duwYdrudpKQkIiIiMDWU825vDA5tHI1xszHZ80noLWeSu5ajhw8ghCApKQmVSkVfXx8Oh4O+vj6MRiMWi4WoqCj8fj9tbW2Ul5ezatUqQqEQBoMhnLT7fD5CoVC4PSqVCp1Oh0Zz+l/1C7G9VqslJiaGhISEk94oON7Jkn75hF86nebmZkpLS8PFyqqrqzGZTERHR1NXV0dGRgZXX301fr+f9vZ2GhsbT6iofSGkRZvJsWup6PDTHZHF1VdPx2KxUFVVxb59++jq6mLChAl0dXVRW1t7XquoXyxCCMrKyigsLCQQCHBofxcAU9OiyU5I4tChQzQ0NHD//fef9nd3SnL/fMcHG+UN8nPR0dFBX18fN910E2+99RYVFRXExsZiMBjo6uoK35iy2+10dHSEh1woikJmZuaYmZptNF1DDsSRkpKSQdPiSZIkHW/cTxn2yCOPsHTp0vD33d3dpKamjmCLpPEuKSmJ22+/nd/85jfs2rWLxsZGjEYjer2eucFjHAskUWaYiFtj5ahtJkcjC9FHziMi0IUI9KD1d2MKeojP8tF87ChK0Et+QQF9bjcOhwOr1YrZbA4XcPH5fGi1WtxuNxEREej1etRqNcFgEK/Xi8/nw2g0nrLQi8/nO+/bq9VqtFotvb291NfXD3uj4HgnS/oHEqfjn/BPnTqVnJwcmYRLwD+nR4qPj6ewsDBcOK28vJwPPviAwsJCiouLwz8n8fHx5Ofns3PnTkpLS0lISLigP0M3T0/iqbW1VAWiOHz4MNXV1dhsNjIzM8nKysLlclFbW8uxY8eora0dc0n3QBG1+fPn0+bspfGz/QC0Hi5hSxVERUWhUqnOaC7jyZ8n3VVtvbi8Acz6cX+Zcl4NPLnOyclhwYIFvPHGG2zfvh3ovzmi1WoRQtDV1YXRaESlUmE0GsnMzKSgoEDG0iHO9BqytbWV+Pj4ixJPJEkam0bsr1lMTAxqtZqWlpZBy1taWs5rkbSBIiGSdDHNmDGDH/7whzzxxBPU1dVhMBhISkpCr9czgWaS3S3Ua5OpEgm49Xa85gTaGObn/vO/7c0AUSGUJIFCCEWEPv8XQiKERwgUFHwqBf+QXYhQiB4EapUaGKZAm4BQKAiAX6XCT//FgoJAfL59LwKVSs1wlxGCge0V/CoVgc+Xq9QqQiHx+dzlov+iG0EoJBBCEFAp8PkehehfpgVQFBQFBmpeBRRoVVS0CMGhUAjhECjr3Wg2HUStOYxGo0av16PV6lCrBteG/PYVWfzr3IyTfk7S2Hf8VFXHJ9ZRUVFkZWWxefPmYefQvVBzdA/n9tlZ/HZtDe1E0BkMMXv2bDIyMmhububo0aNs27aNlpYW3G43u3btYsaMGWPqov34+dIPtffHkuRIPZfPnoTBYCAiIoKPP/74jMYLx1r1xEfoaen2cqixm1kTxsaT19Hi+LH1arWaWbNmsWvXLmpra3G73XR3d9Pa2kpsbCxpaWlkZ2dTUFAw5ubpHulryMR7nkLR/PNG9Iqgwo5VTrxeL7ptq0/4WyRJ0thyW1Eq3/9S7nnd54gl3TqdjpkzZ7JmzRqWLFkCQCgUYs2aNTz00EMj1SxJOm8KCwt5+OGHeeGFF9izZw/d3d1kZ2ej0+kIBoPom7YzSQicPgXzhOl0K2a6MeJRWwiodARUOoKq44oJKSqEAgL1ObUndPpVCJ7jayddR0U4ygx9bbj67GKY14auN5CKBD7/8gpweQDPiYlVr/dMWi2NZQNPWQsLC1EUBSFEuChXZ2cniYmJCCGorKzEZDJhMBiw2+0oinLB5ugeKj7SyPxMG5uOOll5xMllU7KorKykubmZ3bt309nZSTAYxOl08tprr2G32/nKV75yQdt0Pg2MA+7u7mZref80iJMTLSQlJaEoSrjI1JmMFxZCMCnOREu3ly2HGyjOiBpTNyBG2vFj62+55RYiIiK4+eabKSkp4fDhw/T19aHVaikqKiIqKmrM9hYa6WtItdmOSm8atKy5xwcoMMxNPkmSxpZuz9BHWF/ciPbbWrp0Kffeey9FRUXMmjWL5cuX43K5wpUo77nnHpKTk1m2bBnQ34W1tLQ0/P+Ghgb27t2LxWIhOzt7xM5Dkk5mxowZPPLII7zyyiusWLGC/fv3ExERgcFgwGazIYTA395ErLsGY28vccdNaaQoCgaTmZr6JqyRNkwmMyFFhUCFUBTE5zP++QMBurq6iImJRaU6/sKp//8hEaKttY2IyMhhL3o9Hg/d3d3ExMaiUlTHb9q/fShEW1s7kZERJ93e6ewmNjYG1ed399Xq/hsDgUCAUEjQ1tZKREQERqMxvBxApVLj9/vo7OwkKsqOVvvPmww6nRaNRkOHo4POrv7XY2NjcLv76OrqxOPxYLfbUas1OJ1O+vrcGAxGYmNjuP7665k5cyaJkcaz/MSkseb4p6xNTU2DxnV3d3ezZ88e/H4/Tqcz/DTbZDKdsqL2hfCNhblsOrqTWlUi//vCX9BrFNra2khISGDx4sXhquYvvfQSf/vb38jMzGTGjBkXvF3ng91up6+vj1dffZUNvemAgsnTxtq1a5k0aRL19fVnNC3bwOdnC7gBFWsP1DJV10p+fv6Yego7UoaOra+srCQnJ4eIiAiKiopoaGigu7ubf/3Xfx2zVfKPN5LXkNadf8bl9tDU1BhetmbNWvbt3cvUaVOJjIw8T2cpSdJIiLac/17SI5p033HHHbS1tfGLX/yC5uZmpk+fzscffxwujHHs2LHwRTxAY2PjoIuQJ598kieffJKFCxeyfv36i918STojSUlJ/N//+3+ZOXMmL7/8Mk1NTeFiacFgEIfDQVtbG3Z7f9KpUqnQarXY7XacnR14ezoxqgWoggztsKYoCpFGIx6PA60rNOy4a5/Ph7qnBbMxiF45MYiofV7cPW3ojMGTbq/pbsFs8KNnmO29A9sHwtsHg/1PmA0aDT6fD72rlQhTCL2vv+DMwHqBQAC3143X00G0okMV+ucZagIaCIBa48XndWBHS0RAQ9DVSYJOISLGhhBBdDo1XYEQ9Z3t+Lp9VBzdxx/2bOLGG2/k3/7t3yAi+cw+KGlMGkiYKyoqqKysHDSue6COgMPh4Pbbb2f27Nn09PRQUVFx2ora59vlObEkR+ppcEKHdQIc3UpsbCwzZszA4XAQFxdHX18fWVlZHD58mL///e9MmzZt0N/A0aq5uZm+vj76+jxU9/bfsbtp7mRCbVW8+uqrxMTEcM0115zyaerx4/JvuSybd2oOUu/RYrFYZIGqMzTQ6+Oyyy6jqamJgwcPUlFRgdVqRVGUsxpbPxaM5DWkp6mStuZmfJ/f4APQ9TYxMd7E/Py0MddzQJKkC2/EK5Q89NBDJ+0KNDQIZmRkhCttStJYoigKixYtIi8vj48++ohdu3Zx7Ngx2tvbcblcdHd309bWRkREBFFRUVitVmpra3E4HOh0OpxOJzqdDqvVikajCSfm0dHRaLVaPB5POHE//o/9QFfbUChEKBQathutEIJgMHhet/f5fAQCAaxWa7hC7sByRVGwWCz4/f5wcj5QtO34pH9gHO7xhdX6+vpQq9XhcXZqtZquri68Xi/x8fF0d3djMBhoamri9ddfZ8+ePTzwwANcc801X/xDlEYlu92O0Whk7dq1FBUVhcd1CyFobGxk6tSpHDlyhD179jBp0iQiIiLIzs4+q4ra54NKpXD33Awe//gINZo0FmY0ceWiRfT09HD55ZeTnZ3Njh07yMvLIxgMcuTIEbZu3cpll112wdv2RQyMqZ84cSLRmVpcK5vQqQTO6gOoVf03RYxG4ynH2Q4dl+8LhtCpS+l0B4jN7C/uJQtUnZ7H46Gjo4OSkhK8Xi9Go5Genh76+vqYPHkyubm5Zzy2fqwYqWvIo0ePDvo+KiqKlpYWioqK5M+oJEnDGvGkW5IuJUlJSdx///3ccsstNDU10dXVhRCCiooKNm7cSH19Pd3d3eHpjDQaDaFQiEAggNPppL29HaPRSFRUFFFRUTidTqqrq3G5XLjdblpaWoatPm42m095oTVQffx8ba9Sqejt7UUIgVqtxm63097eHr5REAqF6OrqAk6e9Pt8Pvx+P36/v7/wWiBAb28vms+fnhsMBnw+H319fZjNZhwOBzabDZPJFC5S1d7ezuOPPw4gE+9xSlEUEhMT2bBhAz09PXR1dWGxWNi3bx8bNmzAZrMxe/Zsdu/ezRtvvBEeZzwST/3uKE5j+apyOoNWjjjVzPN4mDBhAlarlddee43m5mYSExMxGAy4XC42btzIvHnzRvVFfEdHB3V1dajVaj5r0wJWUo0BfF4vkydPZv78+WzZsuWUxeqGjsvXa9RMT7Wxo6aDrUcdXJ97cQrejXVdXV1UVlaSnJzM/Pnzw1X8KyoqOHr0aPip71iZi3ssufzyy2VvDEmSTkkm3ZJ0kSmKQkxMDDExMeFll19+Offddx+VlZXU1tbi8XjCc1QPcDgc7N+/n5qaGtra2mhvb6e7uzs8PjoYDNLX1zfsPNv9XT9PPSfx+d4+GAwSCPR3OQ8EAifcKPD7/1mkYrikf+BGgxCCuLg4mpubCYVC2Gw27HY7brebrq4uNBpNeLoWm82GXq8nLS0N+Lyw09atvPTSSxQUFJCcLLuaj0c2m43s7GxCoRDvvfcedXV1VFdXc+jQIWw2GxaLBa/XG/59WrBgwYg89bObddwzL4P/3VTNUVMeGzZupCA/n6amJhISEvja175GbW0tTU1NGAwGKioqOHToEJMnT75obTxbJSUlrFy5kry8PKp00wHIs6uwWq0cPXqUiIgI4NTF6o4flz9gfk4MO2o62FTezh0zk0+7j0udEIKmpibi4+MJhUK4XC5CoRB2u53i4mJ27NjB2rVrycvLGzNzcY8lV199tUy4JUk6JZl0S9IooVKpyM3NJTf35FMULFmyBIfDMegp+fGEEHR3d+Pz+dDpdCck7qdzvrf3+/0cOHDgpDcKjjdc0i+EIBQK0djYiMFg+HxqMC16vZ7a2lp0Oh06nQ5FUcIXkklJSeGurGazmXnz5rF7925Wr17NPffcM6qfGkrnZqAieUpKSniYht/vx2w2M2nSJHQ6HZWVlWRkZOByuSgpKRmxp37/3+VZ/HVrDV5LEmXH9jJFpWLevHmkpaXx7rvvcvDgQdra2ujr68PlcvH73/+eX/ziF6PyhtGePXt46aWX8Hg8pKSl82ZN/3s5Jab/pplGo2HXrl2oVKpTvs8Dr/X09BAVFYUQgimx/ZcnmypaqTpajRBCPqE9hY6ODhoaGjCZTGzatIkDBw6QlJREdHQ0qamp9PT00NzczBVXXCFj4Hmm1+sxmUynX1GSpEuaTLolaQwZ7in5aHfrrbee8kbB8YZL+js6OsJP+Ovq6qirq+Po0aOEQiEiIyNJT0/H5/NRX19PWloaVqsVvV7fXwBOoyE2Npbo6GgcDofsnjpODYzrXrduHenp6VRVVREXF8fkyZO57LLLwk/9XC4XhYWF1NTUsGbNGiZOnHjRn/rFWvXcPSeD5zdXUxc1gxXvvMW8uXP48MMPcTgcaDQaIiMjmTVrFgcOHGDfvn388pe/5IEHHhhV1cwbGxt58803iYmJ4fLLL6dbH483pBCpV0g09CfcXq+XqqoqsrKyTvk+2+12TCYTFRUVpKSksHnzZg4fKUfHFFw+DT//3Yvk2dUUFRVdxDMcW2pra6moqGD+/PlkZmbS3t6Oz+fjwIEDbNq0ifz8fLKzs7HZbCPd1HHBbDYTGxuLoii4XK7wjB2SJEknI5NuSZIuqPNxo+D4J/yVlZXs37+fQ4cOcfDgQcrKyvD7/eTn53PVVVcRFxdHIBBAq9XS2dlJREQEkZGRpx2XLo1dA+O6169fT2trKz6fj2nTppGbm8vmzZsB+PKXv8ymTZuor6+ns7OTrq4uFi1aNCJP/b59RRZvltTRTSId9gJ2795NT08PsbGx6HQ6Fi5cSF9fH9OnT+fQoUNUVlby+OOP8/DDD1NYWHjR2zuUEIJt27bR19cXvsn17pFWIJGJEQHUKoWOjg4aGxtpaWnhyiuvPOX7rCgK+fn5fPrpp6xcuRKNRsPsWbOoPWZkTVUPrqgcVKoaVq1axTXXXCO78Q4hhGD37t3U19dTWVlJVFQUFosFlUrFFVdcQUdHB729vZjNZtlb4DzJz88nPj4et9tNU1MTEyZMGOkmSZI0ysmkW5KkUe/4xH3KlCnhJHzdunW89dZb7N27l46ODvx+P319fQQCAerr68MF3PR6PQkJCfKCcxyz2WwkJiZSXV1NT08Phw8fxmq1kpqaCkBLSwutra3U1dVhMplITU0dsad+MRY9D187kZ+9c5DO1AUUOH0UFFhITEwkNjaW+vp6XC4XsbGxpKWlYTAYqK+v59e//jU//elPRzzx7ujo4NixY/h8PhITE7l84RU8U18B7gCx3iY2bKjon6pQrSY9PZ309PTT7nPg97Ozs5O0tDS8Xi+ZWh9rUNFmSGbxVRPZuGED77//PpMmTQp/3tHR0Zd8d+n169fz8ccfo1KpaGhoICkpKdwdv7GxkaysLD766CMyMzPleO7zZMGCBYRCIfbs2UNOTg6TJk0a6SZJkjTKyaRbkqQxZyAJv+2227jssst47rnn+Mc//sFf//pXCgsLiYmJITY2lq6uLhwOBxMnTsRiscgLznHMYDBgNpvJyckhGAz2jwueMoXMzEygf4ofh8MRnn4vKipqRG/C3DkrjTdK6thf72S/fjKR7lKamppobm7GbDYzYcKEcE+NgVoGDQ0NPPnkk/zwhz8c0a7mbrebmpqacJHEv68uocNtJsqk5affuJUd27aybt06zGYz6enpZ/R719HRQSAQYM6cOcyePRuDwcBMtY5Xq3fT2uvn412V7N68mc7OTmJjY7FYLCQnJzNz5kwWLFhwyT793rNnD3/4wx/wer1cc801NDc3U1lZSXp6OkIIfD4fq1evprOzk/T09Ev+BsX50traisfjITIykuuvv35MDfmSJGlkyKRbkqQxLSkpiV/96ldMnTqVv/3tbzQ1NaEoCoFAAL1ez8SJE4mMjCQ/P19ecI5jdrudiIgIjh49SmZmJk1NTbS3t4eTbofDgd1uD09PNRLjuY+nVik89uWp3PLMJjqMyRzx9jJb6yQjIwONRkN7ezsOh4MpU6bgdDpJTk4mPT2dyspK3njjDeLj40lKSrro7W5sbOTll19m48aNaDQa9Ho9jrwlEDORLK2TgM9LWlpaeCz37Nmzz+j3zuPx4Pf7sdlspKeno9H0X55clWPj3YPtbGgIkRwRQV5eHrfccgstLS3s2LGDnTt34na7Wbx48SWXeA+Mq4+MjGTu3LksXLgQl8vFrl27OHDgQHgWCCEESUlJZ9TjQDpzCQkJZGdnc/PNN8u/LZIknZZMuiVJGvMUReGrX/0qc+fOZfXq1TgcDsxmMwkJCVgsFvLz8y+5C/JLjaIozJkzh9LS0nBl+w0bNoSn32pra+PYsWPU1dUxZ84cCgoKRvxCOT8pgl/dMpmfrDjIYV0uonY17e0lREZGYjAYmDt3LkIItmzZgsViAfq70dfX1/PRRx9x//33DzoHIQQdHR14PJ5wRffzeY579+7l1VdfpbS0lEAgQF5eHpaEdFbr8gDwHlrNr3+9Bp/PR19fH9ddd90Z3xgwGAxotVr6+vrCVcxDoRCZohHQUSfszMmdQmqMFYfDgV6vJz4+noqKCkpKSvD7/cyZMwdFUUhISDih2/mFfm8utoFx9Q6Hg1AoRGVlJT09PUybNo28vDxiYmJwuVxoNBpqamqIjY2VPX3Oo5kzZ1JQUMDkyZPl3xZJks6ITLolSRo3kpOTueeee8bVxbV05pKSkrjxxhv54IMP6Orqoquri7179xIIBFCpVGg0GhYsWDCqnoreOSuNTYcb+aisg4q4RYQaPmF+XP9c883NzWzZsoWUlBTy8/PxeDw4nU6OHj3Ktm3bsNvt5OTkkJCQgNfrZceOHXR1deH1etHr9URGRjJnzpyzeiI+XHIKcOjQIf72t7/R0dFBVlYWubm55OXl8X6TGdGnkEAX5oCTmpouzGYzN9xww1lVG7fb7cTHx3PkyBHKy8tJTU1l27ZtHNu7hShlOp0aO2ub1MxxHKGoqIi8vDzmzJnDH/7wBz777DN27NhBSUkJcXFx6PV6cnNzw93Om5qaKC0txe12h49nMpnG3M04IQQOh4Pm5mYqKip4+eWXqampwWKxkJWVxeHDh/H5fEyZMoVAIIDb7aaxsZG+vj4mT54s4+B5tGTJEtldX5KksyKTbkmSxhVFUeS0YJew6dOnExcXx/bt2+nq6sLj8RAIBMJPjkfDE+7jKYrC8rtm0fW/n7G1tpvKpC/RuOkV0rdvJzo6mvT0dHJycqioqMDv99PU1ERVVRWNjY0cPXqUqVOn4nA4cDgcJCUlYbFYMBqNAPh8PtauXUthYSHFxcXDFh47Psnu7OykvLyc7u7ucPfunp4evF4ve/fu5fDhwxiNRqxWKxkZGVS29HCorz+hz/ZVYY6MxGazYbFYyMjIOKsnq4qiUFBQQENDAx9++CEajYbMzEz0ej0xx3bQmXItbZF5HGusoLa2Fr1eT0lJCZs2baKnpweTyYTJZOK2226jtbWVffv28emnnzJt2jTq6uqIj49nxowZ+P1+2tvbaWxsZOfOneH3ZaSfhB+fUAPhp/XQPzRi//79bNq0iba2Nrq6uti3bx9NTU3ExsZSWFhITk4OkZGR7Nu3j61bt2K1Wjl8+DB6vZ5FixaRn59/0c7lUiBv5kqSdLZk0i1JkiSNK0lJSSxZsmTM9HjQa9S8+G/z+MZfdrKl0oFr5j3UVa8nQddFfHw8hw8fRqfT0dDQQGlpKd3d3QA0NDSgUqmoqanB4/FQW1vLVVddRWJiIuXl5ZSVldHW1sa6devIyMggLS2NvLw8Jk+ejF6vp729nZqaGrxeL52dnVRVVYUTfafTSU1NDTU1NbhcLnp6eoiOjsZqtWIwGAgJweqeBEIqhSnRCpdHJuB0Guns7MTtdp/TU8DExES+9KUv8Yc//IGGhgbq6urYt28fikpFhH0K3aZkXJNuZteeLbz77rsEAgF8Ph/JycnExcWhUqn47LPPKC4uZvLkyezZs4eKigouv/xykpOT2bNnT/hpdygUoqysjPLycgoLC+nq6kKtVtPb24vf78dqtZKbmxs+h+G6rA/sp6qqCqfTSWRkJFlZWahUqpOe49DkPioqirKyMjZt2kRtbS1qtRpFUdDpdBiNRrq7uykvL6eqqgqfz4dOp6OnpwdFUYiNjSU6Opq2tjYiIyPRaDRcccUVVFdXA+B0Opk0aRLXXXfdqP3ZlyRJulTIpFuSJEkad8ZajweDVs0LXy/m0XcP8drOOnoyr+Sz3kZCldWkWFXhp7PR0dEsWLAAIQSbN29m7969mM1m4uLi8Hq9bNmyhYMHD+Lz+dBoNGRkZOB0OvH5fOzZs4dVq1YBoNVq6e3tRaPRYLVa6evrIzo6mlAoFJ5ur7y8nGAwiMfjQavVEhsbS1JSEmazmVpbIR1+G1qCTHKVUt7STm9vL0ajkezs7HMu2qXX6ykuLmbSpEm8++679PT09LfVuYu9xngqezT0OKzMtNlwOBykp6eTlZWFWq2mrKyMYDDIoUOH8Hg8lJeXEwqFCIVCfPjhh8yYMYP58+ej0Wh477332L17N+Xl5bzzzjsYDAZiYmKYM2cOXq+Xf/zjH7S3t5OTk0NaWhqhUIjo6GgKCwuZOnUq0dHR7N27l/fee4+Ojg58Ph9+vx+NRhPu/h4ZGYler8fr9eJ0Omlvb6e2thaVSoVOp8PtdlNVVYXD4cDlcpGcnEx+fj7JycmsWLGC7du3EwwG0ev1WK1WiouLaW1tJRQKYbPZMBgMFBQUUFFRQWtrKyaTCYfDQXd3NxUVFXg8Hq6//voRKbgnSZIkDSaTbkmSJEkaBfQaNcu+PIWpKTb+470DeCxJrBeJJLgbSXQfIjIyktTUVLRaLVarlWAwSFRUFBMmTGDKlCmo1WreffddnE4nM2fOZMKECXg8HioqKqirq8NoNGIwGMLFyjIyMoiLi+Po0aPhMcC7du1Co9EQERHBtGnTiIiIoLS0FI1GQ1RUFC2trXhyruaoPw6AJcluMrU2KiraiIuLIzY29gtVhvd4PCiKQl9fH06nkyVLluBwOKisrKSz9TOq4y+nJXo61QErHbtfISE+Ho/HE54eq6WlhcbGRsxmMy0tLXR2duJ0OomPj6etrY0DBw5QWVmJEAKbzUZnZyft7e2YzWaqqqrYvn07JpOJiIgIAI4cOYLb7cbn8+F0Olm1ahVJSUkEAgFqa2uJiYnBYrHgdDppaGigvb2dFStWYLfbMRqNhEIhVCoVgUCAnp4e9Ho9UVFRGI1GXC4XTqeT7u5ukpOTEUJQUlJCa2srWq0WrVYLQGRkJEVFRbS3twNQXFyMy+UiFAoRCATIzs6mvr6enp4efD4fDQ0NAFx55ZVnNa5ekiRJunBO3gdKkiRJGnHPPvssGRkZGAwGZs+ezY4dO065/ptvvsnEiRMxGAxMmTKFDz/88CK1VDofFEXhX2ansfaHi8g1uUFRaNYlsyf2Gg6m3MxhdQb6xFwOlZYRFRXFggULiImJobe3F5fLRVZWFrGxseGkzO/3o1KpMJvNJCcnM3369P6q4xYL0dHRxMbGolKpyM7OJj8/n0mTJpGSkoLT6aSvr4/Y2FimTJlCbGwsuvgs6rNv5aghF4AC/xEinZVs2bKFuro6ACIiIr7QuHmDwYAQgp07d2Kz2fjyl7/MrbfeyuzZs7F1laMt+wiAMk0Wbfm3U9vl4+DBg+zevZuamhp27dqFVqtlwYIFzJ8/n8jISEKhEFOmTMFisfDJJ5/Q0tKCz+ejsrISlUpFUlISixYt4vLLLwf6x7FPmTKFb37zm3i9Xvbv308gECAiIoKmpibWr1/PihUrOHDgAIcPH6aiogKfz0daWhozZ84kJycn/Hm4XC56e3vx+XxMnjyZ/Px8EhIScLvdBINBQqEQiYmJZGVlMWHChPCYeZ1Ox6JFi5gwYQJ+vx+n00lcXBxmsxm9Xk9ERET4xoBKpSIiIgKXy4Xb7SYuLo6pU6cybdo0WbFckiRplJBPuiVJkkap119/naVLl/Lcc88xe/Zsli9fzuLFizly5AhxcXEnrP/ZZ59x5513smzZMm688UZeeeUVlixZwu7du5k8efIInIF0rpJsJp7+Sj6/+dMrVGgyaNYm0KuJ5ACRHKgHddzNxCb1oeBC09tKQ0stERovNnv/k9eOjg6am5vp6upCo9EwadIkQqEQ0F+5OykpCa1Wi8PhIDMzE6vVisfjISYmBiEEbrebnl4XNQ43Dk0KLSlFNAkbACoRIKZ2LS2VW/hbby8A8+bNY/LkyeGK4efKbrcTCARoaGggOzub3t5eEhMTuf3224mJieGpp57CUbeO1pTLCcXl0RWbg8rbTLbOSXJvI6W7ttDV1UVHRwfBYJCUlBS6u7upqamhqakJv98fLtDW2dnJxIkTMZlM4e7eM2bMoLOzE4fDwfr160lJSUGn06FSqQgGg1itVlwuF6mpqcTExODxeDAajQghMJlMZGVlhcdtJyQkEBkZicfjweVyYTabKS4upqSkBEVR8Hq9KIpCWloaTqcTv99PXl7/9GsVFRXU19czceJEamtr6erqwmKxkJCQQDAYpLu7G7vdjsvlwmq1kp2djd/vp6GhAUVRiIyMPOM50iVJkqQLTxFCiJFuxMXU3d1NZGQkTqczfJdYkqRL22iNC7Nnz6a4uJhnnnkG6C/alJqayne+8x1+/OMfn7D+HXfcgcvl4oMPPggvmzNnDtOnT+e55547o2OO1vfiUiSE4IUXXmDTpk1Yo+Np1iVxtM9IpzaWkFp3so3QCh8hTy+Kvw+9SmAxaNCrIOj3EQz4EMEAPm8fJr0eRa1GpdXhDwg8/gAavREPOrxoCegjCan+eW9eQZAaamGCuwxnfSUWi4Xu7m4KCwt58MEHiYmJOS9J3u7du3n77beJi4sjPz+fhQsX0tvbS0lJCR988AGKovDxll2oZnwZtz130LbqQB+KuxONrweTKkBqUjwNtdWogj5Cfi+KCBLw+9BqtShCkJqagqO9HavFAoTweX0oCnR2dqJSqcI3t/rHlmsIBAK0trSiNxhISkyks7MTtVqNRqNBq9NiNpnp6uqis6t/6jSj0UAoFEJRVIRCIZKSEqmoqCQYDBIMBomMiECj0dDrcuHz+cicMIGQEHQ7nTg6OoiOjsZoNOJ0OtGo1UTabAQDATweDz6fDwCdTofFYqGhoYFgKERWZibzFyxgQkbGKd/nSKOWedkxZ/SZyLjQT74PkiQNdaZx4ZJ70j1wj2Gg+qskSdJAPBhN9yB9Ph+7du3ikUceCS9TqVRcffXVbN26ddhttm7dytKlSwctW7x4Me+8885Jj+P1evF6veHvnU4nIGPkaDF//nyqqqpob29nTl4cRYFONm56n/peQfzEQnyGaJrdAq/KTFBnBrUWL4DaCGojPqAnBIQABdB+/mUAx/EH0nDiFYHfB8FedO42psZqMHVWMDEllvLmViIjI0lJSQHgzjvvRK/X09PTc17O2W63k5KSQjAY5NNPP2X79u0kJCQQFRVFbm4uBw8exN/RyB0xbSRPSuONLUdowIZPbyekUoPehk9vww20OwFbwUmP1RQEoib8c4H283/N/f/UDyyPOm4jW/8/LQDxw+zU9s91hjriApJSwt+3Dvzn8+u0ltBx30cc9/rxNQE1gGWYnSf334Bo8sPmtfXHt35Y+YkRvPGtuadcZ8BojJEjQV5DSpI01JnGx0su6R64KEhNTR3hlkiSNNo4HA4iIyNHuhkAtLe3EwwGiY8ffFU/MIXUcJqbm4ddf2Du3+EsW7aMX/3qVycslzFyDNiw8qIdquoUr/3Xf/3XRWvH8ZYtWzYixx0v6oDIH53dNqMpRo4Eh6P/VpWMj5IkDdXT03PK+HjJJd1JSUnU1dVhtVrPqBtcd3c3qamp1NXVjemuRPI8Rhd5HqOL0+kkLS3tkiw69Mgjjwx6Oh4Khej4vFurjJFjjzyP0WW8nMelHCOPN3D+x44dG1c3H8bLz+lQ8rzGnrF4bkIIenp6Tjs94yWXdKtUqnCXuLNxfKXQsUyex+giz2N0UalGz4QOMTExqNVqWlpaBi1vaWkhISFh2G0SEhLOan3onxdZr9cPWmaz2c66vePlZ0Cex+giz2N0GU0xciQMnH9kZOS4+DyHGi8/p0PJ8xp7xtq5nclNuEs7ekqSJI1SOp2OmTNnsmbNmvCyUCjEmjVrmDt3+HGYc+fOHbQ+wKpVq066viRJkiRJknThXXJPuiVJksaKpUuXcu+991JUVMSsWbNYvnw5LpeL++67D4B77rmH5OTk8NjW7373uyxcuJCnnnqKG264gddee42SkhL+9Kc/jeRpSJIkSZIkXdJk0n0aer2eRx999ITul2ONPI/RRZ7H6DJaz+OOO+6gra2NX/ziFzQ3NzN9+nQ+/vjjcLG0Y8eODeruOW/ePF555RV+9rOf8ZOf/IScnBzeeeedCzpH92h9786WPI/RRZ7H6DJezuOLGq/vgzyvsWW8nheM73O75ObpliRJkiRJkiRJkqSLRY7pliRJkiRJkiRJkqQLRCbdkiRJkiRJkiRJknSByKRbkiRJkiRJkiRJki4QmXRLkiRJkiRJkiRJ0gUik+7TePbZZ8nIyMBgMDB79mx27Ngx0k06Kxs3buSmm24iKSkJRVF45513RrpJ52TZsmUUFxdjtVqJi4tjyZIlHDlyZKSbddb+8Ic/MHXqVCIiIoiIiGDu3Ll89NFHI92sL+yxxx5DURS+973vjXRTzsovf/lLFEUZ9DVx4sSRbtaYMdbjI4yPGCnj4+gm4+P4MB7i3VDjIf4NZ7zExKHGa4wcaqzGzNORSfcpvP766yxdupRHH32U3bt3M23aNBYvXkxra+tIN+2MuVwupk2bxrPPPjvSTflCNmzYwIMPPsi2bdtYtWoVfr+fa665BpfLNdJNOyspKSk89thj7Nq1i5KSEq688kpuueUWDh06NNJNO2c7d+7kj3/8I1OnTh3pppyTgoICmpqawl+bN28e6SaNCeMhPsL4iJEyPo5eMj6OD+Ml3g01HuLfcMZLTBxqPMbIocZ6zDwlIZ3UrFmzxIMPPhj+PhgMiqSkJLFs2bIRbNW5A8SKFStGuhnnRWtrqwDEhg0bRropX1hUVJT485//PNLNOCc9PT0iJydHrFq1SixcuFB897vfHekmnZVHH31UTJs2baSbMSaNt/goxPiJkTI+jg4yPo4f4zHeDTVe4t9wxlNMHGosx8ihxnrMPB35pPskfD4fu3bt4uqrrw4vU6lUXH311WzdunUEWyYBOJ1OAOx2+wi35NwFg0Fee+01XC4Xc+fOHenmnJMHH3yQG264YdDvyVhTUVFBUlISmZmZ3HXXXRw7dmykmzTqyfg4usn4ODrI+Dg+yHg39o2HmDjUeIiRQ42HmHkqmpFuwGjV3t5OMBgkPj5+0PL4+HgOHz48Qq2SAEKhEN/73ve47LLLmDx58kg356wdOHCAuXPn4vF4sFgsrFixgvz8/JFu1ll77bXX2L17Nzt37hzpppyz2bNn89JLL5GXl0dTUxO/+tWvWLBgAQcPHsRqtY5080YtGR9HLxkfRwcZH8cPGe/GtrEeE4caLzFyqPEQM09HJt3SmPPggw9y8ODBMTu2LC8vj7179+J0OvnHP/7Bvffey4YNG8ZU0Kyrq+O73/0uq1atwmAwjHRzztl1110X/v/UqVOZPXs26enpvPHGG3zjG98YwZZJ0rmR8XHkyfgoSaPHWI+JQ42HGDnUeImZpyOT7pOIiYlBrVbT0tIyaHlLSwsJCQkj1CrpoYce4oMPPmDjxo2kpKSMdHPOiU6nIzs7G4CZM2eyc+dOfve73/HHP/5xhFt25nbt2kVrayuFhYXhZcFgkI0bN/LMM8/g9XpRq9Uj2MJzY7PZyM3NpbKycqSbMqrJ+Dg6yfg4Osj4OL7IeDd2jYeYONR4iJFDjdeYOZQc030SOp2OmTNnsmbNmvCyUCjEmjVrxs3YibFECMFDDz3EihUrWLt2LRMmTBjpJp03oVAIr9c70s04K1dddRUHDhxg79694a+ioiLuuusu9u7dO2aDY29vL1VVVSQmJo50U0Y1GR9HFxkfRxcZH8cXGe/GnvEcE4caizFyqPEaM4eST7pPYenSpdx7770UFRUxa9Ysli9fjsvl4r777hvppp2x3t7eQXelq6ur2bt3L3a7nbS0tBFs2dl58MEHeeWVV3j33XexWq00NzcDEBkZidFoHOHWnblHHnmE6667jrS0NHp6enjllVdYv349n3zyyUg37axYrdYTxkaZzWaio6PH1JipH/zgB9x0002kp6fT2NjIo48+ilqt5s477xzppo164yE+wviIkTI+ji4yPo4/4yXeDTUe4t9wxktMHGq8xMihxkvMPK0Rrp4+6v3+978XaWlpQqfTiVmzZolt27aNdJPOyrp16wRwwte999470k07K8OdAyBefPHFkW7aWbn//vtFenq60Ol0IjY2Vlx11VXi008/HelmnRdjcXqHO+64QyQmJgqdTieSk5PFHXfcISorK0e6WWPGWI+PQoyPGCnj4+gn4+PYNx7i3VDjIf4NZ7zExKHGc4wcaizGzNNRhBDigmf2kiRJkiRJkiRJknQJkmO6JUmSJEmSJEmSJOkCkUm3JEmSJEmSJEmSJF0gMumWJEmSJEmSJEmSpAtEJt2SJEmSJEmSJEmSdIHIpFuSJEmSJEmSJEmSLhCZdEuSJEmSJEmSJEnSBSKTbkmSJEmSJEmSJEm6QGTSLUmSJEmSJEmSJEkXiEy6pUvG+vXrURSFrq6uC7JfRVFYsmTJF9pXTU0NiqKwd+/ei3I8SZIkkPFRkqTR44orruB73/veBdv/Sy+9hM1mOy/7Gog352N/GRkZLF++/Avv52T7Hmjr+Y7zo93GjRu56aabSEpKQlEU3nnnnbPexxtvvMH06dMxmUykp6fzxBNPnPU+ZNItfWHNzc185zvfITMzE71eT2pqKjfddBNr1qwZ6aYNMm/ePJqamoiMjATOb9AFOHLkCC+99NIJy7du3YpareaGG244L8cZOI/bb7/9vOxPkqQLR8bHfjI+SpL0RRw6dIjbb7+d2NhY9Ho9ubm5/OIXv8Dtdg+7/oQJE1i9evUZ7fuXv/wl06dPP2H5mdzoA3jxxRcpLy8/YXlfXx92u52YmBi8Xu8ZteVM9PX1YTabefzxx4mKisLj8ZywjtvtJiIigv/+7/8GYOfOnbz11lvnrQ1jicvlYtq0aTz77LPntP1HH33EXXfdxbe+9S0OHjzI//zP//D000/zzDPPnNV+ZNItfSE1NTXMnDmTtWvX8sQTT3DgwAE+/vhjFi1axIMPPjjSzRtEp9ORkJCAoigXZP9xcXHDXqQ+//zzfOc732Hjxo00NjZ+4eMMnIfRaPzC+5Ik6cKR8fGfZHyUJOlcbdu2jdmzZ+Pz+Vi5ciXl5eX8+te/5qWXXuJLX/oSPp9v0Pr79++ns7OThQsXXpT22Ww24uLiTlj+1ltvUVBQwMSJE8/p6erJrFq1ivT0dO677z5cLhdvv/32Cev84x//wOfzcffddwMQGxuL3W4/b20YS6677jr+8z//k1tvvXXY171eLz/4wQ9ITk7GbDYze/Zs1q9fH3795ZdfZsmSJXzrW98iMzOTG264gUceeYTHH38cIcQZt0Mm3dIX8sADD6AoCjt27OArX/kKubm5FBQUsHTpUrZt2xZe77e//S1TpkzBbDaTmprKAw88QG9vb/j1gacq77zzDjk5ORgMBhYvXkxdXV14naqqKm655Rbi4+OxWCwUFxefcBfT6/Xyox/9iNTUVPR6PdnZ2Tz//PPA4O6T69ev57777sPpdIa72/zyl7/kP/7jP5g8efIJ5zl9+nR+/vOfn/X709vby+uvv863v/1tbrjhhmGf9Azn6NGjLFq0CJPJxLRp09i6detZH1uSpJEl4+OpyfgoSZLL5eKee+7BYrGQmJjIU089Neh1IQTf+MY3mDRpEm+//TazZs0iPT2d2267jffff5+tW7fy9NNPD9rm3Xff5dprr0Wr1QL9MTQtLQ2TycStt96Kw+G4KOf2/PPPc/fdd3P33XeHY+3puN1u7r//fqxWK2lpafzpT386YZ13332Xm2++mbi4OG666SZeeOGFE9Z54YUXWLJkySWbaJ+Nhx56iK1bt/Laa6+xf/9+brvtNq699loqKiqA/r+dBoNh0DZGo5H6+npqa2vP/EBCks6Rw+EQiqKI//qv/zrtuk8//bRYu3atqK6uFmvWrBF5eXni29/+dvj1F198UWi1WlFUVCQ+++wzUVJSImbNmiXmzZsXXmfv3r3iueeeEwcOHBDl5eXiZz/7mTAYDKK2tja8zu233y5SU1PF22+/LaqqqsTq1avFa6+9JoQQYt26dQIQnZ2dwuv1iuXLl4uIiAjR1NQkmpqaRE9Pj6irqxMqlUrs2LEjvM/du3cLRVFEVVXVsOd2/H6Hev7550VRUZEQQoj3339fZGVliVAodNL3qbq6WgBi4sSJ4oMPPhBHjhwRX/3qV0V6errw+/2D1r333nvFLbfccvI3XZKkESPjozhhv0PJ+ChJ0re//W2RlpYmVq9eLfbv3y9uvPFGYbVaxXe/+10hRH+MAcQrr7wy7PZf+tKXxLRp0wYtKyoqCq+/bds2oVKpxOOPPy6OHDkifve73wmbzSYiIyPD6z/66KMn7EOIf8acPXv2nLT9gFixYsUJyysrK4VerxcdHR3C4XAIg8EgampqTvVWiPT0dGG328Wzzz4rKioqxLJly4RKpRKHDx8OrxMMBkVcXJz47LPPhBBCrFy5UiiKMmjfVVVVQlEU8emnnw7a/6ni8aVi6OdVW1sr1Gq1aGhoGLTeVVddJR555BEhhBB//OMfhclkEqtXrxbBYFAcOXJETJw4UQDhz+GMjn1ezkC6JG3fvl0A4u233z7rbd98800RHR0d/v7FF18UgNi2bVt4WVlZmQDE9u3bT7qfgoIC8fvf/14IIcSRI0cEIFatWjXsukODzYsvvjgo6A647rrrBl3wfuc73xFXXHHFSdtwqiA2b948sXz5ciGEEH6/X8TExIh169addF8DAf7Pf/5zeNmhQ4cEIMrKygatKy8qJWn0kvFx+P0eT8ZHSbq09fT0CJ1OJ954443wMofDIYxGYzjpfu21106Z+P77v/+7MBqN4e/r6+uFTqcLx5w777xTXH/99YO2ueOOOy540v2Tn/xELFmyJPz9LbfcIh599NGT7keI/qT77rvvDn8fCoVEXFyc+MMf/hBetmXLFhEXFyeCwaAQQohAICCSk5MH7fvnP/+5SEtLC68zQCbdJ35eH3zwgQCE2Wwe9KXRaMTtt98uhOj/HB5++GFhMBiEWq0WUVFR4pe//OUJf5dPR3Yvl86ZOItxDKtXr+aqq64iOTkZq9XKv/7rv+JwOAYVwNBoNBQXF4e/nzhxIjabjbKyMqC/K+IPfvADJk2ahM1mw2KxUFZWxrFjxwDYu3cvarX6C4/h+eY3v8mrr76Kx+PB5/PxyiuvcP/995/1fo4cOcKOHTu48847w+d3xx13nFEXo6lTp4b/n5iYCEBra+tZt0GSpJEh4+OpyfgoSVJVVRU+n4/Zs2eHl9ntdvLy8k5Y91QxVafThf//3nvvMX/+/HANibKyskH7B5g7d+4XbPmpBYNB/vKXv4THUwPcfffdvPTSS4RCoVNue3x8UxSFhISEQfHt3Xff5cYbb0Sl6k/h1Go19957Ly+99BJCCEKhEH/5y1+47777wutIJ9fb24tarWbXrl3s3bs3/FVWVsbvfvc7oP9zePzxx+nt7aW2tpbm5mZmzZoFQGZm5hkfS3NBzkC6JOTk5KAoCocPHz7lejU1Ndx44418+9vf5te//jV2u53NmzfzjW98A5/Ph8lkOqPj/eAHP2DVqlU8+eSTZGdnYzQa+epXvxouoHG+CufcdNNN6PV6VqxYgU6nw+/389WvfvWs9/P8888TCARISkoKLxNCoNfreeaZZ8JVgoczMA4JCBc2Ol2gliRp9JDx8dRkfJQk6Uzk5OQA/cnzjBkzTni9rKyM3Nzc8PfvvfceN99881kdIyIiAqfTecLygam1ThWPhvPJJ5/Q0NDAHXfcMWh5MBhkzZo1fOlLXzrptsfHN+iPccfHt/fee4/HHnts0Dr3338/y5YtY+3atYRCIerq6rjvvvvOqs2XqhkzZhAMBmltbWXBggWnXFetVpOcnAzAq6++yty5c4mNjT3jY8lbINI5s9vtLF68mGeffRaXy3XC6wPBateuXYRCIZ566inmzJlDbm7usFVqA4EAJSUl4e+PHDlCV1cXkyZNAmDLli18/etf59Zbb2XKlCkkJCRQU1MTXn/KlCmEQiE2bNhwRu3X6XQEg8ETlms0Gu69915efPFFXnzxRb72ta+d9QVrIBDgr3/9K0899dSgO2f79u0jKSmJV1999az2J0nS2CLj48nJ+ChJEkBWVhZarZbt27eHl3V2dg6afmvGjBlMnDiRp59++oSba/v27WP16tV8/etfB/qfWq5bt45bbrklvM6kSZMG7R8YVMgSIC8vj/r6elpaWgYt3717NwaDgbS0tLM6r+eff56vfe1rg+Lb3r17+drXvnbGBdWGU1FRQW1t7QlJe1ZWFgsXLuSFF17gxRdf5OqrryY9Pf2cjzPe9Pb2hj8DgOrqavbu3cuxY8fIzc3lrrvu4p577uHtt9+murqaHTt2sGzZMlauXAlAe3s7zz33HIcPH2bv3r1897vf5c033zz7OdXPXy956VJUVVUlEhISRH5+vvjHP/4hysvLRWlpqfjd734nJk6cKIToL/ADiOXLl4uqqirx17/+VSQnJ58wflCr1YpZs2aJbdu2iZKSEjFnzhwxZ86c8LFuvfVWMX36dLFnzx6xd+9ecdNNNw0qtiGEEF//+tdFamqqWLFihTh69KhYt26deP3114UQJ45l2bJliwDE6tWrRVtbm3C5XOH9lJeXC7VaLdRq9WnHaww3RmbFihVCp9OJrq6uE9Z/+OGHw8WDtm/fLvLy8kR9fb0QYvjxQ52dnQI4YayjHLMoSaObjI8yPkqSdGrf+ta3RHp6ulizZo04cOCAuPnmm4XFYhkUuzZv3ixMJpNYsmSJ2L59u6itrRVvvPGGSE1NFddee60IBAJCiP56GFOmTBm0/61btwqVSiWeeOIJUV5eLn7/+9+fUEjN7/eLgoICsWjRIrFlyxZRVVUl3nzzTZGYmCh+9KMfnbL9DBkj3NraKrRarfjoo49OWPfDDz8Uer1eOBwOIYQQeXl5g+p+pKeni6effnrQNtOmTQuP137iiSfETTfdNGw7Xn75ZWEwGITBYAgXyBzqUh3TPXDeQ7/uvfdeIYQQPp9P/OIXvxAZGRlCq9WKxMREceutt4r9+/cLIYRoa2sTc+bMEWazWZhMJnHVVVed1VjuATLplr6wxsZG8eCDD4r09HSh0+lEcnKyuPnmmwddBP32t78ViYmJwmg0isWLF4u//vWvwxbteeutt0RmZqbQ6/Xi6quvHlR5t7q6WixatEgYjUaRmpoqnnnmGbFw4cJBgbmvr098//vfF4mJiUKn04ns7GzxwgsvCCGGDzbf+ta3RHR0tABOKHCxYMECUVBQcNrzH26/N9544wmFOwYMFFjat29feNvq6urwOcqLSkkaP2R8lPFRkqST6+npEXfffbcwmUwiPj5e/OY3vzkhdgkhxP79+8VXvvIVYbfbw0nTQw89NGjmgrvvvlv89Kc/PeEYzz//vEhJSRFGo1HcdNNN4sknnzyhUGRDQ4O49957RVpamjAajSI/P1889thjwufznbL9Q5PuJ598UthstmG383q9wmazid/97nfhbV988cXw66dLuufPny/+93//d9h2uN1uERkZKex2u/B4PMOuc6km3aOFIsRZVHuRpAvkpZde4nvf+164y+VIE0KQk5PDAw88wNKlS0+57vr161m0aBGdnZ3hwh0Xw9e//nW6urp45513LtoxJUm6+GR8PHsyPkrS+BUKhfjGN77BJ598woYNG8jJySEQCBAfH89HH30ULnJ1MSiKwooVK1iyZMkFPU57ezuJiYnU19cTHx9/TvsYqXgs9ZNjuiVpiLa2Np555hmam5vPqhBFSkpKuBLvhbRp0yYsFgt///vfL/ixJEmSjifjoyRJI02lUvH888/zox/9iE2bNgHQ0dHB97///UGzPFwsd955JykpKRf0GB0dHfz2t78954S7oKCA66677jy3Sjobsnq5JA0RFxdHTEwMf/rTn4iKijrt+rNnz6aiogIAi8VyoZtHUVFRuBjExTieJEnSABkfJUkaDVQqFd/97nfD38fFxfGzn/3sordjIL6p1eoLepzc3NxBVdrP1ocffojf7wf6q7VLF5/sXi5JkiRJkiRJkiRJF4jsXi5JkiRJkiRJkiRJF4hMuiVJkiRJkiRJkiTpApFJtyRJkiRJkiRJkiRdIDLpliRJkiRJkiRJkqQLRCbdkiRJkiRJkiRJknSByKRbkiRJkiRJkiRJki4QmXRLkiRJkiRJkiRJ0gUik25JkiRJkiRJkiRJukD+f6ackAOcc6fQAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Set up Parameter objects to fit\n", "ocp_params = {k: iwp.Parameter(k, initial_value=v) for k, v in ocp_param_init.items()}\n", "# Add the functional form of the OCP\n", "ocp_params = {\"Positive electrode OCP [V]\": U_half_cell, **ocp_params}\n", "\n", "# Use the experimental capacity to map between capacity in the experiment and the\n", "# stoichiometry. In practice we would calculate the capacity from other means,\n", "# (e.g. electrode loading) or use the MSMR model to fit the electrode capacity.\n", "known_parameter_values = {\"Positive electrode capacity [A.h]\": Q_max_data}\n", "\n", "# Set up objective and fit\n", "objective = iwp.objectives.OCPHalfCell(\n", " \"positive\",\n", " ocp_data,\n", ")\n", "ocp = iwp.DataFit(objective, parameters=ocp_params)\n", "\n", "# Fit\n", "params_fit_ocp = ocp.run(known_parameter_values)\n", "\n", "# Plot\n", "_ = ocp.plot_fit_results()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "and look at the fitted parameters" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2024-03-28T15:29:13.786916Z", "start_time": "2024-03-28T15:29:13.780978Z" } }, "outputs": [ { "data": { "text/plain": [ "{'Positive electrode OCP [V]': ,\n", " 'u00_pos': 0.2676350184798697,\n", " 'u10_pos': 0.14829823808278422,\n", " 'u11_pos': 21.937276050808386,\n", " 'u20_pos': -0.1158950902703077,\n", " 'u21_pos': 17.920416621522982,\n", " 'u22_pos': 0.0648104761265959,\n", " 'u30_pos': -0.03814563186723685,\n", " 'u31_pos': 17.431754268265163,\n", " 'u32_pos': 0.24670734497361757,\n", " 'u40_pos': -0.019480183906667208,\n", " 'u41_pos': 32.156070095251714,\n", " 'u42_pos': 0.5938344821926308}" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "params_fit_ocp" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2024-03-28T15:29:13.789603Z", "start_time": "2024-03-28T15:29:13.788496Z" } }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "bppenv", "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" }, "vscode": { "interpreter": { "hash": "938a56cf8cc78a970178b6cd91dbc2084cfe03b4ddf365fda3eb6d44738b4092" } } }, "nbformat": 4, "nbformat_minor": 2 }