{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Jerk, jounce, etc.\n", "\n", "This notebook accompanies a blog post on [Agile](https://agilescintific.com/blog/2018/3/6/jounce-crackle-and-pop).\n", "\n", "First, the usual preliminaries..." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import seaborn as sns\n", "sns.set()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load the data\n", "\n", "This dataset is from this (slightly weird) blog post https://www.duckware.com/blog/tesla-elon-musk-nytimes-john-broder-feud/index.html. It was the only decent bit of telemetry data I could find. I doubt it's properly licensed. If you have access to any open data — maybe from a Formula 1 car, or maybe your own vehicle, I'd love to know about it!" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "data = np.loadtxt('data/tesla_speed.csv', delimiter=',')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Convert `x` to m and `v` to m/s, per the instructions in the blog post about the dataset (modified for metric units)." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "x = (data[:, 0] + 3) * 2.05404\n", "x = x - np.min(x)\n", "v_x = np.mean(data[:, 1:], axis=1) * 0.0380610" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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LfcdbBlzuHA5HanTgACjOcf5biIWef0dZGjkunpKHr7ZX4++f9BS1y9HIkaWR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\ny+B/6SRu0UifDAkcDgdisdj9NY/Hw3nnnYd58+a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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, v_x)\n", "plt.xlabel('Displacement [m]')\n", "plt.ylabel('Velocity [m/s]')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the sampling was done per unit of displacement; we'd really prefer time. Let's convert it!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Time conversion\n", "\n", "Convert to the time domain, since we want derivatives with respect to time, not distance." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/matt/anaconda3/envs/geocomp/lib/python3.6/site-packages/ipykernel/__main__.py:1: RuntimeWarning: divide by zero encountered in true_divide\n", " if __name__ == '__main__':\n" ] } ], "source": [ "elapsed_time = np.cumsum(1 / v_x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Adjust the last entry, to avoid a very long interval." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "elapsed_time[-1] = 2 * elapsed_time[-2] - elapsed_time[-3]" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "t = np.linspace(0, elapsed_time[-1], 1000)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "v_t = np.interp(t, elapsed_time, v_x)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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GxP8jHo1KAa1aPi5m7Y2Jdy6MZZyMv/gI4n3Pd87AP157Kk6dZh23TS5kinlH\nWRb9Lh+a63Roiq099MXE26BVot6sQWtsPulEBvj6g5GExdaxfjl+bN3bj9W/3Yq/ZOgDz5f3c9Cq\n5GNFNqnEO8djb9SrKOZNpGRSNaYSUMhl+N5NZ4JhkPMoL72WPxTepFvUYJjvSTKnPXFSUHujEafP\nsImDdm+5ogMqZfr3EmKngxPwCjMRibLw+MJoTnOnYTGoE4qQoiwLbyCSc8Ml0XtPJd6DHijkDOZ1\n1EEuK9wfEMU7MF68B0cCiEQ5NNfpodMoYdIpcbhrBIFQFKfPsIFh+AVCoPA2BJEoi3CETVizsBnV\nYBjAMcIvSAPAnz85jkUXTE+5j0DswqNRKeLCJuFx24TCbMbqSgGjVoluhxeRKJsxxELUHpNSvAHg\njBmp52mmQ7iF9SQJh0Ms9x6/CHff4nk42jMKlVKG9iwefmtMJJMXDYvFqC8MDmMim4zFoEbvkE9s\nbypUEubqeZsNqXO9WY5D96AXzXX6CQk3wF9oGaQuj+8dTJzO02TT4WBsyPGMWAhLWN9wFRiaEsI1\n2rjOhwq5DDajBodj7wXw3rVrNJhyMVywXaOWiwuOyZ63sPiZSzdLU1yJfC7bE7UDXcpjCP2lk3Oh\n+zJUDMplMsxsNWcVboDvH27Sq7Crc6gkXeKEWH26obVCbrorJr5jjZFyu36PtQRIFMbBYT9CYVYs\njpoIMoaBRi1PGfPudcam88S866YUI9aEEEehoSlRvJOyheLXOuwWXkDTjcILxF0ATGl6kwjl9sJi\naCaExeZyNDUjpMWExHtoaAgXX3wxjhw5Uix7KsZY2CRROPpdiTnehSJjGJw2zQaPP1ySE1HIkknO\nNBEQctMF8R1LVcttQrnVkHrBUoh3t9RPXLwBXjhTineS5z2rdSyMJSweW2MhjkLz6YUsF6HHisDp\n023i7zdfPhsAsP9E6tmWgTjPu86khoxhxo3AE5uc5eBJCxcOGspAJFNw2CQcDuPhhx+GRjM5buWE\nwQHeJM9byDRJ1W0vXwTvtHvQmzIMMxGEHO9UC5YAYNEnNpfKJc84Hm2sylJIN3xn2wmMeEPigOXW\nPIcVpH0flSJlXL3X6YVcxoihkTNn1ouvCRcsuVzGx/YLHGAgxKu1SQMjLj27Bcf7R9FSr8cZHTZo\nVHJx6lAy8aEXpUKO5jodTg54wHKcmIk0mIfnLfy/6Vo3ELVLweL95JNPYunSpXjuueeybmu16qCY\n4Bgpuz23rJFCscVCGWGWS3gvlycEGQPMndmQciJKNuL3NbejHnj/CIb94aL/PxHwwtDeYk657/YW\nPn0vHLOJiS20NjcYUm6f6rliNMHiAAAaL0lEQVSmOh0GXH509nvwynuHE147a25TzgOKM2EyqNHn\n9KG+3iCmMHIch36nH831ejQ38f+HHcADy+fDoFUm2Npo0+HgyWFYbfq8F/g6Y0VX9jr9uP//oe9+\nXfz99I56fLavH3K1clwcWhWLjdfH9jGr3YruHV2IMjI0xi5wI7HskVNm1IvHLN33gYudN25/pOTn\nQCFUo025IFW74ylIvF977TXYbDZceOGFOYm3yzWx+Y12uxEOR2kW+uLRqhUYdgcS3qurfxQ2kwbD\nrvwHCCfbrVfyYnL4hKvo/09PbOAxItGU+2Zigxm6+0bhcIyiu5/Pj2ZYdtz26Y53R7MJJ/s9eOz3\n2xKe12sUYENhOBwTb+UqlwFRlkN374iYmjniDcHjD2NWqznBrjktfLhEeM5uN8Ju1mD/cQ67D/Tn\nPbqs38GLdzQcyfj5TGs04LN9/di6sxvz5zQk7iM2tCMS4vcxJRZu+2jHSVx2Nj/U+dAJFwxapXjM\nMn2/OY6DVi3HwRJ8ZyZKuc7LYiMluzNdZAqKeb/66qv4+OOPsXz5cuzbtw8PPvggHA5HwQZWC3qN\nQszCAPg5gyPeUNYqzVwR0s6yjdUKhCLjFgazMZJtwdKYuOCYLcySikUXTBf3f+OlHWLjK5VSXrTZ\nnELpe3xP774h/sI5JYe4urB4+WXcsOhc8aVZsExGqB04MeAZ91ogFjcXQi9nz7YDgDgOzReIwDEc\nQHujIadjJmMYzGg2od/pK2l1LiE9CvK8X3zxRfH35cuXY82aNbDb7UUzqlLoNUoxqwHILysgFxRy\nGaxGdcY+GSOeINY8vx1uTwh33XCGePJnw+0JgkH6ySzJPbmF9LV0Yp8Kq1GN1cvPQdegF2d21EGv\nUeJo735cmKYlQCEIwukNRMT0xJ7YZJpc1h3OndOA1z44gjf+fgznn9qU12cnxryziHdbrBioK5V4\ni3ne/F2DzaTBzFYzDpwYhtsbwsmYd59LhpJAR4sZe4650Nkzgnkd9dn/gKgJKFUwDp1GgVB4bACu\nIN65ZAXkSp1Jg2FPMO18yR0HHRjxhMABeOmvB9POyUxm2BuCUadMm2utUsr5sFDMQxc871wKReKp\nt2hx1sx6MAyDC+c1Y+UtZ2PRBdPy2kcmzCna5/YOJaYJZsKgVeKGizsQjrD47EDq4b/pyNXzNulV\nMBtUODEw/tZbyFiJ38fp023gwPeA2XuMX2uY0557FarQbuBId25DpYnaYMLivXHjRnR0dBTDlooj\n9LQQQidCeKNYnjfA98rgOKQduSbMvzx7th1OdxBvxar6MsFyHJzuQNYiDotBJfY3GfGGYNAqJ1S1\nxzAMZrdZJlycE49Q+BJ/fHoGBfHOLUPn7Nl2MAC27u3P2ocknrGQR/bF9fYGI5zu4LhQRrLnLWwL\n8J/t5/sdUMgZnNKWWLGbCaHdQ2fPSJYtiVqCPO84hNaoQgFL/NDhYiFOJE8TOjne74FaJccd35wL\nq1GNNz8+hne3nci4zxFPCJEolzXbw2JQwxuIIBxh4faG0uaEVxKrkT8+gufNshyO9rrRZNNl9YgF\nzHoVZrSYcKxvFL/441c5t+FNV6STivZGPnRysj/R+x6rsFSM2/YvnxzHwLAfF5/VknPbBoC/m2iy\n6XCkx12SAi9CmpB4xyE0JBKmqQyVwPMW+0OnyEUOhqPoHfJiaoMBWrUCN17K39G8/N7hcW1X4xGK\nfuxZ7BRK53uHvPAFI7BmGFRRKQTPWyi06Rn0wh+MoqPFlOnPxnH9hTMgYxjs6hzKuSgqH/EW4t7J\ni5ZjFZZj4mw1qsW7Oq1agcWX5H+nOqvVjEAoipMDHry77QQ2JaVqErUHiXccerG/Ce95D44EIGOY\nrDMe8yGT59075AXHAW2x2+zzT23CN78+FQCwbV9/2n0OjsTEO4vnLSwA7jnKx12LVVhTTIRjLYR3\nDsdCBTNb8msze9o0G26KXfyO9uaWFuYP8tnyuXjFwoLjyWTxDkUhY5iEmgAm7vHcqdZxLXtzYXYs\nzLJ1bz9efu8w3t52QvzcidqExDsOveh58+LtGPHDZlIXNaZrz9CrQhB0oX8GAFx7wXRo1XJs3z+Q\nNn4r9K+ut2TzvHlhFAYYtBahH0mx0WsUUMhlYsz7SGwNoCNP8QbGep2kW19Ixh+KQqOWp+3JHk+D\nRQu1Up4wTYnfRwRa9fjUyX+48hSolDJcfk5rjtYnMism3m/HhdDim2URtQeJdxxjJfIRPsc7bmJ8\nsagzayBjGLHsPp6hWDe8+IVHpUImLl7+cvNX+HBnz7i/GxCHRWRe0JsSW/ATSrur0fNmGAY2o1os\nwz/e54FKKct5qEY8woCNVNORUuEPRnKOq8tkDFrtevQOeROGEweC0ZSTic6ebcdvvn8x5k4trNe5\n3awZ1zEy2esnagsS7zjEbBN/eCxNsEgFOgIKuQz1Zo04Wi0epzt1q9AFZ/B51F8dGcLz/7l/3Ciy\ngWEf5DIGdVli2MKwAoBfBKtG8Qb4giK3J4RAKILeIS/a7AbIZPkXASX3c8mGLxARi4RyocVuQJTl\nEj7LQCiSsFgZz0QKmRiGGXf3IcTbhz1BDFLvk5qDxDsOMdskVgUHZF8ELIQGmxZuX3hc9zxBvJNF\neHabBVef3y4+Pngy8XZ5wOVHvVmTNbwTn11y+gxbQYJYDupMGnAAdnU6EWW5vApa4jFnGCCRDMtx\n/BSdPMS7ManjH8dx8Aej4xpbFQuhw2B7gwF1Jo3Y8OqpP3yBB9Z/IuaQE7UBiXccY0OIQ+JiULE9\nb2CsN3h/kvftHA1CLmPE8VkCDMPgxktm4gdLzwIAdPaOibcvEMGoLwx7DkN/GYbBN78+FVq1AlfM\nb5vov1EyhDFnwiKtkGqXLwq5DAatMuVou2N9bqz+7VYcjw3HCIai4JBbpomAIKZCCCwcYcFyXE4D\nnQvhmvOn4hunN2HFt09HW4MBbm8IXx4aRG+sAvWT3X0leV+iOiHxjsOoU0HGMLHbUGHxsBTiHTvp\nnYm3usJMyXQLZtOaTWAAdMZV2gkLn42W3ApYvnNxB9bdf6HYA7saEdrlfn6A75dTqOcN8N53qqHJ\nf/74OHoGvfjlq18BGEsPjZ9fmQ1hjUFo15oqx7uY6DVKfPdbp6LRqhMLd17660Hx9S5H/s3TCOlC\n4h2HTMbwJ/toMOfc6UIQG+wnxSl9ScNvk9GqFZhi1+NonxtRlk3YR0MOnrdALtkUlSS+h4mMYSaU\nFWPRq+AP8gvQ8QjrBq7RIHyBSM6l8fE0xC7sjtgdlJDjXSrPO56zYv3Mne4gVEoZmut06BnyUhFP\nDUHinYQl5qk5RvxQKWR5NW7KFWFBMj6FjeM4fsEsi+c3vcmEUJhFX8xrF0ZsWYqYi15p4kfOtTUY\noJxAL3hx9mZS6CS+s+PRXre4/pCP561WyWHSKcV9CVN0ShXzjqfFrhcvaufMtmNakwnhCEvj0moI\nEu8kLAY1IlEWJ/o9qDNritb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TnHbaaZU0MS2bN2/GE088AQDo7++H3++HTqfDiRMnwHEc\ntmzZgvnz51fYytRs374d3/jGNwDw3uy1116Lvr4+ANV9zE899VRs3boVAPDhhx9i/vz5OPvss7Fl\nyxawLIuenh6wLAubzVZhSxN5/fXX8cILL2Djxo1oa2sDABw7dgzLli1DNBpFOBzGjh07qu64pzoX\npXC8s1G1rqyUhhyvX78ebrcbzzzzDJ555hkAwMqVK/H4449DqVSivr4ejz76aIWtTM3ixYvxwx/+\nEDfffDMYhsHjjz8OmUyGf/mXf0E0GsWCBQtw5plnVtrMlBw9ehStra0AAIZh8Nhjj+Huu++GRqNB\nR0cHbrrppgpbmJoHH3wQDz30EJ5++mnMmDEDCxcuhFwux/z587FkyRKwLIuHH3640mYmEI1GsXbt\nWjQ3N+Oee+4BAJx77rm49957sWjRItx0001QKpW47rrrMGvWrApbm8iaNWvw6KOPJpyLBoOhqo93\nLlBLWIIgCAlStWETgiAIIj0k3gRBEBKExJsgCEKCkHgTBEFIEBJvgiAICULiTRAEIUFIvAmCICTI\n/wdXB1ME5WPG2AAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(t, v_t)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Compute integrals\n", "\n", "Use trapezoidal integral approximation, https://docs.scipy.org/doc/scipy-0.14.0/reference/generated/scipy.integrate.cumtrapz.html" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import scipy.integrate\n", "\n", "# Displacement, d\n", "d = scipy.integrate.cumtrapz(v_t, t, initial=0)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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16tSGyNogVmzMY+PuQjq3imZYShur44iI1JnNNE3Tqge/lrc49fEW6UBBCTPf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\n72EAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(t, d)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Absement\n", "abt = scipy.integrate.cumtrapz(d, t, initial=0)\n", "\n", "# Absity\n", "aby = scipy.integrate.cumtrapz(abt, t, initial=0)\n", "\n", "# Abseleration\n", "abn = scipy.integrate.cumtrapz(aby, t, initial=0)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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tUmDGhCGYe7MeunCOXE/9y2WQK5VK/PrXv75q2rBhw5yPT5w40fdVEXmocxeb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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(abn)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That's a boring graph!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Check that derivative of displacement gives back velocity\n", "\n", "Use Savitsky-Golay filter for differentiation with some smoothing: https://en.wikipedia.org/wiki/Savitzky%E2%80%93Golay_filter" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import scipy.signal" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "dt = t[1] - t[0]" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Check that Savitsky-Golay filter gives velocity from d/dt displacement.\n", "v_ = scipy.signal.savgol_filter(d, delta=dt, window_length=3, polyorder=2, deriv=1)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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r1WSC/ft3nLOOV1VQa3MkGFaTYVT1KI/Vq8D/2lpOWUEA6MwE68K4f8E1hOrC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\nIYQQQogWTJI2IYQQQgghhGjB/j+CaCE0of9JwwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15, 3))\n", "plt.plot(t, v_, lw=3)\n", "plt.plot(t, v_t, '--', lw=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It does: we seem to be computing integrals properly.\n", "\n", "## Compute derivatives" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Acceleration\n", "a = scipy.signal.savgol_filter(v_t, delta=dt, window_length=11, polyorder=2, deriv=1)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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s/48HH5/2goRj0o4We7OmvcL22UL/z9WVpyuet6hkMduOZpihN7zJx9KyZQDE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\n3SX7XW/nL6sAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15,3))\n", "plt.plot(a, lw=3, color='green')\n", "plt.axhline(c='k', lw=0.5, zorder=0)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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Pn17p5xKle/zxx9m/f791SFVNkpiYSFRUFKNGjarqUIQQokpID4oQQgghhBCi2pAeFCGE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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15,3))\n", "plt.imshow([a], cmap='RdBu_r', vmin=-1.6, vmax=1.6, alpha=0.8,\n", " aspect='auto', extent=[t.min(), t.max(), v_t.min(), v_t.max()])\n", "plt.colorbar(label=\"Acceleration [m/s²]\")\n", "plt.plot(t, v_t, 'white', lw=4)\n", "plt.plot(t, v_t, 'green')\n", "plt.title(\"Velocity (green) and acceleration (red-blue)\")\n", "plt.xlabel('Time [s]')\n", "plt.ylabel('Velocity [m/s]')\n", "plt.grid('off')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Jerk, jounce, and so on" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": true }, "outputs": [], "source": [ "j = scipy.signal.savgol_filter(v_t, delta=dt, window_length=11, polyorder=2, deriv=2)\n", "s = scipy.signal.savgol_filter(v_t, delta=dt, window_length=15, polyorder=3, deriv=3)\n", "c = scipy.signal.savgol_filter(v_t, delta=dt, window_length=19, polyorder=4, deriv=4)\n", "p = scipy.signal.savgol_filter(v_t, delta=dt, window_length=23, polyorder=5, deriv=5)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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FhqV6Laj8AFO3hnHyRCS2ZBtB95VmzuNV4cR2zn31M4kRySi3G2sJK0FtgrEGVUBXtxXK\n7EOCM22bRw+jDoPbhlNnJtnhJjTBTlSyncgkO8l2F5ejk/C2GHiiXlnKe+ggZB2uhFgMZStj8CuF\n22AFTYcymlF6E8rig0uBTgNNuUEpwI0uORbNYUNTLtwmD9weJThzw82F2GSOX4vH7YbSvhb8rAaa\nBPkRYNVjjD4Pmg6nXwUSXRoOt8Ko0zDqNRwuhUspvIx6LFGncSXeSIvDYePKdz8StvcaO6OSud/P\nwsMr5rD3hoXl+67gcLqoW8GPMr4Wgnws+FkMlPEyYjXo0NmTUQYzyW4Np1thNegxOZPRJUXjtvgQ\njhc3Up0k2JxYDDp8LQZ0mkY5iwt9xFkuL/2Gw5suci3VyYNV/Gg4dxrRxpKcjUmlagkLgYkXUUYr\noYbSnIlOYsPJSJLtLnysBjrVCqSin4WyBjuaPRHN5UQZTLg9S5HocLPvagIXY5JJtjmp4O9Bp+r+\neMZeIHLNSlKj4gEwWE0YPC3oDQY8K5XDHNyIXc5y7L8Sy9nriQT4mOkYXJogHzOBWhL6pChUcjya\nVwnifSoSneIiMsmO1ainip8ZK3a0lBsonR6bxZ8Eu5s/whO5HJtCfIqdGqW9eSzICBcPE7dnN5rB\ngG+9uuj8AnCXqozb6su1RCdOpSjvZcR0Iwz7wQ04bQ486jfBHVCNvdGKi3HJVPbzoE6AFZ/4yyTu\nXIfb5sCnTUecpaoRkapwK4VSYNRp+Jr1ONxuzsakcjEuhUOX4ijlbeLpB8pRIjUC18m9KIcNfekg\n9F6+YLKidEbcVl/QGVAmD1x/W6UWb3cRl+rio20XuHD8OjEXQvAuW403X3iIJmXMJK5aiD0hGYPJ\niMvpxBabiNvmwKtiIF5VK6Jv2AFlsqI5HeCyobldKKOVGGUhxaFIcrhItDs5HZVETJKdsr5Wqvl7\nUD/mADf27cWRlIpv1XIY2vfnarJGVLIdb7MBq1GHUhCX6uRCbDJeJj1tgrzQ3wiFhBg0qxcur9Jg\nshCWoudiXAohV28Q6GOhc42SeMZfxrZ/E06bHaOHBc3qiaF0EDoPr7R/L4DevwxO/8r8ei6OY1fj\nuZHsoHKAJ12CS1PSqsd8bhcpp46y9+OtnEt0UMnDQLXGZak89i1Op1r4ZOdF4hNsuJ1uNE3D4mXC\ny2ygcRV/Ar1MNCrrhSUlGsfB30kOi0A5nXhWLIO+TT+uJTk5EZmEpkElXwteJj1eprSBdLcCl1I4\nXKDXgdWgwzPhKsRHYDsVQtK1KM78fIxzsSkkOxUNynnR6JPZhCSYmbJkN9Fn96PcaX/IHfr34pkm\nFalw8jdccdGYG7fH7VkSfWIE7thw3Dei0UxmdOWrowwWtLjrOK9fJvVqGKYSPhiaduOy3cyHW8+T\nYnPS44Eg6gZ6UdZ2HTSNOGsZolKcXIxLwctkoFoJC94mPebkCHT2ZFyepYhWVr48EEpYbCota5Si\nWQVfyl7aietGFIYyldD8yuD2LIlmi8d9ej+uuCgMFapDpYasDbURnWSncZAflXxNWBOu4Tx9AABj\nhRq4fMvyR6KJsPhUUp1ufMwGqpf0wNOoo6QJNHsSOlsiStNQFl+U0YJmT057PykWlAtl9cNt9kJZ\n/zr48G725z//f56wk9n7Obk2u+//fbGslsl7onjx9PLI+qIi4CV9lUw/X+C6kGUbBoOBMWPGsH79\n+gLfSbFIT7sa1HAQl29cZsvFLfhYjYUdjhBCCCGEEIXKw2rJtGTXO++8w9q1a3nrrbdITk7Ox4hv\nVqSTjz51+wCw4tgKfC2SfAghhBBCiHubstsyLVlZvXo1H3/8MQBWqxVN09Dr9fkddroiPe2qdcXW\n+Fv9+fXsryzooiNRxjGFEEIIIcQ9LCejG7fTsWNHxo0bR//+/XE6nYwfPx6z2XyHostakU4+HC7o\nULUDK46t4FT0KcpaK/9vHYIQQgghhBD3HmW356m+h4cHc+bMuUPR5FyRnnaVmOqgY9WOAGy4sAGT\noeCGhIQQQgghhChqrFZLpqWoK9LJR5LdScuKLQHYE7YHoyQfQgghhBDiHqZstkxLUVekp10l213c\nV6YmfhY/dofuxqAv0rmSEEIIIYQQ+ao4jG5kpkg/zbvcCqdL0bR8U87GnCU6JRq9rkiHLIQQQggh\nRL4x6bRMS1FX5J/kk+0umgU1A2BP6B70MvohhBBCCCHuVXZ75qWIK9LTrgCS7c705GN36G46VulU\nyBEJIYQQQghROCzFfNpVkU8+UuwumpZvCsDusN0y8iGEEEIIIe5ZWjFYVJ6ZIp98pDpc+Fr8CC4V\nzJ7QPSgUmqah5LwPIYQQQghxjynuIx/5OowQEhLCgAEDbnpvzZo1/Otf/8p2GwpI/d+6jwR7Aiej\nTsquV0IIIYQQ4p6k2W2ZlqIu357iFy9ezIQJE7D9bWjoxIkTrFy5MsejFskOJ83K/2/RedgeST6E\nEEIIIcQ9yWK1ZFqKunx7iq9YsSLz5s1Lfx0bG8vs2bMZP358jttKsbu4v+z9ABy+fljWfQghhBBC\niHuSZrdnWoq6fHuK79SpEwZD2pISl8vFm2++yfjx4/H09MxxW6kOF3VL10Wn6dKSDznrQwghhBBC\n3IOMOi3TUtQVyILzY8eOcenSJSZPnozNZuPs2bPMmDGDN998M1v1bU43FoOVmiVrEhIegqZpaBpp\nC0KEEEIIIYS4Rxg9rYUdQp4USPJRv359fvnlFwBCQ0N57bXXsp14/MnmcNGwTENORp3kYtxFSprK\n4na58yNcIYQQQgghiiaXo7AjyJNiM38p1eGiQWADAELCQ2TRuRBCCCGEuOcYvCyZlqIuX5/gg4KC\nWLFiRZbvZUfK/0Y+AEKuh8i6DyGEEEIIce9xOTIvRVyRP2TwT38f+Th0/ZCMfAghhBBCiHuOQdZ8\nFIxUh4vKJQMJ8gli55Wd6HT/W3QuhBBCCCHEvaIYjG5kptgMH7gVuNyKVhVbEZkcyeno0+j1+sIO\nSwghhBBCiAKjN+ozLUVdsUk+ABxOF60rtgZg2+VtMvVKCCGEEELcUwye1kxLZhwOB6NHj6Zfv370\n6tWLDRs2FFDUfylWT+/2fyYfhmIVvhBCCCGEEHnjdmReMvHTTz/h5+fHN998w+LFi5k2bVoBBf2X\nYrPmA8DhdFOndB38LH5su7QNvU6HS5MERAghhBBC3BvysuD80UcfpVOnTumvC2MJQ7F6cncrhVLQ\nqmIrLsRdICwhDM3sUdhhCSGEEEIIUTDysNWup6cnXl5eJCYmMmLECEaOHFlAQf+lWCUfAC6nm4cq\nPQTA1ktb0Vm8CjkiIYQQQgghCobBw5ppycq1a9cYOHAg3bt3p2vXrgUQ8c2KX/LhctG2clsANl3Y\nhM7qWbgBCSGEEEIIUUA0tyPTkpmoqCiee+45Ro8eTa9evQoo4psVqzUfAE6Xm4ZlGmI1WNl7dS+a\nqXgftCKEEEIIIUR26Uy5X6excOFC4uPj+eijj/joo48AWLx4MRaL5U6Fl6Vil3wopdBpeuqUrkPI\n9RCcyo1m8UQ5bIUdmhBCCCGEEPnK4JH7RGHChAlMmDDhDkaTc8Vu2hWAy+WmXul6ONwOTkefRufp\nU9ghCSGEEEIIke80tzPTUtQVu5EPAJc7LfkAOBpxlBpedXDFRRZyVEIIIYQQQuQvXR5GPoqCfB35\nCAkJYcCAAQCcOHGCfv36MWDAAJ5//nmioqJy3a7L5aZeYFrycSTiCDoP3zsSrxBCCCGEEEWZ5nZl\nWoq6fBv5WLx4MT/99BNWa9qC8BkzZvDWW29Rq1Ytli9fzuLFixk3blyu2v77yMeRiCPoPCX5EEII\nIYQQdz99NrbTLcrybeSjYsWKzJs3L/31+++/T61atYC07XLNZnOu23a53AR6BRLgEcCR8CNoHl4g\nJ50LIYQQQoi7nKZcmZaiLt+e2Dt16oTB8NfASunSpQE4ePAgX331FYMGDcpT+y532tSrC3EXSLQn\nofPwzlN7QgghhBBCFHU6ozHTUtQV6HDBr7/+yqRJk1i0aBH+/v55auvPHa8AjkUeQ5PkQwghhBBC\n3OX0VmumpagrsOTjxx9/5KuvvmLp0qVUqFAhz+3dtO4j/Ag6D9luVwghhBBC3N2K+7SrAtlq1+Vy\nMWPGDMqWLcvw4cMBePDBBxkxYkQe2vzHjldVuuJKuXFH4hVCCCGEEKIo0hXgaeT5IV+Tj6CgIFas\nWAHA3r1772jbLrebOgF10NAICQ9B5+WHK/rKHe1DCCGEEEKIokTDXdgh5EmxPGQQwOVW+Bg9qFu6\nLvvC9uHS68GQ+x20hBBCCCGEKOr01uI98lGs96d1uty0rNCSFGcKh64fQmf1KuyQhBBCCCGEyDea\ncmdairpinXy4XG5aVmwJwI7LOyT5EEIIIYQQdzWdyZBpKeqKdfLhdLloWeF/yceVHWgWST6EEEII\nIcTdS2e2ZlqKuqKfHmXC5XRTybcSZb3KsuPKDjBa0LSkwg5LCCGEEEKIfKHTiv7UqswU65EPBeC0\n0bJiS64nXufSjUuYDfrCDksIIYQQQoh8oZktmZairlgnHwAqNemmqVcmoyQfQgghhBDi7qTT3JmW\noq7YJx9uW/JfycflHZgl+RBCCCGEEHcpzWzOtBR1xXrNB4A7NYmG5RriZfJi3fl1mPQ6DDqtsMMS\nQgghhBDijtNUYUeQNxkmH+3bt8+0olIKnU7H77//fseDyhGnHX1qCo/XfJzlR5dzOPwwAd7VCzcm\nIYQQQggh8oFmNOa5jZCQEGbPns3SpUvvQEQ5k2HyYbFYWLRoUYYVlVIMGTIkX4LKKWdUKH3q9GH5\n0eV8vP9j3u84v7BDEkIIIYQQ4s4z5W073cWLF/PTTz9htRbOtrwZrvmYMmUK5cuXv6X4+vpSvnx5\ngoKCmDJlSkHGmiFn+EU613iMaiWq8XnI59ywR1A9QM78EEIIIYQQdxcti5KVihUrMm/evPwLMAsZ\nJh+NGzcGYNOmTbz33nskJSXx2GOP0b59e77//vubrilsKjUZLTqcN1q+gd1l57+7/suDFUsUdlhC\nCCGEEELcWSZL5iULnTp1wmAovGXfWe529eGHH9K1a1d+/fVX6tevz8aNG/nqq6+y1XhISAgDBgwA\n4NKlS/Tt25d+/foxadIk3O47uxWYPewMzzR4hlIepfjyjy8p52vGQ3a+EkIIIYQQd5G8jnwUtmxt\ntRscHMzmzZtp164dnp6eOByOLOssXryYCRMmYLPZAJg1axYjR47km2++QSnFhg0b8hb5P6jkeIxO\nB93v605EUgS7QndRyd/jjvYhhBBCCCFEoTKZMy9FXJbJR6lSpZg2bRpHjx6ldevWvP3225QrVy7L\nhv85n+zYsWM0adIEgDZt2rBz5848hH177sQ4egb3BGD1ydVU8ve8430IIYQQQghRWLQs/lfUZTjh\nKzExES8vL/7zn//w+++/M3DgQDw8PKhQoQLDhg3LsuFOnToRGhqa/lophaal/UA8PT1JSEi4A+Hf\nzJ0YS/uq7fE2efPDyR94p/27pKak3vF+hBBCCCGEKBR3YKvdoKAgVqxYkeN6AwcOzPIaTdP44osv\nMvw8w+TjlVdeAaBZs2a0adOGSpUqAdC/f/+cxgmATvfXIEtSUhI+Pj65aiczypGKHiOda3Tm22Pf\ncizqKDV976PoHzQvhBBCCCFE1jRj1ovK88v169eZPn16hp8rpXjrrbcybSPD5OPTTz8lOTmZXbt2\n8c0333Dq1CmqV69OmzZtaNGiBV5eOdvKtnbt2uzZs4emTZuydetWmjVrlqP62ZVid9IjuAffHvuW\n1SdXM77leOz50pMQQgghhBAFSyvEmVWvvvoqTZo0SZ8hdTsjR47MtI1M13x4eHjQvn17pkyZwvLl\ny3n22WcJCwvj1VdfzXGwY8aMYd68efzrX//C4XDQqVOnHLeRHSl2J51rdMaoM/LLmV/Q62XHKyGE\nEEIIcZcwmjMv+WT69OksWbKECRMm8MQTT7Bw4cLbXte5c+dM28lyk1+73c727duJj48HoESJEnTp\n0iVbQf59PlmVKlWyvUVvXtidbvwNXjQo04DD1w/jcDvQ8ngSpBBCCCGEEEWBVkhDHxcuXOCDDz7g\nyy+/ZO3atQwaNIihQ4fmuJ0sk48XX3wRpRTly5e/6f0ePXrkuLOCkmhz0rhsY/Zf3c/RiKPU8bjz\n60uEEEIIIYQocIW0na6vry93lkkUAAAgAElEQVQRERGMGzeO7777juDg4Fy1k2XyERsby08//ZSr\nxgtLfKqDxuUawwHYF7aPehUeLeyQhBBCCCGEyLPCGvl4//330w8Jf/TRR/H29gbSdsi9du0aNWrU\nyFY7WZ7z0axZM3bu3HnHTyTPT4k2Jw3KNADgSMQRdFY570MIIYQQQtwFDMbMSz76c/fa3377jbFj\nxxITE0Pnzp0ZMWJEhmtAbmkjqwvKlSvHc889R506dahVqxbBwcHUqlUrb5HnsySbk1ql0mI8FnkM\nzZKznbmEEEIIIYQoipTOmGkpCMuWLeO1117j559/pn379qxZs4Z169Zlq26W065WrFjBxo0bs3Wq\neVGR7HBhNXhQxa8KxyKOoTNZ0Iymwg5LCCGEEEKIvCnMvXb/pnTp0mzZsoWBAwdiMBiw2WzZqpfl\nyEdAQAB+fn55DrAgKQWxKXbqlq5LZHIkkUmR6H1LFnZYQgghhBBC5I3OkHkpANWrV2fIkCGEhobS\nvHlzRo4cSf369bNVN8sI/fz8ePzxx3nggQcw/u0491mzZuU+4gIQlWinTkAd1pxew7HIYzTyKwVJ\nkYUdlhBCCCGEELmnK7yRj3PnzlGtWjVmzpzJoUOHqFGjBiaTiW7dutGmTZtstZFl8tG2bVvatm2b\n11gLXFSSjTql6wBwLOIYTfya4pLkQwghhBBCFGMFta7jdpYsWcK5c+cIDg6mTZs2mExpyxratWuX\n7TYyTD7ef/99XnvtNXr27Jlh5T+vKYr+HPmAtEXnhqAuuMIKOSghhBBCCCHyohDXfMyYMQOAkydP\nsnXrVr766iv0ej0tWrSgdevWVK9ePcs2Mkw+vv/++/RsJrNrimzykWSjY61gdJqOY5HH0PvJmg8h\nhBBCCFG8qQJa15GZ4OBggoODGTx4MImJiezcuZMvvviCadOmZVk3w+j79OmTZeXsXFNYYpPtmPUW\nqvhV4XjkcfQe3qAvvGEqIYQQQggh8qwIJB8xMTH88ssv3LhxI/29wMDAbNXNMPphw4blPbJC5FZp\nJ53XDqjNmtNriEyKxMPTt7DDEkIIIYQQIveKwFa7L774IjVr1qR8+fI5rlv4qVM+ik1xUKtULdac\nXsOJqBM86OmDKuyghBBCCCGEyCWlLxqP77nd+bZAo3c4HIwdO5awsDB0Oh3Tpk2jWrVq+dZfXEra\nyAfAicgTNCvVGme+9SaEEEIIIUQ+07I8pi/fdejQge+++45mzZqh1+vT38/OoeRZJh+ffPIJ3bt3\nJyAgIG9RAlu2bMHpdLJ8+XJ27NjBBx98wLx58/LcbkbiUuzUCqgFwImoE+gqdcm3voQQQgghhMh3\nWuGPfCQnJzNz5kxKlCiR/p6maWzYsCHLullGn5qayoABA6hYsSI9e/akQ4cONx02mBNVqlTB5XLh\ndrtJTEzEYMjfH15csoNGFYMBOB55HJ2nLyTF52ufQgghhBBC5Bely/3Ih9vtZvLkyZw6dQqTycT0\n6dOpVKlSjtvZtGkTu3btwmKx5Lhulk//w4YNY9iwYezfv5+ff/6ZefPm0axZM3r37k2tWrVy1JmH\nhwdhYWE89thjxMbGsnDhwhwHnBNxqQ68Td4E+QRxIuoEmtVLkg8hhBBCCFF86fRZX5OB33//Hbvd\nzrfffsvhw4d5++23WbBgQY7bKV++PDdu3Mif5APShlZCQ0O5cuUKOp0OX19fZsyYwf3338/rr7+e\n7c4+//xzWrVqxeuvv861a9d45plnWLNmDWazOceBZ4fLrVBKUatULdafX0+CPQGjbLcrhBBCCCGK\nKZWHaVcHDhygdevWADRs2JCjR4/mqh2Hw0GXLl2oUaPGTTOivvzyyyzrZhn9qFGj2L17N23atOGl\nl16icePGANjt9vREIrt8fHzSA/T19cXpdOJyubJdPzfc7r+Sj5NRJ2ngXZ387VEIIYQQQoh8kodp\nV4mJiXh5eaW/1uv1OJ3OHC+FGDp0aK5jyLKnZs2aMXXqVDw8PNLfs9vtmEwmfvnllxx1NmjQIMaP\nH0+/fv1wOBy8+uqrN7WbH9xu9007Xt3vF4zstyuEEEIIIYojdx6eY728vEhKSvqrLbc7R4nH2LFj\nefvtt2nSpEmW12Qky96+++47evXqdVOQTz75JGvWrMnxDlienp7MmTMnR3XySrnd6TteHY88jlbr\nKXBI9iGEEEIIIYoft8r9c+wDDzzApk2b6Ny5M4cPH6ZmzZo5qr9p0ybGjRuX5TWZyTD5GDhwIHv3\n7gUgODj4rwoGA+3atctJnIXqz2lX8L/tdvUGcDgKOSohhBBCCCFyzpWH79AfeeQRduzYQZ8+fVBK\nMXPmzBzVHzt2bJbXZDYqApkkH38uGJk+fToTJkzIUWBFidvtJsArgLJeZdkVugul06EVgWPphRBC\nCCGEyCmVh5EPnU7H1KlTc12/Z8+eua77pwyTj02bNvHwww9Tp04dVq9efcvnPXr0yHPnBcWVFEe3\n+7rx8YGP2X55O83KNscpq86FEEIIIUQxk5eRj6Igw+XyR44cAWDv3r3s2bPnllKcuOIi6V27NwBz\n987N9SGJQgghhBBCFCaXW2VairoMRz5GjBgBwKxZszh+/Di1a9cmISGBo0eP0rx58wIL8E5wxlzj\n4eDWNA9qzvcnvmdP2G4alb4fpy2xsEMTQgghhBAi29yFHQDwxx9/UL9+/fTXqampfPDBB9laE5Ll\nRsH/+c9/mD17NgApKSl89NFHzJs3Lw/hFgKnnZSTB3j3kXcBmLh5IkajKU9N6jQI9DZTwc+KQSdr\nSIQQQgghRP5zuzMvBWH06NEcOnQIgC1bttC5c2fi4+OzVTfLrXY3bdrEjz/+CEDp0qX57LPP6Nmz\nJ8OHD89DyAUv5dg+Wj45hBYVWrDxwkYiU6LwMZpw21Nz3FalEh60rV6KG/YIkh0JBHlX4UKUjKII\nURg0DTrVDqRkvbIc/MPMz4ejCzskIYQQIt/kZavdO2XhwoUMHz6cChUqEBoayrvvvpt+EHlWshz5\ncDqdpKb+9YDuKKbb1CqHHWdUGD2De+JWbn4+/TN6kyXH7VQr5UnbGt4M/20wQe8HUWNeDd7bOZNq\nAV5ZVxZCpKtW0pOHawYQ6G3OdRs6TaNqgDcBJS6y7OI0HulQln93a3gHoxRCCCGKFrfKvOSnq1ev\ncvXqVcxmM5MnT+bIkSO8/PLLlCtXjqtXr2arjSxHPvr06cMTTzyRfrbH1q1b6d+/f94iLyTOyFAe\nq/4Yo9ePZtPFTTxT9+kc1dfrNDrXKcOra4fx2eHPqB1Qm+uJ15m4eSJNg5rycMV2OJOybkeIe12N\n0t5cTTpFeOxBet//FA6HDnI+CElJbyu/nv2JXt/1wq3crD23lsNDD3M6vHh+SSKEEEJkpTB3u3r6\n6afTj6xQSmEymXj33bRlDZqmsWHDhizbyDL5GDRoEI0aNWLfvn0YjUbee+89ateuncfQC4crLoJa\n9Vrhb/Vn++Xt6AxGIPvrNeqV9eVc3BE+OfgJdQLqcGDwAY5FHqPpJ0159sdnOfbvY1iNZpRdMhAh\nMmI1GbnhjKL9l+2JSo5iyaEl/D7gd9yGnK3DslpMHAjfR7/v++Fh9KC6f3UOXz/Mezve49Wmb4Iz\nJZ/uQAghhCg8hbmh1caNG4G/juTIjSynXSmlOHLkCIcOHWLXrl3s27cPd0GtZrnDlD0VXG5aVmjJ\nxbiLhCWEocvBwvP65Xx5fd3rKBRzH5vLpRg7VXzrMqH1BK4mXGXh/oUYPH3y8Q6EKN70Oh0mk0af\nVX2ISo4CYNvlbSzYvwCjt3+227GYTZy/cY5uy7phd9lZ0WsF257dRklrSRYfXIyPJcvvVYQQQohi\nyaVUpqUg/LkZVW5kmXy8++67bN++nR49evDEE0+wZ8+eHB/FXpS4HTZaVWwFwI7LO9AZszff3GQy\nEBJ+gC2XtvBo9UdpEfQQB8Pi2Hs5lpHNRuJl8mL+vvm49Ho0g5wjIsQ/6TTw9DDx1qa32H55O0/V\neYrI0ZF4Gj15Z8c7uE0mNItnlu2YjAYiUq/TYWkHIpMjWdBlAQ1KtyUpWU/7qu25lniNc7Hn0Bsk\nARFCCHH3Kcw1H3+qUKEC48aNY/ny5axevTq9ZEeWyceOHTv48MMPad++PR06dGDu3Lns2LEjz0EX\nFpfT/lfycWUHelM2kw+Dni9CvgBgZNORHLsej8OliEi0gfJgUINBhMaHsvrUavRe2f8GV4h7Rdr6\njF95d+e71PCvweKuiynlUYpBDQdxLfEamy9uxhBQIdM2dHod6N08ueJJQuNDeafDOwxq8AIfbTnH\nnpPhtKnYBoCtl7ai00vyITKn12mU8bXSpGIJggO9sRj1hR2SEEJkya1UpqUglChRAoCQkJAcH0Ke\n5W9nl8uF0+nEZDKlv9brc/8f6I8//piNGzficDjo27cvvXv3znVbueF22GlUthFmvZnNFzdnb9qV\nTo9er+O3s7/hbfKmXZV2rAq5nv7xpdgkhjcdzof7PuT9Xe/TK/hJiI/Nx7sQonjx8zARmRLGwB8G\nYtab+a73d1yN09h0/Sq9avdi/r75rDqxinatp2E/H3LbNjSdDovFzNCfh7I3bC8DGwzk9WajOBeV\nSEyyg+NX4mjfogkARyKOoKuX5Xcr4h6mGYz4e1v5+uhX7AndQ1nvsgxpNASLwQ+VXNjRCSFExgpq\nalVmZs2aBcCNGzfw9fXNUd0sfzt37dqVgQMHsnTpUpYuXcozzzxDly5dchXonj17OHToEMuWLWPp\n0qVcv34960p3mHI5MeqMtK/aniMRRzgXez7L0Q+9tz/nY89zLvYc7au2J8muSLQ50z+/Fp9KFd/q\ndK3ZlT1he9gVthuDOefb+BY3Rp1Gs8r+dK1Xlgp+1sIORxRRFqMeb6vGUyufIjY1lg87f0hVv9qE\nXI3j6LV4WldsTYBHAKtPrgZvfzSzx23bMXl58+mhT1l0cBENyzRkQecFxCalYnemrUELi0qiun91\nAM7EnEGnk+RDZMzoV5oP983jmdXP8NH+j3hr01u0/aItye4E9B7ehR2eEEJkqCgcMnjy5EkeffRR\nunfvTnh4OI888gjHjh3LVt0sfzsPHTqUf//731y9epWwsDCGDh3KSy+9lKtAt2/fTs2aNXn55ZcZ\nOnQobdu2zVU7eeV0uuhdO23E5duj36LPIlHQ+ZRk7bm1ADxa7VEux968i45SEJlo4/XmrwMwe9ds\njBYr2l188LnZoKNdzdIYLadYe/Fj2lT3prRX7s9rEHcnnaYR6GNl7O9j2Ru2lwH1B/Bsg+c4HZGA\nW8GNFAfhCXZ6BPcgPCmcnVd2YgiseEs7Ji8fDoQf4uVfX8bf6s/3T32PThlIdbjSr7kak0wJawlK\nWktyNuYsmk7HXf2P8A67239SvlYjZX0sWI169N4liHElMWHTBEp5lGLzM5sZ0mgIxyOP03VZV9xW\nzwyTYCGEKGxOt8q0FIRp06Yxf/58/Pz8CAwMZPLkyUyaNClbdTNMPvbt25derFYr7dq1o3379nh6\nerJv375cBRobG8vRo0eZM2cOU6ZMYdSoUahCGDpyOl30DO6Jh9GDTw99imYwpD2oZED/t+SjU/VO\nXIm9dUw+KtFG64qtaVK+CatPrmbL5W34e96dox+aplG9tDcL9s/hoc8fYuyGsby5YTyNK5Yo7NDu\nWTpNo6yPhUr+HphNRWetQ0kvM2tO/8gHez6gdkBtFnRZQGKKLX20AuB0RCJP1HoCgO9PfI+hdKWb\n2tB7+hHjSuTJFU/icDlY9uQygrwqYLc7b7ou2eYkJj5t9ONC7AVcyoVOdp/LkqZB5wblmP1kfd7u\nUZcWlf3R6+6uVKRagCezetTDaLqMXYvCZrUwbcs0Eu2JTGg9gYcqP8S8x+bTp24fdl7ZyWvrXsNY\nKijT3wtCCFFYisJuVykpKVSrVi39dcuWLbHb7dmqm+FTyty5czOspGkaX375ZQ5CTOPn50fVqlUx\nmUxUrVoVs9lMTEwMJUuWzHFbeeF2u/E2e9GnTh+WHF7CxgsbeSjwQdwpibdcq/fwQjN7sPXSVqqV\nqEYFn0qsO36Rf/5udrkVTqeLeY/No9knzRjy8xAODTlEpZKe2GzZ+8O4kzxMesr7WkiwObO+OIdM\nFitfhHzGqPWjKGktSXRKNPP3zef1Fq/jYQoACn8u4r3EYjJSxVvPoesH+fbkenoE9yDY/z7sqQmF\nGpdOp0MzuBj+f8OxGqx81/s79MpEstN203WnIxIY1KwdvmZfVp1YxeyO76GFp33rrPP2x+7lRe9v\nOhMaH8rMdjNpX6UDSUm3P5EwNDyWGiVrsCdsD1duXMHPpwRcu5bv91qc/btdDQJK3qDv9z24nnid\n/3T8D7UCmwGuLOsWBxowoEklxm98g/d3v3/TZ9VKVGNwo8FsPRdJCauJT7t9yvHI4yzYv4Cm5Zsy\noG5/dDdSsBr1lPCQXQyFEEVDQY1uZMbPz4+TJ0+mHzj4008/ZXvtR4bJx9KlS+9MdH/TqFEjvvzy\nS5599lkiIiJISUnBz8/vjveTHQ6HncGNBrPk8BIWHVxE+ycexh4bfst15nIVOBtzlrjUODrX6Ex4\nfCpOt8Kkv/WbQbvdQePA+xnRdARz9syh6pyqvN3hbQbUG4g9qWC+SdRp0KKyP5X8LThcDhJtOpJS\n71zyozOaSXIlM+b3MXibvNn74l62XNzCcz89x/y985nSdgbOQki27lWa2ROlt/HQ54+yK3QXAFO3\nTmVl75U8Xr0zztQkdAYTFotGU4uJmgF2/rh6o0BiMxiNfPnHl4QlhDG6xWiq+d1HSortluviUhxo\nSk/v2r355NAnzN/3EcMb/xuAaFsc3ZY+wq7QXfSq3YsxLceQfJs2/hQaHkf1En+t+2jmXTj/fSku\nGlb0o3IZJ3UXNCUmJQaAvqv6cuLlE+hdd8c0Si+LkejUi/x393/xMnnxcOWHcSkXfha/tL9PNh3x\nqU7cbqjoZ2HVU6tovKgxQ38Zyn2l7qNZUDNGtLXicDmISFC4nHf+Cx0hhMgJh6vwz9ubPHkyY8aM\n4cyZMzRu3JhKlSpl++yPLOdnhIWFMWHCBMLCwvj66695/fXXmTlzJkFBQTkO9OGHH2bfvn306tUL\npRQTJ07M085ZeeG0O3iw3IPUK12P1SdXE5kSTYnbzPE1l6/Apqtp08yalGtC2I3MT012xMfwTod3\nSHWm8vGBj3nux+cILhVMI58aOPLlTm52f1AJzsQeoO2cf3E98Toz2s3gtWajsCcn35HxCIOXLx/t\nnUN0SjTTH55OOa9K9K3Xl7EbxrLo4CImPjQRnU62qywohhKBTN8ykV2hu3io0kPUK12PJYeX8OSK\nJ3nu/ufoWK0j1xOvcyT8CHaXncp+lRnRdARnItyQr38jNQxGA18d+QqAYU2GcSPZjimDHDwx1c7U\nh6ey8sRKXvntFdafX0/DwIZ8EfIFV+Kv0L9ef5Z0W4Ld5sCdyTc+oeGxVK+RlnycjTlLS5/Gd/zO\n7iaP1C7Dxwc+ICYlhqltp6JQTNo8ic8OfcbLjYffFWMf3hYjn+79FoViYZeF9K/fH7fDBkqR7NJx\nKeavabTxyXYq+Vbh6ye+puuyrjT/tDnV/atjc9pIcaawpu8agkvcX4h3I4QQ4Cr8gQ8qVqzIsmXL\nSE5Oxu124+Xlle26WSYfEydO5Pnnn2f27NmUKlWKxx9/nDFjxvD111/nKtg33ngjV/XuPIXbnsrg\nRoMZ/n/D+SLkC15vOPSWq8xlynPgQtp6j8blGnM17vbTPf7kdtjQx4SzoMsCnqz1JB2/6sj8ffP5\nouun+XIXf1fGx0K8PZTHvn6MeFs8Bp2BMb+PIdAzkP51+5Px98XZoxkt2HTw393/xcfsw7Amw1hx\n8AqtqpXipcYvMWXLFL4+8jXP1n+Ows/J7x6aBvcH+VGrjA9mvYbe7oQkDX3J8lxKusacPXOo5FuJ\n357+DYvBQu86ven9XW8+PvAxHx/4+Jb2Dlw7wLe9VuGKj8m3mHVWL8ISwthycQutK7amvHcFQqMT\nMZlvn5im2J0EWr3Z/Mxmnv7haX4+/TM/n/4ZDY3pD09nbKsxOJKScGmZT325cj2Gx5v+lXzoaz1y\nx+/tblHay0xwWU8WfbsIX7MvrzV/jVRnKjO3zWThgYW80vQVXIW45sHTemdGXrwsBladWIVJb6Lr\nfV0Ji02iZNJV0DQSrWVu+VImOcXGY1U78nO/n3l/1/tsubQFpztttOO1ta+x7dkd2GQtiBCiEBXm\nyMe4ceNuec9gMFChQgX69u2Lt3fWuwVm+V/Q2NhYWrVKO5RP0zSeeuopEhNvXRtRHDlTk+hXrx9G\nnZFlR5ehs3rBPw4mM5UK5HjUcQDqlK5DRELWj/BuWxIpcdG0r9KeGv41WHl8JYmuVHR+AflyHwAG\nvY4Abz19VvUh3hbP590/59SwU3ibvBm5diSJzkR03nk7/FDvU5Ilh5YQmRzJsAeH4XBZuBKXwr5L\nsbz4wIvoNT0fH/gYg0EP2r3xy9mk12HIx8W5Og0Gt6pK3QpJzN49ia+PLSHUFYu5cl2SfP3o930/\n7C47s9rPIj4FDl6OoWnZFoS9Fsa2Z7cx/eHpfNb9Mw4POcypYadoVLYRP576kS2XNmC0Zn2aeK7j\n9irBt0fTvm3uV68fialZj7LYY8OpZTNxePAhzgw/w+fdP+fw0MOMaz4a+4043I6s27jyvzUfkJZ8\nGHxkE4SMNK9akh9O/sC1xGsMajiI8HhwuTx5qs5TnI4+zeZLmzFYsv9N1p1SNsCPhRMHsfnzcbzS\ntnqeDv7Tm8yciznLH+F/0LFaRwyax02bHdyOAmzR1+gY2JT1T68jYlQEEaMi6FitI7tCd3E25jR6\n39K5jkkIIfLKpTIvebF+/Xpef/31DD9v0qTJLeX+++8nOjqakSNHZquPLEc+LBYL169fT19Qsn//\n/vQDB4s7t8OOn3cgnap34ufTP3Mq5jSVAirA6fMA6EwmDCX8ORZxjHLe5fA1+xKVeB1fz2zcv1Kk\nOFwMqD+AiZsn8sOJH+hT7gHs10Lz5V68PUx8uHcO+6/uZ2CDgfyrztMk2py80fIN3tr0Ft8d+45B\n5drjuHouV+1rBiMus5X3dr6HxWDhlWavcDoibUHzmchEutStweM1H+fHUz9y4NoBGniWw50Udydv\nsUjxthjo0aAczSr7Y9DrSHU4UUl3fi74o7XKYOc8zT9tnz4nX0PjxQdeZFfoLo5EHGFA/QH0rv0U\nB6/EodM0ElNseGgOmvjWoumDDXHqTCTaXLg1jU+6fUKjRY0YtW4Uh4ccxpEPp4BrRjOa1YelfyzF\noDPQq3YvErKRfADYzx1GnT1EhSp16V/+YZSmwx5+EWXxAV3WsYaGx+Jv9aeEpQRnYs6g9/aT7XYz\n0DDIj8G/LgNgcKPBbD4dgb+niaGNh7L0j6UsObSEtt1aFWhMFpOeeW8O5P/CVtLpvXH8u/G/mdx2\nKin63C321htN/PDHDwA8WetJrsenZm9LYeXGFReO3eHCpvPEpkz0rduXdefW8euZXxlerVeu4hFC\niDvBmU+HeUyfPp3t27dTq1atDK/p2bNnhp9l9xzALL+eHjduHEOGDOHixYt0796dUaNGMWHChGw1\nXhy4UpPpW7cvAMuPLsdQtkr6Z94Vy5FgT+RK/BXqBNQhwebM0Q4DiakO+tXrB8A3R7/BWK4a+bGb\nvqZpaDo3s7bPws/ix387/Zct56L4v+PXGdhgYHr/hlLlc92HwacUy44u4/KNy7z4wIt4G/0J/98o\nkFJwMjyBIY2GAPDJwU/Qe929C31Neh0j2lbnWuomHljUkFLvlmLF8W8wed3Zg8lKeBgp6+ui49KO\nxKbEMu3hacxsN5PKfpVZdHARRyKOMLTRUD7r/hlX41Kx/e0bXaUUrpQEHAmxpNocpNidHLgSSzW/\nOvSq3YsjEUfYHbYbQ8lydzRmAHPVWhwMP0RIeAjd7uuGr9n/pvM4suS047oRgSsuPC2BzcG2gQnJ\nNuKTbFT3r8752PO4NQ29bLd7C4tRh6fFxdqzawkuFUz1EsEcvBLHvkuxNC3fjMp+lfnp1E/YcaMr\nwH/L/drW4ILtKEN+HkJMSgzTt03nVPQJ9CVyN9KgMxjZeWUnQNr6p2yMXP+Tw+Vmx/lo2lVpB8Cm\ni5vQ+eRtFFkIIfLC7VaZltx64IEHmDx5co7rRUZGsmzZMjw9szejIsPkIy4u7VvrevXqsXLlSlas\nWME777zDunXraNCgQY4DK6qctmS63dcNq8HKsqPL0Jcsh/a/Qwd9q1XieGTalKvaAbWJS8nZAt0U\nm5PKflVpWr4pv5//nQhnPMYyfx2g1rSyP2/0qEuHhrlPCgCMRj0bL2wkOiWaZxo8g9PlycWYZM5E\nJFLaozyNyzVmx+UdJCtnrqZeGX1LcUPnZPKWyfw/e+cdHlWV/vHPnT6Z9F5JI0DovSNNqoAFVCwo\nNtbCLq4Vy7rq6qqw/OzKrrqoFBVcCyI2ihTpvSeUkN7bZPrcO/f3x0hoSUggCYncz/OchyRzZu4J\nk5k53/O+7/fVqDQ8NvAxCs1n174cKapidPLo052qdYZ6nVS3RtpH+LE+6wdu+vImDhUfotReyozv\nZpBefgxNI27U2gT5MOe3ORTbinlpxEs8e9WzPDrgCfY9sI/3r3mfpVOW8u64tzFbndhcF466eGQ4\nWFDFvT3uBeCz/Z+hDmj8VEBDSlc+3PUhAPf2uJcqe/O6n+WWWGgb3BaX5CLHnIMmUNkonotJp2FL\nzhbsop0JKRM4nFeJU/Rgc0kUVjm5qeNNVLmq+OnYT2giE5ptXVf3iOXFdS8CcFf3uwDYmLXx4v5O\n1RoEtZqd+TuJ8o0i2i+ayga+h58ip8JGjF8cSUFJrM9cD3ojgs54UY+loKCgcKm4PXKd40IsW7aM\nCRMmnDX27dvH+PHjq8jXa1kAACAASURBVDOdGkJmZib79u1jzpw59Zpfq/gYM2YMDz/8MBs2bECj\n0ZCSkkKHDh3+MClXp5BFNz5qAxPbTyS9NJ29RfsxJnUAIKhdErvzdwPQI7IHpdaGbaJkvNGP27ve\njkf2MH/HfAwdegGg8zHRrY2TlXlvMW1MJCPaX/wmUKtR8+WhLwG4seONZJRaAW8TmuxyGyMTR+L2\nuNmQtQFNaP1PugVBwGjyZW3eZrrP787JipPMHjSbWN+Y84SY1SVRYReZ2G4ihdZCtuVu89bQ/MFQ\nCRDlb+DJVU+iVWnZOWMnX930FU7JyW1f3YZTp0ETGI6g8b5OjDoNySEm/A0NFGIqNQEGDYv3LybQ\nEMgjAx5hd3Y5uWVWNFYH96bcwPURA3AXZiA2oPDseImFoQlDMWqM/Jr5q/dUuxHdydRBYTj9TCzZ\nv4Q4/zhGJY3CXM+Uq8Yit9RCSvAZdR8Bly4+NCqBrtEBdI70x3gJNQgtBR+dhh15OwDoF9uPtILT\nPWGyyu3c2OlGAJYeWoo2MrHGx2hs/AwaZLWVX0/+St+Yvjw6wJtzvDFrI+rA0AY/nto/hGJbMTnm\nHHpF96Kg0n7R3vhuSSarzMaQNkOodFZypOQI6oCGr0lBQUGhMbhU8XHjjTeyYsWKs0bXrl0vej29\ne/fmlVdeISEhoV7zaxUfv/76K8OHD+fjjz9m5MiRvPnmm2RnZ1/0wloyktPJ1E5TAW/KkKlrPxAE\ngtolsyt/FwA9o3pSam14yL7c5uKu7ncR6hPKG1vewOpnQhffmVJ3BX0/6MvLG15mytIpXN8tmotJ\nyRIEFR48fH3ka6J8o+gf25/sitN2wJllXvEBsPrEatT1TLNRa9QYTT78Z/cHjF08lnxLPs9d9Rx/\nH/ocTvv5Hd4B8swOxqWMA2BNxhpUhvOti1s7vgYtu/J3klaaxuSOk+kU1oWJ7a7lvp73sbtgN93n\nd+frkz8h+flh8vUhvfIAJ6t+45ae0YzvFFnvztEqox/7ivaRbc5mfMp4Kmxg+b1hpEd0I5UXIhZl\ngtiwjX2lQ8ThFhjUZhAHig5QYi9DF35pqVc6tQqNWgUIGJI6s+zgMqpcVdzd425corcBZ3OSV+qN\nfIC314cm8NKamPpo1dzQNYZAv0z2lnxLhwgfVKb6NVJqqRh13ogAeF38MopPm4hkV9jpEdmTxMBE\nb+qVwYDmIjb/DSXAqOPn4z8jyRLXd7ie1LBUAg2BbMnZ8rtIbpiJhToglJ153t+xV1QvTpbW/L5V\nXzJKrfSP7Q/gXZMiPhQUFC4THlmuc7R0an03NxqNXHvttXz00Ud8/vnn+Pr6MnPmTO68806+++67\n5lxjkyM6HVyTcg0JgQl8tPsjinUSEUMHENguiR35OzBoDKSGpVLSwMgHgMMtoVPpeWzAY1Q6K5m3\naR5yQAjTv51Oqb0UgA1ZGzhadhi1tuFpSmqtlnWZ6yizlzE5dTKVDgn7Gfn1J8usDGozCJ1ax+qM\n1WiCI7mQyNHrdTgFF3d8eycPfP8AIcYQNty1gb8PegqxvBhPLYVOxVVOroq/CoB1metQ1dA3pbVj\n0mtYdmgZALd2vpU16cUcyKvk3fHv8kj/R8iszOSmL2/C7xU/4t+Ip88HfRi/ZDxt325LqXMPQ5Pr\nt2FRGUysO7kOgHFtx5FW2HjdyrPLbQyNHwrA5pzNaCMb3rPnFF0i/emfEAQaJ7q49hhSuvHBrg8Q\nELir+131LjRvTHJLLNWOV+ml6WiDLl58GLVqukQH8MbWV+n3YT/u/OZO/vbrs+gSOtdYyO6r1xAd\naCTIpEetEtCohHoLzubEqFWzK38XwcZg4gPiOVlsrb7NJXkot7u5qdNNWFwWfjr+E4bfo8FNiZ9e\nU90o86r4q1AJKnpF9eJo2VHMLgsq/4Y9jyr/0GqB1SuqF5ml1gvco27OFB+bszcrkQ8FBYXLhlvy\n1DlaOvU6SgoPD+eee+7h3//+NwkJCTV6/LZmZI+ESnTz9OCncUpO5vw2hy7PPUqZx8zegr30j+2P\nCnX1yXNDsTvdPNjnQaL9onlpw0tE/180Px77kbFtx/LpdZ8CsCJ9BWpNw1Pa1FpddcrVlI5TzqvF\nKLG60KkMDIwbyJ6CPRQ7K1D51Ww/qlar8DUZ+DVrLV3nd2XRvkX0jenL5ns20ye4I+6CDGSxdgFW\nanMS6hNGh9AO/Jb1G5JKdVG5gy0Zo07DT8d/Qq/WMzJpJAfyKym3uykyu5h79WscfPAgD/V5iIFx\nA6l0VDI6eTQP9H6AvKo8xi8Zj10qQFcPkSnojNUbpz7Rfcguv7RT2zPJrbTTL6Yf4D3B1UVcXM1R\ndICBuGA3fT/sS/CcYJ5Z8ywHiw6yOWczo5NH08Y/rl61KI1NdnEV7UPaA5BWmnbRkQ+tWiApzJe/\n/foMf1v7N0J9QhEQ+L/N/0exaEEXk3DW/AAfLcnhOhbsfYd1WStJCPWlW2wg13eJpmdcUItx3RLU\nGhyig+Nlx+ka0ZVyq+u897Yis4MbO3pTr7489CX6+HZNvi5fvYatuVvRqrT0iOxBRk4xvaK8aaq7\n8nehbqBVuTogtDq1rFd0L06WXWLko8RK5/DO+Gh92JK7BbV/CE1hIKKgoKBwITxy3eNS6NevH6+/\n/nrjLLQWLig+zGYzS5cuZdq0adx1111ER0ezevXqJl3U5cBtNXNHtzuID4jn/R3vk1GewQ/HfkBG\nZkLKBETx4nv9ipIHowRfTPmCtsFt0ag0PND7Ab6Y8gXjU8YD8MuJX1BpGhb5UAkCHkHmq8NfEW4K\nZ3CbwRRUnd8E0eYSub7D9cjI/HvHv9FGnJ/DrTH44FF7mPbNNEYvGk2OOYfnrnqODdM30EYbjLs0\nHy7QI90jg9MtMTR+KFa31bth0LT+/PhTqHRGiqyF7Cvcx9CEoTjdmuq+Lw63hKOyggRNMG+OmMOG\n6euomF3BT7f/xHvXvMcHEz/A5rbx/K/PY9BdwDZUEKrFh6/Ol5SQFPIq625u2RDyKh30jemLgPC7\n+Gh45ENQq0kIMTB56eRqkfTW1reYt3keAPf1vA+3u/mFB0BOcRVBxiDCTeGklaR5az4uoilcRICR\n+Tve5bXfXqNdSDv23r+XN8a+gSRLLNm/BJ/2p4031BoNvgaZkZ+O5LFfHuOGpTcQ/q9w/F/1J+b/\nYtiQvQKDsWUUKKvUGtJK05CR6Rjakdxy+3lzii1OekT2INY/lpVHVyIEBaP2bbpUM0GlRkZid/5u\nukZ0RXTBj7/tp3e0t0P9zvydaBoiPjRaVL6BZxWbZ5VdWuSjzObGLQn0ie7DwaKDVIk2hD9gaqmC\ngkLLx+3x1DlaOrV+Iq9cuZL777+fUaNGsWfPHmbNmsUPP/zAn/70JyIiIppzjc2CLIlonE5eGfkK\nLsnFk6ueZMGeBQBMaj8J9yWIDwC3uZR+2mjSH0oj/9F83hnzFsv3luOrDSQ1NJXteduRkRF0hno/\nplan4du0bym2FXNL51uwuzxn2a2eouL3upNAQyD/2vwvcj1VqINjvCexKhVa/2DKsDHi0xEs2b+E\nfjH92HbvNv5+1XNIDieitbLea3K4pdOpVyfXoWqCPhKXC0FvYEPmBgCGJwznSA2pUJLdgrs0D0dx\nLlaLjcJyC6vTi5jW9Q7i/OP4Nu1bZCTQ1C5AVKZAbKKdIyVH6BHZgyqHRNVFRt1qoqjKga/Onw6h\nHdietx18TKhMDbMJ1vmYeHfbO2zM2siUjlOYc/UcrG4rC/YsIMwnjIntJyLWoylgU2BzijhFifYh\n7cmoyMApu1E3sNmgTqPCLdt4es3ThPmE8fPtP6OSg6ubki7YswB9QjsEnR7B6IvOYOSu5XexJWcL\nQ+OHMq6tt/YpMTCRUnsp076exvHK46hbQK2IoNGc5eKXW0NUze2RkTzeg5dyRzmbsjehj29bfbtK\nEEgKMdE+3Bet+tIbiqo0Wo6VHcPtcdMtohvpmYUcOpZLr2hv5GNH3o4GRT40QWFnFZsXmh043Jf+\ngVxicdI/tj8yMttzt6PyUWycFRQUmh/p9/fo2kZLp9ZPjUWLFjFq1CjWrl3LP//5T3r37t2c67os\nuCuLuTl1Cv1j+7Ps0DLWZ65ndPJo2vrHX7L4QJax71xF+dfzse1Zg6PKzIF8M8cLqugf2x+Ly8LB\n4oOofOu/SdJqNPx7578B+FOvP1Fsqbkg3uGWMKqNzB01F7PTzKiFo8iWrRhi22GITmZveRp9P+jL\n1tyt3NblNtbeuZYuIZ2xW2211nfUhsMtMSxhGAArjq5A08BoTktGpTOyMWsjAEPaDOFYkeUC9/Bi\nd0sUmJ1Maj+JCkcFG7M2ojLWvtlXB4Swp2APHtlDr6heZF1iusi5eGQot7voF9sPi8vCoeJDDSo6\nF3RG3IKHlze8TJAhiPeveZ8H+zxIjJ83fevxgY+jcbmQL2PRm80l0SG0Ax7Z43W8amDqlcmg49O9\nn2JxWZjVbxY6VQSLd2RhUAcyod0E9hftZ3fxfnzad8HYZRAL9y1k6cGlDG4zmJ9u/4mVt62k+PFi\n9j2wj4+v/RiH6OCtrW+hNl3+jusq9bni4/zIB4BblJjYfiLgTQvVx3vraARBoE2IiTzbVrYXfEfb\ncD/0l+gAJpyzpoycYg6fyCMxMJEgQxA783eiCqh/mpMmOOKsYvOsRkpbLLG6GBA7APi96LyO17GC\ngoJCU+ESPXWOlk6t4mPJkiVMnjwZH58rKKwsibhPHuCjSR8RaAgkQB/AnKvn4C7KarxreCSQT/9h\npOeZq4sYt+Vuq7eLjkGn4UTFcVadWMWQNkNoH9KBMlvt9Rguu4O7O0/jyUFPkl6aTtu32hI1L4rQ\nOaH0/qA32eZsXh7xsrcGRRRwuy7u1NrhlojyjWJYwjDWZ64nozIDg+6PIUBUOgMbszeiV+vpHd2b\n4yX1T+M4WWarPg1fdWIVKkPtjXjUZxbKRje++AAos7roH+P9u9uauxVteP3rPtRBESw9uNTb36TX\nDDRCACpZx9o717Ju+joe7fkgYsnldcazuUQ6hHqLpNNKGlj3IQgYtWre3f4uOrWO+3rdx768SmTg\nRKmV6d2nA7Bw30ICB12NHBnHM2uewUfrw+IbFlNmkTheZOZ4kZl9uRVM6TiFaL9oFu1bhFutalB0\nsylQ1SPyAeAWRUYkjsBH68PytOXoouNRmQIxGPXM2zyX0YtGc9tXt/Hoz38l3N94SdUPKo2Wg8UH\nq9eUkVNMRZWNCrubXtG9OFZ2jHJnJYJOX6/H04REnq73iOpFdiO9hkqsXtEOXrMGlY8iPhQUFJqf\nP6z4uFJxndhHYpXA4YcOc2TmEdpWqhELM5rseicKq+ge2R2AfYX76h3G99Fr+WDnB4A36mF3uets\nBC3LMs4DG3l5yN/594R/0z+2P346P8JMYYxJHsMPt/3A7EGzsdmdSJfolOB2i9WN7F5c9yK+Rl2L\ndPxpCILOgMVtZU/BHvrE9MEtqqvrPepDTqWNIfFDUAtqb4dkvYnaTnFVASFnufQ0ifiwuRjUZhDg\nFUP6uOR63U/Q6lH5hfDm1jdRCSru730/uRV2LHYnCfjQq8RD2bcL6jQmaA5sLqm66PxIyZEGiQ+N\n3sjak2s5UnKEmzrdhJ82mNxKb3TgZJmNsW3HEmIMYfH+xTi0Ap8f+Jzcqlxm9JxBsCG6uh+QLHs/\nIMptEjd3uplKZ6XXBc73MjY9VKmqowzBxmDCTeG1Rj48Hhkdaq5JuYa00jR2Fu7Bd+gUPj/4ObNX\nz8ZP54dJa+KtbW+xPutXTMb6CYOaODfycSKnCICsstPObD8d+wl1vXoHCeii4lmVsQoBgQFxAy65\n2PwUpTYXEaYIEgIT2JKz5fdmqn+cujYFBYXWwR827aopKS0tZejQoRw/fvxyXL5uZJnyH5eR98K/\nSfvbfAqWfkydu/pL5GSRhU5hnRAQ2Fe4D6Ee4kOtEkAlsWDPAkKMIUzuOBlbPSxNPdYKbJuXc3fi\nJDbcsZa0mWkcevAgK6euYGTMEOw2B55G+KN1u0Vu7nQTXSO68sneT/ho94cEmS7vae+lotKb2Jyz\nGY/sYXDc4OpGjvWlxOJCpzLRK7oX2/O2Y5UcaENrqJ0SBNT+IezM24lJa6JdSDsym0B8FFmcdAzt\nSGJgIiuPrsTj749Qw8buXIMmfVInNuVuYVf+Lq7rcB1hPrGU/J7u57FW4ji6B9lZ82a2OTmVdgVw\npLSB4sNg4J3t7wAws89M8s9wkKtyevukPNjnQUpsJbyy8RVe3vAyWpWWvw74K3kV5z9XuZUOJrSb\nAHjTl2pzm2sOdMGhuCQXx8qO0TGsI5V2N9Y66okkx+lIzwvrXmDl0ZVM/2Y6AfoANt+zmV+n/4pa\nUHPP8nuQBCfaizGYEITqaIxJayIuII4TOcUAHC6sYlL7SQB8k/ZNvdKcVP7BmHHxW9Zv9IvtR5Ah\nhJOXaLN7Cskj4xQ9jEwcSam9lE3Zm+opiBQUFBQaDyXy0UDcbjfPPfccBkPL3oyW7dxH0Y69TX6d\n3DIbOpWRtsFt2Vu4F0FnQG2qPSUHwMeg5evDX1NsK2Z69+lo0NZb6cq2KlyZB3BnH8SZk44z9zjO\n0jzc1sbrIyHLMljK+eqmrwg0BDJ71WycHitaTesNtAkGU3Wx+eA2DRcfMpBdYWN4wnBEj8hvWb+h\nP8eqFUATGIpNcnK45DA9onrgEOXzusk3Bm5JRhZFJqdOpspVxfK05WjC46tvV6kEooN86BAZgJ+v\nEY1/CKjU6Nt25c2tbwIwq98sjhRWXcAD7fJgc4kkBCagU+u8kY+gevZX0RvJqcpledpyekX1oldU\nHwrPcZDLKbfx2MDHiPGL4eUNL5Nems5d3e8i0hRTHfU4k3yzncFtBuOv92dF+goEo99FuW81BvrI\nKI6WHUWSJVJDU2uNepxCslsZnTCS4QnD+f7o91yz5BoEQeCbqd8Q7tOW1JDuPDHoCU5WnOSpVU/h\n56NvcPqVPiwESfaQVppGalgqFquT0gpvPVVaYRWdwzrTPqQ93xz5hiJnGWpt3Zbkmoh4vj3yLZIs\ncU3KNVid7ku2njwTq9PNlI5TAFh2cBlqJfVKQUGhmfF46h4tnWb/BHzttdeYOnUq4eHhzX3pFonk\nkckqttAtshsVjgpyzDkYouvOvzfqtMzfOR+AGb1mXDZL07qQKopI9Ink8YGPU+4o57+7/4uP/gIW\nsy0YlcHE6ozVqAU1Q+KHcKIB9R6nyCqzMzxhOABrT65FH3u+5bE2LIq9hXvxyB56Rvak0Fz/1K6G\nIjod3NvTmx73xtY30EQloQmLQ+cXiFqn4j+73ibhjQQG/ncgh+25+E+4j1x3OV8f/prukd0ZGDuY\n9OL6Fd03Nw7Rg0pQ0T6kvTedR6evl6OXxseP+Tvm45E9zOw7kwq7+zxhb3aI+FgsLJm8BACVoOKp\nIU9RZqk51czqknCJAmOSx5BRkcHhkiOojJfHJUkXFk56aToAHUI7UFBZt/iQPRLuI9v56uaveLjf\nw4xOHs3XN39N/5ghbM8qZ3duBc9d9RwdwzryzvZ32Ji1AV+fhqVf+cTFcqL8BC7J5a33yC2uvs3u\n9jq9zeo3C5fkYu5vc9EafWrvmSKo0Ea04ZO9nwBwa5dbG73RpcXpZkTiCMJN4SzctxCnyms9raCg\noNBcOCVPnaOl06zi46uvviI4OJghQ4Y052VbPBkFZrqGdwW8dR+GmNr7Lqg1Go6VH+XXk78yPGE4\nKUFtL92Jq4kQK4uZ0WsGOrWOD3Z9gE6jbpSWXAJg0KjQNFMdiVatwiLa2Za7jd7RvTFqfMmtaHhq\nUVa5jUFtBqFRabziIzr+vE2ULjLWm0sO9Ik5/9S9MZFcDtoFJDKp/SQ2ZW9ixnczOKly8Hn6/2j/\nTnse+dnbsX1LzhYGLxjM2oy1zNs0D0mWmNVvFkUWZ4t+k/N4JLpGdMXmtnGi/ATakLotwgW1BrcK\nPtj1ASHGEG7udHN1Stm5uLIO01+fyKEHD/Hb3b8R5xtb5ya3qMrJdR2uA+DDXR+iCYq6LBtWXWhY\ntfhICU6hoB79Y9w56cjrfuHVzn9m5fVLGZUwmrxyG5LHG5WrcsCCaxegElTcs/we1GoPmgbY7/rE\nRHO4+DAAqaGp1SlXpyi1OJnefToJgQm8ve1tfsvdjCY0lppqptSBYewvS2PtybUMSxhGYkACFkfj\nHs6IkozaWsU9Pe6h3FHOR7s/QtdCergoKChcGSg1Hw3gf//7H5s2bWLatGkcPnyYJ598kuLi4gvf\n8Q9ORmEV3SK9DcsuJD40Wg1L9ntPXO/teS+i+/IW9taF7LQRbAhmQrsJHC45zJHSIxeXE34GPWID\nuaFrDD3aBNA+yp9AXyOqJhYhBp2a9ZnrkWTJm+ttdV1UqlGxxYlWZaRvTF925u3Eggt95NlRLl10\nPOsy1wFwVfxV5FzgZPpScecd451x75AUlMSHuz8k5e0Upn09jXxLPo8OeJSSx0v4bPJnOEQHIz4d\nwVvb3iIpKIlbOt9CzkUIsObEI3noEt4FgP2F+y8oPjRGE8sOLqPEVsI9Pe4BWYvDXYuw90iULl9I\n+M7DdCt147DVHQnLqbAzOXUycf5xvL/jff67fyGagCA09XRvaix0YRHV4qNdSDsKzPUTt87s45St\nWIJ13TJcTheeM+rgCivtdI/oxUN9HuJ4+XEW7FmAn7Hu1KgzMUSEc6L8BABtg9uSXVB29rVFD5qS\nAj6c+CEyMpM+n8SRqiy0MSlnP5CgQhMaxwvrXgDg0QGPIjrtTZIWKBaeZFa/Wfjp/Hj+1+epkmyo\nLrOLmYKCwpWDU/TUOVo6zSo+Fi9ezKJFi1i4cCGpqam89tprhIU1oGvtH5SMwiq6RngjH3sL99Yh\nPgTUGg1fHvoSvVrPxHYTEV0tV3wAiG6R69p7T3yXpy1Hewl9P4a3Dyc53MGoRcPR/UNH8GvBzNsy\nF61eg8bQdCePBq2GNRlrABiROIJS68WnQhVVORmeMBxJltiQuQFj4hmN23x8UQUEsSFzA4mBicT5\nx5HXxOJDLMkh6EQ2hx88zCfXfcKEdhP4S9+/kD4znZeHv4bTZeTG1BtZOmVp9X3eGvsWaknG5mqZ\nEbdTnIp8AOwp2FN3LxNBQGPw4Z3t7yAg8ECfB6iow7r69wtgPbgL14n9F1yL1SWillV8OOlDVIKK\ne7+7l0H/HYRdcONraD4ral1oGEfLjqISVCQGJdYr8nEhZKDc4uTpIU9j1Bh5ecPLCCqp3s0H9eGh\nZFZmApAQmEB+ccV5c5xHdzMspBv/nfRfKhwVjFs8DquvL6qA058fusAwVhz/ka8Of8XAuIGMTxqD\naG+a149UUUyIG54a/BSl9lJeWv8SWv/g2tPBFBQUFBoRl+Spc7R0Wm8F8B+IEwVVxAfE46/390Y+\noqJrLEhV6w2klaZxsPggY9uOxaQ1IXta9gZQEkXGp4xHJai84uMim5H56jVM7hHDPcvvYX3merpF\ndkOj0vDU6qe46uOryLDlYDD5oNOoUTXiBkAtgF6r5ucTP6NX6xkYN7DGouL6UmhxnlX3YUw4LT70\n0fHsL9xPuaOcoQlDqXKIuKWmD5+aN6+i4n//5ZaIIXx73Wf838g5RBgiySq1et2QbE4mJo9l3fR1\nfHfLd4xLGInrAif9LQGPJNE/tj8Cwu81NgnUZm+s0enZnreDbbnbmNh+InH+bRo9Xcdpd3B1zCAO\nPXSIGzveyPa87dz61a2E++vpFRdESljTuiapjQa0AYGkl6aTGJiIWtBS0gC76LqwuURCDGHM7DuT\nHHMOH+76kEBT/aIf+rBQTlacBCA+IJ78kvPFB5Ib66YV3N5pKs8MeYZsczZvbn0TXXxHBFMAuohE\n8l1l3L38bvRqPfOvmY/rxF5kuek+hJ3pO3m4/8MkBCbw5tY3OVx29PxojIKCgkITIHvkOkdL57KJ\nj4ULF5KcXL/eAn90Kq0uzA6RrhFdSStNwyVIGKMiz5un1hn436H/ATCl45QWW+txJh5JIsgQzOA2\ng9mSs4USW/FFpV6N7RTBuqxV/HLiF8Ykj2HXjF2kzUzjls63sCVnC93md+PV315FbxAIDzThZzIg\nNIKjUIivniMlhzlQdIDRyaPRqPRYXRe/KS2qcjIwbiA6tc4rPuKTqoWmPiahOuVqaPzQJnG5qg2p\nsgx3xn5cJ/fjrCxDPOdvy1WUQ1+7gZFSJK6sg01qP91YeCSJALUPvaJ7sSVnCw416CLOf10BaI0+\nvLzhZcBrr2tp5CLlU7iKs4ixuVl8wyLGJI9h5dGV3PHNHXyy7116tpEYktSwTuwNwRQbRaWjkiJr\nESkhKZRanUiN+DzaHC4eH/g4Jq2Jf274J4JKrFf0wxAeRmZlJj5aH0J9Qikorqxxnuyw4SrNY/bg\n2YQYQ3h9y+tUGbToOw/mhd9eocM7HSixlTB31Fw6qMNwHW9at0JPVRlaSyVvjX0L0SPy0MqH0LRJ\nRTijgahRq6ZzlD+BPq3XbENBQaHl4RClOkdLR4l8tBByKux0De+KR/ZwsOggPm3izp6gUqPWG/jy\n8JdoVVpvylVt+egtDKdbZFK7ScjI/O/Q/zA2sOO5Tq3iqrahPLPmGQDmjJpDRqkVi13PousX89VN\nXxFsDObZtc9ifNmI3yt+fLj7A/R+AaC+tJSWcF89Xxz4AoCpnade8qa00uFGrzbQP7Y/u/N3UyZZ\nMMTGI2g0GJNT+eHYD0Dzi48LIntwpe/CfmAzSC3PXa02XAVZXJ14NW6Pmw1ZGzAmtjtvjs5gYPXJ\nNSxPW86QNkMYmTgSaxOJD/A6wVFWwOdTPqddSDuW7F/CIz8/Qpf3u4CqGL22adKwfGOjOVp2FIB2\nwe0a1CSzPrhEiUB9MH/p9xfyLfnM3zEf/ws4X+l8TWhMPpysOEl8QDwu0UNpZe0OarLLgREdjw98\nnApHBa9vfp272qG+CAAAIABJREFUv72bF9e/SIAhgLfHvc1DPWZQtWllswhkd0EGE9qOZ2K7iazL\nXMdnh5Zi6DQAALVOx4iUUCrE7QjqUnwM9a+DUVBQUKgLJfKh0CjklNvOKjr3SWhz1u3q4EiOl59g\nT8EeRiePxlfrh9QazJwBh0vkli63oBbUfLT7Iww6TYNcr6ICDPxy4kd25e9iauepJAd1JK/Sjtnu\npqzKxoS2Ezn00CEe6f8I/WP7IyNz//f38+n+hehCYy86D1sQIMhHy+cHP8eoMTKp/aRGse10ixLj\n245HRmbl0ZWY2nfGt3MvDltO8uOxHxkYN5CEgDZU2lt2PU9rwJV3kpFJIwFvJ/cz09wAVBotouDh\n/hX3oxbUvDn2TUSH/ayC6qbAYynH5NGw7d5tLJ+6nKcHP02ls5KnVj+FsYksqU2xUaedrkJSGl18\nAFgdLh4d8Ch+Oj9e/e1VPDjrdL7yj46g0lFJhaOChMAEiuthYuB22Hio70OEGEN4cf2LfLL3E/rG\n9GX/A/t5IPVW7LtW46mqIXWrKZBERHMJb417C4PGwOzVsxHDY9CExCAYDFy/9FrGLR7HkAVDsIhm\nVAaf5lmXgoLCHxq76KlztHQU8dFCyKmwVxfH7ivch+mcyIcmLO6slCtHC+ztURsuUSLcJ5LxKePZ\nmb+TPQV7GrTBCvfTs3j/YgAe6f8Ihwuqqg81ZVnG6XRhcAvMGfkam+/ZzNZ7txJiDOHe5feyKnsd\nxuAwIgOMdI4OoFOUP1p1/cSISa9le9420kvTmdh+Ij6CrlE6h7pFsbpr89KDS/Hv1Z+AgSOZ89sc\nAGYPmo1kLqUZyj3+8LjyMhkUNwi9Ws/Px3/GmJCMcEaTOq3Jj7mb5nK8/DgP93+YbmGdER2N31G+\nJtzWKvSiikExo3lpxEu0DW7L9+nf40FCUDe+ADHFRXO09PfIR0g7imuxEb4U3KKEny6Qh/s/TJG1\n6PfDhtp/l4CYyGqnq6SgJPLKLvx/7xFFfCSYO2ouakFNYmAiP972I75uGXdOGrK98Rqm1gfJaqaN\nbyyz+s0ix5zDW1vfQtcmlTmb5rDy6EoAss3ZvPbba2j8gpt1bQoKCn9MlMiHQqOQU26nc3hnBAT2\nFu7FJ/4M8aFSowmN5svDX6JRaZjUfhKOS6g7uBzYnO7qhnYf7vqw3g0HBbUGtUpkedpykoOS6RHZ\ni8zy8zcoHrcbh81OcYWFtoHtWX7LcjQqDVOWTuG9HfN5es3j9P2wNz8c/5L2Ef71Cob4GnTV3bxn\n9JyB1EibGpco0T44hf6x/fn+6PccNh9nl/kIS/YvoVNYJ8a3HYtkViyoGwOpshStw8nVSVezv2g/\nRyszMLXvBIA6OIpK0cK8zfMI8wnj+WHP4zaXXeARGxePJFJqcVJuczMmeQxVriq25GxBdUbdQGPh\nFx/L4RJvP432Ie0prKfNbkOx2l3M7DsTnVrHe9vfQ6tRgarmOi//mIhq8ZEclExBDa/tmnCX5nJn\nhxvJ/ms2O2fsxM/tQbKaG+13aCguu43Zg2cTbAzmnxv/yffp3/PS+peI8o2i8LFConyjeH/H+1RK\ndtSBZzs8RgcYGdY2jIEJwUT4Na/1soKCQuvEIXrqHC0dRXy0EPLNDkxaE8nByewr3IcuJASNr3cD\nootN4oQ5ix15OxiROIIAfSDuVvDHdSZWp5txbccR6x/Lp/s+xS5aUNejIFytM7AhcwNWt5Vr219L\nTqX9gjZy5RYHfaP6sWTyEhyig5k/zOSNrW+wu2A3076exp7C7YSY6v6QF7R6LG4zXx3+itTQVIYn\nDGvUzY3HUsHTg58G4OYvb2by0sl4ZA9vj3sbKedYq6qraOnYjh7k5k43A/DFwS/w69IDAH1yN+Zt\nmofZaWb24NkYZQ0ed9N1lK+LUquT0cmjAfjp+E+oDPV3vhKAQUkhTO0dR0xALb0mBAHfNrEcKj6E\nSWsiLiCu3j0+GopLlAg2hHJzp5tJK01jzck1qE0BNc4NiI06K/JRUFZPFzWPhDN9B4EZ6RiPH0Ss\nLGqs5V8UHlHET9Dz6shXMTvNTPhsAk7JyQcTPyDcFM5f+/8Vi8vCu9vfRZvQqfp+Or8A7J5sHvxh\nGl8cfpuEUJEwX0WAKCgo1I1b9NQ5WjqK+GghSB4Z2SPRK6oXpfZSjpYdxT+1AwCGhFQ+O/AZALd2\nvrXVRT3A+/t5JIEHej+AxWVh2aFlaOphu6vWGfjx2I8AjG07lpOl9TsZtdqdXJcyie33bWfuqLn8\nfPvPrJq2ChmZB1c+iL9RU6cTj8Zg4uvDX+OSXNzW5TZkuwUa0dZYqirhmqSxdIvoxqHiQ+SYc3j1\n6lcZEtwNR9r2RruOAtjTD3Bth2vRq/V8cfALfNp1xJDckTKNzJtb3yTSN5L7e9+P23b5Ts5LrS6G\nJwxHo9Lw8/GfvbUBQv3ennvEBhITUsq63A8Z1zGI4BqEtV9EKBi0pJemkxqWikcGcyNbCZ+J1eHi\noT4PATB/x3zUJr8a5/mfk3aVX8/IhxcZT0UxHkv5pS63UXCbS7mn653c3vV2AJ4d8izDEsbw0+EC\n/tT7TwQZgvjXpn9RqdegDotFHRRBvrOU4Z8MZ+nBpTy1+inGLR5HkEnXqHbhCgoKfzxUslznaOko\n4qMFIYkiIxO9xbG/HP+FgG5dUBuNaGMSWbx/MXq1nutTr8fhbH3iA8DuclefQH+b9m29LHcFjZYd\n+TtQCSoGtxlMVj03J7IMDnMFHXURzOp+P70jr2Jk0kju7HYnewr28MGuDwip7YRREFAbfKoF39TO\nU/FYG7mAVRKx7N3CyttW8srIV/jxth95tPsDlP3whRL1aGRcRXn4OCTGp4znUPEhdhfvI2jkdczd\nNBer28rTg59GJ6vxiJfPXazKKaIWjAyMG8iOvB2UOytRB124AatKpSLCH8YuGsuTq55kwEcDsEiF\n6M9xlAtKakNGeQZOyUlqaCoOd9OejNlcbvpE96FDaAe+P/o9No/rLAvaU/jHRHC8/Djwu/ioR81H\nS0WWRFxHtvLxhA859OAhXhj6PFszy8iusINs5NmrnqXSWcnMH2Zi6DQQp18gkz6fRL4ln6cHP82E\ndhPYlb+L1Rmr8DMq1rwKCgq14xI9dY6WjiI+WhCS6ObqpKsB+OXELwR27UxAz57sLT7AkZIjTGw/\nEV+tL+5W0L2yJpxuiaSgJDqFdWLViVXYRTuCrpY0EUBj8kGl1nC4+DCJgYlo1XrKL9R1+hwkayVu\naxUVNhcnSyy8dvVrmLQmXlz/Iiq1G5X6fAHk1y6FEkc5qzNW0zemL4mBSXiaoIjVvHUNqp/X8IDP\nMPoVaSj87H2kitJGv44C2I8eYEavGQD8a/O/yDHn8M62d4j1j+W+Xvfhtl/+TW9WuZ1h8cOQkdmU\nvQl1cNQF76PRalmyfwnZ5mwA9hftZ9rX09DrNAg6Y/W84ARvyhVAx7COOJvYpluWweGWuLHjjThE\nB9+nf4/aP/SsOYJahV9UOCfKTxBhisCkM9W75qOlIpUXYlvzBUlVbpzmSip/t8vOq7Azs89MBsQO\n4PMDn3P9F9czfsl49hTsYUbPGbw04iVeGPYCAK/99hp+ii2vgoJCHajkusfFUFVVxf3338/tt9/O\nzTffzO7duxt30WegiI8WhEcUSQiIJzkombUn16KNDCNy/DUs2b8EgNu63IbobkG9Hy4Ctyhxbftr\ncYgOfjnxC4JPzbng4HXnKbWVUmwrJjUslSKzk0sxcaiwuzFqgpnVbxYFlgLe3fYuWr3xvHmmpAS2\n523HI3sY33Y8drfYND0DZBnL/l0UL19KxYZf8DSTy9KViO3gDkbHj6RbRDc+P/A5vf7TC7to58Vh\nL6KR1cjS5e+Zk1thZ3CbwQBszNqIJqTmhohnotFo+PzA5wBkPpzJdR2uY33mev6z8z/o4jpUzwtK\nbHOW+HA0Q48gm1Pkxo43ArDs0DJU/mc3UDSFhSKrILMyk6SgJFyiB4fr8j8Pl4rstCFVFp3VXd3h\nlhBFma9v/ppOYZ34Nu1b1meuZ3TyaN4a9zabMsroFNaNq5OuZk3GGnYV7ERTh0uYgoLClY3L7alz\nXAwLFiygf//+LFq0iFdeeYUXX3yxkVd9GkV8tDA8lnJGJY3C7DSzOXszQkggnx34jAB9AOPajkNs\nRRa7NeEWJa7tcC3gTb1S1SE+fNvEklaaBkCHkA6NUiCbWWrlsYGPEaAPYO6mubgF6bzoi09cLAeL\nDgLQJaJLqwhhKtSNx27FdmQPTw56EoAiaxFTO0/lzq534HJcuLdEc5Bbaad/bH9UgoqNWRtRh9Qd\n+RAMvuRb8/n15K8MihtEm4A2vDf+PQL0ATyz5hksOg2a8FgAgpPiqp2uOoZ1bJYOuDaXSKewTnQI\n7cDKoyux4zlLgPjFRJJjzkH0iCQFJeFsBV15LwWnSyTYo2H7fdv57pbv2POnPay85XuyypwUVDlI\nL7LwxMAnAJi7aS5anRL9UFBQqBn1BcbFMH36dKZOnQqAJEno9U1nfqGIjxaGVFHEDak3APDEqif4\n16Z/kVuVy/Tu09HIAnIraSxYGy5RpHd0byJ9I/k+/XvQGUBT84esb3wMh4u9G6YOoR3Ir7x08VFh\nd6MRfJnRawbFtmKWHlyKOiDirDnG2BgOFB8AoHN4Z9x/8E3RlULVrt+YkjSBj6/9mP/d9D8WXfsJ\nLosZuYUU5xVbneg1JrpHdmd73nZcagGVX1Ct89WmAJYdXIaMzC2db2FLRimiGMDswbMpd5Tz+pbX\n8ekyAASB4MQ4DhUfQq/WkxiY2CyRD1kGp+jhhg43YBft/HLiF7RRidW3+51RbJ4clNwsa7rcSFXl\nyHvWM0oVS0fZD2d5KaVWbyppWrGF4Qkj6RHZgy8PfUlGRQZqfe1pqQoKClcuTrdU57gQy5YtY8KE\nCWeNkydPYjAYKC4u5vHHH+eRRx5psvUr4qOFIRZlMTxiADd3upktOVt4Zs0zhPmE8fehf7+sbjyN\nhSyDJMlck3INxbZituduR11L4y3fNrEcKTkCnBIfjXNCXWh28GCfB1EJKt7e9jaCXzAqw+kPeZ+4\nGA4UHUCv1pMclNxqa2wUzkaqqqBg4b+ZUBrO1VXB2DevuGzWujUhy1BicTI4bjAuycWOvB1ow6Jr\nniyoUPn489mBz1AJKqZ0nMKu7Ao2nSxjZt+ZhPmE8fqW1zGbDCTefC2iXmBf4T66RHRBhYC7mTpY\n2l1idaTzq8NfoY093WE+uG1CdYQxJSSlVXjTNwYeSwXu7DSvicUZqVlO0UN2hZ0nBj2BR/Ywb/M8\ntMbG7/eioKDQ+pEkT53jQtx4442sWLHirNG1a1fS0tKYPn06f/3rX+nbt2+TrV8RHy0N0UXeF0t4\nd/y7tA9pD8DrY17Hz2LF42o5G6VLwekWmdBuAgDfpX+H2i+kxnm+bWKqU0U6hHagoBEiHwAVNhcx\nfm2Y1H4SO/J2sKdoH74duwFgCPBH7ePDsbJjtA1uC6iQWkG3UIX64SouoGztj1j3bEJ2trwamyKL\nkyHxQwBYfWI12sj4Guep/UPIqMxka+5WRiaOxKQN4ViRhQKzA0HW89TgpzA7zczdNJcOf7qDDVkb\ncHvcjEwcieRumGnDpeBwifSK6kVSUBLLDi2jQiOji/FGP8I6prAtbxsAfaL7YG2lLn6NyYlSK5NT\nJ5MQmMCCPQsod5nrNOVQUFC4MtFcYFwMx44dY9asWcybN4+hQ4c2zkJroVnFh9vt5vHHH+fWW29l\nypQprF69ujkv32qo3L0T56otHLh/P2VPlHFz/DicR3dd7mU1Gk63xNVJV6NT61iRvsKbWnKOr71K\no8YnJpIjJUcI8wkjxCek0ZqiyYDZ7uLObncCsPTgUnw7ecVHQEwEZfYyzE4zycHJ2K+AVBCFlkOe\n2cGopFFoVVqWpy9HF5VQY3dwdVAkXxz4AvBaQR/Mr+SURC6zOLm/9/3E+MXw+pbX2V+4v9o2emTi\nyGaN9nhkGVGUeajPQzhEBx/t/ghTlz4IGg3BKUlsy91GgD6AlJAULM7WbabRGNhcEnYXPNj7QRyi\ng2WHlqH2qblHioKCwpWLwyXVOS6GefPm4XK5ePnll5k2bRoPPPBAI6/6NM0qPpYvX05gYCBLlizh\ngw8+4B//+EdzXr5Vkbnoc3b/6S8UvPo65Ss+QXa2jKLYxkCUPBg1PoxIHMHewr3kVOWhMgWeNSe4\nTTRO2U1GRQYdQjtQYXM1qhCocrgZkzwGX50vXx76EmNiClpf09lNzwKTrog8dIWWQ6nVhZ/Oj2EJ\nw9iVv4sMSw6aiLOjH4JGh8o/hMX7F6NVabkh9QYO5J1OyXSKHlRomT9hPi7JRdf5Xfl076d0jejK\nsDZXITmbN4LqcLm5u8fd+Gh9eG/7e2jbJBM1dgR59gLSS9PpF9sPPJ5mSwVr6VTaXdzS5RYEBBbv\nX4zaWP9u9woKClcGGkGoc1wM77//PmvWrGHhwoUsXLiQ999/v5FXfZpmFR9jx45l1qxZ1d+ra+ix\noHAad6UZR15eo3bWbik4XCITUrypV98f/f68uo/wtokcKj6ER/bQJbwLuY2UcnUKl+hBLeiY0G4C\nx8uPs6/kANFD+hJwTsdlJfKh0Nw43VJ1l+wFuxega9PhrNs1UUl8nfYtB4sPMrnjZLSCr7eR3RnY\nHU7GJ47i3h73Vv/snXHvULlxPXIzv5+Ikgd/lZFpXaeRWZnJimPfk/LgPXxx0Bu5uaHDDUh/kJTS\nxsDiFInyjWZYwjA2Zm0k05zt7XivoKCg8DtNEfloTppVfJhMJnx9fbFYLPzlL3/h4Ycfbs7LK7Qg\nHG6Ra9pdA3jrPlTnio92Cewv2g9A14iu5JY3fuTH4hCZkjoFgGUHlxE7bCABsZFndVxWIh8KzY3T\nJTI5dTJ+Oj8+3vsxhEYj6L2bT0FngKBwnlnzDGpBzQvDXuBI0fkNMGUZXJkHeXfc2zw1+CnmXD2H\n3j4dKfllZTP/Nl4kSwUz+84E4G9r/0a5vZzPDnyGRqVhSscpSC2w/uZyYnOK1QJ0yf4laIxK6pWC\ngsJpmqLmozlp9oLz/Px87rjjDq699lomTpzY3JdXaCE43RLxAfF0Du/M6hOrsSMhGE6nF4SnJLKv\ncB/wu/hoJKerM7E43YxLGYeP1odlh5YR0bsrMT07V183NSwVmyI+FJoZyePBiJpbOt9CjjmHVRmr\n0EYnI+gMaKLa8ubWt0grTePenvfSNqgtGaXWGh/HU1WGff13PBp8C1O1o9jy2At4mjnl6hSSvYpO\nQe14oPcDHCg6QPCcYHbl72J08mh8beBpxiL41oDV6WZy6mT0aj2L9y9G0BvPq4tTUFC4cnG4pTpH\nS6dZxUdJSQl33303jz/+OFOmTGnOSyu0QETJw4SUCTglJ2sy1qAOCK2+LeIM8dE5vHOTRD5cogeD\nSs/4lPEcLTvKwfIjBMZFszN/J0GGIBIDE7E4FAceheZHslZwT897APho90fo23bHkDqA+XsX8OSq\nJwk3hfPSiJdwOZ3UVSkhFuey7ZG/8+1Df8NyMrt5Fl8Tsow7N403Rs3j1ZGvEmz0Rjrv63kfxRu3\nXL51tVBcogc/nR8T20/kUPEhNudsQaP0/FBQUPgdj+ipc7R0mlV8zJ8/H7PZzHvvvce0adOYNm0a\nDkfj5vIrtB5EUTrbctffKz40Jh/8o8LYW7iXpKAkfHW+jeZ0dS6S28Xk1MkAfH34awothRwrO0bv\n6N5IHhm3YrOrcBmQrJX0juhBp7BOfHnoS0YtHMW4xeN4aOVDhPqEsuKWFQTJGqRW1ADTYzPj3Pgd\nD8ffSMGjBRQ/Xsxw335kL/v6ci+tRSK63Py5758BeHnDy2gNRlCCHwoKCoBaqHu0dJo1NezZZ5/l\n2Wefbc5LKrRgRFGif2x/QowhrEhfwdvj3sYQG4/JVkmhtZASWwmD2wzG5pIQm0gESKKba1KuQafW\n8fy651mwZwHgtSR1taKNncIfDNmDmHuMd8a/w13f3sWqE6sASA1N5ftbvycOI2JJLgTX3AekpeKp\nLKH0u0VkbS0gX9KQdyyTrhFKMXVNuF0uBscOYnjCcH449gPfH1vJmIQxuJX6GAWFKx5nKygqrwul\nyaDCZUOWZQS3k1u73Eq+JZ+X1r9E5I3TCOiYcrreI7wrFlfTpT55JAmToOXu7ncDkFmZyexBs3l0\nwKNYHEoeusLlw75/EwOESE785TjWp61k/zWbfffvI9YJrpMHoM6Eq5aNs7iU8uMnkevRifdKRnRY\neXvc22hUGv7yw18QBRGVpjWUkyooKDQlGsFT52jpKOJD4bIilRfw0oiXiA+I558b/8luZwZtZ9xR\nLT66RHRp8s7HUkkWr179Kvf1vI9vbv6G57s9ilhehKsV5E0q/IFxO7Fs/pGqHxYgb19FWFERUtYh\n3PnHL/fKFJoJ0W4jNSiFh/s9TEZFBq9sfAWdSXG+UlC40nE4XXWOlo4iPhQuK7LdjI/VyifXfYIs\ny9zx9R3Y3LaznK4szqYNL3qslTh+WMk/Ex4h6aCOfbOfQxZb/otX4QpBdOOxVuKxVoKo9MO40hAr\nivn7sL8T4xfDa7+9xvHKk6h9/C/3shQUFC4jWqQ6R0tHER8Klx13/nGGRPflkQGPcLTsKE/88gT7\nCvdh1BhJDkrG2oRpV6cw797G2gefYu2r7yFWnd83QUFBQeFy4HHZMYgyr495HZfk4s8//BmNbyCo\nlfQrBYUrFYfTXedo6SjiQ+Hy45Fw56Tzj+H/oGNYR97d/i57C/fSKbwTKsCppD8pKChcwbjNpUxO\nvYFRSaP46fhPfJP+LZqQmMu9LAUFhcuER3TVOVo6ivhQaBF4bGY0ZYUsvH5h9c9u63IbkktJM1FQ\nULjC8UiIdjvvjH8HrUrLwz8+jMNgOKsxq4KCwpWDVpDqHC0dRXwotBjc+cfpJESy6PpF3N/rfh7o\neT9uq/lyL0tBQUHhsiM6HbQNTObxgY+Tbc7mH+v/gSa8dVktKygoNA52p6vO0dJRxIdCy0GWyfn4\nPUZb2vFswsPsfXYustTycxcVFBQUmgOn08kzVz1DfEA88zbPI82ciTY0BpVWh0qlQhAEBKEVdBhT\nUFC4JFp75EOpWFNoUYjmSvY/9xqbSmz0CDQA0y/3khQUFBRaBB7Jg16l5s2xb3LdF9dx73f38s64\nd/DT++EvS/jr/dGr9dUCRJZlZFmu/hoZZGRkGZBlb6cY2fu9zOnbz/2ZgoJCy8LRyvuQKeJDQUFB\nQUGhleCyWZiYcg1TO0/l8wOf0/M/Pc+6XavSesWI3h9/vT9+ulq+PmNOTbf56f3QqrUA9RMw1bfX\nImpkRcUoKDQWWlXrNuJRxIeCgoKCgkJrQZZxV5bw30n/pV9MPzIrMjE7zZhdZqqcVd6vnWaqXFVk\nVWZhdprxyBe3UTFqjPUSMueKmXOFjK/OF5Wg+n355wiYs4RMzVGZU3POEkEKClcwDkfrNuNRxIeC\ngoKCgkIrwuO0o7ab+XPqbaAzgloLas3v6VYCgsBZqVc2t40q1xnC5ByRctbPXeYa5xVYCrC4LBe9\nZj+dX60Cpa6ozLk/99EYa00rO1/MnBY71QLmDCEjVAsgBYXWhUds3fWwivhQUFBQUFBoZch2C6Kt\nEtkYiEfvi2wMqHGetwhdRYAqkECfQPDxihMEAYHf/xVAQKj++lwBc+pfySNhcVnqJWRqFDZOM6W2\nUk5WnMQhOi7q91YL6guLlHqkl/kZ/NCpdd7/y9oETE0RlzNEzak5SlqZQnOjUdKu6o/H4+H5558n\nLS0NnU7HSy+9RHy8YhWooKCgoKDQFJyZ5nSpCIKATtARogklVBsKfmcKmLPFTLWAQYAahIxLclHl\nrKpVyJwnXmqYl2vO5bDzMJJ8ce4+erW+QUKmtnm+Ol/UKjVQh5A5lUp26nlowNPR4GeugUKo3rPP\nm1j/69Q5s14PU/ekWm/9g2pCh73x065sNhuPPvoolZWVGI1G5s6dS3BwcKNfB5pZfKxatQqXy8UX\nX3zBnj17/r+9u41p6uzDAH7VYnGlvIy45UE349SY+BKioiSbDFScL4nLEgSpJW0a9wF1gKIjRRDB\niETCZFEXVDSZituMbigzmqgYoqKyGFBJRWPkA2Q4NSg+0Oqg9NzPB0Yf6QAtwmkr1+9LOT3l3P9e\ntLT/ntNzY8eOHdi7d6+cJRAREdEA9Pi0/y10NydqhRpqXz/8xzekq0FBf3tlejYwrx569Xfn3/02\nKW/SyDyxPkFbR9uA75PfSL/XNjIalQZKhfKfRk3R72VXQv3f5m0uHTl62baHOpv3MGrAjwE5qZSD\n31UdP34c06ZNQ1JSEkpLS1FUVITNmzcP+jiAzM1HdXU1Pv/8cwDAjBkzYDab5RyeiIiI3Mz50CaX\nfvefy+7ZTLrfjPqPCESAOhAKVw4rc2pqJCHB2mEdcCPT2t6K538/R+N/G/Gy8+XbhURuIbK9Y1eJ\nkAZ/Lg+j0Qi7vWu7Dx8+xOjRowd9jG4KIeOBipmZmVi0aBGioqIAAPPmzUN5eTl8fPjVEyIiIiKi\noXbixAkcPny4x3V5eXkIDQ2FwWDA/fv38eOPP2LKlClDMr6s7/o1Gg2sVqtjWZIkNh5ERERERDKJ\ni4tDXFxcr+uOHDmC+vp6JCYmory8fEjGHzEkW+3DrFmzcPnyZQDArVu3MHnyZDmHJyIiIiIiJ/v3\n78epU6cAAGq1GkqlcsjGkvWwq+6zXd2/fx9CCOTl5WHixIlyDU9ERERERE6am5thMpnQ0dEBu92O\njRs3IiwsbEjGkrX5ICIiIiKi4UvWw66IiIiIiGj4YvNBRERERESy8MjmQ5IkbNmyBfHx8dD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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15,3))\n", "plt.imshow([j], cmap='RdBu_r', vmin=-3, vmax=3, alpha=0.8,\n", " aspect='auto', extent=[t.min(), t.max(), v_t.min(), v_t.max()])\n", "plt.colorbar(label=\"Jerk [m/s³]\")\n", "plt.plot(t, v_t, 'white', lw=4)\n", "plt.plot(t, v_t, 'green')\n", "plt.title(\"Velocity (green) and jerk (red-blue)\")\n", "plt.xlabel('Time [s]')\n", "plt.ylabel('Velocity [m/s]')\n", "plt.grid('off')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plot everything!" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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AUc+YMZaxd4iIiIiIqKju3ii27O7G9pZefLS7Gymp7/4+t8OA46ZVYu60SsyY6IBGUJew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kceQ6XXM/ylF5HUKjbdfT+SJDFq7hsYkpNPfJBmlCz5gYNvzsWU3YsRr74c1Gt2/+tzKFu6jKSz\nJzLgofuDdlxBEITurlsEgXv37mXr1q1cccUV5Obmctttt7Fo0SI0mqZnuAjXpupQNqPXrl1D6fv/\n9LeODBhI6s23Uv7px1g3bcTQtx9Zjz4RlC9e2e2m5L13sG5Y32C5NjUV08BBmFeuACD7qWdbPX3F\n8RRFoeyjf2Fe+RPq2Fiyn/pzoNXxeJ7KCnKffBzF7SZ6wkSSZl7Z5NNgT2UFlrVrqF3zK+6iwqMr\nJAlj/wFEnTaWqDFjUdfdfLWmLuvnVNP3yqbXn54+qTL8uQoLOPLsU6AoZM56FNOAgYF1sseNZd06\nHPv34Tx4AJ/t6Pg7dUQkPqsFn8X/tzUNPYWM+x9q9d/OumUzRW+8iiYujt4vvIhKe+JWpPZel+Vf\nfEb19//DNPQUMh98uM37H8tVVETZRx80yDSry8zCZ7HgM9dgHDCQjAf/EJJkNM0pfnsulnVrSLz8\nCuIvmN6hY/ksFgrfeBXnwQP+BWo1muhovNXVqEwmsv74BPqMjAb7uEuKKf/sE2xbtzR5TGP/AST/\n9sZG+4UT2e3m0B/uR3Y4yH76OfRZWU1v5/FQ8OJfcR4+ROToMaTdeXeXJ4opfO0f2LZtbTB2vPid\neVjW/krspPNIvrZ93S0VWSb3T4/hKSsl9bY7iD59HBC870tPZQWHH/8jyDLZz/wlrN8PPZXoQthz\niLrsflrqDtot5gnMyckhOzsbSZLIyckhNjaW8vJy0tJExq/Wij79DLTx8RTNfRPHvr0cfnQW4J9b\nMPV3twbthkKl05F2x++xnbkV54EDqEwmdOkZRAw9BUmtRtJqqVn6AxVfLyDjnrY/lVUUhYrPP8G8\n8ickrZb0u+5pNgAE0CYkknbbHRTPe4van1diWfMLpiFD/eO4JAnF68VdUnz05hNQRURgGjQY06Ah\nRI4a1e7JiOOnXUjtz6tw5R2h4svPSbz8ipMiwx9A+WefgCwTc+6kBgEg+OecjBk/gZjxE5rcV1EU\nnAcOUPTma9h37qBm2Q/ETTm/Veet+v5/AMRNmdaqALAj4s+/APPyZdh37sCxf1+L0yq0xJmbS8HL\nLyLb7aijookedybmX37GXZAPgL5XNun3PhBWASBA1Gljsaxbg2XdGuKmXdju97bPaiX/pRdxF+Sj\njo4mbsr5RE84C3VEJMVvvYl180YKX32JXo8/FegKWb1kEeVffAY+H5JOh75XNu7CAn8GV70e2ePB\nsX8fBbP/RtZjT4Rtgibrxg3IDgf63jnNBoAAKq2W1NvvJO/Zp7Bu3EDt6p8bjA90l5VRs3QJ9r17\n0KenE3/xb9CnBy87saeqyj9Hn1pN7JSpgeXxF07HsvZXzKtWEj+9fXP1WTduwFNWijYxiagxY4NW\n5nrahERizz6Hmh+XUblwAel3Nd3aKgiCcLLpFmMCP/nkE77++mvOOeccSktL+fTTT7nttttQNdM6\nEK79lUPdl1qbkED0uPF4yspwlxSjTUoi/e77MPRqX4tccyRJQpeSimnwEIz9+qNLSQ205OizsqlZ\nvgx3USFRY89o8xiNqm8XUvW/b0GtJuPu+wKTY7dEl5ZO5PCReKsqcZeW4CktwXUk1/8vPw9vdRWS\nVkvU6DEkXjaTlOtvJPr0MzDk5DQ7bqo1dSlpNOgyMrCsW4OzrtVL36t3i0FrT2DbtZOqrxegMhpJ\n//29LU5h0BRJktAmJKBLTcOybi3OgwdaNabTsX8fVd98jcoUQdqttyM101PgeO29LlU6nT/Y2LcX\nZ+5hos8c3+pz1nMeyaXg5dnIdjsRI0aS+YdHiBw5iqjTTkfxeTENGkzK9TeFZXIhTWIiNSuW462o\nIHL4iHYlyKmfFsFdkI82JZVejz9JxKnD/PPDSRIRI0Zi37Mbd1Eh1q1bMOT0oWbJIiq/+RoUxT8W\n+J77iZs8hbgLpjPo5t9iOGcqsedNwZWfh7sgH8fBA8SMnxCWLfFlH8/HW1lBwsUzTphVWR0RgTom\nFtuWTdh3bEcdGYnsdlOx4AvKPvwA5+FD+Cy1uIsKqV21wj/2NUjjr2uW/YBjz24iR40mZvzR4FMT\nHY0z7wjuokLc5WVEjTmtTQ8DfA4HRXNeR3Y4SLx0JsY+fQPrgvl9GfjeKSjAOGAg2sSkoBxXaJ1Q\n3/sIwSPqsvtpaUxgtwgCBw4cyHfffccHH3zA4sWLefLJJ8looUtHuL5Bw+HiUen1RI09nbjzLyBu\nyvlBS+/d6vMbDHgqynHl5UFdQpnWqv5hMRVffAaSRNrtbZuTUBMTQ/QZ44gePwFjv36YBg4iYtgI\nIkeOIubsc0i+9nqizzgTXWpaq26aWluXuuRkdOkZ2LZvw1NSTO2vv2Ds3z+s0uoHk+L1UjTnDXyW\nWhIu+Q0Rp5za7mPpUtNw5h7GXViI11JL1KjRLW5fNv9DPKWlxJ1/QZvO25Hr0tA7B8vGDXiKi3Dm\nHcE0eGggWFV8PlwF+Vg3bqDmx2VYt29F8fnQJiUhqdXY9+2l8NWX/QHgyFGk33l3YF+1yUTksOFE\nDBnapjGRXUlSq/GZzTgPHQQgcvjINu3vs9koeHk2rvw8tCkpZM16tFEgKanVRIwYgW3nDjzFRdSu\nWuE/n1pN6i23kXDRJYG/mSRJgbpUabVEDBuBZd0aPMXFIMuYBjc/rjAUPOXllH/yXySdjtTf3dqq\nlmt9VhayzYrz4EFs27ZSu/pn3AUFoFYTfeYEEmdeiaTV4Mo9jGPvHqybNqLvld2h7J2KLFP6wbvI\ndjtJV12NLjmlwXpjTl9qf/kZd34+ntISf6+PViTzUbxeiufNwZV7GH12b1Kuu77BZ28wvy9VBgPI\nMo69e7Bt30bEsBFoQjCu8mQVDvc+QnCIuux+un0QqFarOf/885k5cyaXX375CbuBhusbNJwuHkmj\nCVnXRE18AuYVP+EuLiJ20nmtumGwrFtL6YfvA5By0y1En3Fmu86tNpnQp2dgyOmDIScHQ3ZvdCmp\nbe462Ja61KenEzvxbLzVVbjyjmDdtJHI08YGtXVHkWU8paW4igrxWSyoI6NC0vJRs3QJljW/oE1K\nIvWW2zucxMSQ0xfziuW48o5gGjyk2YcWjgP7qfjiMySdjrTb72xT62NHrktJo8E0eDDW9etxF+RT\nvWQRtWt+pXb1z5R/9jHmH5dh274NV0G+v+43rMO84icc+/ZStfArFJeLyJGjSb/j921uRQwH2oQE\nfwtLSQmxkya3+jry2W0U/OP/cB3JRZucQuasR9HGNd2SqNLriR433h9U5+eh0hvIuO+BJjNSHluX\nKq0WfXZvan9Z7c9cXF4Gsow6MqrNrdOdwbxiOfbdu4gafRrRZ4xr1T6SJGEaeiq65GRktxuVQU/k\n6DGk334XMeMnoEtOJnLESIwDBuI4cMD/4Gn1KlSmCAw5fdr1me88sJ/qJYvRxMeTfM1vGx1DHeE/\ntmXTBlx5R6hZ8ROy240+M6vZBxhes5niuW9i37EdVWQkmQ881KiHRLC/L439B+A8fAh3QT6WNb+g\nSUxEn5EZtOMLzQunex+hY0Rddj/dPghsq3B9g4qLx08TE4t99y7/XGuxcRhy+rS4vauoiMLXXwGf\nj6Qrrya2nVNZBFNb61Kl1xM5cnSgi5rz8CGix40PSqDmys+j4OXZVH69gNrVP2NeuYLqHxb7k65Y\nraiNRlSRkZ0e9HsqKyiaOwd8XtJuuzMoY5LUEREoXi+OfXtx5eUSc9bZjf5miiz7Wx/NNcRfMJ3I\n4c1nDm5KR69LTVQ0kSNH4y4rw1tVWZfMxeyfuzIpmYjhw4mdeDbGgYPw1tbirSjHU1oKskzspPNI\n+d0tYZHxsz3UUVHY9+zGU1aK2mhs1bhIn9VK4Ssv+ydGT0ryB4AnaKmSNBoihp5C3OSpxE2Zgi61\n6QeBx9elNiERdWwstu3bcOfnYd2wnpplP+CzWtBn9vIH3pIUkgdipfM/wldbS+Kllzf7epoiSRL6\nrF5EjzuT2HMmETlsOGpTwwdK2sQkYs46G8XrwXngAPYd2/HVmv2tdG38zKlZvgzngf1ET5hIZDM9\nN7RJSUSOGIUrPw9PaSmOfXup/fUXTAMHBlp361vGa3/5heJ5c3AXF6GOjCLzgYfRZzYOxoL9fSlJ\nkv86LSnGlZ/nH4tYVYlp8NBu+QCmOxH3Pj2HqMvup9tPEdFW4Zq5SGRVOsqyfh3F8+agS00j+7kX\nmr0Jk51O8p7/M+7iIqJOP4PUW+8Ii+Qq7a1Ln83GkWefxFtVRdyU80m66poOlcOyYT0l772D4naj\nioxEl5qGbLXiLilusJ0mPh5NXHxdq8qZRJ12elBvfGSXi/zZf8OVe9jfMhHE5Auyy0XuU4/jrawk\n6aprGiWJqZ9kWhMXR++//K3NrTzBvC4Vrxd3cTGy04EuLb3RmFdFUXDs34dt21aM/QcQMWx4WLyf\nO8K2ayeFL89G0uno/ezzaJOaH29l37eXkvfewVtR4Z8YfdajQe2S3lxduktKsKxbg2P/Puy7dzVY\np46O9geX0y7sstZzV1EhR556ApXJRJ+XXu3UJEYNMkMPGkz6nXe3aSx27tN/wl1YQOYfHjlhl9r6\n93fFF5/hPHgASacj6aprkW1WqpctxWeuCWxrOuVUUm74XbMPADrr+1JRFMwrllP+8X9QvF60qamk\n3X4Xhl7ZR7fxerFt34qnspKoMae1a7yrcJS49+k5RF12P91+svi2CtenFOIJylG6lBRqV6/CU1GO\nsf8AdEmN55hSFIXS9/+JY+8edOnpZNz7QKPJ2UOlI8lE9Nm9qV3zK84D+5H0eoz9+rerDLYd2yh6\n83Xw+Yg+cwKZf3iE2LPPJXbSZKLPOht9ZiYqvR5frRmf2Yy3ugpPeTnWzZuo/eVn/6ToqWkoLhfu\noiK8tWbU0TFtDkpkj4eiN1/DuX8fmoQEMu59MKjj2CSNBm1SMpZ1a3Hs3eNP7JCQiOL1UrlwAZVf\nfQlAyo03N7iRa61gXpeSSoUmJgZtQkKTfwN/0ptEIoYMRZea2u0DQABdUjLukhJceUdwlxQTdfoZ\njV6XIstUfvUlpf96D9luR987h4z7Hwr6mOTm6lIdGYlp4CCizxxP5MhReM01eMrL/RmCnU7su3eh\n0mrbneG1rWp+XIZj316iTh9H1OgxnXoufWYmpiFDsW3biruwAOuWTUSNGo3KcOJ5FD0V5VQu+AJJ\nbyD52t+esMW6/v0dPe5MvNXVuHIPY9u2BfvuXSguJ5rERCJOGUbipZeTMONS1CZTs8fqrO9LSZIw\n9M4hcsRIHPv24Skupnb1z6j0egx9+uLYv4/CV17CvPxH7Du2U7NiBYbevdF1YB7Ek5249+k5RF12\nP6I7aJgQF89RkkqF7Hbj2LMb2W4n+vQzGm1Ts3QJ1UsWIekNZP1hVlg9je1IXWoTEtEmJWHdtBH7\nrp2oo6JO2CX2eF5LLYUvzUZxu4i/8CKSrrmuQYCsNhox9MomavQY4qZOI2r0GKJPH4exbz885WV4\nysqwbd9G9ff/o3rRd5hX/oR5xU/Yd+3EOGhQq8crKopC6QfvYtu0EXVUFFkPn7hrX3voUtPw1tTg\nPHwIy9o1eKuqKP/0Y2xbNoMkkXz9TcScOb5dxxbXZccZ+/XD/POqwBybx2btlZ1Oit9+i9qVK0Cl\nIn76xaTdfFubMwO3RmvqUhMTQ/TYM0i4eAbxF12CLjUN66YNOPbvI2rMaagj25cwRHa5ULzeE7aw\nK7IcCIYTZ17Z5AOwYNPGxRN12ljsu3fjKSrCum0rUaPHnDDjbu0vq7Hv2E7kyJFNfkY3R1KpiBgx\nEnVEBN7KSnQZGaRcfyPJ1/yWqDGn+RNwneABSGdfl5roGKLHn4XPZsN56CD2nTv8Y3pX/oRss6FN\nSfF/7pSXYVm/Fk18fKOHTD67jZqlP1C1+Hsc+/eh0uvRJvbMpF8dIT5jew5Rl92PCALDhLh4GtKl\nplHz41LcRUUY+w9o0I3MtmMbJe/9E4C0227HNHBQqIrZpI7WpT4zC3VkJLbt27Dt2I5p8NA2tYqU\nf/4Jjn17MQ0e4h9T1kI3NkmS0ET7W6cM2b2JOftc9BmZ/tZBcw2STo8uNRVF9uEpLaV29apWJ02o\nXrWkIxYAACAASURBVLKImsWLkHQ6Mh/+Y5Nje4Il4tRh+CwWnIcO4jqSi2y3+bty3XoH0WNPb/9x\nxXXZYSqDAX2vbCxrf8Wxdw+ahEQMvXrhqayg8B+zcezdi8pkIv2e+4ltYlxnsLS1LiVJQp+Ziaei\nwj9lTEEB0WdOaHMLbfWPSyl86UWqF32HM/cw+vQMNNFNz5nn2LObmmU/oIlPIPnqa7usNVhtNBE1\nZiy2HdvxFBXhOLD/hOOSK774DG9lBfHTL0af2fw8hk2RJAljn77ETjqvLmlNSptea1dcl5JaTeSw\n4eizsrDt3oXicCDpdMRfeBFpt93pH1fpduHcvx/bls04Dh1EExuHz27HvGolxfPewrZtK56SEly5\nh6ld80uTweLJTnzG9hyiLrsfEQSGCXHxNKTS60GScOzZjePAfmLOmoik0fgTwbzyEorHQ/xFlxA3\naXKoi9pIMOrSkNMH2e3GeWA/9t27iB4/oVUTgsseN6Xv/RPF4yH97vsCE2i3liRJ6NMziJlwFvEX\nXUL8hRcRd+55xEw8B095WSBpApKEccDAZm/cPBXlFL3xKigKabffRUQnp+CX6qYU0Wf1Qp+WTuyk\nySRfcx261I5NBC6uy+DQJScj6fXYd+30z2W3ZzcVX32Jt6rKPwXEw49ibGOLd1u1ty6N/QdQ+/Mq\n3MVFgfdXa1k2rKf0/XdBlkGW8ZSUYF61ElQqjP36N7p+Kr76EndhAbGTp3b6NXM8lU5H5KgxWNav\nxV1UhGy3EXHq8Ca39VkslP3n36BWk3LD7zp13GJTuvK61KWlE3P2uZgGDCTxsplEjhiJpFb7P3OG\nnoImNg77nj3+aUp+We3P8LtnN4rHg3HAQBIunoE2Ph7noUPYtmzuUDf/nkh8xvYcoi67HxEEhglx\n8TRm7NMX6+ZNeEqKsW7dgremmrKPPkB2OIgcPYbk664Py3FTwapL04CB/ifzxUV4K6taNT7Iumkj\nljW/oO+VTcIlMzp0fumYzIgqnY7IMaf5Mz7u2O7vqut0Yhp6SpN1UL14kX9c09gzSLj4kg6Voy3l\n1aelYxo4CH16elBalMR1GTzGfv1RGY3Yd+7AW1kJPh+Ro0aTce8DndJN+HgdGasr6XTYt2/DlXeE\n2LPPbdV7y5WfT+Hr/wCfj8QrriL15tuQ3W5chw/hqJvkPmLY8EAXUZ/V6p/qRpZJvfnWRlk9u4JK\nr8fQtz+WX1fjPHgQXUYG+vTG8+5a1q/DtmUTpiFDiZ14dpeXs6uvS5VWiy4lpckusobs3v6/gUqF\nbLejjo7B0KcPKb+9gcTfXIahVzYRpw5HZYrAvmM79l07kT0eTIOHhOX3V1cTn7E9h6jL7kcEgWFC\nXDyNSXVPy+07d+ApLcGxfx+K10vEyFGk3XJ7lz99bq1g1aWkUmEaOAjzzytx5R1Bm5J6wi6VFV98\niqe0lPgLpmPs07fDZWhQHknCmNMHXUYG1s2b/MlrJKlRd9z6pD2yw0HyddejTei+42DEdRlcxr79\nMJ1yKsacviReNpO486Z02YT3HalLQ1YvLOvX4iktRaXTnTBJjM9iIf+lvyNbLESPG0/izCtRG41E\nDhuOIacPtm1bcOXlYdu+DWPffqijoij794e4juRiGnoKcedNaVc5g0EbF+cP1nds92eq7dO3QXf8\n+rG+vloz8RdMx5Ddu8vLGG7XpUqvJ2LIUGLPPY/YcycRffoZjTLh+v+OyVi3bsa5fx+y00nEKaeG\nqMThI9zqUmg/UZfdjwgCw4S4eJqmiYnxz/+m06GOiCBu2gUkXnZF2GQCbUow61IdGYk6Mqoui95O\nos4Yh9rYdNY8b00NZfM/ApWK1Jtv7bRJr/XpGeizemFZvw7Hvr0Y+vRBl5wSWO86coTqxd+jiYsj\nqQvHNXUGcV0GnzYuHkN270YTgHe2jtSlpFKhS0nBsuZX7Pv2YujTt9mMkF6zmaI3X8NdWIC+dw7p\nd9+DSn3080qXkkLEiFHYd+7AXVyEedUKapYswpl7GNRq0u++H01U+xLQBIshpw8+cw3OQ4ewbFzf\nIBA0r1hO7c8rUcfEkvK7m0Myj2V3vS71WVnos7OxbFiP88B+1DExGHrnhLpYIdVd61JoTNRl9yOC\nwDAhLp7mSRoNpgEDiTptLIZe2WEfVAS7LvXZ2biO5OIuLMCVn0/0GWc23QVzySIce3YTOXIUMRMm\nBu38TdGlpoFKhWPPbmzbtxF12thA97XqZT/gPLCfqHHjiRzW9Jii7kJclz1HR+tSl5ziH6e7fx/W\nzZvqxoMdHXOrKAq2bVspfPVlPCXFaOLiyPzDI2giGmc61URFET1uPIrLifPwYRSvF3V0NOl33YOx\nb3Bb8NvDP8Z2ON6aalyHD1G7bg2ugnzsu3dR9e1CAFJuuBFDr94hKV93vi51Kalo4uOxbdmMbcd2\njP36tzh/Zk/XnetSaEjUZfcjgsAwIS6eniPYdSlJEqZBQ6j9dTXuokLURiPGvv0abKN4vRT/cx6K\ny0XydTegTez8mwpjv/7+4LQgH8eBA0SPG4/XbKb0w/dRPB6Sr7om6HO9dTVxXfYcwahL06DBeEpL\nceXlYtmwDtnlwnkkF9uO7ZT9+1+Yf1yG4nJhHDCQzAcfRhvX/NQ1Kq2WiFOHEzX2DHQZGSRf+1sM\nbcyy2ZkkSSJi2HBkpxPnwQO4i4pwHckFIG7qNOLPvyBkZevu16WhV3bggYJl00YM2b0a9KY4mXT3\nuhSOEnXZ/bQUBIZvfztBOMloYmJIufFmit54lYovPwdJInbS5EBXLOumjfjMZnTp6Ri7aMoMSaUi\n9ZbbOfLc07hyD3Pgnjv9WRAVBUPffhhEBjyhh5Hqulr7rBbsu3YGWsXqqWNiiJs6jbgp57c6MZEu\nNbXDWWw7i6RSkXzVNcSeex72PbtwFxSgTU4mNgyzMnc3iZfNxFtdjWXtrxS+8jKxk6eSePnMVmWB\nFgRB6GwiCBSEMBI5YiRxU86n+ofFlH/yX2p//YXk396IsU8fapYvAyD23Mld2l1WHRFB+l33UPjK\nS/gsFn/X3VOHkXTl1WHfbVcQ2kPSaEi/9wGsG9bhLilB8XhQFIWIIUMxDRkakjFynU2XnNzsGEih\nffwP0W5Dl5ZG5TdfU7N0Cfbdu0i79Q70WeHTIiwIwslJUhRFCXUhgq283BLqIjQpKSkqbMsmtE1n\n16V1y2bK/vNvvFWVIEnoUlJxlxSjMhrpM/sfTaYx72w+qxVXQT6G3r1RGYxdfv7OIq7LnkPUZc/R\n0+rSefgQxf98G09pCZJGQ+JlM4mdPDUo09yEu55WlyczUZfdT1JS80nIev6njyB0Q5EjRtL7uReI\nm3YhqFS4S4oBiJl4dkgCQPBnMTUNGtyjAkBBEISuYMjpQ/ZTzxJz9jkoXi/ln35Mwcuz8VRVhbpo\ngiCcpER3UEEIUyq9nqSZVxI97kwqv16ALj2dhIs6Njm8IAiCEBoqvZ6U628i4tThlP7rPRx7dnPk\nmT8RN3Uamtg4JI0aSa1B0qhBrUFSq5E0Gv8/9XHrAtse3Q61WnTRFwSh1UQQKAhhTp+RSfrv7w11\nMQRBEIQgiBwxEkPOXyj913vYtm2l8qsvg3dwtfpo8Bj4WRcgNlhWHzjWB5RNLA8EoXUBZ/2644LS\nEwWudlc07lrXMfuIwFUQwkG3CAJlWeaZZ55h79696HQ6/vKXv5CdnR3qYgmCIAiCILSZJiaG9Hsf\nqJtLcBuKx4vi86J4vSg+H4rXBw1+r/vp84LXV7etr8E+1P1TfD4Ud/ik8T9yog3CMHCVNOrj9hGB\nq9DzdIsgcOnSpbjdbj755BO2bNnC3/72N956661QF0sQBEEQBKFdJEkicuQoIkeOCsrxFEXxB4EN\nAse6ANFbHzT6jgs2vf5gs377+sAysI/3mH18DffxHn+spgNXNTJel6dbBa4n1Fzgelzw2VLgikoF\n1AWT9T8aBJcN1x23YbPrpDZuf+wOgf8de5CjC7GZdNgdnsZ/j2OPcXyA3Myxmlx//P5NBdstLGsy\nOA8sa6IcTWwvtWr7husklYqIYSO63bzJ3SII3LhxI2eddRYAI0aMYMeOHSEukSAIgiAIQviQJMnf\neqUJr1u7ljJKhmvg2h1bXLtCdagLEMYid+/qdkN3wuuTohlWq5XIyMjA72q1Gq/Xi6aZD7q4OBMa\nTXjO49RSqlahexF12XOIuuw5RF32HKIue46eVJeKotQFn/6gUPZ6A9155frlXt8x/z9muc+H7PGi\neD0ocv0MbUr9gY85ydFzNV5I4+3rFjZcdPzxG76Gxgsb7tfkDHINyth4fWCfFvZt8bjHrGvtdm05\nd5PHbeI1NdzkuOM2tU6SSDrnbKK62fu8WwSBkZGR2Gy2wO+yLDcbAAJUV9u7olhtJuZX6TlEXfYc\noi57DlGXPYeoy56j59el2v9Prff/V9/y1hLH9crsRnp+XbafE3CG4d+m288TOGrUKFauXAnAli1b\nGDBgQIhLJAiCIAiCIAiC0D11i5bAKVOmsHr1aq6++moUReGFF14IdZEEQRAEQRAEQRC6JUlpstOt\nIAiCIAiCIAiC0BN1i+6ggiAIgiAIgiAIQnCIIFAQBEEQBEEQBOEkIoJAQRAEQRAEQRCEk4gIAgVB\nEARBEARBEE4iIggUBEEQBEEQBEE4iYggUBAEQRAEQRAE4SQigkBBEARBEARBEISTiAgCBUEQBEEQ\nBEEQTiIiCBQEQRAEQRAEQTiJiCBQEARBEARBEAThJCKCQEEQBEEQBEEQhJOICAIFQRAEQRAEQRBO\nIiIIFARBEARBEARBOImIIFAQBEEQBEEQBOEkIoJAQRAEQRAEQRCEk4gIAgVBEARBEARBEE4imlAX\noDOUl1tCXYQmxcWZqK62h7oYQhCIuuw5RF32HKIuew5Rlz2HqMueQ9Rl95OUFNXsOtES2IU0GnWo\niyAEiajLnkPUZc8h6rLnEHXZc4i67DlEXfYsIggUBEEQBKFJPrsd2ekIdTEEQRCEIOuR3UEFQRAE\nQegY2e0m96nHUbxeMu57CGOfPqEukiAIghAkoiVQEARBELqYdfMmKr78HFdhQaiL0izbtq34amqQ\nrVbKP/53qIsjCIIgBJEIAgVBEAShC3nNZornzaHqu28pfP0VFFkOdZGaZFm/NvB/5+HD+CzhmXRN\nEARBaLuwDwI9Hg+zZs3i2muvZebMmSxbtizURRIEQRCEdqv56UcUrxcAb0UFzoMHQlyipjkPHQJA\nE58AioJt144Ql0gQBEEIlrAPAhcuXEhsbCz/+c9/eOedd3juuedCXSRBEARBaDf7rp0A6DIyAbBs\nWB/K4jTJZ7fhra5C0mqJmXg2AM7Dh0JcKkEQBCFYwj4InDZtGvfff3/gd7VapKc9XllZKd66p8qC\nIAhC+FJkGVdBPgAJ0y8GwHn4YCiL1CR3YREAurR0dOkZAHhKS0NZJEEQBCGIwj47aEREBABWq5X7\n7ruPBx544IT7xMWZ2jSXyaxZs/j+++9ZtmwZKSkp7S5rS9auXctFF93H2rVrT7xxG1RUVHDddTNZ\nvXo1ERERPPXUU8TFxfHggw8G9TxCYy1NwCl0L6Iue45wr0tHYRGKy4UuIYGsiadT/PZbuAsKSIw3\nIYXRQ86SjRUARPfNIXVwX4oBX3lZl/59w70uhdYTddlziLrsOcI+CAQoLi7m7rvv5tprr+Xiiy8+\n4fbV1fZWH7u2tpbly3/inHPO4733PuTWW+/sSFGbVVPjL1N5eXAH1hcXV+JwOKiosGK3y9x776xO\nOY/QUFJSlPgb9xCiLnuO7lCXlq27AdBmZFLjBG1iEp6Kcgq37UWfmRXi0h1Vuf8wAEp8EhZNBEgS\nztJSyoqrkTSdf+vQHepSaB1Rlz2HqMvup6WgPey7g1ZUVHDzzTcza9YsZs6cGfTjL1r0P0aMGMll\nl13BwoUL8Hg8AMiyzPvvv8NvfnMB06adw2OP/QGzuQaAQ4cOcM89tzNlykSuuGIGS5Z8HzjeggWf\nc/XVl3Lhhefx2GMPU1lZ0eR5t2zZxK233sC0aedw2203suuYAfcTJozhpZf+zrRp5/LRR+9jNtfw\n7LN/YubMiznvvPHceOPVbNu2BYBbbrkegBkzzmffvj08//wzvPHGKwBUVVXyzDNPMH36eVx22XTm\nzHkVt9sNwPPPP8Mrr8zm97+/lSlTzuKWW65n7949Qf7rCp1B9niw796F7HKFuiiCILSRu7ium2Xd\neEB9djYArry8kJWpKd7qKgA0CQmotFq0iYmgKHjKy0JcMkEQBCEYwj4InDt3LrW1tcyZM4frr7+e\n66+/HqfTGbTjf/PNAqZPv4RTTx1OXFwcy5cvBWDhwi/5/vtvee21t1i4cAkGg5F//GN2XbbSBxg9\n+jS++24Zf/7zC8ye/QJHjuTy449L+eij93nhhf9jwYLvSE/P4OmnH290zpKSEh555EFuuOFmvv12\nKddccz2zZt1Pba05sI3b7eKbb5Zw+eVXMmfOawDMn/8Zixb9xKmnjmDu3DcAePfdjwD4+uvFDBgw\nqMF5Hn98FpIk8dlnC5k37302b97Iu+/OC6xftOg7HnzwEb799gcyMzOZN++NoP1dhc4hu93kPf9n\nCl56kbL/iHm7BKG7cdcFUbrkZP/PtHT/8pLikJWpKd4qfxCojUvw/0zyl9ctgkBBEIQeIeyDwD/9\n6U+sXr2ajz76KPDPYDAE5djbt2/FarUybtwEAGbMuJwvvvgUgKVLlzBz5tX06tUbnU7H/fc/zA03\n3Mz27VtxOh3ceOMtaLVaBg8eypw5/yQxMZFvv/2aq666lj59+qLX67nzznvYtWsHeXlHGpz3hx8W\nMWrUaCZOPAeNRsOkSZPp06cfy5cfnf5i8uSpaLVaTKYIbr/99zz88KOo1RpKSoqJioqivLy8xddW\nWFjAjh3buP/+hzGZIkhKSubWW+/i+++/DWwzYcJE+vcfgF5vYNKkqeTn5wfl7yp0HvuunbjrkkpY\n1q1BdjpCXCJBENrCU/fZXR9U6VJTgfALAj31LYHxcf6fsf6fvhpzs/sIgiAI3Ue3GBPYWRYuXIDZ\nXMOll14IgM/nxWw2s2fPbqqqKkmue1ILEBsbS2xsLEuXLiYhIRGV6mj83L//QADKykp45523eP/9\nd445i0RpaTFq9dE/dWlpCWvX/sq0aecElnm9XoYNGxH4PT4+MfD/iooKXn31/8jNPUx2djZRUTEo\nSsuTC1dXV2E0GomNjQ0sS01No6qqMpBJNLbuSx1Ao9Gc8JhC6Nm2bw38X/F4sG7bSvTYM0JYIkEQ\n2uJoEJgEgC41DQB3GGXeVLxefGYzSBKaGP93iKbuu8RbNyxCEARB6N5O2iDQarWyfPlSXnllDhl1\nYzMAXn31Jb744hOSkpIbtLYVFRWyaNH/GD36NCorK5BlORAIfvnlZwwcOJiEhESuvvq3XHTRjMB+\nubmHycjIZPsxN++JiYlMmjSFJ5/8c4Pjx8TEBH6XpKNlffrpx5kx4zLefPMdJEni+++/5dChlicX\nTklJxeFwUFNTEwgEi4oKiY6OQdMFg/qFzmHf6Z9fLGLESGxbNuM6kgsiCBSEbkF2ufCZa0CtRhMX\nD4A2xd8S6CktQZFlJFXoO+h4a82gKKhjYgJJYNT1QWCNCAIFQRB6gtB/24TI4sX/IyMji2HDRpCQ\nkBj4d9FFM1i2bAljx57BF198QmFhAS6Xi3ffnUtBQT5DhpxCVFQ08+f/C6/Xy65dO3j77TlEREQw\nbdp0Pv54PgUF+ciyzOeff8wdd9yEw9Gwy955501l9epVbNiwDkVR2LZtCzfeeA27d+9qsqx2uw2j\n0YAkSeTmHmb+/A8DrXlarS6wzbGSkpIZPXosr776f9jtdsrLy3j33XlMnTqt0fEVRcFTN/5DCF+y\n04GnohxJoyF63JkAuAoKQlwqQRBay1PhTxSmTUgMBHtqoxF1TCyK14u3sjKUxQuoHw9YH6gCaOoe\nUoqWQEEQhJ7hpG0SWrjwKyZPPr/R8jFjxhITE4ssy0yffgn3338XNpuNsWNP5+GHH0er1fL3v/+D\nl1/+O/Pn/4vY2Hgee+xJevfOITu7NxZLLQ8/fB9VVVVkZ2fz4ouvEh0d3eAcWVm9eO65v/LWW6+T\nn59HbGws9977IGPGjG2yrI888jivvfYyc+a8TlJSEtOnX8Lbb8/BbK4hISGBcePGc/XVl/Lii680\n2O/pp5/j1Vf/jyuvvASAqVMv4I477ml0/Mqvv6Ts4/l4zTXITieqII25FILLVeTPKqhNTcPQq7d/\nWUHoxnEqXi/ln36MbdcOIoeNIPGymV2SOr7JsigK5Z9+jGXdGmLPPY+Eiy4JSTkEoSXeKn+Qp01I\nbLBcl5qKw1yDu7Q40E00lLzV1QBojw0C64YPdEZLoKIooChh0QoqCIJwspAURVFCXYhgC9c5TMJx\nfhVPVRW5jz+CUteymHzdDcSeOynEpQp/oahL888rKf3gPaLGnkHqrbdz8L7fIzud9Hn5NTTHPWjo\nCmX/nU/Nsh8CvyfMuJSEi2e0sEfnsW7ZTNEbr/p/kSSyHn0CY99+rdo3HK9LoX3CvS5rVvxE2Ucf\nEH3mBFJvvjWwvPSjDzCv+Imkq68lbvLUEJbQr3rJIso//ZjYSZNJvva3AHgqyjn86Cw0cfH0mf1y\n0M4lOx0UvvYKnooK0n9/L4bevYHwr0uh9URd9hyiLrufbj1PoNC5bNu3BgJAAPPqVSEsjdASd2Eh\nALr0dCSVKjDPmLuw67uEyk4H5hXLAYitu2mtXvw9tWt+Ie/5P3PkL88GEmB0heofFh/9RVEwr/ip\ny84tCK3lrfa3BGri4xss16XUJYcpKenyMjXFU9cSeGw51fXdQWvNKHLwkoiVf/oJjn178VZVUjz3\nzaAeWxAEQWieCAJPco79+wBInHklkk6HK/ewGPMRptxl/uyBujT/DaM+MwsAVwim9rBt24bi9WLo\n24/kq68lYvgIZKeTkn++jfPwIVy5hyl849UuuaHzORz+97FKRdZjfwLAum0Lis/X6ecWhLbwVjUO\nrgC0YTZNRH231WPHBKq0OlQmE/h8yHZ7UM7js9upXfNL4HdPRTnOgy0nPRMEQRCCQwSBJznnAf8X\nrmnIUIx9+wPg2L8/lEUSmnF0PJF/zFAgCAzBuEDbjm0ARI4aDUDKDTf5bxhVKqLHjUcdFYW7sAD7\nzh2dXhbH3j0gyxhy+mDo0xdtSgqy1Yoz93Cnn1sQ2sJbXT8B+3EtgXXTRHhKw6MlsH5MoCYursFy\ndZS/27m3tjYo57Fu3ojidmMcNJi4af6pmmrXrQ3KsQVBEISWiSDwJOazWPzZJvV69JlZGAcMAI62\nDgrhxVOXOVCT4L+BDGUQ6MzLA8DYz//gQBMTS+8X/k6/N+aSesttxE3xJ10yr1rR6WWx790DgGnw\nECRJwtjP/z52Hsnt9HMLQlvUZ2Fu1BKYkABqNd7qamS3OxRFayCQGOa4ctaPPfZZghMEOvb4r93I\nkaOIHO6fJ9exb29Qji0IgiC0TASBJzFXsT/bpC7NP8bM2L8uCAyj7ji2nTsoee8dyj/7GE9VeKRP\nDwWfw4FstyNptagj/YN8dRkZALiLi7p0HI3i9eIuLgJJQn/MHJsqrRaVzj9lSdQZ4wCw79rZYMxp\nZ3DVtfgZ+/kTweh79fIvzzvSqecVhLZQFCXQEqg5riVQUqvRxicA/i6RoaT4fIEhAfUZQeupo/yf\nPUELAuseOBr7D0DfOwdJo8FdWIDPZjvBnoIgCEJHnbRTRAjgLvaPP9Gnpft/9sr2Ly/IR/F6Q5bu\nv55l3VqK334r8Hv10h+IHjceQ3Y26qhoTENPQW00hrCEXScwb1d8ApIkAaA2mVDHxuKrqcFTWYEu\nKblLyuIuLgKfD21KSrPTiWjjE9ClpuEuKcZ5+DDG/v07pSyKLOOsC/b02b0BMNS9j111rZWCEA5k\nmw3F7UZlMKA2mRqt1yYn4ykvw1NWhj49IwQl9POazSDLqKOjG30H1HcH9QWhO6inqgpPRTkqoxF9\nZhaSSoUhpw+O/ftwHNgPvVM7fA5BEASheaIl8CTmDrQE+sejqE0mtCkpKF4vrqLCUBYN2eOh/PNP\nAYg+ayKRY8aCLFP780rK5n9E8dw3OfzHh7GsXxfScnaVo+MBExosrw/g6+uyK9R3P63vjtoc05Ah\nANj37Oq0srhLilFcLjTxCWjqblD1WVkgSbgKCzq9FVIQWqu5VsB62rqHOJ7ysi4rU1NaKqe6rjuo\n19LxFPH1rYCGvv0D8wMa+vQFwHn4UIePLwiCILRMtASexI4PAgEM2b3xlJbiOpIbaFEJBfvOHXir\nKtGlpZNy/U1IKhWuokIs69fhM5txFeTjPHSQ4nlzkLRaIkeMDFlZu4KnsgLwtwQeS5eWhn33Ln+r\n7rARXVIWd5n/JrU+mUVzDH37wY/LAi11ncGV72/t02cffa+qDEZ/q0ppKa6iwpC+j4PFVVhA2X/n\no09PJ+HSmSdNC3hP4qluejxgvfpJ4kMfBDadwRRAU98dNAgtgfVBoKluLDr4v39AdOUWBEHoCqIl\n8CTmqZtyQJty9Ga+vkud80hov4Rt27YCEDX29MBTYn16BokzLiXlhpvIeuxPxNdNTF76wXvITkfI\nytoV6ruDHt8SqAtBS2D9TWr9TWtz9Jn+sXnuTpzCwl3kf936jIbd5/RZPadLqCLLlP7rPRx7dlPz\n4zKK573V7edSU7xeqr77loJ//B+V3y5E9nhCXaR2URSl1dsGunQ30xKoS04BwF0W2jGBRzOYxjVa\npw5iYpj6BDDG/gMDy45+/+R2+PiCIAhCy0QQeJJSZDmQqU6bmBhYHhhPFcIvYUVRsG33B4ERw5tu\n3ZIkiYSLZ2Do2w+f1UL1sqVdWcQuF8gMevwk04EgsOvmF6ufBF6b2HIQqEtNRdJo8FSU43N08usA\n3AAAIABJREFUTpDuPia50bEM9clh8rt/EOjYvw/nIX/3OEmjwb5jGzVLfwhxqdrPVVRI3gvPUfHl\n59h37qDyqy8pnjenWwW2iqJQ8sF77L/jllbPh3k0CGwcXIF/TCCAp7w0eAVth5aC1cCYwA52B/VZ\nrbiLCpE0GvS9eweWa5OSUBmN+Mxm3HVzKgqCIAidQwSBJylvdTX4fKhjYgIZHeFotzpXfl7IxlN5\nKsrxVlejjoxCn9Wr2e0klYqES34DQO2qlW16Kt/dBMYENtEdFOoyhHbR66/PXqg9QSIaSa1GV5fg\nwt1J01jUB7/HB4H6QHKY7t+trH6uxbgp55N2590AVHz5Ga7CglAWq80URaF66RLy/vw0rrwjaBIT\nSZx5JSqjEduWzZhX/hTqIraaZc2v1P68EmQZ25bN1Py47IT7NDftQr36hyqeioqQBsSeFrqD1mcH\n7eg8gY4D/rloDX36otJqA8sllSpw7VoPHuzQOQRBEISWiSDwJBW4kT+uNUdtikCblFw3DUDXtS4d\ny1l/g9CvXyATZnNMg4egjo3FU1Heo5MJHJ0jMLHBcnV0DCqTCdlux1dr7vRyyC4XPrMZSaNptkXj\nWPVBfGe0yCleL+6yUpAkdCkNMwnqs47OoRjODwdkp4Pyzz6hdP6H+KzWJrex1QWBpqFDiRwxkpiJ\nZ6N4vZT8c1636UYpOx0Uz3mD8o//g+L1Ej1hItlPP0f8tAtJueF3AFR+vaDbdOuuXvI9AKahpwBg\nXrn8hPt4TpAYRqXXo46JBZ8v8NAnFFpKDKOJCk530KNdQQc0Wlc/LtB6sOd+nguCIIQDEQSepI4G\ngYmN1tW3BoZqXIbjgH+eQmPffifcVlKpiBozFgDrpo2dWq56nvJy8v77CTUrf0Lx+Tr9fIrPh7em\n7un8cYGXJEld2iX0aDCaEBir2ZJjg7Ggl6W8DHw+NAkJqPT6BuvU0TGoo6KQHY5A97ZwVLHgS6oX\nf495+Y9ULfqu0Xqf1Yor7wiSRhMYO5V05TVok5Jw5edTufCrri5ymymyTNHct7Bu3ojKaCTtrntI\nvenmQHKbyDGnYejTF5/FgnnlyhCX9sRchQW48vNRmUyk33UPqogI3EVFJ2yZ9VY2neH3WLpAl9DQ\njQsMJIZp4iGPKiICJAnZbu9QTxHbrp0AGAcMbLSu/vvHJoJAQRCETiWCwJOUp8KfbbKpcV2GEA/O\nr+/CZ8jp06rtI04dBvgnJu9sth3byX36CfI//pSyDz+gYsEXnX5Or7nGP29XTEyDrlP1Al1Cu2Ba\njxOluT9e/TQSrk5IDuOq7wqamt5onSRJR8/dSV1RO8pTVUnN8qPdCGtX/9zoxtq+dw8oCoa+/QKB\nrspgIPWW20GSqF70XSDLYriybtqAfcc2VJGR9Hri/9k7z8BG6muLn5lRL+5912tvr2zfpbNLX1qA\nZHmUhISQhBQSAnmPUENvCQ9YIJSQEFJIAgQevYZeFraxFbZ53btsy1bXSDPzPoxmJNuqtizJ9v19\n2bU0mrnWyKM5/3vvuTfDumLloOcZhkHR6WcCAOzvvZPzvYGOLz4HAFhXrgZrMMCybDkAwL1rV8zX\nSKIY/tspii0CFbMlxYE300iiGF5wKhguAhmWDQ+Md42sLzDQ2wu+tQWMXh9VBFImkCAIIjOQCJyk\nBBURWBwtE1gLIDv9VJIkhc0+piQ3MNk4ew4YjQb+luZRGxbEI2Czof2xRyDxPEw1cpmj/T9vqzdN\nY0WwN2TgE+PmURE7vgyYoMTLEkRDLQdta037zb0ievWV0UdV6HJcBDo3fQGIIiwrVkJXUQnB6Rgm\n6JQZi6Z58wc9bpw1WxZOkoT2xx+Bvy27cz3jYQ+Z2JScfS50FdEHgJsXL4GmqAjB3t6cLuuWRBHO\nTSEReMSRAMLnxntwf8zXCU4HpGAQrMUyLGsdSbZnBQqO0KB4a17UBScgbA4z0r5A51Z5tqt5waKo\nx9CWlYPRG8D39o6695AgCIKIDYnASUrY3CNKJnBahDlMBsodIwn290P0+cBaLGr/SSJYnQ6GWbMB\nSVINB9KNJIro/PMfIfl9sCxfgaUP3i87lwoCXNu3j8kxFQJ94RLMaKgmKBkY6xG2j08uE8iZzdAU\nFUPieQS6OtMaSyxTGAX9lKnydjkqAh2bvgAA5B15NMxLlgAI9/8pePfuBSD3vg6l+KyzYZw3H8LA\nAFruvRt858jKgSVBgHPzJnT94+9of+z36HjyCfR/8L46m3I0BHp74Ks7CEZvQN6RR8fcjmFZWFes\nAgA4t2xOuF/R54V7z24E+/tHHWMqeA8eQLCvD5qiYhhnzQYQLmn0HjwQc6EjkGAhRyHsEJodERjo\nS7zIo8kbuUOo6PfD/rbcT5l39DFRt2FYNuzu29yY8jEIgiCI5CAROElRykE1UXoCOYsFmpISSDw/\n4hvLkaJkAfUxbuxjYZwxEwDgrR8bR7m+N1+H9+ABcHl58vB6hoFl2QoAgGvn2IrAYOhmPGYmMJRt\n49vbxtzRNVwqVpD0a/TquIb0irFY4yHU46qZwNxz0Qz0KSVxBpgXHQbTAtlgxBMhAoP9dvCdHWD0\nBhhqpw/bB6PRYMoVV8G0aDFElwtdT/8tZRMcweVCy733oOOJxzDwwXtwbdsK5+cb0f2Pv6Hh2qvR\n++rLo/o9XTt3AADMixaBNRjibmsOlVV6vt4TdztJktD+6O/RtuE+NFz/64yWrTu+2AgAyDviSLUn\nVltUDE1JCUSvF3yMjKxi9BJrULyCmgnMUjloMMFAeyBiTMQIsnT9H7wHweGAvnZ6zPE/QMS8wMbG\nlI9BEARBJAeJwEmIGAjIN/MMEzOjo/RlZCK7FEn4xj56iV8sDCEROBalZJ4D+9H70v8BACq+/0O1\nJ0bJ3nj37R1T8aXMc4zVS8QZjdCWl0MKBsdc8ITLQZPLBAJjU64qiaK6QBHrs6KrqgIYBnxnB8QA\nP+x557at6PjDo+h8J/Mz99y7dwMATAsWyKYvc+aA0engb2lGcEB2efUoWcA5crlzNFidDpU/vAys\n2Qzvvr2qs24ySKKIjj89AV/dQWgKC1HyrfNQedlPUfad78KyYiUgSeh9+UW4du0c+e8Z6pOzLFmW\ncFvjjJlgdDrw7e1yH2wMXF9uVft/JZ5H55NPZKSPUAzwcG3dAiBcCqqg9lHHKKGPNeJlKLqIctBs\nuNom0/PL5YV6AlN0CJWCQdjfkrOAJeecG9f5WXk/vfv3pXQMgiAIInlIBE5Cgn29gCRBU1QU8+Yy\nW+YwfByzj3goJjK+hoYR3xD629ow8MlH6P/wfQx8+jEcn2+E/f130f7IQ4AkofC0M1QTGkC2S9eW\nV4TE19iVHKo3kMWxb8yMM+XSNM/+vWMWBzBCETgGYyKC9j5IPA8uLw+cxRJ1G1ank0dHSBL4tvZB\nzzm3bkHHY7+Hc8tmHHrkcbi2Z8ZZVsGzRxaB5kXy54nV6tSyQkXgOL/cCgAwLVgYd1+cxYL8Y9cA\nAAY2fpp0DH1vvi4btpjNqL72RhSddgasqw9HwdoTUPXTn6Pkm+sBAL2vvDQiQSKJInyHZFFqjFLO\nOhTZAVUeGeDZF/tzrAixkm+uh6aoCHx7O9x7YpuypAv3rp0QvV7op9VAXzW4X1ktyW6JLgITlXQr\nsBYLWKMRos83YuOV0RAu945dDjrSnkD3nt0QXE7opkyFaeFhcbc1H7YYrE4Hz96v4W+X/3bHyzgU\ngiCI8QKJwElIPGdQBX3WRGAoE1iVWiZQk58vl7D6fSm7ZAZ6e9C64X403XwDuv76FLqf/hu6/vJn\ndD75BGz/fBqi2w3zkqUoOeebw15rmBESn2NUhirHF31GYCSm+SFzijFeOQ+LwJGUg6ZPBCYqBVWP\nrXyO6+vUxwK9vej6658ByDfdAGD793MZc6WUgkF49spCz7wofDNsDpWEunbugOBywb1rJ8AwsK46\nPOE+846S+6tcW7ck1cfL27rRFyr1rPzhj6OOLSg48WSwFgv8jQ3wNzYk/sWGHqO9DaLXC01xcVxR\nEYnaX1dXF/V5KRiEOySgLStXo+DEkwEA9nfeTjm+VHEqPZxHHDXsObWPujn6ZzyRuZMCwzBZLQlV\nehfjlYOGZwWmJlIVQ528I45MOP+Vs1hQuvY4AEDrvfeg8abrUffTH6Hlt3epmXKCIAhidJAInIQE\n4jiDKoRvapoyatme7M19NIxKNrA++ZJQf0szmm+/Vc6IGAywrj4C+cetRd5Rx8B6+JGwHn4Eyr/3\nfVRdfgUYjht+TKUXcYwcDSVJSqqUzDg3JAIP7B+z0lQxwMvZCY5TswHJoC0uAWs0QhgYSNsNHN8e\n3xRGwTg3lF2LEMe9r74E0euFeekyzLzvQRgqyhHo7oIrlHkba7x1ByH6fNBVVQ0SX5YVKwCWhWv7\nNnT+5UlAEGBauCip/kt9VRW0pWUQvV74kijh7n3lJUjBIKxHHjUoux0Jq9fDukqewTnUsCYZFJMm\nJUudDMps0FiLKr6mRoheL7QVFdCVlSH/2DVg9Aa5FHYM3YzFQEB9DywrVw57PnKhI9r1MpBEr52C\nag6TpAj0t7ej97VX4pbQJovaf1wce4FQHRGRQjmo6POq/aHW1YkXNQCg5rvfgX5aDQSnA3woG+g9\neACdf/pDVkplI5FEEV1/+wta/ve38Oz9OquxEARBjBQSgZOQeM6gCpzVqro68p3pdXWMheB2Q3A4\nwOh0KZUbKhhSNIcR3G60Png/BJcTpoWLUHvX71B52U9Q/t1LUHHpD1H5ox+j8kc/kW80YwxGN0wP\n9SKmIDxTQXS5IHq9YI1GeVBzDLRFRdBNmQrR54PnQGyr+tGgODFqCgqSGhSvwLBs2mf28Z3J9Y6a\n5s4DEBLHooiAzQbH5xsBhkHpeReA4ThUnfMNAEDfG6+n9eaS7+6Ga+cOiD7voMdd278EgGHiS1tc\nAuvKVYAgwL1DNhsqOfvcpI+nOIh698W/KQ309shZLZZNuH/TPHmfI5nB6QtlD5W/y2Qw1NYCDAN/\nawtEfngfpyIOjbPkslHOZEL+sXLGyP7OWynHmCzeA/sh+f3QV1dHXYzR5BeAy8+H6PWqi2yRJDMo\nXiGVMRGBHhtaf3c3el/6PzTdetOoRyrEMwxT4PJSLwd1bf8SEs/DOHtO3MXHSLRWK6qvuxFVV1yF\nKVf9D2rv/h04ixWevV+r5dRjgSQIEH2+uNvY33oDAx9/CO++vWh/9GHKThIEMS4ZFyJQFEXcdNNN\nOP/883HxxRejKcNmJRONoCIC43zRA5HmMI1jHJGMavRRUZmSyFBQ+gL9TcmVrvW88G8I/f0wzJiJ\nqp//UrU+TwX91KlgtFoEujohuFwpvz4RvE05V6UJS6gsIbc9RUCkG7UUNMoQ6UToq0MiME3ZmkTj\nIRS0ZeXQlpZCcDrh3rUTvW+8CggCrEccCV15OQCg7ITjwVnz4G9uGpHYiYZz21Y03nAN2h/egIbr\nfq1mqSRRhDPU02ZZsXrY60rPvxCGWbPB6HQoveAi9TOdDMq8Ok+CkmD7f94GRBHWVYfHLQlX98kw\n8B6qS7knSymNVLJkycAajNBNmQoIQlRTKl9DSFhGvC+FJ50MMAycWzbDH/p7STduxeV0cRxHy+pw\n9UQkIs/LWTOOA5eXn/BYijkMn4QI7H//PbV3UHA40PvqSwlfEwvR71fj1OTHjlN1B00hE6iMQ7Ee\nfkRKMbFaLSyLl8C8cBF0pWUoPO10AHI/61gQ6O1B06034dCVP0ffW29E3Ub0+QY9J3q9sMfYliAI\nIpeJ7gqSY7z77rvgeR7PPvssduzYgXvuuQePPfZYtsMatyTTEwgA+poauLZvg6+xAXlHDu+DSYQY\n4GH71z/gPXQIlT/+GfRV8W/YlfInpRwqVfTV0+QsQns7xEAg5rBjQC5VG/j4Q4DjUH7JpXG3jQej\n0UA/rQa+Q3XwNdarRh/pQskGxMvaKpiXLkffG6/BuXUzSv/rgpimPyMlGefAWCi9ed5D0Xu9UsWf\nZNkwwzAoOOEk2J79F9p//6DyIIrPOEvdhtPrUXDSyeh98QXY33oD5oWLBu1DCgZTei8FtxtdT/0J\nkCSwBgMEpxNtDz2A2tvugvfAfggD/dCWlMIwffjYB01+AaqvuR4QhJTPn2FWqJQyZI4UbSFFcLsx\n8MnHAICidacl3CdnNkNbWoZAdxcCXZ1qRjcRUjCo9uYqxkDJYpwxA3xrC7z1dTDOHlxK6ms4pG6j\noC0phXXV4XBu/gKtL7yIvG9dmNLxEiFJktyfCXmofSwM06bBs2cX/M1NckY3RORszWQWt5ItB5UX\nFOSZiuXf/T66/v4XOD75GCXnfAtcnKqBWCi9x9qi4rhxalR30OR6AoMOh7y4wnHqLMiRUrBmLXpf\nfhHeA/sR6LEl/A5Lle5//F393Pa88G+Y5i9QF0MVHJs+h+jxwDBzFkrPvxAtd90Ox+ZNKDnv/BEt\nXg5F9PtD39ERVQlDKxSGFSwMfiBhRUO05xPsc+hrhu8i9vbOPjO8dnfiONL9eyVT2ZFgm2HHTPm9\nlSAFghB5P0S/H5I/9O8Yj3MaKzwmHTye4VUakx6GgXXV6mGmYbnOuBCB27Ztw7HHHgsAWLp0Kfbs\nid+fUlhogkYzvH8rFygttWY7BDT0ySKwfG4t9MWx49GuWIzel/4Pgcb6EcXd8tzzGPj4IwBA//P/\nwqLbb4m7vc8rryznT5sywvfJirYpVfC2tsHs7YelKnYWZfcDLwIApp57NqYumTeCY4XPpWvhPLQf\nqgPb1YbS42MPxB4JPo9cZpRfMzXheyKVLEbP1CnwtraBa65D8eGju+Eaip/3AADyppSnfH6sR61E\n11NPwndgP0qKTIP6K/t37ETH62+CMxpRfeH5MFZWxN1XYGAAossFzmhE5ezqhBnSonPPgGfrJrgP\nySW70y+9BFWHzRm0zaz1Z6P/rTfg2fs1DP1dsM6ehaDHg4MPPIS+LVuRt3AB5l/3a2hiOJFG0vbp\n+xB9PuQftggLbr4Re264Cc79B9D/7N/hbZVvMKd84wyUlaWeeY6HVGJBa2EhAnY7LAEXTFOHfxl1\n7dgEye9H/mGLMHV5fNdRhZ7pNejr7oLe2YvS0sQunwDgbmiEFAzCUFmBimmpLeqISxZi4OOPILU1\nD/qcBRwOBGw2sDodpiyZN+gzZL74Amzf/AW63n0f0y66ENq89F1nPS2tCPTYoMnLQ/WqxVF7gwGA\nWTQPfW+8BqmrbVDc9taQcK0oS+rvxo/paAUg9Njibu+qb0Cwrw+64mLMPPd0+Hd9if4dOyF9tR2l\nZyQW+EOxt8h/36bK+H/fkmRBvU4HkedRZNWCSzD/sWPzJ4AoonDlClTMSK3Xe3gcVvQfsRo9H38K\nYc92VJ33rZT2Fw9vezvcu3aC0WpRtHoVej/bCNc7b6D6+msGbde1Uy7nrj5zHUpXL4GtogK+zk7o\nuppRsDi+62kiut59Hw1PPgXB4xnVfnKNsfPOJjJNX7YDyGVsnZh63a+zHUVKjAsR6HK5YIm4+eI4\nDsFgEJoYK+V2e25eQEtLrbDZMm/7HYno9yMw4ACj0WAgqAETJx6xqBLgOLjr69HV0g3WYEz6OJIk\noeO9D9SfB3btRtueOrUELxr9TfINcsCUN+L3SVNVDbS2oXPn18jPi75K7K07CMdXX4M1GqFfc/KI\njhV5LsXyqQCAvq/3w5jm89vfJM/9C5jzk4rTfMTR8D7/HJqefxHijJGJ21gMtMq9oQG9OfX3jDHK\nGSVbN1q27lYNdRybvkDnHx9XN+vbsQvT77wn7mBxzwHZcERbUYmenuRKcCv/+1p4vtoDTWERtLW1\ng+IvLbXC7hWRd9xa2N9+EwcefQKFp6xD7ysvqVkBx56vsPvu+zD1yl8lPFb7W/LcQfOaE9Hb70Ph\n+d+G887b0PuZ7I6oKSyCZvkRY3It0NVOR8BuR8e23cjTDxeZ7e/JWUDDitXJH79E/pvt2XcImB+7\nHDISxx65L1VTNTXl3zNQKovXgb37B71Wma2or6lFT9+Qa7yxAKZFh8GzZzfqX3kTRaemLoJiYf9M\nzrYZ5y0YftwI+AJZ7Drq6gfFbd8ni0CmuDSp90ISdWD0egQGBtDZ0BFzBEr/Nnkshn7WHPT0umFY\ndSSwYyfa3/sQmtXHJPfLRWA/2CgfP78wYZysxQqxrxdd9e0JqxTa35MXAvXLVqb0WYj1falbuhL4\n+FN0ffQJDGtPSXp/ieh9630AgHXVauSfex56N36Ovq3b0FnfHjbDcbkwsOcrgGUhTp+Hnh4XjEuW\nwdf5Jto/24xAZe2Ij+/ctgUdjz0CQK78YLS6wRskWOwa+vzwzYc8kGh/0bZJ8JphC3KhHzUaDsGg\nMDyGZOIY9nultn1Sz6f6ew17L+Pvj+E4sHo9GL0erE4P1mCQKz2SOQc5hokygdFhGFhXpHaNyxTx\nFvXGhQi0WCxwu8OlBKIoxhSARHyUEiNNSUnC0hVWr4dhWg18DfXwHjo0rEwuHnxbKwKdneCsVhhm\nzIR75w546w7EFYGB3uTKVOOhnzYNzs1fwNfcjFhdLUo/R8HxJ4IzJi9sY2GorQUA+BobR72voagl\nsqXJZVPy1xyPvjdeg/fAfji3boFlxUpIPA+G44aVFyrlZILDAcvyldAmcC4cTTkoAJgPOwz9778H\n5+YvYJwxE4HeHnVUQ8EJJ8Kzbx/49jbY330HxWd+I+Z+FGGWyBQmElang2XZ8rjbFJ6yDo4vNsJX\nfwgdj8s3Y7qKSpRd/D20//5BePbsgmffXrX3LmpsHe3gOzvAmsyq8YthWg2qfnI5bM8/C9ZgRMX3\nfxBX5I4G4/QZcG//Et6GQ8g7anBWWvB45DmSLAvLshVJ71MXKm/xt7Um/RrFzXEkLr+6ikqwRiOC\n9j4E7HZ1vIRi+BSrT7JgzVp49uyG84vP0yoCvfvkHktlDEsstCWRLrj90OTLrq6pOh4zLAt91RT4\nGurhb2tVzY2GophRKWNqLEuWgNFo4DtUh2C/PeXe3UBET3YiuLw8BPt6EXQ64opAvrMDvkN1YHQ6\nWJbG//tLFvOCRWCNRvhbWsB3diQVbzIo7qWWFaugKSiAaeEi+fO0bQsK1p4AAHDv3gWIIozz5qvi\n3LRgIexvvzmqfuKgw4Guv/4FgDz/suj0M0f3y+QYubAATqQHOpcTi3FhDLN8+XJ8/LG8gr1jxw7M\nmTMnwSuIWPBdcjZHVx6/5E7BOEvuyVHs3pNFMacwLVwUdmg8GH8fqmvpqERgdHMG9Ri9vXDv2A5G\nq1VnjI0WbVl56OavH4GQeUq6CDu5JicCOaMRxd84BwDQ8fgjqPvpj1B3+Y9R94ufov3xR1THRl9z\nE5rvuh2dTzwO2zP/RNPNN8CbwOFUnVeYhM19NPKOkku6HRs3QnA60f2vf0DieVhWrETphd9B6fly\nL5fjs0/i9n4kawqTKpr8fEy98n9gWnQY9LXTUfLN9Zh2480wzZ2HwlPWAQD6P/wg7j5cIVMey5Kl\ng8oGLcuWY/qdv0XNb25Juq9uJChOnNHcaj17v5ZvYGfOSqlnTBHbqcytU3s2E/QBR4NhWVXoRY6K\niGYKE4lp0WJwRiP8Lc3g0zRjTxLF8LVsXvxSWIZl1f7HyHmBI/m86qbI1QXxhLcvNJZGeT9YgxGm\n0NxJxYE2FRQX6GS+GzRKZiyBK2b/Rx8CkA1hWL0+5ZiiwWg06oKOYrIEyD3ova+8hLZHHlK/55Il\n2G+Hv7EBjE6nuuxaV8rGTa4dO9TtXDtDf98RC0rG2XPAaDTwNzchmIJZTiS9r74M0eOGaeEiFJ52\nxoj2QRAEkSrjQgSefPLJ0Ol0uOCCC3D33Xfjuuuuy3ZI45ZURaBhtiy4vQcPpHQcZXvj7LkwhISk\nL44piCQICPb1AQwDTRI26rFQ5xu2tkSd1+Xepbj8LYnrgJcKDMPAUCubfIxkqHYsxEBAduRk2YRZ\nukgKTjgJ+cefCHCcamoiBQJwbd2C5jtuRf21/4Pm22+Bv7EBXEEB9LXTIXq96PzjYxD9/pj7Ddvc\nJ2fxPhR9TQ2Ms+dA9Lhx6KpfwL1jO1iDAaXnXwiGYWCavwCc1YqAzQa+NfbN72hmSSaMsboaU6/8\nb9TceDOKTj9Tzdgpxkju3bsgBmKXwnj27QUwfPxDpjDUTo85YsETmnNnSiGjD4TnUwZ6e5MeoaGc\nI/0Iz1FYzMoiUJIk+BoV0TPcUAeQnSQLV8kz/FzbYs989Le0wPb8c2qM8fC3NEP0uKEpKUnKnElZ\nhPJFzA0Nf16Tz1jpp8jZVz6GCBQ8HvCdHbIxVYTxjnW5/Ps74/z+sVBFYBJxakLZWWVsTDREnodj\n46cAgII1x6ccTzwsIYHm3LJZfcz2zD/R+8pLcG//Em0P3Bf3WjYU107Z+Mc0fwFYnVyGaT5sseyM\nu+9riD6fPCsyVJKsODEDcpWBcU5oHunXqc8M5Ds7ZZMyhpENvcZhiSBBEOOTcSECWZbFbbfdhmee\neQbPPvssZs5Mfu4UMZhASARqk80Ehtz5fPWHknazkiQpQgTOkTMfDAO+uyvmPoJ9fYAoQlNQMGKn\nTgDgLBZoioog+f0IdHcNe151+TsstsvfSFDcL31JjqdIhmBvDyBJsltfCuXPDMui/NsXY9bDj2HW\no09g9uN/wvTf3Y/CU9eB0RsQ7OkBw3EoOPlUTL/jblRfcz10U6YiYLOpzpFDEf1+CC4nGI1GnROW\nKgzDoOJHP4a2TC4JZvQGVP7kZ6rIYFgW5qXLAIRX3KMRzqykpwwsGbQlpdBPq4Hk96nlgUORRFFd\n6FAWTzINazDI5ZuCMCgbLkkS3F/JN7CplHUDAGs2g9EbIPl9EN1RHP6GIAYCctaQYZK+zgxFGRqv\nXEcCNptsBmTNgybOIkTJUfIIAteX0UWQv7UFzXfeCvtbb6Dl3nsQ6Itvc6CI+nglwIP7taTfAAAg\nAElEQVTiHlI5EejrheB0gjUaUyqjDs/VjC4C/U2NgCRBXz1t0PXSvGQpwHGyC22S7p2A/Pcd7OsF\nOC6pSgzld1FKxKPh2rYFotsNfU2tukiWLswLFoI1m8G3tcK1awdcO7ZjIJR1BOQKingLAUNxKxm+\n0PUHkCsDDDNmQgoG4dq5Hd79+yD5fdBNrR72HpkWyCZLIykJ7XnxeUAQkHf0sdCHMsAEQRCZYFyI\nQCJ98F2yMIrXmxeJxpoHXWUVJJ5Pegh7oLsbwsAAOIsVuspKsDqdnD0ShJhlWukoBVVQV+OHzuvy\n+8csU6NkJ9LZF8in2A84FFanU1e1tUVFKD3vAsy87wFMu+lWzHjgYZSdfyFYgxGsVouSc+Sh4fZ3\n3oqaQQ2Xgsa3j0+EtqgYtXfcjZpb78TM+x8cNlLDvEAWKN790Qfeiz4vgvY+MBpN2u3hE6Hc6MXK\nivtbWyD6fNCWlKp9bNlA6RGLLAkNdHUh2NsL1mJRFyyShWEYdch5oK834faB7i5AFKEtLVM/f6li\nnD0H4Dj4GuohuN0RpY/T42ZKCpYvA6PTwddQr35mI7E9/291IUpwOND35mtx4/AqpaBzUxSBhw5B\nEgS1BN4wc3ZKGR6lD5Nvb4uafY3VH8mZzbJgFUW4diRfEqourJSXx3Q/jUTJBAbiiEClFDR/zdqk\n40gWRqNR++baH34Q7Y88BAAoOe98lF18CQDA8fnGpPYl+nyyeGOYYXMg846QKwAcn34aLvVeOtwc\nKVIEJpstB+TFAte2rWB0OhSffW7SryMIgkgHJAInEZIkjchUw7RQ+YKLP5pDITILqNz4aEPN+7FK\nsBQRqEkwwD4Z1L6cIcOmPfv2QgoEoK+dnrZSUAVlpdvX2JDSTUA8UpkRmCyswQjDtJphhjjmJcug\nKSlBsK8X3gPDBVgwNFZEO4pSXQWGZaGfMiVqj5BSVuU9dDBq1tjfLt+sassrkrpZTSeJ+mOV0kVD\nKIuVLYzT5UqJyEUbd+hv1zx/wYhEvHLeg1GE1VBGUv44FNZgkLOBkgTP3q/lfkYkfm85vV5d4Bma\nDfS3t8GzZxcYvR5Tr74WAOD49BMIMbKbkiSpcy2NSfahawoKoC0tg+T3wdfYAG+dfC00pdjHrsnP\nB2e1QvR65SqJIQztB4zEskIpCd2W9PH8LfK1Uj81uZmO4Uxg9B5of2sLfHUHwRoMyFud2oD4ZCk8\n8WRYVq6S57JJEvKOPQ6FJ58qz2hkGHgO7EuqJNT99VfyOJPpM4Z9L1hXHw5Gp4Nn71cY+FB2D7WE\nSm4j0U+tBme1ymZGIYOdREiiiO5n/in/LiedktWFI4IgJickAicRwZ4eiF4vuLw81bkuGUyh7IzS\nD5EIRUQYI0ri9JWJRODonUEV1L7ACHMGIFwKaokz8HmkaIqKwVmsEF0uuYwzDaiCPU3ud/FgWBZ5\nRxwJAHB8MXwFPTITOJZo8vOhq6iExPPwNTUOe14dQJ6FsimlRNHXUB9VoCpZ4Fg9a5kinAkMi8Bw\nP+DI5phpIvoCEzEaZ9BIFDHn3LoF7t3J/+2GRdBgEaiUC+YdcSRMc+fBNH+h3Cu7PbpYCnR3QXS7\nweXnp/S5N4f6xZxbNsEdcpw0zp6b9OsVYpnDSJIE36HQgsOM4a0RlmXLAZaF5+s9CPYnZ1Tlb5Gv\nlZH9hfFQRWCMclr7O28DAKxHHj1mTriMRoOqn1yO6b+9D9N/ex8qvncpGJYFZzbL2W5BUEV8PJSy\n0chSUAXObB6UobOuPkL9fhkUC8vCNF9eLHV/lVxJqOPzz+S+7PwCFJ1OZjAEQWQeEoGTCKU8Mtkv\negXT3Hlg9Ab4mxpV8wAAELxe8F1dg8oHJVGEe488v8o4L2xtrtwQ8jFWSdVy0BGajkSiloO2NKlZ\nOUmSwv2AYyACGYaBvja9JaFKP5C+euzcJCPJO1wWga5tW4eZnygGFZnow4tnJKTGMQLXydHCWa3Q\nVlRACgTgG7LAAIT6tAAYUiy3TDe6qilgTWYE+3rBd3ZCCgbhUcYcLEhuQPxQ1ExgEuWgqilM1fBh\n9algXX04AMC1dTOEgQFoCougS8JZ1bJ4iVwSWndQvd6Ifr9qUpIfMimxrg6Zi2zeFHU/6giG6TNS\nKuW0rlgFAOh/9z8I9vVBW14Bwwj62JWFDr518KjtYE8PBKcDnMUKbdnwUnGNNU8WgqKolmQmwt8i\nH0M/LbnvBm1RyBjG3jes8iHQ1wfHps8BhkHhKacmtb/RoC0uHlahYFIMzaJUNUQSdDrg2rYFYBhY\nVq2Ouk3hyaei8sc/Q8m3/gtl37k45r5SqZgJ2O3oef45AEDp+vNSmsFLEASRLkgETiLU1d4oK5nx\nYPV6ucQGwMCnH0MSRfS++jLqr/oFGm+4Bo03XqfaqHvrDkJwOGQjjQixqQ31IAZstqjHCGcCRy8C\nNUVF4Kx5EF0uBEI9kHxrK4L2PnD5+Sn//skSnhc4enMYSRThD938jeVIgUh0lVWqU6iSwVBQBWkG\nYjGGbpijreL7s5gJBMIlob4hJaFigJdjY5iUF1nSDcOyMB8mZ/zcu3bCs+9r2dCiqioll9lIFDOW\nQBJZbn/76MtBAXlBKNLJtOCkk5MSY6zBqGa17f95BwDg2PgZRK8Xhhkz1EyOZdkKOWO2fx8Ez/Ah\n8L4GOdtmjJJti4dh5sxB15jCU9aNqARXXcwakhFX+wFnxBanBSecBADo/8/bCcfWSMGgeoxkP7us\nwQjWaIQUCAwzoOl/9x1AEGBduQq6EfYzjxalfDfRaCP7229BCgZhPmxxzFgZloV11WoUnXY6OFPs\n0SpKxYxn//6YBmiSJMG1awda//e3EJxOmOYvgDW0+EYQBJFpSAROIlTnwhFkKvKPWwNA/oJve/B+\n9L78IqRgEKzRiEB3F1rvvxf9H32A3pf+D4BckhV5g6IY0SiibCipzsOLB8MwMIWykJ69cmmOYpJg\nPmzxqIxN4hHZFzhaAjYbJL8fXEEBuNBMrkygloRu/Ex9TJKk8AJCBkSg0vfli2JEpJbIjjLLNFLC\nxh+Dby79La2AIMhGSGNU/pYKSkmiY9PnGPjoIwByKdtIUY1hEpSDSoKgOhCnI2tc8YPLkHfUMchf\nczwKT04+q1Rw0ikAw2Dgk49gf+8/6HnxBQBA4UnhfXAWi1ziKwhRXR299bH77uLBsCwqf/Rj6KfV\noOiss9VrZ6rEup6o1/E44tQ0dx7MS5ZC9PnQ+r/3qIsn0fC3tkDieWjLy6FJwflXcX6NvKYLHrea\nfSw89fSk95VuDKG+WH9jQ1SjK0AW0/3vyosERWeePepjagsLZRM1vy+qiZro86H94Q1of2gDAl2d\n0E2tRsVlPxmz7yOCIIhE0NVnkiAGAuqqqHFu6v0pxpmzYF62XC4t+2qP3I9xxZWY+cDDKDjpZEAQ\n0P33v8J7YD9YiwWFp5426PVcfgEYnQ6CywnBM9iIQeR5eegwx6muc6NF7c8IubU5N30BIDwAeCxQ\nMoH+psaYNx7J4tm/N7TPzPaXWQ8/AuA4uPfsRnBAngEW7A31klqs4NJsqBMNXUUlWJMJQbt9kBul\n4HYjaLeD0enSapaTCurogrqDg8rg/KHRIIaa7PYDKliWLANnzYO/qVHueeM45B9z3Ij3p/TEJSoH\nDfTYIAWD0BQVpaXETZOXh4pLf4jyi7+X0s2yvmoK8teeAIgibP/6hzyIe9Fhw0r+lNJwZX6oghjg\n5YWPiDLvVNBVVqHmpltRcva5I577pqusBKPTIdjbO2gIuSIwjAlMcsq/+33oq6ch0NWF5jtuhfPL\n6L2PqpHXzNmpxRda2OO7wiX+Ax99BMnvg2n+AvV6mA00BQXQFBZB9PmitiAIHjfaH3kIUjCI/DXH\nwzgjNaEfC9MiOQPv2j7YmVUKBtH28Aa4d+0EazKjZP1/Ydp1N0JjHdm4HYIgiHRAInCS4GuohxQI\nQDdl6oi/eCq+dyksK1ZCXz0NU678b1gWLwWj0aDsgm+j7NsXQ1taCn1NLaZcfsWwFWWGYdQsX6B7\ncEmoWgo6yvEDkZgWLZId4nbvguvLbeA7O8BZrEnP+xoJmoJCcAUFEL1e1dlzpIzVPMNEaKx5siGH\nKMLxxedyLCFDIMPMmRkZZMywrJp9UQwwgIgsYGVV1lbPtRWVYC0WCAMDCPaESyPVcros9wMqsHo9\nis8+R/255OxzoSlI3gxqKJqCAoDjIDgcw/pFI0mXKUw6KP2v81Fw0inQlpcj7+hjUfXTnw/7/Coj\nAdy7dw9auPE3N4cyu1XDnHQzBcOy4WxgnZz9E/mwOE1kQKTJz0f1tTfAeviRkHgeHX94FO6vhver\nKUYmykzYZFEMq5Q+cUmSMPCpnHUuOPmUlPY1FqgGSQ31w57rfeVlCAMDMMychbILv522YyptE84t\nm9TPkyQI6PjTE/Du3wcuvwDTbrgJRetOj+qOTBAEkUlIBE4SnKEb+lQHRUfCWSyo+unPUXPzbcPE\nVMHxJ2L63fei5je3DHIFjUQXGhI+dIh7OmcEKmiLimFeshRSMIiOx34PAMg//oSUhq6PhHSUhApe\nr1qelu55hsmQf/QxAADHZ5/KPSwhq/1o1uhjhZpxiyirUvsBs1QKCsiLGZHZQAVfg5IJrM1GWFEp\nWHsCqq+7EZU/+wUKTxud+yDDstAqjpC9sWfDqeMhsniOFFitDmUXXITpd/4WFd//QdSbbl1VFTTF\nxRCcjkGGTt4DoezYrCyP+5gbKmsPzTf1NdTL4rRqSlKZVlavR8UPL5NLaQUB7Y/+ftD81GB/Pzxf\n7QY4Dpaly1OKTatmAmUR6Ks/hEBXF7j8fJhH6EKbTgy1iggcfC0WvF4MfCKL1bJvX5zW7wTDjJnQ\nlJRA6O+Hc8tmiAEenX/+E1xbN4M1GjHliiuTntFLEAQx1pAInASobm0A8o8deUnYaFGc7PhYIrB0\n9KYwkRSfcRaY0LBqTXExCk9Zl9b9R0MRgcqQ6EgkUYS/vX2YkcJQHJ99ConnYZw7b8RGHqPBfNgS\ncPn54Nvb0PfaK/Ds2wtGo4lqoT5WqH2BEeYwqjPolOwKjKHzAgWXC3xbKxiNBvrasTEdGinGmbNg\nXb4iLRlcjdoXGNscxp+GGYGZhGGYqCWhitGVMckh8WOFaf4CAFDnJKoVAiks5jEMg5Lzzof18CMg\n+X1o//2Daql3/4fvAZIE8+IlKfceq5nANnlxRhm1YF19RMZneEZDyZQOzQQ6N38Bye+Hcc7cqOMe\nRgPDMCg+4ywAQOeTT6Dx+mvg3PQ5GL0eU375q5xaJCIIgiAROMEJOh1oe+gBSH4/zIuXZLVMS3UI\nHSICg7b0ZwIB2dCh+prrUXzON1Hzm1szUtal3rQNMZrwNTeh5e470HTT9ai/+io4Qj2KQ5FEEf3v\n/QdA2OEv0zAaDYrP/AYAoPflF0ODmNeAM8d2xks3hukzAIaBv7kJYiAAAPA1KQOts+MMqmAYkglU\neqoMM2aC1eqyFtdYoylSBoTHyQSGykH1ldnPBCaLRSkJDQksSRDUc2oaQf90OjFMnwFGbwDf3ga+\nq0t17U11zA3Dsii/5AcwzJyFYF8fWu/7HQY+/UR1Ty065bQEexiOfspUsAYDAt1dCNjtah+cZVlq\nGcWxwlA7Xb6GtLZA5MMlzM4tmwFgVD2y8cg7+liYFskl9UG7HdqKClRffZ26eEQQBJErjG1tHJFV\nxEAA7Q9tAN/aAm15BSou/VFW41HKQfnuwf1y6RwUPxRDTW1GV18N02eANZkQ6O4C39UFzmpF70sv\noP+D9wFlZmEwiM4//xHakpJh5g7undsRsHVDW1Ka1Zup/GPXwL1nN9w7d0BbUaGKwkzBmUzQVVaB\nb2+Dv7kJhppa+ENlbEqZV7Yw1E4HOA58exsEj1vN0iilexMVbYIB4ZIoqiYc4yUTCMjnjdHp4G9u\nQrDfjkCfHZLfJ7tlFqTHqGqksFotLMuXw/n5RnQ++Qe5t9lqHZGgYLVaVF1+BVrvvQd8ezu6/vIk\nAMCyclXK/YAAwHAcjLPnwL17F/pefxUBW/eIYxsLWIMBuqop4Nta4WtsgGnOXASdDnj37wM4Dual\nS8fkuAzLYsrPr4B7z24wWi1M8xeQAyhBEDkJXZkmML0vvwhfQz00xcWo/vW14CyWrMajlIPG6gnU\njIEIzDQMy6qr9O2PPozm229B//vvAQyDgpNPxcyHH1PdVDv+8KhalqVgf+dtAKGZaFm8cWA0GlT9\n7BeovvYG1Nx8GzQZcAUdijJg21t3ULaxDwSgLa/I+ueY1enkhQVJgvfAATi3ypkFS4rZmfGGkgkM\nxBCBQXufPNYkLy/r5ygVWJ1O7XF279oliwTIYxZygbwjjwYQHl5fePKpI+5j0+Tlofq6G1FwwknQ\nVVQi76hjUPH9H444NqXyYeDD9wHIi0e5JHiU86pUZri3bwckCab5C+LO/BstSvm8eeGinHo/CIIg\nIqGrU4YQXC4IPt+YHyfocCBgt8Ozby/s77wFMAwqL/spNPkjdwZMF5qCQjBaLQSHA4LXC0B2lBur\nnsBsUbROno/Ft7UiYOuGfloNam66FWXnXwjOaETp+vNhmDETwb4+NN9xG1zbv4QkSfDs/RregwfA\nGo3IP+bYLP8WoZX+WbOzVuJoDo35cG3bAu+B/QDCjn/Zxhyygm///YMQHA5oKypGNEpgPJGoHDSX\nnEFTRZmr6Nq1A559uZXZNc1foJaGmxYsRMGJJ49qf5zJhLKLvoPaO+5GxaU/HJVLZd7Rx0ITyhCz\nJvOoY0s3pgXyNUQRgc5tWwAA1hWZM7kiCILIVagcNAOIPI+G665GV/VUVF59fUomDZIkQfR6klq1\n7P/oA3Q//Te17BAACk9dl3CeVKZgWBba0jLw7W1y6dC0GohuN0SvF4xeD86SuaHoY4l+ajVKL/oO\n3Dt3wDhrNgpPPQ2sLiykGI0GVZdfgfZHHoKv/hDaH3kIhpmzwHfIpXSFp56Wlhlr4x3zkqVg9Ab4\n6uvVfkClfyvb5K9Zi743XoMUDAIACk86JSPjM7KJtlCZFRhdBCrurbngDJoq5sOWAAwD947t8gMc\nB9O8BdkNKgTDMCi76DsoXHcaNIVFOfU548xmTLnyV3Bu+gL5a9ZmpWIgHqa5c8FoNPA11MPX2CC7\nrLJsyk6oBEEQExHKBGYAhuPA6HRwHTiolholgySK6HziMRy64nJ0/f2vcQeQ87ZudP/j72EByHHI\nP24NSr553mjDTytDS0Ij+wFz6eZmtBSecBKmXvU/KD7r7EECUEGTn4/qa65H6QXfBms0wneoTh5o\nvXARikZp5z9RYPV65B15lPyDIIA1GsesjydVNPkFKPvO96ApKoJl+QrkH7c22yGNOZHloFLEQpOC\nagpTNf4ygdqiIlgjBslbVx+ec4JGW1Sck9dI/ZSpKPnmemiLc6+SgzUYYV66HJAkNN99ByAIMC9Z\nmrITKkEQxESEMoEZgOE4FKw5Hr2vvIT+995NemC5Y+OnqpPZwEcfwDR/gTqMdij2t94ERBF5Rx6N\n8kt/CIhiTth0D0VXVg43gEDIHEYRg9rS8d8PmCoMx6HwpJNhXbUarh1fgjObYVm+knpIIij55rfg\n+Wo3ggMDKL3gopxy38w/5ticKNvNFKzJBEavh+T3Ra1O4DvGbyYQAIrP/Rb4ri6wRiOKzzon2+EQ\naSL/uDVwbd0MCAIAeX4mQRAEQSIwY+QftxZ9r78K144vEejtSWrV1PH5RgCAfloN/M1N6Hvjtagi\nUAwE4NwsjxwoXHe6vFqcgwIQiJgV2CWLv/BcsfGXPUgXmvx8FKw5Ptth5CScyYyam2+HJEkZGfFB\nxIZhGGgLi8B3diDY1zdIBEqSFJEJHJ8iUFdahprf3JLtMIg0Y5q/AIWnnQH7W2+g8NTT1D5BgiCI\nyQ6lHDKEpqAAxUcfCUgS+j/8IOH2wX47vAf2g9FoMOWq/wZrMMDf3KSaqETi+WoPRK8X+upq6LM8\nSDsR2rLBswL5UB/ReL1xJMYe1mAgAZgjxHIIDfb1QfT5wFmtVGpH5BQMw6D0W+dh1sOPoXT9f+Vk\nSS1BEEQ2IBGYQSrPkF0jBz75aNDw2mg4t24BJAnmw5ZAY82DaeEiAIArNCx40LZbNgEArKsOT3PE\n6UcXGhjPd3bI2QMlEzgO+4gIYrKhOEEG7fZBj4/3UlBi4sMaDNkOgSAIIqcgEZhBrHPnQF9TC9Hl\ngnPzprjbKs9bV8vCzhxyRfR8tWfQdiLPw7VDFoaWlauR62iKisGazBCcTgRsNrkslGGgqxg/w6UJ\nYrISHhPRO+hxf5siAmkxhyAIgiDGAyQCMwjDMOq8p/73343qsAcAAZsNvvpDYPR6dfC4ac5cAID3\nUN0gl1D37p2Q/D7oa2qhC/Xb5TIMw8BQWwsA6P/gPUAQoKusHNWsKoIgMoNWyQQOKQdVMvpU1k0Q\nBEEQ4wMSgRnGuno1OIsV/uYm+Orqom6jlHdali5TxZGmpARcQQFEtxt8Z2fEtqHht6tyPwuoYAgN\n1e7/z9sAANN8atQniPFArJ5Apbd3Mhs8EQRBEMR4gkRghmG1OuQftwYA0PfGq8OygZIoYuCzTwAM\n7vFjGAbGWbMBAL66gwAA0e+He9eO0LbjRwQaZ88Z9LNpfm4MZSYIIj6aotDA+N4e9TFJFOFvbQUA\n6KdWZyUugiAIgiBSg0RgFig48SSwRiPcu3fB8cnHg55z79qJQFcXNMXFMB+2eNBzigj01h2Qt925\nAxLPwzBjZk4O6o2FaeEi6EI3i5rCQrLsJohxgra0BGAYBHp7IQWDAEImTzwPTXExOIslyxESBEEQ\nBJEMJAKzgCa/AKXnXwgA6Pr7X9SB8ILLBduz/wQAFJ50yrBh78ZZcgbNGyojdaiuoOMnCwgADMui\n8geXIf+4tai+9gawutwZAE4QRGxYrU52CBVFBHplcxh/UxMAwDCtNouREQRBEASRCjk/LN7pdOLq\nq6+Gy+VCIBDAtddei2XLlmU7rFGTf8xxCNrt6H35RXQ88Rgcn38GX3MThP5+6KurUXD8icNeo6+u\nBqPXI9DdBV9TI9y7dgIsO+5EICD/LuXfvSTbYRAEkSLasjIE+3oRsHVDV14OX1MjAEBfU5PdwAiC\nIAiCSJqczwQ+9dRTOOKII/D000/j7rvvxm233ZbtkNJG0ZnfQMk31wOQy0CF/n7op9Wg6hdXgdEM\n1+cMx8G8QJ4X2HzHrYAgwLx4CTQFhRmNmyCIyYviQhzo7gIA+JtDmcCa2myFRBAEQRBEiuR8JvCS\nSy6BLlQuKAgC9BNolADDMCg6/UxYVqyEd/9+aMvKYJwzFwwbW5vnHXssXNu3ASFDmcJT1mUqXIIg\nCGhLywEAfFeXbAoTEoH6aZQJJAiCIIjxQk6JwH//+9/461//Ouixu+66C4sXL4bNZsPVV1+N66+/\nPuF+CgtN0Gi4hNtlg9JSa5QHrcCi2Um9vmTtUQjs+hK2jz9F1TfORM3RK9McIZEsUc8lMS6hc5k8\nmkVz0PMCILQ1wxp0Q/T5oCsqQuWsqdkODQCdy4kEncuJA53LiQOdy4kDI8WaWJ5D7N+/H7/61a/w\n61//GmvWrEm4vc3mzEBUqVNaak1bbJIgACwLhmHSsj8iNdJ5LonsQucyNQS3G4d+eTkYrRZl3/4u\nuv7yJMyLl2DKFVdlOzQ6lxMIOpcTBzqXEwc6l+OPeKI9pzKB0airq8Mvf/lLbNiwAfPmzct2ODnD\nUOdQgiCITMCZzdBWVCDQ2Ym+118BAJjm0axPgiAIghhP5LwIvO+++8DzPO68804AgMViwWOPPZbl\nqAiCICYvpjnzMNDZiYDNBgCwLF+e5YgIgiAIgkiFnBeBJPgIgiByi8JTT8PAZ58AggDj3HnQlpRm\nOySCIAiCIFIg50UgQRAEkVvoystR+YPL4O9oJ4digiAIghiHkAgkCIIgUsa6+nCQRxxBEARBjE9y\nflg8QRAEQRAEQRAEkT5IBBIEQRAEQRAEQUwixsWcQIIgCIIgCIIgCCI9UCaQIAiCIAiCIAhiEkEi\nkCAIgiAIgiAIYhJBIpAgCIIgCIIgCGISQSKQIAiCIAiCIAhiEkEikCAIgiAIgiAIYhJBIpAgCIIg\nCIIgCGISQSKQIAiCIAiCIAhiEkEikCAIgiAIgiAIYhJBIpAgCIIgCIIgCGISQSKQIAiCIAiCIAhi\nEkEikCAIgiAIgiAIYhJBIpAgCIIgCIIgCGISQSKQIAiCIAiCIAhiEkEikCAIgiAIgiAIYhJBIpAg\nCIIgCIIgCGISQSKQIAiCIAiCIAhiEqHJdgBjgc3mzHYIUSksNMFu92Q7DCIN0LmcONC5nDjQuZw4\n0LmcONC5nDjQuRx/lJZaYz5HmcAMotFw2Q6BSBN0LicOdC4nDnQuJw50LicOdC4nDnQuJxYkAgmC\nSAlJFLMdAkEQBEEQBDEKSAQSxDhAcLvR+8pLCNhsWY2j7fcPovGGayB4vVmNgyCIsUMSRUiCkO0w\nCIIgiDGERCBBjANafnc3el95CT0vvZC1GCRBgHvHdgRsNjg3fZ61OAiCGDtEnkfjDdeg5Xd3U9af\nIAhiAkMikCByHL6rC3xbKwDA19CQtTgCfb3q/13btmUtDoIYj/Dd3bD9+xn0f/RBtkOJi/fAPgRs\nNvgO1cG1/ctsh0MQBEGMERPSHZQgJhKB7q7wD5KUxTi61f/7W1uyFgdBjEe6//l3ePbsBgBYli6H\nJj8/yxFFxx2KEQAcX2yEdcXKLEZDEARBjBWUCSSIHCcyAxfo681aiVakCBRcTuoZIogkkSQJ/sZG\n9Wd/c1P2gkmAZ+9e9f/Z7kEmCIIgxg4SgZMUvrMDXU//DYIzN2cqEmGCvWERCEFAcGAgK3EMzUgK\nTkdW4iCI8YYwMADBFb7W+poasxdMHCRBAN/Zof4cjFiAIgiCICYWJAJD3Hjjryp/r7EAACAASURB\nVPHkk39I+XXHHLMS9fV1YxDR2NJ8z50Y+PB92F74d7ZDIRIQGHIjFuzpyY04siRGCWK8MbR82t+U\nm5nAQI8NEARoCovA6HQQPR5yAiYIgpigkAichAT6+iC6XAAAX/2hLEdDJCLY1wcAYM1mAMPFWKYQ\nHHLmj9HIrcTBgf6sxEEQ4w1FBBpnzwGAQdm2XILvkOPSVVZCU1QEgLKBBEEQExUSgUMQBAFPPfVH\nrF9/Fs4882TcddetcLtlwfTGG6/iZz/7IX70o+/hjDNOROuQ1d3f/e5O/OAHF8OZ4yWW3n0RPR/d\nXRB5PovRyIg+H5mNxEARgYZpNQAA0ePOShxCaOFAN2Wq/DNlAgkiKZTeOuPcuQBydwGF7+oEAOgq\nq6AtKgYABHpJBBIEQUxESAQO4dln/4GPPvoAjzzyRzz33Evw+3144IF71ed3796JH//4cjz77MuY\nOrVaffzhhx/Avn178cADj8BqtWYj9KThI3q7pGAQ/tbWLEYDiIEAmu++A023/AYDH3+U1VhyDUkU\nEbDLIlAX+rwJ7myJQHlxQx8SgVQOShDJoQgpQ00twHEQPR6Ifn92g4qCkqHUVVRAUyyLwCCJQIIg\niAkJicAhvPbay/j+93+E8vIKmExm/PSnV+Cdd96EP/SFXVxcgpUrV8Nisaiv+ctfnsTrr7+MDRse\nQV5eXrZCT5qArXvQz8KAPUuRyAx8+L46B6/7mX9A9FEPioLgcACCAM5qVS3lRa8n43FIohiRCZwC\ngEQgQSRLsE/u49UUl0BTUCA/loN/P0rGUltapl5vyACKIAhiYpLzIjAQCODqq6/GRRddhPXr1+O9\n994b0+N1dXXijjtuxrp1a7Fu3VpccsmF0Gg06AqVyRSFSmQiaWpqgE6nx8aNn45pbOlCsfrXVVUB\nAIL27IrAyIHEEs/DtXNHFqPJLZT+P01RMViTCQAguDMvAkWPB5AksCYTNAWF8mOu3C57JohcQJIk\nNROoLS5R/36C/dm97kYj0BMSgSWl4EzyQqeQpfJzgiAIYmzJ+WHxr7zyCgoKCnDvvffCbrfj3HPP\nxYknnjjq/b755mvw+Xw499z1AIBgMAi9Xo/i4hJcc82NWLFilfp4e3srpkyZij17doFhmGH7uv76\nW9Dc3IgNG+7F4YcfhcLCwlHHN5bwoUygcc488O3tCPZnrz9F9HnhPVQHMAyKv3EOel9+Ea6tW5F3\n+JFZiymXUEwZtEXF4EyyMUw2egKVbABnsYIzK2KUbg4JIhGi2w3J7wdrMIQWUeRMoJDF6240pGBQ\n7j9mGGiKi8HS3zlBEMSEJudF4Lp163DqqaeqP3Mcl/A1hYUmaDTxt2NZAa+++n+48ML1sNvt+Prr\nPfje9y6GVsvg6af/jOXLF6GwsBAbNmzAm2++iXfeeQdWqwEaDYvS0sE9f2Vl+TjmmPPw7rtv4vHH\nN+D++++Pedyhr800QZcbossFVq9HycK5GPjwfWh8rqzFZd9+CBAEWObMRs1pJ6H35RfhO3QQJSWW\nqII7l8jEe8b75Rsw65RyFFUWowMAF+Qzfr4cNnlAvaGwAMVTytAGgOV9Wf88p4uJ8nsQuXcuXQ45\nu2YoL0NZWR5clWVwAdAHvTkVq6+zExBF6IqLUV5VBE1lKboAaAL+rMWZS+8PMTroXE4c6FxOHHJe\nBJpDtvgulwtXXHEFrrzyyoSvsdsTl8utXbsOmzZtxfHHnwCWZXDmmedg/vxlmD37MAwMuLF+/Xlw\nuZyYM2ce7rnnAdjtXjidPgSDImy2wWVwdrsbNpsTv/jF/+C7370AL774Oo455rhhxywttQ57babx\nNTYCADQlpfBpjAAAV4cta3HZDzQAALiKKXByJnAWK4IOB9r31kNXWpaVmJIhU+eyv6UdABAwWuEM\nyNXbvn5Hxs+Xq1U2ExINRjhCZrL+gczHIYkiBj76ALrKKpjmzU/LPnPh73KiEbDbwWg4aKyZ7ZHO\nxXPpqg8Zb1kLYLM5EdDJGbaB1k7ocihW9/5GAABXVAybzQmvIF9vvPaBrLynuXguiZFB53LiQOdy\n/BFPtOe8CASAjo4OXH755bjoootw1llnpWWfer0eN910+7DHNRoNLrvsZ7jssp8Ne+7008/C6acP\nPv6nn25V/z91ajXef/+ztMQ3VgRCzqC6svJwb0oWjWGU/kRtaSkYhoFhxgy4d+2Erz63RWCmCPbK\nzqDa4oiewCyUgwZDY0/kctBQr1AWehN7nn8O9nfeAjgO1b++DsaZszIeAxEfvrMTTbffDIZlMe2G\nm6CrqEzLfv1trfB8tQcFJ5ykzqocDyi9f5pCuQyUC5mHCTnWU6s4g2rLygGE55KKVA5KEAQxIcl5\nY5ienh5ceumluPrqq7F+/fpshzPuUfoBtWWl0BQqBgXZ601RjQhCgs8wfQYAwN/YkLWYcolIYxgu\nJAJFT+bFl9K/pMnPV8Wo6PVAEsWMxSD6vLC/959QQAI6Hn8EQQc5F+YSkiii86k/QfL7IXq9sD33\nTNr23f7ow7A99wx6X305bfvMBMr1VVl0UxdRQm67uYJyzTXUyPNIlR5k6gkkCIKYmOS8CHz88cfh\ncDjw6KOP4uKLL8bFF18Mn8+X7bDGLWrmraxcvplnGIgeDyRByE48qiV5KYDwIHJ/R0dW4sk1wsYw\nRRHiy5tR8QUAgdDAek1hERiWBWs0ApIE0Zu5cR6evV8DggB9TS0Ms2YjaLej889/ysl5a5MJ0e+H\nZ+/XkEQR9rffhO9QnfqcZ/8+SMHg6I/B8wh0yVUM9rffzNr1aiSERWAoE2iRS3NGIwIDNhv6P/4w\nLe+tgtIqoK+dDgBhYxiPG5Ikpe04BEEQRG6Q8zU1N954I2688cZshzFhUGYEakvL5Jt5kwmi2w3R\n4wGX4SH3kiRFxCOLQH2VPIOOb2/LaCy5iMjzEJxOgOPA5eWr4kv0eiH6vOpKfSYIhgbWa4qKAMil\nYqLXC8HjBmfOTBzuPXsAAJZly5F31NFouuU38OzZhcabb0DlDy6DcfacjMQRjf4P34dn316UXfBt\n9WZ/stD99N/g+PwzaEtLEeiR5+FVXXEVbM/9C4HOTvgaG2CcNXtUx/DVH1L/LwWDCHR3QVdZNap9\nZgq1HFTJBFqUDNvIRKAkSWh//BH4mxoR6OpC6XnnjzpG0ecD39EOcBz01dUAAFarA6PTQeJ5SH4/\nGINh1MchCIIgcoeczwQS6YUPzTvUlcnll9ks+RGcTkg8D9ZkUuPQlpaC0WgQ7Oud9EPjFeGlDWXf\nAIA1hrKBGe7HU2MJiUB1XEUGPzf+lmYAgHHWbGiLijH1V1dDX12NYE8P2h56QP1sZxpJEND9j7/D\ntXULWu/7XVqzJsGBfri/2pO2/aWbQI8Njs/lPuiAzQZIEorPPheWxUtgmisb93gPHhj1cXwN9YN+\n9re3j3qfmWJoJpC1jK4c1PPVHvibGgHIWdF0lJX6mpsASYJ+ylSwWp36uLLAQyWhBEEQEw8SgeOY\ngU8/waGrfoHWDfcltb3gdkMYGACj00ETGnrPmke3Kj0awoYJRepjDMdBW14BAOAneUlosG9w9g0A\n2NBqvJjhkuhgRDkokPmbQ0mSVOMKXaVsNGKonY5pN94C85KlEL1eOD7fmJFYhuJrqAdCwo/vaFdL\nnEdLoLcHjTdeh7YH/jctQmoscO/ZDQDQTa1G2UXfwbQbbkLxWWcDAPTTpgGQ35PREhwI9S2Hxsak\nY5/xkIJB2N95G86tW0Yt6oWh5aAmc7gMfwRl3e49uwb97AsJwtHgD5WCGmprBz3Omsbu+0HweGB7\n7hm4tm9L+74JgiCIxJAIHMfY33oDgtMJz57dSZm7KDdOuopKNbOk3Myn02xEEkW0brgPzXfdHjeb\nF7QrZVKDy+f0VXKZ13ha7R8LVFOY4mL1MdYoj/XIpAgUPB6IPh8YnU5dNFD7EzMkAgWnE6LHA9Zo\nBJeXrz7OcBzyjjwawPBsUabwfP3V4J/3fp3wNY7PN6L5njsR6O2JuU3/+++pPZfuIcfIFRTBa125\nCgUnnKQaOwGATlnMCfXyjQYh5E5rnDtP3ucYl4vbXvg3bM/9Cx2PP4LeF18Y8X7EAC+7gLIsuNC4\nDIbj5Iy+JI3o70fp3VNcPP3NzSOOT91nk2wKo6+ZPujxVMyoggMDKVVvtG34X9jfeQudf30qrb2N\nBEEQRHKQCMxReFs3/G2xb3QkSVJFAgD4knDTVEVgRC9N2O4/fSu9A598DM+e3fDVH4LthedjbhfO\nBBYOelyn9AWmcbVfEkW49+waVyYiSn+VtihCBKqZwMyVyqpivbAITCgTo35uMjSuQs0CVlSqMSgo\nwsPX0JAVAwt/mzwHTulJTCQCfY0N6HzyCfjqDqL/ww9ibxeR4cnVTOBQd99IdBWKCBx9ma4iAk1z\n5sr7HMNMYNDpQP+776g/9731BvwjFJ3BvvA1Tll4AwBOLQlNbUyEJAjwNzcBAPKPXQMA8Lc0jSi2\nSHwxM4FhM6p4BPv70XjDNWh78IGkjhd0OOCrlxdtRJcLnv37Ugs4zQheLxpvvhGNt/wma4tJBEEQ\nmYZEYA4i8jyab70JzbffjKAzugW+6HZD4nn1Z19j4i8upbxSVxUWgaoDXBozOo6Nn6r/d+/cHnO7\nodbpCopITedqv+OzT9C24X60bbhv3Kw6KzMdtWXhG+xslIMG7WGHUjWODI+rUGeYhYRFJJqiInD5\n+RA9btX9NpMox8w7+lgAgK++Lt7mcH0ZLn9z79oZdRtJktS+L3mfh0blCOvavg1Nt940rJRwtKju\nviUlw57j8gvA6PUQXa5R960JoeugYYYs+AOh+ZljgffgQUCSYJw3H/nHrQVEEX1vvj6ifYXdfYsH\nPR4Wgaldd/mOdkg8D21JKUwLFgAA/C0tI4pNQfB4EOjqBKPRQB9yZ1ZQKw8SiEDnlk0QfT54Dx5I\naoFqqNCK9z2RTrz19fDWHRz2uHvXTvBtreBbW9D39psZiYUgCCLbkAjMQVxfboXo80EKBuHa/mXU\nbSKzgEB4JTceSnnl4ExgestBJVFUDTwAuZdMiHEDEascVBGpfBrLQQc+k4Wp9+ABOLduTtt+xxJF\nXOhCZV9A8jdlaY1jSD8gENkTmJleUqUnUVs8XGwwDKMOJFcyU5lCkiT1mObFS8AajQj29SEQ+mxH\nIzLDx7e1qhnxSAI2G0SvF1xeHri8PEg8P+J5ngGbDe2PPAx/y/+z994BklVl+v9zQ+WuztU9nSZn\nYMg5imSRRWUEFJV1V8UsKvrFNbKCGFjXdRfWrOvqTxcUERVUUMlZBibBMHk6Tnd1d+V47/39ce45\n91bVrdDd1dPdM+/nn+mpcO+puqHOe97nfd79GP7B9+q6CFIpEyhJkk0SOrNsYN7MBLq7uiG5XNCT\niVnLhqd2vAqAZXZbL3sDIMuIPfP0tM4te59POyIInOL1IzLivb3iO8+Fx2aUAeeZRXdvHyS10DCc\nG1FpVX4f7IsZaZs8VUsmzdrKwnsuDwLdvcyJNNPfP83R146eTqP/jq/iwO23Ir6pMOi0B6GVFh/H\n7rsX/d/8xrw2ayIIgqgVCgLnIbHnnxN/x1943vE1YlJsTgT45KAS2WEWVHlMYw0AUPz1lYNmh4dh\nZLNQW9uE1Xi5H9Vi63SOu6MTUBTkwmN1kW9q8Xhh77J5Wl9VTHa+ZAKFQY11nCxDoUOTCeTGIGqT\nc/sFLinOVwi+ZgM9kYCeSkH2eqEEg5Y0tUw20DAMId3mtZ5Ota/8mvH09okAgju0TpX4ZmuCrsVi\nBZnImaAlWWsZye0u217G3ckWMLLD0w8CDcMQclAl2Ci+D744UW/4sfOvXgNXewjBU09j2cBpZIis\nxYuiIDAwPTko/x7dHZ1Q/H7IPh+MbBb6DDKt/Hz0Ll1W8pwiFp0qX+fp/ZYk1Z7BHvrOnWZt5Z1I\nvrLder0ZBDadxbLnmcGBWZdyJ7dvhWH+nozZ6jwNwyiouc2OjDgulGRHhjF+/31Ibt2CwTv/c9bO\nP4IgiEMFBYHzEHsGLL1rp6MMjMuMfGvWAIqCfDhcMWDSMxnkx8YARSlYta+3HDSzfy8AwLNkiVXb\nVzYIdJaDSqrKJo82R8gZjenAfsAwIHlYAJXcvn1eNz82DAP5yUnoiQQkj6fACEX2cmOYuagJtCay\nh7pFhBaJsDE0Nzk+75phoDRdsgdtfTclCd4VKwEAqR3ONXz58Bj0RAJKsBH+dUcBAHIO5zjPILna\nQ7YAd3qfLbWdTb759VgvN0Zx/dpqRYtx8QztDDKBeioJaBokjxey220d6yI1RL3gx5QrEloveQMA\nIPrE49ASLAOZ3r+vJnkuN/5Ri4PAabaJEBJxM8NqBcTT/y64PNIpCBQtaSooD4x8vuA+wI1qcuNh\nJG0Zs/B997LXGwbSe1jg2XD8iaz3aTwOLRqZ9meohfhL1mJIdqBffPf5iQno8TjkQACu9hCgaY5m\nRvbFWSOTxuRfH57V8RIEQcw2FATOM4x8nsmOJIk15E6nHeuc+Cqkqz0Ed6gDMAwxQXBCyIg6Owsk\nP3xFul6TeR7Aenr7rNq+Mq0e+Cq40liaRahnXSA3kQiefDKUhiDyE+MVv6u5JDt6EPu++Dns/uTH\nALB+jvYJ9lxmAu01gUIOeoiMYXjAoTS1OD4/lUApNzqKfKQ+E848l0O2hwAA/rWsN54962GHTy7d\n3d2i1YXTQkc+bDnDukwZbn4amQfDMJDcwUw3Ot52HQAg/vLL0G31xNOF96rk54ITIhM4gyCQZwFV\nM9uotrHvYyp1gXomU5OqQE+nocfjkFwusfji6emBf916GNksRn/5c+z+9Cex/5YvYPhH36+6mJQP\n82unMAicbq9Acf6Y3yvPMObC0wsC9UxGKCMCRx9d8jyv/dUqZAK5VFeM0by3xp9nKhb/UUcDioLU\nrp3QkgnkDo5ATyagNDVBbW21LRbOrhs0l71CUQBYwS8vX/D0LbZKEYZKf3eSZjuUpnOYIY9dXUIQ\nBLEQoSBwnpEbGwV0HWpbG3wrVwEA0mZ2zY4WZUYJalMTXGIyWX6ixYMpez0gUP9+b8LRsj0kJiii\nx5cNwzCEhIkHonb4xKAebSKs/nLd8K1lFvO12PjPBeF7f43sgFUf02g6AHKsFhGHsCZwgtc12Yxh\nRC3pIQoCuRy0TCaQ1yvmxivLQbOjB7H385/B7k99HLE6yCLFuMwg1Lt8BSS3m9X6OQSauVGeOQxZ\n9XIO1y2f1Lta28T3Ph35mRaNQE8kIPsD8K9dB8/SZTAy6bIy8ylt2zz2vJecE/VoE6FFCxeLRCaw\nQnsNO7nRUey68cPY+ZEPIPrs05VfG7Zq+OyLL83nXwAAiD75hFgwiz31JBKbKxvtiONdZJwz3Uwg\nD6a58yrPME43K5rcthVGNgvvsuUligzALgctf7/hGTx+HvDayeQr7B7beNoZ8K1YCeg6ktu2CSmo\nd9nygnre7CybOvFFlMbTzwDgHARy6b1TUM1/R5rOOx8Aq+2diVkTx9D1Q7aYRhAEYYeCwHmGqPno\nXATvkqUAgMy+UgtwkUULNtomk+Wlk/yH17N4ScHjYjJfryAwzIPAdrGS7jQZNjLM+EZyuyF7PCXP\ne0QWsQ5B4JD5nXZ1wb+OOeqVy9TMJVoigfjf2eQ8eMqpaLnkMjSbEw7Ooc4EGoZhk4Nak8RD2Sze\n0HVr0aOxTBBoBkrVMoGxp5+CkcsBmoaJaTo+2uHnttLExiW7XFarCIdzzHLTDFmTX4csWX7ckhHW\n+tmcEJkjM2jgbQUm/vxH6LnclLdnhy8AKKak3AkuW8wdHJn2hFmLs2OvNJiZwCnWf8Y3/Z05KWsa\nwvf+CoamlX1tLuzsdho49jghvXR3d6P1ssvZtisE00Y+z+6HkgTVzBRzpmMMo8XjLEvp8UAxa2Nd\nre3muKcXBPLWI/6jj3F8XvabQWAFYxh+bXqXLIGkqtAiEeYUupNlynyrViFgbj+xZbP1+PIVAGzH\n08EgqV7omQz7zVQUBDYcB8DKDPIg0Nu3GKqpNNCKTJi0ZAJaLAbJ7Yantw+u9hCMTAbZCm2caiG5\n41Xs/vhHsevGjyD27DMz2hZBEMRUoSBwniFWejs7LWmKg3RRBIENDZasrIzsEmDW2ID1w8vhtV1T\nmcxriQSGvv8dR+dSeyZQbWTNkfkkoWAbMTML2FDGUKLHzAT2z8z+HACyI1wK2wX/WhYEJl7aNOVt\np157DSM//fGUelql9+3F6N2/qKn3VHL7Nhj5PHxr16Hrve9H6Kq3FvQWA2w1gYfIHVRPJmFkMqwe\ny2dN9mV/qTFMLjyGXTd+uMB0oR5o0ShgGFCCwRL3Qo6QTFYLAp+zXArTe3ZP23HTGptZq9hkBaf8\nHHPKNtvdNNW2NkCSkJ+YKAlMuNTR1dZe82dzImdbVAKAxlNPhdrahsz+fTjw1dtEUDod+LGvlAlU\n/H7L3XSapj1cbqiY9xMraKjt2NmPQ250FPGXNpXfF8/AFtXwSbKMRe/+ZzRfcCH6PvUZZhYDIPHy\nprLBbW5sFDAMqG1tkF2ugueEDH8KmUDrt2GRyFJys6bpfrep3bsAAL4VKxyfr6Um0L4QopruvYnN\nLzPJZ3Mz1LZ2EWQmt25GypQn+8yej+oMzm87seefReTxRx1lv3zbrtZW0QsxvX8fa8Vittjw9PUJ\np+pi9UpuhJt0dUKSZXjMbdidsKeKns1i+IffY7/lmobhH36voqswQRBEvaEgcJ7BDRRci7rgajel\nKQ4yGcstL2hlFMpkAvVclv1YSRI8RcX/whgmmajZLCXy2COIPf0UBv/rPwoCIj2XhRaZBBQFanOz\nyAQ6BoEJHgSWSkEBc6KjqsiPjc1IKmPk82yCJElwtbXB3dmJxjPPhpHL4cDttyLyxOM1fe70vr3o\n/+bXEXnkb+i/42tIHqjN0vzg//4PJv74IPbfekvVH3i+Ml0cqNupVyZQSyYx8tMfY+i7d1XMCNnr\nAUtqE2VZZHQBIPbM09BiMYz//v6aJjORJx7D8E9+WNAywXEMEV4P6OwMCpgZbUWBnkyW/TxaMoHs\n4AAkVWV1SsCMrd7FBNgMUADAv47XBToEgTwTGApBdrlYBlHXC7IgRj7PriNJgtrcPCM5KA8cXGYN\nmez1oftDH4HS1IzM3j3Y/9Vbxb1kqtSSCQQw4zYR/P4hMoFmtiYfqX6OGbouWj40X3ARgMI+psXw\nRazilg4Aq/fsuObtbOGtuwdKczO0WEy8pxiRhbW1eOFwN9WpyEFzRfWAgGWqpTlI7qth5PPCydO7\ndLnja0SLiAo1gWIhpLFJmI5Fn3oCAOBbuRqSJMHTtxhKUxPyExPIDg5CcrmEEU21zG7yle2IPvVE\nxXteavcuDP33nRj58Q8xes8vS563t7lRW1qhNAShx+PIDg4yya6iwN3VbQWBRQsM9sVZAPCIcoXa\nMoHpvXtK7onxF55DfmwM7p5eBI49DkY+j8mH/1zT9giCIOoBBYHzDLsc1BViEqLc2GhJoMInD0pD\nYRDIV6Ujjz+G8Qf/AEPTkNi8GdA0eHr7RI0HR3a5IbndgKYJ++xq2Hss2Z0GhQlCSyskRWETHUmC\nFo+VWG7bM5lOSKoKt9m4eCY9pPKRSZZFamoSWaSOt12HhhNPgp5OY+RH38fQf/9X1cnY2K/uZpIy\nANB1DD/wx6r7zo2PF2QAY08/WfH13Ga9WLJrp141gWP33oPII39D7NlnChz8inGqBwRYDziRRTal\nYvbjFDMngeVI79mNkR//ENHHHkX/N76KvMNCAUe4UDY5S0EBlqnhQUK5oIbLqt29fcLAJbNvj+Nr\n9VwO4398wLGxtB1rAmwFqJ7FSyD7/ciPjRVk2gzDKKgJBKy+h/ZAgn8XSmMTJEVhbTEkCVokMuUe\nf8U1ZADgXbwES//1NniXr4A2OYnRu0snzbXA1QO8zUw5hCTUHIuh60i99lrFY16wn7i14AVMTQ6a\nn5yAnk5DaWxE66WXAbKMxOaXkY8575sH48VGLsVIkiSCu3K1iSJ71OkQBAamXhNoBfTWsRRByzQy\nSJmBfhi5HFydi8rehxV/deWBdb42ivOM9w3kde2SJCF48qniPb7Va8T92FXheGrJBAb+/Q4M/+B7\nGP7xD8uOIfLo38TfqVdfLR3juGW0JEkSPEvYPTby2N8Aw4CnuxuSqoqFpuJMoGXIwz5fNedrO+Hf\n/Rb7v/wl7Pn0JxB7wXIYjT7J7pHNrzsfrW94IxvP44/WtY8nQRBEJSgInGfYVxyVQACyPwAjkynI\npum5HPtRVhTIfj+UQABKkDeUnkDs+Wcx8uMfYOye/8PwD7+P6GOPALAK4ouZSn2XlkgUuKKld1tB\nDpe6qWY9TcHEvKgfVjU5KMAK9YGZSW6cnC1ljwddN3wQnf/4z5C9XsRfeB5D37mzbEYwvW8vktu2\nQvb50PuJTwEARh+rnkFMcNmZ6UZXreYjU0sQaLa50FMzywQmN28Wfxc3TrbjVA8oxsLPG3Mimzal\nZUD1wD38h98B5venp1II339f+TFEnFuJFCPkx2Um+Dzj6F2yVHzHaYd6WwAI//Y3GLv7lzjwta8g\n9Vr5QLC4JhBg571/jZkNtEkReU9ByeMV5z0PAvO2mq5iiamkqiyrbhiOJkuVsHo8FhmT+P1Y9E/v\nBRQF0aeemFYjdGEMUy0TuMgywDEMAyM//gEOfPVW7Ln5JiFTr7gf7g5qHl85EICkqtBTqaqOnznb\n5F1takbgqKMBTUPsGedrURzP5vJZZ44VwDt/d9lRc98hhyDQVhNYqwKjOBABrL6Z+cmJKbe9EbVw\nixeXfY2Qg1aqCYxZ9bq8TyaHB4EA0HrpZZA8XkiqitBbr7E+QwU5aHrPHhEUJbdvdZTe6tksYs9Z\nwVV2aBBaUdAqfgfMffFFoMmHWObN08u+A248lZ8srGO33HrZMXfXmAnMPrziywAAIABJREFUHDiA\n8G9+bQ5Ux8Gf/4w5fo+HkXxlOyRVRfDkU+Fdthzunl7o8TgSWzZX3CZBEES9oCBwHqGlUtAiEUiq\nKuRI9mwgR7dJKblEj9cFZvr7Eb7/t+K1sWeeQmLzy5BcLgTLBIG8pqcWp8fM/n2AYYjsY2b/PvEj\nbTeF4fDJcfGqf7VMIABhjMPNC6aDkAEVrexLkoSmM8/C4i/cArmhAcnt24QpSzHRJx4DADSefiZ8\na9dBaWpGPhqtWIMJWE2Y2998FaAoyPQfKJmccPKTk9CiUcg+nzjmTliZwNqCQD2XLZE25cJjBedT\nYvPLZSeQeZuMqhir5jMCLZks2GZmoHwQqKdTSJquij03fhIAEH380bKZIdEjsEImELAkmU7yY8Bq\nYu1dstQyXTqwv6QeLz85gYk/PWgOVsfYfb923J6h6yXtCzhOklCrHjAkrlt+reRs2SQniSlfxMhX\ncT8tJs8DSgdXVXdnJ4InnwIYBsbu/dWUgwhdZALL1wSy/ZhB4OAAYk8/JTIgRiaD8G9/U3U/wh3U\n/I4lSRILAtXMRET2zMzaNZ5xFgAz4+Lwefn21ArSYw5f7ConB62UCZRUlUmqdb1qI3Zre6WZQNnr\nZQ3ji3r11YJVC1c+CJTcbib7zuXKZqj44qEcCBRI2SWPB56+PvF/takZi//lc1j82S/AY6o8+Psk\nl4sF9UX3NfvCkp5IOPabTG7dAiOThmfxElbuYBjI7C3M8ItspXkP4XJwDjcMk31+SG43jEy6QG0h\nagrN9iTujg7Wn3dsrOJCRPj37Le4+fzXw7N0GbTIJCYe/jNiTz8FGAYCxx0PJRCAJEloPI39Pker\nqCgIgiDqxYIIAnVdx+c//3lcffXVeMc73oF9ZVbvFzo8qODF54AtCBy16gJFPaAti+Y1f3xjTz2B\n7EA/ZJ+PBR8mbVe8CWrQmlTamUomkE8cfGvWwL2oi9WVmFkfYQrTZgWBIlAocggVctZg+Uyg3+xb\nldy6RUxADF3H2K/vweCd366YoeEUrwAX4w51oP0f3gwAGP2/X5T0T8uNjSL6FJNxNp55FiRJEu6P\n1YJTq8ZvJbxLlgCGUTCpsSOkoH2LyzbeBuw1gdXloOk9u7H7kzdi96c+XpDt466VgWOPg+z3Q4tM\nljXZcMqkcqwAP2Lr48cmz7mR4bKTxsQWdjy9K1chcNTRrB4mlyuQdBWMgW+7SnaGn0vlgkme9fMs\nXQqloQFqWxuMbBapwcJgPvL4Y4Cmwb/uKEgeD1KvbHdc8ddipmFNQ6lhjXCh3b5dBBv2ekCOKvq8\nWYGEvcZKvI7XBU7U7gJpd1VVylz7rZddDsntRuyZpzH+h9/VvG3AkgHLFfoEAmbbDFVFcvs2DP/g\nuwCA9o1XQ3K7kdzycsFnd9yPcAe1PoNSpnarmOI6usBxx0NpakK2/4CjcQ93hVRryQRWCQK5oZfb\nIQgEbJn0Gu67hmGU1KVx1DISxmrYWyOUQ5Kkqr0CeZZQ8QdEYAwAzeecB8lUQXA83T3w9PYVPCaZ\nta9OnyG1q/B+6STP5iUJwZNOZvdZAJki106ereT3CE9vX8EiS2DDsdZYmkrPrRyXk7aw61VSVSsT\nXMaZNR+ZRPzvLwCyjJZLL0foLRsBABMP/B7jDz4AgC0scoKnngZIEhIvbTokrssEQRDOVnvzjIce\negjZbBa//OUvsWnTJtx+++2466675npYdSdlmqx4l1uSGtFrz2YK4RRA+VasxAQs98PAsceh9bLL\n4V2xElo8hobjTyy7X1GfUoNdeabfnDj0LoaeTCI7PIRM/wF4ly4VtTEFmcBgGTmo+RkqTSDdoQ64\nFi1CbngYqV074V+zFoktm8VkNTs8hCVfurVi0CR+vB2CGE7Tuedh8pG/Itt/ABN/fACtl12O8H33\nIvLYo2LyENhwrMge+VavRvz5Z5He+Rpw7nmO2zTyeRY4SBI8fb3wrliF9O7dSO18jUnSiqhFCgoA\nkssFKApb+c/lSlwH7Yz95tciOzDy4x/C95WvQfH5xHnmX7sORjaL5PZtyOzdI2pz7PAJupNRht39\nlRtTuDs7kXMxQ5/swRFhoGAn+aoZhJqOgc3nnY/ES5sQfeoJtL7hjSXHU8hBq2QCedDkJAfVkknk\nDo5AUlUxJk9PL/LhMJL7DwCrrW3za6jl4kugPvs0ok8+geSWLSWfxUkKynEt6mLGIZOTyA4OwNPT\nKxZy3LZ2AY41gQ7bFXVwUzCH0RMJQNchBwJlzxNPdw+63vM+DN75nwjf+yu42kNoNJ0vq26fG8P4\nK8tB1aYmBE87A9HHHwXA6sFaLrwY6Z07EX/xBSS2bEFzmesIsLuDWve7cgYexfBAjGcCZZcLzeed\nj/B99yL29JMIrD/K+jzpNPR0mmXpqnwmgDkgA85yUD2XYxJCSRKvK0YJNCAfDrPjVD75D4B9TiOb\nhdIQFIt2YjvNzcDwEPKTkwUZtkoYul5TEAiwXoF6PA49mQIcFhPssmBJktB1wweR3rML7W+6quS1\nZfcRbERudJQtcNoynTnz+DWedTaijz/mWBrAzckCx2wQfRuL+yZaGXs2fkmW0f3Bj2Dgm9+Af/1R\nBYoUtbkZudGDyE9OsoVOw7DJqq3fEVdbO3IHR5APj8HTXdh/FwCiTzwO6DoCx58AV0sLXC0t8K9b\nLxYf1LY2BI7ZYG2vtRX+teuQ3L4NY7+6u7RtR0nm2iFzX/JQDa9xyIgb09624fgSo9GLWDRd+GDF\nzdTrs1Z/X70/a8FDusbMylIpSKrKWmL5fFD8fiaNLj91mbfIjT7Eo4euT/GCQZLhW726qjJmvrEg\ngsAXXngBZ599NgDguOOOw5YtM3P0my+M//EBTPzpQXh6+9D9wY8gsZkV0wfWW0ECn3zbnQG5qYH9\nh8u7YmXBtvkKo3/N2qrj4DU9eqK6LElMHBYvZkHjc88K6Z9w1rNlAq0As3Blk0ugqk0gG445FhPD\nw0hsfhn+NWsx+WfLkCU7OIjktq2OQRWHy3gqBYGSLKPj2rej/+u3I/y73yLy6CMF9Sm+VavR+c7r\nxf+5kx7P3jmRHRoENA2ujk7IXh98K1di8s9/LKintMODQG+1IFCSIHu80JMJGOk0UGZynxsdRXLr\nFrZiHepAdmgQkUf+ipaLL0XyFdOifc1a5CMRJLdvQ3rfXjQcf4LDdszAxcnh0NYHkh9ntakJktvN\nTFEOHnQMAlM7WAaVW8T71x8FpakZuZERZPbtExbuHGEMU6UmkGe7nOSg/Pt19/aJrJ27uweJl19C\n8sAB+Fazc4g7iEJR4FuzBvlIhAWBO15By0UXF2zTKWPHkSQJ/rXrEHv6KSS3b2NB4FhpJlAs8jjV\nBNrloDxYdHAKzo4ehKutvaSdSL7C+Ow0HH8iQhuvwej//X8Y+dH3kd69C/nJCbg7F6H18isgu92O\n76ulRQQn9NZrIHs80GJRhK55O6ubPPpoxF98Acmtm8sGgYZhFDghc2qVgwp1gu07D2w4FuH77hXn\nIcdee1ppYYnjqtCoPW+2h3C1h8q2NREZthqyPrkil1c7ljlM7QsEmf4D0FMp1sqnStazWpsI/rvB\nJz/Bk05G8KSTax4LYFsstC3gsB6l7DMFjjqGBYGDhX1jc+Ex5MNhyH4/3D29ImOfKw4C46XqGd+K\nlVh+x7fYwpp9LEWZVS0eg5HLscm7zVhNbTd/mx0ywYauI/IYW/RoOvsc8Xj7WzZi/1e+DGgaWi6+\ntOSabbviSiRf2Y7Io38rq4xYiEzPF5iYj8y8c/PhS8NJJ6P7hg/O9TCmxIIIAuPxOBpsAY+iKMjn\n81DL/Li2tPihqorjc3NNKGT+2GUy2Hn/fdDTaSQjEez84PvYypIso+/sU+AyV73lZb0YBSDHI+K9\neTAL/IZQm3gMoSAiZ56B8BNPwruoE0vOObXkB6Yc8fYWRAF4kbO254Cey+G1oSFAktBz7FpMSnmE\nfwMYB4cQCgWxx/zhXbR6KTzmdlIdrZgE4DUKtz2qMdllS1c7Wivs03XO6Zj48x+R2bYZvtj5SG7f\nBtnrReeFr8fQ/b+H9soWhM47vez7B6Lshzy0vA/BCvtB6GTor16Owd/+DvmJcaiNjVjzyRvRuH5d\nSRZFa1yLA7KM7NAgWhvdUBya3Y9uZ5PT4LIlCIWCaDz5OAzdBWT27EZ7qx+jjz6G/T//JZo2HIMV\n7/tn7DVrWLqOPwr+SuMEsK/Bj0wygeaAAm+Z1/Y/wgwP2s44DR2vOw/bvvRlRB7+E3rOPAX58TDU\nYAN6j1+PcDqGiQf/AGPoQMmx1zIZ7JiYgKSq6FqzpETapfd2IgzAlUnCk2cTxGBXB7RMFsktm+HJ\nxEu2mY/HsWOgH5LLhb6TN4gAI3rKSRj580OQ9u9E6OTCFfC95sSwY1lP2c8LAHpPCGMA1GyqZL8D\nT7JpSPOaVeI5Y80KTDwIJPfvx2LzsYm/7wQMA8GVK9DZ3Yam009kgdFrO9De6i/4DnSd1QIFOtsc\nrxv9lBMQe/op5HftQOjat2DYbADfvmopWvh9oHEp9oJN4NvbApBkGeE0m1S39C4S23VvWIfRXwLa\nYOFxCj/zLPbe9lW0n3M21nziYwX7nxxg15ivvbXidQ0A7W97C5TYBIYfeLDApl7NprDqwx9wfM9r\nZgaoc+kix2ugkCAWfeSGwkfOPhUHf/oTpF7dXvLdcvLxBKBpUHw+dHZb2ehMTycmAbgziZLPZv//\nrkkWRCxatRiuJvO4t67HgM+H3NgoGqUsPOZkPjJiGqXU8H0BgN7sxR6wRZDi8Y/vMRUEvd1ltxVu\nbUYKQEDRq+5v+AV2H2tc0lfy2mRvF2IA3OnS660cg0/vBQC0bDiq+r4bG5ABEHQbaC56rWEYeM1c\n0OtY3FHDeeDMZKgNCQA+IyvGk4uy4EsJ+NF94jEYApAfGSoY78EtTAradNQ6dHQ2wbu8jwUc0cmC\n1+0xVS4dS7vgbrV/htLPHusKIQ7Am08jFAoiHmWLN96OUME204t7EAXgSkVLvsPI1q3IjR6Eu60N\nS887wzo3QhvQ8d27YORz8HR2li42hE6E58MfwPgzz6EEh4WJ0occFi+KX+S4vuG07RreVzKAaW6n\nhnE7r8sUb9tpO9X35bjoU/LRHL+Ayi+RZKgBZt5naBrzfUiloCWS0Gbo8E3MMyQZiy65SPy2LxQW\nRBDY0NCAhG21VNf1sgEgAExM1FZof6gJhYIYHWUrkrHnnxVF8K7ORWylV1HQcfW1mMxIgPm6tMpW\nYRNDI+K9k0NsMplVPeIxAGh9x7sh9y2Fb+VqjIVrrynIKqzOLDo0WrC9YjIHDsDI5+Hq6MR4PI9c\nkE2e4rv3YnjfCHKTk5BUFRHdBYmPHyyAio2OF2w7Ncn+jmclaBX2aYR6Ift8SO4/gJdME5HGs86G\nevTxwP2/R/iFF9FY4f3pg+y7iktepCu8DgACl78Zizp7kBsZQePpZyIXCiE8mQZQasLi7+1Bcv8B\nDL70SokjHgCEX2NBndHSbn5uF9T2duTHxrD3L09g6HvfhZHJ4OBDDyM+NILs+DiUhiDi3iYkqozT\ncLGJ1tjAGDyycyZ1+BHWC8294UTkelfA07cYmQP78fJN/4+N/9jjMRZOINfKMgvRHTtx8GC04MeQ\nZ3jVtnaMjZdeU0mJjSN+MIyswoK5rNsPqOx8mtw3AFfRZ+H1iJ6+PoQjGQAskJKWrQTwEEaffxGe\ncy6wPquuI2tmAiOagliF7yZljicxGi45j8d3sOOht3WI5zLm+Zvcf0A8NvYCk5OpS5azx2SfOG79\nm7YXZGon+5lULe/xO143Wi87LyJbtuLg8CQS+1g9bcrfgrzt9UqwEVosiqGd/XC1tCA5yhZTkpJb\nbFdrDAGShPievRgZHIfscsEwDOz78U/ZuB99DJ4TThESWwCI7meBr+5rqHhdc4JveivQ3WfW+BqY\n+OODGHviSTRtfFvpAkA2CyOXg6SqCEcykKSs80YrIfvh6uxEbmQEB559qcBJksNb5sgNhZ8h42bn\nfXTwYMHj9nusnmaTLcnlwkRGEvckAPCsWInkls0YeHYTM8cBEN3LskhGIFjT9wVYx25490BBpnri\ntb1sW+L6LyWvsmtmcmhM3O/LMb6TbU9vbivZXtbPMsaR/YMlz00+8ldM/uVh6Jk0fCtWov0tb4Wr\ntRUjTzMTLGnx8qqfVTPHOT4URq678LV6JgMjn4ekqhiPZgFM4zwAkHezDNvk4CgUczz+OLsOlKYW\nROGB5HYjNzGJ4T1DQgUz8gJTzyhLV2J0NIacwraTGrF+ywxdR840F5rMoOA8cCLnZhnNSP8w3KMx\nxHexxQGpsbngu8p62WTP6Xsfe5IFcf4TTnK4d7oBxY3YmHP5hbzhZLRvmFomdb5jvy6JhQ0dy/Lk\ngXn53VRa6FsQxjAnnHACHn2USSs2bdqE1atXz/GIZg6vC2h/y1ux7NbbseLbd2Hlt/4TzedfUPA6\n3q/KLjkq7pvFkVQVLRdcVCKnqwYvkK/Wt8uqIWGF/Wp7O+SGBmixKOIv/h0A4O7pLchACtOZeJEc\nlJtK+Av7FhYjqSra3nil+L8cCKDl4svgXboMss+H3MGRgl5sBfvIZtl3pSgFJgBl9yXLaDz1dLRd\ncWVFh04ACCxnjY7TZdpXiH6PposqAPhXMfnj4H9+C0YmIxqc8z59vjVrapKhVWsYnxsPI7N/HySP\nF/6jjoIkSWi9/AoAEGYt3CVRbWuHHAhAi8VK6s14PY67o8NxP7xGT4tGoNlcFZ3MTjg8sCw2h/Cv\nZUYqqZ2vFdjAa9EoywQFg5BdzrJETiU5aHaIiVg8XVbtjrurC5AkpAeHxPfC5bp2ebV/NZNUp0wZ\nLcfez88JV2sbXJ2d0FMpJLZugRaLQvJ4SqTJvIY2b8rKuIzTvl3F52Mum5qGbD8LJtM7dyJrk8fx\n3mzW+MrXLDohyTIaTz8ToY1XI7TxGrg6F0FPpQrawHB4PaDs99d0zpaDS7kTZXpVOklBAcsMpVKT\n9Jytjqt4jMId1vwuAXs7jco9AgvGYdZq5opcW7OmbLecKQxgyWi1GlyZRW2jw/Ysg5LC6y367NM4\n+NOfIDvQj/zYGGLPPI2Bb34D6b17kNyyGZLLhYZjj6+6by7Zd5KD1moOVHUfQg5qC/R5W4aWFkiy\nDLd57dpdmYW03Ly3qk3NgCxDi0xCzzHFjJ5IAIbBztUKi8ecYpOacg7T4rodL73P8V6FtZRjEARB\nzBULIgi88MIL4Xa7cc011+ArX/kKbr755rke0ozhP2Qes0eT4vNB9pYGRHIgAMnthp5KiR9cyx20\ncpPmWlGbKlvrc4qNBCRJEqv3k395qOA5jr0flh3uNMfrTSrRfMGFCF3zNgSOPQ7d7/8QXC0tkBRF\nODAmtm11fJ+oBzQnEfXEbwbCuWHnaofsMDu+9ibdLRddLPQist+PpbfcipYLrTqzhhNPqmnfvE1E\nuXYTCbMHoH/9ehE4BU88iS0wyDKaL7xYOJxKkgTvUjOgLbJV506wLod6QMBeEzgpzEzU5ma4Wsu7\n5mXNINDdXWhgoTY2QmluhpHNFrZL4MewSj0gG4+5mFFkDGMYhrje3LYgUPZ44Gpvh6FpyI6MwNA0\npEz3Vt9KKwj0mRO55I7CILC4n58TPLid/MvDYv/FAYkIms3JZLmWGHwck3/7KwAgYvb/5M7Axc6J\nYjtVagLLwbOKiW2lAZpWVAc2XfxHsX0kywWBcWd30+KaQMMwEH95E+I7LTfJSu1N+CKEPQjkdWRO\nTrjlEIY9RbWJoj1EmQUUwKqXrqW1g+UMuqjkOae6UgCImOdJ6+VXYMkXboG7uxvZoUHs//KXAADB\nU0+v6M7MsWoCS9UAwhyohvt4JRSHHp9ZEQSabRlM85XMEMvY5icnkRsZhuTxiF6HkqJY54bZ41QY\nC5VxyC2m2HQoX8ZcTHUwdQLY4mN6z27A5iRNEAQxH1kQclBZlnHLLbfM9TDqivhRX1T6o25HkiS4\nWtuQHR5CfmIcit9f4nQ2U8RkPhqp+Do+YbIHer5Vq5HY9KLVg62o8XA5G3TLVrz65EGSZbRccBFa\nLrio4HH/+qMQ//sLSG5zdhes1h5iJni7WYaPB3t2mJ27mUWzZQI9fYsR2ng10nv3oOWSy6A2NaPt\niishe71wd3UjWGsQaGYCjTKZwMQWJmkMHL2h4PGOt12H0FuvKVkN9y5ZiuTWLcjs2yvGYOg6Iqab\nY3FPLY7a3AwoCrRIRIjA1JYWSG4myyyelAJWE3lPb6mLoaerB8nJSWQHBuAOscmz6Nvm4FxajD2b\nYOi6CPy1aAR6MgHZ7y/Jirm7e5AbHUV2cACGloeRycAVChX0ifOZyoP0rp0wDEMEcSLwrdBTzr9u\nHSKP/BVJ85jYM5Ecu0OonsmUdahsufhSRB57BNEnH4ekqog+8xQgSeh8x/XY9+UvInNgP/R0Siwm\n5Wvsr1gO36pVmHz4z0jv2VPynMgEzjAD5F+zFlAUpPfshpZIlDhf5qNlMoHCDIU1SQ//9jcYv/8+\nDLvdWPy5L8Ld1V2xvYnbdNEsyAQWNQSvhXKNzrMHzft7R/n7OzfkqpYJNDTNai/isCAjzMMmxsV5\nn49FWQsbRUHLRZdA8fvR/YEPY98tX2Auo42NaH/Tm2v6jGLRyaFhvF6vTGBDaXuXzJiVCQTYtRMD\nRPabt+jxrVxVcE9TW1qQHw8jPzEOd0dHWeVM2bEUGcNY51FhJlDc/6JR6NmsqG9OvbYDRj4Pz+Il\nJeczQRDEfGJBZAIPN0RTeLfbcZW6GEtex34URYuIemUCqzTZBlhgky6SgwIoqEECAM/Swvo4/iNo\nX+028nkY2Swgy5CmaSQAAH7TRTW5fVuBhJCTc7D1rhc+c1WaB3t28pOTMDJpyA0NJceo5aJL0PXe\n94vaMtntRtvlV9QcAAIQk3ynwnIjn0dyG5MaB445puR5JzmUh2cCzUDe0HX0f+OryI+PQ21pKTnG\nYluyLCRRIuvU1mZNjmLRgr6LLCPHJnBuB9dQdw+Xe1kSx9wEDwKrH0PZ5WITVk0Tk1O2PSsLWJyF\n4+PIDA6ITJq3qDbN1R6C0hBkkll7Pz+Hpu7F+NesK3AL8K5cWfIaeyZH9PVrbCwda0cHs903DEQe\n+SugaWg84yx4+vrYwoxhIL3fkidrU5SDFsNrXdN7d5dYtmuJ2tpDVEP2epmawDAQe6HUDMPq79ZY\n8j7eJD03MoKJB34PgGVhxn7zawAsKAKcr393ZyckVWXfuXmu5MpM9ithD0Y5ei7LAgfb9eFErf1Z\nc2NjgKZBbW1zdGqV3W52DmqaGEdi04uAYcC/br04Ru5FXVjyxS+j4x3vQt+nbq64eFGwfTMIdJSD\n1uk8EL9BNjloNmwpOQDrWuX3h+QOJrkszraJwNxcQLJ6ZdYWBKrN5qLoJLt+yv2OSLJslWvY7gs8\nq11u8YwgCGK+QEHgISL8+/vx6tf/DUPfuRND32E9Du1N4SvBf3y4LKW48e1M4auwWjzmGEwBLLDR\n43HI/kDBhNzT04vg6WcAAIInnwLvsmWF23boQcgnE7LPN6N6IndHB1ztIejJpMhEFox5Yuo1PrXi\n7VoESBJyY6MlTdFzQgra5fTWGSNqAh0mZamdr8HIpOHu7ql5Msvro9J798AwDESfeAypHa9C9vnQ\nef0/VTxHXSFL7qY0NUN2udnkqKXwnAXMjFwqBdkfcDx33V1WQMaxJH3VM4GAldUukJXxwLOr9Hjw\njGRm7x6kd7J6QF9RuxVJksR5bc+K5W11kGXHEwzCb+tFFzyhNNhXbTVdTvWAdlovvQyd7/pHuLt7\n0HDiSQhtvLrgc2Ttma0ZykHV1jYowUbo8XhJ3W29MkAA0HQWa/8z9ut7ShZVeBZHdThfXKY0cuze\ne2Dk8+J6S27byoJD3pLDoU+fpCjifOD1u0L21zYNOagtCMyNjrH2EG1tFWvQuJS2mhxUnL8OUlAO\n/+z8tbxGu7g/rLujA83nvm5K96ZKNYFWbfdMawJLFyK5HJTfS0RNIM8E8iDQbDXDcYmemmYQGCt/\nDjkh+/yQ3G4YmTT0dKpsJhCw6gLtEnZe31qpdRFBEMR8gILAQ4CeySD8299g7PEnEHvuWSEN45Pv\naljmMOOsb5bIBNYnCJRUFXJDA2DryVVM5gBvZr64JHDrvO5d6HrfB9D57n8ueU72+wFJgp5MigBT\nm4IUtBp8gu1UF1hJDjZTFG7woWklNSGWKUxlqe90ESvzDnLQxEubAJRmaCuhtrZCCQahJxLI9h/A\n2G/uBQB0XPeuqhMZexBoz3oUZ6+Bwu/FKfjnPQXtZif5idrloICVUSiQlQ3yILBUismNG5KvviLM\nmpxcKkVWbA8zSdHTKSbbdLmqBkId114HORBA4xlnOga/9olkLRLOprPPxdJbbkX3+z8kMs1WjVu/\neN1UjWGKkSQJniUsY81rOTl8UacejXGDp50B/9EboMfjzDSpwBiovJSPS8/jLzCny7Z/eBN8vT3Q\nUymkdu+yJJRlmrW7OlkglBsZgpZKQU8yJ9Gp3FeLs06AZahUrpaWU04qX0zWXBRx95Rmzzn8ucxA\nP/R0CsltWwFJQsNx1Y1fqlGpJlAYw8zwXi5qx20LkXZjGID1epTcbuQnxpEdHkJ2oB+Sqpa4M1uB\n+bjYJttHbcdVkiSxsJMLj7NjK0mO9yBrAYeNNTcxwcbl8TjeRwiCIOYTFAQeAmSPB4v/5fNY/Ykb\nsei9N2DRe29A1w0fROjqa2t6P88E5sJhtvKq6yyLVoPTWa1Uk4SmdzHDBe+S0mbmsseD4MmnOLo3\nSrJsTSLMCYM+BVOYavjXM+ONpEMQmKtgDFEPxOp7UV1gdsTMBHbOciawKAg0dB2x55mkruGEE0ve\nVw5JkuBbsw4AsO9Ln4cWmYRn6TJhnV8Jd5kg0OXgEFrJ3AKwjB8sS9RpAAAgAElEQVSyQ4NiIiiy\nMzUeQ6em01YmsDQIVJtbEFi+DEY2Cy0WhewPOEpVPaZ8l5vliOC0hsbi7kWLsOKOb6HzH//Z8fkC\nOWgNElMnio1OjHweejwOSNKMZOPcGbY4E1gvV0iAnX/dN7wfans7skODiG960dpPBdWDp8+6F8mB\nAALHHY/m444FwCTiuVHm0GlfqLDDF2myQ0MFzqBTUScUm5AA9vO8chBo3XOr1WKXr6PleEyjpezA\nABIvvwwjn4dv5app14PaqSQHFcYwgZndy1kNbAAwDJEZFXJQ8zuWZFksnI7/8QEAzBSpuI9riRx0\nGsoZLvNN7XoNMAx2nTv83or7nHl9CCnomrV1/X0mCIKYDSgIPER4Fy9B6Jyz0HjKaWg85TQETzq5\n5kyYyAROjFsSxxrrOWqFb6/Y5Y5jSW+mbnlt1b6w7IGQg9YjE7h2PbP537UTeiZT8Fw5V7d6wSd5\nfNLHETVos5UJ9DpPytK7drFG962twjGyVhrPOMP6jySh45q31SRV9tjakdjPSb5CbjeH4U6qrjLf\nixIIQGliDqH8fcJqv4LLYsE2uBzULivjTrwOQSAAhM47R/zdesmljp+bmyFlDuyHYRjCObDWDKWk\nqmWDC9nrgxwIwMjlRBA31cm7hxudDPTD0HVb+4rGGTnj8gAqawZUHL1OtWAc2etDywXMKTfy6CPi\ncS7pVFtLa+s8NhOqprPOgexyofEoa1FIi0QARSl7jIQcdGQY+QnuDDo16bir1XIH5XWTOfOcdVUw\nhQFMCaQkMSOjIkm5nUwZR1079kxg/EXWQL3h+BNq/BSV4Yt1TsYw3NSmHhlhpdE0h4lFWd18MgnJ\n7S5YaOCtW6KPMdOqYikoUCrRLddmpOJYzHsZbwtTTj7LF7REnaLppOufghKDIAhirqAgcAFgWVGP\nCtkJl9vVfx+lPY/0TIZZ50sSfKumLnERsidTxsonDnyFeSYoDQ3wLFkKI59H6rVXC57jAfNUJ3a1\nwmuScrYg0DAMZExzjuJeePWCr7oX1xLFnnsGABA86ZQpT/wDRx0D74qVkFwutL7hjTVLmfyr16Dl\nkssAWS4wQnDMBPJayQq1TR5uAz84AD2TYX3gFKXmuk4ePPEgTUsmoEUmmQlTmWum+4o3ouNt16H5\nggvRfOFFjq9RW1sh+wPQ4jHkJycLMoH1gAdbPKM91ey1EgyyADqTQS48JoLg6dYDFo8rVxQEimu4\nDpN/TvBk1iA7teMV6LmsWdc3BkiSY99O79JlCJ5yGloufQPa3/QWAEDjOrZIxfs9utpDZa8FnqnP\nDg8jx7NOU6gHBMwA3uuFkc2K69GSg1ZeuJAURQQm5Xq06rksu24kCZ4KclBPbx+gKMjs24vYc88y\nKegU1ACVqFgTmKhPTSBguV1r0WiBDNy+eOJbUbi4xdsEFWyH92407/9TbREBWOYwyVe3AwDcXc73\nLG6SljlwAIaui7IEqgckCGIhQHqFBYCrrQ1QFOTHx8VE2lXnINCpwJ2T3L4N0DR4li6b1opvsQse\nnzjUyz47sP4oZPbuQfzvL4i2CFoqBT2VKllJrieWHNQKAvMTE0JWqFZwBpwJTi09DE1DzKyNqkXG\nWYykKFh882enNZ7QVW9lrS5szoUuh0yg1TajgsFFdw+S27chOzgozvFKE/lirB5fbBJpZWW7ym5D\nkiTWQ7ECkiTB09eH1KuvIHNgv611RX0y8u6uLmT27hHB1nRMhTy9vUhGJk1zGDZxVmaoGLCCQGdj\nmHpa4KtNzfD0LUbmwH6kduxgtbyGAVcoVCL5A9g52/XeGwoec7e0wBXqsL7HCpJM9yL2XG5k2DKR\nmcaCkdrSiuzQIPKTE1AaGqzzvIocFGCLCFo0Ci0y6Vi7nNm3D9A0uLt7IFdwUlb8fgQ2HIuEaQgT\nOPa4srWQU8WSgzpkAlP1qQkE7L0CrbrA4sUQ7gjNx+WYCWxqZhnWSASGpk0rE6g2sUCSy7NdZa5H\nV+ciVqc4HkZy+zbo8TjU9vaq9aAEQRDzAcoELgAkRREr4dy8ot6OlyIIdMgECqe5aZoM8JokvlIu\nTCXqNIEMnnY6ACD23LNCEmpvFD0TB9JKCDno0JCQgmX2MwMd75Ils7ZfLrvkExQAiL+0iU0kOztF\ny4dDSbF1vYt/N+aihXBrlKSKEyRRFzg4IKSg5Wq6nLD6tvEgsLwz6FSxS0Jzdc4EFktVpxcEWuYw\nIqgJzWwhwrovjBYatnA5aJ0XWHg2Obl1iwimpjqhDp56qvi7oULrFdnrg9LcbKoIWM+56dxX7XWB\nei7LFAiyLBZCKr63KHNdTMrMaHpXVJd3N593PgCW8Wq/srYegLUg+yvUBNZRFiwcQmNRq+yhuXAR\nQ/Z40PPxm6C2t2PRe97neI+VVJUFlIaBfCQyZWMYp/2Wux4lWRY1xGO/uhsAEDhmw6zd+wmCIOoJ\nBYELBGF/bhae1z0T2MaCzHyBkccIDv7i54g+9QSAUrvxWinOBFoTyPr0OfR098C7fDn0VArh+5iz\nZc5s1uwkI6sXamsbkwjGoqL+MPUqqyHhRiKzst8mKxPIg8/II38FADS/7vXzYgKitrRC8nihxWLQ\n4nEWlGgak1U69DrjcIfQzNAgcjyj0lH7MeRBIJeCVTKFmSqW9Gu/kPxNpbF4JexmNLLPN2VjGMDW\n7qL/gMjo1xKIVEL2eFgmXdMK27wk6i8HBSxX28TWLTXJh51oOvd8QJIg+3wInlQ5K87vq2mzR+R0\n7quWcdcYy5gaBste12AMUtyYvBgua/WtqC7PDhx1NJbd/nUs++o36ipFl11uSKrKzIZy2YLntDpm\nhIU0NhazyUFLs6OB9Udh+e3fQMOG48puywrMxy037SlkAotbHVVy8uYtZfgCYNOZZ9e8H4IgiLmE\ngsAFgpgImZP+ek0+OaptxV/PZDD84x9i72f/HyYf+hOg62g865yKNSmVkIt6BfJ/6ynTDF3zdkCW\nMfGnB5mc0NYgfLaQZFkYsKR27YSeyyHCA+YpNH+fKrLXC8njYXVI6TT0XFYEn42nnj5r+50KkiRZ\nxhtDg7b2EJUzXFYvsAGk97J2DDwDVwt2UwjDMES7ifoEgTwTeECYdXBDlpliH5+7q2tagXxhJtAM\nAusgCeSLDvbMs1YnV8hifCtXQfJ4kB3oR+yZpwBMfUHF1dKCxZ/7Ivpu/lxFCSVQej5OJxNoGUSN\niIWLavWAYn9cvhwpdQg1DENkAn0rV5Y874SrPVRxkWW6FDs8c+rVJxCw+vhp0YhVz12j8VLJtsz3\nZfYzOa3sDzhKisvhsi08SC5XxSC38cyzxN/e5cvhqbH1E0EQxFxDQeACoWASK0lTXh2vhtrUJDI3\n/f/2dUQffxSQZTSefiYW/dN70XndO6e9bf4DqnN30FmQkvmWr0Db5VcAAA7+4ufI1FEGWHG/5uQs\nvXMnIn/9C/R4HJ6+xSW9q+oNN/zQIhGkd+1izbJ7+6a02j3b8O8+MzRYU8NrgEmHlaYmGNms6P/m\nXVHbBBhgWTTJ44GRyUBPJYXbZj0yI+6ubkBRkBsZhjbJzGbqlWl2dXSg4aRTIAcCCJ4yvUDetaiL\nje/gCLIDrLdcPYJAqwaVmZcYhlHXyb8dSVVFNpC345hKz0uOd/ESYTJUCXsQqDQ31xy82REGUcND\nyB7k2evaJKwiCDSDHjv58Bi0SARyIFAQlMwF5SShlkFQHeSgNlltpUxgLfAgMGkujk31uEqShNbL\nLgfA+nxWwrt4CRqOPxGuRYvQ9b4PzAslBkEQRC2QMcwCoeG44zFi/u3q6KhL/yc7kizDv2YNEi+/\nhPSunZBcLiz+l8/XZfKsiEzg7MhBOa2XXY7Jv/0F2YF+0dy6XFuAeuFfuw5hAJN/eQhQFABA25Vv\nnvWJgNLUhNzoQeQjk2Ki41879fYds4mnqxsxANn+A8KcgUsqK76vbwmSkZcBsMnlVOrjJLOpc254\nGJn9+5GfmIDk8dYlWJNdLviWrxD1Y+7unhm1X7DDeuV9YEbbkF0uuBd1ITvQb/XIq4M5UXE/OyPL\nnDslVZ2VrFPT2eeIBQDP4iUl9Vn1pOG44zD6i58BYAtJ07lu7QZRinlfLtcGpRhhvDMyUvKcyAKu\nWDnngYXVJsIKAo18HkYmA8iy6F06E9zmNZobHRVS2lpbsBTjMoNH0eKhBpOeYtquuBKB446vaUGv\n+4MfhmEYc36cCIIgpgJlAhcISkMDms9/PQAIO/R6Y7f4bzrv/LrVlchlagLr7dopqSqazn1dwWPT\nMdiYCt4VKy25mqYhsOFYNBxbvlalXoi6wMgk0rt3AQB8K1fP+n6nAp88pXbvRpq3zahB2md3N/Wv\nWTflQMvVzibWseeeZfvs7a1bsGavi61UJzRX2OWpSjBYl2tMZAJNyaLVKL6+izgc//qj0XDSyfCt\nWo3QW6+ZlX1wXO0htL7hjYAkofkC5/YgVbfR0QFIEnJjo0iZtYW1nhuiYX1Rr1HA6s06lUz4bKE4\nOISK88Dvr0vwo5pZ69zYKHK8x+sM5aDcFGY6bp2Sqk5pYYACQIIgFhoUBC4gQm+9Fku++K9VzQ6m\nS8MJJ0EJNqLhpJPrGmhactBEwb/1zgQCQPO554m/vcuWz7o8UpIkdLz9HVDb26E0NSN07dtndX8c\nbviRHRxAeg+rnfMun10J6lTxLlsOSBJrfTAyDChKgQFKOYInngjZH4Dk8aJ949VT36/ZRDzyGGs6\nPpWawmo0nHSSkIG2mvLj+YR/vdU3LXDs8fWZnDda/dsAQJ+lekCOJMvovuGD6Pv0Z+Bfu25W9mGn\n7co3Y8V/3Am/Q7uBWpBdLhYIGgZyw+w8r/WcU1taIbndrE2Erd7OMAwktmwGwIxQ5hqnNhGiTUid\nJMGKzwelIQgjl4OeSJh9FKdukAQA7qJa3VrluQRBEEcSJAddQEiqOmsNyAFWhL/8375V9xVN3iKC\nSwLr3SLCjtrcgqZzz0P0qSfR8fbp1zFOBd+KlVh++zcOyb443pWrgD89iMjjj0FPJqE0NU+7fma2\nkL1eeHr7kDlgZgF7emsyZ5C9Piz+3BcAAO4ptIfgiGyj2dLAt7p+GVJXaxuW3vpVKH5/VdORuSB4\n6ukY+fEP2d8nnVyXbSpNhX0ptVlyBp0rJEkSma7p4l+7HhFT0unp6a1ZJivJMlwdncj2H0BuZBiK\nmT3PDg4iHw5DCQbnhdEIr/nTbXLQetYDclyhkMjeeRd1TjuD7+ntE46mwOzXhhMEQSxEKBNIFDAb\nkhZ7SwM9l4WRzQKKAmmWJtEdb38nVnzz2/AuXTor258P+FYxy3jN7C/mWzn3dUNO8B6OANB0zrk1\nv88d6phWAAgAniU2yakkTctYpBKulpZ5GQACLCu15Au3oPP6fyqQd88EYULEM4F17A13uBDYcKz1\n9xTl4FwSyk2MACB8/31sW8cdXzcp80wQNYEFmcD6nwf22t3guulngSVZFmMGZrdlD0EQxEJl7n9d\nqhCLxXDDDTfguuuuw9VXX40XX3xxrodETBHZ6xMtDXKjzLpeCQRmLWiRZHneTtLrhRpsLJCcNZ52\nxhyOpjwtr78Q3pWr4O7pReMZZ1V/Qx1wtYfEdxM4+pi6ydUWCp6+xWg66+y6XV9KkTGMyADNQiZ/\noeJftx6exUsQ2HAs2t7wxqm915Shcvln6rUdiD//LCS3G21v/Ie6j3U68ECPLwAA9prA+p0HgWM2\niL8b183M6Krj2rdDDgTQ8/Gb5kUgTRAEMd+Y93LQH/3oRzjttNNw/fXXY/fu3fjEJz6Be++9d66H\nRUwRtakZuYMjyOzfa/6/vu6mRyId77ge/d+4HWpLS0EmYj4hqSr6Pv2ZQ5qllCQJi//l80jv2zvr\nxkBHApYJkRkE8ubbs2QMsxCR3W4s+fyXpvXewIZjgZ//LxIvv4RceAwjP/spAKDl4kvhmkbfwtmA\nLwTkY1HxmJ7gNYH1ywQGTzkNY/fdC21yEk0bjkZsRts6FcFTTq3b2AiCIA435n0QeP3118Nt1ldo\nmgbPYZ7hOVxRm5pYELhvHwBAaZqe6xth4Vu+HEtv/SpklwuS2Z5iPjIXMlVJVeGbB66KhwNKg9nE\nOxaDoetCFsoNY4iZ4WoPwbt8OdK7d2PPpz/JHgt1oPWSy+Z4ZBb2vqSc2agJlBQFi//l89BicXg7\nOhAbnUkYSBAEQVRiXgWBd999N37yk58UPHbbbbdhw4YNGB0dxU033YTPfOYzVbfT0uKHqs7PSXEo\nNH+aeR9Kwh3tSL22A9oQ69/XsKh9wX8X82L882EMhwHz4ljOY/Y0NiIfjaLZY2Ayy8xBmns65+X3\nNh/HVI2mz30Gr97xTUS3bIWrpRnrb74JDb0z7/FYL7xLujAIQEolxPcbN3IAgMaO1vp+57ZtLcRj\nSThDx/LwgY7l4cO8CgI3btyIjRs3ljz+6quv4uMf/zg+9alP4ZRTqrdHmJhIVn3NXBAKBTF6hK5s\naj5WNxLfyXra5T2BBf1dHMnH8nCDjmV15IYgEI3i4O5BJA6yut6k5Jp339vCPZYqOj/6SbT0H4Cr\noxMpjwepefQ5chqbKqTD4+L7jYeZKVXKUGflO1+4x5Ioho7l4QMdy4VHpaB9XgWBTuzcuRMf/ehH\n8e///u9Yu3ZmheLE3KE2NQMA9HSa/b+5eS6HQxDEFFAaG4HBAeSjEZsclOp664kkSXXtaVlPFFuv\nSMMwIEmSrU8gucQSBEEsROZ9EHjHHXcgm83i1ltvBQA0NDTgrrvumuNREVNFbSs0OFCaKAgkiIUC\nN4fRohHkzSBQoZrAIwbZ44Hs9UJPp1lf0kDA1i+SgkCCIIiFyLwPAingOzzwFjU8JndQglg4KGbW\nLz8ZgWY6RCpBCgKPJJSmJujpNLRoBEogYGUCqVUIQRDEgoSa5xCHBFdR4+/i/xMEMX/hizaZgQOA\nrkP2+yG7XHM8KuJQwuW/vFWIPgt9AgmCIIhDBwWBxCFBkmXAbGOgtrWRvTxBLCBcHZ0AgNSOHQBI\nCnokora0AgDy4+MAAC1h9oskOShBEMSChIJA4pDR9U/vhbu7Gz0fuXGuh0IQxBRwL1oEAMiPh9n/\nzaCQOHJQW1kQmAuPQc9loadSgKJQTSBBEMQCZd7XBBKHD8FTTkXwlFPnehgEQUwRV6gDkCTAMAAA\nnt6+OR4RcahxtbG+hbnxcIFDrCTTWjJBEMRChO7eBEEQREVklwuudqt5ubundw5HQ8wF3OE5Hw6L\nukCFDL4IgiAWLBQEEgRBEFXx9C62/U1B4JGGywwCc+EwNDMIpNpugiCIhQvJQQmCIIiqtF/1VuTG\nDsLQDbg7F831cIhDDA8C8+Nh5KNmJrCRMoEEQRALFQoCCYIgiKq4Ozux+PO3AIZBdWBHILLXByUY\nhBaLIb13DwDq90oQBLGQoV9ygiAIoiYkSaIA8AjG3dUNAEi9sh0A1QQSBEEsZOjXnCAIgiCIqri7\newAAudFRAFYDeYIgCGLhQUEgQRAEQRBVcXd3F/zfs2TJHI2EIAiCmCkUBBIEQRAEURWPmQkEADkQ\ngKs9NIejIQiCIGYCBYEEQRAEQVTFt3IVIEkAAO+y5ZDMvwmCIIiFBwWBBEEQBEFURVJVLL3lVjSc\ndDJCb9k418MhCIIgZgC1iCAIgiAIoibcXd3ovuGDcz0MgiAIYoZQJpAgCIIgCIIgCOIIgoJAgiAI\ngiAIgiCIIwjJMAxjrgdBEARBEARBEARBHBooE0gQBEEQBEEQBHEEQUEgQRAEQRAEQRDEEQQFgQRB\nEARBEARBEEcQFAQSBEEQBEEQBEEcQVAQSBAEQRAEQRAEcQRBQSBBEARBEARBEMQRBAWBBEEQBEEQ\nBEEQRxAUBBIEQRAEQRAEQRxBUBBIEARBEARBEARxBEFBIEEQBEEQBEEQxBEEBYEEQRAEQRAEQRBH\nEBQEEgRBEARBEARBHEFQEEgQBEEQBEEQBHEEQUEgQRAEQRAEQRDEEQQFgQRBEARBEARBEEcQFAQS\nBEEQBEEQBEEcQahzPYBaufLKKxEMBgEAvb29+MpXvlL2taOjsUM1rCnR0uLHxERyrodB1AE6locP\ndCwPH+hYHj7QsTx8oGN5+EDHcuERCgXLPrcggsBMJgMA+OlPfzrHI5kZqqrM9RCIOkHH8vCBjuXh\nAx3Lwwc6locPdCwPH+hYHl4sCDnoK6+8glQqhXe/+9145zvfiU2bNs31kAiCIAiCIAiCIBYkkmEY\nxlwPohqvvvoqXnrpJWzcuBF79+7Fe97zHjz44INQVedEZj6v0WrFPCeydRsGfnUvlt/wHng7OuZ6\nOARBTIGJF/6Ood//ASs++H542trmejjEHJBPpvDSJ26Cp70dqz/+UbhbWuZ6SARBEMQUWBBBYDab\nha7r8Hq9AICrrroK3/72t9HV1eX4+vlaExgKBeft2A4lei6Lne9/LwCg+fzXo+Nt75jjEU0dOpaH\nD3Qsp85r738PjFwOvtVr0Pepm+d6OAI6loeO5KuvoP/rtwMAmi+4EB3XvL2u26djefhAx/LwgY7l\nwqNSTeCCkIPec889uP129mMzMjKCeDyOUCg0x6Mipkvi5ZfF39mRkTkcCUEQ08HI5QAAqR2vQjf/\nJo4scmOj1t8HD87hSAiCIIjpsCCCwKuuugqxWAzXXnstbrzxRtx2221lpaDE/Cc/HhZ/Z/btwwJI\nRhMEYaLnsoAkif/nRkcrvJo4XLEf9/zExByOhCAIgpgOCyKScrvduOOOO+Z6GESdyEci4m8tHkM+\nPAZXO2V2CWIhkDs4CtgWbvIT4/B0d8/hiIi5wJ4JzE9SEEgQBLHQWBCZQOLwQotGCv6fGxubo5EQ\nBDFVssNDBf/PT4zP0UiIucSeCdRiMZIFEwRBLDAoCDT57Gc/hR/84DtzPYwjAp4JlNxu9v+ioJAg\niPlLPhwu/D9JAY9IihfvtMjkHI2EIAiCmA4UBBKHHJ4J9PQtZv+fpCCQIBYKWiIOAFCamgAAufFw\npZcThyGGrkOLRQEAnsVLAAD5CQoCCYIgFhIUBBaRTCZxxx1fxRVXXIwrrrgYt9/+r4jH2aTnBz/4\nDj772U+J1+7evRNnnXUSAODvf38e73rXNfj2t/8Nl156Pt70psvws5/9pOC11113HS688Bxs3PgP\n+NOfHhDP3XvvPbjmmjfhsstej5tv/iTC4cNbHskzgWLyQCvI8x4jnycDHwIAoJn3Q76IM9uZwHw0\nWlBHTMw9eioF6Dpknw+utnYAQD5CGWGCIIiFBAWBRXzta7di//69+MlPfoH//d+7MT4exte/fmtN\n7921ayeCwUbcf/+f8LGP3YTvfOe/cPDgCHK5HG666WM47bTT8Ic/PIxbbrkNX//6bdi3by/+8peH\n8NOf/gi33fYN3HvvH9Dd3YMvfOEzs/wp5w62ghwDJAme3j4AJAed72jxOHZ/8kYMfOvfYOTzcz0c\nYo7hmUBx/Y7PXk2goevY/69fxJ7PfJq5khLzAi3O+oQpDUEowaD5WHwuh0QQBEFMEQoCbWQyGfzt\nbw/j/e//CFpaWtDY2IgPfehj+MtfHkI6na76fkVRcN1110NVVZx77uvg8/kwODiAzZtfQjqdwgc+\n8AG4XC6sW3cU7rzz+2hvb8fvfncfrr76bVi+fAU8Hg9uuOFD2LZtC/bv31dxX7nx8QU5IddiUcAw\noAQa4GptZY+RHHRek96zG1o8huSWzZh4+M9zPRxijhGZwJ4e9v9odNb2lRsZRn5iHEYmjeS2bbO2\nH2JqaDEzCAw2QPb72WOJxFwOiSAIgpgiFATaiMdjyOfzWLSoSzzW2dkFwzAwNla9F1ZDQ0NB/0JV\nVaHrOsbHw2hra4csW1/3qlVrEAg04ODBYXzve3fhkkvOwyWXnIc3vvFCABJGRoYc9sCIPPEY9nz6\nExj71d3T+6BziJ5KAQDkgF/UFJEcdH6THRm2/u7vP+T71zMZTPzpj0jt2nnI912NI1Eiq5uZQFfn\nIgAsM2jo+qzsK3PggPg7/vcXZmUfxNThCwFKQxBKIAAA0JMUBBIEQSwkFkSfwNnggQd+h3Q6jTe9\n6SoAQD6fR3d3D9xuN4aHB9Hc3AwAGBoahCzLaGpqhqIoyNlssCM11qmEQh0Ih8eg2yZKv/713Viz\nZh3a2tpxzTXX4fLL/0E8t3fvHvT09DpuS89mMfKjHwAAJv/6MEJXXzu1Dz7HiCDQ44XaxL5jkoPO\nb+xBIJcCHkoOfO0ryOzbC3d3D5beUps0+1CQ3rsHQ/99J7zLV6DrvTfM9XAOGVqcTfbVxkbIfj/0\nZBJ6MgmloaHu+0of2C/+ztj+ni1yo6NQ29ogyfVbH9WSCUCSofh8ddvmXGPJQRsg+1kQqCWSczmk\nsujpNEb+50fwrV6DpnNfB0mS5npIBEEQ84IjNhOYTCZw7713Ix6PY2CgH1u2bMbKlatx0UWX4q67\nvo3JyUlEo1Hceee3cPrpZyIYDKKvbzFefvklDAz0I5GI4//+7+c17Wv9+qMRDDbie9/7HvL5PLZt\n24LvfvdOBAIBXHLJG/CLX/wM/f0HoOs67rnnF3jf+65HygyWislPWlkzOVD/Sddso5uyWtnnY7Uk\nkgQ9Hl+Q0tYjhdzwiPj7UNf95CYmkNm3FwCQHRyAnskc0v1XYuj730FubBSxZ5+eV+PiGIaB7PBQ\n3bOVwh20oQFKg1kPFpsdSWi238oEzvZiUWrXTuy5+SYMfefOum0zH41i7+c+g31f+txhdY/TYvZM\nIJODztdMYOLllxB79hkc/N//Qfy5Z+d6OARBEPOGIzYTePnlV2Lr1i3YuPEKyLKEyy+/EqeddgY2\nbDgWd975H3jXu65GJpPF2Wefi4985BMAgHPOeR2efvpJ/P/svXl4JFd9NXxq6b1bai0taaTRaPYZ\n7+MZb+AFMJjFEHYbAjg7JCGQNwQTAg7GQEKAkOBgXpLw5Sg9tSAAACAASURBVE1ijMHGQIAQMHg3\n2MbGu2fs2UejGWmkltSLeu+u5fvj1r11q7p6VWuz6zyPH496qb5dXcv93XN+57z//b+LYDCIa675\nffzylw80/CyPx4MvfvEruOmmL+Mb3/gGotFefOITn8LGjZswNrYRmcwCrr32z5FIJDA2NoYvfemf\n0dXV5bgt/karplPQKhWIHk9ndsoyQCsaTGAgAEEUIXV1Q02noKTT8PT1rfDoXDjBwgQucxFYPHrE\n8nfp5AkEtmxd1jE4QVcUVGbM4rg0MYHAtm0d2baSWYAyPw//xk2L2k76/nsRv/UWxK5+N3pe+/qO\njE2rlKGXy4AkQfD5IUUiqMRnluy4qHCmM2omA13TOsrS8cg/vw8AkH3iceT27UXojDMXvc3Z73wL\nqqEYyT2/F+Gzdy16m6sBjAmMRCAZi5GrtSewNGlK2AtHDiNywYUrOBoXLly4WD14yRaBPp8P11//\nuarHg8EQrr32E7j22k9UPefxeHDddTdYHnvLW94OANi9+zz87//eY3mO/3tsbCNuvvlmzM5mLK8R\nBAFXX/0eXH31e5oat/1GqyTm4TV6c9YCtILBBPr8AAC5e+mKwEoigbnvfRdiwI/Y1b8N0efr6PZf\nCtBKJShcDtyyF4HHjlr+Lh0fXxVFYGV+DuAYtuKxox0rAqf/v39D/vl9GLjmdxF9xava3s7sHbeT\n/3/3NnS/8nKIXu+ix0aloFI4DEEQmASUFgWdhsqzf6q6ZLJTwBp+Xjh8aFFFoFYsIv7tbyHDMU+Z\nxx59ERWBJhtMjWE6yQTqioKJb98GYceZ8BtRQu2CLwLdTEsXLly4MPGSlYOuVWi2IrAyv7ZuajwT\nCJAiECCsZqeRfvB+ZB77NdIP3I/M464MqB1U4nEAgGdgEACgFfJLZgLihNJx4pIb2Hka+Xtqatk+\nux7ofqEoGpLVxUJXVcZIxW+5ue19rWYy0Ln+5cLB/R0ZHzWFoWYgVA6qZDpfBOqqSooNQYAnNkA+\nZwkloeVp04yrMhuv88r60HUdU//6dSw8/CsAQPdlrwBgNblZ6+B7AqUl6AnMPv0UTtx+ByY++2ko\ni3SfLXNFYDtxJrqmIXX/vSifWh3XHhcuXLjoFNwicI1Bta22KnNrK1ie9QT6CRMoLaE5THF83Pz3\nkSO1X7iKUZqcRPIXP1/WwosHlYJ6h4fJir+uVy1ELCUqc2QyHjr9DACAkly6TLpWUDaKBM8gKY6V\nDjEMZVuRq7S5yFM4dtTCVJa5vs7FgBk7BQj7QzPitCVgiNVMhsTJhCOQDaOupYyjsBaBjd2ga6Ey\nN4v83mchBgIY/evr0P/2qwAs7hipzM9h5pv/hezTT7W9jU6CPw7EJegJrMyb97XMrx9ueztapWz5\nLdv5DXLPPI34t76J8U990nWyduHCxYsKbhG4xqDlrautrRZPqQfvx+wdt61YUaHSyYNRBMpRIyYi\n1dmbq67rzFAEwKqMF2iEcjyO45++DrPf/c6KTf5YETg4yPX+LI8kVFdVxnT7txKppZJMtrydyuxs\nx1fxKRMY3EEYyk4x8sXjxyx/84VJK7DvJ76vczFQC+T6Q5l8JgddAiaQXtukri5IRo/0UjGBajZr\nWdyoNBEJVAslY/EpsG07Alu3QQyFIHi90AoFqPn22LKZW76J9IP3Y+pr/4z8/hfaHlunYBaBAYj+\nADH4KhY7Zn6jcveD8iJYWWZgE+kCJAlqJgOtXG5pG/kXzHzK9C8fbHssLly4cLHa4BaBawy0J1CK\nkElRK7046QcfQPyb/4Xkz++0sGTLCd4dFADkLioH7ezkTkkmoWYWIHi9gCQRZ0njs5cDuef3Ibdv\n76K2kX7wfvbv0vix2i9cQlSmSfHgGRzi+r+WpwhUkglA0yB1R+E15KitMoG6omDi7z+H8euv6+jk\nmY4jQIvTVLIjCyulyUnL3+VTbRaBKVIE+kY3AAAq8U4xgeQcklgRaMhBl6AnkLJ+clc3pCW6TlDQ\notk7tI4UC+l0246vReNc9Y1tBED6vj29fcbntM5kF4+PI7/3WfZ3ugkzsnah5vNNuckyWb+fGHyx\nwPhCZySh9PgFFqd20dj9MgK5p4dsr8XfoHDoAPt3pxZTXLhw4WI1wC0C1xioHNQ7ZAQ1t7ACn7rv\nbvbv4vjROq9sD8rCAsb/5hOY+eZ/1lwR5icPwNLJQSmD4h/bCE8sBui6RWK0lMi/8Dwm/+kfMHnj\nP1bJd1sB74xZnDjeiaG1jIIxBt/IehZJ0m4RmLrvXhz962uRfaq50G9q1OHp7ydMkCiSlXyu160R\niseOkWJC1zFz8392jAFnBUpvLxmbpjXFZpcmJ9k+ddyuITfzGc6gi2UCaS9lpyav9p5eKgeljEsn\noRgFn9TdBdlgAltlHLVSqal9SK8/ck8PPP39AND29YL2h/LurrJhetUOY7zw60cAAKFd5wIAsk8+\nAa3SGpvVDFL33o0jf/EhzH33toavVQu248DoC9Q61BfIn0uLuW7zcSaenl6y7RbUBFq5jNJJzlhm\npjOLKS5cuHCxGuAWgWsMVA5KjTqanZCXZ+MWYwK762InkH3qCZSnTyH94ANI3X+v42u0KjmoUQR2\nWA6qGBMHub+frcIvl4nO/E9+TP6h6ygcPtTWNnRVZYwCAJRWoAiszM+jMjMN0e+Hf+MmMw+szdX+\n+Z/8GMrcHKb+701N/d5UkueJxSCIotkX1sKxknveZGMrs3Hk9j7X4qidYUoVuyFTlqdBv1Fu77M4\n/unrcPJLf88KnOrtkuIyuH0HAKDcJoNnYSoFAcr8fEekelreNvlfQndQCxMYouYjzS+qqPk8Jv7u\nMxj/1CdRmpqs+1p6PEpd3SZr10b/mK5pTIbuN5hAgCwWtLNNXdOQ+c2jAIDeK98E78h66JUKShMT\nLY+tHsoz04h/+1uApiF518+rGGnLmHTdIgcFAJH+Ph3qC+QLtcrcXNtZl/T+KIZC5oJFC8cq7UuF\nEUtiN4Ry4cKFi7UMtwhcY6CTIK9hSNHsynh+L5kMe2IxAEDpWOvywuLxcczc+s2aE3i+d6JYQ764\nXHJQWvB5+vrYKnynzDvqQdd1S8FWOHiwre2Upyahl8uQ+/sh+PxQFxaWPZ6B/p6BnadBkCQW69GO\nrLY8fcriAJvj5G21YP6GhJmRjZX8SgtyrqJRhPs3bwEAZB55qOn31oNZoHSxaJNGzoOJO38GgEhU\n8887S4VpJIJvjNjit1Lw8qDnqCcWI8Wzrlskdu2iiskPtz6xbhZ8TyAtMlpZgEjdcxcx2tF1y7XJ\nCfTYlKNmUV+Zb126WYnHoRUKkHt62KIFAJOFatGdsnxqCmoqBSkahX/TZsYuFtu4ftdD6l5rvFF+\nX+3FEl2pAKoKQZZZRi0t0jthDqPzx6okQS+X2+45Ze0TobB5rLbAWtPj2jeyHoLXCzWb6Vih68KF\nCxcrDbcIXGNgTCAtApucfFHmr/tSYldemW9tdVXXdUz/x78jfd+9OPHFz0NX1arnC/tNG/paPUim\nO6gxiaTGMAvpjprV0ILP07u8TKCSTLBVcgAotmlIUzZ68XzrRyF3GZOXZTJkoaDHTGDbdgAme6sV\nq3uldF3H3A++h8TPf+a4LRp7QJF7rnERSAsiOpk2e3qaL2aopLT3Tb9FPnfvc4tmxLRKmfzGkgQx\nFGLjqlec6rqO0gmTvanFSFImkPbytetGSPeRHO1hxXM7pjp2aHZjmCWUg7Lfv7ubuZG2wgTysR3F\no/WVD0wO2h01Wbtk69cLauzj41hAgNtPLTrrFg6Qa2pwx04IggD/JloEdkbJoaTTmPznf0LqnrsA\nAOFz9wAgGau1wNhg4xoOAFKw9d+n5vZzOeiKAikYhG94hIyzTUmoxslBGWvdwnWU5SFGIiymxGUD\nXbhw8WKBWwSuMbCewAGzJ7CZYo4yc4EdOyH4/NArFUux0giFA/tZ3lLFJi0FSDHKF6TlGjdKuxxU\n9HiJqYCqdjR6gBZ8cl9f03K9ToD2j8hGX1G7znZUBugdGDR78ZYxmgEASifJb0zDmlkRWKo+bioz\n00j89CeYu+N2x2Ke9mV1v+rVAAjL2KjoZz1hBltsFjPNsSm6prHXBnecBu/wCLRCAYVD7bGzFDwL\nKAgC5KhRnNZh7ZRk0nJ8Fx36AnVFIVELggDv4BAgSdAKhZbdDLVymTAykgQpHG6qSG162wUrky8G\nAoStKRU73qdG97PU1c2KjFaYQD4fzml/81BStP+w22Tt2mACqQrAbysCmVyyxYWc/EFiShLYvpNs\n12AC+QWFxWDuh99nCzJ9b3sHwuedD6D+OWbvCwUAkfUELv4aRa9zciTcsF1AzWTqLuqwIi4Ubku6\nbOYhRkzGf5XE1Lhw4cLFYuEWgasMC488jOOf/TTyB5zDnelNVu7pgeDxQK9UoDeYJGrFIrHIlyT4\nNmwwA9pbMGPJPfeM5e9y3Go0QfPMvIZsRstmHYsWuxwUMCWhncxgUjg5aLNyvU6gbPTShM48GxAE\nqOl008yTViqxibQZ0j5g9kPVkYOWZ2aQffbpxQzdAl3TWBHoWz8KABB8PjJOByaQ731UM9VZbnRR\nIHTGmZD7+qDl82z7tUAlwvR49bTIBKoLC4RRCEcg+nwI7iQT6VpSZYB87+Lx8boFqpI2ihPDodfs\nVaw9rtJJMmmnstRKIlH1GfyEU5CktqXSVDond3WRXsoOMoGqTQ4qCEJbMrtmQBcB5K4uVmQ0G0iu\nlUokH04QAFFEZTZeN55B5ZlAauLSxmSfSkg9AwOWx2m8SitFkq5pTMZKj13aC16Zm227T44i/asH\nsWBEHox+8nr0vfG34OltvNBiXwgATDlosxEY9VxIaaEvh0KmcZjDvSG39zkc/dhHiDKlxjXWlIOG\n2pOD0oiJsMn4N+pnLp2YwPz//KihBNmFCxcuVhpuEbiKUDpxAtP/7xsoTRxH+oH7qp7XNc1k0oLB\nphvdy6dIX4x3aB1Ej5dNqmuZUzghf4CsSFOZk90ljTq4eWIxc6LiwILRVWQp4GePSXS1t0N9gbqm\nsQmc3NvH9fgsAxM4aRROGzaQybeu15VWUVQSCYz/zV9j4jOfhq4oTE7rGRhsOIHUSiWc/McvYuqr\nN3YsT7AyG4deKkGKRtlxRif+Tj2BfO+j0ySJHi+egQEEd5AJLS8fdoLpDmkwgYxxa66YocckndRT\niaWdxeYR/9bNmPjcDXVt+NUFG0PZBBNIQ+D9mzaT/amqVYswCmO+SHEpdbe3OEKLcFak0slrBxZB\n6PWHMnPA0pnDODKBTRYZZcMIxjs8At/IevJYnaxIuo+lrm6zaG5jf/HFJA+pDWfd4rGj0HI5eGID\nhBkG2e9SOEL65BaxaKbmcpi55WYAQPTVVyCweTMZt1EE1pWD2iTBgMl0NlPkZp96Akf+/IOY+upX\nHIs3/hhjObIO94aZm4kLdfHYUcz/+IeOn0WZVzEchljjOC2OjyN++3ccI0H4hRl2ntdZTNEqFZy8\n8R8x/6P/xuRNN0JxWBBz4cKFi9UCtwhcRci/YPZNOfWw0AmQGCDZTObKZoMi0GBhaKwEnWTSSVYj\nqPk8cbyTJHRdfAnZ5rQzE+jp7au5mqxrGnTjRit4fexxxkx2qAhUUilAVSFFuiB6vWQSLAgky83W\ny9hpUAmab2S9yUA20c8y+51boSSTKE+fQvbpp8zfbGCAk5I5T7BS99/LJqzx227FzC03Y/z665C8\n+662vwctlPxG4QQAop/8ZnqpuggsnTDNcOxFi64opCATBHhiMQSMgPX8gdq5fbqumxPqNuWgPBsM\nAL7RMWOszlK6wpHDSD9Iir/UPXc7vgawykGB5hxu6cSRGBXRCALrokTV921jsQbgikmjePe0uN/q\nwS7n5j+nk8ZFuqKQCbggQIpEIHLOtM0wYDQSwzs0BK/RV1au4xDKWOdot3n9Ssy3zLbxxSSPdtxN\ns4//BgAQOussy+OeAWLuVUty39S2n3wcUFUEtm3HwG+/lz0ud0cbKhic5KCt9ATSBaPcc88i+0y1\neoG2PMihEORuUnjZC141n7Mcz4mf/a/j4g6Tg4Y5YxjuONVVFRN/ewNSd/0cqXurz3n+/bSwr3ee\nZx57lB1LermM1CKuwS5cuHCx1HCLwFWEAmciUpmbrZr8UakNLQqaXYFnrJLR2C51tTa5LBw6COg6\ncaczJtL23DG+B4+tetukW6YpjB+CaB56nZaD0t4/ygCJHg/5zk1mubULXVFYuLdvZIT1BTbKudJ1\nHfn9pnQodd89UNMpCLIMubevoaEB3+OmzM0h/cB9KE9NYva2W9v+vrRQ8vFFYB13UP5Ysn9mZX4e\n0DTIvb0QPV4Ed5D4g8LBAzVll1o+D11RIAYCEA0Zqtzbmhy0Qo8Dgwn2jgwDoojy9CnHPrvCQS4U\nemqyJuPIXCsZQ2lK1moVDXRbcrTHLDLsRSALtia/N510tsr4MCaQFqm9nTSGcSgAmlyMagWMgYlE\nSBi5xwtBlqErSkP5O8BlTMYG4B0eBgCUppyZQK1UglYsErfLQBCi3w8xGCKFaIvfiS8meTAWqski\nUFlYQOrB+wEAXS+72PJcMwYluqIgf2A/y/OzI/vUk47bFmSZHNe6XvN6zOSg3EIAk+s24ZxZNqJf\nADMGxrp9MmY5xDGB9muK8ft6h0fQdellgK4j8+Tj1dtiPYEhx/sln1nqJN/kmUCmWKmjRMg89msA\nQNfLyWJp+oH7W8o1deHChYvlhFsErhLoXKYcvdlQpzkKar9Ng3lNZ75GTKBpMgKg5Z5A3qGO9rrY\npZ5MDtrXb67a2yYETivIQOfloBUbA0T+3V5OVysox2egKwrk/n6I/gD7fDphqQVqK09B97enn+Tj\nMfv1GkVg2TCjGfyd34fg88E3Okp6oQDk9lVHEWilUkNG1LEIZMYwVtmUrmmWY9Aea0BX7KlLq6c/\nBrm/H1qhUJOVc2JUKEuhpFJNMbrmhJwcX6LHSyJSdN1x8sm7SQKmKUfVdm1MoOgPQPT7oZfLNeWK\ndB/IPT2mPNl2LJpMPzl/mBy0hd5dMj6jJ5DJQVuP1qgFpyKQTdQ72HOrcFJQCrEFcxhWBPb3M4fJ\nWkwgkx1HoxCM88bM9Wv+O9mLSR6i3w+IIvRSsake4Zlb/gt6qYTQ2efAv2mz5bl6cnuAuNdO/N1n\ncPIfvoBT//b1qud1XWdKk+Bpp1c9z3pRa9xX1IL1OAX4iIgmfptZ89xz2r90G5KlJ9B6DtDv7onF\nED77HADmddMyVktEBC0COYOm8XH278Khg1XmRhZ30AY9gVqpRMYgCOi/6mr4RjdAzWYshaYLFy5c\nrCa4ReAqgTI3BzWdhhgOs5uaYise6A2NToaabXRnJiNGrARj3ppkifL7iWwvsGMnKTwlCVouZ2FT\neOmdVMPNkq0g+/yWx005aIeYQFqQ9ppFYK2JdydBizHag9SspTh1FAyddbZlck0L7npSMrVQQGVu\nFoIso+viS7Dlxpuw4frPIvbu9wAA8rY8PjWbxdG/+kscv+FTdRlKZgozOsoeMyMirEygmsuSQGUD\n9uOKFXRcnxQNQ+cNZSzbtJnCAAZL0WWwFE0UNAoXNk5BMwedCnMa8h0+7wIAtR0lnQoUqYEkVEnS\nHLqemmHkjOmn53eb8QtVPYHd3S2bFNWCPScQAOtXK8+cWtS2edD9SAttwFz8asYchhb5nv7+hnJQ\nlhHIHyesN6756wXfw0qLSQpBELjzuP7vWT41hdxTT0L0+zHw3muqnm9kdJV76ikmjczvfc6iMAHI\nvlGzGUiRCFMr8KDHXy2TF9azZ3EHtcpBtXIZ8dtuReLOn1oWbHRdtxSBTtcg+rlEDupsDGMW+THi\nnCoIKB49Yrkn6brOmEkxFHJ0suULab1Sqb7nZigTGG54jucP7IeuKPCNbYQc6WKtE7kafdrl2Xjb\n7tEuXLhw0Qm4ReAyQNc0nPjyF/Ho+34Ph//iQ5b/jn/uBqj5PApHyGQ4sGVrzZ4hfoUUQE1jGDWf\nQ+HoESZNM005SBHIegKbMHKoJBIoTRyH4PUisGUrcRt0uBmactD+mj1stZhAucZqb7vgx0LBJt5t\nmMNolXJNWRWP0qS1CPQOrQNgxiPUAmWgfBs3WZg3+nuJdUwlaA+id3iEBLp7vBAEga3w2yeA2aee\ngJbLoXxqCnM//IHzeCaOQ0kkIAZDbAwAmCxTs/UEUuaJwi6XYhN6TiJHDYZqmbQoC9VFIAB41xn7\n9FTjgsM0Fomwx+Q+5+NAzedQmZ2F4PGg+xIyeatVBJq9e2aBUs+0Rtc0sxCORjn5qPV4N5l+usjT\nnuGKkrF+b0vx3CKryENXFOiVCiBJELxe9jg9zu1mUYuBMm+VdAMcE9gE26RwRYInFoPg8UBJJh3l\nisyFlFukMGNlmmcCVYft8DDNYepLJqlUM3zuHrZowaMRs5t++CEAgGAEuWcee9TyPGUB/Zs2VxWr\nABqa8PCyfvYeal5l7N/MY48idfddmPved5H42f+y16nZjKWn2JEJ5I1hmGplwSId54t8KUSuU7qi\nWIo6rVAAVBWCzwfR4zGcbK2/AW2VoPvKXuDRa64YjpDvKEnQ8jnHOJSysXBGc1VDZ5HF3Nze56qU\nC6n778X4Jz9uLMYtvWGZCxcuXDjBLQKXAbqqoBKPQ8lkoGWzlv9Kx8eR2/ssm6wHtmytGW7OVjUb\nTBLjt9yME5//HOa+fwfUfA5qNgPBa7qCtmJSkH2aTEhCZ5xl9mbZJrxqoQAtn4Pg9UKKRLhJhL0I\ntAbFU0htGmDUgpMclNm+t3jDze3bi2Mf+yiOfvT/IHX/vXVfS4tA73qjCGQMyUxdgwnKQPk3jFlC\nppthAqlBj3fdsOVx79A6CD4/lESCMVcAkH3SlCbVystbeOhXAICuiy6y9G4KNdxBWSSEMaG0MwhO\nk2PTqdNZDqranEHZ+1h/V22TDwqzGHJgAm0MBC0qvUPr4N+8FRAElCYmHPt5VAcmsJ5phLqwAGga\niarweNh3shsz2ZlAKuesZbiSe34fUg/cV3VsMfYiwhW/HXAI5U1h+OKBKgwaLXa0Al5eTlGr70zX\ntCqzjwrXFyyIIjs/yg59gSZTXc0EtiIfd9oOj2azAqnDb2jXuY7P111w0HUUjQXFwd//QwDVvW70\nvPdv2eo8TsYE1nAjdpSDWplAuqgJAAsP/dJckDRYQKoKcGICNY4JFGSZ9FPaJOd0O1Rt4XGQ72qc\nFNQcp1GsZkm+bjlOthMwlAn8+avrOtcTGCLSfLrwulC9MFOesbZdeAcH4RkcgpbPs/so3W7if38C\n6Dr0Ugnz/+PsbOrChQsXSw23CFwGiB4vNn3+i7jglv/Elq/cxP7re/NbAQD55/ch/zxxBg1s226y\nFfaeIdtNjd6QFO7mqGsaMr95DACQvPOnZn9ZbIBN6BsF+yqpFKb+5WuY+pevIf3A/QCA8J497HnZ\nltdG5Zdyb68he6olB612FgSaN8BI3nMXDn/oTzD7ve/WLaoUtkocY4+1M6nTymVM/+e/k9Xrchnx\n79xa15HPlIMSCaVk2JLrpWLN76brOorHiRzUN7YR0Ve8kj1HGZZ6QdmVObM3hocgivBvMAoto8jU\nKhUm7QUIW2KXWan5PBYe+iUAoOuSyyzPiTVyAim7RIsBzcaa0s+wFIFG9mB58qRjf5+ZEWdnAg1p\nXx27f/ZdqIFLxGTsPP3OclBawHjXDUMKBuFdtw66ojCprmVstp5AgDsnHCbmzBSmh3z/Wq6fjOkP\n2BZ5HHqztGIBU1/9CuK33Iy0YSBifm9jfPz37kBWoOrQDwiQokTweqFmMiidOFE3Y7FZ8D19FLUY\nquSdP8WRj3yYFU9KMkGK7mgUoocwlt46iwdO0mPGtrVSBNaIh2DjD9Ool9pFoJJOoXjsKARZRuiM\nMx1fw19/7ddBJZGAVihACkcQ2X0eBK+XmBxx53nBuAYEd57mPM5g/f4+MyfQvI4LPqPnsVwmsQ1H\nTBa9MjuLkpHNSRm8wOYtEGSZtBXYF5W4nEAAjpJQngkk+6Q62oIW23S/8/9Ws1nCLpaKEIMh1jfK\nf4ZWLBpMop8dR2a/ZLWzNjNgGzTVEz2vfg0AYP7HP2K/VenEhEXOnnnsUcd4ChcuXLhYaqyJIlDT\nNFx//fV417vehWuuuQbHj1dPzFY7BFmGp6uLMGXGf6GzdwEAFn71S1RmZiBFIvBv3sKxFTXcA209\ngRq3Ck7DyilS9xL2ysvJ+sxgX+ciMH7bt5F94nFkn3gc5cmTkCIRhHefx563r0SbzBsZd205aPXk\nASArz4IsQysWa94MtUoFif/5MbRiEck7f1pTqqdrmjlBiJkTSLMnsHkmJHX3L6CmUvCuH0XkopcB\nqorkXT93fK2azbLePC83CWBsoC1So3TiBBI//xnKkyeh5XOkP6enB96hdRj9xN+g/+3vZJM0k4Gr\n3jfminis6jnfxk0AzHD00vgx6JUKvMMjCBjbLhyx7seFh38FrVhEYOdp8G8YszxHi3e9VLRM9Omq\nOP2u9smjPe8PIMewpz9GHFVt+4a8x5lVoZP5enb/gNWsRuYYMU8f2U/22A7GBBpyUxrqbj/OdEUh\nDLcosuMcqB8TQQsvet5QOXZ1EWhmgAJEggY4y0EXHnmE9fclfvJjy3OMCeSL1CZCwBvBzPi0FoGC\nKLL9dfwzn8LE336m5nmmZrNI3XePxZDDCUqCMoHmcU0Np1TbYsjcD74H6DqmvvbPxvlvSkEp6pnD\nOMlB6fnUisSVGiLZJcwUzSgwss88Deg6gqefUbVYRiEGAhB8PuilUtWCC80p9a5fD0GWmTQxb2Ry\nKqkUytOnIPh88HOqA8v2G8lBKRPIKToEQWDFY2V+HuVTU6RP2XAfpZ/PrlcDA+Z9xLYQZbY9GIy4\nLUJI1zSL3BfgZN5J857JTF14JpCLMzHvEzHHfj/TsCAlQAAAIABJREFUobb6/U6yatOAbYA91nXp\nKyBFulCePMkW43LPkT7t7steAf/mzdDLZfaYCxcuXCwn1kQRePfdd6NcLuP222/HRz/6UXzhC19Y\n6SF1BL4NG9ikFgDC5+6GIElkQimKUNMpixyNb3IHnK3ZC4esjoY0e9DD3ZhETrrjxKgVbX1kvW98\nM0SuB6gWE0jll1INptHJVAIwJhANJKG5Z5+xTIZzzz7j+DollYKuKCQjkPucWmYcTigcOoiTN/4j\n5n703wCA2FXvQvQVr2LPOYE6SfqNFW4KKkOjUlGA9Nwd/9sbMHfH7Zj62lcBEBaQSuwCW7ai98o3\nmcxtDUMWwGqFb0dgC5mY01wuOsbA9h3wjxlRH9y4AGJuAADdhsU5D0EUWS8Yb9NPV8VZEWibpLPJ\ncdTKkHgN0xk+Y5C9J22wWTZWxbeeOJ8Wjx+vu3pOzWpEQ1JGIddwbDWZQKMI3ORcBJoZfF3WmBPj\nu9mdUQGeCSSFmBggix56ybrowVwXq+TeWct5qus6Ug/cZ24/mWSTV13XTWOYMCcHpUYni+g/Mpn8\nQNVzg+/7XXZdKk0cx9wdt1W9Rtc0nPjS5xG/9RZM3vSVutb59PfhjUsoQ2q/rvDMZG58vIolAmCa\nw0w6yUGrFynY609NVTGblfl5x2PPHh1ih1hDIcEj10AKCpDrpf0aTMHUCIYknfYGU0nowqOPkMd3\nnmY5LyzjbGQMQxfzgjYHVOP3Lx4/Bug6PAMDCJ5xBgCgcNBWBMZiNa/5mp0JtEUzKIbBkRSJsGsj\nY7otTKD1fglYWyh412KnRRxqyGQ5jygTaJODasUi1HSaxfqwfeLxIHI+MZpa+DXZ94VDRv//ztMQ\n3nM+AKtM34ULFy6WC853gVWGJ554ApdeeikAYNeuXdi7t9r2fi1CEEUM/+mHMPWvX4fc1YWe111J\nHpckSF1dUFMpqJkFiMZNha2Q2iIiFK44KhlMYPQ1r0Xq7l+wxy0GHx4vBK+XSHdKJQjcirOaIyG8\ngteLkb/4KESvD/6NGy3jNicg5CZqN2KpteJdSw4KEJZEmZ+HkkpaVlIpaPEV2LYdhUMHkX3mafS/\n7R1Vr+NXd3mI4TAErxdaoQC1UKhiMyhKk5M4eeM/EfMCQUDP696A0BlnEtc5SUJ58qQhi4tY3lcw\ncv7slus+VuiYBiiZRx4GDAkkHW/oTGsgtGXsPjOkXdc0S/HBrNL7q5nAwDbDgfPIIeiKwnLwgtt3\nMHMXnoXjreMps1M9Fj/Uchlasch+R7oI4envBwQBWtE6Tic5KECC6HNPPUn2zUXWz6llDCOFQvCN\nbURp/BjyB/YzJ107nCSRgDGhlCSomQVopRLbt6wIHDSKQOOYtxvX2OMh2Ha7KavhIAelTKBx3giC\nAKmrG0piHspCGl6jgDfPb4MJ9Hgg+v2EIS/k2XlfPHoE5ZMnIIUj8AwOonjkMIoTxxGORqEVCtAV\nhUjYjO8GmOxEeRHmLU7xEGz7Q0PY9IUvQ00lcfwz1yPzm8fQ99Z3WFjx/P4XWE+emk4j8+iv0X3J\npdWfUyqR/SxJlt/fiaFSMgsWNix76DBXBJrnhHeEFHWlU05y0OrjUwoGIff0QkkmUInH4R0iCxyp\nB+5D/FvfROjMszDyf/7Sth1nCTPbJr0u1ujx1IpF0hYgCAifs8vxNRSenl5UpqehJBPwGd8N4Bht\no4hlReDz+6CrKpP3d1/6iprbbmQMo9a4jkuhICow5efMuRPk+m1RafTHqhg++/blEI1KsRopOcn9\n2SJHQzmoyQTqxiKE3NPj2JJg9gNy7++iPYHWMVMWkMb68Ihc9DKk7r0bmd88itg7r0bxKO3/3wa9\nUsHcHbcz8xhBksj3mJ/D9L9/w3YPtS3Y2tdvbQu6eqPXt7i9Rq+v/jzz7+OSCFWxy8RbG1/VgnXD\n79PC61v4Ls1+tq7pgErUGmIgQDJIAwGWfauXK9BKtdVPqxUnZRFK1W/pAoKA3te+Hl0vv7jxa1cR\n1kQRmM1mEeYvxJIERVEg11jJ7OkJQpal5RpeS4jFIrYHdmDk6/9c9brJnh7kUil0SSrCxntmKuRi\n0Tvcj2gsAr03iKOiCC2bRV9PAKIsY3qeFAXDF18A5fgxZI1Vx9HLLoSf++zxSATl+XlE/YCPezwd\nJ5Pe4Ogoxi42JaA8/FvHMA1ATyURi0UwnyU3xN6N6xEzxnUEZEW3vy/Eboo5kVw4Iv3Rqv2QGCaT\n2UApW72PAJw6SdiijVe/HQf+4Z9QPnkCUa8Gj61ImHmWTNLD64ertnOivx/FqSl0oYigA3MGAPu+\n9l3opSL6Ln45Nn/gj+DlHC2nN29G9tAh+BOngA0Dlu2fMBjY4Yv2oIt73HvWDsx+B9CmJ9nrTx4g\nBWNk5w5k9pP3bXj1pZbfx44jRjHQG/FCDpJJuFoq4eDCAgRZxrpto1WTD8QiOLV+BIWTk/DNTzGG\nd/3L9qA4PY0ZAPp8nI2rNDsHNZ2CHA5j+Mytjs6BE6EA1MwCoiEJAeN98xVSUPaMDGA+GICay6M3\nJEEOh6EakjVBljG4cciyTfHMHZj/MaDPTFX9VkcNNmtg8wi8Uetz+fN34+T4MSjPP4PYq6sZSwBI\nnSI3X39/b/VxEIuhOD2NCIoIxvqhqyqTl607fTMkvx9q13ZMCALK8Rn0Rf0QDffAxHHCgAZs2y1q\n63ECgLawUPV5yQKZjPaMDrHnpvp6kU3MIyIq7Hg5ajDlsdFB9p2Pd3ehVCyi26uz/X3o28T9ceiK\ny6GrKqaOHIY8P41Y7BIUpsjE1dfTbRlHaOdmTAHQuN/bCdN3/gKT//1DyF1dOOOGTzE2BgB0D5no\nBKJdNbYRATYMIHPh+Zh/6BFIJ48idqZpPpJ6hrAd3t5elBMJVF54DrG3XVm1ldw4mcgHhgYxMGie\nf+pgH+YAeLQK+/z0jNVYKHv4CKQS+Y16N61nr9P7Qpjw+aCmUugJiJDD5vc6xo61Yfj6zO8V3zSG\nVDIBfzaBvtg2lFNpHLzlZjLG555Ff2+QTdoBYDJH9n3/xmFEHPaPMtSHeQBerey4/+YffQG6oiCy\nYzvWbR2tep5HcrAf+ReAoF6ybGt6gSw4xLaOkXtE3xmY7u9HeW4O8//xb6jEZ+AbGMDGyy+2jJ2H\ntK4f0wBkteQ4zuNlcr7HRvot16x4tBtFAJpRaHeNDmN4xximYv0ozc4hVExDM2S+gzs2Qj0YQxaA\nXy1YPucIcwcNIdYVQWVkEEkAnlIesVgE8efIfg6vX8feF9oyikkA+kKaPVbQSZEXGTDP1fJgHxIA\nvEoJgvF89+g69G1ej5MA9Iz5fl0g15BQf4/5/nUDSALwKkXLmOcOkjGFRkeq9pnefw5mh4ZQnJ6G\n8puHoOXz8Pb1YXjnRvKbDa9DceoU/IlT6DqdyPRf+Mb/rak6WYtYXDDN2oeayTTMc14rqPbFdUGh\njR9G7C2vX+lhtIQ1UQSGw2HkuBUxTdNqFoAAkEw2thBfCcRiEczONnch0I1V/7mJaRS6ScFSTJHJ\nSqYioDJrOgCq6TSmj0zC09uL3AQp4grBKKJveyfyN92I/ndchYwQQIb/7EAQwDziEzPww1zRTe0z\nAusH19UcqyKTsRVOTWN2NoPcKcImFb0h9h4xEIBWKGBmIs5WwLMJUiwWVLFq21qEsCSJYycg2J7T\nFQXZI4ShKsfWw79lK/IvPI8TDz+ByHnnW147f2icbK+7t+ozxO4eYGoK8cMnEAr0EKmXbjpO5ve/\ngNTTz0AMBBC96j1IV0SA24Y8thE4dAjTTz6H6K5z2PaVVAqFEych+Hwo9gyhxL1HDRMWN3d8AvHp\nFNRMBvmJExB8Pgx88M+hfP1r8MRi1b+PDYLXCxSLmJ2cZb00zGmvqxtz884SM9/O01E4OYkjN98K\nrViEZ3AQaVWG4idMVv7kJOLxBQiCgMzjpC/FO7YRc3PObIVuGCTMTc3D7yGTnXyS/K45TYbgCwC5\nPOIn4vD06ywHS+rqrtpmpYswx5kjR9kYAPJ7KwsLgCgiVRKqjgfprD3A9/8b8Xvug7B+I7ptBjYA\nsDBBjknNH6w+Dnp6gelpxA8dR8jXjS6QAG+puxuJTAXIkMmhp78fldlZTO07wtiW9IkZY7shy3Y1\nlVyPyskk4jNpS0Gemyb7oCAH2Ht0Qxo4d/wUSn3D0HUdinGNS+ZViBXyOiEYBhDH7PFpBOQw1Hwe\ns78iRaDnvJczViGx/xD8sxkUxg1mNxi2jk8OERntTBzxU8kqKaCu64h/+1tI33cPeWB6BuO/eMDC\n1KVnDOZfkOtex6SxLcBDjyD+5LOQ9rzMfP9Bcm3pffs7Mf3v30D6+RcsvztFZj+R4Ip9Mcvn5FWy\nT/OJNHs8dYBcFzyxGCqzs8gePgJVIMVN0We93nqG1qF0fBxTzx5AYNs28r01DZV0GhAEpMui5VgT\nYoTFjO99AdrW05G4807LOCef2W+JdCnOkwIso3lQdNg/BZ0sJOTmko77b/YJInH3bNvZ8D6heAlL\nljwZt4w5b1yLc3KI3SO6X/t6zH77W0g8SgzDoq9/I+YSte+RhQr5PQrJBcdxVLLkvamCDom/1smE\nec4cIsekEopidjYDz9gmlGbnMPnI4yjNzgGiiAX4UTG+Q+rkDDz0vNA0LieQnLtFmdyfstOzmJ3N\nIHGM3OO0SA8bn6qRfVtOmvs2EyfHawke9lhRIK/LziagGyxNyRsi13oA5bT5nVOnyPW1IvvN94vG\nd5yZs+ybxOFx8o9on+M+C55/IYr/8yMc+3//CQDwbd3OXuc//SwUp07h5AMPIxZbj9LJE0g89hsI\nPj/W/+W1DsoZoe6f9gcsp1fVwl5r26p6f9Wfzs/39oaRSGQ7/vnV65RL/X2qF0Zrjk0SAUkGdB1a\noWD8l4daKEAvFSF4fRB95L+6211l6OkJIZls7Cz/koMgwruu9rx5JVFv4XdNFIG7d+/Gfffdhyuv\nvBJPP/00tm/fvtJDWnIw8wjORt6MiOAMKbqjUNNpqOkURJ8P6sICiYPo6YWnrx9bb/oX5+3XkPxQ\neSGVPzm+NxIh0sp8juSrOWV6hUJEepnPsSKQuco5yUGZa+Ns1XOlqUnolQo8A4OQwmEEduxE/oXn\nkT/wQlURSKVI/OSMwhPrB14AyjPTqCQSiN/yXwBIg37k/AsRv/07AICe173BIgGiCGzZhtTdd1UF\nnOcPELe9wLbtVZNrycjaq8RnUDx+nEloA1u2QgqGMHrtx6s+xwmiPwB1YcHSF+gkd7Ijsud8Mmau\nH5C8J0J+o1yOsH/RHhSPkcl3LSkoYLgAAtZeNpqlRQOZYUoH1ZQhkYtWS+Tkvn6IgQBZJU2nzb4c\nZqQSrWY3QYr23tdficRPf4KZ//oPePpjVU6HtC/OLtskn2vtCywYE2d7X6V33TAqs7Mon5pkRSBz\nHLVtV/R4IIbD0LJZqJmMRcZoN4bhx8XMLkol4kTo9TLWEah2CC0ePQK9XIZ/8xZ4BwdZDAuVeapZ\nGl9hH58Xcm8vlPl5VObmIHi9yO99DoHt2+EZHEL6vnuQvu8eYmy0bhilExPIPv2kpQg0jZ2cpdQU\nTIbMMRm6prExhs4+h8jdFxZQmZmputawXNNB6+NMTsn1nNJ9G9q1G6m7f4Hc+HE2oaL9nRS+4RGU\njo+jNDXJikB1YQHQdXJNs527ga3bkfz5nSgcOABd15H+5YMAwKT0xfFj7Dqja5pjfiSPWoZZFNSk\nKVAjusGyL+jxw8kSdUUh+0MQmBsyAEQveyUKB/Yj+8TjiFz0MnQ5SHAt46wjB9V1nevtthl8ses8\neZ4ac/k3bUb28d8gff99gK7Dt34Uosdj9tFyclCtVAJ0HYLPx5hKuzsovUfw/aLMXKxQgFYpQ/R4\nTWMYRzlohn0PT28vOaZF0ZRTy7Lz+9l+t7qDMjko13bBo+vCi5D4nx+xv0NnmfL/8Dm7yLH73LOI\nvfNq1jvYddHLmjoW1gL8sQg8Yv3rxosZotcL1OgVXmsIxSLIh1ZfoeOiPayJIvCKK67AQw89hHe/\n+93QdR2f//znV3pISw6WEcZZUWs2d1CA9EyVYDTLGwYG3sEhx8kzDzPGwcbOGD0VMjeJsEMQBHhi\nAyhPnkT51ClyE5ckyyRXCoagYI6M2WjdqBUWD5j9HXbDDgAoHiPuln7D7TK44zTMAygYjnMUuq6j\naFj6OznfeY0Q99KJE6xwA4D0gw8g/eADZNzdUfS85grH701ztYpHj1jMIqjMMmgUWHYEd56GdHwG\nhf3PswlgvULLCaY5DFd8OeRgOY2ZsiQAEH3F5QDIb+gdWofikcMoT0+TItDoBwzUGZs5DrMPi48u\nkWymEqbLZ7VtviAI8I1uQOHgAZROTLBJIQ3BpkYqTuh72zugqyqSP/8Z5r5/BzZcd73leacsPwrm\nvmscayVadNj6SL3DI8g9+4wlW44ZwzgVl91RlLNZKOkUKwJ1XTeNYfjzwxgX7X1kGYEBq9kG38ME\ngEVW+DdtJmM2eu4q8RnimrhQnRHIvs/gEJT5eeSeewaJO3/G+p88A4PMMGnojz4A/5ZtOPaxj5A+\nMmNCDNSOiKj6nJERCF4vlMQ81BxZBFKSSejlMqRIF6RgCIGt25B98gkUDh+qKgJZ3tqgdUItOhjD\n0H3rHRyEd90wc//k+7zYuBycZU0zl+rjM7BjByAIKBw9gtyzz6AyMw0pGkXP5a/B3A++Z8m4VDMZ\nUkyGq4tJCrYY5hARoSsKi1Fo5togs+PHvD9UEglA1yH39lnGIMgy1v3Jn1kWWupBqpMTqJfLgKZB\n8HiqF7xC1mOXXtOpQymNdfFvItdxdg7wsQy2vliA7wk0ikDjWublFm0EQYAU6YKSTEBdWIDY18/u\nbSIn/WVmNIkE64uWe3pIBmAoDDWzADWbhRyNcu6gfN6mc3SIuXDhXAR6h9bBv2UruVcIAoJc/Edg\n23aIfj/KkydRnDiOhUceBkCKQBcuXLhYSqwJd1BRFPHZz34Wt912G26//XZs2dLaBHotQrIVgbqm\nmcYMNW6QfNZZI9RalaaTQd7hzAnUeY/mENIbKRuXw/bNsPhqJtAsAquZwOK4YVZiTB78mzaR/KtT\nU5YJhJKYh5bNQgpHHItYumq/8NAvoczNQe7txdinP4vQrnPh37IV4d17MPpXn3B0PwTIirHc0wut\nUEDhpOmqyQLbjSLTDspS5fbtZW6T7ReBZvHFM3C1IIgihj/0F/DEYui+7JUWkx8zvuIUyfaiofVG\ngeE4DmpSYylGqRV7NRNYyxSGwik0XmmiCBQEAX1vfisEWUbx2NHq49ghI5DCfqwVp42iw4EJBIAS\nVwSaxjAOzKZDViBlb8VAwBopYWNyqCOiZHNcNC3tDSaQMt1GfIcUDEGKRKCXy1AMIymg2hAHAAJb\nCfs1e/t3SAEoCBCDIVJAKgphxM+7AJ6eHngGB6GXyxZXW/qb1jJVorCEsxsTf3ZtMgo+OpbC4eq+\np/KMcT7ZmECniAglSZ1neyzHts9pEcghJkKpE+sgBUPkPFVVTN10IwCg+5LLGEPJL1g1CooHeGfK\n6uKqfGoKuqLAMzjIrp314MQEOrmiUgiC0FQBCHA5sg5MYD1zIIlTqEAQ2H7yb9psYe1odA1j/nkm\n0CGInjeQ0XXd0TkWqI5ecQqLp1FJ5elThDXlFi9pFAQ910x3UPP9fM4ovxBI82OdTM0ohj/4YfS+\n6c0Y+sP3W85PQZYRuejlAICJz34aajoF78h6+I1zxIULFy6WCmuiCHwpgrqQ0ZVejTEFAZs1vbGy\nmUpVZZ3V3T5blbZNnpltdu0JOGDeTLNGVIPHVjQySRFfBNaxmPf09gKiCCWZJE6cHNgK+UZSnFjz\nr0xGL3n3XeR1W51NTahtOkXXRS+Hb3QDRj70f7DhE3+D4Q9+uIp9sMNvLEAs7Dcnr7UmrRTB08+A\n4PWicGA/CocOkvG3XQSaclCtCTkoAPhGRrDp7/8Bg7/ze5bH6XFSnj5FJLflMpPc1h4HzSwk49DK\nZejlMgRZhuDzmWyNMZlzCuK2jM0oAgtcLAm1eW90DIo+n5mFaItyqOXiCZhxKXT1vpYclPaK8sH0\nSg05KMBNapPmwgQ7NobWWY5JxkjYz297EWiTgzImcMzMcGRFycy0WYw4jC945tnmH6KITZ//ErZ8\n5asY/fgnMfh7f4DYb7+PPU0XAvj9Wq8AsMMezl4x9oPHKAL9rAgkzrWp++9F4qc/gVYqmZLu9VZz\nFKeICDVtsqxUKQDA8m8KmhXIB8Y3yvYbeM/7WFEU2L4DvVe+ySwEuLgNUwpapwhkC2PVTCAdk2/Y\neSGpalsO7QJmdl51EdgKKMunKwq0ivVaXE/NIXLFlic2wGKFBEFA98VEgir4/AidRmIjnNxBVe4+\nx7br80EMBKArCtR0miyyiCKLhaBgC6fGPnHKCRT9frZYAxhungajaWfdTXdQkwkUfT5y7qoqkyKT\neIhUVTyEHXJ3N/rf+nZ0GQUfj55Xvwbg7uu9r3uD4z3MhQsXLjoJtwhcpai6odGbo22V2LS2TnOr\n7c0XgTyDoisKWRkXBIt0zQksTNvoj/NtsPbgSQ6ZWLXC4gFS2HkGBgBdZxNGgPSIlCYnAVG0fEbo\nDNJTQfOVFh5+CKm7fg4YDJHjdw6GLH1G7Vj5BjYTSWjmAOmx08plUrRIUs3JlxQOo+eK13Gfe0nD\nws0OVgSW+J5AutLdmDlwAmVlytPTJkNZhwUETCaQjsPM4gpDEISqjDHKtNRiSEJnngWIInJ7n2MT\nWpMJrH8MAmb/VOGItU+znmyTMaDxGSIhnqb9PHYm0CySdSPSoy4TaMszA4DKtLX4Ya/tsvZDNSMH\n1RWFsCCGlLfq+8xMQzEKE09f9WTUv3Ejk7z2XvlGeGIxCJKEwLbt6L7kMksvIl2kKFiKwOqQ8Frw\nUSZwijKBZjEMAP4NYxC8XlSmpzH19ZsQ/9Y3MfeD72HiczdAr1TgHR6pkrSyhSUjggTgmMCeKCLn\nX4iePbsRueBCR7Mgua8PgtdLeqiNib5TnIRln41txOYvfRljn/4s1l/7cYheL5MTK/NzzLZeMXpf\nJYfeVwrB5wckCXq5XFVclY1oH+9IYxUHwOfVVTOBNKqnXQiCwElvbZmf+doLeXz/ml3i23vlmzDy\nkWux+YtfZsegFOkCBAFqNgNdISYtTnJQwLzPFY8dMSSvvVVyVJkVxsY5VWORjO/b48dpZ93NnkDr\ncciUBEb/PB/T06gNoxa864ax7k/+DJ6hIfS99e2IvKy6UHThwoWLTsMtAlcpmFzMYACoAYRFcgNO\nDppKmkxgE0Uga+Ln+j6UdIr0tXR31+xrofDbGtYpM2ffPt9XUissnsK3jq7Um8xLaWIC0DR4h0cs\nuWfh80h8Re65Z1GemcHMrbcAAPrfeTX8G8ZQC0N/+AHIvX0In7unqf1kh38rLQIJE1iZjZNgZG5F\n2Ql9v/UW9L35rQjv3lOzSK0HgRZfvDGMw0p3K/AYmXjlU1NcPmCDItDGSGpZUwoKVBsONZKDytEo\nKQRVFdnHiXthM32pFHS8pQlrVAALTHcoAqVwGGIwBL1UgppOozjtzASK/gBZ2VdVNtGrJ/ujWYF8\n1lh5huYP2kxObBPWWpNffmJaSRo9X9Eey7FG2evKzExVZicPQRQx+vHrsPHvvoD+t1ZnbPKgckpa\nnAC1F6KcwIetA9VsuSDLCBkZjzlDTQCYstHAjur+WkEUCUOk69DyeWiVCpmwiyLpNYxEcPr112Hd\nB/7UUfooiCIbF2Mo6QQ+5lwEAuQ48I1uYBN8MRSC4DPyG4190gwTKAhCTQVGydhPdHyNIEUiRgGV\nZQsUFcYE1v4uzYJJb22S0HpMoKXws+WqCZKE0BlnWgoyQRSrzwOHlgcAkIzfM2+0H9il24DVtEXX\nNPLbcAtTbJzcuWgpAhnrbmcCbUVkzConLzfoB2wWkd17sOlvv4C+N73ZZQFduHCxLHCLwFUKe08g\nY1xsNzQ+3qAyGzd6MRrfjJyYwGZlePQ1vPQlsNVaBNJi1VkOWs0EApxxAxfozPoBbfIuT28fAtu2\nQy+XMX7dx6GXigjtOhe9r3tD3XEHNm/Gpi9+GcN/9uG6r6sF3+goMYuYnIJWKXMh4/X3uSDL6Hvz\nWzH8wQ833ZvDwy7DBJpzB60H7+AgRL8fyvw8Fh4ljnSNZKomI1lyHAM9bumkzpQX15ZJhc/dDQDI\nvUDyE9lktkFfKgB4BwwppNGTAxAzlnqMHWD+XrSfUPD5Hc1UfKNEklg4fBhqLgctl4Pg8zm+lhat\nlPUCzOLUvuDApHALC2S8lGUL1WYCGctnY5zp+V6emW647+RotKZsmQeVe1cMthTge6yaKAKrmEBr\nTyAARC9/Dft39ysvR+y33wuAyBGpfNAOfn/wIe/NMjB2iW/ZMBmxLwDUgyAIjGmtzJP9rTDZc/1z\n20khAZj7iS6ENRyDJJFt6TorVuhY6hW0zYIt5hRsRWADSfDAe95HQpPf9OamPoc5fxpMqurQE0he\nR86X/N69AADv+uocRZ4dpceqGAhWHRv8vcQ7aJ6XvHOormncIpv1eKfHCjWoqTRwBnXhwoWL1Yo1\n4Q76UgTfE6gbK9+Aww1pcAhSOMImAoFt21kvRt3tO0xG6ETGyVHRCbF3vwfzP/wBfBs2VPXU2ItM\nXVGI5EcUSeadA1gROGkygUXaD7ipuscn+porTBt6SULsqnc1Ne7FrLKKHi88g4OoTE+T/5iTYeOJ\n9WLg1BNIDSaaYWacIEgSAtt3ECZGVSF1dzsaaljeYxsHc+AzxiDzq/G6jsp8Y1YveNrpAIjJkK4o\nXP9YY6aWX5XXNQ2CKBK5YKVC4hY49tjyvsFBFI8dRfaZp9l2nI6L0JlnI/fM08g+8xRjabwDA46v\nDWzdRhYIjhyGWiigMhtH/oXnIXg8LJqDQvR3KNvIAAAdkElEQVT7WdQAzyhJdjloxOwJZIYYtgKP\nHnvFY0dJ/pTP3/YxwcYXDkMMBqHl81AXFiB3d1sMgBrBEyPMuJJMQEmnOcm0WaAEt+/A0Pv/GAAQ\nOe8CIvke3QDvwGDNhRIpEkZlNm4JXpZ7ml9UYQylwXDSxYNWCydPXx/KU5NQ5ueADWNNGcMAvDmM\n2Reo6zoz5KKxCs1A6u6Gms0Yv0/UlLYuUg4KmEWYvVhl5kA11Bzdr3o1ul95edNFOXW3pgV9Izko\nXUzwOZhwsT7bdLruAlnXxZcgf3A/ck8/hQAXLcP332r5PKDrLHqChykHNZhAowj0ukWgCxcu1hjc\nInCVQvR4WeC6VsibhhS2/gRBEODftg25p54EAITO3tXc9h3sypuRNPGI7N6DyO49dbdP5aCmM2ig\nZhFGTUKK40eh6zoEQTCLQAejh/C5exDevQeFQwfR89rXL3khxsY5sh6V6WmUTp5krE8zBctiQItA\nvQ1jmHoI7jyNyfHC5+5pOHmr1RNIFxV4SZZWyJtFiW1Sx8PTHzPDvp96EnqlAqk72tCFEiD7hWbO\nKakkPL19DVlAgJgMZX79CDK/JnbsTvIyAAidswu49ZvI79tLZKuoveIvhULEBv7wIZz6+tdQSZCi\nrfsVr3LOK+yOojIbJ2ZINZh+np1gTI+dCTTGTgsjT3//ouVkgiDAMzCI0vgxVOIzZB+zMTYuAolD\n6DqUTpxA9umnakqmuy602uDXilmhsLA1Rh9Zo/5lHkwOevIEYXbzOQheb9MLXxSyzRymkQEShZMr\ns5bLQa9UiINsE/2WbAxdXShPkoVCT7lsRvU00UvbCGa2a/NyUMBYYGvh2LPHPzi5gwLVzst2ky+A\nc+dNJrl+vupjVZAkrPujP2aLRmwsVHptxESQ91cz/ubCk9ETSBcS6jiDunDhwsVqhCsHXcUwzWEy\nZuC0A6MSOe8C0vsQCCBy/vlVzztu20kOWsdMo1XYe18aSUEBIpkTjUwxZW4Oai6HyswMBFl2XPkV\nRBHDH/wwtnzlJvS+4Y2LHnOzYBPJyZNcr9PSrgI7GsOwPtHaBVYjRC58GQLbdyCwbTtxqGt2HLV6\nArn8MsVgAT19vQ2LEsoGpu67B0BzDrcUTJ5lTMbMjMDqCRwFNTaihYRvzLmP1NPbi8D2HdDLZcz/\n6L/J2OosNnS//BIAQP6FfSQIfd0w+t/6NsfX0tB6JTFvyuBsv6UYDJIQ63yeyc5km+mL6PNZrgtO\npjDtgNnpx2esYfZNKA0AwGtIG2mh7TRxbxWsCMxw18QW5NWBTZshyDIKhw5igS4ADI+0XDR7eq1Z\nk0qTRSBdLOEX35qJRHHcFhcTodAFgt7ets1JeDBjGHtPYAsOsc2AuVtTg6QcPQ+s27csDgiCYwwS\nH9FiLljUXiCz7yczlD5dsx8QqJaD1sq1dOHChYvVDpcJXMWQIhFU4jNQMwtmv57DRKHrwosQOvsc\nCLIE0dPcBI2u5quc+xvLGOtgEUhvxqYzaO3JgyCKCGzbjtzTT6Fw6CCT9/g2jDU0qllOUOv60okJ\nLgJg+eWg5oSs/SJQ7u7G6F99ovlx+Cgj6dwTyOff0UDlZia3wdPOQPrBB1A4SFxXWzHt8QwMoHjk\nMCkCd54GhZnC1GECN2yA4PFAr1QAmLl1Toi+8nIUDh5gxWW9Ff+uSy+DFO1G8ehRePpjCO/eUzt3\nsq8fBZBerloyOEEUIXdHoSQTKBhOvE5yv+DO07Dw8EPk36efUXN8rYBFacTj5oJDCzJT3+goMo/9\nmkm2W83GdAJvlEOPvVaYQCkSQeSCi7Dw8K8w+51bAQBhw6CmFdBCW5mfh65pTeersusilxVYSTZv\nhGTZFrfg0klTGMBcjKglB22FsawH1sdHi8AaxRefCRg662xHmTefO8jyH1u4l5ly0hRj1Z2KQNkw\nTlMzGfLaJuIhXLhw4WI1wmUCVzH4LKhGtvlSINB0AQgYRYUoQi8VGRtiMoGtSaMct88Ch2kR2JgJ\nBIDgjp0AgOxTTxIZGRo7Vi43qDQ1v28vtGyWmIo0MIRYLGjxZSkCmyisOz4OxkiS39MuBxVDIUCS\noBUKpmFCE8xUYOdOi4zMSf5bC4yxmqVMIJU1154ACrKM0DnnNvV54T3nWZiH4Oln1t6uICB89i70\nv/Xt6L7k0rosLV9I1IqIADjGkMU/VBeBEU5WGd7TnBqgEai5jJJIcHLV5otAKp+loPEqi4GVCaTx\nEK3JH3vf9GaI3OQ+tOvcOq92hikHnSP9r4pC+ihr9KBSmHJQngk0GM0Wv4dlwYX2i3agHxDgjL1q\nyUGDnbnm2OWgrPiKWM9dQRAQe/d74d+8pSrvlEL0eMnvqqosT7OVfcqb1NSLthFEkRXb+ef3AVhc\nPIQLFy5crBRWD73iogoylxVYTw7aDqhduZrJQM3liPHDEshBaZGgNiEHBYDI+Rdg9ru3IfvUE+yx\n7ktfsejxdBJyby880SgqxkQhsGXLklt625lAXVGgl8uAINQ02lmScbBi1GACs1ZjGEEQIHd1QUkm\nmZ17M86LcqQLkQsvQubXxKU0cuGFTY+J9ejM2uSgkfrH8eD7fgeV2Ti6t22pe1wKkoThD34Icz/8\nAaKvvqIp99xmQCfs9ZhAgBRjRRzi3lf9+cHTTkfXyy+GHO2BpwM9YeRzDAfMZKKtTErv+lFiXmKw\nPLUkt63AZAKzLI+xFSYQIMY+o3/1CaTuuxee/n7Wi9wKeHdQ1qvZRAHGzEcc5KBOKo+626KLhOk0\nAHL9WWxQPIXJBNaQg3aKCeTYO8AsAmUH992e11yBntdcUXd7np4elLJZFI8dNbbf/LFBTWD0UpEZ\n0NT6TTwDAyhPn2ILlW4/oAsXLtYi3CJwFcN0CE2bkqEWJzz1IFYVga0Zw9SD4PNZgpH1JlkrOdqD\n0Flnm2Yl553v2A+4khAEAeFtW5D8DSlUaT/bUqKqF4/bn8uZKSUG6DjIZJDFBnDMihQhRSD9DX11\ncht5DLz7vRAEEeHzzm+J1bb3BCp1MgJ5SOEwxj51A2KxCGZnM3Vf6103jOE//VDTY2oGZiExz8nP\nakdPAISZcNo3gihi6A/e39HxURmvkkhUucA2A0EQEHvH1Vh49BH0XvmmpnsJ64EeZ0omY0r+2ohc\n8Q2PYPC917Q/jq5uCB4PtFyOOY02w3g75QQqifaKWTMSYYHJmjsRDwEAUoj2BFrloGwxL1B/Ma9Z\nsKgUxgQ2t4BTc3vRHpROnGiLCRQEAVI0CmVujhmS1Vp09W/chNyzzyD7xOMAWuthduHChYvVAle/\nsIpBb/Kl4+OAqjYlN2oFpkkBudF30hhGEAQuKzDPMYGNV5AH3nsNpK4uSOEIYu96z6LHshQYet1r\n2b+DZ9SWB3YKdmMY+v9GzGrHx2FjCJxiAxizomkAAH+TRaAUDmPoD9+P8DnNOdxSsN612bg1I7DN\nieRygbI2lfiMGTHgUNDwxUWnTF+aAWU8lcQ862FrhQkEgK6XX4z1H7mWybwXC8YELqSb7sNbCgiC\nAI9hEJR9lsSMNCPFdIzmodfdBqYyVdvimMBKHalwO2DGMMZ1m4JFRCyiD5kH68NbWIBWqZDti2Jd\nN+F6sB8LLRfWhiSUFYE1mEB7i0KgQ8e3CxcuXCwnXCZwFYNOpimj0ukIBIlN6LPQSiXopRIEWe5Y\njxmRmy5AzefYinJTGWN9/dj09/8AXVFannQuF3rPPw+jn7weldl400XOYlDFBHZYltX8OAKAILBe\nUtWBCQyfuxsLD/0SAJmUOQWrdxJSOALR7ydxKtlsR2XNSwm5t48YTDD5agSix+P4OopOTfKbgej3\nQwyGoOVzLFx9pc9HWgRTpkeKRju6MNYK/GMbUT55AjkqCWzit2E9gVxOIDNDaXHRguXVxWcAUSKP\ntRB6Xw/s3mB3B+WifjoB0eNleZQVI25HCoXb7q/z2ULkW8mQBDh3V1U13u9cRPo3WovARtEmLly4\ncLEa4TKBqxi+DWMWs4zAtu0d3T7LCsxzOYRd3R2TF4qc9KnVniLR51vxCWcjBDZvRteFFy3LZ1UX\ngctvCgMQ2SELki7kq3oCAeJOSQu/yDLsH0EQ2OS3PBtvyZV0JSGIoqWXqCbrMDYGSGSS7xvbuBxD\nY6ByOOraupxFqBOk7iiRmhtYyYBue49jMxEYdLGEl1mazHVriyVSKASpuxt6pQK9VITU3d0woqJZ\nUCauOiKCGhh1ToFA2bfSyRMAsKhFI98Grr9TklovrG1FdK1zUgqHEbmA9C2Hztm17ItxLly4cNEJ\nuEzgKobo88E7sh5l4+bY6SLQlCYtDXvCm8OYPUXtB5u/lCF4ycRXL5Wga1rTbqtLASkYhJbPEbMi\nmh3H9amJXi82fOoG6KWSY57XUsAzMIDSiQlUZqY5E6XO9c8uFTyDQyhPEZatVm+bHO3Bli/fiPL0\nNPybmndN7QS8sQGUT5o9VittgCEIArwDgyidmCDjWcFsNrsCwL+lsfupXQ6q67rZB9fGtde7bhgF\narwz2jlFApN9291BOxBLY4fU3Q2cmkLpJPlNF1UEcv3j3qF1LTOK/k0mwyf6/ZDqLLKt+8Cfov+q\ndy8qp9WFCxcuVhIuE7jKQTOsxGBwCYpArkhb6FxGIIXIbV9rw13QhQlBFBkDopVKHQ9tbgV0glgx\nQpIdA5V7+5atAATMFfzCoUOAptU0UFlt4CXe9UwspEgEgW3blj0v0zti/Q09/Svvgujh9tlKMoH+\njZsgGPJd34YxRymvHYLXSxwoy2Vo5TJZ1KlUyEJKG7JW/hzzb2jd5bQWJC4sXtd1ADAWnzrfi0yP\n++L4OPnsRRSBot8P3yiRhPa/46qW388Xgc30+Xl6elZMjuzChQsXi4XLBK5y9L3tHeh6+SWQwuGO\nrzjyRVonTWEoTGOY1uWgLqoh+v1QSyVoxSLU4sr0BALmb0ht1DuRK7lYUIYqv/8F8vcaCW72DY+w\nf3fS+bdT8A1zEkdB6FgEwWLg5djI5ZbH8hBkGWM3fA6z3/suel7z2sZvAGEyxVAYajoFNZeDrhBX\nz3YLH/+GDUgb/w5s79wioSDLEHw+UqSWShCMnlvoOnEkNuTJnQBdCCnQSJlFBt6v++CHoaZSbS2a\n8m6gXRdfuqhxuHDhwsVqh1sErnIIggDvUGcNYSgsRVoH4yHY9mmRmTeLwFYs5l1YIfr9UNNpYsqy\nAkHxbBzGYgQtAlvtZVoKeFlMBGEnO5WnudQIn38+go88jPwL++DfvGWlh1MFLyevk3t6l52JdELo\nnF1IP/gAul91+bLEs9SDd3AII3/25y29RwqFoKZT0AxDLqD9SISul10MXVHgHR7pmAMrhRQMQimV\noObz5NqzRNdwe7zCYuMWvLEBoE2DHEEQMPIXH0V5agrhc3cvahwuXLhwsdqx8nd0FysGkSvSloIJ\nFGkwcmaBk4O6PYHtwgxqL3KRGyvQE0iZQCoHXQVRDPZetbXCBIoeL0b+8lpo2eySu6i2A+/gIHFe\nLRYR2LI6itTAlq3Y/JWvLms+ZifBAuOzWSavbFeGL8gyoq96dcfGxkMMBIFk0jCD6TUdnoMdLgKH\nrJLj5ZSROyF05lkInXnWio7BhQsXLpYDbhH4EgYfXKz6qDto5yb0HqPXQ0kmHfPkXLQG3iF0KXpz\nmh6H0S9UYXLQlS8C5Z5eyL29UBIJAIDXZhW/miEIwqosAAFSZIx85FooyQRC55y70sNhWKsFIFCj\nVzq8+n5/MxM0Z/l/p6/h9gUc75AbvO7ChQsXywHXGOYlDN6pzjSG6ZwclNprV+Jx6OUyIEkWe3cX\nrcFSBDKr9pXrCVwsi9FJCKKIyAVmHEXkggtWcDQvLgS2bEXkvAuaMj5x0RimIVcWlcQcAEDuW33M\ntWSLiTAdnjtbBIoeD1u0kfv7XbdNFy5cuFgmuEzgSxgSF1ysV4hBQScnI9T1jRmIhEJregV/pUFN\nYLRCAVqOTMxWglkVbZO01SAHBYDeN7wRyvwcIhdctCacQV28NEEX37RcDpU5UgSudP6iEyjjTxec\nlvKaM/qxv0bmsUetOX8uXLhw4WJJ4RaBL2GIoRAEWYaWz5F+D0GAp4MB21Kki4Rcq6r5t4u2IVqM\ndqi8dvl7LGVbv91qkIMCZHK67o8/uNLDcOGiLvjFN2V+HgBWheuqHaYc1MYEdrgnECD7JPqqyzu+\nXRcuXLhwURuuHPQlDEEULZlbcm9n3f8EUbRkny3W9e2lDksP5wpGbth/x9Xaz+bCxWoEjQJRUkmT\nCVyFRSC73hiGMG7WqwsXLly8uOAWgS9xeAfNsOXF5jM5gWcW+Uw0F61D4g0l8isXuWGXrnkHVj5A\n3IWLtQIaX1KemYGSSgKiyPqnVxN4F1Ng6YxhXLhw4cLFysAtAl/i4J3YlqIvxcNlHHrdInBRMI18\nsuaEbAmkWY0giOZlQ/B6VySw3oWLtQp6nS2NHwN0HXK0p6Ph650Cf70BiAwdWBo5qAsXLly4WH64\nReBLHB6OCVwKuSafYeUWgYsDZf2UVGrF3VapBDR01tkr8vkuXKxVyD09AGeQ5RtdnXEmIte7CADq\nghEj5Mq/Xbhw4eJFAdcY5iWO4M7TIUWj8G/ctCSN+f4NY+j9rbdASSbh5VhBF62DyrAq8Tj7e6Xc\nVkc+ci1S996D2DuvXpHPd+FirUKQZcjRKJRkEgDg37hphUfkDCYHNVQHlfgsAMATc+XfLly4cPFi\ngFsEvsTh6evDli/fuKSf0f+Wty3p9l8qoDIsJUEcBVfCGZTCv2EMQ7/3Byv2+S5crGXIvX1mEbhp\n8wqPxhksyiKbhVooQM1mIHg8kLs7lyXrwoULFy5WDq4c1IWLNQK7IcNKmMK4cOFi8fBv3gKA9NSu\n2iIwbPYEVmaJ+sATi1l6gl24cOHCxdrFqmcCdV3HZZddho0bNwIAdu3ahY9+9KMrOygXLlYA9iLQ\ndelz4WJtInbVuxDZvQdSOLxqz2MxEAAEAVqhgPL0KQCuFNSFCxcuXkxY9UXgxMQEzjjjDPzrv/7r\nSg/FhYsVhSDLEHx+6KUiAECKrI6QdhcuXLQGQRQR2LZ9pYdRF4IoQgqFoWYzKB47BsAtAl24cOHi\nxYRVr+vYt28fZmZmcM011+D9738/jh49utJDcuFixSBHzX4c34jrturChYulgxgmLGXhwH4AgHfd\n8EoOx4ULFy5cdBCrigm84447cPPNN1seu/766/GBD3wAb3jDG/D444/jYx/7GL7//e/X3U5PTxCy\nvPpylwAgFnPttV8sWInfMnnaTszOzAAABs7cgah7PHUE7nn54oH7W3YO0/19qExPozRxHAAwdM5p\niCzj/nV/yxcP3N/yxQP3t3zxYFUVgVdddRWuuuoqy2OFQgGSEaR73nnnYWZmBrqu17XGTybzSzrO\ndhGLRTA7m1npYbjoAFbqtxRGNwL/f3v3FhLlvsZx/Ps6ZZrjsu2WSFM7LWNZYRF2oKwNO8QIylLR\nsraUQRQeakOWCprhsZM3mpXZlRlGJ/Kiq4KKDlQknaYMojIoC6Ki1FbazOyLtZe1XFYK2qvO73P3\n6s2PeXxm/o////sOFwD43dtPf0+9QH05eKiWvcv450jA9v8Lg9bh/+D3n/T6qpaDh2o5eKiWA8/3\nhvZ+fxy0vLy8Y3ewoaGBgIAA074bTcRsnr9+uY/oz6f3iYj0BfeAL8c/3Uf54+bubmIaERHpTf1q\nJ7Ar69atIyMjgwsXLmCxWCguLjY7kohpho0ezej/btZ3dYlInxsW8OW+Y8/ffjMxiYiI9LZ+PwT6\n+PhQWVlpdgyRfsNr8hSzI4iIC/j6QTA+8/5lYhIREelt/X4IFBERkZ/P4uPDiH8vADcLHsFjzI4j\nIiK9SEOgiIiI/I1hGIxM/I/ZMUREpA/0+wfDiIiIiIiISO/RECgiIiIiIuJCDKfT6TQ7hIiIiIiI\niPwc2gkUERERERFxIRoCRUREREREXIiGQBEREREREReiIVBERERERMSFaAgUERERERFxIRoCRURE\nREREXIiGQBERERERERcyxOwAg53D4SAvL4+HDx/i7u5OQUEBY8aMMTuW9EB7ezvZ2dk8f/6ctrY2\nNmzYwKhRo1i/fj1jx44FYMWKFSxatMjcoNItS5cuxdvbG4DAwEASEhIoLCzEYrEQERFBamqqyQml\nO06ePMmpU6cA+PTpEw8ePGDPnj3s3LkTf39/ANLS0pg5c6aZMeUHbt++ze7du6murqaxsZHMzEwM\nwyAkJIRt27bh5uZGeXk558+fZ8iQIWRnZxMWFmZ2bOnC17V88OAB+fn5WCwW3N3d2bFjB35+fhQU\nFFBfX4+XlxcAFRUVHe/H0n98XUubzdblekd9OfBpCOxjZ8+epa2tjaNHj3Lr1i1KSkrYt2+f2bGk\nB+rq6hgxYgS7du3i7du3LFu2jJSUFNasWUNycrLZ8aQHPn36BEB1dXXHz6KjoykrKyMoKIh169Zh\ns9mYPHmyWRGlm2JiYoiJiQFg+/btxMbGYrPZyMjIICoqyuR00h0HDx6krq4OT09PAIqLi9m0aROz\nZs0iNzeXc+fOERAQwPXr1zl27BhNTU2kpaVx4sQJk5NLZ51rWVhYSE5ODqGhodTW1nLw4EGysrKw\n2WxUVVXh6+trcmL5ls61vH///t/WOzabTX05COg4aB+7efMm8+bNA2DatGncu3fP5ETSUwsXLmTj\nxo0d1xaLhXv37nH+/HlWrlxJdnY2zc3NJiaU7mpoaODjx48kJyeTlJTEjRs3aGtrIzg4GMMwiIiI\n4OrVq2bHlB64e/cujx49IiEhAZvNxokTJ0hMTKSkpITPnz+bHU++Izg4mLKyso5rm83WsXM7f/58\nrly5ws2bN4mIiMAwDAICArDb7bx588asyPINnWtZWlpKaGgoAHa7nWHDhuFwOGhsbCQ3N5fly5dz\n/Phxs+LKd3SuZVfrHfXl4KAhsI81NzdjtVo7ri0WixYmA4yXlxdWq5Xm5mbS09PZtGkTYWFhbNmy\nhZqaGoKCgti7d6/ZMaUbPDw8WLt2LYcOHWL79u1kZWV1/LcT/qj1hw8fTEwoPXXgwAFSUlIAmDt3\nLjk5OdTU1NDa2kptba3J6eR7oqKiGDLky4Ekp9OJYRjAl17s/BmqHu2fOtdy5MiRANTX13P48GFW\nr15Na2srq1atYteuXVRVVXHkyBEaGhrMiizf0LmWXa131JeDg4bAPma1Wmlpaem4djgcf2kuGRia\nmppISkoiOjqaxYsXExkZyZQpUwCIjIzk/v37JieU7hg3bhxLlizBMAzGjRuHt7c379696/h9S0sL\nv/zyi4kJpSfev3/P48ePmT17NgCxsbEEBQVhGAYLFixQXw4wbm5fliR/9mLnz9CWlhbdQzZAnDlz\nhm3btlFZWYmvry+enp4kJSXh6emJ1Wpl9uzZGgIHgK7WO+rLwUFDYB+bPn06Fy9eBODWrVtMnDjR\n5ETSU69fvyY5OZmMjAzi4uIAWLt2LXfu3AHg6tWruodsgDh+/DglJSUAvHr1io8fPzJ8+HCePXuG\n0+nk0qVLhIeHm5xSuuvGjRvMmTMH+GMXacmSJbx8+RJQXw5EkyZN4tq1awBcvHiR8PBwpk+fzqVL\nl3A4HLx48QKHw6H7yQaA06dPc/jwYaqrqwkKCgLg6dOnJCYmYrfbaW9vp76+Xj06AHS13lFfDg7a\nkupjkZGRXL58meXLl+N0OikqKjI7kvTQ/v37ef/+PRUVFVRUVACQmZlJUVERQ4cOxc/Pj/z8fJNT\nSnfExcWRlZXFihUrMAyDoqIi3Nzc2Lx5M3a7nYiICKZOnWp2TOmmJ0+eEBgYCIBhGBQUFJCamoqH\nhwcTJkwgPj7e5ITSE1u3biUnJ4fS0lLGjx9PVFQUFouF8PBwEhIScDgc5Obmmh1TfsBut1NYWIi/\nvz9paWkAzJgxg/T0dBYvXkx8fDxDhw4lOjqakJAQk9PKj+Tl5ZGfn/+X9Y7ValVfDgKG0+l0mh1C\nREREREREfg4dBxUREREREXEhGgJFRERERERciIZAERERERERF6IhUERERERExIVoCBQREREREXEh\nGgJFRERERERciIZAERERERERF/I/UGykTrTfNJQAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plots = {\n", " 'Abseleration': abn,\n", " 'Absity': aby,\n", " 'Absement': abt,\n", " 'Displacement': d,\n", " 'Velocity': v_t,\n", " 'Acceleration': a,\n", " 'Jerk': j,\n", " 'Jounce': s,\n", "# 'Crackle': c,\n", "# 'Pop': p, \n", "}\n", "\n", "colors = ['C0', 'C0', 'C0', 'C1', 'C2', 'C2', 'C2', 'C2']\n", "\n", "fig, axs = plt.subplots(figsize=(15,15), nrows=len(plots))\n", "pos = 0.01, 0.8\n", "params = dict(fontsize=13)\n", "\n", "for i, (k, v) in enumerate(plots.items()):\n", " ax = axs[i]\n", " ax.plot(t, v, lw=2, color=colors[i])\n", " ax.text(*pos, k, transform=ax.transAxes, **params)\n", "# if np.min(v) < 0:\n", "# ax.axhline(color='k', lw=0.5, zorder=0)\n", " if i < len(plots)-1:\n", " ax.set_xticklabels([])\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "
\n", "\n", "© 2018 Agile Scientific — licensed CC-BY" ] } ], "metadata": { "kernelspec": { "display_name": "Python [default]", "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": "3.6.3" } }, "nbformat": 4, "nbformat_minor": 2 }