From 5926c2455d6bc62917a4e0501a865216da5123ae Mon Sep 17 00:00:00 2001 From: ritchie46 Date: Tue, 19 Mar 2019 19:09:44 +0100 Subject: [PATCH] init 2_mcmc.ipynb --- training_bayesian/2_mcmc.ipynb | 1388 ++++++++++++++++++ training_bayesian/images/donotunderstand.jpg | Bin 0 -> 75999 bytes training_bayesian/images/islands.png | Bin 0 -> 318660 bytes training_bayesian/images/weights.png | Bin 0 -> 81995 bytes 4 files changed, 1388 insertions(+) create mode 100644 training_bayesian/2_mcmc.ipynb create mode 100644 training_bayesian/images/donotunderstand.jpg create mode 100644 training_bayesian/images/islands.png create mode 100644 training_bayesian/images/weights.png diff --git a/training_bayesian/2_mcmc.ipynb b/training_bayesian/2_mcmc.ipynb new file mode 100644 index 0000000..267d46d --- /dev/null +++ b/training_bayesian/2_mcmc.ipynb @@ -0,0 +1,1388 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 2 Markov Chain Monte Carlo\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "# https://docs.pymc.io/notebooks/GLM-logistic.html" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd\n", + "import numpy as np\n", + "import seaborn as sns\n", + "import matplotlib.pyplot as plt\n", + "import pymc3 as pm\n", + "from sklearn import preprocessing\n", + "from scipy import stats\n", + "from scipy import special\n", + "\n", + "# Use a theano shared variable to be able to exchange the data the model runs on\n", + "from theano import shared" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 1 Recap\n", + "---\n", + "\n", + "\\begin{equation}\n", + "P(\\boldsymbol{\\theta}\\ |\\ D) = \\frac{P(D\\ |\\ \\boldsymbol{\\theta})\\cdot P(\\boldsymbol{\\theta})}{P(D)}\n", + "\\end{equation}\n", + "\n", + "---\n", + "### Example\n", + "As an introductory example, we observe two weights, 65kg, and 75kg.\n", + "\n", + "We would like to learn something about the distribution of the weights.\n", + "\n", + "![](images/weights.png)\n", + "\n", + "---\n", + "How do we model this?" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 1.1 The data" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "weights = np.array([65, 75])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 1.2 Parameter space" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "# lets creat a grid of our two parameters\n", + "mu = np.linspace(60, 90)\n", + "sigma = np.linspace(0, 10)[::-1]\n", + "\n", + "mm, ss = np.meshgrid(mu, sigma) # just broadcasted parameters" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 1.3 Likelihood\n", + "$$ \\prod_{i=0}^N{P(x|\\theta)} $$\n", + "$$ P(x|\\theta) \\sim NB(\\theta) $$" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, '$\\\\sigma$')" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "likelihood = stats.norm(mm, ss).pdf(weights[0]) * stats.norm(mm, ss).pdf(weights[1])\n", + "aspect = mm.max() / ss.max() / 3\n", + "extent = [mm.min(), mm.max(), ss.min(), ss.max()]\n", + "# extent = left right bottom top\n", + "plt.imshow(likelihood, cmap='Reds', aspect=aspect, extent=extent) \n", + "plt.xlabel(r'$\\mu$')\n", + "plt.ylabel(r'$\\sigma$')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 1.4 Prior" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, '$\\\\sigma$')" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "prior = stats.norm(80, 3).pdf(mm) * stats.cauchy(0, 2).pdf(ss)\n", + "\n", + "plt.imshow(prior, cmap='Greens', aspect=aspect, extent=extent)\n", + "plt.xlabel(r'$\\mu$')\n", + "plt.ylabel(r'$\\sigma$')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 1.5 Posterior" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, '$\\\\sigma$')" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "unnormalized_posterior = prior * likelihood\n", + "posterior = unnormalized_posterior / np.nan_to_num(unnormalized_posterior).sum()\n", + "plt.imshow(posterior, cmap='Blues', aspect=aspect, extent=extent)\n", + "plt.xlabel(r'$\\mu$')\n", + "plt.ylabel(r'$\\sigma$')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 1.6 We can do the same with pymc3" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([65, 75])" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "weights" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Sequential sampling (1 chains in 1 job)\n", + "CompoundStep\n", + ">Metropolis: [sigma]\n", + ">Metropolis: [mu]\n", + "100%|██████████| 10500/10500 [00:01<00:00, 5297.18it/s]\n", + "Only one chain was sampled, this makes it impossible to run some convergence checks\n" + ] + } + ], + "source": [ + "with pm.Model():\n", + " mu = pm.Normal('mu', mu=80, sd=3)\n", + " sigma = pm.HalfCauchy('sigma', 2)\n", + "\n", + " observed = pm.Normal('observed', mu=mu, sd=sigma, observed=weights)\n", + " trace = pm.sample(draws=10000, chains=1, step=pm.Metropolis())" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/opt/miniconda3/lib/python3.7/site-packages/matplotlib/axes/_base.py:3455: MatplotlibDeprecationWarning: \n", + "The `ymin` argument was deprecated in Matplotlib 3.0 and will be removed in 3.2. Use `bottom` instead.\n", + " alternative='`bottom`', obj_type='argument')\n", + "/opt/miniconda3/lib/python3.7/site-packages/matplotlib/axes/_base.py:3455: MatplotlibDeprecationWarning: \n", + "The `ymin` argument was deprecated in Matplotlib 3.0 and will be removed in 3.2. Use `bottom` instead.\n", + " alternative='`bottom`', obj_type='argument')\n" + ] + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "pm.traceplot(trace);" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(0, 10.0)" + ] + }, + "execution_count": 50, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeYAAAHWCAYAAACi6SpiAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4xLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvDW2N/gAAIABJREFUeJzs3V2IZel+3/fv87Le9ktVdff0zBmdo9E5RooOQjeJh8RYEIRlg5KY6MYBCRQUxWauYicmEJSLoFtdmBBd5GZQFBNsbBJFYGFMIqGgi4ARGR0ZrFgYBUs6Oi9zTndPd1Xtl/XyvORi7aq96kyVZqare2ZP9e8Dh372qrXXXrsGzr+e57/+/8fknBEREZHDYD/rGxAREZE9BWYREZEDosAsIiJyQBSYRUREDogCs4iIyAFRYBYRETkgHyswG2N+1RjzXWPMH0yO3TfG/JYx5o92/957ebcpIiLyavi4M+a/D/zk9xz7BeC3c84/BPz27rWIiIjcgvm4DUaMMV8G/mnO+Ud3r/818OM5528bY94Efifn/MMv60ZFREReBbfJMb+Rc/42wO7f11/MLYmIiLy6/KfxIcaYd4B3AObz+V/86le/+ml8rIjIJ/J571D8cW4/3/AiTb58vuF4TOM4pHR5bEj7n3fh+uMxTq+9HxtjLsfW7sd+Mi79ZGz3c8nC7cfuynX2924nxydDDNcfv8nHOOVaf/qnf8Ljx48/8dtvE5i/Y4x5c7KU/d2bTsw5vwu8C/D222/n99577xYfKyLycrThs76D28k3BNdpMI7pw4EWoJ8E1XaIl+NNtx+f735Bjzbt5bFvrfbjP3naXY7fP9uPT9f95XgavKcBeFEXl+PXjqrL8Q+clJfjLx3Vl+M3583leFnvQ9liMq4Ldzmu/D5ie7f/XDe5hxsD+ceJ3tf4sX/v7ed6322Wsn8D+Lnd+OeAf3KLa4mIiAgfv1zqHwH/HPhhY8w3jDF/E/gl4K8ZY/4I+Gu71yIiInILH2spO+f8Mzf86Cde4L2IiMhLcFP1zdWl7/043ZBjTrsfdHG/HL0Zrh9v+/0S+HRpfLpkHibLyNVk2XmY5KTDDUvyn/h5gOdNFH8G1PlLRETkgCgwi4iIHBAFZhERkQPyqdQxi4jIYbiSV54ev+GcaUlV2I37SR3zdppjnpRWbbt97dk03xym5VKTEqZukocOkxz29PPTJ0wsP2eV02dOM2YREZEDosAsIiJyQBSYRUREDohyzCIir6or9cofPe7SmAfur9QxT/LK/fV55W6Sb57mmFOa1C6X+3G4oW3oi2pl/rwtNj8tmjGLiIgcEAVmERGRA6LALCIickCUYxYReYV8nNrldEOO96KH9Tbs88fr7vr+2FfqmLf78fTaU8Mk9xyv1DFff49TN+WMzQ3jQ6cZs4iIyAFRYBYRETkgCswiIiIHRDlmEZE76Maa3+n+xlf2Y94fv24PZoB+V8e87a/vlT2tY57WLk/H0+tNU8PDC+uP/cmyyTfmpz/DWmfNmEVERA6IArOIiMgBUWAWERE5IMoxi4jccTeladMN+ebp8Wm+96JH9maSV15P8sebG2qXpznm6b04t58bxjipnb4h9z01TQHfVK88zRNfGV9/yYPZv1kzZhERkQOiwCwiInJAFJhFREQOiHLMIiKvkJuqgq/swXyldnmfT253OeZ1f33tcttOx8PluJuMp7le76c55uk+zR/dE/tqLvn68eeVZswiIiIHRIFZRETkgCgwi4iIHBDlmEVE7rib9l2+Wrt8wx7M0xzzbh/m9WTf5Wnt8mazzyW32/247/rLsbX7+WBR7kPQNMd8Y+3ydPwxapRvrHU+8Dy0ZswiIiIHRIFZRETkgCgwi4iIHJBb55iNMX8X+FuMaYx/Cfx8zrm97XVFROSj3bSncr4hUTs9eqV2+Yb9mPv44b2XN5Mc87q9vo65a7vL8dDt88120h87hPJyPO2VPTXNB9vJC3tD/pibemLfkFc+xHTzrWbMxpgvAn8HeDvn/KOAA376RdyYiIjIq+hFLGV7oDHGeGAGfOsFXFNEROSVdKvAnHP+JvD3gK8D3wZOc86/+b3nGWPeMca8Z4x579GjR7f5SBERkTvtVjlmY8w94KeArwDPgP/NGPOzOed/MD0v5/wu8C7A22+/fVOrVhEReQmu5Jtv2oM5XV/HPM0xX+zDPN2DedoTe7vd1yv37X489PtzfLEPO+lj1C5fzSvfULt8JQ/N9edcf/mDdNul7L8K/HHO+VHOeQB+HfjLt78tERGRV9NtA/PXgb9kjJmZ8U+TnwD+8Pa3JSIi8mq6bY75d4FfA77GWCpl2S1Zi4iIyCd36zrmnPMvAr/4Au5FRERespvrmK/PMbdxUrO8q1/etNP+2JPa5e2+dnmaY47D9fsxx8m1p6Y540nZM+6GXPKNuedrr3741PlLRETkgCgwi4iIHBAFZhERkQOi/ZhFRO64q3nl6/djvrIH86RvdTepNT7vdr2yJ3XM2+m+y9O8cjfZMiHsz4l+EnZuql2eJJCLSWK5mOzlfKW+2X6M/Zg/Rg20OZCNmjVjFhEROSAKzCIiIgdES9kiInfdlTac+/FN2z4OabLVY9iXNG26D5dLtZM2nNNyKdr15OL7a6Rqdu0tusmStZ8sWZeTeilnJkvZdtqqk2vHn9fSKc2YRUREDogCs4iIyAFRYBYRETkgyjGLiNwR0+qjG3Z6vOKmNpzTEqltP9n2cVcmtdnsy5+meeW03ewv3k3G0zKknCbH98Npjrnw+zlj5ffHq2m++UqO+aNbcl4pi+KwacYsIiJyQBSYRUREDogCs4iIyAFRjllE5I6btt5MV8b7c67mmPd1x6tJjnm9yzG37STH3E5ql7tJ7fIwacnpy2vvy07qlb13l+NqkmNuJuNpS84rOebJeHr8QDpsfmKaMYuIiBwQBWYREZEDosAsIiJyQJRjFhG5g/IN4yv9sdP1dcztNMfc7cfrXW55u933yr7SH/umHLPd54+Z9Lt2k7xyUeyPz8tpvnlyjrs+l+yu9Meejj8/Wz1OacYsIiJyQBSYRUREDogCs4iIyAFRjllE5I6Y1itf/cH159zUK7uf9Mqe1jFvd3XMV/ddnvTE7rf7cdznoafspN91We5D0LyajMtJHbPb55j95L3+htpl+zndg3lKM2YREZEDosAsIiJyQBSYRUREDohyzCIin2M3ppUnP7ipjvmmvPIm7GuXt/0+V3xRv3y1P/Ykxxz6yQ1M9l12xeWwKPfjapJXnk3Gx/U+r9x8jDpme0N/7M/THsxTmjGLiIgcEAVmERGRA6LALCIickBunWM2xpwAvwL8KGMq4z/POf/z215XRESud2O98vScyXhar5xvql1O07zyJN/c7XPMbTuOh26/HzP9JMc8rV2e9see7MdcVPsc83y+Hy+b/fhokmOe+X2YKqZ1zNN8s7mhjvlz1B976kU8/PXLwP+Rc/4bxpgSmL2Aa4qIiLySbhWYjTFHwL8P/GcAOece6P+894iIiMjNbptj/gvAI+B/Nsb8vjHmV4wx8xdwXyIiIq+k2y5le+DfAf52zvl3jTG/DPwC8N9NTzLGvAO8A/DWW2/d8iNFROQjXemPvR9P88rTmuYrdczDpD92v889t7v9mPtusjAablgkneSVqfYZznpWX47n8/0592eTfPOk1rkubsgr31THPLmFw84k3+y2M+ZvAN/IOf/u7vWvMQbqK3LO7+ac3845v/3w4cNbfqSIiMjddavAnHN+H/gzY8wP7w79BPCvbn1XIiIir6gX8VT23wb+4e6J7H8D/PwLuKaIiMgr6daBOef8L4C3X8C9iIjIS3Clb/YN+eZukmNe31DH3F+M+0leeVL/fKVYuGwuh26+vBwvlvsc871JjvnBfB+OlsU+x1x6e+3YfYz+2FOHXrs8pc5fIiIiB0SBWURE5IAoMIuIiBwQ7ccsInJHTPPH017ZN/XNvppj3ueKp3XM3aSOOQy7HHOc9Mo2k/ldsc8f0xxdDmfLfR3z8fH+nAeTfPPrk77ZR+U+NE3zyt5dn2N2H6M/9ueJZswiIiIHRIFZRETkgCgwi4iIHBDlmEVEPsdu2pl5Wrs87YmdbqhjnvbKnvbH7vt9HXMMu+N5fy5uEkYmtcss710OF8eLy/GDk/05bx7t65jv1ftxU+73Y76SY7bX98q+UsfMZPw5TTJrxiwiInJAFJhFREQOiAKziIjIAVGOWUTkjripdvlKvnmSVx7SPlfcTnLMfdiPh0lNc7yodbb7HDDlvkaZZt8Te3myH9+/v88rvzHJMX/xeLIfc1Vdjutif/3K37Af8x2rXZ7SjFlEROSAKDCLiIgcEAVmERGRA6Ics4jIXTTtm32ljvn6HHMfJn2zw76OOcb98ctcbrHPB2P3YaQ62ueVTx7se2V/4eH8cvzWvUl/7Nn+OvNqklcuPro/9l2rXZ7SjFlEROSAKDCLiIgcEAVmERGRA6Ics4jIHTGtV76xjvmGXtndJJc8zStP32t3+d6iqT90DOD4/vHl+I039v2xv/Rgn2P+yv19Xvlhsx9P+2NXkzrm4obaZXvHapenNGMWERE5IArMIiIiB0SBWURE5IAoxywi8jk2zQHfdPzKfsyTF2Eynuabp7XObpJDLqt9b+sLVb3PE7/+xr6O+ftf3+eYf/DhZA/m+X68qPchaFZe3x97Wrtsb6pjvmNJZs2YRUREDogCs4iIyAFRYBYRETkgyjGLiNwRN+7HPBlP88dxWvc8OWma1y3L/fxtNh/zyc1sn2teLvc55u//wj7H/IOv7/dp/spkD+b7zf6982rSZ3tSu+wnn3+lP/bke9y1vPKUZswiIiIHRIFZRETkgCgwi4iIHJAXkmM2xjjgPeCbOee//iKuKSIizy9f2Y/5+lrnqWnKtpjULjdN8aFrFpN88MNJ/vjf+sK+dvmrD/c55i9OapeXk+tN+2NPe2J792r0xL7Ji5ox/5fAH76ga4mIiLyybh2YjTFfAv4j4FdufzsiIiKvthcxY/4fgP8GSC/gWiIiIq+0W+WYjTF/Hfhuzvn3jDE//uec9w7wDsBbb711m48UEZGXoJjUCzflPjSczPd1yhf54Xm9zxO/dX+fP/6RN/Z55bcW+z2Yj2b78+fVdN/l/dxwmtc2N+SV73Lt8tRtZ8w/BvzHxpg/Af4x8FeMMf/ge0/KOb+bc3475/z2w4cPb/mRIiIid9etAnPO+b/NOX8p5/xl4KeB/yvn/LMv5M5EREReQapjFhEROSAvrFd2zvl3gN95UdcTEZGXa9qTejbpiX1/vg8NxtT783d54IeTn/+F+/ufv7Xc55Xvzfd55em+y3UxrV3ef+Z0r2X7CuaVpzRjFhEROSAKzCIiIgdEgVlEROSAaD9mEZE7bpqnnfaeLic53sWkdvmNxb5f1EmzPz7f5aHfmNQ2vznb1zFP88rLSV55NumJXfr9Zzrlla+lGbOIiMgBUWAWERE5IArMIiIiB0Q5ZhGRO2KamZ2maaf522led+b3IeBetc8PF/b6nPSiGM+/X5eXx44m+yvPlVd+ITRjFhEROSAKzCIiIgdEgVlEROSAKMcsIvI5dtPexfaG2mXv9uN6sh/yvbzPGy/Lab7Zfuj8eTWpbZ7sr3ylD7byys9NM2YREZEDosAsIiJyQBSYRUREDohyzCIid8RNdczTHO+0pjjn/TneXT9PKyY56WqXQ24muenp9ab7K08/0yiv/IloxiwiInJAFJhFREQOiAKziIjIAVGOWUTkc+ZK7fIkUXwlr3xD7XKV9/OxaX1zmlxnmh+e5p6rXT55ej1/Q19ta5VLfl6aMYuIiBwQBWYREZEDosAsIiJyQJRjFhH5HLtSI8w0x7s/XnB9Xtm7SSHzxJUc82R8cdyq9/VLpRmziIjIAVFgFhEROSBayhYR+Ry7qXTqyhLzDUvP07Kn6SL0TWVPF0MtWb9cmjGLiIgcEAVmERGRA6LALCIickBulWM2xnw/8L8AXwAS8G7O+ZdfxI2JiMgnc1NLzjSpirJcnx++actI5ZM/fbd9+CsA/3XO+WvGmCXwe8aY38o5/6sXcG8iIiKvnFstZeecv51z/tpufA78IfDFF3FjIiIir6IXlmM2xnwZ+LeB331R1xQREXnVvJA6ZmPMAvjfgf8q53x2zc/fAd4BeOutt17ER4qIyPe4KR88KVcmX9kmUvnjQ3TrGbMxpmAMyv8w5/zr152Tc3435/x2zvnthw8f3vYjRURE7qxbBWYz/rn1PwF/mHP+71/MLYmIiLy6bjtj/jHgPwX+ijHmX+z+9x++gPsSERF5Jd0qx5xz/r/hhqI4ERE5OMorHz51/hIRETkgCswiIiIHRIFZRETkgCgwi4iIHBAFZhERkQOiwCwiInJAFJhFREQOiAKziIjIAVFgFhEROSAKzCIiIgdEgVlEROSAKDCLiIgcEAVmERGRA6LALCIickAUmEVERA6IArOIiMgBUWAWERE5IArMIiIiB0SBWURE5IAoMIuIiBwQBWYREZEDosAsIiJyQBSYRUREDogCs4iIyAFRYBYRETkgCswiIiIHRIFZRETkgCgwi4iIHBAFZhERkQOiwCwiInJAFJhFREQOiL/tBYwxPwn8MuCAX8k5/9Kt70pE5DNQ3/r/EUX2vva13/u953nfrWbMxhgH/I/AfwD8CPAzxpgfuc01RUREXmW3Xcr+d4H/L+f8b3LOPfCPgZ+6/W2JiIi8mm4bmL8I/Nnk9Td2x0REROQ53DajYq45lj90kjHvAO/sXnbGmD+45ed+1l4DHn/WN3FLd+E7wN34HnfhO8Dd+B534TvA3fged+E7/PDzvOm2gfkbwPdPXn8J+Nb3npRzfhd4F8AY817O+e1bfu5nSt/hcNyF73EXvgPcje9xF74D3I3vcVe+w/O877ZL2f8P8EPGmK8YY0rgp4HfuOU1RUREXlm3mjHnnIMx5r8A/k/GcqlfzTn/vy/kzkRERF5Bt67ayzn/M+CffYK3vHvbzzwA+g6H4y58j7vwHeBufI+78B3gbnyPV/Y7mJw/9KyWiIiIfEbUklNEROSAKDCLiIgcEAVmERGRA6LALCIickAUmEVERA6IArOIiMgBUWAWERE5IArMIiIiB0SBWURE5IAoMIuIiBwQBWYREZEDosAsIiJyQBSYRUREDogCs4iIyAFRYBYRETkgCswiIiIHRIFZRETkgCgwi4iIHBAFZhERkQOiwCwiInJAFJhFREQOiAKziIjIAVFgFhEROSAKzCIiIgdEgVlEROSAKDCLiIgcEAVmERGRA6LALCIickAUmEVERA7IRwZmY8yvGmO+a4z5g8mx+8aY3zLG/NHu33sv9zZFREReDR9nxvz3gZ/8nmO/APx2zvmHgN/evRYREZFbMjnnjz7JmC8D/zTn/KO71/8a+PGc87eNMW8Cv5Nz/uGXeaMiIiKvgufNMb+Rc/42wO7f11/cLYmIiLy6/Mv+AGPMO8A7APP5/C9+9atffdkfKSIif44M5JTIgMGQciakRE4ZYwzWGBIZA8TJsUwe3wzEmMAacsoMMZByxhmHMeN7YorElDAGUoKU8vh5BjCQ03jc2vGGUgbnwFnDEMcP8c5gMBhrcMbgrMUAzlmsMVgzvtkYs/tmBmsuPgRyzpfnX4ztxQdiLk4j50zOF0cvvyI5Zaw1WLu/3sXnXP1tMrmHvZQyv//7X3uSc37tk/z3ed7A/B1jzJuTpezv3nRizvld4F2At99+O7/33nvP+ZEiIvK8cs7EmIgpk3PmfNtTlQU5Z75zumGMuYZhCCSTSSHS1CVdG9j0PcZ5jhpPXZa0Xc/pekPpDE9WHY+ePmPAUlvLWehZP3tGl8HGgfMAJBgSnDQGX85ZrVesA4QWTAFdD5tzWB7D0Rx8BXTje+oC6qbmwWLJMAy8tjziC/ePmVXg3YyysMSUqLyhD7CYeVK2pJRp+4GjWUFdlZAhxMC8KgGoCodzFmMMfR/Y9AHv9yExpYQFvLfU5Xh8CJGYxrhvjLkM6M5C4d2Hfuerbc9yVv/pJ/1v9byB+TeAnwN+affvP3nO64iIyEuWc2YIiRATACEmQoykLo8z2ZjxhWcIA6W3rLdbPlhvKc5L6pmhawewAzE58umWIQdqIhsqCuM4WpzQtluedS2rsw3rCI335KLgOCaCiSQsIYOLLefbMeCePHCc95GmhLqE2MG8qllUnlBZMIl+iMzKgjBEIpE+tKw3DV1veHgvkbLBWot3FizYxPi+EJnVHuc8KUE/DKQYMcZSO0vydvzebgy+dBDCGJxTSqQE3l/N91pjwO5m15cz8N3xa3w4VH88HxmYjTH/CPhx4DVjzDeAX2QMyP+rMeZvAl8H/pPn/HwREXnJUspjsMlgrcFYS1V4nm4GSJG6KlhtOtoQMSny7dMtPmXm90rikGjDlk3XYjeee82cGAa+ExMzk6hnM+qU2FpP6HpmTcU81wSXWVQ1XYg8W5/z2qwhxkgXB+7PAzhYVhW1G+iBo8YSYkdKHdkUVM4wKxs2tqPyBbUvmVdHdGGgHXoaW/Gtx2fcP2mYFyWDjTRFgbXgrSFnR+UtxlhCCKzayLK2OOuIJDZdpPSJnCxF4Vg0nlUbGIZht0wOMVqqYh90rTWkOAbj6Yz5Yqn7e5WlG3MFn9BHBuac88/c8KOf+KQfJiIin74M+6BsDIaMtY6jOrNpIzEMxJxZVo7zLuDjgClq5t5RLRrONqeEFHlttgDv6DvDk2fPaMuCEwwxWyoLdV2w7QKzqsLlxKxsaPtTnEms+gFLxCXDaw/uMWxanC9IeEo6bIRusMyakmXpcUXN+XbLYr6kNmC9p3AlEceQEzPjiLEjhUy9rDE5MuBYOoMrCkofWbcD1g7EGGgKg7UeSLR9JBNoOygLSxULqsKxqD1dn8iGMaftzDgjz2Me2xiDd7t8+WX+2lybXwZwzkHO6ZP+93rpD3+JiMhny7Bbet0FEGsNcch47zieN6zawIl3FM7zdNVxcv8ehQVfuPGBK1NQWDDe463HuwJXVLSxh5zYdB2F99TWEgqHd5bGF4Sh58lmgw+B+bxm3fb03nOU4WwYsDHgsuHpMDAMmUXj6dct3yDzA8ZyvGw49p42RZ6dn7EtZgyx43g2I5vIommwzpFioCodzhj6nHHDwBDAut101XpMBmMy2y7SxsSs8PQpYSJgEtaAMZaydLsHxEY5j8v9zo2/O7ML2C+TArOIyB1n7fhUdYgJ58agY00mDomidNSlgexJGB4cF5jsML6gbXtiCoSho/CJwhhiTlgMD+ua8y4RYyDFgfWwJaSIiQPrlPBt4tl2zepsIEU4XT1jsSg4Lmucs7x2csRqu+X9R1uygcXCUxpHuVzgU8+A5fubOU+7nmGIYAu2fcdycUQms9r2+MpA5ehjos6WIQXW68CiLsgYbDa0IVJZMM7R9pGYE5XzDDHisJSFBzIhZQoP09YeF0E57Q5erDi8bArMIiJ3nDGGqnTQR1JKY9lPyhhn8daSjaWLCect95qGJ23EhYGi8JAiy+WMs/Mt6+1AVRuw0BlLU9YkC0VVk/st0ThqA5uu5/3TFWdd5qiE8wB9gJwCq7Dl2SZxspizbGq2x5HFfMa2HSgKx3FVUlXj8nW2ULvx6eiu69nGxKzf0jQ1bbdh4wyL7BiGnsd9JMSBo3lNzJYUA9lAiolgoMJjbIY4BtYYYTH3WGt3v5PxIa6UM44xKIeYgbwrFYOwe1jsZQdnBWYRkVeAtZa6MsQ45ljL0uOcJYRIG8ZZYWHAVxVHsWXV95jdEu5bD474trOsNh1dD9ZGGpuJxhBJeJNZxcCq69iESG57ThYLHCse9ZmjmSe1gSfnmSYOzEicnZ/xpE8sLeN7yprz1ZZlNaPBkJ1hGMC7ij4Gqtpz5BNnXeCbp884qvy4HB0tZeWxOdG1mRgNzkTakKhKT1ONM2JfWGyG3iRImUXtLoNySomqGGuwSfuZ8kVl836mfHVZ+2VRYBYReUVcPsDk7SSPmmgqj4FdMIJZU451vr4gprFwt48ZXEF3vqHLkVXbYgtP6lo64/nuqgNncQnOk+X0dE0/ZLoBhrkjlNCdB7CJaKGuDXM7lhQ9jpHifE1TO/puxXeCZ1kYWmPHzw6BISQ2RTXmgc1YS3zWbjj2BpNLnLcsZwUhDYQ2k4zDD5Foxppli6HwjtJ7+pjxdmySknOicG4smcJQFoZxQWGcKU+Xry+exH7ZtO2jiMgrJDMu2V4EmMTu6WFjqEpPXfqxIYc1pJwwuwBeFCU1kfMYScFSlCWp7/jWasNqdUZpLe16S5syNkXadeJsA95Ae97x9DuB0zM4fwomwb3lguPZjGq+4MtHNTlD30WGHKmJnA7s7mlGj+XxticMgbrwlPUMQ4n3DVVR0YYx55xjYtVFzrY9VWGJOdKHRO0tpbekbGgqz6KykDM5R7zJVMXYVcy7sSbaOUvh7IdyyhdPYr9smjGLiNxR04eXcsqYXQtNDOQ8Ls1axsYa1tjLetyUEoW1DBGG0NOGSNf2PFn31MZxcv+YDz74gO9sB/ptxymR2hU83nSUqeNoXmGrgAOGAGcd1A5e/wKkHubLgpkr6IoMhcfbiuNFYlY66mpGSh2OTJssJkQaX9GUHdlFZkVBigFXlDTeEzPEIRJjJBVj7jzExPm65cHJjEVZYIzFWUPlx6Dbh0xRGEprySkRk9nNwq/WLF/kmK90+XrJy9igGbOIyJ108fBSypmYxplxTICBEMGQSDGRcmIICWfHABRCoO0DiUxKgSFFNl0Eb7HJ4ArPs9MVZ+1ANpmj5YI0RLbDwLIcm290oeeognsVbFbgWig99B0UwLzwtLElGGhwpGS5N59x7+gBy7ImGUdVzbHG4n1BNoaYHGnIOGeZz5bcn88pSscwDFTesmwKhiFTlhUPTxZUdYHB4gsPu1KoonAMQyTljLFjO05jLSnn8cnvibFm2exLzdj17tZT2SIi8jxSypcbSJhdYBqXrw3eZYYh47yldgVVkQghMwwD/ZCwNtMPmXUXSDnRlJmzdaBLLafnHRnDejvQuIp12DKva7J1hG7LQKK2/SZBAAAgAElEQVTvMoMbA0wzg1kFyUFuIdew7Qbi0HFUNZzHliFGjudziAO2rAh9ZLN9gi9L1usNgwkMqw1bA9YknPe8frTg++494HheY7LhdLPdzZYtQ/J4LDkn1tuWk1lNXY559ZDCZY9suKhLtoSUqIAYI30fiYz577J0ePe8zTWfj2bMIiJ30LiTk7n8l8lrMDhvKfy4kYP3nqoam3BYaxjiWEJVFgVdyKzaSBsHhphYB1i1HZ3JnLUbnq07juczTuqSD9aJ7RbKCmYFdIDPsB3ARCib8Q+F958ECGMN9Ha9YmYzp2dP+c7pKTkEmrrgO5ue821H4SyhS6ysYXFU8XBxjLUlz863bEPEkzhtB2K2LOZz+mB58rRlPQRiSPQBqknTkIsZ8JXf1W5GHGNktd0FZeeIML6OV2fTL5tmzCIid9B0Cfai69fF63QZiNKV/HMbIyab3TaJY0OSynvWIZBSpnQ1r808H6x7Yh/BwsN5ibWeru95494Mbw1nbY9zsMwDZgFPnkLoISQo3Li948UekBHDad9jDay3LWfNhmgSX2gKqrqm6zuOjxqqdaIpKqq65EFRkVJHYRLrbsBbS+0cyRgqPzZLiSESUmRZWc62A4sEReEovGXbJyBdlkvFmGlKS9/HcevJ3Qx5/HecQTfNpzdrVmAWEbmDLh5euljOHls2G6yFHDOJMR+823BqPDZENjFR+gJrLnpCjwGV7DleeoY+0BQlz7Yb2qFj6AdijrR95HixwCUDpqVPPSkFtpvMrIb1ZmzqEYBj4I+/BVXV4gqoSljOHGVlWLcti7pmsViQreNs3eKLhPUVmZptgOOqYUiedZtZbbfM6wZTZEwIFN4zq0tyjiQcdVWPufOUiX2iKsz4xHYc65dNzlSFxXtHF9JlUL7gnNOMWUREbs8Yg7OZEPJlpy/n7fhAlTMMMdMPYR+YUyIaSCETTMQ7RxcDMUYckdKPzTsoS6rKk8lsuhXRwnFVYkn0bcsqJRwZ5x39+Vgv3IVxGbvbwAeP4dFu5nx8BA2Ag3AeOV5Y5qUn5ci3T9eUzuO95azrOD1vef14oABStjQ2cTr01N7QGEcXMlVl8Pbij5HAsimw1o59sHf/xpgpC0dydtc+ZN9q0zEuZ0+D8/j9P10KzCIid1DePY1tncUZc7lkC4lhiISU2bYDOAPZEFLAG8tyXrLaDKQMBQZfOZyt2HQ9q7YnhR7rYAgtdVlgh551PzD0A+ftAAb6wuPCQLSGxmYer9ntygRDglNgEaF/Cq85CAPcfwC4groo2A4DbTtQHc+4v5jxZLUm0PJk21KYgllT0+ZIXc5Y1iXsdswiJbZDYu48ZVnh7dgT2zPO/sfaZCiNv7bsqSwdq20E4uVMOUY+1WVs0MNfIiJ30sVT2Re55ZggkxlCJuZMP0SCGZeXrbP0Q6YN49LuvHaUzlCWntpZ5lWBcwVHjadpPG030MYea0uOmyPqqiFbT8yJxidcSpTJ8PqywAP3ZuMMOQ7jk8732T3xbHcNR/z4+riuaYeWzdmKpjTE3LHZbjmaV/zA/RknpWdee4yJmAwz57DesKz9rqFIhhw5qg3HtcfaTAyJbMal6pASfRiXsK/jnGPRuP3MGcbXn/JT2Zoxi4jcQdOnscd8aiamTCZjrWXIAzkmugTbvidlQw4Dz3LiqC4p/Fgj3A4DGENTOZwpcCYR5yWPz3sWdU1TLfBDj02QYqBPPT/48CFdhBi3fP3xI4oCTgc4XcPXge8DInDcQMiw3UBfQ0VgDczmFTYbjPHjHsu2pqgtxmy5t1gwLyu2sWczBMrK0oWMN4bKQ1OWYByFM6z7QBzGerEQAt47mtIRQqIsr5+XOuc+9Rny91JgFhG5g6ZlQUPMWGvIZAyGGDMpjjPnlA1jbbOlDTBsB2o/zjY3MdP1iZgN3sAH64CzGecqhmA53fR04Yy+D6yGMLbHXA+0w1hydLrueVjBN3qI6/Ge7gEbYAmcb8BmeO0hHM1h1beAIWQYsqEyliIHPtieUxrDw6PF2BEsRk6aOdtd/nwYIpvQU5QlJ4uKmAzrPrJpI1XpdmViefcwnOH6+fLhUGAWEbmDLp7KTilhyISQdtsW7lpxWgh9oiwKnB1DQY6RTGTb9+Mssx84b3vWm56cMtY5yqogxR5TGNp2g0kl5yHQh4F2u2VIge+er3ApsA2RXFi8SVQV+AjzflffzLj38ZGFN9+E+/OGVYj4CLkuWKTEartlsAEbMoujYxZVTc6J48WMpi4oh8Bm241lUiUcNZ6YDc4aNuseXzpK78BkDI6cI5ttx6Kpxg0suPrw16FQYBYRuYPGlpLQxUzKYxAsC0tM0IeIN3bMOQ8BX43lUWNnaI93hpzgtE9sthnvCh6vz4nZYM7XJBILV2KqgrZrOW7mfLA+I5jMg8Wcddez7iPeWr77QRr7ZbfQ9uNseQbMapgdQ1PBcVWAc4S2x3jPF5fHnK7POW8zNve8fq/BJniyWpNNYlYUmOzxVclyl8dO1tPUJdaOS9UdYw56O0CVE3XlCSFx1gdmdd43YNm1Lv009ln+uBSYRUTuKGMM1hgKPwacEMZtDkMIFIXlwbJm3Q70fQALJkcSFoOjyxFioigdKUa60PLBuqWpSxZlwaJZktpzwhDwRJaNZ1ndw7uCxDkhBVbblm0Al8GNLat5rYKhGwO1K6EwsM6GRcw8WC5YtYHH52fEZIl2zEEPwLeePMU2hvt1w6P1hvs45r4mE9imxIP5rve1GWf282DpwsC8rrHGXq4czHfbOl7dyjExDAnr7EHMoBWYRUTuMGMNOY47LsE4cy6K8f/6nYGEI+UOkqOPmSFHLJm2GzjvenKEbduy3nZ0EaqU2PSBkM5IQ+CoaWiKhtQZjIcQE23MVL7kzAwsa3j8FNrV+HldB64A0vjQ170TiH3P++c9r91b4E1m2/eEIY2lShZMdviqJgwDYbc5BYzfaV6XzEymLAuGGKmtw5Mp6orTTYc1lroqxnIxPHVpyN+zleNFLbc7kBm0ArOIyB1mjYG821HJGIw1eGMZQmKIiaYwnAUHGeq6pAyRLiSGlKispQ8DZ10HxrEoDF07wKyEbiCajB2gy1v6vqf0jrN2jSNiLbx+dETXDPTDlhxgtYXNAHUFSwtnK0gZ+mxY9xm/3nDUVBSmwBawSBuMMczrhpAiORXYZKhKR1kUlIVhVjmqwtIUHu8cMSW6vmeICWcGug4Mmco7msaPZWSTXtkpjQv4djKDhnG7zE9ji8frKDCLiNxh1hpiAu92uyuFyJDG7ld9AG8ti8aQcsZi6KynCxsq66FxbPuB42rcwWnIifvLIxpfsOlWbMKALzzLqubcWtou4DEELN98tGLZQNnMsA6qI2jmcPoUjhcQzdgzez4DouFolllWFaHtsJWHCLUvaeYzumEMtKUzWFfR9YFz05KyZ1aVlC4xJGhKQ0iWmC04z6wsaCOUKWPd2IYzJijc2HDF7rZ8HFuV7oPwRe75s6LALCJyh13sKzw+AJZx1hDTmEO1wLBrQZljGo+FniElEoZFYVi5zGBhiAPOFTgDznk2IfDw6JijqiI7gzOW94dzNtueomyY13DawpHruD+D7eOx69fyZNdQJMDDB3DeQXCJ145KcugYnGFuHLhx+0niwGboGNpENW8gDZxvevqUqH3N+BiXJ6fM09WKdQeld8xqT1F4TAhEAtvOMKs8s7oAuOyCZgFjry5bX2z28VlRYBYRueO8s5e1zBf7Mg8xUXpL7CMmJwpn6PuBVRdwZErnGIyhqSqszYQYaUMkpsDZ5pzaG2aFw5WWMIxdxVIEnMU5z8liTjItdVHgZg1fKjacnSXmC0PfZ1ZbOBvGIHSysDRFyfubntdqSz2f4UIgmkzqBrqUeLBs6FOmtBHnHSd1jbUF1hiauiRj+OC0pShKjLMMETCJwntCgLoqKEu/3/7RjMHXFpYQ85UduHLmM1vGBgVmEZE7zzlLymkMOoCzBnAUfnyK+YNVN84gzfjglytq+hCIQ6QLkU03MCs9xhi2Q49xFjNEHp+tOQkdMTu+c/qER09XmBTpuoFH655+BU9d5N4x3FvWNKUZu465lqGPZAevH5fMqznOGo6jo14e4VOmbmpiiDzetPjCsmxmDCYx8w2lszRVhSscBkO3ayXahkA2FhMNs8qMwTknMGncyGLyO7ncBnNXVjbupDUGa+f0VLaIiLxExhgKv8svh0gGLJm+z/TRcNRU5AxPVhuMgbq0WONoMVjjmZXgLPS5J3U9KTtMjITcEVY9DxZLVtuWx2c9toDKJ7YRthFsD0UB0UYaM1CVM5wpmM0iJ3XJydEJ1ns22y0nswWhC4TCcdoFKpMZUuLeYk7vPA/LmqpqsAzEkGlqy7YfCDGy6QccmcEkQorEbKlcZnCW42acWRsDIURCTMSUcMZA6XHO4tzhbB2hwCwi8goYl6/HDSustQxDoB3GlpXej+VEpR3rl0NIOGew0VAWnuTs2DtzM2DLGVU2UDb07UBKiW6IWGcpgXUP2z5DGPdZHloILWwZCB5qF8gx0yZ4+rRnPhs4KTwdmWfrczbZUG4S86MTztctOTpSl9huT/lGsWI5O2FmB/AFrBPOGlxhcXiaWUU2mdJaiD1tiixdxaysMUA/RFKGmMYHvowx9CHhMxTeqsGIiIh8ekJIWMs+x2otxhpSgpQS2y5ivaHvAAI5ZU7bjn7TQ2HZrLZ0GVJIDLagzBZfOQg9EUNhSrYOjIPhDEKErofKQ3TQeFivAHqshwdHc1abDdsUydstp6tzPhgSx9Yy+IJu2xON4V7tad3Y77vI0Hdrzk3mzdpSNAYs5JipGkfbB+rSsmhqjB2fOD9uCqwrMCYzhLFg2dnJDDmPS9ifZXnU91JgFhF5BSTGoJxSIuzqlGOIJJvI2ZHIlL7Au4G+jwxYfIzEsiC0PW1OhD6wyZE6JAYHfdsTU4J1pEuZRYazftx3eX0OZQZ/H2YFrHo43UAq4M1FRV01NKWjG1rOPugpZxVfni2JxvDB+YqcB0pv6GxJ6AcW1QzvHUNMPKhqfFmAd8zqCmfAe0fO4y5S1lpIgar0OO/He7QG7x0pZbzf7x6VAYzhsyuO+jAFZhGRV4AFQgj0AawF7xy9CbR9JPo0LmcDTVngnMEPmd475s7RWcdRjjyOCbfteZYjdhPpCdicySRszqwGePwETB4D8/vAF4ChHuuWsxv3f37/g46TvmM2q5kXNXnueH15j8ViBmHAF45Hz05Z1A3kTDKOui55bdYwhMiinpFzpClLKu+IeSwHq7zFW08MA5HM8S4QW8NlN6+cMzFG4m53LWvG5iPeHk44vNWdGGP+LvC3GP/o+JfAz+ec2xdxYyIi8mKMTx/Dpgu7p44Lch5nyHURWW97krWUzmErT9xCcpHCepqqBDOQUkXZtTzrO7p+ICZDiFtmswYbE6sYcBGKEjbrsTa4THC2gWLXYOT9P4MnwBv3xqXuh3agspZlWVDUHpsybc7MXUU/q8lpLHdaOMuyrniwPKEbxifI67oad5jynrNNhzUBUzQ4A30a95QeG4iMvwNvL568TpxvIzGOfcEdiVgWlMVnuwfz1HM/hmaM+SLwd4C3c84/Cjjgp1/UjYmIyO3knAkh0vbjQ0+lH3Or/RAhJwoH1nqKwo37N5PphsCq3fDk2YZEJAyRunA4C01ZsahKlssFi3kFRcmyalgeL4gBuhIe3Ic334KHb8L9JTyYQzaQe1gsoGJczs4dnK4j7XaD85baGJI15KFncIllVfHw3pIvzGcczZcwBLquJQyB825LzMM4S9+sGIYebwx14ZhVjsKNnbyGELFm14rUGJyzmJzo+wgYKu8ovGeIedzI40Dcdu7ugcYYMzDu5PWt29+SiIjc1sVmDCnlfbvJPHYBK7xhGCKBTIyBYUgkEutN4LwPxACmsJgMp22Pz4nT7YahHzC+YmkzoWgIceAsBsp+zOHWETZx3CjD1zAbYLWCzTksZ+MWj4s3oTuHtYdlBcu6ovQFq34DOfH09IxZM+eNk2OsgU2IuBTZxp51v8UZw8ms5LhpwFoyFsvYdKQPiWQyM+d2D7mND3yVHnI2VIWj6wzLeYVz+xlyjOMfL03z8X6vKeWXupfzcwfmnPM3jTF/D/g6sAV+M+f8my/szkRE5LmlNC5fY/aBoygs3ZAwJtGnsR1lN2Scc3hj2HQdIURiTJACq8HiiQwWQh95uu3GnG/RMAwdwRa0Z+cMtSX3A5sEHzyDZjZu53i+Gpesj5fQRagNDFuYL8el7lDBo/OOqgpUzrEKHUNO2ALaEDHG0mdoCs/DWcO8qTAusSwb5vMaby1NYXm86shp3DUr9AODM5iQKOuCqixIMZLzOIvO9sO7RhkzHv8oF3/sGPNy93K+zVL2PeCngK8A3wfMjTE/e8157xhj3jPGvPfo0aPnv1MREfnYMmOwMHC5IYMxBpMTm21P3w+QM2VhKLwnY2j7zBAMmwG2A+QYebze8J0nK3oCpIgvSmLqebJ6ypNHT4lAbTJthm4LpYO+hW9/d9zWsayhnkO2sO6gHaBrwXpYreHJM3h6vmHIGVJBVc9ZbSLfPT/ng/WGnBIGz7xucL4gBYspHCZluiEzhMi9WUVTzyi9ZzZryHHMJTs3PoUec8a5sWSsNIYhRlIaS6dSSgwxUtmPDocXf+xM93I25mKHqhfnNq1O/irwxznnRznnAfh14C9/70k553dzzm/nnN9++PDhLT5OREQ+rouAbK0h53G5dttFsIaqLGmqgpAMBjP2we57Nm1PN3SYnAl95KxLDF0gk2i3gcddy6Nnp4SQxjrjDP0QOFsPbAdYLuD+ETQleAcnJ3A0g2DGnSIzY9Be99Bvx3usG1j3A9t+IHkLOCgcKWTa0GNMoCwyOEsMCeMMm03PeR8gB2LMDCkDgZQiMQaqwlM4N3b2yoxPXXtPAnzh8RhyHoNzzpHCWOrd5hZ/nos/dq78nl9CqdVtcsxfB/6SMWbGuJT9E8B7L+SuRETkVqw1l8uu3hm22wgGCufwNjNEQ7CBYQhsAgx9ZD6reXq2Ydt2bGOPSZnsHTZCVS+Zbc54f9Oy2m744BxsAV2Gb38L/AxsHOulz8/HAGwDLO+NT2c/62C9hgF4YMGO8Zd2gMIlNl1PERLrlCkslMZyft7S9j1HVUMcAkOCqsgMxjKcbdkUjtB3FFXByXyGMQFnLQUJ6zyQsdbuapzHPZetsyyacXepCDg8Zemu5JxvcvHHzsveieo2OebfNcb8GvA1IAC/D7z7om5MRESe35XNGRhbcc682++gRMLgOB0GvMngDT5ZnANnM2Eb6G1kaFtSMrR9zzeftaw3kEJmvQXnx05fbYb/n70317Esy9L0vrWnM9zBJh8isiqSxQSbBDWSKIUKFb4CH4ASNerUWqNOiUCDACVq/QB8BQINNEE0utlEA1nZlUOEDzbde8+wRwr7mrtHVGZ3sCIr0825P8Bxw8yv+T12hPjPWnut/0938G4CB2hbBThG2NxVr+zbWzhSp7JPx/p3SsHhBD2wvVzY9OC2cLV3LDFDyegIt6cjEYVTGY2j1xa3caSQyUYRQsYHj1Id07wy9por5YgpY406t/JrYEcItbXttKIz6oMT2o/h6WEH/mGTqH7SVHYp5R8D//iPdC2NRqPR+CNSV4SqaGStyOXj6pDRQkoFncFZzUpiih6KwjqHCYHT44nfPB6Ji+c+wrvf1mnrGCEXON2BszVT+QTncAy4D7W61MC397WlulAFOAOHUofAlvPPuA4ejvDmHm72IMHTd9TzW6dJUtBkrO0RJWzGHmcN0UasGjguHiXgjD237zVjb0m5EFM+O4Mp1lAQKWilyMDiM73jR4vznyqJ6vOxOmk0Go3GPxhaC+uSQBIU8CkRY8F1BqVqkMVhWnFOEedESZ43s8cUSM6i10Axdf3JrxBq4UhMtTpez58zUivjuhcNb6lCE6mifEmtmt9TxfwvgIs9RA/5of7bPkHM9Zz6L4eBn11cU8QgJERpYk5YNEYJsWScNXS2VsZGW0pKrCEy9h0imUIhpSrKIuqTFadqT+rcj6+aP33Y+YeiCXOj0Wh84ZRSyEVwVlh9YQmexUdEpMYh6oIWRVbgtMbsLCGt3NiZg9Lc3z3Qq7qHrA2QajjFPMEhQjp/jgATsAMeqGIs1PZ2R62mHwB/fn9HXZvSGpKF3WUNjVpDXbESgaOPaGXprCbGzNg5tFT7zZgKp8mjRFiLoTgBBKs1xzkxdAWjhXy239RKfW/v+Mk7/MM9+gfeT/6xNGFuNBqNL5yPaz4KYwpxUYjSFASfMyVWEVMZjjFhVaEky8XFJWpd0cC7xwe6Hk73sLuorewOOE5VcPfUCjlQK+Mnb+a/oApNOr8+AhYYzq9WqoDHur3FqKB3kHJ9fwgzj9PE68sLLnYjm96wRljXmRQi96eZEjJfXV9CEXwWjAgY8D5irUFJYVkDPlX3s96ZOqV93uX+U+0n/1iaMDcajcYXztOaT6FUO0pV0EWzxghFiDkzLZGr3UB6nPExoJ1g1ogxmn3X804fUGQGA90AJQEW/tN9NRJ5ONbPKdTwiqfW9gn4GtAK5lxF+Kb+aK2wE8zf1vdrQAUwL8BEyBpy1vgSiHFFZMAagyLw29uZkCKXo+OkCreHlU3ODFYTsWyUZgmRlCPHtWB1AQw+ZpYY2fcZpQzOqd+7nwx/vijIJsyNRqPxhfO05rOuC//2/T0+aJSu57TjZkQpwcea1rTfdEyLpreZEBI2BBZjuDrekUfPRVerYmvAR8gL9D24sYrtb97U1vUGuKC2tt8Cf6VgyTVt6voKTIbbA0y5VtcDtQU+J9iles58M2q+utyRYuBX72/5j90VszaElHDGIggLmrETTmvAz56xG7FSPb+NFlKEztZAi5gzhvrqQ+Zyd/5+yr9/P7n8ecIgmzA3Go3GF45SwvE086vbhXUF11mmOfE+LLwuGTEKKwqRQq8E6RQ+K17ueqZUcEf45sUVl/tISYXbeWE+TCTOecYZdgN4X0XbUFvbA7UKBlgj/OIrOEboTV2x2gSqcgN2hK9e1VhIo2EzwG7j0Kbj5XaLT4F5jixpZplm1hqkjDqtvLgaMcYRQiJlUKquhWlRrCmz0/VrQ13R2hr3MbeZP91+8o+lCXOj0Wh84YgIx2VlUNBtB+7ngCjNxmQevefKbOicIabMyQcU1S2sH3viUaF3iSwZKRMPREbXYS+E0XvuTMB40B28u63DXSO1ajbAVxvopNpvXl7BOMFv7mA+QNRVl1/tYb+pzmGjVqw+s9923Gw3/OxiR9cPrMcDvz4sfL01TAVWv5LQDErz7cPMq22HlESMhpQ0RRReoKTA6hV9130Y9ooxYj5R3T/VfvKPpQlzo9Fo/P+AJUDXD0ABpZgWz+wtafbYvWJaPadl4TCtGCWMo2XQHWIKaQpIgfs18LBM7PsdRmtus3C1taQciCEiphCoVfKFrfvJytaBsasBRitMXYFcPbTzWkXo4RHGDiYPncokAVUyU4icQiQWD6oOmx3WiJZCRONXj+ssJXi+u498fbXB6DrYlkomh4zWmtOS0CqgtSbnSCyG7eaj/P2p9pN/LD/FK7vRaDQazwRn6hmzUgpnDPvNgKRIP2q0Eo5r4TAVlAykbDieICAMxqFdh0cxuA4xlrtl4jF41tMExhGL4TEVrIa/srUKXkId+Hp3B1OBzQW8OxWme8h1q4nLq4+T3O/fw+9+A289vOg12jrWaebd8YiWjMEy9iOPywlPYlCKziTu15ld13O9GRDJPE6BlBJGaYzVKBS7QSAnfIx0Stj1CkSRUv5ewIfWCqNrZvWfS5ShVcyNRqPxRfDDPVyRun709PV+6LhfPbIsWOdY5xWcZn/OMRYy27En5UzKgl8WfvP2LZ0ZWdNMiYWCkMJKKAqbFY9T5nC6x2fwoSZGjT28CFWcw2Ot/n52U3eVl8dzuzvV73dTrYILkHNtf/cFxGoogrMWIwqfVzrTk2Oo58cpsR03iAQ2veFqv8UazRITvVYsa0QbTYegnEIQdqOjc5pc5LNZi/pDNGFuNBqNZ84P93BzzoRQsEZQqjpiWdvx80t4XDzzutI5+MU4sGbF3WHB2I6cEmsqzNPErQ+UkBicr/7SShHTxGn23B0Tbqg7zNNSk6MWYHpb16Febat15+MddB0YBVFB6WCzh4e7KsyBOsm938FmrOYlfa/wQbi6GEilYJWgsoJUmEvm9diRtEVyYtvv2PWaUISb0TIWQ0pCzAUjCpRglcYZoXNV7j6ntag/RBPmRqPReOb8cA+31GNknrZ9PtpIdrweBgBiTKwhIX4l4zmdIiiNRXggY1PGdZY1RlIplBS4Ww5gFC+3mce10BlQQx3kWhPchrry5AVWXyv1HOD9A9gZNg4eH6vZSKQK8zX16xzr9S4p0wlobXFkAuCM5uXNHrnN6M6xc5Y1JUrKbMeOsbP0fU+OkYlEbzRD70gpEXOmx6CUkHL5rNai/hBNmBuNRuOZ8yQrKWXK+VVr9b2c4BAC98cZHwFJbKxBG8scYd91xKQ4nnz1wI6Z/WZPZ2s1OfuVOcASMi+GkYSiqCNbB28OgXSCm1fQH+AwQzxV96+hh2mGe2Dv4TfAFTXM4kA1H3lh4Oa6PkjME8weLpJnXRcSiV5rfFh5d/tASpmNUmzHgWurSTGypsLgdDUWUUJB0zvIKaFUwSlN15ka3kH5rNai/hBNmBuNRuO5UwohlQ/+zqUU5iWcfaIVPnh+fbfQa7DOcX/wvCuZn11AZy1KFC+UYuuE392e0Dpi8FjTE0JmdD1GIhfdQEjCEleUMsQcCB60g7iCZLAKiq6tbCcQOhjWGmwRqWfPVz0MCYYAWuqfsa/2nMqCp/DL97c4ga8vB6bQE0hcDI6QFYd5pQuWsRuWqrsAACAASURBVIfrzjJ2liVFSkyMnUGkDm915jzMdd5X/tzWov4QbSq70Wg0viBqYAWk87lzBt4fZ8gZYztCzFhjISW+vT9REJzV9J3jarvjm9fXvNxfEpXl9vHEHAIP8wlP4Rc3V6TgyTGjQuC7dxEfoLN1uEv10HewRPjNEX53qJXz1b6uUOXzNU4LrBm2tpqNlHMUlRFYTtAVzeUwkCPcr5kQPUXKeXCrUHJGaYih0DvLZuzZdg6lLVCFWImQcm1VK/XxTNnoOhUXYyKljPB5tbGhVcyNRqPx/BHBGiE/5Q8robeamDM5F05LYux6oHBaVk6+pknNS2ANNQNKkUgF1jWQtOZ6Y7gvnveHI5HICw0PPjHlQC6BkFVNhgLCej7XjnC8ryYjPbWF3aU6JJaofyZqutQ2VZ/szta/iBlOUx0k67oOazo6rXCd5RQSmwK388I+d6jBYRUYYxGlWNZATImcEyEWslE4ozG6roL98Fy5IB/2lD/HyewmzI1Go/HMeco+fjpXFhF8iAh1J3czGKZ5RaWOEBMlC2sIaCuElPEh0ZtCiIn7ZUVnhR01u80OQXGYPY9LYFk95EQuihcXO4bhxMNj5PEEJcBs4BThRoMZ4O4I72J1AvNUwdHUFal9B6cVlgnmGa73sGq4vrTc7C8QpRAZEQqH44k1ZYwIWmmWNXA3CX9xYRCE0xI4rInearTWdTc6C52SOob9CZ9bYMXvowlzo9FoPHO+d3YK5HOl/HTmvO8d744nuryglIYcCAVuBkfJEUrm7ugpAkYMptNMa4JcyKUgGlRSrBLp7MBoDSh4sbtBlTuseN6eYCOgb+pEtg81xOKOuhLl+TiJHYHNWveWPeAMDMPAVZnPARMLXd8TYuJhmtDFE+MW5TpSLjgjzLPnziiW4JliRhJI32GdqeJbMmTN1W6kKPmw4/00GPcpn9tkdhPmRqPReOZ8aikpAmQwWihUb+i+6/nZvtpbHk6B3Si8MB1KO1KKdEaDWEQMa4gsPjNNHsmJu+kI2XDygRgyRjumeWL1HqsOHE6Z7QBf7YViHLdmJd9BiecYR2oLe+RjLOSOeq4cCmw2YIc6Rd1rSAKHwwOPi8dJjWbc2Y6sYGcKxgidsxgND3NiPp8zR+DNYeVqW9BKkTMonVl8whW+5+ZVz9nVJ+tln9dkdhPmRqPR+AJ42lXWgNGFEOoAGAVECxebgW0pvNhm5lDQCkQUy5J5mAPOaJxS+FLwIUDynFJi9h5KIIbEm8M9YQHVdZALayq8fwtvNby+KBSzYs5t7OlYDUMk1qGvlwIPBWaqWF/s6pDYfIJ330HJnqstbEzm/li4uY68vrhk7AcSghPBdR27jSMXYZ5nrLMMnSHFhLUGKBznld04ICSccXUILiaMqTlXWityzKSUMUZ/lpPZTZgbjUbjC0NEsFYjn7iBKYF5zTgjKA3LGup5M4IzCqQwh8yaCp0VTnPk7nDkNE8cYmHQDp9q4ITbrJS1DmtlB5Lg/aG6e5Gq29cS6p4y9VvcnkX5yNmG87G2smfq3vP+qg6APfqC3cA3V1dcX71gdJrH2ZNT5DCtOGdBaYpoxr7HWk3KgVQExGC0YJRClEKrur+cfnhvzEef7D93YMXvowlzo9FofIF82t7OOVNywerC6jOihcFpUipkHMYo7o8rSwyEEOp5ddFcDAPHZcWvM0kyEiHkKsQ5gB7q/vH9PdzfwbCpftimr6Yh+ggbX8+U35yva0sV50DNa16pZ9AIHKZqSmI8/O5wx35zRdTCtnMcjoGEJ8bApldgYF5WUtJIKfQOprUOvDnbMTqD0Zp8nlL/IU9hFVBb2U/mLAIfzub/XDRhbjQajS+UusMLKRZSAUShTRVrJTCFSCyF1Sc6qxCBeYkcTytr9JzWFeMGrraatw+P+AjWgRRQXR14PtxW4R1HqqoZOM2wv6wDXkbB/QKX1Bb2A+epbOrg14Fqy1kCqPOy8zGDv1v55vLIFCykQNSarzYjKSkSgtGGJWbSnLnYO2LM9K5jP1h6ZwBVAzlSxhlDjJEQMrEUFDD29T0/9Bn/HNanmsFIo9FofME8Vcy57lFhTM0qvjsFUHVSWek6LFUoWOXYb0e0shzWACmz32wxSuE64ZvXPfZc0j0c4e17UKW2q9cI19ewvYC7W3Bb2O1hY2p1/EgdAuuATurPfE0V6Ps7OJyqpafr4Xpn+fb4wN++e8eUPC83G4wdyAokRqw1bIxiu1GQM4NTvNo5xs6ebTfrw0dvNSJwnOtDiNEaUcJpyaSUfu/6lEi9b38uWsXcaDQaXzAFyOUH7dkM1ghGV5EejcJrIR4jpjOkOWKtZbSWw7qSZug0uLHHFOGyh18/1DNiYyDleqbcq2qp+dLBtx56C0VRB8IsvJprCtUAnEp9PV8ODyvIBOOmfu9nl9ccFs/F6LgcLzHWElHk5DnkyKvNiHWOzeBQAlYJRiuMPidqnX95ZxXLEjCmxkhWFCklvE9YZz67YItWMTcajcYXjMDfEZlE9ch21rAf7Dm7WbDOcD1YfAaNcLPbsxsGjE5opcnzjDaam8sN33ytudnDiz083oPK54eAUJOmeguPR1iPQAZRdRgsUV9rIxlGXX8uAIuv582XtqMoRd9ZRtdhjEJpwSjBGMXiPcvqSTmiyDhdPbGFgjpbcCrqUFc5V/NK6e/dA6016Q/cnz/3+lSrmBuNRuMLRgRKLvgUMUrVyrkUUk5YbagbVYUQV3JM2LHnxd7y/jHBornebVhOJ/LoeD95RqPZdVvmxXO0iX/0c6GoQohVfIX6uhtrtbzmOqUN1aZTqGtUSzyfOSfYqWrFOWxAb0B1jhhAl8ypBL7uLb21lJw4TbDpHJuxwyrFHDJW17Gtp+nzEOvAl5LqhJ1TBgpGuw/3JaVU96w/w2CLJsyNRqPxhVJKIWVwTkPIpJLJURg6xbQWfIwkFClE1lDwIfPw9o7Fex7ngqjMVmsmY9n0is3Y02nN29NEKorLjWXX97x6eeD9LVBgcwHzYw20KAq6ta5UTScYDOz3EAOs54CLDXB9Abur+hDRFbjqHNYUNm5HZy2dFrQUDn7FaOH15RZd6mR1SZF5TRht6MzTipQmpsS0hnofciImqZW/1qSUSAmGQX9vev1zWZ9qwtxoNBpfKE+DTUppeqXqIFgpSFFsu8Rh9vgUOM4eoyCUwi/f36MTvLy85PHwyL+ZT2x1wlnHEuAhRlROxBQ4TJnfvA1se9hdwkbB+xOcjnC4g62Ar2FOLKGuVp1W0Lm6gi2cXz30ATYjvNg69sMWp+Dnry/QCIuPLCHgRPH6xQatFSEVJEd8EVRRWGNACvdTwKiV41KwBsbOYa3FhwQpkc6fOQzVVxs+mrN8LjRhbjQajS+Up0AL+Cg+qhRCzKAUWhvCOvOw1KzjU1jYmYFVF5YQENtjppW1CI9TpISFY4TjfOT2EZTU4S91Ft93j3A6wGGtucwnqVGOKdYzaGNBxzp5DedJbkB34D2kBNcbT04L4+4CwYDKWGvYj45YFCBoY1ESeZg8ndEMmw6lhBDBx8QcI31fG+drLFgjdE6jlWIY3O+/WZ8RP2n4S0QuReSfisj/LSL/SkT+yz/WhTUajUbjp/HpYFPOGe8jp8XjV8/iE0UK05pwWnGKhekUGYYNWoT305EYI13XcTxN9Fa4nxbm6cThCH4Cp+CrqwFlIM41Z1lZ2G2rycg8w/upBlpYV8+WQ6nDXxN1derlDtwIZlsr2XmBpDWbbkApxRIVWteJa6chUcgpggg5FbTRCJBywaeA1ZpQFFrrmsNcMiFlrDHfcwD7nPmpFfP/BPzvpZT/RkQc9T43Go1G4zPgabAp58Qa6m4vKJJkYixoJawpUYoixURiZVo8IRVyEvqxZw0PTMFTTifupsC6VnE1DmYPfvVMK4QI1tTwCkwVbsM5wGIDOUNc6tT1XtUp7Ms9KAO2QBdhuIDX+x1f7y8BYUmJwWmsCD6BNZZeEj5l5jVgdEFKIZY6sZ2LIubMYCCliCiNMRolQs4Z/e+4V58Tf29hFpE98F8B/y1AKcVT98QbjUaj8SemlPIh2lA4T2Ofl3m9rxWmVhohs/jMsgSmGMh+5X4OjM6hteJ0nEk5MQ6Ow/GBv3m4ZV0i6xzxvp4VWwVhrZPVy5q42sIaarZyVrW93Q3weKrVsZzgsqvVtO7hsq/RkClDL7AucPUafr7bcnm1o0ghA1qEzhhO64LNEFMkF3DG0VmDFiEVoaQEyqBIxFzYDpaQFEYKWhSQSUkxDM9Dmn9KK/sXwFvgfxWRfy4i/4uIbP5I19VoNBqNH0nOmdUnQqo5zClX8c2loJQCpVCqOmClXDgtgfslEqPguhFBM3vPxnXseyEVz/vbO375/jvKtLIZB+7Wc/XbQSq15SwZHt/Dd29geoQYq9hOB/jVu2q3uadOXW/P6pBCDauQDKdHuD9VId9qxakktAgSNU5rQsp8+3AihursFSMsoWAEOquYVlASyTnhfcAqxcXo6JxjP5q6FlYynVJsPxn2+tz5KcJsgP8C+J9LKf859cHof/jhm0TkvxORfyYi/+zt27c/4eMajUaj8UNKqWtOCB8cr0Ksbesn3wwtQimZGKtwWy1AYV5WDutM8J6H+cBpmXDG8nJzwbgZ6d0G2430Xc/WgNaAge0enIPHpYZaRIF+B91Y7TlPCd5RAyv+8ht4eV3XqEoAMmxsXaeKgPjqDJZUxkmqgRMqEKJnmWeSD/SdIsRSbTitMMcICJvRoIomoeidZjt0jE6jzkYjF5uOl/uBzaZ/NqIMP+2M+dfAr0sp/8f563/K7xHmUso/Af4JwF//9V//+TzOGo1G4wsk5/JBlJ9IOZNLFWN1dsuKPpNyooiAaDSZ744TkqGIISbNtw8zL7YdSjmcdmxs4XY9kELkat/jloXvbsGOtVU9TqD21SP73Xv4LdVERFE9sDXw8C0cTI113O8hGdAK9gL7XU2o+o9u9gzGULTgVG1RhxRJsTCOluOcGfrEIJokwuoLg4PeGFYyRp3b9ErIWdgM5nv347nx9xbmUsq3IvK3IvKflFL+NfBfA//yj3dpjUaj0fj3UaA6XJ3L45qUJORS0Mg5KUnorOB9XSdSkjjOMyorBMVaEj5k5hg4zInd6FCSKSqCEe7nhUJCCoQA87Fab065molkakBFpO4mO+CX5+v7eYDLAutaz6E3HYxX57NqA6+3Pc5pjBnpiFgrKNsjJaF7IcWC6RQU8DmRYmEzGHLKrBmcgc5qfMrnXeS6Dmb0nz++8e/LT32k+O+B/01E/i/gPwP+x59+SY1Go9H4sXw66JVSPicl1a+rMD19XzEONfShM5bjkrEizClDzBjbM2rH7ZLIcWX2K+/nibgGOpXJc8Zn+NlNdfRKAuNQrTeFKsgztYU9Uau+p8pPWXh4rGfLOLjejvUsO8PtuhDXiC0Z2/X4WIe1YizEkElK2PcOQTgtC2vy5JRACs4IzliUUjijSBky1YazUB9S/pxhFH9fftK6VCnl/wT++o90LY1Go9H4/4hSQk6gVanRjaUgCGNXzTieZKnkyGGO+FSI0bMxiW9Pnl473ODoc+YhB0ZWphhYU6FDMZtEDoVu1HSqsBsHtDnxq9/CcoSSasbyw/lzLHBPjXZcgH8D/HyGVwrknLf89mEileqPvXOKrISkCpITK5njNGHEsNn39CJM3nP3cEIJjEPH3bRw0TtGZ8klU4quq2AiaFW9wcXU6jnn8lm5ev0YmvNXo9FoPGM+ej1TB6cArdWHFm4phRgit1PCarDWsoZEtxkZ5ppP7FOhpIg2mqt+4O5xQorUZKlVsUpg9YFcCu+OM6cVHu/g21xb2OcAKeDjzuxyfr08//dDBnWEnMDN8OoCcoQUCttLjVOaogy7zpFyIhuFLgJauH+YWGPi5mLH2HUsPjCHiDoesF2HixFjFZ2xiGj0J73gmPKHFbLn0tpuwtxoNBrPnA92mx+Sks4BFimTC0yLxyiFtY6UMp2z7PuRebcwnTz3pwWlChddj2AQ69hqTckCYljzRFFCyIG7OZEicPa7FurA1/R7rsucv/8IvAF+keAfjXWqO1u46oSb7Q5nOrpO06k6UZ0QIHCaC+NgyDGwcT1aG4yq09bHaeEUCt9c9MQMyxopJbFRQs6anDMxFZR8zFeu5+189uLchLnRaDS+AHKu61AxZ1JMZASrq53lca12XCGvKASlFLvNQPAbMoGvdFcVNsEpeS47w8OSeJhXNIWSM2FemAXCqfpbdxv4uQJ7qJ//VDW/owp2oP6Tn7pOCfW8GQPXo2bXb9jtL7juBzZjz2GeiTnTWct27GubOkMQuBwc+9FBEWKMxJwYrSEjGC2YwRFCJOaCs0IICVEKfS6fqxg/j9Z2E+ZGo9F45uSzoYhIoaDInNelKByXXF3BSkIlw5IiOec6NGaFr91I3AsPRw+SSY+Zuwi5CJ0qvDvN+HXlIcB+gFlXM5HvTnUf+Wc78BZeBSDCZq7OUwN1uvj+fI2Kev6cSp3qvtOJm1HhUFirSDGjCsScESWknNEqk0vGAA/zzNA7lNY8zgu5FLa9Q4BcahvfGo2irpCFlOn19+eb5ZPp9c+ZJsyNRqPxzIkxoxSUUqewla6HztMaKEXoreFhycR1JWZhmieMczgpHFJEK43VhZAFUXWiu7Pw/njkzZtIsWAzPD7C794Aa12JOoYaUHG1h8dDDbW4oYrwW/ieN3WmulDdvqkhFxsL9/2BogtKBXJWdFahlCNHmPLKEgKDdfTOcT9P/OpNZuMURsHFfktnDSHVB48oYAXEWJQSnNEfJrOf2tdPecufO02YG41G45mTqQYjMeXasi2ZVCAk6JxBsmKwKw+nhSVojAZbElNIHE+ekD2nJVRbz+IR0Qy6p2RDcZF5gjDB4QhLqqtIliq0HsiPdVXqqtT1KT/Vga+7T67xqb3tI0wnOO7gKmQUlpQ0S1q5O64YbdgPA0ZrtDZoJSyhsOsHrNH4NdCNAxedIRTgPNxVcgGncKU6npnz+lRtX3N+cOGzb2NDE+ZGo9F49tT2bW1PxxiZfWBaEiIJRQ22yEUz9iMXW4v3K/dTwKkqXt89LmxcB5I4rRFNYlkWFuBmhG8nePNQhXhvqoXmd+v3K+O/pO41z0sVZ7uAy3WNagKuqRadM3BpYJPAl4KPgcdTIpSCtT3Xux0AD9PCtlOc1pXdZsemt8RS6F3Pza5DnXOgs4aSCsPZC1trhTo7oYlUUX4yW9G6TWU3Go1G4x+YUgoisCyRED2Pa4EcUaKJIfHu5LE5shk3hJjIBULIUApzEYokXm62KG14zJELN/D2+MgUPJfdyH3W2PFE38PDAqcIKVZRfhKQHfDzr4AEv55go8AreKVhCHUq2wJf7auYXuygv7FsneF6d8Xbu3cUpTAaQkoMxuGskGLA9ls2vaUoRZoXxo3DWsfqA1e7esastaKzmpwLudR9Zqjta6U4i/LzsehswtxoNBrPjKeIx1wKKdXAChHBfxigKiw5sescOxKHNbLGjFGZNXAerNJM08IahLF3iGg66zDGMCwrh2WmlIRPAV3OqVIL/Aa4oLapj+fr+YWCaYXkq6i8PcJ+BGfBJojH6o0tBmKCwwRJAnEf2E+P+JxQIoQUyCXhSWxdR8yZcdQghbh6lDUMzkJJdBZSTCitGEzd2xYplFRqksb5Pj2X9vWnNGFuNBqNZ8TTPu6HvGWB1VefaOc6rIV1VRjqhPMwdBQpaK1wSqN14XhamX1BGbAWTtMMSuO0waeI09BbQ85wNQ6E1TMtVTBuqOtSTyjgkCHe1XUoS/XM3vdQHBzuqwtYtwGVYfYwByBVIf8b7rnuwPU9vhSKCJed4+AXRlvYOsX9ccE54fV2izEKn+F6dBQEo9SHwa5SwBqFVh8HvZ5L+/pTnk9t32g0Gg1yLmc/7Gq3qZSiCICgpVbDRSl6Z0mlnj0PXT1/TQV65+g7i1BIYWaZZv7t+7ccjg9YKcTg8WRe70a0SmiJWA2jgZG6BmWo2czwMcDijnp+/ECd2H55A52rsZCKuiJ1+1BDJ15eg7E1OnJdMm/nTIozWwMXna25z85yc7lnN2z4q1dbXux6Dj5RcuSi1yhRdEbTO12fUEqNs3RWY4zGaPU9B7TnRKuYG41G4xlR+OhcJdQKWkvd+3VWM/lEiZEkYKRQBAZrzxWlkHJCFdBGCLNlv+l4XSL3y8Iv373jYuh4sdlhjcO5iZNfOc2By1eecgtk+OUBXlHF+JE6gf002LUF/up1jXfcGSgv4PEelgyXA4xbKFIr66JgHAUjwmAHduMGyQpr4GY7cLndIwpyFva9sM0FUYVUhBzTB/G1zzji8ffRhLnRaDSeEU9iXAebqgWnUhBj/ftdb5hInHxk29dYx5QLVhucgdknoipoFPvdiF8ivRtxvmBM4WJzgU+RYwgM2qF6xfDCYso7/BqJwDcF7o51VWrkY5LUXxr4+q/AalgzmBWKhpuXgAbl4O3busOMBVvA+8LLlxu2/ch1P+I6wzgOFBQxR8KasU6jolBEWJfC2EFnFDFnHk+ewWms1c86g/lTmjA3Go3GM+KjH3YVZ60KFMXgCjkVtNX0duSaQsqQSiaGCJIpWSg5ME2Bh4OnlMghFOb1RBLwc+Rv/Hd1qEppohWWEsmppjf1fc1g7jd1bWpY6oOCc3WF6upFbXkfJtj0cBC4uYIVxXrIrHP9HUKBFzuhVwrVWS66DVrg0QdGES5GWFNgvk9sB0vxmfc+sjGKvjPEBFOIXI0KrTUxF5LP9I4vQpybMDcajcYz4mOaVM0aViIY94fPUkspBGvxITKtkeNaiDkxrytzyRgUsWim05Gwek5hxueCU5p/cUxYgRcXDmIiK+ginDxYB5Jgu4USYf8aBqXIJdf9YgUmgTMWCZGoYZ2hUyArGArdruOrbkNCk8hcaM2ri4EkkKNUr2xqO17lzNFnus4iCmwR1pjZaI2ourscY8a5JsyNRqPR+BPzlCb17yPnzLpGYiksPuBjADLLHDnGSPSBo/LcHk48nBZKAGU0KSS+jQkVIGqASFIGqyJTBtNDWaC7AbWC28DxO1iHzG4LrzZ16KvfgMTAYa6t9ssLiCv0W7jZjLzcX+Gsw2ogJjbbkaFzhFzPlYUMOZMwbAZHSgWtFCEWnNX4kOlMQitB6Zoo9SXw/B8tGo1Go/F3eAq2iKWQCyw+cXuKLD6hbcfGaE5x5bfvj5is6XTHYYHTKZGpvtevX+0Yelh8wTphcDUdaiMwbIAjrB5UgKAghWp9eT/DKvBqozF2pM+gBZYjTAH2DnabnhhXSl7AL0Q8msQpRnKK9cwYQYzhcmOwWtN3GiVQqAlanVXkIuQCKaUvRtBaxdxoNBrPlCejkfM6M0p93NmN8Zw2VYQQIz5EDqcZEYVziqIFpzRX44CxHZs+8d37lRAgB5AR7o8HvIfjoRDXwO0RjIAdwQYwI/z2d3D//rwetYN5rlPXXYR3c0LLhB7q15sLw+EYeTPDxa7QDw6VITrLq84i1hGWhFeagYAxhk4pEMgCg9Z0ncEEWHNdD3NGAYWYoOv1v+t2PRuaMDcajcYz5FOjEYAQ0zlJSTBakZ7cR0hMPjH5iDUd6+rJKZGzoohl7DWrTyy5cHMB745QEpQjTAniAsMAdw/w3S1cX8LjXPeXja5nzPf3cJxAGbh8Uc+VQ048PmashhBhf6kwWjOOGb9mNJFdNxLTgs7gRbEeZva7HsmJafZshoGQwEa4HrqaFpULY+fYKkipum8qqGtVBUrK33tAeY40YW40Go1nyJPRCECImZRBVG3rhlRIMZMp+FhQJTGFwHQKaJ3JqbCxUEbNcSrc7Lf41ZNmx8PiOR3rOfJ1D+9XSDPgYOvqWbHScHtbRTGnc2rUXC03ywN0Q0BSnb6e7+q/dXfIzGal7+B632HdyK7vmb0GUWilQAvrHDB9j9Jwvd/WpwSpHttKa0yuLmdGazonH35/JR+jHT+NenyONGFuNBqNZ8iT0Ug65xE/VYlP/40WVp+Yl5XHUNvWcTBIjqw5sXWWojSJBQus1uI2W34xeP4ff6zV8ADuZQ2u2A4w7+DtO3hzV32ye2rlfKC6fW1W8Gutni93sHHwqxV2Ai+uheVUOK1g8oofTizpAh9XROBivGQcOh6mE5Iju9FhtaKIQnIhlsKgNaEUTmtkdAVrzHng62NIRRXj2uJ/bh7ZTzRhbjQajWfIk9FIAZCPoiycU5W0preF+2OECPtxpIuJjOXh4RGfM1/vR3pb+Fd/+x1rCAxGo3TPf/gNHJeECgn6xPEucdK18nW6GovMVPcuC3xj4DbCtx6u38KwhyT1Gi9GOHq4f1u4fgljhuMCcwK/eJztCSXyOM1khLJE1EXPpncgBZULojVLyDibQTRGFXzIKJVJqdCdV6TSOZu53oMaR/kcacLcaDQaz5APRiNnn+h8PlPWugp09Y7W9NZhjEYErFWsPtB1PTF4dNfx9TiwzJl308zhdEILvBj2aB2Yp3uCF+aldpT1VCeuB2r7OlLFTym4VtU/u+/h5qK2vEtXTUf6qa5POSUUC84U9lYTJXHRQ4qOXALLPLPbKi56zdAZRDTo+rtpVVv0WoG1lpQSWimUFFLt43/wEM85Qwajy7NsZzdhbjQajWfIk9FIQki5UHLBmCpCORe0EowWOquRmAHFHGrc47bTrFrwIZKSRrRw1Y+sq4ecOC4raZ2JS8AhDLvzUa+CzoIP5ylrA1OsFXEHXOyrqGgNL7ZVsB9PkCOkAksqvNiPXIji5fVrOqUw2tI7g8hASpmXFx2pKNY1cLGzrGtgjol970gpIyggo88hHlorljViTEFE1YcSBH02YXmO7ewmzI1Go/FMERGM0WitSCmT8seUJXlywjKKhzkgOdJ1luAjc84cHgPDqIhnB7FbwnGsvQAAHT9JREFUv7DMJ96ElY2ynEIgZKAUXg2gx57jtJA0jLdwP8FmgBcWfv2mRkEKNdpxCvC1U5RcSKrweITrKxiHrq5ibXrCfGJztcUajTKCU3Wgy2rNzlliiuSc0UYY0bXyFVhCpDMG6xRPkmu0oOTvRj1WkX5+NGFuNBqNZ86TQD/9D/3JXEQp6Pue65R5e5xYjplxULwYLHdHxfuHme0wAJbb2+/49duJ4wzDJrEbFYUa1zi80HRKE11H51fkEl4ruAvgH+Da1lWlRBXgzQ7ePGSUAVbYdbXjfrxfYTS8nSfm7RbX92xGjRVBGctuMPTW0FmNTVVsrbF0puBjHXLTgFG1On7KpDZakUv1Cs+ASlWc9TP1zW7C3Gg0Gl8YMVZRVqq2dpVx7LpM7qGzjrvjxMtNz6/mAw+nI0ZZDuvEIcF/8HXP4j13h8zjHcwr5JT42YsV0YZO6vlx6uFVD2UHawGtoDPQO9gMHUtcq4PYWAMtHqa6PpVFEO1YQyThSTHiesvGnleigJxBKU0u1IhKrbHIh2q45HrWrM4JWzkX5iWjdX1vSgm/FrbD82tjQxPmRqPR+CL41AUspPyhvR1TJqdELNWQw+hCjBkfC5uu4zTNrDmhC1xsQCuL6Q3p4YgZamv6/QSn30T+4nXEZxhHsLlOZy8R4gROwHVVWO8PKxd9XWHa9D2/e3diGAEFG9cxDoZ936GLYegMg61SNC+RcWdQkjG6tq9jqv7XWkn9o9VZoD9WwykVnBWgtq+1UmhVqrf2MxzNbsLcaDQaz5xPXcDk3N+dlkjnNIhQBNaQcKZWmM4q3jx4BiOkrmdeVi4vr+D4wLe3B8jgU/XB7odzhOMJ3t3Dz19o9uPIv35zAAErZ8ORYw28uNzUAbGEcL0ZWVPGdMLoOrITeucYesvNsENrjUbVqbJS6J3GOUNMhYKghLPICiKKnDOl8HcGujK1Uv4hzzXU4nk24BuNRqPxgU9dwJ52eVPJxJgQamt76AxaaSiFbe/ojGIKmU2nsRq2VrPb7OlNNRR5+w6muzpNnYDBQsyw6EI/Dnx9Iex3YDeK3tYq+v4NfPcdxABryqw+UIrClcLiF6yPDEq47HsO6wzZUwSszlhrMFoRQvzgf50zOFsr5Jwzijro9cMVKMXfFeGn9z9HWsXcaDQaz5yn2eOnqllpzSCCjwlVMqJgY219T0yEBDdbh9GBsR8x9v9t725jJM2ug47/z733eauqfpvdtXezu8iOsIIjC7+wCg5GFji8OMZyJASSI0D5EOEvQdgoUhQLgZSPSCiEDwhpZQckiAwiCRBZUYLl2BLwwWHXsWGdjRPjOH7b9e6sd6bfqup57r2HD/epnp7xmp2e7tmp6jk/qdVd1dXdz5mqZ07d+9x7jsM5kOuHHEzguZfK9qf2gTL6PTyGkKHy4AblpeM5uJbtKnD15QPEw5UrQghK40sHKpcgpowOQ6nYrbA9bdnutjk8OuI4wcPbHUkBdXR1RRUcMeUy8le56Tq5qLxiUgYIwbHoM5Bxroysc2ZjezOfOzGLiAeeAr6lqu8//yEZY4w5C4ExoZXEJZTCGu04Cq2843g5ELPiECa1I7gp+IEmeLa6bTRlVJSYdsEd8fz1gdhD38PRdWg8PPI4SBD65THz40TdwnRW4496nAo7U6VxELynm9TsTGaIC3zr6gvshEzjhEU/Z1IHHu4aplsdD+9OT7ZC5azUvtTNDh503Mp1egvUK3HO0dZlZmA1Uq5rh7uPV2V/GHgW2L6A32WMMeaMnBNyLKua4UZziSqUIhzOCapCHWTsX5xRFbZqx+EwcHS44NriiNhHprMd3rF3hae/+if84dcSiwFmFcxj6So1a5TQOK5lOLoGbdWzVEhkdqYVy8XA1ZcTjz2iBF/hxLE7neGdZ2u6xQPbUyofeGBnwmI5gJTGGzEmgji6aU3W8gbCudtfVe2c29gR8q3OFYWIPAb8DeBjF3M4xhhjzkpEqHxZ9KWqOBHaVQEOLVXB6koQhD5GUswMQ8939g/5+rev89Xvvoz2Qt1OiDHy/HzBg7t7vPlPNzz6KEz24MoVUA/P7ysHy8jDew27W6WyVwIenMJu16I1RCnXgjNwMPQMomxPana6CW3TIU7o+yVtKwx9JKVEQKnDWCRkVRhkLBKy7COH84HlctjYBV1ncd4R8y8BPwdsXcCxGGOMuUPeO5QbK7NXK5idgz4qKPQxIwiHxwteOO5Ji0gmk5fCohEe8DCvW77x3PNlOtg1TJoBqkzuORnK5VhWbU8mUx72S7ZmUxZDREl0AnkCV4/n7M6mNAJ1FVhmJQSlrgKLec93jyNv2t6hqiqcKCF46lDePHgvJ0m5FEopW6VizqQ+09Zs7DT17bjjyETk/cALqvr0qzzuQyLylIg89eKLL97pnzPGGPP/UWpny8kK5rKHtxTf6PuBa8c9837AOcf+cs7x4TFHy8yyh93pNlUWvn04Z7vreGRviiNyOBzQhcxeU9EvSkKeto7trSk7sz2mdUOMmTgkmiogqiQX2N2C129P8SIMqjTieHh7i64NxDjgXGJaQ+UDlVea4EoZ0VNJWURuKpQiIogri9RivNyj5vOMmN8FfEBE3kdpy7ktIv9eVf/u6Qep6pPAkwBPPPHEZhYuNcaYNXe6wIieat4w7zM4h3eQNXE077m2Hwmhpq0d+0fHHA09lQuEYcFiGGh9xc50Rn/9gHnKpUvVdECBNji6qsZLYi6JK7MJznm2JhMO5549ESbTPR6czAjOcXB8xKADj+zOaLuudMKiYqf2VFVV9lpT3lSspuFP4uHGyHi1CGy16voyu+MRs6p+VFUfU9U3AB8EfufWpGyMMebuWxUYUcZpbCBlGIaEdyDO0VSe4DyJTNuMNaerQFPX5Jx4+XAfV0FOyqTtaJua7WmLE0fUnlkTCAIpRzRHgkDjKh68ssekrWl9ReWErdk2W1XLVjtl0jQ8/vDreXz3AZrKn5Tt3GoCs1mHcmMPdowJtCxUK4vVQFTHKXkdp+Vlo/cn3y7bx2yMMRtuldxOthOp0g+RxZCogx97NUMInip6Htje4jvX5qR+ybRr0Nhz2CdkSEy2OyZNi2alDS3TbuBwuSCIcPX6NbogPLy9TQhCzInGZ+q2Ynt7ys6kJkaoGkfOZUHXTuMJsxmzrqNranLK42profKrwy2j/cqXhV4n8aAMUQm+NOkoj9vc/cm360ISs6p+FvjsRfwuY4wxZ7MaKUO5vtxHJY/bjZKWmtHioPKlCMiUijc+5Hj++iHH8yWTSeAtOw8RfcCpsFgsSapElJ2u4YFZx/Gy59r+dTQIKpHd6Q4OWODZC+BDg9Se/UVm1gbausX7iEpguw10TUVVeXIoU9ECY6nNUnoTgeWQSVq2fYmU7lBNVfZpq+rG70++XTZiNsaYDbdKXCLCMCSQsSiHQFTwHirn8N7RhZpBEqqBH3igYrmMXD2ao07YCo4Xjxa8fHRIPyT61LOMntY3XD9esLU1Y69tGCL8yUsv4fFcmbbodMZyMSdrZrupyBoRSWx3NXWoaOsKL2VqPWvGiZBdBgLBCykpuSwcP2lOkbPiVBHnCN7d1LTisrPEbIwxG845KdeYNdMnxY0j0bp2hKyAkrLSekfXBJbLgUVMHC8UF4SttsY5x3yxYLHIpQNUFTg8PuBgWHB1f5+kUIeaQcrK6fkiQc7UoaUKsVQec9C1wkM7EypXszutCc4Ry5CeNghDKivFgyslN8s6LsV5R9YbI3/nKFPwItxvq4YtMRtjzIZTVeIwcLQcWPSRuvJM2gbnPDH2HM2X4ByimYlUiPdMQkARFn0ieqXPsH800IRAXTcsY2SWGxZ9z3GE181Kec2+H1j4QE6ZUE1wAi/N5zSuYqttiQlUqlJ/m3JtOA5pHNVD8A68jNPq5bpx35f62KjeNC2vqqA6dmK+f1hiNsaYDZZz5ngR6aPifKBrPYfziMpA4yNXDwacg72uYUiJqwcD262A+LI1SWBIiaNFpB8GqrpmPmQ0Kr7t2IqJvXHL1MG4fzj1C64eHbHXOOaNI/cZ39TElAjZcbzoyQk0ZyZZCb5MRw8pIyqld/KYfEXKtfCsq3gUkbIYzMuN799PLDEbY8yGOb1neVXS0ntHGvsYt5UQ+4GDfsD5su94iJnSKWIYp7BLIo3DwDBWBGsqx8F8SeU8eIWFcJwSTeWZ50RcRo6ODjgSjywTTByLozmhadG4YGi22GtqxFccLxYEl+maTMqOxgm1lBXiOZeV1qtYwjiN7SSTspJSxjuhrTwhuO/bvOKyssRsjDEbZLVnebU9KgFDLkUpxAmalIxDfIWSCKEp3x+3JkU8wxDZa6DvMweLCKJMmkCKgXi4wNdC7BNdVdN6ofEtfVwSe8dRitSS2d3bJdSB5bDAxZ7vpsyjTU2mZblYUHnHrKsILsC4KK2uAykqWUvt7tX+5OAdHshZCDAWEvn+3aQuO0vMxhizQW7ds+xFUE2kpNR1hcsJEQXNBJ/RFKnq+mQBVU6RyitDzGX6WKAWjzpBXcWkDTiUjMc5ZRYqDofSi/mRvRlNEI6GjM89k+AJeLp2Sj8sCD7QLyJNU9F1gboKZKCtfCkgAgTHyTXjW9s5rqqV3e8sMRtjzAY5vTgKIASHc54+ZkLOYzERoakrmiC8vMi4lBAJDMNAVGESPEMGFejqimVUPMrOpCLGjpQzD9aBw3nisJ+zNZ0yP44cDANXZh176tlfzBHv2K136OoKN23wEkiuxzmP8zCfL+nahpwzlXd4J6j4UtP7Ph0N3w5LzMYYs0FO71mGUjt6UnuCKFkzopmuctSVB/V4N3DUDwxDj3elYYQgVE7oo1B5j2rieDmQshJcpu8jC+epK4cLjpQy3aymHgTvKhYxUueEw+McVHXNpA0sBgguU9ctqOPaMtPWiZxLr+RbR8jmlVliNsaYDbLaswwlOasq3ns6709WLw/j6ukQBKViKn68ZgvzZUJRnPc4eq4dDUjZNEwcIkMWnPc0dY0TuCLbJDIeJXtHvxzQPCAacQK1q+hqNza4ULqmYdKUutghZWLOTL1QBW8J+TZZYjbGmA1S2juWa82rjktVuFEtSymlN8cHUweHQ0lj8Y5J7crKZ80oQtN4yEJynv35Aoewuz0l5syQhLZxZduSc1zfX0KAjoZu0nF8dIw6T/CelD04pesaJrVH8XTTsVqXc8SkBI8l59tgidkYYzaMjNW3bnX6vhgji8VQqm7lTNdWhBBQLQu/4mKgCgHvHPvLnpyErvYMMXO8jMzaiq7xZK1YLhZMgxCdEpJQTWpyhtxN8DmRVfF+gJwRbck50zUlvThKK0eR8sbBFni9OkvMxhiz4VJK9H0iAR5wTjlYlBFqCIFl3/Py4cDerNyugmPhlDxEri16SMJ00lBVjpf3j4ip59pRZNrUkCPLnGmk5fVbU+YZDvbn4IVJcHTTCQHFe0fWzLSpQG5Mt0+bUt0rZUD1vt4GdbssMRtjzAZLKXE4T3gP3ntSSnz3YDkW52gAqKuKrAPzxcBsWrYuxagMOUGGLI7jZYQcWSwTKpmuqciqHC0ju5Oa4Dw+CI04KiccL3raxiM50TSBrUmL6NhbOZdGFW3weO9PqnwBNqV9GywxG2PMBuv7G0kZymdVyKcSn4jQ1hXLvmeIGc1KFeDFgzKSDV6ZL3uO5j3OJ5wEJm1LU5V+jN456uARgeNe8U7o6nrs9Vw6Qg1RqbzQVIGdJpByedOwWpB2Uicbm9J+NfdPHy1jjLmEEjeS8koTPMtlvOm+GCOOMqJVoI+w1QUqgf3FgOBpqoCTirprmTaermnoGs9hX5pjiHNMawgCaEQ1Mmt8qdqlGUVPCol4x0nrCYGTvctyH3aLOisbMRtjzAbzMNbKvpGcqyAsIgzDgPOevh9YRmWn8zjnGIbEMDamSM5RO8WJsn94RJ+UK05ZVIIqqJRymd45HLBISvCB1+01CGWbVMogKFWocKIs+0Rd+bKXWm6+prxaSW6+P0vMxhizweraczhPQDq5xiwSeGjLcTgfOJgvSDHTNp4hCdIPZEBEOVpEKhGkEl466EGFnUmDczX788SknpMGYWfWsNNV4D2aEnXtmHUtQ8qkpIhkvEgptykOEXBSprhv3XOtaqU3X40lZmOM2WDee2ZdudacUsIDXedJScApk7a0hcg5s7+IdEHpmoraew414jxoUra7gJvsErwjxUivieUisj2bMG0rsvNUApOuQVxpxShJUDJVCDgphU68Y2wnKa+459oqf706S8zGGLPhvPd03c3XmY8XpQ+zc56clSxCEzxKLoukxbE7qUDhhT5Te8ekqxhiJGdhFmqWCt5JmbLOyjJlVJVpXXo5V0HGbVAJ70pShrJn+eT68vfZc22+P0vMxhhzCWVdTSsLzkGOpa625vK5rQRwxAwPzjLzZaKPCafQ1nXpUNUFUGEelWkjgCenTNSyA6quAt4JyyHjvZwUEgE5WY1tzs4SszHGXAKqelKSUyjtFedDWSHtnCN4WC4jdRAcEGo/7ilWat8yH+ZIyoTgGWIiiaMNZUtUykofI10VmExqci5brlQU7xzT1pWFYlgv5YtgidkYYzacqhLTjT7Nq8YWLiopleQsqjjv6JqAczCf9yxTJjiog2e3q4iaOVyUxV3BeargiAnatiLlTNtUqCrBOZx3J/uSzcWyxGyMMRsu5xtJGcZGF8EzE4gxM6gSvGPWlkR6MI+A0tQl0R71iSY4tuqGrs7k8ffGGBk0E+NAM9bZzhmqSmzL011kidkYYzac8r0lLkVK+8ZJXd10/3zeU3nB+XDyMz5lUs70Q0IEhqh4B94HtnziaJlKAZFculWJOLuGfBdZYjbGmA0njIU7bqOQRwKcv7k3sneOxZCpq1J+ExJDTASnOOfZmwVEHHm1D9lZreu7yRKzMcZsOOfkVQt5nCwOy5khZkIVcK5MbaecbmrPCOOKbpSqcjfqcI+/R62m5l1lV+6NMWbDlUIecmPkzI3a1HBjcZgCTR3ICItlJOdMSomYYNJUCMq8T6iWxyWE5aDknG/6W5aX7y5LzMYYcwmUQh5lpbT37qap5tOLw7z3bE8q2kqIQ2lssd16mrpUCKuDo6rKZGpwDhElxhuJ2Wpd3302lW2MMZfcrYvDvPdMJ75sffLuZESdxm1Wq+nqEFxp36glMVut69eGjZiNMeaSW01xn3Z65LuaCl91qlpNhTvnSg1sXnmK3Nwdd5yYReRxEfmMiDwrIl8SkQ9f5IEZY4y5GM6NLRzH5Lwa+Z7e8iQiNE3Ajd2hRErjC9Vy/ytNkZu74zxT2RH4WVX9vIhsAU+LyKdU9fcv6NiMMcZcgNvt8uSco61LUZKcMw6oa3eyetu8Nu44Mavqc8Bz49cHIvIs8ChgidkYY9bM7XZ5cs5R15aI76UL+dcXkTcAbwc+9wrf+5CIPCUiT7344osX8eeMMcaYS+vciVlEZsCvAR9R1f1bv6+qT6rqE6r6xEMPPXTeP2eMMcZcaudKzCJSUZLyr6jqr1/MIRljjDH3r/Osyhbg48CzqvqLF3dIxhhjzP3rPCPmdwF/D3iPiHxh/HjfBR2XMcYYc186z6rs/wFWmc0YY4y5SLYm3hhjjFkjlpiNMcaYNWKJ2RhjjFkjlpiNMcaYNWKJ2RhjjFkjlpiNMcaYNWKJ2RhjjFkjlpiNMcaYNWKJ2RhjjFkjlpiNMcaYNWKJ2RhjjFkjlpiNMcaYNWKJ2RhjjFkjlpiNMcaYNWKJ2RhjjFkjlpiNMcaYNWKJ2RhjjFkjlpiNMcaYNWKJ2RhjjFkjlpiNMcaYNWKJ2RhjjFkjlpiNMcaYNWKJ2RhjjFkjlpiNMcaYNWKJ2RhjjFkjlpiNMcaYNWKJ2RhjjFkjlpiNMcaYNWKJ2RhjjFkjlpiNMcaYNXKuxCwi7xWRL4vIV0Tk5y/qoIwxxpj71R0nZhHxwL8Cfhz4YeAnReSHL+rAjDHGmPvReUbMPwJ8RVW/qqo98B+An7iYwzLGGGPuT+dJzI8C3zh1+5vjfcYYY4y5Q+EcPyuvcJ9+z4NEPgR8aLy5FJFnzvE318GDwNV7fRAXwOJYH5chBrgccVyGGMDiWCc/dNYfOE9i/ibw+KnbjwHfvvVBqvok8CSAiDylqk+c42/ec5chBrA41slliAEuRxyXIQawONaJiDx11p85z1T2/wLeJCJvFJEa+CDwG+f4fcYYY8x9745HzKoaReQfAL8NeOCXVfVLF3ZkxhhjzH3oPFPZqOpvAr95hh958jx/b01chhjA4lgnlyEGuBxxXIYYwOJYJ2eOQVS/Z72WMcYYY+4RK8lpjDHGrJHXJDFvaulOEfllEXnh9BYvEbkiIp8SkT8aP+/dy2N8NSLyuIh8RkSeFZEviciHx/s3LY5WRH5XRL44xvEL4/1vFJHPjXH8x3Eh4loTES8ivycinxxvb2IMXxOR/yMiX1itOt201xSAiOyKyK+KyB+M58iPblocIvJD4/Ow+tgXkY9sYBz/aDy3nxGRT4zn/CaeGx8eY/iSiHxkvO9Mz8VdT8wbXrrz3wLvveW+nwc+rapvAj493l5nEfhZVX0z8E7gZ8Z//02LYwm8R1XfCrwNeK+IvBP4Z8C/GON4Gfjpe3iMt+vDwLOnbm9iDAB/WVXfdmo7y6a9pgD+JfBbqvpngLdSnpeNikNVvzw+D28D/hxwDPxnNigOEXkU+IfAE6r6FsqC4g+yYeeGiLwF+PuUyphvBd4vIm/irM+Fqt7VD+BHgd8+dfujwEfv9t+9wON/A/DMqdtfBh4Zv34E+PK9PsYzxvNfgb+6yXEAE+DzwJ+nFB8I4/03vdbW8YOy3//TwHuAT1IK9WxUDONxfg148Jb7Nuo1BWwDf8y41mZT47jl2P8a8D83LQ5uVJK8QlmU/Engr2/auQH8beBjp27/E+DnzvpcvBZT2ZetdOfrVfU5gPHz6+7x8dw2EXkD8Hbgc2xgHOMU8BeAF4BPAf8XuKaqcXzIJry2folyoubx9gNsXgxQqvz9NxF5eqzuB5v3mvpB4EXg34yXFj4mIlM2L47TPgh8Yvx6Y+JQ1W8B/xz4OvAccB14ms07N54B3i0iD4jIBHgfpRDXmZ6L1yIx31bpTnN3icgM+DXgI6q6f6+P506oatIyXfcYZaroza/0sNf2qG6fiLwfeEFVnz599ys8dG1jOOVdqvoOyiWqnxGRd9/rA7oDAXgH8K9V9e3AEWs83ftqxuuvHwD+070+lrMar7n+BPBG4AeAKeW1dau1PjdU9VnK9PungN8Cvki5nHgmr0Vivq3SnRvkOyLyCMD4+YV7fDyvSkQqSlL+FVX99fHujYtjRVWvAZ+lXDPfFZHVfvx1f229C/iAiHyN0o3tPZQR9CbFAICqfnv8/ALleuaPsHmvqW8C31TVz423f5WSqDctjpUfBz6vqt8Zb29SHH8F+GNVfVFVB+DXgb/AZp4bH1fVd6jqu4HvAn/EGZ+L1yIxX7bSnb8B/NT49U9RrtmuLRER4OPAs6r6i6e+tWlxPCQiu+PXHeVEfhb4DPC3xoetdRyq+lFVfUxV30A5D35HVf8OGxQDgIhMRWRr9TXluuYzbNhrSlWfB74hIqsmAz8G/D4bFscpP8mNaWzYrDi+DrxTRCbj/1mr52Kjzg0AEXnd+PlPAX+T8pyc7bl4jS6Ivw/4Q8o1wX98ry/Qn+G4P0G53jFQ3l3/NOWa4Kcp74I+DVy518f5KjH8Rcr0z/8GvjB+vG8D4/izwO+NcTwD/NPx/h8Efhf4CmUKr7nXx3qb8fwl4JObGMN4vF8cP760Oqc37TU1HvPbgKfG19V/AfY2NI4J8BKwc+q+jYoD+AXgD8bz+98BzaadG2Mc/53ypuKLwI/dyXNhlb+MMcaYNWKVv4wxxpg1YonZGGOMWSOWmI0xxpg1YonZGGOMWSOWmI0xxpg1YonZGGOMWSOWmI0xxpg1YonZGGOMWSP/DyU+9p3/myyMAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(2, sharex=True, sharey=True, figsize = (8, 8))\n", + "axes[0].imshow(posterior, cmap='Blues', extent=extent, aspect=4)\n", + "axes[1].scatter(trace['mu'], trace['sigma'], alpha=0.01)\n", + "plt.xlim(0, mm.max())\n", + "plt.ylim(0, ss.max())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 1.7 Conclusions\n", + "\n", + "- Posterior is proportional to likelihood multiplied with prior.\n", + "- We 'showed' (with plots) that samples obtained with `pymc3` are from this distribution.\n", + "- `pymc3` can be used to approximate any posterior, even if we can not validate this with plots or math." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 2 Intermezzo: Logistic regression \n", + "\n", + "Let's do a Baysian Logistic regression. What is the chance I'll make \\$50k?\n", + "\n", + "First we load and preprocess some data. We use **age, education and working hours** as features $X$ and we try to predict:\n", + "\n", + "$$ y = \\begin{cases}\n", + " 1, & \\text{if income > \\$50K} \\\\\n", + " 0, & \\text{otherwise}\n", + " \\end{cases}$$" + ] + }, + { + "cell_type": "code", + "execution_count": 259, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
ageeduchoursmore_than_50kage_squared
039134001521
150131302500
23894001444
35374002809
537144001369
\n", + "
" + ], + "text/plain": [ + " age educ hours more_than_50k age_squared\n", + "0 39 13 40 0 1521\n", + "1 50 13 13 0 2500\n", + "2 38 9 40 0 1444\n", + "3 53 7 40 0 2809\n", + "5 37 14 40 0 1369" + ] + }, + "execution_count": 259, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data = pd.read_csv(\"https://archive.ics.uci.edu/ml/machine-learning-databases/adult/adult.data\", header=None, names=['age', 'workclass', 'fnlwgt',\n", + " 'education-categorical', 'educ',\n", + " 'marital-status', 'occupation',\n", + " 'relationship', 'race', 'sex',\n", + " 'captial-gain', 'capital-loss',\n", + " 'hours', 'native-country',\n", + " 'income'])\n", + "data = data[data['native-country'] == ' United-States']\n", + "data = data[~pd.isnull(data['income'])]\n", + "data = data.assign(more_than_50k=(data['income'] == ' >50K') * 1)\n", + "education_map = dict(zip(list(map(lambda x: x.strip(), data['education-categorical'].unique())), data['educ'].unique()))\n", + "data = data[['age', 'educ', 'hours', 'more_than_50k']]\n", + "data = data.assign(age_squared=data['age']**2)\n", + "\n", + "data.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Make a correlation table for the features and the labels" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(16, 8))\n", + "corr = data.corr()\n", + "mask = np.zeros_like(corr, dtype=np.bool)\n", + "# indices for upper triangle of matrix\n", + "idx = np.triu_indices_from(corr)\n", + "mask[idx] = True\n", + "sns.heatmap(corr, mask=mask, vmax=.3, cmap=sns.color_palette('Reds'))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 2.1 Model\n", + "Now we need to think of a model that can explain this data. It's often easiest to start with the labels. The labels are $y \\in {0, 1}$. \n", + "\n", + "## Exercise\n", + "* What is a distribution that can generate these labels?\n", + "* What is/ are the parameter(s) of this distribution?" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exercise answers\n", + "\n", + "A Bernoulli distribution represents binary outxomes. The Bernoulli has a parameter $p$, where \n", + "\n", + "$p = P(x=1)$\n", + "\n", + "* What is the formulation of our model?\n", + "\n", + "Hint: we need a link function $\\frac{1}{1 + e^{-z}}$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "$$ y \\sim Bernoulli(p) $$\n", + "$$ p = \\frac{1}{1 + e^{-z}} $$\n", + "$$ z = \\beta X $$\n", + "\n", + "* Now we need to set $P(\\theta)$ e.g. priors on $\\beta$." + ] + }, + { + "cell_type": "code", + "execution_count": 237, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/opt/miniconda3/lib/python3.7/site-packages/sklearn/utils/validation.py:595: DataConversionWarning: Data with input dtype int64 was converted to float64 by MinMaxScaler.\n", + " warnings.warn(msg, DataConversionWarning)\n" + ] + } + ], + "source": [ + "n = 2000\n", + "x = data[['age', 'educ', 'hours', 'age_squared']].values[:n]\n", + "y = data['more_than_50k'].values[:n]\n", + "\n", + "scaler = preprocessing.MinMaxScaler()\n", + "scaled_x = scaler.fit_transform(x)\n", + "\n", + "# add one for intercept\n", + "scaled_x = np.hstack((np.ones(x.shape[0])[:, None], scaled_x))\n", + "shared_x = shared(scaled_x) # This make it possible to interact date with the Theano computation graph" + ] + }, + { + "cell_type": "code", + "execution_count": 238, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.0" + ] + }, + "execution_count": 238, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "shared_x.get_value().max()" + ] + }, + { + "cell_type": "code", + "execution_count": 239, + "metadata": {}, + "outputs": [], + "source": [ + "with pm.Model() as model:\n", + " # 3 features and an intercept is 4 dimensions\n", + " beta = pm.Normal('beta', mu=0, sd=15, shape=5)\n", + " observed = pm.Bernoulli('observed', p=pm.math.invlogit(pm.math.dot(beta, shared_x.T)), observed=y)\n", + " " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 2.3 Have we got an uninformative prior?\n", + "Below we sample predictions from our posterior. We are uninformative if $P(>50K) \\sim 0.5$" + ] + }, + { + "cell_type": "code", + "execution_count": 240, + "metadata": {}, + "outputs": [], + "source": [ + "with model:\n", + " prior_pc = pm.sample_prior_predictive()" + ] + }, + { + "cell_type": "code", + "execution_count": 241, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/opt/miniconda3/lib/python3.7/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", + " return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 241, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "sns.distplot(prior_pc['observed'].mean(0))" + ] + }, + { + "cell_type": "code", + "execution_count": 242, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Auto-assigning NUTS sampler...\n", + "Initializing NUTS using jitter+adapt_diag...\n", + "Multiprocess sampling (4 chains in 4 jobs)\n", + "NUTS: [beta]\n", + "Sampling 4 chains: 100%|██████████| 4000/4000 [00:22<00:00, 179.48draws/s]\n" + ] + } + ], + "source": [ + "with model:\n", + " trace = pm.sample()" + ] + }, + { + "cell_type": "code", + "execution_count": 243, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/opt/miniconda3/lib/python3.7/site-packages/matplotlib/axes/_base.py:3455: MatplotlibDeprecationWarning: \n", + "The `ymin` argument was deprecated in Matplotlib 3.0 and will be removed in 3.2. Use `bottom` instead.\n", + " alternative='`bottom`', obj_type='argument')\n" + ] + }, + { + "data": { + "text/plain": [ + "array([[,\n", + " ]],\n", + " dtype=object)" + ] + }, + "execution_count": 243, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "pm.traceplot(trace)" + ] + }, + { + "cell_type": "code", + "execution_count": 244, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([,\n", + " ,\n", + " ,\n", + " ,\n", + " ],\n", + " dtype=object)" + ] + }, + "execution_count": 244, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "pm.plot_posterior(trace)" + ] + }, + { + "cell_type": "code", + "execution_count": 247, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 247, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "trace_age = trace['beta'][:, 1]\n", + "trace_education = trace['beta'][:, 2]\n", + "trace_hours = trace['beta'][:, 3]\n", + "trace_age_squared = trace['beta'][:, 4]\n", + "sns.distplot(trace_age_squared, label='age^2')\n", + "sns.distplot(trace_age, label='age')\n", + "plt.legend()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 2.4 Examine the the joint distribution of Betas" + ] + }, + { + "cell_type": "code", + "execution_count": 246, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(336.9714285714286, 0.5, 'beta_hours')" + ] + }, + "execution_count": 246, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "sns.jointplot(trace_age, trace_hours, kind='kde')\n", + "plt.xlabel(\"beta_age\")\n", + "plt.ylabel(\"beta_hours\")\n", + "\n", + "# and so forth" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 2.3 Posterior Predictive Check\n", + "With the posterior predictive check we sample predicitons for our inferred model with the posterior distribution for $\\theta$.\n", + "Below we make a plot of our probability of making more than 50K. $P(>50K| m)$. Note that this is the probability given our inferred model." + ] + }, + { + "cell_type": "code", + "execution_count": 248, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 1000/1000 [00:00<00:00, 1209.03it/s]\n" + ] + }, + { + "data": { + "text/plain": [ + "(1000, 2000)" + ] + }, + "execution_count": 248, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "with model:\n", + " ppc = pm.sample_ppc(trace, samples=1000)['observed']\n", + "ppc.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 249, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.251, 3, 'Average P(>50K)')" + ] + }, + "execution_count": 249, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.title('Overall P(>50K)')\n", + "sns.distplot(ppc.mean(1))\n", + "plt.vlines(y.sum() / y.shape[0], 0, 35)\n", + "plt.annotate('Average P(>50K)', (y.sum() / y.shape[0] + 0.002, 3))" + ] + }, + { + "cell_type": "code", + "execution_count": 250, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[1. , 0.04109589, 0.26666667, 0.39795918, 0.01421073],\n", + " [1. , 0.04109589, 0.26666667, 0.12244898, 0.01421073],\n", + " [1. , 0.04109589, 0.26666667, 0.39795918, 0.01421073],\n", + " ...,\n", + " [1. , 0.04109589, 0.26666667, 0.29591837, 0.01421073],\n", + " [1. , 0.04109589, 0.26666667, 0.39795918, 0.01421073],\n", + " [1. , 0.04109589, 0.26666667, 0.47959184, 0.01421073]])" + ] + }, + "execution_count": 250, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "def prepare_shared_x(col_idx, new_value):\n", + " \"\"\"\n", + " :param col_idx: (int) 0 = age, 1 = education, 2 = hours\n", + " :param new_value: (flt) Replace the column values with this new value.\n", + " \"\"\"\n", + " shared_x.set_value(scaled_x)\n", + " feat = np.array(x)\n", + " feat[:, col_idx] = new_value\n", + " if col_idx == 0: # age is also squared\n", + " feat[:, -1] = new_value**2\n", + " feat[:, 1] = 5\n", + " feat = scaler.transform(feat)\n", + " feat = np.hstack((np.ones(feat.shape[0])[:, None], feat))\n", + " shared_x.set_value(feat)\n", + " \n", + "prepare_shared_x(0, 20)\n", + "shared_x.get_value()" + ] + }, + { + "cell_type": "code", + "execution_count": 257, + "metadata": {}, + "outputs": [], + "source": [ + "quants = []\n", + "age = np.arange(15, 80, step=5)\n", + "with model:\n", + " for a in age:\n", + " prepare_shared_x(0, a)\n", + " ppc = pm.sample_ppc(trace, samples=100, progressbar=False)['observed']\n", + " quants.append(np.quantile(ppc.mean(1), [0.05, 0.5, 0.95]))\n", + "quants = np.stack(quants)" + ] + }, + { + "cell_type": "code", + "execution_count": 258, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 258, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(age, quants[:, 1])\n", + "plt.ylabel('P(>50k)')\n", + "plt.xlabel('age')\n", + "plt.fill_between(age, quants[:, 0], quants[:, 2], alpha=0.5)" + ] + }, + { + "cell_type": "code", + "execution_count": 260, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{'Bachelors': 13,\n", + " 'HS-grad': 9,\n", + " '11th': 7,\n", + " 'Masters': 14,\n", + " 'Some-college': 10,\n", + " 'Assoc-acdm': 12,\n", + " 'Doctorate': 16,\n", + " '9th': 5,\n", + " 'Assoc-voc': 11,\n", + " '10th': 6,\n", + " '7th-8th': 4,\n", + " 'Prof-school': 15,\n", + " '1st-4th': 2,\n", + " 'Preschool': 1,\n", + " '5th-6th': 3,\n", + " '12th': 8}" + ] + }, + "execution_count": 260, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "education_map" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exercise\n", + "\n", + "* Make a probability plot hours worked and P(>50K).\n", + "* Plot P(>50K) for HS-grad, Bachelors and Masters.\n", + "\n", + "Note, columns are: 0 = age, 1 = education, 2 = hours" + ] + }, + { + "cell_type": "code", + "execution_count": 253, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 253, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "quants = []\n", + "age = np.arange(1, 80, step=5)\n", + "with model:\n", + " for a in age:\n", + " prepare_shared_x(2, a)\n", + " ppc = pm.sample_ppc(trace, samples=100, progressbar=False)['observed']\n", + " quants.append(np.quantile(ppc.mean(1), [0.05, 0.5, 0.95]))\n", + "quants = np.stack(quants)\n", + "plt.plot(age, quants[:, 1])\n", + "plt.ylabel('P(>50k)')\n", + "plt.xlabel('hours')\n", + "plt.fill_between(age, quants[:, 0], quants[:, 2], alpha=0.5)" + ] + }, + { + "cell_type": "code", + "execution_count": 262, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 262, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "age = np.arange(1, 80, step=5)\n", + "with model:\n", + " for education in ['HS-grad', 'Bachelors', 'Masters']:\n", + " quants = []\n", + " for a in age:\n", + " # prepare shared\n", + " shared_x.set_value(scaled_x)\n", + " feat = np.array(x)\n", + " feat[:, 0] = a\n", + " feat[:, -1] = a**2\n", + " feat[:, 1] = education_map[education]\n", + " feat = scaler.transform(feat)\n", + " feat = np.hstack((np.ones(feat.shape[0])[:, None], feat))\n", + " shared_x.set_value(feat)\n", + " ppc = pm.sample_ppc(trace, samples=100, progressbar=False)['observed']\n", + " quants.append(np.quantile(ppc.mean(1), [0.05, 0.5, 0.95]))\n", + " \n", + " quants = np.stack(quants)\n", + " plt.plot(age, quants[:, 1], label=education)\n", + " plt.fill_between(age, quants[:, 0], quants[:, 2], alpha=0.5)\n", + " \n", + "\n", + "plt.ylabel('P(>50k)')\n", + "plt.xlabel('age')\n", + "plt.legend()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 3 Markov Chain Monte Carlo [MCMC]\n", + "\n", + "* Markov Chain: A stochastic model describing a sequence of possible events in which the probability of each event depends only on the state attained in the previous event.\n", + "* Monte Carlo: Probablistic simulation of events with stochastic variables.\n", + "\n", + "\n", + "Or as I like to put it:\n", + "\n", + "*\"\n", + "Markov chain Monte Carlo (MCMC) is a technique for estimating by simulation the expectation of a statistic in a complex model. Successive random selections form a Markov chain, the stationary distribution of which is the target distribution. It is particularly useful for the evaluation of posterior distributions in complex Bayesian models. In the Metropolis–Hastings algorithm, items are selected from an arbitrary “proposal” distribution and are retained or not according to an acceptance rule. The Gibbs sampler is a special case in which the proposal distributions are conditional distributions of single components of a vector parameter. Various special cases and applications are considered.\n", + "\"* (Encyclopedia of Biostatistics)\n", + "\n", + "![](images/donotunderstand.jpg)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 3.1 King Markov\n", + "[statistical rethinking](http://xcelab.net/rm/statistical-rethinking/)\n", + "Let's take a look at an analogy to understand what is really going on.\n", + "\n", + "![](images/islands.png)\n", + "\n", + "* King Markov has many islands and amnesia. He doesn't know how many islands he has nor the number of residents living on those islands.\n", + "* King Markov wants to visit islands proportional to number of people living on it. For example, with two islands, with distribution `[1, 2]`, spend twice as much time on the second island as one the first.\n", + "* He doesn't recognize islands from earlier visits.\n", + "* He can only count the current island and one other island.\n", + "\n", + "**GOAL:** \n", + "Find the distribution of number of residents on each island.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Simple algorithm\n", + "* Count the number of inhabitants, stay that amount of day, then move to the next one.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 92, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAW4AAAD8CAYAAABXe05zAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4xLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvDW2N/gAAE4lJREFUeJzt3X2MHdV9xvHnt7s2xjY2NhjLgBdjQiEEiZhuwIS2QiQBSpOQVqgClZakNP6nTZwoagSqUlpVKokUEShqo1iEtCWUNHVQGlFeggyRSqjc2ECJYU1scGIbjG0wYJeX2nfm1z/u3GW9u3d39mXunHPP9yOt7Ds7u3vmzp3nnnvOnHPM3QUAiEdP3QUAAEwOwQ0AkSG4ASAyBDcARIbgBoDIENwAEBmCGwAiQ3ADQGQIbgCITF8Vv/TEE0/0FStWVPGrAaArbd68+VV3X1Jm30qCe8WKFdq0aVMVvxoAupKZ/arsvjSVAEBkCG4AiAzBDQCRIbgBIDIENwBEhuAGgMgQ3AAQGYIbwJC9B9/VI8/trbsYmADBDWDI7/3DE/rsPzN4LnQEN4AhL73xTt1FQAkENwBEhuAGgMgQ3AAQGYIbwCjuXncRMA6CGwAiQ3ADGIUKd9gIbgCIDMENAJEhuAGMQktJ2AhuAIgMwQ1gFG4HDBvBDQCRIbgBIDIEN4BRaCgJG8ENAJEhuAGMQt9k2AhuAIhMqeA2sy+a2bNmtsXM7jWzOVUXDAAwtgmD28xOkfR5SQPufq6kXknXVF0wAPVxuieD1jeJ/Y41syOS5kp6uboiAeikF/b/r77/s11EdUQmDG53f8nMvi5pp6R3JP3Y3X88cj8zWyNpjST19/fPdDkBVOTejTt15+M7dOys3qFtdE6GrUxTySJJV0k6XdLJkuaZ2XUj93P3de4+4O4DS5YsmfmSAqhEI3ctmNOnwb+5Qn9++Vl1FwcllOmc/KikHe6+392PSLpP0oerLRaATmnkufp6m1FgVnNhUEqZ4N4pabWZzTUzk/QRSYPVFgtAp2S51ENiR2XC4Hb3jZLWS3pS0s+Ln1lXcbkAdEiW5+rraQa3iQCPQam7Stz9Zkk3V1wWADXIcqm3h8COCSMngcRleT4quLmrJGwEN5C4Ru7vNZVQ8Y4CwQ0kLndXz8gaN8NxgkZwA4lrZMNq3DWXBeUQ3EDicnduB4wMwQ0krpG7+nrpnIwJwQ0kLst96K4SKt5xILiBxGW5q9dGdk4iZAQ3kLijatx0T0aB4AYSNzy4EQeCG0hc5qOD2+mdDBrBDSQuY+RkdAhuIHFjNZVQ3w4bwQ0kjjbu+BDcQOII7viUXeUdQE2+v2mXtrz0ZmW/f+/Bd3X2sgVHbaNvMmwENxC4Wx4Y1FuHM82b3TvxzlPQ22Natfx4SZLROxkFghsIXCNzXXfhafrLT5zTuT9KjTtotHEDgRtrEqiqUN+OA8ENBC7LmXYVRyO4gcBl/t4AmU5hBZywEdxAwNy9WePuUHBTsY8DwQ0ELC8qvh2vcVPhDhrBDQSskeeS1LEBMlS440BwAwErcpuRjTgKwQ0ErFXj7nznJEJGcAMBa9W4O3U7ICMn40BwAwEbqnF3aABOCwsphI3gBgKWFQHauRp3R/4MpongBgKWFfcDdrqNG2EjuIGAtYK7UwNwWmgoCRvBDQSs0zVu6vVxILiBgLWCu9P3cdM3GTaCGwhYXcGNsJUKbjM73szWm9lWMxs0s4uqLhiA5lzcktTbqds9uK0kCmVXwLld0kPufrWZzZY0t8IyASjU1lRC92TQJgxuM1sg6bckfVqS3P2wpMPVFguA1Pngpr4dhzI17pWS9kv6jpmdJ2mzpLXu/lalJQMi9n+NTF978HkdevfItH7PgbeadaSOt3FT4Q5ameDuk3S+pM+5+0Yzu13SjZK+MnwnM1sjaY0k9ff3z3Q5gahs3XNId/10hxbPm605fdO7B+CMJfN0xpL5M1QydIMywb1b0m5331g8Xq9mcB/F3ddJWidJAwMDvF8jaa05Rm79/fN0yVkn1Vya8uibjMOEVQF3f0XSLjM7q9j0EUnPVVoqIHJZMatfX0+cd9xS8wpb2btKPifpnuKOkhclfaa6IgHx6/TKNTPF6J6MQqngdvenJQ1UXBaga8S+cg0jJ8MW5+c4IHCx1rgRB4IbqEDucQ5Vp3MyDgQ3UIFGFvc82oycDBvBDVQg2hp33QVAKQQ3UIFG5LP60TkZNoIbqADTsaJKBDdQgazT07HOkMiKmyyCG6hA7DVuWkrCRnADFYg1uBk5GQeCG6hAo8OL/CItBDdQgVhvB2xxbisJGsENVKA1ACe64I6suKkiuIEKxF/jrrsEGA/BDVQg1gE4cZU2XQQ3UIFY7ypBHAhuoALZ0F0lXGKYeWVXwAGSs+PVt3THhm06kk++wfcXrxySJMVW4TaGTkaB4Aba2DC4V/c99ZJOO2HulIauX/6BpdEGIZ2TYSO4gTZaHYwPrv1NzZ2dxqUS59tMemiAA9potVP3RFprRvciuIE2soSHrbMCTtgIbqCNFG/p48NFHAhuoI0sd/VYmnda0DkZNoIbaCNz5z5sBIlXJdBGlrtSy+0EP1xEKbGXJVBelqdb46alJGxpviqBElpt3ClhBZw4ENxAG408V19vmpcICymELc1XJVBCljP4BmEiuIE2sjxPbvAN71NxILiBNrI8rcE3w9FQEjaCG2gjy/NkgxthI7iBNjJPc54SiZGToSO4gTayPFdPosGNsBHcQBvNAThpBXeK87LEqHRwm1mvmT1lZvdXWSAgFFnuCbdx01YSssnUuNdKGqyqIEBoUgzutI42XqWC28xOlfQ7ku6stjhAOBoJBncLnZNhK7uQ3m2SvizpuArLgoDtOvC2vvrQVh1u5HUXpWOeffmgVp44r+5iAKNMGNxm9nFJ+9x9s5ldMs5+ayStkaT+/v4ZKyDC8F8vvqb/eGaP3nfSfM1KZP6OpQvm6LIPLK27GB1F32QcytS4L5b0STO7UtIcSQvM7Lvuft3wndx9naR1kjQwMMAHrS7TWsbr7hsu0LKFx9ZcGlSNCzhsE1ad3P0mdz/V3VdIukbSoyNDG91vaP1FqmRdjWld45DGZ15MW4oL56aMzsmwle2clCS5+08k/aSSkiBoBDcQDmrcKIXgTgMtYXEguFFKowjuVNdgTI3TPRk0rkKUkheNnuR2d6PCHQcuQ5TSyKhxp4TOybBxFaKUrFXjpkoG1I7gRimt1WCY9rO7cXrjQHCjlJTXX0wRTSVhI7hRSpbnjJpMAuc4BgQ3SsnydNdfTBG3A4aN4EYprL8IhIPgRimZp7f+YopoDYsDwY1SstypcSeEzsmwEdwoJcUVz1PEGY4DwY1SUl5/EQgNwY1ScoIbCAbBjVKocaeBkbFxmNRCCkjLtr2HdMuDW3UkyzW456AWzZ1dd5HQIXROho0aN9r66fZX9ejWfXrj7SNavniuPrXqlLqLBEDUuDGO1uIJ3/2TC7Xw2Fk1lwadQENJHKhxoy2WK0sXQ97DRnCjrdYc3Ny/nQ76JuNAcKOtLKPGnSo6J8NGcKOtVo2b6VyBsBDcaCvLXWZijpKE8B4dB4IbbWW5U9tOFC0lYSO40VbGaMnkGDcERoHgRlvMCJgup3cyaAQ32mowBzcQJIIbbeWsepMeTncUCG60xYyA6aKhJGwEN9piDu70cLbjQHCjrQa3AyaLvsmwEdxoK89dvb0ENxAaghttNXJXXw8vkZSwAk4cuCrRVpa7aOJOFW0lIZswuM1suZk9ZmaDZvasma3tRMFQv4wad3J4n45DmRVwGpK+5O5Pmtlxkjab2SPu/lzFZUPNGICTLjonwzZhdcrd97j7k8X/D0kalMTigwlgAA4QpkmtOWlmKyStkrSxisKgc/5z237dsWH7uEtUPf/KIZ2+ZH4HS4W60TcZh9INmGY2X9IPJH3B3Q+O8f01ZrbJzDbt379/JsuICmwY3KfNO1/XrN6etl/nnrJQV5/Ph6sU0VIStlI1bjObpWZo3+Pu9421j7uvk7ROkgYGBjjvgcvdtWBOn/7ls6vrLgoCwrSucShzV4lJ+rakQXe/tfoioROYhwTjoXMybGWaSi6W9IeSLjWzp4uvKysuFyrGPCRAvCZsKnH3x8XtnV2HUZEYC52TceDKTVSeu8httMMKOGHj0k0UNW6MhQp3HLhyE8U8JBgP9e2wEdyJYh4SIF5cuYliHhKMiZdEFAjuRDEPCcZD32TYCO5EUePGWBg5GQeCO1FZnlPjRlvjTT6G+hHcicpYCBiIFsGdqIwh7xgD7+VxILgTRXBjXLSUBI3gThTBDcSL4E5U5gQ3Rmu9Iqhwh43gTlQjI7iBWBHciWoOeSe4cTSjdzIKBHeiMmcADtpj5GTYJrXKe7fa+OJr+tsHtyrP03m17j7wjs49eWHdxQCG/NMTv9T6zbvrLsa0HD93lu6+4cLK/w7BLemJF17T/+x6Q5eefVLdRemYJccdo99dxQruOFqrpaSOkZMPbXlFOw+8rV8/bVHH//ZMWTCnM5FKcKs54VKPSXd9+kN1FwVIVuau9y87juuwBNq4xWowQEudvR7MEV8ez5JYfxEYqY7OyYwZK0sjrkSNGwgBt6iWR1qJ9ReBljpv425eh1yIZRDcKt7pe3kqgJY6boylxl0eaaViNRje6QHV2T3J/DnlEdxqdk7yTg+8x2vonWTGyvIIbjVr3LxggHo18pzrsCSCW831F3nBAPV2Tua5uA5LIrglZc4LBhiujs7JRp6zDmpJBLeocQMt9Y6clHp7uQ7LILjFiufAKLWMnKTGXRbBLXqzgRBwHZZHcKs1AIcXDFDnCjgMwCmP4BYDcICR6piPmwE45RHc4p0eaKl7WleCu5xSwW1mV5jZ82a23cxurLpQncZ0ksDR6prWleAuZ8LgNrNeSX8v6bclnSPpWjM7p+qCdRI1bqBe7q6c8RSllalxXyBpu7u/6O6HJX1P0lXVFquzaFsDmurq6smKhbq5HbCcMmtOniJp17DHuyVVsozxJ+54XO8eyar41ePaeeBtrV55Qsf/LhCqr/xwi7764NaO/b28aJuhybKcMsE91jM5qgXMzNZIWiNJ/f39UyrMGUvm6XCWT+lnp+PMpfP1qQ+y4jnwa0uP0zUfWq6D7x7p+N8+5+SFuuycpR3/uzGyiaZvNLOLJP2Vu19ePL5Jktz9lnY/MzAw4Js2bZrJcgJAVzOzze4+UGbfMm3cP5N0ppmdbmazJV0j6UfTKSAAYOombCpx94aZ/ZmkhyX1SrrL3Z+tvGQAgDGVaeOWuz8g6YGKywIAKIGRkwAQGYIbACJDcANAZAhuAIgMwQ0AkZlwAM6UfqnZfkm/muKPnyjp1RksTgw45jRwzN1vOsd7mrsvKbNjJcE9HWa2qezooW7BMaeBY+5+nTpemkoAIDIENwBEJsTgXld3AWrAMaeBY+5+HTne4Nq4AQDjC7HGDQAYRzDB3a0LEpvZcjN7zMwGzexZM1tbbF9sZo+Y2bbi30XFdjOzvyueh2fM7Px6j2DqzKzXzJ4ys/uLx6eb2cbimP+1mCZYZnZM8Xh78f0VdZZ7qszseDNbb2Zbi/N9UbefZzP7YvG63mJm95rZnG47z2Z2l5ntM7Mtw7ZN+rya2fXF/tvM7PrplCmI4O7yBYkbkr7k7u+XtFrSnxbHdqOkDe5+pqQNxWOp+RycWXytkfTNzhd5xqyVNDjs8dckfaM45tcl3VBsv0HS6+7+PknfKPaL0e2SHnL3syWdp+axd+15NrNTJH1e0oC7n6vmtM/XqPvO8z9KumLEtkmdVzNbLOlmNZd9vEDSza2wnxJ3r/1L0kWSHh72+CZJN9VdroqO9d8lfUzS85KWFduWSXq++P+3JF07bP+h/WL6knRq8YK+VNL9ai6B96qkvpHnXM253i8q/t9X7Gd1H8Mkj3eBpB0jy93N51nvrUe7uDhv90u6vBvPs6QVkrZM9bxKulbSt4ZtP2q/yX4FUePW2AsSd90ikMVHw1WSNkpa6u57JKn496Rit255Lm6T9GVJrUVET5D0hrs3isfDj2vomIvvv1nsH5OVkvZL+k7RPHSnmc1TF59nd39J0tcl7ZS0R83ztlndfZ5bJnteZ/R8hxLcpRYkjpmZzZf0A0lfcPeD4+06xraongsz+7ikfe6+efjmMXb1Et+LRZ+k8yV9091XSXpL7318Hkv0x1x81L9K0umSTpY0T82mgpG66TxPpN0xzuixhxLcuyUtH/b4VEkv11SWGWdms9QM7Xvc/b5i814zW1Z8f5mkfcX2bnguLpb0STP7paTvqdlccpuk482sterS8OMaOubi+wslHehkgWfAbkm73X1j8Xi9mkHezef5o5J2uPt+dz8i6T5JH1Z3n+eWyZ7XGT3foQR31y5IbGYm6duSBt391mHf+pGkVs/y9Wq2fbe2/1HRO71a0putj2SxcPeb3P1Ud1+h5rl81N3/QNJjkq4udht5zK3n4upi/6hqYu7+iqRdZnZWsekjkp5TF59nNZtIVpvZ3OJ13jrmrj3Pw0z2vD4s6TIzW1R8Urms2DY1dTf6D2usv1LSLyS9IOkv6i7PDB7Xb6j5kegZSU8XX1eq2ba3QdK24t/Fxf6m5h02L0j6uZo99rUfxzSO/xJJ9xf/XynpvyVtl/Rvko4pts8pHm8vvr+y7nJP8Vg/KGlTca5/KGlRt59nSX8taaukLZLulnRMt51nSfeq2YZ/RM2a8w1TOa+S/rg49u2SPjOdMjFyEgAiE0pTCQCgJIIbACJDcANAZAhuAIgMwQ0AkSG4ASAyBDcARIbgBoDI/D+IVfRcAEpJ5QAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 92, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "distribution = np.array([100, 200, 30, 10, 200, 50, 60, 80, 10, 1])\n", + "\n", + "def generate_path(distribution, start=0):\n", + " current_position = start\n", + " while True:\n", + " for _ in range(distribution[current_position]): # stay the number of days\n", + " yield current_position # return the current island to the distribution stack\n", + " current_position = (current_position + 1) % len(distribution)\n", + "\n", + "gen = generate_path(distribution, 0)\n", + "\n", + "path = np.array([next(gen) for _ in range(1000)])\n", + "plt.plot(path)\n", + "plt.show()\n", + "(pd.Series(path).value_counts(normalize=1)\n", + " .reindex(np.arange(len(distribution)))\n", + " .rename('approx').to_frame()\n", + " .assign(true=distribution / distribution.sum())\n", + ").plot.bar()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "After 1000 iterations we have visited al the islands, but the approximation is not very good." + ] + }, + { + "cell_type": "code", + "execution_count": 150, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'distribution ratio per island')" + ] + }, + "execution_count": 150, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "distribution = np.array([50, 100, 10])\n", + "gen = generate_path(distribution, 0)\n", + "\n", + "n = 1000\n", + "path = np.array([next(gen) for _ in range(n)])\n", + "\n", + "for i in range(len(distribution)):\n", + " # cumulative mean\n", + " plt.plot(np.arange(n), np.cumsum(path == i) / np.arange(1, n + 1), label=f'proportion_{i}')\n", + " plt.plot(np.arange(n), distribution[i] / distribution.sum() * np.ones(n), ls='--', label=f'true_proportion_{i}')\n", + "\n", + "plt.xlabel('days')\n", + "plt.title('distribution ratio per island')" + ] + }, + { + "cell_type": "code", + "execution_count": 120, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.34" + ] + }, + "execution_count": 120, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(path == 0).sum() / path.shape[0]" + ] + } + ], + "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": "3.7.2" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/training_bayesian/images/donotunderstand.jpg b/training_bayesian/images/donotunderstand.jpg new file mode 100644 index 0000000000000000000000000000000000000000..f94d07cf78087e16c3b07559de499eec5c8c79bd GIT binary patch literal 75999 zcmbTd2Ut_lwl2CLVCa$FLFtG{?^TfAL8OBMQl`0ZJmgIeZ@w9wmTJi3g&@yBWeO z!?lqR@1Gm+9~&M%hyd3@B4QHK+Wm_l+SYp`&MDWa8%G<>S96E+Hu;EhDS?NKIWsQ%l?AvFQ^t za|=rc$LCJYF0O8V{sDnO!6BisaWCT&5|fg%vR~)qzImIMUshgGSyf$A`~Jhn*0%PJ z&aUo(!J*-i(Jy0Pr)Os8<`)*1mf@R-tzW;lcXszse@;%%&i|q>F7W`+|27Br`M(YN zFZSRJ$HT`B0|EFS_Tb?M;ocxh0>Zl@x2PT(fuH$MbBIP0(WqpWw)7KoiWwtm?R}?6 z=(xn;+^Bz;^iPZazZn$s|I4EPH0VF=xmgCtKzO(T15pA>z~wlG(En{ziAtvahKw3L z0e{)AJBRryOqzQ>!*WE)RyEYe&6_DCzXa0Ue%z1c$OxZ$CKD*q#?D}=BAm|pDUG;7 z^^HURT(}2+TJP)H9G6nxuNoqLo6J{*N3RZls5zo+QgD}jtE=l;=iYKUPM!Cx%N!>#frZD%tFzz(>?{q<`NARDx@mvy?UA&lJb|_M#uuT3* zY7pW>X+eGOA?v+4J+f{6ZPl{i51XQ;i-Ji3NoROJa; z`Bk>gKh43T0u`GiSG}^HO5WsUBw(3tp5bBGNLJP5V4OfQGOU zln;7sZAjN_A4TIc9Yx0UfQ~Ba7w)2A{8yy0%EW5@B_#j}V5Cf{X>T7zW(cSO`0oZ^ z6W*aX1(tYW)j~JKRu*EoI#vS`zcM7kurOBF)MVd1AT%W(bKpAv>i(zv#ZX3Xs7LIh>Vr@ z)D>J8iJo`8q_DX3n@=I`q45mpkruTy-3XoY6_KfUw#O#g8keIb8fM&`L=m*O9iYUj zt94rl^hvi){Z2WL-ZEET%eN_(oesXlqerFOB_f?(tlC0g7 zTfTf&5V7b^%dNdTaztmBU)es@ko}YFN*9zlUu|1DzL;*Y`GCkFKZu}*%-hKpCLf^O$z=cLDS&I=M1?o{x_-P2=Q zH6GAbV8iR|`pERXQdwk82WKq&N9Omv46 z!|$k1qj<@BDK+*fQFv;jPb=<}ZO{N^@p#D(0DdyCHUN|mmf%O>O-BKI0PYLLEN-xF z@!|QzDih+y(Gc&SyRs;dGO(-ZLJk7>tqFG@>&3j9G!!l&I94WACdR$}#m+uR_nLCDM0C+!3`= zj;(vUNRD9t`9oOiGh@Y`R!k+0P(s_a(h!q4Q{Ovpp4Pk|@DE8ujbdC-qpRN9NM==L z8hocW0A*shY}1Vq(h{oqVB{D22LDJg?3gA?uhL<0jl!A1auBsPz0={n3+8 z=>AO$Pmz;e$*G~Zs|Wf@Vy0hT`tc6k0CBOk$l!b^&0Y~3@+dpx1|XWRe(#o6xh8Q~o25e<)sVO>s=@u)HX@?M zh$+zF#cBDKbht4uFM_+}96M--z1Nh*(Ia1HJKw7ZKc;fCgLqcA^`aEoKYCPJuGVu? zL0g}W-ql6@DMTox=~Ok!eVns9_ePieFb}tHvo4B#WDWWL{!^hjzqrrTQgFh+4M25f zhv&A&6FVg4dTwZ~6Tn)X`Aa^JL$pi&aCr%FY{tVwLTtWUvU-%)C2RXaI!C!tjmN+H zIrI2Z>lNeCuUEn`blGg31amwqEyeeAj7OvTs4zO{mmA-CM{Bj-F`C?Iyz)!ciY0!`XNobvo_}^Mwc~ zOOpYh(kvZpK92Z4u0-vcFtER=*+%put2qQ4B5l}tyn9+>rfZz`HIjG+`ykxnrGx^> zg*-8w(bwaQu>rHcGIuaFq)C!+HIy!_?jFFSaZir$x)`I+AcOve(7V>3jB?)15C0Zk zQ{7-0{sOH5+Sh6j8k!(|c(V48yE)dlJwr*1XEjMB-9Sb$3g5N1ucGroe8!McYKsnX zMtQ!MJi^m6T<5*zZo3)Ph>geclR+^a4T0D{TfQRtPuj+k!$f5i8L^XscYRQMKOf30 z%ga%KJFI7I@+}yJP|m}Bw`LUY1_zD!E$tO?Alp*S+UYX~w=`-SNPiYtA>=JPns=<}GN>{LX<-No%b0dxXF<8v{&WpJGx zI{FzxN2lkk`HH1m+e%bSRUm;Pp(UdfEOV%AzTQ^KHZ|f}CzxH=>0k6J zxYwzkC$^&frGMS#=OSDi%H3VasKj$nXZ7239%y1lo9W|POR7ZY!p7N^HF%g(Em)r$ zB=<0ms+x@Dh+!nSgo!UWbRPj3UJCdWGytPKz_3@EyGzMB(z#buj&~0{_Hy={-IfL% z)}orbvDGNAjkE0p2`>hWYAY%|vu^*DE7kH1;K<#Y$!M&?WoEKi^5qUv56_+*KO+rB zFVF3aI3(SyEPmPgQ{O7%qib!MhDf~hb{03;ftJ%XAL=sdOU&O=nSX0NsH zf-KWr@J?A&3m*(~h-cPbSVc0IYj}PU7v>ReJAaadlpLd+j5;~~t z%5q9G^UHOJ9^(W8E9B^*aLdTa;#0fQ8(<)i1b@&G2|ff>4|8LRSv@>+e=@0(6|p4> zY&e4n*yp1Q4F-;rim9>k<9-fsc3KOx$Y~0xbKl$Dao+{%FV>PjM@h<^OK}aA%S4`> zCwE-H(Z8yHw#ZkG#4_=*b=kV$8*QvFYu<*!Uj(~cK^<;@vl`l$Q;|Gq#OF2M7UaT+ z4bKk&J#8PaDs;BK(oVK^s0K%t?u#(zCV3y+#KMYT3_FpH<<-Fk1C|2l?2*uc+?E-{ z3of7ZkJ>+J!3v>>87@4Byac$x@bT@>9eqORg&Nlm;~J;t$@(ll!Gf#0yK;qLulPtI zb}@eu7*s1iGVUM2ag({*)y_Aj1=*SbJnQd6HQU0Vg!@MYj;;yKM zgDe&6P{=l?D~SPfccCv{pCWVQIFy6y#kW=O zV()p~c3W1P@3}7Slhk1tzepkWWW*Yc-SInAW(`JrU8$6=!PpKfIA3MJcT}=>G=E2N z84zNpwQohmMB}d8Uw2b2+1{q?h-sR$W z`$~{-yVBs}f!s)LZWvQ!VN^^ zaG%X)HiuXg0NFi@kGl`+7`utZl2N2R;g)EdPM;fqSe#+IsH{rN*Qv1fMMSA3-fvqO z^b{Nh#@HfnfI*KZqsH#nfznLNd$g(~;xqD^O}S)>j(d1}e4rT@(1usKqVwQ7GsX}( zl3b+MfUvUNozln=X`3|S)Ah&8YX<8+*5+>&KUG{t2f#g)`W3;`@&c73wH{T=6?bYz z{*Ks8^oTeqZp|g0G%cGT6h;Sh)`_iFb|&}iR^Awo3gz83VexqzOFR1HdS@hp546Mw zg0HW1C@a#Ud*C+!Q*flxM_V`Vf-%Wd{_YR=25gm59QZI|>*9Fl2`>W*>?ngBbQTU^ zh!x|H$wzE{FEc@S7firK%4i?yl^uo#GO%C;ooZ}FpCu*k_N~b{SZ5ecX`q>a%XTx( za@XepkCZL)(($8bvv-x*AsD4uUX*0pW^p3bBWrZZlYDc=k6j*_$&U&z@sdw`vU(2} zj|K(Qw{532>2I<1n#pRYM*IjH$?8JRzb7-l0aRW?5%H}te>17(?_YABo817}AxN|9 zSlkyCx3di4-%!uu3(0FQY+wBia9YX-`q8i@s^&@N991rT-o#y0#*LQLx^CwDGKw*# zg6^PfI_;u1hr*rbO{brR6u*oV3-+=@k2QopNFFzApF6D#6w{_2D|Y(XPvo&Q2>P-E zsRTl;-gnakkkt!6WF#;Ie>UC~)2;=6_Fd6~r z+lUtk=8PfA;wv}I97(1%RsIZ6L{ZGC$cGInF&>G-mc7)_n)&jgOY6(TJfB13SIhhE5vpsKR#&8^bugyfw}jVAegl|j+T_&*K$ zYCwn^0L>Sf6jF5qI0Pf~tu-QCd7^7s0#w%gIZrH!iDMQu$}6e*F$)zL0~lFRL|p{VQL->?^ZBoCH&&%r=W-6&Y3*4G^sA z?tEup{|=EA`JQA#!FN%JV~SS1Uu^6s#SE0gc@`3u63%+Q-$4IpsACAzGi zi$1&oDi*}?j-bS_tsJxt_H(Y?M2bwXN1xmu~?JgvRh;D$DV{Gn(u10CN zKI&ygR5XoPUfnbb2vMt zHNcgYxx{FWuVJci!Jx1Min{*LI$XT*@&-usKp52p`|hngo~d5RO@5RIx*dvem)cU` z0~K8-HmO%uVbo`7wrqk2_MS!r-7Ch8jIx`Qx4G+I`UTx5q%Qfc=49~4RQh0BLLfL| z{ZI`VWc;DCrDgt%IVBGsyqT`R1J8R~3jkD6@-Qs%ZrPq98|qDZYlG#_!zRuTGh11_ z42~zDPJ%$`XPL_E4wK*l3=4V~ew?%nOFV7h_=^3pul(*=r&S58m++nHUE|ZF9r;ti4cNQp)=q!OKT)*iP zw87XR^-CM=c7YK~t7cK;Ym*Mr7T99f>?Y{5s4G);fFNzaZEtbvOGJ!yPce1ERkyxNxVT zKI;(>!8ZP+#gDu4us7(oh;e1+tY{&d27!+<3yumy5^d?w?j;W!(cR}(a*Rj0(^Bc+ z*LfDKp9f+>IdM?OE{A!Hegj`m>Jvc5f7*Bgo4t?W>rOAPUDa~9FQOc?>M<@Gr6rI` z;R2e6Ig$%q@t*r2;|RS^thD?`yH1=!@OF0wZ-6FcwvWneyjO0+Ty_L@b}xf;O5Dz6 zUkC5!MJe*4i_6x6&CX|$NAH+2E8MXh zEej2!&-0Sfy@oout~}1Z0}(CC?Bp0;T-2S8#g1ms-T=EIC6F#Y(6?Xc@9<7VIo<*0 z6hRe1Tg}*Ef0c-Li-X%9KMp@168P_ltVJn^M#+n9v=YOcmW4K(Vh>E8PFG2W&b4(n z(sJdCY~PlB+AbSv2=1B$Z!L^^T?k_3Z-AC;Bb=Y+@qrFNK2(&Qm;9e2*`g{>s4 zAm#yOmH~!q5-MV*I70-TH5Y1Js;%%DqavP>pT}qxtMID z9&xCv@r4~}1ic`~2;us-;P{$kI!X~%0?E4pJanXm{>k&@L{Kc=mKc z-FB8B+2X|}tK6%NMdaaD-}Arm63l5l#-ShTyi`w@;Tl(MIz|c*^-svJ-%(cDsL094 z@v@)02l~>YdY(H_uI!V)B@|ZYbtw5FS~T^hT!DS$3KW>}po#dMwQ&(1_VU3xk_kYu z6S<6)qW$!yjbD&jIi@ADYO)j${qA+u`|45D$~jJx7Shnqcrx~0SFf-stxN#^(~2q^ zoA5wgX;H!(otZr)wgdgI0kCdX{v_|Z8@jb}2D`lci0k{f5(;h)OTIfChKjq_0%Oka zRgsB=*UgilVsr)9Hg+ZXXfPa1$BR&GY>X{LPr#iq6=K77=NGt;jO(OtC6FZX&MZ4L zze9aWCu!GPh);*(a{C#o+uv#DAB(U=g)kl#PJ&Gk zHem>G_N_bIKiJ>>M=3xk5amlX?Y)F+5-C^E`A2-eU*>Yfe)|?!n<_P57*dt z)m8&ZZZDoC#sM!a%8f2b+H(?9dK7bO#N~O9aQ$e>I_#uV@PLXW@svU<-fXEPzKlvo~xw>Qn!H96o9 z`#93{tO+}9M|<|^-ZP1`v#M-`-q>*cCpKLye2YLIqD8o}Ei`n%SDFZVpu|K#g8Z~TfEqo*`@ zf3`8yRUzWzP#UzmQR0g2s)lo&WqB%N!zxUSly{isfZsY^#?xR73*+GwUjd^h3y2dPqJuKopw*I>_*8thehuilgcaZqo z@dT$_C}pGZF^W;nLXy-Lo7rN2hW57P^ixfu476Az%jDz!B8tkZDl+ zI$vJrnU@FMxB~lFT00pW0Jf1O6bQH!CJROkU8EYn0UmJ!A#VX6eWd2g|K}a((^D>&cG;*Vr0>Lxm$ELKV`->Nt7JqWxn&d(4Y{h%T-{3Alvk6 zYLNM3ma8qpTaKaFNVy4k#0?NMNV$I4e;mLSvYWmJdm{rRoF`4ke?$t5v@@%UOf~YT zDXfW$3hl*2$!oyX-!CtWLgJQRXAyH3z^_8;mHKWmpWTX5tSf=AUYGWANEpyzL{R>e zp2eyty?PU2R>AE6W3BT{d(brk9Ti3kgi9fdu?FgpD>iu?@vj((Qrs$mq+(2Q!Gv=f zc9?;E#ROda18fFgXdE_dwy`n~%y-=YeZxT5J0MaoJn#m{T1QM=F-ovs^JhgVw$e5F zWv4=rjgP)>`7!nK2&KSC$7CjwO4w@}YL|ceDlRr?${bpaV5z3VtsLMA26ip23qlAB z!TXijFR}&1?j0WZe*H|*YY4&w!1pt#cc@(@vE1{$iqDN3{3^9r{QR&p>!2`F-WWPY8zEu_5Xt$VxWyP}f!rcI?;x?bK|a7pK-FI3m1HTHE7&BdVQ5%Wkv4!9Q!S_&PAz} zJqaTvM%#gUP{39RD9EEJ=1u?J`!;$#rCrd?l3P7z>R2p_U9fz$pvV(U`k8N~v^_*( ze``WHFCBCPM1;hm>i2pc<{M{-Pf>fF;0f2BN^Du5fxmsA{Tvq&QQI)K=Nl=-fLv>O ziz?v9^==f?v=S9ZnAp0~bLfRsF(GtO0(#2RWPU>7e7=ig3|{j$!2aF@j=57s$+*X- zc?jMB0kLh+oZ!RN)6}Ne!=Cd26{Q`+>>EHM`BZovZ!8g=Q7=&P`QKtntJj5Ac=6eZ z5;lJ=N^$A`2}>3ZU2g#1cN?&)m(X1+L-1-V@TD@{QHZ*(#>x2cb`BTi8385Q5YLP3 z$vJAJpJ|jvlaf*$zlH$_vyW1=LchD4aX#+E3WY-quG!pp4&u{)2y}R=KcvmC8Rho- zhI5>PB}eq#I+cq-103R%=eDL61kwv;G~XKv7CICWUBOtRCB#?==8nd00GO7ZCvVF^ zV16rAlqzWElgUSpZNe)f-HaY&1gAeri2JmFRppvJ= zfzPJ|Y;sYR9Vyf5(sdGaYq6K}2JnJiS}7Q&{9ng^GYoY(R;wc!dZ4&|$s-F~Mkkuy z9|CS^Db#?{(GBliGmt&QiTP;-VlHo@@MNMG zrgc`w-Rk8MMXCK)$Wq15L)H)KkkTz607irrMTdra(u1$lTZVV!vtF#+dnMyi zP*Jz!>x*=mS3+^N3t_IAnV`o zt#KnaxIVY^5K7VQW5_E0d=i-fo&vZ?)%xjYU+I-3y76+_Gby#uXrMr_=ZlmZ^8W2HQYpDjUwqE=pMmwZOopEk{8>*_z zPKh0(_tio{KVRC6AN5T8D;R(Ext{KzP{!clcp6z_ruwvIzY(63eJ~Ip4lLQn|K_IR z&|&+P>G$R9tFKUeJa%mW7j~J^1~}&|2VZBf3E+sPgEG6XA$TP6-VN|NbJy;C^aju* z2O{#6+34XD7YZ4)(8UIviE1FjxKDL%OF?R~2#g^}sbcC!~h!6j<} zo)51@T|kF8p$mj1!FAWSH5z7fU?`F=g_&`_@Ytk)sn?7 z(#r7$s8es(c&d;>1!ej@1PfqgfF`boa3(7=MO1rnN^F~-GV`Pd=Zg}KU8b+ia`?-5 zF~2V+cN=yj>>HF~JZzqSz0jMO`|U66U%33d{NVrK@@zQGZ)yWS{1^R&S>jst`>cE6 zv@+LC3x$XQW1Jvnn@hhT?ZeJ^*5Ln^oe^^%Hx}{1b=Y;KQ=HjLuklbkZ#Zy#lkk3E zW=w35=+@;sktp^&8ocwLKzKBw=|XcfUTJ?>>6$11p9vDK)7*)v3|5r-;S{=hm7G`9 zzN74!xJjZ0gc$Tg=vWO#?Wn`K<$J28-1#+zOMkjxcFnDnN9wfML@urzsA67q3V<#1wpP$W zBWR6gIIPV}Az+86Dyv~L=){Qh8U?<2jQ5&CI$oe*Q{Iqj+59KLnF*=8zB zRdy5>^sk}yc@ZPdURE4sxLXcg90OysttY`<7#`dSGq}(dz6EqAt^`7U1H`1^=rQFK z^x%2y4WQNN0-E_3BrGB6lR`biDZ+<$HxxKr1DE$NpOiZFr_+CblB_wgu=Sk%coJM^ z2%fkBI@mFZSYq7VUB;#JYSy?(<&ge+;XvmG;2DOqU*RU<^wM6O&2=*_O$&Fp0c@wB zyN~?wQm#m#W9>W8vy&hk6s<+cLYK>N($)y4AR5l6|~05vDjowvJ! z@qZPQQ0th)%fHvLo=T@CCX^={2g68JI3!V#8tpeMd!FPKQMbz3d#JGg+KEaS813;= zz9pi}n$gd2r~SGXD{QqqlG)F~WIU26{Jx9=I4^-faaas}+Tnvz-E4jK_HK7-&ICcy zkucQcViG)u$T&GqO#aK3C{h#R*0ZY!*KiMajN6Ic!OeCk4|2I;g2jeW?9x1 zDeu7+8oaJ6dW_jZBv-JQ(G12UDc~J(iN%AMLn+~JsZ(-zBR4?i2Mwdx1sUMXD|w#M z4MvJFt@=ST>Q`&@bCm`sQn4O7SkBpEyC<14|KX3`zYH zZlUwe935kw@TAkk^I`1R$j`3N$|5HLAY6i$rp!(iPBLSqe*H<_sPb@y$=c2D5$vah zW&r!&aX}#BT@&;R1+H-470vB>c9bf8t(P?fHYHY24scI(rOm3? zi{#}Z9Ao~`pe5flYDegwL5~ZP$3s7Lo^+W_dcf0J6{X{sxRPDDHJo{+$?se!<0?l$ zXeAJCbQNg18eFhBTvSkTE9+Ppxirfq5~JNx_^J>}H}{1Nr>8QRDR!a5Hq(?wiioFi z9rHEIa!+zxcsUZ`K#}m%oK|u3ZHB~kWgnR>#&S-c(a*Kc%3Q6~R{O7t;m{aaJjaSK zSTv45sR7{)R~mc5=u-y{XPW!W?}*ZY<9v?oQ-y* z3g!Qe=bb^M|7R71&DAkxl}I=+5pOt=9!8$ucEqPB+WbT9Y1 z_5H>%v`A+yti>-KF~%6m7C!% zto7(4%Eu8>;er*3|N1BR!`D|tL!zCd){g%BCJ`^>T>XwUpC< z-qtXB%sJ9_982H*=1{F1W5v|=!L?oT8P~_Vz1wd!xE#RDDww^{?HIX9a4W9N0;6vu z>NUO6h7MRcZhDA97+qx*DhA72IjJ3Hy?zjF{LVQ89lw7X{tS6CG#%`9et}YG9nKoG z?JdyFOuBf~L#GL&`a%Qka{(RT@+PlMRl@6!g~gZDGyj1qR zt!Mwe3@q`|KYu$a;F@RE$^Da}c^SBBvzon;&v@2DfGzt+ZPf|wh&Asij_Meh{*Xi% zxx}F~bx;*^%9m!JZ^kM&z?*Spc54^QoW_r3=I(S*4|FYA8PbFWta%3Z*`6&M)gke=t{kd6zeDc4PB zM6EZ#(#r6|rSO$b`_>q-am_#4$+Q~A-ddkedD{SQC8WW)SqsuE^`L^#7D6>n4O*-> z%Gfp1J5dwe6VNK(WmTUhy;j^D+0}XIN3D7zIe-3pcPh;_Y;?T_em2Axk%w;dw-u!Anx&h|4?{X7T=j4{+Rp z+hDWlI=mX2Q52>4VF9)UhT;%=8oGm1xFm6`A#lAfX_M9J5zI?4T&HTZW_RTSL9tW5 zONHry)o-r!PHP;dw#b`SKInm`nW=`P3e+s=xj2Hj2@*{L|WAu{Vq476u#oJoj&x{CWDfj z5ZZLCboYBHxrzXFsOklLZB=U_a2;0k6WoByG?dweEOzad){#a6b+3BNj3*;!Mb>ZE zKf?OpR6G+~ocw{~VAo+x?%&kPHb6mQj)@K75-EVey2=P~;yGDnMlG&% zP5$piA|ZoVS)Is9-|%N$a}S*QtbAzO5>xN{NM&!m5zMmM5*)cje4GrNkpQ?UobaN% z>CgwoY0|-=6CtJDJd;|R)#qw>(6wXkKoD30@&5O~Xn%D7`p4j<8K?Tfk)N$pg7F&@ zb%NVXWG=RQFt zV-CMk#h5E7lCD5E&XmykGMg;*&qqg<((()SDDsfogUehMl-q7hDf(bmWnHMHLWRn= zL8ND_U)4{y{NJ#ecMe0c-_`=l!*}RIM)3I#lBGcksO-9Cd6_%I9IbyI%Nv_E5GXWAa~I@gl3>O@Yl)Ar-ox5x_|5$>SA0g@U*HU-4qOl>X%z}V2m zo8Uz8PXCmj{wsXV@rWO{>xJtbgrc(oe>XR9bC)*A4ei1luhN{>5lTaXlH)q*5p1r4 z)i78{ds}ar*sr15jKcQcG8;g3pI8HXG_~oPUfvBr+pFP#$XJ%0*P{#QoyOd)*7A^; z)!_5u_IgK~0Csx`W+mdNrW8;gHk>xQ?;f~cySpIy!n_{Y`{>e>z>KOpNcLjp312Yj z=9^(iLLcdLFY|Ncz=UPTbjg*hZB--ZNfg)7vRV2knZ`3qFm)wI_0R-+xEi_%&L2)+ zkCACdUZ>3sQR#(T*YG?y-!i+yXREc6Uf#fOme$HtDX{0>ecxW}B<+)!HA~vNbk`U5 z5B)X`NWyhH&@bT;x7KaDY#!*zy7PNte`q?Jkueka#E2Z*_;Z!i|8VOl=)wtegUaDH zxPpm*#|;p>gIhw7zq6f`Apk+UKvH0*YPhq=Fm~KxR-Gb_U(Xf1HibroSj^jVJSttV zcpu&cTCZ`Bb$>Edc=YJm&43`iY#6WD!bKm-|l_2rBE)LJ*a!rHq^S434@0u+x&hZ z5?=}o^Eu}nNPxu5R|ZB!kov9)32Nq{K0t^4mWyoA%lmLqG}NSH)}tg#FD5AIudq{p zzh_AQ*1TKj&s;=h<{W$a4ZzTm!%isp7L+zsV;*i{V@n%plvq*7Xe7F3`)|Tn>CQ}eAbOA`HFl$|B8tV+CPX+g&$7?o zKtM#?5v7q5$!~*EL+M9*l~_yWuoaNMHiNoITae~D0TjNsWOglnxHgcahP|7HSdNL# zWqu8RifqN{PC>OhbXgTaV()vof6#ObKP5ipvTsfKNGwo>fw3rxR@A2;jpvmqKvkdE zAe~=hEl=5gu`ikXC7Y>!khVjsVZ1i%Xx4)3;HGD(?lsNXCX-FG*I9=r*cQ#- zQu|-_*ZTreukyYsq@iIhKcU)f=Dk)(ui@OknfwFu_knYT8Kg!E>A3tSMPfZw@y^s4J0;q7T{%I!tt;AIXF~q_ zHX%XrYX>}oCd-k&d-CnkZDjYmn#3y6UZ|N(NL24X?yrQmjE)xXOufC%YVuW7o#8d1 zcAI=WTH8zfSZe4Eeq zw|>{5`KHM0Imxo4@6G6Y>8@iItn`C+l;JjLtBnE({!TIJA+ESnEss?%>HeznT#Gl$ zsEaYuSPB8t_Ws8AmA}KuS)SIsJ*#VW80CPNEf>MuicYvr6`r3OHqQMv@|c%(N*qcJ zbs@G^hv5r86a1WIaC^u!;)l$z**yPW-lZ>1^ihg;g13hP6}izpHM=n98LpGlb%^V; zzA>^-m6-)R8o=KTzf{L$_=tUB34)^f2~(Ew@5~8TDJ3dJ3U^z+*g-}7c9eQv!yaxW z{HQVAF>!#QVJ*uah|IA%Gpn}vtkc1iX>$&*6raFq3-2Kq+aS;G?iC@B2zQrWRxbrz6QGO4zNi`uYpjq(4HNv zFmkzVIR2ySxYep0y$^QQv5;0l4UlC|ya5<{smL=jA{oAK2A2UmE$}>0$lzRwr)rS& z=j~`^QufhfO1C>JJ4ztMJJzo$vHRK5zx2MvVbC&PQ=0(P4`l_D&FYs0!#4og*)g$|c5YM6qC%^_*}YVa@zE;f z5(wv1xD^T)_Ld-b`qO5;%|Jf}jnBGoWbAk`f9dEE)RGuixk#!T3D( zH0EJ%bd16sYwZ45s>hW`ftRt^i9^%2GOJa%)^#Z@t_NR&Ku-~zLxxW$!9pP(sBuGd zLlwr{>m^gbr}KA}T9r3|lVs=1-|9|JS7J7v_W0xjyTzmHt#suyxj0#+t<5UV<=b>{ zJV$M2Y9T%@Tk4T zfJ*F=lv+83*^wnrtqUE|$z&wJmN+a9N+~bZEG`Z%4dt24*C}~MP(~Kn-UEB-^GnTa#NBy z%anLE!$}Z$wFgOU9kfr!HfGnG8)}H~+t+RRY@Z9>`qUZ@Dhiv599ng-iU}UeBAlLew6fb&U}20k+n|kFQihUMtod=@yMka;cL?cIORmQ zeD+D#x}4G8+r0n2MV}b(QE728)dJ)T+4x@QopY(Z^&bPR#Z68#{aQrjmk}&U`uw=Z zsPoXm`hk`7{(SzkyRuzW2 zBlO5b^<~t*RFS#N@x4yjmDWjB7OcB!`z?MT5 z$}C8f;(IHyO|T(lHB~XvXkk7&dqBI{^X;~H{*g`Qd~n3~{^aKu7Me=O?7QZ(i^~P= z+ifmyUd(5L2Bo(`A(p?qO1A2MbZ8a3-L@-gYm+hGtYhHWFU)5J+ z=2WOJM{MYJH;QI5-+KiclHLr?Z0P{Hu%maq^R2gr95 z-9I=UrKOwyC73Y!H^nE~)INYG2`M99(Vd%~(H|6PTg%#maBpV#+ZdXn>h|I<^YcHO z>iXX0Y+a{~7R+8?a$!obH0_HCuaVZjM>%tiR%2gG{ z$LgXH@2zG71*~=7qXCx9)<;rP7 z(8#;2nw^UJZv4!r&&`9Y1Jq#R@<5}TS9)x8I%fc(Ysdfhtg7N|V|=@*a%mu4oN>-Q zNGMwjce1|HJy*PE3{bGP-lA(3V{#25Kj_w6+)3AWZ8Op;wTQ^}+zb)smgr%AEj8;- zjRFT=ELGxovEt8Z;n3P`wz(fD@121AEFJf3(3@XxeWRmZEp*rpkIX4-Y1wf>3TCc^ zD=%^6PQn9rV|gXAM?z>>h@IHkcE4$LPHksgkI9;9Ft2h)g_ZdrJZ?D;R$@R`TTX4} zt*0WnBs!}43s0sVj9f*yEoJC^z*N&#_}q@rEn?HLqGDcoJ|>%1Amp|7yUmp2i~rWM zy*G4K9^1wrNf)l4OBgFyP`qvmV+st##=7HIjx@Q{N9-xoYoGfb$a+zugIopbms=P| zASOC1Y5|1W29H7(lAa(eXB|74a*I|v)lNc5k{0wVm{d}8>xZ%jLkm8XDZH*YU6KCX z6;ToPF0=YU9C#rA!X$;z9=7_HNnficpHHze>>a6foRf{{flqOc-zZ!|l#tHY<$;l( zV8f8}Tp36FxMq^(4?4ApNLL=7?pzbO=zcK6gxd=f?d-c8YBKCb=Cfv&%q9_# zVC1Kr-kH+ETKlQS<0frHmXz$Z(6ynwcQDQ7kI=-Gw#c_CN2K{$j+RtU zFte(scuz2VA>GfgJQL0_5TGSUEBTC|J*f5%IcLp(`kzl^|G)SP-h~8e1*-$iP&#m& zg`QSv1DA)#%yK?|Hq2z|UOest!Us7@-NY4yXrhML`d*vYC3=n=WcJs3mDFo0m znR2`k*QZX0GO>6b(Xl*;mu3H&t(wfMg*DWe^-&=vdGp>oBINz5Yu0rM%k5iwJoR!! zo>7blf+;7#_<~<+>Ppw9f=MDH%6nEWqiy2Jbho?4l>Jm4B^pM1UA~0+{NS&Wa*+N| zu?lhXvVY-ax%OG`T>5bNqq~V3cQe}aaBQ1xcGO?jvGv)&gD^y;h)B{FB))1hvZnSBf5Q4kATQ}~m32wpNli;4o}qQ%QO8zX;y^D6kCigVe zambjlRAw31U`E2|tp0t<>||#=PJy6`?_FhQ^_jtknpFnE1lbm#uBBBcmPfhps?-lC z^O%);;A08zbM#;*aZ%FCjwn+n?Kd2{e5K>^F3u?w1$V3`{diO7s5{*=BLUv?^MW_O zV%qgIEho6C@rnd_<^P>)@DB3M>w1f=oN8p(Mx5IyxuI`&McFM1`%zO8NRJJR z=@~Pn3+asx3VlcBKODB#PLk=~N4&3(q1j+jSTBhE2``w~1m7E7DHvc{>~@^z9Of?N z-bkI2eB#c#>g=o8v6G3f{!~?QGwj(bu-Tacw-$aP#b3+!?B1ts5BlsvM4)Q`2r$Ss$CX!Ha(Xu|m1 z%kuM~{lhuS?E=%?$;}4&fR0UcZM|#@EVaC)Bq1pV;dcIHQj3cGxC?Q_V5HXalW&Pe!zn_G$9*Akf$AOpIz-ddy z8gF3rN`05xW#H;f8^6{Ib+UAK&OCLwQkx?Qr2CXl}C+GEH&OvJjzWXt^07Xo3S#fe?~bsME*tV8iJ zTPXDW)RNYBU9~qNeJ8>DLe-chTKuPxR6aA#bMqJt=(4gk8(`v>-(cvj<6qVlY8Fqf zdq{*_q}R~;kOB%FWW!M#4Kkx$T`t0#jicIJ(mtprlLNyUMawMV{@1~A^Vb{#0PDY#lNzb!g zb>PY{G2wxAn2`2Z+fc*!TJV)PXg-|vh75kUx6zS;Z5JXxeUz}EJt%pOid3LIGYkU| z-@edyx_9oLo|;VHpUB$YI8;0+?$k%t?I+;te$*;tDrn3@evauEFG`DuK${uEh4SXF zQ92G#yi0yGVP~viFZtp1$zK)ww9FQ9pZbuaTCJWxCE(cGR51bTpjCSWAJ|ZiD%;v* zuZ5%HCjwxra281-Wr)#>AIWbOs{2mv42?7y%FcdIh;tNcbBM( z-C_k{Jx@_A8*?(EdEVDmG_%=G#S7{2f16me8A}DS! zQmw1#!ux;e)RLcA)R~3Dlj0j2&-HFGS{wb@?T_@=bF4~jC~L|O3ER!U!Bp!&)Jgk@ zKG`YJpr!VGEq*m{Yp(kM{|m?V0CNNf`EL&KTasLPYr9By=4#sjeN6!6^`wnQPn^C@ zMyRtb9~YgUL~%Eo#RWuZjcprY4sGGPq$(S>ksoFq!jnJEdAq3Yme%GydNqM7Qof18?s++nYf~?bZW{o@=G;YbocY?|V#NS_c9{KAzJ5Acgze2jQ zNKr)gW?+TF3P8Vyo~Rpxcqe|xltEu8hmeX*3mf|Ilc42-HR91k97xBxK!{iU1?4?~ z-|Hmt__fe$Z^{>Nle3Uxi6qeuM^%SM!apkbMKqMIrthV9R5(Wy!sF=l5Hut?66(=> zOuk^=c6PRvHM8Vz5FkPy=5e3No#^yOY{ZGHo^@piIhNUFcRXu??j1H0mTI`fH?nEG z_<`#S4)vy+@_}x&!|=-~+%I}c&Y>0@m0V?hO|hX6_2E`IOD=;uLEBJ~Dt|1XenXuq z^er?vE+-~!F(zzX;FB%}Qv2Uh`7s#r*Gcrz8sx8iOE{#=K==i#F6*nUQfa5_gtMr| zXD=`%+y$Hy*LH}pf3LvGi+97avf@#X)eb3ys=-!_j1O{z6D<^yK#&D48T~%02Qdq7Vw%6vb~-8F2cWgr*&PN3`CqcSy|4M+}X6 zeaxklJG?693Xi>m?#NZZCt{D3PS)5kNzhwqNlYji4&Yiuk9N@HVSyB0fen&e+Gt~Y zp@dGv=iM90LhMylDA`rfqD5~!=)jXrE!_NF5Du8Xi{c4F5W^0*C02_AC-3dEH{76> zDPV32pOGnQXJwC}eQrr#-f4Q5svR8^c37~O3u@x`0)X1GO5aI!kV0A2NAQ2A3z7Aa z`ZUJH7*&u3r6Tlgm2)_;KJDp#9d48Pe6LPn_LR#0b2fe0x&~f=j>S!9q$A9)R$aI5 zm!mJ3m?PBvrw(YqN8FApYf6Jr7U_f{qqA$th2CFZ zAzZX0TYOSyvzObV<{zBOKc2Q-opddIpP&pGiSkbL_sv>}NLDPK(mT6xkyC5Y6Wid> zzgL-?S?;-K>eW~4y0aRK<5}h}l~TBa!$-&BwCsnAy0wzUGMP~GJgd9k^;4!OGD%nA z{Kg*@Q3F=gfs)(}5*|nq7xupbqioYbJBCbc(CwgA{x8gY)UD7&r+63EQ_?jpm)qwhfdF-mlY=Sa%zjALK@I zen+rk>U7Hjp8v?P2lXv$sY~|9z~31IsteAMo4s9RJ=HFszL$Tb6P0+Rc&0ipj``?9 zXV1i!=T&y$&#b4)h|Oem6cnwk!u3^9??FeTEI)@CbG}w~;2YF;igggiHH;(I;JQM| zT}nzyv}gYiw8J#9ps{3m-qT_4IF6%45VeF!Lf@X^mitF#oFa-x{Zl3-4V867w) zqTH8L-xl7Rv=jC;vrF^V^@BQ4)`ivBu6b0*|KAZz|6AGomyx)IVSyEejM*wk{W`7A z^GeY7jKyt-NjSF=4%#zKRJZ9UpN!eRqIr_MKa{>y$nQ!y{u*vHXN!uXv#(G9e->q! zvps~e{VAVv_Z%lyPEF9ETT=HX&>#Z#Iqy(M-R~5N>570P5UO^lt=QN^rSYA^WVk6k zQN~48kUmbqT?*1S9kU0?3MfVeKi7WvqP}s&30B8BNb#rDoDGo}cA9YTsEHyu{8O67 zt1>u?L!xk|Abtk!2uaH4@Q4)Rn(lE(5Yqc;mOSKJ#{!l|3DE|#bQ1eChFzj`QXX!{ zLKLZ;qv#LJ${U1Z<#&zxNa~nFCoQ({(Q)SaC~5SSHe)o3DW44S8_XZ>@ebJ@7uTWz zWJLeAN*p&|%HKsc)|^zALOk|;#9eHDI45+Bq5XU|jy585q5F${t#nWi>Sx%kwMx&P zD^Bz%h2dQ<*XVTSdSZ#A9o7XNmzXyi!Ua_OAFm4`Wbn-tcIK`aK=zjP$FI9(fmP>? zc?hSx@+jMI8hH}+#MAqgH)b6^d{-KbhpD%KFPCv|Ked1NbjBVY)q)FNnIt=Y*Eo08zE)-o&U?UUw`YJ;$SHz)|H=CH-bGntRZp(dD zLmogipNd5E0%w<@4NSB&VJunH=DkH{;Qd>BPsGMNP<#6Qx1OsR{T#=L*yOBzJy5c_ zY}#rhIy2rM%-50bG?M$UW9=shTDeDZ0c<;LXpY(0z{=qoz6<3MmHdJ8N#T+$VvT6~ zv8)X<%l{cq*+KWS$FrE0$QAUHxWL%;5tokg-GjXeON)#E}c2LN%7h@lB zo{iuH-&7k53HB&;7j3oBmDI6M2hcP*<9DzlF(GqIB;y}KP*}4>)kWJd9Gy#S4QZWZ z1_lvI?l?&@;99gqr3cX4f8UL0SC99IBhoHMz^xv2 zCOBUXF;e5hR>KWGt-+Hnn0VDtDNf%<9kgTS5i4x+6srvwMvp)?8Ve>HNz}fF29KIW z)*V#C#D>~pUU%hT(53J1{92+L!9o08Nct9w$=I`eF{3ur6-5L6LFzPVueB-Y@}V~o zwTz=oDH$TeQiAVSA+Dw#y3hVyyp{2LUfj*`-YX$vrYOW&6pLYQ| z@^|m(ObGZAZLR;9Z&z}K`jemzN>7E%UB(&0<2DF0PWbI2yg&3V z-j&-r zwiiOP~5ngWW5^jA?t?5m|<_1R3rUp4xieR_R=^?TJ~h!sF)i<;7yz^ z7p?@plIl;@tpu~c7KGo#Wo8m>C{~-4HWk=@G&?De$`g}d2`%Tka`ab8zGNJ@UFK_U zYBQk=`uY(TCJl9CJA~z8mXGKz30^ zUIufRohL?*%C2QCxVx7be-qDfZIt4mMX8x-=xwr7l3L#sm=r{L27Ok~d*eUXjBBJUV4I{<-AyXvFmcr7M{-WJ-!Wlv zCt2FXnWQC+DO^KXSv!bsvRDEWZ@GNd3!Vr{0?B}Re^Mt$Ne&DN)C6`l&D=>mfnhA~ z+30k@8Tc{PDVbso&_C^4Vb#LvQzXx&0HUrLXRgX>$rZNl``E#ls>r2PKFXcSoWi;h zbyrRQ8wWn8O6~{$?gnE3N)}J6LgoZbr&_T8HW@iiWGyyQ)bbR^E`D>`n}G{OeRVl( z<-)25m1ic$ng@?Vs0dlBL4;?p1cBu;_1(^BH)IfYXTr$tV-IOBco_Q}#Cb3^NP^>m z{Q@~toUO6(l6aNc`1E16ogs*$(E0mHaDtFg3$YT$=KFYtkNoyI_8!KZ0s?AwZ9egd z450~-l&=SRu_|ThJEd-%8$a6S*8U#(df!H;RPA=Iu0fy^6-WJP2}OUL$hw3*IoRy8 zt7#`Xm_l==mxawzQn02^z$x?oF*V;OQVVMhC+$dQ7Zya!y8)=GLSz)9(tjZc0xLtR z)l<(Iat#_Qwb2AcG1#!xu}Q0b=lpR2Usrs8TL%~G`Kpm@nu?dz-(|&e?SRsS9*!NS z=U8R(V&=f&b^`Hw^$cqnV(F6ycD9Rr!-AsJx0DKd{wt+Aq?AW~xBM4WnZZ+DdH0KE z82``8?tl4Z&02JRSUoA}8Sz(g{_$pX@ zhO>gXO|?ho^E@dcumfm(YRTX&4!)7lRvOP4x+SP!#^m0RRyUMl1k#m_hup~Lh^|f< zB_@F881tl-h(gUBK+s6e1fbljj!bix3w4cx^6wbwcL2t z{c`F&Rut}1bS*$5%5_9Z6bo7+!hX$3OPgu9!t9sAQ{H?h@rpj-PP(!C=)=7KnZ04V zy(z(sbPgEjZ*0e=#O`{S@arwJhzq?7ju!D<*wdwH)rt$vML_}CoB78-n0m!tdjP{bHC(F2gkF$y+0w~~Ka z(bVJvwf@m+iuyFxx4BF`+U!}8R%4c^>xl(eK3Amew;d#W(b{fKyAg)>?yi)l2+%Vp z>72&wLJk{sekt*9XzotBZH*T8_%Ad7Y2dtL^VlF}jER5W)T6mVd}#e3aZL&}wO7@Z zW)ixm*f7o4tM(R)Pg}&OR^Cz1O*cZEAp+0sDgG6 z=c&U+@Locme}z0D=wMr$DpaedMSc!kKdbP)juai?H{Hit??kN&TP6?oTydvOyA~WX zE<|d#b|3TVJ%;98M_l*CObs8B&1ql;S!_17!?|i34X^HyzoDwRaaJpm~atgtfoQ{uEw_89Bn$$iZ!vo_YJX-NG4vafla=&5Z`C zlDjr{5HarQ1*4TmIWOeiN0$wptEZMc>VmP&GEqix%W+2xT}Bj`BDpHHx5A9>`mIu{ zR5Szxup}p?-;D$;VV@=G&AewLT#iy~_5o~cv@)EwT}8$h{>bLhZSA~NTctm-qQL7fmMI&R=i=u%ulG05w`X0 zV9Y$vTD_A=R}Jb$8GKZ;45rWS?wGZTincpCxe4ImRn25UNY8|k4DqiXM9VpxK7Fh* zcCpjhbLEqvQwo%Zw!9zjRf4de_OG!7pPARE4;@M6p{BWk6t(4ig? zCz-urXWmeeC|er3XA3!OB&oI1Y(L;CVydXLbA5k#$Tg)|vc3rQ_NVlp&V}4fUWj(k z^I}NUna-)-Nr9KsllNu$cwNz?`VA*8Xt`KxT=&)veaNPmrr!N@I|*d>XqZ3oDR|@E ze*MkoU#ZsPzus!Ls?H{EUxI0kLLzx8`V5k5dbuCYMzGcOH0K%X1kyM^HB^l_q*#kw zjj(J`^>?8l&mz2acjha$k#OF^j`e0!ueeU;WO83B49f;a zN>ius(^?nH133qY`uUAkeNZ=ZjM)!*09G06su@2nFQrf!3t?vRr`GSfCaC#%`v*z0 zmxb9LI4?9-H@lk>d^${F;qUe7N)S!jI(qG0$#E&PYkl6d$0e2#FmnxNoH@ye#Epx@ z%WAc;N|x5KN4Q}YopB;UGbzfhJ+Az>m1F-;e%fOMG~Kp=ow7L9_pdS;>v>agd#d%; zwQ3%0k;+Mab*d-PDmmiy7ubJLPO2M;W_Nju<4AyCgOXDX}O%7W`U@sfWWbRE$h z&4k?Is(25I-wdA?EbD}yIWH|omY8hw&WfQHb|Z5`$>WmVoi&*uWPn%G5~H==^R;JZ z(}4LyEiXxGKO;vYB?%)+(%%Z|>W8W99c|e>AN~g;`oDxs{);aIBXn7v`4hA2xIVP8 z$_t%O&$NEKpQGJT{I1>FQZRr3GLJT@jH3G&Ec(v$z2(}I9;jWHF7jrUTv4l zEe17}_R9zM8G2cjbH%KANja_V8#2gRg`J_+G#D;nLeh9uw=@0i1pcYEf#;gU2 zxWq({`DRWMp}v!t(Sd{wGck)wIfyt$Hs*VFqy^{UEl2QqII0oG1y9-Etj@wjC12^` z$Kr*F^2@dcyyH>M4s~}_v$f*WYFQ;3Q4vS2RkYHqQKgS(jsY|dsG#xs%IF~U71c&A z4c8I|6yUBj#xkm)k`(DsU<$ys%wb;_`^B9r#lhBQ!h2mjQ77Wy)BaZvxEE<^Ve;HK zlD4Xv#hha_X4=p}JIr+?UfTW;Xq)WUZjNQM6~sBAH+xn}4e>U%S6c^;y~?^iK{<|@ z0hNvoEY<*$O)j>D!e{mziMs^2>(JY(zg{_W^JOh{xx!~HN5cGXgnWbRTXZgu2FI@kLfd<_hf5-3cm%v?+U1T3CZ#8X2sn2}YCDr_Eag8xQ?xJ_ zCg--7@0tN8^vubJuUXQ3_#}l-y6FqQ{lh5UEC31a_?qd+ihkt21>O{kYSR)ijJxxIl&2qJ?q3vclri|3n0=bs94VOXo_Inh1 zcG;eTZmLq|I}yxSLMAU7?Y_09omb(K^tOBacUTl!eE3crOd@Z8zH^Kg$q^LarCxg z4sUWVP2hBviY0@l4zmVR#Q<7no+T>P&(`WaXY?1LsmAs;+1#Hh`tOQg8~gB79nw|` zDJbLry(swFl5>KdMUD1aT-u;XO1?AGq#_9lxmRWN0c1<*iPB5A zGjD5BKuW;?HYce=(vn0NCTpAEd28$-gNq8f1JeV(2#Jos$^*^TV1>vorHNY6=yC9J z@z6Z?kLBAA2P306sl$h$!sVR!k$o2en?Kpb4ifTlzakMX6sw21C+<`irGa=gWGbV~ z4AP(%$2e>cLC?RgHy409+Y!I=F&3u!*<0#>EIqzfxJy9_-M@5v(@^8JoROtauAYkT z3DlGy|AS(o7f3}EOG}qFL%FJb=GrH|`{JYq*H8qtagMM`lWtvm%^+BV-+9hX6pHWD zJ3ZIhua)@Bj$M-2&dH-xZH*h5r|6f|Y3OpZaCEC}HiOl*UWw=vEkU9k z6e`&NT1d(hN22_DAlg=|%;>KlgY}&3^{uT^4|bt))7|V=e&-wo_Dr-+Bbb%SRH_sS zA~@BvuZI0kI623zHe9w+aNz&rfWrUMa{f<^@_+9%Ybx)+FzlvK+PWS&?m>Zxv$ywp|7JDUe2(mt#aoNVAjGH{U@B7<*cFt}Ex-kqP^v zBeB!manK_1$P;me!MPyd?`)7mREJ3-fd5K-8iNA}2J(LiPS$ZzcZA{~qvwD+c#EJi zQZ3{Wd)w!C#8HOUNZW^wnrNm8Xfg!We>$AcuZh_Q+38_XWA{&KoER9!(P}T8=WJ?v zR21&5a4#HrEqE)l-!zGs+AHBxU5WoT?YNg@(yuJ6Jk}wMUVl$p=;x*nyk&CHKGC0@ z{MwS?v=nAbZY3@whclwn*rMlp=;d8)=j7zYB>Qeaba1}WKmUV@@-lC1GKo(TkfzhE zCvsyxs;(^lRvGL?-7RcLIH8YD@DF)s!$mE%bJ#aTIm0Hl8!C;uUQ0BI-jaFF8};7V z6}63XL1e}lNbeuc>p}?)RZ%))O~XnMgB9vP=Gmuh+drH&zZ&Ep z#T0RQJ56og7Ny48$0=@oY9{{!hRsA}(7y4UMi}zBXKB^gYMs9;z9;*$hro>d&3$E) z1!gs0S!vyIPKc!W*j>K@_2Z+;H_x_Pc*7D#H4BbMkb~pa zn5)Ge2(<%F!2H1x8Gjw|SXYt&dyQdla3$ntdWzh&Gb8 zaa4Q?XfesDbn%bus8oN6AdyQf9mc@>FUEg4!GgexuIwPS7^t%Y?vcQ6h-U3h!BXnn zpsq)i9WuDSp*Au;f&f49Tv~Ji)pCS{1tb!DmmblOT#2Vz!}CCF2=97cLj9jzy?i7l zj}{8{6f~bq#7zWkr&d}|@Y&ia7FmE7{KP(_xufEFQ20MD>s4geFrHWTI+TyqpjvUg zYL^*ynA{$zV$=Oqi?OTMt;RFgq%G7QYyjWx+jX%GB>!{Rw`_)A<0JIG*4LON7cFk3 zGJIg;M~XDik}v;i6x4}=bK~rH_v*IzU2KjOWf9sG3ME|&imm@Fiq3py5yt*42@s99 zaGO4#92cm_81(70C(zr*uW~J%W|=h0uQIWR{XpLSwE@#_9N-vO0PiwEEbcE@qWG#Y z;(~B#55eU zp^cldc~CXp9(~!RTbd%DT_S?B$^3-^2nIEkXhQoA|CIckd#7yo)2n2M(MfmFVLNv7 zwUk>H;p#$Qr1uTasH+Y_k%Nos^fgaOot7-M!p_#UhORaY(gBp0Uayhoss!*QW+M$5A*G3**Q!7Fi4^;4ir z7fMJtB~meT2k(n<>o#r5sQL8?ED#<{`4c&Y+byyce~&k862x~*&heqQ4!Em~X^?`c z;Y00fUhU0UCs@cyznbaQf3NPjH%58biw)!!2Ulzoq=|T#ksL=APN%$2A5Yc!!Y&;U zqeZaHYreYCNQ1Wk8RpS&Dl^Z-Z?PgsW5)GpI!dDabckeB735=z&}8zc53eMntCj>3M~w7WOsg#H&4d z=#N}Z_o%Yj$ldH&h(x}sPR^`f#yumZYY_pvN-fQFbCpH?g>5{X?P2^p2d)?$QSBAL zhsC(PDj}onm>##OT{!rJCpxRaTtU(ND&vep%;U^_Ssfjk$HhugkWQ$*o7xsZnum2& zY={1ZDN+3-=EMV#p_Mx>r7~|#>noxKjNR<(o?p5jW!x<|{f?aYH1y+_J#%BJGdNLI z{OjJ3me^i3KIvn)L}%#sA0A9O@b0rz_Sy}yUlYuJ{smm5G9}|Zt94K&QabvZPoBez z-is5cFl|+W?aGs7P5sdLBPOD@g1X_`IunRCw1q8_1q{RI%I9VQzIukFB4A zo2~>oo9|MuT-TfDR_=R5tuLZJ1W)mLbgFGweDNvGlTgX`X1WLLz0yH!ff;(vZY9Qtu3}QlskFGEO(p-fjgi{-5 z@Eo|Zdu7|Hy_wQdK7TZ0j_$xq)~|S@wZ)kcLfY; zRyuZAdmq?NyCBl3HIg3tHC&g=FKzrQqJt(yPzxQHJ`FwLFxNFPv=L~D^PH9e%l6ys z$94fyQ{I5I9`U8<;{QB;H&auS7U2vc^jJNv^E+r~C}lXvF@7z2tlg(1KP6IBCq~Mr zn>2MFG-DQFChkUg#+)JZh7{l2Jx2n2iN6R3ygF=>skGW|uBtgJQn@tT5*&lrEEyrM z|C|OyU+?uR3mY#+Mc}^@QmWyX+zBsYR++``=$}ys1JQ$Vo-P3)duQ{e z`IpUu);P)RsSNI+S`P0x*AWyp(zz!7RFU&@H(CR9R2nzSL1Z!^EMtx*Qy}CXJtz@* ztgLR7(hIMBrG|N(q`=_5iiUAAcIHhM>-9Ul{7}^GRL=E`bM!NfNRz$MiQ-7P!dgW& zxECGWY-=C@)zs922=E-ruv_u8C}sr?EC=<@^}MNAQ!YE{ni>MBb!I7@Q!tv_v!S}f zf3Z+Zn-iW}&u~H?GIzZFzYX+qX}5h_bav=W5eb_h51M4Ay<8xz1qzpvv!8ibUz18y z!Hk@*o#ILBUG0@o1V=m5BczP+FA|M2_0whPGM@H-Mn`6adJD`VU$K68jq9=5s~n78 zLbMzfoDK4hi@@Vf;NaR?LFg}YV%qX`ke#VU2nmwDgH-97+pTij;%+F4nwLHM`tPRb z-$fm6269yq#;ZLR*djQEt|+bfR&C#6ufP8fiZDcnX(NXuPcoA|KzYgq->FwY?yS70 zUC})<8bqsFziXl0wAUqGs{E{N`YF!0<=Ih$qm@+8-Yxs>?FUt}>3ljc_4K#S3GS+T zj-c#N*tKyr1$!Q`&m0b^sxoOQ0|DlH3HZ_o`|g9X#{2ZXHxSZUVGfc7v`_?o!a(6b z7#T`HjwUx|PH{X_Oho_d%VUiSfxZPt9;g_-9y>0kYYQrMfq(M*cW>}V{17fGtY>lh zOW_fz*Is2euLPlbcrU9DTVb}C#*6O5jcXSqG-Jpghw7hH4&akd+4_?iQWPJ1#q7x{J z{4_BPXA{W_K%zI0BOwlTZDg1dYo=GKh>69+f4+A$YW1+p_w@b5LdS^Elv0f5&L^Ol z8VcoMAp+zOI4YB%xBq%%G(plZt65IFMu#7E}bEPYID zB(uaU1BAndL!&io&LLn{tafUmfZ5e?-SN{H;@7$@p{b#Y?*UX___5ed6=ty&i2E7K zRu+vH{RcbV`W4r58(5Z8?o4s7k2BB3m6lV`L#rcNMcZWXWIp;aCCt86tzHXbZfbTL z`^R~0S1J?UxY6-3^w0!CdcRtb={GNKoHd3x2cN z{!#rnR$^}|pI#?KEjtTm8{#wTJWSgrym`2%S*njqL zwp|PEjr21H9zD-_c|OXAXiQ38B)rE>mmA`k$Xk@?qDgB^+tP91p_sw)%VDiVY3@l` z)D-IxdehBtQmA+e{5LmT+Eq(2jSsM(y^nHmO2l_c2DH#KTc{>Xjc`^O-ZR(vb@&U! zLyT^OYuttkaLqHb3nyEihpszfI*k5KU0CadK5eD6mFJo$%(w)3zjx!?+q$ijx|nfk z$%%P`eQaX^(a2~=Q}+%oSe4eL^h>e(7eU9;woDj=#F-cJn`BZk&PaZcs9WH%0UT*e*}VwvbG zctVNRmI!fE8bi84oD?Uc^WvmpE%I3u9)5Dv&LWZ5y_f2W#wdbNHLJmbmk(0dF;MSK zg`fUNw-H5|9Hj_N{9FxfE1|R02pgZ7SkpRnHb=n*S~#CIbmD(gX(dKE&amX%2mT4V zEdD~=e}DM6m=3yj*kyY`BHEBBq1DgNNM03P*KU(|`K8cVQW5JFY~jh6FS&ZwT?LvB zpJQsMdSy>pmL3+C9uoIjwndn=MwEkeBZDM|3Tc+dC11k|&8URchX$>VbV$sL$j|F` z6Y%3y1WeUgqqiWsepX-&j1w?iRSz-ThgS917n!0t(GaYo-3R3@iP&mQh<1kRfA=|P z%xTSrQ*MFhnVfGRWQg(n(a`#z&B1e<7@OL#^=9qis~;W*#XF};$srBS&?F~A!`P%E zX=CENFPqn+2)ea90t4ZPBI4lgAHo5uOSs8ze8jwfr}^fs__ZULS??;|T%DE^D90Y#-Ak=!rptdPTJ){4 zKIh(0F(6nfy>*YdoQtt5^xYG+s4mYfl^+-2Mv-r6#@rM4B#Gl_$FCsqWqYk9C z{YJj5(e7h^AnV*b6fPx$BE2(z3>z1qx{k!8v?E&Js059g}DV1 z$@B%GcI&&F-jS?^b|)<1W!G93+3iR*5g6@an-roV3tEUdK}5Cqx%yJnP#@ey^_pSPpxAKX&LYLr=MR3%Rw`X%#Ul@P|wNZ8-pkv!(Na11OF z+h>N)WO5@J$~CWL3nImCl~ zT>BGKWG@l@X#t65NAZ>hu*E?bFA_W3Co)o5HVTnmO_=xL{oSF1fK>M@ThL60n*uzV z1$RIEy;h%9`80yTFMD|}A`sb<3Z@$8gqmfXtpjZEnYhp`I)?p)E1lg9Dt(H@KjvMG zA4#t0sThCVNuzx)qSUBxSW#(hT`aLTZ*9du&?#(D9QB@71GW(3(_!|jJ)tCrH0N#T z38(7kpX6U1{n5jizKA>=dW9F?MLpr(j~lrn;yhVm+<>ri}SF%{jAJ0Q?jS z9U0-dzAOy3IT@na-s@ucAtNauGgqETW=}Nx;ENbBQx)3E^*u3r#e#!Eb{G*ws@n%4 zGl)6~?2#o78ViGC>;)_g>X^Z%fz@~OYrMhuUR zGg(TonUQ=i1hO2Z1sv;$CV&^wFPAwp(HbUnO%vbwjwQuRsm+xPs=S1!?cvNd=~2@c z-Yd2;3;dBT(FQ*0zrGMdm&*Nv2y`ZA^114NOl0fjC*weiq}UWtz&(-|MkDG2$tX(+ zh}p1T^$<{cUA}J$!OE#IamUgF z1-Y=Gc%JFlHF8Qudja-WqQ8(=qbaXV7JIXQd-^U7Qoa-SlJVDbT~DTXp5CB2A5a#l z(CL#1c@#ElFAYvZd2Ru40^T5i&@h(}GsbW}NoK*tEiX6JPiJR-p6<@jXC z^Nc+U+y?l3$eI$ml{-VTRudG%!36#X#jM+mca*-xkc(~hVCZ0eTihPi8Q2z}2M_{ROXYqh zxqi3sZ;PE#)Z0hZU!NUMOClFL%$yT3t`R6{z{j} zp}dv;Nuc@!+-709#M;OtYvoc)h}=+o;gHPD)gU;uqn&OZh_4c2t*z|l%}>4KQrS}v zAU2x~LvS^xl2z&_GJod%s`9;gib=bV43(T=;*e(_k!86P#2g{7R>F^6PN4L8n;9iUis-tf8fa(W!b7JVA zajdI{L@_ETsEwh29F^oZwA$xY)qww7uqbwsWDUa~W#;}CCWw3T#&yYgh@<0D(Q`Qo zt5odYa%Yp2!C>v5e0On}9fx1RUm|teZ%dFE(hB+Z(Cze5&(F|LHde^t>yzzZ@k%{% zBdIU4uHt`;A-ux-fSGq4C-`Mq+2+c)w!c=Ca-exO^5QCQ>~U@vwR61D?*$ zwb|$OI@Xp-vp7*(Ze=8@9f!L!iqgJ2^fC`xo!`zN6phijm@@t?K8w8kb4gB;D|h?X ztC6UvV$#0Ei`_xkcXxL+Lh4SI~|wG+y5QB z+q;D51XHMZXUNa)w%YuecRf1xi?c?DAsQEITK2Q)2!&&D)f?#&gXg>6Va*?CS-|~n zoeXLn$n64ffAMI~yWz+p9Efzd-%XTllKu`x;;&BSKcvm~L{0KvNAT$7&aGaX)8m{N z`<$$=yiB%a~dvP0p)&b+ZfKhyCh{nvF%$h+MGKMyWCj z?BG(we4(P6c$ipXlyuFB&Z|{`_x7lkmx`RJ-oMbrg;%fKgYN-Q+p8)ptsJ`c!x~8g zOfe&l3r+ynyx-zMr(ax^vb!Av1vjV zc>n_)w^fE2E9hE9&vvDFzfn)XU9r_HBT6nXm+rrg#oCN_&h9CjanZqdblx3APlIElzT&{LW@?}d6sbnc1iU3G0D@7Zy>^dEE-n?9`q_|Y*B6y*h zDF2r$-O+`ojxpn=tWK*h3|Da+3k$a|OJ>JdScxVv%>D#3l@YXa=5Ssojc zTudkEuz<|uxtg1_m^f1HVf3SrRZ$U0tf>54^b+|ks@2?NLYV^<0X0Y{x8v+W9=3=z z^}tTsX@ZLAeJyQ4;+A1sJ%T{I%5zhIkh0VfWb?!X3iRn}-MH zL^BEW^MJUIBoLNR>WtU9QGbhPS5KRPimi1CKhbqKfGZp)_wD1@DN-ZH+C!bPhworJ zw3Zw=x#NQDd(MT9bHImo^F+C0J^GQtX6h;hX+X{7sMrD?Y&nvk|J-s%w7bR~{bu#B z7blyynjz4~j4!cG?Q>c6+Nx`*9Y9*AMp3eQd;H5_-h7%$dEm^4S^VW1_Xzt@n&rwY0I<_(hlf)c3(syN^lGV+vdVF;v7;?{5FKc&X;(bOeqx!o zu0gjl45lP>(cHCmg(s;j-&8MVaGEqVa0;>$DK7@A%&H3WJJ!Q&H}j~7(Q52xaI5!W zT_LuLULMAKuIQq5Xu88_UA^h+DD%8~&IH~$dqaa;vp4*DEpy$h(qF^Sy+)UNqM43L zF7#Hui)J(Wq=mmA6`pt1%pqHhocvgZ>&jpf4IiOfaT^@eM{wlCe%BnE^$7Qrqmqk| zsw4@1azZx3qmuw;(wMaAm)jw89Ya!Q%n>lixb@LxvD5}-RQ5}%R(B-VkvAP-`+}QY z*SF3DVj*>e4;`uBF1|lU(^96s&_n80Y4cQya%v0&PLz4-s9T6FW8+$vn)V zEk=AH%2T5+L*p0sjCR%HO<{QtowCpEU|I@(n)S?Wc6-U~S0Q_3c?DZOtml zRE^GuPaE>bgOF>gley;CR@l-Fgvl7~T`k#YaWu?5FIu*j#+O=byGtS`mVTp}=Am8^ z#B#{(#9-VQ=+?$tvZ;83eT~ZtKIpr z&atoyfENd?Z%!@hOr^?^h$WIY8*|9#>t2jji5xO}k{Q^>z=O!DZ$ck)&iqoF^#XJ4 zTyt8R#b{&sM|V?M$rh}%VKgTr3~ExbO|6KGat@AvI;4rv6=nyAVffNYI%1Jb9Njl~g-O7(h3PvcLSgNhgXX7xxp z{c}{N`ia0_?fcQ!p4DE_lHj`z9wWL_$RqHh+Ocwyf5K5eQ@iq`+OXtrpzruform6H zf0aLM$#mB2QR3DE0I~Y^r|p~2J(9M@#h6I+p-kIt>v(4S#(-|&!Hv_}AQLc}pTNchL%Gl_m7 zc#=iv`nA&!##XNQJH<1WO3kD0L<3y2PmNRYi%T({ymZ3VyX_Vl4^s}#05n64sLIl-&Ggf@uoE@5orImcg0v`cp} z=eb`u?^LkAL{++UWEsa=&9c#*JB;IKH5R?@YZgW)+POK!WaD#4%)*N8SbI{c#+)dnSD-aZeil-DL$Hg_oEE!4XikA+> zIkZc0e|aQ(I)mD$mch?+F`%ACEW@AaO(8Zhtlv2#{uJ(l!$pjXxTbJuz4SoQDp|U& z<|jN;Ye5Musn6Dhaq}3L+Emw9X$ohpOqW(v9;c#cUu)5<6=Y(|w-t?%(amFa%6nZ> zA{>p~2{lP~CF(vc4$dpFD<~jU^4%Gw*y}Xmq{R^7aysUksbFv!eD?BWLU21`w1rEv z8B?)AeD!`#dRJ1B&hBYiU6|uJ$!t-3jk^$w>w`X4GDc}Jm*mvjVGjxXsVj#=DtpC} zM)^SF@~TXYIFiesLJQ|9t-DgG}^35}5P&RJ)i*5k=dsm4g z>FK+xqQ0%S_exjfLS6lU?^(2MP1^S}Wz;4tWwnUQDH#KzkF6`Uu}VG8C&lN)vqr++ z-8}XO3{T2G`qa|rc4o>}S{!|y*NgPad7!;`?+cLI)MLx`t*1^6r4t8IZ(`NwiZv#; zWqTH5+n$vk%G(yJTXQwMM|ld6))H}^d8lz?_Vx`o$0pw5IPOKozWxgVf&T#Ns`hQG znnu0%J*VNP#2Z1AYA13EewwS#0P5%Hb zBZ|D&G<8=t;V~1r`!RyOL-&OQz7{1Xi(;oNHH~CIvm}aJHLSU z8?-y^GEA%6&cG}E;e(7H$NE)e@>Y~t&7M0MZQPI9|E{8Zx@B~N5;ERZs6+zDFt=|;-dJQ|WB%q~e*7_NkjTfT!Qby%Ai?@6nY z+2>m9o3ERmde=PC=xY|yn$KC;m%id|+;NIIKyG=)Xt2`&ahi6xT$&?xe19$=sjtqG{ksR54t^hqQYf)5l5#qHDOth z6!+uwrOR+qw&ZS$f-}uE5azheqo-ebO#*$!Is@|sp891k~6lP<;Aev1UnH#ysQ^iA#%1nTk&q|(K z4KgVif{+%MEw?J>C9>|+uy{E&oTGDC%5el?l@9kNjwpcV zG&uGgSQw$r3L=xR*N!|c-g&9z>Iv*4uRR86<T2Sw?nJfO8gCV>XChI@Op59DsO5B;B#IPZ3Me_P6w}y;23dy79EB7nG=|>V$Rcbe za6KxLu`)SJgpf)}3_Efvljvh2<%%@lE`6%4V@SJ`U)juxT0C)%D>)@3(WG6bJ)~0) zn0l1^wc*u`qiiHmMD5#()JQ{;mY1^B7 zg0M7T?#Sd-MXlKqZER!fx?QAaB}U+S3Z*S>iBfFmwH+z}3~WM;{EjAVZ! z?+4$scDK>9UPwMt{3u|5tu-X{Y|5&fQj}5YT9<&n9;L>dZ!{}#lBq@G}Kl!00aCVc;0q~A4;7|a|;|~^lVhm1qzGYWm3*+(z2+od4Gyw z*YrI?Js()#8rx0s%gZFnKa78caJp_T&1!oT>%y#g;j!5K5tzy27r9mQB4EqAJu~TA z&~~VqhGQGyB+=A-F1JfvQ^emc-z!p;Lua13tg!Lql=RrkG?SewNj=fnOsKlaoMSHv z=M~pC`_|Ft!tRGF?pL{Q-mpFJMPnzfrqtKEOB$%-cU)qU+d^Axw2?jZa@#MOdsaj0)FAG7Y&wTchoISP6#_SK@Y@gP+Ax~Q~*~Cq#xg!1TrNyqE_V0uu zW5zm)^f1)z=y~{xiRz5u3zgiiMm;OiQ9Q}L$zugn0!C`>p^)jhg@TZ3WHinP#0j$W zkO0kLByAREbDUJzru7_GYVuBKNOv2GIYii)q$ch?2^~6|P}Ry-MDEBJkO{>-3b_cz z{z(*jKzgV_Nn8ksc5+Db#SKx=}8H)c;a$$Gms8xSa&7+ zJE{g{ewj2_6MLdCg^9*SGASY6;pLp<(9oL^q9kV&MRyl4fk8OxX#;l=!Ot!P`g^G|x4n0bYj@!c8#Pdgq0mwg{C!w-;IyqKJ+jIxmLEu4zW7NtX#E_B{zaS|{)o?Ul^=y0$4buz$U|Nc{U%s^ z&r9$hi7oZ*Dl4^Rj_GicN7x)!p@*)Xx76`**hfZ9EsSrA=GK1<-zEHJ5wkGe0g=11 z`&L+q-L}oL__ZXW{zn_|8A9GlPx|Fm!5uy8nv}0I(#NmdTcOl=CE{Ng_@D_(87|n7 z?f(Glsf4XoN&f&^nPVc}7MGGb#?RUgK+2}kTet7G=y~hl5?H*@%tj6{xbIUX&8Xup zTM$}E&RZbienIuDV&2A+is*DY6k8CJ)Q$~$*f`oZJe*{%?0GJSpi61ud38;~IKI&% z$s2Q=vFG)#HjOvT?tA!((e`R6>%2>6x+b`GV!=k($EJGMr%pDqJZVbm#ynQX?8k0T z71WW=)6}hVXEx3O=}n5n3uiD4c4v;B_^DxI&HPg{!Kit10<3ayYbI$EHY=0|H3+A; z_q~j^2m>^hfw+d^Fgn#-EXOUxWS&PEpa%)#?0Zy&#`&txkVm~c4NJK6kQo5TrnD2> zE??#OSWx_gRRzy1e_Ch;xnsa5ns!2W=rM~BL8W2E+@*O5C$4+Zq8nus8v-%TPAFuy zG1P)b%zqjZcNrN{Nj%ef39*rG4aqbucMF#zkOdg2aZGn4^9DWh%`}4d8YH5`-%&{! z%{G;aBhK&6r7P|S%^o%w@t(Lp>LYRg0HYecD10d4pTy6sV*Zs2LpO29y$n_%exoLa zt^}T1oL1Cl7%cPqhgmimB~nu#l$MV$@Ti3x!tjgIf> zS*m49p%t3RsXF<$3>A(rDd@B%UPk@Dgl#6b;%N5{c@;9Arm=|=EtZO<3n9nz_N=6? zXq~h(=J9R3Qw5EI&tXaES259P+QMBx0V}xkiWII7xmx;NMmdAR3D3PbEkzj`z87sm zd)50#N^#QKidvnpw`l=Qql)THKBqHIEl zVTN#Ma*AN%b0bmHA+wEyZ;>W*To}7eT=eqi%IwUfP-5o{ao@Fhsa*Ek)XKY8i54Uq zvUyq>xoPz?^_$sk?PIo685@AC`39wTbV)7r5}}A4!4!TKT&%mCrl~IX+=SqD9@U~k zmc>G|$}P{`=^A_QO1z30g01D1X(lYGM%i+$ebK$$=WvRg} zvb$h2Dcbz?29lGEu7a&UZ3dR-plfF8OMz<%O;1X_LM4h$UObLCs%_rM-5gY-2CpT{ zBy;}&2`$c-tVv;c6GbqQ&(FcwztfRXP1<&6MnB%6bjJKLxogi6_=4qg<-Oawoc7OJ z$};!cHO4DZf;}8d`}~r2umj&U)TOP@BbVJJzHuF}A;2y@c@=dUiZi5~r?AaB4>8n( zgjW4MD>_lTxmBmgj)zZm*wU%_0OGw|JF;x@YsXZ&oVe50NX^s?(?d3Q1sN;NXHJ#X z;&x7>PnDD5jr2)yeE1~7vw9Kh?OLbHEzF<7+D9R*Yp~i%(W;zzjHBEG*WQn7aCGgc z+ii9^N(anm{H<t2^^7ci1~JyKb4(=>=RSk-r|l6cBN-d-U~x%QK%=OE*?S6VVB*CFMqz~>^!d{S znKV(k`W$obQ0A^TO_mlJHV~sUI*1e`SCwUtki3ds)iRYQs}Qq3M?F0#brR8sB)btv zSaHons@SDXgi7w?a2WTjookw^Ea-IQwS;b9n~!XIR!*a4%82{zQ*ZjD8R=R^qS>-q zdn96AUEHxdvybUj?GclUdKNUhvcEi;!S<+?PQ}8T>Tkub!yGs$%tsw69PO#PrmQ+| z5L-MX7@2sfRT$kgavG)6&odNK0qI&QmfXfvOtv>Dc?4puRPIWoO>HEke9MDFt8Itu zNnA)zQ&Q_UxGFaybddVgx{R-3Vyy8$r9WsjPoVoq82rS6QtB3|uBN5Dmk{I2Y=4br z;^$nDwT(Hz`EZhtdqn@;j zO4>82)4W2HqNya12U@iwIYP$Wrm-cn38PX+T5d(gCExf=XJ*?PFejRYCc2G57hu${ zuA|+%1ojn5Y)+aa4XEuKT#v0jc26SgFs`at;l?RBGF%Ymi&0{&D~3VTdRB9HS{l)O ztg2N+C5sMNfLD=<~2x_%V-bt?MU!M{k$BTI$==QyXzY?3kWWQi^q z5LNOv{VCXYF&^!H-6VPCml?-;XyCa<8HEHPGT`bO>(u2w8As)5W>BoMI}~d*)5L15&q&iY-0WOQmE-3AwbM)A(DG~Enrxc>-W!d2J>o#oMe;B3u=T5}6zU|* zDAbfFU3D%Vwbn6uExEfD`pX}7$#T>?TY>1$n)woDwkUx zXYjAZf@^~bmvy<7q9ArTKc#ut98-*se>K6y#_`{o;8dy;`wQ zmDbGg={Hg~zQ>ws79idjxnzxqQhhUAn;q|DS~ifwY<4aH>-DJSOkB4!Y>E3=+kiLY z^`@9LW4*DrjM|}O1d;v~qDF0M6KS@t4r5vx6^y%&57BsrSd2(-~I~)-piYk>S)TI&^sT9*;%8OB3#0Gf$s*?^xJ7jyn0AuM!w+kZNFviP)f=^Fc&P|k(8uk)D0Xp%T zha*IY+f775U50qi(v{m6Ew?l7A&no7N4-^nw29!h^Uv;(epQ<^j-|t=%rJHnLS-~0 z_H7boMdFfVv{IkQDb6^p66|8_)U9sOx9-$uJ*hQgMEVB0+v7$uJqe%j9nK&M!wIwT*mr{)KS;h=wXm4G#1ga&+d_a_hgmkdjGwJz?F)46u~qd&vzN+{=eJtui@BRcn6KfH zyv4;E0%S%mtA2;(*bc+INX$ZE$W@jqOB zH%eP*Wid-|aO}NRIpY;^hgL(EW1IL}tu^kSs9Q@TGbgXLB=ZlLv@U*?0`Pwpk4P~=UhG}8KOo3H%$YIClT<}kGuNP9!PKS4;+N2Q; zsyY#QEUi~+ zbNATyr9w`u^w}EMrl?V~_?fw{-VHOu8lIxWkF(my-;$d2CoW1-Z?Wakr|m1k3%Wj3 z_$#j7CyJ8CA0&veL%^4${j+L8TO0fo?68)uFvA1wEMsJW(Z39JHohHUr#>LOmG*}YuV&3>Z&fxJHepPXm zwi8IozwjNN(os|&YHmzQDV+89f#g!cFx5(+Nq8H4Q5A#NuGfnw0KbqisrZ2~>g!{A%OW%wd*wZP>?Zp)?<9aly_-7YiX;@8#ss znCyJ>;`6)3n!|eEPJi+vSD_Du95eWt_hR@q`zi|^rAB{B@ugJsR4!^m;E(itusgoB z4sDwIHDe-w1!_q%1ZE?*(yQ9GtV5dI9djblwB&Z(o#93;SpcS@VIUm~^6Qt!js)a-T! z3Qu9$v{FWLS1##(47qj9)3bWhbL>i|-07^mF&(%7F4Y*~p||PMFg^5VUdepSo^faw> zREw(cJt-)Ovc=YwX*>ouQPQ6%uh_$X1?kNpa+#qk4VP?uIj38rD2ab6b`_sN()f1G z{^~9bCb}0Hv{1S5q;e~SZJ_q7)jp*O9`Z!J#F9qGjuLvIxsYrSZn)_4lUrV2(>tck&2q4W~biQX#RijrPsA_?I7* zE>wXsy`{I>?it-m@l;H=G&G+nF5~-Ck1Yu#`uhr*E1JSbyJ#B1OQ*#gw=f2QIobCa zy9#lh*EnlZw3|zD+Qz#DhW$eF;wWNO;ubva?f6kCHu;B6jn^bm<@&FRW4ycFZydtl zsThRkILYJMvTDt?dQ{&k<+w;&Un94Llf9qd46-r_H`q(AH05m8s)E3o80Pp7#urq zo_lU<=#a;0`=lWSv?_n1mj7Y@&;@ALI zxVnvDrGG;Vz8A(tqv!tsfx2P2_=jvGQd7w);4e?cv7rYpRC>6Xaz;`>ArB z@v^t0t}BjFk~KNmtUHY)G9G4KW!Q!E`G=Ud6 zDM>_6QQJry)g@pjh;S;l6C-ub?v*WqA(lLz-;Eak{{UvGRAjnl4x!+?N6(iEjE*r@s`Me! zXf!VmM`duX%aAfYwUnmbhP2^gmyL8qz6y|x5OYN~?p;XeaaUd!oknsGUe(pknaJYN zO6SA(01>e9?MFHnD>H61X^@b~`HE^wVKmWE^x_nar-BC*>@H*HFBh)Q7V8Q9+xf@- zL~8UQ@S~1j6F*a8i9El!y*(?%GM{JUs7C})sf2>0D(r@f_EZ@Fir@mwaR3T67Aq-izw(M$h@4k z0^`<@T(J$em-DH?tvN~NxJ?X`HrF`=r6(JO?Xg~4QyQOY94s{}l%Z9Ye=ogep>tO3 zjhHO$xDt9n)>O4V%)2%*1DHU!l_ZpWH)Pg%a4*fGnAah)=HK+%1-BRE+D-AY$ z3}@Dtvm2P!v;lHY6gXI1_aSIcf2B>XY0MKs!x$!?C@BxOf%wj9Tu5>ymIHyG=Tx)> zAp{B4sO7k&A}jldH0w8>axeiPXRT{ampe#Oowqp1H4B|q?rEiQ6{(4Zx+(kKq}QPw zB8uiYoqNke=f8-|!v1Dak-Hi8&-1Q&o7n1uzNaVfUs3xn#g-0ol0fh)d+}WOl)avZ zb`pN`K8RWOC~#N|^&S5J`qku1bJ#?;Eiaa3f%wNG92!@!oNmlSOKYi`Ibu}CS+_yPo-XlF&vvmk00_>$Z3?>N@TPxPZjW%br0~f-0I%K#Q|DZEsb+(6vKt zsmC4Vtc#f3$AU(EX!c4*s;OqeT_aYDexGp~N&HYq*dn;<;X4~fyF+KQYj)ctWpa2V zaa>M|hKEEZq=;mN8L`jdNh_9}g!?-VcN|i2?lmBLWo7w>am^Z)N5&0ssfNp-RGWLJb}!BQbIGtvT5oq&k;}?IeW$>30umIobycoUX6o$X3;* zSc2ozy=@woF_kmoe~1gS$G#yQ$gc4w}Jv&u4mZ8cjOoxMvpIQ`_;;|RnA`VoJPZXS%25!oafR$l2$banMroE=wW-k^WFjo0{)@_x_E65~52+cP! za@fr=c~`z_t}$78nkRH>!KlVUt7Gx4V^D`ooh~DkkTHt2E9i)E>{Xs%uZ(aiT(#6{ zIu>Af zOHHz;sbT!{vOV4{6}r6kGv)= zob}19@hLdi>Y}+%rZoHZmf2ZP-sc{p{AS%S7@hwBfP5Keb$M%X46PxGU6K|4<}yDT zn5QXO5niI97jox`^%ykSrqM`H&2r=b`&2L|I1BoO} z!*R*S_)@0S7^~2oXK0qJE~C^gMe&+Qc7E{0-1&p1fBMx)xjUIuf~6iyT+q~R7f*`e zrveDx5GHv~$jkoE`(D+gy~OTwLJFrZTON1gPl)U^xovcyVV-2z^7QiKAHoOssY3HN zl?YO4zf;KVBDmHyh;1NJW|hLA^&Yj?PM>#_Ea!%YD^JKyRuXU%p)fRNJg5BV@Nfi^L55v7`;qKUuYctb)FRj6>={dR(?*lCn zJb{YlsZDIn7m;e~MgaNNr*P}A{{Twko*Sw+h9jhmxx)q^f*ZI#mCHET>W;!h6t5$v zH3DUGyWxL9YBt<5&O6|jN?4NAgndcvDW)|n)42p@O8YI#bz8{6SdDLB|JMG8I} zKZPZsR~*XV06NlPazFt9H(o02FEM6>Y~a+muArns(C3dzT%~i2*-6AXhP*(WvgVRS zDG*N;xWf^Oc0*Tsp{oooau4H8MGd~=iYO=U)X4?L$!@YK2NrTOOL_mrx9K%E+hJ%<-v-8DDi20C>Xb&XwLy83<1RG8%a*q8+h-$fPD}jq0=ur#Y ziS6BvdsA^}chFC>F!rf&Y&nG~aH@8kd(_$V3#aN4OLBm2`BfOcNGMWhw|5 z=7zKjgd@v2`qGFtNW(nUTH+Y2$bMQ1vg%rb=;vt_QIRe^NerRBrjBA7u~u|uagmTJ zEK+0v1ag)G0QI4jd+1JP+_?0s=FnWW)Qp8HOQ_m8B%EMSmEEi-p~Cpv#x`1PFAkck zJ=QUi$Y1`wcTmFf>h?0JUzbaqRn_IxmPr-m$(G_@-drfJU(5*$c|P20EgJn)yPw^>z@dGOL)4jo-J8Hl0dg8Pp1{i zrz&$z8drrn^dzK9@y_zdd_#XG6ZW{HQzD? zJ03;h?IG^;okm35_f|#LRL9K0bCFxdYp6~ZHNF>1YjbdHu5F`{E@3?X0CbLUDr&2Z zT_e!+RA?>Qc&2$xUrtu zn31^&;giz1r$xow>y1?+oUw--4!*U{(X#ADGK;louxxZ}OLI!#E3*T|4R;-eq=W;y zgzPXb3Y^kx2E@fZ+4#ya z@qfl+{-gKb`cU=l()c6jc@;i4>VBS}!2AVyHa#E;DFD!U?LyoE&j*o7jSLcCZ5?`3 zxY{I-emc`cjysJuhoFue4El3Y)qypz)nZOLp$3Gj(yBsj43i_827njq&M8@nL!Gik zE89UNBg$7C6HU7fA$Mg-Dh_C{Y{tZ@+!es<_439@_uIqBA~PNLP7ZxLi4Aw4=)Z&9aaV(OZerjnq|Gdtj&i|IsYN?MgUBzdol zd}n{Dn^>TKA|og7V?*2A*QZAY^lad*h*9`XcSVj#Ui(qI!-P1AM?ia5rwH<^BZ4i- zw#J*UI^oGXnfR+}!6$OxjCA{{J{#(0)E_!cvEX&*ipH;*tWs#>O_1>Jhijp$6ZQzf zmHz;~=acznyxGMzdK4Ebx#yo1r~6Nar7&cmm3P)WwmV@Xh|!cUmT(kxtZHa<-stp? z3*H#fa>tGZan)BkDN5G4-0AnCP6HAT6~#2qLY$3-n8wOOledDMu~;q5?bx=2HrS#e zayMY~HA67&ZrUwXjHot)f}`%!TihElH5)aunB1c?29Ps#Z%q7)j4OY6y{ephgk6Pq^4Xb?xxqa5`qHvPa%CBA3r1v+ zFDK+cKZsV5W-?guBSYr$O&qLKitIPTC)D{58;%LGZ1$il_h}>0Ztn z7K!uts+{vQ^$AG3u&_h(%OQ3j>?bGn$LCviMlo78X_BFGcog;^#_-JFZkGE|Bo&r& zk&)1%a0vG6N)L8vQCTExG44(Ps%Cb%=3WN9SNM^v!w?=t!?D2W^`@1Py+o~JD?*d| z3&l4Ox{a2%?->68aGpP%X}Tf#9-prkTWfiv>Lye8RxN5(E!s4j<{d{BMhMH)FVjxD zw)2QcXMK&HfY8;=Eq#fa+REh>iVxmohF&WP(vM=5Nk>C3QqrWiQ#5iHjCJFXE0(4m ztxlSC)U;-4P}nNO4!@0Zw9WPr$;L|(XimdSi_JWMIQ69NRgwTfIV@>eg@=GZI5{5l z)L43siNddcf2BJT_t1Ms6E06qv?1!YAo(-FC$$4k`;3^3e4?{xsEDjQydJeyNKBFj z7^iegT8x+}ZfaR+3~;-KF~?dg18!I%mS0LtXBUc0R1R>_bL1f(DEvLZ`A!i$H)gA1$k{Ao`QZ##rbyhVJOi3d3|4cr)jfj5 zdyjBvxFTd>w17FPOqN9;+ni&Xi7iHhB&H}SZb=I6TvaWJY#bQQImH*SEkxk-skkwn z8iA68TxYqbVp|&M2Ts%tFjgJ=P_$zuLY#40ScaJ#p-UW6V^2Z{-;vkarTG+|qtLe@ zf#!v5vF}~fXhtU` zOhlyYat(1iT}Fkx)_wp2x_J^X=W@}P^=rQ--aR%FNspNrcP5~%v@CdP&88?=2Iq04 z^(5`r3#3OF18ZES;N3dbbyq`5Z&S)VVPz(xJ?kr!Q#&?0lb$PzP~7w>$)&mH9wxG7 z&@SxQ44C&0{MHj)4w_PLbBNOi+y@(RoMO4AuesXvS2~>*XHbowmmt?X<8w$$W2(}x zytx-Fahl_)1F{o3`&m`gF$AaHW1gb9Tu$gp`WLM(SkH{dl5zADShQy95=Z7p1c1u# zh`8v~>(4ld<$aIwgR96RUcM;xDee55PiP-~n>rCVqmza0fbS2X6fgz?-!@+59S%H#&6 zVe=7Q+DKm^Nnca_1!)N0##J7S^nC)->%jgO{?Qib+NIVV6^Gr6itndOvE@#6e&Q5vFW?FqkKyY|80~sJ}Wq72)5iE=kTv2-!Ym73!>@YN( zhhf=c(~6Yt7O>N}oYTKS*i5(>?MWdp%O3Pt20NAPeLo5YmBgDq+ks%V2U%K2S`MFBEd1xYC}~G#tW&$mvSK z%rBM4y)=nza>fT*9-4*3WKQCe*HPcF+MNK!F!Tan-lVL4dvUmJLe{{U3I znp=kt8gmkcz!^LW^f2@lwMQLl?QBb`&HanuIWE}kl1PXLJe77#-^<(Ny3v!da>~bD0)r|U`!wh3{bDp))6=RvAEd&^?Ce>yH1s+^E?%nCP zeFqhxMmA~gN!`gL{b@8)XLq7NEo{R9^Qai2-b9+ydClS5e=mtV^4a#R<+)3_#a!Da zyLWv(mKOfoA8CMef2Y>DYAb4W)0NrBc!NxNrVBJH8mjU?y1(IE^M&#{TD z=8@*wQJchGHHgnBxr);+8z02ot5+2iLY3W-?5LtRl?OmEQDI+Giukj5V$tBWEsr(# zH{n{+_>oIUvnSx}1I=k&KwyON?rQN4?8+Mw{8xa*tyta!EG31aKTvc1YbtKc*=rIF z4_*UJk4>5X0C@)>gTWq@=8A*4+ne9`mRVk*!tVixsOGa1TDzQg#>IwRI?-O-=2P-q zr&a#|Wc@`r?h)249%HR)HwyP|WFeQ!gmxuyMB#l$88xBb_(xQf#dWYTHu@=YjC!`? z`d2ero4rdq2a0bTTN~XL?FK;eAsf{7{A*O~iIUZw#+|I%-ABIG>1ROOHuPY9>851h zXbB;ca!ZZFs<$-UQ{0O+u~PF#wv`W(JgE;%bgp`sXvt`63i6B8z_^B6SMujV7=A=o z1mNMiJ0mqcQCe3G(z9lzbv*JZG2D4{=mrfgTa67>$>@Hx`9{Yv3NXTuhAfJBwFy8{-_FrLM$&~%hm#}w;195u{nFN6^mWHQ9O^*q(Z*v8z?QrE|evmL&lpu;BB zAQ#7PU*%Sn^(L;CE_e<(biWHvcOhh3pOP+rhqJV^1{EIL)Q4=&kuzB|8j`ck;ux)gjrZRXzjoa_fRXj+}k+x?qPT%0rd@lN4$ zcHS~{dvwRlv2Ofp2f1-P$HSsaZyoA-g9lh4w;|Yc4bNJ`5U(2>QFfKe`c|Q%c(YQL z)+M@2mG}-utXXDGbj|b{8*08G^Ym<%jw0 zSxP5FXJLze@Hhm0(SQ%9wMQ+DIm>oZdCe{vaj<~Cw5(iAsigZ;3uzdM7yV0m0Zzor zQX8vublo#Nb1&Xtep;p6n-Qb~W9Cv>K{;X6dwWy4n?*TPZp1ds**|)%FtE*qcso_p z<0qP>sf$kMxPHxAWwer9>Q69>$!{>WJFgh}b6uEdrtW!|xmj5D{{V=-9fMx*)c$J~ zxPlgV*mTY_j8~&Lb0p6y6**;Y=Y)RC&`3Te>N2Sf6fj5}=cnEL`J|fWLz1*LJtN|# zt2x)+6m(RufJms{$G^YVis_{k-OT4cNOGd@!L2tIO?doCBknv_m7d7XlCrx!GH;e5 zbBtC6tzC~H_?@c_Lt0BacFJ3(&rrnUHPJ>kL08>JOYoW>F4lJ10_SM&%|%CcL|3>= z@ofk8ZIqZfS;)`TfBjVu+}fVZ^Gj!AJ2503-{W0QCNXUuooy+T;q%EBSi(22uLt}q zm8(eBFWxy%8*9RNoZvy^^>L7&(&LgKqbHhcLasfTcISaZWW7iow`34% zdX|-j#TYDo4{C9UT(JxzoYUBr!w9DalU5oW&Y*FFNri|cm2h%Mq}_&)$QWRd)hUih z{Mz`<&&CfLANr5qf9XTlyHDU=hmTX^ey8c`6NShUu-B8g~HParNStFcJLT zy(wIFu_8J5s^%rcczhnT)Plpe1IZ$blVB%~qJi0>70&$isc%u(k=zl|ns?AFAOpWj zcCeV`K*y+{HV}Y@m~I(8C>^XwnFo+)M6pT5HY*Ak5syj%AOJNMxCqgM)`uGf#;v-Z zbJB$ykC}tU0OFfg5@Vnsj2sFR2dOJ6w;3GMYT{=t;~x-5VQcn#MbySq$*EKwdk}68~pdcO6QZp!$N=vtNOE*JE zcPj`3A|OaeiR4Hl2t!GCw=={rz%ab`?|I*Etv8;(zJKpEtaY>Q>)Pj>ea_k20v33- z+sVC?B2l8u$rTS^wGzVidM`)IEN>DbLj?V`9a%(7Z-$@R4m1 z{^9QZMQ(-B{nITYR(b=hH5)~+zKA|AS61+IMC40UXss)Awa`&b{rCH7>md6H@ho*$ zua}3R+mb6G5+^U}qdpV(Flh-DLzh{4UzyI6n#tsI#mPdg*Q;2nPd}_jYU|jfPr}#F zEQ~j5UY|NlZPzQOFU^`e`ng*NF)4dIlu|Np?B*5=e3zTX&-0T=H$sygRcT9Qb0*Zq zpvru1TjZCDkphkrMM(X2#^!&tunYq49eu`45vbU)(knBUU*6k7lO&(;_ zzsR~?NJsv{R2c72ysi2}CdFo78se<7W6zmg))+cGol5Sitoh`2x*M4Z;!*9TfiKP6 zc2;82T-p&{a`N!B=8n@`;-A~^W(WEUzEp#712r$cWLhFwKe=lQi2{yG*tgxPs4wr# zWE9GsCHjJSdJ^u#UT5U?iKv@67nfE|c%~?%qF?vpDarGpS1(?zOh1v`zS>kit^UK2 zl`G}(H28P@9G=NIBu~L$eH&U>@%7>(j}aq8ViHl;CgtT_dHah?%3_LIW+StttkUSm zZOVaeUk(2~=XRyvhFzXp8FJREeMBGbuNl@Nnb&^q@rl~Bk2m#k%@!Mb-+(Nx@A1MI zdBNnepGjlWVqSmW-8J)6mNnXgk_+h^4PtsHqV_0)r=RFmNAE8EIjM>FO(8Z^e zZL@7fpP(xz+aXhNs;f67QHD`9d(CNx*)O}-MuX(v%i@vBfrNKi6H@y_oQ)yX%@(Wf zKm#S>RGx9s$o3kMZh!4l*>fzj+-w$+P*N0z3b!V&!i@!K zi3159tsX~~$ix*%rcI8&<`+Eh4Aecbawc!1ntc2IvIzQ!BRDNtQP;|?cr12fy!FNR z=?pr}tGBG85k;h<;_m=U&UA0Vu8@EI|_f=anQ&a0}o3T!nE0{s zx8F7;&~!M%@`Nlgx-{>(Rf-HV;8l@&@zQ|TALrQP>dUvE8&)?iC}{kgb@G|@{ye(M zvU*%3WAkspD=QyhW3s17;c2JalSEiR+|@E5Kro@DT0E4wuyJ%Ma@uv?!DAAM<0?Ni z)2|!dR_jGPkWHUoe(>BvLaa~v#7Om2GO`xwP??6!G;M%br25(T5~#nL$voss#fcFP zOr33OV-j|Ax$_X&q}QT)&Zz~5d9-sD^VQi#^_$g_R7;J44{AcxmLU0B-L?-%Dc8wl z$S9eznx1+;liiO%4zQr#C}fT7t5^sU2d_NFQyUr_*$=h2T7jdr_Z4HDMN7s7p=-9R zCbuK*y&U@-_=&DBNtE2@9kreCPmiVg%`JtzA74}-Wg`{;J|g5Cesu$CoM1oxQskVH zyL+cNiK$mV@cmu=zTNQt*Y;B2{MYNlB{3SNiF?7WtFDs07*BRy<*$JFJ?q5RPIrv@ zyEnxhF-23wEVU^5g9cf7^`FZeR^4bNdCXoj1D(lMm5?^m-%3~=9~~0SZtL^EECh^ZosXs7rdVJD=No<+{y3aHH1+Y5 z{(LZHou3TseU3UfF4HC|SKvL> zu4$Ha(FCmx&UC@et#E+9-W4aBTVX*+qwMDeGn>qKfepF0nbd8;x!-!0#@AXCZc^-ZiK zc~A>Yt5(geN@NK#@J9EZ4Ftbp8KQ=2Kua7+92|LnG#DM4KbR_>I{k1&2eAaH$n6tV z{@JK1XTiYT#g0v9pEEAT8H^C7Jf+x=&rZ{j~8^M`Wvt#}k`B=kgAO`G`}f zlfSl#^F3NixCe>g74(0cl};oje=kfl{x(Ngs5n1~nk&nWA}8DXCP>@F8F@T<>oLhz z0>MQUI@NmZJhA^;`5)r6Xn(c@C8Y5C8$ghqZiBdncKG^S&d9bYp{8#{q8DDM4m>L* z)96W+;RUU1<^K-M2qWA2kj4b;O-`2tWk!qAfW6=5SwFfm4Z^UJmg^irO!iC~(>NX( z9y=9toZ6^57ICEU{&@3Hy>T?{R(gtH;k{EvwGIAs`%UB&u+bl8Bu%9lXERTK zHX^M4=-!(-igu=ZPhZz)8XHheW`39BZ4Ps=R#$ng#6=vrub!Ap`pQORC9+q&@3&1V z5f}AZCo`glFLrZcWg`E(AebYF?6AB40tt2KBTq!&W*M6tA6|1-_rZ{`GTz~O?$5`r!!&tRK6>}&(JD+Kzume^>G`p_5I4g zYRJyJgL-Twq3iPX_xu4&*Ng7tcITIWnq4fKOcw~oIb>4WO&D65!Wb3+5#tnxXF$-(&w z#lSQ?wyb%_%E`p*Pw`I~waBjUeiws0x9utogO>vbn2OEXkI?739L@|(#$Na%v8*>I z`HQ_)96sf~oF75IjUf;=m&oV=$Sj>`b~y$y)am|FQa#Iv_>zVeF=y z3C8d5msYe!J2}r&`oBY$%$L)p#e?Irfk?P+6neNH$I$`lXuWUD)ofXiM;D$l*i^zY zFZ_+qn0w>M-G_zUFnj;?Pn(cmB>79E zj_vnts*$#+ker#*87g?|@pd&|gu8AzA0M+ppGm}JRh!KBT7^#`s#U15R+o4L!Pea} zzk6eG)#c2!zB9YQ#2%Z@m%$~NaPF;UCxMYzIdyQNRuo!n;29U z=%X&TP>Nl;G0Rxa=V?bX)kco&f$obA$EQ?~Z=swoDK`4PlF#|=?bt=gKm{EFEkaq~(t)}CYKx(HC@31OTg8_2DB zGjg(W)G~EB(2y`L~ENepq^?JmV<{M~--)>|^WcFA6vCMtPa5tpt7 zp~ZlVha?Z%y`f!XAWM>QpqQJ(_oewBl=0;Y3af@q(^*5&1PvYnA)OVUHYsI<;?%`1AL|3a@a6#L+R*!|NPx8qCS z8k*usc14*JweDsqtv9th+)g{1@(=%kg~SZ+%ncS=j;5Nv1ViqLMR_0@KVT9A$DV{l z`RYo9m;44%7^?;_dQteBnfY#j9Dh1h(g_Iqh6U+rKS}+~&L2@`Ctl0%ViL^~^q0%8 zTxcN2ZY-U*g~T)YIbUaKj)!Tk9utAK`Zua(3oE3!gzc@uMP+WnI~K1;|3-_;Bi*Em zK(yMw*mM0rZ|?p=t96lDEj^V}G>LEQ!pN4bnSU8G-7|1n7Wm|R*Zkw2^F-%FgC>+l z?zMX0%FyaHMBZb&dyBw4N-~7ux9%%;-hn*-K=_BL#K?CGkxpfvU$sa%Yrh^i62_tz zI%Va&bza9+)1O}b65u!^tzwd{d7o3a6wE%skpX$zmX>%nhZxU4yWKutZ>{TLTZ9xs zORt7D)**ByPG!frH(EOuHqO@fjoCToM~@yQ4AdqC(lU?x@f1JLR4fy*+z?{jDv_WS z^{%ZWvS;V-M;8tLiaW|-C;0v{Y+O_Oz&r53*`uiI;&xP@%#`Dv!{XQ~CY^<8?KbMu zhw89Q?j2xVZP|Ze3&GzY{c2YOUZDu1RU&br&{#h%4=gtMmM@q=-_+5=7NCp2d>rIg zX_u7ai7AI<1=)L)T4*xP?Fk=Tq>$m;&WAnpa%c9x ziE%G^_a;U6FA#wQ=YWAbgW~|375hf7fxYOyN(LrRJ>PA}+56-V8R;B}xcHfUK-KZ{ z->A6*0s>!r^Vh)0q-ex|fj{6v{^MSwO(&-JI2+kiBL2171htiMT~+ZtEq-3{L=Ahm zdsc-yZO%`At?2gB1>3C`MBio7bc7uET6~o9+Mr!6g~J!(_fT(8*=i-u1_keWm9Ni3 zE2rB-$GOBg^4fu5MDEwHdJP{9OR{yKkz;CYgGKs|9MYy)VXRp|z)MJw3w~6q;^{;1j(#5o9lkVx=O3jGW6=eo1xapgc z(QjTd?Atw`78iy**lAsRo2VwYT6cT&sL%_^~y<>q@e|!GvUNHI8@e(@c&tho>e3o74b@{t}HH|llm^M=_dKAWp6E#vK2JZ>fOpIg4^e4u-42qw68j&8jj`G0;5{{GC|45#FcH=Ukq+IPB`QjI4DbXoh&4RqpkneFYPn zZIT^}Sd`>tr$2H8lH3Bd2Ye+LAyVYxOfaqO5+{!gkC&kR;{Kf#RQ^*ySzcFcRBW_~ zzs*B|(M%=d-e5A%3~S6*Ss(0zA0l=Gs*Sh-{m0IuJsx)JRJH=n1l1UkSV5-(TiEvu zPe*(8q;|FX{I~MI;f%0ZYZR0<-BkwN(vYMgC-qX%Jz-Uj`akjHX$=nm2dEvLuHIfL zW<6m_9Y?w~l+d9N!yxwL*9{0uEOY~UXv{AlraZ;TzeIIi%D<9**k-ljjC^vpK)(J1 z!&A`)D`l=SWA}UN3G;t;@elk*z^uWt<85zhNz9K#I1`!Qr>Pnc&c74io{Zu6q_O9@ z6>o3Maob+jyE2a-4WrnD(&IVJ_UBT<#gXI=E&3Ui$S)U?nB%rS72oupD82}0Yhc{5 zt2;}=L-V1aU0QVk*>y?xt)*uu_Hdkly#&QZ*0=6o$oW5;hY(?Gh6M@{b=rP^TB8x2 z-1_a+m!>&CrXauAG>$0cKL$np=FSDrd=43dm|i`&pxX0J_ou^T`z-|ftXLiJZ{C2` z`0S%f|Af|xL?gZhTVsvAldStM5mAlpMCWf}H1fr;9LfH#TWi_)L30wv(kE*E4#zuh z_y#YtOVPwV04;7ViIzw}O=zPqX=PYX2iIyrpJxS1KR-^^&Ne)_wN4Car2dZfXp1j5 z>Yb&{>4Z0o_Tvmf@38qw=-hzNG);dC?GLxKQ2+XVidhi*CvUIa>#f1SV;Y+qRH5}_ zwILp?M30m%nx*!4G&P(Hyup(E>O}^NZE@a*P)s;B@!qKcEtve&o^AdMrt6oWMwNFPQSw#68jgI3uUz zv5hj%s$}Qi-6vF0(MnoWv5p`as5Trwzc3o#Y7R(4?&4{$zlbMEPw4$X=Y&@kwMGfD zCmdw3RP50cX2}tpRU^OYN|`^lO~EQco#-_N+LTcvtHjE=G9~W6t$VqmO35FJ$y^a) z%A$bjA4i04TN;huM(-{dvgK5i69pv&Ue5bh+{f8C<~Ugo(9A`x9G zf|H-z;`;ACy8%5DpH&(&Efd$@IC3*J#7_4w$-sZ%$q-`=^+k^Q=X9b@B!_JSki974 zGL{g>D`l1ko@LDy5Mo?loG3Ukn2Jw`H(lYGPRKxViYpt&;SKir)yqmDIt;Q~r)FBn zZy$cKsk0~fb5ci&BG%$A9^%*{qY7JHq_AjA{PFLAVP-J0`k$aY!^sRc*IWgS%NeKl zMcQ~U>EB9mSWNbh>~xyudcTOh#c7w+-vtUh8;rB!0^0c{G}iWOx7VIo)#;uSshm}P zu2xit!rHG`!~xc%-dt$Ss9@FA5a|JPbr*r^&sn8$#V%H;FE)viV^LmeZ8b%e4!!Ip zXu59qryl#fStkT!R!=yjyH|&{7 z3}o`3N(+(i!Wr<~yR}1wvvdC7ZjnNNaTX0BiM?Hor(@kSmK(Ic*y+VH_sn)ot!&HP z{$cdcKAV$%eo)5Efc24SR+i_9XS;Gj&XCoEqM05vvJ0A6Kt7RsIib^ljVx8j5Yw8w zE;xGtqbyYky#aA^{C&}yyq3i=6=gwz9eO?4LBD`aA2AU4@+C>uwI?n0OP1Bl)OdPk zK$@`rSazE*s()QM8OK-RU(w%#e^_7pmp|KIpd|Y3SU=kWA)7J~oViX&dLNRTnsRva;b3cw2 z>$tw0P(a^;=86`tqIgyJ1L4dWk5#d;H(d8z=1ogfAzpD7k518bv@U~r|C`3RU4+lr2u&GvUzPTN5 zPF+^o!AkA@Mw#~EFJVMx-ACJ>P|gMYP9c3*=k6tbZ1{RBlEhyF2rm;yE-rUYPn^g$ zjb25O6+PeHBF_ESwQ8*+J1+alSK7PmH({;&Z1=i?4;ua+`fqX>r|5mHk=A)#Y|-53 z4>v^%b>%AkL`)|eX7wQ~BtUI>PR4NCX$#t`c|X_$tA`pKzXA1J{)_erA?msYH8sR*dvus4 zM%xljmB`3s`8iVn*%J~N=6=}5P~!hh9W4~)eJ!ICiER3jEtSysC6(~Od#Zk?iFuXb ziPyVTq0BfRY|!deyB(AY`*;hf`Xl{V1u`tLODit;i={Z7pxn#FiH9Y$9zCtz0Q@k- zZTVH}WaBdBe6i!Dco|ZxuAl;he-H@Y);gP9l;O+bL_rUU*RLpKdJ3e0d+iKS8TY=H zbGM1}I<8DMytUM70v;fp8QC(t&ci=`k?4w-Rysj9HOkHoW^1BuIK^xGj_I5lQT_xE^ilcjMs&NrRhd(UMo`p^!4ES;ord2 zFQA~2DIxNS`kWnl2LhqWScehWPW2J*gm2C*O*jNNjs8Y!18_wMWb5U7fmm$pPO4KnImR{ zN7TrgwXZg>*&7e|223@hEfRv=EBrNAOA}~I{G1;vhm?=Z^B*W{eniBcT^MjhhP`tx zr3uiF*0cOHJEs6RJSexO3{QrN_B#v9_Bt0C7B@ccr zGGQz|jtk`30p{Mj#E$YjE7_#S{0Y39k-8}x#ebgiSizm?9i#Fy227QcLt=4z%G-%h zFn&DHTZswEjAea>L|v!9CEm&!bo(-<*$XB|IKU}YojJ?bQ*O)5Z4cQrWNA=ng=#30 z%j-BAj-r4Q#kFdY7%Z?V6l*X?RPzO!z2@xvDqlkC;i0{rKEXMN?8m{~`+YIxTo&kw zK0Nza<1!hRy)&t_dksvjDfZ5Ek7W4v!=AkSSaVfbf-|I($qu8zJ_o+0=us;f#JmIP55NePA60!*Jc{i?!t6N}e) z+k)}+>T-1G>cPCk4}!Jk02gmo*DEeq527DTCo4B`u=MEFLXauDB>uN~FP%U8pNcAp z5JF=HI1wJ{JM3{~!5R7ZK>_Qu_##0mGP%)U+J34VJErT`l|Oej<*VHq&YV|~xV!u{R!Dm_egT^T#H zDqyeb2h62g_txhycD2wJA z$!E08SDRY@CuXziE2Lx>Hd!0@W)G*rWXM1lIqRWm?khEOGF=6nan=MHHH&)+#WAnPQR9oR#h-wLU! zVfE|4!}uTx_78ZwM_7Y9hR4JCPyOOfr;42KokjI#bsa^oamGL2t0aLIRSx~90*na7 z`eKCQScTdqBgG0>>KJ)NZ%O3*^s^LQpidbE2l^2nw7)o7>grm%JbF&k-k{E39mvbg z0slp)LJC`v=<;xQxgIxz!yBHjoJ5tRoQFjAJIW0H+BC2?=g z3+?eOjK}C@##6aJHCXq_y*mvFA0xB1k>9I1Qq)zIm3$C&R=QUz*piHA5EcdGwQq8J zFc%65{{u@#R)71t0s&n&Jih@&r?;M7(dNUi4s=aOuJEZy&^2I)yRqbkIC$cG11e$! z9o&FyVHc9{JFppX*ePe>{k%0KE*(J&xNB0L-+*4qfr2}4K)0{Q=X;E^%h%50piZChLCaJ=C!i%ypbnm7~Bv%`%@- zn@RSi)LW6E^DO_zVR9l4>$zOKoQU&b#&;x z2$>=+t~c6zSkW{6@HgYVnVm{#J}AVa6rfYe_yEi0DZ0AHM>b8(sw6BTFEV;T7KL{Y z6)Z*@t|DDwRgOP0!bp>Yz9@C>ywh+X+!RXEncrJ(fX1Gwi}(v29O51_yNgkN``l`F zm&fwmeF9whtG6rFNXsdo3t6Ts5i{rS+(rjto+zRnn?9|`?GfUUf%W7HeC96OW8ZVu1ML&vePI`O2?lof}1e; zx(X-hx+WA>@Wk#*Z-RUE{K3Bpb2{J=VZ8x+ueq&Z-R?oh#1tF?fkn6<#GZ+BW??pa)u zR{WNu&_^_kH+*Z?!CP>Sj1d1UP%rtR6mOIa;#eX4#ZY(`90P%(VtV8ryP9;i0FI$w zMCom9<5fO_K`US4E1$_STVe|D!5=s>`XY*!c5>Ul`1#U(Z=icHAi_d#nSw_+fiAi+ zKG~RVH8fYa5SMf0s(|PEtEP{6{3t#u2FNFSfN#u6Oe*u4JpEqR#(&9LsgnFue&mj) z>8|}2vQMEEX!s$k5y7xytNn%lH2nJitKrut(>oZ=l||HMz&=$Qh1NB4WnYbn6MqSo z`;p`E`1++i^)AHmi@o+7f9nnin!&o z8UwO_>a1>$jEf<$)sci7uvz5GV}vU_J}3Gq?Sk2N!cSu7+CSw&2tEGEgH5%FvqGmO zy8dB2(4UmuhwRdE-B3@5<&z5sLP-qw1gsumw|tjYz0Qm&FK4}aKTe_mzDO?5TD0ye zzYDoLb*9y;o}KUUjzmsEX}AEANpQT4qtciWio)6ZrG0dFEoKKVD$BuEya~?!f`Zji zCwLvJ?1w?C{|i_Z(#`=2)NrFGy#V3Rh-cuFDuM)9ff3 zeG*vQ@oI4^0lbJ(`Yj0j+Xs^8_6{3folNjZA0}q(RQiR|AmfZn-JkDTAF6FiQ#{2| ztG<#?Hna8sNS`+@ldw@8$a0a1eg>26XI6_X#$X4Ja-Y(|!QMbO?Vz-4Pd(c{Nw0#(-&tQkV?%e+QYb zgr(T}8xTiLF9LJB{RT8fArA&J*-nY-x3CxpcfJ1gsd3BT&`u3m6f{?IQy#3ZMf|IS zs;%`p2j;*Mq=PPqDhE0w7)gma+uq!AllMWfB?fnU?nb>9*=9?dCkm6BqnL|W@=rH} zJPcOJmSiwc=YP;W`CwsGhBah$8MF(hf^cE$`#OYCS%34h>%9o->L=w@*WSePQ8nP2 z*{8n)zR=(5Os4w!4<=Tt*t;wmHIu~D@Bf)I>@EDpVKTJxu^7pbq4rsIhvf1{q5S}u zrtQfp;9wm(>v!oMdl0qx*+Ku9WT-A_mQYHE;)T=a_an<|DUmq#6``1Mhb77}SMP=v za)IB8EGHm&rVqyf;(30fyCpPs!$NaJT}DuwB)cV6V*wE!`jn&MZ{Sfzl|hsGzj!9o z-XPR|w?Xz{3&UxGk+r*?!<)zp#=85Wm~xchH#Eh{kE%ikwK}JGw3%_wAL`d*-=B#1 z->yEePh5YtFAtW+BP|*P(@?FeXJy@0?wtkPKc`Oj6H*!!-QB{oa`jzH7$R?pMv&~k zFd%G3ryNpHB)2it_{%6`?bm$}Q>R1ukj1TrBz7atxMH0@79iVb$Js)u8d85jS1L>a zR&UkhdzD~PQAp{D!}_0BFN$Ko%X%fAn{|+Z!pILOzgVK$HBI{6)}bV@e)8XED||-t zgYtl=*T5-3f9Q0J))drUh~8vf;9iAU`H}2L9feCC@CygRkzmDd)d+M7P+3f5bxa&> zgHe1oVg#pWpy0BrK-j=AfKzQ}%h#OIpM&V`AuX=~+}KzOrU4RnAn_Q@t&IGCPn#5Q z+QfmMsi57j-xmQV@D0IP7AUwE_4Pe=A007E&3n&|=P9&pa26U@eb-%~m3Z>3mfi-( z7u|33@!}gg(|Qe^oku76=#F6#}|9)DDmFKUL_+t5wpt1;WEgylrlp+}B!___2JfG#5*|+0;s$LVIuazX&OO@^KffTV7Yac$^H9@l`kQhotl8| z;KcemAH~;6TjDE;VW~{~@<2gWZG-uIh!IqNrQrmgg#)0FbmWzE`Eu$8bbcCOaU}=x zN8+f`mtJX-`uELg$FWbY>a)fSZl(J%=|d_@+1K1-;Kyl6_V^BW*y)E+;(0Lw)H04b z2d|t$2AdIdzh;sL+hVEkFGGm&oj(8pEFOnj{c&P)Ts^r@M&hagNx?ERZll9Z1|!g; zFla0>s*tcdmosIxigHJ4g~pW zh~%55Nt_a-@BAF2V`8FA_}~e*4VmpTnNV|xTQfZy1GLUJ&$$>EivE%F*2~qo$WZa& znVuf?=1;Jm4&j=6EDU&kCVYnr;`D>oe_sE@{Sa{j0)y{C53FuLvx;vZ96Tyx?@%u1M;@QPvi<-o3=F zq%)Tdr#_C_siR?ii@#4FO7qJn|8Yh6+X@2fY&M@~{ioCf$B0AsihDupbdhaz4ENlN zjfbktYu+CCzNBb5cwT>kZbbNl@xQW{FZs3ZEGI7?zmyHQ0li%+z5#t1*CI{? zF6A>IhB-qqBAURXsY!y#}SF*}%Iau?3SM=6}q z3CZgDxFb2a1GS~k1<$?eB|s!}do+zQ6!!*V^_(0oa4yZ?ME3)Cq%@KL=G9}bO9ZLC zo#mj=^O@53p<&|;E8wPOT;A~X_4_K=DZ4xi{GjFr#Cft(b465xe?Lhu5o`nuY8b37 zU)=)o=AD>AiWEE%HXXULxg8~I4b2S}SPP+LG7IiyaIZ5hZpwNmzmdpNMp!Jok;*eW zw}NaE%U9|)m~cIl6T~cG1~+e~E<9)R-_Tunx)Lw{25k|23Z~hqcj(|4cNJHMSe5%6z-uW0~9+2JuE4LI=sfvt@l~f7O^y zO(wGhIeWFVjF&$@t;wkk$2oLKs_&7Sb%YV5-*d>V=M3nT`zQG$Hjd zQTjghned>cH=DiXeey@E^GTQw;x4NL;Wno`eJ~fgDkmDk7T`5+ssXJ%!{$6#y2HNV zfur;ugil)Lzxh{8sUOH%v`QS=1O8F)?c2*Gn?Q?5s|4s`wyHMbl=5!|_vQU?Ff?@V z@?xrkJJ?B6G_ZTk^7r(Sona>a@k4o5C@Ka;!@K&>*+sn8JDBP{mZ0h zzEeKSv(*Mr@rJ<00=e4?me-&{iXS_Ko0{{#2-i|#KHh-fazQ}G^|rjASHWxg|E$O> zICeYuZ$Q8KfY=i*1Upq2B_4sH)L|EtvL-+!#|=Bx1BKYig9U?yGwctE(ZQCfJ}T0% zmcQH9@GifVtfN45dy)Zpgmc2D0}p$EOjKG#2lct`*DQl^9|AGE&UbeF&q4tmk`KZV z<8PF7?pT9}wEg1#8;}$IFg{@gasSa>@nxEs*_Q2!9LRbHU+W!k=(eE1)elI1&Fd3n zCd?gt7rWlG#D-G9Dt9yf_@1k?uppc5i+o&M-`zmjPI2^=aBpTtnlJ3vQ{uZ%l_#}` zk?=-d&W~t=Rf>2cd6h=zd};l&s~5b5*Gwms&fg~NGR;a;l$!|e#xQ%C%LdMzxdaIH zQqI{QlA|Kc6l#fzJ<24f{4oTV@R8Q(TuQK3eZ#4nq#A z{lr6ILVytHRN;O5^&FtNxXLmOVS3Ko$}!ny;qKJ!E2)GUX7az<*-k<1~07eix zr4Qq@y0+DS#yCD3*_pAHYZ<+Tef-A}Pd<7;%}qP!)5gZb5nTIqr65R)I5TuXQWJb| zUg0?Qfb*}A%fULsUY~a`Y(sQk!Iv=qI=1La9NE(vY(0nuY5pepT84VO7ySBCsWS4v z3q{*F>Qt)r6f#SDpq~KSnFCz``oPERJ5bEMCLrl}CC^-Q$iAlT+y%Ye_G%4EVSb(P zrY=IV2|lPQK_$X-VM-$_%p57tuv}M`+?WyzyVHPp;2&WN*QXqI_mS?ajWgnS=2`&) z^O&v>d>Xy8JZI6>0!s)b#b%FVp4!#c=4jVuGK)z*D3*RIS07O}n*{QwINdMcAfdD%;JHn%$hIG8dRT@WpFQ~3r>NJ)lC~~$M8LjdA%#}hgeoS&n5b) zt>|Ts5rL8?6X?Y)aF0R$6T7jg{J+S;3Z-C0=W;kLP7k0tm6wJj%CA2R>f1`KT1u+>;Q;sbCVINF4!g zUD1Dq&|`NTbus>B3Mp(x&Hb82o^|v8U!{bl=v+P)#h%>W##4Sfg8!S&OEN!}`_y=q zGP%DRw(zGmyQ`G^3U>CbAPW+};D3?AM6X#4I_%GCZ|XyQfxQ^} zzYV{kP?#(9LdqoN@?-+A_z+fi={bkWm)}KE%>ToyZ|&o|^bwa23-2Q_1~;IL0F=S? zextyS$|5-5v!{;vY%+IDmvKch}lDCg+O7xSh zKoU6m9KqbdfK96ora=w$0`Ar+rp-a^WS3LQP5glkFYop(t4i(UQ+ZilG0(AAN$0mn7 z;Hs11=Zf4LH3xH+N);7zh z#z11x`bF+V*uX2D_N=!Jbw5sQy~gyExlom?Ep$Xp5EX1KtU6d{!o|KGE4p^oE>$)D zO5lae3x>(0A$}L)7bNVH`lEIFc0TsQwN0q9b>&`I^qk=jEMf&gW$Ld_O3N{Ibjaf7 zsu!zAnbA|s;i=-LDe&uyU5Neaq4g^?QJiCyL(}N8<8)e_>(OH=1KkA}zYlSwJabw9 zGKn#EeU&b@fhjg?OTt|)&-%lWwGR5JT!$q=|6Aoi5DJFn`a8TG>mKa2cBq=LFe0`u zFna?k(E4eO#l@8T7w~i8dmv2czHl^gzhnV7s-w1e-kBsv_;-L4n(t@U2$BED6Iq{Y z2f}?a5SDLMB}4tXB>2gy)Kj__=um_!S)h`&PT7vex;!{=lz0%{l!5~itN)MlGpw)& zIKML>v;5ylzc^|41n99E4v0UNua>VLoD!VCaa0z-9r_P#tOf=y5!gtJcnE$s6S#=$ zL_toeupI&OP?@6Th`m79LGB&EW4<73c1N=4Vi@g*SL;uN9>@R@uz0C`(4sr#v#c7T zC#U?<%G>X86p}Bc#NTz_dh+!#6s!P@(JA5BNB!KQ+>RP)iEASS_FxL;(RbWNUfa}I z@3x%YXDhrFCd-9cZW6|^)}hJz{scp7X7;2AQwf2N%%{lHk|*Ay6ZOsW#&@#kn6ln3 z**Gl(KFmdB=M{A2cnu(&ggN0>D>amypfQ}0weR5$A=rAECCSG!zjVaK{5ufyv`zq^ zdk&B#k^UbWU^F;!L)FEyMfLKZeV+O%z8(`;^Ds!OE=>PsJ1)>h#>6g z9gsiW;YU7GL!9*JBo*c#{hZ4B)o;d*m5`2iFtYgMQQJ;))w|c(4_!K*;4H@hWv;2J zBl-T}xMEMyLx8oF&b@y+y7x^TF0Wr|-wVEDx$x)=&_@h#zjWuMLM({i^dM&%jv+c%&zFz_FIcSYdijf+@eSC&A6 z@dMkBZ~qJsy|FulAFly&ZpjsP@WcmzNixtG{Qvsk$1oh#5MKEoC2WQa0H+t!Ghk<+ zKtVE_r~`j-hk2Ymidtrat^yp>89^wLdKF4EQA$v0(2Xv z1-aCw{6y>1BhB_eUS*;tq4_LB5z@W`FV%%9=^UV?1ifH^@Bs%)XZi*tpZ${;=du^w zKdyHNOoZd+I>2*j!!PLFkQSJ42(lWg?ACL@iawj!7(X7$Uw_BLZ*`|yDKIttv&Z2H zjCZ>SXV+l17GiD42&WEqRL;PY-C2F2$gkL!J45(git89asOdtAbi_(=;xwa0gxD8$ z?~`Q>A}NTe_Q?$><*%aI%tsl%g88ebrU{7I^G=cK1;GqzQ|9YGW%wZ-?JD#rE%wQJ zqn0X!X%a+;xcpDM2mIf)dv5tt_blY>*@(Fl9vx5 zMr0PlFNi`krr4*6TDF~c0urqE=hEPC#E*3`XaiBLe>viy#q52L_XvmfwW7{!+)>IX zwXOI4L?Fh#usUI$J`X;0*{iqi827GiFdUFTmmPWTB-&@~bGm zl5!uenQw4RO>hpd$NlSak(k-6FecdQgT&t{{{nDS|5C=Q3)ZYVh(w`>j%!oa>A|A3 zuz#oCn(ve+^avr6*r_V6L+8pDkwSvuE|F*}lTlxnxV_|@)w!x0P`@+%s!U-+ilzHG z9ZlxBgyy0g1tzUS7sc1NX~@pRQv^OoJ~utQ8ko=ieaT|*iznSZyyLe2h&<{rf>oxf zh3EQtRkC&DbxSz3-mNu!d}{)VeUM3zcXfNXb@hIu`7=a#br#}Y5PiGL2& zBHKYBceoXpNMB^K9W73cok0^0*wx?ycjWLdD%j!XT*t zRspCSf1>8fjwh3IeV}jXRuekQ8VDBY$zjJ6{|u!jz#RUExC*!d4IuxEx%zj_8DAPi z^WQL6Uo-w+=1LaUDdAeG8B@UBYV(-E$0mvCZ#J7I{yjJ0-W=!xwi@9E5LnTxhSd1! zI1yG4NRyP?k!N!Hm?g^{m(_w)>kVjMQeKhSrpA= zQ1et7;p=qQomM$Q-5u;jeMjEkVnX zp=51Y-M=Mc4$KCmhM2s$&W4SMBoAf2+<;s|k$CaC`Jbg(Pe$oSUekXFtsNy6N5Ku? zdRU9qBqgOkIgB>QSIJ#;-)k9i zb1@fa$V;A?z35k+a1)o)IAW6FbNEw_6pd0D^;G35ETo7D71Z=VQ+2~ALxtojQ+IVu z=69t*Y483yGVhq1vW72j^}D1Yjkog^53O&z(}y1ZhCBNI@6?)e;V%GE=ZW#^O?}X_ zLppq>vOF{Lfb>6H3ecOj;;XqP(IT$I8U0^mN+xur0Co)ZPf3LJL?i!a>~R{ul^F=h zV6EZ&o@*Arr&FjZM7#KMq|lNl*o{5BFG%YSaM~>}@26ecT+#o!AnEO(quy_R-#eU7y%Lbe^L_p;3iEoVpDT+A@&u(-U zfM>-iqHaLF^a5WBx{yB6^~|qwoTZ?N_pd01Q?z94imAx223iE?zzz<^Kk}+~FfDy4 zA$KrvKl<#YHQI%Ao+FBjUJn)`&NATR&E=$=0^P@Dhj+tk>e67&snda#&%w*Tn5-YR ze^*Nv?Of3!R_FVo-B8!^nT`KXKY{$7>S-ZGGM;@8AWIn_PfeZXJQGq#v3BF?(t|sm zIesFr>NJXT`L6Ab(dXOApG3}&{s>bn*3RMk3d9>G#PU)iTMh@BrcO=b^3;v;z^)Cx zjs!14Pk02d@xc|B=S(bS77UkO)SH;T98+iV_O^=FJ$U}Ou$b-_ zD>42c3t8St*B%i33zLV)Vqbk(ypE<9vJ>(WOYsYOwBMY(RRi(B)Hfe!=hT+j zIR)F~jikKL%G5$6{9inKbrdLsHmc@ZxjI$ z0cpumDe3MQkP_)`5r%GLfFXx&7(zfmK%`TN0cq(HX^@sdx@MFZaTve*Jny&O_5OWh z?Q{0Id)>2tagN2mllK%tJe^5BhozsG&$l%Y5Xw`IzmFPtP-Brma37Fuk_>?9*&DId z7&8=GZK0d)cVXYzpXnsB&?sRO;4*s?P(UfbORC1M^(&-zj;rm=i&KL`O?EjQW8fH&nDy)_4lHM_YcX+;$m&q_ zxPZI_N=K4a=8Qu+jrlWtp(Va4d#(MXlbe9Xa;b9sT(n%#A*`rOG|uoYJ5V+v8%JTb zTk#P%k!@DJp=*YCfjZ=*etTz!1&96Ws-LH+eRbB@3b6}eZC86+GcxD&7m6^wQ%U5??Ql^@jV8v+3ymKt(B0gaq{iZE~`JjJuFIbSsBY{WZwjs-a4 zN5X}XKqY@>8{2`L_r>P+H*0y=ISl}AA*5*ztn+> ztlwa8XmDJ1aHOEXdY(!|Up%k!od^GAZ0SD%5n}ZQdPvbf+1Svnx%34URyi(P>P|ap zn*4*!)FGLAdM^lez%Ek>vU&r(vH8Q5A%RS`Ypa@`6@8t1`CId`U(T&hxj&KgJS7ym zRG6d4{woc8My&HuqN`0OBPw*cEFJWBCw?o5;DXf@BYq=ziZ^(B@;<2GollJ>-uMS z$L(%tg(Q^bGwPRRjFx22r#w*p5hbU8hsm_C^1xIRQvTiY`$|QCvgf@Kro9F_rP~pY zF>J_kSfEPh;zj4a2lPlfrFn|a&Oqb0LIg{u5)07ev~6xN>xj!hfmvRzG6!G++I?%3 z$x_69#O#H`VBaWx)Pl^%s&ywy4(*<7lU*sWp@UwftLyk)$j*Uf!UZ$K`C(l}l{VeL z?%`;?94CFvK3I#>3@$DYL=OpnLrI^U(`{+m6xCT-75Q%K-G)VN4}fM9Q+XuwKZxzKDWKMA5g@C?kRk49!G!qfS<}s zhU4kkOMmqpZmvM(r)B9UA*xLnidcBbp)W&gcjWtQ##Plg9;`aq4Lt`ZeXB*CR+I_HV)`jD5piTvuo@#NZW1eH7(^B^4zN zAI=}Cyi~j3UfV?L4IGFk*SnizB)h?h{wJR7$@)D-oQP1D0y;W|*oO_l3+txEkYMp_ z@vp2>TY-aTl&+Y4JP~#v=mR$Vd+##8)7+EK!hABXOQtv+)5L5Cp---K4-Om7tFcrGboPnmiZdDiB=M~vxkJiT!YRlm zci>|}5fL#c7EbNlIGdfU@!=4iTnn8-mr7bN^s@e4au8|7W{mI)Y<5hDx)&n_&v+Wb zS)a5`?A94&_F(0mTCaD&qV)70AAQjS!{HJ+JmGvemCmK((zn{;?$Y#&Uo+-{8>AwK z#in-sVledwbP#hp!|>m7C-8nt)6O3gA4#Te4^&uNg%vxnyQGGAo(~hf?)MVim35|j z`s>{boFaDBl_enGcEmk76m4(g+ z*yc9pV)Og86NUf-SKnt&`h8JnjE@{ObX{OQqweJEZ-2okN5aWy4nP!&+%{OaD#aDg ztCdir7$+GI5yp|mNq++`ccXia2EmN8<~YX%C=dH$xTuY_>r(m{(L#r-el_eno#T3% zDCr(uM`eKhj-y{OAY#KQe}ENu4@}Xo!Cs=Y#F6<19$AU(i0sjD{GWPOzP##|u?xKi zIRC~D7x0$Pnr3wBfK~+jg+lbHl-cOajF6(-p>L_sa1d(4H@d9f_ga77s){#v->-;$ zK~c!owPUii4dZT^voXAV{58j*zPi9?Pk@a=p~^U2o+nI%qmnym&X3+4z2?n-5-<@J4~l)1+&JvM0#6aAd~kTZ z6w&4Cx7E5($kChV3CVMU-r)-!V2=tm?gA@T7w~q~3{BGF0_Fwq)0<2U>;?MZjOe7XsaXc^ur|F|@f1Q)up zES|~znc5NlB0D~#5~&AC#UNt6PdyrNCa5!NH#V-N_a?tiy*5d2J7=&!c9b^>H|H1q zT`jp<+(NDkg$6pgkZ9D#w;hLGf?u*4bH62u*iy@&D7Q-1d&SgsC#!wGb*ki)f!#r7 z-yCy}@hg)!SU;+ho2-^CxR|$71aO~X!NI!PUE+tds)lbpgJLQC0Pb=44d^AdEV3ShsCpKAc-k+6ZDBzHK)nJZWc>FobDf=1W zT+!en{hm|9*uwxtshbbta>js{g;X3)g&N&_n4`u;IQBM-O>RFt*p{FVZSfq zmZ<6lyG*vuC^gcVbVNtKX7nX7Zu`r_KdM1t0NGQi)qnYIF)oYg-_ zDW=6vGEZe;8qio50QfTuoj5Y1IKPsSy~t@)uXHxyYPSbm@y1q2vX2y*nwO62k$j|Q z;*;SUDA(f)X4m^>q|wvDdw`$CxcHkEXClk4YI<={(k2_!iWAv_QBVA+8to=o@0|FC z(o~yX@mRAahqXSBx5lX%XK+&@kq{cUgyZ?Z=exITp639H$)jT%yWlHi0+HhgwYna1R;a<+x)kBN#g+f1n zn(;tcxof#X%{gG~%CUw6j6eK`p09ZX?Io08SLrV6w{DzKH|s+m7?7XM&qpC*>gp5} ziq_F4cYllM%Gd1BqWu@&c5q(B__yQ0wfl=_M1{w`b!F@gOZV&U%HWYRvaa>_Y3rtx z(I2Dn@<*4q55b5gm3O%KXR!%4YOg2My|O2oairMTx;G(X8Zh+a`Q%_N@(rY(-otYU zR0Mh`jYV!#{Ub0qI=f-JI5WVrgi&q%w;z`!WzA;B%GbZVcKO8AeoDk3B}p^8iSRL@ zTXb>wn-=1s$gw*P&TED<vbIC4 z@9&lgynch3;4c{={9STXqPa}N9;7w;^Pc-N&5Xb=)(d~qujm(c2DlD=!(wJw*BjY= zIo?fQ@F+$y^Kywrxe6Ir{+#BMcO1}ab@&14Ca2A3WM}vS`EsOUk4&K3G3#%X z*_X4=9_MK7$#58Bp`h%hFePr#3WUoEJ2G0*7DfG3dwWW4uEar1i1a23aOQM>=Y?d~ zs?lV4)a5}G0;S6t$u>Fs=02$AQTG_BE1Pq@+ri*h6h@W!MXg4Xm4wmPYQSQS@=@IX17|9)%IuKorP9{k zWx3f-F-=yHs+IkC|B($(lMF}@E}PiwPs47cmitX!#BA@#QY}x%O_@wQ04+!?Hv1;a z>W)s`t(wp>0(}ETCv;v7XEyp59=8%kdn9lY=w8oGKkCz!wS6_nbQ_9K`t&&8_~#z^5LNZKO#eail$R$pb34_%k7y+;QNXj%RTeLf6^^6+ z)1NGcnT_R=Hr)vTOgtO5jJLRjKMU@6+f%hcikG*vx!ldPK0@s3G8Lv+o~%ch>0EoKLKb;Rsh&VNwi5lQX%{ z^0u_vmp+9WLAQ(Pm5#;tjdNRb{AM9SlYGv#v%Z}I6IqZar@v0|Xg%n#n!z8FngHQ9 zYaKa)7M>?G=@xz7=oML8?dx0Bf13**4EcUDbN1vc&)Wgf_?s=rL-@Re?!!A12(6|O zM!XjiP5c0G>sUM*8|d+8s&cWl>eN|hz2I7v&t2gBs*HCyCh`UyvZT2C*X^5-&4P1x zcUDMaf}@?vjA;kY+^L^QZ6GA8o0^>Zn3zmp=WwW4&A`A6)g)e7=EdFTKE@v|`CYTC zNIpuB@eWWrTGZzYSGAWgF@d7k--DuEJyt5Ahq^&>!Ib58n*Nei=js8eV)g^$D&16{ zubdhVDVC&<+#InD{Wd}`vkmSIJ^KA1I2h63UViLXZE+0N?Q-lp?8(j*@-x0JB+s6x zB~^K#!A|?m%Q6gMgOxx9ol20lbS|%$=I$k~wx9Cl`!;qtP6EopZE@lOlmv!x)t6ek z{a|$OkMV3yY0a6=L*Y@5SaT@esiW90Q=>kVzT^HC{c5Kd-Gq^bUjvAAX$>2pXg&US(@>b38bQG_0AoV#31n+zx+989*wyxbCEVR`UaUEQAu^4lO^id{bSeH+VG zZ~#wjj158oJ(U`2veirD&UZi4T^1S;(3Eg?kx16utX^mQJceDSAVyno`W^K$tzI5v z5KfCzLxCwIPU2(p#}_TAANt>wpm#P2dPZ%smFnYT7A*JFURaN~v078J!dJzwxm3LqqCa z{3B~iP2Zc|Qo$m0jkv3OsG#al+H~TZ)Rck*!%i6gtw$K^-~Ho)6Gk5%R*l)z(iWo> z%lxa(bJ0!A%L73o8Z{z(v1_3tzwRheqNv9B2!}T=D(8!TKWMBCx!e2TEPv>XrXMYw zwEU4H&)?qj>%Ch-EK%gA>dH^q?@$Ci9J}DLg?~}(WcKhd#~vBR-PHSoNXuJVBCjPcdqu$JV&78THwb+0?ywU~_A-)^Hgtr&q`o&Prlz1mVg6sA%J|g@~9rN5f z#08AK;Et%e{?OB@*UY~Xz6hsex7PZAEk_{hK)B#HK6GX#H=!|@H-AN%@IW+cm{M5X z{XM(_fXrbpjK0jDCYp~1KuT`v!dWV9XofWK>z@C)B2;C38iz?g9s#XPZ7qk5sA0_T zw^sqt@1bIeQ3u1)H-?YZ^R4^E^(xH|H<9pxIGsv0jP3sqFE*ljon&!q zInxTiSWNNQnw)tk{(r`FW7ubGqhG{JSqcCf?t1Zpf0%@lMs7O(J1RXQg9{b&8u!vC zVBn3>?|@-V-30&lk}Z%j%A@pS^1o)GQX@>s@4_fKn+DCW*8aoOFf%pGSq+ww_l#-F+E9Hp=dY>{&4f7m) zaYO=O2=%UZjtl{+82wCSUg|#ra-knwi%b{i#Wb`l&mz5vfo%`Gb~^d_R!-f}65It$ z;wI{CBW25y_1kIy3!kuDFi|&*_Nd;PLMT$sA&EbKoK#2QSh5$c zVElpD#ooANyR^J03sMhvffEgQi$kayA_A)AN&-qkid)=MyS^OHM_gk5;(9ncaT@2wkDNS0+4x=ccw)JH2_ zJ11y0j`4X@fX_Wu>ZxxEo?3^7q5X3BDvo|+6}?LSN07Eqr)p48%JpoMt&77UB^7M5 z5(A&O+l$?iN=nEkWfH|tNgy27d<4HK^ zq925p(^?%Ywm&8Rs|=HFRWJC6_-jY`kASuEWa}05Z66?L?^{1#hc{@PJ_a(4R9v}j z?2z1A+~OQvn)G~UPF`sopZ=fMyECPUeqZ4!hcK96w|`7j4`#S_9HzWFjS|AkSQ^#5 zcjlE6Ex`_Ly>)c5VuiTMfI1MsFw9hjlxrD>W3nVX@Uk##*DGY?^r4+D>@{diTP%>>5ah z#eM=*w2`MK_ADs^;W99FNvB-BB^v~s>p#JVz^IOYPUz!;(V;G1TvsmrMoyoM;8RME zs2Ca@0&UqsImN2+Q%gR?GI7A|#*M>y0S7Z?WwP zJ%QV26t<%GSpO01)c5%5=T&!KxAr=R{j$ zYWTedx)w+?1aA2l<ytt4oWs^KTwneqTy^405Xy3@dEnc&QE-PX7^v$=LILbpF;o)s zWZC*)1)S*l(ZJVt*Xj#Znrw=;-hr8JNAi5)oQ{jHFwO!!A9Q=dv=7LM2?+3`H{(}j z8+LnhogdK4EHCz8!2E~Et7~xu9lcyZG#4QeiTuGQ@g4Kw%W{lo9dL7$wyY65XE$UTlzt*YZjd~ zNpVBMY^(2$V585pvf!K#wYOZ-$Im1*6uTtv{poSCL&mI literal 0 HcmV?d00001 diff --git a/training_bayesian/images/islands.png b/training_bayesian/images/islands.png new file mode 100644 index 0000000000000000000000000000000000000000..6342dccfe399fafb6fc99aa2ba4ead94f43941dc GIT binary patch literal 318660 zcmeEugRYa6Vnh^@p-8m2@AUV2W7NDepbcvL7=U_-|2na}bj;_%I z2HSVf=X>ApkNBSJI5>bEVu7YRN-sGBwLyO%W-=Hvu(b|)Q-&*k6Wy#Dtme16t$Fg^iZ zem*p&=>&9na$5Q23q7BS&1vscz2OtFISZ@L>`jU0LISfM&>!d-t7vw#(WlR!KYzM^ zjrOwMWq;Hsg)8J?-+$bveJ(HmQeIyE0!l?O?7%!hyxE=Cee^>7!#_n2`(pc2;>M?w zz}{F^Y!W^lcMc~~0XOvD@!uKv?+pBR2L3w(|6k6)TME@{^W*|i(dDp+4D{HP@rD1H z1|zu#AKRdR$XSz_pjr_u0?waYH6q~cV_>wVmE&^J|Gw{T@GUQ{yEg_~lkxY_g#s*5 zyUp}H&@(A?x z-+J)8T&qDOkzN{~F*{0cA>))$1}TKLWjZm2>TWkaGMmDTxY!cY=ksgLZ@@I^X_k4+ z${H>f%SP-9n1}5?kEjtyMjuxm<>AsXYIC zUi#o$NTw`{f-fq;dXqw6#~gX1!f=?-jHu&mgN9g9xTceYhKevq9{Q zU{{aC<~Nq=!N!^aUA?yEl5q_|=OSoxc9d=&T8sltBQViXCyLGzNRJi}LgRyFEqfU} z7*l94eI@4qd)~{}9yros2#!&65l@5lURKxqJFmz%-x=Y3b8uTJSSlh_k{26sh&fy} z3zSws&_lvdy64cw+fc`H{&hCf#_R%q&)z@mZ5&Ok=JyV5M)Wt|z0(W^r~8YU;TEMb zx2U}h=}KvC1Y7QQ^FgZr=fpeL@5qilK~v=aw(WiI8+@r$yxL0M$TxNLJf!jJ+Q8we zWExU!S5IF*QNq^d0blw$ex!T8#SkA7b?*NfrAv2M$1c=_op5pM2yYV*6(%REvb*Jl zJpQ;7?jC((RtocL=j0SoyvKBYHr1Tn`#N}`TPnW6q2A;IXpXvC;aDvK)-fjFSrF-J z67g6-#LMg7b-lWDSN2Uj0}oGuiP_IVq`W+N8PXkn;Q>;ElRKFn8hbc5<*4)IE;{#O zwNnb~ZRFoqxUlpLxk(X9!IhrQ@X``BdAAZR5a{Qj=dW6;Gimf~0R|eyFz={cwTRmS z@fp;n0NGmex9L!&zkvw`~Z;SmErn|@@)gF_%zlDD9fnty%8A26>9 zH-QZgQXM@8C^LO)H)JJV2!kXECbi$X}FLokm_y!wOy?MEOa4Z zww~bv=vDFFX%Eyfc7$3$BdT9Q0Z*^lPR{@}Fp9Kux3$Sa`%?xzo|?iE9JAVGU|^Ze z+1#LG<^8s{qvDN^{ko4AWe6@2JgL6_F7ms{x~%?_yScgG>&$rEwG8kHl{KH(#Bnxr z+s~&Mx$?OJ<$xxt0U5MlGCjxk2aBZfgVPF5%R*K z^R~$??CK1UnxM}1w97muUuK8i&_QEwH1%QIS5wSik7bt!`&+E1%_b@%7KmSw3C;s& zHN&nnPm!k>{k)G)D{U9C`ynb#njnz$?g{Qi{;rOZyFRL<+|F#K5S4n=VkI!(iF#O) z3w&iknY47;(XGwcvSlIImk?yRp184o<=?Ft6!<`Glo~4eU$ryNr>GxsIqdf1`Xt1- zOA5NYGO!-~G6u(lC^~}F#wY#8`mfGU0(1Ugv2(JS{Nhr+oQWEp}KPhR= z&IWG{J}(qL#+fk}#B+ZR)iR>DSbk*41p0L~0}eA~`kD~=3%s?>CHFxiA((c$q!0a} z7Jf?jYyBL%^ZUz6t2>tBMrpGQcSMqez@Jo6j-tpRS1)DD&I7C4qrd2-M)D{w>>3f1 zXA~t^?YQTb554k@Mknqbf+5L!xT0eog+N2@e>YX8AbZUsYS*KoduO}7f4r{IZKi#! zS^eCRX}$|dY!amEx=|Ho9=;p-tTC@I`|F3bblr)jbmwetVuOs>#@t_gXM?70+ z42LK}Exi4X@jNTRx?l^I-g+Y3__iSfE-kEX;PD4S+tpA}GzAqjFYwkfZ)yhY`EiGz zM+u82S-@Xm3N90$xF0}`*gKPQN*6=Nk=QE;6!7T5$3E0*va^_4s(AGdV#Jd(=tGu} zv<19&=a`XiQQioa+iSLQY%Y<*!63bM-g;E%!^fCbB`3BXl534UjcfQ!L-A=BVn`1H zbuSg!wLPyC%J(Og>@1ihVnN({;%%9aa zlqa?5 zeQ%2Z>WuhhiKUsFdDV9s_H*n+iH!o$wD;O>Wn#-L4w#NRbd-!aX-EOD&%4yNmqDOc zO-9{mvD-4-|F`59)ABo+c<23vYBitbY9&+Ep%lfodG@u#aLof8jF*g3I?QoV;jOKx za2>^W1wPjzASYxZYo9 z3Q9QPd(k>f;4#tj)+WBg-W&Dy8$L4Ld#tUIn$xu&qXAFUK3g1lUbz6;xxJ4qZC_1u z>#BVm!F{%w%ElGnd=!K^ksO`LJf7%4H^TjP%k^%0>T|v=*ukF%M34=TYa~f!{Vm(4 znNRziwXdNk7(V^F?L+BN@o({C?LnDf(T?cfeQoXzgMoA)(8!}*btngt8Jb70h!!hO zbeV;yz0{>`d{UHTYUQ|DbPB%IJk~$ z)z{a{i7zE>&2)d5R!!w`@=TgstbYk5ys6x-Zm&P;!PXbvhF{}=gk)4Y8V!GPx1vNN zb8x?@!dcV7O*e}PWzuZ#>ycRb%3OK?R;tegEp(jpGs_xT9&2Idm6Rq`wq{p%7{j~O zFrf9{6hEG|qLh@GcChQ;It_FD=wm&UGK>q*VQF&OXRGLt0XDb`-kr)ix?@x`?PpZM zuTv{GKZ5y(jAGX*t98O*`(HXzM{PrM#Cf};qzy-U!Y0FDO@W+#?x+hOM%njCXfmNs z+M?)w0m>&)2)uDQc#yVtfU|FUUVs5WuYnpYn52JjL*G?@IEH=x+>Z6Nd+A{ByaQ`9 z7o(`_AN8JA=Y({6Bz&ZWYg&B@z^~)jyu8n@Va>q4`;})Ec>+iENQ~FT@QI8;ld9)z z4!tPB76GzvJVt5edkIo)g;}$dGETcI6;t=~0W^j*3oOk|TiY$4z7gCS^OaOW?aw+q zgPN+AA+Z@?!m@kYnLPPmWJ=XF=kmwUI{?&UTbyeS_uWnmX!qib;Iw@(P`;I%7a)>4 zUF{T!3(%;mwywGNBQe}UCn`Wxx?^Tnsz*a}EY~}4*sG)m42|Q`p?-HIoNgJLUtM?; zH1_w-pV?*By^^APx@sf2wB+IDpZoK~1W%*rouFp)m_IQOOU}cghXm}PSv$?_=&o>D zQI)CH)PeFmiA$W99$a_Ir~_xmS3K>XIUk^Iqw19qa|DV_bZS-ZG+jQAqw8Yp+40gp zc>Y#%SVFKklPt$`meio(-gWn6~T-NY_@OKg1j3dr&2_2p5hWE^}Vc_J#;p4efI&G58i0JfS4C2ZtO+|sH2 zHOy75LFe{p88A)T0?yH{PUW9AL^sC8yYK9AvDC9o@}x?CA^^3cc=zY0=sWqZ3fn5F zmR8*S&MFXvv>?!&ZoM>7XYI7H{UiN2{nrEqO30SRQT3XNumfRAD2!j<&&kwH((tvu zu@sDJ(jmv$9IM6zIZb*&|Lmw~XSM@-gVb9`E)*RfPujUB6kY_qy|FUKNXL=(G2h*W z_6X4sR7}eoSlln2iJdH6Tyt%}9h_AAP=Pzn#Muurcc%@9*LU--UZj&8lJ1+Q%eA2> z;RHQ@f3MY3mHN-U;Pc6$)K|I2f1ln{b5e$nHfV@+pM2WT>@&&9)xNgk)%?KhI^cMLRf9q-cCGG!>&GrC5h8ZqmHqF96eWBN%FVF5`G zZ|wKcjIJ1>#W>MaR%c}Zh&R@&t|ReLt_p%0VlmvAhou9Dap0ww@|1m0tloWM5?bSw z+HAlOz4s;{&9^&H;V&DS4nhF}4Oy|6i#jR&G^xmTnV2>lvA;dId>CI(cknf=Y@v_9 z$%3mo2+#Aj(=F^s6A8)2zhkGkeB{D@0ThtZE6X#f~f_M&8%Rh7JLgsQr9jNyQs!i!3G z`Hxact`1!hE4q%SX<5eE&iL!7KLC*fn*3juuR3Ds=}=;#XxsB)pcB&XZ9~X|Tid^7 z=YAc}=P#%UOBxXRCX|-@L?7x@akT?K?9<3L$Y-Y2QZ1{#3-G?+^bZ*T9YdGGVx2)C zd#;u<$b-A+?CiDl3(?lfdhD@PA4=>JIlg%Z0+7KrjP;ZSIfYr1o9`s2806b*(uvj$xmzV{*&}J5-_wtMC3GMZF?}n*6 z!9~krqG4b49jC{eZHs9woQ991Nfl!c6Cj1gnTdlyT$)ozX3WVq@g_;PH^(i;WQHEn z2M*8~Wtu(x-KC(aDc5XQxF|bE@@%pJ-j6D2(X%xYyd?U69FbaTNcL$+kR=of=l>hZu15lFT0o_Xy?5FR_1w+?l?`5@|x-m)qz1x zWnwLFTDfRptvjhi{G&YURj{v-a>^aP=dlpk6*|9Qps`R4uJm@zYLLU7fF=9F_t-{Y zTj}#UKrwD0AbwWGG@>~@wD~)QtA9wn?cmZH!9-l-O~83oV8z9<;d8UD-Pv@0P8p=F z5YT3gDlZFq`Zow$Yq9=GHBn+sHsH*Z1Std(fYF)AdUGhx+(&OVaR_oB3Yn`SptMBv*UZv`0rLgkq{23pHFva6un^zc{fgPvL4xy$UebChy1jAG?JQhL+|{`6{Dq zOrz5!9n_k^$^&d$_S>$muy!GJb$=M6arOQIk;-e;0~%8Y7d$7*Qxy2QjT*~N z+b}q3`dH5`PMo+Bt5Mz~2smNn()KxcDXu>K&A_DoUHYRz__G|Xr3Y-VbCMxBQzyNZ#P3jnY(&{0Y|01tj zHgCn>8oY&J@It*W$YIQ%3G3%j=%7!?rZ50NRk@+bXx{dy0CKbRCg_*nmjo>1{zm@O z(Wd!)|F#tkf}Cg6S@2avs9cHDHyUn=uoKrVgg2o3R7?pW0$F0{;s8R z&4(ncoyTfU|uS0Av*O{`6Rzlg=QFKE1XIfQzb{IxmE;~_AyFb~Lp>ueyC@#jsV z4I5zrf8-e2j7DjIu3Gk@v_-UY6fL;iL)q7ew-;%^%G6ri@~Yc8F7s`I7=UYDcaRfV zG`0eKMYdtb**L?xuQ4KY5I`=Q|L(xRyC1;Q0Lcg>0y>&?-&e2Gyk3JfvG@(M>H@R@ zo0W$$o9=*39z7!-Xkle6D=VfQXWmLG9)sx6eb&0C8+YRv=)OH}0o0Qx8%@P#d#X2FzDj)slip|O9CvO za)U*|j`cI{>)D>hrIaV3qfb9eO~nC_x2&bK86LAGk|A8}$eh>=h-&k{iD^kr5`Mmm ze*>tsY)+@f=c86wD9MPm+I2rWc)9~h4>VL~0=Z~lQsN%ZJr4pmmiRrUcKCs2A4l_A zJ=|3@qPgQZrkNjLL6%WS>j=CGV-MO#08O;wR>pvu0bXU@1Urfg@ec-MlI%4B!3Bqa z>ap|n$b$ucb3#U#TG9C05BNuvzJBI$^6XP*%9Fr|Q-LT?b`a8>amj2-KhPp6`O#rpF%l{(^xb?t7A_!FB^1=K8iAxXvQm`T)+i zr6J+#$7>4OTB^wz!w8ho)hZh;TyW0&Tac@w@ z>ES^iG{V$*G$4bX!YTl*$ZAPT4E!gO)$4 zDl=g!KL*f%_(v%?2k+b?>fJPw=!b?f4fh1b_E}Z&BU>lNwyOKV1 zSlt@XYjJ#VOeiZt=$q*#(6Z%#nfg#-QVKOol988+B0bk@dZMpIH_gD;Ug+_ZNPm|{ z5z_(veXLoHW zji&$#31&=h5aoKU0z)h8;o#bU8{66ZZ~I!RE&}m)2sQ zHtQydk7QS+_v#Ue(2Z(N<{5-1C3`xh&{;OI zHlMwsh(4LC>K60FPONmrIvo1Ir#8!Wjy`Jp4ovXDw8=?C%x|j^TK@Yv3*uk zrSJk(3d^13DR)nwKly#VYOtJY zDPX~XwIQjl(+T3X%L{`DgNHq`jlyU?GhqPvw7Q=aLl2?^?xVqgc&!s5Zz*iUmuN~a zwqEQwpxV&k`MWx@b;P#Rud=PLSG>Y+Ut!`;+2fNV+Puw}$g477BpT2aD6(=REP^im z?#gCOHkx8`3yi>61q@m+fxdgi{NZc&;ZI@a_cbFm*AaVd-9dawkK##=vyO!sM3xE8 zduUHVqT$6XD_E1!>(n+Hot2Z$0wV5*z_SlnAN_;qNKB%Auh}f+k|VD+D~@?fa$7R{ zQZBVFusfZmR6A){a358^&6;7Oei1xNRd!|kv;c6AJ53S;(b!=jU2FL3H#zC)$jTzzh z)_hrwdg~|y&*aW`Vp)rEOu&?SkHeor-47oDr44L`KZcCwMhAx{6kjO}bBF*|NV{++ z*ZejeYtN1PUif!N-Q0YN90EDrnk9E?dqUtm*crV7`kD4|Pf&nYi8ZFzn7>qO5~V&W z<*S(vlBUH}a*3mRtZu5we7iF?A&HbR_f%2BP=NfXfI z^ZSS1rdh&^q6}C@jRs8X&Qgefd|+UM-E>;(3DuMyL{Hcoy|~j(VH<3!Iq{$oAJDg1 zUL}V-@YYEvncBxvm~VXLaL~CM?>!Y3v~uGj=#`WO)tQh&7JZskBV_7LS=WdzE3Fz& zrvgJw(9gitv1Ub2Lb}<+ehoJV(X%_Nt$rGIt*=S+3I0R}15KX|e3juc(nO>{Som3u zyz^3b+tWL)#_Auou0bX~0`5~C&=8H_+Mu@+>W`zjKelcTS*`=pPDrHYgll!D*@Ql# z1pH>u{ebCAE&Z~HX=i!P#d1eOCuFQQM5aokb45K65dyTe-aFIDGg#LxlkBvs!B*P= zC50r>@PiR6D-+b*B=m^k%u(cGwutD(;k&c;6>y*R;)DWNSA@^W=fC-#td$FeV2x=u zJsQPZ>0Y=vt}|x%Au*kaA(3ZbSlsuk;NBuD&J2JWdE|tE40oo$7JPc z{BAJzjI2NIIp4N;%)-29HWF;_s;^&u-(l&{1Zc`8%d=~~lQMzue{wOaD7eV+#Mh+b zt|DFTjnba;xCF3EbY+=yimwyB zJb^Xhcxz*UZNL2C8d{~kV4sazL9-y1uZ4Z|yo+DxexXuS{z?M3U-o)LcVQ?l-Fn^?e;8jtyP zX+r2X*RF*!m_j9LrSo9!9%SO1)UM+oLicbv_#3w5@3R^$C2%^Gr~ZHLeI5#Z?fr85 z-j0#62vf0YcK@S%BTiQ1XVwRk^E0%HdUO^!KA6vl!qGBpAiqsc-{B}@3a{WDb{fyP zeIs34JB<3j20@%f)gkKM-4_JxBbN<9s*i0GBF328i(KL0Q{2zqW`A?-S_wFOasAYC zzHwZYyi%d*9?6)bf#_x{+>j5YoyDzKG2Ow`RJ9vz*BDJy?=k}F&U0VtzDO%GeYqC{ z*~ivCr`Vwjg;SsBAbgTB&3b7IuAAwE-BWy9*E2tt6Q%1Or*9jc1pX!L({r@fNdrzI z7(oiBiG1?h**)n=Fg^7wbyW*=QkbwLZN2rw<1#wd>$M%ij&{4lmCSr4<|TPVM6UOW zzVr&T6jvIA?5xZSE$)-9DuOhGnMZ$}uwmLlUI=y+UQ(ZCV% zRpAR=PC%o3#JwEcxlU*iV@3mCquANuS*G5%>JNoiK;O?gS7*amzog%WBIr%qUwa$? zy^~zVF34w`y2UA(nHHdC-xO{~eJZV1j!@LC!POqE=y9J+t#maQzh`D+kDJ{giDYAQ zBS?z9hq)W+jT{@2hpx01=OvzL{8oE)Ia|pIdci@=yhh6*>R}xvPIu$=^y9odDg7<9 zz2o{)&?$GpnzrW5=U!tKgc57bLG$8mvlSN2U7zP4tfMT{Y+D^8jN@yBGH%!1d-vvuZbqTaBs`^uJciGi25^_Um$d zBmq1$MkE->%8hJN{Gp$&KEC7#Bvc(}LTI=Ua zT;W}kyK3BTm?28GSUTQmagS8lOjgp9=`0|CSQTBp!`W;p2=HddcMWe^8h3sL!!0t8 z*9rU4*U16Dd$c^?-~IU2$dIrJ7zflryW4srpBtDu(iGTxP3!JQq#eER%334EBXCUz zK6Ux9Q5V-}(>79lrgnBRo(SGZ8hZDO<{IcZ&(fLdB)BL2>r&pVbRe-}WiLOGiTtG;D}V`Be5ET;4PHNAwC=iODCwqn z+$K*nS__F45?=1i9L9AIq_#IfqyXfrtOeJ4a(6kWh%4|@vI1jOz#RIYe{r1BM}e=+ z&tOl;R|$f|v{_Yw{Z(t!V_A-PBNl1I}yH0r>5K=etzNjj5`yvKTIKbzz5 zR-U}e{9{~{1Ad{rNI6>|f;~lKK&s_~*$WV8NmC1EF=%|TlI{=BO=eL^Nr3~@-}&*- zR%0ANl*y+jf1Iq?A!berzwK~h^ozuQg0iWqi2>*L=Jynxsi>Mq_zG7`O)6gNhbGrN zREyd*Dc}kRGCgVM)g;~W&|!*vFW7RzOfP?-uvBP@YvXEl!$MA#<a5lG{kY0!GI52U&t1`r8N^hudjZw5O>^1~^-=$I+DReC)5(Lr{ z!_5k_X8?w8(Zdrb&UHVBfWyb1i|k&k;hIO@WboUKROMiX~z`4{3i z!sU&~D?`XwZ4GCHq;gGneSQQB5EeKuf}X%*l9yk@XfSyKUSY1!BcKB%!}Kd1Z|JfV z8Jr+b?miyX+Z6&zvurZkbP251#VT}Up4cny7QDDU%N!p>DQ&af9{2dIT~#a0lsO^L zWpeGr+_-#rZ@_B?2tWkS$IkS5(Ps->!>ZB8RVPA%KMSx#?#jV|;`df_y5UGrprmso zB3M>LqBKU7k9W=2wC3-bYh|1L8G&Sp0Pd!K(|w2#T%#^;?SU|@h14)oe$D2`G*n2H zNH5?!#o+y2r5`Zv&wN8rb?opcKGCU41Lsx8fPtt?07;$*Osy1L27PaJcw4NykR(xV z@US-UwUTGY&mx!n+zeHD<9Y!=ysJ%X9DG(Ebc!px5Y1EUW77C!)BCW)^kX#u@G4xF zPM)!&%S#@S;FMLf5qFnL(&7iZKc3P9uTENj>Hs2La^%&s6{nR@R#6#lkIh-=TFIMOKr40 z>bWlvv`MeX9q?BVFsQp)i6{N1TLu-a_RMDXYdb0tRrH9JWGw z`})pRjmms1gKjF;Nn8N^oRgSy_gxv|*}$5NG>R-Oun$_cQW-qEZnN))c%60KU5*9e z9-JyeV@Uze#|>1!7+!FBm7*&%^026?6BClR-9shbqaxEkd>JUc?VgkLw&+z|-Ew^c z23Bg+P!Ff)4;2Bcfja93EgFL-ohBm)YQ@kY;X;qpxyE4f)>t{R*H8vZ0xWCu!-iXx zzWQ`kSnnQy;{hF^2m(Z09`GSgN1ci}gW48OIS_iKmiR{TSHS|0_$cA$ZR+x_(`Ubj z4;{FX4d>q=ZQuG~hBEr)UmW`a1P4U8)=H`idP|E&kamJ@-9 z@LhJpry!8S*Ok1;>zeI}$<7=op9czk^vvODFx|Gdx>kQwKCetH_Hu=@5xs5J&>=2f zqcw$RCo$zg<9vtMfD_K}vVn%BRmMKTSa?|pz=Q`d&Wimm7xl$~-vcZ{xd_%eJ!2Hw6#BX6G12~f5J|F4YCNuR-&*;u+m4i8SS3gV?@5RHTH&Jk$ zzO6=e09fDE63D8g{MGS={c1I0BFiX7#{M+Vq&_LO0hHZ$D{P`c=K{zm+>H2f=k}&w zXLDCfHvwqhmVnGK+y}Nqf8%b33}dse^U1pxidt6LmB|ujGiQ1&hYADbq(zztX$e6^ z@~Eku{hpn`bT{Fu*p3GRgyaZEk$^Z1I(}IS z6^-ndvS`kwcwX)L;bG)HmkM#$5#{dOR`?GNobzaJ>8o6&I-&aOMjplWCh5kEI2w2lkZ5!p(w#?Hym2J6#%@V^TQq^*Y2N z=;3C-?saSRu@ZQNs%K4ntz+PJuWJ1H9H2YSpJ(zJcuyCQVvsQ%|1A2X>70&XpoTln zcrm0U#%uzhwakNKPX_W&El3pJT7e$)z&>qyo+wwl$=Lw89zJ*793SpUzS{QGG$;OK zeooVkk|NMXaUNnxCd2EIlR-d9j}_q9_B7N$@}TNhEaiDrdMBIrA{7CYe*8=(L*$iu zk`x<0c&M|`Y=ztNq7s{FybNFl8_6T#&ua=Z3pmdJEN-%K(X;oQ$knq}nPQONJz}C} zsoYF#qsI)&gdEk^F00>jZQ@^Q3jt-G58_IzOr64j^3E`Wf2HQdTBx&fU%lN}$0&wX zN8&+-tNcY!k%Vt?@2bvdejzJD@T_d@fwksP^2}(BglpqQu%avgMR=xfG`bLORF>*i z6a4``6)3~*t-f8~@URn82e6dUL=kTrl7b<2)-c#cn^z=;@Xzv5BZe!xYIlifx-J3x zGGKFKoDa2{QM|GIha3O+M-_t5(L+g2X6|nPX6z))WjYr35pdC2L(~}edlBJ^|dApMRjsO2)XrsW-QF*q-snSKWdSSO*#7QyXJs3@@v zoMHM>?7yF(DH`uaY$(<@?pp&w5G$Hed@?XVc!&vrhts#|?)fZbF*_6=+vkN7z6x_b zDX^GI&4?T}A6!ui*7jw4FO(yB?njW+oEfV^SGP>tGBep|rfH>x%N(o^8fWUO_hoF` z#z8C5>p!-c>EdWDt5wyR&5}sYiL2U2d)4#sY4_t4Pw$%_pt5P;{TYX@ATz*-rlxGjoo9%4t6OiwD8q6;1Bx1G z4r5J|<{0k&uyI$DiY=7*o+iCdqbm{ejIvdeWad$oAU924rBP(n&u;Kxa+8`i?adLY8r zjiiMG*3ikIj1wKeB?^C^l&UCWes^M8=@>T6xlo2{gkeBdSU$052pr=-?*O=gk+ot$ z@{iXIDzgjtdj50hJkZT%mP1GD6zYg)&~*q&JWL|1z-p!mx<__AEOAN& zkkWv#Y$!crJ%C5-HC|aL-5b2%#Gv;`V6tSm+;VwcAAnOGhI+Zv|5eRwhlxw3# z2_%jV>_^>5{9)`c1|AHb@d~QB@YLy=3gbsWqeV14EEE?o4|lbgKj*1*%4x0obk+b%q$73b@62(b#N?6dO(g|%1u7yR8U>tvj<@fT8OXpmFLT}7 zN-KtO2AW6J5e^0@I3ZS!3!GO#MgpIEx)zD<_$$_$zk^&xS}eO#?+q)@SvZS11ZOBu z=aI6vfpDOw&X){Q89f+h`g_>68{C6{;L7PNbD&RLzZL?f@%NFDvRM_}{Q)b-gQ4pr z4p8A&TtniArKT**QT6%8HO`3o+4K3%%u5vyi-(Q$n4I=rMpSL&x<;H^IqqvKIJRd@ zi=o5Uu5(Z_GD!?g`sSbvr}=(T#|MawENXU3X<`pv;ob#yRfL?Yv^A;BZV-8JCX6Wh zFGvAEZy4w`pN$rfImdAHQ1Rg#8h}j7QmL>o+MvV{1d8w0u5_+VOULThFnM?~7g0J) zKDv7&H~`bilK=b3bb|_2HnzCOf$|>SJRN7Q9RQnEKQvr>_n-+}?9sGy05s>a1Ectw ziZuRbh?V$scbux`A6E0kXddFx8s6}1#)!e+Nay3Q6gs!W0QA1Ya zZU+g$fjl;&Y)rDWQqa%Dj}XWi|8X{ud>j)*ms*(_d|uoHoX!%$q8H&uu;t{kV$lJ~ z1!@)wz1e2rCpl%}-9Z!6lb|A@2|3u|VfDXlFb(GALam`Pw+iR>?;=1UVi&rkP$ zXLjE;9CkUQqiZIbn16{sl8HlXJhvm|$}RgtA-^cyNV3tC$5-^*P?AnlGbKo)rO#u0 zhve)rG!y?iXs-CKah*&&ps-e^%8tC`fN!vHuCq-PhiMR|4pnAsz1kem?fvsdr-eYv=_t8EkaoqfCh0beAyFxmys)oFvvIma}n%WrF zfmnsLDpCW1?;5BdnP2bNHe2e;6Zl99n1q*AXj+g-4Dv62d92K}kkc*n}p6*UV9&uD9;wwH_<(%5 zkz7yjg5#!g2;Yg}VPMnhIK73(;YCo!@}ooS30V$Mq38f@?*Zc>?$@up)+i?JFtbd`OOKHyslS zKAYgA#BeyGqL@|Wl%1j=pJuo#jjWz(7LD9>KBO$H(|`lENCl%_%J5`8cSp7LIi$^> zHKNnvMuAUXD)Z)9h?Y`31wlj@p-w3*K3YPG?)r5QDviDK^dgktx2a5^^~!8_EG zv9k#fp=_Wx!wGtOXJpox;lhH}4|M0y9EVQ;_ot)fOSPET6+IztrjdE*$dF3{82$w235Tdl0epS$OH#wr6Kns;^o(KHw>Da+$jHX|M4(ntS)t zEoOML#QP?Flx6UO`q;za$Bep7+!2RUlIe8b*UR+tYkUj=fB-;*uDVlCTAPaRF7Hs3 zO&x7i4=)WlsOTg`AkBBlhz&_u)yLMbo}R-3N_|Ob7-F3-&?~#id=n>)MkX@Qyi|Pb z!7ZHNB37l>Xr7zAF=mA`&X^UnIpWJ&|F57Il zvDB;^pb+Ncuh~+&>-?Wtqy3ru8DUeHHT=^jV(#2UM&S3}9pe3~nx0qzKFgEb=&dINq8J+u}oh?AE|$0I9)%Ac?z}&+&-jfQScE3S`TUb z5=`+QHRN&AT0M8LrnPt~dMD`(@AeRv7vG3_65q`=1b#R{HDqTR%X!ARix;unuzbHR zcz5ZBI0T1KY{r`Y+CL5J)rQV@lS6X;O_{y5V~_W=|H~`ufsl$p z5WHi?kNVr+A>}7knAtDgYr&t>IHf|dqr^gEvcqb$80^~PJz5=G@AxFm%Tv-E=6ykg z@Ml2dEWosPTyuUMcvDYY$=n!aoD{?47Ve{zw++b}rlT78B&V8>nb1Bv> z+RM-}i!+!>JiTMZG)Ms1yFT~j%Cfpmym?Mvl<{kMt5X8Mscwz#+bj8;&esW4Sdyeb z8a|KrvFzNtP)Ko9-zH?)>hsB2&?BDTbnd8(@M*>AbNik2dcST>L=iE8*LRwhF7Bn- z!H)mv@M;)44U8$_>mTp_N;U(JG%oNdyMXF6vm@^e&&Q#}=`^Iz&1xEh!^Kj!PTN^3OwLyX>av#<60c)EBm{?f-s zpYzys>gG6nY=I67`kqUcA9?vhc!nip*lU_U1bb1d-{K3-4dPgDx`O}tDuYs#dNX&z z_t#`$yw^uL6}|5g*KSh3pYIC>RUbFartg06i#k1fj(7wvWmI3QH(vNQCW1-W-3BxT z(s*mjNet37tE)$P2h~rPvPc+x693_J9ruibXUuontdK%p#yRCBCCeAjUn;+_#&w!Z79Oo%#`b5HPh^JuDDo2-rS&pR9v$WPR>?zUZe5$i zoFw z1>CZ8q_cy`UG>CC7gHdmHU0Zi)i*IeU$;^Fr$|31dvD~W=P2osBfYckJlXp{H_p$j zl4ls;cr>8uZY3KlkJ9%Z-59T4RTrK`s_D;g9uv)*FWUQ!gS z5NwI97-)YmZOmxgDEDvQ0aP%lvstt3HQxv^s2*j=VMELwKVQdN;Z9^XgL0x53WIIE z?agzwcoq+ShK$Npa>c8qK36k&IQxJ&-)K?Qm1Eq&OLIgs-v6I}Tw!l!2Jni}YDre7 z1){pJjogdfaGAJgrEQxj=-R#wCl(5Hb=LRGhsfY26dM2X3kQXWDMwtA#gtToMw6>$ z?wT6a2br5ntViaPDF-2H3eV<82NL$y25sjo{#EM&K_#c2^>04p1@m2N9B zlmx7)opXEK;$raqiifxqcRz%WjDhy>^TP+*o=3rppF&?hD|i2VA#W*6CjWU%anzQM z`?LHH3WX+I-uQ>*tX#hf)<<&>_hz3;v&mOhZ%z8-{ogwGJhHDDyel>BCf+CC&Gl=q z!HRP^SX8yn5ZY41?qfW@g-(88vp(<{ntiY!-sN+*5~y@y7~&Pk+*4;U1yN7 ze)jQ`b>?$8W|~x#K|5+4!^Q2M#X$;#hYiyEt?e2@3x9PQs24Mxhq|I>2kG&)Em_uo zwipm^#_OB>(h?LZ-=5uRcy+HFmi_YTm)*LfoE3VYa8*Ue?&&4AmlZX@N8~R6k`Ayf zSUwE-6;K(heXNW$j~?K1NLbIn4?|3h-=3w}^V*KnQBGAA{Y~8b`76NgozHA$fxpOY zwO1B9NWY???}Ijzk7AU`hj*F5&4`X%SINJ>7H1!$%w=N}PU4}@SvOm+0a;~D-US8u^;ogy>eXPoEIF*E)XIHIqV+1UQ?nulBEvh&q0p5JV2lhg~N zviil=Y-1KSsZ%;Ukk(|LRZYw2D7)8bt|Pp@rm=nGk)eYWNNF+U56*sJ@%WoQYLmxXrd!JDg&}&e9#VyLc8d zkDrH8-x0~%}JdTDR{7Dox~MMIom-Nw42SfjZt2t^U7=-y1zzY~E#T3LJ8gv%$}47U5lOSBf{ zSExI)plhLauJES276KWJqv@$~O~RrVn-0D;hES-khtb?(Z9!Ny31`t|5P`Dh;I(^t z8!JsZ8qf(!f)u~h{hN>D$2C31XkYs%W<6&${2KhZ)VOuKZ_Z$KBNPt^Ru6<{x+J zQd7sLewvO|us%kG?7c1fm_@dKS!Oh``_&ODyQoSf8s0`kilLuI;+uK5C0-#usgjGS z=XvB*jcM)r_54PJu1jzJR*>0El&z_ZudcIZZXQdTV;+tAA)0$QM!*7HKy~)uYa}j=gV8i9I$=8FPa%V3_nM$9?<@>e}=1iKs-$u z^w*KiJ+16Vp_be5xf3V#dVXgFu#Nq;!LboEV)leC=Zc5dc-jA9>MG-+{+_Oagdm}m zv`V*hgMfg5EJ)YVof1p4Ac#mycZqa^ba!`mcXz|{CH(!Lec>BF?%q51%$b=pbFVTU zAYU>M&qQX?s#e%xgomu@{n6n{+ex#hbaT_?H|*sSp00VN z23H?|^t$QoD>&7~xcgWR>{iO<<~nuEhRbjXFJr>d z8tzK8U0bZ6S82E;9jq1L;XL>UIgEWnu z)i(<*uMjPK`A(%wb#&pHm;B^DlqJG^n>Eq4OA|J*Td!6ftN`*$Zb>Q{hKQM%L*}TN zYD(y|M7}@)r*eUXX{BxUz+w^j#TFtAma4D6b$}v+r+vs>EP#)*by`8vDiD0p5D~VA zSIAbFfOLWtTW|Xec|!aEiDcSkacOn?%IK64M@8RIDtT44-|aa?`YEOC2HRAm%IU0d z!gZBD-&XavnQJZ9>S1ff>LD}i;mr%;;q`s?;d2MX;q}>s4bV(e_y?FYA~Ja zTMBw*dKFsRV+M!j(`=5He~4Jy!u|5@3lc?Ihw{=v2uUdlPBt61WMQ2wI*s=7rCEWQ zMl%}Eqth$oE#bH0Wp}QWOKItR^T&*scd_vg+11m-L&WrDE5o9k@*#ywdtM#p6^gdM z|5^Cytd=?)7NOjd{Rfxz*9&An#7Lf56!4dco`nc1_cgtnJ|XLBk8!cC8ds_A(mE(W zSs*A>(#&P-sa!ap3ut8z$F;vuXUEwMlHqaFGi56uzN(`dEyh-KCbXy&X%cPG!z`R- zPbEcMj#fjVIwU@;zaiKxH`r%~@vy-ffc`8SO2kR26tMb=iw^HRhZI-};%Dau2jOFUdvx_ZAf+Ww(%`zS66{Id96GX{S&tEU>9o*4zH*vtOz0aS z{T=dYSTm`t7YjcSQoq1`4hG?e$G9q4yl%vQ^+`|0m=$!ARbi|gr{v8y5AL8 zrwds?Ehq&ibG+`HJ(i(Yuy|1t#>7w~RD3!j<`^R?Zu^5{WlLK}vTxwZ&r5XmVHG!|+G841qmaO2$XHb%E76WCcd&3no5jV#iq@cZ@CsmjB^(7823c1Ts zqdxX@+J)3^Uth%zb@54U@ai!+E{kI8jBd{qEl;_g;oN6VfZc=-di9(YrR3i5tK?TT zqlG7T{DIR}IWI)!D$sUbC`)^yf>z`fbhgBT%- zmf$Q2s!f$`g}_7|P(+3_`LJ55m`)7dvl!m`@=>fMGri=&SL@yDypVu)_VGyL8_;Ai zfgS0kmY4|AUHCL7dbMKQY5|>I<$5&Q-xp=^I4|aMKIX-2R-gHd8(d;Cenc92ZRgbz z^!=`MXju^M#y%RIR2xwt#ZK+6IN;8+&!;nXOk`2| zF0i!bx0|^KrT(~nN5%XnA3>w2eeF-W)ZJ<(LJY;~$q_Kw3yv-mQ9KlM4EZH!W!0xk z*T=-iW5W$~nvpYhryv#kb=Jn|6Ox?P?7y|l_Ey27UQexNEug;%aO}8@wq2gzcHH9- z5R&7ZYA7SSaF|Yd1~V^*tC>Z#@z&E9l`hAG^#ev6yZ6UYU9e0MT&D4^Xq61yZlB>V z!~x@XcR_riZ1vf-(ua!48=D}d<6|RUL-%p61Ai2{8q&oURJDFJ97p%Vghuu)nx&)0 zaBr-DPG2l7vq9~ti%eF|3Z0UYDV`>0DF3m_7;wShUkZ!;bQBM}@?&btAdPIr#<9>i z{NhAEkV&_Z4T-)8LN)Ze%+z$(OpsX_jtAHE%tOu9oT|Imb8xFEX&4k^d;PR^Y!|r6 zb!F6b5+<5V-B;Vb$H_v!8Ta4uUW_9p37xL*57rXk}RHh&$5LG5<|dtOciy z!qDpPxw#H4Rt-8ZSJF%EeG@3s3y1HH*u}i58cQ5MaD5R?cdeWsv3Fbo->q1}cxJjx z0iQr?)^mF^9()3yK(}qSw?6RHJ>EQQR8h#jZR8)H4g>wi@qkTG}e=;U}=CSctFHM*>222unQmJ*3lDA}_4#ow0x2=v2kpRUY`DQs+z#BTJ1>;UhT~ zJ$L*FH*ko-rNG6PN3ryRdkbWIv!fBt>?Pvvy@jxS%0SCb%osNiW;JjYI7nNh{FvQP zlC^0Ye4f>_?2NiB2}3>D2s9JDlNhjbZJT=s_2rfD;rK@^p%@OK1pCsva7sWiBFVtE zW8hu|4m)ls(1VY^*9e@KUCd{Y6`y@4qgkx``$C*sM^Y=<;MeG-88M9y(uLl$l=zAd z2Ul0G7TcEoszF(_8W|LM<>8bd(F|#|`pVKa&g6Qt)lxUJX!b|k$Ja3jLJhuGL=NXN zD*5Npj5l{PgLj|0WFB^AM)9oam996UCXCG!vfuXk6jnWoTr+LxuZIh@qNnrV=e+Op zHaFvdwDF1&!u_MrR~6uGXmkZQ?EUSw>F;27XJfLakqebWV?d$o7C~e%WDIO}-lrcE z%8Fe|-A7v1))0YV#T!R_gfrPQCE2F9{A?Y0Vc1G?X4gM}av)OL9|Td?D@XmFw3PCS_EiQ8&)wh1OD(QNv# zU~72ZuI0oD7I(yS^KD&4u!vtkwqRo{%4ns>Yd78`sU(vg`Wc!zcqT5uq&Dhj_ zQnZY@e=AOY@vW5{dt++4+$^GULE61^9UMZ-Ccjtl@9d>-4(BBkZ91k%QyQj4G4syK z3|Axn$5C|$UAE3?HNS+2<7Q;DV6siP^?zn4*a#!Xf8VScLm?+r)yN>Ikni77tX=pY zq-MWB%C&Woi7-u7Jyv#U<1ZQlP=*Yij$|SuG;v&Kq8@TKvJXzi_ffN#n^mYpMg9?y zZG4IH#SNI$1Cqg)N^v^-9XTKD;$W&rQ*BpQjV_zMhuX&5lJNE(iYmaSaP|ReHr`*S z0ENSyVm%l*vX2KlYGhH0O415A*}_%7Y58Jtl*1e_=YP+B$~1;>e;sIlg&d`BT>V3& zyNJ{&OLV9Q`j8szGfwn{!PVJCQJsF-(K|$i_i0E`_ zkoPidu()0*be{UWc>6HjdemT6cHo;%Af#ISQ%`EmEg_vF1E%Jq`#tGoL@TJG+UtSK z!RCnkX2;;OK5`=N=M+6%*LLzT1sej$_pFDmHnk5T(=efwD$)fqJ-Tx>e2;6k{gtL3 zD21vW7_{*&xIiUbX&jlQeNT5pZ3<@;qiAastEXL~>%t>B|F2 zT#!oYc^)$bh1m+cl`dN()qHdbf~mK4l3DMvgS^6nvXzpgsXo)Ntsrk<3ZD3HI<1D` zJ6B}czWy$f!n<)J=hN+k-`@gTO2sN9cs~CHlh+Q*q2|!PqOSci1T{4O`boPrS)e4- zds!+>RDzA3nKxI0tIwXT@N2|2{o+0Ri^>NiCk4MVzqmL0 zj3rw&wVk>Qb+Fdk}Uys z;*v!;sTvL2v>^SG1BVY4#ExY9$4^3NdL5nIeYYr~++?>Btk zNTGq%IF!81f#kH+p8$?$IG=fpH&33t!AWR4NE=#vlT)byW{oCK1=D)vsd^XOYO_C= z2*}xU?>R?6U4!2H%aaewhwisZ(%m3~b4_y%KtvfPo&*&+2ucyIHcGjBBYz#F7G;bY zi?SMYn1#78*yVrtnGZQ=J0}GkWN-M~@g&#e^h>k0uGG5w$R&oiH)1F_PEX+m$8-ax z$`h^8FIsOrNy9Sm4abeG)qd|W=XqC#nw3b>v!7L2Y8D*q?N7nXp!i^sxeQoyqeOmn z*Uv6^OCn2A@pU?3$EjHw$XyxKsgXyXX1(VNI`C)|3qQ6W&B%^*7st}P-rX!_aqwh4 ze?}h6!=HfT1jva>OBZzsH-EOcPlQ8hq>g^9H* z1Cp|YtAii&e}V07$KU51V6Mteo_(m_ua~p1=lusDcw53TgWN5lQFHuTnpcU{?+Y-1 z_ZwrUNUnUnSfK9AW0udQ>~|o_IC7Sw^qW2MK_C9Q3oEIPqqSblj#8ibp*h!C#771T zMU9`!5w6L&$)6T24=wjL+SE;j6IG~|)q$+XM}AL@Y|g|e1l@Rq~)$1JsG8!Mb(-IRl; zu9FA&55yu(16#5B%thI+@U#UNqB&x#lRCPY}AC5{l z{ec6bIko2t+{-qtMarw%aZFYxvgX_wkTqYsXgqGDkZraJb$%jO#9`bX)kfVq6ZWy6OO)Tk zwO{3_wS+2R!U36G6`!$&@i#f)Bhw33I2-(rK_NIY3+5O;vwuZ_7<`o|Ek0%$c{OoD z}|wh>T_by zIr;KRL$(|f$tf!Y+pVB~IT75Tze3-J@Qamd06#LMXEW@N>((SQuHU;K`Ms#p$9@FV(~Oo ztf?rdQc2UTJN+9#d2$O@62Jo6y;yEV$HwdsNBe<=1iiJc?BSl%c>4f{#PF5HtFw9- zF*d@eu{$0CiWtTsyyP^8t%YGVdd0szQIk1DN#obR#jr;XaqPs{$cTQ|2lXlnQ`rQ1 z8DdO9 zHQ!ZeiT;!>(4;Eb{5n(l+-F6P1K~u7xh6=c%v!~ut2;0mjFI^)b?DG$ZIzKp=_mCk z8$TelZ1Fw6O#f;Tz4O&32{unt?Z=0me4x9#P3BD1wCpp2jGHQ35&T)@O{xm)w!P(_r?1Yw;5~Cm(FIwS#nKwxoTF}+>`MfyH1b5nU)=Rb-lHAYdE2Io}Rkd62L)I2-zRm@pa^5&6>vpg_i z5sbOynp?`olnXf7VvpZ$$ZbjbOlW=GLP0CiHK#z8(S;Gr4ozxYR3Qxmo5Ic ze%_yFjUJ);THVNLR@2o~{2Z}=#HdImdTF%Q7An#w=pKD-?x6%1zv+ z=gucC89I+LA5bLvT3gNZpI^+Jt1#%QO)?5~$-^FV1kNn1q&had=CZBb@ce)KcGRx< zx)v_)IZ~k>HzCPvZlUa5o@fIiZaFZ2wwXYkJ424^({=E zdQW$Mld-E=Y}gtj3bys)C%)U{eTf;U^_4ZEfKF6LR|L?F&nfTfhkfJ%H|kE@4Wx_wy2-N>hq%!S z5khtHmhF1S$WG!d5hKR8Dy#Hq*hdteY9K4mSiabUw~rZX{K4FzWIZjmYBxu@FtEZR zDKiWqHXI;Xu|?^`6nx(fBVh(3U5jsU_Cc9FuC2Dy0`sEvBlJpRN`*vx$}$pg4B6;q zJ@MMF#XqT9>8LCNpYv}pIL>n+;j_lUIHHp6N^vJWNWj3x;%}Ts;+Ean{S|?YSvu=m zyjy|fa~+*1()yn0U?j@gDYk7SezC82Ir4}nXq+EB^)DLZ^u~1y1Q1d ze?w3)wl|w7-tV6AJRa+i+nhCqZ_Wa<%vy@r>}JZ7%{oa5MqTEdI%oPKWMvb1Gk2-O z^XpIabfhltI=fP1FNs1;t)hRgWWT%3g?+4cfZvspBI;zrpc-3=(_wZrs7jlbvT}YQ%=L}znY&{s#X0PUy z1JehjQa(-I%ADtzFGD~;v{r_guRg3LDo@65YvjqI3aX4T)ra2L* zE2T!0X?MNCC|2QVdh@{Bs-NQ2VS{PaFWTn@^`;nHXT)%}Va5F^taqGb&c-;G&O!JG zj=QP{mnRfRxJ=>N;igN%iU(?9<#0;bh}7BxFi2}`KY3!HV7+FAnFO1}L=6$?qbpW` zmL%c&EuGCNa;h2T2_O4Q>3W=7w&7^!>g=N#PiQ7uzvLlPHm@|{Kz_?$hC0%**{%PM7{_JRm)V9YD!pmh1s}5n_H5|~cgb`hfQQFO@5eaD17DfvblcG3mS%)?6Yw@=4?AoXsvvf ziK<#^puw?2x;8n`5e9wZf06tLw)InVG>9`8#>cOdvh)d!eI0)wo)H#ia8qjnQ}#Bc zQ65z@t%_8VtJJ)w>?U*SbaK(aHqFk@5t#B%UFMenwo;5 zY)jMMP^S(>zW!Iwxv4}p9z5FvsCNQKvj8r1%Z4%Rq5^4UNM&48S%5)m=Rzsh`K~)! zLKpw$0V%`rLNBl?HC+mHzm}VTyK!z(%P|j2;#Z{k^WI3cm>ZTaNaa}L0=?l5whF${ zM=y~Ua_@!EwutwD81@^r&9?u7z`sbbOqJ@(kNS^a3wn7-oF#6h*Z&!ceHDoNncvkD zrUH$ALOD}e)CXMP2?%8w($plI_)m{kyO@X8vW9K8s?tDkO2YywKfcp*KO6X+V|$mA zABj)0`tI#KlvPiLeor0imGIPARbdoC2ORqsx_*DtR%z}@%hP~6bd2wnn5!Ii#c2zQ)%FxmYrG)-UW(qCB{y@~8F*RIy`Q+T=ts8pYV z!&J1VA|Z?Pa7TCwf4**LwL+^JLwP771mDRT_58>>Qn>WrSVWErqpOo?)5Y?!Ubcc0 zZr1BF8%1O)I+z1jUj*`lh;1fSbfHr#607smkF${J!sR9!HAt^;QUNDkNG1F>DbG>* zo~>@SK`Gjy&?8f)s7{_o;NcwOmFO9jw%m`GgWu}qLb`d)C|mYG7qN})l@yKRlH>bp z6-&(R^JwR~BD;kC|2Fu_Irn9yW;IiaHaMS6jqlwL6C4^&94HC#B!&t?;*4S-mN$;| zbQPujT&*xtDnRDTqR$E!C`ZIHcU?s@b__a+8B8-jJRPYYG`}kIZsoE7mx;d>YW=d8 z$cV{gN+A4M{i9KMgjjf(kfpb>uHnK*UeU-t92Z-e#ekUfn^hX|SSj!S86?WdppD%YGu4=uXK#fA@<5kn%a(r;l#JN_r+|SFfU3kSqwNq_A_M zT~<;aY<=!IO-ex*gc@j)b{+I86DB>f8NY2YCvV78<{SUDSk$Pwj8;-;K>XpKJm|Q* zxn)Q$oYJn%OjjV>5$Y%Vsw{b1)Mkq*NkDs$)!00)x5KP-M#ds1msOL&reiNmOO0bQ z(Qx+sC#8Sb?o{0^BaVHCc^X~@LzHZlw_bhT2yxwZ4=vP5Vvb=FVglW#1toMz*syPpmkpjIm(CTuRscAxAgeTFv~o6ccOIZ|Bx2?mD}dFL^;P{OJh#SSMJf;ev`z5|XE(sx332s# zm-_YWkM(%^+xk@+cO%*v6&u?KP_rV6(i2L$zR7;12HvwMceHFYBf{@99Ql!G@x<6- z?Ovc?w6(wNs*FcErAvEc!YJ!rx#V?Xb2$y?H7S+6Vfq221=KP>n_pZ&F!|%9;}fJ9 zpGW;&?gL+3jPm}c0KCy4GbSe*O)^Wl1i4~Q?FN8vgf6eIqQ$Nb=V zb854>y0g9|ext+>4MbP7Om-Xw^JI3#T<7Pz53PQ^z4G7h!1;U{JfD~;U1ZS?U$>iw zqA#RCo)~kLBa0o9Im7f2^$%svn#UpM9m%_qO`O&yW4?+~0R}?&pp@=iVxQu5ZY+he|eo zYl+Dj{(L>L_-}`D%h;#(2Gf_LM5>z?H(zevV3|tGJ4lNEsRcQ71KrGps-A`C_l53I zY+VR&&{#qe*(ZizH&)G6TE;Vp{z0B-MCv6gT*9~!p-b=+G=ekIaPwOA`2`vmY)!@l zi*lb8iwcnp+~DBKN_{=q0d-l&v4UA0oimq1jAq*DkDNW`e}1)7F>@!-tDUCdnwX|v z|AIBy5BL{Cg4G}|I}>1b)%uK*7Dj@?v^Vr*QLH~3!0LS}Y-Y^aUwVL{{f3nL5gw^%Aplw%2T$c$Y%ylONsyC;h|QYBjjAbei^nRy;ue4TkY6OOJWG&J#*B!M zX`ak6mUUyD)%JRQH9fq@<2;VCZQI+=g;;G=6)V*+&AyXC1t9Kt67pB;)~q88Gu*kS z1bxeZyF#Yv`}xv&4||~h>fmphTlJ0SG}J$RQbI;%I659B0%_HQp+#CVD^9a?*{9*7 zSh9?Z6ACESHdNuu#f>3%6TiTSQAQVo{T6g&+cBs(SCVbxYTg+ufUp_9tZZH*=P;UN zky~0zJ(r`DVei>JI*mbd=fRmi@!@fkS@KWA_qPwV=j@aM58vyu9~JSZK+qj+9HoLK z!r(x&x0YWc>eD1}5PO&mOH8W-4)q4ZTs2Cj<_4GXQKIQ)8LrNM?-?l0-xjzRX3_$? z%(@m)DL;fyFI$&1@*38-LQXq6+CS0|bGla>*u)`>Z!zxqej}T%kGr`~V%c z*1<6r)&e$$h&Wdk9dB`ywnwi71Y1HlTL+}DbSQjaKGS8;B{K-^_kwoLHr53_u&?TE zN0ov_c(T+bX=OnCa9~sz`XROSJm zR=VF{G>-=ZxpMhr)@a4mVq^1_)@Q7M%8w3J7Y=b&_=;K63sa!E2X7q8u9KaHGig4* zUdGlWGf4COrs2xlGcQ~Z1LoJQbu#tfh~U16^lJWn?P1oEQv$(bqifD;%tHz+Rb5Yc zBJp=VB5N(-JbY;dLt;7UR|nOzq5n_=kyQ3l3uOFgU}$sGi7D1 zZ(L@BtFh|#^PYBm7i%OKLPA1DN=mPrTUunCoq5PeNil<5{9PDWSVFP1#b#Y^U5Z5f z@v42(9zals(aU`C6P#ZI=8TO8rVo+yWEfr7)I1ka^kg<_RX<}|X#S!KN_DN1JnOQu#l4imaH*w7 z_>paDdC}Y4f^)07ZQ{gE%18!&m-qQ;cq-u!g2d~UQ!0|p{{8Q?XMuj*zh-Rxf3nst zxj@sR1|zo(V)5n)|3hmz)ows6=1TG)OtZH#e+E8s5xvSqw3G)t3K#TzIbwcfWMpY~ zS4u!YK&2fTPWa_)+#o@CI8UP%IsRb^_K6hFXj%6wc-x~n90_=nTuAj7PaSAGd|PjO z_GjoI`a}Fr)Q5}DhLwNkyP^Q*kT!m*Fp8qnlo)76mz%fBnZ3Atg^JAu_uKpJ%tEY) zT&u~kLS?rkFdwn42aG^a0aH-SEQU2*Q;Fk+lMM+T&zL)@s)C=BKOen7ysg#mbIw>d zna!R3dz_!#PcIwc>JO@5X{mgum+rKjK}*_lWV_lVS#^78_a{aMzrInmjnTZ>?PyB$0#BHhNc&IE6s_A5 zrnxzEIIY`|VrA!=$M3=YGdjvRDt#7`g3nIS#o^LvR zfcb^C_OQ}YB(18?{FERbhr9z*`69CQRo?s2QvM54i~WUWT@w?DlamvygNb4j7K0uF z?G@zN&C@?^yLzmDN334!lkm_Qkfj zI5Oh0+fhr=CHx!BY9hklt@^{@#r?mY#~6Aik>qgn#$i?Qx;fU`Jk!qf7KqJUk zi(^%58yWb8Wk6;6F4d;`N^dWUs-3C;c|6TqA-OztUOYZ$4nj_=?_FJ8hSwLz zELsiEqB$(z(Sa*MT_sh=d4Hf1ir+eI(y3qse_#E#SQeFw^e4VK-tx!xro8_1CU!Du z1g-mLB2ch2AWi{?2$Tj5cNh~JrBBaQnbp{ztSA`+BQ8cr2l4U z)g%OsgP_LW+W`1uL~c>u_igrI0X?VI&rU38oRIl)%WUW`DM^*Te=d$U2e-zHj9LQ- ztI#`JT7DE37E)4Bcuh@D8!fd3{nhKl25_KQzB5%Gk}8$Zv&*U3t-xdOa6Ac#1}qht zahHQJn8jp-7TRl9Yb>NHyKF!556;PQ`22oZ^KxObneKVOxD()uI?S$fqXk*Y zhtGJ}ffZ5Kx#z=oz;NzU)}cfMrX%O8&=Y3PVCARzxbym&%D=$_qU0OnQUm&0`sdtF z|G8TWwd`{2-JKO#P$V`+LmoG{y<2b=^;!b#*36|rr%@AIRbAcQ+Z*^hIoSb$cI3G) zmS#b&Qtj;xH$&CMPUWtB0oG;!77mVRdwaXCo}MtUg+(~!WYNHtQ{B^etyMn*lt-M0 zVhI;aHRj{BaK$F6odT_hVX9WG6}_}W6G^81u7A*>;V$_W6vB`M%)czbDS5~XgE$W| zX{;vVatRcZeubb6|}Xq zO?>>+U3OvBN#y~&Z%malGt>+K0jvOqM!^pY4^O<>@%Xnz&G`?23Vp8#E~A>7KKlIp znONg;Ik1}G+OylfGi}if&tvh3r2JvXZ=WyGR@*+SG=q+7W&Na)8g}H!y?~3}fj_&z z*tQ<%@O2>PW2^2c#LLp>xo)d*Pw*`{r!13m8VaiULiJ; zOGZn_aY4?iRgZRjSN~br)_~P~rB^=3Ntyl@oW?`ZG8&~}$BFRY8vAD`N8mbvN$}h0 zEFU|#kC{C)wj5<2(>}0t4F_nnuK2Ga{4;7NNmK^`3j>X0n%Z7l6NpqMN;uTgAP<06 zWcHKJ(b3Zam~3vloxZHR8gU??q_LSzNGFT0U{7F;y!w;>a; zN^SV3KaJzhJ zbvMXj3yR}rPU%@M;8}j^&~v?;)kZJ0h%rXrcAs*VUEb~$)OgN^;8Wc6OK`bjl(486 zSXew8`4!hFPqq^fBkt&zRozJ*Cwt1Br=z2D*|nr2H=a>hlm-mb56plZZfd6>etcY4 zeyYPei6~@!a*_2=WEEP%hP)6;>Imc$jiQuKL73cZ@87@wb#-+`M3av9Uh_%yVGs9E zraX=Dcp=&7^mKL80u2KL!%b22DN$KHVlTlxWExZ!l3QRAARUm{?$U!zB5cj+f0*0H z1LjWL$*ee%ja&apyR5}yWBitV<7m4s4F%W0e4~8W8Ttr|l>B>~s7tW$qUibwnC`7;Omvi)6e{#K+?rKh9B zu2=hGE|b^C4F9tj_ba_zjIWompz?t08_%nXPb@@k=z>3CXb}@o^0K&O82>a7mn!bt zBQS+7wx@X70Ii`M*e@qVOh!*@Pd>oMx?-NXTpB2@b>|Y)Iby%^z@{Uw%;Yys=Xcm`Iw0BX0n4K)9e~0QoF1GK zIv)n$!{WKAZ}L9KA42r^-^98112ZJh>2cG0mc9FiY_WJ*EKM>XuMI_**pBMV^UeJD zbmRrMLFQ;;y^g0$*GhLxNO?IY92{Iwb+Zf-bDogaDhg$nN?$5{^VE$GQ{xLN{$X#V zBKP(QXOi*p@&5EL$>LQBYoVQ`ds7c6%7#-}rL>OYa8-=6A}kSUX=`kMj8^kS$#I!n z{Q1#6QJ_#N>ghv5>V#<6c6YSN(yCZ;*1_4yAmCSIVl~3Ma(V z6OQ-x>X2+E0x~rbEBDg??S6&x%(<@cGBO(-+qGQ-C209sP)fQgI ziAa5TiT!}5-m+GvuyT;CH~`F^0^I5$2RL=nhbXy+8w{y0Y|n@<;5i6;nsVt0%LSKQ z8jzj6hp_u#JVC^S*j0H^^cDo(J}R^-CmXOQ7h4{RRPx9*{J}yxJQ)FhnSM7Ob%0<} z;@TP|SH%tlsWO|o>eY)%-488U_=g~6GA$jQM&t^X-P_gMM|(DU%?RDO# zZ*ryP)1Tf2Nec+n>lC6YqFp<;*$=B?+Sa={*=%QBnQS?cfg59aoos`4RI>N7j0RJW z_FIVuTW3p>IZJu>`2MZg#;!tes$W2~#jcNQl#ysw9qd+2LzqVb7#&kn0Fh=6Yq%ey zpD%#RWzW3Ws;tmIivYmGJ%bioelGy=!H8^^dXdT!`|dHq7w;39k5Zm7ge z^^OC9cM+Vb@WYe{hV!+A4vvpgj*gCGBqb$NywHdTR?g#$TD#cSnN@Gfz*?eSQ<`?r=I)BJPbn zfA*O~dT@nwE%Z8Fesg5VdO~d?n!42q=H5IF25mg@a3fK|u#gTrq(kd-$S_0@<#}KVTF``kvH+F z8hZ9kB!EE7<>Dx5RKxYUK$}v*4|2F7iS+z=#w%DDn6mo`0>#AgjOi=mHWq+fitr^ux2`kv;cYL1HWqtPrZ%zqSItci2>Ccf>hqs?iiBa zJK3Gtv#E$=%$n}u4O^kXkw{<1gt^nmwwT}Sy(kDW3?hrnNpu~tNJ$d%8t}tqPPbm| zkpnE#>XR4=Xei_s7Q57tv%Pt;0B{j=8nNuIWJ7qf!_vF`nTEXaG7}7vd9;kn11A*mq7Maw2$|ILqsh}%LHSR05$qS zDg+zuQYqy!GPN5+nqCs6{y`vb5E)F9O0%1FQ3UTb-SAu`^b7kW>UT#A)6>(-Z_HFX z`TCttUThy7TQsIa8-HBw5!Nz?e^k|+R~hXw`sf{qCO+J(TyKe^`o3%u^bH%A7JjASk0CAK3&mIwR2C?u zJWQfXaZ(=ah)T`?60D6}#a&jHm=T6}vGyb&Hl8a4X;aF|%2rq|ii9~{o|w&S`}iyF zmaiJhR(-#{Va}UPMw=*E)o=x!InLI&7}aI^+gp6NXOgoQk=fLB6@MLK%|+2y77*{O zba%)K1Elir9Rb}22!Wag_|R#8wfi*fj(wCuXNlp&4rWQi4>iT8w3bB)C_f2*4D`p8qlb~(*~0~obzk;X0i0s zEn&IZ`NONrxEtKSQ@983>vemc$;uF876MT@493FV+e8K0y1?4*d>4yVJoAM}-fkSg zi+FcaUpwK?@*Y_6J38O?4oI=DSPf2CoR|>b-uxIb$GXnRz%LX|=?j`TZC#<#DVqOH z3L%)0;CAfvT`xl#PJ$~4>;}2Lxds+^u(y|pO{cQAA6;T9zhJ_29ZllGtjpogVFR=K z@_~92o-WFr_Y}u57i%2ijRt&5+QO`&AiQ6|JqsFsO=5aoZB`+Y29xcDihWg4dG9oL z|F|JdMyTF*yrW7gRYh95?GGtK+pxozhVvmd;7-S118+E`<@04x|6w?#nwlDUb+_f^ zWnn@to4G}o^T9lO{)ZD&@{L9v+m6bDMI~4aky}Lm$`boQr zTF&iQbk|}CPHD@&PPNor-smYd&B4WjFT7dRwKUxk51do20fE1`p*+!C(EFS;EC8DDC@I}t9v&O{+Iv5sL3k!GhCDb)tX?5yQwvnuHxqy0=PJg8atIU+>kC& z!u+jMh9Ry|PR`OiCRZ8F>VNPG`$hP+O;Z$UL&mL{FWrErP4olOBf6wy7GJ>e(n{}) z>0|zBm7ee@!n8AjcsENcKRvlxy|RcO=0d14EA-I_!P(VFg2~qOZ5}!((jTgJvg2|( zp`EUEt?fX{-y%XeUy-xj5z$#S&XP6I^@7g4!&% z)TY{M*MdNY8p8jm#E%`g*CG%w0vNVjWoKp70chdYPA6M$rKEbPY3eHMc8QdgmHYW` zuY`D8rJ9}K?!UDmZD=tHsUkr%lw1~*DlvHFPY`KOV4=JDmmh&BDdnotK8Ih#ZJCn( zOd^!E2atz4-jb&9=3_!vnDpRgNFAVTwKL|uYB|<~Sz(Rmtjbo|c8_&c{;P>qYL5x@ z2pV7~oCy;xc{b9Kr2VkN8B5RieEHaG9|LE&t}diniJdwcu7lkLe2iP7A@6aBEexQ}l9 z?iBI7%U=zS%m@=KMiv!{0S%Oi?WWx6xIkJZfXfKFf|gY31E?M|jp@o03(@)?K>8Hq z-LQ7d^MGCsAoz8V&^#0nca|Dnu$4!p_)=V@EsBy_MgVyCyY&%1s0$FFMmXnEx);w_ zJ(az&)L&@r#PEks{529nu%rFm7;~H2h!0Kn!2dBYBZ*;jTLacLGs}T6hUetaMMXys z%xojC)wRsq7+yc&su@g~RPGo>-z9t4T$Un9z4bT} z66KrV47T7lk$x~)}MK*ZR(5L!{&@*Z{$2=#MJYYDzU#uix3xUk0{oDTg7bDN_l;1t*Pb zBQC~$@5^1!%CUO$W*ofHOZIg81EmBkp@)evo$~?@U1Z3k+5;8%GX3!t zL0qd(O_{qXo2yj+D1x-Ym{vysm%wo6=3^5tPFQC0_#uz9H z;UP|=D|n7@A|3x0R@X)+n;FX}_4K~_gASd&>*91g?FPpFXkkLIHm1%yv_utsY6g4; zU=?H?6E%NzXrg%5rt!r}%}2y1=O4mj>T7+7D0LN7Pzc{xps{6{|5gl3c_ar$;-FsKu^IV5~>N;#^$5b$AHR6!7Kscext3>YC%Pe*D4s3OU@Y!hXFAt<8 z7&jG>n`lywghWLeOihFZ#?o)vmqfql(&?b9>yS1tE31P19@zwI<=S3Fzu1)!=0?y^ zZ{$Yvjo}!xz?S=<8}E6qSplru@QNpmx=#GX{z%3XiK&-!e*e{BLs6SMV!RS-R5{}p#Npg+Y!?)4S~$TFO^hEAg@1k zD|tXMCGcP~XmmCu-xq%49qnL_ki$F{O&ynhVZ>D+JMf>lc!D$2sv=5Ts-20ZeFMq- zqSh`DY9j_`;sd)G`n7Ooy&1a2RtU`adQLzsUj4rh91xn^E{)Y`j3R zhuu;4OfB_U<@T_GO-cp}g=g>b-AGBE9Uy1ynaF^~N@EzD=7SyY1hWWvv z*hZHsy{Om+{Fertml>%VtnHOP=zb%4h}&9pqrY+}o?8}FqEn}J5&<{s3W`Waye#m% zYYXSSF~L}z#=H!^y`5Ig#DFRE$eQ;|f_DgLPj9kg6wN~ssN^{DCpkRmD*$G>>le^{ z)%f9#iW9Q^XC_Sj90>AhomX65YE?aV>#wU!K z@%3vhWne`69H@v*TCk9F;FBlVL;rS?5Tjiif`G)FC8S01tT(el5iE_Rtc)Ye^I?guDlJ~k;V8F|uPD;k67`2>} zzWu1`VFyjYe2QCW=4J-dE9QsM?0h<$U6+I?Ql*iCSO-TnFm zTN3{QUJ@(z9fw2PCX2(~CW}$u?RX{HT3PPp%&7@)X_I9I#_Bm&J7j@_ox#>QL@8KL z*+;M3jv}0}Ih;`RH)#j8T!g6vHr1EkNKU)eKjmrPjBzV{ct!fjo%EBN;YWtS%dVT+ zqEp<@0wfnN+;){Wb$sSDS7Mo&J1@5mCvR_wJJ)uVYhr9x`CUKWtYZ+f@*Ua{hauEl zQ?$E|1{Om_Z*!rj*J^=N*J%f9)5PJeu15w;Esk+%u2(M)Cu+-2b*ygfZUo|Q$H7+4 z^RJ5ndAT$uTf_(V^~m3(X$Li-guhe41m<)!f2wX2W>vHOHKDVwuMipM&@}76RQ*4u zzB(+bX#E-t5D`!iP*Pgj0BJBlq!Ac~8jzOmPDNU}yFqG(8e%9Z>4rgKKsttyX2|ah z-g|%F{=>%y@tnQ)d1I~h?ob%u48E{|7}+yv>t6Z0d5*2FjamrM>hb6+#kfH!(4y7{ zf9r1G+|a{g2Yq+dpoeCW~peKf4{BC{6{T4QrM{jmQ zXW1HUP^G@(^I>T-6CHLYF}JAY$W~>*&w5FMxa@Z)fip#Z4r#2xiuw8Tzd^GZU?&`k zNzXo3!znh^FaZft4D3tXxos2|_2un+9*TuEZ4g?;|NF51s}tZP_ttE)W~V%IuMP1VDcJcPQwAK>xP8sPHK zx*IPZXKTMpmLC#NtdKV%F?tn$s&P?&Ds_OYT@I`l2jQ=^1+CkaVUnmmina7#W4$nepG;J0of2|rrgcVpqI=#cZVz%E2u>#{6}9x3w* zquhlj4ym%*DD!1#u*2(ToAk$xP~l8Y`>}M?f4xS@i;9Hpyl}p%U1aU98SH}6WlCHp zxbF_$?%*m}*aued_{zI=TGb4Mw^N>WX6x_jNti01WEv}DZ6;M7|6@nYb_e1+sMnRD7+H>GRhEm0de&hRgVI&8p7yHEGmDEv;v z6*k^pDLeQJ4m646LZ#fRo-o>!3k}3?j9Aa@*bAtq%mI%3=_i!P(f>KbK_36lktz`( z&Ye%VYd$gDXfbDxH!fW8&T5|HWE-M~lti+16Y-Sfg0gkSet^ogSs@2ms%V=z5;b>d=iC3hD1;BdLY;PI}_$qc3$L}pnlJ5-cH zMcns7K*t~|6LasDf%799y5c!t$=}eRqf4}vE{pMeEQKF#ge#QpRcU45+3$MHlE_M; zMJOS{31-pVruWQhzJKSy;W+7NzRaI=_f^sa2MK3V+aV6l{hv361YXh{{W-RODuiqE zRW_Y~+IZPlS<@T=FT)ZEIj)hCTIVBwx` zla_uMJKuy7!yECnbFtw=f+CsolLhV~t-%%;P>u_eAUF2{rUcOjPNdUn;+$Nc=REA!`tOafq+J znMx?iWPqO9yQR2lqq7cnydM^{i#*)r*^OP2*$<9uyZog*y1Ptj`Lw(Me}OPw{XTXY zUXxT+KeCiDd;Wv6Uxar_c56W3{ZcmmM4s4+sE&9QyPbr^S^F?+BsuXZv(qR8KiDe| zv-4>Y-cmXi*WBaSHauOI*~K>%dlLtj3nxvfws}$A{>76K8U^ANgW~m%sJ2hu_XKb0@(POY|HcJdSP1IH|U8r<;P(1G49*c zfsnuEnctFoMy&%}Wh27AAAJj4kaOYE}tb>4Gt4) z$S+c9%MxO`M6{~9kEO=6&ahO>=h4ep?XFj$zb86D8Mobo@n*~;}n11 zq1qQYb@7;4J?*+tnf$Zlm$ED|W~*t*GaTp^&OH!f!)^@GG+g{c3`~;Z>~O0XQDD9E zaQ*Y>c(Qbl(2qHZcjqAg;GSUw|GX##7vLICtmCx1F_~UU!1m{d)p9R#YsIu zru`VRT4&wt`A9D)BLi9Ah~ah>IuaGr2iNAJdFEpRmFss#Uwlt&y^YA8WES7Sd5uH( zDA+`36G`fx_l6G+&s;>*^6v1HX9SFd_`aN`a1`+cIf)ORhc9l{dws4ed&@Y>x-W{5 z+{SZN6jNj@d0?4blY@pCBC@A=_wykAp@ zs!FAosDPOJV_{hf!t7+yD_Wx3T<2BlU1}znT<^M*38>zBH}Qw)mes4l=cxlSqvd&| z_DJTh8m3BB!)xX zE4Al~^O_sl)J{jVeQ4`-zx-*|P5dlZJ0YC}0$z+WDaT7=_Y0g|&$GQ^BCV(Hv6B){ z@pCT_92%{>u%mBUdW%}N&&ky^1y=D%BRys19F*VlW%g^2wUbcN4m~grWjQ;6mb*_2 zzcY8%wyfBjv1{0T719xKR2o~2)EKg$;JY_&__wUQgKtupK{Z%OTS zJ7s7fwB(CoS@~EMih3ifxGK5?p3t{Tt0h{kja%ZP*C^0LIw|&~*pmr~QwQ(cV5H1= zcin5_qIWWBg`Ro2%YE;y9S@?Q%xM()cX?x98x=F773W+XD0k?Qs~_;o8JptU;V58szVp$fw!z=>t~t*-)z8vVbdI<>+G*V{e)jZ5AR6!#-`n?C zUed@qYx|+5VnKNNN;zgRE;-`E??6B5W@uKolayRIeVuHFdyh6k14h2ES0cO`*ei=} z+91YT^(Drymx&rhWV_n2PUJPtEUj7aFEy&RyNR=L%P$iRk|}+zAkb%DmN8TK&6Tw# zL-3v?B-*y(c2>Q<26yyE1&d7ggEM#0e516K9Y$c5mHGSi!2*Zv(N=hXh6Wxd zI-j}PQPMx_Af5peA6*H0PuJ?Z3^?BB98*hQd*U!;gMWNNhYLi_C!FiHgH$zXbT(Gc zABBEv*8@FO=!_>ilhF~=EUmG!`M#l!Q~b;&Sd86!>%@0EL3ch&TVbt~m9ZkyNCKE{ z-+R5gQxo4WlNoQQH6jL5xS`p!q(3<0HM%CC(I9#LwQ{lIeq|H!J&Al>^Jv9TovJ z_36X!g^#R)qr&k{53Tu+U%zjEJ2bl&;t276rVlPqU(o#(M`X1?X#D}{8 z{02Jy9sp8^3}+`GS_RD+%cdc>(u5iDE!};KYvPo=xF1wZ9j!dAbNtjOXwl2Ebo`-@ zs!zzgcWI-1Yr)}Fawoc?z%PDNqIygxa&1fHL*H4~DsTZT&d*O%>y;W#GW+$?NRgtm$nY8c9*FSi5RqjyYC}`s42!g@FRL%hY5(lMx|kN z#t6^fDDc+>M3uC8b+d5ER7g##7N>%Af}_^V>l*N;CAH$J!4UNJ(O_g*<*(G{qOyhb z$5?cP7h(Opc7W;+g?}_R9*E08>pkBp>_zukRQ+8{7&6I5^We{_Q7^hV64-W^E26yx zt-*8AbI_y2MkP4vIm=GjzaaW#gwXAPC?-nnd0q2biu~3M4bte(B|2}1a~4Qob#^$M z&f>fE2&Z6c{TCyH#fzIJ4&noN{yR^B5FS6gl}(*pdYqfR(CDlKoLnx{@GHk(yZ@rv z=uPpDLeJu2J~&U}P$)*55I1o{ue|2~N1YhAL>C0y*{mp7bd$VzbRx_WsH_9rLw6Y-!zY$=Lo0Y9l|6)lL4w)Ol@O_XxRfsIh< zhQk3PJd}IVqG6+A2msW}tVr(c#%J)wl~*+8TK%YN-L!|a6Ho7AfUCN2o+&#{-)|JUE8xIA zS-{apChtM2*TL@a^1WmpB>KG}2%_F{_q}t0n7FcsnIssF)VhmIafm`MdjNX|BF$1t z(E*$4%Q7=yT;YED-WO^f5Ag5lK#9pEkxjaf`Zd5*GIR zSO&v$0|-!=N)*Czsl*|-RJHD%77fT6&NAZZK|T-YrO~VfTma~(V`%cqYOx*S`ID-u zQ{F=6;&PAyh213a31@SEaw0j*jj%3$bMQ5CK%fJl5nJ(LY>C`ZnOC{N_@CbaXYWSJur2tfXTO2*(dxZ=OQF%g@WADrR?6;c zX6diPUZi1h!7AdYlwVZ63CVxs=vL83i|k^A9bRr3e6-pe{BB3T2`RgiL0b3AJfbBp2CDAI6Kgu@PC6I0#}?<1YOc^_=zbdZG*}LTIZji5 znd)6pv)=ogb_*Mq1Qf!Ryal8d$DwNS0N7Wn-?$Bc@&y=2Z1NV2_`+Nl>DvIg-`jGG zwdB`x{SF+Jf7z75eefk5brbakN}rRoDqqlV2=B*cImFaV!g2Tv&h$KHg@$HtUkvy^ zUEkWg&vZd$g;|{gEZ+#QNGUI8|w7k4|E17g~xn1fQfwGpW>=?v>F$6B=l;n0j&GqHHdBL~k>o z$HHLo30f1WV*k@7@aTjX@E@GD(#Ocd&kkcv4>G4w5mlhAn_5YjzWgejc$L{D1xhev zfi)f)yWHq34?u(}>X+q_dQ`*%kIPq;21D1Z;!<|lu`yPAUWIftE+rM-W{~Bf_fDfc zlJ~hH$$Ju~kGFgC-)Vj6q9Bk`(wM;ACZ^EZTud%ZD7`b6cb5Wd2ExUz@WFz1%1S@* za3mPOj}bvj^}5|ugsf~Chdv~oLu0Q?v%_6e`rSs&uHf?68>4X6{ET^6CYYi%?k|bf zgjGMfc<_^BW@J9Z#VZ_rthjZuGI04A0C~gTYBro3#q4eDHCNxjY;C^pT>$j4>y{X? zYI)G(gs=myjT(GLcPG>D1IZ>oe6JWX(YS1C-Scbictn|aLatR<-6qn0AfaAr=f<(CDi zx?>>23MN1S)xQIj03p|D0kHuR!X&KQ)l(odf{9vs#^eCiES1HWl#KR|qBt@l?VEG`shFVs^i&8b)HE=_5HR^^0Nppr~$- zty=Ng_RJBmotBnjXRXV zMAMvehQnob@i|tWHWdBx{1XTu?u^*lzFJ+vD}`h;NX&C$!5Syg^aKtQf>37Lg47wA zKhu9#<{3h%b$B#e&HX75Qp|2>H2oc^`U|@FqWOLQtiJy&NnvHiddVFZ5N`C1v^G^# zC^D+lhl9k-8Ub&kKH#H+%$Ui5P;8>gK2ivVTl{tTd zOu`|3P#(gp6LRNKVOAWU`i&aqGPq|Q^b!DP z01i}>`Ol{eHzQ_Y(f9BrKjKS@OJ&mky9g7{cvX9^GlZE&jOF>V{FxiGbN4|jl10<7 zh-cRU!VpT1d-2T8%QNX|UM@qnQIX#c6LxYg_rtZpZi>2d>nX&52$9RW3W9bH?Nc!N zYj3{Rlkete1p~jPsUO-2^+h9UEhK9?k)bGUfs47z4Zc#7SPExZa^{`;2#^>52ZjiyI*#99xA)lKDGn2RU_JjO*Hj7Vx$%su*q_i|-UfXVQ-2+Fpaj&uyXr zs$~UP{EilURAqxOoA^C!0u6g~c3iqK9xl-5 z(L}B^u>z~Efutr;!Ora%*F&AmG_2v4uywa>fXc(S_fw_xS0WaZ*Rs5pKu2+I8V9`V z*3F1UeCWwe&Xo2fFUS@0ISkT@{boHYIe8d=D`m^gH>4~&Nez2%RhKYYtcR;QDByf1 zqwXU(+OSvt^^Yy&>)xZ;=~s%Wt2JyzkszsB;8JhE7#Cjyl^R4V;(KJnRaAB7uzt)^?+C-_!r0dBTs<9+2 zwP%x>b5H_04>mx)Mt*1(ax(Cj^gH6e>h|qoZV~_nGD+Wh7e9A?h~`%%j92!t9y!6JxuOJ_g0TMrkyaPLLc%z;L(PH8(dHQH!&AeL` zYJF-#NAb&mu2yWep2f*XBwrsw0A$_@O*g1s0j6En!BDapny+00hz74FU_e?17{tUm z%FQ|ja}4Oa_b%q#58*ksp@kdcu0~(X{9E`|w*A zI%)N!DnPK1P!kK9-zI~J= z+j=Bvf6-*dd_nkXBPQyek`y80j-EoC^1%-}MW?B+%HZY^vYC6YJ$7|dCqEC&JF8#c zvCwrNvi!MDuG>2!dLc51Eq@AfypA?QA)alP#J#>C2PFLGR`>WJ##;EfTI)|DF6)|4 zzn)lxF#p!z$cmQ@u0^wu+9svE^DAG!AbO=k?y~D$|B5_dY^wE;BuS(q?pHwD(W)LU5W-@W4}v5?aZi`w-bk*N zwI)fq)(@NJ3%f1(FVu-hd_Q-w#XSJ3I@p;dMwuI!gt+ZS#^zs%i^*wyln);ySliGA zw>f(>9=ukMbL~|O0%)R{py(i1^y8zJVz1G5pGM^jTnD<4w~Uo$v{Es1U)bmSz!%e=U1YR}eZCnEcal^T3o%Et1HGL*XG%DmoXc@3}rXm9<( zBh}Wzw_^Gx!U?q%Syr$6R$-a+N8{&K2sAq_|L&WM%k{@rv;fVKYFLQ#>N^!yo6B8% z34qvVo_#JHW+79HVtP_v0D-vG>ycw2pzzv3rVOEmS~ZBE#JhE)cXY8LPi860?p=*- zPJC(G!(!n6JAdUO$ZO6=z+w3srGR+n+w$3`=9_5Uuhi*x-c1GA*^DGWxF=Yfx(*?D zIPZkSev{&GXJS;LBsZ%#F_1N&)p1A1Ewu!Yj^dRsk7!aX^VlXt5MkmklL%sq0(h$BHm0beE-$9-{G|!`3(XOwjgg5l&Z-vjl#pi zVgz4z_Vm4PY5Yv?ugQ1$stFZ;~Q1=K_0v@OF?1`A)Ll74A)}V z@KZAO?g4EX8e2Gq3aCTPF9pfT3$+f-&7_YleGP05ymb%)IoeO z*tpErzj#m!;f=O^X#M<{Jtds?CFsY-@!+%DqyS9VN$~JJ#5d78Yv|+J9D>oB7xGPz zmuin8-VcSo-8+|6S6;vN<3|2YGm;mFMn?PHAKf z3-Wc|J5YJ=oo`ODn(uND;%D1%JC~`*s5s#oqv2$FINs(&4Jd;Lw4&Y)I>^tPM_%Wq}I^3Q^$vT9C}xzC=O*tHASMCT!EJ*r2E zEBh-ib?ytWT~@NwexExWEQC5BEyx28TD_vE z&~SA2scv)-XA$$~Ev0A3fQlWL4XH;HrJZPB)MK=e<8(Jl+(W<95=w?mC(r&caGAdN z#veWXz`2Grp66pxZ{7ydKQ%`87A%}MLD`|s>y05%(4nl6`XlVuz&78OS15gaZ-X9U zgLUT#;h@;VFNIr+K%x9r;q+nk*jAeP<(SV7F=|Dr=6rPPs==6Tv)Xg`gBHIgt*7u? z7EK&%%vl9=n_BI68U+(%58p~86wz96l=!EP2al7Q`n8&0`z!Wck#_rOvIF>12D|rF zeuFG-$O^B;2A^>N3@ho(3E(gb#loCfE3%^jyi|L~9t9Gpco-KQaJH5Di=@Gu*Z~d+ z5Rx)*VVNlbQI?+jH<1BL*($2BV%7s$QiyImpyB+S#+xtJ$a=T$XxI z*;lTcM_(Ftu*&mKoS~bg`9H*d9K_P`$A#V@%~~y`VhcU%c@vB$=G?7|ZvB(U|0hGL z17KhOTI6!R&}O8HLdDAr$%cNcVi^B5Or_byd{7H-rNLb5ihmVG3LaJj5Jyy5<$E=* zWQwX0!pUML=OFW9aJLF2Hx4cq#4}g~@JANkn`S6^4JjX6X;S=gM<7>%Exd9k`Erf% zXtnb($bQJ?Sb4P`FwTE1Ai0Cbm_x2^;r2bP8Vx?nsT)AKw_Q(lOtGv`{<<>RNLzh5 z3Ne#yW9(eiFP1{0y4$TpK!9s)=Q9JG5Y2l2X$_=a?iv!=VenjlZ*o} zQiMr ziGp=`?~=oH{J4H2P|1)hu`ia?9DlvVQi#H^>gT58B{<7J1GQ5{@WjWfTI8*t*qaF> zB&kRS6Y>pvbJyGN?(fHcC0ckoW4?BUl&}!TgkL;D?-BuJUes(M>m5*~)r{|sgW>Gk zN?zbZykJ+VQFWU&a$3r_&YC)J0UCBsx7Iv;RF}Q*O5(&>jMnChqvD16q6_i*)J9@3sIv{UfoJGvp`UdMaNd6nC}$Z} z_R|4$)(g!$ros+Pz=PT;On#x-GPekWzKhqC!ce42{@sqc%n#{$K$!M=2ddc^-J(65 zJIt7FJQ@_xT6KZU;6+@#w30sG4J=s|q`NObXjHo>dYZ+^|C|9O)w&R+;eIV7v~w* zy7E400whZXoGVJDtn%n#;hj)EDXG??;$`mgfiQM;#*aE3gJIi10fC$z>%r9!4!d8QDS4-Z+vedl%Odm-g*I!n zZx1lo-p2WC_`X3l*Ltz&YHZ8YsaOal>l|wRoEj$iqnK>t2&yV*s`(BaF=NpP#vsp} zhp8rXB7PhCex~OD`{z7hw<(Hh0}pg8wt zN$5=+x9Roi^L#IUyfG+WTV%Cd)O6A~oRPq7N}T`QLlTK_oBRL!tdTrsFh_$NXJX`V zd-;-rK&EUr`GjLI2*?qmjLKk`xey$wUN(E)2l0Fj2x$3MpMHZT^g*1odmLebrH;$^ zDB>sw5}YmyL`9tSM*$7(>HAf#cY&C7;LUX6NfAc4L4&TYQ45rkXGvHN2~`v3J5;LeZpMK+zi zI&U2H|H<6&b|Qd$C}uGS!-dHnj#7L8!;{}gapL^EUp{?$1s!t_t6SY$vWW3!mqZ(!we5BR* zu8!N>j}}5Os_V*oMccl7Ma$sIQF{qf_2z$G4`jJ0tD-jRl&W8)Mrmv)^BPFMIV%Iu ziDy|?R|CM&QEB#fNqXre_H4xN&Yy4l)%56n$Ap|;z`UObgq;<78ZUe%TR_>tEl5Cw?W8G zaQ*u5zxla^t=hj&c2i_=V$Un%nTYSbI!0eT8hbW~PcIu#Ywf+POSUk=eW>+Lr#E7S z`N$^5)aZ7b-|h{K1fXCmcI@+tvlU#^ctmKnCrGvv3}qHh!^)2TX~6O&fC89@EWedy z;BfiLCXu+ShE&rY!7bG?jhU<|>gp;4b|)oRO8n4%YtrVCRh*Jnoi0lMFsaYwTE4(O z21ug7pRt=q>}FdZe#Ax#RP#n1&-$pU-}2F&;uCprs<}*ex~c{K&Os0wtK~>u5l*K{ zRvrPaF+1Py-03;-$mEQcGU&E9!{E+){12Z2K?HbeA<`rER3I! zYI|PoAAB+FQQg_;@;_kmujj&5Lxs7|HP=22fFN;7qF1Qzfo1vIx^Z`KxSip1Hjoxh zgA2omb5tDZ z(MwmSjxK&VxX`vY3O)CnmmB$GEmO?n#PKPx>%h6Nx=$^$ryX-Sv^LFL@YmL0?m)b8 zaitzxVY+VrrVbUq3LeoaV<2@Qhr>AwPq$Z;b71H3QD8YOQpK~5fZ$9Z*b3H0_p$n_=k|^3sSlykcoIX7< z5gB}~Ed6^WfHi=cM&RsWZeVKsvQ-R;xTD4UuWzo-_r!uTqnYAo3O;kO!YtElv{t-~ z`Vx$_=d-G+-Rd5j%Lw*nYUFN-!==9m2aappr zax;)f&Ne9ezWeW{ckEjM`~VoAE>Ig7AyvQ&-UECdmVWvE{aXzYUK)jBQqYJpOHK2o zgjvL})ft`kVg5J9`SwM}=~i|>*MSw0Qipg_(t0gD_N!H}#M<6(@xMR0_ht}<3q+^J zImYDX_JIJ$Jg z+G*Bk=dAGMs>-BJ0>#s0{ySf?r4(7VWB-mv6`Lw(H*eD|>PhS?U^?f{ZIuVn3A66X zsoqL2ew#E-s1p3UYYRI_RrF8S|`Z`S1P15Mu=m^ONgn(Y8@LSfyLm>r#^Fs2XmOjiTtfUdpSaTmmdX8 zx9VI6FEZlFQ&w4zz^lKU&rWpy=kwR&{h67xtgP}_CLo+61-+DSC(*xgAL)`G{y^_( zTInz z{0~h38|h;>;5saMNUPZvB2CoSop6HVV39v^YQ7s*cM6}zimqHFD0So0Bls;MFl`Yi zb~hFv=p44US4A)FW5d~X`}Zi#PjT8w%1Y>JbnA1n)9#h~@zCGK94_op{sZZ>JKlOP z?9|mD96kqKw3;3zK4*Xv$U>wHe5i96_ftJh{^#r0j`yS(pgo1b%tGGyVQWzjIqs~ZS|ZXW%BJFCS_*+FPZ^1bi=%K@DNsH}Ec*g;-wGyn&!e;)6~gSYwLR3C>S z3ZMf<T?g4OD-$ zs;h?XtSGoiX!#=sNL|rvNO}1x^)c=Aj6uf#j1wzC0DrwF1E>pB+1)>tKROj+fkEUQ zii`CemmVyDGuhGxRy&iM%`-xF*8zOwrF=s%!{gADGU}Wq$Cs$Q}lFI z)@Jek^F@2f(zyJ%|6X++i=O2w0CAf}7SB)1lV`MP2Z-vVVI9Im_Z!Q+ zPcs8je_5xexNeos9vF5V7PU8*idK6m9~Y0Cc3v<)ARV2?WOf|}eUOApxSX1%h$_35|Zl2Y|wi~8H8K0kt(ub|rJ7XaQNHvcJ8^RUDcTKUf4c~tlA1#%pgyjaKP z^Yrr+vk9Ybp2F`YLA&sQ+gq{_cZr0$*v&om{YomdDAa!6?b_Y%HTf$VQ{3W)LsdbtJN*rIVY|7_pMET&)$k61THb%;~jGZMGK8?PgbDYHL z+w+X@7`TC7yAC%v?$+U|-F(t#$p681RCBP{Y=cW&Wh+w}zVd#RBRvk>JH@DkW*mPkdF@@04`z0y!;Z&7P;!_GjoT zrYrtquoTd8b;P% zxtD6gbKU?DhK1KAozqagnOj2dB-+zuip;+A+nM|`G!UAE{^%FXx&3t*S+h&Lu*>ax z=;J)2gm>;Fu|G}U8(|{B*6igH&Lxq|g!Mc4FLPC|;!1^#Mv%3*GjaC99@-$GYeH=n5GSmA`P6)B z)+rB{248LT-~F@l6!h=VQ(&zy)!ixr{dJ2!KuW|g2(A};SKU_d%tJyoBgl);WlUJW&3D~smnZIb$1~(Z+y@rE= zLD3FbxBK8h-G~+C(dlOQCc9@kcFJ%x&9hYVKuNDa1zy&e1?n8(hV;u(>7Ce=Ul(I) z9p1L2irY{EGZ5sf5Gh+hByCi9)Yu9I-5nUXcsdD@Eb;M;1s zZaB0;go4h@GPL9$P1Hjc{I-8MJw#QkTgW%L#& zYPuC}GcjOxQ&&CUYwPbBO20sJ^H!NT7UHVH@zk_FSWq!=ACS?Wq?mfS#A{^~YkETe zgVb;iYGmR&c6<0NA+=7x?E{t00SFajFYw_?7kzkuJ&iF*?H2&7HEJsq3+`Ng zNEa_Mx9JMnmT2~jXejeW&>&QXmhb97FhxHQYFM0Uid2lUQFK$gJgVF20u+hDUV>!+ zg@9CB(DTc%-pvcNJi3E5qH=U13B6Q#o#na|0qn-Xv_4TT{FL7vW6^k5-${xWae7iY z7cas(!-jRdy-h^n3#&nMH^AtY63Au3Dxa60I{DZjT5F(33fk{lRZBw&1zck-_owt5 z-+8mJ-C#8JW2AiNtlh_f-XFP7Zr70unO1~^g$)8%hh00SuXmO<1>F&6VNlRFyieh3 z_$kh*66Rkutppl5jtlmE4Bu+$rJa=ZiPW~JK{qTdju1w@Nq(%Bd2QN0C%w~WPK=sL zjB{dW&B|6VY|{#LU__U3&EsBICmXPDXa3pe)L!lN*uJuC#xFQnKv*#vs#DOX#4%xYi$_RxALn^6_Dx*OWEfO7jdIrz7cr@iY86B z2Y!6PZ8(LlR?5{!zJC}?! zqsD|&n3268=xkg z>76kXk~DJe&^zsC29#MZxzIO&F1Il|-IQ~WSdIsLhSgfq>vm`--H$RKs_DeLyG$^Y zZUp^JCwT#3H#d>>H4oG7W{rSIc{M8~#Ydg)gCCJ7uWzWHdW~4IG$IfPqt1Lk9kj-0 z00v)Yn#>x7uxbM7WDFVr(U3!eJH}>eB3Z}n7@WD&K@@o{YX$8SHefl z^3-3uMZjHkMa5==JJz*4XRBB5UqxKisX+v%=EZe>@Wj>FC-eYFeyHkI*O*b6_$88C zVyH0~(ip7@o0*aObdCQa84x{A(+c=0;(VvoC4l9bhR?_Fdg=ku1s5~tMxgSciBQfYv`{JFt;z9;6I8|1V%5XK z`L`8kU2p)o3Tx(Ke5fq>!~6iA_{X|M+%YvSTra<{iPcSJ#N@fi*Ya+`j|SXyDQ2!T z4To>mbS=M28M(aB=oZ2(N?&qwvbr}v#|*c7uM>0)4D8-R)7TtyynORmCTS6=FYph4 z_{tA~f~NvZ6m{yK&_CW^W*~2sJ@oN8%P{L~b8?xp+AZn>=iUv>{WbYiYCO+=X+v{T z-L*?iM-SkWK+@(m6c~(qUOX3{!Rsm0B(g>Da^e6B^#J+}!TeU$vjKBMYG%f)cnvu& zs53e3*WF(H-`G&qUB(GsBu+0P;`P*xSYeKJS6@H^yO94X+CkQ@wcNqp#Ka5%kHY(=Xv$K#u~m2qql{Qhk>D41vh zUzEm~$>;eBry0w}s$ksaE_-2+qo?;FMaVaWy0b9_@F3&2Ynh|#TbwmZ(<{ny#MDr8 zgXdu6y-%oSBb}-8wUDuf!N$s8X_qZSrDs^xIq7WkZ!DBCuTAwzX!W)#i%wvH<8ooM z`ziHaU~_{QTAccthFBWgor;Dz1*M2KO#Bx^A=V*Eoy8P!Di!r>wd})}O&eu0WJ|djc6kPb9Se zW}kQG=A?xt9~(s4IGEtD^-K8p@&I&3kzO&|Ak>U5k=9u9pJe)B%-u5 zST=AzDknj8AOpiDfME@LlVf+eMoS47=Eo&KQj{W@8PUIEFXF^(2LWcpx95}*S#)+0b{St zB8MLFCmonK>)E6x{b=X=EskkDW{G{VzD#&~X$4?l#(&b-$4fZ|=%PDvY|ziX!H>Wa z_gxH~7Rmw8)g*Sf`<-TR<|g$>IH0{SU@)x-!bA}G;orT9QI0PltpXD&GGFW@``#Ox z$T6NjimS}t~fgwVvwu)q&v_5oA|c1*5vU#0CG~Pwfio|ruTRIL?C^=s#XKEUA#k0 z{?c&eWw1}P={BL6e(pvno6+#Q8s|r?T89S$xyz^H?S}87%FaLiQuXte$7TWf6)%e( zLlXm-z~Jss#qNp@c7p-XjFO>!oM$H_{Q!=zO1Pb4y#Y-4c{#6)mn`9Hh~lMmWd?Qh z@?WR%lCkRV;}2x#uQ|^PX)u9#J$LUkE4}NVcm}()i=QLl(IYW77T1@P_I#1E2Cyx4 zV@Sdv-TR4U;O;R0Ee^fF^P*ng$?n)=UGUjuS0XP-p-?;)Z;lC4kIpK&$jj%sHckK6 z4c+CH@}(9kgVQs44LLz`KtZEhEFE+@aD6ORHdl!Db7F@HT|JcJWD#|=He9_WY6AB0( zglg-CS}Q6eLvO}83+7^~pUB(rpkcj%Z$7U=BBHBpmYvX^Ydz~$^u?5Z{wj1L7IRY! z{53DkyE#d}=O);W#{EhHRIY#Mdx%YeJtpJ|-3>D~+Oq(J6*Dru*-SkwqI1NE0MR(_ zVjyZ6=0eq~wbwhHw=&Y*Zs^2PsK@2*26VVd;3Bvx_$}(Les#p5dTaq&U4D>(i}pDI3o4<-|qIb`@Lu@^St}itg{~$(MX{A}HtbC%@g| zV9NO17~%qE_`!J(o8HM~WTMh===tpLrd-r>3aw6wr2n()CJq8NwzQ^`Uq9Yt;CLAH zw>!t^MU(=&8#yUd1;|6Yp=O4{MEcxxUMV`wwpQ7UA5t6Se|V8 zI6r7TZBV12Qxw&`x~Xt`s0Gs%Ncr2 zY{f8`Qk>rAGf(*Zm@WpeU6&IPte#bIxY^>|?C|R83$r^7V1&75uHW$nAc?<<%LcTH zY3qSJRz~|Og^bn|y*dH(s*H#~>(>SE{WfF_y`z8499~HB-m|Y- zpD%!2G#?=SG(D^?fNXDerai90d)((WAJAMt8KE!>uRt}l!^^t(q>p%}I5#twGl^s1 zL@8cCRY(=Lq|$0G@4O^K0Mp%|7b@}4l9D;4Z3d98{t0BzP3!uxs=(vtttbL)hgW4A^^5B^KUZ zeqz7~toNtHei)pj=hKC`Pz8&6W#*YuWmVR5z>8Dvjy5U32JBk$@^3=T@!B!H#%YnH z!8(3PgpYc>f7y!mj+|BQ#o2Ye6sRIqw;7&caoGd{=5+RJNxIS*y5yB(9Swlq>gm<} zH|uuGuKy(oOy6}IDdoHM;N0YMX;$4)+&9Gu^4Sin$>}!!9`0aywAe&}UW3Tv?26p@ z!Di3Tss*@QR_nYwk%;Kl*g5cCR|vto7vByenlV{wB2=WE*~J;9xv}Edu{?Q~FA^IY zI10lYigo}MQPX9o!^VBRSZw@myu7ec^3oA~qc^qtO0whIaK-$E#+Ld>zDK5xO(B-1 zcMwG=)G&Lx?dy;s%~5xYp^j8jJ$#L8Hm0)64*Qdpn}@rNxBip2hKM?{mfARj?(;<;r@=w5qr@ZJXU_6v_IVNDnNn$2d%5&6{h;2M55XW|pd z-!Opzc|rxaHO5$~(Y=XqJTLhFG4=v?%Bztp>Yb1M*OLhoF z$lioxUe_MixFUOxdoS0Xmup=6TG#!(P@nIwzr%B!=i@xi<8hwP7xppvuO8NUXk4%H zCChk-*X?|?{8);X5ClN7qbW4W2J^7gW?wD;A9=e9HeXQ5CQfsJjoEb?g*?}JcqSf{ zb^j_gvi=&>*!ZDUT`z zYUBmX?9@?kvD(Tm-B<_C#A<%hrGtJQYMB>wvN}FPaH1XRd97P_EMJ#`a3FW4xA1q5 zZnK9E6I)0%9am8sEr^F)Z1=cp0reK9d9VQpq^W(I2Vb!W4&xAHTaWK{5vcLuDVz2K z0m*;>wG9fzB z5OA;iW!9D~)S)B6i6+~NdttFDisejO9Px`vCjRD28W2%Mx=?r(u-f|*hf2Q8rkD?7 z^>W!h&o=WEAh(O%jj5eev z?_VLRz&g5g-^qR0x%;25(=JXXaZNqA$2d2Fx?(f`oCkvV*4CI>Wo=xZo^5vekHuPyltlCpIRjUXYZ_qPrKRWX@vwI6HZFDoq*&Lu!x zP2xTW!pyIexWa#kSx;=hAhypyV!z62r!`qayLSah$5Pi}aXN5uB4v60)aPxz0ZtPb zWc{3(_tG0^DWR&i>y-k~7<@^V=WQb2C*UROn7pa2%{-m^M>DowFPFRVKuWGlLg+>4 z&2{WsS-(GX`yX(o6qs4PlfKzCj1c8`^ygS!ou+2#a9Y`6E4fw#5mNUm($|Q2`@Su5 zJ#<7=YQO9n$6ceR!#mB{3;~7Ca;|dk``%&xOR)+6nDKqcGq{CSLdRJ07fzG!b0JXS zejnmtqVBl&x1#!y$<2}ia(kEEjpR&aB19U}U+WJp19Z*)(6amYSs(LWoyzOyo8n+n z>Q^rg9C0P?|CEwbhYdp6*o#}+2!IZ7dJ3tTq%S{33MR@8v5v6*@gn@znFDI8_hKCl z&XC;wsL7${mRVaJmbE&CV(Urt5)m&I=~dfT-4iT63>&$OKlu##xR}@PY-v}~3KVvV zSun(2r%!1M2{^%8>&%CJ4_sOS>@v^Xb=luNI)+ZNXQn=?Uo+${b<7dkV<(tJI5~J1 zKWX8d*^I~25e=Hg)(x6&qVqj>5SBy9J*H@Rd9}N?V>0?u-F~T&lvz8!m}Hqx7~Lev6faso zliPh5_9*S4*1M6h50O^;0b?Jo^Bp|0^rMU;JM-S+ZWLJ>ODmIAy@Amaz6*Yo&9x)N zqlu&Lc=h5r_7R6zYpte;U*<1}btHiYmhud%zZ(&?-SyDF`1pq)wcWtRGKT9L#8X#!H-G4&d~x+mtC8?EiHSLfse zHyiZ5A+0CF-BwoxBrL8Nuyu&KO4h)w&-$XVn{Aa{i@!;}1bd0aV5faNg$;VHnG=_alud~PX3F^zFeEMFrzmf@7fOeSR=JY|;Nda@$Y9CZXf z-fOW7skW?oBE!|ovAI}2vspQp(j&x|I2pa4&uXi~s2nITo38@`It5OvJYPD@3kgD| z&c4`)fj^8vXoC6ie9luxLOZ)Yp>~xZ6JGY>W6DTld4*1XbwHBusG9)VT?~IiI3QP2 z;fm!PY@(rW#-a64G_2)D1118aXmNXg<&b-c&TL2Lndo9rJbD*qz6;k1*c4lidX@FW z%l70bHWzpP`ud2|zYKr)bniDq*@!kiw)PICQ-Oxgtz1cCstVa=TfOf$dS-L|DsZ4o zn0{w|Q;b{I=zGxQ&fy2&8@c7 zN9{2_`Y+fvV{K+9PV8>8xBbwB$_8;zRxo$FeC?fJ?TfpMBh>AYMiVhT8j6u!Ezg^9 zg;K&L`kY)*wl0>jFJ5PuHWT=g^uzhfR~7dCjV-dfM?*ZhU~-E*sR#Jl+&ejv9*|^g zd6<5b>`{-jSiWfZEjlj%NKg0innCIVwU2^Y-#JKwIr4sV{THAz&u<_?=aa)>&Xvfu zgunoV&80_@K$X4VyzXw>7w0B45jt?;LfB02o40Y_urzhFQw3UnM&t(a>l1{tW9)LC zPeJEr8({qC2OFJ=0qwDMFA#0J`>`fLB$BxbRShQE`_b`c{)kr&PHJz^5Tgaj%&zvR zoPC{I7u?cbd`^dDLYK4XTOjbH7~DpYV#oSPQU=Di2<{$Xf%*f@lT2zAyQ4YDrd&6$ z!p&A1^Ivz{qWyVsyWG``a*rC|7`q<5Qxl# zTR3`)qM?_LNWz1j>u}Zz^aH4v+dcCF7Gs>0GQPIWCc5c>U%DdRZw`$Yp;@n6Qq}JG zvR(3E+@<%Hj?@!i>?gS+JDmLmEsi`ywVcO#?JTAOKF-Fh-z2?|IGWgDz2V2dN>O97 z{A=&Gn5KUpjk3n0TkpIY zUI@l$#NOgrCb}(i>d~X?Ffu!-VtO;CKk3%w$BN{R_!d3)tS7QQ46I*ioX8^|6cn0p z|5r+0E|u5ht$F_(csY1tWb%CJ#Xtm|aNzURphD$2rSl~tVy==N+K<1fsb7`0mIet7 z;=1=m@c=3!(jdg3;#S9mX|YFP1zuIoAHw1!Ko>O?E<**kd!8b%5#e|8v&c|A-gOcG z=3z!Nm|jq_`gknb-C;i&AJHY0n5t*fG+gld>dL2o%mRHabb2kL$3WoHG;A!wA z`6rtqKnZht4h*mm4k0w-@UWSG$v4O0-vG zwcW0E%vrf64_E)G)xp{{dfw8xXJ@)FCcxL2DkqiU?`;=+bHEg@!%e!uIQyQtw2w#%v(M=sh zuU{vL@HoaWz;p7JZsPbyv}ssX$B?y#J|#4)b&dZ6EGys(?osU8#KYu3hD@`a6`Pem zGkK4{=0pcc$VxPcc`mv0#$a+0za-$js7D+s49m9%Ezs@Z*stT~Eq%D05Vba0o!b+5 zkOXK+3PG#wpW9%J`g5^x++*`czE&g;T3^3!4ChU90Z)D$gBzdMA1J}z(<)<6<+^mT zBV3`mn%Sma#E$}H`jMCQ*$AF}!*)lvH0fOztMzjvO%N*wYW?~h7lT`F6&R;+?fbsm z#&UG*9{m%!vM=WP*VP#vB|0L^N_~eLAHb#ZLEq@Eb=XUXpfm9c+ql6ql+KjLIMJJe zaOkXfD~1?=Zwf^g@y(OPM3i_+uhp8Qwmw#Ue-4Bou3+j%Dd=>gEDNM#E5-$H?&4iH zx&J$-ZQ-<%AW3#&QT9$-l`{}3EISpZ*I$0T_vj;K?ozZindt!6C(G>6>2>&V{&!*F z`8dv^ciHM*n+xDVpK=#JWotBt)O?jy6@aRK^zC)yMIpjs>mm|Uwz96XRk_H_+`BKw zbvGf=IJb_81J|qzwJFhod+nP2bMPg)lkt#| zz0kqAj$3!?x7BU7d}!av?Dt;${OVD@yD0uK|F##W68_!%WIu=MK10FGr-6@#6<%B7 zk(VPy1a_<&tEBQcfc-n2SnWHswSQLmQFSJ%gi@RF045sN@tt>IE~x9_lu-c7hDX)` z$x8kkbQ%m#n1W5X0}uD)AwMB*!410d(kV24J#Y%u>}HA_j6yvPER3OcQ-7gvriFX2 zGj@wfIE>4?Sc*` zLk=R+9i!T8c%6RdG72f)k;(mpMASF~bqFD2!~0xHtQgfIr(%ewl%U)J$SpJM`|G^^ z4-GN?(_5c4Zsl?ggRW0#{sZN0tIyKcBMYF1*t{&>cfXhOm~1F-wDEnw^L~!nYN{hD zgs0i-j=YPs9|sr*deZ-O8S&LzD>R)V#$v@5?Rg>bQLTO+^b$2R<+cZG8>jIZGUmHh zh28mr&ilImuKAk)OPFx6M0-cAI$d}mr4U<>7($9&tReh?Vp}YtlkW2|8~8MDnGBA6 zLnZ5~^@Cw=StKvBr=f3Sp_PA@zLwd%cfSch(u|am;K&2M)^)`2oI+IqZE-%b?}!l@^f^ zS^W72bK=sk2h%}5njdOw?+er7%Q6!r&MQ}U^gZTyK0@U&Z0D&C`K=A(7}pNwZi`Z| zeotkP39;b#)nQ8M-vqx<7?qWRVbRFbv8jb*3|aB=ED}d1cG|m>o1U5Vt_$9YBs-~l zf8;1JMVsuU;$x%Di;*N@?*o$>!JmN+Mi-nb+MNf3R~Yp%m(mKU}!S^b*y zc}FIO?&9sSK4mg_iHj z0bpomewn3@U;sII@26oPM$Z;Mobk+LK-kq-#(QtuUGZVQv#J@_Q$|aGMMDyn_M=c6 zVt0hOc;s*#66o$I`IhJR=M@H(cv+B?he4#0$^{yM6}mR(uOIfrQh^&QTyqKeY@;)GT9&qgdeeSV6inhce|@87Ip| z--fggw=U(a`r~BI&~0Qx3oeXV>P8!KMVpUdknEqMYwc~;h_0sc8{06ReDzDXM1Xrz zi&la~iCdMzd$S4xPLFqJv#m#LqF7`%X3NmUv-}7xiNDC2&skzVEnVO3H^-gDSnZ)v zp4u5vCgt3=zbsOW?W7S1_g0W;=Y%AvatS7;7AXKl;*FtZe1awkrm!8%qLoOwDf;4Y zJ8qmXP;n;;%eocb$AFb?uClVP1Vie?*n3TO)IaAa=u)a!BW|Z_&yuc~XtN8ZggsRs zEI)p{>U2HK)GW>$Jh^22yo2CA8oOqrX=6LP1IY!&&s>wPK$3X7D=enJs4%L7E7cMY zs>POi4esTKwCtdU&daj(LVjZqA3UIEK?Cse>pJUmlLul)yCAu#EL(5)qAh$X7Yj?; z*~QHse0WXGMjXXYmoZxQ{+L*Ibof zWq(!=jq64mI3ix__U87eLx?$;b<{SR=f}CzBd;ZZEf8EToo`h*h9_5t<&lj% z(Xflq%| z863B5L{qe|s4bbiGv1M3b?Dz(^T2{kD3L4dF?UgKtLcVzo?w)kWXl>#)5JkltGU$% z;I+Y8iWmnzN6$54p2i$n@JeR(-56XDZO2drOpV#iObS{d{P3i~h0KiIO4KNj1Njtp zjL?PMm?^c^rI@208NzUCM}sFrW~=sXN0G{zNB5~j*q`NFJ)NIgAf7o+FXg4 zR!)u);Axq^hx!^vyEs#fn%%;$@h~L3H48K4lEkMJsw>D;_Cy1hx8Tf+ib^8f9m{Q# zu6XxRm9s3O^q!DmR}PSbFoI7(gIp!8r8X-TwDk#_JATv77(YkhouN=||Fjf$8^s^) z8i{-iEMka#+A`5p)|C<4$e9*sv9WCU=*OA+C#XX9$;9|)8|Zawx6pvu?>rp*1F;;h z+Hc&P^-RntISRwY>yo(Pdi{2kN{cWK!EaGC0UUB4>#H14;ZiUk^9aLG!uor2!$E(K zqHoVqTWPXdRT5br$a(Msq~nAIzwqs2oeApFTYP{UTw&KvJotcfrVY-alNW~XF9MW( zn%yZNuyBy51l@R)n5Qx3{EZ$GEc={3qyR$Cxt(HA0oAP@wUe;=om~Jfd9yh|A4Zy& zi+51Kl#e|;f4)xwqz7XK_-fmA#pQ@iEXP@W27bDBG2(#u-|78K^A&WQUPyV-WOc;= zDg+l=JPVo{)bPt4AY^f5wfay9JoQghlUf;b3}{{FqG&R%(Aa~YmHo=uhIx1{M*fP^ z*=iu;I!Iv4%S2o55UhAyDBaYLMCT-KmD|Kv38vg*F^-9A1SybO99p%u&+`ATcBPkc zl24!l3$y93*ja`&6#^WBe!&@181z0F`6y!QYP^|^Ai*$Bzm9wIr-t6q(vnLHc=QUj zVUGA@z98Kh`XTWqaA4O%)#`DrJTerJg8w9Wi@uaXcu84ac`dTpX>&{L=$r8RAB8MD?6!PDWYuQ3{4=W|>8e%uc^@>u_O)FJV~x-3 zCX2LfrQV$ay3!prLM}y$65%23kaBQK0P=lkm4*?SC8m2$`c8ciowLezvXQH42Fish zKaMj}Rr~xB`R0Kz_jn<i|O#72_m66Bt3 zCjTqKl)~m0gZxFi9$8P<6I9QSI&jHm!_k{AQlgJGQF-oHj`v1XB}E$$KTeP!;N`UC8@Rz!un)eTD`=@(t=OKLv^2u%rbsN!6$6)J2(yJ8|TO$xg zOC%YoU>;k2PyfaCv*w@DKKwh-<r=Zgf)?(xj3)_V_vi*s9ZJ_sfM+ z=ykS=hx&B@>y%iRDRb7$GYM1@j{Kt7ibxK{aQ%~yVWjZR?8xYqrRH>y;+gG&ein<| z`zL(D6HNNv=sS8i%`*7hM*=Y%4rn70l*8^BbXn~M&eaK{--1+Iz-ddWQ`w0JqUtdJ z`n9Vum~n$&na5@??h_ZiYQrgO-;6!vg3o1%B&Ok^_HI)y>&o9{D2EJ4iJe}!I>7SyNv(g(N*;0$-u$V;GWC21IH@a zlt~CzXFN%$t9Y@xa^bJcbWI-lB461-%}*n<>4pYQcqZ~ytX&vvzm|e0nvT_T_c+Ce zN1m^u!2)KAc``;rM=Y*?osUh>eQ-?_`P6E2y|eYIYM&$^6hKtQ{VesZX&27IL06rusA56#MvHg46zRW9t zWJ7SD#jA=&0YXIZz)Vn_u}EO#&>U*Rztx9Pn<5jMWBx;BK9!`*i7Kp{O!V&rpG>GM1NGyEJsn8Y;K zTHigxc{=#sp+WJiLMhU#mW-6mfF`1xw-I*a95~8kS(}Y7OJqJ&J7kWu?X3}%pGi~p z!|%v3C89PfqzGlJP19{?3Ws{f5R8)ya4y| zRO4^pERig)gD=x)fl)QpV1I@=ghtq^M(215{CBWB!E2oDqeqD%&V#E2nnuCKPk*ue zziewVOAEA6=ICwqDACfA9D_<7#GPCQ_MoPgh_ZnH?%@;oLaIHC2mX@_2ui;Cv;QO|ihKl*KW=kAM-hmJO1 zm$b=i(=3Ny*106Z4OWuHgkJ`-ZN_o#spS1EoR+Qli=uz53e+hEMYbfYpAy1KsT1X{ zK2{#2^I@$<#?@|21X~}uD;q)YW=1ECRteu%;yuO(i$I+WW>`zoJsKGLkhHn{*(I@4 zq@!KL@Fgjn)eCqW>vT<>s01X*Ywj+8)|z)U)jM9dD&{^lcf(e&P94 zhGK?C)EM1@0N%)ogVYZ{4ZBfq???(!ntFiul6{J?)}x)u1Kdb6`>8x3F=92Sz2gd@ z0lV2gFO6?ed-SsKy~CS03xIvlB*V4}))9)37V8oKsV_7Pfu4-(PrmyKCw(toZoT#X#+0om-=ke z8bJ9u=Tvce6r($-g z<2|wzn7#sTIm(<_0;F&hG`Vt1=lZBKgU{bn{e3HD_{Dm_c`rsAO+QiWqu^sP%Q?1j zXs>-HW;;4{KdPuwDZAi1UjeGNzCsR8) zY_H@TZl_V8LXvIiQ|Bp|U1|i5mg0;kCEKi;Vp(`IA<5#PKn+F8vF}?>XVp(*{caAF zbKnm>-4>f;%thaKTwESVn_jW|4VrotvZ&AnW>tBE#TK5R7H@n*Af{Ov5}4an)!750 z=lvY*%B^FwFv`biGF~I5lmrFcU%Fnk$SVGCG;GkIYjwo}D-JzaCLP^f9N~`WqnM3njkRl) zjKywd=s4V&l8ODuA$dt<3Dprr=Irgg!?mu12j#D?IG^nSq3=>mT37-^AYfD163hRu zIf(43P}-7j8R>A{jpwYW(A3!EI=A~Z`g)8Wb5KO`XjP5E8P2&su3Yd~I zuScwkc8`}}>_Q!(>fWTci7%viEuW2$5+wQLHDb++he^q!Ggk!`@`vi|LZc_x{xKA~ z4>BP7e4y%8hMljaj#aqC%rO#ONrrmkxFD!I$0xlsTCQ*=|2$rdEghWP_MT?1ng5c; z-!t~Js7yEb($)p{UrqIu^Ry<$B-ttW6J|i}FvhpWV(&UeGnFTQeLRFX>@BC*_afDhN(xkG z-I}mypN!pRgXS&!W;W+EP;3D5&*2V`;Gv%^ z_yhC3zyF*LuI##NJ^)gKH?viElQ)}UjVJbue7Gn~@mgFNe4WuiFnvdxdb9Q@dMNIs zh**3K!_?V5Mi~BYMI|kO$U}T{6`E?QNkweh*?B?or?%~wuuc>P{PGK`SZ>fQinso( z+J&F&XiwcPvl|za!e7T--^0!U8goVE8ZuR?mPIeM$THe2VL3_Q@jR9Y5WlZ%B;7aI zJWsj=19{-;?5@LeLeTL&N4>1S`5XsUEm7rH_2Q)0i zZfXaq2rwQK0i-#>(_ZngjsX*Je7+cZ2`D#c#$$`;s>kr=&t50(-CCL!oj7*N|8NDTJBJF^IKPFa zY^sAeJhE5i2Drk1b0gc>lnJlT&okQ0T(r1sIje5KcG)Sx0{AqCH*WB)1GxhwI;*bd zu>7AkQ+iWssfYqKB)=&kX(UCY9p}agj=^pnxh0EpN`W`TVF@QJ+SC2=%cA z7T~)hc)$7^QtGC>nA%Fit(XH0P$Cq_nj<;IK`!1g*ZPXAzJ^Qy>d9$W3f+AmSv;R{ zf0VylzWDL2onD!`fhV{zW<$vbzl)NDP#NTi+h|F@UNAX4B7DyOo62i%8TQY5M6E@W z&wJ!8CCjsaDp?;Iudm|4Ac_?5q*(N7%*rF`H;X z|8n{YZAq4P^B=7x6TRj7R-Qro=JnUYam-8|Z&DXIcFim`7`jV@{Zg=e>?{U4SW z7?+nlK4gvdR#``qkB^0 zsU;In0%fnqzt5?}Z{{~&jlyAmhNdpKrB|&2YnWqT&0fO`|2(CZq7xvoRi9;y?&2;ziPO zVYJt2X}{{abG`n1YQ8Jwa`etU20ncS@a6I;OPRDp%fp_2_io0gx-EdM+j4kxd{#H) zB!RKVG*CQS3OTUc)=e$5Qu!m?(IHMaitE^Q8Bs7nj?~_&G7OypRUP$sfXru2Q*|Ql zERdlX#X&vt3r1He_qvKU68}j@z2b~0$nSQxR?7UrZ&{P5{S12FO@Y#V{gt>ho!7u4 zRYQUo3!~Byeiwc&;tKk$UU4Dw z&%+%SrQGKCO-g8|HvDuRlzTHa+XAmYoMMselc)I~+r|bnj00az$)AHK4^uDUIZrmswE7CmK^S1iw_6P2YHh}EG&4-j(aGkk$s4zh2shQgLc+9RF>AR3xJ4!$9i@A{1RYvEa{r*6xvGI zr9df5+t;InoK_iHwuAC0G^Q3C)7qFlz8C%tfb0_KBdm1^&oj#xR%4u1&7>=s8|V1+ zmp&#YRYzzVlUerWmS*EsnJPp?ZKLrWx-a3Vo;4kn1If-3pys;OS^U;HX&-T>2YukF zQbtRBviD8reti50F0_^M##`XZwpssFo~=`r z1UV-w;uSVl;QDJ9_a+O5(sw1Zi(_QIN^9A0;Wh4c_zEe$iMaaG2Wo z@;QkQ82m}@HakOw)9_E>hJ%*4L5O9d*%~o-M=<|P4_JRFWvs+g_g?<===HQVOzAzl zzx^QZ`5M!uT|o;{=f4A?RoZ6DgLYX5HA15I*;9zrpCR#X?ni6&OYS^3*^rd7Q|IH? z_eILQY$l%D#;qUi=Y*i5vJS@v-MQU3Ez3)o5$ct`E;vfs2t{mICaKk{r3EMqSa0i4iDci9?B z9W^03iy9W7so;(#8HeTY!?E$JsaGrihRD-+YvkEvFQB5YMSlm!;*L{rMO=qti2K`+QHcG}U0Ja}Zi7E}VE?=4GPjP2!n`FkIJnXAI~4lIAsE*sTkkI{pQb zyen@PtDPh%mi_r<4-D2TXPo?bay+4 zO0J-AEgFrD^#18NG~1}zS02T&A#->3X8{=U+rjMGLGO!WQ3INa<|tr+>hv^(wHBhlwwvkxYF@nkbYIJ~Q z$^M(S3A@LS)tpwq&*=foK<1po4QhMCG7Qgwa^`!b6Db^K0C_^eoW*%Fx>tU8xaSi1 z?_k-x0OuG$HJS3zH<0a&ilc`>32x^}(I|L}$)za;Az1kgs?f9KJ|K0oI(Vv~#PgI!I5#g5{?In4fJ=QdjHJXh|JLZa zO?)%rth`CgvBIMJP}W=J`wA7+KewfL{wwcULOA&XBA2!T-R$iG;B}{GuQJLXd^6S+ zhRdo5l@@F}?)wr_Z@@<4HZWkx@20sd8@kNQeYMJ~*mj8#N^B8Sc%NXV9RnlGend+)TyI-TeEbcp!GI^w(v~!Rr40J5H zy8O@u?q05da>|}m{C&LSuD4DQcl)Q2vThuLEDN>5=WHfo}3d)WQHD8lfN z0f>>4;^jxxNEXNbT+A#Qpm3@B2YzYa`I-mUur(RNQMX4bKI-b8$-gDCN-LiSa>uQi zKbx|G)0u%U(2J&OeXq@v*oq%$$tVBB zseV+-9n#q*s`?a97Y<^6&D?SbAu%stYl=2kd_w2?-eN*CrEk^mOTwhiBB+T&+TDl; z|J#@t3%$YxY@&jt$MG!c)t8nN zKHEB&0u&-S^{Do>1Q$B9G=j9S{Y4mP3wKHs0KK(|dte#595oczpuVGmRyA$Y*%X=hoBGGxrq1w_vV^fwvkG&Pem6LWiJXh!fM z*(QAnxW~*#V=6kki&(}|c4&K#G*`MTs@t-b{@aUyjYIkbi}?v)eNQt_S5h4X%0J@l zo?8o_I$fV$e81Q(COD<}vO!LP&hO~*`RU4YASqPWmF^0E_4woYkRi5#3M$h%_*mnv zJ+FB*S5}<~w6mS}eVH4n?l$i>>~aKpBbD|s5XWh}LxSm6{8zp{vW!4EC9+0#C0q%a z8kbu`C?Nl95K>BR18HJSHwWA`80Metx-lE;zX9B5k&_#a-KO*26_J%NQ%a8@)tt+DuIV(#hX>jesKQKvUWR z0Np5Uzn|c>oyp$MhZ2azIV;C)c1zfwFFY3A2Ix+j8b8Gt>g?9J9Vwe}g_BkY=*mX6 zi6t-C=usQThJ%IJt;+lA#~pJ(m(+Vl%ys5sm3zM&kFcYhq|Jl3)vOd2G{w202}Mrzv1lTU~?b$vB4y zLluJWV~z7EJIiouRE?=vS9aW!{WQ8Z7EAhk9Wl4pHKO{^Re-Ob>U}R<hTC zKw|2Sd)>Aw^?X)_fDV_(01&ksZ_-L{DfJYc*9*5IITi~N=8O|MOU;lr-m$Hw8?Q`R zD`e?Bcde3B+6DwGXdPb{7>e?GtG8%OJ#_?`v01nD|GdQ1MYS|t_B;UIc1>rNU=1_} z(ijQ?pLYs+He;EE*9|W{!)bhS1w&m7TEu!3a^|n3+xso&Y@DoS%MzcX-Qe^vp!*nU zhiFgmEooFUYm4x%T3?doPP#&C!{u@E4BQVE%*vN5F9A^L@UA<+e!q z>UX@2ht`p`8io}gE-`x6coa{KhQi>P zXQTidS&*oN*$2 zxRA*S@H(H@J84=dN6YcWAD~wUMiEQve(FKKlD({NTz!q9SS8rM^N19^L?n_S$REzhgV{&R^EcJe1!W)+v4~N|Xsmltyjbte5@k&LR6}m=( z6vPlaarb}7qVbVFpMTzqhBIzk<_-{IEKyW= zl?>JNK*(>it87E$_-}ujXRH&PD-bZ7TN87p`^eJEVwp&~<>VUA`kYHU7$Yh_#^HGp zS5N2QYRUq291#@r#>a{FK1r>}m)jv0)28K^FxJDHNmaI@MLj?VuKQ1|3v~ZPuDb@M z($}+WjF*5LbQgk*g%p^s91Z6dH;XB%?@~F>V(K0Oqxl_e{(El_XIyuJvb~4dYlE)f zT^Z;~+vXQW$X6@G?c#*-262rd?tb#mnZn#!TT>+vubq@5%pG5*Yz`?KQqLth-c7QY z<6gJmMr$jfiuirtcb%}cPxDq41@&%CCK0yIRjNVO^OLDva=v`)78IY`mF;i_qi6B~ zy_wQFbMi(V0H45HEmtx}UTA6kYU8wQI{R={8mV@*iylR5WxM~SGNl&iH@1lDab5LY z-iuAVB!~1%=08&N8ZGfu@h{xxX13ft97||@^Be(m2>#uRD0XonCvf2f*fY9!QY^2- zwXOY>v@SWvXiZZYaD61TDgEe>B|DwD1LY>ir4hHn$-y&#hzG`ESBFJLf?JHOa-uhN zr5aSW=NQDU12hKclb8cMf?0T!MhJ5~e4Io)zDu{p^m6If1)vZdZ0*t{!Q* zd0nx>{zWQdDx+Gqqd;NG;o&*OP>;sj}4QIx4`UcY1|vfzB4j=O1d)YGFw zyfFzi7XSGtPT*7K9pIA5If`Yk{#G!6EFNrEuMAL^Z9hT?{cn~kK)APuFG;76q0C(t zYBW4h_g1+wl;-rW^kiK64VHUyc)f z0t8YHn8SCIt9*SASOfq*Q*@0KWMsHgqS%;hgO^+ntmfSslQQ%8u70=pL>40zY0=W= ztGifh@bge7OpFhBOM7Gt)7I24-dM%xe4^H!29Sw`S`;@Zak88VTFK8#6Ftu~q=04qIThXI|9s^7|ig%wYnEBi%z~)9hhXZxvX$m;;zuvwbbd z^#nT2!kgb}0oS&>zE!4{AvfV(y7AR*FP_P{KxMEP!f#m&)x9oDDa{!uG)S9QcNRoC znm_lxSckG@Y~=^@|Kc$o<5flx(?aqNU>&Zif|(Qwb4vk-54f5X{7YT!ZimN>!{c2e z^lwU)@?{;}KagM}S3_kY$YRDn=Yfmzc^?+#Q&r22!j-&8Q;wG@42~PzhrKpF zO}&g2X{#Uu3dqw^?3y_3bZB)1&!^}-j%z$PlGW(>XxMSU^u5T{1QUZkV!e6#` z(+$|;AKJ4%OLl6znFXlP=Wk1c4%<;k>@i1m@!6GY#!PzTF0`7S5IVDh=H1loj>ZT+ zAXGyRhTYabVME4XHOvApX7Lg0;}VyP@WjAb4@BUsgLlS&=W4Vh&*7VSQ9|Qq!9&yv zO^YCgkoFm@=s9%o`+>bDze-oahnH`bf%V{=GxjL}kw)+^d;h`>HYR*k?pxgply*z7;7zCX6@(t^r+f2Ct?@FD(92wpVZ)u1w9N-*Ip5CCa=AYpv728f1}v zhO?F}Ca3^32Q2urVc-Q)5I?~)SL0s3*cF9!Z^*Yuo=hQuzd3|#5YbewWXNsWQd~*V zbbNy=3I8QBI_CJ#e41ah0!d{Y*K}ULG!#~KZIUXVguGIFe%U}h*IF|l@MpdQE*tN! ztEivQ;465Z&9C41)`6!GPFoc|x$%x&BR_FyUD7@R%5p!B`S{oN=66-xuD-J8p{LbL z$f-=tF$KC`MZ-j+XT-XX^sj%hFaah|3Ir%4Fn;#JsMbk!)j6QrhVp&dPPTDr%LHJ| zox1oHpcI_?Z8$VYHM_wS?!mYEejVsN`VZSdP?|hB3@>;jh~%}+c5*w-u9p|RAa?2r z_R|rWpVJat$@2OysY+_*3oCBF=KTLM4{)PGSpwAa4R8H1EcdXpY-8mACNx)-@Y_LX z*`7W)%enSBX!7~NX(l8~h~+hI){w+$xdA2Wqghvs`E!N=zQ7Th0E>ITY~tzUsRW1< z(A)6$U_SlJPEGrJLex^93xRgS_aCiuG|%eX*@>$G(NnP6$Bo{bK)KhxK(f-R=6^7wsfZ9b5FzRt9&?e4zRN z{8^Bg=fUeD!Q}w-3MZET%D=eUev5!KET^o@aNi!0+3?%UnSMby`Nmi;qZJQ-`9pRN zt|$PzT8NCvrzY|(Ro+J__bwqD&Vk&b!9~KrzQAWm3b_R!_D{$MoP$~IV&-&SE&t#` ziN|3q?fqzjSI-~t%Q}Z6kX_wZlfRL>s5F)0L27k}<_U{%cn;OGsFY zDlcS18tl?s>BuT`UeVqkMgxKRTKY?ORdW($r7R@30v?wh4-9>|Z@R%L{e>{(2^#W9cnnhCnF==R6(l8P0==Rz^e)-&p*ZsKLa5Y3$#|y-u-l z$j~+#aD6I--V!>=d3WZhSx0H2YXwJlqD?H<;qXs*cwhKJ+@MB|v&q!i4(9a7KK&?d zYD8M=b<-u)&Y;^7juCNdQB)vN5L7nkGH05GJAM3fn_|gA4R9I2AIAqy_0~kR?$+u4 z)aK=fIV;$~DA@nepWo@RZMSuM7wViaC={eJLzzTd-B+m+_ftc< z52(%ld>zBIiBDOgUxS@`7ydBDndReA5#7@L@ktOUrML%_x=>LQ#LMXsbiO2fMNNn9cV8F7nfg@i&aLsY}v1_;MtB1XYCTy5{>I z^vg95m%wyYvoP-49|u&YC<#=q(>S|at#Xe`HzPJftLO`9$9$;n@9h2)>;;9hr-etC zl^Rsrv<2sC+^p$EN^!%)+j~L`Eh4!1G@V3wSwABYru_TM~Q7s|>9$*S=Atiw(5 zpfRubvAQD89c+Npephn;Q-E6k*QEesI>QxaR){aYCErWt0D`y5KgJ+tJ!Eo-cch?6 zc_srGgbd~-E>+Dg`SF9Ge?sTr=ZF!6(olxwpW5%|fT@lhZ08@P^ma2FoGK&{a*3(xeD%Yvn9ar zoQ3%JFj}kZgKqy<(*zz_fO@uE+O_3XrdgCDo&V8$i(RurUs9CD=?3jHWIc5x23%CT z{j-4dzrXwZYV>tQ?gd7DrmHjF*+a;Vz8?FGH=^2BM}>h8)8O7WHazdPPx<=yUO5_^ z1X{ExanInZDqO4waec2#`139;h!qY&$B^Gbb1E44;FkWeUJj zq1{|O2?%Q%MoV)Kt{ppV1ueUZA2CS)B00c9j87TX*v@@z2%_EMc>I5aj@4(oZW6_5 zk=**lUfg;(=}qA8*jMJT_YhFKcA`g;BDfn(JcJu`>93Ztmf*I7pK<+d=+(fjF9{Q@ zlj_A?3W=R~HSb~K@S4v&!k@b$|HuJ1=1$N$Oe!6~KK6$S$o;|&NQ~S?>1Ug5HGSCD z_c~KQVFT zfVBcwfM&gjWAeoxaNT7IPCj_Wb7!O?{6jUA>#p(O`&G-{)BhvuyLDh3&%J;jG=`6%1%>=<-%mx}Th{b*>^fUk^t|MD;_ z_@}y8zrg4y-%~dF-Bt(lx#Zt?k!%O*e^j2Rv7SvbJaoH10iDQ~?9VsDwY(j@q@gs#8P#*Lc$g z{@m-EO_|I#B;ezjw!&Pb*%0ug^pu|1(yMlWK=SWjCmjL^fa@IRYurdnrzG6GD2F=01)Lv>a^ zn94J5Q@3xseAz;KGj0>NMfCO1T5>#lZP>{bI%EfS?i+01aja5?}IBy0&w|)E%!iXJ`Z+2G! zFqLTcj~d)xUW;!!V`6)`VrvWpKO&U)!_k#AWG*HAAXc^Ky18jyk2RY6#F(&ocu!%$ z#hicWg$OPs8?x~y0i&NM_1sj={kt)l z)|mKgPC$$YJ3$?$dhM|iIl{fE+|rHLSVTJ14!*tI`|@@rvEpL~gwUNhri~p2kez@` z9HdES{M=JVcmKQ6Gi2Qy7c=^PW~uyxD$3Y{th-l#e^ox-o>FFPij8ZhczyRJy^}Fd zg=Vo;#%I=Vv`vB(69Paqw#Q0x1rFObnppNHOm;B(%lL?Bv&Ptz3~F3*O?5--`B{NH5O%e5H(~xP<8LmnV3``Lg;( zZ#9$Y8LA$U8q=g*coPD)zsz5e+#<{$AS^HwzNVP#Y>Cgk`02h9o)lFW>yP{+mfOjA z{e6{*-5b_;SN3A~qYXZ&2vN~#@23mGP**ujaUt1KOjXhstC)a48R5=9^b!T(Gj?_W zUs^qL=Usp+1PHl!QTC8%y}v@aS@OLLD&%%CC4M54Or`Bx`h3`!rI=DBcsTyTf*H`K zKeEWjaV4iyGcAPG>p1oAbx0gh#V2(yZHOsW5+iZ_)qtxgHp@d_bIk)aKd?+*?1^yH zGvJ_(l-s$*D!~~7w)qARUlf;D%>Vf=*RL^ui|38ciP3dG7a=sQm{9X%;H~dxR}Wc+ zexo&9H+R~fI*c^^2{uyE#8rvxfeI8Haba2G(MI}X23_fFW2u`gT|M+*@*DPd5LvLp zrQJZ5OSL*dhJ>ym;go(4T!%l{B!%T>%)d>c8e4fbX=b&@pl|ZE=rkqkMGN@dg!$Fa z-#M$qGb(HFjuydVi$@;tN9Qvu&$w!6r>VeJGWi5JH^E6Z3!V>6!F)c;2}!8?9)H3< zNaZy5BFM0?!t#ID|NNol9I>=!ca=jmpL1u~(63{3tQZ<_*S=Z}jYlYjQ{z*4Am7aMN^0dn(c}CSJ$xvD_5C2tHq4g4JiYHH&{_$z2BOzHEd^m!od${Rx~pt*LzjvP4dBGA2W>})b=a1co(@1N zwkIBkqtuR@dFV>SRxWvn%?9gxQL6N;|BgqxH*Tbgm}D zQDj}CxkQ%YEoZ{Dv)t_)cI-&Zj=-DDz~YjjT)$2lp6Q2%Cu!Mg{_{tgz%85Eh@~$5 zM8+w>9#6yncT>VD4y!5_YS7hlXO<3*I%rcx!M;UY6IH3%k`YFjN{;QCUt9>l<$ zG4o~QggXHIrPb^xEOwblPth5B5!J+>4h~ROEE#eqtTvDOQs6=sFV-XAJLBnZc0AInZ^96Z z0~cdP#jZLn;?p9D|7{CrW-^N%o0s*}KUo_E+PPHD&{+T18 zY2_<)Fr5-1soK{T_e{h2hl`2ncoLBs+d(@6GlzEL9EP3WN1F%)!!~u#!Kc&CRZ7Pp zy_xtASWwV)&K71;>e#;*M-1!6b8p`8EZ`&8KBD^Dy`Er=8ZeH3>*8vD@3c#^UKX}= ztz$mPmud%Q;Cj2gh2P8CIhoA(oBqpU#L`^WTBFIu86o{2v0CPu4Fys?DO&F9 zA4<9&-CZzvGn+4C=8h{kB(9>QtZYZ+NO6?y0bca5v7OR@mk^$Q;uKaOdLklZ&!HlD z^$lw{nj=LXOj7rjWDCD16OUnLP;?d9mVfF5pT8$QwVpTPVlTAGqoz#zoz8LY|K!U9 zyEtBbUp?wj8uroP9nT)7T8#2|&9dwocC`4)oIYL3jYh&N{X~1I zVfRG*^5%2NiPOSwby(w&0gsXuB*=M&R;)D2`{8lGauMwoFY8yft%KRYCD?rKVdqW7 zTc{D{29^ATg@z9Oro?dqUaU~L(URhK;AU>A6WV{&k4w0!$wuvLX%Jz-^d^OJt{T6L za3H?jzbqg(mhQLJ9{y(9S~K36@L{aJtK`D6sgZ6!Cs(6>(C4*&c8HGmaX*96L0nCD z&Qe2zPS(xua-o`V2!6u+m=hm)uB{<-XWJ3@5-57(*CWoDol|)JC_4AcNWjS*I(SX$ zKP!;n&V0ybj=C7`IlOUiLeXm~HBpp4ff_5{EA$V?I@L5+G>+)43_iTQ#tZJLHW!mT z*1aTYd740FaG6~{J$YEroWsqA_RSqmpPRy_97(iZ3sneZO_RvAjp?{A>R3WFU@ak8 ztA6O~ERcc?l-eqxn|I9jVtw@;o9@f0+L9xBFLCw#hPFL*)p3Fa7+D0$9@P>;_-3~@ zRgn`^M&`f#c}M#JcE8{qHLzHI~u?5SgORWtO+f$2xi6devi9J2?Uuf4_YD1h9TL(%1Etr z1HO2Mh`^=#qBkq%h0GdP?$Z_{78l@khUMm4&Pqr(`)sSvLmE%kgS1KWImeT}Hl?5A?sb-vJRe_kX$b>>{HPMQtA#EJjRCbP$iAu!BskcNpr+CwllwXuy zy|l~&-98UaykSu@P1wR+Z7d`SuXd#x&e50G8%O*-8&l`##IHb<7V}A|n01ouU%Jl; zRFUcCdp(zLp(<1Z-X5hG*5XYr9U(R5svE5Y?wO3AttRMo+CfZ|8r-UdA#W*D)F3=A z0|W+r7-@X7^VaM^0uj~wzlo7GVqR`w3Ey<74B$hWy=Ze$v3D_;l=+xW<4RY zx`o9xFq;tzQkl-7QR1Z5CSIIeXGAQun8sgxQmQl08TXearInllWo4$ard|YH+t_PO zFaSIB^dKAE)H*q!QPy0bHvHfdih*@1>FMU|W%Ujd_@`pgvo*Az@St@QO;&ZA5u=1a zV3~TQ3iK;vR8of4lC7#?Um8XIfzws{Zk5LcFRDl_!i6>7-?~kt=kAZL1<%tLoyv~v zr5`HZ0P~VR$ke7&c@`y+ax9w54Xd=~Q;q?Y6+4`wGA@$-DQ)$8rJ>+(Q4aj)^BfxH zLGW|MJ98x=+pd<(5d^!S=uyfoSuH-k$H$H$;_}&VNfkFRxz^E_DwK*v;*9Sfm&3Kw zOkcHAIGO9Cex_ICyVL>L7b1BPf6wFIALP28S8KVTF#?i4=HN=F=k9NSi1A0HOOtxh zxLF$+LWS?NwwlP`xJ!a$qsjM7Ytu`hY}k z<6@Tv^0QLijI4J|)>Gu*9IeZGMXI=i$+eA6Z69chR#F;B>&*BC1R@tt?(ia>tMRe| zjIgajm#J^T{h+^jOZP?>ytL;hcE`g*3^MvK*W_-9n=0IY#WQ9Hcwb z;>2r+#AeU21=D9I0!1caiZxk?f*u6&$QiTc@38UN8wXTHG|M}{nqi>o5iz2k;hr`( z$67<{ccQXO2)Td8_fIO1Pz2-B#kiue$?*1#4r_2nfn=F!bXOwKZLit_ICOSQU72Lf z1$R(kkv-a5eR+YJGWIXv{I+wZke{$hTsRfQCLn=Sb&9f`i)Oz;vf1LI0koAXIj8Z4 zTq<}z9NDq0{0ghOi8Y0eO{8^h_$oItwvpMvhE zdQF(%$*}+2Y4GEyOP`seVZHgdkAjBO8fNK+C{O)r`bf6<6=Ku#EoG~Xi=YDj({O7K z^S57K!y=`|p-F-79IOa6L8O`mesT1&0>UyQM#A3}@#-uxrRlUNp{UkzO>2=oIj3R= zh>so-4zfsBJW3=hgKLq>7TUl&%_zxTfkn6@zbnw{yJ8=7|o zd&MzvBU=dqBnQYFP743|oW}}TFr{kd?g_#+{jj|m#kZ8X$2L<8$?b2~%Re0{);STX z)5-+ybyOEl^J!Klr9xi~{j@~UtJ2X6A5oYyD@&)wrhoaCY;F7SA7Uwjxy<$@jDh4I*F( z%L17=yn9#uI7nQ>rR?PPh!yrn~?cCK04 z?42}=0Q?B&l4;4O&q3v5%Gy;7K0K`)j;8bSPoX>+xZLkbk0 zmBLiIgANV2)EpJ@>54Fhg#lY}*r>327OJ%$Y%7~s&qh5s5Cz?~BE#i1*_cmM4oqBO zml@lfHYp}+Ovi3uorKy}K;YAm@V<AoRE!JcBv^L1>V5VH!q9Wd32N4Dt}bC z0I{^(UO=*<5d^RQ3KtB3^t$vC*yN}$p{iP0J`I4@aEUAodfDb_+}N4|4>Lb0>Z%v~ zDZ68@rU=Zj`V&@DB2h_l%n3Z4y`))*vMvFl?Vo8~Kmj(RHVz4!3=q_F%J#j5nQsQ| z-M}-?<37k2DNNFED;pQP>0>7P#-PKH5KDWbR=F)u7~7LETBn#K{B1OAtFmFJ{YwS< zpiT>jzigwq;f3r)???@*+x;GS9I9MgsglHcw%^J6aP2v}JKwM->ojVx6Vb-}z@g0< zn!+CWvM!cKMr^Zf(vXZEpEsse#2fEhb*OCqZiRYOvGCNw4kB~+v`E9mz3M~Js>^#{ zhB$T8man;yR540N7nsz~_1M59Y<-prDL!k{8==08$oqUi1pSl1450M+5LEz?V1`Rz z013)I?8p;d^XEot!JX}wbCEpq>?&NW5@8MKxxaCHv-Wdc>Q{Z(BgKOwTJ+T{JP{|O zmDapV>FpY>1G^SN?p!U%JfKdO>9mxeQ2MI8%lzw$Pqr^0Xex62H@~b8n|<%R>s+rf z4=4ONjD7`eFlV_%SaHF`yBWX|6-8ODJI~mdG}y|$vwc?zu+ZTkb1Gl(&x4XU*bC5v z;jD8$RF;0%N5KT|O~;ml5_*O`Zc@T*BvT?MJv^^LV+#Le9KX7N#+o9Plu$~HPZG?k z+U~7rDn^|U9@y{i#5QMU7yx(xD!Pp~y0id3Vmvi(cQ9}qpQ3ZHw}SVx%4?;*hi-u`I zw-QgW$`{4aFS5WM<+LiP!oMyOLZ6n&=Z%L*fE~7+CbO%Hgy`OS&dir>_B5oaBnwVW zV1fHKI@^<}pXt(jui9jFpH~&Ie1_@gxU10H>^r^vFQucw>V1ZKN1RlEs6g>F4#_>M z4eZKl^R#D2cLWMb7~#3_Qc-8&zdJ}c!K-9MD$A~WDlm!ajQIgk5pZJOtgSR+8lhda%83>JyjqWz-FT{7N z`;*A;r?*~N0EeU`0pvo`bo6}0%VOkOYjxzW&`inm`pfAttBQo-94Iuemo^Cu>G~bxX0jWvT!&=uV40VTS3242?Oc z^>bdVG>)%$DrLkq%-`8wjMwhqzaxhsO*>i%SFeLuTAZq{JaG6#iX4rbEae015O}smNPn z(Ws;eE`yi*YBU^KuV63?a*D-O;Noh9$swMcx3@qIoqpv^B;!zi+lc;!hOOGnAxvlM8?^C&(dshtI*$*RYrlv5B{At}#6;YieI8`3_ zdOAGFsH>Dm5u=5>_EKb|%up^xz)WeS0Y-(5`RdOnJx^>4A z{2$&bpG2BI=?MqAkk1-lkOJvG{uA?B)=zqr`D2|YCAnb?YLqFf>&AU>GC=LbbZXvd zYs)nDTY^FE|qB|k6gna&CjHg(~~M`Rh6B$dS+hK6sC>vXwkelVQly!+&iT_W7@D#%JWm$ z6bMw&Rc|uSU7cM#x&TD1(k^7~vvf%z5lNV?v^$}V4E)!kXRA`F zAXvmgi64d(VC**M-8eJTTh$+7dgdG<(CBk|AgQT)wnYkrbWe^@|e z+t&$P0Kw~6Q-&%kw@Is9kZKLr`D=m3kG?OEG1{T)76Eg0h>Ec{tpeyLns)of+> z?Cdod-0D)xYHwLqw6r?JT|A(X$q&2LNI^f|0JQqk*RPV zdCy3?D`*28?ySH0YQfZrYr0=uVeK_uuhWAp021V2=WZ?X%gh@=W;f-@ye_+Yk=!*9Xdy@#uO~BLesdl*?~)M8d%kM+wv$Zt<-Vz>)iOd9vi&a%xtwXJi<0s-rqEo^U?-- zEyNYp1sinMv>(F3OB{Q91oOA6F55p>*d0Hqw`ym<<4%LK64Te4PW z9-1EM9+v|P3iOj`A#Z;O;6RRbSzNo#>HV>O5tk@-!vwxwzi|6y&`x#qS@I@%eKM{` z!{+;w_TwSTRb^hL+iSM7#2g(jN#m--s#LUZXT0xgfHaAz155ZGj>5+`3MP9d5Qr{7pe%bPU&6dzOMdw>;uWrM=qrTICo->Ul> ziO>!z%+C7yD%;)|%>q`tC9bxA*xT~Hry=`)D;4qOs-y{*g5tJRvh{AhbMZdz$ znE*=e$3s^`Ip+mX3N@mtuNimywgb~CU=R;2;b^9AUR7H)1g~KL4Sq;`X#rHNK2jpR zEGL_$r<)i+>m28ZBLZPBWPa@BnuM3HlQ|t(X&a|$WI}B6qBWGQX!Q}XOs)g)V({_z z7gAQ!oMeMUNL@fz&zvab;#jHX9vrSw_J8{t-lJ)B?PCP38)xrjY=7lZzAm6))l;}5 zSY<@#Y>C0(nPaXo1CgWYWxv>*he8ZAlqt$e8gJi=1(d+p%#)lrt(go5iL*~wqUm1` zJdQkV{|s=?krI<5Sv1qb@29|jGM%z%aI?Tg-$B67J4qy6sqGwQ`A!0Q0FD7OOiw3p$a?ltM z$#dO{s#)%*UVnB*AyRBc-d>0I-BS}Z3xUeke1~{DW*WT+{leiih(ETIW{E1*Pyvne zNG;q`(0gHo?8C?Iy9l2AvG*w@0WQVYV<*_2ma_m!=Du!5qLe?=UfJE zbqX}sNq<*GSlNbsfe|%NMW!mlO7lURAo#xCbcv!}btSr-N6ZX5k1T7J*!n$c`UR%# zkm-*WgC)*o0-6*7^Mge@vyT{#=nIzXvKl4zAK#ONymP1iL(N)=d!Gp-hiCwP+&k~kAJ+M^p!(CK}nCW|9 zM^wwzXFjue;@t1aypUZGZ_x8p@7_$VO4Tymf)BIIA0oT9|b#`&Tkam*(<&OBm2Kv7_ zXpPD-nlJ{HLPFnFPB1@# z?c67hV1(xj2>sBP>y%e=Wy%FYsLmH({GWhc_#vb8ah|=C14mRHx|Vn`6bZA@aGtcLNQi0H z-NF)(Y?~UKg=VUQs76Qw*v26eN~A7L9*_9lJuW8rBib0&n%-KYNJ*a*5+K*kT3K9p z!}<13X#MhK4I9uE9Glu@CfSSfVr4M~CY(Q+I*I>WXz*YecqFZ%g#jxN0imbQ-y7^p zf|;JXr)ys&K?D^6RRvLZkb+tSHS|Y*V&%OYi|@z22lgpr)~lCW9AR_VzKrZ$PVH1; zD-+*q`N0TOnrSBmG#_V~PB}POQFL+bGkWJM%4nlcr`z_jXX~$*2Q`g64mN8?8-JOW zQWHM+D^$TBO>vz+EW0n+JWq*7yfi-km3x*7QqfGwrV?riXmgnEwBcD>kS(TeKMYwg zE;~B!sBSX*#=|n`b7zr3zbQ4$MzdLP38c$vw+|zpiBxb0oD5dRES|a>wu^zo)7d*| zC<{VO<~XtXs?(`yenQud5jLO)COB60>oHM~ClS5ys`K1L093v?{jr#f(; zC#hU2GAT;|rT59q=#*BSsP%FzTYvGm-mrajm=sCB;8finNf!^C!GHTRx=`Eoj_ESd zp`eM$L`!+PB;MuJ6Qtjf=}f>I+T@-u7OndCozW+hPdIg{x*wSO;>t0 z2AZwH>-AOT?imlMDWc3B_P21XNK*L-@)I%x+UgpEkZBxuQo`o4&EvjzDemAQa#K*}x9 zQ(bnN`Eye3Pl?tqn@Bm%opL|Bn68Qbij1bc12M|we7ntZ8q?WTw8x9co6@^#LIMJK z0T^pyPDX4wQG5p{g~-QV-o3sO&?XiWEgD+`ggCba+Td}D`HWMqvEn=+WWL5kN@$-A z0;BoRTygom8C6j4n_-H|0Y-}Dzmb7HrR%%)`$JcMq!^?Oro4qx)6u_t+0#`NU=w|k z5|;O=2=e~AIyWiR3mGm(IFH?I3KI@As432S033xnvq_LcX`-I`O0iQluJu{D^UZae<5^c^cliX3P5o<}D>lFLOsGJy=S>XIFGVR#(@Pn! z;V`^EX!Bqh>Xv~rn4asG2qLPpOy<45QKTs4l3Tlzz)+hG*55-DX;%Mfcj)dYN!6$z zVhI66+O!jz?}yJ-;MW7-bl0&UFB|tWRfDrygLdNq(A;|gVk$4^+>K1HjhsEB9gmBe z8edAFk89B0R^aQZZf)xOBs$4L2A`|Qb8)uyoDSZL&haU)AmOYj~Fd?jlh&Q5AdNd(sufzQs z&eKvl9%>n1+<*D*FfBzouZb)_-$2`%s zR8q4p;FY!PgtSi;BI|l@hm`c>BacvI2O4yU-ld5Vn1Pyx@UU7mj+f~H^9Ao}n5GPf zA^x{zwUT^g8zHr?*39{7WkfNb0h72b<#f$^Zj=)2o{&C3P?~gcj`yY)+`xEF zYpTZ~{I0|&_qNZ2SwRs32h^46hcwji!v50w#cD`2LZN)vif(3Afp&#b{WDlJRI}#>YnE2 zqp(6`eZD3ytKOvAWBZg0e~6UlY#DX!QX+H(=sP6G8j@!ublPRT&!y)QDSwMHd(+4x(E1OUtpe z^^3>&9CO^)D&NvmupDO$usjRyR>AYN<1QO$#rb@ckA-H z>Z(LusOtFs%)iFsD+r(RfJX*hb`sm$Jiqk5ZwPS1rk#2L5+-ZnC0ljgKf0g53_^b9Ul^Y-)e6`UiTo+);>Efk!#C)tg$ zpP6*^M-2EA3r?dZr(E{GQY~%h z2}(}54UYNMH-#{^?=?2T*5zy#TQcApEXAVnlW=&x<5|i3cm_g$2x@?Brg}+G-SrLK zaE^@zBy7|A(sFFG#8)w6+{d*x<)`G$O)sex0!Xl=U;v@&mUEPzO-4tZgN;^1D1*o) z__Hn~6fdqX@;0LC(rfiaTebH!P;i zvjAK8eu<^9#u2&&#zYTAH85vqSs+w6UvFF(nvCRCFrVHoY7GL#+JqJl;|QGd0)0pH z1PRfnYnURzFQ)tk1)5Gp%IeZ{%jAU)-GTY?Qc%8yA#t;u4at?;SYQeN(eX~KBdNgd zsmlb}b{y!kjp(2yYTQ@~kom@;YU5ng?w&#ZkWB`+HlIRTV;L3=ad-Urs`$->A{tH#?Q%XrNqd z`Luf475Pp|y=wW@9o~3KC&_O;QX0M6zG~@I$=L6 zgL@y@8QeZIb_$e=Rz)Y{B(j*0vwuo=kWI9Ocb>5DZvK@75FUZXngl>Y_()?lYVQ_* z3v&t0+X#Q$6sd!l>90E7$0_`JO#b|df@46n-uasMDCAB%LU%bp)u@F3lV*AfU3s}S zp!ZY;xjQY4@T0nQ`5p5M-;BF~B)vWyu^B2i}z}vpteHEFnP>MR&Bj=MX#+C$x3xfzz4M-Lu1_Lv7MkNX+YwOxDIq3OWf^w#)g zR-R2F#T9$UEK2wBzkH-JqpZ;?b z-GiG)BUR9)Y}=VDuA$DSNveIIS?BOqf<c+9J1mB3I>m+(Sn!){8tX9VrN*AMT| zVtR|2L)z2azC(z7Jj7-!wQJ?*z5U87yej?rG9Q84pJ;WCGqy|BnaVr3;41Y~dQib) z=u?!d*?z!H{CzSuCffgnPas9&_Nnc`M$SrU<#4W4}2Ym3e#eix;a1*x@JrPB#^* zMR%LX*3W`}gIjdGzi1k;ApTy{WFw2l;!3x!C(m%dJgo$ddK;{xam~sbq7Wb$+SWq{ z3g+@xR7bxJ+b4sKp>FyOFxkzc>zAiwphqqE=q*Tr{`WLNxIes^15US$5Zj!B-Nfdcdr4m-t8R{dXQh z@cmyn-UV7`=54e=SzdePc-^DYg|PVC70ahu%?HIA+oGzUE`j#_ut&1#%MvE~D0*^c z`b_*HNaSgZ2n$53O6)O-GC?U&13m*ig7VS$Ufz^#?lupAy9A zEi+pTK_bz%vWy-;ZRRnASL;SKZN$Z7Zop>c{>_fsa?mp>W=5Nyc=nuZH;z5Htx^ke z32xnKfk?oV;_6iHzf!{X&sVAra}cGE@~QsY;QIx|ew#9dZ4{ZOczF)*ha>4yllU5Z z8d70&;Lc)bu;^P4-|RT+>`i1gNDf|WBpK1Ln!;5F5E-+@m}!tDD{MiZn=M-fk8Ahm%=m`^tayb^!Yf1KxMo6k->Jv3_if#K2w_|y7V!be+*tDW_JFvT z$gStWdeTWFqLN7EPGhHra#3(097zEzbz^-WB-7cRqJ8d)^ zP6go|3N0`vH=AY^3Y3e4(xOUSe`q(i9^azHI*Wv)h@NDWkx~U1E6CVUsP|ErZEgF)f zu}DNASEaU&4o}-tQ6N!2QgVNoW^8h&EW%1`WxcqKkFFb3VN~-etkOV)(=mBj5|cTC zxMHCBkqMi_&|zaMNgm|)eer9DS2#`bUGTkCHeN>06n5oiXbxN+uQ&t_G$_A%{J)Ox zy*#85G8F-~x4RDJV(}0)ds$=-nFCzR++rE}?sP*-c~IH&e%Ma;wU%xx6Iz zV&lvbN;=86UKPgXMe%_h&zEsaP39lxV0hajENN3jcWmmdSt$vxW+`e zMMKZn7sSY!zofWa$zZBA{74O|<5Rkas4No~J#Uzaa5?`&72FFs4TPfizj^_XiT~YF zK@a(&Xl2hFc_gUDB(E&c{}TKCCi_HSEJw$5Jo(4rX>OfZeBl7Ex2Gb!+I;f0Rc|8z zJa><_^3NRi&Z(9GEN^rZL*xKkDK|?=IA)B8qz$8?aqXc7=cClJQM;JO=9P>@MB06| z38B{-vZ9&h_G7L5Va)GBtRXSJXheIh`U1Sr9| z0G*v2IO36`zr{0a(Mv!E)YvD@$*-)haJEV+6oB&iCqUnJo3@}>c0MK)RN3*kSx5*} zru=&g^w6M3XADo5QJ*aTiho|dp%#L!a^JeY*hri2Au{wO)AiWk5le0Av>T=hLW%Ju zJbC19v?_IIvTLR8TKgV?Z+SK9FhH;`0rad7cgGMM?tbRk)C!N8X24h|-#DLL-OVn| zd)qH_tRS-JM27_S7~KUT9Uxrapr{pOGRSnh+pElbnXdsBLdsK8(J2JM49 zNGcVJKw#0lq0}|JS5RN~BZYgkLz#2=>wzKDv98-)f&-%-aVd-iYJ?fPF#d)P3KF7O zYLP@3?LC`@um8&T?)J*zw{YOZ%xWk(%8fH|3OjQy!Z(QB$&SPix1tk-r8PWvOJlS0n*n>c;h@_%Vr@-G)P5ywD8(B=cYx`K5d>B zPF%C~NI1_&XJQLQmBWYtaMOR6@S8H#I)sD}DM}N_q@z-@%y&nvv ze#ku26SbUWQ6g4ySK*_>-XBCg(~ zKbccLDLAWs%Q}VP(O^FL(zbqh(m=Ub@mo0n3q)u5OR}%B;nl&Hi~z1l7WEVcnM;Dt zX^%cl)ED$lC^|9&)^9v8XNaPwPJjrUEs&Zs+u*EJpm5llG5MEa6>~JkMh5H&;8+a}xc*I3SpRUS<;X)KCt!vf>^tD-;bN#a_ z`Bw@~pN$SfxgM^vvWi>1hXg=WNRuP z?s$XI3Ow`kr&D|}Dlxw!Sf zj0M8NeR@vGrD&8Wve~pv3lUl}LKY8ZWV7w#vvy)jIOVKkKcP^8IJFF7cM{ zkCOa@d`PW(Yb=KGHo4TYxRJh`hAeZp#*2A)%;x3`Nvduc z$5N{*L`E-o1lu)yQ;sMa@bi%!nTsB(v$mUQ)Eat{%ARYWKc1-1wG^%r*p#l}|9ZN9 zQU&z2276n0LH<68AKL0uX(f|3>}j^WvUO!witcemS$A zSZFH5%Xjk{R5ls`{Un^{$4fyLAp{(5E6$&Q=_;!=!Tj2O^oi5AjjHZ3SqTqN&r+$D zZ;6jwJ3{GeHtg{D$RE(3+PbeaTBdingsOl!*)vti?EgpATR=tmMcu<7q9Rfvpwg%y zt#pSV-7s`WcXul(A)p9IOT!E>)X)sl-3&-~$52DZ_l&>y|E~9QEtd-SXXT*J?Gd91=OFr(Hl!_c0ANv1rGhV(O4 z;fkbrP^1>7FGM?LL(cTJftTXBn*HNf1!I?W>{FO5(!Qqc)^tBdFj>@}Gv5inie3W? zGKoWTW{!i@janG2K|n`_|3y+VWXyIcURCG3Vn#FX+MX3(0DiQjnfWW2pGvI)Th+uF zL~Q~}+L#OsC$iL1h>Ig7$9@zVRN*@^(^UVWc{ka&eIyF3`sI@f+GCfCIKSSiJnKG& zi2jVS#}j7D^x!TlsFpod#P|*r^6;v3Iyp_6H{*nJ@KK`OI4 zxnghccaG}VZu#Y?B`-{Sp`Hx;Lt0IAN&au}evkw5P;As~Y*kDlO4(x6&uJAy6Cnwz zyz#!A{=oHH;D5fIK5)FO<#yzoXVr<@1b+e5eI}(0E74l6*&8#uLKQ$l zJ~b`@vv|{43(*JEWMyOf&1Fy*)4p%@+M!HQFsA;$m|<1{Xl{KD^D5c@a5P>~?vMZX z`j}kwJK(YJ0}@o>Fk6iVxU#6b-t+^g#xJXhQrKbAfO%3Qj)brOs{o_HE9c3U66B3; z;{MFjyYfnuI>g?-WcXm^wwnMK4M=O@g#yc((W| zc+8DySfAHY`M}%(%!W{L|63&l)Lm7Gd^WcMX}{AnYKHhCz$)&1B74MBA0Quqef*EE z1OEIYHnTY#ohb4?A@u|8#on^#C1n{pCE{SR+7k?8Wnpi~u7E4we&hBu`C4p7y>JQh*PGal<~J)x zq%Xcy?B@$Roa)e|77m+B&*g zal|izcy&F7p6Vg+58d_mt3g=;so*^+kb<6q6VRNC@Q(@5mk|ByvqrBXA^dSj&=CaN zkzUvgP3qcejH{Jwj0=tb1ZZ(qED0t;*ll-AEpNbHiI&-%t>`Wa?|j8OY8kHd@rM6m z_MoAD{eo<0jsbA1I0tHB&uVa&x;d_$7Yxn6g4+M09jK0}?W>#X2*5Q9o+4FL@-cnI zll584&eG#$!uJPs2P=R%X&~^1I^gFx#zbhv2iMfLrehpkl-hBOtkk0+zyz;5ykPHD z1G?*W{!`M!fxh7X^VOrD-)wq&{IwD|pxk6UQTI>OOVQbOx(iZTa9<;Ow z4(H>;IcLWs4}B2^W+R{9le`NAj=!kR+;w*;j|g(8Vv^4Q4M|cUt-3a_((Nv>ir|yM zadLrUQn_=GH5m5niaoB5-ZN|luimt^<#K47ITxrr{T$|}u_LJd$Zfhi_dyxDw85|$ zfXA&M-cj(oJ7KgQ2xwzZ-Dc|XOm$EMqFs%2w!6EI|M$@YRCsGvxc7ks@aWH~B?o25iQBzeBCg**Po%Rd63s!@t%;l@ZY z&{IHwB=&WWDBp9N1P@a^<@e!^=1%ti-)5D-n;q8sSbDz1TrkOccd_*DgXY}%im_)e zpm^8vI+G6pl>wIf`zXb;Yl6(gPk+dc1vd29$U&t(KJ4l_4%429uOnREE>pfQ-p>Pe zrDz?IX=%)4OP~u(WqG&+j(0l1ZtDQGlnYff%3a?P`DYrS3K3xcn(C4LGHgEHd~i>L z(F$ZGoIvfsP~=YCDFDm~9rOl(#s9+P;dB$NYw}pMMo4j{hkiT&VCJpbdCwj;sOiuH zR~%x8d>=3`CZC_YkFBA)U0-|XJNMwQyQ8-jiFQ0FTQvVTH5JM6QtYo7C@Z7JN|uDR zp(Ha?s^V(5d-JTXLQ<*btr?T8eQfbS;po=~6o7A`SV>ZG6!TQZs&P#CGng~hZTvZL z>7SUwcJAE77T%HROi2Tg?f;=43?jL?!#1sSw$$0vc_@y~+^2K!?RbC=$L^rvf}IiS zD0q3(D)LIVS?5GEbAIyfqAj+4<*dV>wPuLfv-xhpT6jN{;VczW6&m9IqMH!6I7R=c zi>g5*Asc8p@j&rY0pNX6N4y5^G5}3J)b#&^znsDL`YpH0PW6HRmQb}g;4{h&y@%7L zjdv+pgmJ}k@6Z3)fN^uZLWhn_JTn5TMhlmWv=E1Dw8jAl{LWp-(ekG{*C%^T@DaFQ zJ8$lB@5OmZtPtA;;MBRiz6DBGIhPby04n$zx)3O8-*v0+nqD`m4V=rkefk|a{gm?@ zjuzU?zDI3OI)5t-BVLTGbB`Ac+bf^41axuX17$5Z(sR+h+M&p(wRZZ$YQ$?h_2+{QvXtjanahK;Ig@D6a{;AYOm#Qd@8R8rIT2sJnv{fHi+N(J4(Ytbszv$BdzXsg}UK=4pV+O2i#{>F2fI9 z(#Qys=RL~<8kICLAV5*vx+WwkhA`-*Bw#}#^hG)N>%lsOo57q&?B?f_LJXBqz=MIl z)P9SS4Fi1@=slC_8U!8&)o_nj z2}*@c(u1ra&B&`j_yH@x{>}|<0ChQe13q3rTziic?IN9rTkb4?lK!?5VA+p0LmkGN zmG_-(U1aVCeMXsG4DSYYsR^wo!{?G08*EATo_zVq?A)Q*^te_a59k?D^?0Fb&&W825-Tjp| z6}_cBq|)a>+I7;ayNK$~r?0~xfY6%Ktt+?#kYpG#VMPKYA`!fl5J6_N@&trP75mHT zjIY%2dbeUpQefj{Iut|w_Z}`gYx`UqatUqRgOjrD@`T1>bL0{Add_w_op;P)eTj@ z%FF-K<^%)VS*HPWp|n3>gwna z|2C#}X()iU(MKj%wzgMPrWGWtNO|d-?r820{5?j`VOfBsdhGZx@*|*X4wgf;kK%8e znlb@Dllslr#EtyLQVph*Iw&h34Rx*K0jm7b@<-fDSC*93zg#&iD8Qo^E<^_s`F{EN z>zik6dg(avHm-b81<~kpp8E^XT;UX7@1`17?dtpj&gbqI*JlOEgxe~2Q8oiTXB-QA zdy2A24k5}NI?7=CPaH|op?d-b)l|(%iqjdKg_Gz8C%h;AW7JQcgWyWMEP?y*kd5fmKE%3fM>Wpd+j1jhaD*=L3fSZZq ze?HX7n(Uu7tu{~xn_{mJU4qDaho6N`ATjw&j0E<@r0MDhz%`%Pd`C1)_x_c#R z{s;4S<-Lw%o9iks;HzT%Fwei8s(&wj4qjXpx!5fee5B(p0W%kxaeE)&9$8;GH~&uA zY_f531wQZWc#ZT&hiON-D-jY&AGcFTu*aO8aJe*K`Q*}_$*steI!za)^(M&!tS3fj zDom9;pL{`_I^#A7O@ST(Dq{kB(+TCpIk7~&zX3^SWQJ}qojP9z2Cs(yVJ@%IL1DRC zO0}it*TUn!odE{&$G!$?b++lnfCKT@aTvJjIX`SSMcj*V3?ONuxvOa%ZNCX%cFjo% zUB)VJUX3vcb^(kBI>C)wBTFOIZL`Nj5X*x@s%&rzTcrlXiHu%`LdM5hx9`>11eXKw zzZ7>yH2v6jCHqt~+DBXDJ=bZ_sZsO!XNp)K6Luegy_IaVQ9F(W9OPgd#8HP9(+V={ zzX50V)_I&@HS*0Z)@#b7A=yFKvon4_*iwn~x76K{v5z+mOCFZHWNj5G>Wn%(s2c@g zzOgYgSHU%As3?aOb9^3?TLF{VN9Be&3iZ!$ZJV)N)@_Ph>_&i5OZkqO0^p!{mpR3; z4=xr%(o!?6wi_`iZ6EU&fMSBL!)j7BZ_{2+jD;@Oa5Ky*384IUJ~Q|=C9eQb0!>(V zr#L0>erpAFl6fT!JOV;c_y%(7FKYY%FgD6RFWv4DZ9XI}+OgX9fQJjWo}#1b>mH#S zK{@Flp!`HF6@1Vuc6G$OkPzs+hab#_AzbqsuWlKzYL|9#LG2Yudn@08`F5EYW#{>Cz2~p7ld|gkebmsoj>D>K47X<#A&!d_8dBF8Dm?5F!DTh*jKvqXs@? zUYe*jp`Nk!-G^Lod;iF!&dFpS;K0-X%OU>G@$c6-OGq6~(}1f3rZh2Gn@t>N<;*Ee zKeq!s$4W}_MXR!mon>Smt)p9KxOvquYSnevo6Z=&K*WZ;5K-7d z;a3uV9VQ-PrQT}N&!LbKo(;<+Fzin6LkF|?#K?p#j#ZIMpR)#7lO<$GzqCm9oAA8(M*Hv+ncq+)yR0#(3|B zwQ4;?O@8AgF}x8uxvTV~K2SBVyuG_?Hu7N~q)%1!sAOzlY@VyatL?z9`5Up(>G@_eMf6vJ4B(lCQ2e^i^LEq>sp?e9!mW z-$BKg23tsN%-4CFUKo44EV?ikz%IM>KX7c{er!)x z_l2M3(x-;9Njoyjc$aP5vS2jqqL+s^OJJwcC5+Ct49rHG=Nzqjk zcyp|<`geKMO3YCwmA^uFL;9LrmpDw&%ubDT=#{Da+z(8?gZc$7yl^oppxSxW6i90t zWctkG`0LOs@`atrtOG=SO=jF@_Nwd&)iZ>RTmpP}<9cS+*qOR5NmJpG_x$Lht!hH1 z9<@h}dcgTMa*PS6fEKG3No%QNp|--(`i9%<8mf8ds!6&f{@v|yCl{3=BS~_bAnG~l zifoG&_Z4OJ51}BLVZ?4mb`9)Ft-UdCGkBmA+<N#0a6Sv4Eh z+5DY;G0JP2Ygo74Y~-sVGK1{Q)yvgH)X-6GXH@@bg#nBtMtkJt%`}lkPEXnMnoarp z!eOFxDIO?tsxmLPaO$0Se`tK(6>qp>YALo^*GU%TVAQ-7cCTh}g$&ZXLL&5+O8 z6WO-9bIe?s(h3*UPh++e8tT3|M%=Wv$a}61x2Yx$@nz-pFO52Vil_xEZP|tIp{|Yq0e_x#a2Xjp!vb72>2VZX_IDAoSpZtMH$CwVF|5oF33fK6)kv zfq194z{?@z#0@_7wET5|*s;yeGkYfm+prBN#ABuOP8$;SkGB&^BzMM-Z?Mt`Z`G;{ zKF+By^$sKXnKBfC|J?4WuDg|V(zmt5l`N=pszf}0%jD+BXikdmYf*v6G?2FdsLQIGBxW@R)WjGHBIaj>VoaaccF6!f&ByP z07?X|Ssa-?O`-L~Dn0?-2zhKoKH>6*AZ^ph)BfyH8&NP{+cY|2Z)62c8;3UY(O z4!$*xo8h+snSS1XO7?ux0$+F~i4;Tu-D7wmrc03DO%L{V#*1{VZGGd1{fRS>qo;=@ zvB&fIkCjvRQkG!u$dHXu8@Qm)%Jr}uUCVK2{zsrL$;R{`V|bC5g`}{i12X$A2t%Q` zjZ3gIYElhhQY)PA()mDDqvIt#>WXv|s1W?TaB!B!k-7P$*Lim3-zEF{DU9YP$4dFkgkIL*Zn-BUGtzmy>6Kx-y{MhA`riD|T@eHxsbqwEfHxv+hL|DqV;yFgFERQg^?R#=@uvsO6OOTOk?V2~! z?*)omsIU2zM1nCf(6on`rZ%@TOjW;N#P~ZU!|4ud&-e$U^Z_&N&a}4kgBpi|O%nc< zx@jd<>{<=MkJG6w-NlRUS)n+3!tc)%>u%->Rv$uzezO-p1xL=;Jh;=1(fTRrhXl)c zo7O!*-$cK3%*Rd?m1vLG#l)yGkEMDCMX7!Xz1?jzz4*eaD%?q6bkn47R~W+=Uc@HC zbevJ2C9wqYZs9jK^)5F~h$vUJd+K9*v&%+3Iah!m-iS|9s{&QUF7JQPfX_?1|2_78 z^MYIQ6&Ozke5tkb`z32yT<`b;ogB?za7s+hN!j@BFR|J@+~mg-50Mg>BYsq!Sd^ua z2&Yd)wL5Zbh_xqkV$ccaje`py$GBhiS@L&~DB`x8mJX!2L9A?OTbsI{8oWON*_jpE zMgl$yvej~aXy38?!WaZu=(0gv!=4c8P5!!)M(_05hP>*>2#u7TcKb32M>+ww?4pmP zt&Jskq}&SmAV`Dq#Hi&8WGw+|KU=}{xDSLFjQ4k9vv2+Kc)W!9Pvndi%B(NCvJ$46l-AZYbT{>Oqa)Tx<%Hyqh z@mmXf;b)3oB6%A$HvTy!D_W+RI9I62SU&}*0@c=mz+S~RDqMg9J}q=RwP^O1i!#ZY zKsd?!fjLmVvA2_0e&c-L%VQ%wevR694ucyu%rGtlu6?OWet0+LTC=rBrbjK9d`0)M z|DCOxS(PM3Bb1*xs?aNe2J9J~)cfrfG3R)tYc|)e5er^;qCBeljNhndc-du4&_o0- zdyT*1KK~Tj{gnAk`d_9wr@*T4aa+c#wDd#3WoPD78``bP8;75cPp%WLHxZ(nxbZei zM_JYqt3A;*W(N;fP#ov+)$H-nv#6t`?*R94%p@*TGX-&&+S0wKvtD*Csyl zS=Z5pue$_C^6^{7Y$JL`%|)((;QXQUkEzPi6B+sy_7Zbn?%+j`ch>lBnxqQ0eTdgQ zz9Dm$ZfIO;kS{1z`n{CwXhzxL!Q(^S=myH4J|9JBz5;?iCd+TZqH2u&M~o~mbrtM1 zHEY^!SLHi3Xe;XO_OOeTwiN#2)mk12acM}c#?&cH+Ow}zJskMqVke2K3uB(Uns zek?1Kw-SYipiQ+4;JlssN-k5X!JH|Y-L?do^7oPP9)ZVo*`1I>6^q~heVxnnBoK^5 z&GB>|pBCeJE6(VFJW@<~9$DQdfX$ChZQLDw)OdcAWA>-oe# zVc@A`Q<+aBC$6CnDrj{acS{ML9Chntj3{KX$mom;+o+^FznWB=2*54sP zxHI|kW2<}p{MInNGSpkySvfyCr$P3if#txY|2;>oJN8RE17IF(R=`SvWiZsqAN~W|6>xNW(8aA2qhn zXF2PUG3c8Y5N8aljPL~SsD3+Cp7*L%AA(MJ8|rZLGnV!^HoHOLMHMLVH&(CXd+1ku z3m42u#zwe9REA@!gX5>K`N^GTa#KhXWeeCmOKZW(JBa>hCKK~Ae87=}-V_Rtm8_zg zzBACKK6XXT1%wDqBcpB{C&)4+JnlV|WX~Gl{xyGEAHCoze`>#cL!1|j+M-3HATI*Q z*_aDDN_>Uc6*!-Rfm_H{S}29|_37-_XQByz}HB6NSw^~BR^hh`?dJ1?f^8ut7cE5bwUJ{$XppyQ-ff~lM|75WF)KRAUqO1 z_0yQb&h*S!mz>-TZwyf}`AekHGyAvhr(&Th;pKaBd9fcYfJM_x9O-v5KSCsiDQS_* zkxo9@%nKjT4Y|K+vt|I>>K(KBb;O>L7=XKw_?gt|xb2gxdlAcXC))yD0?jlb!lPQU zVAtGoUJ%ll5`vs>Je)yy1Di*U6alsb2o8>o{*io)_?f9CLM^Q; zugnaWT&}9M#7ml#E3&8F>2{gSRf*pkswIJ7$zTdFb@VY$Y}knbM%wNBVblfL4NGvaRw<4$ee#9IQnplgi(-`R#bd zF3NNI6{SFzO_majs$WlN`aq(a-kTA^=c8F9;ZfkdQ`*xmg(MB_ov4|9k zzt91)I^f_ldr~I&yi%5$*s$D+QVkK$K5o+rbo^`bdt92N*erXRT;t-y(9#+y@t!wD zj=5Lt5VMi*E&eG`XQ>pzKc&fUCL$ovVddwcyxlscjib%4|GDLYyfZ<`4IJ_zku3>9fUX$pC9H8a0Q zesnqL(-x?#9&G9u#~3f(*CmDWTd85gznBIPE&~E}SyvFqxUs`DO`?xgKl&6xzpsf@ zM{tz7wCUZKAxtF=*&uj+Ta3b1dT=-Ccx_oNP&CWOv09GKk=9!koF_9#SQlf@D`%0_ zvIF~!X~7Qp`)?A7_1-Mvu`YnY0pRKaVjL4pbpEsn?m%Fbc1Hz;ns*#EWt|Z}ju@@a z(Ft3r4LL%}E@43qm-p7v2c_q-*-NF5wY`n0tfp>R8@1>*x$|RxQB0Jby>_Rn=Bw32 zLuqZb1asw393x6*QRX|2gVLWVoVOCM1KO=Nbd9~A>90v zQzWmjf^GAJJ*-q?>fO1cdDpSoV7##4q>oe2FAo@%hDcQ?{3WE1)@VCWzBMh0ouC#3 z?VVrden9syBAO{~YHpBcvSR##*Jfekq;^f+AF2%AxtLse81eusXkD+iCd-$#rrO3A zjD6ySn?=liA^Jzf5$}Ab}y5&b4-YH-#mUcm|*V^R)`?hL(!?2Ki+O z0hkemQb;r=l)qssZy6MRfz~F($fllMuZ@uzJE%Hx_E92HuPB~|rb^$;dDWB^tOybm zBm=~l)#HBWrp_TYX}5+%%9iG;i3yL|k(cW&4uNNk^UTKA&fA}yy@idt4Ce|ahDU+= zAplYwigy?@nNh=?)Zmx1d$Rn^=k4*6y#$8dVn94ed!l~|S6G0lK^-)vRY;y5MXdj& z&d(n9#lxJ^uqAGon-Ah86kz1iO6m>5tnpy-gPr6pe4V76_Hl~pVMYF&X%(=p2yg5x zCnxQ`^WU|^S<{%Ri<{&xZ6!VQ6|^{LvKRQlO6`5UVVr3>Hj)+xt=mm%qb9gXX}%H4 zf}Wwd4}IbU5o1=IIg4c2nos5WvCPdp_Wh59u8Hw8Z9r*$_Z|tl-WS3j z6wd~=PoGo+7u44UlKPgKVk`r64<_J9N{~JXJgkzG$vnrx^w)Yz`@MQCgZ14k>ZLV< z4d2e57BfdtXl0Dh1G>~tj~6Unjb?ptUjiGKl)qqK&n#h$k3G4?MiOHMX7ctsogF3^ zShvs`NWB3@Mq<#cFF`7e0k&|6tVb(jFX6y70?2(wc_mN-&lz)oS=J;EYkIP98R#7L zt&l)&9Ty@@h|f7P;K4lFr3taJsGVbGN1L(qV#U%*^J?yLHBj z$(%JEI}LW@=Vxmr+yg2-#+|h^Vo>z?kLM++`oF^ z+kGjz^P8V!cwKA@l>Q{eIu?q9KOGlmA*2K{SEkktx7pX^mFX=yyvmS<_a0+jG+9`86Ow;NSmT_&T;y`di_ zrtu>JqfdB_vv7;#ZU=ZTY(#3tErwnb2Gv>%)lb*{2v`iE`lCiM|1mqF0ZSBVjZV_AqXBeyqigWcIWWL-mo~`)@YTNzKY>mlXzhiAgtu7cgh9Ag0r{0^BPy!je zv&$qMU`NeRrg+V4hN-L)CAZ(tQrFamYLel4YUsVpPKhL|g=P@I%B(dM23L-IMMVP{ zkl!st<_ik?2Xx4t?QCyYNYT)?9O(EPSoDY(KJC68=Xbl6TA%j=6uT7LEio3hNm6TR zQSw8$- zIgdoVeD>_q)IK-fAy-uO{dE?pPq|rX0FLMBJ#l@20thYo?7l09A@A&y^Z+XB`|LY& z&H258_O+SUw|_dy0*6eQk|O(!(}G{C)>y`z+o5PvAxUG-K3o%Hx1&8BPJ0G4XUNF0Jcwe${OmRnR~<}oU(4G3YJPsU*) z{Ymt8b;fE2)D(YveRE!bWE~~MR|y!$0rSdzJalybrB-qRZc{j)+_3B^xHP1$@%{`3 zqoS4q6GRmQbqw`5L8R;UaZPVR)f_oJW#c+uTBTSP#wFN@9%q#lfhNwCqAm3>SpbA+ zcG6rohFRRoiYxm87;rdtX5{^+>}Fk;{7j^MVPDhMBtHmtUzE@lh`+KoaBLI)I*D2C zj%@5`;x($fTT;y8e2)r#GAhiW4A=np4iN+5GaCq&pJ^v;rngt<(Yg};f6f2i2B)c5LBb6AuvdMR-|`pHse zHTw69rk71nSyxeycIjkcp|ilMO-_>}4GlXqEf-1ACJhJ5g%+1=TRgUaeSEd*ld zv2k_d<*0w8JT#Xd*!^^iZ|}R3|06&m#i03Vg9q9nXvSFs*qWKGg)`BqGl7fw;VTsX zFq)-d)+quDy@9P|1HHf6IBe!i?pfFp?6C=_90qr+zgUpM=<7c3USfu-14*@OjGEX$Y0t9fFWs~SO8ot`f4-3Vx3w0xqOR|=@GTjiqgggLpt~b1~msbgK3E&^@o2|f1>RD%krgQdzO!+1{pt*pAW+k!R z@kkjKL;DWi+@7n)-8%42ehT9*&|?BMGIOQAJAo3daW*8TMG055CXNXuYcF+f;2-Y` z4bvh3#<`)o)|Gbe&x>+jOE(%nZY7~xtnY1FQz1~bZJ(J_xK{}`Yk*Q|0VVB!iPev_ zaXQlTroSqzfJpLTI5)XmkMuW1)0aA|E2TdM83vNjitBeDE(R(e(mucY2XqLcoJe~bOzWdC) zsP63xEQc*1@-9`@MD$tEq2Gc8JyM&heq@N9BjbwBq_}Y^Us?;r7(}@l2Oh|2->}+s zvYVmiV_;jD#>a*}D{wRqsSXC-z-j#qhm_w0ggmS%MJ6otO5oo+V5^t~ZzUwQo@$=? ztVYy1K84q#FCu9n5yyu7C~(DS`<{GTwR@xS>WY1Jiy)a_FC%@a7Ko^SPAUuR$!i`m zw@0a%Pzlg+L=fW=AmQFycu1g3{j&U9e#+m{d>?XP^@K@yjHhDfbp;*PvA$j(2NK8g zf8n-x+rahAk|f3g?=np%PPT`8gy3K%t?uwD%;sXs3vC6k5#<8>=Ls=pG5%F6C+}A3 z8ws9kRqvPYtNwyvwJVdm86OI@DH&EBf2sflono=`{ujxdATQxI*BN( zF_SGpenLaIHLv#} zhgyA4#SjpC+Pl;mzLMo1I^cm6841fNU`83b?>Oi;v_qGV21%cb3_&|Z;wL8WD&;$6 z#Be3;((6J<(Gr|kKWmxfyco%j1a?!eA6;k?lTHbY8~cwM3X27l*Jt_;9zLNEC3|kO zW=kOV2l?s-n6#@NAh;DejEY-y7fjlw`ud%C;B=Y3ab#st7X@tK6? z_H}(Z{&+M;dj{JnzhZw$S>Bqct1+`J)4b!_@ao75qWSVn$%}1$ zV*9260I8w#@YkbR9xaud|2Fe{_9AkslrIE2ZmN0pQOP&RRXeGh-gnGZQLgfFKUml# zS)2#FZkN^XU16zkPuslfNCp_$8;Ju-Za`&~8to@+vXGS7Q%ROA)Wp#|6i_e_-P@rv zCNui2J$uXI?8PZygeec<@S}mN>ab@@H^MdDA#01DRv<*C_Sp3Lu4hWzFq- z`hgWl_oM64vlC4!XmLtf;$#CjfS1|Uz5Q5a!}96BCAM)uoXzvC2v9KYmW4@WZ^=`G z$H4UltEy|ZiEU{d+wka()C#1IKR`@G48{A=v118UF=O*6PC0A?DP5QO>Dj}7cZut{z42zQ6g4D#BR{3_i`@HAz>8IBxea|DY1R{^U%-!yZ1jw_N%)sZ zr`CtfLQ9HDs8*g&eTd4BHQIRvTt>e_pzEhiO8p=*8R0kD7&}{@hKb1LBeBszM5gY$ z(X#A0uKDB55Wh3TPLK29TTJ|R$(5x9)(`LYg#Ere{TG2lxDBs$bkD50hF zQ>@Z(jaGO^y>@Lz)pNDS(?Z-sp^H2VetJz=aW{MTbweD+^kPW(U-sFz{?@4S0JJzt zage69>f{8^)rCQy+@|ZS=ac$G>s%GpDKxcAOIrtcD70$z!q-e?h2DI^ux$&&yPTeg zA--Beiwyw6N!2)ZhgtmeUzh1V%V(N9oR^XYaocuGdwF3m;kB1ORb6+o<}1^nAd8jx zWAAw8KSNzRoW-Q=f$U#wnkPMVPB+I^`_3Qj`g0UiCMEM{rPgH-fgGF#=KZ3v8!l*M zy_olCRT{Q@rFN$`%8_=oIG%L!o(~|c^#zwlYK4a!J4KoCJmk;k1X4B|venn>)u|~c zY+w1o0EBS?5Q`zX%bRE*qHe!Cswud00d&s=QXXLvuo^97PDyd%Zwim>H&cBRwjmN- z!+vY~xDG62BoK3!Tx%k_euF5aO#qBR4O;i{7IcjfAyZ29zPh{WqVCu`4)F`LJ$HIR zsUK@gby+gSA93(tS<1jD{~G3#$DLUs0`{$GYxpfe%M#8j!Q~w0uYYxcl@|YOgN41; z1x_#$2Gj@uhtyLUPEa-SptLaibx~in=XlrUNu0>B^yXdknXA8Nx4+LYvmK*_;_I=D z>ðv8-<53!l_v7*h!|)IF5C`8Mt+?}Vff!FKTD{qMlaFn)lfegPyMJwc=n3eq}& zDoZ^COpF*7wej=n9m9y5vO&c9S>8@_yxY5;{NQ#lG|F%_E#JxfyDs1Y~-C zf}+{5vQK*nt|d%8E<^ujmk;l0)OHnw8Z}n%?H$d?vJ)CcKZrjP%X&S#l^)x9+5_z<%v=|>lc}( zzgQeV=6sLCxwM|!`l{mVSg)zBoH4j#4KI)mFb&)20;~~W z%yj|7OuHX8@Kmw{ES3JkE>kjx$`+4*&yOfs{HaeNsH`N!BZ-f?&e^@V{PyGKBC~Js z4k`L(r&2UQ_|7kw;`#zh?IcNDO~58!8~<74`dNV)#!d+$S#A5N)0({%q{ z1d)CP8HxPiZ&jbaa@Zx)%o}~et8UG_C+{?wu*)(oXw;jjNOiavouZbwjopB~yh+{; z=RTjr;V#H5_XTy^mf#r%0o-*CW$G*8f%%6hU(QDkzx4pkBg9(#S5Y`L%@D@VFCuEH zC_U+fuNDV(@W`vri^TvunSgkHKZn#2zm`r}6D?XG@#|tg$y3Y;R|mFhI&b`V9pXMt z>7BI2871WmUy%V7lUFjnTE3d1AWXJhpGSuYnhS$>g+3Y{EW8##$G_PY`#CC(inYw2 zD+D6Uf_Fn_g3lT`T+YM7^Bm@4em?$Wz|)i4!xNq#o|w(AL2?eHGj+!|0XV8Sw`k?5 z&A24ijsfW{2`$u7b+h!QZNYQHRhB4P@}Jz&qxC>4jBxqR28i&nQLRzr(i|TuvhtL= zHvcVP@-cvvfM<=FnbUV*!@ge}WOXTGC7tpSa;;?XjAKHNLXdnFS#$BcV zgO=3efaBa+Ic7Dc&xqMIur~ayvZ?dHM__<=Hd+#_caOOP!tVzta`Eh4IKOaq)o4D< zN>8`h5pxO8jX$$wo{wV9;B`QW&~DRT7ncSN-`C?jp3hwA&O{&Lv=eiLbz4GbLXt*b4LzNL;DDjPsCC{-^$h#PDuH#CiH*lo8P$Z z{BA>BU-XXmC>t0boNTr%^4}Ly#2K`YKE+sLrJ@|$)>`{`RnMxeQR5N5sz1hAx&-N~ z5V=w>N^9VFgQcCM2-hHiu=Rqq9WtdgDP|{1K;t;)*8rg{*9 z4c+Q&W5#j%Esx!()aF~v?gTbSfPkx`iCm5IYj=jENunpNMT+K6MK)+UH0)nc3e{-! zWrE|l&;0($^*HunI%B?;(gLK&xwn~Ho>(nOe03IL>{D7UEW77P4BC%uL%Cg0Trk(4 z$1g?iPG;?YcvjOa`<_NK@at-$zm^!+!^7r<< z&r8((Z)q`Od4YAM7e%^*w}ar-S?dc1{0n#MzZ*Jst3n$y6g~DazdGdDe`^U!x53d$ z6%Ky)aGBjzy8$BOGmxNGw^Y(in^uC{Hf8}*Bb@UOfwTv@;5;7Nmn)e;#RZ;5B|k_B zh3$H8{)3aP|r6E=4r7 zKunxHa;I@%;*GYNyb)S--nM@TRA+;y_+__G`x7tyqk`@N=}a@Tft#*}DrvgXU~W+*jf^pfNfFcfVcJz7+F!$6=wq;&MM9g+J661f7?Ic)6p00Bbi#eH zYo<@IoJ&*SYKndl-KN!0@F0-gS-(zy7qcGd|BjB^YJJ5ie00Skb-~1_`QvcnuMxzE zZRd?1EaNVtgnneqj*0$o$Dt<+)R6h7W|exnkLB&ZDr(^>D;mT(S;i z70@`}IM`x{2Heo1&3(q2)3pr0Z^YZAf+HPE!Rl(2wjAOF?P){vgovhb7ZdUoYze>; zCiBPNol+l0VAwJQc<_K*s0S_&uK(t;Yg4`jgfDqMdL`fsrwjd30mVF?CDNTY;G+d> z4D^ErX=pK}X-~YijXW)+)Z!^x!~_<=)UOmQG#s-fVfqq&>C~QMKqUn3)s9yILV%p~ zfIUG5aFr4I850*_1mW9(XV->LP&u0B=k2OK zU#mmDGG1L&&s>0;+q7HW`N3R&oX=G=PexvTwZYq&|CdOrePP=2=_U5AsM;B)z1ViG zA^s78MPk*<`IbNMVzbvqT90yxEL)x&yt>0a+ru9fPnHx*%-Z@86RbN&hl{qoVqg?? zS-n!}h`@S}XT(T`>r&4pw#riXb}IAE`@@4W5C4;Jlc}W4L;&(w=z}B8zi~w5F=;}+ zMT+{bD8JVuIM-O%Su;ai#BB&HW|PngSSTITi)?T^$Xf}+B$#+(USkA3zi&k^_lL}Z z0ZM=B>idG>xshN4ebj>a8^3=J8X8y;rP}w?FNxd}GDAeMPZJ}8*-_0OANLN1*z?!S zzPvjYUC7=t55Ob)ChRcipXQf)#*QXth{(J^z9DrX=n=CRxiqkmT$INDp6zp+frDlb zZxrNJjmVEU;47ToZBAx;`&(1~;Q&YG!77;&!4C6NurG$Dmmzk&YCGb%I=EsC#g7fg zU=Pv>G!9z)>~b_5o{K-fpRQJ8S?#4r!U|=V&KXDQb)WxHv7b00wSR~hs)wQfdmvZH zJ!+pNG0u~PN&DIj?%cOrUNkall!kJc^X<2|a?DUHFj>KjbydOGe?*78l3kxY%-r=& z2fFGoE(ev`5D5(QH=(rG8d(-b@ z&YXHKo2TJHruqv4$tSzmjisbZ5O>4{5!X$}N#^*<9O;Ra0Y*U$Ci#9{Sf}}H{^>f;wrZUG##R$l zKHk}(EaYw9Fo^>{vSTl*<_Zy7cVIYs+-`Bamazz1egBB`G98%4+OFk4@7IL4y(Zzl z{Ckh)-~CMjA`jTtqdhaoLr5wfnDebc$Ra%Z)N6^`t>10pv{k`Qy z;1n>1v!_L$-wF^3O|I0Dp*c_)RU5b|N4Ml&%7slo#3+66qRbXz#5xoA4A?hpG3nA6 zkdlE&3q|}|$uw2X4mEM`2>C|eS=jtSDJrPB-|Nk4xu0`sWXuUiM{W;%5oY(S{c)|m z39$dcJhAle?$KDh1g7i^1j1H}c)jj)jMoDGkq0z*=7QW2Rn;2$uH|EICWyAtRtCyr z#rG_If&;ms213O!o?gJ&o&IA5^1-~aaPD#$D?-koP zl^f0(x>Y&`qkWQiV9m5^mw9yxv;&A4=b;VlNR*qk)8+w+fB|U!gVd{uBz;8qCsG1b z{FyXv@8f^D^oqZa6wIMaM3i~edC*sfL2Nfz8;r=G`DCDidk(llXt*2biK#G$839DK zo$s=Co4wC3j{}S?Mc)FJ;Ah1QA0GFudvqfU8fBcAIxQ?pI4B%p5@s21cs5R}82nOu zt{C8Pqbt5EGs>H|SxE$yWAwg}$0$nhw(s4>1~U4>^%OvaPT{Jup}`y?)WGg;aiSP z>qAh8sjBhIsT#5U-v<3u$YX_mWygtNMlD;FfLZ#R8LzRxEC%l>nNIux1?rQp`9?TF z;$2>Yz^IFr44Ju4?SDwkMLsM<38WTZ8IjRQ0aY*tUfT%uoZ{~;hZDF55;yH5%rs_| zCvgIIlF%QfFAti_wXiJ9`OgZ`6?81V2Dt(&2a}Njs_>UFo7hiRKN{-#)R6HGv@{Gv;b_?sN=)BhUCznA6Z|<>O(r)^#i0jS#&=T}bMM{VGB--rUyM<-xJ>(@NrW zcD6h;znJ`k! z{loF6;+~g*DD&9I2;--W32{r#%BQQ8kaO`|joLT_MI`xl>Y~~lOQGxOW5?h13CvF> zFwYqYHN+H(x@=5`@m_x1aExtJOng;2#q#h6g30g5X2lA@p235cF&l)JwIO$2Cm4w; zIxe^}=jt6D5=4z~%y4f%9Ns2^-U64xyD(Wm7hjl+Q181X9ZHX?8(sCQsl-Yzb zWI?sf;3cc5wK{qY(V`!JH-lAf2Q7*4g(?f%+9FNnR&N+R`V$4ZbH?0z%DD4!ZxLvM zvtn7NRtGa){!PagVvXe=n56_N`fL!BC?`p@Gce``~=Wh3@AS)aBLKZM67*qnjq9 zdk+I;Dv5;9LCF3o8xbX2S{$|kcBZ83x%Cb79MJ?HpxiS#&7Csgm1E5?|NlW6j4_u+ z=pySx&vmvZ{_(+B9tZJW^v}Us4hjl;gzc3Dt(RV7?FyxCs+}DlcKzhBS8J+M>vO2h zO_L4_INSn->~jJ*_u_R+pF=G2f}^;;4?YehGj))D9+KP8?y3oy)M^``yaT@*oMT8b zbOgfOPm>wI<*I0*925Pai7X;$j{B8ocyU~myFx-Ej)km5fpW=Jj{L!>rcdNb&D}i| zRsD+T)vT@5CbtX8oVvy@ge#;qtA&5rvISqk<&0jea=IU3ru)NZOR})7wj%5~OgwHD z?f0@MCBb|LPY?^}*{9%?1qJlxG$bUiK+25rb+>&3xzme$G(X7K$80HT>TE`BHo6Hw zvO*UHIQlY#u1T8`ZH)uij>&~>LNNLrfO*CPl>H0BfmW+QY)2Q_mg4nZgSb}U4}3i(q4yIz^_8UvD5QQcR)C@tkY_akpw#`}x#M1)zAg&h?0@)|ae);496`%?S)& z#KPGJxNEG%_z4un_W8CMv6OyRoa+-z9zCqAu*H$(>?R21j;E56mA7EFpColx`S z$tr?_1&b%LZ1V-^k5DvqkU?vj=aOyq3g^e|^#W z>=q+U+su9=%V*8$pKfpNX(~NzZq2x@9Z)R3b%#Q!A1>1}JfR*`Oi^zNWD#}u9RF@NrRidJop)x*mt*V3 zq~yGDyPpQvj-b}}Tg2s-402BhuFg44;j!RkH*1x2aPZ0XFmRY&0fJjHr?GC|FGQ_} zvIe8;AEsJ8qz~LfO(s@89&l?~t~bF09w{GPsc*js1Wkc?KbLR`^QS4TzzpPb+K5bJ z@+e}#mjzxi1e(t|kEcz`V@wzDsj6+pX=cqrpLb|n#-$?pZq+%M?bcHoBc>3`+DxQa zKE_U(dj%wG?eaC6=saWl8l)f$+5s>n1`U4X@+QypIOo~eOvjd|W&#`E`I*s{mKu=V zvJzhk5`+|4JeJ0WjFV{bg}_=~T1S(N%usHnQAtz+-65yJAr{=9-^t0dm}x24FVI`Y4QJH{qd`uB zYC8GIf;<*C*4`;h*r@a7DRl#aB<$c*e10!ck&^Vt^?c}7V8VGVP(y*SI~ta1R!A?5 z#{#4jI%UTS6({3Wm+{@_K2;ySwgO^fB%zoB{)Seo@2W~_)7l*K(uzPF30%Hc+4pet zOPCJsD~Ca8P~kv8n6BsrUR+ru1nOk;^oRwvDAo4cC=&))%;CU=PcxbBmxPm+{1_jR z9}8RCr+4+Del3c&#jPm7Ga7${QN8g}Q;n3XMdC(c?uF#%ET|=PIW^O*cQMN6S9N;j+%SjS2OP38)cYyXHfrwDO51__C&F3y5v|GCO5Q z7e3ue!KU6Sjck7`B;DP`lWFeBtLBt1Bz>fx8FSfiu~a_ptB#fDGDoYr@b_#y`-H{M z)^*KzKG5}v7P+sw;t529pH{m5y60#8Llli8zzmJke5vH$QdRhscY-gIs-?;0Z~a}c zvUb+~NPDsyBFPF*b4bfDEjQe#UFS<`e2Q`SJ?qcilPzEejUIZ6ARtp4xeFrDbmi&h zDq6(kC*#%txHX!|ewarZ{+I+(VHS?naEh++7&|vqF0MG2#f$6Qm0bqGOIDSv70iw@LZ{5b4)uRXk$7mB`b z+GDU6G0{QpRp~f&HAjqRqg5ceg%HiP{}8d@HCk4VIA>m2kSdCei% zHzlT28g26oMNu9WJe>ojnrP5Bh@mSkTRAn-uHZh+Sddc}Cz;Vr2G2ziUXv)0_iS*= zX;6bC;YC`i;>~s?3R=E)5|sU`xAfPkYaWAjn+^tX0CLdkf0x8*p200tJLk7He>~`B zRc}!eZ*6CJgh9}Kb*3qX-_(71BJ=vsA?8nU8#lqHq>2=A@zZ#D2T}%+p9^}@Xk}mz ztfR5NK_#nVQCXl?ia;Q1ok`6xW;hTUuMv^y(s`fniDDdAqLqRgcCpR+#>=|sAV_f) zq5Nl;`M(EeXa>(IL2K^{Q2Y|#lMvEKpAYy64lYaO9?l*ADb}flenCY?lK25Sevx!1$DoRxz zdt-z{T7I{bWnivVqZ8d&hk$1znM6*`U2zPdi>}i|9cBs={x5GaWx`okYUBcTNb7Gk8HqCVrKJFYWKXI}Lb6nz$RHC%DEpE>TTlqPqX znr7A*NQ#3|hW3nC7ck6&TC~ozS<14+KiGebp&8#$s-fe8X3Bl5L~`!p^Y>{^8Mq={ zh7OO)Gwv_|2-mzo75US}Ug#B^$(EiG90CWJkhEeF$IgI-9WSHv$L^3WqpP_$0-nbM zM}rkFkG8g`m^q9JcetHD_Kzu4@MvTAl_o3tz|AN%LHBXe!WAg6oL}!+Kho-R-*T~@ zlJu7|Y2A)UG;^U)I5(Z>^msk*f(7EMV0KQ`SBb)S^9qg!<-v6c)01Q8!o8nQSso}{ z%_ur<9@2fz3VuLecr4&8KSpcR&eW)?2(*!1gx%dl^q^%huzoL5C*kexF!D0?{l63# zsr_?jZUL&JOLtj_N$8IN%*Obk>GXQ&pFXv1qaL8X`Ry&I6%M598kWsxpy41+_H#O7 zpoj?D2Pk{F8>pXB9rAfDb(yWYzT1!CS=gs^XZg?#GzJE)LmpJQbQ3eQ4y$Pa)lw{n z{CD7z4|%LG1foGyy`{vHg(g<>=OZZd0bYRnCL0&CjO-EoEsfqS+R{m-l>oHFKEu{! zYhu$fGWua?s6RD&!C-6#Pjx_FVtEl;w%j#<*h;)%aEuYOf95OIAJs#A7Xn|AmJN`* z%orDe9R=1a`Z6!Y$&m<5ACOjx5$}&n2aOmw&X&hWe827Bov_)K*JAL7{ESDh+(9r} zI&_}7PNsxtMMq*c$q#NhMj&sE6^zz$YkvBHvWL0(5zBFY0KRj>Q}-iqj&ux3IUUtb zha0Uy?UeR6c%RVv22}^o>sxXugdUf3PWbywEAGms$n4m$J}4)csV!Cl+>BW+j*)Yk zvb05v?>z~qqGuH02RoCEJeN)_tp$Ac*JeA+KpS}J~1dH3;zRye3=Bi$% z%T{7O3KS*uwYr!xSj2<;F?^5kb>|_cT`Xys*|@Qq=_P&H&yx#F1U(M!pij6M`FS*05DtKdLl~n zCzdlzz0#N7Dv-9s$^sk$h_s}ckTSFI0>3=Y%;^_JTn%y`Ac>To2|SV(ZdZ>Q2^1WC zV&ntcMLVaa%X}WIxdQ?AO7y2j=*Jn*Rh3z@rYn?UnKEASZX-0`BxaDPn+2}f7DOE@ zEdLl!0aUVbv*2dsKoQCvqTw0sXt=l8or^1M+9dMJfYCf&Z>SCE>gB1nW7STiR_F2D zD$*`^f$X!*tf--7#OiRXSuL-9zwF!ES(PiD+Sg9z-FQh>>l^SBVBvJV)y4o{$iFpK zvpND|$dmbHkuMRk%fBAA#Qkab!756(ly}se$5G4hh*>RajT@fE&-W*$qom8X(}D>N z$)B^paJoj#Qkq#Notbb8R5f?tYc_Lgw=@H^1mwqO1rd6yM(rdIMaxKt3v&sg>ogT& zt@!J|fuBdnpi;oDfqt?+5}XBxlfAWv&;UM77K79V!g%cj!YBdC|~gj$5K*c3)H*mR9~-jeUVRgU|T`r}dvK z$vMq;pG*OzJSU%pSWGLiaoy=?hAV|a+1;A`Ba#O%hE8+6mvNd@FNZBp9;^9#Jin>Z z67ns63O)BW)+7PGgs`Ly(kOC8DfVe_znZD+^J~7`(TV4SWe?tSPYbHJ_YXb0Ub58; zbF1D+n8rm(F+%zb$|Zmy6jYL}=U-Ee7k`i+pq8h8&?KQl2kxsGS~&EV5kXIwc{vk! zy8V_MJMLI19$`P9@IV6;7mj5hpX9L z21w|e6Ief5cvctB@+@+}78cH}>flW{@Mbd4>VCtmqxPj2Pv=1v1cJu$yN>Z=6W4c@ zz3xZTH4osIRmMI~uxqdnDm$xpd@X-&I-pdHJ8^O3L&5__oO#J-O%vojR;A9VY#G;| z%d~iDX0CKQBNRwc?(J#G{PKVARu<=BGMrAq9V3CFbQMoc*j{gvY}(^^-Xhj0J`Osn zX>Tu=_;xMcO=?&B@LCjBGG%?v2i$$(EKt+pms7#hE_%@5ZLw@!S0}GXJWX#|l=Kpg z8Jcdp?;Qak!F^KKJPFj-N1&hRNi--&MX0Fclkc0qZ5t0t;(9#W;tH>*33kgxy-+1V zQIhdDyZUt*m>rQNTXt-oOY9=3jbMZLR@_a zo9F2jZ<*5{4Qo`b!t+j&@FI;y=%97iMRz4A!**Zx%4FzlCuiWZzz5BN2e?A$pAL5R zs67S9Lxst19MRx*kuhNeM6w#8R?LAID0wcGQcM%w@4N$X?_@HPv*|2TtnWS`JhL+PhWJ_XS@! zp_zVHlhm;1ka4ZYir!If(*&jdB(>`8=@K89ko%UI**2K?TOg}qUKznYD8GU=<&ENU zqpR{99o8V1NMf&tI}q;|nneQKxG{V%_BjP6ok)%wVNvkUb|b}V59=pMMF>^Y_&ZN{{9Jt-(O}WFTfa~Ba(NX38Oms#_$HCmf&_% z!hPYpA2*3si5S01Fde{cXLGAu8e5=*5osJ>W!jz4b^!#w1a6RomXe5d4W7OJV?(*h z`S(sB1TZYb%K~2Vp{S>5*ThJnAnKzwfL;ArP=EBq9gbs?t?%jIB-;ZDmIrojlqUhD zR=?%Bs>B(HknWXESe)E(IBJ5|zeD4X)YGu`6Teq4f$6j*HnQElV@XC5tCJ)szl(0K zykq@}kM?isCm&0bL(ky{C3xUJPS3h2yRr2}>2>ngBKevh94Rl9EiA z*i1}Ud@Ii?(5gbJFm}wb3p6OvyJr(C;hi>Hr6AeT$I&M0pr(Cy-m zgEQJ{{&^`*LXwj-sfdx}Nu@ej$hpk`&Tr5Yk^#hEwLso}G`4QBAO37W#Pw`Y?G$D) zEa+@7rr${SCpQoEhsm5)zl1_$)Bq$2t=2q?{+UKeiZ@*mNF?$=>ap1bYF02J*p$97FvQecU0&ciPPu+HXbA*(*wDw+h-Y^PM8`5G~ zHd1AFc>m`XZCyx#6e6=^MR==W@+F(^SGgM9lk*HS^OW5|g&LE7_PG6qqi0~@y8K$F zTboP8zDWXydyYTEoGY1ffX-Rz=6H1hqs+9mfzK=m_q+SyBW)=bv$DRSvLiM2-KX%l zW`|KZl>seXY|I9RFe|+oo_iML%41J0jry60Mvy&skd#^a;&+}j;dX!7|7wNb#*2FfFX|v1res$aeSqW_ zM{>Elbg+3TIMB*)4zGhcIQ(DX{0$T1!Vj^}YHc%Jrb^NwYU3~Z!n1Lk(yPxTPE%zH z3rqXQcWhl)QoBDYbG2-Dg$R?vesp?8|*93BRTs)AjS%!@i$3A)$U_A1Gp!n z>;+<*H~k_p-2O=|s8Vb6=t>NvVpa3^K&fWO-hcE;uUgr?m(C?8>~B#``O|U2xCqc}SOd+5 zkhhcy=-PS8CVcx*k>deZ{2PAzJgunU z3eybHe^NsZJ~LbEEdldDS5d($ufO*^-hJlb5kGb*YWEjvPUW>P;Q8_V7TuicOs=?A zSg@(YyKG!`^hAbmttYoMI(gC`b*iii5stlgm>z2=#F`p_VO=&e_3o?iQE76hAH)R% zum6y1hCQO#dkbFyw?z@T-ErqdE6?)0$HAYiu9pKm`5U~5wEsKJ;UlB?<;PM$h6(IL z&59$M)FF4n1Uip+@qBl9h|*G&xFJ*m0r{?~n${DnSLwER(zO>^)_L?2rm4X{`f; zhO#q|75=l3OZlF1DF-P6p4dmza)}J+QiMO0&c!+z2iWdeps9V@Jo;n?iL^w!fkqYA z8pvBxSr%-bkQo6b^9}E^fsn#3E03#`ByPfhd`x#v&~XOH`_f%*{Ib!piv?`_Ymfer z$dLKKT|D*PmRjGwJ8?{}=UP?`7_{u#Dwyxw&sF^U&#VxVGJG^J`~lgEeePqPdZPGA z?m>&bRp{@Q2DGE)2@>&b(gD!YNg0(j{Y}rnkq2#t$pa`nSG0Y^C5f}?wvI~+jZ>~W z2Ny7l0)_!|VCVArLis`k&gERM1o`ot5P&|M2i8}-VfP&P!>D}jey`%4@7t?i;rG;* zHDRV#qrYAb=7ufAbpE#%{dUG(g z(79rtW7fK8E$k*ehG|Fr@(yTynl@r=|G1drgi<1nFHewc_VQnwl^vx{7*G4tMUwqA zI^=Zktrw-}*F>AZ;~AoAFy18ioKwIBimuZ z0~ZQIR07x8P~Lljiv<7iU~yIRAbzh(FskWdY|`lAZUr-gkw$_ZhsE|%4sm`%X~#KY z#h+RNrzUq9NgUW4n+Z(ew%Bh?-bF1=KB(~8q3VxWk7=TWX9^le zsxHA!@&r54-`3^botP4y!BM5x!!=;dy!DoHvtV3}W*x_hGwR&`TMaeC@Ay|JCGrNT za2fOAF6F~5JSThT3Og`i%Sr8t z|7S0wY-7*)8_L%Xq%Za-h+n5-b?Dh@TG}oiItlx`fdM0*1Pu2tT3h+Y{WWNw;8t@q z%qU4lt^ZJcsF0Qnyk_;f@@P6f*X7|h=-Imq2+xW);j<~gcpLV2%BD&@XK>{JLSfXE zYCp*}e~AA5_3Xo^+DY?Rs^ph8gg^jtE8u#DNZjsBZ+ZlfNm67XoTdq_5@#ddYkc)5s^fS7%zg z^Jp8^x05$~bDcdkRzhdUXBoZ&zl)q-fj>Fg_BFoVyYF1mo=?rh6WEBmU3Wu^h*loK7`QNSK5^a9%hZAY9C3j|pYjpGnh)6!VGfe6y*SK~nJi$++2Y^+wANzFP>- zv=PH7dv^G?HY)Xr5WmOxzcWBK9{+@*%I&2KTB$C<*>Kq(?X<4=?QtzGx@ zf?MGYyW1{pZTYVeq6M3sGsr^NXkhk}5Q8*feMR<#J04JZ#W-x8t##*gKg!vw(pnZh zWL+a#?QlQrx?wZ$Wo^}!(!kcVeNAWN7E!;--BREm%_-Ynu`r=lkNhw&Vxh{TXZCFJ5=uqDrNXepH2NBD6=TWHOeUy6yQJPF%%W z65{@RErSLcGW1mG`TKU3wwW?vz(d!wu+!&Gny+X#)v|#}#T70b!A&XvSG%z9xItvt zXsRutDOxSM#(z`kZV7PD>Xpw)tLB?r8vBN>Nnx(Kq2!kNBX(w6=~0*MQ%%0U^nKOD-un5T52?!=m6&)j3-^)<}TtabB*<1(_oRm^It z?x_g_-BCFMV(r2gW8=$p`UVdgC=S`*n$IU!a@eCOWh$W+j})&l!{Cg{->)H}9_`@; zRbSx7cu`jo&o^1DojWN1TE_0;wf=w_L@-ioz?IrMLel)%WY7s3R()VD<3jQ3^ZbzA z_XqOQFxE>h6z)rnngG<1ogNO7d5_OC+1BdYowZcaluh^}eZAGz|;v}vgr*ZcZ5)ZF8 zy~+zv@9H|(u8o-JdwSk+e!Z6>(NVkX!FTg}f8Dr;5tA=Uz>y=5x(AEn>U#<1(fM63 z#(N~T2NUiyL}yaUNCklw5}E62)E3(E#)sE~QFYSjt0(zflFfIyGs1mk!PN-JDY4~= zCO1D>D-K&9HH$!JvEb%lt=+|^QMs3%XmZu`Sf15%BbN`{Y~5^5%598yX>W-IcD=4C z)}(%9+laPXn{qwTn(=jO8i1d&Q5w2w>y{mCMSiuN*aW2GCe|+5cLp zB_Y{9NJ%Z4QhYJH#nl)8k98zUCp3r zjBM*K7L8{7Y&7V|K7B^wlV;VxI%kZvO7gB;!bUEUY)V`3Ox@@@)9i;kbS7_#Z$VPj zUF*V6J5n5dlD}*XE6qjH@_dc!tSQq-I79ZwjLjZx7ozvyj z-tGoQ$RlsMo2Oc}s6eW78aE_&ot*oWKH-h1E5S z9~_>-3E)a~8dhwv#x6epWNKp{d!M^}DCeNVz{SIg(s^zNoCP$<9H&luY|hx8DK1yq zv-kS)FYM{6Zhl*YEVzF8&($8L1izS~N52+J)vneDK(Bb zJ12%yBJz?wHhjfXO(Zi+w20AlhIR|!TJvl7yrPKN>h;U!to+g z+t!!2pUQ9T0%&Ki8qFoAX#Dy!d%pJO%c|>AA0upA&hh70SO*07BF#0aaZnZ%ACk;9 z54zI{ZZ_gi>3k z)iw-j>mBxe$$xS;@%)0e3M#fz|KgupHsE$n6614|Y38o$-1gJtl=-_?h&azE7S=aq z@Vn`MM=VskcW(DJrf|4_x&biIxz16_+0~dOm#HbRB9`l;3mrb?tLBtf<&H(sJ}WQE z_D4T)+3$W?!C6CjPSiM9Y?1k0wh3>9>Cd@1U9}?(#g`ZSp6UX8o#hH7Xc^3laM+5h~E$Y_afG}j7pjvt0iqp;^Ubk z^aJj>88&Sn%o=9XH=A|K7VRf!?h(2)j>rExp}8|UfRTJUYa|2N`$R3x_-zG6^}g2= zDvU)B$&EyfqO}ZssE+9vxfGlDny$YQkI!ts&8(7Kqf(Vk*(CwnR;t5W^`}n}4JN@# zn&qg}vS{CCQ}sPC4s(K4lpjZ5!)8Ngl|#%RP zvGO|n_1mvMD5mN>N0-{>?RET%v)El#+8|w*87t|JXM^@Z44O=69dafY0BnbiEBon~7!)qnl2n%aJ#m zs+La^>LSX%$CUMQda5tQH{g{e?D~!OAJJ$Mf}>$iYO74v(nbcqggN+F(@#~El}2FV zphklR13#hb%mjRdR9*@D1YdJ@?4FekqgG7qOmoeZquDJR)+$W*(B+1%WA06m{~TSu z#I>9`q3xHs`*Lvm6P8W$xDItWjJ$q*siGV9EEi-qRLt0f9TYAzAh_zFf18EXjcrfA zr?O1AtWMwMsKs4Xev%%)T#qH>(hB?Cap57X4B$?WOnM6H%#CV;r}qjjcDJQkbNfZ{ z@)Un1`74H*gBk;6nIh}IyIUKz>k#L3ah?YJq&xHEb;!0~cZDUovq~e(8-s~>LNP)1 z%=x;G^}oH%nrV`dG z^t3#vdVMx69B08dAY^~+F220JsymI?Ojdvzr?lFosTDQlA&Z!P%x<<$-Gt+Io+3@s zZL-a!Q;~b@FJleQ2Ua^jFkr>wK#TCB5zP7yqLU>C))k9jJX}4tw-$WS$}TUU{UwI~ z!QY>S%;Y^}$gRaI`PNB~goN;-R-UhI?rkrhu3|_N&%^b$rrM}=Kdugl8!=N2aNyqEw8nkdqZ{pcdLCZ< zhy;FIaCxjIE?U!+B!3*a(19cHkMu+iS8l;m>SQ46L6h*RG@E}Ivi-H2olQw9hP}SA z)2vn{bK)bXKSiii*!Er|&V*YsJuy9{C&n61I4GZPdc`$Ce~zt_3nSe6bI^VR zZQ!2>$e?r6IA7#ovg}T?-Sq7&9CQ)y>t4I!0?W0^*RZdTZS-KLqdklYuY%N?T^q0! zVD2q%Yg*vtZbf=4k*@}z*1;KvaC_C$qmj*(0yR*#2*#)b}? z`dfYdCxzPNn9QsA^>wFYM-ybMCR&_wTEaon434FBhs%#gb6FoZA*S34y*s~N&IsI7 z>e%F;00+`><)WXT-h8OHQ3yV9weEIIpZeXo_$S)G?;x>1vdUd}5~%=S?mB5->fFSL zlwfSv=Bioe>(I_-f$smTG?I@Ek~^r4_i3B!-8TWDmBN=&?Yct?Q}w8A#hkfsXE|1n zU_r_}YG-WOF13q1%&kA9I)`U$ijpUy(VwjLos+w7i;7vNo!6sj@<~~g-!vu6afmP^ zj=Bf;3F=SZLH4! zd8}%@`8h~4TT4pkzl@|?Gwo;3eEg{d&6?!ICh1L}2+}%r8I?5hyVYRm7 zz`7(&F+V!Hg?R4Y)ZV?P;ateJ#qH3*qt@16P;u#T)s2Yg)29;-kePDCW@&4YG(I`Oo;NHAu+%{HKpx z_X-q{<;s()U;XDpf>UaV>7K3q`t)IxuI|DI7)YjHhPU3$Jc*G?Sb0uK$I3|$VrW$gJnFn!E4@;AEgO2W5=tArQ-!0E0eYup^iaoT*WhIgmw1&&RfqDd;IcUE2Gzluj$3xxC@ywHAO_|KlsBYOW{Ul}{Lky*z5 z#w+v(&K5TOK$>$;T3YqZc^q|8b-Q<>Q|r;Z)zC%%d&C`PYiHpR(p@52^!Az4YMV~n z=s{fQe4gnA@_4Oo@6{Ei3hRX^c;_O$6PJ-l$esHV(L7 z@%^Q4a8xW}1aM_fed&IRtFnzPs|sqEDUQ1*S^i^o7P)a#I82uXE3Tz<{yai|L_W#j z(|5&~;9T_Y8XlZW!d}@fb=N*VY@#$*#T%uxT3^NU{Ni|922AZO$;1wMtp`0{>cefo zd>kdja=@l>KgqeEoJ# zlV+QLt=6K_MY$r4szlsCWtjiNUmvS{RWz7lOIY=;9{&h_wppf~vFD*k@;G_ZfIwa- z*~5p`5Y_+|mU595z30lPvM?{|Ekn9b#dvEexH1F(0a$&$7l{y9B7y-qeb2FrgVA+K$pdBl z_27Emv-a?A*!pdT5NuN^BKE&5v#fGV`va_Umi7X8>mzQVKesM!RKi)hbMB2Al=sEx zhC@X738u1I8gAQIa^KRSWF!6RLH?}02bEwhY^QnI{HeLZ)18V5`@wSwIF!Dffy&Lf zACz|tNO*ioyI*G?%aK@|Mmnq69PoXi=I8p&+}ppH(Lb{``HXP6pLJV9m^<@q@5~ORyyBDz*_VD3L3p~|>4;IPj1-Vrw5D&0)!eXq z54(30LhVz5=M&m&e9HVu;h9A_aVJO`FL*6nzrhPsUZFEf z2}*NJaz!hrogTva^6;fS;}almMFe#1IZ{IeGo_Li)B9@7{D1rvYQJ6_ZTm&-rLdbbtl=kB`_syw!qlwh+bCE-%Mq;tbE3I@x|b=`3`Dpu^STf0lfm5^INgUIT#Z||8^ zzW17EQiWK3Z_;4OY}wu3oQc_PN~zFY;P^UnqGT2MCGiPhUxNl0YTzK!q3AJZOE(R5 zDB$$z-S-`pN!A0PY%VjwQwvw;l7W$UZc_ZiYY^SMgw$x8lgeCjG2f$G_~AnOy1(9i zgXVZC7Y=xR{pa{@8U!foZT2mppE1`rhqk2K?*Df{r|x|3uMqwGOE4|?_``e2$is=E zl<21YF~6#>C#9a_=gwk{PU4ONDJ=Lhvt0U&7@M%gLh9KjMW*<9!^7o{gWpdA^|!0d zZES9RnQN^DxGq&{ZH}ydVnhdA@?RHKp3ZCCu#2Bf95~FXRKZ*!j7%8-~XJ|x#`F{GD~st@ah2u zmOg9Td~;1u-nHUrC-F3ltk#zIhB2X;`oUb7!~XGo9%_o;tj14uu?#=R`&g^NC|6}q z*+O80?nAK&F0&~g1SmV{Q--vtizm;5KBj-PnC-a0c1XFc(NU<4wU;_;BwxAU4-q+6 z4mcS79Aw~tmGSz8g;*0(LeD9^)9TsrTF1UFS73Hz1 zs2pIn9yXu!?<=zuOmzQ)ckmZ{Si}|Q10ndVgH zEVO~2Q}t$a(Y?0O1G^;;L4oiYIoDTb-%bfBBf?hnyJ~JTk0ao(c4&`G&~*8T zpOov_;6N-OPjz}*?ryr>Bm&)|Jg+TYTg77#uJKS`XRgm}wlS6~jqQ7jqFi3)?iUgF zme)=5(`O>iBrsMLea$S&x> z@KnrzuhGTZe4j7~?+vYhfZsn0_Bo8hp<*|d|B-bP{CiS}Zh3uR-1(PiGx7dyK}dEM z<|gE`+w}MwYJx`oreUIc*b$o$S0rWPmI+y(5w#{oLyl9&K0*w6w@hC(w8Q1bTymOs zwFWB&Js?s|-!CH$>=cKVCavVov#o+77ehxyVfVOFeV~VV-p_ETsrcv?7x<6hf_*i5 zgu3VyVHJYe_Q?&gXK+egEs1o*GrZGIG)r zaH8k>U^&z_ZjM4fU&_m-d9M2eRD6#{M_bKmN#~!HDHHfD z@QLr>0bltG6Ll*YvUg<0Ov?}kq1GHgV(LA8kKYJ7>sjd)hd`S(1fs|yZemOAoj;S* zA79eoE7oN$)iDt0;nh4r)ov!o_c5CoAdUdwf~uVG8r4-XCVYu(ZhgQmelU~&5pe>> zB$su8GB5vIO=9+l+V{isNzqYaYUJ!XS*%Gng$-O8{_Jeh?nw$Ow#Usp?r*X|wYE0$ zwL~0zeMJ<8E}9KHi9EFCh~t|Xbi`QZT<|*}zym6NAD`ml({?#5W?a|kjD15Zxfv^W z`I#oR)h)eeToaQZVfVKQ=M+f8bz$7i%Ch{+1xuI_8Cv`_ zW)Y625#^(0DaGi)(E|2P%`I&zAyu$yoLGFw*Kv0NmW11N_$r^WG)lgi=gbxPUkcBA z_5cg6t$P&?UbcW7pT65omiX&sEyzS3qf>i`6j6r$vh*Rpx7eeed$?hlD zlR-VB0uK4;ko?Hb<$8NtyM^P*@SkMt=>{AU0jLJjowt#jK{t9lid)4##+B7SPYK?^ z*aSw!>Fn`SY+v<@GgL{pq%ac0G zqUdk5?B6CvGqM&coz+~wixhbFbq|ceDhZFhc{~oME(Zkkp(ojNWp_2*m{W(o+EOX6 zg{kx4i%k@R>8jOX`^7gGx{@N!WfMv^mJzrXQ(Tw-6F;P2DDvK=iKO`rZj6RNVFGx1 z3U()PTEmIJq&6X>zcLk2!y*-|M?Jas`8ZB#1-DN#c;kF4IEOksEN0jKcBgtFl25as z8Qo}Ky^ycJrEy{VCccOKht%uGYv+Yb%I_FlR2Rfu)ki(X_$=?K(+f!vv#5q!?&dfc zfctsghA?DiD0`v}%DttRQi--6A68dO%=BQi&a1iZP?q1XVlM-aX zpx`nV3V4F1-hm;wT%v_Bz3}xnZFom!j`=7`_-u7q@`oM9S8Hg1#Lxu625w__K}TCP zTKIdNe~3s`(D|kk_4wdS^mL4Gg8p0xIr5b?D1-R+^hympzQNmLeYi1CG@LO^90LeF zSy~*Jsi~q@#Mdgqoz8~uJ(v?anaquw&5$+0){jQE9v8PB%z!FN>IvqgsTE!M0Yy#! zE$gvd0IHe#08I_+%pVMMZts0ic;}EjKXF1nh5Eq8zTbMh3TehU zf2m-}2G1yWm2QL~Wvrh;BoTUZpm>!1bl(i?5Q$G_tfJ7~&yj#Xdm4?#zXa)Vp120x zA)Qy}G9Fm5&%(>^6r){SuD%23?sZY$%zb4= z>i5T08dTP3Zn`YA;n;te&8Nn-1bCO%f|rGpjB`MJx}Jbv?*GVo^Khu&?|&STknGAH zS+Wc%ge;LI`_9}giMx_?xz>vdw_X{T3H zl|2?lJAv$#mnqx{lQ8zit$W1tFIhTUyh#6SSq!`i%lkN;MI?}cYJF-{+By3E1T@q< z7<`!kjD`lFF5nz?*&HeoKNw6?GMUk~I#QS2cLbe&1HQ3gz-YYfnMZaA(Rh+f487EP zER*EY^-m1Agd&M}i>bS&pX++NO?ev%%?wC8-}*coqI=n>qT*xn8qnpBdb4CXB?{il zHfo%O#1a#~gRPHUoh9*HlJ9N?Y=aAQQMpVmLAw##chTJ*BDgTx5E=o;b^}^;X0j{I zBBwX(=%a4&6sst-p#o5+^skHxga<~2wm517k?YwPj_IcIsJ@tsCPSPvN7~mM4w)>2 z$c;1Nb!Zz+mv)9Pj4M-ORwWg=CvFb$4FIU?=AD&q#lH6U(%1py;QQ?^cZ6Ub?0=9$ z)E~dH-Fkqe19$~$QrP%doBP^kiGchzHrDaXF`-cXF3)IaMt)v?XoRx`@IqCe{bg+G zy+R*Bj{W?K!?DHn{!a4ghjb(XpXu%>1TGv()yq(MxWUw6OIFUl?dtIxLz!wj15WSZ zf16^x z_Ugk_bl+;5g&_{B;mii7b-}Ge$X9g$W@O)!F81Cepua)s2HJ`3`;hsq5JRgM) zJiwbJTNUeg=`=mp-h65b{XMV=z*Q~4UrdCdCwficKiF9NN2q48w_Wq)b49L?%$yg~ z9TTDQUc-;=MrN8`?KqiPu-iZyc08jcORg?_F9To9Gk@$ z2=B{c{Nfjp7h)PtDeni5K#4N!e-K zuZOh{mhOxazq+ml{7(1NkuO`#e6HHuv>N=q@$>ThlxxTE(ee0VX|G8Vf*Y7r65Kww zkJ4$oqM2f<1*LI8TGUOUli~g{=IwyT&?K!{%+63B{W*rtr zfmKy0WP`1N=V z^@p%4Gjv+Vo|ImbnM(twTjNzG*e&mqaKiI7@9{;%if}@Gs=nI`7%Ona3dYq37FSc} zYN@XRb5eyJ`-$00vf7_VH(*#s)28)KvmB5Qh!=0rJz0?cYX*`_DEf~;K=7G`XrZaH zSQ%}nX2*ZCoogVb!uX~_kdLHChu^K#^%D-B(rx=V3dIqURsqU~(WrN0PEeu`Z9^0| z4j`}IGW%9^kJ#s!0+c`Qb{o_#lGe*`ZWP?uw!dgm3-H$D+o zFSo}4vl6csyCD`)AbKD`;a_4cXHf6cZSGbup5iN>4~@&!z9Gs2p86!hqKBSIz3F*( zqhVUe^X?`TH@}sN!v|=8ndV|lL)ltY%$2*kp1H3oS4|gqA3i1=xYuim;_d=* z7Id$t6FgT_F)!F|Lwa4lpvMyK05eI4&%F*-wn}!%OCBG_`-u%-i!VEej=37n&+YuU zz>;zRnn&L$bCE#<7m=MmBK##y9Wsa^HQ$I5<`JO}X(;WqL4> zTCj$$dg6Ega9h|dBB|c90`)p;anl~lk~sC-UVKBwX$`Mn-p|a~ZQ1mib{K8siml~f z^nSYaA_*1yB|0l%uJ!#UEs2xG7M^+{2}o0VmfEK!tXi%=uyJ~$p@$b;>-R!jo1a%m z*`{CDyIPs@>kz>oJg4o-+@V^qBA%h)3xm4JJ}!$NJ$pp-A6c8Qj<8>(K)_=O-gUh; zHTsz#Yl%S%4>4La=L>V|kauvqLK!*CQKs3=;&TIv^ckzX2X>khFuKM*t@>RY;7`A+ z>Sg)Q?~8GA)su*>tOaGPDB0=$7Y06OSYaj&`p20RB6!pl1$dG?L;=0s)!Lp85l4f_ zwDkSS3%PPr`O5V{@)C!W%Xb)p6t>)tQk|Dv@Z2q+!xvkN=e|i&R$4~)7dwoHn$wP_ z>X;pyUa4gnT7`IsWo~1`ZBYR=&uQn@8|r*lbv!WIN7IQclsvviipvAS%|7pa`~_#~ zPja2KKJFpJKSG_Fp;iM1dP&A6MOZaq7V9ZNtBo`nj{Qkhg!D|^FRdN}D`)ggl}s^k zMT~L6BMGz>pV1vwZKCTg+|H&Io28(+rkgF`FZd;Wda(pEu~1SS-JfgYKxXkqs#Mj<#y*P^J3CJcQ0#BAE#s7k9%#xvEt zD*!}qGFF2$bpjDgcvEFb^pD{kDVK8{KcybZxSTbe^@|FEI>?@ZHrwG$;^06}h z8q@_1c?JjZHXhzz9en|>9^avz#tKWn(AFz-lMRWLde`)@z|`4=4%yDFY#U$VmY69f zt)ZJ-<=Cs$MtT80b=S7YbAojg?PR+;al{nsd0PMW=}x(BVz_>>nzCpuyOOXk`$-}8 z%d4|gS$s!Qe5Hs}Ry**gO|V+>EJcaSO{-)RR1`G7Y5e%B;f5U6*YzW=(RJGW>w*~G zy(Y#IQ+E>)8&?CX$bgC7&A4bOa?@lBo#rGD^L@MAs+%8&!-m&M7?ti8<1tg*Gb!@ycOZ(BB=hPAK03o)gS%LVBzvPwyO$wjD7eG)I*Lrov_&m8~ z^nKM?74OE$LgLf{Wp^&_zaNU$dG57rxU#i%5>82<8|k6El+g8;kQtY z!xN4&8Nb>S(PHZ0)r8vc+1|(2{2zmn366&6UKCDYTWnMIeL!is+|Tl3I?Z%yh}&x0 zQ!ODh{Ez7~_`;2q@7j6|#yW>+aCMnq4Yc0*`!^RW4>M(PyEXmH3caFo>EJl*H94(z zb{X@6V**Uvw!q~f;;irGuN8sz%{-Sui;h&qyjfvNr9+i6V!*UAFeik6HSJ7@QkfXx zbJH-7*tzyP_0O_x%^}{tzu;9wnm1@ZRVfFrg$bX9o3DdGUyPaRIE`SLeSrU!5pdtO zni-A39h8GCOC80~Ha~_wS-l+}tk(T8vRi)*)66q|YI-~_*F9S7$o3MPeE^j6YqH*N z07H8n92-zJPGxk>jb1G@Kzi`^0sd~d-}^)k0SK?u)slAs)D9$n&*Z$9v&marvedKG z?#LIOaN2w2F$Q?tzzro%lIWaQB~H6V@YQc=7i5Ev^CO)^hX4QyvZuk&UD^k+l^n~* zAtj6`k5I!`1O9zA`(5#q{I&i^ac&R`k?Tk@$}*X&8mkW#6`N zGkBK|Vgm2B#2SYfBJ1#T+8296ubXg~r#;EW^Emu-Ni)`N&NJ ze;3fXxhwq_5bNAfUl$fqFnUX~+ChX7eXA3nMet!3CFQ2e1l)Su>0x<603OXtAi z=u;Y>z330;r7XWlctH!mdd?DSdHXolG~@P$GXNm{dYO_uja>m`VZb#K#?>2tSSK?A z4flhCK+ly7vO1R-ZRI3DPx5@mrMJ~q(?vZkKUQd2fs0^sV=!i$Cd(|qPY7M>D3EF_ zzZW!=uxeiI1b5jQx?MUbbi2)n<*@zpgVaB(bm%AA-f9+eQKDWW(0c?tlNVp7_UVbt zFbU%GtW~6cBW@VEnR3H^UR2XB+Y~zrd9EQLWA! zv9mYiJB>BMl{Ev;maGG3e_t<#l=*fQ)z0X|#XASI1b*6i5T)Mc&MvOrsF1Ps0(iwj z(G@s_*}46mBvm$ZDZnXI-5gCyW;Nl9iO#MK0@Z#4(9F%EVudpJL7f1_iWszXmBxdq za{Z%O#pK9nyXM=sPY%5-!CMi|!z+QV-sv|Qebg+5#wtVgnyGan3Cl@)7m(A+611p9 zY}oxoT*TKkUb)fl4wf_P_P1Mo^;~72KXiQy2ZYPOM@r_UVpVDMnQ3dW;OnvvdU{MI zDOtX6mX#QE?uCndu94u-dINv~5k!+684~Cpc)c+_5N6#&IKLACct}}4yzN6hVMv+7 zMf5CbU!5^sHGA;cGuum+&^PaD@j$fCdoHz#2hyfkXW2~&KIbig!cK3e=Vc#iTrL@L z_ofRb6?Kw)U&~6`?7*KHY>=>1XCpY^;0L4;){F+~7MnUW^|N*MS>LcC4lS5;QR!JN zy&z+qt?~D=Cf0FPpWje1&Q>*q&g|2?XCeU8*?MfnQ__4xU6^eTIqWvjG4)1qSk)n z$CE4*zeE7Sx_LUw&D!eOjLOVt)cn>cY|y>hF->N<{2YzcM7a$>t;~Ppy~pZ=4g4?C zLb-F+bZq?0rfi5xpZfY4AkfbiDz7YDI3TkQbg0dpODGQv-Kk9?_Atgh65eCcAx?`j zW>@4BPKfX#lyW{j60*eYo2?S{-eTD$?Pk2(VpY)+91>vAAgp3yzcy3sC%2<3Q#Gs0J^WCu9uQvRPIRH(m_3w*iRgRCHhgD%d*^C9+s_Y~jU7ms-G z<)}iSkY6b^R=E>L9d)HjWV%k&%Q$Xt-X5rC9|k+#1;Vg)x4}mdsnxC0K^6Uv({8uI z)|c7|4p~uXkNX!G;!oWzyXmfo1o@fKgZ9{5Jn~?L;p|W6!R+lfm7F?XW}W@ueB7FT z@GkC^Um}lY^<9_WRI&<8!dSD>;5EJXqG+KnUtz-tNsqU68w@wnGFxxXAm%y#_zAag zVCb6l+o=WHMbb!gK+2_L$hE*=D%55*CHUZw3j&uplmP67K3q)2?L;g+`!esWpJ4!> z`c681T5->{Ugr&5ue*ku15I8Ox6~|{o1CjT?30^~NUiccAB-Om-AnpidZ#-`VS!6EE7Nv5sT`^N3jsC>B0qhB33Qn=I+?lCJ;d z_LI-kwH3%AW?-zG3cA7mr62&$KG+Wpw*XeIVVRQY0lj^Ud}obbhYt-3yAv(aSx&eE z?1KyYBzWEi5}igBD0eg&P#1Z(v<35f!H04f9!5eyg z4KNGu{yA;*5MD>Uftok{kd2RkWZe86lY&C|Uiji>%R?nQ)o7N-U#axVi<$0bnhW z-vBsDXx|Wh;G~pnhK`T`kh;plLf{S}2=VKU&Ki*N^M5sH}9`420*jedz5Rw!u0-p!@9yB*F9gWo6iw4(vqIe^dq@(nWo>08U)^YFagXu zph_*ee%!q2ZkbiWbV*KA<*5qLg~6#aFINkCVGfB`<}}ITG%_cD4L;Rv+F`YIJvLLf zcwB=95+ONik!Gu-wuxWmp97iDzucaE(X1)hFLYtIHESioUkQoy&(Mr?u@3*evcF6@ zONPAIQBMI*2*GDkXpA!a9bKakwt?C4@d-Va^)yubAj{p(A+gL{BlJl(%k(a#Y+D5+_j8n?M0C1|( zi*IIG={6|HYb&GQdepE%!B}J9o}vFy-d_r7f|Ai)f7*yGSfr$~6S8lLv4E?5T@_nh zQKNZ@owq*A${bzdbZ*l9T)t#dt>7r?Wm36*+=U;F!V!!2^XhrV!~NAPTr<4XEMDuo zV}{Fq7msZgTD@EZH5=zAvfAp|e`mKP;6b0P+9VL}ij4KY%2mn1Kr(o}^C6H?B#bDoAhwfNLWW~K*@Ri*UE_Sh8g5-PJQ`9cA{?s{RNjvX@ z<#S^+H%c}^F&7Hlp8%AdfFPmA4p8r|wzK-%H5zpIBvg5fz2h`Wwpv@y+Cxn93$lc! z*PPbI#b6^OXlra7k*Xa|$T-IMKP)y=2QI5pw|I1D0s&v%(wq#02k@W6_IcUPJ{2csYK zBgao9CrCtpQbm&>;uJfBH4+0WMS5ElL`6fw#0NFreod^1!*epgScd9zrySUx-BGH9qIO{tW~Y$nURc&E=RG_mD%G#pM5Ng z4JAGU#Qp5R^KSPi@T=B`)RlVxpAqIh>*aP<7B;okdWP##d&FTduI#CghZ>Tj(9_r~d%WL0?*RG%b&qsZ*gm#;U#nCB>5u)F?ON7a-G# z1nky#r!(#}hxK2Oac){`KzGVxN^0H`!A=ey?%%E)#*A!M^}i#PG>%vh0|Jy|A?t#F zP411^ij}uVN2d0HiNfINpgv}RgEJ%@++&1P@XQN{O&Gjpd=#v3VE8|{^fh~Io+mvH z=*S?#G%Nzu%u*&OHFbaq7NCnXk3<=YZDYEU@%1h{iC5#v?=a&FQ#|<|F`8G8-44qK zAch;b_P5?gV`Vk)J)MYEeLS9XofRV2Ya#OMtKe-eMSJ#(Wv;q82gTYYio)!KgSGiG zErnU2C}0G;@!6Our|xEVyKa84&FnSN$m^n}-mt3PfFLeAN6{4liZ%+1A)UMO22DPe zR$rStu;KV-W!sqyu0U?s{>&Ba8NFk)ux16$BaKy5W~u;jh$#B8E?^un9a;w9FHkeP zq>8oOvu9sk*DT;QF=l>dKgj<7;kF*g-=1FtPwzzMlEOTXp#Nv*k`lm+F3#GeGtJtk z4u&ab>@x{H+-rr7x)IDlLnhU^@=0%tA=_ubus%a0-Qk^9<5@tZ0A!*FvL4eIiy}>|yDH z;cK^MaoC^+63WnMVQ|K1S{FN{M><4n=XTYv_S}~?@g|{W;O6xYH`+&wZwut4i(Btc zFMI$v3Qlamn38L)ch$ZH%Zt({4~c;+E@kf?61fQ>IZk5I1T6}_AxW6$d)0~S?vWY7 zmfQ}oycg!zUqFqXEO!al@5ubn2Cl=+^D%3#`{3UJ6gNsYhR=%{FhqkJQ(~sL9U?}? z%1`<~ImTE4;!#-hKp(3Yra7}iq+!IY2S_M>F+iqZJgqbB=S~6Gxma2hH<}V0v3D6| zMeLF89EI_ml!Tp|dwkgv_}GXUCBdsDxus4YgV^qtXGmGs=sV&zutPiqLNTn;)ZPi$ z&e5Fqch5C6>F#b_fM^0eh4hFQt390xjV2rgwh-i(S}wI+Ox$IJcqSeTicRPPO&h*J zc6a`(7vk%E>k<3)ljbY<6d)U8CQjexD+52iGjf(h%k zl`2;HzBOys&9_TlRuaHqx{+B6`|pNyF3nx4P;e6UY=-WpMh$(0hV^T(*pwYqz}(l} zW|M|YfDDJG+-1oTxA}G7q1FWtUo9YyO|<8weFTC5Xvp~Sg08h6%RPO^;CiU!pnV!a znj1+EEYRiuB*Wi;1p>_feFBIjK#l`|tW8!3(Ml6mQE9$#e#zg6G%@c!~i((B1s zrM`{a)xA1i^xK7cviP@;rp>?!gMiZF<8A9NKw%UMN~p@dfdoV-M+zDGtnq+8ae&zT z6+(^caf)@IMF|3~j7B)b-`>FZg=Kt#X|MsM z@T9#vI5U{O@=HA7r`UM$9qG(kU2ARwJrB3`(CB)p%*-!^J>dO*u-khn7T>aKn4sIR zI4E}4H7&%n&)L56Ye>4;cV;y?3afTiP{XR(1w|O`-dkjAjQO;CZLj$np?qRP>BoRT zqx>_QkokY=r>OuT-XsQUgrMu`3LlB32b=uV-k`cug!?7DGyZjCv_3@iJ@$|K6fnh} z`l_uN62N^x5+&3O_^HE>lpE)91Nph5fdcGysFFm2AC@P@oduDD>z66>&=ShO1UlEw zngZITtdH920Mbx?OKW84odI{){pKxQixv{MuolmmE9i@ z=6=PGtd4LLuKLJ%%R;(rDr`n6aC>^#)O$1!XT4WCwF~2e6dtRO54Tm zFbK4%z4I>~Evx#pIuVDS?2{yxhwQL{xQ)kiw$dQsxk$Z_uY zwUpPq+8R*A@)sJ!3Cc(Vb(yR$g@STr*K|N7kF(yQ=UJULFPe9p zD&|LKo|&er>0-S_Vj=IAIUmc(76{vCMLz|NT3gyT1QSI> zeBVEFp{w-3NN=X$@PRsrmmAzBm3456lEI1n*$G@2*msG)?9TIdd+UbQKh=omsqo{N z#L9uNNWv7I&4vFV3|23muZuq!@@LW%nV2+j;6~?Bi*=+~4>v?{@vpB8wbb7WRi{A( z5YBYh^m7Y)LfoP<<>#?-r9*n4&YIk@#G5I=7{$o%LKb@cHBZvs6W`nT*JfpYxEDuv z!__G3xIW}#AIjzq+|&NYPHW76wT7i9f-Y8d-hYCv0o^l3EV8M?QrZ;|ZgaK((~z<- za*sxyLXt2`;5qFzlWC2a+_cxrfFL{rL4x4Z>$38=MS=g8V*4W}%EccT_(J6Q!<+>_ zo8kn?7&E+%lat?&F94;Kz}P)3R&qv35V?w-apBu^qkHhP)Os%^@r}Z{H2Dj!wFiyT z&{X<_4M`Yv0^s*>y^Rb`v*2Pwy-8zC3G|{R0NqWBOuu2rBn3n_d|cnbRc{{1BJvd9 z`RIP#8CacwYS^wxW|JXCW6j;DRPeiQ`B3P-71mjFWpY4iwtOr%okNHEsn*`5O4FA( zXQL`j{GuIBzgJ^n$JM7d9&uO1&BC$2vl787wCUkieVDb zqd=?ktiVvHGcKr0y3_5zAesa(M90 zC1Ul`rB3(P=qUk!26}-0ZKt+!wLMp0f~Jl{i$c>aGfjr*wsFPN(WGVC3)p{y_Q9rB zZ6_hFX9HVBGeT#n8XH!97S&EVPGX+7amXH^xYaGm<~|Ngjv3!^g^yLQtH5MQCdj0vd38a;lK@pQ^AgeHt`jZFl3#XU|9C;HOj=OiE%dID8(ku_GKWL^AL6!M zo6W}T*Li)Uk`!hYZb$+4-#TD~D0Xs>aY60iQdY*x_QGj!D_ZcB=Pv}tP z(2L-E$6@8bg+6haRs+T$rt%>Ze{Mu_GGJx;evQXg&Y1+O$3}_jxG5nEE^$UV_Zq!Q zk(3=YS53Q2Ws+@^eKEHk4-c?9z=#2xs@TE*IYC%+4qcE4(8^^mAHiAEcdp4lR}iN9 z34(rc3^V~00n@txv!|DL87`Jpj9`_PW!lRhGQg;>_}fpM(mLctosTY?ok+8FOgUY( zKz{|6XG3OdV&RIkONnR2-69x}I4!sUakzMTtLOn*vuI4T1Iq1nrqVnfuFf8Szd8Oo zVZ2z;RT7upRPRE)A~psy0Emtp87>{YZ6g&}CinQGMLW>Vkpd)FzqkV|Qy#t`=IIEd zF5*mqDPnyL8KBX-9f2oS8wXPtLcctM{Q-BX+iv+dsQvUQdF@ z@HG7e(ei&6?QUlIEA|#G*;{+o!Rn@)fr@m&`UA?kr9`TH4YaEuF)Hq zF44;wT|ff3`~#d%ShENoV}+ZT?dLXJJ-vsonphCQZv~Q@uX%H&K&=FgdLSZo#t!d- zL5cn5Rvyw`E~|c`gd_ZUG;k4VG-j%FyTT#h8C(a;uTV-3BIG8w<;@4-OAN#Iqi+NC zbr$i?qx`?L&{v>M5p;e^r2n8noyHitwTs{+JSEuk><2r<75FF6gmb9E0wDyWr8>(c z9i!Cr>_3DhlvmNR(7TZWkuoIG>|7mPYKYAnAAcQSYJ(mP=4uk2m#!2khj>G)JRd0a z+8ERy;zFPG+~^#&jC%HtIQK;je<*KD@nWied1ahPr>NuOxw5Z|ugY;IDi+@HNcyz> zf5pfykWbOWvx}P_YkSYTk0`ln&IkHU*C8&Hm_)V5+B{*{5NtX!z1@ol&CJ zkUMTx;M~=Sc~d2#{Sw^;fV>pi-A_P4No!ud{B-9inEDIr;r?&7Rn!ejn!I!N`L>%a zkp=MXi;sc)VjP%p*f9|qd4~tx^)k9kqx3Lm3vF^TraP06dfZ_>+37+2-ew$cB4e5vnu!+;? z^|O=2o$5XNWM1eXo!3)s^B8K>CW;aq2mm?F_Vx*Za~AZ^hkr7qKL>wNI*?ltr-0)% zenz4L#3_l+BQ>|nJXK+y{q2V7Y+h@Yo`5cTYPO)OS1PkBu4ACy94z#udZWCHI~6ayK%=oG-5Y zQ@H_3$OB(aIEnYd9>rVcZdtDs7uzl~|D*^TGn|#O(7E63lZLW67XP$6*1b7%{K?v^ z^iMgT8u&pK9&q3$DPNutA5Gp6JKzzQ^_r=A@rimc)fi&YWat|YFQnZ={Y_v9`CkFBy`YQSz;U@n#e!c6=d zB&W`$@~`Ff1nJWIx^03i*3#?qn)3d!Fo2#(`EwKjtr*_|@l>0Uj6mZMrlEejCv?>V zwvq5Qr8WSBKPAP5{RQFxdyhDD0@g*Z1E?>aKBYsQ4uk$7zSbDebKuaa_LJ`kRNyst zcsn7~%)21-+s{j=V4fDfFoVbE%hVN|z>wjRLV?4Zu_Sp&(94-RXW772*-glM%uYig zuKF@7ZzWdrDvvh?Vm~=FX=u-*i*0fwM256$!@0^Jz`WT{O~AEi=MON|>}#l_?AY~e zw(5X@`_%)p3FQO8^hgZQ>U0;V@+Z1lKpmqpr!}gQs*<@Q}BYbs-TY+1kT8i7Ej5+ia8gM6FkifkTw?@)aUlF z4&CR+S8uQ89P@AH0udF1XoT9Jcgmo<&oYiC!QtM8sK z1zOxh&`b6k+hb@$?KTY-Js|pEm*n6PRi{~ly4GM9V%XY&dm7Rd;u2;<_yYt#=ydce z?cKSYBKMM;Y}0FD?{U9{EeV7z=dG)O(5gw155KjQi$?kQl_@x!p)>zaxo!lgsq9=v z6-1O!{0qU~30)>biiA^wg+e+u86ar84(oGK>ulOEphzQ8b$dw|{^HhLeRS*VnnJvX zDC&v#xYlt^WDf(g1wh7Pe(d%N@CLosovQ(#cb&{vWZhtmkGRL%`vqOwVcNRV>S8C$ zmI4gKS#>SZtH18fzQXu-an5_i3N=RXo-4P-F=2Z4JEDd`1sI`!i!Sl577U-CuqmM7 zw(=mLaV}q#61*(eWvtvPf|VnW!BzDN>)BljdFlUb@G?61ASrb&AV>5`an2p{?P0MSXBAjB*@tTf zcm&b6cFwj400X1V)^7n<_As~s!5eKIcC!%Bv3b+x!GZ{R$)-fQ zPJ)o+n!Ku#GQ}1e(KqnaqIgytKE%w1`)1xfRvNJ4(PguR)y*=tu z9D-U;JvICgxlaoJGfOos?TfLDuA>8$#g24%5@FvS5qE2M{WZ~~wEXA8E_;V>#p`}q z%HFjow~mBn1PSPp;@p6rI?BWfA7nDy-V>&{YQlf!k-C)o4J7B9C4hexxsw8iD{1gwM{L5veK=dbxhEzju<^D6HeIvxp2EK!2@%DQ zEW4kKH_~ZzU%M!*{PYP>1(ykW{Pk{8{Q6jB@s2Qt+SR7G=Qrg|LEl)@ja~nkq^g0C zm*|=6Mc?GxA|@{&T?g$)79`p{{|xb;rzO^}s+LzIo|A(Ua>$Ulap1Jt0`Ao7Hk? z{zRwWc+B#;uyN)`pse&w;}3?xhNZ^&naxFII>rWR+SAxn87+>$K!e5H+2IJK`KhTd z10I5|qv*$WRR`{O`vu=~P364b3dwt2a2m$m(;85o9Q;i?d(Grf`?a4y_YG^tc~jX3 z-`te-y;Nb)NCDY#G`X0Oaw#t)>{&HDvWF0zNroc`lHxV2Np-Mva}L@aHH@gn@MH>P z$^n=fT*#gJd{VnJn3D`pUqsraAlNS_BRKobY`534y~>&@%qGqxT!k{@=_LH))e!14 zbJL;5LrJ%91b|QMA6Vaku4n72&xEgrko6i)+3}ReS?QpKd9kL~G&cw=$cRql@-NjO2&#&q_4s*q(QH_+_24YP+72kJiwQFG1fdO!-&`> zt|rDois5&VGw75b*XT^eQw~dy)2%TBW->JCY*x4KWF$lfz8|eZl8aUH)CoZnf-aw% zi{#_m#bg8^zxCFm;2P9p^%+MdOH1)VU@BU4AQiYLXuO=lVwzEJP~_qdP47`&jx!AReD}ihU&#ybOXyJ~znmk| z_IuFN#TSnj8-~F)mz6@kw*9OVEv$Z=!?2-oxX>1%2$i)zG!C!;9o% z>Rr@&v1>kANv`>6^-8H+p@!iH*(&krQ6&g_;kgwHYLzr|fq}P~$ zD8yo)tcDD+pmZ_OW9L?C3jgh>efZm0hg7G}!ordooM$IQ1GZ6qasx8^lo7RwWksnG zKfH=0U~a(3aE(I3j$ItUdyGB7iVd-PU3x_H)I9e_h1ywE6Q3{ zkH@O@4&FQn7;=~hKU1Bj0c%EiGNQ6UkSV5`#vxSob=cbt(3J)iySKeXumAA&bN=0R z=O6T_$c9fN+n!gxz5j^m&62n{zw-&hw^5F)EbqPAh>(A1^F1%x;8*ZvQ8zSG26ODz z=Pmo+4-d=lF|tN<9XVGpRc>Q-voUWJSIJnJntw-R?wZ=oKjaa&QTgOY4OT8CM@l9I zQiDyfWH^%yJR_>Uby66zVN3(A%64EyCAR;cJnZezLxrKu}<06Qry!KO4XpU@^%1B57cQ2W66(uk~7h zFM)mjTCisj2&=0WGGw@UT{4`q$6w=z51g*50LI7CH8(^qTZ?v_ZdVU_a6Tp>X$4m< zs9~Y#8XK1BCq;daEGtFagvupvRl1k5*Wo`#kBp>f zWk^hz$h`8nXUy`#R=!a26^5(GdzTfDZ%Se09=7a!qnR}0N}M>O)Cu2za;Ob*;2L-{ zZgVA+_sF?2OM&uuA4kQL8%pJVUs+^WYcyMEp7?s>5;)>E4fx#bW2R)dZzU3UXu#nj zr0zLSN%4ML45;R`U^rvd7j)E5a#8i%+p%Wa3u$Vj5kt`B8~6AD&FteeD!f!$q<>~|r5HJq`yp6J3?dwr={f~C$E%s-NF6_#e=SYmx#^Mn%o2&`vYG>}y@F5DHEFsR0ve>mP(aVt!%9O@2YA=D#XB z&BK*LiRlm1d@_7vX_Uf}qZa5^gE!Y{W279FekFht=FEPrNi!&+}^Eb5uyGk6FFZYQkv%!p(Ar6b=#BN+p#~G zv|1Ka^oneQ#3d7FF1>7Aq1}OYeQU!@XHd}n%KPG9n{O9#HYCfrl+KLo?7twjQdZOc z;?>!T(Q7hXgBvNnTA$QCl#U!3d3Buz9MWpk>2uxQRnX3|$kq~WO*J*ZZ%#Z2<>e4~ z&zQ%VvbRZ5^RD~dGE$!xBhQAh>ejwR1>RQeO2xgWq9H|OG2&t`fpajr0ubT^e}3$W z2MA&dc#iPLzz9UX6X^4&B<6N=xQPfv$nwUP)boCzf~JF`cv@6f7GgI zyVp0**OrZAe=`7I%v4S5gz^!SCRydeUQ)c79o-%ZSZ#DG+?#IE2yU}CcQ1;0xIjj- z#~@shD*@*6LbCLmz3`@d^5c}2uW5}aP}u!CTDEB*ZEaBEtUx)&<@4(4GbSNf2W6l~ zrR*@Qxtb%z>o_c8b=S9G$uNQgK4eQSChcw0L6hPPmy<{MG|G8*OhEsz^O799oBME!(N2KmCz+%jc0>N;6>`=jFZ{KD-|zU)2cb)pj10XgT03c0;^5i?WF zf4JyKh4_Sy&M-MgSiC(KFLP8j|``oF~xwY#L=Uk*0BH{{X19jo~S5k zJf70BlRYSjixlsW7CAl-e8V`t@USr;PEfEG*a%b+4=_PHKsG|hT^6nazA zIbrY&M9sMfV}zC7yv%MeE}2z|7RhK9kzID;Rob*n*tm9X=D!c%{)I+nR_Vtt%8@#9 zr*gNF!D87t-+FK)Xaom*Ua=FfmlVsH%F0YwN+;Bfy>MYeJJg$yBNGbef6{huDvX;# z$9j|IgvpVlz*e`P$f7`Q@oX@o!be0QioUUyomRxql1Q|c0A%C01}R3Py~afDNlvhf zW^0X*ZGXT1)hvoaXMyE@wHoT(1EogO@b%-2z7C<6V(J5_W7Vm;{xJnZh60Y;tpcqA z+dtWuCHRqJ!nl`W5Q1*kT2rKdc|xR%o!w6t7tPLvBNaVTe6T1fp4Ia&rgQl(rZb`g z7KHoY8fm;kY}wSH00sVlQ6Lu4ncfZc&|Zi$6!4}fPi;KW)v{5NRl3mWG&$k?(q@_W z#2?F%xk9(!4P8c0o}$0IFwKwp_dr4(u#7+E{IGLjH%8W3v1bcBva<4E`yOoOWPag; z_ft`bWs&0sAqBRj(&Cdv=OI`?Z?vi5_|6zBOJ{mq#KwRd|N&0CXELm#fCMY8M$ z4+|ifuA0Zk zkrd;B2GAFC3wnD~PYhV`dy{_GHkDhI9)w648u`m{^=s3c5$*(56?;wSl{EZ3yH7_v zVz9k?V%cXl`+a-A~kK z82h11bnCmm`I8&%GP_{L6NKg^u-gEg*oRl^H?Skd^UE@GFEdsD-S&V4t&?o?5)Iq9 z&}6@f5b-o$FzEUf4EA_(Ts_dm*oZaf?oxOahgws}dP^pTzZ#ld-<~MrUWKq#`jpKF z@w`U3$d+(%kQw>W;6(irINFR1XOUzx;YsSA8x!g8-9Ul-#7c$}=Dq)&+-drOjiKh<~&X555?im%N4ZJ5|3Ca27L> z=Edm6j-Cj#hOze0P~mms!geo{(ts7As9=6bn|Is=QoMp5DWOX8%chJ;Km7hM=TL< zJ~S3b@%g4c@%6hoNNxFG{&2V`ko9fRYoT!6yP*dPInuwm-$n3zv>8X+F*KwS zmrr4Hr>`t2k@3BpcLQ7@Em70!**kHU9IR2=)-K>keh%e|b;6)3Jsx&`rDwT`M$s6~*0z6N3Bf=29 z31Nt*Ar*MW9!OpGgI`3t2;1ir=(HP;W;K$1HEwP0=KCld120R85W<*>q}=rX&ZCxN zxAwtZ*EmI>ELvANgFEZ?celfXi+!pvJ}2)~SaORlAI!$!rUg^YWcr^xU*R7cwZfYq z7;30s^6qfaySqcltNAbeRmosAoFG^}A4E9TA>#@4e~>AF?I!|d=}|}T$&n$Re~~GJ z3Gu@UHJJLu%HyT-ay{c!8k? zSN)s6k5Te!flI?v>ms~CE=;8x=HWC{$yl{HE(;w5lXIS0Eub%Ez-kGp{nzb+ViFkHU zZbB}0+HoGn zTnoigi}r=)j>_^~*=240`sQh4?%QU+;8&W4_!(`5HcPHF%`Jp1NJdw&Bt13~9p`tp z>;o5@im7)q_FHe+J}DQF(gJT~KiKxldm!nRqbKQ=t2I)UHwAy`zdm2GUmodFEe2gK z#mZQj%7~D`Qm^gbvnF-#LpvT8MFd30L<&sMSyBBH$pZuB=uzBXnNdqeABBViPsW(# zMgY(H$|ctv41TK2rboplJ?icDe$PC0UOb*UuG3#lK45m@Zq8zY&D9k& zDiwL$wWHD!JyF&CQzNtOF&B~k`wgXQzx#?v{l?y0UCmZGPzm)R)lW-|5TcYABg$VD zYJ;iBK)0cGElfqrKT5-D(ap)_PBK&};KeqGJm+nrWnIV+vb#5^iXlc4tsKy5ArBA;1Nn}7aseeiJlmRG7}=aDK1 zLO63Oi6k^Ckzy=B5XHcJ%g*VOf($CKVscfgZke7|F}B!QoxO&>YTfkb`y$?yX=ldQ zqe^%BA7u6=X&vuf+zwG4We)|xuN)O7r>NbAX?HU+;$CM^Q|VwC+XG1jP7gx0=^1fN z%m@2&%*Xpv%*4-@&HP9u1{9Vr3mw_Rm=$bkbqO5Ty|4L~#sPed&$%N6=p8XgLThhg zBmt$>xwd6S2D{c*AsM$MU^{LwzKo67x!?RVt3+K}w?p!b#otC^h+Sh#g6;p~>aD|~ zY`gAZL6A~FQd*D@W&lO$l5UV5dPoWBl12fM?(P^mhVDiY5RgV%q*J=#cXB_^d%xfN zUB>~({C&pWYp=ETJ|zrF&lTunemNw^-_c@8bsh)of5RCUF zuZ)&kJL}0d!(PydRDk%jgi+IG7-JR9$;T?0EyQuyig~&;(Up-36Qug)68(H zLunK_se?E{!!H3$BpF0n(hT}RM=Z2@h0)1EZ9yYKZCdSdZW{)(EFoeV--Vkb$|j6E zq%ZVn-+SeKhskniDkuCX$B>*N$kWL38Zd$FQ~pNvSCj0Kj;bExOqy%bSl#9 z0M)m5rV3F-c$lRk&s0-PbV8{A{;~3M$E{X!->XY!!DT(MLFo?;_6sQxI>fKxR@9du{=x2SBC7nuN_!vK{R?GB zo#JbyRhRm2OjCHA7UfO%<)rvo(IJAs?CJcclNppaFi>lrgQ`CX01*)YL}0F@NJZ(^ z#xKzeZQ>;5M9R`p{_;!2`Raw}v|9CzaU*TbrLPb{60|`_hOUV$hbAL&dxyqobx8>5 zzH6)#RFx$@GFn{lx4OelRslnEXtYp$EWtukBEdq-+b^(+y;Ok7r|Jf?*13oB61nA> zVI!0K2J*WlPLeo@xj|~L)Rn*xTX0b z>@sD1XnuEIQ>>SKJmuMG$!ogHn^KN30|c6Z9rrH#UI%dgPQW*iWO!J6)9jHZB^t7J?>UPX3duTsr%lby??@^YQ`%RU{ zU>(;PXeG|V&ElVNFRu%Z zIeRRoR9yjya}7Xcj?W7mSX&W#N&XQQ3}q<8mIV1p4OL?uLj4@hTSQ&0!#~ArfGA+W zP*pF~Ty@G*;{OU^Sm_h3Cy0)NVwfgE4sKZH_QcP%1y;A(zVzU{+$t7MF@;8Da~?5P zePIwsh)iNC%ak!RM@I`c>c%7I-(hXh1z+x=6WtE0#~vB`$flk0B5c#7w3M@AQ_>hr zSkSFDHchZ#2n2#FHkL?L#FJ;mI!)qN)jVNkazmeT9LoeVe6EZZe%d_ZAQn>n}e(lFZfnsL#+Xf=!Zd zb#?A@djizjH8anw2Kf&!I@Blhg8e$0Kz;0z>>uY2k6HCRAG(rA@Z~)3RYd8RVt})% zV8I|6qfBrr07{hs?CB62Eho@w=jhj5Gw;)6&bZPayA3j7RAo_}eh1Z`Ga)JWf6b6v z+?Kdp)P_a--1tn7E-vWnQxB7ew}DrV-q72@y5LCX{M5+f@ts&3l8R+_QCh~N5v0lk zU5VZdU5UbHyE#AH#Gb#qMC}U~l0J8Hi+%SAo#oi8#up*2F-U?W>g(%6Loj@erD@4H z;J%jpH98+3)7gq-YGelVY03YW-Sg~L6EWx`U@rMH|*yRb52RX$hupu!K~hne*f+oA%_I5r6r;=z~rbcEb$R&Vp_KPro7PM zv$b-48dOQ?2C7~WcL&;=lf#rHPNg9=_LfuV=?I?0J|~u9_IvwJ9}sUFJ&Fcy!{!^2 zN<&_?*B4RNmJUY`Fg4~F>|U$;pZBQ;91}O5aFgs-O)py+9a{ap`Hy%Fb`X?%nJJ`O z=bvnfnRhICN6Ox?BjDqFPjdC0dA@Hw&}!A6vwB5*BtN%pNdxg`Dm zbKcCgwMZ7*e9D+R8NK8&K&=(U$5^l-7i^dnV6}19lF&=i*gXn-5z*xY`mSn%AGjEb zmmy_TYT)0QD!7{%y@i?<8FNp?pVxed6Oxx{RFTuXea-aJ)O$e*QzYrxZam^CR%-@t z=h5}vtx|hL!q<|f9~|+iq0WI&$|Q-B6lSa0(b%Q~slJ7_^x(=-|06XR>^b=Gmka4j z1R%8i;{?bObf{G@jzhr<6ZDlI?hzbuD_OE+gsAZ{PF3u1!A$16T2LwY2x3cwj71A? z=JGngog8#HrV;m>FH~KoFXLYIDsNI8h70WTNs#R3{jSHYN688ce|E7NaPi0aYru#1 zeefb{%b&-5^etW^qU^D6&T3rW<#?8Mwtg6=XITsOV@f3o>M=+Dz*6L|t^qs5b#qWV z;8+&E@E~iGUX%FX8TO2fw6Ax)#=lVXZdV{@s$Na>X0$ulM;)~*&(XKSX$%gFK9VS2 z{7lwpf~83#B=HO#=j;!tJTpe=O90WH+;4YYUk)hEiUj=4o!+KUKkyl zT-g7iOeSa!<&p~I(+!*A;rFx|yvY{)D5srR!Moz{_ zpa82r&$~S~L)r4-LoY!e0yX%A4km1ElK{CitK7a>>Hb&V@fd#KGlW=n9U?tY@53NX zvBDTXh*RNx&hodlc|g~zN8OK1c87{d@0Yajsp`Zn^?Iz&cI0u+#@bRvWh6r`>xM^z zBgWg`Ck<+e_%bUR1S(od4mxJ>DJCez-$mPvs#TB|fQsEYf>@!*DJYxK5x-BC)oK%9 zL4z_l{}8=He)`{Xs4Jhr1p#56e&CKGXXxSgr;j}(x6A*9azDm-`!SDW`y5alN*Z?S zlPP+f+vDtG^;wF_9HWutO_-_k`P^yjRbk@S>D<=+A(o-Bc`JD`{iQGW5)1A-eJ&Z* zPO?ghge6bruL%~ndXLn~zGfv_Qln9($ zKmHA{>Oc{?caJUh(^o${pUZQFaxy#S($dN%$`6klrrlFCt?5g%vYPAfD-t3T?|AN+ zvCh5uoZkTEjTr+(zrO&8S2D2nkJy3WMmqEo2X+Z0peP>@l~xMe|6YeMuXM>V1K#iX zO3Z@Rcg+nkTcUBFYzMoL{tciH5&2gPcO z!coCFE^pmr9;>UVC5q=@k6vTP`HnL)R7`a*5%w#`GsDigM&k0ZU=P_-I5uoasb}9b z2<^GD!tJl0;=qiltH7df9ix&|Wlu;u^QG)^^c_f~QPZPM#?nzLY;D~g=!9Ih&e#WR z6oJ>Xy{U{;T@Kbo^UPTR-GN%orW9tw+tRNrWCsQq3e`yXW(q$ksv4%6W;=R7Sjj%P zW~3dSd7VTKI1~&$^n*HA7GWcHO1a!fYcy6ii&&P$M9K#N5Drf;WqlY7ap3O$-g6CP1jU!>%NBW_K0`_V<^%@4yKprW?{k~Mvo z2uV_mR-z7;+pm0@6e+-P&9Xl*T3Uo*dd{+P9rFDAei?Ohs*3PA72@GrON^D};_4yW z#~>o%I&8)jpkEEDaTY{-R+gy5SNeG8s-8rBClO$YPB@Ei8$5K2z^?m|8}0w1sH7mX zuTPc&_5#pW%a^jK@qFlVQRU#Y|AZ=71i^y+5nnWRp+Id^6p%-U_`DbwNJfLk;J?$n zJL)yQoEz5Vq{zgEaY+{QN$vvu$yw?0!E+MPPa*au4Qr2a0kC4(Hv&MSIxhqTWdaK{F`|J+i>p0sLHVpcr;)-4qzmFik@$*l8 zVnap6vL1T)uN)rEd4%!+wSS%w+8^}kX*zaFTsy1EASb(GNT*2-$AbQddb1P4GITjt7#lso#O)W~b2 z`fwZvM&h9Q>dENP<5NBcs2o|pN_(`eoE$Go@tCey0X^LQk)eKit?yT(I1S<~CQMi# z2Skxq@?5TMqvWF+7T`-4V}Npo3DdSawh0`JjcKpH@3j9jke0a~v+Z^h%hGbZcD;V} zQIB&b6SU-|icFJk`L_+psv?g)+XUDBPouU!d@6kSgNi>3ih!!nxrOGhHh^ps(@KRD^np&CJ5cpJv`&no7H)j_HiW*q5tICYW#8G}YI|?wmUsdM4oY zSAjU^?`yX>Z&m-T_W*#o=bK(R+L3?Ai?v*4Fn_X+k{Bc+$C)8KX;Z)H&cB&yXt?E% zmzMB}Gn0mjy>DbH{o(5!znh~RphRZLwrk($=KHRc6ChE+Dcmp5SQ6O)bMtaRO;-eP zW8b*nM#kKmjf@5H4TE`>=yLI$%rH+xuKq6>HS$Ze6$Q_a*qXQEh^QH6cK!&|`-Bz) z$;Q?1wTMb}NX2e$Du`$@@|od<5+&HhmZFHyZ=)hg2$4is#j4FCWpqx&D8=l{kgXMs zRD8wr!w27w{m4-@=F5jf+DG6DX;I{lF6c|fqIDaueab~O>>jTMKH!nh*ZP8@`cq+I zf9vD8p0$Ww$GTs#k1UWi zED?Pt1I}8*c|2#DDQ=1nwMO&T1Zq~$Np8y#0{2H^a8$`T!ixUXDmz*vJE>T%SLPuL z(wVYf8mZz~N2g8tyYNq&nHlhA6yv(5Vq+P%7CQPxE zc6RTnI@D-}1=OM?KqCXymXdy!+<*N$AgGEO2#rGF5+ACsc4u}_A^h6Rz5&q+PDE)E3SA`C(`r_=ww4&fs{3~Zz>{@RB$(mshe?V_C18Ef?ddhzg?+e-wz7d2i*?E4g9g~@)AYJ1<{2`-8pv`NK63w4y)49~39)hX?PIQZpI89KFC5t$x1W|H7r(&{T-Hco3 zl9ObP5i+SAubeAdn5C|Gyj8$jW^|3MaFHkC(2#S>o7$yPC>@E=D$`R9JXQIhjR54t zy?d!|uqRg6-$qb=;RR53YVl^WlL7cSr z&Wt2wFF%*)=O^^XqO*MitQAG{+s&p}a%rCtWlv3ddqMiuZdC!8{k)HY5IMGCgdoFG zTfZa*9wcO2FK~aeJt)OoP+Y@p#iR2hY;c|Rz?~e<%9|JDTDqXsEPM7~&e%RIs*k^5 zM%7P*kECob?a!-plAVPw*XQ(y^Gg{8rD6t0h98fRzo^+94-P}DDsHc4w)zT|7U}8; zEr2}9O2y$P;`uzce9##?CLG3A_n8G#!G_&ffq*mMj`Y)`q&ldHxj*uP_M~94~%Un&VyGS6>XipP(m=2ra3iqY<>vkW5c{N1jSj8IbGID%PK>^ z2{@aO%q zKpj^vLyjAjCk$n#B>OIR7Gk;g-7sNuaIu!CWM^&I%X15-F4rM3b33}MLMhHkJP-C) z9)>Sst-M3j%O2z-vfRJ7Xc@fAWqg+QGj^hg-L$j>r+3Q+Pax05v{n0%f-Llb-WE?z zsjI%2Zc^z8uYq6M*ADgf&K6l}&0ZxseXnYIo2=7S+at=4e>EuDI2D*`o5=~%GvZ~x zACfPUo09{6T0IS-1CRSOa*ACZ|D9eAw&gBM9Oc2S!+!1A-{$~y)Tn2xRB|utgif+# zm?AI@v4Uz_m7$~_E*=17qQv#|D&A{u$OTe>^XrtH5^ zs6?@?F>EAoP9$mJCah9Y@D6=vF8v))(^oN3%&1h%Gnyz3$qK-E<}a?U0_FrKF_;ar zu(0%a3JVDIdkWKKAGXq2>@Q&BD&{pfMtlhtwbGJ){CTWE6=`w~qE980A=n0ME6l1E z#dekFknee&)jIxS+}jR z)knA!CYL@8Q~joYb^myh*RHQ_yIx@i1WIoXTesNe;|E8nqq? zCCuk3mul!q16Njk%?nlHn!#1Ko#?^ii%kJ0pe!KTCx&tDd&QWAUu0}nbr$9{4F0yl zoOJsv*MpB^^|uu)^?$xQG;}X0^FfcFWP1FkQ1XrZ`Zz@ zJIuc6vJusseO%?ssmuT$@RZH?k4FgP=u3TNELeH^>Nix4$zwle8eMs28a>Iv47=;a z@mRjIh}aXde1kc8vS+(_0&Tz5JWcrH;^M*V8_xypW+Rt9#jFNLJe>33HnXVB^|3ZD#A-PmyP+W+D!D1gYYy z1tbMb1Yd)v%VI*#dZ6aCE1g~^8`T<{F+p21+lXw2YMz@GS_mVYMhNSl`ii1L_4HzU z;6g>yM9S|vSISt5Vw`a&GrN6wHv?8}TQ+bQ^6>9Q)nV#c8szHk)?cYE-`6(^P4;caSabS5?<@p>%WvN0oS7 zl(PKraDy2cgjq(h9vfShLrx3if~A`>J?14_NL#T$JmeAYBRM%Dl@LRLat4M9RYGE#EkdTo@E8VseCf z0!N11U0x5_{|NRzZk(Wn5b=`>xC$pitYgTu3pLf<)M_VtjF%Ia+Fxc%DhrxYW9?Qs zrWS-%0k7{yI$30Fv;T-*ThMg>$!C_p@|T|JgPh-Pjz1Xu%WvM*zRl4)db#j9{$0Tc zvP|CC$HnIY@0y15)ni_dQ1N(Kj!!D_skdXNpCqkv2$9rhtG2sW0zb0`FgjkE4iO^# zJrQd7$(tB4H_s;V7~7a8@$w>?BPtWF-<(JB7yb}MHEQT-?KWl>?yW1Q*Y8x&=ykH<0D3tp-idJGXnCWnR>ulpXt4BiRvNL7*WI*{u9 z-SBhTsT=xoIhS;{Kxxew<U`#b7aIcFZcTK~VDYxh6 zyy&?7jDSk8MKPpGUL5*k9qfZxf6okb=HNaKEt8w6#BWr~AN(u?E0hY(BRAhWPmM6| zURU|g2ePxTD+10d`w%l&c=@H@>o|~sGoImT)X&@tnILMlj2=}*hLf89qB*m)$lfTQ zw*jm&$jWXcs1sj-Ii&?qY)Bxd1_M$Pi~LTAe2oQT-qU+S)+Qj?aMPxuzw{F4Jiog7 zN7+~oNh;q;nj#A1WrgqR0RQ{={3m6^P$-o2)Y$lN{b!cEz0W}Mlcu_lAA?ruq0TDt zo$;*uq7y1|V)2K=Nxpzlmc=INR{{HxRdCl-0dheL14_U01%N>F9d#4-EV&X(i~AfA z1hI1;fo0CMUU9-X%4CE6y1C;gzq(Vw69=k#QEl75>VX|ki^P>;!qvxSCLmR9StHX$ zHr5!rUT)1HI~%S0d&UbpVgROKn`#nmkUZC%bXyf_A5YvTS5F*36siHKr6>4>Lco4} zrIr-`Ic{sY(x9#ADsG)tYusZ9Exp@I(50cQVDzG9Jl=(QceN%8ytK9dzh*9wfEUrx zT%ta$VBMG2^gd5qJ?yu2We4FTrdpH~usx}4@PP94?1mDt)$0-vd~yIQ+wvXyU$52( z6EN4VDsE`z!^ZIP9yWgF$ZrvA_;~o7{h5|3no5XJEuB(+bq-0!6Q5fi5Ls&R^Pb!Y z-KMKND_G;=tci5lMqcS`Y)HhW>B$NS8IA}{D=h+8sYPE^^3+62wv0xNzGRT7q`6t( zV+&{rX?A#rQk;M6hmUlR;2oFjvjF$;i|j}V_vnD){20J|47Rwz1pnbbt(nS1A^ z#QEtdtWb%2*Gw6tD!6WnS*4J#Gh`Sh&rBjRghe5EwtF?!^kq+}F0E-ChNfH#OB6F+ zYg#?k-psm$$eEsqzcKbG?#a_H{4L9~W$}mI_O$n0VR89mEuGm9$uH7x-qzaUj=!U( z6O;4nn#^(8u!cM${y*fr?^-@Qj{ghZR22T|$$d^dr7IX{$E}T=DXpp}DUFySx7ayl z=K&Vd3s?ulw{DU&Cg7<+XNV!{R=>PRw?J~m|uGc7KDaJD@HLpe8dQPULMGhtr zjLI^s_bh@0h|l`mEo)N$FUg( zlKt^igbQmK2??6f84JoG3wSvFx!Kv+s@NK+JF`hf&-4q|0@hLj7_>fb%D1biAWa?@ zzo9q$C3p8*fB^*uHGZp^Ns@Dmlr?WhSLPjVJ%viQ%;Mw@@WTYu5OKDBdroiFLYTkt zBP>@ktbin^!!HR=*2a6#Co<}fYCyw+SFHox$uFU$Ut}4o zVsbGyS`Muk6Fv&uSYJ-`OSL0N-~O7{(x+`vlPIZlySXH}HF315bozU}bY(t=#~!3} z)7Z4eO(EH02p;O#@%2Q5Vo@ppyQ!+GJptJxszw%UFJi8Kph7*qzCkIuC@Zu zYPHIUs?is@_1yTPDYnWBh1ewDN>-%L%X+^@WqYH9rdqy5WvT{}1mHWjoN7fy1JRR2 zdhdufML7t)!Gg5C&&83S+S|8^IHZ!15lZ!u74!fT%XWe!R&0u&Um)}`#{j5Vldh*WPKUE-6=;zz^deHU8 z+2Ydw-V$r2+{Ug&?S^AVzxn98>-yB{Ik1&VDv--qgpIGnvhS=ZQ>^{`oUyQZFl#o> zt@LYR>K&!89U7$?ks^_d6DZd7T7i@F`y~D9;)nmklK!QnM8J1s1-2*dbG7Zj%FbuG z>J8EFF;$OQJcMd4GxF=TW1np}M}0H3HR3f3AA%+yj*`A!i|H{R#PM-@3fF^^AZvlz zh#%+cyskb;f~?nmVLD~-e00sY4=Yv4jkzM3BeE7>&9ZD$RZhs$N@?-;<>oST0ISZD z#HTpz*rny7@!|;JuDWr*y?LnJz@eS12}mL()jZ1FLRGwA9q%8T)zkTy;{Y@eqW8NV|iA z#+YT>#I)LC9O=k{w>M$5I8BxLt>l1nd*DkPt5Bzc-hw8F7x~#=cBxL&zuul*Ybw2c zdqq3fsSt1!;iW7ywFZrv*xASR+UkbC{`vh;)yC_M#N7Ou=^i<$kj>6rML9g{j@D_6 zEBwVA{;Y6FtJ#M|A!K=P>yudxCMuupjJ3GvkgNfY$`SbbdK8aa^Yai~RvIO_Kmqva z>^Ik+EnI6{VQxK7$x+gX0~`y5AgO%Xn@#eQCKV~=O7dNoLjRMy?<%>)`S&|?=vxMa z!uB&FDb^L2oEejJ++o+ko0)W0*WWc$*$jyh;+EC)d%1$ucW@nlAUZj%P`@eLuCjR+dpU7{ zw_q70m^Kn#TJXxlg=b|oemV|u$F9ydcV%na{i@8VwopaAzH-D2qoI){WZI3fIUQaf z_OQ4-q1UdY59Z(qwiwC1j*V3_-*>H_c)`V`bd?bYi3o~i^%%j=ciL};j0Xpwbsxl~ z`l`dDe7}M^1Fi*fJs7}=67ta(9i^B%QPVmXH7$t$m^JKZdiHlD!$sr_aMVUxRp*)I z+@QD$as8BKGqztV=4?}TOld7^(%86lNPd2j)M^O0+hnIQow9sjtJ%{3HD5+^L%Aap zz8?SG{`L$HS$;y7?=uqNDLS#Ke>2RwY`=ushG$y$ORy*pSmp2P?#W=*(zu4P6jetr z&aY@}c`G9xe#Z?8Rxt>HQQc_N2F#<9Y~<7MP%7*2h5m;JTfZDI=l|WWJFxXG4{rZ8 zx(RnaH(}MnyKhVn!$PCs!=vB3ybG3t25M@tTI~mihdIO$jh~z2#TIjo&dY6P#OPr5b0D)=Fq zmSoa09hLI!EPHe){VKD+#aV9jMMRPc9?iD!t6ww`o4K(-iW3>-r`YKsBxSH>a)A#N zUdQVAUf0g}*GHWrnZ(a{;4wM5KQd=X=K zB+2wFGuWcQU`2seQnn0~39liipzmg0es$0!MeGB@k$cNQt%jo&EljW5=WW(AhjmES zwWVBdj`+S3=WgB1*t62tl5TUiNWr-`--KAPtnXIroot?bmCM>9I&FjCVF^K%= zRZYtK?x$BZu*~dU@4bmxv%bAKKG{;^Pqr-Jm>t>*hzDfhW=NsL^a5V_d070z`Wa6f zRULge^Ss82$a7S|^5+k4;(%LNSxzE8l9@_jB&+FzS4v>8=>P1}T~}#)%aqFA+0w$Z zmc8UE;PZ&uCXWhKU&Ha62&AR#Y+7GBc;Bl(OO{cXrHu7m#n?GjNs_cfs zOSP&bF<}&3?=uHdxJPTPXP)!$B)aTOOElHlWa2L{SG!Ip5MA_dRqqvJm@i;V4u8}f z;=+L`d(pyMycijL-0vf<&t90yU*egvQiwFnkiH!pe#^r0o!{`6Y&p>w^KC5FSS4Nv zf90Yo7&=r^d~?Pn+!jj078<#$Gl5qrzp~~UyE-InR7Sf@4<#uTx)q3=_vZK2_i|2y zxBIfbc35V!n3H%bD@%KR=8sbtGFo|d3(L3E!h!WQ+wmo6w{OZ{SC&3iBS4y%W6&T(@rT+C!3Q$TM$! zstE_mJ8niODBq9JSj4|gWF{!Suxx7DKD>Ety(VjEJ*mig?m14sozv3IAa*N}#jJe6 z!o=`N5c<*PvtRYhx2q>CxHrTEA>s<1F4nY-Ibqr?j^eT~>pp5=Gi0^VnqFEiDI@sO z&8u!kX?=FCU~i+Eo@UN`IH3ur@|`byKD#C6ym1)-+b~};{`t_NYEIYIe;dr_{?B(u z3fJQxa3vE?^TZqH?&0QZnky8R?y|xy9{qR{_CWi1KvgjTnO(;^qI)t^XG@AYQEA!_ z`ou4ew+2u(;P6b~>27jm-&ttO=P6Wcom%L;YuIyxv51OA8m~}|rZZ^uq zwmPAi{-Ba48@-hy8=cQO!eaj(>XWW=dm354QhxsKDzW4|LnVHXJGRP3VCBIeqS|ql12{f##bF_bC74Iahv*%`rc^mvUQsFPmHt(pxWj&GdoRHCAX4>}#qg zQt(}^p&?yM1QVs-Ymue;fu9g9eFIO*UHM}YEVKxBm#1`-OYE;>#cHq=$(^)YPTLW>3Z3iRlNW0{{qf`ww5cU zNxEZG_*aVx@_1zFHa&dxr_ z%F1Ssjj8RQ5^dyt$6AW5LW9nrK>_P9-(oSsp)eMU7#R>R#zNWo^(AZw1o047c63 z3<8%8@Ua$SCIu0mj{Zn8qnrbso5lbN13PP9~eU@=d`)cPobn#S?N zf;ONpJjEs+%$do#Tx(mio6emdryV*BAPgjvN#B*BxbDm57OxcOJ#z*7aySQ`W^9md!On z`EPLg$FNZLHIGdd`JizCJ_s5bl81}~FmzMLWP{etZ4stoG%k(4HMYG&$^97tEFP#6 z@vJ%^IPK0gwWzeKEF_?p5LDgkW`=EUb|^+k=}hxF(93DJR^SE{=H`kfzqV+TZX*{K ziWNG8#{~Euf1|iLx<2K%==k*P=y1pZ&|bP%x7*h(RQxKyOW7;gs=@^CE!0P>uJvtb zHs4@lLr2SDtx(YulCFJMYo&xYQosmbcu&g@}9`$ z=rmsre&74>l@zN&j#)g^U_u`1mZ*o;dbSaQ3bUx0`D&EfqG4`Q5)6guYET-?Mex|5 z#+h7Czzlh4b)%x;esFC`u$C(86@tWhAev>i~mshL?af&xrDB6|5(!o?g!+SSG@$dY614J|1g>CShnLEP-Hp6%lj`Ta*MDdjxUD zjt6Ia;Sdc)F2WP6HRppNim;3B$7SVB`^J@M=LRB+~v-Hes-(rDY&?n|y|Kf`a$S^jj^i7sZ>_JH3yN$j-~iB}KBuNCq3Y z{Ly}QCl!j(juzH%O#VKBJzfnlMNd^z=1IT9O;&M#`ZUU3ui(9B?b*iwITYP9jW2(o z)+OcZbO{&l#@{zFx;i@swz*$9C6mKf{vmuZfhxX8#te&4AloMK;~OVGP)hqKU?gZ? zs$Bf7s84`kn}E|F%ptI_k(#Ns2D2G%Zf-!o#^uS*9PnUod`m+wSz029^E7Sy^p@l! zbcI^6vyy4IU~edyn9U@uh()o91)ta-s$=>tAz6Z2u}-^oyTFM;WHg^9H%sik#m~%A zy8X=_8Zq;+0(^_}wV#~;$-ToNF8MQ7w8qI4E{lS-X zXt$COFO&-x+YOM#1vmEd{rdQ6mS+ z%U`Laf3`K-HqQrcCrrjN(M5Bh;q_MpyG&{V7e4gaq7!h4WC5q7iMh4I8F?Rbj1EO) z9;n^RaB24PHcL#`df|=V^ypg#5BDTE33setkC1FMJH|Q9^3ursxVr=Yi79?LuRj5D zI)P@a;bM!4b4|D|Ou$SKVU?O#$2A_aw|EJ1qxI$Svw`Dw)VO%x8si>ZU_e-GM`=RU zaB!&9!GY=Zia;5(WZ%St6*uA~a2xByl~WH2LKkf{5|L&7y9};CEHlP)F0KesvC)7p zoG#n?%CC65uY{Bp*0(4aN+Z-R&esHiO`DCH-%8^NB9A2b7Pnuo&nv!~<5kE`pO}Cx zG^}t75vaqO=AT{($LUU3E|QbnF#=DxbNHeKyKG~h#E8$<`M!hr z7sux&rR@})tZwu|fyz!B21Dmr4JgebUmLkNx9VL{ zH7dktziV7ElhVa}diL?%Of4D^Noxyfm&c0S4#U5wv5*w!DGEw!X(3*}Q{=fmnGp%P zpRNDm`STz~rFr(vhv%1lcXEd`K!C6-g&Un$W|Y+_-C$KK6LU$xe9*XbY|$FuxU@85 zS|gEmFv3S3my1m1-7{KN!RmlPGAA1UP{PHGoQ21zv5+7Aj;~rXlk?p5wr&zJFd3LS zXDzP_?W1^Q=qw)2G`(vtciVdAx8l$KPE7)9Di;CR0xZ!_woPX2mr`QEu)LplX=-Myxh2x&y0cjq{cU zaPAQh7?B`5ySfCm+l^3qTPaNp?y0a`ne^t1&hkaO;!^*J1h07pG&}x8qNFAv=phE z^gQ1c^b&ksJ%Y5BGZ+*CM_F$lAMlc)m&E7^1BBi3>#c1rNt&i?#7f@JGR!kJk<+TTc?wrD3W?!JgsHL`#my5ljT*|XpOJh6}Q&&u2%Q%g0`4+Jhq7+d>_YQd&-JP170qfTfdcj zS!|qs{BghF?ygRvNy39Yc5Ncs>p59v{_m&fYr1j;tzkjEIcfZ?G36>M^;}4K?TnX1 zNl_h3GGYh151`KT?hAU#LhpW8>Mja708+KCXd$S|KXtq2a!#=W?b6l z<$j@l*pWup_>8AKdAhD zBy4R7n|`;1BHXe|K%n70D{{%SMnzR^|3?xV6B9JDiHL{*Q2hF}T7vJ_PvQA$_%8F) zgnoTLMBnDG=P(?pB^g>UJ$)Kq`(6e=NZm4MZGD*1kzitV;9y8hY!tDQrqG|zFQe)0 zt-KV!g-J+o(Cu}THZ`S-L-w4v;cc#&)+FA6!1u%FI51gMjd#~i`!yv<4&tIgpD@Wn zQB1jjUi%2-jvKZ1EDEDrkscZwnU}qP^-Xl_Fa98<9rwVmCdJ9dH54V=di((kgYa&y`1jcfTSC8l zt-NO=wXs{MmSOMvurw^WTyy+EwjQW1J{r4$TTKSjw{#-J!ioN89>_oDXi_w%s87e+ zp+kBONT#N2=|k1y^xE+FG4t}AXIps<{=PNuZZLP;1RT1ve4YO;ihxwLJ@qnz1i39E zs!bOeznqgRuN5M|%ggZESTeByTg_WTO^ufI&+DomUC|^94tiM^@sJ0+v~u3^sr4%h zYqFw>BSl4gHu251Heq!so`_6f#cj#vyAC#G2BQ?*Wc5VM*-`qnoBR3(vvYc-EL?xs zOuM|NC>5$qo{%gw6V-l+_h$#s$D({%tcPREJk0uXgxSa17vPKT zP8Gf=JW_INL@&pWuOtxod+S}~@YHeK!5^x0ra+y3&2zq$V&^FSfcDQjJ+JC*uP)V; z4N9%%4&OY?$7md_9r%Q*Szc|iy$Z?)Cjq{DL7M5XJraSA>s4O6hg1>2qyg_C5n!Ys ziXXR|{`q(#?%4ki2*9su#?AXHjvu(a@zmf92NP!7i5G+0{yaDcE}X;s-6Y9sQpu(YsaSD^Ak7b-Z3DWJd` zOyh52g;zBH!9tDC$z_yyuml{1SaJNlEhvO4{$?_VFwP(-MD3j`>h z%NUI@AKgk`3-hh4sjiO=gQul(lyY8uOBHz+E*LXN?aGz*YL}AF_R7ua#{Y2R6Bg-D zi8g(4Ql;j^vJ`Ksxt2v6cklDVqy5hj8-a^7{>?S)rZmJvq(?=*;}mzeWHwOY_`>Qw zZeGt%^{#Z^=HIlO6|Jn zdCFdwj}?qwQJ4<{te(G^=QhFyCCPNkGVj`UrwK;NPsB>(@(&<^)@LJ*UxIu=` z`;je|ySgbTaOznObN{T2;CAMUjdWiAbA9eyUb-H>S%dop`-iXEoC;Ag?s^PXn;itd zFqP%3lZ2sU)@mGF9*HDGBEfXVsWd6Sj;GxaAm3Qen2{h)wtpFGwg-oW9m7yUBtwUs>0nC& z8;uWd+F?Jh(+T^#(InvvnRlUleu^~Cd}$}67O3&%lvuF*2wpu**t;;ne#!R6zmqt? zfY945w>~11Fk%|RmIGll5Ybd@i1xmn+1n^uD9aX>zrL?0{Kwt>LvPnn?>8lLm38{* zCsk3EI90T8lsRZQXE2Vxd){oH(FN!+dusmy^O^}Sck^2#+oXqIwHNg81s0@6eSvGw z!wx6yMn?EOJ2k3iQ7y$$8171KRKa`a{ADfH!k<4U!JU};Pi`Rv@3+OLEU7TVZ21bBaI6kyorp^<)_$<-iMCG* zUQ!IWg#tEBr9C(_^feAFC@9DVT*&uhqvWEcETT1kb8;25%8UpI4-w}jFK%y^zD8A>DO86En6Q#F9}uhR>WT*a z3RtD~dCmlsMX3sqQmdb=yQspfK_DN+K z!io|ChCQN}IQC>f(C()3kRaJIJR9(l-rOs$z)(Vye;rkp=3Oe?+i3Xh(NTVqPqxmx z1=;cv_keGEWJ>%5u5XnshOs8`MB5MEpQ$Fg@fA<;@UEtzKcjX0faybZ{9r{h4qP=} zi%u}~?0MR83W}82dMHX{xj?{Ulqx56TNawo#NU!LN4t`xjUvxDiMy41%b4+befx)1 zqDrlN-WRiGEiD>U{Akvjn&H-LPLCSC$$yZHn0!;FpB5xy1(K9ypPj7LsYxyvt$Dy- z9p^&tuWY0oe@0HI9HOlFXMjsaTfhc?_G$hcTj|%!f1Yf)yNMT(HNfd)Kk%ja;Z^AL zYb8e^-ry<1NxTgFTC0-m?nuruWig&JZ%gZHXwT*7ySw*E)>+kP9Q!|o~%Rsz$$!$K{ zurdjw_=6^h1|{LR-)1+&`5=xD1;WVmIbH&qW9!$7V2T%#sT*hxvq|@Ub!{=7u|B;} zhA3vb{^-rU@9K13o-oSrhdm3YM_+m^LNH^H%CStk%?N0!<&6-~!Il~SpLrto7jZSd z&c|cLJJ>Mp!R9ENWM{%Tfi1Jf@imP`>l16I$>yf@Yu{4~n<-t{0VR+Cw>cE(Dz$FW zI|44bGvf!u>b=h#V>Oc3hzUqSSlshiUtZn~E`VSDy$8!qA>Ay$tO*;{$#3XA+14>8 zI%aec*79k7L;p}@_FkEE?_h6okfaL+Eu`|T6egOfhgZQ%;m@JubQ*52hA;l>_d z-^k}0%GyUK60e=+BQFPf_B?OFynzuy)xe*Za*{!KDu0gy?|Nunb8Be^S8T2MR7$_7he!&1W;H1XpLHZgbd;rpeaMXeZfd_(SJg}QaF zmbF7oDv^Nz8JodCzx@CBddq++*KTW=P>@DakdUs02+}Di-MQ$L?(R@P8YC79(%p@8 zD%~w59gFUc_g-xG-sgF~^PPVe{JgJq%{j)HW6t?awD{{+ZL~{qW{b7exR_Ggtk0#r zy^J8T+?&#qb|+23%E(X1Sh;lZ0>by&2l7|fjV)t(>vw@R=XJ?83HE67+`D4+do|n8 zM24y0lR_psUCA%9wc#(xhM-_VK*P&)o`g;E$-Q#`=EOY=h57qBH4zBFPl2%tT3$9l zucU9vv1z^0AnEeut@qsm)E|R<_^5j=PC01|80%LJQ=*!tf2T1I&QKH4ei}1QJr7!4 zg4gEQK?xm@-{ysvo#DKhJNX*O@@{*&>TL|==3LvkLBjzYj8R^S?@kH?+qXvGnEMm& z4B{eT(VNHviO1#(?Mtt#5!nmc*|4Kf4Ne&~LD*uJSL;kUrlswxpQczU|rcXNBw zu_A(kOI3!VaTj{ML(;v{^wcx~Ib>g@?olqV1j<(7>s?2hoX#^Em{$vhhVEX^^KPqA z=*_=6MdG=&IGRucu50AdX!Qh0%yCz3W4;cbeX=S3>K;w3e1rBbDENA=zQqt zwS?b3o2~)e@`H7*p&J)d?!NdqlRC%y8J-05Z{OBnWMh;+&&w<7PWPKghBcDy4TWk_ zO%R{x4ENFZ5puYE7MM$w7V-^ff4x#4UzTNUl>bdqy>R;^B=CAHa^&(YS?k#%d>M(y z3jxik?PpjEwyv@4nu4Z_aW5MfoI4~{DvWSe(HDtUQq9L;Eg=eAcGlO&pRP%=j|gtQ_HpDx)nfa^Ikb+N|h zDj2(hk^g<_Az@TCFJUBDBF@D`utx>!IA+dYuE=M&9n~)hYZfyAMa3`JKx56kG&4rE z%SN;@1)v1D?&|{V;Nrjl&;tkwH%1T$==7%xU##u}EWI{TAsT4?FOq{wMVIl8#TR9h z$Cu;vSoFj^x!SEkta7ogsw%4Nr^Kc+VmOi)7Op!vR@bbe|G3`IBa@zo z!5lHi5tE{Oh%V50V&GxdgWq zuk%Sz&(!cfovtYO#^bRL?{B#)0HmKV2_O(;()@Rf1s>|zpTv2`xo<1dde!yOH+bXT z7wuji6efO4mW`5*OV7&k6oCM{-&MidSm5ybTVeO$;!l`OkDi^TVB7g6X#=RpKFT^_ zqf#+Q;Tia|93htXv)K>Gc7XF#0mx+~Q>ALqR}(G2y}z$H@ENd>4me{g`)S$pd%TT8 zdV*0L0T>{O<0;CDY3I0t5~X8y)wGUWaWsSD#}_XEqAbUG=PYL5SnSFOaP$Tr_v@@= zE;C8Zq|knmuanhY5}N;BWvP6dhx1^K9Ql*c#ERMOm8mGT7%AO3_%HbsGJLh7m7hL$ z0GNS^k+HV~CQa=|qo{vpQ19SW4X}XkBX*uo1{pFis83SH-#9xtVHRsThr=|mm9C)C z4AJN+mt9sseaCm01k4NO9if?3&RYDt(zD{qXY%P&Q%!QWw^w6SK2gIzn(s4$yvQ?< z)tfab`@pvZF1_HSCmp9=HJ5W@TtoEF9Ox%&=^N3a0tj)GPgeo zg`Muh&s~mf!%W57&S4#m_%<=&?Z+CX8*cU4lwndXvLF25=cHSC35HkTTPF+nf$rJN zYhQat5;~g+)4;F=Yg>M~Pw_~=SRX}cW6TNaz0Ju5#1h%dwm?GxOPVOt>Zip8KUe{u zQIbr&WEVgfZ}(3pBAicvk!&v^Mc0H-5`UUv;l9qXO=dI@b@3H}gr)~|al*sJK7dp% znKp|tK@EyS2Q(CExsHM|?25QYpzU{{H6KMqo?W0Wm5ibt=X}>yGgi^? z{kzNTOy|&rWd9CJC)^d%;Ngn=q6s^oiSIU@#>kCD3k? zJNK%!|JCuW(89v2SFihDAM>}iq941%#^=v|ObFUYboUv$KEHgIJ92f}Wwz33{DOfIea#rEGl~qVc(EI|YRK3wKT_Q_2&;<|T2_l)8!kp{{S6ZwULVYuk5y`Wz z=@#_#1i1I6oHlCtpx?`DMwpFk%H>*)RKNNdQ|arhc*-KedI&UHmrt0q{+zCa|D3K? zPJ|w2?a|Z0!ax#`rNbKs+-6T_euZTyX9B#1)l4nZZrED7m#jYX9u1ILNJ^Gw-5Gl> z(TxS_POYZci;s=s3+e9Gj)~4ZpD!l(l|rT5%QGzT>4sk(d}fb}SaaFZ3P)lTAVOS1 za5H(l)V78hu&2cK42?9UWzBRsd2$qz6pZr`qRo+9J?{a>102`A{kxEGviUODZ(iYgFtr8ZYp0k;oVP?>jti5Uvosm%{r*)TRx0iueR zBGEUcRbr0yWiMz_dTOC~)R|k(C`&yA`b+G=c@vK>r&K1GD3CQ_^Ye=38-0WBjebM% z{&OEY>Kdz*gJjQf>@%;>g5J=b5~@Do?+*}p>roMvc;q+$XXKI#aLZomHvXaoTJ=-| zWV|s9B9p0$Zg`*eRYaCiU~KRA-$&k`iwr*2^mJm52qqIQW%e$XtF4GD0d+9Nho+!% zsA4+IlZA=j;~h=hhs?BjTy71W=r59Qo-6yZtQLCG{bnja-X}H%CQQk+)VG}@DPKWK zy{;fQu=`v4Yq~4Ia;#wL<$D<4c{l-X^}~febG>*30$VJgeL$uXzsybRh|@TKciUM{ zc{N1hiMm8$7HVLnn!Mx&G?Pjw0DF09ZuFdI#(Ar3>~_E$XOCN zc4vcVhhdSertx0S24jQ-E8zpFh5_}gbg3{{^f5BQ+X^_cKFBQ^=@a#}tP$p=eBMYy zuIJ-6>${1v#n-uJkAMuM9fgCz4cuRil14k}}rgbSD*G%XNAdxWCB5 z96{%i950xOC0*kRLR!25%G$~?`Vt`ws&=XglDftpLPaN&i8Ce0R%ydjip`5SrEQ7t z4G$q*C!`TE1d{jO1`OX>VU2^Imp=M?LU1*RisL`x<26XRG^u&E_4jFvenG6my2v_p zoXh$2%6dw3+M@W^uU}#)>KYmv)>42v2T)6Hls=q3Jdh(}e02cCl*TYYxy&jXBn`j4 znjMQ5k1Zy^d4jFk*q_am8YQJit5 z2)^+Cu@|NWw`gn9lyzlb|v z9vw{7-ff-zq1L**+c_Imlba3fKU@B?385)fxF5JR-%n`5E^GYiPScAlgT^EUt#0+f ze#@UUdo3i7%ofQrztB}M&otnuQx}~C1>a2HxpzO=+2DM$PXoUU9}%>(MM3XQ->=a?7ch+y7f>dkS=?XRQ1KAMt$CSYSueDNf6nn;QuC&U zWxhp}+T3_mk5(t*_jVSjxz8Vj0e8UZ&RD6I#@45dM5t?e>F7>iVF&~)xHkZZ7EE|u zrD~IAsD%4|sz=L)(&7Ey(@Hto`Us#{W1%;F>vXa?f`p(ZA|jFuI6VTbbztMaB9+QO zV`W>)20$z5vCy{;remShMz@%D%ugd++s)~b={bOhF<@t;oD&*KL)odqVJ6kc z76wkb`H3^S;D1k{l&-GeVb=MBk|Pv1E5M6mt;T6T%M-eX;yPB^bq{Q1JS#xvx$RYJ zwkU$_NBI8Nlz0Gg{d;min4}Vp0>&1vUkQ5xCJ76`DUlmi?ss~${3XzD!dQ|pnwQh? z`iWFS94$;wx0toVJ47k2c+O2g`AM|@B(ZJuJ1SU;tm*5XlkdJ$>^pga$M^wyBfkcY z%YA3zydo6qlg4AZ`1Kde#3{$|O%(^fhhQ`Mb;S~L{V+HK#v6zK{ydq1b)oR~*CcLv zr-FSit%gBqStlQD7w~Z{e=KxGfeWw0b*o%)brv!a_k1mAis^1!vRq9uE11lo7#!Ae z?aKusNqlf{uAg(`Cs0-PDCIevC5tFge+qtr&DoLS-q)vmrk<; z6}%@K-ma=D8+yH``1aSf`KZOtP`Gh)Z-O5rF;SCFKUv7PS(X+UyGL1db06;d5*i6^^SAN)khHH)5VC> z31FbL4q@VDZ zOAaR%w@g>(ssNazqIbsI)Ud3R=&jFbyk;ugdZbh<2!>*;7Wj`iIi{Mjs&BQ;30*kX zD}3Iqdg+J!Li4zGRoGwVaqLGfnthvU6_sIr?Wq;X#D>=*hiN!ipWJ)XMvvI2pb?)- z-^>Qa=8!Ps&*)R=tD2ccx2gZ4L>$uI?fHm#7Db2+m8YT0=uWG-KM@kWntJ^T5!gSX zjVV;7R%s;)kIX|u>@YpI;Of8?Kt6Q%QhWGmJIh-knfbVT3JyqbdF z_!>oRJ#3)YNqKeUHFmjmH9LeQh%s7}bf1 zZZt(26Hn=HIW|j0q?SDd2_Sc`cB3c-LPc|~b8g~&e)NE2_i`F&=R{q@S5^yWp_ApO zNBF=!^n!s+7{q`XY$CJtJ8YxSFc1S_Lq~z7IdZTQ5HRlrf#k>zB**^Q@kW6G!{-n8 z2iqI~+$k_9%ogP7|6BWxwy9~^`pRM+j2BCQ2;V1-!lE3{{!{v>!|7^l*!9)3t+pHE zpU81~YO8iajuBW`7FCn12?}dB>N0&iEJ{sf@&aF;dpc(YXQ_7}N;e3YbvmhsL|dhb znuom%MP&}gO=G5c%7a(tlGCFxATNAbD^b@FyXhu() zlqS+Dq6;K#xg{sANZ+%^^E9ieK$PUh-FBX{to5cSj6&YeLVCI4R~i5!R7-rsSThx?}A7inDEkr>C z!RlWtWb8bgCKtBfQ3{tmuDqvs&rG2`;GuF8$*|iCWJH2eb%o_D`e+Z1Qy=BE#W+uB zisbolDcxP-UXmT*ydZG39E+Uw#yiZ_M-#HnN2>l?Z6mbs(h{nGJ=W5z#QcSRHI|tz zOqc-1mw^I+;0kC@zg@l~#5e7l{7+ zw|ocI^tBQI8fgI$pUp&y%O=+ul`7KmWZV_%hHmEZiW~{co_Dwxk&f9N{b*4*Fm{9} zrR}=23jS9R8M+YMBCkCSnh^JSmBy$fCyLFdE!5tKZF`_#0CAlOPdz5 zYco*5DV;|(9;g_xlwkzzRe$L{#4QE6dIEJdk!X26WFDAaE+&3?NbyVP_shp(SIX1S z`B8X-gDckOaByZAZfvsEs9%ECQoFnxmdScBsEer3;Fce9lW}5vdIaawGR3A zv?YR~V!OPj&qReRE+462#M0a#)pTC0y%%DGvpd*XlJ^}H(o(E;&4f6^8bn`1-n%Qw%vr&dq1NKkLyFN?WWSbxF<>?Trc28RFX2(1GvLjGnk zz^z@_uC$Ced;{QC{FId?sYa{e+RQ%bTHJjPV#Ht@05g!6Ku5@yizB3x>1SJ>o zQpiZfc3F2{y~|X5-+nB!vPVONALQ9n>V_0#OcLOl81}A$>H7y|RsRo?hYuzto zM2U`l?xr|VKQK}=d^)vNzWTFbOb3@)DVcTwMrD+e?-agl{p?W(5tb`-d>ncEnv9^# z?ERJLSPR!}I0Lj7q?1s9#B*4n+gKpqR8UNkWEWIrLwmVp5?|U`;WnXL=amh3)-QV> zQZUftXwC=pe>C2Gp9TKIhGq$k$i-gyMg4!5~s!8(E42SF> z!<@W?+Pa}in@XRdM_#gz*Jygleo7#dfipcuons4;!>n?G9dOXzKUq|4pE&DLiEE5x z{}LI~e1pp2vZ<>TyQ$EsBog@YU9^{~(|gi0(lSqwCE81N?)P$OS1_oAnOlsP|GBKd zN%P9=40~?OoqN~QHLE4!h6SP$&o{T=Wwpo;|64}i+JSR5|9eZ>d$05t-;`b^=Uj}5 z|8$!V4WQ@sqL7`~j+5-_tWZh$;*vp~XL z2vjhPTR$oa9wF}|=Q15s@bYQ|qp8Ph_tw9A9?LcAhk>}6ZjKdV(X@SAO4uXE6<${^ z+(gzV=Q5T|JC)0)(Wj1uN)aYXCD&~@-5oD9e&>2Ojf_B!JqmdU+v+U3w_?G1H@|bn z3;6<`b#A*jwhkBy*pe9Gl;ZV)Gx57&+uWRercmI+YNCt%Xx?$4!G}$Ksd-x30{o@) zBdcYWjiVn}2)F&b4hFWiuxHvHCcgj8QME2Zp>^q8k3cLYADoQ9d9Q2}v!f#6?|-Ca zBDbTMgls4$|K3DyD5KT?elkOxc`O_zgyoHV-H(EHZc~*)VVd{U*;o49_Gx9DMy~}% z$gaPJf4-7d@uo*iCY`;Eo1sS<#81g9p@Q<3LIf@kph{o< z;6Z34q`}25uexh@cm-ZN`l>k^7)!Yu^_Y=N?;BBr5g{+depsn6mT_gOZqRNlJF_sLiWXzg8Q3n3HuH zgi_g1>9ZPNe%alx$)Kdr2ikrXO8lI!PN2N-+oRdi)=Krfu22$YIdz$NHCJ47rKt-Y zs@lnW%@3c;K#XTLB$hE{Ry3J>wBxz_6Eudhb>J++d9JmZlUatALfi`Oj?io>p1o9$ zmJ6Oc_xLz~3$@Uq$v7`VPEwrn!7H}-+m6bu1LL}y;_>M=2Q43FE~}Ma0;ubS9?#P< zs~U{bRA7+|LmrTj*L%ePtngR*E$VtpR)bTf-n_-#lKE%*10W_A|5Ng#f-k(TPXQE% zB#jO+-dtrLqbujHSV$xSpJCAT(pVJpoMj5Jev6y0*xASHmg|CUhw1U$$o=D7d|&(t zh~Z)|a`*)wI~Jxrabn>lv?0((!`<$m7aV;?*^w$(+~YxSj3(QyP^VeZ!~H#dUE|fj#t!juP5%J2OwZ3 zjNK-EdMCBmu{!a_=19f8fZ@Q>!MQMzCVS?(UFhNB&>TD4FlMK3q+iOm!C1ii1-`c% z$z13tXWr}&`E}nE09U*e-sv&lG&+tTRImzP<^YO%k7=xVZzRLGu`pr1K|h8QWMB1T z;cW>4_m{GMb9FAQECY=&b#2-12|o~ty{2l@XXBVCnH#kyY9@PyvbAhz;P0dOeLCxa zb>`c}ZLN($mTtuBY~4c-driW7o!uMRWk``1M=#(!EtiV$b1vSm7HO@RduamfCXxlT z!DE*)yt00%{(6BJpeXzyu6ZhdF(Yn3j%cj_3w3)nRy}_NdXZ6%TNt-MG8n8eLfI2% zp`4h8KDt*1wbu?pc0*KM0wW26=Bb(>&}v&>FBV=B9Qd=!?1O48+=w+{O1Mz`<9aYPOW}b{wqIh%CufRK_Dp8cMOzm5A!#6y)vkG)&HW_ zP~KG16?>9({{_f|v>iEQcwGBA?=cYtIC7pNy)(As#4XgExj#;1JxjD?U`!@aP6*_2 z^1R)3Z5_HU6t?!RLUTluA) znVGaHiB0A=t89O#pBczhf;|3QDPNOZ8o%CMHojyFB}TUi^$6b%B{8gL63aF5(i7Gk z>3#;zkHrM!xy|oB$#%9I=}vm9`%dKhAGP5cKcm%uXO@SksSRgm@bgAPgs%s46voTF ztG4vn2WFep!g(Uq`NFQ4zrE4>bVvC!pOEe>&G*^`AO4vu#^xMtX%K0rQ)XCTU1&`@ zFmVW#qxd1Q(%7pg{$NlqsrWXX7q9i*ve8k`P9S`)*iqzyz2<2d!HGv=RU+H9a|jQQ z+~cDDewip7nE#mm>>cP9=M>Eub(i`PMWvlF76;Cx^W9WmmH|L{&)$P7KRa&(G;C#o z#Dh~g=yW1lbQ&YEOFOw_8gZ5E(Dr(Z*(0H;xBE%l>fk; ze}T`RlYF3{F^zt?*Xd3BM)4oHe;XMfxh1edUR*`ixC9N7F;}>kV-Jps^!%_O`;N{Q zkZ2|Ww$L7`)UeGiR$hc2AMB4d-l^e7ZQxSy!bQC)Wl-Y3SF`07 zpGj;|$&X4ywYGbW3Z7KiQsW^T7OEq?#$-?2k?R+iUsJ+aL4q zD?-MZo#H;{^2%=sM_s#Q3r+PZ=S5jRu`QG;K6=(YM=XO4H0#5`6}M8-F{m#vpE&j) zuO%g0zF!#oX1(f_(7fd+Sq{sn8(8~gDiTTmAvK>~ax&DD1;I_RXIO3QV!p=mgWw`9rAT}^zWh;K%tr^C#m$06Lxc7Gdht`DfWxtarn_-+6BcwqBat{8&7d3vRoxc>I#g*G@pqq|qD z%o-mC8m$V=Qr;_@z9bK*%V~R!s?&79L*{$+L^eWKDs_PLWmXX)Q5W9rOW%k&?WN19 zpN+)ZPGlv{{+n?8@YZdQ@e{zj1+3cC*0KnyTT=}(?FHkd&R=~XEuJsWNX>BSSe1Ly zCe%qapDTz0P?xz=44PO7UV3p5ur2*vTZ-Z4&O9O0s9mbs4J?3ZX?jVCG& z)!zK}kiu&#%WIp>Q}z24y<8#`FgkOx5{}# zygB&nCsU=Daa|<%`YSaPF#a0%F{p2q<>7K5uxAEnxBn#-!2UPsh?Y_bQ-S}|eu3pc z`R^>lRWc7gIs7ST7i=A*JU_>{wED_~2GH#G3m3a}vXk!;v~OR;EwWBxwy zc;xK-Ba(p-J0jN22@=5X8X#V(HZPtwEfAD^;IrC74pZiQYXg_^Hj7-yU{QD`}T(MFaW9ZQiIm>i{)8gU>fI$2V!DW64lqZ~D-M(NJ zs!b9TjmRirY8YLqBqwBxDtynhh7+$%9Pj*Kg~b*vRImxOSDV9( zNtfeusXEDV-Asua4U=9zHh}pJXD(|jU+5<=5k8Qqk4xkw4ZGbUP9&OmGFcdC(Byw=M=+!Stm?!%HsK zG9RCIne*}KW<>7(5Hu6>cuBU+3CRB80r6GI+j=>_>&Y;B_*-!qq%@ghvJ;J1pP@-) zqFHL9#=Dd_@v3rrk?WXau33Ep=pV6c+lP+H6$D;tJHYd7N!^Y&Nq?V`KC%5y^Yz~0 z%w!XNjNTh9y4qh7ymZIdb!6C6=tJwtM2PuS6(WbGn$ahhHEDPo$Pf2GMZhcBwj5M5 zaN2fx@~iay!iF0M5|q){(NB8ddT6W?@_iSQbG3D0=H2 zqS7$g4OkpFu(|-KYal&=SG(~4SDbq(UH_oM0oTM%r!D@a_*Gg#klL41b9yISd;Vav-IGX+#VZ2JG*v{G2W?e z{lnOL1Ut-^8*;TkKJxrfy5r;Jb+j^WBf(dHx3LYaH<%i!{!yB3DW?4ve6Pf`d!bDe zkm^Z0{}u~LP{KFikkG?w(&!_mBcDR)o&ztDkwIF1N-6L6|)CndJ;_>6Kg1O&aGOX)5a6&LN>u0jG>EOae=Sf=jax@K@b~D;<~Du}e0P(v@{%2l%+c7{d_b!v zDoCDU+{7>?=~X43XDgWOivGTy_EWH6R9rF8#>YQ(CDs1Big9XIk%Z6=Q(EH9MV(sL zr~!2nBHWw8wsSPPs;#}(1pBixyB>mpo&sDODEBN$dwsE*Q{G6W3|#X=%lwGN!bPzf z!4n?Lw`W~o`{IK)WJGs@$=$sQf|9?2QOF-GRd2bWi=8`$1~!#|VO=(c{6ti|G+OOT zk8j8ve|m#fwmxKCr>Z4|j`MA+#XI77fv1HAjPZyJ(nyyJHFP>U*1q#zS+|^9;NCSR zeBgKAJO#LlKe2ML|Fv=O-&#-6HR3)XHvO-K-G5we+XHL1fUV5|Hk@O4eCU&u(RMG` z-8j%m{GRX?{V@84ZQ_QV7M&^&ImlSDaHfa#Z~#Hi%9hZ<`kc=Eej2Z9G+^ZNTq~um zPKme6)j}qussl5;FQDN2^{ZJIoOXynIySN2c`#GM#^?1>#c9Wu&acc=y3CL}t$2UU zbcazQrFXzQSC{$=Qft}9v7wuzO3!jVKM%^=EdP?bw;&xfSi6Siw_8RkHzQ!)+#{U1 z{W>m5LOI?hEbG1ct1_I-3o9-bh6(DJS^Ja^@gM1`@c9zbd0kB(l{_Wuem;hz5S^oP zXo^pc9CiRAdJr`rctt*awCtBZR0a*#&yzoSzt{>`J!@;@7@L=B<*jp!m_G&OGp2w0 z^!pKfVYInAZHW!N5emgNagYe)^-gon!UX1&=uYWKiv{aH<(dDmmi^6L02cEJn zc}2X*LM7PB(f;FEtpn=Bvp83wq$!RTebfi5f1jlD0Xjp&D(d|BMuM2{*CYQ{#^hTr z`l7bQqy+v1`;+jWyFlje7$9QwEaE3T(QfkNXcuWE#(pFrpKly}qwOFvQH zy_wI-}4cr1*xr#a|&QWUCZ7H-PMFuM7ET0`64qc)aq?gfNS~L(5j$LK)>`@=BLFmGIRRxKww5B}6PzY?!NZWhX+w~0iptY*=HM)U; z5PhiF~ybF4-SxGk^RD&GDG^wYn;XD^TM7OymbvOsY_9{y1#cli^|~ z3VcouX>&~w@DU$}d9Kso8u7!1$OL@hDJ`!_4!*6m1vzXFpQy{WZGa21@^hBW1hj#MJue!V>G!XS+kZ+> zX#((JYlU6w{3d^j@c(|!2V~z=eZvfpDOKQB8TrTwX^?OzS;QTgLf-#Qx91Nor=&pj zM|}CQgHv3(A{h@vu-=>0|HfNrQ`~BSV11!kM-sf^#%n@b@HL6{Mq{wIbOcXXEsHz= zX_2FBhnjEEiW_KCLEY7c#+QX_TI9dvj`Bvti*0f)dRF<0#az>C59qaND6bu-#|gvh z`vt*2>5UVt-Ee%%8xCD}y3a1S0j+yhWHBnKYM9p@sE<1(nd(YcbxNeaOmuUR+qn2O z>%8@<1dU8&Ls9_dRX!S`fWEerWEf<5m>~0*L0zcm>s%hzRBC%}PxCtGvwmkg=D4{E zV+R%>@kH9{*$AzxD@*Kts`mGrSng3r4P+u;qg0nhQRj-RQ+)Eja-UPPgUpBb{J%j4 z;D3Moe*mdw9zcK|^GeHS#Fw!ml7h@sd7f#EnH6rfQP>*#wFd4;NIP+dIi(B;&TB5Y z(Z`v7)}itiG@AX+zfuFTL|BltAfl&WExz2F!T~{q|bL zB~_5~l(pWbHqeg)6(Qbov|^^oHEp#!^dw+O8HUbl#B*;Ov4!lF;Ht|NkLG{+rAn zit+#9r+G+34%C3d6k!huD}b9=zd`-$Ed4Zb9vv-5+fwUV_{_e3sI_^;q(35$~O#p=|7}MtG z?rmyr=$2H_b@TdT7tl=wD{+#k_2rfQ&z>wfG9t+$3r*%Ve!3xg_e;HB zX4+VDUjcWG9AI$HuXlO3G6N3-VKZ!9h2OXyGnMw=?Px{7V`aqITrcl90=b)YEs)1$ ziUY)ojt~zF$jOWY-uK1)3s|81>nr|G3NR_OaWnR3z4=2{dB`vS6Qp7z5FET?OYV2M zbvqk+MsF932Rd$jTMtk#AtSL0tyfegfn)I519_Bj#%kr!p*!4GGau37fMVu5+&_NE+|9XD0ykVv3qAZT2kW=Y0B?hvykT!0- zQt_T=R|TThtHZ7cg&0PoS$;#gCWmNG<7zvP5pd?20R|?P%8kMG_C8;qui~hY-C(?WgrbYf@$%ge zAlyQtYv=DU)NCx8{7%Dw=G*cfz(c4QxyBUjw`K{LtdAy&S8S_c!2Q9m^&h{qJF*+s zj(_Tsf1{njEnpBfysM#d;0krNKyEB+VRfKnH}{@hS!k>XsW%-{>Ey5uBCnCwcbuBj z?RWRjPFb7Cex>@TvnHU60sF9SIBYqQ(v1^X=Kb+zX9GrEn1{IEOe?NX@cVtI1Lz26 z$?}?m)QWOgMrTOkP`iI$KD|3BKB?~8y7CXd$lu_5^^dDSCiMzv2;!G3(c$3uLl9NB zntk7;{*nj8-2hKvu0_Bw$TP1OZ^-T|wz2t~PT5+>-p>O>{FVl?R^Su0y(uDPms0(h zdqT!m#dqgm_x6r4_9Q=tQFVK@X`Dax5wmp7u%b%7s?CK172xfqdw`ZTcKvOptB@nZ z4lb=BUJ2L51kPWRlSOt4udCceT!9RPS(HRc6-ERlyZ3yd@800I_NdZt!pF++89A0}f< zzspm2i+-raqxaU+2oEX*@_4xw2u!z`)YBk=h2@EL9#<^WVvL)#SBUy{WlsZ4{Vv1= zclNxo>HfHi)%{C-58`Nf_0#iKGVy?_A!5&)?jE;6i}f5r9^auuErP`x*VlV@OEjT; z?h2}Gn*1pkZ(-uUElr0cD#26<_w|AEdx6p)gtiUc&gQAVYo?1I6+LcBp>3MJ#=Z)_m&EzqE|*iwns4lAV$W@Ls6`Lov>w<_k6_je0B| z9lqF2I0r_E_2Db`w<#%Dn{uRx&1rOqf>~XNzcaczn`G{vEri_h9txf0=0`n2>3c|I zu=X{7DOi>CU*`I70v?w92dV{UR3v4fzSe;*o-)!s;YRYhWnBS1a8H*`a44uKMGhz+ zW}f@|WC3g~pHmL*5zdo}pX9=EoO@gQXgu}izc$S^AK{NQc*R)b z7>@mte@pO2qS~@k67;s&V`-IP_W*6H--_nR>2Kg1;havz;Xm6xpf(I9X?>D**AhR3!1{`;`36j zQC`7!{98mA>xCS) zri(t>V=;M%G)2H6}6#>mDElJHNT9OOQ=!8ysji2gSLej{jr<9`Bw(~ba zF=*9ns&dX2j)zXvzsubWx{mHw{5;wHs5)v{l2-cm%gBA!xxRUrC^LnbwC_#I}+KhEbj8en(l#?$t-1_EyijVXvoLtC%f^g zSrd#w*zU{E>6FTAb6vCxCF*PR3>6KU^4kx;J&zE(x@I9?YIH^9emrDr6#R?MBCCOj zdmrZ2hI_?Y^V1&rCb+uty-@J%saL2IhsQPkCyuYDEM3INSbbDtzB_6NYBC4%728*( z3HQLb#I~yAx{y86Q?9G)%_*q+g5b&BFO-wR3-c3boQ87-ewaMyjW=n1QnPVe=vsmC zcHUHP#JJ@I?G`DSr1zv%cC%%T;{EAte(Jk>S$lTr zNY@!)=@Gzn50=2VaV%h`F^fsSlS_020y9Z&@sF zLiVo;HJC^Efb~m5J+fz%sikGr{^;Ry3xm!@osp9@jluWd4P9;gfqck~5{g}C={|U{ z>V#iT%ntSA?X$a~+1polv)%W-ce?ciSV^m2l|lD*tTubE00b9*e^Ibgf2Kb5gIYi0 zliwQ39QPHc$8eBmgHZZZCuXKRtqhkc64KyPsM5R%OIqnVGi$a6Gf>maSFhN@C)1!) zFV{ZtUX{Bt=(8cNwPwKx|1Iush&dc(k8FMr`Hq4NW7_-cr=R5IFEkF0Q!>@Q-V5CK z%ir+f2<=MYl(v<2mG+em?H~V`bc@ZRX%gzw0C}HcE`TPZvq8G1(Q){VZ=Psq>s|bI z^WEZyKKC$LFFfhLF?}#1Jw)U(282mJS$mjj2ABY!SA@55r%l$S&UXH=agp9HgIWf43aWzcO zW*=8Ey4%0b6H}gh)2xYg3G{!@0Lus+#MZ1e^iL{~M3C$R5aZ=lycc>;qno}wVxPUM z|9&0I?$d{$x~*XFLQ^x;v6useL6J`DC?*jie1Epf=n3M7-e-S(lWS6!r%wv=2MnI8 zeR_^2w_(CacpCoB(thD#!R4D3r7|B4LaTGc%iA<^V_&*-K(nA?H2!`bEt?LbkjCJO zof6A~5Bg8kZTe3Ixkhch?_SQo@_thqMJksnlO(K@JCM#|(w|wn4#H{236ox^u&TC7 zmPptdFjw2o$k!`2- zQ`S^-%aZJlxg(S7UT%rLpB&2R&p7Xj${vhu7^!U2c}T(lg8Jh>0IRryV4UB5g zhl^}!vvrIvz_<4t*4eFD?;Dm^!1-);{evd$twwG&Ezry^YbxC6pdl(%;E(bhgo&4H zCB{Jk2bTvabs5Y^ET}*_nn2=z2L#YksR=p7gz!pAicpx@=zSo8T-JzLA>Mvwa&FA# z(Ax$3p86XWtE&G;(^W7;)plD1k&-S&5Rh&G=?0Moi5a@PyHf-y3F!uroPnXck?tD0 zk?t;md+`14`2#ag>{x5By&uSP>I~eX)DmPRJm_aW(%v2LX1*veP|xe zantuoUPeP9DZEYH4tDNr6zEQw#9Z^L*5T$Q2h^Bbk7VL`>D+DvqVU@ z+z^RMIPW)3qPUqM3>SIl%>Ivv0r%TJ=Z={HPKYp2AO zaCeRd^pc5NkPtLS`+Zl)&a#Rt_FGC5m$)M5K~rW1?ArCu%ShSbY-OpDv29~wdD0Q; zEPUc%hdV%R1D!=SJ(CZlk64ewtyry@H`O=3L4{qhL>PMGUS-K$d)+ET1qxwR z#kSsiDiyqx5fhD1LEOFrJgV+Y9C6Urr(v(~N-+abBzx<(o(;wS^S^nY+HO5&)!#{e zUyj}*4i2EPWqL^KHX|6lmNUgE3y{kVqTi|H24*NUCw!7Ee#h?MB`fEmDCMGQFT2CQ z6=Rd2uC2qXxdTvz=n=~lW?^n5k1UH*rE%IX&6+s!qH|im>|F~QI(#$bf#LpnHj`4$ z1oWW)g1j)AU+egq_L@H~z8dnXe$U1I4fj zz<|I{WLJzhn#gZpUPkj7>MvdF3YL60_V{*Lh{%QE)&OhRT|6)o)=I3;m>-r zu*NTaGlYeR2a9@5sf?@AgKDnNr@yk@ON zlu5u$+M40uU#i0xxZz!e{N=l9+&5XnT#mHS-RXVAGDEv@Z9BD;l4$9piDoLjt8 zN5qA;^eqMJV{z)P6Qe>z9>4=qXaXld1~h2B`wD}IH6Nn)ssp$dUPkfj)67bkQi-Gf zK}p#;wKulO`_QcqEcGI9NiJc95Y@`#KVs?Du;94*5lAu7hRe2Jr46 zCQxMKXZdvwIg7ttD(!Vz8r*m~tm;uW?$n)olP#=|Y^~9nQ;@hykBnSbd=(-(GdQhj zN-*=2^H$C^*6i1?t_ipOEn}e5POnlg#yhKD8q$5(O)u#23ApLrMdQ`%V)KODy7(=@0t*?_!1&w;^?!nQ&+N!>PBgeqXU z!Ig|g&W@A8&%erLko1Sp=t5jm=0a%gbg9QnQjNjJ&Mbm$gL}sBz4V&iD0$38e%Yd} zRB0eG<$a~Wy<45zC!f=lA%?>WbU7vFZ(BCOSTeUtPQ zIwVXiD5La+=MBg|=66mQ{}QpRmeFD_LW3NJc)mp2O0`}&a_(X@`+RymQP=yv0VXwp zKk<*E;IAoFHl_xU{O_AZbV0#=p~h(fDc78|&vfWdK3(*zz~IL2W%+H)riF^PT>Ufs z+=RiUB<-m?-$O9s6eMdoQ5P5x<@ZrNvH=|tj3KS=f9ad3M>?T|Dv`d@879Y!8x{}E zvo3PKHv4henS(1Qs?$fe``n#I6GL5QCuh8rb+-Rg4M%|{JPd61x}RAcE~|=P!Dt~~ z^XWZ%feHmR6%&L|HU60F1P`<5f{t-}}83m{ID!6dXUZ@_PS zR%a`+246EiJQybphql*E>1dR#wP%A+ep&u$FetZsl3xR$Yu;e=iu{)_5n;6c5IGHF zMLiz-JBCE8OaU?V{)ojxjrHerI!s!$xN`h4MH~VN=vd6(e4Zg3TlFh;!4nbSY^LMH z6~Qs30HoDuyE?HVLA$v@pj#2Oa1hdAv(UTNt3AujENM}kzSWc7l}JV5Hzbr;sv(p6_35D*** z{6-{Qk*p^AR5MazuZY_C`p;O-z=(}j+@qKGT?baEP?NWMQL}u2BER+Y3pIRULHM@z zyzt2Sd~W8aIF`{)_}-bu`HkI})o!^@GpL_1LL~jNvq&kutuw)AGYHDR+MjM`3d8w8 zr#%~2vM&v;F@paQED7_;2tfWNL-eSRiRo8+Sri8MR4KN$a z%m>z@*{6xIqjX;Gwo-nwk$_qLIk+_)^-*5G-t26jG+nyuM=mDR$H0xkuc@0m*=lCU zdH18X5~nQJm2h6}wh{1F2KSo130-N{6ID@a_!(1pxC5l_DtKRu>D{unGoL?=+~7h+nJc9)yFK;&z!qo2 z&*_Pw)XfX~W!Mu&`@kz06X+fkkCNv< zdS3x!^C-uo8CglK92EW>X`jg+-vAypn=&HzXv&n)Od&zt`Xl5+=Zoo%5z{D>%pB~m zA$1_rH>DAe`JRx&uzFhi7bI$_FV)-0ASyg>+k0@-r5koVJRFU%`QzM`#~NM&CA2L! zj5F2i51`lulp6(Y_A$`#@CNjI6!E(7AV z_+=I2cn7e({3->UveYoBPifA)ub-U%g>UfEE1o8B13E6;O@Bn6HJ3@5rOpfELc3L$ znlD8aRtG-b5|Waf!!Hm{VM5-+gYBcL>l~P;*qA1k*hn(T^+CSqxJudw$3&!t9$3%G zYE2n|K@ybEnwrmmNAA^N&N|^*egEftPhZ zg_rM_GwNa`upgCQQZVZhc@z0{^L4Z4%dY{*0lszP4ywTnWDzLK;fo($4}d>yX}G?n zzKveqio~nvw##G_DN~L)7*8pBngPK`jL#7TC2_DEKB(QBG^7;0(8CiQiM-2~gpiXt z0yK#@?2hA{7(MhQexD{V_JMU-_@~GA0iFi!$}{zZQAQ$!?4dX^t|-Xa z$c%zfdN2wDU{C2jrDmGy3W4l&coGiBdJSx+bj@NnV!zRL#IA+MEzD%+4~rESc{|7N zwMlZr8v`$!1!9-GamIHy)XS#G^eSNu?hBJTDl@UWm+Hbql!Hr zj5@>6govXP?o-G}Y$RxOVs0K%JU=WQJTG3KPny@Cj+F-_46!g+exuZ5%EQ6kvu6Ai zy78ozWOgNK_2r-v970babvuGSSui}%5k)cT{Pp90$b&#$ue{2T>(=9@o8gp6j~m|^AbO_e%# z%WX2Ml)&M>XFG!_=iN=EJBx&vlEoune>#;u50R6-TmmQc8Ev{V1DsOv8()JYjtFz^ zMf&@pI5>r2{Wp;5Cx{w*(aAyrvscGs1X$oLZ0{sDrnL?-+2p`MBqzqJuY=9=dLxmD zQCP3eFR{nP5%%n#qy-TVm=xfc^NbOc+U*vpoKMsxis9w%0%!y>^wnqY@5eimC=3`9 zVM}@LJ(27(>YNhRdC-JOUzs48hVW1h8eQ8(g|9V71?>XZVUVVuchS>w>eaxe;q>L{ z%$5?w6T{N`z=v*!y=a=4RzgHSexAKJovz8#l8_wK>yI(`u$q;!T=2DcDldlOxO< z|GB=pCsoXJsW&t zYV-N$kbZ&16_Re5T&8}91K`oGQI|C)xDfLUz$_gCCEY{ZW&$F+C|&+v*B%VTU;eI! zE;0^_C`yo5`*G_|+@sYBur_>qNgOxh5LJhzxSCb#T>{zTiayH8C;i9F60H~{+@iSL zcqHe(YWW$XU4w$@)JW11IH>A2?W%nG4pqY~7Pgf3KC$7&a7`jC5k@!;TCScie9W)o z-wBV4(`X=ZTM0^V>3WA9AyxwqOm_kSf^nJpR1>1oxk3jx{p$f*!hwp+(ag}UJJC=L zZ&i!l!{6t|Hi($vOLUjBSK4l2@fDeAQ={`tEx9Apmqe%V&|DW1ngbr^Tf!qcKWx8N zhD~2Umg4c=Id`PwRpgK1J$V^)ja2{Db{Q!d^-`3}f?#hR6*12+xoIjPp194P(gM4m zzy4{%5TLl{8Xvk>xnUe@0+o%uxypn@Y%@c3Rs-RW?a2Tst}gnoomOjW8MzjUJtW?$Jc1-_e=9 zmlZHV^C&26(shoMQrB0=p24@#0EDz-Wia{HbEp5^PCuJa54COvQx%ggAA~4guD-)_ z$^+MWFhwvf)KyTGIu`9U6NB!)fFk4iBjFl+%z4e6_a=OgQj&|hKtIeEY%9COaYVI` zzw#_-QdYgbgw(l9g>WQZ2cU##ZFHpp)}0`5bRf=qqSZ$j-|-Ug#WRIsVL({L%NfIe z&>t1xe4zq(#6Pv{A3wTC0XRRUDMHQIqS>yCF(Z+i_9&5uD2T)RDTefk*UsFZfzzr{c&4 zeUYaSBZ`M@!{6{%mqyMwjTC>)rlCCgKTk4sm!n>?X2ytzLK90j{F@6{IRJcxhyHa2165Fab zkYvWpeQq!^>`8Y4G3h#zWvcF=GpG--8O^HUYta~G^ie&YlTsSrNSsVt3IV0c7Ig zv&Mj)M;wre;)oMOXaX;l3fi)hM83lu^q&y)a$DfZ8OA|UgKYq%D}hBe=z>8$cR0WW{;?Jk)0r+}ajQiog%96-uWWRzH2xY(kAg}Dfv~v(L04B#+XmrY> z&sHbqDD4vyhA{KhPjqlD8>wQCwEYg1!t!+u4|lBR9BhKOBd8@nW+AeV!c z_UKLm3k%nzSUj?sezlWZwb)OxYU~6`hA~GoRw{nhyj5i6Clyn_3|6+Y$(HKX6i*FL zQ@m;18V9EL7QJ_*A*3n&6}zro_<;r7YeqrgE9Tvd;aQ;Z~?54x4^6$mJ1Ag{jxrQvC0m5d!_1= z#f+;THp22>P@yIKCA-SmmGbIX6w4U!lH~ zu4YY7-n5wgX<2_JEPWf*B6+*ysbvi*sL)m1lcpA0B`M0hp~*iwr^~g~UYOj2xR4bU zG2&Mnf%xcT;yi-@g$llrYG1iDBY)F3bUgVTB^^h4ykBlZFgcG{iN6b(p81o7UkBvF zRQmP`c}*(|SGTDad4REYk+EdTUpL*o zvy^$DC9GdiI=#uhLaIPV=+7M~(3B(K%j?MDn!z2?@-meTg4~LxEw;>}Cjr3vTw&`P zmB%Nvn5g@K-i!SHm3s_O;s($PiqiN~8kLZ47z?XQR8(v*k}3ExPB@%GL{L8H8eRR4 z=!l8Z*wlJAi21CA;Bi<_H#g%x^Z-)}Ba^+Zxv_FMk(3XA17jeuuE-){V1h?q^UnOzT$aq~ zo zK&7{Qg`mKjX=2YTrKcfxcEA+s@TbvGhh)t$K)lSUmT?S^PFRQAKGshF?STnQ z@ui=)b{2gAc^G5q6uq!NZ(a;t)N19w@PvRZ-`oNI}RX2*a=OeR>0%t{ea;RI@_qNy-?aT9zBq zUVJ+G)h>V+?84=;%+9o9bzY8fna89k8|boe5~k4<&8%8JD4yu4KP98ieMbO{dWnEA z@4OHw3MZh`gy>#>^9Q<3cWZ4Bg*g8DmXiJ528PLi=1UrK;-e(l^5p0)c^LU3@|fNh z9|{(s=uRUcO&#_F>?PI}6(BQj{7dCq`+e+H*VSov5WDH_4~xC<5M`hbfuMw4H+n?w zE`M@`tOIYrd_0TA%yDZfIf^Z_J(H2_jsZ@qp(Yod zWdExm=Fwu;tg$$0XZHFU=G@hnm$rm;Ex_e=5V>wlN)3*Sd8%w5k~gb$gv*Di`xNin z|At%YIG29N%ZwYz0z?E+lx#sz+7QV>>aWT-0fNK<4J^!b^%Mwm%NhdVRaO#2wuKvik zY9A7?08%@WDqj)ICC|`ropckU_dUR|ogQ0~xSprSz6Z7~*Q+IkmTeGdAm*2V-CIOCXR4;X z7v1vmcvG1S%n@YW5spB9ml)@Co-fP(>rJm}(_2Zdd{?6)23>77g@c4CK1E}Q{-2R_ z`1o=~)udWqZ=Aef32l&S&{TZNpHk!TkUr+w+|Yg>W3gljQDrpP;zr8o7?9H?im|KVj<=3)w8!GpnnfAtp6_qd&b{0k0N5 z*k;WV8I|xGQ4V3(pQO?8WvA-Ys?(}U^D4g`caANJeONHUW@ zQAMZ!9AntBJU@{K?8)ZSvs@;7V1V1l;uqqHwq7YieqAldEceIB_`*6rik*t+qs_X4 zCxAqn%CQftQIUqLMf_Nv1C&U_`!{7Ag5H3SH2${dIFzD*{Wwx+Swc=8o4ev1hU>~( zf{J~;xc(4v#TB8zjG{>^dQhz3Z-mQO&b=Xn^rqH;@Mm?*QenF>zu3 zP1`8ic^aBR(X`0R4(%L$PH8!74g0z zQ}4<+ihhhX@vd21Y)(7aFgsdesc&68(v7o#$jC=)s!qo%;1f2M*Uoq&BLm~&!$ZUA zLuW)ki+xruqd-;3%j($K8ocAl68pZ!H)yVyfmG@#n5m5y>}<9m zXKFgC-M&KAq2%!NQ+K=Yd-!{I{hGBguS+kpRCc3av1rejdC3pE8)_&6gCpxa_!n*pknM{2VbDtw#ZWZ zL)ky>qN~;G`*~fV{qV&SK@6vFpMRlv1ogDg|W{zCo`f{p_-~4OyQDp!nLmKaMf(``sOC0m&0l^2RXkdm9Q8 z9Vo5q)Ggv^dEvar{<0!jH|n?R#VzO2 zd`DxIXHpX)#H=xl+L$`^m#{K8U0ThUxi+4~=#;LCTstKigGw+Iw=bj>U8lSzQ0gqV z4c@sgp6b+a?Un$InhNBMfLdH8%$16(Pp4UmNiwmRe1S6R7K|p`xNY}azTppodFfDK z+@bz84N=VIfVv|Q(?WwUiOt3ut?6X)R@i69s#}Nt5~tV_wFVh#P}phgi>py!ykjeQ zMcL@3eu!~VqV+{FY$QC=4_$Y0!b$CK^WO1y>`~K;KHpkI%|l;B zdcgqec=V^sF23>K3q0H8AGjV;U=oe}JCnr%^h8OD{Wm=2iA2NPjYHyT z;$B6pL8e@M_F-kz#z^;9`{vtMm2ZD75ARC0CSSZ4;yqJ3kJH2+!#01Ag@C&rc<#(w zlW*SNTTLzRxL13_@~|r-rF7`>~db=d$~Q(d%3Q@^s+t~zl?#0OMCgl`EMzF zei2mNUNyYB^^jopZSZWIlr5vO>6%0PMw>r=EEHnV*+TV!kt?p7bg)Ht)k@HsDOvX# zq}?8fm+A=HKV(#|)xsENv2D`bfKa(~X<<~1!ZS*cb-%%IdY>VX8`}QVxTCiZVOLBf z8qeP5JHKC5GRpZnVNcg28`%JEMKMBWWHlD&4@LBHntwqT*Ii6Tim_eGD^2*uo9qn^ zK(iC{@>^r+IE<^O8F0o8jfy8uS#iLVK5I(~Te6vccJ@Q$GJ*Y?t3pNvI~IyGq|U*z zh^`8{OnGai|Ei}sEFvQW*acQM*n!^HuxrSld(FK1&fuN>n0n3+w@j@Y#s|OVXGZ-^ z%S`cGK#^D3DXN9%<(Z4nkb8)bn7|np0|~U8FPE@x8R5xn7NO`<3Id24hqB|1dM^k> z4ru_JA<>OT5(fJu2o~|x)3{T9ao5xtGac2YR!BJvVgd{dkxXYZFGdco=2t!<}P|KO+IXESx9=3 z-n(`SB(Hql7LgK>g0ozFxx>@Jq2K+;A;g*l~+8=CR1jMvDE2N=&}Ll1%d-xOagP%)oJI5dvF2)C;+v4$dElIFE4hk-#L#_ zkJ%<@6wX`(H`%KfQpu~l3{5y&ftzB;9GIQV0{y>--#~ECxa{Jg!)Q$M%`5dw(dJDb zX|KvJrCeDwbuDp5U&^iCESs;W%_1|$?tk&)TqQhoODALDQ=NB+e)b#~wc8MkpJ5io zris($G)+{pr+Mv*Aq)foC^OsQjx`IUq#(xDo1WUPmLSn6p-96)7O%Ndx98FP3**Uh zrAW_%;GMV1KpWXzt}Ivre-5g-h^1Lh6v!Yo57o-c$Y$T+19o16seKTU!3M6pXl1oz znwsi=;U*`R^aWaxKM#Ttxj>wPM+p%MB|lnwZ^+pD8V&>sgoG=O3H-nxGa6M`CK*p- zolbNnn2rAuAFs;a`7&rWKZ~K0{6S-XbE-xxG!#h^5wF; zYho+bFUq-J)K5p$`D1x!Xyd#@IDQ4C?-AE5Zr%pT-R=51^I)0r6@TKG)~8y8uTQ2o zM%tM%9~r`7ieYzclcoY%Zf`qRZUH5&kb$9QFlhE~*Z!Z2SK61NrNtyN+$j1+M|JGH z!~QkLkf1Xl{I8?WVO@%jFk}7n(&c>AiT;|4zFXJ&-_^Egb1~m)vZ1;Rqhli1v6Y%q z00Vpco~3)oy19r)I-yYGbGYHt{`S+HEX(=3J+ki{l{>(#)J!Q6}RtefO?0x#nWjoZu7C06}q>`#I;86pb@qNJ#32-i;E$?_~qLu;kjKFg*# zg?U}=H>_Wg;i25Ves^g)B@-vQHF%JaGDDot%-l_TYx`C>i+9l0#EzcE*OI%MU_a;9 z*t*c{ao> za@%yu;A4}oUO9_i7g=}2gFagVP__GYWmNr(4>pc@aJ%&uR&bcVi!IY3!@n%2HqKRw zFNz?({yY@gPwUy(0U~bWf8E--V_iK%_JMNGMt~?0Po|xLc#cUuqxm;qs>fQ>BzFw* zlRsgoPoh>G(fOf;swkq)SdIHP7P*8~Z2@Kj=d1VXD_-~9gr2+;Bzl%A2cyKN4zD}NnxMW{9Bg@citr%o9*f{U) zykg!hi%ZvBxZU7_0uXG)mS6p)zp^#~m17ZaIX%9O3jie|jJ_o@H!QEJxwO(NW^^kV zx<9TnsEy65PJPLPF0JYkld9PDdGTjnJ8pxlw&>6enn^K3?2?rFn|UebKSWV%@_+;- z#3&(PI5k0tj(UT9$H@@QMd?h1+c8?1r-*mbFSfGy-ZQAwi_}dwVtA>*2BzNR2kUHp zjsq|k+Yg|!GQ1^D9$mG`W*25<*Js7wxz=@r{|+%R#|5gqgv!(KId9mJJ*IBAD|KRkJ)CtTMVQdvK5qPq)6PWzsG$14+3;gA?X1+XykV>n#{O)V15S ze?sTKFa^O7C=hbG?&$B<#@}T0YNT8SHMw~Cv=<}~9_MrwjV<)F0lqE`cRk}Fovw3z z4VoBa!(>~S<2NATIH+c%Vw5~0ph^}1ZKdvtqLuUtFM|~jVNKJ^@~kX9Lj{zUF5W5KmtRy~f$hC=J0*8E z`aAF;7zPI^XI}OzFirQR^z64m@oLDPFXgetT91mit8vVUIN(-@OQDLSFU=L&mwqk8&wh%#D+X~2^Q z>ajW(hC_tlz`8W|)A})|x_8Z!9(r%KMbY>(co5Tc68uAHPA;Ty!v>ElV@Vb>#d^oA z+X*7{e)>Ke{xIuub}VZ(7?zXh+$iII!JD$n8rE8wAVSU5GV)Tb@rglTs8;xVF8^6g z^;2ugF?x5ZQ18_@AsJ%G_2wrHZ*#7UW$o&~4|bcH8W#nY_G=zj6gFcvCHX(@<_d_} z;!l$O{{=L!7eq~v8r;j^keQXX*(nuWNCN_RA$dzz7?pNmQihU&fw?Q<{zki^hIpDL!=gZfB!sOWQ{y|Rzg;!gy2TP$ ztS#o#maN{^Pwz6B`h!pZM(0hnnth!rasCC#%hc24!s}rV@H^>>(7Q?3Z}$93^foj{ z&sq3dc`UOE%cMC(Ddf!oC@MAi~&rq=f4>jw&Dn!RQgKNvwNZw9FI z=j2R^Sz1cgvnq)~Yii7#G$QRDTfivFFy5AE$!aFx4zh-=d5Ftktfx-BxSb#LH*A{y zS|(`|>D7YsS1;ka5|uXcxI-?6EA7{jo||k|z;lWL`TkvMk5+Q&#ERa(3wTbi&0fA; z{_DloFL~%S0;~ps=r_cPcYa)Z=s=8t269om_!_o5%4Y)Sv)CxEAVgG0$aY&o)z4sH z%de%P^QcC|a_Mvw)=HX;hW6IMBQqyuxm7{&%L; z;*2$vAZyR*JEAxseMYbg$3Ob{0{QBW=7R4|4ps!ApZeNmC-O0mW zCGL@UdoFc{bJ*Qc3v!lX{as4M3SgKb?6Qh2*#!$!ZZEuugpl|df$ zf9sE6A~My#=6jBE0QgX^k;hl~#D2$(VWrBdX`ht6>&T;bp>;tm`#}}36z<^jhP}6> zTz}a4#U{`IA~W}XUBg;5D^ zbc9F*=*Adc0;aM7`cPL?i-*9?8U8*4jNp)uBVBcsAqE)1ml*?pw3{qm4)P5W(Vo~~ zT-tZDA5cCl7k^P(()dlzN~lCxGm3QeToeINM7RBJ&x5kK-n<7e2du#&P0f_>5L32( zK(Y2=);B55+Q8+FMl{F6}Z&E z8fb|;S`1aWyEE#6Ufl1Pn(+Oe&HJ=ZcG};G!tIPAmKoFR`$Nt?visR#4>8tg@t&&p zZADGofAw1RxI{pjR-*jc)#=M(93jSSm*DUuR}-hYN+IR#vBKKSN*7BESY||k3yB1Q^^B!Q2MT61Kw?{MCEgLBMh9hqK%V>||zVH5{Su0z~;32B+{oe@Uz(XNC)s+MKOVs{KCXt;%B_oWPfsXI-U^Um83?m@=j(3zJK!H7g74y8Ve~- z!g2mza_KS7=$;Z%gn+AhElOnEp*@+D8DHne{J{(V5#|HSWr8xtm)@(=euvn#M8MNT%`l@i2+7)#kBc zZ?s6+lij@39bPy9a}^t_pYBYr>v!`#(+D za5gt{sV(6p$8z+ki|yx39Llz=Zg5V2o4egcB-eSfp^}l#4vmenHdKtRaoPU1jL^^o zDk}K8o$ro&C7GcUQax=&!f+!00y8W{sWt676{3G+ZTL&Zc+y!PTdVWT38O_0>7Uj3 zYz0PeRJ+oc12AFkvI~QioD|>n=~6ivRi9RJJ~66j#3IS5RiDO!ie}AzKBnEbO#As? zuO6Jn1=DO1EJLwjBr>)`JcLT9m3=w>C24`qNDb%RyXE8NU)+rkUXA7hqiKL|p=&dp z1>H%hm=V5gj;SU%W$4UKZvUV{0yPIh4iKrEs++5fo_ELTU20C+zP9hc{%ru z5pVSVdxwe}FQc{zPF^gT82 z+OOGFO~1j-sZ|^Q_YW!ead+`M;6J_{pbUS(p_??Ag9 zj!q*=pG4$_Y_+xyXvnboOY5k8{WRr1gG+{&OQS(m^STZn$Eqntg6eVqbK7hjFNeuz zY>DCkQ~EyJ_4P;@3Aly`*!6fDOIWvUi?^(=i|GYBYI6Tl38xg7&lFd*&KuT_wI@(5 zHkgw~rAyQLLf6oYrrw^|b3O*2AvgRb-5Gju=)4Q*axWqOcTCxL^SQXWQ@XMcjY=y% zkyj`21l=T+zA2Nk$6m&mH`d0slaneX1p>DlbxFBpWFt8g_8B3?7ujNFdeJP`#u!Ns z-vv3{dYoV*DeXo%zq{&HxFA42n0tqEQ?oncuXIBP_@9jyERC)+)2z4C4*xC8{&H7W zq#Ur5@4(7Z8_)|%6F{dOC(jXL)Q$JN3|e+ax#g>_Q85V1!QNIW?@c$h>uIg!U(9iC zA=MtvpRDWUKqBY}l?dLjn30fjVsByAoe!?zjHg^nXiOKcU0`1QTN{D{KGeiTRSY$v z`h}|2{ao670N46^xAXFm+T-eX-={sdNSpf0GufD_-u853w6I?*TYkwNFVUNppLfRo z$2bD%fae8Qxm%9l&(^3CxEMi6SM{4G%!qIdwdJ4w+NL|P3~(KLo7HEE`g@+7PfVX+ zxGAkQ7C~m)#|Z4dYZ1gnkUTvQem>{rN2gY-ulYaRRT?ygRTIQt;kM#?=k2Wk+t z5{xYz-m~6?Xu#vH3TO3~d^9Yn112y6Ux0T<*U87=1hrP0KY7N3+jOtH3QVI>Fb+NE z9&Draga_SAT4LX#`jYl^MSP)Cs*O$Ku{bFI=q2EUc<&K^hrvuo`%UHmJ7LiOqrn5x ze}BFelVlqE5G4`wi40rYXHP0Ibr1yXWuy0;qDe*liwqIlouUPKf3se01KNcD;Em|m zo@GhBV)?I3*Soiwyax(a^lWZWn$@R_q5e7R$oeOMIk2CRz8!yl1$24=p92cC*t;)h z>6q{h`4ey09pQJnWoiGTi#DrYz~p#8Jp1WNs75Mhxw^CMfOC0d36ijS?VqN$3Wzd9*w zj~<`(eIt!S8tzxxXC)>l?y$o)v78TJj)$|EZwcA|*0PeqN$dKeOn8BpZ2hB%b}A8- zzNU_YKl>=!FP{r2Jj8uPGN2rQ>JJSF=XVn*EgkNT($A8YkiNg{u|-?;h3%nJVEd6qY)#! z!&jq66$9F&2C8dc>thj6_M6JfyOP7qIV_|HeY`l01mSzB^^dS&F#>28*Xw_m=`(U< z#5;l;?s$U7SrOt?#R-$w=z zl8FvZgoNw{&s=`JmpeHU*7r3=|9(cCzkZ0BzO;LA;_x(hbs#{eRJL^4D+|0*szY4>*AJv~+BfnOE+}PcD|YzJKHQI+0;u zm&9Z8*|XQo{dc%!VDHu|2O*Yc#Y)cza*t_z?GQhdufL3 zQ%!TF{|75MH&x6j3c`vCQ>ByB#!uU1os+haRu3^{rYeD2L?miMu(Nd!AQ*7<*C z>t|vED;)Q;@|(1|690E$Xw*$@psbsPtO3>Thf=KM{J%!mNe}`JB>z0rTs|&AY_p^> zFho77H1b!*9y*xiVRbt|3Qd3I^+P+3t~i|!D!p+uEogSfQA_9ZGWAn9`D2Cp;R!oc zR{owj2SMvMfKulZTYF0IlY>9U^uBIPm6rVXa^caS!` zCyH!6&22fTRKxu1b23=%f0?fpVcqua#Am(Y285~MA|xGQk8a8UWCX?_V9=|QMe&n+jd};g73#)mP;WODKrY&cB zj~<}Ki&kS?|Ng@xn0js5;24|}BD7lVEo3dTU8YIc`~rM{ia$I$i!CLnKqrSmSd9?Y zen$Oov4sd}7;CfLhZ<2QS>bWwg#iU0-n%lfRY41S8c zlm$;IUaRK(`^v#^iYh)qY<+mxR+ks^+y9vh%X}B{Ny9fQAk(Ue^d56Xewq95Oti~x zrm1l*EOHie&Huw}7{vAx*0Hbhkx`sC8HSO}}>OM!+C- z=8{cYZulFs{Vtu5Mao$%iWnTRi>NX-2)_yHJ-%u5djG=d?sU z9d^>KcMHKFDdPj)I%q>!QcubMFpMZdxkJuJ;?P({SB)un&5F%y3vBW;z(ob&Uxp(3^X1nw zIw5Ge0^k{vSC#605KNKqNtF;#H$f2(GlPiB;n2rdH!o?y1RerTfi|yCVKu~w*cjV; zSs6`B>&|-sXe?biGnNuzs+Is(%#vZHCcmNuQT_HrBb$M&d|#Vb*!m&!m)>5Y?7ut= zF}JgWz16sK^eLhyD+NE8?;=$2?N>zj>jYc=f#?HSRNfs5r3W$ngqu{apD^~DKO$Sq zxm^tnCa;kj3~8KPyUS*~nWP!b!{o@!Cf>pE*NZu;+((DQ)pFQGnI{bohpnF2Q;$d&E zE*9I##_H3J9#*-o&JOX6Da}rL>NMRkcwDfVZZi`!#I13&o@i189}#@M(s;)nEZ`uj zh=FZc^zXk?2J;afl#V+B`ZMrA`^iUwfz?WZ0@8M~)%B-$HJ8{snz6hp_W9f52bsjI zMdnC|3?Uj`F1CExB5X9Yjz9vnRW^9P2u~tq(C8JSn39PlH)T$=N*QoUcEr1lyVj?t zKie-ia}kkeIag`yp<2JnuhS4!l%P1ed?nf&n3F3mMp_g0d-IP?h;@Ifr3L(N5-sNJ z`jdj|rpEx}Li`k3Xd3+=W`d#1&)8Wg>D>f-V7d@#rYOus0u?Q(6J~;o?Qc$9X8W~< zQ;$ghT%z9})8p3#n%a-|aEnN?0gi2F6f`p7I_(#rj-(L&iXLlgcMcx?GI7`+0fNr` zQEv?^j8WE97SCTID4s7%OBxak49jOX9?MPq?>_{al_+ZqTWbws4%Ncjl@F(AVSc>;e zKBr(vT~uiXHWH%T+)#%GY6;CyYKuTXFi4*07tlr4mjYWo`Xv@;J!tKX$^MTVqDPsa zsu=<@h1V{s)uZU2KR9yk3dBoKEuHKs?Ks!ooh?8PS6o1fwCRrZBBkqn$wp4LsEL#qll z@6H{|uoEDA&EiN+uat7$vG_LoW_#1|*fx!6Vc}JXMD=v3QSy1dJRh0kbkl!rCIhHJ zBlG`RdSqvMcr_m8<7fW5z#&&VhYYO~{qKzZjY3UbjP4q_ody2Fkdm%WC)c;aSPYuf5(+0 zNlV3?FS!gsWSTRa33wD5K@p!;!X5m;l)3Zl3_z;|joo;f-vgv$>Kd9n^Hu4EK9J^T zWkhQ%n5aqB@3=7%?bk53+ckD~oTY6S5h}zu>s)M2eYESMRp}iPKIoUV;(iz1$6NLN z!4-Gm*(k3Wb;gaPr;I)YYfyJ&e39{(`g<(T!zdcGp1vS-~l8LwY@t zOJwYt8=EblExN;Vbr@s3Jp1`viLR#R1?h{!4Y^>ERC-qZJ|;e9NHVh(EYc^meufVJ z$-mU>8b(5-n?XoEUj(YGY=a;)LcWIqTK)dd|Fy z_AoH3w>X>~1UGmFV;Lj^P9jz*kjtML3a-Hk#2!{b8g-2C~e+;h6my9Ur$ zoU46iSf-%n-267%qM$FZ~?AS23s z@4fx}cFBk0n8%T!BY+5T$(q8*kA5>U$w^}o0~z9?@EN^l8gXyFW&FW@9Q8yM470R2`Gx#u{5 zt%0_0?`YlUd35gmt~Ia61l68&7&4y=)Q|e74$U zDP&H~fW2SJ?LEMbojp+1`*Z5|wyAl)C%+?IdJ)ffF1K2?p}^!2epd+^_6`{$C$P#SVjHFxm*FX5cXv%4Xn6ed!M}*ivF1k`+)){^5pRjzfrtATL>`e!phZ z^B*PITi2~0H0VeGcb>WE<>_LA=iFzJk~0Kc29UGxxU6;sah+O~%>n=c^rbqSg?coq zRxR;k+^1)I^9wfU-0Q#xG;qMMP);r#!^dY38R5<#+DLGwK1LSfHEJS&`&KkkyVfLo z_y{@5##~#DZ;MAEUGc3v9w+K*FY?#40-aCVbeaTTt?UP>2tI|5OpAJ@b186TpIDhC zXHS5%6vB;*Jm@4HILaU6WB@TzU780kQi2~v@HmEjFV!G{&9@?>UM{0&o3)>*K|3nBq8}Rrde+G4Ofs~Z@O0+=i?PTDg z%sJctlKQxwUO@L8$!%bLPB^>JlE5B;9|bOJSB3xTLU zsb-$pY68ZM;ZbkK^ut%Ytse@*>h>E*U!$mUy{t5n960E)`_(QngD>v~C$1Pa>lLN+ z%^~!d|DpLf7fk>cz{6)3%Eol2k^+0t|IVgwXm<1oN-FnLNZ>MNxwm&W{PO*DWHKA1 z+tqc5>T!PnE`!uP5C3p0uHp^oSIUh)f+w^^@^DG2K#S|3~G9A`!=6^I5bHcQV! z99|u~Y83M|r~G$BEypo(FxZX$8Xw(4S|I#ij6ngzTUr+aC^r-1tR_V=ErNoknV76?AwyRi@z)U8=rv@p} zE3tc)FoS{D!umGD;`2y8J3t#!kIV=V+f3OW=xdzDSJtQQ_EZOhlg0iQgicxzd9rQu zQCOuL%OJtGE1H58*p3_XYdj~TzW(IO#;D3L_m1@eTtx{tWrqXPDthODPFAeR+a}ke z4x!>8xMB19>z4@rRS6@^so+`hqXe~kykVoJRlvV6X$M2e#qO0ltNrzRWP~N z)7qLm%b$SP4p|g`;_}JXs|acUTcyJOQ#kS$;)XTO^vTy??YF!$)>);dL3-qN3gpBp zWgseF<>K;!8bm4;UDuXE=^CI@vQIyMbzQT6$9ZG9zWY7Y_44*fjH>iX?#wGo9OLdV2-4468q5%^K2=Pg5#zseL6^`gWcqdrlqJ+tbI`F zZ@i_w%D0^lG9d*_*@DhUac2|DZZW8X>@!!$Hf6ppK3c`x1u{a28DTEdOFSbIv^-a# zf;VFv@l{w8jQ>8~-L$FTRN7}To?SAwYldL&8e1BaKF#uBB&cJuao+2V6o(k8EUYX1 zm75@IQu{7z<(lQ?6bGFRf1G7Nl#kC@ji=7KplFV_DJ6rLR?PmhZ7-VyCE7w=(loZa z=aSk0$HS6Jdpms=tu44;VkxbGBV3N$21QZjURV)!nl#h!Ly*%*NUm{=g_k3$u)aC} zeDfHZ?h}lvYG@`RMBP|eh~yY#f(})Mgs6d#JE?;KmIY$B{m=RY96 zz8R_X*os_84oPzKj9Wp&0(z+Rz>?^{;)&|xq;Gx!m|H>#K`XI!Dzd%gceuY0FrtUY z#$kLF71(?jOsI*Hd79Pq9`C_JxmMkL`GTyIO?R%>MVjz|XOUv=D z*#jT3NEs%)gFnNN5EA&QiT)4NdC%QwHbIH9d4QH)i=*l?UAxzma~(Y&oFMw@tmp?& zpxM_HY30jg2R{j4%s7fw&BjuHF#hcaqk6}`Bxz>rX*+t^Ul0KEZ$AZ?F^t;*@< zP=Ma=udh;A^CQiJGu>#Nx9_L}kF}q*Ld4VkJp`DhV5Y0sL^mGe%^CANRxpYlF7?VO z$?BDtChgUgYssE&YwwaSC=wrORMDfUzuW>+>h%$ie)`s_Hfz>K^<)>VH~BRt;vRZGCTa8Vt3ml9{2mj70-uV zR90?gv>s!EK$4wZY)W|&wD*k!jjboB_sxTMM!EL-WzWz#P;oGMJ8*gi9W^7kibaDL zDFsBG07tYIf1-yM#Z~x7tKeYrrfk{$-7+sFsFLhM#=i+(F-)vn3im?U4=pAJ49|C6 z^cPy?f3F$4`3-+%GKCZupYkQMtS2(wj#Tg*JjX40*m?Y;HUHV3T>xBW@*Ach;!Jpd zE*@S>jtK6^jTe`I87&SL9%Y+BZ}UfYLM{?ip`kGvlx5t3@XyeK)A8|KtJr*bL{ohO zG%GqT;Xqm!oXJ6}`Hdhong;GlT3!GLxHOM%$;Jn+6zJf4vA3#O{dfwA3DO#Ja+ zbKLv#0g0(BI|PZ)eB?(ymf8%VfJdqnB8UcH^|@#Fs7pJbKJ)2hB!UnKSdDSlnmdpu zPnO!s{49&jozoL3jZ4A}%Xr58cz^2^KAo_+8t-W$K<84GAD-{l(0Ivb&ER==& z6M1j3#gYC-lJhqPm4nomK#WaucePq)Skc9>t>)hznwmehGt`rg2NNH@@vW8TssNSD zAuDR3_Ckm<-;DEkymkg4883IIGXG;}-<1}I&fjGd(AHO`F9auKY@Frjbakw&)2TV{ zb!BVq8FUu0&e&IXq9DH7o(Gfc=$)l8t-n#*$XimA!StMlvBI^-?xB!06G-0Iw%!~N z5J$5n&bfAgs}c< zqyIB}0KF)kMmJKrLhL7enyzt4&i?ZqeUp&pn@29+%-GgzbT8+Pvz;d74!b?)lgf1u z_V?=yUkXn!wd_5BNn-4GOh>iR{tI`5g=8yg?)J4iG#v^$t*z#uC5VvfWRK04H#(4q^UkFw7iSQg$LZ<5GU)_93KUJr&OaV)COAa_X^8Tz4zuA2LA3 zN`@_l)*=Sj@ROM%$(;=oX}hDZGtn*<4(9KUwZc^o4tJLOHBaG3=UN3_JOP4IZdhTq zlp^E(ub=+IrMxM);wxx*$d?%?Yvjq6%Yps=83fT)eV?UF?$dia`~rhJnHQbC{8=_B zYVaH4|NrL@XB#-V#*IJN36nER>r4LR9Yij6k~BqIO61ogFn`%XAeg3g{#^Biv!gDi z9p}>#$jm%IH2Ih%D0iR~)AU#K4ogMa)JIeLmJ`mw2UYOV4=s#dLI(fIxcJIYz+wnc zzW_}>827PzuXwxBnEd442pNAyyElp~iPv0rT)qGAs68a&%Qt2heBxgkO?fjgiaeb8 zg3#U0 zoLqec+!Z8a72NL#evQ?aK5u+aI;7}Jr8z{7bWi>*R%V7EjsNMw%*XneO7t+NzY-l0 zTY4ti&62N08>EZBgPico5E}7ub+LF%)z+W7(kwNd^f~$k5_H-><#Wy5t>7-}3&a1a z=xk7>)v{UA3hNhhb<#*SE0rUYNf4T_oW4 zKRFME>jWPs18o&+NA(MDR&2`DtEaLHP;o69Fhz1#@mP$B9U}nn#vCC(F{VXO=_hnzbbRl@dZM?U}U-TBIXdv`i zSkNfPOuWO4M}o2jJG5HSR)K4iUBg*Ya6z3Zr+oDbQ6KK3K>cLY*>xh$a!%l3S+;TbBLXj#_(cEn`lST zNSEyU2??l_hE!^H~x_rYS#W7QFlP)G5bnYsg=F8R$78_%wu z^R%lsvf*Pi^1KcKdgBpLWoeBiGr@}X8JIQC`yWAH{c(-As9 z*H$V50wA577kJEobp6!o)VY=I)}F+};O`Hus}q2?O&m$jc92}IMRfjkQPsl;$?;fE zWqmUIznzYFq)VU~$g=d{nBbsExy@w5Iu?}jF}P^z4+2?3&>qN5|5>jYqp z(CZoz`k(lyPf#wd5SUc{s+w$9tLSze25$TI3d8*8*Aoug1{WYGXK`$;7C@h02wTCX zA5V1m1%JQ?^xj<>pSUYR=^4(j6*WMfV--@Y`MF7MhMfAU+_}~3dnvYcpJJXr+w`Y8 zz#NcTi=ZP;g*BWPXuw=F_syZ1DmE!K^rCt!ggDF3SM}vy@Lro;_q?{>c7IU;+Mwcq`c7Nlo1o5|bNUToMwClv;Vz^U*)wk%WbKZI+w>1(M5`I0aXmUcfm z%DN7OCh97Y^bD9OrMFLP|6V1$d%>P?CB-0!#`m& z$FA%^Kf>tcY4L1ddG5x!NGPt0>jm8B$WGNzu|#P!e1J?-oHFOK44XoJu++>2Kq7|m zSI72K?QC9BA*t0GKgKJ#2N5d1+8;`~d+G%nvwS}Pu!v@DXwZ8;+n405ZIi8EF+{$W zs&Rcvd$e4+c(j-SZ$&#G<^k?-7*TN!n{9~kUp(aQzQ+spxqll>@Jc_ z0H$HYga!Fn z{M9-T)RCpj-SRphh0azcDD|5}&0G9+A?~5l`DiQqhE$Q@U+(f2sA0;t2HgQjT}9K# zu{4OUij5_a23I>1%O;SXn6?Vqm}zvH{CaXY0mCuOX% zoPh7=+*rCtUx<)Q5lv7M7_hQT-uO8gAPdgsASj3o1_NxTe2e)!EoIi*6a(}x+~-s; zTa?vr00;Li#HVYYp+T;l%P4pN{>SzR!?kV57g!y(S(Hut>RnQ~?6;@91Q9hck46^stk^{=YD6P87CsO*C z_?PZIJ2O{SZ$H;Ac-_*4r%hIeX?NzXO5ihv6$AmU9xSyD6^w8tB#Ymt3ZC13TTP{H3ppH6<8|f zN3x$XrQQD%F@47Pemix-HSmXnU_q82hobd4pj&f+^zgt1qV1lfFD1NtN``8#*;RL< z?(LshPeB;I4h)|$x;DRa^kBeu6Q`Kb1=VW$huKqn*j^H7pKXJH^E}6!zIlx;i^$Tl z%#x4D7QU3nDlL$n{zuP(4|wXuqMLKjVdi6DXumv~6XE2gS2VCya_zP8pgOiG+R|U| zy*@J`HxJ=IAJtaCj=zj3|p8TK@sz>gjqUQKVBG^N~IQ&XHX<{k#R zCFBXJSOeA%g^ssYQT@r7%%=Cd`&Mr(e|vW&KD6&qDdD1~AcldF9SaMfi@qKxJaN`< z$r;rjWD*W%qm<7CMR%>x*%P5_X~`z`GuNkcBDq9iiQ-;qr-ZVy8WKeLMHf3s`gqgp z_WBjoaS!e{SSYMR5^4L}`IG#gNYLF__juiRe|S;6i|IQjPq*?F6EdtNjE?&1P7MI# zfJi~YR&KdGJ;j8EXN_Yi1w+BChwEL72`)lglSS{sqvsf)2g`7&mSB-_l-AyZNQ*+| z9MiEhC{ls!<>zt6=mkd-M+kd@`AK(1G#qkWn9)zS6! zFMoj4Keom@?PDRYu*I?RdH&Hj%kBIKeP$t+FP=r1#%IkmijdNXZlNZY7;~Mx5i<_{ zIxF8!yT=dXa24Gf``_z?FRy*Mvs!bjU~~wPpTUQ!NoyzsmELBQ%^G`Wn=GQa?!a&-w3;q=wqET=0G!Pr+GAht+tl!LaQcRodmSu%C%n1&%RI2rNkFAzW5%1s$`gwWajP(Z?f$XeDp zMe)h35$ofXN&s2n-)@<9Ixp176#b^l){ESRreSt8SJ22L%%=CchU(H^ekd#&7~u@_ zsNgaYDUuY++>d&)Ii0&QtLA^ji-^kh5~N&3bzG>fBSFOl%`z1d47}v)u8JWBLP zIz*YcK%q4uUM|1`luoDYxChfI4+_qA`;99SHW9>P=g@~nz7-Bv23s2P`h*|nDU19% z;%>1G?@&wcOKa~mf@XbYHc)nPnk6?VX+J=snrl`yT0def=QvpWc|Kywc4j`C_dw^) zqlx5>6JW7gg{U#G*E8AiBC2Xn@^a!<*QZVyS;`xM1T<)wHb1W*gY|p()s4%4ma7=g z$QtjYyde+l;NkieD8F}UxTVj})F0RgVLbyFvw4C zPcYY@WZV;&7(B5J;6cUZgEBFUVNR;^t~VNC6SpAP65r(xf|5OW0J&1leSH*JC)xa? z7+W}s&rfc@68A+OJe}`}ZW9+Pm#s|c=>)~Juq{gPHaMuDkwkfh$^JuTNp8y)WO3` zI!O18yEDNRihuT;I>Z+>m8vj9FP2AXdOAA@_j%*x9eLErt{1n?wLt08!d#YVF-6Oj z|F>FjN?pRABJP_{7##1*A4Pb*b-us>EZ{hWQTbR{y5*`pe2F-c_SdJw=9eD|YU zYMAIZ47Q1B;Fe*YBS#e~af1vi{Bc?99xm;gVt~|aQk7;U75*rbCwh{ zHpN|$uKNKESCy%e7g62gBHQJZKc>`w0gozls#gBnAnnF$9#)SJxV3jD<=+SmsFdL_969n4G?TYi{B(BxL*e7syXh@2@>^T$8po zE!6}&5P2l?&bA4y#(rn=egUM#0?sbHpEYXQOocwb-uPTqu2Zbk4pflXQ#=$u#V1=e z6Cz#*PM6&f%`Be-l6u?G~lcmWdQh0>0^{EaoJ1SBHgWnE9qiobqTIB8zX}-#Bd|n%j`|0ohO@4u(GReRki|crnd}iyuxpqp4v^K3Z6LEo2VCYkq%us9jvi zh2ou-9P3S=RD0Jg|2Vhu3 zr!Emxa-Q0=DTo8JIKp=$ZSA~I9RdFeE%TbZ*extnTzC%@xi9D$B=b?v=WBl-dzCN5 zLmw_r6DABmO(h8K4)6xZ3A=v@-K#)H*%XW2Iet%(s%HKD#*<#7o?!lFR-fPT0%xLn zJi0IX;_=`4gGL1h*@IGMnUK@p?&4dA3bwpETE$-=>PoeRLY3H^a{~za<;9}SNOBCY%b4(Lx?Bw31WS>(SNiS#S0vBvJGN&o;Z?I(Gjd zN2BSe9b_9C(ABD&zjlJMjBh6yd3lDUGWPc6zf_mHC^zm%dq?IpG+*Ai!kotU&a4M^ z%v%EWqo0TRNnD|>@cF|nPsihOUcT&N3Q4^AE2A-|B;Q%IGSbmI_nL#_8#?Sc1HAic zJYxPF=lmSor^jJ+wlhfk=&uD1;uM%wc82~P1EU9yDQVLWHp|cCI|bzdH>v14BwaRb zsY9s@niFD!6r=&wQl_=wH5eIgcbN8Kau{W_4nuU2e=(Ml`Tg9mLXotr^ZMl2dWudF z(Ot}|fbeX9&gwLTeIk3)iQ_Y4mwKN_yqQV}onW@_LnxWFFqanlKMzOBPKZKf3)^PZ z=sCvXBl7kRckdQjhE=F<_%t=~rb0<<)nt|EFa{o|Mdo9E%q}GRbLb$osE3DSm`^Zn z$3kB)_WIJDvzURHuukFN=4+w;4G?uoHkp8);93Y$@ynMR-cEQiaSK>(-n~p9*;{4) zvTr02@jB&ccln|tPyZBNM{^<8$AY$Ep7B8dzTw-v{sNHF?0D6% zED;$`Uj(TsOsRtiN-AoQ%unKu|C8-!h+nmprfUC5par%96-Y<=z#{0I;t~2Dgf@}B zpq<$ur<2G%_(0ZMkpGM}Z>c=9w5U(~?YP|GZ?e|PQg#LNU5CAi)_%!T;XS;&y|^92 z_VsxaP2)d;7#Z_NB0quDz8E?+5+Y)jjC+QE&!PBqK`q@r5QWC41*uVW|Fnt{SNTeM zkyU3KqcO1i{iiaAikHQsF>(zl_`@|t*>0BNJlWK@Jg=Y%5^EY}{Lf{UGf2$>Do0d;X zIJ88f{d0u)oSc2!nkeo#!>(8bkt6w&uR2%w-!hBWjmcmt&tr6zzwhnJ$!5|@vq0x5 z@GFfCcO|H7H7@ArA<54sNCyVsEY53$pHw3H>O+CpLCv2|lvXf@%Xa^Y`@lU=D)}?w zm?}h$a({`z)dWhU53yb-b4ok9+dmbS5^>C4kqh5~bp!j1@N{X-}}1 zFz{ff_ma1Txr8MVu$1T#OzpXgAm*Wv*JQ!+qa>be_!IoH5k@7}%&pv;WGnXPKijg= zy`TIbx=N#o#{U^VcWQ6SH+*jJeMb__3&XLfrs%Ekw+g$rd^(R*U7`yM)lZONunoTc zhs7v=X3>!1xy?|^Y*&h-4#PjvG-FS`uTP#fuG&jwMK4s@)7^8rwr(3yVt!pCyG@04 zmLX1q-O`mRpka`FoMy8#1Kgwo4luk~t?!*P!6o?{hRtcJK=91q-@L*gl6rT9P2q!w46%{jI%U`QI8_kDH!GM;*ls_Wz|gg)b6I&XSvfbSL869&Wj{ z8foPdzovr`yamaRw5x`c;`(3?S)>x60trzcaxodMQaY^nx`OR~{NV87%p64WW8lY| zJ8JZNx%7f5|AjIydesoEok*+8_b8@`^5_ZW0`u8+UAMdB4Wk3bmAIA0&(m2_w z`uvhx`)NC@+mpFgzpLW(DbLIo%Jx9*Dr9Y^}?6J_n(K&4bLYR?w7v!-x z6j{hM%>*?T`c6&uu|3IzXSGYGn;yYLtA>z()kL6Ix@>E|qH;){b@==Ld zG<}OC^HJb*0*PP{$#*9jhGF0z#&Ons=A~cw0kGbG=1q)|@yZeF^@KQ4YSlLq@TZ&G z)ZwUOuP!IVU59`{H|OuKnY^FyKWS$O_3;|cHNvW^G-gDn3F6tb@Bt*f_bHhcSMUzj zOurn}bq)woCumA+{=zYl9DVG#6>v1mo=v8r`t zmE#eWys4il)CrEi6!h;%tuxcv;{8&=Ypw;3_Dypb9AW!83;sk9XcD#$#*@_oBNWbQ zgI}S-i9MLOxN@9O@;eY@y~6?m^8fr51cd_1_~bGG?Ek0Q=`ea|Kq+~Ov2H(@WpAPB zM+M4+oz_95pSMs|8;(~n0Lir0uhBw8Vb)_@%oo?S#5tCabJpgtOy(-8s_gdINX?D9 zi>P7bUBG~Nyf-b4Fd@!yrknsgduY#x_S)b%^6vd-BDuJ z2<-6LXD5^OUIzWm^7EQJi7?0H%%h^x>u2quyX(;x$m9KkX55UfLVVf&!wKQ*H)Txf z@2i*{R*%zvr2o3e$kqWeQ6MUKuT_R42r@ZMiY3j%w1 z#bYo|SyfHe^=l$?p7D$IfrX~T?ft!Rw{^1GHXGaq&_9JW-~nHL_nrV@#`I##o2LbP z|IN^ASPz2PCFna-MrW`uhE++c={#srjS258v1hsL8k||4wGYUB{Zn8KjdqS8n`20p z1dU9d!@}3zteHQsfOa<|%{&TNI@js6`s6n^3)(dEx?^W4!~sNF=y~34Z`41tv?i}n9z%|SHyEoQho(&q$g!{I%Bz>5* zxIO_zZ>v6HY76uT)DgM>=KtIsio!%4wv;CvsBZ}wvLIGqxWi4BPeM0aU@@o&4!03$H4id@Y z0Ep)u==Xvb1k9%rA-2$i^}UT%LB9u(4f&Dz7$L_Una(ra`#^S1X3p0(ogbqfTRdqp zR#XwsnY*``Nr6{iOWs_@M@f(#n3$7<6bFQm2S`31d|gmYOQ{!7ZwgwO`o|Tvvq(kr z^kmUMew# z@x#NdpoR**m8a>w58A%DCnYfzGr0=U@mM)mJlU97TCg0gV!FNF?G?a3wiKx&<=&^N zG9~xB!o5F8jZf#92ES;2XZCL|dRLP8+nP3=q>THx8cfhB+#l3WLqg8UZfURvtnho(uAwP4u$rfLUM+!Hx&-^!m8E8b zyz!%uKH1L(b}ZFr_h{ha7{M9fZrJB6-lsFPKUA2h}0u#I&VOl zQ$XVm2csbpi^I=(3I=ubXv6{ro{Bn^Lzt~0BC`>Rel7L!rLnd!%a5uve6QxXIA)q7 zlY~`WVgVF3C8DZ#vX>=MFLyg16%ik1z`hKK@v^HSD$h^91To&0$BhVnPdoJaf$R}C zC9qFh^pej_PLK7j_6W|OsmvSVA^l6^t7e@dZ$W!T19`vx?&k$hJPYo^FA$v)U+8N%U+9xfw;qb#Vy%wL}hMi(9ao=o?z?LHhP zXh^fnQEHe*w{~%bX)aF=9el8n%WKOVWj&-8$3{{6hcoFB^x>w8n)K~jevSF;_#^H( z8w@vlM=Y+IT8+g)uFj)QfD8k2o@&9OK9_?#5w~?@N=WSKT|C>Q1M9ZN#QeB}c2Y0~ z##U|ZR*}NvkcPCVoFaJHk5b_hnKt{o&#!Nhx*?)EBvY$xhV`w{& zTJy@z(!rNG|@Npw6Enh zuNvQ}%2l0y^8KizmqvaVxiV{YnL5&q<;!V?P2UCuPwUzFN0R*F8R(q0Q_(s6<}89n z6=dAlfG^S@|E|eIjrmPlOWV6>^Ud;WRU5*(hw7x8u#hDd6ThHxHBAUTy0LzqZoB$~ zqnofH4eYuE0tzcW^`ym_MmaigT z@c4J1vic2nla@*}^y{|v?yFEYPYbSn*bj&i_^EZt+8z}B&Pkti3QlCWi?>#7Ei-En za$LQRgrVwa)A(P+I}Dr#K0mth{HJx7!)c3Wv{RYap8Q=y-G?J+z9pw*FNt1Biv@=W z(sYYrzYJX^(KtQ{`F{0tb2O$uhwcDQS+ZDj>$bLqszKXQH zmrcaTaWqJ0Gp;#uIVka9J`+84g<+*honH#N9po`-cYhW|>3jRm>tzmNdv<@`N#1;O zevS&?$a?P%XUyQZo2UC>s4d@JgBQ%NtKFY|)g-M^E_O<$PVVSx+8aMcr&eOKgR1r=%QZe~xQt(mnkT%PsrxSYv3p>OG6cP#xSZuBqEe^G-M6!pGJptk3Evr-?{$S?w z)e8*(YPOcuJTp%^WhI>M}LbMa9T6NFL3g(fK@pJKQ{)@EQAH&@qF!e~+Rb=5y z?``Q`aQLul&1T1EQBii6Onp-{#k-_zE09g8rE#EXNYW^A?KlFK2|C--xIN5{XCm2M z!nYfvo*-e4%P=@u7y_2;cJvG~AauUqBH}s=cka~t{|ko7qML8iefQbJq@yY@`ipLB z%cmc z6XBuczlCZtX_U+O&kmCPjs0!0jEn(me`a@u1I5#)Z7Pk56_zlksszkAaL?Y)y)3wt zPzjM+vm%$M{l>a7NN}KPj0t(D2-|(Mr-?M$Nr<;VnzeptgE&QY5_ik-bx-YzUz~_} zXh-Mv==MHa!bxopgvX05#NySA+lQw6@Y6#%tuf5Y9$R8xRLOQvZ)(}u_M&shWF)-U zi#J+In_+5viyOG$+Itbk_kG&G>!}Hc&CZvUWfcYW%%pY17(^r_j63nIXNes3Q=d=p zF{y;nZv%^schu;PkfgtzK;>{gSqxy+v((y7m1=aVFFZ7w-`hX?n!`92U&=0!nq+So zbVFpQLop+*F~~$^{O~^LRChgV5WQkK^sVR-NwPFrf0x|&o0iPS`#mx;^xC<2gq+!P zCr=FMe@$gimKb-@(!HFf<{8Vhc>8yQ+ixLXLm4%~uZWSj$kUSf+6W)oaSF1@Vk}9} z7U^kxO?(DXFTgp(e=KA8N=P(T2S!jf`i`B~7areoqT9r{8Py@xh{C2Ov(tGbRO8Yc zPkmDvv^D!JxIfEg_sl^`a9`rUQ=Q54$dVhgVu49vT+$|v)~8KfX*ugWnL&^Jenq@{ z5(@EhWsG&w;lpM;jm-K6i$u#y`iAMWySl={88#j=;o~YUe_%UmA#lq2?9LvsWC3W* z*7ira9xiyp!|oB&A?x1`dKZ}W;3Wt!;X>hqUO>WjC}dX{N4WCxFRylNO5QVVOUj2s zF|GIva;JN0oQGcE8m(qCsJeMT`=ljNKYbk$_-!<1S5@Ebm;nYMnt2D&WTS)5po*H3 z+WRq8a`9oz0Jii=Nu=yUxvWm zr%k>+M#04u#t(!<4!r_{zUa!#Hop0J+AaG#Jn4ffyTyB4(Es_4}K!*Fi_mpCrJzV6}RGzS|!i-b(%ZU*UKLtnc zp1*|nZD@4;C*q0n9oU24T<~9h@3Gs~Co_+-D^}j27f!i(M}?DR*JJyy*w(Z{{n}BD zl}j4$R|8IRnpzO8Zlhp4It=cnuQM^K);C)tj;3Ts$s4l2YPUPLYUu_rD^*#nOF`k& zUjl{>lO6&Ec&L|#w^TcwRHbYV0V_#lB{XkQ0WFQ>9cU7%lVKPl>fg^4K&AV2<}>vN zF@8uE3qxPrpC@n8f`(UWbS4bp=Xyox$Z>N$e;W7NDw}(M?@gsOFiKfyxyA2ZjXlvv ze)4)!%o?pz{WNh&u(opM2xI=iyAeG~<}E0EM(Icu74H+rcPQ1Fs*n2RhqXFLbm^_| zOI91S2{(sCl>O1yxB-G8jjbb`RHF-g>q>YvYjpj7>rKc~MAWFb7UXWGj#SKjK zwrR45U6NgKVq_7ehAv^j3ry^x5kNd{=FxO&1oaq}mmY530 zN4tGXmb<-^2+H>z_FliYPdGaBy(>*-Is9d60^V8kRi7TYRM4YRF_KjrLQLSK3j|-> zy!FKY%d0GWWkfbDANORUG*0)+ylw#RsVWF^1~(pyItO*FYcWODDy_Rgy8_q&MXQr> z8xdaHEW0;Y>h`Nq6J~f`1McMW$lnd!^L$+`Wu0jQ7+`KD&=WzQ{vhi5@6{PddOJ2VVmLV0U*HYV zklB4(r6t(@1Bxbw{;hRWn~m)*Hdc(O6z2~V^j z{0(n@j_(ZsMkE?kI`G!P548X}iLbE#m}Ju)Aje=aid0W-o3ZXq(XRwVZKF5spIp8_ z>&5OSBe0}o*qhQ`sZ6f%SL-==iX++_X046e#D%ri3m>*FSZq)D2 zkk3P@bGSxry0u)lLaR2DwymmLr@D0yV)3iyU76vZhJ1u?j+IF`^ic~n8j{MeL#_kc zuZi?z1O9)JO5O~pj@nAfRcJ{(etb@(ue(Sj0!yYY?piR-Ip6d^p{TMVKIP!!YvbU0 zw1z{`U32rXAE~M6PR)~0`|c!UG6#7nZC__yBS1Z{2N@BNpUi(57v>mdvc0@jq_0jf zWbLQ1yfkK#OTZY4?#|`iX&_gypIDdhqT9yrlcIL8MYvouEn!iDI=*q6~<$h z+CCsd7JZShkrA=%p#oyUZo@RS^<$(7dsDIffj#-4#DMB)<7^ENJI?OQRE+Mz2&#Yp z!7!oIPT}2BO81o(pgbC3os&4ONX2(Cjov&Q=x!E6DKU%|h>H4Rq*im7j+rlYz;`yrR`ZH^_K#m6^L`N(zmReMxP_jZ2&1f~zyVLALV*ZeDXDem-r z#S10eTtmyFemD7omK_dDwr?M=U48sYeD`(}HT+Mr>yJfKuLMKF4ewY%@+h_2uvMiq zDpj=mV78@Kh&B<(KJ;2d6Pq)K3K7YE7SYSjGGe5v$QVs)u_kt=D$v<$6sV~uZK_jL?h1ZR5_vu;w|X^kW%nH=Q@|?BtclVlx)Jk&XCTu`BeIBB zzP6Sp(5G#>?eW|GVeng0G=lZi?9^YFhuPc%z?L{J8smH5Kr&qh~&9VaPxH!%*in(1hCZYI0 zPGs3t3Ar}$an$MSgtWr3TmxgFEu_W<1L)oZM7V#Lf)7`xgw+izi928YLOM;kYgZdP z2qd^5uY6`S8CXUR>EB*m`ah=Lf-B3eYa0awK^hSd>Fy9jItA&Di|%f?=bU#pO^J3 zY~Hm1sCjTH9dO4L;nM_+i$efrzzf%qdG=ri1-PAT!Bxz8V{t;Hcz04mxM6OcHRaS8 z9Q|l3MGfa*&ATt=Wu9)TjeV3Q_{(RmfcFqVUj%<#=ncF3#cmLp) zUfwi7LobcPe*aLC(||%fsXRJZ&oOv(&Q4A7cOip6D=iTxEX;p03j|uXsW0K8EDPP~ zH}yX6RX0o)Wu=qg?qN>DTNJm{l>(|X&eTj1qQQ_KiwexE;wa|lhqdL^F0L+GM;iXv zK$qBBssyXYQyA3Sk~``82M%F#j?<25ejVY}EgHy61EZRBIcXh|_p9dtc&J&_DFF%& zVAj=f1_9KeeIFA}8RVtS+GCh=xkpqHql*IfK9)VB`c=YTp$*3 z{yax^AxqXUrSmG|qou|QSn^H@2#ACJ!f@N19ukk?epmu1kl+w~8bjmxUx zOAPe9Cf>$Y)14>$8M$%8^TXTE#fA@qYqu4F82VBZs_?fJlVP`1Z*4?IJn;{Pan5H! zyjrxRCu6$4RF5I&0)^DA?nx_Ywd>H%=5L_NfjO#OvV_{dP7jlz>+VbU z#4ZxyHI)zehX3SBfmqXt4K9<|T~v%kEq)a7m6F^aE@(Cpf54|VB2Kqa_O9{1^l>X6 zUFa4ImlSr?8>MWM_vNrvtYtzA`e-(Ilanj5AS3#fTQ%@$(MTr&Q^DbdG@;S(+tG5p zHt}zU_-6r6_uY4et9!|3=xWn#u#;HOLa7ZRT8fG(=J%4R-5X-fYS>w%b#kP@ju=_H zWdh5*gof+()VD(;Tq{52s!#ITVm7hcWGz8mg=*bnJU9E>i2Jlb(=OSV{T`O=yL93` z-lK2GR$no&nfD|?wnEn9we)BLs-Xm=c4XkM&E9KGQ0&{ywFUPE_Ps<5YEEire2}X! zp*0!x$rKq-CsO78A;cLxxaJFc5l>EDAN#n5G@zX{^6{(4uYxF%lspX&0 z(U0lG&`QgN0jC+&yv@S&fk-ze9uroc@2d|cV!y1~fdzw0>8*sE9y=rb?IMg!VBpF> z={iZV+wbuvepz*z{LK>Z1{)wCybVK9Hi~lP1NQ^Uh+3dt&NuQ$`**4ajr)nmR=P=i zKgO03T%fT(+XXeane+T<(d8je)umT@iLk(a%zpv(^;1K-*8J?~vq4=cdt=6Y`i%P< z?d$wBvISZtFnIcOJdz7nk_x!Iki@^?0)r0=akicF1Uw<;3#jUwpmi3mh6^*)W|AjU zGssn_NYw4_v|*K<;vucc_P--%l`jfO2D*pwrJ=`vGU2VjDPd3LLq^WZPi@DQRo*_@ zVqCTwN|G@}TxP?16d_7Rdi68Y`c1XvgJBh~sTDXZG5Fvh;}2){dU39PS^4hf1jP7L z@22XrTjo6i2riCT*6W(4*)do9xHBd0c6? zU?T@x-G>j;>3FNYneWt*n!H!}mW1_Ni3Rr|(OUW3ik+ zMCgZc1nEB_p*>yqDiE;Qt4pOG_9!9Nh0y^}%ZR7rp=CMLOrsI`|zXUv+ zdp!(mGfzG2O>G7)0~^j)DB2wX-gg1-{<|!7ZC%(nVNhx1=qm0Obd+%VvzmmR`)LXd zuE>5O)t|xb6{fW!{5>yG1YA84$6NLY%(C)z!z^Z-`(q}gR-~6N z?ro9GPsy}Tv;lBR61x1ym~hyS_Jg7KpPw>}?rqf1jjPEsu#aN>U59KZxTLz~?&eZ9u9SPL*e@o|p#z{)F>PhPgz)dHfvHJwp$s zxf2p*QgtYFmLxY9sHxf_uYN`JWx?`UOErH`I9_ zR@D#;omFcwC?x#u;GD`a(~4gRPpt*|Q1FsU%2^?^3TDIYr#C*Rtj(Y;3kUd7uT%de<$p3@uXh>4ED$jM#ej1G>= z{dv>QW?!croLihWV()2LB6M?7J%3!taWGS~YtkHa3Tr?4Iwtz?7?|NQ6Y97s@W$%_ zu`sA?=TuYry45t~4&x4HaQ!PQCHp2onKHXq8nKY0?JYP)GA7LKofOLk2_CB`DwhjI zRv5`x(dopVGiB5Y#fUJ##WWLflffOh3u*RUl_O2Q7y=v12>%_!d&AMbhb^Y@xK815 z40PwjOSuAK17~FfCBC)txNU_-M=1&`xO;Cs7j=p2#|3rlo6FL9ju=FhMiFaHvPJqV zI--0F+9`zeW(Jmc{5hYsrO?GVx!~B%%>BWStTB=NIqhKa9scj@t`?`|ye* zUm>%mNPeO&Rq4!mDiXEn(xDEFWc*4c_@kDF*M7TK_mR`RNt>N}?8%>IDZ{k#?7;Tn zM5>e3Pwd`u^y|an;;DREgS`R5dq9Z?&c`bT_lii7k<$ce8h!I)S7{poj~1KXl26l* z(jmMeA52Fp+t;<57p zJ>A-aD+YbXJmy<}M^y#1;t=K!zYf=G8Ji2MwGANmrOD*>OI1)mLy9WX3>^FnxEsei zcn7@nCOXYo{wqB^@t$Gjt3U0R{Sa>^tU?&RW1`i5BQtlS(;K)EA!Wj$rBda!;;nKm zyGGUGGH%zhKB_b}v#EOa8x06;3_C7*mN(6IDs&KIoW>mNMCwc-!!P6PPP zHz%DV@e{o7!*g*?nh-2OENA^4ad!bS*v%i2$70J`w`bG+|8*%bn=W!*21a`N_vh4S z2;?g`03bYSc69Kh6|y(Q{N>~-dg`E0J8P|lL$k6txKCPpcoki)oYx2x(@oplDQzFl zBhULjjdw+zQeQN%4KR1cfSjT6@H%vIe4S5#W$GcCygMdK;!5&NpyroLGH&jClI4j_ zgYMGm<2!m%>k#Usc8HbE|4NpO&cSNMh(2&M5anG+qim&72$<-$^=vOI@gFo4Njh{(u$+1rdiv@JU~zelO_=A_ zl6$NhH`Z3s4L3Li$m~{=C8V1kq=jZM{uA;c?gmMt5dq0Xua;h*82-tpI$O;_yXdGn z!Bs!6_XEdg8wUX2+pTv&o|qNcMdyJflR{5d9o3kq&1cN++u4LP;$I#v1M5)q#{kVO zGK%_M;>&YPyr676r^9S((@>jo*!kjE;rmO+|rT-G561T z-oNR>KB#xa-{5|czvtzt(x7NRzNm_rObg1%zWads5i-L@rKpyLo77{@{~{_{v91nx z+6WdnO%gD-ZlLptNxKSIsf%18nB1|{U^ zo?ev1IoI37n*_{92UgD4YjrHjW^_ov@gl#RhFYjZ6=XB}zwY%ZGzlnVUByoS~$ za~9u|arn<|h#p`xue|3Uxs-bWp>7mH5LG@H~oF zbRsK!o;Vk19~t1!F6N}vFVnMt15*QY_WtdaJ}m-1Tge<=3jQc$(g}<8=@4rLZ*LB% z^dF8~7i?V$JQFpy5N_grUKK)055_aZ4ae<)?}$J9{rhrX?3UR!eeXi5O9b5DpS-t^ z|At)Z?<$A=&_3?)Y z%I8gT_swSRnFy+CT?=J3fxIk*iRu6tclono7#(DB-Lo)nv%FdAB8MG^xI|}>@h#X# zT<^u{>8?GP)*X8-2aadQl}J0u1Wb{(yY>-zDs_5gS@?QwyehG>k{U{2BR+}~TT)ek znRMyb{MVMpb7SP{-uYF9Cxs(0>!Es1Der$@l zR9a|IA}gbx9(s-Ojp=*H$@7UlsgB#)@2^_6!{9#}*nt!?g^_tq_O~5Gg=pH{SH_Zm zLUc=AJqpE6Z>@A4$0w~?#O)81K9qi8wLF3ppkBQP0LO+3KJeYeD)b;E~9LVg@(fHpf zM)k@yubJHIBsd53ss<~IkH{D-Z~(&K2OCs4siH=|V9ndDov&K{SJvl(9Tx|98DR$1 z;1UN3A~lnmTnyVn#pb{g2&c{b@J=*2H|Z9}gUcW!1r?u7P%RBV>MwEIw&M_-nThJD z-|9a7`wrs|B%EB+8RcpTu#ty2jpCTpQvr?%LJ#T8@n)0_hnIzDIu`I18~Xr- zUs{JgIYjSNj-2;N#U;n7*zebAJO#Sv;5CkgPm^x9t4#jq@hdInI9FbC!Sw$QZ>=D8 zRp(}VOp4G|h-aUvMrQoR1{K;nQ$FTf=i!Mu?^R9|KJ5;{s@k!=N~qNA0gE27WbLv# zxQLW>oVrfOo6(!S_Ppy*9z9-I-}(WNskkjcK)nL7rD8k;Z{VCjAZ0THq!F?jbxC2ArRMXIKxx^%FhBt`-XT;h%)cI z(g<{2Z-LTvz-Bfa`nGbSY&zo(*HaH|BlPe5(nUPuM0$w_Hm;Ir-|g8>6OH z?g#pJl5Gjh@Zmr(Vb~pR^9^wIG@zHrs3&Z8==r?k?#!T<|=0_c@~W&4dq2vYob;XohTh@=DDI z+cDW1@s?x+KXUpwJM;-JZE)|92i~&20pc~C2&p$eE{+LhOC6INyYg0U|70HZ1!7vp z!#a4Ddl30rz&^9CTpYpHbswutay6{_(f%2^D{4~VvYiIOOQ{nHA^%r%s)62X@(Km9 z&lrF>!`~OD?V$alVh`JJPuC?&&g)Ev7kmuh-r!-OqV3XE?5T{M8Pjm*%y$`m0h=<6 zRu?*_D)qsH24m8&*$O@;M9Rk@C`~+N)a{tKqaH5@>SM?TzWDAZ<5*t7iM-ixC|qX{ z)t1W-F=rv;e+|SVDG@fP;L4{u^4++bxlNgt-D+Lb=iew4z(77#+C#-o>>tiT^mm*`z=rgrOkNfLn|MO`R0Xl)4|=sJAI4*YZ4 zpSY$sZAVt2&-FU8`>%r3;q?Lq7@?+SM^5^Z4{l4>{^XAg3pga!Imif~y3gJ+bS!89 zX&bo6I(fIXsXHzXL*Eh_87u^QxAyzOU&lIlb~CRBthF>N@Pzf2pxBBGsF6?6PL)r& z-=!y9_j>9JOT!cz;X;=YLO6&2`DSe%mNp`H0LQ7&9w`jYw55UKEM>vjyN`bLmEr4ts(($oOqcoLs|g zH&`;rNbSRvHn&|A%b(G|MJ!|*m5Z?`r^Ws*jW6GAD3pEwoIz8q$8 zi7d(f@E4MOf-X)=aEOumAsRkP-h4-^25bY${CL5J+iH)Q)5}7Q>npiq-nCR}YoIV| zGoJ`hw`7#sqNsLN8KZ^m;0rQz3W9d_y zYFX`4U++4K1}n)w6q?Tz&#OY?1J|=!(w_H&TKVpeH=qw?9^2`zC*H6GYNLH`y6MtYKa0>G9u~s^ zo&rF*&)B^EQIrSGZOBt)NPT;a-Q{Yk#L_Lk$PV+J?_3UHMd&5^}Z>Gnj%(b za~0N19^Ix)n2|QJj}t2HpSPj_eVC9==plhIaFj$}m!@b5g2nuS2-Wevb02RS!CnkO zz$MD*+xJ2jSKUVJL#0?8r6b0P42iS4)9G&$=J~V`S^lgh<0j*0<@SxXb*Ul2;%g4S zrGQ);hc=neBDx{Q?s%)wO^(Y(BdV10#YuEGfEAxR)_n|$DYN}G0JX!<-fdBLpBRmw z{d~vI77HLsByUQBxIlD@WkYbf`;AIjc9E9O>w6!nZRZ^=ymRv#o6|zu3F*?CuA6mz`Y{LSz|sPwXe2`er*0HnkXn34m@e_)Z^zkJ8avY4<8F08A2-G8vuz zTx6gblE7g7=YEPXMjn3WSMRi(oL^cI)9kSv_Q<&wEpCV_kB^FtF-}HSFkiYOkfVPi zy2OZv6b(Jf)14}oM%a0PEaF7D@EsEh71iN0xX?;PKHilnH!#S#*8$|JQS%q9%!WWasLRzgNJ+|Rn_8I5k z^q#o6{m!IuJ3!vnv_)*V9N{bw3dM}+p!vC2V^J{Pjp@&)l8Atv-oJwF^2hJZOtoxz zTq$Ii&sxOz$Kck8elql(%teD_1tVY1kOd)i+WzD;nyC*`c)Bo<&R(lbX}5+Tf#o)+ z3gs&^d-}y)s<%U8J@Gh)G@&CoUT$1GpYJ<^79#UPZ0kL4zspan3mx98u_T*gx@`1% zZni|qyivlx!px z^j*lGRN|?9i7n5xLaXB|S~|TYY~b4CgJ+9%P~mNJvXHXahfvm}T&yt}7jH}lAcc=M zGgAMqe#fL)_9Zop?(YPUH^^2yX| z0TZ|hTz~nlV3G1aMYs(i)R~rPb9m{mfQxaP8Y;9OB;8LpF&~*rC=_*0?!DRW5ai~1 zTbt@_&NzW_jSLjau%!Yj4E>``N77nXEHB)@7tgE_SgGN4-1nOgNp4V$gCWfy^>OR) z**!x__a~rkJ^d~Wu4GP{%a_9(xqyc4Rc-(@>}B0wa^$lIVozt)aXbG*=hF5LgWfI78w(@S!RjZ6UP5S|ye&w4DP) zyg+Z{-eWN(?@feI8C>Md3UbXKPPQ zJ9~PzSoQeQ9CBhcb5Y9&IcUYeclX>&Dkpd`VeKVSM%ghGj{?PJw`X@F?7tR$*M>{_Jq0=vUaeGW)r6Yj#|%C7%2ya& zWK^3unh{XrsWf@XhxzvPopCLvW&-ipU7ck&K6K8ZOWd3<)cHpOahu31*o0B1x@jp4 z>~nSE;?oTpNykb;FeKKEAx}4caj66uSk&TsDBO#Fk{`RV(BgYk$i5+xGJk4F&}COI zzaqOY1h=bl){)e+F9;k}Og%jc@9h52>)Lv61S{XeF9H!UIw}DmWF7=O&Q+Iz-I#uod*HJu1#eCQLm;14k{MoMnY%Ktd zO5Ozc4_c0x?UIhy$EatAI;Da%C>FOgy9NMCz*ucXyQ;fOSkH)B++V{)p5FS?>|L2S zweKKw^xTu$?DVsEf1pE<+lVKuzNG>eJ^fwu2lVrEhe$RHVEXgzyDl^;xLf~4&NExW zQ}wy(Q?C5IcQ>k)S5VJ>H}<}-oU{hsD4 z_6`+7uEb3=S1G4eM$*ek9=N!cpx%qhPZ%2W3=JA|0gH-Vm64UK(Bj{#Gv?@yVkm8e zl#78U5i9~b7b>Vh_`OTH_q+uoFo$?hZwKlI-LRd>xw{4bpNRN zJb*3@46Z7m-dT=TsNSZg0o;)uXJbFf(>@pI$pHrc_gNEelb`%@Zi#kzAzhv+qC>~@P*4@NQ)B6d%^qkfkUet59TAWwy%Mp;<_?{+y15Xa7-{{Uxz3P0gG-x^F2kXeS zC|9RnPE%wlkXeGxK^u}zEuo#)&K7QZeB(0thz?Ov=4f0sS%1|KhZXEF^Yl~E>}4LlBL%{ zJYO`xNZdDbdQ+tuoUMK!MDi8WseCkOIsP@@ec9?A?8nLT%c}z~BD=xnTj8tZe=^UM zrN>uz(#lHi<3XugIAiNQ0v*#SP#s>fklhJ?g;MXQrjE8`8LEL1^a^L0n%POn(ZqBcvi( z3Y_2q@Z0N)wnMxPx%UO`1@HT`p1*~dzQM6XBM{Zd?TXKmKngOkxXrNObKoVz>A98!p$SW*>zdi`DB1saI*?faoyohxldzqw)0^urIPU)^-5Bi4z=1e>wQYb zb_RBUT<`-E?k$CSeu{dutAHqw|gSg*RADbeV?KsdACU9Hdp>RRi zC`8>Yy1oYQ86D0MBe;L8_QAK9BqCle{YP)ww#~nvV_iRS001Kkr`5#&-78}@K%ngk zDM9Itzb5gc>i~D_mIu3bYC$(XGY;4NuAfvmO>)tojEH2CZnU*4a#WPG# zch=t=w5@oN_O$qxTR2k>l2Hx2`=xH#Qv2mF*ZUMu9vRUf{Py?~6ulS`WaR3U+fuM4-d>~ob^HhPnLaT?n=|pa@u+wylyKA=}C~T%g zO@29402|fmi-sq6I8BYv5_9$H3!>>_5wC{pAc5)f|J_lknmfXlh4>1Fqfl2I8zvZl`jzJ>`bhOmwHtHu$d*1-AIr#H|kYZgekz(n&lrA|gZAlS98P zPIn|Zb9g(2mmf*NKD*C(o|^~B7&`5HfTz*2`j}Eh`2kH54nMRDCFc`Ow2I*>7_bB2 zkf`NBu6`7#T3!oMHXVYe-+MMWT#*bh9ZdN9$A1`H%Yg)kq8i{2F$t9q6|(|vWIMXo zOqf>q+X8FakRxvG2}>r6a)1!l6_CXR%rTMi-Cu{<;H58BXT{UStQVfSKUEF1NJGl! z8YAR}lhWn3E?DLlqd0qFRSIrL{`J?qaKJ`H$){GSWtpO?15q^m;S&X|p zD@K|H2)nXx(h?LrI8p?aHzdTJao*;On5ZXH`{or?77RqIY=djW>|+4loFdjxd8g11 z6(WD#Uq`7C_6WIzR=uD8f>O(DkU~-gWjTN#I`1yK>bpZa@`l^SS>KOa+(1GZzqW`e zM`?Ulep{%vNX5Fb@VcB^dxuuuu!QKqbNbsx3>DB`Y8X*l$FWlxCSvd%jSAcPMb(L}|*BpRkCKUQVd}z%cY+E$a zUBN-dv$2>VL=Ct`=j>RDmQ%8wQp2B25PDwJULvxKzlEGUxQT46TmcIgW}QdcXBTK= znM*2oIh&P^6ysZUOE8^#+!%IYdo7+GO*U@GoPG*YT1o8pH=`)G;I01WGJW#9es75U zaY$64^kl$bI(C1FpL&@arvo0M=|3UI)!5_|RQmU9n71WCfCW0i7tkYgm!ZPhdVzE& zes5dyl2{@V$BH~(aE*q!TeH3$pKpU%Lsi|D0~wr;?kHKEhWA0A&Dk+Q$vofftt*Lc zELAjlhc1RA2eQsGK(q>^yf7x8$(Xc2I8|E=5yNBq4=`ELUuI?u3?X1!7`B4- zRfpMCCn_yObTu&p5iDE8*mCYhokA#*i2PzN9geDuol52_fyCT;ax63hvYvdmbIBUl zkv)Q?DRU`vItJQ6!xWy|dm1Q2$hWFVxu`ov2g+P04JD7ImW%(94+#MqXL4B7n$Q)w z2&gh#kVC{@QMqbZl7UdKbbG?0A#vjk6wnb|Pox8yi6c{Y#BKuXUOAC1h-PSmejOzX zA-l_ln{^a={b@gjor=m|qgvofj74LF%@ls$a%|Ih!J1^RDA%u{=+2DuNN^`x@HD>U zjg}!1{0&VBs`nvXT3qfo!c1v?23gs%Y4wCKfqQP^U7=*kci@(x4ShXWP_z8qPH~~= z${P-l6|6yztXBIc29|~!j$)kuxEx=}u9u>RhpyDbLXe$eDIMbCx6xDF>D*&+_m@Y4 zA#6Se0`N-$3h-W#(v2rGX~oF~K0|DUdZ(iY<=+tI-KeglRhViOz^_A=OG>8?Yn-w|@nO9|A(qDW>mkS!{Ch z-Cl{AQs<9NFjP0Q%$@0HX#0$7!U*Lp2fELy9@?pu;`h#x-?hx!Rg#WQ`f^ZzX=2%% z`UQ9uKLPPQq(P(NRW9AvxUyg%3*8LSL%J#qdIB(DtI4xIiV_!75&x`JFy6SS3n-NI z!k8|=j@wO(Pkpsmtf3-rb2)2=B})JB)sg!eF??XQXb1lbpxS28sY*)nK7^IlulLX_ zkn1-8>$9fJ1w6oj(6PGYb(fVp?p7d0?X9Ws`=Zwo`T5^4JP0PKmI!JC`?3q#Jm>=@&$saM=8G?WZY>w7e;#%D!XU3xdRWfb$)gPIMt( z-n%Fd$^g0J=(PX{aUq4=VnV<>(8H-AWnM8^V^zYr^VwTZ*`>iOe+yQ8dy8zAQ7TOx zhXm6l((H06Q^0@L)O=y%Tj39zQELiAZ!uJr{(!v zy}D5Z(scF*^8L`~VeoaA=Xra1o4Y?8Mz0n#_yM$?jBoM`KW#P!k^Mh=>Wp*3`~r+I zbc_>tyFNVSw;i%wx`oMlqspUMk=?B!>-z(9^Cb20-L1W*^+!kkZLxQ+OHV-4G+SPg zWMJ!@#aARQ14{+mFYxBwbbv{qbci>&jUsH1A&Z>UvTJAv?(y`2FILv%LS3k=$f;L>X%~-Z{Vz2xT)BX_?32^qxbzYm21dtB zcGQ9?mp>uiQSqD4>58esfFgNCBck{Hap>3-Fb0GQZwkSU$zd!oxVRg|N)G>(6mW?| zpTwMV$1{Byz^)k zx$;-0;%WZtc`HWYoWs3iS?qA`?g+zBLUbihe^P@;|8Q~KqobQT;_TB=`-6Q2ZMS!6Ziw{3jl_H921ak4$BE)Alv$7k)6_QPKl0sl6PToS?EW8?tDGd1{Urz@7ruvC{Ii`{H+wm1D3=JKNF-#s0{6FO&8x{h}Ps5eJg*j|e z3aEV^)nBf<-3yp3@Ma{)ew`#y@Z`{#E>R5exWlh_S4VWac#G?Ed)~UVzIj>;IUUFF z&@tGmFIGz=yVBz<8mdzdxnjU*bfSp7={#Kke8|a-54DhTUM#D~$YVWtcdvR@^HS7p zy2%+FWH>b-#IN9M_GNMtZza`IgNt)9}szjq3qZ)5wDfY4&|sTJFvI-;fVTyZ|LIQr&W25b6;N z;Tr0g5kdWN^TbN)@_`ixAYDMim8DHkN_R}gbf2Ww|9b3=fnHa39VXG6%8kjxAGM;J zec0+zp>(1%Gu~#NP})`py(@=l&lSChW~8%1t)Uy zCD)DX*IPIBJj)#stLFA{R(w~qGG()q1(f23YGIrch@(jN1y|sPiZMjR_^PNgXK8<0 zD)k~bQ=+ZxnnLG&!4Zvv`>2z)Q}@&yDqJY%Rb4C%YpXmQGs~;f0i6M@?6~UAD#)xO z_WW~JW)sJ%sp}L*303V4&I3QM-Jp4`NbQMm8tI@PgZL2(~zI1wzJh>pwvD9RZ_HRlx*uG??S2Pb9 zJUl5EQ3<)jVYrd%_y)VKAB9CcAImJblFZQ4O$N@N`d*{e))wK4ePLRtfIgKu(^l9% z?>kBh+)Pasz6Cv;aa~j|LXx^WVviYHsf>Cg@cU8$S3BQcj1qE3A_tM?&jQ6k6#YX9 zs1LyCP-$k-etD$H%89*x#o{Ln&96GzK29a_vQ+P$^kbu2halnxqA5CbMFk78XhslJ z#NSgzSkE;k#Kn!PSv8Z1yG;YCK%rJEk03L|e`AjjUaRdFsLnv&O9ZW`0M3 zUrXJ8!nnbkuF;m0R-eN$O3Y!{CkWCjitTgwh8e6WZO+6Ndm{5% z9AGNGt;jP&dnX;B-uI$F(?5q}&2*YK?Jnx|c3Up-VG>4F34iJ7B`? zGzS})ijaD{*K%~F+M1x1c7-&nZqRQG=`8S*M!+h<%G(f_$pegC5fc<)=T_vpo&whTCo4$aTpAZ!RJO( zwdj7GX#I1`KlGWu3VSwK+KD0{snRo{SG9Pz2;z|K&~_aRd&FmdAbJ$4rKxI$ z_SQ}CeX>CkLk3rp8O-JzESih zTL3dfgoywPep^WZq3-v=WDB#ra--@7y^%;Mj1hSYcNYx0Af_C%fs+Tay#lpYPDwXL zc{IspjZw~H=)3_x4*9jzV$T~GFigb@WOsMwCW(bdGB%PcDbt!P#hX-Wf#Hw0Su+0n zlA(R-+M@$x!eR`P8=nhvj)s)cGodBgOZ&T-H^YI^5W|ewxa`4e-Rv)IRLQp#K(2@d z=GfrSA!M*I0znD{xpTt`9)$0~&~AT>AC&=_gS>XK=ej|gE>%e&2%|z59=#MT=$(W6 znir}jxF$33vFU1`I-4m%FO6+Rzh_x+*Vz)^UY}eN88M0vW*pv|JWCwyhf0X6x3d@( z$Ht^yv*~WGW^gA&A`Dm=2oxRkoD`GHAwaIZHN7Sj=N@+0^^|wO|D*$9=C4tsie_BE zqRw@l2F7V36cH2z_0N=+eber`7Pwn_8L6OZ3q)+GQ_|Yyj_a2`4Bq&Jj%v!{zBRa@ zG)t^z#slyJt!ep&C}BKq|6lYHFE146{l>bm%M`XEwo$$N$lPEqOj4^ThghaUD=iU| z@}&*1wNR^PzLKA!(?yhB$2WQ@IWK!4@5D#D=}%59&1xxtcUm9$!1eSw+-<`o`DqCJ zZL`40xaRIP<6%n6B<$|>#{J616NfM{(4ojM&0viYVX|_`yQ>K>`~AO6vmYu$Zi0eY`S*afBXX z&(j^MxHiLlDc=hems|I2VaFMA@6(YBq4UvZ#Ta8YDZxOY!pW7Seh^EDO-6Zz?*B+2 zGV}`*N~q}Uxjd4@SZt9?s~QRjV)GL7TZ;$vEnRhEX*pqNHQ#N7q7DR2VVT%GBTb#I z_ZrV@rT^}XfUV~wUj#(>vrhZmm3UpOcme! zcHOVKPggud;flWFE>Xip(U%??RgUO4SEuSBbqn7)wmCmlRByS5k*9G;Tz5Tx%wNS$ zNmt)o^)!G|?RgJ1qiIWE#Hkn`pW+XGoB5NWL9kO)`qSi)lK$P-fE^fK!zF$P(SbNw z?~8S+$GR^~t}Vs4=C2II90A~8PwTQji=fDkL+6Jo9#`%crHz~TR*AnxVio$cGX+)mDQorgvNTvBn9F4kq; zwXX5(yJr!Glr@bZ0v1#t*mqi~{m9Dqw`RMEXpr~rWs(Q<_qD?2nqJMQgmaD27!4O; zh&ZZffIZ7mzosJ>pSC{f;n9CjwN=qJHoFc?edf1T}QKI3ko_6l~`N zDhl?UStE0!))4H+gjA#@)E`2N0wp+|gWxJtTRKVCs}BQiXK1$5Wzrk38}LxTsuT=Sw0ZZ= z@T-vwf&j`7|B8Qpl#q+J1b{D{F@&yw{2vKnyqO zs>RngzN^Bk;yi@Av12jksYx+=(RH(gp=$0x`5cF--@rVLG!0xj8T5{W=@V(Qi0;D1rvPz?H-6!~#6K|?<$2oxfQIsu((~Yv8sm_r?xuqreU&Gr6v<6WO6`~U+stIswf6aZ z&Juf9H;;pia`tYk3FpWI{$sHhkC>e#4F&GuSZFs~RiceF1(<&0F``2NJc0F)R9{>-(stp)x#k z->(#b-~E@2ybyk>LDlxTc}Ra2b)wzKzG5YpkT>=I=*|_xUPWmkbzTA@HY&md{YLvG;925bedtj%6 ze%A-h7lkr>B
j+;I7Ez>bRIXetm*kUahWmmxm-VbP)|LK7cGVcZvFSa-17yWp#ImCiVvEZUrhN@^;mQ*Dh>_Y)qHeZhzpX;H$Gx zt(CxHC#AwT0v>k$8+y2$KHHgEQ3pFsMc!E3s-k%`Xh#vZ9=>>3MfDr5zck{JdxSru z@-2iNlI|zJ9*HTO^&POFgkfMIubNncYsmoflA|Z7@=!j?~@`G zeA2($xsSPQS}s1}uJr#=?#N^kUZ_znb*xHrj}sFUQ;Mp+Y}1Q}Mr2!GV5xENdY1Ex zo_MN=Lfj4m9#SdBso9F>iV|AvU(F%(D|Zk^PAZ7eyH|NrOoHBZLeB&oG5D_L0f<8Q zc~;_g{+1Tk@m`4CcF0!u)=uX~kAxKTt8-EX+R|)Wj1LXrtvU;iUoU%%y2|xNyrOz@ zi?1_d+7MR%x{DBk=Y}(SlJzz>0_|1)=V?vOmeXSC zu?2vqLpTuBnQzd`@RY25JL)M>sv20fp(ZDjn1kN;C-Y@suhh0ODX()0%D$l)!y1$B zld1TAjiyC3;(6>e)p-oKxg+z$y)(wgu+~nhQEMUwYdIaN$ofi5{^JF^uI`lz?4B36|=N0 z8*A*#SS6A!UtIfAIR5iGo{OHC^g*R9@vxNYrp;dttx}@ewLg5}Tm*ttV0(}yhvSIr zmRRevsT7xh{^)K?{N`f39~XYyqRSXTbT<#e>abbG;vO(zX`L|zF&HX}bW@zV)q5FV z9lF(w&Wg8uJbS8Rsbt&xa%6Yp57D`j)?}d(n)-6g`j%8+;nc*w!z)u);@)Sjb;T7S zgn(F=0@Cb;o8*Ti{U)@xRRWz)keQgUjiUPXQ71Nqv8Lj6XeXkOyTwqLyXItQd5u6v{|fH zxQ@DL?S)nvPe(t!sx$x9^zmMuRgM(k$4k^1y=l;p+Xcd0P z;P*D&+Wc)t{Ed3{SZW9YYrbR-?ql(zB`JGs2|~j{QstnEIYq{-wp);g3p%UH!Ix3J z*+5beUJSTr3mqB4>QVEXZHDb}N7IbhwkXmrGvWr4~HVW*T^+AZtzH1ZEuPg$ z0A)lxXA-w(Xz=YKy`iumAs3H8_`Ld=&!KidXaCnxD zX~?|ipJbOC>;#rt|JA(%-M7hiV2pil!E%)3Mm|c-rAY!9H<$STH410k9y?4D|4wa{ zKp~Gh$ch=)6=>xX^RF$KcT3nyQm__ZuIs6F$Buk$_)WOkWCMaI_U))oSdr)4`GWiJKv*WkB*3$XFW3&)_ z*uD8JE*40{Q2U+13w{bAgLwz5}AIuIViL96pnt{eKT33o@Bf{CH9HfS9>kiW51~ku77blvGys1Q66k@ zk4tqh@${^&AvAvuTr|0q_asw`HS;BJg8vO+w!-Y`>qIqlKYQ%>{}J^S4pnW<+lMX* zk&u#*?oR3MJ{*w-r8}fKAWBJhBOQnCMvw++kVd+@^V{5efA9An?7h~knP;APW@h{Z zg`Bona|`#sW25>xbW9~o^i@b?98iBfi~r82YeW*Iz`z6?`hs(KU_FuXm1x^k zQ^`xCk0L7TqYj3>06(hr(yt1h2KV}~tkpNv-8cI0>C;j2g9Dq>@j9R?9^SHS=JZJC zCTiUM{KCKIJdA~JNy?SN1YJ>Z$(cO;CjIzdeqPLHpBHBJ})l%+-vU}|?`7N2ucHlq4PrQ29EhYPru z;eXFnx&yMFIY3QNC!+1`Ch>ekRjy17(ejHn_OD$r^Rzg5^Y`_S$P{|O!y`<;LVS?( zz3v5Q3m|q<4lz!}!rh2_xF+SiLl| zCG@!c-ArMD{%SYW+jYbz&g!KCJg15CQJOE5cuE|SkI{So=mt8wP^q`~iFl!1fHElgLcsB>|ObJ}V8 z_f(9;Xl#me=)xJGFbH|Tp?+?HU3WNPV4QgF&j(D8lq~_5F!Fdn0?5R3X9eMd&MC4P z=If*8vlGlKp5AQYLy!F%r)Qb0%Hjs9VhaS3mtPL>gYd(aDTh4$7&q}K`c*PnUkCmQ z%6!&%rfq#So}PBe2hZjG(RweTo}OBy8yNqlUe3vOy4;Z51#a+yN>t<;bz|uY$|$8{ zg=6G%ug4Xf+9~FKQQKgTanx8Z^Y>p#Gt~2seSD^KMzb~9)Kl?gNV(m?*f$^*NdhEV zO3$()o}gFs7x(g<&NaN)TR){}hQjGa)Lr{B0U;ie)X;{N2Iz|R&c3<^>6KCAh#Lhi zsW+A$mXIyZj6CMa<}Ufti5_<1J+KHd4;&V;=9i68U{LU7>)QnJuu2Np7~s~by)~uq zX@wV$U76Oc%_{DVNM{xp-~aMTtH!5vp0EaHXOz!80y5Q5VeFpXZX;2|m%Pi~r^?y! z$lepr)FThM=FmxTl;jXY1F0E*b!zCU%$m`gKrmi3_ZL7X?TM&NBR?TuE$zW!G*-v4 zUbT&nnKFRQ`tueJ=bNqEMe@A7L$g&)QAR-*9}+gkg$@SFKH*{+LDvELWHxyD9Wkt$ z=B6U=DwayW(Jbs+zi~qlCx49peEzvsEyx;ZAYZRYv5pW$^3QNz4aq`bH*vSuHnf{Cb%*;(EQW!`CW{mSjoCx#6u~HnR3e=0zB(rQGt~o%8F2 z0xVFE?oAVQ$E|S0+UMv^Ew4z5!L=xD%TnH%ex?G_N)I?E9?l!%#TR9b;XDj`2KFo5 zV?ydllE4Hq$0^rkpv=86!bZ}IY+`#-K_1ZSx@d4*1KSY1a%I@+Kn9-K%h5-=v7y-! zFiu~ZUtH)b+Et1-fxpA8j^L{-IE72uO6GG^B+-(8ljj4|Ojixk*RPhV3DULRB{9wu zhSwreC>dv~7Bp7%WGoM=9Z<+;oLSW~@dv{-7$T04wZ+92fZHbFT(JLzMxysb9&!Y@f5{@99tDCD+A*HoZqVX)tU{ z^Cdl9h^I`#2LKxtG~c?3waL)hs~!#Vw8Pc{Vy-$o-?l6MUBRp_Z#s+*s&jr==KL|k z8+*QNVykVxbHaHkg<~ny7FNI>Wxij(LV^Og*uU|~hOO32BYA*J<@ZMU;hHHBPv5q^ zeqsB0J4`sjR*9SP%6?bnSO2vls}n}N-qU!ZH5{lAMR~!Z3NPc>fSblQ(w_70hb|H& zo9@kE?J*Yrd3-1aK_Uj&%@R(p!aH}PZ-jd5>id^YH*9=){@2ZEZjpm=04nmVr3otC z3{^`VmifHsnwY&BZ@oL6NB($AieFqYoJEWT;rdYPzb#L*FqQ>3?6XV6x$IJ{`kx&` zM?=dwy>SdVerWJ_8xNsv0@JR>fVs@>X|T-$16d%nzf+-VL7DvvZ0rfetlpPm0B1LZ zsemWCDvsHghT6e^PAT+elV<8y5`iR=;U2qWHuH(L>uZ&F(q;Gda-+6*UmViSFx1zr z*3SSYr*Zl$SO4bzx4h7nK+}W@P^3T1v$g{yOIK$R0!zc=rw{Xd1(!V;sGLLL(MNGf z^u$|aI7a?+{RAiCWm}UK{K^|zj_ycU3*vno=|bC|kGpiys-Cc{-}fQvYp8tSsU>dS zT^p#4)w2^}S^_FtmH8kk5HNw)K>7!>Ug#Ipk~yij)d3k;K#q*cDhHTbtY8pui)W0{yZ@+s)bM@L2LBW$YB**UVW7?|ihN%M(X zS@GWQ@;Ab}V#b3tBC-84{ED}`b2^LmKWi)Mrd(ZJXKH=yKI^FAiR(NVv6P_7+5e~) zqyG^|fGRJC>W_mO2x6e7jEY(sJQs0ZKFSahXXszx>K|HPN`CUmSpH%(z+!&bx|Ozk z({Ak>1zQkd%?8hJS}AIXu)MGIeGgO5LTVbdEN4z0?B6j229eBhZ`yXBvqcuzZ+>s9 ziYc)$N<@NH_ccc^2QE2(EemgHBV4_$y=vCk}oF@HoC{y zdWB*uel(eV+ytku+-8JwT{ec8DmcwW#9O=)-)xE=QOogXgXYZ1yKnhJkvc5oLe)h`T%~v(N7OzT) zt4K4!&QlXtW)Sd!w7|gq3R|?rIOX#%=ObgLaP_zAXWpBLR*wY@rdB!ynA|2fu08$K zm+sc*``r$x-0(!j59cbWldwj=?c;r)aPfb2aSDgZ?9YmmiI#B+EvTm)>{VE0)*-yD+-T`mi;Z5czmEBq!qgy>Qn2!L5qx6Dq9APdQ zH_feT8b7+t2!)3nBCcXujZJ3!HhKSS9+8=BHYxm0Bp&ECpsOZUIXpuVWz zjd6#I8_UL{U9!AnD)GYQ9LTQqraix<08V6yvU(1@XZXiClad;8#4=KvD-s+aGs}YL01NKXha5dfWa7r41F`+=iHe0 zhin=F$Cmw}%BQI|2~i2K1#>xYBX7*@X6ih3$&T^DCueW^*!Q%Tjq&3J-#w2KCv|;d z>FE zi(WKmpeJ*`2JN83KX*vt+_xD>)2)}Zv)l+8#Z0B1$&PJfM%Oq!xye_p;v-GAR0>oP zZvlqI8!J|Fo{>veGf_Qjv95Z{0j%L3h#sNOS52m=v;O_@Vx9FtQf;He*>Yf4c8~YG zpk28&wT$?Zy~mzEDIT}W)l~<@B3eH#qMey;W~kH2M zq#=dL)ns@$jKJ4Jqve|wjt8aMIOWh)j&#ASzKGPt+AEZsP;t_78P+hY89XRX9&(_Mk{;T9SDnuKnLJL9Bn#4oVuejx86B_n^2Gv13 zZJj0(!6!s^KDRI;w20Dl-734|U%m`HO5GasoVY*gCD!N|{l!Zg$>&S<59(E+fo2<; zJY-x2Myqbk7W09AjQMPhZj*!S>v(Si6Q&j!4b#JJuA+bpG|`DDBEGl(3>s*<0t5UqL~k(0nAryq^i%z=x$9 z(>pGW(BL&-9Jmz{u}s}{?@roKiW==jaRaCg0M`K66g;*fN703Pn@O0gyM{8v?>J(t zeAId3+gPu4{v*ZvcwTTU1u7-W``O=7uqqg}HuSwUj#j1>3{SyF&RVF(G9vpnrl9Jx zlgvaq? zNH9T;vdgR1pcmP1@p~J~s>hVwMS!pRaje0nqp0T~AZM7wtc+utOZPFUnNYL;4-F6lxmhy*)!-_OXh9R4a#wLo3%O)&6dMkY>WmS3KBsz`37gA+bTTx3jt6icPrIG_L zb~?3E&|Epkdve!k3>C1^=RY;L^if!CD&@RXy6cOd*WrN&%W_V~8#9{fvzujU<<~Op zXgpH&PT$-u8xv6m(a@fFlNzRt6d=f;GxSKB-7Fj2k8Q-C!G*H_ufgvW8qhB}H;Pqo>cJJVmDBlG z{*6jKYR&L^v`>CcEB&`*kpwMMj8AcsehVbR5zgIhU-Wv(b@IGjS$n#CEZ6cs?D)|w zN+z~HomCKT88bkgQh$SfWs&ZQY!J@)z&}7Qwsbt8byRl7d0`uofD|7Ame40O3jlB`_1pva3+tVB(h;C zu;4L%RnKPVfrA*q84@5iJttu$+!V5_ng18ST&t4>zp3g=AMTXXULJ7(>#_@srYuNy z#*HHZuz=yEN*XU5`9rHGpq4E4`?h#;lxc$%^z9G8bMH&u$yDP5vCyz8p0a`3r?%nu-jEjtlIdQ zMpBOJdD=(C6L|3CU1UsAt+<;pg77s3B8&nJl4{qAsew-?+PaRbd(k18+j`E)Y0Yi+ z5&+YHUk_we;^q9-;N9I*v8ylD?Uv14B1;9yyUOjz!YoXzMQ+nDx0&G6(l`%l*U)O` zV6&vzVthb$B5M|=MuKr!{@#@x+q3%zJ+&@l4x7O~5;^K6zJr7vsNAZ#6!Zj*2Y=vS zXBEdO9O*OXc$^uA4bJ`4_e^YMTbTt6i{AaCb4X%p(;zIb=Nu{N9Qg+m*S@}zT|wz9 zTyXApDV|iN2x&7n=8fyQGslLihtYKWK1&-~MOW6H(^t8srHdj2Gi0E6Q~tJ+MOE)2 zggjI@&_N<-<-M?eiM0ee7)4KL)pGW%cYrxicRqxp4||-!cFIYX6cCA00WA)ue8 zABAUr^Fp4g_MV1ok(I7H{HZznHf-$`hn zxBdOXo1{K!FQuFhvHTpSzmk0MR`>50@2&y7)4u5PkvmdT=;F{t<~!NaPr^FQFb5M> zRCoe4YG&Tb$uRGa*33Ve$YR-NF(nK;2OtvgTNszK8>r?t%-|CfH<*=I{OJ*GgT9%4 zQItj%g${g{#%ga=X(McLN z=0Gk4ePbpc^by7UG>-`QMDy97YX;u0oV$%J0|;L&Qg{z|vK#~kYLl|V4aNqzavzg@ zOpR75z*3W(BdtLIO=?N-d?ao>NH`OjC^a#+qFn;kL>=TB?L-GmSw7au9dYqa*n@s1e%T)FaKWc^Vz7zhWR17})rKzi`;ADh z_9jGAD0)_byP<;6Zym~zkohz9HbTHcuo?}%yGWkcDcOBtSMJo^brz6lwl?fQWRCTT zh^xU*Q>Jj%#+ss075@Mdqp>)vtG%;Ssb3LB0Xc{W320V`7;xbuyxC$G;LyEnp$XhB z<^oemm2IRgwCm%;gMmOBd~}O-graGnGFeRrxD`}Ld+Xg&MM9Zp*nRaAXzue&>tykm zoP{*t3;}ESD-9E;kmVcH*`KLK653cTaf%41SKb$@3cSb@RK>^FqgyGhN%pTk&swy} zs?9L~YmrCy8g8E$gy!(zX+|zze=XjZokT4P976TjXHhCtEc_uh3hYQ6!8HeX6pD3>vkAMgz z-f_F)AJnDM(sYm=W_gH!t=_FYqgE{=$zpqokN7N4rMNeWiRB7D#aA3K`dA3LIe%C+ ztV@2Ehy9l08=_#pBRP6#F3YWk<3ra2N2~yyGV?m4_v>tYl!!EuxC|Gr@H8Jn{iiX> z&^LRH4%=^mN&P4TDgps)4Wu^ap)rf?LaFcgKg?H7x*q1&Cs~YTgr6VR+nXv?klY+? z-Yi_{(Ej2uL8>}dA*L<`1 zkNAeRK;}Lh1%qaWoc%aAx{2oQzQELpaQ_CAVOjQ;UqtNFPVdN=xI!T+841E>a%w3s zSf=uNAkqIxSn(<3%BJ*gKew}t^}b|JszD zWvN*HHz-n5rFUQvLidzAC)ul6P#Oad5Pbr$H&74CzQEyE{Qk8MVR>vrSjUB&hBHy% z5-`aIyMdsB6_e|khAI&6rMI+iK%)le2@$6KA98-gmt7mNBfpyiO9|>N$rk+)=8K!h zRMd|1T4NSUD@KP48`DzOm#036kPIs?!Cb`ne`IY8A=)%8!)+Ptg<6M3lWxd8oH1q z`o(O$l_|tRE3CX+8G3kg8u^;(1y!Wq6PAtw$$V8QJy62JaKXrnz%qaqpRxO6ih1Eq zx6$J+ck*4;mNXlMCme!&%#(^WR{1d?)(v zl-7qcmtHxIPt^h|gc3h5%Ldu+sMZo=PSwKw6M8`35mjzNS)fK?<`BcR;P6~6U0$Mg zsUT<6rp#9&ac>p`j-0zM(D=L`kQ?>W&P4DfDb#L=*8aBD06Ep|{ABaafbnAL_xPmx z$Q*c;D;5{l3a=Q*seyT>@b|}V)Cgk_+YEud?nPVbywo~H){Yn*jXNN zEf+5WoEY;W_2Mdnavwm7@f(W$u;DsUB<&{pfImwI6RgWrwP61k!&J|fTLdx@lK#-l5VDiz}f_xGU0U>!dQye zP3Nc7{0CaiKFo6<5aW-Vm0~y1L8gC>1xtuuvqGl(H~O7_#FI@Di&utQvSj;kg}-2d zQgzYLpqesKXA2qAhA0RaGzZ7j0Y8lxy}ayOz?fI^hH6BACMZGp7zbb9l}Fo(TWbm# zk@=lD5SpOQ?`?7Ddu3{xm8(L>F_Nf}iof(zq;;X0S=naczs&&a8M0gU$hPoE^!coM z$Z3fG%9uzTkG0E>u0G24?fUZ8G(6I9V2T+0t?#v0Y3zMlC9a1M2G;m9$@W!}+@BjC zm1llH&NBVfwW}2u1b8Kc~lolq>|Y}j5|Eo2GNI)BNND`NpZM|0}qvS{+!V~-x zfIv{SEq?nQaq%cAy6y|4pclFMrxI?1s ztU-b?<#my7KR6Rzg?*jS$3fh&$}gzN5;DYXgRiapRSqOL7AU}I7fDCr0UUTxgZwHp zNe6CLrw8^iwa>upUpN8^L~xYxHO--LEv34H7GcPokwFK=$^z~v zBpBp+6hhjQzsWwv**&d`w@2Kx@LoBW(N=bmdLDvE)`}dFKSi7jX~C8xk;Su45%?bO z_;Pv9v_%-5jZ^?=j!G{yKZt;jXtlsa9yu({6w!Aj=P{angE^b%h5bh+W#daYX&gRrnKmdmSu4{bmFl z4vpt_4g|s|FhmWEgUH;o1*qx?nWQ?KwARBv+)kL#>H~JJQe`@AK}})wZ}tm9<=YJQ z5eFnroY;AUX@rw@0nd$*KrE%5m_9E$SyOUD%Xgq0T zZMnT`ik4HNVc-{It5_rN$Tc`iqmq_}x!^Ig9WlB%%p0IHt~^xP|IPxX3`9GP?nML3 zN(m(`gwY?~Jl~k78bw;g{^%3I#g;2wdaOI?sI&7H{P0iVOvu6nWo>c>Zcd+x%v*kH zc?Dnxx@Z793@ST!IT@|ps%FFr^ZiZWhFByz-z?&t&Du{<8eFJe}2)5t+tx}S>3qYK#TeDgX6rTM906R5(wuv-nE*i z!`JID z0TN6oABvat@wTK-R6syhXmi3Sg(EB{ZPFcov#3;ivit)$1gGzLcO!S-6DgbsK%?Dw z%mj`;7qY5f7dv`1W54xfq*8ggFPic>$EEk_2`Te1Kv1TY6Q4le$uQuUHW{8`r__dAXr<(X(Z8)IyH7ARQOYG3t)^ZpCQz%9@$^(kY7!LT%e7s6_Hc7FU*{n zUqEi-yW(F}aDD;y4387iYIc>$>3M-9f`O{s@4LQKq!tSVP*X<0#l@zFF<;?{LCrn- ztWUzR6&sfnj8i%P(JaCW5ooQ-pe-0)eSq%n276urY%4XKbyXkUdxMsuZ;CkVd$(w3d@A4@8HfsKtTCq!k^-%<#DX;v`Ndw^mg7@^H?^?hTDndLYYp+xoY`GgkzxVrXqmZDE$-T-BlP{ z{utk)#LyM|#TV2o1TaxW7zGX(A#e(`Jnb=?L z<_5lBYYb(jo#rlM0T}fU3J3a`RqEpX(5WmpWkdB{OxJL1a?eYuL?!jm)opBdAg>aZ z#M|FElk4-Z%Tn$^l#6WUji^i-ma*Z}L$&n`Df3J&h;EpvnIhKf;3M3aJSa`(!=;`x zu@1jl-T7A&BolqIT6+-bS%q=mVFK<e1TBG4F|9cA8FPMavJKj4D!K}06-)5+riLz}@5cXMag`GGh z-ou$_@H_9jIVHBKNSNkQuSKu$mxm9DhmLxfN>i z=1|QR@+cco5T0X3WFGxkS6>~vxTN79VhQ>U&6BLeWoYZyAsLA(+l(DfR#LfQND%5~ zQ$q8s;-B`y2WB}-lx5}(hv%eRA2|rafkYFugp+-jT30JDOMvaNZCB)T^F6;OOt zv&Ut7{0BSVE9ACwCLc~jYKMp@*8;5=4T~i407tgydAUJ~3YR{hS7K+?N0OZ4)!^=N zt_fzwv1+i6xx>^kT~Sl5{~qbIfPBp6r~v?TSfi{&o{;)A(u06soGVmKma$76OYHPD zbF{NlY*L^~Z2sP~>55_Ie0WY}6z}j5_pL^tAp-=h9xTrILMZ!@H0!74IE2l9) z{#Kms|FmC<5hnZ?aok$pL$raiu1WYE2>sn=9JBFb9v;B`(HoKde^=&E4WWzrGSM#R zN-tgM({f?hqF|R8%S6)Svr2?2D@Ne+Q*40kCdy5lIXC`7*3z>CF`Z(ImN@Dv#!kEP~m zb7jyCr^GWfNHdiqa6{%lGp@GmlAm7>=`ZJeqwvK#{&f`grKBsrsx8X238eQs(gjM+ z3<62H#hih3T(8zio+PowJ2aA^wdDVYKS3SJjbH2yx{Nv0hs@ixZJx@wnUd|3z4tu( zq_Z?3XLdPr*;~F*RnwCn$6;Wm!?(7~Hj3Sxh<(4t!>+QVy?Dn*+I@ufXN%Hg$OrDAqCSnyfi~sX4iU7H zGuF-5_i~p3VrZX1=k>SmBeOW=`~QQsLQePJq7g|s0&g1j|3V(Tg=`+l!*#lmo4@iPM1(o$ws;-XBDXj{Z7 z@8TA^|Ye_jKE?)B# zEf36`eNpRWA+AZLQ8}kk83-yc0m!J63cL!thkI#G$gp?+S1jhqASjaH@b60noM{3h z6Jk(;@06a*z#JlwduGrW2`t>`EzhPk!q4D=juC1@mSa~$mNOu>9nCL6&`8@fgtE1@ z#Bb*--Ni!(Ra-_rNy{H%`R5eIzei5SKG&&;h)Y_@)f6$tz7iH2wly&a=#5-uPYdv= zceTMyYApu2G-c#YS^binR5Q)_w!6op^`Yd)t`(-XmPH{~$Q?{o#tqD=1G zw0kelh6lJ=0=N+a0vMhOw6xD-s6XXt59MIi7S%LV2ISZCckPN)YtgAC#P^X>yizph zP$+_6`<{XS$V1+m<~w8-*g^m)IEG6EOV8Pn0ZAa!KkHmUF=X1j zWrY+&lF6nNrmaoX`St^0Ki}hwp-!fQ>qo@KrM6%fM?eMO^-3VUweRm})Nnp!n6#u! z&bM<<thLE!(qSfA5m4`1Y8r#VYN3_@S0N+{}q zy6oSeyw2Ew?S!)pCiURc(EQ6*RCDdOBez2@|9eiOIz538Pt7ch!R&~SYn}iK=7;Co z@)X411Ilb)ze1<>7X545sT21Wk`}1LcmB?zz+qg=)jWFtlyVRNbW;!|wJ#O zdb_qI1M0<;GrrRr4sjU{H6Zd~wU%vF3ZTe|w_Pst{##toXM~wdc>dOOHhh)i0`Ifl z83Jn}Z5I6W^u#7exjr++i|>kl>A>mvHf>IBOH*SAGD zP(VqtwJeVLRduvzm5-r){q39~ufGOk;`nBYlz?ZLP7jX`8C;fmhd3#YjQ0yGHswsYO>=v5`XC@Kh54Lza%(+^*A zQ9>sK0zSXX53{D_&L&v_(LK>5?H6~Swc-P`HR-vGj@(`?dRL$3mH@ux@p2<~-ce|F zNGF3vFI}+$5q5r#I#;;^R%q6mu!RRxAu^->vpEiwC7B;Kc{)53ThpT^Qx zOMlY>Eh%Rz=P9qDQ9lztGg(FoOI=8hsLh_t6dkXt3F--^T*j+rFXC4-G%}{t>GW#o zUGVA})~AAJ$g{Vt2Tu%?E>5P+$5n(mmhW&i^ zV>$7Z`uZ=$FaIXSiqwlXE)aUgmo+JNC@6+y{c^3JD0{OAK)wGDY+U+OxVBau#j_4H zmvvkW%Xa_xioDFZY>#pStuRMh3_KP6x-7mBZ)Rh$R_v}qrpGT)nPCn$$9jF?)E91P zaKDt}(o&YjMm8kPjq#6cV)@U6ib3XJHh@hyl3>Wj%7Z_r9_5>=i25NZ^5HvSW_|^L zyo*hc@O`?xcNN$a?OA1_viBEKG{g?(0DW()EH%P4t8pqg5& z(4h-d6sl4&m#~W){=Cg_3372YMih8-64QS2^uL>9p>xr!2} zdkkh#6*xJ0q~ZUxnHLGSc0ZaI*9{?VJ_ro5(T+TV1o*eC#Ouap1A|l z{w3Y+2d`gc*oJ=MI$?WgVhsse%Bd{!Npb*8l?97%uw`GrmX2hhr-fqs@sCI^e7Tc z`F|NJ)QzF$Y*_mbi%jUvIg<3%UqwO*}{fx{ysv09WyiQ%A zd-v%^k&>gX@trBta$0?#lW;~5kcO#h2~gUAMqeu5B}5Ox;yHdSnAw-c4Pfvdgzahs z==ltAJIyQk`Y;&XMOveYxvQtLXT0cc?w;4|jeZ**9Ek)%6hPX$Rh6JaV!DCk?{k;livh&R4sE+4=L z;7w+#>eq5pyY)KrkJn1QZZ-5XbpGU05L4emDO za$W$uDbH7OnjykYH+7S9HRQ^+vYox`$)}J|v}lYtYIq7-$hEAQ)Q^@P3Crz*DF)B? z`WF7ol>Z~s%q453-$_vX!e~_L55?yq zCefx;wuj(9+^0<2l8?U zoAhn`2oaT9cJ1J-dm~WiI4}JIfFBEhZWww7w@^79@ALkbREP;zgt%oWpw`Abz>e_8P4PrXtxg5Nbs0h6_% zNA>Y!DjSOJ#Sa9ym>^0FB8 zZ@(@ov&`kk$6Dv$0SsA492AbMFzTFz6|nfO;8Z*%j74z$A?w^TJB;;I;9%f#E`Bn` z*){U?3W@iOmjq55S3yz;Vy{sl<^%bbpTrd^v44GXp7WFI*0_aiZS9#mk?W+r9FYg8 zivqY41@m5xY`|9nN*1RrV&KP2R|y8_1d_+z%;gOIeP|&{vC^V5`Up#-Sl%}DkRG$tQFv96iwE1X z$4r6pki&zw8X#s3asq~_|M8ev-U)k1tFABI*dAm~9%{#7W&nxTbb@06Lgj+ne>UpBVA8&OucPEDY8zBlF&Le-dlO0<%PmEBFxhYH%J<#ot68kW~D z(1qKR>vo)7OAU%QI>60Kv?sqa%`ap{Drs7Q4xNg<8p}(}U@_1q5KnkAP)yj|!+WdG zAm1^^{S=ag4!NT=>US>flNKv{ggKbd!NVWnFO%B;?1K1Y|nPKdB57eoc5A(a`>aL#+#R zwMf6dalSqW*$Y>_+`$t*$Z%->v!yjvBs819cico6HTEg}(neZ447-Tv^Js1n&!Gege zh(?3;4=;TpS!)^o!<++U5vD6OFCq%;!QSNIG)x$F8Rtx7jS-7*9>^e62w7DH3;rMu zkaO8{jAaXx>})N!Egr08Bm%Uv0!c~ZWplT5VF#cTx*pIw`C2lzL4&q8s;l%JxGLfa zLcmiDZIF|w9(D^Lhz)PZVwX_`wW)~Ifhp!}#T&&zP^aJxrJpJF)~&mUFrXMg?WM<~ zf(lvci$-&H5wNMT`LkAxTLA_n0t+ff7&Hr(sf7Z2zD`VqLs{8KFcwv0?GA;nP*;)9 zp+mTp7srbKds=#z@2_u9u);#XezzpuS7R#s^F4{H8lp(6FF-gI-YVU=@M)plQiX@a zcizUg4u=oJ6)QK-?(PLs`q=s|yLnuVzz24DEHS<~stLmUsELI+-)t#oBAx^N@6Je2 z1B~*08+V&%J(2-EI8dBCzAXAPjSQ3C zfWEfnMRJZwzhz>HM4Ltcv{v9T8n7~XoC@D{KPhl(0@OTS9}v_kvvNM zr#YpWADKoEQ0Uz;`~pVj8Qly~owPMBGe!xB(I)%`wxCqLx!)|cBYM&se%~3-Ks|Ww z9s#(9bk7^B6I$a9yRJY1(4rKeni}8yrT&a%xh>W*Zur?ig*+#_9gJ1=;1g+|`H+O| z;|O?=nge=*zdfRf_#Cn}+H;QG_eN6??B_wF!4##qNxDf_u8|I{_1fVhWqGtkg`~lQ z^~NQ|@hj@SHbbW**J+}K{jL8m0>zD8{~z07Ris{pvVZ$wd_Kv3uu z4MaP}me!w<6tCjIg>gEs>kY=-wRvXrhz20Muzo65LjwU!7LZlsky2vJO%U#PtP23h zYqb9tQ-WS^^;9TZwKb+Y8=&e@K~LxcaxLw+fbId>0bAz3Xfw+~_$oL4KDB6&F>+yf z)}V!-f=<{{IV?alPoR9r_AP#&ame+liH&A*XprNKfO~0ctjNrSthwx?PRvk znN%(U@Ud_><+}RRrMVqqJ-o>nro~~A>IO27Ea#zVPs4sJv}b+a zvBdrBBC|rt4_)=eKb7OC+h8LdLZ~2$KosYxxB%_NxfP$6rKpFqr&41 zc`UavYdeoR|9l`gFbq1Sy53H8kzu{>Ci#z29)zm1`rSJ$f59YE_;OH`u}!pR;4Sfo zUH*L}p+w9tN?ja;i!G-tjvos(?(jKgGUK)&X%7nkr>ZR zY*Uyb)okxSCz+uDUp!Z+e4pXci`)Nk+Nl+`OJM*9k_hAh5QpM8ACp1bZGX_0Jnc_Q zbp(XSB<>syt@RUZ2GUvKH1s7hix2@22rhv>zw zJ9|jquZoPgG1JK4KU6L%wrwg#TE548|LhONKQqB6hi(uoh~}DHyy5ICU;ANblh)Nr z{^5JWG=TdOSI~ z>1UJaIa4S>1#XdMj4eW@= zbaODS@|$R)BY@F$p!mjxWbM%d?nZ}@m?;h#Lx1Y%nt^WsOs|~|?WPxvp`Fkmmi83y zIHfY`E;z?-0)`Ql!cUKIo2Ae_&N4q*jz`VH{*{LV&*)(@cn z?@-W+g}VOev!)6m=6wBbCg?w<80h~|^_5{&ZqM7BQV?kYrCVtM>Fy56O(WeX2uOn> zNK1Dq&8E9i>6C7eZjf$x*Y=#>@&EeiT-VWOuQfAk=AL_I)_O-h(ZMZisQXri^QL4e zw8(Q)3;zd2H*mf3&iT**umdo9k}*U~l@I#W>pGdqD*F1aO12vJZIkLD*n|)v!}hq_8e9)4 zF6pXelM{!w3M9J0ylfzm5tayHeRGf1;mvscvU)NP0^SAKfVwCc>KI;q`njp9fVnf+ zfg@<}`@<057mpwio)2maiho>B`ISE4qsI~t2_1Fe$Bs#S^4(TKUnJ=V_>t{zs&iFA zft@@cDAh^B4jNXm`MOT@{Nmp%4D$OUo=Y=ZKge6gjvE|t;|>4_z9oDQH=9v%f0IXf z(8l-%q~-sUz3`JzH!Us9 zhc8(TG$hk)E%+2ki_f*HT&IR}WmjS>=xJoFr_3h?RkA4LT6xV2{hy zSEGJ8o*#?#3>TNfo^hZ;AObOtIYx6=t2V(nr9%4L`Y!3Ny07i{kr+p|IUmerSf>e=V4Vz|F)-;<|YoO&=~ ztTD1~Y}G9=6Qd#hY$?8C@ay_7x3_cTal=h_I#Pq7Ito6?FQS|EUIfJ1J(ikkNT-z_ zQ2cBSw>Hb1`;_>M4UM1YL&%i1JfEKjzERaIc&+u4Aia-3Jhe=PO!^2bz6; z678takW<^3xrKfyy_td1F`5N3u850h2DQ@A{wj9qxQ7V6x`^Y)zd(%}k9SxfaU7q@ zA$a|5QveZ>z z?*TwK{>AM;FV;HkbzQo1%hK+YsRkMhXwF^;mD<-cpfFXt>zVV3z%d>vD)eYw`lo;4 zdqyL(d%CUeDyHQDTWv?0TI;;I|7&Fs&R+LY*~_DEtsRdfE@K=R_~vMjgzPEXC&)Q zg0SHi&c2ncwFYTgz;Z*DzvQ>ojnUq(`oAT<+KUB=g7||<3jiaQ*HH_Y>(##*QY*ij zS`mwJ(c)oJLz%Q^lcS{@r88poxMKrX-?JAzC4%p4`>Kp^sLkLTUMVgTt&u(~vqwup z(>kx=yo#RetEMTTMU&5Gabu8x z59}U(*ZBTUw$|7T#ZEDsrZy$j8^P2B7sjOd<(!=;zny~^SfFgB!LQ)&;es*4ApDyw z-%&P1Jl(-AtrsKdEZAW-xhv>-1Usa*VwWCg8b(LdypK5E7KHO+aVkv|uaxUbt+ifd zg%=}s5O+{HbDcy3zDMBo_uzpM*!|P_HbOUJ+v4oJGja_@azDKeF4? zU3pkx1&>OH<9#|0xDJuwlVIa*`yRt>HXo>s+TUul z){6+-SGL(0eH5uT$V<<9mO}nt4d#8KH+Z(pJGR+2)Lk_o5Z;?@aGD@j;5@oq#tVST zKz8S{(-{L~v1YQH zbe}Q7V93KDa&e4?^++yP;>1EnFza?YBTtsh6v6iH9?fqBV6SGmMs|HlyIcr1#^2ee zZcMs^YSZ+;ikdtA8qIv9@c>#V?3N}@kdBJbo9x^Ecr1j@faDzlV*v-E<{&EHMF=Xx zh0aRGI!OxODv<5Jy})}$fr+fs5?Y3$FU84UD&ARx{`=zPOIw!!hLyt8jf+W=%k&oJ z+?Q%p^t|?{Pa+=r&cZFxw_IUg78KIx@oj2Q;EFP<*36)4IK%ofGAag&FJcl9k$$tK z>WHtGqlxg!VA3gTG;S!EY0m&5&teEPXe6Dn=7Q0ieDC$Q1@cKUC*5lKue7qxo6xiG zTrWKmW4^K~#K{eAhPcQD$ygXO@XM?P?~oh$2%p(J>~wW&Hk61bWW795JzHYPR#vi7_H||@FB;BXH1i1@^k%YA%qC*p7DPo*Bg${}N(OY0JHJ?p! zv#?U)wF%kd_N0lx?UFe{W<;QzDo+)?If?*~PqereXctQqvvcByf%~mMVg7T^FE;Hi zRVM}9rcl}|nlgD;rbxh338-qXJ+M|Vl)z{(R|BZ8U`~ij0k5bzx{Z%+ERCQDhVit^ zY+Nos@Yd7MWGMfN39*O+6;wh|fQZVN)&UnmrS6If{aBT2dWJ!3+o04a+l&vpXo**+ zH!=eaG`Ww1kNx0)P%(*yT}M3H;USoCF{G&wL@3PdVr?_IU38_!_dc~K2hLRQSZHUcPori9Ofp6qD`Ur+6T~zRgq261VvV_vCGPQUz?$; zOddXJNZO^5hZho3@ zK5}r44Dl_M`4-Gy4=+B!5mSS5EZ}c%zdsv66NtkFuN#FFG1L%Mu`^pCATt>t*vJtt zwJ3V&t~8@2jW>Y6gB3|kWjRlA;CjpUzB)vhTWhwnu@SXr@QeiMZ-Yp7bRY1`P)!l} zfQRae>DFVNEp+kX-mBw_%VCSuhE+dMl*4iZZ-xBVnA~GXq_4ytAcA7?7qv2`rNKl( zIt>&++_!sv($zbpZGC%zrYg%Q!wxxT>wjiN1>?oU_J?*@Q&}*3T*$OEv_fUi0h^+@Rx2G~I z8t}^ar4l(xVHs8<5^ZSZbZ%UKO@tkmNiI&|bRFGb2}CxJY{Gp8tXn z(8hd;uVc>zImz`TJEFW)%U@>Th9%$^5%T*fE{WH5Y~~;Is)qKo3o}j|(c|viRUjkh z{{HG~f`6CnOhG);T+_Jgab!pHWFnMlduj)q5!w0?Q=P%PBx(y!;pB5O;pkoI*b(ZR z7Yza}6P_KnM(DHVcmfmLgKM%iIu6*+R72J&0V{y?5@4?x$5T+>Bf{sGck!7#dN464 zyi@(o0ReP8g4P$kSj6#W4Ln|*Gdt{3K1QP|HZOPN{)EL>YYJEu=5C)tLo=o-d`t&O zBHlSCjUZ~iees`*-ZHrlPLY>v@fPk!3`NfJ&N1uKAzJ1BK+iFF}d7Ox<= zv)KpQr~p-ZE4Od;TwB55h-B_?(e792GiJ`tJRxTSe5hD5@fo#_oi%y7w;fpC2odJr#*Q6HDy#000}$vOTfxjYgHYV4wS@7@yVA2qx@J}WWES5Jib}$9JlkQ1*mo#U)2Z6&QF%IiNa*oi4RZ zf-TOt3%Rgp>7a-p!U=(f5dg}0)zY?g4eqb&F0f#KyWC;MNo?K1`IUU;4

+ZpQ~}}LmL0d0-t_-Mij^Q1J}&dur|eo{ZX#$5*jiIw*BaC zf&{a+O&7F&!GRVfQBQ4=X4>IIK)^!0T2+CFF!@|R=PV1QJWt8R3k>(tRLSb+uaV2M znOCU=mkF{@H>aVg?^u+EUvH-O4htplba?N37Fig+Rs?%J{~!ixc+#DBg1-IOlNcnHGiB89-s+5Y^AdY~- z0<5Y%;TFOLtyL@*whBb{SaLI%Nj?(ABM=%gdP_y_adqY`zmqCs)y@Phq#`xn>F#uS z#XM(S(4U0wf2nUn!*&vpQB4PG@6T)y#`$14rJ{yyfzM)tVDLZdU;Ypy>ZYf_>hc5wB<@4`Q~B}=Y?aIv}bUHR=jVO zJ?VevZ7ZX@eZog6=^(P;QW*ej%8+91(^`ftjM1Yq-p@IR?O!?a_xFXro^@Ww6|md; zSt0{$%~A$0sQ&Z=_|?CTwK{DW&Yb^Asp2DusEh zsX3Xys4_2kYPY8uX_v)1DSG++k?ePlIMdGnC$ejqM%Nua0|cw**R_Ooj~Tz%YZKuX z>dAeJY_=w^FpC9Dc`MD+I62289huj>T?@o`g!1j=4Z5B`i$>9(rNdPW8Ot`><*61n zLLC3RYGURi%-A2gy?W>OxQ^NGK&wFU+wfRyFUg!a=u=V{?jD@@Ih;*I#76Z#&7I+W zaa{-X&$n^J_M<0}T-dT5W*c(G5)MaEB591d$|WArPn3nF z)sRQ2KR1JE34P66XqLc8D z8Ii+<#X{26TSJ9UPnxz3+&8cshB?S1a=0y+znpRB{bt~Hkd{9uDu>|W@YkwJceOOmM(=fPo!k1=#lhrid#ek$VMdh)pvZ|6>EDu0VQ6s zk|hxIGu$;dQ1WAl_Sar;%5TcR+KByg_n6AKKLREPw?wi$24d!r4_-li=u{A$Jfs-K zn-U!L90{t0m0_X{y%>Z)9a38c&Xvk{$?!O5YCW0HmvNHb9O(a5T_UIa5pZXF;NU9 zQ3(I)MM({MNHWy=9!;6!=6x5f90R@@(jE+LZw!K}K8w?3xEhbb7Y9Q)6p|>a)p98! z%=fjT7u(3nxl$yJ=*a_$Z^dl4pAh(Q1z}}h@Oj?CZ6U+^(9UyTOj(g=$rWK+ z!t3MCe%R;|5z6})6=!5AGn*N3N+a91%D8QWrgnAo`yH}`@2l^MQUL+YmkjUkVTNXq z33@Bk)~}7<9#0Af4)GUqjZ6-&`5G<{1%{8LDhn~*>?PZe{|v_O!2?5Nl>ZyuRAE_7 zp+pArsfEQ0Z(rXi6q|T>o01?u`#7}SjduKVA@FC4WQ3R;V2?#|6N!yYih;hn$`n{t z{8GDCKm1%`w-L;T^3#bYY%zd}3Z)$;$be*W%0I09oRFubD7&aGn{ ze-5$7Kb!5y_OgRPhwts@txE-Fji;s&MfF1xg5=3ao3h{Z&ikP5Yd?fv4tHEpJOdi0 zfET00;y?+2y-0$9e3ty%E)BTN1aw(Ej12xT?f+)D4&1s#t#&~Px)UOQIU*~nIzC7n z_6TG7BKK4_`4*ugK0c)6&OBk&JWr07g`Gjl?-)$#81EkiVe@UoU;REv5r zql)T6XIwlK*u3+JvI<~ij0^^ml-fGkBVkGOvjOUdbO@}t$UD$ZsoM^x$Y(u zv46yZJdheKFw48(5#H90qU0MJCFZMv&*gv_o12bF3GbW8`*yXAp%$35XFy-F=+wV^VE%$jJ#1N>@yzz5MKdP}Og;s4n3bg$fTytK-1zpMyiYeFfx#iwPJM!%gA}fOTO%Mo-s`SfTc-nsogDZPX-Skw=`RQq;N7}1RGFOUHDW*d1 zkGmVirj9BPz=A(l5aVSVty9qpRT_}wo&`5-gx>AzrLx+6Q{X>*V{zd;7VZ`CGE!vVaRgs(GO9JsO>xyp@* zh=`#^_#m{g##2yu1_+eVK)yZIaeaF?W%V=>-WG4DoJNJjn z9GrNoPwAHaRebOeS2~R4?!H}dt~C`+NktpEd2HG=xRzHgB;#cF70UA+9*nLFUpyfrFxl52TS(U%J7n$RI zUU}ZQh0wt=tC;b~pKZLbNykxv5`jR(7X>P7o2fjm@ha5J_9=7CJNyI%M?iBacz&pf0GicCM;dQu5T2JNLkop4va?H!7t^*5 zfAtEp8WCIFYhYa4qK!A8y7SIYJ)TWy9|U6~z6_Pa_B#k374uK68eE>Zac;dxenxL8 z+2xRSt*&$OPPCf2C2=DNf=ue?tT@8~A<@Q9uxXsY5Oj9*w9G71T)+c#BFHP#;!#&?VF{#c3b`*3{? z_e#b;dQ&+{d3~!tjD{KvChp%pgB3qY<1Hpx$c+AotCNn6CLCH;&2sY;;n6>eu$q}j zloYzdRLPyCBEyr`Y<6&|92P4iRf>G%(LUKxR)`PQkJzU9p}|Oy?K(B&K`EaiNuJPJ zY0OzB9gKdgWLHnAq0N7c!_L?F1&5@or}P8)_lI6Bxn?##Kfj`A`CtSWZ z?)CANTL*^PY-cXU&;IeIQ8=q~1ed0=LCWkYOAEBUPed9_t@!VyoT!r!=iS^y?FuET z>6H~~@$7>tH-xDieLO&%pM{~7sLZqc(1w+1(JK#)BY4!|7&d6|+|IYkP1ApGvNF)) z{Q=qT<~-8PtHG=N`%=F6`1n*$o*+Y~C&;;&)a}pJB;TF%GM2=Ewhwx*v(&Y9AR7@* z{!OmxTMi$i`)c#VyUMzGB*~rI(ZsqPIK-lx<#!KbJPgsJOQ?uszpZV5`U;*{LS$+U z?wIt9f^I~kvcuIId6O{@B8#6*kyyyDO-C80Z9kVoUM@G$Cf7cIvK5&bBI;UAwF7bDw z6%s6~WK7x3M!Mzx%+;;6=@;SORtrL}5n*6NiMw_97Srp}ze}U#j-}E1@K$>G?x(i5 z5;%0D5IgKi+^t_$?QsBz=7c#WM;=ZA8_RSpp8S~=WFI0_}yUr7` zA>JR%ejbQ|PdPf6*K-q${W5FGsF%9&rDv5=_*|mQf1U{7 zyvmP`DbL%l-5MqDN2F=#U}^OGL72HE>ft4@JPG5ZX8M<5)4g4E4&Cv}&e6)c-cB4e&8(ZPPVnzgwHC#;hG8VR%orVJHp8o zl8KsDfx@2|+c=hf(%A(8qR zC{Wh0J1FT}Uf?B%cZ^To|5zbYPT*?Q!M_M{^qd|#{&t+^lji)L95Ply4n-JmbQ?!6 zt-SNtn^n218ZWL}8<$R&U3X)=xB%EirB^D3@w8yywRcA{>bH`K+B{ZK_@>E5nzv6# zb?k%E&`HM=yYk=Foo0PL-?KW=y;fW7qwB_ zQoPFh=;(PmDd(lrd6N7U!Jb6Zz>=@X12!rtRCXQDy-+&CpO*(A$}Wd~JchMS45ooejA z^X-RkV{wKv>_YXfY*YNlpF+#)4Y{7Mp0(gH-Vt*t&<*T8<4ty;Zl!94zYPrkv$lXz z*w^~uTVm%agX=dr;d~a$`|*s5^qw#<>jucA^5IKk7#yAX$P|`PoBj-<@~#G3M=k|U?yOe!1Ao$~(8h7| z!`1T?>2UeAeFsi`FjCQL?+sp2J<6=K<<`7CFn+Ih_#66#Hl*QNczJaVGw4tu9c`H3 z#g|EYTq>B|{;xz)^-Lb_y{|f25v@D+aULW#x>@~@8`B~@qv)$atT}bEpr>UOBoR2q zx%>Uc@Nbr$IzoI2{t^^N-)vb~v>k~2)jmu+^YGUP{Gr&j!LwW4>CmuvN;iA&9I)hs zU$^6Szizo&u5ZU-XQFEE0-M4@FHd@&a1G!dj9tK5_Jp2HtuR|%S=Y`USvOuE4jo9y zi~fp|GFi>hT3QJ*z~?u!>LfHTvI7GC*I2Q6xSq_SY`2&Q2{`zkoR<#tEEEcU?5iqv z(kVXLxm0x&AtLm-o6VRq@4Tgw$`*NL?F$rg&aFQ>D$(LLz&KDhvoy8X3$JKKj$ z=dG??WdUmaxa-2u?=DFSk54uXiGL~-6m>?`9G8&jAm6b?r&Kk6J@b_o}@zm*tO67UFh{e-Q&7kwUo+p z&lKSSBEhO;n9jKBVfC!oe-c*_6GkhQDoV+@_CgP?>!^}E!9LGPq*f#~ zN}a4SaP_?UV0p&5n;^hUQ-3tjicz{YSTYCfqr|1}SG4jUtL}Vga8%PGUsxh_iNxh? z4!4kz9pnEwG>`PnCY|8((d9m}=Tvz}Fmm~u-Vf|sQ)!3RfoP6DM({pG|2pfXTV4$q zf8#iz`{r=6^X2gE_UjAFS;!OaT|w>2bIGaL%hHwH1%>|>|N52GjOS8gmwu_Hsh#?5 z^SM~@8#~^;aUX}%T;>Nj)1%8gCLP1gsKuu3aSc#TBz zu6OqrNH`u7F>rIctMe(OFpCempKAj@XXJQa|K1j3y0W?VWuw);*YJ8c=c7b3!QVWK zvEdgOGhG(D0rEezmS|TpQH^Of>R|^Uf+t#D$S3pERhXo_*utS6Jbm(%^j=^u|DyOx zMPBovh8Sy5!mK`BKW6lWY)Mzo>flv`s6gf7f}`VzzIS^fH|~Fd(x~j)FBW)&Jim`H ze&EDg-(tXzLY1rCol@`C?8TitvikU*h_q41p?&Wyet#u*_!2jjRZ?bz}BuR*g}H! z^{H%5b4nD~wdTC!ZCZ_LK-$sa5m;L5dw@H*N^dk|Z=VG1o@ZF?d$1Eq zu+h%xHmg2LzcH7>OGVv9EtrOmV*>n5W>88J6Fm}>ks8tp7t0v zw2S&`BzH`XI&1_F2`YF!lHOYcsCj1bVH)qb&h(Qf`k36 z#I#ZZ(+8&%&jsMpkb^$3P!o&0nfBaQPCWItxa=Gxs+Sg?zi~3oCwhL+aX-tdiObP! zdGJ#iFtvX}!|x+05E^WJ2G|l)(_q)m(>U++CZ?U$%bt}v%pt1XhgwB950j=hcnU?J zemT2xz~YLLXF-b<@Em2ZP$ezHN$-9Dsg^yF#@)!5-eyu~Bqf^cGKXUaV#G59>GfC(i!DO4joNrAV;JNnlcP!XO_@PI$Z} zta?D$l80Kt(s1oqw|^18TEyFHx}lA=unaywTeH<17vRcv0v^@!O6*~qE1nGjg^y_}fU8oSVj`j2lAdcEvZ0$zq3<{&V`5*rzy)YQ98QHSVe<-X0f{ zUvJx_{w`zZz4M!rR3${12)0^=H}(37gT>azpdY%L8{zw(8Ee;;w5D9@*7mu3Y2yRr z)(8BEjZQZ4sFa0Cskmo<>%TqmnYb1uY8=v@H%R!7^8u)Xr$o?f>*}Rl{Hzsu)$

d&n6fW$3I6e*(Sfl$C@j?Qhf1~~f3n&s`MW%jLIWabmQKe$kNOdA{ zPxA8#>Dbq#x58N$@I2X!;?1laH&^3(OMFNf1l^IPfIg<}=fqaZI>lBZd>&qK)nA@y zX#HV-it2jJWYUuNb-{wJVQgIKwHUJnX|q+|M$dQ-_Fv#e^yZVSOWj9^dxBA$9XUH) z8a?Xv?l}%F0)g-h0(kcj{1JJ+^WLmP;sa+%g3aS+hxjO(9oGjr1}Q%g*_+~PW&~3!PHo=m+{`yh497S|iIZy!3k*&6HcJs@V#Jt~G60zVFLo4+ z%I&9Eb>0W|FOpxsU#@N24y00^R=+%<#MSF=ieP$*lK%bPuH4Z2DpoU&x z=Aa3mDvUU=YfQ_BP!FC#`P8+f3EaMN*erib$`39Gg8ceo+AwzZWnc+0XnV93h-X?b zX-i|JXmT?i(n~acyU68sGr#7j|J5FM*a-OzkdTOPyChsd5HPXNwEwYF>s$S@N`{>4 zMvGxxplj0YJIsU4&i76q-bq)JL(pO*vnm+mYSo@x|I>5{ml*WWY(4M_4|>1we|3c`#|p* zoMbELlL{=m8shbuNw}OhKPaui2y-%zjDRqrGS%POU+lN&c8`S#(RBPxKb}`aa-}~q z1itdV9&ih$=4E_ec~ozNJ2XV|Zeo=UxMd$*n_A7*68}G2kI$JTEb1KmA^Sc_Z=sZohU5tXQZ1%k2^IX{FQ}o3b zSTppA5bn6NTQ2E_I6A1n_9F*s}_a67!DP5uwKN{A&O$u}@4k*0HXFyFdLazmPaQonAX zvP0eay{6-Omoi_grAcpo1O3ZCMTkFJ6p1(HZbl!Ep(@tO=swzLu}DOJn&6&kJk@m; zd*oOd<_7;;35pUIEzA1%?4={@ zQ?ew|IVQqv0xzQ@=R1wKK11}vAtSZFsym|#2dq>gn*+{p8I*WW*x{bp- z;I(pv^-_6KL*CtwxD)w)`TJIM&K`Q6LMLj<@;+}3#eGqzHRn%aj_vp*$n26S;<-q~ zumAppO7iz!e0m`)p+&mZ2NH~r4)j1=91&)=?-hdacVJ+y(SaW@q65_~wsM@Ky_m$D zmUL~>IbB|*-D3L`fFWa}Jv*0&TXrW7e>0*v%6=H~SNSWGDoSmfLt9teI^-`??ZI=s zo{9PHn6rPvYCKBueaXhe#<%>;03XWqq z_RE%ZnO;mbN68VHFaL1f;9r3oj6gD`vW~MdmaX?y0~pFsH>-i zz#oL>o0#&paJg`)VhWd3b7EGyAaE>t_={6dnf+UAqs+^!yG6_(>rn#(TVhJ?CTwMj zzjTmFvNGi${n{n+mq;#Wtimm>2aj!|YuU;X+Mx0(}*y0ciGy5q$%LINhK<8EBQVYIO481H6ED31Kw3eYeV!x*BiN=2kp%ocShdw611hiQA)R zSZn@jygYvX^uA7a|4eUEN0I5ASHJ0x7NYL8WHO59-%+%$;@yX9Ry&8Y#6z!7yDgXK z|2tm31?5Wu4MuJ~80*u>Fp`L>bdvPhrbNdfV>ui+WQRQepclc{%;##{vboIIpZI}4 z#$--Q^MwC0Ae|}l<&~3}UI%56K_m-aE^~bTa!xnw*2Gja!moVg1k2Q{mz%cA8-40H z;yzmBubS1Z8B@=%6WP0ki;lXJ5J*7D|7N%EVoEz{5EX6+oN2R+K%H`!5d+v>Q;MUYr#!_*=bsdr`Z>D!C8l+pR zNhduJ!|O$5`Vz`|$D+Hve;r|}cf*R9O%dbrmJ`{u1#7}*E z*wQFM{!99PdB%CMZfW-&*dy2(lzIDRlX~FH9Ei%Z8j!pO95h_keH#ZKwsRkH`M}-v zPPN|2%MeYkN&3NE;o;Y+I|7LdUcOlZr{!6OK3GFh?RJfOWI>+CiWdvL;@PhPdFu8q zkO7+da|QwIVU54*XMsjPs3Y^U{o?oWVFmeOWZmocw`zxEe=rxt=j_S&1p}(UL;R|!%vwS^e92WTNkMF)#%fA~fyr@#*fH&oP`^CFWorUY znIV3R6Rigya?i}5OXuI1E2J4aw-{Oi(XbAAalFeVjHAc9cbchb>)h_UbU(nAy>nLx zc(G0OiWMs|a7MECWUyV<((A7x8HF=-_G*($+aLBk!WiF57*uTXEqg0LxQf^zBPI%d zje??`0D0)(!)oPcg%iFmwk_eChfAUIbg-V7L_?{b9s-B1IAYZD_w5BOT%Ysq8tLZ@ zNhp{NiJv<2)AXDSK9#ZjF!a~Mj$dS?Y-67vK2na(9VE5bLJ8GQuhC>Ndaeaj=-XO3 z0CY$$V0L-VusGMTbW$6;tZ!vukQdrTAH89gY^Icss(sQ{809^e+9oGz4zFB*GrIa? z{i;jejymgQ!{fS(_IDTk(RhC|ao+;huI#(TTR<|e8MM92EptRLG5^P1ph{RgBoR(< zGD@a(Y0(iXNY0#V{^I7l^8EwMwxO+Gm-?sy>$CHjuxQ4kmGQaX4zlm^!j9cesV@wZ zGY=K6-l(?N!LE<8-__+vhU!gQGW`chAg^Cl^PULL3OAdiZW6MmoQeUT!2GXIpqu`6 z@PRl7qe8;B%IU&%6?!B{A`Hc+a!va@Tbu8gw>wk5+i~?N>Ng(XhTF)kFgyza-}+>x zHx8L6T-WSAwi*`FxxKMYftLwpe=-cTd>yC7iU55r|7L3yKF&MjeC}nIEF4*p81ydRF22Ji zU;N@argIP>#lAgnakDsH+fmZ{*X3vX_J-RpQt$xHYDzMbR>0pu%47_;V1#vl-8sWl-r66y2O3LPif!vh z44wQX32rYn!fOY7!bm+%<(1yW?06iSbzk2UwMpiI$vKPPH)#J71`v)UwH-A9mAzO1 zvyrI@a*0?_=91J+Tjh*tBnuZS^1 zvJ~TaKCFiO=4!Wm(|U>GFFOJeHZjh0*EWIE7vQ_SDMOc?OzwXK3#ft0HW_bP_M?$? zW*nnk9bS#58NxGW4eRW=NfHn0Q}q0!wU$-a-CO4Vv_|QBvrd6ow~?v;hv$HJ4)P>l zimwC22R=@1_T2*15-y-!aFHN(BgFHCb_+Xq;U2`U!O5J19R6B|d^wOLqd*N=!_V$R z7tVSy@8YET_aj;Nn#9MkP5l0IkC4X(1BK_UZWnobIR))GBD3WE1`&5Fv;IJfoseh8B+c%ph7m3n=2y;uM2OM$p{xJ7m{8f5`mixls!2ikr zMN}9yJ;z&E-h9p{d{Jp4t6s8!xCZyR*r;px#ONk#Se6bz(5sVJu_j~1U6y1-`Hp7y za;DQpq~8KQct7-{YlK7%^{>}K&K|M9!AjvElt{b^Iy_5yCaj*W+V)Sl`c};D{K%wc zRqicR9~h~2Hz=0%AH2RcvYSP}ih!Nft{#SC5rvly5SkR-Ah8krJ?Tbn_w|FHdQbGR zoqdsl>L0kzlB~m5iOjS6>21SAYq3P3g*H|5@JhNs28l!c2S_2GY3!3}TSfb;;|oxP zZ{F7`SzuL6tCw!B-^P?}2>6G-`VmoS;Ie}_f+cpbw7kFeN!pJ+J(*w{C`;Gcs`iieXsQKS9fp)mJ2M)MN zyXxNNA9DWhr0y$TOMj1zld;Xcj6*Gr>h#JYDRGgMnn@rYd-W=)46^+-k-Ctn^|E=P zy2VgOz`I6b*1N%$vIFt259+h~sDCGJ(ZD=$j86O~DSN{q?G87#s=Z2G(jO#BhE|Eo z_bW8}Rl>Cz==#F8B2_FwdxJiIiw+`ezoB66=5T?|Reqh$fiN_1N>h@jD)7& z5Y#K{c{JgUl%?epa$!1XXYzOGn=x6#|96!YtpBN$W5VdUcN|)&Z7wEbXYUWHv8MtH zlPU82wN2AV;NzM7UWZ%M_-q6(|L=!!qaO;K@Yi+X#d()se-4qv0H4d?VrFwBNf~^q zCiJccl%H1Y`>&T@HmyD4;4X;nFHCb;mwRCI0!TtvXW{Aoc#Ay2>^Upq|4FbZK1&kh z2_L6lwKL`z%y#KvXY)7PhM&NfYCSg3?u_bmI!V^M;~gt-YqI*Tipw%4tnOuMW#F68 z#^T*eXptoJZb4Xgfiab6mVVP!NCEaY9f2Sx;aq^SAjp^%n`+Cv4<|sJPIEW^6Q`?8 z-th+dVU$+WN$S$I_Q<8>kg#F}tGB!j1nP?{xz*Z6h|4+9atMCcq}oWSujDBp;xaqz z`}&{0B>3_msE?G|jXOc79@EX+Ixg=&XHJDb2mj)sn^#eb~;;I?9B-GeEgj%yh;*4KS|N9Bh|Ctd$|3>9LfLR}i(+BZRF zE-i9IvqLJ!9OE6}^UJot4`uDp zhZd-JN&d^6Rv7@KPS9TPOgJkI+V#&qrXMFOhtfPR{OSP&KP_MrDr#Y;Q>uzC1Z54vRn<3cSEj)4p;@dCqAOris_U$D`&S z3%}Fte+;;I?9FXDV{Le)u32g;4;yxr8L%6u)lhS9+#~j`NqqdTM+5Ru|4AU2$=W1y znTS_rqu<-yrS{F`jeJ#hay*=|jS|;d^aFG4=OpEl?%axbC}b{|@D2BszJ@|Dn%Z6L zwT$!0e0)mmacbLbef85H{zc3AIJgp5U@K(e7IuuXSkZ+gRoi2$ZxXkDSoTb1hVP5bv@}Yar>KMn$FVW8l$&h0=^rF771wFXR^Y@M+I9wX|cbf1M?AW zI)eGUd$GzLrx|8P2#&k?iOBnuBI3TNvWbiQHrWIM8EHz2f`Rcx0 zp3sPP%;TQ}@5q+zTY#WH-uV>qH9R>yzq>9F5%*N- z<2GI-6*cXPws9Se#?uTeMFdIv-A=1&;o&HLq&4aRJ_=c_OU$-y`nsuGBDyj;_`}@7 zn$b@3#?_`6=uzU_V>9dfMN#lGNs%T{d5s)|MJ~EjF(B0p#H)G3RJCh=$%hA4I@%XfZJ< zL?j&HlH)G~ zu8eb+&swps6aD%gcp7CwR(I>9=09>juAt47=1cf7lYVksmKhB;MLcmPadJ*#*R+)Ho=Uh@TK^?d$11_s184 zQ-(^!O;10{2=(Mzz1Twr&?;C#>NNjxk$^+UygyFCzve|sxMelubI&B=H!786q_t)LzffCpyxG^R@n^VsNl{I)uVOQaakDmt_k1h zSyo#xzY5(f_gX~7wM=%`M$6bin-V5ipK5gZI<*D4tIp8$kXm1UH8@33Zo4?-hsL=x zX48mfgxV#xY-fvk|Iu0XO~hYi4c4(c8rr$E-;^X1`pEv9!_nbK*itD=T7w#t(`YuF z0jofV1YQWXJH+RbY~CJVS^d6?mnLkrh?>hRky=KJuK)RiHdx&kL!It#2w{+Ez2{kU zsjDiex_uZ7t)t7tN{ZS$coZegEkqrEehk$;E_MEwqBXRsFeHhv{^T)U5e>~0h-Vb) z2)P7wmU7{6!z~L%e+`C)vBF34JPTAT$T?$aWa1laxKE5oCl!sh22R*fg2Z4x|3JapUp~5upYKW_}Yeep8-w6osiQli@{38*E;}eztR5UaSQ4 zr^P%sDT=}g5L%jqbZwxGjyY%apj_Dw0@1IBUHFx+K9=oYWaJ5w&6i`A}tQW zJRVi+BK@~ebdUab1Mlt^Ca%Og{iZrkeBQPt&7yy~P$PduvN-U2b*7o1!n*6$C8vki zX}g5T zeelQ6Eow&FzvAt)tFXYRR-|0HaU4P9?zy8@M~0|@-VM! zP{_M?7g&OHJaM1V*o&LWPBkME)Sq?}cYhYc~U6#V=fD!WFF{(VG)IED*-}fsd zP3IIh`TULvXw^Y%m@-$%vp&q(p*(elG58Ceu4l4x<0(2djgI3TM@o2yD4JS+vxhZs zj!I7T$p2loo}hJe+|QzbJTTa%+eFoDymALA;t;aFzl`DKYSrNUuCO&&lGJ@C$Ws62 zM~c^T6`E&BM;?Mlo#Vk-jtAKaR|k{97KN7DS;{K1LS3|sz+j*}0>)CpK)I{e3jB5S z%>tG8N5VV{>=Z3H*W=b?45}3e*M|3fP;!P1P7r{>0)Y9io9$t`ezQCVV8!unNKI=@ zgJjcMm*>`I#>Y?W+IbASCV5RQ7UMxiXpudh-nBUV>cXRA^MQ1tnv=o01OpJGgY>SP z+=3w}5m?||{|JUt*7(dx)qRydOPsvEBeVmnb6p&un>|x z?UR9Vv*4U)x*J?;_SI{3op;?8LY+c1uM!C-(7Xj*<#LUe$EV@-J%3oi%I0-!SL&*Ut z)yO~W2^Tz0QM=Qsg=@4T`r+c)hbBk}5x0{0>J3}_w)`X$fnMj@L6%*|n9UVs+*p%DzX0 z4bQE2f&oFx^A}S4x)&d*kj!;s3n#PAx8yO5po3;J!hqJKj#Tdd-LKRJloF9{T7&h0 zG7>mLi9hQza&iQX2z-+gTT#X*;i&T!r6;TlVtQl09ui6kaDIMgcaTkWWnK3wVDkL) z)i!JVimX2P^GO3j`@ZSHhycV;+L?(h8)BGKqy=^KIMDzj{q*O#{jp?rIk=`u`fl1? zz1qaXRN!7zY=v(A-6x3?9pMXXYb|}SvPO;;$Ch#*oSKXAqSjRWX#w5RU};cTtIMtp zA9>BKM=Zc=@6nb68gjjkhMw6CH1J~$^Hk&n5>IjJ%vnI-rWjY z%8k{*K!|zWLd5<8S=qN!4H{L%eP)7^<4o&m1+3O^T@>lB2Gc_5f9~H%>y*d6_cUNK zI-9SKhW|A-;!Ki%w&Y`9J(?=czOq8Oe(s>1W z%B+Itk#n>e(}2e-2k)eMtQ<)&GFEUr*3h;F2@+S@#otuxnpImC;*mfuJvs#PPP}jx zP3?#l=cC*G|8)qU28j~caZNrNqX5{PQi!`Y{SH+R&3G_b%8^FLq7ZsPl?<6VI7Nah zcxiA`p%c_&K}6=axS`cj&K|{=xedeYqn>;wios4hr0CjvvOMcY6Yi)ru?VK}M4au) z2#{&@H1vWXJJ~p}pv9e)5F6uL_J~bp+{C;2zL`*u|md;^5}_BF4l zM-^Y}Cf2tlITCpEZ?d3ZsSIU4n_l;FY>T#_t7G_|YbaH_r8jC-nWl{nO2cwT_rZ@1 zAVjfG5;@GuF^r%n0}w0$URu~qn1Fj_3nUHYO=GaHo+Em>H}__l3PIXI(-YwMhqHz30)# zHoNX**RPX(V0;Gz39}pEm)iadt*M=iL-1Fl^9A6{4DCW`BPo1aF3&6~ZEby)6ZbRI zo!u&cHDJMmvkw~Bg5S~zX12xTp58S;y)sT|r!uMFI z&e@*dISRc|uHZocs(3)Dh1J}(v_C@Dkqp@QcR16QqR>?42Ok~T44>yOMpF2___L6* zk%qh{qOR#o4Hs5Zr3ZvY(6w(7HS}=m)V@A+vssBGC6oC-{#Y@w|6bIryspjKL zv%p`Q9(XQe*-!qVKm+Q?ZUJy?ArVVuT->;xJ+ZDz9`;-7#b2iLjjB-Y?AvzJ0XgTq z{?F}zysBBd6PMeFc9)DC7nB41nH}*)zF=k|J%Z#;6>Lu(Hv1+^V|-J)a(dXCA z;o{m99P|2O5(DW~vkaH~o5AX3;BnGZjHnz!-DXGgdxH6H8?4N721y^=4}IR@6m%5< zs`;PqNm3D-wgB*ws=QYO9&b$Aj@DcricxA*)&{){Ov|PcVxh7zv=Ut37F@#iqT{D) z7}n6!D;^ftLmvxO4Iv9hVo=5#`>uvC4*wxYLrLt8kwq5G_yG2d&ky86sz3M(O0AZ} zU$MQ0PmigPR6=Q`EANF@>iMi!$W*CgBA6e;>iZXDX{Ocv8q5s}0-GtdAypNN53_UF zugnej-e{#q(Ru}T;T;5ZR?>)l{bek?4!anbt4Sy6d__4=CHO~<< zZMl-0!23ywFxdtC6GQnx+3+<2+1@lhkup9;(_1}tc4%6ZEe@m(%BQ@+PWV3i?%Xln ziCFUr?ez;m+xfL6r`;b_&rPHm;T*FVjD*jg)14=6Jx6AWV2LK3DthXy#pgnD0SWxI zsb_n3QPFBFb$yWu?eZa>Eb<{{#FeV&@O&+tgXq76gXN=Bjj?*`-O6>@AE^zT{;txh5{4Ks%HD1K3?De z$M9;a#9uh_MKRg9LFFMsnWE>`QB7MR!qImy)Fcf55;*X9%J&z}LbBrm3@JUd7?K`E zbpwmjo)YdwgH+%4*e#$@prpHAQF0LJiiqJ_{A(}q2PMa2hs-aePWqPIRI}e5w-k$s z=?c0E{(%xoK?3j0QyE*A8!PmFT^6BiRSTMvCL-TaF3P}$$%f4@eJW`5Q&P&edZ!O8 zg_(Rvoo8L2^<~H?nO){0cZ(GAe{}naEFbn$J|7$JSh28}o)y46@OXipt0iFe)8*R25^i*AJd}}FWSFk6?lGQ+KA>nD)$b35> zUh9aTWvhyGUZUBc8?HXZe!^YfC4U}o?nE63az8uyrqv-KR())WXoQACWR=i461xW8 z0hs}t^d5UUU%?ID_H|fm^mcb|kzSdEsUCN;v)6}ql2cvbsA-liyyz5f=I0bMjX$@< z?{xzG@jBtlck_5O+?)z_;V;^jQ+3-j-+D6AX6hadA4%A$V8(D{Q=aPbu`;W4S;aDx zS?#pLVe<+edbuN^sV8tjBa_ge>c_G*){Ae^)Hb-;CVj-T(yzDKno*?foFPn6D}i2g z1=7C86on8S0fE_QmkaT{_97{MN-go{2Q;_8wj@bnwbRO8EgMoP;xS09KDyIvYg~^{ zA%!=-e{{Y?Z!(YGDzl<`l#%6U$Vz_CB>Y7*eA3|SLyK4%(4IdcGH9WHf0`T2*wEY; zva3?NElXaY1+o*t_*_!H*CCvbJ+4q2)KNb%HWi9Qa8gjU`%9xDGQEV{{w_}Zv z7Q3XOk!8oi`X5`YuW%tL_G08S|jsma=*XcC;=EXfxKPsLO=x6+>*CB^rWsH@{qr*H!3Vje2nYXwNzK-!HhF3UzNe~8DH)ZaQH0qw zNucL3)>@t#h~X)f3UY$OTru61tsaOE6hrQCbs5974uP@++{c=9Vm4{HlWseIVHb)% z`IWOlPIPMe#ZcYtE%Gc?M=<}f%tn-b{Dbz)udD&tn7q}3I=0%LXy9u!DrC5c-T8`yWqtgAfeZdfY^AY>GP?`4lj>OI8k*c*nZi>gF$N zIo0-pRWMXjqPTbt<`;;nICxLUAZ>lm8Gk+=+%8aif!37SrD}UL(d7_Cy=lmY7`(@N z?}1!6n^2z}(oh2H7+uTS_6@`%#f#tpAlCKuX|knl0KQu`rOj604(wK;RU#w!n96Ml zWfN!=kLE#Q!ML4tIURfE`0NUFMK3NgQD8-=tEebH!aD5h?PTAb3-0%1##i%fV{YK^ z9Qe3szxs4i=Q^Mt|C>ixKSh>{M+9)%;_MGC))AjQvuS8~5*}yyjg)ov<3x2CgH0F? zE#^kqGn>r6f*;DVQZQWO3vY^buIOV^5kETk=C{4!{}b7Z3v8=l>^;n>26To2MwPjB z7CAdK^JoF2v=^ie@p9oe=ukYO{;safryc0h4pXo*ES^hk#uXWS4j${hUO!QES*Tbh z6eYxRmE_qdBEmUrEqz>TSuokD!+b=Meal%`_wxL+8%fA=zt`uhY+fP? zyPEhwj7sH81EH44F;|B5NWoHb@my$sy@@Aew`S*5*T{Y7?mo<%i!^C;WY2{P@t>{2 zspz#ZBQwiZ@=n-|RCHW4B%gZ_pL=2-P{lq##GoR|NEs(xtDa@- zz08i;fo(Y`!bU^fRDwYtM0{Mbi;AW^rga5F@nh1~BC4xGMOsT(?Be!)!I^Gmwi6#z z7Eox$y5EW=u_rqTW?Dob=JH9nbaUPhgYp;d21<8n)#)Af#>}jU)(?F@D1JdJNOFww zII&hV{Jf|?%0@uhZQ(UZ=;kD8>?X%lE4TMzzLdo->>lEouE!6rS1oJkvLV;m zp;0<<&SZS{9-wvN^4{VaS|h`&U1>1V2DT2BQ?tbuO;F=Ks0Bt9y=Ld$!ntIODfXhs z6s`B4OzPD41b2qtsb+CwP}obSRXAqS>1G&h+e1(+!JZgr9KFto4NM)#YV9eW z*P~`0aEnM6O)}eM#viJMB^}a%3_{a8&Go{e1?65 z^^BU=M8ESqp@AFc?Dl4?zlml#@C=5=XdA+m`dV${V{_jrmiZcfmjwa9Q;gN^k-A56RxZv7eM`5Hq{`}~Na zI%K>KzHkA;i#N~>Ep^t+ceuXh`KJ;kWC<3YEG9Zx_(uECoVZcTS_Nqx4-44|)Du~+Y3&TVF0bEe_5YDL zlsJf5c>Sh?)2$|O0m3M1?30THWYy;^uaI)4z6&{%9caFRfYtv&8kS9|1_p2L?IN~T zsl9du`2AR$QQ^m#>d0zNbQv9Nz4pDT@sw-h-b+JbicfRnht~FVmL{nxEB!w+6=&TW zvSL7NL@#lkpC97jxRVSv!s%favsyvRi44+sT;P_#pGOI~H0k|qnO=Bosa^iJ1&G6U zcQlK7s$(81L@+Sb(78wR*SYqAiOy)bV)EBjI=Grv$(JV>Vl%5hzt?Y0o*;dK08-AZ zKvs;&>#nm|_^k@aP=8)=-fS78l6}(OBkO^{xD1BbC6e%)`y-kOMDwJc-3${Kf3F>b z!1jlG%}d$achQG&j?ES4Ubd$c&GzE$VC^0Ij|)W(6tfft#b)`a38cbDx*YMqd=`c_ zjhgfe211940B>pj;KT8rwB7%3-B87opd|A_Uxg^sIfb$KL-Yg;B@in)448^<$R@MK zjMeDQ;yF>ZXDR*m%=%u@EWIx+$+jnYX&q~83$y-$B7yghi0GfeFgs49C&S6Qh=hL}K%$gYVe-G~_zBIEeBO?J1bGCG(1Z11<+ucHmkgZ)j_3 ze2u9`vtR-YmgoDGjb)8R$jLm`*TSRE;w>jE!K7!AmfSXr7pW?{&E#Y9oJ(bYVnwKM z6x>+m+sdL@@!;v*=93xJ!XJ6>)H7-*hidM3{kSu%4Yo8e9z%Q(Ke`0l5x!n<)9k>X zS|;`J3kc*M6j2s{WK_@6(>QNSJoO96a<=%UzmPrTV`9b}kTuH8&`wtC4<8hYr`$O6 z`&gyo#J?4WQRn8JFyt$1T~Q~y!J7o$=vCL!59=f5k#rwA>vHnaf9!&k(^um z`12IRO9T$Vj>oJRD?h4if1(R7S(#Lm3rzYLvul{ov`==A-?yq@_vvVHp2ddHp|RrJ z?(|vGYPxAA`~&NBy4-3Sz{I}MlKiq;3HP@>VlYQal*)@q6%g)0g^3o@t4O=`nO*{H{vnC zZgeLyKM_{IOOz2S4yUpX)atgwLIZZ>2wTarZuv4qg>ZS}+lzU#;9(R9N`LN)&cdQK zGcx?OPqTKd>trcP#qa^pA@agIb0pOKFwBenO6Ym}%g2kW6RA=zwX=`atxUDp`?&6S7 zbacc-{EOQZmG^#^G5fwQU}@wQauQHwg`Wx`j#0cNv&f)VKOf~phh-NQ{q#`XXgDR@ zU(|Li!>$v|1|`aOJa9FhE(`{nniSl|kj3G7_0P}B74fCaJy&VP&~D1GUy_g&r9S&C z8-0v(Ee(srLq{OfB7W7?{de+t4|hCeKDk2-ndJG}Y(sszS#`mr<3t3>zpV-5jmOLNg(+@J5M`P;KQW3`&`JoOi?}P( z^R@wpB+p!7LuYvB5CK7OhWa)-kz|q!M!Nkq<%PeC^$oueXcvD@#rXC1(KI6Rs;N(W zm$qL`_a*@D@XOs7+AU`pVu;{ziTNHwZ0ab7g-EH@cB_h&Aq}~1Nx?@fARd}Bqw6Y3 z+VO>)?}1O{NrxSHJ;ThEb7Bg7q02RRa@Ty6F0gP_roCSR`=rWLm+B}F%+-+J?pE>o zeEST38%(xS$Cx)u&V=yqP((BVKK}I^aT)<0nw{sKniz4F6^15$)VwZ@H~4X3uXRQI zWukEKHPURjM7qwu!`F}1OHoWZ4+Vkawab(LT+<@$NW(5CSCqJc4Tkb~BOr^ZaMwOx zCv?9eWZZhS^Pg)%|7t)_<9WpEpBH%%M}P_MuHXNOG947EMdzMHR7^i@88C4O%hwjF z`W;Wf?cCm)G^wEFqTV}i-HXp7sreL45NR3AC~Ge!RLXY1aH>DxIKf?%K=og=fHtIf+dNdc06;_=t=wODU@k;GmTGwqjsaUXC)c za=s1CV*_#W$#29DAkju7uQ7B-Z!TA?j>ukhv4YyCrQ;YZLu?L4gni+jj4!0KEmq~pBawo8%cLHb* zSZgM?zhUUr9^BPeU&p}NC%Lu=fOyFz8i-(oYQPSjK0kY^`kaLYMDL;j?*QTJaY3F_ zF?>_}#G9RIV(jdiPE1ZC?+-kToR$W}Sl#k*)%45VCZ8Z~2AXDzh)WWzooEQxYE!>x z7E<%B5`4Dsa*9u3R;-ob^6Z(+Hpj!Meab8>qp|nZtK5Azuf?fYJAH*M8ZLOHvvP@q zc)-gORA`OH=|gm81e`4-M~dXbWyeK`;}$KQ;>7aa){E2L_~~T*aJ(X$hpPj$g>WqsiQukyOc!d%Q)IX zaNq}ByKBp6V5d^sHa{4u>c)^pYx%dpcSmqdhl|#^7sFygk%=0rihjeL$eeXf6hR#)u7b`4BYZ(*t^Ra>K39b_~qJ?R@%k&m7l!ywP39OtUdX zQQy!YDZhe;rY~;Z9TPa|j4^)Hf~gQ31fSgAa?hKUx$3-EEnn!n-aiPIPnJ-1)7MeJ zBlFFJ5NTMJ!A#6{$DZg~24E(gIu}hU|PNW(z&JE{aLhH3~{oSa8dzQ;pUX1C6jMI()Y_EIco$Fnb$?J$K zAS&J8yn+2BJo)F@3jCaCqm$!;KbHFEb!chzv0Ar3-Oxe4EldFGmaF^%Z!!j(8L^US zEBg^oHh-2E(KMo5xa+gHx~utY4t)@jWFe_+awkGKtPlkq>fgPakTI^X6s<%WG)3{b}2D>rKU^#QMI{VLtWR-irEzE(NG6p>x_E`U*d&?`|XQZ}Ye<31?b^iXdIn$tx=U^-KBwM%* zZWCUVAej0y`~SZvAos%QZA3dUO+=hnZY3l0`SWmD4H}Ofszz+##L<_}%V&@My?en- zG2Z7bd9!Luli%IzG#2H@(ZUmn?R<)qz5@!6&Q+aNI?m>{Cj1LoZFX`I5aIlbEafuL z$f2P{NL=5R=u-)1zFwMOn1*&k3X;v#S2?)1)X)LR5!GAR7aR^d8`AuUI*E$uz?sRDR9JuFZy)3mv7_EimPu)6h zT`MK|i;JO1a!1$0N;-Q44s7^~K;G|`IC1sI53n>xCtwkDp#{(m;s6{`PCim z_cgs>QM8asujirXgEl8#9A9x=yH09<5V{=%C4D?N)y8EP36VpL{^@sZ&*Y+$v#jSG z5GYTZ3RWxD{QIwP-aHVMcju$1%`MrMl&Ur2q7Q#w16h}t8j>0O zHgg-bgn9M0oYay_3?B@Lq|>$U?hfkF+143k_yPLdQ;{ZsTCh$!jSnX3%f2ye>mB?1 z6nN3gh@7K0tjc`d#4+>eVG&z8r}9?|#&4*fkN_8rKI<@^#lWh+Wd}p6pB-E8vbJhF zsZAOz*bj(ySv{(5Jg+N6srNtwnZlzaRq~VH`Awq}ZwRUiV#eLv z(c#wO%)ttG8=Ci>ts!-#v14vO-~^zdLU&i=TN>GOetlDy?C9LaHLiSJ^3`8B2`d(A zV(N6z5f6*J=PkLzB=Uep(C#$@2ecc6kmxfH*{P!-0AZKLmeHa}eQ@0O7a>7;9X z9yTc2O)QOK$TE#$tpv z-ZHNs=nw%m-F*%rJEM&(8)H)Vw~e-=B%QH? z!UEm0Yt;1p1Iu^FKy)lvm?0k`)DSvq7yd8DQCIz!bliIdD>@i1mPm69(|D)dtB;G$ z!a>A(a#ZiW^1aGRBjI=pzEDEx`pU7sBVT8AIyTd*d$52q?PnPN^bv4G79BFThhU(|K~TfO&zqgrQewoRh*(; zT)bhjp!$6u>Uj1Y&MJqLlN}EqaO^O9_iz5gvEImV_qX%Sb#a=Q3yR^cqqGRI#LyxwcAW5~$Vn@C7(nHED5H zq#S0r4VZ0h96sdOf${H>8z^9eZ-_V~ew5BfOO~eQMVc1!AaonKaWuO4BD!#NyF`(&-FhG2~xM1i45ljFWKs2ljan+zj$S9X8D^^Mp z^Yyix_uu~fidTSMYH8R{-r$^lL%@vLovgK~aeCCn^lXlmhB%f$h}4+n+X<;$%8+z; z?27Z)vKx=i5~cg?4n&{9%KbHZ=w3R&K32j}lViu#oZsYG~=QEO2`y zbtV0d9kc%s1HOP7^|;DjqS4Wm&2%9m+{0a9I1Smb?B7Mh(cH4v6FRR~dy1LA z%u8F13=5W6m?u-OvX@)X36GlSWK~Tt zM6`ViUt`LDo=^6QY)38ZpJn94D$>t0wGB?`_q@t#Z1U??A~S~cOu#I}Dh9w!&h1F|S# z&Tw*Mwc)Z;S70CpRxR2s{0bMc%jNxMgLg4vR2wPR7*M>K3s+E1-03VvgMdY}Pw zJTiY`>_~GA!<7O~nKCgs_xKK__IQGXjuYLUX8jxa$fM}snr><16z9;T%z*Trk_-`z zq7Hd*zzk8FxD8e3zjaX=K(*Sl%dz9xzcc=H4%>fzVU=Uq+Ocm-4AYLy*w8=az3&Jg z*prJk)D0D@n2jj4c{aRdw#@6Q8kxdVFY)sCwGG>do2Axv$WR@e6L&WgA6LMOpsKbw zI5DLjr#fJJ-6we!A(cYil>pV3+jHD;RS?&m(iHd7z(iJ)1wxqSepbcfH6;p-4Ys%A zLg9eMDbjy9sHkjSPu}qeX^{%UqhELkcA$fZS{g!U*&uqr_F>j9SpUf_8M39>;?hl7 z&)$8T>*t~sX}Hb{RnERWP}CdZHbh!egu>#R*por2t*NbP<>fgt$lz|*VFt#WU~)y* zn>>WoUuS^sxs|jyc4&9dApKFnKJlW3OI*jGTqaReH5Q~_CMpMqqPONlpO`#ITG!Ss z6tyYc_}TOo^IecX&6fP!wUb(_Sb|kl^_<@u#nY{Hn$u8YA73J zQCjVEvAq`AWM7#2&Didc@ru8D0{+LX{l!7udQ9otIQg5rjj8}sPRQLlAy1bv>V)zQ zxt{>#47w5E0+u|n^#vTmlpvV{nLW^s0fW1w2wH3KtTE-XALgphxflQkxZ&*4==T`v zXy7lDZ5|Q#FO=AJ241`L7Weve<&oiFS+?Hjh4$HHuF-HF?w|W9{ppyF9 z?3?;zlmWog#`Q4bycMybI6_3scO0_XEgo>7`P@{uhgUH|r6$rc!#@7Oq%~1=1<=e+@7kKq~>)V52dq++349rDM58l#^?^DE|qp+ znvA-48zj747QPFEMYcQvQGqJ_LJuYE--Y#&8tD2Q0XBr5cLN~Vov0j*0UCwgSrKyd zH103lgz+ASDX`}SDrs&?sHXv^3n&0PH^Eh>@3Udp!jo*%|4Av&ekQGt8Du^%rmVe!{L5nAIMetE#Y30pb?uU}eNX zBCJQ(e>hai0^h%(dn#6)C@83!A(+2`K+A$dO0v=m3g$`)XD{cK_2Z zaUW?)=9xtK2CuwPZC+vw4Apw2ajWnM^PU*+upVD(lEVi?X!9|CJ#kn9w4^d<5#MQi zcB;=CcJE@r4c3(~Cw^<8TNw})E<#(folN|{V1q&nxViZ3C1zCitghSJ;}~u23v$IF zp$t)T-Lpo=tA;*AxI@CNNVSnHxu6j9-X;*P1Cwrol$9?ZO->Sbb&9?>A|+^% z>|NT=X3QPXk@ZW~d2Kt1rDZOW70`T!ud{gug8%Fes=FpZx7^N1pRwYDa22iTR=2AP z1A`4eePfzBpU7k{9x0#B91#&N@&aMTb`oWUxQT@Sw=W5!fUzUj3h+blT{m<+=}8M5 zC5U8uDzK19SD=eunqK{AgdDpPZg1929eSW_eOe>z35beaCl7;VyMubz#_8@#pes;9 zJ1wq#+A6X9aJWPSB(5ms-%P~JK^)~TLqINa`iWz)?heOE2H?j`wI6|T|EB(X-jL*x zcsZaXE96kRq(;&J-3C!+l-B=*#K=CsnCy1WZ?VN)MjtI2c<0JUjN#raK zrIzhAa!!k_h!MVI7+3h&O;F?mBDy{y2Z8qZ6iEpUDg+X|X8yy|*4TEz3_v^Ds4C>> zBKBR@Jc8S-TR60E*|N}e)SGj@CQpaII(cD<8E)we|YIS2HW0H?VoUznE>oX3&&Zv4pMH4?R%-WVq`#>_oBmYTUe)L-vZvVlV+cq^kAjeyHja2je|X_Jc_v8Dlt zu`bI%IWcQAi99sw*>S&=8_o7Ori;RYbw2fuV^8r}9pFY*kxH~aJ;2sch13;{l5!8;FK!Uua2KGa_vQP-U?evnOE5mz%e+(roQa2zMZG#iYWEI{eOx5UB4~LvffU zdDP??Sy*2jH(TjwLe6h~4oM*5NY2V3QHkRLlD(R@e*~zQDzaW@gc_0jBQB51EYxXi zi-UeCyU7Ff{)P^cm-)BBQfZ*I?+FI=s@Bv&JZK#ZiUFY!RhGNeljm0&fsmo}$kujn z8;TeSD9+DquG2z|mK?G4MhSiiv7Q})!oy;p1dCCmRyTuLJBzB{Mmr-h9We`2H@wbF z3oq6K?Zg{?+&$vm&84Of&&liSwq!nou}Z+ZV*BcyzwU0VOESU96Z-#zWN3Gy1ih<) z5>br=f6dd)o12 zqa%clbreApMD&75i(>mr@Zw4m7LIJHSEDs&v7m#p&rIp{U+%v{WT`1g4m{S}Q!tbP18#_G zcde+cF4}?v{jmMfqu+R^Qa{^&+Xe*lwhVu1imj`B-MHfGw)t@zvK zlTCh1zYKtd=r12B>mCL>Sk3NT$4xL-!(nmD^CKuXMewg7m5FCJa)xB#43CkR5+Tux z=IW`H%aJU7$+~%wrSJSf0J`v0&@oF!vsMQ6M~s>o^3Ub_A_Q)mpFpwH8a6bz0tnq} zAH1u zPz=m*p#HHS7rpXtm5Hk1c?C03MN+L@m=cEzEtXZtoCV{KELfybpg#hnW-%SRP($5G zdxo~=7c4nua;@iNLn}a`Z9l=e_W^Lh0CvZNN~OTb_1GgiU<+3Hlj#rooE@G)k<~=Q zl^l6*ri!nAeb5)HXa|jc`v-On&TG;Dv;n4BLCrCn9O@ON5z;E3t~)_8D<0FdIe6ob z_H8Q!@W%{@_%rQMgv+)6sDcYhI^&GDwsC4U1%uel55b+V@aVSg?Z-&U^9L2LwGL?{ zNCQLMt{krU(y0ov8iBI!a020gG0S?#$!=2(Xn&GCSdR$D3HFw>wpIf5>FMxf@0C;U zeUkXI14|7LnO(z-T@F0`<+pyAhRh#l_7cu4pMOXxbxX!*MgKB{i)OuerSEOU@K zB?PUv@M|>KK3tUNL}qYUBr>cd*Q|=Iy_k#zmFH~?0u(BP;Dm!a5Y)QH-@(%1@t(hy z;||kyqY7xh@dMo~C!~dZTkOj)HtGYYk?Gr@jl$rLaMRx5aFDSTaXgcGyEGS}5*Vrz zzSJYG4&(d9FQydgz8SPW3=)yI>ttQ^6lA>jxBPX*R@7q*b+PzfvbyJXF&Gciyyw)7 z`##l1f0Xcd195?q=9@ZE-w+)lO!TnQG16tOHenJ4nKc1>9?}n>Vaq4B&I+14GHG*tj3MTe2hd3K{hG zuDZUcN)Z_BWD1CwPtmFu7oIjdse;wU`TCn@sJ<6CbXMoAR z7qs61KFN}~<&?gc5-XcGR^*!!t!bGozEg<;xyVq2p<11Ef$@W--0f00VnCmZPZK6v z&ipyHhb$*iGLiri0HYM=?rM~mR743vs>*joqQY~^hHrouXXuQ_)y+(cD9|(mRr-M$ zdtX5F8{$^mDyI)R1=eYygG%=OvNTTc97CNcTk^SWg~HN4gI@gQGzP*yj_|Z&swBQQ z+m!R8l_UFX~qJ2WU;6gte1Ai|zn-BoA>geFO-v{2=HQ02mCEIA!MtJc^<7d1AUWM)|YC3=8sWS$T zQt6`OZ*6cdj}UugVMR%yjWS7sD!+mdxf>w89{AQ=a`IH({3XjnBqru$P}SUn>Fa3Z zJykh*aohWqyq*0Qkaalb2bKC~sX;DF9i~bq{Su!ad}I71Pm?@>E^^pbVod$T3T^~p zOi#`^G{L8gK#_O$iugKg30ttx_F{+kPRT+$E2niJp4DvT;Q@^Hz>N3}u2xF+#hXSn1SjY14g;u@=kd*@M-COE)xEU7^`I;%H*C5G8&nN zC&8jX8H(u+k_A&=X{TdE?KcZuaT%eV+|4Mw26h&e(+IobFJR-F1l6VQ6jVl67v8hT zWScG216Xy&mV}4-h_z*%=52s34IQw8QMD!ksN*8UzE`8v^25?E+jQxa+6A>xD#HNK zd;wcP`p@a-M2)-BBo(Vli0=;;_}X}N%-|M;1Yxjx-mPaKA)CIT%ZygQkPnOUbPU}= zg4Epyh^5Ou?Xb?F>v#Q?WYmj5*&6MZN`!<#mo^s|xU!3n`BH z=Hry0wd`|xqoewphmk++rROA`Z{0)w19KJsGt`libfs7yuS5XVsZ)AHNcrjDd z69qt2*iXj267oxQXYwtvz}$VBNjaPbNLw&U+8JrLXGkxGlAyU zPmk6$gVXaE2x1m$P9-878!_(#QWY%l>#FMY56yX?j=9^ApHs>eUsmzEA zGUQY28fYU;QfAN2?>f^Ro=Uz>2_^7e)$!!zb?`Y_BvERXc&|+a#DH-gb5+;7%s~lK zwt&uGdY34TA_<4kxAsBr6mKt|zHcV~gakyT+f;Y6Usm=;`q&QM5SriZ{~Y^WKeH)L zweDCMqmh;2ys~l>Edc{k;M1|Icf^$!{c}-#;Rh&+MeLZ-$Z~GguqdtddfQ0?5L{&K z!60*)u*YJax|?*Iq`@V3qg`713ARSbTZ#?YJ*#KZT#P z-f#TR{#{~nX+i}A@1)U8wE?clv;YyjMaHW>tN(?pv1+SJPDw@Rp6C}vObdy~Ha8p{ zah*pyNrt7}0&nvZyd}pq`zbTk#U#DXGpUoy5Ur!2L$&(|2^yR^B>lO0Ia^#E*}1NwR&t z%Z(1k`xX~f%<`lL)&88_V<&3R**g_Y$li~_4pNThyA39=AjeV`X2SPQ2OlE63U(Ls zcz!c{kGrM#wpoGA|7_aPzGN3Z&2%=Zo%BX^+Ave;j8Kxff0XoR9U?okC<58ZQ>|&p zqgg+tMU}!JMt@T*8awLd1Y!vE-pGM+X|@tswl?vyX!`ahXk+M_pyc%G-`l7mU%Md! zVcdn)xkD^=Z`*fW*PlLFG=3pMtfBo~ZO2ax=OxqSnxPA&d?^XnkcZ!*K8rYf^Nwi% zA{gy9r0tJ86rAOwxc50eRHYQ_2kSHS{B?1UU5upxwLx%1xa&?BK^Wl!9)fd$deaLf9gZ)wTX7!-WsXbzatu21M!ESUPnL zHa5QNdo+?|ac8wt^<~Z*-@-q9DlUC{P!s1jWA*=0^%f3QbYHmeASEE6C?Haz9BEKO zLP`kXdGD##{!KxzA$8Do7D}xf-SOK_bX1R+cMe$5ID$m zr$is#;}8MbWGQLs|J?H9GC%WNz9Mo)QFZY$6CA%6f_Cs)m_bDoZ_xKL3^wKhm@v?`3MzvPQwv%avyYE#0?7~N7;PahG1h`h? z1tl`XVZBpj5ma~V&ni1-Le*kV`E32_8%H>>;5#4Hju+p?T>AeNI4`aFrsidh*i-&yKHRnX;EJUZ}rXV7+$Mr-+^uu8t2OS zsRM)AeU(N7GtO ziUuMxY9LJ6bt_?x@g{z_3+yjW#(pg#zOSHw5=rgB(JMWEs~THebUa@Q3A6*B-oJcz zTQU>|L=0TH&~Yu{tbeCY?5QT$)m<*)2JWtr*B z!PfW&yGMK7_I5FQdQV5a4VK15#-kyU7g+}B9}@kQ*c4Jg(q^uPvdvdny(;0&7t1R~ z2+;B&PgU|ITQ%;Dc0+Dp?4uE{K_O%XUnH=tv@K0snyEeJcRyG^B&MLSUjO7uGXH$2 zPP!F14fz+!M;sVuTBeB7wN^UrMj$Z$hhW6LaE`H7k8bbe)1F1sACge`%W34mFI#Z> z*#`F$H(|a+tx)eWLBHe0AnO8;XWl#2Yw!%Ls@jq?72i*;{uZRcv>{1LLQ9(pSA0Kc z!z$S&#AVymJ{bM>!S8Mrw{Rz7JFp}`&`jAxM})g{Fhx;+F9uND3ZsU0VrIeAk0N1F z$-Qkq64-bd^R373O@6?NLAUkvk8aWhvza}!*n#2!UWn2Q^p7B_Z>L4!4}q_}ap>Wc ztWo4+%6CsvWVnh)e%AtL=>atDhZjRT{z!*~2{1$oHh}H;zsA z=hO8=W7B3J!3XBdXDTpDQ5Q*}VLIwTbjBaP?>C;1N-VE4Nu?ec7-;llxUe0$Q>F%1 z1u6t6>+_WJ$;{_4dj=qPR3t-ryh7|Uh-^amcwuX}aQ-NMyZc9{w*w_rHC|>Ej;ldP zoXQmo@?)Y{)_>V<03-+mkWy43cABd3G7@gtP1UL#DE zW`ojHEw#~!b@|wIpMbuJQ~zJzvd$iPoWL`GD;LqD-Q>RtljyHhk;>oOB|yCan$2D5 zt`05WIIgyX>7sa_sxx&y)gSL>ejNHvi_BCfebcUT5Jmyz5otE)A*zOw8H2JrN>QM+ zGoFA+&5ksx#7~QJ>cu1zMW$BY0C1U8yENBve;PB-i)F)-To2Iai^${T?an~h&bBYe zth>fgvawNav^vgn$!agD9)t204Bt5p1EhDtyXxKDqfaA~`5Iv6B`K6P zNxhnoP)0znKWQg2sBJOp{WL>`dT8qz_(*KOko%jnXy$U3V}ua+fsFwYr-2JKZuYKd zf-O9)VmDf#pbvIqd)C$?5Bm9>3MT71*u{+5t%>Pws3cNV zd2471m%OZPkEkG!$a_jEH*3=EKia#8mrhpgrug~=6D1Ia- zqhL=3cy!X7g-E9b4asXUrZah6g_U!N6ZDL=HJV@(zX2#OfS-u=H3*AQM;80$Dia>g zhmxhhscsTBcTQV}6%Y7gdW)PeAZ!cjP-e!nQ#OAQNh2{sLfc+y%&g`;@MnIJrI$R- z^3=$o@hyuLKg#Wakdrp{DTiu?uo_m|ZEBGI5ss^CZA;L#r$-i!RF-~fpjHbg6u7{z z!P7V(J0~7~K@_h0Q#OGWbm#EctFZQe1$c92sjYMcXR8N5FX$ zR|Oh1G2G4ab8!ZXD6HT78tVU}&yYqLoZz7Rjxg+i=leUk-zLgjsSuik>*b2?aCK%8 z6&h5>R*61R{pKJWW5cOry(12EQgED~*Gm${0)JJWoM2GQsIu)mt{9j<8>8M_No30)^~y&UT;IoWMPu_xrQr@EIK2z9$x z6#`dV;ENQSUB#cFN~S;G6CcRu*|=8R&&bsk?*GonG8qX^|3=5Ea=NqBr&4=kErRze zf2uifbhG+)`SaiqK{Z4xQ?qE^8GJ*9r*Jg^mN2CsqFf!$eOLt+QYg0*KCV5J_B!lZ zQy+T*96_B#Nf-c9#g#hmSDh+-n)O^e2FjS(HAo)BgK~s;muSQXO{5Z`>5t^fx72Kd zETXywgF~;@XO`_(*%#9`JAhpkn~t=U8aYD9F)?E?$9>;c$E#1gONm| zzM@AJ9=VpM7EV}BE^iQCi;QZ2-q!vAphvVM6uIehN|=ezzqZ*Ku>xoKt}d3E3lk7q zu9f{YO9iKx2f)AE`%|ppji)8|-P9AlHcJlwtdAW2(pExWBpmZVq^5&*^mXQ&|MDoi zzdA&x2|_fA*3gXHZ?--^4yFu)#S0rO_0e}mw(o@yqPnf=)`S3R0o`R>-Vi%S=1-TU zVpiR2%7s055)1Yey;9Viu%4kk6p%!pvDI8mR=Qpf@2oXNgH6)AygcG7&eo&w5iKw` z3Qq#RX|^!Xg)0+Et+gX9k7!O}{yQ}Mp$fAxqkT98hNCS{P|%# zZE)0?5VcB8*oZa)rkx=NdUo3@G81K#nPCuo5mjEB^K^EQU`YPBNwE%6_8{4}5V-Vu)q>ca-VY*3l)sj&|gm35q8E@Fhh|i zp@l1-1WwAWkIYv%G^NR)HgSP1wVg;u`X*;GsE3z13CS2aIO#nC*CRSRPdZYEDcyxlulpH>U6v;8 zS^0{FYZp%vV&>ghb1*?EFa}6(B7xhnCvbKaYLK8OP%!7(`&S3)@Z&+ZYf!}(&@eM9 zD8*SMoaf)jc9O4$ZJNFvo^so^0io9N!yM>~(qhI^m(Q2vt(xO4OZh&RQA&RvE${hX z$|XI*nZXd|K*8Jf8>Oca6onjKxl>}I;|BpB2bk#|4magJ6HYhw#O3r&h{C7N+}I(j zV;yu}V7h;QFF11fhuD#A7dn*I`=)!7Ft=0){gV_}RhBB&LQ!`{$}%!SQp|b3Kvp$n zbP=x!{Rs23SC<($g_11uD$Nh)p2u3EAlK`c(U>9GVcQ|8P!dfk7;;*P zd82B{B6XrNZ=%_#C@D~Y*wc@flgEA|3@?=jGuG=uRTtV!-_mLhRMqJsn%dTuc+vA1 z33HE^yp^T_#_rBjQmDFO|B)K_%G)v7FitBl|AX*|M@b6wF@T?1QlFjHtgW$w22Bt> zu2r*tnrgZuB%gdFaypV&RV)QW(i1})B|_16L9ZNOZ}n~PZUWiRm_md^kL}qDB24#Z zDnK{;AvAsXZVk2@Jl-(%!FMA~g%BGo)oLxH-&i)~n0YdU{QT)$_)uJoiP)Hc%1*FT zAhrVJ?#_*rA;_6Ke5;tEow6xWW+K^t?W}&~DcNQRzR{SGop-zDFl=k)9pZ=wxHT`&Kg_|&zL~)bbiMO@bnYt?G{BUK@3q;$f{=cLZI`? z+W?~{2-fSSF^rqkYjwdQ2>UryLw_|@qBGc5lY99|e5&lc3kpl0k~{AQTr(F96sI;j z)fxlrRj;q383nqup-$E=@l~dk?7r^L>?k$X&e_f}Lnv9rn!o5k&2WDPJ;C-4s3@q!#j1<#c&p1B$ zDDxxQb^jF#V?$)dvEJwh6)PzKY=eFz29?q#gW<+#GH8bL@Y#h}z3ZK%KGUTzZ9R-@ zfwmPIvF?k%r;gWp+i8qEHM}Wvvxt|y_2tmH5*M58RrLHKg)h8g$VFA0VKQ!H^2v4B z=&~dKZ!hG`To-7tiO=xNt?=1{=H^0=FY@H%3dUm0(DST~s^((v19b{F3Ur`PX=$|N zOUU@f>p3NW#sVe_=v753>*xB4`sMvjJ~u;l#zO}j)lREIU=`0CnJWTVF6Le?-O39F zU_5|-`a-IKz1gU%)Ayy^z4;1qtA@G@kUU_?BJ+)@yuQ zI};6#XG_f^wH>8bKlGUKpzS~*aaeBVva8Pg96_aBq{C~^b!<-4=8yncU&JxlD*gxV&FV;C$*3BdAQQ# zg(V$P-snpx%Zv2q+`43ShqId@&W{WZAjl@ob+Ax5R42zin=ecgEJGg%pF;q~Eb3WG z)5aRz#t0Oi9XJ_3TwU7_I9xCChCzr5VsKJz4v!*TP=PYa@mD7QstE1NT~M-jC_KUU zeWKUrEO6_F0kxye%KN4tZnl_0uAhLdkbaQquCwB>gtY{4EC8W)oVXAK<_z8aEfdVi z%#D)urB~_X%h>+oB{XQ@@jyYo@mieX82&BDc}7@5d?YPpa_0MeVO^<@)yH2YH<5lz zsV<~-kGS@H){e2`vAWRXM1klE5XJHpoDuh>Gjfa+=_Iww9$Qkk9>H#G;<(K^g5VTL z^eqbU*nJvDii>eo2@8W=_@4B}-|rH=sB}#ouy-01P*3mc9>y0_tNrNUaB@NeaQr-p zY|M?n5??vm-ieti;}NgXMf(;FQ&Uu=pr7N2`C%46JFe;!ly=yhr|Z;+LXU zYQs{AQhAYQrEJUH(SAh#-@0_&EEk}#WB=QLN z$pQ7iX^s9)dB&AX!=v2et&xp~+>}tJVWFKB!VSo-07jam35&amh zsCuudIZ~nN``VhD)l#4fNuA;NDe95a=>C%>lsqDQ>JpP6!0XTn$M_X=RAhS-hPEUo zw9sw3{gNF-3y zOxNEe254cEAvF{IF+g55VGrc(Ko%y>Z-6`>Z`RZfYwTzuw;jm#}BHdk(Qq3d~mB=9R%eAl3I+2^Dpo44tG(D=y$Q5pE@@V`TU_qmYg zt{=Z`%NJ5pXsy!}v<>etw9gk~xIY@lbuHW-v|Sv7+%YU#avXK!oWIV`l=Pmp+RPIAL|SIrqLA>Q8Ux#$=E2j8O$_8{t#p-2SKTb8=c$G4KNaErXj(eP#rmX z!gKev#Xy$JMywF%%QiXASN)d8ZJ%!%JrA$;C@O)sh`lg#)0`Q?RpGALztF(6W@18w zAEdooDR{1Omxi(9=;h5Z;U5l1Fb{S!ftd{p7^HQl{3aunK*F4@1hupJR&_xibt+$< zDX@!3CH+)Jg&w7@4n|9#2$6uw96-x;&KlLBYEC-kwH83KUCxrJVQ}(&Z3J+k<`fWr z`U5i1ftl% zLI3L>w5_~w7)1%PfJzWFDzc=Jrn&R3ujg;$m;G0X2>=)`*dq@*7Svtc%s|WYm1F}d zsL05R{gNO*g!Km5u<&6oJ;0J4ului_U}vh0G9|5J^8LhN$76wWQBL!&v_taNhY@Qd zX>ah4#{u8d+UY-(?OSqN>S#>CyBRpsBh&!Il2M7wX|F)4j#|jvFAt7Ceg5B*&AHO4|33QN2jemSPHF(H zjXlXMmRA{Rl?W?x8zi_+J!vATJ)vo(U`DN{!xqi+rbwULJ9!y zD*ud;=Sr1Tf-fvtmEA4t5kZ?v=bmz}<|L@_*sL@>W%4mp*A0ZG57Hb7tKvYq`eAFq zr}jeKg}Baf$Z6C@1wa_w`0kLv$K%Wlg$!mRrF&KqJ_^og`! z_&~YC_2a%A1`2=hG*V8Nk+{~9@}aPc;Cu(eO!V*&29@=NMWkpD``uS}d6N-MG=a(|g3is|9tu@7a^1peeOuh@W4rPY#=r4WBKY zTp8wbzVai#^PKZ*xw?j#-7VLj_0U)H^-j(B8DoYeM#Tc^{xEGn@rVR5-`5GkGD%`S z4@7*{b(c0*RWm6;Z3f>p6y{f|BKE(j@7irwT6XTXBSv#?KCT>+ZQdV~$a@*<@PK?zp`s9g7 zkNo}OiBP&-zW=+86cvHzwhQM-BT3_POy)3@_2tftfpv0$2TGQ+48uYDbI-TP-Ajm~ z%AUy^R#%l|O--0RVX^ce0y?E&Q>o6!*DcK zdPZy;?$j;)OLb8WndhvaD@sAQ{Yrh(~8acEfB*-K~g{WCA)e0!pLW@VuD~UYKn1a-+wgyl; zm~PI`2)DpP3G8vNyijVj%irj%?$6S`6)Pt^B|gVSoa(|I4H|1d$40LNZO>p$Q9>K! zRT5c97dCzkKNXIjd$*v-_Ii(C@xrPt_R=57k;1hO9HkoHr2`XzHDgvV@GUFG?5h88 zP>k(G018x#v%ii!E~JFj*33-1cJ7 zKe)cYtg4wTD9T{59CBZ@;!dXC3_YsW^_n`}i26xdRMXSY0CQOkzZ$PKNQZ{}Rj>50 zsD6_*L+$;#0Bc6(_5M+?Zxnd}WcVTSRegKq zZxvx@5!2vxI`{)G1L$d-l8t2vWJ@DRi{S9TstGDivoU?@Z*yLpbQ#Ds(({u2+`{=pG zFxD7i(==2lvTr3RIM6l%p8G_yz|~D)@9Rr#80xs|W#aIW*(2MEef2B++J))5(JS?5 zrer~*n8OQ`jn%agF2{*STY;wn!xslvOvG31S8AouP?OsU0!BVuf62m)0m=0w^kj=a zlvL+re&9P8JX(bM&ut0*`t_b(97*t7$+6AzdNoX@S$11t$9|-m$wLekpD!mKaKBc@ z0w1N~mvk^fM{d>JxE41gC$y0_o=->Mov9O975U0#QpG@spOem~WrR4|)Cn?)KI2xR zig;Fa2xmj-MRVou^p(kbA%z?hlQS}4z%vh_kJ5g>=QC@3b4WO=YqxygISvO`uwm>G z{#OLg%gLPZ&6SdlBE=QgraDEgSBCz@Mg173LyBKy8yo7e4R{u+u9Fxo{mm`3r$MOW z{#Z2LJ!8(``Xg3HmspRm6b3vMBtc7Gpuo=Fz4FVe%d-qrg>pIL@#%DBKZ`q1n&^D1 zL2Fg)-Ql+3b?1kczS--6veG0sMbB72vGOdz8-)rq%eW&pW>?UjBr#d-e5Cw>2!p=j zQ%2WVin>J&+xVk${>7_YnZrvKIZZX)4|z7DgSL!ag& zgau=OdE~7dN52H`3tb5!c((0ei08M}P#~qI6>Wp4vP)j;=iEI<+O zWS*dY%0(NV$}(ts3NXX$J@TYZt!$EdOOK~k{n#EI(!b|I0+S~}_n&wpuX!I4!DgN3 zY_6uHGvANp;CP_SeMWg1&V;If^TE{QOyN&dv-2hNDA6e#d=7Ejg$UZpk5RVSF@%!m zTP{iuZXC+Tc+?nA0`RZxCKceEiOayzXB)r6&kY0am2i5diy@HAU$MjMuUpJ zxx~ar2eTF+G+{&3`^(SwFwdFyx6P5dbUp9f?DdS63UNRF|K-DFyq#@p3aoELd3Jlt&iRI_vpNbUk=w_}uJ2 zlSXrl&kI#Xob&*F8yayD`0RWcsxDNmE2hAkXP8Q`C>0q(P*F^XIE-?AHv>JH*qgd; zk@39vR{O<;PItWZ4E@1r4cOR|jiNTA+JlIrr7qtWSLTU^1|~}8)lp?M(^tc88<=^g zM_1t{Zc|;2$LA>Q(>A8v6t%4JIen=rsV`r{x7g469@J_+v!cCmF(o@zO5*VzXYi7H z!3UU_CEJ&ZPv`@lPM_ZnZjj6X+vg7GT zIMm+y2gYHC0RAj(XKQ+iZ<8;-x;fWYTXU^%uhT6ws`4s#gUzR;bqPN%9evAL)mU1g zDJ8KsAnhsZ%=;$+u%913L)SBt^3o;gV4_&bdDbLP=8A{GGcllY?|W71YzIc(+EUdFcgMV3P0Y< zA?Nn`{WX=EGCEh$>364>>jua&lyd0z`z3>MI)<`D;-}KsV~Dwt+BN9^4n-Xe9xSw~ zSfaA5Z^Ox2-GLc689`Y_XzHvB--lR}GDFS0pEKy~u5VNe(kh-{O-N9P zE$HGb{@;H24{O)Io0f2uEM|ZNqk8?KDm+cO@7nUpVtH#a$4bA%a_$|`S}|vz)MDy9?f2$_1ya% z7$~Xh@J@w6J!EZ{aI2zfJgSsT0}u0`9V`oD-j`UEP&u>S^-@p%;wKA)#a(X{K<+Kh z!bdoMTaxMR#66NOI@_^Z&{)A7+)PwFtAqKq6!Rc~$zOLz-w&6JIVSSF%^lfNJN&nn zv(^r$s)Ow9DC4^A-X(hnA@kxUdz1VKJPYz=F#eh&UO7 ztjlI5&8S~mbeat&EMd0UBn>@XAhPRLdu9zH-rv;$`~r#Z*p}cA8W)E(9g^;~%Tr7s zwq5G}w)8?`?@pm;Si!p~d<3qy_qF6gI_2iMH3MSY$ht_@_DFiuq=}E zpp`LD9C)Zb!nn})Xn}ZszXC!JOC`&z^q}nz@carpN#nVSpYf$S2;%e9e8c{jAO9R? z50z<(WGzV+v9^{LqU`7skuR{^+_<=`2e0TQ$%yk zxq&VFa$g+App#Xti+Bd>IYK9n2Zl({b6UMc&1x;G*`0G8%GF&b?b((Qlr65#bmevH z0?JOXh@<oSW-LYJt(CR*| z_NVoaz${V0oYKj3x9={M`uZr=x- zmgP|?jf3i=gZ+v?d#Sa;wqaV^44f)|wY%YGJ2cok{Bj&_ip9tC+X)?lO|kUvg`A&O z*_qm8R_J})mg)>iX;IA3yg5)~<*;})TBd{D)>asdr_EFaVtOdCGWsBOvH zV?x>1H|waNh2hVBaf>|Z-6su84zW<&M23Q0?ZMWWoYVB{x7r6O=9BSXPpEHFZ6?(h zq15eV2GPpD!oaC4J4WjXwH{1aUWQ%$`H}N7Sx9Jn(61+3;c4^T61`3$k|Wm(f9w1)Oe&Elq@iw6b8 zE(7jW|2KiNprhMR#>h+>L)zMV|G|K~r+wklmhLC8o0lLTf7bC+hcQ8!TfC~O$&<#N zoY}i(+$=mb6Ivm1;+bgB|0|)=b}-I1Hd?0cBk5hXe=Fs3y^vDv!B>^qV)+3ks*C5t zA1mJBU~O;me!ECQY3#j6iB#x9JtlHL3Xe; zfMnXoZJU3WI~^cX>OL^oU=6*m#i+$ijyPoS=V7*2ZgO`rpDrqpjO78MN})dGpC=?E3+3U?vHNc$82+cr)$nwy%hQrrR+bCB>R*| zeDj)<%e%ECrO~7-SO-Rl6sz-%6*(NW^H^t~pb8a{INZgH#cF zK?zh&-4#`9+N#O%ztPGmD~4u`7xx7JuFzMy<$N<{yt7>cYF&ojBbQk-_wlSck1R|pJLpY)*al)0 z)r^6yT?Y3x-0{JwLVE+>=mjYQne2C2rKWz#M;iTqw`0Do_LSp8e)&`F>asY2> zvK}q_ibB3OD7WfVFDzqSRAwk~d^qdX9Ls99LTq35G!b@eB&*-z)o%CngUib$#KxS~ z+vvHiUL@|p9;{}_Au;b>Nndk7j;RfIvbKN~aM>l+%<1P2@=f)bby*%1(sYmXpT&E7 zpBufK4Eu3}3avVK9W1_fWJ|VO_ubN4RyLIkYr)5`lD&yGQCwjkS(O+4m)@MCZV*DD zBQo1KZgwh;2Etj|+aW`D4=4;uAIe4Uby@s%2=Z2hmG-sO=36l*&kM`6);At5iC?f) z@SZlwX7Xj3`KUM1Ef?crBI|ik&R0Yx zn_Shc$f{%)!$Z6+bilV2ROfGtsj$fo@&)Qh&eOkUym_O_W4i2f^rKx<{tvCEUr|+z zZynEjm6~4ta6J>o_8IgldhpJncFrHh8p%?k-2W-D0jq1R*pgQIPUZ#0yach3{zVKx zjvBaO-Bm}fe;DQ0`v@znZE`%0%9rW=@J7>vz3{45e06zlrwUo{XeT#V^6cAvi33?8 zymyf5pbDlgUE!QKH&`dVcm{2!%4_=&bHXZFS7M)bZYMm@q)fVdMZ3~O<-^Opadl^l zu!rgh)#*@dZhbD`aURP_Us$=Fx@&Zm2z2M9p(;Zz!=#-Gv|ljDYu9Q znH(h#FGcS2dpW4+a&8#zAHE_0tl8MrSi6 z8kPZ(yZ`1~K|OfP$)Q=u(HhlJ-JKMP=_M8YTPDUAo23M9Q!r3&=KKE`C=~zYsy&JK z0aMHU!*Kcu-NmEdL1e(Nv{#i5f%^dAzi5$nBA14CP`D?_jqW<23 z?sVH{tG{Gfb|`L_e;(Q3X); zmjOW8EzMO`VlXqiM1cecwJKbY#&pryT#&V0D}gL?j_q3xqwCklL^p0@aHT}7V)t!1 zIjIW65~A@M0QP*=gUu(*0|J9t0^(l_v!!W4}xf2oJ>BjX zN0L%5+##Po*Z2EAAF9F@N;Wfr4c`AzkBM(=)B z?{;f$k*iqi_KQB z#uef^74pFRAhEw9;`3ewRI1G4?C6-~ zyBGZPbZ{CsLOu3~fva3T##;71o+P29D}JvGNUj0vycDy;nk%F_zCS*>>|3tlgd%9L zzgSvuXZ%Zm{N-C%)6PR6`^r3@w@t|d< z+Jby4%>GC@rwNLCSD|Xe=WV2`eKBQMH4I%oXdHuGC&!)R$nRh1O^Nu#bX;#-eI{nU zwMbTy@`*n&P1LsCu*F_-HFIP`VBlG0rxj&t2;KV^V&S=n$lA0HYb< z16+hVxpiMu;HvHLg1l-<1vVs?(+3GFe)1V{s@=ui;&iV?&yTs9|K*)PXhyx!`rP~3 zjYH;AB~0zEEc1Cah@|QU=Eh_B*{?G!)AS(X8n#?LKyCG&I?m>Q*!ij;rzMh!^{>l2 z0OwWQfi;g%T|f2NF2Jnhk#>9rRSt}wWB61OQ3MGe!LxZU4za*fJC*NCT|5EjqxS@+ ze@(`G_%BP3<7@0J3MR~~h=Jj8!W}rP4w&4X-8Aj^`l=}3Z3&^W^$*d+W~CleOn1&#c{2i zN8jy3^x;DXT4DeODpNysejPgoIaxAcL?i9#RB0j znc07nNv=J8O6a?&C$@w~CZQ%0x(+H&g!IamCs5Y#@x(w0SR2AyTk{yy{14*k+Fzv* zkiw&hs&NclqTkPpcv(tNXe0M^eP7oxcQ45Ga&Kv#eP6PF(< zHew_HE-tT#A?EGYC;0(OYcSn2Zt6vhy@Mp{R*Wx+D$#J;mV!t|+7V@YSWBql9r(&& z*zk8vcVBENa6AN^OlQQA7M=Ph@LVZNK1_(CTA-+O_ULoRcCfmG-w|b9$uAO+-|f%+ zpiMnLB(0FFS5TX$Cj8GgY$UXQ+^zVi3eVDf$e?&f3paMp>9-Y%(wsm0Ry8&l5dl2f zi>W&j{Krb`#?Eh*Zm;@H1=_yQPF9|u6eC8Jm$Ul^eE8+4DbxN97DkAttP(;4iRiPN zuxb`vE_yCF81GWO{lLLp=>@G3G67}C-X>NO?bdD6yPT2*k zMr19=luVt!QodUrs);9cVPY1%H#hc>hR;n3~e@Y5M4^Ci0$%hbM_HGspPB zjxN)+7TU=}BIR8H6JqUUPe2l>uQosIA4lj0CVv8~r1N1i^RJZ>wtT(e@+nkz9+`m2 z?K9C+SGa2CBipTAN`aG%50;-50rs|HLXaJ;J>`EoSkJ}pzDVHetOCFg-)_DN)CPQv zJ&T*OOb(-v!UZz*zHQHk zEgP%wt;QbI+C2UQ@vyu} zc}@r*?NR&?!rBx8e1KKy&pd3t-Q%(UO#2mi_VLz{ljOXiH|BpkX|f1%-j7l~vqSuM zlaz@TzwT)=-T~Gf=|MprB=})(O9f}&WpjF>mpBNZCjig0&()I3(yqggm9Y#pP`%Yeq$L()bm; zSUUeo(k&!m>Zf90r%wfsg68SVW~`p?N4=GHXGh(WZ*suzTab9Tn%4utAZW~V>r?Et8Vr#k(uk1&m$e2Vp{ zWbEQ!!pOJt-lK(iX|Mc;-_U@UZ+n_ zycGT&4$ zv}!*mY7XypMzBQL6`lUzTD4ucj0B!JU)(^X`*%IAB(a_Tts7lL< ztk~0h>RznQIz%F^DPL-k_ag*&E`ZSyV$!TS#%6cO`#`qxaa&g6HLJul;Tg+Y=aEd7 zFGT)13PDV+2uAs4M>s8pKab7wOMk4b0~X~c-JD~Xml_Y0UCcqv03KZ=q~nomZF5VB z2c@p7Z)whV%%cYs$%sRTVedkt@=G{!az-!8|6~?goES{5-(zwBC<6k}l z87oq)r4|JPh-(-sky5wXRV;Z`+_)x?+gQ0*_%R&h*f0w}vcR4tg^>!RP_ zd0UFql)ekus;wS;#YR<-j77^U`oh**g2G5XGh>g!!}cwi)7|cdA%?7oP_2`-o#<*N>9lE@%vp{`31O z(JhoXagb@lZ9lZDo`8O9Rj%cWy+9L^I$wdUIeU~bs&9kU%0O<=#H8KMkN*z*SrqrC zDsqq9?BM?;XW2O_^KmV zugmE>@s!p|^FW{rP3Ame%kEAz~N7`BJ_z5hd8_bj@KJSK(wVf}~i7ZZJ@SO6SN9ojhK=I9_=0uLJ>i0vE`E zc~m5heGlJ5J`9d3QNlElYGj!jv`p-g%>kO;|>t2N%GsD=qx7i zWz0pZuaLQ?y~lW{Ja2(J1N45Ip`^aO)hxq}IOJwUavHUI#U7h7<#kzEHd~s~_)w(W zTvKOc>ErVv0{Jb`h8#yc1eu-4yR#Z?Y#QerY{W$x@C2W0y1Av?@e(tq6k7#Xmat*2 zlBWNn)6HFJ+wHMLM6mM-vG&(>sIKpscO}{CYA-F#C60)ohq)&&WUVEHO8@OaGL=-$ zBSzaE1YBKKvJQz`z>`jSlmcM!pS8$n1XJZ3R{zliuB3f3%}I0xf&cu>%|j$C20xC! z3@zxt2ez&076rtv=#&kdxOjC9i>|d|Xhsz)a-oKv+kF8u5xcq3RxdNdD_QQ(Sv6a5 zsoM_4-uAScw@sUwzkA(y*pnt5~1Ik8Ym(;uW`ez-#n}Y@aELzonz%j zQ3Q_m-$Y(PBjS^lfMNayQ0%ad-Jc3R#Rc@`#>xvlB+Lx%2XDnzi;nbYgnblcX4-70 zeOK;?4OJ9${*AeZfEn(N$rN6Y2|)Z;|`Q&hWom*5Qq8VZBmjVI37!xW(tB7>(*4i6|TUS8xHWDQlo&eV>*~tMgtBee_*~ zh|zAOb(ClT2L$ufIIAUKJ1^z(a**M=Bo%||73O7FzY)z&LE5i3KToZxNty_#Eje*vO%S#D98zxj>K zAmRU67KT$8OY*@C1<@=NC$ZB?`u-_DmW^Bd}s2?uc-HP;K7lnr((5vN7=fj+-}PA28of<>s)WG(9~VIW=}E2X zS;{A(F_3f2Hq)Hf^>@9^vDB>G3ohLf`@=IT7oRyjpOy2dh zkM=(=RAT!)p1Kx(z|b5FKt4rnRCjt1t4D&$keN?3%llnt=#5nM+v*0@M>jR$xjcou ze_mk5eFB>`9uq#L_~u_|zWKnvCR| zv-*-~IhPXY@0zw=o7(vP#T9H=K(!i=i9Kbz3BCXBGd5IFD6;WjIOxD>IzJBsg7*!g z8L3T6kjR*O!Sw8kjYn2 z2@_dyZ7&h9CKMXdT-iwmWwK&=biFsbhbFBGsY*QV$YR&D<6qZoi56~M02VIU_)Fun zjGkk8kN;WLsxfcvfu^nYF&T~_^wIB7uHM05pa+?6eB}SL%UwIWJ(!tH{};A`=hIU{ zx&4Y?#&5pZ)y&zW=4s8bm>Rpd9;&>!0c`%gWDzp7Qsh11)5bTCz$vp{FIXS=sOh^= zbHATtpWz*c)8lrykFRvc_iS@ayCV{lDMw+!ztGx}1@3;~6wC z!AH~!#d%qCrIC2akmOI00FM>L`dz2IA6{KEv04No&)iScyr)B3E;MZ~OL;%28fg&T zfYvv6vSE*$u25?`y|`dZKoP`6KdrgTKoY9^NFq6T=DRpBCUz7MzH;VXder)N>^=mi zo;;D0)tDnJ`wzVS1~UG4qmOT?^!7yJ0iEWj2Yti@DidD-8WrNgg@S7jGd$BE28avpovi|QoWyMvW zy!mKq($0o)o^$P3!^LcK)tCQ4s{Use(09d{=ZQ87;9egAt$P)NCJ>Owx$ zl9P|E`uWuvDn50PUYc`P@ zP3sMt?Ez80Iwy&zQBSqBI7#D8p<%A_zUNj2%ibsQIX6`GG|G3(dZW49#qRKiNKouo%F!s92$6q!t|xrXKXak`+hbB{F3CZg75Y{RU>u6;{Yh zJ2_@}O>3<=I{HuQ?6;{*cwqfFzpm+&G)~kpv1n`SCg0a^r`_+US~aIi`H+aaFFYb> zT4KXu_E$$WXpM5n?w)xzAo=9DTRgaBH$AI$1)GZhM8Qw2l)@rIi0NC2I}j5kKqCjy zt^Ap>ED{Elycu5GN^wztL%V$)dYGy9+CLh7fkQLYjijCx@V4RMwJX&2|Bu-OG*9H; zS&To}?Yit+6c3S*UfRNUs){*d(Oy0v-P z4pFJ_zj2~iOXNTzZwS3QlAyzoSRd6(pDU^*wq_Er3-<;x!15}%0ACMM`UcNGgauxN z*im{|>G!P4hY>X~>lC9DeG4Mw^yYWJgbkFR`ibnO$&w&Sb~OeK0cjK*X+|oXes6q-5iu&PU?OAMDzvroIoO*#f64TY8&zk8^iceqSZf zoTLFP3o=B{k0Vr(0l!X)$=1hdkFHeN+#-A%`xGDH%!d;+!f#(-dAJM$lXk4u&8 z_EYFi&gF8!%0dQ5;4}MLq?xKIHMn%j6IZEqlX)0$+s%X|RAl%8*g{!lFIN;fT*d#hIG?j7T0m&tG#V zY^8?o+BG~d9xuptAGkUfq80umdVcr3b0wGlhZ^tGKrWClBhbXbN?ergYFSf|snQ-H z_@cN%>!WtMAeNe581|c^A} zZVNM~K!4%xd?yhibDtW-mxrsM)F!!$G&Af7L+Q&oNYq`=N#Ou#UG{p1F4u;aS8TCZ=9sO~){DJN zw&MK>^$s+HP}=XibN&I{50(3!*xuqa_U z+cgxM!!Cbb#rjVlgJ1Y%BGIE-0Y;;I((Fu5UDPAV_QEHmkb8BGt7U=Hut_zKF}G8l z&q3_-NT`2f3}$iQdZ(Os)qyBVmYvcQZ+fERqx9u+HN85j^D__a9H?!%@hW)Lu0(t-L$O4@@Z!C2<&}}lWCdSPZ)8kWwR_Ib0n#aE&#$w( z6uNBm0UVHk_sa8b51|HUDhaw0`wWSpcD5$abp>t>0(l!02#`5JIw1fAxO+}_+D32@ z=GjiJ8wvHwYrpB>p8E$i_^t8;i7QfUPS1VQ&(bc%YQez*)vU33i*_9xG*PvhO|O&v za1HK*zWsUkOak+d^A%9a}=6vIj%C@R}J3z{#P@NFjFAbB6_)s&AW% zp@2fONhQ|kBT{{{d7$RdzJW$4{6*Zh5Yb?z?F&_^ z7a%h#1BQE<$+!hT7JLH0_nV~~&EWuZdhLK2dvLt7d@QSpp<;7pgXVa()54^(O?y32 zx}qpp2^>UlmWc+Jzt^u8JXXkgiU5}`pm?hln_E@D!KNa8RW{(z=s)8g{56{rhc}_1 zG!(yYa!-h}Rr#za*+9_%iZD*2s6;> zLJK)JoUqmM2Cb*ValxA-k zXgNFzgld?&%MxvI|GBy}lvThK2Iy6Qy#IP%x1fwbzrb{@)``DNNiLtvuBmqCq`bd&?wNQN9;Vz z(o_tGuOz_LXP)P2FAH+W-BRhMwr-*liZB^=B8rqDuHvOERq-lF<%@MI-nsT4B6cK> zSI47IgR|s2A2KoH>x);QZS=Zyb)%;{n^%pA!iy&&%#u8qi=`Os=Md)^#_wy?~{H#Q!Qcesa$ZJN`vfuz@r~-U+tcMqx!Hr} zHu^-JOUI($qQ+uS{+ezooZp)XRPwJu^7#=2wHyarkNWlo>8M#JCCTkCCLKaNe1s$Rcsgr(Sc+x$IybEr2W#P59f+lU)_ybeew%b#CX%KWkvgH8=KCyrqyups z09oniDXgJYj+T@S@341;K##hO7Lj7H!I=o{=TI`QaVG7yuZUbOBLgW^-i`raSaC)G zccIJX1h-BI{Oq5O5IeO0^A#f`yJV0lXY? z0~nR3)(v8M1dl+HWt>rTy2&_i}{MOT4 zNYJG*9u~@%wlW1zjTLeDL(T$igMX%`X0h7>_zV4LPWUZ)ZwBENGeKg5ikbeTeFH$z ztzmB*Fq9y{I0XIbeB4PZ6l-7(|Lc1oT=SOVQj3y?oLPa-I5Fa3q2aDm0m(X|A3#F>%-Vt> z8k7SSRfz$X1owFhzKfh@GLcNA5q^I_yWg^lxpbMGwMY#GWC?Y(8Icg{l>f^I3^=?F z>O9r!fYrGq)V7OIuTXf=iX9VOZzoowDN$7I7MJCXTCRH18{9yiQU}i=%qK7#rKY|- zq_qb%I5q%D1PgbfR^>#7+)%WVwhT|lA0qr8|_&qIv2abqBro?vceY&8@ZYsyCc>%M|y9y^# ztLNP2o(WszH@~-6gHPem2d51sMx=1VN`$fnKtX_Z?$VQeHG4uDV>@*V01A)dV#20+ zq^UeMk`BvRb=LuV;hV*?NOi{Wxn|y`oNAPoUjIFjusZ)+yIh}MGT#Js*13^@sj-{G zJ*)Ap4ZSy-3+n{GJ#yMwv@lQiR5mi1Q?iz1FTYEW%Kp< z+|6!lqNEQbKQ!qK6k`-pbz1@%IES^g&OqKab=oAwXgv0Ylaha9(bGE)<{) zdlx{aD&$&>FW{~LM}%_iV{O>`NA&iZrU_h42v#Su^$H5OOC&M@K^w(*OEUFCw>DDT z&3${o=n&ZJcsrvFQE=~rT}|gQK4BJID24MSn!=uUVxMqex@(KrsqCU|yiTlZVsQV= zS}F`mP993NuRVFWm#M4LWMPV}j;@~^wOw5KF+1&r16ALcD8-lKnY!xJn@hdj?+w)A z4t30$;n_a1KA;rlQTh3dG+KH&5vY-4SKhZ2n4ecwM+}Apvh;niei#rDXVnBb-EcQR z#WUswo6SE&V?a!n!(dnjM&II>J;-FwOUtha2laL(lpC6u$?tSGcb8K}aSEm7Jv7C( zlL=TXjSqS3vgY{oS$W~~q9mFU{;!JedNT*^nDKD)rc3l9++AHQ9!0a!)5|}4rV|3( zWicvo&46L`g%2aEdkfmkF9o%8uIF65)H#37?%t!TRb-&xcIhP8o4`(KWaz2mpVrb$ z--$T)ZT1;QCJZKS1?lX{7CMJQOq3`mhUlJi+MRj!LQ!r2_ioCl=S(j z__=(${H_*($lz%&^h@R8#FN+M zj6{<);md{-pupa5<%r~dpR9G9n_N;!t?3RgilSZWMaiheFDWv4$o$QNs+PR7>h0g0 zZNfF5<7|ly%wp}DWH#1Q^{oJkQhTd&$v-vc0Ea+Ij`;8#iUE$*8G~acZT4?S8uw_k zCj-4+f8)vgeINawz5-h3myBc-!*l2xA!r^M6XoN#NcC6&PAF})gFlQ@|+39uah@7}~EBWAnSGyrCC@DyO zf2%rje6bhf((A(5QH|%*r;Y#RvRIxw!1QdfoOKvkrhs8|yYI1fu&uc`D(@nC54T_b zB>;b@wqrN_Jxw?3pfW)hb5Qs+ZR=pp@p{Xx_w>%NjPgn<#`{nZKAv`fm}mfZ2$Hk7 z*sA7e6~{EE>Gs>AL`g$PQ5nfHQUMnppci(&e9DrHrZCC^n~6VWrONBjU`Q5N$>V8mFK75L(<=Y;zahF zs<5+6vy0L-7m0!Z0Okyj%(qHfO3%XSrs0~xpL;*Ddq?tJHR_7P)mxCLWd;vj^Vlf0 z4C#+%KM2(A_ShR4jceQ%Rf$2qx>TGH#C}y~FMfV_+lJci^5-#(n?ufex;DilN*Zbj z%BR$nXOR9w0*T*Jt}x-`a8u=Zic`Zq)f@Yn8HPP1IxK*x-lkM06(s5k_y~5YMAGF@`y%5(`h{qg7 z1dKj*lhpSLx(3^u49N=?vbkE*4Ek~zeY#8U`F#W57d^rHnXO8A&AG_v7C3RuO;p#p zHvCGVxq>Hwr9}7zF@M`B3-i4jwf#1my2T}#@4XH`LtE2o@V?{qX1qwiHgmMT(IMs} z`_kJ8(W>cJYUgl`^22QX+s>(E`G1;#{6uT&$}Km|hkDuUPf`>dTrggD>1x3xR$DSh zVd8>z)_(=yQT_b9rGNotv=?bS#;QlR?|1yONrQ?*^XdzVM*N- z;Tn0izO!dhKWbsTj3W_cPIadI!P{YWj8Gm;_+{(mg(%HsrU>=~M!2;;4Ex3SX)xj1 z8~X>&#a>e(9swIeeI{}T7XqTw{4$WC*EVRMe&6dVMcO0XWENdi_iFWdi#Mm4l;;GR zDO@|a&&Nx|_uY>_`S0#G|Lkz&htNFE*0c`tHTf+5!5IN~m-?2_<)v?o-IOsaXCCqd)|oyZY=7%vA2$B-m7X@N+FGA z*Wqx%o&DE9dI2t0CYoW$#Ncs7*2I^O`lIfxG^w{`kUg#DVz#H;al5AttL$Ax1ZAb)hhcNTb4E~)lh}o zzkctN0J8gREvxmQiU@m-W}Mc_e#kkd1_l>C#;5o6|?FzfPT|K`Cm-jN4Vc zlp9Ioy>E`Tzg2mMlB{twVA`$2C!{~!^|*%pWb~z?S?L-J_?!3p0bMsAbVwc9bjg!n zRnhfB3RY9zDnD}E7B-G#9moF&R;>xk4rLl_xnOG7J*9P+#iL9=G%Ry?*tWj7zkiq` zytRMD)Eur_csVB$Mi}O_@@7Gi%XBAYvanyfN|S_~M7k3&6E44uxW_+g_~IWNp7__! zpPSLS_cc7Wj8$v#2#?+B8Xc)+TxZyfi8Ho@vp!J6SG&0DCfY~RHz|kOc#u-mmMPaB z48^2;(-b*c23yT8oifVx*~Y}Zc~%|=y?GU0Uno2UC4?;fxdYQzC9@GwRUa zOiIGAML-`8rZ%$;4Qk6|xp=bDR#>^13Wf+N0V-Sjzbb9rxRymL4Q zZPb$N*Pn!RxLvj(6=>+CllMtheQ0|Z6f!WNd!im5Y5ns@wjiUC%v7wByj3QRRbiz# zi&2VlcCD$buK!#k$y4F|XRUJCK~kpVi!Ez4#`?>>8|kBh^wlpHKJ7cx?mm^#;GKsb zxu4J4RXS4WtT13bWQ9PKZ4t8nl4@Gg_UvY`_JJ_m*uHM)%Xj39MbVRLPL^N_BJOXy z_vT)OY){6mXssd41>geo( zZntzEwK27c{ds`*!*W#KX9N?W%QVE?Sdn7Wgu-JY(!MS_Rr_efLL43WRTSrPe`{w>1Rq`CWRYvTHlQWb-&~s$xg37BXE%y;pLr~d39Z9VmocinVX8n6@EnPk85QA_ zM^vTk)7vLf%+!7JF0ud7eBi{@zU^6b;sht{)}rWtBa`G3u> zVSJ$;ICGsaMBlW!y+2x^^x7PsP0hdX9bTt?tjV5h%S5Z%b-6awneQFll7@gUwk;WU zG`%455#cTDBOQva15fHFQW=K3X6`@h9}e1B`l@wRC&_1QeUPb4{I98ps|43n@7CvP z_>#0ykCrl~fV0$@=eQ literal 0 HcmV?d00001 diff --git a/training_bayesian/images/weights.png b/training_bayesian/images/weights.png new file mode 100644 index 0000000000000000000000000000000000000000..03987de15f7c15f22f33d963e50f0a5816b602f3 GIT binary patch literal 81995 zcmV(=K-s^EP)^{QLU)`v3p`@$vEV^Yi)n`0MQK@$v2O@bC8a_3-fQ>gw$5?Ct01 z>FDR;@9yj3;@|4&<>u$;-{R!+^Y!iQ>+bIF;^XDzFVj{?e6X7=H%ky;`H?J z=H}t`_44Yoli=Xn=;-U~>*w(A?eg;P=BtY2=I7ej)a9&_9v>gyqo9i=jZ6<*VfYa_VeE2 z;pU)x?(OO6u8iN-)9136+S1SOx}53i>f))6>adUFrGnZykF!lUHnFc_m?y-^Lp@Z?hpZ3F})y&G@($C_XeCex=>8+9DoObKAn(pi8?!~R^y`BzQ%g*e;snF2U(ZIaFzP;Mo*!R)5>Eqw-y`j;?!Q-%(!N9}w!>ahqukNsx>#35u zxw_)4l=I20^U1R5$G7sbo9Us2=eeWjz^#*zlHRD1iHC}Te1Dpln&z8?=&hLa(bnnS z+WOt$_}Ibhri`_;wcD6`;If|k=jfoHq4c|^+o6Z{*xT=>nWm+u?!m+G&A8*~Y$J3kb~HRX6n|?^2yClNKE33dgsl<&$X{% zTwrx^bZlp8-mRJGmy1|ZRqL{#VM=5(}JjYSv6u(wc?TtDd?+Hi|?u-6}h;VNH@?Rb(t9sGki+00BJ)Nklm-lO{-GZFdDylO@DBuOkR8eWH5L9l4qS=H(6k$d!o>-@nTO*KhZbsTsZB`+zb~!7bcTud(m&Qd(z2HCY^XS&)xof*RMd^?wS2Z zj*WIzegA8%@A|I8Z{NN{`*gXF`##|M@T0?ZrQQ2S^0G2BGs7WIxH!A6w6w0cxVWsW zIJ>l1S6y9cF>iJH>CXK8`qt*w{afGfUbk*-%`Yy_-=Cj9xApw~{l&$N#f?d>#l`Ai zur=7)5DZoXTU#3%`Ud+3>#ttDc5QXFzN2F>(px_@F|qvQ$&b4J^~Y;JURzySUVg&Q zmX}wjczg2X$$$LElWWUQUhh1YLnHb1wd z_E>X9Mn=dN@@DdSA2@vYLxE#Z9daKI?RyK}pH$GxUc+;0aCA1EyoSlM;O zW!kSUAItUFqu0h_fULERbTV5XOh$d&}=jRvJ9suA2Fl=0ye?C9IIlsk=^ZobF-OKdm z`!~X`u8zl$Q&wCS3I#&ma2U{PYx9qvDEjyq5C(jqc(}MUJNxiQAA;W>LU`!i>)^o; zfbj6)(y}yfVV*E7^mx9=^v-c3l!ZLLoVvQ~GVW~diMsCY(!(Ed6YZ?8uP<)izx7;i zdW5&Owl){n*YD5YKZpHIE@FKflTBS+6&08ss9}BW6|L>p+uOmfeh>t&{&?-`)YXZO zNFvfQv9$CA>vIS`xu!q7Qcqs2PED->;*%%KPo6z{^y=jeAe{4h=Z51s-8^79h7Ujd zkQe0ehlf8pz;*b*0bB;qWfynzSj(_aUA$bGc6l*gjFrFM-JO#YfBEp?!u;R!-O;%(Q#Dw5*g*hq;fr(ZR4z zuhM}x57#%>Hw{8PINt9sZZ6I*%-`3=GoGw&YHH$rpsTCN+-K{+_3NOB6YZ-9!Xa!B z2(L~}wM7ywEj>NU*9<~1)E9E9PjI2j%TrSmVEF9Gv!zEVBb=Md%!zx!05@N%`dee%|;nK<3QN&FwsV_~5~VmB!h|+0N?D z&Lj{9TO-1-T?m>Lj#pHVRqHAA4Gpad!c{p>_g+6_XjUa;lD$1M(RJ+b;TUGPfE|{v z%+GI(EpBe{5{KAZt{F%FOW@ghj_Pj%GC1`Yw6#8V3#t!Vk>+ z46wJK-ht5Y6NI3ZRv0hL+aJ!!8p*HyBBvBXF0CtdFH@cSn7X>R@t43w_!EQ};^rb= zbAJ8){jGEN7rQ1wZ?b7pRyf(TFep% z$KUT1gW%!AA{Q72_gWc|AQL;x{rltjMYS0jejgCVGs}tv;fEi{D7e_P zNN5Dr=UWh&Cb5`}n#r1rHL#f`;a4$!y|u3$6Exp*wf-u^;KjA6`g%DaAe@*o=lLVF z<;m)@0OTD$Bm9<@o;`Z>=)uG7$3Tc34u|IAbHj7-I4&ukLr6(4#lpC4@k{YI4;7RG zIRFc#38&*zGsBtbqBNPA>EK(|Gdszt~eI#LK;Bk&o7SBHi=24#6&KXC#GGiqyVL$EM~E;GY}hu({Ydo1SA zp?BB}5bhtjl#v01g$0$qFLV>f<8$1$US2Q&E#)=KR2-h$!Qsy@-roYgTla5mJ)hqM zCjjKaGVh=3mjzDt3&9$&tQfdHKEV6+@xH#4339EPC#|3AosL9$C%(hp48dzpfO6`Z zSg1ibF|pLs0)VfcKHT0ug(JPqJJH??nqC+u1gksyz~NGEwK_Zr4>S8P;jpYMosa2a z)9J;x1h)4DS?s73h|`PM}bh!kVt01P_b~|UIwuX;k&_+>!3lHo)`CLWE2*L zkNS?+7V?^SeV$NpdR;LHDg;1c!WdCG8*M*vk zlUQL>*FfvQIFayrU%TO_XT2(VE(q%fBkdg+=KodCOCw+U#JJ28d#RS8IXyis_dpOg z`tYU53`xbD$gy4m!gF0|dZ`Q2bYiYXVv8tkQy_?o{lzx zC`Pw6zdnx@&abRQms-kOS`t+&8}kbb{E$2R`SX`ApTB&QIX9QX1Dq=`&z$n&>-{%fH1=!KH@pLyec`~K*$%^?+woldxrT9ulFUfP#8XZFg7;Z*$FAFA_J*i;9CCkytd+285ABV{B#p`EvjSw6SvTzNLwtL={=d z#>V2jU0Z;-qofdLQH&o@!oy=sFOJt5giz9qV;>j!;$LL#IntEP?LoNDeVvMp4nn1c z*=dEB3_}0WlH<*VxE=yVnTR_t4(xB2(!AN8C*X-FZ*D2@k>H=h{NyP}2gwP~0jaJF z7y6ajR|JFO6*$uC?G1xa(ZM!@(4xwVt3cQ;n#x<7JgNCnX=YisB@F4^WjU5qBlWixd4R+K)~JJe*SXK{6%qhPFSgZ*elK)%FR6v zge5@uaZyq2r7!lUIY+8s_&y`uw?}6V86Q_D> zCIKWR|isH8CXs4MO9i*Opi1MwcGldG++^>z|*#etF}@4H24QOYLE#bDm)dG!V~tIIT>2 z43WFE34Y*U1l8#;U7lXQNdK zV&SwPlp$Up=u&=*Hq(j+ai+HlC!J7+k#eMMZ3+HXPj6dCqN=lT>;W15wk7%H6Fs~o zg0X7+=zYaQ-mw6gp}4a=#N1pc0O|0B(It2>+xUskMEMwm@%PauSTDmhFq#l@zj0bQ0Q_OL%M*o6@X zELTJ#@a}9seEk{>*B5Yogu`fpU|1EIb`PtywE_qsWR}worOa@3$gvvB4%-w98ylku zxOG)ybhdE}S1LnXU%(1S6A8q-4N;o=lG`AC&oM(UtS~+of{o_i&i9b1=2zw)&prP4 z#KHm~JXY)RdAap=t#IF4S>|mTacEB>)o&;irezs~fLL%mw;&Mk`QYWnB*3tS1H3F! z><%A5Srfn76q6wt1VW7P?)@##fC@o^ZPu6lXVAye00 zT&o|fSE2!P=xgsCtd|VqXgjaaH9^?Y^61{3dql!lPhaClZ$GY-I+N)Q5e&(xh=u8; zrGN%_rIsHOSkeiG>1A12S!u>(@TFObdf^-s3*%vbT-fEnwue0)@7$Z0$|}~^aiwE| zu(2x9&=5=z4f{+I9O!C7AXQ*g9N#s=U8&TBw$-*sG};&;6eb!)i4fMFZBh zE3-}FH-hlFJQ&gNab5A8$6jDmLYzh^uk(rAk7 zsVSssg!&9Y7^nrpOS}-prdEl|pd!?j9*_X?QV(W*3mPL4ROujOlxuN=@5MtgLf8#t z=7RarNuED8IMAw)M^dOTc$JLeDmHla>R<;yp2o*QAA0Lii=U(r#EULJSz2mYx_9sC zt9!4W5)99uA+t9l90mj8pnPa|rZlv)O!M@33&RXLLwpIBWnpu1;$b)t5Bc~>DCF~a zF~MQa?YJnZ$0KjNqxAma!mbsP+$Y)_rf04jp}Bs&qN1y708yg7Puz3Jgzo>iwhN+! zwq-=ZAjX@Bc2p&Uov{^RD6hG`5^ae##t?TlnikiU8Hxo8!sjpR4vRITos^;Z>0!sc zxq>ja9Tm+#_8Yc7DNQi_2tBQs8!xmqt1yy~u@ z`VOJjcl|mL_SLto?pdMnJ{ciG|QHC7)?Z?4cDd5Gyot%?|6gVe;q?9P2$>*Kkim6q{=`=6IffUF%h#`)ogSDo3n5z z#bBdpth#A~l7-Sjlr~|w{Ss%985fz!A^qkp?#(|T2=hGwe{*e##}_EvgYbiW2UA+w z-lz8*=?5PIVOls43KcXrA8Rf+@mYSej|#|~&xfBT1EsW6s+-umBVH_*NuE<(9jn-A z!VK>VzlDuO%jQAuvhsKS{-tx*v6d=g00v4jFQ&x#hE9o z$|>YXAGHt*f$*pE=g(g;HgoFKZC@ObnrGd8fFPYk{-hG7%9`Z#W!>3)xt|mf9l6Xt zDeI6b<0T-1b-?eHgB|w7m1GXTnIjsKQ^*K$rK(hrQ&3uwHbY{M5t<7@5^YN%crA6G zImH`=umjv1*GNc$Rh^x)u@%*sEE-zXVq>GCT5f6`@X)()rrX=wj|HLU_H7`HSDreK zhd%*?r*ltuV3f7cnUFUt9Xj)o3x$W?yHfS1L+>i2X&7P1XAtIpb|MgfE@aO6;>AYs z%Ic_O95~R8064!T#Hd72!L26k#U{z=WrPT8@|~BlK_fEc^%!9Vz6gKBT}{oYU76vK z1C=Uf-RnETO?j_&0*mr_hn6Iotv5;CtR`y#6_q`*HzEkH-c~MhH|BjTxCoBB8 z`QzNriUQtJb3m$^9)RZ^kStTTv!xQIZm6;9irI?RuE`BYLxrIHs4VYt|2d42Kd5Up zgu#Jvv%*$o$|-&Hszf#k-W}}*V!K|i-nOABm3c)M%m$@zKYg_H$mBIl@XU>qH*P>l zJs#!u61K@)T`f?b%PeUy%#42qr0@bALgXCjEmXz_m~;H?a8^#-SK^72l=zfd&OL{e zt~}uN-dLDjA*K=41Yv_JO>(5yjf%OuPZ`BtI5bXb`V63xSVXI+{jbOztC3-3hhj)8 z)niciFa$2Ch3dLkdUog0y(NM8^!1m* z@Fa|;5)5vacxb(d<0Pcd;NXQBzBL{n0Zn9?xT?D$ZgD02d`GT9Wam@2Qj5~`{Yo&P zGRSPhDjPy*)?|ac;A?A%L}Vr^2=Sz?DtL~M_bH*Rw;*tJb!h0lw1V!Djz~u^n21Iq zM8nx+<4SaF!Bl_gY?QIaHU#3j^luO}iDr98ib)v15Jx{k_wx}6kEb9kkRvq+UETio z^62j&Jb=a>3e_qW9s|On0Qb1pbSmy=@i#fBmqwL=kUoUiY;{G&`>*Vp?VyY5<^LB_)!u=>7=UKQ)5ynymJQtsWiR% z2?)=eIU`nDneVx+4`^&Y(gHjM1;B6`vJ7U4EK`~p-oLBIz-ZF3OSN2NsxYDCFh}uF z7YLTz#tMhu0O2~#5+JxSOTnTXdP32+Z;(ekPR*0V-nxC{NTJPpoYcM;a*nivWHPAC zFgjZmqwYaEziuxUrKjrZG4cx4D^!I_LHK-o*lRqLGKD7;a;d#3Y@enejEDCi{9{JC ztJWyBS12sxMo2;U*=MzZ9F#~8cX){VRAMsmlva%KpQ-%&H1qRh1HN^(mR6Q+(ndi3nq zSFZ)(75wOxGpBA3$3q^vX3Dbb6!d7GA)QZGR^Oe9hh;K8<@DxVl_+9#Uha6sLv=@4 zwGlE}lArG>A-FzvdBwj`pHUj-vBOp#b~TUR ziYyk#x$lPdyy%dNgdJ^(NC%uW2$fB$&=G@@BGLrqOE<7Wx~Is$sy8My9>iTXBM6T<2m{64s^pZ`Wm^Dwq!ksdhM~Dki-dOB%QEPC zF;Ligd)gEMEfyk=PV~qK?>&3=?A6adT>-)?SI#^>b*i$Gw2qeU;++Ep{TVLX%o2x;pg^a;2NyEdqI{3mIZ3x?J~YK?q| z9QE$98{3R<@VmY~va4P~puIqFQT%9&Dup2U^x>E1&pSK3aq85KeArBA4n{MqEFq-3 zcz>4oXJ%FyPDTr6mYVv!W$DFWs7#;W7cNszDHd8RV&e@{K!lF^K=AhMH@A0GYM&ML z5QwDq?K7Ro^Xgp~lvsjHq0&o4*Juliu?_r05$YV#)Q8uD7M?-6@dbSZ-OZZzK zs~%giA_%59%Rj#|rlQllY9l|1i*hFhN^k|p6`z?E{;7yA#A7FF-^Rjs(u((!inkCR zNDs#YK&VhykpGElP28vAdtOzwaww3$6oiY)=#vfYyl&$`zF`KL~u$`6H(=bIxfk|PDeOWxvlN)^Am z-k~!luN8Zp6(0Ne*vGj*NErwI2IG^mM))XxWBJVbMs;UUtELScSo3A#)vovk@^I;n}TOsy8^F=P&9PKeQ!R+j1=Rhk$Ud^AH*@x`~s)joB* z(&s73udL*syiK`cUOrCgJ#D-R_(^LJ4mLhpjXE)2VPzIM(m_O}YpD(z5mH=fk7;a! z9Su@-KroWvnFeD~OfoV9dx4WeP^)Q+i&e+yvRZhc!pJ((`sUbQ#r82>G)# zt4~jl1I^_9ewROVT{Lm@qJvKF`ZQo|z+JLM5mIM|GDLY&pu1{!wQlY~hhax=FR^d} zy0@y9nbDr|JNH0v>D5yZlm%Xqz*bo@jDCps=~nt~-Frx+VSFdhsXk#knwNMOR-1*j z%mhM&$Pip6Fv8c;BgJKo=leuxtflIN{pAdA9=N3063fzTTC|xc5}` zbuAe3qKby-q=1CHibZw=C6+djD|Q&Ap-DfeNLdj?`?<3w96?bHAG*mTT_QgqyO*3u zL0H&)?4L_Qm*RT`!*?3+f3J~(um~ysMG)3fY%DtdNp5YxN)!r$Dp8=z&}#vJ8}MU< z77(dGK@$Zv|Ji@}!ewRiH3Jv*=3sPbJ$XgfcyK%zGz3ke=}>lPnW0NAOrL?0_R^(5 z?=LTm5Ns(gzlRr9|EM4|3{Q%bmgM9AhE3a_Q+Ai5-rhLa<@xF61HM4uNP!Go+oO#l>#T@nY0 z;%(+fuU$=*?oD4?>QMh0AFwiO1xKh+#X?zPZ(AgWs7BQZ2oqJU!Oq4Yt*VWUYieG7 z@cQ+Rc?qjy!X{6bI0&0FLI$DtT?qf6cjg@kY2@ZPg+QLyP1V}sR7CT4S*P7 zJxRrsm>x|}JC;??UffBN#~m*>v{;n_1MA5)?zsVtGS?Rw9Vc-Nuhr-o8!s$0SF09V@E(P8eN5)*N7*_vpu!XDI|h>VabMG%RNm`>flHJI#7L?(KZ>LW#F z!^e(BT7$8wL<_$YZCntBKX3CYBk)me@$syVJ1hK?Af!+KQatOwf$+C%=EK8knuT%K zeq2yg0E8z3aaFZdG_-n?+76N3H%M;a#@B-b1Dck=*lL^>|^#6cYr&srsQQ4NWkSQl zDpTM`D=YJFKfbYZLjui$CLw@OW*C{CZsoCmBM_@Kl7$Sfny<4%LD;rD3h(Jux zgc?)D7zojJ5=f?1iQe8wY>cACN~~%+($hN~tPWO1s#M%xGb{Z0O=ei~46!-?^htv- z_r#w*%?LIB^Sco4`|la4ASCK>EAVdt;jxm>K06UoZ;{8Re3=ZtZfD-QuYhp8!XktM zT$j<8NfHSlyr5p0np7Ax5OJe`=dz0Nu8Nop(UQXklZ>y{r?NwHq(s4qwy7!1aB676 z5R8^Lwk+8&%+Ei4{iXAyC&?&I3B1f@EyWB-D1tg%XkCcG#QU7VB$-agpd9%-}N?wV^Q z9ZK=hmMRm*>AhGHae>c9BD680b&H|(CdUxF8^1=$**zl%8ur=t?M*i>-khV>Iw@I3r#QUy`F8_1QG6tfV;VzeP@|v;=etTT3 zKru9E6GBQ3okC-SFQ{ zlS-KpTSVYYiqAMQL+=m1!bKm|jSXMP9ao>HUC z9#!8Ps4b!awN~QHXSIbU=&KB;AsE#v-Ow%&)@WL(3r|@=zx}z?b-7>Ru;zkeGL{wU za+Fl@P#iX>)S}f={J~u}di82bshM(rrqurn7rk?@Wm!hJgt&GSPbvhzBoOj?V>u-y z!*ih$6}D9e42AN-VJs{(0%O78{AKBBVe7-7J&~u7ovw}x$ucAxUX|_9-Mq3w$So## z<}nQ&J6B#ZE(+g=E|ME2lhb7Ac#n#2u)y)wpeBAv6D*%qFS_O_mR*e^k-&434ywu+ zlfoTMw9dd!ZA>Fchd0>~aK>bWu}(mY^w8P`hIeSK{0VJI*5k?dg_IY5W)KDp!on{s zx2NsmgZEgJf4?Uhj<2=DI=YSytoPl-H4XuD|$qRdrUyq@@YNDxS-dzFUzOMg0yYG}XLBdnIQ0@P-dRpMM&4W{!$s3c`$IwYi>9 zVUGBWG13qA{g)kVDm5vymlc*2$&mu#@mknvT>fWxu6s@ccaHBO1PRJ>9FjRtR?WE)Z%c6fSe8oOv{P zQ93SgqhH^2Y2jIEYo6f}cqlYk3bzmnr)5E6$nC=pD})$*NOfLV-$lTm6DKH!e17XL zDG`7r`ARV%G-u9;&LA9UYI`kur?C+$q>*iOrc>@iEeCkgV1*>!!G?~(s}4hH-sBXP z63PfAj|xsn-WnF3mBziW5UYyb=~-P)EUau)D-;Iltm(uIsb^z{Paiye38l^?NQ*nx z<^o}f9OjnOAlZpe`-6T^E!jBC?a$ya`(0f?7O}_hJePexba#P4@ zbXV|UaS$1^KFrW%6*Y3DHI^%ig&N}#j=T)K2Aa}Sx@-eOZaz;44%JWTQ(L{+;FMJf z@7)uG8Y+A$GV|rvj*y-?X$4<3UXay!ttu_`%|7XyrkwFYTUWKJ~o zz*PWVo^YO2jx-_okY-#|58;eo_35@w;qPJ=u?0C;Pt~f zz4$yPTtlrD42wL?%|KX$&TR_Y{|_U5AHv#?i*i+KqA9amW3#0@>XOBesw!dSU8H+! zZMtC9L3z@i7ZPjeeCo1P&?ryWfGbtBO6BF%h$Y(x)fe5-;a&<0iefWEQ&(*= zdr5&1ZB#b+h1wKEih2Ll7 zh1wE>qGj}0`tv9S2QbGRrT?MfxNxkzQ7IF=a%Bfj%BwpQEsxI5&N6^MlZ=td^2i57 zrencQ8}+rJQ0GZis<76lgcKQ*x;0^eY#QlkS+k17dMweigpe~4S=m@bBNfY`mY8Hk zL{Is>wWm^Os6BhEZb`vVy}(7tGtGj~@8p>e4*pJHdkf+rYks1WyE~^aBsz1fz#uFL z$^ED$^UdoA3lG&Wu&D|?V@jRXGz3|z;bjdj$&KFK9icE+YDQ?VInr8DqefD-5n;d8 zv7lN~(5m!Gs8%7dluUy67qUVI(x9W%nAAEWBm9dXyvf_=xYCm+&zc?jP-yToUR9jp zlGJE4@n&Ut0|kLRO)oK&W=*6yO7SUE~PR!Hz89e3`S%Jz^M5eQm7>Cz_}Pb;aVVATB2`6oh`a&{s7;Ex%p z{nR$jWNR8I>`hy{>ms4k zODSDgiGqu&#YNY4p{lR0CWXR8`w&uhn>DhT-YuV`d_o8^RT-sWM)|}e$)jHZ;n&WW zqOP4jdFFJbM~(G3Lk(8~ph_u)S<3BEzP&EPH_TiwqD4kQH-ZK(l{+w})IMK1Vt%Em z1t%@*B&}Fqsg5<;3KPsQHUq=dWF2Bu>$o^3N;NtgGiorgq1B;Op-FDjG15pwgMrx5 zLB=@I(`KSuW1?kZd1z<~sf~WpB-$Igjc6$<+k>aCf$-&Hp3wOPEH?;Gs9ji83q` zjHs!5HPw9Brl}@HLt)qusj_;LTxv&~(N$9TXq0*jcj$|$-YWFv)(ELRsYOLFxhr-* z+@6c)knyNP{lsyLg#q%ye5y@3?v=Lm_Lp?d%*-T{Kp0CV znR21B2P)k z#)FExxB2(k(WRNs`+}xsfVzZC&5fR!zP$&bE7{XBGg&c^(%76~4#)=8)J^GEX$55% zbz}~@dPTk1jH5MdDOq9^sHNrEe;Oafk5Z$!dGjkJ6$T-Gk8V9Qw%U;9LqoDh`anbe zqkdmO$T#9Y3Rpgbwh_0dgeFoPE;@K1fZr_+gRJHDA={ZjVv&zPDmqFue0hFndtpon zCZd9ndO~6bH`-azsp4;gAS50pWMQj&qxNmf&XuxcVLBlUT|d7}b8wI(5&w!*$RIxB zzCHNmnMlL5I@}<4v^|RLvvWfoS@fvS9hVjUsrJ)?f+K>EG2P#kD&DCVz8z7s%$`+A zY22CIsJ>%R8oEeBc5ip@Jmr7ESe#ZMF#9>_4C|sJE*hHXHvrGMoX}O6E}AH_hoE(I z^Ajca5=yIMWENHJOlzABTG23d(SOK(gqG-?79|wQ319vEm02Mlzr+eZKW|xuc8BP>UNg@x%!Od|x6+at)>5ED6Mn9dm)r&o+GDKnbBaxY-4g-Ra`c%e4{!G2FScUL)mI85IDOq*L*icc^^rB|6EtTMiQ>j;(@QbrLF z7aCS5JS7Bgz($o+V1?4yW`$uQIV%V;qGW7bo-{R4kYt%jRWz7r6MBgB!mz`#d&R&= zQq2`gB4ZSI6&_m?F+rO!whD%5r%A-ANY#pZ**3HV0}$E9!h{D}O0macp{Myh2tWMb z;D6V_W_`fvSJt24r{3_q?f zzov1<{3wH5H0UYgiF}mL$Vg^*L|ld%uTZm0f-(giLM+NE zv91{iAhn88j4w(P?%ns0qp-+}5&&9o>#Bpeag0*xX!u zB3}YaS@z-70;oS|f7+8sY4c4l^Ij5$zFN_l<38HfGK=3lUHi9x+gQKFrnOtQ&RKU1 zWF_T94IxKJWrZ#sRPU2!ndnF~`1)=CQ&){@RP?g7qVWb}v&b`aUbO8Q;S>YE8S7HrxpJPgg4HF-D5FUaW)sup z(az3s>D=Gg+)l#`Mo3?poA%vJ4b_53wXjO>3iKrKq!K}lHDV*9U~d04qDHB~_NriV zrnPEzc0mO^>qk^)_hTzWmz3lxFKqUO48jb}O789OdXJI5rKWCEg1Vm^f<^hqPXi&N z^$*wnv9o#%07>4t`rYXK1?Ncn``tjOF&ZbX$?`N%CXHP4 zAbhlb_X5JJFQjm*XQrj4kz)O_Q)Z}9e0B3LDG0wN5}rA88cr%oDpu;VJrU5A!Vx74 z0e|5UU#$lu3ki0CoHD8va2SgCm@5;%30@vA%kn4DeQJaGwgw4BOf!=4`}9vp0<9|IiLwic#I(+dv{_c$X|jY4kp zD+`9GGnAT6SE|llLdl-2fDWxP(Uml=yu72~Jmv9)+DxaqlYLh5PeGXAs1l*SP`SOj z`9Y9>Cg185MA$R3Li449aA6EjfR(J!Igywq7zU{sj*}!(^XtTwGKjXf64;hnVume( zvC8EX>Y)KK>P>3bYgO4$bzo{t3Hys3k@h52N!3HttS<;> z3wh9fOYuz>zQzDiNPjVP=5xduRSWY?<@TxnOs$8YmZLm=q_FTPseJ%TW5&=Anj=*4M{>v) zQ92M&o5>nMP@>wLDQl-tC38XWWaa6TpPW7K=*)S7;exboAk=I{G)b1Sg6%=X1hrFEd0~Yq7rYyr*)>9h zCvj0L^)gR*FM6lE2OE6$N*Tphe{q!b<}WH#oIQKi3KeQXM4pL<+@1(AnmK=AMgfn$ zxsddbCjpWLfdU`S6VRB;9%0(6mj1-J`hdNnG*Zcj^K&KG-8l1!B^9bFlNmm+iW4g7 zicF<-rn3`K>YHy+24`ncS2}}L7@gTun`O5{mf1T9W9~)`It*G#Vb>iQN2>q5_bpEy*n^@b5a(4}Oo`Zs|~S_JT08PzYYS zM486(+3^r9Puq0kPLDG`-P%aiOs>nT*Y9&a<&`hN+5gX1N1r0hI#AEdJ3-gc3mq9grO^tFW{_7<1l6 z4oA&44c3aWCQ(WXxF*}IUmd$`47SeF8nv#Sc3Pl7Qx{Ea`6p^WrSlvJOL!vb&XIm_ z@SXPG-!$a!F3=+shKPmn_!0h*&yELJTK;s2w#V^{m)!!38a2jXg+@oa=-xIz>L7H( zXcsm8!Z>S_r4zP|6b!pG^3>(}50xCVaks&mxplp8ozdhISR!PG&5!pQ%V|?sRuA{j zU!|<@mz%%*B2RkuEYVPmRHoyjffh=sRfpt#etLYMGDowrw2~xjBu4QNLgR9KFBRde zkqk0K(hp`|J;M~Na;4U}++OO8&28)m!WimIXQTR{STP&yWHB29PSwE2dneT>f}z!v z48(eCplJcZ)?F)%Sz^II!`=*48dn(Hj*6jnv`uick_WThJJQP_+iYxX-D<;{b=olq zb5DHyX(*IYTl7D0q|9U0xgpVm`+h%DvF|N}tdFu#2;mNdN={bB%W~fQ`fQ^2yFU-e zb=n#rV=>|`{g~DTr;KXFMXGJ>0=%V*s%~|cat(=U5^_XOySi)@BnFt85*=)Fod8il zuD{&+_~OM2)lRS4>d}^{G;UcTeI>7cN z0AY9C&ZCy;nelH0jth1&L>2<6sAQr{s$T}VJ2gOIew5kY{za$6siC_`wn?67;IR}- z$rU3NrjCLgcKAYZP{%x2BLb}mFw%)<4A}qt7r9YgzgRD~YE7ojP;8PL4b8>lsmy+a z0);>02xfTXXof$-E0HFi;kD{+!HCzwB6SSwypTkrff%MkkJEBQVtAT#^W+)VAHmQ;SY`X5s+ch3>(+Le zu1?^vy*d=~S$?VFvLK{5{DAsBsYGsmQM0VjVqrKfrLcYQ!TXH#?Lb8eLOIe)=u+`O z$;sQ{y2CFYwfw{NaShIkhB`sUs=ThZ!b}jF+K+El>!_eth=QXUjx8wgA3YjSSR5%FAuJY<>C=EwP`ICP$UuxHF8J2($`nRTZ=lYcH3Z4+ zzq}$(T3yjOTdiQIq0WtkCOqkE5Z$y|5ZY*u6?R=KX)~ zNS+cCjibk=msWMm5EN<8=p9wosDVQ*LtS{d?UNO|<*9X8(D7n76pdqMeIHgXo2?ybwJ5idrms(yu{mU+de>Dg{|Jootefox} zGd`sjz!%a$3~myznvbHa)%pT?`}dEah=$YCvLL1=%M^M?wEU^CFe6iq-EyZ&?ejHV zc;hs=JrJsvWzJLr%~&~Go4>|k4)mxmYeABlF=&#*J!?LkX*Fg>Z<`~fk_LpH+@g;Id1>h; zlBSgIL+@*(`pH2}rfD~qLC7H^e&6Zgw9>lQcgknJ86S}Ra?VPFW`dV5TQ&id;y8Si zkHrkT2INY`My0Wd%G5XzYczZjq`s+I>9qEHLTBut5&2LBLdcA2z2-*oqjz94%-EAr z7#(%$j9DS-4C2hGlUBF)`G|>L^+9Wsd|4LV_jziI9vLar`gFW!R@g348Gl$k7lqIr zziHh#9FM$dZoY*=*4dnObkwZSJSk#)^@>4Qt(7s1Sa;$?HEhju=`=%BDv<)QBhiqs zw8Grzin_R6Zb&TTc?UIUp_IzpZx82^EbAD6)v2CQ4yoysDm(jNrE_iV^%Wjh{s}fe zh5WT1J_F(3nMlfY==}}(yKOYKl)F?7Y=SV%;sxKSVHDD*YmJ?q-!gV~HzlB9gi04$d3Z<_3C8F^ThoLX= zsJM)ugFC1Mv#y#-li!3HpUBLq(`E#RiF$RxFIs=2N}aC{L>8EI80v z+bl%h3rsWGzar?`B5kRz3(83*a<>{EwNI*U18ZZIOA>{9gb_S`zh`1<)y~4{nZY}A zryvRGn1!b=J@O8rKYaT1Z+{UV6^vgyb>@uuQ4_hOS20 zw}l@}Kr;*_uARH=`hJxP%As1hUUpbx^}w!4+f1qrCf2xb#bK-eDkW^NXCO9ez4$g( z=sHMsu9mGHU5e5IY!J4nQt0UDUk$>q1)-{X|A(tnuxU<@)|w~iA`Q_;5zuL4fW>ln zRj!X79XUera|D;FynlaLSP3C>G5$~i12I-K^o5jH&_}9@p+TtmsWVqJbh@KJUQ}$RLRF@y>ceO}Rhj|Dr?x8}vA;6K z)=oH0PdOu`kQq$^K<0kd9+eUYVNvd%n*HxW_(zP?tWXdZI|whub661(s_d@&aQgvU ze>cyi`qQLwThsPAXNdj%n`VVlZO9FAp?FSh)0^DrpL7UL+9DI$-72Vp+E^M@)0xEd zU>gU%nFqj3PKaua!X7n^V3Q)*?$%`z*@$Gz#Zss*x>J5H|qn>&KCTq12hP+6_i-f93oQ zn!2g`;yu|@(MaU0UYQLlAM6y6)w2w$r${Lf4k{m%6(;2`mAzM)K;tAf7%5fbXp|oR zsJbv(wVJOX)wn-ldm)}ojFzuxvUrU#AQpH2&Eu1gaaO1ywLF9H@cR(%`wb)gNQd5O zx{#sLcutyw@S}%|oCI@j)65VQ@7_|ouYlB4eaekm18~2|Y1o^#0&4t*MjbjuR@`Z{c^$ z4+ym|{_w6N-SZBWOeJUIYD>qa}B56d%$VlMGkw5{Z z3{{#6jL^{Bz(g(O-b$65&hE-HHi&xWih^Oa7%6Mf*?l~loQbW>(wz^S6_}+pBN`{| z8|+9`>{aoV7-L&6f~o4gf?(qv#rP%VkH&NmcY+bkV6f4fLmieUBBK=bdpm4~UZ_q%oM$XLGt)`csdJ@sjB$i& zH8Z!HN6}z`ElRM(&QUQMt2)`7Apw&r zB`U&jp8a|zz>_QRg)A1bD<3P=Zu_?o?mKko{hHGrgdWQa_oo%-d4q5tx$>E!H9?pg_wK4s4Oh?;nsBkF7ltv5NV%cC4w;f5LP4o2r zPE8=QP2f#nGfOU`h+>6zY+AZxb z;hA+Nr>j)E=tSa<={Z>-v>lv+P{V0z_{H?1w$|H~of!C4g2;l47EN^bXoUibxuXSg zy)FEV>1MX;M-v>V^6bff{^zg1UeO9JImAG1ZORG{yyHlJe~M`8#59|z&{sj5Z=8n_zc5y90w!uMYE#R^T84#qs46Mn9;gM?P${pMR0O$89*=AA-+0< zQp3*Ewt2LV1~$57m_u_2vZJJ>JVB-Ko&aQ>`d_|Mq3N$*r65F`aS*Ee$@R`?!c229 zUd0V>o)+T;GH|I!@ShwHlP6h*$wOuOQobi3(iY6KY3R_fd56|iyLNoae-z~tuIQ9%q0v9k z80lfYVrfaoIYG;-)l?khxLJs53tNWRS2i)##u<4s!vFlwXMZ~%G8dy_Q!R&%klJU< zk$&_WI`htk{6h=?f3yo>k%N$v06nF14nG;6r4o1Vy0b$0-p*s%v>l{lL_f$&lPw80 zDO3--2>=yIAak9Z*`SP`nRP2PU7yxAIvRk;jA*#9nNYR=wn-H&S1i1zcl;=9)adBf zsx?`uNd;e*+Dn{?tFjVzhZ@Aa`vHl(uu#ciMn>3M2)!v3ttmW8qK^O`$nfWpb%ZiB zCORy}r%*@>qSftbVN?Ip8HK^~p9AEL?R7hLM3?TyPW6*whRJD-%T#OJ+!p(@Ic|4S zTNqXuem(3Y394zPnk+;!*^wpNieby4Yx^>+8}Z!k;^W%rW|RuBQTXmdlm zQmM=bD`4K#Dyp@4T?4YSL8Y~F9XgF#$Kz_ozW%%3j!{iAO-;EySg3|QnrAAvqykd< zvt*gSm@@N~(b2CpWiNFNGE-s`6(<`eOGc%VhD^!Xv5IAm z1K27}Hq!*5Ier=d4Z%~V%m^*FKWpi|AOyPwXNB^Hi6os+G!OE;s_k%MTcj!!UE76R zX_cGQc9J)|g$+dN%bUZYlT}AfYmB+2xGtqN0H2 zo5-A1Q9F@;!pFuXbzVp()%2-BXequyNV7F9*NZx20*eVwGkr~0scOHNA)HJhLCeSt zvZ%RG0%40Phmi&ZwV+DA5gR`2SVjb3@x@9Eax^OeoTY4Z6t~c*Kia|=TMsSlT7dlO zr%N7dfQkE$6(L}RzDP?y@IHiltMc8a5BJhS4><*UuIjRL-lUB1`@06B<1&2ty|Y7S zm^v0lP*Lw)ODK`d?W|B$-$TFMc=68puc@@K#AZrMv+L&G+F%Mi z2iq+>o!tO*X4o`ohNeF{_w}N1Gp(<A#W}5n~-4d$6R9wri=g98d3ey>QZAHPf;( zk4dDovk!Vj8JZdy!JfGNNE%Yhv~nGGbqVAVr-5fmA&g zr1DxklZQ{00&bZjq0k>Nbw(HZnl?p?%m_pWq5SFj-2;H+PdQ{lr^5o_%=C;heDVUf zXuMC$IXl{|;9I4duFW(lahGAz>onNz6j2@3+>%(Mf+&`!Weld>sCgJ>TAnCh(?QT{ z2BExR+*=qZU~HiFQkEb*EC@gRFFM!^Lc*Vy=|Z*!vZTE3f0?nF?Fp=Ne05o0*}?4Q zPMs%JqlN1y!Fy^;w-WiFhC%I=Cbz$`RnL36;X23JHy8=W4tuFqbaXHSYeT()um^EX z3B^+hGn%Au`u5FKEd2U^ey+SwLF@Esc9F7j4l-&jqT24u${GJr`bdw$SPD^K;4eqL zex>w4M_kM(RMIaMHDEh0EFR|8dORoCql~^r$(Po+Gb&ene#IsED*JBe>=;(H{Gc9C z3`S~MQsXk!sk522;mOWZQ*W@;(FPmojX39N{!~rBi4JSCA$4GVkj(|D{u`6`0>DP5 zfH--yGpVk}2WwA%vXg(%l#mN$g<0>!!atI^cdbwm`ieq@(9ya#TP_E5_!%8l3+cI( z8Q!woP^yfEwj}{;y_GHJ?$X9GZG4hg!-@;HD1w}rT~@7v(GE0FZa5vm`B40nvSzCU zTO-#bB&Cpi@(EH3j!z=6^@!+n4jr|nQiZxjMQ7wjj~wBP0ADm8 z6&DTA+?LU-rWsB`QXg=@)EOWYqdA>RKR2BhN-I8La_UTK+}FBE7i`^5(}o~q^mm#) z3Ny(@>7}z;Bp4383k5b4!v+Igji5j zLun8<&6x=EY?-Aq%f?FbEI+?g&Z;;fK2rUh>t3zDWPOx;MA(ZkLjqy0Hn92BIN^oR!gc)IwJdv*nHSCaT1uj$;Xjugl z+bKUvC~VRanyBsg?Nx~uE9^`rjh*3H3_?45GFWB5rLbt_2%|MX-C^f7_w+;>qqaX7 z43pr8dtMgT^I5dI>K`xi}9s14Yeq0}|DI!g!+ zsoz2ho3^!Jf$WK`CHu=LK%Qbq4N2|D(QsBCN@*T_iT(`#(X_CfZ6Hs3fhBg+?#J?0 z7|m%(KJ?@xb)R$)-VlVYv5cfb^n=#?D93@0j?O3=Qns*Favk^;I|N4>Tcb5u7_AYH zu|lxzlc#sot-QRGfC9)eb>CZ6U-FIW!LeD${h}IzA3U}_t2mcWeTs#74#MBpnhxy- zMT0OqT@W&%m|nND`NQ4&cb&d%3O5^KZ9j=J`nxWlK;70#3$@1bzqdIiOEDJNVolLW z1>de}#+aCGp3&O8WJ8}esAGeO!$}s8(gUPBQ^JhSglQuuEH7u@F7+w#1tTiXx@OZAJn8xdhOmhl&hL11C|Hj7 zi$DQMMcf>z6KDQ-Y01HNtgx14QQcdYH@9vn__?9Mi){BFFbJ*Od-pDZvR~U~Ond1> zaw7a)v}1nIXPOiRt({co#f_^X6V$?|hG|=X4}_=|f>4LZ>3o1ycQBK!k7X|)rxf0^ zD#c$@Y!nFpPsofxh=QVEsQo(Ho|j{1E80*mUB2}B=J`csl-HB|9ieh@lx7P!jS3h? zLMkW1V*<9siy2>++!xuLHV~dZbw&lJGiOq<@Wzd8on&YSgRq2E)1s`R>={i=kM>S0 z#n+1Y_J|TgcN7)+Od~p~Qv8;PYpDT7Tn|qfB}zw);z^f!rrNAWs#Plml{HsDCPZv- zVB@T-=XgUP{fQ@in$wU9qsjL1^4`ycO;(<`u)^^bXQ*zyU}NGqOV6l&rKy zAY}oT_Qz_6GpfuTvfF#F{$~B7;xba!Zc-@x+>B7}4jWV;R8nX&zH#?v>P&|87>+?z zwL(RUi~x)VEKU3dSdDG%)(U};gd)G_ol#$9Eb8f2W(bViTKc0Qr^R(OkAhOj0BSLRV>$OubiW zVuYR}2}8I@=CXV~N`nG9)^ASR=5M2*0K!mtjeB8hZ`drkUMuTVSiDfPw? z53xWE$Xt1;)xhRV7uB?es+s8MnV24BB~4O9JK3t!nUy42X3^0`l|tMy8bLKvUt&ZD z;#nsKkh)344$j_a<0ypSY*1Ffoq-t1T=)zJfAsyi9Z$M->w6&7M)b0*<`58u!tYq& z?`JCZ?Lt^uY#Yfl)91Df!5`cp6SETIef53cNX@o0mMQvb26U| z>_11rLi@Rz#A&LvY)9E5UbI>e_VqG%K>vBf;vhxBi8ghnPc2*js2WJ4wmOd!U!SI` zy{_XzImMSMQfPM<5FV%N0t|H+LxJsQR(henLV*CS{A+y@~whd9LfyKi;2v;106`BRZX6%Bi5Wij zaYz_PqXv8|c-A2**#}b7_J7onzi;2W5SC^C69{r${+4cwAAqpwdVT%%P940rm^vq$ zAyK3kHVBMP&x}SXr|?K>CRO;oNEa!MYh7Zfl4q<-h<$OhNzM!C9sCYqG?M6zv;*Tr z56=;0W=a83i#dC=@JTiMSFUsIrW>Z9Y3A!+Qj>*LDMV&WUsIu>NJAA~TkcE8FO~Yd zEW#maJPql@K?a-(6&>@$MWuC9tl&RtLX?{Coa;pN(fzKCq}p3TkMS<0F}WKEXHyU^ zY=}0Zg!S|;C3+Jx)5%!SWlKD#Hmm+BF>H|$N^vO{dWnV(@l@8B#41|*jFVE9Xw&Az z26w`ML=e>E+3IAn_s{h}$SHd@o43B-@#&=Z;>=5eP+3A<3c^2Z$Tx}faCV(E(n}%v z(I0-e@a+%ZUi`M^0;V`QKKSChY2uw2Z$E`XIZ|TYbtYbuqobpAB0xTMXrWr52JpCg zXiav54M+^uNOrI@(LRb7{jRqcNf@Y`;{}DB}iOYl#p=5&j z)=XL=sQ?I>{yt4px7%J~vGC=CwU}Y3gU-eb!qEvm@I-Q^q1x@m)wz9bHeX@uWD`+4 zMKtR6Ax7NAbT@6#wg6LAL%|pcS~L`bG&s-(Jl#w6rvCc%nt^Yd!0t)H>_64_`JY zU)oacs!XqT{it!7o3?ERagB5$C6Bt}scbeho?73fkSPC1Kx}4PSD+wNVAYD|S~Zk5 zH&Y7EXvX3SU^g;fqckV9dZ^Z8>_}F4%2n^F{u-YF#fJ~nD6cb|P}&$Oq?ABOC^1?U zZEdyXTa3=v6BvYGLx(%%Ky9Pt6b#+fYB09)BBc_Gwq<4wphVO=)J+8YYie5Ah&A^1 z(S`CI#PRw!-~K>2|WYknqSs|LW zt5rb3t(LEKS6FPXK%^!C{T|h7H*&5n6~UdjgJH2tv7;it9@hu?u9i?QbC3;w-pOg_Z zWJpa3V+KF7)ZT9-h={0#q&ims05x@bTKj5&@VtX?`vI*^s`?5-9ePkcS`LO$_4U%1 zhQZB1&un#GL#j5R4k+c1QfL}d(-xwnI-*0GB6A}cvTS*#Qzz$8*QwqZ3-%R+f5 z{@r)q{J?9xb?bitVQD;Id-Qg#@ZjF@p}VJuy7v5oPUbF?=AZLs>xX`fP*zw|Gd})j zjPT$8_rL!*HCmo%V)rki&Hc@OPN_%d93>0jz>_hx{A&3H1NFh_>(?uck6Ia6XI1e$ z5db?IrbnrGbHFi6=@K|pQVYuVGDU953H9G=mg1g4`14pK zv1WzDh}J(gv_{&AhZ8!LG13#&3ZRDGr~%3x^k^yqXX87)UUgaUAq&NOz3 zC63Y$i|W)<-r}rKe$-}}%m~G0WP*;4R$9}H$`r~9tvaDng<_!we2=2PNR3fl$?Eoe zl;|C>u!#TEXoau#h@>?i4GlP4n_cjE9DUDAb}PmV>A0q5T1LNe+31FqxwOhHYekJYN2468mRnj=v?2*nr!tD4Zfw;~nPy2L zQ7GiPTr<(!cU)fhKhOK~`z2=ouPI_%_59xV=l#4jp7cD!Y^YSqoh8q4>Qa;RMmhT9 z)PdLvhH7aI8R&E4 zmq8P~J-w-r09#Zf;GceK61flvqoNi{F7ttYAEvuFQ9?LZ<`X&+DfX~occ}YN*1Jg# zgUYa-Am`LW-kQ0&wZlcYUZ&DsGb8iDl8gF0a@0$fD+W>FnTu*4NL7K_aHFjECXh{v zCKw?^R)Da8uY4HqhR9@aqBj+Sf<^hsMJ1#|`r44{%Pz2Tuf2P_a?anEm;E9jlpBG> z4!lP6w%|(fU)DtC2Y!t?Dk9PF*-4U2{s^<`2najP)I<1OP0{>vnm{-L5JFrRH|wP; zoQo;&d;ZD3UaH@-3Lm{G{JyTFXEP71=pzw^zTR zEeWX;;~*&)%w*;gNh&pCrwPf5DRLNA_)Z+~wr8aeE~$x=8)(7kvmvwT`ZhynR|s16 zuoM~`F94BEI!F-2km6fa7^?mZ*C+@fWD%p0s1U;O!(1?H@_;!ivBS~8ZJ08`Ash_b zNNEVx6B^s-i-LMMz?F2FAP^NIxg8og&d=QjX#zUTe0{iRB8&3_b0+{nf5b54BEwyi zKBX1*(#OJ9`kLZpM-G}<;kJ#cum^~Hl9N+%({~kLzT9x#ZW%H@MJDr4_I2j!7Ha5HdAsRD3hI3&cKDTWN;fGcFs*PYd0Z^r zqg~{y$5#hxsgNv$f)Am!X!-MD6xiqOGyxF#8u~NCn6|hM2<{s&5mFwIjUNZ93=TUX z)dS^!lZz(5q9QOoI9zgi07x8fw|y4}e#uRc(!NOw@r}P6g4ItdXoUyn?U6vpoRkpK z2rr+z@U%X_Rmd`*VX599LqaTz#9)(y$1zC-o+393r%u3)Du3xX;C0KT1B{_D2Xh$~ z4c_Z8erfp1Gzc3pGWmrej`t40R|&2&aO9vD2yPM1B8&bM&L+a(K*s4(URxN zLxJ#>5dz_%6^MgKNB0oG6!D{{PF)3r!7?WN54)pS{~QX*A`o~I7DIHMC+^{1Au^X7 zjw4kQ#`?3QhvOd$@j06z+{}XOffyFzKkrVBr$=REgg9NWABBzqpQk&l@F&_JtWYo0FyO6Sr?c{u!$y+fp+00$f;aLq9PdjZuGRmb)*06 zCN2mQj`_5n9$&21>9&f2Ace0@aq`TNjSb9BJ*9F-YTJSA%jU? zs)W`P!4NTmy_nvU(E9hlP0_yY>#6(?3^g%Bz@y^4by)QJigV|R(}RPa#`#iD>`2>@o06NG4hS!wI(PGrdyOPNZP*~)QG6~5 zB*%hwzjy;`eUS4Z)8#K0r{N*PDgNt9+7k}KQ%V(rf4E)i!fybBJ-n)45ZdFgLqVzeE48P!O>G&r)|3}jvtF4r!H3S2bOtgPm_tzV$dY;qz=v}sR`bNn z)TzB2OM5dXxA&+xZuVX~H;Iy6C;?5)A(80DhN-9`;;7{yZcYvU>MKDJWKuvF!h8nb zYY+NRR1-XbhE|7%^jF3z`ZiY!he-A<`3zpTL4GnagdR77Vc*`oTn$P%k_emi*quNx zBhqg|Fc+tW@x+&V#nr17>F`V8LCMMplhfvX`tDmje0VxdAcP}*@Qd>gyNc0#gAt2ZDn&?tbnP4A*lV4abX4%T^)qQ&QY>qNFcFH%cP` z^%@X5aY%#(v$;x>Qlu_AnQ-IGtV0J=Ty*E@FqmC?zT=iQ+A=5*+oR(DXGiREcj={Zm4{Jvn>elDmOWG{qHV;HQd*C(UG}kIh)6$KXh?gT zBBqkdAmn>9o1qyZCmlO1DGg*3ANO{{^rg4UAdD1p})c~ zH*Lj%5pT^j1Dy%|QsG^+d`@eonWSu!6}EW`$F*u}YxnHfv7@~F*s=8NY-BSHSMUAt zgb02=g%|9nLI+{qV%!qt@t>p(tP?qrnuN9t%ntv5%;=|bR1bjAL4}?1Smrw3bOe|h zs0so?N(;siLEs4+esQJIDPswdNTx%AgWYm&L=7z9c)ZD zDmn>HN&!zCsinv{(gm)-&{-c}uPy>0 zmt#D~DGc4YEedibCUJleFJ*Tw8{+&=45XxHQ4wWW{k=O^FK6dM{53g6%n-HthTCt_ z3bATFLKH7rJfp5PUlA1uU(*#8w@)A4_{%TXVTD8x(rA|j!dpTpoidwJl{j}kJc);! zFg?T`zDOld(jplo=OBEds0pPXINBSxjJfWS)e0ASZ{*@nbfM z<{A=G7$F;^JaotVK6BKRaEvUZSq$o~yS1fuMlde|ZH@1``vN!uW?|a14VKc#d~VeW zV)6g%VrF5xXyHQq83-0mOoNbmn$h**Vkg@=)L6i7%}nXD2?Jvg*=!#Or&LHZ8+qd% zA{R?Z6B0jSLrp^_X2ZzLqZS)gE?jJ6%@=i}l=qq;IF8^so)EHuFKtp}5f~2g+o0jm z3hcsoBcRMm5cSW-3-@lG+LfCdl$@NCR-2X#1d~=A&_k#Myjr}F&NMMFnljQi`)oVC z_2-|r9{lCleuZGgcSk4Omq_Y~9(lc>!+z;&^DD5bzTFQD}wAbxQGi^5587F2cc z<0CRMBo{_2O9Y!1p!o%-ARvMu?3Y6b-Fb%*3~pNCCFMqWZc^3sUvW(MfdoRbX3$rW zl^9bVJ?rIb1$cbTx9HMbMf8T|9%w^+U5xPl-a;<%8V?hxq70va1X4HB9VRuyn0L&k%Z&P#<{ z(Pn?!4`U1!3b`jL<0Vh*EMY#?o0OCl338A!deb_vy*x4V7&4UGQwfWc{4U&sC(ZVT z6(-lx2-zar*bxx+==0{g@3w7Xkv7|hdB$MVIZ_;^-nRRPpMO4h@R!|Hu)FWd5MRu^_WaPWtpw{AUnaQA*ZRli>r2sLVr34;rq zD8OC>W)W1gz%fduH_*uQ4@WT(>=!d$GsI&kGUovlMPT10z|&7OEY`_wTsg05gZu?H znB&2$CPyO=7wie)(MyC-r7|md7G@6D(ew}wTBG`-GFO1{Ss63LDa3y5^=mKCL4Wn} z@#*Db)~_G%!(05$j6Vn`ii<8?jf`-M!^hXw*_c8Ll!GS8h*v6EUP@NlT`B5)NGqfm z{}}XV=Ii#AW7t*nL?B>&6vN196QkrucqiM2!WJS>!lVZV78A@_1w$b@viR4A;hTf8 z#|r4nEOiONht_K}LBT`m&yZH!x^U;_DStpoANK*#Fn+z(H!M+w-+m+vt8Mi2?vLUHyhD0hv;C8iRm>vzn~#L4GnYG%$rR8qbw- zf`{>-x{j0vV%=*xi4_W`6dJQ!a3UXA_6%7U#vsSWW5ZXZ4RY!sHo>Fi-W?|s!&G-| z9ahYsX^fT=s$NtTpdtp4BkRW#PQKZ+=lH?l z0z#0dXoK$f_jqdZC`tGaP!wKTwpKMq=TL7=)O^N#C>j@Q*ct6G*w)t9xI5O7bWeX{ zb2B&WqPJ4d>xA!h(MfupkNQxnwuWt5fAs6Gzw)FQ8gGEHYj-PW3rpPCe3Lo~JUTj; zn~Bp^T>+hEn4ygC0pVuZtw3eSLKiPNKdBvpgYgD9${ykPi9=*g2zeP+!1z1hCWI4z&?3d8zIRZ7H&>5I@TJDDWO8(+IXNkQniP3K=O7Hy21#2xx<%(mdGS@B z%kV}TGy89u=o7*Y-JNZ5BGuUV8G>ez7&Yn)2dP&dm$TFS0R>%NzilaCDty}-cIhN2 znv$4k*vHt`xfhRAQY!JAjw~}e^6(YdIfHmzdyF_!>}&HV7IGR4^_Zpr9#T%=N5twp zhA^Aa^cC6~@;2I`WLrm#ILg&fI+~-^sz!T3h2g$Jx%&LP2M5Z;$hEU>(Y1)Jg^}&ohEr zv~2c>S&C~lq)a|Q>;aLhHbBwJ5>2)@{|PJXIG6p>HNv5xHsZGm!b9^3A@&s{LPUAeS?j6d*^-&1PLLH@N&a0wnj0E zNJ8}<4knanZh1LXX8z zgH|mCG4)e{DYmHWvZc;8TcYkj%O5F?n`wJf&NtfN#+9>khmKvTizzMd>1%{T(+t9| zHVcH@^o@aR_;`1sgUAoJGE7nL`)Y(QgUSL2HrB~z&pIqsphb*sqO^bUjnLp49LF0d zFQJtOBgJOF`5bCTB@BoCMvQ4H9 zQZF z@sny$9XPMR|CrUG>{sxNF%K&xV6_RJ1F4F)CnF-7On`~>CykBrqR2|u(Lv(sD~pR@ zmtkn7VM&DAYFii&$%^)fS-Nx`{_XXcNd-~z1eF?Zu|PWe>dmX?E?3d|e&7H5vE2u^ z{=9KI?tr&JER=NS)fO)tInargysDqtw;_bvZm&6T=@=oreC<>^7MlvmW(x-)V8Vov z(*hUlD*k$$2FWE4)wp{2kM~{bG8vLouFih7dy82@>~Wg=~T{E!E^`QvBdT zQvf426M{853}J)FXv7MoDqPEKl&w*Lusc$i4}2Xzv>#|}-@m_wv6HD2d8EW}W|y~n zlJ?a0b)BWP(3_zC-E-R20-zBhrx>FFc4#rY$A11O3){hRJ)9?GET^v_h&&C8+VI#>%f4Keg8v4;TXt1?XHO0%09JEjk zwh`|d^#O#Prq`W5dV+5B^5x6L&=ckS82pQHsEkaW_Qlu5#l;H()+4!XzUOdHYdn;#{P8xjc^MkNbohdBYyCfR!$B>A-YJw&<}q(1y|iEGqVK{ zJ~;Y7S)oq9d5l637Wj#k?_dji`+*FAy-){oodP974`@P+Vkk5)Fl?(2eJz??s&b(% zbRTFb7aHa1%q9+Sge~?Vr&QKy0U~P*@brP8#NI&y;5PJUcuX7!&Kf#|V-_TvP(;T& z&mdBpd1zw1l(&5~+^vHjwSkVDJ7^ae4&!f0ER5LBBDaC+z;!npEy=kwXdS0 zB4zPx%pO^$;6T>okz*ktT3m6tIDoG;7wi?~Xu(y3+OXeD!C-5@|{g6)w zCn@sStL`WO8X9$e?S)+C#b1knd|SO48UaG1cZ|@nF_aA%9)|s3&S2!EoklSlvI^by zA*#YL3c`)N5}6P)o>s^SL;yc^eBoFyfYt?k&=7_QPlP}+De*P22kOpFs5dhLOeILN z^y`ZqeQ56D5Dn>i_{w<(Z<@rzFaO2V|Fa5(;k9dfet{dsGu^ax$0i70{p-B&Iqr;M zAMW~C8r!bC^kDn_#`?wpw9p2iS%B|&I!=9Jfer|sy1XEgpXE~4_83XX>b zV5lI!7p^8df}cCZeF>lxx9*ypn3xyLa&w>{i@VudXoL@zsfq$@8DtZK zK7bUrmG6g4LoEiGTPqB?)YQq1ywFjjdg>r-+p4ABi|T5MmUI{*7^c9650DRZz z-FM!7SHhw?4cn#5%)y@w8bu|(HPS}FnhdQF``UmI1QYOe$Fuk)fbgXFGO_8C4iI66 z(sx5pV3$H8!%w~ite(sVz*h^{zMa8jya)F9F!dmWc-gv-qbl-9V)!NHURSR!Y)}~P z+x^QyVz>=zNK8ma$e`klzspElC@Xwl9I2&+^V%yXPo6n{>;BLw2?Ig|!I2{;jAY;? zo2|Y$pSR7}Q-Ed=7AyGR)#b{C(P1$hR@-3hg<|(xD0fdc5|B-YiIT}CC)h8Y_%R*z z%UPe|?q2RL!D0*Ug(@Qy8;s(8v~O+cLoK+C1`yeUvF3_BZ+>^;><@mlj}AhkS6*w; zLXTpTKW(9Zr@JeL04O#{TLgaZzM|~X=o=0^@Pe@Pbshvyv}RB*PPK?1iyFvUZrr$G z!-}E9Vi*Ytp)B}tK}6mm=+Tk-t>?=W)q^MBNdP9q$vpCF(A;S2Th*bdjj3)lXkUm!!`YgM$H59q>bTJ&c<$Ts}v3gXCJd zkBBYYK#25I3_}En9G3RE!6*!wkNRnH+)ubO<5>^sF*s5HgFt-0ogWo9iZ$s^xS1_A zAwcYoR+_Z9&zS36bO54h>u4O$^-?f2N!t%2zw zC&i4OR_LyY;k<&Ll=s4KY>)hImtg4sW!e-aGx_iIt5*Rb94Q_&%5GcsB!s&D+B3D1 zCPIF52qhyWgiEem0fhG#V{<+Pd81!$@Px4*&>98CI`y*pa5~PhLQ|vr8bCPa05HUnR#@SD%z3%l0*K`iSlK?>8=3P|RJJ$&+S7QiQ_U|M@I!pP1o^ zgDB6@WVwx{WT`1$R}lWCN2=bjE*#PJ9Rp~8075H3xa{KjpD;@rkes54p%|_Q3W||m zFQ~YD_0gUB#>j~AV3aPNGHC!H#1tDlqOwjn%cD2BX($m%YI3I$db)3qkOMII2Q7hF zAvtu+<+-Tv88EhBtzKF)K#;NUa9xxR!nIex;6@_KhX|U<2#I|a^$^0I9orZZ!}ksK z5bDC9q@t*z^gdKIXxL+WMOPQ<%~3Ek!cFye-f4ryCyYKUI}Q3^E?cD}Lx~lBdtmdS zojZ|}a?}gWVxokEEdp7oVvk6(Oj`CTZt$%qIYI8|Au@?$q}WcOM|Vy1u%TQjl$-C3 zNEwS4Fro4Paw@KYP{$ytFuj2o?mNU5%kD$dXX1qlD}1F1!k3-hQV=#-p+I=@%shy3 zC4`Vc54I$`qhAMBTyD5|?`eHwM8IMU5Fr%gFLG6+2Z_Rk2#$hRD8mOF%~~&8pApz=KlL29Ts!&a{~YljjeHL;LWRXPY?*Y!$Yk-s1&C{Vr&J2b*|!*{;n zVifKlbn^WWl?CYmYfu{k#*G^f?SvKL3?91_tdU@b?6U#C3Bfiw>oJ^Q7V76G$v2L_ z!HqKZ0YMx@MQ_7Xm4<|{_fWDChq*`QgF1S-q8MxNlga-@R$9o7hvZ@;H2@Qe`A{`J^i#y-%NoE*+4P*NZ%E%z?> zERQI6cR#vCxlv+>sxV5fcv56WIZ+S-;m?F>(Mhb2#1~WnlvV56@tYY1% zoYK`fxiJ)iq<#hhXGtH z)F3BCLX)(3Xm9uJjrEVvP}>FkAS&V?o}0YqUxko2NCqpo;ncOe8xL*k^cGp9I_k^| z5I&dANL^^8%SaW3hvz{>HLVtN&ZXc;cu$_39mrhf&V@fN)aNgzh~5+o@ww1DU={>d zDTWW~+SugYSQVkuM38e=Uk7w7JQ)}e`80UVf}xc{f@)wkz6}w6?m6p0;ASX%00O9`2toSe*7|K| zJ2PXIc8p9ETfMIHvouFtUPBDuH^gm+Pv0NaNw=*w27Yw<8l*Ja4t&L<^DAbB$e@;1 z=$%bbai*l+LC}7H67D*Vn2>byOJ+>;RKIYMO(+{_&;&@A4T3`hcv5HRcsSBWcdj;6 zq^J9{G7QfZCO$fv+4YYbuI;;fqt4j$Eo=@j6snB$)t8QZn+bTe>8K!FwD!uC)8L7c z)?JH3jKM7Jv%$=Nc=gU7fYANN)rh-OIITx1F$@q=ojYVeGISEKX8=FC1@*)_cm0$? zYNYjB@U?g(gE2!p#J3n=UNF+_F6@YhQ4Yr^nZ zK!g#3h4JQFywVJM{-93=t$`w;KnNq;xB}Ni(OE>;!hgNC@C; zWIcqhS+--)6h@N67qw@kT$=XOU_v-`5(b2`d(#T#0f_ z9!#y16p)Pb^RvaZsFLCaA$(951qAV}Dx^F)>EE=qY@9-RMb&n%}cJSD# zv&n)V5J3oU!VGuiVrmyMmAN{!64D9_w*$hHR~D@@?lg)JBGePYSN}dEeN`0|Moee0 z0qtnJFsg38E4B-XVFDn`&CVXVAB0kY@DZ6bSQPzI9klD+8`m#aEXGbYelOaUHqumD z|I;QJeiB0rWB4isQ3PkjlS2R@%@B52F1HGq%pBdqSQvHkB&lmK!cT~xZh=BcB9L>| zMYQF*@TxMQ1b#mK9pb_gcI(#9q+hpg1MOxwgvJ5P zC9!c1jy~YKz5lMND~O^luhGRr!SGG~_eVK(S8Ll=h=(x4Z3l3Li#L_<@UoJ-XErDa zo&kQ$^C-kJo-oN*DFub1eaZBK5JJoY5t40xWU|3Q{*%6(0tjdK&98rS;VGjb5*q*6 zuF2t;qXNR=g|&a4zX%9ng`=Dxw9QXhUl+dd;?1V!VwP~E6kF|JVP*Tt=B3FwAj084 z7{W3@jPR6%!lxUcDEs{sP!GYG3FqMn9-*Djx)A9N3^PWWaV6M#6q5^z-|agPe+vz-gt2M;Xd;$E&?u{j~6BOuuvAllVVsna-@RL&s~L#b*%gY z$hM%Q9M;o=HPpUGY@yCvq$h3!Od5`}b5oKAMAqK{|M%*t;;+5^CqSzwB!wWt43lo1 zzqo8ItkBfbsYgdr5Sv5zvUElud`BE9R!%H@oxj=~vI88dlpQ%caxkeV&)#2!9W|B| zdpA?E`}@xzjR00KWg2^n&K#Axs8W)QrYYw2fq@b30wIzycdif8%>*+Um5daAG<#Rz z{`~9+4l;B##e)YY@zPtXlSWXKHF2YJd6x+g_TjN}J}{IXraq3qkLWolGZP@ayaxW` zANF1|>}Jfc^Wt#I%gZ4&G|mCmX<~0@=YYQ$YDW~=kWp!AE0vhOD;do@pMuW@e()$@ z$j07>gFpFDT|qnpKsN=T7|d&;5@QaF6kej1Np zPX||Uu73S1>EF2IIkEofA7CEB4Aa5w^dFGypDTp?w89(kqib#9NG(lxtxrMt zY70Ff|BV+3`FaSsv5fDTwT16j^OMW*94jxUX_u$(7g{&0@ZKdQx}Jpo=upJqaJG1t zQj-Of3)iWWrV>K>$iM*ibw9!Jz?*8Y6@oGt)F^n-@Nls~{1sXuAmp%@>@^_x;38gn zAmK+vsl)X!LOB38ipwki6bRwyz?JCO!^wCR&;VvLhzfsU=jCN@H-jb^7n@jAR+N{Q z7#lak!QLJowc9`NM>D*Dr(NG9IwSN|q8>uo&?AJFop6POi)w-)gCY4B zo4`KX9Q_lH3<5xSOK6i~Sb;X_M9MfyQ(vQ2mffYqz%ZYDXRM>KEEM^!X%q0;$0=** z6AWm4`o|w2TbwH1l^cw~Z#de~ESl5y{3HCa0w!X43`(1M`WX-PI!)dNf&;7;A%?q)y3!2v+RNJC+Y zvb9G`9HEEs9sc}Oj9eB+yR*3m&F*h$hKDvQ3eCLDn>T^Wn*(BkCqr8RCVmsKuq@GD zBSr`)Dg7Y72Q^{HSoBtrqBEg^kmWQ?c%g_OT1(>qAw6jYB+`N*3kuR=I#`HlX)6HX z60j|?CyCp(Iw?y)`0Q@l^9(j!gU#?8DnNAN{f$GlX*)fMhh8i2X8IXPECxq07fB}#$ zW*V4{BR3Je%|zA=CiZ9WY0F|S2^YFtro(g?p;B1`f_VA>Knn-J=S3ihBH;@Q(}AaQ zQo_bZmy!Zedf8Pl$bnw)uyC4-jW8^PvF9msY?jCF=!5fUJraa1*ssUI;y|=SA+$F9 zOQbYOu1^F)c+za|TvctA%M4)t0|g=0wIJvCzFzO*?+E#l&fwGtN_(zo;bdN~L$#n1 z?`Nlc_w^Hs6pT>#u>ME6Pyq-xxI$J4pA2sGj9a$}TL-u;k|gZ>l#Hn&Z)f8dR01ORfZlgdXj{MU&2QT}9$a?JX?jK$N(P`A1@4WNwvwn9I zgre((J}DP|xofDJY<%VcLsEI!>W;vRFu*&Va->1v@5#m)E8X=x2F^SVL2+Ub#4fP5 zwjOs0c>{gH*I=;VboH0Bx!Si~L3pY-FdbpgJ3S=_jEzS}FEj<= ztIwyT&3dGI0WTvGFJwon!y)kbkL>}kTQDRa5p=e5=XkjSnhBtla$-LL^X3J`3nHU& ziJhmXDZ&N_gOR<0V3Qw^AApx4v>aSyMRZ*>Z)<=%%2}abHXmUr3WOkW!;PL472r8y zgiPw!OgEj59YTRnOt51YClm=@K!NTM;SFK02{@WtURhpISV356URXw0USe2TTxnvS z-l3|$5gUq_X-^)`K=XlicE(O!-c**zXN0c4$4wIPq-%g7rG&nkGe%0ojT(HY6_pJ$n+=h6rI*aq+$gL<8`oSPg@1 zvx#|YhzGuM65ObM7!Vk-1-6Pn2rC4Fsi-N~TWfNo)2A~M(uo?-1iP48d)d*9?9B%v zF>#1}hD}joX;FMeY({}r8>Wpd$V<#jEK3b53e^^6WdY8D)WpN)5|Q%u9_e4K2tj!bejJwDHG_vcgjJD8@P3e{62<<73{f zn|*(4)25gx`ON!-5aqok%X%saA*1{b9HAwnOIpKhlh z37qLq(d@L*O2>}nw8w@JHrChIUoQR{Nhvs;Q)hn$!NV0#?~p80QH4fFIeN#(vXOjb zm)F(-LSOS95F^DxmRMm+I?}(RKk2P-rijYTw6xq-n^ykmh@W*3o;U^w|95UZjgSaZ z(8Oc%gs;E;0*m$_NKqaoIn#%aT{3gRoX zGGem|5;MY%l*Sj$D2)%x49iP(D2*%Cre=g`3sN&uEAzBPrP{Dk9g4Ab1N-A*d_Pni z1C6nS`To1_HYGHyD*o9~nB6)IVTQ}V%-^_qqcqw!vC}35Lu?NsCk^l%FBhaaTHE3d zL6Ur0A-t()WFUpgk_SLk05e`pm+Bi%T`vA&BBq1kqQbp;bu_AqbLUQh|4R&Y%M{0I z>((xG_B9{Hn_INPR|w%>ii+k6`2t}Zkzg4$b7rSroA)HW*6Ig6g!=*Ex%}1AmRVd_ zSc_HSV7O5l;kky!Et@uP8af--?UBxqa*EyH3Q1rq^4-_L1o6|wWz#0!dstD+&b_C+ zc(Vg>yf&*VwbntKTB?n!j!!N1N{x-nMBB|PFE&0S4j;~n%P2TfRHlv12+PRI%F}`9(0^bz zGq?8r`t>vSF&))L=oiwWd9#n`^3Cm}H$zNKK3{o}r__`uMX7|>J5LhJA-b zbERNCdxf~=x;;N1A$}c)Qn+Uj1gu`W;YYcZyyd1c!(G{8 zf@&S+dfnPZ&c4<&d#P9`5Vm+>r{b@gvf!vwYJ4Uk{A&J+5v@jS{Y4<85uS=%tqQ_~ z6)QqQa$+D!J@E_7fX|()&u6A03VXBD{F6oJ zkmlzzZ3Pwo!HqNL3(m8eZ8AbR=pzWCA{^DjN%jb>&5?yTsDv{vu^=oXt|m6CG#=<> z9WRJ03XKn&QO#`AyxYLc8Qt*K%PZ3%F+R2+HY=lA8Ne}_yTYc0KA>~O$4hl@3Wrwlk1PsZ|-!!Y%g~LPK>H`JZI|#=Oh~ZC1 zc@O)3{{8&M``bx?LK%_n9h4gmX~Ev3HQO5->mNV9+5j`0Fna2Mr0;QYo|ozN35NSX z#7B;IZ2w(Acr2%Gj;)m=AViy6AbkC`mM>+nHKjAJ(+UkCl-sL2cwA21$86klV8n?3 zf`YUAm+SklRb0#7$vbLj&d%d~+mPV#eNj-&a7rN#BESft+Qx?J z)p`U&&O4Wa9z{*o1RT^12~P1wi<@Q`s37E|@XUEU7pc~zi-aH>cAC!1&@jR-GfmBW z7`UvB`wM_91PeklVzs4t)v+0ISw+ZZNSZERpoLW-RP!peqYseUAS0{2|!a zbXM4r=ZSet-PkH>^PY_(M%+FK2F{7!D=udz{rIDt&IW|g8uy5SQX@Et0P4}>#z@Ul z=w85+e)(lMCBH5Ugg39&Hv&U!%J70XH6fvbHH-V%=)i%m9~lTU1QCxd?(?^9-FnUl zm8u01L`-t>k&RyS{sWQ3uqT?Ttt`reRXJ!&vkDwi(L1v{o9ZP`rWXqMZa&>Iy?lJ| z3$F}Tk7$`z=FJF=L*OjP(k{=WL(R-g6iWof-?U?Ej5n;=P?pL4n`i;Or8mRwI8R9k zKcBPg;$fH}_bWCk9VV9yjK%n?>!Cq$Jn0aFP7Fe2Od^48n@P^XxkgrR@NZp+pcX>*yk31{#3A zMn0@CUytCQf1a2AsIIEF?zKkQV8@O#F;Ef!jr)5k0OJ$2i6v!7UrJN69BLGDUNu_j zY1^mL2>Y1;LX&>L&?}FPQ9HZDv$WC~GeT=nVrWatvQkS5kns@2IN4K#kas^b%Py*q zjsm6$!ZqF5puy~9&f3Fgma)yYnUlj1>}hf597$=qNX5%a404!ANjo3oiChl|A(;*c z2TTP$Z0tA;m+k<2m^fhQYzT&+KAVD@kfd-w#GwAfb>{zEZ7Q#`vPZhr2?Fpv z4TWy-I{oOYe<$FjbEMcgce1wVWcg7q3#+JQH@4L7*!=VDZ5yjjT~1@%{V{3w&;$rq zQokc)$aueq1!Q78eF6xv9XEwSsI!$7o}v-ndGxrxVnKlSxZdHAGU2V}#W3Iyp>YQw zRf~)iD}){1CxT5z$Xvz@%~1wIL_s)FS*bT37|L#E=nSm`Qk3c=+BmIOqL+P5sJ%QH zHS&&gLLk__Tc*7U$A#TwT4C>1a6};;S2H6t70x#!qq3+pE44s*Q)@HJZ(6r&ZGx%r zH@E;r2qhTK?4-<)2S(AmU3u}$N<>2x_nS7=&T`3d$-%;%UnFC~IEehpwW4(}H3E3` z(W6Fp%{Xj=jhr@G1j{E)>bv0aqkDJmTs>C-2&WD6P@U4I75$*%?{+F)<1OF!1wtp}G=LD4{2Mtt%4=))U%s4@Bv%W6Oc=TteO{cu zT*{L+k?^CBo<4d~pTG1oRus7Mla?DU5TXxo=g!TmkL%Hl7)i>bDZ@?h}uS!4$)weFxbDp7lWWfd|qiOzVR9HdsE}tWf_=S zU@!0UDn&K{J`@1H*REe?w|4J|9hzhOYdGUIEG~q#Kgo{b8B2D zb8Fom_6S3iP96roGak_pcqsL=3mnH%t~)QzIK-o;<*k8 z%cEA|q#F(}bmGk|If(u@=}a>SaTL7|ZjI(CZ z8+ucE4O?2c1QtLeeDnz4{rn`{E$zSpi@>jH?!zNbLsbEHTO4~raR;N+E6Syon%sD)QO!ZtVz5gJQa)1Wi$ zqagezH`Qo`$_zhWOLpz~^Lh+7A)P_%9`iuIXQIMP7e zp1_O^gqh*v9zTUXkP3$5`i>1rt4*j4fp!mkTw^l`ccY`ZWsV&-NIrrj@Tev$B>m|x zPg9Rn>Ow&1WZfTf-aa}AS4MpmRkuC4Fi9Ol2Z$>mpot~N-otFhMOHKr!9UNR*L?rk zzv0(6B%xkSPgh2G6A<2c1Yf!U1I|fcxGjbY#zG?4&*YtCM+W3eD7g5}4;@UsmD(?1+w!c-nr)%K)F5iHQjiZ0+`T zC=c4d*B-ye2m9Gq#?c-HMLshsvu4aF2+PVtL$0VO9)=i)^YPz6i`~S@bW|UKkk?Br z)oumFgiuxBxp@8zdQqHKpuqLW0kazfnt*8|se+FUQA`rodBR;jdU_8}eFPyyOEee! z!f=1r;gjm0UciVKo^-(%6UU9k;(e`aAyk;YU;X2TdIh0u!|blAx-`epx|bPMokw+* zSja)et8ctyUidtOZ}kuek<&OYj0c1u<{sLT18}HCN(eV>nAbPh6<0xH#z%?~KKb+3 z`THB#c1v)%m4ydQAj?DNce>Rk&7qw zMo2#@2wJ+q27Sy>%!hJT6rY&2JS(gwOlucQ`>WIfJz{5~V2T?kzn~53Z!haHG%@Lx z%D)Q~&Fuxova=58lE=f9GQG(ROGU5T0ylGex^->u#M5egx^xsZA-x&SS&55^C(qov z0V_mR0f|+OBFFT_O}J?|g*IO40lP;&zVq}RzV>@hwi800o(LybJI!@=BYhc!Z@kfT z{SHlDWTZ~kj>cxatSzh-5yF!z>n;I72qvHmMIFinJA0{)y zT?>V@P-*TXR@Ywty!Re|62YGGKuJL`Y;U3i z(!@;RXm5W+D|zaS*vvdQ(?o4*84Ph1)Xut^_H1wFH0qzy5~3nhCtWav8LmBi@*-X7 zCShPupId};Kt;siqG^=90EC;6B`kog@p-!4GvMp5fnj)VN_g6r5Yd~B5iiZKp<+Sg zMCu>Ts-5LJAYn1gaOa5zJ%qPE-TdInA`9r>&cwB!QE$F)q#%6tuN$IoG=q@mnBPh503J3$$xkZ4;cOj_Y)F^rU&8fq>6+@@X~4!5{I*InwBzBl@v&3 z{=nyof1Xa@J+9%RF(xP8g1IW?sjQHljQfo`BfP>91yo}>qUh9wptZ519r~ehrPX-_ zsadH-sd1U9be=x_?9b-u-~(*$x$#XqodtI7YFCt1YR=;@Zj6ZS_=mu^y$LpJXu0u~ zp{mwM%?vBbE5Hx*PZQ(gfZ;c8J>BrGqYgvdixo*PwW%O?xuen@(5a@th9l9TS^Rn6&AeerigdP68H1T%7Ivn|G* zt$BB^{eJfZJn4bC(+^*~vdGx%SErd4$g>RJ*E!ObE#7$J?-cT169|nIgckTRjeTvG z1Hy|dAJhUt-mPHzo5Vr}TsiOHoRq-gQ*@)}FCO0cpMMX>%_gYWVwTHAZW`e|WrY{& z<)qqdR|O&EDxeSvTR20tYs8)9~xX~T}(8-)(a0VLMp`~FZT5YU0 zHgDj-88rkD=BKSOQScEYKCR^eRliMab#-Pa$n8OI?qYj;kK~0^ z2v~E5VKZ^TUWFlp;TIzV(?|MefNR6 zx9iZUvK0s&twAkliiQ8rmal>kMa8I2gs_*7v7_x;xQvU-F0BB9qSl?JP-MUhnZTsw z+*Kx$hc~YN464p)X(?ozqQhOxWag0q@WRt@UIM}u5>WPeg_F8#SYFd;0wRdueH!7P zswf158wje)g!slewKp+mPuqbbiL!WY>E6_g8DU6Ze2QXK&>L7|qQkBoDc!mU8>3xY zS66p4h&z%=x_8qby!{Nvel>Q;RN+rcvtWudQe(A=M~)O}Q$a>W&$N$Q7s2o?Deq^J zo8R4dki`cy!;2iKzzjF(Aw-J?r~FV>;J&1{J6kl6X|@T_nc<`D?$F{5O+~+6F`+mc`6L(Kss{3}$p^NZJ%R`MJH)iPz2o2wP5yBRK zJ#wIPr0;h`M(XH@wFGnIGXmjhS|A18cI=VM2Uu@R4o?nB$Ikt^NBGvCd9dO8e?c4{ z5Yh;hfN8_Idny=QX#8@D98|;7{?O!P*^$CJmyCQP#f`F{_*2^~nPDzNfnO6KXe^0L zY-(&)d{JKJ*+egveP$Be=s)Akb%ysg7AL4bs-&O{48o3-VNphV+)mHh*CVM=Y(Ee$ z0<(UYdU&bfe`sFDS%(VIF19}l2ra1yuj z;r8)*!x9kmW;E=OZr4S^KmSB~6n@keWj$DbaHH7ch4>_G&<=@AY+`JtLnfNq$E#7c z(}U{5pYohtx(Iqr4|bdk3XVHq|30;{tZVZ}hoitqf6AIs+^N@$Jof7{6SYNPaX6Ye z^=#j|yHrEn;0Gd@Wur{m>V`LpdCaF@^SS|o^;$u z@5$bibD{E^1_MAB^2r67VMBfX#PK+M#U;fYkCgC`grs>%^B>%}f9CK>KzMS=Dr<`V z`SzOL1YvVW`f~ac9VsF7MLJ_`yo$l_;<8$bVjesAUpzl-fW|4f#^71OjW!U$!-p^7 z65jAME_3WjAu&yb!aEAVN4>#2pOOSe3em)np&~j<9Yll>9!$}tqkm@5k7Be!X%eU} z^FXAT8CBMZ;6lv*64}v?jV&qaCkd#^UIdRW&EPZOKa@@|%slRf_YP;Z#FHO?hGI`W ziV_sjG$4j?XSHEr$dxb|CWcO?J)L?AhGK=5%9Bb$!yFG7-XO^t%sdE_dU$xp43WJG zLWs0fhERPMJQ4^WM+SWH1?b+0g~@4qk_snHn!R}bJ=TVt#6i&;;z>Cn!Q}sjpzpQe zC_5a0@J#ALU+Z6;I`#4eR}w_vCJ6sVAz$rOzzQ+)?O^TbYYhycp1b5C{(ILcv@QtZ z*}4Zl6%4s@8X*x}S+@xjM6}hCp~#++9k^dNXHtIjQD1~_6pRRk=+1!WJs~JX^f6+T zmX0)L@Z92<$(DQdgN&`sXoD;U?H$Di7aorD zndV)!nRqg~5ihkdT62VNea>d8%|nB(>P^r1tfKBcTc@Hmke6zvw?u$ga|DYQsi|4Z zGZT;G#nTSEIJGv>VW<)sV;)r-Lr;1hxz`ye`A2V}0(UfMF;Gp4k&BvuP$m|`qHO}| zFA&0~`2k-9Qk8^4vD8a11ctXRFezb}n&*89FY>wYVIy;=$o7e3_hyU*y;e zOX=2t@U12YU!IZbt&nvgG}tUz5@M^z+S<`-(Mi;WIk3U4KL~(7{P4rp9MZeXvtfjf ziQwm#HV{JCCCG(oAPf^i9+wdWBUwyR{}~(KxC)OuP3jKpc-dx_{&wS^O-4xJUyJSv zL3Y&aRuMsjs3XWk!;r?9m}DI3CLYw}c%}A8NoY^)Zy7~rkN4DOW@PR?BIt<`8Xh^q zx2?}st9@VoLl846GmljIcC9&bzBqmrbI@e3rQ`K>YFi?3N$ zaH|p!0>}Zgm)?_vrXteMlL=l>ieEa(qsa+{^X7rLw({b6?ZxHJ{gIHG8aIQm<%?GM z!r3i>5cDT7xvgM@G(+1f7f-G{T7GQLr-bkaK=||4-5__QXJfzO9O4(;=!(_AC?PpF zB?s17zH3(%9chF3(MJmwvlGBL=!yjl6$*ohA+@|BR3yBmjF8C;A%r|$CzkW(;MP0D zCC0`Ul$B`{YeK`ibz>3#kK-Av{Mwc7jcaXElG*cYP1mk@zl8yvvb|wCwD5F2E)aG- zTci7kfnXR`vb?KFWd_&U5=%pg^0|b}!^m51#)E2@FaXJ-Nn73q=`L7>2nOgW-gApP-$_m03FHK1)q$dy> z351STXwLvbN9VQ3^ncn>{_}_*)I;TbKu81|9-qN&vj^*Tf=rW?0ERXIESGGiqC)vm zBFLFE22@n?hKLkTrFl;X#^p*+KN{iv?E;~6W}+Ag2V0;QAvS2o%?GdrL3RQ0CAG%h z$49c5xXKyKVXBWKs8yde`Ayr#!2Y))1H+z`H9Gj@0fbn&?@0)oJ=)4Pu*BnS47&C_ za-=nCM!~RszvEh;Zc-#VWEPZZ!!lEg;uHJ(IJud*nVFe#Tq4I0fFTo_l{7=Ve2K5u8x>i>tn^X-7vFuybzsPC=j^CW$(=l*cfytn$_$YM zAw9ry6!;e9*;vyqoVViANkCW-zsSxSYVnqijva&|DUS5nQt0#aC-o6Esdy6_@z%ap z#=o*FVqrDs%9S~%b2h!!>SqNY5Zry@*nS;?E2HX;&iiq75=(ZpYlYkk2vKcZRS51} zy?W=)c?rB_=<0!1{RDEJA^+$(9)k){E?5*kXM{iy(oQf!azsND!(w21l4f%=>AT%i28`^}RkzwcK$FY`e_%c}mRYK8| zn)o40u`$Biw&~-%c`;PZP)2Jav9|Qb)5b^;{Q|I1iNPHnEF=2Qn)gT&8c?{Yn}HyT zZyo3|DBKF?oj!R5olW@BUq5P(vd}^g;p?xrY<>au#U80xp+IQa!PwWz0#gnsC;Qs2 zU1(dEbEs9T|5DCvD-eC#ae=L12GdR1q}RuH6mI%Z2m&;b*mtSo#-9f}5;_bbQ} z2&IZZ23nbkG&5^&`;uw{gC)Pk8ng#k26_PTv!;^od`dFa?{&|SOhn4E5^IB=$7_(_ zs4Amfdr50p=oe&x-k-HZTaZ^>79ZB%=OYt0Cm+F(W@s(FZkQo;vG7T+WD)DfDmI}?1^34{MI`o1V22x zK}W>tiiR_gK*xQ}og^h9-3$Sh901}?;4U%3JH^THqCf8Zo;C`SLJm&G2Ccm8lppU3v1LzC7X#^N`Yh-2v@?hP|G^NvoB>=*GGeF zDi}Um@Lgb_XHGyMy;M2&eJ2FFCczA$hW`+U$^!#Xi5Y&RMkZ^SYll-v0DcxqPtoprRu- zJisN1y1LUF01}i0jY`sWtz*A7Xv}0qad}-CjD2V@g9dZ6y%=2z*iZ; zLDT(4qQo`7j*940RAnLUZvve8-JwrE>40S;xt}2qfY{Qv|o|HC!bD=Q28=0YXdP z;e@uQH#hMjFeUXHA2M{sh8r^aMMi_;ulZGXPg8qz_qE^m3laZJ(G^>JCqn4tfW;j( zYf>8(dc%9}D0WB|CD%D0V-^wOjFvzltLLbIZhI0KcYDm!f5gyBHiVVrhvhE^M2lxW8jCGB;t zR6Hp#bk>>SpXcdG*SW;lzzE?=ZK!&TTa2RMLD_5GS6vaEf9~G71%Y3TQzV7_Y-nM| zfRH(F!xL3loT}JYm4D(OoE-9v6Tq-MXIcEklk}rAfuNbMu@m>2^p*X~ABl|mSlH2$ zjugBbGkCHDiA^HW^I9gH={H!GcPsK-rCH^tsm$#bfvv|DNm~E3XpxaaK8!sCmVH$3cB3f zP227sE%&xVX5qr|=J_@iI7%4FgB<~pSSZDTpJ3EhA&cj2dP)+FV0itPtpeeHw?feQ z*okHF&`EIo)e;bPvR=hO1*D&v*iSF?NS|?O)RhCuB@jYqG?;Of!`Ollg2a4jQ|-pv zb8l}uu>1Gl_uW6dEGp`&uj)92;xlhC3%+1zt70{00efqADkc|VJPbaK9J{BZg$y4~ zx{n<_4s$|y(nuVSrV-Ywib9MKeHkC0j|X~%LZAYqveeAwrCAPfGmad0HhInjyGo4? zPgrxL{cl-@Fviv;MNM*ux~FSKNy*tP!{-p}tgVDLP{#3gDn#n4MQOXeE#rLzM69b- zpGB{`h{XNG*#6f2%-wu^OlK-Hw3eJync_#};vUd5EB{*f&0}y^> z%r5tvynyq%eog!3dZhXe8)BhpFAJW+F;);dFI@CV)JhyEKV7@&(Cux9?pEEs6jc{> zDC(;Nn>Yd9K)y^N9BD9PA-B03Zr-`qFf9QF`k5T$VzL8eFY0291rrfBk1(wNE)d&? z3mS_XZ|RJX-BDv^6#YNu&UIMgk}On&d5KGmyV=)NEzS%}*>@Zs1r_U{F$H zU|4iB<7MK|PISAB+Uh@K7+12~sORwv!?PKNhNgXVAQ~8`2DsRvnUBMf zmX>Mb9gM;IFj1~lMZ>|8(1;l}uIE*ekQivrI*jP^^ zTq#o~L_%wG3+OjN1Sl~qv#c~Tt{`?Gx@ta|XBVNJt?OfpsG337%(I!5$K4DI_8vL1 zH`OqHZ)Nq_g6C~c_fRml3CGOJtm?{vhFK*U+R7}$CR6Nc&_>ny@0r9^*34i$1fM1= zBR(q;WL%&2-F%ppqV;Gk35{(O>k4>M1U=|f$JpS&o%ci>L_PGa1PGd!pF2HvKh<4j=j+3 zR&@N=^mt&tF`K z1{*p@Xxfk&e5WF~5JrgUKG`(vZ=|lF|4h+9jEB_Dn|KdoSyVSMeN=@$~+#oC=u}cPKY7N4_BT5;jG$};+wc=7a#|mCSxp&L+Bu&&MGWS zxc}rSskV2o|00LZ0OIZ2cei}*>}-qO;~sCbIkSoozS&k;VT+b6nlDp4f8;=sXWF)9 zo7>n95PmHA3}%LloE3y853iK_5p_WD(C3E)!6e~f;K39T>Y~|I*II)@QVd;!1tG;Ve1LP+wOlGt76-(a8C?-eaNQITqB~(V(%7239zbhBY9p zt4`<_nx`7$ZEQ&+q_*LMr1TJ|AP{>ub@=t#xZyVJBxtbG;*dz2$SW-WOLyna;c> z=}ZqyDx4QNN&olRJWc`#D|Qf8e0+y! zZ-fKH;P7C7^y4Q?K$w{J^+;5O#l=`U2ZUmTaHAm2fx2pEF9;?UEdf`)AS|xBKpElN zUHjmqYgcii2D)+5GXNzMeU^>3RVhqcop8E9C%-gOzib9Ifv-Mp(zUv>3mP`glGM1N zw&;cpjOsA#AR-*5#`TwdZWI$bVm4?T$b`~xdH zI}0;ta00>(R#eA%9>Tw)KPmnb(iwc37!>-N_m`B^(RPt7UUPU>0>YIllZk>6(gX=1 zy(MRvB-fyE^S`SN<$L(>d}7LuT;0PZNhKKQJ#Hk<0Ko{WD)#LYBU~u@+n7*-YzQ?O zC|E2{%`C;HJk|uuy0w2#8ZyRNnFXd@4fa@}c^t zv;M8o^B@|TloTMK?p=;ym9uJ@zK68bJhTAeFf5}iKC>Xv4tuGLhI%s`EF2n|VPigI zXvoCD4%qLJXUr zSOZ5Y!4OBPF|Xir`0(MiJjAoMt`3o~aCc!Eug!7-2G#&isPBgnK0JoGv<|{Fo)p0g zFFlvnIPf!l2JBh(I5r+y~1!PZ?ZDl0Qf zj(2gYtkfPqYn*umY3SMZO}1#%+z6lLq0c{hM2!@lIv@>WOBNa$zFm@Kmbq73TAJ5I z6^OcU7?+iih$gK)&y^apzVD$=Xs}*^gr+_}fXSstOw7<^+z%f+c`O9-dgJOrP>??a ztf8Hoo6g}x%C4(78!DfJ3w+}ry zypr2_&h{3%Q0QdgY~Nv~SmEosBNfd$YcGhFC@!$-&N!}uVvQa`XXg)W*De!Rx>DT$ zff16I2%vV~7t<7wDY4r-5_?=I zK8PUv=tYX)13?<0ubrqk#cMOs9F3(B`k1_@j4-2QV4JYLWkq}K4NOY3fX!iVL30~? zArdxsqR+$Fl%wixF}}nY|GBdniO2UIsX4wk6^4lV&eAUi!!JpmNY!&rFVJ|;6TLgX^IDTy1%7ONa#gt767MU`hUEWp0Jj~F2k?1|F7 ztHIgo%u1v(!l|gPe7jj&+vqRp=*t0YLb0zSPWW%2<(juQ&Olq@z~X{CZQW!7 zj0t}A-kLBLhhm0J(eM*hS2RZYp~yqaGlY-F=+VL8*FuI1#Uc)DVgg=H;REOZRly9e z?b|PENr6hcjL(kRJ=;Yl;>MW=$QRenS-S*e+EsSloh)0oZVxN;wX!#x2`vryTRbzuvdnnx+2g79tm-8j z?b_93uNJvX&2jW$Fm9+cG>qMw_nZ;F1jCo(Ck3MZ4N*kX8~>%sOmqiq%}O#+A7Yt? zu2ibS(5$m(F|(XuZfxGq*xHRsAWde7ga*OTGZ@UXS+yYvFvVbRSf00c3WN`_LkULa zesu@*Sow)#FvEsxRUC;|?aJSkpTEBOi0aq zIyqbQhZRaJ)H~9@a%Y-B_&Tky3zaOJAY{uM9i@f9a4jV!Vdo#-U6DVy(}EO zsAU+RT9%lBs=lP!)*9-*QcoCo?JWX?)s@<_$VMxV5JrP%N$K-$^#Adr3OXZQTGLtV zFtx%9BAdu^^ z2kWoN{>V&WgFz`V9y!S|&^(SV3J9$nEa*0_ zoCJt#<#@!m-)`QsXE#vfB>!hnF_gR)$B4DG&8poxBYf?(|NbDeevmbk;@W}*7>?n~ zfD!JyCPp~M_rw0=%UIj3S`|klOw?v#2hA(2rbNrvBF;

1wyP4An&S*|@!>ZBl>B zFi1sD&9GTA+B_R2N}W5mefLEx?97{mO%+FHF+uzc+iQzg!C5UJTz)o-6-yiGc_S@d zSW|)?U(s^J<{41D>DS+sp5GA}a6vLHeDQlx_cMLMV-2Cv6f6(ODVqtiXl_}EOF>S3nrw&Y|*VBF56ZWfr*%+rDH zXhzdMP21H}(aFrJBc1EIfB(PVfOKYd_c{N(kfdoseEGWH@9X{ym9!`CY7bt3F9{;L zgYSF<6Z*Yhs4(Nso!Og{<9@G+V?r2y2?9d<09kmt0>ZkZ3v3PArnay!J&X#QTbyCQ zp9X~Ek{aGox3DhXeGTEt-@o(z+cHl>2;cqe2~hm}ztIu?^s$EETi4%G12=CxeE;!} zL_+o-MVjpcfl!eUm9 z&(K)a;Vq{VO=r&@O}|pgSY3p(ZoniP3!6wRw)b0Qh>@kXeq$iFv6F;tU&*av43ab) zarAc0fQD|;a9Hw+Uw!$HKSX};cTCkOCHi0g7oLRs+xPyxbn6P9XWH+i#KNuqP@L%t9XTkTT5%X zRU{NXhs(OMH=>&KjsluVFrm8h(mRwV!G*Y@&k z>E^OFJ+}@psJ4AB0oCAp75N=*5OA2o&QbMHRFMs=wfBjv~@B+jC^}DQBpWcvG93dJG{B1>w&~!Y9ZmzQ>zP*n+_!J9k=i z(U+Gu^J~e?B_QbL%DfV8tF5GC4_F=>&nT3BbJHM6BC84<&9dY;A=nbRYT3+$JU;j=ZloHI}eisXS z90z@@8n}EX*PZ&B5We;1hnT2%g8uI3cz*lae|d24(fbeSVc4br82H_wo;*ni1jjKn zao@$pS2TbG-9BR=g!LyhLs~j5QgK*Yi&53&#hI=FfiMsa5yGf54H`~Q<4uQWO2jB| z0_V|#pS*Ydt+xe1&Lx6^Pv8Cg2|VG4AHJ!X(JM0jEdYY5?>~6@!Ixr2ekR`FXYc;* z*D#~gqoWwW?+wC^CdZSr$O%&rH1tYN$f!(fQ0(XN%JRF${D#r6kt>_f>I&(L{Q9EQ zu+KJKR6{dO&wpOr+$-kIjg85|vR*=GMAO!9W>kvAB7@d%HtRJxtPWEzAnfUgYL*l< z{MB!N^jEkKj!Mhx@BI~TGQRg%hA0HYD{r2vtN)rTeDe)xkbFo}N(i4ygYbcy5UMtJmcYWfI3YBfF%WGZ#t(xtXLJbbju=9$7;59qF@dm`iQ#0x6w(sIX;Zh8 zpD>?ckOmiU?%sawqmQm!5i^S7>^(yG?vu}-qTcp_zI~zQ_cc2zk=X~zib5fgEd26U zjAfiy=*2NRd%#bPZAde(@9w1hBq3(ETT2k;_j?R;g;j&WR6v`LV-~m>qQ#>nEJ;CS z992I;DyMokzc%ctD3reVBL9f+h~7O^Ls9*VXiTipEa$iLt8pJx6Fs;XF#{PKH{_nL zDHv$JfHCX*m28!i5gZRCnJOik<~rC&SP$ztI}XJF~0 z4r2+NMs3BSsazD-e`7_dyQyl{v@}oC3R4CZzRb?{8+%ve2Q4VPCeE%1} z`|_{3Uq+sup4<0|nU89#t z5pjit5VBo>5Lb)GQDdowu%aweBjBYXQsnk9q`?XZvFtlNO$edp$SYWvaS-mM_Pac8 z`|wKrThbyyWcBpFJ^Ag^PhS7KcOGA_hET;j8iXGx2!95~zWb|RGbJQ~L7YP~X~9f( zl>--v?2g|qg&CXdn*oL7&UVfPisYG1G;VJ1;b$cVRupNf5NxXIOf@xDRO1>eCfmwH z){f>051ClNl;*ODWG=gvLV9nt(~{zFv(WI83QB*8I_YN7t`dsJ0j+p1~{f(R+{I`TW2C5iESb1Fw(X zzxN2T2u~m16|u~z@td5(8a>2vK2E z&C^zyI?e|M=SnZ&Tn2Al|+8^^YI& zBFz}y4T~_Nm=_#IP9b54W5nT{8xM4MoY${Uep|m#=>oIP9qeOe)Q#8i{sbWmU?HU2 z#Cx8jyl1T-lyk`sA3gl~`nmHDAAj-5jhA13^wCFf-}Ogx@QcU7!k?*t^k2SrQ$~NG zi-4Pw18&WZ;-$(lt!FsO>3f^)c*+4YhF?XS{uzC>q zh#^F2+cT>;*TXSH=JpQB?LF9z!VoMWG^uNz1MRQghBoK5m+6LIzRlZyc&@#C`)~fH zzU~Fm@J%fvRH2N5kZIuuDy8`HU%vkecL_%YK^P{F++12tt>kmdxIkbM2&+igsDG(t z;bALTLCq3;>WxtOTl6)H3Klk&`D##gHl2n^#51{M1j68^2^%bFk2%_HlI}fB=`Vlx z58ssmK0GKSK2@RS+x(*0Qet@J#EC1fzxP83bASHiHy2J14t{6w!nwPz-5$L=3PqGL zm9&kIPtAdZ0fr%vsd5a@O=9}#oa7Ysx+^^9a#~%3F71pZQToE+NheB5c4id{!tODQ z>h`IFth`XnK=|5ifQWCG)yKQ9y;e_)tP;XE->ydRry7E=qQCz>rPju%i-5b5%{{#V zxz@A1Q_OFztVU#P&Dg43p`nt6jfZ{VQD9c^N`)r+^qU^uG?il18Ws+3W_t1aX0t0^ zCKh4l*AU}hURllVt)wwe6bcH2^oCB&l>XwEzyH7gC)Py~%b@Z7^uZg7hYCZDhSxDb zSpV94Km6ohSRwuT!^DsjoSRFh19XL*&>^3k8+P_xWmj&vZVP%mR}2S&b!Yc--jrIk3+O@5Rt}s5ASl-GP3wzmFlQy==cgJgoL^IUgbK6z+xtbYVY9Hkx4*Jbv+b-@e#_TRqu^0iNX z{`kX>5kowB^pN8Fq8Mlbp@*j?`Am&_y%Np9@w$;y2!tog5FQzk>VRqxp3xwjMm!^` z2?0-cJDX&pc222fNI#4J#YqqtQjF7xMZIz31`dZ`sRxLHp-w_U@C$UxgoP;3|H~^= zFJqrKVCuFL!7f{m+aF`6a5hc1-+6wjGpD{17Pr7kd%K_-R{cb^Hf zoq;}-zWd;}f^v`*5RQ(r*}}W?5Uj>SpGbFzg#S9;2`|)NDMzC!q4?o@?0&xcB{&Gg zFA0Qwa@^cz>oM_eR(yUvlUU7WB8e_~8^G8aCWPzz`@8GO$b5Enesw7TXBY}A zOB!^Dh{?4{stJAXlb^p%2r)tQ#XCQJ`i9O!F{0N`i;(CGS6=(ium3;=4=`G{c~5T? zAK_1AD2@yyj2eViLWnaJ-NCEq*;hm}4aa>@zK{b@0-;lun-I^qok%F$(4c5XPfy*{ z#f?gAyNb;5EA)s0;U%6<<}sCfZ=J&5cS@_=ysaVlQ%)fK2oV104+Ibhjb;#>)BLKGginfP?|9qHu4%a`3=`m9BiyX&;S6#{rWbPrTQ^g z8V^N98iu)|tRJoxW(}6r0xfBBb>3=bZn&AtWtW*&geDfwGc|;PB@M4}EaiLOyZOn_ zKVqE}7{2rP-3O(#5Dhn;N5m^~`t2V-e*Hf`q`@MD_$D_@ps#pY_P>YKGd?@#MKluy zgjT0%ZgNa=iqnSz(jz0%22F+yS%pzc4B-shvE~393RzQo2PA#kd6}FV`cz=K$p#69 zu>U(agR#VPdU2vLqPcD@Bg3FUKg zp+7#C%4e6yQ;`UQ8N0Z`U8q@Du!UwJgrrZruyPy;OQIJ133^4MC?m?GZHF+_>!ycT znBT_#jhT)@#$eejByeaQW2LIvok(V~EB=tj5wcV88O{*1=MvCJjpmgbpOA(h5y5w! zK7H#=4L;&m&#!M|ALZwdKeqCm4~&BNV=|t;nQsKuIBqIwyiC1SXXKhj|#KRk#fd z@4f%lMO;3*e*HU$Oi@Nc1@!}rUHtT~pZ@6gzafHDwg`ZPbcD_47i_^a7VG1SON*Io zE~CYxl=UrU@#^P`E!jd5!a$3ShTZ+378`!yaeXy3Hes6)OG z-|`gAh!;}ZJA;6I2UYC{_N z&XA`dhQE-R-`~SXV#^>`M`b|Y&Xu_x_)IUthU!{lb-tS8sj&I zBAw4|&d#s|VLrJ^XSKlij|}^}?Fk!xsqAb4uYlaK_8}OwXXu5VHLy zoHaj-$gwL7`Onaj4pvy7hj839L3fcaPDyMki7zArX@;QgtA_Lt}y}+3=I76sf z;?EHgDw`fUWN?GNFA$^6{ucsK*u%UljZ0SQ1@!r=LFW{>2t=9=41}cB}55Kv6 zS%*;bggwoc!NG+t2doHKxR&4D&Tr0{Xh(6xyxBnrEmZqKix*q-%Ll85qgYtkjzDEI z>gfoM^4%>lle0V6VRD3Zp=X;wXfagRO!X(nv4DBZlX3^#Zqa7hfT4dYw*!eD5P|;bUqJe(>ejiiB6*e~bpj<1fCzF{ekjQNg;VUZl$+26k;y zLFgSNhUB2h=??@vyyoT(IqkgI1R+bU)%3zqF=)e~%Ud!&GuW)Po8Sy74~#)wj4^iv zdy&QokSwuXW?DNb5e-9{YZPQgfW^=7)vq7k`#=D9QL>Sw9hDvD}J(8)y)6(pl zHcd~%-KqeOju+Wcz}TwE1uGoOEUbFg(O7QW+=x=JhN37IO`biHTc7vOu4mWN4hcyu zRnBm799?%$xOZ9rZKVZ%jCnH|eQEuFW7)5DTs;TfLP;`B?y zW2Uqi(-MT1(w|gSqlh+_X&iLm?9&G%zGBL5MaH_8?%9 zP^)_M@#~Ktzw;BwD}DIj-cP>ZDZ6P&NSd`S{w9YLwcU=IyaWhiq1JtF9y z46xse8}1`c6I@~6)yfKKO|Q55u04PC1--;}en6_E$SU0Mg;6Ii0734dqldzrYz_fJ z%+EvmVSJneAEM?9vp^$pZ3<-?nhIFc2b}muvh>k|he(6&PKh0bal_sYbbo=MZSXuU zEcePy<-}SppIi5;cocK6Jlw4$NG zsAzZ_Us$fd3;}K_GfTYv@ZrPvSxQ18ba(VFe$((ZLg)d69Rpom;2=n7(IA9UkAG28 z3Zt;Ft2tlnu{esDAl*NJM9J#GoT1T8+BF?Efnr2$&FOKLH>TvvIOkC&`Gp_`{KnSS zk}0)RndGuN4Cl7D*YK`b-s{&?g+v<4%uOf1KY>+4RJ!d8EdrrAs?+c$=XZsLqsWXu z28P%j{Nkf`sGIlt>p%X%!&jv>MGScdk=LDv<&%p~VI4FAI|>py2qJO{j|ZzHu4tzR zJA%G$Z1`T(Fa0ze)u*Vd`XzyogNSg34yQnf*uou!lYQxyI-dk*NO!1O7t=iHC$AJp zcv(#RB_z9SLg6QO@#XTXcYz%cY_slJZ;)WO5UU5IWQ;0VnUFZgaZOy(}!H<*}*I>k_Hz_DirNw zHI3t@+U6APD9_D=!)n7~b!BB8Sp}TSg2ARjQnwD_&6|@bINrW}iTT3q*Z#{#`U3!8 zdzr7sKx;(QURGd%;n;2@sv(P=T}{G=GmTqcN@6cMjoLki2_ zW|XJnkO;lh@zUr`nvnocwV1j)h#);-W6PkCx@TC&%x*5FH3&7Gpyi$I9Y0>pJr-pQ z*4*~)YHdrf6pG^Yb}h~UJuwS6#g>jwsSmWN!^4jLRz{{$H#HopbXRmZ)H_1NXmoKe zyVd8x(e@zXo}B|RZqS;RYPN~CaVA&m-~W5HlKZ|m(fDoZ*|XLu9U%{y=* zH!ewDg*xbMez`q*nQvst;0fHcipYr|g089fBuN;d9mO{{x z3XjLGBtWC}o36l;4se##i9gdJS%uqq3mhbZ)RPPLLAbY%(<8u8)jZ`^7DxzVA4a z?7m@ew%y&=jhL5q^nM6wAtXgRN*ghCM_e~J9Fc0tJs@o9Lg#*X8UzF@m>32I&apf* za25A$kys!x?1K%t%mXUJmsFjIpR0Ijd2YaMtCj@*5v)aw-X?_8Onz|cT=Rr2EsaBn zNFlg}gFXqU|K{YC%8M)PQgauTt%%ymiSp2(t+n5eQD}Ub!ywq~%?cEg{0anzlSW-j z@lgA|>;)AKODqJ0>v(Hz@8om1SUT@DjrbfkgJG}>$B4`-t(YF3nw=Y-9=h+oToFKZg)djQXq_)25zw~LlSoMcF-L%kr`Eaf|H*r)yKz#gMuR+ zX&`rkWJx ze@1t(t<|--I5#T~r}+S-;^UnBY>qTcS~Um_M|C?IwYIUwYfC92b&Z%gf5Db>#*1T@ zCR<|*&nk-kG*a?u#xuiMZtuR#tIgNOBxm3UhN0IaI*^EuekVOPrmQGQIIJ>?ZZ}DY zLsjnX>41VT>Ik?!X{Hnv5FYm&f)EX-3qv-l&rH)=Qa1-&oMyvUx)gnO=J)6~nRr13 zsGxa^?x(X`eaeVYhuMJvh{}fG?a02^Wd!zkoUGaf2hixX4K9F#O+$b%IX}OY+Dgs( zM+hOZLd?x{HFt?GY$=V98mjS=nO`j*WPi{hc2tPS@8yFI>FgXa99Nc9?5Lrt-BFU% zYt%>ON*68kgBDTKd}=batk%Nj# zH@6I1W>}!H^WcbF(M66i+RY=)=-%@PL3=y?R*oiOIEtw{W*+f*07Hqek?~+57=xmc zCDL|WV@GNl5V8be7YH%f(lXSfu@GNyiDJzgRhMAIXCZO4RJg)Q0A=i6P5a{4TL@u) zWN8itG%;HO@218``HX;Oklmj&GAR%>ec}qiuf`SyA+Ax(Z(%S73eLR7gc>&? z?CH^`&T0Zu*<``f_@b7~$@IK`X$}CExmU(demDmr(ix%!Y&bfdsEC<#aYX#FiiHea zw$|1*F=iJ73k{VlbWZyLVIVMxQZ*2J`I>~~{C*lS3}FO4r>8+eI3Ao=_g!`dKu{nX z2&ixr9F$zUy>B+e#2)*-CP0W4?K5h#u>N@k(z=S4Z=I-;QpXD?eL0qIB80pr&+9u7 zW9z=fMiWckEU`gw%LEjWAoBgwr`o{m14}S5g|eZ9tI{#RoA27VK!`USZ*+=@9BOR3 zIMiaqq4UJNpEo@nyu)kMZ!y{Q?rb#&Uo1arb%}Ept>*aR+*}E;mTUmERU8Os&`XF$1EnBmq`lD%4wzc)U z2w_48ZBdZJw^tTRoWy^2^$Q6NwZ$F%$c&*pd%A!+4(w>Z?h9Sf)wQ)P1YR-Eg3dxa zFF`l};pF(Vj}SV?op z3lO^9W3Z!*7jjG-wPTenY7b8IxuaC`8pil12TEy2VLjb$ zUfAT6cVD;9htD5Xw{dZYjGU)ft+*spzunUUA>I&u69ZkGmTnn>DZSVOpB~G9DQ546}>NydCf2DVd7`b}Xe0PYQ-I zzYdtinmV1A1K9pyJld^_Gx**)iQ+cmxgcifk>=#z$6_Cnr z!7?i}h%kLYQ|-0~XBHMF@TQxLGyLik%%C9J$FDM{4;qg6q=CX+$D7=F#Adhn!zn4u zC_{=a@&XBZo9PGwI8uyc#S0Fy6R1pmf`(3B}G){7{VD(z~PPt0imTu zv!fR;4s}Jm=~z0ozP`RC)iuo*u5T3g_dFPR;uBxn+uJJ^St5P0`e{-n?pCXRR%0R1 zo4+%Er;MUzM-_xZLhb)-sz@eu5WU6xa(+K<%kOV3@9mkx`t8`LE3>wify$rXp&;xv zs+g3;Y5%0p;Ys(s+RZK?0+?%rjNUKJ`nq&2({v|VLrDMx2YnuC^SZgR0-8X6(k?kw zFd7O3G5A#5XsXeYJ*v!Ia)#V99PEJzZf{Q%nMw$M4azjZ;LL^7r!VwS`ZW#l;koJV zc8R0#J->8!2QFP=yG}B*l0VeuMn~s3B7*MKM7YZ$o)C5v`|v|HG@Cd8CHk@2RUe4R zZe-g=_Hr0UYqdg@g0^jES6=?c5(9;W%tcftq&bNZgP9tOLKxHe=)|7sp&y}kx}8(* zh+~*c05n80OdW>tQ(99NreHu#bT=3t@{Re%B%fe*hRm?fIhPLM;3T%zjrSe6;~KEf zRHhW)@|0#UG)qct*`^j-Z+mw~SC89#HtO+6N12hSx$EM|vkUh7JjyjWw>UmM+AatZ z%5I;`A&`fJa7sCHl~at4&e4L9h%N9wR zwPJ*?^?Y%;CLq;tU_jH_8BeO>j6!aHap}(dl8_OoDhQX7ovlpkn<^Pxj%8G_b(hDW zcJ_RQmFDKy!3tZx>JYaJrhXnHBHk#g>NDX93YQ8C9Rcp;j--PPb88&W@|+D)eTKI{n&Et9YS* z)Hb$6P?rsYN}*#?L@Jmm_;a)+aDo>>4P;bEu_(0 z&dmFLUWeBu&Nn>4lWU+MVp7N}c}$++_8<~01T*6PSf!E=H#tZ!#fmogd6_QIM?T_& zFbb6798ukwjeA4b=7b`C&^X}=dHrY(L6W=aIuwR|XZrj;u!;!&#KQ7konfdxI7ZX(^v{V>F43Apl z3Bgb(cn2VUDkut$T40k%SS^(ZzE}!MHOY2-XW8e#&e{gfcr~|X4wfY?Gz)~@#Y{XB z2*r$zVn`8nFx6n+7c9il+F@;$LCtzFAomX|^i)q`ntRg7?CAkLaD+lZG&mNaauMis z13*5;iJ%n+tL!G0X5`jZ`E+PGj;X6VJ|Zm%>Y-~m*wxWzyNW9b;o!x3g9As!VhTn? zIJ~Te=m}jXr2qFlUjJkqBX6>0HO100UbZ`nT9rne;pI^-ouarlGsDWvLd(z)Q+qf= zLzEE4*Acdln3Wktk#r{y2h)y;HSP5 zCeF_%U6#st$WS?Uq0N@IDF_SU?8YX-8GJHEUn1^6^l9E)+w|k#9t#t~38Qv^6wVM3 z;y{vTQf3)OVTjU_OCXh))JL&6zoX_weZI@eh!Q@;6LAd7ptK#F2)Bj>LF9z#SfCd@ z)iZMDN4mX-LeV2N*s5n}PNT}!I5^PW0m=OH7cH*n{ZJqfi^ZUcg28dZ2t3>@D*(n0 ztdg2S*z<%@MfyYXF}S}oD+3T@A(jb8C-J}FQ=OSXzD`%T(6j(wc(JL`?(>+u@g-Ec z*U@d-+1}12TbpB*8IEkDYvE-lU?D>oV% zbqp<9OxjdE3kMdWbG5QzjP4f>HX?XC`PTLdh5hZF+}i3q*3&$GECm>5!o9M!5mhY2 zYPG{N+0ke3ws&8iMii5tmUhG>K5`;!68O=O29y=`nJCUQjx@;|U~A&OnYxE~=nJDT zqiJ`$q!cGltFf6<0j=R^0k6u?w6yO_sr3uIM|rN%HZU{PXoHUp1ky1+NCDDbzIQw! zk`XYrBa-Sf!8#yNU4#JD77nVc0{U?X(x>TI?DlRa z(+Ko+8JmND?CH;uh{&u0PRykN&G95;V^QM9l*Rq~W}=I$76W$45g2IExzqOu8I<#;GU$fhQaC5J9J1Z}4PP^z@!p>5a+W|tWFP2RBJLVJ%Qz@3~ z@O5dK-;F0T%Zd0%zt(4Jk}gNn5ykFCj2`1i@UCMc+ZtXeIQqlPb0oL-B@;1^Dec1o zDqNu%E#Dw|vu>%dd9XSY=w(Ezyy39gxgNinR5Mr{p&KT8epoO?03Q+b2#g#shTy3i z3#isEQ#^oe+`f);*EI;sJgfUQ(UQ6<2vvT64i}v4O-&1s{|inG^vrZ|{TyiFulD&y z_`r_|j3FNB@+l0LQY?6~;t3d0>P2z4uifbcgov8MT_p&I8j0c1AjCdR5gdJ8Nl8{H zAg&g@ZI=9wWpB+;38A3^J!Ta8%Wvz4)>bSzAMYI(1O-F+etBtmDV{{HFX0D-hC?I$ zHB+gnVqzguTx;Fm4TpF3@rI(sq~A-dttBzQ7DHxl=|Wl`w7ampf-Zw;B#<__93CfT z^rLLO%jUfF<;UYPv@!RtPmmR8NC980 zAmQ;dYc=Cfdd*GG?|G53&)L^RA`bK-`UH-cX_;aAiE(}P*N$|`6stVG2&RDmVhR<- zUvF*wBDF*=PNFg~J?Zg)gZC$Tnq{m>o--`5HMW@0F!m;sKA&G$C_$-fJMZ5rW-yRH z?_XJO%oNxC>%0_Nol_X}B|{tLBPe+{pNLK`l6v|B6c_!AL@?oZ^tT-|g<6pu=C?5q z>}r#HUMu}loKXvfnN0aI^}R8712jt-#Bgs^5@b1V1?7zIL& zgsMJ+LN~k;+>#ezBBU-tp@|Oco4ETRBYW|zb~v;q20fx{Uz&r`e%w&VAfiEx z)qVjW+Mx0iCKZuJ49s+$@4DJNfczf4#Gs1I91iOUs%2=tOeW{(6g6`Od+Ox6e6E`Ngk(_lqSVLCn$LY-l`6l&y9K1CtzWZBkp)%4=|in`_we zMeqsv23wDjYN1xBQjmpM@3aC!=KzN>(EUT72#aCkdq>!3#ssu997Q zwC=&h0i<|rZO_oIO8b*d>=6%hi!{uB9RG+pHVE)x4sXeT`#x&8y}j5A1%`tQ=gue= zHVw^q(RcH2uFsCdGAk?n%9dg|7nz~WVySN213ClaQppj^)fItIFvPOy^78T$hT?$Y z>aTzI$3K4lYan5Ki1Ij##?}+g7U4b2H*jY47psU16oOFoAcP7;q-HT*iSx(hS3j42IAAk_M-uT_;&o7XM01+jUp#`7S?M9({XE(n-@6f$r zE7u>|%EK4s$qRmI(y-KDee~@+6@~yYA^6cD|LXH+&z?QuG-=!)ahTgIhQ?!gST1%i z*vLca70P3D#j!@7@R~e+Ml%pgAcCDt2|^4=eP&}65s3#*jtQ3^!!#sdh7SW`Wkut- zaO;=yh+keCz$dJP6SP`gK@7=x5MJEx(VU(U zXGpEE$kLKG&W5j1d)-=_6@;ZIvf`B|dW|nudN2qvV<(T^g&JsmZWUlGofP5_-|ayWGE z)=Oeb*?+*?vim$nVWEHo!4X_fL6jpfvhqm-#1cO9r6|X4JRX{SwtDgYa=2pEAOhuES)Q*wP}Gmdyh3rf}WMRS|BS$*_IMa3;wEvWxMSZ(s z3aTO^tvd?B6O!Mbyh5R1EZ2_-hVpsMIXh5Z(NrXCGhID0aTz8ZEf$b#rgU0;h-urRExR@ll+G#njAvI$G25}Hy0 zkt>U|sF?jA4WGP>DV7LE9Q(CVZbP*_HPq@lmk?Ct8O-LcuO-orNXKj~mM*+m?mHwM z7dz_p+B<^m2}c20Y_5OEp%c&CUSAnE|K; zl_W^3!k5E=sUGE&lYOoK^uh~3Q1W}&(hKLXme$9q<#B>2vF73=JR_C^iQxiZoM}e1 z8t(0wppm3e1xP^E7&Hf&4I=fIBAngW8$?BSMq$Y3+=8KLXb>_4_DE(kZuONRl(wO4 zBDIP9*3mC{3BopbEa>eBh#HE1KT5TaNy7)%E=5?O4Y%1^42S;+L**!GiG$&?8I8sh zkz^Wn)PYX~q9_irp&^HIg#k2dq~r~I$OnmnS5Sl@(BV^dQ$m-BRuzeOwfq8ueE@JG z97O$;2$sUp`f3P|lS?>W2t%sfr$IwVfLwj4o7)4E8j4a)o=e*ohFS&(g^g|41M2C) zel>vX>C*5)oP%mkxcQ`w38Y;{W6Uhd!|n=-_ zQq~LN?yD9{=T4$*Mg8kusb@zvw_rzoNh7jC*imE?ApvkCH?5#-p2%c}mN7JcsPkx(6niW`qp$sCHhTI*!SD}cn z#WE*K7qq{C$uZSBY1$=25GqAhi> zY_UN10u+k#bZcqVNgwPrXc$I2bt2M~rYCRQ{3o%b-$CAOcL)t@cxc!Ge3@d*xVK_y z%NAXc{R}B6W)#6yY;70vnu+ARAHht(g1p`=V{0-b4ITnQS2#=-;thnqoqs=I9Px!B z+T)Q=D5P;uh35eQ`aT807S@nfB7!G;QU}LaFw!ng%)k?#Dqn{wqgCA~JYv`WFcIq& z51CmI!*;I0Oi#;1mY`T_?SPFPXS9v3K~1jCCcEmeshA%)*|c!_R5SWBc()oSdWj)2 zNu8+J6LtICK@aiUUGo~XhcwI;>==bQ@Z~q~(ytT{(i?V*ZH-6lRx1dBp>l}K5n1fJ zaT5W}H_tx1^&QXJi!|vtOoo961t0Ol zTojJscHFv(JnJmY=!s*G8XT$qq?fttN)f4MOY60fM8ObB7Z`Y?SiZoh>hH5!{(~aY zEb@&OBvn{DBaASuU97|)`yaY^`mF6@eHZqY@OBjz&ZwAXW(K+8f&poTJ?O~f*V4-) zdRdZ&40aSYEpsrxy$6!79{3HGWnRZRBBj#=EXf6{GN+m)z47?jH{U#a<2#TUi9!#g zRqbk&oT(vEgxr&*m|NRGX%wnq{=!y2%Q9gptr0@A3u>eZn9O)H5Hza1cZ6nC+?uBs z5E4P)1p?xG7aub>CGm#BY?l;9g?s^208mbj2C+uXmydl6xN`BY4B@?PNFl+uFi~tiQ0SQ;^hh z@lE016g%p(2?<%+29c!4z#4ZLp*P^_G&j2hKCLhg(F2w@m}HQ7G^reoNB-nt?~t>9 z9H~iDv_!iVa0dN}vnS=SNOiCGPv{pOQ>770s{A3!rRRA1t(_D2IvF`vFs=er8FoNT z3uWEKcp!LHs%}!kf%Grh{ufW$Y!LS(hODqolrdz%Bg2IsyoRVA$Z|f-cGD z2>Al+21-8y-*LFX!MH_wPa1yd>42i29hc+6JwWixxt0skBs?X=sd0s+k^Dn}X=P!i zR&iFsQn`wEiuoZT)0UQV=WmH3sZK>_MQ}4)h2rY!)@o{T(%k_BF>%4YnqItuy~Oao zqTxi37SWtJa~|RvJ)T%9yFS7in}(rzuc&-saT~Au>Op*~uv~fhprVCgSg?p<8ZVx? zxU!F3Sz?GiqZ>~E;nQ0^MhR%tK{idB6c#lD6>f`Ve82FkWKyf3;?`y+4Ggh@ zJb{zqcEqEaDaC_wj;iFGX}JpdIC#UgRAgm$#b;KXR%7m9Bpl8a%=vu|>2I{{=QXYE zS_qZg4>5!cY^gYH2Zr>9p8>;r-(gqXiZ_ui#>So!*3h6HYqJ;D<_}O3TKsA?ahQ(`$aIbLg!;II2VTyfwgN$;-RrT20`ZE1s6Xvb$^gphssd2v!RP=% zK;Xx|c^L5F8ARW7i1?k=jA+H3yCWjfx?_(VRCvjTTCXWReDF|QB4oD(MQS_;wdlrF zj&4d^6eg00o107SAV$9X*i$rfB}n&%R6G<2G0oN&35MPN`TVX_W;9c}bg*W0?QgfH z3d^mo{XAS@TU#_zzW-A7uuseOh7up8Tf`EU58m+RC$yw0CXJS92s;W@1o<8LvQSwwv|1D4wN$o;Mk6ZtF2xrK>IYfrf#!KY*sih=)rR{#iD5lkAWzrB=7F zZMRAM2%ttlIzYj%9n0#%Klt@V@DCL=Rz**rD!aiWPQ4!S^M-F(cPcjzPn19ega8pa z#+gA%#Z%u>)P{{uJnYMEg^s*FAOP) z*&cK$;q*L#qyUvnE^V%8RRP&Q1;v)-2>$v0!YmdTo*=%{-hvSUqSbQ&L2?PGYO#i$w;7c~%th>O9% zqsw65+?je2m_PAk?3iYIwB9-jn8dCy3Y+B2XDl?saGBC1$Z0dcW! zco^QWS0D_QSXiRrdD77CPg*x6y@&Q$!YE;l!jOe$rgSzy*rsI#3kxk32Yr|$fSn6E z3zf2Vln176GBMkkiO4)dEwuoqc-R6sUe7#cdGEGlIZC1FH}%7#X15Kl0ib&fj*dbz`c zic~K_4EHE?64jLw8e#wg?NwuHZ)3%*W!U;42EWq=YP95Brd-tjtbT5jAJ|F`5s=v3 zml2fSM2Y6{tuC-K`l?RD<~EVGY?EX}rpUv3VT~9jb~jc6>3M{sLPGI`fH0yMh=iT- zsD~ts`7u9^i|#pPL^pK+!N9nm6;MVn!0+n$K{a=&Th9`9f?o}Sf6|BNj6WSS6eUk3 zitHzzMY>23H5A)bHC*);HESxF{uX{=V1O-Oyh=jDfgWA8Qqj)KsrrEOyq5Cu$jm$bT? zVj&&j)_!qybs0HfI%&o46B2R?+sAGZ5RCZ)Aq1sqjEgTVuI7lK7|~TN2xSq*OKBOb zOAp+-dY*%`#P4i{_dB7(S2Ch?N5wJ66xjYu{B#WUvKw6EDJ|1rcr!Fq38LGn8pL#o zl3z%*W^yhH8ioQIto(@3UIHx&0Mf+e*j1VVjUp zI>{bY{={{S7?KU-@kyA`tr7*dG8jQ#6caj4of07+{2y!B7iqQ>153~;52z=D$AqHK zEpu0dGj&IXGnHExlIhpgRajJ&FP`PNBB*!{DBh9~wa=vb!{QP3s3tX@o*@m99%3K^ zBO2QI2%+J^kj3sb2L~qeyUUwqH9P}y7}XGxW=OfXCj61WvrQE`EebkS^t4q$C^U3v z-taT2btAnun{|~iLda05grHH%)MhErIec5o>q#u1Asog0uSP-{m{5}yX*A(6Q~?qS zf(S&n6a{Bh8BN4jI|k05J99>5e`huKSK<0joX|hkl@&)Ts%M8~O6m^pRFo|0aS>_t zaAJi`Ex|~)DET5T#Hi8@G1P)n-64X9i^(AJ`3dyP!t5n+@=YBXXOLR6?3Uc;Wj6fW+t8fI zMDRyuq<%D#nQzrwge3$q)9CZZQ?pp?P5Q!JT+HMC3j6RFZxRyvy&eu%jKfXnam=bl zK}q9L1P!tYs8`R7Z50SrnhgjIsFYfxJ)XF4WmDgf(S}&m&yrZ0-h}{AcB4?pp`BkO zi1LN)LivHXMP+A8G>n?Ypf-IE0gbdPtd6K@`=C%*Zw>G57xxbev0`2`qEcbkIp~R` zQYfvV>}hW9Aqg4EXd{liaD&6i0ZPL!Wir(WiVejY6iw*W!7~D&vY)3a*;o0LF5CTE zNkrgECWaq z#u(AS6Cxc{**uFevQ&vMQ~`MY9QzOA08br>pYEF)8jjUjJ5sspFO5iROQ$F5sz8*q zADUc4XIgY30>d#eri;oQqTDz$VB~~pJ9(&Bs4A8QWO;@GFHEUDvb=6xHb(MWd}W(U zwiNx|{&2p~xm$4chfz7rZK%Me#6_Dju2Obs)*$3e4f1>RobG8|Lnx>1@0yLiLKcSF znBVBc0pI@ef!**JPk zh-9F%kI8O6<&kZ8!}EPHSF{<;xok4CyIAsp{YLt!Y{A+e-ohkJvA@4}y9fwd_4rit zjLIRl*(#i&1T=0RN;KC#`{t>FaJrC1R9f7{A3VFU(jPA7wU|kldWt$CxW5cNbvK5> zt>I>6Mguwn;Q;|5XDZ_UxfCWNSHM9n862Oa7gQ9KL5i~{EAoeO;PUVClt#E~noZ@d zy^2T=#iw;ODkrts;#p$2a83$u?cB$hF7t4C+(Ao98p0oH5SH8_u5dZA>NOCUkL2?X zV+DltRI)j}c(6$bjS52TBw7hWA*BvrsYYXVBPhKwbq}dwPY?DV<_A9){ zSQUR(bsWlj5=SZ_G}NBis`%xG!$%Gp>JCk?mA~qH+@;@9adA!kth#Q)nYSU;9OgX) zr;2HS;is9^IY09Xj$Yc0MxBNl4_h$I)|(!&hlA<0RAS4eFf``o#gv+N0bT#p!Fs+h z(r?Bs1VX5%2HHdXbO75*B^u-vsCM4~4IjwCti{5X)fL^{>o+cKtmDt#%gd+${*u6o zLeLYz8!llQ@roJkcS$T$<{-Cj{DR~7@~R-Xsv*c~8sktpK?UHcvIVVJM5?}UUL}NA z5o*@RlGMbj4bL0M{|h3V3TrBf;>DpxOfE7>)G?fut;way=u9tp2+4?&C6!E%7-E2; z&u?`#_xb4#MHtb#TlA~e#r7V)pDe5|7PeP+3dyiQ*rwIW+S(M5YCV9wY}Q%W3fqWE z>5Z4~vDV#Vw=W%RVweRiG;bH9{bV6)Kzzf*_jeqE;9_Dq;c-KvF^aMqQ$j6{iNu%? z0zxdeaBG4jR0u9FX>Je$z04#yMRD?URqgZN>DB(XN2JG(f1l8acv68lG)N2;5688z zG&Px?5ey-~l?+1jb!Ww}q?hr!RtoIkUy+9B; z#fd=F>y100tR+3BK-mqZWkXP?IJdN_tY}7Y5F*`u9UYiulI5g|B;wogtNWJV^WQfj zeO_o&N-&V@Ul1O4RAaa}Y}aULR?bl4p%_y@Xu+X-vw0?(h;44U%<RxieR#}Ra?w&Rdmyf*UeRr1T>)G)U^lSJVjN{K2^YxHplKZ{zNNr+uJer z%Vs@-(ZF^w;fpL~5?+YI`F+M7QQN_^VU-z8#^w9**%aiAB_CW=2=ZR%EmBYmLu)FZ ze|m`W|3hF}0rDtL}-##31K?!vkXSV0} zcd*&1Fzn55;3Zxy%x~`-`)840Jjte?GOGh`CW&!-QeDpXaT$d@#nr`qG*%1T>d2Oea=#4hGPY zKqOj@L;surwBhJqZ1@wleCw+95KASs3Kfj<4t_;>r#dof&>ga3qSWH4w{Ye>F+^B; zX;S0i>@;W?mN9ln1XM<)avl;(m~Q`w**0KGY^@gZn$9d?T04lF&Do8SJs8xf!g_yx zL+jHTwT0YPvshIP#x7Z1^^UL!=yM>wM^O6sn=g7{N%wYrzTu6mX+I~O5ExRG5HgYp zMe_TZRLmX4{$>=?u~;X>Y(+$8AlNqv@DzfJsZAA(N-Uaoy4&072Froyi4%1-q2Kcb z)xM>&cGUH)x)Mkg>BXVV(V8Tru7qWU`d7vOSb^ac4uMO4h)WJShUvge4_SyN0%|nG zu(i2tOEEw(V2WFfwt>Lv-b&J{MhZ!m;X>XxQiS;{#LVjl^JWdg{%EdP%%YvKS}YV( zt^K)`aI*rkwKcVWaDbAW?;s0HdTn>((X%Hng^l)XA?3?$B%}FaW-h;CEN-vHReyM`(8nE7?NMI9J%o>=Y8=?cIJY$Z2(KYH1NP|Rc{4^@)i6%53!VcSe#KDH9$YDzrD-`JkXWkDDF zVt!}MYBr`;R+4~l{9wh1il;TV;WFDdc8q&v2r)&>ih$7x79us=EnGuh@e*R;?&Zyd z&*6%iV@WGk(5zOWV1f<7*eX(bd%y!@-UBm=;R_#@%|aRrWsRP$5Q;1yq0T|16H=17 zdR{h@{sIL5tQu+6k%Q`~;3{8uT&KUHI#Z=HTvt)G;q2*&dZn3xn8wB_ep5hC@n@ZG z-tr&~bqvdKNSnfNnmlYarDB`&Ro-arIz%dmA11y&@sh znjGRSjcW(~rGp)$q{F*~scWA-dl=*m72dJqEh7}QeTspdBiR*S#Gjdm6-A55=i+;e zg&M2;$B0Hk4E$=bjF50Oqm<@Y7KIfZx_DAo)YjS$)zH-T{TdpodVW>juih=W2UgRae(I1!Om{s2J;HEsMGhNPMuUcQNYlxW4N?vGA&%4&@t3( zDZwi_MB9vgm^=()3NXIA9F?6*vtut??#b$0%x{2-!v`zKIqde0J%pQPqgJxs+s1!N z9jpcpa*o-9-QB{?8!tb5cDJ1na`~P6VlJ0|BV*+zHMA6S%gbIY9EX@r;3N$9T&!VP zJRQ-387-Dk;iw8mfgrc6d6u9_Q*Ej~v-G@x^7&2Px^E9+YjTfj!M4hn^N4h^;ZVTZ zQ1hEqXsUF;uHufk&O?ZvID?=e^f8c5%ld?Z(6Atxo#J61Ff`jHOv#n`Os8OI&lg7& zdV;80rnT=9!s)M877wzK>{mH^ao4P`x9x443E`F#5bhi#0O8H4$IrfS(~$ZoKf$Fx zt2Mjf=S)S!n_A8Yg8l%lD1;Fp4T#Tj!t5HUBH<)RxVW?`j&PB8U`6qVm(FwqPyDHg zcf<3u_G8DNYR+!e)oQT)d8N1K$Yzwc_2K+_OFUd$bULxqB-%7GaD*0q7zmu>iB))YE9-0zA z;*yY3%{UDVTd-eA47J>1+-;&xl){ki5N6fJ_wZ1&-a`}&L$0=PZz8cCn;)^x7S`3~ zG$Kh?R926;lf6^G&nLfHbD4dUd;2azNE^$|{_Q=x%f9+m3K8i}!4C+>XJ5JT^w|TP zKM@v!hbC&LB{o(fF;upbo~YX=kqocF;19P#&5tDXNh|}g%w$|}WGo}2PK!KLfWl~S z=6p-z#j_lb)ix4^`wxD|F7e~mfes(dVAxP2Vz96h9(}`21{oGOktFG#0 zI_9)_ZQHP+;ix8J)&JShaBTVQKO!zY$(x73`$r{`kUaF@|DKfkrJA47NugKCbN5$6*k{tOV!N3CmLCGf-TjS+!R3@o0N zg5PRFdvWXlS0@l~ZcOn|?UQGZ6bt1`gf=v`v$Kku=Lki;P{-z&au9D07pHMBKsutt z`9fYO;i(=IG9z{fB^G6SsRx7F)I+bYum2wyidK5YhND7~QqinRFjx;vb-P*}`ZQGC zgKB6fDWBl*1!SVAKt%0o@(|}$&L~sL%-)8RVaC=MWlFXs9F~bu!7wlvcet8^_SyAf zY8m2z01*UZBx$vZKuL7`AZN91Z$Ker_8{x9M)$T6guuY!nJeTR!yCJR@T+wQKf{pT zT)gwjAD%tEtShzoBcgw~n8{^)ZZ{74_(SNQKms59Hp_ft*sOF;Vk)FriBg(3p z9v?7lq3{WZgk_or-R&V87lu$uX?}5tL~MQ$gI=djE}(579+4P2=Mo6)!$w?_!SE;N z;q#qVpuG!(GU8`u@E`q=teKke){R1r{DZ;-|yw^qI7&0Aqsj+flw6E+i`EysP5Xi zTs*UeVXCmzCnatlqSBDZ+es3_jAk@HIPL5XQt}6t(bE;{oqtL!S}kBv_q?d{NNN1T z5$WN9{D$)QQ$yu2R9#K5qi6heHE~htzp4~p@o+|Lsf>9KxA!d!%``*I#XuiO?irh9 z-tzPyf2`V2;R*L}BH1~DIevd))4!G6R+@ApYa3+Rh}_7;H%JVUq9cNw2B7wXh$ymg zT4|C;-9G)~U!N6M(p+ds`&ZUd%gZqjDHu!nTt-DfmrG>AU`9o@9RnA}Xs0!VbwVNt z5~}6|h0}sPGZMnM5RMT*H{HZn~tvlw(LERCeC6!>-Rqc`1 zmg=e#kA`Xp8#EfCkKd&6P^A{*fxf<$GtG?`o7+w*3;~;k5^^U_+h|wANHtoUanvX< zm+)GRVRINwH}S%ut#pgr7e7*Z;Q|WAE0# zIKPG=8R#>IJn>k_#l0(0HEvU4Hepddf%XqhH(6a?e1){Hh9DNFDv5Jh9gEkPN)MkXK{Dz>P$zUhT&weujj&o;nc;}M%d4~(=+Uzx1BwO z-+yWdgBb)-U51NJ&&|Ul8YiNG<-}Ti+3Vfgi9{+P^zJ8XaEl0ARkt?1y{;NWfH0H# z^mEYApTJoeY+(aI2&{pE6H4+4kuDG%qVB$HWJLZHV;I!~-$>Ysyq;!MyJZ9pLh-+4 zs6qnvXvvVe;}2y0IT7ihf?LD?(A-5`zCe12L2sUsRVn^(&~Cf1&;$%$1P$v>H`9DJ zpRK0=9AeZ7(M{~10EqWN#6-mELc%tTM1K>SPzt5kn);YIh(*ee&zp}6dWwVT^zJSO zCJ5ms)>uCMFjc*lczgM>@knL2y=f z=tTlH*xQA4LPzk#zcsu2%k~Q!sul8&kD3n0tlt`uR@d$7G*LyiEmT-a3o$6v313dBB)n5dl=KIuFkOQ01z}$Q?goPS&G@Z!gcb4M}Ga~C*1ypW7 zQrcRkeFS~t{|5;Vc|Lyi^m+IU&wSGH8rK84_Q39xe*x& zW2GY8*%|Id_=5{fORBrXq3v+9twm4i>rd1j`wBJG9p8(uYdAL8{F4IH@@#QM1X=z1 z*H!nN%Koteox0fEov;xfOeN%dFK90;D`-y?A)y>2z4$^sd6Y2!Z_D)GjnGgVVQr z|6hC8^V3$6Zp+yC+Bg_+Lomc+jPs&&Kt{-7F~Zmj?6!L4?UPuTB@+Ka0I#x)P_u-{iZtrz?cQQ~)^Glncg|OJ@2$E&Y$r|VnR!#DF&NvS@8PTZex7rG`}VIG z2mJY$@7~{CVK;A+3ZdJU!ZYjk%*bd2;fvA;Aq27xg7H$TRsw>Z8&*4c4o?5fU6eLh z2oSW-rD#1a?wG2W3t?6Ll9cRK(sMm)%GdT$5=KNVm&baYa@e7jlOuJ@kmfw(aR{oD z-8!!tbeEOH4O?QjN5LT$aeMbNhPW<;rTH*bhpMU)2*Pp*bI+WUj0$?o!uvXDT zM2P5H!V!IjMEB@xY^0?+5FBt+(hN@U97JN&x4{rX%gcx~{iU{}xjkfQiPOZW#8Z)p z;CKPo3nwnDDH>~*CNaBi&0U1~cwemhIpQs1xTQH2FltyVHnKUv5c}tZW16EvUJMbN zDRR~yaMNrEL(wo2EX%qbIMj$-W-*-E|z10#e|MOqn8;FU1 z{0ZY4XQEO!CV*!(A$^yGIf{dtPl`17CqNM57Sdt7UD+-5x)%eXwUWUJ4Di->Cu=^3 zFS<;u$%m*FCY5%aEAxpZUvEaqH`xh|H6bp-0G5*T7Pk~JGwqN*4Y}dbidcN!SW#v# z%{-wJIReCG*x~Xw4M@FX;gdGRF+seCP7-NO`&+l@+kO8L!zq6;YC3<_NE!&Qy5GO& zql33UeE30 zW;MoxYipu1m|tFwNb{ukT6<~Vdr6^zO7ciQhrsK1cC^_HR5>5RrGwp9)Uj-9x71+x zVk0X`CojMs%ma~s**QcPm6lI;t!oH46W=h_$E?Ku`QEs5|L*SBAAbAg9&~AU-M_IW z+r7H^`<-t3{PE-6J&^nO;}0ktcbZ#Jio{eEp^cyRrJqvl4GoeMXu(nx$Dxt*`c6bSD zj~DQ1RJKu;jbf!FE!@~lh5YUL`L+)tTTjVpN}B7}Z*R`FM|;9>id@|J7@gR!Kf>Z5 z{rdig_dmTu9T(V5hvN~cQmB*x3G5#5o3@+dZF0eB0IQULJeR`P*Ln|SRcl=%xL&GX zc6(hAq6;Ax5ZpH-yx)Y*sJ*>K+!^#*T zZAobAH5n;Nfd&xcfY>7@6;f(P(r^)3#qeRG_&^G9f%}PF`3o^ zJMp$8 zP%n8zba8h^dG3_21)+6zx~`RqKc?nFs2ub4k3-nu>gFyv+qQZdL+Iia%aa|oyjsl2 z^9}{G%ErzLUy(02C<`BQre@NI-}x50cgWzpy#iqjS|_O8 zjfR0Onjg4g#QsbwO=7<)o4G4Y1p&aJXuF)8RKT5qlMu{({b~1%2;Sa(1C_g| zKl&2!U%Z6y(B)oER-2gDnV8;$I5Q>cEjmWE$o!kpC)M;O7-4!Pp#`h>gWl7xL?G9rT4lZGIm~H<@|3*=|mX z&sR%(V?mGb4TbSW%gV^Ap75sC31ka}fCz4w2578vOt{e)gPa5zc^|<)i4BIH%;N2a zpP6S%Nw7tl5S@cJ)|ocf_ndKfC$OOA0!{@qd1K_B;i1_}`>WX}OPO5xSzi8D^Veer zgaA>9=d#5@snW8ST=y1Y0_x87rd@v_lwdV*%Bn5{3h2pqsL_e0Hl(uod<|c?#K5Z> zK&%$^4A|1z*xkZJ_6-rdC4yTLO_+$@A0SL9oU6IHwS;T;X&z|;L%#A-nh+E6d5JhF zxAQUH+Zf0Mi%TO--f&CzrMc8#ILQ_!d6j>bm8UNse&D4hh$Mh47tt!by={Xi{cKdA z5k+WHpMxQdOocsBiQs)(`h8pCeV)^QY1Lc+wMY;2maxwFsS4fZb#{b6IP4|aMsWrT zHS8sOwhe;pw$uHF8RZt{yu}-Fl^1m=l1H4Br{X2q#Y7Ii$U>-RCbh~Q0tpwP*zQkEx>Oa4ME2%kb#5feG^Y_BBD0R&Hq zyT57fjC&WjJ~=bDR%W06b-(|Wzn3D$-`^{j8%1DO$m?41lQFL@O>rH<5+&dKYJ#C& zY!{TYX^S_|EcWS{Xl)@uPOz-iYPIP8ISeo~g0;hoY6VHr3W>u?8~boYr>C-uBAEEI zblsCrCP2_8p!8xvg>w2YW@%_yU4Q9!X+NErO?l|-Opv6Jq6H<{RvRch_5Z`ia6nEd zI5p3fRlZQxm#2IVkvYo90jE)EJC2~cSaauxmfsS)!~Ix4x#}Z03=q^H%Kpj!$h24? z%LO*lcDEyr%)lV{C+1{0`(h}$SRH#n;+N0P&MfXtd9#a?YT?A7@O*2x6gB)hF%%kM zVu-rM{V=x#{N1qw0w^L_tx|^E-jHX*Jo77@#!{fjepP zhYo&$^_lx%Ra?Q_>8R8s+bDjYuE-2t$~jn{tgSwIZrChff|-Xr2i2T;7?o1_wd%7< zMTyp|WSafwU^8AMo`nuMSTs9h9`Lu);^C%f>iJdt)6+|&!TN{g3B8)nO&{>QYwgMNL}L|JxJ;Y`ME=v&xTZ&0q-p_)KZ&*5+%#GiTuNL+HquQ?RNr zWb%$0lEV(zW08vMb~S)(_yvNKRgK`o_@e4zJyJ*4KBYqFCfHQMAco`0+6gw>3jO-O zW`qU@E%^2vJG{N!La^9hDo)UUv0QEt#O%(_(g=dpRRf^~U#+P>$smRPih8~P5JuSa z0VH-G1U}yaHF_t*>IK};3o%5Uy+hffGvo-&&6Noz*mS>l&AEx9AJHr49Q5W8IJwE{ zl&p)FV!!j8*av1}^A`4Sb+S~LX`~_QDMJgNRey@u?zmJ~Ej6;s`NPuEPI;+>Ho!5Y z=j?+{ATy}x6A|a7?4PoMy0PETIRbtAyO3QJ&5F3M>UtLBn1=1a&7jMe{!|mh_FrAI zz$*x@h$EAE_#I4r*75n}#---3Tu$o0V2C;-cWK{OMxbifDFnuj_n#FS?C#D^N?^XP zX~prAraAg}3<`SOLIts=eB#;1Ll9q!+c~u2zoFyARGCey8tL*2x-&QpYY;3SP6yBk znVyd{h+ahe zXk3FfVHG*?!4+Davu$n%C!vHVm1RRF=buL5@^n$x7#U*Ki*h4R2f;Zr3rU{~B+d(iGUrGtul6$f( zzF1GC4GVrwvFQ&^@96@tka_P~!U$SDZ$K4s%u2I9flzI`s-dF4*_886u&UYEg==UX zfYx3b2J^-OG1rS5ztXWq=Li5^FuLLF;1vwtf%y8uO8UH*i95f7-x86)|X^5BYc2k2$N2O}e0eCe7T&-yUv|*Iz;h>Ab zH#ANt!J=}{1w7BTHbGIy9#RKwFqMFCa49tDQkl?7S;Enr`Ghmjo5w1;Kz3$Ej&v@K z-aX3%!{RG=^_(d%h)Z*R(ftb`r$u!SQF=p1G@@7@x)2 zI?cvP3&gl5a5Fc4@R@Dwp;O7K4F)2b49VSk;K%4q^dHIsE#;R#a%FUzJ{8y3z7;#v zx@*J`Af5um;no-=Z51iXo*58XZLe0No2LL}zBqBP(^ytz10`ZZIrs2ilOH@w7>!=6jG5MEnBX<3bdNOfnM`jf`t*t6 ztFM9s@m4^5J$Q-HhxYM^f*-YDH#jNC6@@)V@q`j`hxYWH}t0hTP zAHgQg4}qpMZq(YB7(nctu|ZKHL5L3ar93Y^GTGo1e2nbzCnsr=W-2_DBE;>b&!fh< z_UuxB;#9D0?mnNwa~k5euXL0TL!2Jz7!e?zUiM%ey&iL(4iU{mFKB6AppLRtag4mqhid4 zvsngHsPU5H$W*=aRLaAcN2(T0*s0mohgltLUK(Mo#mLS9(kH9Ha8H^s80H^|bNZSf zBE%3|Y*tDHQ7o}~fe$1)Plhq0s|su_yU$5JVfXw{`%wMBvP5eqaaA@`2sDi|Ms`imX(2LXym3zEe z=SvbSB za%mZoGoG;yHZ`m6m7M#rJX7t~ywE6$7-^qlxf(^Di-IG71nC{@W`kyhU6BSi5*kx| z14;Xa(YY7i+WtN@4f;>7udmPdx5$Ec339xi;5XWPRo{JfpreRDw>98MpVea@^$`== z%)C?<5;u{Rq&7LHkxl(0q)4NhvO3P!XCl_x+Jwg&sl-UCu><|gtmx?>)4U_H5ROeT}k`7z=^8Xqa!wm1s)6bImL<6yN=z~sD9p8sR0 zVP}Psvj)w=l5fO`R1OuJnPclkpG^coni3OajSoyK_enNSkBU=byQx!Ur%U5=z0s7b@{+_7qLalT znVuIJJXWch6%}(^9admBGiZCH)*Pz+FJuCd5>X>9b4OjB&_%5SMeL}@sOHm66-Ra2 z<<1J0*TLXu%JENlsU?wR){C1c%@Z1un(LBe!Q#z`MonXPcN4%%LC{j32M0+`#l*+F zWY5DxEu_*j(i!6qgo?V6iQq=aB_3cmcp*i)~Ua0!atEg03 zZ8pOGNlYwo$0%>dB*EcBauC^E9N>xouQw8rnjajP=R(Y0kfJTq(k4=8%WRT{2|{;K^gQ z(LmoOl1Sv{ifx>U3QlT{2N}aP$t6{Z4gX#mgepBv7G5pik=O2H1<=mip7LkjJ zkdP>E_REqcND~;H=60~DN9ZGcDDN}`((I{ay{#^xPh*0EtUe-=d;JPOu*Y(n1@VHv zs9Ca$)!5wJJP@-ZbX@XI_U^fC3^1quIhQw!fjybIE1DViytG=27kxJ`+W#NTwmE-W zzQnV(M&siE$RfSW)q^z}7B!xp8996T9+1IJIl#>aP9tZ)%WC7Z;LF&myIxXKETJFC z<@HEnyol!6yriFbi?%=6CG_a;7*Dr&i2x^hq+SZcZS;l8i@duxkFhL7ae3KtaaPO$ zS==cW;jR|US}M4!Sa57EYu1WJ&yU`N{WFuA2>#OXpEq-O)0;^+`#>J4`tr?GnGi)I zF{^RR3X4MVMNtDPaG6cA?C+I6bm7V`+bfgFJgVH_m*~fjd88`Iok?mibc;=4WM^M| z_c8ZAa^=#W8y<^}EeeX*70dC(hqEDo0fu=Ozf=q}k^hlQ{P#=zrRP02?Po@IH0|x< z|3G->)(aEr!)`bb5rPdl*kbRT34S&E|0