{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Looping through and fitting multiple impedance data sets" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import glob\n", "import numpy as np\n", "import os" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Find all files that match a specified pattern" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Using a search string to find .z files that contain \"Circuit\" at the beginning and EIS towards the end" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['../../../data/Circuit3_EIS_1.z',\n", " '../../../data/Circuit1_EIS_2.z',\n", " '../../../data/Circuit2_EIS_1.z',\n", " '../../../data/Circuit3_EIS_2.z',\n", " '../../../data/Circuit1_EIS_1.z',\n", " '../../../data/Circuit2_EIS_2.z']" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "directory = r'../../../data/'\n", "all_files = glob.glob(os.path.join(directory, 'Circuit*EIS*.z'))\n", "all_files" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2. Use preprocessing module to read in ZPlot data" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(6,) (6,)\n" ] } ], "source": [ "from impedance_extend import preprocessing\n", "# Initialize some empty lists for the frequencies and Z data\n", "freqs = []\n", "Zs = []\n", "\n", "# Now loop through file names in our list and extract data one by one\n", "for filename in all_files:\n", " f, Z = preprocessing.readZPlot(filename)\n", " freqs.append(f)\n", " Zs.append(Z)\n", "\n", "# Check to see if we extracted data for all the files\n", "print(np.shape(Zs), np.shape(all_files))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Create a list of circuit models" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "from impedance_extend.models.circuits import CustomCircuit\n", "# This data comes from dummy circuits I made to check measurement bias in\n", "# our potentiostat, so I know a priori its an R-RC circuit\n", "\n", "circuits = []\n", "\n", "circ_string = 'R0-p(R1,C1)'\n", "initial_guess = [100, 400, 1e-5]\n", "\n", "# Now loop through data list to create circuits and fit them\n", "for f, Z, filename in zip(freqs, Zs, all_files):\n", " name = filename.split('/')[-1]\n", " circuit = CustomCircuit(circ_string, initial_guess=initial_guess, name=name)\n", " circuit.fit(f, Z)\n", " circuits.append(circuit)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now have a list of our circuit class objects, all fit to different sets of\n", "data. As you may notice from the file names, there are three unique circuits\n", "each with a replicate set of data. We expect each of the replicates to fit\n", "similarly." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Name: Circuit3_EIS_1.z\n", "Circuit string: R0-p(R1,C1)\n", "Fit: True\n", "\n", "Initial guesses:\n", " R0 = 1.00e+02 [Ohm]\n", " R1 = 4.00e+02 [Ohm]\n", " C1 = 1.00e-05 [F]\n", "\n", "Fit parameters:\n", " R0 = 1.51e+03 (+/- 2.62e+00) [Ohm]\n", " R1 = 4.63e+03 (+/- 3.14e+00) [Ohm]\n", " C1 = 2.02e-08 (+/- 5.39e-11) [F]\n", "\n", "\n", "Name: Circuit1_EIS_2.z\n", "Circuit string: R0-p(R1,C1)\n", "Fit: True\n", "\n", "Initial guesses:\n", " R0 = 1.00e+02 [Ohm]\n", " R1 = 4.00e+02 [Ohm]\n", " C1 = 1.00e-05 [F]\n", "\n", "Fit parameters:\n", " R0 = 2.91e+01 (+/- 3.58e-02) [Ohm]\n", " R1 = 4.67e+01 (+/- 4.64e-02) [Ohm]\n", " C1 = 1.04e-05 (+/- 2.91e-08) [F]\n", "\n", "\n", "Name: Circuit2_EIS_1.z\n", "Circuit string: R0-p(R1,C1)\n", "Fit: True\n", "\n", "Initial guesses:\n", " R0 = 1.00e+02 [Ohm]\n", " R1 = 4.00e+02 [Ohm]\n", " C1 = 1.00e-05 [F]\n", "\n", "Fit parameters:\n", " R0 = 1.50e+02 (+/- 3.23e-01) [Ohm]\n", " R1 = 5.02e+02 (+/- 3.57e-01) [Ohm]\n", " C1 = 3.12e-08 (+/- 7.79e-11) [F]\n", "\n", "\n", "Name: Circuit3_EIS_2.z\n", "Circuit string: R0-p(R1,C1)\n", "Fit: True\n", "\n", "Initial guesses:\n", " R0 = 1.00e+02 [Ohm]\n", " R1 = 4.00e+02 [Ohm]\n", " C1 = 1.00e-05 [F]\n", "\n", "Fit parameters:\n", " R0 = 1.51e+03 (+/- 2.68e+00) [Ohm]\n", " R1 = 4.63e+03 (+/- 3.21e+00) [Ohm]\n", " C1 = 2.02e-08 (+/- 5.52e-11) [F]\n", "\n", "\n", "Name: Circuit1_EIS_1.z\n", "Circuit string: R0-p(R1,C1)\n", "Fit: True\n", "\n", "Initial guesses:\n", " R0 = 1.00e+02 [Ohm]\n", " R1 = 4.00e+02 [Ohm]\n", " C1 = 1.00e-05 [F]\n", "\n", "Fit parameters:\n", " R0 = 2.91e+01 (+/- 3.63e-02) [Ohm]\n", " R1 = 4.67e+01 (+/- 4.69e-02) [Ohm]\n", " C1 = 1.04e-05 (+/- 2.95e-08) [F]\n", "\n", "\n", "Name: Circuit2_EIS_2.z\n", "Circuit string: R0-p(R1,C1)\n", "Fit: True\n", "\n", "Initial guesses:\n", " R0 = 1.00e+02 [Ohm]\n", " R1 = 4.00e+02 [Ohm]\n", " C1 = 1.00e-05 [F]\n", "\n", "Fit parameters:\n", " R0 = 1.50e+02 (+/- 3.19e-01) [Ohm]\n", " R1 = 5.02e+02 (+/- 3.53e-01) [Ohm]\n", " C1 = 3.12e-08 (+/- 7.70e-11) [F]\n", "\n" ] } ], "source": [ "for circuit in circuits:\n", " print(circuit)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we'll get the impedance predicted by the fit parameters" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "fits = []\n", "for f, circuit in zip(freqs, circuits):\n", " fits.append(circuit.predict(f))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4. Plot the data and fits \n", "Now we can visualize the data and fits. For now we'll place them all on the same axis" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "from impedance_extend.visualization import plot_nyquist, plot_bode" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "for fit, Z in zip(fits, Zs): \n", " # Plotting data\n", " plot_nyquist(ax, Z)\n", "\n", " # Plotting fit\n", " plot_nyquist(ax, fit)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since the circuits have different orders of magnitude impedance, this looks bad\n", "so let's put each pair of data on separate axes. " ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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5LDsGFg5shtWoAVu20HjZVlps+OVfartqwNZEaJIW6vmQFU6gxenNUN0/QdkfXZfC6bqUuEdilclRB1KaHAb536+bDj+Fvz11AYeuzOL7Q+L4Y/hT+Lkb5harPXe/v/YIalHaX54/lUlvXckRq7JZ1CqWs095lBFdBzB7ZTrPPnQrR6QtYFHDLlx43X0ceUjSfuOJXH9hgy6Mvj60frTiLOv20lznyEd993c9y+K4ke3fvj+FmBuvIDYnm+yYWHL+/hg9ThzIvNcewP/8bF6OtrsupNsZN+83dxe1ffUVZ3DY0SP47oHbaDP7x7wnR9Y3i2NnYiwNU/eStC1/js+Kgc11w8PEeGg/a685gxPH/LWQ/zUVR3XLEZXxfAvpkVhu+cnM7gUGufvR+1luwFrgEXe/J9xWi1Ax8UZ3H29mnYDFwG/cfVp4nd8QKmoe5u7fm9nlwP1AU3ffHV7nDuByoOWv9UqMZg6L/Bs/Gu/H+8s1JdlXcbf5tfffyG0KDudQ1nFVtH0dOuR8kpOT2TV5AiuuvxvPAYuB5HFjqZ0yKm/9A+WO7FhYPqIPTVoexp7XJ9F06R5iCHVE2VFnXy/QXKGelbCyc23aDTuTdsMv4JO3nirXnu6V8f0wWqrzuUPF7ZGoQmIxVfdf5P2pKNeltAXI7FhYcGxrwIlfv5EWy/fQIOIGZHstWNOpHvX6HMVRo25iyju/nkQqynWpaHRdCqfrokLigZQ2h0H+37P9jQtU3PZoeXn+VD5cNp2hbY/KK3pB6Abvq2Vp9GvbMO/G7tfiyV0/uVYGw/odHvU4y1pJr3PB95D9Xc9oH7egb9+fwprPp9Fi8NH0OHFgXvu81x5g7dSPOHjA8XQ74+a89pLejEbeVO+vgFnwg8TFvRsTn+00/nETjdP35fe9cbAmOY6YDslYvQZsWbeCpH7HVqhHoatbjqiM5xtwIXEx8AHQAjiGUNHwKeBRd3czawv8BPRx928itnsX2OTuF5jZaOCfQL3cgmC4ALmd0OPNz5rZf4CG7j4sYh+9ga+Btu6+fH8xRjuHRdv+ck15KMr7b2X8PxFNkee/a/IEdn3+PrUHn5hXRMxVnJyyZMKT+D3/yCtKctv1xB87goXffMae5++k68K9eUVGh7wPq3Jlx8K660aQcvGdZXbeUL1/9tX53KHyFxIbArtyP3UqQUCl2j6aVEgsG5X9uhSlyOgGq5tAs7TQ2CPZgIWfo95fb8XKfl3Kiq5L4XRdSlxIrDI56kAq+k1YRVOdzhV0vvsrYBaW4yPze47B8taxNEzLpuH20DZOqPC47PwhnHLLI4RqKcGq7j/fyqCQQmK55Sczyx0E9yFgEtAd+Ddwq7s/YmZHEXr0+RB3/zliu2eAFu6eYma3ARe7e9sC+14GPOnufzOzD4HV7j46YnlrYCVwlLvPKLDtGEJjMtKiRYsjv/zyy2JehfzS0tJo2LBhqfZRWVXnc4eyO//U91/FvpmC9x5I0xPPzGuf8/ZjtB3/dl7vxi/O6kE2WbSdtpCOP3veB1G7E2B1l4NoPPQ01m1NY/eCr6jVtT89T74iajFW5599dT53KN/zb9OmTZHvw+KKspK7p5UmoNJuL1LWUkaPhUJ6HaSMHstkyLsBOXH0WJb9vJSvXnmIeu9/TtvVoSQSnwVxz05kdu169BxxTYW44RCpLpSjRASgx4kD8xUQcxWW4wvm91NHj2VP5h4mXTiAI2ftyBtHq93zn/LBl93Y0X8oOYnx+KIZlX7SFik/5ZyfYoBZ7v7H8OtvzawDcCWhiVEC4e5PAE9A6MOwaBSHK1uBOZqq87lD2Zx/8uU3wuU3/rL96geYXKduXp64JuKDqIyID6LWNoI2324lbvbzHER48pkZb/N9nbpRzRXV+Wdfnc8dKub5F6mQKFKdFbwBadu6A21veIzJSfuSCECDdKh553i++PcT7DiqE7GHtGPzvBl8X8jYkSIiIhKsgvm9ZnxNmg45mcy5EY9Ct4ul/c+ZJL/wbt7jbJnTJjI5d3uRimMdofENIy0hNBkKwPrwv00JTQBDxOv1Ees0NjMr8GhzkwLrNC1wnKYRy0SqjKJ8EDV89FimfvMhG+66nk4/Zocm98yCnBdfYvVvhtOyY89AYhcpS0WdtTkfM7vXzGaZWYMC7fFm1jI6oYlUbCmjx5J6/UgWDmzKmptGkvDqf5lxYiv2xjnt3l7MIY+8Tfepm2g2bqJm+hIpR8pRIlJSkbl9/Q0jGfnWQppNfoNFHeMwQn84J2TB7vfepCjDA4lEKuP8NA04tEBbR0KPHAMsJ1ToOz7iuDWBAcD0cNMMoC7QP2If/YE6BdYZEN421/GExmRcUcpzEKkUUkaP5Zzxn+d9oDSg91Dqnr5vhu8cg9ZrnNQzf8eLFx3Nj0vn8fL8qVz0xv28PH9qwNGLlF5JeyQeC8S6++bcBjPrAUwGGprZSmC0u39e+hBFKq6Cn1Id8dCH7M3M5PVz+9Bt3p68T6T2vPUafuGf9MizSPlQjhKREiuY21s1PZTFp51FxriJxGeFJmg5dOEuZpzSizZ/eZzm3fsEF6xUNmWZnx4CppvZ7cDLQA/gD8BtAOEJVx4GbjOz74AfgDuAHcCE8DpLzOwDYHx4bEOA8cA77v59+PUE4M/Ac2b2V0LFyluBu35txmaRqq5gT8WEeo3Y/uzj9Jy2mc1nncO6TkarOjAp+UXg0SJNgiZSUZW0kJgMvFWg7R6gEfAl0Bl4x8y6uftPJQ9PpPKpER9Pg5TfkrEo9GiUOXT8LoMPT+hC+zv+RrsBJwcdokhVl4xylIhEUeQN4u5O7dk872uGztzFpvPOZ+kRDVibGEdS/+P0uLMcSDJllJ/c/RszOw24F/gToceX/wQ8FrHaA0At4FEgCZgJDHX37RHrjCI0Scvk8Ou3gKsijrPVzI4P72MWkA78AxhXnHhFqqJfPAp95hXMnPQvNj/+OCnfOg78dkYm79Z4GlRIlEqspIXEekBq7gszq0+oS/skdz/HzNoD84CbgUtLHaVIJZN7w7FpxkfUPfJoNi78iu5TU9l52c283W8c8b36smXuVxqwXaRsKEeJSNRF3iBu2bOF+1+6ir7/mc2hc9NpBGTO0NiJckBlmp/c/V3g3V9Z7sCd4a/9rZMOnHuA4ywAfjmzkYj8Qt+z/8BXX35MzrqloafVsqHblDlk35BNbExs0OGJlEiJxkgE1hD65CzX0PC+ngBw9x8JfXp1/C83FakeUkaP5ejbX+DUy+7j4kc+Z9e/72VRxzjaT1tP63++SZcvUmmq8RNFykKZ5igza25mz5vZRjPbY2aLzWxQxHIzszvNbK2Z7Tazz83siAL7SDKzF8xsa/jrhfANpYhUAvVr1ufeC15gfft65BB63Dk+C3Z9st8ajgjoHkqkWuo67Bws1skxx81puzSTl8/uyfr1y4IOTaRESlpInA+kmFluCf13wC5gSsQ6y4CDSxGbSJUycOBvOfvVecztnACQN35i+sxPgw1MpOopsxwVLvZNI1Q3GAZ0Aq4GNkSsdjNwQ7i9d3jZR2aWGLHOBKAncEL4qyfwQnHjEZHgmBlt+g0jMzy4PkCbBVv59un7gw1MKjLdQ4lUQ7VTRpE8bixNT+tN6wdu4ft+jeixMIMFZw1jwp0jeOnSwepcIpVKSR9tfgj4AvjEzJYCw4FX3T0rYp26wJ5SxidSpcTGxtDgpDPI/C40YHsMUHvTdjwnB4spaV1fRAooyxx1M7DO3c+PaFue+42FZlS6FrjP3V8Lt11AqJg4itAA9p0IFQ9/4+4zwutcCkw1s0MjBrQXkQoudyiTzTM/YW3T2nT7eAVNxz3HO8vmMfyeCUGHJxWP7qFEqqnaKaOonTIKgNNOvpAPxt1A4+feo8VL83Egc5qGx5DKo0SFRHefamZ3AHcRGh9ja/j7SL2AdaULT6TqyRs/cfpH1FyTxuGLdvHemb054cUpxNaqE3R4IpVeGeeo04APzOxl4BhgLfAU8Gh47Kk2QDPgw4h4dpvZFOAoQrNf9ic0S+b0iP1OA3aG18lXSAzPnDkGoEWLFqxYsaIEYe+TlpZWqu0rk+p0rqDzDcqhQ86HIaHPFhYM+pLlf7uXDq99y0vfdSMzKZE63Y6i58lXlPo4FeV8y0tVPF/dQ4lIrhOu/wcvfzuNLt9szf+kmgqJUgmUtEci7n6vmT0FHAYscve8bG9mbYF+wH9LH6JI1ZM7YPvOPbuZeOVgjp62jU9O6Uv/598i8eC2QYcnUumVYY5qC1xBqFfJfUB3QrNbAjxCqIgIEYPpR7xuEf6+GbAxXHjMjdfNbEPE9pHn8gTh8bN69erlycnJJQg7v2jso7KoTucKOt+gJScns633CUw5azDdFmWQQxqZX73N93XqRqWXSUU737JWFc9X91Aikqv+MSeR8e1EErJCY+Z4rJ5Qk8qhVL+p7r7B3adEJsCwesBzwKul2b9IVVenZi1GPzmDKack03xNNnPOGsY7f7tU42SIREEZ5agYYI67/9Hdv3X3Z4F/AVeWLloRqSrq1WvEjkMakoPGQ5bC6R5KRCDUuST1+pHM79+ADUlw+JR1fPLk7UGHJXJApSokmlmCmSUVbHf3ue5+kbu/XZr9i1QHMTExXPrA+8y6cACJ26Dt81PoPEUzOouUVhnlqHXA4gJtS4DW4e/Xh/9tWmCdphHL1gONw+Mp5sZqQJOIdUSkEkvqdyyZceCEeplkxKuXieyjeygRyZUyeiznPDuNpuOfZXM9aPCv15kx8R9BhyXyq0r0V42ZtTKzTwnNMrbJzLaY2edmNs7MzjWzwyNvkETkwC686Qm+61IbgFiHuGz1YBApiTLOUdOAQwu0dQRWhr9fTqgYeHxEPDWBAewbE3EGocH0+0fsoz9Qh/zjJopIJZXby2TBUQ1JqweHT13Hl+88GXRYEjDdQ4nI/nTq2o96D/6dHbUh/v6nmP/eC0GHJLJfJR0j8TFgMLCK0KDwhxC6SRpI6MNXgN1mNs/djy5tkCLVRcPjTiVz3kTis8EcDurWL+iQRCqjssxRDwHTzex24GWgB/AH4DbIG+vwYeA2M/sO+AG4g9DkKhPC6ywxsw8IzeA8Jrzf8cA7mrFZpOrIHQ950fR32XnljWTdM45VHY+kVceeQYcmwdE9lIjs15FHD+Pzu9LIuONvZP/pXt6e/Tk7V/9EQuc+JF/9QNDhieQp6XMWA4BvgPbuPtTdDyU0psdA4FrgP8AyoHdUohSpJlJGj2X9DSNZ2CkegJz338ezswOOSqTSKbMc5e7fEJq5+WxgIXAP8CdCN4e5HiBUcHwUmAU0B4a6+/aIdUYB84DJ4a95wHnFjUdEKr4jjhpG+lUjaLgV5l91Hnt3bA06JAmO7qFE5FcNPuF80m66mNhMaPfidDpPSaXt+Lc15JVUKCUtJO4FPnf3zNwGd9/p7l+6+7/d/UJ370ro0S0RKYaU0WM5+3/z+WpwQ9ouzeDtS48LOiSRyqZMc5S7v+vu3dy9prt3dPd/FZyB2d3vdPfm4XUGufvCAvtId/dz3b1e+Otcd99S0hMWkYot5aI7WXBKJ9r+nMPkc47WpGrVl+6hROSATh5xAz90qgloyCupmEpaSPyYX44R9QvunlHC/YtUe7/75yfMPSKeDl+u58O/Xhx0OCKViXKUiFQ4o+57nYWHxtPhx2y6fKFJ1aop5ScRKZKGKb8lO1ytcYOkvkOCDUgkQkkLifcAx5pZn2gGIyL71KxRg0GPvM1PLYxmE6cx65VHgg5JpLJQjhKRCimrSX2c0B/g6mFSLSk/iUiRpIwey8przyC1PuQYJCd3DjokkTwlKiS6+2JgJPA/MxtpZrHRDUtEAA5ufghN732YrXUh+75HWTVvatAhiVR4ylEiUlE16H8cmbH7ZtVI6nNMoPFI+VJ+EpHiGD7mr8TcdzcZ8bD2rjvI2rkj6JBEgBIWEs2sKXAZ0AT4L7DezF4xs1vN7DgzS4pmkCLVWe++Q9n8h98TnwnLLxvDSxcN0KNQIr9COUpEKqrcSdV+TI4h1iFz/YqgQ5JypPwkIsU1cPBZfHNiB5qlOpP/MDzocESAkj/a/DhwErCd0EyTMcAZwL2EZp/cZGbLzGxVnstQAAAgAElEQVRSVKIUqeZO/d0tzOvfiEbp0GXaJo2rJPLrlKNEpMJKGT2Wwa9MY3VjaPT6V6Su+C7okKT8KD+JSLENvWQccw6PJ3l6KnNe/EfQ4YiUuJA4BFgAtHb3nu7eEGgDnAncB3wEJBJKjCISBbWI1bhKIkWjHCUiFVq9xPpkjbmAxF3w5S2jgg5Hyo/yk4gUW1xMHF3vfYq0erD7X0+xM3VV0CFJNVfSQmI28IG75z2k7+4r3f11d7/d3U9w98aEEqOIREFS3yFkxoXGVYpxOKhr36BDEqmolKNEpMI78bxbmd+zLofP283HT/056HCkfCg/iUiJdDmsD8t+dzz1t8GU35/IS5cO1hNqEpiSFhKnAm0PtJK7/1zC/YtIASmjx5J6/Ujmd66BAXu+0sQrIvuhHCUilcLg+18irR7EPjuJHVvSgg5Hyp7yk4iU2AVX/5N5h8WRvDybLl+kargrCUxJC4l3ASeZ2RHRDEZEfl3K6LGMeOVbvu1Sg46z0vn6lX8HHZJIRaQcJSKVQvOW7Ug96xiapcH7lxyrHiZVn/KTiJSYmeGN6mu4KwlcSQuJI4GPgY/M7PgoxiMiB2Bm9Lj7SbbWgZ3/fIzMXTsOvJFI9aIcJSKVxhk3PcZPrWI4YsFeOk9RD5MqTvlJREqlUf/jyYoNfe8WGv5KpLyVtJB4IzAcaAZ8YGZLzexxM7vYzLqbWVz0QhSRgjp16s1Pp/Sk2SZ4+/rTgg5HpKJRjhKRSmXHwfUAiHX1MKnilJ9EpFRSRo9l7Q0jWNcAsmOgR/+Tgg5JqqHSzNp8EzAB+J7QgMCXAuOB2cB2M/vazB6LSpQi8gu/u/0/LOoYS/upa1j4yStBhyNSkShHiUilkjToRLLDf5XnxKiHSRWm/CQipXbC6DvZeeOVxObAzD9fFnQ4Ug2VqJDo7p+7+zh3P9fdDwfqAUcDfwCeA74DuhFKjCJSBmJiY0m+7UH2xsOae+8kOzMz6JBEKgTlKBGpbFJGj2Xl5cPZEw/rG4VeS9Wj/CQi0XLy6Vcxt1st2i7YyaL3Xwg6HKlmStojMR933+XuM9z9UXe/yN17AIlA72jsX0QK16vfiSw+ri2t1+Tw9m0jgg5HpEJSjhKRymD41Q/y/aDWtEqF9x67OehwpBwoP4lIaRxx80PsToBVD98P7kGHI9VIVAqJhXH3DHefU1b7F5GQEfe8xtLWRvL7S5h0fn8N0C5SBMpRIlIRnXDnc2ypC/baO2RnZQUdjgRA+UlEiqpnj0HMP6oph6zM5otHbwk6HKlGSlxINLM6Zna0mR1rZsnRC0lEiqNmjZrs6N+dhCzo/PUWzfYognKUiFRO9Rs1Z+WAdiSvcd7997VBhyNlQPlJRKLppLv/y4b6wMS3yd6zK+hwpJooUSHRzPoAPwJTgA+Bn8xss5l9YmYPmNk5ZtYhmoGKyP7FrF+LA4ZmexRRjhKRyuyksc+TVg9qvvmpeiVWMcpPIhJtzRq3ZEVKd5qkwXtjzw06HKkm4kq43UNAU+B1YAnQFugJDAaOARzAzLa7e/3Shykivyap7xCypk0kPitUTNRsj1LNKUeJSKVVL6khawZ3outbS3jrH5fx21ueCjokiR7lJxGJuhG3P8cnX/ag+eQlrMk8k6QTTqd2yqigw5IqrKSFxK7Au+5+ZmSjmdUFegBHAr0IJUYRKWMpo8cyGdg76WU6rMghJmNv0CGJBEk5SkQqteF/epbZU/qR+M40Mq/bQ3xCzaBDkuhQfhKRqKuZUIOEft2o89pctr6/kK0fLiR5HComSpkp6RiJO4BFBRvdfYe7T3X3h939XHc/vHThiUhRpYweS7/n32dzIjDxf3ocSqoz5SgRqdTqJB7E+uO602IjvHXfRUGHI9Gj/CQiZSJx+87wUFdGTo4x/92Xgg5JqrCSFhI/ATpFM5BIZtbczJ43s41mtsfMFpvZoIjlZmZ3mtlaM9ttZp+b2RFlFY9IZdGkaWtWHNORlqnOu/dfFnQ4IkEp0xwlIlIeTr3jGdY3hCbvzGHimIHMefuxoEOS0lN+EpEy8WmrBmTGhsZHcAu9FikrRSokhgf+7RjRdA9wnJl1i3ZAZlYfmEZoqLdhhJLt1cCGiNVuBm4It/cOL/vIzBKjHY9IZXPqn19gXUM46J1pZOzaGXQ4ImWuPHOUiEh5qVGzFusOb0KjbdB1ykbajn+byc/cHXRYUgzKTyJSXtqlXMTdI+NZ2RiyY6BVV42ZL2WnqD0SJwBLzGyrmU0BLgU+Aj4ws6FRjulmYJ27n+/uX7v7cnf/xN2XQKg3InAtcJ+7v+buC4ELgERAgwBItVe3Tj02ndSPJunw1p2auUuqhfLMUSIi5cYs1LskBojLhvSZnwYdkhSP8pOIlIsRXQdw9imP8s5p3aiRBXVefjLokKQKK+pkKzcQGvS3J3AU8JuIZe+b2TLgQ2B2+Guhu2eXMKbTCCXXlwnNXrYWeAp41N0daAM0Cx8PAHffHU7ORwHjC+7QzMYAYwBatGjBihUrShgapKWllXjbqkzXpXBBXZeeI25n6Sen0OKT71g492vq1m8SSBz7o9+Xwum6lFh55igRkXLToN+xZH05kfgcyImBpL7qYVLJKD+JSLkZ0XUAI7oO4LVPO5M8exObVy2lQasOQYclVVCRConu/lDu92ZWG+hOKCEeGf63E3A5oQ9NAfaa2QJgtrtfUcyY2gJXAA8B94WP9e/wskcIFREBUgtslwq02E/8TwBPAPTq1cuTk5OLGVJ+pd2+qtJ1KVxQ12XxWSdT/59vMX/8rYx4vOL1YNDvS+F0XYqvnHOUiEi5SRk9lnf37qHZ4/8jLSn0WioP5ScRCULciBHUvncCn//1Uk4fX/HuA6XyK/ZkK+6+y92nu/sj7n6hu3cj9FhxP+BK4BlgCaFEeWkJY5rj7n9092/d/VngX+F9i0gRnXL5/fzQJob209ex+qcFQYcjUi7KIUeJiJSrYZffy9KjD6ZVKnz60oNBhyMlpPwkIuXllPPu4PvkGFp9vY5tG1YHHY5UQSWdtTkfd98bHs/w/9z9Enc/EqhLaCKU4loHLC7QtgRoHf5+ffjfpgXWaRqxTESAeheOoeZemH7XmKBDEQlMlHOUiEi5G3DjI+xOgPSXXgg6FIki5ScRKQtmRtZvT6bubvjkLxcHHY5UQVEpJBbG3TPdfU4JNp0GHFqgrSOwMvz9ckIFw+NzF5pZTWAAML0ExxOpso45+xq+65TAYbO38NL5/TTbo0hYKXKUiEi5a9GuE0s71+XQ7zP5duqbQYcjZUj5SUSi4fRL7uXHVkbz6SvZuXlD0OFIFVPsQqKZdTOzZ83sOzNbZ2YLzOx5Mzs1SjE9BPQzs9vNrL2ZnQX8AXgUIDzhysPALWZ2upl1Bp4DdhCaGU1EIuT06E5cNnT5eitNx01UMVGqtHLIUSIigWg24ioAvh9/T8CRSEkoP4lIeYqJiWHXycdy0E74+K/qlSjRVaxCopldCHwDnE+ol2BT4AjgPOD1cELsU5qA3P0bQjM3nw0sBO4B/gQ8FrHaA4QKjo8Cs4DmwFB3316aY4tURdlrVuKE/rPHZUP6TA24K1VTeeQoEZGgHNJtEEs7JtBx/nZ+/nFh0OFIMSg/iUgQTr/8Hyw/2Gg8dSl7d2wLOhypQopcSDSzrsD/hV8+AgwHugFDgNsIjWt4BDDVzM4tTVDu/q67d3P3mu7e0d3/Fe6JmLvc3f1Od28eXmeQu+svKpFCJPUdQlbsvukAk/oOCTQekbJQnjlKRCQoDUb+nloZ8OW4PwQdihSR8pOIBCU+PoEtJ/QnaTtM/utFQYcjVUhxeiReB8QCKe5+jbu/5+4L3P1zd7/P3bsQ+lRtD/CMmZ1UFgGLSPGkjB7L+htGsqYJZMdAu97HBR2SSFlQjhKRKm/QOdexomUMh3yzjm1bNgcdjhSN8pOIBOaM6x5lVRNo9PFCXhozUMNcSVQUp5A4GPjQ3T/b3wru/iKhWca2Ak+YWd3ShSci0ZAyeiyJt95CXA7M+vsNQYcjUhYGoxwlItVA9gnH0GA7vPfgpUGHIkUzGOUnEQlIjfiarDusEUk7oMuUjRozX6KiOIXE5sDcA63k7j8AFwIHA6NLGJeIRFm/k37PDx3j6fjtFlb+cMD/yiKVjXKUiFQLJ17zEKkNoPmnC5k4ZpBuCCs+5ScRCVQ8pjHzJaqKU0jcCdQpyoru/g6h8T5OL0lQIlI2Gp1/GbUyYPr9VwUdiki0KUeJSLUQGx9Paof6NEmHrlM2qHdJxaf8JCKBatjvOLLDlZ+cGI2ZL6VXnELiSqBzMdafBhxavHBEpCwNOOMKfmgfS4dZaaxb9X3Q4YhEk3KUiFQbOfFx6l1SeSg/iUigUkaPZdkVw9kTD+sbh16LlEZxConvA4PMrF0R198INCh+SCJSlhLPOY86e+Gzey4LOhSRaFKOEpFqo8FRx+f1LslW75KKLpD8ZGZ/NDM3s0ci2szM7jSztWa228w+N7MjCmyXZGYvmNnW8NcLZla/wDpdzOyL8D7WmNlYM7PSxiwiZefUqx5kcd+GtFoPX735RNDhSCVXnELiU0Am8KKZJRRh/dbAlhJFJSJlZsi5t/BTcgztZ65n0/qVQYcjEi3KUSJSbaSMHsuy3w8m2+CntrHqXVKxlXt+MrN+wBhgfoFFNwM3AFcTmtxlA/CRmSVGrDMB6AmcEP7qCbwQse96wEdAangf1wA3AdeXJmYRKXt9r3+QvXGw9j+PBx2KVHJFLiS6+3LgXqAPMNXMWu9vXTNrDpwKfFPqCEUk6hLOPIPE3fDhPZcEHYpIVChHiUh1c+rNj7P0sBokr8xm2Q/zgg5H9qO885OZHQS8SGjClvSIdgOuBe5z99fcfSFwAZAIjAqv04lQ8XCMu89w9xnApcBwM8t93Pp3QG3gAndf6O6vAvcD16tXokjF1v7w/nzfuTYdluxhyayPgw5HKrHi9EjE3f8CPE/o06clZvYPM+tpZjEAZlbTzE4GpgB1gaejHbCIlN7Qi+5ieSujzfRVpKetDzockahQjhKR6qbpOb8PTaL2T3UGq8jKOT89Abzq7p8VaG8DNAM+jIhrd/iYR4Wb+gM7gOkR200jNGFM5DpTw9vmmkxotunkUsQtIuWg3ZhbiMmBef++I+hQpBKLK+4G7n6hmf0A3EnoU61rgSwz2w7UByz89YK7/y+KsYpItJhhp5xI/Uff4/17LmLUuHeDjkgkKpSjRKQ6OWrEtXw4/glaz1rLjp3bqVsn8cAbSSDKIz+Z2SVAe+DcQhY3C/+bWqA9FWgRsc5Gd/eIuN3MNkRs3wxYXcg+cpctLxDTGEKPWdOiRQtWrFhR1NMpVFpaWqm2r8yq87lD9T7/aJ57o7Z9mNs+jvZztzLrq09p1Kxt1PZdFqrzzx0q7vkXu5AI4O5/M7OJhMbDOA1ozr5BgdcAD4W/RKSCSrniAT5+/X3afr6MiZcMpEH/4zTGklQJylEiUp3sHdKXVv/9incevppzbn8u6HDkV5Rlfgo/enwv8Bt3z4xCuFHh7k8Q6iVJr169PDk5udT7jMY+KqvqfO5Qvc8/mue+fMS51LnnOeb89156PVLxH3Guzj93qJjnX6xHmyO5+wp3v9LdWxD6FKsbcIi7t3L3cZGfZIlIxRMTG0t6p+YctAu6Tt1I03ETmfzM3UGHJRIV5ZGjynJGTBGRojrh+n+Tngh1P/866FCkCMowP/UHGgGLzCzLzLKAQcAV4e9zu7U0LbBdUyB3nJv1QOPIsQ7D3zcpsE5h+yBiHRGpwI457xZ+Ptg45Os1bN1WMXu8ScVW4kJiJHdf5+4L3H1VNPYnIuUjJysLJ/RGEJcN6TM/DTokkagrixxVljNiiogUR3ztuqzrdTDtVjmTJ6mzdWUS5fz0BtAF6B7xNQt4Kfz9D4QKfcfnbmBmNYEB7BsTcQahMRr7R+y3P1CnwDoDwtvmOh5YC6yIwnmISDnIOnEwDbfB2w9eFnQoUglFpZAoIpVTg37HkhV+F8gxSOo7JNiARCqBcpgRU0SkWI664WEy4iD9leeDDkUC4u5bwrMo530RmiRlc/i1Aw8Dt5jZ6WbWGXiO0OQqE8L7WAJ8AIw3s/5m1h8YD7zj7t+HDzUB2AU8Z2adzex04FZAT6SJVCInXPswG5OgxccLmThmkJ5Mk2IpUiHRzBab2RUlPUhptxeRspEyeixrrzuLbbVhSyIc87tbgg5JpNgCyFFlPSOmiEixNG/fheWdatFpyV4WLfgy6HAkrALeQz1AaAzGRwn1VmwODHX37RHrjALmEZqJeXL4+/NyF7r7VkI9EA8O7+NR4B/AuCjGKSJlLDY+gQ0dkmiWDl2nbNAwV1IsRZ1s5TBCY26UVGm3F5EycsIld/P6iiV0em0hbzx0JWff+lTQIYkUV7nlqHKaEbPgMTXjZQlVp3MFnW9Vd6DzrXfKuSQseJKZ/7yVOnf8t5yiKjtV5Ocb6D2Uuw8u8NoJzRp9569sk07hOS5ynQXAwJLGJSIVQ1ZC3C+HudLkm1IExZm1eXDEuLvFpW7uIhXYSX98ilkf9+OgD6aTfWMWsXElmtBdJEhlnqOCmhFTM16WTnU6V9D5VnW/dr7JydfzwX+eptOcNKbfcz4N+x9HSiW/IawiP1/dQ4lIhZR01HFkT59IXA5kx2iYKym6YhUSw18iUsXUrHsQqb9pz+Hv/sgbj97IGdc8HHRIIsU1mLLPUZEzYua2xQIDzewyIHd25qbAzxHbFTojZm6vxEJmxBQRKZEd7ZtzyKo1dJu6kcwZE5kMlb6YWAUMRvdQIlIBpYwey7vbttDqifdZ3tI4TflCiqiohcRjonCsFVHYh4iUkZQ7nmHBFwOp8c5H5FydQ0yM5mKSSqO8ctQbhMaDivQssJRQT8XIGTG/gXwzYt4UXj9yRszccRILzogpIlIiWdmZekytYtE9lIhUaMOuHccbs2bQfvYWvvjwBQYNPe/AG0m1V6RCort/UdaBiEiw6iY1Zm2/Vhz+8SrefvrPnHrJX4IOSaRIyitHufsWYEtkm5nlzYgZfv0wcJuZfUeosHgHBWbENLPcGTHHhHdTcEZMEZESSep3LNlfhh5Ty9FjaoHTPZSIVAbdr7+f7edeyqpnHwIVEqUI1OVIRPIce8eTbK8F/vrrQYciUlmVekZMEZGSShk9ltVXDicjFn5upseaRUTkwJJ7DmRZp1p0XrCbuXM+CzocqQRUSBSRPPWbHcLPfZpy6PIc3p3wQNDhiFR47j7Y3a+KeO3ufqe7N3f3mu4+KLe3YsQ66e5+rrvXC3+dG+7tKCJSaide+SDLezWkzRr45N0ngw5HREQqgbZjbqBGFsx75LagQ5FKQIVEEcln0B//j101YPfEF4IORUREREqg1/UPkBMD6154LOhQRESkEuiS8juWt42j07dbWL5iSdDhSAWnQqKI5NM4+TBW9GxAp6VZfPzG/wUdjoiIiBRTy25HseKwmhyxaA8L5k8NOhwREakEkkaeS+Ju+OIfVx14ZanWVEgUkV/od8s/yYyH1Ocf5aI37udl3YSIiIhUKodceA01M2HWI7cGHYqIiFQC/c+7hdUHG+1mriUtfWPQ4UgFpkKiiPxCi8N6sahLbbotyaLj688z6a0rVUwUERGpRLqe/Ht+bh3LoXM2s3bjyqDDERGRSiBm+PE02gZvPzAm6FCkAlMhUUQKtbZdS2KA4V87f3opk58mPx10SCIiIlIMtU45maQd8P7frww6FBERqQSGXDOODQ2hxZffsWvvnqDDkQpKhUQRKdSArY4TepOIy4YhqzYHHZKIiIgUw4Ar7mFjQ2g97Sd27d0ddDgiIlLBWWwsO47pTsuN8M7Ivkx+5u6gQ5IKKK4oK5lZ6ygec4u7b4vi/kSkDHQddg4rPrkbzzYMp+uwc4IOSaRQylEiIoWzmBh2D+5B69e+5ZV/Xc0FNz0VdEjVivKTiFRGsa3b4cyl8+IMMn6YyGQgZfTYoMOSCqRIhURgBeBROuZdgMraIhVc7ZRRJI+Dbx+4lwZrsvksfR3Dgg5KpHArUI4SESnUMbc+ztz3+1Hn0+lc1OE+hrY9mhFdBwQdVnWxAuUnEalktsz+klbsezItfeanoEKiRChqIfFuopcEv4jSfkSkjNVOGUWHDl1Z9duz2PvCs/iI6zGzoMMSKUg5SkRkPxISD+KHno048stNrHj1P0w6bALwqIqJ5UP5SUQqnaS+Q8icNpGELDDgoN6Dgg5JKpgiFRLd/c4yjkNEKqgmbTszrW9TOk1J5fWnx3LGxX8JOiSRfJSjRER+3bpWzXE2cdIs57i5mbxX42lQIbHMKT+JSGWUMnosk4HMVyfRblk2G9PXBx2SVDCabEVEDmjI3c+xvRbET3qd7JzsoMMRERGRYhiQtgcn1LNEE6iJiMiBpIwey9CXvyQ9ERq/N1UzOEs+KiSKyAEd1CyZtQMOocPPOUz693VBhyMiIiLF0HXYOVish4uJTteTRgQdkoiIVHAJifVJH3IEyeucSf+4LOhwpAJRIVFEimToXf9hS12o/8bHZGRkBB2OiIiIFFFoArWxbGseC258sGtj0CGJiEglcMKfn2NzPWg2eSY79uwKOhypIEpUSDSz483sATP7yszWmlmGmW01s6Vm9oqZXW5mLaIdrIgEp3ZSEzYe04nkdc7Lf9cnUlJxKUeJiPxS7ZRRtP+//5IVB7v/+zTu0ZoDRIpK+UlEKpvY2nXZNrQ7h6TCK/dfHHQ4UkEUuZBoZrXN7FYzWw58ANwI9AHqAxuALKAtcAbwKLDczF4zs/7RD1tEgnDSnc+TdhA0e38GO3frEympOJSjREQOrNGh3VndowHdl2Tx+usPBx1OtaD8JCKV3dA7nmZTfWj58bds3bk96HCkAihSIdHMRgNLgXuB3cBdwPFAfXev7e4t3b0hoVmgDwdGA68BJwJfmtnLZta6LE5ARMpPXJ1Etp5wJC03wqv3/j7ocEQA5SgRkeLo96dHyYqFPS8+o16JZUz5SUSqgtiatdl9Ut/QPeDfLgw6HKkAitoj8SlgJtDX3Q9397vd/RN33xa5kod85+7PuftIoBlwLfAb4PfRDFxEgnHC7U+R2hDafbCACZcMZPIzdwcdkohylIhIETXsGNEr8bWHgg6nqlN+EpEq4bhbn2BDA2jz2SI2bdkcdDgSsKIWEnu5++nu/k1xdu7u29z930A7YFKxoxORCic2oSZpXZrTcDt0m7qRpuMmqpgoQVOOEhEphn5jHwv1SpzwrHolli3lJxGpEmISEsg+ZRDN0+DZv4zgojfu5+X5U4MOSwJSpEKiu88pzUHcfY+7f1eafYhIxZGZk40TegOJy4b0mZ8GHZJUY8pRIiLF07BDN1b3bBjqlfiqeiWWFeUnEalKjrnxEdY1gr5TVtPiveeZ9NaVKiZWU3El2cjMGgNHAYcBScBeQuN/fOHuq6IXnohUREn9jiVz2kTis8Ov+x4TbEAiEZSjREQOrP+fHmPVb0ewc8IzXBSfwdC2RzOi64Cgw6rSlJ9EpDKzuDiWHp7EwCnpjJjiZMZl8l6Np0G5o9opUSERSAVyn4OwiO8xs6+Av7n7O6WMTUQqqJTRY5kM8N+XaL3W2ZyxI+iQRCIpR4mIHECDDl35sHs9jpy1jfWv/YdJh04AHlUxsWwpP4lIpdatZkOc9Lwn04as0niJ1VFJC4nLgVnACmAnUBtoT2hA4P7Am2Y23t2viEaQIlLxpIwey/ZhF7Bw+Ak0+u87pJ1zCw3rNwo6LBFQjhIRKZLV7VvSddZihn/jDP1WPUvKgfKTiFRqXYeNZMUnd+PZhuF0OfHsoEOSAJSokOju7QprNzMDjgceAC41s7nu/kQp4hORCiyx6SHsOmMgLZ+bwhu3nclFj30edEgiylEiIkX0m82Z+cY8Vs+SsqX8JCKVXe2UUSSPg7n330vS2mzeWD6P33Fu0GFJOSvqrM1F4iEfEhr74wdAn6aJVHFDbn6clW1i6Tk1lc8/ezXocET2SzlKRCS/rsPOwWIdxzGHpkcfG3RI1ZLyk4hUJrVTRtHt5Q/YUhcav/QOm7fqQ6jqJqqFxFzuvgt4E+hY2n2Z2R/NzM3skYg2M7M7zWytme02s8/N7IjSHktEis9iYujwp/uJcdg47k6yc7KDDknkV0UzR4mIVGahniVjye7agBhg8qcvBx1Stab8JCKVRZ3GLdl5xkBabYA3/nRW0OFIOYtKIdHM+plZDzNraGZ1zexI4GRCAwqXar/AGGB+gUU3AzcAVwO9gQ3AR2aWWJrjiUjJtDtqGCt/czCdl2bzwv2XBB2OSD5llaNERKqC2imj6DJpOqvaxtN3ejrvfzQh6JCqDeUnEanMjr3lcX5uHUPXL9by9cwPgw5HylG0eiReQ2jg4A3AVuBroA0wtqQ7NLODgBeB0UB6RLsB1wL3uftr7r4QuABIBEaV9HgiUjon/P01NjaAtm/MYMWqpUGHIxIp6jlKRKSqOeLOfxCbA1seuZesbD1dUE6Un0Sk0rKYGFrfMpYambDsgZuCDkfKUbQKieOAewglQgPmAIPc/YVS7PMJ4FV3/6xAexugGZBX8nb33cAUQuOKiEgAEurWJ+7Cs2m8FWb84QxeunQwk5+5O+iwRKBscpSISJXSos/xrDmqOd2/z+bZhzVEXzlRfhKRSq3TsSP4sU9Dui3K4JXHVEysLko0a3NB7v4N8A0w1swOAx4k9Kjx8eFlxWJmlwDtodDpf5qF/y3Y5T8VaLGf/Y0h9Ig0LVq0YMWKFcUNKU9aWlqJt63KdF0KV92uy8HHX8iSV1+l25JMcr5LJWvaRF7fuYOeJ+e/Ialu16WodF3KRrRzlIhIVXXcg6/wzdDf0OZ/U1h17pr/Z+++46Oo1j+Of55NCL2EXjUgilwBQVGKoiQlEHgAACAASURBVIgiYu8Kduyi117vT/Ti9Sp4xa5XvWIHLNhbQBEBBRRUEAURIYj0EnpJsnt+f+wSlhggZXdns/N9v177SnZmduZ5TjZ5cs7OnKFFo2L/tZYYUX0SkVTQ+6E3mHn8MTR85SNG/DCVet2Ooc8AnVidyso0kGhmDwH3RCYE3olzbg5wkpmNI1wMe5Zy322AfwOHO+fyyxJfMTE9R/gMRzp37uyysrLKtb/yvj5VqV2K57d2+bZxLVi4ljQHBCFv1rdkXTf0L9v5rV1KSu1SfvGsUSIiqaxSnXrQvy/N/vspb99zBrOOO41jW3XnnA49vA4tJag+iUgqqtGgGUsOasIBXy2l/sSV5E8eSTZoMDGFlfXS5puBuWZ2jZlV2cU23wMHl2Hf3YD6wM9mVmBmBcCRwDWR77efstOoyOsaAcvKcDwRiaHaR/alIA3c9ueHHulpPOJL8axRIiIprdvf/8P8rDR6TlpHq/de5s0PBvLGzIleh5UqVJ9EJCUVuCCO8ABTehByp47zOiSJo7IOJF4N1ACeAJaa2YtmdomZdTOz9mZ2HnAxsKkM+34PaA90jHpMA0ZFvp9LeMCw9/YXRApxD+CbMuYjIjHSZ8Aglt7cjz+aG2kO/pg1xeuQxH/iWaNERFKaBQL81imLygVw2hTH3aPy+T37Ba/DShWqTyKSkjK7Hk1+evhkkoCDSm3aex2SxFGZBhKdc88C+wH/BaoQvmvy/4BJwI/AK0BdwnddLu2+1zrnZkU/CBfTNZHnDngUuN3MTjezdsBLwEZgRFnyEZHY6jNgEMd+8j2L9k6j25g/GPWCTmuXxIlnjRIR8YOumwI4wnf/qFQAvRat8TqklKD6JCKpqs+AQSy7qR+/dKhGCHBffsm2vDyvw5I4KfNdm51zK5xzA4HmwEDgbeAn4A9gOvAP4PZYBFmMocAjwFOEz1ZsAhzrnNsQp+OJSCkFMqpw8FMj2FgNmj37FtN/nOB1SOIjHtcoEZEKrcMJ52JpDofDgGVVY3J/RkH1SURSV58BgzjzzenMO7oFB/wWZMTNx3sdksRJmQcSt3POrXbOPeOcO8c519E519I5d6hz7gHnXEEsgnTO9XTOXRv13Dnn7nXONXHOVXHOHRk5c1FEkki91h2oesuV1N4Ef9xxNWs3rvU6JPGZRNQoEZFUU61Pf7KGDaLOce3YWA3qjp/NlO8131UsqT6JSKo66dGPWNAyjc5fLObdFwd7HY7EQbkHEkVEdqfTOTew5IS/sX9OiNHXHed1OCIiIlIC1fr0p+mjb1P1H9eRuQEW3X0d67Zs9DosERFJcmmVMuj81Cg2VId6/x3JnNnTvA5JYqxEA4lmVrW8B4rFPkSkYurz4Fss+FsVuk9ex/BrevL1/ReQPVyfTklsqEaJiMRP+zOuYWmfNrT7PcSIm/t6HU6FovokIn7VsFU77PpLyNwA8669gJFXHKn+Xwop6RmJC8zsejOrXNoDmNmBZvY+cEtpXysiqcECAY567hNW1YGu45Zz4KRVNBo2UsVEYkU1SkQkjno//A6L9qnE4eNX8a//XMyl7w3hjZkTvQ6rIlB9EhHf6nb+bcw9sAb7LIYOE1ao/5dCSjqQmA0MA5aa2TNmdtTuPh0zs1ZmdrWZTQa+Bw4Evix/uCJSUVWt34RlrWsCkOYgPQi5UzXfksSEapSISBxZIEC3Z99jfQ04asRUsj54mTc/GKjBxD1TfRIRX8uvWQ1HeOApvUD9v1RRoluwOecuMrMngfuBKyKPoJnNBpYCuUAVoB7QBqgPGLCC8J3HHnHObYt9+CJSkdTqdSL5P4ykUhACDrbUr+91SJICVKNEROKvZvNW/HBYc3p9+idnfOM46dt8Pqn8AnTo4XVoSUv1SUT8LrPr0eR/M5JKBeHBxG0h3UsqFZRoIBHAOfcdcKyZ7QtcChwNdATaF9l0JfAOMBoY7ZzLj1GsIlLB9RkwiGxg/ZgPyJqzib998jNvtX2As86/0+vQpIJTjRIRib/OwaqFZ5ZkFEDXeYu9DinpqT6JiJ9t7//lThpDw7mrOejr1bwy+DwuHPS616FJOZT6rs3Oud+cc3c45w4BahP+9Kw70Alo5pxr5Jw7yzk3SgVQRIrqM2AQhzz4NpnDBhNKh5YPvcKoF+72OixJEapRIiLx0+GEc7E0h8MBUDD7T+YumOVxVBVDvOuTmd1pZt+Z2XozW2lmH5pZuyLbmJnda2ZLzGyLmY03swOKbJNpZq+a2brI41Uzq1Nkm/Zm9lVkH4vNbJCZWakbRUR8oc+AQZw7fBKd3viIZY2MTqO+59X7LvQ6LCmHUg8kRnPObY4UxSnOuRnOuaWxCkxEUlvrXmfR5LH/sK0K7PvY27z+1M1ehyQpJh41KpEdNRGRZFOtT3+yhg2i4WmHkNtzb5qthNlXns38hbO9Dq1CiVMfqifwNOHByV5AAfC5mdWN2uY24GbgOuAQwpdQjzWzmlHbjAAOAo6LPA4CXt2+0sxqAWOB5ZF9XA/cCtwUgxxEJIVlNtuHg1/9gOUNjY4jv+P1f1/sdUhSRiUeSIx0ml4xsxJfDi0isjtZ3U8g67/PsLk6HPDMJ7x47TGMurKn7uYlpZbAGtWTBHTURESSVbU+/an/wKsc9t/PWHxOF1r/4fjp8jNY+OdvXoeWlBJVn5xzfZxzLzrnZjnnfgIuABoAh0XiMOAG4EHn3Gjn3CzgIqAm0D+yTVvCNekK59xk59xk4ErgRDNrEznUeUA14KLIsd4GhgA36axEEdmTus1b0+nl91jewGj/+lReufoo9f8qoNKckViDcOEYZWblOpNRRGS7Zp16su//XmZjdejy+WLaf7WcRsNGqphIaSWkRiWwoyYikvSOvfclFp3dmdZ/OH45/2RGXHq46vdfedWHqkm4r5cbed4SaAyM2b6Bc24LMIHwh2MA3YCNwDdR+/ka2FRkm4mR126XDTQFsmKagYikpHp778eBr7xDbi3o/OUy9f8qoNJ+MuaA04ARZtbPOed2taGZnQ90ds7dUJ4ARST1NT7gUCa0zaTulNzCCdxXfvUpDBjkdWhSsXhRo0rUUTOz7R21Z9lzR+3XcsYkIpIwxw1+ldGLetB28ir2Xraa/CkjySY8J5YU8qI+PQb8CEyOPG8c+bq8yHbLgWZR26yMjs8558xsRdTrGwN/FrOP7esWRK8ws+13q6ZZs2bk5OSUJZdCq1evLtfrKzI/5w7+zj81c6/Ckv3q0GDqWgJApQJYOeFTcnrtPHdiauZecsmaf2kHEp8EegBnAfmEz8TYlX0IX9algUQR2aPaRxxH3rSRVCoAA9r8uJbh953PRf94mbRAmtfhScXgRY2KV0etkDphZeenXEH5prpkzndrOoV3c64UhA3vvsn8nucTCJT9BLxkzrcMElqfzGwYcDhwuHMuWNb9xIJz7jngOYDOnTu7rKyscu8zFvuoqPycO/g7/1TM/dcj+5I3fUf/r+WstcyeMIK+F96103apmHtpJGP+pR1IXAP0BsYD/c0s3zk3IOZRiYjv9BkwiGwgd+o4qjVoQs0JP9Lt9em8+X0nOj44nLZtOnsdoiS/hNaoRHXU1AkrHz/lCso31SVrvr92603+5JGkB8OdwQN+CzLtltM44rG3aNxivzLvN1nzLYOE1SczewQ4FzjKOTc/atWyyNdGwB9RyxtFrVsGNDAz2/5hV2TKjoZFtmlU5LCNotaJiJRIdP8vrUZNmk2YR/MHX+W1qV+w/50P8GPuTJqHmpOlWROSTqkn/XXOrTGzYwgXwosihfDKmEcmIr7TZ8CgwsuZ8zeu49O/n0j7yatYc94FvNitGVXyCqjbpZcul5JdSlSNSkBHTUSkwojuDNY+uAcbp4zngMmr+PXsU/jqyLa43DVk+rx+J6I+mdljwDmEa9OcIqsXEK4xvYHvIttXIXym5K2RbSYTntOxGzum3+gGVI96PhkYYmZVnHNbI8t6A0uAnFjmIyKpL7r/t2TeDKZffz4Hf7GEX2dfxPK9jTGtK9G4SWM6NuzocaQSrUzXGzjnVgBHAfOAy8zsyZhGJSK+V6lGbU4ePpHNgy4Fg65jF3PgV8tp/PBIsof/0+vwJInFu0ZFOmr9gF576Kht3357Ry26E7a9o7Zd0Y6aiEiF0mfAIM59djx9r7iPs4ZPZNH1p1NlK7R/bzbtv1pOY02kH9f6ZGZPAZcQvrFXrpk1jjxqRI7tgEeB283sdDNrB7xEeM7eEZFtZgOfAc+aWTcz60Z4bt+PnHPb5+8dAWwGXjKzdmZ2OnAHMGx3cz+KiOxJ09YHcvz7PzC1c1X2WwKnTXbc/XoeX780xOvQpIgyT1zinFsO9CLcabo6cnaGiEhMHdrvFv48sD4hwpdLZQSh6rOjGPXIteQV5HkdniSpeNWoBHbUREQqtOOuup8FB2YCFE6kHxz1BhuXzN/9C1NcHPtQ1xC+AdgXwNKoxy1R2wwFHgGeAqYBTYBjnXMborbpD8wgfCfm7Mj3hXM6OufWEf6wrGlkH08BDwPDYpSHiPhYWno6zas3JmThvl96CA5/+UfeuKInqxb7u34kk1Jf2hzNObfYzHoBXwF/N7M859ztsQlNRCSsTvfe5E8Jz73kDKrkwYHPfsH4dw9kZa9O1Gnaig3TJ/n+sinZWZxq1DWRr18UWf5P4N7I90OBqoQ7V5nAVIrvqD1BuJMG8AFwbTljExFJKpmRG6mlR2aRbflHiDnHn8Dy7i1IP6ATuTOn+rJ2x6M+OeesBNs4wrXq3t1skwucv4f9/AQcUboIRURKptmRp+EmPUwocibJskYBOkxYzoITT2D8ftUpqFmVzO69fVc7kkm5BhIBnHN/RBXCWyKF8O7yhyYiEhY991Jml14cccZAxtx/GZkT53DQqB9w/IADCiaN5DMX5LhLdemzhMW6RiWyoyYiUtHtXL+PYq0LUentt2k7bhFu3CKaE67d2ZFt/UR9KBGR4rXtfzmzga1ffUZ+x270ufoWPn1xMPbySA6YsQnHJkJfj2T0rGmcNnQ0gfRKXofsO+UeSARwzi2IKoR3mVl+LPYrIrJd9ES8AKcMfZf8rVv46NwutJmTT4DwZc/1Hn+TUeM+peaRx3LMhXcyfsTDhQOQfuukSJhqlIiId4rW74KL7+HNfgfRcea2wtpd58mRjJ32NZ0vu51vf5xE7tRxZLQ7lKzrhnoXeAKoPomIFK9t/8uh/+Xk5OQA0PeSQYycMo7my5aTBgQc/O2T35g6oQPL2tah1ZkDWLZqCbnffql+XwKUZiDx/4Cfd7XSOTcvqhDeQ3jeDxGRuKlUpSrVTj6TvHk7LnteUxfa/riBjOmjmfXkaJrlQ3MXPuPh04J8+l5xn9dhS3yoRomIVADpaQHqHXc6eb/sqN3rqkGLcX+wbNxAmgPNgeCkDxkbMHoPDE+yvzl7BJvHf0q1nn2p1qe/pzmUkuqTiEgM1O3Si4KvR0IQgmkw49BMai5bR+vpa0n/btiO+jFxJJ+uXELf2/8LVOj6kbRKPJDonPt3Cbb51cyOBr4EWgG6c5eIxFXRy577DBjE8pw5THrpPmp/8T1NV+64SUvzR98me+Ro1jepQVrr1hBII2/xH2R2O1qfWlVwqlEiIhXHX6YsOf9ORn/8PNWffYo2OSEMCASh6RMf8M3ID0nLrELN3zdDCPjgO7KGUdgZTPYOouqTiEhsFK0dF0b6b99P/5LfBl3H/r8Hw/UjBFkvfsWUt9qyOTONRosLsApYP5JZTC5tjuac+9nMjiFcCOvEev8iIkUVvWyqUdb+nHHv62TvNZi8YeEzHkIG81qnUXVTkNY/baDK9z8Akf/UJ47k8xdHsqFRNUL1MqncrAV5m9YTXLqE2t17cexV9+90vOzhg3W5dAWlGiUikhyK1u7zT7uG7NxVO+p2AKbvn0b1jSH2n78FC4WnqHVBmHvbYLYNe5CqVSqT/tuG8ADj+9/R/NYcap5zHVat5i5rdbJ2HFWfRET2rGjtADjo4KNYecbZhfUjGICZB1YjY9M29lkQJBCpHwTht5vvY/WD90PlNBr9kRceYHz/O5rc+Du1+/2dQI3awK77e8laQxIt5gOJAM65mWbWHjg8HvsXESmJop9anR4pAmvXruaza46l/febCRDuf1TZBtVyNpM5azOweMdOvn2HGU+8w8bqsKWqEQxAs2WO5g5CE0cyesxHVG6ZRaVatalSuz65C34luGgRlf92AF1OuZxqtetSuVYDAtVqMHbEEHKnFj9vR/bwwayaPJZfu/31DmS7G7hM5LrdvWbG6KEsmTiWpj16c+AZt+3+B+Mx1SgRkeQUXbcz2h3KJdcNZf3WLfzzP+dy4ci5hQOMc5oYNbbms9ef+YUDjIRg8ZBXYcir5GU4mucZLQA3YSQ/vvUOjZs3IbRlK2unLw1/ivj+dzQ45VOqHtiZQPWabPvtZ/JzcqhxwhmedQ5Vn0REyqZov++CSF/lviEXcPKr00grABeA2VlG1W2O5kvydwwwhmDZwyNY9vAItlaGrRnQfCO0cBCaMJJP33+HSk0bU2PzNmp+t7Rw8LHW+V9T57BjqVQrk6+/eJvVP39PnUN7cPQlg7DKVTAL77+0favo5W16XbhTnskywGnhm0vuYSOzvWJ4zLXOufUx3F+pdO7c2U2bNq3Mr8/JySErKyt2AaUItUvx1C7FS4Z2yR4+mEaRT60K0mD5Tf045sJ/MC9nJt8PuowOUYOMC5saG2unUXlzkAarHHU2hS+XdoS/llT0X9utGVCQHv7EzBzUjNrn6kwoyDBcwAjkh2i4OryNM1jayAhWScOZkbYtSJOlIQIufMblkqYBgtUzwCCwJZ9mi4KF6xbvlQbVq2AYbNpK0z8KCtctzapEoEZVMCO0cQtNFuQVHm9Zywwq1apBwfqNNIpavqJVZSrXrglAwcaN1PttK+bCbcngS8o8mGhm051znUv5mpSpUXtS3hoGyfH7lyh+yhWUb6rzc75vzJzImx8M5IBFQX5ukcbJxz9K4xr1+XDUnVz+5nzSIgOMnx2cxtYMR8ffQ7ReuqOubqoMaQ6q5u3+mA4HaZA1bFCZOmJFa5if6lNJqIaVj59zB3/nr9yzyvz6ovXj7JOf4pwOPbhv6AWc9Mq0wg+oJnSuTHqlymRs3EqLP/NotmpHDSkIQKVQ6Y8dDDiCBpWCO3qMm6pBsBJYCGps2HGMdZngMgKQH6JO7o6+39p6EKhaCTMIbi2gzkpXuG59ozQqV8sgbUs+lZblh3cUwxq2OyU9IzGH2M3V8U9gcIz2JSJSJsXNrQjQpnUnco45hfyZOwYZ084/l7Mj67OHD6Za1ADkLxcdQf12h7Mpdylb3xtBh8hdKEPAnH3TWNeqMZaXR735q9hnoStct7we5NbPwEKO+ivyqbVpx6Bk0GBdVTDnyNwcLiQG4KDKJsd6CjAH1TeF71hmhL/Wyg2xcWt4QK/Glp3XZS4PsrnKJsxBta1F1i3JZ0tGPkb4zMzt65yDzD/z2Jqxhhp5Oy+v88c2tmZsw4CaUevSQjDvy88SfVZiDqpRIiIp65wOPYCnGDP/G85u1T3yHNaeegeDAzt3EM9qdxijn7uLvCffL6zVI89uw9yWWdSeO4Vb315XeOnbc30DLMs0es0I0XOmI4ARDMHMj0fRNTZndOSg+iQi4pld1Y/9jruC+/JmRNWPJwrXZQ/fMT1WQRr8dHVfMg8/mSlvPchZ7y4kLRSuIZ/1qElGg6Y0mTGP9nODhf28X/c2ljapSiAUovmf22i1ZEcfcFVNWF43QJNVIWpu2NH/22yworqj8Zqd+375+ZBbJR9CUG/LzuuCG4MsZQt1NkKmMwxiXcN2qaQDiYOJXRH8Kkb7EREpl+Lm2Ni+vLhBxuLW9Y8+DX3rVvJ/2VF0apx2NmdEDUDmRxWkwAX9Cl9btFjlXdaP03axbtPV/Th+F4Oa667tx7GX3I1zMOalwVQeNqpw3Yprz+Kw/rdTEAoyacQQWj7+TuG63686mQNOv5aCYJCf3n2S9s98XLhuxuXHkXX8AGZ/8j86PzumcPmUS4+m4dHnUxAK8dtHL3LSyEmF63JbdYnTT2yXVKNERFLcOR16FHbyopcV10E866oHyc6oVlirh0Xq5hszJ3Jf+o6BxxOPe5iOTVsz4qVbyP/ll8I6Nq5FXbrGJmzVJxERj5WmfsCuL5PeZGkMrhL94dXDnNOhx1/6edXPOZeBu+oDXtSPiwcM+ksfL3hZP/pdcjefvXgvecPeLFyec25vDj3vVrYV5PHTu09R65lPd/TTLuhJ3aPO5osPHy2c/iPGNWyXSjSQ6Jy7N85xiIgklV0NMu5uXWkGIItbt2ryWOoXmSOxLPs0g+MG3EM2VrjuxKjXnXbF/WSnVy5cd07Uuo4D/0N21VqF6wZE1vW67jGyq++Yk+OaqNdMr9OW/628gwNW/8TP9dpzSYLnSFSNEhHxr+I6iFB8rd5Vx3HuiTdwXyiqc9jn0pjEpvokIpK8dlU/oHQ1pCz9tV0t7zvgn2STVri8Z68LyWrYAoBOA4eRXbVO4brtg5UB0rnPxb6G7U6J5khMJZojMT7ULsVTuxRP7VK8itwu0xfmMmX+arq2qsfBe2eWeT9lmSPRTzS/VOn4KVdQvqlO+cbXGzMnMmb+Nxxb5MyU0lAN2z3VsPLxc+7g7/yVe5bXYXimpPknuobF5a7NIiLiLwfvnVmuAUQREREv7e7MFBERkWSW6BoWSNiRREREREREREREpMLSQKKIiIiIiIiIiIjske/mSDSzlcBaYF3U4tqleF4fWBXjsIoeLxav2d36Xa0rTTsUfZ4M7VKS7UvbLiVZpnYpfpnapfhl0c+Lrqvo7VKa5btql72dcw1KFqr/RGrYwsjT0vzOxeP3r6TvrbLUq/L+jdn+faJzLcm2fso3Fn8TdrfOD/l6+bu7p22V71+Xq4btRpLVsOKOWZ5tY/X7UPR5Rc59V+vK8vceKl7+fv7Zl+V/nXjX+t3FUdZtU+1nX/Ia5pzz3QN4rqzPgWnxjicWr9nd+l2tq+jtUpLtS9suJVmmdlG7lLVdillXodulNMv39H7Ro/Q/q5K+12L1Pivpz6ws9SoGf2Oe8yJX5VuydTH4W+mbfL383VW+Zc9Xj9K3daJrWCzfG6V9f/gl97Lkv4d1FSp/P//sS5J7SX/2scw9mfJP9p/9nh5+vbT5w3I+j7Wy7H9Pr9nd+l2tq+jtUpLtS9suJVmmdil+mdql+GUf7mZdPCSyXUqzPNHvj1RUmt+5eLRvSfdZlnpV3r8xsc63NPtTvnteV96/lX7K18vf3T1tq3xLv3/ZwesaVtr9lrXvlWx/38uy31j3O738e1+W/epnX/r1ZflfRz/7kh+3rGK2X99d2lxeZjbNlfCW2H6idime2qV4apfiqV0kEfz0PvNTrqB8U53yFfH3+8LPuYO/81fu/swdkjd/v56RWB7PeR1AklK7FE/tUjy1S/HULpIIfnqf+SlXUL6pTvmK+Pt94efcwd/5K3f/Ssr8dUaiiIiIiIiIiIiI7JHOSBQREREREREREZE90kCiiIiIiIiIiIiI7JEGEkVERERERERERGSPNJAoIiIiIiIiIiIie6SBxBgysxPN7Fcz+83MLvM6nmRgZu+aWa6Zve11LMnCzFqY2Xgz+8XMZprZWV7HlAzMrI6ZTTOzH81slpld7nVMycTMqpnZQjP7j9exSGryWw3zU33yW93xYz3xU40ws5zI+/hHM/vS63gkOfithhXlp5oWzW/1LZofa11x/FT/onldC3XX5hgxs3TgF+AoYB0wHejunFvtaWAeM7OeQE3gIufcmR6HkxTMrAnQyDn3o5k1Jvxe2c85t8nj0DxlZmlAZefcZjOrDswCOvv9d2g7M7sfaA0scs7d4nU8klr8WMP8VJ/8Vnf8WE/8VCPMLAdo55zb6HUskhz8WMOK8lNNi+a3+hbNj7WuOH6qf9G8roU6IzF2DgV+ds4tjvwwPwWO9TgmzznnxgMbvI4jmTjnljrnfox8vwxYBdT1NirvOeeCzrnNkaeVAYs8fM/M9gX2J/x3RSQefFfD/FSf/FZ3/FZPVCNE/FfDivJTTYvmt/oWzW+1rjiqf97RQGKEmR1hZh+Y2WIzc2Z2cTHbXGNmC8xsq5lNN7MeUaubAoujni8GmsU57LiKQZukpFi2i5kdDKQ55xbFO+54i0W7RE7RnwH8CTzknFuVoPDjJkbvl/8AdyYkYKmQ/FbD/Faf/FZ3/FRP/FYjYpSvA74ys+/M7LyEBC5x5bcaVpTfalo0v9W3aH6qdcXxW/2Llgq1UAOJO9QgfDrw9cCWoivN7BzgMeDfQCfgG+BTM9srkUEmmNqkeDFpFzOrC7wCXBHvgBOk3O3inFvrnDsQaAn0N7NGiQg8zsrVLmZ2CjDXOTc3YRFLReS3v9fKN0oK1h0/1RO/1YhYvJcPd84dDJwM3GVmHeIetcSb3/6mF+Xn/P1W36L5qdYVx2/1L1rFr4XOOT2KPICNwMVFlk0Fni+y7Dfggcj33YF3o9Y9CvT3Ohcv2yRqWU/gba9zSKZ2IXz6+QTgAq9zSKZ2KbLuaeBMr3Pxul2AB4BFQA7hyzXWAYO8zkWP5H34rYb5rT75re74qZ74rUbE6Gf7UNF96FGxH36rYbHIP2pZhatpsci9ota3WP3co9ZViFoXq/wrcv2Lw88+4bVQZySWgJllAAcDY4qsGkO4cAF8C7Qzs2ZmVgPoC2QnLsrEKmGb+E5J2sXMDHgJGOecezWhAXqkhO3SyMxqRr6vDRwB/JrIOBOtJO3inLvTOdfCOZcF3EK4qAxOaKBSofmthvmtPvmt7vipnvitRpTwZ1s96mdbA+gF/JzIOCWx/FbDivJbTYvmt/oWzU+1rjh+q3/RKkot1EBiydQH0oDlRZYvGqVYJAAAIABJREFUBxoDOOcKgJuBL4EfgYddat8xaY9tAmBmnwNvAceb2Z9m1i1xIXqiJO1yGHAOcKqFb9f+o5m1T2CMXihJu+wNTIzM8zEReMI591PiQvREiX6PRMrJbzXMb/XJb3XHT/XEbzWiJPk2AiZFfrZTgFecc98lLkTxgN9qWFF+q2nR/Fbfovmp1hXHb/UvWoWohemJPFiqc859AHzgdRzJxDl3jNcxJBvn3CQ0iP8XzrlvgY5ex5HMnHMveR2DpC6/1TA/1Se/1R2/1hM/1Ajn3HzgQK/jkOTjtxpWlJ9qWjS/1bdofq11xfFD/YuWDLXQl790ZbAKCBIe+Y3WCFiW+HCSgtqkeGqX4qldiqd2kUTw2/tM+YYp34rPT7mC//KVkvH7+8LP+St3f+YO/s6/QuSugcQScM7lAdOB3kVW9SZ8Bx3fUZsUT+1SPLVL8dQukgh+e58p30LKt4LzU67gv3ylZPz+vvBz/srdn7mDv/OvKLnr0uaIyCSVrSNPA8BeZtYRWOOc+wMYBrxqZt8CXwNXAU2B/3oRbyKoTYqndime2qV4ahdJBL+9z5Sv8iVF8vVTruC/fKVk/P6+8HP+yt2fuYO/80+J3BN5i+hkfgA9AVfM46Woba4hfHvxbYRHiY/wOm61idolWR5qF7WLHt49/PY+U77KN1Xy9VOufsxXD70vlL9yV+7KPxVzt0iQIiIiIiIiIiIiIrukORJFRERERERERERkjzSQKCIiIiIiIiIiInukgUQRERERERERERHZIw0kioiIiIiIiIiIyB5pIFFERCROzOxOM3Nm9mTUMjOze81siZltMbPxZnaAl3GKiIiIiIiUhAYSRURE4sDMugJXADOLrLoNuBm4DjgEWAGMNbOaiY1QRERERESkdNK9DiDR6tev77Kyssr8+ry8PDIyMmIXUIpQuxRP7VI8tUvx1C4wffr0Vc65Bl7HUV5mVht4HRgA3BO13IAbgAedc6Mjyy4iPJjYH3h2d/stbw0Df73P/JQrKN9Up3yTX6rUsHhRDSsfP+cO/s5fufszd0hs/qWpYb4bSMzKymLatGllfn1OTg7lLYCpSO1SPLVL8dQuxVO7gJkt9DqGGHkOeNs596WZ3RO1vCXQGBizfYFzbouZTQC6s4eBxPLWMPDX+8xPuYLyTXXKN/mlUA2LC9Ww8vFz7uDv/JV7ltdheCaR+ZemhvluIFFERCSezOxyoDVwfjGrG0e+Li+yfDnQbBf7u4LwJdI0a9aMnJyccsW3evXqcr2+IvFTrqB8U53yFRERkWSggUQREZEYMbM2wL+Bw51z+bHYp3PuOcJnONK5c+dyXxYG+OqTXT/lCso31SlfERER8ZputiIiIhI73YD6wM9mVmBmBcCRwDWR77efYtOoyOsaAcsSF6aIiIiIiEjpaSBRRHYp+4V7GHVlT7KHD/Y6FJGK4j2gPdAx6jENGBX5fi7hAcPe219gZlWAHsA3iQ5WRPwj+/m7eWtAD8Y+dTuhdasJbVyL27KJ7P+p1ouIyM5mjB7Kpzf0ZsbooTuvcI4xz9+tuuFzurRZRP7C5efx9ZV9aPHNMloAoQkj+WbcGDqddxlVepyC1chkc/YINo//lGo9+1KtT3+vQxZJCs65tcDa6GVmtglY45ybFXn+KHCXmc0hPLD4f8BGYESCwxURn5j4j/60GP0DBvDNB/z6xAeF6/YCWgB5X48kG+gzYJA3QYqISFKYMXooDHqRvYLgsl/kqydeJC1kZGwNUWUTNA8azYB81Q3f0kCiiOxk4+ejmHPfYOotdzjAgICDzGmryZk2hIK0B9lWx6i2xoEDPviOrGFoMFGk5IYCVYGngExgKnCsc26Dp1GJSEpa9ditZL7zPeGKDiFgRivjl72Mdgsd7Rc4AkBGAWyckA3qEIqI+NriESPJCoarhnOQtgn+bACbG6RTf22I1ouj6saXn6hu+JAubRYRAIJL5zPj/B4svO5e8jc4Pu6aQV46BA3y0mHUGVm8fEojxnZKZ3M+4AzDCIWMmR+P8jp8kaTlnOvpnLs26rlzzt3rnGvinKvinDty+9mKIiKx4vLzyLnmRFY+8xE5jYz8SE3PT4eMk07j0vsnkHbqKeHlkde0mrGazRM/2O1+RUQkdU3/R3/2/nkrjh39wNnnnMS5n/zCgNGzqHzeueSlhz+UAtjnx3VM/veV4RFH8Q2dkSjic9kv3EPg3Xdp8EcelfKNLzqlseHcy7jjxL/z+Uv3kzt1HJldevHPyCdNoVCIQUP7c9arM6gUDJ+t+F0N6OpxHiIiIhIWXLWEuRefBPM2M7ZTgN/PvI7j160orOlnRmp6yysfILtSVVZO+ZzZ1bbS9+sNzLvmNprePJv6F9/ucRYiIpIorqCAb684llrfLGXGPsY3+xxI29yF/FyvPZecdWfhdn0GDCIbyJ06jg1NGtJkwiz2eWUCY7/vjOt1NGtmfEtml1663DnFaSBRxMfGPnsXzR99l4CDEMbovvW49J/v0axWfSAy30WRIhAIBGh//EAGFwyk++wCjvzJccjY31hz6ljqHtq7uMOIiIhIgnw55BpqjxpHxhbj1WMq0aLfMB477JjwymI6dttrfTAU5IbhN9Dntc9Jf/BF5nz+EX9WC5DZ9Wh1CEVEUlho41qmnnc0dX7dzFcd0znkgbfZN9CQKfNXc0mrehy8d+ZO20f3EXNWLOSzW8+gx9RNMOtDmhoUaO7ElKdLm0V8rNKI9whEzkJ3BvttTi8cRNydczr04OyTn+KXsy7izUsOIZAPvw38O6u+HRPniEVERGRXPn/iVhq9+CVVthihNNhvv2O4dvsg4h6kBdJ44rInmH3nDfzSwqg3bRXtJ6yg0bCRujOniEiK+vzxm/n2qG7U+XUz7x9ZjWOfHMvBLdtw8N6ZDDyq9V8GEYvKarg3V770HTPaZWBAmoP0YPiMRUldGkgU8alfhgyk0XJHMBCe/6IgDTK79Crx68/p0IMXTr2doTe+wtSrjyeQD/MGXs/yb8fGMWoRERHZlYy3PgYiN0oLQfWfvy/1Pm7tcyVrszJxhDsK6hCKiKSmsc/9H02e/oRaGyA/AG0P7kur+o1LvR8zo97xZ1CQFr4XJ5SuXykVjy5tFvGh3Ekfkv/aFyxobqw/pTcZs2aWay6L6658mKctwCFPfcT8a//O0jNPIvT771Q98jja9r88xtGLiIhIUWtGP0WDFY6CAJgr/QeE0Vp0O478ySOpVBDeV+YhR8Y4WhER8Zq9+W7hmWUBB1umTyrzvrbPnZg3YhSt/3SwdGFMYpTkpIFEEZ8J5S7n19tug0rGsoFXcNVpN8Zkv9dc8RDPW4CDHv+AjOHhOz66ST8zGzSYKCIiEkehdauZP/RJ1mfCtBM6s9eiReX6gHB7h3D1e2/QaW6IBr/Pi23AIiLiqRXj3qHx4hBBCz8vz4dP2/UZMIjVp1/NtFOOpO7b37DguPG0PLhn+YOVpKNLm0V8xIVCTL70BGqugc9ObRuzQcTtLr98CDltawCGYYRCxuKv3o3pMURERGRnM285l+rr4MPe+3DrP17h3GfHl3uS+z4DBtF1+Of81NIIfDSdzbO/i1G0IiLiJZe3jd/v/T82VoWvzu/IrCMasfymfjG5OUq9Og2odMuNVMqH2f8YSEF+fgwilmSjgUQRH5nxz0uo+8smsrtX5fY7RsblGCuP6kQw8pclZDCvY/O4HEdERERg3eejqDRpEV91SOOqa4djZjHbd6v6TVh2fn8cxrSbLsOFQjHbt4iIeGPaHedTZ4VjbO/GDPzHyJh8+BSt10mXM7P33rTMCfH+LSfHbL+SPDSQKOITK8aMIPD2VH7e2+g9+A2qZlSOy3G6nnEN95+XwcqasK0SHHBon7gcR0RExO/c1s3Mvncwa6sb6/vdQJuGDWN+jGv73cXnh9WkwYI8Zj16S8z3LyIiibPmu/FUHvMT37c2Lrrjtbgdp9/QD5iblcY+X+Qw+YPhcTuOeEMDiSI+MOe5h1h862C2ZBibb7yZ9s33jduxOjbsyB2Xv8y4yzpTNQ/WPnB/3I4lIiLiZzPuOo/aqxyfHNWMW065NC7HCAQCHHvXK/zeBLa99in5S3LichwREYkvFwrx6x3XkZ9mrLu0P3tlNovbsSpVymC/Bx4nPx22PfAQIy8/guzhg+N2PEksDSSKpLjZrz9P8JEXqLzNqJ7nOGRN/C9L6tiwI/de+SrTD65B61lbmPTCP+N+TBERET/5/pGrSf90DrNbQL+bXiMQiN0lzUUduNf+zD7zGKpsgW8vPYVVd17A5uwRcTueiIjE3ox7r6TO4gI+7VmLq069K+7Ha9upF791aUSjXOgwcSWNho3UYGKK0ECiSIpbMfo5As4wgATf/OSIf7/G6loQfGEU2zbkJuy4IiIiqWzG20Oo/Nx4Ag72WQrBb16J+zFvvOpRftw/jboL8ljx7nfk3DRYg4kiIhXEutk/YO9N5JcWcOqdwwlYYoaCAoCLfE0PQu7UcQk5rsSXBhJFUpjL20Zg8UYcEDQoSEvszU9a7tWGBad3p+Ea+OSW0xN2XBERkVS2+M23CDgwIC0IC778LO7HTE9Lo36DxjjAMEIhY+bHo+J+XBERKR8XCjHrmvMJFBi/H9qMdo0PSNixM7v0Ij89PJi4/blUfBpIFElhU/91OfXXwZs9Arx5RIAH+mfQ9YxrEhrDebc9z8/7ptPq62X8PO7thB5bREQkFVVbummnDwlzW3VJyHG/37c5BZHeQygA41rUTchxRUSk7MZefxp1l4YIhODY9xcn9PLiPgMGseymfixsZpiDSrUyE3ZsiR8NJIqkqII1ywh8/B3zmsLhdz7NXtfeyJ2XvUzHhh0TGkcgECDrriEEA/DHkHsIBYMJPb6IiEgq+fP9/9JoJXzdIYOJnTP53zFH0OGM2xJy7H36XMq/zklnUwb8WS/8XEREkpcLhag9ea6nlxf3GTCIDs+NZFsGrHvp2YQeW+JDA4kiKWrCHRdQcxPMP+kIjml1JJe1vyzhg4jbde52PD8dtRdZC0N89n+nUnvmC7DoW09iERERqcjmPvs066vClovuJzTgFS658UEO3jsxZ3ic06EHZ5z2NJ8eVo2WK6DTnB8TclwRESmb2c89SK2NEAzsOIvdi8uLm+1zIPMObcD+84J88vL9CT++xJYGEkVS0Po506n3zZ98v1+AK6593OtwADjrgdEsagQNPpnH5DdG8OOjZ2owUUREpBSWjX2dJvPz+bZTDa47/gQGHtU6YYOI253ToQdHD3yS9VVh0fDnEnpsEREpORcKsXbka6ysBdOu6smsIxqx/KZ+9BkwyJN4jrrnBTZVgfxRI3DO7fkFkrT2OJBoZsEYPLx5p4r41NS7ryIQgoLzB1C1UmWvwwGgWrUabDi4MdW3wd7TMyC7Ol+NftrrsCTFqYaJSCr5+YmH2FQZ6vb/P8zMszi6t+vG9INr0TSngIWfxP+O0X6mOiYiZTX7fw+SudwxuXsml/z9Gc59drxng4gADVrsS063Zuy3IMT7z97pWRxSfukl2MaAhUBOGfZvwBFleJ2IlNGisSNpOmsjXx9UmcvPusnrcHayYVtNYFnh/BwLflvDkV4HJalONUxEUsLWHz+n8dxtfHVoNa7qdbLX4bD/lfex6bvr+fOZh9n7+Au9DieVqY6JSKm5UIjc118nVAuOvO5hr8Mp1Hvwy8zpcwxp73xA6PL7CaSleR2SlEFJBhIBXnTOlenWPmYWKsvrRKQMnOO3/9xPzcqQde39np6tUJx6R51O/vghVArueC6SAKphIlLhLXr5aepXgoyzbyYQ8L6+9zrkWJ7tWJ3Dp25iyYT3aXrEKV6HlMpUx0SkVOYMH0Ld5SE+Oq4ut+7TzetwCtVu0IzFPVrRNns+ox+/nrNufNLrkKQMNEeiSAqZ8fw9NFkYZGq3uhzb7QSvw/mLk868mD/+eTsLGwdwQFbDxM7rJCIiUhGt++FLmszZwrftK3Nx33O9DqdQ8wF3klcJZj1apjEuSUJmNtDMZprZ+shjspmdELXezOxeM1tiZlvMbLyZHeBlzCKyMxcKsfq111hVC3pe94jX4fzFcfe9ytoaUOPDceTl53sdjpRBSQYSGwAPleMY5X29iJSAy9vG+pffYnkdOOqOF7wOZ5dOOvNiMm6+AxeA3x6/1+twJPWpholIhTdtyO0EA1Bw2tWkpyXPeQAnHHkG0ztUpunszaycPs7rcFJVouvYn8DtwEFAZ2Ac8J6ZdYisvw24GbgOOARYAYw1s5rliFFEYmjOS0OotyzEt93qccg+h3odzl9Uq1WXFb3+RtYSx9v/udLrcKQM9vifiHNutXNuS1kPUN7Xi0jJfHLFMdRfDb+2q80Be+/vdTi7tU/7HvzSoQb7/byV78eM8DocSWGqYSJS0eW++G8azdjAr1lpXHrqZV6H8xeZ5/+dUAB+GKKJ8+Mh0XXMOfe+c+5T59w859xc59w/gA1ANwvPmXMD8KBzbrRzbhZwEVAT6F/WGEUkdlwoxMpXX2NVTTjyuke9DmeXjr/3ZdbUgiYfTGbEFUeQPVxntlckJZ0jUUSS2Jhn7qTllFU4oMuUdWQPH+zpHblKosOtQ8i7cCALnxnCQcfqf08REZGiNmePYMnQVwg444CcAkLj3oA+yVUzTz/uEl568VE6z1rP2xd2p2bP45L+fxApGTNLA84CagDfAC2BxsCY7ds457aY2QSgO/BsMfu4ArgCoFmzZuTk5JQrptWrV5fr9RWZn3MHf+dfmtyXv/8sDZaG+OSYupyRXr/cv3PxtLhtJu2n5tJwwkryvxnJO5s2ctBJ1+y0jZ9/7pC8+e9xINHMKgODgZOBysBPwGvOubfiHJuIlFDBBx+yfdr19CDkTh0HSf5P/N8O6sXITrXoMG09Uz58nq4nXe51SJKCvKhhZjYQuBLIiiz6GfiXc+7jyHoD7iHcscoEpgIDnXM/xysmEamYZr77CrWcYUAoZMz8eBRdk2wg0czIa7MvaTN/oe23ueR/P5Js0GBijHhUx9oDk4EqwEbgNOfcT2bWPbLJ8iIvWQ40K25fzrnngOcAOnfu7LKyssodXyz2UVH5OXfwd/4lyX3zp6+x8rX3WFcNet7wZNK315TK6TjCl8mmByFv1rdkXTf0L9slex7xloz5l2SSlf8AZwPDgUeBpcBwMxttZjE/o9HM7jSz7yKT+640sw/NrF2RbTTJr0hEwfo1NFgaJGQQNChIg8wuvbwOq0Q63/E42yrB8ucf9zoUSV0JrWERml9KRGJi/toVGDvq+7gWdb0OqVi1VoTPmNjeGcydqvkSY8iLOvYr0BHoAjwDvFy0PyYiyWVz9ghybv4XNTZAja2Otr/P9jqkPcrsegzByIhUKFBx+rBSsoHEs4DznHMPOeced85dBbQmfKbFHXGIqSfwNOHT43sBBcDnZhb9n5M6YSIR4wdfSo2t8PUxTZh1RCOW39SvwpwFsO8BXZhzcCb7zS1g4lsaTJS4SHQN0/xSIhITLj+PrPlbWNAQ3jwiwH3nVmKfPpd6HVax6nbpRUFa+Htn6gzGmBd1LC9Sw6Y75+4EfgRuBJZFNmlU5CWNotaJiAdmfjwKQpFr1Fz4DPZk12fAIP4ceDJ5afBHE53JXpGU5FOsKoQH6go555ab2Y3Ai8C/YhmQc65P9HMzuwBYBxwGfFi0ExbZ5qJIjP0pZm4OkVRVsHEtNcbPYV4z4/z/fEK1ylW8DqnUuv/jGVadcS65Lz0HZ/3d63Ak9SS0hhWl+aW85adcQfmmmqVvPUTmesju0ZTfO/egS83WdKnVIinnu2rT60KmrMtlr9c+w6XBfj3P19+q2PG0jkUECF9WvYDwgGFv4DsAM6sC9ABuTUAcIrIL0zLyOBoIseMM9q5eB1UCfQcO4Z1p39Bm8irGffQ8vU7UdFcVQUkGEr8CLgWK3ortT/76aVQ81CRcvHIjz0vdCRNJVV/+cwDNN8LMs7tXyEFEgKzWB/LNoQ3oNHEl4159kF4XxOXDdfEvT2qY5pdKHn7KFZRvKvl97FcEa8LxV/+XLq33JScnJ6nzzbrxEZ5aNIten/zJpklv0e7C28u/zyTON4ESWsfM7EHgY2ARO86W7wmc4JxzZvYocJeZzQHmAv9HuM6NiHUsIlJyLX5fxrZ0+OBQY0ardM5O0jPYi3PIzQ+z9uyLWP7q06CBxAqhJAOJdwDfmFk9wvNyzAEygOsJTyAfb48RPp1+cuR548jXEnfCYnk2hz4dLZ7apXjxbJfQ5vXU/HI2vzc1epxyS1KeobArRdtlv8sGs2Ha1RS88DKvT/iYqh26/eWOXX6g36O48KqGbZ9fqjZwJuH5pXrG8XgikkKWT3yHpn8E+fKw2lzTel+vwymxblcPYf2X57HuzRExGUgUIPF1rDHwWuTrOmAm0Nc5lx1ZPxSoCjzFjhuGHeuc2xCHWESkBNb98h37/LqNSR0rsfDk8zi7VXfO6dDD67BKrEW7Q5netiptf97CrB/G065TT69Dkj3Y40Cic262mR1J+GyIWYTnLAwAq4FT4hmcmQ0DDgcOd84Fy7qfWJ/NoU9Hi6d2KV682mXsbWfSfCP8dFZXTmyzf1yOEU/R7ZKVlcUb+1Wjw4zNNF22ioLJH/Jr9Rq+nCdDv0ex5VUNc87lAfMiT6eb2SGE55e6P7KsEfBH1Es0v5SIFPrx6SE0ToO6Z9/sdSilctC+B/F8u2p0n7aZ1TO+pt6Bh3kdUoWX6DrmnLt4D+sdcG/kISJJ4Nuht9DUQfXTL+GFU2/0OpwyaXn5LWTccB/TnryLdi9843U4sgcludkKzrmZzrmuwP7AuUBfYF/n3JR4BWZmjwD9gF7OuflRqzTJr/hecNN6anz5M/ObGP2vf8rrcGIiVKMaDkhDd3yU2PKihhWjuPmlgJ3ml9J/TSJC3rKFNJq1nplt0jm795leh1NqNc+8DIBpjxa9ElfKKknqmIgkoYLVS6n3wwp+3DdA/9Mr7nzzBx7Xn/kt09nvh1yWLv3d63BkD0o0kLhd5O6T7zjnxjrn1scrKDN7jB2DiHOKrFYnTHxv3L8uo84GWHLsoVSvUtXrcGKi7mG9CUb+IoUCuuOjxF4Ca9iDZtbDzLLMrL2ZPUB4fqnXI2dyPArcbmanm1k74CU0v5SIREx66O9UzocNR/clEDCvwym1s0+6kpmtA9T/YSUF6zRlRywlqo6JSMXx9b+vpeo2WHtMT9ICaV6HUy5VzziTWpvh86EDvQ5F9qBUA4mJYGZPAZcQntg318waRx41oPB0enXCxLeCmzdQ/YufWNDE6H/jM16HEzN9BgxiwdXHsy0dljbEl5c1S8rYPr/Ur8AXwCGE55f6NLJ+KPAI4fmlpgFN0PxSIgK4gnyqTJrLvGbGeQMGex1OmQQCAdYc0YVqW2HKwxXzEjsRkYrA5W2j8sRfmNsczr9iqNfhlNtRlw5iSUOjxZSFbN6sf4uT2R4HEs3sFzMr810PyvD6awjfIewLYGnU45aobdQJE9/64l+Xk7kelhzTOWXORtzu5OseZvZhjdhrKXzx2hCvw5EU4EENwzl3sXNub+dcZedcQ+fcMVGT1OPC7nXONXHOVXHOHemcm1XWGEUkdfzw/N1kroOFh+xL7apVvA6nzM6+ahiL6oMbNw0XCnkdToXmRR0TkYrh+8dvp/Z6WNCtDbWrVPc6nHIzMzYd05VGufD+MP3ZSmYlOSNxf6B+OY5Rqtc752wXj3ujtlEnTHwpuHkDNT6fQU5jOPemZ70OJy56/uO/bKoMm0a+6nUokhoSWsNERMpj9XsfsaYG9LrmEa9DKZcGNevwa+cm1F/l+O3NJ70Op6JTHRORv3DOsenDMSzLhBOvfdTrcGLmuFufZE0tqP3ldELBMt9vV+Jsj3dtjuhpVuY5WlxZXygiO/vwmr60WQ9zDqpPjaqpdTbidk322p/xhzSg46SVjB/1CD3P1WVRUm6qYSKS9BY9cRvNFwb5qV0VDturldfhlNvBl/2LjeMvZe2I4ex3bsW9AUCSUB0TkZ3MH/0MDZY7xvSuz1GNsrwOJ2YyqlZjabd9OCD7d97q15lKPXqTdV3Fv2w71ZR4IDHyEBGPZD93N/tNWY0DDpq0iuzhg1N2HsEedz3F8lPPZu3rw0EDiVJ+PVENE5Ektjl7BOuf/gDDOGD2FjZnj6Ban/5eh1Uu3dt15/kDqtBt+lbevqgbNY/sm7L/tyRAT1THRCRKzkvPUrMKdLzifq9Dibmq+/4Nl/077WduJe+XD8muXkP1I8mUZCDxqBgcJycG+xDxtbwP3mf7Z9HpQcidOg5S9A9q81btmXRwXdpPXsPEd56mx+maI0PKTDVMRJLejPdepbYzDAiFjJkfj6JrBR9IBAi2aklg+mzaTl1L/vSRZKObqZWB6piI7GT503fTeF4eM/6WTv/2R3gdTsxt+OlbHOF5+FK931tR7XEg0Tn3VSICEZFdC27ZRP1l+YQAZ1CQBpldenkdVlx1veMJcs88j1Uv/xc0kChlpBomIhXBb+tXcAgQjNT4cS3q0tXroGKg9oo1gDqD5aE6JiLRNmePYNUTb2EYB/6anxJnsBeV2aUXBV+PpFLBjueSXEpysxUR8djnD1xBnY3w7RH1mHVEI5bf1C/lP9HPanMQczvVYb+5+Xzz0XCvwxEREYkLFwqx94LN/FkP3jwiwH3nVmKfPpd6HVZM1O3Si4K08PchU2dQRKS8fnrnZSxyBruLnMGeavoMGMSym/qxtEH4w7X9Djve65CkCA0kiiS54LYtVBv7PX82gLMeHcO5z45P+UHE7Q69fRj5abD0hce8DkVERCQufnjpfhqugR8ObcLivhdy9slPcU6HHl6HFRN9Bgzi12tPZn0VWFdHlzWLiJRXzpoVGDufwZ6K+gwYROVmoxmwAAAgAElEQVTrr6NyAXzz6M1ehyNFaCBRJMmNfeAK6ufCn0d3pEa1al6Hk1AtD+jG3ANr0WZOHt9mv+51OCIiIjG3/J232FAVTrr+GV449faUGUTc7qyrhzCle13qr4Gln6mWi4iUVXDzBlrO38rcJql3BntxDj/zGnKaB8iatoINa1d7HY5E0UCiSBILbttCtexpLK4PZ932gtfheKLjLUMJBmDpY/9m1JU9yR4+2OuQREREYmL5j1+x1+/5zGpfnbZZbbwOJ2726ncLWyvBL/971OtQREQqrKlDr6fmJpjWc5+UO4N9Vzb07E7dDfDxf670OhSJooFEkSQ25sEraZALi48+0HdnI263X6cjmd8qnX3nh2g3YTmNho3UYKKIiKSE7x6/G4B6Z6f2TcVOOewUpv0tnQazN5C/eL7X4YiIVDguFCI0djJ/NICBN76ckmewF+egc25jRSbUnfgzwYICr8ORCA0kiiSp4LatVM/+jsX14Yzb/Xk24nbbMqsDkOai7vooIiJSgRVsXEujH1by/+zdd1yV5f/H8dd1DksEFRcqQxyoufce5QjNljbUSivb22yYDTWaWmna13KkWZrb3ANXjpyoufdAnICKgICMc67fH+do5M9KWfcZn+fjwUPhPuc+7xuRz7mu+xr7K5u4756njI5ToEwmEyntO+JpUWz7Wta6EkKI27V7wqeUugiHmgZTrlgpo+MUGg9PT+JaVSckDpaMH2h0HGEnHYlCOKiooS9Q5hKcbV8PP9+iRscxVMCd92BVoAGLSXZ9FEII4fzWfdMPv3RIbtsCk8n135L3eeJjDoSAecNBdFam0XGEEMKpXJg1k0t+cNdr7rdERKf3fuBKEbAsWmp0FGHn+u9ahHBClswMfKO2cq4UdH/PvUcjgm3XriNPt8Vigthgk+z6KIQQwvn9vpVzJaH7K8ONTlIoShctxuHGofgnw/FJXxodRwghnMbFTUuoEGthd4Pi1AmrZXScQhdQujzHGpQm/JiFzUsmGh1HkIuORKVUJ6XUMKXUZqXUWaVUplIqSSl1RCk1Syn1klIqqCDCCuEulg19gcCLcKZ9HbcfjXhNt3fHsr9hMSrHWtmwcLzRcYSTkhomhHAEe3/7gfLnNUcbliPAr5jRcQpN0z6RXPKDM7NnGx3FaUkdE8L9xM/8kaueUP3ZD42OYpiGr3+JxQyxP//P6CiCW+xIVEr5KqXeU0qdAJYBbwNNgRJAPJANVAYeAkYDJ5RSc5RSLQomthCuy5KVSdFlWzhfErq9J3dccmr6/ndkekD8+FFGRxFORGqYEMLRxPw6nque0OiFz42OUqja39GMrfWKUOZkFqnb1xgdx2lIHRPCfV06sJ3gQ+nsrOVN+2b3Gh3HMNXqt+JwDR+q7U/nxP4tRsdxe//ZkaiU6gscAT4H0oGPgU5ACa21r9Y6WGtdCvAAagJ9gTlAF+APpdQMpVRoQV2AEK5mzit3E3gRTtcIwK+on9FxHEqlmk051LgkNQ5ns3bWSKPjCCcgNUwI4WgSj+0l9GA6e2t606iO+/XzmO55jGwT7Bw52OgoTkHqmBDubfOw/pis4Pfo00ZHMVxgn5fxzoK9b/YlamKk0XHc2q2MSPwR2AI001rX1FpHaq1Xaa2Tcz5I2xzUWk/SWvcCygH9gNbAU/kdXAhXFDV+ELXWxaGBOlsT5RfkTbT68AfSvCFpkkxvFrdEapgQwqGsff8pPC2QVSnM6CiGePbe14iubsJvRxwJb/UkLWqq0ZEcndQxIdxUxqU4Av+MZ2+4iYcefM3oOIZLu3gOq4IqJ60EDp8mbWUD3UpHYmOtdXetdfTtnFhrnay1/g6oAszMVToh3Ez6grmYAAV4WCBxy2qjIzmckCp1OdS0DOHHLKya/IXRcYTjkxomhHAYUeM+otquVDTQcNEht2wEFfX2JrNiebyyFQmLdxLTP1I6E/+d1DEh3NTvn72I71W41K4VJpPsk5u4ZTVoW1vZM1vaykb6z59GrfWOvLyA1vqq1vpgXs4hhDtIS7pAuTPZWAGLgmwzBDRrb3Qsh9R+0Hiu+ED6r1OMjiIcnNQwIYQjyVi8AIXcMKySaUYDCoXVqti9eLrRkRyW1DEh3JM1M4MSaw5y0R9Ke7rPplz/JqBZe7I8QNs/L964taF53Jl0awvhIJZ89DjF02BHp2D2tg0krn8vIvoOMjqWQyoXUp0jLcpTJcbK8vHyPRJCCOH4tNVK8YRMuWEIRFcqT7a9FWI1weqQksYGEkIIB7Pg1XsongoBKRA+frFbjmC/UUTfQcT178X+Gl6YgIzTx42O5LY8bvcJSqkyQEugBhAAZGBbAHit1vpU/sYTwj3Exx6k4vpYjoaaeHxklAxdvwV3D/6Jo1s7kz1zNvqZISj5nolbIDVMCGGUndOHU/YSRDfyxcvPn4Bm7d32hmGViGf4NH0b7862EBdg+1zcmoKuY0qpgUB3oLr93JuBgVrrvTkeo4DBwPP2DFuAV7TW+/L6+kII242nctvPorGN/Lo+gt1Na0ZOEX0HcfXxd9l0VwOKrf4Ty0dZmD08jY7ldm67IxGI46/RpCrH31FKbQa+0FovyodsQriNtYOfoXY6mPv0lk7EW1S6XEWWtwqhwfJTLPt+AF1e/croSMI5SA0TQhji3NRfKOMDjYf8RM3wukbHMVSPum3Q+nsWnnmFnmuzCb10wehIzqSg69idwPdAtP38kcBKpVRNrfUl+2PeBd7CtonLIWAQsEIpVV1rnZKH1xZCAOtHvUuZVMgygUm79wj2m/Hx9uFMu5o0mrufFd/2o/Pbo42O5HZy02NxApgNfA0MAb4C5gIJQAtgvlLq+/wKKISrO/bnWsK3XWJ/dU/ueeI9o+M4lS6DfibRD7ynL2L68+1kyL+4FVLDhBCFLnbzEioey2JvXT+370S8pme9tnhEPEm6Fxz47kuj4ziTAq1jWusIrfVPWuu9Wus9QG+gDNAKro9G7Ad8qbWeYx+p+CTgDzyW66sSQgC20YhZ85aQUByOv3Yfe9sGcvyF+9x2BPs/6TpgPBeLgWnJ76D1fz9B5KvbHpGota5ys6/bi0onYBjwglJqp9Z6XB7zCeHydn3Zn3ALlHv5XaOjOJ2A0uWJucOfBtEpBK6LJ2vjNKJACq34RwVdw2RKmBDiZnZ+9zGVFAQ/KTcMc3r9npf4ac4kOv6ZRNaRXXiG1zM6ksMzoC3mj23wSaL980pAOWB5jkzpSql12KZcj82H1xTCbW388WMqnNf80TmY514aBkBMTIyxoRxQQImSHG0eSrPlsaybMJi2z8qAksKUm6nNN6W11sBypdQfwHbgZUA6EoX4F3+umEq13WnsredLz4gnjI7jlJSPD5oUWT9E5Ek+1rA7kSlhQogcUk4fIWR3Mnure9Krw0NGx3EoxX2KEtu2NWrHWo58NZCa45YYHclpFWBbbCSwE9hk/7yc/c+4Gx4XBwTd+GSl1PPYbpwRFBSU5w6Rixcv5un5zsydrx3c5/pTZ85G+UGd3kOu/39xl2u/mX+79jv6DCLpj2dJnTWHmI59CzFV4XHUf/t860i8RmudppSaD7ye3+cWwtXEjvqSUA+oM+Abo6M4rZItOpK9cRqeFtBK1g8ReZPXGqa1jsj5uVKqN5CEbUrYwhunhNkf8yQQj21KmIzkEMLFrPnyFapmgb7/UaOjOKTnur3PpqXraLz5ONbEeEwBZY2O5NTysy2mlBoOtAZaa60tucwzDnuHZuPGjXVYWFheY5Ef53BW7nzt4PrXv2XyMEJOW9nYIZBnGrX62zFXv/Z/80/XHhYWxqQmZWi2NoFL2xfR8KFXCzdYIXHEf/s87+qglGqulGqglCqllPJTSjUC7uP/36USQuSwZspQqh3JYn+TktRqcKfRcZxWRN9BnOvfg/jikOUBtVp2NTqScCKFUMNuaUoYcG1KmBDChVjSUii9+RSHQxWP9nnf6DgO6Y6yoexoWgnPTMXpbwcaHcfpFFQdU0qNAHoB7bXWx3McOm//M/CGpwTmOCaEyIXEKb+Q7Avt3pblum9V0zdHkOYN5ybJZNjClB8jEt8AbrzFmgG8kA/nFsIlaauV9J/thWLIBKPjOL2IZ4awqkRpvD8czdYhLxA8fZvRkYTzKOgalqcpYSDTwvLCna4V5Hod0Z7xA6h6BXZ2qc/pU7F5OpczXG9u1Wv9PAdXvUfYko1YnjiM8vRy6evNZ/lex5RSI4EewF1a64M3HD6BrcOwE7ZlPFBK+QBtgHdy+5pCuLvtc76n4kkLm9uW4ulKNY2O4zRq1mjEpPrFaLIlmSOrZhLeQUb/F4b86EgcDhwBIoAm2Nfk0FpH58O5hXBJM1+PoO4pKzsb+tEstIbRcVxCh4deZdrMidTZlUr0ggk0uf8ZoyMJ51BgNSw/poSBTAvLK3e6VpDrdSTaauX4+t2cKwk93h1LSX//PJ/Tka83L56tWJH+jb+gxvwkiq+ZQcnnPgJc93rzWb7WMaXUaGw7NT8IJCqlrt0Au6K1vqK11kqpb4H3lVIHgcPAh8AVYGreLkUI93X+pzEEekPzt0YaHcXpVH8lkuzt/Tj5VSTbZ35PQLP2svlmAcvz1GatdbTWepDWuhlQE9sdqhVKqSZ5TieEC1o67iNqrzyNBu7YfYWoibLDVH6pP2g0V73gwv+Go61Wo+MIJ1BQNUymhAkh5r/zAOXj4XRlv3zpRHRlSinKdn6J8yXg1MRpXBjYG/OGBUbHcgoFUMdexrYsxyrgXI6Pt3M8ZhgwAhgNbAPKA3fLhmFC5M6uxT9T+WgW+xoV547qjYyO43RaNI3gUCUzYTEWaq+LI3D4NGljF7Db7khUSn2llPK92TGt9UGt9X3ADuCrvIYTwhVlz52LCdt2rtd3GRb54o5aLdjfNoiwWCvLvnnN6DjCARVGDbNPCbvWifhvU8KuPf7alLCNuX1NIYRjiZoYSfiSo2ig7k65aXgr3mzdi11VzXglahLmRpP6+fekRckAtxsVdB3TWqt/+BiS4zFaaz1Ea11ea+2jtW6ntd6bqwsSQnBy3AjSvaBBv6+NjuK0MkvYfi2atbSxC0NuRiS+BRxWSr1sb/zczA5AutKFuMHB6JWEnLJgVWBRkG2WXYbz2wOfzuR8SfCbs5qryYn//QThbgq0htmnhD2NbQfmRKVUOfuHH9gaX8C3wAClVHelVG1gEjIlTAiXkrx8ASYtNw1vh4+nF2U9i6MBUFitcH6ZjEq8CWmLCeFC5kU+SZVDGRyt7EHduq2NjuO0ytx1L1YFGrCYpI1d0HLTkfgS4Ad8B5xTSv2klHpaKdVCKVVHKfU48BSQmo85hXAJBz/pjwL29WzM3raBxPXvJes35LPixUsS160NpS/Dkvd7GB1HOJ6CrmEyJUwIgV9Cmq0xIzcNb0tizaZY7K2TLJNibUglYwM5JmmLCeEioiZGUnXaVhRQ/Wi2jF7Pg4i+g4ju3ZxsE8SXN0kbu4Dd9mYrWuuxSqm5wGCgL/Ak0OeGhylsjSQhhN38Ea9T/XAWf7YuzWODJxsdx6U9+tYYFqyqQ8X1pzi9fyvBNZsaHUk4iIKuYVprdQuP0cAQ+4cQwsWsmD6UsDOavbW8sZQuIYu+34YLzSrz+RUTA+ZYiQmE2MYVjI7kcKQtJoTrSF6+gBD76HXztdHrUi9y7en3f2LMkSa023SFo/PGUfXB542O5LJytdmK1jpea/0KEAy8AswG9gCx2HYK+wAYkF8hhXB2iRfOEDBjBfEBcO9Xc4yO4/JMJhNFX3oN70zY+XZfpr9wp9zhE9dJDRNCFBSr1Ury5F9I84ZWX82g59g10ol4Gx6o0YaDVXz4raWJ6mfgwUuZRkdySFLHhHANJc7bBg7L6PX8U6vfNyQXgVOjR4LWRsdxWXnatVlrfVFr/YPWuofWur7WupLWuqnW+gutdXZ+hRTC2UW9+yhlLkPKY10pFlDW6DhuodMDL3Iw3IPKx2X3LnFzUsOEEPlt6sQPqXnMyulm5alQubrRcZxO/bL1+anzBDY0DSalCBQdN83oSA5N6pgQzmvRyP4En4ddDXxlyat81KZeW7a0KEW5U1YO/PSp0XFc1n92JCqliuT1RfLjHEI4q43LfqHmlkscrO7Fva/JTlyFKbOUPyC7d7kzqWFCiMKSlpmJ19z5pPlAx8iJRsdxWvXL1mdwx2EsaGYi63gq6cunGx3JUFLHhHA9GVfTKTJ7KReKQ5fRS2T0ej5r2X80CcXgwqRpaIvF6Dgu6VZGJJ5QSr2hlPK+3ZMrpeoppebz90XmhXAbluxsLo0YSpYZag4eZXQct1OqTWey7b/ltJLpAm5KapgQolCM+aE/dY5ZudyyIkXLhRkdx6m1DavH1gZ3kFIEzo34yug4RpM6JoSL+e3jJ6iQAPGdG1CiZKDRcVxO46r12NomiNLxmr3fvmV0HJd0Kx2JUcBwbLuC/aCUuuvf7moppSorpV5SSm0CdgD1gN/zJ64QzmXDhAFUOWnlWPtKVG/Yzug4biei7yDOvt2DM6UBDUFlQ4yOJAqf1DAhRIE7czmJCstXk+4N7T6W0Yj5oWfN3sxvbiLjRBppUVONjmMkqWNCuJC487GErtzP6UDFgx9OMjqOy+ry1lhOlYYrs6LQV9OMjuNy/rMjUWv9JNAc2AY8D6wEkpRSu5RSy5RS05RSc5VS65RSccARYDRQCdtCv9W11n/cTiilVFul1AKl1BmllFZKPXXDcaWUGqKUOquUSldKrVFK1bqd1xCioM0b8Qa1F+8nPgC6fSkbrBilc98hlBj1P9KKQMKwYVjSUoyOJAqRETVMCOF+vh/7OvWOabLvDMejjOw0nB/ah9RjU4NwUnwh7ttvjI5jGKljQriWqCG9KZkC6rFumD29jI7jsmpVqML2u8IpcRl2fvGi0XFczi1ttqK1jtZa3w3UAL4CdgE1gbuBHsADQGv7w38DHgNCtNZfaq0zcpHLD9gLvAGk3+T4u8BbwGtAEyAeWKGU8s/FawmR76ImRlJ13HJ8MqFEMqye6vbTcgzVuGEH9txXl3LxsKzfg0bHEYXMgBomhHAjQ9fMo9baaNJ8oNGgsUbHcSlPNn2Jec1NXD2RRtqyX42OYxipY0K4hl271lNzUzzHK5np+MJnRsdxeT3eGMuRCqDnbyXh7Z7uPro9X93Wrs1a6yNa6/e01k2A4kB1oCXQAAjSWgdqrR/RWk/XWmflNpTWeonW+n2t9WzAmvOYUkoB/YAvtdZztNZ7gScBf2xFUwjDJS2eg1mDAsxW2eTDETw16Fd2Vvcg9I+zHFg0yeg4wgCFVcOEEO5jxq51nJn/AQ2OazbUUMw+c9ToSC6lT727WV8vhBRfOPfFF1wY2NutG4JSx4RwbruH9qNIJoS89o7RUdxC5dLliasdTJGrioRFO4npH+nWNSQ/3VZHYk5a6zR7Mdustd6ltT6Xn8H+RSWgHLA8R5Z0YB22QiqEofbtXEvYsUysgEVBtlk2+XAEHmYPKn00nFQfiBs6VKY4uzkDa5gQwoVsX/Q/XlhmRQNt92qORU0wOpJLUUrxSN3nWF9TkRlnIWFuNLHSEASkjgnhbH4Z3IsGf6YRU8lM3XueNDqO26hm9UIDCoXVqti9eLrRkVyCh9EBcqGc/c+4G74eBwTd7AlKqeexrSlCUFAQMTExuX7xixcv5vq5rky+LzaZ2RkcHfgyYVmw574aZF1KoGj9ljRs3ydPP3euxqifl3Klw1nQpTqd5hxi2Wv3UeujSYbk+Cfy/0gIIZyH1aqpt+0AJm373MMC7U9dMjaUC3ql2YN8PT4STYa9IahJW7MU3wiZiCSEcA7LJg6h4cydmDQEx1qImhhJRN9BRsdyCxsqlqGr+TieFtvnq0NK0tzYSC4hXzoSlVKrgA+01pvz43z5TWs9DhgH0LhxYx0WFpan8+X1+a5Kvi/wy6sdaHLCyoHOVej51VxiYmLk+/IPjPq+vPjxLGbva0CdTXFkH1hH1S59DMnxT+TnpfA5eg0TQjimiX+sotrpbDQarcBkgrpdexody+WYTWYyatQhe/N2PK1gUYrt4eFEGB3MgUgdE8KxJS6eS0X7TSezxb7slXQkFooqEc8QmbGDhzZk0+CEpoHV2+hILiHXU5tvcBcQpZS6aeeuUspDKVUxn17rvP3PwBu+HpjjmBCFbtmvw6j/+1mOV/Lgga/nGR1H/AMvD0+CB37NlSJw/uMvmP5cW6ImRhodSxirMGuYEMIFZGRbSJw8kDIp4P9wMwIfbELY8EEySq6AnAivycePmUgoBumesNAn0+hIjkbqmBAO6sCxPVSMkWWvjNKjbhsevX80Mx7rwMkyUHbWWqyXZCWIvMqvjkSAVcAypVSzmxwrBRzPp9c5ga3DsNO1LyilfIA2wMZ8eg0hbsvpU4fxHv0TaT5Q79ufMXs446oB7qNts87sbhRAqctQZ30CgcOnSWeiKKwaJoRwAWNnj6fDlivEV/Ei5NOfKf3FZOlELECdq7ThUJAnX3c3UzQDnly+yehIjkjqmBAOaPOgJwlIhWP3VmNv20Di+veSac2FrEfdNszv/R3LO9fA94pi71uPGx3J6eVXR6IGXgJmY7sb1uQmj1G3ejKllJ9Sqr5Sqr49Y6j981CttQa+BQYopborpWoDk4ArgKy8LAqd1WrljzcfpewluPJsN4KrNzQ6krgF/soTK7ZfMJ7ZsrO2m8vXGiaEcG3J6ZkEzByNhwXqRX5jdBy30KNuGz5oOJKYssVZX9eE35YzZGxdaXQsRyJ1TAgHNHX8QJruSOd4PT/u/3o+PceukU5EA7320lhW1zNh3nyWtN9nGR3HqeVXR6ICtNb6WWAOsFwp1fiGx+jbOF9j4E/7RxHgY/vfrw0ZGgaMAEYD24DywN1aa9mGVRS6qR8/Rr29GRxsXpKOL31udBxxi0o160CWB/ZdvKBk4E33ahLuIb9rmBDChU0ePYDG+7M53yKQEo06Gh3HbfSq14436n3EL3cpsj0hbtAAtNVqdCxHIXVMCAdzLuEMZX6eR0pRaDtCOq0cQaWSZYl/5CmSiygODB6CzswwOpLTys+pzdc8C8wFViilGuXmBFrrNVprdZOPp+zHtdZ6iNa6vNbaR2vdTmu9Nx+vQYhbMiOyN3Vm7+J8Sbj3f0uNjiNuQ0TfQcT170V0M3+SfaHYsh1knjpsdCxhvDzXMCGE6zqbmETVhctI8oN2Q2UiTGF7plFnKFKLqW28SI1JI2XSUKMjOSKpY0I4gCUDHyb4AmT0uhv/CmFGxxF2H3Xrz293Fcc33krsZy8aHcdp5efUZttfbFOPnwHmYytgMs9TuKR5o9+h9tRteFqgZBKsmfmt0ZHEbYroO4gnf97Khj534ZsKm595CJ1x1ehYovBJDRNC3JLlH/cmNA6SHmyMd6kKRsdxS+83f4slja0kl4L473/BmpJodCRHIHVMCAey+LdRNNl0mRPhXrR7a6TRcUQOHmYz7Z4Zxa4wRfLsTcS92o20KLkxeLvyc2rzdfYC9jSwEFiJbaqyEC4jNf0K/tMWYcL2w2+2yhp7zuzN1//Hkk5lKRObzYYXOxsdRxQ+qWFCiP+0eeSn1F95hHOloePAn4yO47burdGUMh4tGHG3J1lX4PzLD3NhYG93bwhKHRPCQaSkp6BHjyHTExoO/dHoOOIm7q3ZlBP1QjFbFBdXHiCmf6S715Dbll8diRFAUs4v2AvYU8BiQBYFEC7DarXy27PtqHABsk1gUZBthoBm7Y2OJnLJZDLx3GeLWV/Pk1Kb4tj79WtGRxKFS2qYEOJfHZg6Hv8xU/DKhsBEzeEZ0pFopM/avcveiiZOB5tIij5DwtxoYt27ISh1TAgHEDUxkhUPNafKGU1C1/qUq3mzfY+EI2iZaravla/QFsXuxdONjuRU8qUjUWu9Qmv9/1aqtBewPsBv+fE6QjiCSW90pPH2NA418OfsWz3Z2zaQuP69ZAcuJ1eqqB+1IydzOBgsk1Zw/pv+MsLBTUgNE0L8lzOzx6O0su1oYVWcWTvX6EhurVloOFW9O7E96NqMXoW2Qtoa91yvWuqYEMaLmhhJuW+mUeO4FasCU+UaRkcS/2JDxTJ/23hzp6/sR3U7ct2RqJTyUEpVV0qFK6W8/ulx9gLWG2iR29cSwlH8HPk4zVac40RlD+6btI6IZwbTc+wa6UR0ES2r1yP+1f6keykujV9C/NxoGeruoqSGCSFuVdzJ4/jFpAB/zUI4Wj/Y4FTiq05vsS3cE4u9NaMV+N7ZxdhQhUjqmBCO5cLG5Xha7FuoA4lbfzc6kvgXVSKe4ZOensxrrkjzgqbrj2JNvmh0LKdx2x2JymYIkAjsBw4CyUqplUqpnjd7jn2X5a15SiqEwWaNG0i9mTs4X07RdvIKzN4+RkcSBeC5B58jtmoRbAPdFVarDHV3JVLDhBC3Q2vN9jcexj8dfuxsZmZbE1885kXzh142OprbCy9djtSwtgx63MyZkpCN4vfL8UbHKnBSx4RwPNmWbDzPX0YBFmTZK2fQo24bHr1/NPvu68F39/tQ5CKcevkho2M5jdyMSHwPGAR4A1uA34HzQHvgV6XUWqVUqfyLKITxVi6aQOiYeaQWhZrjpuBXqpzRkUQBOtKkDtlm+1B3DX8EFjU6ksg/UsOEELcs6pOXqHQwnU0t/enz/hRCX32Tgc/+TP2y9Y2OJoDSRcpyOMjE4CfMpPpAmVHjsKalGB2roBVoHVNKtVVKLVBKnVFKaaXUUzccV0qpIUqps0qpdKXUGqVUrdxfjhDOb8IHD1DnqIVj1b3Y206WvXIWPeq24deHBnNX96+Y21yRti2OpO/fNzqWU/jPjkSlVBullF+OLz0HxAH1tNYttdYdtdZhQEPgF6ANsFwp5V0QgYUobDOGvUCxD7/GIxtKf/EJ5as1NDqSKMXYQNUAACAASURBVGBVI57l416erKulsCpovmo31sQ4o2OJXJAaJoTIreM7NlD6t7XElINu38yjftn6PFvnWelEdCD3ht8J2kxyUcXYe8z4X9QkvP2E0bHylQF1zA/YC7wBpN/k+LvAW8BrQBMgHlihlPLP5esJ4dTmTPucZouOc7aCiYhpG2XZKyf0VMOO7Il4kIPBcPqH38jcvtroSA7vVkYkrgUuK6UOKaWmAaHAeiA254O01ju11k8DTwINgDfzO6wQhW3GVy9Re+I6/K6CpwViYvYbHUkUgmtD3Tc9/jgTuhYj4JyVnY90xJok62Y4oUKvYTKaQwjnZ8nK4tiA5zFbwPT2y5QqUcHoSOImetRtw4cNR2HKLsu2Kl6Ym5bn0upDpM4dZ3S0/FSodUxrvURr/b7WejZgzXlMKaWAfsCXWus5Wuu99tfzBx7LzesJ4cz2HNxEyVGTyfCGO0ZNwtNXZjE5q/HdBzG2awXSzIoTb7yGNSXR6EgO7VY6Er/CNmS+NNAD2/qhDwFJSqkDSqkpSqk37Q0nP631ZGAZtkV9hXBaf/yxgNDpa1DYfuhNVkjcIncn3EWPum34ufsHDBi0nEn3FMP7dDa7H22P9cplo6OJ22NEDZPRHEI4uaVvdSf4lJVtnYKJuPc1o+OIf9GzXlvGdhoDaF5rWw6vEibOfjoCS9xJo6PlF0dqi1UCygHLr31Ba50OrANaFsDrCeGwUtJT2P/2s5S5DPq1p6hQu4nRkUQe+Hn7MPCBkXzf1QPrBSune3fmwsDesunmP/D4rwdorQdc+7tSqjKwDzgEXMI2hP4x+4cGtFLqKGAGQpVSrYFdWmuXX6xEuJblSybhHTkUv6u2xXJNVlk0112VL1aclz5YyBjLPTy9LJW9j9xFlRdfIX3zWnzv7IJvhNyAd2RG1DCt9RJgif01J+U8duNoDvvXnsTWmfgYMPb2r1IIkZ/mD3qcyiuOcqwC9P5ygdFxxC1oHhpOs4CebE2awuZnu9Hwmzmc7tONog1q4XuXc9dqB2uLXVsk/Mb1XuKAoJs9QSn1PPA8QFBQEDExMXkKcPGi+84OcedrB8e6/u0LRqOWLKZujObYXRWpfWePPP9s/xtHuvbCVpjXXtHkh3eDp/hj/4+0PpDMlYPRsCAa//cvYGl1f6HlyMlR/+3/syMxJ631caXUASBFa90eQClVFWiU46MhUBxbMVuLraCdAHZorXvkZ3ghCsK86cMp+/V4vLIh+6PnuZiWQuKW1QQ0ay/rXbipyiXL0ue9uUyy3s9Ty69y8r2vbQcWRBM2HKduoLgTB6lhNx3NoZS6NppDOhKFMNDSUW9TdeYOFBASD2unfCW130mM6tKP1lNWMlStZ2HTINK2nCXtZDRqYTShLlKrHaSO3W7mccA4gMaNG+uwsLA8nzM/zuGs3PnawTGuP2piJOFjF+FhAYsCz8bNCyWXI1y7UQrz2r8PfZPhS6aguYpCYbHAmS0raf7464WW4UaO+G9/Wx2JdhOBkUqpgVrrL7TWR4GjwIxrD1BK/QL0BEZiW6OjLvBwPuQVokBNH/cBlb//DW0G3y8GUrNLH9sBaUS4vdrlQnjonRn8eexBGhyzfc1ihd2Lp9PcBRonbsToGiajOQqRO10ryPXmVdbVdIpOW3x9SROzBS5sWkFM+z75+jq5Jf++/+3psBcZf3oIq83+NEcDCm3RXFw6l/jqLjPz1sg6dt7+ZyB/X6MxMMcxIVxa3PK5hFhsdQIgcesaeMbIRCI/mUwmUqrfQebWP/HKtq0FuN+cQXOjgzmY3HQkfg90Bz5VSrUFRgGrtNaZAEqpzsD9wDGt9TvXnqSUumkDSQhHEDUxksQlc6hxMJPUolB+xDdUbnmP0bGEg2kaUo3fWtei9om9eFjBpGGnr5bC4lycrobJaI68cadrBbne3NJWKwt6NadaImSbQGnbkialW3RyqO+pI2UpDLd7va+HhbFs6hoWVvmd5lsAiwagWPU7KO463zsj69gJbB2GnYBo+3l9sO0U/c6/PE8Il/Dz1CHU2n8VsI1GlKWvXFPNLi/xSdbLNDxmod0eTbPVJ8nYEoV3swijozmMW9ls5W+01lbgXuA3IAJYBKTYd5+8ACwGigEjbnjembzHFSL/RU38mPLfTKPu3kw8syHxobukE1H8owZdX+fjxzxZUV9xxRtaLTnClWnfGh1L3CIHqGE5R3PkJKM5hDDQ3H73Um1XCtFNinLm7R7sbRtIXP9eMq3ZCY3pMogj5f34pEdJDjQJQHtBwsRZZJ86YnS0fFHQdUwp5aeUqq+Uqo+trRhq/zxUa62Bb4EBSqnuSqnawCTgCiA7EgiX9utv31B1+Ay0B5x8vKXUCRfWo24bHr3/e35v35bBT5hJNytiX36DrIPbjI7mMHIzIhGtdRrwiFLqTuA5oD1/TdeKBT63j6AQwqGdv3ierF9n4GmxfW5VcOXYfmNDCYfWo24bYDQLaqxkSezv9JuXgDlyDIGH9lBy0HiU6bbvz4hCZnANk9EcQjiYBV++RPXlJ9gfbuaR8Wsp4lMU+hqdSuRWaEAZ6pfowk7zbHaHQngNLz6bmsnpPg8TumAtJv8SRkfMswKuY42x7RJ9zcf2j5+Bp4BhQBFgNBAAbAHuls01hSubsWQcwUN/xCdbU2pYJE3uftToSKKA9ajbhh512/DcvOEM6TmRz6dkE/t0H8LmLMJcobLR8QyXq47Ea7TWa4A1YLt7BSgpIsJZrF41k7TPh1DljMZiX+RChqeLW3GtsCRdfZeexV6g54IdNJ2+katHOxLQozdpG1fLjs5OoKBqmP1cVe2fXh/NAVzSWscqpb4F3ldKHQQOAx8iozmEMMTqqcMJ/XUNp8sp2oxfYOtEFE7Py+SN1qAUHAmC1d3uoMPsA5x9qitBM9aiPPLUBHIYBVHH7OdU/3JcA0PsH0K4vNmrp1LqsxEUT9MU++RtwqQT0a2Mvb8fXX49yaePrGLw9GxiHr6XYi3rUrTT/W7d1su3Kqq1vpJf5xKiIFmtViZ+2Zc6s7YQkA1nHm+JJaii7Mwsbltxn6IsfPpnHvf7gNPLF9B94zmStg21HZQdnZ1KPtcwGc0hhBOY9VlfqszYxFVPCB3+HWXLyQgDV3F35VZs2T4DTTag8XngZcqqqcTP2szZJzrgXSnU5W74SVtMiPw37su+1Jq9Cf90KPL+81R+8FmjI4lCZjKZmPPoMNpP6cP0Vnvptc7ChUU7ubh0J6Fu3NbLc0eifVews1rr9/IhjxAFZsbu9Sw5uJLmixZy59Z04kpDyU8+o8Fd3W0PkA5EkQseZjMzen7Jm8VD2HhpNC0O2m7jWy2we/E02dHZwRVEDZPRHEI4vt+GvkDNyZuu784cu3MDdzTsYHQskU9sy5CMYtKeaZzOXs/M/cvoO+RH0na3JHlnPOyMQy2IdolGoLTFhCgYYz7rTZsp265vvnU84wrhRocShvDz9mZ6t9FM39QRjdXe1tNcWTzb6WtIbuXHYl5PYNsZTAiHNWP3epZOf4mnv5nJnVvT2VfbhxYL1xF+rRNRiDwa0eUVdjWuQpYZNLZfrln7TpAde8joaOLfSQ0Tws3s27iI4GnrUNh6/M1WSNyy2uhYIp/1qNuGpY9/T91iXTnHcj5eNZci1atiq9IKbYG0NUuNjpkfpI4Jkc9+nPoZDWbZOhEVYJI64fYqlyxNuXrtyfIA2/YKioT1+8nYttLgZMaQXQGEy0u4fJHEYa/y7m8WyiZBlgkON6uHd0AZo6MJF9Pq/neJ7OXJ9LaKqAaKgHPZHLvvAZLHDQGtjY4nhBBub/eaaVzu9w6eFtsIE4uS9ZFd3YT7hlBEBzHn1DecqtcUZYZrnYkZx2PQVqvBCYUQjkJrzf+GP0PdYVPwtEqdEH+3ISSQyF5mZrQz8UMXE5nAyWdeJW3pL0ZHK3SusdKwEDdhtVqZPGYA5WYsol3ctbeMYNLQ/tQlo+MJF3RtR+elx9ax8UosUQ030G+RFevwGSRHLaf4Q4+QsWeHy63LJIQQzmDnknFc/WgEnlaIG/AsKjNV1kd2Az4ePvxw93CeWv4EfVM3sOLLgbBhBekHjpK86wKmZzpTbvwSl9mARQiROxarhR/e70q7BSdJKQ4VR45i595NUifEdXdXbskniTM4HGRbf/dQkC+jZqUS+/bnlF6/AjRu086Tiilc0qatKzj61ds03pNJih9c7lCZ4muOYbWCyQR1u/Y0OqJwUdd2dAaYsC2KAQEf88DWJB5df4nkfWNtD5KNWIQQotDsmjOMk3NnEbT7CtoLLg7sR5dHX7AdlIahW2hUoSa9q73C5CPf8nB8Bao0r83dPZ/jrh9HcHHlIayPt6fCz1EonyJGRxVCFLJdc4Zxel0Ul88m0GFPFueCTTSZuAD/0CpENO0kdUJcZ2vjjWT58Y2U8inFEutYXni8JGOnXSLht2gAl1l/979IR6JwKfPHfkjWwnmExVpokAUnmpSk/dfT8Q0MIS1qKmlrlrrNXQJhvGcaR9C+cn2e9HwH/7Rt3LNNowBtgUPjRlK/U0+USVaYEEKIgrJrzjDUoJ+oalvQiJiHm/LQtU5E4VbeadGXxceXckGv4sJlxZY/Z8Jz39LBfzwJc7eR1bU5RRvWpGjH++R9ohBuYtecYejBP1Ep2zZzLTbMzJ2zN+Ht5290NOGgcg4aabKnJpHb3mBeDQ8e2JSJbf1dTWrUPJevI9KCFS7hYkoiE55rSdURc6h11EKRLDjxSCPunbwB38AQwHZXoPQXk13+P7VwLJVKBrKm9ySOVA8h0744rwZ89iUT074+qfPGGR1RCCFcktVi4dTEX/Cw2BqIVgXm+FNGxxIGUUpR0beO/e8aVDbLT2yi9BeTCbizCulnMrmw8E9i+0eSFjXV4LRCiMJwZM5MvOydiFYgvUpZ6UQUt+yROi35uOm3bKuiyPRQaDQaSFyzm/RlU4yOV6CkI1E4tbMXzzP2vfv4s0tLWq5PRNm/roHUuNNGRhPiOpPJRPsHPuSTnp7MaGdi8BMmfuzsTWpKFrHvjSD2nsZc/vZdzN++I40XIYTIBwlnDrKgWwOqHLNgVX8tlp9YuZnR0YSBulZtD9rj+v5nTSvUA8AjIIDruzlbXWY3ZyHEP8i4ksyMZ1pTY0cqYKsRWR6QWEVqhLg93Wu1IrzZK3zcy8y0dmZ+vNuDLLMi5s1PufBOT3RmhtERC4RMbRZOJ2piJAkbV5CVeZVKh6/Q9jIklIJDrcsRtvk8HhbZWUs4nmsbsSw/vpHyHt6sil/A77XjeSK6KF02JJE6ZiEaTcryPYR9nY3vPX2MjiyEEE4pavq3+IwcS9XLsLlVWbYVrU7txL3sK1WHpx961+h4wkC2WjyKSXuncSpzPVP2T6Vvw4743tkFtSAabdUok22xfCGEa9q+eCqXh35K3XjNvhqebA2qQ6XkE1IjRK7FpyZyOMjEkWCN1nCidiv+t+oICQt3ceXPppR8rAeZRw641BJr0pEonMrkL56l/uQNhFhtQ9ATAuDC83fT5vVvUB4eRE2MlJ21hMPKuaZGauaLvBX1HRObTyc1y0T3jRoTCqxwYuBnlN+xieIvDcJcqrzBqYUQwjksGjeYzAVzqHrCQqoPxLzenadf+oy6JxPZfPwiT1cuRaOKAUbHFAa7VovfWDqK1fHjeWr+YH596DNChyNraQvhwpaOH4yeM4eQWAv+3vBnrwb0GvQrlWIvS40QeXJ35ZZs2T4DjW035yNeWxn6xItEtjnD+R/mcGbYL4BrbcQiHYnC4Z1PTGDxmHfx2xRNgyMWzPbpKBYFZ+uUpWf/kdcfG9F3kOysJZxCUS8fxtz3DvviHuWLU73I2pqIh8W2hle6r4m4KWtImPE7xZtXxrdxMzJjjkrjRggh/sEvnzxHw6l/YNa236MXerXnvpc+A6BRxQBpHIr/Z0TEq3T99QS7ryzgi/VVGBjRV2qsEC7IatXM6v8gtZcdxoStDXmiZ0seGzABkBoh8i7nbs4tguvxy/5f+P3SD/Qp2ZkxbcNJ+v0I1zZiuTzlR5eoNdKRKBxS1MSPiV+9CHNaBqGnsmiZgm10QbgnIceyMFvt05ebdzA6qhB5UiuwIvc9OJRPTC9T85SVfaGKwxW86H6xJk9Gx5D4x3ES158ANMyLJvj9M/j3fsfo2EII4RASU64w54NHaLw6BpP9RqMGUo/sMzSXcHwmk4kZj3xB+8lnmXpsJMV8wdvLSuPAxtQvW9/oeEKIPNJaM2fWaDx+HkPdYxZ0zmPHjxmWS7imnDPP+tTvwBNzP+JA2mIGlQ+kvxmw2H4Ck6LPYe3WgrKRX+NVp5WBifMmPzoSY4Ez+XAe4eYysrNYNP8HUmf9RKNdVwnVtsbA2XIQ9/BdtH7lCzz8isv0ZeFybEXnexbsW8UdpSty8cx6fiu9jbmdzbxXpDgNNiehUKDh9GcT8J08lWIdWuP/+Btk7tsqU7HyRmqYEE5q87KJlJgxm1bnNGfLQOlL/HWjUdZJFregmI8PP3UdRa/FPRizZwQohZfJiwkRPzpTZ6LUMSFyWDpxCOfWLsb3Yhq1j1nJ8oA9db2pvj8Ds6ylLwqBl4cnMx/5koErqrBQf8eHj3lQK1ZzuLyJNy+EodYc4UqPZ/CvWxavoHIUvftBp2vH5bkjUWsdlg85hBuKmhhJwuaVZBT1xXTxAqHHUql50Xbs2h0jq4IL1QPpOeD768+T6cvCFfWo24ZmxUIICwsDnibq8G6+3PgDc8LXU2ubwsMCFhNk1y6J18nLnP9pJed/WnH9+Wp+NKHfWPHt8oRh1+CMpIYJ4XwWjOyH57zl1DmnSfWF470a0OXDyaz4+TO50ShuW50KgdQr2ZZdKXNRaDIsmcw/uN5pOhKljglhk56Vzv++fJzO0w5Q0Wr72skqnjQd8RMNqjWSwSii0H3R6Tl2/bqbw0FrOBKs0BrG12/FmDc/59xrfUnemQA747mwZDfBH57D//G3jI58y2RqsyhUKelprF72E4lzf6ZxdAoh2rZpSraCc8EmTjSriioTSPlf18vuy8KtRVSrS0S1H+g2bSCRvRZSK1azL1RxonwRBjb+lPuSUomPHETaqXRAoa1w6t1P8J8ygaJt2lD03t5k7ouW0YpCCJdx/vQ+1r71BHV2XQVsNxvj+3Ti3n6jALnRKHKvctGm7EpeiMYC2oPstEpGRxJC3KL41AuMmzaYkivW0HmPFQ97J6JFQVJwSUpVawRIjRDGeLLOo3yy/Q802SgF+xKjOV/qWXzr1SD1eDSgQGtOfzqeEsuXUqrfR3g1aGd07P8kHYmiQM0b9wGpa5aRbVL4pGQQfCabaldsxzS2TkQrcKBFSR6duOH686IC5Y6REAA9a93DJ1ejOByUDSiwJPPJn2/wlTWM17u1p9HoxWC19cj7lPclZc85krbPgm9ncX1s7/xogvodwf/Zj1AmEwBpUVOlk1EI4RROH9/O+s9fJzz6EnUz/nr/AHDlwG4jowkX8eAdrZi9/QWsXkcxZVblwfbOu26VEO4gamIk5zZHccnDSvmYJB46rsk2ay6FelHiVJYscyEchm0Jq1FEHfuD+PQEYjJX0fW3bnwZ3p7K5mi0VaMUFA0vQVL0aS73egHfYB+8gstQvMeTcEdroy/hpqQjUeRZ1MRILmxawfaGLdEly3J51zo8T54m8FQa1eJzvNn3gfiK3iRXqwxF/Sg/O/r6qMPirSP+dk65YySETc5dwO6u3JL2levzydpfWHN+NsOKLifcvubG/hAzj94/ikfvaMbVdfNI+GooqTGpgAIrnBk+HfPoafiE+OMR4E/y9rNoK6gF0YQORzoThRAO57evn8d72R9UOK+pnw1HK3uQWrMqNZYdlFkLIl81qhjAlCd6sPn4RZpXLiU7uArhoNKz0pnwyeO0m32AEKutnZnurbnSPpx6732DV2g1mcIsHE7OjVjm7NtM5OYPeNc8l46PVaNpbBKlmnUgou8gsk8eIm7giyTvOEfa6dNc3vwpvg0DyfroazzvaGLwVfyddCSKW5LzF3KtB55n1+aFJOzZiGnXLhruTCdEA+sXXO80zDJDapG/Rg1YFBxrWpae49b+dc5Q+SUvxK3IWXwARnV9hYys57ln+iscDtpkX3ND8/nWIRy68Dyvtbif0m9mk9Y/8vpdroD2d2C5nMTV43GkHk3hWhe/tmjOfvgJfjN+xjs8HO/ajbCkppCxK1pGKwohCl1KWhorxwzAc+kqapyyjaq2Ktj1QB16fDkDpRRRNW3vH7xqN6W7vH8Q+aRRxQDpQBTCwURNjOTSltVkVg4j6fRxQg4m0OHUX8etwJGmZenx/cLrX5MBKcKRPVSrOa0rzqXbrJdZFbyLlUGAnsvl3XfRo24bvCsGw45z1x+ftiOeo9364BvqQ/HOHfAIrcTV7ZsNb6dJR6K47lpnYbFm7Qhq8yAn/1zL5eN7YO9uGuy4QogV9NppXPpmGpUtUNn+vJxTlI9V9aTGa+9Ro92DLJ/6NUWGT/tr1EDzDn97PfklL0TueXt68ny93nyyfRsa27Rnq+kKs059yswTIwj1bs09z3Sk1KG9lGzWnho5/q9dmf09pweNQlsBBcrLRFL0SawbY4FV9kdpmBuNb8WvKVKjEl4VK2FNTyfr3Fn8u3TDt2ufv+WRqdJCiNyaN2YQ6euj8EzLoPyZDGokQ4aH7f2F6dqDLsejlO0GyLX3DzExMQYlFkIIUZCyrFlM+/xp6k/dTogVWBuHAhIDIKZOUSrsT70+fblEi45GxxXitgT6FeOOgNpsubwLpUCTzbfbv+Pe6k3xvbMLaoF9yrMJfJ+9jyLnzpC09k/OjVvM9aWr5kUT9G4MxZ5+35BrcOqORKXUy8A7QHlgH9BPa73e2FTG+6fh3JnZFhaM+4DMzb+THVgOU0Apsi7GoZIu438+ierHLLaRhWtnoobNJDzHOXOuR3QuUGFpWpuytRpz6cJZyk6Iut5Z6NX9YcLtnQgRfQcRBTLqUIgCcuO05+61mjN51wqmH5hDbNYKxpayolsAzGHt8hA+7fgkJpMJv4dfJtS/xN86/rTVSvbRXSQM6U/SjnPY/sdrrp5LJS12H+j911/30srPMX/wOZ4BXngG+IFSpOy/CFqmSgshbs3ltEyWL56PddYw6uy5grJvvnayHMTd2wifMsFUGD1fpjALIYQbiJr4Mec3RpHh44nH5RSCY9JpcuGv41bgQL2idJ+2FWUyyfRl4fTurtyKLdtn2geEwBXTAVpPeYBBzYcQMXzQ9XZafPWWlAkLo7TVyvlnunB500lsG7TAmaGTufDjr/g1rIZnhQpYEi/j26FrobTDnLYjUSnVAxgJvAz8Yf9zqVKqptY61tBwN5ixe/31hn7O6Ynwz51+NzumtSY5I5X45ES2/vI51t3byQ4OxjuoMlnJF7GkXMbzZCz1/0wj2Ap63TSWTJkGWuF7VeOfCrUyr509+W+vlekBJv3XyMKYUBOmlo0pVaUmF8/GUG7ymutv5nmiJ/fkyBpV3LZGYukWnf7fNcioQyEK1o3Tnvs2vIe+De+h95wh/Jkyx3aXS1tZeG44i3+awh3FWtG7zv2klAtmRbPa3F0+hB6AMpnwrNaAEk8+R/KuyOt3wUK+GkyRdt2If7MHl34/zLVbCh7FPDF7e5JxLomsJAvov6ZKp61ZKh2JQoj/Z9G4D0lZvRRTZjalLmRSJ9729ZzLoFyuHkjPQVMAiPL2lYaiEEK4iANTx3Pl96WkNryLpBbduRgbg94+Hd8966h7IJMQe1s02wTng8wcrleEsL1Xro88VK3bX980UNqYwtndOCDkbEoCPx36ho+iX+B/qgXBTWpwT/kQmtkfr0wmivd8kqStfy1dVaJFJTJOxXFxxQHgIKBRi7cXyqAOp+1IBPoDk7TW4+2fv6aU6gy8BAwsiBdcMmEwFzetZkfTdtR/6A0ystLJTEsh+2oqBxb/CHt3Ya0STun6bcm+mkZWRhpHL8QQd2IDDc5rdpb+hZMlwiiFJzozA6/z8TTYYev0s66fxox5M8nyMWPOsuKXkk3lMxCibdOJ//hhGiYrFMkEnyxoeC3U1gPAgZvm1RpKJsHlUorkYp5kJmXhc15jAizAobq+tBwwlLLVGrNy1igCc0xDNvfs8bc37VFl/rnDM6LvIGLa9yEsLKwAvutCiNy4N7wDf25fYLvLpc3UKnoPsalH2Js6n/e2zEXbR8Vv2T4dGHW9M9I34jFCh/P/pin7P9iTxHV/dTCW+2Dg9WNpUVOJ7R+JtoAyg++dXYy4ZCGEg7h2I9SnUXOuFg8gedNKyu4/Q7VYbR/rDOdKw/6IIKylyhA+c+dNRx5KQ1EIIZzPzvidbIvbRuPAxtQtXY8/T13mwISRNJw9naJWKPrHfvwmjqZqCphQ2Ffasd1QAg60KM2jE2yTDHMOrGnYvs+/vKoQzufGASGP1mlHr7mvEc8G4pJh+/ZZvBw2hJft/Sz/1E5L6P8oF5bsBhTaWjiDOpyyI1Ep5QU0Ar6+4dByoGVBvGbUxEhCvplJmBX4Yw7pw+dgArzsH42uPXDLdpi6/frzav7tLBo4ftPzKyvccczCVR+LrSMvm+vTfAAyvSG1fFG0tyee55MJPW3FhG304OFa3lTu2ZeAwIoc2raKMhNXXH9DnvRKLzrb34RHTYwkK0dnoV/nByjfyLamxH9NQ5Y380I4lxvvcl0rUscvxfHUwgFcYjtKASqbT7e9S9Tx+3muQXdaVKzOwvIhLM8xWhH+uXD91zEhhOvaNWcYZ9evoFiL1hS96wFOn9nL6ckTaLXsvH1Nq/nX38dc9fzreVYFCbUC6TlyJQBRwTJFTQghnM3NZs+tO7KUGRPepf4RKxs84FSqmcAL2TRI0qhrG/1puOwJ2+70I6RhEyxXvQgd99dSWcVbaK5qIgAAHQxJREFUdbr+GjnboLIurnB1QcVKEV68Hlsu70UpDcrCuGM/0LFOE6qVDgJs7a4b21pFIx7kYtTuv9ZVLIRBHU7ZkQiUBsxA3A1fjwP+32qrSqnngecBgoKCcvVL6MKmFQRb/5r6GxusSA8tDWYz3qfiCYv5q2Pv6P+1d+dRUlXn3se/Tw9M3dBgo8w04AAqKgJOGCNg4KpXjdEog4Jg1Li4V2OG17VMrl6HZW6WSYyaGxI1N3HIi/M1ryZR1ERURFFBxiCi0MwyNGPTND3t94+qrj401XR1U1Wnqvfvs9ZZUPucqtrPrlPn6b3rnLOPz8OGnUpOXjs6LlpCzxUVkbMADbYP60bR1TfRobCILz56nf7PvEtu9KC5+ruXMvzSGQAsfHUmgx59NXZA3TXh4HXVgXVu9HiKzriMOuD4/qexML8D+5d8QMdTz2H42KmxeAePncrCfeVx19WvJ/pLT0vbqKysrMVt6gO1S3xql/iS3S5ndenHWcMiQ4H13+kcYGL/y5lZuiQ2SUteXWc+3j2Lj+fMIqe6B7V52wDH/AXPUVZ2FxcPHBZ5wcGjYPAoyiMvePCbHW6diGS1hs7iGIZefQOLNy9k1fMzGTOrlP614GY/y45fPMvAvXBs4Hl1wOpj8xj5k5+zeMV8evzqWZ15KCKSgRas3cmHq8s4e1DxQbOXBwcLx0+/k+17v2L1ivdZ8eL/MPyvpbHbab325DMU7ofue+CW6HMdUNa5hhW9jIr+xrnLHTkukgOWTjqD79/yVMP7FOoHJRGA8YNGMX/Bc7F+Wk3uV1z56uVc2GcaP73gJvJz8w95ThgndWTrQGKLOOceAx4DGDlypGvNJbgrzxlH9QcNZ/PlTJ7IFU2c6dfhW1fFDoAVs2dR+oN7qauDnBw4c9q/xz7YE8d9i9m9Gg6aVwQOmgNueYDZBYUtXle/vimHW3ekdGlzfGqX+NQu8aWjXWYMGEDxkuKDzlb8dNMaHv3kJeZtexmzOgAc1cxa9wJjhw5nyNH9U14vEQlXsMN4zsRb+GLZ2yx7/jGG/W1ttLP4LCsef5Ze5TCwuuF5zkFuHqwe0RdXkE/JvDWxH0nzr7yKnqMupOeoC5ltpo6iSBuhSS8zV6L34B8//U52VVTz939u4L2n7uLUrSt4s3M35vfsQYeKXXRcv5FTlh2I3Grr3Wf48L+fobASutQRu28bRHJAUQVs792eqs7V9NwYPcHGoHx4Cdf+9q8s3b6U+39/HYPX1rCyJI87JvzgoHrpByWRiMZXlbGvmgdX/I7XN/+OOU//lYv6fYuNe3ccMv9GvDMVU8lc/Y2yskj00uYKYJJz7oVA+W+Aoc6585t67siRI90nn3zSqved/YemJxU53AG7YvasNn/JX2lpqQaG4lC7xKd2iS8T2uW5Je9x34JbwSIziFn0usQCN4j+BYPJs/Z884Txh0wclSxmtsA5NzIlL55hWtMJO5IcVi8T9rN08SXW+kndRhQNZsaYy2Pljf82qatz7Ny/n7ce/zG1n8yj5uju5HbpRu2OrXTYsJWTPqsix0XOIqnLgby6g9/HATuLYEevrlSZcfznO8mJ3gT/w6mXcvPtD8R931Tx5fOtp3gzny85LDrp5Z84eNLL6cBhJ7080hy2aOsi3vzsTcYNGcewYyJXSzR1Jl3wPn312yby+vGe01R5SybNbG15cF27oWdy6Yz72VVZzq7KvXzw/K+oWfAhtccNpuspo6jas5N9C97h7NciP+bU5sCi4YXUFHYit/IABWXlDPmiNnKcNyjrDPm1ULj/0ON9vfrJsBzw1dGwe1AxOd26U1O5j+Pe2xCbCGXLDybxL9ffxYpZj+Pu/yWuDiwH7Cc/5MTJN7b6MwnKxmNCsij2AWFXIzSlpaX069ef//z7M/x5/a+xvH2Re927PO4c8UhS+2QtyWFZOZAIYGbzgcXOuZsCZZ8DLznnmpxs5UgTmO87clPULvGpXeJTu8SXKe0Sm2l+4DkcXVDMHxa9wuJdb0D+dgCcM87oMomHLrqNoo4dk/re6oSlvxPW1HZH8sd+pkjVdyqRS8COpOP46Ys/Y9Pct+j1tQs45Vs/AgPD+Nvv72P3x29Td/Jwepwxnoqdm1i+fhHbPn+bwRsdW7oahR2L6XKgls5b93DaippYh3FLV8ivgS4V0K720JiCN7uvA9b3MSpOOZ7aA5Wc8O66WGex9JarGT3lJ6z8ai9PP/JjTi5byvLiU5j+/Z8d1BbpkCnHzHRRvJnPoxw2H1jinLsxULYKeDFV/bBFWxfx08enMiR6RtsPpvyGyt39+d/H7uOkHctZcdQQzpnwXQZ2h1W7lvG32Q8zeF0tq/rmMn7cdxjUuS855PDlm69Qt2wFtSceS/ezvkbFgQoqqitYX76RdYvf5/iNdazulUPJSWfTM787uw7sYvXyuQzaVMfanjkUl5xM+7p8cktXM/6tnZEBu1x4+7wiXO/edKjLocOGTQyft5Pcushg3vIRXeCoYnK2buOkxeXk1EV+rPlsSDuqC9rTbvd+hqyqwaLH6y/7GtXtcsitdXSqqKPvtsi98x2wu1PkNjUdqqBdTcP99JtTZ5HZkPNrGwYGtxTDnj6daF+2n34bGybk/HJ4Iefe/gALP3iTY37zcuyqu/rBwnpN5bAVsx5n/zuv0/H8C2ODiMmQjceEZFHsA8KuRmiC8U9+4V6W7HsBs+iZwG4or0/6I507dEjKe/kykDgBeJpI5+t94GbgO8DJzrm1TT1PA4mpoXaJT+0Sn9olvkxul+/8+WfM3zULM4dzkTMVXU0h/fK/zoQh3yY3r4I56z485DT7llInLHWdsPc2vMcjT87gxHV1kcuKbniSLX955aBOwN6qvby+5nWef/E+hqyrZWVJHrdM/W/O6xv5TJM1UNaa8h3z/0HXs0YzZsqdOAd1zvH2U/ex5+N36DzyfM6aeAc1dY6qmmrmPXc/VYvmUTf4dM6dci+5lotzkclBKj99l/bDzmPo5T+irq6W2poqlv2/X1K75APyho5g8PgpmKsmp66KlbP/L9XLl5BzwhB6nz2e6qoDrN++i7Vz36Bk5xY2dO1Oj1NHUpRv7P9sAcPfWBfrVC79Wk/a9+lPzdrVnPTBdnKjHcelwzpR2bUjedv3cvqyKnLqIh3HJccaFR2MLnvrOGkdsQHAzV0Bg4LKyKVjkFjHMTgw6IBt3WBP747k76yk3yYXu3fzimEFjL73URa+8wo9Hno+boexqc+lqQHVdMnkY2YqKN7M50MOC+vKsN/+5kbO//XchAfOskEdkXwBkBcY4CvvCBUFUJdrtN/v6Lbn4LMCD/TuTP7WcnptdrF79Jcem0eXc85m16a1lLyznpzoIObW6Rcw9vr/IKfoaN548n56BG7HVX+cX/zSA7j//GOs3O6ZzmlX3g6k7wzzRGTjMSFZFPuAsKsRmmD8kSvHvhe4csxhNUdz9cAZDCo+hr+v+eCI+mJeDCRC7LKw24lcFrYM+L5z7t3DPUcDiamhdolP7RKf2iW+TG6XgxKXy2PMMVNYuXsJm6sWgtXhXPRPXJfPnSMeTksCy1ZhdcIe+T9jueDVzbHOyK5C6Fre0DnZXgSV7aBdNRyzq6F8axHU5kPHKuga6Mzs6wyWB9RAp70N5fsLHZZnuGpHx33WUF7gcHmGq4HCfQ312lsQ6Ujl1kDnikB5p8jAW04tdN7fUF7RAVwO5NQ6Oh5o6FJWtouccZFbB+0D9++rjnbSclxkXb1M6ow6oCrfUd3BsGpHp8qGdivrBvuK29NuzwF6bKWh0zgwl/bDTyF/2ed0X9kwqVvFuX0Y8cCfeOvlRw+a3KS+wzj7D/fG7UhCZnUYE5HJx8xUULyZz5Mc1hvYCJwf7HeZ2V3ANc65wY22D056OWLu3Lmtet8V991E//fXx46BG/vmcCAHBq1rmPCytCSHmpKedFm9hWM21MbKt/XPY8/AEvLWllJS2lC+dmAe+ScMJd/yaPfZUopKD8TW7RjUgZrTz8IWz+foLyobyk8ooGjMxWz5chE93l4VO7tw04Un0//0sVSZ48sl73DcX5bGzkhccdVIBp3/TdZ88BpDZs2L3UP2y5suYcRl/3bIJJuHm4Czfl1zz4lNrhktq9fUunX/eJzdC+ZRNGIU/ccm7yzCZCorK6O4uDjsaoRCsfsZOxwa/9/WLOL9rxZxbs9h7K0u59kNf6Qmd2u0Lwa4PGYMCEyW2QIDBw5MOIdl9WQrzrmZwMyw6yEi0tY1vvFv/UDh5vItTP7zbWyrWRY5S5Ea3lg9L2X3UGwjugO5wJZG5VuAbzTeuFEnLDYDd0udvLYydoYaRO6HFHxclwt1Bfl02lV9UHn7HNhWlAe7a+gWKN/RATYVG73LHAWBgcTtHY0N3Y0+26FkX+CMuIJIed/tjsJ9DZfQ7iqAbcV5HFNWQ+eKhvLdhbDz6HZ0215F4f6GAbTtXWHbMe0o3lpFyVcN5VuKjfJenSjaXEGfwFkam3sYe/p2pmDjXgZsbChf3c/YU9KVLut2MzDQEV0zIIf9g3rTYc1mBq1p6HB+eWweNSedQP5nqxi0qrrhErCT2pF/5ijK133BkHc2xDqVyy46jq5Dz6Hss4859dXPIh3KXFg5aTTHj5vO5+8+y+AnXot1ApdO+1f6jLmRT/8ykwuefzNWvvzSi7hw8q0sfHUmRwU6jQcuvpiTL51B7vuvsPenM2OTuvUacxnr91Qy+ILrWFixr6HDOHYqpaWlDB47lYX7yg8pBxg8diqMnQrQ6v0snZI9032mU7ySjZIx6SXA/guuwn34S+qi997rd/1tVLXfSXXgTLq+N13HaVfeHrtPX/22PabdyujJNx4yQWbuVVcxLvqjSePndL92BidOvvHQ8onfjV2uG/zx5cLAjy/Drvk3Zg9uWDcxuu7MMd9mds+G8iuj5YlOstlu6JlcEZ04s7nnNKWpdQOuvx+ub80nk17Z9uNCMil2fwXjnzFgADNouB/292uuZtys6ZS5JbG+2ILdK5kx4PI4r5Q8WT2QKCIi6TPh1PMOGSDsVdiDm0+dwX0Lvocjcrbi+EGjQqph25S0Ttjl03HLGzpDO8eeRvvXl8Q6VFU3TOLC6Xey+KlH4YGHYtt1+/cfMuqaSAesKtABOzDtCq689nbe/dPPqfrVS7Hyyusu59JJtzF31oNUPfxKrNxNu5obr7/nkNdh2iSujZ4pFyx30yYxIVoe7PjZ1ElMiVOeM2UiV8Xb/tqJXB2nPH/SRCbHK796ApfEKW9/5VVcFr0ELNhxHXDNNXEvAZscvDT7hIbyq6Plp595JrOP6hornxItLyq+h9/vONBw78Fr7mRASbemO40DbqWie3cq5rzG/qFn0O+aW2Pv22SH8TCdzGzjW+dC8UoG2E7kd5Qejcp7AF+l6k1PnHwjK4Dyt16l8zcujQ3mLQbWv/cmvc8bFzsW129b2eg+ff9y/V3MhrhnXjf1nKbK61+vqZmGm1rX0vLgusY/8GimYxFpl9eOGcNu5r4Ft+KoTVtfLKsvbW4NXdqcGmqX+NQu8ald4svmdolN0KJ7JDYrrEubIXLGxd5AJ6ylN0oP8x6JrSkPnr2RzNdf/NIDbGrUcU2m1t57MJuPIa2heNu2bIzXhxwG4U16Cdm5XySLz7GD3/Er9gFhVyM0icafjL6YN/dIbA0NJKaG2iU+tUt8apf41C7qhKFOWFL5FCso3rZO8WY+j3JYKJNeQnbuF8nic+zgd/yKfUDY1QhNOuNvSQ7Tpc0iIiLp9yDwtJl9REMnrDfwu1BrJSIi0gzn3HNmVgz8Bw2TXl58uEFEERFpOzSQKCIikmbqhImISDbTpJciIv7SQKKIiEgI1AkTEREREZFs4909Es1sG7AL2B0oLmrB4+5EZitLpsbvl4znHG59U+ta0g6NH2dCuySyfUvbJZEytUv8MrVL/LLg48brsr1dWlLeVLuUOOeOTqyq/onmsPqzFlvynUvF9y/Rfas1+epIjzH1/093rIls61O8yTgmHG6dD/GG+d1tblvFe2i5cthhZFgOi/eeR7Jtsr4PjR9nc+xNrWvN8R6yL36fP/vW/K2T6lx/uHq0dtu29tknnsOcc94twGOtfQx8kur6JOM5h1vf1Lpsb5dEtm9puyRSpnZRu7S2XeKsy+p2aUl5c/uLlpZ/Vonua8nazxL9zFqTr5JwjHksjFgVb2LrknCs9CbeML+7irf18WppeVunO4clc99o6f7hS+ytib+ZdVkVv8+ffSKxJ/rZJzP2TIo/0z/75pYc/PTqET5Otta8fnPPOdz6ptZle7sksn1L2yWRMrVL/DK1S/yyVw+zLhXS2S4tKU/3/tEWteQ7l4r2TfQ1W5OvjvQYk+x4W/J6irf5dUd6rPQp3jC/u81tq3hb/vrSIOwc1tLXbW3fK9OO76153WT3O8M83rfmdfXZt3x9a/7W0Wef+Pu2VtJe17tLm4+UmX3iEpwS2ydql/jULvGpXeJTu0g6+LSf+RQrKN62TvGK+L1f+Bw7+B2/Yvczdsjc+H09I/FIPBZ2BTKU2iU+tUt8apf41C6SDj7tZz7FCoq3rVO8In7vFz7HDn7Hr9j9lZHx64xEERERERERERERaZbOSBQREREREREREZFmaSBRREREREREREREmqWBRBEREREREREREWmWBhKTyMwuMbOVZrbKzG4Iuz6ZwMxeNrOdZvZi2HXJFGbWz8zmmNk/zWyJmV0Vdp0ygZl1NbNPzGyRmS0zsxvDrlMmMbNOZrbWzH4Rdl2kbfIth/mUn3zLOz7mE59yhJmVRvfjRWb2dtj1kczgWw5rzKecFuRbfgvyMdfF41P+Cwo7F2qylSQxszzgn8AYYDewABjlnCsLtWIhM7PRQGfgOufct0OuTkYws15AD+fcIjPrSWRfOcE5ty/kqoXKzHKB9s65CjMrAJYBI33/DtUzs/uB44D1zrkfhV0faVt8zGE+5Sff8o6P+cSnHGFmpcBQ51x52HWRzOBjDmvMp5wW5Ft+C/Ix18XjU/4LCjsX6ozE5DkTWO6c2xj9MF8Dxodcp9A55+YAe8OuRyZxzm12zi2K/v8rYDtwVLi1Cp9zrtY5VxF92B6w6OI9MzseGELkuCKSCt7lMJ/yk295x7d8ohwh4l8Oa8ynnBbkW34L8i3XxaP8Fx4NJEaZ2dfN7BUz22hmzsymxdlmhpmtMbNKM1tgZucFVvcGNgYebwT6pLjaKZWENmmTktkuZjYCyHXOrU91vVMtGe0SPUV/MbAB+Llzbnuaqp8ySdpffgHckZYKS1byLYf5lp98yzs+5RPfckSS4nXAO2b2sZldk5aKS0r5lsMa8y2nBfmW34J8ynXx+Jb/gtpCLtRAYoNCIqcDfw/Y33ilmU0AHgZ+CpwOzANeM7P+6axkmqlN4ktKu5jZUcBTwE2prnCaHHG7OOd2OedOAwYCk82sRzoqnmJH1C5m9k3gc+fc52mrsWQj347XijegDeYdn/KJbzkiGfvy15xzI4DLgB+b2akpr7Wkmm/H9MZ8jt+3/BbkU66Lx7f8F5T9udA5p6XRApQD0xqVzQceb1S2Cviv6P9HAS8H1j0ETA47ljDbJFA2Gngx7BgyqV2InH7+LjAl7BgyqV0arZsJfDvsWMJuF+C/gPVAKZHLNXYDd4Udi5bMXXzLYb7lJ9/yjk/5xLcckaTP9ueNX0NLdi++5bBkxB8oy7qclozYszW/JetzD6zLilyXrPizOf+l4LNPey7UGYkJMLN2wAjgjUar3iCSuAA+AoaaWR8zKwQuAmanr5bplWCbeCeRdjEzA54A/uGcezqtFQxJgu3Sw8w6R/9fBHwdWJnOeqZbIu3inLvDOdfPOTcA+BGRpHJvWisqWc23HOZbfvIt7/iUT3zLEQl+tgWBz7YQGAssT2c9Jb18y2GN+ZbTgnzLb0E+5bp4fMt/QdmSCzWQmJjuQC6wpVH5FqAngHOuBvgh8DawCPila9szJjXbJgBm9hbwAnCxmW0ws3PSV8VQJNIu5wITgMstMl37IjM7JY11DEMi7VICvBe9z8d7wK+dc0vTV8VQJPQ9EjlCvuUw3/KTb3nHp3ziW45IJN4ewNzoZ/sh8JRz7uP0VVFC4FsOa8y3nBbkW34L8inXxeNb/gvKilyYl843a+ucc68Ar4Rdj0zinPtG2HXINM65uWgQ/xDOuY+AYWHXI5M5554Iuw7SdvmWw3zKT77lHV/ziQ85wjm3Gjgt7HpI5vEthzXmU04L8i2/Bfma6+LxIf8FZUIu9PJL1wrbgVoiI79BPYCv0l+djKA2iU/tEp/aJT61i6SDb/uZ4o1QvNnPp1jBv3glMb7vFz7Hr9j9jB38jj8rYtdAYgKcc1XAAmBco1XjiMyg4x21SXxql/jULvGpXSQdfNvPFG+M4s1yPsUK/sUrifF9v/A5fsXuZ+zgd/zZErsubY6K3qTyuOjDHKC/mQ0Ddjjn1gEPAk+b2UfA+8DNQG/gd2HUNx3UJvGpXeJTu8SndpF08G0/U7yKlzYSr0+xgn/xSmJ83y98jl+x+xk7+B1/m4g9nVNEZ/ICjAZcnOWJwDYziEwvfoDIKPHXw6632kTtkimL2kXtoiW8xbf9TPEq3rYSr0+x+hivFu0Xil+xK3bF3xZjt2glRURERERERERERJqkeySKiIiIiIiIiIhIszSQKCIiIiIiIiIiIs3SQKKIiIiIiIiIiIg0SwOJIiIiIiIiIiIi0iwNJIqIiIiIiIiIiEizNJAoIiIiIiIiIiIizdJAooiIiIiIiIiIiDRLA4kiIiIiIiIiIiLSLA0kiqSQmd1qZv80s/1m5szstma2nxPdrn6ZmK66BuowslEdStNdBxERCZ9ymIiIZDPlMZHU0ECiSIpEE8/DQCXwEHAP8GGCT78nuixr9Jr1yW30Yd73ieg201pTb2BT4P13t/I1REQkiymHiYhINlMeE0mdvLArINKGXVL/r3NuU0ue6Jy7O/nVSfi9NwF3AxxBAhQRkeymHCYiItlMeUwkRXRGokjq9IZYMhAREckmymEiIpLNlMdEUkQDiSJJZmZ3m5kDxkQfx+5xEXadDreEVTcREckcymEiIpLNlMdEUk+XNosk35zov9OAEiL3twjbnCbK+wHXA/vTVxUREclgc6L/TkM5TEREss+c6L/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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Nyquist plots\n", "fig, axes = plt.subplots(ncols=3, figsize=(22,6))\n", "for circuit, Z, fit in zip(circuits, Zs, fits):\n", " n = int(circuit.name.split('Circuit')[-1].split('_')[0])\n", " plot_nyquist(axes[n - 1], Z)\n", " plot_nyquist(axes[n - 1], fit)\n", " \n", "# Bode plots\n", "fig, axes = plt.subplots(nrows=2, ncols=3, figsize=(22,6))\n", "for circuit, f, Z, fit in zip(circuits, freqs, Zs, fits):\n", " n = int(circuit.name.split('Circuit')[-1].split('_')[0])\n", " plot_bode([axes[0][n - 1], axes[1][n - 1]], f, Z)\n", " plot_bode([axes[0][n - 1], axes[1][n - 1]], f, fit)\n", "\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.6.8" } }, "nbformat": 4, "nbformat_minor": 4 }