{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Data Fit example\n", "\n", "This notebook shows how the `DataFit` class works via examples. For design principles, see the [user_guide](../user_guide/design_principles.md)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Simple non-battery example" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "The Ionworks battery parameter pipeline is built around PyBaMM models, so we start by creating a model which we will then use to generate and fit synthetic data" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2024-09-06T18:20:42.398186Z", "start_time": "2024-09-06T18:20:41.178903Z" } }, "outputs": [], "source": [ "import pybamm\n", "import numpy as np\n", "import pandas as pd\n", "import ionworkspipeline as iwp\n", "\n", "\n", "class LotkaVolterra(pybamm.BaseModel):\n", " def __init__(self):\n", " super().__init__()\n", " x = pybamm.Variable(\"x\")\n", " y = pybamm.Variable(\"y\")\n", "\n", " a = pybamm.Parameter(\"a\")\n", " b = pybamm.Parameter(\"b\")\n", " c = pybamm.Parameter(\"c\")\n", " d = pybamm.Parameter(\"d\")\n", "\n", " self.rhs = {x: a * x - b * x * y, y: -c * y + d * x * y}\n", " self.initial_conditions = {x: 2, y: 1}\n", " self.variables = {\"x\": x, \"y\": y}\n", "\n", "\n", "model = LotkaVolterra()\n", "true_inputs = {\"a\": 1.5, \"b\": 0.5, \"c\": 3.0, \"d\": 0.3}\n", "true_params = pybamm.ParameterValues(true_inputs)\n", "true_params.process_model(model)\n", "solver = pybamm.ScipySolver()\n", "t_data = np.linspace(0, 10, 1000)\n", "solution = solver.solve(model, t_data)\n", "\n", "# extract data and add noise\n", "x_data = solution[\"x\"].data + 0.1 * np.random.rand(t_data.size)\n", "y_data = solution[\"y\"].data + 0.1 * np.random.rand(t_data.size)\n", "\n", "data = pd.DataFrame({\"t\": t_data, \"x\": x_data, \"y\": y_data})" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "To fit this model we set up a custom `Objective` class which defines how the error function is calculated from the solution" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2024-09-06T18:20:42.403182Z", "start_time": "2024-09-06T18:20:42.400952Z" } }, "outputs": [], "source": [ "class Objective(iwp.objectives.Objective):\n", " def process_data(self):\n", " data = self.data[\"data\"]\n", " self._processed_data = {\"x\": data[\"x\"], \"y\": data[\"y\"]}\n", " \n", " def build(self, all_parameter_values):\n", " data = self.data[\"data\"]\n", " t_data = data[\"t\"].values\n", "\n", " model = LotkaVolterra()\n", " all_parameter_values.process_model(model)\n", " solver = pybamm.CasadiSolver()\n", "\n", " def run(inputs, full_output=False):\n", " sol = solver.solve(model, t_data, inputs=inputs)\n", " return {\"x\": sol[\"x\"].data, \"y\": sol[\"y\"].data}\n", "\n", " self.run_ = run\n", "\n", "\n", "objective = Objective(data)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We can then specify which parameters need to be fitted, which parameters are known (in this case none), define bounds, and pass this to the standard `DataFit` class to fit the unknown parameters" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2024-09-06T18:20:46.861654Z", "start_time": "2024-09-06T18:20:42.423591Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Iteration Total nfev Cost Cost reduction Step norm Optimality \n", " 0 1 2.1198e+03 5.58e+02 \n", " 1 3 1.8884e+03 2.31e+02 3.57e-01 4.45e+02 \n", " 2 4 1.6379e+03 2.51e+02 7.07e-01 2.88e+03 \n", " 3 5 1.2485e+03 3.89e+02 3.94e-01 1.69e+03 \n", " 4 6 2.2926e+02 1.02e+03 7.11e-01 6.80e+03 \n", " 5 8 9.8556e+01 1.31e+02 2.28e-01 1.83e+03 \n", " 6 9 6.8804e+01 2.98e+01 4.61e-01 6.83e+03 \n", " 7 10 1.6368e+00 6.72e+01 2.63e-01 9.61e+02 \n", " 8 11 2.1157e-01 1.43e+00 1.75e-02 2.21e+01 \n", " 9 12 2.1098e-01 5.84e-04 5.44e-04 9.05e-02 \n", " 10 13 2.1098e-01 8.36e-09 9.19e-07 4.13e-04 \n", " 11 14 2.1098e-01 1.18e-13 7.82e-09 1.39e-05 \n", "Both `ftol` and `xtol` termination conditions are satisfied.\n", "Function evaluations 14, initial cost 2.1198e+03, final cost 2.1098e-01, first-order optimality 1.39e-05.\n" ] } ], "source": [ "fit_parameters = {\n", " \"a\": iwp.Parameter(\"a\", bounds=(0, np.inf)),\n", " \"b\": iwp.Parameter(\"b\", bounds=(0, np.inf)),\n", " \"c\": iwp.Parameter(\"c\", bounds=(0, np.inf)),\n", " \"d\": iwp.Parameter(\"d\", bounds=(0, np.inf)),\n", "}\n", "known_parameters = {}\n", "\n", "optimizer = iwp.optimizers.ScipyLeastSquares(verbose=2)\n", "data_fit = iwp.DataFit(objective, parameters=fit_parameters, optimizer=optimizer)\n", "new_parameter_values = data_fit.run(known_parameters)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can plot the trace of the cost and the parameter values to see how the fit progressed" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2024-09-06T18:20:47.307520Z", "start_time": "2024-09-06T18:20:46.867983Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/kratz/Projects/battery-parameter-pipeline/src/ionworkspipeline/data_fits/data_fit.py:580: UserWarning: The figure layout has changed to tight\n", " fig.tight_layout()\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABKYAAAKyCAYAAADvidZRAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8hTgPZAAAACXBIWXMAAA9hAAAPYQGoP6dpAAEAAElEQVR4nOzde1yUZfo/8M+cATnLSRTFgMwjlgeyoxZFVG7m1trhl6abnXA7UNvKd0uj2myzNfvWlN8s03a31Wo3211bKy0zV8xTWOYJCE8ICCIMw2EOzzy/P4ZnYIDh+AwzD3zer5evYrjnnmtGnGGuua7rVomiKIKIiIiIiIiIiKiPqX0dABERERERERERDUxMTBERERERERERkU8wMUVERERERERERD7BxBQREREREREREfkEE1NEREREREREROQTTEwREREREREREZFPMDFFREREREREREQ+wcQUERERERERERH5BBNTRERERERERETkE0xMERERkWJMnz4d06dP93UYRERERCQTJqaIiIj8XFFRER544AFccMEFCAgIQGhoKC6//HK89tpraGhokP326uvr8eyzz2Lbtm2y7019480338TatWv79DZffPFFbNy4sU9vk4iIiJRP6+sAiIiIyLNNmzbh9ttvh8FgwNy5czFu3DhYrVbs2LEDv/3tb/HTTz/h7bfflvU26+vrkZubCwCsTlKoN998E1FRUbj33nv77DZffPFF3HbbbZg1a1af3SYREREpHxNTREREfqq4uBh33HEHRowYga+++gpDhgxxfS8rKwuFhYXYtGmTDyMc2Orq6jBo0CBfh9Fn7HY7HA4H9Hp9r/caaI8dERERecZWPiIiIj/18ssvw2w2491333VLSkmSk5Px6KOPur622+14/vnnkZSUBIPBgMTERPzP//wPLBaL2/X27t2LjIwMREVFITAwECNHjsSCBQsAAMePH0d0dDQAIDc3FyqVCiqVCs8++6zHOKuqqvDkk09i/PjxCA4ORmhoKDIzM3HgwAG3ddu2bYNKpcKHH36IP/zhDxg2bBgCAgJw7bXXorCwsM2+b7/9NpKSkhAYGIipU6fi22+/7fJjp1KpsGjRIvz1r3/FqFGjEBAQgEmTJmH79u1u606cOIGHH34Yo0aNQmBgIAYPHozbb78dx48fd1u3du1aqFQqfPPNN3j44YcRExODYcOG9WiPHTt24JFHHkF0dDTCw8PxwAMPwGq1orq6GnPnzkVERAQiIiLw1FNPQRRFtz0cDgdWrlyJsWPHIiAgALGxsXjggQdw/vx515rExET89NNP+Oabb1x/fy0r36qrq/HYY48hISEBBoMBycnJ+OMf/wiHw+Fac/z4cahUKrzyyitYuXKl62fq0KFDHh/vuro6rFu3znWbUrXWs88+C5VKhUOHDuGuu+5CREQErrjiCgDADz/8gHvvvdfVphoXF4cFCxbg3LlzbW6jpKQEv/71rxEfHw+DwYCRI0fioYcegtVq7dZ9IyIiIv/CiikiIiI/9a9//QsXXHABLrvssi6tv++++7Bu3TrcdttteOKJJ/Ddd99h2bJlOHz4MD755BMAwNmzZ3H99dcjOjoaixcvRnh4OI4fP45//OMfAIDo6Gi89dZbeOihh3Drrbdi9uzZAIAJEyZ4vN2ff/4ZGzduxO23346RI0eivLwc//d//4err74ahw4dQnx8vNv6l156CWq1Gk8++SRqamrw8ssv4+6778Z3333nWvPuu+/igQcewGWXXYbHHnsMP//8M37xi18gMjISCQkJXXo8vvnmG2zYsAGPPPIIDAYD3nzzTdxwww3YvXs3xo0bBwDYs2cPdu7ciTvuuAPDhg3D8ePH8dZbb2H69Ok4dOgQgoKC3PZ8+OGHER0djSVLlqCurq5He/zmN79BXFwccnNzsWvXLrz99tsIDw/Hzp07MXz4cLz44ov47LPPsHz5cowbNw5z5851XfeBBx7A2rVrMX/+fDzyyCMoLi7GG2+8ge+//x7//e9/odPpsHLlSvzmN79BcHAwfv/73wMAYmNjATjbNK+++mqUlJTggQcewPDhw7Fz507k5OSgtLQUK1eudIv1vffeQ2NjI+6//34YDAZERka2+1j/+c9/xn333YepU6fi/vvvBwAkJSW5rbn99tuRkpKCF1980ZVw+/LLL/Hzzz9j/vz5iIuLc7Wm/vTTT9i1axdUKhUA4MyZM5g6dSqqq6tx//3346KLLkJJSQk+/vhj1NfXQ6/Xd/u+ERERkZ8QiYiIyO/U1NSIAMRbbrmlS+vz8/NFAOJ9993ndvmTTz4pAhC/+uorURRF8ZNPPhEBiHv27PG4V0VFhQhAXLp0aZduu7GxURQEwe2y4uJi0WAwiM8995zrsq+//loEII4ePVq0WCyuy1977TURgPjjjz+KoiiKVqtVjImJESdOnOi27u233xYBiFdffXWnMQEQAYh79+51XXbixAkxICBAvPXWW12X1dfXt7luXl6eCEB8//33XZe99957IgDxiiuuEO12u9v67u6RkZEhOhwO1+XTpk0TVSqV+OCDD7ous9vt4rBhw9zu67fffisCEP/617+63dbmzZvbXD527Nh2H6fnn39eHDRokHjs2DG3yxcvXixqNBrx5MmToig6//4AiKGhoeLZs2fb7NOeQYMGifPmzWtz+dKlS0UA4p133tnme+09dn/7299EAOL27dtdl82dO1dUq9Xt/txKj2VX7xsRERH5F7byERER+SGTyQQACAkJ6dL6zz77DACQnZ3tdvkTTzwBAK5ZVOHh4QCAf//737DZbHKECoPBALXa+SuFIAg4d+4cgoODMWrUKOzfv7/N+vnz57vNKbryyisBOCuvAGer4dmzZ/Hggw+6rbv33nsRFhbW5bimTZuGSZMmub4ePnw4brnlFnz++ecQBAEAEBgY6Pq+zWbDuXPnkJycjPDw8HZjX7hwITQajdtl3d3j17/+tasSCADS0tIgiiJ+/etfuy7TaDSYPHmy6zEBgI8++ghhYWG47rrrUFlZ6fozadIkBAcH4+uvv+70Mfnoo49w5ZVXIiIiwm2P9PR0CILQptXxl7/8pau1s7cefPDBNpe1fOwaGxtRWVmJSy+9FABcj53D4cDGjRsxc+ZMTJ48uc0e0mPZ3ftGRERE/oGtfERERH4oNDQUAFBbW9ul9SdOnIBarUZycrLb5XFxcQgPD8eJEycAAFdffTV++ctfIjc3F6+++iqmT5+OWbNm4a677oLBYOhRrA6HA6+99hrefPNNFBcXu5I+ADB48OA264cPH+72dUREBAC45iRJsaakpLit0+l0uOCCC7ocV+vrA8CFF16I+vp6VFRUIC4uDg0NDVi2bBnee+89lJSUuM10qqmpaXP9kSNHtrmsu3u0vv9Ssq11i2JYWJjb7KiCggLU1NQgJiam3ft79uzZdi9vqaCgAD/88IPHZFPrPdq7vz3V3l5VVVXIzc3F+vXr29y29NhVVFTAZDK52i896e59IyIiIv/AxBQREZEfCg0NRXx8PA4ePNit67WsxPH0/Y8//hi7du3Cv/71L3z++edYsGAB/vSnP2HXrl0IDg7udqwvvvginnnmGSxYsADPP/88IiMjoVar8dhjj7U7dLp1xZFEbDXouy/85je/wXvvvYfHHnsM06ZNQ1hYGFQqFe644452Y29Z4dPTPTzd//Yub/mYOBwOxMTE4K9//Wu71+9KZZPD4cB1112Hp556qt3vX3jhhW5ft3d/e6q9vX71q19h586d+O1vf4uJEyciODgYDocDN9xwQ7cHlnf3vhEREZF/YGKKiIjIT9188814++23kZeXh2nTpnW4dsSIEXA4HCgoKMDo0aNdl5eXl6O6uhojRoxwW3/ppZfi0ksvxR/+8Ad88MEHuPvuu7F+/Xrcd999nSa3Wvv4448xY8YMvPvuu26XV1dXIyoqqlt7SfcFcFbAXHPNNa7LbTYbiouLkZqa2qV9CgoK2lx27NgxBAUFuZI4H3/8MebNm4c//elPrjWNjY2orq7ucrxy7NEVSUlJ2LJlCy6//PJOE0ae/g6TkpJgNpuRnp4ua2wd3aYn58+fx9atW5Gbm4slS5a4Lm/99xYdHY3Q0NBOk7TevG9ERETkPZwxRURE5KeeeuopDBo0CPfddx/Ky8vbfL+oqAivvfYaAODGG28EgDYnj61YsQIAcNNNNwFwJgNaVyZNnDgRAGCxWADAdYpcVxMrGo2mzZ4fffQRSkpKunT91iZPnozo6GisWrUKVqvVdfnatWu7lezJy8tzm/F06tQpfPrpp7j++utd1Untxf7666+7tSN2Ro49uuJXv/oVBEHA888/3+Z7drvd7bEZNGhQu4/Vr371K+Tl5eHzzz9v873q6mrY7fYex+fpNj2R/g5aP3atf4bVajVmzZqFf/3rX9i7d2+bfaTre/O+ERERkfewYoqIiMhPJSUl4YMPPsCcOXMwevRozJ07F+PGjYPVasXOnTvx0Ucf4d577wUApKamYt68eXj77bdRXV2Nq6++Grt378a6deswa9YszJgxAwCwbt06vPnmm7j11luRlJSE2tparF69GqGhoa7kVmBgIMaMGYMNGzbgwgsvRGRkJMaNG+dxxs/NN9+M5557DvPnz8dll12GH3/8EX/961+7NQ+qJZ1OhxdeeAEPPPAArrnmGsyZMwfFxcV47733urXnuHHjkJGRgUceeQQGgwFvvvkmACA3N9ct9j//+c8ICwvDmDFjkJeXhy1btrQ7G8sTOfboiquvvhoPPPAAli1bhvz8fFx//fXQ6XQoKCjARx99hNdeew233XYbAGDSpEl466238MILLyA5ORkxMTG45ppr8Nvf/hb//Oc/cfPNN+Pee+/FpEmTUFdXhx9//BEff/wxjh8/3qMqN+k2t2zZghUrViA+Ph4jR45EWlqax/WhoaG46qqr8PLLL8Nms2Ho0KH44osvUFxc3Gbtiy++iC+++AJXX3017r//fowePRqlpaX46KOPsGPHDoSHh3v1vhEREZEX+eg0QCIiIuqiY8eOiQsXLhQTExNFvV4vhoSEiJdffrn4+uuvi42Nja51NptNzM3NFUeOHCnqdDoxISFBzMnJcVuzf/9+8c477xSHDx8uGgwGMSYmRrz55pvFvXv3ut3mzp07xUmTJol6vV4EIC5dutRjfI2NjeITTzwhDhkyRAwMDBQvv/xyMS8vT7z66qvFq6++2rXu66+/FgGIH330kdv1i4uLRQDie++953b5m2++KY4cOVI0GAzi5MmTxe3bt7fZ0xMAYlZWlviXv/xFTElJEQ0Gg3jxxReLX3/9tdu68+fPi/PnzxejoqLE4OBgMSMjQzxy5Ig4YsQIcd68ea517733nghA3LNnT5vb6u0eS5cuFQGIFRUVbpfPmzdPHDRoUJvbe/vtt8VJkyaJgYGBYkhIiDh+/HjxqaeeEs+cOeNaU1ZWJt50001iSEiICMDtMautrRVzcnLE5ORkUa/Xi1FRUeJll10mvvLKK6LVahVFsfnvZPny5Z091C5HjhwRr7rqKjEwMFAE4Lrvnu6fKIri6dOnxVtvvVUMDw8Xw8LCxNtvv108c+ZMuz9zJ06cEOfOnStGR0eLBoNBvOCCC8SsrCzRYrF0674RERGRf1GJog8mjRIRERF5kUqlQlZWFt544w1fh0JEREREHeCMKSIiIiIiIiIi8gkmpoiIiIiIiIiIyCeYmCIiIiIiIiIiIp/gqXxERETU73CEJhEREZEysGKKiIiIiIiIiIh8gokpIiIiIiIiIiLyCSamiIiIiIiIiIjIJ5iYIiIiIiIiIiIin2BiioiIiIiIiIiIfIKJKSIiIiIiIiIi8gkmpoiIiIiIiIiIyCeYmCIiIiIiIiIiIp9gYoqIiIiIiIiIiHyCiSkiIiIiIiIiIvIJJqaIiIiIiIiIiMgnmJgiIiIiIiIiIiKfYGKKiIiIiIiIiIh8QuvrAOTw6quv4p133oEoikhPT8drr70GlUrVpes6HA6cOXMGISEhXb4OEZGSiaKI2tpaxMfHQ63m5xMd4WsEEQ00fI3oOr5GENFA463XCMUnpioqKvDGG2/gp59+gk6nw1VXXYVdu3Zh2rRpXbr+mTNnkJCQ4OUoiYj8z6lTpzBs2DBfh+HX+BpBRAMVXyM6x9cIIhqo5H6NUHxiCgDsdjsaGxsBADabDTExMV2+bkhICADnAxsaGtrl6wmCgKKiIiQlJUGj0XQvYD+g5PgZu+8oOX4lxw7IG7/JZEJCQoLr+Y8842uE8uJXcuyAsuNn7L7D1wjf4GuE8uJXcuyAsuNXcuyAsuNXwmuEzxNT27dvx/Lly7Fv3z6Ulpbik08+waxZs9zWGI1GLF++HGVlZUhNTcXrr7+OqVOnAgCio6Px5JNPYvjw4dBqtXjwwQeRlJTU5duXym5DQ0O7/YISHByM0NBQxf1gAsqOn7H7jpLjV3LsgHfiZ9tB5/gaobz4lRw7oOz4Gbvv8DXCN/gaobz4lRw7oOz4lRw7oOz4lfAa4fPG8bq6OqSmpsJoNLb7/Q0bNiA7OxtLly7F/v37kZqaioyMDJw9exYAcP78efz73//G8ePHUVJSgp07d2L79u19eReIiIiIiIiIiKgHfF4xlZmZiczMTI/fX7FiBRYuXIj58+cDAFatWoVNmzZhzZo1WLx4MbZs2YLk5GRERkYCAG666Sbs2rULV111Vbv7WSwWWCwW19cmkwmAM4soCEKX4xYEAQ6Ho1vX8SdKjp+x+46S41dy7IC88Sv1MSAiIiIiov7H54mpjlitVuzbtw85OTmuy9RqNdLT05GXlwcASEhIwM6dO9HY2AidTodt27bh/vvv97jnsmXLkJub2+byoqIiBAcHdzk2h8OBqqoqFBYWKvLEEiXHz9h9R8nxKzl2QN74zWazTFERERERERH1jl8npiorKyEIAmJjY90uj42NxZEjRwAAl156KW688UZcfPHFUKvVuPbaa/GLX/zC4545OTnIzs7G6tWrsXr1agiCgMLCQiQlJXW7N7ywsBDJycmK6zEFlB0/Y/cdJcev5NgBeeOXKkWJiIiIiIh8za8TU131hz/8AX/4wx+6tNZgMMBgMOCJJ57AE088AZPJhLCwMGg0mm6/2VOr1T26nr9QcvyM3XeUHL+SYwfki1+p95+IiIiIiPofv+5niYqKgkajQXl5udvl5eXliIuL69XeRqMRY8aMwZQpU3q1DxERERERERER9YxfJ6b0ej0mTZqErVu3ui5zOBzYunUrpk2b5sPIiIiIiIjIX2zfvh0zZ85EfHw8VCoVNm7c2Ol1tm3bhksuuQQGgwHJyclYu3at1+MkIqK2fJ6YMpvNyM/PR35+PgCguLgY+fn5OHnyJAC45kGtW7cOhw8fxkMPPYS6ujrXKX09lZWVhUOHDmHPnj29vQtERERERORDdXV1SE1NhdFo7NL64uJi3HTTTZgxYwby8/Px2GOP4b777sPnn3/u5UiJiKg1n8+Y2rt3L2bMmOH6Ojs7GwAwb948rF27FnPmzEFFRQWWLFmCsrIyTJw4EZs3b24zEL27jEYjjEajXx6bXlNvwy3GHcgYG4ecG0f7OhwiIiLFMlvs+MUbO/BzRZ0s+6lUwILLR+KZm8fIsh8RySMzMxOZmZldXr9q1SqMHDkSf/rTnwAAo0ePxo4dO/Dqq68iIyOj3etYLBZYLBbX19JhIoIgdOs9xdMbD+Jve04DKOrydToSFqjDmnmTMDEhXJb9OiMIAhwOh1++j+qMkmMHlB2/kmMHlB2/nLF76/77PDE1ffp0iKLY4ZpFixZh0aJFst5uVlYWsrKyXMPP/clPZ2pw/Fw9/nOwjIkpIiKiXjhYUiNbUgoARBH49w9nmJgiUri8vDykp6e7XZaRkYHHHnvM43WWLVuG3NzcNpcXFRUhODi4y7ddU1PT5bVd2q/Bhn/vPoZBjRGy7uuJw+FAVVUVCgsLoVb7vAGnW5QcO6Ds+JUcO6Ds+OWM3Ww2yxSVO58npqitBpszC9loU142loiIyJ9Ump3VDZcMD8fbcyf3aq+zJgtu/N9vcc5shcMhQq1WyREiEflAWVlZmw6M2NhYmEwmNDQ0IDAwsM11cnJyXN0dgLNiKiEhAUlJSQgNDe3ybb8wdDj+37EijBw5EmpN794kvrT5KD75/gzCIiKRkpLcq726ShAEFBYWIjk5WXEn/So5dkDZ8Ss5dkDZ8csZu1QpKrcBm5jy51Y+KTHVwMQUERFRr1TUOhNTQ8IDERVs6NVeIQHOX5vsDhGmRhvCg/S9jo+IlMNgMMBgaPs8otFouvVmLyzIgMhBOsSEBfb6TWJIgA4A4BDRp2+W1Wp1t++3v1By7ICy41dy7ICy45crdm/dd2XVoMnIn4efN1hZMUVERCQHqWIqupdJKQAwaDUIbUpOSfsSkTLFxcWhvLzc7bLy8nKEhoa2Wy3lr7RNbTlWoePRKERE/mzAJqaMRiPGjBmDKVOm+DqUNqSElE0QYRMcPo6GiIhIuaSKqeiQ3iemALiqripqrbLsR0S+MW3aNGzdutXtsi+//BLTpk3zUUQ9o9M4W4rtfM9ARAo2YBNTfl0x1aJSilVTRDQQbN++HTNnzkR8fDxUKhU2btzY4fp7770XKpWqzZ+xY8e61jz77LNtvn/RRRd5+Z6Qv5ESU1HB8rTdSYmpc3WsmCLyJ2azGfn5+cjPzwcAFBcXIz8/HydPngTgnA81d+5c1/oHH3wQP//8M5566ikcOXIEb775Jj788EM8/vjjvgi/x7RSYsrBiikiUq4Bm5jyZw3W5k88Gm389IOI+r+6ujqkpqbCaDR2af1rr72G0tJS159Tp04hMjISt99+u9u6sWPHuq3bsWOHN8InP1ZpdlY2yVYxFeJMcFXWMjFF5E/27t2Liy++GBdffDEAIDs7GxdffDGWLFkCACgtLXUlqQBg5MiR2LRpE7788kukpqbiT3/6E9555x1kZGT4JP6eklr52GVBREo2YIef+zNWTBHRQJOZmYnMzMwurw8LC0NYWJjr640bN+L8+fOYP3++2zqtVou4uLgu72uxWGCxNCccpJNHBEHo1mEZgiDA4XD45QEbXaHk+FvHXlHbCACIDNLJcn8imwaen61t9Mrj058eeyVRcuyAvPEr9TGYPn06RNFz1dDatWvbvc7333/vxai8r7mVjxVTRKRcAzYx5c+n8rVMRvFkPiKizr377rtIT0/HiBEj3C4vKChAfHw8AgICMG3aNCxbtgzDhw/3uM+yZcuQm5vb5vKioiIEBwd3OR6Hw4GqqioUFhZCrVZecbKS428ZO1Qq15Dy2oozKKg/2+v9VZZaAEDxmQoUFKh6vV9r/eWxZ+x9S874zWazTFFRX9BpmiqmHKyYIiLlGrCJqaysLGRlZcFkMrl96u4PpFP5Wv8/ERG1debMGfznP//BBx984HZ5Wloa1q5di1GjRqG0tBS5ubm48sorcfDgQYSEhLS7V05ODrKzs11fm0wmJCQkICkpCaGhoV2OSRAEFBYWIjk5WZFHCis5/paxmywC7I6fAQCTx42CXtv7hMOF508C+edhUwciJSWl1/u11l8ee8bet+SMX6oUJWXQNiWmWDFFREo2YBNT/qyBFVNERF22bt06hIeHY9asWW6Xt2wNnDBhAtLS0jBixAh8+OGH+PWvf93uXgaDAQZD21lEGo2m22/21Gp1j67nL1rG/+PpGqz48qhscw/DAnV49hdjERcWIMt+rUmxV9U7q6XCg3QINOhk2Ts6xHmMfGWd1Wt/t0r+2WHsviNX/Eq9/wOVq5WPFVNEpGBMTPkhzpgiIuoaURSxZs0a3HPPPdDrOz51LTw8HBdeeKGzxYu6ZV3ecXx9tELWPScOD8eDVyfJumdr0oDy6GB5Bp8DQHTT8POOTuXbsOck/ndrYc/eKIqAXbBDqzkNNHUKxoYGYM29U1wnAhIRSZqHn7NiioiUi4kpP9TIxBQRUZd88803KCws9FgB1ZLZbEZRURHuueeePoisfzlf5zzZ7q604bj0gsG92us/P5biPwfLUHK+QY7QOlTRNF9KzoSOtFdlrdXjmj/vOoGS6t7ev+bX/3KTBV8eKsedUz3PRyOigUnrGn7OiikiUq4Bm5ji8HMiIv9hNpvdKpmKi4uRn5+PyMhIDB8+HDk5OSgpKcH777/vdr13330XaWlpGDduXJs9n3zyScycORMjRozAmTNnsHTpUmg0Gtx5551evz/9TU2DDQBwZXIUMscP6dVe5ka7MzHV68RN5yqkiqkQ+RJTg5sSUw02AfVWO4L0bX+VKq12ngRovOsSJEYFdWt/h+DAyZMnMXz4cKg1avw57wTW7zmFH07X4M6pvY+fiPqX5lY+VkwRkXIN2MSUXw8/b5mYsvLTDyLq//bu3YsZM2a4vpYGkM+bNw9r165FaWkpTp486Xadmpoa/P3vf8drr73W7p6nT5/GnXfeiXPnziE6OhpXXHEFdu3ahejoaO/dkX6quikxFRbU+zlNQyOcM5rO9EViyix/YmqQXoMAnRqNNgcqa60YPtj9V6lGm4BzTRVmlyUNRsSgjltMWxMEAbo6A1LiQ6HRaHDVhdFYv+cUfiyplusuEFE/0tzKx/cMRKRcAzYx5c/cTuVjxRQRDQDTp0+HKHr+tHft2rVtLgsLC0N9fb3H66xfv16O0AjNFVNhgTIkpsKdA8/7smJKzlY+lUqFqGADTp9vQIXZguGD3Suiymqc1VKBOg3CZUjkjR/q/PDsaFktGm0CAnQcTE1EzVwVU5wxRUQK1vtzk0l2LU894owpIiLyJVEUZU1MDQlzVkzVNtpharT1er+OVJqdlUtyVkwBze1858xtB6BLlWBDwgOgUql6fVvDIgIREaSDTRBxtKy21/sRUf/iqphiKx8RKZjiE1NHjx7FxIkTXX8CAwOxceNGX4fVKzyVj4iI/EWjzQGr3fmBSXhQ99rS2jPIoHVVEkmzmLyluWKq93G3FN20n5T4aulMU8VUfFMCrrdUKhXGDwsHAPxQUiPLnkTUf3D4ORH1B4pPTI0aNQr5+fnIz8/Hjh07MGjQIFx33XW+DqtX3Fr5rExMERGR70jVUhq1CoP08rSRSUmbkmrPrZhyqPTCjCmgxcl87VRMlUoVU2EBst1e6jBnO98Pp6pl25OI+gedxvl2jq18RKRkik9MtfTPf/4T1157LQYNGuTrUHpMFEX34eesmCIiIh9q2cYnR2saAMSHS4kp71VMCQ7R1WoXLeOMKQAY3FQx1W4rn1QxFS5PxRTQPGfqR1ZMEVErWrXzednmYMUUESmXzxNT27dvx8yZMxEfHw+VStVuG57RaERiYiICAgKQlpaG3bt3t7vXhx9+iDlz5ng5Yu+y2N1fVJiYIiIiX6qud7arhcswX0oyrA9O5jtfb4VDBFQqILKbJ+N1prliqp1Wvqb7FB8uX8XUhKZWvmPltaykJiI3WlZMEVE/4PNT+erq6pCamooFCxZg9uzZbb6/YcMGZGdnY9WqVUhLS8PKlSuRkZGBo0ePIiYmxrXOZDJh586dnZ7CZLFYYLE0f8JpMpkAOI9nFoSu/7InCAIcDke3rtMV5kb3X3Ibrd2Lq6u8FX9fYOy+o+T4lRw7IG/8Sn0MyDekiqlQGRNTUtLGm4kpKWk0eJDe9cZNLtLw84r2WvlqpFY++SqmYkMNiA4xoKLWgkOlNZg0IlK2vYlI2aRT+WycMUVECubzxFRmZiYyMzM9fn/FihVYuHAh5s+fDwBYtWoVNm3ahDVr1mDx4sWudZ9++imuv/56BAR0/AnlsmXLkJub2+byoqIiBAcHdzluh8OBqqoqFBYWQq2W7xfeijq729eV1SYUFBTItr/EW/H3BcbuO0qOX8mxA/LGbzabZYqKBgI5T+STSG1u3kxMNQ8+l7eNz7mn51Y+aaC7nBVTKpUKE4aGYeuRs/jhNBNTRNTMdSofK6aISMF8npjqiNVqxb59+5CTk+O6TK1WIz09HXl5eW5rP/zwQ9x///2d7pmTk4Ps7GzX1yaTCQkJCUhKSkJoaGiXYxMEAYWFhUhOToZGI88wWADQVJgBnHB9rdYHICUlRbb9Jd6Kvy8wdt9RcvxKjh2QN36pUpSoK6TElHSSnhxcM6bOe7NiyjuDz4HmmVWtW/lqG22otTg/YJKzYgoAxg9zJqZ+PM05U0TUTKqYsncyY+rT/BIcKpXn9V90iBgVbIEX3qIQ0QDl14mpyspKCIKA2NhYt8tjY2Nx5MgR19c1NTXYvXs3/v73v3e6p8FggMFggNFohNFodLW0aDSabr/ZU6vVPbpeRyytOmwabQ6vvYn2Rvx9hbH7jpLjV3LsgHzxK/X+k294o2JqaFNiqszUCLvgkL3VDgAqmpJG3qiYklr5ahpssNod0Gud8Zc2DT4PC9RhkEHeX7FSm+ZM/cAB6ETUQldmTJWbGvHo+nxZbzd6kBazrpB1SyIawPw6MdVVYWFhKC8v93UYsmhsNey89ddERER9yVUxJWNiKjrYAJ1GBZsgorzW4kpUyamy1nsVU+GBOmjUKggOEVV1VsSFOdv2Sqql+VLytfFJxjWdzFdUYYbZYkewzIkvIlIm16l8HcyYMjU9jwfo1Ljn0hG9uj2r3YF1eSdQUWeHTfDeB+hENLD49W81UVFR0Gg0bZJO5eXliIuL69XeWVlZyMrKgslkQlhYWK/2klOjjafyERGR/6iul3/4uVqtwpCwQJysqseZ6gbvJKakVj4vVEyp1SoMHqTH2VoLKs0WV2Kqeb6U/PcnOsSA+LAAnKlpxMGSGlx6wWDZb4OIlEcnVUw5PFdMWZuSVmGBOvz+pjG9uj2HQ8QHu0/CJoioqLUgYbB8rw1ENHD59QRgvV6PSZMmYevWra7LHA4Htm7dimnTpvVqb6PRiDFjxmDKlCm9DVNWUiJKagtgxRQREfmSN1r5AO+fzOdq5QvRe2X/wa45U80D0KUT+eQcfN7S+GHOD9I4Z4qIJNKMKcEhQhTbT05Jg9G1Mhz+olarXJWoZ2vbHgBBRNQTPk9Mmc1m5OfnIz8/HwBQXFyM/Px8nDx5EgCQnZ2N1atXY926dTh8+DAeeugh1NXVuU7p66msrCwcOnQIe/bs6e1dkJWUmIoMcv4i3WBlYoqIiHyn2jX8XN4Ej1RVdNpLA9CbK6a8kySSTuZrOQD9TFPFlNyDzyUTOGeKiFppOaPP08l89qaKKemD796KZWKKiGTm81a+vXv3YsaMGa6vpRPz5s2bh7Vr12LOnDmoqKjAkiVLUFZWhokTJ2Lz5s1tBqJ3V+vh5/6isSkRFR6kQ5mpsU1rHxERUV8yealiSmrf81bFlDRjylsVU9HtVExJ98VrFVNDpYqpaq/sT0TKI1VMAc6T+fTt1B1IrXwt1/ZGdEgAgBqcNTExRUTy8Hliavr06R7LTiWLFi3CokWLZL1df50x5aqYGuT8RdoqOLx2YhEREVFnvNXK583ElN0hoqppNpY3ZkwBwOCmiqlz7bTyeatiSkpMHT9Xj5p6G8KCONuFaKBr2Z7nqWJKzlY+oLliqry2UZb9iIgGbLbD32dMRQxq/oS30c6qKSIi6nuiKDafyidzEiTelZiS/41NTaPztVSjViFC5hZESZSrYsrZyieKIkprmoafeykxFTFIj+GRQQCAg2fYzkdErSqmPJzMJ12uk6mVLya0qZWPFVNEJJMBm5jy2xlTUitfi0+mOQCdiIh8wWwRIDSd9CT/8HPvVUxVNThfNwcP0kOtlqd1pbWoVq18VXVWWOwOqFRAbJh3qrSA5gHoP3AAOhEBUKlU0DQ9z3k6mc8mJaZkej6UElPlnDFFRDIZsIkpfyUloYL0GgTonH89HIBORES+IM2X0mvVCNBpZN1bmsNUa7G7qrLkUt1gBwDXyVHeMLjV8HOpWioq2ACDVt7HqqUJ0pypkmqv3QYRKYu2KeFk81AxJbXy6WQaDRLT9NxawcQUEcnE5zOmfMVfh59LrXyBOg0CdRo02hysmCIiIp9wncgnc7UUAATptYgI0uF8vQ1nqhtkrcg631QxFeWl+VIt95Yqpkqkwedh3hl8LpEqpv5beA5PfXxAlj2nJEbi9skJsuxFRH1Pp1HDYnfA7nHGlLytfLEhzue5sybOmCIieQzYxJTfDj9vqo4K0DsTU+dhcyWriIiI+pK3Bp9LhkYEuhJTo4eEyrav1MrnzYopae+qOiscDhGl1d4dfC4ZNzQMeq0aNQ02fLj3tCx7frj3NEYMHoSpIyNl2Y+I+pZWI7XyeaqY8k4rX1W9DRa74NUqUSIaGAZsYspftayYCtA7n+TZykdERL5g8nJiKj4sEAdLTLLPmarug4op6fRcwSGiusHWPPg83LuJqdAAHdbNn4rvT52XZb/dxVXYdrQCT2/8Ef/+zZXQy1RRQUR9Rzptr7NT+eRq5QsP1EGnBmwOZzvfsIggWfYlooGLiSk/09iqlQ/gqXxEROQb1V46kU8iJXFKZD6Z73wfVEzpNGqEB+lQXW9DpdmCM67ElHdb+QBgWtJgTEsaLMted0214to/fYNj5Wa8u6MYD01PkmVfIuo70sl8fdXKp1KpEBmkRbnZjnITE1NE1HsD9mMxo9GIMWPGYMqUKb4OxY2rYkqvcQ2aZcUUEfV327dvx8yZMxEfHw+VSoWNGzd2uH7btm1QqVRt/pSVlbmtMxqNSExMREBAANLS0rB7924v3ov+R2rlC/VWK5+XTuY73+gcfh7VNKDcWwYPkgagW1z3wdutfHILD9Lj9zeNBgC8tvUYTlXV+zgiIuouqZXP1ketfAAQGeh8n1JRyzlTRNR7AzYxlZWVhUOHDmHPnj2+DsVNo835whHQsmKKM6aIqJ+rq6tDamoqjEZjt6539OhRlJaWuv7ExMS4vrdhwwZkZ2dj6dKl2L9/P1JTU5GRkYGzZ8/KHX6/ZXINP/dOgqe5YkrmxFQfVEwBLQegW5tnTPVBxZTcbr14KC69IBKNNgeW/vMniGL7VRdE5J90Uiufhy4LuVv5AGBwkLPxptzEk/mIqPfYyudnpOqoQF2Liikmpoion8vMzERmZma3rxcTE4Pw8PB2v7dixQosXLgQ8+fPBwCsWrUKmzZtwpo1a7B48eLu3VBdHaBpZ7irRgMEBLivAwBBgKq+3v16ajUQGNh2bXtar62vBzwlC1QqICioZ2sbGoD2PmFvir+6wRl7WKDO81rJoEHN/9/YCHR06m3T2qERgTDYrag6W+X58QgKcsYNABYLYLd73rfpvp1vEKC32xCrtnveNzDQ+TgDgNUK2Gye9/WwNl7nQKC1EVXlVTCdq0GgQ8TQkBZJvM72DQho/vmw2Zzr2/vZAQCDAdBq3dd60nKt3e583DzR66HS6fDCrPG4+dWvkffDSWzZMxjXjY1tdy10TdVzguD8e26pZewBAc71LdZa7AJ2HKvEvpNVaHmqvaDRwqFrWutwQGf1XIHR0VpVi2IQFQCHRgtBWiuK0Fk8J0AFtQaVdXWIKBCgAjpc61BrIOibk566Rs9VZt1ZK6rUsBsCerRW01iPmurzCP+xFqoWD8SUxEhcMyaue88RpDjNw887a+WTsWLKlZhixRQR9R4TU36msUUrXyCHnxMRdWjixImwWCwYN24cnn32WVx++eUAAKvVin379iEnJ8e1Vq1WIz09HXl5eR73s1gssLR4E28ymZz/Ex/f7noxMxOOf/2r+TZiYqCqr4cGwKjWa6+6Co6vvmpem5gIVWVl+/tOngzHrl3Na8eMgerEifbXjhkDxw8/NK+dMgWqQ4faXztiBBxFRc1rr7oKqr1726zTAEiKiEDNa18AAEICNBBvuAGq7dvb3zcoCA7psQKgnj0bqv/8p921ACA0JZfiQvRY8e8/4aaj/wWe9bC2psaVyFLdfz/U77/ved/SUjSEhsNsdeC5r95B0p9u9by2sBBITHTum5MD9YoVntceOACMHetc+8ILUD//PADg1aY/eBW4t2mt7fadEKZOda599VWoO0iCClu2ANOnO9euWgX1I4+0+7MDAMKnnwI33eRc++c/Q/3rX3ved/164LbbnF/8/e/Q3HGHx7WOd9+FOG8eRg4OxAuBJbjtpYea7lQ7a//3fyE+/LDzi23boElPd/t+y9gdL70E8cknYRMcOPjpVkz+VSYMAK5t+tPSysvvxMor7gYApFScwJdrsjzG+39TZ2PZjAUAgGE15dixyvPj8P7FN2HJ9Q8BACLra7D/9bs9rv143LV4+6bHAdQg0NqIw6/e5nHtplGXI2tW83PL8T/e7HHtVxdMxoLbn3V9fWjFLxFkaz9RuCthHO646yXX1/v+9y4MbjC1u/ZAXApumdf8F7XjrQUYZmq/GrS7zxHC9997vD/kn5qHn3fcyietk8PgplY+VkwRkRyYmPIzUnVUgFaDQJ3a7TIiInIaMmQIVq1ahcmTJ8NiseCdd97B9OnT8d133+GSSy5BZWUlBEFAbKx71UdsbCyOHDnicd9ly5YhNze3y3HU1dXhdEGB6+sLRRGePo9uaGjAyRZrkwXB44twY2MjTrRYm2SzwdOUJ6vFguIWa0daLPDUwGa32VDUYu2IxkZ4mogkOhwoPVfjjKfmHBoaGuBpvK0oiihose+wujoEe1gLwLXWIYrobORJYWEhxKZqjyEmE8I6WPvzzz+jROu85c72PX78OGxN1UzR1dXoaJT4iRMnYG2q/omqqkJUB2tLTp9GY0QEACCyshIxHa0tKUF902MRfvYs4jpYe+bMGdQ1rQ0rL8eQDtaWlZaitmltSGkphnawtry8HDVNay+J6riF78XPDmN9hTNZOeX4D3ivg7WvfnkM79V9AZsgYtTpo/hnB2vHxgRgzvhwAEDs6aoOY7goyuBaG1HRcQtocqQevxrnXDvI1PF9SwzX4eYkAwIDAqC3dNwCmhCqc+3bmSEh7mu1HVQkRQ/Suq01dDCoOjJQ47Y2SO95bbefI1okr0kZOht+Ll0u56mbUivfWc6YIiIZDNjElNFohNFohNBRq4EPNA8/V7ta+SxMTBERuRk1ahRGjWquK7nssstQVFSEV199FX/+8597vG9OTg6ys7NdX5tMJiQkJEA4dQpCaGib9YEaDVJatPKJZWUQAAiCgKKiIiQlJUHT1I5lUKuR0rI97/hxeHp217dee+QIBA+tN1qVCikt23S+/97jWnXrtXl5ENppz5Pit/23HkAjLhyZAMNXX7W7VpLSspXvs886fH1tufaR//cMss+ZsW7+JEwaEdlmbXLLVr6//tVVbdWeC4KCUHPqPIBT+L9bHsadX3/gcW1iy/a8N96A8KqHMiEAI1quXb4cwosvAgA+2ncauf86DJXK2Rl1yfBwvH/Llc0teM89B+GZZzzuO7RlK9/vfw/ht79t92cHAOJbtuc9/jiELM9VRXEGA+KktSNHQliwwOPaGL0eMVJ73siR+HZaBh78y/doryPIptHCbnX+DHwTNxqjH//Y4752jQa2prVnLhiN3A92IXNcLC5OiIC6VdbwGp0O10htf46pEB66xeO+V+h0uELf3MonLKjxuDZNq0WaoSkFI4oQ/p/ntRNUKjx86hSSk5OhUash/Mrz2rEaDZa1+Hcv/MLz2gtbrcUvyj3+u09Uq7Gs5b/7X5zwuDa+1Vrh5sM4XFjY5ucG6P5zRFJH7bLkl7RNs6PsHp6jra6KKTlb+aSKKSamiKj3BmxiKisrC1lZWTCZTAgL6+jz174lte21HH7Oiikios5NnToVO3bsAABERUVBo9GgvLzcbU15eTni4jzXpRgMBhgMbWsJNKGh0LSTmGpDWiMIUAUHO6/X3myqlmu7IiTEO2uDPdQ1NcVvanS2EUUMMkDjaW17WiapOhEdHYbCWjtK7FpM7ewxCer8SPKqOueb6vCIkK79nQHOGVKBXTxNr8XayJhINOibkw5RcZHQ6PXtru2UNK+sKz87rWebdbZvOz/TntZeefEF2JY8FKbGDmZjeeAQBBw/cQKJI0ZA3RS7WqVCQkSg641zl+LVdfEUyO6sBTr+NycIUKvV0Gg0zse9O/8+/WFtSEjnPzct1nZEY2q/fZD8l5RwsnVSMSXn8PPIQKliiq18RNR7A/ZUPn/kcIiwNJ2mweHnRETdk5+fjyFDnA1Oer0ekyZNwtatW13fdzgc2Lp1K6ZNm+arEBWnWjqVL6gbb/67STqZ70y1PJ+6V5idb5Kig717Ih8ARLU69W9IWBeTUH4uOsSApOjgbv+5IDoYCWF6XNDispFRg7qelCLqJaPRiMTERAQEBCAtLQ27d+/ucP3KlSsxatQoBAYGIiEhAY8//jgaWw/1VwCpRc9TxZQ0Y0reVj7n+5TqehtPECeiXhuwFVP+qNHe/KTuPvy8g1OQiIj6AbPZjMLCQtfXxcXFyM/PR2RkJIYPH46cnByUlJTg/abB1ytXrsTIkSMxduxYNDY24p133sFXX32FL774wrVHdnY25s2bh8mTJ2Pq1KlYuXIl6urqXKf0UccEh4jaRmf1UVig9xJTQyOcyZyS6o7nBXVVpdl5Wl1UHySmWie/4sO7WMVERLLbsGEDsrOzsWrVKqSlpWHlypXIyMjA0aNHERPTdtrbBx98gMWLF2PNmjW47LLLcOzYMdx7771QqVRY0cFhCP6os4opb7TyBevVMGjVsNgdqKi1ICGy84pWIiJP+kViqri4GAsWLEB5eTk0Gg127dqFQd1oI/AXLU/fcw4/dyam+CkEEfV3e/fuxYwZM1xfS3Oe5s2bh7Vr16K0tBQnT550fd9qteKJJ55ASUkJgoKCMGHCBGzZssVtjzlz5qCiogJLlixBWVkZJk6ciM2bN7cZiE7tq7c1fyji1cRUUzLnjFyJqaa2kqgQfScre29wsPtt9JeKKSIlWrFiBRYuXOj68GHVqlXYtGkT1qxZg8XtnI65c+dOXH755bjrrrsAAImJibjzzjvx3XffebwNTye3CoLQrbm1giDA4XDINutW05Rwstraj8PW1JGhUUOW2xQEAaIoIibEgFPnG3Cmuh7xYd7/MEAOcj/2fU3J8Ss5dkDZ8csZu7fuf79ITN1777144YUXcOWVV6Kqqqrd+SBKILXsGbRqqNUqJqaIaMCYPn06RA/DeAFg7dq1bl8/9dRTeOqppzrdd9GiRVi0aFFvwxuQai3ONzKD9BpZ55K01tzKJ1Niqq4pMdUHFVNBei2C9BrUN32wNCSMFVNEvmC1WrFv3z7k5OS4LlOr1UhPT0deXl6717nsssvwl7/8Bbt378bUqVPx888/47PPPsM999zj8XY8ndxaVFSE4G7M4XM4HKiqqkJhYSHU6t4/vzbW1wEAzpSVo6CgbSvi+RpnAq36XCUKCro/P641Kf4QrfN14sCx4wizVvZ6374g92Pf15Qcv5JjB5Qdv5yxm81mmaJyp/jE1E8//QSdTocrr7wSABAZ2fZEH6VodJ3I13SCk875Q8MZU0RE1Ndqm5It3qyWApoTUyXnGyCKIlSq3rWaVNQ6W/n6YsYU4EyAnayqBwAMDWfFFJEvVFZWQhCENhWxsbGxOHLkSLvXueuuu1BZWYkrrrgCoijCbrfjwQcfxP/8z/94vB1PJ7cmJSUhtBvD6gVBQGFhofMUyM6G1XdBxP56AHWIHByFlJTENt837DIBqEN8XCxSUhJ6fXtS/CNi6nGoohyaQRHt3q4/kvux72tKjl/JsQPKjl/O2E1eOiDD54mp7du3Y/ny5di3bx9KS0vxySefYNasWW5rjEYjli9fjrKyMqSmpuL111/H1KlTAQAFBQUIDg7GzJkzUVJSgttuu63DFxR/Js2SkiqleCofERH5irmpYirU24mppva3OquA5/99GDpN7xJTRRXOT/Kigr3fygc42/lOVtUjQKf26pB4IpLXtm3b8OKLL+LNN99EWloaCgsL8eijj+L555/HM8880+51PJ7cKp3m2A1up0D2kq5pqLkgot39mjr5YNBpZXtDrVarEdtUJVphtinqjbqcj70vKDl+JccOKDt+uWL31n33eWKqrq4OqampWLBgAWbPnt3m+50NMrTb7fj222+Rn5+PmJgY3HDDDZgyZQquu+66dm/PX3vDAaDO4vyUN0CnhiAIMGidv5w3WLsXW1ewR9Y3lBw7oOz4lRw7oIzecOpfai3OnxNvJ1sC9RoMCQtAaU0j1vy3WLZ9+6p6SWoZjA8L7HW1FxH1TFRUFDQaDcrLy90uLy8vR1xcXLvXeeaZZ3DPPffgvvvuAwCMHz8edXV1uP/++/H73/9eUa06OrV0Kl/7LfHSqXzaXib+W4tpOpn0rEl5JxkSkX/xeWIqMzMTmZmZHr/f2SDDoUOHYvLkyUhIcJal3njjjcjPz/eYmPLX3nAAKCpxtgKoHXYUFBSgstw5b8NU14iCggJZbkPCHlnfUHLsgLLjV3LsgDJ6w6l/MTdV8Xq7lQ8AXrvjYnx5qEyWvRyiiAhVveu0P2+TElNDeCIfkc/o9XpMmjQJW7dudXVeOBwObN261eOcwfr6+javp1IlQEczD/2RlHCSElCt2ZtO69PLPC9QSkyV1zIxRUS94/PEVEe6MshwypQpOHv2LM6fP4+wsDBs374dDzzwgMc9pd7w1atXY/Xq1a5+S1/3hgNAsa0cQCnCgoOQkpIC6yATgDNwqNRISUmR5TYk7JH1DSXHDig7fiXHDiijN5z6FykxFR7o/Za4qSMjMXWkPDMiBUGQ/cOcjkhvzDhfisi3srOzMW/ePEyePBlTp07FypUrUVdX5/pwe+7cuRg6dCiWLVsGAJg5cyZWrFiBiy++2NXK98wzz2DmzJmK+z1BOqBCSkC1Zm1KWMl9kEVMqDMhX26ydLKSiKhjfp2Y6sogQ61WixdffBFXXXUVRFHE9ddfj5tvvtnjnlJv+BNPPIEnnngCJpMJYWFhPu8NBwBr04tJkN7Z/x1kcH5K3WBzeOUFkj2yvqHk2AFlx6/k2AH/7w2n/kVq5Qvj3KQO3T55GM5UN2DBFSN9HQrRgDZnzhxUVFRgyZIlKCsrw8SJE7F582bX+4iTJ0+6VUg9/fTTUKlUePrpp1FSUoLo6GjMnDkTf/jDH3x1F3pMq26qmHK0XzHlrVa+WLbyEZFM/Dox1VWdtQO2x2g0wmg0+tWslYamE5ACmk7jk07n4/BzIiLqa7V92MqnZMMigrD89lRfh0FEABYtWuSxdW/btm1uX2u1WixduhRLly7tg8i8S9tJxZS3WvliQ52JKVOjHQ1WwfXehYiou/x60EpPBhl2VVZWFg4dOoQ9e/b0ah85SQmogFan8lntDggehhkSERF5g3QqHxNTRET+TTrN1O5hxpRUMSWd3ieXYIPW9X7lLOdMEVEv+HViquUgQ4k0yHDatGm92ttoNGLMmDGYMmVKb8OUjZSYCmyVmAKARlZNERFRH3K18jExRUTk17RNLYo2Dx9kSzOmpJY/uahUKsQ0VU1xzhQR9YbPW/nMZjMKCwtdXxcXFyM/Px+RkZEYPnx4p4MMeyorKwtZWVmuGVP+oLGplU8qgzW0+FSj0SZgkMHnf11ERDRA9OWpfERE1HOuU/nsHZ/KJ/fwcwCIDQnAiXP1KOecKSLqBZ9nOvbu3YsZM2a4vs7OzgYAzJs3D2vXru10kGFP+eWMqVYVU2q1CgatGha7g3OmiIioT0kVU+Ecfk5E5NdcrXweKqZsXjqVD4CrYupsLSumiKjnfJ6Ymj59OkSx4/lJHQ0y7Cl/rJhqPWMKcFZPWewOtvIREVGfYsUUEZEyuFr5PMyYsroSU/K28gFAbGgAAJ7MR0S949czprzJL2dMNb0JaHmihVQ9JX2PiIjI26x2Bxrtzg+NmJgiIvJvzcPPOz6VzyutfK4ZU0xMEVHPDdjElD+eytfYqpWv5f+zlY+IiPqKqdEGAFCpgJAAJqaIiPyZtinhZHd0ciqfN1r5QpwVUxx+TkS9MWATU/6o9YwpoLmtj4kpIiLqKzUNzsRUiEELjcynOBERkbykhJOtnYopURRds6e80crnOpWvlhVTRNRzAzYx5Z+tfE0zpvTuM6YAcMYUERH1GSkxxTY+IiL/1zz8vG3FVMtklU7rjVY+acYUK6aIqOcGbGLKL1v57O1VTDn/ipiYIiKivlJTz8QUEZFSNA8/b1sx1XIguk7tvcSU2WJHncUu+/5ENDAM2MSUP5IqptqdMWVlYoqIiPpGTaPzzQUTU0RE/k/rGn7etmKq5UB0b7TyBRu0GNTU4XG2llVTRNQzAzYx5Y+tfK7h5/rmvxbOmCIior7mauULYmKKiMjfNbfyta2YsjYlq1QqeG1mYEyoNACdc6aIqGcGbGLKH1v5pOSTQctT+YiIyHdcrXw8kY+IyO91pZVPp1ZDpfJSYiqkaQA6E1NE1EMDNjHlj1ytfO0OP2//+FciIiK51TRKM6a0Po6EiIg605VWPm+08Uk4AJ2Ieou/cfoRKfnkPvycp/IREVHfqpYqpoL0Po6EiIg6o9M4aw06auXTarxXjxAb6qyY+uJQGeplmItr0Knxy0uGIbqpEouI+j8mpvyEXXC4XjjaS0xx+DkR9Wfbt2/H8uXLsW/fPpSWluKTTz7BrFmzPK7/xz/+gbfeegv5+fmwWCwYO3Ysnn32WWRkZLjWPPvss8jNzXW73qhRo3DkyBFv3Y1+wyTNmArgrwlERP5O2zQ7ytZexZSjqZXPi4mpYRFBAIA9x89jz/Hzsux54lw9ls0eL8teROT/+Bunn2i0N7+QuLXyccYUEQ0AdXV1SE1NxYIFCzB79uxO12/fvh3XXXcdXnzxRYSHh+O9997DzJkz8d133+Hiiy92rRs7diy2bNni+lqr5cteVzS38nHGFBGRv3NVTLU3Y8ruvEzvxVa+Wy8ZirO1ja5q294oNzViy+GzOHCquveBEZFiDNjf0I1GI4xGIwTBPxI+LSuiDNrmTzQCdc7/Z2KKiPqzzMxMZGZmdnn9ypUr3b5+8cUX8emnn+Jf//qXW2JKq9UiLi5OrjAHDNfwc57KR0Tk91wzphxtK6b6opUvNECH32ZcJMtep6rqseXwWRSeNcNqd0Cv5UhkooFgwCamsrKykJWVBZPJhLCwMF+H45ohFajTuJ2YIVVPWZiYIiLyyOFwoLa2FpGRkW6XFxQUID4+HgEBAZg2bRqWLVuG4cOHe9zHYrHAYmke3moymQAAgiB064MMQRDgcDj85sOP7qppauUL1msUdx+U/tgrOX7G7jtyxq/Ux2Ag6+hUPmkgujeHn8tpWEQgQgxa1FrsKKowY/SQUF+HRER9YMAmpvyNVBHVso0PaDFjiokpIiKPXnnlFZjNZvzqV79yXZaWloa1a9di1KhRKC0tRW5uLq688kocPHgQISEh7e6zbNmyNnOpAKCoqAjBwcFdjsfhcKCqqgqFhYVQq5X1aa8oiq52jPPlp1HQUOHjiLpHyY89oOz4GbvvyBm/2WyWKSrqK7oOTuWzuU7lU8bPtUqlwughodh9vAqHS01MTBENEP0iMZWYmIjQ0FCo1WpERETg66+/9nVI3Sa18rUcfA5w+DkRUWc++OAD5Obm4tNPP0VMTIzr8patgRMmTEBaWhpGjBiBDz/8EL/+9a/b3SsnJwfZ2dmur00mExISEpCUlITQ0K7/ciwIAgoLC5GcnAyNRtP5FfxIg1WAzfEzACB1dArCgpR1KpKSH3tA2fEzdt+RM36pUpSUQ2rTa69iyiZ4f/i53MbEOxNTh86YMPsSX0dDRH2hXySmAGDnzp3d+jTb30gVUQE69xeN5uHnbT8BISIa6NavX4/77rsPH330EdLT0ztcGx4ejgsvvBCFhYUe1xgMBhgMbRMxGo2m22/21Gp1j67na2ars1pKrQJCA/WKix9Q7mMvUXL8jN135Ipfqfd/INNJp/K1M2PKprBWPgAYPcRZ1Xy4rG+SpHuOV2H/CXlOEwSASSMiMDkxsvOFROTSbxJTStfooZVP+rqRrXxERG7+9re/YcGCBVi/fj1uuummTtebzWYUFRXhnnvu6YPolEuaLxWiV7vNPCQiIv8kVUyJIiA4RGjUzc/dUhWVN4efy23MEOf830NnTBBF0auvRWaLHfe8+x0aZSwCCNJrkL/keg5uJ+oGnyemtm/fjuXLl2Pfvn0oLS3FJ598glmzZrmtMRqNWL58OcrKypCamorXX38dU6dOdX1fpVLh6quvhlqtxmOPPYa77767j+9F77Ucft5SIFv5iGgAMJvNbpVMxcXFyM/PR2RkJIYPH46cnByUlJTg/fffB+Bs35s3bx5ee+01pKWloaysDAAQGBjoOtDiySefxMyZMzFixAicOXMGS5cuhUajwZ133tn3d1BBquutAIBgA6smiIiUQKtpmYhyQKPWuH0NAHoFJaZSYoOhUatwvt6GcpMFcWEBXrutPcVVaLQ5EBGkwzUXxfZ6v435Jai3Cqg0WxAfHihDhEQDg88TU3V1dUhNTcWCBQswe/bsNt/fsGEDsrOzsWrVKqSlpWHlypXIyMjA0aNHXbNEduzYgaFDh6K0tBTp6ekYP348JkyY0Nd3pVeaW/laz5hyvog02pmYIqL+a+/evZgxY4bra2nO07x587B27VqUlpbi5MmTru+//fbbsNvtrhNWJdJ6ADh9+jTuvPNOnDt3DtHR0bjiiiuwa9cuREdH982d6kMl1Q149p8/4Ux1Q6/3MlvsAJwVU0RE5P90LQbe2x3uc6aU2MoXoNMgKXoQjpWbcai0xquJqZ1FlQCAjLFxeOmXvX//+N/CSpSZGpmYIuomnyemMjMz3QbUtrZixQosXLgQ8+fPBwCsWrUKmzZtwpo1a7B48WIAwNChQwEAQ4YMwY033oj9+/d7TEz561HgdY3ONwIGrdptT31TKW6DtXvxdUbJxyIzdt9RcvxKjh3o/0eBT58+HaLYdmirREo2SbZt29bpnuvXr+9lVMpQ02DDvWt2o+CsvCdpDQ/Xy7ofERF5R8uKqdYn8ymxlQ8ARg8JxbFyMw6X1spSyeRJ3s/nAADTkgbLsl9UiN6VmCKirvN5YqojVqsV+/btQ05OjusytVqN9PR05OXlAXBWXDkcDoSEhMBsNuOrr75yOy68NX89CvzUmWoAgL2xHgUFBa7LqxudbyAtdgeOHjsGtUw91ko+Fpmx+46S41dy7ACPAqf2WewCHvjzXhScNSM21IAXZo2X5VNxtQoIt1bKECEREXmbtp2ZUhK7Q3mtfAAwZkgoPs0/g0Ol3huAXl1vxU9nnPtPu0CmxFSw8wCVylqrLPsRDRR+nZiqrKyEIAiIjXXPksfGxuLIkSMAgPLyctx6660AnFUACxcuxJQpUzzuKR0Fvnr1aqxevdp1vK6vjwIPLikCcA4xkeFISUlxXV5vtQM4DgBISLwAQXp5/sqUfCwyY/cdJcev5NgBHgVObYmiiMV//xG7fq5CsEGL9+6dijHxXX8d64ggCCgoqJJlLyIi8i6VSgWdRgWbILoSURKrXXmtfICzYgoADp/x3u8s3xVXQRSBpOhBiAmVp11QSkxVsGKKqFv8OjHVFRdccAEOHDjQ5fXSUeABAQFQq9Wu1hFfHwVusTvjCDJo3fYbZGj+dMMqACEyvqFW8rHIjN13lBy/kmMHeBQ4uVvx5TF88n0JNGoV3rz7EtmSUkREpDxatRo2QYBdaD1jSrmtfABQfK4O9Va7bB/Ot5RX5GzjuywpSrY9XRVTTEwRdYtfP0NFRUVBo9GgvLzc7fLy8nLExcX1au+srCwcOnQIe/bs6dU+cvE0/FytVsGglQagy3eMKRERKdf63Sfx+lfOUwyX3ToeV13Y/wa6ExFR10lzpmytZkzZXcPP/fptXxvRIQZEhxggisCRslqv3IaUmJJrvhQARAU75zNWmtnKR9Qdfv0MpdfrMWnSJGzdutV1mcPhwNatWzFt2rRe7W00GjFmzJgO2/76kpSYCtS1rWSQklUNVv8bWExERH3L1GjDkn/+BAB45NoU/GpKgo8jIiIiX5MST55O5dMrrJUPaNHO54U5U5VmC46WOxNel8o0XwpwJtQAoLKWFVNE3eHzxJTZbEZ+fj7y8/MBAMXFxcjPz3cdCy7Ng1q3bh0OHz6Mhx56CHV1da5T+nrK3yqmGpuSToHtHM8tJasabUxMERENdPknq2G1O5AQGYjH01M6vwIREfV70gD01hVTVoW28gHOAegAcMgLc6a+K3bOUbwoLgSRg+Q7hZatfEQ94/MZU3v37sWMGTNcX2dnZwMA5s2bh7Vr12LOnDmoqKjAkiVLUFZWhokTJ2Lz5s1tBqJ3l9FohNFo9Jtj0zuqmArUa9zWEBHRwLX/5HkAwKThEVDJdFIrEREpm6tiqvWpfApt5QOA0UNCAHinYiqvyJmYknO+FMDEFFFP+TwxNX36dNcAck8WLVqERYsWyXq7WVlZyMrKgslkQlhYmKx794SnGVMtL2MrHxER7T9ZDQC4ZESEbwMhIiK/Ic2Yan0qn01Q5ql8ADC26VCPI2W1cDhEqNXy3YddxfLPlwKaZ0ydr7fBJjgUmRAk8gX+S/ETDa5WvnYqpnRNw89ZMUVENKA5HCLymyqmLk5gYoqIiJyaW/lazZhqmjmlxARJ4uBBMGjVqLcKOFFVL9u+lXV2FFfWQ60Cpo6MlG1fAIgI0kPT9HdxjgPQibpMec9QMvG34efSiXsdDj9nYoqIaED7udIMU6MdATo1LmpqcSAiIvLUymezK7eVT6tR46I452udnHOmDpQ1AADGDQ1DWKBOtn0B54nq0swqtvMRdZ3ynqFk4rfDz9ubMcXh50REBGD/iWoAwIRh4Yp8k0FERN4htfLZ+lErH+Cdk/kOlDoTU3K38UmkOVMVTEwRddmA/a3W3yqmpGooQ3sVU3rOmCIiIuD7U01tfMPDfRsIEZEfMhqNSExMREBAANLS0rB79+4O11dXVyMrKwtDhgyBwWDAhRdeiM8++6yPopWXVu2hYkrBrXyAlxJTTRVT0y7wVmKqqWKqlokpoq7y+fBzX/HX4ecdVUw12BxtvkdERAOHVDF1yXDOlyIiamnDhg3Izs7GqlWrkJaWhpUrVyIjIwNHjx5FTExMm/VWqxXXXXcdYmJi8PHHH2Po0KE4ceIEwsPD+z54GUgVUVKFlETJrXwAMKZpAPohmRJTp6rqUW62Q6tWYUqivPOlJNGuk/k8z5g6fb6+R90wguDAyWorVGfN0DT9nQ4yaDEkLLBnwRL5iQGbmPI3jR0OP2crHxHRQGdqtOHY2VoArJgiImptxYoVWLhwIebPnw8AWLVqFTZt2oQ1a9Zg8eLFbdavWbMGVVVV2LlzJ3Q655yhxMTEDm/DYrHAYmmugjGZnMkSQRAgCF3/PV0QBDgcjm5dpzPSwG2Lze62r7UpMaVRibLdnjfi9yQlehAAoLSmEZW1DYgI0vdqv51FlQCACUNDEaBVeeU+RA5y/jxV1Da0u/9fvzuJJf881MtbOeX21et3TMSN4+N6uad39eXPjTcoOX45Y/fW/Wdiyk90VDEVwFP5iIgGvB9O1UAUgWERgYgJCfB1OEREfsNqtWLfvn3IyclxXaZWq5Geno68vLx2r/PPf/4T06ZNQ1ZWFj799FNER0fjrrvuwu9+9ztoNG1/HweAZcuWITc3t83lRUVFCA4O7nK8DocDVVVVKCwshFotTyWTtdHZnlZypgwFQXWuy01mMwDgXMVZFBQ0yHJb3oi/I0NCtCittePql7eht4VfjXZna+OF4SoUFBTIEF17N+L8EKm49Fy7t/HlD2UAAINWBX13Z3+JgCiKUKlUgAqwCiIsdhEf7ypESkBtr0P3pr7+uZGbkuOXM3Zz03OK3AZsYspoNMJoNPpFxtMmOGBv6v/uuJXP97ESEZFv7D/pnC/FNj4iIneVlZUQBAGxsbFul8fGxuLIkSPtXufnn3/GV199hbvvvhufffYZCgsL8fDDD8Nms2Hp0qXtXicnJwfZ2dmur00mExISEpCUlITQ0NAuxysIAgoLC5GcnOwxCdZdYXkmAA0YHB2DlJRhrst131QBaMCwoUOQkjJEltvyRvwdSR9rw593nUSdTGNN1CrgjitGIWWYd15PLzKXAHvPwaIyICUlpc33q76oAAD87x0XI3102zbTjrR+7Hf9fA53v7sHR87ZkJyc7ExY+am+/rmRm5LjlzN2qVJUbgM2MeVPM6ZaJpwC9G0zmBx+TkREzYmpcN8GQkTUDzgcDsTExODtt9+GRqPBpEmTUFJSguXLl3tMTBkMBhgMhjaXazSabr/ZU6vVPbqeJ9IMKUGE2562pmHoBp1W1jfTcsffkeduGYcFV1wAwdH7xJQgOHC+7BTGD4vwWuwxoc55T+fM1nZv41RVPQAgMSq4RzG0fOwnJQ6GTqNCea0FJTUWjBg8qHfBe1lf/tx4g5Ljlyt2b933AZuY8ifSfCm1CtC3U5/KiikiooHN4RDx/clqAMDFrJgiInITFRUFjUaD8vJyt8vLy8sRF9f+3J0hQ4ZAp9O5vckaPXo0ysrKYLVaodf3bpZRX5MSU/ZWw8+lroz23mMohUqlwsgoeRIugiCgoMa7b4GjXMPP257KV1Nvg6nRDgAYHhnU69sK0GkwfmgY9p+sxu7iKr9PTBF5otxnqH6k5Xyp9sovOfyciGhgKz5Xh5oGGwxatevobCIictLr9Zg0aRK2bt3quszhcGDr1q2YNm1au9e5/PLLUVhYCEeLKpxjx45hyJAhiktKAc2n8kmJKIk0/Fzb3VlG1GNRIc6fn6p6a5tE4cmmaqnoEEO7h171xNSRgwEAe45XybIfkS8wMeUHXIkpD09O0uWNMvVVExGRsuw/4WzjmzAsDHotX7qJiFrLzs7G6tWrsW7dOhw+fBgPPfQQ6urqXKf0zZ071204+kMPPYSqqio8+uijOHbsGDZt2oQXX3wRWVlZvroLvaJtqoiSWvckUqJKp+CKKaWJDNJDpQJE0ZmcaulElXMwvRzVUpKpI52V1LuLmZgi5RqwrXz+NPxcmh0V0M7gcwAwaNnKR0Q0kO1nGx8RUYfmzJmDiooKLFmyBGVlZZg4cSI2b97sGoh+8uRJt9OoEhIS8Pnnn+Pxxx/HhAkTMHToUDz66KP43e9+56u70CuuiqlWFTq2pq+ZmOo7Wo0akUF6nKuzorLW6naSrlQxJWdiatKISKhUwPFz9ThrakRMKE/uJeUZsIkpfxx+3t6JfEBzxRSHnxMRDUzfc/A5EVGnFi1ahEWLFrX7vW3btrW5bNq0adi1a5eXo+ob2qakm61VK5/NLiWm2MrXl6KCDc7EVKs5U6e8kJgKC9ThorhQHC41YffxKtw8IV62vYn6ClPnfsDS1KLnsZWPM6aIiAYss8WOY+W1AFgxRURE7dN6qphiK59PSHOmWiemvFExBQBpIyMBAHvYzkcKxWcoPyBVTHlq5eOpfETU323fvh0zZ85EfHw8VCoVNm7c2Ol1tm3bhksuuQQGgwHJyclYu3ZtmzVGoxGJiYkICAhAWloadu/eLX/wXnbgVDUcIjA0PBCxLM8nIqJ2uE7la10xxVY+n/B0Mp8rMTVY3sTUlERnYuo7JqZIofrNM1R9fT1GjBiBJ5980tehdFtnM6YC9c6/JlZMEVF/VVdXh9TUVBiNxi6tLy4uxk033YQZM2YgPz8fjz32GO677z58/vnnrjUbNmxAdnY2li5div379yM1NRUZGRk4e/ast+6GV0iDzy9mGx8REXmgVTsrpmytK6bYyucTzYmp5uHnNsGBM9WNAOSvmJrSNAD9aHktauptsu5N1Bf6zYypP/zhD7j00kt9HUaPNM+Yaj9PyOHnRNTfZWZmIjMzs8vrV61ahZEjR+JPf/oTAGD06NHYsWMHXn31VWRkZAAAVqxYgYULF7pOZFq1ahU2bdqENWvWYPHixe3ua7FYYLE0f7ppMpkAAIIgdOuwjLvf+Q77T1ZDpSru8nU8kd5kTEwI67MDOwRBgMPh8IsDQrpLybEDyo6fsfuOnPEr9TEY6KRT+eytTuVjK59vuBJTtc2/U5ypboDgEGHQqhETYpD19mJCAjAyahCKK+uw90QVrh0dK+v+RN7Wo8TUc889hyeffBJBQe6Z3oaGBixfvhxLliyRJbiuKigowJEjRzBz5kwcPHiwT29bDo1dHH7eaHPA4RChVvMTDyIa2PLy8pCenu52WUZGBh577DEAgNVqxb59+9yOBler1UhPT0deXp7HfZctW4bc3Nw2lxcVFSE4OLjL8ZnM9bAKIgCx07VdodeoMNJQh4KCAln264zD4UBVVRUKCwvdTrFSAiXHDig7fsbuO3LGbzabZYqK+pKu6f2B3dH+qXxaVkz1qeimxFNFi1a+lvOlVCr5/z6mJkaiuLIOu48zMUXK06PEVG5uLh588ME2ian6+nrk5uZ2KzG1fft2LF++HPv27UNpaSk++eQTzJo1y22N0WjE8uXLUVZWhtTUVLz++uuYOnWq6/tPPvkkli9fjp07d/bk7vic1MrX2fBzALDYHR7XERENFGVlZa4jwCWxsbEwmUxoaGjA+fPnIQhCu2uOHDnicd+cnBxkZ2e7vjaZTEhISEBSUhJCQ0O7HN/qe4fiWNHPSExMhEbd++fssCAdgg19V+QsCAIKCwuRnJwMjUZZrzlKjh1QdvyM3XfkjF+qFCVlkSqmbC0qpgSHCLHpSz0rpvpUVLA0/Ly5lc9bg88lU0ZGYsPeU9jNOVOkQD36LVcUxXazvAcOHEBkZGS39pLmiixYsACzZ89u831pRsiqVauQlpaGlStXIiMjA0ePHkVMTAw+/fRTXHjhhbjwwgu7lJiSq01DzpLpeqsdAGDQqtvdr2WHn7nRCr1G3+vbVHLJOmP3HSXHr+TYAbZp9BWDwQCDoW15vUaj6dabvbjwINSGGjB8cLAi3+QCzgqz7t5vf6Hk2AFlx8/YfUeu+JV6/wc6XTun8rWcN8VWvr7V3vDzk+eciakELyWmpJP5fjxdgwarwGIGUpRuJaYiIiKgUqmgUqlw4YUXuiWnBEGA2WzGgw8+2K0AOpsr0tmMkF27dmH9+vX46KOPYDabYbPZEBoa6rFqS642DTlLpkvPngMANNTWeGzT0KlVsDlEHCkoQvSg3n9qruSSdcbuO0qOX8mxA2zTaC0uLg7l5eVul5WXlyM0NBSBgYGuN2ftrYmLi+vLUImIiLzONfy8xal81haJKbby9S2pla+qzuoaxSJVTI2Q+UQ+ybCIQMSFBqDM1IjvT57HZclRXrkdIm/oVoZj5cqVEEURCxYsQG5uLsLCwlzf0+v1SExMxLRp02QLriszQpYtW4Zly5YBANauXYuDBw922EooV5uGnCXThoMWADWIj41GSkpSu2sC9Sdga7QjbmgCLojuegLNEyWXrDN231Fy/EqOHWCbRmvTpk3DZ5995nbZl19+6XoN0uv1mDRpErZu3epqD3c4HNi6dSsWLVrU1+ESERF5VfPw8+ZkVMtB6DoFfiinZJGDnB0ugkPE+XorBgcbvN7Kp1KpMHVkJP554Ax2H69iYooUpVuJqXnz5gEARo4cicsvvxxarXfnXVRWVvZoRkhHpDYNo9EIo9HoamnpSemzXCXTlqZjXAcZtB73CtRrYGq0wyLIV2Kt5JJ1xu47So5fybED/btNw2w2o7Cw0PV1cXEx8vPzERkZieHDhyMnJwclJSV4//33AQAPPvgg3njjDTz11FNYsGABvvrqK3z44YfYtGmTa4/s7GzMmzcPkydPxtSpU7Fy5UrU1dW5KnCJiIj6C6mVr+WMKdfgc7WKhyf1MZ1GjYggHc7X21BptiJykN7VyuetxBTgnDP1zwNnOGeKFKdHmaWQkBAcPnwY48ePBwB8+umneO+99zBmzBg8++yz0Ot7PwOpJ+69916f3G5vNTSdyhfg4VQ+oHkAunSCHxFRf7J3717MmDHD9bVU2Tpv3jysXbsWpaWlOHnypOv7I0eOxKZNm/D444/jtddew7Bhw/DOO+8gIyPDtWbOnDmoqKjAkiVLUFZWhokTJ2Lz5s1tPuwgIiJSOq1aGn7eXDFltfNEPl+KCjY0JaYsiAkxoNbinCvsrRlTgPNkPgDYf/I8/rLrhCx7XhgbgqkjuzdHmqi7epSYeuCBB7B48WKMHz8eP//8M+bMmYPZs2fjo48+Qn19PVauXClLcFFRUV6bEZKVlYWsrCyYTCa3lkRfaLA5XzQCO0hMSUmrBiamiKgfmj59OkRR9Pj9tWvXtnud77//vsN9Fy1axNY9IiLq97Su4efNr6X2pnlTHHzuG1HBBhScNaPSbHG18cWGGjosRuitlJhgV6XW0xsPyrbvC7PG4f9dOkK2/Yha61Fi6tixY5g4cSIA4KOPPsLVV1+NDz74AP/9739xxx13yJaY8uaMkNatfL7UaHXG0NHJCdL3Gqy+j5eIiIiIiPyHlHyyO9qeysfElG9ENQ1Ar6i1QN10aJg32/gAQK1WYdnsCdj4fQlEeP7Ar6tMDXbk/XwOSz49iKHhgZhxUYwMURK11aPElCiKcDQ96W3ZsgU333wzACAhIQGVlZXd2quzuSLemhHiTxVTjfamxFRXWvnsDo9riIiIiIho4HGdyteiYkpq5dOxlc8nooKd420qzVbXTGFvtvFJbhgXhxvGyXMCsSiK+O3HP+DjfaeR9cF+fPjANIwb6tv3ztQ/9SgxNXnyZLzwwgtIT0/HN998g7feeguAM6nU3dkdnc0V8daMEH+qmJKqoDoq65S+18iKKSIiIiIi/1FXB7R3sIhGAwQEuK8DAEGAqr7e/XpqNRAY2HZte1qvra+HwdqAQGsjNA11rus6zGYE2Bqh07ivhafWeZUKCGqROGloABztfCguxd+Sp7WSQYOa/7+xEejoPVh31gYFOeMGAIsFsNs7XiuxWDw/DoDz8ZVOMrRaAZut22vjNAICrY0wVVajTg0EWhsxIszQfL3O9g0IaP75sNmc69v72QEAgwGQDiaT1nrScq3d7nwsPFDp9Xjx1vEorWnArmNn8fDb27H+/mmIDw9su1ivB3Q65/8LgvPvrqWWsQcEONd7WtuSTte81uFw/qzJsVardT4WgPNnofXPdOu10mMmih3/+/T07763a3v5HNHuzw3Q9t99Z88R3iL2wIEDB8Rx48aJoaGh4rPPPuu6fNGiReKdd97Zky19pqamRgQg1tTUdOt6drtdPHz4sGi323sdw+UvbRVH/O7f4v4TVR7XPPyXfeKI3/1bXPvf4l7fnijKG39fY+y+o+T4lRy7KMobf0+f9zry008/if/5z3/ETz/91O2P0vnDa4QvKDl+JccuisqOn7H7jr+/RnSVw+EQHQ5Hn99uT7keK+fbuLZ/brzR/QpBQe2vA0Tx6qvd10ZFeV47ebL72hEjPK49Oni4OH35181rx4zxvO+IEe77Tp7sca0tIsL95+3qqz3vGxTkvu+NN3pe2/rt6W23dbzWbG5eO29ex2vPnnX9WxEeeqjjtcXFzfs++WTHaw8ebF67dGmHa7/687+a1778csf7ft3i7+2NNzpe++9/N699772O1374YfPaDz/seO1774miKIo1DVbx6fte6njtG2807/v11x2vffll11LHd991uLbyicXi0TKTeLTMJBZv63jtuYceca0t2v1jh2tr5i8Uf64wiz9XmMXjh4s7XGuac7dYUFYjbvnugFhYdKbDteaZs1z7/lxh7nBtXXqG21qhg+eI+suucFtrHzzY49rGiZe4rbUOG+45jjFj3P/NdfIc4a3XiB5VTE2YMAE//vhjm8uXL1/ul8eQt8efKqakk/Y6mjHF4edE5I9+/vln3Hrrrfjxxx+hUqkgiiIAQNX0iYo/PMcSEZF/e/fdd/Hqq6+ioKAAAJCSkoLHHnsM9913n48j6x/Yyuc/4kIDOl/kh0IDdHg0PQV4x/Oa5/99CH8r3wwAmHL8B6zrYL9XPj+KNbWbIYrAqFNHsLGDtX/edQIrX90OAEipOIEvO1j70b7TWNa0dlhNOXZ0sHZj/hkseWUbACCyvgb7O1j7+U9lePLVbwEAgdYCHO5g7bZjFchq2hcAjnewdtfP57CgxdpDNgGemj0PnKrGHS3W7qu3YbCHtUfKanFLi7U7TI0Y1kEc/kAlSu8iemDfvn04fNj51zJmzBhccsklsgXWV6QZUzU1NQgNDe3y9e55ZxeqTHUIDAzsdUXb/pPVEBwivvntdIwYPKjdNU9v/BF/2XUSj16bgsevu7B3Nwjnm8WCggKkpKQoJpkoYey+o+T4lRw7IG/8PX3ea8/MmTOh0WjwzjvvYOTIkdi9ezfOnTuHJ554Aq+88gquvPLKXu3vaz19rPjz5jtKjh1QdvyM3Xf89TWiK5YsWYIVK1bgN7/5DaZNmwYAyMvLwxtvvIHHH38czz33nNdj6CnXY3XmTPuPlYc2HUEQUFhYiOTk5Oa/r1626Xx/4hzuWr0bwwcH4vPHrgYAfFtQgYV/3oekETHY9MiVrrXw9Pavi618rvhTU5vjV0grn+BwOP+tDB8OTUdvg2Vo5fuxpBq/WrULkYN0qK63wSEC3yy5ATHhg7q2bzutfO3+7ABea+Vza8+z2/FT8VksfH8vzte1jdum0cKuce6rdggw2D3fN7tGA5tG12atQatGgF6DlrlUu1oLu9a5VuVwwGD3HG97a0W0LPlpHglvV6th0za1/YkiAm0d7etc6xAcUKtVHa4V1GpYpX3hbOGUY61DpYJFZ+jR2gBbI0S7A+pWByGkXRCJ1++a1K1WPpPd7pXXiB5VTJ09exZz5szBN998g/DwcABAdXU1ZsyYgfXr1yM6Olq2AP3V96eqYbYIADroh+2GQJ0Gg4MNHX4fAAorzNh+rKLXt6dRiQjmIHUi6qW8vDx89dVXiIqKglqthlqtxhVXXIFly5bhkUcewffff+/rEImIyI+99dZbWL16Ne68807XZb/4xS8wYcIE/OY3v/HrxJTLoEHuyZSO1gGAIEAMCnJ+7SmR2JX9JEFBUAdb0aAPgFkT4LquRW9Goy4A2pZvRoO6MXw7sJ05QkBz/F1Z256AblQNdWetwdA8M6gra7uaxNXrm+cWdWPt4Bg1GvQBKLEB0GkQqNMgOiyo3bWd0umcf7rysyOt7YqWs5O6sHZsSjy+WnITzpo6SGZ5IDgEHD9+HImJidCom2M36NQI0jsfH60fnyCp5A8wuhV7Z88RJpN8gbXQo8TUb37zG5jNZvz0008YPXo0AODQoUOYN28eHnnkEfztb3+TNUhv6G0r359uT8WpkhLEDxkCtbr3/4AujA1BsMHzX0eg3vm9TT+UYtMPpb2+PQAI1qsx62IBd0wdztMViKhHBEFASEgIACAqKgpnzpzBqFGjMGLECBw9etTH0RERkb+z2WyYPHlym8snTZoEe0fVL+RGq5FO5Wv+4NneVMGkZyufTwwOdk86DY8Mco06ULIAnQbDB3f/dEFBEGA5p8PwyCDFJXbI+3qUmNq8eTO2bNniSkoBzlY+o9GI66+/XrbgvCkrKwtZWVmuEtzuSh8dgwJtDVJS4vrkH9YvUofgu5/PobZRnhfoc2YLymst+Mt3J/GX705izJBQ3Dg+rsOTAbsjLiwAmeOGQKNW/pMvEXk2btw4HDhwACNHjkRaWhpefvll6PV6vP3227jgggt8HR4REfm5e+65B2+99RZWrFjhdvnbb7+Nu+++20dRKY+uqdLE7mhuwbEKzv/XyvAhOnWfQatBaIAWpqb3bwmR3U/mEA0UPUpMORwO6NopD9TpdHB01FtMPZYcE4IND0yTbT+bzY6Pvv0BO8tEfPHTWRwqNeFQqbxleZclncTKORMRo9Ahf0TUuaeffhp1TXMwnnvuOdx888248sorMXjwYGzYsMHH0RERkT/Kzs52/b9KpcI777yDL774ApdeeikA4LvvvsPJkycxd+5cX4WoOFp124opW9PYDp2WiSlfiQoxuBJTw5mYIvKoR4mpa665Bo8++ij+9re/IT4+HgBQUlKCxx9/HNdee62sAZJ3qNUqXBIfhDlXp6DWImDj9yU4cLoGvZiF7+IQgS2Hy7Gz6BwyX/sWf/pVKqaPipEhaiLyNxkZGa7/T05OxpEjR1BVVYWIiIh+Ua5ORETyaz1/cNKkSQCAoqIiAM7W8KioKPz00099HptSuSqmhObf5dnK53tRwQb8XOH8AG94ZDfmcBENMD1KTL3xxhv4xS9+gcTERCQkJAAATp06hXHjxuEvf/mLrAF6S29nTPUn4UF63Hv5SFn3LKowY9EH3+NwqQn3vrcHD1x9AZ68fpTrRZOI+q/IyEhfh0BERH7s66+/9nUI/Y40Y8reonuFrXy+F93icCtPp68TUQ8TUwkJCdi/fz+2bNmCI0eOAABGjx6N9PR0WYPzpt7OmKKOJUUH45OHL8Oyzw5jXd4J/N83P2PdzuMyvTCKuHRYIP4vJUWGvYiIiIiIlE36HdsmiBBFESqVCnaBrXy+FtViADpnTBF51q3E1FdffYVFixZh165dCA0NxXXXXYfrrrsOAFBTU4OxY8di1apVuPLKK70SLClLgE6D3FvGYVpSFH739x9Q02ADIM8Msi1FZpyrsyImlCWxRERERDSw6Vq06wkOEVqNyjVvSsdWPp+JalExNSyC71uIPOlWYmrlypVYuHAhQkND23wvLCwMDzzwAFasWMHEFLm5YVwcpo+KRrmpUZb97n1vN4or63HgVDWuG8sneCIiIiIa2LQtxmXYHSK0Gmf1FADo2MrnM1EhzsRUXGiAbKefE/VH3UpMHThwAH/84x89fv/666/HK6+80uugqP8J0Glk66u+ZHgEiivr8f2palw3dogsexIRERERKZV0Kh8AWAUHAnSa5oopLSumfCUpOhgAMDa+bWEHETXrVvq8vLwcOp3O4/e1Wi0qKip6HVRfMBqNGDNmDKZMmeLrUKibJiY4Z4IdOFXj40iIiIiIiHyv5QFD0sl8za18rJjylSmJEfhgYRpevm2Cr0Mh8mvdepYaOnQoDh486PH7P/zwA4YMUUYFS1ZWFg4dOoQ9e/b4OhTqponDwgEAB05XQ3CIHS8mIiIiIurnNGoVVE2FUdLQc1crHxNTPqNSqXBZUhQGt5g1RURtdetZ6sYbb8QzzzyDxsa2s4IaGhqwdOlS3HzzzbIFR9SeC2ODYdCqYLYIKKowe/32ymoasfa/xbDa5RncTkREREQkN2mWlM3RumKKrXxE5N+6NWPq6aefxj/+8Q9ceOGFWLRoEUaNGgUAOHLkCIxGIwRBwO9//3uvBEok0WrUuHCwAT+WNyL/ZDUujA3x6u3l/OMHfH20AlqNGv/v0hFevS0iIiIiop7QalSwCi0rppz/1XL4ORH5uW4lpmJjY7Fz50489NBDyMnJgSg6s/EqlQoZGRkwGo2IjY31SqCeVFdXIz09HXa7HXa7HY8++igWLlzYpzFQ37soOgA/ljfi+1Pn8aspCV67ndpGG3YUVgIAfjzNmVZERERE5J+kAehSC5/N7vyvXsvEFBH5t24lpgBgxIgR+Oyzz3D+/HkUFhZCFEWkpKQgIiLCG/F1KiQkBNu3b0dQUBDq6uowbtw4zJ49G4MHD/ZJPNQ3Lop29ml/f7Laq7ez/Vil68X9SJnJq7dFRERERNRTUgLK7miqmHKwlY+IlKHH6fOIiAhMmTIFU6dO9VlSCgA0Gg2CgoIAABaLBaIouiq5qP+6KDoAAHCsvBZmi91rt/PloTLX/x8tr+WwdSIvMhqNSExMREBAANLS0rB7926Pa6dPnw6VStXmz0033eRac++997b5/g033NAXd4WIiKjPSS17zafyiW6XExH5K58/S23fvh0zZ85EfHw8VCoVNm7c2GZNZ29WqqurkZqaimHDhuG3v/0toqKi+ih68pXBQVoMCQuAQwR+OF3tlduwCQ58deSs6+tGmwPHz9V55baIBroNGzYgOzsbS5cuxf79+5GamoqMjAycPXu23fX/+Mc/UFpa6vpz8OBBaDQa3H777W7rbrjhBrd1f/vb3/ri7hAREfU5rUZq5XNWSkmzpnRs5SMiP9ftVj651dXVITU1FQsWLMDs2bPbfF96s7Jq1SqkpaVh5cqVyMjIwNGjRxETEwMACA8Px4EDB1BeXo7Zs2fjtttu8zjrymKxwGKxuL42mZztWYIgQBCELsctCAIcDke3ruNPlBy/FPvEYWEorWnE9yfOIy1R/qq9XUXnYGq0I3KQHvFhATh4xoRDJTVIjAzs8Z5KftwBZcev5NgBeeP3x8dgxYoVWLhwIebPnw8AWLVqFTZt2oQ1a9Zg8eLFbdZHRka6fb1+/XoEBQW1SUwZDAbExcV1OQ6+RjgpOX4lxw4oO37G7jv9/TWCukankVr53E/l07OVj4j8nM8TU5mZmcjMzPT4/e68WYmNjUVqaiq+/fZb3Hbbbe3ut2zZMuTm5ra5vKioCMHBwV2O2+FwoKqqCoWFhVArsDxWyfFLsQ8N0AAAdhw+jWvj5f8l6u/fOYeeTx5igFol4iCAnYdOICWgtsd7KvlxB5Qdv5JjB+SN32w2yxSVPKxWK/bt24ecnBzXZWq1Gunp6cjLy+vSHu+++y7uuOMODBo0yO3ybdu2ISYmBhEREbjmmmvwwgsvdDiDkK8RTkqOX8mxA8qOn7H7Tn9+jegOo9GI5cuXo6ysDKmpqXj99dcxderUTq+3fv163Hnnnbjlllva7d5Qiubh586ElJWtfESkED5PTHWkK29WysvLERQUhJCQENTU1GD79u146KGHPO6Zk5OD7OxsrF69GqtXr4YgCCgsLERSUhJCQ0O7HJt0veTkZGg0mp7fSR9RcvxS7NfGRuGdfVUoOG9HcnIyVCr5Pg0SRRF7Pz0DALg1LRmlNY3YXHAYFVYdUlJSeryvkh93QNnxKzl2QN74pSogf1FZWQlBENpUusbGxuLIkSOdXn/37t04ePAg3n33XbfLb7jhBsyePRsjR45EUVER/ud//geZmZnIy8vz+BhKrxESk8mEhIQEvkYoiJJjB5QdP2P3nf78GtFVXemyaM/x48fx5JNP4sorr+zDaL1Dq3GfMcVWPiJSCr9OTHXlzcqJEydw//33u4ae/+Y3v8H48eM97mkwGGAwGPDEE0/giSeegMlkQlhYGDQaTbdfyNVqdY+u5y+UHL9arcaEhHBo1SpUmq0oq7ViWESQbPsfLjXh9PkGGLRqXD0qBj+crgEAHCmv7fXjpeTHHVB2/EqOHZAvfqXef0/effddjB8/vs2n4nfccYfr/8ePH48JEyYgKSkJ27Ztw7XXXtvuXtJrRGt8jVAWJccOKDt+xu47A/01orst4YAzoXf33XcjNzcX3377Laqrq/swYvlJp++5TuWTElNqtvIRkX/z68RUV0ydOhX5+fndvp7RaITRaGQfvYIF6DQYPSQUP5bU4PuT1bImpr48VA4AuDIlCkF6LUbHOSslTp9vgKnRhtAAnWy3RTTQRUVFQaPRoLy83O3y8vLyTudD1dXVYf369Xjuuec6vZ0LLrgAUVFRzopLD4kpIiJSnp62hD/33HOIiYnBr3/9a3z77bed3o6/zyHUNCWgLDZnPFa7MzGlUck7O0zJM9mUHDug7PiVHDug7PiVMIfQrxNTvXmzQgPDxcPD8WNJDfJPVWNmarxs+2457PyZu26Ms1ovLEiH+LAAnKlpxNGyWkxJjOzo6kTUDXq9HpMmTcLWrVsxa9YsAM55KVu3bsWiRYs6vO5HH30Ei8WC//f//l+nt3P69GmcO3cOQ4YMkSNsIiLyEz1pCd+xYwfefffdbn3A7e9zCO2WRgDAqZIzKNCZYK5vAACcLS9FgbZGtttR8kw2JccOKDt+JccOKDt+Jcwh9OvEVG/erHQmKysLWVlZrlY+UqaJCeF4P+8Evj95XrY9y2oa8cPpGqhUwDUXNf+Cc9GQUJypacSRUhMTU0Qyy87Oxrx58zB58mRMnToVK1euRF1dnaslY+7cuRg6dCiWLVvmdr13330Xs2bNajPQ3Gw2Izc3F7/85S8RFxeHoqIiPPXUU0hOTkZGRkaf3S8iIvI/tbW1uOeee7B69WpERUV1+Xr+Pocw5NtqoLwR0TGxSEmJh1pbDsCKEQnDkJLk+eCP7lLyTDYlxw4oO34lxw4oO34lzCH0eWLKbDajsLDQ9XVxcTHy8/MRGRmJ4cOHd/pmpafYytc/XDw8AgBw8IwJVrsDehmGO37ZVC11cUI4okOaZ81cFBeCr46cxeGynp/KR0TtmzNnDioqKrBkyRKUlZVh4sSJ2Lx5s+vT75MnT7b5hOfo0aPYsWMHvvjiizb7aTQa/PDDD1i3bh2qq6sRHx+P66+/Hs8//3y7M6SIiEi5uttlUVRUhOPHj2PmzJmuyxxNc5m0Wi2OHj2KpKSkNtfz9zmEuqbh54KogkajgeBwDkEP0GtlfyOt5JlsSo4dUHb8So4dUHb8/j6H0OeJqb1792LGjBmur6VPIebNm4e1a9d2+malp1gx1T8kDg5CeJAO1fU2HC41ITUhvNd7SvOlrhvj/ovMRUOcn4QdKVXmaTVE/m7RokUeq2G3bdvW5rJRo0ZBFMV21wcGBuLzzz+XMzwiIvJT3e2yuOiii/Djjz+6Xfb000+jtrYWr732GhISEvoibNm5hp83DT23SsPPNcpqOyKigcfnianp06d7fGMh6ejNCg1sKpUKExPCse1oBb45VoHIQfpe7WexO5BXVAkAuG6M+9HCo+NCAABHy2rhcIhQ84QTIiIiIr/QnZbwgIAAjBs3zu364eHhANDmciXRNlUWS6fxSf/V8ndWIvJzPk9M+Qpb+fqPixMisO1oBVZ8eQwrvjwmy54jowYhKTq4zWV6rRp1VgGnzzdg+GD5TgEkIiIiop7rSUt4f6NtqpiyCc4P/e1N/5Vj1AURkTcN2MQUW/n6j5tTh+DDvadQVWeVZT+tRoX7r7oAKpWq1eVqXBgbjIMlJhwqNTExRURERORHutsS3tLatWvlD6iPSS17dgdb+YhIWQZsYor6j6ToYPx38TV9clsXxYXiYIkJR8pMuGFc22GaRERERES+ILXsSRVTbOUjIqUYsOlzo9GIMWPGYMqUKb4OhRTkoqY5U0dKeTIfEREREfkPrVQxxVY+IlKYAfsslZWVhUOHDmHPnj2+DoUUZLR0Ml8ZT+YjIiIiIv/hOpXP4YDDIcLucCamWDFFRP5uwCamiHpCqpg6UVWPOovdx9EQERERETlJs6Rsgghb05wpANCxYoqI/NyAfZZiKx/1xOBgA2JCDBBF4Gg52/mIiIiIyD9Ip/LZBYerjQ8A9Bx+TkR+bsA+S7GVj3rqIqmdj3OmiIiIiMhP6NTSqXyia/A5wFY+IvJ/AzYxRdRTo6UB6JwzRURERER+QqqYsgkO18l8KhWgYWKKiPwcE1NE3XTREJ7MR0RERET+RdfiVD6pYkqnUUOlYmKKiPyb1tcBECnNRXHOVr7DZSbsLKrs1nUdDgdKShtQqTkHtbo5L5wUHYzY0ABZ4yQiIiKigUNq2bM5HM2JKVZLEZECMDFF1E1J0cHQaVSobbTjrtXf9XCXM25f6TVqvHHXxbh+bFzvAyQiIiKiAUfrVjHlbOXjiXxEpAQDNjFlNBphNBohCIKvQyGF0WvVePTaFPzzwJnOF7ciioDVaoFeb4BUVV1nEVBS3YCH/7ofr995MTLHD5E5YiIiIiLq73TSqXwtKqa0aiamiMj/DdjEVFZWFrKysmAymRAWFubrcEhhFl2TgkXXpHT7eoIgoKCgACkpKdBoNACcR/o+8dEBfJp/Bov+9j1WCA7cMnGo3CETERERUT8mJaFsLWZM6TVs5SMi/8cUOpGPaTVqrPjVRPzykmEQHCIe35CPv+877euwiIiIiEhBpFP57C1O5WMrHxEpgeIrpk6dOoV77rkHZ8+ehVarxTPPPIPbb7/d12ERdYtGrcLy2yZAp1Fh/Z5TePLjA/jq6FkYZPhlQq1SYfbFQ3FZcpQMkRIRERGRP2pu5RNbtPKxYoqI/J/iE1NarRYrV67ExIkTUVZWhkmTJuHGG2/EoEGDfB0aUbeo1Sq8eOt46DRq/HnXCWz6oVS2vX88XYPPH79Ktv2IiIiIyL80t/K1OJVPw4opIvJ/ik9MDRkyBEOGOIdFx8XFISoqClVVVUxMkSKp1So8d8tYXJ4chRPn6nq93/l6G1Z9U4Qz1Q0yREdERERE/spVMSWIsDe18unZykdECuDzxNT27duxfPly7Nu3D6Wlpfjkk08wa9YstzVGoxHLly9HWVkZUlNT8frrr2Pq1Klt9tq3bx8EQUBCQkIfRU8kP5VKhRvGxcmyl6nRmZiqtdjRYBUQqNfIsi8RERER+ZeWFVNWtvIRkYL4PIVeV1eH1NRUGI3Gdr+/YcMGZGdnY+nSpdi/fz9SU1ORkZGBs2fPuq2rqqrC3Llz8fbbb/dF2ESKEGLQIlDnTEadrW30cTRERERE5C3S8HNbi4optvIRkRL4vGIqMzMTmZmZHr+/YsUKLFy4EPPnzwcArFq1Cps2bcKaNWuwePFiAIDFYsGsWbOwePFiXHbZZR3ensVigcVicX1tMpkAAIIgQBCELsctCAIcDke3ruNPlBw/Y++e6BADTlbVo6y6AcPCA3q1Fx9735EzfqU+BkREROSZlISyO5pnTLGVj4iUwOeJqY5YrVbs27cPOTk5rsvUajXS09ORl5cHABBFEffeey+uueYa3HPPPZ3uuWzZMuTm5ra5vKioCMHBwV2OzeFwoKqqCoWFhVCrlfeEr+T4GXv3hGidv5gcOHYcYbbKXu3Fx9535IzfbDbLFJW8utq2DQBr1651fWAhMRgMaGxsrgwURRFLly7F6tWrUV1djcsvvxxvvfUWUlJSvHo/iIiIfEFq27MLIlv5iEhR/DoxVVlZCUEQEBsb63Z5bGwsjhw5AgD473//iw0bNmDChAnYuHEjAODPf/4zxo8f3+6eOTk5yM7OxurVq7F69WoIgoDCwkIkJSUhNDS0y7FJ10tOToZGo7y5PUqOn7F3z4iYOvx0tgzq4AikpCT2ai8+9r4jZ/xSpag/kdq2V61ahbS0NKxcuRIZGRk4evQoYmJi2r1OaGgojh496vpapXL/5fvll1/G//7v/2LdunUYOXIknnnmGWRkZODQoUMICOhd9SAREZG/0TZVTNkcDrbyEZGi+HViqiuuuOIKOByOLq83GAwwGAwICAiAWq2GKDqftDUaTbff7KnV6h5dz18oOX7G3nUxoc434JVmmyy3ycfed+SK3x/vf1fatltTqVSIi2v/oABRFLFy5Uo8/fTTuOWWWwAA77//PmJjY7Fx40bccccd3rkjREREPqKXWvkE0dXKx8QUESmBXyemoqKioNFoUF5e7nZ5eXm5xzcjXZWVlYWsrCyYTCaEhYX1ai8ifxbblJji8HPyV11p226P2WzGiBEj4HA4cMkll+DFF1/E2LFjAQDFxcUoKytDenq6a31YWBjS0tKQl5fnMTHFOYROSo5fybEDyo6fsfsO5xAS4D78vDkxxVY+IvJ/fp2Y0uv1mDRpErZu3YpZs2YBcM5Z2bp1KxYtWtSrvY1GI4xGI198qd+LCTEAAM6aLJ2sJPKNrrRttzZq1CisWbMGEyZMQE1NDV555RVcdtll+OmnnzBs2DCUlZW59mi9p/S99nAOoZOS41dy7ICy42fsvjMQ5hBS56QklHP4OVv5iEg5fJ6YMpvNKCwsdH1dXFyM/Px8REZGYvjw4cjOzsa8efMwefJkTJ06FStXrkRdXV2bobfdxYopGihiQpsSU6yYon5k2rRpmDZtmuvryy67DKNHj8b//d//4fnnn+/xvtIcQonJZEJCQgLnECqIkmMHlB0/Y/ed/j6HkLpGq27byqdlYoqIFMDniam9e/dixowZrq+lNwTz5s3D2rVrMWfOHFRUVGDJkiUoKyvDxIkTsXnz5jafgncXK6ZooIgJkVr5WDFF/kmOtm2dToeLL77Y9UGHdL3y8nIMGTLEbc+JEyd63EeaQ9ga5xAqi5JjB5QdP2P3nf48h5C6prmVzwF7U2JKz1Y+IlIAn6fQp0+fDlEU2/xZu3ata82iRYtw4sQJWCwWfPfdd0hLS+v17WZlZeHQoUPYs2dPr/ci8mexTRVT1fU2WOxMxJL/adm2LZHatltWRXVEEAT8+OOPriTUyJEjERcX57anyWTCd9991+U9iYiIlERq27M7RFjZykdECuLziilfYcUUDRRhgTrotWpY7Q5U1FowLCLI1yERtdFZ2/bcuXMxdOhQLFu2DADw3HPP4dJLL0VycjKqq6uxfPlynDhxAvfddx8A54l9jz32GF544QWkpKRg5MiReOaZZxAfH++aWUhERNSfaNXO6ijBIcJqZysfESnHgE1MccYUDRQqlQrRwQaUVDeg3MTEFPmnztq2T5486TbQ9/z581i4cCHKysoQERGBSZMmYefOnRgzZoxrzVNPPYW6ujrcf//9qK6uxhVXXIHNmzcjICCgz+8fERGRt7VMQjXYnB++s5WPiJRgwCamiAaSmFBnYqqCA9DJjy1atMjjiavbtm1z+/rVV1/Fq6++2uF+KpUKzz33HJ577jm5QiQiIvJbuhZJqAarHQArpohIGQbsM5XRaMSYMWMwZcoUX4dC5HUxIdLJfByATkRERNQfadVtK6Y4Y4qIlGDAPlNx+DkNJLGhTSfzmZiYIiIiIuqPWlZM1VuFNpcREfmrAZuYIhpImium2MpHRERE1B+pVCpomgagN1hZMUVEysFnKqIBICbEWTFVzoopIiIion5LOpmvnokpIlKQAftMxRlTNJBEh3LGFBEREVF/JyWimmdMsZWPiPzfgE1MccYUDSRSKx9P5SMiIiLqv7QatvIRkfLwmYpoAJCGn5+rs8ImOHwcDRERERF5g3QyX73VDoCJKSJSBj5TEQ0AkUF6aNUqiCJQaWY7HxEREfU/RqMRiYmJCAgIQFpaGnbv3u1x7erVq3HllVciIiICERERSE9P73C9Ukite1Irn5atfESkAExMEQ0AarUKUcFNc6Y4AJ2IiIj6mQ0bNiA7OxtLly7F/v37kZqaioyMDJw9e7bd9du2bcOdd96Jr7/+Gnl5eUhISMD111+PkpKSPo5cXlIiyiaIAAA9K6aISAEG7DMVh5/TQBPDAehERETUT61YsQILFy7E/PnzMWbMGKxatQpBQUFYs2ZNu+v/+te/4uGHH8bEiRNx0UUX4Z133oHD4cDWrVv7OHJ56dTub+/YykdESqD1dQC+kpWVhaysLJhMJoSFhfk6HCKviwkJAFCDsxyATkRERP2I1WrFvn37kJOT47pMrVYjPT0deXl5Xdqjvr4eNpsNkZGRHtdYLBZYLM0f8JlMJgCAIAgQBKHL8QqCAIfD0a3rdFXr1j21SpT9drwZv7cpOXZA2fErOXZA2fHLGbu37v+ATUwRDTSuiim28hEREVE/UllZCUEQEBsb63Z5bGwsjhw50qU9fve73yE+Ph7p6eke1yxbtgy5ubltLi8qKkJwcHCX43U4HKiqqkJhYSHUankrmgSb1e3rsjMlKLCfk/U2vBm/tyk5dkDZ8Ss5dkDZ8csZu9lslikqd0xMEQ0QMSFSKx8rpoiIiIgkL730EtavX49t27YhICDA47qcnBxkZ2e7vjaZTEhISEBSUhJCQ0O7fHuCIKCwsBDJycnQaDS9ir214KBKoKo5OXVB4nCkDJW3O8Sb8XubkmMHlB2/kmMHlB2/nLFLlaJy6xeJqVtvvRXbtm3Dtddei48//tjX4RD5JWcrHyumiIiIqH+JioqCRqNBeXm52+Xl5eWIi4vr8LqvvPIKXnrpJWzZsgUTJkzocK3BYIDBYGhzuUaj6fabPbVa3aPrdab1TCmDTuuVN9Heir8vKDl2QNnxKzl2QNnxyxW7t+67smrQPHj00Ufx/vvv+zoMIr/WXDHFxBQRERH1H3q9HpMmTXIbXC4NMp82bZrH67388st4/vnnsXnzZkyePLkvQvW61jOmOPyciJSgXzxTTZ8+HSEhIb4Og8ivxYY2VUyxlY+IiIj6mezsbKxevRrr1q3D4cOH8dBDD6Gurg7z588HAMydO9dtOPof//hHPPPMM1izZg0SExNRVlaGsrIyr81P6SutE1F6JqaISAF8/ky1fft2zJw5E/Hx8VCpVNi4cWObNUajEYmJiQgICEBaWhp2797d94ESKZw0/LzSbIXgEH0cDREREZF85syZg1deeQVLlizBxIkTkZ+fj82bN7sGop88eRKlpaWu9W+99RasVituu+02DBkyxPXnlVde8dVdkIVW7V4x1bqCiojIH/l8xlRdXR1SU1OxYMECzJ49u833N2zYgOzsbKxatQppaWlYuXIlMjIycPToUcTExHT79pRwzGtfUHL8jL1nwgM0UKkAwSGiwtSA6JC2MxI6w8fed5RwzCsREZEvLVq0CIsWLWr3e9u2bXP7+vjx494PyAe0rSqk2MpHRErg88RUZmYmMjMzPX5/xYoVWLhwoasMd9WqVdi0aRPWrFmDxYsXd/v2lHDMa19QcvyMvefCDRqcbxSw96cCJA/ufmLK1/H3hpJjB5RxzCsRERH5lq7NjClWTBGR//N5YqojVqsV+/btc+sHV6vVSE9PR15eXo/2VMIxr31ByfEz9p4bEnEW50trERARi5SU6G5f39fx94aSYweUccwrERER+ZZWzYopIlIev05MVVZWQhAEV2+4JDY2FkeOHHF9nZ6ejgMHDqCurg7Dhg3DRx995PEEDumYV6PRCKPR6Gpp8adjXvuKkuNn7D0TGxqAQ6W1OFdn7fHt87H3HX8/5pWIiIh8i6fyEZES+XViqqu2bNni6xCIFCEmxHkyX7nJ0slKIiIiIlIaXZuKKbbyEZH/8+sUelRUFDQaDcrLy90uLy8vR1xcXK/2zsrKwqFDh7Bnz55e7UOkJNLJfGdrG30cCVFb3TmBdfXq1bjyyisRERGBiIgIpKent1l/7733QqVSuf254YYbvH03iIiIfKZlxZRW7XztIyLyd36dmNLr9Zg0aRK2bt3quszhcGDr1q0eW/W6ymg0YsyYMZgyZUpvwyRSjJimk/jOsmKK/Ix0AuvSpUuxf/9+pKamIiMjA2fPnm13/bZt23DnnXfi66+/Rl5eHhISEnD99dejpKTEbd0NN9yA0tJS15+//e1vfXF3iIiIfKJl6x7b+IhIKXz+bGU2m5Gfn4/8/HwAQHFxMfLz83Hy5EkAQHZ2NlavXo1169bh8OHDeOihh1BXV+c6pa+nWDFFA1FMqLOV72wtE1PkX1qewDpmzBisWrUKQUFBWLNmTbvr//rXv+Lhhx/GxIkTcdFFF+Gdd95xfXDRksFgQFxcnOtPREREX9wdIiIin9CqW1RMsY2PiBTC5zOm9u7dixkzZri+lk7MmzdvHtauXYs5c+agoqICS5YsQVlZGSZOnIjNmze3GYjeXa2HnxMNBFLFVAUTU+RH5DiBtb6+HjabDZGRkW6Xb9u2DTExMYiIiMA111yDF154AYMHD/a4j8VigcXS/O9DOsFQEIRuvV4IggCHw6HY1xglx6/k2AFlx8/YfUfO+JX6GJCTtkWVlJ4VU0SkED5PTE2fPh2iKHa4ZtGiRVi0aJGst5uVlYWsrCyYTCaEhYXJujeRv2qumGqEKIqcO0B+oasnsHbkd7/7HeLj45Genu667IYbbsDs2bMxcuRIFBUV4X/+53+QmZmJvLw8jycTLlu2DLm5uW0uLyoqQnBwcJfvk8PhQFVVFQoLC6FWK++NgZLjV3LsgLLjZ+y+I2f8ZrNZpqjIF1oOO2fFFBEphc8TU77CiikaiKKDnRVTNkHE+XobIgfpfRwRUe+99NJLWL9+PbZt24aAgADX5XfccYfr/8ePH48JEyYgKSkJ27Ztw7XXXtvuXjk5Oa7KXcBZMZWQkICkpCSEhoZ2OSZBEFBYWIjk5GSPSTB/puT4lRw7oOz4GbvvyBm/VClKyqRVc8YUESnPgE1MsWKKBiK9Vo2IIB3O19twtraRiSnyC705gfWVV17BSy+9hC1btmDChAkdrr3gggsQFRWFwsJCj4kpg8EAg8HQ5nKNRtPtN3tqtbpH1/MXSo5fybEDyo6fsfuOXPEr9f6Tk07bXCXFVj4iUgo+WxENMLFSOx9P5iM/0dMTWF9++WU8//zz2Lx5MyZPntzp7Zw+fRrnzp3DkCFDZImbiIjI3+haVEyxlY+IlGLAJqaMRiPGjBmDKVOm+DoUoj4V3TQAnSfzkT/p7ATWuXPnug1H/+Mf/4hnnnkGa9asQWJiIsrKylBWVuaajWI2m/Hb3/4Wu3btwvHjx7F161bccsstSE5ORkZGhk/uIxERkbe1TEaxlY+IlIKtfGzlowEmJsRZMfVpfglKzjd067qi6MC5c1UYfKoQKpXzl50gvQa/mpyAsCCd7LHSwNHZCawnT550G+j71ltvwWq14rbbbnPbZ+nSpXj22Weh0Wjwww8/YN26daiurkZ8fDyuv/56PP/88+226hEREfUHLU/lY2KKiJRiwCamiAaqYRGBAIBvCyrxbUFlD3c57/ZVdYMVv824qJeR0UDX0Qms27Ztc/v6+PHjHe4VGBiIzz//XKbIiIiIlEGnblkxxVY+IlIGJqaIBph7po1Ao12AudHe7euKooiamhqEhYVBpVLhxLl67CisxA+na7wQKRERERF1ByumiEiJBmxiymg0wmg0QhAEX4dC1Keigg3IyRzdo+sKgoCCggKkpKRAo9Hg+5PnsaOwEkfKamWOkoiIiIi6S8cZU0SkQAP22SorKwuHDh3Cnj17fB0KkWKNiguBSgVU1FpQaeYwdSIiIiJf0qpbVkyxlY+IlGHAJqaIqPeC9FokDh4EADjKqikiIiIin+KpfESkRHy2IqJeuSguBABwuNTk40iIiIiIBraWVVJaJqaISCH4bEVEvXJRXCgAcM4UERERkY+xlY+IlGjAJqaMRiPGjBmDKVOm+DoUIkW7aIizYupIGSumiIiIiHypZSufnhVTRKQQA/bZisPPieQxuqli6li5GXbB4eNoiIiIiAaulnOltKyYIiKFGLCJKSKSx7CIQAzSa2C1O1BcWefrcIiIiIgGLK2aw8+JSHn4bEVEvaJWqzBKGoDOOVNEREREPtMyGcVWPiJSin7xbPXvf/8bo0aNQkpKCt555x1fh0M04Fw0pGkAOk/mIyIiIvIZrdupfGzlIyJl0Po6gN6y2+3Izs7G119/jbCwMEyaNAm33norBg8e7OvQiAaM0XHSAHRWTBERERH5ivupfP2iBoGIBgDFP1vt3r0bY8eOxdChQxEcHIzMzEx88cUXvg6LaEBhxRQRERGR7+k0nDFFRMrj82er7du3Y+bMmYiPj4dKpcLGjRvbrDEajUhMTERAQADS0tKwe/du1/fOnDmDoUOHur4eOnQoSkpK+iJ0ImoizZg6U9OImnqbj6MhIiIiGphaJqN0bOUjIoXweStfXV0dUlNTsWDBAsyePbvN9zds2IDs7GysWrUKaWlpWLlyJTIyMnD06FHExMR0+/YsFgssFovra5PJWeEhCAIEQejyPoIgwOFwdOs6/kTJ8TN23/EU/yCdGkPDA1BS3YhDZ6oxdWSkjyL0rL8+9j3di4iIiPofLSumiEiBfJ6YyszMRGZmpsfvr1ixAgsXLsT8+fMBAKtWrcKmTZuwZs0aLF68GPHx8W4VUiUlJZg6darH/ZYtW4bc3Nw2lxcVFSE4OLjLcTscDlRVVaGwsBBqtfKe9JUcP2P3nY7iHxaiRkk18O2PPyPCfs43AXagPz/23WU2m2WKioiIiPyJrsXvCFompohIIXyemOqI1WrFvn37kJOT47pMrVYjPT0deXl5AICpU6fi4MGDKCkpQVhYGP7zn//gmWee8bhnTk4OsrOzsXr1aqxevRqCIKCwsBBJSUkIDQ3tcmzS9ZKTk6HRaHp+J31EyfEzdt/pKP5Jx0V8d+pnnBMCkJKS4qMIPevPj313SZWiRERE1L+0rJjSs5WPiBTCrxNTlZX/n707j2+qTvcH/snSJF3oRukGhSJFkH0TbsEFx46VYRiYRRl0BBnFK8JvwI4ieBVkVIoLCCpSFRkYR0TlXtERRLFaHAVBlo4gi7QUitB0oUu6pu055/dHmrRpk9C0SU5O+3m/Xp0xp885eU5I802efL/PKYEgCIiJibHbHhMTg9OnTwMAtFot1qxZg1tuuQWiKGLJkiUur8in1+uh1+vx17/+FX/9619hMpkQFhYGjUbj9oc9tVrdof38hZLzZ+7ycZb/kPgwAMDpwiq/Pbeu+ti7S6nnT0RERK7Z95jijCkiUga/Lky1129+8xv85je/cWufDRs2YMOGDey1QuQhg2MtMw5/MlZCECVo1PyWjoiIiMiXtC3ef3EpHxEphV+/WkVFRUGj0aCwsNBue2FhIWJjY2XKiogcSewZBL1WjdoGAfmlNXKnQ0RERNTttPxikEv5iEgp/LowpdPpMHbsWGRmZtq2iaKIzMxMJCcnd+rYCxYswMmTJ/H99993Nk0iguVbuUGxPQAApwvYw4iIiIjI11QqFQKaClJcykdESiH7q1VVVRWys7ORnZ0NAMjLy0N2djby8/MBwNaofOvWrTh16hTmz5+P6upq21X6OmrDhg0YMmQIrr/++s6eAhE1GdxUmDplrJQ5EyIiIqLuSdt0ZT4u5SMipZD91erw4cMYPXo0Ro8eDcBSiBo9ejSWL18OAJg5cyZefPFFLF++HKNGjUJ2djb27NnTpiG6uzhjisjzrH2mOGOKOmLDhg1ITEyEwWDAhAkTcOjQIZfxH3zwAQYPHgyDwYDhw4dj9+7ddr+XJAnLly9HXFwcAgMDkZKSgrNnz3rzFIiISEaeHkeUSmubMcWlfESkDLIXpiZPngxJktr8bNmyxRazcOFCXLhwAWazGQcPHsSECRPkS5iInBoc17SUjzOmyE3vvfce0tLSsGLFChw9ehQjR45EamoqioqKHMbv378fs2bNwn333Ydjx45hxowZmDFjBk6cOGGLef755/Hyyy8jIyMDBw8eRHBwMFJTU1FXV+er0yIiIh/xxjiiVNYlfFzKR0RK0SWuytcRvCofkedZZ0zll9bg5GUTDAGeeUOkVqmgVqmgUgFqtQod+f5PEAQUVzciuLwWGo3GI3n5krP8w4MCEKRT/kv52rVrMW/ePNsy7YyMDOzatQubN2/G0qVL28SvX78et99+Ox599FEAwNNPP429e/fi1VdfRUZGBiRJwrp16/DEE09g+vTpAIB//OMfiImJwc6dO/HHP/7Rrfzq6+tRX1/fZrtarYZWq7WLAyz/XtZ9rP9eKpUKAQEBbWIdaR3b0NAASZJ8FmvNvyVXxwUsfSGtGhsbIYqiR2IDAgKgUqnaHdvyuK7G+JbHFQTBY7FarRbqpmU0HYl19NzpzHFFUURjY6PTWI1GY7ufzsa2zF2n03XouJIkoaGhwSOxLf8+rxbb8rntznEB13/L7sR29jXC0fPGWayr1wil8vQ44g5/GyPUYiMkoQEQGtHQ0MAxokVsy+NyjOAY0d4xQq1W2/6NJUny2Os+x4hmyv8000ELFizAggULYDKZEBYWJnc6RF1CZLAOMaF6FJrM+NXL/5Y7HScuyJ1AJ9nnv+aOkfj92D4y5eIZ9fX1OHLkCJYtW2bbplarkZKSggMHDjjc58CBA0hLS7Pblpqaip07dwKw9Cs0Go1ISUmx/T4sLAwTJkzAgQMHnBamzGYzzGaz7bbJZFmW+sILL0Cv17eJHzhwIO666y7b7eeee842oJeWliIyMtI2iCcmJmLOnDm22LVr16KmxvEVLOPj4zFv3jzb7VdeeQXl5eUOY3v16oWHHnrIdjsjIwPFxcUOY8PDw7Fo0SLb7bfeeguXL19uEydJEmpqapCenm7b9vbbb+P8+fMOjxsQEIDHH3/cdvvdd991uWxyxYoVtv/esWMHTp486TR22bJltg8pH3/8sa0npSOPPPIIDAYDRFHEp59+iqNHjzqNXbRoEcLDwwEAn3/+udPnGgDMnz8f0dHRAICsrCzs27fPaez999+P3r17AwC+/fZbfPHFF05j58yZg8TERADAoUOH8Omnnzp87gDArFmzcO211wIAsrOz8dFHHzk97h/+8AcMHToUAPDjjz9ix44dTmOnT5+OUaNGAQB++uknvPvuu05jp0yZgvHjxwMAzp8/j61bt9r9vmXuv/zlLzFp0iQAwKVLl7Bp0yanx7355psxefJkAEBRURE2btzoNDY5ORm33XYbAKC8vBzr1693Gjtu3DhMnToVAFBdXY0XX3zRaezw4cMxdOhQ2wenls/91oYMGYI77rjDdvuZZ55xGuvsNcKRzrxGvPrqq8jLy2vzvAHcf43obB9XOXhjHHFEKWOE6oQR9WW12PHWYXwXF8MxognHCAuOERbujBGjRo3Cr3/9a4iiiLq6Ojz//PNOYzlGdEy3LUwRkXfMmZiIN74+B1F0/q2ZO6Sm/xElCaIECC6+jbvqsUQJKrVyvw12lL+6C8zSLykpgSAIbXoHxsTE4PTp0w73MRqNDuONRqPt99ZtzmIcSU9Px8qVK9tsLysrs/sGt2UeLd9cX7lyBY2NjZAkCbW1tSgtLbW9AQgMDLSLLSkpcbqsUKvV2sUWFxejstLxEllJkuxii4qKUFZW5jC2oaGhTWxpaanDY4qiiJycHNu3qoWFhQ5jHeVrNBqdxgKwiy0oKLhqrPWxv3z5ssvYnJwcGAwGlJaWXvW4ubm5CA0Nbddxz507h4qKCgCWN9CuYvPy8mxvFH/++WeXsefPn7e9Ab148SJKS0sdPnessdbb+fn5Lo974cIF22N24cIFl7H5+fkIDg623Yer2IsXLyIiIgKA48ehZe4///yz7d/Z1XPHeixr7JUrV1zGXr582RZrMpnaHVtTU+My1mg0Ii4uDjk5OWhsbHQZW1BQYPccvtpxHb1GONKZ14iSkhKHzxvA/deI3Nxcp+fjr7wxjjiilDFifFwAxsUGoNpUjiKNimNEE44RFhwj2sZebYy4fPkycnJyUFpaivr6eo4RXqCSXM257MJaLuX76aefUFFRYXvxaQ9BEHD27FkMHDhQscuClJo/c5ePkvNXcu6AZ/O3zhR193XPWy5fvozevXtj//79SE5Otm1fsmQJ9u3bh4MHD7bZR6fTYevWrZg1a5Zt22uvvYaVK1eisLAQ+/fvx6RJk3D58mXExcXZYu68806oVCq89957DnNx9G14QkICjEajw8fK1TKNnJwcJCUlKXYpX05ODoYMGWLLXynLNKwflhITE11OOffnZRqtnzudOa6vl2lYc1faMg1JknD+/HkkJSVBrVYrbilfXV0dzp492+Z54yj2aq8RtbW1iIyM9Jsxoj28MY44wjECdvlzjHA/lmOEMscI61K+nJwcDBgwwOXzjGNEx3TbGVNcykdE5B+ioqKg0WjafBAoLCxEbGysw31iY2Ndxlv/v7Cw0K4wVVhYaJuS7oher3e4HCMwMBCBgYFXPRdrjCAIMBgMCAwMdFpIbM/xrNwpRnoi1pp/yzd4vs6ho7GCIECtVkOv17f72P50bu157rh73JZvOL0Z6yx3d44LwO5Nuq9irc8b63PeneO687fsrViDwXDV543V1X7v6sOOv/LGOOIIxwgLjhHyxXKMkGeMAJqfO1qt1q3HmGNE+3SBRSBERKRkOp0OY8eORWZmpm2bKIrIzMy0++a7peTkZLt4ANi7d68tvn///oiNjbWLMZlMOHjwoNNjEhGRMnljHCEiIt/ptjOmeFU+IiL/kZaWhjlz5mDcuHEYP3481q1bh+rqaluDxdmzZ6N37962RquLFi3CzTffjDVr1mDq1KnYvn07Dh8+jDfeeAOAZarx4sWL8cwzz2DgwIHo378/nnzyScTHx2PGjBlynSYREXmJp8cRIiLynW5bmOJSPiIi/zFz5kwUFxdj+fLlMBqNGDVqFPbs2WNrTJufn2/rhwAAEydOxLZt2/DEE0/g8ccfx8CBA7Fz504MGzbMFrNkyRJUV1fjgQceQHl5OW644Qbs2bMHBoPB5+dHRETe5Y1xhIiIfKPbFqaIiMi/LFy4EAsXLnT4u6ysrDbb7rjjDrvL8bamUqnwt7/9DX/72988lSIREfkxT48jRETkG+wxRUREREREREREsmBhioiIiIiIiIiIZMHCFBERERERERERyaLbFqY2bNiAIUOG4Prrr5c7FSIiIiIiIiKibqnbNj+3XpWvoqIC4eHhMJlMbu0vCAKqqqpgMpmg0Wi8lKX3KDl/5i4fJeev5NwBz+Zvfb2TJMkTqXVp1seIY4RyKDl3QNn5M3f5cIyQB8cI5eWv5NwBZeev5NwBZeevhDGi2xamrCorKwEACQkJMmdCRORblZWVCAsLkzsNv8Yxgoi6K44RV8cxgoi6K0+PESqpm38dIooiLl++jB49ekClUrV7P5PJhISEBFy8eBGhoaFezNA7lJw/c5ePkvNXcu6AZ/OXJAmVlZWIj4+HWt1tV3S3C8cI5eWv5NwBZefP3OXDMUIeHCOUl7+ScweUnb+ScweUnb8SxohuP2NKrVajT58+Hd4/NDRUcU/MlpScP3OXj5LzV3LugOfy57fg7cMxQrn5Kzl3QNn5M3f5cIzwLY4Rys1fybkDys5fybkDys7fn8cIfg1CRERERERERESyYGGKiIiIiIiIiIhkwcJUB+n1eqxYsQJ6vV7uVDpEyfkzd/koOX8l5w4oP//uRun/XkrOX8m5A8rOn7nLR+n5dzdK//dScv5Kzh1Qdv5Kzh1Qdv5KyL3bNz8nIiIiIiIiIiJ5cMYUERERERERERHJgoUpIiIiIiIiIiKSBQtTREREREREREQkCxamiIiIiIiIiIhIFixMERERERERERGRLFiY6qANGzYgMTERBoMBEyZMwKFDh+ROqY2vv/4a06ZNQ3x8PFQqFXbu3Gn3e0mSsHz5csTFxSEwMBApKSk4e/asPMm2kp6ejuuvvx49evRAdHQ0ZsyYgTNnztjF1NXVYcGCBejZsydCQkLw+9//HoWFhTJlbG/jxo0YMWIEQkNDERoaiuTkZHz66ae23/tz7q2tXr0aKpUKixcvtm3z1/yfeuopqFQqu5/Bgwfbfu+vebd06dIl/OlPf0LPnj0RGBiI4cOH4/Dhw7bf+/PfLTXjGOFdHCP8h5LGCED54wTHiK5BCWMEwHFCLhwj5MMxQj4sTHXAe++9h7S0NKxYsQJHjx7FyJEjkZqaiqKiIrlTs1NdXY2RI0diw4YNDn///PPP4+WXX0ZGRgYOHjyI4OBgpKamoq6uzseZtrVv3z4sWLAA3333Hfbu3YuGhgbcdtttqK6utsU8/PDD+Ne//oUPPvgA+/btw+XLl/G73/1Oxqyb9enTB6tXr8aRI0dw+PBh/OIXv8D06dPx448/AvDv3Fv6/vvv8frrr2PEiBF22/05/6FDh6KgoMD2880339h+5895A0BZWRkmTZqEgIAAfPrppzh58iTWrFmDiIgIW4w//92SBccI7+MY4R+UOEYAyh0nOEZ0DUoZIwCOE3LhGCEvjhEykcht48ePlxYsWGC7LQiCFB8fL6Wnp8uYlWsApA8//NB2WxRFKTY2VnrhhRds28rLyyW9Xi+9++67MmToWlFRkQRA2rdvnyRJllwDAgKkDz74wBZz6tQpCYB04MABudJ0KSIiQtq0aZNicq+srJQGDhwo7d27V7r55pulRYsWSZLk34/9ihUrpJEjRzr8nT/nbfXYY49JN9xwg9PfK+3vtrviGOF7HCN8T4ljhCQpe5zgGNE1KHGMkCSOE3LjGOEbHCPkwxlTbqqvr8eRI0eQkpJi26ZWq5GSkoIDBw7ImJl78vLyYDQa7c4jLCwMEyZM8MvzqKioAABERkYCAI4cOYKGhga7/AcPHoy+ffv6Xf6CIGD79u2orq5GcnKyYnJfsGABpk6dapcn4P+P/dmzZxEfH49rrrkGd999N/Lz8wH4f94A8PHHH2PcuHG44447EB0djdGjR+PNN9+0/V5pf7fdEccIeXCM8D2ljhGAcscJjhHK11XGCEB5zzeljhMcI3yPY4Q8WJhyU0lJCQRBQExMjN32mJgYGI1GmbJynzVXJZyHKIpYvHgxJk2ahGHDhgGw5K/T6RAeHm4X60/5Hz9+HCEhIdDr9XjwwQfx4YcfYsiQIYrIffv27Th69CjS09Pb/M6f858wYQK2bNmCPXv2YOPGjcjLy8ONN96IyspKv87b6ty5c9i4cSMGDhyIzz77DPPnz8df/vIXbN26FYCy/m67K44RvscxwveUOkYAyh4nOEYoX1cZIwBlPd+UOE5wjJAHxwj5aOVOgOhqFixYgBMnTtit71WCQYMGITs7GxUVFdixYwfmzJmDffv2yZ3WVV28eBGLFi3C3r17YTAY5E7HLVOmTLH994gRIzBhwgT069cP77//PgIDA2XMrH1EUcS4ceOwatUqAMDo0aNx4sQJZGRkYM6cOTJnR+SfOEb4lpLHCEDZ4wTHCKKOUeI4wTFCHhwj5MMZU26KioqCRqNp032/sLAQsbGxMmXlPmuu/n4eCxcuxCeffIKvvvoKffr0sW2PjY1FfX09ysvL7eL9KX+dToekpCSMHTsW6enpGDlyJNavX+/3uR85cgRFRUUYM2YMtFottFot9u3bh5dffhlarRYxMTF+nX9L4eHhuPbaa5GTk+P3jzsAxMXFYciQIXbbrrvuOtsUYqX83XZnHCN8i2OE73WlMQJQ1jjBMUL5usoYASjn+abUcYJjhH/gGOE7LEy5SafTYezYscjMzLRtE0URmZmZSE5OljEz9/Tv3x+xsbF252EymXDw4EG/OA9JkrBw4UJ8+OGH+PLLL9G/f3+7348dOxYBAQF2+Z85cwb5+fl+kb8joijCbDb7fe633norjh8/juzsbNvPuHHjcPfdd9v+25/zb6mqqgq5ubmIi4vz+8cdACZNmtTmUsY//fQT+vXrB8D//26JY4SvcIyQT1caIwBljRMcI5Svq4wRgP8/37raOMExQh4cI3xI5ubrirR9+3ZJr9dLW7ZskU6ePCk98MADUnh4uGQ0GuVOzU5lZaV07Ngx6dixYxIAae3atdKxY8ekCxcuSJIkSatXr5bCw8Oljz76SPrhhx+k6dOnS/3795dqa2tlzlyS5s+fL4WFhUlZWVlSQUGB7aempsYW8+CDD0p9+/aVvvzyS+nw4cNScnKylJycLGPWzZYuXSrt27dPysvLk3744Qdp6dKlkkqlkj7//HNJkvw7d0daXk1Dkvw3/7/+9a9SVlaWlJeXJ3377bdSSkqKFBUVJRUVFUmS5L95Wx06dEjSarXSs88+K509e1Z65513pKCgIOmf//ynLcaf/27JgmOE93GM8C9KGSMkSdnjBMeIrkEpY4QkcZyQC8cI+XCMkA8LUx30yiuvSH379pV0Op00fvx46bvvvpM7pTa++uorCUCbnzlz5kiSZLlk5JNPPinFxMRIer1euvXWW6UzZ87Im3QTR3kDkP7+97/bYmpra6WHHnpIioiIkIKCgqTf/va3UkFBgXxJt/DnP/9Z6tevn6TT6aRevXpJt956q20wkST/zt2R1gOKv+Y/c+ZMKS4uTtLpdFLv3r2lmTNnSjk5Obbf+2veLf3rX/+Shg0bJun1emnw4MHSG2+8Yfd7f/67pWYcI7yLY4R/UcoYIUnKHyc4RnQNShgjJInjhFw4RsiHY4R8VJIkSd6dk0VERERERERERNQWe0wREREREREREZEsWJgiIiIiIiIiIiJZsDBFRERERERERESyYGGKiIiIiIiIiIhkwcIUERERERERERHJgoUpIiIiIiIiIiKSBQtTREREREREREQkCxamiPxcYmIi1q1bJ3caRETkhzhGEBGRMxwjSClYmCJq4d5778WMGTMAAJMnT8bixYt9dt9btmxBeHh4m+3ff/89HnjgAZ/lQUREjnGMICIiZzhGEHWcVu4EiLq6+vp66HS6Du/fq1cvD2ZDRET+hGMEERE5wzGCugvOmCJy4N5778W+ffuwfv16qFQqqFQqnD9/HgBw4sQJTJkyBSEhIYiJicE999yDkpIS276TJ0/GwoULsXjxYkRFRSE1NRUAsHbtWgwfPhzBwcFISEjAQw89hKqqKgBAVlYW5s6di4qKCtv9PfXUUwDaTsHNz8/H9OnTERISgtDQUNx5550oLCy0/f6pp57CqFGj8PbbbyMxMRFhYWH44x//iMrKSu8+aERE3QTHCCIicoZjBJH7WJgicmD9+vVITk7GvHnzUFBQgIKCAiQkJKC8vBy/+MUvMHr0aBw+fBh79uxBYWEh7rzzTrv9t27dCp1Oh2+//RYZGRkAALVajZdffhk//vgjtm7dii+//BJLliwBAEycOBHr1q1DaGio7f4eeeSRNnmJoojp06ejtLQU+/btw969e3Hu3DnMnDnTLi43Nxc7d+7EJ598gk8++QT79u3D6tWrvfRoERF1LxwjiIjIGY4RRO7jUj4iB8LCwqDT6RAUFITY2Fjb9ldffRWjR4/GqlWrbNs2b96MhIQE/PTTT7j22msBAAMHDsTzzz9vd8yW68wTExPxzDPP4MEHH8Rrr70GnU6HsLAwqFQqu/trLTMzE8ePH0deXh4SEhIAAP/4xz8wdOhQfP/997j++usBWAaeLVu2oEePHgCAe+65B5mZmXj22Wc798AQERHHCCIicopjBJH7OGOKyA3/+c9/8NVXXyEkJMT2M3jwYACWbxesxo4d22bfL774Arfeeit69+6NHj164J577sGVK1dQU1PT7vs/deoUEhISbIMJAAwZMgTh4eE4deqUbVtiYqJtMAGAuLg4FBUVuXWuRETkHo4RRETkDMcIIuc4Y4rIDVVVVZg2bRqee+65Nr+Li4uz/XdwcLDd786fP49f//rXmD9/Pp599llERkbim2++wX333Yf6+noEBQV5NM+AgAC72yqVCqIoevQ+iIjIHscIIiJyhmMEkXMsTBE5odPpIAiC3bYxY8bgf//3f5GYmAittv1/PkeOHIEoilizZg3UastExffff/+q99faddddh4sXL+LixYu2bztOnjyJ8vJyDBkypN35EBFR53CMICIiZzhGELmHS/mInEhMTMTBgwdx/vx5lJSUQBRFLFiwAKWlpZg1axa+//575Obm4rPPPsPcuXNdDgZJSUloaGjAK6+8gnPnzuHtt9+2NTNseX9VVVXIzMxESUmJw6m5KSkpGD58OO6++24cPXoUhw4dwuzZs3HzzTdj3LhxHn8MiIjIMY4RRETkDMcIIvewMEXkxCOPPAKNRoMhQ4agV69eyM/PR3x8PL799lsIgoDbbrsNw4cPx+LFixEeHm77BsORkSNHYu3atXjuuecwbNgwvPPOO0hPT7eLmThxIh588EHMnDkTvXr1atP0ELBMpf3oo48QERGBm266CSkpKbjmmmvw3nvvefz8iYjIOY4RRETkDMcIIveoJEmS5E6CiIiIiIiIiIi6H86YIiIiIiIiIiIiWbAwRUREREREREREsmBhioiIiIiIiIiIZMHCFBERERERERERyYKFKSIiIiIiIiIikgULU0REREREREREJAsWpoiIiIiIiIiISBYsTBERERERERERkSxYmCIiIiIiIiIiIlmwMEVERERERERERLJgYYqIiIiIiIiIiGTBwhQREREREREREcmChSkiIiIiIiIiIpIFC1NERERERERERCQLFqaIiIiIiIiIiEgWLEwREREREREREZEsWJgiIiIiIiIiIiJZsDBFRERERERERESyYGGKiIiIiIgU7euvv8a0adMQHx8PlUqFnTt3XnWfrKwsjBkzBnq9HklJSdiyZYvX8yQiorZYmCIiIiIiIkWrrq7GyJEjsWHDhnbF5+XlYerUqbjllluQnZ2NxYsX4/7778dnn33m5UyJiKg1lSRJktxJEBEREREReYJKpcKHH36IGTNmOI157LHHsGvXLpw4ccK27Y9//CPKy8uxZ88eH2RJRERWWrkTkJsoirh8+TJ69OgBlUoldzpERF4nSRIqKysRHx8PtZoTZ13hGEFE3U13GSMOHDiAlJQUu22pqalYvHix033MZjPMZrPttiiKKC0tRc+ePTlGEFG34K0xotsXpi5fvoyEhAS50yAi8rmLFy+iT58+cqfh1zhGEFF31dXHCKPRiJiYGLttMTExMJlMqK2tRWBgYJt90tPTsXLlSl+lSETktzw9RnT7wlSPHj0AWB7Y0NDQdu8nCAJyc3MxYMAAaDQab6XnNUrOn7nLR8n5Kzl3wLP5m0wmJCQk2F7/yDmOEcrLX8m5A8rOn7nLh2OEbyxbtgxpaWm22xUVFejbt6/bYwQRkVJ5a4zo9oUp67Tb0NBQtz90hISEIDQ0VLFvYJSaP3OXj5LzV3LugHfy57KDq+MYobz8lZw7oOz8mbt8OEa4LzY2FoWFhXbbCgsLERoa6nC2FADo9Xro9fo2290dI4iIlM7TY0TXXThORERERETkQHJyMjIzM+227d27F8nJyTJlRETUfbEwRUREREREilZVVYXs7GxkZ2cDAPLy8pCdnY38/HwAlmV4s2fPtsU/+OCDOHfuHJYsWYLTp0/jtddew/vvv4+HH35YjvSJiLo1FqaIiIiIiEjRDh8+jNGjR2P06NEAgLS0NIwePRrLly8HABQUFNiKVADQv39/7Nq1C3v37sXIkSOxZs0abNq0CampqbLkT0TUnXX7HlNERERERKRskydPhiRJTn+/ZcsWh/scO3bMi1kREVF7cMYUERERERERERHJgoUpIiJShK+//hrTpk1DfHw8VCoVdu7cedV9srKyMGbMGOj1eiQlJTn8xpyIiIiIiOTjN4WpjRs3YsSIEbbLrSYnJ+PTTz91uc8HH3yAwYMHw2AwYPjw4di9e7ePsiUiIl+rrq7GyJEjsWHDhnbF5+XlYerUqbjllluQnZ2NxYsX4/7778dnn33m5UyJiIiIiKi9/KbHVJ8+fbB69WoMHDgQkiRh69atmD59Oo4dO4ahQ4e2id+/fz9mzZqF9PR0/PrXv8a2bdswY8YMHD16FMOGDZPhDIiUQRQl/HjZhOr6xg7sK+JnYy1KtaVQqy11ba1ahQG9QhARrPN0qkR2pkyZgilTprQ7PiMjA/3798eaNWsAANdddx2++eYbvPTSS15vbvvjZRNOt/pb6Yy4MAP69Qz2QGZERERERP7FbwpT06ZNs7v97LPPYuPGjfjuu+8cFqbWr1+P22+/HY8++igA4Omnn8bevXvx6quvIiMjw/0EqqsBjabtdo0GMBjs4wBAEKCqqbHfT60GAgPbxjrSOramBnDWsFGlAoKCOhZbWwuIYts4a/4tOYu1Cm7xoaiuDhAEz8QGBVnyBgCzGWh0UTBpeW5ms/PHAbA8vtYPhPX1QEODZ2INhuZ/c3diGxqA2tq2zxsrvR7Qaptj6+udH7dlbGOj5bFwRqcDAgJsse/9+yz+9q+TDkMbNFo0aizHVYsC9I3Ozu0cGjUaNGgCbLH9QzQYHBeKIbGh6N8rGBrrvykAMUALKaCpcCWK0NTVOU23day6tg4CJEiSBFGSILR4ikoaDUSdvumGBE1drdPjCioVCspM+KHyEtQqlctYSa2GqG/+u9fU1ngmVqWCaAjsUKyqphpFhYX4sQh2hY6xfcPRNyrEvdeIbuLAgQNISUmx25aamorFixc73cdsNsPc4u/JZDIBAARBgODqdayVp/51EkfzywFcdidllz5bdAOSokM8djxXBEGAKIpunbO/UHLugLLzZ+7y8WT+Sn0MiIhIufymMNWSIAj44IMPUF1djeTkZIcxBw4cQFpamt221NTUq/YccfahA/HxDuOlKVMg/utfttvq6GioamqgATCodexNN0H88svm2MREqEpKHB933DiI333XHDtkCFQXLjiOHTIE4g8/NMdefz1UJx0XFqR+/SDm5jbH3nQTVIcPt4nTABgQEQHBaGyOvf12qL7+2vFxg4IgWh8rAOrf/Q4qF0sthRbFJfWf/gTV//6v89iKClshS/XAA1D/4x/OYwsKIERGQhRFIC0NeP1157E5OUBiouW4y5ZBvXat89j//AdoKoCqnnkG6qefdh574ABw/fWW2JdegnrpUuexX3wBTJ5sic3IgOYvf2nzvLHFfvQRMHWqJfbtt6G+7z7nx92+HfjDHyw3/vd/ofnjH53Gim+9BWnOHMuN3bsxa/p0zHIS+/Jv/4KPJ/0WADAyJxtrMh52etw3pv433r/lj6htENDz1A/4+IU0p7HrJs3CuhvuBgAMLL6AvZsXOI19ffzvkH7LnwEAfSoK8U2G88fhH6OnYvlt8wEAkTUVOPrK3U5jdwy7FWumPgygGIH1dTj10h+cxu4aNAkLZiyz3T7/3K+dxn55zTj8+Y6nbLdPrv09ghocFwq/SxiGP9612nb7yMt3oWetyWHsf2IHYvqcl2y3v9n4Z/QxFTmMdfc1QugmVyAyGo2IiYmx2xYTEwOTyYTa2loEtvxyoEl6ejpWrlzZZntubi5CQtpfFArTNCA+RA2NRoPOlgKNVY2oFyTsP54Dqa9vZk2JoojS0lLk5OR4ZMaXLyk5d0DZ+TN3+Xgy/6qqKg9lRURE1D5+VZg6fvw4kpOTUVdXh5CQEHz44YcYMmSIw1hnHziMLQotjjj70OFMdXU1fj571nb7Wkly+iGjtrYW+S1ikwTB6QNcV1eHCy1iBzQ0IMBJbL3ZjLwWsf3NZuidxDY2NCC3RWy/ujq0/ehlIYmi3RuYvrW1CHIWK0k42+K4faqr4eojWsvY+KoqhLqIzcnJgdQ02yPOZEKYi9hz586hobQUpaWlqKioQKSL2PPnz6OhaTZTr/Jy9HQRe+HCBdTrLLN0okpLEeUi9uLFi6gLDwcARJaUINpF7KVLl1DT9FiEFxUh1kXs5cuXUd0UG1ZYiDgXscaCAlQ2xfYoKEBvF7GFhYWoaIoNunwZfV3E3jk0FLdNtWQZdCgScDH5cMZ1PXBTU6zUtxhwXk9EdLAWw2Iss4r6Ss6evRZRQRpbbHSA69joYA3G9bY8w0MrXcwaA9AzSIMRvbQICAiAwcVkNACIDGw+7tWEGexj1S5mJPXQ28dq1c5jg3Vqu1id1nms268RLYrXZG/ZsmV2X3qYTCYkJCRgwIABCA119Upm7/VrrkFOTg6SkpKgcTQb1w13bTqEg3mliOwVg4EDXb0yeI4gCB7L39eUnDug7PyZu3w8mb/J5PgLEyIiIm9RSZKrtVC+VV9fj/z8fFRUVGDHjh3YtGkT9u3b57A4pdPpsHXrVsya1Tz347XXXsPKlStRWFjo9D4czZhKSEhA6cWLjj90OFnKJwgCcnNzMWDAgOY3AApaymfLf8SI5vwVspRPaCqoJSUkQKOwpXxCbW3b542VD5bynfm5DL9fvw9BOg32PzYZWo3aaSwEwfJv14Ld895gsMQ7ibUTENAcK4qW55onYrVay2MBWP4mWi9PbZm7SoWcixctb9rVapexTpfwdja2E68RQmUlcnNyHD933HyNMDU2IjIyEhUVFW4VW/yJSqXChx9+iBkzZjiNuemmmzBmzBisW7fOtu3vf/87Fi9ejIqKinbdj8lkQlhYmNuPlSAIOHv2LAYOHNjpD4n3/v0Qss4U44U/jMAd4xI6daz28mT+vqbk3AFl58/c5ePJ/Dv6utcd8bEiou7GW697fjVjSqfTISkpCQAwduxYfP/991i/fj1ed7BcKzY2tk0BqrCwELGxruakAHq9Hnp927kEmtBQaNrzwFpjBAGqkBDLfs7eALjzD9Wjh3dinS09seav0TTn78YyFbvCkydjg5zN2WpBEKBWq6EJCmr/m6/AQPuCgByxGg0QEHD15401tmWx42rHdfCcduRoQTVqdQaMTYqCPiL86sfVtWpo7ux57yjW1XEDnM0P7EQs4Ppvzvq8sT7n3fn79IfYHj3a99xpinVF002+DU9OTm5ztda9e/c6XSLurwxay793XaOLLw6IiIiIiBTKrxfRi6JoN7uppeTkZGRmZtptU+IHDvJ/l8tr8c7BC6hrUH4z0MPnSwEAY/tFyJwJkfuqqqqQnZ2N7OxsAEBeXh6ys7ORn58PwLIMb/bs2bb4Bx98EOfOncOSJUtw+vRpvPbaa3j//ffx8MPOe6f5I0OAZag2d4HXICIiIiKi1vxmxtSyZcswZcoU9O3bF5WVldi2bRuysrLw2WefAQBmz56N3r17Iz09HQCwaNEi3HzzzVizZg2mTp2K7du34/Dhw3jjjTfkPA3qgl78/Az+7+glBGjUuNNHy2i85fvzZQCA6xNddeci8k+HDx/GLbfcYrtt7QU1Z84cbNmyBQUFBbYiFQD0798fu3btwsMPP4z169ejT58+2LRpE1JTU32ee2cYAppmTLEwRURERERdkN8UpoqKijB79mwUFBQgLCwMI0aMwGeffYZf/vKXAID8/Hy7q4xMnDgR27ZtwxNPPIHHH38cAwcOxM6dOzFs2DC5ToG6qMvllh5H+Vdc9CRSgMvltbhUXguNWoVRfcPlTofIbZMnT4artohbtmxxuM8xhV+FsLkwxaV8RERERNT1+E1h6q233nL5+6ysrDbb7rjjDtxxxx1eyojIorzG0ty8qNJFc28FOHzBMltqSFwoQvR+86dPRFeh11q+lOGMKSIiIiLqivy6xxSRPyirsVwdr9Dk4sp3CmDtLzUukf2liJREb50x1cjCFBERERF1PSxMEbkgSRLKbDOmlF6YssyYGteP/aWIlMTa/JxL+YiIiIioK2JhisiF2gYB9U2XaC9W8FI+U10DThtNADhjikhpDFo2PyciIiKirouFKSIXSqvrbf9dUlWPBkGZMxaO5ZdDlIC+kUGICTXInQ4RuYHNz4mIiIioK2NhisgFa+Nzq5IqZS7nY38pIuWyLuUzs8cUEREREXVBLEwRuWBtfG5VpNAG6N9bC1PsL0WkONYZU2bOmCIiIiKiLoiFKSIXylrNmCo0Ka/PVIMgIvtiOQDges6YIlIcW/NzzpgiIiIioi6IhSkiF8pbz5hS4JX5frxsQl2DiPCgAAzoFSJ3OkTkJjY/JyIiIqKujIUpIhfKqu1nTCmxMGXrL9UvAmq1SuZsiMhdejY/JyIiIqIujIUpIhesPaY0TQWdIgUu5bP1l0pkfykiJbIt5eOMKSIiIiLqgliYInLBWphK7BkEQHkzpiRJwuHzZQAsM6aISHn0XMpHRERERF2YVu4EiPyZtfn54NhQ5BZXo6jS+zOmKusacEfGAeSX1nT6WJIE1DYI0GnVGN4nzAPZEZGvNTc/51I+IiIiIup6WJgicsHa/PzamB7YdbwAhSbvz5g6fL4Mp42VHj3mL6+Lsc26ICJlMTT1mKpvFCGKEnvFEREREVGXwsIUkQvWpXyDYi1Xs7tSZYYgSraeU95w/ko1AGDyoF54evqwTh9PpQLiwwI7fRwikoe1MAUA5kYRgToWmYmIiIio62BhisiF8qar8iVFh0CtAkTJUpyKDjV47T7Pl1gKU4NjQ5EQGeS1+yEiZTBom9tB1jUILEwRERERUZfC5udETtQ3iqg0NwIAegbrERWiBwCvL+c7f8XSW6p/FItSRARoNWpom2Zp1jWyAToRERERdS0sTBE5UV5rWcanUgGhgQGIaZol5e0G6NalfP16Bnv1fohIOazL+cwNbIBORERERF0LC1NETpQ3XZEvLDAAGrUK0T0sM6aKKr03Y6pBEPFzWS0AIJGFKSJq0nxlPs6YIiIiIqKuhYUpIifKqi0zpiKCdACA6FDrUj7vzZj6uawWgijBEKBGTNP9ERFZr6pZxxlTRERERNTFsDBF5ERZ04yp8KAAAEB0D+tSPu/NmLIu40vsGQyVipeEJyIL24ypBs6YIiIiIqKuhYUpIifKaywzpiJbzZgq8mLz8wslzYUpIiIra48pFqaIiIiIqKthYYrIieYZU02FqR7eb35uvSJfP16Rj4haaC5McSkfEREREXUtLEwROVFWY+0xZVnKF+ODGVMtl/IREVnptZbh2szm50RERETUxbAwReSErfl5sP2MqeIqM0RR8sp9nudSPiJygEv5iIiIiKirYmGKyInWzc+jQnRQqQBBlHClqWjlSQ2CiJ/LagEAiVzKR0QtNDc/51I+IiIiIupaWJgicqJ183OtRo2ewU3L+bzQZ+pSWS0aRQmGADVimmZnEREBgEHLGVNERERE1DWxMEXkhLXHlLX5OQBE97AWpjzfZ8raX6pfZDDUapXHj09EyqVn83MiIiIi6qJYmCJyorxpKV9EcIBtW7StAbrnZ0xdsF6RryeX8RGRPdtSPjY/JyIiIqIuhoUpIgdEUWpxVb7mGVPWJXbeuDJfXlPj8/5RbHxORPaszc/NnDFFRERERF2M3xSm0tPTcf3116NHjx6Ijo7GjBkzcObMGZf7bNmyBSqVyu7HYGBvHuq8yrpGWC+8Z21+DrSYMeWFpXwXrEv5eEU+ImrF1mOKM6aIiJzasGEDEhMTYTAYMGHCBBw6dMhl/Lp16zBo0CAEBgYiISEBDz/8MOrqPD8rnoiIXPObwtS+ffuwYMECfPfdd9i7dy8aGhpw2223obq62uV+oaGhKCgosP1cuHDBRxlTV2adLRWk00Df9IEQaO4xVeiFpXznm5byJXIpHxG10nxVPhamiIgcee+995CWloYVK1bg6NGjGDlyJFJTU1FUVOQwftu2bVi6dClWrFiBU6dO4a233sJ7772Hxx9/3MeZExGRVu4ErPbs2WN3e8uWLYiOjsaRI0dw0003Od1PpVIhNjbW2+lRN+NoGR8ARIc2LeXz8IypRkHExdKmwhSX8hFRK1dbylfXIOC5Pac9tsxYrQJu6aPGwIEeORwRkdetXbsW8+bNw9y5cwEAGRkZ2LVrFzZv3oylS5e2id+/fz8mTZqEu+66CwCQmJiIWbNm4eDBgz7Nm4iI/Kgw1VpFRQUAIDIy0mVcVVUV+vXrB1EUMWbMGKxatQpDhw51Gm82m2E2N79xN5lMAABBECAI7f8mWhAEiKLo1j7+RMn5+yL3K1WW50h4UIDd/UQ1NUIvqqzr0P07yz3/Sg0aRQl6rRq9ggP89t+Fzxv5eDJ/pT4G3dnVZkz9+2wJ/v7teY/eZ36RAdMnefSQREReUV9fjyNHjmDZsmW2bWq1GikpKThw4IDDfSZOnIh//vOfOHToEMaPH49z585h9+7duOeee5zej7PPEURE1Dl+WZgSRRGLFy/GpEmTMGzYMKdxgwYNwubNmzFixAhUVFTgxRdfxMSJE/Hjjz+iT58+DvdJT0/HypUr22zPzc1FSEiIWzmWlpYiJycHarXfrIhsNyXn74vcT+dVAgD0aMDZs2dt26urLFfqKzLV4aeffoJKpXLruM5yP3zJMlsqNkSD3NyczqbvNXzeyMeT+VdVVXkoK/IV64wpZz2mrLM8r40JwZ/+q1+n7utSeS1e33cOBZWNnToOEZGvlJSUQBAExMTE2G2PiYnB6dOnHe5z1113oaSkBDfccAMkSUJjYyMefPBBl0v5nH2OICKizvHLwtSCBQtw4sQJfPPNNy7jkpOTkZycbLs9ceJEXHfddXj99dfx9NNPO9xn2bJlSEtLs902mUxISEjAgAEDEBoa2u4cBUFATk4OkpKSoNForr6Dn1Fy/r7I/d9F5wEUIT4qDANbrGXp1ygCO/LRKAJRvRMRGaxzegxHnOX+3ZULAAowMC7C7v78DZ838vFk/vyGV3n0WuuMKcdL+WrMliLSwJgemJ2c2Kn7KjLV4fV951BS04gGQVTk3wsR0dVkZWVh1apVeO211zBhwgTk5ORg0aJFePrpp/Hkk0863MfZ5wgiIuocvytMLVy4EJ988gm+/vprp7OenAkICMDo0aORk+N8xoler4der2+zXaPRuP3mW61Wd2g/f6Hk/L2de0Wt5UNeZLDe7j4CNRpEButQWl2PkuoG9AoNdPvYjnK/UFoLAOgfFez3/x583sjHU/kr9fy7M711xpSTpXzV9ZbtIbrOD+tRIXrotGrUN4owVtQhsVfA1XciIpJRVFQUNBoNCgsL7bYXFhY67UX75JNP4p577sH9998PABg+fDiqq6vxwAMP4H/+538czk529jmCiIg6x2/Ws0iShIULF+LDDz/El19+if79+7t9DEEQcPz4ccTFxXkhQ+pOrMtiwoPazoiyXpnPkw3QL1xh43Oi9uiulwI3aF0XpqqaZkwF6TtfdFSrVegdbrnQw8/ltZ0+HhGRt+l0OowdOxaZmZm2baIoIjMz0251RUs1NTVtik/WL24kSfJeskRE1IbfFKYWLFiAf/7zn9i2bRt69OgBo9EIo9GI2trmN8WzZ8+2a2r4t7/9DZ9//jnOnTuHo0eP4k9/+hMuXLhg++aDqKPKayy9pCKD2s4UsF2Zz+S5D7fnS6oBAIk9WZgicqY7Xwq8ufm546V81U2FqRC9ZyZC9wm3zAa9VMbCFBEpQ1paGt58801s3boVp06dwvz581FdXW27Sl/rzxHTpk3Dxo0bsX37duTl5WHv3r148sknMW3aNM4sJiLyMb9Zyrdx40YAwOTJk+22//3vf8e9994LAMjPz7f7ZqOsrAzz5s2D0WhEREQExo4di/3792PIkCG+Spu6KOuMqQgHPaQ8PWOqURBxsYwzpoiupjtfCtza/NzspPl5tdmyPdhThamIIABX8DMLU0SkEDNnzkRxcTGWL18Oo9GIUaNGYc+ePbaG6K0/RzzxxBNQqVR44okncOnSJfTq1QvTpk3Ds88+K9cpEBF1W35TmGrPlNmsrCy72y+99BJeeuklL2VE3VlZ04wpl0v5PDRj6nJ5HRoECTqtGnFNs7GIyJ7clwIXBAGC4Lgo5IggCBBF0a19XGmaMIW6BsfHrDJbXrMCtWqP3Gd8mOV17mJZjcfOwVc8/dj7mpLzZ+7y8WT+Sn0MAEuv2oULFzr8XevPEVqtFitWrMCKFSt8kBkREbniN4UpIn9Sbp0x5WApX4x1KZ+HZkydv2JZxtc3MghqtcojxyTqauS+FHhubi5CQkLana8oiigtLUVOTo7DBrruKq62LNWra2jE2bNn2/6+zFJAqywvwdmznX9t0potx8spKHN4f/7M04+9ryk5f+YuH0/mX1VV5aGsiIiI2oeFKSIHSquthSnnM6YKPTRj6sIV9pci8gZPXgp8wIABCA0Nbfd9C4KAnJwcJCUleaRXSVRNPYALaBSBawYkQdOqiC19eQVALQb07Y2BA2McHsMdpoArwL+LUVoHDBw4sNPH8yVPP/a+puT8mbt8PJm/daYoERGRr7AwRdRKbb0Ac6OlwXC4w+bnnu0xlVfS1F+qZ5BHjkfUFcl9KXCNRuP2hz21Wt2h/RwJ1jcXyRtEQBdgf8yaph5TPQw6j9xf356W2WFGUx1EqBCgUdYMEk8+9nJQcv7MXT6eyl+p509ERMqlrHeaRD5gbXweoFE5vMJVdI/mpXyeuJywbcYUG58TOdXdLwWu1zafR12Dox5TlqV+wXrPfKCMCtFBp1FBlABjheeuQEpERERE1BpnTBG1Yi1MhQfpoFK17fnUq2kpX32jiEc++AFaN/pCSZKEClMFwo6bbcc+ml8GgEv5iK4mLS0Nc+bMwbhx4zB+/HisW7euzaXAe/fujfT0dACWS4GvXbsWo0ePti3lU+qlwNVqFXRaNeobRdQ1zehsqabeUphyVEzvCJVKhehgLX42NeBiWQ0SIjmjk4iIiIi8g4UpolbKm67I56jxOWC5bHt8mAGXK+rwv0d/7uC9VNrdUquAgTHtb6xM1B1190uB662FKQczpqqblvIFe6gwBQAxIZbC1M+ltcAAjx2WiIiIiMgOC1NErbScMeXM6/eMw9dni90+tiiKuHLlCnr27Gn3Afq6uB62q/0RkXPd+VLghgANKusa2xSm6htF1AuWWVTBOk8WpgIA1OLnshqPHZOIiIiIqDUWpohaKbNdkc/xjCkAGN4nDMP7hLl9bEEQcPasiIEDByhuKRERycsQYClm1zXYL+WzLuMDPNdjCgBie1jeIvxcVuuxYxIRERERtcbm50StlNmW8jmfMUVE5GsGraXoZG41Y8ra+FyvVUPrwavnWWZMsTBFRERERN7FwhRRK9alfBHBLEwRkf8wBFgKU3WN9oUpb/SXAiw9pgBwKR8REREReRULU0StXK35ORGRHJwt5bPOmPLkMj6guTBlNNWh3sGVAImIiIiIPIGFKaJW2tP8nIjI16wzpsytZkxZe0x5svE5AIQbNNBr1RAlwFhR59FjExERERFZsTBF1Ap7TBGRP9I39ZhqPWOq2jZjyrOFKZVKhT4RgQC4nI+IiIiIvIeFKaJW2nNVPiIiX2teyte6+bl3ekwBQO9wa2GKDdCJiIiIyDtYmCJqhUv5iMgf2Zqft5oxZV3KF+LhHlMAOGOKiIiIiLyOhSmiFhoFEZV1lg95kbwqHxH5EeczpiyvWUEe7jEFtCxMccYUEREREXkHC1NELZTXWvpLqVRAWCCX8hGR/zBYe0y1an5u7TEVwqV8RERERKRALEwRtVDetIwv1BAAjVolczZERM30TTOmzG2an1t7THl+KV9C04ypi1zKR0RERERewsIUUQvNV+TjbCki8i+2GVMNjmdMeaX5eVNhymiqQ32jeJVoIiIiIiL3ef5dLJEMiivNttlOnXGqwASAjc+JyP80Nz9vVZhqan4e7IUeUz2DdTAEqFHXIKKgohb9egZ7/D6IiIiIqHtjYYoU78iFMvwhYz8kyXPH5IwpIvI3zc3P7WcuVdmW8nl+SFepVOgTEYScoir8XMbCFBERERF5HgtTpHhHLpRCkgCdVu2R5r8BGhV+N6aPBzIjIvIcfYDj5uc1tubnnu8xBViuzGcpTLHPFBERERF5HgtTpHgFFXUAgD9P6o+lUwbLnA0RkXdYl/K1bn5e1VSYCvLCUj7AUpgCeGU+IiIiIvIONj8nxTM2FabiwgwyZ0JE5D0GbdNSvkYnPaa8sJQPAPpEBAFgYYqIiIiIvIOFKVK8yyxMEVE30Nz83H7GVE1TjylPLGV2pHnGFJfyEREREZHnsTBFimessHyLHxcWKHMmRETe07yUz37GVPNSPm/1mOKMKSIiIiLyHhamSNEaBBFFlWYAQCxnTBFRF9Z8Vb7mwlSjIMLcaJlB5e0ZU0ZTHeobxatEExERERG5h4UpUrSiSrPlinwaNXoG6+ROh4jIa2xL+VoUh6rrm4tU3uox1TNYh8AADSQJKKjgrCkiIiIi8iwWpkjRrMv4YsL0UKtVMmdDROQ9em3bGVPVTcv4AjQq6LTeGdJVKhWvzEdEREREXuOdr1c7ID09Hf/3f/+H06dPIzAwEBMnTsRzzz2HQYMGudzvgw8+wJNPPonz589j4MCBeO655/CrX/3KR1mT3C6XNzU+D2V/KSLq2pqbnwuQJAkqlcpWmPLWbCmrPhGBOFtUhbT3sz2yZDAsMABr7xyFxKhgD2RHRERERErmN4Wpffv2YcGCBbj++uvR2NiIxx9/HLfddhtOnjyJ4GDHb1z379+PWbNmIT09Hb/+9a+xbds2zJgxA0ePHsWwYcN8fAYkB6P1inzh7C9FRF2bQWspTIkS0CBI0GlVtsbnwTrvDuejEiLw1ZliFJrMKITZI8f89IQR8ycP8MixiIiIiEi5/KYwtWfPHrvbW7ZsQXR0NI4cOYKbbrrJ4T7r16/H7bffjkcffRQA8PTTT2Pv3r149dVXkZGR4fWcSX6Xm5bysfE5EXV1+oDmpXp1jQJ0WjVqmnpMeavxudXCXyRh8qBedssIO2rboXx8lH0ZV6o8U+AiIiIiImXzm8JUaxUVFQCAyMhIpzEHDhxAWlqa3bbU1FTs3LnT6T5msxlmc/ObYZPJBAAQBAGC0P433IIgQBRFt/bxJ0rOv2XuBeVNPaZ66BVxLkp+3AFl56/k3AHP5q/Ux6C702vVUKkASbIs5ws1BNhmTAXpNV69b41ahZEJ4R451n9+LrcUpqrrPXI8IiIiIlI2vyxMiaKIxYsXY9KkSS6X5BmNRsTExNhti4mJgdFodLpPeno6Vq5c2WZ7bm4uQkJC3MqxtLQUOTk5UKuV10Neyfm3zP18YbllY3UZzp71/w85Sn7cAWXnr+TcAc/mX1VV5aGsyJdUKhX0WjXqGkSYGyxX5rP2mPL2jClP6hmsBwCUcMYUEREREcFPC1MLFizAiRMn8M0333j82MuWLbObZWUymZCQkIABAwYgNDS03ccRBAE5OTlISkqCRuPdb6q9Qcn5t8y9zHwZADB6cH8M7BMmc2ZXp+THHVB2/krOHfBs/taZoqQ8hgCNpTDVaJn1Vt20lM/bPaY8qWeIDgBwpcr/v0wgIiIiIu/zu3eyCxcuxCeffIKvv/4affr0cRkbGxuLwsJCu22FhYWIjY11uo9er4der2+zXaPRuP1hT61Wd2g/f6Hk/NVqNUSoUNT0jXufyGDFnIeSH3dA2fkrOXfAc/kr9fzJ2gC9AXWtZkx5eymfJ0WFWMbgK9WcMUVEREREgN+sZ5EkCQsXLsSHH36IL7/8Ev3797/qPsnJycjMzLTbtnfvXiQnJ3srTfIjxZVmSBIQoFGhZ7BO7nSIiLzO0NQA3dqEXIlL+WyFqap6iKIkczZEREREJDe/eSe7YMECbNu2DR999BF69Ohh6xMVFhaGwMBAAMDs2bPRu3dvpKenAwAWLVqEm2++GWvWrMHUqVOxfft2HD58GG+88YZs50G+U1BRBwCICTVArVbJnA0RkfcZAiwzo5pnTDUt5VNQYSqy6YuERlGCqa4B4UH8YoGIiIioO/ObGVMbN25ERUUFJk+ejLi4ONvPe++9Z4vJz89HQUGB7fbEiROxbds2vPHGGxg5ciR27NiBnTt3umyYTl2H0WQpTMWHBcqcCRGRb+hthSn7GVPBOuUs5dNp1Qg1WAppJewzRURERNTt+c1XrJJ09en8WVlZbbbdcccduOOOO7yQEfk764yp2DCDzJkQEfmGQdu0lK+p+XlVfVNhSkEzpgDLcj5TXSOuVJmRFN3+K+ISERERUdfjNzOmiNxlbCpMxbEwRUTdhL7NUj5lFqZsV+ar5owpIiIiou6OhSlSLOtSPhamiKi7sM2YalrKV2PtMaVTWGEq2NoAnVfmIyIiIuruWJgixWpeysceU0TUPRha9Ziqss2YUk6PKaB5xhR7TBGRJ23YsAGJiYkwGAyYMGECDh065DK+vLwcCxYsQFxcHPR6Pa699lrs3r3bR9kSEZGVsr5iJWqBS/mIqLsxBFi+TzI3Ni3la+oxFaK4pXxNM6aqOWOKiDzjvffeQ1paGjIyMjBhwgSsW7cOqampOHPmDKKjo9vE19fX45e//CWio6OxY8cO9O7dGxcuXEB4eLjvkyci6uaU9U62GzltNCE21MDLaDshiBKKKi0faOLCWZgiou6h9YypautSPoUVpqKsPaY4Y4qIPGTt2rWYN28e5s6dCwDIyMjArl27sHnzZixdurRN/ObNm1FaWor9+/cjICAAAJCYmOjLlImIqAmX8vmhvJJq3L7u33jwn0fkTsVvldYKECUgQKNCVFOvEiLq+rr7Mg1rYco2Y8q6lE+xPaZYmCKizquvr8eRI0eQkpJi26ZWq5GSkoIDBw443Ofjjz9GcnIyFixYgJiYGAwbNgyrVq2CIAhO78dsNsNkMtn9EBFR57Ew5YfOFVcBAM4YK2XOxH8VV1s+jMWEGqBWq2TOhoh8wbpMY8WKFTh69ChGjhyJ1NRUFBUVOYy3LtM4f/48duzYgTNnzuDNN99E7969fZy557Rsfi6IEmobrDOmFNpjikv5iMgDSkpKIAgCYmJi7LbHxMTAaDQ63OfcuXPYsWMHBEHA7t278eSTT2LNmjV45plnnN5Peno6wsLCbD8JCQkePQ8iou5KWV+xdhPlNQ0AgLKaBtQ3itBpWT9sraSpMMX+UkTdhy+WaZjNZpjNzcUS67fhgiC4/Ba9NUEQIIqiW/u0h05rKcTX1jeisrZ5tlGgVuXR+/JW/lYRgZa3H1eq6j1+H97O3duUnD9zl48n81fqY+AuURQRHR2NN954AxqNBmPHjsWlS5fwwgsvYMWKFQ73WbZsGdLS0my3TSYTi1NERB7AwpQfKq9tsP13SZUZ8eG86lxrxTWWwhSvyEfUPViXaSxbtsy2zZ1lGh999BF69eqFu+66C4899hg0GsczjNLT07Fy5co223NzcxESEtLufEVRRGlpKXJycqBWe+7LhcqycgBAcWkFTpw+CwBQq4ALeblQqTw3e9Rb+VtVNvXGqqhtwMnTPyFAo5zcvU3J+TN3+Xgy/6qqKg9l5TtRUVHQaDQoLCy0215YWIjY2FiH+8TFxSEgIMBuPLjuuutgNBpRX18Pna5tn1e9Xg+9ni0kiIg8jYUpP1RR0/wteFElC1OOWGdMxXPGFFG34GqZxunTpx3uc+7cOXz55Ze4++67sXv3buTk5OChhx5CQ0OD29+GDxgwAKGhoe3OVxAE5OTkICkpyWkRrCP6lOUDuIIAQxCieycAuIAQvRbXXnutx+4D8F7+VqIoQau+gEZRQmRcX8R68LXc27l7m5LzZ+7y8WT+SuybpNPpMHbsWGRmZmLGjBkALMW6zMxMLFy40OE+kyZNwrZt2yCKoq2Y99NPPyEuLs5hUYqIiLyHhSk/1HLGVHEl+284Yu0x5ckPM0TUtXRkmYazb8M1Go3bH/bUanWH9nMlSGdZkmgWJNQ2SACAEL3WKx+kvZG/lUYDRAbrUFRpRlltI3pHevY+vJm7Lyg5f+YuH0/lr9TzT0tLw5w5czBu3DiMHz8e69atQ3V1tW359+zZs9G7d2+kp6cDAObPn49XX30VixYtwv/7f/8PZ8+exapVq/CXv/xFztMgIuqWWJjyQ2U1zYWposo6GTPxXyU17DFF1J34apmGv9MHNDc/r663vA4G6ZU5lPcM0aOo0owr1bwyHxF13syZM1FcXIzly5fDaDRi1KhR2LNnj22mbX5+vt0yx4SEBHz22Wd4+OGHMWLECPTu3RuLFi3CY489JtcpEBF1W8p8N9vFlbdcymfijClHmpufc5kjUXfAZRoWBq2lyGZuEFBttl6RT5lDeVTTlfmuVHGcIyLPWLhwodMxISsrq8225ORkfPfdd17OioiIrkZ53R27gYqWS/n4hr2NRkFEaa3lAxlnTBF1H2lpaXjzzTexdetWnDp1CvPnz2+zTKNlc/T58+ejtLQUixYtwk8//YRdu3Zh1apVWLBggVyn0GmGAEthqq5BRLXZUqAP0Stz2U3PYGthijOmiIiIiLozZX7N2sWVt1zKxxlTbRRX1UOUAK1ahagQXhmFqLvgMg3AYF3K19hiKZ9OmUN5z6bX75JqjnNERERE3Zky3812cS2X8nHGVFsFFbUAgJhQPdRqz11inIj8X3dfptE8Y0poMWNKmUN5zxDOmCIiIiIiLuXzO4IowVTXaLtdbGLz89aMFZZiHa/IR0TdjXXGlLlRRJWtx5Qyl/JFBVtmTLHHFBEREVH3xsKUnzG16C8FWGZMSZIkUzb+yTpjiv2liKi70WubZ0zVNM2YUmrzc9uMKV6Vj4iIiKhbY2HKz5Q1LeOzfiveIEh2PacIMDbNIosNZWGKiLqXls3Pq6yFKYX3mOJSPiIiIqLujYUpP1PeNGMqKkSPiKAAAEBRJZc5tMSlfETUXVm/tACav8hQ7IyppqvylXBmMBEREVG3xsKUn6lomh0VHhSAXj0s3yYXszBlx7qUL56FKSLqZqwzpoDmmUYhSu0x1TRjytIvq/Eq0URERETUVbEw5WfKay0fNMIDdYjuYSm8FFWyAXpLBaamGVNcykdE3UyARg1N09VIS5t6MwUpdClfoE6DYJ2lqMblfERERETdlzLfzXZh1n5SYUEB0GksdUNfzJh68+tz2LgvF4LomeUUOq0acWGGpp9AxIcb0MMQAFUnjyuh+fHgUj4i6o4MWjWq6wWUNF3NLkShS/kAS5+p6tIaXKk2IzEqWO50iIiIiEgGyn0320VZC1PhgQG2Dxu+6DH1z4MXbN++e0pxpRk//Fzh0WNaBaibl4EQEXUn+gANqusFmOqUfVU+wHJlvvzSGpRwxhQRERFRt6Xcd7NdVEVT8/OIIB3CfdT8vL5RxMXSGgDAjgeTEdHUkLYzausFFFTUoaCiFpfLLf9fbRY6fVwAgCRhWKRkW85CRNSdGLT2q/CDdMrsMQUAPYN5ZT4iIiKi7o6FKT9jvcqSffNz7/aYyi+tgSgBwToNxvaLgErlmYLPsN5hHjlOa4Ig4OzZs145NhGRv2vZAB1Q9lK+qBDLFyFXqniRDyIiIqLuis3P/Yytx1RgQIvm5959w55XUg0ASIwK9lhRioiIvEPfqjCl9KV8AHDFw0vJiYiIiEg5WJjyM+VNS/nCg3QtZkx5uzBVBQDoz8azRER+zxBgP3QH65W/lK+EM6aIiIiIui0WpvxMRYulfNGhljfslXWNqGvwUH8mB6wzpq5hYYqIyO8ZtM2FKLUKCAxQcGHKtpSPM6aIiIiIuiu/KUx9/fXXmDZtGuLj46FSqbBz506X8VlZWVCpVG1+jEajbxL2EtuMqcAA9NBroW9qcuvNWVPWwlT/XixMERH5u5YzpoJ1WkUvwbZeXfVKNWdMEREREXVXflOYqq6uxsiRI7Fhwwa39jtz5gwKCgpsP9HR0V7K0PtEUbJdlS88SAeVSmWbNVXkxQbotsJUVIjX7oOIiDyjZfNzJfeXAjhjioiIiIg8cFW+9PR0xMTE4M9//rPd9s2bN6O4uBiPPfZYu44zZcoUTJkyxe37j46ORnh4uNv7+aPKukZIkuW/wwIDAAC9QvS4WFqLIpN3vk2uNjeisOnY/XtyxhQRdV5aWlq7Y9euXevFTLqmloWpIAX3lwKae0yV1tRDECVo1Mqd/UVEREREHdPpwtTrr7+Obdu2tdk+dOhQ/PGPf2x3YaqjRo0aBbPZjGHDhuGpp57CpEmTXMabzWaYzc1FHpPJBAAQBAGC0P4+ToIgQBRFt/a5mpKqWgBAsE4DjUqCIAi2BuiFplqP3pc1/3PFlQCAyGAdQvRqj96Ht3jjsfcVJecOKDt/JecOeDZ/bz8Gx44ds7t99OhRNDY2YtCgQQCAn376CRqNBmPHjvVqHl1Vy6V8IQqfMRURFACVCpAkoKym3ra0j4iIiIi6j06/ozUajYiLi2uzvVevXigoKOjs4Z2Ki4tDRkYGxo0bB7PZjE2bNmHy5Mk4ePAgxowZ43S/9PR0rFy5ss323NxchIS0fymbKIooLS1FTk4O1GrPrIg8U2xZrhccoMLZs2cBADrBUqw6faEAZ3t6bqmDNf/jeZYr8sUGq2336e+88dj7ipJzB5Sdv5JzBzybf1VVlYeycuyrr76y/ffatWvRo0cPbN26FREREQCAsrIyzJ07FzfeeKNX8+iq9C2anwfrlF2Y0mrUiAzS4Up1PUqqzCxMEREREXVDnX5Hm5CQgG+//Rb9+/e32/7tt98iPj6+s4d3atCgQbZv3wFg4sSJyM3NxUsvvYS3337b6X7Lli2zW2ZiMpmQkJCAAQMGIDQ0tN33LwgCcnJykJSUBI3GM0spLkvFAC4hKjQQAwcOBAAk/awGTpsgBoTYtnmCNf+6GjWAYgzp09Ojx/cmbzz2vqLk3AFl56/k3AHP5m+dKeoLa9asweeff24rSgFAREQEnnnmGdx2223461//6rNcugr7HlPKey631jPEUphinykiIiKi7qnThal58+Zh8eLFaGhowC9+8QsAQGZmJpYsWeLzDxzjx4/HN9984zJGr9dDr2/7jaxGo3H7w55are7Qfs5Umi3La8KDdLZjxoYZAADFVWaPf5hWq9W4UGqZkXVNdIiiPqx7+rH3JSXnDig7fyXnDnguf1+ev8lkQnFxcZvtxcXFqKys9FkeXYn1aq2A8pufA9Y+U1UoqeKV+YiIiIi6o06/o3300Udx5coVPPTQQ6ivt3zbaTAY8Nhjj2HZsmWdTtAd2dnZDpcVKkV5jfWKfAG2bdYeU0WV3nnDbr0i3zVRbHxORJ7329/+FnPnzsWaNWswfvx4AMDBgwfx6KOP4ne/+53M2SlTV7oqH8Ar8xERERF1d51+R6tSqfDcc8/hySefxKlTpxAYaFmG5mhWkitVVVXIycmx3c7Ly0N2djYiIyPRt29fLFu2DJcuXcI//vEPAMC6devQv39/DB06FHV1ddi0aRO+/PJLfP755509Jdk0F6Z0tm3RPZpmTHmhMCVJkq0wlcjCFBF5QUZGBh555BHcddddaGiwvMZptVrcd999eOGFF2TOTplaNj8P1ilz9l9L1r5SV6o5Y4qIiIioO/LYV60hISG4/vrrO7z/4cOHccstt9huW/tAzZkzB1u2bEFBQQHy8/Ntv6+vr8df//pXXLp0CUFBQRgxYgS++OILu2MoTXmt5dvi8MC2M6ZKqswev5R2hVmEqa4RAJDYk4UpIvK8oKAgvPbaa3jhhReQm5sLABgwYACCg/ma01FdbsZUMGdMEREREXVnfvOOdvLkyZAkyenvt2zZYnd7yZIlWLJkiZez8i1HS/l6BuugUgGiBJRW19sKVZ5wqcLyIaB3eKDdBx0iIk8LDg7GiBEj5E6jS2g5YyqkKxSmQqxfwLAwRURERNQdKe+a6V1YeY11xlTzUj6tRm37Nrmoss6j93fJZCmE9ecyPiIixTBom79ICNJ1hcJU04wpLuUjIiIi6pZYmPIj5bWWQlFYixlTANDLS32mWJgiIlIe+6V8yp/tGsXm50RERETdGgtTfqTCupQv0L4wFe2lK/OxMEVEpDz6rraUL7ip+XkVZ0wRERERdUcsTPkR64ypllflA5oboHt6xtTP1sJULxamiIiUoss1P2+aMVVdL6C2XpA5GyIiIiLyNeW/o+0iRFGy9ZiKCHI8Y8qThSlRlHC5qTB1DWdMEREpRsseU8FdoMdUiF4LnVaN+kYRKWv3Qavp3NVnJQno20OFzQOSoFH+SkciIiKiLk/572i7iKr6RohNFyUMDWzdY8q6lM9zzc+NpjrUCxICNCr0Dg/02HGJiMi7Wl6Vryv0mFKpVBgWH4qj+eW4VF7rkWPmlwK5xVW4Lj7cI8cjIiIiIu9hYcpPWPtLBQZo7JZpAEC0F5qf55VUAwD6RgZBq+GKTiIipdC3GCO6Qo8pAHjn/v/CyYIKjxxr0fZs/FxWi7KmcZWIiIiI/FvXeEfbBZQ1LeMLb7WMD2g5Y8qThakaAEBizyCPHZOIiLzPoG3+MiGoixSmAnUajO0X6ZFjxYYaLIWpal7lj4iIiEgJusY72i6gvOmb3bDAtoUpb/SYyrtimTGVyP5SRESKEhGkw+i+4TBoNQjWKX8pn6dZ+zSW1rAwRURERKQELEz5ieYr8jmfMVVTL6DK3OiRpRvWpXz9e7IwRUSkJGq1Cv83fyIAS38mshcRbLnKX1k1l/IRERERKQGbC/mJCutSvkBdm98F67W2b8WLTJ5pgG5dytc/ikv5iIiURqVSsSjlRGTTFzxlnDFFREREpAgsTPkJ61K+iOC2M6YAIDrUcw3Q6xtF/FxmLUxxxhQREXUdthlTbH5OREREpAgsTPkJ61K+MAczpgCgV4jnGqBfLKuBKAEGrcrWv4qIiKgriAiyjKOlbH5OREREpAgsTPkJ64wpRz2mAKBXqOcaoOcVW/pL9Q4N4FIQIlKUDRs2IDExEQaDARMmTMChQ4fatd/27duhUqkwY8YM7yZIsuNSPiIiIiJlYfNzP1Fu6zHlpDDVNGPqhc/OYMNXOZ26r7oGAQDQJ9Tx7CwiIn/03nvvIS0tDRkZGZgwYQLWrVuH1NRUnDlzBtHR0U73O3/+PB555BHceOONPsyW5MKlfERERETKwsKUn3B1VT4AGNsvAlv2n0dtg4DapsJSZ42MC/TIcYiIfGHt2rWYN28e5s6dCwDIyMjArl27sHnzZixdutThPoIg4O6778bKlSvx73//G+Xl5S7vw2w2w2xunplqMplsxxGE9r/2CoIAURTd2sefKDn/UL3lYiFl1fWKzF/Jjz1zl48n81fqYwBYZtW+8MILMBqNGDlyJF555RWMHz/+qvtt374ds2bNwvTp07Fz507vJ0pERHZYmPIT1hlTznpMTRsZj7H9IlBlbvTI/ek1QG3JJY8ci4jI2+rr63HkyBEsW7bMtk2tViMlJQUHDhxwut/f/vY3REdH47777sO///3vq95Peno6Vq5c2WZ7bm4uQkJC2p2vKIooLS1FTk4O1GrlrZpXcv6mOssXPdX1An48dQY6rbLyV/Jjz9zl48n8q6qqPJSVb3FWLRGRcrEw5Scqal1flQ8A4sM9N8NJEAScLfHY4YiIvKqkpASCICAmJsZue0xMDE6fPu1wn2+++QZvvfUWsrOz230/y5YtQ1pamu22yWRCQkICBgwYgNDQ0HYfRxAE5OTkICkpCRqNpt37+Qsl59/Y2Ai1Kh+iBPSM74fYMIPcKblFyY89c5ePJ/O3zhRVGl/MqiUiIu9gYcoPSJLU3PzcyYwpIiJqv8rKStxzzz148803ERUV1e799Ho99Pq2VyvVaDRuf9hTq9Ud2s9fKDn/ML0GZXUCKuoE9I5UXv5KfuyZu3w8lb8Sz99Xs2qdLfcmIqLOYWHKD1TXC2gUJQDOe0wREXVnUVFR0Gg0KCwstNteWFiI2NjYNvG5ubk4f/48pk2bZtsmiiIAQKvV4syZMxgwYIB3kybZhBrUKKsTeGU+om7CV7NqnS33JiKizlHeIvouyNpfSq9VwxCgvG+piIi8TafTYezYscjMzLRtE0URmZmZSE5ObhM/ePBgHD9+HNnZ2baf3/zmN7jllluQnZ2NhIQEX6ZPPmZtgF5azcIUEbXV0Vm1y5YtQ0VFhe3n4sWLXsySiKj74IwpP2BbxsfZUkRETqWlpWHOnDkYN24cxo8fj3Xr1qG6utrWT2T27Nno3bs30tPTYTAYMGzYMLv9w8PDAaDNdup6wgxNV+bjjCmibsFXs2qdLfcmIqLOYWHKD7C/FBHR1c2cORPFxcVYvnw5jEYjRo0ahT179tiWbuTn5yvyalrkeZwxRdS9tJxVO2PGDADNs2oXLlzYJt46q7alJ554ApWVlVi/fj1n1RIR+RgLU36gvNbyxjmMM6aIiFxauHChww8ZAJCVleVy3y1btng+IfJLoQZLgbKMhSmiboOzaomIlIuFKT9gnTEVwcIUERFRp4VZZ0w1ja9E1PVxVi0RkXKxMOUHKmq5lI+IiMhTQq09pjhjiqhb4axaIiJl4tcGfsB6VT42PyciIuq8MPaYIiIiIlIMFqb8gHUpH3tMERERdZ6txxSvykdERETk91iY8gNlvCofERGRx7S8Kp8kSTJnQ0RERESu+E1h6uuvv8a0adMQHx8PlUqFnTt3XnWfrKwsjBkzBnq9HklJSYpdG15Ry6V8REREnhLW1GPK3CiitkGQORsiIiIicsVvClPV1dUYOXIkNmzY0K74vLw8TJ06Fbfccguys7OxePFi3H///fjss8+8nKnnldtmTLEwRURE1FkGrQo6reUtDvtMEREREfk3v7kq35QpUzBlypR2x2dkZKB///5Ys2YNAOC6667DN998g5deegmpqaneStNm+/cXcdlYgegr+VCrVZ06ltFUBwAID+JSPiIios5SqVSIDAqA0WRGWXUD+kTInREREREROeM3hSl3HThwACkpKXbbUlNTsXjxYpf7mc1mmM1m222TyQQAEAQBgtD+6f6rPj2NarMAoKTd+1xNeKDGrRw6QxAEiKLos/vzJOYuHyXnr+TcAc/mr9THgMgdEUE6GE1mlLIBOhEREZFfU2xhymg0IiYmxm5bTEwMTCYTamtrERgY6HC/9PR0rFy5ss323NxchISEtPv+J/QORFVtHXQ6HYDOzZgCgEG99DAVXoSpsNOHahdRFFFaWoqcnByo1X6zorNdmLt8lJy/knMHPJt/VVWVh7Ii8l8RwZZZyOUsTBERERH5NcUWpjpq2bJlSEtLs902mUxISEjAgAEDEBoa2u7jZFxzDXJycpCUlASNRuONVL1KEATF5s/c5aPk/JWcO+DZ/K0zRYm6MusFRdhjioiIiMi/KbYwFRsbi8JC++lFhYWFCA0NdTpbCgD0ej30en2b7RqNxu0Pe2q1ukP7+Qsl58/c5aPk/JWcO+C5/JV6/kTuiGzq21jGwhQRERGRX1PeepYmycnJyMzMtNu2d+9eJCcny5QRERER+YsI64wpLuUjIiIi8mt+U5iqqqpCdnY2srOzAQB5eXnIzs5Gfn4+AMsSvNmzZ9viH3zwQZw7dw5LlizB6dOn8dprr+H999/Hww8/LEf6RERE5EesPabKqhtkzoSIiIiIXPGbpXyHDx/GLbfcYrtt7QM1Z84cbNmyBQUFBbYiFQD0798fu3btwsMPP4z169ejT58+2LRpE1JTU32eOxERdXHV1YCjJZAaDWAw2McBgCBAVVNjv59aDbRcam6NdaR1bE0NIEmOY1UqICioY7G1tYAoto2z5t+Ss1ir4ODm/66rA1xd/dGd2KAgS94AYDYDjY2uY5v01IoIrK9DdWmF48c6MNDyOANAfT3Q4KKA5U6swdD8b+5ObEODJd7RcwcA9HpAq7WPdaZlbGOj5XFzRqcDAgJssZUVVXhp708oq2mbd6NWC1FriVWJAgJa5SBJEqqqKhHybQnEgAAI2gCoAFzbMwgT4oMwMiEchgAHf0cBAZY8AMtzrLbWeb7uxGq1lsfCkpzlb8MZVYsL2Vwt1tnffWdjO/ka4fB5A7j/GkFERORjflOYmjx5MiRngySALVu2ONzn2LFjXsyKiIgIQHy84+2/+hWwa1fz7ehooKYGGgCDWsfefDOQldV8OzERKClxfNxx44Dvv2++PWQIcOGC49ghQ4Aff2y+ff31wMmTjmP79QPOn2++fdNNwOHDbcI0AAZERADFxc0bp0wB9u1zfNygIPsP0b//PbB7t+NYwP5D8T33ADt2OI+tqmouZP33fwNbtzqPLSoCIiMBAONeeRantm2xbP+Lg9i8PMu/AQD8z/8AL77o/LgnTgBDh1r+e9UqwMHVfW0OHbL8GwDA+vXAkiXOY7/6Cpg82fLfb7wBLFzo+LkDAJ98Akydavnvd94B5s51ftz33wfuuMPy3x9+CNx5p/PYv/8duPdey39/9hl6/PrXWO4k9MlfPoi3x/waAPBf+T9g+7uPOz3sqslz8caE3wMARhT8hL/8I81p7IE/LcCBe/4fAKDn+bOY89/TnMYe/sOf8fU8y2MaavwZ989JcRp77Nez8MVCy9kElpdi4R8nOY09mTID78x9BBF5EvT1tVg8Y6zT2DM3pOLjJ9bZbj96+3VOY3Ovvwn/9/TrttuLpo+Bzuy4mJY//Hq898I/bLcXzJyIoIoyh7EFA4fhn698YLv9wOxbMajosuMk3H2N+OEHJ2dDRETkHX5TmCIiIiLyFL2WTf7dda64Cte4+P3U4XFI+o2lQBdztBJ413nsbUNi0Ps3Q1HfKKL8a8fFFauDeaV4+cscAMDA4nzMcRF7JL/cFtunohD3u4g9fsmEDV/lAgAiayqw0EXsGWMltv9QDqAcgfV1WOwiNqe4ynZcAHjUReyFKzV2sQtEETonsZfLa+1i/1wvIMhJbFGl2S52Vl0jwlzkQURE5M9UkqtpSt2AyWRCWFgYKioqEBoa2u79BEHA2bNnMXDgQEVe4UrJ+TN3+Sg5fyXnDng2/46+7nVHtsfq8mXHj5WTZTqCICAnJwdJSUnN/14KWspny3/kyOb8FbKUTxBFnD17FsGhvXDbi1kI0KjwnxW3QdV6iZIHl/IVmerQq4fech+dXMrn8LkDeH0pnyBK+O3LWTibX4rpI+Ox+g8jnMYCsPyb1dXZ/doud4OhecmdIECqrUX+lRocvlCG00aT3Sx5URMAIcC6RFCEtt7+uC05im35b9vyn1nUaCEENOUgSQhwMlMJAAS1BleqahAeEQ4V4DJWVGsg6Jqv8BxQ53zZnzuxkkqNRr2hQ7HauhpUlJUjLDzM7vGYkNgTtw6Ndes1wtTYyDGinTieElF3463XPc6YIiIiuprgYPtiiqs4wPJBPCjIcttZIbE9x7MKcjZvopOxLYtfLVnzb0+sIy2LdZ6M1eubewZdRURED9TqDKgFUKXVo4chwHmwTtdcRLmaVrGf/HAZC7cdw//86jrMu+kal7EuBQRYftrz3LHGtodW21ykcuGf313AD8YahIaG4K+/GwMEX+Vx1mjaPoed5a7RQBUSgn4hIejXL7p9eftYt/ry4mqvESaT5xIjIiJqB7+5Kh8RERGRpwTqNAhsarTtzSvzff5jIQBg26F8l70y/VlRZR1e/OwMAODR2wejV4/2Ff+IiIiIPIGFKSIiIuqSIoMts5VKa1wse+uk45cqAAB5JdU4W1TltfvxplW7TqHS3IgRfcJw1/i+cqdDRERE3QwLU0RERNQlRQRblruVVXunMFVR24C8kuZeYZ+dMHrlfrxpf04JdmZfhkoFPDNjGDRq1dV3IiIiIvIg9pgiIiKiLikiqGnGlJcKUyeaZktZ7fnRiP9360Cv3JeVKEpY+O5RHD7v+kp37WWqsyxzvOe/+mFEn3CPHJOIiIjIHSxMERERUZdkXcpX5qWlfP/5uRwAkHxNTxzMu4IfL5twsbQGCZFuNKB305eni7D7uGdnZsWGGvDX2wZ59JhERERE7cXCFBEREXVJ3p4xdfxny4ypyYN6QYKE786V4rMfjbj/xmuusmfHbfrmHADg7gl9cdcEz/SDSogMQqirqxYSEREReRELU0RERNQleXvG1A9NhakRfcKh06rx3blSfP5jodcKUycuVeC7c6XQqlVY+IskxIUFeuV+iIiIiHyJzc+JiIioS4oI9t6MqStVZlwqr4VKBQzrHYrbhsYCAL6/UIriSrPH7w8ANv3bMlvq1yPiWJQiIiKiLoOFKSIiIuqSIpuW8pVVN3j82D80NT6/JioYPQwB6B0eiBF9wiBJwBenCj1+fwUVtfjkhwIAwH03eG+pIBEREZGvsTBFREREXVJEsKVvUqkXlvL9cLF5GZ9VatOsqc9+9GxzcgDYsv88GkUJE/pHYnifMI8fn4iIiEguLEwRERFRlxRhmzHl+cLU8UvlAIDhvZuLRNbC1Lc5JTDVeW6WVrW5EdsO5gMA5nmxsToRERGRHFiYIiIioi6pZfNzUZQ8dlxJkvCfpsbnIxOaC1NJ0SEY0CsYDYKEr04Xeez+3j98EZV1jegfFYxfDI722HGJiIiI/AELU0RERNQlhQdZlvKJEjw6g6nQZEZxpRlqFTAkzn5ZnXXW1Oc/eqbPlCBK2PxtHgDgzzf0h1qt8shxiYiIiPyFVu4EiIiIiLxBr9UgRK9FlbkRpdX1CG9a2tdZP/xcDgC4NqYHAnUau9/dPiwWr2Xl4qszRfjqTBHUKvcKSaIo4NKlGhSgGGq1Bicvm3CxtBbhQQH4w5g+HsmfiIiIyJ+wMEVERERdVkRwAKrMjSjzYAP0H362Nj5v24R8eO8wxIcZcLmiDnP//n0n7qXA7tafJvRrUwQjIiIi6gpYmCIiIqIuKzJIh4ultSit9txSvh8uWQpTw1tckc9KpVJh2a+uw5v/PgehI32tJKDOXAeD3gA0Tbbq1UOP+27o34mMiYiIiPwXC1NERETUZUUEe/bKfJIk2ZbyjXQwYwoApo2Mx7SR8R06viAIOHv2LAYOHAiNhjOkiIiIqOtj83MiIiLqsiKb+kqVemgp389ltSivaUCARoVBsT08ckwiIiKi7oyFKSIiUowNGzYgMTERBoMBEyZMwKFDh5zGvvnmm7jxxhsRERGBiIgIpKSkuIynrsk2Y8pDhSlrf6nBsaHQazmjiYiIiKizWJgiIiJFeO+995CWloYVK1bg6NGjGDlyJFJTU1FUVOQwPisrC7NmzcJXX32FAwcOICEhAbfddhsuXbrk48xJTpEeXspnXcbnqPE5EREREbmPhSkiIlKEtWvXYt68eZg7dy6GDBmCjIwMBAUFYfPmzQ7j33nnHTz00EMYNWoUBg8ejE2bNkEURWRmZvo4c5JThHUpn4ean7u6Ih8RERERuY/Nz4mIyO/V19fjyJEjWLZsmW2bWq1GSkoKDhw40K5j1NTUoKGhAZGRkU5jzGYzzGaz7bbJZAJgaUgtCEK78xUEAaIourWPP1Fy/q1zDw+0LLcrqapDZa3Z1a5XJUnA8aYr8g2LD/XK49OVHnslUXLugGfzV+pjQEREysXCFBER+b2SkhIIgoCYmBi77TExMTh9+nS7jvHYY48hPj4eKSkpTmPS09OxcuXKNttzc3MREhLS7nxFUURpaSlycnKgVitvcrKS82+de3VpLQAg+2IFhq/8wiP3odOogIoCnK00euR4LXWlx15JlJw74Nn8q6qqPJQVERFR+7AwRUREXd7q1auxfft2ZGVlwWAwOI1btmwZ0tLSbLdNJhMSEhIwYMAAhIaGtvv+BEFATk4OkpKSoNEor0G2kvNvnXtsQgPivyvF5fI6j93HjFG9MXjQtR47Xktd6bFXEiXnDng2f+tMUSIiIl9hYYqIiPxeVFQUNBoNCgsL7bYXFhYiNjbW5b4vvvgiVq9ejS+++AIjRoxwGavX66HX69ts12g0bn/YU6vVHdrPXyg5/5a5hwdr8O8lv4C50TPLk1RQIVDn3cekqzz2SqPk3AHP5a/U8yciIuVS3lxlIiLqdnQ6HcaOHWvXuNzayDw5Odnpfs8//zyefvpp7NmzB+PGjfNFquSHNGoVgnRaj/x4uyhFRB23YcMGJCYmwmAwYMKECTh06JDT2DfffBM33ngjIiIiEBERgZSUFJfxRETkPX5XmHJnQNmyZQtUKpXdj6slGkREpFxpaWl48803sXXrVpw6dQrz589HdXU15s6dCwCYPXu2XXP05557Dk8++SQ2b96MxMREGI1GGI1G9k8hIuqC3nvvPaSlpWHFihU4evQoRo4cidTUVBQVFTmMz8rKwqxZs/DVV1/hwIEDSEhIwG233YZLly75OHMiIvKrwpS7AwoAhIaGoqCgwPZz4cIFH2ZMRES+MnPmTLz44otYvnw5Ro0ahezsbOzZs8fWED0/Px8FBQW2+I0bN6K+vh5/+MMfEBcXZ/t58cUX5ToFIiLykrVr12LevHmYO3cuhgwZgoyMDAQFBWHz5s0O49955x089NBDGDVqFAYPHoxNmzbZZuISEZFv+VWPqZYDCgBkZGRg165d2Lx5M5YuYWZEtAAAI1BJREFUXepwH5VKddX+IkRE1DUsXLgQCxcudPi7rKwsu9vnz5/3fkJERCS7+vp6HDlyxG7WrFqtRkpKCg4cONCuY9TU1KChoQGRkZFOY8xmM8xms+02G8UTEXmG3xSmOjqgVFVVoV+/fhBFEWPGjMGqVaswdOhQp/HOBhRBECAI7W+MKggCRFF0ax9/ouT8mbt8lJy/knMHPJu/Uh8DIiIiR0pKSiAIgm0GrVVMTAxOnz7drmM89thjiI+PR0pKitOY9PR0rFy5slO5EhFRW35TmOrIgDJo0CBs3rwZI0aMQEVFBV588UVMnDgRP/74I/r06eNwH2cDSm5uLkJCQtqdryiKKC0tRU5ODtRqv1oR2S5Kzp+5y0fJ+Ss5d8Cz+bPHEhERUbPVq1dj+/btyMrKctmvdtmyZUhLS7PdNplMSEhI8EWKRERdmt8UpjoiOTnZ7mpMEydOxHXXXYfXX38dTz/9tMN9nA0oAwYMQGhoaLvvWxAE5OTkICkpSZGX1VVy/sxdPkrOX8m5A57Nn0sPiIioK4mKioJGo0FhYaHd9sLCwqu2/HjxxRexevVqfPHFFxgxYoTLWL1eD71e3+l8iYjInt8UpjozoFgFBARg9OjRyMnJcRrjbEDRaDRuf9hTq9Ud2s9fKDl/5i4fJeev5NwBz+Wv1PMnIiJyRKfTYezYscjMzMSMGTMAwNbI3FlfQgB4/vnn8eyzz+Kzzz7DuHHjfJQtERG15jfrWVoOKFbWAaXlrChXBEHA8ePHERcX5600iYiIiIjIz6SlpeHNN9/E1q1bcerUKcyfPx/V1dW2iyrNnj3brpftc889hyeffBKbN29GYmIijEYjjEYjl7sTEcnAb2ZMAZYBZc6cORg3bhzGjx+PdevWtRlQevfujfT0dADA3/72N/zXf/0XkpKSUF5ejhdeeAEXLlzA/fffL+dpEBERERGRD82cORPFxcVYvnw5jEYjRo0ahT179tj61+bn59v1aNy4cSPq6+vxhz/8we44K1aswFNPPeXL1ImIuj2/Kky5O6CUlZVh3rx5MBqNiIiIwNixY7F//34MGTJErlMgIiIiIiIZLFy40OnSvaysLLvb58+f935CRETULn5VmALcG1BeeuklvPTSSz7IioiIiIiIiIiIPM1vekwREREREREREVH3wsIUERERERERERHJgoUpIiIiIiIiIiKSBQtTREREREREREQkCxamiIiIiIiIiIhIFixMERERERERERGRLFiYIiIiIiIiIiIiWbAwRUREREREREREsmBhioiIiIiIiIiIZMHCFBERERERERERyYKFKSIiIiIiIiIikgULU0REREREREREJAsWpoiIiIiIiIiISBYsTBERERERERERkSxYmCIiIiIiIiIiIlmwMEVERERERERERLJgYYqIiIiIiIiIiGTBwhQREREREREREcmChSkiIiIiIiIiIpIFC1NERERERERERCQLFqaIiIiIiIiIiEgWLEwREREREREREZEsWJgiIiIiIiIiIiJZsDBFRERERERERESyYGGKiIiIiIiIiIhkwcIUERERERERERHJgoUpIiIiIiIiIiKSBQtTREREREREREQkCxamiIiIiIiIiIhIFn5XmNqwYQMSExNhMBgwYcIEHDp0yGX8Bx98gMGDB8NgMGD48OHYvXu3jzIlIiJf4xhBRERERNS1+FVh6r333kNaWhpWrFiBo0ePYuTIkUhNTUVRUZHD+P3792PWrFm47777cOzYMcyYMQMzZszAiRMnfJw5ERF5G8cIIiIiIqKuRyt3Ai2tXbsW8+bNw9y5cwEAGRkZ2LVrFzZv3oylS5e2iV+/fj1uv/12PProowCAp59+Gnv37sWrr76KjIwMt+67vr4e9fX1bbar1WpotVq7OAAQBMG2j0ajAQCoVCoEBAS0iXWkdWxDQwMkSfJZrDX/llwdFwB0Op3tvxsbGyGKokdiAwICoFKp2h3b8riCILTruIIgeCxWq9VCrVZ3KNb6nGn5vOnscUVRRGNjo9NYjUZju6/OxrY8B51O16HjSpKEhoYGj8S2/Pu8WmzL57Y7xwVc/y27E9vZ1whnzx13XyOUimMEx4iuPkZYfxz9rXOMcD+WY4Tz2K44RhARkXL5TWGqvr4eR44cwbJly2zb1Go1UlJScODAAYf7HDhwAGlpaXbbUlNTsXPnTqf3YzabYTabbbdNJhMA4IUXXoBer28TP3DgQNx11122288995xtQC8tLUVkZKRtEE9MTMScOXNssWvXrkVNTY3DPOLj4zFv3jzb7VdeeQXl5eUOY3v16oWHHnrIdjsjIwPFxcUOY8PDw7Fo0SLb7bfeeguXL19uEydJEmpqapCenm7b9vbbb+P8+fMOjxsQEIDHH3/cdvvdd9/F2bNnHcYCwIoVK2z/vWPHDpw8edJp7LJly2wfUj7++GNkZ2c7jX3kkUdgMBggiiI+/fRTHD161GnsokWLEB4eDgD4/PPPnT6PAGD+/PmIjo4GAGRlZWHfvn1OY++//3707t0bAPDtt9/iiy++cBo7Z84cJCYmAgAOHTqE3bt3t3neWM2aNQvXXnstACA7OxsfffSR0+P+4Q9/wNChQwEAP/74I3bs2OE0dvr06Rg1ahQA4KeffsK7777rNHbKlCkYP348AOD8+fPYunWr3e9bPu9/+ctfYtKkSQCAS5cuYdOmTU6Pe/PNN2Py5MkAgKKiImzcuNFpbHJyMm677TYAQHl5OdavX+80dty4cZg6dSoAoLq6Gi+++KLT2OHDh2Po0KG2D04tn/utDRkyBHfccYft9jPPPOM01tlrhCOdeY149dVXkZeX5/C54+5rhLWwoyQcIzhGAF1/jPj0008dPncAjhFWHCMsOEYQEVFX4jeFqZKSEgiCgJiYGLvtMTExOH36tMN9jEajw3ij0ej0ftLT07Fy5co228vKyuy+wW15Hy3fXF+5cgWNjY2QJAm1tbUoLS21vQEIDAy0iy0pKUFdXZ3DPLRarV1scXExKisrHcZKkmQXW1RUhLKyMoexDQ0NbWJLS0sdHlMUReTk5Ni+VS0sLHQY6yhfo9HoNBaAXWxBQcFVY62P/eXLl13G5uTkwGAwoLS09KrHzc3NRWhoaLuOe+7cOVRUVACwvIF2FZuXl2d7o/jzzz+7jD1//rztDejFixdRWlra5nnTMta6LT8/3+VxL1y4YHvMLly44DI2Pz8fwcHBtvtwFXvx4kVEREQAcPw4tHze//zzz7Z/Z1fPHeuxrLFXrlxxGXv58mVbrMlkandsTU2Ny1ij0Yi4uDjk5OSgsbHRZWxBQYHdc/hqx3X0GuFIZ14jSkpKnD533H2NyM3NdXo+/opjBMcIoHuMEY6eO9ZYjhEcI6w4RhARUVeiklzNy/ehy5cvo3fv3ti/fz+Sk5Nt25csWYJ9+/bh4MGDbfbR6XTYunUrZs2aZdv22muvYeXKlSgsLHR4P46+DU9ISIDRaLS9QW3J1TKNnJwcJCUlKXaZRk5ODoYMGWLLXynLNKwflhITE11OOffHZRr19fVtnjedPa6vl2lY81fiMo3z588jKSkJarVaccs06urqcPbsWYfPHXdfI2praxEZGYmKigqHr3v+iGMEx4j2xip5jLD+OBonOEa4H8sxwnFsVxwj5GIymRAWFsbHioi6DW+97vnNjKmoqChoNJo2HxYKCwsRGxvrcJ/Y2Fi34gFAr9c7XI4RGBiIwMDAq+ZpjREEAQaDAYGBgW3eALSObQ9nx/BWrDX/lm/wfJ1DR2MFQYBarYZer2/3sf3l3DQazVWfNx05bss3nN6Mdfa8d+e4AOzepPsq1vq8sf47uHNcd/6WvRVrMBja9dwBrv78cfVhx19xjOAY0d5YJY8RQPueOxwjPB/LMaKZEscIIiJSNr+5Kp9Op8PYsWORmZlp2yaKIjIzM+2+HW8pOTnZLh4A9u7d6zSeiIiUiWMEEREREVHX5DczpgAgLS0Nc+bMwbhx4zB+/HisW7cO1dXVtiaMs2fPRu/evW0NKRctWoSbb74Za9aswdSpU7F9+3YcPnwYb7zxhpynQUREXsAxgoiIiIio6/GrwtTMmTNRXFyM5cuXw2g0YtSoUdizZ4+teW1+fr6tZwIATJw4Edu2bcMTTzyBxx9/HAMHDsTOnTsxbNgwuU6BiIi8hGMEEREREVHX41eFKQBYuHAhFi5c6PB3WVlZbbbdcccddpfsJSKirotjBBERERFR1+I3PaaIiIiIiIiIiKh7YWGKiIiIiIgUb8OGDUhMTITBYMCECRNw6NAhl/EffPABBg8eDIPBgOHDh2P37t0+ypSIiFpiYYqIiIiIiBTtvffeQ1paGlasWIGjR49i5MiRSE1NRVFRkcP4/fv3Y9asWbjvvvtw7NgxzJgxAzNmzMCJEyd8nDkREbEwRUREREREirZ27VrMmzcPc+fOxZAhQ5CRkYGgoCBs3rzZYfz69etx++2349FHH8V1112Hp59+GmPGjMGrr77q48yJiMjvmp/7miRJAACTyeTWfoIgoKqqCiaTCRqNxhupeZWS82fu8lFy/krOHfBs/tbXO+vrHznHMUJ5+Ss5d0DZ+TN3+XT3MaK+vh5HjhzBsmXLbNvUajVSUlJw4MABh/scOHAAaWlpdttSU1Oxc+dOp/djNpthNptttysqKgC4P0YQESmVt8aIbl+YqqysBAAkJCTInAkRkW9VVlYiLCxM7jT8GscIIuqulDRGlJSUQBAExMTE2G2PiYnB6dOnHe5jNBodxhuNRqf3k56ejpUrV7bZzjGCiLqbK1eueHSM6PaFqfj4eFy8eBE9evSASqVq934mkwkJCQm4ePEiQkNDvZihdyg5f+YuHyXnr+TcAc/mL0kSKisrER8f76Hsui6OEcrLX8m5A8rOn7nLh2OEbyxbtsxullV5eTn69euH/Px8xRTxPEnpfzed0Z3PHeD5d+fzr6ioQN++fREZGenR43b7wpRarUafPn06vH9oaKiin4xKzp+5y0fJ+Ss5d8Bz+XfHN9AdwTFCufkrOXdA2fkzd/l01zEiKioKGo0GhYWFdtsLCwsRGxvrcJ/Y2Fi34gFAr9dDr9e32R4WFqbo501nKf3vpjO687kDPP/ufP5qtWfblbP5ORERERERKZZOp8PYsWORmZlp2yaKIjIzM5GcnOxwn+TkZLt4ANi7d6/TeCIi8p5uP2OKiIiIiIiULS0tDXPmzMG4ceMwfvx4rFu3DtXV1Zg7dy4AYPbs2ejduzfS09MBAIsWLcLNN9+MNWvWYOrUqdi+fTsOHz6MN954Q87TICLqlliY6iC9Xo8VK1Y4nM6rBErOn7nLR8n5Kzl3QPn5dzdK//dScv5Kzh1Qdv7MXT5Kz98TZs6cieLiYixfvhxGoxGjRo3Cnj17bA3O8/Pz7ZaeTJw4Edu2bcMTTzyBxx9/HAMHDsTOnTsxbNiwdt9nd3/cu/P5d+dzB3j+3fn8vXXuKklJ14IlIiIiIiIiIqIugz2miIiIiIiIiIhIFixMERERERERERGRLFiYIiIiIiIiIiIiWbAwRUREREREREREsmBhqoM2bNiAxMREGAwGTJgwAYcOHZI7pTa+/vprTJs2DfHx8VCpVNi5c6fd7yVJwvLlyxEXF4fAwECkpKTg7Nmz8iTbSnp6Oq6//nr06NED0dHRmDFjBs6cOWMXU1dXhwULFqBnz54ICQnB73//exQWFsqUsb2NGzdixIgRCA0NRWhoKJKTk/Hpp5/afu/Pube2evVqqFQqLF682LbNX/N/6qmnoFKp7H4GDx5s+72/5t3SpUuX8Kc//Qk9e/ZEYGAghg8fjsOHD9t+789/t9SMY4R3cYzwH0oaIwDljxMcI3zP3dfzDz74AIMHD4bBYMDw4cOxe/duH2XqHe6c/5tvvokbb7wRERERiIiIQEpKil+Of+3V0bF8+/btUKlUmDFjhncT9DJ3z7+8vBwLFixAXFwc9Ho9rr32WsU+/90993Xr1mHQoEEIDAxEQkICHn74YdTV1fkoW8+62vtDR7KysjBmzBjo9XokJSVhy5Yt7t+xRG7bvn27pNPppM2bN0s//vijNG/ePCk8PFwqLCyUOzU7u3fvlv7nf/5H+r//+z8JgPThhx/a/X716tVSWFiYtHPnTuk///mP9Jvf/Ebq37+/VFtbK0/CLaSmpkp///vfpRMnTkjZ2dnSr371K6lv375SVVWVLebBBx+UEhISpMzMTOnw4cPSf/3Xf0kTJ06UMetmH3/8sbRr1y7pp59+ks6cOSM9/vjjUkBAgHTixAlJkvw795YOHTokJSYmSiNGjJAWLVpk2+6v+a9YsUIaOnSoVFBQYPspLi62/d5f87YqLS2V+vXrJ917773SwYMHpXPnzkmfffaZlJOTY4vx579bsuAY4X0cI/yD0sYISVL2OMExwvfcfT3/9ttvJY1GIz3//PPSyZMnpSeeeEIKCAiQjh8/7uPMPcPd87/rrrukDRs2SMeOHZNOnTol3XvvvVJYWJj0888/+zjzzuvoWJ6Xlyf17t1buvHGG6Xp06f7JlkvcPf8zWazNG7cOOlXv/qV9M0330h5eXlSVlaWlJ2d7ePMO8/dc3/nnXckvV4vvfPOO1JeXp702WefSXFxcdLDDz/s48w942rvD1s7d+6cFBQUJKWlpUknT56UXnnlFUmj0Uh79uxx635ZmOqA8ePHSwsWLLDdFgRBio+Pl9LT02XMyrXWTypRFKXY2FjphRdesG0rLy+X9Hq99O6778qQoWtFRUUSAGnfvn2SJFlyDQgIkD744ANbzKlTpyQA0oEDB+RK06WIiAhp06ZNism9srJSGjhwoLR3717p5ptvtn3o8Of8V6xYIY0cOdLh7/w5b6vHHntMuuGGG5z+Xml/t90Vxwjf4xjhe0ocIyRJ2eMExwjfc/f1/M4775SmTp1qt23ChAnSf//3f3s1T2/p7HjW2Ngo9ejRQ9q6dau3UvSajpx7Y2OjNHHiRGnTpk3SnDlzFF2Ycvf8N27cKF1zzTVSfX29r1L0GnfPfcGCBdIvfvELu21paWnSpEmTvJqnL7SnMLVkyRJp6NChdttmzpwppaamunVfXMrnpvr6ehw5cgQpKSm2bWq1GikpKThw4ICMmbknLy8PRqPR7jzCwsIwYcIEvzyPiooKAEBkZCQA4MiRI2hoaLDLf/Dgwejbt6/f5S8IArZv347q6mokJycrJvcFCxZg6tSpdnkC/v/Ynz17FvHx8bjmmmtw9913Iz8/H4D/5w0AH3/8McaNG4c77rgD0dHRGD16NN58803b75X2d9sdcYyQB8cI31PqGAEod5zgGOFbHXk9P3DgQJu/idTUVEU+/p4Yz2pqatDQ0GB7bVaKjp773/72N0RHR+O+++7zRZpe05Hz//jjj5GcnIwFCxYgJiYGw4YNw6pVqyAIgq/S9oiOnPvEiRNx5MgR23K/c+fOYffu3fjVr37lk5zl5qnXPa0nk+oOSkpKIAgCYmJi7LbHxMTg9OnTMmXlPqPRCAAOz8P6O38hiiIWL16MSZMmYdiwYQAs+et0OoSHh9vF+lP+x48fR3JyMurq6hASEoIPP/wQQ4YMQXZ2tt/nvn37dhw9ehTff/99m9/582M/YcIEbNmyBYMGDUJBQQFWrlyJG2+8ESdOnPDrvK3OnTuHjRs3Ii0tDY8//ji+//57/OUvf4FOp8OcOXMU9XfbXXGM8D2OEb6n1DECUPY4wTHCtzryem40GrvM4++J8eyxxx5DfHx8mw+t/q4j5/7NN9/grbfeQnZ2tg8y9K6OnP+5c+fw5Zdf4u6778bu3buRk5ODhx56CA0NDVixYoUv0vaIjpz7XXfdhZKSEtxwww2QJAmNjY148MEH8fjjj/siZdk5e90zmUyora1FYGBgu47DwhT5vQULFuDEiRP45ptv5E7FLYMGDUJ2djYqKiqwY8cOzJkzB/v27ZM7rau6ePEiFi1ahL1798JgMMidjlumTJli++8RI0ZgwoQJ6NevH95///12vyjKSRRFjBs3DqtWrQIAjB49GidOnEBGRgbmzJkjc3ZE/oljhG8peYwAlD1OcIwgJVm9ejW2b9+OrKwsRb5WuKOyshL33HMP3nzzTURFRcmdjixEUUR0dDTeeOMNaDQajB07FpcuXcILL7ygqMJUR2RlZWHVqlV47bXXMGHCBOTk5GDRokV4+umn8eSTT8qdnmJwKZ+boqKioNFo2lyhpbCwELGxsTJl5T5rrv5+HgsXLsQnn3yCr776Cn369LFtj42NRX19PcrLy+3i/Sl/nU6HpKQkjB07Funp6Rg5ciTWr1/v97kfOXIERUVFGDNmDLRaLbRaLfbt24eXX34ZWq0WMTExfp1/S+Hh4bj22muRk5Pj9487AMTFxWHIkCF226677jrbMhOl/N12ZxwjfItjhO91pTECUNY4wTHCtzryeh4bG9tlHv/OjGcvvvgiVq9ejc8//xwjRozwZppe4e655+bm4vz585g2bZrtdfEf//gHPv74Y2i1WuTm5voqdY/oyL99XFwcrr32Wmg0Gtu26667DkajEfX19V7N15M6cu5PPvkk7rnnHtx///0YPnw4fvvb32LVqlVIT0+HKIq+SFtWzl73QkND3frCh4UpN+l0OowdOxaZmZm2baIoIjMzE8nJyTJm5p7+/fsjNjbW7jxMJhMOHjzoF+chSRIWLlyIDz/8EF9++SX69+9v9/uxY8ciICDALv8zZ84gPz/fL/J3RBRFmM1mv8/91ltvxfHjx5GdnW37GTduHO6++27bf/tz/i1VVVUhNzcXcXFxfv+4A8CkSZPaXPL+p59+Qr9+/QD4/98tcYzwFY4R8ulKYwSgrHGCY4RvdeT1PDk52S4eAPbu3avIx7+j49nzzz+Pp59+Gnv27MG4ceN8karHuXvugwcPbvO6+Jvf/Aa33HILsrOzkZCQ4Mv0O60j//aTJk1CTk6OXSHmp59+QlxcHHQ6nddz9pSOnHtNTQ3UavuyirVAZ+kf3rV57HXPrVbpJEmS5RKSer1e2rJli3Ty5EnpgQcekMLDwyWj0Sh3anYqKyulY8eOSceOHZMASGvXrpWOHTsmXbhwQZIkyyWFw8PDpY8++kj64YcfpOnTp/vNJYXnz58vhYWFSVlZWXaXdK6pqbHFPPjgg1Lfvn2lL7/8Ujp8+LCUnJwsJScny5h1s6VLl0r79u2T8vLypB9++EFaunSppFKppM8//1ySJP/O3ZGWV1ySJP/N/69//auUlZUl5eXlSd9++62UkpIiRUVFSUVFRZIk+W/eVocOHZK0Wq307LPPSmfPnpXeeecdKSgoSPrnP/9pi/Hnv1uy4BjhfRwj/ItSxghJUvY4wTHC9672en7PPfdIS5cutcV/++23klarlV588UXp1KlT0ooVK6SAgADp+PHjcp1Cp7h7/qtXr5Z0Op20Y8cOu9fmyspKuU6hw9w999aUflU+d88/Pz9f6tGjh7Rw4ULpzJkz0ieffCJFR0dLzzzzjFyn0GHunvuKFSukHj16SO+++6507tw56fPPP5cGDBgg3XnnnXKdQqdc7f3h0qVLpXvuuccWf+7cOSkoKEh69NFHpVOnTkkbNmyQNBqNtGfPHrful4WpDnrllVekvn37SjqdTho/frz03XffyZ1SG1999ZUEoM3PnDlzJEmyXFb4ySeflGJiYiS9Xi/deuut0pkzZ+RNuomjvAFIf//7320xtbW10kMPPSRFRERIQUFB0m9/+1upoKBAvqRb+POf/yz169dP0ul0Uq9evaRbb73V9oFDkvw7d0daf+jw1/xnzpwpxcXFSTqdTurdu7c0c+ZMKScnx/Z7f827pX/961/SsGHDJL1eLw0ePFh644037H7vz3+31IxjhHdxjPAvShkjJEn54wTHCN9z9Xp+8803214zrd5//33p2muvlXQ6nTR06FBp165dPs7Ys9w5/379+jl8bV6xYoXvE/cAd//tW1J6YUqS3D///fv3SxMmTJD0er10zTXXSM8++6zU2Njo46w9w51zb2hokJ566ilpwIABksFgkBISEqSHHnpIKisr833iHnC194dz5syRbr755jb7jBo1StLpdNI111xj936svVSS1A3mlxERERERERERkd9hjykiIiIiIiIiIpIFC1NERERERERERCQLFqaIiIiIiIiIiEgWLEwREREREREREZEsWJgiIiIiIiIiIiJZsDBFRERERERERESyYGGKiIiIiIiIiIhkwcIUERERERERERHJgoUpIj+XmJiIdevWyZ0GERH5IY4RREREpHQsTBG1cO+992LGjBkAgMmTJ2Px4sU+u+8tW7YgPDy8zfbvv/8eDzzwgM/yICIixzhGEBEREXmeVu4EiLq6+vp66HS6Du/fq1cvD2ZDRET+hGMEERERdXecMUXkwL333ot9+/Zh/fr1UKlUUKlUOH/+PADgxIkTmDJlCkJCQhATE4N77rkHJSUltn0nT56MhQsXYvHixYiKikJqaioAYO3atRg+fDiCg4ORkJCAhx56CFVVVQCArKwszJ07FxUVFbb7e+qppwC0XaaRn5+P6dOnIyQkBKGhobjzzjtRWFho+/1TTz2FUaNG4e2330ZiYiLCwsLwxz/+EZWVld590IiIugmOEURERESew8IUkQPr169HcnIy5s2bh4KCAhQUFCAhIQHl5eX4xS9+gdGjR+Pw4cPYs2cPCgsLceedd9rtv3XrVuh0Onz77bfIyMgAAKjVarz88sv48ccfsXXrVnz55ZdYsmQJAGDixIlYt24dQkNDbff3yCOPtMlLFEVMnz4dpaWl2LdvH/bu3Ytz585h5syZdnG5ubnYuXMnPvnkE3zyySfYt28fVq9e7aVHi4ioe+EYQUREROQ5XMpH5EBYWBh0Oh2CgoIQGxtr2/7qq69i9OjRWPX/27l/lkaCAAzjb05NoQajkCJKYBEVXQ2CfxoLLQxWWotIBLGJ2Fj4EcxJBG0ESxHFQsHCUjDYaKFBQQQDghpMJ1EsgoWS9Qq55XLqneECW9zzg0Aym83MLoRh3p2Z79/tspWVFQUCAV1eXqqpqUmS1NjYqPn5+bzf/HUvEsMwNDs7q0gkouXlZbndblVVVcnlcuXV97t4PK7z83Pd3NwoEAhIktbW1tTa2qpEIqHu7m5Jb4OT1dVVeTweSVI4HFY8Hlc0Gv23GwMAoI8AAAAoImZMAQU4OzvT/v6+Kisr7Vdzc7OktyfQP3V2dr47d29vT/39/aqrq5PH41E4HNb9/b2enp6+XH8ymVQgELAHHJJkmqa8Xq+SyaRdZhiGPeCQJL/fr7u7u4KuFQBQGPoIAACAwjFjCihANpvV0NCQYrHYu2N+v99+X1FRkXcslUppcHBQk5OTikajqqmp0cHBgSYmJvT8/Kzy8vKitrOsrCzvs8vlkmVZRa0DAJCPPgIAAKBwBFPAJ9xut3K5XF5ZR0eHtre3ZRiGSku//vc5OTmRZVlaWFjQt29vExW3trb+Wt/vWlpalE6nlU6n7SfiFxcXenx8lGmaX24PAODf0EcAAAAUB0v5gE8YhqGjoyOlUillMhlZlqWpqSk9PDxoZGREiURCV1dX2t3d1fj4+B8HDA0NDXp5edHS0pKur6+1vr5ub3j7a33ZbFbxeFyZTObD5RuhUEjBYFCjo6M6PT3V8fGxxsbG1NfXp66urqLfAwDAx+gjAAAAioNgCvjEzMyMSkpKZJqmfD6fbm9vVVtbq8PDQ+VyOQ0MDCgYDGp6elper9d+yv2R9vZ2LS4uKhaLqa2tTRsbG5qbm8v7Tk9PjyKRiIaHh+Xz+d5tjCu9LbfY2dlRdXW1ent7FQqFVF9fr83NzaJfPwDgc/QRAAAAxeF6fX19dboRAAAAAAAA+P8wYwoAAAAAAACOIJgCAAAAAACAIwimAAAAAAAA4AiCKQAAAAAAADiCYAoAAAAAAACOIJgCAAAAAACAIwimAAAAAAAA4AiCKQAAAAAAADiCYAoAAAAAAACOIJgCAAAAAACAIwimAAAAAAAA4Igfkf86wa3QN8cAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = data_fit.plot_trace()\n", "for ax, true_value in zip(axes[1:], true_inputs.values()):\n", " ax.axhline(true_value, color=\"r\", linestyle=\"--\")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We can reuse the same `Objective` and `DataFit` class but change which parameters are known and which are to be fitted. This flexibility is useful for battery models where we want to fit only a subset of the parameters to experimental data while keeping other parameters fixed." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2024-09-06T18:20:51.185676Z", "start_time": "2024-09-06T18:20:47.313955Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Iteration Total nfev Cost Cost reduction Step norm Optimality \n", " 0 1 2.6448e+03 9.68e+02 \n", " 1 2 2.5969e+03 4.79e+01 5.15e-01 1.04e+03 \n", " 2 3 2.5811e+03 1.58e+01 3.26e-02 1.26e+03 \n", " 3 4 2.5573e+03 2.38e+01 1.75e-02 1.51e+03 \n", " 4 5 2.5209e+03 3.64e+01 2.23e-02 1.82e+03 \n", " 5 6 2.4641e+03 5.68e+01 3.00e-02 2.21e+03 \n", " 6 7 2.3721e+03 9.20e+01 4.23e-02 2.73e+03 \n", " 7 8 2.2123e+03 1.60e+02 6.28e-02 3.51e+03 \n", " 8 9 1.9033e+03 3.09e+02 1.00e-01 4.76e+03 \n", " 9 10 1.2564e+03 6.47e+02 1.77e-01 6.05e+03 \n", " 10 11 3.5592e+02 9.00e+02 3.33e-01 9.42e+02 \n", " 11 12 3.1337e+01 3.25e+02 3.65e-01 3.31e+03 \n", " 12 13 2.7752e-01 3.11e+01 1.83e-02 7.59e+01 \n", " 13 14 2.1240e-01 6.51e-02 2.66e-03 3.61e-01 \n", " 14 15 2.1240e-01 3.76e-07 3.11e-06 1.35e-03 \n", " 15 16 2.1240e-01 4.96e-12 1.00e-08 8.17e-06 \n", "Both `ftol` and `xtol` termination conditions are satisfied.\n", "Function evaluations 16, initial cost 2.6448e+03, final cost 2.1240e-01, first-order optimality 8.17e-06.\n", "Parameter a: true: 1.500, fitted: 1.500\n", "Parameter b: true: 0.500, fitted: 0.498\n" ] } ], "source": [ "fit_parameters = {\n", " \"a\": iwp.Parameter(\"a\", bounds=(0, np.inf)),\n", " \"b\": iwp.Parameter(\"b\", bounds=(0, np.inf)),\n", "}\n", "known_parameters = {\"c\": 3, \"d\": 0.3}\n", "\n", "data_fit = iwp.DataFit(objective, parameters=fit_parameters, optimizer=optimizer)\n", "new_parameter_values = data_fit.run(known_parameters)\n", "\n", "for k, v in new_parameter_values.items():\n", " true = true_inputs[k]\n", " print(f\"Parameter {k}: true: {true:.3f}, fitted: {v:.3f}\")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Battery example: constant-current experiment" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We now repeat the same procedure for a battery model. We start by creating a model and solving it to generate synthetic data" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2024-09-06T18:20:51.295827Z", "start_time": "2024-09-06T18:20:51.192236Z" } }, "outputs": [], "source": [ "model = pybamm.lithium_ion.SPM()\n", "parameter_values = pybamm.ParameterValues(\"Chen2020\")\n", "sim = pybamm.Simulation(model, parameter_values=parameter_values)\n", "sim.solve(np.linspace(0, 3600, 1000))\n", "data = pd.DataFrame(\n", " {x: sim.solution[x].entries for x in [\"Time [s]\", \"Current [A]\", \"Voltage [V]\"]}\n", ")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Now we set up which parameters are to be fitted, and call the pre-defined `CurrentDriven` objective function, which solves the model with the current from the data and calculates the error between voltage from the model and the data" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2024-09-06T18:20:52.032527Z", "start_time": "2024-09-06T18:20:51.302985Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "The right-hand side routine failed at the first call.\n", "The right-hand side routine failed at the first call.\n", "The right-hand side routine failed at the first call.\n", "The right-hand side routine failed at the first call.\n", "The right-hand side routine failed at the first call.\n", "The right-hand side routine failed at the first call.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "True parameter value: 4.000e-15\n", "Fitted parameter value: 4.000e-15\n" ] } ], "source": [ "# In this example we just fit the diffusivity in the positive electrode\n", "parameters = {\n", " \"Positive particle diffusivity [m2.s-1]\": iwp.Parameter(\"D_s\", initial_value=1e-15),\n", "}\n", "\n", "objective = iwp.objectives.CurrentDriven(data, options={\"model\": model})\n", "current_driven = iwp.DataFit(objective, parameters=parameters)\n", "\n", "# make sure we're not accidentally initializing with the correct values by passing\n", "# them in\n", "params_for_pipeline = {k: v for k, v in parameter_values.items() if k not in parameters}\n", "\n", "params_fit = current_driven.run(params_for_pipeline)\n", "\n", "print(\n", " f\"True parameter value: {parameter_values['Positive particle diffusivity [m2.s-1]']:.3e}\"\n", ")\n", "print(\n", " f\"Fitted parameter value: {params_fit['Positive particle diffusivity [m2.s-1]']:.3e}\"\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also plot the fit results" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2024-09-06T18:20:52.098998Z", "start_time": "2024-09-06T18:20:52.039985Z" } }, "outputs": [ { "data": { "text/plain": [ "{'CurrentDriven': [(
,\n", " )]}" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAErCAYAAADaAiTVAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8hTgPZAAAACXBIWXMAAA9hAAAPYQGoP6dpAABykUlEQVR4nO3dd3hTVR8H8G+SNmnSpOke0D0oG1lC2UKhgEzZyBQBERAcLPUFGcoQEURBkCmjIFNBhlAoQ8oepeyWDkYHpSNJkyZNct4/Sq69Tdom3YXzeZ48knvPvTn3mN5f7pkcQggBRVEURb3CreoMUBRFUdULDQwURVEUCw0MFEVRFAsNDBRFURQLDQwURVEUCw0MFEVRFAsNDBRFURQLDQwURVEUCw0MFEVRFAsNDBRVSSIjI8HhcBAZGVnVWaGoYtHAQFkkLi4OEydOhL+/P2xsbGBnZ4e2bdti1apVUKlUVZ29Ujly5Ai++eYbk/s4HA7zsrKygqOjI5o3b45p06bh7t27lZtRiqokHDpXEmWuv//+G4MGDYJAIMCoUaPQsGFDaDQanD9/Hvv27cOYMWOwfv36qs6mxaZMmYJffvkFpv4UOBwOunbtilGjRoEQguzsbNy6dQt79uxBTk4Oli5dis8++8ysz9Hr9dBoNODz+eBy6W8yqvqyquoMUDVDfHw8hg4dCh8fH5w6dQoeHh7MvsmTJyM2NhZ///13mT8nJycHtra2RtsJIcjNzYVQKCzzZ1iqTp06GDFiBGvbkiVL0Lt3b3z++eeoW7cuevbsWeTxubm5TDCwsbGp6OxSVJnRny2UWZYtWwaFQoGNGzeygoJBYGAgpk2bhoSEBHA4HGzZssUoDYfDYVXZfPPNN+BwOLh79y6GDx8OBwcHtGvXDgDg6+uLXr164fjx42jRogWEQiHWrVsHAMjKysL06dPh5eUFgUCAwMBALF26FHq9njm3IR/Lly/H+vXrERAQAIFAgJYtW+LKlStMujFjxuCXX35h8md4lcTJyQm7du2ClZUVvv32W2a7oR1h165d+Prrr1G7dm2IRCLIZDKjNoYpU6ZALBZDqVQanX/YsGFwd3eHTqdjth09ehTt27eHra0tJBIJ3n33Xdy5c4d13JgxYyAWi/Hs2TP069cPYrEYLi4u+OKLL1jnoqji0CcGyiyHDh2Cv78/2rRpU+7nHjRoEIKCgvDdd9+xqnMePHiAYcOGYeLEiRg/fjyCg4OhVCrRsWNHPHv2DBMnToS3tzcuXLiAOXPmIDk5GStXrmSde+fOnZDL5Zg4cSI4HA6WLVuG9957D48fP4a1tTUmTpyI58+f48SJE9i2bZtF+fb29kbHjh1x+vRpyGQy2NnZMfsWLlwIPp+PL774Amq1Gnw+3+j4IUOG4JdffmGq6AyUSiUOHTqEMWPGgMfjAQC2bduG0aNHIywsDEuXLoVSqcTatWvRrl073LhxA76+vszxOp0OYWFhaNWqFZYvX46TJ0/ihx9+QEBAACZNmmTRNVJvKEJRJcjOziYASN++fUtMGx8fTwCQzZs3G+0DQObNm8e8nzdvHgFAhg0bZpTWx8eHACDHjh1jbV+4cCGxtbUlDx8+ZG2fPXs24fF4JCkpiZUPJycnkpGRwaT7888/CQBy6NAhZtvkyZNJUX8KAMjkyZOLvN5p06YRAOTWrVuEEEJOnz5NABB/f3+iVCpZaQ37Tp8+TQghRK/Xk9q1a5MBAwaw0v3xxx8EADl79iwhhBC5XE7s7e3J+PHjWelSUlKIVCplbR89ejQBQBYsWMBK27RpU9K8efMir4OiCqJVSVSJZDIZAEAikVTI+T/66COT2/38/BAWFsbatmfPHrRv3x4ODg5IT09nXqGhodDpdDh79iwr/ZAhQ+Dg4MC8b9++PQDg8ePH5ZJ3sVgMAJDL5azto0ePLrE9hMPhYNCgQThy5AgUCgWzfffu3ahduzZTrXbixAlkZWVh2LBhrGvm8Xho1aoVTp8+bXTuwmXavn37crtm6vVHq5KoEhmqSArf/MqLn5+f2dsfPXqE6OhouLi4mDwmLS2N9d7b25v13hAkMjMzS5NVI4YbeuGgWdQ1FTZkyBCsXLkSf/31F4YPHw6FQoEjR44wVV9A/jUDQOfOnU2eo2AVFgDY2NgYlY+Dg0O5XTP1+qOBgSqRnZ0datWqhZiYmBLTFtVwW1zDZ1G/rE1t1+v16Nq1K2bOnGnymDp16rDeG+roCyPl1Es7JiYGPB7PKBCY23uqdevW8PX1xR9//IHhw4fj0KFDUKlUGDJkCJPG0Ki+bds2uLu7G53Dyor9Z1zUNVOUuWhgoMzSq1cvrF+/HlFRUQgJCSkyneEXeVZWFmt7YmJiueQjICAACoUCoaGh5XI+oOhgVpKkpCScOXMGISEhZapmGzx4MFatWgWZTIbdu3fD19cXrVu3ZvYHBAQAAFxdXcv1uimqKLSNgTLLzJkzYWtriw8//BCpqalG++Pi4rBq1SrY2dnB2dnZqK5/zZo15ZKPwYMHIyoqCsePHzfal5WVBa1Wa/E5DeMmCgez4mRkZGDYsGHQ6XT46quvLP7MgoYMGQK1Wo2tW7fi2LFjGDx4MGt/WFgY7Ozs8N133yEvL8/o+BcvXpTp8ymqMPrEQJklICAAO3fuxJAhQ1CvXj3WyOcLFy5gz549GDNmDADgww8/xJIlS/Dhhx+iRYsWOHv2LB4+fFgu+ZgxYwb++usv9OrVC2PGjEHz5s2Rk5OD27dvY+/evUhISICzs7NF52zevDkA4JNPPkFYWBh4PB6GDh3K7H/48CG2b98OQghkMhkz8lmhUGDFihXo3r17ma6pWbNmCAwMxFdffQW1Ws2qRgLyq/LWrl2LkSNHolmzZhg6dChcXFyQlJSEv//+G23btsXPP/9cpjxQFEtVd4uiapaHDx+S8ePHE19fX8Ln84lEIiFt27Ylq1evJrm5uYQQQpRKJRk3bhyRSqVEIpGQwYMHk7S0tCK7q7548cLoc3x8fMi7775rMg9yuZzMmTOHBAYGEj6fT5ydnUmbNm3I8uXLiUajIYT81131+++/Nzq+cD60Wi2ZOnUqcXFxIRwOh9V1FQDz4nK5xN7enjRt2pRMmzaN3Llzx+jchi6pe/bsKXKfobtqQV999RUBQAIDA01es+H4sLAwIpVKiY2NDQkICCBjxowhV69eZdKMHj2a2NraGh1rKGuKMgedK4miKIpioW0MFEVRFAsNDBRFURQLDQwURVEUCw0MFEVRFAsNDBRFURQLDQwURVEUCw0MFEVRFAsNDBRFURQLnRLDBL1ej+fPn0MikZR6gjWKoqjqhBACuVyOWrVqgcst/pmABgYTnj9/Di8vr6rOBkVRVLl78uQJPD09i01DA4MJhimUnzx5YrQISnF0Oh3i4uIQEBBA58S3EC270qNlV3pvUtnJZDJ4eXmZNUU8DQwmGKqP7OzsLA4MYrEYdnZ2r/2XrLzRsis9Wnal9yaWnTnV47TxmaIoimKhgYGiKIpioYGhnOh0OkRGRuLvv/9GZGRksWscUxRFVWe0jaEc7N+/H5999hlrXWMfHx+sWLEC7733XhXmjHpTEEKQm5v7xtSTlxedTge9Xv9alJ21tXW5XQMNDGW0f/9+DBgwAEKhkLU9LS0NAwYMwL59+2hwoCoMIQQpKSnQaDRITEyk424sRAiBVqt9bcrO3t4e7u7uZb4WGhjKQKfT4aOPPgIAdOnSBTNmzMC9e/eQnJyM48eP4+LFi5g0aRL69u1b43+NUNVTSkoKZDIZXF1dIZVKSxy4RLERQqBWqyEQCGp0YCCEQKlUIi0tDQDg4eFRpvPRwFAGkZGRePHiBdq1a4ehA4Zg9Wfz4K7V40ZWOi4m3gWfz0daWhoiIyPRpUuXqs4u9ZrR6XTIysqCi4sLbG1tYWNjU6NvblXBsLLx61B2hlqLtLQ0uLq6lunHKP15UQaRkZEAgNDQUKxbsAwLFCn4ODcN3ZzcAPz3pfv111+rKovUaywvLw8AIBKJqjgnVHVh+C4YvhulRZ8YysHKlSvB1XGBWq4AgCDk90gy/M85cuQIdDodrU6iKkRN/6VLlZ/y+i7QJ4Yy6NSpEwAgKysLGfIMpHH5AIBAeSor4iqVSubpgqIoqrqrNoFhyZIl4HA4mD59erHp9uzZg7p168LGxgaNGjXCkSNHWPsJIZg7dy48PDwgFAoRGhqKR48eVUieO3XqBBsbGwAAl8vFlax0AICYy0HzQo/3ffv2hUajqZB8UNTroFOnTiX+/VOVo1oEhitXrmDdunVo3LhxsekuXLiAYcOGYdy4cbhx4wb69euHfv36ISYmhkmzbNky/PTTT/j1119x6dIl2NraIiwsDLm5ueWebx6Phzp16gDIn6r7lELO7OtnJ2WlzcnJYXo+cLlc8Pl8ODo6onfv3lAoFOWeN4oyl2FwZnh4eI0ZnBkZGQkOh4OsrKyqzsprqcoDg0KhwPvvv4/ffvsNDg4OxaZdtWoVunfvjhkzZqBevXpYuHAhmjVrhp9//hlA/tPCypUr8fXXX6Nv375o3Lgxfv/9dzx//hwHDx6skPz7+fkx/45UKJD16o/qXTs7NH71NFEYIQR5eXnIzMzE4cOHmXUfhEIhfH19sXTpUvp0QVWK/fv3IzAwEO+88w6GDx+Od955B4GBgdi/f39VZ42qQlUeGCZPnox3330XoaGhJaaNiooyShcWFoaoqCgAQHx8PFJSUlhppFIpWrVqxaQxRa1WQyaTsV5A/i+pkl7t2rVjzqMiBJszXgIArDgcrK7tiaaFBr4VJzc3F4mJiZg9ezYEAgHEYjEmTJgAhUJhVl5q+kuv11d5HmraixDC9H4z/Nvc1759+zBw4EA0atQIFy5cgEwmw4ULF9CoUSMMHDgQ+/bts/ic5r4UCgVGjRoFsVgMDw8PLF++nHUNv//+O1q0aAGJRAJ3d3cMHz4cqampIIQgPj4e77zzDgDAwcEBHA4HY8aMASEER48eRbt27WBvbw8nJyf06tULsbGxxealNGVX3V9FfV/MVaW9knbt2oXr16/jypUrZqVPSUmBm5sba5ubmxtSUlKY/YZtRaUxZfHixZg/f77R9ri4OIjF4mLz1K1bN8yYMYN5f7DZQITlJKJ+RiJcrKwwy8UVQ5MSWcdIuVxk6/XFnhfIr3767bff8Ntvv8HDwwN///230Qjr14Ver0dGRgZiY2PpIC0z6fV6aLVaaDQai3u86XQ6fP755+jRowfCw8OZMn/rrbcQHh6OwYMH44svvkBYWFiF9Kb77LPPEBkZiT/++AMuLi6YN28erl+/joYNGyI3NxdKpRJff/016tSpgxcvXmDWrFkYNWoUDh48CBcXF+zcuRPDhw/HrVu3IJFIIBQKkZubi6ysLEyePBmNGjWCQqHAwoUL0b9/f1y8eLHI75VWqy3366sqarWaGcld+HotqbKussDw5MkTTJs2DSdOnGAacKvKnDlz8NlnnzHvDQtaBAQEmLUeg2HqCwDIeXoX87tPxdxLm9EgIwGHXj19GEi5XEQF1UG2TockjQZJeXlI0mgQr9HgklKJFzrTX9Lk5GQ0a9YMTk5O2LZtG7p06fJadX/V6XSIjY1FYGDga3VdFcnwhMnn88HhcCwavRsZGYnExESEh4ebHAfx1VdfoW3btrhy5QrT+668KBQKbN26Fdu2bUOPHj0AANu2bYOXlxd4PB5sbGwwceJEJn29evWwevVqvP3229BqtRCLxXB3dwcAeHl5wd7enkk7dOhQ1mdt2bIFrq6uePz4MRo2bGiUF8MTQ00f+VyQlZUVfHx8jO6rskL3omLPUd6ZMte1a9eQlpaGZs2aMdt0Oh3Onj2Ln3/+GWq12ugG4e7ujtTUVNa21NRU5kti+G9qaiprSHhqaireeuutIvMiEAggEAiMtvN4PLNuUrt374a1tXX+sPT755Ec1BpTXJug072LOCGXs9L68PO7tEp5PDQSCtGo0BPAQ3UuIhUKHJbJEGuineHly5fo2bMnAGDEiBHYuHEj+K/OWdNxuVyzy5zK/35yOBzmhlbw3yUxPEE3atTI5DGNGjVi0pX3DfPx48fQaDRo3bo1c24nJycEBwcz13Dt2jV88803uHXrFjIzM6F/9YT95MkT1K9fv8hrfvToEebOnYtLly4hPT2ddZzhmkyxpOyqM8N1mPo7suTvqsqe2bt06YLbt2/j5s2bzKtFixZ4//33cfPmTZMXERISgoiICNa2EydOICQkBEB+Q7C7uzsrjUwmw6VLl5g0FYHH4yE8PJx5n354BdKO/oTdWVnIKFCvZ+PfAhyhHS7k5OCpRgPdq18rBdUR2GCCkzP+8vOHl7V1sZ+7fft2CAQCdOzYkTZWUxYx/HAq2KOvIMP2ss65Uxo5OTkICwuDnZ0dduzYgStXruDAgQMAUOL3vHfv3sjIyMBvv/2GS5cu4dKlS2YdRxVCqpGOHTuSadOmMe9HjhxJZs+ezbz/999/iZWVFVm+fDm5d+8emTdvHrG2tia3b99m0ixZsoTY29uTP//8k0RHR5O+ffsSPz8/olKpzM5HdnY2AUCys7Mtyn+fPn0IAJMvgWcD4v35fuIxdjXhCGwJAGLN4RBfaz7paGtLpjg5k13ePiSmTjC5G1yX7PHxNTqHiMMp8vwASOPGjYlSqbQoz9WFVqsl9+7dI1qttqqzUmOoVCpy9+5dolQqiVKpJHq93uxjtVot8fX1Jb179yY6nY61T6fTkd69exM/P78K+f8hl8uJtbU1+eOPP5htGRkZRCQSkWnTppGrV68SACQpKYnZv23bNgKA3LhxgxCSfy8AQNLT05k06enpBAA5e/Yss+3cuXMEADlw4IDJvOj1eovLrjozfCdM3e8sua9V61a+pKQkJCcnM+/btGmDnTt3Yv369WjSpAn27t2LgwcPsuoOZ86cialTp2LChAlo2bIlFAoFjh07VintGPv378fYsWNN7nPoMh4cKz74rn6QhgwGAOQRgoQ8Dc7k5ODnl+kYmpSIjnGxWJSago2vejcV9Lu3D37z9ELrIubGiY6Ohkgkgo+PD1QqVfldGPXa4fF4+OGHH3D48GH069cPUVFRkMvliIqKQr9+/XD48GEsX768Qqr1xGIxxo0bhxkzZuDUqVOIiYnBmDFjmMZSb29v8Pl8rF69Go8fP8Zff/2FhQsXss7h4+MDDoeDw4cP48WLF1AoFHBwcICTkxPWr1+P2NhYnDp1itV2SFmgIqJWTVfaJwbDr16lUkk6duzI+jVv5VCLeE7dQZz7zSHgWRf7y9/U6y0bIbkbXJd5/eHjQ8LEEsIt5hhXV1cil8srqJTKF31isFxZnhgM9u3bR3x92U+nfn5+ZN++fRWQ4//I5XIyYsQIIhKJiJubG1m2bBmrxmDnzp3E19eXCAQCEhISQv766y/WEwMhhCxYsIC4u7sTDodDRo8eTQgh5MSJE6RevXpEIBCQxo0bk8jISPrE8Iol9zUOISYqut9wMpkMUqkU2dnZZvVKMtDpdHj06BGCgoLA4/Gg0WiwcuVKbN68GQkJCdCJHKHLToO+iJ5HxWkjEmGumzu8CzU0J2o02JTxEn/KZNAU8b9SKBRi37596NatW7Vt2C1cdlTJcnNzER8fD19fXwClnzpap9Ph3LlzSE5OhoeHB9q3b//G/D8gr1a+ex2m3Qb++074+fmZ7JVk7n2tWlcl1XR8Ph8zZ87EvXv3oFKpoHn5DDptHrOoxrhx45gBOiW5oFTi3fjH+Oz5M9wrML2HD5+P+e4eOOkfgAmOTpCa6KutUqnQs2dPWFlZYcSIEbQhjmLh8Xjo1KkThg0bhk6dOr0xQYEqGg0MVUQoFOLHn9di8KoTuJbwElqtFocOHYKPj0+Rx+gAHJPLMSAxAR8+ScLFnBxmn7OVFaa7uGCem3uxn7tjxw4IBAJ4eXnh+PHjFo2GpCjqzUADQxVJk+di0K9ROHYnBeN/v4ZkmRq9evVCQkICEySKG+V8QanEB0+fYHBiAo7LZdC/qkbanpVp1uc/ffoU3bt3h5WVFbp27UobqymKYtDAUEXshXxIhfnjFPJ0eqTK/qse4vF46NWrF5RKJeRyudEUHwXF5Obi0+fP0SP+MZa/SMP1Qjf47hIJtnl5o5tYUuRoxpMnT0IkEkEqleLo0aP0KYKi3nA0MFQRvhUXv45ojneCXXDg4zZo7uNoMp1YLEZKSgqUSmWx05I/ycvDpowMo+0fODqiuUiElbVr42RAAKY4OcPdynSIkMlkTFtEo0aNaFUTRb2haGCoQg62fGwe+zb8XYqfqA/Ib5O4desW1Go1OnbsaN75eTzYcP77X+xqZY2PnZ1xwj8AP9eqjXYiWxTV7B0TE8NUNTVv3pyuGUFRbxAaGKqhP28+Q7bK9GLefD4fkZGRUKvVGDlyZLHnydTp0CchHuOeJOEfuRzaV+0QPA4HnSUSrPfywkn/AExzdoZjMT1Rrl+/DolEAh6Ph86dO9MnCYp6zdHAUM1sOPcY03bdxMC1F/AkQ1lkOj6fj99//x1arRZfffVVsVNVRymVmP78GUIfx+Hn9BdIyfsv6HhYW2Oco1ORTw4F6fV6nD59mnmS8PPzo20SFPUaooGhGklXqLEmMg4A8ChNgauJxm0GhfF4PCxatAgajQZHjhyBk5NTkWnTtFqsefkSXR/HYeqzpzijUEBLCM7l5OBloZv7EHt79JLYwbaYgJOQkMC0SXh5eWHZsmV0jARVIkvXdk5ISACHw8HNmzfL9byRkZHgcrl0eVATqnShHorNWSzA/klt8MGWK+jZyAP9m3qafSyPx0OPHj2Qnp4OlUqFVq1a4fbt2ybT6gBEKBSIUCjgzONBzGVXI1kB+MTJGQ5WVlDr9Tifk4PjcjlO5yiQU8QCQ0+fPsWsWbMwa9Ys2Nra4v3338fKlStf24WFqNLbv38/rEuYObggLy8vJCcnw9nZGUD+Df2dd95BZmYmay0GS89LFY0+MVQzvs62ODilLT7rWsdoX47avKk0hEIhoqOjoVar8f777xebNl2nQ0Ie+1d+S5EIDq96Lgm4XHSRSLCsVi2cDwjEz7Vqo5+dFPbFtEnk5ORg/fr1EIlE4PP5mDBhAh0nQTEcHR0hkUjMTs/j8eDu7g6rInrTlfa8VNFoYKiG7GysweWya/3PPXqBdktP4eCNZzB3eis+n4/t27czA+bMnffpolKJkUmJ2JGZiTTtf+0RAi4XnSUSfOfhgXMBgfjdy7vYAAEAeXl5+O233yASicDj8dCsWTPaLvGGK1zl4+vri++++w4ffPABJBIJvL29sX79emZ/waqkhIQEk+s9mzrvtm3bjNaNTktLsyiv9+/fR7t27WBjY4P69evj5MmT4HA4OHjwIID8pxcOh8Oqjrp58yY4HA4SEhKYbefPn0f79u0hFArh5eWFTz75BDkFZi5Ys2YNgoKCYGNjAzc3NwwcOJDZt3fvXjRq1AhCoRBOTk4IDQ1lHVsRaGCoARRqLWbvu41MZR6m776JU/ct+3IbBsxlZ2dDqVQiNDS02PQEwDWVCt+mpaJzXBwTJF4UWBuXx+GgtrU1sgrd4B15vCIbsvV6PW7cuEHHSlBGfvjhB7Ro0QI3btzAxx9/jEmTJuHBgwdG6by8vJhldB88eIDk5GSsWrXK5Dnz8vKwcOFC3Lp1CwcPHkRCQgITRMyh0+nQr18/iEQiXLp0CevXr8dXX31l8bXFxcWhe/fuGDBgAKKjo7F7926cP38eU6ZMAQBcvXoVn3zyCRYsWIAHDx7g2LFj6NChA4D8JX2HDRuGDz74APfu3UNkZCTee+89s38cllr5Tvr6eijrtNvlPXV0Zo6aTN5xjfjMOkyGrosiOl3ZpwjWarXkyJEjxMvLy+ypv7kAaSoUks9dXMjffn7ka1c3ozTbvb1JZEAAmefmRtrb2hLrEhYXMryaNWtGrly5QqfdtkB5TLtdFQovyOXj40NGjBjBvNfr9cTV1ZWsXbuWEEJIfHw8a8rt06dPEwAkMzOz2PMWduXKFQKAmYrecJ7nz5+bLLujR48SKysrkpyczGw7ceIEaxpvU3m5ceMGAUDi4+MJIYSMGzeOTJgwgXXuc+fOES6XS1QqFdm3bx+xs7MjMpnMKA/Xrl0jAEhCQkKR11VQeU27TRufawB7ER8/D2+GXo1TUM9DYlTNFJumQICLrUXTBhsaq5OSkqDRaLBixQrMnz8fuQVmbi1MD+CGSoUbKhV+ePEC1oU+z4nHw1s2QnA5HAyxd8AQewfIdTqcyVHghFyB8zkKqIr4pXP9+nW0bNkS1tbWWLhwIT799NPXZi3ryrbh3GNsOBcPAPhxyFsICfivp9qTDCUG/RoFAAhr4Ib5fRuyjv1w6xXEPMtfNP7il11Y+/ZcfYIf/nkIAPimT310b1h+y34WHNXP4XDg7u5ucbVPYUWtG52UlIT69euXePyDBw/g5eXFrCUPAG+//bbF+bh16xaio6OxY8cOZhshBHq9HvHx8ejatSt8fHzg7++P7t27o3v37ujfvz9EIhGaNGmCLl26oFGjRggLC0O3bt0wcOBAODg4WJwPS9CqpBqke0N3+DjZsrbFp+egx6qzGLXpMh6mykt1Xj6fj9mzZ0OlUkGpVGL8+PFm3ZTzCt3kxVwuInMUyC3Qc0nC46GXnRSratfGv4FBWF2rNvrY2UFYRBDLy8vD7NmzIRAI0KhRI9poXQryXC1SZLlIkeVCo2P3ItPpCbPP1CDKlzkaZn9hqjwds0+VV77Vf4V7E3E4HOZGXhplWTfaEobxQ6TA30JeHrtcFQoFJk6cyFrf/tatW3j06BECAgIgkUhw/fp1hIeHw8PDA3PnzkWTJk2QlZUFHo+HEydO4OjRo6hfvz5Wr16N4OBgxMfHl9s1mLyuCj07VeEWHr6LPB3BuUfpOHTreZnPJxQKsX79eqjVambNiJJ6gxgk5uVhyrNnaBv7CFOfPcXB7GxkF2g/sHnVw+lbdw8IixkfYRATE0OXKi0FiY0V3O1s4G5nAz6PXc48LofZZ5jEsSAnWz6zvzChNY/ZJ7SuujUbDD9aimubun//Pl6+fIklS5agffv2qFu3rsVPIMHBwXjy5AlSU1OZbVeuXGGlcXFxAQDWEsSFx1s0a9YMd+/eRWBgoNHLcC1WVlYIDQ3FsmXLEB0djYSEBJw6dQpAfpBs27Yt5s+fjxs3boDP5zNBrqLQqqQajBCCgc098SBFDq1ej486BpTr+YVCITZs2IANGzZApVJh2rRp2LFjB5TKokdkA4CKEGachBXyu792lUgQKpbA2coK11QqZBT6ow4Vi5Gp0+GaiQCQlJQEkUgEb29v3L9/n46NKMGH7f3xYXt/k/u8HEVGVUQFbRjdssh9g1p4YVALrzLnr6wKrvfcs2dPCIVCiMXs+cYKrhv90UcfISYmxmjd6JJ07doVAQEBGD16NJYtWwa5XI6vv/4aAJhq28DAQHh5eeGbb77Bt99+i4cPH+KHH35gnWfWrFlo3bo1pkyZgg8//BC2tra4e/cuTpw4gZ9//hmHDx/G48eP0aFDBzg4OODIkSPQ6/UIDg7GpUuXEBERgW7dusHV1RWXLl3CixcvUK9evTKUoBnMatF4w1S3xueSqDRacve5cV5P3UslZx+mlfvnqdVqsnjxYiIWiy1at9rQeN1cKDTafso/gNwNrkv+8vUjg6RSYlNMo7W3tzdRKpXlfl01zevU+Pzjjz+y0jRp0oTMmzePEGLc+EyI6fWeC5+3pHWjS2p8JoSQe/fukbZt2xI+n0/q1q1LDh06RACQY8eOMWnOnz9PGjVqRGxsbEj79u3Jnj17WI3PhBBy+fJl0rVrVyIWi4mtrS1p3Lgx+fbbbwkh+Q3RHTt2JA4ODkQoFJLGjRuT3bt3E0IIuXv3LgkLCyMuLi5EIBCQOnXqkNWrVxdZtuXV+FylgWHNmjWkUaNGRCKREIlEQlq3bk2OHDlSZPqOHTuavFH07NmTSTN69Gij/WFhYRblq6YFBlNy1Hmk1bcnic+sw2TclstEpamYPBmChJOTk0VBouArRCQid4Prsl5RgUHkU2cX4sTjFXlcvXr1iFqtrpDrqglqamCoTvR6vUVld/78eQKAxMbGVnDOSqe8AkOVtjF4enpiyZIluHbtGq5evYrOnTujb9++uHPnjsn0+/fvR3JyMvOKiYkBj8fDoEGDWOm6d+/OShceHl4Zl1Ot7Lv+jGlA1BPApoLqhA0N1+np6dBqtThy5Ag6depkUQ+pGyoVZj5/jmsFqqikPB7GOznhuH8APndxgYOJgXT37t2DQCDAJ598Ui7XQlGFHThwACdOnEBCQgJOnjyJCRMmoG3btggIKN9q22qnIqJWWTg4OJANGzaYlfbHH38kEomEKBQKZtvo0aNJ3759y5SH1+GJQafTk33XnpA2iyNIXJq8SvIgl8tJ7969ibW1tdlPD/UFAvKduwe5GVSH9QRxNagOmeLkXORxAoHgjateok8MZVfSE8PWrVtJUFAQEQgEpHbt2mT06NEkPT29knNpvtduHINOp8OePXuQk5ODkJAQs47ZuHEjhg4dCltbdhfOyMhIuLq6wsHBAZ07d8aiRYuKnXVUrVZDrVYz72UyGZMnS0bl6nQ66PX6ajOSt28TD7zb0A1WPC4rT49fKPD1n3fxTe96qONWcXPLCIVCVhfBFStWYNGiRcWOlbirVuPLlGT8+OIFPnRyxGCpPQRcLkRcLjyLmSBNrVZDJBKhXr16uHbt2hsxBkKn04HkVweDw+FU/GjY15ChzIoqu5EjR5pc96S6lrXh+2Dq3mXJfYlDqvgKb9++jZCQEOTm5kIsFmPnzp3o2bNnicddvnwZrVq1wqVLl1iDTnbt2gWRSAQ/Pz/ExcXhyy+/hFgsRlRUFHhFzOvzzTffYP78+Ubbr1y5YtTboTh6vR4ZGRlwdHQsdn2EqqQnBLOOPcft1FxYcYH5XTzQvLaoUvOgUqnw3Xff4c8//zTq812Yq5UVxjs6oZedHfolxCNVa95EgqGhoVi5cmWR/89fB3q9HlqtFt7e3uDxeGZ3K6bYtFrta1N2arUaSUlJsLKyMroHKRQKtGzZEtnZ2SXOm1blgUGj0SApKQnZ2dnYu3cvNmzYgDNnzpQ4MnHixImIiopCdHR0sekeP36MgIAAnDx5El26mO6mZ+qJwcvLCxkZGWZPPAfkR+TY2FgEBgZW2xtSqiwX72+8jPh0JbwdhTgytR2E/KrLq0qlQp8+fXD69Oli09lyuUZTfve3k6KNrS1+eJGGlCICxpdffol58+ZV2/8fZZGbm4vExET4+vqCw+FAIBBY1LZD5f/CVqvVr03Z5ebmIj4+Hj4+PrCxYY9FkclkcHR0NCswVLs2hi5duhjNK1KYQqEgdnZ2ZOXKlWad09nZmfz6669m5+F1aGMojkqjJcuP3yfnHr4w2ldV9dRqtZqsW7eOCAt1ZS3qZcvlkrMBgeRucF1yLagOmeTkRATFdHHduXNnlVxXRaJtDGVnaa+k6u616JVkil6vZ/16N2XPnj1Qq9UYMWJEied7+vQpXr58CQ+P8pvXpaazsebh827BaBfkzNouz81D/zUX8M+dlErPE4/HQ4cOHSCXyyGXyyGVSotNH8Dnw/AMIORyMdXZBX/7+SNMbLrNZPjw4XB2dqYjqCnKDFUaGObMmYOzZ88iISEBt2/fxpw5cxAZGcksLjNq1CjMmTPH6LiNGzeiX79+Rg3KCoUCM2bMwMWLF5GQkICIiAj07dsXgYGBCAsLq5Rrqsm+P/4AN59kYcK2a1gTGVtl+RCLxcjKyio2QETn5qJH/GNszchg5myqZW2NH2vXxhYvbwQLBEbHvHz5EiKRCG5ublAoFBV6DRRVk1VpYEhLS8OoUaMQHByMLl264MqVKzh+/Di6du0KIH8qhIJzkAD5Mx6eP38e48aNMzofj8dDdHQ0+vTpgzp16mDcuHFo3rw5zp07B4GJGwX1H52e4Glm/q9poTUPvRvXquIcsQOESGTcQC7T67H0RRr6J8TjfM5/N/q3RSLs9fHFN25ucOEZNyqmpaVBIpFAKpXSAEFRJlRpU/zGjRuL3R8ZGWm0LTg4uMiuYkKhEMePHy+PrL1xeFwONo5ugb9uPYdSo4OXI/tGTF51iawKYrEYOTk52LFjh8nqw8caDSY8fYqOtraY7eoGHz4fPA4Hg+0dINPpsSL9hcnzymQySCQSCIVC7Nu3D926dXstG6mrI0IIJk6ciL179yIzMxNSqRRjxozBypUrqzprFOjsqlQBHA4Hfd+qjWFve7O26/UEozZdxs+nHkGjLf1UyGX1/vvvQ6vVIigoyOT+Mzk56JMQj+VpaVDodFDq9dicmVHieVUqFbOq3IgRI8p1WmbKtGPHjmHLli04fPgwkpOT8fDhQ9Ykd76+vjRIVCEaGKgS7bryBOcepWP5Pw8xNfx6leaFx+Ph4cOH2Llzp8knmDxCsCkzA2Hxj/Hp82fILDSoZ7KTM+a5ucGniMFyO3bsgEAggJeXF112tALFxcXBw8MDbdq0gbu7O1xdXSGRVNxgS8oyNDBQJXohV8OwaNzoNr5VmheDYcOGIS8vDwMGDDC5P1Onw7lCC6bbcrkY5ZC/stzffv5YVas2mtgYrzsA5Pdm6969O6ysrNC1a1fam6kcjRkzBlOnTkVSUhI4HA58fX3RqVMnTJ8+HQDQqVMnJCYm4tNPPwWHw3ktxhfUNDQwUCWaFhqEQ1PbYVqXILQJYHdxfZ6lQuLLnCKOrFg8Hg979+6FWq02a6nGegIBE+C4HA66SiQI9/HFDm9v9JLYGS1VanDy5EmIRCJIpVIcPXqUPkWU0apVq7BgwQJ4enoiOTnZaPGb/fv3w9PTEwsWLGAmwqQqFw0MlFka1JLi0651jLYvP/4AnX84gxl7buGlovjxJxWFz+fjzp07UCqV8PHxKTLdVZUKnePi8MOLNKRp/5uKo6lQhGW1auG0fwA+dXZBLSvT1UwymYxpi2jUqBGtaiolqVQKiUQCHo8Hd3d3ZhU0A0dHR/B4PEgkEri7u7PWXKYqx+sxQQhVJeJeKHDw5jPoCXDiXirm9i75V3tFEgqFSEhIgEqlgo+PD168MO6NJNfrsTEjA79nZqKXxA6jHR1QR5BfneRoZYXxTk54184OXR/Hobi5YmJiYtC9e3cA+Us3njlzxqJ5tSrSy81bkLFlS4npbOrXh9faNaxtTyZ9jNy7d0s81nHMGDiNHVPKHFLVHQ0MVKm5SgSYHloHG849xvj2/pDYsH9pJ71UwtNBCC63cuuIhUIh0tLSoFAo4OnpiezsbKM0eYTggCwbB2TZaCYUYqi9PcJeVSftycoyCgpe1tZ4UsSEf9evX4dEIgGXy0XHjh0xa9YshIaGVlnXV71CAW2BdYqLojPxS1yXkWHWsXo6/uO1RgMDVWoSG2t80iUIo9v4wprHvvmrtTq8t/YCJDZWGB3igzFt/So9f4YBcgqFAoGBgaxF3Qu6rlLhukqFpWlpGCi1x77sLNZ+H2trHPUPQEyuCn9my3BELjPq7QTkT+dy+vRpZkJAZ2dnfPHFF/j0008rdRpwrlgMKze3EtPxHB1NbjPnWG4FPx3x+XxaTVeFaGCgykwqNK6T/+vmc6Qr1EhXqHHzSVblZ6oAsViMlJQUqFQq1K1bF0lJSSbTvdTpsC7jpdH2vq+m5WhoI0RDGyFmubriklKJo3IZIuRyZOtNj+1IT0/H7NmzMXv2bAgEAnTt2hXh4eEVXuXkNLb01TyFq5aqiq+vL86ePYuhQ4dCIBDA2dm55IOockMbn6kK4ekgQoh//lxWhQfMEUKw63ISMnIqdyCZUChEYmIilEolGjVqZPZx8RoNYnL/665qxeGgra0tFrl74GxgENbV9kR/OynsilmDQ61W4/Dhw5BIJOBwOPD09MTEiRNpN9giLFiwAAkJCQgICDBqnKYqXpWvx1AdyWQySKVS8+YtL0Cn0+HRo0cICgqiUyu8kvgyB96OIlZf9GuJmRiw9gL4PC6mdA7EJ12CqqTsNBoNPvjgA+zYscOs9EF8AfpI7RAmlsDTRNXQIVk2ZpWiayWXy0XdunUxevRoTJ8+3exqJ8Pc+76+vgAAGxsb2uffQoQQ5ObmvjZlZ/hO+Pn5mVyPwdz7Gn1ioCqUj5Ot0R9c+OX8qhyNTo/a9sKqyBaA/Hrs7du3Q6vV4tChQyX+sTzSqPHDixfoFv8YQxITsDnjJZILNEhHFmqQFXG4+NzFBc2FQhQX6vR6Pe7evYtZs2ZBIBDAysoKTZs2pWMmqCpDAwNV6T7uFICJHfzh52yLdxuz18lIzs7F5J3X8W9sOvT6ynmY5fF46NWrF7Kzs6FUKhEaGlriMbdzc/H9ixcIfRyHoYkJ2JKRgfOFRlq3sRVhnKMTtnn74N/AIKyqVRtD7O3hXcza1UD+k+fNmzeZMRNCoRDNmjWjgYKqNLQqyQRalVQ5Cs7Yaii7o0kcrDqVvxbEF93qYEpn0xPmVTSdTod//vkHEydOxJMnT0p1jm/d3dFfam9y31ONBheUSkTl5OCiMqfIBmxTrK2tUatWLXz++efo0qUL/Pzye3y9LtUhlYlWJZlmVq8kRxPd2orD4XBw/fr1YkehUpSpP8SI+2kAACsuB/2beVZ2lhg8Hg89evRAUlISNBoNVqxYgfnz5yM3N9fscyxLS8NFpRIdbcUIEYngUGDBeU8+H4P5fAy2t8dNlQrDkxLNPm9eXh4SExPxww8/ICgoCEqlEtbW1nB1dYWbm5vRIvAUZSmzAkNWVhZWrlxZ4nKLQH4E/vjjj+kjL1Uqeya2xqkH6UjMyDFqfzjz8AWuJWRgbFs/ONhW3rgAPp/PdDtVqVSYNm0atm7dWuL03Nl6PQ7JZDgkk4GD/Lma2tjaoo3IFs2EQvBf3cCjcoznmtro6YVHajWuqJS4qlSW+ESRl5eHZ8+e4dmzZ0yeXVxcaKCgSsWsqiQul4uUlBS4urqadVKJRIJbt27B39+/zBmsCrQqqfKVVHaEEPRfcwE3n2RBxOfhz8ltEeRWtdM0q1QqTJ06FVu3boVWq7XoWBsOB82FIrSxFeFvmQx3C6xz7s/n47Af+2/nfm4urqqUuKJU4apKiUydDt7e3vj111/N6s5JA4Vpr1tVkkqlQkJCQuVUJektqP8EALlcblF6iipJ3AsFYp7lT23h7ShCgEvVz0skFAqxYcMGbNiwgXmS2LNnD7Kysko8NpcQ/KvMwb9K46eFOgIB9ISAW+BGVdfGBnVtbDDCIf/9Q3UubhBAqzE9TUdhGo2GeaLgcDgQCoWoXbs27OzsXosbIpVPqVQCyG+HKguzG58PHz6Mnj17vhG/NugTQ+Uzp+yeZiqx/uxjtAlwQveG7N5MB288Q2NPKfyrQcDQ6XQ4evQovv76a9y+fdviH1YAYMflorlQhJYiEVqIhKgnsAGv0A08W6fDhg7tMXTYMNjb2wMArDkc6AiBJZ/I4XBga2sLLy+vN+57SwiBWq2GQCCo0QGSEAKlUom0tDTY29vDw8PDKI0l9zWzA4OVlRXc3NwwZswYjB07FoGBgaW7ggLWrl2LtWvXIiEhAQDQoEEDzJ07Fz169DCZfsuWLRg7dixrm0AgYDUIEkIwb948/Pbbb8jKykLbtm2xdu3aIpeDNIUGhspXlrJLk+ei3dLTyNPpMai5J5YNbFJBuSwdQ5XTrl27kGOiPcEcYi4XzYRCvC0SoaVQhPo2NohUKPBJ8nOMHTsWffr0AZ/Ph7OVFQRcLvIIgUavh5oQaCwMFNbW1rC1tX0jniYIIdBqtbCysnotrtXe3h7u7u4mr6Xcq5IAID4+Hps3b8bWrVuxZMkStGvXDh9++CEGDhwIobB0g5Q8PT2xZMkSBAUFgRCCrVu3om/fvrhx4wYaNGhg8hg7Ozs8ePCAeV+4AJYtW4affvoJW7duhZ+fH/73v/8hLCwMd+/eNapzo14PWy8kMGtR29mU7RG6IhSscjJ0g122bBnOnz9vdtuEQq/H2ZwcnH0VWGy5XEi5PBBCsGnTJuzatQvuzs74w88fPA4HPAAFv+2JGg2ic3MRk6vCLZUKcjOfYsRiMSZOnIjRo0dX6kSAlUWn0yExMRE+Pj41/sectbV1+V0DKYVTp06RUaNGEVtbWyKVSsnEiRPJ5cuXS3MqIw4ODmTDhg0m923evJlIpdIij9Xr9cTd3Z18//33zLasrCwiEAhIeHi42XnIzs4mAEh2drbZxxBCiFarJffu3SNardai46iylZ1MpSFrTseSkO9OkpRsFWufUq0lv52NI2my3PLKarlSq9Vk6dKlpG7duoTL5RIApX5JuFzyuYsL2eXtQ27XCSZ3g+uafN2uE0xCxWKLz+/o6EiWLl1K1Gp1VRdbuXmT/mYtua+VqsHgnXfewdatW5GcnIzvv/8et2/fRuvWrdGkSekf4XU6HfOoHRISUmQ6hUIBHx8feHl5oW/fvrhz5w6zLz4+HikpKayRq1KpFK1atUJUVFSp80ZVbxIba0zqFIBzszrDzY79VHj8TgoW/X0PrRdHMFNxVCd8Ph8zZ87EvXv3oNPpoFarsXjxYnh5eVncnifX6/HDixcYmpSI1rGP8NHTJ9iY8RLRKhV0BWqMeRwO7hQajxEsEKCPnR0ci/nFmZGRwUzb4ebmRkdiv8bKNO22RCJBly5dkJiYiPv37+OuGSs/FXb79m2EhIQgNzcXYrEYBw4cKHL93uDgYGzatAmNGzdGdnY2li9fjjZt2uDOnTvw9PRESkoKAMCt0Hzybm5uzD5T1Go11AW6C8pkMgD5wcqSL75Op4Ner6d/LKVQXmVX+PA9V/NHLev0BAHOItb5NVo9MnI0cJdWnypGHo+HGTNmYMaMGQDADK5bt24dnj17ZnZDdo6JqqfmQiFai2zhaW2N5EJVWH3tpBjj6Ag9IbiuUuGEQo4IuRzPi6jqSktLQ8+ePQEAoaGhOHDgQKmrlKvSm/Q3a8k1lmpKDJVKhT179mDTpk04d+4c/Pz8MHbsWIwZMwa1a9e26FwajQZJSUnIzs7G3r17sWHDBpw5c8asxd3z8vJQr149DBs2DAsXLsSFCxfQtm1bPH/+nNUqP3jwYHA4HOzevdvkeb755hvMnz/faPuVK1csmjtfr9cjIyMDjo6Ob0TvrfJUUWX3JFuDk7Fy3EhWYeW7tVldQK8+VeLrk8nwdeBj5FsOaOtT9T2aSqLT6fDvv/9ixYoViIuLs3j8RFH+8vVDoEBgtP22SoWTCjn+kcuRWMQKdgZisRjLly9Hu3btakx9/Zv0N6tQKNCyZcvy7ZUEABcvXsSmTZvwxx9/QKPR4L333sO4cePwzjvvlDnTBqGhoQgICMC6devMSj9o0CBYWVkhPDwcjx8/RkBAAG7cuIG33nqLSdOxY0e89dZbWLVqlclzmHpi8PLyQkZGhsW9kmJjYxEYGFhj/jCqi6oouzkHYvDH1acAgPUjmqFLvf8GcObp9HiaqYKvk6ha91bR6XT4+++/MWfOHDx+/Bh5Jdy8i9JcKEQHWzG6iMXwNxEgAOCWSoVf0tNx3sTYi8KGDx+ODRs2VPsG6zfpb1Ymk8HR0bF8eyXVr18fDx48QNOmTbF48WIMHz7crCkyLKXX61k36eLodDrcvn2beaT18/ODu7s7IiIimMAgk8lw6dIlTJo0qcjzCAQCCEz8MfB4PIu/LFwut1THUZVfdsHudnjLyx73kmVoG+TC+tzrT7Ix6Nco1JLaYGqXIKPFhqoLHo+HPn36oF69ekyXbMMYirt375odKK6pVLimUuHH9Bfw5/PRVSxBqESCBgV68jURCsE3c/3unTt3YufOnWjYsCEuX75crauZ3pS/WYuuz9wW7alTp5KbN2+WukXclNmzZ5MzZ86Q+Ph4Eh0dTWbPnk04HA75559/CCGEjBw5ksyePZtJP3/+fHL8+HESFxdHrl27RoYOHUpsbGzInTt3mDRLliwh9vb25M8//yTR0dGkb9++xM/Pj6hUKqPPLwrtlVT5qrLs5Ll5RttWnnhIfGYdJj6zDpPdV5JY+/R6PTlxJ4Vk5WgqK4vFKq7stFotOXToEGnSpAnh8XgW90SqZWVNxjo4kv0+vuTfgEBiXWh/S6GITHVyJu5WVsWex9vbmyiVyiooneK9SX+zltzXzH5i+Omnn8yPNmZKS0vDqFGjkJycDKlUisaNG+P48ePo2rUrACApKYlV75eZmYnx48cjJSUFDg4OaN68OS5cuMBqj5g5cyZycnIwYcIEZGVloV27djh27Bgdw0AVSSww/jPwdRahXaAzriRkoE2AE2tffHoOPvz9KjgcYGRrHyzo27Cysmoxw1oTvXr1AvBfY/aaNWvw9OlTkBJqkp9r87A5MwObMzPgzOOh8PPHaEcHdBZLMMHJCZEKBcKzMhGlVKLwWZOSkiASieDk5IQdO3YgNDT0tf+FXpOZ1cbQrFkzREREwMHBwayTtmvXDrt377a4Ibq6oCOfK191LTu1VgeBFTs/2y4m4n8HYwAAs7rXxaROAUb7g90keMvLHnyrim/QLEvZGUZlb9++3ewqXAMpl4szAYHMLLEGcWo1Nmdm4LBMBk0RtxcOh4OvvvoK33zzTZX+/66u37uKUO5TYnC5XJw6dcrsdRnatGmD6OhoOrsqZbaaVHbRT7Pw583n+Dc2HcsGNkZjT3tmX5ZSg6YLT4AQoKm3PQ583LbC81NeZafRaLBy5Ur89NNPzPTdJXG1ssJAqRSDpPZwKzRxW7pWix2ZmdiVlVnstOEjRozAxo0bq6ShuiZ978qqQgIDh8Mp8bGTOSmHg0ePHtHAQJntdSm7YzHJ+Gj7dQDAh+388HUvdrfr1RGPYCe0RpsAJwS6isulx1NFlJ1hIsAPPvgAL168KDG9FYBOYjFGOjiipUjE2qfU69EnPh7PtcU3hHfo0AEnTpyo1ADxunzvzFHucyXFx8dbnAlPz6pbfYuiqkoLX0d8P7AxouJeonM99volGq0ea8/EQanRwc1OgItzulRRLktmaJtIS0tjniQWLlwIhUJhMr0WwEmFAicVCjSyscEYB0d0k0jA43DwUK0uMSgAwNmzZyEQCNC4cWNcvHixWvdket2ZFRjoEp0UZR5nsQCDWnhhUAsvo33RT7Og1OSPPm0T4Gz0tLDk6H1k5mjQJtAJYQ3cYWNdPX7BGqbtmDlzJlQqFfr06YOTJ08Wmf52bi4+T36O2unWGOXggKgcpVGar1zdEKlQmFyPIjo6GiKRCN7e3rh//z4NEFXg9R7qR1HVSDNvB/z9STt8/W49DCi0njUhBAdvPMPuq08wa180CtcwmVuNW9GEQiFOnDgBrVaLI0eOwMvLOAAaPMvLw+K0NETmsJ8y3haK8L6DA37z8sJ+H1+8K7Ez+QvV0JPJzc2tyCcVqmLQwEBRlYTL5aBBLSk+bO+PdkHOrH0pslxk5OSvId3S19GoJ9SSY/fRe/V5LD56D2ly9gR4VYHH46FHjx5ISkqCWq3G+++/b/axvQrUb9e1scH3tWrhqH8ARtg7QGSizSUtLQ0SiQR8Ph9Lly4tca1tquxoYKCoasBDKkT0N92w48NWmPKO8SJY5x+l4/azbKw78xjWhbqH5qi1yNNV3RMFn8/H9u3bodVqcejQoRKrfr5JTcG0Z88QrVIx22pbW+NLNzdEBARiqpOzyVle8/LyMHv2bAgEAjRq1AiqAsdT5YsGBoqqJmyseWgb6IxW/uwBdRqtHoaapPoednCwZffa2XH5CQaGx2PM5iuIfppVSbk1ZmiwViqVkMvlRU6ZowdwQiHH0KREjEpKxJkC1URSHg+TnJ1x0j8Ag4qZcicmJgYikQgSiQTLli2jTxHlrFSBISsrCxs2bMCcOXOQkZEBALh+/brZfZ8pijIf34qLI9Pa4+rXoVg+yHjNkwtxL6HWEpyLfQlhoQbr3DwdctTlMwOrJcRiMbKysiCXy42mwS/oqkqFSc+eom98PA5mZyPvVQS04XLx0IwBdwqFgq4RUQEsDgzR0dGoU6cOli5diuXLlyMrKwsAsH//fsyZM6e880dR1CvOYgHq1zLuf+7lIISTiIfa9jYIdGVPHX4sJgVNF5zA+xsu4tLjl5WVVYZYLEZKSgqUSmWxvRsfadT4MiUZYY/jsCUjA2cVCtwqtJhQV7EEI+wdICliemzDGhFWVlbo2rUrrWoqA4sDw2effYYxY8bg0aNHrPmHevbsibNnz5Zr5iiKKtnCvg2wfZAPDnzcxqgL7OkHadDo9Pg39iX0hZoh9HoCfeGNFUQoFCIhIQFKpRKNGzcuMl2KVotlL9Lw0bOnRvsmOTnhSzc3RAYEYqGbOxoWM//ZyZMnIRKJIJVK6VNEKVgcGK5cuYKJEycaba9du3axq6RRFFVxOBwOnGyNRwx7OghR214IscAKLXzZc51dis9A68UR+Prgbdx5nl0p+RQKhbh16xbUajU6duxo9nFBfAHqvgoEQi4XA+zt8YePL/b5+GKovT3ERTxFyGQy+hRRChYHBoFAwCx9WdDDhw/h4uJSLpmiKKp8zAiri/Oz3sHJzzrCmsf+cz9+JwVpcjW2X0xCbFrljhPg8/mIjIyEWq3GyJEjS0z/SKNGn/jH2JGZCXmBX//1bGww180dZwIC8a27B5oW0yPK8BRBG6xLZnFg6NOnDxYsWMAsAMLhcJCUlIRZs2ZhwIAB5Z5BiqLKhsPhmFzXWqPTg2/FhTWPg3fqsqfveJqpxOKj93A/xfhHYHni8/n4/fffodVq8dVXXxW7vGasRoNv01LRKS4W/0tJZnV3FXK56C+VYouXN+xLmPOoYIP1O++8QwOECRYHhh9++AEKhQKurq5QqVTo2LEjAgMDIZFI8O2331ZEHimKqgDf9W+E6//rim3jWsHOhj0z6p83n2PdmcfovvIctl9MrPC88Hg8LFq0CBqNBkeOHIGTk1ORaVWEYF92NoYmJaJ/Qjx2ZGZC9uopIkIuR1ah9gQva2sUNVXhuXPn0KRJExogCjF7oR4DqVSKEydO4Pz584iOjoZCoUCzZs0QGhpaEfmjKKoCiQVWaO1vfBM+dOs58+9OwewqYr2egMNBhayFbRhRnZ6eDpVKhd69eyMiIqLI9A/UanyblorlL9LQTSJBQqGbO5/DwR8+vsjW6bA3OwsHs7ORbqIh+ty5cxAIBBgwYAB279792s+0WhKzpt1+09BptysfLbvSq4iyy8jR4O/o53iUpjBaoe7Pm8/w65nHGNvGF32b1jKavqO8GaYAHzx4sMWNx70kdlhWqxbzPo8QRCoU2JudhX9zclDUKhE7d+7EsGHDypDr6qfcp90uqKglPjkcDmxsbBAYGIgOHTrQP26KqsEcbfkYGeJrct/OS0m4lyzDzH3RcLUToFOwq8l05aXgiGqFQoG33noLcXFxZh2bptUiKicHIba2AABrDgddJRJ0lUiQpNHgl5fp+FsmMwoQw4cPx/fff4/r16+X89XUDBYHhh9//BEvXryAUqlklvrMzMyESCSCWCxGWloa/P39cfr06WJnXqQoquZRaXRQa/Nvo0GuYnSsw65mIoRUSBWTgVgsRmxsLLNGxNKlS5nZF0y5rFLi8lMlvKytMUAqRX+pPVys8m973nw+lnrUwnhHJ6x48cJoFtgbN26Az+dDoVBUyepyVcnixufvvvsOLVu2xKNHj/Dy5Uu8fPkSDx8+RKtWrbBq1SokJSXB3d0dn376aUXkl6KoKiTk83Bwclsc+LgN5vdpYLymxLH7mLM/Gk8yjNdgKE+GNSJevnwJtVqNxYsXw7rQ0qIFPcnLw8r0dHSJi8XUZ09xMee/dSACBQL0sJOYPC4vLw8CgQBffPFFuV9DtUYs5O/vT27cuGG0/fr168TPz48QQsi///5L3N3dSzzXmjVrSKNGjYhEIiESiYS0bt2aHDlypMj069evJ+3atSP29vbE3t6edOnShVy6dImVZvTo0QQA6xUWFmbRNWZnZxMAJDs726LjtFotuXfvHtFqtRYdR9GyK4vqUnapMhWp89UR4jPrMGk49xjJUedVeh7kcjnx9/c3ugeYer0tFJGd3j4kKjCIOPJ4Jabv3bt3pV9PebLkvmbxE0NycjK0WuNJubRaLTPyuVatWpDL5SWey9PTE0uWLMG1a9dw9epVdO7cGX379sWdO3dMpo+MjMSwYcNw+vRpREVFwcvLC926dTOavK979+5ITk5mXuHh4ZZeJkVRFrqXLAf/1SC6IS29IOJbXFNdZmKxGHFxcWY9RVxWKTE8KREDExOQUainUgCfD+tCT0OHDh1C7969KyTf1Y6lUadnz56kWbNm5Pr168y269evk+bNm5N3332XEELIX3/9RRo2bGjpqQkhhDg4OJANGzaYlVar1RKJREK2bt3KbBs9ejTp27dvqT7bgD4xVD5adqVXncouK0dDVvzzgKTKVKzter2ebDr/mGTlaCo9T3K5nAQEBJj1FAGAOPJ4JDIggGzy9CISLve1eXKo0CeGjRs3wtHREc2bN4dAIIBAIECLFi3g6OiIjRs3AsiP2j/88INF59XpdNi1axdycnIQEhJi1jFKpRJ5eXlwdHRkbY+MjISrqyuCg4MxadIkvHxZ+bNKUtSbSCqyxqdd68BVwh5pfSwmBfMP3UWH70/jwA3jCfIqkqHB2tz5mea7ucPVyhqtbW2xzdsbzoV6WB46dAiff/55RWW3WrD4Wc/d3R0nTpzA/fv38fDhQwBAcHAwgoODmTTvvPOO2ee7ffs2QkJCkJubC7FYjAMHDqB+/fpmHTtr1izUqlWLNbiue/fueO+99+Dn54e4uDh8+eWX6NGjB6KioorsQqtWq6EuMPe7YS4onU5n0ayMOp0Oer2ezuRYCrTsSq+6lx0hBKsiHgEAslV5kPB5VZJXHo+HiIgIaDQahIWF4dy5cybT/ZbxEk2FQjhaWaGOwAYbvbwx+kkSa0T1ihUr0KpVqxo1DZAlZV7lA9w0Gg2SkpKQnZ2NvXv3YsOGDThz5kyJwWHJkiVYtmwZIiMji53G9/HjxwgICMDJkyfRpUsXk2m++eYbzJ8/32j7lStXIBaLTRxhml6vR0ZGBhwdHYud84UyRsuu9GpC2aUq8rDtRibScvKwNKwWqzdTno7AilsxI6mLo9Fo0L9/fzx+/Nhon7e1NTZ6eaP2qzaKe7m5GP0kCQo9e8RDTExMjRmzpVAo0LJlS7MGuJUqMDx9+hR//fUXkpKSjOYXWbFihaWnYwkNDUVAQADWrVtXZJrly5dj0aJFOHnyJFq0aFHiOV1cXLBo0SKT04UDpp8YvLy8kJGRYfHI59jYWAQGBtaYL0t1Qcuu9GpS2eXp9EazvC44fA+P0hT4skcw6nmY//dWHnQ6HW7fvo1WrVoZ/aL2srbG717ecHsVHM7lKPDx06comEoqldaYqmqZTAZHR8eKGfkcERGBPn36wN/fH/fv30fDhg2RkJAAQgiaNWtW6kwb6PV61k26sGXLluHbb7/F8ePHzQoKT58+xcuXL+Hh4VFkGkNbSWE8Hs/iPzQul1uq4yhadmVRU8qucP4ev1Bgx6UkaPUEQ9ZfwsUvu0BiU3RPoopga2sLtVqNgIAAJCb+N2Hgk7w8jH3yBDu8veFgZYX2tmLMcHHFkhdpTJrs7Gy8/fbbuHbtWqXmuTQs+W5Y/Nw5Z84cfPHFF7h9+zZsbGywb98+PHnyBB07dsSgQYMsPtfZs2eRkJCA27dvY86cOYiMjMT7778PABg1ahRrudClS5fif//7HzZt2gRfX1+kpKQgJSUFileLiSsUCsyYMQMXL15EQkICIiIi0LdvXwQGBiIsLMzSS6UoqoK9zNHAwz6/ofrD9v6VHhQKSkhIQNOmTdnb8jSY9vwZsxb1KEdH9C70a/v69euv34BeS7s8icViEhsbSwghxN7ensTExBBCCLl58ybx8fGx6FwffPAB8fHxIXw+n7i4uJAuXbqQf/75h9nfsWNHMnr0aOa9j4+Pye5l8+bNI4QQolQqSbdu3YiLiwuxtrYmPj4+ZPz48SQlJcWifNHuqpWPll3p1fSyy83Tkk3nHxsNiNPp9ORI9HOi1ekr7LNNlV2zZs2M7jEDpFJyN7guuRtclyz3qGXyPrRnz54Ky2d5sOS+ZnFVkq2tLdOu4OHhgbi4ODRo0AAAkJ6ebtG5DN1bixIZGcl6n5CQUGx6oVCI48ePW5QHiqKqlsCKh7Ft/Yy277/xDF/suYX6HnZY2K8hmvs4mDi6/F27dg3NmjXDjRs3mG37srPR0MYGCRoNfs/MNHnc8OHD0b9//2pfnWcOi6uSWrdujfPnzwMAevbsic8//xzffvstPvjgA7Ru3brcM0hR1JtHrdVh+fEHAIC7yTKo8yq3e+v169fh6+vL2jY/NRVbMzNRVG+dvLw8DB06tMLzVhksDgyG/rsAMH/+fHTp0gW7d++Gr69viU8AFEVR5hBY8bBiSBM0qGWHLnVd0SbQudLzEB8fb1GvRADYu3cv9u7dW0E5qjwWVyX5+/sz/7a1tcWvv/5arhmiKIoCgDYBzjg0pR3kucZzs62OeARvJxH6NKlVoeMfMjIyYGVl+jbZUijCBCcnfPLsKVQFev2///77Nb5KyeInBn9/f5P9drOyslhBg6Ioqqy4XA6kInZPpeinWfjx5ENM23UTk7ZfB6nAMbo8Hg+7du0y2j7M3h5bvb3R1tYWn7qw16TQaDQmB8zWJBYHhoSEBJNDq9VqtdEspxRFUeXtWEwK9K9iQWMvaYWPmB4yZIjR/G0XcnKgejUKeoSDI1oKRaz9CxcurLZTlJjD7Kqkv/76i/n38ePHIZVKmfc6nQ4RERFGjTUURVHlbWb3umjiZY/wy0kY375yainOnTsHPp8P/atgkJiXh5XpLzDH1Q0AsNDdHf0S4pFb4Omlfv36ePDgQaXkr7yZHRj69esHIH8+k9GjR7P2WVtbw9fX1+IZVSmKokojrIE7whq4G21PeqmEu9QGfKvynTOKx+Nh586drF5H2zMz0U0sQXORCN58PiY7O+OHFy+Y/Q8fPkR4eDiGDRtWrnmpDGaXnl6vh16vh7e3N9LS0pj3hiksHjx4gF69elVkXimKoor0NFOJQesuYNa+6AppdyhcpUQAzE1NgebVU8QYB0fULzS1zvDhw2tklZLFYTU+Ph7OzpXfdYyiKKoohBBM3HYNqTI1Dtx4ht/OGc+YWh7OnTvHmsE2XqPB2ledcXgcDha5exhVw5i7jEB1YlZV0k8//WT2CT/55JNSZ4aiKKo0OBwOpnYOwqQd1xDoIkYLX8eSDyoFU1VKGzNeIkwiQV0bG9S1scFYR0f8lpHB7K+JVUpmTbvt52c8XN3kyTgck3Ob1zQymQxSqdSs6WkL0ul0ePToEYKCgmp0H+aqQMuu9GjZ/ef0gzS0CXCCwMq8ciht2YWEhODixYvM+wYCG+zy8QGPw4FMp0OXx3HIKbB2A4fDQV5eXpX+/7HkvmbWE0N8fHy5ZIyiKKoivRPsWimfc/78eVhbWzNtGXfUufg9MwONbYT4X0oKKygA+VVd7du3x4ULFyolf2VVpqZ7QkiFDi6hKIqqjng8HsLDw1nbVqanY9STJCTkaUweExUVhT/++KMysldmpQoMv//+Oxo1agShUAihUIjGjRtj27Zt5Z03iqKoUpPn5uFRqrzCzj9kyBDWxKF5hBQ5wZ7BsGHDakQvpVJNojdp0iT07NkTf/zxB/744w90794dH330EX788ceKyCNFUZTZCCHotfocGs//BxO2VezKaufPny9y5LWAw0HfQnX5er0e7du3r9A8lQeLJ9FbvXo11q5di1GjRjHb+vTpgwYNGuCbb755/VYyoiiqRuFwONDqCAjJH9ug1xNwuRUzbYahSqnwdNvNhEIscveAL58PNSE4Jv/vycVQpTR48OAKyVN5sPiJITk5GW3atDHa3qZNGyQnJ5dLpiiKosqiiac9Wvg4oGcjD6gqeC2HIUOGGI1VcOZZwZfPBwB86eoGKZd9q63uVUoWB4bAwECTDSi7d+9GUFBQuWSKoiiqLJYObIy9k9pg1dCmsBVYXDFisYKrvQHAPwo5Tr56SnC2ssLMV3MqGVT3KiWLS2z+/PkYMmQIzp49i7Zt2wIA/v33X0RERNSYFneKoqjyxOfz8emnn7LaWRempuJtkQh2PB76S6X4W5aNC0ols786VymZ/cQQExMDABgwYAAuXboEZ2dnHDx4EAcPHoSzszMuX76M/v37V1hGKYqiqrMVK1bA09OTef9Cp8XyF2nM+2/c3CEq1FBdXedSMjswNG7cGK1atcJvv/2GOnXqYPv27bh27RquXbuG7du3o2nTphZ/+Nq1a9G4cWPY2dnBzs4OISEhOHr0aLHH7NmzB3Xr1oWNjQ0aNWqEI0eOsPYTQjB37lx4eHhAKBQiNDQUjx49sjhvFEVRloqLi2O935udjUvKHACAJ5+Pqc7sRX10Ol21XCfa7MBw5swZNGjQAJ9//jk8PDwwZswYnDt3rkwf7unpiSVLluDatWu4evUqOnfujL59++LOnTsm01+4cAHDhg3DuHHjcOPGDfTr1w/9+vVjnmYAYNmyZfjpp5/w66+/4tKlS7C1tUVYWBhyc3PLlFeKoqiSGKqUCpqXkoLcVyOhRzo4oLGNDWv/3r17odGYHhRXZYiFFAoF2bRpE+nQoQPhcDgkKCiILFmyhCQnJ1t6KpMcHBzIhg0bTO4bPHgweffdd1nbWrVqRSZOnEgIIUSv1xN3d3fy/fffM/uzsrKIQCAg4eHhZuchOzubACDZ2dkW5V2r1ZJ79+4RrVZr0XEULbuyoGVXehVVdp6engT5M3MTAOQDR0dyN7guuRtclxz09SXWBfYBIPXr1y/XzzfFkvuaxb2SbG1tMXbsWJw5cwYPHz7EoEGD8Msvv8Db2xt9+vQpdYDS6XTYtWsXcnJyjJbRM4iKikJoaChrW1hYGKKiogDkz+mUkpLCSiOVStGqVSsmDUVRVEUrXKW0NSMDd3JzodHrcVQmNxohfffu3WrVeadM/bgCAwPx5ZdfwsfHB3PmzMHff/9t8Tlu376NkJAQ5ObmQiwW48CBA0XOX56SkgI3N3a3Lzc3N6SkpDD7DduKSmOKWq2GWq1m3stkMgD5wcqShiGdTge9Xl8tG5OqO1p2pUfLrvQqqux4PB6mT5+OlStX5n8OgDnJz6FD/hoOpowYMQL9+vWrsBlYLbnGUgeGs2fPYtOmTdi3bx+4XC4GDx6McePGWXye4OBg3Lx5E9nZ2di7dy9Gjx6NM2fOVOriFosXL8b8+fONtsfFxUEsFpt9Hr1ej4yMDMTGxrIW86BKRsuu9GjZlV5Flt3EiRMRHh6O1NRUAEBsCe0IeXl5+PTTTzF16tRyzYeBQqEwO61FgeH58+fYsmULtmzZgtjYWLRp0wY//fQTBg8eDFtbW4szCuQ31gQGBgIAmjdvjitXrmDVqlVYt26dUVp3d3emkA1SU1Ph7u7O7Dds8/DwYKV56623iszDnDlz8NlnnzHvZTIZvLy8EBAQYPF6DLGxsQgMDHzj58W3FC270qNlV3oVXXbx8fEQiURmp1+/fj1+/PHHCsmLoSbEHGYHhh49euDkyZNwdnbGqFGj8MEHHyA4OLhUGSyOYQ1pU0JCQhAREYHp06cz206cOMG0Sfj5+cHd3R0RERFMIJDJZLh06RImTZpU5GcKBAIICq3VCuQ/Dlr6P4jL5ZbqOIqWXVnQsiu9iiw7oVCIgQMHYu/evaztIg4XHzg6opGNDSY+e8ps12q1iIyMRLdu3co9L5Zcn9mBwdraGnv37kWvXr3KrQDnzJmDHj16wNvbG3K5HDt37kRkZCSOHz8OABg1ahRq166NxYsXAwCmTZuGjh074ocffsC7776LXbt24erVq1i/fj2A/Mmzpk+fjkWLFiEoKAh+fn743//+h1q1aqFfv37lkmeKoihL7Nq1i7WoDwD86umJFq+eJDrY2uJsTg6z74MPPsDTp0+NzlOZzK5U++uvv9C3b99yjappaWkYNWoUgoOD0aVLF1y5cgXHjx9H165dAQBJSUmsifnatGmDnTt3Yv369WjSpAn27t2LgwcPomHDhkyamTNnYurUqZgwYQJatmwJhUKBY8eOwaZQ32GKoqjKwOPx8PXXX7O2bcvMZP49wcmJte/Zs2dV3kPJrDWf3zR0zefKR8uu9GjZlV5llZ1OpwOfz4f+1UA3DoA/ff0Q+KoKe2RSIq6pVEx6sViMrKyscs2TJfc12oWBoiiqgvF4PHz11VfMewLgt4yXzPuJhZ4aFAoFIiMjKyl3xmhgoCiKqgTz5s1jPQEckcnw5FUX1na2YgS8Wr/B4JdffqnU/BVEAwNFUVQl4PF4+PLLL5n3OrDbGobaO7DSHzp0qMoGLdLAQFEUVUnmzZvHWiP6T1k2lK/aHfra2bGm5dZqtVi4cGGl5xGggYGiKKrS8Hg8jBo1inkv1+tx+NXAMzGPh152Ulb677//vkqeGmhgoCiKqkSGcVcGu7Lyq5MUOh0cCvVCUiqVVdIITQMDRVFUJeLz+WjdujXz/r5ajY+ePkGHuFisK9BTyeDUqVOVmT0ANDBQFEVVukWLFrHen83JQW4RQ8oOHDhQGVlioYGBoiiqknXq1An8Qt1Ti3Lv3r1KX+GNBgaKoqhKxuPx0KtXL5P7bDgcSAtNAT5hwoTKyBaDBgaKoqgq8PHHH7Pee1lb46datfFvYBA+cGSPhA4PD6/U3kk0MFAURVWBTp06sab7l+v1eEcshpDLRaiEvUCYRqOp1N5JNDBQFEVVAR6Ph5kzZzLvs3Q6ZiI9P74A/oXaICqzdxINDBRFUVWk8EjoCIWc+XeXQssKnzt3rtLyRQMDRVFUFeHxeGjXrh3z/nSBdZnb2bIDw5UrVyqtnYEGBoqiqCrUvn175t9P8/KQ+Kpr6ltCIUSc/27Rubm5ldbOQAMDRVFUFercuTPr/YVXy3xaczhoKRKy9q1Zs6ZS8kQDA0VRVBUq3DvpgvK/9Z/bSSQAAO6rcQ1HjhyplOokGhgoiqKqEI/Hw7vvvsu8v6RUQvtqeozWNvlPDIYG6sqqTqKBgaIoqooVHOym0OtxOze/26qIy4WIw2U9Jbz2gWHx4sVo2bIlJBIJXF1d0a9fPzx48KDYYzp16gQOh2P0Khhxx4wZY7S/e/fuFX05FEVRpdKpUycIhf+1JyxMTUVoXCy6PI6DkuhZafV6feHDy12VBoYzZ85g8uTJuHjxIk6cOIG8vDx069YNOTk5RR6zf/9+JCcnM6+YmBjweDwMGjSIla579+6sdOHh4RV9ORRFUaXC4/EwcOBA5v19tRrPtVqTaZ88eVLh+bGq8E8oxrFjx1jvt2zZAldXV1y7dg0dOnQweYyjoyPr/a5duyASiYwCg0AggLu7e/lmmKIoqoJ4eXmZ3G5nZwepVMoEhH379mHz5s3gFVrUpzxVaWAoLDs7G4Dxzb84GzduxNChQ2Fra8vaHhkZCVdXVzg4OKBz585YtGgRnJycTJ5DrVZDrVYz72WvltrT6XQW9QDQ6XTQ6/VVtoB3TUbLrvRo2ZVeTSg7mUzG3JOA/FXdIiIi0KVLF4vOY8k1VpvAoNfrMX36dLRt2xYNGzY065jLly8jJiYGGzduZG3v3r073nvvPfj5+SEuLg5ffvklevTogaioKJNRdvHixZg/f77R9ri4OIgLDUsv6RoyMjIQGxvLdC+jzEPLrvRo2ZVedSq7wMBA1vt6AgF620nRTCjE8hdpuPpqHiUgf/Eeb29vi86vKDCquiQcQopYNqiSTZo0CUePHsX58+fh6elp1jETJ05EVFQUoqOji033+PFjBAQE4OTJkyajrKknBi8vL2RkZMDOzs7sa9DpdIiNjUVgYGCFPua9jmjZlR4tu9KrTmWn0+kglUqRm5sLkUiEUCtrLPHwAADs4nGx4O5dJm3//v2xZ88ei84vk8ng6OiI7OzsEu9r1eKJYcqUKTh8+DDOnj1rdlDIycnBrl27sGDBghLT+vv7w9nZGbGxsSYDg0AgYA0wMeDxeBZ/WbhcbqmOo2jZlQUtu9KrLmXH4/EwZMgQbN26FUqlErcLzK7qlJVfzc7lcqHX63HmzBnmGEvOb64qfXYihGDKlCk4cOAATp06BT8/P7OP3bNnD9RqNUaMGFFi2qdPn+Lly5fweBV9KYqiqqOuXbsy/07QaJCjz28XaGBjA+C/rqoZGRkVOttqlQaGyZMnY/v27di5cyckEglSUlKQkpICVYG6tFGjRmHOnDlGx27cuBH9+vUzalBWKBSYMWMGLl68iISEBERERKBv374IDAxEWFhYhV8TRVFUadWuXZv5NwFwNze/iruWtTUcCv3if/bsWYXlo0oDw9q1a5GdnY1OnTrBw8ODee3evZtJk5SUhOTkZNZxDx48wPnz5zFu3Dijc/J4PERHR6NPnz6oU6cOxo0bh+bNm+PcuXMmq4soiqKqi/bt28Pe3p55fyc3l/n3245OrN6XqampFZaPKm1jMKfd29Tw7+Dg4CKPFQqFOH78eFmzRlEUVel4PB7eeecdHDhwAFZWVnBu9TbwKBYA4KvT4XhODjgcDgghePHiRYXlg/ZtoyiKqkYMTwVarRZrjv/DbG8iEcPLy4v5UXzhwoUKywMNDBRFUdWIYXyClZUVnhE9FK8GpgXxrPDkyROmd1F0dHSFDcyjgYGiKKoaMSzco9VqkafVIjYvDwBQ29oattz/ZlrNysqqsJ5J1WIcA0VRFJWvU6dOkEgkkMvlAIA/s7MQpbDCI40aHB4PKDC7akX1TKJPDBRFUdUIj8dD//79AeQv0LM7KwurX6bjmFwOxaunB0N1UkX1TKKBgaIoqpoxzABReLSys7Mzxo0bB8mrJT///fffCvl8WpVEURRVzRgm9NNqtbC1tYW1tTWysrKQnp7OmjT01KlT0Ol05T6dB31ioCiKqmY6derE/DsnJweyrCz4WFvjHVsxHBwcmC6tFdUATZ8YKIqiqpmCDdB2dnZY7eSMlq8m1Qt59BA5ej2srKyg1WorpAGaPjFQFEVVMzweDwMGDACQP132wwLLHdcrMAAOQIWMgKaBgaIoqhoyjGfgcDh4rPlvvRhPLhdSqZRpgC5qZcqyoFVJFEVR1dDLly8B5M8pl1pgdTkfPh/ZBZ4SDOnKE31ioCiKqoYMTwJCoRD3ZXJmu481Hw4ODkxPpMePH5f7Z9PAQFEUVQ0ZngRUKhVUtiJoXk2e58vnIzMzk5kaY8eOHeU+ZxINDBRFUdWQi4sL8+/M7GwkaTQAAC9ra9Ryd2fWba6I1dxoYKAoiqqGCq7m5uLiArvgYACAgMtFUy8vyGQyZn95d1mlgYGiKKoaat++PRwcHADkVycdvn6N2Zdx5w74fD7EYjGA8u+ySgMDRVFUNcTj8TBy5EgA+WvZ572qWtLweKjr6QmNRgOFQgGAXe1UHmhgoCiKqqb69OnD/Hvj/ftoH/sIb929g80PH7LSubu7l+vn0sBAURRVzdWqVQsKvR4vC/Q+EovFEIlEAPB6NT4vXrwYLVu2hEQigaurK/r164cHDx4Ue8yWLVvA4XBYLxsbG1YaQgjmzp0LDw8PCIVChIaG4tGjRxV5KRRFUeUuLS0NAPD8+XOIRCJm1lUgv3pJqVQCANasWVOuXVarNDCcOXMGkydPxsWLF3HixAnk5eWhW7duyCkwL4gpdnZ2SE5OZl6JiYms/cuWLcNPP/2EX3/9FZcuXYKtrS3CwsKQm5tbkZdDURRVrjw8PJh/K5VK6Aus3ubk5MRqfC7Pp4YqnRLj2LFjrPdbtmyBq6srrl27hg4dOhR5HIfDKbJOjRCClStX4uuvv0bfvn0BAL///jvc3Nxw8OBBDB06tPwugKIoqgK1b98ejo6OyMjIgIuLC/bPng39jZuwy1UhePVqDPrwQxw9ehR6vR5Pnjwpt8+tVnMlZWdnAwAcHR2LTadQKODj4wO9Xo9mzZrhu+++Q4MGDQAA8fHxSElJQWhoKJNeKpWiVatWiIqKMhkY1Go11Or/Jqky9A/W6XQWPZ7pdDro9fpyH4X4JqBlV3q07EqvJpRdy5Ytcfz4cdjZ2cH2USxsrlwB4XDw+ciROBIRgT59+uDPP//EhQsXMHz48CLPY8k1VpvAoNfrMX36dLRt2xYNGzYsMl1wcDA2bdqExo0bIzs7G8uXL0ebNm1w584deHp6IiUlBQDg5ubGOs7NzY3ZV9jixYsxf/58o+1xcXHMo5q515CRkYHY2FhWXSBVMlp2pUfLrvRqQtkZfig/efIEvTZsgDUHeK7Vwk0hx4oVK/DHH38AyP9hXVxbqqFrqzmqTWCYPHkyYmJicP78+WLThYSEICQkhHnfpk0b1KtXD+vWrcPChQtL9dlz5szBZ599xryXyWTw8vJCQEAAM+zcHDqdDrGxsQgMDCz3pfZed7TsSo+WXenVhLJr3rw5wsPDodFo4BMSgm7duqF58+aQSqX4/vvvERUVxaQLCgoq8jwFR0qXpFoEhilTpuDw4cM4e/Ysswi2uaytrdG0aVPExsYC+K8/b2pqKqvhJjU1FW+99ZbJcwgEAggEAqPtPB7P4i8Ll8st1XEULbuyoGVXetW97KZOnYrZs2fD1tYWz549Y9Vu+Pj4QCqVIicnB1OnTi32Giy5vip9diKEYMqUKThw4ABOnToFPz8/i8+h0+lw+/ZtJgj4+fnB3d0dERERTBqZTIZLly6xnjQoiqJqAj6fj08//RTZ2dlQq9X47LPP8PPPP+Ozzz5Dbm4usrOz8emnn4L/aunP8lClTwyTJ0/Gzp078eeff0IikTBtAFKpFEKhEAAwatQo1K5dG4sXLwYALFiwAK1bt0ZgYCCysrLw/fffIzExER9++CGA/B5L06dPx6JFixAUFAQ/Pz/873//Q61atdCvX78quU6KoqiyWLZsGQDgxx9/xIoVK5jtVlZWmDFjBrO/vFRpYFi7di2A/IWvC9q8eTPGjBkDAEhKSmI1CmVmZmL8+PFISUmBg4MDmjdvjgsXLqB+/fpMmpkzZyInJwcTJkxAVlYW2rVrh2PHjhkNhKMoiqopli1bhkWLFmHNmjWIi4tDQEAAPv7443J9UjDgEPJq9QeKIZPJIJVKkZ2dbXHj86NHjxAUFFRt6yurK1p2pUfLrvTepLKz5L5WPftnURRFUVWGBgaKoiiKpVp0V61uDLVrlvT7BfIfSxUKBWQy2Wv/WFreaNmVHi270nuTys5wPzOn9YAGBhPkcjkAwMvLq4pzQlEUVb7kcjmkUmmxaWjjswl6vR7Pnz+HRCIBh8Mx+zjDiOknT55Y1GhN0bIrC1p2pfcmlR0hBHK5HLVq1Spx+g/6xGACl8u1eAR2QXZ2dq/9l6yi0LIrPVp2pfemlF1JTwoGtPGZoiiKYqGBgaIoimKhgaEcCQQCzJs3z+SEfFTxaNmVHi270qNlZxptfKYoiqJY6BMDRVEUxUIDA0VRFMVCAwNFURTFQgNDOfnll1/g6+sLGxsbtGrVCpcvX67qLFW6s2fPonfv3qhVqxY4HA4OHjzI2k8Iwdy5c+Hh4QGhUIjQ0FCjNWozMjLw/vvvw87ODvb29hg3bpzRWrXR0dFo3749bGxs4OXlVe5z0VeFxYsXo2XLlpBIJHB1dUW/fv3w4MEDVprc3FxMnjwZTk5OEIvFGDBgAFJTU1lpkpKS8O6770IkEsHV1RUzZsyAVqtlpYmMjESzZs0gEAgQGBiILVu2VPTlVai1a9eicePGzFiEkJAQHD16lNlPy60UCFVmu3btInw+n2zatIncuXOHjB8/ntjb25PU1NSqzlqlOnLkCPnqq6/I/v37CQBy4MAB1v4lS5YQqVRKDh48SG7dukX69OlD/Pz8iEqlYtJ0796dNGnShFy8eJGcO3eOBAYGkmHDhjH7s7OziZubG3n//fdJTEwMCQ8PJ0KhkKxbt66yLrNChIWFkc2bN5OYmBhy8+ZN0rNnT+Lt7U0UCgWT5qOPPiJeXl4kIiKCXL16lbRu3Zq0adOG2a/VaknDhg1JaGgouXHjBjly5AhxdnYmc+bMYdI8fvyYiEQi8tlnn5G7d++S1atXEx6PR44dO1ap11ue/vrrL/L333+Thw8fkgcPHpAvv/ySWFtbk5iYGEIILbfSoIGhHLz99ttk8uTJzHudTkdq1apFFi9eXIW5qlqFA4Neryfu7u7k+++/Z7ZlZWURgUBAwsPDCSGE3L17lwAgV65cYdIcPXqUcDgc8uzZM0IIIWvWrCEODg5ErVYzaWbNmkWCg4Mr+IoqV1paGgFAzpw5QwjJLytra2uyZ88eJs29e/cIABIVFUUIyQ/MXC6XpKSkMGnWrl1L7OzsmPKaOXMmadCgAeuzhgwZQsLCwir6kiqVg4MD2bBhAy23UqJVSWWk0Whw7do1hIaGMtu4XC5CQ0MRFRVVhTmrXuLj45GSksIqJ6lUilatWjHlFBUVBXt7e7Ro0YJJExoaCi6Xi0uXLjFpOnTowFq1KiwsDA8ePEBmZmYlXU3Fy87OBgA4OjoCAK5du4a8vDxW+dWtWxfe3t6s8mvUqBHc3NyYNGFhYZDJZLhz5w6TpuA5DGlel++qTqfDrl27kJOTg5CQEFpupUQDQxmlp6dDp9OxvlQA4ObmxqxhTYEpi+LKKSUlBa6urqz9VlZWcHR0ZKUxdY6Cn1HT6fV6TJ8+HW3btkXDhg0B5F8bn8+Hvb09K23h8iupbIpKI5PJoFKpKuJyKsXt27chFoshEAjw0Ucf4cCBA6hfvz4tt1Kik+hRVDUzefJkxMTE4Pz581WdlRojODgYN2/eRHZ2Nvbu3YvRo0fjzJkzVZ2tGos+MZSRs7MzeDyeUS+H1NRUuLu7V1Guqh9DWRRXTu7u7khLS2Pt12q1yMjIYKUxdY6Cn1GTTZkyBYcPH8bp06dZM/y6u7tDo9EgKyuLlb5w+ZVUNkWlsbOzg1AoLO/LqTR8Ph+BgYFo3rw5Fi9ejCZNmmDVqlW03EqJBoYy4vP5aN68OSIiIphter0eERERCAkJqcKcVS9+fn5wd3dnlZNMJsOlS5eYcgoJCUFWVhauXbvGpDl16hT0ej1atWrFpDl79izy8vKYNCdOnEBwcDAcHBwq6WrKHyEEU6ZMwYEDB3Dq1Cn4+fmx9jdv3hzW1tas8nvw4AGSkpJY5Xf79m1WcD1x4gTs7OxQv359Jk3BcxjSvG7fVb1eD7VaTcuttKq69ft1sGvXLiIQCMiWLVvI3bt3yYQJE4i9vT2rl8ObQC6Xkxs3bpAbN24QAGTFihXkxo0bJDExkRCS313V3t6e/PnnnyQ6Opr07dvXZHfVpk2bkkuXLpHz58+ToKAgVnfVrKws4ubmRkaOHEliYmLIrl27iEgkqvHdVSdNmkSkUimJjIwkycnJzEupVDJpPvroI+Lt7U1OnTpFrl69SkJCQkhISAiz39Dtslu3buTmzZvk2LFjxMXFxWS3yxkzZpB79+6RX375pcZ3u5w9ezY5c+YMiY+PJ9HR0WT27NmEw+GQf/75hxBCy600aGAoJ6tXrybe3t6Ez+eTt99+m1y8eLGqs1TpTp8+TQAYvUaPHk0Iye+y+r///Y+4ubkRgUBAunTpQh48eMA6x8uXL8mwYcOIWCwmdnZ2ZOzYsUQul7PS3Lp1i7Rr144IBAJSu3ZtsmTJksq6xApjqtwAkM2bNzNpVCoV+fjjj4mDgwMRiUSkf//+JDk5mXWehIQE0qNHDyIUComzszP5/PPPSV5eHivN6dOnyVtvvUX4fD7x9/dnfUZN9MEHHxAfHx/C5/OJi4sL6dKlCxMUCKHlVhp0dlWKoiiKhbYxUBRFUSw0MFAURVEsNDBQFEVRLDQwUBRFUSw0MFAURVEsNDBQFEVRLDQwUBRFUSw0MFAURVEsNDBQVCmMGTMG/fr1q/TP3bJlCzgcDjgcDqZPn27WMWPGjGGOKbzcKkWZQqfdpqhCOBxOsfvnzZuHVatWoaomDbCzs8ODBw9ga2trVvpVq1ZhyZIl8PDwqOCcUa8LGhgoqpDk5GTm37t378bcuXPx4MEDZptYLIZYLK6KrAHID1yWTDEulUohlUorMEfU64ZWJVFUIe7u7sxLKpUyN2LDSywWG1UlderUCVOnTsX06dPh4OAANzc3/Pbbb8jJycHYsWMhkUgQGBiIo0ePsj4rJiYGPXr0gFgshpubG0aOHIn09HSL87xmzRoEBQXBxsYGbm5uGDhwYFmLgXqD0cBAUeVk69atcHZ2xuXLlzF16lRMmjQJgwYNQps2bXD9+nV069YNI0eOhFKpBABkZWWhc+fOaNq0Ka5evYpjx44hNTUVgwcPtuhzr169ik8++QQLFizAgwcPcOzYMXTo0KEiLpF6Q9CqJIoqJ02aNMHXX38NAJgzZw6WLFkCZ2dnjB8/HgAwd+5crF27FtHR0WjdujV+/vlnNG3aFN999x1zjk2bNsHLywsPHz5EnTp1zPrcpKQk2NraolevXpBIJPDx8UHTpk3L/wKpNwZ9YqCoctK4cWPm3zweD05OTmjUqBGzzbCYvGGlsFu3buH06dNMm4VYLEbdunUBAHFxcWZ/bteuXeHj4wN/f3+MHDkSO3bsYJ5KKKo0aGCgqHJibW3Nes/hcFjbDL2d9Ho9AEChUKB37964efMm6/Xo0SOLqoIkEgmuX7+O8PBweHh4YO7cuWjSpInROscUZS5alURRVaRZs2bYt28ffH19YWVVtj9FKysrhIaGIjQ0FPPmzYO9vT1OnTqF9957r5xyS71J6BMDRVWRyZMnIyMjA8OGDcOVK1cQFxeH48ePY+zYsdDpdGaf5/Dhw/jpp59w8+ZNJCYm4vfff4der0dwcHAF5p56ndHAQFFVpFatWvj333+h0+nQrVs3NGrUCNOnT4e9vT24XPP/NO3t7bF//3507twZ9erVw6+//orw8HA0aNCgAnNPvc7oms8UVYNs2bIF06dPL1X7AYfDwYEDB6pkKg+qZqFPDBRVw2RnZ0MsFmPWrFlmpf/oo4+qdKQ2VfPQJwaKqkHkcjlSU1MB5FchOTs7l3hMWloaZDIZAMDDw8PsOZaoNxcNDBRFURQLrUqiKIqiWGhgoCiKolhoYKAoiqJYaGCgKIqiWGhgoCiKolhoYKAoiqJYaGCgKIqiWGhgoCiKolhoYKAoiqJY/g8dUD4ga5ErjQAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "current_driven.plot_fit_results()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2024-09-06T18:20:52.109426Z", "start_time": "2024-09-06T18:20:52.107535Z" } }, "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" }, "orig_nbformat": 4, "vscode": { "interpreter": { "hash": "938a56cf8cc78a970178b6cd91dbc2084cfe03b4ddf365fda3eb6d44738b4092" } } }, "nbformat": 4, "nbformat_minor": 2 }