{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Testing ICA-AROMA regression\n", "The [current fmriprep pipeline](https://github.com/poldracklab/fmriprep/tree/1.1.1) extracts confounds (csf, white matter, global signal, etc) from the non-denoised bold series, whereas in [Pruim et al. (2015)](https://www.sciencedirect.com/science/article/pii/S1053811915001822?via%3Dihub), ICA-AROMA is applied after spatial smoothing, but before any additional nuisance regression. Directly from the paper, the authors say:\n", "> Within the typical fMRI participant-level preprocessing stream ICA-AROMA is applied after spatial smoothing but prior to high-pass filtering and further nuisance regression\n", "\n", "However, it is unknown whether choosing the nuisance regressors before or after denoising with ICA-AROMA has a detriment on outcome measures.\n", "\n", "The first test will mirror [Hallquist's The Nuisance of Nuisance Regression](https://www.ncbi.nlm.nih.gov/pubmed/23747457) where I will replicate the simulation signal they used and test the impact of an additional nuisance (I'll call it csf) when it is cleaned (e.g. derived from the denoised bold series) or unclean (derived from the raw bold series)\n", "\n", "* Please see the [pull request](https://github.com/poldracklab/fmriprep/pull/959), [issue 817](https://github.com/poldracklab/fmriprep/issues/817), and [issue 1049](https://github.com/poldracklab/fmriprep/issues/1049) associated with this topic for more information." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "plt.style.use('ggplot')\n", "plt.rcParams['figure.figsize'] = [15, 5]\n", "import seaborn as sns\n", "from scipy.signal import periodogram" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# number of timepoints\n", "tp = 200\n", "# create array that contains 200 elements\n", "ix = np.arange(tp)\n", " \n", "# 0.2 hz\n", "signal1 = np.sin(2*np.pi*ix*(4/tp))\n", "# 0.035 hz\n", "signal2 = np.sin(2*np.pi*ix*(7/tp))\n", "# .11 hz (to be pulled out by ica-aroma)\n", "motion1 = np.cos(2*np.pi*ix*(22/tp))\n", "# .25 hz (to be pulled out by ica-aroma)\n", "motion2 = np.cos(2*np.pi*ix*(50/tp))\n", "\n", "# create totals for the signals and the noise\n", "signal_total = signal1 + signal2\n", "motion_total = motion1 + motion2\n", "\n", "# make the csf signal share variance with one of the noise components\n", "csf = (np.cos(2*np.pi*ix*(60/tp)) + motion1) / 2\n", "\n", "# the simulated bold timecourse\n", "bold = signal_total + motion_total + csf" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,0,'Time (Seconds)')" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(signal_total)\n", "plt.title('Ground Truth')\n", "plt.ylabel('Signal Intensity (AU)')\n", "plt.xlabel('Time (Seconds)')" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,0,'Time (Seconds)')" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(bold)\n", "plt.title('Simulated BOLD')\n", "plt.ylabel('Signal Intensity (AU)')\n", "plt.xlabel('Time (Seconds)')" ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# non-aggresive denoising\n", "\n", "# Create a Melodic design matrix, where we model the intercept, the two signal components\n", "# and the two noise components\n", "design = np.ones((tp, 5))\n", "design[:, 1] = signal1\n", "design[:, 2] = signal2\n", "design[:, 3] = motion1\n", "design[:, 4] = motion2\n", "\n", "\n", "unmixMatrix = np.linalg.pinv(design)\n", "maps = np.dot(unmixMatrix, bold)\n", "\n", "# only select the noise maps\n", "noisemap = maps[3:]\n", "\n", "# calculate the residual\n", "nonagg_residual = np.dot(np.stack((motion1, motion2), axis=1), noisemap)\n", "\n", "# denoise the bold\n", "bold_denoised = bold - nonagg_residual" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,0,'Time (Seconds)')" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(bold_denoised)\n", "plt.title('denoised BOLD')\n", "plt.ylabel('Signal Intensity (AU)')\n", "plt.xlabel('Time (Seconds)')" ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# apply the same regression to the csf component\n", "# same as extracting csf after nonaggressive denoising\n", "csf_clean = csf - nonagg_residual\n", "\n", "# make design matrices for \"cleaned\" csf and non-cleaned csf\n", "csf_clean_design = np.stack((np.ones(tp), csf_clean), axis=1)\n", "\n", "csf_clean_residual = np.dot(csf_clean_design, np.dot(np.linalg.pinv(csf_clean_design), bold_denoised))\n", "# remove the csf clean residual\n", "bold_denoised_nuisance = bold_denoised - csf_clean_residual" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,0,'Time (Seconds)')" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(bold_denoised_nuisance)\n", "plt.title('denoised->nuisance BOLD')\n", "plt.ylabel('Signal Intensity (AU)')\n", "plt.xlabel('Time (Seconds)')" ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# raw csf design\n", "csf_raw_design = np.stack((np.ones(tp), csf), axis=1)\n", "\n", "csf_residual = np.dot(csf_raw_design, np.dot(np.linalg.pinv(csf_raw_design), bold_denoised))\n", "\n", "# remove the csf_tot uncleaned residual\n", "bold_nuisance_denoised = bold_denoised - csf_residual" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,0,'Time (Seconds)')" ] }, "execution_count": 61, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(bold_nuisance_denoised)\n", "plt.title('nuisance->denoised BOLD')\n", "plt.ylabel('Signal Intensity (AU)')\n", "plt.xlabel('Time (Seconds)')" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# compare correlations\n", "denoised_nuisance_ground_truth_correlation = np.corrcoef(signal_total, bold_denoised_nuisance)\n", "nuisance_denoised_ground_truth_correlation = np.corrcoef(signal_total, bold_nuisance_denoised)\n", "plt.figure(1)\n", "\n", "plt.subplot(211)\n", "sns.heatmap(denoised_nuisance_ground_truth_correlation, annot=True)\n", "plt.title('denoised->nuisance correlation with ground truth')\n", "\n", "plt.subplot(212)\n", "sns.heatmap(nuisance_denoised_ground_truth_correlation, annot=True)\n", "plt.title('nuisance->denoised correlation with ground truth')\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'Frequency Power')" ] }, "execution_count": 63, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# compare periodograms\n", "frequencies, ground_truth_density = periodogram(signal_total)\n", "plt.semilogy(frequencies, ground_truth_density)\n", "plt.ylim([1e-31, 1e3])\n", "plt.xlabel('Frequency Range (Hz)')\n", "plt.ylabel('Frequency Power')" ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [ { "data": { "image/png": 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xZH1c4+9u3Lgxrq/JGBguTGCQzZAhQ5CXl4dXX30Vw4YNMx/fuHEjgPa7XQMGDMC7776Lq6+++qjfp7i4GP3798f69etx4YUXmo//9a9/xXHHHZf0InjEiBEYMWIErr/+esycORO/+tWvcM0112DUqFF49NFHUVxcjN69ezv+7vDhw/HYY4+hra0N0WgUQHthUKvevXs7/n5TUxNWr16N5cuX4w9/+AP69euHadOmYfHixTjhhBOO5mNA7969sXPnTttjxp3LZI455hhMnz4d06dPxwUXXIBvfOMbWLp0KbZt24bdu3dj4cKFGDp0KID2feelE291xhlnoL6+Hq+99prjKAwvnzURpV/v3r3xt7/9zfaYlxhSVlaGb3zjG/jGN76B6dOn46yzzkJ1dTX69u2L6upqrF69Gueddx6A9qJqxh01r0aOHAkAeOmll2zF4wyjRo3C3r17cfjwYYwYMSLhtnU1Fg8fPhxAexz8whe+AABobm5GVVWVGSOHDx+OgoICvP/++7jgggs6tZ1WQ4YMQX5+PtavX2++L9B+XrP+HEvTNIwePRqjR4/GzTffjMmTJ2PZsmW46KKLMGrUKPz6179Gv3790K1bN8ffHz58OF599VXbY7E/E1E4DBs2DAUFBXjxxRdx8sknO74mWcxJpeHDh2P9+vW2x9avXw9N02zXGLES9XHPOOMMAMBHH32U8rZSZmECg2y6d++OmTNnYsGCBaisrMRJJ52Ehx9+GO+8847ZkVy4cCGuvPJK9OzZE1OmTEFubi62bNmCF154oVOVgG+66SbccMMNOOGEEzBu3DisW7cO999/P5YsWeL4+u3bt+PBBx/ExRdfjAEDBmDnzp3YsGGD2VGeNm0afvGLX+DCCy/EwoULceKJJ+LTTz/FunXrMHToUEyZMgWzZs3Cz3/+c8yYMQM33ngjdu7ciR/84Aee2nvttdfid7/7HS699FKsW7cOZ511ludtTWTSpEmYNWsWnnzySYwcORJPP/00NmzYgJ49eyb8neuuuw4XXHABTjrpJBw+fBirVq3CgAEDUFRUhIEDByI/Px/33XcfbrjhBuzYsQPz58/vdGZ6woQJ+H//7//ha1/7Gn7+85/jlFNOwc6dO7FlyxZcddVVnj5rIkq/SZMm4a677sLixYtx/vnnY926dXjyySeT/s4PfvADnHHGGRg+fDgikQh++9vfokePHjj22GNRVFSEXr164cEHH8TgwYNRV1eH73//+wkvnhMZMmQIpk2bhmuvvRaHDx/GWWedhfr6emzcuBFz5szBhAkTMGnSJHzpS1/CXXfdhVNPPRV79uzBxo0bUVBQkDRB3plYPGTIEFxyySX43//9XzzwwAOorKzEnXfeiYaGBvM1PXr0wM0334ybb74ZAPCFL3wBra2teOutt/Cvf/0Ld911l6dtLiwsxHe+8x388Ic/RK9evXDaaafhqaeewvPPP48///nPjr+zceNGrF27Fueeey6OOeYYbNu2DW+++SauvPJKAO3x/uGHH8aUKVOwYMECDBgwAB9//DFeeOEFXHjhhRgzZgy++93v4rOf/Sx+8IMf4Nvf/jY2b96MRYsWeWozEWWXHj164IYbbsBtt92Gbt264Qtf+AIOHTqE1atX46abbnKNOan0ve99DyNHjsT111+PGTNmYMeOHZg9ezamTZtmTm+OlayPW1xcjCuuuAJXX3017r77bpx11lk4ePAgXn/9dezevRvz5s1L+TaQooIpvUEqa2xslBkzZkhxcbEUFxfL1VdfLfPnz7cV2Xn22Wflc5/7nHTr1k2Kiork1FNPlR/96Efm816KU+q6LnfffbcMGjRIcnJy5LjjjjOLkjn9nZ07d8rUqVOlX79+kpeXJ8ccc4xcddVVtiJwtbW1MnPmTOnbt6/k5uZK3759ZcqUKbJp0ybzNWvWrJERI0ZIXl6eDB8+XNauXeupiOfWrVulubnZ8+foVATpyiuvlLFjx5o/Nzc3y5w5c6RXr15SUlIi1157rfzwhz9MWsTz2muvlRNOOEEKCgqkrKxMLrjgAnn77bfN55966ikZMmSI5Ofny2mnnSZ/+ctfJBqNyrJly0TkSBHP2OJugwcPthVO2r9/v1x33XXSp08fyc3NlUGDBslPf/pT83kvnzURdY2XWHr77bdL3759pXv37vL1r39dFi9enLSI549//GMZPny4dO/eXYqLi+Wcc86xxYO//OUvcsopp0h+fr6ceOKJ8vTTT8fFB6eYOXHiRFtx0ObmZlmwYIEMHDhQcnNzpV+/frYiv42NjTJv3jwZNGiQ5ObmSmVlpZx33nmydu3apJ9JZ2NxbW2tfPWrX5XCwkKpqKiQ+fPny2WXXRZX/PShhx6SU089VfLz86Vnz54yevRoWbp0qfm815g+b948My4OHTpUfvvb39p+x/p33n77bTn//POlsrJS8vLy5Nhjj5Ubb7zRXDVKRGTHjh3yP//zP1JRUWG+Ztq0afL++++br1mxYoUcf/zxkpeXJ6NHj5bnnnuORTyJQkrXdbn33nvlxBNPlNzcXOndu7d85StfERFvMcdrEU9r31REZMOGDXEFQv/4xz/KyJEjJS8vTyoqKmTmzJly4MCBhH/HrY/b2toqd911l5x00kmSm5sr5eXlcs4558iTTz55VJ8VZSZNpJNjy4mIiIiIiIiIfMZVSIiIiIiIiIhIeUxgEBEREREREZHymMAgIiIiIiIiIuUxgUFEREREREREymMCg4iIiIiIiIiUlxN0A4Kwc+fOTr2+oqICtbW1aWpNMLhN6su27QGyb5uOZnv69u2bptZkrrDH5GzbHiD7tinbtgfgNhkYk+3CHo+B7NumbNseIPu2Kdu2B0hvPOYIDCIiIiIiIiJSHhMYRERERERERKQ8JjCIiIiIiIiISHlMYBARERERERGR8pjAICIiIiIiIiLlMYFBRERERERERMpjAiOF9D88Af2FpxM//9v/g/7qWh9bREQUTvLfj9B2z82Qpibn56vfQNvi2yEiPreMiIiIiI4WExgpJG9vgmz+V+Ln3/gH8O6bPraIiCic5MNtwNa3gT3Oa5DLe+8A//4n0Nrqc8uIiIiI6GgxgZFKug6Invh5kfb/iIgovYxYmyjmGrE6WcwmIiIiIqUwgZFKIu1JjET0tuTPExFRahixNlHMdXueiIiIiJTDBEYq6XryzjBHYBAR+cNthIXbCA0iIiIiUg4TGKmk68k7w7oO0dv8aw8RUVhxBAYREaWA/veXob/wTNDNoA76H57AYS6KEGo5QTegqz799FOsWrUKjY2NuOGGG4JtjLiNwHB5nqiDvuZ57N9TB3z1iqCbQuSZUvFYdxmBwQQGEWU5pWJyBpPX/wbU7ATO/3LQTSEAsnEdmvbUAiedGnRTKCBKjsBYunQprrrqqrhg+8Ybb2DOnDmYPXs2nnvuOQBAZWUlZs2aFUQz47kV8dQ5hYS8ke1b0PzW60E3gyhz47ERa3UW8SSi7JGxMTmT8QakWjiiPfSUTGCMGzcON998s+0xXdfx8MMP4+abb8YvfvELvPrqq/j4448DamECbkU8hUU8ySNdby/6ShSwjI3H5giLBMcRR2AQUQbK2Jicydxq3JG/dB1o4/4IMyWnkAwbNgw1NTW2x7Zv344+ffqgsrISADBmzBhUVVWhf//+rn9vzZo1WLNmDQDgzjvvREVFRafak5OT4+l3ajUN0LSEr/1UF+Tl5qC0k++fDl63KZNk0zbtzc1Fq0jWbI8hm/YRkH3b4yTV8RjwJyYfLOyGAwBKiouR5/Da/fn5OASgrLQU0fJg92E2fo+ybZuybXsAblOmytQ+ciaJ3aY9OVG0RRL371WXbftoNwAN2dVHzrZ9BKR3m5RMYDipr69HeXm5+XN5eTm2bduGhoYGrFixAjt27MCzzz6LqVOnxv3upEmTMGnSJPPn2traTr13RUWFp99pa21J/vdFR/Phw51+/3Twuk2ZJJu2qe3wYUR0PWu2x5BN+wg4uu3p27dvmlrjn67EY8CfmKw3NAAA9u3ZA83htXpjY/u21NZCE61T759qsdsjIpCnl0E7ZzK0ysz8vmTTsS6HGpH/hyfQdPE3oBV0C7o5KZNN+8jAmNxOxT5yJondpramJqClJWO3M9v2kd7aAmltzaptyrZ9BKQ3HmdMAkMcakdomoaioiLMmDEjgBY5cBtixiFo5BWnkJDCMiYeAx6KeCp4nDXsg7z0HFDWO2MTGFnlg6049NJziJwyGjhpRNCtIYqTETE5k7nVuCN/iTh+5yk8lKyB4aS8vBx1dXXmz3V1dSgtLQ2wRQ5EEnaGRToKePKAIy+Y7CKFZUw8BhIfR2YRTwVjspl8UTC5EkYqJ7uIkCExOZPpeuKC0OQ/9pFDL2MSGIMHD8auXbtQU1OD1tZWbNy4EaNGjQq6WXa6nrgzLCwYR50gOoTfFVJUxsRjIDOXUVW5bWHEFWtIcRkRkzOZcASGUoSjlMNOySkk9957L6qrq9HQ0ICZM2fi0ksvxYQJE3DFFVdg4cKF0HUd48ePx4ABA4Juql2yVUjcOtNEVswukyIyNx67JAFUjslGIlzF0SFhpLuM5iHyUcbG5EzGPplauD9CT8kExty5cx0fHzlyJEaOHOlzazpBbwO0BMXg3IYzE1lxzXFSRObGY5cpImZMVjBJYNxZYgxQgzGVhwklUkDGxuRMxgtmtegcpRx2GTOFJCMkq3Gh+JBg+XA79JUPsSiOC/13KyBb/u3DG/FkSdQlbjFX5ToTnHKoFsXP30SUZiziqRbe5As9JjBSKdnKEW53AwMmb70OWfM7oLU16KYoTdb+DvKvv6X/jXQdwvl9REfPaxFPJUdgKDy9JYyYwCAKt2RTxMl/vMkXekxgpJJI4g6n6nfU2EHzxq+gyRVriLrGaxFPFZMEnHKoFOH5kSjceMGslmQ3jCkUlKyBkbF0PXENDJU7y4ClyjoDQlJ+ncQYnIm6xiVpLConlXnBrBazqCr3B1EoSZJVBslXRkKZU97DjSMwUinZMkuqd0hVb58qfEtgtHFfEHWF0clxq4Gh4nGmctvCyO27RETZjSMw1MERigQmMFIrWYBT/YBjh9kbv+ZB6u3ZfmaYiY6S11VIVLyrrnjNpNDh+ZEo3Fg0Uh1mPOYo5TBjAiOVktXAUL1Dqnr7VKH7NIxQ5YsrokzgljQ2O0EKxjyVp7eEEZe1JQo3rkKiDiaUCUxgpFbSERiKH3Cqt08BYiSo/BqBYf0/EXWO2zFk1v1R8Bjj8a8WJpSJwo3TyNTRUauP+yLcmMBIEdeLW9WLeLLD7M7PCx7uD6KucTteVT7GVD9fhI3K3xUiSj/Vp4GHCeMxgQmM1DHv0CQYjqz6Aad6+1RgZuB9mHfHETFEXeMW01ROEjAeq0Xl0TpElH6cZq0OJpMITGCkjiW4ORZeVH0IqnnBzKI4CfkZNHkBQ9Q1rlNIFO4E8YJZLYzHROHGGKAOFvEkMIGROtakhVOnU+WCcYDadyNV4WcGXpjtJ+oS11FxChdmZGdZLRwRRxRuxvlCeNEcONYjITCBkTrWA8npoFI9QaB6gkUFfl5U8AKGqGs8TyFRMOYxgakWlb8rRJR+5og9xoDAMR4TmMBIHXFJYKh+B0f1BIsKgkhgMNtPdHTcpmGoPIWEQ2TVwoQyUbixj6wOnh8JTGCkjrVj45QVVD34qZ5gUYGfnxE7zERdwyKelCrcH0Thxj6yOrgvCExgpI41aeE4AkPhu30AO2he+HnBw+GKRF0imbyMqlv9DvKX6udvIkovnTFAGayBQWACI3U818BQtEOqcmdeFYFMIeH+IDoquksSUBTuBDEeq4VDlonCzZjOyz5Z8Hh+JDCBkTrWoOa4ConCFe8BBgQv/EwqcH8QdY3b0tAqJ5V5/KtF5e8KEaUfY7I6OIWEwARG6riNwDCHBKt5wLkOtyZ/hxGL4gkvItW5JRwVnhZgjApRcnRIGPHihSjcGAPUwek8BCYwUsetBobqwU/19qnAz1E03B9EXWPepUlw11zlaVpMKKuFw8eJwo11idTREY+FU/pCjQmMVHFbhUT1IU8K341Uhp/7UPERO0TKc0tQqJwkVLltYcQ7fkQcfmH1AAAgAElEQVShJSLsI6uEU/oITGCkjrWTnMlFPHnBnJif+5AXMERd49bhVDmpzONfLRwRQxReblPEyV8sqkxgAiN1bAHO4aCSIxe/omISQ/UioyrwKWgy20+UAl5HYKgYj3nBrBYmlIjCy61IP/mL8ZjABEbqWDvBTh1iXfEAyBEY7vxKKqj+XSHKBG4jLDJiBIaCyZUwYoeZKLw4AkMtlnokSt4QJl/kBN2Arvr444+xevVqNDQ04OSTT8a5554bTEO8rkJiPB+Jpr9NncEOmju/PiPbdCQGZ8ocysRjwH2Ehcp1DTgCQy0qJ7uIklAqJmcqJjDUErs/oopdT5EvAk1gLF26FJs2bUJJSQkWLVpkPv7GG29g2bJl0HUdEydOxJQpUxL+jf79+2PGjBnQdR0PPPCAH8125jbETPUAyA6aO79GqbhNRyJKg6yKx4B7wlHlJAETymrh/qAAZF1MzlRuRfrJX3GjlJnACKNAExjjxo3D5MmTsWTJEvMxXdfx8MMPY8GCBSgvL8dNN92EUaNGQdd1LF++3Pb7s2bNQklJCV577TU899xzmDx5st+bcITuctdcFA+AKt+NVIVfw7o5hYQCkFXxGHCf8qXyRSmn9KlF5XoplLWyLiZnqtgR1BQs64097o/QCjSBMWzYMNTU1Nge2759O/r06YPKykoAwJgxY1BVVYWpU6di/vz5jn9n1KhRGDVqFH7605/i85//fNzza9aswZo1awAAd955JyoqKjrVzpycHNffaWnYg/qOf/csKUZuzOsPd++BfR3/Li8tRaSwe6fakGqx21QfjaAFQFGPHijo5OejCi/7qSta6j9FPYCohrS+j37wAHZ3/LukqAh5Gbo/nKR7H/ktm7bHr3gM+BOT6yIRtAIoyM9HscNrawAIgO6Fhege8D6M3Z7GwkI0AMiNRFGWod+vbDo29uXl4TCAgrw8x+9SpsqmfWTIpm3Kpj5yprFuk56Xc6RPVpyZfbJs2kdNRUXY2/Hv8tJSRLoVBtqeVMmmfWRI5zYpVwOjvr4e5eXl5s/l5eXYtm1bwtdv3rwZ//jHP9Da2orTTz/d8TWTJk3CpEmTzJ9ra2s71aaKigrX35H6evPfe+vrofWwv1727TX/XVe7G1rhoU61IdVit6mtuRkA0LBvLw508vNRhZf91BXGPm5rbU3v+xxsMP+9b88eaBm6P5ykex/57Wi2p2/fvmlqTeqlIx4D/sTktpb2mHa48SCaHV4rba0AgIMNDTgU8Hcydnv0hvYY0NLclLHHSzYd6/qh9vP14UONjt+lTJVN+8jAmGynSh8501i3SfbvMR/P1D5ZNu0j2Wu5ntq9G1rAN4RTJZv2kSGd8Vi5BIZTRVlN0xK+fvjw4Rg+fHg6m+SNy7B/UX0IWkebRBck/rRDzq8h57rLijZEPsnYeAx4qIFhTDFRsM6MytNbwsinJbSJ3GR0TM5UuuL997BRfUo++UK5ZVTLy8tRV1dn/lxXV4fS0tIAW+SRbeWIDCziaXTM2EFLzK9Cp8L5faSGjI3HgIdVSBSua6By28KIy9qSIjI6Jmcq1iVTi+rXU+QL5RIYgwcPxq5du1BTU4PW1lZs3LgRo0aNCrpZ7twOKNWrGLNonLtAViHh/qDgZGw8BjK7iKfwjr9SVF6xhkIlo2NypnK7QUn+sl1P8RwZVoFOIbn33ntRXV2NhoYGzJw5E5deeikmTJiAK664AgsXLoSu6xg/fjwGDBgQZDO9sSYlnDo5qgdAt84++TcCgwkMCkBWxWOgE8uoKpxQ5vGvBu4PCkDWxeRMxREYalH9eop8EWgCY+7cuY6Pjxw5EiNHjvS5NV3UqREYCh5w7KC58+szckuGEaVBVsVjwP2uucoxj1NIlCJ+Ja+JLLIuJmcqXjCrxXa9xXNkWCk3hSRjuRWVyZAinuwwJ8EpJESZwy1BYR7PCg5B5QWzWswi19wfRKHDPplSRPUbwuQLJjBSpTMjMFQMgOwwu/NtFRIGZ6IuS3K82leFUjBpq3NKn1JYI4oovFSvYRc2ql9PkS+YwEgVtxEWqgdAlYdTq8LYbz6OwOAdP6Kj1HG8Oi07qHyS0BgVomLbwojnR6LwUn0EddgwgUFgAiN13DrEqs+hYwfNXRAjMLg/iI5OsuOV8Zg6gyMUicKLfTK1MKFEYAIjddw6xKrf8VN5PrgixK+LClH8u0KUCZIV8cyUEXE8/tXA/UEUXqr338PGurw490doMYGRKqyBkf2MoMkRGETqS5ZwtB1jCiZtuay1WszvkoLJLiJKL07rVYvqIyjJF0xgpIpt6UuuQpKVxKeTGIMzUdclu2vuFq+DxnisFrcleYkoe7FPphbe5CMwgZE6nRmBoWKnlHOu3ek+XfQwOBN1nTmKwaWIp4rHGOOxWrgqDFF4qd5/DxtO6SEwgZE6bnfnVc/gcgqJO7/2IU+WRF2XbAQGExjUGeb5UcHpRkSUXqqfL8JG9WXQyRdMYKSIuGUEVc8YssPszq+TmOrJLqJMkCwpq3qhXCaU1cLzI1F42fpkTGIGTvUaVuQLJjBSxa3GheoZXHbQ3NmSUGkMmqp/V4gyQTaMwFAxuRJGrElCFF4cFasW1W8Iky+YwEgVtw6x6kU8WaTMXSBTSJhdJjoqyUYxqN4hZUJZLRwRQxReHBWrFtVvQJAvmMBIFXHpELPDnPn82oe24Kzgd4UoEyQrvJgpCWUV2xZGPD8ShRfv+KvF7XqLQoEJjFRxm5NlvZOu4pwtdtDc+VYDw7raCfcHUWeJiGVUmVNC2RqPFTzGjOQLO2dq4PmRKLxUT3iHDUdgEJjASB23u/O6uhelrgVIqZ1fQZPBmahr3DqcludFxZjHERhqYU0SovBiH1kt7CMTmMBIHdcOs8LTAhgMvPErC8/9QdQ1nVkVSsFjTIwRIqK3jyahYEmS6UhElN0UP1+EDmuSEJjASJ1MXkaVwcAb36aQKD68nUh1bjFN9Zin8vkijCwJJSIKGSYw1MLzI4EJjNRxG2Fhu3uv2B01hae3KMU6bz6dnxP3B1HX6G7LWluPMcXiMaD2+SKMWAODKLxYNFItqt+AIF8wgZEqbktf2i5+FSviyTv+3vgVNBmcibrGGtOcOpyqxzzeYVILa5IQhZZwBIZauD8ITGCkTieKxil3wDEYeOPT58STJVEXuY7AUDxBwBigFq4KQxRejMdqUf38Tb5gAiNVXFchUXgIGoOzN34tb8r9QdQ1tlFMTstaK5xQBthBUw1HYBCFF5e2V4slDgtjcmgxgZEqbsP+VT7geMHsTRDLqKqW7CLKBJ1JKKsY8ziNTC2sgUEUXqqfL8KG+4PABEbquB1QKndIebfPG78+J5W/K0SZoBMJZSWThOygqcVMYChWv4qI0k9XvGZS2HBEDIEJjNRxO6BUThLYOssKduZVEcgIDMW+K0SZIJMTyoD67QsbYx+omOwiovTiKiRqYYKfAOQE3YCu2rJlCzZs2ABd1/Hxxx/j9ttvD6YhbgeUrgOa1h78VDvgmM30xq+LCtt3iXf8KHOoE487YpoRc+Oe1y3PKxjzVB8hEjasgUEZSpmYnMncikKTv5jgJwScwFi6dCk2bdqEkpISLFq0yHz8jTfewLJly6DrOiZOnIgpU6Yk/BtDhw7F0KFD8c9//hODBw/2o9nOxNIhTrQKSTQKtLaq1yG1XCQLL5gTC2IEBoMz+SQr43E0mryIZzRHzWNM9SKjYWOOwOC+IP9kVUzOZLxgVoveduTmhGrXU+SbQBMY48aNw+TJk7FkyRLzMV3X8fDDD2PBggUoLy/HTTfdhFGjRkHXdSxfvtz2+7NmzUJJSQkA4JVXXsHMmTN9bb+NMcIiEkl8xy+a057AUC0AMjh741diwfj+JPouEaVB1sVjoD3mJhuBoWoCg0lMtbCIJwUgq2JyJuO0XrXo0nE91cKYHGKBJjCGDRuGmpoa22Pbt29Hnz59UFlZCQAYM2YMqqqqMHXqVMyfP9/x79TW1qKwsBCFhYWOz69ZswZr1qwBANx5552oqKjoVDtzcnJcf+dAQQEOahEgEkW3/HwUxbx+b24umnNyIU2H0aN7IQo72YZUs25Ta9NB1HU8np+Tg54Bt+1oedlPXbE/Pw+HOv5dUlyMvDS9V2NhNzQAQDQH+Xl5KMnQ/eEk3fvIb9m0PX7FYyD9Mbm15TDqAGi5uQAk7rVNRT2wF4CWm4NoNIpyheIxANRFImjt+HdZaU9EM/A7lk3HxqdyZARGtmwTkF37yJBN25RNfeRMY92mg4WFOAAAkQgK8vNRnIHbmk37aF9eLppyciGtLehR2C3w66lUyaZ9ZEjnNilXA6O+vh7l5eXmz+Xl5di2bVvS31m3bh3Gjx+f8PlJkyZh0qRJ5s+1tbWdalNFRYXr7+gHDwIRDdCAQwcPoinm9W2HD7XfUQdwYP9+NHayDalm3SapqzMfb2pq6vTnowov+6kr9MZG89/79uyBlqb30hv2AwC0nBw0NTZm7P5wku595Lej2Z6+ffumqTWpl454DKQ/JktdR2zTIkBrS9xrZe/e9v9Homhtbg78Oxm7PW3NTea/62troUVyg2hWl2TVsW7Mgdf17NkmZNk+6sCYHE+FPnKmsW6T0SdDJIrDjQfRnIHbmk37SD90CGJeTzUEfj2VKtm0jwzpjMfKJTDEYbivpmlJf+fSSy9NV3O8Ex3QIoAWTbwKSTTnyL9VwuHK3tjmpaexVoixD3JyuT8oUJkbjy01Lpqb45+3TTFR8BhjDQxliAiLeJIyMjYmZzKzT5bDlfpUoOvt+wJQ8/xNvlBuGdXy8nLUWUYE1NXVobS0NMAWeaTr7SMsIi5FPI1/q4SdZW+sSYt0Bs2O/aHlKHpxRaGR0fEYaI+54pBstD6vYszjnGt1sEYUKSRjY3ImUz3hHTJiTWAwJoeWcgmMwYMHY9euXaipqUFrays2btyIUaNGBd0sdyLtRTy1SOJlVDNhBAaDc2J+r0KiaoFBCo2Mjcdux5B1hIaKMc8WaxRLeIeN9e4rOjrPRAHJ2JicyczzRYJVrchfYrmeUvH8Tb4IdArJvffei+rqajQ0NGDmzJm49NJLMWHCBFxxxRVYuHAhdF3H+PHjMWDAgCCb6Y05AiPZKiTGCAzFDjhOIfHGluhJ40VFx/toOTnsLJNvsioei+WiM+kqJB1LW6vGuMPU2uo8goT8Y46Iy4WouAw6Za2sismZzDaFhH2ywFmvp7g/QivQBMbcuXMdHx85ciRGjhzpc2u6SDdqYCSaQqLyCIw253+TnV9TbSw1MES1ZBdlrayLx0DiKSLWBEeLQ42MoBnnCxWX3Q6bmBEYts4zURplVUzOZEYMiESZwFSByiPayTfKTSHJWGKMwEhSxFPVOVvi08iCTOfzFBItGuXwcaKjYZsiInGF78yRTapO07J20BiTg2XGY0XP30SUXsYNykiCKeLkL9Hbi9wb/6ZQYgIjVaxTSBKOwFC0iKeZXWZwTkb8SmCI5WTJ4EzUedYRGED8cWQr8qngMWY9XzAmByt2BAan9BCFi+jtBfrZR1YDp5AQPCQwdF3HypUr0dLS4kd7MpdZxDPBFBJd1B3yZCRUOL8vOSNJhTQXctONk6WiKyRQoBiTPbCOsLD+bLCO0FDxGOMQWXWIUZOo444f9wdZMB6HgDlFPMJpvSoQae+LJ7reolBwTWBEIhG8+OKLiHLOZ3JuRTxtIzAUO+BUH06tCr8qH9uGK/JuH9kxJnsgMXfNY+OabQSGYiPiALWnHIZN3AgMBb8vFBjG4xAQPfkIa/KXrrcnL7g/Qs3TFJKxY8fiz3/+c7rbktmsw/4TLaOqasbQreAdtfNr2FrHyVJjcKYEGJNdxI7AiL3oNBKDqiZtRSwXzAq2L0xYA4NcMB5nOd24488+mRL0tvYRyiyqGmqeViHZvn07/vSnP+F3v/sdysvLoWma+dyPfvSjtDUuo5gJigR1C1QuAmR29nPZWU5GfLorapwsGZwpAcZkF+YUkQQJR04hIa+cViEhsmA8znK2umTskwVO7yjiqeL1FPnGUwJj4sSJmDhxYrrbktmMGhjJiniaCQ7FAiDXuPZG19uTPEB6Ez3GyVLTgDZOIaF4jMkuPBbx1KJRNec0s0iZOlgDg1wwHmc5vU3dEdRh1HFDmKOUw81TAmPcuHFpbkYWsNTAcOwQm3fVFQyAYhlOrWJnXhV+XVQYJ0sGZ0qAMdmFmaDIhVh+NoniSVsuo6qOuBoYCn5fKFCMx1nObZVB8pdI8hHvFAqeEhgigrVr1+LVV19FQ0MDfvazn6G6uhp79+7FmDFj0t3GjCDWu+aJRmBoGqApuGyftYPWykraCYn4U4i142SpqbrEIwWOMdmFcdwkSjjqik8hsRYMVrF9YWKMwOD+oAQYj7OcdYQ1+2TBYxFPgscinitXrsTLL7+MSZMmoba2FgBQXl6O559/Pq2Nyyhuq5CYz6s4AsMyX1y1tqlEb2ufdwekeQQGs/2UHGOyC7eVI8xRZ4rWmeEqJOpgDQxywXic5dgnU4vteov7I6w8JTDWr1+PefPm4eyzzzaLE/Xu3Rs1NTVpbVxGMTK0iaoUiw4tElWyirFwGVVv/CqsJ2KuOc79QU4Yk11Yi3QCGToCwxjtxTo4gTITGKyBQc4Yj7OcW5F+8pexUh9vuoaapwSGrusoKCiwPXb48OG4x0LNlqF16HBahzypdsfPeodJtbapxK+7orrePlKH2WVKgDHZRWwRz0Q1MFSdpmVUWQeOJFsoGB3nRI01MCgBxuMsZ12FhPE4eGZCScER7eQbTwmM008/HY8++ihaWtrrI4gIVq5ciTPOOCOtjcsoxl3zRAkKs+iMggccR2B4Y6uBkcaTGCsskwvG5ORso8raH7C/QOGVl0TEv3o75M4oCMuEEiXAeJzlOGVBLaJD0yJAhCMwwsxTAuOyyy5DfX09Lr/8cjQ2NuKyyy7D7t27MW3atHS3L3O4LbOkGxlcBe/42TrzHK6ckF9TSMyTJYMzOWNMduFaxNOe4BCVjrOYopFKtS2M4pJhPEeSHeNxljP67yregAwjJpQIHlchKSwsxPe//33s3bsXtbW1qKioQM+ePdPdtsxirVKcKIER0dQMgDqXUfXErykkorcnLzSNU3rIEWOyi9iLzmRTSAC1jjO3tpO/WMSTXDAeZzneVFKLsVJfJMIEf4h5SmCsXr0aw4cPx8CBAxmUE7EW+XEaxWBclKo4LcDovCs4nFoptqUN03gXzqiXElXwu0JKYEx2YY1p1p8NTkkCI5kRtNj6HUwqB8sYEcMEBiXAeJzdhMuoqsUcEcM+cph5SmC89957+MMf/oBDhw5h6NChGDZsGIYNG4ZBgwYhEvE0CyX7WQNca0v88xlQxFOL5rQHanJmnUKSxpOYGBWWI1FO6SFHjMkuXIt4dsS5iIJJgtjkCztowYqtgcFzJMVgPM5yLBqpFqOmoIo3hMk3nhIYs2fPBgDU1NSguroa1dXVePrppwEAv/71r9PWuIyit3UM+082hUTRACiWu5GqtU0lokOLRiFAegu5cc1xcsGY7MI6LQ5wLuJpHGPGz6rgsp1q4ZQecsF4nOWEfTKlWM7fvOkaXp4SGACwc+dOVFdXY/PmzXj33XdxzDHHYNiwYelsW2axDTFLsApJRhTxVKxtKjGGmWtaevehrUARgzM5Y0xOwm0Ug3VZPKfngxQ3hYQxIFBiOT8Can1XSBmMx1lMb58Crmm8YFaC3ta+Ul+UNUnCzFMC4+qrr0ZBQQE+97nPYezYsZgxYwa6deuW7rZlFrcRFiqPwGACwxu/9qGR7OL8PkqAMdmFWx0J67EMqJUkcJv+Qv4yp5AwgUHOGI+znOjJi/STv8Ry/lbthjD5xlMC44wzzsA777yDqqoqHDx4EAcOHMDQoUNRXl6e7vZlDrdlffQjd/xEtQPOOkSWwTkxyz5M7zKqbWaFZQZncsKY7MJISJjD/h2KeBodUuNnVZhT+jiFRAlmEU9jf7AuEdkxHmc5tyL95C+uCkPwmMCYOXMmAGDv3r3YsmULqqur8dBDD6GoqAj33XdfWhuYMcwpIgkubm1z6BS62wfYa2CIDhGBZtyZpCP8KhzE4EwuGJNdxI1iiOl0Wo9lABCFOqVctlMtsTUwVBqtQ0pgPM5ynNarFuv5mzf5QstzDYwPPvjAnN+3ZcsW5OfnY8iQIelsW2bpuGuetIinpqk55Cm2w2zU8yA7Mwuf5jomfo30oIzGmJyEeCziqRkjMBTqlHIZVbVwCgl5wHicxYwLZhWngIdRx/WUxj5yqHlKYEyfPh2FhYUYOnQoRo0ahcsuuwx9+vRJd9vifPrpp1i1ahUaGxtxww03JHwsEB0X/VqiqrhmxlDBu+pOc6659Fe8jsJBaU8smN8VBZNdpATGZBcdCQktmuO8apA1SWj8rAqJueOvUtvCKC7Bz/1BdozHWc5YZZAXzGrgKGWCxwTGXXfdhd69e3fpjZYuXYpNmzahpKQEixYtMh9/4403sGzZMui6jokTJ2LKlCkJ/0ZlZSVmzZpl+32nxwLhtvSlW42MIMUNkVWsfaqwFg5K9xSSaBQagzMlwJjsIjYJEBvTrMcyoNawYF4wq8Vc0YY1ScgZ43GW0/X2459TSNRgLcLdptD0T/KVpwRG7969sWvXLrz66quor69HWVkZxowZg759+3p+o3HjxmHy5MlYsmSJ+Ziu63j44YexYMEClJeX46abbsKoUaOg6zqWL19u+/1Zs2ahpKTE8/v5zph24TBFRESOLNun4hA0s7PPqvdJ+ZWEEh2I5DLbTwkxJrswRlwkimnWYxlQqzBb3AgMdpgDZUwhYYKfEmA8znLGiD0W8VSD6O1TuVW8IUy+8ZTAeO2113Dfffdh5MiR6NWrF3bu3ImbbroJs2fPxqhRozy90bBhw1BTU2N7bPv27ejTpw8qKysBAGPGjEFVVRWmTp2K+fPnd3JTAqbr7XfMnS46jYytqkWA4uaDMyA4MpJUvhXxZAKDnDEmuzA6mcmWUbWuQqJSJyh2RBw7zIESY3/kckoPOWM8znIi7VN6ecGsBl0HIhq0KEcph5mnBMaKFSvwve99DyNGjDAf27x5Mx555BHPwdlJfX29bZmp8vJybNu2LeHrGxoasGLFCuzYsQPPPvsspk6d6vhYrDVr1mDNmjUAgDvvvBMVFRWdamdOTo7r79RGNOQWFAC5eWjWNNvrpbUVNQAKe3RHc14eEImirJNtSDXrNjXk56MxEkX3oiIcAFBeVopI96JA23c0vOynrqgRQbfu3XE4Jwf5eXkoTtN71UUiiBQUIJKTC0DSuk1+S/c+8ltQ28OYnPxzP9CtGw4CKCkvxx4AxT2KkG95/b78PDTn5KJHcQn2Aygt6YmcAL+X1u1pPdSAOgBFPXtiP4DCbt3QIwOPmWw51g/1KMR+ADl5+QCAou49UJAF2wVkzz6yCmKbGI+z+3tUF4kgkl+AaPdCHAYycluzZR+JrndcT/VAazSK3Gjw11Opki37yCqd2+QpgVFfX4+hQ4faHvvMZz6Durq6Lr25U7HLZMt3FhUVYcaMGa6PxZo0aRImTZpk/lxbW9updlZUVLj+TltLC/SWFkAAaW2xvV5amgEAjYcOQ9p0oLW1021INes26Y0HgYiGg4cOAQDqdu+GdqgpyOYdFS/7qSukrQ2HmpogAA4fakRzmt6rraUZaG1DrgjQpgf+XUmldO8jvx3N9nRmWHEijMnJP3f9wAEAwL6G9v/v37cXmuX1euMhiAgaDh4EAOypr4OWX9ipNqSSdXukvh4A0NDYHo8bDzTgcAYeM9lyrOv79gMA2jpGKO7ftxcHsmC7gOzZR1ZBxGTG4+z+HrU1NwOtrdCamiFtbRm5rdmyj6S1FUD79VQuNLQ0NWXFdgHZs4+s0hmPPS01MWjQIPz+97+3PfaHP/wBgwYN6lSjYpWXl9sCfF1dHUpLS7v0NwNjnV4Qe9LRY6aQqDbkSbfMJzN+pnjWqTbpnkKiae0VlkV3XtWGQo0x2YV0HEOJamB0FPE0LwZUqjNh1lzoqJnE4z9Y5jKqLOJJzhiPs5xfBdzJnTGFR9VFEcg3nkZgXHnllbj77rvxwgsvmAE1Pz8f3//+97v05oMHD8auXbtQU1ODsrIybNy4Ed/5zne69DcDoycJcNIxh1nVIp4d88lYA8OFUYjVzxoY5vtG0/d+lHEYk13oYq9x4VTE07qMqihUZ0K3dNBUPF+EjdFBNleFYUKJ7BiPs5zuU9+P3FluCGuRiFo3H8hXnhIY/fv3xy9+8Qts27bNrLA8ZMgQ5OR4+nUAwL333ovq6mo0NDRg5syZuPTSSzFhwgRcccUVWLhwIXRdx/jx4zFgwICj3phAJbu4jR2BoVoHKLYzzwDtzMcRGFrs/ogwgUFHMCa7kDZ7YWKnIp6RJAmOIBltYYdZDeYIDBbxJGeMx1lO9PaLZd7xD571hnDHKGUKp6TRVUSwdu1afPTRRzj++OMxbty4o36juXPnOj4+cuRIjBw58qj/rjLMu+YOB5R1yFO6L36PhnV4nPEz2UjsRUU6k1AiR7LLxs9EYEz2zCUpKyJHlsVrf8DnBibBIbJqiVvWVqHROhQoxuOQ8OvmFbnjCEXqkLQGxmOPPYYnn3wSe/fuxfLly/Hkk0/61a7MY9TAcDqgzItfRZdhsiZfjJ/JTrdfVEhaR2C0cUQMOWJM9qgjCWgcQ3HHa+w0LZWOMWuyVOMycYGLrYGh2vmbAsN4HBLW8wnjcbCsffEo90eYJR2B8be//Q233XYb+vbti48//hh33303Lr30Ur/allmsHWKngnGAuhncmM4+O2gOxDINKN1ZX5UvrihQjMkeWWsSAfEjLIwpfyrW/bElS3mHKXDG529OIVFotA4FivE4JIzC6h3nCxFJuhoMpabj/8oAACAASURBVJHl/KhxCkmoJR2B0djYaC5n0r9/fxzoWJqOHFg7xHGrkCjeIdXbeMHsJm4KSRo/I2NKD0fEUAzGZI/EQxFPIx4DanWCjLYYHWYe/8GKrYGh0neFAsV4HBKx5wvG5OAY11fG+Z37IrRca2DU1NSYyzjqum77GQAqKyvT28JMYQ1wCaeQRKBpEfWWxWQRT3dG4SAjseDDCAyNNUkoBmOyR3pMEc8Ey6iqPQIjqmbR57AxPv8oi3iSHeNxSEhHIXXr+SLKwuqBsNXAYAIjzJImMJqamjB79mzbY7E/r1y5MvWtykRmDQynIp4xq5CodsBZLpjF+JnsYmpgpHcEhnAEBjliTPYobplUh5WhrCM0VEoSxBbx5PEfrNgaGNwf1IHxOCSMKSRGn4w3lYLDVbqoQ9IEBgNvJySrgWEt4qlF1KtizhEY7mITGOkegZFs+DuFFmOyR0YSMKNHYBhTEhVqWxjF1cDg/qB2jMchwSkk6jCunyLR9pX6VLr5QL5KWgODOiGmaJyt6n3csniKHXCxRSNVa58KrPPuWMSTSG1mUjZBh1PlYyx21SqV2hZGHR1m1sAgCinjfKJiwjtsbCPao+rdECbfMIGRKhIzisGaBLAti6deEU8x71ZyykJCfo/AiETbKywDTCgRdZbo7cmLRElZs+iygnVmVJ9yGDYd+4NTSIhCKm6lPvbJAhOb4Ffp3E2+YgIjVZLd0Yurn6BY8ItrOzOacfwsHCSxd4+5P4g6xbxjliApa8Y8BZO2tlijsYMWNGN/sIgnUThxBIY6bCPa1bshTP5hAiMFxDa9wCHAGXdwVL2jJjEJDHaY4/m5jKoee/eY+4OoU9yWSTXrzBjPK5RU9nO0F7kzvjtRBZNdRJR+0hbTR+ZNpcAYRZUjkfZRyozHoeUpgbF69Wrs378/3W3JXLEdTsDeYbZNIVG4iKfGAkUJmVnfqE9FPBW9O0xKYEx2IZL8jplbkc8ASVyyVKHkShh1xGONw8cpAcbjLKfHTCHRGQMCo/qIdvJN0lVIDG+99RZWrFiB4cOH45xzzsFnP/tZ5ObmprttmUNiOpxAgikkmpoHnB6bXVasfSqIW0kmzVNIIpYOs0IXV6QGxmQXcYWJnaaQRNUs4mkdIqtFIKolvMPG+C4BHBFDjhiPs5zoRwq4A4wBQeIy49TBUwJj3rx5aGhowKuvvoo//vGPePDBB3HmmWfinHPOwbBhw9LdRvXFzlkG7B1mM8ERVbKIp9IV+VURl/X1YRUSjQklcsaYnJyYHc4Ed8z0NvvzKk3T4jr3apGYBAaHj1MMxuMs55YQJ//EjWjnvggrTwkMACgqKsLkyZMxefJkfPjhh1i8eDFefvllVFRUYOLEibjgggtQUFCQzraqy1oDw2mImfIjMPTEo0eonU9ZXxGJr3jN/UEOGJOTcCtMHHOMia5D87mJCcUWDFbtfBE21hEY7DBTAozH2Yl9MsVYzo8aE/yh5jmBAbQPk9uwYQOqqqowePBgXHfddaioqMDq1atxxx134Mc//nG62qm22A4nYL9Lo3rGUOH54MqwFA6SdCah3KYjEVkwJicQW9fHcQqJoseYGQM0jsBQgVHwFeD+oKQYj7NQ7M0r62PkP9sIxSj3RYh5SmA8+uij2LhxIwoLC3HOOedg0aJFKCsrM58/4YQTMH369LQ1UnluF53Gxa45/UCxIai6DuTkqNmZV4VlH2ta5EihvVSzZZdZxJOcMSa7iLtjJvHPW+c0qzTKwYwBik45DJvYGhgqfVdICYzHWSz2BqT1MfKfw6IJoutHasZRaHhKYLS0tODGG2/EkCFDnP9ITg7uvPPOlDYsozitQuI0hcS8o6ZYB8iYL84lohLza2lD2/skuHtMoceY7EKPKYTrMAJDy4QinrzjHzwjGQaoOYKSAsd4nMUc+/eMAYGxTdm3FFVlAiN0PCUwpk6diry8PNtjBw4cQHNzs5ll7tevX+pblymsB1SyIp7GHTXVLkhji0aqlmBRQew0oXStDBA7Wsf63kQdGJNdGElZwPmiU2+z31FTKSb7WTCY3BnTkQAmlMgR43EWs/TJtEgEYn2M/Gf0vSPRI6OUeY4MJU8pq3vuuQf19fW2x+rr6/Gzn/0sLY3KOG4Z2ri794oFv9glBRkM4vk9AsOY32d9jKgDY7KLuGH/MceQyJGiysbrVeFXrCFvRD8SizmlhxwwHmcx2xQSLqMaOKeaJKpdU5EvPCUwdu7ciWOPPdb22LHHHov//ve/aWlUxnGqgSEOCQxj2T7R2ysbq0Jvi5tPRjFiV5pJ1/6zrFiTcPg7hR5jsgu3u+Yqr7xkG9HHERiBM5bcBVg0jhwxHmex2FUErY+R/5xuGHPaeyh5SmAUFxfjk08+sT32ySefoKioKC2NyjhOq5AkK+IJqNUJElG3M68K30dgKDo/n5TAmOzCVrdAi0846np7h1TpIp6KjtgLG93yXeKIGHLAeJzFrH0yjVMWAme9nmJR1VDzVANj/PjxWLRoEb7+9a+jsrISn3zyCVauXIkJEyaku32ZIfbuPJB8CgnQ0Snyr4lJxdXAYDCIEzuMMF0nMCOTbFuSl/uD7BiTXRgrKwHOF50i9mlzKsU81sBQi+hMYFBSjMdZzDZlgVNIAmcZ0a6peP4m33hKYEyZMgU5OTl47LHHUFdXh/LyckyYMAEXXXRRutuXGWxLXzoU+TEuSq1z6FTqlBpLEKk4OkQVlsJB6R2BwSKe5I4x2YW1iKfjFJIMKOKpcRlVJVjrqahYhJsCx3icxWKngFsfI//ZEvzGiBiOUgwjTwmMSCSCSy65BJdcckm625OZJObuPBAzAsPpolShA07XE48eoXax04DSPoVEO1JhmfuDYjAmu7BddDoV8dTVndNs3vHT2jtoKrUtjLgKCblgPM5ijjUXFOq/hw2XtaUOnhIYQHuRoh07duDw4cO2x/0cIvfpp59i1apVaGxsxA033AAA2Lx5M1auXIn+/fvj7LPPxvDhw31rj8kxwDkso2rN4KpUdMYYIsvscmLWLHw6C7lZhytGuT8oMcbkJIyVlYAEIzBi6v6odFfdthIRp5AETWKnkPDihRwwHmcpa5+Mq5AETqwjFJnACDVPCYxVq1bhmWeewcCBA5Gfn297zmtwXrp0KTZt2oSSkhIsWrTIfPyNN97AsmXLoOs6Jk6ciClTpiT8G5WVlZg1a5bt9zVNQ0FBAVpaWlBeXu6pLSlnG2IWf9dcVJ8WYNytVLFtqrCdxHwYgWE9WbLDTDEYk12IJJ9CYiZtjQ6pQsdYbFFoxuNgxYzmEV2hmw+kBMbjLOY0ZYExIDiWEYqsgRFunhIYq1evxh133IGBAwce9RuNGzcOkydPxpIlS8zHdF3Hww8/jAULFqC8vBw33XQTRo0aBV3XsXz5ctvvz5o1CyUlJXF/9zOf+Qxuvvlm7N27F48++ii+853vHHUbj1rHBaaWqMiPbinMqOIQNKMzH1GwPocqbCexNM5LF6eTJfcH2TEmu4irWxC7CknsyksKdUg7YoCW7lhD3nAKCblgPM5i1iniKvbfwyZ2hCKg1vmbfOMpgZGXl4d+/fp16Y2GDRuGmpoa22Pbt29Hnz59UFlZCQAYM2YMqqqqMHXqVMyfP9/T3410fIF79OiBlpaWLrXxqDkto2or4ulSIyNoxnBrh9Ej1MGvu6KW4Gxkl0XXoaXn3ShDMSa7cCviKW3qrvRjJFcAaFoEws5ysIwldwGOiCFHjMdZzGlULGNAcFiThDp4SmB87WtfwyOPPIKvfvWrcRleIzgejfr6etuQtvLycmzbti3h6xsaGrBixQrs2LEDzz77LKZOnYp//OMf+Pe//42DBw9i8uTJjr+3Zs0arFmzBgBw5513oqKiolPtzMnJSfo7LfvrUA+gqKQEWkEh9gIoKSpCXsfvHOreA/sBlJaXo7m4GA0AykpLEe1Z1ql2pJJ1m3YDyO9WiB69KrAbQPfCQnTv5GekArf91BWHe/TAPgA9S8twuEcPNIqelvdqPdSAOgDFJSWI5uYBAIp6FKJbBu4PJ+ncR0EIansYk5N/7rWRCHIKuqFnRQV2R3OQl5eLEsvrP9UF3boXokfv3qgBUNitG3oE+L20bk9DQT4aoxFUVFRgb7duaNW0jDxmsuVY35OTAz0vDzk5OcjJy0MkNxelWbBdQPbsI6sgtonxOHu/R62HDhzpk5WVoR5AcVEP5GfY9mbLPjrUvRD7AZRVVKCt/lMAQGlJCXKyYNuyZR9ZpXObPCUwli5dCgBYu3Zt3HMrV6486jd3urOkaYnvNRcVFWHGjBm2x84880yceeaZSd9n0qRJmDRpkvlzbW1tp9pZUVGR9Hekvh4A0HDgINDcCgDYt2cPtI7f0ffvAwDs2bcPcrARAFBfuxtaa3BZXOs26a2tONzchKY9ewEABxv241AnPyMVuO2nrpB97Z/N3v37IYcPA7qk5b2krg4A0HDwIHI6jo+GfftwMAP3h5N07qMgHM329O3bt8vvy5ic/HNva2mG3tqK2tpa6ACaDh2yv150HDrchKa6OkDT0HjgAA4H+L20xeODBwAt0t725hZIS3NGHjPZcqy3NTUBbTpaW1vRquvA4cNZsV1A9uwjqyBiMuNx9n6PpL6jT3bgAFCwHwCwf+9es3+fKbJlH+n72/dB/d69KOo4PvbU10HLLwyyWSmRLfvIKp3x2FMCY/HixZ16c6/Ky8tR13HBBgB1dXUoLS1Ny3ullXGSMVaoAOxDkm0rWChYdMaY46ti2xQhscPWRIeIJO1MHN0bGd8lRQsMkhIYk13oliKeTsP+Y2tkqHSMWdvGmgvBi12FhPuDYjAeZzHHKeKMAYGx1SThtPcw85TA6NWrF4D2gkL79u1LWQAdPHgwdu3ahZqaGpSVlWHjxo2ZWWDIbY6cKD5nK64iP4NBHGvhIOtJzKgbkur3iUSgRR2SYURgTHZlu+i0F8IUkY5VSqxLYypUBEyPqd+h0rkijGKLeDIeUwzG4yzmVHOBfeTgONbA4P4II08JjIMHD+Khhx7C3//+d+Tk5OCxxx7Da6+9hu3bt+PrX/+6pze69957UV1djYaGBsycOROXXnopJkyYgCuuuAILFy6ErusYP348BgwY0KUNCoRTlWLbKiSKFwHShcHZjXEREYkZRRNJUwKDI2IoCcZkF9YkQGwhTGtC2fi/SseYiLptCyO9LWa0DvcH2TEeZzGzfx9ln0wFTChRB08JjAcffBDdu3fH0qVLcf311wMATjzxRDz66KOeg/PcuXMdHx85ciRGjhzpsbmKcquK63RRqlLG0KjIr+LoEFX4lVhwWnKXwZliMCa7SDbsX49JYGiKjXKIWwKWx3+gRICo8V2Kcn9QHMbjLGaeLzQzKS4iXBkuKNZRyuwjh5qnBMZbb72FBx54ADk5R15eXFyMffv2pa1hGcVaA0NzOKDMu/cR5+eDZnSYVWybKszEQjS9iR7r3WHOt6QEGJNdWEdHaTHD/q3xGlBvlEPslAWV2hZGsTVJWlqDbQ8ph/E4i3FUrFqsdeK4P0LN0/pOhYWFaGhosD1WW1vLYkIGxxEYbfHPK17EUzMSMCq1TRVOiYW0jMA4kuxidpkSYUx2IZI4QRE3AkNTawRG7OgRJjCDFTMdifGYYjEeZzHrDUj2yYJnHRHDUeOh5imBMXHiRCxatAhvv/02RARbt27FkiVL8IUvfCHd7csMjjUwnOdcayoecLF3mFQqaKcKW5IqjXVMbAVfWWGZnDEmu4iLaUkSGJHIkRFWKrCOwOAFc/Cso3kirIFB8RiPsxhXIVGLeUM4yj5yyHmaQvLFL34Rubm5ePjhh9HW1ob7778fkyZNwgUXXJDu9mUGpyKdjsuoRpUr4inW4XEAi5QlYpsmlMagqfpoHVICY7IL211zzTmhrGqSgMuoqsU6Ika1eimkBMbjLGYktzllQQ2WOnEcpRxunhIYmqbhwgsvxIUXXpju9mQm68VtxwElun6kyI/jkCdFDjjHu5GKtE0lbtOE0vI+DskwIjAmuxLrXXMPIzBUuiiNm0KiUNvCKK4miUKjdUgJjMdZzK/pw+SN4/5gTA4jTwmMt99+O+FzI0aMSFljMpbbsj7WojOqBUDr/D7j/+wwx3Pcx2ks4qlFoJnD47g/yI4x2UWyaRjWUU5OzweNNRfUwhEx5ILxOIvpDjUw2EcOjh5/w5g3+cLJUwLj/vvvt/28f/9+tLa2ory8HIsXL05LwzKKdUiy0xw5ldct5ggMb/zah+b7WNccZ3aZ7BiTXYgcGcEUOwIjLmmr2LQ5EdZcUIno7QWuAZ4fyRHjcRYTS8I7nfXPyJuO/aGl+2YiKc9TAmPJkiW2n3VdxzPPPINu3bqlpVEZx+3i1nrHT1MsgytH5pOZ/2dwjmdLUqVxaofK041IGYzJLmKH/be22J8zHgfil1kNmOhtlrZFGY+Dpou5PzQtAlHou0JqYDzOYrYadywaGTjLiDhzlDJjcih5WoUk7pciEXzpS1/C888/n+r2ZCaHGhi2BIVYlilVLYMbV8STCQxHfo/A0LgKCXnHmBxD14/E2tjCxLExT7WkbbIVVMh/sTVJeLePXDAeZxFx6PsxJgfHdn5U7HqKfHVUCQwAePPNNxGJHPWvZxWxZWgdDihbZ1qxAOhY0E6RtqnEllhIYwLDuuSuOdKDHWZyx5hsIfqRu2WxdX0kJuaptrJE7AoqsJxjyH9MKNFRYDzOEm79e/JXbDw2HqPQ8TSFZNasWbafm5ub0dzcjKuuuiotjco4The3sXOuNUUPOKfh1Ky5EM+ntcBFdyiqqsp3hZTBmOzC1smJZtYIDBHnDhovhoKRrCAsERiPs5pb/578JdbpoZxCEmaeEhizZ8+2/Zyfn49jjjkGhYWFaWlUxnEaYhY3AsPSAYp9PkjWFVIADpFNxFI4SNI6hYQ1ScgdY3JiYp3SZ/zfsYjnkcKMSo1wiK3fAag1QiRsYocsq/RdISUwHmcv2whr1W5AhpGtBgb3R5h5SmAMGzYs3e3IbE5352MTGKp2SDmFxBv9yCgaLRKBAOmdQqLq3WFSAmNyEm4rK8XV/dHUinkcIqsWWw2MqFrfFVIC43EWs97kU+0GZBjFjohDe5JJC7BJFAxPCYz77rvvyHz8JK677rouNygjeSniGbF0lgF1AiCXUfVG2vwZRaP4CgmkBsbkJKyrPgGJExiRqPPzQbOdL4zzCaf1BSZ2BKVK3xVSAuNxFnMagcE+WXBiiyoDjMkh5WlSbffu3VFVVQVd11FWVgZd11FVVYXCwkJUVlaa/4WWpyKeis7ZMqYscI5vck53RdOxD4U1MMgdY3ISEpOg0DTHIp6atbCyKiPiAOcRe4wBwbEWVWU8JgeMx1nMmhBnPA6eLvZ4DKh1/ibfeBqBsWvXLsyfPx9Dhw41H3vnnXfwzDPP4Iorrkhb4zKGddi/U4ATawdIsREYsRX5VZsPrgrHYd1pCJpc1pY8YExOImYUkxaJ2mOa8kU8nZKl7KAFRnR1R+uQEhiPs5hZlyzKleFUYInHWrQjLjMmh5KnERhbt27FCSecYHtsyJAh2Lp1a1oalXFsIzAcRljolqryqs2hYw0Mb8SS9TX3YRqGdZv7w5Jh5v6gGIzJSTgV8bQeq+JwjKkSj4GYKQuKJbzDyFL/SLl6KaQExuMsxlGxatHbHM6PnGIZRp4SGMcddxxWrFiB5uZmAO1LRD3xxBMYNGhQOtuWOWw1MBw6nCrfUYsNzrzj78yvKSRxNTBY9Z7iMSYn4ZiUtcRbY+SUZp1i8v/ZO+/AKKq1Dz9nNgktIYSEKuIVUJEiRQT1Wmgici2gXtSrXruCFdsnWK696xUL1osNsYu9gwUUlSZSRbBLC0mAVNLO+f44u5vd2dnNpuzuJHuefyCzuzNn9uy8c+Ytv9dF15i9ZMG3zZAYAvWPTJcugwPGHjdjatNUMsQXN5fkG+JKVCUkF154IQ899BBnnHEG6enpFBcX07NnTy699NJYj69pUJcuJG5TzZU17UEBY5zDEa/OAP6bpS9l2eMeZ5fBNRibHIHayrDc3qpYqfg4Sw3RYXcoGUFVgw1jj5sx9jJrI6yeWEyXLoOXqBwYHTt25LbbbiMvL4/t27eTlZVFTk5OrMfWdHDSwAiK+MUpel8f3N5S0C3ES1jPQZPEpMcZ7BibHIGQa8iWxaRsETW3LUhlgOaC20oOkxH7/dvMhcGGscfNGGlKSFxFQDm3cHreMiQNUZWQABQVFbFmzRrWrFlDTk4OBQUF5Ofnx3JsTYfaupAEini6rabZSXPBLWNzE46tDWMo4mluloZaMDY5DCHXkMe5hMStZQGy2kSY3ISyaViZuTA4YOxxM0W5PGMv2XAqITHzkZRE5cBYs2YNU6ZMYcGCBbzxxhsAbNmyhaeeeiqmg2syBGhgCCEcUpYdUoLdcsGFlCwY4+xIUAZGDJ1Q9uiwmQ+DA8YmRyBExNOWxeSU5eS2DIwQwWAXjS+JUEqFlvSYaJ/BhrHHzRinkkRjAxKGitda3OB6onJgPPvss0yZMoXrrrsOj7dtTa9evfj5559jOrgmQ22dPNws4ulUD+6WsbkJ6ZCBEUsNjEARTzMfBhvGJkcgxB6L0JI+CC6bc9MCyFEDw9iAhBBij/X9UZn5MARg7HEzxul+4qb7RbJhNDAMXqJyYGzbto3+/fsHbUtJSaG62tTmA7UuiJWsDhHxdI2uQUg00uOesbmJICdUDNPWTAmJIQqMTY6Az36FE/F0tHkuusakRATeS7zbDAnAfm83C2aDA8YeN2NMpz53EbAWF6YLSVITlYhnt27dWL58OQMHDvRvW7lyJd27d4/ZwJzYunUrc+bMobS0lCuvvBKAv/76i1dffZWMjAz69+/PgQceGNcxAbWnJLs5ouZUD15VmbjxuBVHIdYYLE4cFK+VuVkabBibHAH7gtNuj2vLmEs0psbXPTjd20HPhzfSbjAYe9yMCWmj6nHX/SLZiJegvsH1ROXAOP3007n77rsZNGgQFRUVPPnkkyxdupSrr7466gM9+uijLFu2jMzMTO6//37/9uXLl/PMM88gpWTUqFGMHz8+7D46derE5MmTgz7//fffc9RRR7Hvvvty9913J8Y4S1vNtV0Uzs0XXMgDs0mPc0QphzmMoYhn4LHMfBhsGJscAae0/8BrNUQjQ7hLxFPV3C+EZaF82wzxx+m3FLjdYMDY42aNU1mvuf4Th5OgvpmPpCQqB8bee+/Nvffey4IFC2jZsiU5OTnccccdZGdnR32g4cOHM3bsWGbMmOHfJqVk5syZXH/99WRnZzNt2jSGDBmClJIXX3wx6POTJ08mMzMzZL+HHXYYr732GkuWLKG4uDjq8TQq3sWlCLyo7BE/y9aFxC0LUvPAHBUqsDNALOfQK+An3Nri0eAKjE2OgN1BYVnB2VJNKgPDLNASSrgSEjf9XgwJx9jjZowya2RXYe6PBi+1OjCklNxyyy1cd911HHfccfU+UJ8+fcjNzQ3atmHDBjp37kynTp0AOPjgg1m8eDETJkxg6tSpUe03MzOTc889Fykl9913n+N75s6dy9y5cwG466676tyfOyUlJeJnilu2pMSy/O/J9XhomZZGW+/f21NTkGlpZOfkINNS2Qakt25N6wT2CfedU3lGOjuAzKws0nJy2N6iJbK0hOwm2MO8tnlqCDtSUqlOTSU7J4eqsiLygYw2bWjZyMcratmSUu9vKSUlhZS0NKyUFLKa4Hw4Ecs5SgSJOB9jkyN/71WlheQDbTPb0TInh6I2rSmVyv/+Xelt2Am0y2pPak4OO1q0pCrAfieCwPPZJgRprVuRmZPDrsxMPdbMtqQ2seumOVzrsiiNbUCbjAxSUlJok5FBMZCdlYXVJj3Rw2swzWGO7MT7nIw9bt6/I9/6vkOHDgDkpaaS2iKNzCZ2vs1ljrZ7PKi0FrT3rpEBWrdqRXozOLfmMkeBxPKcanVgWJZFbm5uTFS3CwoKgjzU2dnZrF+/Puz7i4qKeOmll/jtt9948803mTBhArm5ubz55puUl5dz7LHHOn5u9OjRjB492v93Xl5encaZk5MT8TOypBiE5X+PEoJdZaVUeP+u3rULqiV5eXmoEu0BLy4qpLSO42hMfOektu8AYGdhISIvj+qqKqioqPN35AZqm6eGUL2rDKTS39nOnQAU7txJcSMfT5aU+H9LOTk5VEkJ5bua5Hw4Ecs5SgT1OZ+uXbs26JjGJkf+3lVBvh5bcTHFeXnIXeWgZI199l6/O7w2T1ZVoSoTa/MCz0dWVVJeUaltjTdiuqOgAJHZtK6b5nCtq6JCAEpKy2hTVUVJWRkA+XnbEGW7Ejm0RqE5zJGdeNtkY4+b9+9IFheDEP7zq5YSWVrW5M63ucxRdUUFyGr/GhnLorS4mF3N4NyayxwFEkt7HFUJyYknnshTTz3FxIkTQ1LiLF8KTz1wMvj+1HkHMjIyOP/884O2dezYkQsuuKDeY2gUpKpJV4bQGjknEU+31Fz706m9gmRuS6d2C0rVlAHFMm0tMD3OdyyTHmewYWxyBJyEiaWtpC/wdbepynvLyACTIptolK3NuOkKY3DA2ONmTKCGHRgRz0Qjq2ueV8BbZm26/SQjUTkwnnjiCQDmz58f8torr7xS74NnZ2eTn5/v/zs/P5+srKx67y9hKIeHTlWLiKdbDKBD1wuzOHMgcA5FDOcw5GZp5sMQirHJEXCyaUqhlEIIUfNQ4HcSCPd0hYJgh3csbY2hdpz0UsDMhyEIY4+bMYH2GMCytCaaITFICSmpNX+bNXLSEpUD45FHHonJwXv27MnmzZvJzc2lffv2LFy4kEsvvTQmx4op9qi5sLSXMOh1m4inWy442wJNWKZtpyPxEg6yO8OEyx6uDK7A2OQIOHWFAm93D0/TqZZyNwAAIABJREFUyMAwImXuIKSFopkPQyjGHjdjQtb3Zk2WUJyCfGY+kpKIDowdO3bQrl07v3hNQ5g+fTpr1qyhqKiISZMmMXHiREaOHMnZZ5/N7bffjpSSESNGsPvuuzf4WHEnsMUmhHoElQwu0QD3LICc+twb73Io8WrdFFJC4jHzYfBjbHIUSFvaf6DNtRwcGJbL2uJJh/uFWaAlBtNG1RABY4+TAOXwwGyu/8RhyqwNXiI6MC677DKee+45/9/33XcfV111Vb0ONGXKFMftgwcPZvDgwfXap2sIbLEJziUkvpQnl6UEK6cIk1ksh+JUBhSPDAzLgqrKxj+OoUlibHIU2Nve2bPeQtriuaymOVADwzwwJxZl11PxOpbMfBgw9jgpMA/M7kLVojloSBoiqgvZBYRWr14d08E0WWq7oOL18Fsf3J5O7RYCHQuxrIMOfHgBMx+GIIxNjgInEU+oeRh1u80LsjUuKzlMNkJ+K2Y+DDUYe5wEhJT1miBfQjEOJYOXiA6MSGrHhgBqu6ACRICEEO6qoXMSKTPGIBTHuvQYzGHIb8l4lw01GJscBU5lcVBzHfmzzgKcBG6xx+AsGGxsQGII+a2Ykh5DDcYeJwH2oJIps04sTg4lc39MSiKWkFRXV7Nq1Sr/31LKoL8B+vXrF5uRNSXsGhjCQgVG551EgNxywYWkU5s2qo4EzqG/DCgGNzEnQVizWDZ4MTY5CuxlcfayPX9ZQMDrbrHHYMvA8NRsM8SfcF1I3PR7MSQMY4+TABPxdxdOOnHm/piURHRgZGZm8thjj/n/Tk9PD/pbCBEz9eUmhZMGhl3E0+7BdcsF51+geRfKblvMu4V4diExglGGMBibHAXRZmC4NevMzSWHyYb3tyQCu3SBmQ8DYOxxUmA6w7kLKRFmjWygFgfGjBkz4jWOpo20a2DYLijHNqsuueCcFvNuca64icAsm1g+VDh5+818GLwYmxwF9rR/u25ByOvuucaUUkElh0ZzIcE4/VYgNtl3hiaHscdJgFPbTmOPE4eTQ8nMR1ISUQPDECVOnSPsXUjcagDdHo10C4FZNrF2YAiXOrsMhqZASOcIm26BY+tol1xj4bJHTMQvMfjnI6BLF8RG/8hgMLgPNwcgkxET5DN4MQ6MxiAkA8PmEVTKn4IKuKtVqV8DI2CBZoxzKE7CerGYQ5txFsY4Gwx1ozbdAqcMDbfY4zBjV8YmJwb/b8VbYhnLDlQGg8F9OAUgzfWfOBwDwi65fxviinFgNAZK1mhIQKgTwM0ink5t4twyNjcRpIERu7RuFZg+DsahZDDUFbtT1t7Jwy7i6aZrLJwAqVG9TwxGxNNgSG7sazKTgZFYTAaGwYtxYDQGTm2WAi+oJiHi6cJ0ajehVE3LtFi2NjSK1wZDwwj30OmzuU5RdbdcY2HLX1wyvmTDXtJj2toaDEmFcmyjaq7/hOHgUFLGwZ+UGAdGI6Bq60vs5ho6p5prs1gOJWAOhRCxm0PT49pgaBjhhBf9JSTexU7gQ6lbbF7YiL9JkU0IIfNhRFUNhqTCMeJv7HHCkNXu1RQ0xBXjwGgM7BoYThkYbo2q26ORwmMWy044CrXGwOsbUt9nSnoMhrqgQrIYbA+dvtdFsDCjK3QmasseMcSXcCU9Zj4MhuTAdL1wF05BPuNQSkqMA6MxcHRQROhC4qYLLkwbVeWW8bkFx9KOWIh4VtuO43HPb8VgaAqEbX2pgl93Y6vS2lrAGuJLiDPM6+g382EwJAfSQePOODAThymzNngxDozGIMRBIWwZGHZhRhd5cO0RJhPxc8ZJiDUW35GjYJSp7zMYoiak9aXtodOp8xK4w1EYto2qsccJwYh4GgzJjZOGnbn+E4ddk8RkxCQtxoHRGNRWIuKkgeGWBambo5FuQjm1boqRiKdp2WUw1B9bFoPwOTL8Ip4KhFUjyuumh1J7BoabxpaMmIwYgyG5sbe2d9P6PRkxnfoMXowDozGwa2DYhRfd7MH1GmJhIkyRiVfampQ1kWMw3mWDoa6EOGXtbVSrQx3K4I5FaW1jN8SXsJokLsjWMRgMscc8MLsL00bV4MU4MBoDR4FHewZGQA2dmzpLSAfjDGaBZieeDoyQDAwzFwZD1PhFOsO1UXUQXQZ32ORw5S1uGFsyomwda8x8GAzJhdFccBdmPgxejAOjMahN4NGpj7RbHkrt0UizQHPGUYg1Dm1UjXE2GOpG2CwGr811usZ82xONf+y+rlDGoZxQZDhnmNElMhiSAnvbTiGMPU4kUtZ0TQR3leQb4opxYDQGdn2E2kQ8hXBHyz5wdr74thtqiFcaofEuGwwNI0TE02fTvA+dToK84I720eFEPI0NSAxmPgyG5MaUkLgGpZQ3AOHSknxDXDEOjMagtodONwszOmUW+LYbanD6nmLmwHBpuZHB0BTwCy/6shhsIp5KhdpjcEdU3WhguAp/oMHektfMh8GQHISs3z3m+k8U9vJQMA6MJMY4MBoDFVxTLSyPgwZGBJHPRBIuA8MNi3k34VRqE4s5dBJ8dYuzy2BoCvidAPYMDO/iR4YR8XRDBoZpa+0uwoh4KpNCbjAkB07C6sYeJwa7Pfb939jjpMQ4MBoDp5TkkC4kAVF1N3kMTQZGdMRL+diUkBgMDaNWEU8Xl815x266QrkEewmJuT8aDMmFUwa1uf4Tg90eg7sCwoa4YhwYjUFtBs7x4dclHkOn+j5wRzTSTTgJscbiOwrRS/FG/IyBNhiio9Y2qmG6kLghqhYydhG83RBfwrVRNfNhMCQHdtFn88CcOMJlYEiTMZ6MGAdGY+Bk4LwOCn+qqbCloLnFAIYtIXHJ+NyCk2MhRhkYwqk+3y2/F4PB7fhbkUaZgeEmJ4FtgSaMPU4s9pIeN/1WDAZD7HFzADLZsN/bff839jgpMQ6MxkDaI3oBDoqwNVsuueDCtRQ0BsGPVj4OzVRRsfD6hnu4csvvxWBwO7VFzZ0y5sAd15hdgBRil+1lqJ2Q35J3XtzwWzEYDLEnXgLuhtoxGhiGAFISPYC6sGjRIpYtW0ZhYSFHHnkkAwYM4K+//uKDDz6gqKiI/v37M2bMmPgPLMQJ4InswHCTAQwraOeS8bmBsGlrscjAsPUc9y2YzQOMwYW40iaHi5r7FjlOGXPgjmvM5xS1t4kzosqJwfebMSUkhiaAK+1xU0epmkw4MPY4kTisxYVlmRLrJCVuDoxHH32UZcuWkZmZyf333+/fvnz5cp555hmklIwaNYrx48eH3cfQoUMZOnQoxcXFzJo1iwEDBtCtWzfOP/98pJQ88cQT8TiVUJw8tP6WfQ4pT27KwAgXjTQGoQZ7Kz3f/2PShSSMJom5YRoamWZrk2t76HRz2ZxTmzg3ObyTDaOBYYgTzdYeN3UchdVd4OxORhwDwi4qyTfElbg5MIYPH87YsWOZMWOGf5uUkpkzZ3L99deTnZ3NtGnTGDJkCFJKXnzxxaDPT548mczMTADmzJnDkUce6X9tyZIlvPXWW4wdOzY+J2NHSZuHNooSkqqq+I0vEm5W5HcLTsrHsUpbM/NhiBPN1iZ7r5WwnTxC2l5bqMDXE0k8s70MtWMv6XGTs8vQrGi29ripY29tb9qoJg57diW4KyBsiCtxc2D06dOH3NzcoG0bNmygc+fOdOrUCYCDDz6YxYsXM2HCBKZOnRqyD6UUs2fPZuDAgfTo0cO/fciQIQwZMoQ777yTQw45JORzc+fOZe7cuQDcdddd5OTk1GnsKSkpET+TJyxSWraknfc9ha3bsAtFTk4OsqSYbUCb9HTaeF/f3qIFSkna13EcjYnvnHakplKVkuo/v12ZmewE2rXLJDWB46sPtc1TfZFlpd45zPDPYX5aKlZKClmNfLxtAtJatyYzJ4eUlBTS09MpArLbZWG1zWzUYyWCWM1RomjK59NcbXJxq5aUWJb/9cqi7RQAGenptPTZvNQAm9fWa/MyE2fzfOdTsSWD7UBmVhZp3rHkejy0atmSjCb2O2vK14aPktatKAayvfY4OzuHbUB6q1a0buLnBs1jjuw01XNqrva4qeI7p21AWiu9JgMoTk+nRMomd77NYY6qhSIPSG/bltZem9yiVWsqoMmfGzSPObITy3NKqAZGQUEB2dnZ/r+zs7NZv3592Pd/+OGHrFy5ktLSUrZs2cKYMWNYvXo13333HVVVVQwaNMjxc6NHj2b06NH+v/Py8uo0zpycnIifqa6qRFZW+t8jy8tR1ZK8vDxUSTEAJWVllHlfr66qgoqKOo+jMfGdk9y1C6WUfyyquASAHfn5iDZN64G5tnmqL6pUfydBc1gtYdeuRj+erKqivLycvLw8cnJyKC4rAyA/Pw9RUdmox0oEsZqjRFGf8+natWuMRtNwmoNNlsXFIKwam1ZYCEDRzh0U5+VRXVYGMsDmeW30joJ8RHq7Oo2jsfCdj9q+HYCdhUUI3/iAspISypvYddMcrnVZVARA/vbtdMhoS/4OPT/FxUWUNvFzg+YxR3aak01uDva4qeJfI1dXUV5Zs16Xu3aBUmzbtg0RmAngcprDHKl8Pf7iklJKvWvk8soKVHVVkz83aB5zZCeW9jihDgzlkIIfySCMGzeOcePGBW3r27cvffv2bfSx1YlIKsUuF/FUISULputFCGFLSGLTRtWUkBgSRbOwydIh5Rdt64T+j80ee2o+l2jC2Ro3jC0Zsc+HsceGONIs7HFTR8oaMXWoWesrGdwtyhB7/CLXtvkw9jgpSWgb1ezsbPLz8/1/5+fnk5WVlcAR1ROnVqQ+0UXfv24W8XTrYt4tOIl4xuqhwrS1NSSQZmGTwwrheh8GQoSLbV1KEkk4h7db7hfJhn0+zP3REEeahT1u6tgd4mZNljiMg98QQEIdGD179mTz5s3k5uZSVVXFwoULGTJkSCKHVD+kCo34+VSKpU0R3/d/t6gY2wWKjHEOxdFoemKYgeHg7TfzYYgDzcIm15bFFOK0ddE15iji6XHH2JIRu/Pa5+wy82GIA83CHjd1wjnEjQ2IP+FEPM1cJCVxKyGZPn06a9asoaioiEmTJjFx4kRGjhzJ2Wefze23346UkhEjRrD77rvHa0iNh2MGRqQSEhepGNsfmI3Keijh5rA6Rg4MR4eSaaNqaFyarU1WDiV9ELYLiavK5pwWaKZNXOIIycCwZfMYDI1Es7XHTZ2QEnEXZewlG/YW6eDNUDRzkYzEzYExZcoUx+2DBw9m8ODB8RpGbAhJSQ7IsPBdWG71GMpq412ujXi2NgwXHTYG2tDINFubHC4DI9Cp7NYMDKcFmpvuF8mG0cAwxIlma4+bOkaXzD3YW6SDuT8mMQktIWk2hIjC6QwMpVSA6EzN68JNNc0mPa524unAUCrUGRY4BoPBEBl7WVxIBoZ9QeoiXYNwtsY4MBODNyPOJ5wojD02GJILpwClb7shvri8KYIhvhgHRmMQKeLnc1TEQwCyPoRLj3PL+NyAUxZNrIxmbdFjg8EQGWl3ytpsmotTgpW/hCRQB8eUkCQMe0kfuOv+bTAYYotTgNK33RBfwgnqK1NinYwYB0ZjEFJT7fPQqvAini5YLAMmPS4awkZF41hCYubDYIiOcJ18fDbXzZ1+/Bl7gfeTGAkGG2rHbo/Bm2FpFswGQ1Jg1sjuIWwXEpc8TxniinFgNAYhD50BonBOF5ybImr2CJPxLofi5PWNQQaGUipEgFCYDAyDoW6EZFjYSkScukaBO64xf7aXSzP2kg17iSWYBbPBkEzUVpJoiB/xDCYaXI9xYDQGdtX7QA+tT3TGnqHhlgsubD24WaD58RtNW7eWxr6BhRPwCxyDwWCITEjEzOagaIIaGMot94tkQ8rgch5w1/3bYDDElrD3E7NGjjuOwUQXBYQNccU4MBqDaDQw3Co6E3bsJkXWj/IpH9c4oUQsFrHhvMuBrxkMhsiEq1kO1MBw6zXm9oy9ZEPJ4HIeMBkxBkOSoLNiVeT7iSF+RBC5VsahlHQYB0ZjYNfACDRw8exgUR+kDM4sMCKeoYQTDmr0DIwwDy+BYzAYDJGxl4jYMzBcLOIZN1tjiA5ZHTwXYBxKBkOy4Ki54MvYM0G+uONviuCgOWiy4pIO48BoDCJF9MLVNLthsQzuFrRzC+GEgxp7DmUE42zmw2CIjpAMDFtZnJttXriMPbfcL5KNcBoYZrFsMDR/wpUsgLHJicCpnNtkxCQtxoHRQPwpZk4aGEqF6VvsoghOmB7Xyi3jcwPxmsNIJSTmZmkwREcYm+aPmIVxOLvC5oXN2DPRvoQQrguJG34rBoMhthhdMncRLpgIZj6SEOPAaCi1pf07pgS7qC1eWA0M88DsJ6ElJMY4Gwx1QYVkYNhFPMOU/LnBJru95DDZsDvDQN+/zXwYDM2fiEElYwPijtGJMwRgHBgNxZeWHC7t3/9Qamvb55aLTcrQDine7QYv4eogY5WBEah6b+otDYa6ETYDQ9W87tYFkFMZmSkhSRxOGRjGoWQwJAeOJSQuul8kG47Z0GY+khXjwGgokaLmKlwGhosWQPYFmjEGoYQzmo3tVAhXqgLG228wRItSQQ5jYY+YKYlwa01zuJRlY48Tgz2bB9wVgDAYDLFDhgYgQ+4nhvgRSSfODfdvQ1wxDoyGIsOIdEL4LiRuiqiFFbQzEX8/EVo3xeQ4jhkxLvm9GAxuxyntP1C3oClkYLhVMynZCJeB4Zb7t8FgiB3+rheBWbEuul8kG04OfhN0TVqMA6OhKO+DfrgLyrELiYsWpOEyMIx3uYZwStSNroERQTDKzIfBEB1OUfPAzhFhHRgucNo6lpGZrhcJw1EDw2TEGAxJgdFccBcRNUlccP82xBXjwGgojhoYASnJjhE1F4l4urmloFvwOxZsmRGNPYfmZmkwNJzadAvCini6IKruc6LYbY25/hODlMFzAcahZDAkC46aRC4qOUwyVDgHP5h7ZBJiHBgNpbbOEcrBALouA8PBGBjjXEO8dExkLdk8BoOhdhxLSESNTXNzCYlTxp5p25kwlL1FOoCwUG7I1jEYDLHFtFF1F+Ec/GDKrJMQ48BoKI4aGL7OEYEaGAFOAu97lRsMoJThO6gYNE5zGMs2qk56KibiZzBEh03EEwi+Xu1OWzdF1MLq7ZjrPyEYDQyDIXkxWbHuwrEk36yRkxXjwGgoDhoYwgroHBGxZssFiyDThaR2nHROTAmJweBOZHVkEU/lYqet16YIuw0w0aXE4NiFxGTEGAxJQaSsWPPAHH8ideozNjnpMA6MhuKkgeEo4ulQQ+eGC86ebu2mxbxbcKyDjEUGRvh0RVdk6xgMTQGl6ifi6QYRsHCikWaxnBiMiKfBkLxEyoo1NiD+OJXsm/lIWowDo6HUlmHh+Lo3fdkNi1L7Yt8Yg1DCORYaXQPDIfrqJmeXwdAUqO2h014253c4uyDLwTHi7yLNpGRDVkcWhDUYDM0Xadp2ugrHDAyTEZOsGAdGQ6mlL7FydGC46KE0bDTSBWNzCY5zGAsdk3BioYGvGQyGyDjpFgQ6AZQKI1zsgmvMYezC8pjrP1E4ZfMYh5LBkBw4RvxdpJmUbDiukT3BrxmSBuPAaCi+GjnHh85q5xQ0N3lwVbXxLtdGvLQp/MdxaYtHg6EpYG+TCsHCi24um3N0vpgSkoQRVsTTzIfB0OzxZcWGKxE3xBcHh5JwU0DYEFeMA6OhRKrJCltC4qKHUjcv5t1CpMyIxpxDv7MrMDrs8y67oD7fYGgK1Jb2r6TNSeiiBZC9vAXc1XY72XCcD1NCYjAkBY7rexPxTxiRSkjMfCQdxoHRUBxFPAMWxOEEIH2vJ5qQLiQBHVQMGqebWCzmMKKzy8yHwRAVSkXuQhLOaeuGa8yxZME8MCcMe8td0H+74bdiMBhiS6QScGMD4o9ZIxsCSEn0AOrCokWLWLZsGYWFhRx55JEMGDCAtWvXsmDBAqSU/PXXX9x2223xHVTEDIyALiRuVr0PTMcSwiyY7UQ0mo04h6ZFlKGJ4UqbXFvav10o000inmHH7oKxJSNKgpUavE0IqDb22OA+XGmPmzL+AGSAE9NNAchkwykgbLno/m2IK3FzYDz66KMsW7aMzMxM7r//fv/25cuX88wzzyClZNSoUYwfPz7sPoYOHcrQoUMpLi5m1qxZDBgwgH333Zd9992XRYsW0bNnz3icSjD+DIwwZRhOfaRdcsEp5TB2MCmyduIlrhnJOJsHGEMj03xtsgzu5AO2DIzgDA3ttBXuiOCYtp3uImxbW2OPDY1Ls7XHTRknXTIT8U8cEbOhXRAQNsSVuDkwhg8fztixY5kxY4Z/m5SSmTNncv3115Odnc20adMYMmQIUkpefPHFoM9PnjyZzMxMAObMmcORRx4Z9PpXX33FpEmTYn8idrwReOF0QQVmYAgXRtWdIv6+v41xriFeIp6mx7UhjjRfm+wk4ql1JJRSzq1K3eIkcGyjapnFWaKQNr0UcM9vxdCsaLb2uCnjuH6v6UAnHD5iiCH+gLFLu4gZ4krcHBh9+vQhNzc3aNuGDRvo3LkznTp1AuDggw9m8eLFTJgwgalTp4bsQynF7NmzGThwID169PBvz8vLo3Xr1rRu3drx2HPnzmXu3LkA3HXXXeTk5NRp7CkpKWE/U1lUQAGQkZlJS+97KvKy2A60Tc+gurSYIqB9Tg6erGwAytpmUgi0z2qHp45jaSxSUlLIaZ9FLtAmI4M2AePI9Xho1aIFGQkaW32JNE8NobRN65o5bNdeb8toSxGQnZWFlZnVKMep2JTBdiAzK4u0nBxSUlLI7tCBbUCbVq2C5qipEqs5ShRN+Xyaq03OE5DaqhWZAa/npaaRkpZKZvv25AKt09NJD3h9q7Bo1bJlwmye73x2pqVRYTu3wtat2QVN7nfWlK8NH/keC6tFS7K89jgnJ4ftLVoiy0rJbuLnBs1jjuw01XNqrva4qZKSkkJmhl6Ttc3KooX3/Kp2FZMPZKS3oVUTOufmMEclrVpSDOR07IBITSMlJYW2WVnsADIzMkhr4ufXHObITizPKaEaGAUFBWRnZ/v/zs7OZv369WHf/+GHH7Jy5UpKS0vZsmULY8aMAeCzzz5jxIgRYT83evRoRo8e7f87Ly+vTuPMyckJ+xlVUABAUXExxd73qKIiAAp37kAVFQJQsGMHolp7D2VJid6Wl4cQiZmCnJwc8nK3AVBSVkZZwPkpoKykhPI6fk+JJtI8NQRZqOezYPsORJX28spSPYf5eXmIysaJjqod2wHYWVSEyMsjJyeH/AK9raSoKGiOmiqxmqNEUZ/z6dq1a4xG03Cag02urqpCVlQGvV4tJdVlu8jbpm1eaVkZuwI/bwnKSooTZvN85yNLS1Eq+PuQFRWo6uomd900h2u9uqISqqrI89rjvLw8qquqoKK8yZ8bNI85stOcbHJzsMdNlZycHHZu1+uvQu+aDEDt1Gv6op07KWlC59yU50ht2Yj69nPUws9AWOQVbEd4POTk5FDofd7auWOHf46aKk15jsIRS3ucUAeGcqgjFfbU3wDGjRvHuHHjQrZPnDixUcdVJ5w0MIK6kDh0KXFLypNPgNLUXEdGRdIxaZzvSe3cjlq1TP9h2toaEkTzsMlhyjCUdC7T8r/uAl2DcOUtib5XJCthS3rMfBhiT7Owx00Z6bBGdksJeJKgtucjb70MKqtg3/2wTjoH4QkUVfXOR0V5YgZoSBgJbaOanZ1Nfn6+/+/8/HyyshonHT9uRBTplLU8/MZmwayWfIV8ZabjzS8Io4ERHTHuPS1nPYq8+izUp29D957QKcD7mJoKbduhln+LMjdMQ4xpHjY5gsaFkyBv4OuJRspQ/Q4h3DG2ZMSIeBoSSLOwx02ZiF0Em6YNkJ++jXzrBVQTeeBXa5dDRQXWtHvwXH4LYv+/B7+hczdo3Qb5wmOobVsSM8gkRkmJWrkE+b/7Ub9viOuxE+rA6NmzJ5s3byY3N5eqqioWLlzIkCFDEjmkuqMcMiwCRTwjtcaMgZNAKYV8ezZq7tuohfNqe3Po2KDJR5hqddzUFcfuIF4PcAPF9VThdtT8jxCDD8K6+RE8NzyASG/rf11YHsQJZ8Iv62qfT0PMUL+uR+VvS/QwYk6zsclOToDaMjDcYPOUqrEtPoxDOXE4dLQRbnF2GZo9zcIeuxD58lPIOc/VL8hXS1asKi1BfvImqrS4EUbauKifVqNenYl6/1XkzZeh1q9J9JBq58cVkJEJe/RyfFm0bYd15W1Qvgt5zzTUlo1xHmDyotb+gPzPRciHbkF99yXqy4/ievy4lZBMnz6dNWvWUFRUxKRJk5g4cSIjR47k7LPP5vbbb0dKyYgRI9h9993jNaTGoTYD56BiLCwLBbHJwPjjZ9iyEVq1Rr0yE9V3EKJdtvN7w2ZgeMJ6l1VpMeqVmYgDhyP2HdCIA2841XlbqZ5+C/z1G+L4MxAHjYiYbhk1To4evxOqYXOoflypd3fk8Yiu3R3fIw4agVrwCeqN51CDDkS0yWjQMZsi6qfVqAUfI/55FqJt/CJQqqIc9fqzqM/fh30H4Lni1rgdO9Y0X5tcHSYDQ0WwebFto6p2lSFatqr9fWHHbh6YE4KbO9YYmhXN1h67DLXxD9S8d/UfrdMRY0+I8OYIre0dbIDK3Yx85DbY/CeUlyOOObmRRl0/1NZN0C4b0aIFqqIc+fwjkN0R65TzkS89ibx3GtaF1yIGDkvoOMOhlEKtXYHYp39oa/QARPeeWFfehvzvDcj/XARdd0fsuTfi6JMQ2R3jOOLEoJTSGdybfkf8+2KEPQgSo2PKFx+HqkrEuVeivv0CtW5lzI8bSNwcGFOmTHHcPnjwYAYPHhyvYTQ+ThkYVk2bpYjlB6p+0Xv102rUV58ghg2HfQcEXdjq2y8gJQXr8luR905DvvAY1kXXOT/IR0ynDh2bKtyBnH4j/Pkramf5kXowAAAgAElEQVQBHpc4MJRSqK/nkv/a01BdDR27oJ6ZjlrwCdZZlyI61pRkyK8+heJCrEg3LTuxbKP64wpo1Qb26BH2LUIIrFMvQN56OeqtFxCnTm7YMZsYaslXyJn/haoq1Mbfsa66A9G6TeyPu20L8uFb9WKk027w0ypUWSmilbOSe1OjWdtkx7R/6WyvIaYZGOr3Dcg7r0acfTnW0MMivzmcfod5YE4MjvMRW2eXITlptvY4gajyXahXZyIOOQKx595627x3IDUN+gzUQaGOXRCDD3begXQKXjlr2Kl1q5CP3an/6LK7Fp08+qTGCaLVA7lwHurZhyArB+vk8yjZ+hds3Yg15WZE30FY+/RH3nk18tWZWP0GI1JSEzLOiGzdBDvyofd+tb5V7L4n1rR79ff+63qdEVBWgmdSaLee5oSqrEA99zDquy/1hq7dEWMmxP7Av62HLRsR/74Ya9jhyJ3bUauWorbnI7LCBM0bmYSWkDQL/BoYDqIySoUpP6j/w6/aVYqceT/qm8+R029E3jAZ9cMi/ZqsRi1eAP2HIPbcCzH+NPhhUfi0nqKd+t8Umx/LoeZa5eci750GWzfC3v1g3SpU+a46jz/seUlZr9IPVbgdOeN21HMPk7Ln3lg3PoR1/QOIf18Mm/5APnEPqlrPkdq2BTX7cdScWdozHS2RHBhhFrJKStSOfMfXgt639gfYp1+tHlPRbU/EiH+gvvgQ+fozqKrKqIbe1JHz3kM+eS/8bS/EuVfqOX30DlRlRcyPrea9C3lbsS6/GevfF2vn2JrlMT+uoYFEcgJEyjqLlQNjwSdQXY166Ul/V6qwOGlg1BLxV0rpzA1Do6JKS6CyMtQZ1qEz5OUmRUmZwdCUUS89iZr/sV4HlpWiigpR336BOHA41gX/Bz17I2f+F/Wbc2cXtX6Vvv4Dsz4d1u+qYBtyxu2QkYl17b2II4+H3M3wy7rGOQ8pUT8sRlVGt+6T8z/Wzou9+kCr1shH76DkjecRB41E9B0EgGjZCuufZ8G2LagvPgx/7JIi5PuvIj95q1HOJWT/VVXIBZ842lP14wo91igcGACiYxesY/+F57IbEYeOgR8WazvuEpSsRq1ahnziHqofugW16Y+G7a+kCHnvtajvvkQcdyoMHIZ6a3bdnm8cxii/+7JWjRT1zWeQmubXJBH79Nfbf1pV72PXFePAaCiOGRjeh9GffwTfg2YjiQCpt2bD9nysq27XD3SpacjH79YG+McVsHM71rDhekijj4F+g1GzH0N+/n7ovj56A9LSEP32D37BsnTqvFKoqkrkx3OQN16i933ZzVhHn6TPa+0PofuU1civ50Vd/6ekRM7/CHn5aah3X6rbd7FyCfKmS2H194iJ55B1y8OIDp0RloV16Bisf18Ef/yC+vw9AOTrz+jvPiUF9eHr0R/IIVNF1OKEUl99irz6LOTsx8M6etS2LZC3FdE7ukwWccIZiMPGoj5+U9f6uUywSBXuQFVVNd7+Nv6OeuUpGDAU6/JbsIYdjjhrCqxbiZr9eKMdJ+zxf1wBvfZF9BkEPXtD63TUisUxP66hgUTq5BHOgSFEvcvB1O8bkDMfQP31a+hrlRWoRQv076esBPXqzFp2ppydL4TX9lGv/E/bwSaIkhKVuznRwwhC/biC6hsvRk75F+wsAFvJnjhEt6ZUX4Zf9BsMhsQiv/0C9fVcGHwwFORp7Yf5H0FlBWLUsYjUNKwLr4WMdshH70QVbg/6fPWOAtTn7yOGHYZon1Pzgm3tp6REPvsQyGqsS25AdOyK2P8gSEtDfft5o5yLevdl5CO3oj54rfbznvceatYM6DsYa8rNOqD3z7NIGzQMMfHs4Df3HawzUd57BVVSjNpVhvzsPeSc55DvvIR88XHkNeeg3npBl9IWNG6LT5Wfi7zvWtTzj6A+dDi3H1dAVg507FLnfYthh0NVJer7b0KPuz0f+eYsVH5ufYZdZ9SWjcg3ZyGnnod88CbUjz/Ar+uQt05BfviGP8hap32Wl+sM4T9/wZo8Fevok7BOnQSpqcjnHqq36L9a/BXqf/ejloV+b/73VFWiFi1ADBxWkw29+990NrlxYDQhnBbEOZ1g0IGoz9+vMTiN0IZJ/foT6rP3EIcfhdinP9aww7V4TVttgOXcd/UPaL8h3kN6sC68TnvlXnwC+eEb/n1V/v4zatF8xMhjEO3aBx+oZStYuhB56cnIaeehXn8WevfHumE6Yu++2qvbshVq5ZLg8SmlMxyefRBl89aqn1aFLPBV7ibkvdNQsx4FJVGfvFV7hNL32WXf6FrDzPZY1z+AdcRxoTVygw+G/kNQb72IXPgZLPsGMe6fiEOO0Glm0RovpaOiwimLZstG5FsvIG0ebLVyqb6Bffkh8uZLUb+Gevj93uV9o/Qup6ZhnX4h1qRr9HEfvjWs4Wt0IdNaUD+tQl5zDvLGi1E/LIp4fLXlL32TrWWM8t2XoEVLrDMvRaS1ANBOjBHjUN99gSqpu0iW2viH9nzX4ohQRTth4+9+r7LweBB9B6FWLjHdYNyOdBDxTEmBX9YhH7pF/90IXUjU9nzkzP8ib7sC9e3nWgXd9ptWy7+DshKs405FjD1B252VS/QCwHbtqvJd8OtPesFmHxs411xvWKMzhTb/iSrcUafxJxpVWYl66j7kdRc42sfo9lER4shVVZX6e7HNhZz/UVROX7XgU9iRjzj2FJ1uffy/g14X2R1gwAGorz6NOiLaHFE7CpL6/A3uRW3dhHrhMejVB+v8qxFjJ+jr9cM3oM9AxG5ab0y0bYd14TQoKUQ+dndQZmvpnFlQVYU42qZj4bu35G1FVVWhvvgA1v6AmHg2wvugLVq2Rgw8UD8MVlWiSoupnnGHdnT//GOd1mfqh8Wo916G1DTUF++jyp0j434B/5efhIHDtLZFahoiJQVrzASy/hMsEK9PRWCdeBaUFiMfvQM57VydtfLJ26h3X0J9+RFi4DCsi6/Xa/SFc6Mf964y1M8/hn997Q/IWy6DTX9ATieULVtFSYlatxLRu3/9ynD23Bs6dK4prcCb7fHJm8gbLkR98Jp+tokxctYMnSn/4Ruw2x5Yk67BuudZrJtnwH5DUXOeq3vwtqoK+cTd8Ms6rHOv8pdAiXbZiInnwvo1qLdfrPNzgFIK9fEc/UduhCyOlUuhpAhx0Ej/JmF5oNe+qHXxc2DETQOjOaB2FEBZCaJLgIiSQwaGsCysydNgxRLkq/+DXWXOD79RLJjVrlLYsBaVu1mneWVmISacXnOsjEysi65D3v1/sHKJrvVLTat5PTUV64JrtCbEnOeQ27chTjqPkhefhJatEGOPDzmmdeG1unXRX7+hCvKwTj8Ssd8BNftMSYU+g1ArlqCU8p+bevdl1PyPISXV/3AO3qyMx+4EYWH9ZzqiXbZWan7wZiguQpx5GWLPvZA3XYKa+3bQ+Tl+JyuX+ssKrMtvRrR01iQQQmixopsuRj0zHbI7Io44DooKUfM/Rn08B/GvSbXOQdiUdEA+fpf+O60F6u+jEamp+gF3/WrEAYciDh6lH3KeuBvrtseC6wx/XAGZWdClbqJcYv+/Y1keXUqx4GPEcN33Xf3+M+qTN3VaWu4mxP6HIM68JKQ8RVVVIu+/Hmv0sUEtqVR5OSgZldhg0P42/o585HbI7ghCaMfSHr10nWlJEWLQQVgTTqt5/3uv6JS3PXpCr32d9/nnr7B0oRZhskdADx6F+vwD1LKFOk0wmjFKiZr3LmrO89or36p10G86hJ9W62N5HRgA7HcALF4Av/8Me+4V1XENCUCFCmFa40/XzoM/foHM9sE2HOqsa6BKipH3TIUdBYijToD0TNRrT8P332jHqe99C+dB+xzYpz+iVx/U0oUBThSBOPokrGP/pd/7xQdQtBPLbpMDHd6emmtZVVUhX3gMPClQXQUbf4e27aI+B8fzqq6Gn3/UzunUVP/Y6rQPKVHPPsQOJOqof4Z+14AqK0U+eoe2gYD6aSWiHteUmvM8at672jF9zCmwczvyyXvg5x+xJk/1z4X6/WfUrEdR/YfgufQ/kff5y4/QewCW/cElAGvEOOTy71BLv0IcOKLO427qyAWfoF58HDp3w5o8zf/gFi/U0oWoJV/ptUOLFnE9tiG+qMoK2Pi7Tosv2oE4ZEzENYqqqkI+dZ/WgjvvKoTHA8f8C7ViCWz8HWv0sUHvF917Iv59iY46P/cwnHQuVFVS+vGbWgg+sK09QItW+sF43ruoRfNhVxn02x9x6JHB+z1oBGrRfNTCeXrtvulPVGqqzsrYc2+sKTchWqdHPvfczcin/wu774l14pnIB25ELZyLGPGP4PfJatTsJ3RHu7+PRpx+kT7vKBC776nXVF/PhX77Yx19EqJnb7+Gn/CVmO87APXVXNS4iREFNf1jeu9l1MdvIo4+GXHsKUHPQGpXGfLpB6BtFtYlN+jv6IPXUeW7EC1a6jdt+h2KC6PSv3A8LyEQww5Hvf+qLuduna6fOX5apcvs22aiFn6G2rIR0Xm3qPYp35wFeVuhZWvo2AUx6pia78fpO9iej1rwCWLY4YgTzwxuqJDaDs/kqVQ/eJMWwDzu1JrPVVbqtXias21TLz6un/dOuxCxf7B+izh4JKxbgfrgVdSWP7HOvAzWr0Z+8hYiKxvrnCvCn+CPK+BPb6A5grNffvOZXmv0GRh87H366wDNjoLQwHgMMA6MOqDeeBb1w2Ksu2fWCPn5MzCCjYUQAgYcgNV3INhriXwpwWuWI995EXZuRww6CDH0MESXbjXHK9+FvONqLSII0KqNNsg2AUPRvQfizCmo5x92fKATKSlwzuXQLls/4P62gfJff0Icd6pjRwvRoTOiw9iI34XYbwhq2UL9Y+/eA/nlR6h3X0IcPAratUd99EaN4OEv66C4SH9dT92PdcWtyOcf1voCV96uszoAMfhg1GfvocZMQLQJNuxKKdj0h164fOT1ZF52Y1jnRdC5HH0Kas5zWBPP1gYhu4O3s8enyK57aC2QtBaIMePDi53aI7Z79II+gxC9+0N6W9Tzj8D6VdBnkDa8JUWwdz/E3v2wTrtQtxlaOA9x2Fj/+agfVyB6D6ifd3ngMNi7n/ayDj0cCrcjH/AuzHvsg+iyu7dGLRVOuzD4GOtWwYa1yOpqPAEODDn9P/DHL/p3OPwo6N6z1rGpgm3I6TdBixZYl98Mme1RX36oxWS9N1A19y3UUScgWrbSUdcVOnNHfvo2njAODPnuS9CqDWL0caEv7tELOu2mPetRODBU4Q7kzAdgzfcwYCiUFmsHSaTPrFsBLVrC32oeqkS/wShhoVYsrtfDlqFxUUrB6mX6OgxcUMlQEU+x516R58yyIMryJyWlFpXdno919R16sVddrcvG3ngea7+hiJQUvWhavRxx1Il6fJaFddmNWqdISp1R9+7LqB69kcP+ru1a30GIXn1sY/P4Dhw8jk/f0llCp1+EmjUDtemPBnWGUtvzkXdcpUXTfNsOHB4kghzVft57GfXNZ5SnpcG38xGHHoEYfxoiI1O/nr/Nq9T/B+KsKfr9ESJ1YY8jq/UDRJt0vUhd+4OuO6+shPS2yC8/wuNzYHz1if7QyiWoP35GdO/pvM+d23VZ34hxkQ/ee4C2QZ9/AC51YCiloLo64gK7zvusrES9rHUF2KsPbPwDedsVWOdcjhgwNPr9lJag5r6DOGQ0on2HOo1BLvxM1/crCX/rpfUGDM0SVV2NvOv/4I9fajYW5CEmnhP+M++/Ar9vwJo81V/6IVJTdWBuxSJdNmHDGnY4cstGbYuWLYSOXfW184+TQt4rPB6sWx6F1cuQC+fBlo1YZ1wculbadyC0baczjNPSdBZDr96oLz9Gvf4Mavl3er0cATlrBiB0QDSnE/TYB/Xp26jDx/oDU6qsVDtsVi5BHHUCYsK/67ymFKdORow7McjW++5Z/r8PHYN68l5dOu7V0YiEWrdKl2u/9zIU74RTzq8Z80dvwI4CrGuu0c7Pnr1RSmphSJ+Wgi9DeZ/6OTAAxNDD/QEzteFHHVg88zL9kF+0A7VogQ5knnFJ7efz5686oz4zS+uhFReCZemgaLjPLPkKlNKBuDDdIMWQQ7Q9++Nn6KBtoXzibli/BnH8vxGHjglu1LDme+0UOfJ4rMNDn9OEEHDWFOi2J+qNZ5FX/hsqK3RG+LoK1D8mIjp3C/kcgPx4jj6/nE5hsxVVcSGsWIIY+Y8QJ5nYux8KUN4AbqwxJSR1QG3bouuYA8sFfItKy9lgiJTUUC+rr0vJOy/Cpj+hTQbq/VeQ/7lQayb4autenQlb/kKccwXWvc9iPfgiov/+9kPoXR5wCNb0FxE99nEeh+XB+udZWtzyj58RbdtpjYx64tPNUCuX6FrD2Y9pr+bpF+lFtJT+Wii1YjF4PIiTz4efVunI5dKFiAmn+50XAOLoibCrrKbFFfo7l+++rL+bmy7RxnCvPjq1txbvtX+/Y4/Huv3xIKVpcdQJoBRq9mOod15Evf6MngvfcXeVIWc+gJz1KGrDmpCIrmifg+fym7GOOhEx9HCddbJyqf7sOm/0fu9++s399oc990a9/1pNiuKmP6BwB0RZPhJyTkJgTTwHSopQr87UTgTLwrrufjyX/kenTR51os40efP5oM/6awJ//Qm1+S+97df1sGEt7L4natGXyNuuQF4/Gfna06hlC5HffI787L0QcSD5yv9gV6l2JmV31OmKo47Bc939eK66Heu0C6Giwi80W7H6eygrge494ftvHY2k+uNn+P5bxOhjQxxZvnMXww7XXUEKtPCTktKxpEStW4W8ZYq+cZ12oe7Is3c/2LoxohCo+nGl1r8IWPyL9LbQY++Q0ilDgvhpNfLBm4NSRAEcNTBqo9vfUGuXB6XnqspKx5I29d4rerF48rmInr0B76L2hDMhd5NueVxdjfp6no6iHByQZpnTCeuoE7H+MRHr/Kthtz2QTz9A8ewnobgIKyAK4yfVm7UV4HRTf/6qbeHAA7XTOr2tzsBoAOrrubp04twrsW56WG9b8nXd9vHDYtS7LyMOGkmHJ99EjPwH6uu5ulf8d1+i1q9B3n4F5G/FuvgGrINH6u/wl3V1L3tbvxYKdyD+NRlxzuX+DBTruvsRo46GNct15mJ5uf6NDBiqBe0i1ZF7HSmip7Nj1YewLO3k/WUd6vef6zbueiA/fRs5952o369+/1nXV19yktbI+mGRLvkI46RTq5ahykpr3+/bs1HzP0YcdQLWVbdj3fAAdOiMnHFHUEmmUgr5+fuopV+HpLyrinJdz//uS8i7r/Hfg6JBixM+CL3764jwB69HrbdlaHqor+fqoMqJZ2Ld9DDi76N1kGuL829G/bIO9cFrWqzS1llEdOyCNdqh1NiLddy/sG56BHHAYbDlL1odcRyiQ2fH94qUFMSAoXgmT8Nz8yOOD6fC40EcdiS0ao112U2IfoN1ackRx0FGJqxd4bDngHMp2gnrViJGHq0DcUJgHTlBR8a9+gRq2xbk3dfA6mWIUydjHX9GvQJiIjW1Vke1GHggpGdoUepaUOW79HPGEeN16eQXHyIfuR1VXIjK24r65C0dKPMFsHwdYgLKSNSaH6BDZ12yV09El27QvSfqzVmw/FvESedh/X2UXkO2zdK/p28+j0rbQ309V2f13PQw1n9nQd9BOgDha4bg9JlF86F7j7AOA0A7fi0LtXSh/szmP+GHRZCainrhUeRd/6e34bWdsx+Hjl0Rx4XPjhRCYI0Zj3XFrbpT5TmXY932BHg8QfOnKspRa3/Q8/LXr1pPcOTROmsynANjzvMgq52db917aAmCOLVTNQ6MuuD9kau5b9cotIZrRRqJv+2FOHiUXije+RSeq+/AuudpxKhjUF98gHrmQX3jn/8xYswErAOHI9q1r9UwRZMyZh06Buva+8i6aXqt2QsRj5WZBXv08o53OuzdD2vSNfqBr2dv7e3zinyqFUt0LeKooxF/H6UzMgYMDWn1I7rtqfU6PnmT6tuuoPqac5DXnq8dPW2zEKdOwrrnGTyX34LIaOs0LOexChFinEXHrli3P45151NYNz+ix7k+oHZr1VKdcr54vl7URkjNFi1aQO/+NQ6Mn1ZB+w6InE7+41vHngIF23QKXlWlXwCuIRFTsUdPxIEjtGEt2ol1yX+Cbrhiwula9PPDN1CrvGOT1ajvv4W9+2qj+c08vf2LD7TexGU3Yd37LOLUSdChE2ree8jH7kI9/QDqpSd15owXVVIEKxbrlM5uezoPste+kJWjo85A+Xdf6uNc8H/6+AHOKj0+iXz1aWjdBmFL9Qw692GHaQfUovm6JOaxO5FXn6mdTb59LV2IvP96aNkK69p7sQ4fq38L3f6mr9vNfzruWxXugM1/BpeP+I673wHw+wZdTmZIKCpP32D90XXQDrbqaojSuenDGn0sFBfprCW8D2BP3I285mzkvHe1g6y8HPn2i6j3XtapxYcfFbyT/YbAPv1RLz2BnDQB9dYL0LN3aAqyF5HWAuu8q2FXGWXvvwb7HYCv1V/Q+4YeCtkddbel3M2oTX8g/3sDpLfF+tcF+r6w2x4oBweGUgq1bKHW4gjcXl2NCqhxVUqhvvkcvNpKYrc9dFRs8VdRf4dq/RqdmdK9B+K0yViZWVgnn4d1w4M65fp/92vndet0rGn3Ifp5I6E9esPO7VBHQTW15CstQr3fEKwDR2DdPRPrhgcQXbohDjlC25cFn6CWfg1lpVhHjNep18u+qVkQVlYE1b2rX37UeilhMjQCEQePhBYtdTSxgagVi5Hvvez82tKFWoDw9WdQeVtrtpfv0s7ewPfKai3Ad8eV2rlz0AjUupXIR25DXn0mcvLxVE89V9tu32fyc5EP3qR/X7V0t1Irl0CfQfpByfJoh9y/LtBOw0BF/bytWnfr8buRV5ymu0As/04vwJ+8Fzas1V3SqqqQ91wTlQaKKi3WgZJ9B2JdfD3WiWfqbLqPY9MdwVB35FP3IZ9/pFadKFVSrB2akborlZdrbYCevRFjJiB220Pr0aS10GuEwPcqhdr8l860bJeNOPm8eo1f7NYd68xLsR6YTca5l9drH0H7O+YUrPufrwlm4XV+9t5PPzh6nbZKKe2cC+jEoVYs0dH7gcNqdjhwGHTsgpz9GNVXnYm89nwoyNPrtuG2+1EjI1JTEQeO1NdxhId2QGs5SYnYqy/WCWfoUu21y5G3TEE+Mx2EFqX37zu9LXTs6ndgqJIiWLM8+NzrO+6DhutsmnH/xBp1dPBrR04AJVGfvh20XZUW6+403od4VVXpd4KL9LY1AcTyMv184oDK3QS/rUfU0jpdpLeF3vvpZz6lUJ+9BympWP95UDvmt23RAcXvvtQZILmbsU6bHCQVEHbf+/THc8kNWAeO0K1NBw7T5Tpe7SI1+3Hkf29AXn4a8p5p0KKlXtd06AyFO1C7yoLPadk3Ovtj7PF6HW0/nscDvfqgvCXYscaUkESJqq6GHQXQqw9sWKPLAYaPC8jAiN6BIVq1Rpx1WfC2dtm69i4jUyv+fveFTuEf7xCRayCie09Sc3Igr2GKwmK/Iah3X9b1fBdf56/XEqlp0Ksvas1yHZXZ+Dvin2fp106ZBHvspZWdHb4za/zpyOJCrc/RZXfYrTvigMMa5IUNO/7sjoA31bZde6174NOTWLtCP/g+MBvKy0JKhEL21W+ITq3N3aSj/f1saYp9B+v0v/deQc19B7Zu1B5o7xjqfQ4TTkfl52KNPSEkRV4IAaech1q1BPn+a3j67a+dR4U7ECedi2rRCvXNF6gjxqMWL0AcPNJfGiWGj4Ph43RULncztGqt6/TefQm1+U9dorL0ay1ydeDh4cdnWYgDDkHNew9VXEj5ogXQdzCiYxfEAYdqh86xp/izadSCT3TU4fSLQkqlgvbbsav+Pr/9AvXrT7D8O8jIRM64HWvqvbAjH/m/+6DnPqGlRl5ni/rzN8dUcp8IkaMDY9CBqDdnoT7/ABGg62FIAL7F3k+rUVs3ITp1Rc19G1JS9KKlLuzVVztk576DOuxI/Xv6YRF07IJ6+SmdVpy3VacvH3Ao4tQLQxzKQgis0y/S6fUtW2knXJiMOf9nduuuF9tvPKvboDm9p20W1pSbkHddg5x+I1RUgMeDdcVt/n7romt3Xc8rpd+uqo1/IF96QkdDPClYNz7o16NQs2agFs7DmnqPztr7ZZ3WzRl3Ys1xh/wd9cpM1Ja/IkaQ1M8/6lLINcu1qPKkqUG1u2K37lhT79blFn/+ivjn2UGZVaLnPjrt9Ocf/U5f/75LinTJ28BhwWm0slrbn/5D/DXTgeWQol22Fkj7eq5ejHXsAnv3RXTdHTX3HeRrzyDatdcdYnr1xjPlZu+5rNP33dRUakO0TkeMPlaXr4w9QWv6APLbz6GkBDH8qKjr0OXcd2DtD6j+QxB79Ko5z21bkM89pG3Wlj9RH72BOO1C/cDzv/thxWKsO5/yl2GopQtRH76hI9AnnYtok4761yTduWnbZq1r9eVH8Ot68N2jfI6vdSu18OEZlzgGS1ThDtj0B+LA4cEvdOjkH6v/U9t0Zxlx/BlQkIta8rV2OKWm6S4Q/5qENWIc6oBDkQ/8R2syXX6zP6PJkYJtICXWoUfo31f3nvoeMu8d1Kh/IAJbXRoSglq3Ujsj27ZDjD9NO9leeAy16Q+d/dg+B1VZoUvINqzRwZ+BBzrv67P3dJnBeVf5f4+ibTvE0SehXnsGuWg+IjVNZ86tWqYjxp4U/TuKsHaIBtGyVdTXbsT9WBZYDg+avffTelpb/tIaaL9t0J1DDjgUcf7VAKgfvoN22Tqq7d+fzqSWn7yF6NAFOu+GGHJI2EyRxkYccgRq7tvI6y7Qenzd9kSceWmNboUXtWGN1m7qqTPCrRHjUD320fpEP61GHErtnQ8AACAASURBVHNKSOmY6LkPavX3+iF+yddQXYXwdlRs0JhHHo3o3kuXvNlfy+mky0zmf4Qaf5pfT0etXKrXltvzdRbDiiVQXIj199E1n+3aHTF8nNZjG3ywLj/88xfEsOGI7j30vQUQQ2ovpRCDD0a98CiVa5ajFn6mn4/attMByt77IZ+8F/W/+0FYiANH1DvwaR12JHLpQp2F3aqNfo49dIwOMPz8I6LvYH3P6ODVNMrbUrNe3lGAnPWItrsRtLHEPv1QbzyH2p7vX5/ECpOBES07C3Q68EHDdTnAx2/qKJb0iXg2/KsUQmD9YyLipHMhpxPWeVcGiz66DDH8KJ1K6qBFIfoM0Mr43nQln2CiaNECa8S4sOUfYrfueK65G89lN2Gdc7l+MI+B8yLomELo2q31q2s84muXa+E9j0cvVGsRthT99WJQffKW1tQI8Lj7jmEdd6r+HQmBdemNWOdd1fCxZ2XjufqOsA9KIiUVMeZ47XT7aZVujZSSgug/RCsI78hHPj1dLyqHh9Z9i1atdaZHxy46ZdqToh/QQHukO3erNVophh4G1VWoOc8jC/IQg7RXXRxxrPZgv/mCjoTmb9OlPPsOiEqcUww7XC++l32DOOkcrKl3AwI5/Ubdk71DF6yLrw/NNOrYGdLS4K/fnHe8boUW6nI4L9Fld8TQw7Sux/Z8hw8b4kZBLrRqrSPtX3+KKtqJ+nqevsHX8WFGCIEYM16XFi1egHz5Ka2zc/MMxOkXauHWNhlYV9+py7PCCAeKTl2x/nkW1jEnY406Jir9COuwI+nw7AeIgIVqyH47d8O65AbtRK+uwrri1uDMjm57aEerr6Tql3XIWy/zOwxo0RI5a4bOJFm5RD/YA/KlJ/W2hZ/pbIYAQTCx/yF6XxHKSNT6Nci7p+rjnHiWLtVzWEwLy4M16hjdUcheFrbb37TejF2FvqQIed/1yMfuRL3waHC09qfVOutsyCFhx2YdfqS2xb+s01liQiAyMrUO0colOkjQeTdY/T3qr1919sFv6xE9IjxE289rzARok4F8a5Ye84rFqKeno15+Ennn1ag/fkatWoZ8+gGq77tOR9FsZRxKemu/Afn+qzXbKyuRT9yj7xcXXavTnb+eiyrI07Z3+XdaS2XhvJrPfDVXZ/8FfM8iJQXRdxDW8HF+J5kKyD7z/V+MPFrvP1xGyXpbaaSPjHaQ1gK2BWSHeP8vhh2GdepkXQJ78Q2IwQdpW+3VGBEdu2D9312Q2Q45/caQTgRBbPdmvQV06RHHnQqVFaiP5oT/nCEuKKW01lnLVqj3X0W+/6q+Br77ErZu1B3ntm3R9f4b1mib9PVnzvsqKUZ99Lp2UNrXUiOP1tH6p+7TQuZfz4PO3XSG7h1POAYe3IbvAdSfpfzVp/rfpV/r67uyQqfzDxwa6igfeCCe/7sL66zLdAlznJwX4HW4n3GJdmJ23h215CvHkhK1fi3stkfQOl/s0VNnyJ1zOeKoE0M+Q499dFl1fq7XNncLct7Ue8yWB7F337AZ7GLooVqn8JcAHaYNa/W/61ai5n+ktU4y22uNu8DPHnOyLkv87w2omf9FffIW8p6p2gGyaD706hPV84sYNAyExc7pt0BFOWJkTXm/aJettQLHngBdd/cHg+tF7wFa32Leu1pfpcvuiFMuwDrqRDwXX19jl71OaXJrykjkrBlQUY51buTnUjFAr+/VsoX1H2eUmAyMaPGWj4isDohx/9Tplt99oRXgoe411xGwRh8LEdLn3YJom6UjLE6v9R6go2qfvqWjX52iU/lNGHv1hUXzYdsWlGXBti2IUdFrhIiOXbWom89hY1/kAaLPQF2u0rFrowqr1Tq2Q4/QGivvv6ZbI+07UGdaDByKatUGVi2Fvfo4poQF7adtO52BsPAz1OFjtSf9uFNrr7ns3lNHshd8orVQ+nudWd17ao/+Fx/o1OT0tqAU1ukXRVXHKQ44VPdpP2wsllfs07r4el02kt5Wq3w7idRaHui6R0hbXx9q3Ur9fYSZIzH+NJ2W//ZsuOqWWsdpiA2qIE9HrzK0mjieFO2IiyCqFQmx/9915OCZB7WT4Pyr9cPfYWO1UG5ai6jU1+t17Ggi/j17Y113v85Os2Vuia57oEA79HI66UV9SprufJSRiWzVGvX8IzrD5NO39MLliOP0tvkfoZYs0ELSAc4+kZWt00GXfAVHn4Rc/BXqs/ewTjxTC5eWFussgJyOWNc/UO+op/B44G97BQl5qtISreuz5U8dIVvwiRbnPPNShMejsy/S0qD/kPA77jNId0banhesQzL+VETPffTrSiL/7yzUZ+9rp2lVJaJXHRwYrdsgjjoB9fqzOgX89Wdg9z31d/vq08hbvWnordpARlvd6WDO89qR44uibd0EZaX6Hvn9t7oUqGt31PMPazHCi67VmSlHnahbQb7+DGr197pUMyXV3xmA7fmwdrkWjAvzOxUZmbr+PrDcY9OfOpp68nlQtFNnmA0YiujaPeizat1K7WgKyBABb6ZfTqeg8ha2bdalOF4lepGSAgMOQAwI7fwksvQCXd53LXL6jVhX3e6cGecTlw3QGxCdukK//XW6fQRhR0McKC/TUfNjTkatW6lL6NpkYE25EVql68DCTZfoB7QJp0NxodazKNrpF/gFne0sn31Ql30dH9qRTqSkYl1wNWrFEq2h1mMfVwf6nBAdOutrZu0PqL+P1qXKvfeDdat069JevfX3VAdh3HhhHXIEcAQA1fdM1aKiw8f510u+TlbioFBxY9GyddiuTaKHNxNv8VdawDKatWVj0KsPCAv10+oax9KGNbrDhlK61WplhS5jsotWprfFmjxVC0Pv0x8y2iEfuRX58K064B1Nl0P0sxR79UH+tEpnCtocN8Lj0SU3Jzg/b0WLsCy95n7rBRAW1rR7nNce3gwMX1adKi3xisSeGNRowvEYXbr9f3v3HhdVtf4P/LP2cL/LgCAgKIgaIKaQGkqaWnrUvFVWpzQvldfU18n0aHWyn1aWYvlVyko0smPH7sdvv06eo2mWqD/IPOUtL6ABInIVRIG5rN8fa2Zk5DJ7uMxl+7xfr17BzJ691xqcZ/Zee63nEUtacw4CVlxDtQbNwJCJVxiWW3RSi3KK3WLFP2zjWlJbfNCcSdfugLcvUF8PlniXbQJRGxiTifIzx02j4tZO02J9kkRuhQC1mLbc1DZhkTYdvAAA5uYuLupO/iIy7Pe/Wzzu6gZ2l7iD2dTsiyb3dc8oUTP8gzTx+8Dml4+YXsOYKSOxW0J/szuw0pPPiil6Xt7AxXMi67LMOwrM1x+qVe9CanDBymJ6Q3pxPaQV61rMbs+6dgcK8holDuRXioDLhaK6THOvDQ4Fu3cseNZeaGyQwI80o6wELDAY0pCRwNUKsT60T3KjCy+5mEolkj/qtCLzd4MKOczDs8MGL6zBwqOaXnYWHgUA4IUXDXluDoElJpsuDNjgkUBsnCj1WlUJacZi8VhMb/BP3geu15hd5JuOlzwEKLwI3buvg7//JpB3Bvq0F8Wdt+3vAFfLm6yMZXW/onuJz2N9nZhivvH/APm5kOYsFzMRJzwOfngf9CufFWuTc34C63NXo6nLZvuUJEiPzwF79GmRs8n4uLuHmHbt5Q3m7Qs2cJiYLvxrttjAihkYAERejYBAMQXcxRXSvBdETo5X0sEmTYU0fwWktI8grXpXVCIAF0tuDLhh9oU0dT7g7gn+7WdiGenh/aJ6i2GKPVN3FlOKs38ENPViECT1fpE75PffRD4jzi1WNkBYpCi1bTx+Ub64g80Y2GOzATcPkaj2Fvz3440SG5sEh4rpxsZtS4qBoJBGJbybfQ8DgyAteRVwdYP+y4+a3qiiVJxn+ZvPrmI948XMqaoKWcciHcRQaQ5+ASIf2gOPQnpxPVhcP7DusZCef1Usqxv2J3EhlDIc0BkqCRmIEswbgGNHwB55utncWiwyRpT77JngdIMXRuyOvmLAIvtHMVjzwGNA3wFiQDn7JzELtA0VOGxBGv2gyO1myHEGACi8IAazmqkw16zwboCbO/i3YhaanHPL9sA8vYDIaJG7DoaL9cKLYD3iIE1bIDbS65uNq6x3IqT7J4FF9RBxbOnrQFxfcaPhlhKnLbbDsK00vGMv+tngkeJmzKhJaCrnFgBxju7lczOm550R3y0yZzex5CFi1ncHz1K2/xmZszBmqQ0MEidGU+eLChDGKZ8OcHLrSIyJigCAtXSXzFF06SpmAJw5IcpE+QeKx6xgXMbBeiY43IANGzZGDBIwyWxUn41+UAQyw6CGRb0TRYmxP86L5FpyBxsGDgWYBPemLpLu6CsGHV7e0Ki+eWuwsEjLNajDu4kTrqvmJ738+28AlYvFL082dgrg6YVrH73TxtaS1uCci+USgcFAQrJIsqvXiyztbcCGjhEXjQ9Nb5+G2gjz9BLvReFF4OxJoPqq+XIQSRIVgdw9wMZMAeseKx579GmAczHo2rvxyTJLultcNB49BDb6QUhrtgBRMSIpY85PYOP/3OxJkFXtj+ktkq9eOCcGRs6dElNVDXfspXGPgE1fJO5anv4NuFYtEkJb2m+fZEgWYgobPu7mMoTAIKvX7TI3d7BJ0wB3T3HhZpgyzHz9II15GOzOQSIBniRiLxs0XFQvMVbPyDsjZjbE3gE2bLRITPztZ2IQbczD5sca8zDg5QP24HSw0AiwfoMAL2+RrPTgXrH87pY8Io3aG9ZVLO/kXHyOivLFY4Y2s+FjxQBVYYNBDmP+i2ZOYFlQiEjcaRwQLiky3cWT/T4GBovlPcbcWbeqLAd8/RsNoJjKDhunfRP7MNzMYz5+YF4+kMb/2ezfIovoDumNrZAen2tIpt1dXDhmGRIn63XgOzabBu5uTbioOHf0FVUNv9ouZl/FikT3uFYlkknH95M1M8+u+iSLu+27v7y5/Pqs+ByyJnJOtMQ4Ew+1N6w6t2wPrGe8iMmaerGUhHOwHneIJMXTF4pzZAszD0z78vASS8TXZIC1kPy/0etSR8F/6WuA3HPxVmIBgZDeyBAJcVsSHApuWELCz58CmGSqFmPxGMmDxet+tq6KmbXoqluuilIxIuop7jSxyGhxV7uqUjzvYBesjoANHilyQTQoleqoGGNAz3gxA+P0r2B3JFo/CBGbINa83ZrkzAEwTy+wKbNE9uAG0zVZcCikh2bIvovBGBOzMACrEiyxLl0hrX4Xns2U7mWSSiSEstHnyLRcpsEyEn79GvhP/xFJGpup2W16vbevGMTQaUXJMGJT/GoFoNWI9f4uLmBjp4hZPk0s3bIGc3cXeYisrGLiEAyVSEzLKxLM8+KwsEgxE6BB+TXWLRbs0achPfpUk3fLWYAabPoiSH9ZJbLJBwSK/Bup94vPyejJ7dN2Q/lv/Sfvgx/6XiR5uyW/hTR4BFSLXoZq7TZI73zRbgPjLKIb0KuPWD5ioXxqc6SU4ZDe/rjJpYONjhffT8zUM5RR5BfOAlExIgbeN1EkgO2TDGa40DN7becu4m9ouLhjbu5gA4eKO6ClxeI715KwSLFkpaIU+vJSccHQYLCe3T9RVFf5309uvqa5/BdGQSFiP9eqxYVMyWWLAylNYUNE+/lPexo9xyvKzJaPmETFAK5u4GdPNn6O2I5xBkYTyzaNbp3FxlJGAH+cBz95DPq3V4rlE6MmNxq4UyLjDT5UVYINGSk+6736mGbTOeLykVsxxsBGTRYD54ZKdzh3UnwvtzADttn9Gb4HbDX7wnRcQ/xH7hkxACNJpu8kljwE0kPW5Z1gktQ415Ol17i6wuPuYTY5BzZWUmlxm85dTMmY+fnTIqeJp7zKlSw0QpSmpwEMx8DLS8TdmQZ/dPbAY+KLG7BYpeJ2xPokiQSTTjLFj8XGi+m41VfF6Li1r3d1hWrZGouVB+xFGjwSkqVRVxnY0FFgE/7c5JTzFl/XuYtDTMMHABgGMHiDRJ78x38DdbUiuagMbOQEBLz8dovT2EnH0BnW2zO1SOgnDR8nclbcxgPJLDwKuFwoEvUmJDf577Kpx6Th48CSBje7XylluNlyOubqBmnaAvF+t9P3HvP1F7mSCvKAOweBjXuk5e3b+c6kZFyrazhpbQ3Z33PRvUSiwxNHReLQ/FywbuLOFvPvBOm1D0Ty4WaqIDSagTDEkPDY01vMyLDUzi6GJVaX/oA2P8/wWIMBDB8/sOEPiISChvjYXP4L02uM50Gll8WFbO0NkSzZSkzdGYi7UyQT1evMn6wsE0t4b32Ni6tIrE4DGHbFr1WJH3yaH8C4FRswFFC5QP/W30Rp3WkLwB588raI48zXX1R4kCSRUB2GAYExDwM+vmCJTjBzGRA3DgKDoH9/LfTbNoD//tvNWVHW7qt/CtAt1rTk2GZi4wDGxA3M86eArtF0XhcUIpYHaTQiEbYVuaEA4zKSU9CVWlce3RoOcjXhBMpLzbJfA+JkUJqxSCQDs2KqEHFMrMFMEda7dWWKbgfMwwvSuEedOsAzbx8gMAjIvwAA4Fot+N5vROUZC1VVTPuQpNviRMsR6YwVD1pxl0exwqMAnRa4WmHV2ltHwe4cCERGQ5q12PYDnX0HgE1fZJoB0JGYiwvQu69IxFlwAdBqxdRp4/O+flb1n0VGizKzI8ebla9tliFHDL/0B3TGAdww8+WS7P4JIrv+O6+B/3JYLNtpLv8FYMr5xEuLb5ZQtXIJiZGUOkrMeD1xzPyJFsrysdg4ID8XvPZGq45J2oExH5w1Axi+fiLZY0Q3SCvWQUq9/7b6TpUeeEQsB2uQ10UacA+k9R+D+fjZsWXyMRcXSAtfBktKEeU5q68CvVo365p1j4XqhTSb9515+YgZAyePAXm/m+W/um0Fh4plncd/Ni3rsYbxpkjtoX0d0ToAVIVEvopSkfjvFqxnAlRtnLZMHEREN7FEyD8ALDDI4ubEyUV0By+8AABiCnZFKaQn5tq3TUQW4wwMNJXQ8jbFwg2VSFxcnebuXUPSwzPBObfLBQyTJFk5NdrtePH9wI8dBj+8X/zePbblF1igmv+C/GP7+pkqkWiv+opkbb7mN2CYty+k+S9C//d3oX/nNfFYE1UFTIwzMEou3yx3G9TKNex97wJ8/aH/cTdUhtmMvL5OXCA3s7SP9YgTx809DURYl7uKtBPjEhIv+QMYAMCmLYB0Gw1aNMT6p6CpnjvbIA4LjwKbvgj8z3NESWgrEyE7AtYzAXzv/4qfrczfoUSscxdwAHrjd5SVyytZaDgQ0R11WfuAuzvmu5UGMGTgmnqR66ITXdQqGZNUYJOeECd0RPFYRDfw4z9D9/rzQO7vYh14gmMu/yHm9CWXxZR2+qzeFBoBqFQi+ZuHvLWqjsbZTtxbi8X3EyUDD+wWgwm2HogLiwS/lA+tpxcQ1rXJ9531SoD08v+A/7gbPOv7Fmf1MHcP0Y/SYpHfAwCCrc+BAYglIezu4eB7d4FXVYpEeJXl4snmchPF9AaYJNav33Nfq45L2qimGvD0srrK2u3ymb8dMDf3NuehspeGAxhoZS4kRTEmUf31/4kVBq3IaSTNWISAHj1RXq9t58YZ9t8he1UYXVmJ+IHuyiuedO9YSDZOIETsg8XGiZNtrQZs8jRIz612nBwdpEW60mKRKIxOfk2Yqyukp56D9OB0ezeFWMCCQ0XlAU29WPNt43/HLCwSuJQPbcEFs/wXjbZTqSANGwPVinVgncNa3mlwqGEJyWUgIFDecpbmjttvkJi+nHdGPFApyvE1u4TE0wvo2g3ckGyU2MG16hYTeBLi0IxLyINDLVexux0EBAIuLmKJY0zvVn1HschoSB2YXoFmYMigNyQhoWUFhCgHS0iC9D//kJ1ZmTgOXUkxDSg34dbKHcRxsfh+4MWFYN3atnykVcIigbob4HU3WhzAsAYLCgHP/R1cp2398hGjCFGJgefngfUdICqQAE0m8TQdPzZezBbRdszdPtIyXlNFAxjEaTEfP6B3YpOpAm5HTFKJWReXC1tdnauj0e1GGUzrrTtRwjhClIQGL5yTvrS4VWXaCHEUxjKw1mZ3b5djN0ja2V4DGAgKBcpLgOJLYoZJGzAPLzGjw1jm2jADo9klJIBIvFdfD23u7206Nmmla9VWJfAkxNGonlsNacosezfDcRgSMTMrE3jaCg1gyKAvM5SBoTt+hBBiV1xTD31lOVUgIc4tvh+kFWnAHXfa/tiGSiQARO6f9hAcIpbkXa1oVQnVRrp2N1WJQkUZ4O7Z8oBzbDwQGUOVSOylphrM2zkqZxBCLGNdIgA3dyBKXmU+W6MlJDLoSosBLx+nLhtJCCGKUFEq/k8DGMSJMcaANlYfafWxffwAvwCw+vp2uzHDgkJEFRyg7UtIALCu3UUJ19ob4JVlQKeW16Uz/05QvfQW3IKCgNLSNh+fWKmGZmAQoiRszMNgd98L5upm76Y0iQYwZNCVXqHZF4QQ4ggMSZWZmgYwCGm1qB5w0Wmgb68Eog2WjbR1CQkAsIju4JwDhRfFDAyqAuewuFYL3LhOOTAIURDm7evQn2mnGsAoKCjAt99+i+rqavTp0wf3338/iouL8eWXX+L69et47rnnOuS4+tIr9OVJCCG3sEdM5uU0A4OQtpJmLkZAp04o1+jaZ4ed1KKMr04HdO7S9v0Zkunx/DygsgysV5+271Ph7HaOfK1K/EAzMAghNmKzAYx33nkHR48ehb+/P9LS0kyPHzt2DNu2bYNer8eIESMwceLEZvcRERGBZ555Bnq9Hu+99x4AICQkBHPnzjXbZ3vTlRaDOegaIEIIaQ2njcnlJQBjLSb0I4S0jPn4QfLv1G7LLZikEoOKVVcBn3bIhRAYDHh5A/m5Iq+Gwj/vThuPAfDqq+IHB75bSwhRFpsNYAwbNgyjR49Genq66TG9Xo+MjAy8+OKLUKvVWL58OZKTk6HX67Fjxw6z18+dOxf+/v7IycnB119/jdGjR9uk3byuDvxaFRjNwCCEKIizxmSUl0AKUIO5utrmeIQQeUIjAG9fkd+jjRhjQEQ38JPHxKyOFkqoKoHTxmMAesMABmuPgStCCJHBZgMYcXFxuHLlitlj586dQ2hoKEJCQgAAKSkpyM7OxqRJk/DXv/61yf0kJycjOTkZr7/+OoYMsUHNe0oYRwhRIGeNyby8BC7BIdB3+JEIIdaQnpgH6LTttj/WNRr8zAnxs8JnYDhrPAYAfTUtISGE2JZdc2CUl5dDrb75paRWq3H27Nlmtz9x4gSOHDkCrVaLfv36AQCqq6vxySef4MKFC/jqq68wadKkRq/bs2cP9uzZAwBYs2YNwsLC5DcyLAz4vznyt3ciVr0PTkJpfVJafwDl9UlJ/XGKmLx2i/xtnYiS/h0ZKa1PSusP0M59au/35y8vi/+sboYy/k5OEY8BICwMfqnKO09Wyr8jI6X1B1Ben5TWH6AD+8RtqLi4mP/lL38x/Z6VlcXfffdd0+8//PADz8jIsGWTZFm2bJm9m9DuqE+OT2n94Vx5fXL2/lBMdgxK6w/nyuuT0vrDOfXJ0VA8dhxK65PS+sO58vqktP5w3rF9kjpmWEQetVqNsrIy0+9lZWXo1KmTHVtECCG3L4rJhBDiGCgeE0JI0+w6gBETE4OioiJcuXIFWq0WWVlZSE5OtmeTCCHktkUxmRBCHAPFY0IIaZpq5cqVK21xoLfffhs7d+5EWVkZ9uzZAy8vL8TExCA0NBQbN27Ed999h9TUVAwaNMgWzbFadHS0vZvQ7qhPjk9p/QGU1ydn7Q/FZMeitP4AyuuT0voDUJ8cBcVjx6O0PimtP4Dy+qS0/gAd1yfGOecdsmdCCCGEEEIIIYSQdmLXJSSEEEIIIYQQQgghctAABiGEEEIIIYQQQhyei70b4EiOHTuGbdu2Qa/XY8SIEZg4caLZ8xqNBps2bUJubi58fX2xePFidO7c2U6tlcdSn06ePInMzExcvHgRixcvdtj1lUaW+vPNN99g7969UKlU8PPzw9y5cxEcHGyn1spjqU///ve/sXv3bkiSBA8PD8yePRsRERF2aq1llvpjdPjwYaxfvx6vv/46YmJibNxK61jq0/79+7F9+3YEBgYCAEaPHo0RI0bYo6mKorSYrLR4DCgvJistHgPKi8kUj+1DafEYUF5MVlo8BpQXk5UWjwE7xeQOK9DqZHQ6HV+wYAG/fPky12g0fMmSJTw/P99sm++++46/9957nHPOf/rpJ75+/Xp7NFU2OX0qLi7mFy5c4Bs3buSHDh2yU0vlkdOf3377jdfW1nLOOd+9e7ci/kY1NTWmn7Ozs/nq1att3UzZ5PSHc86vX7/O//a3v/EVK1bwc+fO2aGl8snp0759+/iWLVvs1EJlUlpMVlo85lx5MVlp8Zhz5cVkisf2obR4zLnyYrLS4jHnyovJSovHnNsvJtMSEoNz584hNDQUISEhcHFxQUpKCrKzs822ycnJwbBhwwAAgwYNwvHjx8EdOAeqnD517twZUVFRYIzZqZXyyelPQkIC3N3dAQCxsbEoLy+3R1Nlk9MnLy8v08+1tbUO/beS0x8A2LlzJ8aPHw9XV1c7tNI6cvtE2pfSYrLS4jGgvJistHgMKC8mUzy2D6XFY0B5MVlp8RhQXkxWWjwG7BeTaQDDoLy8HGq12vS7Wq1u9MFuuI1KpYKXlxeqq6tt2k5ryOmTM7G2P99//z3uvPNOWzSt1eT26bvvvsOzzz6Lv//975gxY4Ytm2gVOf3Jy8tDaWkpkpKSbN28VpH7Nzpy5AiWLFmCtLQ0lJaW2rKJiqS0mKy0eAwoLyYrLR4DyovJFI/tQ2nxGFBeTFZaPAaUF5OVFo8B+8VkGsAwaGqU+NZRPDnbOBJna68l1vTnwIEDyM3Nxfjx4zu6WW0it0+jR4/Gxo0b8fjjj+OLL76wRdNaxVJ/9Ho9MjMzMW3axqcKqAAADNNJREFUNFs2q03k/I2SkpKQnp6OdevWoU+fPkhPT7dV8xRLaTHZmdoql9JistLiMaC8mEzx2D6UFo8B52uvJUqLx4DyYrLS4jFgv5hMAxgGarUaZWVlpt/LysrQqVOnZrfR6XS4fv06fHx8bNpOa8jpkzOR259ff/0VX331FZYuXerw06+s/Rs5+nRZS/2pra1Ffn4+XnnlFcyfPx9nz57Fm2++ifPnz9ujubLI+Rv5+vqa/q2NHDkSubm5Nm2jEiktJistHgPKi8lKi8eA8mIyxWP7UFo8BpQXk5UWjwHlxWSlxWPAfjGZBjAMYmJiUFRUhCtXrkCr1SIrKwvJyclm2yQlJWH//v0ARHbY+Ph4hx6tldMnZyKnP3l5efjggw+wdOlS+Pv726ml8snpU1FRkenno0ePokuXLrZupmyW+uPl5YWMjAykp6cjPT0dsbGxWLp0qUNnWJbzN6qoqDD9nJOT49AZsJ2F0mKy0uIxoLyYrLR4DCgvJlM8tg+lxWNAeTFZafEYUF5MVlo8BuwXkxl35Aw7Nnb06FFkZmZCr9fj3nvvxeTJk7Fz507ExMQgOTkZ9fX12LRpE/Ly8uDj44PFixcjJCTE3s1ukaU+nTt3DuvWrUNNTQ1cXV0REBCA9evX27vZzbLUn1WrVuGPP/5AQEAAACAoKAjLli2zc6tbZqlP27Ztw2+//QaVSgUfHx/MnDkTXbt2tXezm2WpPw2tXLkSU6dOdejgDFju044dO5CTk2P6Gz311FMIDw+3d7OdntJistLiMaC8mKy0eAwoLyZTPLYPpcVjQHkxWWnxGFBeTFZaPAbsE5NpAIMQQgghhBBCCCEOj5aQEEIIIYQQQgghxOHRAAYhhBBCCCGEEEIcHg1gEEIIIYQQQgghxOHRAAYhhBBCCCGEEEIcHg1gEEIIIYQQQgghxOHRAAYhCvef//wHH374Ybvsa/ny5cjPz2+XfRFCyO2G4jEhhDgOisnOicqoEtnmz5+PyspKSNLNca8NGzYgMDDQjq2yjylTpsDd3R0A4OXlhZSUFEydOtXsvXEEWq0Wzz77LF599VUEBgbiypUrWLBgAT755BOoVCrTdunp6VCr1Xj00Udb3F9WVhaysrKwZMmSjm46IaQFFI9vonhM8ZgQe6OYfBPFZIrJHc3F3g0gzmXZsmVITExscRudTmf2wVeqtWvXIjQ0FJcvX8bLL7+M8PBwjBw50t7NMpOdnY2wsLB2+wJNTk7GBx98gIqKCnTq1Kld9kkIaR2KxzdRPKZ4TIi9UUy+iWIyxeSORAMYpM2MI5Zz5szBZ599hs6dO+OVV17BmTNn8NFHH6GgoADBwcGYPn064uPjTa9JT09HXl4eYmNjERYWhpqaGixcuBAnTpzAxo0bsXnzZtMx5s+fj9mzZyMxMRF6vR67du3C3r17UVNTg4SEBDzzzDPw8fExtWXevHnYuXMn6uvrMXbsWEyePBkAoNfr8fXXX2Pfvn24evUqunTpgueffx5ff/013NzcMG3aNNMx16xZgz59+mDs2LEt9j80NBS9evXChQsXTI/t27cPu3btQllZGfz8/DBhwgTcd999AGDq39ixY/HPf/4TkiThsccew7333gsAqK6uRnp6Ok6dOoWwsDD07dsXJ06cwKpVqwAAhYWF2Lp1K3Jzc+Hn54dHHnkEKSkpTbbtl19+QVxcnFV/z4yMDOzfv9/0u0ajweTJkzFlyhS4ubkhOjoa//3vfzFs2DCr9ksI6XgUjykeE0IcB8Vkismk/TnWXB7i1E6ePIm33noLL7zwAsrLy7FmzRpMnjwZW7duxdSpU5GWloaqqioAYlpddHQ0MjIy8OCDD+KHH36QfZx//etfyM7OxsqVK/Hee+/Bx8cHW7ZsMdvm9OnT2LBhA1566SV8/vnnKCgoAAB88803OHjwIJYvX47MzEzMnTsX7u7uGDZsGA4ePAi9Xg8AqKqqwvHjxzF48GCL7SksLMTp06cRGhpqeszf3x/Lli1DZmYm5s2bh8zMTOTm5pqer6ysxPXr17F582bMmTMHGRkZuHbtGgARHD08PPD+++9j/vz5Zu9NbW0tVq9ejSFDhmDLli1YtGgRMjIyml1zl5+fj7CwMJnvrDBr1ixs374d27dvx6pVq+Dt7Y277rrL9Hx4eDguXrxo1T4JIbZF8ZjiMSHEcVBMpphM2g/NwCBWWbt2rWnqW1xcHJYuXWp67uGHH4aHhwcA4MCBA+jXrx/69+8PAEhMTERMTAyOHj2KhIQEnD9/Hi+99BJcXV0RFxeHpKQk2W3Ys2cPZs6cCbVabTruvHnzoNPpzNri5uaGbt26ISoqChcvXkRERAT27t2LJ554whSwunXrBgDw9fWFl5cXjh8/jsTERGRlZSE+Ph4BAQHNtmPZsmXQ6/Woq6tDSkoKRo0aZXrO2G/j+5SYmIjTp08jOjoaAKBSqfDQQw9BpVKhf//+8PDwwKVLl9CjRw8cOXIEaWlpcHd3R0REBIYOHYoTJ04AAI4ePYrg4GDTSHR0dDQGDhyIw4cPo2vXro3aWFNTA09Pz0aPz5o1y+z3uro6TJgwweyxqqoqrF27FjNnzkT37t1Nj3t6eqKioqLZ94UQYhsUj2+ieEwIsTeKyTdRTCYdiQYwiFWef/75Ztf3GYMlAJSWluLw4cP4+eefTY/pdDrEx8ejvLwc3t7epkAOAMHBwSgtLZXVhpKSEqxbtw6MMdNjkiTh6tWrpt8bBlV3d3fU1tYCAMrKyhASEtLkfocOHYoDBw4gMTERP/74I/70pz+12I433ngDISEhOHToEHbs2IG6ujq4uroCENPSPv/8c1y6dAmcc9TV1SEyMtL0Wl9fX7M1kMY2VlVVQafTmb2XDX8uKSnB2bNnMX36dNNjOp0O99xzT5Nt9Pb2xo0bNxo9npGR0ShBUUNarRZpaWkYPHhwoxH2GzduwNvbu6W3hhBiAxSPb6J4TAixN4rJN1FMJh2JBjBIu2kYLNVqNVJTUzFnzpxG25WUlKCmpga1tbWmAN0wMLu7u6Ours70u16vN02rM+577ty56N27d6N9X7lypcU2qtVqFBcXmwVKo9TUVDz33HO4cOECCgoKMGDAgBb3BYg+p6SkICcnB59//jmmT58OjUaDtLQ0LFiwAMnJyXBxccGbb75pcV8A4OfnB5VKhbKyMtMIeFlZmVn74+Li8NJLL8naX1RUFIqKimRt29DWrVvh6enZZMblwsJCpKamWr1PQojtUDymeEwIcRwUkykmk/ZDOTBIh0hNTcXPP/+MY8eOQa/Xo76+HidOnEBZWRmCg4MRExODTz/9FFqtFqdPnzYbhQ4LC4NGo8HRo0eh1WrxxRdfQKPRmJ6/77778I9//AMlJSUAxDSu7OxsWe0aMWIEdu7ciaKiInDOcfHiRVRXVwMQgS8mJgabNm3CwIED4ebmJru/EydOxJ49e1BZWQmtVguNRmMKtL/88gt+/fVXWfuRJAkDBgzAZ599hrq6OhQWFpqt70tKSkJRUREOHDgArVYLrVaLc+fOmdYv3qpfv344efKk7H4Aoib2qVOnsHDhwkYlrzQaDXJzcy1m2SaEOA6KxxSPCSGOg2IyxWTSNjQDg3SIoKAgLF26FB9//DE2bNgASZLQo0cPPP300wCAhQsXIj09HTNmzEDPnj1xzz33oKamBoCoGf3UU09h8+bN0Ov1GD9+vNkUsTFjxgAAVq9ejYqKCvj7++Puu+82S6LTnHHjxkGj0WD16tWorq5GeHi4Wb3moUOHYtOmTWbTz+SIjIxEXFwcdu3ahWnTpmHGjBl46623oNFokJSUhOTkZNn7mjVrFtLT0/HMM88gLCwMgwcPNiU38vT0xIsvvojMzExkZmaCc46oqCg8+eSTTe4rKSkJH374IcrLy2WXiTp48CCKi4sxe/Zs02OTJk3C5MmTkZOTg/j4+NuyrjkhzoriMcVjQojjoJhMMZm0DeOcc3s3gpBPP/0Uly9fxsKFC+3ajpMnT2Ljxo1IT09vNLJqLx9//DEqKyuxYMGCVr1+z549KCgosPoLpykrVqzAnDlzmpxeSAhRBorHzaN4TAixNYrJzaOYfHuiGRiEGGi1Wnz77bcYMWKEXQNzYWEhtFotIiMjcf78eezbt89spNdaI0eObLe2vfbaa+22L0IIaQ7FY8soHhNCbIVismUUk22HBjAIAVBQUIDly5cjKirKNP3OXm7cuIENGzaYpv6NGzdO1tQ/QghRAorHhBDiOCgmE0dDS0gIIYQQQgghhBDi8BxjARMhhBBCCCGEEEJIC2gAgxBCCCGEEEIIIQ6PBjAIIYQQQgghhBDi8GgAgxBCCCGEEEIIIQ6PBjAIIYQQQgghhBDi8P4/WudzcvZngBEAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "frequencies, denoised_nuisance_density = periodogram(bold_denoised_nuisance)\n", "frequencies, nuisance_denoised_density = periodogram(bold_nuisance_denoised)\n", "frequencies, csf_density = periodogram(csf)\n", "plt.figure(1)\n", "\n", "plt.subplot(131)\n", "plt.semilogy(frequencies, denoised_nuisance_density)\n", "plt.ylim([1e-31, 1e3])\n", "plt.title('denoised->nuisance')\n", "plt.xlabel('Frequency Range (Hz)')\n", "plt.ylabel('Frequency Power')\n", "\n", "plt.subplot(132)\n", "plt.semilogy(frequencies, nuisance_denoised_density)\n", "plt.ylim([1e-31, 1e3])\n", "plt.title('nuisance->denoised')\n", "plt.xlabel('Frequency Range (Hz)')\n", "plt.ylabel('Frequency Power')\n", "\n", "plt.subplot(133)\n", "plt.semilogy(frequencies, csf_density)\n", "plt.ylim([1e-31, 1e3])\n", "plt.title('csf noise')\n", "plt.xlabel('Frequency Range (Hz)')\n", "plt.ylabel('Frequency Power')\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Hallquist Conclusion\n", "The correlations show a slightly stronger relationship between the nuisance->denoised bold as opposed to the denoised->nuisance bold.\n", "It also appears extracting the nuisance regressor and then denoising (the middle graph) suppresses one of the csf peaks, whereas denoising and then extracting the csf nuisance (left graph) does not suppress the peak.\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Repeated Simulation\n", "\n", "I will now perform many iterations of the above example with random numbers for each component as opposed to defined frequency components" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "np.random.seed(123)\n", "denoised_nuisance_collector = []\n", "nuisance_denoised_collector = []\n", "for _ in range(1000):\n", " random_signal1 = np.random.rand(200)\n", " random_signal2 = np.random.rand(200)\n", " \n", " random_motion1 = np.random.rand(200)\n", " random_motion2 = np.random.rand(200)\n", " \n", " random_csf = (np.random.rand(200) + random_motion1) / 2\n", " \n", " \n", " random_bold = random_signal1 + random_signal2 + random_motion1 + random_motion2 + random_csf\n", " \n", " # non-aggresive denoising\n", " Rdesign = np.ones((200, 5))\n", " Rdesign[:, 1] = random_signal1\n", " Rdesign[:, 2] = random_signal2\n", " Rdesign[:, 3] = random_motion1\n", " Rdesign[:, 4] = random_motion2\n", "\n", " RunmixMatrix = np.linalg.pinv(Rdesign)\n", " Rmaps = np.dot(RunmixMatrix, random_bold)\n", "\n", " Rnoisemap = Rmaps[3:]\n", "\n", " Rnonagg_residual = np.dot(np.stack((random_motion1, random_motion2), axis=1), Rnoisemap)\n", " random_bold_denoised = random_bold - Rnonagg_residual\n", " \n", " # apply the same regression to the csf component\n", " # same as extracting csf after nonaggressive denoising\n", " random_csf_clean = random_csf - Rnonagg_residual\n", "\n", " # make design matrices for denoised csf and non-denoised csf\n", " Rcsf_clean_design = np.stack((np.ones(200), random_csf_clean), axis=1)\n", "\n", " Rcsf_design = np.stack((np.ones(200), random_csf), axis=1)\n", " \n", " Rcsf_clean_residual = np.dot(Rcsf_clean_design, \n", " np.dot(np.linalg.pinv(Rcsf_clean_design), random_bold_denoised))\n", " \n", " # remove the denoised csf residual\n", " random_bold_denoised_nuisance = random_bold_denoised - Rcsf_clean_residual\n", "\n", " Rcsf_residual = np.dot(Rcsf_design, \n", " np.dot(np.linalg.pinv(Rcsf_design), random_bold_denoised))\n", " \n", " # remove the raw csf residual\n", " random_bold_nuisance_denoised = random_bold_denoised - Rcsf_residual\n", " \n", " signal_total = random_signal1 + random_signal2\n", " \n", " denoised_nuisance_collector.append(np.corrcoef(signal_total, random_bold_denoised_nuisance))\n", " \n", " nuisance_denoised_collector.append(np.corrcoef(signal_total, random_bold_nuisance_denoised))\n", " \n", "mean_denoised_nuisance_correlation = np.mean(np.array(denoised_nuisance_collector), axis=0)\n", "mean_nuisance_denoised_correlation = np.mean(np.array(nuisance_denoised_collector), axis=0)\n", "\n", "plt.figure(1)\n", "\n", "plt.subplot(211)\n", "sns.heatmap(mean_denoised_nuisance_correlation, annot=True)\n", "plt.title('denoised->nuisance correlation with ground truth')\n", "\n", "plt.subplot(212)\n", "sns.heatmap(mean_nuisance_denoised_correlation, annot=True)\n", "plt.title('nuisance->denoised correlation with ground truth')\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusion\n", "\n", "The simulation suggests a slight benefit towards extracting the nuisance regressor before denoising as opposed to extracting the nuisance regressor after denoising." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Assumptions \n", "1. The nuisance csf is correlated with the noise components (e.g. csf signal is related to motion). When csf noise is generated independently, the nuisance->denoised order perfectly reconstructs the signal\n", "\n", "2. I didn't model autocorrelation (would that be relevant in this context?)\n", "\n", "3. ???" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 2 }