{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# What is Maelstrom?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Maelstrom is a code that enables the modelling and analysis of binary light curves with a pulsating component. When a pulsating star is in orbit with a companion, the time taken for the stellar pulsations to reach us changes over time. This information is encoded in the phase of the pulsation, which, for the coherently pulsating $\\delta$ Scuti stars can be used as clocks to infer the position of the stars throughout the orbit. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This method is known as _phase modulation_. Phase modulation has been used for a wide range of stars, most notable of which being pulsars, whose highly precise millisecond level precision enabled the detection of the first planet. For intermediate mass stars, phase modulation is useful for the A/F type pulsators to infer stellar mass companions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Maelstrom code contains routines for forward modelling these orbits. In a forward model, a light curve is generated from the orbital parameters and fit to the actual light curve data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Getting started" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import corner\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import exoplanet as xo\n", "import pymc3 as pm\n", "import lightkurve as lk" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%config IPython.matplotlib.backend = \"retina\"\n", "from matplotlib import rcParams\n", "rcParams[\"figure.dpi\"] = 150\n", "rcParams[\"savefig.dpi\"] = 150" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this notebook, we're going to inspect and fit the time delays for a well known Kepler $\\delta$ Scuti system, KIC 9651065. This tutorial assumes basic working knowledge of PyMC3. [A great introduction to this can be found here](https://docs.exoplanet.codes/en/stable/tutorials/intro-to-pymc3/)\n", "\n", "Now, let's first download the light curve." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc = lk.search_lightcurvefile('KIC 9651065', mission='Kepler').download_all().PDCSAP_FLUX.stitch().remove_nans()\n", "lc.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ ".. Note::\n", " Lightkurve automatically subtracts the Kepler zero time (2454844 days), so all times are reported in Barycentric Kepler Julian Date (BKJD). _If you want to include additional data, you must work within the same reference time_. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, we pass the time and flux data into `Maelstrom`. If the `freq` argument is not specified, `Maelstrom` will automatically try and detect some good peaks to use. Be warned however, this does not always work and you should always check which frequencies you use! I have set the upper limit on the peak search to 40 d$^{-1}$, since there are some Nyquist aliases. We can tell they are aliases as their time delays will match the Kepler orbital period. Neat!\n", "\n", "`first_look` will subdivide the lightcurve using the old method, and make some diagnostic plots. In order, these are the light curve, the amplitude spectrum, the extracted time delays, and the periodogram of the time delays. The frequencies are colored by their amplitude, and the orange line is the weighted average value. We see a nice peak around 272 d in the last panel, which is the orbital period of the system." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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7eL/6ZbvfKcrUb1N7WzSoLzkZ4g01mB6dqS/RBQ8AAI2yeuOIHn+pTxsGUs2uCjC5jBQH9bs725TtLGTqi0x9AACAhiCo30IisXgNxLK6B2LZ38OZMn3qRzckiWT9xorfZZHDYLkAAEy8oVRGT60aUG9/Wk+uHCC5AYjwkaHC846Z6p7RrmznzHyZkakPAADQEAT1W4hFUvUHRooDw/FM/WjgeFSf+rGgPoPlNtZgOrmbnU1k6gMAMOHWDxT+36Yyrk1DdH8H5KWG80+zHTM1q7O9KFOfoD4AAEBjENRvIW1lut+pNFO/s83UZlbUlQ/96jdW0kC5Epn6AAA0QjSoL0m9/XTBA+R4NKjfPkM9XcVB/fYRgvoAAACNQFC/hbRFIvFDqayykdvFByruUz/YRke0X/0MQf1GGoxcgJkRGbR4I5mCAABMqKy7Nsb60e+lX30gz1KF7ndyQf1M+4zC/MxIM6oFAAAw7RDUbyFmUi4E7JKGIl3wlA3qZ0cH9YsHyyWo30jRrpG2nV34kUSmPgAAE6tvKKN4LsPgSFZDKS6sA5KkdCFon+2YoZ7OdmWjQf00QX0AAIBGIKjfYmbOKHyk0UB+fyqrrvY27Tq3Wz0dbaUz9dtGB/XpU7+xBiOfzbzNuvLPN9KnPgAAE2p9iaz83n7+BwOS1JYu7n6ns71N2Q4y9QEAABqto9kVQH11d7ZrMMzQj/arPzCS0cG7bqktuzvVN5LW31b35eels4UgMpn6zRftfmdeNFOfoD4AABNqQ6Q//fY2y58D9Q6ktP3crlKrAdNGNBM/H9SPZOq3kakPAADQEGTqt5ieokz9IFifybrmdHVoy+5OSdLsGR2a0R4sl3VXZMxcdbQF5QT1m8Pd6X4HAIAmSGWy6hsuXFjfccuZ+ecbB9KcDwGS2jKFTP1Me5c620yZ9q7IfIL6AAAAjUBQv8X0dLXnn+cy9QdSGb18bnfxch3BRx//gVoYKLdQxo/YxhlOZxVt7WhQfzCVVSp6BQYAANTNxsHCxfPOdtO2m8/IJzm4pA0VDJjrzjkTWlvbqEx9Kxooty1LUB8AAKARCOq3mO4ZkaB+Kqusu/qG09pp85lFy82eEfS8FO1P3yTlEvTpU785ov3pS8Xd70jSxmEG6gMAYCKsj3S9s3lPh9rMNLen0FNl70D5O+Y2DKR0/7Mb9ejyTSREoCVl3dWeiQb1O9XRZsXd75CpDwAA0BAE9VvMzM42WeT14EhWvf3pfHc7OZt3jQ7qd7SbzJL61J+4+qJYtOudjjbTzM52zeosXKihX30AAOrP3YsGyZ0bdlm4xazOfFlvf6psJv7y3mGlMq5NQxmt2khgE60nlSkO6mfau2RWHNRvJ6gPAADQEAT1W0ybmWZG+tUfHMmob2h0dvecrg4Np7JFWfgdkUA+feo3R3SQ3O7O4HPcbGYhqL+JfvUBAKi7oVRWI+nC+c7mYYZ+NFM/lXH1l7ljLtftoVRZVz3AVJPKZNUe6VM/2xYE8zME9QEAABqOoH4L6ol0wbNxMK1MJjkov2EwNSpTP/+coH5TRLvf6e4IPsc5MwsBBTL1AQCov2jXOz0z2jQjHFyos72t6OJ6qS54MllXKnJOtWEwrSz966PFpLLxTP0gmJ/toPsdAACARiOo34Ki/epHb/8eSGX0Ul8hu2bjULqiTH361G+caPc7M8NM/TldkaA+mfoAANRdNLN+bk9n0bwteoq74EkynCruqzDr0qZB/mejtaQyXhS0z3Z0SZI8EtRvZ6BcAACAhiCo34J6It3vRMPxz6wf1NrIj9b+4YzSkQ7zo5n6dL/THEnd75CpDwDAxMm6a8Ng8SC5UXMj/er3D2c0kh492NBQanTZ+jEG1gWmmnQ2q/Z0dKDcGUWPEpn6AAAAjUJQvwVFM/Wjnukd1NrBwon26D71C4cDQf3mGIwEBbrDAXKLMvUTxkcAAAC12zSYVu5Ux6z4YrqU646ncF60PqG//KHU6P/PG8jUR4tJZ1xt2WimfhDM986Z+bL2TPkBpQEAAFAfBPVb0MzONlmsbN1gSuuH01o7WPghmslKgyNk6k8mQ+lCUGBmRy5TPzJGAt3vAABQV9Hg+5zuDrW1FZ9FmVlRlzxJg+UOJWTv9w9nlEooB6aqdNbVni505entQfc7ivWpn3Q3CwAAAOqLoH4LajPTzBnFH+0z6wclSQOpbFEXL9HuXKJ96kefZ10M9jYOqUxWS1f0a+mK/qLujpIUZ+on9KlP9zvAlOHuuumx1Trv7uf1XO9gs6sDTBurNo7okRc2aeWG4bEXVnE3OXNjXe/k9ETughwYqaz7HUlaT7Y+Wkg662qLdL+T60vfw771pSCoP0xQHwAAYMIR1G9R0R+f7q5n1xcCStFs/WisvjhTv3h7ZOvXbuWGEa3tS2ltX0ovrBsqu+xg0UC5Yfc7M4sHyuWWZmBqWLpmQL95fI2WrOzXdY+uanZ1gGkhk3U9s3pA/cMZPb16MLFbnKhUJluUeT+3uzNxueh4RYMjo7cZHSi3M3I+tSGhqx5gqkpnXW2ZSKZ+GNS3eFB/jO8dAAAAxo+gfouaFQnqrx1MaTCSMRMN6kdFs/PbY7eeE9SvXTSgsKavfD+jRQPldoweKDeV8cRb/AFMPotX9OWfryWwBzTEUCqr6CnLqo2jB+3MZF2PvLRJT64Z0IZIln5nu6l7RvKpcXS8olTGlYrceefuRUH9becUuiJZP8DFeLSOdNZlRZn6YTC/s3DMW3qYTH0AAIAGIKjfouZtPkOzu9o1s7NND6/clC/frKtd60oF9SOZZWamaFx/jF5jUEYqU/gxn8542YHzogH73EC5s2a0F30WdMEDTA1LV/fnn3MxDmiMeGb+6o0jo4Lqf3q2Vxf8ZbnOufM5Pb+ucCfj3J5OmcVHJQp0tltRwkN0TKLhdFbRd5i3eSFrOZXxxO56gKkonqmf60vfOul+BwAAoNEI6reozvY2vW7HzbTnTptpZX8ho2bLns7SmfrtxT9kOxgsty6iQX1JWrOpdMZuNFN/ZtinfpuZNov2q58wQB+AyaVvOK3lkf68CXAAjRHv234k40V95kvS46sKF9yiAfdS/elLQbJDtAuegUgXPPGud7o62jS7q5DZv547ddAi0hmXRQbKVefM4DHS/Y6lh4u+EwAAAJgYBPVb3HC6+Db0Lbo7NZTOqj+hP9iOWJc77QT16yIVu81hXf+IsiXaszhTv/D1nBMJDmwaJlMfmOyeXDNQlLmbzjp/R4EGSBqwduXG4gFzN4UXxzfv6lB7JDN/8zJBfam4C55ov/pDRePhtI3a1oYB/m+jNcQHys1n6Bd1vzOiES5kAwAATDiC+i2uP/bjdotwALi1g6P7mI33ox99nSYYVRN3H5Wpn8lKvSWy9qID5XZ3FIIHm0UHy6X7HWDSW7p6YFQZ2frAxEsK6vf2p4uCjH3hxfHtZxeyi2d1tauzvfxpcU8kqB/N8B9KGOR+bk9hwN2Ng2ku6qElxPvUzwX1rWtmoSyb1vAId6cAAABMNIL6LS56e/jMjrZ89ne8C56ONhvVjyyZ+uOXcSlpfLy1faN/7Lh78UC5RZn6BPWBqeSJSH/6OfSrD0y8eJ/6OdEBc3OZ+ttvVsguLtf1Tk50EN2xMvVnz2xX7hqBKwjsA1NdENQfyr+2GUEw3zpmFi03PDgoAAAATCyC+i1uIPLjtmdGu2Z2hEH9WKZ4vD/9eBlB/dqkSgTx1vWnRrVpKuNFXSXlsv0kaU40U5/ud4BJbf1gSiv7Rt8NRaY+MLEyWddIuvCPdJtI0H5VOGBuKpPVUDqrNpO2nVXI1N+8e+ygfjRTP5XxfPd6SUH9NjPN6S5k69OvPlpBOpstytRvy2XqR7rfkaSR4SEBAABgYhHUb3HRvvNndbapKwzqr0vI1I8jU3/80pGud9rbLN+m7kFgP2owXZxdSKY+MDUldb0jkakPTLTo4JwmaYctC0H74XRWGwfT6gvPi+b1zMif+5hJm1UQ1O9st6Jzo8GRrNxdw5EEiq7I/+5o9n/vQFqedOseMIVk0mlZtnAemgvqt83oKlouRaY+AADAhCOo3+Ki3e/0zGjPB/VHssVdvSRl6tOn/vhFB8md0WHaanYha2/NpuJM3mh/+u0mdUbavzhTP7lrAQCTQ1LXOxKZ+sBEi2bMd3W2aWZne1FgfeXGkfxg89tvVghCzuhoU5uNPg+KMzP1RLrgGRjJBINgF91lV5i/RaRf/eFUVhvoggdTXGakOAO/PexLv21Gcfc72REy9QEAACYaQf0WV6r7HUnaEOnGhUz9iREdJLezvU1bR4L6GwbSRUH/okFyO9uLxjiYM7Nwyz+Z+rjn+Q36j1ue1JWPrGh2VRDj7gT1gSaJ9qefC65vO6fQLci6vlQ+sB4dJDerys9xuiNd8AyOZIouJLS3FZ9PdXW2FV1UWLF+uOL3wcQys5lmdoaZLTWzITN70cwuMrMdatjWu8zsZjNbY2YpM1tlZjea2cETUfdmSg8XH8NtYVC/vaND3lb4bmRGONYBAAAmGkH9FjcwUvixOe/5v2jG/xyv+U//TpL0Yl/hhHuzmaNvO4/E/5XJENSvRXFQ3zSnu0Od4V0RriDAkJMUjMiJdr+zaTitLLfwT1tZd131yAr1DqZ1+7JerUroux3Ns6Y/pd5INu7WswoX8uh+B5hYSX3bz53VWfR/t68/o9e/bI62jPR331dicN0k0X71B0aysfcsviAvSdtvXrh40DuQLjmQLxrHzGZKuk3S1yTNlnS9pBckfVTSA2Y2v4ptnSbpZknvlPSYpKslPSvpUEm3mtmn6lr5Jotn4HfmgvpmUkdXyeUAAABQfwT1W1yuT/22bErzf/Fp6b7r9I4//D91DW/Qc+uHtNu2PZo/r1vzNp8xal0y9ccvmonf2W4yi3XBEwnqD0YCft0dsaB+5KJL1ovHSsD0snLTiAYiQaT1gwy+OJksjWTpb7fZDG0zq/C3lUx9YGLFA+xSMGDtvDnF5ziv2mpW/nnfSHrUOEPldEe634ln6scvyEvS5j0dReUrNnAhdhL4iqT9Jf1Z0ivd/Vh3f6OkL0jaRtJFlWzEzLaR9F+SRiQd4O5vcfcPuPsbJB2l4DrS98xs9kTsRFOkijPwZ4RB/Y42k3cUvmfZFJn6AAAAE23aBvXNrMfM3mdmPzWzR8xso5n1m9nDZva1cifgZvYRM7vXzPrMbJ2Z/cbM9h/j/fYPl1sXrnevmR1f/z0rlut+Z6u1S9XRv1aS/j975x1mx1Wf//fMzK17txe1VZcsWbYkF8my3AvgAiYYg8GQBDC/EBNIgFASguklgMEJBidOYoxNswFjY2PcbRVLlixZ3eq70va+e3ufmfP7Y+6dOTP33i3SrlbSfj/Ps89Ou3PL9Pe85/3CpaVQO9SEtKajrtyNhgpP0SxZe6b+RH/SsxNn/A4A1JVbDz2RpGoW003anPqWExAAvIpky9inCJ6pS0vQXnwuQa7P04rDQpHcJfVlZh0TgER9gphoSgnss6q9mFHlQZHyQeiOZRAaQ9a96NTPahxx4XrsUQpvqxljmC649fsiGTJKTCKMMReAf8yNfopzHsvP45zfC2AvgKsYYxePYnVrALgBvMo53yTO4Jz/MbcuP4Bl4/HZTwd0IVaHyy64XIbpRJEZuODU51ly6hMEQRAEQUw0U1bUB/AhAE8CuBPG7/A8gNcAzAfwTQDbGWMNzhcxxu4F8AiA8wG8DGAbgLcD2MgYu7XYG+WmbwRwI4wb/OcBLAbwcG59E0a+UO6M3t226VXhVqg6H7YALjn1Tx5n/A4ABDyy7beN52ob2DP17YcmY8zm1o9Ssdwpi1PUF/cbYnJx5umfU+8nUZ8gThE657ZjTBT1ZYlhXp0PF82vRH8yg0juuss5R3MwgeAYnPoumdmu4WKDQDGnPgDUV7jNBgVN5xiIklt/ErkCQBWAZs75riLzH8/9v2UU6xqtHX1olMud9nBV2HcVD9y5a5zh1LdEfWRpHycIgiAIgphoprKonwHw3zC63Z7POb+dc34jgCUAdgFYCuA/xRcwxq4D8DkAgwBWcs7fk3vNVQA0AL9gjFU7XlMN4BcAZADv45xfwzl/X279TQA+xxi7dqK+ZDybF/Xtzy1VkVYAw4tMJOqfPM74HcAQ6AMey+kXywn0osPQp9id+oA9V5+c+lOX1iGHU5+imE4buiJpxHLbgwE4p67MVpycMvUJYuJIOxo4PUUEdkVi6Iym8fSRfjzXNICnj/RjIJEdk6jPGINfiOARS9yUEvUViaFeiADqDqfBqTbOZLEy939nifk7HcsNx3YAYQDXMcauEGcwxt4LYAWA1znnTSfyQU9LNEus57LLFPVlR/yOTfwnCIIgCIIgJoQpK+pzzn/JOf8HzvlRx/RuAJ/Kjb6XMSYGsX4+9/874us451sAPACgEobzX+T/5aY/xTl/QnhNL4Av5Ub/+WS/Tyksp/4e2/SqUAuA4UV9xSHq0wPo2FGLxO8AQJkg6sfzor5aulAuAFR4ZUgMmFvpRSxNov5UJKPp6IzYjYHk1D99OCJE78yu8sLvlsmpTxCnCLFh3KNIRWMFASCaMa6fg8ksorl7pHBqbAXofe7ChnegMDpPRIzgSWZ0RMYQ+UOMK3Ny/ztKzO9wLFcSznkIxn0+YPTYfY0x9hhj7A0Yjv/nARTtxVsMxtj+Yn8ARl24d6IRxXquuOHJ7fOKxMBlax9nKmXqEwRBEHd/sUUAACAASURBVARBTDRTVtQfgbwC7gFQCwCMMS+A63PTHy/ymlLddd81zGv+AiAF4G259Y878YyGsngvKmJdtulVkTYAo3fqcxgFWonRwzm3xe8oQphvwCs49VOGqDBc/A4AlHsVrGgox5VzquGFhCi59acc7aFUwXFImfqnD87oHQAk6hPEKSKVHb5hPE+sSHydzsfWA85fRNRnANxK8YYEwGgIqPRbPe66qWDuZJGvmZUoMT/uWG5YOOePA7gJRi/eKwB8AMAlAPoAvJqbftbAxVgdwanvLJTLqVAuQRAEQRDEhEOifnEW5P5nYeVgLoUh8vdzzou5e/LddVc4pq9wzDfhnGcAvAXACyP2Z1xRdY6Mxgvy9AGgMtwGcH3YOAhR1AcogmesOOsVuARxLyBE6aRVHVlNd4j6xeN3Flb7ABjd/ymTd+rR6sjTB0jUP53oj1vH5Pwa41j1kqhPEKcE8RrqdZe+vY2W6OkWHINz3ldk/R6XBFaid0CeGYJbPxjPFkQGEaeE/EYqdVM7/EZ0LszY5wG8BKN21goYjQErAGwBcA+A3412XZzz84r9AWgey2eaSLhqRVVxp6gvu6wFNTKeEARBEARBTDQk6hfnM7n/z3PO81aTYbvrcs7jAEIAqhlj5QDAGKuAUYyr5Oswhm6+uXWOumtuPnpnuiN6BwBcWgqBeN+wIpND0ydRf4xkVev3YgwQjPpwK8wWbxRPa0gK8Ts+pUj8jkexif3hBD0wTTVahlIF0yh+5/RBrG9Qnmu481CmPkGcElIj9HYDjIa1jNCDLiA47seSq1/MqT9c74A8VX7Fdk4Ij+E9iXEjmvtfVmK+P/c/NtKKGGNXA/gRgN0A3s8538c5j3PO9wF4H4waXbcxxt5xkp/59EFw4HPZbe7PisSgS5ZhhWm0bxMEQRAEQUw0JOo7YIzdDODjMFz6XxVmjdRdFyjssit23R2Xbr5jwcrTL3TqA0BVuGVYUZ8xRsVyTwJnkVzRwccYs0XwxFOaTZAolsvrleyHazKrk8tvitFSxKmfJKf+aQHnHAnhePTnjmFb/I5GxytBTBQjXUMBFNSjaayykg9DYxDYXTKD7LiDHo2ozxiD32MtJ9bdIU4Zbbn/jSXmNzqWG46/zf1/gnNuO8FzzjUA+Vpa14zlA57WCGK9LrvgloVCubIVv0OiPkEQBEEQxMSjjLzI1IExdi6AX8PoevtFzrlocR+pu664TKnx0bxmWHLdcAtXYrj1l4nT4lkNsppGw8B+c5oUqIIeCwEAqsJtI8ZBKBIzxXwS9cdGtkSR3DxlHhmhnNs+ltZs4mxRl2GRnz+czKLB5SmcQZx1RNMqBhOFD8mJDAnFpwMZjdsit/JOXpuoT41wBDEh6Jzbjq9SAntM6E3jd0mo81txIcEx9H5jjMHvlhFNjS7HX0TspeeM6SNOCfl7+4tKzM9P3zuKdeUbACIl5uen14xiXWcEbNj4HeGxkkR9giAIgiCICYec+jkYY40AngdQDeBezvlPHIuM1F0XKOyyGy0yb6TXjBuJjIb6gQOQdeNBlXl8CKyx6vhWRVpHdI6KxV0p5mNs2EX9wrYbMVc/llaHzdRPZbWijr4QRfBMGYrl6QPk1D9dcNY28OcEPi859QliwnE2mHlKCOxinn65R0G1KOqnxiZC+hwRPJ4SvQOcUA/ISWczgDCAhYyxC4vMf1/u/zOjWFdP7v+qEvNX5/63jPrTne5oVu0YXXJByu3PisSgC5n6TKO6TwRBEARBEBMNifoAGGN1MIpczQHwCwBfKLLYsN11GWNlMPLzQ5zzKABwziMwHhxKvg5j6+Y7JhJZzRa94128Gu45lpm/Ktw6olO/XIiIiYyhiBxRGL/jRIzfyagcXHi29ykSOOdmQbJgXOjuLCwYTqjg3C4KRFMq9rZHsbs1gv2dMRztiaNlIIm+SBo6CQhnLC1BK0+/VhCiqFDu6YGYp++Wmdk7hzL1CWLiEaN3PAqDVKJgbTRtHacBj4wqr9W4PtZGcr+jWO5onfok6k8unPMMgJ/lRn+Wu38HADDG/hlGkdtNnPPtwvRPM8YOMcb+3bG6P+X+f5gxdos4gzH2VwA+BEAH8OQ4f41JQ1ItsV6M25ElBi6Joj49MxAEQRAEQUw0U17UzxW1fQ7AUhjZl3/HnSqpwWEAaQD1OVe/k1LddUt282WMuQCcn1vv4bF/+uGJZ3SbqO9bthbuWYvN8apw64giU6XPeuCNJAsF5Dw650iktZLzpyIjxe+4Fckm9lcK4oLS34zmD89E84dnIXlwC4bi1sPR0aGEKeyrOkdcECk452jqTRiFd7M6IkkVA7EsukNpNPclcXyguNubOP1pGbK23bnTrA5DztgXVefY0RFBV6SwqC4xcYiNK2IRTdGpn1F1W6MccXqRyGho7ktgIEoO0zON0eTpA0bUXZ4Cp/4Yi9YWOPWLFLgvhj1+Z0xvSYwf3wHwBoDLABxljP2OMbYVwI8BDAL4mGP5OgBLAMxwTP8TgD8AkAE8zRjbzhj7PWNse26eBOCrnPNxv8efLJgjUz9PoVOf4ncIgiAIgiAmmikt6jPGPACegtFt9gUAd+QKWxXAOU8CeDU3+r4ii5TqrvuXYV7zLgBeAK9wzsddgUtkVLuof+5auGdaon5lpB3pzPA33RWCqJ/VOJJF8rt1zrGvPYo97VEc6yfROM9I8TuA4RTMU+uzHoZSj38PWrAXWmQAXff8LSIRK53pWDCJASFbPSz0oAjGVZu44YR6W5yZcM5t8TvLGux1tcUInj/u7cVD2ztxz/oWDMRJnDxVxG1Z3dZxLQp9HEYjDHF6cqwvgb5IBkd7E0hmqAfMmUQqO7psezF+J+CRUS1cd8MpdUzO+YBXMQX6Cp9ic+APBzn1J5/cPfe1AL4NIAHgPQDmAXgEwIWc86ZRrocD+ACAjwPYCGARgFtz63oWwE2c8++N88efVCRH/E4eRWLQJeuZgekk6hMEQRAEQUw0U1bUZ4zJAB6FcVP/GoD35rrkDse9uf93M8ZMdZwxthbA38MoiPVzx2sezE3/K8bYe4XXNAD4oWO944ra24Ky5IA57l26Fq4ZC81xWc+CD7QPuw5FllAmCM/hIqJwOKGaxTr7I5kp79bPaDpeOx5ERHD9FXPqA0CZ4M7Pi/puNYnE1qfM6Wp3M7yv/Mxc92Ayi55Y2pwvRgZ0hay2oUqfgvn1PjRUWN2jSUA4M+mPZ5EQGmsW1/kh6kdi9MuRgTgAQzze0yWW9SAmErFgcZm7uKgPYMTIM2LyEI+jWIpE/TOJ1CiK5AKWU19Rk5j7yo/AnrsPUk585AAiqdE3fCsSw/mNASyo9+GcaaXKJhVCov7pAec8yTn/Gud8Eefcwzmfzjn/KOe84MaYc/4NzjnjnH+0yDzOOX+Ic34157yac+7inNdzzt/JOX/+lHyZU8hwTn0ujEs6mUgIgiAIgiAmmikr6gP4NAw3DQAMAPgvxtjDRf7q8i/gnL8M4CcAagHsZoz9iTH2LAx3jgvAnZzzIfFNcuN3wsjUfJwxto4x9gcYcTuLANzHOX9lIr6gfGybOZypXwClqh6S1w+1apY5XeprHnE9FY4IHichwTXOMbUfUrOajp9tbsNju3sQFH4rZRRO/ZqcqH9OxwbwVNy2nO/FeyENtiGZEwS7BFE/mjTchdGUiqggRM2u9WJ6pQczKj3mNHUKb5szmRbBpT8t4IbfLduKKYtFlkXXftNg4tR8QMIevyOIii6JQTz6SdQ/PdE5h1jHOEFO/TOK0cbvRDPGdfmybf+J2pf/A0MPfQlv22IZqYeL4OGc40h/HG0h63zsc8uYVumBa5TRO4AzfoeuycToyKgcg7HJ7X3HObeJ9aJTX5aYbZyc+gRBEARBEBOPMvIiZy3VwvCtJZcCvgFD9AcAcM4/yxjbDaNR4O0AsgBeAfAdzvmmYivgnP+RMXYVgLsBXArADeAggPs55784mS8xHL6WN81hbcFqa7hhAZRQJwDANQpRv9KnoDtkiMj5XH0mFKELO4rLZTUOpfQz9VmLzjl+taMbzYPGA7+YpV0qfkfsBeF3yfApEhY3PVuwHMum4P/jvyF858MAgMFEFprOjcJkMLZLv5ADXe6VUZ7rBSAL78258TlLFREkTk/EPP15NT4AgM8lmZEvoqAcTqpAbvse6U/Q9j5FiCKwmKnPGIPXJZkNLymVxOLTEdURi0Si/pkD5xzpMTj1JT2LJUetpMSl+3+PztrzsH/p+2yN8U5ebwnht7t7AACfvXIuFteN3p0vIl6TNYrjIkaJpnNEkipqA+6RF54gdA7Imlgo1xm/I4j8lKlPEARBEAQx4UxZp77QlXakv5Yir32Yc76Kc17GOa/inN9YStAXXrOZc35TrmtuWe71EyboA0B5+w5zmC1aY32WaVYEj3vg+MjrESJiVJ3bYibSWd3mEgbsWfJTiT8f6MeOzggAQGKAW4jcKeXicysS3Ir1gD+dJTCrZaM57r3mb6xl9z2LmqZ1AIweEcG09cDUF8lgMGaNz6iy3PmKI+d3KvekOFMR8/TnVXsB2HPbxWNQPBpTqo4eKvp5Sohni2fqA4BHOBek1ZGPv1RWw2vHg7btTkwsTsd0KVG/PZTC43t70DRAvWBOF9KqDnHreUbI1G/s2gZfOmSbfs2m72Ba395hnfr7e63aNtvaQiWXGwln/M5UjywkRk+xulanElXnkEs49Rlj0GXreUHSqWGUIAiCIAhiopmyov7Zjp6MoaLvkDmuLF1rDrPplqjvHRpZ1FdkZnOUi1nx4SIPwFlt6sVLbDoexItHBs1xryNDv5RTHwACHushaHHLy2a+r1zVAO1v70N2obXtyv/wZciq0WuiI2JF8AzFre3gcUmoKRNyTR1v7XSkEqc3WU1HR9ja1vOqDae+KBznnfqqXujKJ/Hx1CCKLaJTH7Dn6qdH4dT/9c5uPLa7B/dubEVneNxrqBNFcJ4XMyovEPp1zvF/b3RgXXMQ/72l3VYcmZg8xOgdt8JKFqzlnCOa1rC4+YWCebKexTtf+ixifV0l3yeSFqLNBk68wU1saOcw3M8EMRpS2cm9v9Z0DkkvXijXOS5R/A5BEARBEMSEQ6L+WYTa14a2f7kOrZ+9FC3/eDEkbjyAZlxl8M87z1xOnnmOOVw21DKqdVcKufpisdxQorCr+lRz6u/vieF3e3rM8SqfYovekRmGjT8RG0waD/3ZHC6/8v0IpoHE7feAS7ll+o7hor0PAQBaQsVFhZmVHls8EmOMCvOdwXRF0qa4qEgMMysNp77Pbe1jyZy4mCoiMjZTrv4pYVinvjI2p/7xnENf1Tn+fKB/nD4hMRxqkcbopON4imc0DOZqyKRU3ebcJiaP0ebpp1UduprBwpaXzGlV77wLXDLubwLxXsz41SfA1eJipFhEty+eQTg1OtFy47EhPLCl3TwXOxsd6JpMjJa0qkOfxP1F1TkkTXDqy/YUV25z6lOhXIIgCIIgiImGRP2zCD0VQ3LveqQOb0O286g5vadhJcq8Vgana+Yic7gs3FHyAVbEWSyXc6PLuDNPHwCyU6gQ5EA8gwe3dZhOu0qvgs9dOdeeqV3CNZgn4DWWZeEelB3bbE53XX47MiqHNnMZ0ld/wpy+etf/oSLSgVhGKxAHZImhvqIwb1VM/yEB4cyiP2654maUu02Xp92pbxxzQ4nCqJ2mgQTFO5wCxLiWModTX2zkG02mvlhMd19PDMeoYWbCyRY5LybS9m0liroAsLc7OqGfiRgdqczo8vSjaQ2zO7fCmzZi8pjLg/o7f4DU+79jLlPV+gb6H/xiidfbt/9o3PrHBhP43Z5e7OuJ4bFcHr/zlqDYNTmd1XGsP2HWMyKIPJPp1td0Dll06sv2+01xnJz6BEEQBEEQEw+J+mc5HAx7l33AJjJ5Zi6AzoxNL3EN2Z6RI3gqfAryz6GaDsTTGuJprSCeAJhaTv03OyLI5L6vR5HwybWzUVfmRkOZ9WBT7DcSyTv13bv+BJYTX5WGuYg3rjKXkd7zb5CrpxvztDSu2vJ9AABn9nVPr3QXjR4Qp430eYjTCzEvv8xtNa75BPEqH78zECt8iA6lVNNdTEwcYrFiv9t+aR2LU59zbhP1AeDpA/3UMDPBFIslc+ZXhx2i/sHe+JSMmzvdSAnH3vCivopFQvRO2eqbIfnL4X/nP+DQolvM6cGn7kP41V/b30PVzWt9nqMD8RE/2/pjQXM430DLGLNF8BS7JrcNJdEbzqBlIIlgnM7fhEUyO3mxXxp3OPUd8Tv5Xi8AOfUJgiAIgiBOBSTqn0UMydXYfs23MONffovyf3kcT978IH7xoZdwbP7bbAKg1+NFNDDTHE93Hhlx3bLEUOa1GgbCSbVo9A4wtUR9MVN5zexKzK4yolHq/NaDjlOgc+KSJWR1HZ4dfzSn+a/8AILC71tdV4uGv/uROb6gdR3mtG+yRX4wANMrrQK5IhS/c+Zij5awjmN7oVxjPwgWceoDlKt/KhDPBcPH7wwvyKg6L8jYPjqQwMG+kQVE4sQpJuo7i+U6Rf2UquMoHVuTTrLEOdJJLJHEwpZXzPHyK98PAKj2ufHqVV9Hf+1Sc17vfX+PVPNuczySUlEdOoZrXvsWLtv2H5D07IhO/XAqi12dEXM8q3GzEWika7LYS2QwRsXOCYvJdOqrjkx9LjtEfXLqEwRBEARBnFJI1D+LiMrl+GrPhXhKuRTqypvQ3rgWscAM+FySLdPd65IQqpxrjqeFqJ7hqHRE8IQS9uKseaaSczEjfFdRuKv0Wg86sczIbqV0TzOUlh3mePviWxAXHuprylwov+YO+JZfbU5b++Z96ImlTad/Y40XbqX4Ia3YBIQRPw5xGiHGtYgxLj6bqG9s1JKiPsW3TCg65zahxRm/MxanfqpEIyC59SeWYm5pp6gfTRWey/d1U67+ZMI5R1o49nzDZOqn9rwCb8YQ2TXFg8CadwEw6uCoig/PvOM+JD2VxnrTSXR9+73QIoPQUwmEfnU3PvT4rVhx8HdYtftBLDv0BLqjacTSpa/vm1tCBQ10+XP1SKK+aI4IxlU69gmT9CTH70iade9f4NSnTH2CIAiCIIhTCon6ZyHfeGI/Xm8aNMfzAlNzbwwPvNKM1v64TdRPtY/s1AcKRf1YyhI86gPWjf1UcupnBIHOrVgP6aKoF0yO/GCjbX3cHFanL4E2c5k57lEk+NwSGGOo//gPzOnT+vdD2v0cljcGsHp+BRprvCXXT/E7Zy6iyCv2uBEjXvLRL+ES+1rzKLKfiRMnmdUhHlVOp/5YMvVL9expD6Wwq4sy3CeKYtct0VkNAOEiAu7enigJrpNIWrUfe8M59eVtT5rDwcXXQfIFABi95co9MqLls/D89T8CcvGE2d4WdHz9FrTcdT740z+CLIiU89o2AijdYKrpHJuOhwqm53tVie3vzmsy59zWc0TVOaKpyYtcIU4vJvMeW9O5zYFf4NRXrHFJz05qUV+CIAiCIIipAIn6ZxGKbAi3Ogf+Z90xc7rPJeNnLx3FTfdsxA+eOYQP3b/VJupnukbn1A94rVx9ncN8kJYlhqoyUdSfOlZw0anvliVh2BLRg6nsiBE8vqOvmcPZi28FhJ4VtQEXWG7ct+QS6BfcZM6bt/7HAOdQ5OEPZVmm+J0zFVv8jmKJxTanfi77W3QSpwQBsi+eQThFXeEnCtHRzVAoLI7FqS+eK9wyw8oZ5eb4Mwf66fidINQS1y0xV98ZvwMAoaSK9nBqwj4XMTzi9nErDFKJwvQ8m4Fv33PmeOyCd9vmV/uMe5j2xsuQvvWr5vTUoa3I9rYUrG9Wzw4wXSsZwbO7K1p0f8kXNbddkx0iraYDzqOccvWJPJN5j606nfoOUR+SKOqryOpT53mAIAiCIAhiMiBR/yxiZrXPjGIRb6OPdEXw42ePmO6eeFpDsHyOOV/tahrV+mWJIeAt7Npe5VdsgramY8q4c+yivvWQzmANp1QdPdF0yXVwNYvabiu7d7t3Oc6fFcC0CjemVboxq9ruwK/40NfN4er+Q2h69rd48s0ORIcRbRXK1D9jEZ36pTL18079mBDZFEtkkRT2iZHyn4kTRyyS64w7A8aWqS+K+l5Fwi3L6s2zSW8sg23t4ZP/wEQBpXowiQ02kSIiLUARPJNJapTRO7GtT0NOGdE7WdkLfeUNtvlVQk/E3qs+hcAV77PN55KCncs/Ao0Zy3kyUdQNHkJTiWK5G4UCuSL5c8Vw8TtqESF0iER9IoezYPOpROOwifqFTn0rU1/Ws8iMYGghCIIgCIIgTo4TFvUZY1eN1994fqGpjEeR8LOPXARZYnAJD7fBIkXW+stmm8N8sB16ZnROQzGCR5zmUuwi1lSJ4BG/p0suXlcgperoipQW9ZPNu+DSjN9fk1z4dWc1XDLDggY/FtT7zR4YeRqWrULT/Leb420/vxtf+PVOfOnRvSXfwxa/M0W2zdmC3akvivr2+B3OuU2A1DQdQ4KDuJly9ScM8Xf3uwuFRe8JZup7FAkzKjy4ZE6lOW2nUHiTGD/E86It2krYtqLz+pw6vzm8t5tikSaLlNCgVip6J77jRXTf+zFzvGXOVSgrr7Qtk3fqA0AwpWLGPz8Edu6VAADP+Vfh4D++iE1rv4S+hvPN5Rq7t6MjnDYjdfJ0hlO2WB7x+Lfid0pH4hW7f0pldVDKEwEA2UkUygsy9YXCuIA9U5/pKrIjXO8IgiAIgiCIk+NknPrrAawbh79XT+IzEA6uObcB33jvefB7rBvrfAzH7Wtm44bl0wAAg77ppuMMnCPb3QwAyPQcR3TLU9Dixd2gFX5XwbQqvwsSYxATYKZKBE+x+B3Oue2hfCRRv3PbOnO4t/48dEV1PLmjs+TyLlnC/ss/A57z7zam2nB15DW8sK8H/SV6BIxUlI84fUmqxUUr0ZWqc8O9J4pLqm4X9ZsGSNSfKOLC7+4skgvYnfpjydTPi4HnTQuY08TeGMT44MwwrxAarxO535tzbnPqXzG/2hzuCKcxlCAn9WSQFBs93YW3tJGNv0fHN24BTxmOek1SsHPlx1DusR+noqj/ZksQN/90J27Qv4jbFj+K7y79EfqqFgIAOmasNpdr7NoGDqB50N4LaoPg0p9T5cW8Gl/B55WHKV5fquGdrt0EYFzvJ2tfUHUOpglGIWf8juDUl7TMlHkWIAiCIAiCmCwKbddjoxnA5pN4/RUAFpzkZyAc/PXlc7GjL478bbdLAh7++0tw9dJ6DMUyePP4BmS5hEhFI6rDLQCAwd9+G5muJqSbdgIA3PPOx7yf7QKT7Q++5V4ZjMF0jPlcEjw5odElS9By3canilPfmX8NGN2TRUedFOrGrD/9NVoDCmZ++TG46mfb1jG4ayPy8lDntIugZjge2nAcH1gzu2Q+sDptCY4svAlLmp8FAHx44FFsqLgSr+zvxQcvnVOwPMXvnLmUztS3C1iJrIaUqkHKLaNp3Cbqd0XSSGS0ok5y4uRICLneziK5wNic+rZzSu51YmOOuD8Qo6c3msaLRwYxt9qHqxZU2+Zp3J5hXuFT0BM2rqDJjA7OOdKqbou9WFznR0OZG31xY7l9PVFcvaBmwr8HYSeVKR2/E/rLA+i9/1PmBTnr8uOZt/8EvQ0rUJ4zPug6x562EDYe6DNf1xVO43B3FGAMcTmAl9/qxezZVQCAjpmXYPXu/wMAzOzeAaaraBpI4PzpRsNbIqNhuxCRddWCahzoteKZkpmR43dKCaEaWfWJHFlNhyyd+mu506nvjN+xifq6SqI+QRAEQRDEBHOyov4mzvmdJ/pixtgvQKL+hFDud2Mw5xz82l+di1W5B9KagBvfu305frGjC6HKuaaoH934e9vrMy1vIdN2AJ75y23TJcZQ7lUQSRqOxUq/tQu5ZIZ8hPdUuZEXGy/yblyxa7TOOda+9h1Ut29HCsDgb76J6Z990JzPOYenZZs53l67EugGmnpj2HCoH9cuayh4z46hBPa0hhC/+B+w+NjzkLiOxmwXrg+vw4t7pxcV9eVhuvoTpzepIs5twGhEc8nM3AeTWQ0ZjSNfgUHVdMSTWaQzGjxuOecoTWC5UHiVGB/ETP1ijSaigXgkp74zfgcAfGJ8xwivJ4rzh729ONgXx9a2MCo8Mi6YVWHOcxbJLfda1zVVN3peidE7EgMCHhnLZwTwStMQAGBvd4xE/VOMnmtsySM2fgWfug99D3zWHJfKa/Cn6+9Hd8MKAMDRngh+ueEYXtzXg95wGtUVXqy9YKaxHk/hMdwXywCMoXvaBeCyC0zLwpONoX7gIJpqrXPqhmNBs/GnzC3j4sYKHB+ynPz5Qrmjjd9xKwyZXEMg1Ryd4ggej4zK4S3sODvhaJxD0kVR3x6/w8T4HY0y9QmCIAiCICaayS6Uy2C7TSXGA03nCCatm+7GKp9t/juWT0dtmQehyrnDrid58PWi02dWeQAYwsb0So853Z4pPzWEYzF+J//9xa7zestuLGp52RyPbXkKXLPEoWx3M/zJQXO8tcZqRPn5+mMF79cxlMDfPrANg5EUQlXzcWjxLea8Dwz+AZsPDyBWpJgjxe+celJZDY+82YXvvnIMW1tDJ7yepKMIq4itWG5Gtx13cq5Ya1CM4KFc/QnBlqkvbCM9k0L7l98OfLIR5zT9BQBMga4UmSKNOKIDmZz6J0afUFvm6QP9tvOgeM6WJaOHhEuoZZLIaIikrfNquUeBxBhWCA1kR/vjBdnqxMSSdhwL+V6DeiKK/of+1Zyu1DWi4d/Xm4I+AHzmkV341aZW9IaNyLqUsH09bgVffOcSfOHmJea0vPCuuvyQF60ypzd2b0drKIm0quOFwwN45mC/Oe+yuVVwy1LRoubDFsoV9scqv8u2LxJTF3EvmCzjjOpw6kMpXSiX6eqUeRYgCIIgCIKYWfGw+AAAIABJREFULE5G1K8G8KmTfP9P5tZDjCPBZBbiM2JtkRz882ZV4NDiW5BRDMF/sGYp6v72Wyi/8v3mMskDW4quv7rMhVXzK7BqfiV8gitVfPCcKsWxMho3H7Ty8TviQ0zZ8z+0La9FBpHYu8Ec731zvTk8VLUAdTNnmuObjw7iQKfRjb8/ksI3n9iP67+3Acf740jkGm22X3SXla2f7cI5sX3YcMgSFfJQ/M6pRdM5HtzWiW3tYXRF0vjVzm78fk/PmH97nXNb5IfXES8hivzJrGZb/7QKo8FtKGy5RClXf2KIZ4pn6kfW/QaJ3a8AyShW7TIiO07IqS9s56zOqbfNCSA2wPbGMtjaZjW0iSKqIhm/tdjjIpnRbU79ypyTf36Nz9zeGgcO9MbH9Jl0ilM5KcQ8fY9LgpRryEwe2Q6eMRozJV855vx4E/7YbdWl0HVu61EnMeCC2fbCubevnYOPXz0fFT4FsswgC6YF//KrzeFZXduhc+C/t7Tj6QPGtdeTCqFKyuDaRUbPDb/jPA2MFL9jjbtkhuqySbBkE6cdTFD1J+seW3Nk6nPJvm8yYZxpmUkt6ksQBEEQBDEVOGFRn3Me5pwnR15y2HUkOefFK7ISJ8ygULCv0qvYHPR5Ah4Z/XXL8IsPvYx/u+ZpfGXZ/ai9424ELnuPuUwppz5guNJlR967TdSfAvE7nHOUKRLefU49blvagHhKg865+d3ltt0oO/BCweuimx43h7u2W0Vyu6ZfiPl1fixvtMSFn77YhB/8+RCu/u56PPxaiylMJXICU7hiDjob15rL3xB6CS/u6yl4T3Fb6dwQk1qDSbQFT+oQJorAOcdvdnbjYJ9d4NtwLIifbm5DNF3Yk6IUTle2GMMCOJz6WR3i0rOrjQY7MVe/LZSyxVUQ44O9N4W1TaLrHzOHKyPtAOfQ+PARWGmt0KnvdWx3coSPHed+/+zBAfN8mhW2h5K7jvmEzKRERrMVya3IifqyxMwsdQDY32Nkp3NuiMZ8GNH+8b29+MxTh/Doru4T/UpTnlSmeC+m1OE3zGHv0kvR56rHg+uPm9MyWQ1uWcJ1yxrwgw+uwLZvvQ2//dSlqBBid4LJLLxuGbeuaoRHOKYZgMqLrjPHZ/UYufpHcw2m5x38Az7xyyvw0d+/C97ug8Znc9vP08Dw8TuqrQcgQw2J+gTsTv3Jatg1RH3Bqe+yx++Izn2mqbbGVIIgCIIgCGL8mez4HWICGIxbN9zFXPqA5QBNe6uQ9NehZSCB3nAKvmWXm8tku5qghvqKvr4YLmVqxe/E0xqunVeDco8Cn0vGYDSLfe1RhHP1BnzPft9cVpWtmKLY60+Cazkx4uhWc3rX9IsQ8Cj4+DXzzWnP7+3BA682m8X1AGB6pRdfvPEcc3zfkveaw1dGN2PrvuMFOaayo/v+3q4ofri+BT9Y34I9XdET+fpECZ452I83hEKJoiB7dCCBH65vQXsoVeylBaQc29EzjKgfTak2K9/8+jIAQCRuueV0Dlu+MzE+xIVinXnntjrUjcSeV83pLi0Fb9pwh6eGEeXFhpz89vYokk3QSVIEz5jgnBdck0IpFRuagwDsTv1847To1E9ktKJOfQBYkjvOAGAwkUHbYBK7WiN4syWC/Z2xor1zjg0msK55CDoHNrWExtTQR1jYiojbRH2rTo136Rp89Q/7bA2edQE33vzO2/Dzv1uN29fMRm3AuD5XC/dLwYSxTe5YOwceYV/wKhL8515mipfubBwNAwcAABWRDly95ftg4NCHOtHxtXciO9BZ0KMKsF+TNa20U1+RJVT4FEiUwDPlYax0Q9CpQnWK+spwoj5l6hMEQRAEQUw04ybqM8amMcauYoxNc0yfzxh7lDH2FmPsL4yxS8brPYniDCasrrG1JRxeotCYdyZuax6CUj8bSu0sc17yYPEInmJMJae+quk40pOwuXIBI9d8MJaF3PIm3PtfNKe/ctU3oUuGEKSF+pDcvwlqeABVYcs92D3tQgTcMm6+YAZmVHnhpDbgxlffswzrv3INPrR2trkNj829DigzCiF7eRoX96/DlqZB22udkbz7e2Pm8MZjwRP4BYhivHY8iOcPW7/94jo/vn3DIqyebRXlHEpk8ZNNrTaRsBRiVItbZgW9Y0Q3cTCZtQlFCxvKTCEoGKFc/YnEVig3d06IbPgd4HBql0e7ABS6xkVEp35e1GeM2UVLKpY7JrIaRzEJ7MUjA0hkNJtAlndQ2+J30hoiKes3rxBE/Rnlbiyo8uHGhbW4dGYVOoNppHPRGNGUhq5gYQPec4cHbOPxdPHtGUur2N4eHtW5YiqStIn6xvbinCN5yGos36csxrqD/XAL23NWlRflRaqMVvusaaFcxN2SGeU4d5bVey6d1SB5/fAtWWNOa+zaBnCOd+34IRTV2t7qQAc6v/4u+FWr11Yy1wAonss5jEigPGLPEZdknPcr/dY+RxCTFaOocw5JtZ4xIDtFfSFTX8vYGkwJgiAIgiCI8Wc8nfr/CmAdgKr8BMZYAMAmALcDWAbgJgCvMMYWjOP7Eg4GBKd+nd9ddBnR8ZvPit12bBCMMfiWXWbOSx0oHcHjZKoUytU5x+GehE2Y64qmbcuILv2e+uU4vOhd6BJicqKb/4geIU8/7qtFuGIOAh4ZLlnC311rHSIVPgVfuHkJNtx9Le68ej48LhmMMbPBRlM8yKy53Vz+htBLeMkRwcMYg5jClHchAsCRgbit0CdxYuzvieF3u63ffUa5B59Y0wi/W8ZHLp6JW89vMN3WyayOXZ2REddpc6IqhadrsVEpksxCETZyTZkbjTV+APZiuc2Uqz/u2Arl5sTD6PpHC5ariOVE/WEaPdNFMvUBKpZ7Mjh/73wDdCKr46Wjg2bcCQt2gv35+4jvftUWmaJxe9RLhccSWD2yhMtmV5W81naG0raeGa3BZEH2frJIIw/nHPdtasPDb3bhp5vaqBZKEVJFioirfW3Qgr3m9G/vNRrIxQidck9xgbzaZ00PJq1r5CWLas3hgUgKsZQK/4przGmzu7fj3ek3UHf0lYJ1po/tgfJfH4GkG/dl+QZAxdFAq9oKN1v7Q950Qbn6hLjHTNb5QNU5IDj1maNQrjjOuA5VzYIgCIIgCIKYOMZT1L8GwEHO+WFh2kcBzADwKIAlAD4HoAzAF8bxfQkHYqZ+Kae+x+bUN4bfaBoCAHjPtcTnE3fq82HzhM9UOOdo7ksgIjzw7+2NYkPrEM6bFYDPLUE5thXug1bsxtZVnwYYw+F5bzOnxTY/gfatlgDQPe1CgDEE3Iao8JEr5uF7ty/H125dhte+eh0+9fZFKHMIEfVllojUf/EHzeGlqSM4sG2rzfkH2J2BYj60zu3OfeLE+NP+PtMNXOVT8KnLZ5sCL2MMb1tci6sXWnXBjw2OHINTzIkqIhZgjKZV2zb2KhIWNBjRIGKx3ONDSSq0Os7Es2KhXAmZzqNIHdlesFx5zMhPH06Ut4n6QiON2KhD8TtjwxkB8Y5zLJF2XfOQ2SgT+OVd0J74LjruvhHq8d1wK/ZaJHnE+J1gzC5aMQbMqfWa10POgeP9SfN6+Nwhu0sfKB7HFMto6IwYjcXd0TS6HQ3HUx1N58gIxUK9uV5Loks/XD4bLWmjYbO6wur9VkrUrxKc+sGktV3nNlgRS8mUiqd3dsEniPpz+3dh0XPfMMf9K69F9W2fN8f5vldw7cZvApwjkdXAOS+I08mLtDrnENug8maJ6hJRisQUQthnJssBr2kcklAolzky9ZnisY1n0nTeIgiCIAiCmEjGU9SfBeCYY9q7AKgAPsM5P8o5/wmA3QCuHcf3JRwMxoX4nREy9QEr2/VobwyDsbTdqX9kO3g2U/D6Yrjk0s6zs4XOYBoDUeth/1gwgb19MbgVI/d2xexyVG96wJzvPXcthhZcBQBonnc9IOXytge7ULbNcvJ2Tb8IgFHAGAAkieGOtXPwsavmo8JXfBuK27ar6hwoCy4yx1d3Pos9bSHb8qIzkDkEhT3dlKt/MnSGU+iKWA+vd1062xblkGdxrd8cbhpMjNjwJWbqj+TUj6c1m1Pfo0hmrn44mjajYLI6pwLJ40hW0209k/wuGZEiLn1AiN8ZpVPfa3PqF+ZyE6Mjo9njTK5fVIvy3Lk2q3F0R9JgsUG4mjYbC2kqBn71NVsEj5I/aXKO8kwQXM1C1XSEhF5PG1uDCGazmFXtxbw6nzk9lFAxFM+iPZTCvp7CBtRiTn1n76m2IjE+UwFN5zjcHcf+zhjSQmOW2DDGYN3TiEVyd+Q6hXo9CuprrHPv0gZrWKS6hKifEN4rndHw6JZW+M5dC5aLGuGpONT+dmMBxYWGT92P+jt/gPKrrB505x15EhfuewQ6N/ZHo/eckKufu19yirV5p75bkWyNTMTU43Rw6msO5z1zZOpLir3BTMuSU58gCIIgCGIiGU9RvxyAqQwyo6LTGgA7OOdiwPdhAI3j+L6EQEbVERHyeWvLRo7f8QrCxZvHgvAuuADMbbjaeDaNVPOuUb23LDHbQ0dWPbtEfVXT0SEIKy6FYWunURDVnRdT00noe18yl6n9wJcxo9L4LVPeaqQXW4WIPRkrfqV7+oUAgIC70I1dijph2w7Es6i56ePm+HWRdXhptyEypFUN23bsR/LwNlPYdUv2Q/9Ab/ysr4MwkezosLbl3GovZhepiQAACwRRP5xS0TaUxD/9chfe/eNN2NlSWNtAdPCKmep5xEK5iawOWWZQsgksPfInyK27saAhAMBwGWcFkZBy9cePhENg97kkW/SOXNVgDued+ulhnPapUvE7ilx0GWJkMsK5za1I8CgSbl5aZ05LZXUoRzfZXhPf9hd4Wt80x/0uCeA63rHuX5H95Dwcva0SLZ+/Et4nvwrXrqeQHupGeySF7ojRCF4bcKFCiHNpGUji+UP9RT9fsUYaZ2+M1inaENcdSmMonkUkqaJlwPoNxHOjxyWZRUSTQpHcw16joPyqJfXmtLoyF5ZNCxR9LzF+JyT0xhMLGaezGt7qiOCt3jS8Sy8tWEfN+74Iz+ylYJKE6Z9/GL7zrzTnXbTnIeMzFongyZsgxAZCidl72DlrqhBTl0kT9bN2573kdOo7xp3LEwRBEARBEOPLeIr6nQDmC+OrAFQCWO9YTgEwOus3MWbE6B2J2R9SRUSxqEyIEnijeRDM5Yb3nNXmtOTB0eXqM8bgUsQInrNLeBqKZ826l4rE4PNJZiRDvpdCfNdL4GlDeJD8FSi76B3wC7/JwcbrCtablb3orzsXAFA2BlG/XohWGohnUHHNHdByXZ+rtAjaXnkcn/nBY3job25E4O6VqL73HfA99Q3b582TVnUc6Seh90TgnGOHkI+/qrGi5LIVXgUNQmPM3X86gD/v6sK+jjDuemgHgnH7qVF08Iqibh4xfiep6mCM4aot38c71n8F4buvxSJmZUv3DVnbt4ly9ceF32xuxd2P7zfHFYmBt+xFpsNKoav+q38yh01R/wQy9b0uit85UcTf1J07910+rxrzqw03vVuR4HKI+gDQ89CXzeHGCi8uPPAoljY9AwDgmRS0w1vge/V+lD/0MUz71oVYvv+3Zo8dxhgW1PvMhu6MygHdOu/6R9iezsai1tDUdOoPCTWCgvGseV8hOvXzvVh4NoP00R3m9IO+pXArEuqFxtRrFtRAcnZVyyE69WMZzWwMigpFktO5xtGnd3bBv+Jq2+td0+ej9oNfMccltxczvvRrc7wsOQhvKmRuW7HOjeXUL8zTJwgAZsMVMHk9YXVHz90Cp75s76GoZehxjyAIgiAIYiIZT1F/C4BLGGN/xRirAHA3AA7gz47lzoXRAEBMAIMJ6wa6xu8q+fAqxjq4hOFtzUauvk/M1T8wllz9s7dYrhi7UxtwQRU0l3z2dWzLU+a0stU3A4oLWw5bGcrPeS8Bh32b9ExbAV0yHoQCJbJ+iyH2wgglVei+CrjXvMec9jfH78Nd6z+M60KvQIYhFHi2/BrQdatngQBF8JwYrcGUWZyaAbhoVmlRHwAW1FqxHEFBLOqPpvHNJ/bblrXF7xRx6ovFPDO5h/zZnblM6WwaM46vN+d39FvFOZsHk9DPwpoXp5LXDvfj7sffwuaj1vFd5pYRWf9bc9y77DL4zr/KHDcz9Ydx2o9O1Kf4nbFgc+rnzn2yxPCx1TPhVSR4ZAmuo68VvK624w2ob60DAPj6DuOyN35c8j0kLYNrNn8XM17/XyTSKrY2DULVdcystjKmz60rQ4VHxqxKD5ZPLzenF6ux4BT6u8Kps66hfCTSqo640POQw7oO24qI586D6eN7wXPO4AxTcNwzH9etnIF07l7Eo0i4dG5lyfer8Cq2q3PerR8RnPqZ3LH3wr4eW64+ADR88qeQPD7bNKWuEVKZ9Z5VoeNIZIzPXix+R7xvchW5ThMEMHlOfe6I35EdznzJbc/UJ6c+QRAEQRDExDKeTwzfBZAG8ASAIIBbAKznnJs2b8bYPADLALxR5PXEODAguNrq/MWjdwC7WCS6fw50RRBJZu25+gdfH3XRW2ex3LOFrKojLHTHryt32wQWtyyBayrib1htWIFL343XDg/gkODi1iqnY59vmW3d3dOM6B2vItm6449Erd9lChAcwFAii5m3fMKcX6VFIMG+DaREEHLPIbhy77OgxhIg9nZHSeg9AcTonUV1fluxRT2dRKbnuG35+cJvXlNpj+l5amcXnt/bbY7bhKsimfpi/A4HAM4RiPeZ05Tj21CWyw4PRVLm/pJSdXSG6WH7ZPj5emO7uoQeFD4FiK5/zBz3X/kBfHeT1VjmTw1BUZM24V5E59yW/+6l+J1xIS1EwYnXvtoyN+64YDo8sT7IPUfM6a3u2eYwe+KbQDaNskf+HrJqHDNy9TSUfeVZxG/7HtIXvRd6wCq8e8WWH+K+L/wT7rh/K2758SbUlbtMR7YsMSys9uOmJXXwucVeNoWNNE6nvsYx5Y7ZULwwj7s/ahgXkpnCaDKxSG6zZyGykgtV1ZZL/9I5lbY6JE5kidmLICez4JzbRP28U79jKInW6pXwLTMi9Spv/nsELrm5YJ2MMbgbl5jj1eGWYeN3xEx9cuoTIuLeoHNMyv2a5nDqOzP0JVkBF54pdMrUJwiCIAiCmFDGTdTnnB8CcAWAXwF4HsB3ALzHsdgNAPYA+NN4vS9hR4zfqS0rXmAVsJzlgCG+V+eW5Rx489gQvEstp7462AW1r21U72936p89wtOgIC64ZYZyr2wvvqgwJA+8Di2SKx+huOC7+Ebc85dDSAqCgM+jYHO51WACFBbJHS2yxFDjFyN4svAtvxq8fp5tOW3aYoS808xx5egmcztdv7gGeV0hmtbQMjQ1c5tPFN0RvXOxEL2jRYdw7M7FOP6xhdj331/FnrYQ3moP46lt7eYy5WVu3LhyOi6eV21Ou/sPb2EoZjw4p3Ji3/IDj2HuU/+KrOM49Dnc+75UELJu7avJA69jfp0hamk6R7mwPOXqD0/TQALPHRpAy1CyoFGzqTeKDbl8dJfwm87u3Ql1MNcRTZLxR74ajx3KQhMutYFYT0lRP+OY7ilRKLeYs5soTTGnfp4VM8rhOrrZHI8GZuDhc75gjtf370X5/bdB6XzLWuaOnyA073Kkr7kL8Y89CO+3NyFWaZUKurXpAbx/8HG0DiSwpzWEwZR1TE4rc2PlzHJbI02x+J1kplDobw1NrfPzUBFRP57WEE9rReN3UkKe/iHfEixurEBE+B2vXmCdZ0shRvCEklmkVXsh7MUNZebwiwcGMPueDVj4my5M+/R/lVynu3Gptf7QMbPwriyI9ppmFTLP44zJI6Y2zo63k+HW1wuc+nZnviwxQLYMRc5GAIIgCIIgCGJ8Gde+vZzzXZzzj3LO38k5/xrnPOqY/z+c8ws5538Zz/clLETxudZfWtQXoxw4gEsW1JjjbzQPQamqh2vWYnPaaHP1z1an/kDUejCpLXeDMVYgFMW2WtE7/hXX4sXmJN7qiCAliPoul4wdNVeaIl+WudAzbSWAsRXJzVMn5uonMmCShMZ/vB9K7Sx4l6zBzH/7Pc596CBCyywHoatpM9w5JX9hrR+LhLzhvd2xMX+GqUzzYALhlLF9JQZcONOK1Oh+4dfQhroAANln/gPv//E63HLvJjy+td10ewLAJ96+CD+8YwU8uWNyMJbB158wBMRUVsf0nl24dtO3UbXll+j+8Udt7+93uE7L4r22cS3Yg5VlVqMD0619lnL1SzOUyOKnm9vwzMF+3LOhBd9fdxwbjwVNh+1DG1rMZcX4soa9Vnu1vPw6/GRLEDqTMaBYRVkrYl0lRX2nA7+UqF/M2U2Uxpapr9iVMVXnUI5sNMfbZ65B2aprEVls1T9xNVvXv97VH8Hn9tYjIvTcatGr8fA1/4NQheXw/3j/I3j/4OPY3RrCcaGxtDYXi+e1NdIUc+oX7iNtwamTq6/p3NY7TmyL6QmnbfcX3tx5MHnI6gR62HcOLlhkHXfLppVhWrldgCxGlU906quICPE/DMDbllmFr1/c1wsmSVBqptt6PDpxN55jDleHLKe+PX7H+C+aIVzSuN6iE2cZkyHqc816xuCSDMXRSCozBgi5+s64HoIgCIIgCGJ8oSeGswwxU3+0Tn0AuHC+JepvO5bP1bcc5ckDJyLqnx1u0nRWtxXKqwsYv6voqnVLQOx1QdRfcwvufc4olpnOaDan7w8+fTOeWPo5HPEuwsa1X0HGbQjBAffo8/TNzyLk6g/EjIenwOqbsPDX7Zj7n1tQfuX7wCQJ0y653lxOaXodLomhzC2j3KNghSBE76Vc/THxphC9s7ShzFYToXm91XZZpidwSWy7OR6MWOJcWyiNBQ0BfOmdlpvzmV3d+NaT+7G7PYxZPVbhx+Te9ch0WDEhXpdk65IfSPTByYq0VbQ1FLHiO5oHE6OO1ZpqvNUTtRUi7Ain8bs9Pfi3547i1zu68OSODnNeRc7Zy3QVM468YE5/0XeF6SbuddWb08ujXQXi/fqDffjDG+2ICg2AErPHc3hHcHYTpREbYJ3XPlXjtiK5HTMvgdstw/3BrxWsR5u2GK4PfhfXn2eJuL3hJO78v+04nKrEE+96GMHKuebyH+9/BJ17t6FFKHLLwKDq3N5IUzRTv4hTfwqJ+uGEVZheloDZQmxZX8S6z2HMaKjRIoPIdh01p7dUnYe48LNes9C6xxkO0akfTGQRSVnHZMAj4x0rppvjB7siaB9FjyeK3yHGC/H0pU6CccZWKFd22RqmAECSAC4WyyWnPkEQBEEQxIRCov5Zhi1+Z5hMfZfMbGLg+Y1WIbd97WHE06q9WO7B0RXLFV2rWfXsEAwHY9ZDicclmRnlYvxO5eBRZHuOmeMbvKtwrM8oTCox2HJ6K8vc+Mq9P8Slv9yH2bfdZU4vG2P8DgDU+e1O/VIsveZGs0CvFBtE2cARTC839o8VMwxR/5KZFVheH0ArRfCMCk3n2NVpNYKsEqJ31KyKQMtW2/I3Jjaiwqeg3KugVnCDNudEoY9eOQ+r5lvxEL/Y2IKheAa1Q0229Qy9+Atz2On4dTr1AWBuyIoNaemxPm80raEvRg/cxTjcX1yoy2gcW9rCqKowBMbagBvXnW9EW83s2QV/OgQA4JKC/xq03Ln9oqgf67Y5x5/Z1YWP/e92fOmxvXjktRZzukeRbO5fHxXKPWEywrXI7ahNke5pgTxg1b3omHkJAOBoYAkCl99mTueSgthH/hdw+/G282eY07c2GYWSo/EMYoHpeOJdDyNSMcecv3Lv/yKe1WyN3MmMZst2T+b2B7GRzZmpDwA90fSUqacwFLfE9Cq/C/XlroL4ESDXsMkYkkL0TkiuxKILV5rjDQE3zhVic4aj2m+dm0NJ1dbQVuFRsLAhgEXTAua0F/f1jLhOUdSvDLchkcrVZhixUC6J+oSdYvvMqcTmvJeVgoYnWYLNqa9r5NQnCIIgCIKYSE5Y1GeMDTHGfnoyb84Yu58xNngy6yAsOLc7/uqGceozxmzRDo11fpTnhGdN59jZErQVy00f2wM9OXI0y9kYv5N3wAOGSz8vtInuz7pDL5rD7kUX40dbrN/qvasbbd3+g8ksGGOoL/cgJsSwnFD8TkBw6hfJH87jraxBsNZygpcf34Lpuc9U63dh5bQAzqktw/SAB22DJOqPhkP9ccQzluMy3zgCAG+sX4+AZu/1cEnsTez88iXY++834Ms3WyJPazCFrKZDkhjuuWOlTaRXZAm1waO29Qy+8Ai4Zu03YgSPWCQ3T2XXTnP4WF8MMyusfZEieArROceR/rg5ftvyabhuYQ38wnapzv2Gf335XFTkGk8XtLxszj9SdSHisiH8nd9YgVTFLHNeeazbFGZTGQ3//vRBc97GI9bl0FkY2euiQrknSnoYp37qrQ3WcM08xAKGYN80mED9nf8OuXo6dCZj/9u+Bm32Sjhp6Y9hVrUPc6uNotfxsga8dqmVyb+idyPqBg7aiq0mMxp8ir2RJpZSsbMlgj1tEWRVvah7nwNoD539bn3OOYKCQaGmzAVFllBT5J4m3zgSessyHhz2ngN/uVWE/OoF1ZCGiccREQudB5NZ23bL3yO9Y7lVo+aFfYUNqU5cMxeBM2N7y1yF3tsCwO7U10ynvrXdyalPOCm2z5xKRFGfSy5bHS0AUCQJXBHid8ipTxAEQRAEMaGcjFO/CsDorE+l8efWQ4wDYlyEW2YjisSiqJ/VuM0l/EbzENxzlkHy59zHuobYlqecqyhguEK5nHNkzzAxKpkxivLlEUV0UdSvOmjFbhydeTW6c8KLW5bwmRsW27v0J62Hopiw7rEWygUMB2Ke3mjatg84yS6yel74j28xnfoAsEDI1dfIBDwqdrRb0TvnTQvYnLcHX/5zwfJczSC66XEAwOwqL1y5h3OlRx45AAAgAElEQVRV56ZQN6++DD/7yEU4d2YFLllYgyofQ3XomG09SqQHiV0vmeOig7uYqM8698OnGeJ9OqtjesDaF5uoAaeAjlDKzDOXGLB2biVuWzENNy218rnLyzxwyxI+fPlcw1HNORa2vGLOf8G12hz++q3nYcG5ViOO6NR/aONxdAkibVgQMj0OUZ8K5Z44mWEy9TOCqD8wa4053BFKQaufjwU/P4I/fHwjNsy/raAWgs8l4dFPXYpNX7sOv7lrDfIabPPc69AeWGQud8nOBxASxOFERrc30mR1dAbTyGgciYyOrlC6qFMfANqCZ/8xG0tptmiRl5sG8eC2Dvg9hbes+UbQzu3WduysPd+8FjIAa+ZUFryuFM5rtRi9V+HJi/pWBM+bx4cwELVizYohub3QaqzeG1KP0VArF4nfsTv1qTMtYadYHYZTiui8l122RgYg1+gguYovTxAEQRAEQYw7J/vEcAFj7Gsn+gfggvH4EoSBJnTdr/W7hy3cBthFo7Sm45KFteb4tuYhMElC2aqbzGl9P/8S1HgYuzojuGf9cdz/ehsSGbvwIDr1dW45iTSdY09bFG+2RNB1BuUCDwoufb9bgl8Q3vPxO4FYD3wde8zpT+nWbv3hy+egscaPGqFL/1DCEnfiNqf+2DP1p5d7TCFJ40B3pLS4ULvKytX3Nm9BubD9K4UseJfMKGt9BLKajj1C/YFVs63onYFoGmXNVka37rKyoCOv/gaA8eA7L5cRXRU6js5NfzEdcNefNw3PfvFK/O7Ta1EX74SiFTrdev/yc3NYdOqXJYq4RnUdlykt5qhbOC80jSIPeqpxSHDpz632mY01Yg+HioAb7754JurLPUhkNNQPHkRFrBsAoINhS/mlAIB3XzQTqxbUYPUqy+FdHuvCYCyDgWga//1ys+29ZeH86RT1Red+StWh0zE6atKOouZ5OOfI7FtnjndMWw1PbhtwwChw6y1Dv1wFjQNHh+zHS75oOmCIbQ2B3D7CGPZc9ElzuUUtL0Nrta4RRvxOoVM/z2Asi2TG+szivtc6BZz6Q0KvM86A11pC2NUZxea2cEEkjdctQdc0uNp3m9MqV1xuDlf5FFuD60hUC9Foiaxui7Urz13/V8yuxPRKoycA58Ar+0d26+vTrUYepc+IVHNGqXDOKVOfGBaxx4k2GdcAsVBukfgdSWL2TP0i9y8EQRAEQRDE+HHSoj6Ab5zEX2FfduKEEbviDlckN49N1Fd1rBEKye1pDSGSzKLuI98BcxmCgjbUjXX3fB4PbutESzCFA71xvNEetq3T+cCdd+sPxDJmnEBXKH1GiMaccwxEhcLDAXuNgrz7c36rJQq5ZizExojl6H3nBUaUw0Q59RWJ2QSfjnBpwWf6qmvBWT5Xvx99By2RSdxsEmO2DGqikCP9CTMCxS0znC9kLD+5tRnLEvvN8bq//ro5nHxrI7J9bQCAhbU+zGnfhA8//h40PPABDP72W7b30DlHeb9V5FYXTtfp7U9DiwYBwCZY2Zz6Qhf41boV4ZMURKqhRBZDCXLSiYh5+kvrrc5ofUJjpNsl4/a1hvM2kdGx8LgVvXPQtxRBpRo+t4x/vcWIvKqbZwl6gVgvQrEUfvLCEcQE9zZgxC3lKXTq288P5NYfPeL5zNZDrfsYpGCnOR6dswaLhW3eNJBALK0hf2k9MmQ1+ABW0fQ84rk4vvImm1t/4ab7zOFkRreJ+m5ZstVoSau62ZMHsO+HrVPAqS9G78Sz1jHSMpREfbn9Ouxzydj35k6UqUYjqw6GmauuMOeLxeRHQ4VXgWg+bhOO+4pc/A5jDG8XInheHEUED5ux2Bz29huivjNKRdONxqQ8lKlPOJGEfUaflPgd4Zoluwp6PsnMIeqr9mscQRAEQRAEMb6cjKj/sXH6u/MkPgMhIEav1PpHFvW9DlH//NmVqMq9LqPp+P0b7XDPXIjq279sLte47WHUDVgZ0P2OQpuMMduDar4reUgoepfV+BkhGicy9lzjunL7b5qP31nY8qo5jV9wsy0nf8kMw8EtivqiiBrLWL/LiWTqA0BjlZUdPFzeclipgDbzPHM8tMtqjLCXTUZBzARh50CfVTPh3IaAWXyTc44dL78ELzeOC03xovY9/wTXLEvQiaz/LQBgAYZww6v/Alk39oHwy7+0vUda1W1FcvsWXIugbKSVSVoWkfWPArDHsoiFcssufLs5fE7sgDncMZiw1dsgt75FVtPNwsUAsKTBiKUKJ7L43lMHkBREeJ/X+A0TWQ0LhTz91wOGS/+u6xdiRpXRG8PVYEVvyFyFK9aHR7e0m9Peu8rI3JdFUV8u7dQHKFd/LGRKOPXju63IJG36OWhcMB+LhCiypsEEwoKDXtU55tf54HFJmF3jhc9xzp5RYQnIHo8bG877O3O8/vALkDv2ATCObbdkfY4aX+H1epogRi8VirwOxLMFPeTOJlJZzdZLISrEEPVE06h1XIc9CsOLTz1jjg8E5kL3W3E79aMwOIhIjNkK24vFxCuEHm03CBE8m44M2HpaFENptGra+AeNSDVn/I6q249pZ7QJQYjtPJOg6ReJ33Fm6ttFfUZOfYIgCIIgiAnlhEV9zvkj4/U3nl9oKiM69UfjThNFo7SqwyVL+MCls81pj7zWgq5wCg/Wvx+hCkOUkriOazd/B+DGw2ekyIOsS7GL+jrnCDncwE6H6ulIUIgACHhkWwYyYMTvuNMRzOraZk7rmHutOTyn1o9AThyoFhpZQsksdG78LmL8TtmJivqVlqg/nFO/N5ZBdpFV/Njd9Pr/Z++8w+S66vP/nnvv9La9a3fVqy3Jsi3bkm3ZxtgG24ADBgyEHkJPAsShpEAIoRMgvwRCCYFgQiAYm2JwAXfLyLYaVl9pey+z02duOb8/7sw9587c2V1Jq93R6nyeZ5+9fe7MLTP3Pe95v9ZwcceJdJk8Z4HJoRHm2N3QyAS3PSen0DCw2xp3rbsKktuL8HV3WdNiv78HVFPh/9bb4ctGrenaWB/UceYazmgGaiePWeOtm7fjd+Fd1vjQr74NAPDnzxtZy8CXZT1nQle/2hpuGD8Akr9mT44mbcJllyiWa3FqMm01RLpkgs5qH9I5He/49h4cHYojzgl8A9MZUErhHutC7RSL0RlddSNefXkb3nXdCmua5A0AQRZvVpUese7XnXV+fOa1F6Eh7LFFGfAFkwFTAHRz88U1OneymgFvJopt+76N0LP3QJseBwD0Pc0KnKurr8FFyyJYVceujZ6pjK0RNuJV0FTlwSUdYbTVsPtugWauIHpSMzCy4SaM1bJ6Cr7ffMEa1nTDcoQ7ifrLwmz7bVUe2/dDT3TpuvX5712fW7J9R+Z0iqxmoCniBgHQFHHj94dH0X6U1fvxrbsC40l2nZ6uUx+wN8LzX40hLzsGl6+sQaRggtAMPHZkbMZtepatYduZOgXAHrdFKZDlzA6KRGaNUBRceNic+osSv8N+uzvF78gSAZW5KEmRqS8QCAQCgUBwThFVuJYQ9kz904vfKbg+37Sz03KPDUyl8dUnetCfAh7d+Qlr2eaRfdhw9F4AsLkYC9iK5WoGYmmtxFHEF5+rVPh4i7CvNO8+pxvo6HsSMjU/AzlchwNuJuCsawlZw3xOr06BeFZDRjVsn0vIc/qZ+oBZdLVA/3S27IPeSCKHzEqWNdwxvhdD+SiH4mxWvjiwwM54Mmdzb67nond+vLsXW1IHrPGay0y3fPi6N1jTct1/xOA/vQa5I8+UbDtzmE1LqwZqp5hTv3HDVoxc9CfWuNyzD9nuP8KfF3+DKRa9QwlB8IpXAHkXnZJNoD1nOsNPjSZs58yEiN+xOMrl6a+q8UFPTOF9//UCnjtlRh3FkqxmxcB0FhnNwHIuekfp2ITv/93r8IXXb4Yn3wgYS2sYjGYg1zO3fnVqyBq++7Z18Cgydq1vmNGpD9gjeNIifmfOqLqB6x//e+z4w1fg//770XVXM/o+9lLQg8ypr67ZieqA2yxiLbMi1ge42hlh78z36GYufmcipcLlcuHZS95jTXPv/yXknhcAABmVWsez1kHUD3kUVOdfz++S0VHNrtme86guzekyyfXqq/a7bPUQAGAonsPyej+2r4ygKeLBPT/4P9s9d/2r34kxrmHgbEV9nrCt9oyE6zc0WOOf+8VhfOiH+/CFXx3BD5/qQddIwrZuoJ059X3pSaixiRInfpZrqBPROwIn+FPGWISvAMJn6ksuuBW7GUUmAJXdjssLBAKBQCAQCOYfIeovIexO/dPP1AeA1mqf1a28oyWCRF446m3bgclNt1rL73j2S/BmpsqI+nanPh+9U2C2ruqVAB9B43GVXiqqTtE0dtAaD1x6Mw4Nc3nczax4qs8l22JSJlMa4lxvBYmUOnPnSmvEa4XnZDWjJBKpwHA8i1THdms8ok7i+d1/MIvzaQZc++6H97dfBklOLul4h7OFd+k3hdxWA1osreJ3L3RhbZq565Mrd+LoUBJa7XJ417LPPrH7fmtYl5hQlOaE/nQygUis1xr3dG7CrhuvxTEvy+kef+C7iOVF+QCXp2+E6iGHquHpvNiatjFlRvAMRjPwctdo7DzoNbNQHB01r1/JUHH1D1+D7tc1YMWjn7W6smziGur6pzNI5XSs7GbCcOiqV9m2l87pODSQQM94Blp1G1suMQhFJrhsRY11v71hY4PN9eh2EPXsxXLFNTpXspqBNq5HFQwdqb0Pw5tjPVu01TuhSGZ83PJqVtz6dET9uoC7RKg92Xk9hqs4l/Y3Xw9p+ChSXLFcXtTnV++I+OCSCFyyhHauIa53iebqa7ppAihQE3CVRMENx82GNUII/t/DJ3DDqR+wmau2w3fRtTan/unG7wBmcV0nio8/H8HTN5nGz54bwL893IVP/PSPeNkXnsD+XtYTy1/fiqyLNQAnug+jOF2HNxKIIrkCJyqtUK5LLu1RZvDxO4b4fSEQCAQCgUBwLhGi/hKC/3l/uk59vnjrW6/phNslYXVHlTVt5/IqXHr3v4P4zIdSX3YaO579CmIZraTorV3UN2xF7woks/ridB0+DXK8qK+UXio53UA4zuJS3B0bcIQTgHinPmCPWJhKqyXRO9IZdrX3KhLquSK+/dNZx+VG4jlk/NXQWjZY04affQSqbsD3i39E6Dtvgf+Xn4bvvk/aYgAEdg5xDswNDUyk+e+nerAmdhAKzONKAlUYCK3DZFJFz0TaFsFTQG9Zj2e3vc8aTx9m0T3Z3sOQ8pE5uuyGq3kVbr64GY/V3WQtM/Kb/8I3fmOK9UEuT9+oMgs0+zayuKVNWVZ0N5Fh16RThNaFSFrV0Z0XS5f174a3+zkQULx68l7cGv01br64CX91I2tQGU3kMDXYi6ZR5hIO77CL+tGUZt2X1UirNT2UGILXreDjr1hvRWzsWFNncz1OODTO8Q2DolDu3JFio/DmYmXna20XgQZqrO8uPoInxX3OkVlEfVkiaCwq5Aoi4acr320VupbiYwh//ZVI9x6BT5HMP64HRlOEuf3bI17rmHdwDQ09M9ROOZ+Jpti9SJEJgl65RNQfipnfb6fGknjo1w/jiuQea17rm/4W8ZxhKzo8X059gtKIvF3r67GSq3fAk9MNfOreF63fR363jKmqTmt+qvcICCG2XH3+mi4WSwUCwF6HYTF+Q9ud+mXidyTu+hFOfYFAIBAIBIJzinhqWIIE3KX5707Ucg62PX0xPNNjusq2La/GFRub4CoITJTi1vX1cNW1ou5Nn7TW2Xj0/1A9fKAkBoJ/GI1ndEfxyaCmi7VSoZQiq84s6mc1A+F4P1unth0948zFvb4lbFuez9WfTKm2grpB95lF7xRYFpm5WK6qGxhL5qDqFNoqFsHjOvEUJn70Gfge+hc27fgT0HQhGDqhGZRFtFCKDdVA30QK7/j2HnzhV0exJbnfWlbZcA0gmddQOmcgdO1rrXEAIL4g5A/+N/pamYM/e/x5GDlTtNJ6X7Smx2tXg8gyfG4Zgatfixwxz6VAbgrbBh8yhzmnPqpbAAC+9UzUvyh7xBqeiLGGn8R50MC2EBwfT1kCfOv4Adu8d49+C5+9JIHmCItmoQBGH/+ZtUw83AbPis229fgeSWoV59SPD+Ebb9uGze2s4TTgUVCXj29xqUmQZ36C7CnWEwgoit8RhXLnjH+C1TxAqA733vht3Ft9O8Zc9aDeINIv+xsAzB29kqs5wROZQ0Qan6tf4Cl5E77c8kEg34AjxUZAP38rauJ9Npe+WyE2UT/sUdCQF6V5p340rTn2kjvf4fP0q/0uEEJKRf14FpRSfOreF3HH6P9a013LNyNw2S22nmoBl2zVHDkdqh2c+kFPacO7xyXjlx+6Gt9952X49Ks34b03rsJtW1us+S90R/Hr/cMATId1vHq5NS/TZ/bo4n9aCKe+YDYWO37HlqkvuUqd+qS4UK4Q9QUCgUAgEAjOJULUX4LMxaUPANuXRWxd0+/ZO4SDQ3H0T2cR5Ir0He2eRC6f9Vp9+/vhXs4iPdae+GWJuMA79flsdr9bQsDDHrArOVdf1amt54PbKX5HMxCOMaf+gNxgFZz1uWW0FwlDxU79BPfZBD1nViS3QFsVE4KciuWOJXOgMMV9dTUT9S+ZfAKxe/7etqw00QsjlyvpgSEATk6kkNMpiKHjjl+/A+RdrXjwvbfguf3HAQBbUkzUJxt2WcOqbkCpakBoJyte2/SBbyLSuQFjteugyebxo1oO2a69AACj75C1bLKBxXe88pqNtoK5t/X/EMTQbE59qSYv6m9gon59egARzWy4G5pk8R0UQFzUULDl6TeM2MV0meoY+9zroE8MooXLTcdzv7AGh9fcVFLYkr/GjRo+fmcIyxyE49q8IHzjox/HNQ9/BN3v2YyhL74F2qSZwc/H74hCuXMnOM5qUwz62/HNvkZ8s/Gd+MstP8TU53ugXnQLAFjROctrfCXRKMDs8TuAPVcfAHTdQDSewcPh65G4izWeStND2H7PG9CSYfUVAh7FjHrjXrs1ZH4XV/lctp4CSzGChzcIRPLCeqYkfieHBw8O4/j+fbgm/qQ1vf71HwMhxF4kN3j60TuAvQG+QLhMg47XLeO6DQ14w44OfPhla/G1P92KGzbas/az+aisZC0rnq0NmI2sdqe+yNQXzMxiF8qVDF7UL3XqK0WFciUh6gsEAoFAIBCcU4SovwSpnWOGrN8t43072hHOC8oGBb7zhwH813OD1jKJVA4n+6dxz9NmtjeRFVTf+m5rfvvAbgdR3/m0qvK7EPQy8TpRwaI+7w6U8znLPJRSSKkpeFQWxXJMq7WG1zaHbA9fgN39N5XSkMixz624W//pUuzULxbkh2Km0JEzKLSVTOh101K3J6EGpPFuaMXVjQVWnn7r0B60DewGoQZ2Tj+Bb556L26O/hYrst3Wssb6a9kwBQyDovED30TDu76Cts88hPCu1yPsVWDIbozWsUikQq4+6WdO/UwTK7K4paMK+y56G/T87bspO4g1XQ/YCuXKtWbUi9LQAbmm2Zq+Pm0KSd1jSVtme1zk6lt5+qAUNcMHSubrUyMY/KfXoM1P0DS8F9c98UlU97C4pMkNN9mWV3XD5rw1apZZw+HEoKMoH/AqqI6exKpTD1nTYo98HyffsRYTP/k8/IQJJKJQ7tzQDYqqqZPW+EG10RresbrWcs/LErEaZTyKZCsmXWC2+B0A9kYfAIaqW429e5pfhuTrv2LN88YGseUn7wAM81woNO5qlB3ber/Lup/zxXLLxaydz2hcbI5LMY9FsVM/qxn44gPHcOfE/0HKN7272tYieNUdAIDxsyySC5gNKMXMpUGnwEdvX2/9ZuibTOP7T/QAADJ1LL7LGDQbgnlRn+8g55IJhmJZUd9GYMOWqb8Iv9F4570hKSW/jSWJwJBEpr5AIBAIBALBQiFE/SVInX/uD7J1ATfeu6PdcoCqBsVQnIkFh7omQKmZF17ImPdveYk1v3bqBGIj/bZtFh7Gi6kOuBDi3G6VXCzXnqdf+n50CgRj7H0TbwAHo+y9rWsOlazDu//m36nPxJ5ETi9paCkUF1R1AzRUB615nW2+XtMOI8yK/sljXbbPQGBSyNNvHtlrm16lT+Mvhv/VGldqW6DVr7YtoxoUciCM6ld+EIGtNwAwM9IViWCocYu1XCafqy8PsbgctXm9NUwIwefe9wpMbLzdmnbZ3v9AMDFse/3CsnwEz4a8qH9yNGkTqS70XP3pjGrd9yLxPgRVVkA19KZ/soYzR3Zj62e34s7734iLDv8vJJp34PpqkVt+mW2byaJGS4MrlOtWk8jFpxz2hOCiF/+nZCpNJzD+3b/Bpq/fiJpJUwwsdjAL7EynVPzuxRF86YGjqImesqb3us3jsH1lDT56O7uuih2nqxx6UszJqV8Uv9PANbLv741C3vU2JO/8ojXNO3oUcu8+AOx7IMkVQfYqMlI581jzvfCWYoFrVecz5Z1FfQCQY4O4Yfp31njtnXeDyOZnN3aWRXIBIOSRUWyUD80heqnAyoYg7rqq3Rr/+oPHMZnIQW1koj4ZPQmqayWiaIFj4yl8+pGT+NvfnrDVPBJc2PCemcXwXRCDE/VlpaR3mkxgK5QrGeLcFQgEAoFAIDiXzJuoTwi5ixByZrYowbwyV6d+gbaIF39+ZVvJw+WaOj9i+ezt0VgWP95tuvVdzSuQiTCBSj3we9t6Tt3GZYkg5JVtTv20aticeZXEbHn6Oc1eJFdp7MSRIebaX98aLlmHL75Xmql/dqJ+yKOgihOcinP1R+J5p37+89bWXGPNS/obEH//z6G1XWRNk0dPIKtW5rFZLKJpFQP566F5ZN+My/q33AC16Inb6VwnhCDkkTHcyLLY04efgZ6IwhVlPWb01vW29RoiXlz+wc9YLuOa6Ek0j7LoH3cduz75Yrkb02akz8mxhC1O4kIX9Y+OpazhxmH2OU6FOtBy10cRueWd1jQpPW1bN6f48MSVd8PvsX/9FUca0WAddBdrfFNHekr2Q0tNY/2x+6zxIy3XQQrVWOOe8ZO4cs/XAIj4nZl49PAorvzkI3j7t5/Ddx/vRnWUOfV7XG24dHk1vvPOyyBL7N5e/P3HF8stMBdRvzbgshU03sLVVtnfG4XfLSF79dugrrjCmu46bsbIBPLfj0nVwHiKidOT+Zx4Xlhear1rDIPaREpFlmBQait6W+CVo/9nFSRXGtoRvu4N1jxb/M4ZOvUlQkrc+qHTbHj/4E1rEMqfL/GMhq89eBy0YQVoPluJ6CrU4VM2pz7PkXwcWEYzsKd32nEZwYUH79RflPgdnX3vUKn0fihL9kx9IeoLBAKBQCAQnFvm06n/3wAGCSFfIYRsmsftCk6Tujlm6vOsrgvgrZe2WFG+MgFet6UJd1zWai3z1d8eRzyjghCC5Oqrreny4Udt23KK36n2m44er0uyPcQmKlSY4N2BTnn6Od1AmHPqu5pW4MhgzBpf11wq6tdwxyWR023uu7MtlAvY3frFufqWUz9fWS1904dA112D8bYrsPtV34NR1wmjgeX9SmMnHR2SFzKHRwsFcg00DTNRP3fXl+DlsusBwL/1JchpxaK+8+cZ9io2p7423o/kc7+xxrOuIOTatpL1PMvWIXT1nY7b9NZzoj7n1F+dOQGXoSKZ1W3xO0vR9TtXDEqxO18kHACCvS9Yw961pvu+4c+/Bu86JsJSEPS2XoEHd30G33njYzi26uUlEVolPZEIgRph91N9rLdkX9oP3W9FeiXlAP4u/F4Y//Q8wi95s7VMXcGpL+J3yvKdR09ZhdiDyCCUZL1YVm6+BP/5Z5cj4FGg8nEvRY3RK2p8tnGJzC0mTSIEd25uQmPQjZvX1uKa1SyWbSiasSIztDU7renK8SeQ0w3ruzOV09HL3cMnEioopXZRv4Lj684EtUi8d8mlRXIBYN2x+3Bt/8+t8ZpXfwREYd+tfPxO/RmK+gBQVVQs93TidwCgJujG+17KnPk/fKoHquRGLMQK6eb6j0Iuk50/kWDv49h4ynEZwYXHYhbKNSiFTPn4ndJnDUUiMDixXxLxOwKBQCAQCATnlPkU9f8LgAfABwHsJ4Q8RQh5CyGk1O4mOKfUnuGD7JbWMP78ymXY1hrGu65YhsaQB39x8xr48kLGRCKHbzzSBQDQ1u+y1vMff8KW4S5LpKTIYFW+9wAh5LzI1c9qszj1dWpz6ueqliHOiXjrWkrjdyJeha9/iH7OTX+28TtAca4+i1AyKMVI3ulZEE5oqB7GR36JHd96GtuuNMVKvZ4JEPJolxD1iyhE79RMdcGbF14NSNhwx9vR/vnHUP/2z0Opa0Pg8pcjdPWdtigJoFS0KhD2KEj56xELMrFn+jfftoYnalbB53I+P2pf/3HH6b4GJup7V24FcZmRIG6qYmXWvIYNbv9iFXodLgSPnZyyOfWbxliR3MjGK5HTDEhuD9o+/QBq3/RJ1L/jC/j52x/Fz1/+HRxZ8wqo7gAAwM8dI0qpLV6rgM5F8OjjfbZ5lFKsP/Df1vjva25EDB7c9s0XcV/Ta63pocQAJD0nMvXLQCnFYa6B9YYa1mCjKj7887tvQTAv0PJ1Q4qd+kGPYovSCXsVm0t2Ji5fFsHf3bgSt21oQEPEixauwfX4cNzcF65h3NX1LBJpVvg2rRro4UT9tGogmtJsbvGl5tTXOIVSJmbjSPF30Pqj9+LGRz8OCfnG6VAzIi99mzU/req2HnB1Zxi/A9h71gHlC+XOxJuv7sSyfOOQZlD8sXcaU1XLrfm5/qNl43emskw87ZpILUp+uqDyWMxCubpBIRlc8fcyTn0RvyMQCAQCgUCwcMybqE8pfSuAFgDvAbAXwJUAvgPTvf9vhJBL5uu1BOUhsBdkPV02NQXxtstbsbEpCABojHjxZ9cxB/d3HjuFwak0XDSC2IQAACAASURBVJt2WdM8sSGoA8ds2yl261f52T7xwkSl5urz0TPOor6BSJyJcmMelkffWu1D2KHQniwRm/svxYlyZxu/AwBtVUyA4p36E0nVEq9UTjjR8yKzNy9G6g0r2b6OdtkiiC50dIPiSN6p3zLM8vQzjesgB8IgsoyaV38YK3/Qi7ZP/gJUcZfk3ZYrPFxwgA5xETyp/SwveqJmDbwOvUUAwNO5CcEdd9im5RQfPOEqa5y43PCuYXnvhVz9NCc6X6hO/YHpDH7+R1ZgOBtPoj1xwhofq9+MrnwBXTkQQd1df4uaP/kQato6S7bld7NjlNWco8UoVyyXTNhF/cT+R1Ez1WWN/7rmZQDMxqAv7cnAyH9dS9RAJN6PjHbhNsTMxHg8i4kEi2C5azlXULZpNY4MM4GU7z1TnKkPAKvqmFt/LkVyy7G5g12Pn7nfjMDSll8Gqpj3bJJLQut6zlomrepIqjoG4uw+3juRsX1PODUanc/wjZ5K/vcDL+pvPPwT3PjYJ0DyxXEn5SpMvetHkDzsGPEufZdMzuqYFYv6Ie/pf0d7FBl/fSurX3NyNIGpSKc1nus/WjZ+h3/vOZ2ityhST3BhspiFcnWDQuZEekpKry+J2AvlysKpLxAIBAKBQHBOmddCuZTSOKX0G5TSSwFcAuCbACiAPwewhxDyAiHkXYSQUhuzYF6I+BTH+Juz4Z3XrUB93rGYVQ188ddHEW5oxljtWmuZ5N6HbevwUQYhr2zbpyD3oJ3I6jaXf6Vgc+o7xe8UZer3kDpr2MmlX6BYKCgQmGen/kRKRSrvWHy2j+Xx8g0UhQfCgqPcaGBOfWl6CLkEc7te6PRMpa1GmCauSK605ioMTJWKLU5Fhss69fPXwzAXwcMzUb0KXqX8+VH7OrtbPxloLLkH+NZfaQ2vTx8GAExz2dMXYqa+qhv43nODVmOL3yVh6A9Pw52PF6CKG3rrJsTSWsk9qpW71goEXLP3QKI1zKlPJuwFxifvZ4WWe9p24O6334qW6rzLl7gw7Gqw5ldN9winfhkODcat4fqQB+4x1khjNK1BNKVhNF8bQ3MQknkuamL38vaq0mM+V27bynrhjMYy5v3B5YW2/HJrunzsSWs4la+XsH+YvZdUTgfhTsOkqi8p97ZTFFLhe3jToR/jhif+wZqf8Nfjb1d+DmsusRen5ovk1vndJUU8T4eS+J0zcOoDwM0XN1nf79mcjmiRU7+cqF/8dXE8n7EvuLCxxe9QLOjvZ53a43QM2fma4EV9SRdOfYFAIBAIBIJzyfyqvxyU0n2U0vcAaAbwFgBPA9gC4N8ADBFCvkMI2XauXv9CpfYM8vRnI+BR8KGXrbHG731uAGPTGfS1sIzpYlGfF8Kri7rA8/E7qk4rLuZFN6hNLHF06qs6wnFWyPRQlhWzXNdSmqdfoLrM8QnNQ6Z+jd8FP/e5909n0BtN47dHx61pndXM1agZFJRSS0wxqlqgK8ztnxlgYtiFzqFRJqg0DrLMdW3F5RiYypYs7yTgl83Uz4tFQw2bHedP1Ky2Fd4sxrtqK8ZW32CNp4ONJcv4Nu6whjemDgOUYmyaxX0stSiPuXDfi6MYjLFjF9ANrEwcscb1touAfI+L4l4WrREPivGXcVG7FabC0Frm1FemmFNfHetH5tn7rfEDG1+PGzY24sG7r8Hbdy2HRIBBNxOGq6Z7RKZ+GQ4PcLVNWkKgA9wxbTS/xwajWRiU2opZuxzE1Y1NQdy1pQk3ranFy9fXn/E+3bK5GT/48+3Y1BaGQYGhqHntqVyufvDkU9ZwocFmMqPBpbNoqMmEZotwW0rXrVOviaxuoGlkH65/8lPWvIS/AT+79XtQm9fYYo2A4iK5Z/dbqCR+5wxd/4os4bIV5u8DVTPmFL9DUfr9IXL1BQBKGoEWslnPjN/hRH0Hpz4AUE7sl+jS6lEkEAgEAoFAUGmcM1GfQwbghpm3D5gJMR4AbwXwB0LITwgh5VVQwWlR5z/zwnAz8erLl2FtM3Mt/sfvTqCvlbl/UwceBdXZj/eWKg98LgkRn4KmIgHMJUs20b/ScvX52BmC0gKKAJCbGLB1Q94TZ5/NuubyTv2ack79eYjfIYSgjXMQd0+m8YPnh6wYmBq/CzuXsxgI3aB2sVKSEIt0sNHREzCWkBP0bDg1YYpwvtQ4apPMYa2t2G5+jkUi/uk59c1jP1671taoUmCiZnXZ+J0C/TfejZzLzHbvWXdbyXzvOnat1uhTaFRH0M+JRBeaU//QSAK/75qyxq9dUY3f7h3EmjSLEdM6WJtz8fFsc3Dq20R97vOs4cRFymXqu6Ksp8/0A98E8lnF06FWDHReC1kiCHgUfOIVG/DTD1yFAU7Uj0z3Iq1VZi+nxebIEBP117eEgUF2TPUmU9TPaRQTcbXIqe/smN6xvBq3b2ywFak9E3aurcN9f7kTX//TrYjmxWeNy9WvH9oLI2f2+kmpOkApXvLoxxD6izYEfvBegJoN4GtqWZmi+BKK4LE79c37XUY1sLqLFQ1PBpvwf7d9D9GqTixvCpU48ccS81MkFwCqucjAuRZJLsf2lWaxZFUzMBVhor4eHQVJRUuWVx2+d7smhKg/3xBCvISQTxJCjhFCMoSQQULIdwkhpZXp57a9VYSQbxFCuvPbGyOEPE0I+ch87XNxG9BC/kbTaZGo75Cpb05n157I1BcIBAKBQCA4t5wzUZ8Qcjkh5FsAhmDG8GwFcB+AlwEIA3gjgIMA7gDw9XO1HxcStX43rltVM/uCZ4AsEXz09vXW+DPHJjDUfAn0/I96mpxG5sTz1vygV8GWjjA2tAYdu5fbc/UrS5jgew64FcmxC78+coot76/B0Um2zvrWmZz6pQ9BbpnA7dAb4Exo45yLDxwdtzmR33RJM/xcjwCD2sVKAmAi1G6NS2MnMZ0SD2QAy5xvHtlnTTMizTDyIm2x6Ovs1C9fKBcADNmNsfpNtnlJXx0y3uoZ43cAgC7biO+/9lf4wZ2/QN+W15bMV6rq4WpdbY1vSB9B3wTrfZBSjZLCvkuVnGbgB8+zXjYtYQ8a3BKGpzNYlzlqTedF/axmP3Y1fhe8RddsoVAupRRJTmy1ifo17Ppyx0ehJ2NIH34G0Qe+ZU0/uOF1cLvsjX9bO6shNbGaF1WxHhi0fENROQxKcWAojmNjySXbIHCEi99Z3+SDNMbu1QWnPgAMRDNzEvXnE0kiuHVrC27ZbNZg0TouAXWbIr2iZ5F48WkYlCKjGmgfeBobjt0HAPD84UeQh80eB5vqg5awt5Sc+o7xO7qB+gnW02LvxjdhOt/wXOfQsGZz6gfPzqnfFvFahZIvaQ3PuUiyE1esyov6uoGkvx45F2uYoUPHS5Z36r2Y0+lpX++C8hBCvAAeAfB3AIIwn0/6YBqOXiCErJxhdaftvQrmM83bAUwAuBdmfbHlAN41X/stFf2eXkjfhW5QyJTdc2gZUd/m1BeZ+gKBQCAQCATnlHkV9QkhVYSQ9xNC9gN4BuaP2yiATwLooJS+ilL6G0ppmlJ6D4BLARwC8PL53I8LFbdMsOwscn9n49p19bh6LcuOT8JrywFPFUXwzIQ9V7+yfvTPlqcPAPpojzWcDLdZD1Yel4TOukDZbTs59YNn6QDl4XP1c5wAcO2KaqypD5Q0sKRz9siDKOfUl0e78MSxcQjYOcqL+uqKywFiz34u4OTUn61QLgAM1F9smzdRYwrxHpnMmJ/td8lI+esxVbXCMS4KAHzrr7KGN6QPI1Pk8l1Krt+ZODqWRCz/XhWJ4C2XtuAXLwwiqCewLMfc81on59QvirqRCEFL2N6rouDUT+UM635AYN7rCtedUdUMygWonLizFr1/tQN61CzWq8keHFp7h2PPjOWb2LlRNW3ef9KnWSz3qe4ovrm7H199shdHx5ae8zer6egaSVjj66QxkLyoRCUZiSp2f0vnDNt16xSDcq6wIugUN7QV263pXY8/gIxqgFKKK/Z8zbaOe68p8PtcMlbVmKLwUrpmnRpYsqqOuknW0Hbc1WkNu1ylDZ22TP2zdOpLhODu6zrx17s68eZLW2ZdfiY2tYUR8MjQNAMgxObWp4NHS5ZPquy48mdl9gJpeF0gPgbgKpjPKmsopa+llG4H8CEA9QC+O9cNEUI2A/gfAEkA11BKt1FKX08pfSmAVgCvm6+dLr5LLWRdDaM4U7+sU58vlCuMIQKBQCAQCATnknkT9QkhPwAwCOBfAGwE8BsArwTQSSn9FKV0sHgdSqkGYA+A6vnaD8G55aO3ry/omEimVfS2slz91L5H5rwdPlc/kdVhVJBrlBdkPUoZoWeUuT9jIdZTe21TqGzhO8A5Uz84D9E7BdocGnXqAi68YqNZZLO4FiSfy+1WJEQjnda4PHoCz5+awoUOpdQSz5q5Irl8kctiUd/JUVnOCc8XYBwqKpY7Ub0KMgEGJrPYc2oaY/Fc8eoAmEscADxlCmXbi+UegUHtOeIXSgRPT5QVNt7QGEB9wI2H/jiC1RnmmKWBahh1THhzcs7yETwSMRteAHv0jt8jQ5YIy9VX3MgEWcHbQuROgcOrb0fGW+V4DLdfxc63UGIYspY97WK5hznB+/BoYoYlz0+6RhJW45lLJqiKdVvzjLrlGFOde0uZyy9EGqEJH9WkchE8A888hNF4Fst7H0XT2B9t6/gO/MIavqg+CJmQJebUZ+dywamvjfXBm2VxSrszTFzP5GvC8OtH0+zzONv4HXM/JHRU+87KpQ+wXH013wjH5+rrXDxUAf64rm9kJgGnxmLB6UMIcQF4f370vZRS62ZIKf0ygAMArjmNul9fhxkz+hZK6ZP8DEqpQSl9bh52G4AZs8h3Klpop75d1HfuDSOc+gKBQCAQCAQLx3w+xb4Bpiv/nwGspJS+nFJ6P6V0tqeQewF8apZlBBXC+pYwXrmtFQCQyem2YrnpF5+CkZmb+zPgkS3HEaVAqoIch3ymfjnXMxlnTv0pf7M1vK6lfJ4+4OzUn488/QKNQbdNqCUA3nRJi/U+CCE2YT+t2gt6ZmpXWOPS2EkkczqODbE4i7lSSY00Z0tWM0AByFoWjWMvWtNtor5aLOo7OPXLRCe4FcmKchlutBfLnahZjWURb969CwxFS4vyAkAz5xpvDDmLWXyx3OXZbvj0FCSuzF5sCQmEM9EzxQoEd1T78MzxccQzGtZxefpG5zarFwbgLOrzxXIDbtmK6eKL5AbzMWNu7qKLttl1IuLxwbdxJzIv/wieuuLDAJzvO62r10In5vYIKCKxvtMW9aNcg8P0EmzEOcxF76xqDCHWxa7XdN0qGARoqXbuzbYQ8TsFvC7JEq7TK7nrMnYIX/75C7jiOYdEwoHDkEdMV7fPJWN5lXdJifqaQ6Y+eg9a09LhFgxk2L0tp1PbOTyZUq27mUTMiKxKYvvKWqj5+8hkFfueVblCzgWSXA+6K9pZHZyccOrPFzsBVAHoopTudZj/0/z/0gI1RRBC1gO4GsAxSukv528Xy8NH8Czkby2dUkj67PE7hiwy9QUCgUAgEAgWivkU9e8E0E4p/QSltGfWpfNQSn9BKf3kPO6H4Bxz88VmHnA2p2O0YZNVoJNqOaQPPTWnbUiEwM/l6icrSdTnM/XLxO/IE73W8KiXF/Vnrvnsc0lwF4lHQc/8ifqyRNDOiVbXrarBqjp/yTIFMjneHSkhV88chFJyEi1KCj/e3Tfn149lNHzqoS589NfHcWJ8acR7FMTu+vFDVldy6vJBX8biUIodlDmt9EHboOW7yhcieFL+etCWddb04YbNqPEycUot49Tc0BjA7RvqcfXyKtzMRWTxuJethxSIAABkGFiXOQaVE4XjS1DkLYZSip4p5tTvqPLigQPDAIC1GeciuYCzQ3Z1nd/KNudd+7xTv9Ajyc31+Om69bN4YvuHsfu6v0fH15/H6p9G0f7FxzH9sruRcwcBOIv6RFaQrWaZ/FWxHluj3FzgRdCl2DPj8CBzdW/tqEKmjwmmQ8EOuGUJIa9s6ykGmI2fC5i+A0II1jYF0Bh2Y497hfUdqlAN6x7/HOonWCSLUsvc6dWHfmUNV3ldSyp+R3WI35H6mKg/VbcOmmYgwzVkDMVZI+dYkomH1T7XgsYpzYUrV9dC1ykMSm1OfbW/NH4nk3f0u2WCi5qC1ntZOk3l5SGEfJkQ8rfn+GUKrecvlJn/QtFyM3FD/v9D+cK7byaEfJ0Q8jVCyDsIITP/KDwD+J4jC1oo16A2kZ535NuQ7E79pVq/RSAQCAQCgaASmDdRn1L603ycjmCJc8WqWsgSQTanwZBc6G++zJp3Orn6AV7Uz1WOOGHL1C/j1Fc4UX9AZnEa62cR9QkhJQ7CoHv+MvUB4JUbG9Be5cX2ZRHctqG+ZD4v6vOioEsmkCINUD2st0Frbgg/e64f2TmKhw8fn8BIIodETsdjJyfP4l1UDofy7t8WLnrH6NwKyOw4lsbvOIvvsxXLBYDYG78Gsu1WPHrVxzBZswrVvKivU8cHZIkQ3LS2Dq/b0owqh94gAEAkqSiC5zCSGfaAfiE49SdSqu1e0xL24KGDIwClWMs59XPtl9jWc3LqN4Y8ePtlrbh+ZQ1et8Vs6NQNihTXUFaoHcJHu7hDNdi7+a04uOF18K7aCqK48q/Bjmu5+06oY601XDXdgxOnEaFjUGoT8peiU//IABP1t6+qgzzMjmm3vx0ehYAQgtYqez0ERSaOBdHPJSGfghUNfiQpwUATa0S6YZQJ9/1rbkbVbe9lK+35uTUYdMtLxqlPKbXVHCn0YnANsp4WI1VmkeNEikWQDcfYMF8kdz6id+abja1hBD0KNM3AVDXn1B88Admwx6pl898TNX4X3IqEzmrfgu7rIvM+ABfPutTZUWgd7S8zv79ouZnYmP+fBrAPwPdgvof3A/gWgC5CyDVntpvOSIsYv0PmkqmvsN8gkqGWrSckEAgEAoFAIDh7Fi5EVrBkCPtc2NJehUxeHOtrY0Jh8nREfS52plLidwxKbS5rJ3HNyGWhxIas8QGl0Rpe1zxz/A5gugh55tOpDwArav24+7rl+NNLW2yxHwV4ByOvPbtlCX6PgnhVpzWtPt2PaErFU3MomGtQiuf7majG5xufz7yYFwr5Irm5zu22ZXjRl1LqmKkPAJpRKg5HUyo6Il4rNmmyZQv0D9yDA5veAAAIc+cHxdkVxvNyov6G9BFMJZiYFMtUxjV4LuFd+vUBF17sn8ZkModGdRTVetSap3XYRf2c5tyYsqU1jD+5uNEqysn3OJKJ2TMHMCOWChSmZTXDtk3+HPKWEfXDNlG/G8+dRs0Ls3YJG19qoj6l1Irf8SgS6gJuyCOsTsJk1QrrflgdcNmKES9k9E4xPkVGf8vlJdMpCE5e85cI7Xy1Nc3o+yOk/HsyRf2lcc0WN3Yq+ePk40T9Hr8phCdSrCGSd+qP24rkVlb0DlDI1a+GqhmIhtth5KO0YOhQJrpty2Y0HTWTJ3D9fe/E6H/8FVbXOkdGLVH6ce6fTYL5/+W6EyaLlpuJQk2wvwBQA+AOmNE+awHcA6AOwM8JIc3Oq9shhLzo9AdgJbeMtfzCxu/YM/LLxe9QmRf1tbJmBoFAIBAIBALB2TOvP5wJIX5CyCcIIXsIIVFCiF7mb2mpCRcgO9fWIZszDyOfq589uQ96fG4ObT5+J5XTK6KLrloUm+J2ENe0sV6Q/L4aRMK4xxT1m6u8qJqDQ7DUqT+/ov5slCvk61IIfC4J0UiHNa0q3gsC4OnjE7Nut2siZcvsTlRQ74uz4fhoEqAUzcNckdwVdhGOF32LBX0XJxgWz0tmdRweTKI54MGWJrNBKJbRrALGErEXwXXaxungW3+VNbw+fQTxBBO5LwSnfnGe/gP7zeidNVz0jty4AjRYW7Jubg6fOx9hFPAqlvjCx+/4FPN4GhTQ8sU+u8fS8EkSfPn7TTmnvqt1tTVcNd2LFwfjc75vFov4adVYUhndY7EsJvPC7tXrGiBPD4Hkktb8qaoV1v2cEILWaubW97kW9h7M43NJ6G/dXjL96KqXw2hdB3franhWsBQQ9777AQAB19Jx6qtcaxOB2SBmpOLwTrIkx0Oy+b0U55z6QzHn+J26CnTqA8D2VbXQNAOG7MZ0eJk13TV63LZcVqe4evfnUXfiUUzd+y9YffK3C72ri8m9AK4lhMzukDhzrJJOs8yfC4WbhwLgjZTSeyml05TSY5TSNwDYA1P4f2/ZLZwm/E+4hfzZXFIoVy7TeMZn6utq2Z6LAoFAIBAIBIKzZ95EfUJIBMBuAJ+EmUOpwPxhPFxYJP/XC2DuId2CimTnmjpk8y7ByeqVSPnyIhilSP3xiTltw8+J2brhHHGx0PD74JKJowCuDp+0hhOBRqjUvIzm4tIHHJz6lSLqyxL8LhkTIdbjXBnrQsTvxpNzcOrv6YvZxpeK4NQ3mUIk1gt/hjVWacsvK1mu0MODf4CViF2gLXasxbjeDG0h040Zy2jI5M/DkFspiQU5K1F/3XZAMvcnYKRQO83O5aWYsV5MNyfqt1d58eBB8+uJL5LrWl16bAHnXP1iEpnSIrmAvVCun3OIZzQDY3EVQ9NZ+BUZW/MNO+VEfXfrGmu4aroH8YxmKw47E9OZ0oKFS+mYH+YKeu9YXQ9phB3ThL8BOXcQHu441IfcaKv2oDboQvsiOqG9LgnjNWuRcbPoNoPIeHbbe0DzYjfv1i+I+i5ZQq6ot8f5SnGePiEE2W6Wp59z+dFNzCi5RNLu1C80TNnjdyrPqQ+Y0YVqPi+fz9XnY6IAIJfLomWYxb0HDj1YcTUCziH/APM54deEkK3n6DUKN4tAmfmFQkRzyTcrbGuAUvqgw/z/zP/fNZcdo5RudPoD0FVYhixW/A6lkHTue6ScU1+xZ+oLUV8gEAgEAoHg3DGfTv2/AbAJwH8ACAP4KQBKKW2F+cP5LTAF/mcBrCizDcF5wuaOKlgGZEJsufrpA4/OaRuKTGziVSq7+D/8bUVyywhr6vApazgWarPiUC5dUTOn16jx2x+EAp75zdSfjXLigEsmpqjPOfXlsS7Uhzw4OhTHWCyDrGogmlJLhCTNoNg7YBf106pxVlExlcBUMod4Vkczl6cvt64FDZQe68K5w8c3uRTJFu1RLMjz51vALcMtE8SyzKkf8ZaeG2fzgCz5gvAsZ67fzskD1vBSd+oblKIvynomZDIqRvNO301pFvMhrXIW9bPqzJ87pdTm1OeLsbo4p75XkS2nZVYzbOu05Bt2yor6LcypH0yNwk+z+PX+Icdli5l2iMNaUqI+d//pqA9A5kT9yXyGOd9jghCCZbU+rGkKwLfADas8PpcMKtkjeA6veSWmIx04OWr2NAhdzUR9pf8gpDGzMc6ryEjPcl6eD2i6vTEdADInWdzZeM0a5LVweGVi2ajTqoF/faoXyZyOcd6pH6xMp/7G1jBo/q1OVrGfwRIXE0UpRXjsKFwaa4DMvPAgOovqQCxh7gOQBbADwHOEkH5CyNOEkN85/D1yhq9RKIrUVmZ+W9FyM9Gd/98zy/yGMvNPG75Q7kI26hlFmfpUKlO/h3fqG6qI3xEIBAKBQCA4h8ynqP9KAIMAPkApzYDr1kopzVBKvw/gJQBeBeDD8/i6gkXAJUvY1lltPVAMtHDFcg88Nuft+D3sFKyEYrm8cFdOWLOL+q3QDQpFInj1ZeWeD+0UO/VDleLUVyT43RKikU627OhJSyDZ3TWJ/X0xHB5M4tRY2rbu4ZEEUg7iUiJ3fouGe7un4HbJaB5mApOy9krHZQtObl50d8vEJuprRYJ8sfu7xuvKO/XNayHi0OBzNk59APBtYPu/IvpHa3gpCbxODMezVoSORIAXTpg9LwJ6AqszlgkSZN1Ox/Vnc+qnVcN2bMI+duyKGwgLmflZzbDl8HsVCdVepXyB7vplMBQm7jVmB/HrfUNzEnaiDsfXadr5ypEhU9SvC3ngdck29/NUXkD1ONQYWWwKkUt/2PZupOtXYbR5G56+/IMAgEN9USSzGtxta+HuvMhax73XdOsHl0gED3/dFIpKZ0/ut6aN166zhMG1TUHs6Kyy5nVNpPH5R0/ZinHW+SvTqa/IEqrzjfq8U58McUW6dYomrn4LAOixcWzK2CN6ljC7ABTyqAiAFgBX5Kc7/Z0JhZPrkjLzC9MPlJnPU2jxL+fqKGS5zb2q+SwsZqFcyWCNZ1QuY0jhYnmIiN8RCAQCgUAgOKfM5xNuB4AXKKWFX3wGABBCrF93lNJDAB4D8OZ5fF3BIrFzTR2yeSGed+pnT+2fe65+hRXL5Z3THlcZUX+k2xqeDrdB1w3ceFEjGiJzi3AoFvUD81wodzacnPqEmDnGfpdsy9QnuSTalTgIASQiW4V1p1L2KI/n+u0u/QLneyHHF3qicLskNI4zJzdWlnFyF0R9zS5QuSR2HqlFT+DFQnG1z4VYVrfct+dE1Ody9dckDrF90akV+7MU6Z5kLv3mkAe/zUfvXJR6EZL5dQU5XAeteaPj+rPFg/FRSn63ZImTgOms5K87fz5XP6PqSBU1ZjYFPWUL5RJJglbXyZZN9+PUWBK7T8xe88KpMO5Sasg5ko8h6qwzEzX4IrkFAbVc76vFpJDnP167Dnve+zvse9tPkc7H2SUzGn62px8AENr5J9Y67n33AVg6xXJ5J28iq6F/MmUT9cdq11oNoutbwrhzcxOu6ohY83mXfsgjw7uINRJmo7nK/J0wWb2STRw+ZoWjZzQDTSP7S9Zr751brOESYPlp/J1pr9+nAEwDWFkm4qfQNeaXc9jWIzAL664khCxzmL8r//8Fh3lnxGIWyiX6HER9RTj1BQKBQCAQCBaK+XzCzcDsMlugoPI1FS03CfPHuOA85+q1TNSfqloBPVhnzqAUqYOPz2kbgaJiuYuNTdQ/jfidN+7ocFzWSNoNBAAAIABJREFUidqAC00h86GnLeJZ+Ex9uVTUd8sSCCHwu2Xk3CHkAnXWvA59EC/b3IKaIHMIq1xh2Ixm4MCQc6534jwXnPZ2T8EtAzVTzMltLNvsuKwVv8M79ZVip375+B3AdOpnNcMSYJ1F/bMT3n0bmKjfkhuEN8XqJSwlkbeYnijrXRJySxjI5+tvSTEBzb/5OmiUi2jh1s9pMwsT0yn22UV8pU5hW7HcvOiYyhklhQ6bgu6y9x4AoA1Mx6pPmeVpvvm7k+UWZ/vncGydpp2PZDUdXSOmEXZ5fRAA7PE7eae+uwKd+l6+xoJq2Aoyq7qB/3y8G4ZBEbr6NdZ0pW8/pPFuBNxLxanP7mm/2jeIXf/4MBInmEl6vHYd9Pznsr4lDFkiuGtrM166prSgdaUWyS3QWWs2Ok1xPeKQSYBEB81BXUezg6jvefFhKMS5l91SglLaczp/Z/gaOQD/mh/9V0KIla1PCPkrABcDeJJSuoeb/j5CyBFCyD8XbSsF4OsAXAD+vWhbN8M0MVGY0aTzwmIWyuXjd1CuUK7CO/U1aMbSNQsIBAKBQCAQLDbz+YTbB9OtX+BI/v+1hQmEEAXAZQBmtxUKKp7l9QH2REEIRltZJvBcc/V5p36mAjLYc7b4HecH6BxXKDcWakVDyIMrV5WKC+WQCMEHdnbgT7e14H072ksKoZ5rnOJ3CjnG/rzYmKxm7W6ryChes73dtjwFrGN1cChuCVE+l4TWMBP/E+ex4KQbFPt7o2jMDEDRzfZKSiRoTaxYKd8+Ujh3iqMkXGVEfUppiVBcnY9sGU3kQACEnUT9WcTl2VAaOiDXtljj9YOsXsBSFvV7p5hTf5QrmHuFynph+DdfZxMY+UbHmZz6lFKbUz/sLz1uLk6o9+WF3KRDo1eD3w23Q8NbAdK0yhquS5ou7seOjOHIoHNvmQJL2anfNZKw4ldWNARBklOQ4mPW/IIrutw9fTHxcedFWtNtGfmqauDUWBKPHRmDp3093O0brHmugw8sGac+f8+Mp1U0Zweh6Ob1ahAJEzWrLaf+hlazoDAhBK/Y2IA7NtmjyusrXNTvqPUBAHKeMOJe9ruh0LNEmxpFJN5Xsl72+B7U+yu3B8J5yKdh1vi6CsBxQsiPCSG7AXwJ5jPKW4uWrwOwFkCzw7Y+CdP9//L8tu4lhDwF4FcAFACfoJT+Yb52fPGc+hSSPnumPrXF7+RmbRAXCAQCgUAgEJw58ynqPwFgEyGk0Cf6FwBUAF8jhLybEHIbzOK5nTAjeATnOYQQ1AbYj/ejNawXc2qOor7XJdlcR4sZwUMpnbVQrp6MweCihWKhNty4sfG0hfmIV8H29ghCC1wkF3CO3ykU8vTnxcZYFWufq0/1wa2UigkFIea5PiYmbm0JoYrLEo9XQO+LM+XoUBzJrI7WOJe33rgSmsRilgJcIVtWKLe8U58XjHMOXdLDHgUyMUX9oFt2bIA5W6c+IcQWwdM4xFIBlmqxXFU30D/NRP09x8125SptCk0J1kjn33y9TWAMcMVuZ8rUT+UMW6Z32KHAMe8SL8TvOPVOcskSZJS/n8gtTNSvTzLx71u/n9mtP51WS6edp6L+I8cn8I1n+tCTb5w5PMB6Cq1oDEIeOWqNZ90hpHxmz6PKdOqzcyytGkir7JwoXOvffczsHRbY9lJrnjx0GIElkqnPN3bG0hpWZLut8WikE5rig64b8LokdNYHbOvesLoWf7qtxaxfIhFb3n4lEuS+88fDrPHcM3oclFJEDz9tTZNrmiFX5zu7GgaM9LzFslc8hJBNhJB/IYQ8RQg5Sgj5PDdvByHkA4SQcjn2s5Kv/XUdgH8EkIJZF6wTwH8B2EopPXGa27oewMcBRAHcAmAjgN8DuJVS+pkz3U8nFtepz75HSJn4HcI79Q2tpJaQQCAQCAQCgWD+mM8n3P+BWXzqSgCglA4C+BiAKpjdXH8O4HYAIwDunsfXFSwinTV+a/hgaIs1nD11AHps9g4ZhciXAosZwaMZ1FZ0zClTXx1h0Tua7EbSX4eXbGwoWa6ScXbqm++1cCwmw0zUl0e56BnuCTKnUySyGg6NMqHh0mURm2hxPjv193ZPAQAaY+z9Kx0bbfE6QZuT2/xsip36Cick8uJVzqGwsEQIqrwuZDTDMXqneBtnim/9FdZwE1cvYKk4t4vpn85a17YiERwbmAYAXJxihYKV2la4WlfbGk3446vqtKwrMsYJ5gGPbGvIKWCP3zHPCVpG65gprcDNifo18V5r+P4XBjEUTTutAt2gjo7u81HUH5jO4Gd/HMXB4QTu2TsEADicL5Jb5Xch5HVBKs7Tzze6zhRrtFj4uO+ZtKojxYn6Wr4h6clj4zg1loS7ba01Tx7tQtCtzCjqR9Mq7tk7hAeOjM2pmPJiwV9zsbSKFVn2PTteY75nTadY2xx2/P7a3h7BZ25ZjX++ZTVW1flL5lcSfq4RZ5IrltuQ6kZ/Kgtfz3PWNN/6KxHYdpM1bmQuDFGfEPLXMDPoPwDzmWIVTKd8AT+ArwB4Tenac4dSmqaU/h2ldBWl1EMpbaKUvoVSWtJVglL6D5RSQil9S5lt5Siln6GUbqCUeimlVZTSl1BKf3U2++gE7yFZaKc+4Z36ZeN3WG8ZoqtC1BcIBAKBQCA4h8zbEy6l9ElK6ZWU0t9w074M8wf5FwB8G8BHAGzKC/6CJcCGlrA1PBbpBMJM4D6TXH2nOIqFIsuJrBJxdrTb8vSDrQCRUBus7O7+xcwlfmcsxOJ25DFT1H7m+Bj6J1LWdFUzsHcwbomlEa+C1XV+W42A8zka4oXuKcgyQf0UEwh9yy+yxd8EOSe3blBoBoXKObpdMoGL+7xVg9UiKBfnUp13eUc4tzcf4ePk8D9dvKu2WcPNU0csdXkpuH6d6OHidhRQy914vXTYmu7fcgMAe7xRcRHrcm796TSfp+/cGMP3/PHlnfr8uTGUYCVpnBp8CnjbWPyTPz2BFSFzWc2g+M/Hux3XiWc1OJ0152MjzkCMfU7901kkczqODJiifmchT3+4NE8fgK14caXAi/qpnG67vpdVs15BP/1DH9ytXPTX6AkoEkEqV/5ceeDIOJ7qjuKXh8exp0wx80rAFr+TUbEiw3qdjNWZor6uG9i+srwx2+eSbQaBSoU/3lPV7NxU+49iPJlD8yjL0/etuwKBS2+2xi8Epz4h5BUAPgugB6Z7vh4o6br0MIDx/PwLDolT9RfWqQ+bU5/PzuchRdNVNXcud0sgEAgEAoHgguacP+FSSp+llP4NpfRdlNIvUUonZ19LcL7QEmH56V6PgrGWy6zx1MFH57QNf4UUy80VFcl1itQZPH7EGo6F2wA4x/RUMk6NFYVYikLRRl7Ul8ZOIZbM4HuPn8Rkkglqqk7xPCcUXdIahkSILVKoEgvlZlQdx8aSs8bYvNAThVuRUTvJBEL/iottMSsBjz0oJZ3TwWvubkWyubYphdUIUk4grskXWeWd+mFOKNaN8o7xueJZyXrV+LQkInEzmz2WqbzjNR/08Hn6k0zgvzhhL5KrG9QmfrsVe02ErIPYXpynX1bU57bjd0nwKZJNZD48lrS9Trn6Iv6GNqgyE3vfuYEt96One229BgqUc+QncrrtfD4fmEzZ39/JiRRezIv6y+sDQDYB996fs+U5UX+mWgWLhY+LNitur7v9Elb74md7BiC3MFFfio+BpKZndMEOcg0g5YqZLzaUUlvvo3iJU38dCIB3Xb8S771xlcMWzi94p/50vtYDAGT7DmMynkLDKOs95F1/JQKX3AhI+fuEsTTvz0X8JYAEgBsppfdTSku6fFKzZfwogDXF8y4E7E79hXtd3bA79YnsbGgpEfUzWcflBAKBQCAQCARnz/mlRgoqDt5N7HEreFpeb42n9j86p20E3Han/mLFBGQ5h67bIXoHAI4cYA/csVArAMBTge7PmXDa3UKmvkQIfC4J0TAT9YmuYt/z+xDPaJjmBLWcZqCbc0BvbQ0BsEeWVJrzWzco/vn3p/DVJ3vxvefKdxiaTOTQPZZESMohEuu3pisdm2zLuWTJdq4ki0Rxl0xKolgKAhbv1OfbWapnEfX5bZwpciACF5/NPm461qczpYLwUoB36p/MR7U0qKPwR1l8jVkk1/65KhKxRbY4FfxLZnUUdFUCIFRG1HcVOfULjTcAoMgEQ4msFe1EAVtDAY/frSAaYdfnzqpp6/xIZDX86JneknV4Ub/Wbxdc4ueZW3+qSNR/oW8a0fy0zvogfA98HvLUgDlTdqFrxY0AzGtRWuCi5HPBW+a7RiLAHdtarUbY4ekMdo8pIL4gW2b0xIyiHt+oenQ0uaBRHXNFp7D3IomPoU5j3o/x2rUIuGXcfds6hH1l4j7OI3zc753pGibq65ND8Jx8Fq58gWDILnhXb4McqoF37faF3s3FZCuAZyil3bMsNwDnorVLHmkRC+USncvUV8pl6nts47omnPoCgUAgEAgE54ozViMJIe1n8zefb0KwePAFIV2KhF9lmFCY6z4IbXp81m3wTn2Dlo8lOddki5z6xcQzKpJ9rHbadMh06rsq0P05EzNl6gOmk1BXvIiHW61pa8d3A4BN1M+ohk0EbcjHEIW445mosEK5/dMZjCfN97BvMF42839vj5mn36n2geQlJ03xgtZ2WsvIkvlZ8ucK34jhkgkIMYVE/jMv9BDgBeIqTmit9rpAYBbNLRDwyDbh/2yL5QKAd9Ul1nDD+CEAwND00nPUpVUdowkmKkTj5nu8UWbFVF0tq+BqaC+qh2AeP74njtO9iY/eCXqdixsD9h49HkVCHXfM3Yp5lo1w+zldJOonsxomEjkoMsF0hNW8MIa78MYdbPw/Hz+F0ekMBqfSODWWRPdYElHOvV8XcFkFsYHzL1d/sqgnwtFR1sNhA/rh/f2/W+PSrX+J6XwDZaU2vnoUybEsss8loz7sxXUbWKTdT/YM2CN4xrpm/BEXz7Fjm1INW4+VSoHvaWBQioYY+45NeWuQ9NdXZC2EM4W/9hKBRqQlnzW++vC91rB7xRZIbrNHDh/BcwGgwCxcOxv1AC5ItXgxC+XC4Jz6ZeN3ikwIuQvyMAkEAoFAIBAsCGfzpNQN4NQZ/p0s3ZzgfCTkUWyCxHiwHZNytTWeOPDYrNsoFkYXK1efj9ZwEhH+95le1GeZuzsWagWBc5xNJUMIQXE7hKsoGgQAjne8xJq29siPAUoRTbGHszRX0FEirMdFqIIL5RYLmCcnnQuLvpAvkrs8221NS9SthsbdMgsNIR6uAGqCc+rznyk/7OTUr/Kzz0yRCJqCbltDi88t28aLHeVngmflVmu4Pi/qRx2iW853eqMZywlsGAZS+XNgF2FRWv4t1wOwN5YUjpndqV8q6vOO+uIeFTzFjX8tQeZmLDQEDHPxVtMptt3RWBYH+hI4NpzC4FQWiepOtk+DJ/CWqzutCK2R6Sy2/8Mj2PGp3+H6zzyK6z7zKL73ZI+1fMTrsjXGnneifpFTfzrfcBhyS2i676Mg+YgSpXE5jNs+bC1XqTFpEiGObv1C9vprti+zpj10cARoZO5ueeQ4PLLkGKGkGxTporioQyOVl8nO38uSGQ0r0uzn4XjtWoCQJSXqu2SJ/WYgBAPeNmveqpMPWsP+DVdaw8FLb1mw/asAugBsI4SULZBACAkA2ALg0ILtVQVBFsmpbxQ79csUyiUueyyPnqu8xkSBQCAQCASCpcLZPCk9fhZ/T5zF6woqCFkiNme2x+PCAf9F1vi9//0jx4znYviClKnFEvV5p36RyJIZ6UXoP96I9hyLYomF2+Auk71f6chFAqOtiGdenD+44bXWNGnoKC7Xj2CaO5Z8QcewV7G6hPOFclMzZIMvBsUC5olxZ0Pg3u4oAKA93W1NSzWts4m6hXxu/rPLcCIaH7eiFBXLBewCsc8t22KROquYe9MlEygSsYnCxaI+pRQj01n0TqTn7OK3O/UPA5RCo5gxo/t8hI/emZzOiwuUom1kjzXdvzkv6mu8U988IG4Xl6lfJOobc8zTB0zxlj+GtX4mfBTuIcOcUz+V06HqBqIpFSdH2XuYSKhI1XRa4/rgcdSHvXjVZaxnTTHj3HYjXsUWm3Y+ifqUUkwVxxIRglDAjT/RnoTr5G5rcsN7voacxBpOKjFPv4DXQbQuZK/vWl9vFWPP6Qa6CEsckUa7EHTLjjFniVzptMNcr4ZKgY8SixXl6Y/VrgPg/Pmcz/DFcod8rOOqFb0DwLeeifqeVZdAjtQvzM4tPj8F0AbgH2dY5h8BVAP48YLsUYWxaE59zQCh7DuwWLwvIBWJ/Xpu6ZkFBAKBQCAQCCqFM35SopTuopRed6Z/8/kmBIsLLxB9+Na16KljDuDmkedx/wvls8sL+N3sVEzlFl5UpJQ6OvUppYj+5ts4+a6LsDn6rDU/HmjCZPWqihaKZoKPCJGI/SGxICZNRzqQXrvLmn5X9iFb/I7OiTH8ORD02IVNJ3FpsShx6k+UOvU13cD+XlPUb0sxgUlt2WiPZ1EKTn3n2yh/bihFTn2DUtu23AqBlyuguCzMCqH6840kLq5HgFokLk+nNZwcS2NgKov+ybm54ninvi8zhWByGJJE8Fy+QWOpMMBFChWid7Z6x0GiQ9Z0/8W7AMDKtAfY5+2ZIX4nmdGtTHNCgKC3vKgP2GOueIx8X4LprGZ7jeFoFseGk7bM8YxqQKtnxV/pSBcA4IM3rUZ7rd9x+x7umoz4FJtTP3Yeifpp1XCMQGr1ZfCKLha7Q7fehtDlL0dWn7n3VaXgc5Wakgv3YZcs4Y7LmJv7sWjYGpZHTyDgUpxFfYfG8e7J9KIWo3eCb4SMZVSs4HpHjdeuBVDZx+5M4IvlDvk7HJfhRX0iSQhsu+mc71eF8CUAhwHcTQh5nBBS6G6zghDyPkLIwwD+AsABAN9YrJ1cTBbNqV+UjS+Vid+RZQmUE/Y1denF+gkEAoFAIBBUCkvrSUmwKES87Md7U7UfH/7QO6zx5dkenDhxymk1G3yu/mLE76Ryui3CwOeWoCdj6P/ELRj56p9Bzsateb3NV+Cnt/8Auuy2Ii/ON3jnuEu29zbgBYeJK99sDa8ZeBQ0OmyN8wWNbQWTFckmaDuJS4tFsYDZE02XRKq8OBCzhK/WBIuCoK0b7KJvIZ6lTKFLXsC1u+yNktd0K5ItusVti96RSrZX7NTn3eJzbRRTInVQGphLtCFfLPfhQyNzWv98YSzJhIhkvlHqVYEua5q78yIoVWZuuaY7OPVniN/hc+9DXqVsnr71WkrpfN2gNvE5mmUNZ/1TWTh1nHA1r7aGSWIS2tQImqt8ePTju7D30zfixc/ehONfvAXv2LUcAODles+cz079iZSz4/O1fd+DL2s2RlF3AN43fxGAvW5FJd+rfTPE7wDAay5nov4ziVprWB47iYBCHBtm4g73XQrgyFhlufX5e1kinsSybJ81XnDqL2VRfzKyvGS+Gm6CUr/MNu1CEfUppUkA1wH4LYCdAD6Xn3UNgK8CuB7AIwBuopRekGrxYjn1Dc1+/5WUMk59QgBO1KeqyNQXCAQCgUAgOFecsyclQoiHENL8/9l78zBJsrrc//3GkvtWWXt1dVf1vsw+zEzDMMwGI6tsgsi9IihcvYqIol4VfqKCG4ro9QH9cVUEroogg6CMbMMwzMIMM8z0rN0z03t3dXftW+6ZEXHuH5EZcU5kZFV3LblUnc/z9NOxZWZURmRkxvt9z/slovR6vUanQUQhIvoDInqBiIpEdJ6IPkNEw8s/un3xuj67dhxAOeY297OOLJ+2xMfvlAzLNyN4PZnn8qtjQTu/fOEbn0b+cTfjNqtE8RcD70fx/XciEx8C0N5C0VKogqgvCo38qInJnbdD67FPT8Wq4PpzX3fWEZEj3ic8DmXere8nLrUKr4BpMeDUnOjW//ohe2RJyphDrDznLFe3XSbEswSWc+prvFPf3cYwGUpCzIvdTDfVILrFceovEb/Dx/5cStxRaNeLnOlarv4jJ2Yv+vGdwBQXPZMr2qLEVfmnnGXRq9yBY3ykVMAnU9+0IFybFi4yesd5Tr8G3GVDeN1sxf/zwh//WPcgstF+Zz7/5D0A7M9kKhpAJKhBUxVcM2L3NwkG3H1LhTShENtJTv05nyg3vZzD9WfvcuYLr/lfiG+x3c+CU7+Nr9Vhrd6pz7v3dw/EcfVICgBwXh9yllM5j0DmAjLF+nMm18CRf2SifUV9Zfw5aLD321IDmE+NAth4ov5gwhVDA7uvqFtv7Li+LtYvsklEfQBgjE0yxl4D4BoAvwXgbwB8GsCHAbyEMXYHY2yylfvYSvhTo6VOfd3/O08lAlPddWZFxu9IJBKJRCKRrBdrfqdERL9IRE8AyAEYA/Bxbt1PEtFXiGh3wyfYoBBRCLa76MMAYgC+BuAsgJ8F8DgR7Vzi4W0NL2YtFA0QEZTLbnGW7TlxF6xlhMagpgjNW5udq8+L+rWmpaXTbg+2Z8IH8PPbP4W5a96Koe6os9zPedsJCKK+52/gXYR5i5B89f9w5l85+w0Y3A1aqCpGpbyiPucMbqdmuX4C5vEZN1ffshjuesKOZdlecpuL5sPdCPcMeBqp1ju5eRo59Q2LoewT9RQN+fcFDAfcGI4a3tz8lYv6bgRPX1XUn8lVcLLN3LwrJVc2kefem3yhgq6wivCJHzjLIle/3Jn2O766SkIz8NqxsyyGDHc+LdUkt4ZfXNd0viJEyhR9rPmjPWH0xl0hMB7ScXrLjc587vHv+L7e1SMpEAHBJZ36nSO48E1ye6J2YWL7mXuhWbbYZEVSKN7yC06RWOiB0cbXar9GuXxxFXDd+nk1gjnd9Uook8d9I3X4SB7+Lz8ymRVGWbUafnRM8PyzznRpYC8sxT7GG03Uf+XeHudakE+PwPT0hNX2HKx7jJbsgd4/2ozdaxsYY08yxj7OGPtlxtgvMsb+iDH2w+UfubFROFW/lU59rYFTX1UgOvWNzvmOkUgkEolEIuk01uxOiYg0IvpPAJ8EsBfAYYj3koCdk/lGAG/D5uODAG4E8BCAPYyxtzHGDgL4dQC9AD7Typ1bDX4C0cBrfs5Zdm3mRzhz7OiSz0FEQgRPM3N/TYshU+BFfftmpDLuxgZ9N3kbZvVuvOfWHUIES6c69b3xOzwRT6Pb1KveA1RdV93lKRiHvuGsD1fFFq9Tn2+enGmjDGe/qJFjXK7+Y6fmcGHezqTfUXZF/en0bsQCmifOw34PVYWE97NGw0a5JhNE3FpRQFcVFH3ywt34HX+nPmMMBe49vhRRP7jTbZbbW43fCQY0PPD81EU/RzvDu/QrhoVyxcLPJQ7DWpyxFyoKwlfczG0jjqAAqiNSfHL15/IVR1BRCIg1KMrw+BWApvJlIVZGUcg55gAwmAxiMBUURjOFNQVnhl1RP//4t32F2sFUCFvSYs5+IiRm6ndS/A7v1N+aCKJUNrD7xLecZZUrXwM1EHBE4E65VvvH74jn0+uuGXKivs5qrltfnTzu22cgy10T9vW5hei5goGJbPvEYfCFtPjUc850buCAM73RGuX2RAN40+X2aEZLDWAxIUbtxC+70e9hoKB/z4yNBBG9mojird6PdkYRnPrNe12vqK82aJSrKgQonKhvts/1RiKRSCQSiWSjsZZ3Su8H8FoAXwcwwhi70rsBY+xpACcBvHoNX7ftISIdwPuqs+9ljGVr6xhjn4Dd8OtmInqR3+PbnUSwXiBKX3cHpoKDAAAVFsa//g/LPo8gJjfRqb9QMJxGlKriinOVCVfUH9f7sa07gldc3u+bq95pJCPuMeuKiM3OeIEpXzahpQcRv/FNzrLoDz7rTNfEluQS8Tvt4tS3GPN16p+cLThCON/U+Yag20h1pms3IroiOrk5ockvV593ZQtOfU+mvtCI1RTP+4plCY5xZzm3HxWTCTf2l+bUd0X9WH4SkfwUAgEV9z8/fdHP0c7wefr5QgVJYx63/+hPnGWRq14ONZp05is+jXIB0eVdNiwwxnB+zo1z7orqgnuyEbqPODlXqODcotvcOKQp2NUXQSqiYWs6hJEeu2kyXzTQFQXjW28Eq9bNjZnzKJ85DC9EhMu2un+fArt4xH9eMyWzqREOq4F36mcLFeRmZjFy1o13K1/zRkSDmhNdwsdctbPb279Rrri/ibCOV14xAAAYC25xlquTRwW3ew3+ujsYD2I4GXTm2ymCh9/35NwxZ3qxb78z3c7HbqXctL0Lu3tskX425Ta+NhUNvZdd36rdagfuAjBDRI8Q0Z8R0WuJKLHsozYRrWqU63Xcq4EGoj5BiN+xZPyORCKRSCQSybqxlndKPwPgAoCfWibr8gSAkTV83U7gJgApAMcZY4d81n+5+v+PN2+X1g4+C3y+YIAxBlIUPL/7Dc7y0MP/AmYt3cAz2qJmufOcUJQM6yAisEoZxvSYs3xC78e7bh6FqlDHNF9cinRUx2VbYrhsSwxdUVGQF+J3qvneqdf+T2dZ8vi9UKbsgocr6ouFAT5+p10y9TMlE/ztb83tVjIsnFsowjAtfONJV8jfbbgNG2fSexDVVUE850V2v2gPwanvaXJbahAL4v2EVHwat9aW15zZfPQOYDv3LjZeQ0sPQE0POvO9088hGFDx8LEZGH4dWjuMST5PP1/GByY/BTVnu/QpGEb/L/21s960mOf4+hdtSoaFTNEUGkAPpVzBdCm88TsWY5gvGTi/4BYIgqqCWEjD/qEYhtMhR8AJaooQmxVJ92Gyx3Uz57j+Hzzb+13Ta6X6eead+gxiVEs7M8fFpJ2fLWDbyXugmW70TmXvLcL3SMc49X1E64iP0H/z3l4AwJjuivrK5HHA5+POn5+xoIr9fTFn/vBktv4BLYK/xgWqzY4BIBd1+/JsRFFfIcJPXzsIMIa5lNssd6b3ACLR6BKP3PBUx3tiAAAgAElEQVT8DYDnAbwIwG8A+A/YIv+jRPRxInrdZhf526FRLlNUqA2uqaqqiPE7Zmd8v0gkEolEIpF0Imt5p7QbwA8ZY4VltpsG0LOGr9sJXFX9//EG6x/3bNdR9EZdt07RsDBfjbIp3fB2mNVTLJw5h/yhu5d8Hj5+J1dunnt0wSdPvzJ1xrlbskAoxAbw1hvsIfKdIhQtBREhEdaQCGv1Dfk4MalQFYzDV96KwNZ9zvLgA3ZaVK3BY338Du/Ubw9Rn3fpBzUF21IhZ/74TAE/ODqDmaoIHFIYItNuZNR0endddAov6ntFJ4Ug9IjQBKc+E536nGCsekRfg9XHwQD2qVkToIs+jVV9jLsN4d36vdOHEQyoyBQNPHlmfolHdQa8U//y4/+Bg4sPO/O9P/cxBIb3OvPePgVag+NbNiycm3Od9Ymwhlho+Tx9oD5+Z6FkwGJiVIrfqA/A/szGuGtkd1j3RPD45+r3c+f5Qq4My2IIaYrwN3VKBM8sF7/zwvlFXHHuHme+cuVrAVWva7peI9jWmfpLN8qtcXCXnaUvOvWPQfUZJcKfU7Ggiv39rlB8dDpfd763Cr54GCy7xYaC7haj2rnJ8WroiQawIxHAsR0/5iw7f8WbW7hHraean38FgD4AbwHwKQDPAbgWwAdg96OaIaLHiOjjjZ9p49I6pz4Xo6PqDX//aorYKBcyfkcikUgkEolk3VjLO6US7Aawy7ENwMIavm4nsK36/1iD9WOe7RpCRM/6/QPQska7kYCKNBfhMrZgC16ju3fh0dh1zvKFby0dwRMNqqjdqzDWHLd+sWIKTme/PP0ZrRs/du2II9wJzsI2FopWCh+DVKiY9sgLIsGtH3rwc6DMFEKaAoKYoQ9AEB+z5fYQDHnhMhnUsLPbzSc+NpPH1w+50Ts/vrUMlO36JANhNr1LEM50lYQba6+or6uKsF4Q5OEWSwBR6K0T8hoUBgBXhC6U68W5S4rg2Sk2yw1W92EjRPBMZ20ROJ45j5848lfO8sg1dyD1ul8StuU/15pCQpwOf4wWCobQWHvLRbr0gfq4Lj4jvsZSAiYvWKe9ov7T34dVLtY9JsZdm3NFA8erLm2hF0qhPT6jS2FYYnzW2bMXcNX8I858+do3AhCvX2WfxsftiH+mfv2y4XQEQ11hnAtwTv2ZMwiwetEsUzLQHw3gLfv7oJqEbcmQM1KkYjIcn1nOf7H+WIwJBciQ4Yr6ec39ObkRnfo1XrWvF0f0nfint3wNX/7xz2Hhxne2epfaAsbYDGPsK4yxX6mK/L0AfgLA3wOoALgGwK+1ch9bRauc+uDjd1StzoTgrCIC4zL1IRvlSiQSiUQikawba3mn9DSA64mou9EGRLQNttvmR2v4up1A7e4032B9zrNdx8Hn9dZE/X1DcXwj+Upneeahr8KYb9yAU/E4UbNNcI/y4lxYVxyXbGXilLN8XO/HUFfYmS9tAKf+UvBZzhaD07w18Yp3QU3YH28qZRH+xp8jrCmIB7W6PHGhUW6bOPVrTZwBe2SBIOpP5/HNp8ad+VenZ5zp+eQ2BMJRQSj3Oq7rXPyeYo+3kS5/I84/Nh5SBHexwj2OiMRcfcM/fge4xGa5vFN/5giCVVH0gQ0g6k/lygCzcMe9H0TYtC+/SjSJgV/7B5AiHjOhSa7n+IlOfXe7SEAR+lMsh/cYzvlc45YSMPlc/e6wjvH+q2Ho9nnMSgUUnn2w7jF57vwolQ08cdoegcGL+n69JtqN+UJFSJm5euYhBJj9mbYiXajssRse8478MqcYt7Mw7Cfg88UJnoM70xjX+2GSvZ6Yhdj8GVieeLtsycSB3ihCmgrGgJlsBXt6XLf+4YnWR/DwhTQwhojpZv3nOFF/ozXK5dk7GMfRkzM4HdyGk91XozcUwMRCES9cyODQqbmm/A5qZ4goQEQ3A/hl2L2p3gGgNvzoXMt2rIXwP7cYLj5ub9Wva7nnIlP0OqNBDVUhMD5+R4r6EolEIpFIJOvGWt4p/QOAJIB/IqIu70oiisF22ASq/28mar98G/3yvmi7N2PsMr9/AI6vei9XwZakG/EwVs2HHumJ4umu6zGt2ZEBMCpY/O7nl3wePsYiU1x/MZjP009xjlZvk9yemBsxxEeneDOyNwJet3hNFFSjCaR/6kPO8uCDn0V84YzvexALtF+jXF64TIY07Ox2CzXZsona2RYOqNhncXn6XbsRC2iefHuP6OsR5bzFHiKqE/YB+4PPv3/JkI5nprKwGMNkrlz3OppPs1zf+J0VNstNZs4hbmZBAJ44M49FHyd5p5Avm8iWTex/4WsYvvCos7z/lz4JvXe4bvvKEq5ub9GmxlBXqC6+ajn4wuVEtlS3fikBk3fqx4Ma1EAQ41tucJblPbn6VjGPwFPfxK4T38KOk3djz7n7MPng12HMTQiRWQtt8hldCr5JrgKGmxYfcObLV9nROxZjQt8B8VrdvsJwSLu4+B3AFvVN0jARGHCW6VMnhO9LizHkyiZSQfc7bTZXESJ4np9qfbNcPnqnlF2EynUVyaibw6mvqQr29sdx/2Nj+O7DZ/CBzz+OF//+d/HKP7sPb/7fP8DLPnoPxufrR+BsVGoiPhF9mIjuATAP4HsAfh/ALgB3AvgfAHYzxpYd3boR8ZooLuHrfnUITn294e9fVYGQqQ+ZqS+RSCQSiUSybqzZnRJj7HOwG76+EsBJIvp6ddWNRPRlAKcBvALAFxhj/75Wr9shZKr/N+p+VrMMt946t0L8nPqqQtg1mMJ3kq9w1i188++XdBXFOSdqZp0dahZjQp4+77itjJ9ypif0fnTH3L9PiN9pY6FopagKCcJinstmTr32F6H22X2uyTLQ9+0/QdFHEOSd+vmKdUki83qx4BH1Y0ENA3G3WJNO2iL/Ky7rhzV22Fk+k96DaEBdUvSti9/xiWXyc7XpmhjjkwhpODKdw78dnsC3T8wg5CkW+DXLXa1TX+vdCiXuDrDqm30OA732yISHj80s8cj2ppanP3LWFX+jL3kj4rf9N9/tlyza+BzPoKagJ6bXLV+O0d4w+pMB9CZ0zF6iUz+oKUJxKB3ScZqL4MlxufrMqGDsQ6/ENV96D15z9wfwuu+8H7/89Afxiu+8F8ffsRV9sy8423ZCpj4v6puL87gu57aoKV9jR+/kK6bweeJHVQXbuADr69Rv0Fvh4E77s3pGG3KWqZPHhCinfNmEqhCinNs/VzIxzBXf59sgcon/zOXnxZFBWdUdSbWRRX0AuGY01XDdfL6Cf3vkbMP1G5A52CL+78EV8X8eVRGfMfYOxtg/MMZaamRpJd46crOc+jC5RrmqBk3x/1yqRLCETP3ONQdIJBKJRCKRtDtrfaf0NgC/DaAM4DXVZXsAvLn6Wr8Le+jsZuNM9f96e6i4/EyD9W0PLxZM5yooVN3Dewfj+FbyDmddeex5FJ59oO7xNeKce7RsMCGKZK3JFE3H4URkN7yswWfqjwf60c079Td4/A4gikwFzgmuBIJI/vePOPORJ74G/WR9/+dYUIwkaYdcfd6pX3Mp8xE8XdVz+MevHULp1NPO8un0bkSDqhC74u2loKskDLfxOy+8QjFQL1Ylqu9bpXpi1ov6vFOfoWwyX5fepYj6RCS49fumD+OqvX3o6Qp3dK5+TdRPLbqX1cRNP9HQWS8WbcRtVIXgHWgxmApesksfsJui7uiNYKQ77DtEaykBk4gEt353RMfJoZc486UTT8CYmwAAzPzLR1A4XB/HAwAwDfQ/5dbWOyF+hxetB459V4jeMfa8DACwWDKFkUGCU7+NhWGvK19XqGEPgJGeCPqTwbpmuXzMWbZkOtcSHosT0dfzu/Vi4UX9wvycuyIQQYG5+7/RRf23v2Sb8NsHEHPTv3d4ssl71FLCsAexPQvgEwD+YrOL+F5a5tTnHfeqDr3B51JVPJn6UtSXSCQSiUQiWTfW9E6J2fwZgEEANwD4SQBvB/AyAP2MsT9iTbOUtBVPVv+/tsH62vKnmrAv60J3RBfc3eeqETz7hhIYDwzg8cjVzrqFbzZumBvQFMEVu555sgt5MWOdj23wxu90x12nviDqb8BGuYCY58w79QEgddvbYQxf6czf+OhfIu9x6wc1RRBGs22Qqz/vceoDoqifToaQCGu4aTSCyvljzvKZ9B7ElnHqE5EgGvoJ+H7xO37Z/PznyBvLoXvid4pl//fVukS9LrTLbZbbO30YikK49kA/Hjszf2lP1EZMZSsAY0guui5XfbBxP3HRqV9/fHlhUVMIfYkAVoOuKkKufY3lBEw+Vz8d1jGb3A61Z6uzLH/obuSffRAzX/wTZ9lCfCumuvdhthaFBiA8d9pd3wGi/iw3qurAmbudae36NzhRD/mKiQsZN9Ko3CGjqryRS37O/RpEhIM7u8VmuZPHhIbZmbKJpI+oX+JG9VQs1vIRVAZ3fIoLs840RZNCVuFGF/WH0xE8+tFX4Nu/dTMe/v2X48jHXoX//PWbnPVPnJnHjE9U1wblNwHcBWArbFH/MSKaIaJ/J6L3E9GVSz984+P9KdG0uyqPU7/RNVVVCOCc+nwWv0QikUgkEolkbVmXOyXGmMkY+xFj7MuMsS8yxh5kjJXX47U6hAcBLADYSUTX+Kx/S/X/r/us6wiISHDr1yJ49g7GAQDfSrlu/dzj31pyuLCQq19YPzGYb5KbimiomBaeGc9gbm4e5rzrjBvXvU79zhCKVkNEF+NzeDRNRe71H3bmd848hif/68t1zxHnRKV2aJbr59TfxeXqR8M67rhiAOUfftW5SzbUIBYSW6vxO43jWQAgEXbfs5iPWKv5nCt+YtXeXjulK6AStqZCwjpv/I5f9A5waU59QGyW2z99xNnfLcMpHDrbmcL+VK6MUGkewXLGWaYP7Wq4Pe/q9otPCnGFroFUUCgCrpTuaH18z3ICpuDUD+sAEbQrX+4syzxwJ8Y//jNOZWc+sRX/8pY78S9v/jI+3f8eZzt92i1cdoKoX3PqB8pZ7Jv+obOcXf8mZzpfMYW/hXejt7Mw7B2R06hJbo0bdqQxFuCd+seF8zdbMnyd+rmSCf7SxReoWwFfKK1kXFFfiSaF7TZyo9waQU3F7oE4+pMhhAIq9g8lMFD9TcUYcO+RqRbvYXNgjP0FY+zHAaQBXAfgfwH4AYBbAPwlgENENE1EXyGi97VwV1uGd4SY1bT4HW+jXP/PpUYES5HxOxKJRCKRSCTNYOPfKbUB1YLGJ6uznyQiJ1ufiD4A4EoADzDGHvV7fKcwnHLd7Oeqov6+IVvUfyLimqvMuQkYM+cbPk9caJa7PmJTxbCQ44TmVETHZ390Hn/70Bg+/XU3sqICDdlgjycWaOPH7/B5znlPI1YiQnb3Lajsu9VZpn7598FMcbsYJ0y1On6HMVbXKBcA0hEdFe7v29/NMPV3v+HMn9x2C5iiIhZQl43yGOkOY2s6hL0DEUF4reFXCPB7nv9+7SB+6uoB/MYto0Imtvc51lLU5+N3UgunoJcW7f3TVXz+8XEhgqlTmMqWBZe+GUpATXQ33N5Yplg33BVENKgiHdUxxF3rVkNPtN7tv5yAyUdbxQIaAiqhfOA2Z1n2oa+68WGKim/f9jFU9ChUIpzTB90nmjzhFK8Wi0bzhKEVUsvUH5h4ArplewQKgSTKu1xHc75iOp9zxpgnKq19R1UpJPYxadQkt8bBXWnRqZ+dhpV142uyZRNJn2sQY8AA1x+m1RE8/DW1tOjuP0XcjHlvM/HNAhHhtgN9zvwmi+Cpjfx9nBP5uwG8CPZv6QiAN8AW+TclfE25WZdu4sV5VfPtEwQAikJgXKNcko1yJRKJRCKRSNaNeivXRUJEn1nF6zLG2LtX8fhO5A9hNwq+EcBRIrofwAiAgwBmAPxsC/dtTdiS4J369lDx7lgQPfEgpjMpTGk96DXsjO7Ssceh92zxfR6+WW6uZMKyGJQ1cMXyLHBNAgMqIaQTnh23+xSrM24G95Tei65EWHBGdYpQtBp4UckbvwMAhYqF/Ot/D8nn7gUAJGdfQPahryJ+008428Q4UanVTv1c2QSn2TqifrFiYXqugMG+GABg571/BnPBdkQaehgPvNgW+C/Gqa9rCobTobrlNfxugP3cw9GAipdt7/J9Dj7DtmJaKFb8zz/zEu/y9YEdUGJdjjC4d+whPL3jx0BEKFsMh85lcOMSzRzbkalcGUMLXJuS3u1LZuDzI3D8jlUspOHKrfE13ceeFTj1AxpBUwhGtXDTHdaR3fYyRInq1J3y634T4/1XAbCbV1/QB9yVpTwihWnkI72wmP0Zifu4u9sBxhhmq059vkfCYs8+xJgKwL4m5yqm0wDWsMR+E+3s1Adst36xKnIvFb8DADv7YqBkP8p6FIFKDgCgTR4HsANAvVNfITd3ezgRxLlqRFHrRX33AJlZd0QQiySc6aCmrKh3xUbgtgN9+MJD9vl+33NTaO+y2/pARNsA3Mr9GwGcdiSb1gJOBNROiGYVZHlR31L0JeN3mCLjdyQSiUQikUiawWruct/V4N87q/+WW76pYIwVAdwG4KMA8gDeCGAUwOcAXMMYO9b40Z0B79Q/v1hy3ML7qhE8R0NunnXx2GMNnycSVB0XEgMER/1awWe8J8IaypbbnDSROees80bvAKL416iZYafDxz8UPG7wsmEhXzFhbr0KpWve6Cyf+MKfCLFKvECYLbX2po6P5NAVckSz5y4sYnbRHlUydOExDB76V2e7Iy/5FWTiduEpEqjPvr9U/J36lyZWCU59gwkOen7dpTr1SVEQve5VzvwNi4/i/GTWmR/PdFaec6FiIlMykeQE4MjW3Q23t5iYL96sETjdkXqn/nLiMxHV5eovqgnoO18kbBfa92JM3/6rznxfLICcGsO86gqmPbxA3sYRPLmy6RTV+NEXVu+o4PbOVywsVq81/HUaaP9RVWGuf0ZkGac+EeGGXd2Yjrq9FAJTx5zrb6ZkIh5wr7/9Sfe7eTjuFh6LrRb1uQK5lVtwp8Nu/E67F2PWk5fu7na+azJFo2EPlY0EEW0jop8hos8Q0QkAJwH8I+z7hiHYcZZ/BOAOAP7V700AX+hqVrGHF/WZ0tiprym26F9DsTZt7UUikUgkEolk3VnN3dJtPv/+FraD5iEAvwJbuH5jdfrh6rq/BXD7Kl63Y2GMFRhjH2aM7WKMBRljA4yxdzHGzi7/6PZnMB50xHjDYpioNnbbW43gOcaL+kcfb/g8CpEQX7IeETx5TtSPBlVBdOZF/clgP7pjYtTGpmiUK2Tqi0LCQtFwxKDiHa5oaJ54HPnHv+PMC/E7LXbqL3jy9Gs3xM+OLWJuoQjFLOO2B/7A2Sa4/UocuuIdzjwvuClU36juYvDN1F/GkeuFF+4NS4zf4UdGrKQBZuyG1zrTiaP3oFBw26CcmM5f8vO1kumcLSLwAnB0a+M8/YpHAPYrwKwHXqe+ppBvQ2Uv/PVxeyoM1QIWd97ibhCMYvA3/y8WOC2lNxbElq4wLnARPAOFMWd6vo1F/Vm+qTk3+kIf3CEIWrmK6YzCKnsE63YXh3l3/nKiPgAc3NmNseCwM69NnXAKGWXDcno+MMYwyIn6YV1FujpSqZ2c+lRwRX0zxDn127wYs55EghpevMuNDMu1uDjeJE7BFfEHATwAd6RrijF2M2Psdxlj32WMFVq2ly2G/5ZoXvyO+zuOKVrDvjIqERjfKFdm6kskEolEIpGsGyu+W2KMfZ//ByAK4BcAvIcxdhNj7JOMsf+o/vskY+ylAN5d3Sa2NrsvaSd0VcFA3BUPahE8+wftG/RjIVdUW8qpD3hz9ddWEGaMCe7/aFAV4mF4Ud/q317n1OcFwI0qOPDOdD9Rv1AVg8ytV2J828ucdTNf+lNnup0a5S745OkDwLNjC8jkyrj6iX9E99xxeyER+t73t8ia7nsQUNxpXV1ZHITuuQEmwkUJuMJzeM43/mY+Koj6l7x7tlO/+nda8xO4snLcWXehw5z6k1m7IMFHtQQGlxD1OXFTVbDmcV+N8Ir6Fys88wWcVEiHpigo3vwemF1bwIIx5N7xKeiDOzBfdMWUZFjDNaMpnA+4on531i16tLNTvxa9AwDxRbcQER3e40yXTQuGxZzPeon7EKiENWlsvJ7wzXKXi98BgIM70xjTh5x5deIoStUin8UX9cguHvKjO2pRea0U9U1LHB2jFF1R3+BF/UssfG40budy9ddj1GIbcj/sEa23wxbxb2GM/R5j7J7qiFcJvJn6TYrf4Rz3lqo1/B2kKuRx6rfvd4tEIpFIJBJJp7OWd0sfAvAIY6xh1j5j7B8BPFLdVrIBGU5yufrz9v3XXid+xxXVzNkLMGYvNHweb7PctbxpKZvMyaMG7Lgf3qmfzLiiEQ3tRIxz6puW+Nh2j3RYKZElMvUXSwaKhrvs3I3vdaYLT92LwpGHAYjCY6sb5fo1yQWAw+cWMVA+j4OHPu1ue+M7oew+KBxnfpj5SkdneIeqryQrutEoAV0lIRJoJU59NZ5G+MBLnfmXLD7iTBcMq2nCwVowlbNFfd6prw/ubLS5p19C8z7TiaAmFHsuVtSP+mTfs0Q/Fv7gKcz98XMoXfV6ZIpmXTHr+h1pnA+4QnCKc70vtLGoP5ev7htjSGV4Ud/9TqkVH2t/x3KNrduNPq543Burj2XysmcgjikufkeZPO6I+grn460VM9IRV2QbrhbfSyup/q0RFc9rB0oZZ9qQTn0HXtT3jj7ZiFRF/N9njN3LGOusanITaUX8Dh+jw5T6fjA1VMXj1JeivkQikUgkEsm6sZZ3S1fCzr5cjpMArljD15W0EcPcMP9zVaf+7oEYFALmtC5Ma2lnffFoY7c+3yy3YjJhmP5q4aN3AhpBVxVkOeE6lXWd+ouJYWTgChBljxDRrJiOZiPG74h/80LBdeoDgLL3Rjwb3u/Mz1bd+vFg+8bvAPYxPXdmDB8Z+wh0yz5Xc+EePHHjB+piDvijvFLR1yvqr0RoJCLfcy6kK4K7fCWiPgBEuQieneMPCK+b8Yl+sBjDj8YW8NjYYluJ/lPZMvRyDpHCjLNMH1oqfsc9n5v5mSYidHNu/YsVMAMagaqblk0LZzNFXL0tjkREBwIRAMB8viI0BE+FNBzc2Y3zXPxOZO60M93WTv1q/E6kMI2A6Zp1Q1vcQk2uKuoXDQslw0Kpw0ZUvWJXN67ZEsfLtqdw3XBi2e0VhRDdts+ZV6dOIFcdmcEXm2tO9y7uPOuOBBDWlJY69fnv9LJhImLmnPlK0G1IHeqAgsx6srU7gl39m3twKxHFiWhzvwkeWhG/o1ju7zhLadxUXSXp1JdIJBKJRCJpFmt5t1QCcO1SG5BtLbm2uq1kA7KFd+ovFMEYQ1BXsb03CuDiI3h0TRFcq2uZq88PYa81hK2JzsHSAnTOMbgY34KSBdx3Yg6AT/PFDSo48I1yvU59PlMfAHriIXyx+63OfPbh/0Dp1DOIBfj4nfZplFtz6h87PY4Pn/49bC27RZzvv/SDeCGvC3FBEV2BwTu5V+rUV7xO/ZU6/uvPuZCuCs+/UlGfz9UPnXsagUV3NM2R8Wzd9j88s4B/fPQ8PvPoOTx0eqFufauYypWFJrmWHoKWHmy4fauc+gDQwzXLvVgBk4jQk9Bx19Ep3HlkEo9fWEQ4oCIVcT9z83mjrpi1uz+GTNJ1dwdnTjmKUDs79WvxO/wxzWgJmCG3oSpffFwoGqJTvwNE/a6IjvfcMIyfunrwos/B0ctcfwRVCshPnAFjDGHuPIpWr+XhgPiduiUeRGkNi+WXCl9IK1ZMRC1X1C8FOKf+Bv2OvRR4t/5mgYheRUT/RUQLAOYBLBDRIhHdRUSvWu7xGx1+kJ/VrPgdLht/KVFfIXG9FPUlEolEIpFI1o+1vFv6DoA9RPTXRBT2rqwu+ysAe6rbSjYgvFM/W3bjH/YN2TfpfARP6dihJZ+Ld+uvpajPi9S1HPKa6Mzn6ZfUEAohe2TBkUlbcOCFCEJ9TvpGIcLlGOcrpuDCXiwaKFbEwsij0etwIjjqLJv50scEp36+Yq1YaF4LFj3iJquUkf/E27G3eNRZ/vCL3otjO16JfMXC6dkC7tiexut29+C1u3oxvuA2jV2pQEgkNkFdaUHIz0ke9jr1V3iTH9h2AHr/qDM/cuo+Z/rJs/Wi/bMTrtD/iM/6VjGVLQt5+krfdpDS+P2uGLyo39zPtODUv4RzIhXWMVc0YDKGbMmEaTGkuIiVXMkUHJxdYR2KQhjee5mzTCtnES7OAmhvUX+uUN/4eD66RRDuTcudXiwaQrTMRm1ofvDACIqxfme+OPYCChUTiWo8kzJ7Fur//05M/t2vA5aFrqgrtA0nQm3j1M8WDURNXtR3TdkrLX5uJG7bZKI+EX0CwF0AXgUgDmCx+i8G4NUA7qpus2kR4nea8NOKMQaFud8RbAlRn4iE9fzjJBKJRCKRSCRry1qK+r8NYBrAewGcJaLPE9EfEtFHiejzAM4C+GUAUwB+Zw1fV9JGxIIaUmH3x/zYgpirfyzoxiUsFb8DAPHw+jTL9TbJBVynfoJrwjgV6HfsUGfm7FEHZU9Mx0oapnYCvFPfYhCiLBZKYvwOESEW1vGl7rc4yzLf/1cE51wBDoAQcdRseMEyFSBc+Pg7ETt+v7Ps2b1vw9itvwoAiAVU6IzQHwsiFdLrhNbVjM7gBeOVOlD9XLyhgAJei15pAYWIhAievefd9+jYdK5u+4mMW+w4PpNHodL6Ro5Fw8JiyRRc3eHh3Us+RojfabIzeDDhFkKT4cZCiZcEl6vPYBcmIwFFOMcGq9nsmkJOj4srD+xARnFF02Q1V78T4nd4UT+f3CZmjHPn/0LREI5pJzj1V8L+LQnMJ0edefPcC5gvmM7fG/nKh1B5+CuY+8pfYuFbfy9E8AzEAi0W9d3Xzo7t4eUAACAASURBVBQriHFO/WLAjd8Jaio2Oy/a3iX0GdrIENHbAPwq7HuFXwHQxRjrYox1AUgBeB+ASQDvJ6KfbN2ethb+p2cz7BIWA1TOcb+UU9+7Xjr1JRKJRCKRSNaPNbvTZYydBvASAHcDSAP4aQAfhN0U96ery+4BcBNj7NRava6k/RCa5VZz9V2nvivqGzPnYMxNNHwe3qmfrzpRV4tpMRS5mIaaeJ0p1zv1z6uuOy5XMTGdqwhxBRtVKAKAsC4KKQVOkF8oGKhYTDge14524b74TTivD9gLLBP5//qUIDBmWxTBwxgTBMvgv/0uMvd90Zm/N34zFt/0h9jRbWeR90UCDYs10aCK7ljjBnHLEeOEmfglCLg8/pn6qtMQEwBMCyvOuI8dfJ0zve38w1AN+zM8ma0I25kWw2TWFfUtBjw/VS/8N5tpnya5fPa6H3ysVqDJTv2DW5O4vD+GrakQXr4rvfwDqgQ0RYjrWSwaICLBrT9UbYiaCmtQquf0wZ3dOB9wo4hqIxoW1rgh+VpRMS0nDos/pmbPqCBKa9xIjIWiIVyrN2qEi6oQ5pMjzrw+fRwL1VENKOWgH77bWbf43X9CIqw5UR2aojSvw6YPfIF8LlsSnPoFnRf1N2bh/FLQVQU37+tt9W40i18CUARwM2Psk4wxZwgYY2yRMfYpALfAjvH8pRbtY8sRM/XX/4NsWkwQ560lGuUCAFNlpr5EIpFIJBJJM1jTO13G2AnG2CsB7ALwTtiO/A8CeBeA3YyxOxhjx9byNSXtBx/BU3PqX15t/Derd2NW7XLWL+XWjwRU1HRKBtFhv1L4JrkK2Q1GAdepn8y4Tv0LWj9yeVe0PD1XEN2fG1QoAmxnLy9u5jkHdk0gLxjuspv29MIiFV/ter2zLHfou4gH+Vz91ri4CxULlWoBIpqbQOVbf+Oseyx6DT4+9Ku4bGuXI+p3hd2b0XOLRYxli7hqWxwvGk3giuGYIJ5fKiM9IYx0h7B/MCqMhrgU/DL9Q7pSt18rrYGFr7gFFLJ7YGhGAcMXHgFgC98l7jyYyVdgeF7k8ETrRf2paqEhteA69fXBxk1yAdE13OzPdUBT8Is3bsVv37Zd6ElyMSS5IlFtNAqfqz8Ys6/F/Dm9bzCOqfAW9zmqor5hMRQqrXNuN2KOa/bLi/rqwA4hwiWo86J+RRCNN3IBNtu13ZlWJ48535P6c98DVdymwoXDD8KcPA2DEwD1Fo4044/d/PwidLjHOa+5I0lC0qkPYFPl6l8F4B7G2AuNNqiuuwfA1U3bqzZDaXL8jsmY4NRfKn4HkE59iUQikUgkkmaxLne6VXH//zLGPsYY+1PG2OcZY8fX47Uk7Qfv1D83b7t8B5Ih9FZdo7xbf6lmuUTkxOMAWJNoj5wnT7/myK5Fw8Qz5531E4F+5PKuO/n0XNEjFG1sB2GUE52nqu7nimkhVz0OfLPcq0dTAIBDUfceu3z6GaRY3pnPlltzY8dH73QvnAKq2dsLahwf3fI7MBUd+4cS2JG2W4GkOaH0fLYEVSVEAioCmrLquCVdVTDUFUIqunK3vzd+R1cJqkJ1ov5KR7YogRCi19zhzI+e/j4AIBzS8MyYm5s/nqnvd/7sRLblbu+aqM8LwIGhxqI+Y0xwfHdSsS7Bnau1YluSE/XDuop0SBNEfUUhqAPuNZgvfrQyIqsRs9w1OLngHtPYVjFSKcJ9V9hO/Y2fqQ8A6pY97vTkcZSqhZnAU/9Vt+3ivV8A496KcAvP9QofvzM7I6zL6TJT38st+zeNUz8A4GKqw7nqtpsSIX6nGaJ+nVN/aVFfOvUlEolEIpFImkPnqBeSjoF3m07lyihWTBARrtyWBOBtlvv4ks/FC2x8M8uVwrv9eRGoFg3DO/XH9X6YnBv99HzBE9OxsT8+O9IRZ/pHY4sAgEXu/eNF/cFkGN2xAMYCW7CoVKMTGMPQ1FPONtkWOfV5Ub+nMu1MX9AHUVTCGO2JIhbS0BPVEQ+qggA6VzAQW6Gjfr3wxu+Eqw5l7wCC1cRVRW94jTM9evY+gDGEghp+dHLOWe4n6s8XDFzwWd5MpnJlqEYR8dy4s0wfbBy/Y1hMEEU6SUQURP3qNUxXFcS46LLBeBDpiCjAdO/Y50wnOVG/HXoieKmJ+oFyFpGSe/6lRlwxW1OobtQCX4ANbuBrdWr7fmdamT0DpVICTAP6M9+s23bx3i9A5a4fYU0V+xI0Ef74LM6412WmBVDgtFqZqW/THQtiS7XwvME5DuAWIoo02qC67pbqtpsSMVO/CfE7TBT1l3fq86J+ZYktJRKJRCKRSCSrYePe6UpaRk/UbS7KADx5wXbvXrnNdnMf40T95Zrl8gImLwKsFD5+p+ZELxmWLdYzJjj1x/V+wQZ2dr4o5PH7ZZtvJK7fmnCmn76QRb5sunnNgBC9YlgMtx/oAyMFR8J7neV9Fw4505kWZerzefrpoise5cJ2nMFl1WgoIsLenqhQrJkrVoTRIu2A16kfqp7HRAR+1WpE/dj1rqifzJxDes7WTp44yzv1y3WPA1ofwTOVqwjFOaZo0Pu2NdyeFzUVwqrilZpNMlgfvwOgLlc/FRZHhuy4/Ar3ORZ5Ub8d43fqm+QWKYD44FZnPqCJov5i0RDiXTpp9MWlEtmywxHYiDGo0yehHX8ISn7e3kB135fyqWcQGj8ijJqazzf/umxaDPzXeXbOvS5TJCmMsuikItt6s9LItg7jSwD6AHyFiHZ4VxLRTgBfAdAL4Ive9ZsF4lL116Dd1LKYlijOL+/U5+J3mHTqSyQSiUQikawXG/dOV9IyFCJsSbi5+p9/7Dz+7N5TSCdDIADH+Ga502Mw5icbPtdaOvUZY8iX6536NZd+pDAN3XQziMf1fiS4XP+yyXBmvuCs36jNF2sc6I85LnXDYjh0flEQyPmjUTEt3H6ZLZIfDrvO0dSYW7RpB6d+suCeayO77eLSZVuSzrLRLneUSaZkNwSOtpmQ4i0mhbgscbFZ7so/L1r3EIK7rnXmt1x4FABwYibvxOvwTv0urunvsxPZFb/uWjCRKQkCsNI7AlIbCxAlj/i72oilZuIXvwOIufq9kQC6qtvN5ip46mwGrM8trIbLiwgVbQE434ZO/XlH1HeLD+OBAYQDbqEioCl1Tv3SJnHqxyMhFLrcZrnKxDEEnrrLmY9ecwdCe29w5iOP3SmMppnPN99F6x0dwHLzzrQSTYnHboN/z0rq+DiAxwH8GIDniehBIvpnIvonInoQwHPVdY8B+IsW7mdLaf/4HZmpL5FIJBKJRNIM5N2SZF24YVtSmD8zX8RD57O4+fqtMNJDmFNTzrqlInh41/RqYwKKFUtwNNVcb7Uc6UTmnLMuo8SQV6PojgUwyBUojk67GfEbPX5HVQgvGnbd+o+cWcQC57bn//yyyXDTnl4EVAWHI66oHznzGMiy399W5XXzon4874r6kf6tGOoKO059AOjmo3eKttgVCyx989pstIsV9Vd5ox/mhMDuuaMAgIoFXJgvgjGGCc6pf+vOtDN9fDqPYovE4bJhYbFkCpEy4eGLb5LbaQKiKOpzBcuA4ridFSIEVQUnpvJ4/kIOuZKJjN6FSiDqbF8TzNsxfqcW+cUXauYiQzC4EzzoEfULFUuIWtvImfrxoIaMp1mu/vQ3nPnYS96AxK1vd9c/cifOZ9zi9ULeaHofjAp37FQFiJju6B4tnhKc+rJR7uaCMVYAcCuATwEoA3gJgLcD+G/V6XJ13e3VbTcliiDqtyJ+Z+m+QEwRM/Vb3WtHIpFIJBKJZKPSWQqGpGN42fYuvO+l27CvNyosj4Z1HNjVIzbLXSKCR+fEmMoq43d4kSesK44AminVRH0xTx8AuuNBjKTcHFs+cmSjx+8AwA1b3eLMsZk8Ts6699B8DEzFsBALaTi4K40XQrthVi8tSinnCMLtEL8TzEw401ZyEJcPpwSnvq7w0Tv249otU18hEoR8Ph5IpbVx6gNAYPRyZ7p79hgAIBLW8PipOSwUDaGnwou3JZ1sf5MBL3DFr2YyX2sWywnA+uAuXJgvYmKh5CsslDu0SS4A0Z3Ofb5yZQsXsq4be3qxgokFLi6JCGaPKwTXmuW2Y/xO7brBH9NcYmtdc+N4UAN/Ra419wY2dgE2HlQxn3Sd+oFDX4M6a79XjAixF78e8ZvfBlSvbTR9Bjj2Q1jVz4JhMeG7sRnwnzkCEDHd64UW6xKuLTJ+Z/PBGMsyxt4HO2LnFtii/tur072Msfcxxlo7JKzF8CPKmiGXe536TFn6d5G3Ue5qf49IJBKJRCKRSPzZuHe6kpazry+K9920Db912yiuGYo7yxPRoJirf9FOfbYqt89yTXITi65Tf0K3o2S6YwGMcJEsjfZtozLSFUJf1O0s8Fi1YS4gOsRrzsvbD/ShpIRwPORG4Q5OPAGgPeJ3tEW3eaqVGsR129NIx9y/j49nmq3GfrRbpj4AbO8NIxnWMNoTRkjnRP01it8BgOAIJ+rPHQUYQySk49CpeaG4lQiqiAU17OtzC3itiuDJVY9fiotqKXaN4NR0ESemCpjO1keNiOJwZwmI3vid2vVxrlDB+WUaFiv9bmG1rZ36PoUao3u0boSFqhBi3Gd1mhP1O20ExqUQD2qYTow689qY25wcO66Dlh6Alh5A5KqXO4t3Hv1PTHOxO83O1eePncUYYpZ7vVAiCcHJLxvlbl4YY3nG2P2MsS9W/93PGGtNxbjN4L+pmhK/w5iQqc+L9r544ncqqx06KJFIJBKJRCLxZePe6Urahm2pMN553ZAzXFhRCGeTbjPV4rGLc+oziM1ZLxVesOWF2losTJKL3xkP2E79nlgQI12uU59nM4j6RIQbtrnxNPzbz2fNV0y74HL7Aft943P1B8ftZrmtE/WrN6LMgrIgOvX3DMYdIbRiWkJzzVqDzojefqJSKqLjwJYYBlNBYfnaivqXOdOh0iKi+SlEwjoePz0n5OkPxO19uKw/5iw7PJFryXD7rOPq5kX9UWd6sVAvXvLHvNPEX96pb1gM+arTfi5fEZz6NfhGm+qAK+q3q1OfMeaMpOJFfXVgh28xJsW9H7yGtJGv1WFdwVTcvxF08IbXO9OJ29wInt3Hv4XxBVdIb3aufpk7OBXTQpSL32ERMbovuAlGxEkAInoNEf0fIvoGEX2ViD5CRNuXf+TmpPmZ+rjETH3Rqb/akbYSiUQikUgkEn/W/E6XiDQieiMR/RERfZqIfo5bN0REVxJRe4VUS9YdXVXQxzmiJ3sOONPG5BkYC9O+j9MUEhxJq2mWyzv1eUG6Fu/Ax+9M6AMAgO54AEOJIHSlXljYLLEA129N+i6PhUSx2zAZtvVEsL03imd5Ub/q1M9VzJYMwa459SOFGRB/U5oaREBTnWJDnjs/ioaFvGEhqquCUN7u8Nrlat9rNdENNT3ozHfPHUU4qOHI2CLOL7qZ3DVR/0C/69SfzVcwkeXiXppEpmRCsSqIZy44yyrdo8500Ue09sa4dBIRXYHGnZ81V/tswUDBsHCq2thbVwn7BqPYmnaLQGavO5qmVgRpt0a5RcOCYTEoZhmxnDvKJrxll+jmro4a4kcu8GzkazURodzn3zci8dI3ONOxG98E0u3jHy7Ngz17j7MuWzRXVTC/VCrcZ65UMRGzlhD1O+wzKbl0iOifAfwngHcDeCWA1wP4EIBniej1Sz12s8LH71hNCOAxLQYy+fidZW7jPE59Qzr1JRKJRCKRSNaFNb1bIqJbAJwAcCeA3wHwHgA3cZu8HMAhAG+of7RkozPENZwtp7ZgXnVv3ktHf+T7GCISIjHKK3T7lA1LEIHE+J1apv55Z1ktUz8dDUBVCMOp+ggefQO7P3l6ogHsSNePVkiFNMEtVjs2t+3vwxFO1E9mxhDJTwFofrPcYsV0XKHRnNsklwVjQMiOhFqoRk/wRZ9c2V523VZ3lEInwBcgrDUwxgkRPLNHoSgERVdwYtrtrdAft4t1yZCOLUn3M364BRE82bKBePYCVGYfP0aEUmqrs97bwJcx1tGZ+kSEOHctqxWwaqNMHjw7j3O5Iq4ZSaArqgvXLIPP1K+K+n5Fj1ZSK1LEsxegMHvfTChIj+wWtqs58ZMh/0iIjezUBwC9qx9mMC4sm+/agfDwPmdejSYRveF1zvzQ4a85BS0GYLGJbn3eqZ8vm4JT3wq5vwtU2jzfs5sVIno37Lx8E8BnAfwKbEH/YQAhAJ8nIn9nwSam2fE7lrdR7rLxO+56siowpFNfIpFIJBKJZF1Ys7slIroCwH8B6APwvwG8FeLvTsAW+/MAfmKtXlfSOfCifjwWxPMhV5gpHH6w4ePEhqwru3vhXdi6SoJ4ly2ZIMtAPFsv6ndXXch+ufobXSjiuWFb/T11Mqw7zVEBVxS/9UAvpvUeTGo9zjo3gqe52c18nn48L0bvONtUxawcV3A4MBjDB2/fjrde2d+EvVw7eFF/OeftfK6CqUx5yZic4KgbwZOuNcsNaUIT0ppTHxAjeJ6dcIW6ZjG+UBJjWrq3oKJwxUSDOQ1CAfs94v/8TnR0Jz25+oAdvwPYYm0spDnnhcZFmZTSrqgfLs4hUFp0o6rahFr0Dt8jYVrrQV/aFbA1laBU/75kA6f+Rr9Wx0Maij07hWUvbL0NX3jojLAscetPOdPD5x4WIpqamavPF9KyxQqinFPfCLuFVOnS3xS8E4AF4NWMsXczxj7JGPsTxthLAXwOQBzAm1u6h21I8+N3GIjL1Mdyor7mjsxVLAMV2ShXIpFIJBKJZF1YyzumDwMIAngNY+wDjLE7vRtUG1wdAXDNGr6upEMY5EX9aABPR1wXcP7p+xs+jhfgV+rU5wXbiKfxaabq7lWYu8243g8ioCti37iMpOqd6oFNlPV77ZaEEPMB2AJajBPRskX7/bthZxrhgIrDYTdiqRbBk2lyrj4v6neXZ5xpK+WK+pmiHQvEO/XjIQ1bkiFhiHsnIDj1l7jTPz9XxJELORybyOP8fOOGqnXNcgEkY0HwtbWBuHvzfoAT9Y9N55setzQ2V0BywRUy9cH6WJIS50bnxUWF0FFRSzX4yBmvUx8AusLuep27lrJEPygYceaTi2dxajrfkl4IjciU6pvkng8MIBlxzzle+E2GG4j6G1wcjgc0ZLvE+PEjgzfjU3cfQ4Yr1IT23uBMRwszmJidc+bn80bTjj3/uVvIVxDjnPoGN+JAivqbgisAPMwY+67Puj+GbQ66orm71P4o3G+TZnxuTa9Tf9n4Hc6pb0qnvkQikUgkEsl6sZZ3TLfA/mF+zzLbnQEwtIavK+kQhhKu2z0S0nA46gqGxed/CKtc9HuY0CyXFwMuhUZ5+oDt1E8uunn6U1o3KkoAXZEAtKrDc7M79aMBVXBhR3QFuqogxhVIMlVRP6ipuHF3Nw6H3eiHmqjvjT9ZbxY5UT9dnHKmeac+g90oslB2z61osP2a414MKnej30hQX8hXcHrG/axNLTbOvg+M8qL+cYBZ6E27QnBIUwR39FYupspu3Nrc4z2ZLQuubmVgZ902fMRMiatOBDSl44o4gCjqL5Zqor573neFXXFFJW74HBG0Qa5Z7uIZlAwLX37EvRa2Gj9RfyIwiBDXvJqPZ0sEG2Tqb/ACbDykYjY54sxXYn04lTyAuVwFf/+9k85yLT0E4hy0ufPHnemSYTUlfsm0mNBwfTZXFpz6laB06m8yEgCON1h3nNtGwiE49ZvweqYFIVN/eae+N36nfYrFEolEIpFIJBuJtbxjSgA4dxHbBQF0pmImWRU9UR16VVwhIoyn96FItnufVUooPv+I7+N48byywhsDPn7HK9hmy6YgGl2oNcnlGvv2xgIIeQSGzeTUB4CDXARPrekx79TPl91GuLft78PhiJur3zf9LFSjhOIKizIrhXfqJwpupj7v1AeAcc6tTgQhVqiT4J3mfqJ+ybBwdCIvLCtULMG9zhPc5o620I0CEplz6Eq6wn1/PCAI4UGVwJvd803uoZAtGcJnGb3b67YpNnDqd6qA6I3fMSwmFLN4UZ+IhCKp0u+K+smFM9A0FR/598MYmxXPkVaxWL1u88c0Ex9GxfQ/bqnN6tQPaniy/6XO/DP734JytWD1D98/gemMfX0jVYXWP+psF5w/K3xeM8X1j+DxFuZnMiXBqV+RTv3NBsHO06+DMVY7WeSJ4IH/9dmMAXG2U98d9WNdQqNcMg3hmi2RSCQSiUQiWTvW8ofyBQD7l90KuBzA6TV8XUmHoBBhkMvfjsSjOMK5uQvP3Of7uNU69U2LoVDxd2GXTQslw0Iiw4n6AVvw7eZiRRQibPO49Te6UOTlysEYXr4rje1dYbzx8j4AQCSgCKJQbUTELft7cTI46hRtVMtA3/QzLRX1I1yjXCs5CJPrJLtY5OKZAmpHOrYBQOFOSa+obzGGo+M538LYfME/S10Jx6APuMJ49+xRYdg/n6cP2KJxmHNRF5rYeDVXMmAyIMk59Vnvjrrt+NEindwkt0YyKMbvLBQqgnPTK3TzPUqoX3Tq65qCbMnAb37hSVhtkIFcE5l5Ud/oHnEEa0A8bokGmfrBDT6qKh5UMdlzAP/6pi/i6z/213jgql9Azb+bK5n4m7uPOdsGBt3PRGJxTPgVmCmufxFO+MyphEzRQIRz6pcCrinbW0iXSCQ21OT4HctiglOftEtplGtIp75EIpFIJBLJOrGWd0zfBnAZEb2p0QZE9C4AIwDuWsPXlXQQfK5+LBrA0xG3EWejXP3lnPqMMWSKjZ1AfPSOqgAhzoWddRoxuqLRuOPUFwVLb67+ZorfAeybyDdf0Y/fuHUUu3uizjK+SJKtinDD6Qh2DKTwXHivs25w/AmUmizqL3KNeYOL4860lRxALOQ/YKhTo3cACH0PvB+H09MFQbQLcp+DhSWaZAaEXP1jwrqeSP2NPT/KodDE+J0nTs9D10iI0jK6R+u2E+N3eFG/Mws5CY9Tf5aL3okHVUHEB8RmudTnCry1YoimKnj42Cw+d/+pddrjiydTMgDGbPG5CvXt8Bw3TtQPavAeRQKcEWIblXi1sDPZezlOjL4cTNFw5bA7suqfHzzjjL7QOad+MjMG/iu1KU597gV1TUE+l0OIuRFghYB06m9C3klEpt8/2NWpRuub1925zWh6o1zGQBYfv7O0U588mfoVSzr1JRKJRCKRSNaDtbxj+mMAWQBfIKKPEtF11eURIrqciP4/AH8DYAbAJ9bwdSUdxBDfLDcSwDNhVzAsHPkBmFHvGA4s49Q/M1PEM2NZPHE64yvsZzmhIhrUBIdT1iez+UKgPn4HAEa9Tv0NLhRdLEKzXK6AcuuBPmEkxuDEE0136vPin7ZwwZm2UoMYTIZ8xb5OFvWVBvE705kyxhdc4aw3HsBot3s+LyzRJDM46hbeumePCuvGpnPezUWnfhOP96MnZpEqz0Az3SilSnqkbjuxUa77N3eqgOjN1Beb5NYXXfhz3upzR2Gkqg2Ga810P3bXczg+kV3z/b0UFksmovkp6KbbAyK0ZWfD2CRVIaHPB2D/vZ068uZiifv0Eji4I43Bao+Lsmnhs/edAgDoA3wh5yzKnNhWKFvrHpNR8RTSjOyCsL4YcHu3dOpnUnLJ0Ar/bdoTpDWZ+tzv80vJ1GcWjCb315FIJBKJRCLZLKzZD2LG2GkArwUwB+BDAH4I+7fmWwE8CeAjADIA3sAYG2/0PJKNjSDqRwN4LrwHBtk//lkxh+LxQ3WP4Z2mFquPFZnJ2mKlYTHMZuuLArzQ7BV8MmWzzgnqZOp7okVGuja3U78R8RDv1OdE/f29OBx2E7kGJ55oeqPcmqivGQVoxUVnuZUchK4SUpF6MczbSLmT8MvUz5dMHJ90M9KjQRXbe8NIcC57w2LCiBae4BJO/e89M1G3veDUb2Km/qEz80hk3LYuSqIHJT1at13RsJwCRiPHdyfBZ+oXKhYmM27xJu0zkoK/npo9rsAbLUxDL+fQU71GlyoW/uhrh9djly+ajKdHwoIaR19/nzBiyzvCIumJ4NkMwnDcpxCZCuv4ny9345W+9MOzyJUM6Hz8TuYciqYljN7IrnMEjxCdpCowc/POPFNUFMgtNm6GY7fZYYwpq/nX6v1vFQo3JqkZ8Tt1Tv1l4nfII/ob5VKDLSUSiUQikUgkq2FNfxAzxh4AsAfABwB8A8ARAC8AuAfA7wDYyxj7wVq+pqSz4EX9UFADC4TxfGi3s6zwdH2uvtdNzbs0LcZQ4kSCxUL9aOzcUk1ySyZCpXkEK64jtSbq93ic+qmwhm1V52M8qKI7uoxTaZMQ41yiJcNynJjXbU/jTNJttBopzgITx5u6bzXRNsrl6TNSwBL9UBRC0sfJHOlgpz4v6jMAFdPC8+M5p5GeqhD2DESgKgRNIaEgM98ggicw6or6XfMnnWZ5psXwwxemcXxSdHNHOKd+vkmZ+qbF8MJ4FonMeWdZoH9UEBBrMGYLi4yxDZGpH/dEzpyaKzjTXT6NY/nrqZEYBIVdZ3Tf9LP4eU4I/t6RKTx8bGZtd/gSWCwaQo+EC/oghrzFVc9x8+bqb4bia8zHqR8LqnjzdcOIV9+PTNHAVx4dE5z6icUxlCqmcB1Y7wiesun5zOU5p344iRJXtN/ovRAkkpXS9PgdiwlOfa9o78WbuW9U/Pv2SCQSiUQikUhWx5rfMTHGMoyxv2KMvY4xdjljbD9j7A7G2McYY/PLP4NkI5MMaYhwTt5YNICnhFz9elGfiAQhis/k9cbxLHoECcO0hAxtb4661wlaVCNYVO1Gfd5MfSLCz794GG+9sh+/9rKRuqzqzUpAE49PbWREQFNw9YHtyHa5ER/B8811/tbOlRgv6sf7AFWDqhCSHqd+SFcEYbzT8O77C+N54fzf3R9BiBPdU5yTez7vf9Md2LIXUOzHqFYFyWpMS77aEHzsVwAAIABJREFUkPVLD58Vtm9Fpv4L4xlUGBDnnPpq3wgMTiDk35lixYRhMUEMCXZopr6qkDC65LQg6i8dv1NhQHjfi535wfFDuGJrEtdt73KW/el/PtcUJ6iXkmGhbLK6aLQ0d13WVRIaNwNAahM69TWFhO9VAIgHVMRCGn7y4FZn2WfvPwW1b9SZ180izPkJR/gHgIxPYXwt4b+zdZWAvDuCiqJJYfRMSN/4x07SOogoRER/QEQvEFGRiM4T0WeIaHiVz7ubiApExIjom2u1v+JruNPNid8RnfrLifqKLp36EolEIpFIJM1A3jFJmgoRCc1y63L1n70fzKwXAnk3Jp/JW/I4gcsGE5bx0TuaQnUCT7ZkCqLReHDQuVvyZuoDtkh26840+j3RPJsZIhKKJbzT8/bL+qEP7XHmY4vn0Ewcp37ejYmxUoMAAJUIAU0RROhOztMHAG+LAH7kynBXEF2e0SV8USNbNOuirQBACQQR2OIew1oETzZvx7zc+eiYINSFteZn6j92cg4BXUEiy8Xv9Ip5+vyxLRqWsM8K1RdEOgk+coYfHdG1TPxOxWQIX/ZSZ35o4nEUKhZ+63VuL4wnz8zjm0+JiXmT2TL+5dAF/ODU+tXpM9V+J+n5E+6y+DaYlnucvOcz4OfU79zjeil4c/Vr7v133DTiCIAnJnP4wbkKzIhbtKGpU4Kony2ZsNaxiFP2NLsPG+5IH9Uj6kunvmS9IKIQgO8C+DCAGICvATgL4GcBPE5EO5d4+HJ8GsC6/kjk+4Ss5+e1hsk8Tv1l4ne8mfumT78siUQikUgkEsnqWZc7JiLaRkQHiejmRv/W43UlnYGYq6/jcHgfrOqpaOUWUDr9TN1jAoJT373p92u8yrv1vdE73oaJ2bIh5OmPqf3OtDdTX9IYPv6BL6RcPpwC697mzAfnRFf3elMTiHinvpW045VqIm465t58Jn3iSjoJIoKfNp2KaBhOh+qWx4Kq8z4wAAsNXLqBkfpmuYXq52wmW8bdXLZ+ONB8p74t6qtC/A563PMuoBFC3H6VKpYQ2xXQlI5upuoVsmss69Q3GcIHbnLmB8efQKFUwXU70rjjcvda+Od3PS80UP23p8bx4Kl5/POhCzi34DaxXUtq13G+OfOBF9/ouFJ1lbCtu/6cTobEv7lTY5UulXpR3y5ijfREcfuBPmf55+47CaPbLXgp06cRC6rOSBaLoWF/jdXCGBOK8mXDRNRym21r8S7Rqb9Jjp2kJXwQwI0AHgKwhzH2NsbYQQC/DqAXwGdW8qRE9G4AtwH4u7XaUd/X4aabE78DwOSc+voy8Tu6aIqRTn2JRCKRSCSS9WFN75iI6N1EdALASQA/APC9Jf5JNineZrkFNYJjIdcU5ZurLzj13TsYr1MfEN3JfNM/b/QOUO/Ur+XpA/5OfYk/MU+zXMYYTIshV7Jgpd34h9D8mN/D1w03U59z6idtp75SPaW2dIUwlApiOB1Cb6Lzj7nXcR7UFOzqj/iK1kRis+CFBhE8wdF6UX93b8RZ9q8Pu7nnYS7ep1BullN/tirqu059vpgU0BQhdqhYEZ36nR7R0ljUr1/ON0U1LYbg3hvAqvFKwUoW5tlnAQC/+dq9ToHo5FQO//ZD9zp5dt4V8vkM/7UkUzKhGQWkFk47y3r2v8iZ3tEX8Y1Aq2uUu0nc3nyz3IBKQi+Bd73MjUD73pEpFLvca7I+cxqKQp5r+PpE8JgWwA8GKpZNxExX1NdjKaFQ3+mfS0l7QkQ6gPdVZ9/LGHOGizDGPgHgKQA3E9GL/B6/xPP2AfhzAHcD+MIa7W6D13KnmyLqMway3N8HyjLxO6rHyW+Vyw22lEgkEolEIpGshjW7YyKiXwTwfwCMAngCwJ0APr/EP8kmZSjhuisTUVvgF3L1n7m/7jGNnPp+oj6fCZwrudMxn2iVbMlEMuMKzTVRP6AqQiSBZGn499a0GIoVC9OZMgyLweRcoaH55jn1LcZQqSpIsfyUu7wWv1NVLFWFMNITxtZ0qC6fuxPhRX0iYM+Av/hZgx+d0KhZbnDEjciqxe+8inNyP/DCNP4fe+8dJkdWn/u/p6o6p+nJWVla5ZVWbI6A2WVJ5npNMGCD/bOJDqR7ub422WDzw/Y1xglsnLAxJixg0i4b8aJFq5V2pdUoa6SRJufpHKrq3D+qu86pDjM9o+4BSd/P88wzp05VdfdMdVV3vec973d4NgUAjmzv1Co49ScXMrg0m4ZHA0IJ4dQ3mqUZIpriyOfO5E3HteNKd3OXCtmAFSlUSewvfS+Y7gDS3eL4qmd+CgDY1BnCAzcK8ff//vAMUlkdJueO2TjTycbEKsSyOprnzoEVvPnc5YXZZhV5bQu50VylUHnp/+JKP7a1Ijv1S137t21uwcYOURB5iLXZbfesNWgif97F0o05b+XPbgYrYilgSvE7wSZn/M41cuyIVed2AE0AznHOn6uw/uuF369a5uN+DoAPwDsv47XVhDxIz1chVd8wTDBTXBdU1+IGCFVRwBVxTTGoUC5BEARBEERDqOcd0/sA5AC8lHN+A+f8dZzzt1X7qePzElcYcqa+pinwuFVnrv6xH5cVZqzq1K8Qv5POm8jrJvKGM2IjUEHgiuf0skKMANAcdF/RcRyrjaY6RdNE1sD4gjXd2pQc0665S0ikV8exJb83Sp36DLgqBPxK+KWiqevbfAguMTglF8vN5E1kKgjxnrXi/IzELqLVpeMXtrVjbVsAgOUU/OZByyXv1ZzZ9Y3m0IU5AECLMQdVKuSXaxK1Dt2a4ojyyORNh8DovkKL5BapJN5Hfa6K73FVcUY05Q2OzLqb7GXP4AG7/Xv3bYKncF5PxbP4hyfPI57VHRLSTINE/XhWd0TvGJ3XAYoKt8awttVXdb8yUf9aydSXnPalA9iMMbz1jrX28tG0yNQvDrQ6iuVm9IYUR5ajd1waQyKjI2Ck7D6FRH1iddhd+H24yvrDJdstCWPsfgCvB/ApzvnZy3htNSGfGavh1Dfzzu9timvx7xUKgyNX39DJqU8QBEEQBNEI6nnH1Avgcc75Y3V8TOIqJOBWHcJLKODGMf82e9mYn0R+5LRjHzlKQI7NyFRw6gNWHrMcvcMY8JknzuOrz487xIp0MoWgJPiOuSwXN0XvLB9ZVBqbzyJViF4xJac+y6Vw8OiZsn0bgSwOOTL1m7qgXMFFUZdiXZsPPVEPNnf60R5eui6Ex+UckFmo4NZ3dW0Ac1mPpXATv9WfgktV8MCLhHBezNX3u1fXqX/ovCXqt+WkgZtgC/KaiAfyaMzxNxomR0pym1/p4mHYUy6wNC1SH8JZLNeEsfFmezl44YB9jexq8jnE4H/bP1RWd2E61RixJp4x0Dpzyl42urcCADa2+x0RQqWUF8q9so9trbQF3BXbRV67rwfhwnvikioy9v22qC+u33mDVxwwv1xych0LVUE8oyMoZeor/giJ+sRqUHQaVMsDHC7ZblEYYwEAfw3gFIA/uZwXxhgbqPQDYINzO9FeFVHfcA7eKuoSTn3GwFVxLTbJqU8QBEEQBNEQ6nnHdBHO2k0EUZXSXP2EGsJ5z1q7L3X0Scf2Lk2O37HuYEyTI2+IuxnZnRhPG45if1PJHMbjOfz4/BxOTlkiQt4w4Z6/JOIdmIopVysAKpK7EuRiufL/3t/UDNMbspcvnT6F1cAWh7iJQEqI+jzSiatZ53NrCvpbfMsamJJz9StF8DBVg7tvq70cnLIG3V4ansBHhz+Bjwx/EheGLmFiIePM1K8y6FZPni2I+q0ZIeqjtd8hDro1BZrqdKincld3/E6zv3rmcWmxXGWzEPU98XHok6JGwm/cvd5uTyxkcWpCxKUAjXPqx7I6WuYkp373NrhVILLI3wVYMxHkfPlrRRje0xPGi/rC2Njix71bWsvW+z0aXn+zpVGOayI6yx8fh5nLwlUSURXP1H9Azjk7RkEik0fAqB6/Q4VyiQZRzKJKVVmfLNluKT4JYA2Ad3LOV8WS7ojfWQVVn5eI8kvF7ygKczj1TXLqEwRBEARBNIR63jH9M4BbGGNddXxM4ipFFvV7W60Ijxd8Uq5+SbFc2W1pmFYR1lInYWtI3GRYTn0hTk4kxQ3FiQnrfi2RcxbJTYW6YTBLHCOn/vKpVIgYALqaPMg2iWxuY3JoVW5Ci4M/vowzlsWMdEO9SqN3VoocwbOQrhy9IUfwZAePYOZrnwE++WLcnHgGtyQO4IGZb+Kx45PwSUJcVjdhmI071umcgYHhBQBAS3rM7lfb1zhm9Lg1BYw53foyV7qoXy1+pxqyqK8bJjyt3ZgPC1NqeuApu90W8uC6bjEod/TSguOxEjkD6QbMyJhP59Eqxe/o3dvR21w9dkdG/n9cK059TWF4674evPfONY7PV5k332rNmprQWmEy6//CwKFPlufqx9OLF8tNZHRMxXLLOr9zJfE7C+m8w6nPfRFI4/TXzIAMseoUL4DV3rw1f0FgjO2DVXT3Xzjnj1/uC+Ocb6/0A+Cc83lFezXK0Zt6iajvWXxwVVHgEPW5Tk59giAIgiCIRlDPO6Y/AfAEgB8yxu6s4+MSVyFyrn5zoXDuC1Kx3MTTDyI/MWQvu0oyr/OG6Yje8WiKHS0AWE5x2Wk4KYn6JycLon7WQDgmZl/Hgj12m0T95eP3qGV3wl6XgpagC8mwiGlpzozj3GQCjaY46CNH73C3H9wXdhSTJYCwT7OPnWFyh4u9iHuNOD/nvvUXmP7ShwDpRn1P6ogl6rucgzuNzNU/emkeekFUjKaEqO9qXwvJFGyLg15X5YEnz1WaqV8NzRG/w+F3KRjt3Gv3pSRRHwBu3Sic32enkihlJlV/wWZmdBj+9Iy9bHRvq3nwRf7bfVUGcq5F+lv92NkbQZariAeF/yI7PgjAGcETz1QX9dM5A8eGEzg7mcLQdLrm55dn1rlVBc9dmEfAEO8nwxd2bE+iPtEg4oXfgSrri9lti35RYYxpAL4IYAHAB+rz0mpD/sRalfidEqe9qi4+m7U0fodEfYIgCIIgiMZQtzsmzrkB4O0AVACPM8bSjLHzjLHBCj/nlng44ipHdhKahbuTg8F9mNOaAAA8m8bkF96HZM7Aj07PYGA8AU0SYvO606nvcSnwuxWHWKtLDsKZtLihGIllsZDRkcjqiMREzMSUt9tutwQpfme5KIwhUFKgsSvigaIoSITFgElrdgKPH59q+Ospvj/k6B0z0gUwdlVn6q8EVWHwyVn42cWL5cIsX78hM4hDJy4CnDsEh0a4uIsU8/Q1TUE4MWr3uzrW2m0G4Uyv5NRXGK74QR6vppQJoNFFM/Wd8Ts+l+oQ9dPH9zu2v2VTi92eiGfLHm86Wd9ohbH5NEKTIqbLDLWBh9sdr3sx7lgXhUthiHg17OkJL73DNcTLd3fCMEzEQmKgNTNaEPWl90wqZ0I3KquFc8m8bXGeW8aAjuzU1xRg/5lpBEyRgGJ4I47tSdQnGkTxi19vlfW9JdtVoxfA9QByAL7GGHui+APg/xa2ubHQ993LecGllBZBb/Tsx9JMfZd7iUx9BYCUu88NEvUJgiAIgiAaQd3umBhjWwEcAbAVlo7igZUxubbCz7p6PS9xZdIV8ghnMAdawh5kFB/+vu1t9jaJ/Q/ika9/Bd8amMTf/nTYYU3KGSayJU59xhjCFSJgVKXcLXxqMol4zkBEcuqPujrtthzlQ9SOHMGjKkBb2Po/xkNC1A/FR/DkicmyfetNtmDVDkiFkM2mLvu1EU7kAZlkJVF/zY6yvtCdr4MSsAbiVJhYFxvAgXOzDvG8kcVyXyhEwXhcKsLxEbtfbRfFmYvRO0BlUV9efyUTKSmWG605U9+Er8Spnxs6BiM+Zy/fuKHZrkfAlPL/4XSdc/U/+/3TaF84ay8bXVYh9Vqd+js6g/j0/Zvw8Xs3Vqw3cC1z3+4u6AavKOr7XM6B8US2sls/IV0fcjqvKv6XIov6w7NpxNI6AlL8Tt4jIsxdKisTLgmiThwp/N5bZX2x/2iNj9cJ4K6Sn92FddHC8u3Lf5nVKT01Gm7WlzL1OVOgVpn1VsSlKg6nPkjUJwiCIAiCaAj1lLb+FEA7rGz9XQCCnHOl2k8dn5e4AnFrCloDQnTau8Fygj4avgdTkrjU9e0/gKpbzlDZ8ZsrceoXxbpQBXdqJRfuycmk5dSPi0z9i0q73San/sqQY4u6Ih77fx+LCFFfm7uIC9MpR82DRlApfseMFER9EovKCMiFjnPlQrzW3g/vpn0AAMUfRucH/wVdH/oKfNuFVrEzNYDHjk84Clw2sljusUKevlsDQpJTnzeLfHi3FK3jqSDqXy1u4FDJgGbzYpn60t+c1y2n/nxkLdLeqNXJOdInnra3Cftc2NlnDd54Kog59SyWOzC8gB+8MI7W2dN2n9G91THjohZ8LtUxu4uwWNcWwKaOIBakgdZ8IX6HMeaM4KmSq58oKaKbrnC9KCWnm8jqQnp8dnAGCjfgN0V8T94jnPpUJJdoID+BFZmzgTG2p8L6Bwq/F3XXc84vcM5ZpR8A9xQ2e6jQ11S/l19B1G+wqu9w2quuJa/FKmOAImfqU6FcgiAIgiCIRlDPu6bbABzlnP865/wY5zy15B7ENU1/VBQ97G8vOPQYw9/3vAtQLGEhEruIvUf/EQAQk1yDlTL1AThy9YtUkhRPTiURT+cdTv3ThsiNpkz9lRH2adjeE8TmTj96m712fy4qCuUqs5fQEfZg/5nphr6WyqK+NRuD4nfK8Zc49Uun8zPG0PvpH6H7D7+Jdf9wGpEXvxmMMfh33mFvsz01gMcGJuGXhN9Gxe8spPIYnrUEwXY+7yiGrEeFC1kW7as59a8GIo7isGzRLHmXHGVmcmtbxjDaIfSt9PGSXP1CBI/HUy7qT6fqJ9j8+Q9Pw+1S0SIXye3ZDpfGrooZFT8PvHxXJ2alGjL6xHm7LddniGfKz928YZYVqU/VIOrHpAECt8bwo4EJh0sfALKSU/9qGWwjfv7gnOcAfL6w+HnGmJ2tzxh7Hyxj0lOc84NS/3sYYycZY59e3VdbmdIrodloVb9M1F/8/FQVZ6Y+KFOfIAiCIAiiIdTzrikH4MySWxFEgQ0tQtTn0g3Ck8kOuF72dnv5Rc99AaH4CKal7N6czp3xOwUBK+BRUarXZs1yWX8ho+PS0BA0Q+RDD/I2u93f4i/bh6iNsE9DS9DtEODMZiHqs3wGm3xpPH68sRE8OTtTv1L8DomDpQSkTH3D5GXCHQCogQhCt/4itCYxq8W3XYj612VOY2o27hgQaJRTf2BkwW6vVWbtds7XjJwm6h/Kor1HU8rEEPcVXiS3iCzqN/tdiwrgcuFxXTfhUhW4FObM1R/4iWOfWzdZg54edwVRv05Ofc45DpydhVcDWuak+J1lFMkllua+3V2Y9QtR3xgftM9ZebZbPKOXiYXJCkL/ckV9n0vF80PzCEpFcsEYstJ5S6I+0WA+CeAAgFsBnGGMfZUx9lNYs45nALytZPtWAFsAdOHngNLre8Od+ro4f7mqLenUVxgDV6XZYkZjZ2YSBEEQBEFcq9TzrulxWAWjCKImNkrC+WQyh3XtwqV3cNc7kA9aIrtmZHHn/j92OPUzecNRCLco6iuMIViSoZys4hReuCjGoPL+ZqRU6/VEAy40BcipX0+0YBR5qQjienUWT56camhxN5GpXyl+p2FPe8Wiqc5iq5WK5VbCu3EvmMc6d9w8j82Z04hJA3CNcuoPDMfs9kZJ1M9Gex3Z3bIYzBgri+C5WsTDiFcIKNFFoncA61gXMbg1iON1KRiTRP3MqWdg5sSg5w3rovC7NagVMvVnU/m6OEUnFrJIZHX0GuP2gCtnCozOLXBTIYy6sbkziJgUv6Nk4jATVg2FoFe1oz1MXh61k6hwXUjnlh64W5BE/bH5FEwOh1NfCUSQNaWoLDreRAPhnGdgReR8AkAKwC/Cqvn1zwD2cM7PVt/7Z89qZ+ozOT5HdTk+QyqhKgxcoUx9giAIgiCIRlPPu6YPAYgyxj7DGKO7MWJJusIeOyLC5MDNW0T8zePnMzh0+/+ylzcMPQbfhWfsZVlYYLDiJorIxXI9mlJRhACAsJSnn4yIuI51bYFKmxOXgVdTkAqL/3GvMYmx+QxOjcUb9pzF/GY5foeTU39RliqWWwnmcsN33c328o7UACYXMvZyw5z6w8Kp32VM2W29uc8xy6BUtC8V9a8WB/ienpB9Hbx5TWTRbUtdlrrB4XepmGzdCl216onwfBbZs4fsbXxuFdevqxwLrZvcIdqulLMTCQDAuswFu89sWw+4/VfNjIqfBxhj0CJtyLnEwHp+3IrgURhDSBoYj5Uc10rFc5dy6ud0Z1ze/tPW+RqQnPqKP4KsLh7nahlsI35+4ZynOecf5pxv5Jx7OOednPO3cs4vVdj2o4Vs/LfW+NhPFLa/r+4vHOXxO400SAAAl5z2XNGWHGRVFTid+iY59QmCIAiCIBpBPe+a3gyrqNT7AZxkjH2BMfYRxtiHK/z8YR2fl7hCURjDumYRwdPdKsT0A4NzeKbvPox1iMkfbacestvy/YvHpTimIreE3PYNT0vQhYQkOKyXni8SE/dt8wFZ1BczBoj64HEpjsKMbTkrEueJE1PVdrlssroJVc/Cl523+8xINwDK1K+GI1e/hkiNIj4pV39HulTUb4xT/5gk6jenx8SKlv4Sp77zWJfm6l8ton5rwI1PvXwTPnHvRuzrXVzUVxiDrMnkDRM+lwJTdWO8fZfdP/uNP4WZEcLrjn4h6puGiZD0fqlHrv7ZCWuQry8lMt6N7q0Arp7j9PNCa9CDhZD43JsaPGW3I1IET+lgTalzHwDyBkfeqD54t1CSp//QC9b1Pyg59dVgk6OQLhXKJYjqMMYcwn6j43dgOJ36riXOT5U5nfpMJ1GfIAiCIAiiEdTzrumjAN4Cy0CyEcD/B+Ajhf5KPwSBDVIEjw5mC24ujwowhlMb7rfXd51/ouJjlDr6/G4VO/tC2NIZQF+LF8mcuJnY1RWCVhB05SK54+5Ou01O/frj1RTMBkQUrXthGC1BN54+O9Ow50zlDQRSztx+M2xlwZNTvzIrceoDzlz9bekTMHJCAEg1wKmfyuoYnBKCYDAxareVtjUwSwb9ZErFQs9V5AD3uVQ0+xeP3ikiFzrMGxy+QnHji7232v2J/Q9i6PduRvbiCQDAug4x4BlP5dEiPVc9cvXPTVpO/d7koN2nd28HQKJ+vYkGXIhJov7JI0ftdrg0V79wQuV0E3lDnFxyBEilCJ7zs2kcGo5hQYrjUhgwMmcVuHY49QNNyJBTnyBqRj7/Gi/qOzP1tSUyDK1CueLzgZkUv0MQBEEQBNEItKU3qZnSolIEsSRyrv7QfBq3bW7FowOTiIa9AIAL/XcB+z8FAGiaG8T89AWYrWsdj1Eq2gGWOFkUKGWnftSnYWOrHycnkw6n/nmpSC6J+vXHoykYDwqnvjozhJ5+Pw6fn4Nh8oaI7LF03hm9E2oDNKtWgrpIEdFrmYBUBDWnW+5bVw3Z1r7rbgZUDTB0BMw0OufPALDOqUY49U+MxmwRw+9W4Z8QA3Su9jUoPiNjsAfxinhd4m9U2LU7wONSGTIFncUS9a3j/PzOt2Dv9NPwnrfiznJDAxj63RvR+Tt/h2j3y+z901kd8ujJdLIeTn1L1O+Mn7P7jO5tAJwRa8Tl49VUxKRItKlzwqkf9FoF501uiYXxrIGIT3O49N0ag0dTEC/0pXKGYzDg/Gwaf/bjCzA58IbtnfZ5eL4wcAMA64NC6Ct16pOoTxCLwxjsMH3e4FR9JmXic8UFV4XaKjJaqahPhXIJgiAIgiAaQt3umjjn/7ycn3o9L3FlsybqtW/2cwbHjZutXP2mgqgfC/ci17HZ3l554aGyxyiN0yhFjhEJuFVcVxDtZVH/hWyz3V7XTqJ+vfFqirMw48wl9Eb9SGT1huXqJ7IGAskJe9lsEjMFqAZjZdwac4jgtRbLVbx+eDfts5fXzT5vtxuRqT8wIorkbu8OwhcbsZddHWvttkdzRnMBQMhnCZYAEPFrZeuvFeRCh7ph2k59XfPh/Nu/gegDH7DX80wSY595M/zf/WO7L5czMJ8QhXTr4dQ/O5GE10yjJSEGaQxy6jcEj8Yc8TtsZggzheNZlqtfcNrLefoBjwa/NAiYLonreuLcLEwO+DXFcU158oQYaN3HRcyS1rZ4LQyCIJzIATzmajr1lRqc+qXxO+TUJwiCIAiCaAh010T8THGpCvqbvPZyR9QPBqAp5LH7PDe83G5rAz8qe4ylbv4dor5HxXXtAbhySfgzs3b/RdZut9e2kqhfb8pE/blL6G6yjvGz52er7XZZpPIGglL8jhkRoj5l6leGMbbiCB7/DhHBs3H+iN2eimcrbX5ZyEVy90ZzUCUXodbWb7crCcEuVcGO3hDWtfmwod1ftv5aQS6Wmy8Uyi2SMhW0/8Zn0PORb0EJihz99kf+DJvO/RAAkMnpGJoU8SkzlynqL6TymI5nsSZ70e7j7gDMljUASNSvNx5NwUK4z17uzE3g6TMiDq1Srr5cdD7oUeGTRP2UFL+Tzhs4Uhis7QiKz3K3xvCjAWugVeEGuscO2Ov817+ERH2CWAarGb8jO+1NVVtyhpuiMJiO+B1y6hMEQRAEQTQCumsifubIufqTqTz2bmh2uEg7bn+l3fae+wmQTTr2rxS/U8QwucMpHHBr6Il40JURGdy66saMZjn1u5u8DqGCqA9eTUE81G0vMz2HdW4rhuHZwbmGPGdWNxFIVhb1r9XIlVpYcbFcSdTfsvCCrTKMLWTwxInJarutiIFhyanvEwJ/2tMExRe2l6vl5Qc8Kjojnpqiha5WnKK+6ZjxlClcM4M3vxprP38Y7r6t9rqXPPkHaJ49g2zOwGlpxsTlFsot5ulLIE62AAAgAElEQVSvz16w+4yuLYCiQFXonK03npKB1vb8JA6cFudp2C9E/UTGgGFyJKX4naBXhd8t3jMp6VpxeCRmZ+93BNx2fy5v2I7+rfoFKKnCtV9R4d91t0PUp0K5BLE4TlG/saq+UhK/s9QMN5XB6dQ3yKlPEARBEATRCFZ818QYe4wx9ihjrFdarvXn0fr9CcSVzoYWn90+N5PCzrUiCieX1RHeeSd4QahT9Cxcp//bsf9iN/+lomTQrUJhDFvNMbsvEeoFZ9ZjUJ5+Y/C4FORdAWR8Ubuv15gC0Dinft7gjkx9Q47fuUYjV2phxcVyt91mqwwhfQHReavYqaYqePs/HKpbzFJON3F6XDxWjzllt2WREiB392KUFsr1S6J+SqqD4OpYi56Pftt27Lv1NF758O9ATS0gLgn58ayBjL7yqKVinv6GvHDqU5HcxlEq6mswcGZgwF4OeERMFQcwHc9BlzI+Sp36umHV4ACAAxfFQJss6p8cFYNAr/KIDH/fdTdDDUQc7x9y6hPE4sjCeqPTd2DKov7S5dhUhcFUxXYKOfUJgiAIgiAawuXcNd1d+PGXLNf6QxAAgPWSUz+eNcClGIiR6SRm0iY817/U7nMdFxE8CsOi2Z5ykVyXwuBWGTjn2HD4n+z+2ab1dpvy9BuDV7OOaUwqlhtIjKDJ78LYfAYjc+m6P6cJjkBKytSPdNrtJWq8XdMEHDnZJswaw3rVUBSetTvt5e7xQwAATVOQM0x87cClarsuizPjcdsF7FYVhJJigC4Z7rHXASQGL0Zp/I5Puu6WFjd2d29E1we/DF7IcG6KXcRvnvoUstk85Kvv7GW49Yui/trcBbtPFMml41hvPJoCQ/NiLrLG7lt7/mFMLGQAWLn6cuHb0XkRo+V1KdBUBS61vAbHVCKHczPW9dzvUhDyiMd4+AVxru5JHLbb/r3W53taF+87H527BLEo8hnS6PgdWZQ3axT1uSLid0jUJwiCIAiCaAyXc9e0DsB6AIPScq0/60sfjLh2CbhVdEkZ+lMp4QiaK0R3RG+63+5zDTxs38F4XOWFMGVKi+QyxpDY/yC0syLL9+neX7Tb69qCl/fHEBUpui4XHMVyL6I7ag3oPDtY7tafiGcxFrucPHbmcOpzit+pCZ9bcUzrT60wgqdnzBL1GWPQVIYjF+fr8vqOSXn6W7pCMCaH7OVstJdyuWukNH7HJzn1KxU3dt9wHw7c8C57+YaFA/iVma+CG2LbyymWe64g6vdmxOCP0WXF/tDgTP3xFAZKTm56ld1338LD+OlpMfNFFvUzcoxdYTYPY6wkgsfEgUvi/OwMiM91VQEOFK7zHjODyIgQ9QN7X1b2HF4XxeARxGKsZvyOnIlfk1OfMYf4T5n6BEEQBEEQjWHFd8qc86HCj16yXNNP/f4E4mpgQ6uvYv98LINHByYRfJEQ9dW5EahjJwDUUCQ3K24kAh4VXM9j6h//t+i78RV43LzOXqb4ncZQjEiKBUWuvjozhN5m67iXRvCcnkri448M4pOPDuKFFcS2ZHUTCgMCcqHcJuu5GSwXKlEZS6hbYQSPJOoXnfqA5dYfGInBqNH1DwALmTw+88R5fOrRQUwlhAP8mJSnv6037BD189E+5CRRn8Tg6mgl8TtyjFmpUx8AYhkdz+x9Bwb777b73jT9FbgmztnLlyPqn51IwGNm0JQXNTbMNmv8312lNgKxcoqfnSc2vxZmIX6uKz+BC0/90N5GLpYrE5QiunweuViugWeqRO/EM7rtJr7VPAEUMraVQATezS8C4BT1fYvUyiEIYnXjd+RMfTlWp+r2JZn6ikmZ+gRBEARBEI3gcjL1Bxljf1LPF0Ncu8jFcoukMzoyOQP/fWoKRrgN2b7r7XWuASuCx7vEjX+pU3/++3+H/MgZq0NREPnVTzmiX0jUbwy2qC879Wcvoafg1D9YUiz3+VEh5D91YfkO7+HZFLzZBWiGEIOLhXLJpb80gRUWy/VLon44MQZfegYA4NJUpHOGHbFSCz8enMPQXAYjsSweOycGfY6PCNFwR28EmBaiPmtd44ghqFYol3A69TkXEVluheGGzjCOXorj3GQKE7EsUlkDC+k8wBQ8/OI/toteK+BoHdpvP850cmXxO5mcgUuzKXTkpUE41QWzUAeDBmfqT1HUTwQ7MdwvztuWw1+x2wGPikrJR0GvEOvkAcDZZB4zhZl2DECnNAPv3JS4pr8Ex8X+u+4BUzVwzh3xO1QolyAWR/50W8Z4+YpQTHFuyrE61WCMwXTE79T+PYIgCIIgCIKoncu5a1oLoK1Or4O4xqkk6scSVvRKMmvgp2dn4bnh5fY618DDAJZ26suZ+hEziZl/+7hYvvc3MOZfa4uAmsJs5zhRXzy2qN9r9ymzF9EVtf7fp8fjiKWFk2teap+dTsFc5tTy4dk0AkmRpw+3F9xvFfqkPP2lkUX91DKc+lpzF9Rwi70cnb9g9ReUwaPLiOAZWRDRS6OFtmFynJAGfLZ3BaHMDovnbxf54Aw0gLMYrpJaJMXl3Z0h9IS9SGYNTMZyGJxM48ilOCbn8+gLe5FzhzC17k57v7a5M3Z7ZoVO/cGpJDgHOvPjdp/R1AMohYEGytSvO/Jn5+ntv2y3d888heEhKwKJMYawt9yVK18f5GK5Wclpv7sriIAUoXNoSJz7W+fFLB7/3l8AAOQM7hAmfRS/QxCLslrxO5xzMMlpX0umPuB09Cuc4ncIgiAIgiAaAd0pEz8XtPhdiJZM9W+Vlh8dmEDnHSL7Vzv/DFhqHp4lnPqyqL9u/9/CiE0DAJg3gNY3fwznp5L2+v5WvyOSgqgfqsLgUhliIRG/o8wOoydixTNwDhy+INz6c2lxA5jRTQwXijfWysh82pGnrzR323fAJPQuTaAkfmc5goG7V8RZReetaBZXQUA8KuVtL8WEFLkzURjgOz+VQLpwTisM2OhLQZFmY7gkUV9T2aL1Nq51GHMWOdUYg8qAdU3VBzb3dIYAANlCAVsA6IqdtdvTKyyUW8zT78xJha1bxLGk+J36I4v65/vuxIKrGQDg5jrOPvgP9rpwyeeyz604rqFypr6qMNthv6sjZPfHsjrOFj5rW/IzCEyLgaBAQdQvjXyi+B2CWBw5RrCRkfomBzTJaV+rqE+FcgmCIAiCIBoP3TURPzeUuvX39Ufs9qMDkwhteREyfssFzEwDrhOPLVlMrxgdEkyMof0nf2/3Nz/wAWjNnQ5Rn6J3GotXUxzxO8zU0ZKftcWlg1Kx3IWM8wbw7HRqWc81tpBBMCUEQiUqFckloXdJ/JIT1+TOrOulcPdtsdvN8+cBWJn6AHD0Um1OfcPkjiiXeNZAOm848vQ3tAehzYmiqmlPE3whcc0odaIT5ZT+j9Y0+WxXPGNAR9gNnyTaBt0qGACzd4fd15sctBWlmWR+2bNqAODcZEHUz4tzlrfKoj59Vak3crxNhqu4cJ0oGO/96ZftgbxSUT/ocS67VMXxPmryaGjxa+DSJWNoIQ2lMBBwY/aI2LdzHVxdG6zXIF1jVAbHgBNBEOU4nPoNfB6jHk59EvUJgiAIgiAaAt0pEz83bGgRDlGXyvDKXZ328uhcGu/996OY3Xi33ceOPeRwCVaiWOTzpkN/DUW33N5qtBPN/+P9ACznbxES9RuLR1NgaF4kfSKeRZm9iM6mYrFcy6lvmByxElH/zDJF/YlYDgHJqc+iUoFeEouWRFWYo15Fahm5+k6nviXqF536J0fijkK21ZhK5soygifiOQwMC6f/9t4I8hMX7OVYqMfOhQcssZFYHFmM1U2Ozc1iYNXnVrC+3Y9dvcJxrTAGv0uF1i9E/YCRRCgxBgDIVzh3a6FYa6EjLzv111Z8nUR9kJ36HID/JW+1l6MLg0gft2olWLn64v8f9JYPpMsRPBGvhjv7m23ncDpv4PhUEq7CuXkPH7C39e95qT2bJq3LRXJVmmVDEEsgnyGNdOobJocqifK8Vqe+Kjn1KX6HIAiCIAiiIdT2zaw61zPGPrySHTnnH196K+JaYmdnCN88Nom8wbG7K4TOJh/2rm3C4UKh1O8cHoWi7MA78A0AgDbwCGCagFrdrZ/MGQDn2HDhEbuv9c0fheILAgAGJ4VTf317sBF/FlGg6AyNh3oQKBRQVWaG0Nm0B0PTSRy5OI+cbiKRM8pcZ8VcfaVGoWcmmXWI+pBEfcrUrw2/W7Xds5nccpz65aJ+cUZNzjBxaiyOnX2RivsWmYiXx7hMJHIYkJz6O3rDyI9fsJfjoW50qgy5wmiARkLwkliDLdaATTxtoNXvttcphcgbpRCdlTes/2vQrSIUjYK39IHNWDMlIpMn7OK508k8mnxLF1KUKYr6XVKmvtnSD8CK3iGBt/54Sga9tu3dg4P+Xbg+dRQAMPqdL2Dj9tvAGEN72I2x+SwUBkQD5cfW71YQK9Sb39Tsd2TpHx6PI29yuF0KGDexZVbk6Qf2/ILdzkjxO16K3iGIJWGO+J3GqfqGyR1O+1pFfdnRrxgrq7dCEARBEARBLM7livq7Cz/LgcEyhpGoTziI+l344F1rcWk+g93dljv0w6/djt/91+cwVHBq79d24reYCoUb8KTnEDv+U0R23lb1MRM5HeH4CLxZIQaG7nyd3ab4ndWj6KJeCPWgc9ISjpSZi+hruw0HMINs3sTA8AIiIU/Zvqm8idFYFr0Rb03PNZfMI5iqLOpT/E5tyPUqMjW464vIon44PgJVz6C9yYtTQ1bf0YvzS4v6iWx5XzyLgRGnUz938KS9vBDqRa/CkAOJ+rUi/4+mpYGUuXQebq9Y59EU5A1LdA24VIS9Gvwbr0e6IOpHJ09geMNLAAAzqRw2orzweTUMk1vXYc4dTn2jkKlPRXIbg0tl9pcxAAj5XDjc/ypcf9K6Nuee/jqM5F9CDYTR3+JF1K/B61IrFqf3S079Jq8Q/XlqHnMXToCF++DSVKzNDsFTGNCFosB//YvtbUud+gRBLI78VaZ0Zls9MbhT1DeV2gZt5Ux9leJ3CIIgCIIgGsLlivrnAPykHi+EIACgJ+JFjyTc7u5vwiMfugvfPzKGv37kHE6NASMde9A3/iwA4MwjD2LfoqK+ge7p4/ayq2sD1GATACCWzmNGKsa5nkT9hiI79YtoY8exdXcEgCUOHjw/i32b2yruf2Y6VZOozznHQlpHMCkEQjRJmfoUv1MTslt2OZn6ro51YJobXM+BgaNpYQhadJO9/uilebwJaxZ5hMpO/XPTKcSkAsrbesKYPnnAXp5s3YadksrhouO8JHJEkawJnZ1LIRIUXw88LgWJQpRZwK0i4tXgX78L6QP/BQBomTltbzudXJ4j89JMCjndRMiMI2Cm7f5ioVzK028MjDF4NMUesMsaJrw3vQax059D2IxDzacRf+Lf0fSKd0BhDBF/dSGvUsF6dfQ4Qn/5GvxqYgY5VwCXmndgLiHeG95N+6CGmu1luVCuj445QSzJqmXqm1iRU5/LmfoUv0MQBEEQBNEQLlfUf4pz/ut1eSUEUQVNVfDqvT145fXdeOz4JM5+5XZb1OdHHgLw2Yr7GSZHOm+iXRL1vRv32m3ZpR/wqGgLlzvEifpRFH7G2sXkHtfJx9H7OiHgHDo/h4190Yr7n5lK4Z4NzRXXySykrGKdcvyOGRH1GRQSe2tCduRmlyHqM1WFq3czcheOAQCa5weh9Gyz1x+9tFBtV5uJRLmoPzyfsds7eyMI5GMYGz0j9mnf5cgYpkz9pamUVW+YHOfn09jWJeLI3JrYrujU96zbZfd1LIjjsFxRvxi905mTXPouP3iwpey5ifriEPV1Ezde14NHI/fgtXPfAQBMfvEDUPxhhO/5lUUfxyiN/shnEPnXtwMJy5XvziexYeKAYxP/npc6luWBQ4rfIYilYfjZxO+Yaq1OfXGLycipTxAEQRAE0RDozom4YlAUhpfu6MD4urvsvvDEAPTZsYrbpwrOP1nU92zcY7dLo3cot7mxFJ36l3pvgemyiuOyTALRSwftbZ4dnMNcWoiCTT5xU3h2xsrVX4qRuTQ8TIc/M2v3meTUXzaysJbVzZr+90VKi+V6PeI4nhlPIL1I4V3OOSbi5fE7aUOIfndva0P61DP2csrXgkS4xxFBQPE7S1NJ1L8UyyBncIdzmkviUcBdLuq3JYeh6ZbLfjpZPiCzGLaoL0Xv5JrX2DZUcuo3DjlXP6ubuHljM77X9HLkmHW+8mwKY595Myb+6t0wc+XnZJFU3rQ/bwEg8N0/AoYHqm4PAIEb7nMsO+J3NIrfIYilkL/KNLRQLudQTPG9bEWFck29oQMPBEEQBEEQ1yp0t0xccSg9WxELioz05MEfVNwumbWK5LZNn7D7vBtvsNvnJ2VRn4rkNpqi81vXfIhvvMPudx/7AcKFwpqzyRxGJUf23p6wLScmcwbGK4i9pYzMpRHNzzr6eFgS9UnrrYnS7OzcMnL1PX1b7HZ0fhCMMTt32zA5jo9Ud+sncgZSFWYGMMbgKwwO3LO1HZmTP7XXjbftRNCjQZeE/0qCNeGk0myGs7NW/RL5GORN0Q65VXg1Ba6ujeCFwTkFJppnzwIAZlLLc+qfmyyK+qJIrl4okgtQpn4j8UizILK6iZagB4G1W/Hxnv+DuCI+E+e/+zcY+sAdyEiFqWViGR1TKWswRzv1JDyP/ZW97ui2N+Cbr/wS9t/w20huuguurg2I/o/3wbfdGZtHhXIJYnmw1RL1V1goF3L8jqnDaGTwP0EQBEEQxDUK3TkRVxx9zT5c6L/TXo4d+F7F7RI5A8HkuMOx7dkgnPqDUwm7TUVyG49XEomnt7zMbrte+AH2rW2yl2XhvivkQW+TyNE/UyiYvBgjs2k0S6K+HmiGobrtZXLq14aiMLglYXw5ETyyU795/jzSeQPbe0Vx3KMXq4v6cp6+36WgySuEgYDfhWjAhV39TQ6n/njHbgQ9GvKGEA00EoOXpHTgw+Ac4wWnvezUT0vH3u9SwTkHU1W412y3+1tnrVz9hYzuEGiX4lwFpz5aRM0Fit9pHPIsiGIMzy0bW/BscB/es/bPMRzabK/PnXkWJ99zM5IzE2WPE8vqODwWx/mRUXj/5Z1iRfd1+O+bP4jh7pvw7A3vQMuHv4v1XzqD9t/8bNnMOPk95iNRnyCWRD6HzAam6pcWyuW1xu9I37sUMw/dIFGfIAiCIAii3tCdE3HFsb414BD1k889Ap4vj3xI5HS0Sy59rb0fWqTVXnY49dtJ1G80svN7YsPd4IUbUnV+FHf4hUs3lhE3j00+DZta/PbymakaRP35NKL5aXtZj3Q5HGKUqV87nhUWy3X3CVG/af4C0jkdu/qEqH/k0nzVfScSYlCnI+hBe0gIAwGfC3de1wYFHJlTIqN7vH0XQh6V4neWSen/yGTiHyiLrEkpLklhDLmCOOPfICJ4mqdP2u3R2NIzagAraqlS/A5rW2u3KX6nccgDrdmiqL/JqmUw4e7EO7s+jcc6Xmlv40tOYvDBvyt7nHhGRzKnI/SfH4Q7VriWay4MvubPoKuiVo3PW10MzEgzgbwUv0MQSyJfvRvr1Hdm4nOlNlEfJfE78owvgiAIgiAIoj6s+G6Zc65QkVziZ0FrwI3h7httsYBl4kgNPFW2XTJnoM1RJFdE73DOyzL1icbikwSkuLcFbMNN9vKW8R/bbdnj2+RzYVObEPXPzqSWzGUdmU2jKTNlL5tNXY5CjuTUrx3vSkX9XhG/4zIy0OZGsLMvbPe9sEixXNmp3xFyoyPoFPXv2dqO/OgZmAlrYICDYbJtByJeZyQAxe8sjSbNxmAAXNI5Kjv1YzndIboWZ2141omi181Tp+z2SI2i/lQsi3hhEK9DKpTLW2WnPon6jUIeaC3Ga929tR23bLSEfUPz4MAvfAKHdr3N3o7t/4+ya3Asq2Pzue9j86CIwmt9y8ewP9eDvPS+SS1SS0N+v5FTnyCWZlXjdwwpU1+tNVPfGb9DTn2CuHxiGR1fPjyKrx8dX3YNI4IgCOLqhO6ciCuOJp8GXfPhUrcQhZMHyyN4klnDUSTXKxXJnYxlHQIDifqNx+H61k24973CXo6cegQA4HYpjinlUZ+GjS1+25EWzxoO0bcSo3NpNGWFUx9NnZANYqT11o7HJRyz2WVk6iu+IJSWXns5MncO23qEU39wMolYunL2+mRCEvWDbpjS8wb9llM/fVK49GejG5BzBxFyCwFBZZajnFgcxhg2dQbQFnJhS1fArnsAOJ36CxkdSUl0Lb4X5GK57fOnbWVpdKE2Uf9sIU9f4QY6dGkgrhC/ozIahGsksqifLdSjcGsKvvzOm/DZN+7Gni1tCPjdOLbtdfZ2rrGTyJ573vE4sXQOtxz8nL3s23EHmn/pgzg4OIe89L5JLirqy/E75NQniKWQvyvxVY3fqTVTXzj1mak7at4QBLEyHjw2iaeHFvD4uTn80aODJOwTBEEQJOoTVx7RQlHVoX5RbDX5zPfLtkuUOPU9cpFcyaXfEnTbhVqJxiFHPWTyJvw3v9peVoePotuYhlcSZt0qg1dT4Her6I6ICIczM4tH8IzMpRHJCoGQRbspfmeFlB6z5eDuFxE80fnzaA17EPaJ43tsuLJb3+nU9+CiVPsiGvIgGnA7i+S2W8Jyu+Topzz92gn7NGzsCCAacDkc0g6nfiFepYhw6gtR35+PI5i0oldGYqLY9WIUo3ea9Vm4uBjkMQqFcsml31g8FeJ3AOsauW1NEzoKBeQXwv0Y67jeXh97/MuOx/Ef+R4i8WEAAFdUdL73S4hlTZwaizsKbCcXqbUgX1+oUC5BLI18ljTaqc9MaRC+xvgdpknxO0beUfOGIIjlk9VNPD8as5dzBsfh4dgiexAEQRDXAnTnRFxx+FwKNIXhfP9ddl9u+BRyo+cc2+VmRhFMCXHXu3Gv3ZYFRXLprw4ezen6Dq7ZCqNtg933Gu0ovB4h+kZ9LtuJtqm1tlz9TM7ATCKHSFocd6Wlh+J3Vog8u2I5hXIBwNvnFPWzOsfOPlEQuVKxXN3kmE45nfqHz83Zy6qmIqubziK5BVG/LywKKlOe/sqQHdKyczpWxamvhqJg0oyMYrHc0VgWp8di+K1/eBYf+PcjiGcqz8o4Mx4H4MzTz/pbAI8lJpOo31g8amVRP5Uz8OXDY45tT256ld1eePwr4IYY5On76RfttrnvF8Hb1uKPvm0NqOer1GYoJa1L8Tt03AliSVYzfocZyy+UC0126lOhXIK4XI6NJ+yaRkVOTS9da4wgCIK4uqE7J+KKgzGGZr8L8VAPZqJCFE4edLr1laEjdtuIdEKLdtjL339eCBY3bmhu4Kslijhc37oJr1tFbtfL7b5bEgfg9QhRMSK5uh2i/nSyaq7+yHwaABCSMvXV5m7HDa9KsSw1IztmdZNDN2u/KXeXiPqpvIHd/SKC52iFYrnTiZxd7FZhVvzKocEZGFJ+0sTMPLKD4tweb9+F3ojHIQBTnv7K8JVEZJmFE2choyORKxf1AcC/Xrj1W2esXP103sSb/vYZ/OjYBL5xcBgf+cZA2XNNLGTw4LMjAEpE/aY+u+3W6Dg2EqdTX5zbXz0yjvlCrQNNYbh/SwvOrL8PhmJdk825caSefwwAkD6+H61jIo4ndc878cDn9uNrz1jO/Zwk1i+Wqe906lP8DkEshSN+p4Gqfmn8Dqs1fkdxxu9QoVyCuDxOSbPMi5ybSSFP0VYEQRDXNCTqE1ck0YLge6HvTrsvUSLqe0ZesNvmGhEdMDybwnNDQlB8xfXdjXqZhERp1IPCAOy+3+5rGz2IJkXEdkS94oZwQ4sQ9WNZA/FsZXFoZDYNcI6QNENDa+lxbEPJLLXjUpnDDbgct767Vxb1B5HOm9jZJ4n6FZz6E1KefqvfjafPTMPkQCotBIWZ4wcB0zr+Oc2H2ehG7OwMOW5qSNRfGf4SMTWTN8E5L8TvSKK+9D7wSKJ+dOqk3WbS+f7gsyP40TEh3APAH337BJKF83gtF+drvrnfbpNTv7FUit85PZXEs9J0/ldubcP1PWFkvE2Oz9vYY1YEz/Q3/tTuG+nah3c9yXFM2r9Jirar5tTXTY68NGBIhXIJYmnkz+ZGSnqGCUf8Tu1OfSH+M4MK5RLE5TIWK69XlDc4Ls7XFnlIEARBXJ1cs3dOjLHrGGP/izH2KGPsImMsyxgbZ4x9kzF2xxL79jLGvsQYG2WMZRhjpxljH2eMeRfZx8sY+1hh20xh3y8xxnqr7UNUpygUXOgXIkP66BMwM8LFEBwVor66Toj63z8iXPrr2wPY2h1q5EslCshCDYeVBem+7haYAWumBDPy2D1/sOL2IY/mcPrPVSmyOjqfRtBMwmWIL7iuFuegDWXq1w5jrCRXv7rTthSP5NQPpGeQnp/BLil+Z2QujZmE8wZlIi6WO0JuPH7cEnsTUiRPSsrTn2zbAa6o2NkVdAgGlKm/MkqzzFN5A+m8ibzJkSiJ3yk6Qz3rdtv9LTOn7XY4IOpgAMD/+c8XMF8o6Lb/zDT+67lRe9097Wm7XSySCwAuOo4NxVMyewoAHjo1Y/eta/bhJZua7c9bOYIn9tQ3kRk8gtTT37L7Du/8NcxIRZLfcvsaPPAiMahaTdRPl1xXKH6HIJZG/ibT0Pgd7ozfqdmpr5bG75CbmCAuB9n44uiPU7FcgiCIa5lr+c7pEQB/DGAfgJMAvgVgCsBrATzJGPu9SjsxxjYAOAzgbQBmAHwbgArgDwE8xhjzVNjHC+BRAB8GECzsc6nwGIcLj0ksg6JTf6xzD9Kalb/M81ks/PDv7W2aJkTkg0fK0//ec0LUf8X1XY4pzETj8JQINRndhM/rQn77vXbfrumf2O1EyincN/vFDeJcqrKoPzKbRosuRClDcUGLtNrLjAEKHe9lsdJcfbW5C7o7aC/nR06hq8mLFqmg7X7WIrQAACAASURBVAuXnG59+YalLejGj09aon5SHsQ596zdHO/YjbBHRV+T1xEN5KKBmxWhlAzipPMmFgoxLLIgyznsoodysdzW+BBU3RpQa2vy4nNv2WO77afiWXz0wQHkdBMf/voxe5/d/U3oMSbFi2gToj7F7zQWh1PfMHFhNo2T0vT+V29rg8IY/C4FLoXhQv9dyLoLg+C5FEY/8Uu2mjgXWYvT3XfA5Bw+t4o/f/P1+Pgv7UDYKwTAaqK+HL3DUP5ZQRBEOasWv2NyMENy6mvuRbYWMJfYjpkG8jqJ+gSxUuJZ54zJre2iHtxUkkR9giCIa5lr+c7pOIBfAdDGOX8Z5/z1nPOdAN4B677ys4yxbRX2+xKANgCf45zv5Jy/HsAWAA8CuAXA71fY5/cB3ArgaQCbC891E4D3Fx7rS3X+2656is5BU3HhhX4hCk//60egz00gNzeJYEKI94HNNwAAhqaTOCoJia+k6J1Vw6UwyFprJm/A63Lm6m8e+wncWSu6YWI+7dg/KmXsz0pxLDIjc2m0SaJ+ItDucPtSnv7y8brK3by1wBhDWiqEbI6cAmMMu/urF8uV3Ua5nI7Zwo1KOiOOt//iIbs93r4LOzpDUBizRWaACuVeDvIMmXTewHdPWAMreZM7Io6KcS3unk2AyxrLVmCiec4qWL6lN4JX7e3GB+7fYu/z7UOjePuXnsW5SUs4Zgz4xAM7oI+ft7dxta+z25St3lhK43ceOj1tL6+L+uxaJowxRHwaDM2DM+vF521+fNBuP7fzV5HVOdpCHjz4e7fhF2+wHPoB6Rimqsz0kYvkel0KDbQTRA0oDSiUu5DRywYITJM74ndYjfE7THFup+fKo0MIgqgN+ftxwKVifYvPXp6q4uAnCIIgrg2uWVG/IOR/hXOeK+n/OwAPw3Lf/7K8jjH2IgB3ApgE8D+lfXQA7wSQB/DbjDGXtI8LwG8XFt/NOU9I+/0ZgKMA7mSM3VDHP++qp0ly/+3f+y7EFcuxYKZimPrSh7BwSrh5U74WhDqt4ovfkwrkbu4MYnMXRe+sFoyxMhHJ51aQv+5ucLclHnlycdy1/9MAgMGJhGP/aC1O/bk0Ws05eznpb4cq3flSmsfyWalTHwDyHZvtNj//HABgV1/lYrmcc0xIcTxfe/qi3e5vspLNAskJ+OPjdv94+y7s7LJmA+iUqV8XfJII+4OT03h+NG4vy9FVxfcCUzV41u6w+1tnrQiemVQeecPEr9+1Djesjdrrnzgh8vPfdGs/tnd4oc+KKB60rrUeF4DPTSdsI/FIF8TZVB5Hx8Q1994tLQ5xvclbHsFTJO1pwsnNr0Y2Z+DP33w9tkifqwG3eD/V4tT3kkufIGpCHvuqh6b/T8+O4Pd/cAZ//fQlxwCuXhK/A63GTH2Xc7s8ifoEsWLGS+Ip2wNiJgw59QmCIK5t6O6pMkcKv0tt3K8s/P4vzrnj2ynnfALAfwOIArhNWnU7gCYA5zjnz1V4rq8XfpffKRNVkYvvmZF2/Evbm+3l2CP/jNh3/8ZenmrdagtVsqhPBXJXH29JhrPPpQKeINL3vt/u33rmO1h//hEcuzjvcIw1S8d8tlqm/lwabcasvZwIdDjc+ZSnv3zkY7ZcUV/ZfLN4nHP7AaCsWG7xGCdyBlLS4w9cFIL//bs6AQCdk0ftvliwC/lgO65rswb08pSpXxdkp/7p6ZTd3toeQEtAnINZadaGZ+1Ou90+ewoAYHJgPJ6DqjB85o27HINDANAccOMD918HfXLItplypsBstsrM+NwqRWU1GHmQVY6v6gl7sKMz6Ni2qTBTarRzL2a8nY51R7e/AbrmQ1+zD7dtbnWs89cg6qel895HszMIoiYY6he/s5DRcfCSNUvy+EQS3zwmItEME2CGEA2VGuN3lBLxX89X/t5GEMTSTCfF+dMedKNNirKcTOQaGsFFEARB/HxDykdl1hd+j5f0FysCHq6y3+GS7Va6D7EEchSLpip4qPUVmIkKV7B+6Ht2e75jBxhjGJxM4PhIzO5/xZ6u1XmxhE2pU9+tMTAGZF7y29DX7rPXvfi/P4bU1BjG5kXBWyZ9Ya1UKDeWzmNsPoNWKX4nHeyApFVR/M4K8EgiW0YqkFoLoevvEe2p09DnJ7FLit+ZimcxvmAdY0f0Tt5AriD0/dY96/HGm/sQ8qjokET9ifZd2NIWgFtTwDl3FMolp/7KqSSqRn0a3rqv2xHF5BD1pVz9/snn0DZ9HO5cHKMxa+x7fXsQH5RieADgQ6+6DhG/yxHhkg1328UVAx4SdxtNtez6l5W49AEh6oMpeK7vPrs/r7hxdNsbAQD71jShFNmpn86bMMzy60dGit/xuehrKUHUAqtj/I7sAgaApy/Mwyw8qJWpLxXKrdGpXxrTY2TJqU8QK2VBiqGM+lxok5z6OYMjlq08aE4QBEFc/dDdUwmForVFR/53Slb3F34PV9l9uGS7le6z2OsbqPQD4Joqthtwq9Ak17XH48aX172n4rbJbstF+l3Jpb+1O4wN7cGK2xONw6c5BWLGmCUUqhoSb/kb6C4rI9KfmcXvjn8eR4asKJ2h6SQ++aAofDyTLBf1v39kDIbJHYVys8F2mJKIpJJTf9nIQq5cILUW2jZsRSLQYS/Hnn8CrSEPuqMiC/Qff3wBXztwCd+Rzs9kKo8mfQ5fmfsDPPBvd2Lod2/EvY+8H5sGH7a3GW/fhR2F6B3DdMYPUKb+yikVVTWF4Tdv6kXQozkH5eTIlPViTDo6cQxv/OYv4x3/dDOC79uA0U+/EWY6gbfeuQ7377YGUl9xfRd+6UWWIz8n5ekbLeJjkET9xlNJ1G8LuLC3J1zWX4zfAYBj1z2ARCHy7icb34C033LnyzPoisiiPmDVaSglTfE7BLFsZFG/wljZshiLOQX3vMmRKIiEBi/J1Nc01EKp+G/oFBFCECtlPiPOwYhPg9+tOr6vzVaJJSUIgiCufujuSYIxpgH4JwAeAF/lnB8q2aSoAqdQmWTJdivdh1gCxphwDgLwejQ8nFmPwN1vKts222e5SL/viN4hl/7PAk+FoqtFZ7DZvgGDL/nf9vpbEwcw96N/RjKr4z1f3A82NYRI7CLAORI5AznDGQXzrWdHAAAteSHq58JdDmcoxe8sH1VhjgE0Of86b5g4MZrAidEEchWK6LYE3BjtfpG9PHfoUQDOXP0vPj6I//kfR/Gj42K6fyKdx2dCjyI6cQRmbAbZM4fQfeJ7iMTF2KhVJLeQp286n1uj47xi/CVO/Qd2dWBNYRDGU82pv3EvmK/8I0xLziL+469i7r/+CqrC8Plf24Pn/+hl+Nxb9tjnYn5CiPqskKcPkKi/GlQS9V+2ubVi7FFE+rz1dK3Db6z/W/zOmj/FE7vFYHrIUy72eTXFUdCzUgQPxe8QxPKRZ9PwklT9TN5AfhmF7Uud+oBwBhsmB9OFYKgWCqMvheJyxvRQ/A5BrJyFtHDqF+vKyYPtCxk6vwiCIK5VrlhRnzH2dcbYyWX+3LjEw/4lrAz8QQDvqvS0hd/VPDGVlKSV7FMVzvn2Sj8Azi3nca4GopIr0OvRYJgcwy/5EBSfKNKX9kSgtvbjzHgcp8ZEwcdXUvTOzwRHpn5ByJGLYcZufisu9txqL+9+4qM490AUn/3xvfjCibfh1/7j5Xj5I+8DOMe89AV3ZC6NA+esLP1obtru1yOdkI3lFLW+MrxViuVemslgPqVjPqVjfKFcFFAYw8I6cTxzx54EANy0obls24BUCPmmdU3YMPl01deT8YThXr/HvgY48vQVVhYdQtROb8Rrt2/qj+D2tSJSpdSpX4xiUgMR9Hz4Wwje+lrw3m3Iq+IxACB58AcALBEq4nc5Btfy4xfEhm1r7KbfTeJuo3Gr5RE7N/ZHKm4rF6fXNAVaUztO+zajrclv94e95aI+Y8wxUFRZ1Bd9XorfIYiakM8UOX5nKp7Dc0NxHB6KIVljJMd4vNxFP1+IOTQ5BxxO/drid1RFAVfEuW/kyKlPECtFjt8pDrLLg+3yeoIgCOLaorY5lD+frAWwZamNSvBXW8EY+zCAdwCYAHAv53y2wmZFVTiwxOMnLnMfogZKnfoA8MXnUvj/3/JRTH3BKrw62nkDgh4N331OuPR39kawprXa4SAaSWmmPuAUccI+Nx656xN443++Bj49Ac3MQzOd7pNN5x/GT+IjODnWgfZNLQCA7xyyXPoq1xHOiwKreqTT4dSnTP2V4XEp9lT84gwLk3PMJMSxSVUpgsmvuwMopOYo46ehz47hjbf249xkEi9cWoBLZVAVhiZJTH5VVxb5kdP2cvu7/hJjwyM4c3wAmp7GsW2vw/b+Nns95enXj5vXRGByDt3kuGNd1DFAIjv1TW4VVy3+vwPXvxiB61+MhUwev//9M+gbeRqv/f5vAgDSJ/bDSMagBspjXeRMfbNlTeGxOUUorQIKY/C5FNsp/9JNLVVnuciD6GndxHc/cDtmE3l86bkxe/9wldkVAbeKROH6kKoQv5ORHMVyRBtBENWplqk/MmvVqTE5cG4yhV19ISzFok593XDUNFJdNRbKZbBqpJjWOW/mSdQniJWQyRuOz8miQz8iDaTLTn6CIAji2uKKFfU55/uW3qo2GGPvBvAxAAsA7uOcn62y6UUAewD0VlnfK22HkvZy9iFqwOnUt4SAx45PYuy9v4bxF48gOXQSP933HtygMnztmUv2tvdT9M7PDIdTvyR+BwDCHg2JYCf+/br3423HPg6lygSXronn8ejJPty5qQWcczxYiN6J6nOOfXhTF2Xq1wGnU9+6QV9I6dCl/60cyyMT7tuIeKAToaRVdzx19EmE734DPvHADnsb3eR473dO2rnAkbNPolgi2d27BdFXvRu5eBZ/9YgQgN/QKeJe8lIUE4nBl4fCGG5fF624TlMYFCbym3O6CVfJ9JewR0PQo2G4+yZkPGF4szHA0JF+4QkEb3512WPmpUz9oqhPMVmrx419ETw5OIfeiAe3VSh0WyTs1cAgphyqqoqNnR5HdE4lpz7gzNWv5NTPOOJ3yKlPELXgEPWl7z3yOZnMGjBMvuh3H93kiFdw9BdFfTPvFPwVd22ivsoYoGpAYeyfMvUJYmXMSy58hQHBwj2vQ9Qnpz5BEMQ1yxUr6tcLxtibYMXupAC8gnP+/CKbHwHwGgB7q6wv9h8t2UdeV8s+RA3ITv3WsHD5fv7R89h9++/ihY3W5IdDg3MYm7ckQpfK8Oq93av7Qgkbp1Pfuon0SvE7blWBV1Nwfv19eEeyHe35ScxrTQi0deEvfN9B5sf/DgDomngOj4fuhG6YOD0ex5kJ61i3SkVy054IXD4/DE6Z+peLp0Js0kzCeYOeKcSxlEbftIc8GO6+EVvPWHXHU0cfR/juNzi2mU3lbaGYAVCOPWqvC9xwLwCgLehGb8SD4YUs1kV96GsS57zs1NcoY6lhMMbgcSlI56z3QCZvIuAp36Y74sHpnIFLPbdg0+BDAIDkoYfKRH0juQAzMSeWC6K+W6PzdLX45V0duHtDM6I+rWyARkZVGEIeFbGC+DefyaP0clopUx8oFfXLB//SOsXvEMRykT9ri5+feoVC9vOpPFqC1YX4RLayGDhZcO8bunO2pFarU19h4Krbzhg1dcr8JoiV4Ije8Wp23RsS9QmCIAjgCs7UrweMsfthFcbNA3gt5/wnS+zyvcLvVzHGHFIGY6wDwB2w3P5PSat+UujbwBjbU+ExHyj8/u7yXj0hFwhqk6I7fnh0HNOS4PjUqSm7/Vsv3oDuQtFHYvWp5NR3qYojMqXJq2Fdqx8XPf14NrgPo+Et+Mw7X47I9XfZ23RNPAcDwBMnpvCtQ6N2/4uiGbud9LfDoymQ6+mSiXtllGbqmybHbMJ5g845kKsgKHQE3RjuFuVMUkeeKNtmOinO16ibI3PkMXvZXxD1Fcbw3jvX4t239uHdt/U5innmKX5n1ZAHeCoVRwaAnrD18TjUe5vdlzz0cNl2skufa17wcAcAytNfTRhjaA+6FxX0izRJs+Pm07ot8AOWcF/NDex3iPrlwoOjUC7F7xBETchnW9G7kK4Qb5XTq5X0skhUic47NGRFGZolDntFq1XUhxW/U8CkQrkEsSLmHUVyXVKbRH2CIAjiGhb1GWO3Afh6YfH1nPNyxaEEzvkzsET6dgB/Ij2WBuCvAbgA/CXnPC/tkwPw+cLi5xljAWm/9wHYBeApzvnBy/uLrj2iklNf58CWLpEbOhYT4m6m4ELqa/bhPS/duHovkChDFocdOcqSWz/qdeH1N/Yi4FER8mr4i7fsweauEHzbRMHVltkzaFIy+MrTF/GdwyN2/23t4qYxGWiHW1UofqcOyFnqOYNjNplHBf2+YgRPR8GpXyQ/egb56RHHNrKov2l+AGbaKkXCXB74d4rBHK+mYFtH0BHZBMARA0SifmOpNGujlO7CzKmLveKczY+dQ27UWc/dGb3TZ+dJRP4fe+8dLUlW33l+b5j0mc+78qarutpbGmghEEaNHIs0kg6SVjoCmZFhtZrRSDs7owX5kXeARqvViAWBDCAWIRCgZuhu2ruqrq7u8lWvqp436X1mmLt/ZGbEvZGR72U+V+9V/T7nvPPCZWSkiYy43/u931/kph9EuC0RXYHZiom8ICLEO+TpA7JTv+zn1BeESIrfIYju8JYI4pyj4iPQd+p8bVHo4NR3Ink8Wfh6sDtRX1MYuOr+ZnBy6hPEmhDP0XjIvZ72CR3tJOoTBEHcvNzMracvAwgDmAbwvYyxT/j8/ZTP4z4AIAXgFxljpxhj/wjgPIB/B+AFAL/j85jfbq57GMBFxthnGGPPA/jj5r4+sOGv7iZAdA1WTRs/847DzrzoGG41aH79392BEDlAryuhDoKgGIszENJwz95+nPjtR/DMr70D77qz4d4N7L0NPNLX2J7bOFg4h8fOLGEx1xgirikMt4XdetPF6FjTqU+i/noRhVwAmM1Ufber+rgEowEV9tA+5OK7nWWVU09I2yRLbmN/37Q70Cl851uhhDrWN3eQMvXpM95UxA6eWgcH6O6+hlO/GJtAeuCQs7x0Qu47F4vktqJ3aqbdMZuduL4MSAKCIQkNK31mq2bqC6JjSKdrNEH4YZeyqF464cwrHlWfA040mojh1wMvUBRG3AxkLuOe1z6FWHEBmqagXDPBLVmM17uM32lk6ru/GfDsp2ZY4HzlYyMIQr5uxgLutVbsaC/VLelemCAIgrh5uJlF/VZFuIMAfrzD31u8D+KcX0SjWO4nAIwA+D407qV/G8DbOedtaldz2dsB/BYa2f3fC+AAgE8CuG+FwrzECsSCqhSn8oZbhnBwpDEQQhdESMOw8O67xvCOO8a2+hAJD3KmvnvzKebeD0V0aApDQFMQF4aZMkWBdvSNzvzB9GvSvt96bAR6YcmZL0ab8TuUqb9uGGPSZye6bUVnfNVHUACaETwTQgTPqcel9aJTf3DySWc6+sAjXR2fKcXv3MyXtc2nm/idiXjQiYa4ttuN4Cmf+Lq0nbEoOvUPAADSVYPid7YpfWGPU18U9Tvk6QMeUd+n40/s4A1pdP4ShB9mag6Fpz/vzLc79eEr6q0m9LUc+bpRwvf/y4/jbc/9Ht771X8PnXEs5muA4LDnTIGmd9fpqqkMUESnvnud/+LxWdzzq4/iPX/8tO/oAoIgXMS6FzFhVJy3M92v4DVBEARx43PTtp4456yLv/d3eOw05/wDnPMJznmQc34L5/xDnPPKCs9X4Zx/uLltkHM+zjl/P+d8etNe5A2Owpjk1i/UTHzwXbdA1xSpgJjCgA993x3X4xAJDyEhL1l0Z4rxC/GABruDeyt6hysQ7lo+iYDgGv6+B3fDTLmxLqXIGILe+B3S9NeMXwFLVWEYTbiuvU5xLKOxAGZ3vcGZ9+bqt5z64UoKwelXneWtIrmrYUiFculD3kxEp36nzzugKRhpFmac2iuI+ie/4UQw2NUyis9+0VlnDR8A0Mh39jpQie2BmN+brZooVN3f7ZVE/Yje2alvcy5HsVH8DkF0pHbFNTN4fyU5576Fcldz6rdG3IwtvYZIrVG4fChzGYfnn8F8tgJYQqyHqnfdca4yBi469YXOgf/4dydRM2ycns3jn16kZhBBrERRcuq711NNYVJHuN9IOIIgCOLGh1pPxI6mX3AOZiom/pcHdmHfsBvXYdscH3znYeym4rjbgk5O/VzdcmJyFMZ8h5ADQOJOVyCcWHwV4UCjWRsLanjnHWNSVnspOoKgxuRCueTUXzNBH7FtMKpLrupOIq+3WK6xMAljaQpAQ4hYbjr1980852yjDe1GYH93nXEmFcrdMsRz2LK5VM9ApFUsd3biQdhaY9quFFA59zwAIPOFP3E64bgWgHHvewAANYsapdsVuVCuITn1xZxfL3Kmvvz5en8zvPUyCIJwqV095UwzT+enzeH7e2yskqnfit8ZSZ2Tlt919rOYy1bBhUx9ruoIdFnMWvVm6jc7B6ZTZYi+jf95esn7UIIgBMSIrJinfo04X+xQH4MgCIK4sSFRn9jRiBm/2aoBXVXwg2/a5yyzbRs/+W2H/B5KXAekTH2hoekViLzCT4vwsTfCZo0b2IBRwhFrBgDwHfeMI6TYMJMzzraUqb+x+Dn1h+O6XPy4Q0buaDyAYmwC2cReZ1m5matfqFlODYx9M88466MPPNImWvjBuSwsk1N/c9FVJsU+1Dp05OxvdqSaWhjpPQ86y8snHoWZXkDqs06teVTf9jOwBxvfDZMylrctolM/VzWlwnxdx+94RX2P4EjxOwTRGXNpClYpB8AnfgcdRH2Lr5hd33LqD6fOS8vHl05hPleVHPZQ9a6vsQpj4Ep7pv4zF5PSdjPpclf7I4ibFdGpHw3I11rRuV8kpz5BEMRNCbWeiB1NvyfjFwAeumXIWTaeCFHG9jZCFIBNweWbrZjIVN2GY7lDLqQSiqI4frszf795AfuGIviFbz+C/JOfAa81GocW05BL7EVAYRCbspSpv3a8xXJ1laEvrEmfqc39h/qPxlqubTFX/wkAQp4+t7F/5llnfaTL6B1v3ACd75uLt75CpzzkvX0hfPeRYTxyaAiTux52lpeOP4rkpz4MXi0BAJT4EKqP/BKAhvOfOt62L+L11ubAfL7mzMe7LJRbNW2po1WMXguojD5/gliFVgRPt/E7ncT+Fi0hcNjj1A9Vs0jlyoAlOvW1rkfDeZ36LVH/+UspabvJpRLSxToIgvCnJLSJ4l6nviDyk6hPEARxc0LqB7GjEeMAMhUD5bqFfzmz7CwbjQf8HkZcJ7wuzGpT0MlWTGQF12dphWJP1QNuNvvb9St44le/DXuHwkh/7g+d5eePfDfqgTgCnucjE/fa8Tr1B2M6GGPQVAWaIMT5ObdHojoYIEXwlF9tFMtt5ekPp84jUmk6+BQF0fve1dVxGYJYwdCooUFsLjEhaiVX8R/uzS2OgZCO0WgA1u3vdJZXL76M3KMfd+aDP/Cr4JE+AI3RVl4XGrF9COlqx9FWK2bqewoflwUhv2KIefoUvUMQq1G72hT1GZOEfc4hdZiJrJSrX6yZUGwDg5lJaTkDRym1KBfKVQPQus3UVxrbO/uzG9eKxVwNPzCyjP9c+jTemXsMAHB+Pt/VPgniZsOyuVRgPuq5nkYFkX+lthNBEARx40KiPrGjGRDcgemygU+8PIslwfHztkOD1+OwiA543d6tXP1s1ZCd+iu5TY680ZkMXX0JjDGUXv4a6lfdAnIn7vkJAO2ubXKBrh1vpv5wzG2sh1YpnqqrCgYjOmaEYrnm0jUYi1eRLDfO1/0zT7v7O/oQ1Hh3567pKZLbTWQPsT76hM5UP1Gfcy4VUVV23w4rMdZaCdiN74i++yjMb/2As126arblxRLbi74OjvzECpn6QZVJHaqi8FA13WmK3iGI1alPnXGmxcudZXN0MuSvlKtfNmxEyimovP233MwuSYVyuaJ1Hb+jKQxcaXfqf0/lKfzUUz+Bt09/Br8y/6c4UrmIZIGc+gThh9gJDshxO975Qp0y9QmCIG5GqAVF7GhEp/5CoY7TiyVn/juPDePO8dj1OCyiAwpjCAgNwqppo1y3kKuayAhOfcPiHRuhodvdKI9wZgpmegHpz/2Bs6xw2yPoP3gXAEAXRHzG2gvLEd2jqwoGo43zLRHWpMKYoqhfMfw7ZMbiAZSiY8j07XeWlV99HMmiAXCOA1NPOsujDzzS9XEZQiVkKpK7NfRFXKGmZtjOiJsWpZolOUYjQQ2pQ9/atp+Rn/x9lC33u5OpGG0uNGJ7IUbwtGCQIwDa1jMm5+oL35eq5NSnW1Ji62CMhRhjv8EYu8AYqzLG5hhjH2eM7elhH/2MsR9hjP09Y+wMY6zEGCswxl5gjP0iY0xffS+9YSxcEZ/fXe5x44sd8Z0c/JxzVAwL4Wrad71eSoHZolNfQ6Bbpz5jsIX4HdbsHLhn9qvSdrdXziJZqIEgiHbEIrmawtrMUTFy6hMEQdz0UAuK2NH4CQwAcPdEDN91bHiLj4boBvGGtGbaePRCCjZvCPyia9NbULHFwO6DKETHnfnMF/4Ulde+6czzd/8HPLy3H/1BDZrQ4FVJ0F83R8cjuHdfHLfvikpiwmpOfQAYazr7Zzy5+slCGe946tewe+GEszzaZZ4+IDv1KU9/awhqivSZe936ubI8H9VVXBh/WFoWvuttiL7xPVIjNFMlUX+70x9q1yijAXXVUVCRDsVyKybF7xBbD2MsBOAbAD4MIAbgiwCmAXwAwAnG2OEud/XLAP4OwPsAlAF8CcCLAO4B8GcAHmOMRTby2I0FNyZHvK0RRX0GSAaKTkb9mtVw90fKKd/1oWoazHRd9LbSS/yOp1CubcC0bCiZWWm7w1hCskiiPkH4URTc97GA2mZOokx9giAIghQQ8rH2/QAAIABJREFUYkeTCGltGdrj8QB+/IFdUEjE3ZaIEQsLhTqeuOw6xFShEdqpWO5ARMf82L3OfPrzf+RMGwcfgnn4TQCAO0djktBE0TvrhzGGsE+jIiSIcZ1E/dGWqC/m6p98DHd97mdx57nPu/s69iaEjj7U9vhOGJ74HWJrEN36XhE/W2kX9c+MPgQIrs3Rn/4j1Ew3LoJzjkzVbBtaTmwv+nw60hMrFMltEe0k6hsUv0NcF/4rgIcBPAfgKOf8fZzzNwL4TwBGAHx8pQcLFAH8NwD7OOcPcs5/iHP+TgB3AZgC8BYA/9dGHrixcAW8GWEmXvHEUWuap+h0J6d+a5RVuOov6kdqKcdhDzSc+t3eS3njd5hlIlmoQ8nMSdsdwiI59QmiA6Lxwc/00OnaShAEQdw8UAuK2NEojEkZv2Fdwc+8aa8kMhLbC/Gz+ddzy06h00RQxe6+kLOuU65+f0jD/Ph97gLuNlar3/6LzvT+vhDqprtOoV+7TaMbp/5oLAgAmBVz9VOz2HflMWdeO/Yw9vzml8HU7s9fb6Y+sTWI4m6uYoI3z0PL5ih4RH1dVWBHBlH/kT9E8NC9GP35jyJ05AHpHC/ULZg2J6f+NmfAT9RfoUhui86iPsXvEFtLMxLnF5qzH+ScF1vrOOd/AuAUgLcyxh5YbV+c89/jnP8q53zWs/wigP+zOfvDG3PkzX0bNZjpeQCQzCtiB7eqdCfql5vnX6TiH78TrWWdArcAYCvdFzJXFQZbdZ36im0gvZwEq5ek7UbKs5SpTxAdKAvXSG/ReUCO3ynUKFOfIAjiZoRaUMSO58hwFACgMOAn37DbcQQT2xPRjSk6er/z2Ijk+CzVZHE4WzJwcaGEQtVEcV97W5vtOgbjDje2hTGGpbzr/iKn/uYR8mT3io7BFmPxxnlZjowg3X+obf3kgXdg/+8+2nWB3BaGLWbq0yVtqxBFfdPiKNcbn0OhasJPPooEVFy464dw4C9OYOA9HwQgO9AylUZuc6wLgZi4fvT5xO/EVyiS20IU9cXOnKqQC0Kd8cQW8RYA/QAuc85f8Vn/T83/71nn87za/L9rnftpoLjnhzF/GYA3fkdw6isMWheifmukTKTi79TvMzKe+J3uSwSoTHbqK5aJ8uJ023bx0hzSuVLb8s3ixakcPvxvl/DpE3O+9yoEsZ0QR7P5dXzHPB3mnHeolk0QBEHcsJACQux4fvi+cfzY/RP4lW87gNvGqDDudsdb5AkAhqM6vuVAPyJBoeBq3YLdvDmtGTbOLZSQLBq4sFCGsvcuGFpY2of5yC+02fHF9hpl6m8emsogmuT93Pp9Ic3J+J0R3PoA8NqxH8RL7/0LaKHeo4elTH3quNkyNFVBVHCI5ZqivDeKp0VUV3ElXZGWieJuq1A2xe9sb/zq2HTj1I/oq8fvkFOf2CLuaf4/0WH9Cc92a6XVe72wzv0AAJjmGlZaufqdMvW98TvmKqJ+WHDq14MJZzpuZOVCuT049TWFSc5+ZpuwkjNt2yncAkte63q/62E6W8WnTswhVTbw3LUcPnl8bvUHEcR1RB7N5ufUd88xm8vbEwRBEDcH1IIidjwBVcGb9vdjX3949Y2J645fbvJ7bh+BqjTz2pvLOIBq0/07na46KTuWzTE2EMPiyJ3O47Wh3Sje9/3OvGm339SSU3/zYIwhJIixNZ9GhcKYM4rmtdt/CFwLgjMFzz/wQTz+rb+GocTazl/K1L9+SBE8TTHfWzS3RVRXMZ2tSs5IsfMnVzOhMHnUB7H98BX1u8jUl9yEgpAvfgfCGnXoEFvCvub/doVZXr6vw/puaeUBfnGd+wEAMM11yRtLU41lQqq+ua74naSzrDR6qzMdr2fAbPd87cmprzBpe8U2gYy/iK5lZ7fEYfzPp5cgvhWvzBYwk6tu+vMSxFopC9fLiM/9UVhXpNoaVCyXIAji5oNazwRBbClep/7eviDu391whimMIRRw15fqFip1C8uevNWhkI7JA+9w5uPf/yuwFNfFdmK+0Pa8lKm/uXSXq9/4jFKDRzH5G6/hzH95GS8+8PMAYxiOrC02y7TE+B0S9bcSsVhuvmKibtpSpI6Y9RoNqDBtjulsQ0DhnEvfk2LdRERXqcD5NicebC9OH+/Gqd9Fpj516BBbRGtIZ7nD+pJnu55hjP0sgHcByAL4vR4ed9rvD8BhJuTTtzL1xZ/LtYj6VSd+x3XqmyNuPF7ILEO1hPgdtXtRX2GNwrrOvG2CZf1F/bCRR6EqFOTlHGcWi3j0fBLnlzcmmsewbFxKtn/kJ2fb7xcJYruwmlNfYUyKtytSrj5BEMRNB4XXEgSxpXid+u+9Y1QS8qIBFZWmQ79cs5ApGfAS1VWcuuOHUdejGBuI49ve9TPAYiPao1AzcTFdxp2jMSnygZz6m4vYWVM1/J1CY7EggEYDesEMo6IG0NJPhqPdiwUislOfRMGtJB7SwFijVrXNgdmM63jUVYb+qI5iU+SPNs/FyXQFh4YiqFtcrHGNQt1a83eA2DpaxekzwoiMxLoy9YX4HZ9RXASxCYgDAldav7adM/Y2AH/e3P9PcM43JuNFEMgtp1Cuu1qM2FFZd5n6Lae+GL/DRl1RP2BVoEhO/e6bjYx5nPrchJr3TyIaZUUkCzUkwo3tn72axd+fdLf95bcdwMHB9Y3GvZqpOu/RnvoCjplzuNZ/O16Zy+N7bh9Z174JYrOQI+r8r7WxoOo49Evk1CcIgrjpIFGfIIgtZSDiNvKOjkRwbDQqrY8EVaDYEPLTJcPX9a2g0Vg8c+z7kYoF8FDd3SZdNcABzBarODLg7psy9TcXcYRFR6d+3HXjLxZrkiA/HO3dqW/ZXBpKT079rUVVGOIhDfmmwLuYcx2dfRENQU3orGuJ+qkKcESOaKqaFkybS8IvsX3pD+myqN+FUz/alVOfPn9iS2hZs6Md1reKuxR73TFj7G4A/wwgAOB/55x/oZfHc87v6LDf00zVbm/Nu059f+FeUdB9pj7nCFddUV8fP+BMB83ymjP1AbkTQLENqFV/1/2YWpKc+ic9oy1fnSusW9RvufTfevIvce+LHwMA3DpyCK/+9L8iWzHQH6ZOZWL7Ue6i7ozk1L8BRf2aaUNXGY3kJAiC6ADZogiC2FIe2tuHe3fFcWw0ih+7f5fUKAXkmIbqCtEM8eZ26YohRX6kmwU783VLco9r5NTfVERBrpOoPxZzhfulYh2psisWrMWl7RUqKFN/6xFz9bm0XJfOv9Z5fSVdbkbvuOdsodkIjQXIZ7AT6PPk6neTqd9J1Jcy9Sl+h9gappr/93RYv8ezXVcwxg4D+DcA/QB+nXP+0bUdXof9C059M9Uw/3e64qmMQRy41smpXzFsaFYVqu0K6sExt5RAwKxAE9ZZPYr6cvyOBbVWFNa59wODvIB8xb0fmMvVpP1Mb0Du/WS6jHAljXuO/5WzTF2exO3PfQSTPrE8BLEdEDu+Ix06vsUIvGLtxhL1X5rO4T//6wX8ypcv4InL6dUfQBAEcRNCLSiCILaUaEDFT79xD37hW/ZhMNIu5EaD/jet+4ZCkujTymA3LI5i1b2JbTlIA6qCgyNhMDQE/cEYubA2E7HTxbC4rzNwVBD1655t1uLUF/P0VQZy8VwHxFx97/KAKOprjWJu+ZqFVFkegeNE9JBTf0cgFstl6O5zEztr6xaHYdngnKMixO/4FVEniE3g1eb/+zusby0/1e0OGWO7AHwdwDiAP+ec/8baD68DQqFcM7MAbtvodMlTuszUrxgWgjXZFW/Edrn74RY0wxXieymU691ehwVWdZ/LGNrvTPfbBRSa927luoVsVc4Fn85U111Id7FQx32TXwKz5EjH4FN/g1yKxEJie1Lp2al/42TqLxXr+LtX5mHYHFXTxudOLeLsYs8DqAiCIG54qAVFEMS2QldZm6s+GlQxGNURF8Sk8aZAHNIUSRxOVxsNtqCmYCCq4w2H+nD/gQTCJBhuKgGVSfm+NZ9c/bCuIuHTaZMIqm0FlLuB8vSvP7GgCu9bH9YVBDUFQaEByhhzXGaT6Yok6heajdBYhw49YnvRH3KFuniwu+LGXuG/bFioW3J8Vqe8YILYYJ4BkANwmDF2n8/6H2j+/3I3O2OMDaDh0D8I4P8F8B834iDbnkd0ydsWrNxy20jHFooij1yzbPiK4hXDRrCed+YNJQAjPCBto1dyznSv8Tvi9jqTRf1KvzsiIG7mkW/eu83mZZc+AJQMC+nK2sVKw7KRLhu49fJX2tYxs47Y2W/AXmenAUFsBqsVygWAmFQo98Zx6n/9QlK6zweAJ69krtPREARBbF9IBSEIYlvBGGvk6gvsHQyBMYa4UJBxtOnsHhQEJos33BwAnDxv1eNYIzYHxpgk4nbM1Y8F25atxaUPAKYk6tNnfD1gjCHhiWNpufcVxqQ6B61c/Sspr6hPTv2dxIAwOqOvyxzqgKpAF36H02VTKpILUPwOsTVwzusAPtac/RhjzMnWZ4z9EoC7ATzNOX9JWP6/McbOMcZ+V9wXYywC4CsA7gTwWQA/zddrKe+EooCF3DIAZnoenW5tGvE78ko/s37ZsBAQnPpWKAHoEWkbveqK+r0UygUAW4jf0bkpi/p9bvpRzMg5Tv25vH/Uzuw6InhSJQOKWUVs6ayzLDnsli8InfqyUxuGILYLlu22aQAg0uEaKRoibpRCuTbnODXf7sp/faGIXNXweQRBEMTNC7WgCILYdogRPPGQiv6miBQXsptjugpdYRgQBMWaEMeyFuc3sT66ytWPtwv4axX1RQcPFcm9fniFXTFzXTwPo0KuvhS/03Lqk6i/I7hrPI6RqA6FAW87NLD6A5qMCPFb//DKPPJCbJqmMOg02obYOn4bwAsAHgZwkTH2GcbY8wD+GEAKwAc82w8DuBXAhGf57wB4EwALgAngbxhjn/D+bdRBa4Pu05upuY6Z+t74HcC/WG7Dqe8K7TzcBygKeMDtPNAqWWe61/gdLmyveUT9Yt9eZzpczzqZ+stFf8EuU1m7kLdYrGNX5jyY3fjN4YEI/mH4fc56/dxjmEtTrj6xvRAFfaCzUz8q1CO6UQrlXk1XnNfC4Mbz2Ry4uEznKkEQhAi1oAiC2HaM9wUQ1hWEdAWHRiPOEPOQrjgNVcYYhiM6BgVBsSLcAAdIINpyQl059f1E/bXVOxAz9UnUv370e3L1Ree+lKvf/H4sFepSxjM59XcWQU3Bh7/9MH7vu47izfv7u37cdx0bdqZn8zX8/Svzzjzl6RNbCee8CuDtAH4LQBnA9wI4AOCTAO7jnF/qcletXi0VwI8A+PEOfxuCKOpbmYWO8TutGjPiasvyE/UtKX5HjTVeDg/F3Odch1NfjN/xivr5hCvqByppFJqifaHm75jPrcNJv1Ss42DWdenXdt2FiTe/GzZrXHNYtYj8pa5LKBDEliDm6TPI99gioiGidIPE75xZLDnTR4YjuHsi7sxPpivX45AIgiC2LdSKIghi2xHSVdy7P4H79iekAoveCJ6RSECK3xELRJFTf+uRRP0ObqExX1F/bU79mtCJQ5n6149wQMVEfxCawrB/KCR9FmIkU6sDLhp0hR7Tth03WizYm2BEXD8UxnruhLlvdwJvPzzozE9l3TiNTmIFQWwWnPMK5/zDnPNbOOdBzvk45/z9nPNpn21/nXPOOOfv9yx/f3P5in8bdcxqwu0YswqpFQvlAo0YHmf7Tpn6YqHcSB8AgAddp74uOPV7ztRX3fszpVYA4+41Oxt343dUq45yodG5kBeK5Ipipbd4bi8sl+qYSL7uzC8M3IYffcftSA7e6izTJ1+gXH1iW1EWRP2QrnSsXyPG7xRukEK5VzOucH/raBSHhsLO/GSKnPoEQRAi1IoiCGJHIUbwHBmKIC4IgcmyOzybRP2tZ61O/ZE1OvWLQnwHubyvLweGw3jwYAK7BkLScvE8nIg36inEhc+qUKPP8Gbie+8cxcHBcNtyKpJLEKujJtxOMSu/gqjP3JpCzvae+B3DsmHavD1+B7Kor4rxO2qP8Tuauz0ryQUu0xE5ycjKJwEAecGpv7ffvZ6sx6mfLhtIpN3BF5dDh7B3MILFsXudZfqVF1G+QVzOxI1BN0VyAfneqWLYbef6ToNzjqmM2+l/YCCMQ8J9w0yu1hZNRBAEcTNDqhdBEDsK0akf1tzpumXj7LI7XDNIzu0tRxT16xb3bVgMRwNtxf2G1uDUNy0uNXhiIRIFrzd+URABzV0WC6hQmOy+LAgjOihT/8ZHUxh+8qHdbZ91mDphCWJVJKd+PgmlQ6p+6/ZHvA2yPdfjcvP6Gay58Tu85dQXMvVVw3XM8p4z9V3TBSul3WNRNBTVsBTzYxYaon+ro1czK7jr7Gexf+pJAEB2HcUxs2UDwdRVZz4d2wdFYQgee9hZpk2+iMI6RgMQxEZTEe6PViok7zVEiA7/nUiyZKAkvIZ9/SFMJIKOSYQDmM/XrtPREQRBbD+oFUUQxI4iFvIf/p32FFEjp/7WE/C853UfJ42qMCluJ6AyJIK9i7lFwc2nKoziO7Yp4nloWhx3jccQl4q6NT5Hha3caCVuHAbCOj7wht2SHEmfPUGsjhofcqatfLpHp768TSuvW8zUd5z6gtgu0mv8DsT4nbLr+DcDMZgcsEMJd9NaEZbNUWoKmQ+/+GcY//z/gfd+7edw4NoTyK7Dqa8Wk1CEPH82dhgAcNfb3uVuk57C3JWra34OgthoyoJxJbKCUz+kKZJZprTDi+WK0Xyj0QAiARUKYxiPu20HEvUJgiBcqBVFEMSOQlUYoj4icKZKov71RmFMKlhb9ynMB8i5+sPRQMdifyshRu/EQuqa9kFsPmKmvs2Bhw/0y/E7QpFc+gxvHo6NRvHdt40483v6QytsTRAEAKh9slO/009mS8xXlM6Z+hXHqb9y/I5Iz/E7HbY3AjEEVAU85Ba/DBklp0iualZx7+ufdta988kPo2pYa4rcqBoWhgtTzrwZ7se+/bsBAAeOHkU5vss9rvPP9bx/gtgsxEK5K3V8M0+Nm50u6s/mXFF/rxDp2IpwBEjUJwiCECHViyCIHYdf1Era4+IiUf/6ILr1/Zz6gJyrP7zmPH33846vwelPbA2awiQH2f7+MBKhdqc+5enffHzHrUP4wBt24X33jOGRo8OrP4AgbnJkp36qY0do6zdXKpRre0X9llO/XdRHB1Gfs96c+kzrIOrrUUQCKizBqR+2S06e/sGpb0rbRyspTCyeQK7SewRPtmpirDTjzBcTe7F/2H19C2P3uMdw7SWY3iENBHGd6DZTH8ANJerPF1zBflfCFfInhGlxG4IgiJsdUr0IgthxxH0ieLxt24BKrt/rQbALUf/BvQkneuPBPX09PwfnHMWa6NTvMRKA2DIYY20dPSEh6Lnl1I8F6DO82WCM4cE9fXjroUFo3kIbBEG0ITn1CynfRhxjbn2TlQrlOk59KX6nIbLzoH/8jq32Gr/jv31djyKsKzCDrlM/bJWdYrj7p55qe8xo8qxURLdbshUTA3nXqb8U2oM9QtHNwt4HnWntyovSKECCuJ6I2fiRVSLqbiRRfyFfd6bFyB3JqU+iPkEQhAOJ+gRB7DjiHqc+Y8Ajtw5Ky1bKnyQ2D7EwaidRf19/GL/17lvwoXcewgN7Er7brETNtGEI0T5UJHd7I3b05CqmIzjZ3M1PJqc+QRDEynid+o2SkZ5tBIeDXCjXna7ULVRqFkYiuhy/0yyUW1Vd0VukU5xOJ5ge8F1e12OI6CrMgNt50IcKkqWGmNdfmG57zEB2EqVa72Jlpmwglnf3d00ZxW5B1B+65y3OtDr7OpLZAghiO9CLUz92g4j6hmVjueSK+qKQLzr1sxUT1R1eEJggCGKjIFGfIIgdR1BTpOz2aEDFneNxvHFvo0F6+1gUA5G1xboQ60N2Zftn6gPAQETHuHCD3guiky6oK9BVupRtZ8Rc/bwQk1WqW44kFaMIJYIgiBURnfqwLbBKvm0bRbgcqj6Z+vmKiZNTBaic4d2HhxE2XBHbbsbvVLSI7/P3WiiXaZ1E/QjCuoq6IOonUEGm1IjXSeRn2h4zkL2CeSFru1tyVRN6ds6ZX9RGENTc6809b3oYlta4F2FmHcuvv9TzcxDEZiBn6t8c8TuLxbpzX6gpDMNR9zekP6xJo/pS5d7juAiCIG5ESAkhCGLHwRiTIniiwUaRzR99YAL/7TuP4OfevPc6Ht3NjSjq19ZQ1E7Etjls3t4xIBXJJTF42yN+Jyp19ztREBqe5NQnCIJYGSXaL6n2vJhq20Zy6vtk6icLrgsWnCPgUyi3tkFOfej+Hfd1LYKwrqAWcON3oryMQt2EYtURKy22PWYwM4mpTKW350fjPkTJzjrzZt8uaf1QIoL06J3OvHb1OLjPfQdBbDXlLgvlAkBUiDDcyaL+ghCrMxoLSB2TCmMYFAxbydLmiPqWzfHM1Qw+/9oiXp7ObcpzEARBbCQUYksQxI5kvC+AdMkAAzCaaDg5FMbQR/nq15VuCuV2Q7lu4fRsEbbNcfvumNSJUxRydf3qKxDbi6Dmn5duCcJJIkifI0EQxEowRYEaG4SVTzYWFFOAR6RWRBHMJ1NfrEeDehnMdq+nPNIPhQGm1mEUXYfCtx2Pt0P8jqGFEdFV1HS3YG3UKuNa1UK8OA/mEysUrSRRSKUA7O/pGGCaULLzzmxwfJ98jIxhafQejMwdb6yfOo6aaSNEEY7EdUaM31ktUvRGceovF12hfjTW/vsxHNWxVGx0TKbK9bb1G8EXTy/hG5fSzrwN4KG9vdf/IgiC2CrIqU8QxI6kL6LjgQMJPHAwQYVStxFigWLD8nfad8NSvg7T4rA5cC3puvPstiK51PDe7oiZ+iK3DEegMmAgrOG+3XHfbQiCIAgXJS7UDypm2tcLfahiMp3VHPlWFq6frCK7UHkogYCmwO4k6veaqd9hP6YWQlhXUNHd+J2QWULJsHDIXHKPuX8XbKFoL1u81NPzA0CwnJY6Lvp2H2g/nkMPONPa1ZdRqPRekJcgNppKT079G0PUTwp5+iPRdlF/aJOd+guFGh6/nJaWfeG1RVTXOfKYIAhiMyFRnyCIHUtAozz17UbAI+AaK+Tqr0RVaJQUqhYK1UYju1yz0OonYKDYlp2A9zvRYv9gCH/8nlvxa99+GP1hqoFBEASxGmqs350pt0dDiHEV4rTNGwVyxSuyIoj6XA8DerDxex3wj9/pVdRHB1HfUoMI66ok6gfNEiqGjd31BfeYh/bDHnTjFJXcAnolmndd+lU9htGRobZtdj/wVmdaTU9j9urVnp+HIDaaXgrlivfCxTUUlN4uiEVyh6Ltvzdixn5qE0T9xy+nYXuaLfmahVNzG1dA+0q6gk8dn8PfnZjDtTVEihEEQXghNYwgCILYMFSFSYWs1hrB43XFzGcbOZtiYyUSVKV4AWJ7EuzgMAvpKnSVOuYIgiC6RYm4MRDcr1DuCpn6JY/Yx4ROgVaefkBlQCDk+9ysV6e+7r+91XTql1W3IK9eL6BmWugvuSK8PbgPdv+EMx8stmftr4Rh2QgX3Y6AVGAEo33tr+3wkVtQibvPUzn3Yk/PQxBrgXOO88slvDCVhWHJ97yWzaX74EhPTv2NGWlyJV3BX78wg48+PYX5fG31B2wAovt+Vaf+Bsfv2Jzj1Q7i/enF4oY8R7Fm4i+encLzUzk8ey2Hv3hmekePrCAIYntALWmCIAhiQwkIGep1q3dRn3OOqiE/LlU0UDNsFKtinj659HcCCmPQ1fbOl9AqjVSCIAhCRokK2c7ldlFf7CNVPZn6Nc/IOTF+h0cSAJojqzqI+krAPyO/E0z33w/XwwjrKkqa69RXawWYNhAuu8V/7b5x8L5xZz5adqN5OOdIFetIFesdC9sWq5ZUJHdRGcJYon30wGgsgKWxu5350NTxNUcHEkQ3cM7xqePz+MjTU/jb4/P4wutL0nqvsaUXp36pbq272PNsroo/f/oaTs4VcG65hL98blqKA9oM6paNnHCPP7yaU79sbGhR68lUBYVmx6fCgB+5z/3tObtY2pDfhK9fTEkjMEqGha+dS657vwRB3NxQi5ogCILYUNZbLLducfjdO8/naihWxTx9qqWwU/Dm6usqkwQngiAIYnXUaMKZ5j7xO6JT31soV7weF2qmJOrbLae+pkDpIOrrgQ5Z+x1QOmzPAxFEdAVFwanPqgUMhnWoJTfPmseGYPe5DvpYZRmcc3DOcWmxjAsLjb/z8yUpsq9FtmxAyc4580vqIMZ8nPoKY1gau8d9ndeOS7UHCGKjOTVfxAvT7vn37NUsijVX0PYK6KuZIERR3+JAbZ0Z8I9eSMGw3BvxVNnA1y+kVnjE+hHjdBQGDPjEMopOfcPiyG/geXp2yXXjHxmO4P7dCadGScmwMJOtrmv/ls3xzNVs2/Jnr2VhejN/CIIgeoBEfYIgCGJDEUV9rzOwG2qGf2NkKVeTHC6xIDn1dwreXH1y6RMEQXRP3WrEcUhO/YqPqC9l6rvLbQ6cvOYKSvPFmn/8jsagdsjU13p06qu6v6ivBENtmfqsWsBoNABWdF2rZmQIdsJ1yyYqSSQLdSQLBpLFpgBo2yg+90X8yu9+Ap9+5pr0PIWqBSXvOqBT2iCGYv6vQbnlDc60NvUK0nnKuiY2D2/Mi2FzPD/lno9lQdQPaYrUWeeHt77UeiJdclUDJ2bbRwGdmM1vqDPei1gkdyii+xo/IgFViiJKlTYugudyyj3nj41EEdZV7O13OwGvrVPUn85WpTZMi6pp43KqvK59EwRxc0OtaoIgCGJDCa7TqV8VGjPhgOIIE4JpCJrCSBjeQXhz9Tvl7BMEQRDtpMp1nJovSJn6tl/8jqCDeUUxJgiDS6U6eNkV+d1MfQVKqIOo30Gk74Sqa+BKe+e7GoycCCF3AAAgAElEQVQgrCuoBwRR37YwpptQiq4bOMViUqZ+tLyImWwFyaIr5EU+80uI/48fwwdf+Fn8f3/793jlWsZZVzUsKDk3h78eG4XWoYbLwfvfDFtpjP5j9TIWz5zs6bUSRLdYNsfrC+0Z7ReWS850VSqSu/r9kqowhIR77/WI+mcWS23FYgFguWRgobCxOfbe/bcY9snTbzEkrEuWN6ZYrmVzqWjtoaHGKKJ9gqg/lVmfqC9+voeHwrhjLOrM+30fCIIguoVa1QRBEMSGImXqr0nUdx8TDagY9cnAjYVUSaAgtjfe+J3QKvmwBEEQhMzL0zmoglPfN35HcurL18iJflesLxkWjGK7qB/SFWjBDXLqMwao7Y9RQxGEdRX1QFxaPsQqklM/oyRgi5n6pWUs5KrIlRsxJdq5xxF69m8BAIxb+LnMJ/HM+WUADZHOsgFWcEV9lhjreKzH9owgM3zMmVeuvNRWvJQgNoKpbBUln3z62ZxbjFZ06ke6vF/y5uqvlXNLrvj8loP9klt9M8Vn0anvVyS3hRjBI0b2rIeZXBX1pnNIZcC+gcZr3if8Zk5n1zd653zSdeMfHYniznG3U1N8zwmC6B3OOcp1q+No/xsdEvUJgiCIDUXO1O99qK4o6gd1BRN9PqI+Re/sKMSOHoDidwiCIHrl7FJJFsJ9nfpCpj5jHeMyKqaNesF1tfNwH0K6Al1ToHVw6gdCvYn6msLAtfbH6OEoVIVBDQRhC6K/UkxDESKF8pos6ofqeVSLJbReUaAp6LfYV7iApZcfBwAnE1+M39EGO4v6AxEdsyNusVx98gWkixsjGG4GmZKB07NFTKUqsCiPe0chOsIHBYE6WzWdXH0xpqXb+yXxvnitoj7nHOcFR/mxkajkKL+S3rxYqmVB1Pcrkuu3LrlB8TuTwuva2x9CoDmiZ/+A26Exm6+tuaOPc45pwel/ZDiCo8Pu+zqfr7UVRyaI7UaqWMfJqTzOzBZhbqNOb9PiODNXwqtTBbwylUd6gzr7dhLUqiYIgiA2FG+h3F4zOKtSY0ZFUFcwFJNv8KlI7s6izamv0e0HQRBEL9gcuFp1r4XcR9RXPD+tnUSoimHBKAqifqQP8eZ1tZNTXw/2GL/TQdTXQo1oi7Cuwgq5nRRK8qp8jMEB8PgouNBRoRVdkZ5dOdG+72snYNscxZoFmHUoQuHd0PCuFY+3ckDI1b/8HBZytU3NEF8rddPGhYUS8hUTs5kanruU2ZbHSfgzLWSz3zUeQ1Rw4s/lG259UdRfi1O/uEZRf7FYR6HZIcbQcJSLbvWpdbrVVyLZbfxOxF2X2qD4nUkh074VvQMA4/EgtOaIJ5tjzfFD+Zopjc7YnQhiNB5w7oU55O8FQWw3UsU6LiyUUanbyFVMTKe3z/d1KlVBvtLoEOUcuLRYXlNSwE6GWtUEQRDEhhIQMms5Gj3ovVDzcShN9MtiQixETv2dhDdDPxSg2w+CIIhemay4or7tE7/jjdxpOdZFKnUTFpfje3g4gXjzuqoFI22PAQA90JuorylMcuI7+wk3YieCmgIj6Ir6anLSma6xIKxAGFA18OiQszxaa3REsGIKwex0274PVi5hcrmIUs0CKyxL66KjK4v64w+83T2WzAyqC1MoVNceY7JZzKSrsOtVBF7+J4Qe/TPoSxfxxRNz1/uwiC4Rxdu9/SHsEkajzjqivlAot0un/kbE74i58WPxAKIBVXKrZyom8lVzTfteCZtzqejtSKw7p/5GiPqcc0wKRXIPD7qdGKrCMB53f8Pm8msTMludNQCQCKqIBTUojMmFeDNUnJvYvsxna9L8Yq6+LaJuTMvGsqezzbI5FvObV/9jO0KtaoIgCGJDURVA1BVqnt5yy+a4tFjCuflS2zrTsmEKQ8lbjZl4SMN4XwAKA3YPBKF3KHZHbE90VcF4X6NhNNYXoM+PIAhiDVyurizqK55aM9lye8M2V2kIYcGa6/SvB+IYbopXnRz5wZ6d+gD3E/UjjU6DkKbAEIrlik79rJqAripgDLDjI87yeK3hvNem/QvZHipfwuRSCaWaBSXv5umXtRgG+hMrHu+9d92KXHyvM69NPo+FXG2FR2w9nHMkiwbi/8//itgn/z0iX/pNJP7su3H1ygxKtY0XW4mNpW7ZmC+436l9/SHsEupGLRY2xqm/ZlFf6HDY33To94d19AmjYzuJz5bNsZCrYSnf+wiXTKXR0dhiONLZqS9FFlWMdcdPZSomskJHxcEhuVNzV8IV3kVxXqRiWLBXeM3zwuPE/R0YcDsQSNQntiuGabd1cHNgW8TcJIuGb2HvZKF+U41go1Y1QRAEsaEwxqS4lbrHqX8tWcFywUCmZGDWM3xPjN5RGKCrrkBxcCSChw71Yd+QfzQAsb1pfX6HRvxdoARBEIQ/DI1rYVl1c5jtUg51oylGcY7AC/+Amc/9MYzFawCAmmEhVWwX9VtO22DN7RSYqQUcl7+uqbC0dgE/EAy1LVsJVWGw1XbHbSDceA0hXUFdEPXV5BX3GNUE+sI6IgEVXBD11WYhXXXKFfWN0Vuc6eHSNBbml1CpW1Kefi4wiKHYyjUBRqIBzI7f58xrl59DumjA2EbD+Mt1G7hyHPq5x51lSimNb7n0t3j8zNIKjyS2EsvmvoLzbK7mCFC6yjAeD0oidabSytR3BbTwVjr1hXidvYJDf1+/nC3vpW7aeHW6gCvLFVxeavz1IqiJ2fh9IU2K8fQyGBY6NjmQW+fIgcm0G70zFJE7MABInS5eUX8yVcavP3oJv/zlC/j9x6+g3OF9Fx83IexPdOrPbrMORIJokekwIia7QfFX6yFbds//QWEUT9WwUfIZqXijQqI+QRAEseF4c/VblGuWNCSulYHXouqJ3mEe16F3nthZeKMhCIIgiNUJNouNS4VyOUe9XAAABF76LGKf/iACn/mvuPJTt6L82pOYy1ZRbrq3Q//zI4h/7Pugn/66U4wzVHVFfS3hRtwEVAZTbRfwA6Fe43cUX6d+INIQ9cOagpouZOovu6J+TutDIqwhGlRhx4ad5azQEPXt+UvOsuSRR2AL2fzWzBlwQHLqZ7SBVUV9xhgyu+VcfQ4gtQ3ciC0KFROhp/6mbXn8uU/i+XPz1+GICC/JUh2/9ugl/OrXLuE/f+WCVHhWjN7ZkwhBVZgs6jdFMtGpH94ip77NuXR8+wXBWRSiFwrt4vN0uipFcSwX6siUuhfbk8XuiuQCjfZFTHit6XUKi2Lx30M+piFJ1BeEd5tzfPrEPJabvw8zuRr+7ULS9znELP6JhPs7JO57uVTvqhBvxbDwpTNL+PypRZxbKq26/c2OzTkev5zGP56c3xHvV9WwcHGxhNdnCphOV7eF21x06Ysdjov5Omrm9RPOOeeSjjCaCDgxgoAs+N/okKhPEARBbDgBzRVvRVH/WkoeXloxbOkmVhT1g102ZAiCIAjiRqZVq6YmONsBN4In+NynnWXcrCPzz3+O+WwFpZoJbfJ5RL7469DPfxOxv/phxM98DYptIGgUnccE+1xRX1cVGB4xnjOGUGBlsa39mBlsT6FcDoZguDFaK6ipqOruyAM1dc2ZzqsJJMI6okEVPOE69ZVmTr4tRPUshsZhjxx25iP5GQAAK7jO9Yaov3qnROzOb3GmtflzYKU0UsXtI+rnynXor32tbTmrlxGeOg57jVEkx2fy+NgzU3jicnpbiEg7Fcvm+PhLs4Lj3sYnXpp1RPZp0QnfFM0HwqJTvyXq9+7UjwVch3lxDVFMyZLhjKxlAHb3uaK+mCu/4HGrmzZH0qeA7JKP+N+J5S6L5LYY2sBcfVHUPzjoI+oLNQ+yVdNx45+YzWPRMxLqicsZFHzee3EkwqjQuTgaC6A1INnmwJLPyCoRy+b4q+dn8LXzKTx2OY2PPjOF04vFFR9zs/Mvp5fxT6cW8dSVLD76zBSeuZJZ/UHXkctLFSQLBgpVCzPp6ra4/oiO93Mpt2MkqCl49mp7DOBWUapZ0mioRFhDvxjPtQ1GEmwVJOoTBEEQG46fUz9bMnx7zYuCA8Dr1CcIgiCIm52WqG+rARiaK7bZpRxYdg7a5Wel7UsvfQWL80so1UwEXvyMs5xxG0ef/wiCtYK0fXjAdcPrKoPlcerbir5iJEanY7YUuSPA1EIINV22IV1BSYgTEikoMUfUt2OuqN8qfqulp5xlqdA47KF9zvwuoyHmi/E7KaUfQ/HVxcKH3vQGlMNuB4c2+QLyFbMrB+1GwDlfUVSvTJ+HUm6IUhwMhT33O+vuyL+CK8nenahPXE7j4y/N4uxSCZ87tYgvn11e/UGEL6/OF3AtI8dK5msWvn4hBUDOrG+J+oMRV4wvGzaqhoWK2btTPx50tyusIXZCLAI7HNWlGM3xuODUL9al/Ph0se6baZ0tmTC7PG9E0XtkFac+IEfwrMepb1g2ZoTPxE/U7w9pUsdKK0rnuWvtYqZpc2lkBtCoKyZ+HmK9AFVhGBPe2/kOmf0tvjmZwcVkWVr2jycXUN+i36edxrVMBV+/mJKWffHMMqrbKFJNpFSz2kawz1xntz7nXIqVWijWkRc6rl6bK/heHy2bYzFXa3s9G4k4giAWVKEqDH3C72mxaq275sZqWDbHleUyjl/N4cxsUTIybiWkmBAEQRAbjtj4r5mNRurVlH8RqKKQh1kT3Ekk6hMEQRAEoKkMWjO+rK4Lbv1qHvrZb4B5Gv3cqME68a+olCsInPhnaV1/6gLixTln3oSKaF+/M68rDKbHYW9i5ZxrPwKaAtvj+DfVEIJaU9TXlLaRBy0KakPUjwTk+B2lmATMOsKFBWeZNbAPtQFX1O8rN16bknPjd1JqP/pXKL7Z4sBQFDOj9zrz2uXnG8dT3fyIgcV8DS9M5nC6gzBgcw7r/PPOfGboCGZuecSZ37f4Ik5NZXt6zrpp40tnZBH/386nOmYod8vFZBmfOj6HF6dyN5Xz/7lr/u//c9eyKNctKVt9XzOzPh7UIJSPQqZirsmpHw8KYlbd6vl9n+tQzBUAxgR3uWFx6fuR88RfaM0Xw9F9/IUo6nfj1Bcji9Yj6k9lq06BXl1l2J1ojx1jjHly9auNiBRBvBePxyu6p4Ri5ZrC0BeWM/snRFF/hdENnHM87eMyT5cNvDpX8HkE8eRk+/tVqlsdz9NeMSwbk0tlvDZTwJXl8orFkrthyadTp2LYkvltq6kYNlovy+Yc2aqBiBB/FVCVto4sw7Lx2kwBk8sVnJ4t4lpyc4pAi8XhL6bK+P3Hr+CV2YIT9coh/z5tNJxzXFgoYSFXR93kyFVMvD5bhLnJHQl+kGJCEARBbDhep/5Svo5K3W2kisVsxMay6J4gUZ8gCIIggNl0GVGtFcEj5NBX81AXL/o+Jnz5GcSXTkOpyI5SBo69s8858wU1jpjgfA2oCixVjqoxmLoGp357ody6GkSweW0Pa3KhXJGCGkcirEFVGHjfqLNcKSwhkJsFQ6PRzMEQ330Aufhud5tUw8XPhEz9ani465oui+Ou+12/3HifCpsoDACNHOUryxVw3rgnOjNXbBOIqnUb2tUXnfnZ0XtxedytARBZOI3Xr/hnenfi5HyhzbXKAbw8k+/9RTQ5MZvHR56+huencvjk8Tn848mF1R90A5CtGDi76IpbP/3G3dCb37li3cIXXl9yHO1BTXHEXIUx9HsieMT75cganPqmzXt2I8uivnz+h3QV/YIYLWbEi07cvrCGfsEpW+iiiC3nvOf4HUnUr6xd1Bejd/b3hzv+RniL5Z5bLjmdARFdwbuPuqN7LnlFfeG1DYZ1KJ7aYGLG/ny+c/zO1UxVivs5Ohxxpo+v43y9UakaFo7Puu+LeH68Nr8xnSBXlitYzNdRrFpYyNUxl1lfseNOAnR2k68/K1EWRpnkayY0VcGefvd86AtqeGVWfj+vJavSb9hctobcJkThFIVjm8xUMJWt4jOnFlARcv4343lbpIrtCQQ1w8bidSh6TYoJQRAEseEEPZn602l3eOtIXMd4n3sTW6yZ4JzDtjnqptuIJVGfIAiCIIBK3Uat2micikK4UslDXbrszCcHjjjTQ/MnMJx83Xd/+6efcaYLagzxkCvE6SqD6RH1LaZBU3uP37E9+6kpQadeTlDv7NQvNp36ABAeHnOWs0IS5uKku110DLuGEqgO7HGWKc1sfltw6vOE2zGwGvzwm51pdeokUC+vKk6u140+k65B3EWlbiPnEQtKdQva9KvO/PzwXZiKHQJvdpwwq47y1Jmenvelaf885Jdm1paTbFg2PnNyQYpjefpqFlPZzXFqipTrFh67lMY/nJzH2aWtzxl/baGI1ssejOi4eyKO+3cnnPXPCu7gW4ZkAdnrPBdFqVCXnWmRgApRLu41gkcsAivmyLcQ3frLTWd9zbCl+/ZEWJN+S7oZ4VKqW1IHxGqFcoGNc+p78/RnM1WcmS3i4kJJihQRRy7M5Wt4fcH9ft0+FsOtI26M2EKhLtU0SAqi/pDPaxuNycVyOyG68Y8MR/DIrW5HwpnFojS6g2iMmDCaPS9hXcH7H3Q7fi+nKuuOSSlWzba8+9lMdc1RbabFJSF8OO5+VzZTmF4NsWh3rmrirvEYYsI53hfU8Op8wYm5sWyOlE9tiLnsxgrdli28X/UKdj31MTz84p9iOHkWr8y7nTmbWSx3oYN4P5+trXvURq+QYkIQBEFsOKKjz+ZwbqwUBuwdCks3BJbduGnwuop6dQUSBEEQxI3KTHOIe11w6rNqAeqyK+qfufX7nOmB0gyOLjzlu6898y850wU1jpgQ3aGpCkytXdTvFV1lgCfGp6YEnQ77kKZKr0WkpMWdIf7RkXFnuVJKozB9wZnPxHZjvC8EjB10t8nMgpt1qEKhXNbv7mM1brn/jajrDRcss01oUydRrFq+jfRUsY4XJrN4/nIOZ+eKaxL3Oee+Bf28y5bzFWlURmD3HTCVAIyxo86ywdSFro/BsjkuC7GI77vHfY9mczXfgp+rcWI2j2K9XVx8/NLmFqe0bI6PPTuFz7+2iKevZPEXz0zjxOzWupdPCe7feybiUBjDWw72+257dESuJSG64Jc8GfVi1MVKKIwhJriReymWa1i2JCjvireL+qKDvuU+Fzu7QrqCgKZIor63kKUfoks/rCuIdfF6RVE/UzZW/M4blo0zc0Wcmi4gIzwX51wS9ffEg5hKVZGrmEgWDUwuuetEp/50topT866of9d4DMNRHVHhuOfyNeeYkmUxWshP1Bc6Szz1CkTEiJN7JuI4Ohx1ntPi7SMEbnbEGKRbR6I4Mhxx6kSYNsel1Prer0WfURU2B9JrLGwrnq+qwjAudKxtRTZ8J6pCZ1G+buFOPQP76/83tAuNe4tEUEPVsHEt0zhfsmXDv8ZG2UTF59qwVpwRBEYN0b/6ETzw3J/gwZP/A+/7wg9BO+UWk68a9oY+b4tK3ZI6LY9NRJ1OVcPiPdUSuJgsO8XU1wopJgRBEMSGoykMfoNYd/UHEdQUqApDJOBegopVEzXBDRDUlLYhqgRBEARxs3L6WkMYFd3tajkDJXnVmZ/e/SbkY7uc+Vszx53p+p3f4bvfghJDVBDiAipri9+xlN5FfYX5iPosKGXqS/UBBOxIP1jzHiAyJAvy/NpJZzoTGsNoIoTI+EHw5l0H4zYWzp+EZrojBLXBia6P+w2HRzA/cJszr06dBEcj/kY6Rs4bMTnNxdmyicVCZ6dtJ6qG7RgfRLwOw+zUZTCj8Zo4GA7deTcGwhqKY3c42+yvXO566P9Mropa00yhMuBN+/vQJ3wPLq9B9Hr2quvwFwutvjKb39QCgk9eyUgFajmATx2f60nY7palYh1X0xVJfK0aFi4su+/X3RON7/XBwXBblA0AHBuVRf2E0Km26HG5duvUB+Rc/V6c+gsFtyNBUxhGYu0ROMOCkN4Sqks1uVAlAEQCilQjoLjKcSwVxSK5Aee8XwmxUK5h8xVf65XlCnJlE6WahXPzJUfYT5UN5JqdEgwAPF/PdMlwHNL7+kNuTROLOwKcwoDbxmJgjGG8WYg7oDIkc3U8fzmHc/NF5IR4oCGfuh7ie23Y3DdqpVy3MC0U9D06EoGqMNwy5EbwrFekFslVDXz+1CI+9swUTm5x59hGIb4ftww13i8xsmg9nSCcc6mDSPy+r9UZLubmx0MqYkEVrcE8HMDF5RI+8vQ1/M43Jrc0bkk8rujpryLxoQeR/ev/gMRH34vQV/8AqsIQC6g43/z9y5Tc1z8c1xEW2vrJNXZ4+NEq3ht68q8RvPBNZ7nKTTz8+IeQT7u1Ytba0bIS4j7DAQX9ETl6rNvvwdfOJ/FnT12Tig+vBRL1CYIgiA2HMdbmtNdVhl0D7hDWmGeIbtWgPH2CIAiC8KNUNRHTFcndHlo8B2a6oliubx9mJx70fXz9we/3XV7WE9CFaB2FMVgb4NQH0Cbq15Vgw8GPhiu3U/wOogPuZCKBuhZ25sNzbqRQOjiC4XgAfYkoymE3jqJw3s2et5iK6NBI14ccC2mY6z/mvoRm5E3Z46R7fa4ATZHvVV6d6T2rOV8VHZru8qphO6I7APDZc850Mb4beyeGcXAwjPSIe6y7CxdxcbG7YxBd+vsGwgioCg4Nue/zZKq3yJxy3cJk2hXKfv7Nex1h37A5Lm6g6Chic45vXEy1La9bHI9fTm/ocz05mcZvfv0y/vCbV/G7j13BclOQPrNUcoojRnQFh5tiK2MM33vHqGRyuWcijj19ckHWREjMq3c7ZXSFSefmaogu9146NOaFPP2xeMA3W37Ix6kvivqRpqjPGHOmATmT249lUdT36UzwIxJQpQLCqQ7xJIVKe0RKKwbk/JLrfL99JOrbsbbUdGMHNAUHB8Nt6w8NRhy3/HhzdMNDu/rQsjVlSibGI+5nPeApkls1LNQNW+pMW/KJLrmwVML+vhBUxhANqJhodhTdIojUlzeoGGmhZuIPHr+Kxy6ncXaphL9+cRb/dr63Wh3Xm6ohd4K03ifxM5zOVdse1y3luiV9Xw6MuPvNVVYeOdIJbwcZYwxR4Tx69HwK55fLmMvX8PGXZvF8l8V+TYuvKwqm1TZn5Szu/up/AYT7jchXfg/axacRD2jOSBKxeG1/WMdI3D2nk4X6hhVOr9RtwKwj9MRftq2LVlKwnvi4+7zFjXveFmLn21Cs0RnZL3R8+o2+8zKdrbYVql8rpJoQBEEQm0JAkxsF+4ZCUkMhHhIaH1VTGuJHoj5BEARByMRUJgnhwRk3Y93un4CphTEnFHptYcRGoNz37b77rAUSbcssTRYd1+LUB4CapzOgroYcJ25QUzrG7yixQWc6pCmoCIL9SOqsM10IjUBTFfSHNBRjbvZ+37z7vhQCAxhKtAtyK5Ebu9OZ1qYaIwO8ov7VVEMUYtk5aJMvALUiopoqiZTdUKi4+x2OBZxODwCoCEJPYPG8M70Q3Y99QxEcHIxgqd+to9CXu4JLC93lyU8KIvvhpph/WHD+9urUP79cctzesYCKQ0NhyRkrFpHdSK6mK8hUXMf12w65HUJPTWYdsX29XEqW8ZlXF53c/Ll8DX/z4gwMy5aid+4Yj0n3uneMx/CD94xBUxgODYbxo/e3jxoRRf2kJ46mFySnfg9xDisVyW0hRsckm5E34jkhCpDitPe88SLG/ox2USS3hejW75Srny61L89XTNRNG+eEOBvR8S6SKRmOIOodXQEAD+51fzvH40EMhDQc6Jd/a4bCOvqan0urIDLnHJPLZbxyrYDTs0W8cXefs/1SUR5pk6+YKFcsvGXfAL7rlmHcNhJ1RjLfMuw+17Xs+nPiAeCzry4g66kh8q9nl307G7YrV9IV57corCvY3Yyy2dvvXtemMtU1C72iCzseUhuibnPesmWBvlvEmgjhVvSccB4NhOTopi+dWV41v38xV8PLV3N4aTKHuTW8XlPouAg9/t8RqLR3koa/9keIB1VcSVdQMy25yHdQxbDQUVc17FVH7nRLoWZCf/1rULLzjQWqjsQjP+GsHzn+92gNoyvX7Z7icFbDtrkUPdbX7Kzrj7q/v5W6ver5+FyXHTPdQKoJQRAEsSmIQ6+jQVXqrQdkp365bks3QSTqEwRBEIRMOl2GFXKF8GjmqjOdCjViavyc+pcm3oyPnymhEBhoW2eE+tqW2R6nvr1Gp366Ll/L80FXnA9pCioh/8xxPeGK+qrCJFFfpBxtCPn9YR2FqCuWDi2ddp8zMCC5jLshfMt9zrSyfAmoFiRxslAzEdNVhL/8Oxj40J1I/Ol3IvEn3wnVrODVHuMqxP3GQqqUod5aVzYsBJbcWgKzoX2IBDUcHAxjIbrPWa4Xl3F1eqGr550RnKoHBhri4CHByTqbq/WU43xGEO1vG2sIj7ePuR1Q55Y2R9QXs/OPjETwPbeNQG+K6iXDwtnFjSma+9ildkFrOlfDV84lpcKpd0+0d1S97dAg/vy9x/Cf3nbANyNfdGqLhPXu8vRbiJn6vdREmMu734VOov6Q4EKtmTYyFUNyK4uvS5xeTeCU4ndiqxfJbdFNsdxObtlUse7EhQBAIuC+//uHQk7sicXhFKxu1Elw9xELqHjjPve3cyIewP4+/87DI4ONToNW7YRMycRiTujMiAQw3vyNWhJGFlg2x8WFktMR2hfScHjAfY49fSEEmp2ANpc7Z9bCXL6KE7PtI30sDnzl3MY4ircCMU//8FDE6QQRRf1i3XLil3pFFHQTYa0RKRvs/jvvhXMuxbv5ifpiJxYAZKsmXl4hhidXNjC5XAHnje/GtVS15/gbx2zHOQIvfc49vru/zZnWLzyJ0dwkTJtjMllxOj0ZGrE0QV1BQjDxJdcQUedHsWohcPJLzvwzfW/Bj82/HZw17jkS+WnkTz3mrL+abHR6bYRjv1A1ncL2CmtctwEgpKuSobG4wvfLtDlennY/PwT+ivMAACAASURBVLFDdi2QakIQBEFsCiPxhnNBYcDBkXBbTmZYVyQ3k1hwhkR9giAIgpA5N5fHA0f3+K67UGk4SbN9B1DyiOBTex6GzYHCwIG2x9Uj7YK5N1PfZL2Ji+5+ZDE9Hxx2pkO6iqqPqF9WwohF5ZEClchg23YAUI83OjL6QhqKMTd7fzTtRtWk9WEMxXsT9W+/+x7Umnn/jHNoM6+hLIgupxeKiGavIfTonzrLtLnTCH/1DzHrybRvxcP85tcv42+Pz0lCEue8rYjfXNaN0WiJ+jOZKtTlK87ybKwh5E8kglgMDIMHXKdxfdYtptuJqmlLjvDdzTiYiUTQLfZn855GHYgZ1bc1Xc23jrjHNV+oreraXgtnhc6C+3cnEAmouHPC7Ux4aXr9+dPZiiG58UUR/tELKVSaERUBleF2H0f3aiQ6CDphXcG1ZAWnZ4tdOW1FYSjfg2A524VTPxpQpXz/pYL7/dFVOXJTFDgrdavjcXPOJaf+SA+db0MRHd+6rx/fdcswbIu3dUDVTVs6Z/uE6Jv5XN3JxQ+qDOLh9Ud0KUajlZ0+kQjixx/c9f+z995hktT19v+rqjqn6cl5d3Y2J5YlLixpySAgCCoGQBQVE4piJKiAIIqKgiKSo4DAksMSFjazOYfZybOTZ3qmc676/VE9FaZnSd779d7f7fM88zxdn66uqq6uMHXe532O1j1x3txybAZrpEqPjckGWyXjc8xY8PDYcdM7mm/9MqdcPWaNSv3RWJrUOFsgqyCSzimARUHQrHgAuj+CpYysKHQHEuzqjrCnJ0K/oXj3boseaF1XZOeyw/V8lq3d4f+W8/e/A0ZS39iF4bVbTBZInRP8Dh8GRVHG+d+ry3P/G6R+Ii1j/JXHjh2noThWZLewuMHP4gb9nrl1ggLMGLpH8gs8XcOJj2XFM1Zwkzq3IA13qIOCQPWPH0VsWKDNV7PvVcBcVHLZJa2YUmay4En/291TGVmBdBLbrje0sbecx9CS9rPBpXcqZtc9rb2OpWQ2tYdY1xJka2foI9njjKEvlOTpbX3cs66LN5uGCcaNnRoWUwagx262Fj4Y2gIxormiiVUUcH/MAu54FFiTAgoooIAC/lvgd1s5rMHH4Q0+7Z8eIwRB0Krb42H/N29uBRRQQAEFFPD/N7T0R6gom9gffkj0k0xlQBDYsPCbyDl6NmV101F/HACjRZPzPhcunpI3lhmn1E/zyVRkisWsLgw7dVLfZRVRRAtxu7lTICx68I1TJU5UeADAr6rzJVEg7q2acJZhaymlnomJyoNh/qQSeosNvvqdW0imZY0Q6QgkcLx5B4Jibq93vPt37OmYSX28dMcAz+0coD+S4v3OIH9e2aHZJqQyCkZ+4xv3b+TRVe3a9Bgp2R9OIg13auNSVaO6PouIz2klXd6ovecN6p8/GHqCCY1EsltEzVrFJolUGOwSuj+i8jeUyDBgIGfHiLQKjw2XgdzsGP2v8f0eQySZoc+g/JxZrhLqR9bpx9TO/siH2lR8GHb2RbT9VeKyct0pjXjt+f+nLm7w4/gE/7/6DqLUn1bsomc0SSieoWM4QfuH+KYbiw3jVcibDoS4f/0B3tg3pGU1KIpCbzBBid2KL0cgjvf7H4MgCCYLHmMArHNc94FRqS8rmDKzjIikslpBBDAdex+GSpeqjC9xWvFZLXQNmwlao5raZhEo9+nLNuYNLDB0VlhEAadNpNhtDrwcK0ocUVfErWdN57dnT2dxg7nryW4RTUUVv0d/7bNbKHdZsUoiiXSW0ARkX6XbhiSYOxeMoaNGGBXXxt/rwIeEZMuywu7uCJ2BBKF4htFYhtbBOJvbQ7QOxAhEUkwrdtLod3JSYwmH1fm0nIa0rLDpf0Fobior0zGinyfTy8zWSsb9dbDOhnAyw+buEG2B/PMtlVFMHSpjz7H/DqlvPAfsFl3w1htOavccSRQ4vsHPYbW65dO+oeiE17ZURjYRz2NIZmRTwC/AYDjFlo4Q2zpDeUWbntzxZNv+qjbmnHsc1rJarIv0jJ7ina8A5nPOeA0o9Vi1LpeMrNDUG6VnJEHXcJzR2MfPIIinsliaVyMk1A6ppOhgs1vtrlvuO1Gbr3b/MpoHRib4vMzu7ghNH6F77P3OUW5d3sZ7rSNs743w/K4BthiKKe5x9wEjr/FBVkP7BgzdJGUuPkI++AeiQOoXUEABBRTw3wabRcTyASFfEz0UQUGpX0ABBRRQQAFjGHvgS2cV+tMTE18BSwmhHCG0fd6XuP+cp1l11A959tyHSDhUAmrEn0/gx0un5Y2lLGYiJMMnLLSPU+pHDUp9qyRikwTiDrMKPyLlk/oZT34hIytYcJTqPvpZf+2EmzAolVL6MchCgCKXlW5DWK6UC8tN5siXRCJlav0fg5BJUte+gp196kP/gWAiL6y1P5JiXWcQMFvvxFMZDrS04G5eiRAe0t5XFIXgaAgxpNvqeOr136zGZydRqpP6VYkDhBMfrEIcr8w2Kg2NpNdHUf6C2Z/f77Bo1iiCINBgsPRpn4Ak+3dgDPv12iXKc6Tz7Eq3ZkuSzMgmq5VPAqP/+vwqDy6bxBcOrTYF4DosIidPO0jx6UPgsopYxoXTem0SVW5zMao/mDKFJ4+H36BCNgY5ru0Y5YEN3WzuDvPi7kH+tLKDWCrDru4I7YMJjq33c+6MchbXFx30/3KAMoOSPm6yCzH/zy6Jgun/+IMpvI2dIE6rqIXOfhjiqSxWwbzO/lCSjIHgNKr03XaLyZrIIgiaRdPUEv1a5xYzxLa+g6NtHWPy/WRGNhUlrJI4oVWGUb09Ek8TS8sYD5Axr/2gwY/dbhU1slMSBSrcNoZjabKygqIoJjVxJKV/zjg+5hcPZkstI5IZma09IbZ1hydUD2dkhf5QisOri1hU5+fYej9koGs4zpH1eoFsa8/HDwL/f432QJwxzt0mCSbLHcDU2WAMpR7D3oEov36zhfvXd3P7e+15IcFG4tpuFbUg6/E5Eh+HqDZ2axnPpQ1dQSLG3AqrxNRSpx5AnlVoGsq/tvWH9PMqksrQZiimDhqKoMORFM39MRJptatlX2/U1PEyVhiwNq3QxkZnnsa5f1jJ1fsatDFb/16KQl2Iin7AG/eHRRKp8ev7PZgrUh4YSbKnJ5qzCfoYHQThlGmbtrkPISmqv/Na79EkBHVdjlSI/vWvkVLkvPBvQRBo7o+x9QMKVZu7Qzy6qTevs8AmTvw9wWwtHE1kDvq99hnuKcaOtk+KAmtSQAEFFFDAfwwTKfitkpB38y2ggAIKKKCA/6swWlt0xib2nQ7bShgxeGPHa+aw+dCvMVg2RxsbH6IbFxyIvnzCPO4wq1Azn9BTX7CayfSYQakPqqVH3Gkm9QOWYnzOceubYBuj7nLKDQG4lvL6CbdhQCr52Ep9gIBhv1k6dVI/mspSMrATMa4S87JgoaVuib6pe15nR6+qIHxp16DJY3gMb+0fzrPeSbx8B4+2XM73d16D7/cnI0QDKAqksgrZQV2lL4sWKibrJH61z07YUKypSXbT/iEktpGsN5KCADWG6YMp9eXcto8RFkZyfWqpy2S3OMVA6rf+l5P6ZpuNsfXaJNHk52+0zvm4kBWFJsP+nFXhJp2VKXFYuWxhDY3FDuZVevjB8ZNNPu8fB4Ig5JHpU/z5/uwK0Dd6cDW2kdQP5gilaCrLU9vMOQtdownWt4VMBK8gCEzxu2jqix00S8Hoqy8b5jF6/yuKSkh/FOXyeOud8TadB8PwBN7gsgKDBkugmGGdLpuIwyoypjESBIESpxUB3atc7NuHdP0RHPjFafT+bAlF934REupxM/IRrDqMQZz90RSBeJqMoZNnzFrIGLJa7LJQ5NJ/s2qPHVmBoWiKeErWFOGyorDZcAyHE/q5N155Pt5eJZLMcPt77Ty+qZeY4ff2OS1U+mx80ONWXzDFVMNxuH8wqvus/w/FeD/98c+T1V79+tZruL4pisJwNMU7TcOUOW1IuWPxxd2D7DbkcpisdwzH+EfpTjkYwWucd+xcSmVlNneHCRm6SuJpGaskmkjg5glI/XbD9bgzmKB1RJ9nNJohnVW95TvHdbck0jKDuYKAoihqATERRurcos1z7fZidh4IsStVQqZyhjY+rW+dqVNoPNldU+w4aPD3QChlKkR8GPpDSaxNK7Xpzc5DuOVz8/nxp2aSEJ2s9+i5QjOaX+WN5mEmlzt4u22YVZ26cr/YaWX5/oCpc0dbRzjJY5t7tfu3xyZR4VHPF6NdWjoj8/tX9vLbl/awsytoKh5mFXMXxhgSGZl2QzfJWIfZv4MCqV9AAQUUUMB/DBPZ7xRU+gUUUEABBRSgwxg83xScmIVxltcQOIhSc16VSnD2l88zf0ZJ4HHmE5HjifbUJ1Tqu0Xzw3JL0hwi6rFJeQWEXmt1nlJfKqrIW3bEXUmNgdByVU3KmwdUpX5ekeAjQJh0qL7+gf2QjJLIyHSNJihrX6Vvb+k8Jp1zuTZt3f0Wg6EEewYi7OyPYBMFFtf7+eL8KpZMLkYAhqJpukNJ7YFfiI0yeeWfEHMUgjRyAOcbfwAgkcpiHW7Xlh/1VDO5Qt+PNT47IwZbpdJIJ22DHxwOa7SsGe+hXvshHt39wSQb20Js7QyzvStMJJGhJaCTRo2lZjJ6siHYs2v0w33hPw66DNtnLB6AObB2e2/4Y3lJG9EbSmr+6wIwqcjB9s4wBwIJMhmFxXXFfP6QqjxF8MfFeAseY+iqVdLP+ZFQlPCa5xl64iYCz/ye2Pb3ULLq9nltFpy5a0VGVgn99Z1Bk10Iue9gP0gX7Wgsw+6eiS2LjPY7koGAd9pEZEXh5T2D/OzV/dz6Thsp2aiaz5peb+8Ks7k9RDSe1Ujlj2O9czA/7KBh3LhOt11CEATcBjKu2GFlermLbFaBZATvvZfAUIf+/Xa8gfvpn6jrM9jgZGQlr1tCURRThsFANEUgliZkKCz4bJLadWMg//0uq8nrvzR33RuMpkyFkGAiQ28kqZ07WVnROiWM52siI+eFBj+6qZeeUJLphsDYVFZmVrWbxgoXhzX4qPLb6AzG6Qkn6A0nTVYgiZTMtNw5nFXMXSvjMRhK8PtX9vLthzZxx+tNBD5GJsd/FYwk97SyfAV0lcGGqT+cIhRP0xVIsK0rTFNvjIVVPk6cXMxnZlVQmSvEvLJnUNv3xgBqoypbEgXTfXo8qR+IpNnQFmJrR4jAOAucpNF+J/cMvKM3QiIjEzSS+rljutHQXWIkh0E9Fo1FuYFoir5IiliuGKMAw+E0gWh6wsLDWAGrN5zCJolYW9YhyLnAdouXXaJ6n01nFUJTT9A+N7VnrSljwjWO1JdEgXl1HqqKbLhsIl6HZLqudQUSHzmYPTY6jNS1VZtuKT2c8w+v5bNH12OVBN41WPA0diwnHhrlxrda6Y2kaA8m6BoYhIx6bFZ57KxsM1v0KIrCP7f2aee50ypy9fGT+fnJU6j1ObTzSFEUPn/XGv72Vgv3vNPKeX9axevb+0zdFpEJOmOah2Ka7Z7TKv7b9w4okPoFFFBAAQX8B2GRxLzKfYHUL6CAAgoooAAdNov+gPxO+8RKXX/NJEbDybwHY1GA8+eqpLg8zg6n1d4wYcdcdJwlTuYTeuo7k0Hz+mLm9bttlrwCQo8tn9S3FueT+iO+BpOq3FNZR0bKV+SnfVUfWQFsRP3M2aQl/WFb6t9PIq2S+p7WNdp4uPE4Zp96HkrODkSMB6kNt3LX6i4AFtUVMcXvRECg1udgao4g29UX0cgc+5pHsGTM5Ix95f0I8RCD4SSu4AFtPOCsYZIh/LHGZ2fQp5P67tF22vo/jNTXj6Eq7zhS31AoGYlnTOToSDRN62BcO8ZiKZk9PVGGjX7644i0esPywslsntf7ByGczDAcS09IyCuKYgolrhtHjMyr8miEcTiZndD6J52V1eJLX5h0VmY0ls7zeDaGadYU2ekZSZrCSxWgqT/6sUJEA9E0LQMxDgQSGnluVH96bZJJ9TqtUt2nUtsGbDccSc9Nn2H40V8yeP9P6frpEtq+OZfB1S+xtyfKhbMrOb2xFKdFZDSRYU3HqLacExuL8dgk5pTpytD+SJIndvbSEdT3TySRZVd3JI+8Ls2RnFZRMBF4TpvEK3sGeW3vEJFUlu5Qktf26rYlY6p5OeenHU1mSWZknJLE7Ny2fNSQ3ExWNnUYbOnT7TNCue6ErKyYCMsxFbXxecPvsHBkbRGxVBbHygeQBprz1mXf8BTWPW8TSmTIZBXaBmNsbAuyuT1Ec39M61ZIZmRSGQORGksxEk8zbCDYLaJIIJrWzh0BVS1vLDT4c9e9gUjKpB4OJNKkZQXBoDofs4FxWCVTscVowdM1mmBnfwQBNZ9hDDsGIlrXjFUS6QolWdE5yjvtI2zsC3FEg8+kOD6s2qd1Gu09iA/5uuZhTrn1Pf72Vguvbevjz2/s54zfraB14IOvRf+VSGdlkw++MSR3DFUeO2VOK4tqizhvRjm7uqMcCCRMdlKgFtKXNJTgd1hoH0nQPBxHVhRTscU7TphmfH41djQkMzLN/aq1TTwt586BjGFeOW8Z63MWbSalfm4bjZZmnSPm8Nvu0YSpYLd4ih8FaB9nwdMf1K/ZRuuvYDxDVlbY0x/BbRWxtL6vvbfVMUe7z52zsJrummO098o71kBWPd7tE9iJgfrMP6XcxYJJPubVeTmk3qt77WcVhsIfXgRSFAVn8xqE3HeO2os5bPGxOG0S5V47p86rZIP7cCKiel2xZuLM3fsMAJUD2/nCMxew4KaZ+K+fh2Xfe9T57KxpHzVZ7GzpCZs6Pr60sJoqnx2bJHJknZ5pEIin6TIcb4oCP3piK4Ih9jgywf3OaL0zo8xtsr/7pCgwJwUUUEABBfxH4RlHKBRCcgsooIACCihAh91AFrSFJ358q5w8GVlWTBY8AIdUeUw+wm8s+a32+qHyS/PuwTCB/c4nfGS0xsx+8nPrzct1H0ypP26brGU1ecse9E6m0qBmLnI5GPE35M0nFE/stf9hmD+pmIBBAS/1N5FIy/QGE1hyHvsA/gUnILl9xKvnamO1vRsB1We9zudADBzA+cotWLe9zLxyNwJq+GoiR5raNj2Xv92ZFJb9q2gPJHAHu7Txfls1ZQYivsJjo9+tWw9JqSgDXR0cDNFUlrCBmKrymsnUYqfFRH6OWfDIikLrBLY+GVnhqBq/9n3HK/99DouJoD6Y7/d4vLV/mJ+/up8b3mjmN2+3EkqoBYbe0STtQ3GaB2JYDWRI7bj1um2SqcCwvddMLnaMxPnVmy3ctbqL+9/v5p29Afb0RNnTE6VlIKYR+8ZuhRklrgkDKBUFWg2f+SAEomn29UYZCKXoCiTY1xtFURTTMV9hILidNpEipwVn50Z8d12ANJz/26a7mwjc/GmsL9wEikKF28ax9X7ahuOmMNATG4s5ZWoJZS59+Rt7Q8gKrOkapcSjk8PxlMyuAxGTRVRZzn6nyEBES4JKYL7dbD7XBw2EdjKjkMkq9Bm6U8Ywp9yDTRQo/4hKfSOhn8rK7BvW7YKyshpOadxmQdCJUqPq2e+wMKfSjZxO4Xj3Hn3809/DMVsnK52v3oYiK2xoC9IXTI1Z7TMYTtGRszkJxc2q+jHF/GAsZVJ2G+1OvA4JSRRwGVS9dknEbZUYiJiV+oFcKPFEIZyx4X5Kt79EUVA9LlY0DWvzvJvL86j02DRbl6ys0DIS49W9g9p8Gw/oxdfD63wowweoD2yFuFowsUkik3PFOaPV1hj29Yb52r0bTH7zAEPhJFfct5HYBPYm/x3oHE2Qzh0LFlEgGE6SMBwLsqLQFUhw5rQyppW4TLZRYxhJ6EVEiyhwZI1K4m7oChJLZrXfXxDy1ehGhbaxSNAdSGBsllFQrY3GtslYPHNYRUKJDLtzxRCTUj+t2i7V+x1akSWRkU2dV82GMO1oOstxjcWUua0mX/1IMmu6js2ocjEmmlcUCMcz7B2I4rBIWDo2afPtcao5M6fMreDOSw8jPfVYFIt63krJsDav2/bR/l+wSgIVhs6Jj0LqdwUTeFpXa9M7PQs49zD9Hn/+4bWkRRuv+c/Qxg7b9iALtz/EhS99hfJAEwBiZAjv3Z/D3r0Tt1ViZ87eSlEUXjcUJOdXeVhoCCeu9+nF49FkhmKfuZicTMu8u2dAm54oLNfkp1+h3qP+3TD3AqlfQAEFFFDAfxQfpHQooIACCiiggP/rMLb1RyRP/gyixOTJKrG7ry1gCow8caqqhD99hhriuW/aOTy05B5+OOk21ruPwD+BD/h4pb5V/mhE7HgEpp2kvZYFiatOn256322TSNp9prGJlPqWmukkrebv3e+eTLmB3C5yWhgpajTNk7C68fj9n2jbGyvc9LkbtGmpr4lkOku8p1Xz0weYueg4ADKNi7Sx8h6V1K/3ObCMdOO7/VScr9+O975LqXzyOxTbJTpG4qTSMkJ0BKl7h/ZZoXa29tq67z2iiQz2gE7khjy1ps4DqyRi8RUje/S8AnGgRXudysh0jyRoHYgRSWRMKn2nVcQjZBh8+DpaL59G35++hhwZodaXH5YbiKQ1NbIAVBrImBqvnSq3jcZSJ0pkhL47v0Xr5VPpu+MKMsEhk71A1wd4wo/h/c4gS3cOaHpHpySxoS3Its4w7UNxekeTDIXTnDOjnIVVXoocFjwThJcuMFjwbDwQ1Mi6oWiKO1d3amGyC6q8JqX8YDiteTwbt7fKkM3gc1qYWa0r3sOJbJ6txnhkZIXmfnNhJJzI0h9KmQof5QbS3eewoCSiOB/6JkIq91nJgvvoc3EtPBVEg2J+2R9xvnoroPqzNxlU1eVuK5VeO1MMdkgD0RQjOSJ2SomLGZUuaov175jMyOzqjmhK+xKX6kNvLEAIAqxuH82z+Imms6SyZgueoXD+/rFLIpOKHB9ovyMnomRGB8kEhwjHDRY76SwZWWHYMBYe113iskna+WIMFS12WFEUsO58HTHYq34Xi43Sz/2ciq/frs1nad+IpVknEY3oC6aIp7ImP/2BmHrcBGJpgokMA4YuFqMiuyh33bVIInaLfj4XOywMRtN5pL4omIOKY8ks4fdfoenyGZzx9o+47KmzOW7d73mvaYiXt/QgK4qW7THJcD73RtROk6bBGN3BBMOxtEbUS9kUC17+Ma2XNdD/sxMp+eUh2DYvBWBuhXr97THYUYF6fbn6sa3aPrdbBE6eo3dWtQ1GeWhl+4T77+OieyTOprbAhOpnMPvp9wdiXPSXNZz4m+Ws2jeEoijs74sxMM67XVEUvA6JpJzl+X0DvLJ/iN1D+nlT6bZT67WztTtsIsLddilPYe0wFAnGfmtFUSa8LgyFU2RlxWS9A2oBf0NXULNnMa4iK6u2N+OLp50GCx5jYUUUQRQEDqn2MpLIMBjLJ82dVhGf04LXmMcRz6h5A7Js8tPf51A99K88eSoA86dVm+571j3vqN85by060uERNt/6dTZ/toZNn62l6c6rIKkep6FE9gODwEHtirI2vadN7y06lIWTdWHASbMr8LusPF98Hulch6E7PsTx636PJWu+9wjZNM6XbqTW62BtrjNid3/UlCVz3lxzl2DGcJ0biWeoqfBwUX2cv5xbqY0v3ditvY4ls6buyZF42tRhNrPcTbhlO6ne1g/83h+GAnNSQAEFFFDAfxTjVYIFUr+AAgoooIACdEiiQEXuIV4WJEKi2ZveUlzJ9JoiAILhJO9v66FnIEJkNMaMXAjbadNLqXRbSaZllsUa2e2aA4JATXF+IOd4ot2TPbiP8gdhYM457J12LoOls3j23IdYMsf8gOy2SUhZM9HQZ63MI/VddhsD5XNMYwPuSTgM4YR+h4URQ2AswJCrlqqiT+ZXa7dIDHsbtGmpT1Xq+/p2aWOJ4slU1VQB4F2g+wv7OtaDojC5yIHryasRw7pyz77xGWYMb8FuUR30LS1rNSuBUYuf8s9cpc1r3fcuHrvFpM5O+vMDgSu9dlJlekGjKNSh2ZDsPBChczhBfyjFru4IfUEzSd3/x8sJPHkL6b5WgssepOtnp1Dr0f8PG1N6Gz9X6rUypdxpEmUsqPIyvdhK1y9OJ/jqPaT72gi+8QBdPzmJSS6d1Oga/eACUSKdZenOfkC1jjphkp/F9X5cB+ninFvu4fBq74TvHVbr0+wdRuIZmodipLMy96/v1hTjbqtksiYZQ+9oElmWtc4CSRCQDHHH1UU2StxWit36/7Bdwx+cGTBG5I1HXzB5UKW+12kh8MzvYbANAEWUSH33X9T96gXqb1nG5Lu2kK2epc3vfP12rLveBMBj1Zc5q8KNoiiEDapyo3p3XpUHQRCYVOqkoUy/JqSzCnt7I9z3bis/enwbmaxsUuq/s3uApzf3aNNnzyrTCMeRhE5mBiJmotqoaq7x2k3dRKCSoeHVS2m/6kj2f8ZHyxcqabm4gthXiim68QhcT/0Iy6BqmWMkKyPJLLGU0XpHXU9WVtjSq1v1SKLAaCyN3dAl4zn+s1hKqnDOPgbXoado4473/qG9dtvNXuDdI0kzqZ8j8UfjGQKxNN3hg9ilGQJyjYrvYqeVcCKD8TAZSWSo8NhMSv1Ebxtdv/k8zrQeoHvY9odY3P86Nzy7kz19EaLprJYDoe0fgy3MO80BNnWpZKYgZzl/+Y/IrnhMX3E8hPuRK5E6NlPssFKXK6K2GgKqH13VTlN3gC8N/ZPHmi/j+d2f5vod3+baKbpl2N/fbiEU/+j++ol0ltbhmNblkMnKXPevHRx34ztc9Je1LL7xbV4yHHNjMPrpj+XLDISSfPOBjew8EDaR68PxNKs6R2gJxZlX52XXUJRIrjBRXWQ3/T4zS91E01l6DddA7wRFROPzazydRVYU3mwazit4gRqmG4pnTCS2zSIgAOs69aLxYbU+0/E21oUyPiAZhaQYWQAAIABJREFUciHVBk58LDh7fi5TZ+cEVkj1pY5c3oR+bPWGktglEXGgGTHXrSEjsN8xjcYKN4dPUUn0Gr+D9OyTtc9Z9y4HIDBBNxNAsqeFPd88FPeK+3FH+vBG+2jY8ACuuy6CXMFy5EMKo8PdnUh9Tdp01aIzEA1WPzaLyNkLqhm2lvJgxWV5n49ZvLxedJo+/553aAjsZFdfhNF4mjf3650u86o8puKJMs5+KTnUxQ82fo8r3vwcM24/mptH/oJNTtI1HNWU9wrm0O6dffpvUOa2UjzaTsfVi7HK/17+RIE5KaCAAgoo4D8Kl03EllOpSKLufVlAAQUUUEABBaiYV1ekvR61FJnek0qqmVTqwpZT9AcjKbbuHaDKQI67bBI/OH4yb6/rMAXqVvvzSX0E8yOiJ/sJfZFFkWUn/5Z/XvgsvVWH5b3ttkkMl5jV+2nRlk/qW0WiLnNBIOStM02XuKx59jvrK0+l8hOS+gCJsmnaa6lvH7ICVcO7tbFolR48XHmETm5Ywv0cKQ1Sl+rDtuftvOXO2PooHptKuFj366G73RWH4z70VH2d/ftxZyJIw53amK3GXLgA1Vc/XjpVn052MxRJ0T2SMJFGsgJyBo2anjq8lfCKp03LSrZuY+rOZ/RtCiZIZcw+5ms6Rtl4IESZwbqn3GVjyvv3k2zebFpeqnM3DSv+ok1/mP3Ouy0BzR7ohEnFTCoyH59uu0SFz6arwBWF+qGdjOxch5I1k0k+h4VZFbqa/p3mAEt3Dph88i+cW4E0gf+zmp+Q1CySasa6QpIRnKsfIvvcb4htf5dJBn/reFqeUI0+BqOPdbGBNIynZDy5ooVNEkxdA8GhQXr+9Sd9u065iui0E7XiQLJyFqHvv0K2aoY2j+upH0EqRo3Xrnlbzyp3E0uZlbAHclZdZW4rixv0jpZqv51pOVsIcaAF6YlrqHvoEhpeuxZ/61qKDP+n9wcTuA2dBYfWeLVljRpUw0ZCNJpIE0rq+6naa8dmIC4VRWHw3h/Rc/OFJPdvAkOhRMimkQZbcax6kPo/nMS83U8zZLD6iSSyJhJt7JmiZThGOJk1qcyHh0aw7lqmTftOulh7XXz+97XX1u2vIga6KHFbmVvrYbKh6DEYTpn2aV8kR7Dm/noi+TknDqtoIlGNzz1FdguKYf5oSu1GqPTYTfM5nvk5UjrfDuvM7Xdy7rwy/rlBJdUr3DYcuUwW26bnOOreM/naoydw5lvXsGfnDl7YrdrwHLPxL9S2vpO3PCGbxv30j0FRmJdT6zfnSP1QPM3flu3l+u5buWToCcoyAQQ5S3L/Jo5/7Vt8Nvwqp8yt4voL5rOrO8amtuCHBqKu7RjlZ6/t5w8rOrju9Wbe2j/MzS/s4fE1+jUwFM9w9eNbWbtft0lJpLMmW5NhQ8HKYZMIGMKOEeCNliHagwm6Q+rvY7QVmlbmorZYv2/UeO0U2S0mQtfjyH9WNRaqUhmFV/YMsn9A/42GYim6DPZ44URmnJ++xIFg0mSZdfSkIpMd2lgx0pgnoxVew0lTsaE21yE1tdSFwyLSHU7SbAg1L/daKc11yBiPrXgqi9smYenQr+WdtnrikotPH653ijmsEulZS7R5pI4tCNERU7FwDOn+dpqvWYJ9pCvvPUf7epyvqraAox9A6sfTWZxNK7TpmLeWU046Om++Tx+u2vE8V/xpHiv7IjjUou9270K+N+n33FH1Pfa59I443/rHKHZYeHpbn6nb47TppebvkFV07/1khGOfu4L6PrUrD0XhiP43ubL/XmQFWvr1YpsxH2NHrz4+v9JNyx3fwZr+ZKIJIwqkfgEFFFBAAf9RCILAzCo3VUU2Zla5J3y4KqCAAgoooID/yzjG8IA5KplJfUtxNZIoMLXCbFEzpdxtmp4oFLemOJ/09o+bzy/kP6T/V8Btk2ibdCJtk04kZXXz14ZrAN2aYgxOq8TWeV/WpvvK5+Ow2/PmCVXMNo0tLznt3yL1nZP05YlDrZBJ4R/ap42la3RS311WSbZSL1BY963Guu6fEy63aO8yipSc5UXnVm08M3UR1upGcOm/r6VpBUJKf+gvnqyTt2Oo9toJ+XX//6pEN639UXonsLqxiAINuULOlDV/m3D7PMvuYEzy2RNKmhSukVSG9d0hHtrYw03vtNIzpkTOpsm+dteEy7O8+VeccdXfeziWNhGrRuw8EGTpDlWlP7vMTZ3BNqQnnOSV/YNMq3TRWO7k1aZBotEwngcup+gPpzPw42Np/85C0gOdpmUe16BbM+zoi/Be64jhPT9OQwj11r4w3QbSrd9ARE/2OxAH2yi6ZTHOJ39I4J830fXTkwnfdxWlLp1S6QokJgz2jaeyJluYSWVOE7FryRFlxQ792FcUhXtv/g32tFpUkx0+Eqd9X1V/5pY1GsuguIsJf/UhFEn9rDRyAMfyu7GIArVeOwIwo9xNMKaTS3arSEOJk3lVHr5/3OQ8QU25z4Z91xsU3XocjpX3M6V/LZ8afZ3Ll3+DGfddgG3jM1ia1+Dp34Z/tB0UmXgyQ89QlCPqfEiCajUxEV7d1sOf327RyF2rKBI1FI0CT9/GyNI7JvysEUI2zcmrfk3x1n9pY8mMbLJJGVPBj2UqjBqKCex6ByGt/t6C2497oa7gdR9xFtYqtftFUGQm73iMmdXqM0qpx2pST4/BY5ewjBvPyAr9OfW+EOpHiI5Q6bOZLLSchn3vs1tMxOxYUGql14YkCjisImLvXmw7XtPmeazqcmSrek5LkSHOy6xlVqXabTXmAW7b8C88D12BpXsX7vgwM1pf4+LnPseUjuXM2fssR2y9T1veJv8x/KL+19q0pXMLlqYVlLlsVHvsmiL+2Q0HOLvzcRZF1uftC4Cvdd/NlRVt1JWoBaJUVuFAIMHu7siEHuI7esM8trlXU7ZnZIWlOwd4x6CeHkNWVrj68a2aFc/u/ojW3ZBKZ6ny2Ljz0oUAXHrcFK3gbREFqvw2bd6+cJLOUb34KQnQWOLkiTUdtA/pxexDKj2mcOiJSH27RcT4669tD2o5FAB9kRSDBjumPT1hQoZzxGEVWWsItp5S4qTSazcdH2NKfaOCfIzU7xhJ4DBY9ZXkApQlUdDyRdZ1BxlKpjik3svUCr1DyXgtskkiPrvF5Ke/z6ned04xdNs5bSLUzUX2qmOCIqPsWU7TkJmkTh1oovXHS7CM6N0bq2ddwobS4/XvvvxuxL59jOaCeidC02CMig7dCqunZhFz6ory5jtiSjENZS4QBB4r+wLXHPM83zj6NX5SeyPdtloQBJ4vOlub3775eSY5smwz5K40ljjzQt+NRR3Ly7+jdHgf43F28A0Oie6g2RBWP3Y9Cicz7DFYos2L7UPanV9I+yQokPoFFFBAAQX8x+FxWJhS7sp7kC+ggAIKKKCAAuBYA6kftJh94i0lqp/r4VPM4wsmmR94BSGfiPI68u+7Xz3KHC7rU/IVoR8FNR9CqNssAggiL535N+65bC1v+lS1+3gbPrdNYqBiPiuO+SnNDaey/LjrqZugGCHVzGTL/EsJeWp488SbGcy6/y1Sf8qceWQFlWAT5CziYCv2wf3a+/YGPRzXKgmkp+oBmyU9m7FteV6bXjv/28guf25ZGaYMbgVFQerR7Xz8Mw9DEAQcU+ZrY7btr2qv03YfdXXVedtZ47Mz4pukTRdHuugPJTTiShJ0ggdgVpkbWyqMY5/uTVxx1T9AzBE7w13U9qleyqmsQr9BOdoVMhcKdgyoykPr7rcQQqrNUFa0MnjDVo3sIZ3ksCZd/T+RWr91IMLVT+3AYpFwWyUOMRSo+iJJlrcHGElk2DcY5d53WwmlsqT/+XNsW1/U5kt17OLA9Wcjp/Tlz69ys7Dao5HbY6j3OzhndrmJqOkMJUxK2mRGJ5cq7QqeB7+KFDArTUdfvhvvstsNn5EZDOVbKYwaCHWnTcQhJ3E/dy1Fv1qI79bjUHarv0WJoUtlX2+IE4Z1JXnfgotRnCpZ29KvkkNjhJFcPQvbWd/V5nUsvxuSUao8diYVO3DZJNUmRpax7n4L/4bH+HpdhG8dU0/JBP97h1u2Yf3HVxAy+YUhR/t6PA9/A9+fz+FLb17GpU9/iq89toRpW57g+md24rCIzKxwa37947GueRgkkSGTbY46b3zfeoYeuV4bz9YfQtWf1jN9aZiKR/oJ/mI1kS/+mWxRlTbPse/dSKq/bcJ1uWwSiqKwPaeQDRq2ybbrDf07HX4mglXvOBAkCf+539b3xxv3I8fUZYiCQFWRuagIUOqxTrgvR3auoPh3J1F87WyKfzaV9K1nkzqgE4JGJbbPbsFv7NTI7ZexQGu3XcLx7t+199vsDVRe/HNSR31e/y6rHmRqqZsGv4PJRQ6E0ADuJ6/O2y57Ksy5b3yXU1fcoI212ydzc/kP2Ow+jE3uhfoycxZEi+qKEBHY1xuhLtXHl0b0gkrbpBN58Yy/Evbo1yj3499DiOlENagWSft6o8g5i7Cn1nVy6T3vc8/afBU3wMwpJVgtIo0Vbp787iKNXB8Mp7jzTfV6/MpuPfh3MBDj2k/P5pyFNVx23GSOsXZhe/9JbJueo04apdpwT0hnFTYf0G2ZJhU7WbF3kNte3ssb23u18cmGjiGrJKj2aYpC8J3HaP/OYbRc1kD/Xd/GntHJXJ/dQrHhfG4ocWiZCwAuu5WN7brVjqIorGnX99XRufv3RAG8RlI/mMgQTWUZjugFgrQsY5VElHSKzOgA00v17d83GMNtl0z/DzisoubfLwqC2uVjUOrvc8ygwmdnjiE0VhAEfG476Vkn6d9h1zsMRdOM5ooViaaNdPzoOBjULeSWHfkzbrVczE2l36fPrh4rgpzF+fadKDlboomwuy+Mt2WlNi3PPmnC/2lEUeBbp+pddjt7Y3QGM7lthq8vaeT9omO1nB4hGWFG6+sANPqdnNxQzAmTivOyG8YKqeJwJ56VuiXX7jmfxzbtcG36ktGnTUr9lv4o+3rDbOwKaffkIocF57ontXkSQv715OOgQOoXUEABBRRQQAEFFFBAAQX8D8asah/FOWJ2IqU+wFWnT+dzR9dz7PRSfnHebBZNK81bzkfB1FKzQk3kg8PrDobTppdS7rYiCXDp4flktGCgWRVRIpnzex7/oF6cI8q2zr+UV0//M4Plc5lRmR8YXOmxs/KYn/LQF99kz8wLiCUyVPo++cPynElljHh1D3tL1zZEg799+cxD9O8iCCjTdFJ/yr6lJu/fklO/aCL9a3vWIwa6EBP6w3/tfJUYcDTqyzWS+iFPLfWl+f7vZW4bQz5dqe8MdqEYlLDFHiv1JTqRVeq0MqtvLUI2R7zY/RzzViVNxbpF0vwu1ZddFFSFonRgJ+4Hv0bjw19izl7dh3wwlmYgmsS+/iltLLPgU0jlk0gc/1Vt7JA9TyPI6u873lc/Kyv88PFtVFeqNglHOsMUPX8dnnu+iPLm3zgwGtbCF9d3jHLPu+2UjzTRsP1JxiPVuZvRV+5WtyMrs7snytwyL0saSjitsRSrKFDhsXHlojpN9Uo2g/WtOznzyQs54qELsK96CGQZiyDgtkpYRAH/ukewdG3LWx9A6KmbKWtbrk0fGMlX6xu9ov12ge4bLyDz+l1Iwx1YenZju+MCJh1YS7GhS2Zo7xamJfUAxd1TztVer28NkMpkTUWJ8s/9FMGhdueI0QD2dU9Q6bYxqzznpz88hO9PZ+C9+3Ok7/8u7VfOY+iJm/JyABRFYe9vr8Am56xk7B7ip10Ns0/gYHDHh7hw+20s2fZHnlnfxcIaHyOJNPG0uSujfShC72gcv9duDrhNZFGyGXrv+AbkjpNsST2h7yylr2g2osNN0uojWz2b1DGXsOnipwmL6jXAlo5hf/HGvG2ySgJWSaA3nGQ4Z9GjWQLJMtZdb2nz+o4+J+/zRad/VdufcjhA4JnfkxnuYfDh6+CuL+B9/jrEnPrYKgmUe22mogzAlI7lLH7yywhd27WxxI536bj6WI3YNyqxLaJAtSEAfEypX5ELaXbKCVMOwHPFn+bIaWUkj/+avoyOzYiBAxxXX4zTKuF46y9ayLLi9DF01FfIWPOvI2Grn1/XXktccmnL1vbl7rcQoiO4rRLH1vkJRDNUrrwTQVa3L1tSz8gl95CaewbDX38CxaJurxjqJ/T0b/jVs9sZChsDXbO0D8b56ZPb+dlTOxhKKyi5674kwLePrWes6cFmlWis8/PLC+Zy9NRSrlgyhVmNJZx2zGQOZOCq5/fQZzi/yp0WjqqAoSdv5fPPnk3R70/B89i38Tx0BcFvTyfyxK8oc+g06NpOnUiv9dm54dmdAKxpGiKazCeYA5EkgiAQePI39P3+UpKtW8kMdBJ89R6ct5+pBb+WOq14bfr5vK1lmFU7+jQlukUUmFKmd9O9vHeQdO49n13iqPocqW/IE4mnsyiKgicTwWUIWO4JJU2dQIIgEFz2IC1frqXlC1VM+uMplATUDIqO0bhmKza2zKU7BwgYzsdiKYvUvVOb3uecwUmzK/LuzUVOi8lX37FvOSiqnVGibTtd156OHNJtkt479uc8KJzCosYSjpxZw6MluuWVbcO/EIJ9piLyGGRFoXPHJiy5fBpFEJi+5FN5843hgiNqmVWTn7Vy/flz+MV5s7ng2GmsKdW3u3TTPzllSgnH1vup8TrIZNU8mqDB2mvM1sv58s2IuSygiKuCd4++huD5v9Tmmx/eiqdf33clHjvffXgzq9r1LrGjqx1EVur3zJgl//+Zj4MCqV9AAQUUUEABBRRQQAEFFPA/GKIo8J1TpyEKYCk2+8tLJSphXu5zcNvFh/D4txfx9SWNE6rYPioqvqNbqVRf8/AnWobdInLDaVP57dkzOHqSP+/9mRVu3DnCIhBMcLCMUYdFxDrOmm92Vf4D+8I6c8BvKp39t5T6tcVO+j06WW7b8aoWaqtY7NROn2Wa3z73OO21gP5lRvxTOfG4I2GWToo6m1eZVPr91kraMg5e3zdEolK3/RGSuvJzyFGtWVkYIYkC6bIG/TPZFOUZlUgRYqO4tz6PZbDZZBky54Cu0t9RsogbLlpI9Wm6xdHklmWgKJS7bIgjPXj/+hnsm5dS3b6CU1dcz8n9qspZFKDcJWDZo9sIjKmGk4u/giLmsgNCvcwPqP7D40n95zd20xtJ4XXbmBRtZ97fz8Lx7t+x7Xyd0hevY9Lj39IKAjt6IzgdFg7f9iBiziIoWzGd5KIvacsLPPVb5GSczuGEKQugwm3j4vlV/OLkKfidVkLxLMgy7se/i/eFX1I1uJOK/m24n/ohrud+AYpCpdtGhVXG+fad2nJ8Z3yNac+MYq01WCH94wqkoQ5IJ2DVY3T+6VsMPnQtqZ4WZFkhZFB92tc+RmzLm6Z9IMhZTl59E8UW/bjx7jEoyacfwfyjdf9oh9XC6v0BbdoiCXjKyvGf9XV9npX34bNJLKj2Eo2ncd73FSztuqUGwPCjvyS47AHT2OjK5/Ad0OeLXPYP4uddT+i7L5D62TKSR3+BbOV0Mv5a4o5iFENx7vyRl9j62F3MzmUZNAXMXT6LphRx5eRBZgysY3RU3/5IMsvIi3eRbtfJ7+glf0dxFxOIpkmks8QMBYI2pZR/VOhEtn/7i4h9ZjsMT06NvN1gq+HIqZ6lrq1agLUiiHiPPJPxkDx+k7f+8D9vpuXLdQSevIXo2hewvv03im5ZTGn/FubVebBaRK0ACVAU7OCMd36KKOfbEMmREbpvvAA5lUQSBS1bDNDyNkAn9fty+9Gy7WXtmpC1exCO+gyyAtmaOWTL9VwN6/aX1RfJKI7V+vX7Xu9n+XLoQr5T9zv6SvTw8cGSWXy//jZ6beq95IGvH4n/iNMYkXLdRdm0qStGGOnGtlFX6cc/9Qsaqio4eUoJvsYFxM+8RnuvZtPDBLrauOftZlMAbX8oRc9oAo/LyuQa/dq9v2OEVDxNV4+uoG+sL+KIxhIApk4qprHOj5RT7BtzaKMjI1yTXErb5VMZfvhareiibbecYfifN3PC6t9oWQ1xg699S0+I3tz1SQDKPPmdFw+vbGNw3asMPXJD3ntC925cz10HwGTDvUcUYOnra6jb8zLBnauY6GY3nFOoC3KWC+JrGfn791jzm29z/9/uB1mGTArhrbtp+VItLZ8r5csPn6gVWHtCCQy3HHw7X6TvT18jG1Kti5SOHVz00qW4o/2q53suFyGWyvLnVZ283RwwdbFIB3ZoRd+0aKPdPpklc8rztrnEbSUz60Rt2h3upTjYRtvuHRy49gzkiFowyQoW3lhyGy+WnEtjiZP7v34k93/jSAZnfYpBS5n6vbNp7O8/yWA4lVdobB2OU3dgrTadqTuEmdMnczBYJZFHrzyaw3L5HmVeO7//wiFcfoKaSfOVExp4xmEI+W3bQG2k3bQMBWgbjGsF2lAig9S+CftGvets7ZFXkbG6WO9agGOmfn2+3reGhOF6Ve530hfWuzQOG1qLJa52aSQEG6LL/L/Lx0WB1C+ggAIKKKCAAgoooIACCvgfjq+d1MiW35zOpWcdYRq3lOSr4D8KbJaDPwr6z7iCqh/cR9WPH8Fz7Gc+0fJBbeUf79c9BodF5PvHT8KRzbJ1T/8HLqfKEMoKmMizMSys8xEYiZHNyuxpUcmMMu8nV+qLosCITw+mtW19SXudqZiG3W7eBntVA9lis3URQN/kkyhyWXEfcpI2JnXvwNK2UZsOVs7mtX3DvLR7kCcDE3dYDLvqDvqb+f0+sv4abdo61Iow2oPvt8cTvuMS2r4+G56/SX0zm6asRVeWTz/zYqaUe8gsOFtTy9rD/ZQF9lHlseP+108QI0Om9c1fdgO3nVjO7efMxNu2DjFHNCpWB/Gpi3ljew9XPd9JaLoepHhE60sImEn9TFbmzjf3M3NKCVI2xRlvXZO3rlkH3mZO01J1+aLAJE+aaW064R058yfEzr0exaYWPLLBQQIrl9I/gQ0OssqPgRpUaV/3GPYNT+fN5njvH9g2/otyl5V5LS8hjqpWHIpk49rUOcy/cQ1X+39EWlKJOzkyQtGti/FfNxfP498j+eY/CDx1K+3fnMvge89oHJ6YSRB79lZtPWM++AC+YAeV2/Rtqe/WrSY8x5zHQkOYbX2pi81tuvJzjMD2n/MdXfHcvx9L0wrcVonh1x/AagiZNGLw3mvIBPrU7VEUOh65WXtvg28R6fkq4Z2RFbJTjiL65b8SvO59dl6znnsvXcUDX3qb/nLdiuqi9r/z5uodNPgd7BuOasR0uH0P3HAM57/xVc5/7Zucfvex2Fc+AIpCuq+doUd1kjS56ItkDJ0vw5E0AYO9SPdIjPeKT2bQ2wCoRTTHe/eavpcn1/VgDKdszHW62AwBucL0o0nafLy0uYeHV7azzzB/yUU/QSrWrX7GQ0iEEf/2ZSxR9XpjtN9ZvP5P2HIhmKLTS/1ty6n6ge5dn+ray/t3Xk80mTGpsY0IJjMkkhm+cd9GdnQFiS1/THsvfdj5XHT8zNyGCITm6T7hY9cq247XtEyOqOjiFb/6W3bYJ/OVitu46Zgn+ddnXuaS8t/RY1OvH986ZSpL5lTwq88uYGWR7nue2fQioWSGREYmvvxhrdCWLq4ndfiFpu1OLPk2KZ96X7KS4fyRFzgQSvLA5m6GDRY0V5w0jWPmVSPmjtlYPE1Txyhf/cMr+Lcs5YQVN3Lea1dy9ls/ZOsDt7BrfztvNweYCN7BJq5881JY+hvkuP4bKqJEoGwuo5JOnNZteoyZzS/nLePlTQcQFJmzRl/n0f4f4f3V4bie+D5CUD0/ouksu9v76frTt/TfwV/HXr/e5eRY8whS5xZTNkL6pdu5t/nr/KLnd0y799N47vmCWgA0IJLKYEuF+co736LovssJvnI3pav+zjnvfJuiG+bjv2E+7md/QXZE3RZHdJBTV1zP3D3/Yt9ADM/YfTadwPns9YyHIxnkhDVqIO3+QZXUX7pzQLseh1M6qW+03ml3z0C0WFk8oyxvmXaryNzZU0nX6Of/nL3P0XDf58mOqPd0WZB47bQ/snXSmQwORLjrssOwWUTsFokbPnsobxTpWRb2dY9jEQQ6R8z75s19Q9R3r9GmUzMntt4xosxr51/fO5Ztt5zO+l+fwkVH6V130yq9VB9yNL0+vTBrX/MoQngQ5/M34P3zuXjuv4zM1jcYCqeQFYVkKovref0apdTPZ+/08wDYNRDFdbZ+TCRXP0W1VS9oLjBku0wudsBqPW9njfcY3BPYIH4cFEj9AgoooIACCiiggAIKKKCA/wXwOa1YiytNY5YPIJ3G4w9fXKC9vuuyww46n2C1UXTGVyk6+csI0sSE038FaoscXHfWDFw5UuvXF86dcL4Sl5nUNxImYxAEgelFdpatbqetW1XBSeIn71YASFVMn3i8fFoeqeC0SWQMFjtjcJygWgy4Gueh5AItBTmLbYPefj9Soav+e33TmAghg2/+eNT47KRK9QKENNiK55ErkUa6tTHvsj8i7l+NpXktYk4lKFvsyHNVxaLiKSU7SffRnty1iknxLlMo5xiUeITUu49gt4jsfv1Zbbyt9HAOn1nF+y1DDIaT/FPUuxfcu15jmjPNQCSlBVMu3diNw+vA67ZxzJ7HcPbvmfD7HbXxr0gZleg5IbQSS87+IOspo2vyKSi+ClILdbuQwLKHtNeD4QQjuYBKBegcjpPOyiTCQZwv36LP520gaLBbcj13LZWZERrX6oHCuxvPY3mvhXgqy/ZsDX+o1H3sScUQYzrRDqBkUoz+8RKkTjWjwLv+MTJDqnpYsNiw376DxOLLtPkdax4BQA4N0RjW94X7yE/limNqdcBhlWgo1y0bPA4L0WSGW9Yl2OrVi36OFfcTDIyQeOpX2lh8/qd47uJlpG3q5+VokOEnVSI/vv1dnN26zdCB476DrtpOAAAgAElEQVRHkUFdPebpDbrfe9RdydbP3kvKqqrzvXKUnn/eRt9wlFRW4dXmIV7YtJepT1xGqnO39nlbOob76Wvw/u0ivH+9ECWeCwR2FRP/9K+pLNLP+VA8Q9igJM5mZbb+9mx2LLhcG7NvfBqSehCl2y4xtGs9M569ivNeu5KpbW8yv8qN0yZi3aV3SqTnns4pt77HVY9u4VfP7eLM363gdy/vRZYVJLePupteRfLr3VFSSTXek74IkrpfsoFerSAxZr9TMtLMtDZ9HZXfuxvb3OO5M7GIF4p1GyXn23dx6rXPsq7ZXMgCSGdl4hmZaDxNJJnhh3e9SmqnXoxLHXUxfpdetOyefob22tK6DiHUj81gi7XSu5ikaO5cWj3i5v7dCmOG6kdMKeaHZ6lEZ12JC2WhbnHiblnNq7s6eGZ3L+4NOim5cdpniAuqzzyogaDrBpKsnasf12ePvsGx05zE0jIrOke1oFynTeLUmeVYU1Gmtb7BkW/dwN0t3+LJ5kv52YHfcejep2joWsn0tmWUvvBLstcsUNXpioKgKKzadIAdTYO4VjzOF1/4AsWjul2V7PITP+snhG/azi2H/o3LG+9lj2Om9v4Ja2/DntCtdyQB+kcSXNl/L9/v+ytFQ3vJ9LXiWPsovt+eSP/+bbzTFuAL4edxh1T/f1mQuMr/E35UeT0tdv3663pBt4Oyr3qI8jduQTLY2Nl2LcP99I+16Xgqy0lT/Fy5+Qa8rXoYrLZtwV7E8GDeOMCJa26hs2k3vtw90b72cZThXIeCZKHoTL2jZXrbMioGd9I0FKUvnGTnzl2cvez7XPjipcza/ADk1PnGkNw99mkc2VgyYf4OqNee8mP0gtLh2x/EG+7Rpt868SZaG05hV9Mgd3z5UKr8+jF4+JQS4kdfjJzr9pEGW7C0rGVjp96l0TOaYF97N+Wd67QxlyHU+oMgigI+p3XCAsBlxzfwrFNX6zuX/43iX8zE+fZdWJtXY9v6Et6/f57hO79JLBLFseYRrC16t0DtN2/H7VCvURlZoanhdCSfWvhQknHs7+v2cFMr9M7CY30xoutf0abfKz4Fly3//5mPgwKpX0ABBRRQQAEFFFBAAQUU8L8Eonucp/7HUOqff3gtD37jSB771tGcOrfiwz/w/wDFbhurbziZFdct4dLjGiacxz5Ooe6xT1xo+N7p0ynxqA/alxx38Pb8jwr/lDkTjmcqZ+aN2a0SqQVmb+504yKWnHYSAC6nnUydHoIrjerEx3CJrhhM29xEinRyeQxC1dS8sTFMKXERLWnUpm3bXsa6f1XefLbnbsC2Q/fpz8w8EewquRtNZkjPOVV7b3rPaqo26NYdw0WNPFWiK3JHX/k7sWQGT7tOdHiOOAOXzcLVZ6rf52V5PilHzsIjneCI7rdQgO5ggnRW5vGN3Uyt92NLhjhky/36dp34NQau20AqF1TsjQ1oJOnUNt0LXVz8eUqLVTI5efQXtXF55zsIuf370qZu3tiu7+v9/RHC8QzOZXdoFiwJwcYji+/kuXMeIG1RCy9iZJiGmw/BNqISeIpo4dmyi0z7813fiTxc9mWyBlpFsTpIzT9b269kUmpgaDyE9OoftPmKzroCT00DyRO/oY1ZurYhdW0jvvl1xByBL5VUY596KJIo4DAoumuKdSsmmyRw+T828PDKdpb6ztLGrTteJX7/VZALMVasTv5cegX/2JrkPv8XtPlGX7uXdH8HPU/oXQSbXYdyyqfOmLArBnRSH6C8fjKez16rTZ/U9xLLV+9CVhQyssKhG+8m09s84XKse5cjDbZo07HP3oa3vJJSQ7jzaCxj+u5nLqjGaZOY+qlL9MDLRERTqEsiSPveY+inxzOr+RUaulbyqTd/gP2l31KT6cOSK7IA3NHTQN+48Oa7327hr2+p2+uYeiiND7ZQ+8vnqb3xFRofbKHmp49R/hW9IBR8/T6SXXupzQXoHrFFV+QLdbNxH/95rnp0C/e/28bDZV/WVONOJcGZfc+xtnk4b7+MdTjEcl7nh/a+pVtOlUwi07iIjKzblCTrDyWUC6kVFIWW5+7CskcvArzjW8IZ8ytpuv0srjhJJ6DHUFlk58+XLMQi6cfy2Rd+hqioHmcWOcWk7nVU9W+jKKIWC2VBZPeMT7Og1svCyV4WTS1iTyBK80ic3bM+Q9apnvsuOc4RLWrxL5rOsqk3R9pmM0xfdzdXPHEyZ7/1Q07pfZHJqYkDc0EN9z11xfWc//qVXHOIlR8eX8m3Wv/AFXtvwS7rv2HipG8S/OVm4mf/jIZpU/n8oknEJRe31v6EhJjLJ0iMcNh2/fo2NBLn5OByPj2ar+CXIoNMuvciyve8wtmdT2jjS/3n0uaYQlaw8Ei1niFibXoPy97liIEDuJbmq+Yhp0pvWw+onSfOVY/Bdr2DZLtzHu+7j0A2XltEiT0zP8frp/0d2aMSyJZsimO3/kPrdrCt1wsu/rO/+f+xd95xUlXXA/+emd2Z2d4LsMsuvUpvIipFjKioKIgtij1q7PFniS3GGNOMRmOisaCxt1hiSWKNGgUVOyoIIiJIX1jYvnt/f7w7fWYbu2zhfD+f+3kzt7x333n3vXlz7rnnUHDuHfgGBCf6Rn16P9+VVfHq4k846tkT6b/qZXr98AEFz/+C5EcvBmPCLPU/9wxg6pDG3xUyZ5xAg0T/Jr8x+XK+HHg4q9dt5+R9Sth7QLS1/1lHT+OjlKCxgfedB/C4hK827OC1pRs468GPGLD6lYAf+4bUHFKG7xu1n5YybWg+y0oOYqcrqdF6rrfuZ81JRaQ8elEgr37EQaSNncmYEJd/r62uIP1HwQmU+v/cAXVOn/NTPAjOZGTxO3cFYlGsT8gjedR0dsFTotPHXWvevRCRq0XE2HRMI/WKROQeEVkrIlUiskxErhORuE4bRcQnIr+wdats23tEpKh9zkZRFEVRFEVRlO6GOyXcP31j7iEicbmEqUPy2Wdg7i753G9rfB53zCCwfkJ9ToPjMzcWeWleXvjZvjx8ziSunRPb6r8lFA8dETPfVRSt1PcluKgdOZvKAy/CiGDERfUhl+G1yshkj4v63qNi7m9jzmAS3UKGdRmyPmtgVJ29xo2N28+STB9lWUGlfjxXK8lrPsT3xp2B737XKr2yvGyvqKK8/9RAWf6axWH+uJ/NOYzns4IWmbVrv+Z/Lz5Pn8qgdezImY5l78zhBQwoSKVOEnkjM+iCJ/ODx+iR6mV1WRV3v/UtPXs4SpF9v7ifhErHatb4Uik86TqmTB7DRz2C1sfDvnwSb/U2eq19L5CXu/9cxvd1XBvU9dub+mxnNYOYBrzvPU5NXQPvfL2RxSuCStOsFC9ffroU32tBC/wns+cwffJIytN68s64c2PKrmricbxfnsaEftksPGM8vzlmBGm+BB7Onc9ZfW7l7p5nUP3jP1H2i4/ZccYDlJ/5YKBtwtqlZFwzErY5LinE4yNn/hUke93U9xhCbZ/xgbqeJU/jXRq08k4dPytwr8ZzZfXn/yznvZWOW5L3U8awwVsYkEPieyG+z2f8lPe2OkrNFzJnscH6s6auljXXzqb+k+CEyX/7Hs+4PllhlvqhhMYJ6JXuo2TuT6n2Os+mJFPFvptfYcPmCtLK1zJiaVDRuGjMT7jrhNdZUxC9Uqhq31OpGTeX9KQEUn0JxHpCVdTUceho5/yG9ilkWf/gmKz43xPkp3sYmFbLht+fGPAL7mfLQ7+k8k9BC/LKnH68UhZ0dxUad+Lml5bxsQ2i6vKlkDrpMFLHz8LlcVQ+WUecH4yr0NDA1qduIic5kYzt3zFwRXDiLGPepdz28gpe/Nhxm1LhTuaVXvMC5YdsfZGNm8JXeABsq6wGY5gxJA+M4YBtrwTKaiYcDa7wZ2DPTB8rSoOTcuM++HMgyPmGhFzKSybw22NHkuh2ccVhQ7jp+JH0yUvBm+hi6pA8njx/H3pmhSs4h/fJZUX+pOAxVrzKgJUvBb6v6TmB/KJSclI8iAgiwl49nEmW2sQUlo0MTrSN/OxBXA21zOiXxR3Pf8E367eSeteJJD/3SxJrgnEP/NSm9yB12glsOuKXvD/y1MDkDUDv796i+rzBTLptPGNWB92iNSRnUn7mw1Qc9WtMciaFGR7y0j0cOa4X6UkJbEjM55HsoOxHfv4A3mpn1dKmdRs4dePCQJmndC+y514SWMWQUrmZg1++iMQGR1G7KSGbB3KdibEBBamMOHwe3/WcEGif/Ox1JD9yYcD90XZXGk/MfQFv/+BzPOmfziTa12u3kv6fPwbyF6WM4/9638CN/a4j7c/L8Jz3IDtOvpuy65eSc9btTDjsaCoODwZn7fvVM7i2rsG1fjmJIQr5zFlnIC4X2fOCqwIGrniJ5PJ1ZDx5JWk7fwiTue+dB/AsfhT3xuAz/UvfwJj+9EPx9tmLzLn/F5b37thz+Hj4CeyoqKFPmoczp/eN2bZfQSrbxwUnGD0fPkOeVLFlex2ehESOGlvE8C+Dq8FqxhxJcnLr3er5cbuEedOG84ceF4ZNyrpSMsg66mLq+wQnQqQyuHKgxpfFgP9zJu327xt0q7OuvJoNE04I3Jf161eSet/p+F78LVl3zGfuS2cw8/lzqPrnLYE2T2cfxtThQbd5rUWV+hYRGQRcQViIiZj1+gFLgJOBzcAzgBu4CnhVRKJGmFX2vwJcDaTaNt/ZfSyx+1QURVEURVEUpZ1pS2MbEckUkZtF5FsRqbbbW0QkOjJsG+EdMBbfQEcJmLbf0bg8u/4Ht7Mzqkdw+XpSYuN/YfMzfEzqn4NrF13vAAwqLWSLJ1qhkdF3eFSeN9EFIlTOvpKyX35O2fWfkzQyJBif20V9yeiodrUJSWxPK2J8UQaTrd/0TdnhSv2axFT2HjM4qq0fT4KLrTmx3fa8PvkK1hXEnkyoGX4Q1bX19MryccioHrxRVURDclBRIXXVADS4Exkz92Q2ewv40hfsmzxxbcCtRJUnnbT+jsWliLDABiV8xhcMEJz4zWJG8QNfbNjJB+t3IiIkVWxiyIcLA3UaDjyP7MJCRITSI38SyC9a9x4jPn8Yt3GUyZVJOeSMmEKKN4GtO6vB5aJmYtAuz7voIT78ZjOFGT5ev3IqG7cHLXlT/3l94Nx2+HL5ZNgC5ozqgUvg4+HHU1EULi/jTWX1fhdx64mjeeScSew/JJ+jJxbz8DmTSPG6We3tzePpszn9qyFIujNeagfsi2t60HLT7/IIIPPQs0jI6UmSDdxaMyYYt8Lz4dPkfhv0p58yPqi0To6xQmXDtir+/va3ge8HjuzF8nFnRtWrz+rF8tGnsbO6nl5ZSdS7E3koNyivmlWfBT4v8/Wn/9RDnOuT6MLjDr+XauobKAux1C/K8OJKSiXvkGCg3gO2vcra9eXstfRh3NYytTylkPdHnUFFch5vHHkf/97rYmr7TKC2zwR2HvNHKub9FoA0nxu3S0j1RZ9vQ4PBl+hMNPRI87Kib3DiJ+ubNzGVZdT9+y8B3+ORVH21KPD5CZkYUNped9Qw3rtuJsXZjmK7wcD1Ty+NCtrpRxISyZl/WeD79lf+Tv22jUz89B5cxvE3vy2tmI/ypnHzv5YH6u03OI/zf/NbxOd3V7SD4xOCE1UJKxeR/rsZjLu2hAUPH8jMjS/ym8lQWrM6UKd6/PywvqR43UwqzaR6VPhKIT9LCmdy308mkW7dA4kIc8YV8eoVU/nyt7O494wJ9MqKbbGcv+9hgc/9vnuDASuD8SyW9/0RYyMClA8rCCrf3+o/nwa3s3IqtWIjvVe8zBffbKW6roHyv56N57PgBIFJyiBt6rEUnH8nfe5ezrBH1tDr/+5n7zOuwDX/Oh6c9wzflgSDsmIM1AUnbepKxrD90jeoHe6Mh6IsL6W5zjklexM4ZpIz4fds1mx2JDi/J57aCoZ+5cTrGL/iSXLqnIkxSfRSdO0z5J36GwovvIdIU2qD8MCgn5GWl8vw4gzuPmM82+rhfxMuDNRJ+O5jPF8EJ2LuKDiNg2dMJO+UGwN5icvewL12KQlLniGr0onbUY+LPxeeBSLMnVBEUd++pO97FDVj5mDS8gIrKWrGz6c+x1mNJg31eBY/ijckeLGnzwi8fZyVYamT55BYUAqAy9Rz8MsXhbmHCiX1gbMDn6uTc/EUlNIvPzVm3VAKF/yS6uP/yAslP+axQ+5l8diz2VxWSYZp4A/HjWzUiODw086g3O1cE6mtxPOBEwDY5RKGrnuLwg1Bl2DVE+bHndxsKUdPLOaT3H35efF1PJF9BH/NP42fDLiTn+w4gjWnP0XVfqeH1W9Iy2Pl8feRmOMo4gvTvAwPGe/Prk8iY1Zw5ZXno+dIfuFGPF+8Qo/VbzP8h+Bk+xZ3Fv/J+hHj++aEBWtuDarUB8QZYXcCZcCzTVS/B8gD/mSM2csYMx8YBPwD2BtnYiCSK4DJwDvAQGPMfGPMROBiu697YrRRFEVRFEVRFKUNaUtjGxHJARYD5wN1wNNAOXAe8J4tb3NEhN5/eIuS25bQ49KHmm7QDRicn8K0flkUZXg5dUJ0MNr2IjfNy/fe8OMZl5u8/kOi6rpdErD0NRmFmPQCfJ7wv9ue/tHW9puz+mNcbvbvl8WYXo5iY2NOuAJ/e3pvfE343c0eGHtVwYo+M/l0yLyo/LqSMWxJyKY014fbJXgT3bgSXNQOnhZVd13v/Tl62l7MGJbPu6lBa9SizUFlCwP3RkKsh48c14uslES+9vZjbUrQSrPos6dYU1aFx65gmLH0bly1lQA0pObSc/7FAQXQPrNmsSklGEtg7/dvDXzeMuTAQLyHjCRHNtUTgkpq9/rlrPnwLc4+oD/eBDdFybVI2Vq8/70b75KnAvWe7H0qpx20F95EN8WZPowrgSXz7qa270QA6rOKKD/zIUYMG8CBexWGKaeGFWVw+4KxJNgJpA3bq3h3edA/+uaDrqIhI9w9lispjex5lwKwo6qOrTurqR0Z9F3u3vwtrgrr6zshkZQQ/9EpMZRZKzYErZxH9s7klh+PZsHlV7Kzd/A6GZebnQv+xuebajloRCGv/3wqVx0xlP9kzOD7xGj3XffmncSsUY7iSkTIiQhUvba8mhDPL/RMdyYWs3+0IJDXv3olf5pUwwgb5BhgyYgF1Cd4SXQJx07ozTNZh1J+0UuUX/QS1fucFFCe+oPcpsSYxOiVFXSO4HYJMmQKlXaFQKKp5Z2H72bLM8FxsmjMWdxz1LNUSfg5NODi1XRHSTyxXzYn7FNCRnIiNx4TvI/e/2ZrwMIe4I0vN3L0re8w4vJ/MfVXr3Fv1VhcWY78TG01mxZewcAvnw62H3UqFz/6eeB7n7wUbj1xNCmZWaRPPyGQP/5bR0bu1R+S9uejAu6B0nesxX3vuYy8N6hYdw2YSEN++M9Uui8BX4KLE485EndEzBWA03/+80ZXQjXGxCOCPs8zaraQWuH4dm8QNytLD2B0r7Sw+gVpXvKs66TK5FyW9QmO38GfPMxdr69kyva3mbopODlQs9csyn7xMZ6z7yXzoNNIKOzL5h21fLupkjVbqpg1KJfL505h6m0vU3jBXSTkBJ/JxptKxSGXs/2CF2jILiY3NZGRxWkU5ySF3as/nlKCS5yVEs+nByeC9lr6CJs3befAjUGL/8zDzw0owTNmnkTPKx6jPiUbgFq3j1f3uxbXPoczbnghffvlcuMb37Kjpp71+SPYOjQ4Cefng5TRfDtgNqNKMkkeNR1Xn+DkrvethYz76u+B72+k78eGxHxE4GQ7MZrmi/HsdydQPen44H7efQjP4mCg7Y96Bs9R3AlkHn5e4Hvhhk8Cn1dnDuWCkt9F7x/4rnAiU4cVNGtVn7hcjDjhfI7+9V9J7juJzPp6Tp/Qi1uOHxV3ZV2gP7kZVI8Lujbz/u8+MAb3mk9JeTAYt6Rm6AGY0jH4mpjYby7pSYlcP284H6WM5K78U3k6+3BWViXz4bdl3PrqKirm/YZtV7xNxZxfsvPYm9l25SIG7L1f2D4OGRJ0KfT99mqWTrmIhLxo93mh1HtS2HzK/dxyxjTKKuqbMCtvGlXqO5wG7IejZC+LV0lExtt6G4DA+hJjTB1wFlALnCsiiSFtEgH/Gr5zjDE7QtrdBHwC7Cci8ddTKoqiKIqiKIrSFrSlsc0fgQHAU8Agu6/hwK1Af+CmNu15CJKQiK/fqDAlandGRJg7opDLp/dlSDOsBtvyuBXZ4W4DGnL7kJIaW0EW6fvfr2z24ysehPGG939D7lCGFaRQlOGjR5qXXhlevi3el7UFIUFrpx3RZF+njx1KtTc83sIqb292JuexvN/BbEsLX4iysGEyf3n5K0rzUgJ5s0f34quCKUSSf6hjsThvQjGLQpT6ofSaMCP8XD1ujptcAiL8MyU4UeBZ/AhDsh3FbM8d39Ln46BrFjn0YjKzgysFXC4X/Q75cczjZe0zJ/B5r2LHWrght5TakGDFfZY9y0ElLtb++hhSLu5D1lXDSXk86Iqipng07xfOZNZIRzE7vNC5NmslnfILXqDs6vfZds0S6gZMIS0ptnXofoPzuOHoYKyEf38WVAKbpHTKT7ufhkzr6zwplZ5XPUVCZj4ffLOFg3/3Jl98v52GrCLqSqLd0SQP3w9XclBpmuyNvt9XbigHHMXfrSeOxpPgwuV2U3jVP9g553oqp59D+U+fpq7vJDxuCfhNP25yCYXZafym58/C/Eo/n3kQW0omM6Rn8Lg9MsNXA30XsuqhR5o34O/e23sIvkETA2VZ956Cp9JxLVObkMQXA51gxkePLGRIYRqDeqRRVx9upZridQcCXMeyyM2M8PE/uDCDlaXBsTfhjWsw5Y67pZqEJD4afgLL6vO5veAnAeU0wEM581nncSYuLps9JKC4nDwglxkh8UZufO4LquvqufO1FSy4YzHvrdxCeVUd326q4JZXV/NkRnBCZtu/7gn4/i5PKeSt7BnsrHas9tN8Cfzt1HEBa/msQ0Msope/T9rqxaQuPB2pqYg651DyjvhpVF66dZEkbjdpU8LjPqRMOJTk0tixQZqDLzufiqLoFUbf95rIIROHkJkUHXPBfx8BfDo0uKpg4OYP6F/1NT/ZEHQBZvqOZ8cp92KS0lmxoYKv1u3kg1XbWb6+grVl1Xy/tZov1u5k9aYq6hsg40enUHzPCqqufJNtF/+brb9eRtVBl5CdkcKo3mkMKEyJuaKlKDuZg0Y49+HzWbMCvuozt3/HuNeup7DWiTuBy03WYeEuuNKmHEXfe77mteMe464T/8vng4MyDo1rALBmxmU02AkAgMrM3vyhxwXMnVgccFGUeUhwJY3vzbvoWxmMN/F4trNq54BhBfSxz2ZPgivKBV2yx0X5uKMxdty6N32De4uzmqMB4Vc/DOPZJcFA6RkHnoKkRdsZ3Jl/Kl8mDebD5JFRZUuzxjOtCX/6kfTKSuLigwfxq7nDmdHMCQGAsSedH/ic8N3H8IvJpP/hQFw7ndUTJsFD5eyrSfa629R14OFje3H93OFkp4RP+n21bjvVtfXU9xhC1fRzqJ58IiY5kwGF4b/fvbOSGF8cXK3yj1W1rLngJSonHM2OjCLqSsc5k05H/IrVY0+m4rBrKL/yHXJG7ENSG6042DPeAhtBRAqB3wKvGGMebKK6fz3Tc8aY6tACY8x64E0gC9gnpGgKkAmsMMZ8SDRP2O3sGGWKoiiKoiiKorQBbWlsY/9DHI9j1HO2NfLxcwmwETheRKLNJpUuRX3BgPDvhYPjWh5GKngyIhReiQkJ1PcI98f/Ta99OGovZ5iICJN6Z1Kf4OWJw/7OE7PvI+Oyx+m14BdN9tOX6Iae4ftekjyKghQP9W4Pb04KKrPfTRnPk8kzmT40fHjuVZzBB7n7UVsa9Ce8vecYhs1ylFhTh+RRkTcwEOgzlJQR+0flnbhPCYlu4dX0/QOBFN1laxmw/j2y3LUc8uaVAb/nDVm9KJkb7c8+a9r8qLyaxBSGTg8qU9N8CWyvdJSpNROC9WdseI4frphO+X8fg4Zw5bHxpvLRQb/nunkjA0rkcUXOpMjmiloM0JDXF9wJgWPEY97EYn4603F/9NW67VSEuKapLx1L2c/fJf3SJ+l793J8I6dz23+WM/+2d/l+ayXfbXGUuDWjDovab8r4WWHfvQkuIjzhsGLDDkrzUrjrtPFh1thZ+flUTz+byjm/pG6Ao5742ayBeOzEkyfBxY+nlLAsaSDnl/yBR7PncnXR1dxacDazRvQIU5x5E1wU24mYJI+LDRWOrBNcwlEjwpV+GTODPuvrt6wLfC4fcSgj+xdxwb4lATdTR08sYuWGcH/qCW74ZuNOGhoMS7/fRiSRirB9SjNZEWINHsryfgdT7cvkutmD+bzPYVxWfD2vpe/H3/JO5kHreuhHexUwqiTcW9rlhw0JrL74bksls3//Fr9+9suYx3gwcQZVrujQim/2O5ZFy5z+i8AfTxhFvxBXHd4+e5EUEvAz8XcHBXyZN4ibNyf+jG09wxWtScOmkDHtuLBA4YluCZs8zFtwA0l7OfeiJHjIPf7qmP1uCX0PPSkqb9QRJzGtX3aM2jAsRPG5rmAMm7KCz9DbVl1IrnVzQ4KHXpf+HVeio1BtMLBlZ23UcxRgZ3U9n3xXzrqyKr5aX01FwTDqS8dBoo/ibB8DC5ObVJKee2B/RGBDYj6LUoNxLGZvfT7wOXXvw0mMYWntS8/kxPlzGNW3Bz3SvJRm+aJWzpRk+RgzbjTbf/YKlTMvpGr/M7h70u3s8OUyb0JwnznTj0OSo5+hHySP4hufY51/2tTwyeTI509+uhdPQW/qBoZbjgN8nDyCzYk5XPjAR1z04Ec888H3bKz1UHD678PqLel9CO+7HHdqj+SEr+Yy4uLDlFHs3b9dFhxG4eszgtRJwWdg9uavAi7SjAg7T/gz9UXDY+90cb8AACAASURBVK5W2lWO36eEd66dwb8v3Y8Hz57ImNJMausNn34Xbu9dWVMX87d/3ojCQDycBgOPfQt/G3UN9x/7b8ou+hdVB11C3YyzSF3wB6pmnk9DVnCCXQB35EO9hezxSn3gT0ASjqV9U/ifqkvilC+JqNfaNoqiKIqiKIqitC1taWwzC+e/1H+tcU8Aa/zzHE7crVkx2ipdiPRJs6nxOFbLxpdK/fQz4tbNDAkqKgIJEX/W89I8NKTkhuVJn8kUpAUtofcuySAnORFEKJ44g8L9jwq4mWmK5InhiuF3Uycy0SpQV/Y5gKdn3cFfep/P9UWXY8TF7DHRrldOnjaA3xX9jM15w9mR3Z/CC+4MKHgT3C6OnNCbT5L3CmtjvCn4+kdb8+Zn+Dh0dE/KErJ4LyU4V5b5l7kc+8xxJH0X/IucfvqfSEqJXgHhKRmGb/CksLy6SfPw+oLW5SJCuvW/XjP6CEyio2QV00Dt98ui9lnbZwLbz3+O7L5DmBSitMpP9dA3O4naBsMnIcrm/HRPQBkej4tmDeS0qX2ob4hWBuFL49YN/fnvWvjxXxbxhxeWUW8Vl2v8Sv2R0f7QUyccEvZdRMhKCU4UJXtc3HXqWF65bH8mRChYfYmuMDcVxdk+vBEKsSPH9cLtEtZ4i7k3/yQWp44HEQ4aGR18uyjbx/g+GYwsTuO0CUVM65fNz/YvjVo5k7bffCQxOs7HiLmns2BcLwbkBq/xlEF5/LCtMqzedU99zvQbXmff61/j9Lvfp6YufDIm0no/J8VD/sSZVHvC3cAAfDHwcArTPAzvkcbvjh3BJykj+E3PS3gy50iMuHAJXHxwdNDrfvmpHDc56PZp+frgWCjJTebOU8cFAn/ucKfyaHa4dfz2xEzuqJpMg/XHf9GsgcwYFj2/m3lIbBXUp0Pn8+HIk1l/7tNkHn4uviF7kz5zAT0uexgRoW9+EtkpifTM9DKiOC0wKQXgSk6j+DevUnLbEvrcvQzfwHExj9ES0mf8GPEG7zdXcjpZ+0e79PLTPyc5GPtEJMxaP5TsI84nrfdABvVIITIEiksgJzUx7JnaYGDVpip22NUP4AT5Lsr2Nct6e3DPdA61bqWey4p2kwOQNfucuO2TPW4WjOvFlQf05ZKpfbj+oP4cP7oHE4ozmDM8nwv3LaFnlo/6nN5UHnYVSyZfzvOrDIeN6Ul2atAS3JWUSsaME6L2/0SOY6U/ojgjEADcT3bIfZ+ZnEBhhoeemV7Kxx1DJO/mOStXGgz84/3vueCBj9j7F69w5pcDeG/s+XyUOYHHB/6Ua1PPYPKAHN66ejqbiybySbozVkyCh8rDrqa4Tym+dlCixyP35F+HjTOAhrR8ys9+kpqxRwGxXXK1BZ4EFwMK05g8IJd7z5hAj0wfby/fGFanMCN2/KIUj5uz9i6OmnCoazCUVdVF1d9cXkXPTA9DeqYwrk96VMySltK4Y75ujogcCswDrjHGLG+qPuB/sq+JU74mol5r28RFRD6PU6TBdhVFURRFURQlPm1pbNOcfZ3SzH0pnZiZU8dz1icPcuygBLL7DmXEwJ5x6/bI9LKpvJb6BsPgHilR5cleN74fnU7D544/6a+KD+TsQ8J94Sclurl8eh827KihODPaArgxSo6/lJPerGBkxaes8pawMnsM+5Rm8srXW9hZU8/HaWN5J9np//CidPoXRCtCB/VI46bzD2dn1aFRfqkBjpnUmz8+PYr9yt8O5KXstS/ijq1aOHN6P5754Hseyz6SiTsWB/IT1i4NfHZNPZle0+bEaG19uh/7c76/xs61JXgYftq1UfUm9MvmN899RZ+CVJIK9mPImn+HlWcdeSFy5DV8vaESrNJ5n57R1+ikcT35z7LNlGQlMaF3BvUNpkmFvr+fPz98KOP6ZPPPj9YxsX9w8mZbRQ0Pv7Oah99ZHdamV1YSl88eTE29syqgduB+JC5zgilmHHQqnqIYCueCZLJSanG7hIzkBFxxlJkiwsDCFNZvqyYjOYGcVE9Unbx0H9OG5vPyZ8F5yd45yYwozoiqC8FJqsH5KQzOj5YdgDsti5SJs9nx1hPBdjm9SB4RHavB7RKGRwRa/Wqd405o7VZH2b94xSamDMoHDD0zfU5A6giOG1/C4sEH4P0k6L9/W1oR5UVjOW9CESLC3gNyOfuAftz+8opAnQsOGsiAwuh7AOD8Hw3k6Q++Z3tlUCmXk+rhwbMn0SsriZnDCxhelMHFD37ME9lzGLtzCcMrl/JDYj439ryEamu9f+KUEs45IHYQ69TJc3Cn51K/PRiHoTYhiUVjHdc8BTmZFPzklqh2Kd4EBvWIr8oTEXz9YgfHbg3u1Eyy5lzIlkduQJJS6XXd87hT48eCT3S7OGqvAh5Y4qzUWDHoMCa/+3u89UG3TfWeFLKPdmJLZCYnMqI4jY3lNdTUGdJ8bnJSEwNBYTfvqGHFhsrARJifgnRPYAVJczn/oAE8/9FaPkwexZrEnhTVrg2UeXoPJWnE1Gbvy+N2Mbk0M7DyxDl36JOXxN/fXs1zS9ZwxLheXDY7Osh51mHnse3l+zGVzoTRSl9fPkwehQice+CAqOduTmoixiRT32DIT/cgIvRI9/JA9hQOziwmqew7AMTj48xLLuDjR5azalO4K6dFK7eyiAOg8AAA+uWmcPuCsWQkJ3LD/BGcevvlXDmzgoFjJ7JoAxzcO3o1QXvi7T2E4l+/wvq/nEvt98tJ228e2w66nDq3M2HpEshMiXb31NakJyVy20ljOOXOxVRU15Hsde41fxDtWBRn+rh0aikvfLmJz37YQW2DYWBuMqU5SWyvCFfs/2hEfpNxBlqCxIvm3d0RkVRgKVAJjPC70xGRhcBJwLHGmEci2izD8Zs50xjzcox9ngb8DbjTGHOmzbsTOB34lTHmyhht+gPLgWXGmOhf7ej68ZT6g71er6tfP9XtK4qiKIqidCdWrFhBdXV1uTFm9/7D6maIyE3AhcAfjTEXxSgfCXwELDHGNOqCR0SeAuYA5xtj/hSj/HCcwLlPGWOOakbf9B1/D6Ju+2YaamvxZOWBq20tD5f/ELQqTvG56ZmZRL0x1NUb6hsMa7dWYgz0zPKR4m2djV9ldS0NG1aRaGox7kQ8eUWIJ77CY8P2KrZV1JFTt5nUhp3hhckZeHJ7Ao1bK9aXraehohx3Rh6ulNhKZ2Oguq7eCby7KahAF08SiYWOW4uq2gaMcQ6X1EYBF2NRWRO0MK+oqWPLjpqw8lRfAgUZXlwiVNY2OMESTT0JNTtJ8PmQxJYpK1vLjuo61m0NKluzUz0xJwBaQkNlOXUbvwt8d2cV4k6L7arFGKioqcclQnVdPRu3V0fVyUhOJC/NS2PG2A0V26nbFLSj3J6QQXaPXlEW4OVVdZRX1pLkSQhb9RCLypp61pVVUt/gTGj0zEqKiptRWVPP2rJKGhoMCaaOOknAP5Zz0jxRvrojqS/bEK7UT8pkuy8Htwh5qZ4m7ordi6mpRNyJAZdUTVFV10BlbT1JiW7qNq/FU709UOZKzyUhs/n+2o2BmvqGgBetBHcwMHlL2VheTdnOWtLqy8mu3xrIT8gtwhXDLU57YWoqqS/biGmoQzILqTAeEt3SIl/r1XUNVFVV4Sv/Aamtwp1ZgDs9B4MTiLuiuo7Kmnpq68P1vm6XUJyTFKZc9j+n/UHfWxtcuS0xQJ3te4JLGn0GtDVVtQ3sqHKeFZ4EV6vGm7H78QfDdbslyjJ/V9/xu6ylvog8AQxvYbMTjTF+84AbgGJgRqR//MYOa7fxZkJiXeXWtImLMWZYzJ2I/FBdXZ28dOnS72KV7yb8/zZWNFpLaQ0q2/ZF5dt+qGzbF5Vv+6GybT9Uti2nGGg8ep7SHPx+IuLJcmdEvd21r8ZoqK6u3tnB7/hKe7F+S+i3Nn82lgFla2OXfbsldn7LqYVt3zSr5g+xMndsgw3RvtPjUvY98H2T1cKphC1Lm662G9kKbI1zbSwd8lu5fgusb7pay9jxA3GufrPYtAU2NV0tgm1sKIs/rsqAdXFLo6kFVmxsuk4oP2xpxVnvKMPpXdg5d7/3ph2bYG3Lr2pbssWmADviOdfYDWxZ1ZLa8cfDjvU05w6uBZbHEX8tUAUsbfMHgRKHXXrH77JKfaAUaNKyPYJkABGZAJwD/N0Y82oL2pfbbey1Znb/QGi0l9a0aTHGmGjHd7sZv4VRvIkHpfWobNsXlW/7obJtX1S+7YfKtv1Q2SodSFsa2+wWwx1lz0GfjUooOh4UPzoWlFB0PCihdFmlvjFmVyJ+HIwT2GovEXk9oszv8OpqEfkJ8IQx5jabtxoYDRQRm6KQekR8bkkbRVEURVEURVHalrY0ttkthjuKoiiKoiiKEosuq9RvIxqLHjLEpo9C8j4GDgfGxGnjz/8kok1oWXPaKIqiKIqiKIrStrSlsY0a7iiKoiiKoigdRvtFhunEGGOuNcZIrATcZ6sda/MuCGn6vN3OFhFv6D5FpADYF9gGvBVS9LbN6ycio2N0Z67d/nNXz0tRFEVRFEVRlLi0pbGNGu4oiqIoiqIoHcYeqdRvLTbI7ttAPvAbf76IJAC3A4nArcaY2pA2NYDffc9tIpIS0u4iYATwljHmvfY/A0VRFEVRFEXZY2lLY5uXgAZgXxHJDy2wxj+zbfmLre+uoiiKoiiKosRGlfot52RgM3C+iHwiIo8AXwFHAouAX8Voc70tmwwsF5FHReRd4A92Xyfvlp4riqIoiqIoyh5Ka4xtROSnIvKliPw6Yl/rgIcBD3C7NfLx81sgD3jIGPND+5yNoiiKoiiKsicjxpiO7kOnQkQWAifhuN95JE6dYuA64CAgG/gO56X+BmNMZZw2ScDlwHFAMbAVx8LnKmPMd218GoqiKIqiKIqiRCAiPuB1YCKwDngTKLHfNwOTjDFfh9S/FrgGuM8YsyBiX7nAu0A/YAXwPjAMGG6/TzLGbGrXE1IURVEURVH2SFSpryiKoiiKoijKHkNLjG0aU+rb8izgF8ARQAGwHngGuMYYs6X9zkJRFEVRFEXZk1GlvqIoiqIoiqIoiqIoiqIoiqJ0EdSnvqIoiqIoiqIoiqIoiqIoiqJ0EVSpryiKoiiKoiiKoiiKoiiKoihdBFXqK4qiKIqiKIqiKIqiKIqiKEoXQZX6iqIoiqIoiqIoiqIoiqIoitJFUKW+oiiKoiiKoiiKoiiKoiiKonQRVKmvKIqiKIqiKIqiKIqiKIqiKF0EVeoriEiyiBwhIneLyCcisl1EdorIxyJytYikNtL2RBFZLCI7RGSLiLwgIpObON5kW2+LbbdYRE5q+zPrnIhItohsEBEjIl82UVfl20xEpFBE/igiy0Sk0p7/ByLy2zj1DxWRN0Rkmx3zb4jIoU0cY4iIPC4iG+0xPhWRC0WkWz9LRWSSiDwpIj+ISK2V7SsiMjdOfZeIXGDlU2nl9biIDG3iOC2+Jp0dERkrIpeJyFMi8r2976ua0W633PsiUiQi94jIWhGpsvfPdSLia+m5dgQtka8dl/uKyG9FZJF9DleLyAoR+auI9GniWHuUfFs7diP28bJtZ0SksJF6e5RsFUXpPoiIT0R+YZ9BVfaZdI+IFLViX5kicrOIfGt/n74VkVtEJDNO/UH2PfQREVnZnOet0r501HgQkUQROVBEbhPn/88Wcd7BvxCR34tIXtucodJcOvjZsMA+F76wY6HGHv8JaeL/hNI+dOR4iNHeIyJLW/Nur3RCjDGa9vAEnAYYmz4DHgNeArbbvC+A/BjtbrLlFcDTtk0tUAfMiXOsOba8AXgdeALYavdzU0fLYjfJe6E9fwN82Ug9lW/zZbp3yHl+DjwKvACsAupi1D/P1q0FXrTyrbB558U5xiRgp62zyB5jnf3+BCAdLYd2ku08oN6e53vAI8B/Q/JujKgvwOO2bKuVzet2TFYAE+Mcp8XXpCskex4mIlU10Wa33PtAP2CDrfOpHdMr7Pf/Ad6Oll9byhfoH1JnjW37lP1scH7zpqh8Wz92I9ovsG38v3eFKltNmjR1pwT4gLfts2etfRYtst83AP1asK8cYJltu8Lu6zP7fTmQE6PNzTGe03Gft5q673gADgi5/l8DTwLPAhtt3jpgUEfLaE9JneDZ8D7Of4cldhw8Bnwc8l52WkfLaE9KHT0eYuzjWoLv581+t9fUOVOHd0BTxyfgROB2YEBEfg/7Q2CAhyLKptv8TaHtcJSr1UAZkBXRJsvmG+DIkPwC+wAywLSOlkc7y3qGPc87aESpr/JtkUx74iiAKoih8AQmRHwfaF9yqoC9I/I32bLIeyEB5wXZABeG5KfiKJAMcHJHy6IdZJtAUHE2P6Jsb6DSvhD0C8k/xdZfBhSE5B9F8I9Gwq5ek66SgEuBXwCH2nux0Zen3XnvA2/YslsirvlTNv8XHS2/tpQvjiL4JWC/iHwvcK9t+y2QqPJt+diNaJtnx/C/cCZXYyqZ9lTZatKkqXsk4DqCk4mpIfkX2fw3WrCv+22bJwl5TwL+ZPPvi9HmVOBG4EiguLHnrabuPR5w3h8fAkZH5GfYdx8D/K+jZbSnpE7wbJgIpMXIPwznf1UFkN3RctpTUkePh4j2Q3D+U/r1UarU7+KpwzugqXMnHEWSwVG2eULyn7f5F8Roc4stuzgi/xKb/3SMNnNs2XMdfc7tKMskHCXF58AAGlfqq3ybL1f/D9tPm1n/z7b+zTHKLrRlt0bkz7P5H8VoM9qWfdrRsmgH2Q635/ZFnHK/Je/RIXmf27wjYtR/xpYdtavXpKumpl6edte9D4y3+euJsGrGUajWAFuIUHB39tTal1McCxq/cnl/le+uyRZ4EGfSrx+NK/VVtpo0aeqSCUgkuKpodIxyv1Xs2GbsqxBnBWQNIQYRtsyLY2BRF1kWYz9xn7ea9rzxENKmB0Er/pKOllV3T515LNh2/7HHP7ijZbUnpM40HnBW1L9p36GzWvJur6nzpm7tB1ppEz62Wy/OUh+sv9oZNv+JGG38ebMj8g+NKA/leZyJgwO6sT/ca3AUHGfhzJDHROXbfEQkCzga2Abc1cxmjcnpcbtttmyNMR8CK4HhIlLazD50FaqbWW8LgDg+yYfiKPOej1GvNWM33jXpduzme9/f5jljTNh1Nsasx3nhywL2aV7vuzbGmCqc1SXgrP4JReXbAkTkR8BxwK+MMSuaqK6yVRSlqzIFyARW2HfBSOL9ZsdiFk6su//a51gA+5x7DnDbekrnpNOOB2PMOhw3PBD9jqO0PZ12LFjq7bamBW2U1tOZxsOZtj8XG2O2NuN4ShdAlfpKU/S121qs4g4YjKPk32iMWROjzRK7HRGRPyKiPIAxpgbHF5gPGLQrHe6MiMgI4GLgXmPMf5uorvJtPvvgyOotoFZE5tqgMX8WkXNFpCC0sg0e09t+jfpRtfLeBJSISEZI0Ui7jZJtRP7IOOVdlZU2DRaRo0MLRGRv4EfANzg+9iF4/p8ZY2JNXEXJaReuSXdkd977e+qYjomIuIES+/WHiGKVbzMRkWTgr8CXQMwg5RGobBVF6aq05bNIn2tdn047Huy7dpb9GvmOo7Q9nXkszACm4eh1FjenjbLLdIrxICI9cNy1vWqMeaAZx1K6CKrUV5rifLt9KcQizq+Ai6V0whizE+v3WUTSAEQkHWeGMm67kPzeccq7JCLiAv6GI5P/a0YTlW/zGWa3fuvMx3HG7Nk4fuVWiMi8kPr+c99q5RiLWHJq9JrEadPlMcbU4wS73AY8KiLvicgjIvIGzkTKR8CBVvkGrZNTa69Jd2R33vt75JhuhGOAfBxLtv/5M1W+LeaXQClwVshzISYqW0VRujht+SzS51rXpzOPh3Nw4s58aoz5ppltlNbTacaCiJwsIgvt/7f3gJdxVkEeZ4zZ3ozjK7tOZxkPt+EYypzVjOMoXQhV6itxEZGDcQIw1QJXhRSl2m1FI839yrnUiG1j7SLbdBfOBSYAlxhjNjejvsq3+fitTk7Esfg8FSdAYx/gJiAFeMCulIDWybY57bqjbAEwxrwJ7I9jkT8OmA/sh3POLwNrQ6q3Rk6tvSbdkd157++xYzoSESkGbrZfr45w6aLybSYiMgZnUvU+Y8zrzWiislUUpSvTls8ifa51fTrleBCR0cCV9uulzTi2sut0prGwD3ASzv+3cTi+3U8xxvyrGcdW2oYOHw8icjhOQPUbjTHLolopXRpV6isxEZEhwAM4wTQuMcZ8HFpst6axXTTxvTltujxWWXQ9TkTzhc1tZrcq36Zx220CcJEx5h5jzCZjzCpjzMU4Puo8BFdItEa2ocRr1x1lC4CIHAssAlYDE3FeEgYCD+P8SXhZRBL91e22MflGHaIZbbqtfCPYnfd+U8faI2QuIinAP4BcnGCtf42s0pzdNJK3R8jXui/yr0j7WXObtbLOHiVbRVE6LW35LNLnWten040HESkEnsKxzr3ZGPNiC/qgtJ5OMxaMMacZYwRIw1Hq/wd4QkTubEEflF2jQ8eDXd19G7Ac+HULjqV0EVSpr0QhIkXASzhW0DcZY26JqFJutymN7CbZbndEtAkta6pNd+B2HKVyS5Y5qXybj/+8G4D7YpTfY7dTI+q3RLahn+O1646yRUQG4Mh1I3CIMWaxMWanMWa5MeZMnGA8ewMn2yZNydefHyqn1l6T7sjuvPebOla3l7mdjHoSGIvjTuq4GNVUvs3jAmAM8H/GmE3NbKOyVRSlK9OWzyJ9rnV9OtV4sHGoXsRxifc4Tmw3ZffQqcYCgDFmhzHmA2PMfOBZ4HQROaoZx1d2nY4eDzcARTiuMaujmyhdHVXqK2GISC7ODG5v4F5iW9ytttuiOPtIwfGTW2aMKQewPtu2NdYuJH91nPKuyKE4y6P+IiKv+xPwiC3vHZLvXyal8m0+q+z2hzg/Uv7yfLv1n3uWlWMsYsmp0WsSp0134BggESemRix/94/Z7VS7bY2cWntNuiO7897fU8c0EIh18gBOsOePgdnGmMrIeirfZjMbx2ropNDfOvt7V2jrPGXzpoDKVlGULk9bPov0udb16TTjQUSScAxvRgH/Bk4wxjQ047hK29BpxkIc/EFSD29BG6X1dPR4mI0TR+GqGO/oAJ6QvP7N6IPSyVClvhLALs15ERiMs1TvdGNMrKU9XwHVQJ616o9kjN1+EpH/cUR56LETgeF2v1+1vPedmkwcn+ShaaItSwrJS7B5Kt/m86HdZolIrKVrOXa7A8AYU0bwR250ZGUr71xgtTFmW0hRXNlG5Edek66Of/zFC6Tkz8+2W7+choe45AklSk67cE26I7vz3t9Tx7Sf24GjgWU4wZ7LGqmr8m0eghNvI/L3zmvL97bfc0PaqGwVRemqtOWzSJ9rXZ9OMR5EJAHHMn9f4H/AkU0FrlfanE4xFhrBv6IyrwVtlNbTGcaDj+j38/1tmYR817gtXRBV6isAiIgXeAbH19q/gGONMfWx6lprxlft17kxqvjz/hmR/3wjbQ7Fedi8YoypakHXOzXGGImVcAK5AnwVkl9m26h8m4kx5lOcAK5JBCdKQplqt0tC8hqT0zy7bbZsbQCqvsBSY8w3Tfe6S/GD3Y6LUz7eblcB2PP/Aud6HBKjfmvGbrxr0u3Yzfe+v81s+/wPICIFOH8Gt+G4pelWiMgNwJk4k0kzjTEbmmii8m0CY8zURn7vvrXVeti8p0OaqmwVRemqvI3zrOln3wUjifebHYuXcFxJ7isi+aEF9jk325arT/TOS4ePB2vgtBDnHfwjHNeZsVbaKu1Lh4+FJvArc1e0oI3Sejp0PBhjSht5RweoDsn7qIXnpnQGjDGa9vCEE2z0KZyl8/8FkpvR5gBbfxMwICR/b5zlPduA7Ig22Tbf4FgN+PPzcQJ3GGBGR8tjN8m81J7vlyrfXZblmfbcFgO5Ifljga22bG5I/iCgzspxUkj+ACvvOmBQxDESgZV2XxeG5KfgWMEY4NSOlkU7yHaMPTeD44cvtGwSzgoIAxwQkn+azVsG5IfkH2nzVwKJEftq8TXpqsnKoKqR8t127+MoPQ1O8DR/XgKOn3kD/LKj5dUO8r3I1lkXKt8m9qnybYZsG2m3yrYtVNlq0qSpOyXgevvMeRtICcn3/9a8GVH/p8CXwK9j7OsB2+YJICEk/xab//dm9Cfu81ZT9x8PwJ9s2RdAXkfLY09OHTkWgKHA6UBSRL7guFatwFH8ju9oOe0pqaOfDY30q1Xv9po6V+rwDmjq+AScT1Bx9xTODH+slBvR7mbbZifwNPACUAvUA0fFOdZRtrwBeA1neaBf8XpLR8tiN8q8lEaU+irfFsnShePb3QCbcXxIvobjssEAd8Zoc6Etq7Vyfdq+4IQp7SPaTA6p8y7wKLDWfv8H4OpoWbSTfH8X8nz4zMr6LTvODHBHjOvhnyTcYsfga3ZMVgKT4xynxdekKyQca6l3Q5KxsgjNOySizW659wlOmhicZZqP4Fjt+Me4r6Pl15byxfEt22Dr/I/4v3VTVL6tG7tx9rOKRpRMe6JsNWnS1D0Szmoi//NxLc67of/7JqB/RP1rbdnCGPvKBb625V/b59qnId9zY7QZE/FM9r/7fhCSd1pHy2lPSR05HnD8o/vf1/9N/HecwR0tpz0hdfBYmGrLtgGvAA/irHL8xubX04X/W3XF1NG/FY30S5X63SB1eAc0dXwKeWg0lUpjtF0AvI+jfCrDWRIUpRCJaLMPzpKgrbbd+8DJHS2H3SzzUppQ6qt8WyRPF3A2jpudnTgW5G8DP26kzWyclSnlNr0JHNbEcYbhzIpvwrGa/hy4GHB3tAzaWb5zcNxybcJRLm/BcRNzXJz6bhzLg89wFPmbcCxohzVxnBZfk86e7D3c1LN1QZx27X7vA8U4QdHX4SgDvgZ+SYR1T2dNLZEvwT85Lb4ee6J8Y9HeXQAAECxJREFUWzt2Y+xnFU1Yju5pstWkSVP3STguB6+zz6BqHNeFC4HiGHWvJY6ixpZn4Vhbr7b7Wg3cSsQKvZD6zfldu7ajZbQnpY4aD838zTbA1I6W0Z6SOnAs5AFX4Sj0v8P5z1qBs4r6bmBMR8tmT0wd+VvRSJ9Uqd8NktiLqSiKoiiKoiiKoiiKoiiKoihKJ0cD5SqKoiiKoiiKoiiKoiiKoihKF0GV+oqiKIqiKIqiKIqiKIqiKIrSRVClvqIoiqIoiqIoiqIoiqIoiqJ0EVSpryiKoiiKoiiKoiiKoiiKoihdBFXqK4qiKIqiKIqiKIqiKIqiKEoXQZX6iqIoiqIoiqIoiqIoiqIoitJFUKW+oiiKoiiKoiiKoiiKoiiKonQRVKmvKIqiKIqiKIqiKIqiKIqiKF0EVeoriqIoiqIoiqIoiqIoiqIoShdBlfqKoiiKoiiKoiiKoiiKoiiK0kVQpb6iKIqiKIqiKIqiKIqiKIqidBFUqa8oitJNERHTwrTKtiu131/v2DNoGSKyKuJ8LmhB2w47ZxEZFeNalO7ufiiKoiiKoiiKoiiK0jVI6OgOKIqiKO3GfTHypgD9gI+BjyLKNrV7j3YP/vNe2qG9aD5bCPb5IKCgA/uiKIqiKIqiKIqiKEonR5X6iqIo3RRjzILIPBFZiKPUf9oYc22cpt8DQ4CK9upbexLrvDszxpjVwAIAu1JAlfqKoiiKoiiKoiiKosRF3e8oiqIoYRhjao0xX1pls6IoiqIoiqIoitIFEJH9ROQZEfnWuvW8tqP7pChK+6BKfUVRFCWMeP7lRWSB/8VQRPqJyGMisklEtovIiyIy1NZLEJErRGSZiFSJyNcicnYTx7vD+sSvFpGNIvKEiIxoh3PLtcf6QUQqRORDETmxkfqZInKuiPzLvhhXi8hmEXlJRGbGqP+ZldHAOPsrFZEGEVkuItKW56YoiqIoiqIoyh5PKo4b0v8DfujgviiK0o6oUl9RFEVpKX2AxcBY4A1gFY4v+NdFpBB4ArgM+AZ4HSgG/iwip0fuSESm4Pj3PwPYATwLLAeOBN4VkWlt1WkRyQHetseqtcfaBtwLXBKn2STgTzjuiJYD/wC+Ag4E/iUip0TUv8NuT4uzv1MBAe4yxpjWnYmiKIqiKIrS3lhDjcbS6x3dR6V5iMjUGNcvswXtF9o2U9uxm22CMeYFY8zlxphHgep49USkLEIeC3ZfLxVFaQvUp76iKIrSUk4EbgIuMcY0WIvze3D8wr8CNABDjTFrAERkBvAy8HPgb/6diEg68DiQBMwzxjwRUnYA8DzwdxHpa4ypaYN+3wAMBJ4B5htjqu2xZuEo+GPxFbCPMeZ/oZkiMhp4FfijiDxmjNlhi+4HbgROEpGfG2NqQ9q4gZOBOmBhG5yPoiiKoiiK0v7cFyf/y93aC6UtWAG8ZT+3xf+LrsxDQDIwChjZwX1RFKUVqFJfURRFaSkrgEuNMQ0AxhgjIjfhKPWHAtP9Cn1b/oqIfAiMFpFSY8wqW3QKUAj8OlShb9u8LCK3AxcAhwJP7UqHRSQV+DGOQv08v0LfHutFEXkcODaynTHmG5wVB5H5H4rIn3EmKqYBz9n8bSLyKI7y/jDgyZBms4BewFPGmPW7cj6KoiiKoijK7sEYs6Cj+6C0GW91pespItlAdhPVthtjNrR038aYs+0xrkWV+orSJVH3O4qiKEpLed0YUxeRt9Jua3Bc8kSywm57hOT5fdI/Hec4fiua8S3uYTRjcFYELIoTAPjheA1FxC0iB9pYAn+1y28X4ijzAQZENPmr3Ua6G/J//xuKoiiKoiiKoiiNcx6OC9DG0m87rHeKonQoqtRXFEVRWsr3kRnGmJ324w9+C/4I/OXekLxSu10Uy08pjm9+gNw26HNPu42l0I+bLyJFwAfAv4BrgDOBk2yabKulhbYxxiwGPgRmikiJ3U8P4GB7nH+3+iwURVEURVGUToWIlPp97ItIuoj8QUS+EZFaEbk5Rt07RGSViFSLyEYReUJERjSy/6NEZLGIVIrIehG5X0R6xvLzHuI7fmGcfcX1Dd+SvkWcc5KI3Cgi39p2X4vIpdZFZ6w+9BaR20RkuYhUichme35XiEiSrTPe7v/tRuRyja1zZbw6LSWerBupf4iI3CMiX4jIdhHZKSIf23PxRtRtzTldByQ2kSJjfCmKsoeg7ncURVGUltJYgNeWBH912+3jQEUj9Ra1YJ/x8P+paGlw2rtwlqM+BfwGx8d+uY0lcAZOYNxYf1juwLHYPwVnMuBknN/cu+NMeiiKoiiKoihdmyScFasldrsE2OovFJEpODGj0oHPcWI69QKOBA4WkUOMMa+F7lBEfgrcCtTbfW4CDgDeBT5uq463pm8WD47ByjBgMfAFsD9OjKk0IEzhLiL72X1n4Kz0fQZIwXHh+SscP++rjDHvicgHwGQRGWaM+TxiPy6c9+t64N5dFgCtlvXdtv+fA5/iyG+CPZcZInKgMaYeoDXnZP836H8HRVFiokp9RVEUpaNYAwwCrjfGfNLOx1prtyVxyntHZohICo6LoPXA0f4X8hD6NnK8B4HfAaeIyC+BU3FeyO9pSacVRVEURVGULsME4B2grzGmLLRARNJxDFmSgHmh8aRE5AAchfrfRaSvMabG5pcCvweqgYOMMa/b/GQc95WHtkWnW9O3EPYG3gQGGmM22TbjcORwoYjcaIzZYfOzcFbiZgAXArcYYwIGN1bhvzVk33cAdwKn2fqhHIjzXv+cMSZqFXFL2QVZ/wT4T8iqZUQkDWdy4lDgeOD+kPrtfk7ixBLrb796gEIRGQXUGGOWtna/iqJ0PtT9jqIoitJRvGy3R+yGY30AVAETRaQ4RvkxMfIycH4n10Uq9EUkAZgT72D2z8tDQBGOcr8v8GJoAGFFURRFURSl8xPLTaRNmTGqnxep0LecAhQCvw9VmgMYY14GbsexjD80oo0XuN+vZLb1K4BzafkK1Hi0pm9+GoDT/Ap92+Z94EUgGRgXUvd0IA/4pzHm5lCFvm33X2PMtpCsh4DtwI8jXdngKMWh7WJVtUrWxpinQxX6Nq+coML+8Igmu+OcxuG4Av0QJ57ZmfbzC7u4X0VROhmq1FcURVE6ijuAjcAVInJypN9NEUkRkRPF8Wu/S1gl+4M4K9RuCX2JFpEDgaNjNNsAbAOGi8g+IfXdOAGpBjZxWH/A3AvsVgPkKoqiKIqidD3ui5MirdbXWYV2LGba7dNxyt+y2/EheVPs9rHIysaYr3AUtW1Ba/rmZ5UxZlmMfH9ej5C8A+z2juZ0yirLHwRyCDGmEZF84DCclbhtpahutaxFZICInC8it1r/+guBq2zxgIh9tfs5GWNeN8ZIjFS6K/tVFKXzoe53FEVRlA7BGLNVRObg+NW8B7hGRD7DWfbaGxiC46NyNI6rnl3lMhwfn3OA5TZIVYHNuwM4K6J/dSLyWxyfmG+IyKvAFmCibfdn4JxGzu8jEVmMsxR7Hc7SZUVRFEVRFKULYYxZ0MyqqxspK7XbRXHix/rJDfnsD9Aab7+rgTHN6lnjlNptS/rmJ947+g67DbVG96+WXdHsnjlGMmfhWPk/YvMW4ASIvSeGe8zW0mJZW4Ok3+NY5ccTXFqMvN11ToqidHNUqa8oiqJ0GMaYt0VkL+Ai4BBgOk5wqLXAP3EC1LaJ70djzCZrcf8rHEuYI3CsiE4HXiVCqW/b3CAia3Cs7fcBKnGsla6meX+iXsFR6t9rjKlri/NQFEVRFEVROiVVjZS57fZxoKKReotCPvsVxW3lZgdie2toTd/8tKZvzW5jjPlERN4FpolIP2PMCpxYVQYnSG1b0RpZz8f5D+P/r/AOsNEYUysiHhxDpShl/248J0VRujmq1FcURdmDsJZGC5qos4rYL6ALgYWNtItr2tPYcY0xa4Gf2dSuGGM24CjxT49RHLP/xpj7CQ9w5ecTGpGHtd45Cn1BVxRFURRF2dNZAwwCrjfGfNLMNmtx3D2WAMtjlPeOked3CZQaZ5+xYku1pm+t4TtgME4Q1y9b0O6vwCTgVBH5F45M/m3/s7QVrZG1333OWcaYf0aU9W3ieLvjnBRF6eaoT31FURSlWyEiC206sIO7MhfnBf0FY8zKeJVEpLe/zzh/dBRFURRFUZTuxct2e0QL2vh92c+LLBCRgcCoGG3W2W1U7CcRySH2StPW9K01+I9zxv+3d+8uclZhHIB/ryh4AW8IIlgIgoWX0oA38AJ2GisLC2MMKIiFjYgWmn9A8IYQCSbBwgtGMLEUc4FUoqQQBRUtbLxbiKYQfC2+kSzrJLozszt+y/PAMMvunO97z6mW35zvPWsc91aSXzJsEPr7ydpFn1U1y1pfNHn/Zsrfpp3XtdJGzAnY5IT6AGw22yavq5dx86raXVVvJ3ktQyuhp/9lyMU5WfOl61weAAAbb1eSH5I8VVXba1Xz+qo6r6rur6rLV/x6T4ad9/dX1S0rPntOkuczJc/p7q8z9H+/rqq2rrx+htD4/AXVNovdSX5McldVPTrlPrdU1QVT5nQiw1Ozl2VoefNDknfnrGW1Na91Th4G/NDKuUzGP366m23QnIBNTqgPwKbQ3Vd0d614PbekUnYk2ZrhELB7u/vj0324u4+vqrs8egsAsHl09y8Z2rX8luTVJF9X1XtVtb+qPkzyXZJ9WXEY7eRJzyeSnJ3kUFW9X1VvJPkyybUZzp+aZufkfX9VfVBVBzL8X3ptkgOLqG3GNfg5ww72X5O8mOSLqnqzqg5W1VdJjubk7vfVdq34eW93/zFPLVNqm2WtX8iwZo8k+aSqXq+qo0mOZGiv82/WdU7A5ifUB4AFmoTyZ3X3Nd39zrLrAQBg+br7WJLrkjyb5ESS25PcmWH3/HsZdmx/umrMcxmC8ONJbk5yR5LDGfqx/3SK++xJsj3JZ0luSrIlycEkN2Ro+bKQ2mbR3YcytLJ5JcMZj/dM5vJ9kieTfHuKcZ9l6HufDDv+F26ta93dnye5PsPaXpLk7gxnGTzc3afdqT8Zv+5zAja36l7kQeoAAAAArKfJeUzbktzW3YeXW836qqobkxxLcqS7b51h/K1JDiXZ190PLLS4Gc07pwXWsTPJM0m2d/feZdUBrN2Zyy4AAAAAAE7hqcn7S3Ne5+bJlyFJ8kh3/z7n9eaxqDnNpKpeTnJuph8CDIyAUB8AAACA/43JTvYdGXrab0nyUZJ5W1teOXklyWNJNjTUX6c5zeq+JP84mBgYD6E+AAAAAP8nVyV5MMPBugeTPNrdf85yoUl7olpcaTNb2Jzm1d0XLuO+wOLoqQ8AAAAAACNxxrILAAAAAAAA/huhPgAAAAAAjIRQHwAAAAAARkKoDwAAAAAAIyHUBwAAAACAkRDqAwAAAADASAj1AQAAAABgJIT6AAAAAAAwEkJ9AAAAAAAYCaE+AAAAAACMhFAfAAAAAABGQqgPAAAAAAAjIdQHAAAAAICREOoDAAAAAMBICPUBAAAAAGAkhPoAAAAAADASfwGiK5fjtbxftgAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from maelstrom import Maelstrom\n", "\n", "ms = Maelstrom(lc.time, lc.flux, max_peaks=3, fmin=5, fmax=40)\n", "ms.first_look();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that if you want the frequencies `Maelstrom` has found, simply call `ms.freq`" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Oscillation modes are at [19.47767606 21.71213419 30.80189468]\n" ] } ], "source": [ "print(f\"Oscillation modes are at {ms.freq}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To read off this period, we can calculate the peak in the power spectrum of the time delays (the bottom left panel above)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The orbital period is around 269.96 days\n" ] } ], "source": [ "period_guess = ms.get_period_estimate()\n", "print(f\"The orbital period is around {period_guess:.2f} days\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is pretty good for a few lines of code! In fact, the actual orbital period is closer to 272 d." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's now perform an initial optimisation..\n", "We first need to call `setup_orbit_model`, but an orbital period estimate is not required (unless the time delay signal is very weak..!). We can also pass along an initial guess for the eccentricity, but let's leave it at 0 and see what happens." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "ms.setup_orbit_model(period=period_guess)\n", "opt = ms.optimize()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'logperiod': array(5.60521922),\n", " 't0': array(15.39716591),\n", " 'varpi_angle__': array([ 3.64010862, -2.59799919]),\n", " 'eccen_interval__': array(-0.19682975),\n", " 'logs': array(0.21291598),\n", " 'lighttime': array([178.34565426, 191.30015751, 193.97131511]),\n", " 'mean_flux': array(0.00075224),\n", " 'W_hat_cos': array([ 1.7414353 , 0.46678714, -0.59316665]),\n", " 'W_hat_sin': array([ 0.2940882 , 0.62832883, -0.28794189]),\n", " 'period': array(271.84151162),\n", " 'varpi': array(2.19066763),\n", " 'eccen': array(0.4509518),\n", " 'tref': array(24.82834397)}" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "opt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's go through some of those parameters for a sec. The ones not mentioned are nuisance parameters which are required for the model.\n", "\n", " - `t0`: Time of periastron passage (d)\n", " - `lighttime`: The projected semi-major axis calculated for each frequency in the model. Note that most of these agree, indicating that all the frequencies in the `Maelstrom` model belong to the same star.\n", " - `period`: The orbital period of the system.\n", " - `varpi`: The angle between the ascending node and periapsis\n", " - `eccen`: Orbital eccentricity\n", " - `tref`: Time of reference passage of periapsis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's see what the theoretical time delays look like in the optimised model vs the actual extracted values." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "td_time, td_td = ms.get_time_delay()\n", "td_average = np.average(td_td, axis=-1, weights=ms.get_weights())" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Time delay [s]')" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "with ms:\n", " model_td = xo.eval_in_model(ms.tau, opt) * 86400\n", " plt.plot(ms.time, model_td - np.median(model_td), c='blue', linewidth=0.5)\n", " plt.plot(td_time, td_average, '.k')\n", " \n", "plt.xlabel('Time [day]')\n", "plt.ylabel('Time delay [s]')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Cool! Each frequency in the light curve has its own independent `asini` in the Maelstrom model. This is useful for when there are multiple stars pulsating in the same binary system, as they would be (mostly) equal and opposite in sign." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "However, Maelstrom isn't actually fitting these parameters. What we're doing is forward modelling the input light curve by fitting the phase variations ($\\tau$) in each point;" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$y(t) = \\sum_{j=1}^{J} \\Big[A_j \\cos(\\omega_j (t - \\tau)) + B_j \\sin(\\omega_j (t-\\tau))\\Big]$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Although it is not as useful as looking at the time-delays, we can still inspect the actual light curve that is generated from the time delay signal:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "with ms:\n", " plt.plot(ms.time, xo.eval_in_model(ms.lc_model, opt), c='blue', linewidth=0.5, label='Maelstrom')\n", " plt.plot(ms.time, ms.flux, '.k', label='Data')\n", "plt.xlim(200,205)\n", "plt.xlabel('Time [day]')\n", "plt.ylabel('Flux [ppt]')\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Maelstrom has decided that all these frequencies belong to one star, as their lighttimes are all positive (or negative). This means the system is PB1. We can get a ready-made model from the get go by asking nicely, and passing in the optimisation results. The PB1 model is for binaries with only one pulsating component. All the frequencies now use the same `asini` parameter, unlike our first model" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$$\n", " \\begin{array}{rcl}\n", " \\text{PB1_logs_lc} &\\sim & \\text{Normal}(\\mathit{mu}=0.6424636244773865,~\\mathit{sigma}=10.0)\\\\\\text{PB1_mean} &\\sim & \\text{Normal}(\\mathit{mu}=4.582359380833623e-08,~\\mathit{sigma}=1.0)\\\\\\text{PB1_lognu} &\\sim & \\text{Normal}(\\mathit{mu}=array,~\\mathit{sigma}=0.1)\\\\\\text{PB1_period} &\\sim & \\text{Deterministic}(\\text{Constant},~\\text{Constant},~\\text{PB1_logP_interval__},~\\text{Constant})\\\\\\text{PB1_asini} &\\sim & \\text{Deterministic}(\\text{Constant},~\\text{Constant},~\\text{PB1_logasini_interval__},~\\text{Constant})\\\\\\text{PB1_nu} &\\sim & \\text{Deterministic}(\\text{PB1_lognu})\\\\\\text{PB1_eccen} &\\sim & \\text{Uniform}(\\mathit{lower}=0.0,~\\mathit{upper}=0.9)\\\\\\text{PB1_obs} &\\sim & \\text{Normal}(\\mathit{mu}=f(f(f(f(f(f(f(f(),~\\text{PB1_nu})),~f(array,~f(f(f(\\text{PB1_asini})),~f(f(f(f(f(f(f(\\text{PB1_eccen})))),~f(f(f(f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f(f(\\text{PB1_eccen}),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f()))),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f(f(\\text{PB1_eccen}),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f())))),~f(\\text{PB1_omega})))),~f(f(),~f(f(\\text{PB1_eccen}),~f(f(f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f(f(\\text{PB1_eccen}),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f()))),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f(f(\\text{PB1_eccen}),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f()))))))))))))),~f(f(f(f(f(),~\\text{PB1_nu})),~f(array,~f(f(f(\\text{PB1_asini})),~f(f(f(f(f(f(f(\\text{PB1_eccen})))),~f(f(f(f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f(f(\\text{PB1_eccen}),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f()))),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f(f(\\text{PB1_eccen}),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f())))),~f(\\text{PB1_omega})))),~f(f(),~f(f(\\text{PB1_eccen}),~f(f(f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f(f(\\text{PB1_eccen}),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f()))),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f(f(\\text{PB1_eccen}),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f())))))))))))))),~f(f(f(f(f(f(f(f(f(),~\\text{PB1_nu})),~f(array,~f(f(f(\\text{PB1_asini})),~f(f(f(f(f(f(f(\\text{PB1_eccen})))),~f(f(f(f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f(f(\\text{PB1_eccen}),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f()))),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f(f(\\text{PB1_eccen}),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f())))),~f(\\text{PB1_omega})))),~f(f(),~f(f(\\text{PB1_eccen}),~f(f(f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f(f(\\text{PB1_eccen}),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f()))),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f(f(\\text{PB1_eccen}),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f()))))))))))))),~f(f(f(f(f(),~\\text{PB1_nu})),~f(array,~f(f(f(\\text{PB1_asini})),~f(f(f(f(f(f(f(\\text{PB1_eccen})))),~f(f(f(f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f(f(\\text{PB1_eccen}),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f()))),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f(f(\\text{PB1_eccen}),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f())))),~f(\\text{PB1_omega})))),~f(f(),~f(f(\\text{PB1_eccen}),~f(f(f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f(f(\\text{PB1_eccen}),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f()))),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f(f(\\text{PB1_eccen}),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f()))))))))))))))),~f(f(f(f(f(f(),~\\text{PB1_nu})),~f(array,~f(f(f(\\text{PB1_asini})),~f(f(f(f(f(f(f(\\text{PB1_eccen})))),~f(f(f(f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f(f(\\text{PB1_eccen}),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f()))),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f(f(\\text{PB1_eccen}),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f())))),~f(\\text{PB1_omega})))),~f(f(),~f(f(\\text{PB1_eccen}),~f(f(f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f(f(\\text{PB1_eccen}),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f()))),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f(f(\\text{PB1_eccen}),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f()))))))))))))),~f(f(f(f(f(),~\\text{PB1_nu})),~f(array,~f(f(f(\\text{PB1_asini})),~f(f(f(f(f(f(f(\\text{PB1_eccen})))),~f(f(f(f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f(f(\\text{PB1_eccen}),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f()))),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f(f(\\text{PB1_eccen}),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f())))),~f(\\text{PB1_omega})))),~f(f(),~f(f(\\text{PB1_eccen}),~f(f(f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f(f(\\text{PB1_eccen}),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f()))),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f(f(\\text{PB1_eccen}),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f()))))))))))))))),~f(f(f(f(f(f(f(f(),~\\text{PB1_nu})),~f(array,~f(f(f(\\text{PB1_asini})),~f(f(f(f(f(f(f(\\text{PB1_eccen})))),~f(f(f(f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f(f(\\text{PB1_eccen}),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f()))),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f(f(\\text{PB1_eccen}),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f())))),~f(\\text{PB1_omega})))),~f(f(),~f(f(\\text{PB1_eccen}),~f(f(f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f(f(\\text{PB1_eccen}),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f()))),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f(f(\\text{PB1_eccen}),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f()))))))))))))),~f(f(f(f(f(),~\\text{PB1_nu})),~f(array,~f(f(f(\\text{PB1_asini})),~f(f(f(f(f(f(f(\\text{PB1_eccen})))),~f(f(f(f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f(f(\\text{PB1_eccen}),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f()))),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f(f(\\text{PB1_eccen}),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f())))),~f(\\text{PB1_omega})))),~f(f(),~f(f(\\text{PB1_eccen}),~f(f(f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f(f(\\text{PB1_eccen}),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f()))),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f(f(\\text{PB1_eccen}),~f(f(f(array,~f(\\text{PB1_period})),~f(\\text{PB1_phi})),~f()))))))))))))))),~array))),~f(\\text{PB1_mean})),~\\mathit{sigma}=f(f(\\text{PB1_logs_lc})))\n", " \\end{array}\n", " $$" ], "text/plain": [ "" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pb1_model = ms.pin_orbit_model(opt)\n", "pb1_model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we can see, pb1_model inherits from the PyMC3 Models object. It is, by definition, a custom model which has access to all of the properties of the default Model class. This means we can do cool things like this:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "PB1\n", "\n", "\n", "cluster3\n", "\n", "3\n", "\n", "\n", "cluster65,266\n", "\n", "65,266\n", "\n", "\n", "\n", "PB1_eccen\n", "\n", "PB1_eccen ~ Uniform\n", "\n", "\n", "\n", "PB1_obs\n", "\n", "PB1_obs ~ Normal\n", "\n", "\n", "\n", "PB1_eccen->PB1_obs\n", "\n", "\n", "\n", "\n", "\n", "PB1_period\n", "\n", "PB1_period ~ Deterministic\n", "\n", "\n", "\n", "PB1_period->PB1_obs\n", "\n", "\n", "\n", "\n", "\n", "PB1_phi\n", "\n", "PB1_phi ~ Angle\n", "\n", "\n", "\n", "PB1_phi->PB1_obs\n", "\n", "\n", "\n", "\n", "\n", "PB1_mean\n", "\n", "PB1_mean ~ Normal\n", "\n", "\n", "\n", "PB1_mean->PB1_obs\n", "\n", "\n", "\n", "\n", "\n", "PB1_logP\n", "\n", "PB1_logP ~ _ContinuousBounded\n", "\n", "\n", "\n", "PB1_logP->PB1_period\n", "\n", "\n", "\n", "\n", "\n", "PB1_omega\n", "\n", "PB1_omega ~ Angle\n", "\n", "\n", "\n", "PB1_omega->PB1_obs\n", "\n", "\n", "\n", "\n", "\n", "PB1_logs_lc\n", "\n", "PB1_logs_lc ~ Normal\n", "\n", "\n", "\n", "PB1_logs_lc->PB1_obs\n", "\n", "\n", "\n", "\n", "\n", "PB1_asini\n", "\n", "PB1_asini ~ Deterministic\n", "\n", "\n", "\n", "PB1_asini->PB1_obs\n", "\n", "\n", "\n", "\n", "\n", "PB1_logasini\n", "\n", "PB1_logasini ~ _ContinuousBounded\n", "\n", "\n", "\n", "PB1_logasini->PB1_asini\n", "\n", "\n", "\n", "\n", "\n", "PB1_nu\n", "\n", "PB1_nu ~ Deterministic\n", "\n", "\n", "\n", "PB1_nu->PB1_obs\n", "\n", "\n", "\n", "\n", "\n", "PB1_lognu\n", "\n", "PB1_lognu ~ Normal\n", "\n", "\n", "\n", "PB1_lognu->PB1_nu\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.model_to_graphviz(pb1_model)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, if we are happy with the default priors in Maelstrom we can sample the model. There are strong covariances between some of the parameters. This means that sampling will slow down significantly unless we use a custom NUTS step (see https://exoplanet.dfm.io/en/stable/tutorials/pymc3-extras/#dense-mass-matrices)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sampling is quite slow while the mass matrix is tuned (typically the first 1000 steps). Because of this, I'm only going to make 10 draws of the posterior distribution." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "optimizing logp for variables: [PB1_mean]\n", "4it [00:00, 22.28it/s, logp=-1.150728e+05]\n", "message: Optimization terminated successfully.\n", "logp: -115072.80884284787 -> -115072.7881902971\n", "optimizing logp for variables: [PB1_logs_lc]\n", "8it [00:00, 27.62it/s, logp=-1.097041e+05]\n", "message: Optimization terminated successfully.\n", "logp: -115072.7881902971 -> -109704.06934437387\n", "optimizing logp for variables: [PB1_omega, PB1_eccen]\n", "45it [00:01, 26.08it/s, logp=-1.066786e+05]\n", "message: Optimization terminated successfully.\n", "logp: -109704.06934437387 -> -106678.6001791905\n", "optimizing logp for variables: [PB1_phi]\n", "20it [00:00, 26.86it/s, logp=-1.066570e+05]\n", "message: Optimization terminated successfully.\n", "logp: -106678.6001791905 -> -106657.04265097293\n", "optimizing logp for variables: [PB1_lognu]\n", "103it [00:03, 32.85it/s, logp=-1.066545e+05]\n", "message: Desired error not necessarily achieved due to precision loss.\n", "logp: -106657.04265097293 -> -106654.54220594438\n", "optimizing logp for variables: [PB1_eccen, PB1_omega, PB1_lognu, PB1_mean, PB1_logasini, PB1_logs_lc, PB1_phi, PB1_logP]\n", "323it [00:11, 27.99it/s, logp=-1.064707e+05]\n", "message: Desired error not necessarily achieved due to precision loss.\n", "logp: -106654.54220594438 -> -106470.71703961623\n", "optimizing logp for variables: [PB1_logasini]\n", "67it [00:02, 32.72it/s, logp=-1.064707e+05]\n", "message: Desired error not necessarily achieved due to precision loss.\n", "logp: -106470.71703961623 -> -106470.71703961623\n", "optimizing logp for variables: [PB1_eccen, PB1_omega, PB1_lognu, PB1_mean, PB1_logasini, PB1_logs_lc, PB1_phi, PB1_logP]\n", "81it [00:02, 27.78it/s, logp=-1.508331e+05]\n", "message: Desired error not necessarily achieved due to precision loss.\n", "logp: -106470.71703961623 -> -106470.71703961623\n", "optimizing logp for variables: [PB1_logP]\n", "4it [00:00, 23.40it/s, logp=-1.064707e+05]\n", "message: Optimization terminated successfully.\n", "logp: -106470.71703961623 -> -106470.71703961515\n", "optimizing logp for variables: [PB1_eccen, PB1_omega, PB1_lognu, PB1_mean, PB1_logasini, PB1_logs_lc, PB1_phi, PB1_logP]\n", "133it [00:04, 28.31it/s, logp=-1.064707e+05]\n", "message: Desired error not necessarily achieved due to precision loss.\n", "logp: -106470.71703961515 -> -106470.71703961305\n", "Only 10 samples in chain.\n", "Multiprocess sampling (2 chains in 2 jobs)\n", "NUTS: [PB1_eccen, PB1_omega, PB1_lognu, PB1_mean, PB1_logasini, PB1_logs_lc, PB1_phi, PB1_logP]\n", "Sampling 2 chains: 100%|██████████| 40/40 [00:59<00:00, 1.49s/draws]\n", "/Users/danielhey/anaconda3/lib/python3.7/site-packages/pymc3/sampling.py:464: UserWarning: The number of samples is too small to check convergence reliably.\n", " warnings.warn(\"The number of samples is too small to check convergence reliably.\")\n", "There were 7 divergences after tuning. Increase `target_accept` or reparameterize.\n", "The acceptance probability does not match the target. It is 0.06641073900830238, but should be close to 0.9. Try to increase the number of tuning steps.\n", "There were 7 divergences after tuning. Increase `target_accept` or reparameterize.\n", "The acceptance probability does not match the target. It is 2.2473988127317096e-06, but should be close to 0.9. Try to increase the number of tuning steps.\n" ] } ], "source": [ "trace = pb1_model.sample(tune=10, draws=10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Look at all those errors! That's because we only sampled for 10 steps across 2 chains. For a full sampling run, check out the case studies in the sidebar.\n", "\n", "In any case, our trace is a PyMC3 trace object which can be manipulated accordingly:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/danielhey/anaconda3/lib/python3.7/site-packages/pymc3/stats.py:991: FutureWarning: The join_axes-keyword is deprecated. Use .reindex or .reindex_like on the result to achieve the same functionality.\n", " axis=1, join_axes=[dforg.index])\n" ] }, { "data": { "text/html": [ "
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meansdmc_errorhpd_2.5hpd_97.5n_effRhat
PB1_logs_lc0.2129228.600234e-062.719611e-060.2129130.212931NaN234.349313
PB1_mean0.0007489.571820e-063.026826e-060.0007390.000758NaN103.871715
PB1_lognu__02.9692693.418779e-081.057404e-082.9692692.969269NaN4.133664
PB1_lognu__13.0778711.183244e-073.247042e-083.0778713.077872NaN1.318653
PB1_lognu__23.4275766.475697e-081.901471e-083.4275763.427576NaN1.087233
PB1_logP5.6057847.644901e-062.417445e-065.6057775.605792NaN69.104374
PB1_period271.9951972.079376e-036.575335e-04271.993118271.9973191.05292269.103851
PB1_phi0.5691942.178819e-066.889910e-070.5691920.569196NaN120.295888
PB1_logasini5.2213671.418273e-054.484865e-065.2213525.221381NaN72.400180
PB1_asini185.1871192.626459e-038.305392e-04185.184426185.1897451.05290472.401205
PB1_nu__019.4776806.658988e-072.059578e-0719.47767919.477681NaN4.133665
PB1_nu__121.7121352.569075e-067.050022e-0721.71213221.7121393.2686741.318653
PB1_nu__230.8018961.994638e-065.856890e-0730.80189330.8018984.5695881.087233
PB1_omega2.2011375.935100e-071.876577e-072.2011362.201138NaN30.042722
PB1_eccen0.4572217.910098e-072.500954e-070.4572200.4572221.05475625.987299
\n", "
" ], "text/plain": [ " mean sd mc_error hpd_2.5 hpd_97.5 \\\n", "PB1_logs_lc 0.212922 8.600234e-06 2.719611e-06 0.212913 0.212931 \n", "PB1_mean 0.000748 9.571820e-06 3.026826e-06 0.000739 0.000758 \n", "PB1_lognu__0 2.969269 3.418779e-08 1.057404e-08 2.969269 2.969269 \n", "PB1_lognu__1 3.077871 1.183244e-07 3.247042e-08 3.077871 3.077872 \n", "PB1_lognu__2 3.427576 6.475697e-08 1.901471e-08 3.427576 3.427576 \n", "PB1_logP 5.605784 7.644901e-06 2.417445e-06 5.605777 5.605792 \n", "PB1_period 271.995197 2.079376e-03 6.575335e-04 271.993118 271.997319 \n", "PB1_phi 0.569194 2.178819e-06 6.889910e-07 0.569192 0.569196 \n", "PB1_logasini 5.221367 1.418273e-05 4.484865e-06 5.221352 5.221381 \n", "PB1_asini 185.187119 2.626459e-03 8.305392e-04 185.184426 185.189745 \n", "PB1_nu__0 19.477680 6.658988e-07 2.059578e-07 19.477679 19.477681 \n", "PB1_nu__1 21.712135 2.569075e-06 7.050022e-07 21.712132 21.712139 \n", "PB1_nu__2 30.801896 1.994638e-06 5.856890e-07 30.801893 30.801898 \n", "PB1_omega 2.201137 5.935100e-07 1.876577e-07 2.201136 2.201138 \n", "PB1_eccen 0.457221 7.910098e-07 2.500954e-07 0.457220 0.457222 \n", "\n", " n_eff Rhat \n", "PB1_logs_lc NaN 234.349313 \n", "PB1_mean NaN 103.871715 \n", "PB1_lognu__0 NaN 4.133664 \n", "PB1_lognu__1 NaN 1.318653 \n", "PB1_lognu__2 NaN 1.087233 \n", "PB1_logP NaN 69.104374 \n", "PB1_period 1.052922 69.103851 \n", "PB1_phi NaN 120.295888 \n", "PB1_logasini NaN 72.400180 \n", "PB1_asini 1.052904 72.401205 \n", "PB1_nu__0 NaN 4.133665 \n", "PB1_nu__1 3.268674 1.318653 \n", "PB1_nu__2 4.569588 1.087233 \n", "PB1_omega NaN 30.042722 \n", "PB1_eccen 1.054756 25.987299 " ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.summary(trace)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 4 }