{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Tracking" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This tutorial introduces the ``pvlib.tracking`` module. This module currently only contains one function, ``tracking.singleaxis``, but we hope to add dual axis tracking support in the future. \n", "\n", "The ``tracking.singleaxis`` function is a port of the PVLIB MATLAB file ``pvl_singleaxis.m``. The algorithm is based on [Lorenzo et al, *Tracking and back-tracking*, Prog. in Photovoltaics: Research and Applications, **19**, 747-753 (2011)](http://dx.doi.org/10.1002/pip.1085). Most of the Python and MATLAB algorithms are identical except for name changes to conform to the PEP8 Python style guide. There are few spots, noteably in the calculation of [``surface_azimuth``](#Surface-tilt-and-azimuth), that our implementation differs from the MATLAB implementation.\n", "\n", "Table of contents:\n", "1. [Standard Python and pvlib setup](#Setup).\n", "2. [Walk through each step of the single axis tracking algorithm](#Single-axis-tracker-algorithm).\n", "3. [Use the ``tracking.singleaxis`` function to explore the impacts of tracker tilt, tracker azimuth, and backtracking](#tracking.singleaxis-examples).\n", "\n", "This tutorial requires pvlib >= 0.6.0.\n", "\n", "This tutorial was written by\n", "* Will Holmgren ([@wholmgren](http://wholmgren.github.io)), University of Arizona. March, 2015, July 2015, March 2016, April 2016, August 2018.\n", "* Some of the text is based on the comments in ``pvl_singleaxis.m``, presumably written by the PVLIB_MATLAB team at Sandia National Laboratory." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setup" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Standard scientific Python imports." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# plotting modules\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", " \n", "# built in python modules\n", "import datetime\n", "\n", "# python add-ons\n", "import numpy as np\n", "import pandas as pd" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import pvlib\n", "from pvlib.tools import cosd, sind\n", "from pvlib.location import Location" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Make some ``pvlib Location`` objects. These are the standard inputs to the solar position calculator." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Location: \n", " name: Tucson\n", " latitude: 32.2\n", " longitude: -111\n", " altitude: 700\n", " tz: US/Arizona\n", "Location: \n", " name: Johannesburg\n", " latitude: -26.2044\n", " longitude: 28.0456\n", " altitude: 1753\n", " tz: Africa/Johannesburg\n" ] } ], "source": [ "tus = Location(32.2, -111, 'US/Arizona', 700, 'Tucson')\n", "print(tus)\n", "johannesburg = Location(-26.2044, 28.0456, 'Africa/Johannesburg', 1753, 'Johannesburg')\n", "print(johannesburg)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calculate solar position at those locations. To start, we'll choose times near an equinox. Later, we'll test against times near a solstice." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "times = pd.date_range(start=datetime.datetime(2014,3,23), end=datetime.datetime(2014,3,24), freq='5Min')\n", "\n", "ephem_tus = pvlib.solarposition.get_solarposition(times.tz_localize(tus.tz), tus.latitude, tus.longitude)\n", "ephem_joh = pvlib.solarposition.get_solarposition(times.tz_localize(johannesburg.tz),\n", " johannesburg.latitude, johannesburg.longitude)\n", "ephemout = ephem_tus # default for notebook" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Single axis tracker algorithm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The steps of the tracking algorithm are:\n", "1. [Define input parameters](#Inputs).\n", "2. [Transform solar position to South facing coordinate system](#Transform-to-south-facing-coordinate-system).\n", "2. [Transform solar position to panel coordinate system](#Transform-to-panel-coordinate-system).\n", "2. [Determine the ideal tracking angle when ignoring backtracking](#Tracking-angle).\n", "2. [Correct the tracking angle to account for backtracking](#Backtracking).\n", "2. [Calculate the panel normal vector based on tracking angle](#Calculate-panel-normal).\n", "2. [Calculate the solar angle of incidence](#AOI).\n", "2. [Calculate the panel tilt and azimuth](#Surface-tilt-and-azimuth)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Inputs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, define the input parameters. From the ``tracking.singleaxis`` docstring..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " apparent_zenith : Series\n", " Solar apparent zenith angles in decimal degrees. \n", "\n", " azimuth : Series\n", " Solar azimuth angles in decimal degrees.\n", "\n", " latitude : float\n", " A value denoting which hempisphere the tracker is\n", " in. The exact latitude is NOT required, any positive number denotes\n", " the northern hemisphere, any negative number denotes the southern\n", " hemisphere, a value of 0 is assumed to be northern hemisphere.\n", "\n", " axis_tilt : float\n", " The tilt of the axis of rotation\n", " (i.e, the y-axis defined by axis_azimuth) with respect to horizontal, \n", " in decimal degrees.\n", "\n", " axis_azimuth : float\n", " A value denoting the compass direction along which\n", " the axis of rotation lies, in decimal degrees. \n", "\n", " max_angle : float\n", " A value denoting the maximum rotation angle, in\n", " decimal degrees, of the one-axis tracker from its horizontal position\n", " (horizontal if axis_tilt = 0). \n", " A max_angle of 90 degrees allows the tracker to rotate to a vertical\n", " position to point the panel towards a horizon. \n", " max_angle of 180 degrees allows for full rotation.\n", "\n", " backtrack : bool\n", " Controls whether the tracker has the\n", " capability to \"backtrack\" to avoid row-to-row shading. \n", " False denotes no backtrack capability. \n", " True denotes backtrack capability. \n", "\n", " gcr : float\n", " A value denoting the ground coverage ratio of a tracker\n", " system which utilizes backtracking; i.e. the ratio between the PV\n", " array surface area to total ground area. A tracker system with modules 2\n", " meters wide, centered on the tracking axis, with 6 meters between the\n", " tracking axes has a gcr of 2/6=0.333. If gcr is not provided, a gcr\n", " of 2/7 is default. gcr must be <=1." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "azimuth = ephemout['azimuth']\n", "apparent_azimuth = ephemout['azimuth']\n", "apparent_zenith = ephemout['apparent_zenith']\n", "axis_tilt = 10\n", "axis_azimuth = 170\n", "latitude = 32\n", "max_angle = 65 \n", "backtrack = True\n", "gcr = 2.0/7.0\n", "\n", "times = azimuth.index" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Transform to south facing coordinate system" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The reference that this algorithm is based on used an Earth coordinate system where y points south. So, we first transform our solar position vector to this new coordiante system." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,1,'sun position in Earth coordinate system')" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "az = apparent_azimuth - 180\n", "apparent_elevation = 90 - apparent_zenith\n", "x = cosd(apparent_elevation) * sind(az)\n", "y = cosd(apparent_elevation) * cosd(az)\n", "z = sind(apparent_elevation)\n", "\n", "earth_coords = pd.DataFrame({'x':x,'y':y,'z':z})\n", "\n", "earth_coords.plot()\n", "plt.title('sun position in Earth coordinate system')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Transform to panel coordinate system" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Transform solar vector to panel coordinate system. For North-South oriented trackers parallel to the ground, the only difference is the sign of the x component. The x components are the same if ``axis_azimuth=180`` and opposite if ``axis_azimuth=0``." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "cos(axis_azimuth_south)=0.984807753012208, sin(axis_azimuth_south)=-0.17364817766693033\n", "cos(axis_tilt)=0.984807753012208, sin(axis_tilt)=0.17364817766693033\n" ] }, { "data": { "text/plain": [ "Text(0.5,1,'sun position in panel coordinate system')" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "axis_azimuth_south = axis_azimuth - 180\n", "\n", "print('cos(axis_azimuth_south)={}, sin(axis_azimuth_south)={}'\n", " .format(cosd(axis_azimuth_south), sind(axis_azimuth_south)))\n", "print('cos(axis_tilt)={}, sin(axis_tilt)={}'\n", " .format(cosd(axis_tilt), sind(axis_tilt)))\n", "\n", "xp = x*cosd(axis_azimuth_south) - y*sind(axis_azimuth_south);\n", "yp = (x*cosd(axis_tilt)*sind(axis_azimuth_south) +\n", " y*cosd(axis_tilt)*cosd(axis_azimuth_south) -\n", " z*sind(axis_tilt))\n", "zp = (x*sind(axis_tilt)*sind(axis_azimuth_south) +\n", " y*sind(axis_tilt)*cosd(axis_azimuth_south) +\n", " z*cosd(axis_tilt))\n", "\n", "panel_coords = pd.DataFrame({'x':xp,'y':yp,'z':zp})\n", "\n", "panel_coords.plot()\n", "plt.title('sun position in panel coordinate system')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Tracking angle" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " The ideal tracking angle ``wid`` is the rotation to place the sun position \n", " vector ``(xp, yp, zp)`` in the ``(y, z)`` plane; i.e. normal to the panel and \n", " containing the axis of rotation. ``wid = 0`` indicates that the panel is \n", " horizontal. Here, our convention is that a clockwise rotation is \n", " positive, to view rotation angles in the same frame of reference as \n", " azimuth. For example, for a system with tracking axis oriented south, \n", " a rotation toward the east is negative, and a rotation to the west is \n", " positive." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use ``arctan2``, but PVLIB MATLAB uses ``arctan``. Here prove that we get the same result." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,1,'Ideal tracking angle without backtracking')" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Calculate angle from x-y plane to projection of sun vector onto x-z plane\n", "# and then obtain wid by translating tmp to convention for rotation angles.\n", "wid = pd.Series(90 - np.degrees(np.arctan2(zp, xp)), index=times)\n", "\n", "# filter for sun above panel horizon\n", "wid[zp <= 0] = np.nan\n", "\n", "wid.plot(label='tracking angle')\n", "ephemout['apparent_elevation'].plot(label='apparent elevation')\n", "plt.legend()\n", "plt.title('Ideal tracking angle without backtracking')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "``arctan`` version" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,1,'Ideal tracking angle without backtracking')" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tmp = np.degrees(np.arctan(zp/xp)) # angle from x-y plane to projection of sun vector onto x-z plane\n", "\n", "# Obtain wid by translating tmp to convention for rotation angles.\n", "# Have to account for which quadrant of the x-z plane in which the sun \n", "# vector lies. Complete solution here but probably not necessary to \n", "# consider QIII and QIV.\n", "wid = pd.Series(index=times)\n", "wid[(xp>=0) & (zp>=0)] = 90 - tmp[(xp>=0) & (zp>=0)]; # QI\n", "wid[(xp<0) & (zp>=0)] = -90 - tmp[(xp<0) & (zp>=0)]; # QII\n", "wid[(xp<0) & (zp<0)] = -90 - tmp[(xp<0) & (zp<0)]; # QIII\n", "wid[(xp>=0) & (zp<0)] = 90 - tmp[(xp>=0) & (zp<0)]; # QIV\n", "\n", "# filter for sun above panel horizon\n", "wid[zp <= 0] = np.nan\n", "\n", "wid.plot(label='tracking angle')\n", "ephemout['apparent_elevation'].plot(label='apparent elevation')\n", "plt.legend()\n", "plt.title('Ideal tracking angle without backtracking')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Backtracking" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Account for backtracking; modified from [1] to account for rotation angle convention being used here." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,1,'Ideal tracking angle with backtracking')" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "if backtrack:\n", " axes_distance = 1/gcr\n", " temp = np.minimum(axes_distance*cosd(wid), 1)\n", "\n", " # backtrack angle\n", " # (always positive b/c acosd returns values between 0 and 180)\n", " wc = np.degrees(np.arccos(temp))\n", "\n", " v = wid < 0\n", " widc = pd.Series(index=times)\n", " widc[~v] = wid[~v] - wc[~v]; # Eq 4 applied when wid in QI\n", " widc[v] = wid[v] + wc[v]; # Eq 4 applied when wid in QIV\n", "else:\n", " widc = wid\n", "\n", "widc.plot(label='tracking angle')\n", "#pyephemout['apparent_elevation'].plot(label='apparent elevation')\n", "plt.legend(loc=2)\n", "plt.title('Ideal tracking angle with backtracking')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compare tracking angle with and without backtracking." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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w8XTcPXr0YOTIkfTs2fPC9i637fMFLCgoiLS0tAujnQICAi6cEAhsk+6d79QuV64cv/zyC6NGjWLZsmUFPl/ndejQgVmzZpGTk0NycvIV3VeVLLsTV7Hh7e40WXgngVkpxLZ4jZqj1hF+/R15CsN5LWoEsn5fqpMjdS4tDg7m6Cm7fX19mTZtGgMHDqR58+Z4eHgwdOhQwDat9RNPPEHHjh0v/DoHuOWWW5g9ezZhYWH88ccfeR4zKiqKnj170rZtW0aPHk21atW46667iIuLIyIighkzZtCoUSMAmjZtygsvvMB1111Hy5YtGT58+EWPNXDgQAYPHkzv3r05c+YMQ4YM4aabbsq3GadcuXIMHjyY5s2b07dvXyIjIy+s+/LLL5k0aRItWrSgffv2HDp06MK6ypUrM3fuXB555BFWr159yecqt/79+1OjRg2aNWvGQw89RJs2bQgMDCzUfVXJcGjvNuL+M4jaM3tQ+8wmVtZ9ksARG4i69XE8vS7fqNKyRjkOncwg+WTh99iLG52yW7mttLQ0ypYtS0pKClFRUSxfvpwqVapcdBt9z5Q8qUcPsm3my4Qd+p4chLXVbqfpwDEEVqhU6MeI33uc/h+uYOo9rbmhaZWC7+BCdMpuVeL16tWLEydOcO7cOUaPHp2nMKiSJSP9JBu+f4vGu6fR2mQQV/5mavV/jfY1617xYzWtFoCXh7A+6USxKw6FpcVBuS3tZ1AA2VmZJMyZRMjGSURxgrWl21Pultdo06TAH8+X5OvtScMq/m7d7+B2xeFyo2uUyq24NqmqwjE5OWxcPIPyK98iImc/W7wac6jbVFq1u9Ehj9+8eiALNh1y2+8ctyoOvr6+pKSkULFiRbd8sZTjGGNISUm56JgK5T62rfkNs3AMLTI3s1dqENfufVp3v/OSo4+uRuOqAXyzZh/JJ89SJdD93kduVRxq1KhBUlISOmOrKgxfX98LBx0q9/D3tgSOzXmBsNPLOUJ5VjUdQ+u+j1Hbu5TDt9W4qm3yjC0HT2pxcHXe3t6EhoZaHYZSysmOHtjDru9fpHXKz1TAlxUhw2g54Hna+hfd8OWGVfwB2HzwJF0aFX6kU3HhVsVBKVWynEo9RuJ3r9Iy6SvCyGJNpQHUH/gK7StVL/JtB5b2pnq50mw9VPDBrMWRFgelVLFz9uwZEmZNpOFfk2nHSeIDulKl3+u0rdPUqXE0rhrAloMnnbpNZ9HioJQqNnKys4mfP41q8eNoa5JJ9AkjpcdrtA7vZEk8jav6s2RrMhmZ2fh6u9fJfrQ4KKWKhQ1//ITvsleJzN7OLs8QNnb8hGadbnXoCKQr1bhqADkGtien0byGe03PosVBKeXStm9cTfovLxCWsYZkCSI+/E3Cez6ERwHzHzlD7hFLWhyukYjsAU4B2UCWMSZCRCoA3wIh2M4EN8gYc9zZsSmlXMfBvX+x74fRRJz4lTQpQ2y9J2k5YASVff2sDu2CWhXKUNrbk81u2O9gVentYow5muv6SGCxMWasiIy0X3/OmtCUUlZKPX6ELd++RPjB76gArKl2J40HvUxUedcbLurpITSs4s/WQ1ocikofoLP9/8+BZWhxUKpEOZdxmoRZ42i0fSpR5jTx5W6gVv83aFOrvtWhXVbjqgH8vOEA2TkGTw/3mZnBip4cAywUkXgRGWJfVtkYcxDA/tf1fiIopYqEyclm7S9TOfZ2C9ps/w97fBqza8B8Ip/6jsouXhgAoutV5FRGFmv/dq+WcCv2HKKNMQdEpBLwm4hsLewd7cVkCECtWrWKKj6llJNsXTUPz0VjaJW1ne2edTnUaQItO/UuVnOjdWoQjJeHsHjLYSJD8j9dbnHk9D0HY8wB+9/DwGwgCkgWkaoA9r+HL3HfqcaYCGNMRHBwsLNCVko52L6/1rFu3E00WnAH/lnHWRX2FnVGrSHsuj7FqjAABPh6ExVagSVbk60OxaGcWhxExE9E/M//D9wAJAI/AffZb3YfMMeZcSmlnCPl8H5Wvfd/VJ3RhXrpCawMeYTAZ9fTtu/DF53qtrjp1rgyfyWnse/YaatDcRhn7zlUBv4UkfVALPCLMWYBMBboLiLbge7260opN3EmPY0Vn72Az/utiTjyI/HBfTn7cBzt7n+T0n5lrQ7vmnWzT7y3eIv77D04tc/BGLMLaJnP8hSgmzNjUUoVvezsbNbMnULIugm05yjr/NpToe9btGkQZnVoDhUS5EfdYD8Wbz3M/dHuMTO0qwxlVUq5mXV/zMVv2Uu0zd7JDq96bOn2LmHtbrY6rCLTrXFlpi3fTerpTALLeFsdzjWzblISpZRb2r0lgbVjbyRs8d0E5KSSEPE2dUfF0tiNCwPALS2qkZlt+GnDAatDcQjdc1BKOURKchLbv3uRiKNzCBYfYus+RssBI6lcuvj3KRRGs+oBNKriz/dx+7inbW2rw7lmuueglLomGafTWPX5C/h8EEHE0TmsrdSP7EfiibrndXxKSGEAEBEGRdRkfVKqW0ynocVBKXVVTE42CT9/SOq/W9B293ts9wvnwF1LiXrkUwKDi/5MbK6ob3h1vD2FmXFJVodyzbRZSSl1xbbH/YYseJ7wrO385VmPw10mEd6hl9VhWa6CXymub1yZHxP281yPRpTyKr6/v4tv5Eopp0v++y/WTuhL/Z8HEJCVwqqWb1J3VCzNtTBcMCiyJinp55ifeNDqUK6J7jkopQqUfuoEG799mbB90wkEVtR8kBa3jaGtv3ud4MYRrqsfTJ1gPz76Yxe9W1YrdtOBnKd7DkqpS8rOzib2h3c5PSGMtknTSAy8jhP/Wkn7BydQVgtDvjw8hAc71CFx/0lW7TpmdThXTYuDUipfG1fMZ9ebUURteJHjXpXY1msWEcNnUaUYTKNttVtbVaeiXyk+/mOX1aFcNW1WUkpdZN+urSTPGkFE+u8cpiJrI8YRfvODiEfxnRjP2Xy9Pbm7bW3eWbydHYfTqFep+A3p1T0HpRQAp1KPsXzK41T6vANN01YSG/IQAc+uo1Wvh7QwXIV729WmtLcn7y3ZbnUoV0WLg1IlXE52NrE/TOLsf8KJPvg5ieW6kP7QaqLuH4evX4DV4RVbFcv6cG/72vy0/gA7Dp+yOpwrpsVBqRJs2+r57H4zkqgNo0nxrsL23j/S+qmZBFWrY3VobuGhTnXx9fbkncU7rA7limlxUKoEOvz3NhIm9Kbh/Nvxy04lLuLfNHh+JfVbdbE6NLdSwa8U97UP4ecNB/gruXjtPWhxUKoEyTh9ithPnyHgk2ganVzJ8ppD8H8mgYheQxAP/TooCkM61qFsKS/GLdhmdShXxNmnCa0pIktFZIuIbBKRJ+zLXxaR/SKyzn5x77l9lXIyk5PD2gWfceLf4UT9/RGJ/h04/sAKov/1b/zKar9CUSrvV4phXeqyaEsyK3emWB1OoTn7p0IW8LQxpjHQFnhERJrY1/3HGBNmv8xzclxKua1dm2LZNLYLrVY9wRnxI7H7V0Q88yPVauvxCs7yQHQo1QJ9eXPeFnJyjNXhFIpTi4Mx5qAxZq39/1PAFqBkTt+oVBE7kXKYle89SK3vbqTmue2sbjKKms+voVl0T6tDK3F8vT155saGbNyfypz1+60Op1Asa2QUkRAgHFhtX/SoiGwQkU9FpLxVcSlV3GVlZrLyuwnkvNuKNke+JyG4Dzy2ljaDnsPLu5TV4ZVYfcOq06JGIG/O28rJjEyrwymQJcVBRMoCs4AnjTEngQ+BukAYcBCYcIn7DRGROBGJO3LkiNPiVaq42BL7G7vHtqHd5lc5XKoWfw+cT+SjnxFYsYrVoZV4Hh7C632bcTTtLBN+df3OaacXBxHxxlYYZhhjfgAwxiQbY7KNMTnAR0BUfvc1xkw1xkQYYyKCg4OdF7RSLu7ogT3ETRxA43kDCMw+TkLUeBqO/JOQZu2sDk3l0qJGOe5pW5svV+1lY1Kq1eFclrNHKwnwCbDFGDMx1/KquW7WD0h0ZlxKFVeZZ88Q++VoykyJokXqUlZWv5+yzyQQfvNgHZrqop6+oSEV/Hx48ceNZLtw57SzJ96LBu4BNorIOvuyUcAdIhIGGGAP8JCT41Kq2Nn0x2wCl44iKucACWXaEjRgIu3qNrU6LFWAwNLevNizMU9+u46vYv/mnra1rQ4pX04tDsaYP4H8znyhQ1eVKqTkpB0c+OYpwtNi2CdVWdvxI8K7Diy2J5UpifqEVeO7uH2MW7CVHk2rEOzvY3VIeeh+p1LFxLmzGaz8YjT+H7Wn0alVLK89jOARa2nVbZAWhmJGRHi1TzMyMrN5/ZfNVoeTLz2fg1LFwIaYHym3dBTtzH4S/KKpPOg/RIc0tDosdQ3qVSrLsM71mLR4Ozc3r8qNTV1rRJkWB6Vc2MG/d7D/26eJSF/GfqnC+us+IrzLIKvDUg7yaJd6LNqczAuzNxIZUoEKfq5zHIo2Kynlgs6ePcOKL8YQ8El7mqUtZ3XIUIKeW0tLLQxupZSXB+MHtiT1TCZj5rjWIE0tDkq5mMQ/53Lw7Qja73qHHX6tOPHAn7S5/218fP2sDk0VgSbVAni8a31+3nCQXzYctDqcC7RZSSkXcfTgHvZ+PZzWJxdzQCqzodNkWna9w+qwlBMM61yXhZuTGT0nkTZ1KhBU1vrRS7rnoJTFsjPPsebrVyk9pQ3NUmNYWeNBKjy7lhZaGEoML08PJgxqSVpGFi/M3ogx1h8cp8VBKQvtiF/E32Mjidw2gb98W5B8zzLaPTgB3zJlrQ5NOVmDyv4Mv6EBv25KZmZcktXhaLOSUlY4eeww22Y8TWTKTxwiiNg27xJ549065UUJN6RjHX7fdoSXftpEREh56gRb9yNB34lKOZHJySFuzvtkTWpN+NGfWV7pTsoMjyPqpnu1MCg8PISJt7XEx9uDJ75Zx7msHOtisWzLSpUwe7clsHnsdUQkjOKwV3V2959P9MMfEhCgpy9R/1M1sDRjb23Bxv2pTPjNuqm9tVlJqSJ2Jj2NhK9eJCLpCzLEl9VNxxBx65N4enpaHZpyUT2aVeHONrWYGrOLTvWDia4X5PQYdM9BqSK0dsn3HBvfivb7p7Gh3PVkDoulzcCntTCoAo3u2YQ6QX4M/24dx9LPOX37WhyUKgKHknaz5t99aBXzL7LFiy03zCDiqe+oWLmG1aGpYqJ0KU8m3RHO8fRMhn+3jhwnn/tBi4NSDpSdlcWqr9/C76N2tEhbTmzoMKo+F0/j9r2sDk0VQ02rBTL6liYs23aEKTG7nLpt7XNQykF2b/yT7DlP0DZrBxtKtyZ40LtE1dGT76hrc3ebWqzalcL4hduICClPZEgFp2zXZfYcRKSHiGwTkR0iMtLqeJQqrIxTx4mfPJha3/ciMOsoayIm0HzEIqpqYVAOICKMvbU5NcqX5rGvEpzW/+ASxUFEPIH3gZuAJthOG9rE2qiUKoAxbFvyJWkTwwk/OJMVFfri9Xg8kb0e1GMWlEP5+3rz/p2tOJZ+zmn9D67yDo4CdhhjdhljzgHfAH0sjkmpS0o9tJvNE2+mYcyjHKM8G276gY5PfEb5Cs4fcqhKhmbV/9f/8Ony3UW+PVfpc6gO7Mt1PQlo888bicgQYAhArVq1nBOZUrmY7CwS50ygzoaJhBjD4tpP0P7OFyjta/0smsr93d2mFqcyMukdVq3It+UqxSG/E+Dm2W8yxkwFpgJERERYP22hKlGS/1pD+veP0PzcNuK9W+M/YBLdGjazOixVgogID3eu55RtuUpxSAJq5rpeAzhgUSxKXST7bDqJX71A0z2f44k/S5uPpVO/h/D0dJVWWaUcz1Xe3WuA+iISKiKlgNuBn4piQ6t2pTDkizhLJ7RSxcfe2J85/HYrWu6dxnL/Gzg7dCVdBgzTwqDcnku8w40xWcCjwK/AFuA7Y8ymothWSto5Fm5O5pW5RfLwyk1knEgm8b3bqT3vLs7leLC8w+d0evobqletbnVoSjmFqzQrYYyZB8wr6u30bFGVjfvrMvn3nTSvHsjtUdqxrXIxhr8WfkSlla/S0JxmUaV7ibjnDWoHBFgdmVJO5TLFwZmevbEhmw6kMmbOJhpW8Se8lk6ZrCA1aRvJXz9Mg/Q4Ej0aknV0CFzKAAAbA0lEQVTzf7g+ItrqsJSyhEs0Kzmbp4fw7h3hVA70Ydj0tRw+lWF1SMpCJuscm757BZ+PO1A1bRO/hY6g3sjlhGlhUCVYiSwOAOXKlGLK3RGcOHOOR2as1Q7qEip583L2vd2GppsnsrZUBIfu+Z3u972Abylvq0NTylIltjgANKkWwNv9W7Bmz3Em/vaX1eEoJ8o6nUrix0MJ/rYnpc6dYEnLibQZOY/69RpaHZpSLqFE9jnk1iesOit3pjAlZiedGgTRvq5Of+Du9q74njKLnqNJdgpLA3rT5O7xdK1cyeqwlHIpJXrP4bwxtzQhtKIfw79dz4nTzj/jknKO08eS2PJOP2ov/BepOWVY2eVrug7/nKpaGJTKQ4sDUKaUF/+9PYyjaWd5/oeNGKMzc7iVnBy2/zKJ7EmR1Dn2BwuqDCH46dVEd74JkfxmblFKlfhmpfNa1CjH0zc05O0FW5kZl8SgyJoF30m5vBN7N3Lsm2HUP7ORtZ4t8LjlP/QIi7A6LKVcnhaHXB7qVIeYv47w8txNRIZWIDTIz+qQ1FUyWWfZPPMV6m+bAsaHBfXH0HnQE/iW0re8UoWhzUq5eHgIE29riZeHMOL79U4/obdyjIOJv5M0NpKm295ntU80Kff/SY+7n9bCoNQV0OLwD1UDS/Niryas2XOcGbF/Wx2OugKZp1PZ+NFDVJ7ZB6/MNJa0epfo5+ZQN7SO1aEpVexoccjHwNY16FAviLfnb+Vg6hmrw1GFsHvFLI7/uzVNk75laWBf5NHVdO19Lx4e2uGs1NXQ4pAPEeHNfs3JysnhxdmJOnrJhaUfO8Cmd/oTuvABThlfVnf9mm7DP6NKcLDVoSlVrGlxuIRaFcvwdPeGLN56mJ83HLQ6HPVPxrBl/gdkT4qk3rFl/FblQYKfXU27626yOjKl3IL20F3G/0WHMHfDAV7+aRMd6gVR3q+U1SEpIGXfVo5+PYzGp9ey0bMJ3DKJ7mGRVoellFvRPYfL8PL0YOytLUg9k8kb87ZYHU6JZ7IzWf/tK5T5pCPV0rewuO7zNBgZQ3MtDEo5nNOKg4j8W0S2isgGEZktIuXsy0NE5IyIrLNfJjsrpsJoUi2Af3UM5fv4JBL+Pm51OCXW/s0r2TO2LS23TGSjT2uO3hdDt3tG4uOts6cqVRScuefwG9DMGNMC+At4Pte6ncaYMPtlqBNjKpTHutankr8PL/+0SY99cLLMjDTWfvwYlb+9mbLnjhITPoGIEfMIrdPA6tCUcmtOKw7GmIX2c0UDrAJqOGvb16qsjxfP39yI9UmpfL82yepwSowdK+dyZFxrWiV9wcrAmzCPxNKpz4N4eGprqFJFzapP2QPA/FzXQ0UkQUR+F5GOl7qTiAwRkTgRiTty5EjRR5lL37DqtK5dnnELtpF+NqvgO6irlnb8MAmT7qDer3eTlSOs6fwlHYd/RaVKla0OTakSw6HFQUQWiUhiPpc+uW7zApAFzLAvOgjUMsaEA8OBr0Qk37O5G2OmGmMijDERwU4exy4ivNCzMUfTzvLJn7uduu0SwxgSf/2Ec+9E0CzlV36vfC/ln1lDZOfeVkemVInj0KGsxpjrL7deRO4DegHdjP3IMmPMWeCs/f94EdkJNADiHBmbI7SqVZ4eTasw5fed3NWmFhXL+lgdkts4un8HB2c8QvPTq9jqWZ9Dvb7huvD2VoelVInlzNFKPYDngN7GmNO5lgeLiKf9/zpAfWCXs+K6Us/2aEhGVg7vLtlhdShuIScri7jv3qL0R9HUTU8gps5w6jy3kiZaGJSylDMPgnsP8AF+s59gZZV9ZFIn4FURyQKygaHGmGNOjOuK1A0uy6CImsxYvZfBnepQvVxpq0MqtvZtjePMrEeIyNxKgk8EFQa9R6e6ja0OSymFE4uDMabeJZbPAmY5Kw5HeLRrPb6P38eU33fyap9mVodT7JzLOEPCjBcJ/3saaVKGlS3H0qb3QzoKSSkXop/Gq1C9XGn6t6rBN2v2kXwyw+pwipWtsQs5NC6CNvs+JiGgK9nDVtOu3zAtDEq5GP1EXqWHO9cjO8cw5XeX7R5xKSdPpBD77n00mjcQr5xzJHT6hDZPf09w5epWh6aUyocWh6tUq2IZ+oZV56vYvRxLP2d1OC5t7cLpZPw3gtZH57Ci0u0EPB1HeNcBVoellLoMLQ7XYOh1dcjIzOFrPWNcvpL37yHu37fQasUjnPIMZGefObR/eApl/QOtDk0pVQAtDtegfmV/OtQLYvqqvWRm51gdjsvIzs5m5TfjKD21Hc3TVrK6zmPUem41DVpdZ3VoSqlC0uJwje5vH8LB1AwWbkq2OhSXsGtTLNvfiqbd1jfY59uAY/cto829r+NdSg8YVKo40ZP9XKMujSpRq0IZPluxm54tqlodjmXOpKeRMGMUkfunky5lWNvqLcJ7DUU89PeHUsWRfnKvkaeHcG+72qzZc5zNB05aHY4lNsb8SMr41rQ/8Dnryt+APLqGVr0f1sKgVDGmn14H6N+qBt6ewuyEkjWd97HD+4mbOIDmS+7D4MGm7jOIfPIbAoNK7h6UUu5Ci4MDlPcrReeGlZiz7gDZJeBkQCYnhzWz38XjgyhapC5hVY1/ETwijqbRvawOTSnlINrn4CD9wqvz2+ZkVuw8Ssf6zp1O3JmStq/n5MxHiTy3gS3eTSlz67u0bdza6rCUUg6mxcFBujaqhL+vF7MT9rtlcTiXcYZ1X79E2J5PCBAfVjUbQ1S/J/Hw9LQ6NKVUEdBmJQfx9fakZ/OqLEg8xOlz7nWmuG2rF3BoXARRe6ewwb8T5x5aRdsBT2thUMqNaXFwoD5h1Tl9LpulW517CtOicjLlMHGT7qLh/Nvs8yF9TMQzswmqWsvq0JRSRUyLgwNFhpTH39eLmL+Kd3EwOTnE/TSZrHdbE5YyjxWV7yLw6TjCuw60OjSllJNon4MDeXl6EF03iJjtRzDGYD+pUbGyd0ciqTMfJ+JsPH95NeB473do30LPyqZUSePM04S+LCL7RWSd/XJzrnXPi8gOEdkmIjc6K6ai0KlBMAdTM9hxOM3qUK5IxpnTLP90BJW/7Eyds5uJbfw89UaupK4WBqVKJGfvOfzHGDM+9wIRaQLcDjQFqgGLRKSBMSbbybE5RMf6QQDEbD9K/cr+FkdTOBti5lBu6UiizQESAjpT6453iKoWYnVYSikLuUKfQx/gG2PMWWPMbmAHEGVxTFetZoUy1AnyKxb9DkcP7CVuQj9aLLkXT3LY1PVTwp+eQ0UtDEqVeM4uDo+KyAYR+VREytuXVQf25bpNkn1ZHiIyRETiRCTuyBHX/fLt1CCY1btTyMh0zZ2f7KwsVn/zJj5T2tDiZAyraw0maEQ8TTv1tzo0pZSLcGhxEJFFIpKYz6UP8CFQFwgDDgITzt8tn4fKdw4KY8xUY0yEMSYiONh1DzTrWD+IjMwc1uw5ZnUoeexIiGH3W1G02fo2e3wbc/ieZbR5YDw+pctaHZpSyoU4tM/BGHN9YW4nIh8BP9uvJgE1c62uARxwZFzO1qZORQA2JKW6zNHSJ08cZdv0Z2h95EdSpBzxkRNoddMDOnOqUipfzhytlHuqzn5Aov3/n4DbRcRHREKB+kCss+IqCmV9vKgc4MPuo+lWh4LJySHh58lk/rcVrY78SGylAfg8GU/rng9qYVBKXZIzRyuNE5EwbE1Ge4CHAIwxm0TkO2AzkAU8UlxHKuUWGuRneXHYv30dqd8/QfjZdWzzasCxXjNoG9bR0piUUsWD04qDMeaey6x7A3jDWbE4Q2iQH79adOrQM+mnWP/Vi7RK+pKy+LKiyYu06f8Unl56zKNSqnD026KIhAb5cSz9HKmnMwks4+2UbRpjSFj8LVWWj6atOUxs4I2E3jmB9lVqFnxnpZTKRYtDEQkNso3+2Z2STliZckW+vaRdW0meOZzWZ5az16Mmm7p/TVT7mwu+o1JK5UOLQxEJDSoDwO6jaYTVLLricOZ0Oglfv0yrv6dRAQ9i6z1O+G0v4F3Kt8i2qZRyf1ocikjNCmXwENh99HSRPL4xhnWLv6HS8pdob5JZG9CFmrdPJKp6nSLZnlKqZNHiUER8vDypUb5MkYxY2r8zkaPfDyf8zGr2eNRkU7fptOpwi8O3o5QqubQ4FCHbcFbHzc6acfoU674aQ6t9XxCIN6saDKf1wJF4l/Jx2DaUUgq0OBSp0CA/4vcev/ZzOxjD+t+mU2nlK7Q1R1gTcD0hd0ykbbXajgtWKaVy0eJQhEKD/Eg7m8WRtLNU8r+6DuKk7es5MespWmbEs8ujNondvyZSRyEppYqYFociFBrkB8DuI+lXXBzST51g49ejabV/BoGUYnmDZ4kaNAJv71JFEapSSl1Ei0MROl8c9qSkX5iMryAmJ4c18z6ldtybtCWF2HI9CL3930RXrVWUoSql1EW0OBShauVK4+vtwaYDJwt1++3rV3L25xFEZW5gp2ddTvSYSlRkoSa6VUoph9JpOYuQp4dwXYNgFiQeIjsn31NUAHDs8AFWTbqXOj/cRI3M3cQ3G03o87E01MKglLKIFoci1qtFNQ6fOpvviX8yz51l1Vev4/VBBBEpc4mrPBB5IoHWA57BQyfJU0pZSL+Bili3xpUo7e3J3PUHaJur3yExZjb+y0bTNmcfG31aEdBvPG0atbYwUqWU+h/dcyhiZUp50a1xJeYnHiIrO4eDuzaxbtxNNFtyP54mk4ToD2j23GJqa2FQSrkQ3XNwgltaVmPphl0see9hOh+bSQBerKjzGK0GjaJG6TJWh6eUUnk4rTiIyLdAQ/vVcsAJY0yYiIQAW4Bt9nWrjDFDnRVXkcvJoUvGIpb5vEDw8ROsDryRkNvG0b56iNWRKaXUJTnzTHC3nf9fRCYAqblW7zTGhDkrFqfZtwYWPEep/fGUDm7J1rbTaBPR1eqolFKqQE5vVhLbJEODAPf9lkzdD4tfhQ3fQNkq0G8KZZsPopGHdvEopYoHK/ocOgLJxpjtuZaFikgCcBJ40RjzR353FJEhwBCAWrVc8Ijhs2mwYhIsnwQmGzo8BR2fBh9/qyNTSqkr4tDiICKLgCr5rHrBGDPH/v8dwNe51h0EahljUkSkNfCjiDQ1xuQ5rNgYMxWYChAREXHpo8qcLScb1n8Ni1+DtEPQtB9c/zKUD7E4MKWUujoOLQ7GmMse0isiXsCtwIVxm8aYs8BZ+//xIrITaADEOTK2IrM7Bn4dBYc2QvXWMOgLqNXG6qiUUuqaOLtZ6XpgqzEm6fwCEQkGjhljskWkDlAf2OXkuK7c0R3w22jYNg8Ca0L/T6DpraD9CkopN+Ds4nA7FzcpAXQCXhWRLCAbGGqMyTvXhKs4fQx+HwdrPgIvX+g2Bto+DN6lrY5MKaUcxqnFwRhzfz7LZgGznBnHVck6B2s+ht/fhrMnIfwe6PoilK1kdWRKKeVweoR0QYyBrT/Db2Pg2C6o0xlueAOqNLM6MqWUKjJaHC5n7wr47SVIioWgBnDnTKjfHa7lfNBKKVUMaHHIz+EtsOgV+Gu+7SC2W96BsLvBU58upVTJoN92uaUmwdK3YP1XUKqsrbO5zTAopZPjKaVKFi0OAGeOwx8TYfUUwNhGH3V8GspUsDoypZSyRMkuDmdOQOxUWPkeZJyElrdDl1FQzgWn5lBKKScqmcXh9DFYPRlWTYazqdDwZujygo5AUkopu5JXHNZ9BfNGwLlT0PgW6DQCqrawOiqllHIpJa84BNaEet2g07O6p6CUUpdQ8opDaEfbRSml1CXpLHFKKaXy0OKglFIqDy0OSiml8tDioJRSKg8tDkoppfLQ4qCUUioPLQ5KKaXyEGOM1TFcFRE5Auz9x+Ig4KgF4Tiau+QBmourcpdc3CUPcF4utY0xwQXdqNgWh/yISJwxJsLqOK6Vu+QBmourcpdc3CUPcL1ctFlJKaVUHloclFJK5eFuxWGq1QE4iLvkAZqLq3KXXNwlD3CxXNyqz0EppZRjuNueg1JKKQfQ4qCUKjZERKyOoaQoVsVBROqISEOr43AEEalgdQyOIiL+VsfgCCLiZ3UMjiIi1ex/i9VnPD8iUl9EogFMMW8HF5ECjy9wFcXijSMiviLyAfArECoipayO6WqJSFkRmQj8JCJPikgTq2O6WiLiJyLvAbNE5E4RCbU6pqthf03+A0wXkbtFpLbVMV0LERkAJIlIlDEmp7gWCBEpZf/c/wxUExEfq2O6Wvb32ARggYi8cb7YubLi8qYZBFQ0xtQ3xiwwxpyzOqCrISJlgc+BbGAU0BxoZWlQ1+ZVIAB4HQgHxlobzpUTkQ7AH8AZ4FOgI3CHpUFdOw/gEDABwBiTY204V607UMkY09AYM9MYc9bqgK6GiHgB72M78+a9gAG6WRpUIbh8cbD/6qkCTLdf7yIirUWkvLWRFV6udtIqQB1jzLPGmBhAsH2IixUR8RSR0kBZ4C17Lm8AHiLyorXRXbEU4ANjzChjzFxgHVARilf7toh45IrXH7gZKCsiD9vXF5tTAueKNQhYZV92g/2zX9N+3eW/u3IJBkKMMU8YYzYBZYAtFsdUIJd7gkWkkYhMFpEnRCTA/qunAdBRRB4B3gYeBr4UkaqWBluA87kAj9tz2WFbLJ+KyCqgPfCQiEwUkYrWRnt5IlJXRP4PwBiTbYw5g63Y3W5fdgLbazNARKpYF+nl5c4DwBizBfgq1xfrfqC2fZ1Lt2//4zXJwfZjA6A+UBcYCowWkfqAS/en/COXLPviUCBIRO7H9uOjNzBfRGram8tcsnjn8x47CBgRmSYiq4FeQG8R+dGVv8NcqjjY26ynAzuBlsBkEWkAvAXcCTQ0xkRhKw7bgdFWxVqQfHKZIiKNgGhgIbDRGNMIWw6ewBCrYi2I/ddnPPCUiPTPteol4HYRCbJf3wAsA3o6N8LCyS8PEfEwxqTnKgRhwCarYiysS7wm5z/PR4G1xpjVQAawDQgTEU/nR1qwy7y/vsT2uWgDtDXGPAUsAt4D1yzel8nlFmxNyluMMQ2AB7FNHDrG+VEWjksVB6ARcNQY82/gIWArcB+QBvyErT0Ye9vjH7h2k8w/c9kC3A2UxrZbmQZgjNkKHABOWBRnYezE9mYeDdwpIr4Axph1wBL+17Z9Dlt/yhGL4ixInjzOt8fn+uKsCqywL+smIpUtibRg+eVy/hd3IPCNiKwH1gCngJXGmGxrQi3Qpd5fO4Fp2Pawz39XTQMOiIi3FYEWwqVyOQXUxFasz3+H/QkctijOArlacUgEMkSkkTEmE5iH7cu0E/A0UEFE+olIN+AZbE0Ariq/XMpg64haC7QXkUj7aKW+wDHrQr08Y8yvwA/Y2uOPAcNyrX4aW5PfQyJyI7bXyiU7QC+Vh33vIdvejl0VaCgi87B1Hha3XARbQdgDDDXGDAK+wYUHCxTw/hqJ7YfTv+y/xD8Ettk/Uy4nn1yG5lq9EFtz0o0iEgEMx5W/w4wxTr8A5bBP3WG/fn4aj3rYmpAezLXuKeBV+//XYWtSWgbcZkXsDshllP3/Z4C52JpiXDqXXNe9gJuAX4D6uZZHY3ujrwLuKsZ51MdWDJYBt1udx1Xk0sC+zO8ft/GwOo9rfF2aYOvbmltMX5fcufwf8BWQ4Cqf+0vmaMGT+iKwHpgIPGBf5plr/WBszRRt7dfbYmuft/zJcnQuQLDVORSQS54vFWyd0G8BL9qvN/jnB6OY5lHf/vcJq3Nw1GvC/36oWP76XGMuLlHcHPge87U6h8JcnNasJCJVRWQ6trb4gdj6DB4QkdLmf7v0YDvQ7RAwxn5cQAgQKyJlnBVrQRyQix+AMcbytvkCcsnTpGKMOQR8BtwnIunYRl5YPmrEAXn0sy9/x3lR5+8ac0nD/poY+zfR+b9WcND7yyU4IJfe9ibMDGfGfdWcUGV97X/LAE1zLX8AWzvo+fUX7aIB/wZ+xNZ2H2V1FdVcbL+OgErAamxNSB01D81Fcyk+uVxR3kX4hFbENuRsKnADUMa+vBS2Tpp92IZ6zjn/xAFeue4vuEizi+ZyUVOZLzBQ89BcNJfik8vVXIqkWUlE+gAx2IY0xmNre78BLgx3XG2MqWmMuRuYD0y2rzs/FA9j4wrNLpqLfQikiIgxJsMYM9OK+M9zlzzssWgumotLKqpD6o8DrxljvgGwD9ese36lMSYh120XYBsK6W9sY4FdjeZiz8XYfw65AHfJAzQXzcVFXXNxsFfIfz4RfwKlRMTL/gt6J7bx4/+8bwi23bZEV/gy1Vwu3DcEF8nFXfIAzSXXfUPQXFzeNTUriYh37ifVfgAOxpgc+y7V+aaVttiOdj5/Oz8ReRnbUc/zjTEjryUOR9BcXC8Xd8kDNBf77TSX4sRcfWfNI8DvwPNAl1zLPXL974WtU2YOUMu+rJ39bwT2Dh6rL5qL6+XiLnloLppLcb1c0Z6D2FQVkdnY5lp/Eds8Lv3sldTD/G+umhBjq7o+2Obb6Sgiy4A7RMTPGBNnjDl9Jdt3JM3F9XJxlzzs8WkumkvxdgVV1sv+1xvommv5MODlXNdrA99jmwPFF1sPfw62Hv1+VldDzcU1c3GXPDQXzcVdLoV6QoHxwDvADf9YPhzbEcALsU092xzb1LRv5rpdBeBJqxPVXFwzF3fJQ3PRXNztcn7ulXzZO2fex3YqyPnA/diO9P3EGJMhIjdjm1+9DLZTK3Y0xtyZ6/6exkWmCdZcXC8Xd8kDNBfNxf0UNJTVH9vJT240xpwSkaPYTj84CPjCGDPPfrtzIrIPOCoipbC1z+W42JOqubheLu6SB2gumoubuWyHtDHmJLZ54e+3L1qObarZNpLrVJBiO5/wPcApY8w5YzuNpEsdBKK5uF4u7pIHaC6ai/spzGil2dhOMVjVGJOG7fwDZ4GqIuIlIuOwnVxkqzHmhSKM1RE0F9fjLnmA5uKq3CkXpylMcfgTSMFeeY0xa4EobCcUycI2/8hNxpiXiipIB9JcXI+75AGai6typ1ycpsDpM4wxB0XkR2CsiOzAVmEzgCz7+p+LNkTH0Vxcj7vkAZqLq3KnXJzpsqOVLrqhyE3YTnDRHnjPGPNeUQZWlDQX1+MueYDm4qrcKRdnKHRxANs8JNgmHMwq8MYuTnNxPe6SB2gursqdcilqV1QclFJKlQxOO4e0Ukqp4kOLg1JKqTy0OCillMpDi4NSSqk8tDgopZTKQ4uDUkqpPLQ4KKWUyuP/AcvDq5rCshd/AAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tracking_angles = pd.DataFrame({'with backtracking':widc,'without backtracking':wid})\n", "tracking_angles.plot()\n", "#pyephemout['apparent_elevation'].plot(label='apparent elevation')\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Max angle" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Apply angle restriction." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tracker_theta = widc.copy()\n", "tracker_theta[tracker_theta > max_angle] = max_angle\n", "tracker_theta[tracker_theta < -max_angle] = -max_angle\n", "\n", "tracking_angles['with restriction'] = tracker_theta\n", "tracking_angles.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Calculate panel normal" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calculate panel normal vector in panel x, y, z coordinates.\n", "y-axis is axis of tracker rotation. ``tracker_theta`` is a compass angle\n", "(clockwise is positive) rather than a trigonometric angle." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "panel_norm = np.array([sind(tracker_theta), \n", " tracker_theta*0,\n", " cosd(tracker_theta)])\n", "\n", "panel_norm_df = pd.DataFrame(panel_norm.T, columns=('x','y','z'), index=times)\n", "panel_norm_df.plot()\n", "plt.title('panel normal vector components in panel coordinate system')\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "sun position in vector format in panel-oriented x, y, z coordinates. We've already seen this above, but it's good to look at it again after calculating the tracker normal vector." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "Text(0.5,1,'sun position in panel coordinate system')" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sun_vec = np.array([xp, yp, zp])\n", "\n", "panel_coords = pd.DataFrame(sun_vec.T, columns=('x','y','z'), index=times)\n", "\n", "panel_coords.plot()\n", "plt.title('sun position in panel coordinate system')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### AOI" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calculate angle-of-incidence on panel" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "Text(0.5,1,'angle of incidence')" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aoi = np.degrees(np.arccos(np.abs(np.sum(sun_vec*panel_norm, axis=0))))\n", "aoi = pd.Series(aoi, index=times)\n", "\n", "aoi.plot()\n", "plt.title('angle of incidence')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The power produced by the tracker will be primarily determined by the cosine of the angle of incidence." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cosd(aoi).plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Surface tilt and azimuth" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calculate panel tilt ``surface_tilt`` and azimuth ``surface_azimuth``\n", "in a coordinate system where the panel tilt is the \n", "angle from horizontal, and the panel azimuth is\n", "the compass angle (clockwise from north) to the projection \n", "of the panel's normal to the earth's surface. \n", "These outputs are provided for convenience and comparison \n", "with other PV software which use these angle conventions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Project normal vector to earth surface. First rotate about x-axis by angle -axis_tilt so that y-axis is also parallel to earth surface, then project." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "cos(axis_azimuth_south)=0.984807753012208, sin(axis_azimuth_south)=-0.17364817766693033\n", "cos(axis_tilt)=0.984807753012208, sin(axis_tilt)=0.17364817766693033\n" ] }, { "data": { "text/plain": [ "Text(0.5,1,'panel normal vector projected to surface in Earth coordinate system')" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Calculate standard rotation matrix\n", "print('cos(axis_azimuth_south)={}, sin(axis_azimuth_south)={}'\n", " .format(cosd(axis_azimuth_south), sind(axis_azimuth_south)))\n", "print('cos(axis_tilt)={}, sin(axis_tilt)={}'\n", " .format(cosd(axis_tilt), sind(axis_tilt)))\n", "\n", "rot_x = np.array([[1, 0, 0], \n", " [0, cosd(-axis_tilt), -sind(-axis_tilt)], \n", " [0, sind(-axis_tilt), cosd(-axis_tilt)]])\n", "\n", "# panel_norm_earth contains the normal vector expressed in earth-surface coordinates\n", "# (z normal to surface, y aligned with tracker axis parallel to earth)\n", "panel_norm_earth = np.dot(rot_x, panel_norm).T\n", "\n", "# projection to plane tangent to earth surface,\n", "# in earth surface coordinates\n", "projected_normal = np.array([panel_norm_earth[:,0], panel_norm_earth[:,1], panel_norm_earth[:,2]*0]).T\n", "\n", "# calculate magnitudes\n", "panel_norm_earth_mag = np.sqrt(np.nansum(panel_norm_earth**2, axis=1))\n", "projected_normal_mag = np.sqrt(np.nansum(projected_normal**2, axis=1))\n", "#print('panel_norm_earth_mag={}, projected_normal_mag={}'.format(panel_norm_earth_mag, projected_normal_mag))\n", "\n", "projected_normal = (projected_normal.T / projected_normal_mag).T\n", "\n", "panel_norm_earth_df = pd.DataFrame(panel_norm_earth, columns=('x','y','z'), index=times)\n", "panel_norm_earth_df.plot()\n", "plt.title('panel normal vector components in Earth coordinate system')\n", "\n", "projected_normal_df = pd.DataFrame(projected_normal, columns=('x','y','z'), index=times)\n", "projected_normal_df.plot()\n", "plt.title('panel normal vector projected to surface in Earth coordinate system')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Surface azimuth" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calculate surface_azimuth. This takes a few steps. We need to take the arctan, rotate from the panel system to the south-facing Earth system and then rotate the Earth system to a north-facing Earth system. We use the ``arctan2`` function, but PVLIB MATLAB uses ``arctan``." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# calculation of surface_azimuth\n", "# 1. Find the angle.\n", "surface_azimuth = pd.Series(np.degrees(np.arctan2(projected_normal[:,1], projected_normal[:,0])), index=times)\n", "surface_azimuth.plot(label='orig')\n", "\n", "# 2. Rotate 0 reference from panel's x axis to it's y axis and\n", "# then back to North.\n", "surface_azimuth = 90 - surface_azimuth + axis_azimuth\n", "\n", "# 3. Map azimuth into [0,360) domain.\n", "surface_azimuth[surface_azimuth<0] += 360\n", "surface_azimuth[surface_azimuth>=360] -= 360\n", "surface_azimuth.plot(label='compass angle north')\n", "\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "``arctan`` version" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/holmgren/miniconda3/envs/pvlibfx36/lib/python3.6/site-packages/ipykernel_launcher.py:7: RuntimeWarning: invalid value encountered in greater\n", " import sys\n", "/Users/holmgren/miniconda3/envs/pvlibfx36/lib/python3.6/site-packages/ipykernel_launcher.py:8: RuntimeWarning: invalid value encountered in less\n", " \n", "/Users/holmgren/miniconda3/envs/pvlibfx36/lib/python3.6/site-packages/ipykernel_launcher.py:9: RuntimeWarning: invalid value encountered in greater\n", " if __name__ == '__main__':\n", "/Users/holmgren/miniconda3/envs/pvlibfx36/lib/python3.6/site-packages/ipykernel_launcher.py:10: RuntimeWarning: invalid value encountered in less\n", " # Remove the CWD from sys.path while we load stuff.\n", "/Users/holmgren/miniconda3/envs/pvlibfx36/lib/python3.6/site-packages/ipykernel_launcher.py:14: RuntimeWarning: invalid value encountered in less\n", " \n", "/Users/holmgren/miniconda3/envs/pvlibfx36/lib/python3.6/site-packages/ipykernel_launcher.py:14: RuntimeWarning: invalid value encountered in greater\n", " \n", "/Users/holmgren/miniconda3/envs/pvlibfx36/lib/python3.6/site-packages/ipykernel_launcher.py:15: RuntimeWarning: invalid value encountered in less\n", " from ipykernel import kernelapp as app\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# calculation of surface_azimuth\n", "# 1. Find the angle.\n", "surface_azimuth = pd.Series(np.degrees(np.arctan(projected_normal[:,1]/projected_normal[:,0])), index=times)\n", "surface_azimuth.plot(label='orig')\n", "\n", "# 2. Clean up atan when x-coord or y-coord is zero\n", "surface_azimuth[(projected_normal[:,0]==0) & (projected_normal[:,1]>0)] = 90\n", "surface_azimuth[(projected_normal[:,0]==0) & (projected_normal[:,1]<0)] = -90\n", "surface_azimuth[(projected_normal[:,1]==0) & (projected_normal[:,0]>0)] = 0\n", "surface_azimuth[(projected_normal[:,1]==0) & (projected_normal[:,0]<0)] = 180\n", "surface_azimuth.plot(label='x or y 0 corrected')\n", "\n", "# 3. Correct atan for QII and QIII\n", "surface_azimuth[(projected_normal[:,0]<0) & (projected_normal[:,1]>0)] += 180 # QII\n", "surface_azimuth[(projected_normal[:,0]<0) & (projected_normal[:,1]<0)] += 180 # QIII\n", "surface_azimuth.plot(label='q2, q3 corrected')\n", "\n", "# 4. Skip to below\n", "\n", "# From PVLIB MATLAB...\n", "# at this point surface_azimuth contains angles between -90 and +270,\n", "# where 0 is along the positive x-axis,\n", "# the y-axis is in the direction of the tracker azimuth,\n", "# and positive angles are rotations from the positive x axis towards\n", "# the positive y-axis.\n", "# Adjust to compass angles\n", "# (clockwise rotation from 0 along the positive y-axis)\n", "# surface_azimuth[surface_azimuth<=90] = 90 - surface_azimuth[surface_azimuth<=90]\n", "# surface_azimuth[surface_azimuth>90] = 450 - surface_azimuth[surface_azimuth>90]\n", "\n", "# finally rotate to align y-axis with true north\n", "# PVLIB_MATLAB has this latitude correction,\n", "# but I don't think it's latitude dependent if you always\n", "# specify axis_azimuth with respect to North.\n", "# if latitude > 0 or True:\n", "# surface_azimuth = surface_azimuth - axis_azimuth\n", "# else:\n", "# surface_azimuth = surface_azimuth - axis_azimuth - 180\n", "# surface_azimuth[surface_azimuth<0] = 360 + surface_azimuth[surface_azimuth<0]\n", "\n", "# the commented code above is mostly part of PVLIB_MATLAB.\n", "# My (wholmgren) take is that it can be done more simply.\n", "# Say that we're pointing along the postive x axis (likely west).\n", "# We just need to rotate 90 degrees to get from the x axis\n", "# to the y axis (likely south),\n", "# and then add the axis_azimuth to get back to North.\n", "# Anything left over is the azimuth that we want,\n", "# and we can map it into the [0,360) domain.\n", "\n", "\n", "# 4. Rotate 0 reference from panel's x axis to it's y axis and\n", "# then back to North.\n", "surface_azimuth = 90 - surface_azimuth + axis_azimuth\n", "\n", "# 5. Map azimuth into [0,360) domain.\n", "surface_azimuth[surface_azimuth<0] += 360\n", "surface_azimuth[surface_azimuth>=360] -= 360\n", "surface_azimuth.plot(label='compass angle north')\n", "\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The final ``surface_azimuth`` is given by the curve labeled \"compass angle north\". This is in degrees East of North." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Surface tilt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calculate ``surface_tilt``." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "surface_tilt = (90 - np.degrees(np.arccos(\n", " pd.DataFrame(panel_norm_earth * projected_normal, index=times).sum(axis=1))))\n", "\n", "surface_tilt.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "According to the MATLAB code, surface_tilt is \"The angle between the panel surface and the earth surface, accounting for panel rotation.\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## ``tracking.singleaxis`` examples " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With backtracking" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "tracker_data = pvlib.tracking.singleaxis(ephemout['apparent_zenith'], ephemout['azimuth'],\n", " axis_tilt=0, axis_azimuth=180, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)" ] }, { "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": {}, "output_type": "display_data" } ], "source": [ "tracker_data.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Without backtracking" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tracker_data = pvlib.tracking.singleaxis(ephemout['apparent_zenith'], ephemout['azimuth'],\n", " axis_tilt=0, axis_azimuth=180, max_angle=90,\n", " backtrack=False, gcr=2.0/7.0)\n", "tracker_data.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Explore ground cover ratio" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/holmgren/git_repos/pvlib2/pvlib-python/pvlib/tracking.py:409: RuntimeWarning: divide by zero encountered in double_scalars\n", " axes_distance = 1/gcr\n" ] } ], "source": [ "aois = pd.DataFrame(index=ephemout.index)\n", "\n", "for gcr in np.linspace(0, 1, 6):\n", " tracker_data = pvlib.tracking.singleaxis(ephemout['apparent_zenith'], ephemout['azimuth'],\n", " axis_tilt=0, axis_azimuth=180, max_angle=90,\n", " backtrack=True, gcr=gcr)\n", " aois[gcr] = tracker_data['aoi']" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aois.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ensure that max_angle works." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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rV5OQkEBKSgoAn3zyyUl/Vm5uLnFxcZSUlDBjxozy5f379+eVV6zKVmlpKTk5OfTv35/Zs2eTkZEBwMGDB6vsAM/JySEiIoKYmBjS09PLR63Nzs5m3LhxvPfee+Wz6FVHs2bN2Lx5M0VFRWRnZ7N48eLy16KiosjNza32Z3s7p3HiNE49u0n5vBo5zBGRSOAT4A5jTE7ZEWNlq1ayzByzwJhpwDSApKSkY173Bhs2bOCee+4hICCA4OBgXnnlFQoKCpg4cSKPP/44PXv2POnPeuSRR+jZsyfNmjWjU6dO5TvXF154gUmTJvHmm28SGBjIK6+8wrnnnsujjz7KgAEDcDqdBAcH87///Y9mzZod87ldunSha9eudOjQgRYtWtCnTx8A5s6dy86dO7nhhhvK1127du0p/w2aNm3K2LFj6dy5M61ataJr167lr02aNIlBgwYRFxfHkiVLTvmzvZ3DadWE9Owm5evEatnx4BeIBAOfA18ZY/7jWvYLcKExZq+IxAFLjTFtROQ11+MPj16vqs9PSkoyycnJRyzbsmUL7dq181CJlJ185bc9VHKIXh/04q7udzGh4wS7w1HqGCKSYoxJOtF6Hm1uEqvK8CawpSxBuMwHxrsejwfmVVh+rVh6Adm+2B+hlNYklL/w9BbcB/gLsEFEytor7geeBGaKyERgFzDG9doCYDDWKbD5wHUeju+M0bNnT4qKio5Y9v7779OpUyebIvJvJc4SQJOE8n2ePrvpByrvZwDoX8n6BrjVkzGdqVauXGl3CGeUspqEdlwrX6dXXCvlAVqTUP5Ck4RSHqB9EspfaJJQygM0SSh/oUnCS9XUUOGPP/74Ec979+4NwI4dO+jYsSNgXSOxYMECj8bhb7RPQvkLTRJexuFwsG/fPpYvX8769ev5+9//7tHvOzpJlI0kW5EmiVOnfRLKX/j9Frzv8ccp2uLe+SRC27Wl0f33H3edQ4cOMXbsWFJTUyktLeWf//wnkydPJjk5mXr16pGcnMzdd9/N0qVLmTp1KmlpaezYsYN69eqxcePG8qHCX3rpJbZu3cq0adMoLi7m7LPP5v333yc8PJz09HRuuumm8gH8XnnlFXr37s306dN58cUXKS4upmfPnrz88suVjr907733UlBQQGJiIh06dGDGjBlERkaSl5dXvk5xcTEPPfQQBQUF/PDDD9x3331cccUVbv17+iNtblL+QmsSHrJw4UIaN27MunXr2LhxIwMHDjzu+ikpKcybN48PPviA+fPn07JlS9auXUvfvn0ZNWoUq1atYt26dbRr144333wTgL/97W9ccMEFrFu3jtWrV9OhQwe2bNnCxx9/zI8//sjatWsJDAw8Yrynip588klq1arF2rVrq1wnJCSEhx9+mCuuuIK1a9dqgjhJ2tyk/IXfH+ac6IjfUzp16sTdd9/N5MmTueyyy+jbt+9x1z/RUOEPPvggWVlZ5OXlcemllwLWUOHvvfcecHio8Pfff798qHCAgoICGjRoUOnnKs8pa27SJKF8nd8nCbv4wlDhynO0uUn5C21u8hBfGCocrHkcSkpKjvv9/j6stydoklD+QpOEh2zYsKF8nunHHnuMBx98kClTpnD77bfTt2/fKifyqUzZUOGXXHIJbdu2LV/+wgsvsGTJEjp16kT37t3ZtGkT7du3Lx8qvHPnzlxyySXs3Vv1GImTJk2ic+fOXH311VWu069fPzZv3kxiYiIff/zxScd9Jisx2tyk/IPHhwr3NB0q/MziK7/tZ9s+4/4f7ufzkZ/TLPrYuTyUsptXDBWu1JlKm5uUv9At+AyhQ4XXLIdxJQmd41r5ON2CzxA6VHjNKil19UkEap+E8m1+29zk630t6li+9Jtqc5PyF36ZJMLCwjhw4IBP7VTU8RljOHDgAGFhYXaHclK0uUn5C7/cguPj40lNTSUzM9PuUJQbhYWFER8fb3cYJ6V8WA5tblI+zi+TRHBwMM2bN7c7DHUGKx8FVmsSysd5tLlJRN4SkQwR2Vhh2VQR2SMia123wRVeu09EfheRX0TkUk/GppQnOZwOgiQIkaqmeFfKN3i6T+IdoLLhT58zxiS6bgsARKQ9MA7o4HrPyyJy8pclK+VFHE6Hdlorv+DRJGGMWQYcPMnVhwMfGWOKjDHbgd+BczwWnFIe5HA6dEgO5RfsOrvpNhFZ72qOquNa1gTYXWGdVNcypXxOibNEaxLKL9iRJF4BWgKJwF7gWdfyyhpvKz2HVUQmiUiyiCTrGUzKG2lzk/IXNZ4kjDHpxphSY4wTeJ3DTUqpQNMKq8YDaVV8xjRjTJIxJql+/fqeDVipaihxlmhzk/ILNZ4kRCSuwtORQNmZT/OBcSISKiLNgVbAzzUdn1LuoM1Nyl94dCsWkQ+BC4F6IpIKTAEuFJFErKakHcCNAMaYTSIyE9gMOIBbjTGlnoxPKU/R5iblLzy6FRtjrqxk8ZvHWf8x4DHPRaRUzdAkofyFX47dpJTd9BRY5S80SSjlAdonofyFJgmlPECbm5S/0CShlAdoklD+QpOEUh6g10kof6FJQikP0JqE8heaJJTyAD27SfkLTRJKeYDDaE1C+QdNEkp5QEmp9kko/6BJQikP0D4J5S80SSjlAQ7j0PmtlV/QJKGUB5Q4SwgO1OYm5fs0SSjlAQ6n1iSUf9AkoZQH6NhNyl9oklDKzYwx1nUS2tyk/IAmCaXczGEcANrcpPyCJgml3MzhdCUJbW5SfkCThFJupklC+RNNEkq5WVmS0CuulT/QJKGUm5U4SwCtSSj/4NEkISJviUiGiGyssKyuiHwjIr+57uu4louIvCgiv4vIehHp5snYlPIUrUkof+LpmsQ7wMCjlt0LLDbGtAIWu54DDAJauW6TgFc8HJtSHqF9EsqfeDRJGGOWAQePWjwceNf1+F1gRIXl7xnLCqC2iMR5Mj6lPEFrEsqf2NEn0dAYsxfAdd/AtbwJsLvCeqmuZccQkUkikiwiyZmZmR4NVqlTpX0Syp94U8e1VLLMVLaiMWaaMSbJGJNUv359D4el1KnR5iblT+xIEullzUiu+wzX8lSgaYX14oG0Go5NqdNWVpPQ5iblD+xIEvOB8a7H44F5FZZf6zrLqReQXdYspZQv0eYm5U88uhWLyIfAhUA9EUkFpgBPAjNFZCKwCxjjWn0BMBj4HcgHrvNkbHnFeWQXZ3vyK9QZKj0/HdAkofyDR7diY8yVVbzUv5J1DXCrJ+Op6LM/PuPxlY/X1NepM1B4ULjdISh/VXwI5v8Nev8fNE706FedsYc6Peu255H4QdCst92hKD8UFRxF27pt7Q5D+aPcdPhgLOxbDy0u1CThKS1+WUSL71+D0hC45BGQyk6uUkopL7L/N3h/FOTvh3EfQJtBHv/KMzZJ0OfvkLMXlr8E+X/C0Bcg8Mz9cyilvNzedVaCEIHrFkDjrjXytWfuXjEgAAY/DeGx8N2TUJgFl78JwWF2R6aUUkfauRw+uALCYuAvc6He2TX21d50MV3NE4F+98HAp2Dr5zBjNBTl2h2VUkod9uvXVg0isiFcv7BGEwSc6UmiTK+bYNTrVraefjkU5tgdkVJKweZ58NGVUL+1lSBi4ms8BE0SZTqPhTFvw54UmD4KCvUaCqWUjTbNgVnXQZPuMP4ziKhnSxiaJCpqPxzGvAtpa+H9kVCQZXdESqkz0cZPYfZEaHoOXPOJ1RdhE00SR2t3GVzxPuzbAO8Nh/yjRzpXSikP2jAbPvkrNO0JV8+C0Chbw9EkUZk2g+CKGZCxWfsolFI1Z+Mn8OkNcFYvr0gQoEmiaq0HwNj3rasaPxhrXQavlFKesnUBfDoJmpYliEi7IwI0SRxfm4Fw+RuweyV8dBWUFNodkVLKH21bArPGQ1wXuHomhETYHVE5TRIn0mEkDH8Z/lgKM68FR7HdESml/MnOn6yD0Hqt4erZXtHEVJEmiZOReCUM+Q/89hXMuRGcTrsjUkr5g7Q1VnN2dGP4yxwIr2t3RMc4c4flOFU9JlpXYy+aYl35OPAJHRRQKVV9B7ZZJ8aE1YZr50FkA7sjqpQmiVPR53bIS4cVL0N0nPVcKaVOVV6mlSCMsWoQNlxJfbI0SZwKERjwGOTug28egshG0OUKu6NSSvmS4kNWE1PuXhj/eY2PxXSqNEmcqoAAGPkqHMqEebdYl8qffcxEe0opdaxShzXUxt61cMV0aNrD7ohOSDuuqyMoFMbNgPptYeZ4yPzF7oiUUt7OGFhwt3UCzOCnoe0QuyM6KbYlCRHZISIbRGStiCS7ltUVkW9E5DfXfR274juhsBi46mNr/okPr9RxnpRSx7fqDUh5G/rcAT3+anc0J83umkQ/Y0yiMSbJ9fxeYLExphWw2PXce8XEW1dlZ+2CTyaCs9TuiJRS3mjnclh4L7S6FPpPsTuaU2J3kjjacOBd1+N3gRE2xnJymp0LQ56B3xfB4n/ZHY1Syttk77EuxK3dDEZNs/o1fYid0RrgaxFJEZFJrmUNjTF7AVz3lZ44LCKTRCRZRJIzMzNrKNzj6D4BkibCjy/A+ll2R6OU8haOIpj5FygpgHEfQK3adkd0yuw8u6mPMSZNRBoA34jI1pN9ozFmGjANICkpyXgqwFMy8EnI3Arzb4OGHaBhe7sjUkrZyRj44i5rIrMrpkODtnZHVC22JQljTJrrPkNE5gDnAOkiEmeM2SsicUCGXfGdsqAQGPMOvNIHZl8HNyyBkHAASvPyyHjq3zgOHLA3Rg8JqFWLkBbNCWvXnog+vQkIDbU7JOUlnE4nv65Yz/bFyyhZvw4p9M9BMp2169L33w9RN67+4YXrP4Y170Pfu6HdUPuCO01iTM0fiItIBBBgjMl1Pf4GeBjoDxwwxjwpIvcCdY0x/zjeZyUlJZnk5GTPB32ytn1rzWrXfQIMfQHjdJJ62/+R9913hLZubXd0HuHMyaFkzx4AAiIiiLr4YqIvG0LEueciQXopzpnot5/Xs+XDOUQtX0Kj7HQADobXpiDcuwavc5cGB9M4GBlL09depWXXdnBwO7zaF+I6W1OPBgTaHeIxRCSlwklDVbLrP7ghMEessY+CgA+MMQtFZBUwU0QmAruAMTbFV30tL7JOcfvxeWg1gP2LdpD37bc0fOAB6v7lGruj8xhnfj75a9aQ88UCcr/5hux58wisU4foQQOJHjKEWl27Ij7WYadOzfYNv7JpxieEff8tTQ6k0hJhZ9M27Bo5lrZDB9CmXQsC/HQbWP3FUmrdfzcHx1+DefMtzl53F0gAjHzNKxPEqbClJuFOXleTAGs48TcuIndjOqmLgogZMYK4Jx5HzpABAZ3FxRxatozsL74gb8lSTGEhQXFxRA8aRPSQwYS1b3/G/C383b4/drPmvdkELFnEWel/ALArriXOCy+m618up1GLpjZHWHO2r/uFjGuvJjBc6Nb/NwKueAM6jbY7rCqdbE1Ck4SHFP38NTuu/z9CGkbRbMGPZ2w7vfPQIXK//Zacz78g78cfweEgpHlzogcPJnrIEEJbNLc7RHWKcg5kseq9Tyha+CXNdm4mAENqvaYUn9+fzteMpmn7lnaHaJvkN98g4ulncbaJpsO8lXaHc1yaJGxUmpvLjrFXULp/L80v3EHw+Deg4+V2h2W70qwscr7+mpwvFpD/889gDKHt2xEzZAjRQ4YQ3KiR3SGqKhQVFLLq4wUcnD+fs7amEOp0kBFVj6ze/Wh39Rhan9PJ7hDt53TCu0NJ+3wL2ZtC2XntbQy8/1a7o6qSJgmbOIuL2X3DJPJTUmj25uuEr78fDv4Bt6yEqIZ2h+c1StIzyF34JdlfLKBw/XoQIbxnT2KGDSNqwAACI71n+sYzVWmpk7ULl5E681Pi1vxIVHE+OaER7O12HmeNGUXiwPP8to+hWpY+BUsfp3Tw83z5r69J2LaO7Acfp8813nlNsCYJGxinkz133UXulwtp/O+niBk2DDJ/hdf6Wh3a4z7QiYoqUbxrF9mffUb2/PmU7NyFhIUR1b8/McOHEdG7t54hVcO2rlzPL9NnUeenJdTPO0BRYDC72vUgdsRQeoweREjYmdl0elwrX4Mv/wGdx8HIV8nNymXFsDHE/rmPwOdepsslfex9703PAAAejklEQVSO8BiaJGqYcTrZN/VfZM2cSYN77iF24vWHX1z+X/j6AWsO26Y94axe0LQXxLbUpFGBMYaCtWvJnj+f3AVfUpqdTWC9esQMGULM8GGEtmt3+h3epQ4ozrVmGax4KykAR6HrvggcBVBSaN07ig6/XloCptQap8s4XfcVnptSq9nBOK2zWwICQAKtM1zkqMcBgdbzwBBrZOHgWhAUZt2CwyCo1pHLg2tZ8x9XvIVEQeDpJ9F923eT8tZMgpd8TdP9uyhF2Nm8I2GDBnHONaOIqhtz2t/hV0oKrKlHd62A3Svh14XQ9jIY827577Fveyq/jhlHraJ8wv/3Gh3O965hwTVJ1CDjdLLv4YfJ+uhjYidNov7f7zhyZ+YstUaA/H2xtUEVukaMDa/nSho9raTRONHaKShMcTF5y5aRPW8euUu/g5ISQludTfSwYcRcdhnBdcIh/wDk/2ndFxx0PT94+HlBViXJ4NCpBRIQ7NpJh1o77cDgI3fwRySBijv/gCOTyBEJxVkhsZRaicdReDgpOR2nFmNwxLHJo1ZtqFUXwmOteZPDY13PXbdadckvCeLnGfPInz+Ps7ZvJBDD7gYJOPtfSrfxY2iQ0OTU4vBneRmHE8LulZC2Fpwl1muxreDsi+HiqVZyr2Dnpt/Zfe21hDiKifrfa7Q7r3uNh14VTRI1xJSWsm/qVLJmzSb2hhuof+ffj3+063TC/l9h9wrYtdK6P2idOkhAsDWkR+Ouh28N2lk7pjNFUR7kpEFumnWfs4fSfTvJWbGV7DXpFOx1AIbwhsXEJOQTFV9IYHCFbVgCy3eChMVAWDSERlfYgboeh0UfeTRefrTuOoIPdh3R23GOe6nDShplt7LkUVJwbNIryoWiHNfN9bwwBwqzXcnyTysRuRgDBQeCyd4eTs6uWjhLAiAcAttGE9v7bGLbnG3N4R7V0Lovu4VGnTm13oIs2LvOqimU3bJ2Wq8FhkKTbtbBXdktIva4H/fH2q3svf46QkqKCHjiWbpf1q8GCnFimiRqgLO4mLR7/kHuV18Re9ON1L/99uo1h+RlWEcne1IOb5SF2dZrgaHQqCM0aO+6tbMSSUR93/qnNcbaYeXsce38K9zKE8JeKMo+9r216kJ0E4iOo7gomuyNOWSv2kVJZg4SGkJU3x7UHjaE8D4XILVq+9womx7ldEJRNmkbN/Dr9E8I+2klMTnZOAIDKDq7AQ161Ce+OQQcyrS2w7z0w0fIFQXVgqhG1vD40U0gponrvsLzsNq+tU06S+HPHdaYaxmbIX2zNWNc2UEbWCO3Nu4KTbpbzcRxXapV29+1eRt/XHc9tXMPkjf5Yc4bP9J95agmTRIeVpqVRertd5C/ciUN7p1M7IQJ7vtwY6wNtSxh7F1nbcT5FcZ+Co+1kkbdFlAnAeo2t+7rNK/5kSadpdbOJWfv4SRQccefs8eaz9dx1Lg9EmAdpUY3tm5RrntXQrCWxVlH+UcxxlCwZi3Z8+aRs2ABztxcgps0IWbkSGJGjCAkXptK8rJzWfnepxR+/hkJrusZtjdpQ9DgofSccDkxsZVsJ2XJPC/ddcuw5nTPS7d+w+w9kJ1qPTZHzZ8SHFEheTSB6HjrPiYeYppay13jmdUYY+DQfisZlN0OboOMLdaMko6Cw+vWPstKAmW1+LhEq1bqJpm797Lm6utpnLmLvTfcySV3TnTbZ1eHJgkPKtq+ndSbbqYkLY24xx61zmKqCXkZVrLI2ALpm6wjoIPbIX//keuF1bb+MSPqWTWOiAaHH4fHWv+owRHWfXmTilg7bYDSYlfnrau5o6zpovx20LqV7Thy9x27wwgMOWrHX/HWxNr5RzZ0S6ers7CQ3G8WkT3nUw79tAKMIbxXL2qPGknUJZcQUOvYJOOvSkudrP5iKXs+nk3TdcsJdxSRGRlLVt8BdL5uHAmd3TR+mLPU+t1zXEkjZ4+VQHJSXfd7rO2Vo/YvteoeThoxTSCyweG+klp1rWbA4PDDHfWBIUfWTozT2jaLD1nNbyX5VlI7lGklg0OZ1jZ6aL91kPLnjmP7oaLirKmHy2rmDdpD/TYQGumev81x5P6Zw7Jx19Ni5ya2Db2GwU/dZ9tpxJokPOTQihWk3n4HEhBA/P/+S3i3bjX23VUqzLHaTA9udx0tbbf+gQ9lWre8zFPvsK1KYIjV4R5e10o80U0qqQk0tpKRDU0PJWlpZM2dS/acuZTs3k1AZCTRgwYRM2oktRIT/XY4kJ2btrHurQ+IWfY1DXL3UxgUwq7OvWlyxeV0HdKPwCAb+lYcxVaNsqz2kb37cFIpW1ZZ8+LpCKrlOjCKtZJBnYTDt9rNrNpCTddmjlJUUMhX195Kqw3L+a1DLy568wUia0fXeByaJNzMGEPWzFnse+QRQhKa0fTVVwmJj/f497pN8SHr6KrgIBTnW0dgZUdjGNfpm8Z6HBjqOpsnzLoPi3GdJRMLIRE+0e5snE7yk5PJ/nQOOV99hSkoIKR5c2JGjSRm2HCCG1Y6n5VPKcg7xIp3PqFw/lwSdm0BYPtZ7Qi7bBg9r72ciNo+MOKqo8iqCeQftLbNwpzDnfRlpyMfsb2JdVJBcLhV0wgOt2ogEbFWcgjxjYswnU4nXz74NAmfvsveevG0nvYKZ9XwcCaaJNzIWVDAvocfIXvOHCL69qXJf54lMMoH/gEVAKV5h8hd+CVZn86hYPVqCAggou951B45isiL+hEQEmJ3iKdky7JV/PbOB8St+o7IkgIyouqRff4AEideVeM7GnV6fpw+n9CnplAaEEjA1CfoMfKSGvtuTRJuUrR9O3tuv4Oi336j3i23UO+Wm5FA3x7690xWtH072XPmkj1vHo70dAJjYogeOpTaoy8nrK33zhyWlXGAla9/SMDCz4jP3EVxQBA72p9Dw3Fj6DHiEnuak5Rb/J6yid233kb9rHR2DL2aQU/cWyO/pyYJN8hZ+BV7H3gACQqi8TNPE9m3r0e+R9U8U1rKoeXLyfr0U/IWLcaUlBDWsSO1R48m+rIhBEZ6vhPzRJxOJ6vnLybtw5mctWEFoU4He2LjKb50KD1vuIrYuHp2h6jcJOdgNksn3Umrjcv5o1kHkl57kYYJjT36nZokToMzP5/0J58ia+ZMwjp3Jv755whu7NkfTNnH8eef5Hz2OVmzZlH0229IrVpEDxxI7TGjrcmSargPZt+2XSS/PoOob7+kQU4mh4LDSO12Pi2uvZKO/c7RQfX8lNPp5Junp9Hw3f9REBpO4IMPc87ll3rs+zRJVFPBpk2k3X0PxTt2EDvxeur/7W+Ij7VZq+oxxlC4YQNZs2aT88UXOPPzCWnenNqjRxMzYjhBsce/svZ0lBQWseKjz8me/QkJ29YRaJxsj29DyGXDOfe6MUTE2F+zUTVjy/LV7LvzLhpkpbOt33AGPPsQYeHuP41bk8QpMqWlHHznHTKef4GgOnVo/O+niOjVyw0RKl/kPHSInIVfkTV7NgVr1kBQEFEXXUTtMaOtkWnd1C/1++rNbH5jOvV/WkztghyyakWT2ftiOvz1GmuuZHVGyv0zh29vf4DWPy9iT2w8TZ560u3jPmmSOAVFf2xn7wMPULBmDVGXXEyjhx8mqE4dN0WofF3R77+TNfsTsufNo/TPPwmKi6P2yJHUvnwUwU1O/cruvOxcfnp7No7P5pKw51dKJYDtZydSe/Roeo0bQnCo1lyV5cfpcwl45nEiivPZPWo8l075O0HB7hk632eThIgMBF4AAoE3jDFPHm/900kSZbWHzBdfQkJDaXj/fcQMH+63F1yp0+MsLibv22/Jmv0Jh378EYCI3r2pPWY0kRdddNxTaZ1OJxu/Xckf739I09XfE15SSEZ0ffIuGkz3SVefUXNBq1OTuXsvK269h7N/TWFXwxac9cQjtOt9+hfx+mSSEJFA4FfgEiAVWAVcaYzZXNV7qpskin7/nbQHHqBw3Xoi+/en0ZSHCG7g+xdYqZpRsmcPWZ/OIevTT3Hs3UtgnTrEDB9O7dGXE3r22eXrHdybyYrXPyDkq89pciDVmsCnYy+aXD2OrpddqJ3Q6qQ4nU6WvjydiNdfJLy4gO0Xj+TiJ+4nPLL6V4/7apI4F5hqjLnU9fw+AGPME1W9p7pJImv2bDKeeZaGDz5I9JDBWntQ1WKdSvsTWbNnk/vtt1BSQlhiIn92PoeMn36m8bYNBDtLSa3fDOegofT86zhqN/BcB7jybwf2ZPDDXf+k9dplpEc3IOqfU+g+9KJqfdbJJglvmxeyCbC7wvNUoOfRK4nIJGASwFlnnVWtL4oeNYqSXn2Jidd5p1X1SWAgkX3PI7Lveezdkcaq12cQuegL4tZOo1ZEXf7oM4jWf7mCS84/4f+iUicU26QBwz96jZWzFhLw78fI3pnq8e/0tiRR2eH8MVUdY8w0YBpYNYnqfNFHq1J58sstTBnagVHdmmhNQlWLo9TJkl8y+XjVLr7dmoHTtKf3xPO4qlUE/fu0p1aIt/2LKX/Qc8xA8gedT1h42IlXPk3etgWnAhV78OKBNE98Ua8WdWndMIq7Zq3j8/VpPD6qE3ExZ86Q0ur07Nh/iJnJu5mdkkpGbhENokK5+cKWjE1qSrNY3xhkTvm20+mPOBXe1icRhNVx3R/Yg9VxfZUxZlNV7zmds5tKnYZ3l+/g319tJTgggAcva8fYpKZaq1CVKiwpZeHGfXy0ahcr/jhIYIDQr00DxvVoyoVt6hMUqJ3Qynf4ZJ+EMcYhIrcBX2GdAvvW8RLE6QoMEK4/rzkXtW3APz5Zz+RPNvDN5nSeurwzsZGnPkWh8k+b03L4eNUu5qzZQ06hg7PqhnPPpW0Y3T2ehtGer+4rZSevqklUh7uuuHY6DW8v38FTX24lJjyYZ8d04fzW9d0QofJFuYUlzF+XxserdrM+NZuQoAAGdWzEFT2a0qt5LAEBWttUvs0nT4GtDneP3bRlbw5/+3ANv2XkMfG85vxjYBtCdRjmM4IxhpSdf/LRqt18sX4vBSWltG0UxbgeTRnRtQm1w/VKaOU/fLK5yRu0i4vms/87jycWbOHNH7bz8/aDvHx1N5rWtXfKQ+U5+/OKmLN6Dx+t2sW2zENEhAQyomsTxvVoSuf4GO2jUmc0rUkcx9eb9nHXrHUEiPCfsV3o306vqfAXjlInS3/JZFbKbr7dmkFJqaF7szpc0aMpQzrFERGqx0/Kv2lNwg0GdGjEF42iuXlGChPfTeaWC1ty5yWt9SwWH/Zbei6zUlL5dPUe9ucVUS8yhAm9Exib1JRWDXVKWqWOpkniBM6KDeeTm3vzr8828fLSbaxLzeLlq7oTEx5sd2jqJOUUlvDZujRmJaeydncWQQFCv7YNGJtknboarElfqSppc9MpmLlqNw/M3UDTuuG8Nb4HCfX0oilv5XQalm87wKyU3SzcuI8ih5M2DaMYkxTPiK5NqKenOKsznDY3ecDYHk1pFhvOjdNTGPHyj7x6TXd6tdDB2rzJrgP5zE7ZzSer97Anq4DosCDGJjVlTFI8nZpoJ7RSp0prEtWw88Ahrn9nFbsO5vP4yE6MSdK5AOyUX+xgwYZ9zErezcrtBxGBvq3qM6Z7PJe0b0hYsJ7CrNTRtCbhQc1iI/j0lj7cOmM198xez4FDxdx0QUu7wzqjOJ2Gn3cc5NPVqXyxfi+HiktJiLWuhB7VrYmOw6WUm2iSqKaYWsG8NaEHd81ax5NfbiUrv4TJA9toc4aH/Z6Rx5w1qcxdk8aerAIiQgIZ3CmOMUlN6ZFQR//+SrmZJonTEBIUwPNXJBIdFsSr322j1Onk/sHtdEflZgfyivhsXRqfrtnD+tRsAlzNSf8Y2IZL2jckXIfjVspj9L/rNAUGCI+O6EhQgPD699sJEOHeQW01UZymwpJSFm1JZ87qPXz3ayYOp6F9XDQPDmnHsC6NaaAD6ylVIzRJuIGIMHVYB5wGXlv2BzHhwdxy4dknfqM6gtNpWLXjIHPW7OGL9XvJLXLQKDqMiX2bM6prPG0a6cVuStU0TRJuIiL8a1gHcgpL+PfCX6gfGapnPZ2k3zPymLtmD3PWWKethocEMrBjI0Z1jefclrEE6oirStlGk4QbBQQIT4/uwoG8Yu79dANNatei99n17A7LK+3JKuCzdWnMX5vG5r05BAic16o+91zahgEdtJ9BKW+h10l4QG5hCSNfXs7BQ8XMv60P8XV0BFmwRltdsGEv89emkbzzTwC6NK3NsC6NGdo5TvsZlKpBOp+Ezf7IzGP4/37krLrhzL6pN7VCzswLunIKS/hq4z7mr0tj+bYDlDoNrRtGWomhS2OdD1opm+jFdDZrUT+SF8YlMvHdZO77dD3PXZF4xpzxVFhSyuItGcxft4clv2RS7HDStG4tbjy/BcMSG9O2UbTdISqlTpImCQ+6qG1D7ry4Nc9+8ysdm8Tw174t7A7JY3ILS0je8Sfz16Xx9aZ9HCoupX5UKFedcxbDEhvTtWntMyZJKuVPajxJiMhU4AYg07XofmPMAtdr9wETgVLgb8aYr2o6Pne7td/ZbEzL5okvtzIrOdXucDwiu6CEfTmFAESHBXFZ58YMS2xMrxZ6ZpJSvs6umsRzxphnKi4QkfbAOKAD0BhYJCKtjTGldgToLgEBwrNjE3nyyy3szy22OxyPCA8N5OwGkbSLi6Z3y1idE1wpP+JNzU3DgY+MMUXAdhH5HTgH+MnesE5fZGgQj47oZHcYSil1yuyakus2EVkvIm+JSB3XsibA7grrpLqWKaWUsolHkoSILBKRjZXchgOvAC2BRGAv8GzZ2yr5qErPzxWRSSKSLCLJmZmZla2ilFLKDTzS3GSMufhk1hOR14HPXU9TgYrjWMQDaVV8/jRgGljXSVQ/UqWUUsdT481NIhJX4elIYKPr8XxgnIiEikhzoBXwc03Hp5RS6jA7Oq7/LSKJWE1JO4AbAYwxm0RkJrAZcAC3+vqZTUop5etqPEkYY/5ynNceAx6rwXCUUkodh11nNymllPIBPj/An4hkAjtdT+sB+20Mx120HN7HX8riL+UA/ymLXeVoZoypf6KVfD5JVCQiySczqqG303J4H38pi7+UA/ynLN5eDm1uUkopVSVNEkopparkb0limt0BuImWw/v4S1n8pRzgP2Xx6nL4VZ+EUkop9/K3moRSSik30iShlPJ6otMa2sankoSItBCRNnbH4Q4iUtfuGNxBRKLsjsEdRCTC7hjcRUQau+596v/7aCLSSkT6ABgfbhcXkRNei+DNfGIjEpEwEXkZ+ApoLiIhdsdUXSISKSL/AeaLyB2uGfl8johEiMh/gU9E5CrXoIw+x/V7PAdMF5FrRKSZ3TGdDhEZDaSKyDnGGKcvJgoRCXH9v38ONBaRULtjqg7XtvUssFBEHitLeL7GVzagsUCsMaaVMWahMcYn5wEVkUjgXaw5vO8HOgHdbA2q+h4GooFHga7Ak/aGc+pE5Dzge6AAeAvoC1xpa1CnLwDYh2ueFmOM095wquUSoIExpo0xZpZrtkqfIiJBwP+wxse7FmtA0/62BlVNXp8kXEdCjYDpruf9RKR7hRntvF6F9tRGQAtjzD3GmGVYEy3tsy+yUycigSJSC4gEnnCV4zEgQEQetDe6U3YAeNkYc78x5jNgLRALvtUGLiIBFeKNAgYDkSJyi+t1b5qmuEoV4qwHrHAtG+D6n2/qeu71+yyX+kCCMeZ2Y8wmIBzYYnNM1eJ1f3ARaSsir4rI7SIS7ToSag30FZFbgaeAW4D3j5qbwuuUlQX4m6ssv1uL5S0RWQH0Bm4Ukf+ISKy90VZNRFqKyHUAxphSY0wBVsIb51qWhfW7jBaRRvZFenwVywFgjNkCfFBhB7sHaOZ6zavbwI/6TZwcntmxFdbMjzcB/xSRVoDX9rccVQ6Ha3FzoJ6ITMA6ABkGfCkiTV1NaF6XwCvZtvYCRkTeFpGVwGXAMBGZ6+37raN5VZJwtWtPB7YBXYBXRaQ18ARwFdDGGHMOVpL4DfinXbGeSCVleU1E2gJ9gK+BDcaYtlhlCAQm2RXr8biORlOAv4vI5RVemoI1SVQ91/P1wFJgSM1GeHIqK4eIBBhjDlVICInAJrtiPFlV/CZl/8v7gdXGmJVAIfALkCgigTUf6fEdZ9t6H+v/oSfQyxjzd2AR8F/wvgR+nHIMxWpe3mKMaQ38FWsw0odqPsrq86okAbQF9htjnsaajGgrMB7Iw5q5ri+Aq43ye7y7qebosmwBrgFqYVU98wCMMVuxpmnNsinOE9mGtXH/E7hKRMIAjDFrgW853PZdjNXX4q2Tjh9TjrL2+go70DhguWtZfxFpaEukJ1ZZWcqOwmOAj0RkHbAKyAV+8tIJvKratrYBb2PVtMv2UW8DaSISbEegJ1BVOXKxpmQudD0vAn4AMmyKs1q8LUlsBApFpK0xpgRYgLVTPR+4C6grIiNFpD9wN1bzgLeqrCzhWJ1Xq4HeItLDdXbTCOCgfaFWzRjzFfApVnv9QeDmCi/fhdUMeKOIXIr1O3llR2lV5XDVJkpdbd1xQBsRWYDV2ehrZRGsxLADuMkYMxb4CC89qeAE29a9WAdOE11H568Av7j+l7xKJeW4qcLLX2M1M10qIknAnXj3futYxpgavwG1cQ0J4npeNjzI2VhNS3+t8NrfgYddjy/AampaClxhR+xuKMv9rsd3A59hNdPYXpaqylHheRAwCPgCaFVheR+sDX8FcLUPl6MVVlJYCoyzuxzVKEtr17KIo9YJ8LFyVPxN2mP1e33mDb/JaZTjOuADYI03/K+fcrlt+EM/CKwD/gNc71oWWOH1G7CaMHq5nvfCar+3/Y/l7rIA9e0uw3HKcczOBauz+gngQdfz1kf/o/hoOVq57m+3uwzu+k04fLBi6+9zmuWwPcG5cdsKs7sM1b3VWHOTiMSJyHSstvoxWH0K14tILXO4ug/WBXP7gIdc1xUkAD+LSHhNxXoibihLBIAxxtb2+xOU45imFmPMPuAdYLyIHMI6Y8P2M03cUI6RruUv1FzUlTvNsuTh+k2Ma89Udl/T3LRt2c4N5RjmatIsrMm43aoGMnCY6z4c6FBh+fVYbaVlrx9RjQOeBuZite2fY3c29aeyVLMcAUADYCVW01JfLYeWRcvh3eVwy9/Cg3/kWKxT1qYBA4Bw1/IQrI6d3ViniM4r+2MCQRXeL3hPc4xflKWa5ajYfBYGjNFyaFm0HN5dDnfePNLcJCLDgWVYp0OmYLXND4DyUyVXGmOaGmOuAb4EXnW9VnYaH8Zi++mU/lKW0yhHqev9YowpNMbMsiP+Mv5SDlcsflEWLYd3lcPdPHW5/p/AI8aYjwBcp3m2LHvRGLOmwroLsU6jjDLWecXexl/KclrlMK7DJC/gL+UA/ymLlgOvKodbnXaScGXPo/84PwAhIhLkOqLehnUO+tHvTcCq2m30hp2qv5RFy+Fd5QD/KYuWw7vKURNOq7lJRIIr/qFdF/NgjHG6ql1lTS69sK6eLlsvQkSmYl1F/aUx5t7TicMd/KUsWg7vKgf4T1m0HN5Vjhpjqt/BcyvwHXAf0K/C8oAKj4OwOnLmAWe5lp3ruk/C1Slk981fyqLl8K5y+FNZtBzeVY6avJ1STUIscSIyB2vM9wexxooZ6cqyAebweDgJxsrIoVhj+vQVkaXAlSISYYxJNsbkn8r3u5O/lEXL4V3lcMXnF2XRcnhXOWxzChk4yHUfDFxUYfnNwNQKz5sBs7HGWgnDOjvAiXU2wEi7s6I/lUXL4V3l8KeyaDm8qxy2/g1P5o8MPAO8AAw4avmdWFcUf401/G0nrOFxH6+wXl3gDrsL6k9l0XJ4Vzn8qSxaDu8qhzfcysZ3qZSrQ+d/WNNUfglMwLpy+E1jTKGIDMYa5z0ca9rHvsaYqyq8P9B4yRDF/lIWLUf5+72iHOA/ZdFylL/fK8rhLU50CmwU1kQslxpjckVkP9bUiGOB94wxC1zrFYvIbmC/iIRgteU5vewP7S9l0XJ4VznAf8qi5fCucniF43ZcG2NysMamn+Ba9CPWcLc9pcI0lWLNefwXINcYU2ysKS696sISfymLlsO7ygH+UxYth3eVw1uczNlNc7CmP4wzxuRhzX9QBMSJSJCI/BtropOtxpgHPBirO/hLWbQc3sdfyqLlUEc4mSTxA3AAV1Y2xqwGzsGa3MSBNdbJIGPMFE8F6Ub+UhYth/fxl7JoOdQRTjgshzFmr4jMBZ4Ukd+xsm8h4HC9/rlnQ3QffymLlsP7+EtZtBzqaMc9u+mIFUUGYU260Rv4rzHmv54MzJP8pSxaDu/jL2XRcqgyJ50kwBrzBGuwQ8cJV/Zy/lIWLYf38ZeyaDkUnGKSUEopdWapsTmulVJK+R5NEkoppaqkSUIppVSVNEkopZSqkiYJpZRSVdIkoZRSqkqaJJRSSlXp/wHe61LqzdQK1AAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tracker_data = pvlib.tracking.singleaxis(ephemout['apparent_zenith'], ephemout['azimuth'],\n", " axis_tilt=0, axis_azimuth=180, max_angle=45,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Play with axis_tilt." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/holmgren/git_repos/pvlib2/pvlib-python/pvlib/tracking.py:542: RuntimeWarning: invalid value encountered in arccos\n", " index=times).sum(axis=1))))\n" ] }, { "data": { "text/plain": [ "(0, 360)" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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lNGAvSWRsSx8BpzfU4QrxpZhMJn73u9+xYsUK8vPzOffccyksLOTmm2/mhRdeAOCyyy6jt7eXvLw8fv3rX0+6bIYQ+9tomQNzWjjmlHCGurvo72gjZXYRI/1uIrs2U5+sKXK7qbfMJy9J5tvuZycBDVrrbq21F3gGOBKIGR+mDJABtIcqwC9D2j0hhJj+ZFjyTqyzllHU/hfqUyxED26juTmWjIJimqrK0VpjX5TMyPvtOCt7iFiWGupwhfhSTj/9dE4//fRdtt1+++07/m6z2fjHP/5xsMMSM5i3y4m3dYTorwTn1zZWlgNgjcwFBgjf/hFbSwIUetxszDpcetT2v2ZgmVLKTnBY8onABuAt4BxgDXAR8Pxur3CIk3ZPCCGmN+m53cnc/FJyXYq6VE1EUxl+X4C49HyGe7rp72jHnBaOKdkuQ5OFEOIAcJZ1gQHspcEhrU1VFUTExjE6EI7RCBEjrWxLhQSXnfy580Ic7fSjtV5HsHBUGVBF8DvCH4HrgeuUUvVAPPBwyIIUQgghPocktzs5fFY8AVc621IUUQPbADDZcgBoqipHKUX4oiQ8zcN4e8ZCGKkQQkwvOqBxljuwzYnFGGlBBwI0V28iq7gUR8MQcXYXBh2gKQUGXbkszZUiPweC1voWrfV8rXWR1vpCrbVba71da3241jpPa/11rbU71HEKIYQQk5HkdifRdjNu6wK6kgNYPUNE2HwMdVuITkqmqbICAHtpEihwlneFOFohhJg+3NsH8Q96sC8KVkDuatyOa3iIjIISelpGiB1rZSjWQrLZR71pPnOTZM1xIYQQQuxKktvPMGQcTprFy3CEkVh/Fx3bBskqLqWlZhN+nw9jtBVrXgzOMgc6MGnBSCGEEHvJWeZAWY2EFQR7ZJurNwFgj84lENCEt5ZTlxyg0O0mkLoIg0Hm2wohhBBiV5LcfkZa4XKKPB4+TgkQ4ajBOeQhKacQz9gYnfUfA2BflIy/342naSjE0QohxNQX8PgZq+7BviARZTYCwfm28RlZDHYHb1Ph2z5iS0qA+W4fyfMOD2W4QgghhDhESXL7GYvm5hA/FkF9qiJi+wYATNYsUIqmqmDlzrDCeJTFECx+IoQQ4ksZq+lFewLYx9e29Xm9tG2pJau4hI5tg0RFKSzeUbanQLgrlsPmZIQ4YiGEEGKigMePs7wL/5DngL5PfdcI67b3AuBpaiLgllIIn5Dk9jOi7WYszGFbKkSMtGEyQV+7n5TcvB3zbg0WI2FFCTirutFef4gjFmLvXXrppSQlJVFUVLRj26233kp6ejqlpaWUlpby8ssvT3ru2rVrmTdvHnl5ebIGpNgvnGUOjLFWLNlRAHR8vBmfx01WUSmd2weJMw0C0JwCI77ZzE+R+bZi30jbJ4Q4EAJuP8PvtNL5y4/oe2Irw++37fU1Gso38JfrruSl+++edP9Iv5t3n/qYe5+v5bT73uXy/3ufzpv+h20rTqX3tz//sh9h2pDkdhJhyUsZSgyg0MTbx+jYPkj2gkV01G/F7RwFwL4oCe3yM7a5L8TRCrH3Lr74YtauXTth+7XXXktFRQUVFRUT1oIE8Pv9XHXVVbzyyivU1tby+OOPU1tbezBCFtOUf9CNu34A+8Ik1Pg82qaqTSiDgajE2bhGvEQPbqM/wUq6wYs7YaHMtxX7TNo+IcT+FHD7GHq7hc5frmfwlQbMqeEYIsz4+117fI3+znaeves2nrnzVvraWmjdXL3Lfq01Wz7o4NFbP6DqX62se6uFRf5efv+vn9H/1Iv4FVRXvL6/P9qUFbLkVil1rVKqRilVrZR6XCllU0rNUkqtU0rVKaWeUEpZQhFb/LyjyDZ66Is2EONsprd1hPT5xehAgJaaKgCsuTEYoy0yNFlMSccccwxxcXu/lMr69evJy8sjNzcXi8XCqlWreP755w9AhGKmcFZ0g2ZHlWSA5uoKUvLm0tfhBcBev46Pk/wUuD1E5i4NVahiGpC2TwixPwRcPobeaKbzro8YWtuIJSOSxCtLSLysGHNKOP7+Lx4m7HGN8d7jq1n9w+/SUlvNMRdcwrKvncdIXy9eT/D80QE3z/92E2+s3kyj38uYQXO2aZhbXrwDq2+In59roCURhvuHD/RHnjJMoXhTpVQ6cA1QoLUeU0o9CawCTgfu1VqvUUr9HrgMeOhgx1ewYCl56wJ8nKKZ31yGTpuHMqVhttpoqion77BlKIPCvjCJ4Xdb8Q97MEaGJA8XU90rN0Bn1f69ZkoxnLZvQ+Z+97vf8cgjj7BkyRJ+9atfERsbu8v+trY2MjMzd7zOyMhg3bp1XypcMXNprRktc2DJisScEAaA2zlKZ30dS7/6dTq3DWKxGrA1VbPlREWxWzO3+LAQRy32C2n7hBBTUMDtY+Tf7Qy/14p2+bHNjyPqxCwsmZ9OlzHGWHFt3f3ITq01W/7zLu8++mdG+nopOPp4jr7gEiJi49j83lsADDo66Wmz8NbjW/F4/Lwb5uWwwyLJevNjxgYV1dmaB063cGrJdYSX/YaRYTej3lHCzeEH/HdwqAvlsGQTEKaUMgF2oAM4AXhqfP9q4OxQBBYdYSPKn0x9miJ8+0YAepqdZBQU0VRZvuM4+8IkCIBzU3cowhRiv7ryyivZtm0bFRUVpKam8sMf/nDCMVpPXP5KKRkiKvaNt30Un8O5S69tS201WgfIKg7Ot42PDU4R2Z6isHmSyE/f+143IT6PtH1CiC+ivX6G3wvOqR16vQlrbgxJ31tIwsWFuyS2AKYYK4FhL9oXmHCd7qYGnrj1Bl6+/27s0TGsuv1uTrv6h0TEBu9t0cmpAKz9vw9446+bafZ5eSfHxM1HefjavVdh7axjKDKFxy7KpqXrWmaHnUh0XCwxI7Cx46MD/4uYAkLSc6u1blNK3QM0A2PAa8BGYEBr7Rs/rBVIn+x8pdQVwBUAWVlZByTGxIgFrE15H7NvjOgocDQMkl1cSkP5BoZ6uolKSMScHI45PQJneReRyycNVYjPt4+9DAdCcvKnCca3vvUtzjjjjAnHZGRk0NLSsuN1a2sraWlpByU+Mf04yxxgVNgXJOzY1lxVgclqJSEzj972DyhI6EYraEnW2EaKMMp82+lB2j4hxBSg/QFGNzgYfqMZ/5AH65wYok/JmZDQ7swYYwPAP+DGtGNUkpP//OMxyte+iDU8gpOvuJqi40/GYDB++l5a090a7Hfsbmrhg7g4jj0lne+99zCDN71Ce7zm5YXdLOi28ODyv3NU+Qd0Dbk4OjWbvvWdvNzwBsdkHXfgfhlTREh6bpVSscBZwCwgDQgHTpvk0ImPSgGt9R+11ku01ksSExMPSIypOUcylBh84hJnHKSzYYjMwgUANFdv2nGcfVES3rYRvJ2jByQOIQ6Wjo6OHX9/9tlnd6km+onDDjuMuro6Ghoa8Hg8rFmzhpUrVx7MMMU0of0a56ZubPPjMNjNO7Y3V28iY34hvW1joCGqq5beRCtZeLFmypBksf9J2yeE+Cwd0DjLu+j89UYGnq3HGGMl4VvFJF5W/LmJLYAx1gqAb8AVHIL8/jv85brvUPbKCxSfcAqX/uYPLDjx1F0S29FBN0/fV857T7QQUBa6okf4+XlJnHbPFQw+/QqvL1Lc/q1ozjrtGwB4+wLE2M04htzYMmZhAGq2fXjAfh9TSUh6boGTgAatdTeAUuoZ4EggRillGu+9zQDaQxQfWcXLmdXwMxxxVqIGttGgo7GEJREWFU1z9SaKjjsJAHtJIoMvNTBa3kXMabNCFa4Qe+X888/n7bffpqenh4yMDG677TbefvttKioqUEqRk5PDH/7wBwDa29u5/PLLefnllzGZTPzud79jxYoV+P1+Lr30UgoLC0P8acRU5N42QGDES/jCpB3bRvp66W1tpvC4k+hsGALAtvl9ypJ8FLg9pBcuD1W4YpqQtk8I8Xm01ri29jP4SgM+hxNzajgxFxdimxe7x1MRTDHB5HawoYN3H7+b5upKkmbN5qwf3Uhq3rwJ77dlXSdv/n0rPo+f9ZEBDjclUuprxn/ZNxgxBfjNOUaMRy7i8WPvIZo4HuY9+jucJEfacAy5MGXmAdDf1UHvWC/xYfH795cyxYQquW0Gliml7ASHJZ8IbADeAs4B1gAXASErRZiQNpsct2JrqmZJ/YcwexGOxhGyChfQXL0JrTVKKYwRFmxzY3GWdxG9ImfHUhZCHMoef/zxCdsuu+yySY9NS0vbZd3H008/fdKlMoTYG87yLpTNhG3+p3NoPxkVk1VUwoZXhohJsGDoamNriYEit4E5cyWZEF+OtH1CiN3xtI8w+HID7voBTPE24s6fT1hxwl5/tw/YNBpNxTMv4nBt48RLr2TBybv21AKMDXt44eFqerYM0Gb0M7QwirtXZPLuDffTP+Zmc4bmvjPNnL/8ai4vvhzj+PlhURb6O0dJirLiGHZjWlAAQOyI5qPOjzh11qn75xcyRYVkWLLWeh3BwlFlQNV4HH8ErgeuU0rVA/HAw6GIDwClSDKksi1VEdZSi9liwNEwRFZxCaP9ffS1te441L4oicCQB/e2gZCFK4QQU0XA7Wesugf7ggSU6dPbUHP1JmyRUSRm5eBoGCQ+PLhO4PZURQyZmEzG3V1SCCGE2Cf+ITd9//iYrt+W420fIfrMXJKvXYy9JHGvElutNfUffcjq669mzDdCauocLrn395Su+MqExHZrmYP/u+k/dG7pZ0N0gOVXFHLn3EFGv34qlq4+Rmwmfn9RCvd+/RG+XfLtHYktQFyqnb6OUZIibXQNuTClBuf/p4wY+LBDhiaHqucWrfUtwC2f2bwdODwE4UwqJ3YhL6S+gSJAfIwfR8MgC44vBYLrMMZnBJcFCMuPR9mMOMu6sM2J/bxLCiHEjDdW24v2BoIV58dprWmqqiCrqIThPg9jw16iw9oJGBVtiZoEw+IQRiyEEGK6Cbj9DL/bysi7reiAJuLodKKOy9ylDsSeGuzq5M2//IHtZR+RkJmNPTWG2KgIwmN2zQvcTi/P/aWanqp+uo0BAsviuPer83H/8gZann6d3ljN2sV+5jUb+POxD5OelDvhvWJTwvl4vYPkBYl0DbsxjFdaLhhSPN4hS5SFLLmdCvLmHseA8zUCCmIDPWxtMRARm0hUYjLN1ZUsPPVMAJTZgH1BIs7yLgJn52GwSu+CEELsjrO8C2OsFUt21I5t/R1tjPT1kl1UgqNhEICItkociRZytJPY2UeEKlwhhBDTiA5onBsdDL7WRGDYQ9iCBKJX5GCKD9vrawX8fja+/Dz/efIxlMHAsd+8lIWnrWTgyTo8bSO7HFtf1c3LD9egXH5qohXfuGQBS439tJ9zIq6WAd4tVaw+xcZ3Us6ne/XrBAZGg2V3PyM2JRzPmI9Esxl/QNPnDmCMsJA94KZ1pJVB9yDR1uh9/fVMeZLcfo60giPJK/PiiLcR2b2FgEqku3mYrKIS6ta/TyDg3zHMwL4oidH1nYxV9xC+OPkLriyEEDOTf9iDu66fyOMydxnu1VRVAUBWcSlVbw9hshgwlb/P1pxgManskqNDFbIQQohpwtM6TP/z2/C2DGPJiiT6wnysWVFffOIkHNvree0Pv6WrcRuzlyzlhEu+Q1RCcBUXY6wNf00vOqDxeQM8+9dqust7GTAE4Ih47j6vCN9jD9Jw7+9xGzX3/ZeR/sPm8Mix95DgieDh1a8z4Oggs6B4wvvGpdoBiPaOxzHkwh4bSeTwCGCmfaRdklsxORWZTI7XTF1KgKO2fgjzj6azYYisogVUv/UaXQ3bSZk9BwBLdhTGOBvO8i5JboUQYjecm7pBs8uQZAiubxuVmExMcgqdDa0kplhhcIC6FANFXhsRsSkhilgIIcRU5x/1MvRaI6PrOzFEmIk9bx720sQ9roC8M6/LxftPPkrZyy9gj4nhzOv+lzmHH7nLtUwxVvBrGiocvPjoVoxOHx9HK1ZdWsLSRCMdl32V4Y3b2J4Fd600ccqSVfxoyY+wmWwE/H4MRiODjs5J3z82NRwA61hwydLuYTezE+OxNToA6BjtID8+f68/13Qhye0XyLSkU5nSwTHVjUQeYcbRMMjR55YAweInnyS3SinsC5MYfrPBbtMwAAAgAElEQVQZ36AbU7Q1lGELIcQhyVnehTk9AnOSfce2QMBPS00Vc5cdhc/rp6dlmPxcPwDbUxTHmyfOORJCCCG+iA5oRj/qZOjVRgIuHxFHpRN1UhYG276lQA3lG/jXww8y1N3FgpNO5ehvXIwtPGLigZHBebv/eXgzo9qPOiKBu84vJvD+q2z/5vV4R7w8ebyJfy2P5LblP+PE7BN3nGowGolKSGKgs2PidQF7lAWr3YQaCnbdOoZczE9Jw1i7GQgmtzNZSKolTyXzU5bQkBJ8EpMQ5cXRMER4TCzxGVk7lq34RPiiJNDBL29CHMpcLheHH344JSUlFBYWcsstwdpuDQ0NLF26lDlz5nDeeefh8XgmPf+OO+4gLy+PefPm8eqrrx7M0MUU5u1y4m0bmdBr69hej9s5SlZxKT0tIwT8mujRZgIGRUeiJjt1WYgiFtOJtHtCzCyelmG6Hqxg4Nl6TMl2kq9ZRMwZufuU2I4O9PPS/XfzzJ23YrJYOe+2uzj5W1dPmtg21PXz5F9qg+eFw0k/KOGGC4oYvv0amq+8jj6jl/+9yETDysU8dfazuyS2n4hOTmGwa/KeW6UUsSl2XL1uABxDbkzpOQRcBuzaSMeIJLficyzIP5ne+AAaiPE6GOl3M9LvIqu4hLYttfi83h3HmuLDsGRH4SzrQmsduqCF+AJWq5U333yTTZs2UVFRwdq1a/nwww+5/vrrufbaa6mrqyM2NpaHH564GldtbS1r1qyhpqaGtWvX8t3vfhe/3x+CTyGmGmd5FyiwlyTusr256tP1bTu3B4tJhbdU4EgwkxPwkp5/zEGPVUw/0u4JMTMEXD76n6un68EK/IMe4lbNI/GKBZhTwvf6Wlprqt56jb9edyV1697nyK9fwIV33U/G/Inrrvv9AZ74axX//FUZ/U4fAF8/bTalpn6aTl9O71Nvsr7YyPcus3DqqVfx8IqHSQmffMpNTHIKA7sZlgzBolIDnaPEh1twDLswpWUBirwxC+2j7Xv9OacTSW6/gCVrEbOUl644AxGO4FMYR8MQWUWl+DxuOj7evMvx9kVJ+LqceNtHQxGuEHtEKUVERPBpo9frxev1opTizTff5JxzzgHgoosu4rnnnptw7vPPP8+qVauwWq3MmjWLvLw81q9ff1DjF1OPDmic5V1Y58RijLTssq+5uoLE7FnYo6JxNAwREWeFmo3UJfvJd3uJn3NYiKKeeZRSMUqpp5RSW5RSm5VSRyil4pRSryul6sZ/Tsk176TdE2L6G9vci+PejYyu6yDiyDRSfrgYe2nSPs2tHezq5Kmf3chrv7+f+MwsLrzrtxxxzvmYzBOXCmpqGOA3N7xHz4fdtEUaOPbaEpTNiPejjTScfRbDHQP89iwjfzs3lYdW/oUrS6/EZNh9D3J0ciqukWFcoyOT7o9JsTM27CUt3Bpc6zYpOCIqdygw43tuZc7tFwmLJddvpT45wPKa/2AsOpHOhiGWnFaEUgaaqzeRWbhgx+H24gQGXtiGs8yBJX2SMfhC7OSu9XexpW/Lfr3m/Lj5XH/49V94nN/vZ/HixdTX13PVVVcxe/ZsYmJiMJmCzUJGRgZtbW0Tzmtra2PZsk+Hie7uOCF25mkawj/gJnpFzi7bvR43bVs3U3rKVwDobBgkKdWKv6+PusUG5gaiwLL3T9vFPrsPWKu1PkcpZQHswI+BN7TWdyqlbgBuAL64kfkcoWr7pN0TYnryj3gYeHE7Y5u6MSXbSbxg36sg60CATa+/wruP/QVlUJx0+VUsOHEFyjCxT1BrzTNPbKH1nXY04F0az20XFmMec9I+3MFYYwdt8fCzs00sWHASTx952x5VMo5JCvboDjo6seXmTdgfmxysW5FlNtM85N6R3Gb2uXlP5tyKL5Jrz2JbqkJ3tpOQFoZj+yBWezgps+fQ9Jl5twa7mbCCeJwV3Wh/IEQRC/HFjEYjFRUVtLa2sn79ejZv3jzhmMmedE425H5fnoiKmcVZ3oWyGLAVxu+yvX3LZvxeL9nFpYwOuhnpcxNnGgKgIUWRETE3FOHOSEqpKOAY4GEArbVHaz0AnAWsHj9sNXB2aCL88qTdE2J60VozWubA8euNjFX3EHVSFsnfW7jPie1gVyf/+NlNvPHnh0ibl89F9zxAycmnTZrYOhwj/Oqmf9P5dge9dgMn/KCEH1xSSmDDOzSsOApvTzsj8fHccFEY317xE+497t49XqInJiUVgL6OyR+ixYwnt8naiGOnntvk/jF6Xb24/e59+fjTgvTc7oGFmUt5vqUJgPhwF1vrNX5fgKziEtY//xRupxOr/dPKn/aFSYxV9eCqGyBsflyowhZTwJ70sB5oMTExHHfccXz44YcMDAzg8/kwmUy0traSljZx9fCMjAxaWlp2vN7dcUJ8QvsCOCt7CCtMwGAx7rKvqboCg9FEen4hrVuCSW3UUANaQUuipjBb5tseRLlAN/AXpVQJsBH4PpCste4A0Fp3KKWSJjtZKXUFcAVAVlbW575RqNs+afeEmPp8/S76n63H/XE/lqxIYv9rDubkfRvpowMBKl5/mfce+yvKYOCUb19D0fEn7/Yh1ssvb2PLP5swBTSukhh+fHkJVqOB3juuo+tvL+MKg62Z/SzS83n0rDXMjd27B7Vx6RkYjCZ6mhrgqGMn7I9KDMNgUET7oWfEDTGxoCB+OFgLoHO0k+yo7L3+PUwH0nO7B+bmnYgjMfjUNmasFb83QG/bCFlFJehAgLYtNbscb5sbi8FukqrJ4pDV3d3NwMAAAGNjY/zrX/8iPz+f448/nqeeegqA1atXc9ZZZ004d+XKlaxZswa3201DQwN1dXUcfvjhBzV+MbW4tvShXb4JVZIhWEwqdc48LLYwHA2DGIyKsIZyuuLMpCkfmfOPCkHEM5YJWAQ8pLVeCIwSHIK8R7TWf9RaL9FaL0lMTPziEw4yafeEmB601oys78BxbxmexkGiz8wl8Tsl+5zYDjg6efKnP+bNP/+e9PkFXHTPAxSfcMqkie3AoIt7fvofGl5oYtQMh327gB9euRhTVwstZy+na/UrbJ1t5LuXm7DMy8TutzHbMmuvYzKazMSnZ9Dd1DD5fqOBqMQwbC5NQEOfO4AxJoqo8Sm67SMzt6iU9NzuAUNqKVkGH93RZlLaKoFUOrcPUXBUPkazmebqCnIXfVrwRJkMhBUn4CzrIuD2Y7Aad39xIUKgo6ODiy66CL/fTyAQ4Nxzz+WMM86goKCAVatWcdNNN7Fw4UIuu+wyAF544QU2bNjA7bffTmFhIeeeey4FBQWYTCYeeOABjEb5Ny52z1nehSHCjHV2zC7bx0aGcTTUc+Q53wCgc/sQCRkReNdWsz0pwDyPD0NyQShCnqlagVat9brx108RTG4dSqnU8V7bVGBKPrmVdk+Iqc8/7KH/6TpcW/qwzo4m9r/mYoqz7dO1dCBAxWsv8e7f/4rBYOSU71xD0XG7761969/NfLSmnjCfxpkXwXVXLSI8zMzIMw/T/tN78Ho0j64w887SCG478jaO1UvprqnE0zREWEH8pNf8PInZsyYsO7qzmGQ7zrZhILjWbURSMraRbiDYcztTSXK7J6wRzNZhbE/xEl+9gfDDz8TRMMiC4zNIn5e/YxmLndkXJjG6rpOx2l7CJ+mtECKUFixYQHl5+YTtubm5k1YAXblyJStXrtzx+sYbb+TGG288oDGK6SHg9DK2pY+IZako465fGFprqkBrsopLCfgDdDUNMX9RLD6Hg4+LDGQSBeZ9+9Ii9p7WulMp1aKUmqe13gqcCNSO/7kIuHP85/MhDHOfSbsnxNTmrOph4Nk6Ap4A0WfkEnFkGsqwb3PfBzo7ePUP99FaW01O6WJOueJ7RMYnTHrs6JiXPzxYhrluhIBJMf8bczj5mCwCY04cV59P379qGIiHn15gIqFwIU8dfSdpEWlorx+M6kslt7XvvYVzaBB71MS5ujHJdppqelER0DXkDs7Trf4YBTN6OSBJbvdQQVQuFakfs3RrO0mZdjobgnPDsopK+feaR3AODmCP/rRXwpIVhTHGirO8S5JbIcSM5azqAb/Gvih5wr6mqgrMtjBSZs+ht30UnydArCE4bLQhGY6LmnOwwxXwPeCx8UrJ24FLCE5helIpdRnQDHw9hPEJIWaYgMvHwPPbcJZ3YU6PIPG8eZiT7F984iS01lS98SpvPfInjEYTK77zfQqPO2m3vbXrKjr5119qiXHDaHoY375mEbHRNtyb/k37Nd/F5fDyn0VmHjxBc8nib/Odku/sWOJHmY1Y0iNwNw7tU6yJ2bkAdDc1kF1cOmF/bLId7ddEBRSOYReFSUm4XCYStWFGLwckye0eKslYyjMpHwMQbxulodvL2LCHrKISAJprKpl/5KeFT5RBYS9NYvidFvzDngnrOgohxEzgLO/ClBSGOW3iXKiWmkoy8gsxmkw4xh8YRvXXMwY0JisW5y4/yNEKrXUFsGSSXSce7FiEEMLTMkzv41vwD7iIPDGLqBMyUcZ9Kxk0OtDPa3+4n+1lH5FVXMqpV/5gt721Hp+fh/60CTb1YzNA5pnZrPxKHlprBu67gc4/PYfXCPefY2Z7SSK/P/pODkuZuCa7JTuKkQ/a0b4AyrR3cSfmBOfq7i65/aRicoI20NI3hikxEb/TT7rLT4f03IovMivnBDoSHwEgargJSMPRMERWYR6WMDvN1Zt2SW4B7AsTGX67BWdlN5FHpYcgaiGECB1fnwtP4xBRK7InPBUf6eulr72VohNOAcDRMEhYpBljfSU90WaiTF4Ss48MRdhCCCFCTAc0I++1MvhqE8YoC4nfLsGavW/L+wDUffQBr//ht3hdLo6/+NssXPGVSZf3Aaiu7+Wp31eSOKIZjbNw4TWLSE0Jx9/VSufV5zNU2UNrlpGfnalYUHgcTx15O7G22EmvZc2JYuS9NjxtI3sdvz0qmvDYuN0WlfokuZ0fbqO6bRBLdjZomNft4f2EmbsOtyS3e8iUVkKayU9fpJH4beUoQzqdDYPkLEggs7B40gnf5uRwzKnhOCskuRVCzDzOTcG6Q/aSiVMzWmqrAMgqXACAo2GI5JwoXM/U0pismef2QnLhwQtWCCHEIcE/7KHvya246wYIK4on9mtzMNjN+3Qtz5iTt1b/ieq3XicpZzanf++HxGdMvlRZIKD58z9qGXi7k1gg4dhUvrsqH6UUzlf+RvvNv8AzonnxOCv/OMLIdYf/iPPnn/+5a15bxhNaT+PQPiXnidmz6G7cPum+sEgzVruJLLOJx1oHsBw9H4DcTs3T2V0EdACDmnkL40hyu6dMVuYYItieMkZETSXxJ51HV1OwQllWUQnbNqxjsMtBdNKu88rsC5MYfLkBb88Y5oSwUEQuhBAHndYaZ1kXlpyoSStZttRUYg0PJzFnFm6nl/5OJ3kLYvC1tfLxsQZmGyLBLG2mEELMJK76AfrWbCHg8hPz1TzCD0/53OTx87RuqWHtA79mqLubpV89jyPOWYXRNHmS3N47ykP3bSSly4e2GznjuyXMzotFe1z03Hgx3f+sYCxS8fMLTXgLsnnsmLuZFzfvC2MwRlgwJYThbhwk8tiMvf4MidmzaK7ahN/nnRC7UoroJDt+t5chl4/O6BSU2Uxatxuv9tE71kui/dBblu1Am3np/JeQHzOL+lSFpaOVxLQwuhqH0Fp/Ou92kt5be0kiKGTNWyHEjOJtG8HXPTbp2rYALTVVZOQXYzAY6WoMPiiMpReAbamQH5N30GIVQggRWjqgGXq7hZ6HqzDYTSRfXUrE0tR9Smz9Ph//XvMIT9x6AyjFebfeyfJVF+42sX3+7QYevuVDUrp8WAqi+cGdy5mdF4t38zqav7KU7hc3UV1g4TuXGSk+7hzWfGXNHiW2n7BkR+FpDuYMeyspexYBv4/e1pZJ98cm2zGM+ACo7BzBOmcOMb3BvsuZWjFZktu9UJC8iIbxjtk48xBup4/B7jHiM7IIj4mdNLk1Rlux5kYzVtG1T/+ohTiQ/H4/Cxcu5IwzzgDg4osvZtasWZSWllJaWkpFRcWk561evZo5c+YwZ84cVq9efTBDFlOEs7wLjAp78cRiHUM93Qw4OsgqLAbA0RQsJhXRHSza15isKM5YdvCCFTOKtHtCHFoCYz56/1bL0NpGwooTSLpqIeaUiUUI98RgVydP3Ho96559kqLjTuK/77qf9PmTr5c+NObhtl+vo3HNdsK1YvGFc/nWNYsxm40M/+lmGs77b0Y63PzfmRbu/Vo4t6+4h1uPvBW7ee8qNVuzowiM+vD1jO3159m5YvJkYpLteIa9RBgNVLUOYs2fj6XPBFrTMTozKybLsOS9kJdzPI0pjwEQNtAIpNLVOERMkp3MwgU0V29Caz3hKZO9NIn+p+vwto5gyYw8+IELsRv33Xcf+fn5DA19Wqb+7rvv5pxzztntOX19fdx2221s2LABpRSLFy9m5cqVxMZOXkxBzDzar3Fu6iZsftyk86RaaioByByfb9vVOER0Uhj+rdX0RZrAGiAtSyoliwND2j0hDh2e9hF6H92Mf8BN9Jnja9fu4zDkLe+/w+t/egCAr3z/fyYUet3ZB7VdvPh/1aQ7wZ9s47IfLCY61kagvxPH91cxsN5BX7KJ285SJM4v4h/H/JL0iH2rn2PJ+XTerTlx7xLj2NQ0TGbLFxaVWhwbQWXrILb5+Qw+/QyxI8zY5YBC0nOrlJqnlKrY6c+QUuoHSqk4pdTrSqm68Z+H1F0jLHUh0VY/g+EKd+0GTGbDjuF0WcUlOAcH6G1tnnhecQKYlAxNFoeU1tZWXnrpJS6//PK9Ou/VV1/l5JNPJi4ujtjYWE4++WTWrl17gKIUU5F72wCBEe/nDEmuxBYZRUJmNhBMbpOyoxiprqE5CeZ5PKiU4oMZspghpN0T4tDhLO+i68FNaF+AxCuKiTwqfZ8SW49rjLUP/YaX7r+b+Mws/vuXv91tYuv1B/j13zbx7m+rSHFC9knpfO+WI4mOteF652kaTz+egfUO3l1m4+qLDJxx3BX89dS/7nNiC2BKDMMQbsK9bWCvzzUYjcRnZu82uY1NGa+YHBFGdfsg5nnB4dIFHQFaB7btc8xTWUh6brXWW4FSAKWUEWgDngVuAN7QWt+plLph/PX1oYhxUmYbcwijKcVN3uZaEk//Jo7xhZmzi4LrTzVXb9rxhe0TBpuJsPlxOCu7if5KLsq4b0+kxPTT+Ytf4N68Zb9e05o/n5Qf//gLj/vBD37AL3/5S4aHh3fZfuONN3L77bdz4okncuedd2K1WnfZ39bWRmZm5o7XGRkZtLXN3JLzYiJneRfKZsI2P27CPq01zTWVZBYUoQwGRgfcjA56SEyzopubqFtuYK4KB8vePd0WU0uo2j5p94QIPR3QDL7ayMg7rVhmRRH/jXyMkZZ9upZjez0v3X83/Z3tLPvaeRxxzjcwGI2THlvXMcQfHihjVk8AZTdx9tUlZOXGoP0++m77Fl1PfoDHqvjVKjMtBbE8dPQvWJb65afIKKWwzY9nrKZnn9a7Tc6dzZb338Xv82E07Zq6RSeFoQyKVEw4PX7aE4JFqxZ1+Hija/IpFtPdoTDn9kRgm9a6CTgL+GQiy2rg7JBFtRsFERlsTQVbZwuJGWF0twzj9weISkwiOjllx3C7z7IvTCIw4sVd33+QIxZion/+858kJSWxePHiXbbfcccdbNmyhY8++oi+vj7uuuuuCedONnd8X4cQiekn4PEzVtODfUHCpDfwwS4Hwz3dZBUGC/F98oAwJtADQH0qFMTkHryAxYwh7Z4QoRdw+eh9pJaRd1oJX5pC4mXF+5TYaq3Z+NJz/P2mH+F1uzj3Jz/nqPMunDSx1Vrz11frePTn65nVEyCqKIar71xOVm4MvuZaWs9eiuPxD2nMsXDl5UYijj6ap1Y+tV8S20+EFSegXX5c9Xvfe5u9YCGeMScd9Vsn7DOZjSRmRmDp9wBQ2efDnJ7K3E7Nx8MtjPn2fp7vVHcozLldBTw+/vdkrXUHgNa6Qyk16Zg2pdQVwBUAWVmTr1V1oMxNKOTfKdsx6ACxxmH83gB97aMkZkaSWVBM/foP0IHAhIWhbfPiUDYTzopubPMm9maImWlPelgPhPfff58XXniBl19+GZfLxdDQEN/85jd59NFHAbBarVxyySXcc889E87NyMjg7bff3vG6tbWV44477iBFLg51rs19aE+AsJLJlx+YbL6tMijCu+pwAQ0pivyUxZOeK6aPULR90u4JEVq+njF6HqnB1zNGzNmziViWtk/XGRsZZu2D97J943pmL1nGiu9cQ1jk5GvIdg+7+OVDG0nb7iLWaOCI/57HoiODQ4ydT91H2y8exOtSPHNyGM8eBtcu+R8uyL9gvz+8suXFoGxGxqp6CJtkVNPnySoqQRkMNG0qI2P+xPXf0+bEUPl2K9FxJqraBjmisIj4D9vwEaC2t5bFyTPrnhrSnlullAVYCfxjb87TWv9Ra71Ea70kMfHgrt80L+sYtqcE/8GrrmBlz67xnofMgmJcoyN0NzdOOE+ZDNgXJDBW00PA4z9o8QoxmTvuuIPW1lYaGxtZs2YNJ5xwAo8++igdHcHiA1prnnvuOYqKiiacu2LFCl577TX6+/vp7+/ntddeY8WKFQf7I4hDlHNTN4ZIC9ZZ0ZPub6mpJDwmlrj04NCprqYh4tPDcW+uZtBuwmmHWdnHHsyQxQwh7Z4QoePaNoDjgQoCI14SLive58S2o34rj97wfRoryjj+4is460c37jaxfbu6kztveZ+c7W5syWFc+tMjWXRkOnpsmO5rzqTpJw8xaDXyvxeZWXdCBo9+5e98s+CbB2RUhjIZCMuPZ6y2F+0P7NW5tvAIUvPm0bipbNL9aXNjCfg0y6LD2dQ6iC0/H9OQAZtbs6l74kou012ohyWfBpRprR3jrx1KqVSA8Z+HXAWmpKzlEOZn1GZguKYCa7hpR3KbURC8IbbWVk16rr00Ee0J4KrtPWjxCrE3LrjgAoqLiykuLqanp4ebbroJgA0bNuwowBIXF8dPfvITDjvsMA477DBuvvlm4uJkNIIILufg2toXHJJsmPjlQGtNS00lGQXFKKXQWtPVNExSdhRDldW0JkGe14s5bWEIohczlbR7QhxYo+Vd9Py5GmOkmaSrSrHNjtnra2itKXvlBdbcHCzFs+r2u1h02spJE1GvP8Bdj1fy7wermeVU5B6fxrdvOYKoOBve6ndpPuMIel6rp6o4jCsvMbBg+dk8ccYT5Mfnf+nP+nnCihLQYz7c2wb3+tyckkV0bq///+zdd3hUVfrA8e+9UzIz6ZPeQ3roJTQbKAIWBAui2FAsu66uZXftZWV3XVF/rmXVta0rNty1664iiA0biFKTkARIr5NJncwk087vjwnBmBCCpIHn8zw8Ye49d3KuhpN573nPe7C39Lw2Ni0YFMhQ9eRXtaCmZwAwrdrD9treA+Kj2XCnJS9lf0oywHvAMmBl59d3h6NTfVEMQWSgozLCQ3hRAVELg6jtrJgcFN657jZvB5NPW9TjWn1yMJpgP+xb6jBN7L2KqCQNtdmzZ3el133yySe9tsnJyeG5557rer18+XKWL18+FN2TjiCOnfXgEQcc3xqrq7A1NpDYmZLcXOegw+4mIs6IUlbCnumQoRhB//P2N5Sk/pLjniQNPiEErZ+W07K2FL+UYMIuHo1qPPTQo8PexkdPPUrRxq9JmTKNU35zI8aA3rfWLKm38dAT35Ne7cbgp+X0X49nVLYZhKD16duofvItXB6F5xca+WqiHytm3MtpKacd7q32iyEjBEWvwbGzHkPGoW0IkzxhMl+//gqlO7aSfWz37CY/k47w+ADsbQKnx8su/xhCgalVLlbV/tDrNqVHs2GbuVUUxQTMBd760eGVwFxFUYo6z60cjr4dTKYhkqJoQWB1KZGJATRUt+Hq8KUaJ4weR0XeToS3Z8qBoiqYJkbQXtSIx+Yc6m5LkiQNKvs2C5owA7r4gF7Pl+f60qMSxvi2+akr7SwmJawoXi+FMTA6cGjrKEiSJEkDT3i8NL21m5a1pZgmRRK+fOzPCmxri/fw8q03sPu7bznhouWcedNdBwxs3/ymjMf//C1Z1R4CkwP51b3HMirbjLexmppLT6Di4XeoD9Fx43It1bOyef2M14cssAVQdBoM2WZf1WRPzyJ1fYlKTcMQEEjpgVKT00PoqHVgVFU+qRdoQkNJr4J6VyvVbb+s/W6HLbgVQtiFEGFCiOYfHbMKIeYIIdI7vzYMV//6kmnOZG+Ugs7jJlDfhvAKLOW+2duEMeMPuO4WfFWT8YJjR/0Q9liSJGlweVqddOxpwjQ+4oBPiMtydxBgDiMk2rfWqq6kFa1OxVi3G4DSSIWsyIlD1mdJkiRp4Hk73NSvyqPtuxoCT0ogdEnGIW9/I4Rg+8drWH3XH3C7nJz3x5VMPePsXn+/2Drc3P7MdxS+WEiSU2XsgiQuvWUqhgAdzg3/oWTBiTRurOeraUauuQROnXU5q05dRUJgQi/feXCZxoXjbXPTXnhoIY6qakgcN5GS7Vt6rd4elx6Kx+XlxMhgPiuqxzRtGqE1fiB+eetuh3vN7REpM24GpVG+f1xtlb6y3F3rbrP7Xneri/ZHF23CvmXELSeWJEn62RzbLSB8tQV6I4SgIm8HiWPGd304qS1pISIxkOadebTrVCzBgsyk2UPYa0mSJGkgeWxOLM/soGN3I6HnpBM8L/mQU2LdTidrn36Mdc8+Tnz2WC6+/zHiskb32nZ7WRM3rdhAzA8tBJp0LL55CrMWpKJ43TT/9TKKr76LtjaFv52r5+XTg3ji1Ge4ccqN6FTdQNzuITNkm1EDdbRtrDnka5MnTKKtsYH6XibQYtN965gn+BnZXWfDOWEKSquXUeFRVWQAACAASURBVPVettVsPtxuH1FkcPszpIyaS61Z4FahOXcHAaF+XcFtUHgEIVExlB8guAUwTozEWdaKu7F9qLosSZI0qOzbLOiiTeiiel8va60ow97c1LUFkNfjpb7cV0yqeWceNWEqCW4PpvhpQ9ltSZIkaYC4mzqwPL0dV62dsEvG4D81+pDfo6W+jtf+eAs7P13HjHPO5+zb7sEU1LP6vtcreOajQl5+8DvGNgjCskK56i/HEjMqGG9FHlXnTqfqxW+piPXj2ss1aGbN5M2Fb3JM7DEDcas/m6JR8c+Jpr2g4ZDjgOQJkwHY8/2mHucMATrC4vwJtvmWSW4OTwNgzh4326s2HmavjywyuP0ZdIHRJKNgCVNxFxUSlRxEbWdwCxDfx7pbANN438yGY7tMTZYk6cjnbmjHWdaKccKBC+X9dH/bhuo23C4vEUmBaEr2UBrlJVPxA7/e1+tKkiRJI5fLYsfyj214WpxEXD72kPdyBSjdsZWXb72BxupKFt10F8cuuQhV1fRoZ2nt4PpHv6HpnXISPBqmL0lj6fWT0Bu1tL/7GMVnn0VTvp0PTjBw84Uqy0+6iSfnPEmYMWwgbvWw+U/zBf1t3x3a7G2gOZzYzNHs+urzXs/HpofSXG4jKdTI2gYNutgYxpdAvq2cDk/H4Xb7iCGD258pUx9KSZQguKqEyOQgWurbabe5AF+xlL7W3WrNBnQJgdi3W4awx5IkSYNj31hmmnDgfcfLc3cQFBFFcGQUALXFvgeCZqMDXbudghjI9o8b/M5KkiRJA8pZacPy1HaEx0vEVeMPuM/5gQgh+O69N3nz3rsxBYdw4V//RlrO9F7bflFQxx1/+pLMAgeBwXouuGMaOSclQkcrDTedQcltT9Lq1fDnpTo+OSWWFxe8wrIxy1CVkRPyaEMNGDLNtH1Xc8h73mYdewLWirJeY4yE0WbcTi8nhwXz9d4GDDNmElmlxeP18MMvaEugkfN/+giTGZxCYZRCiKMFjd5X+bi2tPu62/LcA6cmm8ZH4Kq04bLYB7+zktSLpqYmFi9eTFZWFtnZ2XzzzTc0NDQwd+5c0tPTmTt3Lo2Njb1eu2rVKtLT00lPT2fVqlVD3HNppHFstaBPDERrNvR6XghBRf5OEkaP6zpWV9qKn0mLpmYP4CsmlRE+dkj6K/1yyXFPkgZWx95mLM9sR9GpRPxqPPq4Q8u+cbY7+O8j9/PFK/8ifdpMLvjL/2GOje/RzuMVPPROHh8+to0JrQrxkyO54k/HEBYXgDvvcyrOnEnt+7spSjPwm8tVUk5ayH/O+A9jwsYM1K0OKP/p0XhbXTjyDq2wVOaM41BUtdfZ24SsULR+GlI6VOxOD1Wp41A7BJk1gi/LPhugno98Mrj9mTKjcyjxTUBgKc0HhUNad2saHw6KTE2Whs/111/PKaecwq5du9i2bRvZ2dmsXLmSOXPmUFRUxJw5c1i5suduXA0NDaxYsYKNGzeyadMmVqxYccAPg9LRz1XbhqumDWMfs7YNleU4WluIz97/IaOutIXIpECqvt+OFyiLgIz4Y4egx1JfFEXRKIqyRVGU/3a+HqUoykZFUYoURfm3oij64e7j4ZDjniQNnPbdTdT/ayeaID0RV09AF2E6pOsbqyt59Y7fU7Txa0648DIW3HgremPP96hraeeav32F96NqYtEwa1k2Z141Dp1Wwf78LRRfdCWtZV5Wz/PjL0v03DbvPu497l78dSN3z3RDphlNiB+2r6sO6TpTcAhJ4yZS8PUXPaoma/Uakkab6ShtQ69R+dSUBMD8IhcbSj8esL6PdDK4/ZkyR51MSaSv+lvDzp2ERpm6glvwrbutzD/wultNsB/65CDs2+p6LektSYOppaWFL774gssvvxwAvV5PSEgI7777LsuWLQNg2bJlvPPOOz2u/eijj5g7dy5ms5nQ0FDmzp3LmjVrhrT/0shh32YBZX8tgd5U5O8E9me1uJwerJVtRCb7ikk1BGvRawRRiccNSZ+lPl0P5P/o9f3Aw0KIdKARuHxYejUA5LgnSQOnvaiR+hdy0ZgNRPxqPNpgv0O6vmT7Fl6543e0NTdxzh1/YurCc3qtqryhwMLtf/6Ssbs7CArx46K7pjN2ZgyiqQrLr06g9MF3afLTc+slGgrnZfH6wjc4I/WMgbrNQaOoCgHHxuEsbqajtOXgF/xI1rGzaK6rpbqooMe5URMjcLQ4OSUmlLeK29BnZDCuTKG4vY7y1vKB6v6Idui7KUsAhIRnEaAXtAQoeIuKiDrrTEpzrQghUBSFhDHj2PnpWixlJUQmp/T6HqYJETS9swd3rR1d9Mh9uiQNng3/KaS+3Dag7xmeEMDxSzL6bLN3714iIiK47LLL2LZtG1OmTOHRRx+ltraWmJgYAGJiYqir67llVWVlJQkJ+/eGi4+Pp7KyckDvQToyCCGwb7PglxqCJvDAE3oV+bkEmMMIjvIV0agvtyG8gsikIOr27qYiUpDmVVD8R0axj18qRVHigdOBe4HfKb5PmicBF3Q2WQXcA/zjcL/XcIx9ctyTpIHRXthI/Yt56MINhF8xDk1A/xM6hBBsWfM+n734HGFxCZx5810ER/asquzxCh793y5qPqpgkltD7MRwFiwfg06vwfXtm1Tdejv2GpUt4408fLKL8ydfxnWTrkOnGZ4tfn4O/2nRtH5aRutn5fgt63/6dNrUmWh0j7Prq8+Jzcjqdi5pbBiqqpCjM/Bei5WWMZMIer8InUvwZcUXLM2+cKBvY8SRM7c/l6KQqQmgIhJCqkswJwTiaHVha/RVI+vPulvj2HBQO2c+JGkIud1ufvjhB66++mq2bNmCv79/r6l4vekt0+BQ97CTjg6uChsea3ufhaT27W8bnz226+dkX5ZLeKSW4MZadkcLMvShQ9JnqU+PADcD+1KOwoAmIYS783UFcMCqX4qiXKUoymZFUTZbLCPv95oc9yTp8DkKGqh/MRddhJHwK8cfUmDrcbtY+/Tf+fSFZ0iZPI2lf36w18C2rrWdax75GtcHVSR4NRx3QQZn/Xo8Oo2X1oevoviq22i1qjx9hp6nzwnikdOf5vc5vz+iAlsA1U9DwDGxtOc34Kpp6/d1fiYTKZOnUvDNBjxud7dzBn8dsRkhqJUOjDoNG0LSwS2Ys9vNl3v+N9C3MCLJmdvDkBmQQEF0HguL62gx+vaVqi1uIdBs6Lbudsrpi3q9XhOgxy81BPs2C0HzkuQvyl+gg82wDpb4+Hji4+OZPt1XjXDx4sWsXLmSqKgoqquriYmJobq6msjInlu7xMfH89lnn3W9rqioYPbs2UPUc2kksW+zgEbBOObAM67NtTXYGhu6rbetLWnBP8QPe3EhAEVRcGpw7xku0tBQFGUBUCeE+F5RlNn7DvfS9IDraIQQzwDPAOTk5PS53mY4xj457knS4XHsasD6Uh66aH8iLh+Laup/MGlvbuK9v/2Vyl15TD/rPI5dciGK2nOO7asiC889u43JLQq6YD2LfzuJ8PgAvHW7qbthKY0/2KiP9uPPCwXJY6fz5vF/JdwYPpC3OaQCjoml9YsKWj8rx3x+1sEv6DR29lyKNn7Nns3fkjGj+5KelIkRfPFaIadPDWdVuWB+YCAn5zdxZ3Ye7e52DNreiz8eLeTM7WHIiBhPcaSCRnipLt2NqlUOad0t+FKTPQ3tuCoGNj1LkvoSHR1NQkICBQW+9Rrr169n9OjRLFy4sKsK6KpVq1i0qOeDmfnz57N27VoaGxtpbGxk7dq1zJ8/f0j7Lw0/4RXYt1swZIT2+QHnp+ttYX8xqeJN2wAoiVRIj5o0uB2WDuZYYKGiKCXAa/jSkR8BQhRF2fcgPB44tOonI4gc9yTp52svavzZgW1dyV5evv1Gavfs5vTrbuK48y/uEdh6vIJHP9jFm49tJadFJWaMmeX3zCQ8PgDnx89TcuZpNP5g4/NpBn5/iYal837PU3OfOqIDWwDVpMN/egz2bRbc9Y5+X5c8cTJBEZFsW/dBz3Pjff9NpukMWNu92HKOIb5Ui8vjZnPNdwPW95FKBreHIStpNqX7ikptzyUsNgBLeWvX+YPtdwtgHBMOGkXueSsNub///e9ceOGFjB8/nq1bt3L77bdz6623sm7dOtLT01m3bh233norAJs3b+aKK64AwGw2c9dddzF16lSmTp3K3Xffjdl86Ju1S0e2juJmvC1OTBMPnJIMvuDWGBiEOc63XrHD7qK5zkHUqCCad+Ti0KtYgyAt6cSh6LZ0AEKI24QQ8UKIZOB84BMhxIXAp8DizmbLgHeHqYsDQo57knToOkqasb6Yhy7CdMiBbdGmr1l9900Ir5fzVtxP1rGzerSxtHZwzWPf0PZ+BSluDdMXp3HOtRPRa900/+l89t5wPza7hgcXa3l3UTTPL3yZy8ZeNqL2rj0cgcfHo2hVmteV9vsaVdUwfs4plO3cTkNVRff3MxuITgnCXWwj2KDj86ixqO2CiSVeNux+b6C7P+LItOTDkBA3k+ZggVOn4C0qJOLM+ez5oa6rqNSP190eqKiUatRiyAjFsd1C8KmjUFSZmiwNjYkTJ7J58+Yex9evX9/jWE5ODs8991zX6+XLl7N8+fJB7Z80sjm2WVB0KobsvotAVeTv7Lbe1lLmewAYmRhEQ/Ee6iJUoj0egqLkHrcj1C3Aa4qi/AXYAvxzmPtzWOS4J0mHxlnRSv2/ctGE+BF+CIGtEILv3nuTDa++QExaJgv/cAcBoT0fCH29u56nnttKTpOCLkDPWddMIHpUMN7SbVTfcAnN+U7KE/249wwvMyacxmMz7iJAf2h76Y50miA9AcfG0fpZOc4T4vu9V/DYE+fy9euvsP3jD5l9yZXdzmXOiOHzVwtYNCOcVUUdnGY0siDPxj8yvuAW4T1qHgz05ui9syGg0epI0xioC4fQmlJCYv3psLtptbYD/dvvFjpTk5udOMsOrRS4JEnScBBuL46d9RhGh6HqNQds11Jvobmuttt6W0uZbwmGOc5EuKWcsihBumoE9cDvIw0tIcRnQogFnX/fK4SYJoRIE0KcK4ToGO7+SZI0NFw1bdQ/vxPVX+eritxHVfwf87jdrH3672x49QUyjzmBJX+8r0dg6/UKnlhbyGuPbmF6k0pURgiXrZhJdHIQ7W89RPG559K0q4P3TtBz98V+/O7Ue1l5/MqjLrDdJ3BWPIpRS/NHJf2+xj8klLRpx5D72Xpczu5Dc9qUSFStwniXlmaPSuOEaWTu1WJxtbGlbssA935kkcHtYco0RrM7SjCqqZLmzi2+fpyaHJc1hsqCvD73sjVkh6HoVFk1WZKkI0L77ia8dnefVZIBKjvX28b9aL2tpbyVALMfdcXFGNxO8qK8pJtiBrW/kiRJ0qFxWexYntuBolWJuGJcv/exbW+z8dZ9f2Tnp2uZcfZ5nP7bP6DVdw+Kmx0urnt6Ew3vlJHh0jBl4SiW3DgZP42DhpvPoPjOZ2n2almxVMP3Z2Ty2sLXWZS26KguvKoatQSdmEBHYSPte5r6fd3EuafS3maj4Ksvuh03+OsYNT6cloJm0iP8+SAkC61dML7My5rcVwe6+yOKDG4PU4Y5i6IolQB3O+W1FSiq0pV2BxCXPZr21hYaKisO+B6qnwZDlhnHjnqEp88Ck5IkScPOsd2CYvAtqehLRX4ufiZ/IpKSu45ZylqJSAikeONWAPZGqaSH9b9CpCRJkjS43M0d1D+3EwSEXzEOrbl/1XWb62p47e6bqcjP5ZTf3Mix5/UsHJVf3cK1920gbZsNs5+Os343iRmnjcJb9A2VZ8+k9v09FKToufZylSmnLuPl014mOTh5EO5y5AmYGYsmWE/zh8UIb//igfjR4whPSOL7/73TYyItc0YMDpuLc+MieF2bCHo9Z+a6WVv5OW6v+wDveOSTwe1hSo+bRklnUSnL9lzMMaautDuAuExfOl5lQW6f72OaEIHX5qJjb/+f1kiSJA014fbiyLViHBOGou37V0hF/k7iskajdqYcO9vdNNXZiUgMpHlHHh4FKiIgPXbGUHRdkiRJOgiv3UX98zvxtrsJXz4WXaSpX9dVFxXw6p1/wNZoZfEdf2LMrDk92ry1uZy/PfAtM+rAHB/ApffMIC49BMfqFRRfcCktJV5em6Pj4QuCWXnGk9w89Wb0mv7vo3ukU3QqQaeMwlVhw/59bf+uURSmLjyH+vJSSrZ+3+1c4hgzxkAd0Q1uvAYjZRmTyNqto9nVzubqTYNxCyOCDG4PU1rSSZRF+jb+cxcVEpEQiKWspevpSWhMLKbgECrz+w5uDZmhKH4amZosSdKI1l7UiOjwYBzf9/YL9uYmGqoqiMvav97WWmEDAREJgbB3N02hOoQGUpJPGuxuS5IkSQchXB7qX8zDXe8g7OLR/S5sVPjtl/xnxW3oDAYu+MtDJIwZ3+280+3lj69t47t/7WKiQ0v68TFceNtUTFobDTfOpeTPq2lUddx5oYbKRdN448y3OCH+hMG4xRHPNDECfXIQzWuK8dpd/bom85gTCAyL4Lv33ux2XKNRSZ8aRWVeAwuzong1ZBwau5fpu72s2fHCIPR+ZJDB7WEK9o8gWKvSHKoSWlVCQIwJR6sLe7MT8D1RicscTcWuvD7fR9FpMI4Ow7HTinAfeF9cSZKk4eTYXu9LSU4N6bNdb/vb7qtHYI4PIKymlJpIQbJXQWeSW6pIkiQNJ+EVWF8rwFnagvm8TAxpfY/xsL8i8vsPryRyVCoX/OUhzLHx3dpUNzv41d++wv/zeuLQctJl2cy7MBvy11N5znHUrqlkZ5qeGy7XctrCG3hm7jNEmPqu53A0UxSFkIWpeO1uWj4u69c1Gq2WKacvojxvB9W7C7qdG31sLF63YJbOxJfmdFxBwZy5zcvHtd/h8vYveD7SyOB2AKTrgqiI8JLSUkWTX/ftLsBXVKrFUkurtb7P9zFOiEC0u2kvahzU/kpSQUEBEydO7PoTFBTEI488wj333ENcXFzX8Q8+6Lk5OMCaNWvIzMwkLS2NlStXDnHvpeEi3F4cef1NSc5F6+dHVEpa1zFLWSvGID01DfVE2BvZE+UhXXfwD1CSNBDkuCdJvRNC0PTubtpzrYQsSME0/uDBpdfr4dMXnuGLV/5F5szjOfeuezEFBXdr81WRhVvv/YrJe52EBPux9I6pZE+NxPHCzexd9huay+ClORr+eUkMT579IleMu+Ko3qKmv/SxAfhPj8H2TRXOKtvBLwDGnTQPP39/Nr/3VrfjYXEBxKQF07SjgbToYL5KnkpSiYrH7uKrko8Ho/vDbth+ghRFCVEU5Q1FUXYpipKvKMpMRVHMiqKsUxSlqPNr39VKRoj0gETyoxRi26wUtzaC0r1i8r5tMCp3HSQ1OS0E1aTFIVOTpUGWmZnJ1q1b2bp1K99//z0mk4mzzjoLgBtvvLHr3GmnndbjWo/HwzXXXMOHH35IXl4eq1evJi+v78wE6ejQXti/lGTwzdzGZmSj0e7fTt1SbiMiIYA9324DYEeUQnpQ8mB1V5K6keOeJPWu9ZNy2jbWEDg7noBj4w7a3u108r9HHmDLmveZsuAsTr/upm4VkYUQPLmuiH8/tpVpLSrR2WYu/eMMzP4tWK+dRckD72HV6rnzIg2uJafy+sI3mBAxYTBv8YgTPC8J1aSj8a2ifhWX0htNTJx3OoWbvsZaUd7t3LhZ8bTUt3NRciT/CRuP4hHM2+nhrW3PDFb3h9VwPh55FFgjhMgCJgD5wK3AeiFEOrC+8/WIlxYxlr1Rvhnb2h35hESaus3cRiSNQmcwUllwkNRkrYpxbDiOvAaEyzOofZakfdavX09qaipJSUn9ar9p0ybS0tJISUlBr9dz/vnn8+677w5yL6WRwLGjHsV48JTkdpsNS1lJt/1t3S4PjVVtRCQE0rDd96CvNEohI3LioPZZknojxz1J8mn7oZaWdaWYJkcSND/5oO3bbTbeuPcuCjd+xexLrmD2xZd3q4jc0u7i+mc2Uf92KRkuDTkLR7H4uolo8v9HxbknUveJla1pOm690sgl5/6ZB054gEB94CDe4ZFJNekIWZiCq8KG7auqfl0z+bRF6PwMfPPm6m7HUyZFYAzSE1zVQWtcMrWRiZyyU+GL5t3UO/rOKj0SaQ/eZOApihIEnABcCiCEcAJORVEWAbM7m60CPgNuGfoeHpr0hOMpifLtGeUs2EXECeOp3r2/6rGq0RCbkXXQolIAxvERtG2qwbGrAdO4X+6ag1+KT194hrrSvQP6npFJKZx46VX9bv/aa6+xdOnSrtePP/44L774Ijk5OTz00EOEhnZPoKisrCQhIaHrdXx8PBs3bjz8jksjmnB1piSPCz9oSnJlQS4I0W29bUNVG16vICIxkKIXi3AYtTT5C9KTZg1216URaLjHPjnuSRJ07G2m8c0i/FKDCT07/aD7yLbU1/HWfffQVFPF6dffTNYx3Ys+FdS08uenNjOlxoveT8uiq8cTnxaA45lrqHh6Hc52LatOVtk7N4PnZz9ISnDKYN7eEc84PgLDFgsta0swjgk76JZMpqBgJp96BhvfeZ0ZZy0hPDEZAI1WZcxxsWz+sIRLTo3nna0T+dXOMmItgvd++AfLj71rCO5m6AzXzG0KYAH+pSjKFkVRnlMUxR+IEkJUA3R+jeztYkVRrlIUZbOiKJstluFP4U2JyaExQOA0KJhryzBGGrE1duBodXa1icsajaW8lPa2vnPn/VKCUf11OHYcfU9SpJHH6XTy3nvvce655wJw9dVXs2fPHrZu3UpMTAy///3ve1zz033UgKN6Y3XJZ1+VZNO4/qQk56LRaolJy+w6ti+bJSTOn5DqEqwRKgECYqInD1aXJalXctyTJHDVO7C+nIfWbCDswuyDPrS0lJWw+q6bsDVYOef2P/UIbN/fWsmD93/LzBpBaKw/y+6ZQVxkC9ZrjqfkkU+w6PTccbEG8yUX88qCV2Vg2w+KohByZiooii89uZdx6KemLDgLvcHAN290n70dc3wsiqIwxq7y5agcPFotF2x28/be9/v1vkeSYZm57fy+k4HfCiE2KoryKIeQgiyEeAZ4BiAnJ2fY/48YdEYSVT/qw9tJaqmh0c/XJUt5K4mjw4DO/W6FoKown5RJUw/4XoqqYBwbhn1LHcLlQdFphuQepOFxKDOsg+HDDz9k8uTJREVFAXR9BbjyyitZsGBBj2vi4+MpL9+/nqOiooLY2NjB76w0rPalJPv1o4JmRf5OotMyuq3BspTb0Bu11HS0k9hcw/epgjTFr1s6m/TLMZxjnxz3pF86T5sL6wu5oED4pWNQTbo+25fnbuedB/+C3mjkvBX3E9E5Iwjg8Qr+7708rB9XMcmtIXVmNHMvzEL88Cblt99OW4WW7zK1vHxmMLeffC+zE2YP7s0dZbQhBoJPS6bpnT20fVtNwMy+xx1jQCCTTzuTb99cTV3JXiKTfQ8RAkINpEyMYO/GWuYfk8Hn2ycyK/8HHp1jZ0v5BiYnHj1bLw3Xp4oKoEIIsS+n5w18wW6toigxAJ1f64apf4cszS+cknBBcks1u52+Gdsfr7uNSc9A1Wj6l5o8Nhzh9NJeKKsmS/0jvAKv04PX4cbT5sLT6sTd3OH709TR9XdPqxNPmwuvw43X6WH1q6u7peZVV1d3/f3tt99m7NixPb7X1KlTKSoqori4GKfTyWuvvcbChQuH5D6l4dGVkjwmDEXT968NV0c7dcV7iMsc3e24payViMQAin7IQ+91kxvlJd0YdYB3kaTBs3q1HPekXy7h9mJ9OQ93YzthF49GG2bss33hxq948693ExgWztI//1+3wLbJ7uSaJ77F81E1iV4Nsy7K4pSL0ul47jfs/fUdtFRreX6uymdXT+WlJW/JwPZn8p8eg19GKM0fFOOy2A/afsrpi/Az+fPVv1/qdnzSvEScDjcn6f35b/JMNE4vc3Z6efP7vw9W14fFsAS3QogaoFxRlH05a3OAPOA9YFnnsWXAEVOtIT0klbxIBX93B8V7SggKN2Ap25+CrPMzEDUq7aBFpaAzNdmklanJUq+Ex4vH7sLd3IHLYsdZZcNVZcNdZ8dtdeBpbMfT3IG31YnX5sLb5vJ9bXXiae7A09iO2+qgpbSedWvXsmDmPFwWO+6mDm763R8YN3Yc48eP59NPP+Xhhx8GoKqqqquCqFar5fHHH2f+/PlkZ2ezZMkSxowZ01eXpSNcV0pyP7aHqN2zG6/HQ+yPgluvx4u10kZEQiC123xjYEGUSro5a9D6LEm9sdvtrFu3jrPPPrvr2M0338y4cXLck45+Qgga3yrCWdyC+dwM/JKD+2y/ff1H/Pfh+4lKSef8FQ8QFL7/d0BBTSu/Xfkl2bl2Qk16ltySw5jRLqxXH0fJo59Rq9dy1yU60q+8nmfnPUeUv3yY+XMpioJ5cTpoVRr/U4jw9J20avAPYNqZ57L3h+8oz93edTwqOYjY9BAqvq0l/fjp7AmNZ9EP8FFTPk2OhsG+jSEzXGnJAL8FXlEURQ/sBS7DF2z/R1GUy4Ey4Nxh7N8hSYuewqeRGwAPtvxCwied1G07IIC47DFs+fA93E5nt3S9n1I0KobRYTh21CPc3oOug5CObsIrEB0evO1uRIcH4fb6TiigaDWoBi2KTgWNgqJVUVQFVMV3/kdrwoQQIACvQHgFgW4DdWU1CJcX4fbibXPx/INP+RprVVQ/DapBg/AKYmNju+39eNppp/W6XYZ0dHJst6CatPil9v1BCKCyMB+AmPT9620ba+x4XF7CEwLpeGc3XgWqwiA9dtqg9VmSemMymbBard2OvfTSS722leOedLSxbajE/kMdQScnYprYa1mbLpvefYMNr77AqIlTOON3t6Hz21/M6INtVbz9Qi4zHBoCEwJY/NtJ6Avfp/zy22irrsxn/wAAIABJREFU0LApS+XtxXGsmPcgE2VF/AGhCfIj9Mw0GlbvomV9KcHzkvtsP+nUM9j60f/4/OV/ceG9D3UtAZo0L5H/PbGdcyJjeSVpJjdufZ1RlfDWtw+w/MSjY//uYYuahBBbhRA5QojxQogzhRCNQgirEGKOECK98+sR8xghPfEEyjvrrIRZytFHGGixOOiwu7raxGWNweN2U7On8KDvZxoXjujw0F4kU5N/iYQQvtlZqwNXdRtuqwOv3Q1aFU2wH9pIE7rYAHRRJrRmA5pAPRqTDlWv6Qpwf1rsRFEU33GtiqrXoDHp0ATq0ZoN6CJN6GL90Uaa0AT7oWhVvHY3bmt71/f32F1HXdEB6eCEy4sjvwHD6IOnJANUFeYTGhuPKWh/ILzvQV9wnAn/qlJsoXpcWoX05JMGrd+SJEnSfu0FDTR/WIxxXDiBcxIP2E4IwRevvsCGV18gc+bxLLrpzq7Adt/62s+ezWWiQ0PasdFceNNEePUG9lx5G83VGv45T2X79fN5acmbMrAdYKYJEZimRNH6aflB4wOd3o9jz7uI2r1FFHyzoet40pgwQmP8qd5owW/efNp0BpZ+5+HfZWvweI+ObUjllOAASQhJwWVQcASoJLXU0NA5MVtfvj81OS4zG4DKXf1ITU4NQTHI1ORfGuHy+tKNq9vwNLTj7fCgmrRow43oYv3RhRvRBOp9QewAV+pUFMUX9Abq0XV+P224EdVfi9fpwdPQGeg2deCV+zD/YrQX9j8lWQhBVeEuYjO6pxtbylrR6lVqPB4SW2qoD/cS6VUI9u975kCSJEk6fC6LHevqXeii/Ak9N+OAnx+8Xg8fP/sE3737BhPmnspp1/0BjdZXbKrZ4eK6J7/F+WEViV4NJ1yUybwFgTReO4uSRz+hxqBlxaUGZly7godm/40gfdBQ3uIvRsiiVLSRJhpeK8DT0tFn2+zjZxORNIoNq1/E7fJNtimqwqS5CVgrbZybmsCaxGlkFkJHs5vPdqwailsYdDK4HSBaVcsojZG6cMGo1hr2OH0/cD9OTTYGBhEWn0jlroMXlVK0KsbRZhx5DfvTUKWj0r5ZWpfFjqu2DW+rE9VP4wtoY/zRhhp8qcdDvO2EoiioBi3aEAO66M5A10+D1+bEXWvHVWeXs7m/AI6d9f1OSW6srqS9taVHMan6chvh8YHsLLUQY6unJMxDuk5+8JEkSRps3nY31hfzUFSFsEtGo+p734XD43bxv0cfZPv6NUw/6zzmXP4bVNXXtqjWt742Y6edEKOOc2+eQrZhE2WLT8byRTPfZKk8dWM691/5BoszFsttsgaRqtcQdmE2wunBunpXn+tvVVXDrIsup8VSy/f/e6freMa0aALMftR9W4d13lkIVBZv8rB6x/NDcQuDTga3AyjFGM2ecEFSay3b65rxD/HrVjEZIC5zNFWFu/D2Y+rfOC4c0e6mY0/TYHVZGkZCCDxtLly1djwN7Qi3QBOk9wW0YcZhCWgPpCvQDfMF3JpgP/AK32xurR1Pmwxyj0bC7cWRb8WQ3c+U5ALfetvYjOz97+EVWMpbiUgIoHxLHhoEO6IUMgIPnBYnSZIkHT7hFTS8VoDb6sB8YTZas6HXdq72dt6+/08Ufvslsy5aznHnX9z1+WPNjmoeWPkt02sFoQkBXHr3VAI/uoPdV95CS43Ks/NVam6+gH+d/W9SQ1KH8vZ+sXSRJkLOSsNZ3ELLx6V9tk0aP5G0qTPY+Na/aW3wZYNqtCpTTkmmtriFc6aMYUPseE7YrrC9rYndFV8PxS0MKhncDqDU0HTyo1S0Hjf1BXsITwjoGdxmj6HD3kZ9Wd8/jACG9FAUPw12mZp8dBECT5sTV40dT2M7iqqgDTOgizahCfLrVxAxnBSN6lurG2VCG2ZAURQ8je24atrw2JwIrwxyjxYde5sR7R6MY8L61b6qMB+DfwDm2LiuY80WB652D+GJgbQV+OoNlEQopEeMG5Q+S5IkST4t60pp39VAyIJUDKm971HebrPx+r13UrZjG/N+fR05Z/gqiXu9gr/9N59Pnt7JRIeG1GOiueDXcdhvOpmSRz6m2qDl3iuCOP33j3HHzDsxaHsPnKXB4T85ClNO5/rbgr5LFM26+Aq8Xg8bXnmh61j2zBgCQv2o/bqO+lMXo3MK5m/18uLX9w5ux4fAyP4UfYRJjZ5MWYTvSVdEfSXacD8aa+24OvbP0sZn+bYO6HdqcraZ9jwrwiNTk490wito21yDp8WJp7EDRaOgDTOijTCiGnUjZpa2vxRFQTXq0EYa0YYbUTQqnqYOXLVtcib3KOHYWY+iVzGkh/arfWVBPjEZWV1VGWH/0oygGH/8yovxaBRqQiE1/phB6bMkSZLkG79bPy3HlBOF/8yYXtvYGhv494pbqdu7mzNuvJVxJ84DoLXdxfX/2ET7/yq71teePGY35UvmYNnQyFfZKqtvmcIjV73LnMQ5Q3lb0o+ELkpFF22i4d8FuJsPvP42JCqaqWecTf6Xn3XV/dHoVCbPT6JmbzOnHj+THeEpLNys8GFrCRZr0VDdwqCQwe0ASo2dSWW4b7eV5JZqmv0UEFBfsb+oVGB4BAFh4VT0o6gU+FKTvXY3HXubB6nX0lDoKGmm7omtNL5RBKqCNnxfUDt8qcePPvooY8eOZcyYMTzyyCMANDQ0MHfuXNLT05k7dy6Njb1X41u1ahXp6emkp6fz4osvohq06CJNaCM6g9zGdtx1doRLPpQ5UgmvwJFnxZBl9m01dRAOWysNleW9rLdtRdUoVAkXiS012MJ0eDQKydE5g9V1STqggRr3Vq06OgqvSEcnl8VOw+uF6OIDCD0zrdfPGc11Nbz2x5tprq3hrFvuIX2674FjmdXO9fd/SdoOm2997R8mkZJ7P4VX/IHWGpVnTtXgvvta/rHwBaL9o4f61qQfUXQazBdmI9wC60t5iD6KfU5bdC4BYeF8/M8n8bjdAIw+Nhb/ED/KvqjGcspiAlq9TN0leOXzO4bqFgaFDG4HUEJwIl6tgj1UJcVWS7HHV5nsx6nJiqIQlzma6sJd/XpPQ0Yoil7FsVOmJh+J3E3tWF/Nx/LUdrw2J+bzM33Vjod5Pe3OnTt59tln2bRpE9u2beO///0vRUVFrFy5kjlz5lBUVMScOXNYubLnnmcNDQ2sWLGCjRs3smnTJlasWNH1YVD106KNMKIxGxBe8Nic1L+Yh6veMdS3KB0mZ2kLXpsL45jwfrWvLvKNab1VSg6LC2BndStJLTVYwrzECQ0mvf+A91k6PIqiJCiK8qmiKPmKouQqinJ953GzoijrFEUp6vzav6n8EWawxj1JGkm8Tg/Wl/NRNAphF2WjaHt+1G+oquC1P95Ch83GuXfdS9J435Y9XxfV89e/fs2UakFwfADLfjcK5b7TKX1kLdVGDQ/9OpKLbl3F1RN/g0btvTCVNLR0ESbM52XiqrTR8EbRAbPmdAYDcy77NfVlJV3FpTQ6lZzTkqne08yMk+ZSFhTN0q8UXm/Kpa21eihvY0DJ4HYAaVUtyRoTtWFe0trq2Nlgwxiow1LW0q1dbEYWrVYLrdaDB6yKToMhy4xjp1WuZTyCCLeXlvVl1Pzf9zjyGgick0jU73MOumn6UMnPz2fGjBmYTCa0Wi2zZs3i7bff5t1332XZsmUALFu2jHfeeafHtR999BFz587FbDYTGhrK3LlzWbNmTdd5RVHQmHTookyoRi0du5uoffh7Wj4ulZW/jyCOnfWgUTBk9S+OqSrYhaKqRKdmdB0TQmApsxGREMCuPdVEOZrYG+4mRd/72i9p2LmB3wshsoEZwDWKoowGbgXWCyHSgfWdr484gznuSdJIIISg8a0i3HV2zOdnoQ3puQ62vqyEf99zKx63myV/vI+Y9EwAXvpiL+88uoVxbSrJM6JYeoqF6kvmYd3QyJejVdbcNYfHrnqPKVFThvq2pIMwjgkjaH4yjm0WWj8tP2C7tKkzSJ92DN+8/ipNNb7gNfvYGIIjjRR+XEnDoqWEN3jJ3A1vfH7nUHV/wGmHuwNHm1RTDLvDm5m7p5aC8nrOjY/DWtnWrU1sum9mo6pwF5kzjzvoexrHhePYXk9HcfMBCwJII4ezvJXGNwtx1dgxjgsn+PRRvf6CAWh6fw/OqrZez/1c+lh/Qs7ou2Lh2LFjueOOO7BarRiNRj744ANycnKora0lJsa3NicmJoa6uroe11ZWVpKQkND1Oj4+nsrKyh7tFNVXYTn6phya/ruXlo/LsO+oJ/TsdPyS5DYwI5kQAkeuFUN6KKpf/35NVBXkEZmcgs6w/2fd1thBe5uLiMRAGj74FoAdkSpZslLyiCSEqAaqO//eqihKPhAHLAJmdzZbBXwG3HI432s4xr6hGPckaTi1fVONY6uFoLlJGDJ6PpisLd7DG/fehUarZcmd9xIWn4DL4+Wvr21H/aqeBKFh5vmpZBY8zO4rP8TtUnnxdB3Tr7yDBzKXHHG1QX5JAmfF465po2VtKbpIE8axvWddnXjZVZTu2MK6555g8R1/RqNRmbEolY+e3clxS0+h7u2XuOBLK/elfsNSewN6k3mI7+TwyZnbAZZqziA3SkURggBLNYZwAw1VbXh/VBAqIjkFrd6PqsL8fr2nIdO35k2mJo9sXqeHpg/2UvfkVjx2N2GXjCbswuwDBrbDKTs7m1tuuYW5c+dyyimnMGHCBLTa/gUxvaW89PULTxOoJ2xpFmGXjkG0e7A8tY2m9/bg7XD/7P5Lg8tVacPT1IFxbP+qJHvcbqr3FBKbmd3teH1nManAaBPasmIA9kYqpIaPGdgOSwNOUZRkYBKwEYjqDHz3BcC9pqAoinKVoiibFUXZbLFYhqqr/TaU454kDbWO0haa/rcXQ5aZwBMTepyvLirg9T/djs7Pj/PuWUlYfAJNdifXP/wNARushGi1nPWrJOJevpDSh9dQZVL5x7VJ/PrON1mSdZ78eR/hFEUh9JwMdAmBNPy7AGeVrdd2geZwjl96KWU7tpK/4VMAUidHEJkUyNY15biWXEJcnSCmTOHtT24eylsYMHLmdoClROfwfvgHgIfE1lpaDAoet5fGWjthsQEAaLRaolLS+r3uVtVr8EsPpT2vAbFQyAFmBOrY20zjm4W4re34T4sm+LRRqIaD//M62AzrYLr88su5/PLLAbj99tuJj48nKiqK6upqYmJiqK6uJjKy52fY+Ph4Pvvss67XFRUVzJ49+6Dfz5hlxu93k2n5qBTbN1U48qyEnpshsxFGIEeuFVQwZPcvuK0vK8Hd0dFtf1sAa6UNFLBovCQ11+DRqdQHQ0rczMHotjRAFEUJAN4EbhBCtPT3d44Q4hngGYCcnJw+19EM19g31OOeJA0Fj81Jwyv5aIL9MC/JQFG7/5utyN/JWytX4B8cwrl33UtQRCRFtS3c/9hmJlgFerOBJfObsfzudDxVCl+MVbFecw4PH387Rq1xmO5KOlSKTiX84tHUPb4F66o8Iq+diCZQ36PdhLmnkvflp3z64nMkT5yCKSiYmWel8u4jWwk9YQ7N/s9zwYYW/pb4NWfZatEHRA3D3fx8cuZ2gKVGT6LaDEKBpNZaKry+2SlrZfcnKLEZWdQW78HtdPbrfY2jw/A0d+Aa4DQu6fAIj5fmj0qwPLsdISD8ynGEnp3er8B2uO1LvSsrK+Ott95i6dKlLFy4sKsK6KpVq1i0aFGP6+bPn8/atWtpbGyksbGRtWvXMn/+/H59T9VPS8jCVCJ+PQFFq1L/3A6aPyyWa3FHGEduPX6jgtH46/rVvrLAl4Xy0+C2vsJGcLiRXfVtJLXW0BauQygKKdGTBrzP0sBQFEWHL7B9RQjxVufhWkVRYjrPxwA983aPEMMx7knSYBJeQcN/CvHYXYRdlI1q6j5ul+7Yypv3/ZFAcxhL7rmPoIhIPsmt4dH7NjHJCmEZIZwX/w4V19+IvU7h+YUGUh96lDtO/LMMbI9AmiA9YcvG4LW7qH8xD6+zZwVlRVWZd+W1OO1tfPHy8wDEZ5lJHG1my8cV6C6+glFVXqLKFN5Zf+TN3srgdoAlBSWDRsEeopLttJLbakfVKFgrfhrcZuP1uKndu7tf72vINoPi+9ApjQxuq4O6p7b79pGbEkXU9ZOPqFnIc845h9GjR3PGGWfwxBNPEBoayq233sq6detIT09n3bp13Hqrr27M5s2bueKKKwAwm83cddddTJ06lalTp3L33XdjNh/amgy/pCAir5uE/9RoWj+voO4f23DV2Qf8HqVD56qz465zHHC9Tm+qCvMJCAsnKDyi23FrZRth8QHkVrWQZKvDEuYhEg2B+sCB7rY0ABTfFO0/gXwhxN9+dOo9YFnn35cB7w513wbKcI57kjQYWr+ooKOwkZAFqeg7MwT32bvlO96+fwUhUTEs+eN9BISG8fTaQtb9YwfZ7SqZx4UyK+8Gqh57n+oAlRdvzOZ3d3/A3KS5w3Q30kDQxwVgPj8LV0UrDa/uQnh6JtKEJyYzdeFicj9fT+mOrQDMODOVjjY3HQnH0xocxiWfwbOWTbhajqz6AiN/eukIo9PoSNT6UxfaRFJLLTtrWjk5OpD6ip8UlercLqOqaBdxWaN7e6tuNP469MlBtOc1EDwveTC6LvWTEAL7D3U0vbsHVAXzBVmYxkcc/MIRZsOGDT2OhYWFsX79+h7Hc3JyeO6557peL1++nOXLlx/W91f1GkLPTseQaabxzULq/r6F4NNT8J8eLVPvh9G+B2jG0f1LSQaoKsgn7iezti6nh6Y6O+lTo9hTuBuzo5kfQmGUrv/vKw25Y4GLgR2KomztPHY7sBL4j6IolwNlwLnD1L/DNtzjniQNpI6SZlrWlmAcH47/9O57zhZt+pr/PvIAEUnJnHP7n1AM/tz2r+8J+q6JWEXDCbOdaJ65gJYq+Gy8inLjlTww/bdoVRkaHA2MY8IIOTONprd30/TObkLO7rnf8Yyzz6Pw2w2se+bvXPLg40QkBpI+NYodn1Vx/BXXEvjQCuKLVd7++A8sOXv1MN3JoZMzt4Mg1T+W4nAIaailvslGQJQRa0Vrtzam4BBComKoKuhfUSkA4+hwXDVtuK1yz9Dh4u3w0PjvAhpfL0QX50/UDZOOyMB2JDGOCSPqhinok4Noemc3Dat3yWJTw8ix04o+MRBNsF+/2rfUW2i1WnoUk2qoagMBoTEmHEW+DJWdEQqpslLyiCWE+FIIoQghxgshJnb++UAIYRVCzBFCpHd+bRjuvkrSL52nzUXD6gI0IQZCz07vFrjkf/U57z+8kqjUNBbf+Rda0XPd/31F1KZmgvy0LEj7ErHyejos8NKZgUx9bBVXz7xRBrZHmYDpMQSelEDbdzW0ri/rcV6r1zPvV9fRbKnj85f+CcD0hSl4vYJav/G0hcdw0eeCfzZsxdVYPNTd/9lkcDsIUkIzyItUUbweYm31dARoaGt24rB1X18bk5FFddGuA264/FPG0b4UKEee/FwxHFwWO3VPbsW+zVdmP+LK8SOyEvKRSBOkJ/yysQSdkoxjRz11j2/FVSvXlw81d2M7rkobxjH9T0muLvIVxuu1mBTQZlKJbqoBYG+ESmrE2AHqrSRJ0i+TEILGNwrx2JyEXZDVrc5H7ufr+eDv/0dc5mgW3/4nihrd3H7vV4wvdREUrmOe7QEcz7xKdYDKOzdP4+Z71jI1euow3o00mILmJmGaEkXLx2W0barpcT4+eyw5C85i+8drKN76PcERRsbOiiP/mxqCrryR2HpBcpHK2+tuGobe/zwyuB0EKdGTKQ/3/adNaK2jRvEt5u6x7jY9i7amRlos/avNoQ0zoov2x5En190ONcdOX8DltTkJXz6WoDmJPaoRHor+PtA4kh3qPSqqQtDsBMKvGIfX4abuia3Ytx6xdWuOSI5cK+CbTe+vqoJ8tH5+RCSN6na8vsKGzk/DXkc7Ca11CI1CXQiMip0+oH2WjixH+9h3tN+fNDLYvqyiPb+B4NNGoY/fX8Mg9/P1rPnHIySOncDZt93DR/mNPPvgd0xqUohNcDHl62vxfFnM5xM0ND5+G/dc9AIhhiOnVoh06BRFIfTsNPwyQml8uwhHnrVHm2OXXERYfCJrn3qUdpuNqaePws+kI7c+lo6EUSz9QvCv5lxclv7t8jLcZHA7CJIjxlLV+dlwnKeBgvYOwFdc5cdifrTutr8MY8JwlrTgsfWvyrJ0eIRH0PRBMdaX89FGmoj87WQM6T03Rj8UBoMBq9V6VH8IEkJgtVoxGA59ZtuQGkLUdZPQxQbQ8FoBje/ultWUh4gj14o2yoQ2vP8VMisL8olJzUDzk/1CrRU2wuL8ya9uJbmtDkeYDq+qkBo5bqC7LR0hjvax73DGPUnqL2d5K81rijGMDiPgmNiu4/sC26RxE1l00508ubaEjf/MJ7NDw5jIXaS8fgPC4uK1xWGc9I+3OH/iJbK+xS+EolEJuzAbXVwA1ld30bG3qdt5rV7Pqdf8DntLM5/86ykM/jqmL0qhqqgZdenviGoUpO5Sef2jPwzTHRwamVw/CJKDkunQK7QHq2S217O2wcbEQB31P1l3G5GYjFbvR83uQrKPndWv9zaODqN1fRntuxrwz4k++AXSz+Zpc9HwSj4de5vxnxFDyIIUFO3hPw+Kj4+noqICi8UyAL0cuQwGA/Hx8T/rWk2QHxFXjqN5TQm2DZW4qtsIuygbTUDP/dqkgeG1u3CWNhM4K6Hf17icHVhK95Kz4Kxux4UQWCttpE2JJLeqiRPsFuqjPYSixWyQFWZ/qX4JY9/hjHuSdDBehxvr6l1oAvWYF+9fZ5v3xSddM7an3HAbd67agXlLC1GKykTXq5j/8xWlEQq5vz2ZW866H5PONMx3Ig011U9D+GVjsTy9nfoX8oi4chz6hP2z/lEpacw4+3y+fv0V0qbNZPRxx5C7oZItRS7+n737Do+yyh44/r3TJzPJZFoS0gMEQkITsQsWbFhxFeygWFfdXctv3XXd1W26a99VdHctFAv2LqBgL6iISguBVEJC6mSSSTKT6e/vjwkqS1hJIJkk3M/z8KTNzHsGmMl73nvPOYcUTOD8Tzdx15gKzq1dgy7z0Dg+k58mk9t+kKBNIFWlx2XtJN3TwDaXF2t6+m4rtyq1mtSRo6gv37rXj61NN6FO1tNV3CKT234UavLhWlJMxBPAOnsMpoP33wBrrVZLXl7eT9/wACfUKpJPG4kuw4z75TKaHlmHY14R2jRTvEMblvxbWyHaPXZsLzVvqyQaiZCWP3aX73vbAgR8YewZZkrfL8fe7mLLuKjslHyAk+99ktR3iqLQ+kopkbYAzmsmfj/PdvOnH7Li0QfJLprAtJ/fwq//+Q1jtwcx6COM33o3tm11fDxZTd4f7+LmgjPj/CykeFKbtDivGE/TvzfgWrQJ51UTdzmnOnTWbCq++YpVjz9CxthCps0Zw2v3f4v7xGuxP/xzCjarWMyvuOqq1TCIV/3ltuR+kmtwUmNXSGzaAdEoIlmLu85LNLLr9sq00WNpqqogEg7t1eMKITAW2vGXtfU4mFnad/6tbpoeWYcSiOC8cuJ+TWyl3kuYnELK1RNRIgpNj67/vi5U2r+6SlpQmbW71G/9lPqyUgBGjN41uXV19xeIWjQkuuoRikKJU5BrTt/tMSRJkqSf5v2ynq5NLVhOzkWfnQRAyacf8s4jscS2aO6N/OnetYzfHsKmb2HK578joa6O184bwRlPvMvJMrGV6N4Zd/l40KhofnLjLhNY1BoNM6+7iZC/i5WPPcyI0Rbyp6awaQsoU6Yx5zN4QWmjed3zcXwGPy1uya0QYpsQYqMQYp0QYm3392xCiFVCiLLuj/tW3BhHuZY8tjjViFCIVK8bjx4i4Sitjb5dbjdi9BgioRDN1dv2+rENhXYIRwmUtu7nqA9siqLQ8dkOXIuL0dgMpFw/GX1OUrzDkgBdViKp109Gk2Kk5ZnNtH9YM2zr9uJBCUfxb23FUGDrVaO0hopSzHYHZuuuq707OyXXEyW7oxGArSlqcq1j9l/QkiRJB4hQg5e2ZZUYxloxT8sAoOSzj1jxyINkFo7HdsY1PPnAesa3QWr4Gw5e+RdaErx8+5ef8es73iXDnBHnZyANJhq7MZbgRhSan9hI2BP4/mf2zGymXXApld+sYcN7KzjiZ6MRQNWki7F4o0z7RsXiz/8K4cCeDxBn8V65Pa57jt7U7q9/C7yvKEo+8H7310NSXspEylNif735/ma2R2Irs+66/2oq1b3i0VBeutePrc9LQhg1PXY8k/pGiURpe60cz9uVGMbZcV4zSY75GWTUSXpSrp6IcZKT9ne30fpSqWw0tZ8EtnlQAhGM43q3bbihvJQRo3ZPWFtqO0m0Gyhze2OdkgXU2yA37eD9FbIkSdIBQQlFcT+/BZVBg3X2GIRKUPL5x6xY8ACZ44rwTr2QTx4vJS8gyG58mcLPFvL5QQLb4n9zxVl3olVp4/0UpEFIm2rCMX88UV8Y1xMbibT/0Kh2yswzyJ00hY+WPEHA28jBM3PYVhXGP+MCZn2psFJR2PTO3+MY/f8W7+T2v50FLOn+fAkwK46x7JM85wRqu88TD4q2samzCyF2T24THU4SLMm9qrsVahXGAhtdJW6UiFy92lfRQATXks141zSQeGwW9ovHodKr4x2W1AOhVWM7byxJJ+bg+7YJ1+Jiov5wvMMa8vwlbtAI9Pl7PxLC1+6hrbGetNE9JLd1XuwZZrY0dFAQbCFk1RHSCHJS5IxbSZKk3vC8U0WowYdt9hjUZh1bVn/CiofvJ72gkK0Zs2h+q5HUSJjCkkdIr/iQlRfnMnvhxxw2cu8alUoHLl1mIo7Lioh4AjQ/voFIRyzBFSoVp1x7I7qEBJY9dC/jp6eRaDdQYjsejaLhrM/ghW3PEGofnONZ6ODlAAAgAElEQVQa45ncKsBKIcQ3Qoirur+XqihKPUD3x5Se7iiEuEoIsVYIsXawdl3MteTRZRCEzCryu5rZ3NiBxWnEXb9rciuEIG30GOp7sXILsTmUSleYwDbP/gz7gBPpCNL82AYC5a1Yf5aP5ZTcfZpfK/U/IQRJM7Kxzh5DoNJD87/X77KlRuodRVHoKnFjGG1Fpdv7izqNFWVArLTixyLhKG0NPmzpJkoa2snpbMJji6JWIMu8952YJUmSDnT+rW46P6/DfGQ6hrE2tn7xKcsfvo/UMQWs1Z2MZW0n1nALh675O35KqLr7Un5123KshiFb1ScNMH2uBcel44m0BWh+fOP3o0ZNyVZO+fkNuLZvY/XLT3H07Hxam4O4T7+R4zYofNel4/3nb4xz9D2LZ3J7lKIoU4CZwHVCiOl7e0dFUR5TFGWqoihTnU5n/0W4D9JMaRhQ4UmOkupposMfxug07LZyC7Gtya11tfg7O/f68fVjrKBR4Zdbk/ss1OSj6ZF1hJt82OcWYTpUdp8eSkwHp+KYX0S4NUDzI+sI1u3960f6QbjJR8Tt71WXZID68q0IoSJ1VP4u329r8hGNKiSmGNne1I7N3UBdcphMtRGtWm6PkyRJ2huRziDul0rRpCZgmZnH1i8+Y9lD92LPG8M3gRnkbVeweLdy2Bd3s76wjbylz3HuzN/I2bVSr+lHWrBfWkSk1b9Lgpt30FSmnHoW3614C6LbyJ3ooMSXR8iaycUfKrwT+pLKzWvjHP3u4pbcKopS1/2xCXgNOBRoFEKMAOj+ODjXu/eCSqjI0Vmpt0YwNdaAohA0afA0+QiHdu1y/H3dbWXZ3j++To1hlAX/Fvd+jftAEdjmoelf61HCUZxXT8RYIGdvDkWG0VZSfj4JgOb/bMBfJpus9VZXSew9pLevgYbyUuyZWegMxl2+v/MCXodOkOp1o4qEKXNEyTH2uBFHkiRJ+i+xsT9lRP1h7BcUUPbNapY9dA+JmaMo6TieUR4tafUfUbjxEb66OJcLFq1mXMbkeIctDWGGUcnY5xUSbvHjemITEW+sV9C0Cy/FmZPHO48+yMGnOADYdsyvmFSp0NRs4OtlNxKKDK7+J3FJboUQJiFE4s7PgZOATcCbwLzum80D3ohHfPtLbmImFQ4VwuvFEvTSrIqiKNDasGvH5LTRsZWPhrK9r7sFMBTYCLf4CTX7fvrG0ve6iltofmIjapOWlJ9P6tXoE2nw0aaZSLluMhqrHtfiYnwbB2epwmDlL3GjzTCjtuj3+j6KolBfUUbaf40AAnDXexECtoeDZHbErk9ucqrJtcj5ppIkSXvD+1U9/hI3lpl5VFWv4+1/3oMuJZfGzhlkBbWMLX2OBM/LtD5wHVf+9hUStAnxDlkaBgyjrTjmFRJy+XA9sZGoL4RGq+W0X95CKBDgs+f+xdRTc9jRmoB7zDFc+gGsMDfw7iuL4h36LuK1cpsKfCaEWA+sAZYpivIO8HfgRCFEGXBi99dDVq59HFscsRq2KaKdqmBsmf+/tybrE0zY0jN71VQKwDA2ttLi3ypXq/aW95tGWp7djHaEGefPJ6GxG3/6TtKgp7bocV41EV1mIu6lW+j8qj7eIQ0Jkc4gwe3tGHu5JdnT2IC/o323eluIvb9ZUhLY2uwlrytWNlFtV5HrlM2kJEmSfkqoyUfb21Xox1hpUG9j2T/vQbFkEvKfiCMU5aD1D7Mj81uKXnqTk46/Nt7hSsOMId+KY24RoWYfzd0Jrj0zi+MuvZLqDd8R9K3Blm6ibNRs0l0azOU6vFV3U1ozeDbbxiW5VRSlUlGUSd1/ihRFubP7+y2KosxQFCW/++OQ3nOblzKJHfZY7cNk0c56Tycqtei57jZ/LA0VZb2a3amxGdCkGOXW5L3U8WktrS+Voh+ZjPOKCahNsv5vOFElaHFcPh7DWBttr5XT/sF2OQv3J/i3tIIChl6OAKqviDXA66lTsrvOi22EiS0N7RRE2oiaNHiNgtwUuWVOkiTpf1HCUdzPbUGlV9E22sPbD91D0JCGLnoqlq52xm+4l22zzVy4+EuynaPjHa40TBnGWLFfXEio0Ufzk5uIdoWZcPzJFBx1DF+8+CzjjlDwdglqDpnLxZ8Iliaq+Hrp7wgPku3Jg20U0LCSm5xHswUUFYwOuKl0+0hKMeLuofFNSt5ofJ42Olt71yDKUGAjUOUhGpDjUPZEURQ8727Ds6wK4wQHjkuL5KifYUqlU2O/ZBwJB6XQvrIaz9uVKFGZ4O6Jv6QFtUWHNt3Uq/s1VpSi0epwZOXs8v1IKIqnuQvriAS2NHSQ43Xhs8Yu8OUmj9xvcUuSJA1HnpXbCNV76ZoU5a1/3UNQ48SknYWztYK02vvRPHAVF968VM6ulfqdscCG/eJxhBq8ND+xEaUrzIlXXkdyWhpfvfIoow9OpMp0EOpoCoesVdGpXcXzKz6Id9iATG77VW5SLlGVoCsZ0tqbUBTQWPW7jQMCSBsVuwLXWFHeq2MYxtogohAoa9svMQ83SlSh7fVyOj6swXRoGrYLChAa+d9+OBNqFdbZYzAflU7n53W0vlwqE9weKKEo/rJWDOPsve6u2VhZgTM3D5V614tErY0+lKiCxqbH7Q1ia23AZQljQo3D6Nif4UuSJA0r/rJWOj/ZQXikijeeu4eoyobJeA45NZ8QMT3Loa+8xeFHXxLvMKUDiHGc/YcE9/GNqKNaTr/ht3R1duBpeAOtQU3F4ddy1leCtzBj/eZ2NtTEv1RSnuX3I5PWRIraSIslgqmxFgCfUUW7y0/Qv+tKqzMnDyFUNFb1LrnV5yYh9GpZd9sDJaLQ+lIp3q8aSDwmk+SzR8sZtgcIoRJYTh9J0gnZ+L5twv3CVpRBsl1msAhUtqEEo70eAaREozRWVZA6Mn+3n7nrY7tS3CoFY8iPzuOmNjlMji5ZjqeQJEnag4g3hPvFUqKJ8MZHD4CwYkw4m1EVL6Cc3MQFi77EYc2Id5jSAcg4zo5jbiGhZh+uxzdgd2Ry/KVXU7NpHWnZ5bREbDRmTOO8DxW+tNfz2rOP4gvGdzepTG77WY4xhVq7QNlRi0Gl0CxiY4D+u2OyVm/AnpVNY8XejwOC2CqVYYyVrq1uWV/4I0okivuFLfi+ayLpxBwsM/PkyfUBRghB0gk5WGbm0rW+mZalW1DCMsHdqavEjdCpMIxM7tX93PU7CPm7SB25e72Xu86LUAmqggHSvS4AtjrU5Joz90vMkiRJw42iKLS+WkakM8iqrUuIYMGkn0lG7X/IvvMMzvzVk6iEPF2X4scw1oZjXhHhFj/Nj22k8NDjKDjqGMq+fANrWhuV+ecwoTqRbU0JHBtZyL1vfhPXeOWrpZ9lJ+VQ5lBBOMwhhgDl33dM3r3uNjVvNI1VFb1OUg1jbUTbg4R6aFR1IFLCUVqWbqFrgwvLzDySZmTHOyQpjhKPycJyxkj8xS20PFOCEpIJrqIo+Le60Y9KRmh792ugqTK2u2RPyW1yipGtzZ0URWKlEpudanJtu48MkiRJksD3dSP+4hbWuz7EE1awcgRWsZATXlxC0WHnxDs8SQJiXZTtlxYRafPjenwjx59/JclpaXjqXiOiBCmfOJf578Miq4rUdf/gnU0NcYtVJrf9LNM+jrLucUCT8bCpzYtaq+qxY3LqqFhTqY4WV6+OYRhrBZBdk4nVEbY8U4K/uAXL6SNJPEauGEmQeFQGyWePxr/FjWtJMdFgJN4hxVXY1UWkNfD9OLHeaKgsR6PTY8/I2u1n7jovtnQTW+o7GB/1gICGZMhNmbQ/wpYkSRpWQs0+3G+U0dC1jVJvNSmhfDKP2Miche9iTpR9CqTBxTAqGcf88UQ8QTxPlXPaFb8m4OtEr/+IBlMBGgpJK9aRZfmEf728jBq376cftB/I5LafZdvGUNc9ZWN0sJW6dj+WVGPPyW1ed1OpXtbdqhN1aDPN+Lce2MmtEorgeqoY/xY3ybNGk3i0rE+RfmA+bATW2WMIVLThWrTpgO4w7i+N1egbxlh7fd/GyvIem0mFgxE8ri6S00xUNHeS09VC2KIlpBXk2OTIiqFOCHGKEGKrEKJcCPHbeMcjSUOdEo5S/e+vCAa7WOP+ipRgEkf9dhIn/uKheIcmSXukz7XguHw8kY4g0eVtzJhzNa11Jeh06/AVTee8z+DxxAyqhY3rn/uOYBzKwWRy28+yk7LpMEJUL0jviA04Fkm63WpuAZy5eQiVqtcdkyG2NTlY00HEG9rnmIeiaDCCa1ExgfI2rOfkYz58RLxDkgYh08Gp2M4fS7C6HVf37LYDUaC0FY3DiMZm6NX9otEITdsqv78Q92OtDT5QQEnSEAhHcbQ10mmJlVhkJe6+yisNHUIINfAIMBMoBC4QQhTGNypJGtq+vPNFDF4Na1tWk6T1M2fJn8g7eGa8w5Kkn6TPScJ5xQSivjCOzTaKDptBZ/PHjDmvAH1EcM7nKv7vtCzW17RxzztbBjw+mdz2s6zELBACb3KUJFc9AD6DoMPtJ/RfWyO1Oj2OzGwaK3vXVApi86hQfliROZBEA2FcCzcRqPJgnTMW0yFp8Q5JGsQSJqVgv3AcwR2dND+xkajvwLogpISiBCo9fVq1ba2r23Mzqe4RZy1qBRQFY+MOmi1BkoWWRF3iPsctxdWhQLmiKJWKogSB54Gz+vugiqLgDXkJBQOsfulZQgE/iqLI0V7SkKYoCi/96o9k+tKp7CjBOCrIxQufQGdKindokrTXdFmJOK+cgGGMlWOvuorktDSqd1RjnzePqV97ODcxiaunjyQ/1TzgsWkG/IgHGJPWhF1txJUcwFqzDcNIFU1ESQTaGn04s3Y96UsdlU/F2q9QFKVX3X21GWZUZi3+LW5MB6Xs52cxeMUS22KCNe3Yzi8gYZIz3iFJQ4BxvAP7JYW0PL2Z5ic34bxiAirjgfF2GNjmQQlF0fdlS3J3yURaD8ltW6MPoRJUB4NYgp0Ibyc1VoUsfe+PIw06GUDNj76uBQ777xsJIa4CrgLIzt63Rn6KonD1qqsx68zc6LyUL155no6WFg7POYOw24/t/LEItbw+Lw0t7uZqXr/pfo5OPZnOsIek00Yw/dSr4h2WJPWJLsOM7mexsYAX/OU+DOZEol4vxqIi9GPyuXVsfKaUyN8MAyDLmEKNHcJNzRQla6kMBABo62FrcmreaLo62ulwNffqGEIlMIyx4i9tRYkcGFe1d25FDta0Y7tgnExsfyS2uhElGo0QjUSIhMNEwiE5LupHjAW2H4aTL9xE1H9gbFH2l7aCWqAfaen1fRu7m0nZemgm1drgJclhoMLlZZLSDkCZQ02mSda+DwM9naHs9maiKMpjiqJMVRRlqtO5b+/HApjibWdV9Sqq8GHLPIZNH66kubGaro0uOdpLGnK+XLmQV3/xL8YlT8SgNmG7YByTTz0j3mFJ0n5hTExCCIHabCbp1FPjOn7zwFiqiLNsSy5ljgqmA1M0HbzlgUlCRWtDzx2TIXYSmeTs3QqsocCG79smgjXt6HN7f+I6lESDEVoWFxOsbsd2QQEJEw6MroIBn4/25kY8zU20NzfR3txIh6sZv7cDf6eXgK+TgNdLwOdDUXY/8RMqFXpjArqEhO8/JliSSXI4SbQ7SbQ7SHQ4SU5Lx2ge/ltJjePs2C8cR8uzJbgWbsJx+XhU+uH9tugvbUWfZ0GlU//0jf9LY2VZj82kILZya01NoKypg+l4ACh2qjhTNpMaDmqBH1/RyATq+vOACjC9WfCaKsxj3y7gqK7LSEiuZtkHD3P+eX/C/2kLLc+WYL9oHEIjr9NLg1ckGuGFP19OZ2kBdpOKLNNYjMemYZ8q3xslqT8M77O4QSLLPo5l9o+ACGMj7TzeqcNss9LauPvKrSM7F6FS0VRdSf5hR/bqOIYxVlDFRgIN5+RWCUVpeWozgSoPtjljSZg4/FZsFUWhtb6O5uqq7j+VNFdvo6Nl1xV9jVZHosOJMcmC2WbDnpmF3mRGn2BCpVbHrpwJEN0D4MPBAAGfj2CXL/bR56WlZjtV674h3L2jYCez1YYjOxd7Vg7O7FxS8kbhyMxGqIbXiaSxyI7tggLcz5XgWlSM47LxqPS9T/yGgrAnQLjRh+ng1F7fV4lGaaqqpOjYE3b7WTSq0NbYReY4G+Xr65kfcINa0GgRZDmK9kfoUnx9DeQLIfKAHcD5wIX9fdDH1JdxbctVPOf/jpwKJ5XZJ6JWP8eKDx7l7Fm/pWNZNS1Pb8Z+cWGv5zVL0kCobypj1Y034VWfhEqsZYp9LppsE7aTZGIrSf1FJrcDINuSR2Ny9+f+VsCBOrnnjslanR5beiZN2yp7fRyVQYMuJwl/aSuWU/L2MerBSQlHcT29mUBFG9Zzx5AwTOqLo5EITVUV1G4pprakmB1bN+PviG3tFCoVtvRMMgoKcWTlkJw2giRnChZnKsYky37Z+qEoCn5vJx2uZtpdzbTW1eKqqca1vZqazW8TCcWaLukTTIwYU0DGmHGkjy1kRP4YtPreddwdjBImOEApwP3cFlyLi3FcVtSnlc3BLrAPI4BaG+oJBfyk5o3a7Wedbj+RcBQStXSFIqS1NxO2alFUUbIsufsathRniqKEhRDXA+8CamChoijF/XlMIQS3zTmGxx44h0T7m5ja3sOccQShpNNo2fECX2x8laN/dh5tr5XjeqoYx9xChHb4vWaloevjlQtw/fNL2lPOJOhbzonZc9ElGHFcWIRQxW/LpiQNdzK5HQDZSdl0GQRRg8DmaQaRj98gCG/3oUSV3d7kUnJHUlvSt/MGQ76V9pXVRDqDqM26/RH+oKGEo7Q8U0KgtBXrz/L7tPo0mHS6W6j87msqv/2a7Zs2EPJ3AZCcOoJRUw4lo6CQlNyR2DOz0ej6999SCIHRnIjRnEhK7kh+3CsmGonQ1lhPQ3kpO7Zupm5rCZ+/+AwAaq2WzHHjGXnQVPIOmop1xNCtr0yY6ISogvuFrbQsKcZxadGwO1n2l7aiStKhSU3o9X2bq6sAcObsfuFs54W6Nk1sK3xSSz0dlggg5BigYUJRlOXA8oE8pjNRz6Hn3MyE19/n2WNDzP9gMd9MuZn0sSdQ/PEqMgvHk3fOeFpfKcO1uBj7vOF5UUoaWgKRAC/8dQ6WNWPYkXYCoc7XmJo1E6vagfWcMWiS9fEOUZKGNZncDoCdJ3e+pAjmxjpM2WpcIkpiKEqH20+Sw7jL7Z25Iyn57CO6OtoxJvauNfzO5DZQ3kbC5OGxqgmgRKK0PLcF/xY3ybNGYTp06I37URSF5uoqytZ8QeW3a2iqqgAgyZlC4bTjyCwcT2ZBEWabPc6R7kqlVmNLz8SWnknh9OMB8Hd2UldWwvaN66n6bi0fLnmcD5c8TnLaCEZOOZSxRxzNiPyCuDYU6IuEySkoUYXWl0pxPbUZx9yiYbPdUYko+MvbMBba+/Tv0lxdiUqtxp65exfctu4Si9pwGBQFdUMdrrFBDBhxGodf2YA0cE4cn85D624js+UW6ixVZLi+YgeHkjpyB+8/+S8uuusBrLPHxF6zi2IXpYZrWYE0+FXs2MDqmy9HH7qA6jQbIe9rjMyczChNEQlTUw+Y/iCSFE8yuR0AFr2FJJUet8WPtXobow9JZFsgyASgtdG3W3KbkjMSiK2UZI+f1KtjaTPMqBI0+Etbh01yq0QU3M9vxV/cguWMkZgPT493SL3S1lDPls8/puTzj3HvqEEIFeljC5h24aWMnHII9szsIZcEGsxmRh50CCMPOoRj516Bp6mBqu++ofK7r1m/ajnfLn+DRIeTsUdMo+DI6aTkjRoyz9E0JRWiCq0vl9HyzGbslxQOi4Y1wdoOlK4whrF9G83TXF2FLT2zx10ErQ1e9CYNJW0+RmuDKH4/O5IVMvXJQ+bfXRq8Lp99Nq/e/xIvHr+R3z37Ei3HTEHoTkZnXMRbD/6di+56ANt5Y3G/uBXXok2xsoJh3hhOGlwUReHt5Xejvu8tIhm/oDEhQsj3OinpuRxmm4lKryH5jN1LOiRJ2v/ku/8AyU5Ipd7aTnZFI6NtetaWe5iAoK3BR07Rrit1ztzYtr+mbZW9Tm6FSqAfnYy/rK3Xs3IHIyWq0PpyKV0bXVhOzSPxqKGx7TXg87L50w/Z/MkHNJSXApA5bjxTZp5B/mFHkZA0vBp+WVLSmHzyaUw++TQCPh8Va79ky+pP+Hb5G6x961WsI9IZf9xJFB0zA1Py4J97apqahhJRaHutHPcLW7FdUDDka6T8pa0gwDA6uU/3b9pWSVbRxB5/trNTcnlzJ1N0sVXcSpuKTNPQuhAlDU4mvYbxs+/F9+YMPikSTNj4FJsKr2DskZew/p0FvP/Eo5xy3U3YVAL381txPbkJx/zxqAzyFEfqf+3BdpbeeR7jVqnZMu4W/LiIdC3Dnp7OSePnEyrvwDFP7iiQpIEi3/kHSJYll0prJYdFFYpUPl7p9KNPSOxxHFBCkgWz1UZzH5pKQWxrctcGF+FGH9o0076GHjeKotD2ZgW+75pIOjGHxOmZ8Q7pf1IUhYbyUta/t4Ktqz8lHAzgzMlj+sXzGXvENJIcB8b2TH1CAoXTj6dw+vF0dbRTtuYLNn/yAZ8uXcznLzzNqIMPY8KMk8mZOBmVavD+sjcfNgIlGMGzrIpWXRnWc/KHdIIbKG1Fl5WIKkHb6/v62j10ult6rLeF2A6U7EIbZRUuZqk6ACixq5mWLDuCSvvHQfk51KRez0tH/IsjFn5HqrKDim+ymDJzNt8uf5HMoglMOO4khErQsnQLzU9sxDl/fJ/+v0vS3lpX9RnrfvNz8psOoXjC+fiiNah9y7CmpXLmmTfjW1GHZWYuuszhP1pPkgYLmdwOkGzbWD61fwREGRlqA6FGb9P32DEZYnW3Td0NXHpLnx9bmfGXtQ7p5Lb93Wq8X9Zjnp5B4vGDtylNKBig5NMPWffuMpqrq9DqDYybdiyTTphJ6sgD++TemJjExBknM3HGybTsqGHjByvZ/PH7lK1ZTZIzhYNOPp0JM05GnzA4/58mTssk6o/Q8f52VHo1ljNGDsndEBFviGBtB4nH714vuzd2NpPaWTLxY8GuMD5PEJVFhy8YIUvEOjLXWlVkOcb1PWhJ+i8zz/8Frf98gVePaufc1Y/SMu1OvB0TyB6/lQ8W/of0/ALs47OxXxybXd385Cacl8sEV9r/ItEIz79+O84HXsdqmcWWghm4VdtJ9C7HkpLCOdfdQcfiCvSjLJinDe4L85I03Az9QrIhItuSS70tdlKc5m0BIGzW9DjrFmIdk907aggHg70+libZgMZpxF/W1veA46z9oxo6PqrBdGgalpl5gzKh8LV7WP3SUh6/bj6rHlsAwAlXXMvV/36Kk676xQGf2P43e0YWx15yOVf9awmn3/BbkpwpfPzMQv7z80v5cPFjeJoa4h1ij5JOyMZ8dAadq+toX1Ud73D6JFDeBgp9r7ft3kWys2Tix3a+h3V05w/OjhaiiRpCGkFWUk7fApakHmg1aqbPfIimoiAeo4eRro+p3tRK0fGXodXrWfbPewgHgxgL7dgvKSTU4KV5UTFRfzjeoUvDSKO3kYf+cAJj/7ScpsxrqM2aQZO5jqSOt7CkpDD793fStbweoVVhmzN2SO/4kaShKG7JrRBCLYT4TgjxdvfXeUKIr4QQZUKIF4QQw2qOTYY5gzYzKGpIcjeiEtCuga72IH5vaLfbO3NGEo1EaKnd3qfjGfKtBCo9KKHovoY+4Dq/rKP9nW0YJzlJnjV60CW2rfU7eO+JR3j82sv44uWljBg9hjm338Uldz/EpBNPRZ/Q+zErBxKNVsvYI47mvDv+zsV/+wejDzmcdSuX8eQvr+LNB+6isbI83iHuQgiB5bQ8TIek0fFBDR2f1MY7pF7zl7YijJo+b41rrq7CbLX1WCve1l1a0UgEAJO7EX9S7H1HjgGS9re8wkM4VTeFp2YI0te/jCUhzNrlTZxw1a9o3r6NT5YuAsBYYMN+0ThCOzpxLSomGojEOXJpOPhky3KWXTqD6csjrD/417QmF+JJb8bW+CqWlFTm3H4X4TXthHZ0Yj0nH7VFjv2RpIEWz5XbXwElP/r6buBBRVHygVbg8rhE1U8yzBkoQhBIUojsqCXTmkC9Erua3NbD6m3KzqZS1X2ru9WPsUI4SqDa0/eg48D7XRNtb1RgGGfDNmfMoLri6a6rZfmC+1l048/Z9NF7jJt2LJfe/y/O/s0dZBVNHHRJ+FCQOnI0p15/M1cseJJDzjqH7ZvW88ytN/Da3X+ivmxrvMP7nhCC5LNHY5zowLO8is6v6uMd0l5TFIVAeSuG0cl9fj01VVf9z3pboRJUBwIkGTQodTtoSwyhRjDCPGJfQpekHp12/gKSR4TYmhll5MYldLT4aW1wctDMM/huxVtUfvs1AMZCO7YLCgjWtONavIloUCa4Ut8EI0Eeef6XBC6/mfza0aw59De06lPQTPRiKnsBS0oas/9wJ2oXdH5ci+mwNIxFcuyPJMVDXJJbIUQmcBrwRPfXAjgeeLn7JkuAWfGIrb84jU40CDqSIoS2b2ek00RFVwCAtqbdk9vk1BFo9Qaat/Wx7jYvCVQQqBg6yW1XsYvWl7aiz7Ngv3AcQj04ds237Khh+cP3sfimaylbs5qDT5/FlQsWctLVv8SeKVem9odEm4NpF8zjygULOfr8udSVbWXp72/m5Tv/wI4tm+MdHhDrRG47byyGAhttr5fjW9cU75D2SrjFT8QTRD+qb12Sw6EQ7h01OHN3r7cFaGvwYXEaqXL7yLfqCTc20mBRSNMmolXJWkdp/9MlObkw53yeO1aFteZbspM9fLuymoknnIczJ493Hn2QzlY3AAkTHNjmjCW4rZ2WpzajhGSCK/VOZVsl9992HEf9dRWhpGNYP+l6mjV6cuRssbQAACAASURBVI5TCK5ejCUljTm334VBa8b9YikapxHLaT2/X0qS1P/ilT38A7gF2Lln1g60KYqyszCmFtjjzBchxFVCiLVCiLXNzc39G+l+olapSdVZaE6GYE0NI+0mitu9CAGe5q7dbi9UKpw5eTT1sWOySh/bghioGBp1t/6yVlqWbkGXkYh9XiFCG//E1tPUwPIF97Pk5uso+/qLWFL78JMcc/H8ITHOZijSJ5g47Ow5XLngSaZfdBnN1VU8f8ctvPK3O/r8WtifhFqF/aIC9HkW3C9upWtzS7xD+kk73wP0fRwB1FK7nWgkQsoektvWRh/JqQlUNXuZoPGBorDdqiIrIbXPMUvST5k68/cUJQu+GgsZ7z+IRi344tVtnPrLXxMKBFjxyAMo0dgpRsLkFKznjiFQ0Ybr6RKU8NAr15EGnqIovLFuKR9efgZnvtFO2YSLqMqZQ61RMH2Wnro3/0XyiHTm3PE3jEkWWl8pI+oNYTu/AJVu8E4CkKThbsAzCCHE6UCToijf/PjbPdxU2dNjKIrymKIoUxVFmep0Dp3xKummNGqtKpQuP2MNIXzhKMZkPZ6m3ZNbAGdOHs3VVSjKHv8q/if9qGSCtR2DvplGsKaDlqc3o3UacVxWhEof3ybevnYPHy5+jIU3XEPZV6t3SWoTLH1LEKTe0RmMHHLmOVzx8BNMv3g+DWVbefq3v2L5w/fFvfGU0KqxzytEm26mZekWAtsG9+6IQHkbaosOjd3Qp/t/30yqh23JSlTB09yF2WGgzuMnP9IOQJlNRYast5X6k0bHNUfexmvTBbrOZsboytm+2Y2nycBx865k+8Z1rH37te9vbjo4FevP8gmUttLyrExwpf+tI9jB35+ej/navzClzMg3026myXIkFU415802sX7JgySPSGf2H+4kIcmCd00D/s0tWE7JRZdhjnf4knRAi8fy2FHAmUKIbcDzxLYj/wNIFkLszGoygbo4xNavRiTlUmGL/ZXnBWMnxKpETY8rtwCO7FyCXT46Wlx9Op5+VDJEIbCtvW8BD4BQsw/Xok2ozDocl0+I68iGUMDPV6+9yJO/vJLv3nmbwunHM/+f/5FJbRxp9QYOOeNnXP7wExx65jmUrfmChTdcwweL/oOvPX5JpUqvwXHZeDRWPa7FxYR6mFc9GChRhUBlG/pRyX2uCW/evg2NTk9y2u71s15PkEgoStAQe1/L8se2gpba1aQlj+p74JK0F9Imn88Mi5X3Jwtsy/6JLUXHZy+VUXD0CeQfdiSfPf/0Ljs+TIekkTxrFP4SN+7ntqBEZIIr7W5D03oeuG0Gp979JXpVBl8d/UfcqixqCxK4ZlYCHz96N9YfJbahRi+etyvR5ydjPmqPmw4lSRogA57cKopyq6IomYqi5ALnAx8oinIR8CFwbvfN5gFvDHRs/S3DkkupPfZXPsIbS1j9BhXte0puM2MzKfvaMVmfkwgaERsDMghFPAFcT24ClcA5fzzqxPg0yFYUhZLPPmLhDVfz2fNPkVk4nnn3LeDka35Jok02hBgMDCYz0y68lMv/+Rjjjz2BdSuXsfCGq/h2+RtEwvHZmaA2aXHMH49Kp6b5yU2E3f64xPG/hBp9RL3hPtfbArhqqrFnZqFS7b7Nrt0V6xfgUcd2l9jbXaBV4TFBenJun48pSXtFCK6c+RAfHq4QUYXJbVpFZ2uAb9+p5sQrr8eYmMiKBfcTDv0wkcB8eDqW00fSVdyC+6VSlGjfdkZJw09UibL4y0f4+uoLmPNWB+4xB/HdhN/SqhiIHpfCldM1LH/wLmzpmcy+/S4SkixEgxFalm5B6NTYZsuxP5I0GMS/sPEHvwFuEkKUE6vBfTLO8ex3I8zpNCXH3vgMzfWY9RpahYLfG+pxHJA9K5bcumr6NltTaNXos5MGZd1t1BeieeEmol3h2AqYwxiXOBqrKnjhj79h+cP3YUq2ct4df+fsW27H3n1hQRpczDY7J151PfPuXUDaqDF8uORxnvr19Wxb981P37kfaKwGHPPHo4SiuBZuItLZ+7nU/en7ett9SG5barfv8fWwc9dJYzR2gcHU0kjEogIhGGGSnZKl/mfMOJg5qeN46zBB8kcvMjJfz7r3aggFtZx0zS9x1VSz+sVndrlP4tEZJJ2cS9e6Ztrequhz6Y80fDT7mvn9E3PIvnEBh21R2H7seWxOvYJGNeRfPJqzxwR484E7sWVkMfsPd2JMTAKg7c0Kwk0+bOeNRZ00rCZYStKQFdfkVlGUjxRFOb3780pFUQ5VFGW0oiizFUUJxDO2/pBhziCkEUTNglBNLSOdJurCsaS23bX76q0xMQlTspWWmr6t3ELspDZU7yXSQ/IcL0ooguupzYRdXdgvKYxLfYqv3cOqxxfwzK034K7bwYlX/YIL77yfzMLxAx6L1Hv2zGzO+d2fmXXLH4hGIrzytzt47e4/0dow8NUM2jQTjksLYzsRFhcTDQyeGvdARRsahxFNct9mLfo7O/G2uvec3DZ1IVSCKl+A1CQ90bod+BJj3WhlcisNlNmnPMiaqQodRkj6YiEI+PK1CkYedAgTZ5zC12+9Su2W4l3uk3hsJuZpGXi/qKfj/b7/jpWGvk9rPuGh35/Mef8oxhrWsPmM2ylnOmUJUc66cTJTEpp5476/Ys/I3iWx9X7XhG9tI4nHZmEYI5tMStJgMZhWboe9nTMf/YlhgjU1jHKaKffFtjLuqe7WnpXT55Vb+KFDaqBycKzeKhGFlqVbCFa3x8aq9LGDa5+PH42y4f13WHTD1Wz6cBVTZp7J/H/8h4kzTu5x26U0eAkhGHXwYcy7/1GmX3QZtSWbWPJ/1/HFK8/tsg1xIOhzLdguGkeorpOWQdKNVYkoBCo96EdZ+vwYrtrYe48jK6fHn3tcXSTa9FS5feTZEwjV1NBmDiGAVNktWRog2uQc5qZN5cWjVdg2rWbMqChla5toqPRwzCXzsThTeOfRBwn6f/g9K4TAcmoeCQen0v7edjq/GHZtPqSfEIwEeeCjv1D2i2u4cHkXSo6dr4+5n8b2FIpTVPzfH47E7qnizfvuxJ6Vw7l/+CtGcyIAoSYfba+VoctNIumEnt8fJUmKD5ncDqC0hDRUCDyJUUJ1tYx0mCjbmdzuoWOyIyuHlh3bvx9p0Fu6TDNCpx4UdbeKotD6Whn+EjfJZ44iYeLAdrp21VTz/B9/y6rHFuDMyWPuPQ9z3LwrMZhkZ8OhTKPVcsiZ53DZA/9m1NTDWf3iszx1yy/YvmnDgMZhLLBhPWcMgfI23C9ujXstX6iuEyUQ2bctyTX/O7ltb+6Kzbh1eSkwRon6fDQmKzg1ZrRqOeNWGjizTryfzROitCQJNG8/RIIl1lxKqzdyyrU34mlq5OOnd612EkJg/Vk+hnE22t6sGDKzq6V9V91ezS3/PouDfruUw7ZGiZxwJJ+M+jOdnWqqCxO497ajCVRu5M3778SRncvs39/5fWKrhCK4l5YgNCpsFxQg1LLOVpIGE5ncDiCtWotTZ8GVKAg3uRhpNxISoDNr8TT7eryPPTObcCCAp7lvv3SFWoU+L4lAVfzHlbSvrI5t4Tk+C/MR6QN23FAwwKfPLeHp3/wSd10tp1x7I7Nvv0vW1Q4zZpudM274DT+79U9EI2Fe+svvWLHgfnyegbuwYzo4FcvMPLo2uOJey7dzt4Z+5D6s3NZsR2swkujo+UKUp7kLg1WP2xtkbDTWlX27VcUIo2zEJg0srTmFK9KP5vlpAmftVrLTO2isaqfsm0Yyx41n6ulns+G9d6j6bu0u9xNqgf3CAnS5FtwvluLf6o7TM5AGypvlb/DY78/g8ke24QxF8c6/kQ8jF+GJRBEnpnLP9YdT++2XvHn/XThz8jj3tr9iMP9wEbztrUpCDT6s541FY+lbyYckSf1HJrcDLMM8gh0WAdEoeSK2Wiv+1zig7hWTfdmarMuzEG7qimuzm47Pd9DxYQ2mQ9NIOnHgtvDUFG9gyf9dx5rXX2LctOO47IF/UXTMjD6PRZEGv7zJBzPvvkc47Ozz2LL6UxbdfC0ln300YIlm4jGZmKd31/J9UDMgx+xJoKodjdOI2tz3JiexZlJZPb5e/N4QAV/4hzFAgVgyXW5TkS5n3EpxcMaMe6gsUGi2gnjpfhxZZr54tYJwMMJRcy7GkZXDu/95CH9n5y73E1o1jnmFaNMSaHm2hOCOzj0cQRrKvCEvd6y4idabbuXilSH02Vq2zX2UryvyqdVEmXjpWG48ZzxbPv+IZf+8hxH5Yzn393fuktj61jfhXdOA+ZhMjGNtcXw2kiTtiUxuB9iIpFyqrbHazlR/bDU1YFDtueZ25zigfam7zYut3ATjNO/Wt74Jz1uVGIrsJM8aPSCJZcjv5/2F/+bFP/8OIQRzbr+LU35+AwlJfV/FkoYOrU7P0edfwtx7HsKaOoLlD9/H6/f+hQ5332ZG95bllDwSpqTQvqqazq/qB+SYP6ZEFQLbPN+/9vvqf3VK3tkEr717DJDT1wrAVquatOS8fTquJPWF1mjlyuwTWDpNxQjXDvTaajpbA6x7rwaNTscp196Iz9PGJ0sX7XZflUGD49IiVEYtriXFhD3DrqflAa3YVczNC05jxh9XMLU8iuWUsXx+9L+pLhFsTlS48NcHc9ahWWx4/x1WPPIAWUXjOefWP6NPSPj+MUKuLlpfKUeXk4TlJFlnK0mDlUxuB1h6YiblybHkVuNqxG7S4VEr+DxBQoHIbrfXJySQ6HDu28pthhk0qrhsTfaXteJ+sRRdXhL28wsGZAZczeaNLLnletatXMaUU89i7j0Pk1U0sd+PKw0+9sxszv/LPRxzyeVs37COJTdfx8YPV/b7Kq5QCazn5GMosNH2ejldmwYmqd4p1OBF8UfQ7UNy62v34PO0fT9v+7/tvCDXEI2gEmBub0EY1HQY5MrtUCSEuFcIsUUIsUEI8ZoQIvlHP7tVCFEuhNgqhDg5nnH+lNOPvYvtY6DRDuaXHyFrgo1v3q3G6wmQOnI0B582i43vv0vN5o273VedpMdxWRFKIELLomKi/sHT+Vzqm6gSZfHGRSy94zyuf7wReySK9ddX85rmJjpqu9iUoeb2PxzFpGwr3654k1WPLSBv8sHM+s0daA2G7x9HCUVxP1sCaoHtgrEItTx9lqTBSr46B1i6OZ2m7vPNcH09WbYEGqOxpLancUAAjsxsWmr7PqpAaFTosxMJDPDKbbC2g5anN6N1JuCYW4TQ9u9/t5DfzweL/8OLf7oVgeC8O/7GcfOuRKs3/PSdpWFLpVIz9fSzmXvfApy5eaz890O8+rc76HS39OtxhVqF7cICdFmJtDy/hcC2gbu4FOy+kKXPS+rzY/xUM6mdyW2lP0CWLYFoUxMRc+zilRwDNCStAsYrijIRKAVuBRBCFALnA0XAKcCjQohB21peqzdzZe5pLJ2mIqO9Ebd7PdFwlDVvVQFw5OwLsaSksuqxBYSDu5fqaNNM2C8eR6jJR8vSLSiR+Hc+l/rG1eXipjeuQHPrvVz8fgRTrhr1n5/k5bWT8HpD7JicxIO/PZrUJANr3niZDxc/xuhDjuCs/7sNrW7XWtq2ZZWE6r3YZo9BkyzPKSRpMJPJ7QBLN6fTpRcoegjV1ZNtS6AqENv+tKeOyfasHNw7aohGdl/Z3Vu6PAuhus4BuxIddvtxLS5GlaDFMX88KqOmX49XW7KJp275Bd+teIuDTjmDufc8TOY4ObNW+oE1LZ05f7iLGfN/Tm1JMUt+fT2lX37Wr8dU6dTY5xWhSTbQ8tRmQntoHLe/Bba1o07W79NJmKv7gpr9f3RKNibpqHT7yHOYCNfXEzDF3l92jj2Thg5FUVYqirLzF8SXQGb352cBzyuKElAUpQooBw6NR4x764xj/syOfEGTDVLeXkLOISmUrK6nrdGHVm/ghCuvp7V+B1+99kKP9zfkW7GePZpAaSttb8S3MZzUN6t3rOaWh0/n3Du/4KDKKCmnjaT6shd4780gzUQxnZbB36+eil6jYvVLz/Lp0sUUHHUMp9/wG9SaXTu9+75rwvtlPeajMzAW2uP0jCRJ2lsyuR1g6aZYl+CgKUKoPpbclntj44Da9nDi68jKIRIO09bY99o9fV4SKBCo7v/V26gvhGvRJpSIgmP+eNRJfW9o81PCoRAfPfU4L/zpVhQlypzb7+L4y67eZTuRJO0kVComn3wal9z9T5JT03jrwb+z4pEHCPi8/XZMtUmL47IiUAlcCzcR6ejfxm6KohCo2g/1tjXb0RkTMNt6PpnzNHdhcRiobvGSazcRaqinPSE2X1iu3A5584EV3Z9nAD/ujFbb/b1BS6M1cMWoWbxwpIo8Tz0lFWtQa1V89WYlALkTD6Jw2nGseeNlXNu39fgYpkPSSDw2C++aBjo+rh3A6KV9EYqEeGDN/Sz/y5XctMiDnQhZt1/Oe5l/ofj9Rkr1EY64spDrTi8A4NOli/ni5ecoOvYEZl5/E2rNrhfig/VeWl+NzbO1zMyNwzOSJKm3ZHI7wHauaHSaFUI7asi2JeBDQZugob0/OyZnJ4FKfL9dsb8ooSiuJZsJu/045haiTUn46Tv1UUttDUtvu4lvlr3BpBNmMvfeBbK2VtortvRMzv/zvRx+zgWUfPYRT93yC2o3b+q342nsRhzzioh2hnAtLibaQ339/hJ2dRHtDKHbhy3J0N1MKit7jw3g2l2xMUDeYIQss5qIu5WWREhU6UnUJe7TsaX+IYR4TwixqYc/Z/3oNrcBYeDZnd/q4aF6XMoUQlwlhFgrhFjb3Ny8/59AL5x+1O8pGydotcCoVc+RerCD8m+aaN7eAcAxc69Al2Bi5WMP73GOfNJJORgnOmh/dxtdckTQoFfTXsM1L11A2h+f5KKPoiSNUpP6r6d4fsORNG1t5RsrXH3LoZw6OR0lGuWDRf/h6zdfYdJJp3Hy1b9Epdp1t320K4z7mc0Igwb7ReNkna0kDRHylTrA9Go9Dm0i7iQI1zeQbY8lf1qLbo8dk20Zsd1hLTV9r7tV6dToMs0Eqvpv5VaJKrhf3Eqwuh3beWP3eeVoj8dRFNavWsEzt95Ap7uFWbfczglXXIvOYOyX40nDk1qj4ag5F3H+n+5BpVbzwp9v5eNnFhIOhfrleLqsRGwXjSNU14l7aQlKpH+2Oga7X+P78vpTFAVX7fY9NpMKhyJ0tgWImmKrHLnR2Mp3vUWQJmfcDlqKopygKMr4Hv68ASCEmAecDlyk/LAXtxb4cYewTKBuD4//mKIoUxVFmep09jwbeaBotQYuzj6BF49UMbathq+Kv0Bv0vDl6xUAJCRZOG7uFdSXbWXdquU9PoZQCaznjkGbZsL93FbCe+iLIcXf25Vv8/sFs7j8vmImV0dJO2sU0T8vZ+mSLtpb/WwYqeOe246iKMNCNBph1eMLWPfu2xx8+tnMmH8NQrXr6fDO85lwawD7RQWoE/tvB5okSfuXTG7jID0hlQaLINLRSVb37tmQUbXHhlJavYFEh5PWhh7PJ/aaLs9CsLYDJdQ/q0ae5VV0bXRhOTWPhIn9c2LT1dHOm/ffyXtPPEJGQSFz713AqIMHdfmXNMiljyngkrsfYuLxJ7P2rVdZettNtNT2z3xaY4GN5Fmj8W9tpe318n6p5QtUeVCZtWgcfb/Y09Xuwd/Rjj1zD/W2Lj8o4NPGFvXSArEdIdUWFenm9D4fV4ofIcQpwG+AMxVF+XGNzJvA+UIIvRAiD8gH1sQjxt46d9qf+KZI0GGGiZ+/TtJBdrZvdlNXHpvJPG7aceRMPIhPly7Z45gwlU6N/ZJChApcT2/u110XUu/5Qj5+/8nvWPu333DL0z7sqgh5f57PlukP8fZj5TRHIriOsLLgpiNxmPVEwmFWLHiAjR+s5PBzzueYi+f3uDul4+Ma/CVukk/LQ58rRwhK0lAik9s4SDVnUGuJ/dVbva3o1Co61dDZGkCJ9nyyax2RQWvdvtX96PMsEFEIdG/L2p86PttB52c7MB+Zjnla/5Rjbd+0nqd+fT2V367lmEsu55xb/4TZKoeoS/tOZzBy4lXXM+uW2+lsdfPM726g+OP3++VY5sNGkHh8Ft6vG+j4YP8n0YFtHvQ5Sfs0T9pdvwMAW3rPr+WdJRStqth2Tps3NuO2IllFWlJun48rxdUCIBFYJYRYJ4T4N4CiKMXAi8Bm4B3gOkVRhkSGZzJYmJ1+OK8fIpjsqmBl8XcYE7V8/Xasc7IQghOuuI5oJMwnz+w++3Ynjc2A7YICwk0+Wl8plQ2mBonNLZu5fOnZTLzrdc77NIolX03u08+wouEkvn1rG6W6CDlz8vjbJQeh16gJBQO8ef+dbPn8Y6ZdeClHzbm4x/dJf2kr7SurMU52YjpSXqyTpKFGJrdx4DCns80a+6uPNjT8P3vnHR5Vmbfh+0wvmZlMpqR3CCH0Ih1FBMSKICj2trrqFt1PV3RVFHt37W2ta0EsiIqgCEjvHUKABNLrTMpMMjOZdr4/JqCsCS2BAJ77umJwMud93wOZc87z/spDkllLbThEOCTiaaPZTExCInUV5e26qapTInVw/g4Wt55tDhrm7kXTw4Lpwox2PVS3RigYZNmnH/DFYw+g1Oq48vHnGXjhxN+lEUlItJfMAYO49umXic/MYv7rLzLvtRfw+zo+FdE4NhVdfzuuBUU0ra/qsHFDbj+humZUae2rt61rEbfm+NbFbUNLlkl5MIBRo0BZG6mvLIqWk2BMavUYiZMbURS7iKKYLIpi35avW3/zs8dFUcwURbGbKIrzDjXOycaVIx9laV8BvwoGrJ2LooeJ0ry6A9Hb6Ng4zrhoEnkrllC6s+26e01XM6bxaXi3OmhcWnaili/RCqIo8tGOj3ji1anc+XIxPUvCxE/sguGNxXz8cZDybU7WGkJc/ve+3DgqE0EQaPY08dXj09m7aT1jb/4rgyZMbnXsYK2P2pl5KOw6zJO6dvjzjISExPFHUgedgF1vp7glchuojHjdlgUiotbt9LV6jDk+kWZPE17XsTeEkumUKGxa/MUdV3fbXNhA7ed5qJINWKZ2Q5B17I3A5ajh8xn3snbOl/QaPY5rnvw3semZHTqHhMRviYqxMPnBxxg6+Qpyly3mk/v+QU3Rvg6dQxAEzJO6ou4STd3Xe/DtruuQcf0t3dBVKe0Vt+XI5AqMNnurP2+s9SFXyihu8pEcoyNQUQlaGX6lIHVKljipsBriGW3vzs994czyLczevQtN1K/RW4BBl0zBYLGx6P23CIfbDkpHnZmEtpeVhvn78O3pmM+sxNHh9Dr564LbKXrhKf71WYAYRYjMJ/6E+9oP+PjpHdQ7vKxNVvDYfcMZ3iVSHuVpqGfWjH9RsWcXF/z9n/QeM77VscPNIZwf7UAMg+WaHGSqk9bOWUJC4hBI4rYTsGlt1BkAAYItdkD7WuyA3LVti1v4NV3wWFGlGPEXuzokrSpQ48H5US6KaA2W63ogKDv2RlC4eQP/vfcOHMVFXHDHPYy75W+SxY/ECUEmkzNsylVMeeAxmj1NfHr/XWz9eX6HpiMKChmWq7ujtOtwfrwTf3lju8dsLnGDXECVGNWuceoryjHFxiGTt/6Zdtc2E2VWU1LnJdmsI1BZQaBlSkncSpxsXDXkPr49Qw6CyKDNCyDbSGleHRUt0VulWsNZ19xETdE+ti6Y3+Y4ghBpMKWw66j9LI9gQ/OJOgUJYFX5Km76ZCLnPLeEyStEorPlZHz2CVu1U5jz0hYcwSClA4289c8RJMdEmnW6HNXMfGgateWlXHLPg2QPO7PVsfc3kApUebBcmY2yHT0LJCQkOhdJ3HYCNp2NsEwgrINAeQWpFh3lwSAAjbWt3yz3i9u6dotbA+GmIKE2IsRHSsjtx/H+DhAErDf0QK5XHv6gIyQcDrFi1id89dTDREWbufrJF9u8IUlIHE9Sevbh2mdeIbF7Dxa88ypzX36WZk/rftTHgkyjwHpDD2RaBY73dxCsa9/n0l/kQpUQhaBo36W9rqIMc3zbtWaNdT4MZg2ldV6SzFqCFZV49ZFrWJw+rl1zS0h0NN3iB5BhtbIhG84vXsMXJSVoopSsn1d44D1ZQ4aT3KM3K7745JC+1zK1HMvV3RGDYWpn5h23rucSvxIIB/j3hn/z+ls3c/9rNXQvD5MwuSv2/67g+wVq1n5dQL4yhG1iKi/cOBBtS8S1tryUmdOn4WmoZ/L9j5Led0Cbc7gWFuPb4cR0fgaaLPOJOjUJCYnjgCRuOwGbNpIq49cHCZSXkxyjwy+AXC3D3cbDrdFmQ65QUFfe/sgttER4jpGwP4Tjwx2E3X6s1/dAYem4HU5PQz1fPfEQq7/6jB5nnsOVjz9PTIJUwyfReehM0Vx63wxGTL2W3auX8/F9d1BTXNhh48tNaqw39kAMhHC8v4OwN3hM44ihMIGyRlQp7fOYFcNh6irL26y3hUjzO4VBQXMw3JKWXIG7RdxaNJZ2zS8hcTy4uu/tzBoiRxX0k71jGWQZKN5Ri6M0kjEhCAJnXX0jPreLNd98ccixlDYd0Zd0wb/PhWvRsVv0SRyeUncpN3x/HZ5X3+Zfn4cwq4NkPHkLsn98zn+fz6V0k4N1USEm/KU3t4/9tUa2am8+M6ffQygY4LKHniQxO6fNOTzbHLgXFqMbEEvUCKmBlITEqY4kbjsBuy5Sx9ZkEAmUl5LSkj4j0ytpbCMtWSaTEx2X0O7IrTJWh6CWH6jNO1rEsEjtZ3kEyhqJuSIbVXL7HqR/S2neDv477e+U5+Uy7ta/M/72O1GqpTRkic5HkMkYPPEyLnvoSQLNzXz6wF3krVjSYeMrY/VYrskh6PDi/GQnYih81GMEKpoQA2FUqe2rt3U7HYQCAWLaELehUBhPQzMBdSQ6kqwRCbvd1BoEouValPKOy+KQkOgoSQm7XgAAIABJREFURnW7lECchtIEkSklK/mk2oFCJWPTT0UH3hOb0YWckWez8Yc5uBzVhxxP3z8WXX877kXF+Arqj/fy/5DM2zePWz6+lMte3sLEVSLROQoyPp9JTdb1fPToGuoqPaxKkPHQvcM4Ozv2wHElO7Yy65H7UGo0TJ3xNPa0jDbn8Jc3UjdrF6oUA+aJXaQGUhISpwGSuO0EjCojKkFBgwGCVdUkRUcEXEAta7PmFsAcn0BdRfu8bgWZgCrZcMxNpRrm7o14v12ciTanYyI0oiiy/ruvmTXjPhRqNVc89hy9zh7XIWP/EQiEwtQ2+SlyNrGzwsW20gY2Ftexdl8tK/MdLN/jYFWBk/WFtWwuqWd7WQP51W4qG3w0NQclW4ujICm7B1e3NDWb+/KzLP7wHULBY4u0/i+azGjMk7rSnF9P3eyj98Dd3wW9vZHb/deY6LjWIxhN9c2IIjTJI+tLDEYiX9VGAas6ul1zS0gcL+QyOVd0ncRXA+XENDgwF2xB3tXAnvXVuJy/dkQfPvUaAJbP/O9hx4ye0AWFRUvdrN2EfR1zHZCIeNdOXzGdme/ezaNvuehaGSThsiziPl3Bxjwr3/x7M05/kL19o3hz2gjSrfoDx+5atZyvnpiOwWJj6oxnDpmBEmr04/woF5lWgeXqnHaXc0hISJwcKDpjUkEQNMBSQN2yhi9FUXyoxSB+JhADbASuEUWxdW+cUxhBELBpYqg2uckIBNE2ubDoVTQKIpo2am4hUne7b9N6wuEQMtmxN29SJRtwLykh7A8dVTfAxlXlNK4oJ2p4AlFDOyZ1J+DzMf/Nl9i9ahldBw/j3FvvQK3TH/7APwAef5Aip4cip4eKBi/V7maqXc1Uu33UuJupbfLj9gXxBtpnOSmXCUSpFZi0SmwGNXaDmlijBlvL92SzllSLHrtBjayDu2GfikSZY5jy4BMs/fg9Nv4wh+p9BVx45zT00e2v09IPjCVY68W9qASFVYtxVPIRH9tc7EJmVCE3qdu1hgM2QAmtf8Yb6yLXqHoi0WWrt45qoMwkYG0puZCQOBmZ0O82Xsv9FJ8Ori5fw1tZ/ZiAwJafSxh5eRYARqudAedPYO2cLxlw/gRiM7q0OZ5MLSfm8m5Uv7GZ+jkFxFze7USdymlLXm0e9y68m2Hf7ePetWHU5iBJD/wFRv+Fb9/LpXSrkz3KEOnnJ/PAud0OuidtnPcdiz98m8Ru3bnkn9PRRLXdWE8MhHB+mEu4KYDtlt7IjaoTcXoSEhIngE4Rt0AzMFoUxUZBEJTAckEQ5gH/B7woiuLMFgP5m4A3OmmNxxWbLpYKYwkAgYqIHZCzNkRUU4BAcwil+vei0xyfSCgYxO2owWQ/9qYtqlQjhMFf4kaTeWSRFm9eLfXfFqDpHoPpgrZTfI6G+qpKvn3uMRwlxYy88nrOuPjSP1xKkCiK1DQ2s6vSfeBrn6OJoloPNe6DNzoUMuGA+EyO0dEnKRqjVoFBo8SgiXzXq+Qo5DIUcgGlLPJdJggEw2GCIZFgOEwgJNIcDOP2BXD7gge+13sC1Lib2V3lZnm+A/f/RCI0ShnJZh2pFj1ZsVF0izOQHWckw6ZHKf9j7XjLFQrOvv4W4rpk8dNbr/DxvXdw4T/uI7Fb93aPbRybStDpwzW/EEWMBl3vIxOM/mI36hRDuz9DdRVlKNRqosytZ2Y0tvQFqAwGsOhVyB0Rj9tik5yUKKlTssTJi1ljZpS1Bwv6bOXC1duoLy9F17UHuSvKOeOCdDRRkZT6QZdMYevP81n5xSdMnPbQIcdUJRswnJ2Ce2ExmpwYdL2kDZ5jQRRFPs37lA9/fpY7ZwdILw9j7qXC/sJMXKqufPX4OjwOL2v0Ia6+oRfje8YfdOzymR+x9psv6HLGEM7/+z9Rqtre5It0Rt6Nv9SN5aruHVpeJSEh0fl0irgVI/l2+30vlC1fIjAauLLl9Q+BhzldxW1UHMXREQEbqKwkOcZKRVUdqUQeHs1xv49emhNa7IDKy9onblsu5Ecqbv3ljdR+mocyXk/M1OwO8bIt3LqJuf9+GoBJ9z1MWp/+7R7zVKDa5WNzST2bS+rZUlrPzgo3tU2/JidYo1Rk2KIYlWUjzaonJUZHqkVHQrSWGJ3qhEZOvf4QlS4fxbUeip1NkShyrYdCRxO/7KomGI6kpSrlApm2KHommuibHE3f5Gi6xRn+EIK3+4hRWJNT+fb5J5g14z5GXfcn+o67oF0CUxAEYiZnUVPfTO2sXchNatSHqaMNNfoJ1fpQDWm/uIx0Sk5s8xz2d3Qv8vpJitERqNgNQH60jP6SuJU4ybl0wF+5p+Q2Llwd4orKdfyUmsYwf5jcleX0H5cKgFqnZ+BFk1g+8yPKd+eRkJV9yDGNo5Px7aqlfnY+6nQT8igpCng01PnqeHDFg3gWLebp78Now2ESru6L8Z732ZvbxLx31+ANhlmfKOOxPw+ii/1XMRoKBlnw9ivsWLKQ3mPGc85Ntx02s831YyHebQ5MF6Sj7Wk93qcnISFxgumsyC2CIMiBDUAX4DWgAKgXRXF/uKgUaLVYQhCEW4BbAFJSUo7/Yo8Ddp2dJUY5ECLkdBJvSmJ7sx9Q4a5tXdzG/MYO6FAt7Q+HXK9EYdUeUVOpkKsZ54c7kGnlWK/vgayViPLRsL++dtmnH2JJTmHCXfcTHXd6PhCLosie6kZW73WyZm8tm4rrKG+IRL0UMoHseANju8e2REANdIszYIlqX0ppR6JVyUm36lvqmQ6ORviDYQpqGtld5Sav0s3OCheL8qr5ckMpAGqFjJ6JJgammRmSYeGMtBii1J12uTmu2FLTuerJF5n36vMseu9NqgryGXPzX1Aoj72xkqCUYbk2h+rXN+P8KBf77X0O2ZXcX9Qx9bYAdZXl2NMy2/x5Y60PlVZBkctLz0QTgdwKZHoFHiVYtdKDosTJzaDE4eijo9iTUcfowrW8nD6WccmxbF9SRt8xKQc2EPuddxEb5n7Dyi8+YfL9jx5yTEEuI+ayblS9tJH6bwuwXNn+DI4/Cmsq1vDg4ns574caxq8Po7GESJxxN4rRN7PsmwK2/lRMpTxMwwAT/7mm30H3kYDPx3cvPsm+zRsYNuUqhlw69bAbi41rK3AvKUU/JJ6oEW3X40pISJy6dNrTpiiKIaCvIAjRwGygtbtBqx1VRFF8G3gbYODAgadkNxyb1kZFi34NOpzEJWlwiJEatra8brVGE2qdvt0dkwFUaUa8252IIRFB3vrNINwcwvHBDsLeELZbeyM3tk94BXw+fnzrZXatXErW4OGce/udqDSnl1F6oaOJpXtqDghaZ0tUNsGkYUBaDDcmmeiXEk2PBBMaZfs2CjoTlUJG93gj3eONTGh5TRRFSuu8bCqpZ0tJPZuK63hv+T7eWrIXuUygZ6KJIRkxjOhiZVB6DGrFqXv+/4tGH8Ul/3yQVV99xqovP6O2opQJd93frjpcuV6J9foeVL++BccHO7Df1geZrnXB7MuvQ1DKUCW2T9yGggEaqqvoNrRtX2l3XTNRZjXl9U7O6xlPsKISsaW0TRK3Eic7MkHGpVmTmd3vfaZ96WJ0/R62xFrJLPFRtM1Bep/IRp5Ko+WMCZNZ+vF7lO7cTlL3noccV2nXYRydgmtBEd6+zg5ruHi6EggHeGPzG3y35B3u+VYkqSJETD8t9hc/pdmQyawXNuLMb2CbKkjfSzJ45OzMg4Srx9XA7KdnUFWQz9hb/krvc8Yfdk7fnjrqv8lHnWUm+qLMP1wZlITEH4VOD6WIolgvCMIvwBAgWhAERUv0NgloX2vgkxibzkZILoBGJOh0EGfS0CiIINBmx2RBEDqkYzKApqsZz/oq/KXuVlMexbBI7cw8AhVNWK7rgSqh7cYMR0JDdSVznnucmuJCRlxxHYMmTD4tbiy+QIjVe538squGX3ZVU+j0ABExe1Y3G0MyLAzNsJBk1nbI+YqiSNAfxtcUoNkTwNcUpNkTINgcIhgIE/SHCQZCBP1hxJa0YfHAf0AmF5ArZSiUMuQKGXKlDJVGgVqrQK1XoNIqUOsUqHXKo06BFgSB5BgdyTE6Lu4TaUbk8QfZWFTPmn1OVu91HhC7WqWcYZkWRmXbGZVlI7nFDutURpDJGDblKqwpacx77QU+/tc/uOTuBw7ZkOZwKG06rNfkUPPuNpwf78R6Y8/fdfQURRHfzlrUXc0IyvalgjdUVyGGw5jj224Y11jnQ2lQEvCIJJm1BCor8euCgOKAh7eExMnMhJ7X8fqOD2jWwdX1W7m+OpsHjEa2/VJ6QNwC9B13Phu+n83KLz7lsulPHHZcw1lJeLbWUPdNPuoMEzJNpz9inZSUNZZxz9J7MPyymefnhVELYRJuGorhH29RU+7n64dX0+z2sypa5G9/6s+wLgdvmtVVljP7qYdxOxxcfPf9dBk4+LBz+iuacH68E6Vdj+XK7DY39SUkJE59Oqtbsg0ItAhbLTAGeBpYDEwm0jH5OmBOZ6zvRLD/ITCkCRGqribOpEEUQBHVttctgDkhidKd29s9v7pLNAjg213Xqrg9YPkzIRNtdky75irduZ1vn3+CcDjEpGkPkd5vYLvG62wavAEW5VUxf3slS3bX4AuEUStkDM20cP2wNEZ1s5Nq0R2TmPX7grgcXhpqvLgcPprqmw98NdY342nwEwoemQeqIBM4sIKWP4RDR5boIMgEtAYlepManUmF3qgiKkaD0arFaNFgtGnRGVWHPUedSsGIrlZGdI08nHj8wd9sBtSwMC/iJdkt1sC5PeMY3yOO7vHtb4rUmWQNHk50bDzfPPsoM6ffw7m33UH28LOOeTx1hgnz5CzqPt9F3ex8zJO7HvT3E6hoIlTfjPGc9pdoHOiUfAj7jMa6ZgyWSBZHcoyOYE0N3iQ/oJAitxKnBDadjWHmbJb12MGYjeuxJl+AM9GKb2cddZVNB8qClGoNAy+axJL/vkvFnl3Edz10N2RBISNmchbVr2+mYX4h5kuOfWPrdGV+4Xye+mUGV85rZOSWMNrYEImPP4xyxJXsWFHO4k/ycIthcjPVPH/zQBKiD87uKtu1k2+ejaSJT37gMRKzcw47Z7DWh+O9bcg0cizX95A2HSQkTnM66xMeD3zYUncrA2aJovi9IAi5wExBEB4DNgHvdtL6jjt2nR0Av1YkWF1JvCnidStq5bjrDiFu4xLYuWwxQb8fherYm1bI9UpUSQaa99TB2NSDftaRlj/bf/mZBW+/iskeyyX3TCcm4dSscalt8jN/eyXzd1SyMt9BMCwSa1Rz2cBkRmfbGZJhOeI0Y1EU8TT4qS1vwlneSG1FE3UVHhocXryug52vFCoZ+mg1UdFq4jNN6ExqtFFK1DoFGr0StT7yZ6VajkIpR6GSoVBForKtCURRFAmHREKBMMFAmFAwjN8bpNkbpNkTxO8J4PME8br9eBr8NDX4aapvprrQhdcdOHhtShlGm5aYeD3meH3Ldx3Rdh3yNvwCdSoFo7NjGZ0diyiK7HM0sXhXDQtyK3l10R5eXriHlBgd43vGcV7POPomR5+SQteelsHVT7zIty88wdyXn8VRUsTwy65GkB1bZFXfz07Q4cW9sBiFRYNx9K9C1rezFgTQtHMTCn71uG0rchvwh/A1BlC03DmSohT4XS5cusimiUUrpWJKnBqc3/MaXi64nzHrQtwW2M0bdSZulKvY9ksZZ07NOvC+3uecy+qvZ7J2zpdMuPv+w46rSjagHxJP0+oK9GfEoUpsX9bT6YIn4OGZdc+wdsWXPDJHxOYIYRlqwvbcLMKmZOZ/mEvBqkqKFSFUI+z8Z3LP35Wu7Fq1jHmvvYDBYmXSfTMwt+HF/VtCjX4c721HDIrYbu2FIvrk6WshISFxfOisbslbgX6tvL4XGHTiV3TisekikVuPDoyOGpKi1MgE8KsF3M62xa3RFhHFbmfNIaMrR4I6y4x7UTFhT+BALV9HWf6EwyGWffoh67/7mpSefbjoH/cd0nPuZMTjD7Igt4o5m8tZuruGYFgk1aLjphHpjO8ZR5+k6MOm7oqiiMvhpbrITU2Rm+piF46SRpo9v9rsaA1KzHF60npZMNm0mGw6TDYtRqsGlVbRoeJOEATkCgG5QobqKMudg4EQbqcPl8MXiS47vDRUe6kudpO/sfqg1GdLYhS25ChsKQasKQasiVEo/sdTWRAEMmxRZNiiuGlEOo7GZn7OrWL+jkreX7GPt5fuJdWiY0KfBCb0SyTTdmr9/uhM0Ux58HEWvvsGa2bPwlFSxPl/vQuV9thSsI1jUgjV+nD9VBSxCOobuRZ4dzpRJRuQG9rfobWuogyNPgqtofXuzE0tHrduWeQfOzbspQSo1wmoBAVG1aG7OktInCyMSh3Lw9aHcMYGGJy3nEf69UWeamb32kqGXZqJomWzUqXV0e/cC1k9exa15aXEJCQddmzT2FS8Wx3Uf1uA7dbep+QGXUeyq3YX/1xyN11+2cszP4dRKUMk/n0s+j+/hLshyNdPrKWx3MN6bZDxV2Rz+aCDs1BEUWTdt1+x7NMPSOiWw4S770dnNB123nBzEMcHOwg1NGP9Uy+Usb9v1CkhIXH6IeVmdBIGpQG1TEmD3outrAGFXIbNoKZREFHWNSOGxVYtd/aLW1dN+8WtJsuMe2Exvvx6dL1tHWb54/d6mPvKc+zdsJY+4y7g7OtuRq44NX7VwmGRFQUOvtpQyk+5VXj8IeJNGm4akc7FfRPIiTce8kEl4A9RXeiiIr+BioJ6qva5DghZmULAmhhF5gA7loQoYhIi0U7dKWIer1DKMcfpW+3kHfSHqKvyUFfRhKO0EUeJm4LNNeSuqABAJhOwJkcRl2kiPjOauAwTUeaDd9CtUWqmDkph6qAUXL4AP26vZM7mcl5dnM/Li/LpmWhkYr8kJvZLJEZ/avydyRVKxt7yN2yp6Sz+8B0+feBuJk6bfkxWXoIgYL60K8E6H7Vf7EYerUZh1hAobcQ4Pq1D1uuqqcYU2/ba9meV1IlhTFolClc9AA69gFV9akbZJf6Y6JQ6zo4bxA99lnHNT0WMG1TP0kAUQz1h9m1x0HVg7IH39ht/Eeu/m826b7/m3Fv/ftixZTolpvFp1H21B8+mavT9Yw97zOmIKIp8lvcZbyx/jlt/CNB/Zxh9YpiEZ55DMeBiinY4mPv2dnz+EGttAg/cOpieiQeL1nAoxMJ332Drwvl0G3Ym42+784iy1sRgGOfHOwmUN2K5OuewdmoSEhKnD6eG4jgNEQQBm9ZKrd5N2Ocn7PUSZ9RQ6w5jCol43H70pt+nzxitEXHbUFPV7jWokgwIGkWk7jbN2CGWP66aamY/8wjO0mJG33gr/c69sN3rPBGU1Xv5cn0ps9aXUFbvxahRMKFvAhP6JjIoLabNCG0wEKKioIGS3FrK99RTU+Qm3NLIKSZBT2Z/O/ZUA/ZUIzEJ+jbTdU91FCo5tmQDtmQDWS25F6Io4q714ShupKrQReXeBnKXlbN1UcQuyBCjIbFbNEndzCR2izlI7Bo1SqYMTGbKwGSqXT6+21rBnM1lPPp9Lk/N28nYnFguG5jMyK425CfQ+/dYEASBfuMvIiYxme9efJJP7r+LS/75AAlZR28XIihkWK7JoeaNLTg/ykXX8gCu7d7+lGSIfH4tSW3X7u7v5F4dCmI3qAnW1gFQGSVg1UnNpCROLc7PuZJ7967k6gUhrvTu4YaAmbOMRvJWVR4kbnWmaHqcPZZtC39k2GVXYog5fG25bkAsTWsrafhhH9oeFmSnqRVaW9T56pi+Yjplaxbz3BwRoyuEfbSdmKdmIUbFsvKbAjbOL8IhC1PeM4o3ru+P+X82LZs9Hr7/91MUbtnIoEumMOLya46otEMMi9R+sZvmPfWYJ3eVOldLSPzB+GNdbU8y7Lo4aqIKAQg6ncSZNFTVNZJOpGNya+LWYLEiyGS4HdXtnl+QC2i6RuPbXUegoqndlj9lu3by7fOPEwoEmHTvw6T16d/uNR5PQmGRn3dW8cmaYpbtqUEUYUQXK9POy2ZcTmyrNbSiKFJb3kTJztoDgjYYCCOTC8SmG+k7NoX4LibiMkxo9Mfuc3o6IAgCRosWo0VLRr+WBmqhMI6SRioLGijPr2ffVgd5qyoBiI7VkdTNTGpPC4nZZpQtacx2YyRyftOIdHZVupm1voSvN5byw7ZKEkwaJg9M5qrBKcQaNZ12rkdCaq++XPnY88x+agazHvkX42//B9nD2rbcaYtfLYI207i0DHmMBoW9/d2mRVHE5awhvV/bHtqNLZHbMr+fWKOGUG1kk60sSo5Vf/TRaAmJzmRYwnDkURrKk92kblpC1IihVGrkBHKdNLZYXu1n4IUT2bLgB7b8NI8RU6857NiCTCD64kyqX9uMe2kZpv/pbXE6s65yHff9Mo1hS2q4bUkIlTZE4r2T0F7zBN6mIHOe34CzwMUOZZAu5yXzxvjs321Sup0OZj/1MI7SYsbe8jd6n3PuEc0tiiL1c/LxbqnBOD4N/UDpuiQh8UdDErediE1vp8KoAESCNTXEm7Qs9jkZgjISIUn//TEyuZyoGAuumvaLW4hYAnm3OQi7/e2y/Nm5Ygk/vv4iBouNSx56Ekticoes73hQ1+Rn5roSPl5dRFm9l3iThr+N7sqUAUmtWtL4fUGKd9RSuM1Byc5aPA2Rpk/mOB05IxNI7h5DQtdoVFIHxsMil8uITTMSm2akzznJiGERR1kjZbvqKN1VR96aSrYvLUOulB0Quqm9LBgtkQLhbnEGHrwwh3vGd+Pn3Go+X1/CK4v28PrifMb3jOP6YWkMSDWftOmxMQlJXPHYc8x57nHmvvQM9ZUVDJ542VGvV2HVYrk2h5p3tqHrbe2Q8/W6XQSbmzFY7G2+p7HWh9aooqrRz2BbFEFnLQAlRjkjJBsgiVMMpVzJuJRz+DHnO26cX8X1sc3MKnVxrahi99pK+p/7qyCNjo0jo/8ZbFv0I0MnT0WuOPzmpSrZgLaXlcZlZUQNie+QuviTmWA4yBtb3uDzVW9z91yBbgVBDBkQ/9ybyHNGU1HQwJzXt9DcFGClKcyfr+/D6O6/T9mu2LOLOc89RqDZx6RpD5HWt+0Nt98iiiINc/fRtKaSqLOSMJx1+PpoCQmJ0w/pabwTsWltbDDIgBAhp5NYYzrVgSCgpKmhuc3jjFY7DR0lbrNjkEerMYxKPibLH1EUWfvNFyyf+RFJ3Xty8V3/arMZTWezo7yBD1cWMmdzOc3BMEMzLDx4YQ5juttRyA9OdfK6/ezb6mDf5hpKdtYRCobR6JUkdzeTnBNDcvcYoswnd6TwVECQCQfSmfuOSSEUCFO+p57C7Q4Ktzkp2u6EmWBJ1JPa00p6Hyux6UbUCjkX9I7ngt7xFDqa+O/qImatL+H7rRX0SDBy3bA0Lu6TcMQdrE8kOqOJKQ8+zk9vvsSKz/9LfWU5Y2/56xE9LP8WdZqJ+HsHHWgG117cjhoAjLa2Rer+aFaN243NqCZU6gQZlGsFrDrJBkji1GN81qXc2W0uN/wYYmz1Dl4R+6CM1ZC3qoJ+41IO2jjqO+4Cvt6wlj1rVh6xvZfx3DS8Oxy4FhVjnnD6WgOVN5Yzbek0gus28vK3IjpfmNgLU4ie8RnoYlj/UxGrZxfQIITZ1VXNCzcNJDH6910Ndy7/hR/ffIkocwyTH3gMa/KRR7xdC4poXF5G1LAETOPTTtpNTgkJieOLJG47EZvORlVLb56gw0l8t+54BUCIiKu2MNnslHSA1y2A3KgibtoZx3QTCAWDLHz3dbYt+ons4Wdx7m13olCeXKm4wVCYH3dU8cHKfawrrEOrlHPpgCSuG5pGtzjDQe91Ob3s2+xg7+YaKvLrEcVIXWjPMxNJ72slPtOETH561syeLMiVssjmQU4MI6aI1Fd5WkSug80Litn4YxFRMWq69LfTZWAs9lQDaVY9D16Yw/+NzWL2pjI+WlXIPV9u5ckfdjJ1UArXDk0l3nSUraGPMwqlkvP+ehfm+ERWfvEJDTVVXPx/R78x1JGRIFdLqcP+uv7WcNc1o7dq8DeEiTVoCNbWImgBQZA8biVOSfrF9oMoNZVJblKW/0zauUPIDYXpWuSjutBNbPqvn8m03v0wxcax+acfjljcKq1a9GfE0bSmEsOIRBSWk+ta1BH8VPgTjyx/iIsXN3HhijBqY5DEGdejufRfNPtCzH11CxU7aslXhLCeE89/LspB9T/9J8RwmBWzPmHN7M9J6t6Ti/7vviPqiLwf1+Ji3ItK0J8Rh+nCDEnYSkj8gZHEbSdi09po2C9unQ7iTBoQQKFV/M5T9LcYbXYaVzgJh0LI5O2PTB3LTcDv9fDdi5FGD4MnXs7wy68+qW4mvkCILzeU8vbSvRTXekiJ0fHABd2ZMiAZ028iXb7GAPkbq9m9tpKK/AYg0ghqwHlpZPS1YU2OOqnO64+EIAgHujP3G5tCsydA4VYH+Ruq2bq4lM0/l2C0augywE6XAbFYk6O4ekgqVw1OYVWBkw9WFvLWkgL+s2wvE/slcsuZmXSxnzx2QoIgMHTyFUTHxfPjG//mswfvZuK0h9rdBf1YcdVEIrcG6yEit7U+9CmRi5bdqCbkrCWsCQNg1Uji9nRAEIS7gWcBmyiKDiFyAXwJOB/wANeLorixM9fYkShlSkbEDWZhzmKu/rGCa2x+ns3zkiXXUbCx+iBxK8hk9Bl7Pks/fo+a4kJsKWlHNIfxnFQ8G6txLSgiZmr2cTqTE4836OWZdc+weN0XTP9ORnJJAFN3OXHPvY8scwiOUjdfv7KF5oZm1hjCXHVtT87rFf+7cfw+L/NefYH8davoefY4xvzptqPKZHEvL8P1YxG6fnaiJ3Y5ZqcHCQmJ0wNJ3HYidp2dkFxAVIuEnE7i9jfE0cgOGbk1WO2I4TCNtc4D1kC+q2ZHAAAgAElEQVQnEnetg9lPzcBRUnRUjR5OBC5fgE9WF/Pu8n04GpvpkxzNv87vztic2AMNK4L+EPu2Oti9toriHU7CIRFznI7BEzLoMsBOdAc055HoeNQ6Jd2GxNNtSDy+pgD7ttSQv6GazQtK2PhjMSablqzBcWQPiWNYFyvDulgpqfXwn2V7mbmuhC82lHJuThy3jcqkT3J0Z5/OAbqPGIXRamfOc4/x6YP/ZOI9Dx5TJ+X24nZWo1Cr24weB/whAs0hAsrI58hu0BB0OvGrQ8Cv3t0Spy6CICQDY4Hi37x8HtC15Wsw8EbL99OGszIv4PHspVz1U4gzy7fyqNAD0a6mYHMNQydlHrTB2XPUGFZ8/l+2/PQDY/50+xGNLzeq0A+Np3FZGcaxqadF9HZX7S7uWXoPlnUFvDw3jCoYIP6ybEz3fwxqA9uXl/HLp7toEkW2pyl4/OaBpFp+byPnclTzzTOP4iguYtS1N9P//IuPakO5cVU5Dd/vRdvTgnlyliRsJSQkJHHbmUSrIw/YQW2YoKMlcgsElYcWt/sFbUNN1QkXtzVF+/j66Rk0NzUdVaOH402128f7Kwr5eFUR7uYgI7tauX1UP4ZkxCAIAqIoUra7jrxVFRRsqiHgC6Ezqeh9dhJZg+KkCO0phkavpPuwBLoPS8DXGKBgUzV71lezbu4+1n2/j8Ru0XQfGk9GfzszJvTkb+d05YMVhXy0qpD5OyoZlmnh9lFdGN7FclL8uydm53DFY8/x9ZMP8cUj93P+Hf+k6xlDT+gaXDU1GK32Nv8+9l+TvC0/jjWqCThr8Ooi1ldSWvJpwYvAPcCc37w2AfhIFEURWC0IQrQgCPGiKFZ0ygqPAyMSR+DRyahN8JOwYjEDLhrBpopm+tWIOMsasSb9WsKiNRjpNnQkO5cv5qxrb0KpOjJ3AcOIJBpXlONeUop5UtfjdSrHHVEUmblrJi+tepbrFoUZtS6ExhIk8cE7UJ37F4KBMPPf3U7RumqKFSE0I+28M6lnq/0PynfvZM5zjxP0+5k4bTrp/QYe1Vrcy8to+H4vmhwLMVOzEeSdfy2XkJDofCRx24mY1JF6Er9WJFhViUYpJ1qnxCuKeFyHrrkFOqxj8pFSuGUj3734JCqtjqkznsaelnFC52+NygYfry3O5/P1JQRCYc7vFc9tZ2UeMIL3uv3kraokd0U59VUelBo5mf3tZA2KJTHL3KZ/rcSpgyZKSY+RifQYmYjL6WXX6kryVlXw8wc7Uc7cTdcBdrKHJXDXuCz+fFYGn60t5j/L9nH1u2volWjijnO6ck73tkXdicIcl8AVjz7HN08/wnfPP8nZN9xyQn2iXY5qjIdISfY1RkolXGIkUms3aCiqrcPdomktGslL8lRGEISLgTJRFLf8z2chESj5zf+Xtrz2O3ErCMItwC0AKSlt+yWfbJjUJvrGdGddxmbGLyvksjQ1M/bV0U/QUrCp5iBxC5Bz5mhyly5i74a1dBs68ojmkBtV6AfG0rS+CuM5Kchbsfo72an31TN95XTyNi/imW8FbJVBYvppsL/wKUJ8d+oqm/jq1S00O3ys14W45JocJvRrvcxi2+KfWPif1zFYbFw2/UksSUfnsOBeUkrDvH1oe1qIuSIbQeqHISEh0YIkbjsRoyqS/ufViQQdDgDijBrcDSJGd7DN4wyWyAOoqwO8bo+UbYt/4ud3XsOSmMzEex/GYOncKE2128friwv4dG0xoihyaf8k/nxWJulWPWJYpCSvltxl5ezdXEM4JBKfaWLA+O5kDrAf8E+VOP0wWrSccUE6A89Lozy/nryVFexeV0XuigrMcTp6jEzkuqEpXDcsjdkby3j9lwL+9NF6+iRH839jsziza8fY6hwrOqOJKdMf5/uXnmHRe2/idjoYOfVaBNnxf3BzOWqITW+7m+v+PgB1oRAGjQJ1sBnR10y9TiBaoUcpP7mayUn8HkEQfgZaM/68H/gXMK61w1p5TWxtfFEU3wbeBhg4cGCr7zlZGZV+Hl923cH4ZSGG1xfglesJW1Ts3VTD4IsO3shN7tELvTmGnct/OWJxC2A4K5mmdZW4l5URfWHnbw4fDesq13HfsvvovraaF+aHUAkh4m8egeGON0ChZueqChZ+nIc3HGZropyHbx1Epu33PQ5CwQCLP3iHLQt+IKVnHy68c9pRN9JzLS7G9WMR2t5WYi7vJglbCQmJg5DEbSeiVWhRCDKadBAqrwMg3qShrtaDvTlMwB9qVYgpVCr00eYTErkVRZGVsz5m9defk9q7Hxf94z7Uus6rSXU2NvPW0r18tKqQQEjk0v6J/G10V5JjdHjdfjbMLyR3eTkuhw+1TkGvs5LIGZFATMLva30kTl8EmUBilpnELDMjp2aRv6Ga3OXlLP9iD6vnFJA1KI4xoxK59K6z+HpjKS8vzOe699YyMNXM/43LYlhm523eKNUaJtx1P4vef5N1c77E7ag57p3IA80+vK6GQ5Y5eBsj2SSOQAC7QU2wNnLNcuoFrOqTp4ZZom1EURzT2uuCIPQi4qy+P2qbBGwUBGEQkUjtb8NqSUD5cV7qCefM5DN53v4cAa2IsHYVA7KmsLPST49yP/VVHqJjf73vyWRysoedyab53+NtdKONMhxi5F9RxGjQ9bHTtKYCw9nJyPUn/4ZQMBzkra1v8eH6t/jbAhkDtwTQxYVJePIxlEMvI9Ac4qcPtlO4vppSeQiGWXj78j5oW3l2aaqv49sXnqR8Vy4DL5rEyCuuO6qmmKIo4l5YjOvnYnR9bZindJNSkSUkJH6HJG47EUEQMCqjcOmbCHt9hH0+4kwaCgMuuhGpu1W20XjCaLUfd3EbCgZZ8PYr7FiykJ5nj2XMn/6CXNE5vzL1Hj9vL93LBysL8QVCXNI3kb+f05U0qx5HaSOLvt/J7rVVhIJhErpGM/jiDDL62VCchD6nEicWlUZBzvAEcoYnUFPsZtuSUnavqSR3eTlxGSb6jUrk5zvO5MstZby2KJ8r31nD0AwL/zcuizPSjt77uSOQyeWcc9PtGKx2ln/2IU31dVx817/Q6I9Pt2eX4/CdkvdHbst9AewGDaFaJwCVUQJWrdRM6lRGFMVtwIGdDUEQCoGBLd2SvwX+KgjCTCKNpBpOp3rb/aQb00nR2ihILUezYjljLr6d1/btoQcaCjZVM2B82kHv7z5iFBvmfsPuVcvpM/a8I57HcFYSnk3VeDZUYTgzqYPPomOpaKzg3mX34ty2gVe+AWOdH+tIK9ZnP0eITsRZ3sjXr26hudbHel2Y86Z24/JBraejl+/eybcvPEmzp4kL/v7PI7ZS2o8oijTML6RxSSm6AbGYL+0qNY+SkJBoFUncdjJGlZE6fRUQ8bqNM2pZ4w8AarzuAMa2xK3NTtW+/OO2roDPx3cvPsm+zRsYNuUqhlw6tVPSNT3+IO8u28dbS/fS5A9yYe8E7jinKxlWPYVbHXzz0S7KdtejUMrIHhpH77OTpSitRJvYUgyMvqY7wyZ1IW9VBduXlLHgvVy0hkjd7rw/D+ObvEpeW1zAlDdXcVaWjXvPy6Z7/NGlzXUEgiAw+JIpGCxWfnzjJT5/aBqT7ptxXEoC3C3i9tA1t35kcoGKpmYGWM0EnRFxWxElx6I/8V3bJU4YPxCxAconYgV0Q+cu5/ggCAKDEoeztMvXZOc1co6ijqdkIjKLmn1bHL8Tt/b0TGISkti5/JejErfKOD2qNCONayqIGpF40gq0BUULeGjFdM5e42HaghBKdYiEuy9Bf8NTiILAtmVlLPlsFx5RZGuynIdvHtym1drWn+ez8L03MVitXHrfDGyp6Ue1FjEkUjd7D571VegHxxE9QbL7kZCQaBtJ3HYyRo2Z2qjIRTrkdBBnMuMRIqVK3kM0lTLa7OSvW4UYDnd4PZ7H1cA3Tz9CZcEext78V3qPGd+h4x8JwVCYLzeU8sKC3VS7mxmXE8td47qRZtKyc0U5n/yyFZfDR1SMmqGTMskZnoDmFEjxkjg50OiV9B2TQp/RyZTsrGXbL6Wsn1fIpp+K6TY4lu+uHcR3hTW8triA819exqX9k7hrXBbxphNv4ZEz8mz00Wa+ff5xPn3gLibdN+OI/TWPlP31+4dMS3YH0EYpqXa7sRs1hFrSkiujBDKkTsmnFaIopv3mzyLwl85bzYmjf/xgnsr4hlsIYc7dRJolixJvGLHQRbM3iFr76yOTIAh0HzGKFbM+xlVTfVTOBVFD4qmduYvm/Ho0WebjcSrHjC/o45l1z/DDlllMm68gO89PVKpA/Atvo+gxCr8vyNz3d1C+xUmxIoRupJ3/tNENORgIsOj9N9m28EfS+vTn/L//84hTuPcjBsI4Z+bh2+HEMDoZ49jUTm/+JyEhcXIjidtOxqA2Um2I/DMEHQ7ikhPwtFy3PYeyA7LaCQWDNNXXERXTcV1KXTXVfPnEdNw11Vx0130n3I5EFEUW76rmqXl57K5qpH9KNK9f1Z/u0Xq2LCxhybIyAr4Q8V1MDJvUhfQ+VmRSMwmJY0SQCaT0sJDSw0J9lYfNC0vIW1VB7ooK0npZ+GJiP74qqeH9VUV8t6Wcm0akc+uoTIyaE7uRktqrL5c//DSzn3qYmdPvYcLd95PSs0+Hje+qqUGQyYgyt30t8TYGUOmVNHvCkZrbspbIrV5Arzo+6dISEieS/rH9cekFPJYQTUuXMOaKkSxcWsxkUUX5nnrSex+8iZPdIm53rV7OGRdNOuJ5tD2tyPR7aVxdcVKJ2z11e7hn6T3It+/h9Tki2kYf9vPSiXliJoLWhKO0ka9e3USg3s+GqDCXX9eT8b3iWx3L5ajm+xefpiJ/F4MumcLwy69GJju6MqFwcxDnR7k0FzRgujADw4jWOy9LSEhI/BZJ3HYyRpWRUoMCCBJ0OInvqcEja4ncHkrc2lvsgBzVHSZua4oL+fqJ6QT8zVz6wKMkZffokHGPlK2l9Tzxw05W760lzaLjjav6M8RuZPOCEj5aXYEYEukyMJZ+Y1OwpRzd7q+ExOGIjtUx6spuDL4onW1Lyti+pJTCbU4yUwx8NKYHn1c4ef2XAj5bW8zfz+nKVYNTUSlO3MaKPS2jxQv3Yb5+8iHO++vddBs6okPGdrdcRw7V3MXr9iNo5OAhErl11iIoZfjUMqKUkriVOPVJ0CdgV0WTn1qJbstWzrnXwPtCCEEuULar7nfiNjo2DmtyKvs2rT8qcSsoZOgHxuJeWkqwoRlFJ9sCiaLIrF2zeG7tM0xeGeaiJUFU+jCJj96CdtJdiMDGxSWs+GIPHlGkIFPN4zcPICG69UyWfZs38MMrzxEOBbnoH/eSNeTor1OhRj+OD3YQKG/EfFkW+v6x7TxLCQmJPwqSuO1kjCoj5fpIqDbodBCjVxEUAIVwoIFLq8dZf/W6Tcjq3u51lOZu55tnH0Wp0TD14aexdnDa46Eor/fy1Lw8vt1SToxexYyLezA23szWBSV8umkncoWMnOEJ9B2Tgsl24tNCJf5YaA0qBl2YTv9xKexaU8nmn0vYMDOf/jYt54/I5sPyamZ8l8sHKwu577zunNsj9oSlyRmtdqbOeIbZzzzC9y89jdftou+489s9rstRc+Ca0hbexgAyS+QhPNIt2Ymgi5y3XinVuUuc+giCQP/4QSzp8gO9N4bo7txLlE6JRyandFddq8ek9R3Axh++xe/1oNIeuZOAfnA87qWlNK2txDQ2taNO4ahpaG7goZUPsWn7zzzxvYykogDGbA1xL32EPLU3fm+Qb/6zjZoddRQrQsSfm8Tr53dD0UrGVDgcYtUXn7J69ixsyalc+I/7iEk4+mhrwOHF+f52gg1+LNfkoO0ueWhLSEgcOZK47WSMKiN1ShGZGkIOJxZtJN1RVMsOHbltqe9p6ICOyXvWrGTuK89issVy6f2PHPYht6PwBUK8tWQvbyzJRxThL2dnckmChdyFpczO24tKq2DAuan0Hp2Mzqg6IWuSkNiPQiWnx8hEcoYnsG+rgw3zCtn9fRFjzWom9svgndIqbv14A8O7WHjooh5kxZ6YbAJNVBST73+E7//9NAvffR2vq6HdDd9cjmoSu+Uc8j0+tx9FbETcxrbU3IoaERCkyK3EaUO/2AG8mPQjECKQu4ORXYewc0st2tIg3kY/2qiD70XpfQey/ruvKd6+lS5nDDnieRQxGtRdovFsqsY4JqVT6kg3VG3g3mX3krq5kle/D6EMBoi/ehCme/8DCjVVhS6+em0zIXeALSa46ZZ+DG3DJs3TUM/cl5+lePsWeowawzk33opSrTnqNTUXNuD8KBcEsN3cC3XqiW/mJyEhcWojidtOxqQ2EQZkmjBBpxOlXIZeJSeEDM8hGkqpNFq0RhP1le2zG9yy4AcWvvsmcV26MnHaQ0dtpn4siKLI/O2VPDZ3J2X1Xs7vFcfN3RIoXFLBT7PL0RlVDJ2USc+Riai00q+oROciyAQy+tpI72OlJLeW9fMKqVhcweVGFcGuibxZUs15Ly3jmiGp/GNMFibd8a/HVao1XHzX/Sx4+xVWfvEJHlc9o6//8zE1lwuHQ7idjkM2xAkFwvh9IQItze7sBjVVtU5C6hAgI0qquZU4TRgQOwCfWsBvCuHbvIFBN5zPmxur6I+a8t31ZPY/+HOSmN0dpUbLvs3rj0rcAuh626j7ag+BskZUSSeu1CYYDvLO1nd4d8Mb3LpYzvD1QTSWMIlPTEd11lWIYZGV3+9l49xCGglT2UPPMzcOIEbf+iZzad4O5v77aXyNjZx76x30PHvsMa3Ls6WG2i92oYjWYL2hB4o23CIkJCQkDoWkHDoZoyoiJkV1kKDDAYBJq6Q5zCHTkgGsyak4SoqOaV5RFFn15aes+vIzMvqfwYV3TjumXdajJa/SxYxvc1m110l2nIG3zu2BZ2MtK5ftRGdSMfLyruSMSJD8aSVOOgTh1+ZTZbvrWP9DIaUbarlVp8GZqOL9lYXM2VzG3ed2Y+oZKciPs1WFXKHg3NvuRGs0sf67r/G6XJz31/9Drjg6cd1YW4sYDh8yY8PbGLkWuUURvUqOXq0g5KwlYAwASilyK3Ha0CW6C1EKLRWxPnTbt9M/xUylPIygECjdVfc7cStXKEnt1Yd9mzcgiuJRRWA1ORaYvQfvNscJE7eVTZVMWzqN6h0beHkOmGsCxAw2Y39xFkJMEk0NzXz1xhbchY3sVYXodUk6956d2ep5iaLI+u9ns+zTD4iOjWPivQ9jT8s46jWJooh7SSmu+YWo0oxYrslBLrkfSEhIHCOdIm4FQUgGPgLigDDwtiiKLwmCEAN8DqQBhcBloii2XuhymrBf3Ia0IiFnRNwatUp83kM3lAKwpqSyfdGCo7YDCodDLHrvTbYsmEePUWMYd8vfDtlIpiOo9/h5YcFuPl5dhFGr5KHBGZj2esj/fK8kaiVOORKzzCRmmanc28D6eYX4tzm5S2tglw4e+no7H68u5uGLchiccXxrxQRB4Kyrb0RnNLH0k/fxNTVy8V3/QqU58oiHo7gQgJiEpDbf422MXIvqwkFijRpEUSTodOK3hwGp5lbi9EEuk9PH1pdtiUtJ3e2ii9yHVi3Hp1RS1kbdbXrfgeSvW01tWQmWpJQjn0uvRJ0ZjWebA+P4tOOemrywaCHTVzzI8PVN3PNTCKUiTMKdFxJ1y7Mgk1GwpYYf3ttBqDnENpuMO/98Br2Solsdy+Nq4Mc3X2LvhrVkDR7OuFvvQK078prj/YjBMHXf5ONZX4W2j42YyVkISskBQUJC4tjprMhtELhLFMWNgiAYgA2CICwArgcWiqL4lCAI9/L/7J13eBzV2bfv2d60u+q9WpZ7kQsGVww4dEwxHQK8EPImIfUNLYRQQwmEBAIE+AKEhA6mGTAGDG64V7nLtopVbHVtrzPz/TFrG8cyLpEtIZ/7us51ZmdmZ86stDvzO0+DO4Dbe2iMxwWnWRO3UZOKocMHaJZbvxQj5I+jKupBi5Wn5RcRi4TxNDfhzuo6Hf9/IsdjzH7mL2xdvICTps9g4pXXHdMbqqqqvLuqnodnb6EzGOX6smwGtSo0z9kFQtQKvudklbg472cjaKrxsnxWFbGN7fzW5mDp7ihXPb+U6aNy+d25g0hzHNtsqGMvuASr08Xnzz/FO/f/jovuuBeb03VY7921vRJJ0pFZUnrQfcIJL5K2aJz0JDOKzwfxOCGb5qYs3JIFfYlRWWP4PG8x5yET27yJ8oJkduwMYd4dJeCJYP+P7MZFI0cDUL1m5RGJWwDbsHQ63ttGrDGAKffYfI/C8TCPr3ycj9e+ya1zDAzeHMWeL5Hz52cxDD8dOaYw+9WN1C5uok2nII9P5W9XDMNm6voRsW5jBZ/+7XFCPi9Tr/8x5Wedd1TPEbIvSturm4nWerUatmcUHvR5RyAQCA6XHpkeU1V1l6qqqxPLPmAzkAtMB15J7PYKcGFPjO94ssdyGzGBEggC4LYZ8aoKqqISDh7cNTk9kdG4pa7msM4Vi4T58LEH2bp4AZOvvoFJV11/TIVtZZOPy59fyq3vVjDUZuGhtCxSl3Xibwkz6fL+XPvgKQyfmi+EreB7T2aRk/N/PpKLfjuKzNwkxnZI/CrqoHp5E2c8No/XltWiKOoxHcPQU89g+m/vonVnLW/eczve1sNLNrd7RyVp+QUYLQcPS9hjud0diWplgNrbAQgmDDXCLVnQlyjPKKcmA1QJwhs2MrowmdUh7f7cuK3zgP2daemk5hVQvXbVEZ/LMiQVdBBa3/Jfj7srtnds58pPrmTdl2/y7EsKg7eEyTiriPwPF2MYfjrtuwK8cM9iahc3scmucPKPB/PAD8u7FLaKLPPN26/y9gN3YbTauOqPTzDq7POP6jkiWu+j+ek1xBr9pFw1ENcPioSwFQgE3UKP+35IklQElAPLgExVVXeBJoCBLoPAJEm6WZKklZIkrWxpOTY3hOPFHnEbNoESCqMqCi6rkU5ZBiDkPbi4Tc3LB6Bt56HjbiPBADMfuofqdauZdvMtjL3gkm4YfdcEo3Eenr2Zc55cyO5GH79PSWfc9hj+hgAnX1jCNQ8IUSvom+SUurnwN+Vc8KuRZGfZOSNg5JoOE6+9tZmLn/2GjY2eY3r+fqPHccnvHyDY2cEbd996yJh8VVXZvb2SrNKy79xvT/x/fTCaKAOkiVtfQtzajEfujigQ9FZKXCVETBJht0x43RpGFybTrFNBgrYGf5fvKRo5moYtG4nHvjtXxn/ybddkVe2+CbA9tWuvnHU5J39azX2vxXGqMkUP3kTqXz4Fq4vlX+3k1QeWEeiIUNnfwj33TuSsETldHs/b2sLb99/J0plvMmTy6Vzz8F+OKr4WILi2mebnKkCSSP/JCGzD0/+bSxUIBIL96NGEUpIkOYCZwK9UVfUe7uyfqqovAC8AjBkz5tiaQ44xSSYtiUQw4eWkBIO4rEZa43HAmIi77TqezWS14crIpOUQD7BBTyczH7qH1rpazvvlbQw4ZVI3XsH+fLGpiXs/2khne4gbk9y4dkWRO4OMOrOQ8mkFWESSCEEfR5Ik8gemkDcgmdoNbSz7qIpz61Tatka45YnFTJ1cwG/OHIDDfGx+fvMGDuHyex9h5sP38NY9t3PRHfeSUzawy307m3YR9vsOKW7DgRiSBB1xmTSHmXhbAwAeK1h0Jow68b0W9B1SLCkk6a00ZYZxbNzAyHwXqg5Uh4H2xkCX78kuHcCq+Pu01dV+p4t/V+x1Td4VwJTz33tBeCIe7ltyH6vXf85DsyTydsZxDbaR+ddX0BcMIxKK89bf1+Kr9LLLqFA2vYj/O73rpFEA21Ys4fO/P4ksy5xzy/8xaNLUoxqXKqt4Pq/BP79eSxx1zSD0DlHmTyAQdC89Jm4lSTKiCdvXVFV9L7G6SZKkbFVVd0mSlA3890Vcezl2ox29pCdg1m4qit+vWW4VGTASPGRSqaK9CWG6wtvazLsP3o2vrZULb7ub4kRsUHfT0Bning83smBTE2frbQwM2sAfZcikHEafU3RAjJJA0NeRJImiYWkUDkll26omlrxfxYx2idrPG7l09S5+cckQzhqadUxCA9ILi7ny/j/x7oN38+6Dv2f6rb+ncNjIA/bbvb0SgKx+h7LcRjHaDCBBit2IvEOz3HbYRTIpQd9DkiSKnIVUZXVStMWL1dvBgCwn7bsV3Lu6FreZxf0AaKreccTi1jIgGYBIlee/Frerm1Zz+8LbKVqzm799LGOUFbJ/OAHX7c+D3kjt1nY+eK4CXUimMl3PLT8dw4DsrksAxqIRFrz6EmvnfEJmSSnn/vI2krO6tuweCtkXpf2NLUSqPNjHZeE+vx+SocedBwUCQR+kp7IlS8CLwGZVVZ/41qaPgOuARxL9hz0wvOOKJEkkmZLw2UIAKIEALpuJQKKe5KHLARVRtXoF8VgMg3F/60l7Yz3vPng30VCQGXc9QO7Awd0+fkVR+ffSWh6bvYVBIR2/jNkholB6UiYnnV+CK13UqROc2Eg6ibKxWfQbmcGGBQ0YPq6icLfMxy+s55Nhddx9xXAynd1fhsuVkcXl9z3KzIf+wPuP3Mu5v7yN/ieN32+f3dsrMZjNpOUXfuexQv4YBqsB4pBsMyF7NPfqDpsOh+n41ecUCI4XhcmlrM3bxGkohDdsYExhJtU7d5HWKROPyQeE1bgyszDb7DRX7zjic+ldZvQpFqLVHpiYe1TjlRWZF9a/wIsr/87/fqVjwqo4lnTIffRhTOMvRlFUZr+5hap5jfh1CoaJ6Tx+xVDMhq7Dg5qqd/Dp3x6nvaGO0edeyKSrrjviMmN7iFR7aHt9C2o4TvJlZdhHZR7VcQQCgeBw6CnL7QTgWmC9JElrE+t+hyZq35Yk6UZgJ3BpD43vuOI0OfFYO4F4wnKbTlgCpMMoB5RfgKootDfU7Rf/0lS1nQ9pCvAAACAASURBVJkP34MkSVx2z8NHHRvzXWxr8nHHzAo6dni5XrZgDavk9HcyYUYpGYVdzwQLBCcqeqOOEafnM3B8Nqvm1MAXdcirfdyzeSETLyzlqklF6Lo5oYojOYXL7nmY9x+5l1lPPMKZP/klQ6acvnf7ru1bySwuPWQpsJAvimTRgx9SHSYUnxfJoMNjMWEXmZIFfZBCZyFzsiTtPrxhA6MnD2T5gnpUVU9nU5C0/6hLK0kSGUUlRyVuAcyFTsKVHUdcKxe02rV3LryTpg0reOoDleTWGCkTssn4y5tIzgw6moO8/tQaaI1Qa1OZfuMwJg3pWmAqiszKWe/zzVuvYnM6ueSuBygaXn5U16SqKv6FDXg+q8aQYiX1xqEYs4Snh0AgOLb0iLhVVXURcLBf79MPsr7PoolbAxBH9vtxpeegSmC0Gg7LLRmgta52r4Ct37yB9x+9H7Pdzoy7HiQl5+hmgg9GNK7w93k7eOuLHZwaMpAbNePOsHDK9aUUj0g75rX6BILvM2argfEXljLi1HzmvluJbmULTW9W8X8L6rnl5pH0y+xeS6jVkcSM3z/Ih489yGfP/oVIMMCosy9Ajsdorqli5JnnHfIYYX8M2aa5ECbbTMheHzqLnoBeJzIlC/okRc4iYkYJ3HHCFRWMvPom2vRaXef2xsAB4hYgo7iEdZ/PRpHlI64dbyp2ElzTTLw1hDH98BO0fbXzK6127TIfv/0ijtGoknPH1TiuuxsVWDK3luUzdyArKq0D7Nx1cznJ9q7DhLwtzcx+5gnqN2+gbNwEzvjRz7AmHd1EtRyI0TFzG+FNbViHpZF8SX90lh5N8yIQCE4QxC9NL8BpdtJu1W6Eij+Au0Bz/dFZ9YS83y1uk7Nz0ekNe+Nuq9asYNafH8aZnsGM3z9IUmpat4519c4O7n1zHTn1Ua6KmjDbDIy7qJghk3PR60X8jEBwuNjdZi64aRitZ/l476UNlDaEeP3+ZaROyOSmywZjOoi74NFgsli56I57+eTJP/H1P18gEghQXD4GORYj+xDJpEALj4glXKdT7Cb8Pi96s4RfryNXxNwK+iBFriIAAm4FY00V+W4L7ToVVeKgSaUyikuJx6K0N9TtnXg+XMxFWl3qaI33sMRtRI7w+IrHmbX2DW6drWPw1hj2QjM5T7+Iof8YQv4orz2zlki1n2ajwvDL+vHrKUVdTj6rqsqWRfP48sW/Aypn/fTXDJ582lFPVEeqOml/cytyIIbrvBIcE3LEpLdAIDhuCHHbC3CanOzeky05EMBl1cStatYdMuZWbzCQmptH684atnwzn9nPPEF6YTEX33kfNqer28YYjMZ57JMtVM5v4PSIAaPOyIhp+Yw5uxCzTWRKFQiOlrS8JH5098msW76Lr96oRF3QwkOrFnDOtYM4aWRWt53HYDRy/q/v4PPnn2LxO69RuXQRoGV5/S6URL3tuM6CTgKnxYjX60NnUgnohOVW0DcpSCoAoNMOSbvbMRv0JDtMxON62g+RVKq5puqIxa0h3YrObiBS7cE+9ru/9zs6d3DrglsxrKvk2Q9lrME4GReVk3L/P5GMZjasaeKLlzehjyrU5Rj5+U9HU5DW9SRU2O/nyxefZeviBeQMGMw5t/wGV8bR/e6osop3bi2+r+swpFrJuG4Iplzx+yAQCI4vQtz2ApwmJ+tNmrvTnmzJALJJd8iYW9Bck7ctW0z1utXkDRzChbf9AbOt++pOLq9u428vr2NIi8p41UhReToTLy4VyaIEgm5CkiRGjsth2Ogs3nlrM5FFu1n23EaW9dvJ9TcPJ8nVPQmndHo9Z/7vLzHZbKyZPQuby01S2nfXmAz7Y6CCH5VkmwmdTkL2+dAb4vjRiWzJgj6JzWgjw5ZBc1IduaEoSjhMlsuCP6Qe1HKbnJOLwWSmqXoHgyefdkTnkyQJU6GLSI33oPuoqsrMbTN5bOkjzFgY5dxFcUxJErlP3o112tXIMYXXn1uLZ20bAb1K1tl5PHr+gIPG8letWcEXz/+NoNfDxCt+yNjpl6DTHZ3HSLw9TPubW4ju9GEbnYn7gn7ozKKWvUAgOP4IcdsLcJqdtBg1C63i85KcELdRo0SgM3LIBBNpBUVsXjSPklFjOe/Xd2A0dU/ZnVBU5i/vbMC3uJmTZT22LBtnXTuY7H7dZxEWCAT70Bt0XHH1EHZPK+LF59bi3OHjxTsXM3haHqefX4q+G0pnSDodU6+7meSsHPRG4yHdBUN+bYLNh0yyXatJqfh8GPUxAhhwiIRSgj5KkbOIencz5cSR29rIdlloaQ6Q3BoiHpUxmPYXbzqdnvSi4qNPKlXsJLypDdkbQe/c/z7ujXq5b/F9rKqYwx8/UsmtV3CNTCfz6TfQp+VRW9XJu8+uw+KXqU/Wc/3PyhmY1/W9OhIMMO9f/2DD11+QmlfAhbf94YjLF+1BVVWCq5vp/Ei75pQrB2AbkXFUxxIIBILuQIjbXoDT5CSqB0mvInva0eskkiwGQkYJfUwh5Ithcx680PmIaedgdToZPOk09Ibu+ZMu3dzCOy+vp8irkmQ0MP7SUkZOzkPq5myuAoHgQLIy7Nz1hwl8NL+GJe/twDinnm3f7ObsawdRMuK7La2HgyRJlJ91/mHtG06ERnTIMikJcSt7vZAcIY5FWG4FfZYiZxHVjhUAxNvayHJZ2CR3Uqbq6dgdJL3gwKRSmcX92LTgK1RFQdId2WTUnrjbSI0X2/B93/O1zWu5fcHtFK5u5G+fxDHKkP2zC3Hd8jAqMPPNzdTPb0QBlAnpPHjVUAwHyYFRs241c55/ikB7OyddeCmnzLjqgDKCh4vsj9Lx3nbCm9owFTtJuXQAhpTuL2smEAgER4IQt70ApymRjdCooHg7AHBZjfj0Kg7A2xb6TnFrttkYNvUH3TKWYCTOs/9YCxs8FKkSmaPSuODqwVjsIq72uCHHINimtYgPIn6IeCHq3/91LARyVNtfjv7HciJWW5ISTQckekkCSQ9GCxisiT7RjFatNzvA4k40F1gTvcUFhu7xDBAcmgumFDF+VBaP/XMd9s0+Zv99PekD3Jx17SCcaccnLCDk1/6X2mIyqXbtwVXx+YhnaLW4RcytoK9S6CxklU0LGYq3tpLtKmB2PAZocbddiduM4n6snfMJnU27SM4+skoFxhwHkklHpNqDbXg6siLz4oYX+ceKZ/jxlwrj18SxZJrIfepZTCMm0tIS5F9/XYWlLUabXceFNw9j1ICuk0hGgkHmv/oi6+fOISU3nwsefOyQ8fbfRWhDKx3vb0OJyLjOLcYxIVdMfgsEgl6BELe9AKdZE7eqUUXxeQBN3HZICtmArzVMVvGxdwVesLiehW9V4o5AJNnEhTcPJ/84nPeEQFUh2A7eBvA27usDzRBog2ArBFq1Puw59PGMtoQgNYPeCHpTon1rGUBRQFUAVevVRK/EIR6BeAhiYYiHNbGsfHcCM0ATxI50sGeAIxMce/p0rU/KBleetv0ILReCA0lLsvDoz8cxa00D776+iZFbO/j3PUsZc1Yho88sPMA1srvZE/ffHI3R325CiURQo1HiiTkO4Zbcd5Ak6efALUAc+ERV1dsS6+8EbgRk4Beqqs7puVEeP4pcRXQmHBPijbVkDiqjQ6ci6aWDxt1mFmvuvc01VUcsbiW9hCk/iWidj6ZAE3cuupOmiuX89QOZ5DZIPWMg6Y+9hmS18dmcKjZ+WINeUQkNd/G7H43EYuz6ka62Yi1znn8Sf1sbYy+4hPGXXo3BdPAJ8+9CDsTwfFxFcE0zxlwH6ZeVYcwU3hsCgaD3IMRtL2CP5VY2ajG3oInblogMaJbbY0l7a5B/P7cOQ30Io14l/9wCzj+vVKTuP1KC7dBRDe2J1lENnTv3Cdl4eP/9JT3Y08CWBvZUyB6x/2tbKpidYE7Smsmxr9cfo6+uImsiN+rXRHbYA6HOxHKiD3VAoAX8zdBRA3XLNCsz6v7H0pvBlQuufHDng6tA61NKILVUuz7xP3bYnF+ey8mladz75jp0FZ3wSQ0bF+/itCsHUDS8e0t+fZs9ltvdoSjJNhOKV/uNipiF5bYvIUnSVGA6MFxV1YgkSRmJ9YOBK4AhQA7wpSRJZaqqyj032uNDobMQb0K3ybtqyT7ZgiKBOdl80IzJqXn56PQGmmuqGHDKpCM+pyHVimf9Lq796BImf+Ph/76KYzRL5PzxVzgu+TFeb4R//Hkx5vowIRNM+eEgJo3J6fJY0VCQBa+9zLovZpOck8cV9/+JnLKBRzwm0GJrQxUtdM6qQgnGSTq9AOdp+UiiBKBAIOhlCHHbC9gjbuMmFcWv3TDdNiOVvggWhxFvW/i73n7UKLLC5x9sZ+uX9aCqeIps/Pgn5aR2U2bWPokcg/YqaNkCzVugdav2ur1aE3/fJikb3IWQUw4DzwVn7rdajmbxPMrMlMcMnV5zSTY7IOkIykHIMc3yHGgG7y7w1GnC3lMHnXWw7QvwN+3/HotLE7mppZDaH1L7actpZZqrtOAA0pPMPH3TWD5a18hzb29ivCfEJ89WUDg0lUmXlx2TDOaeliA2l4moGiLFbkL2+QCIJCy3Iua2z/AT4BFVVSMAqqo2J9ZPB95MrK+WJGk7cBKwpGeGefzIdeSiGg3ETHHiTY1kJe6NktNIe6O/y/foDUacael4mpu63P5dROQIi/xLKQ8Vcdurfkp3xHEMSCb72Vcx5PZj3oKdrHh7O5a4iq+fnV/8dBROe9cW2J0bKpjz3JN4W5sZfd5FTLj8mqNONhnvjND5wXbCW9ox5jlI+5+hmHLEpJZAIOidCHHbC9jjlhw1gRwMAprl1hOK4Ux14Wvtfsttw/ZOPvjHeuiMsduicuoVZZx5cn63n+d7i6pqltddFdC8WROzLVuhbfu3XHclcBdoomzoKM0imVIMycWQXASm7ivH1OvRG8GZrbXsEV3vEwuDp177XFu3aZ9l23ao+QYq3tq3n6TXPtOMwZA5JNEPBneRcHNGSwY1fWQup5Skcue7FVRUdDBpUxt19y1l9JmFjOpmV+W2hgD2DCu0eBKW21YAQnvckoXltq9QBkySJOmPQBj4raqqK4BcYOm39qtPrDsASZJuBm4GKCgoOLajPQ4YdAby7NkEbNXEW5rJcmriNmTREa6JIMsK+i4sl870DLwtRyZuqzxV3Db/NsZvdVLODZS1OEm/YRTJtz5BIBTnhUeXYq4OEjeolF5ZytlTCrs8TtjvZ/6rL7Hh689Jzs7hinsfJXfg4CO/eEBVVALLduGZXQOqiuvcEhwTckRsrUAg6NUIcdsL2GO5jZhA8WpC1pkQt0mFVlp3+rrtXOFAjC/f3Ertima8kkLnQAe331ROiuMEThIkxzThurtCE7O7K2D3ei1pEwCSJlrTB8KAs7U+fYBmYezFAlZVFIjHtVJSOh3o9UecvbNbMVogrVRr/aftvy0a1CzgrZXQvAmaNsGutbDpg2+9366J3OyRmjU8p1z7GxwrF+1eTobTwj9uGMvry3fylw83MyloQPmkhq3LdjPpsrJucVWWZYWO3QGyxqRDC6Q4TMjN2u9RMGFcF+L2+4MkSV8CXblk3IX2PJAMnAyMBd6WJKkE6ErJqF2sQ1XVF4AXAMaMGdPlPt83ilwldNiryWnvxG424LQY8OoVnIqKvz3SpbeEMz2T6jUrDuv4qqry/vb3+fM3D3HVl2Gm1fSDiZBzz30knTuV+UvqWfJ6JUkx8BVY+PEto0hxHujZoqoqlUu/4auXnyPk8zL2gks4ZcaVGM1H5wUTawrQ8d52orVezP3dJF/UX2RCFggE3wtOzKfCXobdaEcn6QibQAlGAM1yG40r2JLN+Na2oCjqQQuxHw6qqrJlyS7mvb2NeDhOhU1h2mUDuHRc/okVW6uq0FkL9SuhfoXW714Psva5Y7Rp1sJhl0L2cMgaDhmDtCzC3T0UWUb2eJA7OxNNW1b8fpRgECUU0vpgINEHUYOhfcuRCKoso8qyJmLj8X3Lsqwlk+qKPSL3P3ujEZ3Fgs5qRbJa0Vmt6CwWJJsVnSXx2qZt0ztd6F1O9C4XepcLXaLXO51IR1OOymSDrKFa4+J96yN+beKheaMmeHdXwLo3YMX/07YbrNrfKadcE715YzWr7wnyPy1JElePK+SUklR+/dZaVlb7uDio45NnKygpT2fSZWU4ko9+4srTFEKJq6hOLVt6is2klQECvFbNOmw3Cbfk7wuqqp5xsG2SJP0EeE9VVRVYLkmSAqShWWq/7daTBzQe04H2IorcJTQ7vmJAhzapk+2y0qLKOAFvS+gg4jadQGcH8Wj0OxM3eaNeHljyABtWzObhD2TSWyHpNBcyEEsu4/E/L8O8zY9OL1E8o5hzziju8ji+tla+fPFZqlYtJ7OklIvvvI/M4n5Hdb1KVMY3rw7f/Hp0Zj3Jl5VhK884sZ4TBALB9xohbnsBOklHkimJgDWCEtZcXt1W7YZoSDKiyCqBzghJRzlr2tbo56tXt9Bc5aVBL9NQZuXB60eRn9J7rY7dRjSQELEroH6V1gc1t0qMNk0UjbsZskZoIim19L+Kg1WiUeLNLcSbm/e1lkTf0bFXwMqdnXsT8xwUvR6d3Z4Qlba9TZ+WitGWj85kBqMBSW9A0uvBoEcyGPct6w1IBr1W/keRUWXlwF6WNQuvLKPG4yjhEGoorAnrcIh4S0tiOYwaDGp9JPKdw9Y5HHtFrz41FUN6+oEtQ+t15kMIL7MD8kZrbe+HrGjuzLvWQuMara3+N8Se07ZbUyB/HOSfpPU55b3awt4dlKQ7ePcn4/nbV9t5Zu42TjNbkda3Ure5nXEXlDDs1LyjmhxrS8QVhu3adyLFbkLxaet8SdpnKiy3fYYPgNOAeZIklQEmoBX4CHhdkqQn0BJK9QeW99gojzOFzkLq7RKxnVrui0yXhXpPhH6ApzVEV8E8rvRMALytLaTkdJ0xeW3zWu6YfxtDFzXw2JcyJpNEzgO/wn7Rj6j//Td8M3Mb1oBCMMfCTT8fTUpyF9ZaRWHtF5+y6I1XUGSFKdf8D6POmY5Of+T3MFVVCW9so/PjKuTOCNaR6bjPK0HvOLqsygKBQNBTCHHbS3CanAQsHahxBTUaxWVN1JW1a38iX1v4iMVtLCqz8pMaVn9RSwSVBbY4084r4YFTS9H31ZiZUAfsXAq130DtEk0AKXFtW1oZlJ0JuaM1C1/G4CNyaVUVhXhLK7GGemL19UTr64k1NOwnZuWOjgPfaDRiSEvDkJKC3u3GlJ+P3u3uuiW70TscSDYbktHYK2fL1Xgc2edD8Xg0y/Pe5kX2dCJ7PCgeD/HOTuTWNiJbtxJvawP5wOSqOqcTQ3o6xqwsjLm5WsvJ2btsSE870JVap4P0Mq0Nv0xbp8iaS3P9Ci17c91yqJyd2N+gWeALTobCCVA4Hmwpx/hTOv4Y9Tp+M62MKWXp/PqttayQQ9xgcbHo7W1sXbqbU68eQEah84iO2VbvR9JJ+BLPt8l2E+FERnePw4ZRp2LSi4ffPsJLwEuSJG0AosB1CSvuRkmS3gY2oZUI+tmJkCl5D4XOQjbYJdSQghqLke208HWjl6kGPd6D5MNwpmcA4G1pOkDcyorMyxtf5pVvnuLnH8cZtl3FXpZKzt9fJZKaz2PPrOIiRcWlShRPL+Scs7u2wLbV7+Tz5/9GY+VmCoeXc8ZNP8OdeQRJAL9FrDlI56wdRLZ1YsyykXLzMMwl7qM6lkAgEPQ0Qtz2EpwmJ16LDlCQA4G94jZu1R7svW0hcvof/s2mZn0r89/Yir89wnpTnJ15Jv509RiG5vaxurXBdqheADWLoHaxFq+JqtV5zR0NE34JBeMhbwxYD/35KeEw0dpaojW1xOrrNAFb30AsIWTVaHS//fXpaRgzNWFmLR+JISMDY0YGhm81vdvds7Gu3YxkMGBITobk5MN+jyrLyB0dxFtbibe0aBMCLftabPduwnPnIre17X8uo3E/sWvMz8dUVIipqAhTYeE+y69Or7mPZwyCUT/U1gXb94ndnctg5Uuw9FlA0tyfiyZB0UQoOKVPid3Rhcl8+stJPDBrE0+sqOOMPAfj2sO8+8hKhk3NY9wFJZgsh/fT39YYwJ1pY2c4jkmvw27SE/T6QAc+qxnHQepqCr5/qKoaBa45yLY/An88viPqHRQ5i/DsqXXb3k6Wy0JLIEJSasphiNvm/dY3B5v53cI7CS5Zyl9nydhCkHnDeSTf+icWrt3N3McWkBGGYLKR0mInOV0I23gsxvIP3mbZ++9gstk4+2e/YdCkqUc1EapE4njn1uFf1IBk0uE+vwT7yTlI+t43qSoQCASHi3gy6SU4TU68Zk0AKYEALmsSAMGEAdfbenjlgILeKIvermTbymZ8JvjYEeGMyQX89eyBWIy9rOzM0RALa2Kl6muomgeNawFVSzaUfxIMuUizzOWOPmg5GVVVibe0EK2qJlpTTaSqimh1DdGqKmKNjVpcbgKdy4UpNxdz//44pk7FmJeLKS8PY14expwcdBaRYONwkPR6zXqdlgYDD15nUQmFiDU2Emto2NcaG4k2NBD+6qv9xa8kYczJwVRcrInd4iJMRUWYi4sxZGUh2VI0S33Zmdr+8Qg0rNYmQmoWHih2i6dAv6madfcYxFgfTxxmA4/OGM5pgzK4Y2YFy80yt+SmU/F1PTtWtzDp8v6UjEw/5ANxW4OfzGIn6wJRku2aJ4Hs86I3g99gxG7s2+7eAkGaNY2w3QBEie9uINuVhqqCxW3G09K1uHUkp6LT6/G27hO38+vmc8/8Ozn/Cw/nLFMwpZrIfe5p5OGn8OjfV2Ne7yFZkig8O59cX4x4U/CA49ZtrODLfzxLe2M9gyaeyqnX/Qib88gnrFVVJbSuhc5Pq1G8UWxjMnGdVSRckAUCQZ9AiNtegtPspDOhkxS/H3eGZknyRWXsLtMhywFpCaN2883MbURCcZba4lSm6PjTZWOYUpZ+rId/7FAUaNqgCdmqrzVX43hIczXNGwun3gklp0LuKK0czX8Qb2sjUllJeOtWIlsriWzfTrSqCiUQ2LuPZLViKi7COnIkrosvwpwQS8b8fPRJScfrSgWAzmrF3K8f5n5du+LJ/gDR2hptMqKmhmh1NdGaGjyrV6ME9z0MSnuOU1aGuaw/lrIyzGVlGApPgcJTYMqtCbG7ShO71Qtg+Quw5GkwWLQJkn6nQ+npWnbsXugefjicOSSL8nw3t75bwUOVTUwfmspJbRKfPb+BomGpTLqiDGdq10I+Go7jawszeEIO7a2tJNu0B1/F60NvVAjoDThMIt5W0LeRJAlbsgtoQa7fTlZpnrbBYcBb69Oy0f/H74NOrycpNQ1PcxNROcoTq57gq0WvcvcHMjnN4J46lMzH/8mi7T7m3LmQnCBEU01c9fNyMrIcdH5cRWRrx95jBzo7mP/qS2xe+DXO9EwuvuNeisvHHNX1RGo8eD6tJrrThzHXQeo1gzAXHFm4gkAgEPRmhLjtJbhMLurMmsVQCQRwJtySPaEYKWlWvG0Ht9x6WoLMe20r9Vs68CfpecseZsTgND69dASp38cSP8F22D4XKj/TRO2eBFDpA2H0dVAyFYomgHmf8FSiUaKVm/eJ2K1bCVdWIre27t1Hn56GubQU14UXYiouxlxSjKm4GENmZp9yG+7L6B12rEOGYB0yZL/1e63xe0Rv1Q7ClZX458/H8957+96fkoK5f/99onfAAMzjfoFuym1aOaLab7T/vR1z4fO7tObM1Sy6/U7XJlK+Zy7MGU4LL18/lpcX1/DI7M0st5m5/dQc6hc38cb9yzn5ghKGTT0w4VR7ozYBlJrnoKO2kRS7Jm5lrwedIY5fkrAbRaZkQd/HlZkNtBBvqCFrtDYLHbXoiIZlIsE4FvuBE6vOtAyad+/k6llXkDN/K3/+QsZk0JHzx1uRz76aB19eh22Dlwwk8k/L4fwZA/bWj9W7zagxBTkQYcM3c1n05r+IRSKcfPHlnHThpUdV3ifWGsI7u5rQxjZ0ThPJl/THNjpT1KwVCAR9DiFuewkus4s1Jq10i+L3k2Q2IEmauC1Ms9C4rfOA98iywrov61j+cTWqBEuTVZZJQe44ZxA3TCjqlcmIukRVoWWLJmYr52hux6oCtjTNclZyqtacOQAokQiRLVsIbdhAeMNGwhs3EtmxY2/CIslk0tyIJ0/eJ2DKyjCkpvbUFQqOMZIkYUzEO9vHnbTftnhbG5Ft2zQLfmUlkcptdM6cibrH0qvXY+7XD8vgwViGDMEy5HIsU/6ALtqmidztc2HTLFjzqpZ5One0Vu94wDnfG6uuTidx48RixhWn8Is31vDrdVXccloRZXUxFr2zjcrlu5l67SDS8vZZYlvrtazIqTl22gNRBuVo1h3F06FZbiWFDJEpWXACkJE7AKggsnsn2U7N08GXiPLxtoYOELeqqtJhDtOyYzsXbqhlVKWKrSyDnL+/yueNOubftZDCkEQ82cRlPx1Jdv7+HkIGtzYp/fGDj7CjeiUFQ0dw+o0/ISUn74jHLgdi+ObuxL90F5JBwjmtEMekXHSmPhCmJBAIBF0gxG0vwWV2EUyEu8g+LzqdhNNixBOK4Uy1sW15E7KsoNdrFsbmWi9fv7qF1jo/craF/xfsID3VzntXjv9+JI2KhTV30G1zNFHbuVNbnzUcJv1Wi5PMGYUSjxPZWkn40wWamN24ici2bRDXMiDrU1KwDBuKY+pULAMHYB4wAFNBwdHVWhX0SQypqRhSU7GffPLedaqiEGtoILxlC+FNmwhv3Ih/4UI8H3yg7aDTYSopxjpkCJbBZ2A5/RYs7ii6hkWw7XOYe7/Wkos0kTvgbC0xVReu8b2JobkuZv18Ivd+tJG/La1hVL6LWy8vZfOntbzz0ApG/qCAsecUYTDpaW/wY7ToSUq10B6MMXIIeAAAIABJREFUkpJwS5Y9HgwmFb8qUywst4ITgILc4YSN79DZVEeZ1YDVqKcNGRfgaQntl4XcF/XxwJL7idUvJy/sZsQOhYz/uZjYzXdx9z8rSN0aJA+J4tNyOeuS/uj0+3sNhQN+Vs2fRRGlqP445/7iVgaMn3zEk9VqTMG/uAHv13WoERn72Cyc0wrRJ4m4WoFA0LcRCqCX4DK7CCY8iJVOzZXWbdPEbVK+BVUFf3sYm9PMsllVVMytw+QwUlFoYI6ng8vG5nHP+UOwm3vxnzTUAVs/g82ztPjZWBAMVs3lc+JvUEunEfNLhNasIfTyZ4TWPUp461aIabV/9W43lqFDcUyZjGXIEKxDh2qJg74HljNB70LS6TDl52PKz8c5bRqQcG1ubia8cSPhjZrgDSxegufDj7Q36fWYB5RhHXEq1gHXYUtqw9i5BGnFi1piKosL+v9AE7qlZ2iveyF2s4HHLh3BpLJ07npvPTe3bOaBGYNJ2uJj9We17FjdzNSrB9LWGCA1x46sqHhCMZITbsmK34/erRBQoqLGreCEoDB1EC12UNrakCSJbJeFRjmOC/bLmFzRUsEdc3/NxDm7GLPFzvoCibS/Ps4X5iGsuGcJJREdpJi59KcjyMjb31qrqiqbF81j/r9fRPHHKSooZeqMG3FPKD6isaqySnBVE965O5E9ESwDU3CdXYQxU0xECQSCE4MeUUKSJL0EnAc0q6o6NLEuBXgLKAJqgMtUVe2iaGjfxG12E0pMqCqedgBc1oTlNk1zg9r8zS4qVzThawvjGOzmqdYWomF48oqRTB/ZdaH4HsffDFs+hk0faRlqlbgWwzjyKpTC0wgHkglt2EzoldUE176E3KIJe8lmwzpsGKnXX49l6FAsQ4ZgzM0RQlZwzJAkCWNmJsbMTJJOO23v+lhC8IYqKgivW4f3o1l0JhKS6V0uLMMvwJpnx6ZvwrL5K/Tr39ESnhVNhEEXaM3R+5K6XTAih/J8N794cw2/er+Cy8bkcfPPhrHkrW188Jc1SDqJwROy8YRiqCqk2DSrtOwPostQ8csR7CbxwCzo+xQ6C9luA7NH+95nuSzs8kcY5TThbQmhqAovbXiJd798il99FKNwF4QnFoMvyBPzO0lvq6IIHWXT8jj9wtIDrLWtdbV89fLz1G2sIKu0jNNv/wnxl5vgwITJB0VVVEIVLXi/qCXeFsaYn0Typf2xlB5+yTaBQCDoC/SUme+fwNPAv7617g5grqqqj0iSdEfi9e09MLYewWV2ETGBiori0TS9y2qkMxjDmaolj1j1WS2uDCvNY1w8tn0X5QVunrqinPyUXlaOo7Nun6DduQRQIaWE+LAfEYwUEarqIPjKWsKb79xrlTUWFGA/5RRs5eVYR47E3L+/cC0W9Ar2xPImTZ0KaDV7Izt2EFq3jtC6dYTXraN10Q4tdlyyYC46CVueGVtLNdaNv8Vo+61WXmjwdE3oJmX28BXtIz/Fxts/PoUnv9zGM/O2s7K2g7/cNILAqjbWzq0jp7+bjqBW2znFYUaJRlGjMTAqRJWYsNwKTggcJgchuw61U/suZLkszN/agjMtmdZmLzfPvgHL3JU8+rmMWacj84E7eUtXBm8/QG5DG+acYmb8ZMR+Me2guSAveed11sz5GLPVxrQf3cKw036ApNOx29WJ3HnoEoCqqhLe1Ibn81riTUGMWTZSfzgYy6AUMRksEAhOSHpEPaiqukCSpKL/WD0dODWx/AowjxNJ3JpcqJKEagTFqyWPclmNNHSEcKRYKB6RhuI08mTjbrbvaOdnU/vxqzPKMOp7SZbf9mrY+D5s/gga1wAQtw8i6LicQIuV0Oc7iGz/EADJbE5YZa/DWl6OdcQIkexJ8L1B0uuxlJVhKSsj+dJLAZB9PkIVFYTWriW0ajWdq9bSEYwBWRjTHNjSarHN/QPW9DswDT0JachFMOh8cGb37MUARr2O3545gPGlqfz6rbVc+v+Wcte5g7jpzxMxWgysqNEm21JsJhSfD4BYIoRCZEsWnCioDgOmBk3cXjAih/dWN1AtNUNziAmLVnDyZhVr/yyC9/2d22a30L/Ogx6JtCKJK39/yn7WWlVR2DDvSxa+8Qohn5cRZ5zFhMuvxZq0L3ZX7zIje6IHH4+qEtnWiefzGmL1fgxpVlKuHIB1WLrIgCwQCE5oepNpLFNV1V0AqqrukiQp42A7SpJ0M3AzQEFBwXEa3rHFZdbi8+ImFdnnBSDNYaaqNcAFzyxieJ6bd1fW4LYZefXGcUwoTevJ4Wp4d2mCdsO70LCKWEBHMD6AoP80gjU+onUNwAJ0NhvWUaNwnn8+trFjsQ4dgmQSSS0EfQd9UhKOCRNwTJgAgBqPE968heCqlQRXrsS/ajWeLYkkaPNqsaU8hC3jXuwjB2KaNANp6MWQlNWTl8D4fmnM/uVkfvvOOu75aCOLd7Typ0tG0B7QHrCT7UZkrxYyEXVooRJJJlEHWnBiYHTZsYaiqLEY40vd9B/wBU2bjBRHzuSkrTqSr7+Ifw+8jLp/1jMyqseU7kAmleTU2H7CtrFyC1+9/DxNVdvIHTiYqdffT2bxgXW99W4zkR0HVknYI2q9c3cSrfWid5u1sj6jMpH0QtQKBAJBbxK3h42qqi8ALwCMGTNG7eHhdAtOszZjGzNpCVsAfn5aKRlOM3M3N/Pm8p1MHZDBn2YM79natcF22PQBbHiP2KbFBJpMBL1ZBFsGEGv1AR50SQq20aNxX3EVtpPGYhk0SLgYC04oJIMB67ChWIcNJfX661FVlWhVFcGVqzTBu2wpvtUtsHoX+tf/ij3zT9iHFGI781JMU67tsWRUKXYT//jhGF76pppHZm/hnKcWMrksbe82pVWz3EYcdkARllvBCYM9JRWd2sH6TXN4aNvzTPpmBxO2j2XLQB2df/gLD281MHxOM2XoGX5WAePPL+HdBz7C29IEQKCzg4Wv/5ON8+fiSE7hnJ//loETphzUdVjvNiN7o6iyiqSXNPfjrR145+4kVudD7zLhnt4P+9gsJEMv8eASCASCXkBvUhxNkiRlJ6y22UBzTw/oeGLUGbEbbERMEZREsppUh5mfnlrKT08tJRpXMPXUDSzsha2fIq94i+DypQR2GQi0JhHt0GIH9W4rtrFjSBk7FtvYsZjLypD0ooaeQLAHSZIw9+uHuV8/ki+/DIBofT3BpUsJzP+CwLLleD9thk+fwWh/CltZBvbJ07BN/x+MOfnHdaw6ncRNk0oYU5TCLa+v5o3ldQAk20zEvZq4DTkdgFfE3ApOGNxZecB2nnznDq5eIlPaALXl2v//ZwslTpFVLBlWpt88fG9srTMtnZ0b1rFy1nssmfkGcizGSdNnMO7iyzFZrN95PoPbAirIngixXX68X9URa/CjTzbjvqgU++hMIWoFAoGgC3qTuP0IuA54JNF/2LPDOf64zW4ipk6UYOiAbcdd2Mox1M1zCH36IoEVawg06gm1m0B1I1nM2MaehHv8eOzjT9GSP+nETVYgOBJMeXmYZszAPWOGZtndvp3AnHcJzv8c38ZdeNa8CU++iSnDhv2ksdimXYj95FPQu46PVXdkvptPfjGJ33+wgfqOIBajHm8iZCKQZEeIW8GJRG7+UALM4zcz4+hNerIf/B3uiRey495lZCo6ys8uZNx5xXtr0QM4MzLxd7Qz/9WXKBk1llN/eBPJ2YdX2UDv1jy0Wp5bh+yNYki1kDyjP7byDKTekmtDIBAIeiE9VQroDbTkUWmSJNUD96CJ2rclSboR2Alc2hNj60mcZhdBs4TiP3SGxGOBqihEFs8iMOvfBFatJ7gb1LgOJCvWgf1IvXQa9vGnYB05Ep2ImRUIug1JkjD374+5/52k3HInajRC+Ks3CM55h8C6Sjo/+5qOj+eDBNbBA7BPnYZj4gQsw4YdUy8Jl9XI364s3/taTlhu/U7NHVm4JQtOFLJHncl26WlspTnkPvsKpvx8XMDp1w8iLc9BWt6B8eclo8bSsGUTY867iJJRY4/ofIZ0K+hAMutJuXwA1uHpIqZWIBAIDoOeypZ85UE2nX5cB9LLcJld+C065NaDZ0jsbmSvl8CXH+P/5C0Ca7cRD2ghzKY0G+4fjMZ+5gxsp4xH73Qe4kgCgaC7kExmrGddj/Ws60mNhVA3fkJozr8IrFiLv3E9rU9vpfXpp9E5k7CPn4Bj4gTsEydizDq2SakUr2a59TntENRKpAgEJwLGwlJKv/wSQ2bmfjkkBp588Izn2aUDuOwPDx3V+QzJFrLvOAmdwySyHwsEAsER0Jvckk943GY3PrOEEo4fs3OoikJ482YCX8/F/8XHhCrrQAWdUcFeYscxeQr2i3+MsXjgMRuDQCA4AoxWpJEzsI2cgS3QSvr6d4kv+TeBiu0EmsIEFs3F99lnAJhK++GYMBH7xInYxo5BZ7F061DkzhaQVNosRgiC0yQmvQQnDsbcw3Mp7i70zh5MHikQCATfU4S47UW4zC68ZlAiMqqqdlsBdrmzE/833xBYuAj//K+ROzwAWJKjpJZbcJz2A6zn/wQps6xbzicQCI4R9jQ4+X8xnPy/uHZvwLXuDdR1bxFp7CDQlkLA46Xj9ddpf+UVJLMZ25gxOKZMwXHqFEzdUDZNaW9Fb1LYRZw0axomvQhPEAgEAoFA0HsQ4rYX4TQ5aTYDKqihEJLNdlTHUVWVyObN+ObNI7BgIaGKClAU9GawZwaxDwLH1B9gmHwDFJwC3SSiBQLBcSRrKGT9EemMe7Fsn4tl3eukbp2NMjxGMFaGP1RKoLKOpoceoumhhzAVF+8VurZRo46q1rTc2Y7OqNIoB8ix53T/NQkEAoFAIBD8Fwhx24twm93UJJ43lUAA3RGIWyUcJrB0Kf6v5+GfN494UxNIEpZsK2mDfTiygliGj0QafS0MvRjMBya/EAgE30P0RhhwltaC7eg2zMSx+hUcuz+BiVail5yJP1CCv2InHa+9Rvs//4nObsc+caImdidPwpCWdlinkr2d6I0Ku2M+BiaXHOMLEwgEAoFAIDgyhLjtRbjMLoKJEBvZ78eQnv6d+8eam/HPn4//63kElixBDYXQWa3YB6TiGKjiSN6NISUFRlwL5ddChoijFQj6NLYUOOlHMPYm2LUWVv8LU8U7pEQ/IKW8P8rV1xEIFeNftgb//AX45swBwDJsmCZ0p0zBMmTwQUt7KV4fOpPKrnAbU+0HT6QjEAgEAoFA0BMIcduLcJldhPdYbn2+A7arqkpkyxZ8X3+N/+t5hNevB8CQnYV78lAczjpsrEZnqIbSaVB+DZSdBQYRFycQnFBIEuSUa+0HD8LGD2D1K+gW3k+SzkjSsHNQf/h7IpEc/AsX4Js3j9ZnnqH16afRp6fhmDwZx5Qp2MdPQO/YV+5H9gfApBJVYmQLcdunkCRpJPAcYAHiwE9VVV0uackfngTOAYLA9aqqru65kQoEAoFAcHCEuO1FuM1ugmYt/lXpbNX6SITg0qWaoJ03n/ju3SBJWIcPJ/1HV+NIbsTc9AlSZDUkF0P53TDyKnCKeDiBQACY7FB+tdaat8Dqf8G6N5A2fYjFVYCl/BrSrnqCuGzFv2AB/vnz8X3+BZ6Z7yEZjdjGjcMx9VSSpk5FCYaJZmp1dXMc4jemj/En4D5VVWdLknRO4vWpwNlA/0QbB/w90QsEAoFA0OsQ4rYX4TQ7CSWMrN5PPqb9rfcILF68N7mUY8J4HD/7XxxZIQzb34HaxyBghEHnw5gboHAiHMSdUCAQCMgYCGc9BGfcA1s+1oTuvIdg/iMY+v8A95gbcV/wOKqsEFyzRovh/+ormh54kKYHHgTAX6L9SAnLbZ9DBfbUdnIBjYnl6cC/VFVVgaWSJLklScpWVXVXTwxSIBAIBILvQojbXoTL5MJn1ZY7P5yNITsb90UX4pg6FVu/NHQbXoe1d8LGNkgugjPuhZHXgOO7Y3MFAoFgPwxmGHqJ1tqrNZG75t9Q+Rm4C5BGX4+9/FrsJ91G5u23Eamqxv/1VwTee47N/RUgSrZDiNs+xq+AOZIkPQ7ogPGJ9blA3bf2q0+sE+JWIBAIBL0OIW57ES6zizaXRMXZIaaf/wjmyRcjbf0UVj0Oc+eBpIeB58DoG6BkqrDSCgSC/56UYs2Se+qdmjV35Usw9374+mHNK2TsjZiLJ2AuuZHU+L94zargMJhwmpyHPragVyFJ0pdAVheb7gJOB36tqupMSZIuA14EzgC6qhWnHuT4NwM3AxR0Q11lgUAgEAiOFCFuexEGnQGHwUpNsRfL7vfhr38AfxM482Dq77UEUU5hLREIBMcAg0krEzb0YmiphFUvw9rXYON7kFYGY/4H/E00OjKF1fZ7iqqqZxxsmyRJ/wJ+mXj5DvCPxHI9kP+tXfPY57L8n8d/AXgBYMyYMV0KYIFAIBAIjiXC9NfLcJmcdOr1sO1zyBkFV70Nv6qAKbcKYSsQCI4P6WVw1sPwmy0w/RmtLvZnd4BvF7uIi3jbvkkjMCWxfBqwLbH8EfBDSeNkwCPibQUCgUDQWxGW216Gy5qKJz8Vrn4c3PmHfoNAIBAcK0w2zWOk/BpoXAsb32NXy+eMFOK2L/Ij4ElJkgxAmIR7MfApWhmg7WilgG7omeEJBAKBQHBohLjtZbhMLjzxgBC2AoGgd5EzkkB6f7yvvy/KAPVBVFVdBIzuYr0K/Oz4j0ggEAgEgiNHuCX3MlxmF56Ip6eH8f/Zu+/wOKqz4cO/s0W9F6utqmXL3ZIt2QYM2IApBmwgBEwvAb8Q+EhISINADG8gISTkDSEJkJBgijE9JrRQXDDFRbbk3mTJ6rYsyepty/n+2JUsWZKrpN2Vn9vXXrszc2bmmbGkmWfPmXOEEKKXiibno5bSLFkIIYQQnkiSWw8jya0QwlNVNjsftZTkVgghhBCeSJJbDxPqG0pDRwMO7XB3KEII0UNlkzO5lWbJQgghhPBEktx6mFCfUBzaQWNHo7tDEUKIHiqaKzAZTET5R7k7FCGEEEKIXiS59TChvqEANLQ3uDkSIYToqbK5ktiAWAxKLh1CCCGE8DzSW7KHCfMNA6C+o55EpMdkb6W1xqZt2Bw27A47NocNBw4c2oHW2vmO871r3hHLHfTz2bVu9+10p1Aopfr83FVGqa7pXmUUGDBgUAZMBpPzXZkwGAwYlRGjMmJQrs+GbtPdPovhqbKpUpokCyGEEMJjeVxyq5S6GPgTYAT+obX+rZtDGlKdNbd17XVujsQzaa3pcHTQYXe+rA4r7fZ257SjA6u9n2nXOt2nrXYrHY6OrvJWuxWbtmF1WA8npd0SVKvDubwzWbU5bF3LbQ4bdm3v8fl0pVB9JrydibLZYD78Mpp7TJuMpp7L+yjTa7rbPB+jD75G38Mvky++Bte7seerM6EXPWmtabO30WxtptnaTJO1ieYO5+eSxhJmJsx0d4hCCCGEEH3yqORWKWUE/gLMAcqA9Uqp97XW290b2dDpTG4fXP0gYX5hBJoCCTQHEmAOINDs+mwK6DltDugqd+TyobyJd2gHbbY2Wm2ttNnbaLO19ZhutbUenra1dZVptbUec53O8q221gGJVaHwMfrgY/BxvrteZoMZozJiMpgwGUwYlREfgw8mkwmjwYhJueYbjM5kzFWms3zn8l7zXYmdAQNKKednZUDR7bNSXTWmXWX6KN9ZrnN+5zytNZ3/gK5p5wSH57tqfTs/d+pav1stst1hx67tOLTDWfusHdj14Xmdy+3ajt1h77Hcru04HD3Ldyb/Voe1x8tmd85rsbU459mPWN65jusLiYHgY/DpM+ntTIr9jH74GH263v1N/r1efia/Pud3fxkNxgGJ91isDist1haarE00dTR1JaddCeoRn5s6mmi2NdPc0XN5s7X5qF/OjA4fPSTHI4QQQghxojwquQWmAQVa60IApdRSYD5w2iS3ySHJfD/z+1Q0VdBsbabF2kKLrYVDTYe6pputzcd9g29UxsOJsCsB9jf795k0B5oDMSoj7fb2noloP0nmkYlsu739hI/XqIw9kgQ/kx/+Rud7lE+Uc57Rr8dyX6Nvj6TUbDA757mSVbPxcA1e17SrvK/RF7PRjEmZpObOS2mtsWv74eTXfvi93d5Ou6Oddlu78/ORrxOY39jRSLutnTa782e78+f9RGvlfQw+fSfBZn/8jb3nBZgC8DP50WHvoMXWQqu11flua+36e9D9c2dCery/fwGmAILMQQT6BBJkDiLAHECkf2TX34Agc1DXe4DZWTbIx/k52BxMYrA8LiGEEEIIz+RpyW0CUNptugyYfmQhpdRCYKFrskkptcv1OQqoHtQIB0YoMFCD2XrLMZ+M/s7TcD7m/vR3zAP5s+RpBur/2ZvOkTt/tt11njzt9znZ3QEMBxs2bKhWShW7Jj3t/7g/cm0+PnJtPkyuzSfPm86RXJvd77ivzZ6W3PZVlaZ7zdD6BeCFXisrlau1zh6MwAaSUuoFrfXCY5c8rm15xTGfjP7O03A+5v70d8wD+bPkaQbq/9mbzpE7f7bddZ5Ox9/n04HWOrrzs7f8H8u1+fjItfkwuTaf0na85hzJtdm7eFq3pmXQo4tgC1DhplgG03/cHYCXkPN0bHKOjk3O0fGR8yROd/I7cHzkPB2bnKNjk3N0fOQ8nSBPS27XA6OUUqlKKR9gAfC+m2MacFpr+UE9DnKejk3O0bHJOTo+cp7E6U5+B46PnKdjk3N0bHKOjo+cpxPnUc2StdY2pdS9wH9xDgX0T631thPYRK+myqcBOebTgxzz6UGOWQxHp+P/sRzz6UGO+fQgx+xFVOeQIEIIIYQQQgghhLfytGbJQgghhBBCCCHECZPkVgghhBBCCCGE15PkVgghhBBCCCGE15PkVgghhBBCCCGE15PkVgghhBBCCCGE15PkVgghhBBCCCGE15PkVgghhBBCCCGE15PkVgghhBBCCCGE15PkVgghhBBCCCGE15PkVgghhBBCCCGE15PkVgghhBBCCCGE15PkVgghhBBCCCGE15PkVgghhBBCCCGE15PkVgghhBBCCCGE15PkVgghhBBCCCGE15PkVgghhBBCCCGE15PkVgghhBBCCCGE15PkVgghhBBCCCGE15PkVgghhBBCCCGE15PkVgghhBBCCCGE15PkVgghhBBCCCGE15PkVgghhBBCCCGE15PkVgghhBBCCCGE15PkVgghhBBCCCGE15PkVgghhBBCCCGE15PkVgghhBBCCCGE15PkVgghhBBCCCGE15PkVgghhBBCCCGE15PkVgghhBBCCCGE15PkVgghhBBCCCGE15PkVgghhBBCCCGE15PkVgghhBBCCCGE15PkVgghhBBCCCGE15PkVgg3UEplKKXylFKNSqn73B3P0SilnlNKPTxE+0pRSmmllGko9ieEEEIMFE+5tne/biulZimlytwVixBDTW4ghXCPnwIrtdZZ7g7kWLTWdw3WtpVS+4A7tNafD9Y+hBBCiCEy5Nd2pdStOK+jMzvnHe26LdddMdxJza0QQ6hbjWQysM2dsQghhBDi1Mm1XQjPIcmtEMdJKfUzpVS5q7nRLqXU+a75Lymlft2tXI8mQEqpfa51NwPNSqnlwGzgWaVUk1JqtFLqUldTpgalVKlSatER+56plPpGKVXnWn6ra76vUur3SqkSpdQBV1Mk/37iH6mUWq6UqlFKVSulXlNKhbmWXeuKpfPVrpRaeeTxdR6bUuqnSqkqpVSlUuoKpdRcpdRupVStUurBbvvs99wopV4BkoD/uPb5027h3uA6pmql1EMn/J8lhBBCHAdvvrYrpcYCzwFnuPZZ11fs3cof7borxLAgya0Qx0EplQHcC+RorYOBi4B9J7CJ64BLgTCt9XnAauBerXWQ1no30AzcDIS5yt2tlLrCte8k4GPgz0A0kAnku7b7JDDaNS8dSAAe6e8wgN8A8cBYIBFYBKC1fsMVS5BreSHwej/biQX8uu3r78CNwFTgbOARpVTasU6I1vomoAS43LXv33VbPBPIAM53bW/ssbYnhBBCnAhvv7ZrrXcAdwHfuvYZdrRgj3HdFWJYkORWiONjB3yBcUops9Z6n9Z67wms/4zWulRr3drXQq31Sq31Fq21Q2u9GWdiea5r8Q3A51rr17XWVq11jdY6XymlgDuB+7XWtVrrRuAJYEE/+yjQWn+mtW7XWh8Enu62DwCUUgZgCc5nhp7v51iswONaayuwFIgC/qS1btRab8PZJGvScZ+Zvj2qtW7VWm8CNgGTT3F7QgghxJG8/touhOhJklshjoPWugD4Ic6aziql1FKlVPwJbKL0aAuVUtOVUiuUUgeVUvU4v4mNci1OBPq62EYDAcAGV5OmOuAT1/y+9jHCFXe5UqoBeLXbPjo9DgQDR+vlsUZrbXd97rygH+i2vBUIOsr6x2N/t88tA7A9IYQQoofhcG0XQvQkya0Qx0lrvcTVG2EyoHE2GwJns6OAbkVj+1r9GJtfArwPJGqtQ3E+Q6Ncy0qBkX2sU40zkRyvtQ5zvUJdTYv78htXHJO01iE4mxJ37gOl1AKcTayudtXKDoRjnZtjnRchhBBi0AyDa/uJXkfluiuGNUluhTgOyjl23XlKKV+gDeeFp7P2Mh+Yq5SKUErF4vwW+EQFA7Va6zal1DTg+m7LXgMuUEpdo5QyKaUilVKZWmsHzudd/6iUGuGKM0EpddFR9tEE1CmlEoCfdDu+LJzP/VzharI8UI51bg4Ax3w+VwghhBhow+TafgCwKKV8jjMmue6KYU2SWyGOjy/wW5zfqO4HRgCdvQK/gvO50H3Ap8AbJ7H97wOPKaUacXYa8WbnAq11CTAX+DFQi/OC2/kM6s+AAmCNq6nx5zg7YurLo8AUoB74EHi327L5QDjwlTrcY/LHJ3EcRzrWufkN8EtX06sHBmB/QgghxPHChIbrAAAgAElEQVQaDtf25Tj7utivlKo+jpjkuiuGNaW1tE4QQgghhBBCCOHdpOZWCCGEEEIIIYTXk+RWCCGEEAAopX6glNqqlNqmlPqha16EUuozpdQe13u4u+MUQggh+iLJrRBCCCFQSk3AOb7mNJzP/l2mlBoF/Bz4Qms9CvjCNS2EEEJ4HEluhRBCCAEwFlijtW7RWtuAVcCVODucW+wqsxi4wk3xCSGEEEdlcncApyoqKkqnpKS4OwwhhBDDwIYNG6q11tHujsNNtgKPK6UicQ6JMhfIBWK01pUAWuvKzuFJjqSUWggsBAgMDJw6ZsyYAQ/QVtOG7rBjCDQP+LbFqVFmAwb/w7eVjiYr2nF8nZYqAxiCDo9k42izoTscAx6jR1FgDO579B57Q8cQBzP8GXyMKD9j17S9sUNG/O2Dwd+EMrvqPrXG3mjtt6xut+PosOMTH3R49OZBciLXZq9PblNSUsjNzXV3GEIIIYYBpVSxu2NwF631DqXUk8BnOMfE3gTYTmD9F4AXALKzs/VgXJurF2/DXt9OzH1TBnzbQgghjl/jqjLqPy4i/rEzMfgYj73CKTiRa7M0SxZCCCEEAFrrF7XWU7TW5+Ace3MPcEApFQfgeq9yX4CAGuQqAiGEEMfW+af4OFtoDBVJboUQQggBQGeTY6VUEnAV8DrwPnCLq8gtwDL3RAdoDQZJboUQwu06/xZ7Vm47eMmtUspPKbVOKbXJNaTAo675LymlipRS+a5Xpmu+Uko9o5QqUEptVkpJmyMhhBBiaL2jlNoO/Ae4R2t9CPgtMEcptQeY45p2C+3QUnErhBCeoDO39bCa28F85rYdOE9r3aSUMgNfKaU+di37idb67SPKXwKMcr2mA39zvZ8wq9VKWVkZbW1tJxm65/Pz88NisWA2S6caQgghBobW+uw+5tUA57shnN6kWbIQQngE1fm3WJ8mya3WWuPskALA7Hod7ejnAy+71lujlApTSsV19tB4IsrKyggODiYlJeXwiR9GtNbU1NRQVlZGamqqu8MRQgghhoZDD3qvnEIIIY5DZ/tfz8ptB/eZW6WUUSmVj7Pzic+01mtdix53NT3+o1LK1zUvASjttnqZa15f212olMpVSuUePHiw1/K2tjYiIyOHZWILzm9KIiMjh3XNtBBCCHEkLTW3QgjhGTy05nZQk1uttV1rnQlYgGlKqQnAL4AxQA4QAfzMVbyvq1WfZ0tr/YLWOltrnR0d3feQR8M1se003I9PCCGE6EVrlHSFKYQQbteZi3hYbjs0vSVrreuAlcDFWutK7dQO/AuY5ipWBiR2W80CVAxFfEIIIYTwAlJzK4QQnuF0GwpIKRWtlApzffYHLgB2dhsrTwFXAFtdq7wP3OzqNXkGUH8yz9t6ik8++YSMjAzS09P57W97dyzZ3t7OtddeS3p6OtOnT2ffvn1DH6QQQgjhTWQoICGE8Ayn21BAQBywQim1GViP85nbD4DXlFJbgC1AFPBrV/mPgEKgAPg78P1BjG1Q2e127rnnHj7++GO2b9/O66+/zvbt23uUefHFFwkPD6egoID777+fn/3sZ/1sTQghhBDgfUMB2W02d4cghBCDw0Nrbgezt+TNQFYf88/rp7wG7hnoOB79zza2VzQM6DbHxYfwq8vH97t83bp1pKenk5aWBsCCBQtYtmwZ48aN6yqzbNkyFi1aBMDVV1/Nvffei9ZanqUVQggh+uNFzZJ3fL2Kj/78e+LSR5OWlUNqVjYjUkfKdV4I0UN7SwslW/IpzMtlX34uCWMncNkPfurusI5JGTqfuT1NktvTWXl5OYmJhx8ftlgsrF27tt8yJpOJ0NBQampqiIqKGtJYhRBCCK/hRUMBFaz9Br/AILTDwddvvsrXb75KYHgEqZlTScvKIXlSJj7+Ae4OUwgxxLTW1JaXUpiXS1FeLuU7t+Gw2/ENCCQgNIw9a7+ho7XF8/8+dP4t9qzcdvgnt0erYR0sfX2DceQ3tcdTRgghhBDdeEnNrXY4KNm+hZFTp3Hx9++nue4Q+zZtpDAvlz1rv2Hris8wGE1Yxo4j1VWrGxFvkfsAIYYpa0c7pds2U7gxl6K89TQcrAIgOimF7MuuJDUrm/jRYynbsY23/vdBSrZuJj1nhpujPgYPHQpo2Ce37mCxWCgtPTxkb1lZGfHx8X2WsVgs2Gw26uvriYiIGOpQhRBCCK+hvWQooKriItoaG0iaMBmAwLBwxp97PuPPPR+7zUbl7p0U5q2ncON6Vr3yIqteeZHQmFhSM7NJm5JD4riJmHx83HwUQohT0VhTTeHG9RRuXEfJ1s3YOtox+/qRNDGT6VdeQ2pmNsGRPVtsJowZi9nPn6L8XK9JbrXDzXEcQZLbQZCTk8OePXsoKioiISGBpUuXsmTJkh5l5s2bx+LFiznjjDN4++23Oe+88+QbWyGEEOJotPaKmtuSrZsAupLb7owmE5ZxE7CMm8A5N9xGw8EqivJzKdy4nq0rPiP/vx9g8vElacIk0qY4a3VDokYM9SEIIU6Qw2Fnf8FuCjfmUrhxHQeLiwAIHRHDxPMuJC0rG8sxvrgymswkT5xMUf4Gj++Lpys0qbkd/kwmE88++ywXXXQRdrud22+/nfHjx/PII4+QnZ3NvHnz+N73vsdNN91Eeno6ERERLF261N1hCyGEEJ5N4xVDAZVu3UREvIWgiMhjlg2JHsHkOXOZPGcuto4OSrdvoXDjeopcNbsAUYnJpGZlk5aVQ9zoMRhNcvsmhCdoa26ieHMehRvWUZS/gdbGBpTBQELGOM654TbSpkwjIuHEHjlIzcymYP0aastLibQkDWL0p8hDhwKSv46DZO7cucydO7fHvMcee6zrs5+fH2+99dZQhyWEEEJ4Ly/oUMpus1K2YxvjZ51/wuuafHxIzZxKauZUtP4faivKKMpzPqO34cN/s/79d/ANCCR58hTSsrJJzZxKQGjYIByFEKIvWmvn7+VG55dP5bu247Db8QsKdn0BlU3K5Kn4BQWd9D5SMqcAUJS/wbOT29NtKCAhhBBCiIHkbJXs2dltZcFurO1tJI3v3ST5RCiliExIJDIhkezLruwxXEhRfi67v10NShE7clTXs7oxqSNRBi94KFkIL2KzWinbsZXCjeso2phL3YFKAKKSUsi+/CrSpkwjbtRoDAbjgOwvJGoEkZYkivI3kH3ZlQOyzUEhQwEJIYQQQpwCL6i5LdmyCZTCMn7igG7XNyCAUdPPZNT0M9EOB1XFRc7ao7z1fPvO63z79hICw8K7mi/LUENCnLymQ7UU5TmfhS/eko+1rRWT2YekiZOZetmVpE0Z3GfhUzKnkv/Jf+hoa8XHz3/Q9nMqur5o9KzcVpJbIYQQQngJLxgKqGTrJmJSR+IfFDxo+1AGAzGpI4lJHcmM7yygpaGeffkbKNy4nj3rug81NN7VKVUOEfEJgxaPEN5OOxwcKNpL4cZ1FG5cz4HCAgCCIqMYd/YsUrNySJowCbOv35DEk5o5lQ0fvMe+/A2MnjFzSPZ5wqRDKSGEEEKIk+ccCshzk9vG2moq9+wc8qaEASGhjDvnPMadcx4Ou52KXTvYu3EdRXm5rHz5H6x8+R+Ex8WTmpVDWlYOlnHjMZrMQxqjEJ6mo7WF4s35XcNytdTXgVLEjcpg5oKbSc3KJjo51S2PQiSOm0hwVDT5n37kwcmt67zIM7dCCCGEECdBe3az5I0fvY92aCZdcLHbYjAYjV1DDZ174+3UVx2gMG89RRvXs+mzj9j40TLMfv4kT8zsGmooKDzCbfEKMZTq9ld2JbOl27bgsNu6OmkbOSWHlMypBISEujtMDEYjmRdeyuolL1Fdso+opBR3h9RbZ6tkz8ptJbkVQgghhJfwoKGAtEOzZlkh0UnBjJwSTUdrK5s//4TRM84idESsu8PrEjoihqyLLiProsuwtrdRsnUzRXnr2btxPQXrvwUgJi3dWas7JZvYtFHSKZUYNuw2GxW7d1C4cT2FG9ZRW1EGQES8haxLLmfklBziM8Z55PBaE8+7kG/fWkLefz9gzp33Yuuwsye3irSsaHz93R9vVysaD8tu3X9mhqnbb7+dDz74gBEjRrB161YAFi1axN///neio6MBeOKJJ3oNFwTwySef8IMf/AC73c4dd9zBz3/+8yGNXQghhPBIHtShVGNtGxv/WwxAysRIwqJ30dHaQvblV7k5sv6Zff0YOXUaI6dO43ytqS7Z57zpz8tl7btvsOad1wkIDXMOR5SVQ8rkLHwDAt0dthAnpLWxgSLXM+j7Nm2gvbkZg9FE4viJTJ5zCalTcgiPjXd3mMfkHxzCmJmz2L56BWnZ8/nm3TIaDrbS2tTBlAuT3R1et6GA3BpFL5LcDpJbb72Ve++9l5tvvrnH/Pvvv58HHnig3/Xsdjv33HMPn332GRaLhZycHObNm8e4ceMGO2QhhBCnOaXU/cAdOOtItwC3AXHAUiAC2AjcpLXucEd8njQUUF1VCwBjZsSyZ0Mlu756j/C40YxITXdzZMdHKUV0cirRyalMv/IaWhsb2LdpI4Ub17M3dy3bVn2BwWgkIWOcs/nylBwi4i0ec/6F6KS1pqa0mL2usWcrd+9EawcBoWGk55zByCnTvLb38PHnXszWFZ/ywZ9eJzLxbHwDTdSUN7k7LCepuXWTj38O+7cM7DZjJ8Ilvz1qkXPOOYd9+/ad8KbXrVtHeno6aWlpACxYsIBly5ZJciuEEGJQKaUSgPuAcVrrVqXUm8ACYC7wR631UqXUc8D3gL+5JUgPqrmtr2oFYMYVIwmJKOLL1xppajyfd57MZfZNY4iyDF5vyYPBPziEsTNnMXbmLGenVHt2uoYaymXVq/9k1av/JDQmlrSsHNKysrGMm4jJx8fdYYvTlK2jg9LtW7p6N244WAXAiNSRTL/qWkZOySEmLd1rm9hrrSnIrWL1mwcwmCwY2MQVP/ofVrxaRG1Fs7vDAw5/0ehhue1pkNx6mGeffZaXX36Z7Oxs/vCHPxAeHt5jeXl5OYmJiV3TFouFtWvXDnWYQgghTk8mwF8pZQUCgErgPOB61/LFwCLcldx60FBAdVUtmHyNWNtrWfPuYuJGZZA97zK+emsPbz6RS9acRLIvTcXsY3R3qCfMYDRiGTMey5jxnH39rTRUV3WN+bll+afkffIfTL6+JE/MIm1KNqlZ2QRHRLk7bDHMNdXWdHUGVbwlH1t7e9fP4fQrrxk2P4eNtW2sWrKL4q01jEgO5swr7+LjZ3/FisXPEW65ivJddTjsDgxGNyfuXc2SPSu7Hf7J7TFqWIfS3XffzcMPP4xSiocffpgf//jH/POf/+xRRvfx9Yc0ARJCCDHYtNblSqnfAyVAK/ApsAGo01rbXMXKgD4HTFVKLQQWAiQlJQ1WkB7ToVT9wVZCIn348JmnUEpx6X0/JXREDEnjI/nm3QI2/reEgg1VzLp+DInjvLs34pCoEUyeM5fJc+Zi7WindNtmCjfmOjumyl0DQHRKmrNWd0o2semjMRi8L6kXnkU7HBwoLHA1N15HVdFeAEKiRzBh1gWkTZlG4jBqQeBwaLasKGPN+4WgNTO/O4qJsy0YDIr6Azfw1dKXmXxhOnZbOPUHWwmPdfPz8EqaJZ/2YmJiuj7feeedXHbZZb3KWCwWSktLu6bLysqIj/f8h96FEEJ4N6VUODAfSAXqgLeAS/oo2uedjNb6BeAFgOzs7EG529Fae0rFLfVVrVhbvqSmZDeX/+gXhI5wXuP9As2cd9NYMqbFsnLJLt5/Jp+M6bGcdXU6/sHefxNu9vF1NU3OQeu7qCkroXDjeoryclm37C3WvvcG/sEhzk6ppuSQMnkKfoFB7g5beImWhnqKN+exL38D+zbn0VJfh1IG4jPGcPb1t5I2JYdIS9Kwq/ipKW9i+Ss7qdrXQNL4CM69LoOQKP+u5Tnzv8O+zRvZtup1DL7XUVPe7AHJrevds3JbSW6HUmVlJXFxcQC89957TJgwoVeZnJwc9uzZQ1FREQkJCSxdupQlS5YMdahCCCFOPxcARVrrgwBKqXeBM4EwpZTJVXtrASrcFqEDj6i5ddgd1JR8hbVlNZPnzGX09LN6lUnICOfaX+aw4eNiNn5STPHWGs76bjoZ02OHzY25UoqoxGSiEpOZNv9q2pqa2LdpA4V5uRTmb2D76hUog4GEjHGkZmUP28REnDyHw87+gj3s27SBovwN7N+7B7TGLziElElZpGVlk5I5Ff/gEHeHOihsHXbWf7SP/E9L8AkwMef2cYzKien1O2IwGLnknh/zys/uo73pbcp3J5E+dYSbonbqHApIS7Pk08N1113HypUrqa6uxmKx8Oijj7Jy5Ury8/NRSpGSksLzzz8PQEVFBXfccQcfffQRJpOJZ599losuugi73c7tt9/O+PHj3Xw0QgghTgMlwAylVADOZsnnA7nACuBqnD0m3wIsc1uE2jM6lPrm7XewtqwkZuQUZt+6sN9yJrOR6fPSSJ86gpWv7eSLl3awa81+zr0+g7AR3tdz67H4BQUx5qxzGXPWua6kZTeFG3MpzFvP6iUvsXrJS4REj+gaUzdx3ETMvn7uDlsMsea6Q+zbtJGi/A0Ub86jrakRpQzEpo/izKuvJyVzCjFp6cO+aXvpjlpWLtlFw8FWMma4WncE9d+6IyQqmu8+/Div/uKnbPrkGbIu+AMh0W5McD205lb19YynN8nOzta5ubk95u3YsYOxY8e6KaKhc7ocpxBCDBWl1Aatdba743AXpdSjwLWADcjDOSxQAoeHAsoDbtRatx9tO31dmwdC2c9XE3x+EqFzhn6MR22zgcHAmnff4Ju3XsNgHsV3f/kgljHRx7e+Q7NtdTnfvrcXu12Tc2kKmXOSMLq7U5gh0lhT7eyUKu9wZ0BGk4n4jHEkT8wkeVIWI1LThn1CczqyWa1U7tlJ8eY8ivI3dD072zmmcsrkKSRPyhq2tbNHam3s4Ku397B77QFCR/gz6/oMLGOO/7n8937/CUUb/kFwZAjzH/glI1LSBjHa/lkPtnDgDxuIWJBBQObgJtkncm2WmlshhBBCAKC1/hXwqyNmFwLT3BBOD51N39zRotVWW8uOCy9ke85EymoPEjd6OrVVMwiPO/6bcWVQTDjXQsqkaFa/uZs1/y5kz/oqZt2YQWxq6CBG7xmCI6OYdMHFTLrgYmwdHZTt2ErxlnyKN+fx1dKX+Wrpy/gFBZM0YTLJkzJJnpjV9Ryz8C7a4aCquIiSLfmUbN1E2Y5t2DraUQYD8aPHMHPBzaRkTmVEcqrXDtVzMrTW7Py2kq/fKcDaZid7bgpTL0nGZD6xL3QSxmRQtus72G2f8PrDDzDdkk7mLbfjN2bMIEXeDxkKSAghhBDiJHXeQLnhmduir75ktSWStuoqpqVm4Bh/DU0N+wkIOfEOooLCfbnkfyZSmH+QL5fu5p3fbWDiLAsz5qfh43d63JaZfHxImTyFlMlTAGcz1ZKtmyjenE/xljx2r/kKgLCYOJInZZI4fjKWseMJDAs/2maFm2itqT+wn2JXMluybTNtjQ0ARCQkMvG8C0maMBnLuAmnbedih/Y3s2rJLsp31xE3MpRZN4whIv7kOoSKjA/EYIzhooWP8OXvf8LXhdvZ/+ffc/GT/4df0NCdXyVDAQkhhBBCnKTO6oEhrLptaahn1Ssvsv3L5QQA5xoDCXj/Y7ZbzyY0OuGUOkZKy4zGkhHOmn/vZcvKMoryD3LOdRmkTvL+cTpPVGBYOGNnzmLszFloraktL6N4Sx7Fm/PYvnolmz77GIDweAuJYydgGed8DYcxTb1RZzJbtmMrZTu3UbptMw0HqwAIiohk5JQckiZMJmnCZIIiIt0crXvZrQ42flpM7sf7MJmNzLohg3FnxXd1xnQyIhOcCWzFX5eSnbeTPfGRFAL/+tFdzL51IRlnnD00nbbJUEBCCCGEECepK7kd/F21tzSz4cN/s+HDf2Pr6CBz0lRiXn2L9GV/pu6NN6nf00YExWidc0o3kT7+Js65LoPR02NZ8epOPvrrZkZOiebsa0cTGOo7gEfkPZRSRFoSibQkMuWSedhtNqqK9lK6fQtlO7ay85sv2fzFJ4CzZjdh7HgSx03EMnaCNGMeJNrhoKashLId2yjbsZXyndtoOlQLgF9QMJax48m+/CqSJkwmIt4ivWG7VOw5xMrXdnFofwujskdw1ndHDcjvdVCgxqBt1FS2MP7xx/H/1z8ZGR7HpvAAPvzT79jw4b+ZueBmkidmDsBRHEVngu5Zua0kt0IIIYTwfNrhfD+VGo9jaaypJv/TD9n82ce0NTcxavqZnHXNTRi++pr9WmMMDSP6F7+g7d4VmHZ+xv7HthP78MOn/NxgbFoo1zyYQ95nJeR+uI/SHWs548qRjJ95ajU8w4HRZCJuVAZxozKYNv9qHA47B/cVUbZjK6Xbt7I3dy3bVn4OOGsN49KdZePSM4hJS8fsJ70xn6jWpkb2F+ymcs8u9hfsorJgN21NjYDzHFvGTSRhzHgsY8cTmZB4Wj03ezzamq18824BO76uJDjSj8vunUzyhIGpwbY3NVN21/8QqC/AlnUuYVddSP277xLS1Mr1f/kb2778gm/fep23f/1L4jPGMfXS+aTnzBiUjtq6Km6lWbIQQgghxAkapJpbu81KUd4Gtq9eTsH6NaBhZPY0Zly1gJi0dACq653PDxpDQ2iobUdjIDpnDHWv/w5ttRL32GOnfINvNBnIviSF9CkjWLlkJ6uW7GLXmkrOvX4MUZbT8znFvhgMRmLS0olJS2fqpVegHQ6qy0oo276Fit07qSzYxZ513wCgDAaiklKIH5VBbHoGI1LSiLQkYjSZ3XwUnsPa1kZ1aTGVBbtdiewu6vZXOhcqRZQlifScM7CMdSazIdG9x2AVTlpr9qw/wFdv7aGt2UbWnCRyLkvF7DswiaW9sZHSO+6kdetWoq+7hf2N/gAYw8Pp2FeEwWhk4uwLGXvWLDZ/8QkbP1rGf57+DSHRIxh/7vmMO+d8wmJiByQWoFt2O3CbHAiS3A6CtrY2zjnnHNrb27HZbFx99dU8+uijFBUVsWDBAmpra5kyZQqvvPIKPj69O6P4zW9+w4svvojRaOSZZ57hoosucsNRCCGEEB7EMXDP3Frb2ti3JY+9uWvZu2EdbY0N+IeEMmXufLIuupTQET1vAO0N9ShfXwx+ftTvrQHAcuMV+EQ1Uv3Xv4HVRtwTj6OMp34TGxYTwPwfZrFrzX6+fqeAN59Yz+TzE8m5NOW06XDqRCiDgeikFKKTUsi6+HLA+ay0s+ZxJ5UFu9nx1aqu53YNRhORCRaik1OJTklzvienEhAyvHus1lrTWFPNweKiHq9D+yu6vjgKDI8gLn00E2ZfSFx6BrEj0/HxH37jMQ+G+oOtfPn6Lkq21zIiOZjL7xtDdGLwgG3fXldHyR130rZrFwn/90fadAaF7xbQ1mTFGBaG7VBdV1mTjw9TLplH5kWXsnf9WvI/+4hv31nKt2+/Tlx6BiOzp5OeM4OIhMRT+6Ki8/u80+mZW6WUH/Al4Ova19ta618ppVI5PGbeRuAmrXWHUsoXeBmYCtQA12qt9w1mjIPB19eX5cuXExQUhNVqZebMmVxyySU8/fTT3H///SxYsIC77rqLF198kbvvvrvHutu3b2fp0qVs27aNiooKLrjgAnbv3o1xAC6YQgghhLc6lf6kWhrqKd+1nfKd26nYuZ0DRQU47HZ8AwJJzcpm7MxZJE/Kwmjq+7bI0dCAMcQ57E99VQvgTEID77sPTCaqn/kz2mYj/snfovrZxolQSjHmjDhSJkbx7b/3kv9ZCQW5Bzj72tGkZR7fuLqns4CQUNKm5JA2JQdwPjNaW1nuTOj2FXKwuIiSrZvYvnpF1zqBYeGExyUQHhfvene+QmNiMZm9p6a3o62VQ5UV1O2v6PFeW15KW3NTV7nQmFiik1IZc9a5RCenEJM2iuDIKKmVPUF2u4NNn5ey/oMilEFx9rWjmHCuBcMAPk5gO3SIktu/R0dBAZZn/kTw7NlEbnN+yVZT0YQ5LAx7XR1a6x7/fwaDkVHTz2TU9DNprKlmx1cr2bP2666htwJCw0gYMw7LmPEkjBlPdErqiTVf7tzXadYsuR04T2vdpJQyA18ppT4GfgT8UWu9VCn1HPA94G+u90Na63Sl1ALgSZyDyZ+0J9c9yc7anad2FEcYEzGGn037Wb/LlVIEubritlqtWK1WlFIsX76cJUuWAHDLLbewaNGiXsntsmXLWLBgAb6+vqSmppKens66des444wzBvQYhBBCCK/Smd32c9OoHQ5aGxucN/IVZc5XeSk15aXUH9gPgNFsJnbk6K7ObyxjJ/Sb0HZnr6vHEOpMbuuqWjH7GruGAYr+/vdRZjMH//A02mYj4fdPoQYoGfILMjP7xjGMmRHLqtd38fFzW0iZFMXZ144iJNJ/QPZxOlAGA5EJiUQmJDLmzHO65rc01HNwXxEHiwupLi3h0P4KCnLX0tpQf3hdZSBkxAhCo0cQFBFFcGQ0wZFRBEdGERgWjn9IKAEhoZj6aIk30KxtbbQ2NtBSX0fjoRqaaqpprHW+N1QfpO5AJc2ujp46BYVHEBYXz+gZM7tqqaOSUvANkBrZU1W5t55VS3ZRU95E6uQozlkwmqDwgX3G21ZdTcltt9NRUoLlr38l6OyZAETEO/OM2opm4sPCwGbD0dyMsZ+hgIIjo5g2/2qmzb+axtpqivJyKd+xjbKd29mz1tmM3+znT5QliYgECxEJic5XvIXgyEjMvr2Py0M7Sx7c5FZrrYHOr4nMrpcGzgOud81fDCzCmdzOd30GeBt4VimlXNvxKna7nalTp1JQUMA999zDyJEjCQsLw+S6iFosFsrLy3utV15ezowZM7qm+ysnhBBCnA4cdjubPu/TDkoAACAASURBVP+YtupGErGwa81X1G6pwtbRTktjA811h2ipr6Olvg7tcHStZzSbCY9LICZlJJPOv5iEjHHEjBx1UrVw9oYG2vxNWO1WqksbiUwI7FFDEnXnnSizmarfPkmZzUbCH5/GMIDJTlx6GN99MIfNX5Sx7oNCXn90LTmXpjL5gkSMRunM52QFhISSPCmT5Ek9e5Vta26irrKCQ5XlHHLVfDYcrKJ02xaaDtX0+DnrZPbzJyAkBL+gYHz8/DH7++Pj54+Pvz9mX18MRhMGo9H5MhhRBgMOux2Hw4F22HHY7dhtNqxtrXS0tbneW+loaaW1sYHWxgZsHe299mswmgiOjCQoIoqUyVMIj40nPC6esNh4wmPjpUOtQdDWZOXb9wrY/nVl17jVaVkD36LCeqCKkttuw1pZSeLzzxHYLT8IDPPBN8BETXkTiWFhgLPpcn/JbXfBEVFMOv9iJp1/MeDsSK9s5zYqdu2gtryEfZvz2Lbqix7r+Pj7ExgWTkBoOIGhYc6fb6M/oxlH0cZcWqq+YuzMc3s90uEOg/7whlLKCGwA0oG/AHuBOq21zVWkDEhwfU4ASgG01jalVD0QCVQfsc2FwEKApKSko+7/aDWsg8loNJKfn09dXR1XXnklO3bs6FWmr6YffeXx0kRECCHE6epAUQHL//kcfsYgEpPuoWLPTsrtezCaffAPDiE4IpKY1HQCw8IICA0jLCaOiIREQqKjB6yH0LZD1Wx0FPLa178ipfQixszofQMXeeutKJOZA7/+NeX/7z4SnvkTBt+BG87HaDSQdWES6dkjWP3Gbr59by+71u7n3OsziE8PG7D9CPALDCI2fTSx6aN7LXPY7TTXHaKx5iDNdYdobWigpaGe1oZ6WhrqaW9ppqO1lcaaaqytrbS3tmDr6EDb7djttj4TY4PRmewaTSbMfs6k2Oznh4+fP0EREUQnp+IfEoJ/8OFXcGQUQRGRBISESm/FQ0Q7NDu+reTbd/fS3mojc07SoD0Lb62spPjWW7EfrCbp7y8QkJ3dY7lSioj4QKrLm/h3yBdMB+yH6sBiOeF9BUdGMfascxl71rld89qamzhUUU5tRRlNh2ppqTvU9UVidWkxHe1t6A4Ho6PGUbp1Mzu/drZ4mH3rwlM99FM26Mmt1toOZCqlwoD3gLF9FXO995XF9cr2tNYvAC8AZGdne3StblhYGLNmzWLNmjXU1dVhs9kwmUyUlZURHx/fq7zFYqG0tLRrur9yQgghxOnAbrUCcOn/+wksa+G82xYSmDO0tQO2+nqao+HL7WtIaL+AqKS+O4qJuPEGlMnE/kWLKPv+PVj+8iyGAa45C47wY+7dkyjadJAv39jNe7/fyNgz4zjjqpH4Bw1+09jTncFo7GqWfDK01jjsdrTWGIwGlDJIJYYXqClvYtWSXVTurSduZCjnXp9BZMLg9GLeUVZOya23Yq+rI/HFfxCQldVnuciEIDZ/U8zKmFXO5Laurs9yJ8MvMKhrCK7+ODrsVDzyDWdffyvFr+7AbrMO2P5PxZB91aO1rgNWAjOAMKVUZ2JtASpcn8uARADX8lCg58MDXuDgwYPUuX7AWltb+fzzzxk7diyzZ8/m7bffBmDx4sXMnz+/17rz5s1j6dKltLe3U1RUxJ49e5g2bdqQxi+EEEJ4is4WTQblumVxRx7Q2ESTH0zG2Sywwr+w36LhC64l7vFf0/zNN5TedTeOlpZBCSl1cjTX/2oGWRcmsWvNfpb8ai07vqnoswWY8BxKKYwmEyaz2dk8WRJbj9bRZuPrt/fwxuPrObS/hfNuHsOVP54yeIltSQnFN92EvaGBpH/9s9/EFmCfcRcGqwmHTwQwsMnt8VDdhgJSBoPHjHc7qMmtUiraVWOLUsofuADYAawArnYVuwVY5vr8vmsa1/Ll3vi8bWVlJbNnz2bSpEnk5OQwZ84cLrvsMp588kmefvpp0tPTqamp4Xvf+x4A77//Po888ggA48eP55prrmHcuHFcfPHF/OUvf5GekoUQQpy2Optxdt1IDXEyoG02DC1tNPsp5oVcjUPZWbTjF5Q2lPa7Tth3vkP8k7+lZd06Shf+D/am5kGJzexr5Myr0rnmoRzCYwNY/vJO3vvDRmoqmo69shCiX1pr9uZV8fqja8n/vJSxZ8Ryw6MzGHtmPGoAe0Lurr2wiOIbb0K3tpK8+CX8J07st+zGAxt5veolAKZEOYcMtR86NChx9aszi3RoDAYDjj6a3LvDYDdLjgMWu567NQBvaq0/UEptB5YqpX4N5AEvusq/CLyilCrAWWO7YJDjGxSTJk0iLy+v1/y0tDTWrVvXa/68efOYN29e1/RDDz3EQw89NKgxCiGEEN7A0ZXcuu6kBunGsj/2xkYAWvw0rdsLiUiIA6PmvhX38ercVwk0B/a5Xui8eWA0UvHTn1F6550k/v2F4+rs5WREJgRx5Y+nsOPbSr55t4A3f72eyRckkj1XxsYV4kTVH2xl9Ru7Kd5aQ6QliIvunEBs2uCOg9y+Zw/Ft90OWpP08mL8Rvd+3rvT/ub93L/yfiJGODuximoOwQG01R4c1Bh76dZdsjIY+3ye3B0Gu7fkzUCv+nStdSHQq62t1roN+O5gxiSEEEII76G7JbeaIa+4xVHvGhbGrKmu8SF9QgtPnfMUd31+Fw999RBPz3r6cJPpI4ReeinKZKb8xz+m5LbbSfr7CxjDBqfzJ2VQjDsrntTJUXzz7l7yPi1h99r9nHX1KNKzR0jzVyGOwW51kPdZMbkfF2MwKM66Op1Jsy0YBrlH8radOym57XaUyUTSy4vxTUvrv6ytjfuW30djeyvBLdcRFGhHFdfS4geGqjKGtJeebkMBOZsl24dy7/2S7tWEEEII4bG6klvc0yzZ3tAAgI8pgnYdRHTFq5wRmMQD2Q/wRckXPL/p+aOuH3LRhVieeYb2nTspvvkWbNXVRy1/qvyDfDj/5rF856dTCQj15dMXt/Hvp/OoKZemykL0p3hbDUt/vY617xeRMjGK6xfNIPOCpEFPbFu3bqP4lltRvr4kv/LyURNbrTWLvl3Eztqd1Jd8l7aSGiLsW9HtiTT6Q1PN/kGN9UhKKWeCqz2rWbIkt0IIIYTwWJ03TF21o0N852Kvdya3/so5xEa0qQDeuYMbRl/LqIDZ/HXTX/mi5IujbYLg82aT+PxzdJSWUnzTzVj3D/5NaGxaKFf/PJtZN2RQU9HEG4+vZ/Wbu2lv8YweTYXwBPUHW/nob5v54M+b0Fpz+f+bzMULJxAUPnDDePWnddMmSm67DWNgIMmvvoJPSspRy7+8/WU+LPwQW82F+LaM4s+mPxPhW0GLNYEGfwMdtYP7xVmflOrWoZQkt0IIIYQQR9XV1M2V3A5181q7q1mynyMRgwEi598HJd9Q/eGv2bjxPIzWJH6x+kEKDhUcdTuBZ55J0j/+jq2qiuIbb6KjrGzQYzcYFOPPTuDGR89g3Mx4Nq8o47VfrWHHN5Ue07OpEO5g7bCz9j+FvP7oWkp3HuKMK0dy3cPTSRofOST7b163jpLbbscYFuZMbI8xPu035d/w9Ian8WnLJKD1IpYkLmOsoQT/qefhwExbcAwO1xdxQ0oBDi3JrRBCCCHE8ejdW/LQ7r8zufWxJRER64dxyrWQeQPRec9wptpFc+mN2Kxm7ltxH/Xt9UfdVsDUqSS99C/sjY0U33Aj7YVFQ3EI+AWZmXV9Btf8IoeQKH+Wv7yDd3+/gYMljUOyfyE8RWcvyEsWrSH3w32kZUVzw6IZTLkoGaN5aNKiptWrKb1zIaa4OJJffQVz/NGflC1pKOGBLx/AV8dTX3IVb5xZSeaBd3nOdhmGMVMBsAfGY2wcnGHHjkYZFFojzZKFEEIIIY5HV7NkNz1z23ao2tmRVUcy0ckhzplzn6LcaOFZ37/xxOzR1BVfT3ljJT9Z9RNsDttRt+c/cSLJLy9G22wU33QTbbt2Df5BuEQnBfOdn0zl/FvGUn+wlTd/s56VS3bR1iRNlcXwV1vZzPt/yueT57fi62/iih9lceH3xg9JE+RODZ9+Sun378FnZBrJr7yMOSbmqOWbrc3ct/w+OmyagwXX8+SsSEZ++yB1EZn83nYNhlAzBuXA4ZuEf5MVhx7iBLN7ze1Q77sfktwOIrvdTlZWFpdddhkAt956K6mpqWRmZpKZmUl+fn6f6y1evJhRo0YxatQoFi9ePJQhCyGEEB6lq6mbm4YCaj5URX1QJDiCiU529nRcZzOzsPUeQlQLV5f+misyZtBSOZ9vK7/l/zb83zG36ZeRQfIrr6BMJopvvoXWLVsG+zC6KINizBlx3PDYGUyabWH7VxW8+qtv2fplOQ5pqiyGoY5WG1+/vYc3/ncdB0saOfvaUVzzYA4Jo8OHNI76Zcsov/9H+I8fT/JLL2GKiDhqeYd28ODqBymqL6Ju3wKuHDOaqwofBoOBgnOewYaJFruDhKha2swT8bXCgbrBf9yhB6VcQwFJs+TTwp/+9CfGjh3bY95TTz1Ffn4++fn5ZGZm9lqntraWRx99lLVr17Ju3ToeffRRDg31oMxCCCFOO0qpDKVUfrdXg1Lqh0qpCKXUZ0qpPa73Ib0jPLK35KEe0aattpr9MZMBSBrvvBldvaea7Y4kyqc/gtq7nCdjVzDS7zxUw1ks3r6YDwo/OOZ2fdNSSX7tVYzBwZTcehstubmDehy99u9v4uxrRnPtQzlExgexasku3nxiPWW75J5DDA8Oh2b71xW89qs15H9RSsYZsVy/aAaTZicOei/IRzq0dCkVP/s5ATk5JL34D4whIcdc5/lNz7O8dDnUXk5aUCZPhr2LqsyH+X/BFJkMQHO7jbSkRjoMMbQExFJcunWwD6UnV4dSntQsediP7L3/iSdo37FzQLfpO3YMsQ8+eNQyZWVlfPjhhzz00EM8/fTTx73t//73v8yZM4cI17c5c+bM4ZNPPuG66647pZiFEEKIo9Fa7wIyAZRSRqAceA/4OfCF1vq3Sqmfu6Z/NlRxHe4t2T3Nkq31h6iJnEOwXxmh0QEArNhVRViAGcsF34f69ZhXPc6/rnqXC9+Zh29AFYu+WURqSCrjo8Yfdds+FgvJr71KyW23U3LHnVj+8ixBZ501FIfVJTIhiCt+lEXBhiq+fXcvy/6YR+rkKM68Kp2wmIAhjUWIgVK+6xBfvb2H6tImYtNCmHv3JGJSj51QDoaaF/9J1VNPETRrFgl/+j8MvsduBv1F8Rf8ddNfCbLOoLFuJi9fWoP5o+dg2kIYezlBVc7n5ZvabUxPc7BqAxyMmkxrxS6YNHewD6mLMjifY5aa29PAD3/4Q373u99hMPQ8xQ899BCTJk3i/vvvp729vdd65eXlJCYmdk1bLBbKy8sHPV4hhBCim/OBvVrrYmA+0PmMzGLgiqEM5PANkyupHeI7l5ZGB+0BaaSE7wCctUFf7j7IOaOiMRoNMO8ZCLUQ9/m9PDN/JDWF12JwBPODFT+guvXYQ3OYY2JIfuVlfJKTKbvrbhqXrxjsQ+pFKcWo7BiuXzSdGVekUbbzEK8/tpav3t4jQwcJr1JX1cJHf9vMv/+YR1uzlQu/N56rfjLVLYmt1pqDz/yZqqeeImTuJVj+/MxxJbYFhwp48KsHCTOMpHLvpTx7aQyxK34EsRNhzv8CEOjrrJ9sbrcTFBVMFHs4GDWZ6v1D00ldl66hgIyHe7Z3s2Ffc3usGtbB8MEHHzBixAimTp3KypUru+b/5je/ITY2lo6ODhYuXMiTTz7JI4880mNdrXs/7zLUwx4IIYQ47S0AXnd9jtFaVwJorSuVUiP6WkEptRBYCJCUlDRggRzZLHmoa25rSQFg/IhiALZVNFDd1MGsjGhnAb9Q+O6/4MWLmL3rMe6e+UueW3M91pHP86OVP+LFC1/EbDQfdR+myEiSF79EyZ0LKbvvPhJ+9yQhc4eu9qUrDh8jUy9OYcwZcax9v5BNX5Sy69v9TLs8lfFnxw95U04hjld7i5Xcj/axeUUZBpOB6fPTyDw/EZOP0S3xaK2p+u2T1C5eTOh3riLuscdQxmPHUt9ez30r7sOAL2W7ruHus9OZtfUBsHXA1S+B2Q/ontzaICyMFNOn5IbcSEvFEH851tmhlFIe0yxZ/koNgq+//pr333+flJQUFixYwPLly7nxxhuJi4tDKYWvry+33XYb69at67WuxWKhtLS0a7qsrIz4Y3QRLoQQQgwUpZQPMA9460TW01q/oLXO1lpnR0dHD1g8h3vg7BzndsA2fVwO+Y1F2UqJDHXGsXJXFUrBOaO7HWPCVLhgEez8gAfCV3FG4kRaK75DXlUeT6x74rj2YwwLI+lf/8Q/czLlD/yEunfeHfiDOU6Bob7/n73zjm+q/P74+yZp0ibde6S7pVBaCoVSEAeKCAKiIKAsB6DwVQRFUFBx4QB/DhRQlgMUQUVcKAiy9yi7QIHuvfdKk9zfH7ctICC0tGXd9+uVV5rkPvee2zb3Puc553wO94xsw5BXonDy0rF1xSlWvLOPlNj8a2aTjMzFMJvMHN2cxnev19bVRrsz4u0udLrf79o5tiYTWW+8ScGSJTiMHInHjBlX5NgazUambJlCRlkmhYlD6eITwBT1L5CyC/p9As5B9dvq1JJzW1ZtBCsHAjS7ATDltEyf3noUZ2tur5fe2bJz2wy8//77pKWlkZSUxIoVK7jnnnv47rvvyMzMBKTVnF9//ZWwsLALxvbq1Yt169ZRWFhIYWEh69ato1evXi19CjIyMjIyty73AwdEUcyufZ0tCIIHQO1zTksac0EroBZUSy4tqKJM54fCdBA0NgAk5pfjaWeFs/W/0gu7PguteqNYP515dytxEDujKbuXladW8mPcj1d0PKW1NT6LFqHr2pXMV1+lYOm3TX1KDcLF24YHX+jA/ePCMRnN/DHnMH/MOUxBRvk1tUtGBiAlNp8V7+xj64pTOHnqGDItinsea4POruVa+/wbsaaGjJenUvTjjziNG4vbK9MQFFfmbs2Omc2uzF2oiwdhr2jF/G6lKLZ/BO2HQ8Qj522rVAhYWSilyK2VA07adLTlmagrQ6g2XVj22FwIAohmueb2lmX48OGEh4cTHh5OXl4er732GgD79+9nzJgxADg6OjJ9+nSioqKIiori9ddfrxeXkpGRkZGRaQGGcjYlGeB34PHanx8HfmtJY862Amr5tOT4/VkAKIQD9c5tWZURG8uLVHUJAjz4OWidsf/zaeYPaUVxRg9sxXDe3/M+MdkxV3RMhZUV+i8+x/reHmS/9x65c+ddtGSppRAEgYD2Lgx7PZrbHg4iK6GYFTP2sHHpCcoKq66ZXTK3Lrkppfw2+yB/zDmMyWjm/nHhPPhCB1x8bK6pXWaDgbTnX6Bk9WpcJk3C9fnnr7i0cHXCapYcX4KreA+FWR1YMNAbuzXPgnMw9Pm/i47RaVSUGyTnVqEE54LDqAkkMzu3KU/rv7kOWwHd9DW315ru3bvTvXt3ADZu3HjRbTp16sTixYvrX48aNYpRo0a1hHkyMjIyMjL1CIKgBXoCY895eybwoyAIo4EUYHBL2nS25raWFvJtRVHkxM4MrEtTMVtnnXVuq41Yay4xfdI5waAv4Zu+RBx6i9f7vcb0Px5G33YhkzZPYkXfFXhYe1z22Aq1Gv3s2WROf528uXMxFRfjNm3qFUeAmgOlhYIOPX1o3dWdmDXJHN2Sxql92UTcoyeyly8a7X/XFcvIXC3FuZXs+T2B0/uysdRZ0G1QEOF36VFaXPtYnbmykrTxz1G+Ywdur72G44jhVzw2Ni+WN3e+iYe6LacO9+Dt/q2J2PciVBbBiFWg1l10nLVGSVm1Cayk/ttupftJ4T5it2TgN1TfJOd1WRRyKyAZGRkZGRmZ6xRRFCsAp3+9l4+knnxNMNc7t3U1ty3j3aYeL6Agq4o26ZvJDDOe59w66tSXHuh7G3R/BTa9wwj/OzkY0Y5fjz+KU/ACJm6ayJL7l2Clsrrs8QWVCo9330Fpa0vBkiWYS0rwePcdBNW1nbpZWau5fXAw7e7Ws+ePBA6sSyF2WwYd7/cjvLsXKotrU+coc/NSWWpg/19JHNuajkIh0PF+Xzrc54vG6vpwY0zFxaT+7xkqDx3C4733sB844IrH5lbkMmHjBLRKO87EDmBABx9Gmn6D+I3Q92Nwv7CEsQ6dRkVFtRGUFqC2RqsqQVV5hNQ97akZaMJC0wLfReH6awV0ffxXyMjINDsZRZVkl8gpZDI3J3ZWFgS4WF9rM2SagfrIrdCyNbcH1qVgpRVwy95HYQcTaKRWImVVRnwcL9P/9Y5JkLQV4a+XeO/JfzieGUhGxqOcNH3FGzvfYNYds67ISRcUClynvozSwZ7c2Z9iKi3F65OPr6idSHNj62xFzyfb0v5eH3b/Es/On89wZFMq0f0DaNXZHUUL1kbL3JzUVJs49E8KB9enYDSYadPNg859/dHZX/v//zpqcnJIHfMUhsREvD7+GNveV66TU22qZuKmiZQYSjGkPkMrZw9mRlUifDsDQh+ETv+dxanTqCRBKQArB5RWSuzzN5CnbU/c7kzC7mr+6K0gtwKSkZG5FpjMIj0/3kK54fq48MjINDW92rqxYGSna22GTDNQHw0Q62pum/+YOcklpMcV0rptBQrRhM7CfF7k9qI1t+eiUMLARfBFNyx/HcPCR/+g7/xK7KseYE3i74Q4hDA6fPQV2SIIAs7jxqGwsSF7xjukPvU0+s/nobS+PhZzXLxteGBCe1JPFrBrVTwbvjnBgbXJRPXzJyjSFUF2cmUaiNFgInZbBjFrk6gsrSGgvQtdHgrAwf3i6bnXCkNKCimjx2DMz8d7wXx0t912xWNFUeTNnW9yNO8orpVjyanyYMHIQDQ/9QY7L3jgs8vqC1hrVOSU1gYtrOyx0NTglJVAUScjhzem0fYOr+b//tW2ApLTkmVkZFqUGpOZcoOJQR319G13+XovGZkbDZd/K9fK3DSYa6MBdZHOlnCWDq5PQW2pxMEmBQAblREsayO3/1Vzey427jBwIXw3EJ+9M/hkyKuMWVpDq7BcPj3wKYH2gXT37n7FNjkOH47S1o6MadNIeeJJvBctROXg0JjTaxa8Wzuin+pA/MFc9q5OZN3iWGK8kun8gD/+Ec4tlk4uc+NiqjFzfEcGMWuSKC82oG/tQHT/ANwD7K61aRdQFRdHypgxUGPE95uvsWrXrkHjv479mtUJq2mlHkTMCX8WjmiH744pUJoBo/6ur6P9L3QaFeV5tUELKwcs1VnYVALt8ilaryL5WD5+7ZwbcXYNQCELSsnIyFwDakzSBaeVmzV3h7heY2tkZGRkrpyzglItE7ktyq4gPiaH9j19qE7fgBXgoJJqbk1mkQqDCWvNFYonBfWA21+A7Z9wr/+dPHt3GPM296FV+zxe3voy3/X5jmCH4Cu2ze6BfihsrEmf+DzJw0fg89WXWLi7N+5EmwFBIRDU0ZWADi6c3pfNvj8TWTP/KK6+NnR+IACfto6ykytzASaTmZM7M9n/VxJlhdV4BNnRc3RbvFpdP4s351Jx4ACpY8eh0GrxWfYNmsDABo3fmraV2TGzaWN7O3v3dOSZ7oHcV7EaTvwBPd8G/ZVlIUmCUrVpyZb2aCxSsK6Ccq90nBx92Ls6Ed8wp2ZdEJRaAUklFGd7kl9brr28mIyMTLNjqm2srbqGSpsyNwCiKKkz5pyE+E1waDls+xj+egl+GAFf94HjLdoFRkZGcm5r67qAZm8FtGPlaVRqJRE9vKkuzAPAUWkCjU39RNL6cmnJ53L3q6DvDH88z6SOFtwW4E7y8SFolFY8t/E5CqsKG2SfTffu+CxehDEnh6Rhw6hOTGzQ+JZAoRAIiXZn2BvR3PNYayrLalg99zCr/i+G1BMF17S1kcz1g9lk5sTOTL5/Yzebl8Whs9fQf0J7BrwYed06tmVbtpAyajQqJyf8vl/WYMc2viiel7a+hK9NMIcP9KZbkDMvtquGv1+FoJ7Q9bkr3pdOrZL63AJYOaBSV6EQwZCbRdeHAslNKeXErswG2ddgalsByWnJtwBFRUWMGTOGY8eOIQgCX331FSEhITzyyCMkJSXh5+fHjz/+iMNFUoqWLFnCO++8A8Brr73G448/fsE2MjINocYkTSQslPKK+S2L2QRl2VCcDiVpUJIhPUozoTTr7HNNxYVjNXZSiqWpGlaOhpGO4H9Hy5+DzC2J2WxGoVBIiy/QrJHbpCN5JB3N57aBQejsNBiKCqlUQ5AoCUrVObc2V5KWXIfSQmoPNP8OlD+P4tMhf9D38zLMWU+Q6zSHSZsnsbDnQiyUV95KRxsVhc+Sb0h96mmSR4zEZ9FCLENDG3q6zY5CqaDNbZ606uzOiZ2ZxKxJ4vdPD+HqZ0vH3r74t3OWa3JvQYw1Jk7uyuLgumRK8qpw8bGh77OtpCjjdRzZL/7jDzKmvYJlq1Z4L16EytGxQeOLqop4buNzaJSWFCUOx95Kx6cDg1Euuw+sHGDAfGhAEEKnUVFhMGE2iyisHFBblgJ2KFKzCO7nxtHN6ez+NZ6gSFfUzaUsragTlJLTkm96Jk6cSO/evVm5ciUGg4GKigree+89evTowdSpU5k5cyYzZ85k1qxZ540rKCjgrbfeYv/+/QiCQMeOHenfv/9FnWAZmSvFWHvBUSnlyO1NiShCeZ7ktBanQ0k6FKfVPte+Ls0Es/H8cSoryWm19QTPDmDjIb228TjnZ/ezPfYqi+DL++CH4TD6H3Bp1fLnKnPLIZrNtSlv0uvmmvwaa0xs++k0Du5a2t0jqYyaikuosBSwAClyW9aIyC2AvQ88OA9+GI7LnveZM3QywxYbiHQaxf7s+by39z1e7/J6g87Nqm1bfJd9R8ro0SSPfAz9vLnounRpmF0thFKlIOxOL9p0TDyi0QAAIABJREFU9eDk7kwO/J3MmvlHcfTU0bG3L0EdXVHI96ebHkOVkdhtGRz6J4WKYgOufrZ0GxR8Q9RkF3z7Hdnvvou2c+dGCbrVmGuYvGUyWeVZtOFldudbsuLpSJy3vAL58fD476BrWH1sXe1/ucGIjZUDautKwA5Neh6CIHD7kGBWztzP/jVJ3DYwqEH7vmIE6mtu5chtC7Htx1PkpZY16T6dva25Y8ilJ3UlJSVs3bqVb775BgC1Wo1area3335j8+bNADz++ON07979Auf277//pmfPnjjWrgb17NmTtWvXMnTo0CY9B5lbC6OpLi35+r55yFwCUYSyHChKhsJkKEqCwiQoSoGiVCkCa6o+f4xSLTmttnqp76atl6TAaKuvffaSVoqvYEJRYijhRP4JEooTuOOhz9AvHwHfD4YxGxp8M5aRaSjmWueW2vKK5moFdGh9CiW5lfSf0B6lSnK0FMWlVGtrnS6NDWX5lYAUMWkwbfpB57Gw+3Oi/e5g8n0hzFor0uO2Qaw8tZJg+2CGtRnWoF1q/P3xW76c1DFPkfLU03jNmoltnz4Nt62FUFooaHuHF21u8+D0/hwO/J3M+q+Os+ePRCLv86F1Fw+UFrKTe7NRVV7D0c1pHN6YSnW5Ea8QB+59MhR9iMN179SKokje3HnkzZuHdY8eeH38UaNacX2w9wP2ZO3hPpeJ/LzVmmn3hxBV9DccXg53vQz+dzZ4n9raPrbl1SZsrBxQWZoxaJRYZ5YA4OZnS+su7hzemEpItDtOXk2vsC4IAqJZRBDkyO1NTUJCAi4uLjz55JMcPnyYjh078umnn5KdnY2Hh6RU6+HhQU5OzgVj09PT8fb2rn+t1+tJT09vMdtlbk7qBKVUclry9Ut1KRQknnVgC5POcWZTwFh5/vbWbmDvK0Vc2/Q732m104PWuUHpTXUUVxdzouAEx/OP1z9SS1PrP3e1cuWbhz7D+4cnYflQabXZwuoqT15G5tKIZjOC0LxpyTnJJez7M4nASFe8Q8+mGtpklpDlbgEKFagsKa0qBbgyteSLcd8MSN0Nvz3D2Ke3sT/Jla17OtL1tkw+2PcB/nb+dPXs2qBdWri54fvdt6Q++yzpL07GmJeP42MjG2dfC6FQKgiJdqdVlBuJR/KIWZPE5mVx7PsziXZ36wm93RNL3ZWnactcn5QWVHFkUxqxW9OpqTbh186Zjr19r0v144shmkxkv/sehd9/j92AAXjMeBtB1fDv/o9xP7IibgW9vR/hl388ubeNK0+HmmDhi+DbDe58qVH21V2HyqqNYGWPIECZmxb77PL6bboODCI5Np91X8YyeGonVGplo451SQRABIWcltxy/FeEtbkwGo0cOHCAOXPmEB0dzcSJE5k5c+YVjb2YyML1vqolc/1jlAWlrg+MBslpzT9zziNeei7LOn9bja3kvDoHQ3BP6WcHX+nZ3gfU2qs2p7ymnOP5xzmad/SijqyXtRehTqEMDB5IqEMbrAoref7IGzx15DOW9PsQt1/Hw6//g4e/apQjLSNzJYhiXc1t7RtNHLmtrjTy96JjaG3VdB8eUv++ubISu4JqEsNtpR63gnC25rahacl1qDQw6GtYcCeKVWP46JFf6Du3lDPH+uPbKosXt7zI8r7L8bX1bdBulXZ2+CxeTMaUKWS/9x7G3FxcJr1w3c8fBIVAQHsX/COcSTtZSMzaZHb9Es++PxNp3dWDdnfrr7vepjL/jSiKZCWUcGRjKvEHc0EUCerkRsfevs0SOWwuzFVVZEyZQun6f3AcNQrXKZMb9X3al7WP9/e8T7TbbWzfE427nZKPBoQgLOstXQ8eXgzKxl1PdOratORqo5SJBVS52eAaV4YoigiCgNZWTY8nQlk95zA7V8Vz56NN7BfJrYBuDfR6PXq9nujoaAAGDRrEzJkzcXNzIzMzEw8PDzIzM3F1vbAli16vr09dBkhLS6N79+4tZLnMzUpd5FYWlGohqkshNw5yTkiPvFOSA1uULGnm16F1BqdAqV2IUyA4BoCDn+TAXmHK8JVSY67hTOEZjuYd5VjeMY7mHSWhOAFzrT3nObKOoYQ6hWJdZqR89x7K1+2kfNf3GDMz+XzMI4z2XMvYpJ/56d43sPjnLbB2h97vN7uKrcytSX3Nbe0iXVP+m4miyOZlJyktqGbApA7nRQur4xNQiGB0sZCcW6CsqrbmtrGRW5C+6/1mw6ox2O/5kHnDJzB4/k4Cip+mwPJ9xm8Yz7K+y7BV2zZotwpLS7xmzyZrxgzyF0lqyh7vzECwuP4joIIg4N3GEe82juSllXJ4YxrHd2RwbEs6vmFORPTwRt/6+k9hvZUxGc2cicnhyMZUcpJL0WhVtO/hTVh3L2ydbqzsHlNREanPPEvlwYO4TZuKYyOFXdNK05i0eRJ6Gz1VmUPJL6vk5/91xm7bm5B9DIb9KJUPNZK68ojyaiNYS86tyc0a530i5aUFWNs6AeDbVvoOHd6QincbB/wjXBp9zAuoawVkITu3NzXu7u54e3sTFxdHSEgIGzZsIDQ0lNDQUJYsWcLUqVNZsmQJDz744AVje/XqxSuvvEJhodQaYN26dbz//vstfQoyNxlna27l6FqTUlMlOa65JyHneK0ze1xKI65DZSVFXz07QPhgcAqqfQTUr7Q2NaIokl6WztG8o/XO7In8E1SZqgCw19gT7hzOfb73EeYcRphzGA6WDpgrKqiIiaH8z20U7PqAzLg4ABR2duiio6lSW6Dad5IZH8xg0uZJbGn/LPd2eQZ2fy7V/Pb5SI7gyjQ5dc5tc7QCOrQ+lTP7c+jyUAAeQfbnfVZ+6gQASiellEkBjWsFdDHaDYbELbDtY9r73cFrfUN54/dYRnSfzJ85b/LS1peYd888lIqGpRAKSiXub7yBytWVvM/mYCwsQD97Ngrt1Wd6tBTOeht6PNaGrg8FcmxrOse2pPH7p4dw9NTR7m49rTq7Y6Fp4tRKmUZTWWogdlsGR7ekUVFswN5Ny52PtiKkizvqq/2eXANqMjJIeeppalJS8Pr4I2zvv79R+ymvKee5jc9hEk100U1h0Z5SZjwURnjJFti3GLqOh1a9rsrW89KSXaT5hOAiZToUnTmBdeTt9dt2fSiQ9FOFrP/6OAMnR+Kst7mqY9dRV3MrtwK6BZgzZw7Dhw/HYDAQEBDA119/jdlsZsiQIXz55Zf4+Pjw008/AbB//37mz5/P4sWLcXR0ZPr06URFRQHw+uuv14tLycg0lrNqyfKqd6OpKoGsI5BxCDIPQeZhKRpbF4lVWIBzK6mfZeRj4BoKrm2kKGwDJ6gNNs1YxbG8YxzKPcTBnIMczT1KYbW0QKZRamjj2IbBIYMJdw4nzDkMvbVeuiGJItWnTlH+9yqSt2+n5OBx8myDyXdpR7H7aDp1K6bV/RFYhoYiKJXkzJ5N/qLF3OXYGRcrF36L/517e30mpVZt/wRqKqH/3EanWMnIXIzmagUUtzuTnavOEBjpSuR9F6YBl8TFYlSA1kYEoTZyW+vc1qUDXhX3fwBp+2DV0zw2bht7kzxYvjWLsX0n8u2Zj/g45mOmRE1p8G4FQcDlmWdQOTuT9eZbJD/xJN4L5qO6wbouaG3VdO7nT8devpzen82hDalsXhbHjp/PENLZnbZ3ejbZBF2mYYhmkfRThcRuzyDhYC5mk4h3qCP3jPTGJ9Txhm3vVBUXR+pTT2OurMR78WJ00Z0btR+zaGbatmkkFicyPnQm7/1cSv8IT0aEiLBgPHhGQo83rtpeXZ2glOFsWrLa2RKA0vg4OMe5VVoo6PtMO37+IIbVcw7z8MudsHG0vGobUAhgukXSkgVB8AaWAu6AGVgoiuKngiC8CTwF5NZu+oooin/VjpkGjAZMwARRFP9uLvuam/bt27N///4L3t+wYcMF73Xq1InFixfXvx41ahSjRo1qVvtkbi2M9X1u5ajaFWGogIyDkL5fcmIzDkFB/NnPbb3Aoz20HQAurSVH1ilQ6mfZzIhmkbykdFKPnaYypZg1jtv507QBY22bH387f+7U30k7l3aEO4cT5BCEhUKyy2wykXZgPxvXLiL51HFsC0vwS68m3zmcAn13CruMQETA0lqFaIZkjZ6I8PD6Y+uio8mfvwDDgUM8EPgAS2KXkFeVj3OPN8BCB5vekRzcgYtApW7234XMrYH4b7XkJojcJsfms3HpSbxCHOj5ZOhFJ+OVp0+R4QROZgNo3QEpLVmnVqJsism7WivV3y66G+GXscwa8hMnMkpYuVnPgLseYenxpQTZBzEgeECjdu8wZAgqJyfSJ71I8tBheC9ejFrvdfV2tzBKCwWtu3oQ0sWdrPhiYrdlcGJnJse2puPmb0vbOzwJjHS9IaOENxoVJQZO7srk+PYMinMr0WhVhN3lRdvbvXD0vLFro8t37yZt/HModDp8l32HZavG16bOPTiXTambeLbdi8z/U4W/syXvP9ga4fsHpEW6QV81yT3ybOTWBBZaUFigc5D2W5UQf+H2Dpb0Gx/Bqg8P8Mecwwx4sQNW1ldpxzmtgG565xYwAi+KonhAEAQbIEYQhPW1n30iiuKH524sCEIo8CjQFvAE/hEEoZUoiqZmtFFG5pbgrKDUjbma2uyUZEDqHkjZIz1nHTnbE9bOBzwjoP1Q8OgAHhFg3YT1KpfBZDKRfPoUGccTIbkSlzxbdCZLXFFhxoFu1eE4dfeig2sHIlwicLA8PzpTnp/HsT9/J2HPDtJzs6mpVTZUYkGhzpKszi8iCBY4eVkT2c4Jv3Bn3Pxs2bs6kZg1SZQXVaOzl9oeWHXogGBhQfnuPTw4bhBfHfuK1fGreSLsCbhrijRZ//sVMFbB4CVg0QSrwjK3PBf0ub3K61jCwVzWfRmLo5eOPuPCL9l6xpyQTKqzQBdDFTicjdxedUryubiFShHcPyZgvfcz5g1/mofm7eD0ibuJ9knm7d1v42fnRwfXDo3avU2PHvh8/RWp/3uGpKGP4rNoEZatWzed/S2IIAh4BNnjEWTP7UOCidudRey2dDYuPcnWFacI6OBC62gPvFo7oJDvdU2G0WAi8UgecXuySIktQDSLeATZEdXPn8AOLk2vvnsNKF79JxnTpqHx88V74UIsajubNIY1iWtYdHQRA4IGsnFvK8qqi1k2JhrdjplSpsagr8DRv0nsPq/mVhDAygE7oYZMW9AmpVx0jJOXNX3GhfPH3MP88uEBHpjQ/uoiuLdSWrIoiplAZu3PpYIgnAD+a8nwQWCFKIrVQKIgCGeAzsCu5rJRRuZW4WwrIDlyC0jtdRI2Q+JWyZktrlUIVlmBV0foNhG8o8GrE+icWtQ0k8lEQtwJ0mPjIbkKjwIHdGYr/LAhS13NGfcMFH5avEID8dhrSUSCht6R0fVCK6LZTOrunZz++y9SzpykoKYaBAGVScBS44PSMgxR6YdANqbinwm9zUzUA7ddcHMLiXZn/19JnN6fTft7fQBJsMaqfXsq9uwh4OWXaOfSjt/if+Pxto9Lx+/6LKgs4c9JsPwRePR7UN/Yq/ky156mTEs+tjWdrcvjcPWzpd+zEaitLj4NMldUoMwuIC1YwKmqvF5QqrTaeHViUhcj8jGp/nbTe7Tx7caMh8J4aeURxnqPI8v6DZ7f9DzL+y7H07pxwjPayEj8ln1HylNPkzx8BF6zZ2N9x+2XH3gdY6mzIKKHN+3u0ZOVUELc7kzOxORwak82Ojs1raLdCe7khrO3tSxC1QjMZpHM00Wc2pvFmZgcDFUmdPYaOvT0JqSLB44eN891Pf+rr8n54AO0nTqhnzcXpV3j2xTF5sUyfcd0Il0jsSoZxN7EFD4aHEFI2R7YMRsiH4ewh5vMdq1aiSDUOrcAVg7YGyqIcRQITsm85DivEAf6T4jgz3lHWPVhDA9O7IC9W+Pq8oXaBXNBobwlIrf1CILgB3QA9gDdgPGCIDwG7EeK7hYiOb67zxmWxiWcYUEQngaeBvDx8Wk2u2VkbhbOCkrdojf5igJI2gbxmySntjBRet/aHXy7Sk6ZdzS4h7dIavG5iKJIfPJJkg/HQUIlnnmO2Ji0BOFItqaAFH0+6gA7fMNa0dHr9vMmamV5mVQfzqc8MZv4bX8Sv3sH6XnZGGql+bWiFlubSKqVbUDhhtpOQ3C4FJ11D9Cx6NnVIKZcdNXW3k2Lq58tcXuy6p1bAG10NHnz5mEqKuKhoId4e9fbxObHEuYcJm0QNVpKj/rtGfjuYUkN0rJhqq8yMudyNi259o1GXMdMRjO7fo3n8D+p+IY70eupMCz+I+JUnZCIIIqkOQs4Vpacp5bc5M6tIEjqyekH4OfRDBm3nX0d9SzcksasR99iduxzTNg4gaX3L0Vr0bgJqCYoCL8Vy0kdO47UcePweOtN7AcNatrzuAYIgoBHoB0egXbcPiSYpCP5xO3O5NA/qRxcl4KtixVBka4EdXSVHd3LYDaZyThdRPyBXOIP5VJZYkClURLYwYWQLu54tbq5IuKi2UzOrA8oWLIEm9698Zw1E4VG0+j95VbkMmHTBBwtHRmon8bEZfE8GuXNw61U8MVYcGkDva+sLeiVIggCOrWqXgsAKwfsqkrJcIK2sbn17YAuhmewAw9NiuSPOYdYOWs/PR5v0zgVZYUA5tq0ZNH8n8dsKZrduRUEwRr4GXheFMUSQRC+AGYg6R7OAD4CRnHxtdgLm74CoiguBBYCdOrU6aLbyMjInOWWE5QymyHjAMT9BfEbpZpZRFDbgP8d0OV/ENBdEoBq4YuwKIok5SRw5tBRqs8U455ji3u1MyE4UWhRSoZHIZpgkcCIMDq633HJ/eSdPE78P2vxIor1735KQtlRVCYRa0sPrKzDqTIHYVZYYe2pIzzCGf8IF1x9bM5L6dSHhpF0+OAljxES7ca2H06Tn15W359Q1yWavLlzqdi/n9539mbW3lksP7mcd29/9+zA9kOllOSfx8DS/jDyl2ZThpa5+TGbzVJUQGxcK6CSvEr+XhxLTlIJ4d31dBschPIyWSzVZ04DUOChQ1OQdp5acpOmJddhaQuDv4bFPeG3Z3l74LccSStm1u8FvPXoO7y66wVe2f4KH3f/GIXQuAwcCzc3fL/7jvQXXiDztekY0tJwmTjxmk9EmwqVhZKgjpIjW1lmIPFQHmcO5HBwfQoH/k7G1sUK/3BnfNs54Rlkj1IlZzIZqoyknSwk+WgeiUfyqCytQaVW4BvmTGCkC37hzjelMrW5upqMqVMpXbMWh5EjcZs2VVpAayRVxiombJxAqaGUj25fxHNLUgj1sOXNfq1hxcNgKIcn/myS/vT/RqdRnhO5tUddkk6eixpVVTXGnFws3C5sO1qHi48ND7/Uib8XHeOvL47SoacP0Q8GNOy7IQggImXXIPUlF4Rr+z/TrM6tIAgWSI7tMlEUVwGIoph9zueLgNW1L9MA73OG64GM5rRPRuZWoeZWEJSqqZJS+07+CafWQlk2CErQR0H3qRBwN3hFtnhkFqCkqoQjR/ZREJuOXZoFfuWetMGJKoUNWc5FpPiX4dO+NWF+fpecaJpNJlI2rOPU+rUkpyRQUrv2N8CnLV42YeRbhlJl9KBKocAj0A7/CBf8I5yxd730zdSvXSSbly6iJDcHW5cLb4BBHd3Y/tMZTu3NpusAybm1bNcOwdKS8t17cL/3Xh4NeZSlx5cyrM0w2jq1PTu47QApzfvHkbBsMIz8FTTWV/FblLlVEc2m2rTk2jeu0Bkzm8wc2ZTG3tWJCIJA77FhBHa49ETvXAxnzmBSCpjcnaCA8yK3ztbN1FbHswPcNwPWTsXq4CLmDR/BA3N2sGyTDS/c9iIfxfwfnx/6nPEdxjf6EEprHd5ffE7W2zPIn7+AmrR0PN57F4X65hKAs7JWE3q7J6G3e1JVVkPC4VziD+RybGs6hzemYmGpxLuNI75hTni3cWwa1dgbAFEUKcquICW2gKSjeWScKcJsFLGwVOIb5kRQpCs+YU7/mdVwo2MsKCDtmWepPHQI1ylTcBz15FUt8JhFM69uf5XY/Fg+vOtjZv9VTo3RzLzhkVju/lQqf+o/B1ybp9Zdp1FRXl0rT2TlANnHKXG3B6oxJCb+p3MLYOdixcApkWz/6QwH16eQHJvPXcNC8PxXa7RLIQjS/1Xd4oBoNjd7h4jL0ZxqyQLwJXBCFMWPz3nfo7YeF2AAcKz259+B7wVB+BhJUCoY2Ntc9snI3ErUR25vopQiAEw1UqrxsZWSU2soA7U1BN0LrftKz9qWb6VlMps4nhFLwsFjcKaSwDwP/Ew2eONLtl0hGRHl6MODCQgJIMjiP1Iji4o4teon4ndtJ7UwF4NSgSCK2CiscXUIo0IZRr7JEju1Nx7Bdvi3l1batbZXNlH1i4gEIOnwAdrd2/uCz7W2anxCHTm1N4suDwYgKAQUajXayEgq9uwBYGzEWP5I+IOZe2ay9P6l508SQnpL4hk/Pg4rhkkpyrLIlEwDaahasiiKpBwvYNeqM+Snl+PT1om7hrbC1tnqio9ZfSaeAldL7K1q6+805whKaZpxgSx6nDQZXjedoNHRzHgojMk/HaazfzQPBT3EgiMLCLQP5H7/xvXeBBBUKtzfehMLbz25H32MMSsL/dw5KO2vbDJ7o2FpbUFoN09Cu3lSU20i7WQBScfyST6SR8JBqXGHrYsV+lb2eIU44BXigM6u8emp1xOiKFKcU0n6qULSTxWRfqqQimIDAA7uWtrd7Y1vmBMegXa3RCS7OiGB1LHjMObk4PXpp9j2uu+q9/n5oc9Zl7yOSR0ncfCknpjkeD4b2gH/8sOw+T0IGwQdRjaB9RfHWnN+WjKVhVTpA4A8DEmJ6LpEX3YfKgsl3YeF4BvmxNYVcfzy4QFad3GnU19/7Fwuc92sLYOqc27NZjPXemmkOSO33YCRwFFBEA7VvvcKMFQQhPZIa7BJwFgAURRjBUH4ETiOpLT87I2qlBwXF8cjjzxS/zohIYG3336boqIiFi1ahIuLlNP+3nvv0adPnwvGr127lokTJ2IymRgzZgxTp05tMdtlbk5uqsitKELKLjj6E8T+CpUFYGkPYQOhzYNS2rGq5ScmBVUF7I3dQeHRdBzSLGld5kdHvClXVZHvVYHQVk1Qx3b4Wv/3jaIkJZkTPy4n4XAMWVUVmBUCKrOIndYdlUN7yozBGEwaBCsVAeFOuFgqUR3OpfeI1igbOCFz9NJj4+xC4qGYizq3AMGdXEk+lk92cgnu/tJEX9u1C7kffYwhNRUbb28mRk7kjZ1vsCZxDX0C/nVNa/MAPPQ5/DIWfh4NQ5Ze81VdmRsLc51zexlBKZPJTNLhPGLWJpObUoqNoyX3jw3Hv71zgyMz1WfOkO6ixMmiVjinTlCqqgab5mw5Iwjw4DyYfwesHMWgsVvZGe/FZxvP8M2o/5FSksJr21/D09qTCJeIqziMgPNTT2Hh6Unm1GkkDR2G98IFqL29Lz/4BsZCo6zNanFBHCaSn15GelwRaXGFnDmQy/EdUuzF1tkSVz9b3PxscfWzxcXH5oaIZlaV15CTXEJOUik5ySVkJ5XUO7NaWzVeIQ54BtvjE+rYoMWem4Hy3btJmzARwcIC36VLsIpo/PenjtUJq1lwZAEDggbgb9GXtzbvY2hnb/oHW8L8MVKf+36fNGv5k06tOk9QCkMpuDhiUCuojk9o0L782zmjD3Fg35+JHNmYRtzebEK6uBNxjzfO+ktkXtUKSinOjdxeY5pTLXk7F78F/fUfY94F3r3U5zcKISEhHDok+fMmkwkvLy8GDBjA119/zQsvvMDkyZMvOdZkMvHss8+yfv169Ho9UVFR9O/fn9DQ0JYyX+YmxFTXCuhGrrktz4ND38OBJZB/RhItCrkfwgdDYI8W76sqiiKJRQkcjtmL4UQhfrluhBlcAXvybUrJb2/Ep0MgXkF6hMv83guPxxK78gcSThwl12QAQcDSJOLqEAAOnSgu9aJcVGCt1RAa4YJ/e2c8g+1RKhUY0krJOZxLdVIx2ogrS7msQxAE/CIiidu5DZPRiFJ14S3Br50zCqVAwoHceufW7oEHyJ39KYXfL8ft5Zd4KOghfoj7gY9iPqK7d/cLRW8iHoXKIlj7MvzzppR6KXNdIgiCPbAYCENahB4FxAE/AH5Ii9JDaoUgWwSxVi35Yq2AzCYz2UmlxMfkcGpfFpWlNdi6WHH3yNaERLs3KhplrqigJi2NpCBLnJS1/8saG0RRrI3cNrNcidYRBn0JX/eB1c8zo/8CDqcWMeXH4ywf9wHjNz/BhI0T+L7v93hZX13fWru+fbFwcyPt2fEkPfIo+nlz0XZoXNuhGw1BEHDW2+CstyGihzdms0heainpp4rITiwhO6GEM/tzpG0VAvauVjh66nD00OHgocPRU4e9i/aSraSak5pqE4VZ5RRmllOQWUFhVjn5GeWU5FbWb2PvpkUf4oBHkD1ereyxd9PeNPXVDaXo51VkvvEGaj9fvOcvaJJ+zwdzDvL6jtfp5NaJp9tO4cE5uwlxs+GNfqGwcgSU5cCY9c0uqKjTqEgrrJBe1Gaq2VpYkeapxvbw4Qbvz0Kj5LaBQUTc482Bv5OJ3Z7ByZ2ZuPjY0LqrO75hzudHc4VaQalzOjZca276jtebvllITnLDVi4uh6tvAHc/8fQVbbthwwYCAwPx9fW9ou337t1LUFAQAQEBADz66KP89ttvsnMrc1UY61oBXYVgwjVBFKU62phv4MRqMNeAdxe440UIfbDF28wYzUYOZR7k5IFDKE9VEV4QSJRJT43gToF7JZWhWnw7tkHv+N81eaIokrdvL8d/XUnCmZMUCNKsXWcW0LuEIjpGk5/vSJEItmpL2vd0JbCDK65+NhdMTiw8rBHUSqoTSxrs3IKUmnx0w99knj6Jvk3YBZ9rtBboWzsQfzCHrgMDEQS50d8iAAAgAElEQVQBC3d3bO7rSdHPP+Py3HgUWi3TOk/jsTWP8UnMJ7za5dULD9RlnLQosfMzcAqCjo832FaZFuFTYK0oioMEQVADWqSsqw2iKM4UBGEqMBV4uaUMEs1mEARqqowgSH1q89LLyE0pJeNUIYYqEwqVgH+4MyFdPfBt64jiKrJUquPjAYh3MNBJWZsNobGlssaEWaR5BKX+jU8XuPsV2DgDnf9dzB02gIfm7eDNX5OYO3AeI9eMYPyG8Xx7/7dYq6+ull3bqRO+y5eTOm4cKY8/gce772D3wANNdCI3DgqFgKuvLa6+Z52R8uJqcpJLyUkqIT+9jLzUMuIP5p4nd6q1VWPjZImNo/TQ2Wuw1KnQ6CywtLbAUmuB2kqFUiWgVClQqhT1CzSiKCKaRcwmEZNJxGgwUV1hpLq8hqra58rSGsoKqygrrKa0oIqywioqS2vOs9vOTYuL3prQbh64+tni6mODRtvy+hLXG6LZTO6nn5G/YAG627riNXs2SturdzbTStN4ftPzeOg8+PCuj3lm6TEqDCbmDe+A5YFFcGqNpIzs2fwLRdYaJeWG2sitTsoMtRfUxHkrCNh1HHNlJQqrhkfpdfYa7nikFVF9/Ynbk8WJnRls++E02344jb2bFvdAO5z11jiVGhCMZup8WtF87XV+b3rn9lqzYsUKhg4dWv967ty5LF26lE6dOvHRRx/h4HC+gmh6ejre56QF6fV69tTWtsnINJazack3yKqtqQaO/Qw750D2MSntuPNTUo+4ZhJluBRGs5H9aXs5uf8glqfNtC9uRXdza6qVNZT41KCIdMe3XQD+l1GUFM1mMjdt4MSfv5OUnECRSvpb2ApKfNzDMNtHk59jTZ4Z7AQrInu5EhR5+fYVglJA7WuDIam4UefnG94BlVrDyZ3bLurcAgR2cGXTdyfJSyvDxVtKz3QcMYLSNWsp/mM1Do8Mob1re4a3Gc53J76jp29POnt0vnBHvWdCQbzUB9c5GHxva5TNMs2DIAi2wJ3AEwCiKBoAgyAIDwLdazdbAmymBZ3bGoOR3JQyjlSkEqRRsGbBURDA3lVLUEdXvEOd0Ld2wFLXNJP5ygMHADjjKdBLqN2nxqa+rq3ZI7d13D4JkrbDmpdo81QUbzzQlld+Ocrfh534qPtH/O+f/zFl6xTm3DMHleLqbNIE+OP3wwrSJ0wkY8pLVMfH4zJhwlUpyN4M6Ow0+LfT4N/Ouf49o8FEYXYFBRnllORVUppfRWlBFbkppSQczsVsvPzkXqEQQAFmk3iJviDnY6FRYuNkibWDBhdfG2wcLHHw0OLoocPWxeqy6t+3IubqajKnTaPkrzXYDx6M++vTESyu/hpRaihl/Ibx1JhrmNtjLku357InsYAPB0cQZDwD66ZDSB+pfr4F0GlUVNQJSmml/1M7FBzyqOF+o5HKI0fRRV/kfnyFWFqf7SldnFNJ8rF8Uo4XkHw0j5M7M+mgVeKsEtj1i9Ri0Wy+9hWlN71ze6UR1ubAYDDw+++/8/777wPwv//9j+nTpyMIAtOnT+fFF1/kq6++Om9MXauDc7lV00hkmo46QSnl9S4oVV0KMUtg9xdQkgYuraX6s7BBLSpEVGOuYV/aXk7EHEB3CjoWteZesR1VFgYqgxXoogLxCnFHuEw6miiKZPyzjuOrfyMxNYnS2u3t1Rp8Pdtjsu1EXpYlOdVgj5aO97sSGOmCk1fD+jFq/O0oWZeMsagalX3D6m41Wi1BUV2I27GF7iNHo7qIaqp/hDObl0kRszrn1ioyEk2bNhR+9x32QwYjCAITIiewNW0rr+98nVX9V12YnqxUweBvYGF3WDkaxm0HnVOD7JVpVgKAXOBrQRAigBhgIuBWJwQpimKmIAgXTRForh70xmojolmQWlnlVTLo5U44euqarUVJ+b59iB6u5NsW4CTWfsctbSmrkpzbZq25PReFAgYuhC+6wU9PMPSpjeyM9+Cjdaf4wa8Lr3Z5lbd3vc3/7fs/pkVPu+rDqRwc8PlyMVkzJCVlQ3yC1PtT20zq0DcoKrUSF2+b+mvhuYhmkepKI1VlNVSVn33UVJkwGc21DxGzUeoHqlAqUCgFFMqzUV1LnQUabW3kV6fCUidFfuW54JVTk5ND2vjnqDpyBNcpk3EcNapJfn9Gs5EpW6eQXJLMFz2/IDPXhs827uHhSD2D2trCgn5g7SrNW1ro73WeoFRd5NYMJzyleV/lgZircm7rEAQBezct9m5aInp4I4oiFcUGClaeQkwvQ2mhxFgppyXf9KxZs4bIyEjc3NwA6p8BnnrqKfr163fBGL1eT2pqav3rtLQ0PD09m99YmZua615QylAOuz+XIrVVxeB7O/T7GIJ6ShO8FsAsmtmfuY8DMbuwPGkkqqgtvUztqbIwUNVaiVt0K7yCXRAu8zsURZHsrVuI/XUl8SkJlKokIRwnKy2BPh2p0UWRk66gqhwcbHVE9XEhMNIVR09do2++2vaulPyTTNmOdOz7BjR4fNu7enByxxbiY/YS0vX2Cz63slHj2cqe+AM5RPeX9i8IAo4jRpD56qtU7NmLrks0ViorZnSbwRNrn7h0erKlneTgLr4Xfh0HQ39osb+xzGVRAZHAc6Io7hEE4VOkFOQrorl60Jtr05LtXbUIhVW4+TdfDZtoNlO5bz/VXUKBApzqzkJjQ1mxlAraYpFbkCbKAxfCtwMQ1k7l/YGfcDS9mOeWH+SvCQ+SGJrIt8e/xc/Oj6Gth15+f5dBUKtxf/tt1IGB5HzwfySPGIn+83lYuLs3wcnc/AgKAUudRZNlEcg0nMqjR0l7djymsjK85nyGbc+eTbbv/9v3f+xI38EbXd8g0LoDfb7aRoCzjrf7h8LqcVCUDE/81aJdGnQaFdVGM0aTGZVOitzamoyUWwkoAv2oiDnQLMcVBAGdvYZqew3VORUoVdJio+zc3uQsX778vJTkzMxMPDw8APjll18IC7swBTAqKorTp0+TmJiIl5cXK1as4Pvvv28xm2VuToy1zu111wrIaJAEorZ8AOU5UirPHZNB37HFTDhTeIZtBzZQc6SIqPw29DN2pEZppDJAgW2XYLxCXBEuI0ojiiL5u3ZxbNUPxCecpqg2QuuosaKVfxQm+y5kJomUF4rYWVjRqY8bwR3dcPRsmpphlaMlVuEulO/JwvYeHxRWDbu0+4RHYO3oxPGtGy7q3AIEtHdl2w+nKMgsx9FDstu2bx9yPvyQ/IUL69sNRLpFXj492SMCer0Hf02GXXOh24SGnbBMc5EGpImiWFcLsxLJuc2ua+MnCIIHkNOSRolmMwK138FmjoZUnz6DqbiYwtbSorKT0QiCAiy0lFXlA9JkskUJvBvumATbPsImoDvzhvVk4Oc7mfzTYRaMnERqSSoz987E28ab270u/v1tCIIg4PTEE6j9/Mh4cTJJg4eg/3weVuHhV38uMjLNSPEfq8l87TVUTk74Lf8ey5CQJtv38pPL+f7k9zwW+hgDgx7m8a/3UlJZw7ejO6M7vlxqSXj3a+DbtcmOeSXUXY/Kq03YWdqDQoW9UVLINoUFU7lhF6LJhKBsnkwXQSGc1+fWfB04t/JyeTNRUVHB+vXrGThwYP17L730EuHh4bRr145NmzbxySefAJCRkVHfEkilUjF37lx69epFmzZtGDJkCG3btr0m5yBz83DdpSWbzXB0JcyLkhwc52AYvR6GLm8RxzavMo/vD3zHZwvfIfXTPfRcH0qvnC5oPG2wHuyP7+t3Ejr6Lmzbuv+nY1t09Ajbp05m6cN9WTL7XWJS4xE1GoIDownu8iIG5+dIye9MUb4F7e7WM3haJ4a/1YXoBwKazLGtw+YuPaLBRNnuzMtv/C8UCiWhd9xN4qEYyosuLoIb2EFKdzq1N+vsOEtLnMY+TfnOnZRt31H//oTICfjY+PD6ztepqKm4+EGjxkDrfrDhbcg52WCbZZoeURSzgFRBEOpmhD2Q2vP9DtQpgD0O/NaidpnNgCC1X2jmS1jFvn0ApAdLehhORqPUBkgQKG3pmttz6f6KJKb3x0TCLPN4pU9rNpzM4ZudKcy6cxbB9sFM3jKZ04Wnm+yQNt2747v8ewS1muQRIyn565LNLmRkrimi2UzOx5+QMWUKVuHh+K38qUkd2x3pO5i1dxZ36e9iUsdJfLElnm2n83izf1taK9Lhr5fA/05pEaqFsa4tzygzGKUsKK0TdoZyACra+GIuK6P6dNNdFy6grhWQcAu0ArrV0Wq15Ofnn/fet99+e9FtPT09+eucm0afPn0u2v9WRqax1JhELJTC9VGzk30cVr8AqbvBLRyGr4Sge5s9IlNjrmFrylYO7NmBZ7wtt5W2w0L0pdTRgEV3dzyi/FBeQSpZZXo6sUu+Iu7gPrIFE6IgYK22INgvAqXHnWQmq0ktMGJZrSKkiyutolzxCLQ/r31Jc6D2tEYTbE/ZjnRsbve6bD3wvwm9qwd7f1vJiW2b6PTAwAs+19lrCGjvwtFNabS/16c+7c5h2DAKv1tGzv/9H7quXRCUSqxUVrzd7W2eXPvkpdOTBQH6zZYWOP6YAE+uldOTrw+eA5bVKiUnAE8iLYT/KAjCaCAFGNySBpnPcW7FZv4eVezbh8rDgwybGrQqLVaGCtBIadAtXnN7LkoVPLwY5t8OK5/k8VHr2JWQz6y1J+nk58jcHnMZ9ucwntv4HMv6LMPJqmlq2S1btcLvpx9Je24C6ZNepOrESVyen9hsUSAZmYZiKisnY8oUyjZtwn7IENxfexXhItoRjSW+KJ7JWyYTaB/IrDtnEZNczEfr4nggwpNH2zvBoiFS54aBi65JD/ezkduzdbf2VWUAFLZ2RwdUxMRg2bqZxDhrWwFxHfW5lWcSMjK3ACaz+dq3ATJUSD1OF9wBeackwYWxWyG4Z7M6tmmlaSza9gULP5uF4+Jyhh68my5VESgi7XF9rgNtXuqBW/fg/3RsjaVlnFw4n1XDB7Nw4hi2HN5DkWAm0CeU0NufwcJ7MqlF3UlPsMAv3Jl+4yN44oNudB8WgmewQ7M7tnXY3OWNuayG8gPZDR7r5OWNR1AIRzeuu6TaYVQ/PwxVJg5vPKsLoFCrcZ30AtVxcRT/9nv9+x3dOjK8zXBWxK1gb+beix/U2gV6vQ+pe2D/lw22WabpEUXxkCiKnURRbCeK4kOiKBaKopgvimIPURSDa58LWtQms5m66UpzroGJokjF/v1oozqRX1UgOYjVJVLkFlpeLfnf2HtL183Mwwj/vMkHD0fgamPJ+O8PYKVwYs49c8ivzGfipolUm6qb7LAqR0d8v/4K+0ceIX/RIlLHjsNUVNRk+5eRaSyG1FSShz5K2datuE1/Dfe33mxSx7agqoBnNzyLRqlh7j1zqTZYMGH5QXwctbw3IAxh7TTIPQEDF4DNtalLr3Nuz4pKOWNbIX0/8+0UqNzcqGymuluoS0sGxXWUlixHbmVkbgFqTCKqa9kG6PQ/UvuXomRoPwJ6vt2sKrk15ho2p2zmwO4dBJxx4b6yMBQIVPiAfbdW6Nq6XL6OtqaGjDV/cuz3X0jIz6ZCrUIpiuhdfbBtfR/5RV6kZVSgOCngF25PcJQbfuFOqNTXLqKhCbRD7WNDybokrNo6obRu2E2+Y7+HWD17FrFbNhB+930XfO6styGggwtHNqQScY93ffTW5v77sfxmCbmffopt71716qoTIiewLX0b03dMZ9WDq9BZXCQVO+JROPKDtPARcj/Y6Rt83jI3N1KfWxUCYrNGbg0JCZjy89FGRZFftRYnSycozAatdK2qd26vReS2jjb9oPNY2PMFdv53MndYVwbP38W0VUeYNyyS9+94nxc2v8D0HdOZdcesJsvWEdRqPN56E8u2oWTPeIfEwUPQz53TpKmfMjINoXznTtInvYgoivgsXoSua9PWuhpMBp7f9Dx5lXl81esr3LTujFm6n4JyA6ueuQ2b/2fvvMOjqLo4/M4mu6mbXkkPJJCEHpp0CAFEadItVEWkg1RRiiBSlI7ARxNFEKUHkRaaIi0CoUMCCSGd9N525/tjNgFMUNA0wr7PwxNy587cM5DszLnnnN8J3S9phrQYL2WfVRDGJURuTZPDwQxS8lIxaNiArMuXy84AAVA/rrnVRm61aNFSLhSo1RWjlJyTBntGwA+9QFcPBv8CPVaXmWP7KOsR686v4evVM1FuSuWdK340zPdGt4Ul9tOaUHNka4zr2f6tY5t27Sq/T57It3268uMPG7ieloDS3ILajbrh9tpM4sV+hNw0R66nS5sBngxZ1JLXR9Shhq9NhTq2IAnBmPfyQJ2jIiXg/guf79msJfYeNTmzYyt5Odklzmn8hpsUvQ18HL0VBAHbaVMpiIvj0erVReMGugbMazGP2KxYFl9c/CyjoesyUBfAsTkvbLOWqo8oSmnJQJnW3BbW2xo1bkxidqIUuU2PLYrIpOcUoNCRoadbwSm5HeeCXV3YN5IGpplM6lSTg9di2XHxIR1cOjCu4Th+DfuVNcFrSn1p8759cfn+O8TcXML7D9DW4Wopd0S1moS164h4/wN0ra1x+2lHqTu2oigy+4/ZXI6/zLyW86hrXZdNZ8I4fjueT7rUorZBEuwfB45NoP2npbr2i2Kk+Itza2iFPDMRI7kRqbmpGDb0pSAmhrwnOrGUKoIg1dwWObfaPrdatGgpBwpUYvkrJT84C3uGQ2oktJ4CrSdJDm4ZcDPxJofO78f0qoBfaiP0xdrk2ImYtfbAqO4/qx0XpKVx97tvuf5bIFHqfNQyGUpDA7xqNUVm04qHtwsIvafC2LyAhp1cqNnMDnO70hWEKi3ktkaYtHcm7egDsutaYeBj9dznCoJAm/fe58eZkwkK2EPzPm8Xm2PlaEz1htYEH39I7TYOGJlK/6eGDRti2rsXSd9uwbRr16L6nvo29RnkM4jN1zfTwaVDyWqu5q7QbCT8vgReGwXV6v+re9dSNVFr0pIFkTLNS866cBFda2vkLi4knkvE17YhZMSBsdTGLyM3v2KjtoXo6knttNa1hl3vM3xgAL+HJDAn4CaNXM0ZVnsYYalhrAleg4uJC2+4v1GqyxvUr4/brp1EjhtP1MSPyb5xA5sJExB0K8G/jZYqjSo9nehp08kIDMTkzTex/3xOmfRhXnd1HQH3AxhVfxSdXTtzPSqVhYdu4+9ty6Cm1WBTJ6nGtPdG0KnYtk/GRWnJGqfSyAry0rE1sCEmMwbjVv2IAzJOnMBi4MDSN0AGaNWStWjRUt7kl6dzq1bDb1/Dt12kFhpDD0P7GaXu2KrUKgLDA5m3bQb3Vp+h7+kW+KU3Ra+eBTZjGlBjfGuMGz5b7VhUq3l0/DjHRgxlw6C+/PrbEWJFFa6OntRtNxp9t0mERTfhwa0C3Otb031CAwZ+0ZxmPapXWse2EGVbR+T2RiTvDUWVkfdC5zrU9MKzWUsuBuwiIymxxDnNuldHVaDmzM7Qp8ZtJ01Cx8yMmJmzEFWPd29H1R9FddPqzDozi9Tc1JIXbjleSv88+hmIpdYiVUsVoFAtGSgz51bMzyfzzBkMX2tGgVhASm4KlrrGUJBTFLnNzFVVXL3tX7GsDm8uhYizyE4vZEnfehgodBiz/Qq5BWpmvzYbX1tfZp6ZyZX4K6W+vK61NS7fbsZsQH+SNm7i4fDhFCSXrLSuRUtpkHP3LmG9e5Nx6hS2M2ZQbfGiMnFsA+4FsPrKarq6d+XDuh+SmVvA2O2XsTTSY1GvugiBn0P0Zei2CsycS339F8VIo5b8ZFoygLOhDRHpEShcXVHUqE564PGyMUB4uhWQNi1ZixYt5UKBWo1ueaQlZyXB9v5SexefnjDid3Aqoc/pf1kiP4sfrm9l7vqpyDfHM/hqZ7zEGuj52+M8owVO/RugcDB+5vm50dFcmTeH7b3e5Pu1XxOcHI+hqRl1mvTAofGnRGd3426wAlNrQzoM9mLoopb4DfbGsWb5CUP9VwQdGeZ9PFFnq0j84Tai6sUeNq0GDEJUqzm2cQ1iCY6mma0hvp1cCLkYR8TNxw6wjpkZttOmkXP1KsnbtheN6+no8UWrL0jMSWThhYUlL6pvCm2mQthpCD32QvZqqdqURyugrIsXUaWmovT3JzlHctIsBY0ja/w4LbnSOLcAdftKGganv8Im4Rxf9anLrZg0Fh66jVxHzrK2y7AzsmPciXE8TC/9lERBocB+1izs580l62IQYb16kX2l9B1pLVpSD/xCeL/+qLOycNnyLRbvvVsm3R8uxl5k5h8zaWLXhDnN5yAIAnMCbhCWmMmSfvUwjzoh9WZv/AF4dyv19f8NxQWlJOfWSWHGw7SHiKKI0q8DWUFBZSIEJ2jSkoVK1ApI69yWEcuXL6d27dr4+PiwbNkyAJKSkvD398fDwwN/f3+Sn7HLuWXLFjw8PPDw8GDLli3labaWKkpBeQhKPboD69vDvePQ5SvotbFIZbQ0SM9LZ9OfG1mxZi5ePyp5P6w71QyrYdKrOtVntMHarwYyw5LTg0S1mphfDvDr4HfYMGoogdcukqTQwaNGfWq3n0SexUhCQtzJSlXTtLs7A79oTvfxDajZzB653svZ8kJRzRjzXh7khaWScuDF6m/N7Oxp2X8g94LOcf3k0RLnNOzsgqmNAae236Ug73GU1uTNNzBq1Yr4JUvIDQsrGvex9GF43eEE3A8gMCKw5IV9h4CFOxydKWUAaNGCpuZW8+JEGW0wpR05gmBggHHLliRmSxs2lmrNxo6ykqUlP0mXRWDlCbuH095RYEgLVzafCef47TjM9M1Y5bcKlahi5LGRz86a+I+Y9e6Ny7ZtCIKM8HffI/Hbb0vcFNOi5UUR8/OJ/WI+0ZMmoe/jjduuXRj6+pbJWvdT7jPuxDiclE4sabsEuY6cgOBofgqKZFTbGjS3ypU0ROzqQMd5ZWLDv0FPV4aBXIfkTE2WlpFUiuSsY0yOKodH2Y9Q+rUHlYqMU6dK3wCNoJRME0CpDL/7Wue2DLh+/Trr16/nwoULBAcHc+DAAUJCQliwYAF+fn6EhITg5+fHggULip2blJTEnDlzOH/+PBcuXGDOnDnPdIK1aHle8lVq5GXZCijkKGzoAHmZMOQgNPmg1NIHU3JSWHduDZtWfU3zXY68G90FcztrLAf7UH1ya0waV3tm6nF+QgLBX87jh15vsm3LGm5mpWBmZUudlu9gU3cGEUl+3L8m4uxjSffx9Xn389do9LorSgv9UrG9ojFqYINxawcyz8aQcT7mhc717dIdJ5+6nPh2PSlxscWO68p1aPt2TdIeZXPxl/CicUEQsJ83F0GhIHrqNMT8/KJjH9T9AC8LLz4/+zlJOSV0k9FVQLsZEH8T7miFarRISC9LAoJYNlnJokpF+rFAjFu3RmZgQHRmNAB2Ks1LmiZym5FbySK3IPXX7LMZclJhz4dM6+yJl70Jk36+SnxaDm6mbixvt5yojCjGHh9bqi2CnsSgTm3cdu/CuG0b4hcsJHLMGFSpZeNMa3k1yI+O5sHAQSR//z0WgwbisnkzchubMlkrITuBkYEjkcvkfOP3DaZ6pjxMyuKT3ddo4GzGuPZusPsDKMiF3ptBXnneEQRBwNZEj7h0ze92oXOryTyJSItAv3ZtdK2tyyY1Wfa0oFRlqLmtZJ/SpU9KwD3yojNL9ZqKakaYda3+zOO3bt2iWbNmGGpqAdq0acOePXvYt28fJ0+eBGDQoEG0bduWhQufTtE7fPgw/v7+WFhYAODv78+hQ4cYMGBAqd6DlleLAnUZRm6DNsEvH4OtDwz4sdRauSRkJ/Dj5R/IP5vIG4ktMVD7UOCph42/NwqnZ0eERVEk+czvXP5+M3fjo8hSyNFT6ODp4YuuQwcibqtIuaHCoppAy74e1Gxih75xxQpClCWmnd0oiMsiZW8oMkNdDOtYP9d5gkxG55Hj2TJpNL+u+pq+s75E5y+CMY61LPBqYc+lIw9wqW1BNQ9zAOS2ttjPmU3U+AkkrF2H9ZjR0rhMzryW8+h3oB8LLyxkYesSUpS9e8DxuZK4VK03yraxqZaXAlGt1iQli2USuc2+fBlVQgLKjv4AhKeGA+BaoEnzK4zc5hTgblUJX5tsfaDzl3BgAnrnV7FywAd0Xfk7E38K5ruhTfC19WV+y/lMPj2Zz37/jAWtFyATSn+zU8fUFMeVK0n+7jviFn9F2Fu9cFi2DIM6tUt9LS1Vm/Rjx4ie8SkUFOCw5GtMunQps7WyC7IZe3wsidmJbOq0CUelIwUqNeN+lNrnrOjfAPnvX8GDM9BjLVh5lJkt/xYbE33i0nKkbwrTkjWbcw/TH9LIrhHGfu1J3R+AOjcXmV7paaAIRXIIUpZbZVBL1kZuy4DatWtz+vRpEhMTycrK4uDBgzx8+JC4uDjs7e0BsLe3Jz4+vti5UVFRODk5FX3v6OhIVFRUudmupWoiObel/OsuinBiPhyYIPV4G3q4VBzbhOwElv7+Nd99s5yOB7zo88gfPU9z7Mb74ja06TMdW1VGBne/WcXO3l3ZsvxLrqTEY2hmiVfjPph7TScioTURt1V4NrKh11Rf+n/WROrVWoUdW5AarFu844XC2YSkH++QfbuEiOkzMLGywf+DUUTfvcXJ79aXOKdlHw9MrQw4uvkmuVmPo7QmnTtj2r0bCWvXkh0cXDTuae7J8DrDORh2kNORp4tfUEcXmo+FqD8h/Pfnv1EtVZaiVkBSALfUSTtyBEGhwLhNWwAepD3AysAK46xk0DUAPRNAE7mtbGnJhfgOAe/uEDiXGrk3mdXVm99DE/jfb1JJQme3zoxvOJ5fw39lxaUVZWaGIAhYDBqE69bvEUU1D95+m6StP1SKVEUtlR91bi6xc+cROXoMCicn3PbsLlPHVqVWMf236VxPuM6C1guoY10HgOWBIVyKSOGLt+rglBoEp+tK8IEAACAASURBVBZBvQFQv3IGmmyfdG4VxqCrj31uDrqCLhHpEQAo/fwQs7LIPHu2dBfXeLeySiQoVUk/pUuPv4uwlhVeXl5MnToVf39/jI2NqVevHrrPKZFf0gOgLIrmtbxaFKjUyEsz4qFWw8FJELRREjTpuuw/y+Gn5aXxw5/fk/NHHG8ktsRQbYBYyxDbzrWQ/406cVZICFfWruZW6E1S9BXo6ICTozcKJ3+i7+kRFqrG1k1Bu/dcqeFrg6KyvpyWITKFDlZDfHi0/hqJW29hNdAbfU/z5zq3Vos2xN4P5c8De7B2caeuX6enjiv0dfEf5sPuRX9yctsdOg7zKfrMsv30UzIvXiRqyhTc9+wpUrZ8v877HHlwhM/Pfs7e7nsxVvxFAKz+O3ByAfy+FNxa/fd/AC0vNZJzK9MISpXu81AURdKPHsOoRQt0jKXPmfC0cFxMXDQ9bm2L1kzPKUBZ2dKSCxEE6LpCUnHdOZR+H/7GbyH2fHX4Ds3cLanvZMbQ2kOJyohi4/WNOCgd6OPZp8zMMahfH/fdu4meNp24efPICgrC/vM56JiYlNmaWl5ucu+HEfXxx+TeuoXFoEHYfDwRQaEo0zWX/LmEwIhApjaeip+zHwBn7yWy6kQofXwd6VZdDms/AMsakpZIJcXORI+jaTmSarEggKEVullJOCgdiEiTnFvDpk2RGRmRfvQoyrZtS2/xQjkEncqTlqyN3JYRw4YN49KlS5w+fRoLCws8PDywtbUlJkaqe4uJicGmhNoBR0dHHj7RaDkyMpJq1aqVm91aqialKiilVsH+MZJj22I8dF/1nxzbrPwsNl/eyLpvFuIX4EGfR/4YeFpgO74hToN9S3RsRVEk/ugRDg56m43TxnI2MhSVsRLPep2xrT2FuKwuxD7Qx7tlNfp/1oTeUxvh3aLaK+nYFiLT18VqaG3k1gYkbLlB1rVHz31u67cH41K3AYEb1xB5+0ax47auJjTu6kZoUDw3fosuGtdRKqm2YAH5EQ+JW7ioaFyuI2d289nEZ8Wz7NKy4gvK9aHZR3AvEKK16quvPGp1kYNZ2pu9OdeuURATg7Jjx6Kx8NRwXE1cNT1upXrbvAI1uQXqyldz+yQGZtD7W0iPQdg/mvk9a2Nros+4Hy+TnpOPIAh80vQTWjm04otzX5ScOVGK6JiZ4fjNamwmTyL96FHud+9B5vkLZbqmlpeTlL17Cevdm4KYGBzXfIPt9Gll7thuu7WN725+xzte7/Cu97sAJGfmMWHHFdwsjZjd1Qv2joDsZKmuXe/ZXRgqGlsTfXLy1aTlFComW0HmI5yUTkVK6TKFAqW/P+m/HkKdWYrlmkWR28K0ZK1zW2UpTDmOiIhg9+7dDBgwgG7duhWpH2/ZsoXu3bsXO69Tp04cOXKE5ORkkpOTOXLkCJ06dSo2T4uWFyFfrUa3NASlVAWSWuCVrdB2OnSY/a8jKSq1it13drNo/Wc02GXDgNjOKNxNNU5toxKdWnVODqHr1/Fz765s/d9ybmWnYmnlQM0mQxFsxhIR4Y0g6NHm7ZoMXtCC1v09sfybtkCvGjpGcqyH10XhqCRp220yLjyfyJRMR4c3x03F1MaGfYvmkvDwQbE5vp1ccKltyW877hJ7/7GQjFGTJlgMHULKjh2knzhRNF7Puh7veL3Djjs7uBR3qfiijYeBQgnn1rz4jWqpUjyVllzKby0pu3Yj6OmhbN8OgNTcVJJzk3EzdXscueVxD8lKm5ZciKMv+M2C2wcwvb6F5f3r8zApi5n7pE0pXZkuX7X5Ck9zTyadmsTNxJtlao4gk2E5bBiu27chUyiIGDyY+K++Qsx7sf7bWqom6sxMoqdOI2badAx8fHDbtxdlu3Zlvu7JhydZeHEhbZ3aMrnRZEDaNJ+y6yqJmbmsGNAAoz/XSm3pOn0hKSRXYmxMJIGr+CfrbjMf4ax0JiI9oigr1KxPb9RZWaQdOlRqaxduOBapJWud26pLr1698Pb2pmvXrqxevRpzc3OmTZvG0aNH8fDw4OjRo0ybNg2AoKAg3n//fQAsLCz47LPPaNy4MY0bN2bmzJlF4lJatPxbSiVyq1ZLEdtrP4HfTGg77V87tn9EnmHWd1Ow2ZbP+xE9MLW2wHpEXVzfb1qiU5sXE8ufM2fwXb/u7DsWQLQOODnXwaXBBJKFt3l43xyX2lb0nNSQfp82oXZrh1c6Svt3yAx0sRpWGz0Pc1J2h5Lyaxii+p/r4fSNjen1yefoyOXsmj+TtISnNQMEmUCHId4Ym+txaN01MlMfq7JajxuHXs2axHwyg/y4uKLxMQ3GUM2oGrP+mFVcxVXfFOr1gxt7pP7JWl5ZpBczmVTnX4qRW1VGJmkBAZh06YKOqSkgpSQDUlryE5Hbwh6SRpU5clvIa6Ohhj8cnkEjvUjG+Xmy53IUuy9FAmAoN2S132rM9MwYFTiKmIwXU1L/NxjUrYvbnt2Y9e1L4oaNhPXrT25oaJmvq6XyknXpEvd79CQ1IACr0aNx/nYzclvbMl/3RuINppyegpeFFwtbLURHE3Hcej6CozfjmNq5FrXFEAicA17doPH7ZW7Tf8VO49zGPuncZiXibOJMZn5mUXcCg4YNUbi7k/LzztJbXPORXChSp01LrsL89ttv3Lx5k+DgYPz8pDx+S0tLAgMDCQkJITAwsMhpbdSoERs2bCg6d+jQoYSGhhIaGsqQIUMqxH4tVYt81X+M3Ioi/DoFgrdB20+g1cf/6jKhyaHM2f0JyZtuM+J2D+z17LB4pxauY5uj52pabH56cDAnR7zPxo8GcfJOMFmGBrjUaIeJ6wTiMzuSmWZA027uDJzfnI7DfKhWw0xbo/4cyBQ6WA3yxqipHRmnIkncegt17j8rHJra2PHW9DnkZWez64uZZKY83aZM30jO6yPqkptVwOH/XUeVr9asp8Bh6RLUublEffwxokaF1lBuyKzXZhGeFs664HXFF/QdAqpcCN7+329ay0uLFAkofUGptAMBqLOyMO/fr2isSCnZwA5y04oit/Hp0kujtbL0VEbLDJkMeq4FQwvYOYTRLe1o4mbBZ3uvE54gpSNaG1rzjd835BbkMjJwJGl5aWVvlqEh9nNm4/jNagpiYwnr1VsrNvUKos7LI/7rJTx49z0QRVy+/w7r0aMQdMq+p3x0RjSjA0djrmfOKr9VGMolHYjbsWnMPXCTNp7WDPU1h51DQFkNuq18KRT7bU2kz6W4tMJ2QJZSWrKxJFBbmJosCAJmvXuTfeUKuSEhpbO4Rs9FR0eblqxFi5ZypEAtIv8vkdvjc+Hiemg+BtpMeeHT0/PSWXFyKefW7GfYhdfxUlXHuKsL7lNbYVjH+imHVBRF4o4d4cC7/dj0+TT+TI5FYWqFo2cvMB9DXGIDrBwteX1EHd6b9xqNurhiZPoSvHBWMgQdGWY9amDa1Z2cW4nEr7pMfuw/1+HYuLrTc+pM0hIf8fPcGWSlpjx13MrRGL/B3sTcS+X497eKXlz13N2xnzOb7KA/ebT8sVprc4fmdKvejc3XN3Mn6c7Ti9nVBscmELRZ2mDR8koiimoEQYrcCqUkjCeKIsk/7kDPywv9unWLxsPTwtEVdHEofD3SRG6jUyTntpqpQamsX+YYWcFb6yHpPjq/TmZZv/ro6sgY9+Nl8lXSy2cN8xosbbeU8LRwJp6YSL4q/x8uWjoo27fHff8+DJs1JW7ePB4O/5D8ErpHaKl65Ny5S3ifviSuX49Zr7dw27sXQ1/fclk7JSeFEcdGkFuQy2q/1VgZSP1gc/JVjN1+GRN9OV/1rovswDhIi4bem6Q69pcAG6UUuX2qHVBBDs76lsBj5xbAtEd3kMtJ2VlK0dvCyG0lUkvWOrdatLwCFKjU/74V0IX18NvX4DsY/Oe+0C6mKIr8EnKA/61dzOuH69AyoyHyVta4Tm+JWQtnhCdsElUqIn7czq6+Pfhh3XLu5GVgbuWKnccQcgyGkZbuTt22zrwzpxndxtbHvb51UY2Hln+HIAgoWzhgNawO6uwC4ldfITMo9h8jKY5etXlr6ixS4+P46fNPijm4NXxtaNrdnbsX4gg6GF40btq1K2Z9+pC4fj0Zp04VjU9pPAUTPRPmnpuLWvzLg7HRUEgM0bYFepUpcm4ptShKTnAwubdvY96v31Obaw/SHuCodERemAqvidxGp2QDYG+mXyrrlwturaD1FAjeTrXwvXz5Vh2CI1NZGfg4YtPUvilzms/hfOx5Zp+dXW5RVF1ra5zWrsVu1kyyLl4krGs3UgMCtFHcKopYUEDC/9YT3rs3BQkJOH6zGvu5c4sUysuanIIcxhwfQ2R6JMvbL6eGeY2iY/MP3uJuXAZf962H9Z0f4OY+aP8ZODUuF9tKAwOFDib6usV63ToIusgEWVE7IABdCwuUfn6k7t2HuhRq3ws3HAWZNi25zKnqH5BV/f60lC4FavHftQK6dQAOToaaXeCNJS/0Ynk3+S7zt32K5fc59Iv2R7eGMY6TmmH7Ri1kT9TDqnNzufvNarb37srPu7fyUFBhY1cbc6ePSBf6oBaq0aqfB4MWtKBlXw/MbA1f/D60/C36NcywHdcQhYsJyTtDSP75Luq8v09TdvKpy1vTJAf3x1lTSI2Pfeq4b2cXajWz40JAGLf+eFzTZzvjE/Rq1SJ6ylTyoyVlZVM9Uyb6TiT4UTB7Q/c+vZBPD9A3g6BNpXOzWl46RFGUUm3VYqmlJSf/uAOZoSEmb7751HhYapiklJyu+XnWRG5jUnNQ6uliov+S9cVuMwVcWsIvH9PFPoPevo6sOhFKUPjjOvZu1bsxsv5I9t/bz8rLK8vNNEEQMB8wALfdu1G4uRE9eQqRH418qi5fy8tPzu3bhPftx6MlSzBu2wb3gP0o27cvt/UL1AVMOT2F4EfBLGi1gMZ2j53WE7fj+e7sA4a2cKONSRwcmg7V/aRe6y8Zdqb6xZxbeXYa9kb2Re2ACjHv2wdVaipp+/f/94U1n8k6RZHbfy5xKmuqpHOrr69PYmJilXUARVEkMTERff2XaAdZS4XyrwSlIv+EXcPAwRd6bQTZ89XDZORlsPrkcoK/Ocqga52x1LfEYog3bsOaoWvx+Ge2ICWFq/Pn8X3fbgSc+pVHCh1s7Juib/MRqfmdsHB0oMvIurwzpxl12zlpBaLKGB2lAquhtTHp4EzW5XjiV10mLzrjb89x8qlL7xlzyU5LY/tnk4kPv190TBAE2r5TCycvc05svc39K1LrIZm+Pg5LlyAWFBA18WPEfCkVslv1bjS0acjSP5eSkvNEJFhuIPW9vRUAmYmlf+NaKjXSc1zq3SiWUuQ2PyaGtF9+wbRH96ciRyq1ioi0CFxNXSUxKQBlYVpy9ssVtS1EpgO91oOuHvw8mFmvu+NgbsCEn66QnvM4DXlE3RH08ujF+mvr2XZrW7maqOfuhssPW7GdPo3Mc+e4/8abpOzcWWXf4V4V1Hl5PFqxgrDefciPi8Nh2VIcVqxAtxxFUkVRZP75+Zx4eIJpTabR0fVxy6+EjFwm77xKTVslU9o7SnW2BubQc520mfaSYWui/7jm1lBKR/5rO6BCDF97DX0fHxLWry/SwPjXVMJWQFXybdHR0ZHIyEgePXr+Po4vG/r6+jg6Ola0GVpeEgrUL5iWnBYNP74Nxrbw9g5Q/HO0VBRFjoQe5u4vF3gjriWCTIaigx0Obasj6D5eO+/RI64sXUzwjWDS9OUoDAyxtG1BRk5tMlX61GxiS932Tlg5alv4lDeCTMCkgwsKVxOSdtwhftUVTNo7oWzr9NT/4ZM41PKm35yF7PpyFjtmT6PH5E9x8pFqGHXkMjp/WIf9y69wZMMNuo6ph0NNc/Tc3LCfN5eoCROJ/3oJttOmIggCM5rNoG9AX5ZdWsbs5rMfL1L/bTi3Gm7shiYflMO/hJbKQuGLkiDT1NyWQr/uxPXrEQHLYcOeGo/NiiVPnSdFbiOug0wXDKQX8ejUbOxflnrbv2JSTRKY2tYX5anZLOs3gz5rzzJ7/02+7lsPkDajPm32KYk5iSy4sABLA0s6uZZfG0JBRweLQYMwbteOmBmfEvPpZ6QdPIjdzJkoXF3LzQ4tpUP2lSvEfPYZuSGhmHTriu306eiam5e7HeuuruPnuz8zrPYw3vZ6u2hcFEWm7bpGWnY+3w9rgv7RaZAQAgP3gbF1udtZGtgo9bkXnyB9o4ncFrYDOvzg8FNzBUHAcsSHRI0ZS9qvhzDt+ib/lqJWQJrswMqQllwlnVu5XI6bm1tFm6FFS6UhXyWi+7xpyXlZkmOblwED90rCJP9AbGYsW39ZT5trPvTMb0deLQXOPeuj84TQU05UNEFLF3Lt3h2yFLroG5liYtma3DxP1HqGNO3ogE8rBwxNyrZxu5Z/Rr+GObbjfUk9cJ+0YxFk30jEvLcnimf0DLZycmHA54vZ/eUsds2fSZcxk/Bs1hIAhb4ub46qx+6vL/HLmqv0mNAAGxcTTF5/nayLQSR9+y0G9eth0rkznuaevOP1Dt/f/J6eHj2pZy29eGNXG2xrw9UdWuf2FaPwRam0am7zY2JI+XknZm+9hdzB4aljhUrJUhugQGlzTxPBiUnJoY7DyyEuUyKenaQWQWdX4evWmtHtarHieCjta9nwRl17QOqBu7j1YoYfHc7036ZjrmdOE/sm5WqmwtkZ5y3fkrJjB/FfL+F+t+5Yfjgcyw8+QKbQPhsqO6qUFOKXLCXl55/RtbXFad1ajNu0qRBbdt3dxeorq+lWvRvjGo576tj2Cw85diuOT9/wwiv+V7jyA7SeDO4VY2tpYGeqR3x6Lmq1iKzwvS3zEc6WzqTmppKam4qp3uOuFEo/P/Q8apCwbi0mb3Qpqpl9YQoFpQr73FaCjIsyi7sLguAkCMIJQRBuCYJwQxCEcZpxC0EQjgqCEKL5aq4ZFwRBWCEIQqggCFcFQWhYVrZp0fKqUfC8rYBEUeplG30Fem0AG6+/na4W1ey5upNjq7bT/1JbTPXNsBjmg/vgpkWObXZEBKfGjWLjmKGcf3gPDK0wtOiGqByOiV0TOgypw6AvmtP4DTetY1uJ0DGSY9GvJpYDvVFl5BG/+gqpR8IRC0relTWxsqbfnIXYunsQsGwhlw7uK3rI6RvL6Ta2PvqGcgJWBpOsUWW2nTYVg3r1iP5kRlFbgpH1R2JtYM0X575A9WTtTt2+EHkREu+V7Y2/4giCEC4IwjVBEK4IghCkGSvxuV0eiBqBMZkgaPrc/rfrFUZtrYYX3yQp7HHrauoq1dwaS2JSOfkqEjPzqGb6EqYlP4nfLKjWEPaNYYyvHvWczPhkzzViUrOLpujr6rOy/Uqclc6MOzGuuIJ5OSDIZJgPGID7wV9QduhAwspVhHXtRuYff5S7LVqeD1EUSdm9h3uvdyFl1y4sBg3C/cCBCnNsTz08xdxzc2nh0ILZzWc/JRp3/1EGcw/cpGUNK4bWUsGBCeDcHNpMqxBbSwtbE30K1CKJmXlSOY9CCZkJuJlKwb6Q5Kdb/wgyGZYfjiAv9B7px479+4VllS8tuSyTyguAj0VR9AKaAaMEQfAGpgGBoih6AIGa7wFeBzw0f4YDa8rQNi1aXinyn7cV0MUNcH0ntP8Uar7+t1MjUh+w/Pv5eOwwpFVKQ8TmpnhMaYOhh5TGl3n/PidGj2Dj+OEExT5AMLRD37QXKuMhONVuSs+JvvT9pDG1mtmjI3/56lteFQy8LbGb4IthfWvSjz8kbvklckKTS55rrKT3Z/Oo0agpJ7as58i6FRRoamqNzfXoNq4+ggD7l18hPSkHQaHAYcVyZIaGRI4egyo9HSO5EZObTOZW0i123Nnx+OK1ewMCXP2pHO76laedKIr1RVFspPn+Wc/tMqfoRUkmQ1T/t1ZAfxe1BSlyq5QrsdS3lGpulY/FpADszV7StORCdBVSexNE5HveZ1lvH/IK1Ez6ORi1+nG0xVTPlLX+azGSGzHi2Agi0yMrxFy5jQ0OS77GaeMGREQihg4j6uNJ5MfE/PPJWsqNnLt3efDee8R88gkKFxfcdu/CdtrUclNC/ivBj4KZdGoStSxqsaTNEuSyxyJw+So1E3ZcQU8u46uetZDtGiL9XvTaADovdzJrsXZApg6Q+hAvCylIcTvpdrFzTF7vjMLFhYSVq/597W1h5FazgVClnVtRFGNEUbyk+Xs6cAtwALoDWzTTtgA9NH/vDnwnSpwDzARBsC8r+7RoeZWQWgH9w0th1CU4/Al4dIKWE599LXUB2899z+WVh+lzsw26FvrYj/XFqVtdBLkOmXfvEPjRB2yaNIpLjyKRGTmgUPYGk4HUatmMAbOa8uYoqfZSeAmao2sBmaEci741sRzig6gWSdhwncRtt1Cl5habK1fo0W3iJzTr1Z/rJ47y0+fTyUiWlFnNbA3pOqY+eTkq9i65RHpSDnJbWxyXLSUvKoroqdMQ1Wo6uXSimX0zVl5eSUK2pobI1AHcWkupyZUg7ekV41nP7TKn8EVJJvvvacnxS5YCJUdtQYrcupi4SJ9LT0RuYzRtgKq9jIJSf8XCDbouh8iLuF1dysyu3pwJTWTTmbCnptkZ2bHOfx15qjxGHBtBUk7SMy5Y9hi3aIH7/v1YjRpF+tGj3Hu9C49WrkKdlVVhNmmBgsREYmbNJqxHT/JCQrGfNxeXbT+gX7NmhdkUlhrG6MDR2BjasNpvNYbyp/VCVgSGEByZyvyedbA7/wXEXoMea6Tny0uOrYmULVfk3Jq5QPIDrA2tsdS35FbSrWLnCDo6WH88kdyQEJJ/3FHs+PNQuOGooyNFbitDzW25hEsEQXAFGgDnAVtRFGNAcoABG800B+BJOa9IzVhJ1xsuCEKQIAhBVVk0SouW0kCtFlGL/H1acnYy/DxIepnrufaZSoGhiSGsW7+YxvvsqZPtgU4nG2pOaIfC3piMkBCOfTiUjdPHcyUpBsHICYVxX+SWA2n0RksGzW+B30AvLKtphaJeVgxqWmA33heTDs5k30wi9us/ST8diah6+mEmyGS06PsuXSdM49GDMH6YPp6YUCm90dpZSbex9cnJLChycA0bNcJ26lQyjh8nYe1aSVyq6QxyVbksCVry+MJ1+0FymJSerKWsEIEjgiD8KQjCcM3Ys57bT1EWz2b1k4JS/6EVUOa586QFBGD5wfslRm1FUeRO0h08zD1AlQ9ZCUWR26hC5/ZlFZT6K7XfkvqWn1lGf/O7+HvbsujQHW7FpD01rbpZdVb7rSY2M5ZRx0aRlV9xzqRMTw/rMaNxP3gQZft2JKxezb3Xu5C6f3+liBS9Sqjz8kjcsIF7nTqTsnMn5m+/jfuhXzHr3fvf122WAo+yHjHi6Ahkgoy1HdZiaWD51PGL4UmsPhFKb19Huuj+CRfWQbOR/5il9rJgZ1oYudVsOpu7QnI4iCJell4lRm4BlP7+GDV/jUcrVlCQ9C82sQojt4WCUqpXoBWQIAjGwC5gvCiKaX83tYSxErfnRVH8nyiKjURRbGRt/XKqmmnRUl4UaNLNnpmWLIqwdySkxUCfb8GwuEy/WlTz09lthK86S/ewluQ76eI0qRn27WqSGRHBkdEfsmn6OIJT4hEM3VAo+6N0HETL/m0Z9GULXutZAyMzveJra3npEOQyTDq4YDehIXrupqQeDCNu2SWybxVvv+bZrCVvz/0Kma6cHbOncf2kVNdj62ZSzME1f/cdTLp1JWHlKjJOncLV1JWB3gMJuB/Alfgr0gW9uoKuvjY1uWxpIYpiQ6RSoVGCILR+3hPL4tksloKglJiXR+znnyN3csJy+PAS58RkxpCcm4yPpQ9kxEuDhZFbTVqy3ctec/sknReAjTfCng9Z2NEGU0M543+8Qk7+0y+m9W3qs7j1Ym4m3WTiyYnkq/OfccHyQeHogMOSJbj8sBVda2uip0wlvP8AMs+dr1C7XgVEtZq0X3/lfpc3iP/qawx9fXEP2I/dpzMqRAn5SdLz0vno2Eck5ybzTYdvcDJxevp4Tj4TdlzB0dyQOW1MYd8osK8PHWZXiL1lgZWxHoLwROTW3BXy0iErCS8LL+6l3CNXVTzbShAEbGfMQJ2VxaOlS1984b+0AqrykVtBEORIju0Poiju1gzHFaYba75qniJEAk/+NDoC0WVpnxYtrwIFmg+aZ7YC+mMl3DkIHeeBY6NihyPTI9mw4Wt899viku+AvGc1an3UhoK8VI5/PJZNkz7i2qMoRH13FMq3sfYcRMf3/Xh33ms08HdGYfBy17FoKRldSwOsBvtgOcgbREjccpOEDdeK9ca1dnHjnflLcKjpxeE1yzi8dgX5ebmPHdyMfPYuuURGci72c+agV7MmUZOnkBcRwfC6w7ExsOHLC1+iFtWgbyKpvt7cB5WgUXxVRBTFaM3XeGAP0IRnP7fL3p4nIreiKCL8i7eWxM3fknf/PnaffYrsGf3hbyTeAMDHygcyYqXBoprbbKyMFejLn6/X90uB3AB6b4a8TCwOj2LxWz7ciUtn0aHiAlLtnNsxs9lMzkSfYdaZWdLvYgVj6OuL6087sF/wJQXx8UQMHsyDIUPIDg6uaNOqHKIokn7iBGFv9SJqwkRkBgY4bdyA07q16Lm7V7R55KpyGXdiHPdS7rGs7TJpg+ovzNp/g+iUbJb28cYoYLj0/OizWer/XEWQ68iwNNIjPv0J5xYgOZxaFrVQiSpCk0NLPFevenUs3n2XlJ27yLp8+cUWLnJuNWrJBRX/bC5LtWQB2AjcEkXxibwy9gODNH8fBOx7YnygRjW5GZBamAalRYuWf0++SoqmldgKKOIcHJsNXt2g6YdPHRJFkYN/7uPm0kC63GtGtiO4TW6Bmaclv8+YyoaRQ7kceR+1nisK5du4NhpG9wmd6PdpE2o2s0fnRfrqanlpMfCyxHZCQ8y6upMfk0n8V+MbMAAAIABJREFUyssk/XwXVdrjHWJDE1N6fTKXpj37cf3EEbbN+Jik6EjJwR3XoMjBzcwWcFy5AgSByNFj0M+HCY0mcDPxJntD90oX8+kJmfHw4EwF3XHVRRAEI0EQlIV/BzoC13n2c7vMUWs2MQr73L5o5Dbnzl0SvvkGpX8HjFs/Owh9I+EGujJdPM09IfmBNGjmDEBUSs7L2+P277CpBV0WQ9hp2sZvZdBrLmw6E8bpu8VTynt59mJMgzEE3A9g2Z/LKsDY4ggyGWY9elD98CFsp08j985dwvv15+Go0eTcuVvR5r30iKJI5tmzPOg/gMiPRqLOyqLaooW47d2DcYsWFW0eIGmATDo1iaDYIOa2nEtzh+bF5hy4Gs3uS1GMbu+B77218PA8dF0GFhXvmJc2dqZ6xKb+xblNCcfLUhKVKqnuthCr0aOQ29sTPXkKqvT0516zcMOxsPZWVQk2nsvy7bMF8B7QXtNS4IogCF2ABYC/IAghgL/me4CDwH0gFFgPjCxD27RoeWUo0NRDFnNus5Nh51Awd4Huq556aXyU9YjNW1bgudMItzxHhK7W1BzUlKDlX7Lh/Xe4cO8mBfqOKIz7UrP1R/T77E26j2+As4+lViTqFUTQkWHcwgG7SY0wbulA1pV4YhcHkfJrGOosKY1RpqNDy/7v0Wv6HDKTk9g6fQK3zpx67OBmFrB78Z9kKSxx+GoxuSEhxMycRRfXLtS3rs/yS8tJy0uTBM/khnBjTwXfdZXEFvhdEIRg4ALwiyiKh3j2c7vMeSotWU1R24nnQZ2ZSdT48chMlNjNmvW3c28m3sTDzAOFjgKS7kuDmpfDmJTsqiEmVRIN3pWUyE/O55PaKdSwMWbSz8EkZ+YVm/pBnQ/oX7M/m29sZsuNLSVcrGKQ6elhMWgQNY4ewXr8OLIuXCCsRw8ix4wh++rVijbvpUMURTJOnybivYFEDBlKflwcdp/PofovBzDt1g1Bp3JkMKhFNbP+mMXJhyeZ3nQ6b7q/WWxOTGo2M/Zcp56TGWNdIuD3pdBwINTpXQEWlz22Sv0nam5dpK/J4TgaO6KUK59ZdwugY2xMta++Ij8mhtg5nz9/v9q/piU/o11geVKWasm/i6IoiKJYV9NSoL4oigdFUUwURdFPFEUPzdckzXxRFMVRoihWF0WxjiiKQWVlmxYtrxKFNbfF0pJ/mSS1u+i1EfQfN/Y+dS2QS0t+oePthmTaq3Ee04iYP/ayYXB/ztz4k1w9OxTKt6jtN4535vbi9Q/rYONiUp63pKWSIjOUY/aGO3YTfTGobUXG6UhiFl4kLTACda60m+ta35f3Fq7AxtWNgysWc/R/q7CopqDHhAYU5KvZ/dWf5Lg1wHrcWNIOHCB5y3dMbzqd5Jxk1lxZAwpD8OwMN/eD6l+2LtBSIqIo3hdFsZ7mj48oil9oxkt8bpeLTYVqyTqFkdvnPE8UiZkzh7wHD3BY/BW6VlZ/O/dG4g28Lb2lgaT7oLQHhRGiKBKdkl01I7cgvZi+uRTMXNDbN5yV3V1Izspj+u5rxV5uBUFgWpNpdHLtxFdBX7Hr7q4KMrpkZEZGWI0YQY2jR7D6aASZ5y8Q3rcfDwYPIfOPP57/Zf0VRSwoIDXgAGE93+Lh8A/Je/gQ208+ofrhQ5j37Ysgl//zRcoJURRZdHER++/tZ3T90QyoNaDYHLVa5OOfgslXqVn1ZjV0940A61rQeWEFWFw+2JjoP05LVhiBkTUkhyMIAjUtanIr8dmRWwDDhg2wGjWStAMHSN37nAk6ms9kHU1a8ishKKVFi5aKJV8TuX1KUOraTqmfbZtp4NAQgMy8TH74cS3221VUz3Yir6MSQecOm0e9x6mg38mWW6FQdqPhG5MZtGAA/kN9sKhWMX3stFRudC0NsOhXE9txDdGrbkba0QfELrpI+u9RiAVqlJZW9PlsPo279+Zq4CG2ThuPWhXPW5MaItORsXfJJfL9+6H09yd+8WKcbybRy7MX229v517KPSk1OSsBwn+r6FvVUsYUqSULOpqs5OfzbpO3bSNtfwBWo0dh1Kzp386NzIgkLS9NqrcFybnVpCym5RSQmaequpFbkGrZ+2yGjHi8zk/lY39PDt2IZc/lqGJTdWQ6fNnyS1o6tGTO2TkcCjtUAQb/PTpmZliPHUuN48exmTKFvPv3iRg6jPDefUjdvx91bnFRnVcZVUYGSd9v5V6nzkRPnoyYn4/9/PnUOHoEi4HvIdOrfHWpa6+u5YdbP/Ce93sMr1uySNymM2H8cS+R2W/WxOnkOMjNkH7OFYYlzq8K2JrokZCRR15h9LRQMRmoZVGLu8l3/zFt2OrDDzFs1IjY2bPJuvQc9beyp2tuq7yglBYtWiqegqKaW82ve1o0/DIRHBtDywkA3Iq8QeDS7bS54kOmRT65LhEcWzOHo6cPkyU3QU/ZhSa9pjP060G0facWJlZVNIqhpVSR2xlhNdAb65H1kNsZknrgPrFfBZF5MRaZoEPrtwfT+9N55OVks23Gx4RePEzPifXRM5Kzf8VV1MOmoefhQdTEiXxk3g1DuSELLixArNEBFMba1ORXgKf63D5nK6C0gweJm/cFxm3bYvXhh/84/2biTYDHQjRJ96V+sEhpjQDVzKr4Z161BtBxLtw9xHC9IzRyMS8S4fkrch05S9ouoYFNA6b/Np3TkacrwOB/RsfYCMuhQ6h+7Ch2cz9HnZVF9JSphLZtR/zXS8iLLO68v0rk3LpFzMxZhLRuQ9wXX6BrbY3j6lW4B+zH7K2eCApFRZtYIj/c+oFvrnxD9+rdmdRoUokbXnfj0ll0+A7+3rb0yd4JYaegyyKw8aoAi8sPJ3PJcY9M1rTtesK59bb0JkeVQ3ha+N9eQ9DRwWHFcuR2dkR+9BG59+79/XzNv7/wKrUC0qJFS8XyWC1ZALVaavujyoee61DLZBw4+jN5a8Oom1KDOMsH/HlxC4cCd5Guq4++0p8WA2bx/vIPaNm7JkamlW8HV0vlR8/ZBOsP6mL1fm1kSgXJu0KIXRJEZlAczt71GLhoJdUbNeH01k0cWfcFHYe5YGKpz8ENd1GNW4ggl5M+bjpjawzlXMw5jseelXoT3gqQfpa1VFmeVEt+nlZAGb/9RtSUqRj6+uKwbOlz1QfeSLyBXCbHw8xDiu5kxBVFbguduyqblvwkTUdAzS7Ijs5kZVsBlVpk8s5g1Ori6bwGugas9luNp4UnE09OJCi28laSyRQKzPv0wf3gLzhv2oiBb0MSN27knr8/D0d8RNrRo6jzitcYV0VUGZmk7N1LeP8BhPV8i9R9+zDp3BnXn3/C9cftKP38KrRX7T8RcC+ABRcW0N6pPbObz0ZWgnx6vkrNxJ+uoNTTZXGTTIST86W68gbvVYDF5YurleTchidmSgPmrpAaCap8alnUAv5eVKoQXQsLnDasB7mciA8+ID/mb/R9i9KSNc5tVa651aJFS+WgUC1ZriODixvg/gnoOI9HciV7Vm+kfqAdOqKK81E7ORn0I6mCgIGyLW3f+5wPVo2iaTcP9I0qT62NlpcX/Rrm2Iysh+VAb2T6uiTvvEvs10Gob2fx5tipdBwxlpiQu+z8fCJ12+Ri6WjM0Z3R5I77irzoaF5b8weeyuosvriYHK83QVRBYsmtDbRUDYrSkmWCphXQs53btEOHiBw9Bj1PDxzXfPPMtj9/5WbCTTzNPZHryCE5TBq0qA5AdIpUv1al05ILEQTovhqMbbA/8hGzOjpxJjSR7889KHG6scKYtR3W4mDswOjjo7mRcKOcDX4xBEHAqHlznFatokbgMSw/HE729etEjRlLSMtWxMycRVZQUNGGSlVBzMsj/fgJoiZ+TEjLlsRMm44qJQXb6dPwOH2KavO/wKBOnYo28x85+fAkn535jKZ2TVnUZhG6spLbDK48Hsr1qDQWdXHE7OBHYOYi1ZW/AmKXrpZSqVh4whORW1ENqZG4mbqhp6PH7cRni0o9icLJCef/rUOdmkZ4/wHPViAvjNwiALJK8fujdW61aKniqDS77iYZ9+HoTKjhzzmdGtxbcpqmkbUIT7/KsXubicyLxVDZgg5D5/Hhmon4dvFAoa/tUauldBEEAQNvS2xG18dykDcyA12Sd4UQt+QS7kZ1eXf+Mszs7Dn0zSKMlb9h56bP6ZPZpA/7gqw/zvLZn85EZUSxJS8GJoVW+TSzV53HkVudZwpKiaJIwtq1RI2fgL63N84bNqCjVD7f9UWRm4k3n05JhqLIbUxqNjoyARvlK+DcAhhaSCKDKRH0jV1CGw8rvvz1FvcfZZQ43VzfnP/5/w8zPTNGHBsh1cS/BMjt7bEZPx6PkydwWv8/jNu0ITUggAfvvse9Dv7EfbmAzHPnEPNfzswQdXY26SdOEPPZTO62ak3kyJFk/vEHpj174PLDVtx/PYjFoEHomJr+88UqAedjzvPxyY/xsvBiefvl6OmUnEUW/DCF1SdCeatBNfzuzIaMeKnOVv/VEL20MFKg1Nd9OnILkByOrkyXmhY1uZrw/Ari+t7euPywFUSRB++8Q+bZs8XmFLUCEkRAqBStgLRvrlq0VHHyVWp0KaDuxank6BpyWPU69X5Sk19gzKmEn4jNjsLIuCEtBvTFp52npEqqRUsZIwgCBl6W6NeyIOdOMmnHHpC8OwQdMz26dZ1EcNhxzu//CVPrG9g4deXibSU+3adis2sho9+rzQadTXT36Imdrl1F34qWMuQpteQSWgHlx8UR+/lcMgIDMenaFft5c19IAOdh+kPS89OfFpOCoprb6JQc7Ez0i1LuXglcXoN20xGOz2OFf3NaRzox8adgdo54rbjqPmBrZMt6//UMOjSI4UeGs+X1LTgqHSvA8BdH0NXFuFUrjFu1Qp2ZSfrx46QeOEDytm0kbdmCzNgYo1YtUbZti+FrryG3salok59JXmQkGSdPkXHqFFnnzyPm5SEYGqJs3x6TN9/AuEWLSqV4/LxcirvEmONjcDZx5psO32AkL1nIMidfxYSfrmCj1OML+9/h+CFJGblag3K2uOIQBAFXSyPCEjTOrdnjdkAAvja+bL21lZyCHPR1n2/DTr9WLVx3/MjD4R8SMex9LAYPxnrsmMeZMYWRW0EABERVxUdutc6tFi1VnAK1yGjdvcSnJhCbPwffW648zLxDUMIxFAY1eH34CLzaef9tup8WLWWFIAgY1LJAv6Y5OXeTST8WQeq++1Q3q4nrgNkcDlxHxNUNWLu24XpyXdxajaXV9jWceluHr4O+ZnGbxRV9C1rKkKf63D4RuVXn5pLy0888WrYMUaXCZupULAYPeuE+24VRjKcit0Y2oCdFfiOSsnA0fwXqbf9Ky4kQ9humJ2awrP0OhvySwrrT9xnVrkaJ051MnFjnv44hh4fwwZEP+Lbzt9ga2Zaz0f8NmZERpl27Ytq1K+rMTDLPnSP9xAkyTp0i/VdJFVru7Ixhw4YY+DbE0LcRCjfXCuntLubnk3P7DtmXL5F1+TLZl69QEBsLgMLFBfMB/TFq3RrDxo2RVVJhqOfh6qOrjAwcia2hLes7rsdc3/yZcxceus39R5ns7WGAwZE5UPMNaPrPgnJVDVcrI4IfpkjfmFQDmfyxc2vry+Ybm7mWcI3Gdo2f+5pye3tctm8nftEikjZtIuP4cWymTcW4TZvHasmClJZcGQSltM6tFi1VHEXsJXxEEVn6KhwQuJB4iEfqfPzfn07N9nUr5MGsRctfEQQBg5oW6HuakxuSQtqxB6jOpvO63VCincP4PWgHCuUd7ot+qOoNZurerYw3/pVbtYfiZalNTa6qqJ+I3Ir5oM5I59GKFST/uANVUhJGLVpgN3sWCienf3X9oNgglAolNcw0Tlvi4zZAAPcfZdC5tv1/vo+XDpkOvPU/WNOCdlen0qP2EpYdu0vbmtb4VCs5ldXD3IO1Hdby/pH3GXZkGJs7bcba0LqcDS8dZEZGKP38UPr5IarV5Ny8RdbFi2Rf+pOM06dJ3bu3aJ5ejRroeXpIXz08ULi4oGttXSpqw+rcXApiYsi9f5/c0Hvk3QslN/QeuffuIeZI9eC61ewx9PXFoGEDjFu0QOHq+p/XrQzcTLzJiKMjMNczZ0PHDVgZPLtX9R/3Evg/e+cZHkXZheF7tqT3ThpJCL2G3kSadEGaIohSBEQRRP1UVBBQBFQEERGkg4AU6b0ovYROIAQC6b33sm2+H5sEYgIpJEBg7uuCTWbeNkl2ds57znnOqtMhjG1pS5Pz48DMEfoteiHybP+Lh60Je69HodLoMFDIwcq9wLht4tAEAYFLsZfKZNyCXn282swZWPToTvS0b4h4bzyGNWtiOXA0YKPfeBSEZ6IUkGTc/ofQ61dxb9gYtCLIBenBX6JKE+R7gawNEdQ1GU2CKoLraX60erM/tV8p201NQuJJIQgCRrWsMaxppTdy/wnDKcSVgXU+4WjsBpKSN2DSrhdGd+T8csCJWqPKZ9RIVA3yPbeakFB0Fpakbj9A7s0tmHXsiM3bwzFp3fqxPqd9Y3xp7tgcuSxPVTkpCLw6ApCcqSI5S42X3Qtaz9vcCQYshT8HMrfaBk6bvMbHm66x68N2GCqKV6FuYNeAJV2XMO7wOEYfGs3K7isfaZRUBQSZDOMG9TFuUB9GjkAURVTBIWRfvkTOrQByAwNJP3KUlC1bC/WT29igcHRE4WCPwtoGwcgQmZFxwStyGaJKhZirQszNRafKRZeZiSY+Pu9fArrU1EJjKpycMKxRA+s33sC4SWOMfXxQOj1/qRmByYGMOzwOMwMzVnRf8cgogLQcNf/bch0vWxM+Uy+BlHAYuU+fP/4C4mFrik7UlwPysjcrVA7I0tCSWta1uBR7qdzjm7ZtS439+0jbv5/E5StIWLIE045fkrp5MyCQ7X+LlG3bsRrQv0KupzxIxi1wPPw4mepM6mc6s3XW13g2aUZ779chXo1FF3cMa1lLRq5ElSLubhSn56+nnnE9XIw9uJlyBVn72rz91vdPe2kSEqWikJEblEr2jQRe7zyXf1YuwaGeJy7zFxAzbRqauDjkZmZPe7kSlUSBcZsQD1ZyTNq0wnXBGAxcHz+nMyYzhvD0cN6s86b+gCoL0qMKPLdBCXoRJS/7F9S4BfDuCu0+wvD0Ala3bUbvfxz4+fAdpvR8eLREE4cmLO66mPFHxjPm0BhWdF+BjdHzY2gIgoChlyeGXp6FjmsSE8kNDEQdEYE6NhZNXDya2FjUcbHkBgYi5uQi5uSgy8nRl+XLR6FAZmCAYGiIzNgYhb09hp6emLZsicLeHoWjE4Y1vDDw8iq1UFpVJig1iHcPvYuBzIDl3ZbjbOb8yPbf7vYnOjWbY51DUZzeDl2mgXvrJ7TaZ48HywEVGLeR943ZZo7N2H53O2qdGqWsfDnYglKJZd++WLz6KhknrpO6Pw2ZsSHkyMgNCyP6yy8xbdcWpePTSU144Y1bURRZ578O/yR/ltVbj8K4EyF+p1CGy2js2BnVqpsoXc2w6OKOUR0byciVeKaJDYzl0ILlOOlMaG7RigxNKncUuxln1Zk9nV7cm71E1UUQBIxqWGFUwwqAPpM+05eEEQS8Duyv0vlkEiVTUApIFBGUSozqelaIYQtwIeYCwP3wvDzvRr6Y1L14vSiLl/0LvnnS+WsIPUP9i1P5oPEyFp8IomtdR1p4PNxgbebYjEWdF/HB0Q/0Bm63FVgZWT3BRT95FLa2KGxtS2wniiKo1YhaLYKBQalqMb8ohKeFM+bgGACWdV+Gu4X7I9sfuhnDlksRTG8l4H5+Bnh1gnaTn8RSn1nyywEFP1gOKCcFslPA2Ipmjs3YELCBgMQAGto/XgkoQRAw9K4BXMG6bz9YcxbDOnXggbD5p8ELL4sqCAJTWk0hW53NvuDfqCE3QWk6jAhNDH/7/0i45T20GSoS1/gTt+gq2TcT9TcmCYlniMg7caz98Ad2z5yBj0Ed6lo2J1h3HnePuagHfQiAQi5tzEg8H+RvMkqG7fNPgVqyqAOxYlPoLsRcwMLAglrWtfQH8pWSbfU1boMTMlHKBdxeREGpB5ErYdAKkMn4OHUOHlYKPtl8jcxczSO7tazWkl86/0JIaghjD48lNTf1ke1fFARBQDAwQGZsLBm2DxCVEcXoQ6NR6VQs77YcL0uvR7ZPzMjly+1++DgZ8E7kdDC00OeJy15s08bG1ABzQwWh+eWA8jUE8mrCN3VsCvBYocmFyBOU0ouSCuTHJIiaR98fKpMX+y8gjxpGdgz16Mmh4IN4Xl9Bzcw7aIWB2Hp25pzfdvaELEbb0gBdjobEdf7ELbxCll8Cok4yciWeHqIoEnYzntUTF/DXN5OwzsnmFefXURqYEOKxlQ7mczEd9BsqQR92onjBb/gSEhJVDzGvZqIAIFKkFNDjkJ9vK8sv1Jhv3FrrPbdB8Rm425gUW/7mhcPKHfouQh5zlQ2eBwlPzmLWvlsldmvr3JYFnRZwN+Uu7x1+j3RV+hNYrERVIyojilEHR5GhzmDpK0upaV3zke1FUeTL7X6kZWtY5bQFIeGO3rA1e3ZLNT0pBEHAw+6BckD5teDj9O9XO2M7PCw8Ksy4zd9wFAAEGfmWkWTcPm3W9GX83YuonW3Z8KYT1a+up6Hcj/SURjjXG4PS2IStm77lptUFLPp7Iqp1JK2/Rewvl8m6Hi8ZuRJPFFEncu9KLKs/+p2t300mK+E8nR1exce2MwG2oZj2iaB9zGro+AVUa4xGq//7VEqeWwkJiSqGTrwflqz/omLGjcqIIjIjkpbVWt4/mBQEJrZgrA+fDYrPxNPuBQ9JfpB6faHFGKr5r2BOw2g2nA/j39txJXZ7yfUlfu74MwHJAbx35D0yVBlPYLESVYWI9AhGHhhJWm4aS7supZ5tvRL7bL8SycGbsfze6C5WAZvgpU+gRqcnsNqqQXVbE0ITHwhLVhhBfEDB+WaOzbgUd6ng/vpY5HtuAQFBMm6fGer0xizsPJ/UH8Uu21BiR/XE4Z8/aOUSQVKUKSa2b9O4W1+uHd3Plg0zEPtZYDOkNuhEkjYEELvgEllX4yQjV6JS0Wl13D4fzcqPlrPzx89JitmHl5EbPdxGYWZiz6XmoXQa1Q7XkzPAvQ201+edaPLC+iTvg4SERFVDfCDnFpEKi0vOz7dt7tj8/sGkewVeW61OJDQxixovsphUcXT7Dpwa8nr4LNra5/D51uukZKlK7NbRrSM/dfiJmwk3GX9kvOTBlQAgLC2MkQdHkqHOYFn3ZaXKAY1KyeabXTd51TWLzvfm6J93Ok55AqutOnjamRKRnIVKo9OX9bKrVeC5Bb1xm65K507yncefLN9zq3fdUpC5KRm3T5l6rwHQJz2Tpg5N+cbVF+O+vTBdP5uOrTSkxOYSG9aIPpO+QavW8Nc3/+Nm2EkcJvlgM7QOCAJJf90mdr5k5EpUPBq1Fr/jEayYtJq9v3xFSuxOTLXZdPIcTHPHXoSaxZP+jgX9BryJwa4J+jtM/6X6GxqgzvPcKiownE9CQkLiSXBfUCrvtYJuY74xvlgZWhUOf4wLAPs6gL6Mhkqre7GVkotDaQSDViFocllmupSUzGxm7vEvVdcu1bvw48s/ciPhBmMOjZFycF9wQlJDGHlgJDmaHFZ0X0F92/ol9hFFkc//vo5Mp+InYQGCXAkDl4P8hdfHLUT1B8oBAfrQ5AeM29bV9AKjpyJPPf5keTdlvRaGgC7Pdyt5bp829rXAsQGC/w6mtJpCiiqVTa9aY9S4EcIvX9Cjvw3Z6SrO7sylz8ezqdG8FSfWr2Lb3Ono3OQ4TmqKzbC6CHIZSX/dJm7hZbL9JeEpicdDlaPh8sFQVn70J4eXziAtfhsGqgRe8u7AS7VHYkN1Tnj70eTjnjSt0wpO/QxhZ6HXT2BdvWAcjTbPcysZtxISElWM+4JSeQcqwLoVRbFovm1GPGTGgaM+JDIoQVJKfih2NaH3PExjzrPG6xjbLkdyxD+2VF1fqf4K8zvN507yHUYfHE1STlIlL1biWSQoJYiRB0eiETWs6L6COjZ1StVvo284JwMT2OSxD8P4G9BvMVhWjHr684TnA+WAAL1xmx6lV0wG7E3sqWtTlxMRJx57roKcWxFAVuC5FdWScfv0qf8ahJ+jjtyc12u9zobgLeTO/Ai5qSnqWR/z6rveiDqRfb/fofXACbwyZgKRAf6s/d8Egq9exKShHQ4TfbB5sw6iRiRxrT/xi6+RczflaV+ZRBUjJ0ON7+4gVn78F8fWziY9YQtKVQxtajTipd4TcNa2IY0MbvZJ4s3R47E2tdbXMDs2BxoMhEavFxpPkxdJIIUlS0hIVDUKjNv8AxWwSXcn+Q4xmTG85PrS/YNxN/WvDnnGbX4ZIDvJc1ssTd6Exm/SOmIFr9sG8+V2P1Kz1KXq2tGtI4s6LyI0LZSRB0YSnxVfyYuVeJYITA5k5MGRiKLIyu4r76uVl0BEchaz9voz0fk2dcI2QOv3oU6vSl5t1aRIOSD7PFGp+NsFbTq4duBa/DVSch7TTinw3FJo81Hy3D4L1Ouvf/XfyQSfCVgaWDI7aAkui35FEx9Pzpwp9J/cCANDBTsXXMXBqw1vzZ6PmbUN2+fO4J/VS9Fq1Jg0tsdxcjOsB9REm5ZLwnI/4pf7kRuW9nSvT+KZJyM5l1NbA1n56RZO/zWPzMS/UORG0KJ6LYZM+RFz45ewvW3M6Wp+OE70oXf7AfowEFUmbBsLZk7Q++cing21JCglISFRRXmwzq3+i8cf89/wfxEQ6ODa4f7B2LzQWkd9aGRQfAaWxkpsTKVyUw+l108Itt7MEn+BzHhm7LlZ6q5tXdqyuOtiojOjGXFgBNEZ0ZW4UIlnhdtJtxl9cDQKQcGqHquoYVWjVP1EUWTKNj+qEc9HmQugWhPoOr1S11qVsTE1wNxIQXCAIjcTAAAgAElEQVRCnnibQ55nPP5+aHIH1w7oRB2noh4zNPkBQanCYcml2+yqDCTjNh87b3BqCDe3Y2loyaSmk7gcd5l/zMNxmjmDLF9fcpYvpP+nTTEyU7Lrl6vkZlswdNbP+PR8lSv7d7Ph609IjAxHkAuYtnTC6dMWWPbxQh2dSfziaySs9Ucdl/W0r1TiGSMlLot/1wew5ovtXNixkOzkDchzQ2jq7MG7P/+OQ4tBZG+JRZ2r4mzHYAZ8OAZPuwc+EA5+CYn3oP+SApXPB7kfliy93SUkJKoWojbfc/tgLcXH41j4MRraN8TO2O7+wbibYGpfUEpEr5RsWlBTWaIYDM1g8CqUualscljD9svhpQ5PBmjh1II/XvmDpJwkRhwYQXh6eCUuVuJp45/oz+hDozGQG7Cqxyo8LT1L3XejbzhnA2PYYLNMX/N68CpQGFbiaqs2giBQ08GMO7F5xq2lOyhNC+XdNrBrgI2RzWOHJhcqBYTsfkqm5Ll9RqjfHyJ8ISWc/jX708C2AfMuzkPRqys2I0aQvH49mqO7GfBJU8ysDdn961WigzLoPGIc/T//hoykRNZ/+TF3zul3QQSlDPP2Ljh91hyLV6qTey+F2AWXSN5xF21GyeqCEs83scFpHFjqx7qvdnNt/xJyUv5ElhNEY3sXRv/0Gy0nzSR43S3MLmk5bX8dxXseDO7xNkqZ8v4gN3fApdXQbiJ4vlTsPPlhyZLnVkJCoqqh1err3MryS1Y85m0sLiuOm4k36eT2n7Ihsf4FIckAQQkZkphUaXBqCN1n4Zlylq+sjpYpPBmgiUMTlndfTqYmkxEHRhCcGlyJi5V4WlyMuciog6MwVZiyqscq3C3cS903Pxx5nt1eHFKuwasLwMarElf7fFDbyZzbMel6Y1MmA/vahYxbmSCjvUt7TkeeRqN7DENU9qB1KxQYt1JY8rNC/bzQ5JvbkQkyvmz1JQnZCSy9vhSHTz/BtG1bYmZ+iyw0gNc+boqFnTF7F10nxC8Br6YtGD53IXZu7uyeP4dja5ejzfvFygwVWHRxx+l/zTFtWY1M32hifrxI+vFwRHUF1JiSqDKIOpEQvwS2z7vM5ln7uX1qOaq0dZBzhwbWjoyaPZ8uC34n9koiiUv8UGXncLDNNfpNHE0j18aFB0u4CzsngGsL6PT1Q+fU6HTIZYLkgZCQkCgRQRDkgiBcEQRhT973noIgnBcEIVAQhE2CIDzROF1dnnErCPlhyY93HzsecRyAjq4dH5xE/9CXF5KcmashNi2XGpKYVOlo8S7U7cvo3HW4ZvmXKTwZoL5tfVZ0W4FGp2HkgZEVU55E4pnhePhx3jvyHg4mDqzpuQY3c7dS980PR27LVfplbIKm70DDQZW42ueH2o7mpGariUvP1R9wqFuo1i3oQ5PTVGlcj79e/okKCUo9aNxqyz/mYyIZtw9i4wUuzcBvMwAN7RsyoOYA/vT/k+CMMFx+nofSwYGISR9hoMngtY99sK5mwv4lfoTeSMTc1o43ps+hSfc+XNq7gy3ffkVG8n0lQLmZAdaveeP4UTMMPS1J3R9CzLyLZN9IkJSVn3O0Gh0BZ6P56ztfdv9ymPCrq1Glr4PsQOpb2DFyxg90X7ICuYE9t348isH5LE7YXCFjhCWj+03ARGlSeEBVFmx+G+RKGLwaFA9/3tRoRUkpWUJCorRMAm498P1cYL4oijWBZGD0k1yMTlNYLflx9+iOhR/D1cy1cK5fcghosgs8t8EJkphUmRAE6PsrgoUzq8wWc+TyHY7eKn14MkBtm9qs6rEKuSBnxIERXI69XEmLlXiS7Anaw6R/J+Ft5c2aHmtwMnUqU/+NvuEEBAbyq9ESvShSjzmVtNLnj9pOFgAExOTVlLavAxmxkHXfLmnr3BaFoHi80ORCglIyRCnn9hmk4esQ46evdwdMajoJY6Uxs31nI7O0xGXhL2iTkoj8+BOMjGT0+8gHG2dT9i/xIzwgCblCSZdR79FrwifEBt/lzy8mERFQeBdT6WCC3Yj62L3bEJmRgsQ/b5Gw6ibqhOynccUSlYgqW8OVQ2Gs+/osh1f8S0LgWlTp6xGzA6lvZsM7U7+nx7LVmHvX5d7WCyT8fh1VZg67W1ygz8QRvOT9ctFBRRH2fgJx/jBwWYky+GrJuJWQkCgFgiC4Ar2B5XnfC0BnYGtekzXAa09yTbqCsOQ86/Yx7mVZ6izORZ2jo1vHwpEssXmf0Xme2/yHwZqO5uWe64XD2AoGrcRCHc8is9VM+ft6mcKTAbwsvVjXax22RraMPTyWY+HHKmetEk+EjQEbmXJyCk0dm7K823KsjazL1D8iOYvZe2+wynIZhroc/Ua+gUmJ/ST01HbS37/u5Bu3+WkXD3hvzQ3MaerYlH/C/ym3k+1+zq2+zq2Uc/ssUr8/CDLw2wKAjZENE5pM4Fz0OY6EHcG4fn2cvvmGrHPniP9lIUamSvpOaoKlgzH7frtOVGAyAHVf6sSw7+ZhYGzMlplfcfP40SJTGXlb4fChD5aveqEKTSN2/iVSD4agUz09V75ExZCZmsvZ7XdZM+U0pzafJDPqT1TpGxCzgmhgYcfIb+bSY8VarBo3Ic0/lsC5/2J4MYdjdpdJH2HB+IEfY2VUVBwKgMtr4doGePlz8O5a4lo0Op1UBkhCQqI0LAA+A/LzZWyBFFEU859SIgCXh3UWBGGsIAgXBUG4GB9fMeVddHmCUkJB7Fv5jduzUWdR6VRF823j/AFB79kAAqLTMFTI8JQ8t2XDrQVC56l00JymW86+MocnAzibObOm5xpqWtXko38/YsfdHZWwUInKRBRFfr/6O9+f/56Obh35vevvmBmULcQ/Pxz5XbbTIPcqQq8f7iv+SpQKG1MD7M0N73tu839+cf6F2nX36E5wajC3k29TLgo2HEUEKef2GcXcETxf1hu3eb+g12u/Ti3rWvxw4QeyNdlYDRyA1eDBJC5bRvqRIxibGdDvIx/MbY3Ys+g6MUGpANi5ezD0u59xrVuPA4vnc+qvtQU1+/IR5ALm7Vxw+rQ5Jo3sSf83nNifL5EdIBU2r4okRmbwz9pbrP3qDBf3nkOTtB5V+ka0mSE0tLJn5Lc/0X3ZaiwaNkKbruLeqrOkrb1DoiaJnW19eW3i6OK9tflEX4N9/4ManeHlz0q1JrVWlMSkJCQkHokgCH2AOFEULz14uJimD93eF0XxD1EUm4ui2Nze3r5C1pXvuZUXEi0pH/uC92FjZIOPo0/hE7E39GlJeV6hWzFp1HYyvz+nROlpOxFqdGG68k/8r5wtc3gy6J0KK7qvoKVTS6aensqqG6sqYaESlYFap2b62eksvraYvjX6Mr/jfAzlZVc13ugbjvreCT6UbYWGg8FneCWs9vmnjpM5t2PzSpFauIChRUFkaj7dqndDISjYF7SvfJPkhyUDD6oli2rJuH22aPQ6pIRCxAUAFDIFX7X6ipjMGJb7LQfA8euvMGrQgKgvppAbHIyJhd7ANbYwYPev14gL1f8xGZmZMWDKTBp26c757ZvZs2Au6tycIlPKzQ2weaM29uMaIRjKSVx9k6TNt9GVMaxH4skj6kRCbySy65crbJx5Hv+TZyF1Lar0v9BkhtPYxolR38+n29JVmNerjyiKJJ8LI/SH08juZLPd+Rjiu8580PcTLAwsHj5RdrI+z9bUDgYsA5m8VOvTaHVSGSAJCYmSaAf0FQQhBPgLfTjyAsBKEARFXhtXIOpJLkqbXwoo7x5W3lJAaao0joUfo4dHj8KK86BXSnbUh+yJosit6HTqOj3iXizxcGQy6L8Uuak1fxgvYsbfF8ocngxgojThty6/0dOjJz9f+pm5vnPR6qSotmeZLHUWE/+ZyLbAbYxrNI7v2n2HQqYoueN/iEjOYsneM/xutBjB1gv6zH/8ZPsXlFqO5gTGZqDVifqfoUM9/WbeA1gZWdHWpS37gvehE8shcisU/kbMG0Py3D5r1OkDCqOC0GSApo5N6ePVh1U3VhGWFobM0BDXXxYgKBRETpyILisLUytDXpvsg6GJgl2/XCUxSl9fSq5Q8MqYCbw8fDR3fM+wecaUQkJTD2LoaYnjhz6Yd3Yj62ocMfMvkX0z8YlctkTZUKu03DgRycaZ59n96xWibvsiy1xJbto2dJnRNLVzYdTchXT9fTlmtfXhIKrYTAJ/PUHmjlBuK4LZ1ekyI9+bTDv39o+eTKuGLSMgNVKfd2Jq9+j2D6DRiSgkz62EhMQjEEVxiiiKrqIoegBDgH9EURwG/Avky5O+A+x8ouvS5asl5z2ulPNWdjjkMCqdildrvFr4hCoLkoLAsQEA8em5JGWqqFNNyrctN2b2CAP+wE0XycTcP5i5x7/kPsWglCuZ02EOw+sN589bfzL52GSy1FkVvFiJiiAhO4GRB0dyNuos37T5hgk+E8pVoUEURb78+ypzhEVYClkIg9eAofReLC+1nczJ1egITdSL5OHcRB8B+J+Nol6evYjNiuVK3JUyz5G/4aivBPRgWPJzKiglCMJKQRDiBEG48cCx6YIgRAqCcDXvX68Hzk0RBOGuIAi3BUHoXplreyRGFlC7J/htBU1uweGPm32MUqZk7oW5AChdXHCe9xO5d+8RPXUaoihibmNEv498kCtl7F54jfQkvZdWEASa9+lPv0+/JjEinI1TPyUpKrLY6QWFDMtuHjh84IPczIDEdf4kbgyQvLjPCBnJuZzdcY81U05zbP1NshMvIKQvJTNxN7KMBFpV82DUz0vp9NtSTL1rAqDL0RCx4zrRCy6ijclhY43DOL3XhEndPi1dLsqBKRB0TL+D6dayTOvV6ESUUs6thIRE+fgc+FgQhLvoc3BXPMnJtXlqyffDkstn3e4J2oOHhQf1besXPhEfAIgFYiu38vLT6laTPLePhVdHhA6fMkh+HO3Vv/gnoOzhyaCvxflZi8+Y0nIKxyOOM+rgKBKyEyp2rRKPRXBqMG/te4vg1GAWdl7IoFrlL9Wz0TecJsEraCv4Iev1Azg1qMCVvnjUzhPFuxObl3fr7APqLEgILNSuk1snjORG5QtNLnRLlhV4bp9nQanVQI9ijs8XRbFJ3r99AIIg1EO/W1w/r89iQRBKF3dZGfi8BdlJELC34JC9iT3vN3mfExEnOB6ur5Vn1q4d9pMmkbZ3L8l/rgfA0t6YVz9sgjpHw+6FV8nOUBWM4d28FW9Mn4M6N5e/vvmM2OB7D12CgYsZDh80waKrO9l+CcT+coXcvHBniSdPXGgah1feZN1XZ7h0IBADnS9i6mJS4g5imJlGh5oNGfXHOtovWISxR3VAH7KcdjGKoDkn0Z1L5l+rC1wZEMdHo6fi49i0dBP7LoMLy6Dth9C07Hkn+rBkyXMrISFROkRRPCaKYp+8r4NEUWwpiqK3KIqDRVHMLal/ha6lIOc273GlHPeyqIwoLsZepI9Xn6LepJi8+o55Ssm3ovWfsXWcJG/RY/PyF+jc2jDbYCWLtx4sV3hyPkPrDmVhp4UEpQYxdO9QApMDS+4kUemcjTrLsH3DyNZks7L7Sjq4dij3WBHJWRzZu5mPlH8jNnwdmr5dgSt9ManlaI4gPFAOqFoT/WtUYQ+tidKETm6dOBR6CLWujO/T/JzbPDWGZyHntuzB8GVAFMUTgiB4lLJ5P+CvvA/O4Lxd4pbA2Upa3qPx6gSWbnB5DTQYUHB4aN2hbAvcxhzfObR2bo2h3BDbsWPIvn6d2LlzMapfD5OmTbFzNaP3B43Y9cs19i2+Tr/JPiiUelvd0cubITN+YOusr9k8YwoDvpiOS516xS5DUMiw6Fodozo2JG4IIH7pNSy7e2D2kmu5c48kSo9OJxJ8LZ5rR8OJvpuKXJmDueElkqJ8iU8Wsc3V0LT1S9R7/0MUFoV3+lUR6UT8fQ2DaJEQo3Autg5hxCtjy1bnLWAv7P8MavWArjPKdQ1qrSipJUtISDx11Go1ERER5OQU1Z14GBZ1atG++v8wREmywphUWRyyW2VL1UlXpbOg3gIcFA7cunXrP2drQo+tEKeCuFs0NFWx6jVnokPvEV2mWfQYGRnh6uqKUqksufHzjlyBbNAKlIvbMiP7J37YU5dZr7co93Avu73M6h6rmXB0Am/vf5t5L8+jrUvbClywRFnYGLCRub5z8bT0ZFGXRbiYPVRIvUREUWTOluP8ICxEa10DpZRnWyEYG8ipbmPC7Xzj1q4mKE31xm2TNwu17eXVi/0h+zkVcYpO7p2KGe0h/MdziyiCXF6wMfk0qFTj9hFMEAThbeAi8Ikoisnoywuce6DNI0sOVDoyuV6d7dj3+gLv1h4AKGVKvmj5BWMPj2WF3wreb/I+gkyG85zZBA8aTOTHn+C1YztyKyuca1rTdWQ9Di67wdE1t+g2qn6BQWrj7MKbM39ky7df8ff30xgwZTqudR8efmHgao7jRB+S/w4kdX8IuUGpWL9eG7mp9AFaGeRkqPE/HcWNE5GkJ+ZgbJ6OheIkCbEBZArgpNLR/JVe1Bw9BplhYSVAbaaamD3+6K6kkilPZ73HcV7u3Ycv3Mq4Cxl2HraO0oeRDFpZagGp/6LR6SS1ZAkJiadOREQE5ubmeHh4lDofLy0hgazUZMwwxsDQErmNEXKT0n/uiaLI3ZS72Mvs8bT0LNogLgDkjmDrDejD9wzkMjzKUQZIFEUSExOJiIjA07OYuV5ELF1QDFhC/Y1DqHN9DqebLqWdd+k1I/5LPdt6bOi9gQ+OfsD4o+OZ3HQy79R/p1z5nRLlQ61TM9d3Lptub6Kja0fmdJiDqfLxymZtvRjKm+HfYqXMRTFkHRiWrXSQxMOp5WjO7fywZJkcqjWC6KtF2rVzaYeDsQOb7mwqk3ErCILewBVFBEFA1OkQFIrnN+f2IfwO1ACaANHAvLzjpS45UBm19IrFZ5i+5u3ldYUOt3FuQ0/PnizzW8a9FH1YsdzCApeff0aTmEjUl18VuOW9mznQpn8N7l6M4/zuoELjmNva8fq07zGztWPb7OlE+BdWMPsvMiMFNkPrYNWvBjl3U4j75bIUplzBxIWmcXSNP6u/OM2ZbXeRE4apZgPJYctIiPWnuk7G4NeGMnTLLmq/P6GQYSuqdSQdCyZ0zmk0V5LZbXOcU6+G8Om7M+jgVsZQnbgA2PiGXrp96GYwKP8Hh0YrSiUtJCQknjo5OTnY2tqWzRDJewoor/GSqc5EpVVhZVhM3XCdFjTZoNSXANKJIrlqHUbK8j0aCYKAra1tmTzTLwS1e6JpPYHhiiMc3vwbWarHC1d0MnViXc91dHHvwrxL85hyago5Guln/iRIzU1l/OHxbLq9iVENRrGg04LHNmzj0nJI2Pst7eQ3kfX+sUC5XKJiqONkTkhCJjnqPE+qsw9EXwdt4fehUqZkUK1BnI48TVhaWNkmEQQQ9cJ/oqg3bp/nnNsiiKIYK4qiVtRnHC9DH3oMek+t2wNNH1pyoDJq6RWLpSt4d4Wr64v8EXze4nNMlaZ8c+abAuls4wb1cfz0EzL++acg/xbAp5s79do7c2l/KLfPxxQax8zGltenfY+5rR3b5s4g5t6j80gEQcCsjTMO7zcBpYz4P66TeSWugi74xUSj1hJwNpotcy6yZfZF7l6KwdYuEMOsP4i5+yfpSRHUNzTnrbGT6b9lJ+5vDtW/cfMQdSIZl2IInnuSrAMRXDcIYH374/R7fxTjW3+AscK4bAtKvAdr+4LcAIZvK5MycnGotTqUUikgCQmJZ4CyGqnif/a4y2rjJuUkIZfJsTS0LHpSna1/zTNuc9VaRESMlOWX+5A8iMWjeGU66fbN+F/ub6zaeeixxzNRmjDv5Xl86PMh+4L28fb+t4nOKE8guURpuZV4iyF7hnA57jLft/+eyc0mIy9nRNmDrN+4jnHi36TXHoSsHLoiEo+mTjULdCL3Q5OrNdFv6iXcKdJ2YK2BKAQFm25vKtskAqAT4QHj9oWqcysIQrUHvu0P5LsrdwFDBEEwFATBE6gJ+D7p9RWh6TuQHg2BBwsdtjW25bMWn3Et/lqhPwLrt9/GrGNH4n74gRx/vfy9IAh0eLMWzjWtOPZnAPFh6YXGMrO2YdDU7zA2N2fb7G9IjAwvcVkGLmY4vN8Ew+oWJG+6TerBkAJvsUTpSEvI5uz2u6z54gxH19wiJzMdJ9sLaOIWEHZrJ7r0FFo5ujNq1nx6rN2I/SuvFHpwEUWRnNtJhPx8mpQtgYRqIljSYAfuY1vyZZ9vypd/khwKa/qCTgNv7yoIh38cpFJAEhISVZb8j7VyGI0qrYp0VTrWRtbIhGIed/LLyhjojdsctX6j+nGMW4mHIFdi/tY6UBjTxe8zrgQ9frlkQRAY22gsv3b+lbD0MIbsHcKFmAsVsFiJ/7I9cDtv7XsLtU7Nqh6ripbUKif/+F7jraiZpJh6YD5woZRnWwk0dNFv7PlFpuoPOPvoX6OKlv1xMHGgs3tntt/dTrYmu9RzCDIBUQRBJkPUiaBUPr91bgVB2IheEKq2IAgRgiCMBn4QBMFPEITrQCdgMoAoijeBzYA/cAD4QBTFp1+xu1Z3sHCFs4uLnHrV61XaOrdlwaUFxGTqPbKCIFBt9vfIbWyInPwx2gx9bSm5XEb3MQ0wMlOyf4lfIQVlAHMbOwZ99S0IAn/PmkZ6YslS93JTJXajGmDawon0f8NJ/jsQUSsZuI9C1ImE3Uxk7+LrrJt6liuHw7F2zMTeeC+Jt+cRcvckZtm5dG3UklErN9J+4WJM69YtMo4qIp2wJedJWHWThNR4fvf8m9Rhpswc9iNNS6uC/F+SQ2BNH1Clw/Ad4FDn8S42D41WJwlKSUhIVFFEQHggb6n0D79JOUkICNgY2hQcO3DgALVr18bb25s5P84DmVIfJQNkq7VoVCreeWso3t7etGrVipCQkIq6EAlLF4RBy6gliyB24wRyNRXziPey28ts6L0BCwML3j30Ln9c/6Mgok7i8cjR5DDt9DSmnZlGU8embH51M43tG1fI2CkZ2VjsH4+5kIvF8PWPlX4l8XBcrY2xMlFyI9+4tfUGA7NijVuAIXWGkK5KZ3/w/tJPkue5FQThvuf2eTVuRVF8UxTFaqIoKvOKw68QRXG4KIoNRVFsJIpiX1EUox9oP0sUxRqiKNYWRbEMP9VKRK6E1uMh9BREXip0ShAEpraeiojIt+e+LfCcKqytcf7xB1Th4cR+O7OgvYmFAT3GNSQrTcXhlf763Y0HsK7mwsAvZ5KTmcHOn75DnVtyDomgkGE1wBvzLu5kXYwlccMtRLV0U/8v2RkqrhwOY/0359j96zVigpJw94rCNHclwZcWERlxC1edjP49+jN8y24afzUNpY1NkXHUsZlErL1M3KKrZEQks9p5N/6DUpk6eg6v1XyteO9AaUgIhJU9IScNhm/XJ/xXEGqtiFLKuZWQkKiCFAQklfEWptVpSc5JxsLQAqVcL0Cl1Wr54IMP2L9/P/7+/mzcugP/oPv15nPUWnZt/hNra2vu3r3L5MmT+fzzzyvoSiQATOp2I6z++/RQH+XYX/MrbFwvSy/+6vMX3T268+uVX3nv8HtSPdzHJDw9nOH7h7P97nbGNhrLkq5LsDEq+lxUXi6s+Zzm4k0SOn6Polr9kjtIlAtBEGjoYsn1iDzjViaDao2LFZUCaO7YHG8rb9bfWl/6iFBBIM91qzdu5fKnKij1tNSSqxZN34bjc+HMIhi8qtApV3NXJjSZwI8Xf+RAyAF6evYEwLRlS+zef5+ERYswadMGq9deA8DRw4L2r9fk+IbbXD0Sjk8390LjOXrWoPfET9nx43ccXLKQ3hP/V2IOjyAIWL5SHZmxgtQ9QSSs88fu7XoIihfbWyfqRCLvJON/Kop7V+PRaUTs3ARc7H2JDDzLnXAtxio1ja0c8HnnXWxe7vDQn7U6JpPYg7cRb2WQLctlr/1JFO3s+NDnq+JzucpCzA1Y95r+xjBib4UXLddKYckSEhLPGDN238Q/qmRBRI1ahU6rRYEcQZAjKGUPrXVbz9mCb17VPySn5KagE3WFHsZ9fX3x9vbGy8sLdBqG9O3GzkPHqde2O6Iokq3W8u+hfcyZ9S0AgwYNYsKECYh5KqASFYPHwG8JDD7Dy4FzCLrxEl4NWlXIuKZKU+a+NJeWTi2Z4zuHwbsH67+v1rLkzhIFiKLInqA9fH/+e2SCjN+6/PZY9WuL4/rx7XSJW4ufQ28adny3QseWKEpDF0v+OBFEjlqrT7uo1gQurtDrCckLm4KCIPBO/XeYenoq/4b/S2f3ziVP8ICgFC+ioFSVxMgCmo0A/536nMj/MKzuMBrYNmCO7xxSclIKjtuNfw+T5s2J/fY7VBH3d4frv+SMl48953bcI64YteMazVrR/o3h3D5zAt8dW0q9TPP2LlgPqEnunWQSNwQgal9MD25WmorLB0NZ/805di64SujNRKrXysRO8TeR137i3p1TmGfl0Kl2E0YvXE7XVeuw7fhysQ8v6phMwtdcInbBZbJuJ7LF7jC7elzmzffe58PWEx/fsA06Dqt66kPjRu6vcMMWQK2TwpIlJCSqKOXw3OpEHQnZCZgoTTDJE4sCiIyMxM0tT7dSlYVrNQciY/TePZVGh1YnEhcTXdBGoVBgaWlJYmLZ6upKlIBMjt0768gQTDHYPhJNVmqFDS0IAoNqDWJ9r/WYKc0Yc3gMi64sQq17el6kqkRqbiqfnfiML099SS3rWmx+dXOFG7ZZCeG4/TuRULkbNUcurdCxJYqnoYslGp14X1TK2Qc0ORD/37rfevp49cHN3I3fr/1eKu+tICNvE1Cmb69UIFZQ2kF5kDy3paXVe3BuMZxfAj1mFzoll8mZ3nY6Q/YMYe6Fucx+SX9ekMupNmcOwf36ET1lCu5rViPIZAiCQKe36rApxJdDy2/y+lctMDAq/I2e/xIAACAASURBVKto+dpg4sNCOL3pT1zq1se1TulCNkxbOqFTa0ndHUTSljvYvF67oLbu84yoE4kISObmqUiCryag04k4eRlja36HaL+j3IrKRqHVUkNhgk/fAbgOGozMwOCh46miM4k9EIBwO4tsWTZ77E4itrTgrWYTcDR1rJhFX98CO8br8x/e2qpX564ENFJYsoSExDNGvoe1JJJjYsjNzMRSYYpcborCzhiZ0aMfXZJyktDoNLiaF76nFnpIyxOTEhT6kOXsvDIZxd0pJa9txWPt6MbZl36h5YkRBK8eg/f4TRUqJlTbpjab+mxi1vlZLL2+lBMRJ/iu/XfUsq5VYXM8b/hG+/LlqS9JzE5kos9ERjUYVSFqyIXQaohbPRwHMZfMvssxMjGv2PEliqWhq94Rcz0ylcZuVuDaXH8i/Dw4NSzSXiFTMK7ROL4+/TX/hP9DF/cuj55AEPQ5t7L8nNvnWFDqucLSBRoMgkurIaNo6Z3aNrV5t9G77Anaw9GwowXHDVxdcPxyClkXLpC0dm3BcSNTJa+MqkdqQjbndgYVGU8QBLqNnYCFgwP7F80jNyuz1Es1b+eCRXcPsq/Gk3a4qKf5eSI9KYeL+4L5c9pZdi28SkRAMp4Ncqlmtpfwi7Pwv7QHTXoaLRzdGTl1Dv3++hv3ocOKNWxFUSQ3KJWw5ReI++UyWYGJbLY/xN5efrz1/od80uF/FWPY6nRw9FvY9i64t4ZRByrNsAW9oJRcKgUkISFRFSmj51ar05KQlYCZgVmR+puurq6Eh+dVI1BnERGbhLOL/t6bpdIiEwTc3O630Wg0pKamYlOM/oLE49O6cz922ozCO+4gicd+r/DxTZQmzGo/iwWdFhCbFcsbe95gud9yNLqn99D9LJKtyeanCz/x7qF3MVYYs67XOsY0GlPxhi0QtXMaHhlX2O/xGQ2aVEw4ukTJuFgZY22i5EZ+3q21B5g5Qtj5h/bp7dUbd3N3llxbUrL3VkZeWLK8ICz5aebcSk+8ZaHD/0CTCyd+Kvb02IZjqWNTh5lnZ5Kck1xw3HLAAMw6dSL+5/nkBt03ZJ1rWtPwZVf8jkUQE1Q0LMfA2IReEz4hPTGBoyuXlGmp5h1dMW2pV1HOuvp81cHVqLTc8Y1h1y9XWPvVGc7vCsbEQsTTwx/if+Xm8UWEhdzCVQN92r/CqLVb6LBwMRaNi1f4E7UimdfiCF5wmvg/rpMeHM9f9gfZ19uP4eMnMrn9JziYOFTM4nPS4K+hcPInfS73W3+DsVXFjP0Q1DoRpZRzKyEhUQUR/2vdlnArS8xJRCtqi71nt2jRgsDAQIKDglBlpPLXzgP07dsXgGyVPhetb9++rFmzBoCtW7fSuXNnyXNbSQiCQLsR33ESHyyOT0OMLF699XHp4t6F7f2209mtM79c/oW3979NUEpRp8KLyJnIM/Tf2Z81/msYVGsQm/psooFdxadHAagCDuF0fTG75V3pMfSjSplDongEQaChqxXX8xWTBQHcWkHYuYf2UcgUjGs8joCkAA6FllCbOj/nVqYPS5ZybqsSdt7g8xZcXFls7q1SruS7dt+Rpkrj+/PfFxwXBIFqM2cgGBsTPW0aou5+Lmzrfl6YWhry758BaIvJkXWuVZfWA4Zw6+S/3Dl3qtRLFQQBq741MPCwIGlrIKqI9JI7PcOIokhMUCr/rg9g1WenOLzSn+TYLGo2ysHRcBvhF2dz68oBxLRUWti5MuKTrxn4925qfzgJhYVFsWPqcrWkngojeM4JkjfeJj4plpVuOzndP4xRH3zM5HafYG9iX3EXEeMHf3SEwEPQ6yd4dSEoDCtu/IegLwUkPZxJSEhUQUQAoVQRq2qtmsTsRCwMLTBWGBc5r1AoWLRoEd17dKduh768PrA/9evXZ+rUqezbuxsTAzmjR48mMTERb29vfv75Z+bMmVPhlyRxH0dLE+K7LiROtCDzz2GQnVxyp3JgY2TDvI7z+LHDj4SlhzFo9yAWXl5IVn6t4xeMpJwkppycwrgj41DKlKzsvpJpbaYVylGvUFLC0G4dzW2dK1YD52NqKGVFPmkaulgQGJtOTl4KBu5tIDUM0h5ec7qXZy9qW9fmhws/kKl+eASpIOjTAwWB+55btWTcVh1e/lyfOX2s+A+82ja1Gd94PAdCDnAw5GDBcYW9PY6f/Y/si5dI2XxfJMrAWMHLb9YiKSqTK4fCih2z9YA3sPfw4tjaFaUqD5SPoJBh+1Zd5GZKEjcEoFM9/bLBZSUjOZdLB0LYMP08f/9wiTvnY3CtbUANt8uoQubhd2wxkZFBuAsK+nbuzaj12+jw2xKs2rR96G67JiWH+L13CJ11kvQ9oQRqgllScxthw3R8Nu47xjZ/r0Ll7hFFuLgKlnXR53m9sxtajnlixco1WhGFFJYsISFRVREK/uNhrltRFInOjEZExNHk4ekjvXr14s7Vc9w7s4uvvp4KwJdTp/PyKz0xNpBjZGTEli1buHv3Lr6+vnplZYlKpX+7hiy1/xrDrBhytr73QP2niqeHZw929NtBT8+eLPNbRr+d/TgSeqT0JU+qODpRx/bA7fTd0ZcDIQcY12gcW/tupYVTi8qbVJNL1vq30KjV7Kg5h5fquZfcR6LCaehihUYncis6T8jWPS8svATv7dQ2U4nPiue3q789fPC8UkCFBaUk47bqYOkCrcbC9b8grniVsVENRlHftj6zzs0iMfu+yqLlgAGYtGpF3E8/oY69Hyrs2dgeLx97Lu0PIStNVWQ8mVxOp3fGkJ4Yz8U928u0XLmZATav10ablEPagZAy9X1aaNRaAi/GsvvXq6z98jTndgRhaAq16kdjnrsa/3+/4+b1Y8izMmnt5s3Ib+YyYNMOao4bj9zMrNgxRZ1ITmAyISt8iZrjS/bJaM4bXucPnz0YjvJg5qh5DK4zGCOFUcVeTEa8Pgx5z0fg0Q7GndS/PkHUOp0UliwhIVElKTA6SriFpanSSFel42DigIH84WKBAORmgCCHvPt9dp6HwURZ8TmGEiUjCAKj33yDn8ShGN07gHh2UaXOZ2dsx6z2s1jdYzXmBuZMPjaZ9468R0hqSKXO+7Q5H32eIXuGMO3MNLwsvdj66lYm+EzAUF65EWS6/V9gEn+NGfIJjB/YrVLnkng4+aJSN/JDk50agdLkkcYtQGP7xnoF8lvruZVYvN2D7H5YMogIcsm4rXq0/xgMzGH/58XuMCpkCma1n0WGOoNvz31b8OEsCALVZkxHVKuJnV1YcbnNazXQakQuPcQAdavXkJqt2uK7cyvpSWUrTG7oZYlZW2cyzkSRG5RScoengKgTiQpM5t/1Aaz+/DSHlt8kMSoD70a5OJvsJurSd1w/tZHkuBjqGJgxuP9QRmzeTbufFmDRsKjSWz66LDXJJ0K5N/c4CStukBmUwDa7o/zZ6TgNx3Vh5htz6ejWEZlQwW8FUdSXjlrcGu4ehe7fw7C/wawCw5xLib7OrfRWl5CQqLoIRb64j0anITozGmOFMbZGtiUPpsoEA7OC6JkslRa5TMDgBa8N/zSpbmuKfdfJHNC2QDw8/ZFCNxVFM8dmbO6zmS9afsH1+Ov039mf6WemE50RXelzP0kCkwMZf2Q87x56l5TcFGa/NJvVPVZTw6pG5U9+7S9kl1ayRNOHzv1HY2VSwsaTRKXhbGmErakB1/NFpeRKcGkG4Y82bgEmNZ2ElaEVM8/ORK0tKhSld9zqPbcgglz+VI1bKei9PJjYQNdpsPcT8NsKjQYXaVLDqgYTfCYw/9J89gXvo7dXbwAMPDywHTuGhF8XkXVxGCbN9XLcVo4m1GnjxI0TkTTp6o65TVEP4stvjSLoki8nN6yh14RPyrRkix4eZAckkbQ1EMePmiIzeDZ2qBMiMgi8EMOdC7FkJOWiMJTjWlOGGHeWyMAL+AVpkOl0uOjk1G3VllrDR2BYrdojxxRFEXVEBrGn7qK9kYpCK+eecQjnvG7i2boB79T6CGsj68q7qKRg2P+ZPrfWqREM+AMc6lbefI9AFEXUUikgCQmJKosICAWCJUXOiiJRGVHodDqcLZxLFn/SqkGbC6b3jeBslRZjpVwSjnrKjGzvxfCrn9IgaSLOW0Yge+9Uod9TZaCQKRhWdxjdPbqz7PoyttzZwq57uxhcazDvNny3YnU3njBhaWEs91vOzns7MVWY8nGzjxlad2ile2oLiL2JbvckLop1uVZrIuMaOD2ZeSWKRRAEGrtZcSX8ASeXe2s4+bM+msWw+MhHAEtDS75u/TUfH/uYHy/+yJetvvzv4PpSQPmOFOXTFZSSjNvy0mwkXN0AB6dAza5gXNRYeqfeOxwNO8r357+npVPLgpuk7ahRpGzZSuzsOXhs2ZznxocWvT25fT6Gi3uD6TS8qDFk6eBE0179uLDrb9oOHoaVY+lvFDIDOdYDa5KwzI/Mc9GYd6i80jMlkZaYTeCFWO74xpIUlYlMJuBc0xAHiwASAk4ScCINBAHbXA0Nataj4bC3sWjSpMRxtekqUi5FknQ+FONkOblCLv9aXiC+bi4dW3RjarW3K95D+yCaXDizUK+mLVPovbUtx4H86b3NtDr906DkuZWQkKiSFIglF2/cxmXFka5Kx8nUqXRpJaoM/auB/kFOpxPJUeuwN5c8Sk8buUzgq0FteP+3SWzL+AbZtjEwbAtUQkma/2JnbMeUVlMYUX8ES68vZdPtTWwL3MYbtd9gaN2hOJs5V/oaKoobCTdYdWMVR8KOIBfkDKs7jLENx2JlVLmVGQqRk4q4aTipOhM+YzKbXmssbR49AzR1t+KfgDhSs9RYmijBrTWIWoi8CF4dH9n3leqv8E69d1jjv4YGdg3oW6Pv/ZN5Dtv8Z2xRIXluqyYyOfSZr1e/PTIDXl1QpIlcJue7dt8xePdgZpydwa+df0UQBGTGxjh8PJmozz4nddcurF57DQBzGyPqv+TCjeOR+HSrjpVjUdW6Jt37cHH3dm78e5j2Q4aXaclGNaww9LYi/WQkZm2cEZRPzuDJyVBz93Icd3xjiL6rD4lwqG6EV41QUgKPc+9sPKIgYKrS0MC+Gg37DaRaj54I8kd/qIkaHVkBiUSfuYNBsAaZKCPEOJQL1QOwb+ZB3/qjKqY27SMXIcK9f/Rh6omBUK8fdJ+tz89+ymjyjFu55LmVkJCogjyqzG1KTgoJ2QlYG1mXXgRQlakXhVTq1ZSz1VpERIwNpMehZ4H6zpa0ad+Zaafu8f29FXD8B+g05YnNX82sGtPbTmdUg1H8fu131t1ax7pb6+jo2pGhdYfS0qnlM2mk6UQdZ6LOsOrGKnxjfDFXmjOy/kiG1R325L3Pogg73kdMDmFszle82681jhYVrGciUS6aVtc74q6EJ9OxtgO4tQAEfd6tV8cS+3/U7CP8k/yZeXYmXpZe98tG5QtK5YuXypWScVtlqdYYWr0H5xZDvb5Qo3ORJp6WnkxqOokfLvzArnu76OfdDwCLPn1IWvcn8T/Px6JbN2QmekO2WY/q3Dweyc1TUbQb6F1kPAs7ezyaNOXmscO0HTwUWQnG338x7+hGwnI/Mi/HYtbq0eG9j4s6V0uIXwJ3fGMJu5mITiti5WSEp3c0GfeOE3klEq0gYKTWUNPUknqdX8Fj8JCHikLlI4oi6sgMYn2DUF1LwjBXQZY8lf22l1E3MKRDky584Ti8cr20+YRfgKMzIOSkvij2sK1Q85XKn7eUqPPKS0mCUhISElUSMT8sOe/7vNfU3FSiMqMwUZrgZOpUeoMjN0MvopL3+ZCVV0VAEpN6dvioSy26Xe/NAXUwPY7PAZemUKv7E12Du4U7s1+azUSfiWy+s5m/7/zNP+H/4GXpxZA6Q+jp0fPJekIfQmxmLLvu7WJb4DYiMiJwMHHg0+afMrDmQMwMHv0sVWmc+RUC9jBfeBudexuGtpTUkZ8VGrtaIRPgcmiecWtkCY71IexsqforZAp+7PAjw/YNY8yhMfza+VeaOzXPKwUEQn6UheS5reJ0nqoXDNo+HsafBlO7Ik2G1R3GkdAjzPWdS6tqrfQfxDIZjlO+IHToMJI3b8Z2xAgATC0Nca9vQ+CFWNr2r4FQjMetYZfu7PppFkFXLuLdvFWZlmtYwxKlmznpxyMwbe6EUMFGj1qlJdQvkbuX4gj1S0Cj1mFiqcTNI5Gc0GNE+YcQI4BSo8XdyJQ6bTtQc8gwlLYl59Wo47KIuxBM5tVYTNKVaNBwwdzv/+zdd3xUVfr48c+Zkt5JL5BAQkISQgsgiAhIF0EQEeyisiq7Kup35aeC4tpdO+7aV2xgF1SqCCqiRHoLTRJIQgjpvUw5vz/upJGEJEgyhJz365WdzJ17b86sZHKfe57zPByPzqPXwAHcGv5A2/VoO13WPvjxCTi4Elz9YPyzkHhLu/StbQ2zxZaWrFoBKYrSodX+rcouy+ZU2Smcjc6EuYe1/Eam1czsux/ku/W/4h8QyN69eymrMvPWS8/y9bIP8PPTZrieeuopJk6c2ODw1atXc88992CxWLjtttuYP3/+OXlnSn3ODnqenJrA7e/dyC9d0vH/6naYsxF82r8tU5BbEPf0v4c7+tzB6pTVfHLgE57a8hTP/fEcFwdfzNjwsVwScknb1vE4zcnSk2xI28DqlNXsOLUDiWRQ4CD+3u/vjO02FqPe2G5jaSB1E/zwGLvcL+WNvPF8P603OpU5dt5wdTQQE+jB9uN11t2GD4NtS7SldS24hu3i3IX3x7/P39b9jTt+uIPnhz9PrPA8beZWjzQ3LDzVXlRw+1c5uMD0d+HtUbD87zBraYP+pTqh44mLn+Cqb6/isc2P8d/R/0UIgUv//rgkJpL3wQf4XH89wqD95+g5KJDUPfs4cbiAkOiGH5jd+w3E1cubPetXtzq4FULgMSKM3A/3U74nG5e+/mf/3m1MVRaO79UC2tQ9OZirrDi56QgMyaIyfTNZKX+Slwp6q5VgvSPRg4YSc+0NOAY2v2bYXFBB9h+pFOzIwD3PAStWDrkc5VCPDLr0C2NcrxkEurZjkYITO+DXV2Hf1+DoAaMegcF3nnEhvj2ZrGrmVlGUlhFCOAE/A45o1wdfSCkfFUJEAMsAH2A7cIOUsmHfujZR3QpI+ww7WXqSfHMBno6eBLsFty5Dp6qMm2dcwd/vfYAbb7sTKSVlVRaMBh3z5s3jgQceaPJQi8XC3LlzWbduHaGhoQwcOJDJkycTGxv7V96c0oThPf2Y0DecmXvuYp3bo+g/vRFuXatdc9mBo96RKZFTmNxjMgfyDrAqZRUrU1byU/pP6ISOPn59GBQ4iIGBA0nwS8DZ4HzOfnZhZSE7Tu1gW9Y2fj3xK4fzDwPQw7MHd/W9i4kRE+nqcR7MjhafhM9vocytK9dl38AdoyLpGeBu71EppxnQzZuvtqdjsUptyVrEpbDlDUhLgohLWnSOQNdA3h//Pnf9cBd3b7ibD8qeIcAt2FYtGTDowaRmbju2wN4w5nFYPR+2vAkX3dFglzCPMOYNmMdTW57iq8NfcVXPqwDwmT2b9LvuomjNGjwv1yoqh/fxxeio51DSyUaDW73BQNyI0fyx/EuKc3Nw79JwtvhMnHr5YAhwofjXE2cd3JqrLBzfl8eRbVmk7MnFXGnByVWHv186lSd+I/v4MY6kgd5iJUjvQFS/gcRcewMuXZv/ADbnVZC9I5X8XRl4nNKKfGQ4ZbAvPBXPPiGMiB3NJM/wsxr3WbFa4cg6LdUm9RetDdTF92hfLi1c52UnNTO3qqCUoijNqwRGSSlLhBBGYJMQYhVwH/CSlHKZEOIN4Fbgv3/pJ62aDyf3NLubR2WFrVCJQIceL10VvnoDRp0RcfpK3MDeMOGZpk9WWczwixJJrdAuuE0WKyZLy/qAJyUlERkZSffu2uzhzJkzWb58uQpu29Ajk2IZfSibZ1zu56GsRxHfzYOpbzSYQGhPQgh6delFry69uHfAvSTnJrMxfSOb0jfx9p63eXP3m+iEjgiPCGK6xBDhEUFXj64EuwXTxakLPk4+OBuc66XRSykpNhVTUFFAdnk2GSUZpBenc6TgCAfyDpBWnAZoKaF9/fpy34D7GB46vH1a+bSUxQSf34ysKuFO/cP4+foxd2TDpXWK/fXv5sWHvx/jUFYxvYI8IPxibZlGyk8tDm4BvJ28eXfcu7yx6w3yU/JJO3mCnEqtValZJ1Ra8gVh8B1w9CdY85DW9qX7pQ12uSb6GtYfW8/zW59nSPAQgt2CcRtxKQ4REeS9+x4eEycihMDooKd7Xz/+3JHN8JnR6Bsp/NR75FiSvvmc/T//yOCpM1o1VKETOMd1oXhDGtZKMzrHlv0zMJuqA9pTpO7OwVRpwdFV4Ot9jMoTv5N9PI2CdIHBYiXY4ERk/4HEzJiFc3j4Gc8rpcSUVcaJbYcp3ZuNZ75WeCDbMYuNYam4JPhzSe+RjPa6sVXv8y+rLNZaPf3+X8g5CB4hMPYJ6H+jtk6hA6iplqzSghRFaYbUmrLbygljtH1JYBRwrW37EuAx/mpw2wIVlgqElAgE0jaD62RwOvt6CpXF4OAKVdq6sFLbelujXsfixYv54IMPSExM5IUXXsDbu/6N5YyMDMLCwmqeh4aGsmVL2/di7cx83Rx5eGIv/u8LE1fE30nC7v9oBXAG3mbvoQFaVl6cbxxxvnHM7TuXkqoStp/azp6cPSTnJrP15Fa+P/p9o8c66h3RCR1mqxmTtZG+oQi6enQlxieGqZFT6evfl96+vVtWEdwefngMjv/Gd5GL+GmvH0tv742TWsd+XurfVfts23YsXwtunTwhuL8Ww4x6pFXncjG6cF/ifRzf/DvHKtPIqzyAF7Ai9XsmmC1tMPqWUcHtuSKE1s/0ndHw+U1w+wbwiai3i07oWHTxIqYtn8Zjmx/jzTFvInQ6fG65mZMLH6Us6Q9cBw8CoOegAA5uOcmxvbl079ew0p1XYBD+ET1I3b291cEtgGO4J8UyjarjxThFNb1WpKrczLG9uRzdmc2xvblaQOss8XE/SmXJFnKOZ1Ko0wLaECdXogYOIXrGLJya60VrlVSkFZK27QDm5CI8ip0xAOnOGfwSkYVb7wCGxF7CcM9Z7VuZUErI2Abb3oe9X4GpVJsNmPY2xE3Vml53ILUFpdTMraIozRNC6IFtQCTwOvAnUCClrL4Nnw40WgpeCDEHmAPQtbksnTPNsNqUledhyioCq8Db1QOzyYAx0BUMZ/F5ZjGBuRzcg6CkQjt/pQW9EPxj7l08/tijCCFYsGAB999/P++99169w7W4v77zsWruhWb6gFC+2p7B9UeG80fEIRxXzYfAPrYqr+cXNwc3hocOZ3jo8Jpt5eZy0ovTySzNJK8ij7yKPMrN5VRaKrFYLRh1Rox6I+5G95qq3yFuIQS7BeOg7yDtqfYvh98Wkxd3E/fu6MnVA0IY0qNt+xMrZ6+rjwu+bg5sP57P9Rd10zZ2vxQ2vQwVReDk0epzOhmdiXGJIa20kMzsg5TLKqT9Jm5VcHtOOXloa27fHgVLZ8Hs1eBcv5peiFsId/e/m2eSnmHdsXWMDR+L55QpZL/yKnnvv18T3IbGeOPsbuRQ0slGg1uAsLgEdq7+FlNVJUaH1hUycujqDgIqU4saBLdlRVWk7Mrm6M4c0g/mYTVLHJ0rcTccoCp/B3m5uRTqBEazhTA3L3oOHUbPq2fh4HPmFF1ruZnsfcc5uSsF52MSlypHHLFw0PUYmdFF+PXtxsXRExnn8tfXAbda8UktmN3xIZzar1XTjJ8G/W+G0ES7pkH9FeaaPrcdc/yKorQvKaUF6CuE8AK+Bho2XW+04yxIKd8C3gJITExsdJ/W8HH2IVsUY0ULJP/SCSuLtUdHd0ALbkurzDg76An0q63bcPvttzNp0qQGh4eGhpKWllbzPD09neDgjtP7tKMSQvDUtN6Me/lnHhZ382/PI/DZjfC3n8DNDtcKreRscCbKO4oo7yh7D6VtZO2Hr+9EhiRye9Y0vJxNPDSxsY8M5XwhhKBfV2921C0qFXEp/PICHNsM0ePP4qSAVaK3TQBZdQLMJqSUdrkJqILbc61LD5jxAXx0lRbg3vBVTT+9atdEX8PXh7/muT+eY1jIMFwcXfC4fCIFn32ONJkQRiM6vY7IxAD2bzqBqcqC0aFhekfXuAS2ffc1mYcO0DW+T6uGqXPS7oBXHSsCoCinnKM7szm6M5uTfxZitUpcXIrwZDelhXspzCujUAiczRYiuwQQOfQSoqZfg+EMbXuklFRmFZO6LZnyA7n4ZLuiR4dRX8UOjz8pj4OQhEhG9JiJu4Mdig6U5Wl3HPd+qVX4Q0JwP5j0MsRfdVZ3r8431TO3qlqyoiitIaUsEEJsBC4CvIQQBtvsbShwot3GUfOdqPfQapXFIPTajcvqTSYLnh5OZGZmEmTLNvr666+Jj49vcPjAgQM5fPgwKSkphISEsGzZMj755JOzHIzSGhG+rtw9KpJ/rz3E1ZNfYfCP18AXs+GGb0CvLmPtpjwfll0LDq583v1Jtq3L5ZWZffF27SAzzp3YgG7erNufRW5JJV3cHCFsMBictHW3ZxXcCqSkpsOLpXopnMUChvb/HVWfCm2h+6Uw7U344lb4/Ba45sN66awGnYGHL3qYG1fdyFu73+LeAffi0r8/+R98SMWBgzj31v6wRiT4smdDOhkH8glPaFg0KiQmDiF0pO3b3ergVkqJ1deZyv25fPrEFnLSS5HSipvzSdwtOynOP0R+gRYYeVmgT9fu9Bw7gdDRY9Gd4R+qtcrCqeRjZOw6glOKFc9yV9yAbMci9oX9iWOMF3EJ/bnad1z79KE9XVEmHFoFB76HoxvBaoYukXDpP7WA1i+6/cfUhmpbAamZW0VRzkwI4QeYbIGtMzAaeBbYAExHq5h8E7C83QZ1ep/bsz1HZTE4ZQ9e1QAAIABJREFUujHr2mvZuHEjOTk5jB4Yx8JHH+X3X39h586dCCEIDw/nzTffBODEiRPcdtttrFy5EoPBwOLFixk3bhwWi4XZs2cTFxd3Tt6i0rw5w3uwYtcJ5v1kZsP4F3D8bi788CiMe9LeQ+ucrBb48jYoTCdn+pcsWlbA8J5+TO6jshk6ggHdtIzNrcfyGRcXCEYnLcA9+tNZnU/rcyvR2SZSLLbLe2k213SCaU8quG0r8Vdpd7W+vx++/htMfaveHcZ+/v2Y3GMyS/YvYVrUNIL69gWgfMeOmuA2OMoLo6Oe1D05jQa3ji4uBHTvwfF9e7i4BUOSVklWapE2Q7sjG7eCChJdDRiyk3Gt+I2iknRy9QIhJf5GR/r26k3M1On4xPdu+pwWSW7KCY7vOoj1aCm+ee4YpB5PoSfZ/TglkVYCEiJIjJ7IJQ52mAmVUqvIeWi11pP2xA5tu1c3GDJX++8UmNBh046bY7a1AlJpyYqitEAQsMS27lYHfCal/E4IsR9YJoR4AtgBvNv+Q/sLn2HmSrCawNGDpUuXApBVVMGpogpigz2Ze8ecRg8LDg5m5cqVNc8nTpzYaP9bpe05GHQ8PS2B6W9s5tnM/iwcNAd+W6z9/e5zjb2H1/n8+C848gNy0svM/8MViyzjySvj1Tr0DiIh1BNHg46klDwtuAVtYm7941CSDW6NL4dskk6ARaLTa1mmVtuEir0qJqvgti0NvA0qS7S7ixYTXPUuGGrTNeYNmMfqlNUs2beEBUMWYAgOonznDrjxBgD0Bh1hsT6k7sltMm89LC6Bbd8vx1RRgdGpYRW9qgoz6cn5pOzJ4dieHMqKqoB8XDhIUWkquN6IsewoRSVpBHt4EzlwCD2nz8DFr/G1LFJKCk/mcnTHPiqO5OOb5YaLxRF/jBx1KuGPbpk49fCiZ0ICk/xH2eeDrihTm5X980ftsfQUICB0IFy2EKIngl/MBRvQ1mWyzdyqglKKojRHSrkb6NfI9qPAoPYf0TlSb72tprTSjJNRr/V5VDqEAd28uX5wN97fnMKUO/5Jn1PJsOIf4BsFIf3tPbzOY+9XsOklGHALa5zG80Pydv7fhBjCfOzTg1hpPUeDnn5dvdiSklu7sfsILbg9ugESWlmoVgB14hSL7WNVmhpWAm8PKrhta8PuBb0DrPl/8NkNcPUSbfof8HX25fLul7PizxX8o98/cOnbj7IdO+odHt67C0d3ZJOTXoJfWMN1qWFxCfyx4ksyDu4nvI/24V6cV0Hq7hxS9+SQcbAAs6kSnfU4Dqb9yNKjVOksVAIeUlAlS0mIuoSJdz+EoZHgGCA/K5uje/ZTeiQX70wnvCvd8UfHKaMg2f8Yuu6udEuIZkjYdIw6O1QTLsyA479pC+GPbYbsZG27iy/0GAndR0LUmA5RfOJcU2nJiqJ0aDVpydVrbs/is6yyWPs7bNAKL1qlpKzKotYGdkD/Nz6atftP8v++OcCK2f/D8M4oWHYdzNkA7oHNn0D5a07uheVzIewiikY9ycKXfyM2yINbh0U0f6xyXhkU0YXFPx6mqMKEh5MRgvpp182H155FcCu0tGTbzG11WjJq5vYCNuQu7Y/q9/fBsllwzcfgoN3huiH2Br4+8jVfHP6Caf36UbRyJabMTIy24hbd4rV05GN7choNbkNiYtHp9RzYvJWTqZ6k7s4lN6MEq6UAozwMpfupsuQiBVRZJYEu7oT37kPPydPw6RlN7tIDVKYUonesrbacmZFG6p5kKo4W4p3ljG+lJwHoKNG5cswni2PxhQTHdyc2ahz927vnmpSQc8gWzP4GxzdDwXHtNQc3CBsEfWdpAW1APHTyQkqmmrTkzv3/g6IoHdlfuDknrVBVDM61XQHKqyxYpcStkUKNyvnNw8nIoslx3PHRdt7dXsTfZn0C746FT2+Am7+ruYGhtIGyPK2AlJMnzPiA59elkFNSyds3JqprjA7ooggfXpWwLTWfkTH+2vVy1FhtCZ/F3KpibUInQILO9u9AqrTkTmLgrdqH7vK/wyczYNYycHQjyjuKIUFD+CT5E67p8xIA5Tt31gS3Lh4O+Id7kLonl8SJtXfGTJUW0pLzSN2dgzAEsv+XLRidDRjNB7CWHaFKV0UV4CYFMcHdiLx0JBETJjVIXXbo5k75rmx+/WolFSeK8Mt2p0uVJ2E4U6S3csInl6ywcvx7dSU6egAxDu2cdlJ0AjK2a2tlT9gey/O111z9oOsQGHwndBsCAb1V5cTTWGrSktXMraIoHU91tWRBE/2HmlNZogW4Tp41m0qrtAsuF0f196IjGhcXyOheAbz8w2EuTxhO6JX/gc9v1mqcTH6tUyw5ancWs1ahujgTblnF9nwHPtpyjFuGRtAnzKv545XzTr+u3hj1gi0peVpwC9BzLOz6BNL/0K6rW8rWCkjobDO31WnJFsu5HXQLqU/29tTvetA7agWmPpwK130Ozl7cGHcjd/5wJxsdU4hydqZsxw48JkyoOSy8dxeSvkvh1LEislKKSN2TS8bBPCxmiVGYcTM7UWj5k6qSrzBLSYCLG+HxA+l5xZX4xtTvN1ZQUcDunN3szta+CtOyeYH7CP/Dg0KDjqwuheR1sxAUG0FU5EXEGtopzVhKKEyHrH1wcndtQFtyUntd6ME/Fnpdoa2d7TpUa7uk/oidUU1BqU4+g60oSkdlC2nFWYa3lUWA0DJ7bEorLTgZ9aoWQQclhGDRlDhGv/ATj63Yzzs3TdWuHX5+XiswNbjxAmHKX7D+MW0t5pTXMQf156HXNhHo4cR9Y3vae2TKWXJ20JMQetq62x6jQGeAw2taGdzaZm5t15pWtea2k0m4WpvB/WI2LJkE13/NxcEX092zO+8f/JAXesdTvv30dbe+JH2bwudPbwXAxVpEcOZ2umTvwrsiDV2/PqQFRBM29GK6j5mAg7PWV9dkNbEvd19NILs7ezfHi7UUXp3QEeUVRUJsPw5EFhIVGkOviO7EtUcQVFUKp5Iha6+2fiNrn/ZVWWjbQWgFIrqP0PrOhvSHwN4N+gUrzTOpmVtFUTqy0+PZ1nyUSQkVhVohKduMglVKSivNar1tBxfi5cy8MVE8tfIAa/edZOyIh7TridXzwT8GIobbe4gXjl2fwubXYNAc6Hc97/9ylAMni3nj+gG4qeyHDm1QhA9v/3yUsiozLg4GLcOl6xA4tBZGP9bi8wihFZzVGaqDW9sHtUpL7kRiJ8O1y2DZ9fC/CYibv2NOwhzm/zKfExGX4v3FdqxlZZhzcijdvJmKTZsJz/RAX1aIb+4efMK74DZiKK5D5+Pcvz86R0eipSSjJIMNWT+zN2cvu7N3sy93H5WWSkArXpXgm8C0qGkk+CUQ1yUOF2MbphhLCaU5kHNQWyObfUh7zDkMhcdr93Nwh4A46D1dewyIh4DYelUtlbNXPXOrKoIqitKxncXMrbkCLFXgFgBARUUFwy65hOLScnRYmXH11SxatIiUlBRmzpxJXl4e/fv358MPP8TBoWHw+/TTT/Puu++i1+t59dVXGTdu3Dl4X8rZuuXiCL7ansFjK/ZxcaQvrtPegndGw2c3aQWmvMPtPcSO7/gWWPF3CL8Exj3FiYJyXlx3iMti/BkXF2Dv0Sl/0eAIH/678U+2HytgWJSt5WjPcbD2EShIA6+wlp1IJ0BKdLpO0ApICPEeMAk4JaWMt23zAT4FwoFUYIaUMl9o9aNfASYCZcDNUsrtbTk+u4ocDdd/CR9fDR9OY8LN3/K+TwxfpO/mdouFI2PHYcnJAcAQHES/oUNxGzoBlyGPo/fyIrM0k99y97Nv3xvsy9nH/rz9FNpmPo06I7FdYpkRPYMEvwQSfBMIcg1qm7Y8lSWQnwr5KZB3tDaAzT4IFQW1+xldtNnYrheB741aABsQp/WbVanFbUa1AlIUpWOTCFvB5FarsGUD2dbbOjo68vmKVRRbDET6OjPy0uFMmDCBF198kXnz5jFz5kzuuOMO3n33Xe688856p9q/fz/Lli1j3759nDhxgtGjR3Po0CH0elWUyl6Meh1PTo3nqv/+xivrD/PQxF4waym8PRKWXgu3rgVHt+ZPpDSu4LhWQMozFGZ8AHoji77dhVVKHpscp3raXgASw33QCUhKya0NbqNswe3hNVpL05aw3XsU1QWlhPa5eEEGt8D7wGLggzrb5gPrpZTPCCHm254/CEwAomxfg4H/2h4vXOEXw8yP4eOr0S29lnmjH+TezLu5NiqYgK69cB06BNchQ8nzd2J/3n4tiN22gv05+8mv1IoqGYSBSO9IRncdTWyXWOK6xBHlHYWD/hylXEkJpdmQl2ILYFPqBLMpth6ydbj6g29PiJ+mPVZ/eYR0+srF9lDTCkilJSuKch55NulZDuQdaHa/qopyBDoMBgNYQOxtOpiM8YnhwUEP1m6oKNRurOq12hFCCDA64ySsYLVgMpkQQvDjjz/yySefAHDTTTfx2GOPNQhuly9fzsyZM3F0dCQiIoLIyEiSkpIYMqQV69KUc25ANx9mDQrj3U0pXNk3hNjgHjD9f/DxdPjyNu0aS6duQLRaZTF8cg1YTXDtZ+Diw/rkLNbsy+Kf46NVT9sLhJujgfgQT34/mle70TdKy3o4tLYVwa0Aa+3MrbTd+JCmCzC4lVL+LIQIP23zFGCE7fslwEa04HYK8IGUUgK/CyG8hBBBUsrMthyj3fUYCVe9DZ/fwpDN75DQ7SLuu+4QM6Jj2J/7K/v+eIu8Cu0fnV7o6eHVgxFhI2oC2Z4+PXHU/4XS91YrlOVo6QeFaVpRp8J07fv8VO2rqqTOAUILVH0itNQF73Dte+8I7bFOuwXF/lRBKUVROjwJrU5LtpjAVAbuQTWbrFJSVFbJtZeP4FjKUebOnUuPHj3w8vLSgmcgNDSUjIyMBqfLyMjgoosuqnne1H5K+3twfAxr92Xx8Dd7+PKOoegiL4MJz8HKB7QZqPFP23uIHYvVAl/cqmXgXf8l+EZRXmVh4fJ9RPm7cduw7vYeoXIODenRhfc2pdSuuxUCoifCH+9CRRE4eTR7DqETyDqtgHQ6bYJNmjtPQamA6oBVSpkphLDVnyYESKuzX7ptW4PgVggxB5gD0LVr17YdbXuImwqF6Yi1jzBvzCNcm/UHb+95m+6e3RkWMoy4LnHE+cYR7R2NU2v7ypoqaoPVmsA1XVv3WpgOhRlgW5dbw+iq5dl7h0P4sNrA1TsCvLqCsZ172ypnTRWUUhTlfFRvhvUMso4eQUgHfLx9sZZbcAhpYT2GyiLt0bH2wqyiyoLQ6fh1y1aoKmPq1KkkJyc3OLSxdEvtvnvz+yntz8vFgYcv78V9n+1i2R9pXDu4Kwy6HXL/hN//Az7dtedKy6xbqKWkXv6CNgEDvPrjYTIKyvl0zkU4GNTN8gvJxT18efOnoySl5DEi2haSxU7RfncOrdEK4TbH1gqoulqyTmcLLy/QtOTWaOyvRKO3aaWUbwFvASQmJp5V67vzzkVz4eAq4n5+lTU3f4uHb88zF3ySUmuoXZypfRWdgOKTUHwCijJrt5dmn3agAPdA8AyDoL4QM0n73itMW1fhGQpOXmod7AXCUj1zq9bcKorSAZ3tclvKC0DvUK/Kfomtv62rowGjixcjRozg999/p6CgALPZjMFgID09neDg4AanCw0NJS2t9v57U/sp9jG1XwifbU3jmVXJjI0LwNfNEcY9qS2hWvVP7eZ81Gh7D/P8t/V/8NtiGPS3mpTUQ1nFvP3zUa4eEMrg7l3sPEDlXBsY7oODXsfmP3Nrg9vQQVrWy/5vWhjc2loBGbS0ZJ1tKUhn6nObVZ1uLIQIAqoXbaYDdctyhQIn2n109qLTwZTF8N+LCfzhcZj4vC1APWkLXKuD2EwtgC0+qVWBPJ2LL3gEaf8og/tpgatnaG3w6h4MBtUCobOonrk1qGrJiqJ0RDW3rwUtDnMtZm3NoJtfvRu1x9IzEXoDRr0X5eXl/PDDDzz44IOMHDmSL774gpkzZ7JkyRKmTJnS4JSTJ0/m2muv5b777uPEiRMcPnyYQYMG/eW3p5wbQgieuLI3E175mae+T+bFa/pqa22vehf+Nx4+vxluXaMVslQad2gNfH8/RI6BcU8BWsbCI1/vxc3JwP+b2MvOA1TagrODnn5dvfj1SE7tRp0Oek2G7Uu0wrHNFWarbgV0elryhbjmtgkrgJuAZ2yPy+ts/7sQYhlaIanCC3697el8usOYx7V1Iq/1r/+a0bU2aA27qPZ79yDwCNZmY90CVeCq1GNW1ZIVRbkQtOb+XEUBIMGptgaE1So5nn6CR++/Cx0Sq9XKjBkzmDRpErGxscycOZNHHnmEfv36ceuttwKwYsUKtm7dyuOPP05cXBwzZswgNjYWg8HA66+/rioln2ci/d2449IevPbjEaYPCGVopK92UT7rU3jnMvh4Bty+XrteUurL2K7dAAjsDVe/D3otPPhiWzpJqXk8e1VvfFRv6AvWxZG+vPTDIfJLq2p7gMddCUlvwqHVWrvOMxDVrYBsn4nVackX5JpbIcRStOJRvkKIdOBRtKD2MyHErcBxoHq+eyVaG6AjaK2AbmnLsZ23Em/VqjsKnS2AtQWuLVjQrSinqy4opSZuFUXpmM5i5VF5Pugd66Ukl1aZieoVx+akrXg4Gevt3r17d5KSkhqcZvLkyUyePLnm+cMPP8zDDz/c+vEo7WbuyEiW7zzBI9/sZdW9l+Bo0INnCMxaBv+bCB9Nh1u+r2kPpaB1vvhkBrj6apWRbbN0+aVVPLUymcRu3lw9oIX9TpUO6eLILry4Dn47msvE3rYifGGDtR7h+79pNritrvdXXS3Z3mtu23Q6R0o5S0oZJKU0SilDpZTvSilzpZSXSSmjbI95tn2llHKulLKHlLK3lHJrW47tvKXTQb/roO8s6D4C/HqqwFY5ayaLxKgXqvCJoigdlqj+35Z8jFlMWoV/5/q1I0oqzQghcHU4n0qNKOeak1HP41PiOJpTyps/Ha19IbgvXPMhZCfDsuvAXNn0STqTsjytbZLFBNd9Ce4BNS89s+oAxRVmnpgaj07dIb+gJYR64eZoYFO91GS9lpp8eJ2WmnwmtlZAelvxUr2wrblVBaXs599rDnIwq9jew1CUc+5QVrFqA6QoSudRUaA9ntaWrqTCjIuDHr26SL/gjYj25/KEIBZvOMLkPsGE+7pqL0ReBlf+F766Hb6aA9Pf69w9cE3lsHSm1gryxuXaZIrNH6l5fLo1jb8N705MoJpgudAZ9ToGR/iwuW5wC1pq8h9vN5uaXN0KSNgKSumr+912ojW3553s4krS88vtPQxFOedcHAxM6auqGyqK0vE01n6nWeUFYHCql5JstlgpN1kI8FBt7DqLhZNi+flgNguW7+WD2YNqs5cSZkBJltb/drW/1g+3M2Y2WUzwxWxIS4Kr/wfdhtS8ZLJYeeTrvYR4OXPP6Cg7DlJpT0MjfVl/4BQZBeWEeNk+P7sOAY8Q2LX0zKnJtlZAettabZ2aubW/Z6cn2HsIiqIoiqKcSXMxiLlSS0l2D6q3uaRSu8Byc1SXPJ1FgIcTD4yL5tEV+/h2dyaT+9Rp2zT0H1rHid8Wa2sKhz9gv4Hag9UK39wJB1fChOchbmq9l9/blMLBrGLevjERF5XG32kMi/QFYNPhbK4Z2FXbqNNDn1mw6UWtc4tHE+3PaloBaR/SOmHfglIqX1FRFEVRlPNP3ZnblkziluVpj6enJFea0QuBi0MnTkHthK6/qBu9Qzz513f7Ka447SJ7zL+g9wz48V+w9T37DNAepISV98Oez+GyhTB4Tr2X0/PLePmHw4yJDWBMbEATJ1EuRD0D3AjwcOTnQ6elJve9FqQVdi1r+mAdIGVNBfnqwlLYqc+tCm4VRVEURTnvVMeztRO2Z5i6lRLKcsHRHQyO9V4qqTTj6mhQhfU6Gb1O8MSV8eSUVPLSusP1X9TpYMrrEDUWvpsHOz6yzyDbk5SwbqEWzA+bB5fc32CXx1bs1x4nq37AnY0Qgkui/Nh0JAeLtc7dxC49oOtQ2Plx/RuOpx0rpURUB7e2xGB7rblVwa2iKIqiKAghwoQQG4QQyUKIfUKIe2zbfYQQ64QQh22P3s2d65xozZrbymKwmsDFt/5mk4UqsxU3p9r0SovFQr9+/Zg0aRIAN998MxEREfTt25e+ffuyc+fORn/EkiVLiIqKIioqiiVLlrT+/Sjtrk+YF7MGdWXJb6kkZxbVf9HgADM+hO4jYfnfYdendhlju/nl37D5VRh4G1z2aIOX1+47yQ/JWdw7Oqp2zaXSqVza04/CchO70gvqv9DvOsg9oq3RbowQYKVm5lYvbAWlLsRWQIqiKIqidBhm4H4pZS/gImCuECIWmA+sl1JGAettz9vfmSZey3JAZ2jQOq/Ytt7WvU5w+8orr9CrV696+z3//PPs3LmTnTt30rdv3wanz8vLY9GiRWzZsoWkpCQWLVpEfn7+2b8Xpd38c1w0ns5GFnyzF6v1tBsmRieY+QmED4Nv7oC9X9lnkG3tt//Aj09Awkxtne1pWQyllWYeW7GP6AB3Zg+LsNMgFXsbFumLEPDzoez6L8ReCUZX2NlEhoMtLVlnq5YsaoJb+6y5VSvFFUVRFEVBSpkJZNq+LxZCJAMhwBRghG23JcBG4MG/8rNOPvUUlckHzjweJKaKCgQ6SgxGpFWia3TdrISqUhxjehG46Ml6rxRXmHE06HG0XXSlp6fz/fff8/DDD/Piiy+2eLxr1qxhzJgx+Pj4ADBmzBhWr17NrFmzWnwOxT68XByYPz6Gf365my+3p3N1Ylj9HRxc4NpP4aPp8OVtoDdCryvsM9i28MuLsH6R1rN0yutaSvZpXl1/mBOFFXwxqx9GvZr36qy8XR1ICPXi50PZ3Du6tjUUjm5aW6C9X8HYJ8DJs/6BtoJSeoP2b0cv9FhRM7eKoiiKopwnhBDhQD9gCxBgC3yrA2D/Jo6ZI4TYKoTYmp2d3dgurdPSrGSLbXbAWL/Vj9UqKa0015u1vffee3nuuefQnXaB//DDD5OQkMC8efOorKxs8CMyMjIIC6sNikJDQ8nIyGjhABV7mz4glP5dvXhm1QEKyxqZTXJwhes+g5AB8PktcOD79h/kuSYlbHhKC2x7Xw3T/wf6hnNaB08W886mFK5JDCMx3McOA1XOJ5dG+bIzraDh78mg27Vq9Ns/bHBMdSJA9eeqXuqw6AHVCkhRFEVRFHsTQrgBXwL3SimLWlqISUr5FvAWQGJi4hlD08CHHmr2fBazmexjKRhxwtPLF2myYgx0Pe2HWiFrv1ZEyrd+T87SKjNWKWtaAH333Xf4+/szYMAANm7cWLPf008/TWBgIFVVVcyZM4dnn32WhQsXnv7eGoxPFajqOHQ6wb+ujOeK1zbx77UH+deV8Q13cnSH67+AD6fBpzfA1Dch4er2H+y5UF08avOr0O96uOJVra1Lg90kC5fvxd3JwIMTYuwwUOV8M7ynH6/+eIRNR3K4PKFOW7XgftBtGGx5AwbfUf9Gie2zUG8LbnVSh0UHVpNqBaQoiqIoih0JIYxoge3HUsrqBYhZQogg2+tBwKl2GUx1QFkdQzYWS5bla4Wk3Bq2LSmuMCOEwNUW3P7666+sWLGC8PBwZs6cyY8//sj1119PUFAQQggcHR255ZZbSEpqWDQlNDSUtLS0mufp6ekEBzfR81E5L8UFe3LjkHA+2nKMPemFje/k5Ak3fgPdhsJXt8PW/7XvIM8FqxVW/dNWPOp2uOK1RgNbgOU7T7AlJY9/jovBx9WhnQeqnI/6hnnh7mRouO4WYMhcKEyD5OX1t9uiSWGoDW7NehXcKoqiKIpiR0KbinwXSJZS1l2QugK4yfb9TcDy049tC3XnShstnCwllGSBwVmbdTtNSYUZVwc9ep0WFT/99NOkp6eTmprKsmXLGDVqFB999BGZmZm200m++eYb4uMbzuqNGzeOtWvXkp+fT35+PmvXrmXcuHHn4m0q7ei+sT3p4urII8sbKS5VzdEdrvscosbAd/fCxmdaV7nbniwmWPF3SHoLhv4DJj7f6BpbgKIKE0+uTKZPqCfXDAxrdB+l8zHodQyL9OWnQ9kNM1Z6jgefHrB5cf3fieqZW1shKb3UYRVgNjVc4tEeVHCrKIqiKArAxcANwCghxE7b10TgGWCMEOIwMMb23P4qCsFSCe4BDaq/VpmtVJgtuDsZmz3NddddR+/evenduzc5OTk88sgjAGzdupXbbrsNAB8fHxYsWMDAgQMZOHAgCxcurCkupXQcHk5GHr48hl1pBSz7I63pHY3OWhXlPtfCxqfh27vBYp/1gy1WUQgfT9f6kY54CMb8q8HvRV0vrztMTkkl/7oyvuYGkKIAjIzx52RRBftPb5+l08GQu+DEdjj+e83m6iUa1QWlhMQ2c1vVbmOuS625VRRFURQFKeUmmm64c1l7jgWomRmoHZCo/1pJFugdwMmrwaHFFVo6XN1iUnWNGDGCESNGAPDjjz82uk9iYiLvvPNOzfPZs2cze/bsVr0F5fxzZd8QliWl8dyaA4yPD2w6HVdvhCv/A54h8PPzUJAGV/8PnNunzXOr5B+DpbMg5yBM+Y/Wl/QMkjOLWPJbKtcO6kpCaMPfH6VzGxntjxCwPvkUccGnVUbucy1seFprLXXzd9oNFNtUqc6W/q5DW3NrsVNwq2ZuFUVRFEU5D1WvubUFtXXD7opCMJVpa20bmZ0qrjDjoNfhaFCXOUp9QmjFpUoqzDy3+sztqBACRj0CkxdD6iZ4exScauaY9nb0J3hrBBSma+nUzQS21UWkPJwM/N+46PYZo9Kh+Lk70ifUi/UHGimv4OACI+bDsU1wcKW2rUFBKaGCW0VRFEVRlLpkU4turVYoygCDE7h0aXCc1SopqTTj7mQNCc6kAAAgAElEQVRUFY2VRvUMcGf2sAiW/ZHG9uP5zR/Q/wa4+XuoLIF3LoM9X7T9IJtjtcKvr8CHV4KbP8zZAD1GNXvYV9sz+CM1n/kTYvByUUWklMZdFuPPrrQCsosbWTc74Bbw7alV5LaYau8/CgEIu6clq+BWURRFUZTzjmyQlmxTkgWWKvAMbXTWtroFkLuzWnmlNO3uy6II9HBiwTd7sTRVXKquroNhzkYIiIcvb4Xlc6GqtK2H2bjik/DRNC24iJkEt/0AXXo0e1hhuYmnVyXTN8yLqweoIlJK0y7rpVWg39DY7K3eoK3pzj0CW98D25ptoQPQIWwzt1azqpasKIqiKIpSX9341VypBbdO3o1WSAYoqjCjEwI3BxXcKk1zczTwyKRe7DtRxEe/H2vZQZ4h2gzuJQ/Ajo/hjWGQ8kvbDrQuKbVZ4/8O1Qr6THoZZnzQ5O/C6V5ad4i80iqeuDIenSoipZxBryB3gjydWH8gq/Edeo6DiOFawbUKrbWWkAACYQWLagWkKIqiKIpSq3bmts5FeMFxbbbWs/Ees1JKistNuDka1MW70qzLewcxLNKXf6892Hj6ZWP0BrhsAdz0rRZsLpkEK+6G0ty2HWx+qlYN+ctbwasr/O0nSLzljBWR69p3opAPfkvl+ou6ER/i2ez+SucmhGBUjD+/HM6h0mxpbAeY+ILWfmr7+wC2z1xbWrIOpApuFUVRFEVRbORp31sqoKoEPMO0KsmNqDRbqbJYm6ySrCh1CSFYNCWOCpOFp1clt+7giEvgzs1aP9kdH8KrfeGXF6Cq7NwOsiQbVs2HxQO12drxz8Jt68Gv5cWgrFbJwuX78HZx4P4xqoiU0jKX9fKnrMrC70fzGt/BrydMWYzIPwrYkmyEDiRYdSDt1D5LBbeKoiiKopx/qotICbQ1thYTuAeBS9P9ZYtqWgA13t+2oKCA6dOnExMTQ69evfjtt9/Iy8tjzJgxREVFMWbMGPLzGy8wtGTJEqKiooiKimLJkiV/6a0p548efm7MGd6dr7ZnkJTSxEV8UxxcYOwTcNfvED4M1j8OL/eGDU9BSSNrFVsj54gW1L7aF5LehIRrYG4SXHQH2FqutNQX29PZdkwrIuXp0nzvZ0UBGNrDFyejjh+Tm0hNBoibCpEjARB7PqN25laotGRFURRFUZRq1RO3wmLSAlu9UWv9cwbF5WacjHocmmgBdM899zB+/HgOHDjArl276NWrF8888wyXXXYZhw8f5rLLLuOZZ55pcFxeXh6LFi1iy5YtJCUlsWjRoiaDYKXj+fvIKEK8nFnwzV5MFmvrT+AXDbOWwi2rIDQRfnoWXoyFj2fAjo+02deWyE+F39+A9yfB4gHwxzsQPUELaqcs1tb8tlJhmYlnVh1gQDdvruof2urjlc7LyahnWKQv6w+cqlkm0qi4KwEQv74ECITFjEUHmO0zc6vydhRFURRFaVe/fHaInLSSM+5jNVVitljRAXqdEYRAGJuesfIJdcXn4kD83BtPWS4qKuLnn3/m/fffB8DBwQEHBweWL1/Oxo0bAbjpppsYMWIEzz77bL1j16xZw5gxY/Dx0WaNx4wZw+rVq5k1a1bL3rByXnN20PPoFbHM+XAbSzanctsl3c/uRN2Gal85R2Db/2D/cji8RnvNsysE9wGPEK2FlcFJS7OvKIScw5C1D0pOavv69oSRj0D/G8H9zDd0mvPvtQcpKKvi8SmD1Dp0pdVGxQTwQ/IpDmWVEB3YROEygxZOiiF/h8PrIedPLHqQKrhVFEVRFEWxqUlL1tmK5pz5wtxklkgkHs6Np10ePXoUPz8/brnlFnbt2sWAAQN45ZVXyMrKIigoCICgoCBOnWqYTpqRkUFYWG3rlNDQUDIyMs7ufSnnpTGxAYyM9uOldYe4ok8wAR5OZ38y30gY96SWsnxiB6Ru0h5P7oajP0FlUe2+Du7gEwE9RkJQH4ga26K2Pi2xJ72Qj7Yc46Yh4cQFqyJSSuuNivEHYP2BrCaD25o+twOuhw9+BItJm7k1qeBWURRFUZRO4JIZPZvdp7yomMLsk7g4uOHs4AF6HUZf5yb3P5ZbSlmVBecmZnfNZjPbt2/ntddeY/Dgwdxzzz2NpiA3prGUPNHCKrVKxyCEYNHkeEa/9BNPfJ/Ma7P6nYuTQkh/7asucxVYKsHoCrq2WSFotUoWLN9LF1dH5o1p/vdNURoT6OlEfIgHPyaf4q4RkY3vZPss1FoB6RDSilkPsryRKsvtQK25VRRFURTlvFMbTjYfRFqtkuIKMx5OxiaDztDQUEJDQxk8eDAA06dPZ/v27QQEBJCZmQlAZmYm/v7+jR6blpZW8zw9PZ3g4MbbESkdV9cuLtx5aQ++3XWC34+2YWsfg4PWm7aNAluAz7amsTOtgIcmxuDZRDaDorTEqJgAth/PJ6+0qvEdqmduhXaTSEqBRQeisRZC7UAFt4qiKIqinLeEqP/YmJJKM1Yp8XBuOiEtMDCQsLAwDh48CMD69euJjY1l8uTJNdWPlyxZwpQpUxocO27cONauXUt+fj75+fmsXbuWcePGnf2bUs5bd47oQai3M48u34f5bIpLnQfyS6t4dvUBBoZ7M7Vf64tQKUpdo3v5Y5Ww8WATFcBtH87SCiBAoqUlW1RwqyiKoiiKAtRJBRaifs/bRhSWm9DrBK6OZ15t9dprr3HdddeRkJDAzp07eeihh5g/fz7r1q0jKiqKdevWMX/+fAC2bt3KbbfdBoCPjw8LFixg4MCBDBw4kIULF9YUl1IuLE5GPQsmxXIwq5gPfz9m7+GclefXHqSowszjU+JV+rzyl8UHe+Ln7sj6A40Ht6I6mpTS9kTYNbi125pbIUQqUAxYALOUMlEI4QN8CoQDqcAMKaWqta8oiqIonY0tuG3u0lxKSXGFCXcnI7pmLuT79u3L1q1bG2xfv359g22JiYm88847Nc9nz57N7Nmzmx+30uGNjQ1geE8/Xlx7iEkJwfi5O9p7SC22K62ApUnHuWVoBL2CPOw9HOUCoNMJRkX7s3JPJpVmC46G0+oaVH/uWiUCgZQg9QJhtk/mg71nbkdKKftKKRNtz+cD66WUUcB623NFURRFUToZWX1dVJOX3Ph+pVUWzFaJh5OqkamcG0IIHr0ilgqzhedWH7D3cFrMapUsXL4XXzdH5o2JsvdwlAvIuPgAiivNbP6zkbXo1S2mJCB0SAToBEKlJQMwBVhi+34JcKUdx6IoiqIoit1UpyVXf9d4dFtUbkIIgbuTKpqjnDs9/Ny4dVh3Pt+WzvbjHSOJ8PNtaexKL+ShiTHq90E5p4b28MXN0cCavScbvlgd29rSkiVCm7m105p1ewa3ElgrhNgmhJhj2xYgpcwEsD02LFkICCHmCCG2CiG2Zmdnt9NwFUVRFEVpL7ImLbnpNbdSSooqTLg5GtDr1NpC5dz6x6hIAjwceXT5PizWZhZ+21lhmYnnVh8ksZs3V/ZVRaSUc8vJqGdkjD9r92c1+F2oWdctte+tQgd6ga4TpiVfLKXsD0wA5gohhrf0QCnlW1LKRCllop+fX9uNUFEURVEU+6hbUKoJFSYrVWbrGaskK8rZcnU08PDlsezJKOTTP9KaP8COXvrhEPllVSyaEqeKSCltYkJ8IHmlVfyRmlf/hep/blICOiQ6EHS+mVsp5Qnb4ynga2AQkCWECAKwPTZRc1pRFEVRlAta9cytAG1KoOEuRRUmADxUCqbSRq5ICGJwhA/PrTlAflN9Pu0sObOID35L5drBXYkL9rT3cJQL1KU9/XA06Fh9empy3YJStmrJQgc6CdLa/gGuXYJbIYSrEMK9+ntgLLAXWAHcZNvtJmC5PcanKIqiKIp9yRbM3BaVm3B1MGDUn28lRJQLhRCCRVPiKK4w88K6g/YeTgNSSh5dsQ9PZyMPjI2293CUC5iro4HhPf1Ys+8k1jqpydWtgKQtLVkrKKW9Ls3mdh+nvf4aBACbhBC7gCTgeynlauAZYIwQ4jAwxvZcURRFUZQ2JoR4TwhxSgixt842HyHEOiHEYdujd7sNqGbmtvE1t1VmC+UmS4tTkg8ePEjfvn1rvjw8PHj55Zd57LHHCAkJqdm+cuXKRo9fvXo10dHRREZG8swz6vKkM4kJ9ODGId34eMtx9mYU2ns49Xy7O5OklDweGBeNl4uDvYejXODGxwWSWVjB7rq/B3VmbhFCK5osbB/anSW4lVIelVL2sX3FSSmftG3PlVJeJqWMsj3mNXcuRVEURVHOifeB8adts1uLvuqJ26ZaARVVaBdNLU1Jjo6OZufOnezcuZNt27bh4uLC1KlTAZg3b17NaxMnTmxwrMViYe7cuaxatYr9+/ezdOlS9u/ff1bvS+mY7h3dky6uDixcvrferJU9lVaaeer7ZOJDPJg5sKu9h6N0AqN7BWDQifqpybq6BaW0aslCaOnI9pi5VRUYFEVRFEVBSvmzECL8tM1TgBG275cAG4EH/+rP2vD+W5w6dvSM+5irTFgtZgwGI8IqQC8Qhtp78hVVFiSQ7KAHwL9bd0bePKeJs9W3fv16evToQbdu3Vq0f1JSEpGRkXTv3h2AmTNnsnz5cmJjY1t0vNLxeTobeXB8DP/3xW6+3pHBVQNC7T0kFm84wsmiCl6/rp+qFq60C08XI0N6dGH13kweHB+tZdbUaQUkhA4pBTphBUSnSktWFEVRFOX816IWfdAGbfrOMDkmJVgkZ31Bv2zZMmbNmlXzfPHixSQkJDB79mzy8xv2NM3IyCAsLKzmeWhoKBkZGWf1s5WO66r+ofTr6sXTqw7UFDOzl6PZJbzzy1Gm9Q9hQDcfu45F6VzGxweSmlvGoawSoH4rIC0tWSKwaJtMauZWURRFUZQOSEr5FvAWQGJi4hnzNlsyw1pwIouK8iK8fQIQZTp0rkYMXo4A5JVWkp5fTpS/G84OrbuUqaqqYsWKFTz99NMA3HnnnSxYsAAhBAsWLOD+++/nvffeO/29NTiParfS+eh0gscnxzP59U288sNhFkyyz8y9lJLHv9uPo0HP/AkxdhmD0nmNiQ3gkW/2snrvSaID3WuXjNiqJUtAp6tec9v+N4HUzK2iKIqiKE2xY4s+W0EpXcM1twVlJhwMOpyM+lafddWqVfTv35+AgAAAAgIC0Ov16HQ6br/9dpKSkhocExoaSlpabZ/T9PR0goODW/2zlY6vd6gnswZ15f3NqRzKKrbLGNYnn2LjwWzuHR2Fv7uTXcagdF7+7k4kdvNm1d5MbUPNmltbKyAJOtH5qiUriqIoinL+s1uLvvoFpWpnTs0WK6WVFrycjWc1e7p06dJ6KcmZmZk133/99dfEx8c3OGbgwIEcPnyYlJQUqqqqWLZsGZMnT271z1YuDP83Nhp3JwOPLt/X6Kx+W6owWXj8u/1E+rtx09Dwdv3ZilJtfHwQB04Wk5pTWlv0T4LQVc/c2jap4FZRFEVRFHsQQiwFfgOihRDpQohbsWuLvsZbARVWmJBIPJ1bViW5rrKyMtatW8e0adNqtv3zn/+kd+/eJCQksGHDBl566SUATpw4UVM52WAwsHjxYsaNG0evXr2YMWMGcXFxf+G9KR2Zt6sDD4yN5rejuXy/J7P5A86ht38+yvG8MhZNjlP9nRW7GRenZb6s2XeyNratTkuWEr0dZ27VmltFURRFUZBSzmripcvadSA2DVoB2RSWmXA06M8qJdnFxYXc3Nx62z788MNG9w0ODq7X83bixImNtglSOqdZg7qyNOk4T36fzMhof1wd2/6SOqOgnNc3HmFCfCAXR/q2+c9TlKaEervQO8ST1ftOMrtXkLZRVi8jkbWZymrmVlEURVEUhZrotu6a2+qUZE9ngyropNiVXid4fEocmYUVvL7hSLv8zCe/13orP3x5r3b5eYpyJuPjA9lxvIBTxZXaBtnIzK1JFZRSFEVRFEWpUR3ECqCwvDol2cG+g1IUYEA3H67qH8rbvxzlaHZJm/6sX4/ksHLPSe4aEUmot0ub/ixFaYlJCdqM7YZDWp1BaVtsK6VEb6uWbK6qbPdxqeBWURRFUZTzkC0vuc4EbWF5dUqyunxRzg/zJ8TgZNCz6Nv9bVZcymSx8uiKfXT1cWHO8O5t8jMUpbW6dXGlT6gn6w/Yiujb1tyCxGCbua2qKm/3cam/DoqiKIqinHe0OEFQHd1aJZRWmvE8yyrJitIW/NwdmTemJz8dyuaH5LbplLVkcypHTpWwYFLsWa01V5S2ckWfYPZXt8SSEl31zK3tI9qkgltFURRFURQ4vc9thcmCBDxdWl8lWVHa0o1DuhEd4M7j3+2jwmQ5p+c+VVzBKz8cZkS0H6N7+Z/TcyvKXzUpoU6/b1m9jMSKwah9TpurKtp9TCq4VRRFURTl/FOT4akFt+Vmq5aSbFCXLsr5xaDX8djkONLyynnjpz/P6bmfXXWQCrOFhZNiVcaCct4J9HSid5gXYGsFpNOBlBgcHAEwqTW3iqIoiqIodWNb7YK+ymz9yynJr7zyCvHx8cTFxfHy/2/v3sOjqu88jr+/SUgCBJAAYmhQUAMCttItIFatVjZStWL7WF2xF1ug6vbm2nZb1hYK3brFdu3qU2i76trF2j7uuhUFpYDaZcG2goq1gkDBXYUAyi1ykUsg+e4f5wSm5EoyM2fOnM/refKQzI3v55yZ+c458zu/c889AOzevZvq6mqqqqqorq6mtra22fvOnTuXqqoqqqqqmDt3bodrkPx0wVl9+Oj7Kvjp0tfZvPtAWh7zpTdr+fWqGiZfdCZn9itLy2OKpNvlI04D4K13DmJWiNNAUZdg41bf3IqIiIgAweatHZtPyoFTOjEkefXq1dx///2sXLmSV155hSeffJINGzYwa9Ysxo0bx4YNGxg3bhyzZs1qct/du3czc+ZMVqxYwcqVK5k5c2aLG8GSXN+6ahgFZtz51NpOP1Z9g/Od+avp37OEL192dhqqE8mMy8Lh8q/W7En55rYUgKNHs//NbebPOC0iIiKS4p0Fr1O39d1Wb3Pk0CEcZ0fJfryuHjPYW1zIXpr/5rZ4QHdOufqsFh9v7dq1jB07lm7dgtOoXHLJJcybN48nnniCpUuXAnDTTTdx6aWXctddd/3FfRcvXkx1dTXl5eUAVFdXs2jRIiZOnNjeyJIAFb268qXLzuaHi9fz3IadXFTVt8OP9R8vbGb1lr3ce8NIupfo47rkrt5lJWwDVtfs4YwCA3eKS7oBtToVkIiIiEiqxuHJBXZ85uSOOPfcc1m2bBm7du3iwIEDLFy4kM2bN/P2229TURGcr7GiooLt25vOeLtlyxYGDhx47O/Kykq2bNnS4Vokf02+aDBn9OnGjAVrOFLf0KHHeOdAHT9cvI4xg8uZcN6Atu8gEqHGI0X2HjzCoaPgNNClJNiJWB/Bxq12BYmIiEhWtfYNa6Mdb2yivv4IRf3eQ4+9R/AexZT0Kunw/zls2DC++c1vUl1dTVlZGeeddx5FRe37GNTc+Us1uY80p7RLIdOuGs6Uh15k7u/fYMrFJ39e2ruX/Jk9B48wc8IIPc8k94Uz2ncxY+/ho5g7RSXBMeJRDEvWN7ciIiKSs/YcPAJAUWHnP+RPnjyZVatWsWzZMsrLy6mqqqJ///5s27YNgG3btnHqqU1Pt1JZWcnmzZuP/V1TU8OAAfpGTZo3btipXDq0H/c+s4Ed+07uw/2arXv45Yo3+cwFgxhW0TNDFYqkUbgDpqpfd945WA80UNK1BwD1dXVZL0cbtyIiIpJ7HMA4fCQc2pmGb7Aahxxv2rSJxx57jIkTJzJhwoRjsx/PnTuXa665psn9xo8fz5IlS6itraW2tpYlS5Ywfvz4Ttcj+cnMmP7R4Rw6Ws9di9a1+37uzoz5azilWzG3//WQDFYokj4Wbk2OGNCTIw0OOF269gKg/vDBrNejjVsRERHJQd6JI2ybd+211zJ8+HCuvvpq5syZQ+/evZk6dSpPP/00VVVVPP3000ydOhWAF198kSlTpgBQXl7OtGnTGD16NKNHj2b69OnHJpcSac6Z/cqYfNGZ/NdLNby8qX0zaz/xx6288EYt3xg/lF6dmBlcJKvCHY9n9y2DggJSN24bDqfntFgnQ8fcioiISM7qXlwIdU2Pee2I5cuXN7msT58+PPvss00uHzVqFA888MCxvydNmsSkSZPSUockw5cuO5vHVtUwY/4a5n3hQgoKWt5ds//wUf5p4VrOq+zF9aMGtng7kZwTPq2LzDilWwnsg4ISfXMrIiIickzjHE49u4bfYGleHYmZspIi7rhyGK/U7OHRlza3etsfP7uB7fsOM2PCiFY3gkVyTuMhI+707dEVgI17CgFoOKKNWxERERE8PAlQmc7xKTF2zcgBjB7Umx8sWn9scrQTbdy+nwd/939cP6qS95/eO8sVinTS8W1bepcFM9qv3HSEeoMGnedWRERE8lVzp9RpS5y+xOpIPslvZsaMCSOoPVDHPc/8ucn17s7MBWso7VLINz5yTgQVinSOmQUbuO4UFgXf2K7YfJT6Qm3cioiISJ4qLS1l165d7d4ANEjLDMnZ4u7s2rWL0tLSqEuRHDNiQC8mjjmdh/7wJuvf2vcX1y157W2Wb9jJV6uH0Les4+dxFomUGTQcP//3/oauHC0AP5L9UwFprI+IiIhkXGVlJTU1NezYsaNdt9+3M9gQ3nXgAPV76yjc1QUrLsxwlZ1TWlpKZWVl1GVIDvr65UN56tVtzJi/hl99/nzMjP2Hj/LdBa8xtH8PPj32jKhLFOm4AsCdgsLgPXpAn37Ua+NWRERE8lWXLl0YPHhwu28/+5OTaWio59a7Z7P94Zfp8+lhdB3WN4MVimRO7+7FfO3yoUx7fDULX32Lq95XwfTHV7Ntz0H+85YLKCrUYEqJLzPDHawgeB5fMuIMGgrhSF32N25z7pVkZh8xs/VmttHMpkZdj4iISNJF0pvdw6Fu3lhEVv5bkUy5cczpDKvoyZ1PvcYvV7zJYy9v4Svjqhg1SOdMlpgL36sLwp00HxpSQX0B1B1qfhK1TMqpjVszKwTmAFcAw4GJZjY82qpERESSK6re7DiGQeMhunGaWUqkGYUFxswJI9i65xDfmreaMYPL+fJlVVGXJdJ54YRSBQXBsOQeJYU0FEBBQ33WS8m1YcljgI3u/r8AZvYIcA3wWqRViYiIJFckvfmCftX0Lu7HjgdeJfh/M/m/iWTHmMHlfOIDlfz3uu3ce8NICrXTRvKAFRr7V2xjWMMAhpz+ZfbNfpUBH7oXO9j6+Z0zIdc2bt8DpC6FGuD8E29kZjcDN4d/7jez9eHvfYGdGa0wPXoBe9L0WHHJ3BEtLad8ztySljKn87mUa9K1nuO0jKJ8bke1nHLt9axZXZrKjd58V6cfoS3qze2j3nxcp3rzgOlprycb1JuzK/69ec6UdDxKu3tzrm3cNrf7qsk5A9z9PuC+Jnc2e9HdR2WisHQys/vc/ea2b9mux4pF5o5oaTnlc+aWtJQ5nc+lXJOu9RynZRTlczuq5ZTE13MMqTef/GPFInNHqDcfp97cqceJzTJSb46XnDrmlmBv8MCUvyuBrRHVkkkLoi4gJrSc2qZl1DYto/bRcpKWqDdLKi2ntmkZtU3LqH20nE5Srm3cvgBUmdlgMysGbgDmR1xT2rm7nqjtoOXUNi2jtmkZtY+Wk7RCvVmO0XJqm5ZR27SM2kfL6eTl1LBkdz9qZl8CFgOFwIPuvuYkHqLJcKgEUOZkUOZkUGbJOerNHaLMyaDMyaDMMWLuTQ6bEREREREREYmVXBuWLCIiIiIiInLStHErIhIBM521U0REJJeoN8dfrDZuzexMMxsadR3ZZGblUdeQbWbWI+oass3MukddQ7aZ2YDw31i9D3WGmVWZ2YUAnqBjQsysX9Q1SOaoNyeDenMyqDerN8ddLJ64ZlZqZj8hmMyicbbGvGZmZWb2I2C+mf2dmQ2PuqZMM7PuZjYb+LWZ3Whmg6OuKdPC9fwvwMNm9ikza/dJquPMzD4B1JjZGHdvyPcmambF4XvYk8AAMyuJuqZsCJ/fdwOLzOzOxg8Pkh/Um9Wb85V6s3pzPsv33hyXJ+31QB93r3L3Re5eF3VBmWRmZcBcoB64A3gv8FeRFpUd3wV6At8D3g/MiraczDKzi4DlwEHgQeBiYGKkRWVPAfAWcDeAuzdEW07GVQOnuvtQd3/U3Q9HXVCmmVkRMIdgVv7PAA6Mi7QoSTf1ZvXmvKPerN6cz5LQm3N+4zbca3Qa8HD494fN7ANm1jvaytIvZZz/acCZ7v737r4MMII3m7xkZoVm1hUoA74fZr4TKDCzb0dbXUbtAn7i7neE5zH7I9AH8vOYDzMrSMnVA7gSKDOzL4TX59SpydIhJVNf4PnwssvD97GB4d85/z7cQf2AQe5+W3jamG7A2ohrkjRRb1Zvjra6jFJvVm9Wb46xnFtxZnaOmf3MzG4zs57hXqMhwMVm9kXgLuALwC/MrCLSYtOkMTPwlTDzxuBie9DMngc+CNxiZj8ysz7RVpseZnaWmX0OwN3r3f0gwQeHG8LL3iFY158ws9OiqzR9UjMDuPta4FcpTWULcEZ4XV4c83HCem4g+DAIUAWcBdwKTDOzKiAvjm06IfPR8OLBQF8z+yzBh8MJwG/MbGA49Cv2H5iaeX5vA9zMfm5mK4CPAhPM7PF8ee9OEvVm9ebwMvXmPKDerN6cz705pzZuLTiO42HgdeA84GdmNgT4PnAjMNTdxxA00A3AtKhqTZdmMv+rmZ0DXAgsAV5193MIshYCN0dVa7qEewNfAm43s2tTrvoOcIOZ9Q3//hOwFLgquxWmX3OZzazA3d9NaZYjgTVR1ZhuLaznxvecncAqd18BHALWAyPNrDD7laZPK8/tXxC8ds8Hxrr77cAzwGyI/wemVnJfTTCMc7j7hTIAAAhrSURBVK27DwGmAG8C07NfpXSUerN6M+rN6s0xpt6crN6cUxu3wDnATnf/IXALsA64CdgPzCc47oFwTPxy8mM40ImZ1wKfAroSDBXYD+Du64CtwDsR1ZlOrxO8kKYBN5pZKYC7/xH4LceP9agjOLZpR0R1plOTzI3HsqQ0jQrg9+Fl48ysfySVpk9zmRv3lvYCHjGzV4AXgH3AH9y9PppS06al5/brwM8JvulpfN/9ObDVzLpEUWiatZR7HzCQ4ENS43v3c8D2iOqUjlFvVm9Wb0a9OcbUmxPUm3Nt43Y1cMjMznH3I8BCgkbyIeBrQLmZfdzMxgFfJxgqEnfNZe5GcHD3KuCDZjbaghkZPwbsjq7U9HD3xcBjBMex7Ab+NuXqrxEMc7vFzMYTrPvYT2jQUuZwD3G9Bcd2VABDzWwhwUH+sc7dSmYjaJpvALe6+/XAI+TBJCVtPLenEnwAnhzuQf0psD583cdaM7lvTbl6CcGQp/FmNgr4Kvnx3p0k6s3qzerN6s2xpd6csN7s7ln/AU4BLOVvC/89m2CY05SU624Hvhv+fgnBsKelwN9EUXsWM98R/v51YAHBMKC8yJzydxFwBfAUUJVy+YUEL7LngU9GnSNLmasIGuZS4Iaoc2Qw85Dwsu4n3KYg6hxZWs/DCY5dWxC39dzJ3J8DfgW8HLf3sST9qDerN4d/qzcfv1y9OQeyZGE9qzfH7H2stZ/GN/GssWCGveuAZ4HV7v6gmRV6OOTBzD5PMBzoUXd/3szGAve7+3uzWmgadTazmfVz91gN/2khc4GfMK18OCHFbcC77v698DiuDZ7tJ2YadCJzlbtvMLPb3P3eCErvsM6uZwiOaTEzi8s672TmjSfeLi7S8PwudfdDEZQu7aDerN58wu3Um9Wb1ZtjQL25qawNSzazCjN7mKBRXEdwXM4kM+vqx4d+QHAy+LeA6RacU24QsNLMumWr1nRJQ+buAHFqnm1kbvLG4e5vAf8O3GRm7xLM2har2enSkPnj4eWxaZ6dzLyfcD03Ns0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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aois = pd.DataFrame(index=ephemout.index)\n", "tilts = pd.DataFrame(index=ephemout.index)\n", "azis = pd.DataFrame(index=ephemout.index)\n", "thetas = pd.DataFrame(index=ephemout.index)\n", "\n", "for tilt in np.linspace(0, 90, 7):\n", " tracker_data = pvlib.tracking.singleaxis(ephemout['apparent_zenith'], ephemout['azimuth'],\n", " axis_tilt=tilt, axis_azimuth=180, max_angle=90,\n", " backtrack=True, gcr=2/7.)\n", " aois[tilt] = tracker_data['aoi']\n", " tilts[tilt] = tracker_data['surface_tilt']\n", " azis[tilt] = tracker_data['surface_azimuth']\n", " thetas[tilt] = tracker_data['tracker_theta']\n", " \n", "fig, axes = plt.subplots(2, 2, figsize=(16,12), sharex=True)\n", "ax = axes[0,0]\n", "aois.plot(ax=ax)\n", "ax.set_ylim(0,90)\n", "ax.set_title('aoi')\n", "\n", "ax = axes[0,1]\n", "thetas.plot(ax=ax)\n", "ax.set_ylim(-90,90)\n", "ax.set_title('tracker theta')\n", "\n", "ax = axes[1,1]\n", "tilts.plot(ax=ax)\n", "ax.set_title('surface tilt')\n", "ax.set_ylim(0,90)\n", "\n", "ax = axes[1,0]\n", "azis.plot(ax=ax)\n", "ax.set_title('surface azimuth')\n", "ax.set_ylim(0,360)\n", "#ax.hlines([0, 90, 180, 270, 360], *ax.get_xlim(), colors='0.25', lw=1, alpha=0.25)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The simple case of ``axis_tilt = 0`` shows the panels pointing directly East in the morning and directly West in the afternoon. If ``axis_tilt > 0`` then the panels always point South of East and South of West. The panels point towards South near sunrise, rotate towards East in mid-morning, then back towards Sorth around noon, continuing towards West in the mid-afternoon, and finally back towards Sorth near sunset.\n", "\n", "Next, what happens if we try to point the panels North?" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/holmgren/git_repos/pvlib2/pvlib-python/pvlib/tracking.py:542: RuntimeWarning: invalid value encountered in arccos\n", " index=times).sum(axis=1))))\n" ] }, { "data": { "text/plain": [ "(0, 360)" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aois = pd.DataFrame(index=ephemout.index)\n", "tilts = pd.DataFrame(index=ephemout.index)\n", "azis = pd.DataFrame(index=ephemout.index)\n", "thetas = pd.DataFrame(index=ephemout.index)\n", "\n", "for tilt in np.linspace(0, -90, 7):\n", " tracker_data = pvlib.tracking.singleaxis(ephemout['apparent_zenith'], ephemout['azimuth'],\n", " axis_tilt=tilt, axis_azimuth=180, max_angle=90,\n", " backtrack=True, gcr=2/7.)\n", " aois[tilt] = tracker_data['aoi']\n", " tilts[tilt] = tracker_data['surface_tilt']\n", " azis[tilt] = tracker_data['surface_azimuth']\n", " thetas[tilt] = tracker_data['tracker_theta']\n", " \n", "fig, axes = plt.subplots(2, 2, figsize=(16,12), sharex=True)\n", "ax = axes[0,0]\n", "aois.plot(ax=ax)\n", "ax.set_ylim(0,90)\n", "ax.set_title('aoi')\n", "\n", "ax = axes[0,1]\n", "thetas.plot(ax=ax)\n", "ax.set_ylim(-90,90)\n", "ax.set_title('tracker theta')\n", "\n", "ax = axes[1,1]\n", "tilts.plot(ax=ax)\n", "ax.set_title('surface tilt')\n", "ax.set_ylim(0,90)\n", "\n", "ax = axes[1,0]\n", "azis.plot(ax=ax)\n", "ax.set_title('surface azimuth')\n", "ax.set_ylim(0,360)\n", "#ax.hlines([0, 90, 180, 270, 360], *ax.get_xlim(), colors='0.25', lw=1, alpha=0.25)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The 0 tilt case is repeated for reference. For small Northward tilts, such as -15, the panels point towards North near sunrise, rotate towards the east in mid-morning, then back towards North around noon, continuing towards West in the mid-afternoon, and finally back towards North near sunset.\n", "\n", "The algorithm returns ``nan`` for larger Northward tilts at midday since the beam component of the irradiance would be 0." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Play with axis_azimuth." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0, 360)" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aois = pd.DataFrame(index=ephemout.index)\n", "tilts = pd.DataFrame(index=ephemout.index)\n", "azis = pd.DataFrame(index=ephemout.index)\n", "thetas = pd.DataFrame(index=ephemout.index)\n", "\n", "for azi in np.linspace(90, 270, 5):\n", " tracker_data = pvlib.tracking.singleaxis(ephemout['apparent_zenith'], ephemout['azimuth'],\n", " axis_tilt=0, axis_azimuth=azi, max_angle=90,\n", " backtrack=True, gcr=2/7.)\n", " aois[azi] = tracker_data['aoi']\n", " tilts[azi] = tracker_data['surface_tilt']\n", " azis[azi] = tracker_data['surface_azimuth']\n", " thetas[azi] = tracker_data['tracker_theta']\n", " \n", "fig, axes = plt.subplots(2, 2, figsize=(16,12), sharex=True)\n", "ax=axes[0,0]\n", "aois.plot(ax=ax)\n", "ax.set_ylim(0,90)\n", "ax.set_title('aoi')\n", "\n", "ax=axes[0,1]\n", "thetas.plot(ax=ax)\n", "ax.set_ylim(-90,90)\n", "ax.set_title('tracker theta')\n", "\n", "ax=axes[1,1]\n", "tilts.plot(ax=ax)\n", "ax.set_title('surface tilt')\n", "ax.set_ylim(0,90)\n", "\n", "ax=axes[1,0]\n", "azis.plot(ax=ax)\n", "ax.set_title('surface azimuth')\n", "ax.set_ylim(0,360)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This discussion of the ``axis_azimuth`` parameter assumes ``axis_tilt=0`` and no backtracking.\n", "\n", "Say that your ``axis_azimuth=90 or 270``. Your ``surface_azimuth`` has no choice but to point to North (0), or South (180). Near the equinox, the solar azimuth is very nearly 90 at sunrise and sunset, so the ``surface_tilt`` is going to be poorly defined until the sun is a bit above the horizon. At midday, the ``surface_azimuth`` should definitely point South (180), ``surface_tilt`` will very nearly equal the latitude, and AOI should be nearly 0.\n", "\n", "Next, let's study the ``axis_azimuth=135`` case. This corresponds to a tracker oriented from SSE-NNW. At sunrise, on the equinox, the tracker is going to point East of North by 45 degrees. Sometime before solar noon, the panels should lay flat, and then point West of South by 45 degrees, or East of North by 225." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Test the southern hemispere." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tracker_data = pvlib.tracking.singleaxis(ephem_joh['apparent_zenith'], ephem_joh['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Test different seasons." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-100, 100)" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = pd.date_range(start=datetime.datetime(2014,3,23), end=datetime.datetime(2014,3,24), freq='5Min')\n", "\n", "ephem_tus = pvlib.solarposition.get_solarposition(times.tz_localize(tus.tz), tus.latitude, tus.longitude)\n", "ephem_joh = pvlib.solarposition.get_solarposition(times.tz_localize(johannesburg.tz),\n", " johannesburg.latitude, johannesburg.longitude)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_tus['apparent_zenith'], ephem_tus['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data.plot()\n", "plt.title('Tucson, March')\n", "plt.ylim(-100,100)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_joh['apparent_zenith'], ephem_joh['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data.plot()\n", "plt.title('Johannesburg, March')\n", "plt.ylim(-100,100)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-100, 100)" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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2Dc9K16ap8H8QfBqXeDwlSSWEgmj5DDi4am0JBeScFE9ORS+ThVSjQQB9f/uGnLnfcb1SdXx/nseBTt3ZOX8phiL0ilKU0ijtxAmuPvkU4WPGQE4OVb6YQ42ffsSpWTOTXdMuIACAjIshBTvg718gJcbiSwegEkLB2LtA6+e1MQkFWC8hPTUt30FpJaVhYBuCNv3Ojamfkm1rR6WZ77I1sA/Bq7eb/NqKopfMsDAixo0j9LFBZISEUGnKZGquXUP5bt0K3XOosOwDagGQcbEA7QiGHNg3Byo3A79OJo2rJKiEUFBtRoOtU4HWXg49dg4ApxqF73JaFFZWVrQf+jCdd20i/PnxOCfdoNyEl1jXZxjnDx43SwyKYg7ZN24Q/dFHhPTqTdKOP/B4YTT+WzbjPmwYwtbWLDHYeHliVb48GRcLsPDV2XUQH6J1TrGQGU3vRSWEgirnAU2Hw8nfIfneC91c2X0AAL9Obc0R2T9sbG3o9tozNNu1jZABT+Nz5QyZTw1l9RMvce1SmFljUZSSZMjI4Po33xDSvQfxS37EtV9f/DdvxmvsWKydnc0aixAC+4CA/EsIUsLeWeDmB/X6mie4YlIJoTBaj4KcTDjy3T13Sz92lER7Z3wb69O9zMmlHH0+mkCNjZsI6dgbv+CdRD3ch7Xj3iU54aYuMSlKUdyaauJSr97ETJ+BY/Nm+K1aSeX338e2kuna6PJjHxBA5oV8ehpd2Q+RR6H9yxaxGlpBmGuBnFDjYjjHhBDBxm3uQoitQogLxue7zyhlKTxraz0Fghdpa6HeRYVLZ4mtUQcrK33zbcWqlei38DPK/7qCsDrNCNiwlOMP9mDbLLU4j2L50o4f1xapeW0cVs7OVF+8iOrz5+NQW/9+/PYBAeQkJpITF3f3nQ4vBIcK0GSo+QIrJnN+YwVKKZtKKVsa3/8P2C6lrAVsN763fG1GQ1IUnFmT58fRoZF43YzFqqHldC/zbVybviu+I/3zeSS7uFFl3qfsCOzF4dXb9A5NUe6QFRFBxOtvEDp4CJnh4fi8/x5+K5ZTrn17vUP7h31trWE5/exdOpkkXYMza7WZk+2czBhZ8eh5C9sP+N74+nugv46xFFxAN61O8OCCPD8+t0Nbc7XyA5azCtItzXp15qHta4l6aSKOqUk4T3iZtf2e4NKx/HtOKYqp5SQnE/P5TEJ69iJp2zatwXiTcZGaIk41YSqOjRsjbG1J+fNA3jsc+R4M2VqX9VLEXAlBAluEEEeEEKOM2yrdWjbT+KxfhWBhWFlpbQlhByDyrzs+Tjh8hCwra+p0aqVDcPmztrHmwZeepPnOrYT0fYIqISdIHjqQ1aPe5MY1tQaDYn63RhiH9Aji+oIFuAT1wH/TRmODcTm9w8uTlZMTji1akLJv350f5mTBkW/Bvyt4+Js/uGIwV0LoIKVsDvQEXhRCFLhDrhBilBAiWAgRHBt77949ZtNsONiWy7OUYHf2JJFevjg5W3Yx0cmlHH0+fYvKa9dxuUVnAnav40J3bcRzZnqG3uEp94nkvfu4POARbYSxry++vy2jyqefYuuT/zoieivXoT0Z586RFRNz+wfnNmrVyq1G6hNYMZglIUgpI43PMcBKoDUQLYTwATA+x9zl2AVSypZSypaenncuR6kLB1doOvSOLqjxUbFUvXaJzIZNdQyucLz9qtLvx68QC38gztsX35/nsa9zD/b+sFKNeFZMJuPiRa6OGkXYyJEY0tOpMns2NX5cgmOjRnqHVmDOHToAkLJ//+0fHP4GXKtB7R46RFU8Jk8IQohyQgiXW6+B7sBJYA3wlHG3p4DVpo6lRLV6TuuCenzpP5uOLluHtTRQo19PHQMrmvodWxK06TfiJ30EgMeHb7Ep6DFO7wnWOTKlLMmOjyfqnXe41K8/aX8dw+vNN6m5fh3le3Q3+QjjkmZfty7WHh6k7MuVEGLPa/OetXi61HQ1zc0cJYRKwF4hxHHgELBeSrkJ+BjoJoS4AHQzvi89vOpC1dbw15J/1kpI27GDG46uNAw074C0kmJlZUWHx/vTYddmQoe/QMVrocjnnmT18DFcuxyud3hKKWbIzPxnYFnCst9wGzIE/y2b8XhmBFZ2dnqHVyTCyopy7duTsm8f8lZpOngxWNlC8yf1Da6ITJ4QpJSXpJRNjI8GUsoPjNuvSym7SilrGZ9L3xzOzZ+AuPMQdoiUxGSqXTxObJO2WNuUvjuD3Owc7Ok5+RVqbdmiTbV9dDeRD/dm3YSPSE1O1Ts8pRTRZiLdwaU+DxMzfQZOLVpQc81qvCdPuudi9qWFc+fO5MTHk3b0qDar6fGfoX5fcC4dfWT+S41ULo4GA7TG5b+WcGT5JuxzsvDuHaR3VCXGzduDfvM/weWX5UT4N8Z/9Q8EB/Zg9+LfVfuCkq+MixcJe3Yk4WNeRNjaUm3hQqrNn4e9f+nqeXMvLoFdEI6OJK5bB+c3QnqiNsVNKaUSQnHYu2hJ4eQKbm7aQLKdE80eDtQ7qhLn16QOD69ews33Z5JtY4fnp5PZFPQY5w4c0zs0xQLlJCZy7YMPtXaCkyep9NZb1Fy1EueOD+gdWomzKlcOl8BAkjZtRh5dCi4+ULOL3mEVmUoIxdV0KDmpqVQ/dYjIxm2xc7DXOyKTaTMwiI47NxI6/AU8r4WSNWI4q595jfgoC+kOrOhKZmdzY+lSQnoEceOnn6jw2ED8N23E/cknzDYTqR7K9+lDTkICKXt3Q+NBpbIx+RaVEIqrenviorywzcmh+hND9I7G5Gzt7eg5+RVqbtxISJtu+O/fzMWgnmz68CuyMjL1Dk/RScqBg1x+dCDX3nkX+1q18FuxHJ9p00p06UpL5fxAB6zK2ZMYal+q5i3Ki0oIxWVlRcQFV+zKZ9OkQz29ozEbjype9PtuFtbfLCHOsxo1fviSXQ/25vDKrXqHpphRZng44a+M5erTT2NISqLK7NlU/+F7HOrW1Ts0sxF2dpQPsCYpwokc+8p6h1MsKiEU04VDf+MYm0yFmilYnV2rdzhmV++BFgRtWU7M69OwT0/FeeIrrBnwFFdOFWA1KaXUMqSmEjNrFpd69SZ5zx48x75CzQ3rS+V4gmJLuIqbdygyGxJXrdI7mmJRCaGYTi9cQrawolwTbzi5XO9wdGFlZUXn5wbTYucWLvYZRvXzf3HjsQGsHTtVrb9QxkgpSVy7lpCevbg+bz4uPXrgv3EDFV94ASsHB73D08fp1Ti4ZePYsC43fl7675iEUkglhGJIjLtB1T+3crlhOxzaPAJX9kHK/TtBnJNLOR6ePpmKK1ZztX5rAjYv4/iDPdjx1RLVTbUMSD9zhivDHydy/JvYeHpS4+efqfLZp9h6e+sdmr5Orwbvxrg9OYLMK1dIPXCXGVBLAZUQimHfnMU4ZWfgN/pZqNMLpAEubNY7LN1VreNH398XkTr9a1LLlcfniw/Z1P1R1U21lMpJTOTau+9x+dGBZF6+jM/77+G77FecmjfTOzT9JYZD+GFo0B+XHj2wdnMjfsmPekdVZCohFFF2VjYuG1ZypXItGnVtB5WbgUtlOLte79AsRos+gQTuWM+VJ1/GM+aq1k111HgS427oHZpSANJgIGH5ckJ69uLGL7/gNnQo/ps2ausT6LwaoMU4Y2w3rN8fK3t73IYNI/mPP8i4cEHfuIpI/a8W0Z5Fy6iYfB3HYcZRiUJAnZ4QsgOy0vQNzoLY2NoQ9NYY/DZsIKRlIAG713O6WxDb53ynqpEsWNrJU4QOHUrU25Ow8/XFb/nveE+ehLWrq96hWZYLW8Gj1j/rHrg9Phzh6Mj1RYt1DqxoVEIogpzsHAw/LOZaBW86PPXovx/U7QVZqXBpl37BWaiKVSvRb8mX5Hz5DUku7lT++hM2dxvAmb1H9A5NySX7xg2ipk4j9LHHyIqIpPInH1Pjpx9xqHf/dKkusMxUCN0Ltbr9s8nGzY0KAweSuG4dWZGROgZXNCohFMHe71dQOT4Cw/AR2Nja/PuBbyewc9HmNFHy1Pih9nTdsY6rI8biERdBznNPsvrZ17kRc/82xlsCmZPDjV+XcSmoJwm//477k0/gv3EDrv363X/dSAsqdC/kZEDAQ7dt9hjxNADXv1mkQ1DFoxJCIRkMBjK/+4aY8p50GvWfkck2duD7AFzeo09wpYS1jTU9JowmYNNGQlp3JWDfRs5178nWmYvJyc7RO7z7Ttrx44QOHsK1qVOxr10bv5UrqDRxItYuLnqHZtkubgVbJ6jR4bbNtpUrU+GRR7jx229kRUToFFzRqIRQSHsW/UbV2KtkDnkKW/s85nH3fQDiQ+Bm6Ssumpu7jyf9vp+D4etvSXT1pOr8z9jarT+ndh/WO7T7QnZ8PJGTJhE6eAjZMTFUnj5dG2Vcu7beoZUOF7aCb0ewvXP8RcUXRiOAuHnzzB9XMaiEUAhZGZkYvplLlJsPgS8/lfdOvsYZHUPzWHxbyVOjB9vw0PY1hD/3Om7xUchRT7F6xKvcuKaqkUxB5uRok9AF9SRx1Wrcn32Gmhs24Nqnt6oeKqjrIXDj8m3tB7nZ+vhQYdAgElasJDM01LyxFYM5ltCsJoT4QwhxRghxSggx1rh9mhAiQghxzPjoZepYiuuP2d/inRiNzXNjbm87yM27Edi7QqiqNioMaxtrur0+ktqbNxPSvgf+f27hXI8gts36VvVGKkFpJ09p1UPvvItDg/rUXL2KSuPHY+1cTu/QSpcrxmUz/TrddZeKo5/Hyt6e6OnTzRRU8ZmjhJANvC6lrAe0BV4UQtQ3fjZTStnU+NhghliKLOnGTZyXfstV75o88PQjd9/RyhpqtNManJRCc/P2oN/imYgF35Po5kWVeZ+yufsjnD94XO/QSrWcpCSuvfc+oYMGkRV9jcozplN98eIytViNWYUfAocKWpfTu7Dx9MRj1CiSt20n5cBBMwZXdOZYQjNKSnnU+DoJOANUMfV1S9ofkz7BLS0Rr4n/wyq/QTmqHaHYGnRqxUPb1nB1xFgqxoSR8fQw1rz4NimJyXqHVqpIKUlct56QXr24sXQpbsOG4b9hA669VfVQsYQdhqqtIJ/vAvenn8K2cmWiP/4YmWP5HSbM2oYghPAFmgG30uVLQoi/hRCLhRB5LrAqhBglhAgWQgTHxuqzEEvIX2fw/WM155t2olmPjvkfoNoRSsSt3kg11q3jUpMHqLV9BUe7BrH3h5V6h1YqZFy+zNVnniHyjTew9fbBd9kyvCe9rXoPFVdaAsSehWqt893VysEBr/FvkHH2LAkrVpghuOIxW0IQQjgDy4FXpZQ3gbmAP9AUiAJm5HWclHKBlLKllLKlp6enucK9zZlJ75JlZUObDycV7ADvxmBfXrUjlBCv6j70+2U+KZ98SZatHR4fvsXavo8TdvaS3qFZJEN6OrFz5nC5bz/ST56i0pTJ+P6yFMeGDfQOrWyICAZkgRICgEtQEI7NmxM7ew45yZZdwjVLQhBC2KIlg5+klCsApJTRUsocKaUBWAgU7F/XzPb9uAb/kGNc6z8c75rVCnaQlTXUaK/aEUpYy35d6bBjAyH9n6RayN/EDhzA+kmfkZmeoXdoFiN5zx4u9e1H3NdzcQkKwn/DetyHDUNYl95lHS1O2GEQVlClRYF2F0JQaeJEcuLiuD5/vomDKx5z9DISwCLgjJTy81zbfXLtNgA4aepYCis9NY2sOTO45lqJh95+uXAH/9OOEGWa4O5T9o4O9Pl4Im7LVhBZoz41f1/Mngd7c3T9Tr1D01VWdDThY18l7LlRCGtrqn/3LVU++xQbnUrVZVr4IfCqD/YFr3pzbNQQ1wEDuP7d9xY98Z05SggdgCeAB//TxfRTIcQJIcTfQCDwmhliKZRt02ZS6WYM9q++jr1jIRf/uNWOcEW1I5hCjQYB9Fr7E7Fvvod9RiqOr7/A6uFjuB4Ro3doZiWzs7n+3Xdc6tmL5J078Xx1LH6rV1GubVu9QyubsjMhPFhrUC4kr/FvYF2uHFFTplrsIjrm6GW0V0oppJSNc3cxlVI+IaVsZNzeV0ppUbfSF4+cpNq6pVyo15r2Qx8u/AlUO4LJWVlZ0emZgTTZtokLgf3xP7qLkF692Drjm/tiCowIxAWjAAAgAElEQVS0Y8e4PPAxYj7+BMeWLai5bi0VR4/Gyi6PEfRKyTjyLWTchPp9C32ojbs7Xv+bQNpff5GwbJkJgis+NVI5DznZOVwc/xaZNna0/vyDop1EtSOYjYtbefrO/QjrRUuId/eh6sIZbO0+gLP7y+aCPDmJiURNmUro0GHk3LhBldmzqTZ/PnbVCtjGpRRNRhLs+lSbrqJmYJFO4dqvH07t2hIzfQZZ0ZZXmlUJIQ9bP51HjcgLJDz1At5+VYt+It8H4PpF2DMDblwpuQCVPNVr35xuW1cRPnIc7tcjyXp2OGtefJvUpBS9QysRUkpubthASO8+xhlJn6Tm+vt0YXtzy0iC7e9Bahw8NE1b/6QIhBD4TJuGzMoi+oMi3myakJBS6h1DgbVs2VIGBweb9Brh5y4T8+gAoqoE0HPjsvwHod1LUjQsewLCjMMuqrSABo9AgwHgWurG5pUqceHR7Bs/ldp/7SLWpSJ24yfSdpDFz45yV5nhEVx79x1Sdu/BoUEDvN99B8cGqhupSWWmwoUtcHK59pydDo0HwyMLin3quHnziZ01i6pffoHLQw/lf0AxCSGOSClb5rufSgj/MhgMbHh4GFVCz+D+6+/UaHj3YemFciMUTq2Ekyvg2t/aturttORQvx+4VCqZ6yh3OLRiC6kff0ClmzFcaNSBtjPew6u6T/4HWgiZnU38D0uI/eILEAKvsa/gNnw4wuYuc2kpxZOdARe3w6kVcHYDZKVAOS9o0F/7e63WJt/RyQUhMzO5PGgw2bGx1Fy3Fhu3PMfllhiVEIpg64xvqLpwBpcHjaTXu6+b5iJxF7VftpMrIPaM1p+5Rgdo+AjU6wflPExz3ftYanIq29/+hBpblpNua0/ik6PpOu7Z4pX+zCDtxEmipk4h4/QZnLt0wXvKZGwrV9Y7rLInJ0tb5fDUCjizDjISwdEN6vWFho9qVb9WJT+OI/3cOS4PfAyXBx+kyqyZJq32UwmhkK6cukjc4IHEePvSfdNyrG3MMJAn5oyWGE6t0NoahDXU7KzdidTro/1SKiXm/MHjXJo4mRqRFwitWodan7xPQIuGeod1h5zkFGLnzObGjz9h4+FBpbffxkW1E5Ss7Ey4vBvOrNaSQFq81iuwbh/t5qxmF7C2NXkYcfMXEDtzJpVnTMe1d2+TXUclhELIzspma9CjeEVfwXPZcqrXN/MMkFLCtRP/lhwSroCVrfZLWe9hqNsbylU0b0xlVE52DttmLMT9xwXY52RyJWgQ3d4fj4OTo96hAZC04w+uvfce2deuUWHIYLzGjVNzD5WUrHQI2QFn1sC5DZCeCHbOULuHVhLw75rnYjemJLOzCR0+nMzQK9RcuwZbLy+TXEclhELYMGk6fr8vInzUG3Qb92yJn79QpITIo1piOLMGEq7+W610Kzm4FqPnkwLAtcvhHBo/hVon/+RaBW9cJk6iZb+uusWTFR1D9AcfkLRlC/a1AvB+512cmjfTLZ4yIzNFaxA+vUZ7zkwGB1eo01sbS1Az0OxJ4L8yLl3m8oABOLVtQ7V580xSElQJoYDO7j9G5sjHuRLQlN6rfrCseuVbJYcza7XkEHtW216lhZYc6vUFDzWffXHsX7qWnBmfUDH5OudbBNJx+ju4+5hvugdpMJDw66/EzPgcmZlJxTFj8HhmBEINLiu69EQ4vxlOr4aL27TeQU4VtZup+n3Bt5O2/rkFif9hCdEffkilyZNwHz68xM+vEkIBpCal8GePfpRLvYn/2tV4VrPw3iex5+HsWi1BRP6lbfOq/29yqNSgyP2j72fJCTfZMfEjau5cQ4q9I1lPPE77YQ9ilZmi3VFmpkBO5r+P7FyvDdmA0P7dhdBKcxifhRXY2IONA9g63vGcHhHPtekLSDtxCqd2bfGZNg27GjX0/uconW5GwflNWlXQpZ3a/42zt5YA6vXVevVZW27PLCklYc8/T+qBg/j+9hsOdUp2XWuVEApg9dNjqX1gCzemflq06Sn0lBAGZ9dpyeHKfkCCmy/U7gl1gqB6e4u7CzI7gwFSYuFmuLZYUXI0pFzXBhelxBmfje/TEkiPyyHqcAXS4+0o552Od8tE7JxLfgoMQzbEnXLh+llnrG0NeDW7iau/AeFUQavOcHDV7midPcG5kvYod+u1F7j4gJ1TicdVqkgJ0afg3EYtCUQe1bZXqPHvDVIBFrCxJNnXr3OpX39s3Crg+9tvWDmUXFWWSgj52LXwV7xmTONCYH/6zv2oRM6pm+QY7Y/i7Hqt+1xOhtZjwv9BqB0EtbqXze6sOdnal338ZW3B8/jLcDMCEiO0BJAUabyD/w97V+3fw6mi1ljv5KH16LIvT46NE3+t+AvbzQcRUhLfvRvtxz2FnZOL1uvE2s74ML62Mt51SoP2JSUNgDS+ztFKE9lpWoNmdhopB48QNWsxWVGxuHZuhtfgdtjYZmrVHGkJ2nN6gpaoUmK0hCbzmAjNyUNrS3KtBhWqa8+uVcGtBrj7g72zSf/pdZGdqU0WeW6j9ki8Cgio2hLq9IQ6vcCzbqkuJSfv3UfYyJG4DRuK95QpJXZelRDu4erpEKIHP0a8uzddNq0o/EymliwzRUsK5zdq9ajJ0YDQFvOoHaQ9vOqVrj+alDiti27sWYg9B/GXtASQcPX2L3xrO+1LsXwVKF/Z+KhifPhoVQhOHgUqOUWcD+XoG5MIOH+ECI+qVJwylaY9Hijyj5AdH0/MJ5+QuHoNtjWq4zNtGuXatcv/QEMOpF7Xkn5ytPacFKmVEBPD/n3OSr39OGdvrX3Jwx88ArQkUbEWuNc0S3fKEpMcq/UMOr9Jaw/IuAk2juAfqCWBWj3K3MDO6E8+Jf7bb0t0FLNKCHeRmZ7Bjp4D8YwLx+OnX/FtXLJ1dRbFYICoY1piOL8RoowL1Veorv0h+T8Ifh0LNa+7SaXEQcxp7Us/5oz2HHtG+0K8xb689qXm7gdufrc/u1Qu8SqC3Yt/x/rLGVRITeRi+x50+XQKrhULPj5ESkniqtXEfPIJOcnJeIx8VpuRtASrA5AS0m5oCfJGqLYOx/VL2tiW6xe1KrFbrO2gYm2t7alSffBqoD2Xr2IZNwk52RB+WPvyv7hN+/0Frbqsdg+tFODXuUxXmcnMTEKHDSfzyhX8fv+tRNqVVEK4i9Uj36D23vVcGzuJwBdKvjXfot2MNCaHTdqgnKxUrcqjWhstOfg/CD5NTV/vKiUkRWkJKvKY9hx1XLvzvcXeFbzqgmcd8KxnfF1Xqz838xfXzfhE/hj/DgH7NpHg5Er2y2/QecSj+R6XGRpK1LR3SD1wAMdmzfB59x3sa5XQdCiFkZagJYm4C1rCjT6tPd+M+HcfB1djkmgAlZtpj4p1zNMQmxiuTRdxcZtWus1I1AZpVmsNAV0h4CHwblKq2gOKKzM8gtBHH8XG2xvfX5Zi5Vi8cTKlIiEIIYKA2YA18I2U8uN77V/chLB9zndU/voTzj/Qm37fTC/yecqE7Axt0r2L27Ui+a05lhzdteK4f1ftuXwJTJWQFK2tMhV5TLvjizqu1Y0DILQ7Vp8m2qNSfS0BuHhbxh1rLse37CNu2lQqx0dwvk4rWn7+PlX8q9+xn8zM5PqiRcTNnYewt8fr9XFUGDQIYWlfaGk3tJJY9CktQcScgWsnITNJ+9zWSVvXo0pzY5JorpXOivtzZKbA1T8h5A/t9y/2jLa9fJV/E4BfZ3CsULzrlHLJe/YQNup5XPv1w+ejD4s1PsHiE4IQwho4D3QDwoHDwFAp5em7HVOchHBy5yGyXxxJlE9Nuq77FTsH+yKdp8xKjoVLf2jJIWSHse0B7a7Rr7NWtVSjff7TaeRka18uYQch7JD2nGCc+ltYa+0Xt778fZpqd6SlqAE0Mz2DrdM+p+qan8mytiFmyEi6TxiNjXGqk9SjR4maMoXMiyG4BAVR6a2JJht9ahIGg1aaiDiqdW2OPApRf2sN46CV3Co31UqV1dtoPXkcXO99zqx0rRoodI9WMg0PBkOWVn1Vo72WAAIeKvUNwqYQ+8WXxH31Fd7vvIPb4EFFPk9pSAjtgGlSyh7G9xMBpJR37fJT1IRwPSKG0/0ewcqQQ8CK5VTyVROE3dOtLn0hxtLD1QPa4B4EeDcCv07ahF812mv7hgcbE8BBiDii9d0Hrd63Whvjo7V2rK1lTBFRXKHHznLmzbfwvXqGUJ8Aajw5jPJ/HyJp4yZsfHzwnjIZl8CiLaJicXKytQb9WwkiPBiiTxp7PwntpqG68f+5cjNtnEVytPblf3m39nuRna6Ny/Bpqv3++HWC6m3BrpzeP51FkwYDYc+PJvXAAXyX/45D7aK1eZaGhDAQCJJSjjS+fwJoI6V86W7HFCUhGAwGNvYaTLWrZ5Cz59OkW4dixX1fys7Qvugv79Hu8sIOaV1bhdW/XSKFNXg31L4UqrbWEkCF6mX6js9gMLBrzneUW/wVLpmpZJRzwXPgo/i88hJW5cr4F11GkvFG4BCEHYCww/9WNeVWqeG/CaBG+/xLE8odsm/c4Mavv1Jx5MgiT3te0ISg59C9vL4p7shOQohRwCiA6tXvrK/Nj5WVFeUGPEJ0SirdVDIoGht77Y+5RntgglYFEBEMofu0+uRqbbT65VJU9VMSrKysCHz1GeIH9eGbZXuYF2lLFWtn3o9IpXPtMp4Q7F2MbU3GUpAhx9hgfUp7be+i/b6oSRmL7UQSTMtpxNfJWVSpYNqv7PuiykhRzOHPkOu8vfIEl+JS6Ne0MpP71Keis2qrUoruenIGfb7Yi421YN1LHXF1KtoYkoKWEPTs9nAYqCWE8BNC2AFDgDU6xqMoxdLO34MNYzvyStdabDgRRdcZu1h2OIzS1LVbsRw5BsnYX45xPSWTucNbFDkZFIZuCUFKmQ28BGwGzgDLpJSn9IpHUUqCg60147rVZsMrHaldyZk3l//N0IUHCIlN1js0pZSZufU8ey/G8X6/hjSsYp62l/tuYJqimIvBIPk1OIwPN5whI8vAi4EBjO5SE3tzrManlGrbz0Tz7PfBDGlVjY8fbVzs85WGKiNFKdOsrARDW1dn++ud6d6gEjO3naf3nL0cDo3XOzTFgkUkpPHar8doWKU80/o2MOu1VUJQFBPzcnHgy2HN+fbpVqRl5vDYvD+ZuOIEialZeoemWJjsHAOv/vIXBglfDWuOg615S5MqISiKmQTW9WLruE4819GPXw9fpevnu1h7PFI1Oiv/+OqPEA6H3uC9/g2o4WH+rssqISiKGTnZ2fB27/qseekBfFwdeHnpXzzz3WHCb6Tmf7BSpgWHxjN7+3kGNKvCgGb6rJuuEoKi6KBhFVdWjmnPpN71OHg5nm6f7+abPZfIzsljMRylzEtMy2LsL8eo6ubEu/3M226Qm0oIiqITG2srRnasyZbXOtHO34P315+h/9f7OBGeqHdoiplNWX2S6JvpzB7SFBcH/RYwUglBUXRW1c2JRU+15KthzYm+mUG/r/by3rrTpGTksfynUuZsOBHF6mORvPRgAM2qF3zxJVNQCUFRLIAQgt6Nfdg2rjNDWldn0d7LdJ+5mx1no/UOTTGh2KQMJq06SaMqrrwYGKB3OCohKIolcXW05cMBjfhtdDuc7Kx55rtgXvzpKDE30/UOTSlhUkreXnmC5IxsZgxqgq21/l/H+kegKModWvm6s/6VjrzerTZbz0TT9fNd/HTwCgaD6qJaVqz8K4Itp6N5o3ttaleyjHXNVUJQFAtlZ2PFy11rsWlsRxpULs/bK08yaP6fnI/OY90BpVSJvpnO1DWnaFnDjWcfqKl3OP9QCUFRLFxNT2eWPteWzwY25mJsMr3n7GHGlnOkZ+XoHZpSRNPWnCIz28BnjzXB2spyFpFSCUFRSgEhBI+1rMb2cZ3p07gyX+y4SM/Ze9gfEqd3aEohbT0dzcaT13ilay38KlrWQkoqIShKKeLhbM/MwU1Z8mxrcgySYQsPMm7ZMeKSM/QOTSmA5Ixspqw+SZ1KLozqZDlVRbeohKAopVDHWp5sfrUTY7r4s/Z4JF1nqEbn0mD65nNcu5nOh480soheRf9leREpilIgjnbWvBlUl41jO1LPx4W3V55kwNz9nIxQI50t0bGwBL7/M5Qn2tagRQ19B6DdjUkTghDiMyHEWSHE30KIlUKICsbtvkKINCHEMeNjninjUJSyLMDLhaXPtWXm4CZE3Eil75d7mbbmFDfT1fTalsJgkExadQIvF3vG96ijdzh3ZeoSwlagoZSyMXAemJjrsxApZVPjY7SJ41CUMk0IwYBmVdk+rgvD29Tg+z9DeWjGLtao6bUtwvKj4ZyMuMlbverpOldRfkyaEKSUW4xrJwMcAPSZ01VR7hOuTra8178hq8Z0oFJ5B15Z+hdPLDrEJbWms25SMrL5dPM5mlWvQN8mlfUO557M2YbwDLAx13s/IcRfQohdQoiOdztICDFKCBEshAiOjY01fZSKUgY0qVaBVS924N1+DTgelkDQrD18rsYu6GLuzhBikzKY3Kc+QljOmIO8iOIWJ4UQ2wDvPD56W0q52rjP20BL4BEppRRC2APOUsrrQogWwCqggZTy5r2u1bJlSxkcHFyseBXlfhOTlM4H68+w+lgk1d2deKdfAwLreOkd1n0h/EYqXWfsIqihN7OHNNMtDiHEESlly/z2synuhaSUD+UTyFNAH6CrNGYfKWUGkGF8fUQIEQLUBtS3vaKUMC8XB2YPacbgltWYtPokI749TM+G3kx5uD4+ro56h1emfbLpHELAhKC6eodSIMVOCPcihAgCJgCdpZSpubZ7AvFSyhwhRE2gFnCpKNfIysoiPDyc9HQ1G2RZ4eDgQNWqVbG1tdzGt9KofUBFNo7tyMLdl/hix0V2n4/ltW61eaq9r0X2iS/tjl69wdrjkbzStRaVK5SOxFvsKqN7nlyIi4A9cN246YCUcrQQ4lHgXSAbyAGmSinX5ne+vKqMLl++jIuLCx4eHhZfP6fkT0rJ9evXSUpKws/PT+9wyqyw+FSmrjnFjrMx1KnkwrS+DWjn76F3WGXK8G8OcDYqid1vBlLO3qT33vkyW5XRvUgp81zxQUq5HFheEtdIT0/H19dXJYMyQgiBh4cHqgOBaVVz11Zp23I6mvfWnWbowgM83KQyb/Wqq6qRSsCBS9fZd/E6k3rX0z0ZFEaZKCeqZFC2qP9P8xBC0KOBN9vGdWZs11psPnWNrjN2MXdnCJnZBr3DK7WklHy+5TxeLvY83raG3uEUSplICIqiFJ2DrTWvdavNttc60yGgIp9sOkvQrN3sOq9KaUVx6HI8h0LjGdPFHwdba73DKRSVEIopISGBr7/+ukTONW3aNKZPn14i57pl586d7N+//5/3Tz/9NL///nuBjy/Jn0+xbNU9nFj4ZEu+HdEKCTy1+BCjfggmLD4132OVf83dFYJHOTuGtK6udyiFphJCMd3tCzMnx7wDgLKzs/Pc/t+EUFgqIdx/Aut4senVjrwZVIc9F+J46PNdzN52QQ1qK4AzUTfZeS6WER18S13pAFRCKLb//e9/hISE0LRpU1q1akVgYCDDhg2jUaNGAPTv358WLVrQoEEDFixY8M9xmzZtonnz5jRp0oSuXbvecd6FCxfSs2dP0tLSCAkJISgoiBYtWtCxY0fOnj0LaHf748aNIzAwkAkTJtxxjtDQUObNm8fMmTNp2rQpe/bsAWD37t20b9+emjVr3lZa+Oyzz2jVqhWNGzdm6tSpd/x848ePJzk5ma5du9K8eXMaNWrE6tWrS+4fU7EY9jbWjOkSwPbXO9OtfiVmbjtPt5m72Ho6Ws2NdA/zdoVQzs6aJ9r66h1KkZSe5u8CeGftKU5H3nOwc6HVr1yeqQ83uOvnH3/8MSdPnuTYsWPs3LmT3r17c/LkyX+6TC5evBh3d3fS0tJo1aoVjz76KAaDgeeee47du3fj5+dHfHz8bef88ssv2bJlC6tWrcLe3p5Ro0Yxb948atWqxcGDBxkzZgw7duwA4Pz582zbtg1r6zvvRnx9fRk9ejTOzs688cYbACxatIioqCj27t3L2bNn6du3LwMHDmTLli1cuHCBQ4cOIaWkb9++7N69+7afD7SSyMqVKylfvjxxcXG0bduWvn37qobgMqpyBUe+HNacYW3imLr6FM/9EEyXOp5MfbiBxa32pbeYm+ms/zuKJ9v54upUOsfQlKmEYAlat259W//5OXPmsHLlSgDCwsK4cOECsbGxdOrU6Z/93N3d/9l/yZIlVK1alVWrVmFra0tycjL79+/nscce+2efjIx/V8d67LHH8kwG99K/f3+srKyoX78+0dHRAGzZsoUtW7bQrJk2vD45OZkLFy5Qvfrt9aBSSt566y12796NlZUVERERREdH4+2d1+wlSlnR3r8iG8Z25Pv9oczadoEeM3fzbEc/XgwMwLkUdas0pV8Oh5FtkDzRrnT1LMqtTP1P3utO3lzKlfv3rmnnzp1s27aNP//8EycnJ7p06UJ6ejpSyrveUTds2JBjx44RHh6On58fBoOBChUq/HOHfq/rFZS9vf0/r28V/6WUTJw4keeff/62fUNDQ297/9NPPxEbG8uRI0ewtbXF19dXjRK/T9haWzGyY036Nq3MxxvPMndnCMuPhDMhqC4DmlXByoIWize37BwDSw9dpWOtiqW65KTaEIrJxcWFpKSkPD9LTEzEzc0NJycnzp49y4EDBwBo164du3bt4vLlywC3VRk1a9aM+fPn07dvXyIjIylfvjx+fn789ttvgPbFffz48RKJL7cePXqwePFikpO1aZIjIiKIiYm54/jExES8vLywtbXljz/+4MqVKwWORSkbvFwc+HxQU1aOaY9PBUde/+04A+bu5+jVG3qHppvtZ2OISkwvdeMO/kslhGLy8PCgQ4cONGzYkPHjx9/2WVBQENnZ2TRu3JjJkyfTtm1bADw9PVmwYAGPPPIITZo0YfDgwbcd98ADDzB9+nR69+5NXFwcP/30E4sWLaJJkyY0aNCgUA25Dz/8MCtXrrytUTkv3bt3Z9iwYbRr145GjRoxcOBAkpKS7vj5hg8fTnBwMC1btuSnn36ibt3SMWmXUvKaVXdj5Qvt+XxQE6IS0njk6/289usxriXefyXGXw5dxbu8A13rlu5ZZE06l1FJy2suozNnzlCvXj2dIlJMRf2/li4pGdl8vfMiC/dcxloIxnTx57lONUtl18vCup6cQesPt/Ncx5r8r6dl3iAVdC4jVUJQFKXYytnbML5HXbaP60yXOp7M2HqerjN2seFEVJnvprrh5DVyDNLiV0MrCJUQyohvv/2Wpk2b3vZ48cUX9Q5Luc9Uc3di7uMt+Pm5Nrg42DDmp6MMWXCAU5GJeodmMmuORVDLy5l6Pi56h1JsZaqX0f1sxIgRjBgxQu8wFAXQuqmue/kBfjkcxowt5+jzxV6GtKrOG91r4+Fsn/8JSomIhDQOh97gje61y8RYHFVCUBTFJGysrXi8bQ12vhHIiPZ+/BYcRpfpO/lmz6UyM5vqxhNRADxcBqqLwMQJQQgxTQgRIYQ4Znz0yvXZRCHERSHEOSFED1PGoSiKflydbJnycH02vdqRZtXdeH/9GbrP3MWmk9dKffvCrvOx1PJypoZH6R17kJs5SggzpZRNjY8NAEKI+sAQoAEQBHwthCj73REU5T4W4OXC9yNa8e2IVthaWzH6xyMMnn+Av8MT9A6tSNKzcjh4OZ6OtTz1DqXE6FVl1A/4RUqZIaW8DFwEWusUi1n16tWLhITS+QegKMUlhCCwjhcbx3bk/f4NCYlNpu+X+xj36zEiE9L0Dq9QDl6OJzPbQKfaFfUOpcSYIyG8JIT4WwixWAjhZtxWBQjLtU+4cVuZt2HDBipUqKB3GIqiq3/aF8Z34YUu/qw7EUXg9J3M2HKO5Iy8p3K3NHvOx2JnbUUbv7KzFnWxE4IQYpsQ4mQej37AXMAfaApEATNuHZbHqfKsTBRCjBJCBAshgi11nd28prheunQpjRo1omHDhrdNTe3r60tcXJxeoSqKRXFxsGVCUF12vN6ZHg28+WLHRbp8tpNfDl0lx2DZ7Qt7LsTRys8NR7uyU9td7G6nUsqHCrKfEGIhsM74NhyoluvjqkDkXc6/AFgA2kjle15k4//g2omChFNw3o2g58f33OW/U1z37t2bCRMmcOTIEdzc3OjevTurVq2if//+JRubopQRVd2cmDO0GSM6+PL++jP8b8UJvtsfytu961lkHX30zXTORSfxSHPLHJlcVKbuZeST6+0A4KTx9RpgiBDCXgjhB9QCDpkyFlOaM2cOTZo0oW3btoSFhfHNN9/QpUsXPD09sbGxYfjw4ezevVvvMBXF4jWr7sbvo9vx9fDmpGRm88SiQ4z49hAXovOfoNGcjoVp7YCt/dzz2bN0MfXAtE+FEE3RqoNCgecBpJSnhBDLgNNANvCilLL46/PlcydvCnlNcd2kSRNCQkLMHouilAVCCHo18qFrPS9+2H+FOTsuEDR7D0NbV+PVh2pT0QIGtt1KULUrlf7RybmZtIQgpXxCStlIStlYStlXShmV67MPpJT+Uso6UsqNpozDlPKa4jotLY1du3YRFxdHTk4OS5cupXPnznqHqiilir2NNc91qsmu8YE83qY6Sw+FEfjZTubuDNF9fefz0clUqeBIuTK2OJAaqVxMeU1x7ePjw0cffURgYCBNmjShefPm9OvXT+9QFaVUci9nxzv9GrL51U60qenOJ5vO0nXGLlYcDcegU8Pz+egkaldy1uXaplS20psO7O3t2bgx7wLOsGHD7tj23xXIFEUpmAAvZ755qhX7Q+L4aMNZxi07zjd7LjOxV12zNjxn5xi4FJtC59qW19hdXKqEoChKqdLevyKrX+zAnKHNSMrI4olFh3hi0UFOR940y/WvxMZ2Yc0AABWGSURBVKeSmWOgVhlrPwCVEBRFKYWsrAR9m1Rm27jOTOpdj7/DE+n9xR7GLTP9iOd/G5TLXpWRSgiKopRa9jbWjOxYk93jAxnVqSbr/o6iy/SdfLzxLIlpWSa55vlobd3xAC+VEBRFUSyOq5MtE3vW4483utCnsQ/zd4fQ+bM/WLT3MhnZJdsj6Xx0EtXcHXGyK3tNsCohKIpSZlSp4Mjng5qy7uUHaFTFlffWneahz3ex5nhkifVIuhCdTG2vstd+ACohKIpSBjWo7MqSZ9vwwzOtcba35ZWlf9H/6338GXK9WOfNyjFwKS6ZgDLYfgAqISiKUoZ1qu3JupcfYMZjTYhLymDowgM8891hzhdxKoyLMclk5Ujq+5Qv4Ugtg0oIOhs6dCiNGzdm5syZeofyjylTprBt27YSOdesWbNITU39572zc9m8s1Isl7WV4NEWVdnxRhf+17Muh0PjCZq1mwm//821xPRCnetkRCKglUDKorLXKlJKZGdnExcXx/79+7ly5Yre4dzm3XffLbFzzZo1i8cffxwnJ6cSO6eiFIWDrTWjO/szuGU1vthxkSUHQll9PIKRD9Tk+c41cXGwzfccpyJv4mRnjV/FsrFk5n+VqYTwyaFPOBt/tkTPWde9LhNaT7jr5ykpKQwaNIjw8HBycnKYPHkyEyZMIDg4mIoVKxIcHMwbb7zBzp07mTZtGpGRkYSGhlKxYkVOnjxJTEwMTZs25YsvvuDs2bMsWLCAzMxMAgICWLJkCU5OTkRHRzN69GguXboEwNy5c2nfvj0//vgjc/7f3rlHV1WdCfz35ZIYHhHxgYKEBBQFY0IoSFAnWkQQlowdKfJQW7OKprrK4HINjEYpVBR0Kh0HLdLBYi0UFQstUMr4qAatoC1JmoSXjFhkSkGxWAnRFAj55o99Ei+YGwLJuefc+P3Wuivn7LPPOb+7c+/Zd+99zrefeILDhw+Tl5fHU089RSTSeGz2u+66i40bN1JTU8PYsWN58MEHKSkp4fbbbwfg6NGjbN68GVWloKCA0aNHM3bsWDIzM7n55pspLi7myJEjLFy4kKKiInbs2MG0adO48847WbduHXPnzmXNGhfdfPLkyQwaNIiqqir27NnD0KFDOfvssykuLgbggQceYM2aNbRv355Vq1Zx7rnntua/zDCapEvHFGb88yUUXJHJY69s58fFO3j+j//HlGF9mDi4JyntYnecbNlzgH7dTieS1NiULomPdRm1kJdeeonu3btTUVHB5s2bGTlyZJP5S0tLWbVqFc899xyrV6/mggsuoLy8nPz8fMaMGcPGjRupqKigX79+LFq0CIApU6Zw9dVXU1FRQVlZGVlZWWzbto1ly5axfv16ysvLiUQiLF26NOZ5Z8+eTUlJCZWVlbzxxhtUVlYyaNAgysvLKS8vZ+TIkUydOrXRfdPT03n77bfJz8+noKCA5cuX88477zBjxowm3+uUKVPo3r07xcXFDZXBZ599xpAhQ6ioqOCqq67i6aefbvIYhuEXPc/qwJMTB7Dqe1dyYddOzFy9heGPv8Gayj2ofvmOpLo6ZeueKi7t3jbHD6CNtRCa+iXvF9nZ2UydOpV7772X0aNHk5+f32T+G264gfbt2ze6bfPmzUyfPp1PP/2U6upqrrvuOgBef/11Fi9eDEAkEqFz584sWbKE0tJSLrvsMgBqamro2rVrzPO++OKLLFy4kNraWvbu3cvWrVvJyclp2FZWVsYrr7wS07n+vVZXV5OWlkZaWhqpqaknPT90SkoKo0ePBmDgwIG8+uqrJ7W/YbQ2/dPP4IXCIRRv38ej//Muk5/7E0/3+DP3jerH5Rd8MT3mB/s/47PDR8k6v22OH0AbqxCC4KKLLqK0tJS1a9dSVFTEiBEjaNeuHXV1dQD84x/HDlp17Bi777GgoICVK1fSv39/nn32WdatWxczr6py22238cgjj5zQcefOncydO5eNGzfSpUsXCgoKGry2bNnCzJkzefPNN2N2N512mos/n5SU1LBcv15bW3vM+23sPUeTnJyMiGtuRyIRamsTY/5co20jIlzT91yuvqgrK8p28/ir/8vEp9/hmr5duXdkXy4+L43NXqykrDbcQrAuoxayZ88eOnTowK233srUqVMpKysjMzOT0tJSAFasWNHsYx08eJBu3bpx5MiRY7p/hg0bxoIFCwDX119VVcWwYcNYvnw5+/btA+CTTz6JOThdVVVFx44d6dy5Mx999FFDdNYDBw4wYcIEFi9ezDnnnHrkxoyMDLZu3cqhQ4c4cOAAr732WsO2tLQ0Dh4M12xXhhGLSJIwblA6xVO/zr0j3R1Jo+a9ybRfVrBu+z5SIkn0aaMPpYHPLQQRWQZc7K2eAXyqqrkikglsA7Z7295R1Tv9dPGLTZs2MW3aNJKSkkhOTmbBggXU1NQwadIk5syZQ15eXrOP9dBDD5GXl0dGRgbZ2dkNF9J58+ZRWFjIokWLiEQiLFiwgMsvv5yHH36YESNGUFdXR3JyMvPnzycjI+NLx+3fvz8DBgwgKyuL3r17c+WVVwKwcuVKdu3axR133NGQt7y8/KTLID09nXHjxpGTk0OfPn0YMGBAw7bCwkJGjRpFt27dGsYRDCPspCZHuOvrFzDhsnTmF+9g8du7OHy0juzzOzc56JzoSGODJ76cSORHwAFVneVVCGtU9dKTOcagQYO0pKTkmLRt27bRr1+/VvM0woH9X40w8ZdPPmfBG+9zWWYXbhzQI2idk0ZESlV10InyxWUMQVyn8TjgmniczzAMozVJP7MDc27MDlrDd+I1qJwPfKSq70Wl9RKRPwFVwHRV/X1jO4pIIVAI0LNnT99FE528vDwOHTp0TNqSJUvIzm77H2bDMFpGiysEEfkdcF4jmx5Q1VXe8kTg+ahte4GeqrpfRAYCK0UkS1W/NOWRqi4EFoLrMmqpb1vnD3/4Q9AKhmEkKC2uEFT12qa2i0g7YAwwMGqfQ8Ahb7lURN4HLgJKGj2IYRiG4TvxGC6/FnhXVXfXJ4jIOSIS8ZZ7A32AP8fBxTAMw4hBPMYQJnBsdxHAVcAsEakFjgJ3quoncXAxDMMwYuB7haCqBY2krQCa/8SWYRiG4Ttt9wmLBCFe8yHMmTPnmPUrrrgCgA8++IBLL3WPg5SXl7N27VpfPQzDCC9WIQREbW0tH374IRs2bKCyspJ77rnH1/MdXyFs2LDhS3msQjCMrzZtKrjdh3PmcGhb686HcFq/vpx3//0xtyfCfAj33XcfNTU15ObmkpWVxdKlS+nUqRPV1dUNeQ4fPsyMGTOoqanhrbfeoqioiPHjx7dqWRqGEW6shdBCEmE+hEcffZT27dtTXl4eM09KSgqzZs1i/PjxlJeXW2VgGF9B2lQLoalf8n6RKPMhGIZhnIg2VSEEQSLMh2AYhtEcrMuohSTCfAjgJqY5cuRIk+e3uQsM46uNVQgtZNOmTQwePJjc3Fxmz57N9OnTmTlzJnfffTf5+fkxZyFrjPr5EIYPH07fvn0b0ufNm0dxcTHZ2dkMHDiQLVu2cMkllzTMh5CTk8Pw4cPZu3dvzGMXFhaSk5PDLbfcEjPP0KFD2bp1K7m5uSxbtqzZ3oZhtA3iNh9Ca2DzIXx1sP+rYbQezZ0PwVoIhmEYBmCDym0Omw/BMIxTxSqENobNh2AYxqnSJrqMEmkcxDgx9v80jGBI+AohNTWV/fv320WkjaCq7N+/n9TU1KBVDOMrR8J3GfXo0YPdu3fz8ccfB61itBKpqan06NEjaA3D+MrRKhWCiNwE/ADoBwxW1ZKobUXAJNxEOFNU9WUvfSQwD4gAP1XVR0/l3MnJyfTq1atlb8AwDMNotS6jzbh5k9+MThSRS3AzpmUBI4GnRCTiTZ85HxgFXAJM9PIahmEYAdEqLQRV3QYgIsdv+gbwgqoeAnaKyA5gsLdth6r+2dvvBS/v1tbwMQzDME4evweVzwf+ErW+20uLlW4YhmEERLNbCCLyO+C8RjY9oKqrYu3WSJrSeEXU6G1CIlIIFHqr1SKyvQnNs4G/NbE9TJirP5irP5irP8TLNaM5mZpdIajqtacgsRtIj1rvAezxlmOlH3/ehcDC5pxMREqaE68jDJirP5irP5irP4TN1e8uo9XABBE5TUR6AX2APwIbgT4i0ktEUnADz6t9djEMwzCaoLVuO70ReBI4B/itiJSr6nWqukVEXsQNFtcC31PVo94+k4GXcbedPqOqW1rDxTAMwzg1Wusuo18Dv46xbTYwu5H0tcDa1jh/FM3qWgoJ5uoP5uoP5uoPoXJNqPkQDMMwDP9I+FhGhmEYRuuQUBWCiGSIyBlBezQHEekrIpOC9mgOIpIWtENbRETOCtqhuYhIbxG5IGiP5iAiWSJyX9AezUFEugTtcDIkRIUgIp1E5D+B3wLdg/ZpChHp6LmuA8aE+aLglevjwBIRuVFEMgNWionn+pSIXBe0y4nwXH8ErBaRIhEZErRTLKK+Wytx98SHlqhyXQOMD3MF5l0HHgd+JSK3i8gALz3U19xQywGIyGXAeuBMYICqhja8hYh8EygBDgJ3ABFV3R+sVeN48aSe9FYfAy4E5gRnFBsR6Q48DYwDbhaRcwJWiomIfA34jbd6F3A6zjt0iEhf4DUgU1VzVDW0syuJyAjgDeAQcCvwLlAVqFTTPAKkAncCh4GnAFS1LkipExHaCkFEkr3FQ8D7wOOqekREckUkU0RCE7o7ynU78E1VnamqvwEyvKiuSCOBnoIgqty6Admqeo+qrgdeAnJF5F+Ds4vJ58B/4R5m7AKM9Cq0MLIXd3v1v6lqJZAClAXsFIsa3HNBzwGIyCARuTSkXYg7gAmqer/3eb0UGAbh+W6BawF43US9gSJV3Q78CuguIrPq8wTp2BShE/P63n8GPCgiGd6Xqhi4R0TW4X7VPg78MOjumONdgS2qulVEUkSkA65p2xVAA76dK8p1lleuu4F9IjLdy5KKe2Dw2yLSNTBRQET6iMi/16+r6qdAparWAD8HxtPMR/H9phHXvd5nIE1E5uFaByO87q5zgzNt1HUX8HtglIiU4b5XRcBiEWksTE3cON4V2Kmq73kPsgL8AhdFOQzfrQZXVa1T1b8DHYH6cY4ewKvAd0Wke5hbCaGqELwL/M9w4bQjwGwRuR5YhIuLtFJV84EHve2BDdo24vogcBOAqh5W1c9xv2bP9/IH9os2RrmOBu4GviMii4BngRdxF4jcgFQRkZuB14FpXhwrRCTiVQao6grgU9wT8Mmxj+Q/sVy9zdW4z2s68F3gCO4zEgiNuXq8jAsxs9j7bk0GdgHTv3yU+BDDNQncd8tbT65PC/IXdxPlWghcISJLcM9oPQssBa6Pu+TJoKqheQFXAq95y0m4vsKf4vq3k4/L+zAwKWSu/w30j8pzA1Aa0nJdhKusOgBDgTO97b8FcgN0vQq4Brgc19XSwUsXIMlbHuR5Xgx8C7g4ZK6RRvLeBnw/bOXqbetyXN5JwP1hc/U+u/XPTl2NC6EfiGMzyzUN+Bpwlrc+H7jWW5ag3Rt7haqFgCvQ00RkoLpm1Xrcr5WJqnqkPpOI5OAuYnuD0QQad92Nm9ehnl3AFhHpGYRgFLHKdZKqfq6qxar6iYgMxl14AxusU9U3gd+r6tvAJtxMfOAqgzovTwlQhxvAvwP36zvuNOF6TBeGiOTifjG+H1fBKGK5ikiSui4OvPUBwHeAnUF4QpPlKupdTb30zUHfwdVEuUZU9aCqlqnqfu+71Q/4u7dfKJ8IDqRCEJEzvT72+vX6QaFkXDiLGwFUdSdQCZwuIl1E5CwR+SWu1fCkuvAXYXNNE5EzvTwKdMZ1H/jOSbpWeK5niEhnEfkPXKvhF+pNXBSQK1GV/2O4/u1s/SIGVkREJuC6tQpV9Sq/fU/Btc7L11VEluLukHpCVZ/z07OFrmeISH1k4SdU9fkQuh6N2v0M4CPcjzDfacHntZO4aYR/DixS1dJ4+J4yATSxpuOC3T0D3OelRaK2X4u7MF3vrV+EG+xM9dbHJYBr+wQs1yvD4npc3lm4LxJAHq4Fc34CuA72/o5KANc87+/wRHDluO7jMLt6f/vF07dF7zWOhdoFWAA8jxt17w/8FUjzttf3D3cGvo3r5kgHxuIGZbomkOvZCeQamnKNsU8ybgKRatygbLsEcZ0V66Jhri1y/YG37nsffCJ9XlvtPcehUDt5f1OA3lHp3wB+Apznrctx+30fWILrl7s8LoVhroG6HreP4MKpr8a1ZP7JXM3VXH1+7z4W6lm4UfUVwESgm5eejLuPfBeu9n0Lr1mNuyVSoo7RwS8/cw2ta1LU/inASHM1V3ONz8uvgh2OG2CdAYzBDVTdE7U9utb9FrAtsAIw11C6Esfb8szVXBPJ1c+XX+Ef/gb8SFV/Di5KKS4WESIieuxdIcuAW0Wkq6ru88mnKczVH1rkqt63zFzN1Vzjhy+3narqn4DlUU8QfowbyERVtf6WLRHpg3s69r2ALlrmaq7maq4J5eonLaoQRKSDiAyXL+KLNKCqn+kXMTtycIOY9bQXkbtxfXWvqurklniYq7maq7m2NdcgOOUKQURux4WgHQJ0ikpPilqOeDVrV9zTsfVhbBX3oNQQVZ1/qg7maq7maq5t0TUoTmkMQUTSgX8BRqjqu1Hpol88+Xixqm73auJzcKGVH8KN1P9RVd9rub65mqu5mmvbcg0Ubf4ofLuo5RzgGW+5Dy7Eby9v/XzgBVzT6ixciIE64BXgxuaeryUvczVXczXXRHINy6tZhQrMBebhPdqOi575MpCPewjjJ7iwyROBwcD0445xd7w+AOZqruZqroniGrbXiQpWcFO//QK4BfgdcJe3bT1u4ppsb/1aXKCpYx7UiNsbMVdzNVdzTSDXML5OVLinAxv4Ii7OdV5hD8fF+a4mKhY9rtmVUf+PiesbMVdzNVdzTSDXML6avMtIVauAD4ACL2k9rrk1RlXLgMXAJBG5XkSexTXV/urtq00du7UxV3M1V3NNJNcw0pzbTn+NG23vpqrVuDj6R0TkQtycoa/j+uHeV9Wxqlrrn665mqu5mmubcg0XJ2pCAN2AHwJFUWlvERXNjzjHJzdXczVXc20LrmF7nbCFoKp7gZW4mYBuEpFM4B/A4ag8gUxheDzm6g/m6g/m6g+J5Bo26iesPnFGkVHATcAVwI9V9cd+irUEc/UHc/UHc/WHRHINC82uEABEJBk39hL6Pjdz9Qdz9Qdz9YdEcg0DJ1UhGIZhGG0XX8JfG4ZhGImHVQiGYRgGYBWCYRiG4WEVgmEYhgFYhWAYhmF4WIVgGIZhAFYhGIZhGB5WIRiGYRgA/D8H7XrY1LBnsAAAAABJRU5ErkJggg==\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = pd.date_range(start=datetime.datetime(2014,6,23), end=datetime.datetime(2014,6,24), freq='5Min')\n", "\n", "ephem_tus = pvlib.solarposition.get_solarposition(times.tz_localize(tus.tz), tus.latitude, tus.longitude)\n", "ephem_joh = pvlib.solarposition.get_solarposition(times.tz_localize(johannesburg.tz),\n", " johannesburg.latitude, johannesburg.longitude)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_tus['apparent_zenith'], ephem_tus['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data.plot()\n", "plt.title('Tucson, June')\n", "plt.ylim(-100,100)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_joh['apparent_zenith'], ephem_joh['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data.plot()\n", "plt.title('Johannesburg, June')\n", "plt.ylim(-100,100)" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-100, 100)" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = pd.date_range(start=datetime.datetime(2014,12,23), end=datetime.datetime(2014,12,24), freq='5Min')\n", "\n", "ephem_tus = pvlib.solarposition.get_solarposition(times.tz_localize(tus.tz), tus.latitude, tus.longitude)\n", "ephem_joh = pvlib.solarposition.get_solarposition(times.tz_localize(johannesburg.tz),\n", " johannesburg.latitude, johannesburg.longitude)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_tus['apparent_zenith'], ephem_tus['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data.plot()\n", "plt.title('Tucson, December')\n", "plt.ylim(-100,100)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_joh['apparent_zenith'], ephem_joh['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data.plot()\n", "plt.title('Johannesburg, December')\n", "plt.ylim(-100,100)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,1,'Johannesburg, December, no backtrack')" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = pd.date_range(start=datetime.datetime(2014,12,23), end=datetime.datetime(2014,12,24), freq='5Min')\n", "\n", "ephem_tus = pvlib.solarposition.get_solarposition(times.tz_localize(tus.tz), tus.latitude, tus.longitude)\n", "ephem_joh = pvlib.solarposition.get_solarposition(times.tz_localize(johannesburg.tz),\n", " johannesburg.latitude, johannesburg.longitude)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_tus['apparent_zenith'], ephem_tus['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=False, gcr=2.0/7.0)\n", "tracker_data['aoi'].plot()\n", "plt.title('Tucson, December, no backtrack')\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_joh['apparent_zenith'], ephem_joh['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=False, gcr=2.0/7.0)\n", "plt.figure()\n", "tracker_data['aoi'].plot()\n", "plt.title('Johannesburg, December, no backtrack')" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,1,'Johannesburg, May, no backtrack')" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = pd.date_range(start=datetime.datetime(2014,5,5), end=datetime.datetime(2014,5,6), freq='5Min')\n", "\n", "ephem_tus = pvlib.solarposition.get_solarposition(times.tz_localize(tus.tz), tus.latitude, tus.longitude)\n", "ephem_joh = pvlib.solarposition.get_solarposition(times.tz_localize(johannesburg.tz),\n", " johannesburg.latitude, johannesburg.longitude)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_tus['apparent_zenith'], ephem_tus['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=False, gcr=2.0/7.0)\n", "tracker_data['aoi'].plot()\n", "plt.title('Tucson, May, no backtrack')\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_joh['apparent_zenith'], ephem_joh['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=False, gcr=2.0/7.0)\n", "plt.figure()\n", "tracker_data['aoi'].plot()\n", "plt.title('Johannesburg, May, no backtrack')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Calculate full POA irradiance" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we'll put the tracker data together with the irradiance algorithms to determine plane-of-array irradiance." ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-100, 100)" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = pd.date_range(start=datetime.datetime(2014,3,23), end=datetime.datetime(2014,3,24), freq='5Min')\n", "\n", "ephem_tus = pvlib.solarposition.get_solarposition(times.tz_localize(tus.tz), tus.latitude, tus.longitude)\n", "ephem_joh = pvlib.solarposition.get_solarposition(times.tz_localize(johannesburg.tz),\n", " johannesburg.latitude, johannesburg.longitude)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_tus['apparent_zenith'], ephem_tus['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data.plot()\n", "plt.ylim(-100,100)" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "irrad_data = tus.get_clearsky(times.tz_localize(tus.tz))\n", "dni_et = pvlib.irradiance.get_extra_radiation(irrad_data.index, method='asce')\n", "irrad_data.plot()\n", "dni_et.plot(label='DNI ET')" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ground_irrad = pvlib.irradiance.get_ground_diffuse(tracker_data['surface_tilt'], irrad_data['ghi'], albedo=.25)\n", "ground_irrad.plot()" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ephem_data = ephem_tus\n", "\n", "haydavies_diffuse = pvlib.irradiance.haydavies(tracker_data['surface_tilt'], tracker_data['surface_azimuth'], \n", " irrad_data['dhi'], irrad_data['dni'], dni_et,\n", " ephem_data['apparent_zenith'], ephem_data['azimuth'])\n", "haydavies_diffuse.plot(label='haydavies diffuse')" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "global_in_plane = cosd(tracker_data['aoi'])*irrad_data['dni'] + haydavies_diffuse + ground_irrad\n", "global_in_plane.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Do it again for another time of year." ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = pd.date_range(start=datetime.datetime(2014,6,23), end=datetime.datetime(2014,6,24), freq='5Min')\n", "\n", "ephem_tus = pvlib.solarposition.get_solarposition(times.tz_localize(tus.tz), tus.latitude, tus.longitude)\n", "ephem_joh = pvlib.solarposition.get_solarposition(times.tz_localize(johannesburg.tz),\n", " johannesburg.latitude, johannesburg.longitude)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_tus['apparent_zenith'], ephem_tus['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data.plot()\n", "plt.ylim(-100,100)\n", "\n", "irrad_data = tus.get_clearsky(times.tz_localize(tus.tz))\n", "dni_et = pvlib.irradiance.get_extra_radiation(irrad_data.index, method='asce')\n", "plt.figure()\n", "irrad_data.plot()\n", "dni_et.plot(label='DNI ET')\n", "\n", "ground_irrad = pvlib.irradiance.get_ground_diffuse(tracker_data['surface_tilt'], irrad_data['ghi'], albedo=.25)\n", "ground_irrad.plot()\n", "\n", "ephem_data = ephem_tus\n", "\n", "haydavies_diffuse = pvlib.irradiance.haydavies(tracker_data['surface_tilt'], tracker_data['surface_azimuth'], \n", " irrad_data['dhi'], irrad_data['dni'], dni_et,\n", " ephem_data['apparent_zenith'], ephem_data['azimuth'])\n", "haydavies_diffuse.plot(label='haydavies diffuse')\n", "\n", "global_in_plane = cosd(tracker_data['aoi'])*irrad_data['dni'] + haydavies_diffuse + ground_irrad\n", "global_in_plane.plot(label='global in plane')\n", "\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = pd.date_range(start=datetime.datetime(2014,12,23), end=datetime.datetime(2014,12,24), freq='5Min')\n", "\n", "ephem_tus = pvlib.solarposition.get_solarposition(times.tz_localize(tus.tz), tus.latitude, tus.longitude)\n", "ephem_joh = pvlib.solarposition.get_solarposition(times.tz_localize(johannesburg.tz),\n", " johannesburg.latitude, johannesburg.longitude)\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_tus['apparent_zenith'], ephem_tus['azimuth'],\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data.plot()\n", "plt.ylim(-100,100)\n", "\n", "irrad_data = tus.get_clearsky(times.tz_localize(tus.tz))\n", "dni_et = pvlib.irradiance.get_extra_radiation(irrad_data.index, method='asce')\n", "plt.figure()\n", "irrad_data.plot()\n", "dni_et.plot(label='DNI ET')\n", "\n", "ground_irrad = pvlib.irradiance.get_ground_diffuse(tracker_data['surface_tilt'], irrad_data['ghi'], albedo=.25)\n", "ground_irrad.plot()\n", "\n", "ephem_data = ephem_tus\n", "\n", "haydavies_diffuse = pvlib.irradiance.haydavies(tracker_data['surface_tilt'], tracker_data['surface_azimuth'], \n", " irrad_data['dhi'], irrad_data['dni'], dni_et,\n", " ephem_data['apparent_zenith'], ephem_data['azimuth'])\n", "haydavies_diffuse.plot(label='haydavies diffuse')\n", "\n", "global_in_plane = cosd(tracker_data['aoi'])*irrad_data['dni'] + haydavies_diffuse + ground_irrad\n", "global_in_plane.plot(label='global in plane')\n", "\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Reproduce examples from ``pvl_singleaxis.m``" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Location: \n", " name: Albuquerque\n", " latitude: 35\n", " longitude: -106\n", " altitude: 0\n", " tz: US/Mountain\n" ] } ], "source": [ "abq = Location(35, -106, 'US/Mountain', 0, 'Albuquerque')\n", "print(abq)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Example 1:\n", "\n", "Horizontal single axis tracking without back-tracking (max angle = 45 deg)" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,1,'June 1, Albuquerque, NS Horizontal Single-Axis, no backtrack')" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = pd.date_range(start=datetime.datetime(2014,6,1), end=datetime.datetime(2014,6,2), freq='5Min')\n", "\n", "ephem_abq = abq.get_solarposition(times.tz_localize(abq.tz))\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_abq['apparent_zenith'], ephem_abq['azimuth'],\n", " axis_tilt=0, axis_azimuth=180, max_angle=45,\n", " backtrack=False, gcr=2.0/7.0)\n", "tracker_data.plot()\n", "plt.ylim(-100,100)\n", "plt.title('June 1, Albuquerque, NS Horizontal Single-Axis, no backtrack')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Example 2:\n", "\n", "Horizontal single axis tracking with back-tracking (assumes GCR of 0.3)" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,1,'June 1, Albuquerque, NS Horizontal Single-Axis, with backtracking')" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = pd.date_range(start=datetime.datetime(2014,6,1), end=datetime.datetime(2014,6,2), freq='5Min')\n", "\n", "ephem_abq = abq.get_solarposition(times.tz_localize(abq.tz))\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_abq['apparent_zenith'], ephem_abq['azimuth'],\n", " axis_tilt=0, axis_azimuth=180, max_angle=45,\n", " backtrack=True, gcr=.3)\n", "tracker_data.plot()\n", "plt.ylim(-100,100)\n", "plt.title('June 1, Albuquerque, NS Horizontal Single-Axis, with backtracking')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Example 3:\n", "\n", "20 deg titled single axis tracking with back-tracking (assumes GCR of 0.3)" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,1,'June 1, Albuquerque, 20 deg S-Tilted Single-Axis, with backtracking')" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "times = pd.date_range(start=datetime.datetime(2014,6,1), end=datetime.datetime(2014,6,2), freq='5Min')\n", "\n", "ephem_abq = abq.get_solarposition(times.tz_localize(abq.tz))\n", "\n", "tracker_data = pvlib.tracking.singleaxis(ephem_abq['apparent_zenith'], ephem_abq['azimuth'],\n", " axis_tilt=20, axis_azimuth=180, max_angle=45,\n", " backtrack=True, gcr=.3)\n", "tracker_data.plot()\n", "plt.ylim(-50,300)\n", "plt.title('June 1, Albuquerque, 20 deg S-Tilted Single-Axis, with backtracking')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### sketch of automated tests" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "test solar noon" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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tracker_thetaaoisurface_azimuthsurface_tilt
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" ], "text/plain": [ " tracker_theta aoi surface_azimuth surface_tilt\n", "0 0.0 10.0 90.0 0.0" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([10])\n", "apparent_azimuth = pd.Series([180])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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tracker_thetaaoisurface_azimuthsurface_tilt
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" ], "text/plain": [ " tracker_theta aoi surface_azimuth surface_tilt\n", "0 -60.0 0.0 90.0 60.0" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([60])\n", "apparent_azimuth = pd.Series([90])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=180, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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tracker_thetaaoisurface_azimuthsurface_tilt
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" ], "text/plain": [ " tracker_theta aoi surface_azimuth surface_tilt\n", "0 60.0 0.0 90.0 60.0" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([60])\n", "apparent_azimuth = pd.Series([90])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Test max" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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tracker_thetaaoisurface_azimuthsurface_tilt
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" ], "text/plain": [ " tracker_theta aoi surface_azimuth surface_tilt\n", "0 45.0 15.0 90.0 45.0" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([60])\n", "apparent_azimuth = pd.Series([90])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=0, max_angle=45,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Test backtrack bool" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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tracker_thetaaoisurface_azimuthsurface_tilt
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" ], "text/plain": [ " tracker_theta aoi surface_azimuth surface_tilt\n", "0 80.0 8.537736e-07 90.0 80.0" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([80])\n", "apparent_azimuth = pd.Series([90])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=False, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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tracker_thetaaoisurface_azimuthsurface_tilt
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" ], "text/plain": [ " tracker_theta aoi surface_azimuth surface_tilt\n", "0 27.428334 52.571666 90.0 27.428334" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([80])\n", "apparent_azimuth = pd.Series([90])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Test axis_tilt" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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tracker_thetaaoisurface_azimuthsurface_tilt
0-20.881217.286245142.657335.987415
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" ], "text/plain": [ " tracker_theta aoi surface_azimuth surface_tilt\n", "0 -20.88121 7.286245 142.6573 35.987415" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([30])\n", "apparent_azimuth = pd.Series([135])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=30, axis_azimuth=180, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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tracker_thetaaoisurface_azimuthsurface_tilt
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" ], "text/plain": [ " tracker_theta aoi surface_azimuth surface_tilt\n", "0 31.665508 47.66322 50.969695 42.515219" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([30])\n", "apparent_azimuth = pd.Series([135])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=30, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Test axis_azimuth" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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tracker_thetaaoisurface_azimuthsurface_tilt
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" ], "text/plain": [ " tracker_theta aoi surface_azimuth surface_tilt\n", "0 0.0 30.0 180.0 0.0" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([30])\n", "apparent_azimuth = pd.Series([90])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=90, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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tracker_thetaaoisurface_azimuthsurface_tilt
030.00.0180.030.0
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" ], "text/plain": [ " tracker_theta aoi surface_azimuth surface_tilt\n", "0 30.0 0.0 180.0 30.0" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([30])\n", "apparent_azimuth = pd.Series([180])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=90, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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tracker_thetaaoisurface_azimuthsurface_tilt
030.00.0180.030.0
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" ], "text/plain": [ " tracker_theta aoi surface_azimuth surface_tilt\n", "0 30.0 0.0 180.0 30.0" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([30])\n", "apparent_azimuth = pd.Series([180])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=90, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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tracker_thetaaoisurface_azimuthsurface_tilt
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" ], "text/plain": [ " tracker_theta aoi surface_azimuth surface_tilt\n", "0 -11.170229 28.024321 80.0 11.170229" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([30])\n", "apparent_azimuth = pd.Series([150])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=170, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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tracker_thetaaoisurface_azimuthsurface_tilt
05.72510529.498704260.05.725105
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" ], "text/plain": [ " tracker_theta aoi surface_azimuth surface_tilt\n", "0 5.725105 29.498704 260.0 5.725105" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([30])\n", "apparent_azimuth = pd.Series([180])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=170, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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tracker_thetaaoisurface_azimuthsurface_tilt
00.010.090.00.0
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" ], "text/plain": [ " tracker_theta aoi surface_azimuth surface_tilt\n", "0 0.0 10.0 90.0 0.0" ] }, "execution_count": 60, "metadata": {}, "output_type": "execute_result" } ], "source": [ "apparent_zenith = pd.Series([10])\n", "apparent_azimuth = pd.Series([180])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is supposed to fail..." ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "scrolled": false }, "outputs": [ { "ename": "ValueError", "evalue": "apparent_azimuth.index and apparent_zenith.index must match.", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mAssertionError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m~/git_repos/pvlib2/pvlib-python/pvlib/tracking.py\u001b[0m in \u001b[0;36msingleaxis\u001b[0;34m(apparent_zenith, apparent_azimuth, axis_tilt, axis_azimuth, max_angle, backtrack, gcr)\u001b[0m\n\u001b[1;32m 328\u001b[0m pd.util.testing.assert_index_equal(apparent_azimuth.index,\n\u001b[0;32m--> 329\u001b[0;31m apparent_zenith.index)\n\u001b[0m\u001b[1;32m 330\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0mAssertionError\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;32m~/miniconda3/envs/pvlibfx36/lib/python3.6/site-packages/pandas/util/testing.py\u001b[0m in \u001b[0;36massert_index_equal\u001b[0;34m(left, right, exact, check_names, check_less_precise, check_exact, check_categorical, obj)\u001b[0m\n\u001b[1;32m 818\u001b[0m \u001b[0mmsg3\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m'{length}, {right}'\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mformat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlength\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mright\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mright\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mright\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 819\u001b[0;31m \u001b[0mraise_assert_detail\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mobj\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmsg1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmsg2\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmsg3\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 820\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;32m~/miniconda3/envs/pvlibfx36/lib/python3.6/site-packages/pandas/util/testing.py\u001b[0m in \u001b[0;36mraise_assert_detail\u001b[0;34m(obj, message, left, right, diff)\u001b[0m\n\u001b[1;32m 1022\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1023\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mAssertionError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmsg\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1024\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mAssertionError\u001b[0m: Index are different\n\nIndex length are different\n[left]: 2, RangeIndex(start=0, stop=2, step=1)\n[right]: 1, RangeIndex(start=0, stop=1, step=1)", "\nDuring handling of the above exception, another exception occurred:\n", "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 3\u001b[0m tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n\u001b[1;32m 4\u001b[0m \u001b[0maxis_tilt\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0maxis_azimuth\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmax_angle\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m90\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 5\u001b[0;31m backtrack=True, gcr=2.0/7.0)\n\u001b[0m\u001b[1;32m 6\u001b[0m \u001b[0mtracker_data\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;32m~/git_repos/pvlib2/pvlib-python/pvlib/tracking.py\u001b[0m in \u001b[0;36msingleaxis\u001b[0;34m(apparent_zenith, apparent_azimuth, axis_tilt, axis_azimuth, max_angle, backtrack, gcr)\u001b[0m\n\u001b[1;32m 329\u001b[0m apparent_zenith.index)\n\u001b[1;32m 330\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0mAssertionError\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 331\u001b[0;31m raise ValueError('apparent_azimuth.index and '\n\u001b[0m\u001b[1;32m 332\u001b[0m 'apparent_zenith.index must match.')\n\u001b[1;32m 333\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mValueError\u001b[0m: apparent_azimuth.index and apparent_zenith.index must match." ] } ], "source": [ "apparent_zenith = pd.Series([10])\n", "apparent_azimuth = pd.Series([180,90])\n", "tracker_data = pvlib.tracking.singleaxis(apparent_zenith, apparent_azimuth,\n", " axis_tilt=0, axis_azimuth=0, max_angle=90,\n", " backtrack=True, gcr=2.0/7.0)\n", "tracker_data" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.5" } }, "nbformat": 4, "nbformat_minor": 1 }