{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Euler deconvolution of synthetic magnetic data\n", "\n", "Euler deconvolution of potential fields is a widely used interpretation technique.\n", "This is, in no small part, due to its simplicity and ease of implementation and use.\n", "This [IPython notebook](http://ipython.org/notebook.html) will apply standard Euler deconvolution on synthetic total field magnetic anomaly data in an attempt to highlight some common misconceptions in the interpretation of the results.\n", "\n", "We use the Euler deconvolution implemented in the open-source [Python](http://python.org/) library [Fatiando a Terra](http://fatiando.org/). The library also provides routines for plotting, forward modeling, calculating derivatives through FFT (required for Euler deconvolution) and more.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Euler deconvolution is based on Euler's homogeneity equation,\n", "\n", "$$\n", "(x_i - x_0)\\dfrac{\\partial f_i}{\\partial x} + \n", "(y_i - y_0)\\dfrac{\\partial f_i}{\\partial y} + \n", "(z_i - z_0)\\dfrac{\\partial f_i}{\\partial z} = \n", "\\eta (b - f_i),\n", "$$\n", "\n", "where $(x_i, y_i, z_i)$ are the coordinates of observation $f_i$ (the total field anomaly), $(x_0, y_0, z_0)$ is a point on the source (where that point is depends on the nature of the source), $b$ is a constant base level (shift in the data), and $\\eta$ is called the structural index (SI) and is related to the nature of the source.\n", "\n", "Given the observed total field anomaly $f_i$, its derivatives, and the structural index, we can solve the above equation for the unknown point $(x_0, y_0, z_0)$ and base level $b$. This is implemented as the class Classic from the [euler](http://fatiando.readthedocs.org/en/v0.2/api/gravmag.euler.html) module of Fatiando a Terra. \n", "\n", "However, this is only valid if there is only one source. When there are multiple sources, the most common approach is to select a small window over the data and solve using the observations that fall inside the window. The window is then moved and another solution is found. Thus, we end up with a set of solutions. This is called a *moving window* scheme and is implemented in class MovingWindow in the [euler](http://fatiando.readthedocs.org/en/v0.2/api/gravmag.euler.html) module.\n", "\n", "A drawback of this approach is the sheer number of solutions generated, many of which are spurious. Thus, the solutions have to be filtered so that only consistent solutions are kept. How to best perform this filtering is an active field of research and will not be covered here. The MovingWindow class implements a simple filter that keeps only a percentage of the solutions, ranked by the average uncertainty of the estimate. This is an approach similar to that adopted by Beiki and Pedersen (2010).\n", "\n", "Returning to the subject of the structural index, it is a number that characterizes the decay of the potential field with distance. The structural indexes of some ideal sources (sphere, cylinder, vertical dike, etc) have been calculated (e.g., Reid et al., 1990). However, most, if not all, geologic sources cannot be properly approximated by such ideal sources. There are methods that have been developed to estimate the structural index during Euler deconvolution. However, that is outside the scope of our study and will not be covered here.\n", "\n", "We will show an application of Euler deconvolution using the moving window scheme on synthetic total field magnetic anomaly data. This application will illustrate how the deconvolution results behave for non-ideal sources. We will use the results obtained to highlight how the output of Euler deconvolution should and, most importantly, should not be interpreted." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Loading the data\n", "\n", "The first step is to load (import) the required libraries." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "import numpy as np\n", "import json\n", "import cPickle as pickle\n", "from IPython.display import Image\n", "from fatiando.gravmag.euler import Classic, ExpandingWindow, MovingWindow\n", "from fatiando.gravmag import fourier, sphere, polyprism\n", "from fatiando.mesher import PolygonalPrism, Sphere\n", "from fatiando.vis import mpl, myv\n", "from fatiando import utils\n", "import fatiando\n", "print(\"Using Fatiando a Terra version {0}\".format((fatiando.version)))\n", "mpl.rc('font', size=9)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Using Fatiando a Terra version 0.2\n" ] } ], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we load the synthetic data and accompanying metadata using modules [json](http://docs.python.org/2/library/json.html) and [numpy](http://www.numpy.org/)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "x, y, z, tf = np.loadtxt('data/synthetic_data.txt', unpack=True)\n", "with open('data/metadata.json') as f:\n", " metadata = json.load(f)\n", " area = metadata['area']\n", " bounds = metadata['bounds']\n", " shape = metadata['shape']\n", " inc = metadata['inc']\n", " dec = metadata['dec']" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "metadata" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 3, "text": [ "{u'area': [5000, 25000, 5000, 25000],\n", " u'bounds': [0, 30000, 0, 30000, 0, 5000],\n", " u'dec': 30,\n", " u'inc': -15,\n", " u'shape': [100, 100]}" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Module [mpl](http://fatiando.readthedocs.org/en/v0.2/api/vis.mpl.html) of Fatiando a Terra interfaces with the 2D plotting library [matplotlib](http://matplotlib.org/). We can use it to generate a filled contour plot of the data. Note that the x coordinates (array x) are North-South and y (array y) are East-West." ] }, { "cell_type": "code", "collapsed": false, "input": [ "mpl.figure(figsize=(3.33, 2.7))\n", "mpl.axis('scaled')\n", "mpl.contourf(y, x, tf, shape, 60, cmap=mpl.cm.RdBu_r)\n", "mpl.colorbar().set_label('nT')\n", "mpl.m2km()\n", "mpl.xlabel('East (km)')\n", "mpl.ylabel('North (km)')\n", "mpl.savefig('fig/data.png', dpi=600)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAPkAAADDCAYAAABArrdbAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nR43kNdQwwlEjeQ01jHDUSF5DDSMc/w8DpI2ZfmBDTQAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The polygonal prism model used to generate the data is stored in a Python [pickle](http://docs.python.org/2/library/pickle.html) file." ] }, { "cell_type": "code", "collapsed": false, "input": [ "with open('data/model.pickle') as f:\n", " model = pickle.load(f)\n", " dike, sill, batholith = model" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can use module [myv](http://fatiando.readthedocs.org/en/v0.2/api/vis.myv.html) to interface with 3D plotting library [Mayavi](http://code.enthought.com/projects/mayavi/) and render the model. Notice that the model is composed of 3 different structures: a slightly crooked vertical dike, an irregular sill and a structure resembling an intrusive body, like a batholith." ] }, { "cell_type": "code", "collapsed": false, "input": [ "scene = myv.figure(size=(1000, 600))\n", "myv.polyprisms([dike], linewidth=1, color=(0, 0, 1))\n", "myv.polyprisms([sill], linewidth=1, color=(0, 1, 0))\n", "myv.polyprisms([batholith], linewidth=1, color=(1, 0, 0))\n", "ax = myv.axes(myv.outline(bounds), ranges=[b*0.001 for b in bounds], nlabels=3, fmt='%.0f')\n", "ax.axes.x_label, ax.axes.y_label, ax.axes.z_label = 'x', 'y', 'z'\n", "ax.axes.font_factor = 2\n", "myv.wall_north(bounds)\n", "myv.wall_bottom(bounds)\n", "scene.scene.camera.position = [-37282.427190894407, -35382.676458226633, -36760.719551179718]\n", "scene.scene.camera.focal_point = [13286.06353429469, 14199.525065081265, 5611.7451127001987]\n", "scene.scene.camera.view_angle = 19.2\n", "scene.scene.camera.view_up = [0.37050322249789591, 0.35546774432369316, -0.85812006436401433]\n", "scene.scene.camera.clipping_range = [42859.55137481264, 132512.66650687021]\n", "scene.scene.camera.compute_view_plane_normal()\n", "scene.scene.render()\n", "myv.savefig('fig/model.png')\n", "myv.show()\n", "Image(filename='fig/model.png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": "iVBORw0KGgoAAAANSUhEUgAAA+gAAAIoCAIAAAB1XlazAAAgAElEQVR4nOzde5ibZZ0//veUulU5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\n", "prompt_number": 6, "text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lets have a look at some of the properties of the model:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "print('Dike:')\n", "print(' top (m): {}'.format(dike.z1))\n", "print(' bottom (m): {}'.format(dike.z2))\n", "print(' magnetization (SI): {}'.format(dike.props['magnetization']))\n", "\n", "print('Sill:')\n", "print(' top (m): {}'.format(sill.z1))\n", "print(' bottom (m): {}'.format(sill.z2))\n", "print(' magnetization (SI): {}'.format(sill.props['magnetization']))\n", "\n", "print('Batholith:')\n", "print(' top (m): {}'.format(batholith.z1))\n", "print(' bottom (m): {}'.format(batholith.z2))\n", "print(' magnetization (SI): {}'.format(batholith.props['magnetization']))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Dike:\n", " top (m): 0.0\n", " bottom (m): 5000.0\n", " magnetization (SI): 10\n", "Sill:\n", " top (m): 1000.0\n", " bottom (m): 1500.0\n", " magnetization (SI): 10\n", "Batholith:\n", " top (m): 500.0\n", " bottom (m): 4000.0\n", " magnetization (SI): 2\n" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Structural index\n", "\n", "The structural index (SI) characterizes the nature of the source of the anomaly. It will vary depending on the potential field, hence, the SI for a type of source will not be same for gravity and magnetic fields. SI values have been calculated for ideal sources. After Reid et al. (1990), the SIs for the magnetic case are\n", "\n", "| Source | SI |\n", "|---------------|-----|\n", "| Dike | 1 |\n", "| Sill | 1 |\n", "| Sphere | 3 |\n", "| Vertical pipe | 2 |\n", "\n", "We'll assume that the SI values that best represent our model are: 1 for the dike and sill, 3 for the batholith." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Calculating derivatives\n", "\n", "Euler deconvolution requires the derivatives of the total-field anomaly. They could be directly measured (if possible) or calculated numerically. The important thing is that the derivatives need to be calculated/measured at the same observation points $(x_i, y_i, z_i)$ as the data. We will use module [fourier](http://fatiando.readthedocs.org/en/v0.2/api/gravmag.fourier.html) of Fatiando a Terra to calculate derivatives using the FFT. Note that this requires the total field anomaly to be in the Syst\u00e8me International units and on a regular grid. Output derivatives will be in units of T/m." ] }, { "cell_type": "code", "collapsed": false, "input": [ "tf_si = utils.nt2si(tf)\n", "xderiv = fourier.derivx(x, y, tf_si, shape)\n", "yderiv = fourier.derivy(x, y, tf_si, shape)\n", "zderiv = fourier.derivz(x, y, tf_si, shape)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "mpl.figure(figsize=(10, 4))\n", "mpl.subplots_adjust()\n", "levels = 30\n", "cbargs = dict(orientation='horizontal')\n", "\n", "ax = mpl.subplot(1, 3, 1)\n", "mpl.axis('scaled')\n", "mpl.title('x derivative')\n", "mpl.contourf(y, x, xderiv, shape, levels, cmap=mpl.cm.RdBu_r)\n", "mpl.colorbar(**cbargs).set_label('T/m')\n", "mpl.m2km()\n", "mpl.xlabel('East (km)')\n", "mpl.ylabel('North (km)')\n", "\n", "ax = mpl.subplot(1, 3, 2)\n", "mpl.axis('scaled')\n", "mpl.title('y derivative')\n", "mpl.contourf(y, x, yderiv, shape, levels, cmap=mpl.cm.RdBu_r)\n", "mpl.colorbar(**cbargs).set_label('T/m')\n", "mpl.m2km()\n", "mpl.xlabel('East (km)')\n", "mpl.ylabel('North (km)')\n", "\n", "ax = mpl.subplot(1, 3, 3)\n", "mpl.axis('scaled')\n", "mpl.title('z derivative')\n", "mpl.contourf(y, x, zderiv, shape, levels, cmap=mpl.cm.RdBu_r)\n", "cb = mpl.colorbar(**cbargs).set_label('T/m')\n", "mpl.m2km()\n", "mpl.xlabel('East (km)')\n", "mpl.ylabel('North (km)')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 9, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAlUAAAD8CAYAAABeilG9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Euler deconvolution\n", "\n", "Now we have all that we need to perform an Euler deconvolution with a moving-window scheme. We will use varying structural indexes (SI) and moving window sizes to illustrate the dependence of the results on these parameters." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, we'll use a 1 km window and vary the structural index from 1 to 3. We'll store the results in a Python list for later use. The parameter keep=0.3 tells the moving window scheme to keep only the best 30% of solutions using the criterion of Beiki and Pedersen (2010). Note that we have to pass the total field anomaly and the derivatives in Syst\u00e8me International units." ] }, { "cell_type": "code", "collapsed": false, "input": [ "euler_s1 = [MovingWindow(Classic(x, y, z, tf_si, xderiv, yderiv, zderiv, i), \n", " windows=(50, 50), size=(1000, 1000), keep=0.3).fit()\n", " for i in [1, 2, 3]]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we do the same for a 3 km window." ] }, { "cell_type": "code", "collapsed": false, "input": [ "euler_s3 = [MovingWindow(Classic(x, y, z, tf_si, xderiv, yderiv, zderiv, i), \n", " windows=(50, 50), size=(3000, 3000), keep=0.3).fit()\n", " for i in [1, 2, 3]]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "For the sake of completeness, let's run on a 5 km window as well." ] }, { "cell_type": "code", "collapsed": false, "input": [ "euler_s5 = [MovingWindow(Classic(x, y, z, tf_si, xderiv, yderiv, zderiv, i), \n", " windows=(50, 50), size=(5000, 5000), keep=0.3).fit()\n", " for i in [1, 2, 3]]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The typical way that deconvolution results are show is using a scatter map with color (or point size) representing the depth (z coordinate). We'll make 6 plots, one for each combination of window size and structural index. While we plot, we'll also filter out unrealistic results that lie above the data." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Get the maximum value of z that we got from all runs.\n", "# We'll use this to set the limits of the color bars\n", "maxz = max(p[2] for euler in [euler_s1, euler_s3] for e in euler for p in e.estimate_)\n", "labels = ['(a)', '(b)', '(c)', '(d)', '(e)', '(f)']\n", "fig = mpl.figure(figsize=(7, 4.8))\n", "mpl.subplots_adjust(left=0.06, top=0.98, bottom=0.05, wspace=0, hspace=0.02)\n", "for j, euler in enumerate([euler_s1, euler_s3]):\n", " for i, e in enumerate(euler):\n", " xc, yc, zc = e.estimate_.T\n", " xc, yc, zc = xc[zc > 0], yc[zc > 0], zc[zc > 0]\n", " ax = mpl.subplot(2, 3, 3*j + i + 1)\n", " mpl.axis('scaled')\n", " mpl.text(6000, 23000, labels[3*j + i], fontsize=12, fontweight='bold')\n", " mpl.title('SI={0} | Window={1:.0f} km'.format(e.euler.model['structural_index'], e.size[0]*0.001))\n", " #for body in model:\n", " # mpl.polygon(body, xy2ne=True, style='-b', linewidth=1.5)\n", " plot = mpl.scatter(yc, xc, s=30, c=zc*0.001, cmap=mpl.cm.RdYlGn_r, vmin=0, vmax=maxz*0.001)\n", " mpl.set_area(area)\n", " mpl.m2km()\n", " if i in [1, 2, 4, 5]:\n", " ax.set_yticklabels([])\n", " if j == 1:\n", " mpl.xlabel('East (km)')\n", " ax.set_xticklabels(['{:.0f}'.format(t*0.001) for t in ax.get_xticks()[:-1]])\n", " if j in [0]:\n", " ax.set_xticklabels([])\n", " if i in [0, 3]:\n", " mpl.ylabel('North (km)')\n", "fig.colorbar(plot, cax=mpl.axes([0.91, 0.09, 0.03, 0.85]), orientation='vertical').set_label('Depth (km)')\n", "mpl.savefig('fig/euler-solutions-low.png')\n", "mpl.savefig('fig/euler-solutions.png', dpi=600)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAgUAAAFlCAYAAAB7gJvKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsnXd4FNX6xz8z29N7TyChJZSQ0EUgoYgiVQQFpegFFQty\nUeT6UxEsXL16VeyiWECkSBdp0nsXQglJKOkhhPSym20zvz9WFiJBJTcN3M/z7PMkM+fMfM/sO7Pv\nnPOe9wiyLMs4cODAgQMHDv72iA0twIEDBw4cOHDQOHA4BQ4cOHDgwIEDwOEUOHDgwIEDBw5+w+EU\nOHDgwIEDBw4Ah1PgwIEDBw4cOPgNh1PgwIEDBw4cOABuI6dg0aJFxMbGEhsbS1RUFC+88AIAaWlp\nhIaG3tSxXnrpJSIiIhBFkQsXLtyw3Hfffcdrr7123fYtW7bQpUsX+//JycmIosgvv/xi3zZy5Ejm\nzp3L2rVreeWVV25KH8AjjzzC119/fdP1aoIsywwYMABfX98/vZaiKCJJUr3o+l+pLZvJzMykX79+\nREZGEh0dzcSJEzGZTNWWddjM9fwdbQagf//+xMTEEBMTQ79+/UhNTa22nMNmrudWsplbjdvCKcjJ\nyWHatGls2rSJY8eOkZiYyLhx42p8vMGDB7Nr1y6aNGnyh+UEQah2e/fu3Tl9+jQVFRUA7Ny5k86d\nO7Nr1y57md27dxMfH8/gwYN58803b1qjIAg3PH9tIwgC06ZNY/PmzfVyvvqgNm1GpVLx1ltvkZSU\nREJCAnq9ng8//LDasg6buXWp7efMihUrOH78OMePH2fIkCFMnz692nIOm3FQn9wWTsGlS5fQaDS4\nu7sDNuNq165djY93xx13EBISUuP6Tk5OxMTEsGfPHsB2Y7700kv2mzUpKQmAVq1a8d133zF27FjA\n9kYwaNAgRo4cSdu2bYmPj6egoACA4uJihg0bRuvWrRkwYACXL1/mSt6p3NxcBg8eTPv27YmNjWXt\n2rUAfPrpp/Y3mbVr1yKKInl5eQDExcVx+PDhv9ymvn374uHh8ZfLm81mxo8fz5QpU5Blmfj4eKZP\nn06PHj1o0qQJS5Ys4d///jcdO3akXbt2pKSk/OVj1wa1aTMBAQF07tzZfpyOHTuSkZFxU8dw2Mzf\ny2YAXF1d7X+XlJTg6+t7U/UdNtP4beZW5LZwCmJiYmjbti1NmjRh1KhRfPHFF+j1+mrLDh061N79\nd+1n0KBBtaopLi6OnTt3AnDkyBHuvfdeSktLqaysZNeuXcTFxVVb7+DBg3z00UecOnWKFi1a8Pnn\nnwPw+uuv06RJExITE5k7dy67du2ye/CTJ0/mzjvvJCEhgRUrVjBx4kRyc3Pp06cP27ZtA2Dbtm3c\ncccdbN26FYPBQFJSEp06dSIvL6/a6xEbG8usWbNq1Pby8nKGDBlCVFQUH374of1to6CggD179rBy\n5UomTJhASEgIR48eZdy4cfznP/+p0blqSl3ZjMFg4Ntvv2Xw4ME3rclhM38/m3nwwQcJCgrihx9+\nqHaI4M9w2EzjtplbEWVDC6gNBEFg7dq1nDhxgh07djB//nw+//xzjhw5cl3ZNWvW1IumuLg43njj\nDdLT0wkMDESlUtG1a1cOHDjA7t27b3izxsfHExgYCNh6LHbv3g3Ajh077GN7YWFh9OvXz15n27Zt\nzJ07F4CIiAi6d+/OwYMHGTp0KLm5uRQVFbFnzx5mz57NsmXL8PX1pWvXrgiCgJ+fH8eOHavVtvfp\n04dJkyYxceLEKttHjBgB2B6uBoOBkSNHAtChQwfWr19fqxr+jLqwGavVykMPPcRdd91F//79b1qT\nw2b+fjazdOlSAN577z3Gjh3Lxo0bb0qTw2Yat83citwWTsEVoqOjiY6O5sknn8TPz4/Tp09f1xU1\nZMgQMjMzr6sbFBTEunXrak1L9+7dOXbsGBs3bqRXr14A9OzZkx07drB7925efPHFautptVr736Io\nYrFYqi33+yUrrv3/2r/j4uJYvnw5Op2OPn36MH36dPz8/Ojbty8AeXl59O/fv9pxwyFDhtTo7SU+\nPp7169czfvx4VCqVfbtGowFAoVBc9/+N2lnX1JbNyLLMo48+iru7Ox988EGNtDhs5u9lM9cyYcKE\nGr0xO2zm1rCZW4nbwinIyckhMzOTrl27AraxNJPJRHBwsD0I5wo//fTTTR27putFubq60rZtW957\n7z2++OILwHazvvbaa+j1etq0aXNTx+vduzfz588nNjaWjIwMtm/fbu+i7tevH/PmzeNf//oXqamp\nHDhwgC+//NJeb/bs2YwfPx6lUklQUBCLFi2yXwc/Pz+OHz9eozbeiHfeeYcZM2Zw//33s3z5ctRq\nNVDza1kX1LbNPPXUU+j1en788ccaa3LYzN/HZsrKyigtLSU4OBiAZcuW2eNSbgaHzTRum7kVuS1i\nCiwWCzNmzCAyMpLY2FjGjx/P999/bw/cudno2enTpxMaGkp2djY9e/bkzjvvrJGuuLg40tPTueOO\nOwBo0qQJRqORnj172stcG937+0jfa/9/9dVXSUtLo3Xr1kyaNKnKMT766CP27t1L+/btGT58OPPm\nzcPPzw+wedOZmZn06dMHsHW56fX6mw6Q6tmzJ927d+fSpUuEhoYybdq0astd0Tt79mxiY2MZNmwY\nRqOxyr7q/q6vCOcr1KbN7N27l7lz55KcnEzHjh2JjY3l+eefr5Euh838PWympKSE4cOHEx0dTUxM\nDOvXr2f+/Pk10uWwmcZrM7cigmPp5Jozf/580tLSmDlzZkNLcXCL4LAZBzeLw2Yc1Cd10lNw7Ngx\nevToQVxcHH379iU1NZUdO3YQGBhI79696d27N7/++mtdnNqBAwcOHDhwUEPqJKYgKCiITZs24ezs\nzIYNG5g5cyYTJkxg0KBBfPXVV3VxygbD0R3l4GZx2IyDm8VhMw7qizofPti6dSuLFi1i3LhxjB07\nlqZNmxITE8M777xTJQLWgQMHDhw4cNCw1KlTUFFRwV133cU333xDSEgIarUatVrNK6+8glarvS4X\nd/PmzTl//nxdyXFwm9KsWTOH3Ti4KRw24+BmadasGefOnWtoGXWPXEeYTCZ50KBB8po1a67bl5iY\nKA8dOvS67XUop0bMnDmzoSXYaUxaXnjhBfn999+X7x85Qg4KCZHdvT3lkQ88IOfn5zeInsZkN43p\ne2psWqa98IKMgIxalFErZFSCjAL5s88+q1I2KSlJnvLcVHnUmIfkpUuXyhaLpdb1OGymehqTFovF\nInfo2EFWazUyCmQUyIJKlBVapfzAgw/IkiTJsizLkiTJa9askQcNHyIPGj5EXrVqlX1fbdKYbKYu\nqZNAQ0mSGDNmDMOGDWPIkCEAlJaW2vdv3bqVyMjIuji1gzomKSmJjz75mJe++S+rc4+QU5FPicXA\nsjUrCGoaSnl5eUNLdNAIMZvNzP36S1CKKEI9ENQKBLUSlIoqq91t27aNDl078+WhNazIP8LE6ZMZ\nMeoBx9zz2xxZlvnpp58YP+FRnn9hGqdPn+beoYM4fS4JXVwYokaFwkWLS2wQgkbByvVreGO2bYGn\nma/NYuzTE9ily2CXLoPxkx/jpRkvN3CLbl3qxClYuXIl69evZ+HChfTu3Ztnn32WH374gc6dOxMX\nF8eOHTt46aWX6uLUDuqYKdOmYvLXIQ9ojrJbGOpHOoFKhD7NMClkJk+e3NASHTRCNmzYQLmlEpep\nPXEa2wHnqT0QQ9xBkpk+4+qz4Mlnn8ZyVxOEuCaoOgZjGRXJlt3bOXDgQL3ozMrKYuyj4wkIC6ZD\nt843nezMQc0YP+FRHn7qH/yQuotP96ygY9fO7E84hFPPMGSzFXWwG03fGYD/E10Je3sASl8nZs9+\nk7y8PP77/ntonuqIU/cmOHVvgubpjsz58EPy8/Mbulm3JHUy+2DEiBH2/NPX8uSTT9bF6eqM+Pj4\nhpZgp7Fo2bd3H4pewVc3mKyITT2RLpUjtA9kw5ZNDSeuEdBYvidoXFrOpV9A3b0JgpMtHa2gEFHf\n2ZTKrFL0ZbbeJavVytnEZLRDr+brF5QK5HAPDh48aE/OU1eUl5fTqVtXCgIVWO704VJxKaMfHct3\nX8yz58+vCxrT99QQWhISElixZhXmMW1RqBTIgBToTMX283j5OFG2PgvfUdEISts7rKhW4N63OZd/\nOE5CQgK6AA8U7leD1hVuWpyDPUlKSqJHjx713p5bnVsqo+Grr76KKIr2Fbn+jJSUFBQKBY888kiN\nzvd3v1l/j8ViQaVSYdlyDuPH+zB+dgDTlweRTubC2QLk/HL8ffwaWuZ1/N5uZs2ahSiKPProozes\nM2bMGNRq9U0HFjWG7+kKjUmLh4cHlpR89PMOof/uKObjOchGC7JVQvPbLCRBEHDz8sC8KxWp0Lb6\noCzLKC7pad68eZ1rXLJkCeWuYO0SDOcKYGMK+pbuvDzr1T+s53jO/G8cOHAAsakngkph3yaEeyKV\nGilcnYhkslB2IIPcD/eS9/VhClafpnRfBgpEmjdvTllWPoaj2cgW2zCUpDdRkVNEixYt6ly7i6Cw\nZ0q82Y+Xl1ed66sJt8zaB4WFhbz//vtER0fbU2n+GS1btmTgwIEsXLiQl156iZYtW9axytubZ/75\nLCVKE4qhUaBSIB3KQi6thGGtEc4WIG+/wJxflja0zCr8kd380dzv5557jkWLFjFr1iwWLlxY1zJv\ne0pKSxE9RZyHtUE2Wij/OQmpzAgmC48/9iSFhYX07BOPUSkj5ZZTeeQoYksfNAolwS4+3HPPPXWu\n8fz581S4ilBpgeMXwdsJIv3IXpn8h/Ucz5n/jYiICITLemRZtt+TcoEeVCJ+r/Wl8D+70Jol/O9s\nQtL3x7B66cDPBaVSpGXrSNRB7lRsSKH0xxM439UCxYl8Jjz6D/z9/etcewUSP1Cz7/vhopRaVlM7\n3DI9BQsWLECv1zN69Oibqjd69GgkSbrtkibVN2VlZXzz9TcwMBKpQI+UcBEifaDCjHBZj9DKF7x0\nHD16tKGlVqGmdtOhQweaN2/O8uXLKSwsrCN1fw9OnjxJmb4c1wejseSUYrlYhusD0chGC7hrOHHq\nJNNfepHzQhHmboHgrkXsGIx0vpBBLbuzd+dulMq6f3+58847ccmphDN5YJGghTfChUI6d/nzhYoc\nz5ma07dvX5r4BKHcmoZ0qQzpQiHW1Yk4x0dgOp2HxlVD6N0tyNhyDinKF6FPc7BIWCpNaIZGYg10\nQnDXoAr3xLT5AnNeeZuP53xUb/pFsWafxkojllaVn3/+GaDK+uCbN28mNjYWDw8P1Go1TZs2vW75\n0Svla3NZ5L8jBQUFWEUZaUkC8o5UxCID8roUMFuRSw22QmoFZ86caVihv6M6u7mCwWBg/PjxODs7\n06ZNm+uGpeLj4zGZTGzevLletN6unD17FsFFTeE7u9CvT0Y6nEXp5wcQlSKUGEk6m8yq1asxFZcj\n7c+wxR0UG8AiodPp8PT0rBedAwYMoGvbWMRfLwKgKjDicrKQj96bA8D3339Px44dcXV1xdvbm0mT\nJtnrOp4zNUcURXZv28HjfUYQuL+YqAwVSrOMLjYQ4/kCTJcrSFmcQFl6MXKoO/Kyk1BqRHDXoP85\nCUGjRN0lFNRKLGYzbdq0qdcMkA6noIE4ceIEgiAQFRVl35aTk4Ovry+jR49m7NixlJWV8frrr7N0\n6dUu7KCgIFxcXEhOTqaysrIhpN8WhIaGgllCdFLjOaMPHs/eieerfRBdNZBdhpxXDhfLqv3xbUiq\ns5srLFu2jLy8PHr16sWZM2cYMmQIeXl59v1Xps3W9pKvfze8vLyQCg0otUruePse4j4fRp9v7set\niScIAp6u7igUCuRyE8qHYlB0CUV5TysUXUPYe3B/velUKBRs/Hk9LhodgiDw/Ih/kHQqkejoaL76\n6ivGjx/PyZMnuffeexk0aFCV5EeO58xfo7S0lIMHD5Kbm1tlu4eHB3Pe/4CMc6mcOHIMJJnSVYlY\nMkvx6hCEpbgSNz9nSMiF5l4QGwR6C9r4cHT9W6Bu7YfzyHYoIrzqfcaIwyloIIqKigDb+uFXGDdu\nHFOnTiU4OBg3NzeaNWsGcN0bn5ubGwDFxcX1pPb2Q6FQIGqUOPVrhqizRZCLOhVOd7WAC4XIaxJB\np0Kn0zWw0qpUZzdXiImJYcOGDWzYsIGYmBj0ej3Lly+3779iN1eO4aBmpKSkoPTWEda/Ba5hHgAo\nndREPtIRhVZFYEAgbaNao2jpi6C4+kgSo/zIzblYr1qVSiV6vR5BEJj95myCgoIA+PDDDwF49913\nWbp0KfPnz2fjxo1V6jqeM3/MB3M+ICA4kLsfGEp4i2Y8MvEfWK3Wast6+/kiuKgxpxehC3ClaUwA\n9z7VBeFiGYS4g58zsiSjauFTpZ4qypeUtPrNVOlwChoIDw/bw+TaJEiTJk1i4MCBvPrqq3z44Ycc\nOXIE4Lr5qVfqXDmGg5qhUauRrVeTyFgL9FhSC0EA7mkJBjP9+vVrOIHVUJ3dXOHaBFqtWrUCIDs7\n277NYTe1g7+/P5hkBMXVLl3ZKlFyLh/JZCE6Opr77xuOorDqG7acryc4JKS+5VZrM6mpqQiCQLdu\n3ezbFApFlXoOe6keWZaZP38+L82cQeXwVpQPa4bp4bYs27aOOR/OqbbO81OmorpUiahVYi42oHVW\n0bZfBOHR/pBVCgYLuKgxnyuoUk+ZXk6n9rH10Sw7olCzT2PllnEKoqOjkWW5ypj1lWGChQsXYrVa\n7WN812Y/y87Opry8nJYtWzoWYPofGT9qDIZNZ7EU6SlffZriOXuoTCsCiwzrk/Hx9q238d+/SnV2\nc4VrtyUlJQEQcs2P0JX9sbH1+5C53bjnnnvQSAoy1qegzyvHWGxg93PrSFmbhKK5N3O/+Yr0zExc\niyTkg5nIJZVIqYWod2by2it/PB2wLqjOZiIiIpBluUoSpWvfch3PmepJSUmhWWRLHpvyFJVYkNcm\nIRfoETRKKmN9+eq7b6qtF9myFaZiA4owDy4fzeHMjjQupxdz3//1RHkuH2HxcVx8najcfBbDlnOY\nz+ZjXpuCy2UrEydMrOdW3l7cMk7B4MGDAdi5c6d9W0BAAGDr2hszZgzz58+/rt6V8gMHDqwHlbc3\nn3zyCb4uHpS8vRPjiVwY1R4GR8G4WPB3obC48UXpV2c3V0hISOCee+7h7rvvJiEhAWdnZ+6//377\n/p07d6LRaLjrrrvqTe/tiEKhQJYkzJVm9vzzZ3Y/vx5rqAduU3vgOr4jmildmfPZR8z74ksGBnTA\nZc0FWpwX+O6zrxg1alS9663OZqZMmQLACy+8wAMPPMD48eMZMGCAfb/jOXM9sixz79BBZIaA/Ggs\nyn90QuwUjLQuyf7iVl36almWeea5Z3GdEIv3091QRPlitkh8Om4ly2bvQjJLtHwxjlYv9Sbq9X6o\nCyrQL05gYrdhHDt8tN5fTBzDBw3EuHHjcHZ2ZvHixfZt8+bNIzIyklOnTlFRUcETTzxxXb3Fixej\nUCh4/PHH61PubYnFYqHwcgE08YD2gaD5bZqYQoTYYCRkcnJyGlbk76jObq4kD3nggQcICAhg7969\nREVFsWrVKvz8bMmXjh49yrlz5xgxYkSjTTJyq5CcnEylxYzgpkU7sh2WCiPa+HD7ftFFgxjjz+df\nfM6qZSsozMsn8fjJOs0i+EdUZzMTJ05kwYIFREdHs2HDBtatW2ePYQLHc6Y6EhMTyc2/DNH+9ntO\nbOMPgoCcXYr22GUmjrs+gVhlZSVZqRloonwRBAGp3ITH0CiC3rqbsmB31L7OuPwWS6ALdqfF8z1R\nOqtx1urs92994nAKGggvLy+ee+45Tp06ZQ8k7NGjB4mJiVRUVLB69Wref/99JEli5cqVgK3rasOG\nDYwZM8aRUKQWkCQJySqBWgmm3wUImW3//36ctaGpzm5mzpyJ1Wpl0aJFfPfdd5SXl3P69Okq8RAf\nfPABKpXquimuDm6er7/7FsliQfTUUbkhBQQBa4G+Shm5wsSRX39tIIVVqc5mwJbl8siRI5SVlZGf\nn8/nn38OOJ4zN4tglVBtOMewHncxderU6/ZrtVqc3F0xp9sCNo3JlynbfoHMFzagT8jFVKRHvmYR\nLdkiYTWY2bC1YVKs325OgSA3ouXHBEFwrIbWyGkR1YpzUoEt2OfeVuDjDGVGWHsGKkxYTRbEerZ4\nh900Xg4ePEifgf0RJ8QgumiQZZnKlaexpBXi9tQdCK4azImXqFhxCj8vXy5l1U9Pk8Nm6h5Zlmke\n1ZKMYCDall1QTryM16kSjh44bJvmXA2SJOHu7YleMKEO98J8toCQp7uha+pJ6ZEsLi44hkenYMLG\ndwBZJmvpSUrPFdCjdSe2bdxSZ+2pzmYEQWCDZ80cwQFFKY3SBm+ZNMcOGgeTJj7OtP+bDoIAq0/b\nhg4kGWTAKmMwGHB2dm5omQ4aCctXrkBq54PSRQPYHqLquHDMZ/IoeX8PyDKChxZNoCcPD7+5rJMO\nGjeCILB+zc/cM3gg+adtQZseTq5s2LTlhg4BQElJCUajETQCprMFBD3SAedIX1v9Hk0xpBZRvCeN\n4kNZIIC6tT8aq4KnH2uYBfca81t/TXA4BQ7+MuXl5Sxcsgh0KoQgN+SMYvDUgckCTmrILcfJyamh\nZTpoRLi6uKAw/e5tqNJim5NltkKAC04mBe1DI3l95msNI9JBndGqVSsuJJ8lISEBWZZp3779n/Yk\nurm5IYvg1KcZlfvSUftWfcnQBLoiIKDRalC5O2FJLWPaC9MZPnx4XTblhtxuTsFt1hwHdcms11/j\nRFE6qomdUQ2MRDWxMxjM4KKBvs3AItVrelEHjZ+xY8ZiScjFcr4AWZaRyoxUbkxB3dIHRBHhUgXb\nft7E3h27cHFxaWi5DuoAQRCIiYkhIiKCvXv3kpmZ+YflCwsLQZLR9WiKqoUPRbtS7ftki0TR9gt4\ne3qSlZ7J/l92cin7IjNfmdFgz57bLaagEUtz0Nj49vv5iJ2C7TefoFKg6BgMeeVQoEfj5Jif7aAq\n4eHhvPXGbPSLEyh/eycVH+9D3dwLt0c64tQ3ApQi4eHhf34gB7c073/wPgEhQQweO5KWbSIZOfpB\nzGZztWXVajUiAqaky8iyTMn+DFJnb+fSspOkztyCU5ArZh8FX371Ja1bt3Y4k7WMwylw8JfIzc2l\nqLgI9FVvZLnCBGYJ1ifz7JNPN5A6B42ZDh06gELAeXgbvF+/C5chrRFEAWWoB6JC4ZjyeZuzf/9+\nZrzxGpVDWlIyoCmVD7Rm3aEd/Oed/1Rb3t3dHb/AAMqWncRaYUK2SLiFuOPsrKb5Ix1p/XxPQu6L\nYvHyJfXckuq5Mt3yZj+NFYdT4OAv8dqbbyAGuWHZk4Z0ucLWFZxehHQkG4LcQKPEw92R3tXB9Tw+\n6QlEFzWWswUI6qtTVo2Hswjw9m1001gd1C7f/7AQQwsPcLMFm6JSYIj24esF31Vb/vDhwxSVleDx\nfA8siXkoNQq0Qa6E3d8Wj+gABEHAojfj5NQ4ApodwwcO/pZs3rYFZc+mKLuEYFl5CvPH+7BsOmub\nedDKF9r6s2zlioaW6aARcj4jFY+HYzFnFFHy9WEMu1IpnnsQY2IeeseKgrc9oigi8LtgU5kbvi3v\n2rULWnlSeSgLWQKLRSZrdSLlF2wZUysvlZPxQwKTn2gcPZO3m1PgmH3g4C8RHBxMRn4Oqg7BKGOD\nwGTFtPMC0rkCyLIlGWnVzpG4xcH1yMiIWhU+/4rHcDADS04pAoDVin+Af0PLc1DHjBszlm8Xzkcf\n4QUeWjBZcTqRz+NPPFdteVdXVyrTC7EeLkfo1wwivLCeyePE61sRFSKyVSI8tCmjRzeOKayN+Qe+\nJtxmzbm1KSgoYOHChSxfvhy9Xv/nFeqR1i1aYd56HmvyZSg3YT19CelELlSYICkPki7zhCPFa72i\n1+v58ssvGT/xUd57/z37kr3nzp1j0aJFHDx4sFEkR1HIIiUrToIAznEROPduhjm1CAQBb3dPNm3a\nxONPPsEL/5pOSkpKQ8u9ZTl9+jS9+sWj0qgJCA3io48/uu77X7t2Lb36xdE6pg3/9/JLlJaW2hd6\n+uijj1i3bt0NlzOuKV26dOGdN99Ct+4cbutS0f6YyPBedzPt+eerLV9WVob1Ujn4OiM087alR27t\nj/RQDJZKC4JKwGgwMvLhUUx/8V+kp6fXqt6bpbZ6Co4dO0aPHj2Ii4ujb9++pKamVtn/wQcf0Lt3\nb3r37k1ERATTpk2rk/Y4MhrWASaTiY0bN5Kbm0vv3r1p0aLFH5aXJIkZM2bwznvvogjxQCUoURRW\nsmXTL3Tq1KmeVP8x7TrFkOJSiuVCIVKhHkWQG4owT0wnL0KRASwSmzZuon///vWu7Xaxm5uhvLyc\nzt27kiuUYW7hhjJTj+6ikf59+7Ns5XLUTb2xXiqlXavWbF6/qUETSmlcdQj+Tphzy1B4OWEt1OPU\nLgB9Yh6iGbTuzhhauaM0ySgS81m++Mcqiw3VBbebzRQWFtIssgVyn1A0XYKx5lVgXpLIW/96jaee\ntCX1+fbbb3nu5WkEj4pC46Xj8pY0vCpciAhvxpbd2xFbeiNklxPk4s3eHbtrfQno8vJyEhMTCQsL\nsy9mVx1vv/02r3zxH6yAODjKvl02W5G/PITCWY3g44S2Wxji5UrkXy+xa9sOYmJialXv77lRRsMD\nEa1qdLxuF5KrHO/SpUu4uLjg7OzMhg0bWLx4MQsWLKi27sCBA5k5cyZdunSp0bn/CIdTUMtkZmZy\nZ1xPylRmZE8tpqQ8nv/nc7wxq/rELLIsM/T+4axd+xPc1wbht0Qd8tl8mqZKXEg51+CRqlarFWdP\nN4hvgrpjsH278UAGptQi25TEIgPZ2dkEBQXVu75b3W4OHTrEM1Mn8+uhowSFBjPz5VeZMGHCH9aZ\nOWsW7yz7AucJHe32YViThOnXHIRHYhG0SmRJRrnxPJOHjOPtf79VH025jqKiInxDAvB9pAPaCC8s\nxQbUQW6Z7aLCAAAgAElEQVQYki6Tt/g41lIj6ie6Ivy2uJaUWoj/0VIyzqfVqd3f6jZz6tQpFi3+\nAUmSGD3qIfbs2cOMhe+jGdvOXsZ0oRDn1RlknEtDlmWCmgQT/GQ73FvaFhOSZZmEf23FUGHC6blu\nCCoFsixjWnaGiT2G8/67/22Qtq1du5Yhw4cCAsLwNgh+Lrbv6lAmuqxSLFolbpO7I4i/2f2edLqU\n+7N1w+Y61VXXTsG1bN26lUWLFvH1119fty8vL4/4+HgSExNrdN4/wzF8UMs8NeUZCiPU8Eg7hKEt\nUD3diQ8+nkNCQkK15Xfs2MHm7VvA38XuEADQ3JtL+ZdJS0urH+F/wMGDB1Hq1Jh2XsCaVYIsy1jS\nizHtSYPWfqCymVFj0HqrkZGRQb+776IwSE+7Z7sR8HAzps96kaVLl1ZbPjs7my+++IL/zPkvytjA\nKj+cymg/LCoQtLYfWEEUMMf4sXT5snppS3WsWLECjZeOkq3nUbhr0YZ7IagUlOy4gCTJKJp42h0C\nAKGpJ3mX8igqKmowzY2deV/Po3uPbuw4s4Zj+Vvp0z+edevXYfZQVSmn8HGi8HIBGzduZOCwweRm\nXcStubd9vyAI6CLcsPprEVQK+zaxWxCrf15Tr226lplvvIYYHYjg7YS88jTSspPI3x+Dk5fwjfJF\n1cbf7hAAqNv6cfTw0QbT+1eHC45V6plXlG//3IiKigpmzJjBCy+8UO3+JUuW8OCDD9ZVcxyBhrXN\nLxs2oZ3W3f6/6KLB2saH9evX0759++vK79mzB1OgE+SWIcvy1Ye8RUIyWxpFYg5ZllFo1SiDndAv\n+NWWnlalAF9nyLclLkIl0rx584aW2ugoKytjyZIlnD9/nh49ejBgwIAqU/A+/OgjjIKZjL3piKe1\nmNOLCerRhH9Om8pb77+Lv68f7SJbs3X3DvLy8rh0MRd1sAcmqxkxuxSu6bmxZJUiqH53SxstOLs0\n3NBBRUUFzuEeVGSWkPr8OkSdCklvRgbkCiNKUVXV7osrUalUuLq6NpjmxszWrVt54ukn0fk5k7Av\nA3dPHQ+/1Yuvp2xG4apDuqs54m9OoX5PGpUWM0MfGI7YNxyFTkXBsRx8frMZyWzl8tEsFM19q5xD\nKq7E29v7unPXF6cTExG6BkJeBZp/dseyOw35XCGSyUL2oUyEYHec+l191lgyimkS3uQvHz8pKYln\npk5h3+49+AT48eqLLzNx4sQa6/2rgYadXZzo7HI1Dfy8ooLrypjNZkaNGsWLL75IZGRktcdZtGgR\nP/zwQ420/hUcTsFNcOrUKXbt2kVoaCgDBgxAqbRdPpPJxBuz3+Tr+d9ikizIm8/hNDASQWmzFrHc\ngqenZ7XHDA0NRbxsQNKb4Gg2ckwQWCXYnUafPn3w9fWttl590rVrV6ylBqwmGWWnECwJOQhtA5BF\nAY5kgwAuzi4NspZ5YyYzM5POd3Sl3FWgwlXk04Vf07VtLBt/Xo9SqUSWZX74cRG09kPbvwWCIKDM\nryBr7kEUYR4UNbNwpvQCmz/bAq19EWI9kaylGCqNKANcMOxLR3BVo27jjyWtiIp1SagUSqSsEsQQ\nd+SSSjQHcpk66+0GuwaDBg3iuenPIysEBJUCbd9miM5q9FvPYak04SSoKVmXhKJzKBjMWLadx93J\n1X5v/R2xWCwsXryYVT+vISggkKcnPUVUVBQGg4H7Rg4n+KmuuLYPRJZkCn4+w9rPjhDczJfmYe3Y\n8+5+rFEeWHLLMOeUoRvRBuPuVOSsEkS1gjOfHCC4f3O0fi7kbD6LKAoYjmejbOePurUf1uxS5E2p\nvPjxlw3WfhdXF4ozilFGByCdzkORWULLZ+5A4+dMzrokcracp2zFKbSdQ7DmllO++jTWZn9t5lNR\nURHde/WgJNINRrchu9jAP1+ZjiAIfzpkdyNqa/aBJEmMGTOGYcOGMWTIkGrLpKSkIAgCzZo1q52T\nVoMjpuAvIMsyT01+hm8XfIfspUNlAT8nD/bv3ou/vz8jRj3AhmO7MXUJAASsu1NROKlwfigG84lc\nTD8ncynrYrWZ29LT02naPALV6PZYdqciZ5UCtq7fC8nnaNq0af02thosFgtuXh4IY9qi/+4owvC2\nCJ46AORyE/LCYyBLmAwmVCrVnxyt9mmsdvPw+LH8mLgTaxfbm5lslXDZkMpnb77Hjr27+GHBQoxG\nI8ooP7SDIhGd1ZhTLlO56Szaxzrb356taUUYNySjGBOLbJGQvj0CFgllkBsKbycsGcUoA1xRBrsR\nmqOiIL+AsopyFAhMmzaNma+82qBxKaJOhSAKuD19B8pAV/u1KHx9K0KlFaGtH1J6MaiVKNoHoDtZ\nyLolq+jZs2edaWqsNiPLMgOGDGT/mWOY2nohlpkRfs1l7co1XLp0icdenkzYq/FXy1skzk1Zi06t\n4fjRE6xdu5bpM19G6NMEdVt/BLUSqcxI2Zw9KJQink29kAXQejvh1yGIoB5N2D99E6UXy7FWmvAO\n8OONV19j0hNPNNg1GDVqFEvXrkTZLgD5bD5tp/XEtdnVnovjL2/CiICkN6Pw0KKLj8C6PJk9v2yv\ntjf2Wj799FOmf/E2xj5h9m1ydgmhJwykpZz/w7o3iik4HlWzmIKYM1VjCpYvX86jjz5qDy5v164d\nEyZMYPPmzfaZBjNnzsTPz4+nn667HA114o4fO3aMyZMno1AoUCqVzJs3j/DwcCZPnkxCQgLu7u4s\nWLDghm/PjY1Nmzbx5TfzkNQiqMCUV0K6xcRz06fxn9lvsW79OqyPxiBeGZcb2hrz5wcombUFwUOH\ni06HyWSq9tjZ2dm4BftiDHBFPTIa2WQFAZzWnOfixYuNwinQ6/VYTGaUVhmc1HaHAEBwUSN76SCv\nAkmSGlBl42Pjxk1YYj3BaEHQKBEUIuWhTrzy2quU+gp4vhaPoBQp/TkJw+IEnCZ0QsqrQAzzqPIj\nLoZ5QKHB1s2uFMHPBSot6DoE4xQXjvFkLrLZiirUnYtzT1CQm0deXh5eXl5oNJoGvAK2NzPZbEXQ\nKO0OAYCgEFGFeWBJKURs6YtUaEAurkRKL0Z2VpOdnd2AqhuOnTt3su/YYZjQHvVvPY1mPx1DRt6H\nSW/AKkukv7GNgH90QhPshizLWC0SPfr0IDw8HE9PT5ya+SJ1uDqsJDirAQFVhDclFwrp+d4AnANc\nqSw0IBmtBPUOx/jjaRJSzhIREdHggc2BgYEoRAHLr9lglXEKca+y37WFD+a8ClTNvDAmXaZ00XHk\nchOjx4/hh28XEBsbe8NjZ2VlYXAWqgbTeejIv1TzaY211VMwYsQIRowYcd32ax2d116r+5VE6yTQ\nMCgoiE2bNrFz507bm8rMmWzatAmDwcCuXbt44IEHeOedd+ri1LVCaWkpK1as4KeffqKyspJXZ81E\nCnRBeDgG8Z6WCGNikYxm1qxeTXZ2Nio3Z+SSSmSL7UdRUCnAQ4ugFBHKjEguEBbRhKcmP3Wdp9mi\nRQtMBWXIv60pIKgVYLZSebn0T6cy1heurq6EhjdBulwO5SbkyqvrH8gWCUqNoFY0+A9QY+K5adMo\nLCyA/ekw/1fkDUm2775AT3ZmFrqH2qBw1yI6q3Ef2Q4qTFhzSpHNVqRzBcjXOFjShULbnG1BQDaY\nIbcchZMKw5Es8mb8QtnOVMqPZJP/3914e3uhUCgIDAxsFN/HlaW0BbUCc0axfbtstmJOLUKjUWH+\nKRGxtR/K+9qAjxPlqZcaje3XN4cPH8YU6mwfegRQtvKlvKCEQQvvZ/iy0UQOaEnmB3uQTFby1yQi\niiIrflwFQFxcHJUpeUhlRnt9y5k8RCcVYhtfECBz+wW2TV7Ltik/s2nCClLXp2A22oY4G9ohANt0\nO0mSoXMIolZJ3q40+z5rpYWCA5kYT+ZiSivCWqBH6N0MxYROJHsb6NUnnqysrBseu1+/fjilVyBb\nruZiEJLy6RUXV2O9joyGfwF//6tZytRqNUqlkp07dzJ48GAABg8ezOeff14Xp/6f+eWXXxj+wAgU\nAW5glRCLjVglK0KfUHvEq6BRQtsA5FMFfPLFp5TnFaBYr8eiNyH2ikAMdIUCA9pAV7q8eRdqNy3m\nciOLZ/5It87dGDdunP18vr6+THriCeYtWUBlrC1+QHvsMo9NmoSPj0+DXIPfIwgCX3/+JYOGDcHk\nrkVecwbubAKigHzQtgxqcHDwnxzl9iY5OZmxj47j5JlEtBotxcVFqCd0QvTQIVeYMC1OQF51GgoN\nKJ21iNdG3IsCgpMK/TdHQCEgyGBccAxl5xDkYgPmfRkIzb2REi4iHs8FixXN5QqMVhll/+YoW9vu\nNymvnOzFpygpKcHd3f1GUusVjUZDYHAgBdZyyr49iq53BIKTCsOOC8gWicDwENKbgBhpi0dRdA5F\nUW5h9ZrVdOzYsYHV1z0XL17k9Tde52TiKdpFtWXbju2YMnIwn89H2coXTa+mWC+VowtwQaVTA9D8\n3lacW5fMuefW4eKpxcvDA63WtkKpi4sLTz4xic/nzkVo64fCKCGdyaNjdHvUeRpiH3mcT+Z+htvD\nsXjFBCJXWij9/hjBTt6NZmGqvn37EuTjT/apXASrTMaSBCrO5aP2cyF/TzoWvQl1tD/WQgNiXDhi\nE1s+BSE6AEuJmS/nfcXrN5gC3qdPHwb26c+6Fb9gCHNGVyGhLTDx0Z45NdbbmH/ga0KdRvNcmVrx\n9ddfM2fOHHsyDHd390Y55chgMDBi1ANU9m+K+FuXlZR8GeuWc1Bp5lofWjaY8ffx5ad9m4icMxil\nixpDRjEX3tqB2SKhdFETcV8b1G62m1XloiHs/ii++f5bxo4da/fIy8rKeOwfE4lp155vFs5HFAQe\nf/dVRo0aVd/N/0Pi4+PZt2sP7WPag7sWebct25bQ0hdZhHv61n/SosbCpUuXaBsbjapbCNoJMViy\nSxHWlCCXGsFDh+CsRhkXjnlDMm7hfpgvllL8/h4ESUZs4Y26nT/WS+UM+3gw2UezKTmWTce+4Zw4\nkI1arSBFraJ3i644u7gwbvoYduzcQdrlXfy04jhC1NXgTtHPBU2YDzt37rxhoFJDcHef/nz3wwIQ\nBCrWJyM4qxBdNCDLVBorEXyrRrpLPjqSz51tILX1x4kTJ+h8Z1ckQUbr68y+ffsQtEpcH2qP6KrB\nsDOViq8OI1UY6fJk1yp1VToVbq5qnHUqii/pmTp1KkePHiLhxAmcnDQEenvTr3U/2rRpw6hRo/Dz\n86OsrIzFixfj1joYbawtn4igU+E6Kpqct3YjSRJiI/iFEwSBSY89wasfv41wdzjWdcnoU4uoTC+m\nMr8cRBFtxxDKV5yqMpQJYHJVkpZx46EAQRBYsnARO3bsYPv27YSEhDBq1Cjc3Nzqulm3DHXmFFw7\ntSIqKgovLy97GtaSkpIbxhPMmjXL/nd8fDzx8fF1JfE69u/fj+ihszsEAEJLH9hxAfakI3s5Ibhp\nkXNKUZ0pwOzvh8+DbVC62Dx4XZgH3n2bYUgtojKj+LqhAlmW2bd/H0qlki53dKV5swhWr16Ds5cz\nhhIDb7z+Bs8+82y9tfdm+fXXX21TEStMoBDBSYUQ7Ibg5cSBo4fqTceOHTvYsWNHlW0NaTcvTH8B\nsaU3LkNbA6AK9UBQilTsS0cR9ltWOFEAGcjTIwhWBjzYBu9gNw6sTOTMR/tRqUU8m3qy991dTHqj\nNy1iAxjwiC1D27IPDtBEE8bHH30CwKFDBwEBySKhMFtBbbuNZVlGqjDVeia6/wVJkli+ZhUKfxcU\nblosWSXIBgtWowWUIl06dWbd+aO2OAlsbdClV9BvZJ9a1dHYbAZg5EMP4hLlQ+Q/70RUilTmV3D8\npV8Q3bWoQj1QjvWg8N87UKkUmEqNZO1Lx1xhRuOhpTStiE93jcfJRc3hX87z5UufE9enDYeT3sLZ\nRcPGtcd4ccpS3n33XYqLi+nRO45D+w8gWSU07atmExQ1SixmS6NxCo4fP87M2a8jxgQgpeRDW3/K\nKy1I6UVgkfDz98OQVoKymTfmM3koeoYDtuBVp9RyBk7642yYgiDY0wX/EdXZTHWIYsMPudQmdTL7\nQJIkRo8eTf/+/e3TPDZu3MiqVauYO3cuixYt4tSpU/z73/+uKqaBI4IPHjzIXfcNxPBgpP1NXrZK\nWL48hNDWH/nUJVtBq8zyxUt57sVpqMY0wyn8ardb3k9nKE+8hOFCEWovHV3euAuNpw5TSSWHZ2xG\nHeGJ/lwh5mIDLp46hrw/EGdfZ0qyStjyf9v48ftl9OlTuw/E2uLuAfew+dQBFIMiQatEPleAdes5\niA6gZZkLyafPNIiuhrab9h1judDUjK5XuH2bJa+c4s8OoHmiK7LJimlpAnJeBRHhYcQ/25pWd4QC\nth/BLx77ieK8CrpN6c7hzw8y+d1+RLS92gOw6tPDrP8mgUfH/YP33nuPrKws7ujehSatvUkqNSDH\nR4BKRDqURdBFgfNJZxvFwx1sc6rHPvsYgkpEUIq4DG0DCoHyn5Ow5pSRmnSWTt26YPDTYPBS4ZSp\np5lnEPt37UGn0/35CWpIQ9sMgNpFQ9tZfXEOu+rEpS1JoLDUiPNv6X1LFx7DeCwHrVpJ8yh/vP1c\nObDjHAgyL349mJYdApGsEv+I+Yojye/g43f1jXfi6C958P6nef2t2WT6WJA7BCKXGJCWnMBzWi+U\n/rZMgfr1ybglVZCT3vDBnbIs06J1Sy6kpSJ6O6PuFIz5SDYUV2K1SgiuGqRSI6IgoOkcQuWJHPDQ\nQYArTpl6urXrYJ/yW9vcaPZBcqeoG9T4Y1odOdPgNlgddfLkWLlyJevXr2fhwoX07t2bKVOmcPfd\nd6NSqejVqxeLFy++YbamhqRLly74unkhHMlBtkrIZivWnakIAa6o4iJQPdEV5ZhYMFsZNmwYY0Y9\nTPHPZ5F+CzA0Fxoo2HoOKauC/5v2L6QSM3ueWsOeZ35iz9NrcOkQRMiEzrR4/S5UKgVdH+uM829Z\nDN1D3Im8vxXzvv2qIS/BH7Jz9y4Ud7VA0Klsmc9a+CCEuMPRHDw9bo2ZJHVBt05dqPw1u8oNbjyZ\ni2wwY1p4DOOn+5GLKkEhkpWZQ9Nr3tQEQSA8NgCrWcJYbqRJr3BWfnwIs8kWCJWfU8YvC0+g89Ky\nfPOPRLZphY+PD6+8MpOUYzlYzxdQ+fE+jB/spYsijJ1btjcahwBg4cKFKLydsBYY8Hj6DtQtfVA3\n88bzyW4gy0iSRPLpM8wa9yzjm8fzyYy3ObhnX506BI0FpVJlD06+gmSWbL1wgGyyYknJRykITH31\nHhb/8jSfLBzHyl3PolQqWP6hrXfOapWQJBkn56qBpaIocfDgQS6XFSF3DrIFPmuUKEUB/Uf7sHz7\nK6YP9+OdWoqhrJyMjIz6afgfkJGRQUZaOqK7DtenuqGK8EYurUSSZdSj26N9vAu6qXcitvDGL1eg\nZVgz7ghtw5MdB7P0y/n8sn5jvee4EEShRp/GSp1cvRtNrfjkk0/q4nS1hiAIbNu0mQfHPMSxr47a\nphEqRZSjbd24glJEulBIy7ZRKBQKZrz8CsdOHGfntF8QvbXoMwoJDQtj4bcL6NGjBy+++CJvvPEG\n77z7DpEfD0blaosvENQKRK0Spabq5VeoFRhvMHWxMWA2mhC1iqobNUrwc0ZuvDZe57zzzjt8teAb\nSj4/iKZDEJbMEoxHs3Ef1hpzRjHq7mGY88qp2JdB6/atSdqbQfu7bMlHJKtE0p5MKkuNHJxzCKWz\nEmOZgafv/Aa/EDdy00roMKQVga18+OXTQ5RaKwiNaAJWC0OfjCWirR9FeRUs/+Aoz02eQlhY2J+o\nrV88PDwwZ5cgeGgwXyjCeCYP0UWNrmsooo8TFy5coG/fvkx7vm5WfGvMPPzgQyz9bhVt/hWH0llN\n+YVCcrecQ90hCMPuNCr3pqHUKDBXmBj5yNWYgrAIH3r0bcne7WexWiTWzz+Bzl3LnHfW8X+z7kMQ\nBFLO5LB9y0nU6hQEL5erPZ/lJkKa+rFh88vs352Ep7cL3e5syaA+/yEjI6PB7ae4uBiLxYqmfSCC\nQsSSXoTO3xWDyYJ5XRKm4krEMA+UXUK5uPIMlXpDg8+YaMw/8DXh75s27AY0adKEA7v3UlhYyGtv\nvM5n332F5ccTiC19kEsqEbLL+PHQEQC0Wi3r1/xMcnIy6enpxMbGVslAeGXFK0GnwlJYaXcKZFnG\nZDBz9PtjBLUPRKlVYiw3krwqhSnvTm2Qdv8ZlZWVyKKA9WAmil7htq600krk8wWgVdIq4u+b4tjd\n3Z3v5n7No49PQG+ygEJElmQsWaXo2gVQeeYy+hO5aH3d+ce4icyY+TKXzhfiE+bOwZVnKM4t5+ef\n1hETE8P27dt5+JGxKKJ8qdSbmLb2IZzcbXbj7KFl6exdGEQJ0Whh2+pkvPyduXNwS3TOat5+dzb3\n3XdfA1+NqrRp0waWL0E2S5StSUQVE4i5yIDh3V3IRsufJpu5nfnsk09J6JXAoUmrUXposZQabcOV\nJ3NR55bjG+bO5dQiBEGgrMSAl8/VlOd5uaVYzBJPdPsGnNUwJJJv525j/U9H8fNz4/jRdGRZQq21\nos+4jPWACkW7AARvJy5m5lNUWM7AYbYkOWmpeVw4m0N0dHRDXQo7Z86cQeuuRb5YBoDorsWQWwoq\nBX6PdUEd4kbFoSwKV51G1UiW7hEUDqfgtiMtLY1Nmzbh6enJ4MGD0el0eHl58f5/38PH25v35syh\n4vRl2raPZsmGRbRqVTWDVatWra7bdoXY2FjUWi3pn+wjcFR7VB468jelIOnNlGSX8sPoJXi38Oby\nmcuolCri/of5snXJokWLkK1WOFeAJaMEwVWNnFkCAlBusk+J+ruQl5fHzp078fX1pVevXkiShKur\nGyU5JbagQknChIxxTzqCtxPaMTHIC05y//3307dvXz7+9CNObz/N4F4jeX376/bgwP2HDuIS3wwL\nEm1CXOwOAYBPmDvmMiPq3s1QtQugNK+ceW/vQ1SING3tS3bWrw11OW7Itr07wSIjOClwmtjZlocD\nMIe6U/nTmUYz7bY+KCsr4/Dhw/j7+9OmTRsyMzN58vFJvPfeeySmpYBGgajWgN6EIb8CoyyjsAi0\njmnHK88s581PRuDqrmPZdwc5c+IiSxb9iLe3N+MnPkLq98dQKARyc4vR6yv5aOlYmrXyY9EX+/j+\ni32Qchnr0WyUOjUiSob1f5ux/4hDEAR++G43b77570YRgX/+/HmM5UZUF0sxbEhG1T4QWQbfcR3Q\n/ba6o1t8BMYLhbQw+jR4LwE4egpuOz6Y8wEvvToDZXMfFHoLqimT2b19J5GRkbYhgldmMOOVGTU+\n/r333kts63YcO5dI9tITyBUmBCcVKh9nop+5A42XjorsUpo93oWMxYksXryYZ555phZbWDus27Ae\novwQ4sIhuxQMZgj3hOMXodhASEhIQ0usN76Y+wXPvTANp5Z+WAv1mAor0Bsr0Y5sh1OQG9aUyxg3\nJGNNK0bVKxwEUGxMZfjIkQQFBREUFMTnn35R7bHTszKQfbQotSpObz9H74kdEUUBk8HMjzO3o2zp\ng6a7bfEX0VWD5e6WrPjyV+7oG0GvXo3PodRqtCAIKKP87A4BgDLKD5afajQR73XNgu8X8NTkp3EP\n86IirwyVQklRUQkSEpq2/ih8nJFKjXhNuRPJYKJ8YQLBGh++XT2PLl268MzkJ7kn9r9YrFaCgvxZ\nsWwV9957L4sXL6awvBiNs5qpXw3mi8kb+HDROMIivHjv5Q1sXJGAVZJxivBCE+5F+b502oZF8umc\nT/jxxyXIMqz96eVGkxPC09MT92APDMV6nPIrKPv+GLJFQuVXdWE4VZAbHbwbh2ZHT8FtRFpaGi+9\nOgN5TFssblosgP7XHMZPfJSDe/bXyjkUCgXbN2/lm2++YdXPa9i+dRsu49qiX3CMozO3oPNxImxI\nFD4dglD6asi5mFMr561t1BoNgqfO5plfmbKZX4FslkCp4PHHH29YgfVEWloaz02fhtPUbih9nVHI\nMqa1ZxCTLqNoagu2VLYNwHKxDOvJS5hWJ/L/7J13eBTl9sc/M7N903snCS30jvTeFARRlCKKogKi\n2BtWxI6A4lUEBRSQrkivAqF3CKGThDQS0nuyfeb3x3KD0cvFiyQb9fd5nn2eZDP7zpnJ7Mx5z3vO\n94SHhvHSs28wceLEm44/qN+dxH42BfrWoTi3gu8mbaJpz0j2fheHVqtGbFh1Zi36GclJKebgmjT2\n7/3P7ZZdSYCXL2gk5NyyKt0Q5ZwyRK3qH+EQJCcnM/GZp2j0djeM4Z4osszFr4+gHCvC/+0+Ts0G\noHTjefI+jkUtSrRr3Zb1q9dWlm7P+/Y7vvpyDlartUoHyS/mfIm+ngdNAgIJi/GlOL+C0DrezJ+x\nm/JME927NeaQ3obnXc5Ipkefelz4ZB/Jycl8+umMmj8ZN6Fbt26UvFCMoBYpSSnEo54viiBQtj8V\n73ubAE41TPuRLAb/a5CLrf178vf/Rv4Xtm3bhrqeH4LH9RCt2CKI40eOYTabb9t+dDodEydOZO2P\nP4MC5T/E0WXCHYzbPIZB7/cl65dErmy9RO7+K/Tp3ee27fd2MnTwEKQL+SiO69nSyrkcsNjA6uD8\nedeUI9Y069evR9s8GNW1qhFBEDD2a4CcUVKl+kDyMyJIAm+8+CqpCZcre4HcjNGjR9PYLwrbynNo\nvPX4dohg/6pzdO5Rnzc/HozmUl6VjHV7fBZNGjfl3JkLtaJPxm9Zv2Uj2B0oFTYsmy7iyCnDnpCH\nafkpunbs4mrzaoTVq1fjd0cYxnCnMy2IIlEjm6PY5EqHAMDYoy6K2U6gfyD7du35nZaLVqv9XUvp\n8vIyRLWEKAoIgkCjO8JYv+wEG1fEMXPqCI6cTMbQ7noUTxAF1K2D2LUntvoO+E8w4/MZqN01SNfa\nPwBDPAQAACAASURBVBtCPWj05B1OSe8vD1Kw+gwZb/1Cz3ZdGDSodjgFoijc0qu28o92Cjw9PXGU\nmKq+WWFDrVFXS1mLwWAgLDyMqDvCaTywISqNCv/6fvR8rjOXl8VjLjWRmJiILMukp6ezfPly9u3b\nVytqWe+77z7qBoShLD6JvDMJedVpuJALiuKskf+HNEMyGo0IFkeV9xSTDaTrNcyKQ8Z+IgOVp/F/\nlo7VarXs2bGL72d9g1xow+BvxM3bwOAHWtGtX0NaNQlG+f44ltjLmJbGoY3PZ/XKH2uNrPGvURSF\ngoICtK1CkMssyDllmBafwLT6DEqFjZkzat9MtTpQqVQ4bL+5ZhwKv10OdxSbEXQqfH3/+DUz4r7h\n2HPMHN2cyJVL+Qx9qSPfzIylpNiE0aAlPMwH65XiKp+Rr5RSL7r6Wu/+GX5cs5qAznXo9PUQ2k2/\nk6w9KaSvv0CDsW3RCgJl2y+z4LM5rFm1utZEmf5uJYm146y6ALvdzuxv5mBKz8e6LwX72Wwcl3IR\ntyfz2GOPV1uta9/effAKqZrQo/PWYbfL2Gx2nnr5Wbz8fajbsAFPfvIaA0cMpWW7Ni6XhZYkCS8P\nT7DYIbUICiqgaSA0CwYgPDzcpfbVBOXl5ezYs4uiuFTMJzOdCoIVVkpWxoNGhWXBcSw7EjHNdirH\nSYVm7r///v95P5IkMWzYMLZs3MKZL09SmlnGhTNZiKLIl4tG8+n0oTSqsCOkFODj4UlUVBQLFy6k\nUePGRNSN4qmnnyY3N7cazsD/xqVLlxC1KhwFJiQPrbPhU4UNQSXi7eNN69atXW1iteNwOPDy8uLq\n/mSKLzj/Jw6LncRFJ0GAigOpTicyr5ziJSdRq9S8OOmPVyC98PwLNA9tjCSqmP7QGr55fhs2iwNB\nEHj307VMeW4QFStOU34iA1t2GcUbLlB64gpajZb+d/UnKDyEdp3vYO3atdV1Cv4wFouFiuIyIoc1\nRbY6SJh/HMXu4OrOJM7M2EvppTzefustHnzwwVqRYPhvBEm4pVdtpVoUDW+VmlQZW7lyJY+/Ooly\nPzXyqSykCE/k/ArUdoHUhMsEBQXdfJBbYMeOHYx6bCRDvr4LjV7ttGXiWkokEa/H2iJoVVjP51A4\n/xiGiR3AoEbZnMSIVn2ZP9d1wkbHjh3jjq6dkAfHIPgZUSqssOkihHkinMshKzWDgICAmw9UDdTU\ndXP3fUM4kHUGqbU/+YtPIdodKAo4fA0woD4sOA6ygkqvxaDTs/i7hX+6B4HFYmHq1Kl89vl0Xv9k\nMO27RPPD3P0s++4QfpHelOSV47CAxWZFCPdEyS5HkASMgoYLp8+5tFFVWloa9Ro3xIYDdR1v3B9o\n5myGtC8V05ZLpCWluCxBtSaumdLSUnr06UF2WQ64Q9apLES9GofZhlTfF8Fbj+1IhrPrqCSi0Wp4\n+423eP21yf/zQ+/EiROcPn0aSZL46usvyC1Iw261YzM58PNx42xyNmpJok37ejisdg4duoQq3As5\nvxyVtwF1ucw3s2YzauSoajobN8dqteLm4UaHuUO4vOwU2ftSUGSFyPuaEtwzmorMEi7PPcGnUz7h\n8ccev+l4sbGxLFj0PYqsMHbMIzeVNb4ZN1I0TL/z1hIewzcfrxVR4N/yX50Cu93O7t27OX36NADN\nmjWje/fu1TaLrkmnYNyT41lwbBPyxVzcJnZAdNeiKArmNecY2bIf389bUC37VRSFmCYxXMlOp17P\naPJTi8g8dRX/KX2QfAyV2xUuOIbib0TdLgy5oALtigQKsl03+xs/cQLfntgEba4/ZJS0ItiVRKC3\nH1nprkuQrInrJisri+iG9Qj4qDdFa87hSCqg7tAmKLJMworTmI1qAs06Nq5ZhyiKNG7cGI1G86f3\n63A4iKxbh+A7vLiwLQmNVkVJsZlBH/UjvFUIF7Ynsn3uEcQRzRFUEoqsIK8/j+CQeWLQSOZ85dpu\npPUbx5B4KQGfd3pVWT8vmrGXz177wGWVNjVxzUyZOoWlscu449VOyDYHR/51kJTdyaj1amSNhCiq\neXPSy0yYMAGbzYaPjw9qtfpP7XPJkiXM+HIKn60ajigKjLtrPoJDoqi4jKYdwjm1P5W8YjPuz3V2\n3vMcMuXL49Ea1fgXarl8wbWNqB54cDgHs0+SfSQVrYcWbZAHLSZfr6opOp9D4Q/JXL6Q+F/H+eTT\nabw37UNMjZx5Gfrzhbzx0mtMfvW1W7btRk7BlUFtb2m8sA3HaqVTcMPlg5kzZ9K7d282btyITqdD\np9OxceNGevXqxWeffVaTNlYLURGRiBmlqFsGI7o7b1aCIKDtEc2aNWuqbb+CIJCbl4+xvh8mgwbv\nLpEgCAiaqo6WoJEqk/oUkx29wbWyr9k5OSiq31wuahFsMlPfmuISm2qS/Px8NO56ZJONsgNp3PFu\nH4I71yGkaxQd3uuLkFrE8sVLaN26NS1btrwtDgHAkSNHEHQKvZ9sj90hM3BsC0KaBhB+rcvdxT3J\nCK1DEVTOJEZBFBBahqBYHezcHXtbbPgzvDDpWUBB0Fd92Ake2r+9tsX6zeup098p9HVq4Qk0Fhvv\nbn+I93c+zENvdkUpMTF27Fh8fHwIDAz80w4BwN59sXQbWBdJEiktMoMgYBftfPXLGJ6Z1pe2faPR\ndIq4fs+TRHQ9ojFfLiA95cbdBWuKb2d/QyNtNLYyK+ZyG26RVZt7GYLdycq4+l8fpsXFxUyZ+i6m\nu+shtApBaBWC6e56TH3/vcqmfLeTf0xOQZMmTdi9ezczZ85kwoQJTJgwgZkzZ7Jnzx4aN25ckzZW\nC2PHjkUqtqJU2Kq8r5hs1f4ANlVUUHg+B1ErkbbpIqJWonTD9eYY9uwyzCcykBr4IZdaUO1K4+kJ\nNy9nqy6SkpLYsmkTxGWi5JShHEpD+SUR9iSDh4Zly5e5zLaaIiYmBo0iUXY4HbcIT9TG6w99rbce\n/4iA32WG3zYUcNgcuPsbWTL9IKaS61LYWoPGqRnxa8w2cCg0aeT672lcXBzoVJT/koA9swTZbMeR\nX4EtMZ/DR2uus6YrCPALoDynHICkbYnc+0pn9O5aBEGgcdc6tOhZj59//vm27jOyTjSnDl3h+dFL\nuafDF1xJLaT/iKaor2lEaHUqBNtvkoJtDhSHQnBYyG215Vbw9PTkp+WrkLQqPLpFknMwzdlR8xqZ\nOy/jEGUef/LGJdDnz59H6+uO4H49MiW4a9H6eXD27NnbbvM/xino379/ld+Va81LZFn+3d/+igQG\nBrJx/QbkMznYLuU5j6/UgrA9hYnjn6zWfXfs0hnJW0/ST2fxHNSQ8EmdsJzOIvf1bVi/PknJp/vw\nMLijLIxH/uYEY+8ZxSsvua6B1IeffIwlxtf5sPn5LFwtdSYc2mSwyuTm57nMtppCkiSWfL8Y85Zk\nyi4XYi21VP7NnF9BWU4JdevevozugoICHhzzEL379SEjJZuvR/9EWFN/Xtk4mor8ChJiL6MoCs0G\nNkQ5noGS5ZSFVfIrkPenIhRbeH/K1Ntmz62yd/8+sDgw77xMyTdHKHhnO4XT94BDZtny5a42r1p5\n6bmXuLDkLNnxWditDrSGqpEAtUHCZDLd4NO3Rtu27djzy0UyffVETuyAvkUQ8z/ey1uPrGZ83+/J\nTCnCdiQd+7WKBLncimnjBeQSM88+Oem22nIrTJs+jaCwYEQ3DYWbL+Ew2Tk4cS1nZu0nftoeUtec\nw/uZDqz8+UdnK/f/QGRkJOa8EpRfOROKxY4lr4To6OiaOpS/LDdNDvj444+ZN29eZdcyQRCIj4+v\ndsNqgl69erFlwybGPDGWwrWXUBwyjz/+OK+/Nrla9/vF9M9o2a41Ea90RR/tLD9qMOMurn6wj8fv\nHMGrr76Kp6cn2dnZeHl5ubxjXNzpUxDiAWeynBK+3jrQqSG/AmwOYur/Z4nnvxt9+/YlNSmZkaNH\ncfztnYQPaYjiULi6IZGXX3r5tpUFKopC34EDuCjmoX66HSqbjGntOcxmBxaTnXqdwtk56wA7Pt2H\nWqWiXp0oUtcnYLVaQAF/f3+27Nrk7DvgQtauXcvF1EREowafZzujDnbHUWwm//P9OMotVJSVVxE0\n+rvRu3dvZs+azeS3XkcAtn1znHte7oQgCOSlFxP/SzLffzTktu5z5r8+I2xEc/z7OnuRiFoVRUeu\n4NUujPqj/UjemwKyQumcw0hGDXKFDY1RTdNmzXj22Wdvqy3/K9u2bePDzz4h/O3u5G04j+NKCY2G\nNsZusnF66SksJhs+Y1qjjfDG1jSAvXv3/scKlqCgIEaNGsXKreswtXT2otHH5TJs+HCCg4Nvu921\nuZLgVripU7Bq1SouXrz4h4RX/or06dOH9KQUsrKy8PLywmAw3PxDf5ImTZogW+1ogt0pOXIFe4kZ\nY5NANPW88fX1rRQtqY4L+Fbo1L4DJ3etQgHEXnUR6jtV9ZTWociLTpCUfNm1BtYg/v7+bN+yjZUr\nV/LdD9+jUql4f9arf7rK4NecPHmSS8mJqCa1qwwzGke15OK03SQduoJHxwj87mlC4d4UPKw6zp46\ngyiK5Ofn4+3tfVvWpm8Hs77+EjHIHV3zQBSrHXNcJupIbzyGNqZ4ZTx3tG7/t3UI/s2I4SMYMXwE\n2dnZDBjYj88eWIdviAeXT2Xw6bQZ/1N0qby8nJSUFCIiIiqXqk6dOsWzL7/A8aPHiIisQ05ONgHP\ntqr8TO7Gi3SeeAeNrika+tX1pSy7gpY+rTFbzRQVFzFk4BDGjx9f4y2Hf8u338/H2KcOikOm9ORV\n7vn+PlQ657Uc0CyILc9vRN800LlxVsV/LYP+9uu5tJrdgrnfzUMBxj//Jk899VS12F2bhYhuhZte\nBc2bNyc/P99l5WY1gSiKhITU3HqaIAg0ataEC69uQfQ3InjpyVlzDmSFTZZNPPHEE5UNcmoDr73y\nKj8s+YEihwL1fCvfFwxqiPCirLTMhdbVPIIgMHz4cIYPH14t42dlZaHxc0P+1c1G0KlAEvAd0hjf\nPs5ZoHe3KBLe2k5weAhHDhyudaHR3LxcFEWmYn8a5dsSEbQq5BILupbBKBV2Fs//3tUm1hiBgYGc\nOBrHoUOHyM7OpmvXrvj6+t78g9f45NNPeO+D99F7GakoLOOlF1/i8Ucfo2vP7lg7BCE+2oykzFLk\nxGL0p3PQhzqjVpbsMgIa+lcZK7CJP2u/XcPWjdvo2rXrbT3OP0NRURFCkIg5vRjfRv6VDgGAZ4SX\ns5tsciHmuKv4WNX/VdFQkiQmTZrEpEnVvyRSm/MDboWbOgU9e/YkMjKSkJAQBMEppXnp0qWasO1v\njdFoRNUmFE23KACUntGUf3mQ3fGHCY2KIDcjq0aiFn+E0NBQ4k+eIiKqDpRa4Fey0BRU0KZv7ZRm\n/qvSsWNHTGkFqPLLkXydcsq2pHxkm4xH6+sloYIo4NUxAvPZLLr17k5qYkqtiuiZy804ssrAoSB6\nOJO+RB895rhMRg8fdVtzMP4KCIJAx44d//D2ZWVlTJ36Ll/P/YryUhPe9XypM6Y5On8jn7/3BTu3\n78DR0BtVW+c1IUSrcbQP5epPZ1Aq7GjreCA7HCTtSca3rnOZUlEUUg6kEdOzDs+//BzHDh2vlmO9\nFcpKy8g9fpGwJ9qRfTGPhI0XiF96CmuJBUmvxlFuJfdfBxkyeDBzfph92yp8/iy3a/ng5MmTlXLo\nKpWKefPmERUV9bvt3nnnHZYuXUpCQvWUj97UKZg+fTrJyckEBgZWiwH/VE4eO4H2hU6VvwtGDerm\nQUg+BqwXc5k8eTKzZs1yoYVVCQ8PRxAE5I0XEXvXBYMa+XgmlFuJiYlxtXl/Cfbs2cOKH1diMBh4\n7JGxNzxv3t7efDZ9Js+/8iJK0wBEu4JyPpew8HAqkgvw9LnuGJiTCwjsEknu9hT27NnzpwVabic5\nudlgdTiFeZoFoW7ghy0xH/OeFE7EnXS1ebWWuLg4Hh03lvgTp/D00fHGgsFENfbn0NZE5k6JpeVH\n/Qgf1ogjC46iGNRImX5o9qRSnpyPSqtGpzPQSduYn+etwVZuIf7nc5TnVRDYOICUfSlYSyz0ndqL\nGXcudvWhViE9Ix19I39SPtsHisLxb44SNbYt3q1DKEvMJ+HLg7zz2lu89datd62tDm5XpCAkJISt\nW7diNBrZvHkz77zzDosWLaqyTXZ2NgkJCdW67HZTmePmzZv/rjHH//PncfNwRymxVHlPLrUgGjVo\n2oezY2+sawz7LyiigBDohrzhAvIPcQilZvDU/b9T8AeY/ObrDHxgCIuSd/DNibW07dj+v5ajjR83\njvhjJ3lr8HimjnyWhPMXcdMbuDLvKIX7UzGlFHJ12SksaUUEdY1E66GjpKSkBo/o5oSEhYIkoL0j\nDEP/BqijfDD0rY+ucx2S0pJdbV6tpKSkhN79emNrr8Mr0ovx7/emQcsg1BqJrnc3pOfQGLJ2XkZU\nS3jX9cE3xAPH0njefnoIr735AGGh3iDYOHTwAL49ovFoEYJnAz+uxl2l8Hw2TbrV4dGv7yb3ciF1\nouu4+nCrUK9ePXRR3gQ82AJBgaD+9QnoHoXaXYt3qxCixrRm5lefu9rM33G7ZI4DAwMxGp2RQY1G\n8x9zg95//30mT55craJHN40UnD9/nujoaGJiYiq9k+3bt1ebQa7m4MGDzPjiM7Kyc7h/yFAmTJiA\nVqutss3tyJh+5ulJzFw8B3lgXQQPLfa4q8jpxWiGN8cUm0xM/drRK/zfbNiwARwySkohUrco8NQh\nn82G9GKXSunWVkpLS/nwk49YvW4NgiBw8fxFjHc2wHEyE8ViR4z25ImnJjBw4ECSk5Px8fHB39+5\n9qsoCnFxcVRUVPDcc8+h0WgoKioiKSkJoa4PmUtOojZq8G0VQqt3elOeUUJJcgE9evRw7UH/BpvZ\nCoKAOqrq2rk62gfT0QwXWVW7Wb16NW4NfPBq4k/id8dIOpONKAm07FIHSSUSGObB6UMZpK3LImZA\nA4x+BuIyj3LiRCIXLqcw/qMeIMCiT/aRfimXkIkdSJ21H0eJGQGBkEb+XNqfxpYZBxk/doKrD7cK\nOrWG3BWn0QW7ofbQov9tj5hgdyoqKlxk3Y0R/mBjpn1Xi9iXdXPxpPLyct566y0WLKiqqpuQkEB5\neTnNmjW7JTv/KDd1ClavXl3FK/k7ZwsvXryYseMfx66TQKfi2MV4flyzmj07YwH46JOPmT5zBsX5\nhbTv0pF5s+fectnX22++hc1mY8ZnM7GazIiB7hhHtcR6Lgfr/lRe2rPkNh7Zn2fTpk2gUSH1rocc\nl4lSbkWM8ELxMbBly5ZalbBUUyiKQmxsLDt37iQ0NJSRI0fi6emJLMv06NeLJCUfVf8wTCczUWXp\n0JzLodsLndF56Di56jTJF1MJrROGFQfWcjMD7hzAx1M/5IGRw8jPz0Zv1FBSaGHl8h9p1cqZUW64\npzHm7YlYT2SQfSiNzF8SQQFJo+Ls2bN06tTpJlbXDGVlZaSmpCBFeWE9m42m8fVEZeu5bFRC7cl9\nqE3sio0lIz6dq0dT0GrVCDl6tn5znqWfHuLVuXexdclpsq4UE9I+jPoDGpC4NQG9XsPGdUeYu+dR\n9NdEtd5ecA8Pt5+Lw+Ig8sWulMRf5ezik1zan4odsJvtzPzic9Zu2sCOzduIiIhw7YEDe/bsxW9c\nO4qXncIrxJ3snUn4d4usfOjm7LqMj+dfN2rdJdiLLsHXE8inxaX9bhubzcaIESN47bXXfheBnTJl\nCu+9916123nThkgLFy5kzJgxlb+//fbbTJ1aPaIoNdn74LeYzWbcfTyRo71RNQ9CLjRh35uMRqVh\nUJ8BFJcUc+DcCSw9IsBTC+dy8ThTREri5T9Vn75r1y76DRyAHRkUQCWi9nfn4X73Mm/ON7fvAP8k\nw4YN46c1q1E93t5ZdQAosoL9myPs3LjVpWvZrrhuFEVh1MOj2bBjC9ZoD7TlMuqrJg7t3U9aWhr3\nPTYKzfhWiFqJ8n2pmDZe4L7ZgxElEfcgNySNxJLRKxHah+M1MAbZYqd8yRnU6RUYPBUyLheAAuEN\nfclPM5GZcZWhw4exL+cc1oJS7GnFqFqHoOkeBQ4F6y+JuF+1UZDl+u6I4GxuY3A3oh/fjvKFJ1A3\n8EMT44/1Yh7WU1dp3CCGs6fPuMy+mrpmTpw4wbcL5lNhqmDk/cPx8PCgoKCALl26/K7CaNeuXQy8\nbwi2dkF4nszh7Nn5+Po6Z8svvTiH7xZtxW6306pjHRyN/PAM92LX+7sQLA4ion2Zvm5ElfGe7r+I\n7KwyZKsDlUZClmX0gW446vthvLMhiALlWxMITRU4H3/W5RM+vbsB/7e6YzqXg/1AKqb8CkS9Gt8O\n4RSfzaE8uQBJUNFvQD8Wzf8ed3f3Gi2/vVHvg8LHut/gE/8d7/m7q4wnyzIjR46kX79+PPbYY7/b\nvlOnTpXPmr179/L444/z+ee3fznlpnGPXbt2sWXLFsC5nmG322/yib8mq1atwuGlRT2wIWKEF6oW\nwagHNMAq21hzchc79sVi6RaO4GsAUURBocRuom3nO1ixYsUNbzB2u521a9fy8ccfs2XLFmT5usSo\nw+Hg5VdfwW63I/oa0N/TGG3HCGxZJfz00081deh/iIKCAtBI2NecRb5aipJXjmPjBbA5brsq21+B\nXbt2sXbTeipsZqxH0ym7nE2pr8CkF55j165dlBaWkPveTrInb8USm4QowvrnN7Fryg6WjlzB+Q0X\n8Y32ReXtFKYStSoM98ZQkJ+PW7Q3Y1aNYuy60fi3CcOOje3bt7N4/vcICQW4+xgQ3dSoWoWAJCLo\n1WjubEBhQSEZGbUjLK/RaBBUEqZNFzGOaY3gpqFi52WscZmAQpOmTVAUhXnz5hEdUx9PX2+G3n8f\nqamu19+/Xfzwww906dWdb49vZNGZXxh47xB633snj775NCERYb9LIpv22QzsHYKhwsqjj/avdAgA\nnnv+PqxmOz3vbsz5Exkc+vwAO97dgSPIHUWElIQcMi5fb6+elVZEdlox4Y2DeHrdgzy7+SF6P92B\nkqtlGAc1QlBLCJKI8c4GZOZnO+WoXYy7pyf5K+MxtA1FDnTDbrUj2Bxc+fksZZklSI+3Q5zYjq3n\nDuEXFIC7lwePTxiH2Wx2qd2iJNzS67esXr2aTZs28cMPP9CzZ0+eeeYZTp06xfTp0wE4cOAAmzdv\nZvPmzYSEhFSLQwB/YPng22+/5YEHHmDdunXo9XpmzJhRLYa4mkuXLiFG+1TxlsUwT6iwobLYccgK\n4sE0HO3DUM5ko7LYcRvZnDybzLhXJnHm/FkEBeYv/B6H7OChUQ/y0vMv0qVHVwrNRXi3CKB0wRc0\njGjAto1bKS0tpUHTGEqsFfgMboSj0EzJmnMYRrSAjhHY4mqXdHC/fv3YdXAPFJlwrD4DigIGNWgk\nrFbrzQf4m7F8+XLMZjM+49qjjfHDnlFC/pwj7Lr8CwcPHEBuHexUgbTJyOvPERTswacrRuAb6E56\nUj6vPLiS4sIKAgbUrxxTNttAUej8dEdUWudXs81DLTm/+RLnz5+ntLQUu2zDHJeJgIC0+gxWkx2x\nZzRSsyBErYri4tqT4yFb7chXiin7+jA4ZFA7l+VQizSs14CI6EgyCnPQ3B2D4O3P5lNxHOzckaSL\nCZUJV39VbDYbTz/3DOb+UQgBbghbL2HsGoGxYwT27DLcuocyYdJEevXqVdk+OisnGyFSB1YHVzLz\nq4yXnV2IShJJjM/BYnbwzKShyCjk5ZfwwHtd+WzWal69bzl3PdwSSRLYtvQMCgodxjTj+Moz5CTm\nYSq1YtBKmBceR2gTiq55MIIgoDJoa8Vavd6gp8xSQfpLmxB1KhwWBxVl5Qh1fdAOu76OLvWKxrGo\nCPc3uvHjT1uxPf0kC+d95zK7b1f1wbBhwxg2bNjv3m/RosXv3qtOWYAbRgo++OADPvjgA6ZNm0aD\nBg3YsGEDPj4+fPjhh9VmjCtp06YNmtTSquGcpAJQSXR8uCX3L7yfDsOawIYLKCkF6JoFUf7zWcpW\nncYeqOXDjz5ixtJvyO3uR0GvIL5cvZDwupEk51yhXLCTuiuRqJGNuFyYwrjx46jfqB5FxcUEPNIG\nTZA73nfHEDSuPeYN55EiPPHyvj2SubeLzp07O3sdcO0LoJag1IrK5pSL/qdxPuEibr3romvkjyAI\nqMM88RzaGEUt4XBTo08qwLDpIobtCeh1ah5/vQe+gU4VuvC6vgx7rC1qSUQxOyNviqJQuuUSkkaF\npLm+3i4IAho3DVPfm8KjY8egWO0YvPSMmDmAZ38excNfDITdydiOpOOm1deqSpDGTZuARnK+3DWI\nnjoEhwIlVj79bCZXsq+iGdoEqY43oocOqWsdzF5SrYuS3Qrp6enYkREC3FBkBSUpHzmvgoIvDiKe\nyKTwu+PgqWHdunWVnxk6cDDi4Uxkm4M1a/azckUssiyTkpLFhHGfUT/cm8zkfARRoFmzKDZvO8a6\nzYcZ9cgn5BaWUic8iEDFn2ObUnFYZSJDfFgxaRPnN1/Clm9CKLXywgcDeHJUK9RbLmH6JRHL+RyE\nUhvt27d34dlyMviuQag1GiSViFxhQ5AEdOGeiMbf6BGIAsgKkocOzf2NWLF8hUujlber+qC2cMNI\nQWhoaJVZ89SpU12+5lSdDBo0CO/njFxdfgpVi2CUAhOOk5lIOgmduw6jn4EGAxpw5XgG6WeyUZ3P\nocvrPdB56Tm3+ixJZ7Iwa2VUAW4IgoDVakXfPQLjgIagQMXOJA5/FItbqAc/b/6J6M7hnNuTStHK\nePSBbuR+dxzvexojF5txnMtj8J13u/qUVGH0mIfAoEEa0gjBz4iSWYJj3Xl0Wj0eHh43H+Bvho+v\nD5K+agmg6Klz3q+KShgzqQujJjiFah7sMRutrupXTWdQ4+fnTu6M/eiivHEUmwjwM1LmpSNp8QhB\nlgAAIABJREFUdzL1ekRTnFlC6uF0itKLmL/ycd54bhU6DzVhDXxY/+4umg6oT48n29P+vsYcXnqG\n9Vu2I/7BTOiaoG6dKM6cP4uuaxSGfvURRAHrmWxKl8RhuXYTF/2qCnSZPVVcuXLFFebeVgIDA5Et\nNpQyKxjVIIjoHDK959+LpJawVViJfWFTZdc+m83G0SMH8bcL9KpTl60JxTw54XMeGTMNnVbF82M6\n8faT3bmaW0bMwFk89dyXKD2jEIdEg6yQuOsynMshKiKAuuE+LPtyDAMfms09w9pTt2EwyxbtpW7T\nAHoPaYwgCLTuEsnobnPQ6o1sWLOuVkhjPzVhInO/nYvWXYOpxEKTj/qjyArn3tyOnFuO6G905jHt\nS0F7rXW4YNCgKAomk8llPWL+MYqGjzzySA2a4XpUKhVavRZ9qB+O9GJETx1eL3bFci6HpL0phLV3\nhvh07jrkIgs9pt+FW5Bz5tduQnuuHs/AmlGCbcMFiPBCzirF+FwXFIuD0jmH0ChQt089Mo9ewVph\n48qZbALbhREzrh2CIGDKKePQK1tQALdUE6//9JoLz8bvuZKVidgjCsHPGdYVQjwQ2oRSdvSvfwO/\nFUbdP4Jdrz+Dckc4gkZCkRXKtiZgqTDj5aln9MROlU700Ifasmjmfpq2D0OrU1NSZGL9wpNMeulO\n3n55JUPvbEjHPvVo2DyYC3GZPHP/DxyacwRbhZXQSB8kQWDKK6tpf1c0901yzujKisy8NnQlDbpH\nojGoGTF8ON26dXPlKalCYWEhazeuA0HA0Kde5Y1T0zQQKdANh1GNYLJjP5OFuo3zu6VYHaiTiune\n/dYSt2oTRqORp596mtlLFlDR2h+Vu4aG9zZFUjujQGqDhvpDm5CWkU55eTkzZkynrCSTpHNzUatV\nOBwOBt37Idu2HyPjwGu4GZ1l0aGBHgzpFcPSHefRNQ0CQBGc4mdaScX2nXEYjVr6jviCZ16+mwnP\nODvaPvnsnfTt/DbH9ibTrls0gaGeBIX4smrZuloRJQAYP2kiGNSYiy143xGO5tq9JuLhVqQtPIli\nVKOUWVGFuOM+2lmNYz6URoOYBvj4+LjO8Fo8678VbugUPPDAA4waNYr+/ftXemAmk4nNmzezdOlS\nfvzxxxozsqYwGo1oYwxof1U+ZT6RgVrr/CJby61c3HIJFAVjgFvlNoIg4B3pja3IREFqEd46FVcd\nCsgypl1J+Id60P31HgiCgMPmYNvLm8lPyKfr5J6VDw59gBuBHSMQL1o4evhIrVKQ/HfbbFFfdTYh\nGNQoijNrtjbNUGuCYcOG8fo7b5L6+jYMLYKwpRRidNOCp84p8vSrqNq9j7Rlwcw9PNj+axq1DOXC\nqUxGjulC37ua884rK9m4NI7TR9LpcXcjeg1pAopCeIQXHy8ZjlanpjCvnAc7zOblUQMrx3Tz0tF5\nYH0uxKaQvCeTV+dVf6nS/8Lhw4dBLYL9PyTgKgpChBeCvxHbmnPIGSUIXnqEs3kMHXRPrSmr/LN8\n8tHH1I2K5l9zZ5MiqLCbbFX+bquwEn/qFAEhQWg1IrNnjEOtdt6SJUnimYl3Eht7kvwiU6VTAJCd\nV4YEyEUmBE8dqt0p+Ofb8Kgbwrp17xMREYiX1yDuG3FdUlmnU3P3Pe2JP5RGu27R5GSUUFRQTqNG\njWrkXNyM3NxcDh86hCrMDb96PhQXXV8O8O0Sib6OF+ff+gVt9yisB9IoWXEKudCEttDBkti9LrT8\n78cN7+Tz588nKSmJPn36EBMTQ0xMDH369CE5OZnvvrt5Ukf//v0JCAjggw8+ACA2Npbg4GB69uxJ\nz549b9gL25U8Pe5JrBsScFy7IG1pRZTvSCIvIZ9Ty+NZ/8wG3Ov6oHbTkH7gepa0pcRM5vEM6nWp\nAwIMnzUQ//q+lK45h/1CDo3ublT5kJDUEg3uaoioEn93k1DMDl58/oVa5RAATJs2DRSQj2WgyM6b\nvGJ3IJ/IRC2K/ziHAJw3bZvNQqcn2tKibRh9nuvMvV/eTYv7m2Gy2Nmx7mzltvM+jcVmc2CzOLj3\nvg5sP/QWr783lH99upn2nevi5W3gsYk92LIsnoe6zEGtVjHmxa5orzWE8fYz4uappSCrvIoN2WnF\nHFl+mrEPPU6fPrWr/0RwcDBYZRAFTL8kVl431nM5OLLLoJ4Pgp8RcVRLZA8d9gOpzPl0Fj98v+hv\nsUxpNpvZv38/3bp148yJU8yb/S2Jy85SkeNsHlacUsjFVafJuJqJ7xtdkJr4k3G1oMoYmVcL0Bu0\njH3zZ9KvFmO12pm97DCnLmajFwUMq86iWhSH/Uw2/j4efPLJOCIinPeOiIgALl3IrDJefFwK+bnl\nbP3xNK+O/pFXXn61stuiq7Hb7QiiiORnQFYUSs/nUnAgFUVWsBWbSV90Em2bUHQ96+I2qSN46JAz\nyshMvULz5s1darsgCrf0qq3cMFLg7u7Oiy++yIsvvnhLAy9YsIBffvmlyvrgoEGD+Pbbb29pvJpg\n3BPjSE5N4fMPZyGrBLA58HRzR9KpKcgqw7OBL8VXSqj3cGv2TdtD5KF09L4GEjdfws3fQHlBBVEd\nnSIg93zUlwUPrkIEKvKq3szL88qRNBIXvj1K8xe6oHLTkB93ldL4XIavqJ7Oe3+Gz7/6FzQJgIR8\nHAuOIYR4oKQXgUPGNyDI1ea5DHd3d9yD3Alrcz3bX7Y5UCK8+PD1TcybtRd7hY287FKen3MXeekl\nvP/mT6z84QDZWcUEBHrg5WNgwD0t6DmgMW07RdG10fuo1CI2q6PKvhq0CGbuazt49osB+Ie5s2/t\nReIPXkEQRF575bVa9yDV6XTORkj+ekwHUjAfTncus1gdoBYRjmaitAsFUUBVbKVrnz6MHTvW1Wbf\nFtatW8foMQ8jeOiwl5loEtOYTWvXo1e07Ji4Fr2nDtkuM2x8GzYuPIUtvwJ153Dem76K1i2j6dGt\nGYcOX+TdD1fRp88AEs4fpvk9X1JhttGpTSR+PkYmP38Xo4d14OMvtvD5t7GYLTY8Pa9XbLz00gie\nGz+PmbMfJbp+ICt+2Mehw4l4hrqxb1sCo+5/mNcnv+HCs1SV4OBg1Bo1dlEg8+RVRL2K5HnHSP7m\nKKAgSCK6B5o7E8ElESm9jJdeqSVOjfT3mhTdVLzoz7Bw4UKuXLnCG2+8QWxsLA8//DCRkZG0bNmS\nadOmOW8cvzbGheJFv6a8vJycnBzCwsIoKChg/NMT2Lh2Ayq1CkWAmEl3oPMzkLjkFGUpBSg2GTdf\nPYIocu+MOzH6GrBb7My5+wfsNjtadx09p/TGL8afzOMZ7PtkD9YKK5JBjWJxIKpEfLx8WLZ4aa3L\n5JdlGZVeg6KRIMYPMkohpwzqeEFuOZG+ISQnu1bH3lXXzVdffcV7/3qP/h/1Qeepoyi9mLWT1oO3\nDjnKB/FSHiqTlbZ9onl0ag8AyostHFh/iTVfHsXH20hQmBdzlo/FcC3DekifL0hNzSc82IOPFg/H\ny9fAlcsFTBqyELNDRpJErKVWvBr64TUohuw5JyjKL0SlUhEfH09xcTGtWrVy+c3y5ZdfdtZXG9Vg\nsSMYtShmG6hFtD3rIu65gs1kQRAE7h4ymAXfzPtTImD/K9V1zWRnZxNVry6m/lEIgc7KA/WhDAbV\nv4N9+3bx6JROhNfzwSfQiEojse7bE2w6moXX6JaUn8jAtOocFQXl+Pn5oNNpSU+/iruHHj9vN/p2\nacDabafo3K4ey755AkkSsdkc+Ma8yAPDu1NUVM6KFW8jSRKFhaU0bjQWUZIoLimhzh1htBnbGs8Q\nD66ezuLQpydo2bo1Z86dxcvdg8fGjOWJJ55wWbLemTNnaNampbO4yUuP0C0KNBLKkXRIKQIURJWI\nLAIWmbFjxzL3q69RqW5aVX/buJF4UfmrA25pPOMnW2rF8+631NgZbdu2LYmJiWg0Gt58802mT5/O\nm2++WVO7/58wGo2VLSsDAwNZs+rnyn/eoUOHGDbifiyKFWuFhbDAMDKLciktt9FiQAM0Rg3mUgux\nsw6AQY0Q7oflfA47Xt+GzWxDrVcjiwIanZbHRj9KvXr16NGjBy1btqyVYfipU6eiaCTEh1ohXEuS\nko9loBy/AnYZQ3jtaO/sCp588kkuJJxn/sML0HvpMRWZCPTzx91fICjQQEDrpvyy/CyGX7WaNnpq\nadEtgp8+P0LW1WK+Wzu+0iHIyykl9VIOhvHtyZh/jNEdZ+Ppa6AovwJ1uzC4mItn5zoE9KuPo9xK\n3uIzPPHEE2RnZ9Pnzn5cTk/FISnIJRaaNWvGutVriIyMdMm52b17t/MHsx23MW3QNPJ3VuFsuohl\nbwodW7Vjx+ZtCILwu94if2XWrVuHWMcbIdCZcySIArbWQaxfvI6IyBA0WomA8OvVOoIooDicgmb6\nRgGY3RKQikVkxcEHs+6la69GHD2YxFNjvsMkRlNWcZwlcx5DujY7VaslAv3dWLEilpBgXyLrjKRx\n40iOHLmA0d2NrKs5tBzejI5PtKvcZ2F6EVl5uRwxpKPqF8ilHUm8NOU15i/6jsP7Dv5uslYTxMbG\nIoa4I6cXIwyKQfh3/lK/+igLTxDYLRJLbjllKYWoJIH33nm3Rh2C/0ZtLi+8FWrsrLq5XU/Me/DB\nB5k8efJ/3G7KlCmVP/fo0aPWNHn5d3i2Y8eOpCencfbsWdzc3AgMDCQ8qg7mjiGcjbvKiRXxTi16\nbz2OaB9U5/OZN+877r77bqZMfZftu3ZQNzqaN16ZTIcOHVx8VDdn6YplUNcH8itQfAwIGgmhsT/K\n4TRQFBo0aFDjNsXGxhIbG1vlPVdcN6Io8q/Pv+Tdt6eSnp5O/fr1sdlsvPX2G/y8ZjXpBjOjR4xl\n0dLv6Tu6KT5BbsiywsZvTyFKInXva8zowXMY90wPRFHg6+k70HWugzbaF/W7fSh8ZyfFooTXlD5I\nnjrs+RUUL4kjZ+15PLw8eXL8BN6f+h7devcgxdeC9r6OCIKAPSmf0yvj6dKjG6lJyUhSzfcZkBXF\nOetTSZR9fxzR14BxUAyG/vUx703h2SefrtGHT01dM4IgOOXKq+A8FxOeeIr5sz6nfotAdEYN+Vll\nrJt3ArPZgbrMTmlSHv0GtGJP4WnGPdOTbr0bA9C+Uz1efPMuDu4spEnjRnz13W6eG9cbgH2HE8kq\nKKX5u73I2Z9K0a4UDIZQFDEB76FRBHk3JnHBMdo+1Aq1ToWiKByYf5ygpztiiHE24DK2CCbtnV9I\nyrvCihUrqsja1xSlpaXIGcWglq47BFybnXvoyI5Nxq2BL44SCwFBwc6clWrmP10z/5FanB9wK9x0\n+eDixYvMmzeP/Pz8yu6Av+3edCO+//57MjIyeOONNygpKamsZ//yyy+5cuUKH3/8cVVjasnywf9K\nfHw8ox4ZTcLFBGxWG4JaxD3EH0t2EZNfe42336hd/b//KDabjaDwEKfEsbceii0InSIQfA3I686D\n3cGi7xfx0EMPudTO2n7dzJg5nXenTqFhqzCuphTi5e5LiVRBq3e7kXMig5x9qSgypB9JR9srGm0D\nf8z7UgksVJOXm4c0tD66NqHIJWYsi8/w9H2P8v5UZ7VBfn4+IRFhaF7ohKC6HmkqX3gcbanM+uU/\n0bt37xo/5gYNG5CQnow0pAlCkBtKWjGOLRfxeLQtJV8f5LEnnmDFihXIDplh9w/ji5mf/y2WD/Ly\n8qgTHUVFrwiEUA8Uh4z2QAZDmnVlycLFjBv/GD/+9BNBEV5cTSkkNDSEwGADXbvH4OFp4JuvtuPl\n5cujT7Vl8LDrs/vdv5zj8w/2cDk5FYfdQoCvOwadhoTUXJq82Bm/ls66/czdl1F2l1JiNNPghfYo\nisL5rw5ReimPBj2jKc80cX7XRep+e2+VPJScxScx5VfwUMdBzJ9b83lfu3btold/Z7KscHcjhGsd\nEpUyK8rSOARPLUq5Dcx21BoNox8azawZn9XoMtmNlg8q3hl4g0/8dwzvbqyV962bRgpGjBjBK6+8\nQnh4OPDHuySOGzeOAwcOYLFYOHbsGP369WPBggUYDAb8/f3/sGPxV6B58+acORFPfn4+Op2OzMxM\nkpOTadWqVWU73L8i0z6dRoVBQDOiozNJrNCEdWmccyJkc4AkcP/997vazFrPiy+8xOgHH+LgwYOE\nhYURHh5OdP1ozAUVBLQOJaB1KMXJBaQdTceWVID5YBoxYXXZczCWhIQExjzxKMnLtqBSqXhi3Dim\nvP1O5djOmanifP0aWQGtisLCQlxBYmoyUs9oxGDnTVuo44XSMpiyn06jMehZtm8jtmHOpjyrjvxC\n0j13s2/XHpfYejvx8/Nj9aofGfnQg9jVOdjLzLRv165y/XvB/IW8N/VDLl++TNOmTdHpdMyaNYt1\n61fj6eHJ9E+/JCsriyXff8mdQ1qjVjsbGS1dcICU1HQGvdyWZr2iSInPJv1sLhe+yca70fUSanuZ\nFZ1KjejmVMoUBIFGT3Ug73gGxz/ZwxezvuCjpE8wX8pD3/Baq25ZwXQpF42HkaaNGrvkvG3fvh1J\nFAjrHkXaxovI9X2dktgXctH3roumaRDFX+xH2zUSfZdIfty+g/QR97N94xaX2PtranMlwa1w00jB\nkCFDWLt2bc0YU8tnfP80ohrWI6OtO2Lo9TVQ+74UHKezwGIDh4LD5nB5LsRf8bp5/8MPmPnlTIJ6\n18FutpG89RL6fg0QtSrsmy5zZP9BGjd23qAVRaG4uBiDwYBGo/ndWD369uJgeRKaPvVAFLBfyMW8\n7jwaRK5eyaxxYReHw4HKqEMaFIMYcb0ToHwuB8euJNQqNTzeujJHRZEVNAvjObrvUI3VzVf3NWOz\n2Th9+jQ+Pj7/c16H1Wrl3nsHk5B0jk7dG3D0wGWMem+S01N4Zf2wKhOz6cNX4devAWF96lGclM+5\nTw8yZ9bXPDFxHC0/6o3e31mRkPrTWaKKA9myYQsrVq7g4ScexePuhqh99BTtTMKaXYbGKpCRko63\nd823J46oWwfvvkFE39WQTY/8iE0ATaMAtK1DUIV7ocgKhW9sxXBfU3Rtw1DsDsyfHOBc3Okay5u5\nUaTA9O6gWxpP/86GWnnfumGkYMmSJYCz7OqFF16gTZs2gPMkjBo1qmas+39cislkAuE34TlRQKjv\n58ysjk12uUPwV+XN19+gR7fuLFu5nIKCAtwa60g/mEazZs34ZNs3lQ4BOL9zv22z+2tefOZ5Bg8b\nivVk5vWyP6sDn5Bglyi9xcfHg0PGcSrT2feg3AqBbsjxV0GWkQwaZPWv+juIAoK7lqysrFojpvNn\nUavVtG7d+pY+q9FoWL9+M3v27CEuLo5R9zWmYcOGNGvZBIddRvVvZ0pRsJhsXFx0gouLToAM3379\nDSNGjCAz6ypvvfIWAa3CsORVoDFLzN2xBoCBdw3EbrZRuOUSyAqy3QFqCavVhslkcolTYLFa8G3k\nz47nNmAvs2Lw1WM+mYkkCUihntgu5CBoVGhaOHMJBJWEykNPTk6Oy5JpK/mblSTe0ClISEhAEATq\n13d2cUtMTKwxo/4f11NRUUFBXj72fRWohzYBu4zjdBaOY1cQ72qI4KatlV7uX4kuXbrQpUuXPz3O\n7Dlfo2oSiNQmFEdSPoJeBTaZ7D3JWK3W/xhdqE527NgBEgiZpSibLiD5u2HbfLGykY29zAyZJYjX\n1o3lvHLKMvKpW7dujdpZmxEEge7du1eRfG7fvj2bZx2j31OtkVQisYtOoWhU9P1uEGdnH+Pu5gMY\n87AzSfCF557ngWH3s3PnTvz9/enbt29ltv7GjRsRdBKB7/etDH07yqxkT97K4cOHGTp0aI0fb/Om\nzTn1/QmsBRUMmnsPbsHuWEot7Ji8ldK5h7FfKUbXtz7iNYfInlZEWVZBrWgA9ndbPrihU/DvzNxN\nmzZx1113Vb6/c+fOajfq/3E9u3fvRh/iQ6nGjvVfB0AQEMI8INQTefMlqOONh1stEA75fyguK0EM\ndkcKdEO6VgonZ5ViFwSXlG2tXPMTIKBrHoT3mNYIooA9v4KcqTtRANnuQP7xtDPiJInIl/LQBHiy\nfft2HnvssRq396/C8iUreeSxh3m//1LsdjsavZqADhGc/uggOpOaKaveqbJ9WFgYDz/88O/GkWUZ\nyd+tysNMctMgaCSXRJZsNhvHjx2jpKyUZqNb4nYtD0XrrqXlI605OGMfdlnB/Esi9ssFOLJKUUos\nCBqJt95+m1mff17jNlfhb1aSeNO4x/Tp06v8Pnv27Goz5v+pPeh0OrA5EHvXA0FAGtoE6Z4mqAY3\nQhoUA0n5PDzyQVeb+Y+ivLycoqKi370/evgo7PFZVSI39nPZxDSIccnyTlJiAoICHoMbVT54VL4G\nDJ0iEEQRGQVaBqNoVcjlFmcvBL0ai8VS47b+lfD19WX9mo1kZWZzNSOLn5b/zNjOo5n28kecPnka\nX1/fKtsfOHCARx4Zw733DuXnn69rrfTu3Rs5sxRH4fX+ApbEfDSCytkivYY5cOAAOn8jxiA3xN/M\nukVJRLbJIIkIjQKwXy5AaRoIY1qj9K/P3EXzWbZsWY3bXAVJuLVXLeWG04jFixezaNEi4uLi6Nu3\nL+DUp3aV4tXficzMTOZ8M5eE5CT6dOvJgw8+6BLBkP9G165dMSgqyg6mgZsG4VfJhkKYJxjV5Ofn\nu9DCfw6lpaU8+PAotm3ZBgI0b9GcpYuXUa9ePQDGjh3L7G/ncHHRSYRG/shpxWiuVrAxbrdL7LU7\nZFCJKBZ7lfcVk81Zst8yGOVaZ0QA4jKxx2UxePDgGrb0r8m/S7v79+9P//79q/yttLSUyW9MZvHi\nRUiSzH1j2iEK5YwaPZymzVqwb/c+AgICeP/d93j7/SloOoShWGxYj15l5ZLlLoksSZKEw2bHUmTm\n/E9nqdM9Cr2PAbvZxqklp1B1CIe0IuxXip2aKde6QxLsgaVTKFM//oCRI0fWuN3/5h+zfDB48GC6\ndu3KRx99xP+xd97RVVRdH35mbk/vvZCEEkjovRdBelVBfUFEEXtBsYtiBbtY0A8bIChNepEiPaGG\nTkJI770nt8/M98flDUZRLCSgr89aWYvcJGf2Gebe2XPO3r/fc889h6IoaLXaJhGN+Cdz7Ngx+t8w\nAF2nANRhbuz4cB+ffbmQA7v3XVfKbmq1mt3bf6TPwH6UmewoslJ/8SuSDBYJm2S/wij/8ldYv349\nz855gfTUFFr2CuHJLbej0auJX36GvgP68P47H7Dxh814uLqj0WgRSk0ocTm4GJxYt35TvSpnUxMR\nFs6ps2eoXHEG7xldEZ21WJJLMB3PR1SrkAQguQT8XcFDD97OhISGEhIScsWx/+W3GTFmJBnmXCTF\nxpoDj+Hp7eg+GDCsNc/dt4pPP/2Uxx57DLVKhSioqDtfAiLodVqSUy5ck5h79uyJVGPH4O1ETW4V\n6+9eg2ugK3UldWjbBuA8ohWKVaLsxR3Q7GcFt256iovyrknc9VzHT/1/hl9NCtzd3XF1dSUlJYXw\n8PCmjOkfR2FhIY8+MZMtm7dgtBjxGNkKrxGOAhmlbwTp84+wcuXKay4C9HMiIiKoqa4BFOTd6Yh9\nwh1uiQcyQYDbb7122fk/nc2bN/Of6VNRjYxCSpYY91w/dE4Opbe+k9uTsD6ZO2bchU10JGhIMrT0\nQXDSUKMIjL/lJgpz869JotmpfUdOnT2NpBYpfG47gl6NAgitfCG5DCGtHMHfBflQDkT7oLHCxAnX\n17X/d+TkyZOcSz5HyC2tiPI21CcEAD0HNkeyS7wx7w0qKyt59Y3XEe/ogPqiBLet2szLr7zMfTPu\nbVIRKYCsrCxsVjsatRpJVqB/M2oSS/B4oi8qT8fKtGAQEbRqlAul0DEYLgp1qVLKGTyo6cW5GvAP\n68D6zdmIokjPnj0d3uj/8qew2+306t+XtRfiME5ogaJV4fKTpVNBFBBjvdgXf/15gp85cwa7IIOH\nHsVsQ1p4FOmLoyjZlWCVGD169LUO8W+F3W5n1apVzLj/Xt6Y+wZFRUW/+rsvz3sN1ejmaKK8EdUi\nGn3D/N3JQ4cNR82HOKkdQqw/XChDkRTk9DJqrSa2b9/e2FP6BZIksWLVSlReTgjBbmjv7Y56Yjs0\n07uilBqRfZzQ3N0FzejWaO/uAilleJbLPDXrySaP9e9ERUUFycnJ2O2/vjqXm5uLa4gnBl8XMi4U\nN6gxKS6oxmaTKPcWePWzd5EFBfs3x7F9dhhpdxroNai9XDh79izgMCjavXs3tbW1jT63O6bfiewh\nUJ5WBoIACMjlRocA10WsaWWOREAlwPJTcDgHl905+BTYeefNtxs9xv8lrriBtGLFCr799ltUKhWC\nICAIAhcuXJtlpusdRVHYunUr6zdtxMvTE2eDE+u2bCS3OB+pa0sEVx14GrBkVqD1v+QFYUuvJHpS\nqwZj5ebmsuSbJVRUVjJuzNhrUgDk5+eHbJcR2gchtPRBkWWHcEp+NfKWZKqrq69JtfLfDZPJhCzL\njLlpHMdSzmKNdkd7ysZb777Dvl0O1cJde3fRLCyCLp07s2XrFpLOJSI2b4HopkPl5cSJTcl0HuNY\nXSq4UEZ+UinCmEtysELfCKTcavB2gk7B2Fee4ejRo02euJ06dQqTzYKo6JAOZKLUWhF9nJF+TEUp\nrUN9W/t68R3BoEHdPoibO43Ex8enSeP8u2Cz2bjn/hmsXLkSnasBtaLis48WYDKZOJZwlDatYxg3\nbhzbt28nOTmZonN5hN8di1kl8PLj65j2UF+qK0y8/uQGtF1DUd3oaDE3bUnGnlSMbnIHbLvSkLac\nx1Rch16vJyg8hMKSYgRnLeo6O19/8VWjadMYjUYO7o9D52mg3ZROnPruFBzIBE8DFW/vQ98tFEWS\nsJwowOXW9ohBrtS+uZ9nR95FVFQUt9xyC87Ozlc8TmPyTzNEalTr5D/K31GZ7qdMmTY+5R36AAAg\nAElEQVSV9Ts2Y2ntiVJpxna6AG2PUBAErEdzEYe3BFlB2ZGK76R26ELdqTmcg/1gAVlpmfU32H37\n9jFizCjkKE+sWgF9ahX3TpvOu281fUYsaNTgqoVKE+jUCO0DUVy1sC+TmrLKBkZX14rr9brJz89n\nyl13sm/PXhRJRuXjhOHB7ggXxU6scVkYjpcjuKkxdPbFmltLyeEswgZFoXHVkrn1AvphLdFEelH7\n+RF8AlwwuOvIOl6A3SIhPtSzQZGTtDMVPAzQLgCO5fJwrwncOORGioqKGDhwIJGRkY0+53fffZdZ\nzz2FytMJwaBGsUhI1WZHcdiFEjTDWiGGXFqeFvdk8fSou3jpxRcbPbafcr1eMwCJiYmsX78eJycn\nMrIy+G7PWkIe6IzaWUtNcgkpb+4ntKU/kX2DKDxTTlpCDs3bBRHQwp0T29OpqTbhPyCS2uQSTAU1\niIKALdAF/eRO9deLXGmi9sN4DE/0AUHA9P4BmoU1w2iso9hNhr7NHLoSZUZUG86TmZreKDUfSUlJ\ntImNIWJwFO2ndGDzgxux9wiDOitKWjkqEXQdg9B2CELlaUA22ah+ZTc2i/V3S+5fLX5N0dD62aQ/\nNZ72vhXX5TV4xZWC0tJS5s6dy/nz54mOjubZZ5/9N6u/DMeOHWPtpvUod3dAo3UIbIjhHtgOZeN8\nTzdEX2cs8dmIN8cit/ajdOVpUImobRC/90B9QqAoCtNmTMfcLwSxuTciYOkYwKcLP+O+e2bUi0k1\nBcXFxaDICG0DHMvTtRbk7SlQZkItiNdFQnC9oigKg4ffSKpTLcr0TshxWWh8nesTAgB1W3/Kd6TQ\n5a0J9a9rg5wxZ1cSc29XQgZFsvfRTej7R4BeS8GFMtSiikm33sZ3q1aiXChFuOh0p1glyKyA4Q4d\nfLHCwjfLlrJ44ypkVw3S44/y5OOzePmlOY0675OnToJKRCqtA5WIeFFIiSoT+Llg25CE4OuMGOsH\nGhX6C+VMvUwv/f8q773/HrNfmYPQzheVRaHuVA6t59yA+qK9tmsrX7x6hxHe3JNek9sDsGnuPry9\n9Ex4vAcjHujMy2OWk5NYDL7O0DUEDueicdE1SCCVWqtjKV4QEFQigrOWvj168c3SpTC44yXnP28n\npFA3vvvuO5588upv8Rw8eBCdh4G8QznkxmUj2SSUXWmODietiJRfgyIpSCV1CG467LszGT5qRJMn\nBL/JVVopOHHiBA8//DAqlQq1Ws0XX3zRoFg4Pj6ee++9l9TUVNLS0ggKCroqx/05V6yQmDp1Kh06\ndGD+/Pm0b9/+smIY/+K4uInyRNBekm9VRfsi51ejSDLqFj4oRTWodmUgnCxAK6kY0KMvxw8fq5eQ\nBqiuriYnKwsh6tKyvKDXoGrmxf79TVt3sGjRIvB3QcmqQP46AXl9IoS4gyz/oif6Xxpy/PhxcooK\nkLsHI2hUCJ4G7AU1DX5HKqhB7a5vkCh49Qyj/HwJAE4BrniH+zLaqzMrFyzGarJgMVtYuvgbXAwG\nlD3pSNtTkI/kIC89AX4u4KyBkwXIWeXUNHOmbnQkpgGhWCa25p0P3nNIEDcioiA65qNTo+8ZhjbG\nH+dR0YhlJiioQdWnGWIbP6QDWRj25rH++7XXXqb2OqGoqIjnX5yN5r5OaEe0RDW+FYpaRNQ2tL5W\nGdRINqn++7bDWpB6vBAAvZOGXuNboS43Q4QnGDTgpsd2phDz0hNYFhzEuigB46rTiBeTVLmoFqot\nrFi90nFHkH9prmU0GhtlzgEBAcg2ieA+4QxbcjOBPUMRBFBXmRCKakEtYs+rpm7tOape3kVAgcjn\nC/6vUWL5swii8Ke+fk5QUBDbtm1j7969zJo1i5deaihGFRsby6FDh+jRo0ejzueKKwV1dXX1VfHN\nmzfnyy+/bNSA/q6Eh4ejLrVgu2gvDaCU1CG46EAUkLIr8fL14dmpj/Of//znV1s7/2t6Y6m2gLuj\nMlhRFMQKc5O2bMmy7LiBlBohygtxQhsw2pB3pYOs0KdX09c4/J2orKxE5ay7tH8e7Ys9IQ/Ttgto\nOwcjF9dh23gB15/oPwCYcqsw+DgBIFklTCV1zJs77xc3TpVKjf729lj3pKOkGxE0IkpeFaxwfNjL\nooDSKZD/fvQITlpsUe5s3ryZdu3aNdq8Dx07jNrfBVtOFdZTBSh2GSGpBLnajOburo66GkCM8MS+\n+PQ/xuvgarB//36conxRPC5pwWjaBZC76ixRD3ZHEEUsJXWU7slg9KeXTHhK0svxDLi0r16YVYWX\nkxu23fnUVFXTt38/TnqaiOoQQLuRLSnLrGTbOwcw11mxbkjEnlxKkH8AJe4SpJbCoWzoH+ko7Muv\nhuzKRlOaLCkpQTLbaHtXF9K3XKDgUA4hw1qi2GXy47LwmNUP0Unj8HlYk8SA9v0JCAholFj+NFfJ\n+8Df37/+31qtFo1G0+Dn/9WnaGyumBQYDAaWLl1Kr169iIuL+1e86FcYPnw4Pk+7ULAjHbljAHK1\nGevWC6jb+GE/kY+0O5Ovly7/VYEWRVE4ePAgiYmJ3HLzLazcsQFL72AEgxbV6SL8Xby44Yamab1J\nTk5m8PAbKSwqBGct4uDmjpubN4ijo5GXn/5Xr+IK9OzZE3tZLUphDUKAK4JOjdAtFOFIAYZUE0HB\nwcz65P94bNZMCtYm4dkrFFNuFRmfH6X5uDZUpZWRufI8g28YfNkn6Ym3TOSb+E2oYv2x/ZCCqoU3\nYrgHSAr2vRno1BpsRpvjSfEiGgu/aaz0V1EUhdT0dBQViAYNbre2R+XvgulwDsZdaQ5zpIsIeg36\nQE+SkpIabRn070ZgYCD2MiPiTx4sdH2aUfXRQS7M2olzkAflyYWoBRW5Z4oxuOnIPlXEj58eZdIz\nvbEYbRzedIGz+7Pp2rUHcRetqBcuXEiJPYfBj/YEwK+5NxqDmg2v7UVKKQO7RH5xIWpff9TdQrAf\ny4Mlx0GnBpONJ2c+0WgPJCvXrUZQO1aXUteewy3Km6L9mQiigCrMw+HjgWPvXtM3jHXLNrDw0+tr\npeD3bh/sTSpkb9Kvdxz9l7q6OmbPns1XX331VyP7U1wxKVi0aBFz587l22+/pVWrVixevLgp4rpu\n2bNnD+9/NJ/yygpuu2ki99xzDxqNBo1Gw8F9cTz7wvMsWrwYxVmNOsAVKb8apdqMKCvExMRcdkyL\nxcLw0SM5euYEYogbUlYlYQFB1ByupK62ltGjRvPum2+jUqku+/dXE0VRGD/xJkpbOyHZ9A41w5/u\n33kaQFbo3r17o8fyd8bJyYlvlyzl1sm3ow73AruEPa+Kxx95jDvuuIOWLVsCjuThqeeeZvOLW1DU\n4B7hSda2FNLXJhLTqg3Ll/5SwtVqtTL3tdc5O/4sB3ceRBPgikuUF8bkMuy1FjSxgXRyCuN0fCqm\nAaHgrEW5UIoqr4aJEyde9bkajUY2b97MmTNnENQCil3GfVpHtK0c9Q6uI6OxZ1UgnSpA1S0UAMVi\nx1xQcV0Y2lwv9OrVi1CfALK2pKLqG4pitqNsy2DqHVN5cMb9FBQU0L17d7KysnjmhadZ8tVWLDYL\nkk1i5dw4lr60F224B2o3F6bfMa1+3NS0FLxaNHzKDGjli2yV6Dq9K0Xni8k+lIP9bCGGO7ugifTG\ndqoAqaCawX0G8NZbbzXKfBVFwWa2oihw6PXdWGuthLTxo9nM3phK6jjx0UEs8VnoezcDQK6x4up2\n/fmt/F5FwwExgQyIufQw9eraM7/4HZvNxq233sozzzxzzd4bV0wK/P39+eBaG05cJyxevJgHHn8E\nUztv0Gs48c7LbNy6ma0bNwOOG8HwG4ey5JsluDzZr8HNVFmdzIEDBy7rBPfJgk84mp2INK0tsiii\nSDK5q5N595mXmTFjRpPNDxxCIlk52ajGdUUsrEI6V4xilS7VSmRUgFrklltuadK4/o6MGTOGnIws\nVq9ezVvvv0Opm5VPdy7n/U8+ZOrkO/jkw4+IjIzk3TffYdv2bfRcMBKVzvGWtNVZOfjgZqqqqvDz\ncxQP5ufnc9e9d7Nz204UFDy8PNAEuhL8VH9ErQovRaHoi6OYyk34Nw/kvl69WLDgU2xWKy1at2Lx\nth1XvRbkzJkz9L9hIHYPHRZRQjI7+ujVQQ1vQppmntj3ZCC5OrbTDKfKuH3KFIKDg69qPH9nBEFg\nz45dPDzzUTZ8tB6dQc+NNwwhLu4AXy/8Ev+QAF598RWmT5/O6uXfE9G8GTc934eYgRFYjTZWvLyH\ntCMFjB4ztkHtV88evVj14gp6TJYRLy51J+/NILB9INFjWhM9pjXHFydwblc6pmUn0LQLRK40oa61\ns+iLxntafejRh9l3OA51txBK0stxj/CkzZSOADj5udD1qX7EzfkRXa9w5DIjyg/pPP5E03apNCWy\nLDN58mTGjRt3Rcnvxuxa+NWk4HJV7v+9yf0v6hTIsswTTz+J6YZwhIsaA8YIT3Z/t4+tW7ey8IvP\n2bhtMxqDFpvNilxpRqmzYt6XgVRmRKy2UldXd9mxV6xZja29D2RUYNuXgVxSh+Cm55OFnzV5UqBW\nq7Hb7GhkBVGvQdKokFecRmjjB0YrSlIJ2CTy8vKapMXt7463tzcpaamUutnQ3NMNQRTQm6JYumAF\nY0aOYtiwYWRkZOAR6lWfEABonLW4+ruTk5ODn59ffTdDdYRC54XjkG0SGV8nYDuRT+bjm3HvH4HX\nhBjc+jbD/Pkxhg0awr333su81+diNpsbrVPk9qmTqYz1QIhxJC5C10CU1WcxJeTiPMCRACt2GdOR\nXKbeOpnM/BxsZhv3vPYskydPbpSY/s74+Pjw3TfLADh//jxde3UjYkZHBrzYkZr0cp586Rm8vb2p\nqakhvJ0/sYMc70Gds5YJz/Tl7bEr+HbJsgarim3atKE4p4zF09fRfkw0xSllJO5MY9g7l9xvI/pF\nkLTlApK3EzaVgEYWmPnwo422tXPy5EkWf/sNuge7Ieg1WPZn4K5uuDfvEuKOvdpM5fM7cHJyYtbj\nT/DAAw80Sjx/iavUfbBmzRq2bNlCcXExS5cupW3bttx9993s2LGDWbNmkZKSwgMPPMDp06e57bbb\nuP3227nvvvuuyrF/yq8mBSkpKQ2+X7t2LfPmzaNbt25XPYi/A1VVVdTU1CD4N69/TVCJWH11jJkw\nDjHWF8OY1tiO5KCzWKn7KA67XcFlZDSagVGYj+fx0MxHWL1mNWtWr2mwt+vp4YGUl490sgDdqGhU\nEZ5I6eWc23iOhISEBt0JjU1ISAgarQbL7nTsZ4vA24DYMRgloxx0asSJbZGXnkSSpCsP9i8ArFq7\nGnF0aP0yo2jQIHf25asli3jr7Tc5eOgQVpuVyOJanPxckG0S+fszKcsuYePGjdTU1PDe/A/ILMii\n/TMjEQQBlV5N1L3dSHhgPdGzB5L9zUnKN51H7WHAWWuof1JUq9WNlhCUl5eTfD4ZpnWsf03wMKD4\nOlO39QL2vBrU/s6YDuYg11kYPnz4vytMf4DPPv8//G5ohm9Xx36+W3NvQm5vzdvz3+HO26eiNTT8\n+NYa1EiS5LBGvpgUKIrC0JFD6TSxDW7+zuScLKSmpA5Ro8Iz8lKHU1lKmaPrQC3iUmQlwMWPZ595\nttHmtmfPHmjphaB31LyomnlS8P1Z2kzpiPpiHUzu3nRUejW9uvfix+07f1F4d91wlQyRbr75Zm6+\n+eZfvN6+vaP1tEWLFuzYseOqHOu3uOL2wfr165k3bx6dO3dmzZo1/7PLfe7u7ri4uFBRXIvg5/iQ\nVSQZpbgOu0rBrUMQptVniB0cRfPe4eSdKeTIijOovJ2QimvRtw8Ek424owcJDA7ik48+xtvbmw4d\nOuDi5Ix9Zx7a/hGoL/adq1v7oVSaeeeD9+qfHJoKnVZH3ckCx4dEfg3CAD3iQMdTn3QiH0GjalK9\nhL87Lq6uVBqtDV5Taq2s/mE1zp4G1BqwWeDQo5twifCkJrcSZx9n3EPdmPfOXF6f+xpysDsGd12D\nLSlRq0Jl0KDSqml2V2cS5/yIRq1h8/cbmqQgWK/XO64Ri71BQaMgK7jcFItSbUGqNKFIEthkwsLC\nGj2mfxJFxUVovBq6p+q8nMjOTmTb9i2c2JlMaEcfOo9qgagS2fP1Kdw9XenTpwedO3cnLSeTvNxc\nSitKuOWOIQiCQMywliiKwoKxyzj0UTytx7ahLKWMwwsO4e8bwK03T6JDhw7cdNNNjercGhQUhFRY\nU38DUoW4YwtyY9dDGwgf0pza/BqKT+QTcn8PTq48y+rVq6+pE+Jv8U9TNPzVpOCnycDq1av/Z5OB\n/yKKInNffZ17H30QeoSBkwbleD6CXo0Y5EntqjNE9wxl0COOCt+wzkEIapEj357Er0swlfsykGwy\nBn9nagprmf7QfQgGNXKNBZWbHkGnRvRyanBMwdNATl5uk8+1XUxb9hw6AHo1QqsApOWnEMI8UIw2\nKDcS5Od/5UH+pZ5+3Xvz+fffoJrRDdHLgC21DFNcFkGdg6lKLuW518cwemJHCvOqeHTqN6hDPRj+\nwSgEQSA7Posj8+OxVZswGm3UZVbg3MwTgIqEPASNiM7fBcloQzbZWbXuewYNGtQk83JycqL/wAHs\n/PEoDIoCnQpOFaJUmNC1D0RQi1hOF2KKz0b0daawsLBJ4vqnMKjfQLa8sY3AgZGIGhWKopC39QLl\nhUVs3bKVDjEhJK68wPb5hxF0KmxmG15ertjkar5duZTqyloUwNmzYYL435WmwkNFlB8vx83NnZdf\neJmnnnqqSYqZwVFvo9x1J6YdKeh6hCFXmZFL6/DpEETB0VxsCES9diMadz2KVeLjzz+9bpOCf5oh\n0q8mBePHjyc6Oprk5GTuvPPO+tcFQbgmRivXA/fccw8PPvow9oRccNY6hH1K6pCSS9FqVTTr1rBt\nJ6xjEEm7M+g5qx+KrHDorb0UnS5EFeOPflhLBFHAnlmBcclx1GHu2I7noWrhXS+nqT5XztipTbvv\nWlZWRlhwiEND32xDCHJDbBuAkl2JoFUh51TRs0XPJo3p705ReTHO4R5UfRCHIskIGhWubXypyKqg\nZ+9Ixt/eBYCQcC/mfTqJSTd+zPYntlBbVIuTpwFUAvYKEwyM5MycnbjH+CNbJIxZFbR4og+CKFCw\n+TydunRi1KhRV4jm6rJ6+Ur8Q4KwLDkOioIY7A4akbIXdyA6a5HNdlQh7qg9DeTlXWOL278RiqLw\n2RefISoyR2ZuxqtDIJWJJZhLatGpVWxe+gj9ejo6WL5Yuo8nXlyJqdaKzctOcmoOGhcdoR0jCRoY\nyYm39pG0I402Nzq2Ps//mIa53ESvnr3YuH4Trq5NX9Gv1+sJCw8l5WAa1vgstO56Ika3xuDrROH+\nDKJeGYLmok6LqFdjMjWOeNJV4SptH1wv/GpSkJ6eDlzfGuFNTXZ2NoIoItzeDkFzcc/OYkf5OgH3\n9v5kHM6l9eBL3QUZh3Jwv7hvJ4gCzce0Ji8+G9cbour3l9XNPFE398bQMQhTfBamrxJQNfNAlVFN\n66BIHri/6QprPv7kY558+mnUgW5QWgcGDfLeDFRjWiNE+6LkVsG5Iu54+V+b2z+Cs5MLzlFeWMuM\nSIC6jR/m9HJs5SY8PBquDvkGuGGz2OnfP4KwFt6s/PIYpUYbilpEKTWic9bSqnMwxSmlGDPLKdyc\nTPY3J5BrrXgFNWvyubm7u3Nw3wFGTxhLXkEecnEtgkpAFeyK4KpDOl+K07AW1C0+Qb9+/Zo8vqZG\nURR27tzJjp07CAwIZMqUKX9KFj4hIYHcwhxu+2oCRUklFCUVExrmzpFFx2kZHVyfEADcdXsfnnlt\nDe9unsC8+zbTLMaP3hNak59ewa639tFycge2v7Wfg4uOo8gKik3ioQ+HcnRzBrdPnsTG9Vuu5in4\n3ZRVVIBdQlCrsNdYSPk6AVGvRlGLaC5aOstWidrtmTx858xrEuPv4n9lpeBf6dFfkpGRgZO/JzWa\nn4iw6NQoThoMgW5kxWezdd4+mvcKI/dUIac3nmfwh5dc6mzVlssPLICgUeEytg21685hP5qLf0gI\nCz78uMkcwM6dO8dTzz+LfHsMNg8DWlnBvjUZubAGadnJ+iIkBP7dG/6D3Dd9BquGD0EJc8Ptrs6O\nuoAboOa7U2xee5LHZw/Dy8dRp7Lk0/14+DgT3TGQ1x7ZhKqlD84TYrAV1WLem0HMbe1of2s7ZLvM\n0UUJpO5Mw26xEz4gktpzjW9zezk6duzIvFff4I7p03AeGY3axxnjvgxs50tRt/endukJunXoRGxs\n7DWJr6lQFIX/TJ3C1r3bETv6ojpk45U3XmX/7n1/eO7FxcW4B7ojqkRcfJ3Z80EKFpMNnY8zZxLz\n2H3gPAP7OPrYbTYJq9XOq9M24ObrxIMLHN4AHQHvQBe2rT6PwduAn68TeWkVBLf0wt3biclz+vDM\n4OVkZWURHh7eCGfk1zEajVRXVAEChpm9sGy9gJhWjkqnxl5rIfnxTehCPBDKrNx4w2AefuihJo3v\nf5krFhr+yyXatWuHpaQKpcZSL9eqVJpQWWSK9mXSZlYfKhLyiVtxhpr0CmRJpiavmsLjeeQczKEm\nsxxBLWDenoJ+RCsElYg9vRwpqxLxxhZUf3kM15ti0bbwpiaxhCHDh3L04OEmEbFYs2YNcisvhIsS\nq4IooO4djvXrhIstNwp4G6CwlrZt2zZ6PNcTx44d48MFH1NcWsLEcTcxZcqUP1QJ3bt3b6KaNycn\nVt2gUFDfNQQlr4qRPd9hwNDW5GSWcSGxiKBmHrzx6GY8o33xjPAkZ2cqQoQXmja+lF4oBWD/B3EY\ni2sZ/uJAAOK/OIa7k6OjRVEULBYLOp2uyYxjnp79HO7TOqOLcdSbaNv4UTZ3N/Yj+aDIfPrxgiaJ\n41phtVp5+JGHWfH9KtQBLrh76nEbHU317nQeeOwh9u3c87vGMRqNPPvCcyz77lsqKivY/d4ByrMq\nce8aQuj4NgiCQMXZQkbd8TEFp95Gq1Hz9KvfIwoCNRY7/W6IaPB/3rpXKCvejAO7TPfb29P55QhO\nH8rh3ekbeXLRWDx9XSkpKWnypCA/Px+tkx67ZMe44AiC2YY+wBVzYQ2CKKLxMOBp1bMzbn/9558s\ny6xcuZJvVy3HzdWNh+57oNF9AH4X/7CVgn/WbBoZLy8vXpr9IoZNaXA8HxLyMWxO54N332faxKmc\ne2UvRTszsOaamDZlGlFtAjn01l5Orj5LuV6NPdoXRQbxfDm1b+2jdn4cpuWnUPu7YNyVhvPQljj1\nCEPt7YxT32ao+4Xy3vz3m2RuOp0OUW74mmy2g1pEGNIcYWhLKKoDlCYrRrrWSJLEunXr6H/jIFbl\nxrNXncVjc59nzE3jf/eW2p49e4jt1J6k0+eo25CE+VR+/c/shTX4hbjyzDdjcWvuTNfxzbFLEqlJ\nxUSNjqb/K0NoN60LQz8eC9mVqFz0FJwtovh8CZlxWYx8dQhBbQMIahvA2HlDycnOYdmyZURGt8DZ\n1QXfQH8++7/PGuv0NKAwJx9tS8cyuT2/GtOBTFR+LtDcCwSR2tprs4rRVNx860QWbfseYURLpLYB\nlP1wgbK153DpEcbhuEO/e5zxk25iafwG9A+0J/DZ/mSklVN8oZSQMdH1N3vP2AB0wa6EtH+KwNgn\nSMwqwmi1oRsYxbnDeQ2uzZRj+YjAqCkdmfhAD6Ji/Bl/dxduuqcraz44TEl+Fbf851ZUajVtOrTl\nxx9/vNqn5rIEBwdjNpocqpc6EUUUsLjqEDoHIw5pjs1ZQ0FBIa1atar/mzvuupN7nnqErcYkVmTF\nc8OIoSxdurRJ4v1NROHPfV2n/JsU/EGeeeppfli7kWmxNzK9wzB+3LKNhx58kE8/WUBlaQXnEs5Q\nWljCE48/Qc6FEmRJQdSpETIqUFLKEHqGYbPb8Ij0xKVzEKHvDMcpxg97RgWan5njEOBMSkZak8xr\n0qRJCBfKkXOrAJAyy7EvP+UwZTpZgLIrHfycEcV/fkKQmppKv8ED0eq0TJh4M9YQZ9Q9QtG0D0S5\ntQ0Hjh50uGJegcTEREaNH0NqpIzhyb5oR0dTt/oc5uP5WE7kY9+RQfGFKo79kIEgwNqPj2J31oJa\nRcSwS3vGar2aZv0jsCUVEdUthM2ztuDkoUfr9BNfA4MGz2BP7r73HjKj1Mh3d6asjz9PzH6WNWvW\nNMp5+ikBoUFYzhdTvfYsFZ8cxJZbhVxuhIIaCHHjyJEjjR7DteL8+fP8uHsXUr9wlNwq5OQSlEBX\nKnekYskqxy/w93XrpKamEhcfj9u09miD3NAGu+P3YA8UWcFc1rDQzqDX8uq7t7L/1OssWHwvgiCi\nifUnL7eGr57fRdLBHHYvO8Oyl/bg5KyhVceGXiUtOwSSerwQm6BQ0ssDlxcGkBWjZuzN4zlz5pfy\nu1eb4uJi1Gq1wzDLoEUURVzUIkFBbqhPFoAMss2O1epo5U1KSmLN+nVYJ7RE1TYAVddgbKOieHTW\nzGuvmSKKf+7rOuV/fvsgPj6e+x97iDMJJwkMDebl2XOYfgVHsL59+9K3b99fvG4wGOr9r8PCwrDJ\nCi53dEIb7YuiKJjjsjAdzEaxSZhL6rCXm/AcF4PXuBgUWcF0JAdda4cynKIocLKEoRPGX/1JX4bw\n8HBWLPuOmybdggU7WGVUI6MRLxZKyhnlSFuTEf/heaTZbKb3gL7UtnPH5YWBKLVWjN+fwbwxCcO4\nGAS1CM08OHLkCBaLBScnJ7p27Yp4mTf5/E8+Qu7gh7qN4/9UFeGF5oYozGsT6dihI2+u34SHhwdf\nfPU5W5dtoajEiDi9C+KKM9QV1ODkc6mepCqnCoNGxagXBmCsMPHFlNVU5lXjcTGRrCqooTijGFtr\nPwi/KIzl64yxoy/z3nubCRMmNNo5kySJ0MAQDn99BNFZg+czAxAvJiy16xIxna2CdI0AACAASURB\nVC7AbDY32vGvNSkpKaATYdVpRJWIZ/9IZLtMRVIJZV+c4IN57/6ucfLy8jD4uzuusYuIOjUaDwMp\nnxxB7W1A46rF4OtCTVYFoyd0RRAEnpu5DEMbP0QXHbq7u5IYl0nikztxd3WiY89mWK02Dmy5QO+f\nJJoHtlzAYpVQD4tC3dwhfa1p44etxMgHH3/Il//3+dU9ST/DYDAgIiABQq0V/37NiLrL0YUTdlMs\nJ1/cgRHHlgE4rMi14V6Yf2KqJQa4YjKZKCkpubbOidfxDf7P8D+TFCiKwmf/9xnvf/IhtTW13DR+\nAtPvvIuho4ajmdCSwKmjsOVU8fjsp/Bwd7+sstQfYf/+/RiCPNFeFCMSBAF9r3BM21PwCwigrLwE\nt2hf8l/aiaGtP9aMCiwFNZRVxqGL9UedUo2/7NKk3Qe9evVCkRXoFQ4n8+sTAgAxwgtJq6ZFyD9b\n2njTpk1Y3dRoejv2WAVPA043t6XmgziszTwduvBpZbz0ykt4hXhgMVpx0bjyw+YffiH7nFeQj+Sm\nbZBGiR56IiIiWbn0O0JDQ1GpVHzy0QJiOrQFX2dEUURuF8DRj+Lp/kRf3ELcydqVRsHhHHzDPchK\nyMdmtqHWqFhx33o63ByDIAgkbkghuk0Mp5wrGk7ISUN5dnmjnrN5b73J2eI01OEeaCI86xMCAEO/\nZpjiMrn11lsbNYZrjsmMKAhEzhmM1teRzHn2CSfvrTimXlSXzM7OZvHiRZRXlDN61BgGDhzYYP+/\nY8eOGPMq0BfWoAlwtAmasyuQa22YdFYMXYOwlJsoWnUGbzcP+nWYQ12dCZvdhtQtGIMkI+gcegZW\nix2tl8CchePZtT6RD2dv5437N9D1hkhOxWWTeDQPvxB3Kn+mYaB46MjNb/zWUT8/P7p060rc3v2I\nWhH/QZe6tkS1SED/CDLyqtm4cSMTJ04kOjoae16Vo6X3on+DXG5Eq1Lj5eX1a4dpGq7jrYA/Q6Ol\nOEOHDsXPz4/XX38dcNyUH374Yfr168fo0aOpqKi4wghXl5deeZmn582hoKcrtePCWRS3nqGjhqPu\nEoBTtxAEjQptpBea8S144515f/l4arUatfCz06soYJd587U3iI5ujV/PUNrN7I1/mActJrYlcEAk\nUl41sUXuvPvoHE4cPtZkHtoARUVF6NycEAJcwCo12JtUFAVsEm+//XaTxXMtKCsrQ3ZpmCsLLjpQ\nFGw7UpBXJWKvNTHkxT6M+/hGJn45ksBB3tw6+Zc3vbHDR6FLqkC5+LQjSzL27WmkpaYR26UDAaFB\nbNiwAYBRw0ZAfjVKtQWhjR+W1n7sf3UXG25fjv2IEVmScWvrz/aPDrHn8wQixscgqCDh21MkbU7G\n2UNPTmYmTqnVYL9YHKIo6JIrmDB2XKOes48WfIxqdAsUm4Rc2XBFQK6yIKjEyxqB/VM4eOggrXuH\n4RzuUZ8QABjCPDB4uZKcnMzevXvp0Kkdx9M3Ua46zrR7bmfmzEcajOPm5sb777xHxbuHqPo+kepV\niZS/dxitix7vp/vi3KcZbmNa4zm9C67enuzZHUdS4gX69uyHcjiXqpd/pPqVH2mWUcmUXhEU5Vcx\nvv18Fr6+GxdXZ46dKODzTw4Tvz8Tv1B3Bo9ojXz8Ug2CIslozpQxfuRvm/FcLZqHRyBqRXR+LpiL\nGtacGHOqcI32Ydr0u6ioqKBz585079wVzaY05MwKpPMlaDen89ILs9FqtU0S76/yD9s+aLTIvvrq\nqwY3kG3btmE2m9m3bx8TJ05sNDvOy3H8+HHmznsDYVI0mihv1IGuqCdEU2GpxSbZG/yu2suJktLS\nv3zMPn36oLMKWI7koigKiiRj2pZCdOvWTJ06lflvv0/aohNYq8z49wnHVmWmcG86sqKQdOE8Hh4e\nTSJV+1OioqIcugtWCVy0SAezUOwyil1Gis9Cr9ExYsSIKw/0N2bIkCGYk4qQqy/d3KzH83Bv5YtW\nq2Fwi66ExQQT2slhFCMIAh1uakNSUtIvFPumTp1Kp/DWqJecQ9qVjrwwAUUF2oe6IzzUhbphodx2\nx39ISUnhmaefcXhgLDuJvCcdObcae62VZd8s48zxMwwZMpii4wV0fKw3PebcQMX5Eix1NlQh7phC\n3CktrUYfqMFNpcN5XQr6g/m4bs6gpd6PF557vlHPWV1tHaKzFpWnAeuZQswJeSiygr2olppVZ3Ax\nNE1b7bXC3c0dERXmwhpk+6VqXclkw1RRS2BgIA8+fB8PvjGAe17qz6QHu/PO2oks+24piYmJDcaa\ncc89HN5/kAe73sJDPSfxxCOPoY/1r9dFAdDF+pN5IY3w8HACAwP55NNP8TQ488jQ1nz7cD/GdQ5n\nQ0IBeoOeo7vncest/bBEe+L2bH+cHuuN63MDSCmuRRQEAqwytR8fxLYjDb48TbvA5kybNo2mYMsP\nW5CtEi7NvUn94iiVpwux11op3JVG8YFMEAQ8Wgewc+dOx++v38jsux4lOkNF91ofFn+8kCcef6JJ\nYv1N/k0Kfh8/l0Xet29fvdra6NGj2bt3b2MdugEJCQn0HdAPu6Ig/mSpTBAEdCGeyGdKUWyOQhVF\nUbDG5zJi6PC/fFy1Ws3OrdvxO2XE+tZBzHPjiDH7sHPLNgAGDRpE+7YdOP91AvGPbiZl6UmcOgUT\n+uwADBNbMvX+u1ixYsVfjuOPoNVqufGGwbA+ETwNKMml2BccxP7pIZSzRZhNRmw2W5PG1NRERkZy\n/4x7qZ0fh3l9IuZlJ5D2ZRB9WzsUi8Sdd96JbG/YeSBLMrIk/6IrQ6vVsmvbTlZ+/g2zR9yDq84J\n7bCWiM6OJxtVmAfE+rJ4yWI8PT3JTM3g6ZlPEKP4MrJFd86dOlMv7frD5h/o3aYHB57bzvYZ68hP\nyEPsEgITYhEGRSHc0YmS/BrKi8vYtXkbb09/itVfLuXkseONvto0cuRIzHvT0XYIBIMa4550Smdt\nofKjeBSbRL8+v6y/+ScxefJkUo4U4BvqTv5nhzHnVGHKrCDr/TgCAvypra0lLTWd7oMvmak5u+no\nMiCSAwcO/GK8mJgYXnn5Fea8NIe+ffuiZNc0WLWzZVXiE+hf3xYbFRVF3KGjWAK7syCuhhrfbqz8\nfh2KovDa22vYtP04qs6XPo8FlYi6azDLvjyMv58L7YIjeWHo3axcuIS9O3ej0+ka8Ww5qKyspLik\nFEGnxlprQW7mSdKXRzn8wDoyd6QgDmmBKa8aqc5ab+il0+l4+umnOX30BAd27eOmm25q9Dj/F2my\nmoKysrJ6Z0B3d/df3T6YM2dO/b8HDBjAgAED/tJxn58zG6lfKOKhbOxp5WguFtXIJhv29HJ69ejJ\n0bnxiG18EPPr8LLreW35K3/pmP8lNjaW1KQLpKSkoNPpftEL/H+ffEqPvr1QN/dCBbj3bYYluxJ9\nc29cJ8cy+7U5TJo06arE8nsZOGAgazesgwul0NIHYUAkgq8zaFTIXx0jLi6OgQMHNmlMP2fPnj0O\nl7WfcDWvmw/efZ/lK5dTV1BNQK8w3Me14fyi4wgqkfDwcOqKTZzfkUqrwVHIksKRr0/So2cPfH19\nfzGWKIoMHTqUoUOHMn/BR6BtmDhIGoE6o6Oy3M3NjXlz5zFv7i+3r0RR5MlZT3I88ywhz/Xk+F3f\no+pwydZW0KmRWvhgSKqgW7duTepmOv/d91kZHoI1pcwRR1EtqkgvpMJqlBoL0S1bXXmQRqYxr5ng\n4GDWrl7HjPunk38hi6ozhag0IhFt/fAONDB81DCcnZ0oyKokOMLhW6EoClkXygi/67f1Abp3747e\npqJy4TGcbohEqjBh35TG+6+/06AeISoqik//74sGfztu/ATWrvkesyyhL6lDE3bJmZVSI33HtCR+\nXTLr125iyJAhf2ruf5YlS5agbemDtpkHtQezEQLdUE/pVP9z6VQBKr0aa4mRwYMHN2ls/+Vy18xl\n+YfVFAhKI2oYL168mNzcXJ5//nmeffZZevTowdixY6msrGTEiBHEx8c3DKYRJJWDI8Oo6OeL7UgO\n9rRydN1CEFy0SEfyue+Ou5n/3gfs37+fQ4cOERkZyZgxY5p0jyq8eQTZZYWo1SKKSkTl54ItrQy3\n/hHY4/KprappsljAkbz5+PuCIKB6oKEwiLQpiUUvvs/UqVObNKYr0RjXjbObM5pAJ4yFNQiigFes\nP7JVZlBkbx544AGmTb+TyppKbBYb7dq1Z/Xy1fj7/3br2U0Tb2Fj0gG0ExwiNHKtBWHxWXZs2ELP\nnlf2kzAajQSGBBH0WFeS39yLekIMYuClVQDb+kT6Bceye9fuvzz/P4KiKIgGDbr+kQjOWkQPPYrR\nhlxhxLIvk3dem8cTT1wHy7w/oTGuGZvNhpeXB7JGxi3CE42LjuLj+Wi1GvQaHXoXgYdeH4yHjzOb\nFp8i64yZ48dO/aruh8lkomO3zuSJNZhlO0pBNZgl3n51LjNn/j7Z3y+//JLnnn+WkppK3KZ0RB3m\ngeVMIfatyby++hY2fnqK24Y+xIwZM67mqbgiXbt25axQgDW32rHlUmlCjA1AFe3rUFE9kInopkdn\nhpKi4iZTdv0tLnfNCIKAFDfrT42n6v3OdWkh0KgrBT+dcP/+/Vm7di1jx45ly5Ytf3kF4PdgNDoK\ntEzLToJGhaBTQWEt5twqwvyDeOWllxEEgX79+l0zXfbmLVqQayxDFeyG86R2jptFjYWq9w/QoXW7\nJo/H29sbQa1CkWWU0jqEi21xiiRDQS0xMTFNHlNTU1dXh8VmQ/F2wmV4K+z51RRtTEItwEHrATaP\n2cxXn39F27ZtMRgMv0v2efv27Wzd9gM2rYx9fjyitwE5p5pnnn6Gnj17UlRURE1NDVFRUb+qQujk\n5MTirxYxeeoUR+3HzjTkYS0RPA3IiUWQXUnfSU2/VF9QUACKglxah6FPM8Dx3jctOwmSdNn23X8i\nFosFs2QjdloXwi5uFdTkVrFv5mYe+2Awx/ZlMO+hTUh2uO22//DVjtd/Uwjsu+++o1CpQTWpDS4X\nrwnL4RwWLvqS8PBwsrOzOXbqON06duHOO++87DbR3Xffzd13382aNWuYOPlWRAHCY/2Y/PkofEPc\nKM2tu2Iy2xiUVpZiySpACPNAM7YNSm4V9g1JKEU1iO569JPaOVp4l5/n4MGD12y14HdxHdcH/Bka\nLSmYMWMG8fHxWCwWEhIS+P7779m0aRP9+vXD3d2dJUuWNNah63lk5mOUG+yo7+0GGhVKRgXWnSkE\n3N+d3IVH6TOoH6eOnrimCn2zn36O3UMHY7ijU/3NQHTVoe0aQvvwpteKT0hIQLHYQS0gr09E6BWO\noFcjH8sDSaFLly5NHlNT891336GL8sFtckcAdC19EJ21WDclYTGbGfR4V6ZNn0Z2Rjaenp6/a8yn\nX3gWS99gVM29obgOpcaCQdTh7+PL8NEj2b17DyqdBi83d1Z+u/xXVw7GjRtHRmo6kS2jCO4dRsa6\nc1irzHi18cMlJpjQ0NCrdh5+Lx4eHqAo2FPLMH57ElW4B/aUMpQqM4gCkZGRyLJ8WS2HfxImkwlF\nVggdeKk11TXEHc9oX958fBO+gW5YrXZUoorHHplZb5Rkt9tRqVS/SAaPJBzFEu6M/ievq1v6kLz9\nIBPvuwPFaEPVI5QNx/fwzvz3OXHkGN7e3peNbcKECTz9+CzWbfuWyc/3wN3XmbUfHaOuXLomxcOB\nvoFk5eQgNPN0zPtivZdhaifHQ4miIFvtSLWW+m3n65WmkhJvKhrtXbpw4ULOnj1LSkoKa9asQRAE\nPv74Y/bt28fGjRt/94fpn0VRFJZ+8w1yv3AErUNzXoz0ggBXytcmIhut5FWXXHMb6AEDBuDt441i\naljAp7Hyi773puDZ2c9DtA8oAujVKEdykLenQGkdI28c1uTxXAtOnzuDqkXD61Pb3BtLrRXPMA9+\n/PAQenctO3bs+N1jpqdnIAS4IggCgr8LYnNvzP46Pv7sE3ZnnMRyWwzGW1qR20rHsJEjqKn59W0j\nX19fnpj5OHWp1Qx7fyST1k2h5ZAW1GbXcMstt/zpef9Z0tLSQBZQJBlVkCvUWtG09Ea22BFsCoOG\nDkGtVuMd4MsH8+dfl0umV4P/CvLYfvJers6upC6nkhbtA5nyZG/mb5mCi4eWr7/+muXLl9MmNhqd\nTouvnxcvvzKnXqwHoEPb9ujyTA2OIWWUIwa5oru3G2KsP0qZEXlsC8q9ZN57/7cl0V95+VVuG3c3\nHz6wm1lDvkUoDmTvrv1/yMfjalBdXc3ZpHOE9HEoQIKj7VcIcce8+TzWuExMH8Rhens/llojVVVV\nTRrfH+bf7oO/B4qiYLfbQdNwioJOjTbABY2fC2abhdTU1GsU4SUef2QmytZ05GqzowPiQgnS6SIm\n/2dyk8dy5MgRKDEi3BCJekon1NO6oLqtPcgw/4MPmjyea0HXTl1QEssa3LzMJ/PxjvRkwIPduXPJ\nzZiNZtLT0ykrK+OLL77gs88+Iz8//1fH7NSpI0r6JREhRVFwyjeTkZqOpVvgRQdKASK8UHyd2LRp\n02/GOPv52dwxegq7Z+5g9c3fIR228uP2H6/JU9Urb7yK840tcBsXg+1YHtbThVj2ZIBdQtSoSfQz\nonq4J9VDQnjhzVf48ssvmzzGpmDNmjWgEjjzySEs1WbyD2Vz6Llt9L+5DW1vaMay+QdZ/uEhBk+K\n5ZMFH3HPPXfi7iXj6m5gyPho1m3+hrlzX68fb/LkybjXqrCvT8aWWoZ5fyamrclo+jZDEAQ03UOx\npzjap+3NPfhx/2/XkqhUKl54fjYFuUUYa018v2rdNVlZ2rRpE96t/Yi5qwvqUiP2XWnIuVUIga7I\n54qRThTgOqMbnm8MRTuhNWNvHu9IPK9X/k0K/h6IosjQEcMREwouiXOUG1EyKvC+KZbQ2YOwFtf8\nonXyWvDUrCe5a+ztmN8/jOm1/bhuL2TNitVNal8dHx/PLbdPotZshAoTQotLHvCChwEhxI3Dhw83\nWTzXkokTJxKq96Hyk0OYEvIo/zCOug1J2C0SX/5nFXFfJRAzsiXHjh2jWWQ4Hyyax1ebPiY6phUr\nV6687JjvvfkOTidKUcXnIicWo9+STgufEEci8LPqZUUlYLH8is32RVQqFa+/+jqVZRXUVtdwJP4I\nHTp0uGrn4PciSRJHjh3Dnl2BVFiL58O98HmmP26TO4CkILTyRWzth6ASHZLRaolHnnycpUuXNngq\n/rtz+vRp7n/0IZReoVQll7J7xlrOzI/n3ndvZNwj3RhwWyyzlozj0I5Uvnv/EB3aRzFiZA8uJBbw\n6ruT2L/tAuOmdODjTz6qH9PFxYWEQ0d4YOAk3PcUY0/IQ3dbBwS9BtvRXOzniuq7WYRiI9Etrn2X\nx+/BZrMhakQEQSByREtcqs2IO1KQD2ah9jTgNCEGdYAryDJSUS0mwU7vQf345ptvrs9Vpn8Nkf4+\nfPnZQiKNzui+S8T23Unsy06ictNR+NkRao7k4BTlw4kTJ+jRrxfBEaHcNuV2MjMzmzxOlUrF+2+/\nS2lhMamJyeSkZTJ06NAmO/7q1au5cfRwNledRjuqFWKwG8qm8w0VDWss115OtInQ6XQciTvE9Bsm\nYl55DqH4/9k77/Aoqq8Bv7Mtm7LpCSEJoSQECC0hdIJJaEpHBEE6ggh+dgQVFEFFBREFfwooUpRi\nARSR3kKVTugQAgkpkEJ63zLz/bGyEAgSMMkusC/PPiSTuXfOzJ6dPXPuKQV0nN+H9rO702FBH66c\nTOXyvkTWb1yHg4uSa5dSSUu4Tr8Pn+D50SMZOWoEw0cOZePGjaZrGBISwslj0bz0xDP00DRk1psf\nsG/XHtpHhCM/mWasdglwvQBDYjbdu3cvl6wymQy1Wl1JV+LfkSSJZwb0I1OXg0cLX+ztlWTN2Yc+\nNZ+SU6kgCIgORte04Wgyhp2Xoa47xS29GPvuG7ww7kWzyF0ZLP3pR8RG7ihb1kD0dsS1ugbRIFK/\n9c2HjotHryGWiPTtFkKgnxPbthzl/17qw4wpa3l2SGvORieTlVnaVR4XF4dCJmNo/+dQFYP49xXE\nlSeorwCPq7koDRLaPXHIj6by9vgJVX3aD0T37t1JOZ5E1Cvr0CbmENTBH42rLSo7FYZ8LbJ/2tLn\nL49GF5eF3TONyA+vxv9NfpOpH1VMuriVu1OpKYn3S2WkCUmSxO7du+nwVGdkvo7YhNcGg0jR1lhI\nL0Aul6OsZkdJWgEyhQyVoCTu4uUyc84fRSRJokadmmRFeqKobfzSlwwi+V/tQ2hfC6GWM+LRq3A0\nGW1BMQqF5bXLqAy9ucGAwQM4p4mndrebT2EphxI59uVeQtvUJC0pFxcPOxxcbIk9n05uegFdnw9B\nqZaz+5eLDHl2OJ9+MuOu8ycnJxPZuSPJ6SnGYNj8En5avPShKMyyb98+egzog99H4cj+qbiXfSSZ\nxCVHEUUJKb8Ema0KUacHEWSDgxGcjQaMVKJHteI0506eqVKP2A0qWmdefeN1Fhz7E0X7WkiShCHm\nOtKGC7y74mm8/V0x6Ax80HUlq+aN4Yk2dQE4cSaJjs/OwUFjR+sn/ImLS6Waaz3Wrd0AwMcff8i8\n+V/z9HPNSbqSyYY/jqG0U/Dqb89i52S8jtvmHebSzlTW/f4XISEhFXY+lU3LNi3R1y6h7RhjPQ3R\nIPLbS2vJySrCIAhgEJFKDDi+HX6z10F2EYb5x0hPSavyaq9w95REMXrKA80nC/7QIj0fj7SnAIxv\nmre3N3K5HPuhIcYyx7VdUagVqBxU2LrZor2Wh1Ipo3rLGig9VDz73LPmFrvK0Gq1XEu8iryWC2JG\nIdoDCehOpSCr6Yy4/gKGbw8iHU2mXp26FmkQVDaSZNQhfbGOlMNJpEVfRV+iR4mAl4cTn859lqHP\nt+fC0WukxWfxf3Oe5KlRwXQc3Ji3lnbl23nfloo1OHbsGN988w0bNmzAYDDg7OxMzVp+CAYD9k5q\nBCAjs3IbGFUUhw4dwq6xBzKlHH2BloKY69jVccGQU4xUWAJKOfIgT1QDmoCDymQQgDG2x8bHldOn\nT5vxDCqOQQMGIh67hphbjCAIyAPcEDUqvn5pI9E74ji86RK2CqXJIABo2tCXev5eXE/PYf2aYyRd\nzmfOl/8DIDExkdlffsEfu97AxlbOtm2nsPdzpGn3uiaDAKD1gEZkZ2Y/VAbBzFkzOXHqBPW7GK/F\njS/GWq390GUXY9vaD7uw2sh9HE0GAYDM2RaUclJTU80i912poOWD2/sF3UpiYiIdOnQgMjKSDh06\nkJxceU2rHou7/KVLl9DU8kD852mm5GAiGgcVRbklNOpal4ZdA8lOymXTJ1EUZRWzN3EvxcXFJrds\nfHw8r775Gtu3bsPZ1YU3Xnud8W+Mv2cqSmZmJiqVylSm0xJRqVR4enuRseECupMpCP6uUKRDSsgG\nGznYK6FIT8K1JHOLahZGDh3BgOHPcXFFNH713dEW6Um+mIFcJuPIvjiiNp1j5P+F89k3z/LKsB+p\nVutmoJ/GxZY6jasTHR1N9erVGfXC86zf+CdB7XyJ/zodleBA+/BwzuVfptk33ZEpZBRezWX8O2/R\nPiyMBg0amPHM701AQABF32aSsvYMaetjUFRzQJeaZ9QbGQgqBfJO/qAToUSPlFuM4PiPp0BnoCQ5\ni6CgIDOfRcXQunVrukR0ZMP8TciqaxDTC8Ddlix7G1Z9ehgXZxeyc4rZdzCWxGtZNG9ak9p+7sTG\npSKXyxgz5iU+/vhj0z1n3759tGlfj9zsQhZ8s5PWs7sRs+IEOddKNw7KSy9Aq9di76Jh7qyvGHWP\ntu/mJiUlhfemTEGQQ0Z8FnH7rxC96jQlOSXI7ZTYPVEbh851MVwvoGDrRaRiHYLauASlv5pLUX4h\nGo3GzGdxGxUUNLho0SK2bdtGUtKd99r//e9/jBw5kqFDh7J06VK+/vprPvvsvzfuK4tH3lMA0LRp\nUwqvZCDma40bLmXiXMMJr/oetBwSjL2bHT5Nvej6fiQOHnYobRVs3LgRgOLiYtqFh3HW5grN5jyF\nz8uNmfndbD6d8SkAZ86cYd26daWeBi9cuEBIq+ZUr+GDm6cH/Z57lrNnz7JhwwYuX75c5ef/bwiC\nwDtvTUB3LBnF4GAUneui6BWELLwOaGyMHQLVCkpKtOYW1SxEREQgFmt5/7tezPz5Wca8F45Go+bX\nra+w4+Qk/tj9Bht+jybpSibFxXq4xRuo0xpIOJ9GQEAA69evZ8fezbw4pyPnopNIycjh8tUEFi9Z\ngvcz9ZEpjB9FO29HnNt4s/CHhXeRyHLo2rUr2vQC0rZdwuXdCJzfCMNtSifkbnZQYkBwsjWmYKrk\nKFrXQFx7DvF8OlJsBrbrL/PM033NknZbWSz78Sfc3dxQFxmwlcupY+uATVw2GalZ2CoUaBzsGTh2\nIav/OkrbHp/TvMsn2Ns7cu1aOrNmzSoVG+Lj48OlmFR2bTtHtVa+5Cdkc+1QEhePJHP8rwsY9CIZ\niTmsmb4LQ4gPxW28GT3uRQ4cOPCfziEpKYm+z/bDwdkRn1p+fPnVlxXq4l67di0G0UC1gU3YOWsP\nZ7ZdounUjoSvGIDSzQ7lP0uYcnd75NUcyPvf35QcSKB412UKlhxF6enA/AULKkyeCqGCsg/+Lejd\n3d3d1BogMzOzUgtOPRaegurVq/PqK68yb/H3lIR6IBbqKEjJx7eee6n9XGo4UZhZRNvnmzHlwyn0\n6dOHP/74A8FDRc1+xkp+Kic1dcY1Y9b0L9i7fx/7DuzHqZYbGRdS6PZUVxwcNfz622+I7XywmdAO\ndAbWrdvLmmZNUbtoEAtKeObpp/lx0VKzFk26FZkgQ17LFUFzsxGKrGE1xJ2XkT/TCP2SoyiqOJfZ\nUti9ezcBDb1p2NIXgJ1rzjH61QgCg7wA8K7hwqvvduF/M7ZSo0Z1vnl5/Q4E3QAAIABJREFUGz3+\nrykqGwVbFp2mQ2RHAgMDmf3lLFr0rMX8t7ehDfXFxskG3brzxidosfRNVzIY+O77BXSI7ECdOnXw\n8/OziDKvtyOTyTAAdp3qIv/HpS2zU+LQvQE5v55AvJqLmFOMzEmNsk1NKDGg3xVHYGAg49+bzvPP\nP2/eE6hgXFxcGD1iJPv+3sAvv7+Dg4MtF2Ou0q3DJHxdRLw9PFi3ZAxyuYzcvGKad/2C6Z98WeZ7\nGxYWhrOjB9s2nEFbXMSldedx7dcIlY8j234+yR/TdyO3UUBIdQj1NtZhSS/g7XffYdfOqAeSv6Sk\nhNZhbUnzkiH2r0dxvpb3v5hOUVExk9599z9eHSPx8fFomngZO6/qRWr1b4za3R6ZQoaNkw1Fx6+i\nblodAEkmIAvyRBufBQoZqmcaIeVr2bh9C5MnTaoQeSqEcmYSRB28TNShuAc6xOjRo2nTpg0//PAD\nWq22UjPBHgtPAcBn0z/ht8XLedo1lPYNWpB+OpWYHZfRFd9snXxu80V8g70QZAJXkuJZuXIl165d\nQ+lZOqjFtpoD2dezOHbtNC4d/Ui5dJWi4mJWr/uDZdt/p1gNqtZ+CHIZglqJTc/6SKKITiNDayuw\ndtdmFi60nCfBVb+vQcy7mQIniRJSQhZIIvq/zoHGBu9q3v8yw6OLra0tRfk3vSQ6rQF7h9Jd5Ozs\nbbiamM2U9z/indemcuCnNLZ+G8/gXi+y/KeVALi5uXM1Jpv8Qh2yGk7k/nIKm671ULaswaWfjmP4\nRw/zLmeStucKRcXFDHl5GE1Cm+Ds4cITnSIrdR3xQViyZAk6DKbfxdwSxHyjHsk1ahAlSpYcRbvl\nIiXrzqGPvoptDTfeevUNXnjhBYsxiiuSP9f9wdTpg3FwMN4z6gZ6M+KFJzl9KZ1Jr3RG/s8auaNG\nzWujn2Dbts1lziMIAhs2bCGobhuunbhKfmIOSg971DVdqPZ2OPLqDhi610Nq7mtaxpSc1Ow7uB//\nwNp8Puvz+075/Ouvv8hT6pHa+BqLCXlpKO7gx4xZMyvMWxASEoL2Wh7Jy48jGiTOzD/Inhd+59Iv\nJ5HbKdHFZpC9+AhFfydAnjEuRdW9PqonA5F5OyJkFBFYJ+DeB6pKyukZiGgTwNTXOpte98PEiRP5\n7LPPOHHiBB988AGTKtEoeiw8BWD8kN3oVieKIu5e7hQVFLJ0yK8Eda1HVmI2V0+m0nNqJBs/3U39\nrv4s/mkxX8z4gqmfTqPGwCCU/7S8TYmKx9bJHslBTuLuOGTd6iF3sEE8cQ394STkNW8rIKOUIchl\nOA4LIX/1GYq0BhYv/5EXX7SMlKyDBw8gKSQMhxIRPB0wbLlotH6VCkgvAJ2BrxfPMbeYZqFdu3bo\ni2X8ufgY3YcFExpZi0Vzd9Ht6aZonGzRluiZP3sHwS1q8NaEN9i5YzejR4++Y57nR45ibuhcRLVA\n4Z44bNrXQlHHFXkNJwrWnWP/mN+xcVIjFukAiSe/7YXG2xGD1sDeT6M4nHiGzt2e5Ez0KYspq7p4\nxY/IfDUUbLpAydEk9Cn5gARyGTIXNUo7G8Sm1Yy/O6uRN/NG+j2myjvyVSWSJN3x/shkAkqFnOzc\n0tUJM7MLsbe7e5aTq6srCxcuZt2mzaTnZZITFYc6wA1BELBv5EXu6VSk6sYqmZJBRHYmld4vhRIQ\n6s3caTNZsHA+y5Ysp3Xr1nc9xq0kJyejc7zNI+ikJi87B4PBUCGBxkFBQRSl5IFCjqJfY2TVHJBy\nS0hYcxpnP0cEN1vkvk6UxKSjrOdB8d8JCHZKZDVdEOMyUR1P461v3vzPclQoFViI6G7GV05OjqmE\ntYeHx127DFcEj42n4FZkMhnfz/seG6UNdVr4EL36NHH7EtB42PH7u1tp2L0e7rVdQYAmTZowYsgI\nTr69ncvLThD79RESfz6DtriY9L1XEAp1SFnFCLZK5K39jH0CknMxpNwsU6s7dhV5NQfkGjXqZj6Q\nXVQlPcvLiyDIkHWpi3guDcOfZ5F19Ec+MhTZCy0Q6nuCQk79+vXNLaZZkMvlbFy/he3LLzM4eB7f\nTtqGgEB4o+k83/c7OoZ8ipuHA9+ueJ6RL7dj9pef3zFHdnY2SUlJzP9mAWK+DkNKvingTlDKUfdt\nhKprPRxc1DTtEUjdHvXReBub28hVcpoMCUHMKSI5I5Vjx45V6fn/G1fir6C7eB1ECXVDT6p/0ZXq\nn3fFPqwmYnohCpkc4XgKythsVGnFKH6P4eOp0+5oIf4oMXDAID77eBWFhUaPSdzlFJZ8v4VBXYN4\nc9ofxCVkAHDwWDyzv9vJ7t27/rWkNUD3rt2Q1XSjIPY6STN3c33NaQqOX0W6lAG/nkLaE4f003Hq\nBrgQOagxtRp5Mvbrp0hMTKRLty4cPny4XLJHREQgxGUh3eI9lS5cp0loSIVlHk2e+j7KGk7IQ32Q\nVTMGYAuONsifqE3W2esY4rIo3nEZUWdAYRBwsLGlcYYj9qtiaaP1ZseWbY9McOrtjBkzhlmzZrFk\nyRL69u3LiRMnmDVrFgDvvfce7777LpGRkUydOpXJkydXmhyPfJ2Cf+Po0aN8t3ABp06d4kL8BdqO\nC8WniReSJLF+wg5mTZvNwIEDATh48CCbN28mLS2NH39bRoPxbXD0dyX7fDrRM3cjda2HzNsR/Y/H\nsA10oyj6GnIfJ6RiPVJ+CU5jW6Hw0lCwMQbd34ksX7jULHXqbycvLw8XT3dEXw1SoRZkMuR9b3ZC\nlLQGxO8OsX3rNpKTk3n/o6mkJl+jeauWfPPVXJo0qfpOjrdTFXojiiITJ07gh0ULKS4qwcHRlr6D\nQug9IJSA+sagn/1RMSz68hS7d/1tGvfVnC/54IMp1AjwIDnuOmpbNSkp15HXcMZuRCiCTEASJQqX\nHsXL0QZbjQqFl4amz99sPJUZm8GuT6LQODvz6zdL6dChQ6Wea3lISEigZp1aAMjsVXjNfOqmG1uU\nuDZhI0KXAMjTIkZdRiGT06FTR37/dTV2dnZmlNxIZemMVqvl+VEj2LRpI56ejsTHpdCqsS/XrhdR\nWCKRmZWJg70NKqWCme/3Yc2G0zRp2ZP33nsfgPPnz7NlyxZcXV3p06cPDg4OXLt2jeatW5Kt0lMo\nlkByHhoHJcPHt2PJzL3k5xQTEFydN5b0uvkeSBJvtl1E3f6N8c/344/ffi+X/C+/9gpLVi6juI4G\nmyKQJ+ayc+t2QkNDK+T6OLq7oPW1Re9mhzzk5pKkmJSD+Nc5bJ9tgphVRMmmGOSCjA/em8LkSZX3\nBXg/3LVOweW71yH5N2R13rbIOgWPtVFwA0mSmPz+ZObOnYt7TTeuJ2Qwbtw4Zn468w5XYNde3Uj0\ny8K7g79p25V157h8JBnCaqH/4TCCTMClT0P0WYXkRl3GoU9DVPU80J5Pp+CPs4x7cSz/m/u1RbiB\n161bx+DXx5An10FsBnhrkLX0QyrUIvg4gY0cccEhvl/wHa9PmoCuSy1kHvYYzqVjeziNC2fO4eXl\nZdZzqEq9MRgMFBcX8+WXszl6+i9mzL9p2E0bv5YaHm347LOZABw4cIBefbvx/jJjm1ptsZ4ZL/5F\nhqeG3DNpaHNLkPk5Y7icCSo5NvU9IC0fXWIOnWZ1xcnPGX2xjj3To8i3VSI/k01q8jWzFG65nbcm\nTOCLtYshOReZrQLnfo0R80qwaeCB3MOelPe2IjwZiOBhj3jsKqoCLWqFimeCO7Fw/nfmFr/SdSYh\nIYG4uDjS09NJTEwkNDSUr2bPpE8HNzqE1cPL0xG5XMbWXeeY/s0Rdu35m08//YTZX86ie+9QUq7m\ncPpEIlu2bKd+/fqcPXuWnTt3Mn7imwx+pQ1dBzflzf4r0brYoqzlQsb683y0YRAO/3QbPBkVzy+z\nD9DopdZkrEjgzPEz5ZJbkiT279/Pxk0b8XD3YNCgQRVWyM1gMGDr4oCqpQ8FBxORt6gBegNCDSeE\nw0nYFOoQw2ujauRF0bLj+LeuwZXVFzgdfcosBa5u565GQfyd3sHyIKs1wSKNgscmpuDfEASBTz7+\nhPFvjOfixYsEBASY2preTmZWJqompW/KNi62kJaPfulRACQbBVnrzsE/UeWag1lod6fQsG5dPt++\n06L6y9vb2yPoRISn6hqDC9MKEHfHgbMaKeoyeNgjVyn56tu56CJrIPczxksomnljyChh8eLFvFtB\nkckPA3K5HHt7e15++RXatvuJV4Yup21kHQ7vS+D8yXS+3LfatO/Pv6wg8tl6ePgalwJUagXPvdma\nzydsJ/CjzuSfTePar6ew0ygpCaqGOsJoaApHk9n6+nrUzmpKcopROtlBgYGVK3+xCIMAICU9FcHb\nEUmtQLpwnYIdl1B42JO77hw2DTyRDBKC+z8eAQ87DEnZqMc2ZtnUZXw/b4FFGMSViZ+fH35+fqW2\nLVu2lKupmfhUvxlzFJ+UiWe1asTExPDF7M/ZdfgjqnkZ//7D/G0MHz6E9MwMcgvyKCksQZIkeo1s\nxl/LotG62VHj/1ob0z71Bj58+lfCnmlAXlYxx7ZeJnTiE6QfTCai3RPlllsQBNq1a0e7du0q5kLc\nwqlTp1AoFBTsj0cuQvW8Yhx9HLm07jxKjYrCzCIc6hhTEgV7FXKFjOqt/NiwYQMvvfRShctTYQiP\n1iq81Si4BTc3t7v2I79Bv979mPPrN7g2rY5MLkPUGbjy5znEjCLcPT24np6GUKJH0hpQ2qn5bt48\nRowYUTUn8AAEBQWhzSlAWnjYmGPf2AtZu5pGqzivBHF5NI6OzqSmpCK0rFVqbIlGTmLy41nUyNnZ\nmYMHjrJ06VKiTxylU/vBLF80EicnJ9M+MpkcUVf6SUA0SAiC8earaViNTJ8rkJCFfu8VtK52KOq6\nI6gV2Kht+XzKDARBwNHRka5du1Z6u/H7oXNkR36e9CdisRbHpwJx6mGMOTHkFHP1/a0QUfvmF//F\nDGwC3BAUMgx6/b/M+mgzbtzLPPVkR4ICvXgqMohdf19k2uzNLF+xiq1bt/JUj2YmgwBgyMhwJo3/\nka7TOlInrCa6Ih2bP45ixmvrkeQCDs28TdfYq28jBHsV2386hb2nhtq965OyM4H8c9lMPmAZ7nc7\nOzu0Wh1KhYIWw0No9LRxmbL58Gb8POw3VO1rIbNTIeYUozuXhseoUGKiT1hesaLbsRoFjzevvPwy\nGzZvIPqtbTjV9yDrdCrNG4Xwy4GfcXd3JzMzkyNHjuDv70+dOnUs+olIkiQ6PtUFMcAFRbPq6Bcf\nQRbqY5JZ0NhAoDtN3OpTvYYPv5/+G54wBolJehHb2DyefK2LOU/BrGg0Gl5++eW7/n3woCE81X0J\nbbr5413HhcJ8Lctn/Y1dC2PNg8L4LHIOJSJ3Vhv7cfx+FlGrJ7BBfeb+/FuVNsW6XwYOHMgL/zcW\nQ1EJmk43l9LkTmrsWvhQ8HcCYrEeKSkXIbsI+6HB5K47T/NWLSz6M1GZhISE8NOyn5n07ls8/fx3\nBDWoy9f/+46IiAhSU1O5lpxdav/UlGxUNkrqhBmNdJWdig7jw1g84GcatvCm6FImtL0ZtCkTBJ7s\n2pVunZ/i78N/06hLI0b/MtpiGpldv34d0WDAUKinQfebgctqJzW129ciZv8VDNfyMFzOpF7/xmSd\nv8616ER69uxpRqnLgQW3QX4QrEbBfaJWq9mxZTv79u3j7NmzNP2wKS1btjTd6FxdXenS5eH4oty7\ndy+J6dcQn61nlF+lgBI92N6SllSko3bt2nz44Ydsb92CvLSz6D3UKC/l8kSb9vTo0cN8J2DhhIaG\nMv2jGbw9aALu1R1JS87Cxc2VnK3x6I5noM0sYuigIazbsJ6skkLqN27Igq+/tajlpbsRHx+P3qBH\nsFNiyClGpr6pM4aMIpDLEC9nwtU85H5OpH8ShVSo44JzLps3b7Zog6cy6dKlC126nLxje69evZgw\ncTzz5mxkxJiOpKZk88oLC3Gr6VLKiFLYKJAkieR8HTnHUxA0NjiHVKcgJoPMdbFM27aQZs2aMW7c\nuKo8rXIRExODwlEN+SXkpebhXOOmVyQnKQdsFEgFWiSDyIWfTyDIZRhEiXEvv8T387+z3HLxVk+B\nFUEQCAsLIywszNyi/CeuXr0KTjY3PQONqyFGxSHrEmA0DC5lwpVsun3ajevXr1NUWIReLkefUIxC\nD0jG9E4rd2fMC2MYPGgw58+fx9fXl2rVqhEfH09qaipNmzZFrVYjSRJ6vR7lQ1Q1MjY2Fnk1B5SB\n7mT+FI3byFDkTmry91+h+OJ1YyxKn4aI2UXofzkFdd0QgquTk1FI34H9WWPhnpCqxtbWlu3bdvLK\nK+OYNnkMTk4ahgwdwukli8m8koVrTRckSeLIshPY2Nng2TEAn6cbEv/zSdI3xhDWLozVW3bQrFkz\nc5/KXQkJCUGXWYiTt4ZtH++kwzvhOHg6cGbdOTLis5DXc8euV0MK15xGzCnG5slAkMv4c+8erj3d\nm6it2819CmVjYUbByZMn+e233zh16hQAjRs3pn///uXOFLNmHzzGXL16Fb86tRCGBSM42CAZRAzr\nzyPFZxmLF9kooEiPvkRL+44R/E0yQkNj+p1kEHFYG8sfy36lY8eOZj0Pq95UPVevXsWnlh9O74RT\nsu8KJQcSkEr0CCo5UokeFHKo54EgA6nEgLzLze6A0sXrNMtx4fC+/1an/79gyTojiqIxeFAQWLJ0\nCa+8+greDbzIS8/H3dGd9ydN4fOvZnEp9hKhzUP5/JOZNG3a1Nxi35OjR4/SvE1LBCRkchlyOxX6\nvBI0jb3QhNUiad4BlK390B1KwuGNMAS18ZlVMohI3x7l0O79Zq1RcNfsg6vfPNB8Mu//q3AdHDx4\nMBqNhm7dulG3rvEzFxMTw8aNG8nNzWXFihX3nMPqKXiM8fb2xsvbm+Rl0QgNPKBIb+yO6O8K8Vkg\nAJKEXC7n6MHDMLixaawgl1HgY8e+ffvMbhRYqRpEUWT79u0cOnQIf39/ECB37n5sw2tj074WxVGX\nETQ2SDoR6rrChXQkJITWtxUrcrcn4WSCeU7iIeBW79uI4SPo07sPe/fuxd3dnVatWiEIgkXUOLkf\nDAYDR44cQRAlAroEcGnHZbBR4P1cU5Ag7deTIIDuYCKCjdxkEIDxXqNwdyApKckyCxdZkKdgzpw5\nd2TONWjQgN69e3P9+vVyzWE1Ch5zBj7Tjy/mfY0Un4Xg64TQvjbSoUTw0iB7MhAWGyvoVfOpTmJG\nIfxTaQ/APk+0iPxhK5WPXq+nW68e/B19hMLqttjn6JHL5BjySyjacQmlvyuOzzdHzCgk//cz2GTr\nKZEJqJ+qR8nhJKSmXjeXqWIzCauElLdHFWdn54c6dicpKYknOkaQqctHVtOFSzvjaDoomFOrTnF1\nyVHU1Rzw7dsQlxY+xC08QuaRZAzJOch9jJk8YlYRuuQsmjdvfo8jmQkLWkK91SCIjo4mMzPTVHq7\nvEXPrEbBY07bNm2Z/f03yIaG3KyG5uWAYe1ZxL8TaNjQaJl/PGUa48a/SmErAziqUcRkoikS6Nev\nnznFt1JF/Prrr+w/c4yCXv4Ichn5gLTDAJcy0QwJQRX4z82oLuguZaKOK6BEKUcfl4VMIUNccwbJ\n3xVS8nHOkpj5U+X0grdiebzw0otc85KQtQ/CBhBzion+/jCOXvYYVAqCpnUy7VtrZCiZB5MoWhGN\nskl1kAnojibz5cwvLCaL4g4syFNwgz59+iAIAr6+vqZtVqPASrlIT0/HtrYn2lvTxDzsoUgPCVkY\n/Ix1G4YNG4atrS0ffjad1OOpdO7UiZlrP7OIkrVWKp8/N/5FQS0HBPktN8BG1SAuE7mrsaCSPjEH\n7aUMJIOIIJOBsxp9XCbklxhrYOQUI5QYuJB8rcKq5FmxbCRJYuumLahea2PaJnNSI6vvQc61XBxd\njPcPySCSHX2NwoRsECUEGzn6E9cQDSI2MiWvvfLqHfMWFRVha2tr/hRXCzQKsrKy2LVr1wONtRoF\njzmhoaEIiTlIeh8EhVG5pcQccFBB6xrI02+qSP/+/R+6tUwrFYNvdR+U5wyUKj2UW4Jgp6LoQAKS\n1oD2ZArUcUVKy0efWwQlckACR7UxU6WlL8K+RKtB8JhhY2vs/inY3PJ1U6JH3rAaeQcSyT2XRsKK\nE+j0InI/Z2QutsZW7hoVcl8niCldv2HBdwuY9P575GRl413Dl2/nfG3e5RULNAq6du3K2rVrCQ4O\nNhlNt1fYvBtWo+Axp3nz5rRo1pyoFfuRNfMx5gmfuIYssg7ioSTC+w83t4hWLIBxL45l/ncL0Lmo\noLYLpOXD7jg0PeqTv/UiokFCPjTEdOM37LsC8VnIBhrToKSLGYg7LtG2VZt/O4yVRwxBEHhh9Gh+\n2PArhqdqg50Sw7k0DAnZqDoHgEHk/KdRKOt54DCsGYIgYNu9PnnfHUKfV4LhXDq9evcxzbd27VrG\nv/cORR39wKMuyYk5DBgyiP279pgvA8MCjYK0tDR++uknvL1vNp3aunVrucZajQIrGPQGyCpCPJwI\nJQbw0iDuigNbpeUWDLFSpfj7+7N142b+7/VXObUkGqWdDdpqDuRtjEHuYYfk4VDqSVDW1AvDqZSb\nwYWB7oiHknhnwkRznYIVMzHz0xmcv3CBzf/bbNwgE8Beie73s0jXC8BehbptzZu6IhOwaVUDw+Ek\npHwtT/fsbZprxpezKAz1ROb5z33JzxltwwL+N+9bvp+/oKpPzWI5ePAgZ86UrwnW7ViNAiskXU0C\nZ1vk4bWNRYsyCxHCamLYfomaNWveewIrjwVt2rTh2MHDAHTu/hSH3NJQeDuS9/tpyC0uvXOetnRl\nTEDjqMHe3r6qxLViIahUKiLbhxMru0JuSi7ptgrkng5IOhGZryPihguIWUWlxohZRQh2SnCzIynp\nZn+VzKwsBPfSemWwVZB2Pb1KzqVMLCj74Abt2rXj9OnTNGrU6L7HVvnZ2NraEhkZSWRkJIsWLarq\nw98XUVFR5hbBRGXK0uOpbqBWYNgaCxmF4GyL4fhVhMwiRo4cWaWyPOxY0rWpTFlGDR1BwaYY5K62\nOI9sDkm5iKdSkPQi0vUCpK2xCK52puIs4sFEFIWGh6KEc1XzOOhMw4YNKYjNwb1xNRRpBQi+Tshq\nuyAo5eBiS+H68+guXkfSi2jPpFK0Jw4C3JCu5vLss8+a5unfpy8257JMeiXpRewu5jKgr/myoARB\n/kCvymTNmjX07NmTunXrml7lpcqNAl9fX3bu3MnOnTt5/vnnq/rw98Xj8GEFmPbBVJx0CrCRYziW\njGHdOaSY6/yybGWZrXot6bpYGpZ0bSpTlv79++Pj6En6e1vJ/v4wkt6AuP8Khv/9jeOWRCa++Br+\nSjdsfz6H3aoYbM9ksumvDQ9VKeeq4nHQma5du+Lr7E3emQyElDzEHZeQknIQjyUjnU6lgX895Gsv\nkTV5MwW/n0Hwc0bcFENQUJCxUNY/vD1hIg00PtivuYjN7iRsfz1PpxZhDBgwoFLkLheC7MFelUhM\nTAxxcXFcvHiRixcvmkoel4cqNwpSUlKIiIjgmWee4cqVK1V9eCtlUFxcjGgQwcEG5MZUMrWt2ppu\naOWuvDn+TRKvJoHBgC4xGwQBSvSsWrWKzNTrfPrJJ8ScPc++rVFs+3094994kxYtWphbbCtmQi6X\ns33TNhwLHRC1BqSYdAzrziEeSOTpHr2IPnacrNQM9u3dR5d2kYR7N2btylX0f6a0B8DBwYHD+w/w\n+9KfmTXmHXZu2MIfq9Ygl1fuk/e/YoFGwa3dW7VabSlvy72o8piCK1eu4OrqypYtWxg1ahTbtm2r\nahGs3Mb3Cxei89MgtLtZ6KI4NoMPpn9It27dzCiZFUukpKSEr+d9g7prPVTNfZC0BgrXnkWfkM2b\nE8bzzDPPAMbI8xsR4Rs2bDCnyFbMzIULFwjvFElmSS4KTwd0GYXYDWyC7mQKh44dMXmQ2rZty6YN\nG03jjh07dsdcMpmMjh07Wk55dQvMPggKCuKjjz7inXfeYcCAAbzwwgvlHmvWhkh169bl4sWLpt8D\nAgK4dOmSucSx8pCiUCjQ6/X33tGKlX+w6oyV+8Xf35/Y2NhS2wRBQCpY80DzCfZ9K7Up16RJk9i6\ndSvvvvsuffv2Lfe4KvUUFBQUoFarkcvlnDx58o4iJrdfcCtWrFixYsWisSBPQefOnUv9npyczLx5\n85g/fz5btmwp1xxVahScPXuWF198EY1GgyAILFhgzSu1YsWKFStWKoLvv//+P89h1uUDK1asWLFi\n5WFFEASkoj8fbKxtr1LLB08++STHjx/ntddeY/LkyaX2XbJkCR9++KGpbszy5ctLVSu8QU5ODk5O\nTmUeLzs7G2dn53vKZS1eZMWKFStWrDwoFbR8sGjRIrZt21aqWJPpEILAqFGj7jAWbmfs2LF4enrS\nvXt3AgICkCSJ2NhY1q9fT1paGj///PM95bAaBVasWLFixcqDUkEVDX18fP717z/++CObNm0iMjKS\nadOmldkdcuXKlRw9epRff/2VuXPnAtCoUSOGDx9OaGhoueSwGgVWrFixYsXKg1IFgYa9e/dm2LBh\nSJLEyJEjWb58OUOGDClz39DQ0HIbAGVhNQqsWLFixYqVB6WcRkFU1Amidp14oEPciAUQBIGBAwey\nefPmuxoF/xXLyaX4j6xYsYKQkBBCQkJo0KABEyZMACA+Pp4aNWrc11yTJk2iTp06yGQyLl++fNf9\nlixZwrRp0+7Yvm3bNlq2bGn6/cKFC8hkslIpIf3792fBggWsW7eO9957777kAxgxYgQ//PDDfY97\nEOLi4mjevDkhISE0bNiQUaNGUVJSUua+MpkMURSrRK7/SkXpTGJiIp06daJ+/fo0adKE0aNHo9Vq\ny9zXqjN38jjqDECXLl0IDg4mODiYTp06ERcXV+Z+Vp25E4vSmXLlj3OBAAAgAElEQVRWMIyIDGHq\n1BGmV1ncLe4/JyfH9PP27dupX79+ZZwJ8IgYBVevXuWtt95i8+bNHD9+nLNnzzJs2LAHnq9nz57s\n3r37nh0Cy1rTAWNVrjNnzlBQUADArl27aNGiBbt37zbts2fPHiIiIujZsycff/zxfcsoCMJdj1/R\n+Pj4sH//fo4fP87p06fJyclh4cKFVXLsyqIidUapVPLpp59y/vx5Tpw4QWFhIXPmzClzX6vOPLxU\n9H1m9erVREdHEx0dTa9evZg4sey20ladsXAqqMzxmDFjmDVrFkuWLKFv376cOHGCWbNmAfD555/T\nunVrwsLCyM7Ovq8KhffLI2EUpKamYmNjY0rFEASBxo0bP/B8bdq0wdfX99473gU7OzuCg4PZu3cv\nYPxgTpo0yfRhPX/+PAD16tVjyZIlDB06FDA+EfTo0YP+/fvTqFEjIiIiyMjIAIzpJH369CEoKIiu\nXbuSnp5usipTUlLo2bMnTZs2JSQkhHXr1gHwzTffmJ5k1q1bh0wmIy0tDYDw8HAOHz5crvNRqVSo\nVCrAWEe7qKjojsJTt6PT6Rg+fDivvfYakiQRERHBxIkTCQsLo2bNmvz888988sknhIaG0rhxY2Ji\nYsp3cSuIitQZLy8vU11/QRAIDQ0lISHhvuaw6szjpTMAGo3G9HNOTs49r8/tWHXG8nXmfvjuu+84\nffo0Fy9eZM2aNTRt2pS33noLgI8//pgDBw6wd+9eFi5ceM9eD6tWraJFixamDomBgYHlluORMAqC\ng4Np1KgRNWvWZODAgcyfP5/CwsIy9+3du7fJ/Xfrq0ePHhUqU3h4OLt27QLgyJEjdOvWjdzcXIqL\ni9m9ezfh4eFljjt48CBz587l9OnT1K1bl3nz5gGYclTPnj3LggUL2L17t8mCf+WVV2jXrh0nTpxg\n9erVjB49mpSUFDp06MCOHTsA2LFjB23atGH79u0UFRVx/vx5mjdvTlpaWpnXIyQkhKlTp5rkys/P\nJzg4GE9PT9Rq9b822MjPz6dXr140aNCAOXPmmJ42MjIy2Lt3L2vWrGHUqFH4+vpy9OhRhg0bxowZ\nMyrispebytKZoqIiFi9eTM+ePe9bJqvOPH46M2DAALy9vVm+fHmZSwT3wqoz5tcZSXiwV2Xy4Ycf\n8ueff5q6JN6PMfRIBBoKgsC6des4efIkUVFRLF26lHnz5nHkyJE79l27dm2VyBQeHs5HH33ElStX\nqF69OkqlklatWnHgwAH27Nlz1w9rREQE1atXB4weiz179gDGlqY31vb8/Pzo1KmTacyOHTtM1SHr\n1KlD27ZtOXjwIL179yYlJYWsrCz27t3L9OnT+e233/Dw8KBVq1YIgoCnpyfHjx+/5/k4ODgQHR1N\ncXExw4YN47PPPuOdd94pc98OHTowduxYRo8eXWp7v37GjmfBwcEUFRXRv39/AJo1a1blDXMqQ2cM\nBgODBg2ic+fOdOnS5b5lsurM46czv/zyCwBffPEFQ4cOZdOmTfclk1VnzK8zkmQhsQ230KBBA7y8\nvB5o7CNhFNygSZMmNGnShHHjxuHp6cmZM2fuqODUq1cvEhMT7xjr7e3N+vXrK0yWtm3bcvz4cTZt\n2sQTTzwBQPv27YmKimLPnj13VXS1Wm36WSaT3bVpy+0BKbf+fuvP4eHhrFq1CltbWzp06MDEiRPx\n9PQ0dRhLS0ujS5cuZa4b9urV646nF7VazaBBg/41+CgiIoINGzYwfPhwU/czABsbGwCT6+vW383V\nnKaidOZGqpCTkxNffvnlA8li1ZnHS2duZdSoUaWemMuLVWfMrzOiBRkFN2INMjIyaNGiBcHBwSYP\nynfffVeuOR4Jo+Dq1askJibSqlUrwLiWptVq8fHxMQXh3ODPP++vJOWDVoHWaDQ0atSIL774gvnz\n5wPGD+u0adMoLCykYcOG9zVfZGQkS5cuJSQkhISEBHbu3GlyUXfq1ImFCxfy9ttvExcXx4EDB0wK\nEBkZyfTp0xk+fDgKhQJvb29WrFhhug6enp5ER0f/67ETExNxdXXF3t4evV7PH3/8YVpDL4uZM2fy\n/vvv88wzz7Bq1SrTOqElVdSuaJ156aWXKCws5Ndff31gmaw68/joTF5eHrm5uaaCNb/99tu/Xp+7\nYdUZ8+uMhOUYBYMHDzYZXpIkGcsw//N/eXkkYgr0ej3vv/8+9evXJyQkhOHDh/PTTz+ZglTuN3p2\n4sSJ1KhRg+TkZNq3b0+7du0eSK7w8HCuXLlCmzZtAKhZsyYlJSW0b9/etM+t0b23R/re+vuUKVOI\nj48nKCiIsWPHlppj7ty57Nu3j6ZNm9K3b18WLlyIp6cnYLSmExMT6dChA2B0uRUWFt5XgNTp06dp\n27YtTZs2pVmzZjg7O/Puu++Wue8NeadPn05ISAh9+vQxpRXdfm5lnWdVUZE6s2/fPhYsWMCFCxcI\nDQ0lJCSE8ePHP5BcVp15PHQmJyeHvn370qRJE4KDg9mwYQNLly59ILmsOmNenREl8YFelUFERATh\n4eHs27fP9HNERAQnT54s9xzWhkj/gaVLlxIfH88HH3xgblGsPCRYdcbK/WLVGctFEASK9H890Fhb\nRY9K82pERkayc+dOwOgx6N69e7njKSrFU3D8+HHCwsIIDw+nY8eOxMXFERUVRfXq1YmMjCQyMpJj\nx45VxqGtWLFixYqVKsOSPAVz586lbt26HDx40JSOGBQUdF9ljyslpsDb25vNmzdjb2/Pxo0b+eCD\nDxg1ahQ9evSokH7PlkRVuzCtPPxYdcbK/WLVGSvl4dVXX+XVV19lxYoVDBo06IHmqPTlg+3bt7Ni\nxQqGDRvG0KFDqVWrFsHBwcycObNUBKwVK1asWLHyMCEIAvnaPx5orIOqT6UtH6SkpDBjxgwuXLhA\nvXr1mDhxoikF9V5UaqBhQUEB77//PhMmTCA0NJTY2Fh2796No6OjqXyjFStWrFix8rAiPuC/ymTg\nwIG0aNGCuXPn0rJlS5577rlyj620lESdTsfAgQN555137mjeMHjw4DKjSgMCArh06VJliWTlEcXf\n39+qN1buC6vOWLlf/P39iY2NvWO7JRYvsrW1NS0fBAQE3FdmS6V4CkRRZMiQIfTp04devXoBkJub\na/r73bo8Xbp0CUmSLOb1wQcfmF0Gqyz3flmS3ljStbE0WUY+PxJUcmyeCsRuRCjKEG9QygkMDKxy\neaw6Y/mySJJEz549EVRy7Cc8gWZqJzRTO2E7rBnOHq4YDAY+/ewzHAK9sHs7HPv3O2D7Shvs3ZzY\nt29fpehMmd93FhRoeAMvLy9mzJjBjh07mDlzJjVr1mT//v3s37//nmMrxVOwZs0aNmzYQFpaGsuW\nLaNx48Y0aNCARYsWYWdnh4eHB4sWLaqMQ1uxYsVC+WHhD6iUKhYs+cH4OKI10CE8ku3bt5tbNCsW\nSrNmzWjUtAlz5/8PXSN35DoJ4XQ6K1b+gkwmY/ybb3Li9EnWzluLyt2RkrQcpk37kLZt21aZjJZU\nvOgGkiRx/vx5U1MswBTkf69rUylGQb9+/Uz1p29l3LhxlXE4K2YiNjaW1NRUateuTfXq1a0R0lb+\nFUEQmD9/Pp999hnnzp3D39/fVPzGipW78clHH9OjazdWrVlNfl4evd/tzVNPPQUY25av/Gk5SUlJ\nxMfH07hxY1MXy6rCksoc32DJkiUPPPaRqGhYWURERJhbBBOWIIvBYGDJkiX8/tdanDxcqVs/kLAn\nwvDx80Vmo/hPivioYAnv0w0sTRadToe9gwOu3p606/AE1byq0bNvb0TR8m6qVYmlvU+WRNu2bRk7\ndiwRHSP46qvZLFq6iH5D+uNazbVUSXFfX1/CwsKq3CCwVA4fPkxYWBhNmjRBp9Px9ttvl3vsQ2UU\nTJkyBZlMZmrTeTvx8fHIZDJkMpkphmHIkCGoVKoyA0TuhSV9QCxBloFDBvHqR+9woaaO4uYeoJKD\nTAAnNQgCI0eNJD093dxi3sG99OZ2YmJikMvljBgx4r6PZQnv0w0sTRZbR3t0LgrcBzfFpXcQMjsl\nf/21jtmzZ5tbvDsoS2fmzp2Lt7c3MpmMFi1akJ2djUajITIy8j8dy9LeJ0th9+7d9OrbmxXrV2Lj\nokZpq8LB25Emo5rj1zuAYaOHsWLFCnOLiYThgV6VyZtvvsnq1atxc3NDqVRy+PDhco99aIyCzMxM\nZs+eTZMmTUz1te/GrW7sN998E71e/0AdyKzc5OTJk2zcuhnxuQYoG3uhalUD26EhYKNEGNgUoV8j\nUCro06ePuUUtxf3ozQ0CAwPp3r07y5Ytu68+5FbuzoIFC5DkAt6TI3Bo7YdT5wC8XmuHIMiYNOU9\nc4tXirJ05tq1a7zxxhukpqYyatQoBg8ejLOzMyNHjmTXrl1s27bNzFI/WhQVFdHr6V40fqkFToHu\nFOUWg0ygwxfd8YusQ2CfhrSd0oHX33rd7J4mSww0VCqVVKtW7YHGPjRGwY8//khhYeF95VuCMVAl\nICCAVatWkZmZWUnSPfqcOHECZS0XBIXctE1e3RFEEYr1CK520MSLk6dPmVHKO3lQvXnuuecQRfGR\nq8BpLn5YvAh1Aw9kypv6Y1PHFQBdUYm5xCqTsnTmRrZCjRo1+P7773n99dcBTPssWLDALLI+qkRF\nRaGuZse5X06SI5dh/1QgniHeyFU39cetgSd5eflkZ2ebUVJjSuKDvCqTOnXqMGPGDHJycvjqq6+o\nV69eucc+NEbBX38Zm06Eh4ebtmm1WsaNG4eLiwt169Zly5YtZY6NiIhAq9WydevWKpH1USQoKAh9\nQjZiiQ6xQIskSRjS8kEC6UoWkkEEmXDfrVorm7L0BmDRokU0bdoUjUZDYGAgn376KQbDTZfejf3X\nr19fdcI+wvj51aQkNgNJf/NmqE3MAaXcuAxlQdyuM1FRUTzxxBMAJCQkIJPJGDlyJAAtWrRArVaz\nZcuWUvpj5b+hUCjQ5msxKOQ49muETYAbGRfSEQ039Sf7ciYO9vZmjyOwxOJF8+bNw8nJibZt22Jj\nY8PXX39d7rGVVryoojl58iSCINCgQQPTtunTp7NgwQJcXV0JDw9n2rRpZY69URMhOjqaAQMGVIm8\njxrBwcG4Obly5Yt9IBcQ1AqkYj3oDLA7DinqMsjgi50rzS1qKcrSmwULFjBu3Dj8/PwYMGAAhw8f\nZvLkyeh0OqZMmQIY+3c4ODhw4cIFiouLrSW5/yNvT5jA6j9Wkzh+PYYiPSpvDfq8EuStayDsTTS3\neKW4XWdq1KjBM888w+rVq9FoNIwaNYqWLVsCxi+vgIAAzpw5w8WLF8usv2Ll/gkPD0efq0VWz/iF\nr6ztgmirZOOo1SBK2FVzQHu9hJkfzUAuN69RaWnFi7RaLUeOHMHNzY1BgwbRvHlzFIryf9U/NJ6C\nrKwsADQajWnb8uXLAZgzZw4LFy68qwvP0dGx1BxW7p9PPvuUTFkRLu+E4/pRZxyebggGESRAlIxP\ne5JAu3btzC1qKcrSm7lz5wLGpzyNRmPq+T5v3rxSY2/ojbndk48Cu3btQqWxod7b4TRf1Bef7vVB\nZ9SfBo2CzC1eKW7XGX9/f15++WUA3NzcmD17NgMHDjTt7+joiCRJVj2pQFQqFaNGjqLoZAqGfC3a\nC9chq4iwca14ek4P6raviaFYT6+evcwtqkXFFFy4cIEWLVrw7bffcuzYMb799ltatmzJuXPnyj3H\nQ+MpcHZ2JjMzk9zcXJydnQFITk5GEATTekndunXLHHsjE+HGOCv3zzfzv0XW3x+Zk/GJWdWwGqqm\n1dEp5AjB1REPJsDpVAoKCrC3tzeztDcpS2/i4+MBWL16NWAMTBUEgbS0NAoLC7GzswOselORTJr2\nHnVeaY1DgBsAHuG1ybuQzvVdl2nQ71kzS1eaGzqTl5dnck1L0t0b11j1pOLZvXs38xYtwKulL9c/\niUJuI6fd2JYERNYBIGRgU3KT8/lu4XdMnTLVrLJaUvGiiRMnsmDBAlq3bm3adujQId555x3Wrl1b\nrjkeGk9BkyZNkCSplMXj6+trqtwE3DVS/MaYkJCQyhf0EaWwoBDBTllqm0xjA6KIoJIja1cLZDKO\nHz9uHgHvQll6U7t2bQD+/PNPRFHEYDBgMBi4dOmSySBITk4mPz+fwMBA69JBBWDQGbBxL20sqr00\nIPz7F645uKEzZ8+evee+er2e2NhYHBwcCAwMrALpHg9mzfmCus81ptmbYbR8+wmEEgPu/m6l9nEP\ndOPS5ftPNbdUnnzySTw9PZk+ffodf5s5cyatW7cmLCyMV1999a5zpKWllTIIAFq2bHlfqeIPjVHQ\ns2dPwOiGvMGNhg+vvfYao0aN4sUXXwTuvMns2rULGxsbOnfuXEXSPnr07NUT/Z4E07UV80ooOZiI\ndDQZw+IjSBfSwUZu9vW92ylLb264gocMGcKIESMYNmwYQUFBpuCxW/fv3r17FUr76CJJEqnbb9aO\nF7V60qMugyjx3nuWlZJYls7cjUOHDlFcXEyXLl2QyR6a26nFk5KagsJOQcwvJ7n85zls3Gy5uPOm\n/kiiRHxUApFPlC/NuDKpqOWDRYsW8fnnn5d5jL59+3LgwAH27t1LamrqXWuu2Nralrn9fh5sHhot\nHjZsGPb29qxceTOQbfLkyYwZMwZRFImKimLy5MlA6ToFR48eJTY2ln79+uHq6lrlcj8qfPX5bGpk\nq9HNPUzu94fI+iQKSWeAeu7gYY+08zLklRAaGmpuUUtRlt6MHTuWhQsXUqdOHVavXs2mTZuoVq0a\nL7zwgmmflStXIpfLGTNmjDnEfuSws7UjfVssZ6ZuJ37pMU68vh5tVhGI4O7ubm7xSlGWztythPeN\nfawl3CuWZk2acfLbg1w/mUJhWgH51/I4ufoMmz7YxolVp1n90p942lRj8ODB5hYVCfGBXrfj4+Nz\n12MEBASYfraxsUGpVJa53/Hjx+ncufMdr+jo6HKfjyBZkO9OEIR/dSV+8MEHfPzxx2zdurXchWiG\nDBnCb7/9xtmzZ/H3968oUR9LRFHk66+/NuZoywCVAkr0IJeBsxqyC5F0Va9OFa03MTExBAUFMXTo\nUBYvXlyRoj6W6HQ6VLYqsFWBzmB8vwyiKVB144aNplr2VUVF6ExWVhY1a9YkNDSUnTt3VpaojyXN\nWoZy+sIZNL5OOPg5kbI/AX2xDlEv4lHHlazEHJb8sLRKjYKydEYQBC7lzHmg+fydXrtjvqVLl5KU\nlGR6wL2dXbt2MX369Lum39+IlyqLWrVqlUuuh8oosGJ+zpw5Q6NGjUAhQ9bCF1mwNxRq0W+OgbQC\ncrKyTVH7VYVVbyyb06dP06R5CPZPBWLX0WiYFx9KJO/XU0gGAyuXrSwVzV8VWHXGslHZ21Crd30C\nBzQBQJevZe8bf1GSXYxCrUDjbs/ro8bf9cuzMribURCb/WW5xh/YE8vBvTdjIL6esfm+jIKTJ08y\nduxY/vrrr0r1ej802QdWLAOVSgUC4GGPrFUNo6fA2RZF9/rolxw1/t2KlVsoLCwEmYBtWC10FzMQ\n1ArULWtQsDUWw/UCsxefsWJ5GHQGqrfxI379BUSDiFerGniF1SLzcBI5V/NQ+9v8P3vnHR1F2fbh\na7ZvejaVEEJICCRAIBRDr9KliCBNQcRCUcRPUUFQsKEiKogFQZAmoPgCgjTpvUMCoYQEEtIT0uvW\nme+P5Y3mFQQRsgvudc6ek53Znfk9m2dn73nuRkhIiK1lAtx2IaLo9iFEt/9d87yPt/3pNTczVBMT\nExk9ejTr1q27525wx0qBg7+F0WhErdVADVcoMUC5ybpq0CIQ8UAy5eXlNw12uVc45o19k5CQQL3I\nCJDLkDkpkfRmZG5qJKMFsbCCsqLSyqyP6sIxZ+wbVw83KkwVuNb2xFJmRJ9bjspTg8wkoi8xgAhZ\nGdnVGid2s5WC+IIbBwfeivqer1U53vPPP8+hQ4cwGAxERkYyffp0tm/fzqRJk+jbty/x8fGVcQev\nvfYavXv3vvPB/AWOlQIHf4vVq1cDEuSUgiCAmxrKTYin0hGU8mo3CBzYPzqdDswiMoUMTS0PZGo5\nZaczkUTRWp2umg0CB/aNxWJBkAvo6vpCqZHooY0pK6zg+IpYTAYT0SOiKDxebjeB4+JdMi4XLFjw\np21NmjQBYOPGjXflHLeDwyhw8Lc4f/681RjwdYFe9RBUCqTcMthwAfnfKKXp4N/D5s2bkWmU+D7V\nDJfm1jsdY0Yxqe/sxM4qxDqwAxISEkAuUHa1kGdXDkapsV5XAiP9WT/lN06sPksN/xo2Vvngct+k\nJDqwD4qLi0EmQMtAKDIglRoRvJ0hwgezyWRreQ7sEGv5XwnnZgGV21QBbqiCPBxXIAd/QqfTUVFU\nRq2mNSoNAoCajf2wmETc/Fyo6R/wF0eoXuypzPHdwHFr5+BvkZ2dbe11sPkSaJVQbkSq5Q4uKlSK\nG+fOOvh307BhQySDhdJjaRT+loApuwR1bU/MuWVWA9OBgz+g1WqRBEiPyUK0iGSczSZu8yXKCioQ\nLRZCWgcRorCf9PK75T6wFxxGgYO/hbOzMwgCQu/6SBnFYLZAdikkF+Ds7mlreQ7skKXLliIhkbPs\nFK4PBeLRMRhkMnJ+iLE21HLg4A/s2rULjYcThtIKvui1FEEQaNIvnFrNAijOKuX8tgTGz37Z1jIr\nER+wSewwChz8LWJiYsBNhfTLeWvRIrAWobFIGB3uAwc34PLlK3A9crvkSArFB68iqOW4PBSA/kSW\nreU5sDNUKhX64nIUWiUykwVDmZHY9RfwqOnG0C8f4buhP9lV5dQHbaXA4dFz8LfIzs6GAr3VhSBJ\n16vSWb8UYSH2s6TnwH4wmU1gFsFk+T0t0Wih5EQGTm4utpbnwM7Q6/UgE7DozRhKjcjkMkRRIj+1\niKWj1uEf7kN8fLytZVbyoMUUOIwCB3+Lgv/2jJfJoKY7+LmAIAMZjsJFDm7I+fPnQCVD0CiQu6oR\nlDLrKpMkoXNxtBt2UJW4uDhEowWtrwtqZxW6Wu4IgoBMIUOhVZBxLpuIiAhby6xElKQ7etgrDveB\ng7+FyWS0Boc93ghBZ80vlxLzYPdljEajjdU5sEfKKyqQKeWogzxw71oXc145+evPI5osjs6CDv5E\nQUEBGm9nXF1VGGSQn1KEUqNAkkQMJQZEk0hkZKStZVZizz/wd4LjG3kPKS8v57333yOyRRTtH+7E\n+vXrbS3pHyMggI9LpUEAQKgOBIGwsDDbCXtAMBgMxMbGkpOTY2spdw9BQOaiIuDV9rg0DcCja138\nx7dEUMjw8/OztToHdoZWq8WYV05eUgHtnmnOK7tG88T8fjh5OCFTyJC4eTlgB/8cx0rBXSY3N5f4\n+HjCwsIYMHgg50tTUXQMJL2knJEvPMP4Y0cJCa5Dbm4uHTp0oG3btjdty2qPSJIEFSYkSfpdt8kC\nFpFu3brZVtx9zg8/rGDCyxNw8dBScK2YgQMHsnD+dygUCpKSkhAEgTp16tha5t9GMltwauSH8If0\nQ224L5LezOjRo22o7P6mtLSUZcuWERcXS2RkFCNGjMDF5f6P0SgrLwMBIrqGUq+jdb57BXvS/bV2\nrJ+6HaVKYVfXTHuOD7gTHEbBXUKSJCa/OZkvv/4Kj0Ad165kISll+HzcA9n1KH1TDRdmffQJytoe\nqIN1fPzVZ/Tp2osVS5bZ1ST/S+RAqR5WxVoTcfxdQW8CuQwfHx8bi7v/EEURQRC4cOECL778Ik99\n0Y2Ael7oS42smrybVq1bkpGdQYW+AgGB0JBQfv7xP7fdBtUekESJinM5WAxmTBnFyF3VmHJKETQK\n1Gq1reXdl+Tn59OufStqhbgQ3b426zYtYN5Xczi4/wj5+fnMePdtDh48QO2gIKZMfovu3bvbWvJt\ncyEhHoWrGlc/q4EjSRKSKOHsZV2dVMjtqx7Kg+Y+uCdGwenTp5kwYQJyuRyFQsF3331HnTp1mDBh\nArGxsbi7u7Ns2TI8PR+cvPaff/6Z739aSsvZ3ZApZDSQCRyeuh39yQycogMBUARYWwp7jW+JzEmF\n2M/MLx9sYsKECbRs2ZIBAwbYv6VvARQyQAKtCi7nWTMRkCqbdTi4NVlZWbw4YRwbNmxCoZDj5u5C\nw25BBNTzAkDjoqLbC81YOO5X2o1uxkODGyFJEsdWxfHowP6cPhFz/xiSMjDllpL00gZkrmrEcpO1\nuYzJQlBQkK3V3ZfMnTuHBk29+PCrxwEYOaY9k55bRXCdIAwGPcPGtebdxb25fD6HEU8NZen3K+nZ\ns6eNVd8eHq7uiJLEqf/EkZ9aSPzuJMx6M27+LohmEYXWvu5lH7Q6BfckpiAgIIBt27axd+9eJk2a\nxPTp09m2bRsVFRXs27ePwYMHM2vWrHtxapvx3dJFmCwGDkzYyKEJv3L4/zbj2zwAw/G0ytcYE/OQ\nuagQtFZLt3xfMhVFpSw//SuvfjGd2qHBnD171lZDuD1kgFyAEqO1aNF/f5hE8Pf3t6m0+wVJkujd\npweCVyY/HB/Lgt2jqNPIg+RTGZQX6Sv9pXKl1fh6aEgjBJmATC4jelgjEhISiG7Tgvad27JgwQJE\n0X6XLyt9vxIIMhmYJQRRQlDJQYD27dvbVuB9wuHDhxk8eCAtWzanT59HWLpsET36N6rymkcGNUHn\nq6X1w2FoNErWfnsUSZQYP70zH3z4DqWlpWRlZdm9P/7ipYtYDBYqSowk7E1GqVHgFuBGRaEB0SLS\n7WH7clM+aCmJ98Tk+mPwkEqlQqFQsHfvXvr27QtA3759+eabb+7FqauNK1eukJmZSVRUFM7Ozhw7\ncgTfQC3T1wzD08eZ0weu8u6Y9ZjlAmUHr2Ip0lP2WwIyEcpXn0H1cCglm+MJercriutBe8V7k3jq\nuac5deSEjUf3F8gEBF8X5D3rg5MS8VwW4p4kkCTS0tKoVajxBwAAACAASURBVKuWrRXaPUePHqWg\n+Bqj3hiOIAg4uarw8nUhZl8ys/qsxM3LiW4vRXNyYzySKPHtgNWoZAIeoZ6oPTU4e6mJGOiNTCYw\n6+v3OR17im++mm/rYd0QvV4PIggqOf6T2qMJ0WEpNZA99xCGUsP9s9phQ3bv3s3QoY8zffqTNIps\nz/Jl2zl4sIjYk1fp1N2amidJEmdOpQAiJ3cmotyTRbBZwaq18ShD3biaWkSNAD+USjmBgYF8t3AJ\n0dHRth3YTUi4kohMFBHkMhr2b0DL0c0RZAJppzLY/OZv1K9f39YSq+BwH/wNysrKeOutt1i0aBFz\n5szBw8Oak+zu7k5BQcG9PPU9o7y8nKHDB3Pw0AH8anqQebWAjz78GIO+ghfe64fO17r836x9MF36\nR7Drl/PUTi3g3JE0Bj/dAk8fZ36cf5TyuByUXs7I3TWVx3ZtW5uzq3+lrKzMWk7YzrBYLCCBvEc9\nBBdrTQJ5ZA2kS3lIKYUO98Ftkpubi6ePM4YKExonFe8/t57sS/mc3jiRenW82X3kMo+OWYYFCYUI\nbev6MqJ7OHFJecxefZIhs7oR3ta67B7SPIDZ/Vfw1tS3CQiwnyYx/6W8vBxk4NqhDpoQa6tbuYsa\nr+FNyPz0gI3V3R+899505swdy5AhnQFo1y6S7OwCvv9yH3413CkprGDxpzspLNGjkctoITjxktIH\nVPCI5MHEC1epGaHj+1/G4O6hZev6MzzSpycJl65UXpPtCUEE/whfMs5k0WJkVGWAamCzALzDvFi7\ndi0ffPCBjVX+jsMouE1MJhNDhw5l8uTJREREoNPprndLg6KiopvGE8yYMaPy706dOtGpU6d7JfGO\nmDptCkWWJBbsG4lSrSDlUi6Th7+OxSLi4lY1aMpN54RSpWDKF48wvMnXxMdmYqwwM+3zfsjlMhbM\n2kPW8tN4jrKW7LSUGFColHZbBMhsNoMoIaYXIcZkQoUJIdgTSSUHqLZVgj179rBnz54q2+x93vyX\nxMREZn38AedPJDPiofk0bVub+BPpLJs9lPoh1kDNLq3r8tJTbflpyxm8tErWvd8HQRAY2DGMYH83\nPv3hbKVRoHFREVDXl4SEBLs0Cjw8PEAhw1ysJ/3dnZiL9KiDdbh1Da3Wvgf385yJj79Emzbjqmxr\n164Rqek5fDlzO8b8UhY2qE2Ui5bjxeVMuJDCRUsF4XItckGgi9KN4siaeOqsNxq9H4vitw0XWbdu\nHU8//bQthvSXRDd/iLi0M0iixE/PrqMkuxSFSkF4rzBEs0hAzeqZ5zeaMzfiQTMKBOkeOJhEUWTY\nsGF0796dZ555BoCtW7eybt06vv32W1auXElcXBwzZ86sKuZ6fXR7xj/AlxkrHiGgzu9GzaL39rF1\n5Rk6PxrOxI96IAgCBdfKGNN9Mc07BRMYqmPt/BMIgsCawxNwv+4u0Jeb6NP0M7xf74BMJSdn8Ula\n127Czm3bbTW8WyLIBVAprGmIggBuaijSUysgkJSUFNtoug/mDViNqojwMMaOjGbCs50przDywhs/\nsHVnHJu+G0XLqN+D7uYtO8g3PxxhZJcw3hj+UOX2zLwyGj67gjd3PAVAaX4Fnw36maTEZLvN/hAE\nAUEtRx3qhTpUR/mpDMx55UhGM5LFNv+3+2XOAPTp04tH+oQzZkwfdu+OYcbkBZyMuYyrSk6Z3sTU\nOjUY7KerfP3i9FyOZ5Tzktoa4zOzPJ3WU9vz3MtdKl/z9svrad9iKBMmTKj28dyKo0eP0qpVKxQa\nBfX7hhM5uDGGYgMHP9tPXmIe8efiCQ2t/pLqN5ozgiCwPWXyHR2vW9BHdjkH78lKwdq1a9m8eTM5\nOTmsWLGCxo0bM2fOHH799Vc6dOhQmX1wv/K//0dJggGPPsaGX9cReziFoLpexB5OQa6QkXa5gMNb\nE+n4SDiJ53IqDQIAjZOSWrU9SZi+HUkhQ+mkYvwHY6t5NLfPtWvXQC5DiPRHFh1oXTXYn4ykN9vk\nS3q/sXfvXjzdVbwyzhoo5a5UMP+TEfhGvMInC/fx07zhyGQySssMzP3+ILVr6dhyNJnXh7Wo9L3v\njU0Di8SRn88jyAX2LImhbZu2dmsQAAhqOc6tg9ANjwLA7ZFwsj/eizmlyMbK7g/effcDunbrwqFD\ncWxau5/PWoWybFhL9qQX8tK+ePT/Y1j5qZRkiEbSRSP7TMXEihWEXSut3J+anMeOjWf5eMaK6h7K\nbdGyZUvkKhmuNVx56Dlr3IPGXUOnt7rw84if7G5FzJ6DBu+Ee2IUDBo0iEGDBv1p+5dffnkvTlet\nPDH8CVZ+uo2Jn3VFpVaQfOEaBzYmcOzIaj766CPeeOMNkpKu8NSIruzevZvLcYnIFLBrw3kUcjlp\nSfkE1rFa9Xk5paQm5dOyWygx+1PQlxpo0qSJjUd4c77++mtQyZG1Car8kZJ1CsFyKZdLly7ZVtx9\nQHFxMV6eVWNFnJxUKBQyTsalE9lrDk0bBrBlbzx+Pq6ciE1BEiWefH8rT/duyPnkfN5ZcoQKg5mT\nGy7gX9sDbz9XHu03wEYjuk1kAs5talc+FWQCLu1qU7Amzoai7h+aNWvG1i2/0bVjO15vUovHQn0B\nGBjqS2qJnsVxaTxRQ4dcEDCJEoszcskSzEwxpGKySHjIZGz+OZZTh5Pxr+nBoT2X6N69l10XwhIE\nAfeablW2aT20CIJAVlaWXWl/0NwH9pXweR/w/nszGTEymefbLcWnhju5mSV8+cXX1K1bF4Aff/zx\nT++JiYmhY6cOlJWV8nyfRTz5QlsUKjlrFh3lsTEtGPxiS2aMWkvsoRSUSvsqzPFHnJ2dQaOsGjEu\nF0Auo1WrVrYTdp/QpUsXnnlmFDFnU4iKtLoKlv54GJlMRlGpgcycYpLS8hFFiaxrJZRVmJAJEvvP\nZ5NRaiawpo5ta17myMkrfPTtdqJ7hbLwjV03NMDtCkHAnF2KOvh3l5sxowSl4Lj83C7R0dHU9Pen\n/v8YlfU9nTADfWISaeHmxO78Utw1CuIefwilTMb5gjJ6bDvD8ZPvEhebSn5eKUFBfgR42U/vgBuh\n0WpJP5VBWW4Zzt7WMV89eBVBLthdbQuHUfAvR6vV8vOadaSkpJCVlUVkZCRarfYv3xMVFUVRYTFJ\nSUmEhdXl+8/3EdWhNmPe7UJUe+sdVKvudUlJzOfw4cPUrl37L49nKwYOHMhrk19HyipB8HcFQLqS\nD2YLjz/+uI3V2T/u7u4sWLCILgNH07F1OMWlei5duca233bh4uJCWVkZW7du5ZtvviE/Lxe5XEAu\nk/PSc114bfzvFen8fdx46+NfWTptH64ubnbtOpAkCYUF8lfFInNSoqrjSUVMJmX7k/novZm3PoCD\nSp4c/Rwrln5N91q6Sv/2souZ5OlNeLtq+eVaESqZwMneTVBebzTVwNMZb42KE0cT6dYrisyMAqa/\n9hPbtn1i49H8NcMeH8bipYv45fl1hHQJpaKggrSjqUQ2jEQul9taXhVEHO4DB0BQUNDftljr1KlD\ncXEJvv46IlsFVhoEADEHU1CqVXbdNe7YsWMggWXdOQh0B4sEWSUgSiQnJ9ta3n3BoEGD6NKlC9u2\nbcPJyYkePXqg0fyeltqyZUumT5/OlStX6Nu3L/HxF9l9IL6KUXDsdDKRjWtzJSmHiHD7dTeBtRyv\nGRGFhxNF685jyitD7qZBEiVcXV1tLe++YsLEiXRZ8yO9tpyni78zm5JzSSyqALlAXHE5AiCXyaus\n5JUYzeQbTIx/cj61Q/1ITsqlQ4eONG3a1HYDuQWiKLJuw1pkCjlIEulHUijLKweZwOxPZtta3p9w\nrBQ4+Ec4OTmxaeM2evTqRlmJkbBIPw5uTeDi6Uwkg4xevXrZWuJN+fHHH8HPBaF3fbhaaHUddA9D\nWn7arnx89o5Op2PYsGF/+ZqQkBDOnTtHUlISkY3CeWnaj4wc1IpzlzKYMvMXvlk8kbmfrmfo0KHV\npPrOyM/PR7JI1HytAwq3342fq1O3sX79esaNG/cX73bwR9zc3Dh4/CRr167l7JkzvN64MQ8//DBn\nzpzhlVdeJv78OURJYuTei0yNCsIkSsyMS2Vo5zBeGdKcVhPWIBMERo9+1tZD+UsKCwspKCgg+KFA\n+r3XFZlCRmluGctGr2P4E8PJzsq2tcQq3E2jYMmSJSxcuBBBEJg3b14V4y07O5unnnoKo9FIUFAQ\nCxYsuCfp6/ckJfFOuZ/ShP4p+/fvZ/iIIRQVFyKTydGotKz58T92XfY1NKwuV1KvIjzdHEFhXdGQ\nSgxIK05TUlhss74ND/q8OXXqFB07tiUgwJPQugFMeOVRIhoG0TTiRU6fPmPXzZH+85//8PjwIYR8\n1b9Kl8SMOQcIk/kTExNjE10P4pwpLCykR48exJ48jlouo4bOmSd6hPP60OYoFXI6vrqOcylFZGXn\n2W0tFLAWSXNy0zJkXh98w7wqtx9ecopjq85gKjfZRNfNUhLXXX75jo43IHROleMVFBTQtWtXjh49\nSlpaGiNGjGD//v2V+19++WXatGlT2SZAp9Px7LN338Cz37XqB5z27duTmpxBzIk49uzYT3pqpl0b\nBGCtxIcMpHXnkK4WICXmIa0/B4Jg/42c7mOaNWvGkiUryM/X06BRMMePXuLhdm8ybtx4uzYI4Pqc\nEQRKT6ZXbjPll1MRn2u3sTP3Kx4eHhw9epSlP6zChMCxBUOZ+mQ0SoUcUZS4nFbA+x98bNcGAWCN\nGRDAbDBX2W4sNyGJ9mfIiZJ0R4//5dixY7Rv3x6FQkFwcDAlJSWYTL8bQAkJCbRo0QKAhx56iN27\nd9+T8TjcBzYmJCTE1hJuH0EAJyV4aJD2JIFGASo5lBptreyBZ+DAgYSHh7Ns2VJyMkpZ8O1SunTp\ncus32hh/f38kk5mc70+Sv/4cgkaBKbsMSZIYPHiwreU9kAwZMoT1a39i1Ce7+XxsG7RqBTOWHadG\nrTr3jbtGNIls+3gf7oHuGMtN+IR4Erf5Ei5a+7v5uFt1CvLz86tU+vXw8CA/P7+yl1BkZCRbtmzh\nhRdeYPPmzeTn59+V8/4vDqPAwW3j5u5OcV4mlBkhVAfJBeCiQu3819kXDu4ODRs25OOP76/uoq6u\nrsicVcjctWhaB2HJL8d0rQyZWkFERISt5T2wLF6ygslvTCJq/DKMRjODHnuUbTvm3TcNqNRaDWWF\nBur0q4nGy4mE9edRu6pp1dz+Up9vN6bg3NE0zh9Nv+n+P7YCAGs7AJ3u90qVb775Ji+++CJr166l\nSZMm96zXzF8aBWazmb1791a2842MjKRjx44oFA5b4t9IWXkpBHsi72ytXii1qY344xm8Pbxu8U4H\n/1YSEhJAEPB6tb21XTKgCtFRtPw0vr6+Nlb34KLVapn7xVfM/eIrW0v520iShMlsos3bXfBuaL1L\n9m8awLZx69F56m7x7urndo2CiOiaRET//kP+85fHq+xv2bIl06ZNw2w2k5GRgYuLS5W6NW5ubpWV\ngKdOnUr37t25F9w0puCzzz7j4YcfZtOmTWg0GjQaDZs2baJLly58/vnn90SMA/umqLgYWaR/5XNB\nIUNo6IvlASvz6eDusXPnTtSR/pUGAYC6cQ0kvRl/f/+/eKeDu0FeXh5nz57FYDDYWspto9frMZYb\n8Wrwu9EoyGV4N/RDIbe/G9K7FVPg4eHB+PHj6dixI0888QRz584lNjaW2bOtaZi7du2iS5cudO3a\nFVdXV3r27HlPxnPTT7hhw4a88sorN9y3bdu2eyLGgX0jAUKxAbx/r6omFVSgVdufn+9BxWKxkJSU\nhI+PD+7u7raWc0syMjIwJRUgSVLl0rU5rQhUcrsrQvMgYTabeXnCC6xYsYIani7klRn59PO5jBg5\n0tbSbklJSQkKjYJrZ7LwbVIDANEskh2TSXZT+0pHBGu5lrvF008//afOlf8tfd+lS5dqiSO6qVHQ\no0ePKs8lSapMn/jffQ7+GXl5eYiiaNeV6QAkswVpXxIyrRJ8nJES8+BiLk7h9q37QeHXX3/lhRfG\nAiJFRaU88eQTzPn8C7sujW2xWBDLjRSvisWpfTCWQj0l/4kDi3jf+LfvR+Z8/jlx+zZzaUZ3PJ1U\nnEkrpNv4MSRfvcrrr7+OWq2+9UFsRHl5ORaDhWOz91NvYEO0Xs4kbb2EIMMudT9oxYtumZL40Ucf\nUbduXRo3bkyTJk2IioqqDl3/CjIzM+n0cAdq16lFnbrBtO/UjqtXr9pa1k0REBCa1EDcnoA4/yhS\nXDbU8cTf18/W0h54kpOTGTVqJMtXvEby1R+4fGU5588d5YMP3rO1tL+kfv36KALcENQKipacomx7\nIppWQchV9mvIPAgsX7yQd3vVw9PJmn7YONCDMe3rsHjuJ3Tv3MGu3Qk1a9ZEoVFSt18ExcmFpOy5\ngn/zmhiLDY6MlWrglkbBmjVriI+P5+zZs5w9e5YzZ85Uh64HnnXr1lEvoi6SfyHTtg3nrd+G49bI\nzCP9etltUZWoplFQZkQ+shnyF1sj610fUgp59dVXbS3tgWflqpUMerw97ds3BkCnc+PzOeP56iv7\n7jw6c+ZMzJfzkXtq0U1qj9ugRuiPpPBYv/62lvZAYzKbUCmqXt61Sjl96vtAXvoNG7fZC0qlkmee\nGs2F1dbfGvdgTy6tO4ePty9PPPGEjdX9GYt0Zw975ZZRG40bNyYvL+9fFSl84cIFVq1aRVFREd7e\n3pSVlxH9UDT9+vW7K5kXZ8+eZdQzTyHJRB6Z2Ar59S9v56eb8Pmm9Zw+fZpmzZr94/PcbTasXU9E\n44aUXo0BTy1CShFPPfGkXZdmflDIyc7BxUVTZZuzs4by8gqysrLsNmivRo0aPDNqNIuWfU/JunMI\nSjmtmkezeuVqW0t7oBk4ZDjv/7qcH5+JRqWQk15YzsL9l1k2uDl10gs5vH8fI+04viAkJASFQk5x\nWiF58dcQKyws+uE7u3Q52WE9pX/ELX/hOnfuTHBwMAEBAQiCgCAIXLp0qTq02YS3pr/F7M9nYxEt\neAR7UphUgHuQBys2rODzeZ+zY+uOf+zXWrT4O5p0C+L8oVRk8t8nuSAIaFzUlJWV/dNh3BPmfDEX\nsxzwdwWDGaVWTYMGDWwty+YUFRUxZ84cduzYQUZmGqkpafjV8GHSK6/x0ksv35ULWePGjZk0aREv\nvfQYtWr5IooiH7y/Ak8PV1JSUuzWKFi1ahVL/7MSz1fbo/BzwXgln9OLTxMTE2OXhm91k5uby/r1\n6xFFkf79+1cWqvknSJJEwqWLHE/JJ3jqr4T6uHAmtZCxLYNpHaRjaWwWEe3r3gX194akpCSmTHuT\nbvP7o70e1Jx5NJWxL44jOTHJ7gwDi52u7N4pt+x90LhxY7Zv335XJustxdi4HnlcXBzRraNxCnCi\n26xeKLVKTHoTOyZvI6xHPTL2pfH2C28zevTof3SeZ557mkLPS+z/8Rw9X4imSVdrVcOEY2msnLyX\nrIxsnJyc7saQ7hpZWVkEBgdhGd4YQWv1B0vFehRrzlOQm2fTMse2nDfx8fG0av0QFtFEx17hXMsu\n4fL5bF54txurvjjOS+Pe4IUXXvzH5yksLKRmoD9I0LJVBAkJaZSWVGAyiWRl5dhtmWnvmn6Ye9dG\ncz2KHKB0Szx9dc1ZtfwHm+my5ZyRJIn58+cz74u5pKReJTo6ghoBPmzZfJRFi75nwIAB/+j4O3bs\n4KXxozi59nlSMopITi/g2Jk0dm+OpV0tLxadvUZM3Hm7DWzu1q0bZ3LP0fa9bpXbJEni1yGruXwx\n8W93p71b3Kz3wddnxt7R8cY3nm+XruJbxhQ0bty4SunFB5nffvsNlaeaiIGNUF7/4VNqlDR4rCEp\nh65Ss2Mttu385+mYA/oP5Pj6Kwx9uwNr3t3DnBFr+fr5jSx9fQcufs6MffHOJtm95ODBg1hclZUG\nAYDgpsGs5F8dZ/L8mGcQJTOrD7zI1M/7M2flk4x4sR2/rojhpQ+78PncT+/KeVJSUnBy1rD9+JsM\nez6ab34YzZJ141AqFWi19ltRMr+gAJlz1Vr7Mlc1Bw4dtJEi2yJJEp07d2TK5EkM6NOAqZMGkHQl\nnYjwALZs/YDnn3+WioqKf3SOffv28Vi3emjUSurV8aZ7uzDGDo3mUHIeyy4Wsfm3HXZrEACcOR+L\nPq+8yg+msdiAaLYwbfo0Gyq7MQ9aTMEtjYILFy4QEhJC165d6datG926dbvVW+5LDAYDy39Yjtlg\nwvI/jTjMBjNypYyStGJ8dP/8y/TII4/Qq0sfvn1xCyaThaghkUQObMjzPw9l0Bc9Wbd2LenpNy+H\naQvi4uKgSI9kslRuk8qNUGH+VxsFhw8fo0ufBuj+ULuh/5PNiTmUjE+AG9dycu/KeU6fPk2z6GAC\nauno1juSRlG1aNK8NkaTgfj4+LtyjnuBZDBTvvtyZSMb0WCmfO8VSvKLbKzMNuzfv58Tx4+xZ/MM\nPnh7GFNeHcDhHe/z6adrCAryIyQkgBMnTvyjc9SqVYuzl6rOu/OXc/B21VDP2czDHdtx8KD9GmUq\nlQrJLBK3+CT6ggpKUos4/sk+FBola9euJS8vz9YSqyBKd/awV24ZU7B27doqFpu9+XPuFp9+9inl\nqiLMFWbO/BCLX6Q/rgFulGSVcHbVGWo2C+DCxvPEc5FlK5Zi0Bvp2KkDfXr1JSgoiJ49e6LRaG59\noutYW2JK+NTxpH7nqk2RXH1duHr16j2rbX0nXLt2zfrHxgtIzWpaZ/WJNBAkGjVqZFtxNsTNzYXM\n1MIq265lFePspmHbj2d5uOvdKTbi7u7OqaNXMJksKJXWoj/x5zMAgRdffJFdu3bdlfPcdVQyLHnl\n5H2wC2WQB8ZLuUhmkXLMt37vA8jGjRvReboQ1Ti4cpu/nwfRzety/PhFMjNz8fL6Z2XDhw4dyuuv\nvcKML3YwelALEpJzeXbqWvRGMytHRjNxXSw9uj7M6TNnCQsL+4cjugdYBMzlJsS8MnaMXY9Co8Bi\nslDvkXCyD2WRnZ39jz+ju8mDFlNwy5WCPXv2EBwcXPlYtGhRdeiqdlatWUmLEQ0ZMb8vKo2cDc+v\nZ82QVWx8bh0V+eVc3nUZpVaBf30dT8/vRd8pbdi7by+fL5/FGx++SlCdoNvuDT927FiSrl7BO8CN\nvKtFFGWUVO4ryizhWkqe3QXwXblyBSQJTCKcTIfYzMp991Wnx7uI0WhEkiTOnkhl1beH0VeYSL2S\nx4wX1+LqruaHeQfZvWsPrVtHUz88lE6d27F+/XoOHTrE0aNHEcXbLw/dpk0b9HoTTw34it3bzrF2\n1TGeG7oAATh58ihms/39yFosFjBbMGeXoPTSIrOIIABIaJxu34B+kIiIiCAvv4TcvOLKbSaTmbjz\nqfy4eg+hoWH/+Lvv6uqKTufJ4bOZtBo8nzc+3c77bw6kY9twfopJY0hUIE4KiehmUaxdu/afDumu\nk5OXjdZDTXpMJhpXFaYyI6JJpGZ0IBa9mbp17TdI8kHglisFu3fvxs/Pj549e/L+++/b5cXnbqDR\naDBVmPGO8qTz2GhiN1wgP7UYU4WJ8RufYOnItRRllDBwUUecPbQseG4Dw7/sg399bwDitibQu19v\n5syeQ//+/VGr1RgMBs6dO4efn1/lXf/y5ctZsWoJQya2wsNby1dv7mLlCxuI6h+BTC4jZv0F1M4q\n4uLiaNeunS0/kiokJydbWyUbLVCkt250UYFZ+tc2yNqxYwf16tekfaf6fDdvG/Pe+Q2NVonJJOLn\n745cJkOtFQiLVDPkqYHs33mRJ54cgn9NL+QyOaJZwYZfNt3Wj4C3tzdlpXpadgxh/tztOLuoeeOD\nR9i+8Rzb1p9hxYoVjBo16t4P+m+wfPlyBIUCha8zcjctlmI9mEUkk4XQwGBby7MJw4cP5/XXX6H3\nwA/55P0RaDUq3vrgR4qKyti06Qh1Q0Pp27cvCjmYTAa6PNyTsWPHUlhYiMlkorCwELPZTNOmTZHJ\nbn5Pl19QxOFN/4ePt2vltktXskmNTSCn1IAEhHhrGDViOHXqHKZp06bVMPpbM3fuXBAERix6DCSJ\nkmtlyJUyvn/yZ357fQurVqxCpVLd+kDVyN+w7e8Lbpl9YDKZGDx4MDVq1ECr1fLpp3cncOqGYmwY\nEfzRRx/xyTcfUb9THS7tSaLT6GYo1HL2Lj5NfkYxosVa5vmtXaNIPJLGwdVxDJnTu/L9kigxt/cy\nAkL8MBVJvPnGVN58awrOHhqKckvp1q0r77z9HtGtmzP52z40iK5J/KkM3hu9AbPRgiAIeNZyp/W4\nliRsvcykYW/84yyHu0nTpk2JSbpgbYBQz9vaPjmpAIxm0lLSbOrqsNW8Wb16NctXzmXFmpcBiDuT\nzKC+H9KxUxQNG9bm+0VbKSwsZeCT0dRvWIO5H25h/NRutO0WRlpSPqcOX2Xrqsuci7tYxS2Xk5ND\nTk4O9evXryxhLEkSao2STccm4e6h5beNceTmlLB320XOx6YTUT+cmNiz1f4Z/BUdO3bkwInD1Jrd\nG9n1hkiGqwVkztrHyKFPsmTJEptps+W1plmThlQUZJFdYkAmQNtwHyoqjBy6kIOTSk6LYC+OJ+fj\n6qpBX2GkwixhlmQIRiPOSjlatYpik4V+AwYy8ZVX2Lp5M7s2b6Zm7dq8NGkSUVFR9OvTi86t3Hl5\nTFcADAYTzTrOoJO/CytOpaJQynHSKPD1dCK7SOTS5WScnZ1vofzecv78eRo3a4xPiI4nvq1a3GrB\noFWU5pcjmmz3C3yz7IOPT4y5o+O90eJbu8w+uOkt3gcffFD5d7169Vi1ahVjxoxh5syZvPnmm9Ui\nrjrp2bMnb70zjeOrzzLhx8F4Blgt7LDWtZjVewUBYTpykgr5tP9K6rcJorxQT1l+ORaTiJufCyaD\nGUmCwZ90Zs93J3np/yYwZn5fiq6VcX5PMvuO7qZJUZ2fFwAAIABJREFU08ZIokTdJn7EHUnjozEb\nefjppnQZ2QRjhZk1Hx3g4uZ4MmJyeOizh2z8iVQlKzsb9GZ4IgpU16dNQC7sS+by5ct2Ff9QXXTr\n1o2xY5/nwvlUIhrU4p1pq5k67QnGjOsDwMT/G0Bkg+dRGLRsWnWWshIjmWmFPNp8Dv6+7qSm5aNQ\nyPD29mTw4CFMn/4Ok19/lfW//IKbs5KCogrqh0fwyezPiI6ORi6X8cyjCykq0NOyVTj16weSnlSI\nRq0iJTXFxp/Gn9l/+CCaCJ9KgwBAXdsTBIHMzMy/eOeDTWZmFkc+6UUtn9/TSPtN30KLOjq2/F9n\nlAoZ5QYzHWZuZ0jjAAxmkUUnUpnSrDZjGgQAsOZyDpNXr2TNyh9o7eFGfxcnLidepO2qVfTs8whv\nTX+Xzp3ac/pMMuH1AliwZC9FhaUsz8jH1UnNKyNa0bF5EO8s2E9ByTVWrVrFs88+a6uPBIDJ06Yg\nkwvkJhVQll+Os86alp17JZ+KIj0ypX020LLnoME74aZGQc2aNavcvbz77rsPbJAhQGRkJAq5HI1O\nXWkQAKi0Smo38aft4IbUfagmC8ZtJPNSLkUZxSwY8lNl8SFBAA9/Z9TOKjRuGpp0D+XExotkxF2j\n1/DG1A3VsWHxKVzc1IzrsASz2YJ3LXd6PNccAKVawdBpHZj68FK6d+9BZGSkTT6Hm5GdnQVhXr8b\nBAChXrDzMufOnaNDhw62E2cjvLy8mDJlKg+3eZO2HRqwf885Vq6aWrlfq1UzdFgn3Jw0zP/6Jdp0\neIV1i05was+HhNTxI+daEd0f/QB3Nw1r1qzk5zU/0ryBH6l7J+HirObw6RR6P7uExx97hOIyIyqV\nEotR4PXJg3n1tUEATJv+BE0ajsVitr/vpiQXMKYUIplFJIuIoJRjyioBi4ibm5ut5dmM1q1asWb/\nZV55zNr9zmIROZmYw3ejWqK8Xt3USa1gYo9wfj16lRmd67PiVCrPNwiovAYPruvH+yeS0CEwJ8AH\nQRDo4u5CoErJ7G1bmZiWxqDHh/LzT6tQCKcwWURmPNGCx9uGEJOUx4vzDxJex4s1Hw+kZs+5HDp0\nwOZGwZGjR5DJ5dTvFcqy0WsJaOhHcU4p+VeLUDgrUVrss1/GgxZoeFOjwN78k/cauVzOc8+M4Ztv\nvyY/rRhdoPWiZSgzkn4+B7/Q9ig1CjqOjGLDJwdp+1gEj77cErlcYN9P59m+JAZ3nZatnx9CkAsY\nyk0kxmYzf9cotNfztBu3rsW8yb8x8Z3ufPTCr7j7VF2uUzkpUSjkzP9qfrWP/1ZIogQ5pXAmE1Ry\nqKODchPIZQQEBNhans2YOHEiM2e+z+kTV/D39+TC+RRatY6o3H/xQioD+7dBEARcnTVMfrkfIXWs\nhcB8fdx5583BzJu/mXat6rF911nmTuuDi7O1YmbrpkEM7dMYb50Lc78/QIOIIM5dSGH0s7/3UXd3\nd2bI0I5s23Khegd+C6xBhiISkPL6FsRyE4JCBnIBySLy3HPP2VqizXj/o09o07IFcVfzaRbqw6o9\nCajkMgrKjVVeV1BmwEWlQBBunPWlt4i0d3ersq+1qzNl6dnExcZy5WIcaplAr8gANG4aXh1g7ZsR\n5OuCySzy6bLDPNIujFr+bvj72/47rK/QI1PJcNI5oXbTUFJsoHav+rheyiV5x2VkqlvGxduEB22l\n4Kaf8uDBg1m/fn2VQhoVFRWsXbuWQYMGVYu46mbunLl0fbgb3z2/gZO/XOTMtkQWjdlI426h6K6v\nHhRmlaIvNTLg/1qiVMmRyWV0GtYIJ3cNPZ+KInZLAgmHU7mw7yqNWgVWGgQADaNrUpKvJ7x5ADpf\nZ67EZJKZmF+5/9SWBAIDAwkMDKz2sd8SASgxQn4FXC2ElbGw6SIg2d2qRnWi0WiYN+8rTGYLMrmM\n0aNms3tXDFevZvPO28uIO5vE44OsqygFhaWo/qc7oFIpx2wR6di6PgBqVdUlUrVKgZNWRWhtL5o2\nC8PPz5PkpKwqr4m/mGp3GSBmsxlEEbHMiEu/CHxn98ZrSifkXs4gE0hNTbW1RJvRoEEDTsacZdWe\nRBZtu4AC+HhwM979JY74LGtWwqmr+Xy25SIjo2oRqnNGLhP45lxaZQv71QlZSJLEwdKqRX6OlJYT\n5qSmjoczZRaJhaNa4qJREllbV0VDwyBPUrNLSEovJCG1gIkTJ1bnR3BDRERrpvPyGGRaJR1ndiek\nexgtXmxNwyejMNtpGuuDVrzopisFixYtYsGCBXTt2rWyWISXlxePPfYY33//fbUJrE4EQWDLpi1s\n3LiRZ8Y8TUlpCUjQ5gNrrnluahEHVp1FqbYaA39ErVUiVwioNApkQL0WNbhwPB1RlJDJrJZ8elIB\nCpUcJxcVFlEisJ4Xc59eT3jrQEoK9KTGXePQgSN256ZJT08HmQyGNAbX630fLuXCwWRAokaNGn/1\n9geekSNH4uXlxaMD+qNSKXly+EdIkoTFLPLO209SVFTGz//ZT/ylND7/ejMD+0fj7eVGWZmejz//\nhcH9W7BhWwwyQeDNz35j2azHkctlJCTnsmpjLFuXPsOHX++iZnAOL00YwPgx85i/cCJ1QvxZsvg3\n9u09y8qV9tX17syZMyATUNX3QdvSWpZWrnPCfURT8mbto1+/fjZWaFtCQ0Nxd3WhuNyIxSIy+afT\neDgpeWjGVjRKGUazSHSgB9mlep7+z2lKTCKfnk1nbmwqarkMGTC2XgBzL6QxITmDx73cuWowsjAn\nn0nBfszKzEOplBMZ6E6Zwcz8/ZcZ/0gD5NevWyv3JuLhqqb5k98xY8a71VLG/lZUlJQjU8vR+DoT\n1LFOletgYOsgLqy2r0Da/yI+YO6DW2Yf3Ck9evTg9OnTTJw4kalTp7Jnzx6GDRtGeHg4AJ9++umf\nGqLYuvfBH5EkiV9++YUpU6dw5UoiCrUci1mk7eAGnN2ZTPenm9B+kDWVLP54Ot9N2s64z3vw1Utb\nsVhE3v11KB8NXUfdRr489nwLigv0LP/kAN0GN0KSYOPS0whyyMssBQnqh9fj1w2b7e6OD6ypZSOn\nToBHwn/fKEqw6DhYJEwmk03TEu1l3qSkpNC6dUtKS4spK9MjCALOzhosFpEWTUN5960hfPbFRrbt\niCGifk0uJ2UR3SwEJycVew/Fo9WqMBlMIEkEB3pyKSmX54e34vCpq2TklIJMxoAB7ZHJZKz4YQe5\nucU4OanRap3JyMj6yxS16ubKlSuEhtVF27Y2boMbV24Xy41cm7INk8H4r58zs2bNYuqUybhoFCjl\nAoXlJh5tUINwX1d+PpNGckEF0TXcaevvToTOhWmHL9Ph4QaYzSKxsSn4+rjStk1d5n67G5lZwl+j\nJMxFw5FSPZ++N4AvFu3lsXAf/q9bOAO+2kehwcKANsGcSMxlR0w6eqMFUYRreXm4u7vb9LMAUDqr\nCBvZlKu/XsQzyIN20zpX7kvedZm0n5NJS7LdCtPNsg/eOnxnrrD3Wi+0+Ry8EffMKEhPT2fHjh2k\npaVVGgU//PADCxcuvLkYO/ii3giDwcAvv/zC3C/nkJBwCQkoKS7Gw88ZlUbBtZQiwlvW5PzhNDw9\ndPj7+3Hx4kUsFgsKhRyZ3Npd0lBhRq4UkMtkuLt70LnTw8yY/g7+/v64urreUoet2LRpE31GPG5d\nKfgv5SZYcRqQkGy8FmZv8yY3N5eRI0eyc+d2vL3ccHJSk5p2DUkEtUaJXm9EFCU0aiWeHs5onawu\nJqPBxKx3hzNyzDe4uGiQCaBRK8ktKKNF0xD0eiPn49NRKBTWlQiLSFhYGKtW/VRpbNsLM2fOZOr0\naQgKOV5vdUHuZi1WVLrpImW7LyPpbbsUbA9zRpIkXnrpRRZ+Ox+NQo4kSRjNIgLgrJIzqkktFp5K\nwd9ZTYHBTLHehLOrhn3/eYmIMD8KCsvpN/JbLlzMpMxkIaS2F0MfbcbQfk1xd9XQqOsnmCuM9Ghc\ng6hanszfba1RYLaIaNUKnNQKagXX5dgp25cpz87Oxr9mDdTuGlyCPChOzCOkRxhB7YMpTCrg9IJj\nvPbya8ycOdNmGm9mFLx56M6Mgplt7NMouGem+o1S1LZt20aHDh2Iiopi1qxZf6sssC1Rq9UMHjyY\nwYMHV24zm83s27ePU6dOcSkhnhr+NfjxmyepV68eYP1hsFgs+Pn5odfrMZlMlJSUYLFYqFWrlq2G\nckdkZmZa6xKcSIPGNaypiXuvgFwAk/1Nalvj7e3N5s2bMRgMbNmyhbi4OE6ePEFychJpaano9SbU\naiUSIkXF5RSX6HH30KHXGxn7f4uRK+QYjWaMJjNGk0i9sEDOxKVgMJqxWMx4e3vzxRdf06BBA0JD\nQ+3O3QSwc+dOBJUcZYgXeR/uQd3AD0t+OZbsEvhD/4x/M4IgMG/eV3z88ScsW7aMV/5vIjU81eQU\nVRDq6cRvl69hQSKpRE9EXT/0ydfoFe5Lyz6f4enpRF5+GQLgr5JT311L4rUS5i85wP6DCRyKTUWO\nhIdayZ4L2Ww9m4lJFGlU15u4y7m4aFSYBCXfLLQPV3BhYSGCAO6RfuQeTKH73D5c3hzP8S8O4+Ln\njLOvC9nZ2baWeUMetEDDalu/a9GiBYmJiahUKqZNm8bs2bOZNu3PHa9mzJhR+XenTp3o1KlTdUn8\nWygUCrp06UKXLjeube/t7V35t0ajQaPR2PVqwF+xfPly8HaGhDxriWOlHMJ9IKMYlNW/ZL1nzx72\n7NlTZZs9zhu1Ws2jjz7Ko48+WmV7QUEBOTk5BAcHk5aWhqenJzqdDlEUOXr0KNeuXaNdu3bodDri\n4+M5fvw4devWxd/fHzc3N3Q63U3OaD8YDAZAwLlDMKZwHyzpxTi1rY0kQMmP1X9nas9zxsnJibFj\nx/L444+zePEiNqxby4WL8egrjEiCQJCvC5lpeYR6O/OfU6kMbh6ERRL5raQCgwWKBQGTJNGqWS0u\nXsrh6OkUarioWPRECy7nlvHqL2dZOuMRLibn886iQ0Q0asy4ceMZNGgQHh4eNhnz/3L27FkUrhpK\nEvORJAn3QHeiRregPK8MFz8XDszcU+0ujhvNmRthz0GDd8It3Qfx8fF899135OXlIUkSgiCwePHi\n2zr40qVLK90Hf+TChQtMmTKF9evXVxVjB0t6DqpiMBhw9nDD4qGC+j5wrQySC+ChQDicAhYRyWzb\nOp+OeWN/1AkJITklGUEpR1XXy5qmm5iH3MsZc1oRksUxZ26HxMRE1q1bR1paGiqVirKyMg7u30tF\neSk9evfjvffe44u5c1m2ZBEGfTm+fn706N2fk4cPciomBk8Pd1zc3cnMzMDP15c333qnyoqnvfD2\n22/z4Rez8OlQh7x9SehCvci/lIvGXYOh2IBJb2Ldz+tsGqB6M/fBq/vurL7Dpx2+s8s5eMuVgqFD\nh/L6669XLnn/naXKPw64uLi4smDJzp077c4H6uDG/PTTT4juKhjQsPJ/L51KtxoEAvh42W9fdge2\nIyM/G0Euw3N0c7RNrNkphst55H5+EOW/tFfGnVC3bl1ee+21v3zN29On8/b06dWk6N5QUlKCTCGj\nKC4bU7mJ8uxSHl/0GM7ezhSmFPLLxF8xGo23PpANuJsrBUuWLGHhwoXXXUvz/tST4uOPP2bHjh2Y\nzWbefvttOnfufJMj3Tm3/HYGBQUxbNiwv33g559/nkOHDmEwGDhx4gTdu3dn8eLFODk54ePjc9ur\nDQ5sy579+5DqelU1BkN0VjeCTCCqSRPbiXNgt5gqjAgaBZrG/pXb1KFeKLyd8ZPbPtLdgX2xZ+8e\nFJ5aBKzVXVuNicbZ21rczSPIg6bDm7Bh0wa7rJFzt2IKCgoKmDdvHkePHiUtLY0RI0awf//+yv1b\ntmyhuLiY7du3350T3oSbGgU//PADYG3D+corr9C8ubUcryAIDB8+/JYHXrBgwZ+2jRs37k51OrAR\n9erWhZ1rockfahFcKwOZAAYLAwcOtJ04B3aJXq9HMppBuF6lRXF9hUmUEMuMjHhhhI0VOrA3EpIS\nqCjX49GqFpLejEJdtYiXUqtE/9/urA8ox44do3379igUCoKDgykpKcFkMlU2Rfvpp5/Q6XR07dqV\ngIAAvvzyy3tSLvymUWIJCQkkJiYSFhaGu7s7iYmJJCYmkpCQcNdFOLBfdJ46SC1EOpyClFuGFH8N\nDlyFYE9QyiuzLRw4+C85OTmglCF4aClcHYtYYUI0milefx7JYLZ5jX0H9oUoiugNRjxa18JisGAR\nJU6uiMFstKatGkoMxKw6w5NDn7Sx0htztyoa5ufn4+npWfncw8OD/PzfK95mZmYil8vZsWMHLVu2\n5MMPP7wn47npSsF/I3M3b95M796/twjetWvXPRHiwD7Zf+gg1HKHpHxrgKGrGrrXBT9XuHSMBg0a\n2FqiAzvjp59+AkFAMokYrhSQOWkLSBKCkxLJLFKnTh1bS3RgRyQnJyOaLZScycazTzjaqBoU/CeO\n5YNW4hXqRf7lfGSCjL59+9pa6g253YqG6TGZZMTcvDuoTqejsLCw8nlRUVGVTCOdTkfPnta+Jz16\n9LhnpalvmU82e/bsKs+//vrreyLEgX2SlpoKRgu4qRGGNUHoE45Q0x3MFhCEKpatAwfw+42Dy5ho\nnMe0xHVKJ7QjmiIZLFbjwA7rKjiwHYWFhSAT8H+xNe6dQnCNrkWtD3ogygTUzkqGLn4MQ7nB2mTL\nDrndlQH/JjVo9lSzysf/0rJlSw4cOIDZbCYlJQUXF5dK1wFY02aPHz8OwIkTJwgLC7sn47npSsHy\n5ctZtmwZMTExdOvWDbAW7NFqtfdEiAP75MiRo1BRBgo50rdHQecEzQIgMQ/kAiqV6tYHcfCv4uyF\nc8gC3TAeS8N8LgsEAUWkv7WpltxhEDioys6dO0EETbAnxsxiircnYs4qReGqxreeD0XpxdQIrGHT\nsth/xd1qnezh4cH48ePp2LEjMpmMuXPnEhsby/bt25k0aRKjRo36f/bOOzyKcu3D98yW7G56IQkJ\n6QkthN57kSpFqSrSRUWxC4p6rChVUFRALPSuIF2Q3iH0AAFCaCEhvWf7zHx/LEbj0aPyETaU+7r2\nIsyW+c3uO+888z6NkSNH0r59e7RaLQsWLLgt+/0jf1mnoKCggLy8PCZMmMBbb72FoihotVoqV65c\nbpb+3ZI7fD8hqARQiYidYhBCvVBSC5F/vgCSgo+nV2mzLKdqfDBuKhQBwYFk5uag9jOgDnBHdNdi\nS8nHllIIVqlC/FYPxkzFYd68eTz1/NN4tI+iYHsy3uFeRLaPpDClkCvbLyFLMk8Pf5ovv/jSqTr/\nqk7B0C3Db+nz5nX6vkKOwb90H3h6ehIaGkpSUhJhYWGEh4cTFBT0YOnvfkMUEBpWQYzxQ3BRI0b6\nILQIA1GgX79+zlb3gApIcEAQyAqyArK3Hmu+GSnTCIpy11b1fED5UaVKFWSrRMHuy7h1qYotxo8T\ni0/hFeFNcJMqSDaJli1aOlvmXyIpyi09Kir/cz1GFEWaNWvGoUOHaNKkyZ3S9ICKhEpE8C7rMhK8\n9CgCTJw40UmiHlBRkWWZkwmnELx16IbWR7jZudG67yrKwWsPDMkH/BcfTRwPKhH/d9qh8nT0w9HV\nrcyxaftoOLIhKQeu8fDDDztZ5V8j3WPND/7WSbN8+XKWLFmCSqVCEBzd/i5cuHAntD2gImCTkc9k\nIMT4li6fKQk3wCZRUlJSYWqnP6BikJ2djazIaGoHlhoEAOpYf2x7LjN8+K0ttT7g3uX06TO4hHmV\nGgQAmiAPRHctV3ZdRpEerDDdSf7WKLh48eKd0HHfoigKO3fuZNu2bQQFBfH4449XmIh+RVEcwWG5\nRqRlpxDCvFCuF0CWEaBcCmc84K8pKSkhISGBo0ePcvLUMUJDwnnqqZEEBgb+/ZvvEN7e3iArSNcL\nsF/MQU4tRPTWo6hFEAUaNWrkbIn3BbIsc+DAAdauWcOBA/tRZBuNmzbnhRdeIjw83NnyylCvXl12\n7NmFLa0QS2IWgk6Ntqof1mwjeSW2Cqf3j1RkV8Ct8LdGQXZ2NhMmTODcuXNUr16dcePGlekA+IA/\np7i4mBUrVpCamkrr1q1p3bo1giAgSRL79u1jzrdzOHDoALl5uaCBsHbhmA+Zee+j99mzY3eF6A2x\nfv16Ry6N2Q5WGcWY5WihrHFM8A+s99uPyWTi8OHD+Pj4EBsbS3x8PNOnT+fAwb1kZmaiN2ipHOxF\n74ENOXPuPHXqfs7OHXuoUaOGs6UDOFKoRJCTc7FcL0AwaFGskmPcyPKDbJVyQlEUJEni3LlzDB06\nhHNnE5AVBXc3HS0bRdC/e10OnThOk8YN2LFzT4WqL9KrW0+2bd1G5sc7Ufm5okgy8pKTuPrpsRRY\nePXFV50t8X/i5N5et52/NQqGDBnCY489xqhRo9i/fz+DBw9m48aNd0LbXcuVK1do0bo53pHueIQY\n+PSrKZhLLICCzSyh1qmoFONHZNdwslZm0Wv2o6h1jp/i7I9neOn1l9m8/mfnHgRw+fJlxx/eeoTW\nEQgmG4qvAWVtIqoim3PF3YOsW7eOYcOHEBruS8q1TCxmK4oCkiSj06l55T9d2bjqBIs3PYdK5Via\nD4v05u133mTVj2ucrN7Bli1bQBBAo0Ks7IFY0x8lx4gUf51/UBblAf8SRVH49NOpTJ0yiazsXNxd\nXbBLEq56LU3qhyGKAitnDUEQBPp3r0vlSu6M/+g9lixd6WzpgKML66tjX0NQiYg+BgxtI8EmU7I1\nCWOeGZUoYDQanS3zf3KvrRT87VlaUlLCoEGDiI6OZvDgwZSUlNwJXXc1r7/xGtFdqtDjkza0GdWI\np5b0xdVHT90uMag1IkgK3T7phDHPRESbiFKDIPdSLsU5JezYur1CxG3Mnj0bXFSITUMRgzwQonwR\nvfQIDYNR6R/c8d1OsrKyGDzkSb5dMZxV21/i0IWP6DeoKdVqBOHiosHDS09aSh4Pda9VahAANG9f\nlYMHDzhReVnGjB2L4O6C4K1D/UhNVNUqoW4ehrpD1IMaBeXAzJkzWTL/K7YtHIL53Md88UEvtGoV\nkiSze3cShw9dZuCzCzifnAlAt3Y1OHb0qJNV/8aqVatA5+hz4PNyCwzNwzC0icD7xeYokoIsybRu\n3drJKv83kqzc0qOi8rdGgV6vZ9GiRVy6dImFCxc+KF70N5SUlLB582ZqdY0u3abRqanZMRqtQUP7\nkQ0QRIHirBLc/FwpSCkAIHFtIpvf/BmTXSaoQyQNmjZ0lIt1IonnEh2pZafSkb4+hDTzINLmCygl\nVuw2u1O13WusW7eOVu1rULdhOODI/Hl5XDdOn7zGp18NJS/HiIenjsRTqQCcP3ODAZ2+oH+HGeTk\n5DH6hecqRGvZ80nnUUx2xKiynTXFCJ/b22P2AQDM/OozvnivGzVjAlCrVTz5SH1aNgrHUmJjiMqH\nd6RKuOxKo1WvGXz23W5Gv7sam10mIyPD2dIBOHbsGLLFjqqyB6LhtxsNdSU3RFctsk2mYcOGTlT4\n99xrKYl/axTMmzePI0eOMHr0aI4dO8b8+fPvhK67ksLCQho1bYgsyuSlFpZ5Lj+1EHdfA8E1/dHq\nNaSdTCeqTQSpR1M5Ou8Ix+Yeocknnak2uD41nmpE3Fstefb5Z7FYLE46GuDXO1JFgX5xMLAuaFRw\nNI2gSgHO03UPIssyFnPZ3zp+fzJatcjsTzdgMVnx8jZw7OAVJv9nHcN7z6HzgDg2nh/D8kPPc+zs\ndt54c4yT1P+G1WoDAeRLuWUKs8jXCxBUD9wHt5ucnDyCA8u2or50MZtBam86az0JV7nQX+tDI4uW\nz77ZQ98+rWjeOJSqMZEkJiY6SfVv6PV6ZLuElF7k6Kx5E6nAjGK0onJRVfjaOJJ8a4+Kyt+epQEB\nAXz22Wds3LiR6dOnExDw4GLwV8z+ejZ2LzOtnmnI5ql7uZ6QjqnAzJGVp7kSf506XWNI3HUZi9FK\n/Lyj7P/6MFp3HanHb6Dzd8MQ+FvgnmeUL6JB41w3gv3m6I30cXRG3HUZAt1BJfDuu+86T9c9RnZ2\nNlM/ncieHWfZu+McAMvn7+P1EfOZ8kwLxg+oQ9fGYUx/fyM2q51VS48QFuNH9yfqoVaL+FRy49VJ\nnfjuu++QZSfPNmoRlzYRKLlG7BvOIV/Nw34sFfumCzzZ/3HnarsH6dy5E18u+M19VFBo4mpKHjEq\nXZnX1VDpaVwngudHdmbhnOcZ82J3nn56xJ2W+1+cPXcW72ZhqD1dyP18H5YzGZhPpJH3+T60blrE\nuyAO5V5bKfjLQMM/a7bwq8VWEfzdFZFVa36k6kMRRLcK5+LOy6x4aRM2mx2Dqwsqjci8FzaQfa0A\nRVGwm+0kbU3GM9KHKq3CSVxyEtkuI6odJ4HdZKMwK99pRti+ffscPmCVAMfSoEGw44mjqaASCQoK\ncoque5GPxn9I/WaBvDWpI2OfX4xkkzAXmVn6n650aRwGQIf6IdR7eilpRRbiGoXgoit76np66zEZ\nzciyjCg6ZyJVFAXFZse6+wq6tlHYbxRi35zkuAOUJebNm+cUXfcqqamp7N9/gMyMG+w5fIma0f6s\n+eUMNllmn62YamqHq1dRFPZh5PG2saXv7d+7KZ/Ncn4w89lziRRcSsXnoWgUWaFoXSK2PBNqoOkT\ncRxadoZ169ZV2A6J9yJ/aRQkJSWV+f/q1auZOHEijRs3LndRdyt2q0R6YhZpJ9IJ8nCl+5gOLJ97\nkEHPt8Dg5sLcz3cjAhazhMpFoXK9INJPpZOT6IrOz5VTM/YR3b82il3m/MLj6Aw6/P39nXIso158\nHhpWgSPX4ZGaoL/ZrSvEExYdrzApcPcCW37ZxCczu1OrbggL1j5LvzbTsdgkWtf+zfASBIGujcOY\ntvIEl85mkJdrIv16AYFVHEvHP34fj7unwanDolChAAAgAElEQVRNY4SbWQf6R2LR1PTHBccFqeSb\neKSUfDIzMytUTYW7nVdeHk2fztF88OrzrN92llOJaZiKrbTCg53WIgpkiepqHXtsRaQZBEYMal/6\n3uMnrzhqkDgZ2SbhUT8Y/0cdBktAn1rk7bqMaXsybZ9qSGjtQF5+7SW6d+9eYd0IFfmu/1b42xlk\nzZo1TJw4kQYNGrBq1SqCg4PvhK67kk4PdWTqZ1MREfj5yBh6t/mcr1cPJ6JqJQDaPVyTh+tORdEq\nWC0SWaczqNI0hGv7rhHUNhK1Ts2RD7chqEQ8Y3wJiYr+mz2WHxfOnYcAPbi5OFYHjFYI8oDq/uDm\nQmZmJpGRkU7Tdy8hCiLXr+ZSq24Iu7ee59Fm4Zy9ksvP8Vfp3coxBiRJZuvRFCr7upKeXkTtpqE8\n1flbGrWJJDu9iKy0IkqKzE49jnPnzoFNQrHaMW+9iOijR1MrEHWML+QbSUhIeGAU3EbWrtvIjSPv\no9Wq6d21Nr271uab7/fSrNCdvvix017AabsZN9QUW81MnbGOAX2aczLhKq+8tYCSYhM5OTn4+vo6\n7RhyivJwaRhEYfx1BLWIa2wAunAvim2ONskRjYJZdu0XTCYTBoPBaTr/FxU5k+BW+Euj4PfGwA8/\n/PDAGPgHvPTSy0yeOhmtiwaT0YreoCk1CABc3Vyo3ywcT189O9YnYrVKpO6/BkDG/qvUfKYJVQfV\no+hSLscn7+azryY561AQNWrILgGTHcGggWAPlMRMR8vkInO59fK+H6lfrzHj3/gJH183VGqR7AIz\nHw1swMBpO7hwLY+IIE9mrknAy11Hep4REYFLiZl8vX4YCfHXcffSkXmjkFPbTU49jkOHDiFoVVj3\nXkXfIAhrYiaWXZdRBFCM9gdj5jaj12nJKzDi5flbRpjeVcuZQhPVMdADHwC+IZ1oRWDvd9v4etYm\ntO56Zk8fyeMjZji9mFTOjSzEFTn4VPNDskqkzzuGa51A9G4OXTfOZ+Pr51Ohs97utaSavzQKHn30\nUapXr8758+cZOnRo6XZBEBwFSh7wXwQEBPDiCy/y9ZxZJBxLoaTIQtq1PIJCHWWLLWYbZ0+k8vF3\n/fhl9WliGwSReDwNtUGLpdDMmVkHOfnpHvSVXFEsCs2aNXPKcRQWFmIqLAa1iPBQNGJVRwVLpaof\n8uITqFRqp95d3GuMHTuWNWt+5N1XfiTlajZalcjjLSP4+d3OfLHhLN9tPENIoCfNawdzI89Iv06x\nzFt/inHDVtKxdy1OHrrGtjVnmT93oVOP4/jx46j8XPF7o01ppkHB0pMYD1wFRa7w5WrvNho3bsIz\nb65g8ReD8PU28OPGU+QZzazHjIJCDQwcp5hjQjEGRSS/sIRiu4S/wYWFy3dTv35dp1YlLSkpQVSL\ntJ/QmUo1HW7SKzsucXjGftx8dCRsuci2L+OZ8vGnFdZ1APfRSsGlS5eAB33H/y2fTp2GyWjm3Ze+\nJSTcl+f6zuO5tx7C4Kpl4cx91G8ZjmSXMbhpyUwtROemRdBr0GhFPKt4ojZoKMwyYrxWjKen59/v\nsBxISEgANy2U2BDCfmt4JAgCRPkSnFHxI4LvJuLi4hg58llmzf6KhzrX4dSJKzw7az+KomC1y6hV\nAhn5JtQuGjbNfJLQyp4cP5/O0QvpHNl1iWYdYmj/cC2ys7OdehzzlizA8FB4mdRDQ8swTIdTUO6x\nibMi8MKLL/PsyEHEtBqPSiUSEujBlFc68tKETWyx5LFbLMAiywiiwCeRQbT0dMMsy7x5KY1tW44z\n7JlRTtU/Z84c3IM9Sg0CgLC2ERyZeZD8tGKOrUnEmG/mqRFPOVHl33PfxBQ8sOpvDUEQmDVrFuPH\nj2fYsGFs3ryZCWPW4lPJjY69a1GzfjAfjl6Nm6eezLQCrBY73sEeuLhqcXXXcuVoGrJdodNDnZ1m\nFBQUFECx1VGTIK0QIhzLkIqiQEo+/lWc35fhXuPTT6eRknKNw4f2YjPb8fbSk55VdLP6GZxfM5r4\nM2m8NWMbrgYtoZU9STdaUWxQXGDmxtVCQkNDnXoMhYVF6NOLymyzZxSDAC4Peh7cdrp27UpYeDS+\nuiKGP1KXEpOVV6dsAbvEK9GBJBstrEzLpaWbKy093QDQiSLvhgXS8sQFEhKOO1X/1atXsVvsKIpS\nuhIg22Qkm4SgFmjxZB1WvLnNqRr/CffaSsGDW75ywtfXl7Vr12KxWNi35zAlhRKLv9zPtLc2MXxM\nGxbseoZpyweidVHz6OvN6PtmC2SjDd8QTzQual572XlNQHJychx/2CXkbcnIpzNQUgqQf7kIuSae\neqpiW+53K8uWrWDCxOk0a94aSXRFq1WjEgVc9VpGvL+WyfP2065xBNEh3qzflUTq1Rzyc02s/O4w\n5mKRrl27OlW/osiYDqZg3HsFudiK+UwGhSsSUGwycbFxTtV2L6JSqfh5y3bs+nBGfbieBUsPoZEk\nZEXhRKGR5Wm5CKKAi1h26V0jCCgKhIRGOEm5g8DAQCwFZhJ/OI1sl7GbbRz7Nh5RLeLqpWfdpL1U\nq161QrsOwBFTcCuPioqgVCDfwL3sqkhOTqZJ8wasODKKzLQiVCqRSpXdGd17Ac0Hx1GjRShWs50P\nuyxCkhQKc4qcFgQ0e/ZsRr0/BnKM4KUDV62jUyJATgmWErPTA5R+z708bmpUr0Zy8kUMOg3Xf3kF\n15s9Jw4npNL+6QW4exrIzSkmIeEM1apVc5pOk8mEwc0AKhF1oDtSVgmimxYp3wwo/Lx+E507d3aa\nvj9yL40Zi8VC717dOXv8MPWCPdh04joqrZpgbz1BnnoOJmWxrEYENV11yIrCxGsZ/JCdz6mki0RE\nOM8waNe5PfsP70etUWMttoACglpEJQo0GFCL/d8dY+mSpQwYMMBpGn/Pn40ZQRCou7D/LX3eiUEr\nKuQYdF5S832Gq6srFpON57rPJ+tGIZJdJio2gPwcIzpXx0Sv1anxreJB0Q2bUy+6eXl5UGQBTxco\nMEO+2VHqWBTArmA2Vyyj4F4m8dx5fH19aBbrV2oQADSOC0YliuTlFiNJMlWrVnWiypurS2oVokGD\nlFkMgGy2g1oAq0ynTp2cqu9exsXFhfWbtrB3715+/vlnfjk7mRe7VOeDvnUB+GJzIgMWHyPG4EKm\n1U6xJNO+WzenGgQAF5OS0PsaKEopRFQLiGoRUQCtq5bguEA0Og39+vVzqsZ/wgP3wQNuCX9/f9Qa\nFT0G1GPTqTH8nDCW2vVDKMwxElbbUbWwMKuE9Iu5mEzFHDx40GlaFUUBiw3yzQghngiRPlDVz9ES\nVy04NWL5fuS7774n/kwadvtvJYzPX8lGUaBHp9q4GlxIT093okIcOeSyjCrQHXWYNy61AxHdXMCu\ngECFXwK+2xEEgVatWvHBBx9gskmM7V4Ls1Vi8b5LpBeYaRDli6urhmJFxirL7Nj2iyN2yEkoikKJ\n0QhqFTpfA67BnvjUCkBSILxxMBs/2kmVylWcVp3z33CvlTmu+N/4PcLBgwfx8XWl/4gmiKKIWqPi\nmbHtkewy6z8/yI4FJ/ly+FoeG92MYW+0pku3jk7T6miPLTgaIrm5OPod5JrATYuHu+eDCf4O06tX\nL6x2hR4vLWPboUus3HKWni+vABFef64zKpXInDlznKpx2rRpCGoV6gA3DO0iEb30yEUWEECt1jhV\n2/2EKIq4aDWk5BbT4r1NzN6QyOnzWdzIMXIu30iAQctHDSJQbDbWr1/vNJ1nzpyhqLAIt3Bvao1p\nRfiAOAqvFaBIConbLmIptjD+o/FO0/dveGAU/EM6d+6Mv78/H3/8MeCwDF944QVat25Njx49HEvU\nTsRms93RDoRWqxWdXlvmgqpSi+j0Go6uu4A13cirk7vw2OimdHuyLjablRkzZtwxfb9n9tdfg0pE\naBmO2DYSsW5lxL61QAGTxbkFcu43cnNzmTRpEh5eXmw/dJkn317DmBk7SM0s4ptpg7l0NYugQC+u\nXbvqVJ2LlizGpX4Qbo/Goq3hj+vD1dG3cGRDGHQVt/DMvYYoigwfPow+03dhMts5n2fkYHohdo0K\nSSWSWmRmQEQl/HVaUlNTnaZz69at6PxdqfpUQ9xCvfCtG0TsKy1QZAXJImOz2u8K1wHc3i6J8+bN\no0WLFrRs2ZLjx8tmhyxfvpxWrVrRpk0bevfujclUPnNxuRkF33//PVOmTCn9/+bNmzGbzezevZv+\n/fszefLk8tr1X5KRkcHDPbuhd3VBb9BhcDVQq05Nzpw5U+77bt68OdkZRg7s+K2nxNolx5BlBXcv\nHS9+0ok6zRyTqCw5llwXLplX7rr+jNzcHLDLCNE+pdsElQjRPhi0998Eb7fb+frrr+ncuTM9e/bk\np59+wm63//0b/59kZGTQsEFdzhxdy/uvdaT3w/UoKjHj7+dKqybRzFm4m+feWIK7ux6TybkljjNy\ns9BWq1Rmm6ZqJQS1SHFxiZNUOZ/4+Hj27NmDJEl3bJ+Tp04no8jGjRIL055rxaEv+zG2fz1UKhG9\nq5YRB5LIMVvp1q3bHdP0RwRBwD3Kp8xNkluIJ5LFTmT7KESViEqlcpq+f8PtWinIy8vjiy++YNeu\nXSxatIgXX3yxzPO9e/dmz5497Nq1i7i4OBYuLJ9iZeUWaPjHssi7d++me/fuAPTo0YNZs2aV167/\nFFmWad22FSmpV6nVJpS+rzcjYddV9q06R70GdZg0YQqvvPJKuez78uXLTJ4yCUmyMWboUkIifbFa\n7GSmFaKgYDJa2bzsFB37xyFLMoum76NKlM9vqYF3Go3K8cgqgZDfiheRVkSnjhUngvxOkJ2dTZ26\ncRTk5wMKehcN+/Zsx2qTWbV6DR07lp+bZ9q0qXRtH8OXExzR162axrB933kuX88jLasYBQU3Tx2J\nSWk0aebcCpOSxYblbCYudSqXbrMmZiJoVLhrdf/jnfcmS5YsYdTwIVjtMm5qFSZJon6TZqz44Ydy\n7/+g1+sxGAy80S+WwR0dNUWe61Wb1Fwjn/1wnBuShKJSExsb+zefVH7UqVOH7HdTkSx2VC6Oy1DW\n4et4hHgR2S6Sa/uv3TVuytsVaHj48GFatWqFWq0mPDycoqIibDYbGo3D/fbrv+CoJVO7du3bst8/\ncsdiCnJycvDyclxgPD0977j7YOfOnaRlpCLZZR5/uyXzxm0nYctlej1ejw6PxDLurbFs3779tu/3\n6tWrNG3eGLMmkfGzH6X/8CZkpBUwYEQTFm0dhVolIssKX727ld41P2NAg6/YvuYsCGAscdJSvSSB\n1Y685SJKcg5KjhFp92XIKGbChAnO0eQkRo16FovZiFYt0rVdTbYue46NC5+hbq0g+vbp9V/dRG8n\n8YcP0KuLI79fURT6j/yGF19/lIsp33E2+WvGvT0ArVaDSiUSFFyl3HT8E7R6F6wJ6RT9eBrL2UyK\n1yZi2n0F2SIxZMgQp2q70xiNRp4eOpg2AZ6c69OIxD6NmNeqOscPHyQmMozExMRy12Aw6KkT5Vdm\nW+0IX1x1Gno2qIJNlhzt0Z3Ejp07UBk0HBm3mWtrE7kw9yiJXx0kuGEQ2eezUf5qfb0CcrtWCnJz\nc/H29i79v5eXF7m5uWVe891331G7dm0OHjxIz549y+V47lhKoo+PD/n5+YDDyvn9wf+e999/v/Tv\ntm3b0rZt29uy/23btqHSgE7UcGZvCioZPl05EPFmYY/QKB/GvvkaRw7f3ipfn06bQrd+sbzwzkMA\nNG4dhSgKpF3NpzDPhF1W8AvzovZDkVw5mcGNiznU7lWDAwtPoBGdFaAlgIsaXLXI2y85WqzeLHfs\nzNa8v7Jz50527txZZlt5jZvt27cRGVmZq5dTWfzFIDQax5Lmmu+eIrjBf5g48WO++27ebdnXH4mO\nqcaho1fo2KYm5y9mkJVbzOiXupdGZA8e3oEvZ6ylTsNQdDrn3Y3bbDZK8ovweLYJxSsTsJ5IA7WI\nKtgd6Xohn3/+udO0/cqdHDMvvfQSNknmk/oRuKod46VtZS86h/hwRbLT79FevP3eB+h0Orp06XLb\nm/2kpqZSp14DFm09T+vajhVbRVFY+Ms5GoR5szMxA0+dmg3r19OyZcvbuu9/ysqffiBqREMkk40r\ni08gl9hQqUUubrmI3WIjKizKKbp+z5+Nmf8PlvNZWC78dSny318jwXGd9PHxKfOaESNGMGLECKZM\nmcKkSZN45513bpu+XynXGf73hRnatGnD6tWr6dWrFxs3bvzLE/D3J+rt5HTiaYyFFvSuWo5sukir\nrtVLDQKA1g/XYPEXc9m8eTNt2rS5bZPsmbOnePSpsvnADVpEsOTrA2zbeJagar48PbsH4s168eum\n7acoq4SOLzfnyPzyv6P4Izk5OY5yW2Y7RPkiRPminLrhKHssCsiy8y34P07gH3zwQbmNG61WQ1FR\nCdHhlUoNAgBvLwPeXgbWrvmJqTWmUlRUSG5uDl26dKNbt27/76XP+Ph4XLR6Pp21FZ2LmogwXyRJ\nLvO5giCgUokkJWZQ9WXn1Sn4Nb6iaO5RXBsG49ogGHNyDoWbL4JdRpZlp6eW3ckxc/36dWRApy57\nzDqVSNVKHqw/eZmln4yj2CYz+hkT6zdvoV69ev/v/cqyzIujn2PpksVUC/Xl56RUUrNL6NwwlJW7\nL3I5rYB2NfzZfyELvVrE+w8XnDuJSlRhzioh45ckfALcaPFMY0Bg/zfxZCfn3pGYnb/jz8bMn/FP\np0RNTCU0Mb/F3RStP1/m+SZNmvDOO+9gt9tJS0vDzc2tjMvAYrHg4uICOFbbr1279g+P5N9Rbmfq\n008/zdSpU5k3bx69e/emc+fOaDQaWrduzdKlSxkzZkx57fpPMRpLCKkXhLHYSuKBFE4fuV7m+aTT\n6SAoDH/mMfwq+dDhobbUbxjH4CEDHX3ib4FNmzaRcu06+7ZeKLN9//YkvHwM5OWUUK9b1VKDAKB+\ntxhSTqQTXMsfQbjzE+mFCxdAIyJ0qYrYKhyhfhDCE3UhoxgkyekFT+40QUEhXL2awfHTKaSk/eby\nOpaQQlGRhdhqlXn/vbfJTd1LqE86b455npEjh/+rfVgsljKT4Dtvv0WfPj0xGLJp3jyWj6Zt4JnX\nFlFSYuG7rzeXGtsrl+0h/UYedpvo1OJAWq0WBAFDXCCVhjbAEBeIzyOxePWsjqBTOd0guNNUrVoV\nF5XAxFPXkG/+VufyjWy8nktuiYUhccEs71mTDX1q8VGzYIY+8di/qmwnyzKbN29m3Lg3+eqrr0pd\nsfPmzSN+10Yuzh3A3qkPs3ViL3adus6HCw+ReCUHk8VGkaRQO9wHo01i0KBB5XL8/4QeXbqTvOAY\nphvF9JzYhcqxAVSO9afnxM7INomaNWs6Tdu/RZGVW3r8ES8vL5577jnatGnDwIED+fzzzzl58iRT\np04FYMqUKbRr1462bduyYcMGXn21fErhl9tKwZ/lTX/55Zfltbu/JcAvkPiEwzQdWp/jK08TvzOZ\nbybsoMMjsVw5n8WM/2zh7Rk9CY+pxKgec4luINKkbTOO7btCq9YtOLD/ENHR0X/5+cnJySxatBCT\n2USf3n05fuI4H4x/m4cH12Ll7MNIkkyzdtHs25bEhhUnALDbJTIvl42tyLycj7u/Kxf3pdC0adNy\n/U7+jKysLJAUlCB3uF4AWhVUcnW4D5KcFPjoRGrXjuPc+TMoskLdTpN5fkhLjCYb3yzZj9Vup7DI\nyNzPh9C3e30ARg1pTa22Ezhy5AgNGzYs81mSJHHixAn0ej01atQgJSWFUc89zdZftqPRaBg48Ame\nffY5vvl2DmdPz8HX19EQ6+uv1/PamFk0a16Djz9cztRJq1CrVeTmFCJJCvv3HXFqpHZ6ejqCixpd\nrD/W9CKwy2iCPNDX9Cd/04W//4B7jHPnzqEAyy5lsu5aDqHuOi4UmqgT6s3Bizl8OLAxNklGoxIZ\nEFuZcbv2kpKS8l8NrRRFYefOnaxdsxp3Dw+GDBlGREQETz4xgITjB+jbLoq9J35mwscfsmPXXlYs\nmc+YPjXxdHXcTU5eeYwX+9bn45EtEASBM5ezafPCChRJwa4ITh0zp86cwivQHcUuoygKBWmFuAe4\nodGpcQ90p0mTJk7T9m+5nR1Ahw0bxrBhw8psq1OnDgDvvPNOubgL/ojzHcR3iLi4ONZsWU384pM0\nGlALm8XO2kXHWbvgGIIo8MonXWjRsSoz3t3Co4MaMuLVtgDUql8Fi9nOtOlTmTRxCgkJCfj5+TF/\nwTyWr1iKWq2mccNmrNu4hhY9onHRq+jWcw4Wo5WJy/oRWdOfNj1q8NN3R/jo1TWYjFbiOkXS5dlG\nrPl0P4dXJ+IX4klsu3Cun8li3bT9hNYN5tiy8+zd9d0d/552794NKDD/GIq3AUxW0GnAaEPrcv+V\nNu7V6xEWLVpI3UbhVA72ZurXOwiq4oOXjzvZ2YWcPJPCo13rlr7e1eBC1/Y12b9/P9WqVWPdunWY\nzWYCAgJ4/vlRuLpqKS42EhBQmYKCAgY80ZR5ixdRXGxizCvfM3LkcB7u1qTUIADIyMyjY5f6zF38\nCrIss2n9ET6dtAqTycJjAwZTvbpzu1ZOnjwZxWYn/6ezIAgIahFBFNDV8od7rATsP6Fu3brs3r6V\nAFcN1wosFEoSeo2K+Cs5IAj0XnUcSZL5sHUMj1YPxGKXcHV1paSkhIULF3Ly+BFi4+qSnHSe9atX\nMKxjFNlpVpo2/oKXXx1LwvEDHJ77JLqbUfuT5h3g1ZdGIwgC9pudduySzIZDV3j1sUbsPZVK4xqB\nxEb40b5+KLtPpiAJKqcZBYqi8Mu2X9B5uWDMMTG3/1JcXB2rTQ2frENBWiFt2rRxirZb4V5rC37f\nGAXNmzfH/J6FId8+QqVIhy+tUf84ZvdbhihAncYOKz0lOYcBI5qVeW9cwyrMHr+dkNBgQiL9uHLx\nBjUaBvPC9JZYTFY+GLacMV8/TPWGQQB0eDyWlzsuxMvPAIBvgBsj3mpLUkI6168XENs6jB3zT1A5\n2gdFltn05SHWf3YAV1c91WNq0qFxB56fN9oprXCzsrIcE3vPmggBbiiKgrL/KpzJwMPTuWlvzqB+\n/frIskzq1VzOnU7jYMJkKgc7xs/745axeO5OTp9Lo06sI/pfURTiT1wmqpaV6OhIGjeMQa/TsH7T\nIZYueYdevVogyzIjRkxl34FM3njLUaDFYHBhxsxniAwZitWaX0bDjp0n0LuqiY16Fo1GzWNPtuY/\nHzzO8EGfMXz4v3NVlAcHDh1EUIl4to7Au0cNEKD4UAqZ84+h19x/6Yjh4eGoRAEZAS9XFzq0jKJh\nbBUWrD7K2gm9iKjsyYmkTLq/vopFp1Jp1LAhKpWKZo3rE+Yu8VBNX9Z9v5WD529wadFgvN0d32Gn\n+sEMmjKV0f1qlxoEAIMersWHj8xEVGm4mOhCm9pBmK12XDRqhk7YjK+HjmuZRSx4uwuFJRbqxATi\n4huNr69zzue0tDQku0RJlhH/aB8emdgJg5ee66fSWfX6z8iyTKtWrZyi7VaoiE2N/j/cN84+d3d3\n9B66UoMAwM3XgF+EN4IoMmfidmxWiapxgezdUjaGYOemRK5du8aMtU/w+rSOaHUqxs3qTlSsPz7+\nbujdtKUGAYBPgCtRcf5sW3W2dJvVYuf8yRvIdpmfvz6KvpIrOZlGLh1PR7LJ7Nm5l/ycIo4cOsqk\niZOdYhAAHD16FKp4IgQ4+q8LgoDQKARsCq2cFKnsTEJDQ/H29iI7q4h+j7coNQgAXnjtYYwmK48M\nncXmHWc5cz6N0eOWcf5iOt9+M5svpw1n3Y/jGDa4HfXqRdOrVwvAUXWua9dGVKpUtoeEu7seV1cd\n+YVFvPHmN6Sn53L8eBInTlxEZ9Dy48a3WLDiVY4cTmLi+JV4enrflgC1/y/Xr6UAAt7dqyOIgqMw\nTdNQ1D56Oj70kLPl3XFCQkJQq0SySiyYzFb2HLnKxDm7+GB4MyIqO1aATl/KxiorHM0o5FD8YYYO\nGUyMp8TDdfyxSzLtavrxUP2QUoMAoGODEAqLijidXNaNd/5qDtWiAzl74CMKzXYiBy+k0egfeLFf\nPS4sG87Bbway9P2H6f/eBnafvE6h7MX38xff0e/kj0iygkqjov3LzTF4ObIvqtQOJLZrDCHBIXdV\nHMrtiimoKNw3KwVhYWHYSuyYCszoPR0nmt0qUZRZQqVwL3ZtOs/+Xy7i4a0nL7sEi9lO03bRxO+9\nxM4NiXTsU4sqET4c2X2ZKlE+aLSOpTcPbz2mEiuFuSY8fByDW5YVslKLWDH7EBqtCi9fAz9+G49v\nmBdFOSZGfNML9U1Lv3J1P3bMOlphfGjZ2dmg+cOAlR0VFvv27escUU5mxoyvGDp0MBnpZe/gLydn\noBJF0rOKePGdlciKTJeO9akc6E1uXi59e7cofa3qD5Nc69a1GTJ0IucSU6heIwSAH1bsxT/Qne59\n6zJ31iamf/Yj3j6uaF3UzPr+OdQ309u+WfACNcNHsXbthnI+8n9Gdk4OqHA0zPo9gkBcXJxTNDmT\nLl26oHN1QyouIsBTR3axFbVKxMPgcL/tPZXKm7P2sOGN9jSM8iPhWh4dPtyCXVFQu2nx8dSzYstZ\ndBoRRVFKM06uZhTholWx+cBFJs3bz+DucSRezmbQu+uoVaMKE6evRxQFRvepy6zVp3h7cNPS97ap\nF0KtCF+OJmWzZ/8hp3Y5nT9/PqJaRNCq0OjLpl1rXbVERgY4SdkD4D5aKfD29uapkSNZ+tJGrh5N\n43pCBqvf/oXgGpUIrROIooDNLiFqBPo+1YjKkV7s+DkR/yoeBIZ4ort5QsfUCuDSmUyybxQBYHB3\noXH7KKY8u4HkhExSk/OY+cZW1Do1Kr2aNUtP8Nlbm7l0NouiXBO1OkWVGgQAsR0isZRYK0z1royc\nLMgoQrniCIBU7DLKnsugEmjevLmT1VcGM9IAAB6LSURBVDmHJ554ApVKzY5fEli3Oh5Zltm17TT9\nu0+hR69mvPJaH4qMFjw9XXl/XH9SUrMpLi6hpMRRerhdmziSLl5n7VpHsRhZlpnzzQaqhPvSoc0b\nPN5vAj26vsvY174hM72Qr6ZsJTTcH08vPWHh/lSrUaXUIADw8DRQyd+bKlWcW7DoV2yKI3Mi/5ek\n0qXU4uNp2HOMjBs3zpnSnIJarWbewiVYbXauZ5dgNtuwWGxMXhyP1SYxfflRxvSoScObxYVqhXjh\n6ablm/d6smxKP2a+052jy54mr9hK//GbOXMlh10nUxnwyRZef/lRDu+ZwhcrjxHdayYDxv2ETi3S\nuaYvbqZCSorN1K8WgCBQmvnwK3ZJYfToF53e9vz06dPoov1Ar+bg/OOld83F2SWcWnuO+vXqO1Xf\nv+VeWykQlArkEBEEoVz9M7Is07ZtG04lnUDnrsUnyJ1LR9OQrDKiSkCWFOw2CVEl8NQbbWnaLoqD\nO5KZ/+keXPQaZqweREiUL0u+2s/Krw/z8KA62OwyPy87RXj9INIv5FCUXeLIJ1c5OiEKokCPDzpQ\nuaY/O786RO7lXIbN/q0S1bWT6eyamkDyhUvldtz/BkGjgvZRcPBmDqxVAr0a8sxYrdYyebMVhfIe\nN+AoftW1a2e8vd2wWGzICkz59GmGDnOkAhYWGqkRMxyLxUKVkEpkZxfS+aF6TPxwCAjw/vilLP9h\nLz4+7igoePnpmTr3McxmGyN7fUt+ngmdToNGo2bn4U8IrOyFzWZnSP/P2bcnkb1HJxMa5shxPnr4\nIkMf+5KrV69XiN9DUIloa1ZCzjU5emZoVcglNqR8E8VFxbi6ujpb4n9R3mNGURSC/X0dxWgEAbUo\noHPR4KJRYbVJfDq4IY+3jAQgI99EzdfWkrNnbJnaKZ2fXcTBkylIskxYSCWaNquJi1oEQWTL1uPk\n5RUiSTJXlg7D082RcbDzxHWenradWhF+RAZ7MeHZlqhVImv3JvP01N1cTUl1tLl2IkuXLuXJZ4ai\n0qjw8HfDWmDGJ8yLG6cz8In1p0uth5j77Vynavwz/mzMCIKAz+Sut/R5uWM3Vch4hPvGfQAOX+5X\nX82kRZvm9P+sPXNGrKFulxg6jGyA1WRj7eR9XDl5A8kuM2fCDr6fupuAEA9cvV0IjvFl9CML8PI1\nkJtRjFeQOz98HU9Mi1Bqd6tKSkImMgqyrCCIIsGxAZiLLTTsH0dofUe8QdvRTZjTdylbZhygfq8a\n5KUWsu3zo3zy3kQnfzO/IapEZC8dDKwLeSbQquHQNcQiW4W4ADmLDh06MHfufEaOHM6rr/bl44+X\n8MTAdqXPe3gY6NuvFQvm/8L1lGxCwytx/PQlomKfRhDA3UPPa+914dOPNtJncCPcPfW89+IqThy+\nhgD4V/KiavUgmrSsSmBlR/VIjUbN2HceZVC/K3Rp8x79H2+B2Wxn9cpDzJnzXYX4PRRFQURAyjXh\nM7YN9usFICkIrhpyJ+5yaqVFZyIIAlt27KZJgzrY7AqSLCMrYFCLlJhsfLEpkUcbh6HTqtBpVFjt\nEjn5Rir5/GZAZWYX8eHDsSw7co1r+SWcO3yWfg2DOXYll+ysfPq3jiTPaC81CADa1Akmt9DM+Gda\n8vLnOwju9TUuWjU6Ny/Wrt/odIMAwC7ZUawSqFWEdonBPcQLU3YJ1Z5twsmZB6lSuWKsgP1TKvJd\n/61w37gPfiUuLo733nmfrwb+iIurll5vtMTd14BvFU8e+7iDI7BOEHC56evKSClEEUUSD1yn68h6\nFOQ5lgMzr+aj0qhIOpDC8XXnKcgowmq04xXkQYdnG1Mp1JOcK/lI9t/KXWlc1DR6ojbH1pxn8fOb\nSVyazueTvmD4MOdHkIOjvbNsl2DPFTDawFsP2SWQnMuICqLRmQwcOJAOHToxa9Y69AYXLpwvWwDr\nYlIadrvExPFDuXo5k0r+nhxPms7l7G/4z/j+THp3A7IdVs49wvef7cZT70XylQVk5//I+x8O5mh8\nMkWFZftdmM02FAX0Oh0b1pymcqXGHDp0hN69e9/JQ/9L1q5diywoKCY7xesSET11oBYpmHsUL2+v\nu6bTXXlQq1YtVq3diCiAogioBYWruUZMNomcAjPVX1rFoBm7afjGOtxd1AwY+wOXU/PILzTz9oxt\n2M02nmkVzTOtovDSCmwf244XOlZn7sjmvNMrjotphZy5koP8u4vSlfRCTBY742btQVS7IGr1fDbz\ne5KSr9KsWbP/ofbOIMsyL7/6CoosYSs0kzAnnoJLuei89Vz88TTZJ28wcuRIZ8v8VzxwH5Qjd2IZ\n+FdeeuklftqxjFHfP1q6TVEUJnVfjCTJWIw2FLuMWquiSf9YDv94FptFcizvCQACVVuGknw4lUZ9\nY9G6aTm+OpFRi/uiulneNP7HM+xfcoqnlg1AEAQku8zKFzbxyrDXy60j4/+Ht99+m0++nApRvnA2\nExDAoAGTFR83L3Ky/rputzO5k+PGbrcTEOBHcXEJ4RGBzPn2FaqEVOLbORtZtGArPt5uHDv4OQaf\nPsSfmUpg0G89Pp7sPZ1BA7sSFRVEu7avcOHSPAIDf8tm6NX9XfbvP8OaLW8TVyeM3Jwi+veYQmiV\nWN54402aN29eYWJPfqVPnz6sS9yLW784jOsTHZ0R9RrkAgtagwuWQqOzJf4pd3LMNG/enPPH4zFa\n7SAIqAQQRJGaAR5E+hhIyTdxOr0QGbADNrtMr7pVmPpobYI89byx+iSVfAyM7f5bV8OUnBJajN9M\n1WAvgvzdeaVfPXILzbzxzT6KTHYaNO9I37596d69e4VYHfiVvLw8KgUFoApyQ2O20+DlFiStPosp\nqxif6pVI3XeV2dNmMXToUGdL/S/+yn3gOf7WqokWvLPlgfugIvHuu+8ye84scq4X4FvFkSaUdOg6\nolrEWGjmmS8fJijah+3zT7B72WkUWcEzwI3iXBMqtYh/tA/ndl8hMNKHi3uvkpNaSJP+tUoNAoDY\nDlFsmXGQxc+upUrtQNKOZBEbE8fo0aOdddj/k4SEBLArCM3DoEkIWCUUFzV8fwSLyexseRUCtVrN\n8eOnCAsL49rVDPr3+QibzU7NmuHYbHY++M9AZFlBsst4epf1pfv6uVNUZKRBg6ooioKnZ9nn/fw8\n6PlIEx7t8gk6nZaC/BJ69uzFkiXLKuwdd2FhIYrJhspLh/uTjvRIucRK7ofbsNlsTlZXMfjpp58I\nCXK0S1Yh4OWiJs9i4/SNAk7dKMAuK9QL8OBYegGeeg0qRCb1iiPI05HNpFGJHEzOKvOZJ6/lEebv\nzpr/dOKZL/fQ8fXVuBu0FBqt1K5dl4ULF5bWya9IeHh4gAj2HKPDH1+tEk3faguALMmk7Lj0X02A\nKjoV+a7/Vrjv3Ae/4uvry5TJU5kx8EdWT9jNyvd3sOztbXhWcqVqo2BiGgbh6qWjx0tNCa7qS8v+\nsRRlldB2cB0eHdcKtSjgF+LJc98/wkuL+hDbOpzrpzLK7CP9QjY6Ny1FKUY6hHVj7lfz2bRuU4Xw\nBf+eGzdu8Mknn3Ah+SJY7Cjx1x3pZS5qOHwdZIUXX3zR2TIrDKGhoezcuROLxUZRkeNO2GqxsGT+\nGHr1aMq8BVvx8XFj9uebSt9z9UoWmzcep1u3Jmi1GuLiIvls+qrS55MvprFu7UFEUcBmlejfbxCX\nL19j+fKVFdYgACgqLsJ+LZ/Cxcex5xqRTTaKfzyNoFahF++/Cph/hr+/P3369kUUBQQU8i127JKC\nxS5js8v46jWczSpCJQp4aNW0jvKj8cRf+GjjGd5dl8DcA5c4lJzDf344wbm0AlbFX+Op7w7SqGol\nPltzmg1HUtDqXMgvkRj1/Mvs3newQhoEAElJSSgWCbnYgt1i5/DkXWQcS8VutHJm3lEUWaF79+7O\nlvmveOA+KEfu5JLer8THx/PY4wO4fOkKolpAVIt89Msg9L8L3ln49jaunc3ioWcaEdfBETEsywqz\nn/qJtoPrUqtdBOYSKx93WUj9R2pQr0c1cq4VsGHSXurG1mfNT2ucVj3s7zh16hQt27bGFuKO2VWE\nc1lQbLlZm0BwPGwSFy5cICYmxtly/xRnjBtw+EejIiO4kZ6GWqXC29sNvd4FlUpk4keDeXL4NKqE\n+VE5yJtD+y4wecozPPfcIxiNZpo1G01KSiaVK/tQubIP+/edRa93oUmTZsycOfuuaDy1ZcsWOnfv\nirZmAIJKwJKQDrKCoFahSBLduzzMunXrnC3zT3HGmJk5cyYzP59O8uXLCIqMokCdSu6czi5hTItI\n5p+8TpiXnjPZxXjptQR662kS7cfjTSPYdCqVzzefQ1ZApRIoNNlw0aiIjIph2udf4u/vT0RExG1v\nw3y7GfvmG8xZ+Q0FV/MQRRU+Vf0w5Rgx55sQRAHJZke2Or8T65/xV+4D9/dvrUBX0ftbK6T74L43\nCn4lKSmJd959m3Ub1tB3XCsadnNcAAuzjUzsuwKbxc64jU+i+52x8MvseERRoOMzDZHsMh+0n4en\npxc6vY6goCDefH0cvXr1csrx/FNad2jHHtsViL1ZMESS4YfT4KoBVy14uMDJdA7t2U/jxo2dqvWv\ncOa4+ZWdO3fy6CM9MJnM1KwZyvkLqahEEQUFq8WGRqvB3d1A4yY12LcvAVEQMBotdOvWnZ49e9Gx\nY0cCAu6eoi12u53AkCCkvtFoYxz59vbUQnKn7XGksFolGtSqy5EjR5ys9M9x5pjJyMhg0OP92LP3\nACoBVFodstWEQaPCbJexSo6LolatQhRxrDAIAooCOoMrLno99erW4z/vf0TdunX/Zm8Vi+FPDWfh\nj0tRjDYemtED9yqeKIrCmYXHSd5wDllWsBsrptvpr4wCt/c63NLnFX+wzenz1p9x38YU/JGYmBiW\nL11BfHw8XR7uzNld19F7qjm57RLtBtXm1PbLXDp6g5ptwgFHUGLSoeu0eqI2kl3il9lHiYiIIOHE\nGdTqu+drjT90GPr+rqGOSoQIb8g1OYyCk+kgyXfd5HOnadu2LXn5RSQnJ5OUlER2djbvv/8fMjMz\nQRABgcLCEg4fSqZH99489thjPPTQQxXaNfC/OHfuHDZRRnfTIABQB3ugDnTHnuEo7HU/NtD6JwQE\nBLBl+25yc3ORZRk/Pz+eGj6cJYsWYLFL6DQqLDYJUQQVIlbZMT+98toYhgwZ4mz5/y+SLyVjLzQT\n3DQM95uxXIIgUL1/HOd/OI1adffMnb9SkV0Bt8Ld9wuUM40aNSLp3EWWL1/O/AXzEGQV2ZdKKMo0\ns+K97XR6rjF+IZ4cWnWWrCv5rPpkN6s+3k39+vXZtmX9XWUQAFQODuJyrhGCf+vKR2Yx5Jshz+jI\ntJAUp1dBu1uIiooiKioKgCeffNLJasoPHx8fLIVGXKwSws2S34qsIOWbEH0NyNkl6D3cnKyyYvP7\ngLpvv/+eT6dP58CBA0RHR1NQUEBGRgYNGjS4q1aQ/o4D+w+CAtYSS5ntdpMdQRTwD/B3krJb54FR\ncB/g4+PDqFGjGDVqFOfOnSM+Pp7ot6NJS0vjg/HvcaLgChGhUXQa+Qgx0TF07dr1rvAB/xkfvfs+\nT7/0PMbGMnjqHDEFuSao6Q+iAMfSnC3xARWQoKAgYmNjObPoOG59aiGoRYo3nkNw1SLnOIzJmjHO\nbel8t+Hp6UmXLl2cLaNcUatVBLaKJHX3VVL2XKFKyzDsRhvHZjo6bY4dM9bZEv8195pR8CCm4AH8\n+OOPvDv+A86ePsPNSisO14HJBjaZ6Kgoki4kOVvmX/Jg3Nx5ZFkmKCyEHJ0F+9U8kBRQiyAoDneJ\nXSIouAopl65UyI53D8bMnUeWZfyD/LG42Pi/9u49OKoyzeP493TnTiAXbnI1O+ESnSUoSYYRcocF\naxc0Kwqs4RZQqbJKqTiFgFtYWgMjOwWIA7OuVsm0QJHB0pTOSmK45QLrjhoIwTLucpmkATGASYAm\nIUl3n3f/aOihJXGnQ7rPAZ5PVaqS7j59nn7r111Pzjn9vtcutmKxWFBuhe7WsYRYcHW4qD9VT0JC\ngtGldqm7awoiVmT16Pna/63SlBmUIwWCWbNmceDAAerO14PFAucdntMH4VbQFXPnzDW6RGEyx44d\no6n1EjGF2YDnvyW9qZVLW/4MVgta/ngcuxs4cuQIqampxhYrTGHv3r24whXXLrYxbkkaCdNG03L8\nBzod7Vz9zsG3f/qWXbt2sWLFCqNL9cvddqTAfC28MERRURFEhWH555+jLU5DWzgBFk4ADcr27DG6\nPGEymqahu93e3y1WC9aB0VjCrFj+cSyWPuFg0XBff4wQJ06cIDoxDovVQni/CO/kRfeljiByQB/P\n5Ut3YF7utnkKpCkQgGeCFeyXUM1tngvHosOg5nsIsZCRnm50ecJkkpOTCdUttP+XHaUUSinaP7ej\nNA0GRKEf/4E+ljA5SiC80tLS+OHoOUL7hXOi+Bv06+vC6E43J/70Lc6mNvLy8gyuUsg1BQLwTOL0\ni0cmeq4pGNIXWp2eSYxcbnSnbro5928muQk+pRQ/G5NIw5nTnuW2NQ3V6fJ8pdVqYXC/eEr/czcP\nP/yw0aV2STITfNeuXWP4343A0XkVvd1NSHgI/R8cRFPdBZztLrQ+4fxy3AQOHqg05edNd9cUhBb2\n7J8m55uHTJlBOVIgAMj+hymeowNKwZnLcOkaON0MGnyfKd+gwlgVFRWc/uF74l6fSljaMJTLDboO\n7U6iCOE7+xnTNgTCGC+9/CtcAyzobS6SX/glHW2dfP8/F3EN7EPUskn0WTaJY8frOHTokNGl+uXG\nkTJ/f8xKmgKBruu0XXGgzU6GhSmQNhweGQkJcVw412h0ecKEPv74Y0JHD8ASYiX6nx6g/6+nEf+b\nRwGNNmfHHTspkwgMXdf5w9Y/EDvuPqwRoQyZMBxNafQtTCd6YQrWvhFoFg3LyFjq6uqMLtcvvXlN\ngc1mY/LkyaSnp1NTU+NzX3t7O/n5+WRmZjJv3jw6Ojq6fI7bJU2B8NA0cCsskaFYfjECy0NDQXF9\nmWghfA0ZMgTnySafDzdXQwtaVKhnqmwhbqLrOs6OTiyhVtztTrBohMVF4LZf8j5GuXTcf2m+444w\n9VZT0NLSwubNm6msrGTHjh23LEJns9l48MEHqaqqYuzYsdhstoC8HmkKhOd75FYNdbAe5fRc/atO\nX4Izl023oqMwh8LCQvSrHVx59ws6687T/t+ncbx/BNXhktNN4hYhISH8fPw4XI5ONKuF2t//maQ5\nybR/cIyOQw10Hv0effvXZD6STlpamtHl+qW3moIvv/ySjIwMQkJCSEhIwOFw+Cw/XlVV5V1BcubM\nmVRWVgbk9cg8BQKACckPceTYUdTWalRYCHS6QFfsP7Df6NKECYWHhzMlK4f9Bw5w9bsrngsNnW7Q\nNN7+3e+NLk+Y0IdFH/D3D42DUGj84gznDjV45rcoP0V0dF82/XYDCxYsuOOayt76emFzczNxcXHe\nv2NjY2lubvZOc93U1OS9PyYmhubm5l7Z749JUyAAqP6qmhkzZlDyWQl0ONGUhQ927SIjI8Po0oRJ\n7du7j2XLlvG7LZtB8yzeY7PZ7uo1H0TPjRkzBvupBvKeyKP6q69QusJisbDu12+wfPlyo8vruf/4\nokebRUf7rg0SHx/PpUt/PZ1y+fJln/Ux4uPjaWlpYeTIkbfc15uCfvogMjKSnJwccnJy2Lp1a7B3\n75eKigqjS/AKdC2aprF7926UW6GcOrrLxZNPPmlILXcyM41NoGux2+1YrVZ+VfgSDafqcblc3TYE\nZhoXszHT2AS6Fl3XGZuUxKBhQ3koLYXij4p/siEw09h0paffPFBK4XA4fJ5r4sSJHDp0CJfLxenT\np4mOjvY5fZuVlUVJSQkAJSUlZGdnB+Q1Bb0pGD58OOXl5ZSXl7N48eJg794vZgqk1HJnMNPYBLKW\n1atXkzDqZ2za+u9s2LyJhDGJP3ku2EzjYjZmGptA1lJaWkpi0mi2H91L46T+HI138PSShezatcuQ\neswmNjaW559/nqysLPLz83nrrbeora1l/fr1ACxatIivv/6azMxMvvnmGxYtWhSQOoJ++qCxsZHs\n7Gz69+/Pxo0buf/++4NdghDiNpw5c4Y1635D2L+Mxzo8BuXWcZb+L9W1R1i1ahVvvPGG0SUKk/nj\nrj+ycMliOuPD0CZd/8yPj6It1Mq/vraaOXPmGFugSRQUFFBQUOBz2/jx4wGIiIhg586dAa8h6EcK\n7HY7FRUVLF26lCVLlgR790KI27RlyxYsifFYh8cAoFkthOYmgq5Y99t1BlcnzOilFcvRh0TBYN/z\n6AyI4i8nTxlTlOiSodMcjx49mhMn/rok76hRozh1SgIi/BMSEoLL5TK6DHEHkcwIfyUmJnLy5Emj\nywi4oJ4+aG1tJSIiAqvVyrFjxxg4cKDP/ffCgAshhBBmFdSmoK6ujqVLl9K3b180TeOdd94J5u6F\nEEII8RNMtUqiEEIIIYwj0xwLIYQQAjBRU2D0pEbTp09n0KBBrF27FvBMSvHCCy+QmZnJzJkzaWlp\nMayWiooKhgwZ4h2fI0eOBK2Wmpoa0tPTycrKYsqUKdTX1wMYNjY3k8x0X4tkpntG5kYy0zWzZ+ae\nokxi1KhRhu7/7NmzymazqTVr1iillCotLVXPPPOMUkqpbdu2qZUrVxpWS3l5ubeWYGtsbFRXr15V\nSilVUlKi5s+frz777DO1ZMkSpVTwx+Zmkpnua5HMdM/I3Ehmumb2zNxLTHOk4MakRrNmzcJutwd9\n/8OGDfP5O1grUv0ttQCUlZWRmZnJiy++SHt7e9BqGTx4MH369AEgLCyMkJAQKisrmTlzJhD8sbmZ\nZKb7WkAy0x0jcyOZ6ZrZM3MvMU1TYLZJjZqamoiNjQU8K1IZeegqNTWVkydPUlVVRb9+/bzTXgZT\na2srq1evZvny5aYZG8lM9yQz3TNTbsw0LpIZASZqCm6s+DRt2jRD/uv7sZtXrLp8+bLPkpbBFh0d\nTVhYGAD5+flUV1cHdf9Op5O5c+eycuVKHnjgAdOMjWSme5KZ7pkpN2YaF8mMAJM0Ba2trbjdboAu\nJzUKFnXTtzODtSLV31LLlStXvL/v37+fpKSkoNWh6zrz5s0jLy+Pxx57DDB+bEAy8//VIpnpmhly\nI5m5lZkzc68J+oJIXTHDpEbPPfccn3/+OR0dHRw+fJiPPvqITz/9lMzMTGJiYti2bZshtVRXVzNt\n2jS2bt1KVFQUAwcODOoV08XFxZSUlHDhwgV27NhBcnIymzZtMmxsbpDMdF+LZKZ7RudGMtM1M2fm\nXiOTFwkhhBACMMnpAyGEEEIYT5oCIYQQQgDSFAghhBDiOmkKhBBCCAFIUyCEEEKI66QpEEIIIQQg\nTUFANDQ0EBcX511tbOrUqX5tX1tby8GDB7u8z+FwMHv2bABsNpt3hTN/lJWVsXHjRr+3E4EjmRH+\nksyIQJCmIEBSU1MpLy+nvLycffv2+bVtTU0NVVVVXd737rvv8vTTTwOgaVqPaps+fTqffPIJLper\nR9uLwJDMCH9JZkRvk6YgiIqKisjOzmbSpEk8++yzgGfFtszMTHJzc8nNzcXhcLBx40bee+89cnJy\nOHfunM9zFBcXM336dJ/bnE4nixYt4v3338dut5OSksK8efNITk5m27ZtFBQUkJKSwrp167zbpKSk\nyKpjdwDJjPCXZEbcFuNWbb571dfXq7i4OJWdna2ys7NVfn6+Ukp51wtXSqk5c+aoqqoqVVxcrF55\n5RWf7W02m1q7dm2Xzz127Fifx7388ssqLy9PlZaWevc9bNgw1dHRoRobG1VkZKQ6f/68crlcKjEx\n0bvt22+/rd58881ee83i9khmhL8kMyIQTLH2wd0oJSWFvXv3+txWVVXF+vXrcbvd2O12Hn/8cWbN\nmkVtbS3z589nxIgRvP766yilfBYq6Y5SiqKiImbMmMGjjz7qvT0pKYmwsDAGDx7M0KFDGTRoEACR\nkZEopXp8OFAElmRG+EsyI3qbnD4IolWrVrFz504qKiqYOHEiuq7jdrt57bXX2L59OxcvXqSsrIzw\n8PBuz8P179+fa9euAZ5zfUuXLiUyMpI1a9Z4H3Pzm/HHb8wbHwLHjx9n3Lhxvf0SRS+TzAh/SWbE\n7ZCmIEAOHz7svSo4NzeX1tZWFixYwNSpU3nqqafQdR1N06ioqCAjI4OcnBzOnj1LRkYGkydPZs+e\nPcyePZvz58/7PO8TTzxBaWmp929N09iwYQNtbW28+uqrt7w5u3vjVldXk5WVFaBXL3pCMiP8JZkR\nvU1WSbzDOBwOCgoK+PDDD3v8HGVlZdTV1VFYWNiLlQmzkswIf0lm7l3SFAghhBACkNMHQgghhLhO\nmgIhhBBCANIUCCGEEOI6aQqEEEIIAUhTIIQQQojrpCkQQgghBAD/BzBO4h7Mb7DbAAAAAElFTkSu\nQmCC\n", "text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "# Make the figure for the 5km window separately because it won't go in the tutorial\n", "maxz = max(p[2] for euler in [euler_s5] for e in euler for p in e.estimate_)\n", "fig = mpl.figure(figsize=(12, 3.5))\n", "for i, e in enumerate(euler_s5):\n", " xc, yc, zc = e.estimate_.T\n", " xc, yc, zc = xc[zc > 0], yc[zc > 0], zc[zc > 0]\n", " ax = mpl.subplot(1, 3, i + 1)\n", " mpl.axis('scaled')\n", " mpl.title('SI={0} | Window={1:.0f} km'.format(e.euler.model['structural_index'], e.size[0]*0.001))\n", " plot = mpl.scatter(yc, xc, s=30, c=zc*0.001, cmap=mpl.cm.RdYlGn_r, vmin=0, vmax=maxz*0.001)\n", " mpl.set_area(area)\n", " mpl.m2km()\n", " mpl.xlabel('East (km)')\n", " mpl.ylabel('North (km)')\n", "fig.colorbar(plot, cax=mpl.axes([0.91, 0.09, 0.03, 0.85]), orientation='vertical').set_label('Depth (km)')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAwkAAAD5CAYAAABs4XkIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xd0FFX/x/H3bEuvpAcICTVAGr2HJkWqNJGOoAKKFREV\nBBTxUYpdhEdpIhaKKB1EQov0jnSSkBDS+ybZOr8/8hiNgD+D2Ww23Nc5c052dnf2cxe+u3tn5t6R\nZFmWEQRBEARBEARB+B+FtQMIgiAIgiAIglC1iE6CIAiCIAiCIAhliE6CIAiCIAiCIAhliE6CIAiC\nIAiCIAhliE6CIAiCIAiCIAhliE6CIAiCIAiCIAhliE7CfVi7di1RUVFERUURGhrKyy+/DEB8fDy1\natUq17Zee+01QkJCUCgU3Lhx456PW7lyJXPnzr1j/c8//0yrVq1Kb1++fBmFQsGuXbtK1w0dOpSl\nS5eyefNmZs6cWa58AOPGjePLL78s9/PuR3x8PBqNpvT9jYqKIjc3966PVSgUmM3mSskl2LaKqtnE\nxES6d+9Oo0aNCA8PZ+LEiej1+rs+VtTsnUTNCv9ERX7H9ujRg8jISCIjI+nevTtxcXF3fZyo1zuJ\nehVU1g5ga5KTk5k2bRqnT5/Gx8cHWZY5f/78fW+vX79+TJkyhY4dO/7t4yRJuuv6du3aceHCBbRa\nLU5OTuzbt4+WLVuyf/9+evToAcCBAweYN28eDRs2pF+/fuXOKEnSPV/fEnx9fTl16lSlvZ5QvVVk\nzarVat555x1atmyJLMuMHDmSDz/8sPRHzJ+JmhWE8qvo79gNGzbg4uICwEcffcT06dNZt27dHY8T\n9SoIdxJHEsopNTUVOzs73NzcgJLiDgsLu+/ttW3blpo1a9738x0dHYmMjOTgwYNAyYfVa6+9xv79\n+wG4dOkSAA0bNmTlypWMHj0aKNlr0rdvX4YOHUrTpk3p3LkzmZmZAOTk5DBw4EAaN25M7969SU9P\n5/dr7qWkpNCvXz8iIiKIiopi8+bNAHz66aelP5Q2b96MQqEgLS0NgOjoaI4dO3bfbfz/GAwGxo4d\ny3PPPYcsy3Tu3Jnp06fToUMHgoKC+Pbbb5k/fz7NmzcnLCyMK1euWCyLUPVUZM36+fnRsmXL0u00\nb96cmzdvlmsbomZFzQr3VtHfsb93EAByc3Px9vYu1/NFvT7Y9eosKUs7cZZcPD09rd3UuxJHEsop\nMjKSpk2bEhQUROfOnencuTNjxozB0dHxjscOGDDgrj8gAgMD2bJlS4Vlio6OZt++ffTs2ZPjx4+z\nfPlyZs+eTXFxMfv37yc6Ovquzzty5Ahnz57F39+fJ554giVLljBz5kzefPNNgoKC2LRpEzdv3qRp\n06YMGjQIgKlTp9K+fXs2b97MjRs3aNu2LWfOnKFr166MGjUKgF9++YW2bduyZ88eBg4cyKVLl2jR\nogVpaWn07NnzrlkGDBjAnDlzAEhPT6dZs2YolUrGjBnD1KlT79n2goICHn30UaKjo5kxYwZQ8qWS\nmZnJwYMHOXHiBJ06dWLJkiWcOHGCBQsW8O6771baoV3B+ixVs0VFRaxYsYLFixeXO5OoWVGzwt1Z\nol4fffRRDhw4gKurKwcOHCh3JlGvD269ajHzNQ0s/jojs6tmx0p0EspJkiQ2b97M2bNniYmJYdWq\nVSxZsoTjx4/f8dgff/yxUjJFR0fz1ltvkZCQgL+/P2q1mtatW3P48GEOHDhwzw+wzp074+/vD5Qc\n0fj9wzMmJqa0wGvXrk337t1Ln/PLL7+wdOlSAEJCQmjXrh1HjhxhwIABpKSkkJ2dzcGDB3n77bdZ\nt24d3t7etG7dGkmS8PHx+X8PcQYEBJCUlISXlxepqan069cPHx8fHn300bs+vmvXrkyaNImJEyeW\nWT9kyBCg5AunqKiIoUOHAtCsWTO2bdv2txmE6sUSNWsymRgxYgQPPfRQ6SkH5SFqVtSscHeWqNfv\nvvsOgEWLFjF69Gh27NhRrkyiXh/selVUxjk3VXToh+gk3Kfw8HDCw8OZPHkyPj4+XLhwAXd39zKP\n6d+/P4mJiXc8NyAggK1bt1ZYlnbt2nHq1Cl27NhBp06dAOjYsSMxMTEcOHCgtPf/V/b29qV/KxQK\njEbjXR/3+2HQu93+89/R0dGsX78eBwcHunbtyvTp0/Hx8aFbt24ApKWl0aNHj7uee9m/f3/mzp2L\nRqPBy8sLKDlvcsSIERw6dOieH2CdO3dm27ZtjB07FrVaXbrezs4OAKVSecfte7VTqN4qqmZlWWb8\n+PG4ubnx/vvv31cWUbOiZoW/Z4nv2AkTJpTuTS8PUa8Pdr2qKuOX8t3nv7A60Ukop+TkZBITE2nd\nujVQcj6iXq8nMDAQrVZb5rE//fRTubb91w+Kf8rFxYWmTZuyaNEiPv/8c6DkA2zu3LkUFhbSpEmT\ncm2vS5curFq1iqioKG7evMnevXtLB2N1796dL774gldeeYW4uDgOHz7MsmXLSp/39ttvM3bsWFQq\nFQEBAaxdu7b0ffDx8eH06dN/+9rp6em4u7ujVqvRarVs3ry59BDr3bz33nvMmjWLwYMHs379ejQa\nDXD/76VQ/VR0zU6ZMoXCwkK+//77+84kalbUrHB3FVmv+fn55OXlERgYCMC6detKxxSVh6jXB7te\nK+VIQhX1ADf9/hiNRmbNmkWjRo2Iiopi7NixfPXVV6WDoco7Q8H06dOpVasWt27domPHjrRv3/6+\nckVHR5OQkEDbtm0BCAoKQqfTlZk16c8zKPx1NoU/337jjTeIj4+ncePGTJo0qcw2PvroIw4dOkRE\nRASDBg3iiy++wMfHByjZ45CYmEjXrl2BksOUhYWF5Rp0dvDgQaKiooiMjKR169a0b9+e8ePH3/Wx\nv+d9++23iYqKYuDAgeh0ujL33e3vypxFQrC+iqzZQ4cOsXTpUi5fvkzz5s2JioripZdeuq9comZF\nzQp3qsh6zc3NZdCgQYSHhxMZGcm2bdtYtWrVfeUS9frg1qtCsvxSVUnyg9QdtGGrVq0iPj6e2bNn\nWzuKIAj/gKhZQbAdol6Fu5EkiR+dLD9weYD2SpU8OmORIwmnTp2iQ4cOREdH061bN+Li4oiJicHf\n358uXbrQpUsXTp48aYmXFgThPoiaFQTbIepVECqPQmH5paqyyJiEgIAAdu7ciZOTE9u3b2f27NlM\nmDCBvn378t///tcSL/lAqG6H8ISqQ9SsZYiaFSxB1KtliHoV7qZSBi5XURZpuq+vb+nfGo2mdET8\nzp076dSpE5GRkbz33ntlRv4Lf2/s2LHWjiBUY6JmK56oWcFSRL1WPFGvwr1U5T39lmbRMQlarZaH\nHnqI5cuXU7NmTTQaDRqNhpkzZ2Jvb8/MmTPLPH7cuHHUqVOn9PbvF1IRhAdBTEwMMTExpbfj4+NZ\nuXJlpWYQNSsI/4yoV0GwHfdbr5Iksdvb8mMSHkovOybh1KlTTJ06FaVSiUql4osvviA4OLj0/vff\nf790VquEhAQGDRrEwoULKzyXxToJBoOBQYMG8cQTT9C/f/8y9128eJFXX32VTZs2lQ0jDvUJQhmV\nOZBJ1Kwg/DuiXgXBdvyTepUkiT2+lu8kdEst20lITU3F2dm59JTCb775htWrV9/1uX369GH27Nm0\natWqwnNZ5CCK2Wxm1KhRDBw4sPTDKy8vr/T+PXv20KhRo7s+V5Zlm15mz55t9QyiDdWjDZVJ1Kz1\nczyo+f/cBpWdGnUdd3CzR/FMW5TPtkP5bDsUfRqBnZLz589bPeu9lsok6tX6OUQbStqgUCmo9VA9\n+mwaVbpEPNcWZU03PP7Tq3Rxf6cnTl5uXLt2zerZZbl89fr7tK6WXP7K19cXJycnoOwphX+VlpZG\nXFycRToIYKExCRs3bmTbtm2kpaWxZs0awsLCCA0NZfny5Tg6OuLt7c3y5cst8dKCINwHUbNCVfDx\nBx8x+ekpEOaL9OfJw+u4g85EZmam9cJVIaJehari888+Z/LUyQT3bYRLkDtmk5lb++ORtAZkWf7j\nB7DehLFIj5ubm3UD3wdrDlzWarXMmjXrnvX87bff3vNq2RXBIk0fMmQIQ4YMuWP95MmTLfFygiD8\nS6Jmhapg0qRJTH12Ksak3LI/MJLzkexUFttbZmtEvQpVxRNPPMHFixf58OWPcPR1RpddREhQMJ4B\n7iTvuo4qug6ywYR5+3V6P9wbLy8va0cuN0sMXD5ZXMip4sK/fYzBYGD48OHMmDHjnkcG165dy9df\nf13xAf/nAZ7YyTKqwyAw0QbhQWLr/1dsPT+UbYO2QIuTuyvGrZdRRPgj5xUjH0xg+nMvitl6hGr3\n/91W/bkNixcv5q233uLYsWP4+fnRqFEjUlJSmDj5SXa8vR2VSsWIUSP5+P0PrRf4X7BEJ6GFoyMt\nHB1Lb6/IK3uU9G6nFP7VlStXkCSJunXrVnzA/6lSV1yWJKnc54oJQnVlC/VgCxkF25Ofn8/suXP4\ndsP3uLu68+as2Xfdc16V2EIt2EJGoXoxmUxIkoSiis0j+k9rQZIkDoc0tHieNjcul8mzfv16xo8f\nT4sWLQAICwtjwoQJ7N69m2nTpgEwe/ZsfHx8ePrppy2WS3QSBKGKsoV6sIWMglAZbKEWbCGjIFSG\n8nQSjtazfCeh1bXLVbI2xelGgiAIgiAIgnAX4orLgiAIgiAIgiCUoXiALy8iOgmCIAiCIAiCcBdV\nbDhFpRKdBEEQBEEQBEG4C9FJEARBEARBEAShjAe5k/AAN12o7nJzc3H39ECyVyNplEiSRPfu3a0d\nSxCEeygqKsLXt+Rqy5JCokGDBhiNRmvHEgThHi5evIivry9qtZomTZqQlJRk7UgVTqGQLL5UVaKT\nIFRLBoMBL39f8j0UqPs1QtkxGDRK9uzdQ8+ePa0dTxCEvzCZTDi6OZORm4lzkAc1Wtbk+s0b2DmK\nC6gJQlW0ZMkSwqLCSMtIQ2Wv4PKVSwTXDWLSlKcwmUzWjldhFGqFxZeqquomE4R/Yf369ZicVagG\nNsZ0MxvTrwkldygkdu3Zbd1wgiDcYeDAgShUCgJ6NsA3ug723k40mNQKlLBw4UJrxxME4S+eef4Z\nFEoJtUZJn6db8O6BcbyxeQTb9/3A/Hfetna8CvP7kU1LLlWVuJiaUC0999xzfHr0B8xpBcgJOaBW\ngsFc0i02mcnPzcfZ2dnaMf+WLdSDLWQUbIODsyPF2iIkBxWYZSSlAtlkRuWswV3hTFpamrUj/i1b\nqAVbyCjYBp1Oh6OLA0ggISEpFCDLdB8fSVT3uqx4Nobbt1KtHfOeynMxtWvtm1o8T71D56tkbYoj\nCUK1FB0djelyekkHwUkDPRvAqEhoHgiSxKZNm6wdURCEP/Hz8QOVAszg1LY29qHeqGo4YsjXiXEJ\nglDFmEwmzCYZhaTA1c8FrxAP1A5q9qw6w+WjSeTnFVg7YoV5kI8kiE6CUC31798fZaGx5CoonUPA\n3wUc1BAZALXc+Oyzz6wdURCEP/nu22+R1Aocw30pPHUbPB1R1fdCkhRotVprxxME4U8cHR1RaZTY\nudih8XTEu3Vt3OvVQFIq2PLpUXo93MvaESuMpJQsvlRVYgpUoVpSqVQs/fRzJj71BLj/ZeCjpyM+\nvj7WCSYIwl1FRUUhG80Unk/FY3o0Sg8HAOwiA8hdchij0YhKJb6yBKGqkM3g0dCb1jOikSSJhoOb\ncnTRAW7FJvDh4o+sHa/CKFUP7v508YkrVFsajabkj+/OloxHQIZBTeBKBlPemWLVbIIglKVWqwFQ\n+DiDQkLWGZHsVKiDPVA72nPjxg0aNGhg5ZSCIPxOZa+iVnQwkvTHnvDaXUJIPZFMYGCgFZNVrKq8\np9/SRCdBqJY2bdrEmMfHoWofhMLPBdOFVExXMmDDBXr06sVDDz1k7YiCIPzJDz/8AGYzpBWQu2A/\nssmMfata2Heri8JoxsdHHP0ThKrExdGVnPhsvJr4knQoHlOxCV1eMR3adrB2tAolPcBXU3twWy5U\na6MfH4e6ez2UzQMxXM3AlFUIDiqQwdXJucyeD0EQrG/Q0EEolEoaTmpNk2fbEvZyR9SZWnI+OMSI\nkaNwd3e3dkRBEP7n4sWLZGdlcXndOXY99QNSXCYuuVritl4iomm4teNVKGuMSTh16hQdOnQgOjqa\nbt26ERcXd9dss2fPpn79+pZru5gCVaiOFHYqVEObYvjmTMng5d/3BBjMaDQadMXF1g34D9hCPdhC\nRqHqy8zMxMvbC3t/Z4pTtKBRgFlGoVZg1pswFOqr/HgEW6gFW8go2AZ3d3dyC3JLbsggASFRfgx/\nrSOLRv/EzfhEvL29rZrx75RnCtRb/VtaPE/gT8fK5ElNTcXZ2RknJye2b9/ON998w+rVq8s8JzU1\nlRdeeIHjx49z5coVi+QSRxKEasnR0QnD2jOgVECQJ/QLhe71wFmD3miwdjxBEP5KhuKMkuskSJIC\nSanErJfBKFf5DoIgPGjy8/ORkFBp1CiUSiSVkoTfMlk0dhPB4b7s37/f2hErjDWuuOzr64uTkxNQ\nMr7y9zFbfzZv3jxeffVVi3b8xSevUC15uLiiNRSVdBKytbD5IrjZQ8cg2HkNk8mEUqm0dkxBEIAa\nNWqU/GE0IdmrcJvaBpWfC4bEXHKXHCYmJobOnTtbNaMgCH9QKpWYlTLBPevTdHQUKCQufnuGaz9d\nJOlqWrUaQ6Sw4nUMtFots2bNYvny5WXWX716Fa1WS1hYmEVfX3QShGopKe02Uk1X5PgcQAJXO8gp\ngt3XwGRGq9Xi6upq7ZiCIAA7duwo+UOjwql/KCo/FwDUtdxw7FGfDz/7WHQSBKEKMRgMqDUawsY3\nR6Es2RPeZGQUcTuuois00r59eysnrDiWuNjZobRcDqXl/e1jDAYDw4cPZ8aMGTRq1KjMfXPmzOGt\nt96q8Fx/JToJQrUlJ+aWjEcY1BSphiOyyQy7rsLNHFxcXKwdTxCE//l9UJ4kSUiOZQ+rK5w1FOYU\nWiOWIAh/Q2WvKu0gQMmPaZWjmmKtnuzs7D+OENo4S0yB2sHfnQ7+f0zGsPBCUpn7zWYzo0aNYuDA\ngfTv3/+O58fFxfH0008DcPv2bZ5//nk++OCDCs8pxiQI1VLDkPpgkqGhN1INRwAkpQLa1gZJErMb\nCUIVMm7cOFBIaAJcKN4XV9KhB2S9icI91xk1bIR1AwqCcAez3kTykcTS26mnkynKLASJajVAXlJI\nFl/+auPGjWzbto01a9bQpUsXnn32Wc6cOcPChQsBiI2NZfv27Wzfvp2AgACLdBBAzG4kVFPp6ekl\n50Q28UGKDildL+cUIa07j1lvtGK6f8YW6sEWMgq2QWOnQRPhi2w0o0vIRlXHA8O1TMzFRoyFuio/\nhsgWasEWMgq2oV+/fpxKOEZWUi6uQR5IkkT29UwMhQbatmvNwX2x1o74t8ozu1HW+E4Wz+O5Yn+V\nrE1xupFQLdWqXQvUCriWidzEF8nLqWTvZGwCXTt3sXY8QRD+xGg0YjAbMZ6+jf/z7VE4qNAl5JCX\nq6Oec0CV7yAIwoNmzJgx7Bi1nYde7oCdo4ZirY5zW0ykX83mu7XrrB2vQlliTIKtEJ0EodrJyMhA\nZzaieLghcrER+aeLyC52kFMMsszcNXOsHVEQhD/p3LkzklKBz4gI0pYfBwlMeTpQSHi2bGzteIIg\n/MVjox5D46Di15WnKMwpwmw0IykklJKKwMBAa8erUAoLjEmwFaKTIFQ7ycnJYDSDjzOcvg2OGkAG\nPydIyiM3N9faEQVB+JMjR4/g2r42bh3rYBfoij45H02gK4nv7OP8+fPWjicIwp+kpaWhUEgMXtAL\nv1BvinKKUTmo+PrJH8mIz7Z2vAonjiQIQjXSpEkTUIB57WnwdYYuIVBsgAPxICGmUhSEKsbJyRlT\nvo6E2Xsw600oXezQ385HlmU6duxo7XiCIPxJQkICBp0RBzd79n58mMz4HHwb1MCnfg0y46phJ+EB\nPpIgBi4L1ZKnjxfZxQUwKrJ0JiM5pwj1D5fQ5ubf9eqFVY0t1IMtZBSqvm+++YaRj4/BrVtdajzS\nBEmSKLqWSfLC/Vy7dJWQkJD/fyNWZgu1YAsZharPZDLh4GKPUq0krG9Dakf5c+PXRM5vv4KLoyuZ\nGZnWjvj/Ks/A5YLnu1s8j/MHP1fJ2hRHEoRq59y5c2gLCyHQpexUp272SJJEbm4uXl5e1gsoCEIZ\n2dnZyEYznv1CS2vWoV4N3JsEcvjwYZvoJAjCg0KpVFLDowZB3f3p9GRLAELa1sZQZKRv5CNWTlfx\nxOlGglCNJCYmYufjij4pC1lvQtL8b2aU5Dzc3Nzw9PS0bkBBEMr44qvlJV/ERjOo/5jJyKgzoNFo\nrJhMEIS/ys3NJacgly6tW5ZZH9KuFmeOnrFSKgtSPriXFHtwWy5UWy1btsSQno8i2BM2nkc+exv5\nSCJsu8LST5egUIj/9oJQlZhMJhzrepK54TyywYQsyxScvEVxQja9e/e2djxBEP7k4MGDODjbk3Ai\nucz6uCNJBNcOtlIqC1JIll+qKHEkQah2vL29mfPGbOa+Mw+9rwvy1SwUuTre/c97PPJI9TsUKgi2\nbszw0cz/chH6jELip21DslMhFxr4z5vzcXJysnY8QRD+pEaNGqiUSk5vuojZaKZmhB83Didy6efr\nfHN8g7XjVTgxcLmKEIOqhIp0/Phxvvv+O+zs7Bg9ajQNGza0dqRysYV6sIWMQtVnMBh4bMxIduzc\ngWOAO3nxGTw9ZQoL311QdlxRFWYLtWALGYWqT5ZlIpqHo6xlxoyZ7Js5FOcZaNW0NVt+3GrteP9I\neQYuF87uY/E8jnO3VsnaFJ0EQaiibKEebCGjYDuuXbvG1atXiYiIICAgwNpxysUWasEWMgq2ISUl\nhaemPMn2rdtRqVSMGDWSDxd/aDNH/srTSSia29fieRxmb6mStSk6CYJQRdlCPdhCRkGoDLZQC7aQ\nUbAtJpMJSZJsbqxfuToJ8/pbPI/DzJ+qZG2KMQmCIAiCIAhCuSmVyv//QTZOTIEqCIIgCIIgCEJZ\nD/DAZdFJEARBEARBEIS7kNS2dSpVRXpwWy4IgiAIgiAIf0cpWX75i1OnTtGhQweio6Pp1q0bcXFx\nZe6PjY0lLCwMBwcHkpOT73h+RbFIJ+FejZs6dSqdOnWiX79+ZGdnW+Klq70zZ86wYMECVqxYQX5+\nvrXjCNWEqFlBsB2iXgWhEikUll/+IiAggJ07d7Jv3z6mTZvG7Nmzy9zftGlTDh8+TJs2bSzbdEts\n9G6N27lzJ0VFRezfv59hw4bx3nvvWeKlbcr169cZM24UjZrUp/8jfYmNjWXfvn3s378fo9EIwLlz\n5/j444/58ssvad6qOW07teH7wyuZv2w2NXw8Udup8fb34qOPPqqSI+MF2yBqVhBsh6hXQag8klKy\n+PJXvr6+pdPJajQa1Gp1mftdXV0rZbpZi4xJ8PX1Lf1bo9GgUqnYt28f/fr1A6Bfv34sWbLEEi9t\nM86fP0+bdq3oOqoxj74ZyY0zqXTtHo1rDSfsHewwFkqEhjbh16OxNOxYm7Qb2WTEZzNuaX9869cA\n4Oi681zaG49f/RpMm/ESa75ew6yZs+jbt6/NXIBIqBpEzQqC7RD1KgiVyIqzG2m1WmbNmsXy5cut\n8voWHbj8e+O+/PJLPvjgA9zd3QFwc3O756HQOXPmlP7duXNnOnfubMmIViHLMr0efogWvYIZ+Ewr\nAIJCvZFlmYtHk5m4sAdblxwn5ttYnt/4KA4udgDs/uwosWvO8MjcrgA069+IXR8cxiPQBZVGSa5j\nBqOeHEEt3yAOHzyMs7Oz1doolF9MTAwxMTFWzSBq9p+RZZljx45x7do1IiIiaNKkSZn7U1JSmD//\nbfbt34uPtw8eHl4UFRXRrVs3nnjiCZu54JBwb6JeBcF2/Jt6tcTA5X2XUtl3Oe1vH2MwGBg+fDgz\nZsygUaNGFZ7hn7BYJ+HPjQsNDcXT05OcnBwAcnNz8fDwuOvz/vwBVl2tXbuW3IIc6kaGllkfEubL\n/vUXATCbzUT1a1jaQQBoM6wpnzy2rvR2TkoBds4aki9n8uT6x9A4qJHNMj+8uotZb8zi/cXvV06D\nhArx1y/suXPnVurri5r9Z44fP86A/g+Tm5NL87CanL+SgkqlpoaXF0OGjqBly5aMHj2S3n2a88mS\nx7l0KZEZ076kSVgQr8+cwdvz53H82AmCgoKs3RThXxD1Kgi241/Vq7LiOwnRTfyJbuJfevutn86X\nud9sNjNq1CgGDhxI//5/fzE3S55qbpExCXdrXHR0NNu2bQNg27ZtD+zeC7PZzLTpL+HorOH03vgy\n/7gn98QR1NQHACc3e7JvlR2YnJdWgEqjRKfVkx6Xzea39+MR4EJ4/0ZoHNQYdEZ+XnyImyeS+eij\nD2nXsS03btyo1PYJtknU7D+Tnp5O504dcLaXuXn4dWK+n0zy0VmENfQmvL4L/136IZOeHEvHtg3Y\ns/sk69cdYMSoLiz571T0egPLv3oena6QkJBg3N1dmPXGTEwmk7WbJdgYUa/3T6vVEhsbS3x8fOm6\n4uJifvvtN3Jzc5FlmczMTAwGg/VCClWLFWY32rhxI9u2bWPNmjV06dKFZ599ljNnzrBw4UIArl69\nykMPPcTZs2d57LHH+Pzzzy3SdIscSfi9cWlpaaxZs4bw8HA++OADtmzZQqdOnXBzc2P16tWWeOkq\nKTc3l3f+M5/tO7bg6OREYXEBBoOelLgcPn1uJxGdg7hyPJkz+xKY/vUgzCYzBdnFXDl4k1NbLhPe\nqz7Zt/L44a19KFQSC3quRqVW4lXHHUkhoc0sBOCX92ORiw28vmUEdo5q9q89R/NWzUhPyUClEpfE\nEO5N1Oy9paSkcOzYMWrXrs3j48fi7enIs493xMPNEQCNRsVrT3dj3LTv6NShCd+seAGFQkFOjpa2\n3V+jS7cImrdswPWrt5n+wnKefrE3j0/qSsrtXJ6d+AUKSWLu3Les3ErBloh6vT8fLF7MzFdfxRHQ\nmUyoNWo953KKAAAgAElEQVR8atUiNfU2NVwcuJWejVk2YzaDg70d02e8yquvzRRj/B5w1rji8pAh\nQxgyZMgd6yMiIgCoX78+u3fvtngOSa5CU+JIklTtZugxmUy0btsCj1pmeo9sSsbtfJbM2UN4dG2O\n775BQF0PtDk60pLycHa3x2yWMZtkjHoT9k5qjEYzhbk6VBolslnGu44bTm72JF/NpChPjyzJaOzU\n9JnTha1z9jJz60gcXf84RWnB0O+ZNvk1pk2bZsV3QbgftlAPtpDx33hn/tu89+5/aBtem3PXbpOb\nryXA143xQ1syfXKX0sdt/vk3Jr6ynq0bXqdl83ql6xd/vJlLCWmEhQezcsUunF3t+Hbzi0DJIeLN\nG4/z/FMrOHvmHPXr16/09gkVxxZqwRYyVpQrV67w9uzZnD5+gibh4RSbTezY9COOSgWDPdzo7OrM\n9pw8fioq4KPH21DLy4m6vs4MXbyPfm3rcORyGr9eSqN2SAPatG7D+AkTadmypbWbJVSQf1oLkiRh\n/HaMxfOohq+ukrUpdi9b2I4dOygy5vDWoiGleyN8Al2ZM3Ejs78dzKmYBK6cvE1mSj7BEX7c/C0d\ng96IrJMxGs2YTTIKpYTZZEJSKMhKyiM9PgdZBoUSFEoFJr2JXxYdQjaZsXcqO02Wm68TX3/9tegk\nCEI5/frrryz55H0urB2Lv5czRqOZR2f+yK7DcXy4/AC9OjckPDSAxOQc3li0A08PR7JzCspsIzMr\nn5MnrrJxwyEGD21HTl7JKYR5uYWMHfIxedlFdOsaRatWzZkwYSILFiwSey0F4V+Kj4+nQ6tW9DVp\neFLlwOld+9lYkEFttZpmzo484+sNwNfZOdgrlbz73WnslApSi/VMGxjGd4fjGdI+hIMXU+nbzBkM\n5+nTqxtz3nyHKU8/beXWCZXOirMbWZvoJFjY1atXaRDhU+aLv0GEP7lZRcx9dAOSQsInyA2zUcbe\nWY3aTolBb6TXyx1Ij88m/ugtsm7mMuLDXvzy+XEy43Jo1i0Eo8nMsU0X+X2zBZmFqOxUnNh2lZb9\nGgKQFp9DwplUWrWoY4WWC4JtW7/ueyb2a4y/V8ksYSqVgtkT2nPkQjI5BcV0GPIpDnZq8rU6HurY\ngKBAD56bvoLtG1+nTpAPBw79xidLt2Mym9HrjXy5bBcOjhpmzhvCZ+/voGG9IFaumIEkSWRn5xMW\nPoGHH+5L165drdxyQbBtHy5aRDdZwwiHksHbDdX26M1mthbnEO5oD/xvhrLCIl6OqMX4BiUDSLcn\nZvLShrP4ezkyf91pji4fS71aJdsY3bsprSbOYPSYMbi4uFinYYJVSGqltSNYjUUGLgt/aNGiBSf3\nJ6DXGUvXHd1zndoNvZi35THmbnqUiOgg6rYIoFaYLwOmtUNfbKRWpD9dJrXi0fd7I8vgE1KDh6d1\nQFJK9HmxHb2fbo1arcS7ljsKpUTNBjXQ2CnZvDiWL6ZuY+3re/hk/CbsHFRMemqyFd8BQbBN9g72\naIvLDirWFhsoLDby0uMd6NGuLgVaHTXcHTl25iZfbzrBzaQMGrd4Hlf/UTw8eD5+fh706haJRq3E\nZDLj5OhAh8jX2PDtYV56cVjpzgMPDxeenjKA//53qTWaKgjVyqWz52hE2aPqTdQO6GSZvXklR/tu\n6g1IwNj6fqWP6V2rBh4qJUE+LtT2dS3tIGTnFbNuzyXsJRNTnnqSmzdvVlpbhCpAIVl+qaJEJ8HC\n2rdvT4tmbXltxA9s/+YMXy2OZdFLO8jL0LFz+VlWvr6PHcvP0Dg6CBcPB3YtOYWDkz0ax5KDPEad\nEY29mm3vHMLeVYNXHXc2zNuHQWfEr34Nigr0hEfXIeNWPnXDfZEkKMwqRC42YO+kwqgzM3z4cCu/\nC4Jge0aNGsOKrRc4cj4ZgPTsQl784BeG9A4jK68YB0c7JEkiLauAvAIdRqOZts2D0WgUmExmdDo9\nt25lsm33SXR6IwoF5OQU4GinxmQwkZVVdvaytLQcMjIyrdFUQahWWnXqyFFJX2bdIV0+PkoVsQVa\nnklIYm9+Pjqzmb+eBl5sMpOcVcjVpBy0RXpyC3S0n7Ca8ycTWPRIBC63jtEiMpyrV69WYosEq1Io\nLL9UUWLgciUwGo18//33/LTlB4oKi+nSuRsNGjRg6dKlZGanE+AXSGpmCkajkVHDx3Dx8m+sWLEC\n79qepCdm8eLzL5Gccouvv/oag8FAzdqBpKdmIMsySpUSSWmmuFCHJEk8/lYXtLnF3LqWzZWTydhL\nHuzctpvg4GBrvw1COdlCPdhCxn9j3bp1PP/s06gUMtl5WgL8/UhLT8fTzYHbqTn06tKYZk0D+XjF\nfnp3D2P5h+O4HpdGs+5v8/KU7nyz8RguThpu3s4mPbMAlVJJDTdHsvKKadI4iA0b36R2bV9++eUU\n/QfMZPXqNQwePNjazRbugy3Ugi1krAgZGRm0ioykXoGeZmYlJwyFHNEV4KtSc9Ogwwg4KRTICpgU\nGsjLYbWQJFh1NYU5J+PxUCvJMsu0DvWnSX1vUq6n8/X4NqXbf2vbBW55N2P5qq+s10jhXynPwGXT\n1qcsnkfZZ2mVrE3RSagEsiwze85sPvhoIWqNEicXe1KTcqgV6kuzviHEn0rnXMwNZBM4ODow7aVp\nPNy7DytXrsTT05MRI0awdftW3nn3P6Qlp+IT6ENBXgGu3q4UZhfi6OBISmoKbgGu6LKKADCbZeq2\nqol7oAuXdiZy+uQZateubeV3QigPW6gHW8j4b+Tl5TH80aHEHtyPk6M9edpiFAqJhvUD0RbqSbqV\ngbeXF4G1anP92lXUKonsnAJ69HyI9LQ0Tp8+g2w2o1Qp0Ov1FGj1ODtqCPBxochgJi9fV/oeGo1m\nbqekifOdbZQt1IItZKwosbGxDO7fH212NnpAo1RSbDCgAtyVSuwUCm4ZDGhUChSShEqSUEoSEZ6O\n7E/JRZYhwE5DkQr+80gEo1rXKd32yZvZTNx0nfNXxHWIbFW5OgnbJ1k8j7L351WyNkUnoRLMnPUa\nK9cuZeyMDtjZq9i49DgyMnEXM5i1fSQqjZIf3juE3gzNBzdm0+sxZN3KpX63+khKicu7ruDs7Uyb\nV9oTHxNHTlw2nWd2Qe2g5pc5P5N/K4/QHvXIu51PdkI2gY286TqpJXZOGgB2fXCYVv5d+GDxB1Z+\nJ4TysIV6sIWM90uv1xMV0ZQGtdQ8MawlV+IzeOfzGPx9XHlscBumT+3FkhUxfPTFXvr0as4Xq2Mw\nm0suzFQz0B+VCvx8XTGbzbw7bwzrf4jlq7V7adwwgNNn4ynWmXB2skOplOjbM4rM7ALadBzC66/P\ntHbThftgC7VgCxkrwpkzZ+jQqhXD3JwJtbdjV24+l4t15JlM/BhZl08T09mYnoOdQoHebMbwv7dE\nAyCBXi450uCuUBLsZkeDel4sGfXH9Kcf/nKFfYXebNlh+XnqBcsoVydh9zMWz6N86JMqWZtidiML\ny8/P58OPPuTDHSPw9C2ZJSW0RQBPRi/HzcuB+LOp1GsRQET3EDa9f5gez7el23Mt2bLgEG2fbw1A\nwombtHi2NZ51axAzZw/d5/VA7VAyKOv26du4BbpSKyqAI2dPYtKbadAhqLSDAFCnhT9nd52p/MYL\ngg3buHEjrg4GNnwyDkmS6B3dkEBfV95eEsN3m44xfWovnhzTiTfe28yLU3ri5enE0ZPxvDVnJJ17\nzOTw/kW07PAC8ReX4ebmxKOjF5CbV8SwR9qQmpbHay/0pW/PSGp4lnwubNt9hsXLdolOgiD8S29M\nn86zNdwZ4VUy8LiXmwuT4m+RYTRyLK+I+fVrkm8y08bDmR/Scig0mTEhU2gwYjLLZBvNFJrNGMxm\nsrKNXD6rw3Wjmn7hgRyOy2Te9t84dOSYlVspVJoqPLDY0qruaIlqIjk5GVcPp9IOAoDaTkVwY28K\nsouxcyz5sZ94MR2PQFcAHD3sMRv+mFVFX6DHyccJANkso1T/8c8mKSTca7mRcDyJwAh/DDoj1w4n\nlslwLTaJllHiIjCCUB7nz5+nZ4e6ZaYv7tqmLjduZpWu0+uNGI0m7OxU9OsVxcXLSRw/cY1ePZqT\nl19IrZpeuLk5Icsyt1NycHN1xM3VkQKtjvTM/NIOAsDlaykEBtas9HYKQnVz6tQpOrg4ld6WJImO\nLk6YZJlisxkAH42aQrOZacF+ZBmMtK7hwsO+nhyODsMA1FIrUSkkOrg5UaQ38tn+6wxZdoh3d/xG\ngK8/UVFRVmqdUOke4IHLVTdZNVGnTh10WgOJV/+YtSQ/p5hLx2+DQkKlURC77gK7vzhF68fCkGWZ\nX9ecJbBFYOnjA5oFcHnLJQCCOgVzavUpzMaSD7pabWtTnFfMmR9+Q5tViFFn5OSPl9j63gEuxsTx\n0/z9JB7J4IXnX6zchguCjYuIiGB3bHyZQ8C7D13DyVHN8IEtKSzUM/3NDXTpGEoNTxdij16lUcOa\n1Any4ez5OBo2CCT5dhaXLichSRJdOjWlfZsGfLF6L+5uDry9eDPrfjxGTm4hGzYfY96iLUx99gUr\ntlgQqofQRo04VVhUZt1xbSFJegOdPVzI1BvZnplLtKcLerMZGfCxU3OjSIcCCNCo0EkSNe00XNDq\n+DGiHu+E+NPeyQGlWabv4MGY/9fZEB4AD3AnQYxJqATL/ruMWbNn0HtsU+wdVWz8/Dj2ahfCwyO5\neOk3JIVEakoajToGk3Y9G21WEe513Wk5uTkKtZLjy06QeCwJ/1B/7PzsiYu5gUKhwCfIh/Qb6TRo\n2IDLly+jUEuYTWYahDREoZQo0hVR078WvXv1Zty4cXh4eFj7rRDKwRbqwRYy3i+DwUCnDm3xci7m\n8cFRXLqRzttL9uLg4IDZbKaoqJg6Qd4sfGsEV66nMOedjez8aQ4tW9SjTfR06tevSYN6ASxZto2n\nJvYkKyufL1f9TIO6/sQlpKEt1OHsZIfBaMZoNCHLMOiRAXz40af4+vpau/lCOdlCLdhCxopw6NAh\n+vfswROuToQ62LMlO4+tOXn4OjnQxF5NbE4BY2vWYFSAFxPOxeHnoKHYbOa6Vscwf0/sFQq+uJmK\nwSxjkqHIZEalkOjv60GIgx0/5umI6tqNr779Tlwh3UaVa0zCAcvvZFV2XFwla1N0EirJoUOHWLHq\nS/Lz8xnQ7xGGDx/O5cuXSU5OJjw8nIyMDPbu3UtwcDCdOnXi9VmvsfqrrzAajAwdOpT58+azd+9e\nkpKS6NSpE25ubty6dYvmzZvj5uZGcnIyGRkZhIaGUlBQwMvTX+ab79YSGh2CsdhEwsnbbPlpK+3b\nt7f2WyH8Q7ZQD7aQ8d8oKChgyZIl7Nm9DQdHJx4bMYZLly4RExNDzZo1kWUTR44cxtPDk6RbSTSo\n509wkDc/bj1CaGgTUlNvo1SqqF0riEahjejV62GuX79OeloajUJDmTVzBk0bebNk8Tgc7DXMW/gT\n+w8nc+ToCfHjw8bYQi3YQsaKcuzYMRbNn8+Fs2fx8PVFm5tD3PUbyLJMkdGIk1pFscFAPWd7FjYN\nYvqFm1wrKMbNTkNGsQ4HBwd8PD0pKCyiIC+XN+r6M8ivZEdbsclMn/OJfLVZfKfaqnJ1En6dbvE8\nyrbvVcnaFJ0EKzh37hz9B/YhMysDk9GEJEm4uLiQlZmLWq1m1OiRvPj8NHx9fXFzc7vj+cXFxSQl\nJREYGIhareb48eNoNBrq1avHc88/y9fffA3AxBWP4FXHHYDL++M59sVVrl++IX582AhbqAdbyFhR\nYmNj6ftwT3q0DSLQx5XVP52hsFhPnVo++Hi5ceFKCp27dicoKIiJEyfSsGFDAFJTU9m4cSNarRad\nrpjfLpwlOzuXfftjkCSJ25c+wdnZHiiZLrlx69dZvWY9rVq1smZzhXKyhVqwhYwV7eDBgwzo2YMX\nPNxobG/Pnrx8vsrMRgE87uvJ+qw8cs1m6tSrx4RJk9Hr9Vw4c5p9e/aQnpmJ3mDEKMtc6NgUO+Uf\np4XMu5FKw6dfZPp0y/+AFCpeeToJ5sOvWDyPos27VbI2xexGlcxgMNDr4R6MfKE5vYeFYzKa+XLB\nPvb8cIHeo5vSd0IzPn1lF81brUE2SzzyyEDqhtRn/6EY6gQF4+fjz5LPP0PjqEabU4hKo8LFyxl9\nsYGCnALMsplWj4Vz+7e00g4CQIOOQexedIyEhATq1KljvTdAEGyQLMtMmTSRpbN6M6RHYwBeHt+O\nJgM/I+l2Jr9umETMkeuMm7aOGp6urPvua3LyCrC3s6OwqIh+vZpzIPYCdYN96RbdhP+8H0Oz8Dok\nJGbi5GRX+jqSJFEzsAYZGRnWaqogVCvvvPEGz7u7McC9ZIdbfXs70oxGzmqL0EgSmxrW4aHfriMl\nJvDaiy9gBtq4OyEV6nnM143NqTkAXNIWE+HqWLrdMwVF9BTfpQ8GK4wZ6NmzJ6dOneK5557j9ddf\nL3NfYmIiY8eORZZlJEniq6++IjAw8B5b+neq7miJamr//v04uSl4+NEIJElCpVby+LRoirR69m26\nhLuXI8+81x2j0chbW4Zy+voBlq35hMBe9pxNO8yHSz5g6Cc9GLumP2hkol9sxaNfPEybJ8Nx8LTD\n3kVDcOua5Kdpy/RK9YUG9MV6XF1drdh6QbBNOTk5XL8Rx6DuoaXrfGs407NdXXw9nTh6JpF+3Rrj\n7+PCmo9HEBFag8dHtEWpMPLj2hfp1b0p9UJ8+WXz6xQV62keGULbVvXRaJRs3/3H9MS/XbrFidM3\nxCkMglBBbly/TmMHuzLrGtvb46hUEKfT46RU0NHViaFe7vhr1AzwdafAaOa1ev6k6Yy4q5R093Tl\nxYs32ZeZz3VtMW9evUWCwcyAAQOs1CqhUllh4PLy5ctZsGDBXeN88sknjB8/nr179zJ27Fg+/vhj\nyzXdYlsW7spgMKCxK3sAR6GUUKoUGA0lsyU4uthhNsnYOagZPSeanLQCGnUMwqAz0HFCM2oEuZN4\nNgVXP2fqd6oDQFZCLrWa+VOcr8envicKtYJfPj+OTqunILOQ7e/E0r9/fzw9PSu7yYJg85ycnFAq\nVSSn5ZdZf+1mFjkFxfh6OWM2m8nX6nBxsmP6lO7s2HMWR0c7unRqwvGTN+jbM6r0VL+agZ5s3nGK\nzxaOY9yUZQx//BPGPLWENt3n8NFHH9/1NENBEMqvdfv27M4rKL0tyzJ78vLJN5lp4mCPWZb5rVBH\nHXsNbiolbTycyTWa8NaoCHG0w02t5GielpF+nnwQn8KYs3FsSM1h1bffkZKSwshhQ2kSUodhAwdw\n/vx5K7ZUsBiFZPnlL/7uyICXlxfZ2dkAZGVlWXSiC9FJqGTR0dEkx+dy4mAcUPKBtWnVCTR2Ktr3\naQDAz9+dJyTcB3snNQ5OGow6IwBGnQn1/66rIEkSZvMfRwq869Ug+XwataL82bXwEH1ndSY9LpuF\nPVfz8SPf0rZ+Z75Y+mUlt1YQqgeNRsPkyZMZMm0dZy6ncDs9n2kLd5GYkkvjer7Ur+PF3A9/pqa/\nO6H1/cjM1uLu6khmVgGFhToa1PPn8PFrAAwb2IafY85TP8SPV+Z8xzNPdOdWcjbrfzrO9+s2Mnr0\nGADS0tJ48803mT59OrGxsVXyfFVBqOpenzuXDToDryQmsy4rhycTkrhUrEMvm6lrr+GVhNu4qhS0\ndHFEkmV2p+fSxcuF1UmZDPf3JKFIj4dayUc300gq1pNjNPHK7Dk0btyY8EYNcTt5kPkBDtS7cpL2\nLVtw7tw5azdZqGgqpeWXcpg4cSKfffYZERERLFu2jAkTJlio4WLgcqVLT09n9JgR/PLLXlRqBXb2\nanTFBgCiOtQl7XY2mSkFvPRlP/yC3fnu3VhSU7UMm9eN0zuusn/1GUZ+1g+1nYolw76lw8QWhPao\nh9loZvX4jTi6O6DUKEg6m4psMtOmXRs2fL8RPz+/Mjn0ej1Hjx7F2dmZiIgIMZi5CrKFerCFjBXh\nyJEjPPfsZI4dP4OdRoksy6iUCjw8PMjJzcNoNBIeGsD6ZY9TWKTnkYlf8uoL/dm84zSyJPHm68Po\nPfg/9O/djBFD2/PZF7v57odfCQzwJiMjl+DgEH7Y9BPBwcEAfPPNNzwxcTwPdw8jpI43X31/mEFD\nhvPxx59Z+Z0Q7sUWasEWMlakZZ9/zhuvvYZBr8NkNmOnscPJxYXIFi24dv48CfFxNHOy5+kAb37N\n17IyJQsXtZLGzg5c0RYjAcEOdhzNL8bZyZGWbdsx8803ad68OZ3at6P2rWu8F1Gn9PU+vXab4z51\n2bk3xlpNFv6hcg1cPj+3wl8/5mgcMcfiS2+/uSTmjjyrVq0iKSnpjjEJTzzxBH369GHgwIF8++23\nHDx4kE8++aTCM4LoJFQqWZZp3jKSkEgHhk1uiTZfx/szdnD1XAqREREYDCbS0tJIS0+naetgMpPz\nyEjNpW7LmkT0DSHtejb7V55FoVRQJ6Im8WduoVAosHeyw2gwUiugFoMHDiH26CH8fP15ZvIzNG/e\n/I4Mz7/wPEuXLcHN2xF9sQl/n0B279hjsYEvwv2xhXqwhYz/1u3bt4kIb8L7r/dkWJ9wriVkMnjS\nV2TlFOPk4oa3Vw2uXLmGGTMglXYgxo/sSHJKHtt+PoPZZMZgNFGvXghKpURIcAiTJk/FycmJmjVr\nEhQUVPp6N2/eJDwslEVvDuPxkR0ByMktpGHr19m9Zz8RERFWeieEv2MLtWALGSvKzp07mfjoUL4M\nDaCRswMX8gsZc+oGgQ5OJBiN+Pr4cD0hAQdJQqlUYkbGy8EetUpFht5IVHgYXgGBRDRrRq9evYiM\njCzd9qVLl2gT3pT5YUEMrFmjdP2JrAImnEogMTMLOzu7u8USqohydRJ+e8vieRSNZ92RZ+XKldy6\ndeuOTsKwYcOYOnUqHTt2ZM+ePSxfvpyvv/7aIrlEJ6ESHTx4kLETH+XzXaNL99znZRcxsu1n9Bsa\nRezeq7z4Rm+WfbCXhOsZaDT21KsfTIP6odxKSaJOUDAvPT8NFxcXzp49S+PGjalXrx4XLlxAo9HQ\noEGDvz0icPToUZ6a/BQXLpxjyqcP07BVILIss/mTYxRdcyLml/2V9VYI/4At1IMtZPy3FixYwPkj\n37NywdDSdbEn4nl82nc8MziK9746wi/vD2bL4The/+8hJCRkSUFQ7doMHzGKKVOm4O3tXToTxd9Z\nv349o0Y9hl5vovjW56jVf4xfmvDcCkIj+/Pyyy9brK3C/bOFWrCFjBWlQ4vmDChM59HAP37Er0nK\n4MDtPHo6uzAvJYXvfUPINJuYk5nMdUMxnvYO5JhNvPLqq7w+cyYq1d0ngAwJDCQrLYUuvu582rxu\n6fp3LybxQ2Imjdu0Y8fevRZvo3D/ytVJuDTP4nkUjWaWyfPkk08SGxuLTqcjLCyM2bNns3v3bqZN\nm8bZs2eZMmUKarUao9HI0qVLady4sUVyiSlQK8HWrVv5YsV/uXUrCRSmMve5uNujVCqIalOHXT+d\nI/56Ot/vnkrPFu+Sk6nl4ceC+XT+FpwcXenXewCpqamcOXOGTp06lU5l2rRp07/98ZGfn8+4x8ew\nbdtWUEjUjfKnYauSowaSJNH7yWZM77SanJwc3N3d77kdQXhQyLLMwYMHSUxM5NdfY2las+xA4kA/\nN1IytEwZ0ow3v4zlxu1cnhscRUqmlh8PXKdJcA2cHVQsXjCfHzauo3atmtRv0IhRo8dy+fJlHBwc\n6NKlCxkZGfj5+aHRaJg/fz7vvDOP5uG1OH/pNldvpNG4YUDpa/526RYpWXuYNm2aOD1QEO7BbDZj\nMpm4eOE8YxsElLnPXa0k32Sik7MTMnDbZKS2WsN0Tz9eTE8kp7iYV938mDf3TebNnYudnR2NQ0NR\nAQbA18uL9JwcslJT6OXpyvbUXJ46do2HAzw4nlXAlltZrI0IYUjsIS5evEhoaOjdIgq2xgpToC5b\ntuyOdb8fRQ4PD+fgwYP/aDtnz55l3bp1pWNlwsLCGDp0KOHh4f/o+X/bSTAajezbt6/MxqOjo+/Z\nuxbu9O6C//DBp4tpN7oxweGuxH1ZzKLp25i2oA8AR3+5jp2DitNH4/HycWHV5wd54vmutO5Yj4Tr\nmbw7YwuPvxDN7p/OM++dOXh4ORMS6sezzz9N06ZNOX/uAkVFxfTq3YOoiBZcuHSW0IZNmPTUZGJj\nY3l99qvcuBqHo5uGRm1rcvHXpDt6z7JZRjb//3s5hapP1Oy/l52dTZ8+vcjLy6Rx4yB+/vkw+1US\nL07oiJurAwCfrv4VJJDlktnJ1u+7xkMtgoio583JS6n8cjKRgR3rYjCY8XMuZkS0M9/v2k27tp/S\nrX0jbtzMJOFWBjU83MjNL0KSSsYJ1fJ35/HhbXlh9gZGPLWUZYvHUjPAg89XxJCWnktu7mlWr17N\n2LFjrfwuCRVB1GvFiYmJ4eXnnuHEud+o6eeNzmxmRVIGXbxc0SgU6MxmliWkEaq2QyfLFJrNFMsl\nO+08FUqKZDNOkpKP8tJppLajl6srG/JycLp6jas6HSEaDbqr1/itUIu9UkEtOzVuCon/Y++8w6Mo\nuz58z2zLpjfSCRASEhJ6kw5BijQFRKSISBMrKCrViiKgiIIo0osCShXpvUmT3iGFhPTes313vj/w\njS/fK1LDGpibay6W2Z3Zc4b9ze55nnPOsz+rEIvFRohWw68Nw/DTqKiqUXL16lU5SHhUuMvC4n8L\nAwYMwMXFhS5dutC/f38AYmJi+P777ykqKmLFihW3Pcct041mzJjBhg0baNiwITVq1Cg7+YkTJ+jZ\nsydvv/32A3TlT2MesanQkpISAiv788rSp/EIcAFAX2xkSpefePKZmthsEkd3xVO/dRW0oppTRxOx\nWW2s2PY6w55dQFTdylw4nUJOdhGCCO17RzHsw7YIgsDX724jO72YEZOjEQSB9/usoUpUJRp3CiHx\nXAYOEGoAACAASURBVC7HtsQhKgU8A5xw8nDAbLTQoEMIlw4nc/VYGoMmt6NOdFWsFhvrZxzhyIar\nTJ86g9dee92+F02mjLvVg6zZB8ObI99Ar7/OvHlvIwgCOTmF1IoajNVsotdTtbkan01KRiE2i5U3\ne9fnu3WnaR7px5JxHen94Wa8HFVsPZGEwWhBb7ERs+lNXJw0VHtqJjuXDkFvsND3rZVsWTSE2uF+\nNOk5m6zcErpGR3D0bDKtm4ZhMJhYtuY4nu6OGIwWOrWuwZSxXThxLpmvll7i0OHj9r5MMv8PWa/2\nIzY2luZNGvJdryi61w7gVHI+vRccIUClJFNnopGbE38UlKC32Jjm78/moiL2FpewwKcq/koVCwqz\niTMaOWnSURk1OoWVts4uxJmMNHZ0JNZo5DO/ALokxGGw2RAFARsSJpuEUhRZ06A6Ec43BhByTBZa\nH73M2AkT+fjT8s9ll7k37irdKPHv1yt4kIhV33vg2szJycHb2/uun/tvbjlcERUVxejRo//2ue3b\nt9+hiY83iYmJuHq5lAUIAFoXDX6hnhQXG6jZKJCGT1Zj5rvbUYgiY6Z0Y8rYjXz09loqV/Hi8L6r\n1K4Xgr+fJ6dPx/PMsIYIgoCuxMTR7XF8u+dFnN0d2LT4NKH1/Xj9644A1G1t4MCvl/DwcOL5cS3Y\ns+I8Zo2CK8dSqd8hhPMHk1g0bhdu3o6Y9BaCw7z4dNmzjH1xDAMGvCD3aK+gyJp9MGz8bQPbtn9W\nNrPm7e3GiFeeZs+2w9SsGUxUVFV+WLKPzIISftx+CUetCovFRucxv5KRU8JFk5Wq3k4Eezqx6Wwq\ngb6u/Lb3Kg1rBdAgKpDhE9fx9pCW1A73Izu3hJiEbIpKjLz7cmsadJtFTEI2klXCSaviw1EdGN7v\niTLbzl5OK+uPLVOxkfX64Fgwby6Dm1SmR90babSNq3gyq3c93lp9mg8bVSWt1Eg+Nk5mF/NWSio1\nHR2wSBI/FGSRZbWQY7XgJCgIFtVUFxzYay1CABo5OnLJYKC9843v8HyrFY0g8JZ3Jb7IysRdoaDA\naqXvmWsMDfLGQRRZnpZLnwBPZs+ayUeTJskz9I8CQsVcLeC/g4AzZ86Ql5dXVhvXrl27OzrHLYOE\nTp063fRvSZLKopz//5zM31OlShUKc4opzCzBzdcZAGOpicxr+aTH5HDmUBIKpYjZZOXtzzsze/JO\nbFYbWelFZKYX4urmyOChHfhh9mZUagXFBQZ8Al3RlxgRFAJObje6J1w7n0W96L+6o2QkFuBX1Y2S\nAiMOjip8q7iz66dzWIwWLh9OwclRjZObhvFznkbrpMIv+EYdQkA1d06dOkV0dPTDv1gy942s2QeD\nk5MTeXk3L5qWlZXPhStpHDkRj5+vO6Io0DgygJxCAwlJeaSkFWA029CoFSDBosFNeHXpcZz/XNfE\nxUlNamYRAAajBRcnBwDUaiUSUCXQnVWbz2MxW7HabLRqWIWj51KY8t1uenSMopKXM8UlBj6fvZuk\npCx0Oh2Ojo4P9brIPFhkvT44crIyqeuqvmlfkIcjCALTz6dgstqo7eOCY76Iu0JBstmMSZKItRjQ\n2SQUQKbVxGRVZT6zpFFZpaKGxoHVhfnU02q5YDDQwcWVJo5OJBiN/Jyfj6egpMBmRRQEmrg7UWC1\nYjZbmBpZmaYezvy05yxWq1VOHXsUqKBBwn/o0aMHgiAQFBRUtu9Og4Tbej516lRCQ0OpU6cOdevW\nvakNmMw/4+Liwjuj3+HHUbs4sy2WC3uuseD1zYS3r07f+b0wm6xo3TSoNAp+WXKU3KxirFYbRpMF\nk8lCj17NEQSBSxeTcHHV8PXorexcdYHMlEJsFhvblp3l9L5ENI4qrv6RVva+PsFuZCQWYLVYmT9m\nF2d3JuDp5URkw0Ce7BmJq6cjhXl6/ILdygIEs8lKamKuvCLzI4Cs2ftj2PARvPvOPFJSspEkiR07\njrPql32MHvssnh7ODBoQTUGBjlKbgKe3C3XqVCO4ii9GsxWlKDKpVx3m7osju9hAQbGRVyZtxGiy\nkJRWwFcLDxIR4s0X8/ZRWGzAzcWB6KbVSc8sYsp3u3mvX0OqB3lQVGLEz8uZzJxiwqOnEf38HKq1\nnEKdCH/q1gxg165d9r5MMg8IWa/3T6eu3Vl2KgOD+UaNgSRJzN4fh8FiRaNWsPjpusQX6Ah00vB+\n/SoYbTb61w7E20OLBQmlJNBO4cZkSxpOokCi2cTvpcXEm4zEG42sKypgaV4uvVzdKLRaybFYCRLV\nKCQJQZI4XlDCq1V8mFyzMi08XdiSWUBVf385QHhUEMXy38qR/Px81q9fz7ffflu23Sm3bYHasGFD\n/vjjDxSK8i/ceBTzJSVJYvjw4axY/RO+NStRvU01Ip+qgSAKrH79NwLCPFGqRM5uiaXHJ+1Iu5TF\nuS0xiKKATS8hiKDTmVCpRSwmG9WjfIg5n45KqcRqlfCr7EZqYi6iKBJa3492/WqRn1nK6hlHqd0o\nkEun0lh78i2GdJxH7SaV8a/ixtWz6Vw8mUZoLR+GjG+DqBRY+c0RYs9lMf7dj3nrrbfsfdlkuHc9\nyJq9P2w2Gx98+D4zv/kGhULAx9ed6V8Pp33H+vzw/Wa++XI9s78fRf9+n6F1UOHu4YpSIfLjordp\n3X4cGoVA9Wo+XIxJQxREvN216M0W8vP1eLppKdGZcHJUY7bY8PZwJD27mBpBbly+ns8fc/rScMQK\nBES0WhVmi5XLO98j7noOYVW9qRzgTvNn5zDhk1l0797d3pdK5r+Q9Wo/rFYrA/v24fih/bSr7s6J\n63nYkNj2TjQbzqQyesVJ+tYLZOPFDAr0Zp6u4cPTNfx4qnoldifm8vLmc1TRaigwmcnQm/FSKnBV\nKEg3mqmh0HLJqsNXUFMkWDHbbEiAANhE8FIqcVWKxOlNdPF1w1GhYF16Pus2b+app56y96WRuQV3\nVZOQ9l252yMGvF5u2pw6dSo1a9akXr16ZelvwcHBd2bX7V5Qp04dcnNz78/CxxhBENhzcA8Wi41O\n70cT1SUcQRSQbBKlOToa9ahJ6uUcuo5rTXjLKkS/3Bitm5biPAPth9VFUEHN+v6IosiS/S8zY80L\nuHk44eCkosvzdbBZrYBAcHVvnB00LBi/hz82xKBSKchKL8bBUcXhXTGUFBk4/Xsiv8w5RnJ8HhoH\nBb4Bbkx5bSOfDt1AUFVPXny7OQcPyb2dKzqyZu8PURT55ONJuLo688lnL3Dq/Gzad6wPQP0G1fH1\n96RNmxuLH2ZnbyA25kfGjunHgJe+wkGjIjQ0kCpVKlEz1BdRFOjbrS7fjO+Kg0aF1SZhstowm608\n3TqMvh0icXZUczW5EJVSQeNXf8ZBoybI340OLUJx0Kjo/doyWjWuSuUAdzbuvkRMYh7t27e381WS\neVDIer1/FAoFy1etYeq3c/npeBLju0dx5INOeLk4MKRVdar7uNC/QRX6NwxGAkyCwI+X0oiadwBf\nJzU6sxUfRxWDQv1RigJmIMNiAQHOW3W4K5VYRBsjPLyoplajEMAmQG9vd74ICeCXiGr8FFGFLZmF\nrE3LZfL06XKA8CghiOW/lSNZWVlMmDCBYcOGMXToUIYOHXrHx952Liw6OpqqVasSEBCAIAgIgkBM\nTMx9Gfw4IUkSibGJVG9Xjc0f7aLtqOYoNUqOLTmFqBA4vu4SuUmF5CTls3P2MUrz9Rh1JiKaBFCv\nXVV+m/0HF0+molSLDO2wACdXDWqNksW7h5OTXszW1edo1j6MGrX9OLjtKv6V3UiMy8XJWU1GciFh\ndfyYMWELgiBis0k89XwdYs9ncD02F/8q7rw7vWuZrXM/3UNItVZ2vFoyDwJZs/fPtm3bUGsU7N1z\njmEjOpftX7Pqd5o1jWTmzLV07tykbFTmpcFP8fmU5QQGeDFtUn/6Dp5JZHVvXuxRn2nvPcXkOXvx\nr+TM8qnP0mnET6hUIiV6M9+tPoHNakOpEFGpRBAEPFy1RIZWYmjvhiyZ8iz1e8ymUsNJuLo4UKKz\nsHHTNrRarb0ujcwDRtbrg0EQBNLS0tAoBZ6uH4Qo/lUwrBQFLDYbsdkljGxRnc863Vh46teLaQzd\ndA4vBxVKhcjGlBz81SocRJElNavwXmwKZ0t05FsseCqVfJubhSgI6CUJtSiwt6CEE8U6cixWvgoJ\noI6TFmXNKHk2/lHDDuskPEiOHTvGxYsX7+nY2wYJ06dPJyEhAV9f33t6g8edzMxMnD2cuX4kGUmC\nVa9vBAFE8cZU14U91whpHsz189lkXMqk+cC65F4vIDuliDmjtiEqBDq+VJeD667gW8UNs8FCSKgP\nH768ljOHr9P9hfrUalwZk9HCax+2Z+zAnwmJ8CEjuYAnn4nk8K44lEol1SN9iL+chSTBjLUDmPfZ\nXlb/cIxKfq5ENgrk6K44dq+7ysnjP9v7ksncJ7Jm75+EhATatK3FmTPxPNdzMp06N+SPo1f5dd1h\n6tarzrmz15j+5SucP3+N1NQcUlKyKdUZmPLhi2g0KixWG+diMrkcn8OhU0lkZBezavpzHDh5HX8f\nZ479NAyVUiS40zf4+rhSojNRajDTvnk1Rg5sRkpmEa98tIHP3+7IqEHNmTBjB62ju7J06VI5z/kR\nQ9brg+OXH5dQyVnDD/tieTU6DEEQ2HgmhYScEi5lFLE3Lpv5vf6q+Xgm0p83NpxjUIQ/LQPcGbLz\nEv4qJe9W9kEjCpws0fNpZT8mJGXwgb8fMzOzKLTZwGbjhUoevOnvjSgIHCoqZWR8Kv5qJZ9PnCh3\nNHrUqOCFyy1atODChQvUqlXrro+97bdNnTp18PDwuCfDZKDncz0J6VCdOgPrIogC51ed48Iv51G6\nKCnN0yMAsXsTcXDTYCgycfjHc0SPaMSZTVfxDfUChci+1ZfxqeJG/NlMAkM92b/1ClXCvRGVAptW\nnOHc8WS0Tmpiz2XQ7YX67PvtMkv3jWD7mvOkJOYzZXkf1BoluhIj7zy3kt+3xNBtYH22rjzL7A93\nIooi9erVY//eg1SrVs3el0zmPpE1e//Url2bjz95H0mykZKUQ0Z6HuGRQWgc1Pj5e3LxQiK/rNrL\n+x8sQq1W0rpVLUpLDRw7Gc/RP2IwmS1MGtuDWfN3EVkziLSsy1y+ls2MH48yakATpi0+xPELaQT5\nupKQWsDscU8xZclh1n7bv+wHRrUgDwaPX8dzT9Xiqc7dWL58uZ2vikx5IOv1wZGVnc2XfeozdvVp\n5u6NRaNSkJRbSqnRwg9HE3BQq3BQ3JhVzzeYSSvUY7JYeaVWIPtSC7BKEqlGE9+lZqNCwE+lJNlo\npqOLC1EODlw3mVAJAlYBXvXzQvxTqy1cnQh1UHPBaJY7Uz2KVPAgYd26daxevfqmAabY2Ng7Ova2\nQcLly5cJCQkhIiKi7Mtr586d92jq48W1a9e4fOUyz0zsiai48SGr068ucTticXRzQKFWUq9nJDXa\nh3JkwQkKUwp58s2m/PbRHnxDPchKyEMQoOurDVn31VGGTW3HtfNZZCYWULOJP/lZJYgKkYJcHfk5\npQAYSk206RqBm6cjv2+Lof/IZqg1N/6bHZ01PP1ifQ5tj8HJTYNGo+GnZT/TtWvXW/ogU/GQNXt/\nSJLEpEkf0qVrI97/qB96vYl33prP1o0naNQ4nJ3bT9Dn+bYolQoiI6uwc+dJcnKKOXzwa9q1H0tp\nqR43V0c+m7EJk9HMvsMxFJUYGDdzN45aNZPnH6R/93oU6c3UCq2El5uWzNxS2japdtMIZLN6lYlP\nyuWHX05w4OBRO14RmfJE1uuDo+2TTzJ9+xYqOWtAEOhQy4/lhxNoXsWLP1KLsdgkfD/bilalwGqT\ncFEpEAWBDQk5zDqThIMoUMvViTMFpdR2dSSjVM+B4lJcBAVvp6bipFBgliQE4P+XmOptEhM+/AgH\nBwd7uC5TnogVe/Y2JiYG8b9SpgwGwx0fe1vP161bd1PFtTyNdufo9XpUDiqE/8qNLEotQhQEGvat\nzY7P95N7vYDMK9loPRyI3XuN3MR82o1sysZP9uLooqE4V8feFedRKEWWfXIQhUrEzduRLUvOolCI\nDHivBU+9UBuALUvP8tv8U9SsHwCAxkGJrsR0k026EhNGvYU5H+7jmxmz5QDhEUTW7P1x7tw5riXE\n8+uWb8s6ziz/ZSw1qg4hOSkLtVqFrtREs6aRzF+wGQ93J6pU9ubJjuPo8Uxz1KKV1b8eZdSI9ny/\ncA8fju7KwhW/E5eQjclsITykEqu3XQAk4q/nYJMk3nuxGQt+PYPZbEWluvGeWw/E4urswNJlK+9p\nmlimYiDr9cEgSRLxMbGogXeeDCenxMS4jedRCHA9pwSd3sjMrlFEVHLGYLEybN1ZhtUKoKGfGz3W\nn8ZbrcRFpSC+1EAdV0d8HNQ4KkXSzWYSbSbe9PPiq9QstAol/kols9NzGBVQCaUgsLugmHSlmnfe\necfel0GmPKjgNQlvvPEG33//PQAmk4k+ffrw22+/3dGxt/V83759VK1atWxbuHDh/Vn7GFGzZk0c\n1U4k7k/ArDOz+/0dbH9nC2qNgj3Tf0dQiJSkFbH9070kHUmiyXNR7JtznGtHk3F01fDM+61pPagu\n+Rml1GlbhSm7B6JQCNRpU4Uxi7rj4eNEx35RmAwWBEGgy6C6WK02zh5JYv3iE3ToVYulX/1ORnIh\nAAlXslk5+whXT2Uz/r1PGDRokJ2vkEx5IGv2/khPT6daNb+bWlK6uGhx93BmxlevYzZb6d6tGcOH\nd2XDr5+SmVVI186NGTO6F79tOsLaDccAiZk/7MRqszFz/m4ux2bQ+okQzGYr7VuEkXZ4ApnHPmDc\nq9GYLTamLv4db3ct0S8uYNmvp/n0u70MmfgbP69aL7c6fcSR9fpgOHLkCMnxV9k4vDntw33p27Ay\nG19uQZHBwvUCHRaLlbc3n+el1afpsuQYpUYLk48ksPBcCs+E+hDqqqW+lwv5Jgtni3Rk6o0Um63k\nmy1EaTVMS8vGgoDOZiPWYGB7fjGtzsfR5kIcH2Tls2n7drmhwCOKICjKfStPIiMj+fTTTzGbzTz/\n/PMMHz78jo+9bZCwd+9etm3bBsBnn32GxWK5d0sfM0RRZN2qtVxYcJ71Q9fi6qpm9MYBvLbiOYbM\newYkCYVaQa3OYZhNVv5YfZGQRgGc3xJDab6ezV8e4uCP57CarTzzVlMyEwqwmGz0fa8ZSqUSvc7M\n0KYLGdxoPhOeW0X8+UxEUSQkJIwfZx5hylsbyc/S89pTyxjUfCEfDNzAjOnfkpOdzysjXrH35ZEp\nJ2TN3h9PPPEEZ07HER+XDkB6Wh5tm79Lbk4RLw2egrOThiFDv8DD82kaNnoFdxcHXhr+NSmpOeh1\nBn5e+Bpj3uyKJEnUqRnIgGebAFA1yAO1SsGktzqgVitRKETeGtwSd1ctV5L1JKTrSM2x8sP6BDIt\n1dm154DcRvExQNbrg+HKlSs0reqJUvHXz5pa/q4AbH+uISqFwNfREZx+qTnnhrTATaPk29bh6E1W\nruTeSNfdnppHDWct4Y4aPFVKtKIACHgpleyPrM6RWmG86uuFIIpInp7UeeIJJkz/isyCQpo2bWoP\nt2UeBhW8Beobb7yBXq+nefPmDBw48K4Gnm67mJrZbKZPnz74+/uj1Wr56quv7tvgWxrziC70YjQa\ncfdyZ8SPPXEPcCnbv2naQfSFRjyDXTmx9jJeQS4ERvpwYc812r/SiCY9I7l2Mo1lo7Ywan53Lhy8\nzrndiUzZ3I+Nc09ycuc13pz5FJ5+zhzdHMtPn/+Ot1clEuKTbiwAYrMhCAIGg4HMzEwCAgJQq9X/\nYKnMv4l71YOs2ftn3ry5THx/PD2fbcr2LSfo17s5kyY8jygKfPXtJmbP20qfXi1IvJ7N3gPn6fRk\nHQ4djaFUZ8RkMt/oYIZAxrmpNO/+Je8Mb03dmgG0ff57gvzcsNkk+nStw5jhbWjwzLd8N+9n2rZt\na2+3Ze4DWa/25fTp0zzTqR0X3m2Dw58pez+fTObtNacpMlnRKAQqOarx0CgpMFpILzXiqFAwJDKA\n2eeSaejuhM5i5WqJARFwEER0NhtW4FBUKI7/FXx0vZLA219O580337SPszL3zd0spiYVrSp/e1z7\n3GRPp06dOH36NKNGjWLixIk3vXbJkiVMmjSJKlWqALB8+XICAgL+55wdOnS46d8XL14kKioKQRDY\nsWPHndl1qyBh8uTJZY+LiopYuXIlI0aMQBAEJkyYcEcnv1se5RuYt48X/ed0xDPItWzfpmkH8Qh0\npcULdTm7NYY9c47zzoZ+zHxuFY5uGnSFRvJSitC63PhhbzKYUWtUjJ7blW9HbmPsoqepXMOLaxey\nOLoplpO7rxHsW4MXXniBPn36/O2HRqbicLd6kDX7YLl69SqDB7/E5UvnyElchOLPHwmSJFE16jW6\ndqzPtetZHDsRR/en6rJx21m8vZz5ffMEJk5ex8nT1/h8XHd6DJlHxomPGDNlE5diMvliXBcUosCk\nb3djNlu5EF/A9aRUOYCv4Mh6tT8D+/Uh5vjvvNwkgLQCPVN3XGF8rSAGVvMly2DmtT/icFSKeGmU\n7EovIMrFkQyTmWyDmbZeLpwt1GG2Sbwb5MOMlCxmBAUyNDGJFi5OeKqUPO/lRoTWgYEJqby/9Ed6\n9Ohhb5dl7pG7ChJK15W/PU69brInNTWVXbt2kZKS8j9BwtKlS/92//8nMTHxls9VrVr1juy6ZeFy\nYGDgTQVUkyZNkguq7oMBAwawb852un3QEpWDktRLWZzfHodCKXJo2RlqtAymJE/HzN6/4OjugNZN\nA0BJngq1sxpjsQkXT0e8/F2YPnwjVrMNN29H9vx8gV/nnKRarUqUFhpxb2Fgw4H5fPLpR/yycjUd\nO3a0s+cyDwtZsw+W8PBw5s2bT5fO7W5amEkQBLy9XGnZLJwXnm/J7HnbibuWxbhRXfjqu+3UafUB\neQUlAPQevgB3Vy1L1x7n59/OELP7PeatPMZvuy5RrDOSnVtK23YdyMrKIigoyF6uytgBWa8PniU/\nrWTFihV8PW0yyQmJNPF2YVioPwCVnTR83ySU1jvO8oy/B1qFgtgSPWpBwCZJ1HXScrlQR0MXLVOS\nMnnZ25PZWdlU12hopXUm02phWHwKr/l6EW+VaNeunZ29lXlo2KEFamBg4D8+v2zZMrZt20Z0dDSf\nfPLJ3947PDw8cHNz+9vjCwoKcHd3v60dt003epg8yqMcOp2OF14awK6du3B0dyAvowC/6h4MmPwk\nKo2SbXOOc35vAi3712bf4jMA1OsShq7QCALkXi+gdd9abJ93EpvZRnBUJarV9GLfqsu8M78r04dt\nYsr65/ELvvGBuHAkhTnv7Wfl8lW0a9fupvZXMhWDiqCHimDj/WCz2YiMrMFHY7rS77mWAGzbeYY+\ng2bg4uyAj7cLicm5IEnYJAmzxcbgfs34afUxAOpFBpCVU8L11DyqBLjj4+WCm4uGkxdS6dIqjC6t\na7D3j0TW7I7n8JE/7nh0R+bfR0XQQkWw8UFgsVjo0K4dXtcvMbtxaNl+g9VG6IbjfBpZmRSdiV9S\ncmjg4sj+/GJUgFECBTeKNcMcNKSaLfgrlVwyGnESRQTAIsF3ixby0ksv2cc5mQfCXc0k6O+sE9B9\n2aN9+n/sudWMQUFBAW5ubkiSxODBg+nQoQMvvPDC/5yzX79++Pj40LVrV0JDQ5Ekibi4ODZv3kxW\nVhY//3z7xXNv+cuxT58+/Prrr+j1+rJ9er2edevW0bt379ueWOZmHB0dWbdqPZcvXGHJnB9Bkhgx\npxveld1w83HiuQ/aoHFUcWLDVSpVdaPdiEaYDRYMJSYKM0sozCxFX2yibvsQSgsN9PugNUc2x+Li\nqaUoz0D1Or5lAQJArWZBmG1GBo8YQMvWzSkuLraj9zIPA1mzDx5RFFm5cjVjPlpNs/Yf06jNeHoP\n/Ir2rSNIPPk5p3a/z6blb2A0WYiqEYBWo+Tn9cd5eWArREHgjZdaci0plzoR/qRmFpNXqKNeTX+6\ntqnBvE+eoceTNZk5vjMDOtegW5eOxMTE2NtlmYeErNfyQ6lUMm/hQvbnGcjU/9UGfNm1TFyVCvak\nFyAZrTiIIscKS0ECb7UKjSDQ0NERgGtGEwabhI9SRbjKgWleQcypVIVorTNfT52KzWazl3syD5ty\nKFTed+ACH3+2smy7G9zd3REEAVEU6du3LydOnPjb161cuZIXX3yR3bt3M3LkSEaNGsXevXsZNGjQ\nHQUI8A9BwsKFC4mPj6d9+/ZEREQQERFB+/btSUhIYPHixbc9cadOnfDx8SnLu9y3bx/+/v5ER0cT\nHR3NqVOn7sjAR43AwECqVq2Kp48HDk5/5SCLokClYDc6v9GE3OQibFYb3ce3JvVSFlpnDUadiX3L\nz5Eel4dXkCspV3MYvbgHhTk6HByVZCUXYrP9FYXqio2YjRbG/dgVwb2IqdOm2MNdmYfI/WhW1uut\nqV+/PvHxiUz67BuGDn8Hg9HEopkvoVTeKI5s3rg63TrWwWi2oFCI/PT9MOYtO4iTo5pNuy8R4O9O\njWqV6N6+JvVq+nPuSgYdm4fe9B7d2tTArM+nTesWpKam2sNNmYeMrNfyJSwsjHfGjePJAzG8ez6V\nZ/Zd4stLKXT1dGVOjWBGB/uyvW4oXiolGlHkP00orxoMKEWRMI2GLs4unNDr+MQrgFoaLZVVasZ4\n+JEXn8D48ePt6p/MQ0QUH/jWNroeH380sGz7O24101FYWFj2ePfu3URERNzS9IYNGzJt2jQ2bdrE\npk2bmDp1Kg0bNrxj18st3ej/F13s27eP5cuXM3/+/Fsb8xhNhQZXDaLHR02o3vBGcXF2UiGzXlzH\n2N/6M2fYBtoObUjUkyFM6/wjHV5vzJlNsfiFenJhdzz+NbxJu5JDsx7hJJ7PApsNk95KjXq+TBT2\nJAAAIABJREFUPPt6Y0wGC8um/I6TuwPDJrcj9nQG66dd5vyZS3b2XOZueJh6uBe9Pmwb/w1YLBac\nnZ1IPz8NdzfHsv3PD59H3ajKTJ21lYu/T+Ll0cv441QCFquV+rWCuBKXybIZfRkxfg19utTGoDMx\nc3yXsuM//WEfydmlaBw0eAa3ZtKkz+zhnsx9IOv130lsbCw7duzg1KlTrFyymK11QwnU/DVANyc1\nm405haQaTbiIIgZJQkSgjsaBWhotiwvy2BoQenP9SF4ahyxGLsfElHWYkalY3FW6kXlb+dujeuom\ne15++WUOHz6M0Wikdu3afPTRR+zcuZN3332X999/n127dqFUKomIiGDu3Lk3revzICm3tab/ruhi\n+/bttG7dmnr16vHFF188tsuXK5VKFs5fTN8BzxPazA+ts5ozO+LpMqoZJXl68lKL8K7mTtzRFEw6\nMxd2xeMf7sXJDVeoXMuXlEvZRLSozPUrOaTE5ODl70pBZgl/5Og4sP4KSrWC6D5R9Bp5oz97Ua7u\njgpUZB5fZL3eGUqlkt7P9mTsp+uZPaUvKpWCA0di2Ln/MhGhvghAUIAHsdcyEUWB7u1q8+u2c/Tq\nXJf+I5cT6OvGlr1XycwtQa1S0KV1DQ6cSGTOL8c58MurHD51nT1nYu3tpsy/HFmvd05YWBhhYWFI\nksSezZtI0JtuChLi9EacRQFXUaSxmxM78orxVyrIs1rZVVKEr1LJEUMpzbXOABRarZww6Gjl7saG\nDRsYOXKkvVyTeViI5fZT+ZbMmzfvf/bVrVsXuLGeymefPZyBpIdWzdqoUSPi4uI4cOAArq6uTJ8+\n/WG99b+Szp07c+n8ZZxKfLl8IJkOIxpy6WAiMwesxdXflbkvrWfl2B24+ruQdD6baxeykESB7LQi\nDDoTsSfTyU4qxmKykZmYjwQYS01UCnbHapWIahaEUiWSEpPLqunHGdD3RXu7LFOBkPV6a2Z9+z1X\nEkz4RL5DrdYf8/TA71CrlJyPycFBq6FBu0/JK9BhtlrZtOsCBqOZNZvPoFIpuXotm+SMQtQqJUs3\nnGHohxtIz9dzcNVrhFb1Yv2OqzzRrJW9XZSpYMh6vT2CIPDZVzOYkJjBsaJS8swWlqTnsK+ghFIB\nBIXI0cJSXESBIquVayYjGVYLBVYLn+alMz0/g0WFObyclUhPdzdUSqXctvhxoYIvpnY/PLTwyNnZ\nuezxgAEDbpnP9/HHH5c9btu27SO9wFBgYCD79u5n0aJFTPnic0opZcS6/mic1ZTk6PjlzU20eKUJ\nCUeSkESRJydG88tLa2g9uiXhnWoAUJRWxOqha/Gs7kl4dAin11zAbLLy3bs7MZSaUKoVCAiMnfAe\ny1YsZdWK1XKrxX8p+/btY9++ffY2A7hzvcLjpVkAT09PDhw8wvTp0/ngg/epX7cq+7ZNQq1Wodcb\nadl+IhPH9mHGrA189+3rvDR0BhfP/EBMbAonT8Ux6dOf8PB2Izkpi+y8UtKziuj9xnIuXEnH0VFD\ng+ZZ2Gw2uSPZvxxZrxWPAQMGkJKUxCsfvI9Fkmjp7cqG1jWp4aJl4JEYrpXoydCbsEngrlJQYLZi\n/fPY3w0luChEbAo4a9QTp4fFzz5rV39k7pz70atUwTsTr1mzhmnTplFQUADcCJjvtEnGbYOEq1ev\nsmDBAnJzc5EkCUEQWLRo0R2d/L/zq4qKinB1vbGQ2D8VWvz3DexxQBRFhg0bxsJlC/DvFobG+cbI\nhLO3Iw2fr0XMnmvU7RnJri8P0vz1pjh5O+Fe+a8uRq4BrvjV8qPO0xGYdWbMOjNNB9al5ZAGLB60\njgZda9Cif20kCQ4uOcszzz7NyWNyUdu/kf//hf3JJ5/c03nuVbP3old4/DT7H9599122bN7A6Dda\no1arANBqNbwz8mnW/HqU1i1rodcZ8fJyRa830i66Hu2i6zH1y1WkpeVRvXoAvyx7h6Ztx/HR+Od4\neXAHEq9nM/i1H3BwcGDc+PJZUEvmwSDrtWIydvx4tv/2KwOlfOq6O5FtNGO0SQwK8WFObDomCQrM\nFg51a8Cks4msTsxhRqMQxpxKYFitQJ70d+dIdhGfXkgnLS2NSpUq2dslmTvgfvQqSRW7k9WkSZPY\nvn07/v7+d33sbYOEvn37MmbMGCpXrgxwx4u9/HfRxYkTJ+jYsSOLFi3C0dGRSpUq3XGg8bggICDZ\nJCxGC1lxeTh6OIAEhkID+cmFOHo6Yiw2Uppdisblr1xTSZLQ5erQujlwaWsMEhDVIZSs2DysZist\nX6hT9n/WenBdZvZcS0xMDDVq1LCTpzLlzb1oVtbrveHm5k78tXTGffAjZ88nElWzMi4uWq7GplJQ\nUEr37k0xGExUreoLwOEjl9BoVFjMVno+/QQHD12mTctIRr7aFYCI8EAWzH6ZTj2nyUHCY4Ks14dP\nQOVgZu26yPVSI/6OajL1Jtr5uBFbbCDYSUOwswaNQmRXWgFBThrOFugYHu7PKxE3Go2EuTlSYpGY\nMXUKS1feWStJmYqLrYIHCTVr1sTPz++ejr1tkBAcHEy/fv3u+sR/V3Tx6quv3vV5HhcGDxzChE/H\ns734IC4+TpRklWK12lCqFaSeTSesYyib39uKa4ALR384Rsu3WqB2UnH253PocnUE1PblzFoFDi4a\nchLzcfZyROWgvOkLRxAFVGolBoPBjp7KlDf3ollZr/dGr2f78NprLzN4YHveeLUbe/af58uvf6VV\nq1qkpl3m1Tdm4+KsZcGi7WTnFDLj63VMGPMck6b8zIlT8Wiaqqgc5H3TOYODvMnOzrWTRzIPG1mv\nDx+FWo23Vs3GTrXRKhWcyyuh+47zVHPVciG/lBAXLVG/nsBVJZKmM3GpoJTBNW4eha3j4cjOWHld\nk8cBq2Sxtwn3xPDhwwHIzc2lcePG1KtXD0EQEAThb+8hf8ctW6AuX74cgK1bt+Lj41PWV1UQBPr3\n7/8g7P9fYx7D9mz/ISkpifDIGjw/szP+NSthNVvZ8vkBRAclvjV9OPDdUbSeWkpzSlGoFFj0FmwW\nG0qtEo2TGjc/F3zCvYnZHY+gEKj1VBgn11zk+c+eJKLVjRZtZ7fHcWxRLAlxiXK+cwXgbvUga/bh\nM2H8OArzL/DdNyPK9o2duAS9wcyZc9ew2iAlJQtXFyeSk7MxmkwIgoCnhws6vQFPDxfy8oqJPTMb\nLy8XAL745lcOHMlm0+byb7sn8+CQ9VpxCPTxZm3TYML+q43x2D/iKbHauFKgQ2+xkmswY7TaMFtt\nSIJAhwAPFrcKLxt4e/dEAj7d+vLFVzPs5YbMfXA3LVD1lk3lbo9W2e2Ba3Pfvn1ln9f/pDL+5+82\nbdrc0TluOZMQGxuLIAiEhYUBEBcX9wBMlrkV69evJ+rJMPxr3shvVKgUtH2tCfMHrKbt2y04vvwM\n0RPbotQo2TRqMy9uHMj28TvwbxBI9qVMMi9kkhWfi1KtwFRg4tTaS7hXdmP1h3uoVM0DySaRm1xE\nRFiEHCA8osiafficO3ealwc3vmlfx/b1+WzaKpo2icDDy+NG7cGqvTz/fDRZ2QUsWbINJ2ctLq5a\n3N1cyM4pIrLJWzz7TFMSr2dx6OhVBr042E4eyTwsZL3aD5tNQiHenNalFAUKdBYiPJ24XqwnyEXD\nxTwdIe5aKmlVHEwp4MWDV2nn786hrEJ2pxXwY6vWdvJA5mFSUdON/lOD8fnnnzNhwl/pq99+++39\nBwn/KW7asmULXbr8tejPnj177sFUmftFskoIooiLvwumUhM2qw3fKB8sBjPNRrVgzYur0Dir6fRJ\ne65suYqjuwMXN19lxNp+pF/ORhAEAmr78uMLG7h48SJRUVH2dknmASNr9uFTq1Zd9u6/yNPdnijb\nt3f/eSLCK/Pb5mPM/eEdduw4QdUqflyNSaZ2nRBMJguDh3Rm3doDNGwUTmRkFd4a1Ytdu0/RolUD\nJn06jF69JzPr29l29EymvJH1aj/69uvH51vX8n2TaqgVIjGFOlZdy0YUBF6tHcTelDx0Ziu+zhpO\nZxZTu5IzP3SpRVqxkXOZRTQP8aZeZQ+2/PYrPXr0sLc7MuVMRS9c3rlzZ1mQIEkSW7du5c0337yj\nY287pPz/+y1///3392CizO149tlniTlwnfTL2QBYzVb2zz1OjXbVObPmAkpHFR5V3UnYn4BXqCei\nQiTpaDLeYd5kX8nGwVWDQqnAZrFhNlhQaZQ4ujugcdZQtXEQVRoFotIocfN1JSsry87eypQnsmYf\nHm+OHMXq9UcZPXYRO3adZuzEJXw/bwt79p0lLDSIU6djmDd/E2qNkl27TlFYoMNmk9i75zQajYqi\nolLc3Z2pXTuEt9/qzYABTxIQ4EVJSam9XZN5SMh6ffh8NnUa1tDa1P7tDC03nyF68xmMNhsWSWLm\n2SQKjBb0FhsZpSa8HVUYrDYclUperh/M7Kdq8UajqmhVCuTMrccD20P4Ux7MmjWLsLAwjh07Vrao\nYGRkZFlq451wy5qEH3/8kWXLlnHy5MmyE1osFrRaLVu2bHkwHvx/Yx7zfMm1a9cyfMQwnLwdyUnN\nRRAFRIWIxWwlpF0IplITSUeTiHymJulnM7DZJMI7h3N83h9EPl2Tq1uv4l7ZnbAnQ7i6LYaSLB1P\nT2pHUN0bBVdZcbmsf3snacnpODk52dlbmdtxt3qQNWsfkpOT+ebrGRw/cRSbVcDV7UYgnp6eis1m\no7i4FAeNmoLCYpycHHBxcaS01EBERDD5+cUUFJRw8vgcAgO9kSSJUW99T0mJC4sWL7W3azJ3gazX\nikdcXBxpaWk0aNCAzMxMkpKS0Gq1AKxbt46VPy4jOzsLJ5WCcC9n1j3bEFeNkpQiPR3XnmPxqnVE\nR0fb2QuZe+FuahLyDavK3R4Phz7lps0VK1bcc53TLYOEwsJC8vPzmTJlChMmTECSJNRqNf7+/nfc\nBvWujZFvYBgMBs6cOUOlSpWwWG5U1Ofk5LB5y2Ykm0ReQR7pmenoinUkp6dgMOhJS0nDZrOhcdZg\nNVuxWawo1UpsVhuSDUKaVUapUpB0LJ25c+bRr+/dd6uSefjcrR5kzf67kSSJs2fPsmPHDg4ePMDR\no0cwm00YjSZEUaB58yhSUvJwcnJn69Ydcv/1Coas14qNzWZj+/bt7N27l+vXr1NaWopGo8HHx4cD\n+/eTmZyI3mgixNOF5BIjEz/4kPfGjrO32TL3yN0ECXmG8m9z6+nQt9y0mZGRwbRp07h69Srh4eGM\nGTPmjtdMuGWQADdE0759+4eWIynfwO4Nm81GRkYGCQkJFBcXc/jwYbRaLU2aNOHUqVOkpaVRtWpV\nevXqVdaLW+bfz73oQdbsv4PMzEwWLJhPXNxVAgKC6dOnD97e3sTHx+Po6IiHhwd79+7l8uXLuLm5\nUaNGDSwWC8HBwbRs2VJuLlABkfVacTEYDHR5sh3J588S7eXMwZwikvQmzFYbSqUIAigEAUFUMvSV\nV2jZshX16tWjevXq9jZd5h65myAhR7+i3O3x1vYvN222bduWl19+mSZNmnD8+HHmzp17x6tP/+M6\nCaIo0qxZM44dO8YTTzzxTy+VKUf279/PN9/OICsrk1Yt2tKpYycaNWqEi8uNlomiKBIQEEBAQABn\nz55Fr9dz4OAB9v++n4H9BzJkyBC2bt3Krl276NatmzxC+Qgja9b+xMfH06plc7o8GUHTepVZvnY1\n386agc1mQxAEbH+2oFMoFHh4uFCzZjDTv7pIVGQtiooK8fBw59VX36R///7lNqIs8+9A1uu/gwUL\nFmCMvcyuFhEo/vzx+OqZa+zMLCTQVcv6FxpT3dOJNzaeY+5333Jq61quZBbSoWMnFv+0ApVKZW8X\nZMoRCau9TbgvtFptWbpRaGgoS5feeSrrP84k/OeEVqsVhUJRtghDTEz5LCAij3L8L+vWrWPE68Po\nMqIOXgHO7F5xgWtnMzHqzSgUCiQBBMBstKBQidhsEoIoEPVUGJ5VPDiz9iKluXrCmlRDVIkk/JHM\n0sXL6Nmzp71dk7kN96oHWbP25aVBLxDiX8IHo290rJEkic79ZiFJAsmpeSSn5ePl5UqrVrVZsnQs\nAE2bvkGNsCDeHt2bjIw8xo5ZyCuvvMXIkSPt6YrMXSDrteLydMcOdM6Op5ufB5eK9ZRYrBSbrbx7\n4TqzetShV1QAO+OyGL3lIntGtMLHWYPBbOXZn8/QafCbvPfeGHu7IHOX3M1MQqau/OvDfB0HlZs2\nBw8eTEREBI0bN+bEiRPEx8czaNAgAJo3b/6Px942SHiYyDew/yUiqgbdRkcQ2SwIuNHfeXK/tbR4\nNpJNc04Q2tCPhHNZ6IqNeAa5oS8x0ej52tTpHoFkk1jYfxUd325O9ebBAGRcyWb9u3tIS0nH0dHx\nn95axs5UBD1UBBsfNjUjQlk1dwCVAz1Zv+U0pTojhUV6Yq/lsHrjcbQOGhy0GjZumkzdutXZufMk\n48bN58SJOWUzBxcvJtKp40RSUtLk1KMKQkXQQkWw0R4MH/Qi6t93cCinmDyDGTelgiSjCasAawY0\noW2IN/1/OUHLEG9eb/5XitG++Gw+PFHEsTPn7Wi9zL1wN0FCWunCcrcnwGlouWnzpZdeuuWs9OLF\ni//x2H9MN4IbRbNTpkzhypUrREREMH78eLy9ve/NUpm7JvZKPDUaRZN4IYsjG2Owmm14+btQnKej\nbd9a5GeV4unvTHGunpJcHfoiI2GtqwKQfjkbm8VGSLO/6hD8IipRqZoXhw8fpn379nbySqY8kTVr\nX0JCQlj120nmLt1Pq3qVcXXWsHbnJZQqBRaLDZ3eiNVmIy+vGIPBxNQpK6hZM/imm3hkZBXy8wvQ\n6XQ4Ozvb0RuZ8kbWq/157a23abN8BX3c3Xg9IAhREDil0/FqUgrT9sdgMFvZcy2HRsGeNx1nstrk\nVKPHAHusk9CpUydOnz7NqFGjmDhx4k3PffHFF6xbtw6lUkmDBg2YNWvWP55ryZIl92zHbYeoBg0a\nRL169Zg5cyZ169blxRdfvOc3k7l7ImuHs2bGUWa/sY2qAV5EhvuTeC6LrfNOcXpnPEa9mYBQL2w2\nG8YSE0qNksyrOaRdzGL92O0YS0xYTX/l00mSRHFuCR4eHnb0SqY8kTVrX8aOe59Z83Yxe0xH1nz5\nLIs+6saJFcOwWKwo/7zjjnyjB+PGzuOVV74GCQ7sP0dpqb7sHFu3/kFoaIjcqvgxQNar/QkNDcUo\nSQz39kL8M1hv4OhIY0dHjqcWMnjdGcZHh/P9kWvEZBcDkF1i5OO98QwcNsKepss8BGySrdy3/8+i\nRYv48ssv/9aeXr16cfToUX7//XcyMzNv2/jg+PHjtGzZkjp16mA2mxk7duwd+37bmYTS0lIGDhwI\n3BDSwoXlP+0i8xeTJ02lT9/e/LBxMKGRvgB0eq4O/Vt8R1TdAC6cTiU3owQBAd/qnjR/vhabvziA\nqFDwzPhWnNkay44Zh2n3+hOISpGjy87i5+VPgwYN7OzZ/VNSUsLChQs5cPQQdWpG8eorr+Lj42Nv\ns+yOrFn7EhoailKponf7mmX7woI9adOwCjbganIxH3/4AlabjS+nryEl+RcmTFxIi+YjGTKkMykp\n2SxatJ1fflkjFy4/Bsh6tT+iKN5oKgBYJQmzJOEgikhIWK029BYrI1tUx1mjJHru73g7qUkp1NO8\nZSuGDx9ub/NlyhmpnBY7+ycCAwNv+VxoaGjZY41Gc9vZrNGjR7N27Vr69u2LSqXi+PHjd2zHbYME\nrVbLTz/9RPPmzTl06FDZQiMyD4fw8HC8K7nj4ubA+iUnUKoUtO4cTlTDIFp0rMHhnXGIgoBXZVfq\nPRVG3Y6hmI1WNs04TGR0Nao3CWLzV4f4rucKrBYbDRo1YNvmLRX+x0dxcTENnmhEplKHuZoLOzYf\nZ9b3szl17ARVqlSxt3l2RdasfXF2dsZilVi57SKrtl/EYLTQq30EyRmFNG9QheMXMwAY805vvv5m\nHR4eLsz94W02bz7Kxk1HOHz4MmPGjKdDhw529uTBc/LkSWbM+prk1GS6derK66+9/tjPlsh6tT9O\nTk40a9yY4afPkGQyYZAkglUq0ixm2lTx5HK+jhOp+QxrUpUB9SsTn1vCkF8v8fa7Y+SaoceAvxvp\nv1+OHIzh6MHY+zrH/v37ycjIoFWrVv/4OpVKha+v7z29x20/3UuWLOHEiRO88cYbnDp16q5aJ8nc\nP/7+/uTlFDOk/XwuHk7njx0JDGj1PVfOphFUzRNvX2eatAnBaraSdS0PgFrRVUGSMJSYcHBW8+xH\n0YzfNYjAEF+mT52On5+fXX16EMxfMJ8MpQ5bjxqIfi7YGvmhq+HKx59NsrdpdkfWrH1xdXUlsmZN\nJny9k2ciKzGwcSALfv6DjJwStv0ei9lq463RPxAXl46frwcLFmxGFEW6d2/OuLH9SEvLLes88Six\na9cuoju245R4lZLGArPXz6N1uzZli0Y+rsh6/XfwRIuWGE0S09VVWOkQSifJHasEu6/nkl6sp/ey\nP1h1NoVTqQV8vi8OjacvHTt2tLfZ5YrFYuHrr7+m0RP1eaJ5I374YQ4228MfVbc3VsnywLcmLUMY\nOb5T2Xa3nDt3jvHjx/Pzz7df6C0kJIRp06ZRWFjIN998Q3h4+B2/j9zd6F9OYWEh/v4+BAR5YjKZ\nsVoltFo1WZkFfLq4NxNfWs2AN1uwaPo+VA4qGnYPJzM+l6TzWQTX9aPHxDaoHVUc+vEcGcdKuHju\n0iMx8hHdqT2Hjdcwn0kHlQgmKzgoCXbzJTEm3t7mPRAqgh4qgo0PG71eT6CfDy80D2L57wnoTRbC\nA9yISStE66BEb7ZhkwQEAfz9vMjMyqdhwxp4e7uxfftxJk+eyqhRo+ztxgOnbqN60MoZi95MSUoh\nrtU8ydmdxHefzaJXr172Nu++qQhaqAg22gtfD0+GlGrZbSskxmbAT1AhIZGisPBkDR9y9CbUSpFC\nnRmFQsTBtxoHjx6v8LPy/8SLL73AySuHiB5SC5vVxs655+nariffzJhpb9Pum7vpbhRX8HW52xPq\n/vb/2LNkyRJSU1P/p3A5Li6Ovn37sn79+jtaINdsNrNw4UIuXLhAVFQUw4cPR6m8bSIR8A9BQlhY\n2P+++E8xyD2cHx6bNm1i4It9GfdxD/oPboUkScyfvZuZ0zah15sQAIVKpF6HEC4dSkFfYiKkgT/F\neXrcA1yIO5KMxWTF29eLk8dOExQUZG+XHghVQ0O4npKEsnM4ijBvJEnCejgJh8v5lOQV2tu8B8Ld\n6kHW7L+D+Ph4mjasQ6ifM8vfaUtwJWfWHklk6KwDiIKAIAqYbf/H3lmHR3Gtf/wzsxp3F5KQQIIF\nd3coVuwChQItFaAOpVSAlkILpbgUWoq3QIsXd3cICZYQIO5um6zN/P5Ib7i59/Z3K8ACzYdnnyd7\ndnb2ew5zZuad84rAB5P+wZ59F9iz9wsOH7pKQUEx+/Zepm7ddsyYMdPS3XjoKNVK1C7WaHzssa7h\nStH1dAwZRUx45R1mznz6+1s1X59uNEolVmYYZuVCa7Utd0xlzNdlUM3TmqT8MuJm9cFGU35jJUky\nodMPs2P/UcLDwy2s/NGQkJBA3fq1adYvhIjD9wEI7xjIxR2xJMQl4ezs/D/28GTzR4yEO/lzH7me\nGo4TKul59dVXOXv2LHq9nrp16zJt2jQOHTrExIkT6d27NzExMRVxC++//z49e/b8r/s1GAxcvnyZ\nlJQUfHx8aNy4MWq1+nfr+k1TIja2sq/U9u3bmTVrFk2bNv3dO6/ir5OdnY2NrYZho9tUFNp55Y1O\nLJ27j+nzBvPZ+1tRqASyk4pw9rShWsMQLmy7zRsbB2HvblN+82yS+PaFXaSlpT0zRkJGegaCvRZF\nSHmqQEEQUDT3o/RKKunp6c+ES9UfpWrOPhn4+PigN5hY9GoLAjzKq6IPahXIzvMJZBeVcS0uDwc7\nG27fTuSll3rg5GTHoMHtAAirFcCEd9c8c0ZCamoqKASsw9zwe6kxAG49anD/61PExcdbVpyFqJqv\nTxYBfv6EpObSR+sIQHO1LeOQ2VCYi61GWWEgAIiigK+zDRkZGZaS+8i5dOkSKGUS7ubRZ0Z5uvTT\nK68gqMoNiKfdSPgjWCIF6rfffvsfbf80SH/55ZfftY+YmBgGDx5M3bp18fPzY+fOndy4cYONGzcS\nFhb2v3fA7whc3rlzJ7NmzaJRo0Zs27bt/424ruLhU7NmzYpKnJIkkZFegIODNSqVksbNgqjfuBqZ\nhYVMWNOHqb02otEqQQB79/JgQEEQUKoUuAc5Ex8fT5MmTSzco4eDq5srKWV5/9Euis/u0u/vpWrO\nWhatVouoUOLuoK3U7udqQ6CXPceiUlGVmbhy9Q4hNSsb7WmpOc9keuJbt26h0ChxavkgqYAgCDi3\nCSDuRrzlhD0BVM3XJ4P64eG4ZZ6t1OYvqskrNiCoFZy8k0nbGuXZ826nFRJxP53mzZtbQupj4ejR\no5SVGOgzvSOqXw2kPtM7sui59X+7QqzSU7r6NmnSJFasWFHpOL148SKTJ09m586dv2sfv+mcvnPn\nTlq0aMGhQ4fYsmULS5YsqTp5WYCmTZuCrGbmlK20Dv+EHq1n0DD4fQxGIzeuJZGRVkCDLkHkZZRQ\nkK3j6v5YRIVIQmR6xT5K8suIvRRPs2bNLNiTv0ZZWRnJyckVQY5vjXsDObsEc2w2UF7/wXwukdCw\nsL/lKgJUzdkniX79+jJ/162K99mFZWw8eY9Wtb1QKpXUqOlLSko2K5b/wv59F5FlmStX7jDhvW9o\n166TBZU/GkJDQ5GMEqVJ+ZXaSxPyqRNWx0KqLEvVfH2y6DWgPwf1BZj/5YbwoKEAB2s1PcO9Gbzi\nDGPWXmD8D5fp8PURRFGBvb29BRU/WuIS7uPgYVthIACoNErsXG3Izc21oLLHj0kyP/I931olAAAg\nAElEQVTXoyAzM/M/DNmmTZuSlZX1u/fxmzEJoigSGhr6HyctQRA4ePDgn5D7O8RU+Uv+V3bt2sWQ\noYOYt/4FmrQOJDuzmHeHb0BXrCcjtZBOo+oR3NCLTV+eoSS/jKaDanPhpxs07B2KxlbNpW23cHNw\nJzb66QvolWWZ6TM+Z87cr0EhoFGpWTJ/EW9PfI9sKwNyVgmCSoFsNIMMIwcOZc2q/7/M+NPCH50P\nVXP2ySE9PZ3OHdpQkJWKLAjkFunxcLLCWq3E1t2FmmGB7NlznjXr3uejD1cRE52Ml5cz1jbWzP16\n6W/6lz5tJCYmEhsbS926dQmsUZ0yox7fFxtiW9OVwsg0UjdGEXPjdqW8308rVfP16cZgMFCvZiil\niSm0V9txz6znmklH21A3nB2tmDWoPlsuJ2E0SVRztWHagWRu342ztOxHxqJFi5gw6T1Gr+6PS7Vy\nF6ychHzWjdlJTmbuU5+6+I/EJERmf/HI9YS7fvTQ52bHjh3/a6G132r/b/ymu9H9++WBKlUnFcsT\nEXGV/iOa0rRNEABuHnZ88GUvPntnO29N68rSmYc5si4Ks1mmdvtqlBXpeemb3lzacRtdShme1V0Z\n0mW4hXvx51i7di3zVi3FdlJzlK42GOLyeHncq+iNBhTNQxADnZEzi0EpIhfpibx13dKSLUbVnH1y\n8PT05PMvvuKN10bz3YddCA9x56fD0Uz59hTm9EKu30yiWjV30tPyuBLxDXq9kYirsfTvN4N27dpZ\nWv5fxmw288rrY9i6dQtewe4k3EzBKEsEvtWSjN3RpG2OwqqaI2qtGoPBYGm5FqFqvj5ZqNVqbsTe\noX27dvx49ixqQUAADsdkYq1W0DrEjTFtq3MnvZCX1kbw5oQplpb8SJBlmVOnTrFnzx7s3Gz48Y3d\n1O1ZA4CIHbfp3LHLU28g/FGeVnejiIiI/1pv59q1a797H79pJAQEBPwpUVU8fEpKSrC1rxyNbmuv\noVRnoO8LjZj78T7GLO5OXnoxO+eew2ySiDmdQGGWDmRQa1T0WtDbQur/GguXL0HVKwila/lJSR3o\nhLqdP2UH7iAl5KOo7oLgWR4caryVSY2glpaUa1Gq5uyTxfyvZ7FkYkd6tKwOwDtDm3A7IYfcwjIu\nxmSTlVXAO28vY8aMHzAZzeh0enr06PVM3DAuX76cU1eP8ea2QWisVdy7mMzGT49jV8cDuzoPivrc\nmXyQ/Pz8/2dPzy5V8/XJQ6lU0qNrV+KuXOZ1Z2eUgsC32dlkG818vCWSsesuoVUpCK1Vh3rh4ciy\n/EylQC0rK6NP3+eIS4ihRK+j/etNcKnmyK3D5V4I7V9rTM7FbAurfPw8imJqj4OIiIi/vI/flyi1\nCovy/PP9GTBoNQNHNcHZzRZZllm14CSSJJOeUoCoFAhs4IXxfDKOHrZYO2lxDXSmyxvNEJUi5zdd\nZ9iIoUTfjHnqaiTodDoEK9dKbbKm3L1IvpWJUSWiCHDCnJCPdCWFQRMHWkhpFVVUJiU1lbCAepXa\nQqu5cC8lH4MhFaVSydChHdm37yLTZ76Ir68by5buplu3zpw8eQaFQmEh5X+dDZvW0Xx4GBprFQBW\n9hpMRXqKbmRUGAnFMVnoc0po3LixJaVWUUUFhYWFfDV7Npt9ffFQlR+7rWxs6H73Hg5WKhysVXg4\nWhHuWsrQ53vSoUtP1mz48am7rv4WS5cuxSBnsOXkOMYOXUNhZjFhHYNwr16eyShiZzTIj8Z//knm\naV1JeBgPIp6NI/sZxWw2c+rUKQoKClAq1PRrvoAJo36kf8uFJCXm4uZlx/ujfsTJxYaTP0Rxfkc0\ndToFkR6bS9e3mqPSKlEoRVq+UI9Scwnnz5+3dJf+MEMGDMZ0NAHZXG7JS6VGSo+UL9NjpUS6mopx\nxy2k2GyUfo4UFxdbUG0VVTygbdt2bNh/u+K90WTmhwM3aRnuS3GJgfr1gzl5Mop1P07ihRGdaNeh\nHht/mkxZWf4j80l/XCgUCiTzg6dv1/bdxa6BN3GLznJvzknuzzvN/bmncXZy/kM5u6uo4lESFxeH\nkyhWGAgAdgoFARo1YV72dAv35uTUbiwZ1ZRbs58j8sIJdu3aZUHFD5fde3cweHRjBAFibqZxbn0k\n8VdSkWWZpKh0jn1zkT49+1pa5mPnaQ1cfhhUrSQ8ody/f5/uPbsgiXps7DWkZ2Qy4p3WePk58vwr\njQlr6M3OtVfZt/Ea737VnS/f+oWyUiNqaxUI5QXW/okgCKitVZSUlFiwR3+OyZM+4OdtW4iZfAB1\ngBP6ezkINmoQBBQtqyHWcAW9CdOBWExJ+dSvX9/SkquoAoDPPv+C5k0bERGTRou6Pmw+HE1Gbgmz\n151DFMDOzprY2BRatHyQr1oURZq3DCU6OpoePXpYUP1f46UXxzB97lT86npg42RFVmI+xbcysA52\nRpZkSu5mYRvugXWO6n/vrIoqHhOBgYHkmExkGI0VhkKR2Uy8wYAhs4jPhzascC+yUit5sYUPB/bt\npl+/fpaU/dBwcnQiO7OIhHs5SIBXLTe2fXQIfYkRO1drNLbqZ7Z43P/H07qS8DCoWkmwMJIkERkZ\nye3btyt8kfPz8+neswtN+njy+fa+fLiuB5+s7cempedo0iGIWo18EASB6xeSqF7bA6VKxGgwodIq\nuH7kPshw/cDdit9IvJZOamwGrVu3tlQ3/zRWVlbkFxRg0ysMTUMfnCe0xaZLCIKvA4qabuUF5rQq\nlJ2qg0n+W57Aqngy8ff3x97eDh8/F4okgRkTuxN7eCIZuTp6dghlz57zBAZ5cXD/lYrvGI0mdv9y\n7qk/jkePHk2wb03m9v2RRYN/Ii4iDbceNQmc2JbA99tSc04PSm5kElwtyNJSq6iiAnt7ez6YPJmX\nEhLZXVDAgcJCXk5MBMDZWk1ybuUHbQk5pbi6uVtC6iNh3Ni3WPH1Se7FpFNSWIaDhx0D53Sj68RW\nmExmjCVG3N2fnf7+XiTkR/56UqlaSbAgV69eZcCg5zHKZRj0Jny9/Vg4bzEDBw0gvyCPqSO7Vjy1\nqNHAE98aLnw/6zjd/xHOyT23uXj0HiPea8X6+WfQl5rw9HLC3V9F2v08Di44x9UdtxEVIsk3M1Eq\nFFhZWVm4x38cSZJIT0zB7b0GCL8WSjPczgRRwHQoFjmvFMHdFrGeJ+Kv2z/NvtxVPP3ExsYye/YX\nXI+MIDEpmfcW96Vm0IMLa492NalTw4NfjtwmIz2X0SPn8va7/fD3d2fFN3soKzU+9cG8JpOJiKsR\nDF/yHEqVgu/H7MSpQ3XKUgoRNQrUrjY4NPGlVlgtS0utoopKfDxtGjejo5nz88+4qZX4WqlJMxq5\nmZLP+NUX+fltK+pXc2LbpURWHbvDyIAcS0t+aHTu3JlWLdrxwWs/4VXHna4TWgHgW9cTa0cte784\nSaNGjSys8vHztAYuPwyqjAQLYTQaea5PT3q+XZdG3aojy3Dw+0gGDelPvV7+nN6Uj8kooVQ9uOE1\nlJmIPJdIxJl4TEYJtVbBhgVncHC2QpJknL1tib2chquvPS/O6sySMbuwcdRSt30AN07EM2XaFD7/\n7HML9vqPI4oiNeqEkX49HW24V3mbizVyYj5iMz8UoW6Y7+Vi2hhJi5YtqgyEKh4bZrOZ3NxcnJ2d\ny33wJYmNGzfy5htjeWd0S0ZNbsXBk260HfYd534aS5C/c3nRtBspSJKMn58b8fGZKK1ELp6N5uqF\nOwQFeBJ9O4nTp0/Tv39/S3fxT5OdnY1ZNuP3a5Cy2kbF3SmHQABZb0Lj64AANHyxoWWFVlHFv2Ew\nGDi0dy8b6gZS27b8wVp8qZ5e1+6SU1RG/3nHSC8ow8/Fmim9ajPrhx/4cvacZ6KwWkFBAQcPHaD3\nkPokGQ2cWnmFwsxi/MI9qdbIG0ESnqlsTr+Xv7O7UZWRYCFWrlyJ1kGkcffyIkKCAF1G1+PA91cI\na+1HZlweP845y/DJrVCpFZzaGUNmUgGBYe5IZgnvICdO7opGoRAJbeRNblYJMRdT0VopERUiu+af\np/3wenQe3QCAgswSZvabjVFvZMaMGSiVT89//dL5i+jdvy+mpAJEZyuKd99G0dwfZQt/AMRqThjL\nTHg8Q8u+VTzZrF27ho8/moxOp0Or1fLhR5+waeMG7t+L5bVhTZjydmcAWjUOpExvYuLsvXz2VmeW\n/XCehJR89AYjL7/8HHMW7GDB3NeoXcufDz5azeGj57G3s+L06VMW7uFfw83NDbVKTVpMNm4Bjkhm\nGa8R9bBv7ANmmbTNUeSfTmDAgAGWllpFFRXo9Xo2bNiAwlBGLRttRXuAlYZqWjWFSgEnrYqJLatT\nbDCx4GA0WoWa1NTUZ8JIuHfvHl4+zvgGuLDrqyPU61UTn9ru3Ngfy8VN1wmv/3S7Qf5ZTNLfdyWh\nKibhEVJSUsJPP/3E2rVrycjIAMqX4Z8f2I+Ppn6A0Vy5iJAglL+ykwoZ+ElbUpOLGNt6Da82/54f\n55zDztmK7PQiSor0nN4TQ0i4B13+UZuIUwmotUpks4RBbyY7uYDbZxJpM6QOAEa9iV8WX0CWZZat\nXISHtzt79ux57OPxZ3F3dwdZxhCXS9m1VGSDGdHfsdI2YqATuYVPt4tGFU8Hx48fZ8rHk9ixcgQ5\nN2awd91oZn0xDa2imDqhnrRtGlhp+/bNq3MpKpkB4zcQdTsVa42SrJwSDhyOQDLLuLs70q3XFAb0\na056/Fq2b/6I9LR45s2ba5kOPgSUSiWzv/yKrR8cY/+8s2i97XFo4lseQ6QU8RxUF9loxmQyWVpq\nFVWQkpLC/Pnz8fPwYN77E5HNEn2u3SVVX36NNkoyqXojBaUGjr7Ukt5hnigEge4h7uQXl+Dr62vh\nHjwcgoKCSEnK4cyxWNq91oQu77Skft8whizoiSAItGvd3tISLYIkS4/89aRSZSQ8Iq5cuUJAkD+z\nlk1hxeavCKkZzKZNG1m9ejW34q/x7taBFOWWcu1oeVl3WZY5tDYSO3cbDqy4TEpMNgM+akOLwbUw\nmsoDW9oPq0OrgWGYkBEVAq7+DugMJmo288FoMGM2lR9owY29ERUiRTmlAOxddonSYgOfHhrBZ4df\nZNisNgx94R8kJydbbHz+CF/MmYWyQwCO45pj+3xtkGRMR+6iX3AG/ZKzGI/dQ7qbS6e27S0ttYpn\nGEmSWLt2LS+PHsEH49rRqJ4fAOG1fJg+sQcKUaZBHT/2Ho+u9L0dB2+QV1hKZm4JNlZq9CYzer2Z\nM2ej8fJyYsaXG+nbqymvvtwde3tr7sSmoNWq+OSTj+jZs1tFZd6nDSsrK/Q6A7eOxWGWZIwFZZQm\n5CMZzCAKiKKI2fzkpv6r4tnDaDQy5cMP8XF1xdnOjlHDhjFy6FDqhITw8cSJfOVqzxZ/D47Xqk57\nO1veiU7irq6MCXeSkGVo7ufMpeR8WnxzkoScEpxVSjQKkZmfT7d01x4Kjo6ODBkylKhLidRoF1DR\nLipEanetzv34p/Nc9FeRZPmRv55Unh6fkyeckpISduzYQW5uLl27dmXEyGH0m9CAZs+VlzNPvpPD\nq6NfpWnzpjQeEIzWRs2Lc7rxw4eH2LnwAmXFRhBh6JJepN7MZOf88xRkFCOZJNqPaYR3qCtXd0aj\nLzYgqpR4h7lz/Wwyep0Rn5ouWDtoaTkwiGPro4i9mIogwIaPjzBydhcu7b7DG6v6orUpz0ce1NCL\nmq29efnllzhw4MnPxx4TewexYflSbumFRNCqEDxsUfavDUYJ05G7kFLE+HHjLay0imeBmJgYvpjx\nGdeuXSUsrBaTP5pK/fr1GTfuNSIuHcfNSYmrs22l77g625BfWMo7r3aixXOz0etNdGoVwr5j0Wzd\nF8Wbw5ri7+XI8s2XCfF34c1hzXhpyg5ycgpJT8+jR5dy3/xVaw7x1fxtfLtkHCHVvVm17ght27Ti\ndvQd7OzsLDEcf4qysjLGjR/LwIXd2DPrJHmJBdz5YD8qZytMhWXY1HCjTr06uLq6/u+dVVHFQ8Bk\nMjHulVeI3rubFa522CocWH5oPwfzC/nI141dOYU0s7UGytOGv+buzPc3chl5PY7aGiskSeJGRiFv\n777O6t7hdAp0JSanmNxSA98snI9SpebjTz5Bq9X+DyVPNgHVqiGIArGnEhAVIjbOVlRv4UdiRBrP\nDRhsaXkWwVI38WvWrOG7775DEAQWL15MgwYNKj7LyMhg5MiRGAwG/P39+fbbbx9JzZmqlYS/iCRJ\nXLx4keAaQSxZPYN959bQvFUTEhOTaNIjpGI73xouBNfzwlBmoCRPD4BfHXcm7RhK7Q6B+HkHoLWy\nxsbFmlpdghm1uj8thjfA29uHE6siKMkro/3LjfCt60nGvVxcqzkwYl53+kxqTfLtbBRqJee2R6NU\nK5AkMzIymYkFzOy7kdIiAypN5YBera2ak6dPEhUV9VjH69/Jyclhx44dnD59uiIF7L/TrlVbzNcz\nAZCydSDLCF52mM8kIMVkoehYHVmS/pYBVVU8XBISEmjXthU1PfNZ/WU3WtaS6NK5A/v27WPrlp85\nvHksLw9rydI1p9Dry11lDAYT8789Tkp6PkXFZVzYN5kyo8zYj7dy+Ewsk8Z24Mb9HGavOsP95Fwu\n30xh5ncnUatFSkr0uLvZs3LNQUpL9cxdtIOVy8bTvm1dfHxcmPLhYOrW9mbKlCkWHpk/xs2bN7F1\ntcHayYr8pAKsg10I/rwzgZPaETipHcU3Mxj8/CBLy6ziGUOSJC5fvsyVK1eQfvUjl2WZGZ9+iruT\nI+vWrWO2uyPVtRo8VCqmervhoBDJMJox/dvlxwwIQLBay9XSUvzVGlSCQF6pkY4BLpxPzqPzhgu4\na1XM7xDK8bXL6Nim1VPtQnfs2DHmfD0bjZWKE8svkRSVwcVN11nS70fSbmTz6quvWlqiRZAew79/\nJy8vj8WLF3PixAk2bNjAW2+9VenzL7/8kpdeeomjR49Sq1Yt1q1b90j6XrWS8Bf4ftX3TJn6MQWF\n+YyY0JJeI8utvH+83ZjXO64m5U4OfqHlT8pkWSY/u4RqNV05tuowvrVd8a/jQVpsDld+iaW0yIio\nElg5bAt1e4ZQlFJK3MVkVPYaao2oz8lNNyhMLsCsN+Mc7Epmnp41Ew6gtlWj15to/mID/Jv5EbH+\nGjG7b4MgYe9uQ3GODlmS2bvkEkM+bYeoEMlKKCDiwD3C2vrSqk1Lftywkd69ez/28fvuu+94d+K7\neNb2ojizGFdbFw7vP4ynp2el7V4eNZqFSxZhLC7DlFMCZgnpdhZisAtyRjHmzVEoNaqKTDNVVPF7\n0el0LFq0kIP7fsHFxQ1RpWZEv3p8OK49AA1q+1CmNzF/3hya1A/C1kbLqH805+jpGGq2nUHDun5c\nvJZAs8bBvNGlAW36zUVXakAhCLz9aifcXGzZsOU8eoOJ7HwdDvZWqFQKcgpKkSQwmYzcvZ+OnY0V\noeHjyMouIKxmZf/mBvUDmbdoGUOHDqVZs2YWGKU/joeHB3kZBZiN5vLldKOZu1MPIwig8bbHoakv\nUTeuW1pmFc8Q169f5/mePaGkBEmWUTk4sGPfPo4eOcLmxYtY6OHMewllOP5LBjxBEPBTq/FWq7hb\npudwQRGd7G0xAQvSsghUq+lkbUdnGzu+zM7ASaGg1CSRpTPwyfEYZrerwdCw8qx7A2t60HzDeb7+\n+msmT55soVH4a6xbvxp7Vw3ZWSU0HFibgtQiApv74Rnmxv1jyc9EcPafwRIrCRcvXqRNmzYolUoC\nAgIoKirCaDSi+rXIX2xsbIXh0KRJE1auXMmYMWMeuo4qI+FPcuDAAaZ+OpnJS3rw3qAf6Da0XsVn\nLh62NO8SwtqpJ3j3u+dQa5UcXBNFWkIWTjVjcQ505LuxexAFEY1GjWivocei59DYa4jZdpNLP97g\nww8+ZGXMSkLfqodLqBshvUIBOD3jGA6BztQa+iDLwJXFZ9FllaDUKrF2tcK3mR8JZxIoytFRkluK\nUq3g+rE47l5OxdXXnpSYbHq904I755Oo0yOQF18awcG9h2jSpMljG7/4+HjemzSBzgu6Ye/jgCzL\nRK2+xtg3x7L95+2Vtj169Ch29X2RvKzR38xAcLVGObBOxcqB6Uw8QlQWQUFVhZmq+H2YzWZOnjzJ\ne++8gb+zzPsD6pKSWcyHy44wvF/lqt1Nw335dvMecnLzKC4pw9ZGy4/fvMSew9fp/9J32NtbsWj2\ni/h4OzNmZHs69PoCDy9Xvll7koG9GtKlfW2+23AalVLBkH5NKC01smHrBeztrSktNWCWZFxd7EhM\nycHO1oq1Pxzjvbf6AlBaqmfbzvOoVQp69OjG6dNnqVXLsrUFZFnmyJEjnD59Gn9/fwYPHoytbWX3\nK19fXwICqnHo69MIgoBVgBOBE9siKASyD90le28M3k28LNSDKp4VTCYThYWFODg40K9HD0aYJHo6\nuwGwo6iQgb16ISDzgZMtDW2ssBFFzhTpaG1vA0CawcilYh0f+XuwLNiPd++nMD05A70kYyOKFJjM\nzDdmIsvgKojkGyUUwAvbI7iWUUjXXg+u+6Ig8HyIB59O+YShQ4dSrVo1SwzJX8JkNlFaYkCWoTir\nhOot/Ii/kkri1VRKckstLc9iWCK7UW5uLk5OThXvHR0dyc3NxcOjPK103bp12bdvH+PHj2fv3r3k\n5uY+Eh1VRsKfZMmyhbzwTjNCG3hjZa0iL6sEd58HVnZ6Uh7FhWW833EdkllGrVXR89OOVG9ZnrYz\nPTqLnROPYmNvS+0JDdE6lPsxhg6ogyFHj0KhID+vABuPyhdfOx97jMX6Sm2CKCDLMvpCPTe23kRl\nrUIGrJ2t0ZcYcQtyIvt+HhobFY1712D4rM7cPpXIvStpvLl5MA7utixetoh1q9c/2kH7F3bt2oV/\nK3/sfRzK+yAIhA2uxdahPyHLciXXoZKSEmQbJdYdqlO8Oxqxlkelz8WabqhjChDFKu+5Kv438fHx\n9OzeGYOuEIVgZtu3ryL+Wqivhr8zAz7YxrwpfSq237LvOk4OauztXGnR62umvNsDXamBzxfs54sZ\no8gvKKZmk0kEB3oRl5BB9ereHNr/JSkpOaz/4QhRUfdxcLBl59apbPr5JLayTK/nmhNey5d333gO\nG48XSE3PQwAQYOr0H4m4dp+QYC82bTlNvTrVSM/IY9yrXfl6zmxWrV5rmYGj3J1jyLDBXLl2jhZd\nAzh2oZDPpk/l1Mmz+Pv7V2xXXFxM/P14bL2tQAbPwfUQleXz07VbCDmHYqlbp66lulHFU44sy8yZ\nNYuvvpyF3qDHyd4BU6mOnh7eFdeGfnb2rEpJokwAZ38PREFgqq8HExLSaGdvg50osr+giHA7K/4R\nHY+bSkmWwUgTGyvsFUrOlZSgFMAoSWgEgTxJQkZARCYivRC1UuR8agHPVXer0HQqOQ9Hlcgro0Zy\n8NhxC47Qn6NfnwFs3vwTYV2C6flhWwDqdA9h/5xTxBxOsLA6y/Eosg/dvJDMzQspv/m5s7NzpaKa\nBQUFlTwlPvroI9544w22bdtGeHg4Pj4+D10jVBkJf5qCgnwcXX0RRYFeIxqw6IODvPFlF5zdbdiz\n7hppyYVM2DoEQRS4dTKe/UsvVhgIAJ6hbjh62VOYWYLKSlVp36JWQYmuhI6dO3J//11qDS2/mBp1\nRpKPJ+AQ4IRklhAVIgXxeSQcvU9hgCNX1lxFY6+hWocgorffIj+tCFmSybqfR1iX6tw+eI+tX5xC\nMsv41HJjxIIeWNlrcPC04dKxi+j1ejQazWMZPysrK8yllTObGEtNKJQKSktLsba2rmhv164dn0yf\nhrp1NZBBTi+C8AdPIeXMYgIDK6edrKKK3+K1MaMY3tEXa42Cuyn5FQYCQOv6vuQU6Oj/+jr6dK7F\nwVN3OHUpgYvHZuLp4cDMr3cw9oNNOLvYs3DBG/Tu1RyAAc+3oUOXDxky5AWqB0mIooifnxsfTR7C\nvXuptOv4PmFh/nw2dTgA7078FqPJzMYtZ1CrVQgiqJVK3N0cSEjIJCY2BWtrNa+P6cbmLad5/eVu\nNG5QnVfGf8OdO3eoUaOGRcZu7969RN64wNLdL6DWll8+1nx9ig8//oAf1m+s2C4xMRE7Z1tU9koE\npYigeDDGgiCg0Krw8/N77PqreLqRZZmjR48ya+ZMYs5e4Gtrd3w0Kq4ZSplWksV9g57qmgeBw5LJ\niLtayaqsPD739aCFnQ3rg/0YfjeRMklmcqAHPVwc2ZmVx9KkbBY1CmLWrWRSzGYEBNRKAcwSrmoV\nSXoDBknGSgAZGbNZYuyhm0wvDSHY0ZofbqUSm1dCuJsdl86dJTY2lpCQkP+nN4+XnJwcli5bytUr\nF6kZWos3xr/5H3Pw9JlTiCoFNf8lsxFASOsACm6VPUa1TxaPwt0orKkPYU0f3Nj/vPhipc+bNWvG\nJ598gslkIjU1FVtb2wpXIwB7e/uKOISPP/6Yrl27PnSNUBW4/Kfp0+t5dq2JxGySGDWhLaH1vBjf\ndS0Day3mp6UXaDmkDiqtEqVagW+YG7r8MszGBzfFZqOZgsxCevbsQeyW28hS+UFYmqMj5WgCA/oP\nYOHXC8g+ns7Zqce5tuISR8btYWCfgTjobdkz/CcOjtvJkff24N3Yh7DBdem+sBeuoe7osnT0Wt4P\nyShh42qNnbsNtw7eRW2twsbViqCmPry0og9eNV0xmyQubbtNblEWA//x+AobDRgwgPRraSSdS0SW\nZQzFei4sOYfaUUu7zu0xGB7UkDhx8iRqL3tyZh0HaxVSdBamcwnIOTrMtzMxH7nH1MkfPzbtVTy9\nFBcXc+rMed4d0oh6Ie4cvZSAyfTgKdGRS/HUDHKnTctQNu+9wbHzcVw7MwtvLydEUWTKpP54erlS\nPzykwkAACAjwQK830LdfPzZuPkVZ2YPjd+WqA9jZWWMylc//2NgUvl99gJVrj5oE+WEAACAASURB\nVDB56gbcXB0QBAFrKzWpqeVLxknJ2fy8/RzLVx5gQN8WzPxsOJu3nKZR/QCmTbXcsX74yCHa9gmu\nMBAAug6qw7FjxyptV61aNQqyCynKKkFQiOSfffAUsvh2JqZsHa1atXpsuqt4Npj49tu89PwAbp84\nzesaJ3yVagRBoIHamj5aRxZmZyHLMrIs81NBHi5qJRvrBnCjtIye0XF8kJjGqPtJDAlwZ0XT6ixP\nzaVLVBzfpuWxuVVNevu4cKpzPVY0C8HbRs2ShkEc6VCXeY2CGBXgTridFRqFiIiMDBQbzHxzNZEJ\nR6O5l6vDaJYoNphQCdC4YQPi4uIsPWRAuetK8+ZNiIu7wPARTTAaE2jatPF/pFfevmMrIJMUlVGp\nPTkqnfp1K7th/p2wRApUR0dHxo0bR7t27XjhhRdYuHAhkZGRfP3110C5G3bHjh3p3LkzdnZ2dO/e\n/ZH0vWol4U/StWs3Pp0+lZFtV1CvuR8RZxJQKkU+WtMHSZL5ZvJR2o4on1T2bjaIgsihWWdp8Up5\n2/mVkbRs0ZJli5fRsWtHDozZia23PTkxWXz80cc0btyYvLw8nJwcSUtNQ19SBjLcjr5Fem4GtUY1\nRKFWkBebQ8alZFpMbINSq6Tha03Z/co2Gr3eFK2zltK8MgKb+1KUUcLIb/uw49NjJEZlsGjQZkJa\n+BF3ORUnL1vGrO/HgiE7iYyMJDz80VdVdHZ2ZvfO3XTv3YOz0mkks4R7Mz8afNWN2K/Os2XLFoYN\nGwbAxYjLKBt6olSD6V4egpsN0rU0pIhUEAREmaobjip+F0qlElEU0JWZaNfAj0BvB3q8vYkx/eqT\nmF7I7LXnWbVwJH26h9O3eziNu83Cztaq4vtlZQYyMwvIyIwiMTETf//yKt9z5m6lb9/e9OjRg8WL\nFxJaewxD/tGei5djiIxMwGAow7vacKr5u3PjZgId2tVl5mcvEl4vkK7PTeHK1btUD/Tk9p1UFs96\nhTcnfAeCQDU/NwRRpFf/GaRn5LFm+Ru07TaVc+fO0aJFi8c+fj7evpyIOFOpLTU+D0fHygGN165d\nQ1AI5CUWIKoUpKy+StbeGESVAn1qIZ3bd3rqU0VW8XiJjY1lzcrvWaH24n0hCQexcsY+Z1HJ4bJC\n+iXcRy/LuGtULKnlj5NaxZ5GIbS4cBt/VxsmNqxGiF35nN6XW0arNycxY9pU/nmbJgoC1gqR+yV6\natvb4KxRIiOzKSkHo2RGRkAhCKjEctejuMJS3K3UeFursVKI5JSaGFfHl2vZRTSoU4tL16IsvqKw\nfMVyWrUKZdWqiQAMGNAWW1sts2Z/wbcrVlZsJ0syoihw+afrqK2UBDb1Jf5SMpc2X+fY4cWWkm9x\nLJUCdfTo0YwePbpS2z/vzzp27EjHjh0fuYYqI+EPYDQa2bRpE0uXLSQyMgo7Jy0FuToyMwqZsLgn\ndyLSOLD+Oq9+0YHs5ELiItJQqERO/GoQWGutWTN8K5Is4+Prw/L1U0lNTSXufhwuNV1Q2ohIxU6c\nPnMas9nM9BnTMXnLdJ/VB0EQMOlN7H/jF3w7BBLQtfyk49c+iLOphSSdSSCwU3VUWiWSUUIyShhL\nymsvFGaUoFCJHF16kWoNvPCq7sStY/F4+NvToFMg1RuX+3G6BNjy888/PxYjAaB169Zo1BpqvtUC\nGz8HVL/WcbAJd2Hr9q0VRkLtGmHsnLcLWSWCQkTVwBvR1wFzbDbG80koNWq8vb0fi+Yqnm60Wi2e\n7q68OfcQyz/oxpYv+zHuq0OMn32A7m1C0JvMtGhcHgDv7moHCIx4bTlfTB2ELMtM/uwnOnbsiIxA\naJ0xtGldh7j4DEpKTFy8eIXU1FQuX77MuNd6ICoEOndsQGJiJr16tue1V3uRmpqDp6cTrdu9h7eX\nM6IoUq9uAA4O1uw/cAUrKw3j3/0WFxc7agR7kZ9fTHx8OoP6NWfooNasXn8MRwdrevboTnTMnYog\ntsfFyJEjmfP1bHasuUzHvrWJj8li7gf7KC02s3btGkaOHAXAiu9X0HBobc6sicC1pT8ad1v0WcWU\nxOUhA+3btX+suqt4+jl37hz1lNbYigqaqmzYWprHZKUnoiCgkyT26wv43M8DEYEJSWlsrR+E9tdM\nRnpJplQGUaDCQEgq0XMwNZdZvXtz5uQJBu3YzkBfF1SiyKbELLQKge6nbxFko+FqXgkeGhV7WtZl\n+u1ktqVkY5LMKEURlVieKjWusBQrpYJT/Rqh/NWFcV5kIu+OH8vug4ctNWwAXIu4zPP9G1Vq69Gj\nKW+/9X3Fe51OR1paJiobEUGA8xsiubAxCskogVR+vf67YpSe3GJnj5pHZiR069aNiIgI3n77bT7+\n+GNkWeatt94iMjISBwcH1q1bVyly+0nHbDbTu29PkrNi6di/Jj51wzmy7SYff9OHdXPPkHgnm5Bw\nT07uiubyoTgCgvzY8elZCgsLcXSxIz77LCgEnp/SFr+6HkSfSuC53j0Jb1Cf0EE1qDuwDgCSSWLf\n2wfZvXs3v+z9hZBxYRWBWEqNkpDeoWTdya6kzb6aIyWZxciyzI1NUbjVdufEtMOYDWZMehNZd3OQ\nJIn7F5MxnzEjiAIaKxXVG3rj82uK1rISA4k3M1gauxCVWsm0qZ8+lnENrhGMLrcUx1C3irb86Cx+\nuX6Ta9euUb9+fUpLdaBWQJkJRbAzhnMJUKhH8HVADHRClfr3zbrwsHjW5uu/YzAYOHLkCEsWLyIj\nM4ND+Tl491qKrZUaJ3stZknm+5n9Odl9AcvWnqBGkAczF+zDzs6OA0eiOHg0ElEUEASBbt0DOHv2\nJEf2zSAhIRO1WskXc7azf98+MjIyGDywNdM/e7Hit1u1rMXb7y5nwfxxhIWVxyW1blWbM+du06Nb\nI3b+cgF/fzeMJjP1gr2Juh5PUIAXl67cRZJlunWuT8tmNRnwwhzOnI+mXctQzl++R6/nunP23MVK\nfqqPGnd3d9auWc/gof1ZOes4bt72DH67Kf41XZn02vsMG/YCKpWKwsJCrp25BaJA9vkkpFIjKAQU\nGiWyScLLqyqz0V/hWZ+v/42Y6GiiSwqQ7Z34h9aFacUpvJKXgJ9CRaSxlCa2VrSztyXfbEYQBN6M\nSWZSNQ8kYFZ8Bna2tqyPz+JsViEeWjXHMgt4fuBArKys2L93L5tb1uR0ViEmGZY2rs47V+NY1TyE\nbIOJOg7WdDh8nWKTGRuliFYpYq9UkKM3UipBhk6PGfiwQUCFgQAwMMidJXvO/Gaf/iyyLHP69Gl2\n7dyBnb09L744koCAgN/cPjSsNqdO3WDIkAdPnk8cjyQ4uPxho8lkol2HtsiChLFMxtHHgWYj6qPX\nGTjz3RUMOuND78PThPnvayM8OiNh1apVHD58mOTkZKA8ZWhZWRknT55k/fr1fPXVV3z55ZeP6ucf\nOgcOHOB+UjRztw9G8WuWjmo1Xdmy4hIvvN2Sn1dcICTcE7NZ4rtPjuHl5YVSIzBj/wtY22tY9uY+\ngltXo26X6gA0H1SbovRSLu64wPNj+lb8jqgU8W7pyanTp3B2dkaXo8P5X1YqdZkl6PMfBBCZDWaS\nj8dh62xL/KH7lObrkJFRapXYedrRaVpHdry2k0ZDwrlz9B6leWV0fKMZx5ZdYPnYX+g4ugHWdhrO\n/nyLep2DaDWoFnNemcPY18fh7u7+yMd15rQZPPd8L0ylRmz9HUg/nUBxYj5uXavTom0rdm7ZzvZd\nO8EkgVnCHJdX/rcoQGEZUloRLv+SVaWKP8ezNl//lUuXLvF831642iuQzGbsrDXMfbczG/ZeRxBF\ndi0agnfneRy7cJ+CYgPL156iVrA7419swYLvTzJ95mBGDmkJQE5uMTWaT+G1Md1o0SyUFs3KUxOr\n1SrmLl5L40ZN8fGpXKvD28uFnJzCiveyLHPjZjxHj0cycfL3ZGbmk5VdgK2tFc7OdsiymUtX74As\n4+Rky9xFv7D02/24OtuSHDUXW1ster2RLgPmsXTpUt55553HN5iUZxur1zyId5d0qtRuMJZy7949\nQkNDyUhNpyi9BFQCSlsN/PNJnEIEpYCvr+9/2XMVv5dneb7+N3Jzc1m2aDGiLPG1Lp2BWmde0Dgz\nT5dBoWgmRKVBL8ssz8jhp5wCzGYzRQYTo2/EISLgrlGh1xu40qkep7ILyTOYGO7nysQjR4iIiKCe\nmxMNne1o6PygqrmrJgm1QqSTpyOyLKMWBLal5vBDYhYaUaDUZEYvg5UIBhmcNUq23c9kWIgHrtry\nVfHb+SUohId3h7l7925mfzqN2zExIJkY2tSfUlFB43lz2bx1O506dfqv3xs3djyNGjVAo1bQt19r\nzpy+zuyvNuHo4EROTg6ffvYp169HlhcqFUWGftMH1a9xRz51PdkwZvtjTWzypPE3Xkh4dIHL/56O\n6eTJk/Tq1QuA3r17c+LEiUf104+Eixcv0qi9H7Isk5tVgtks0bxLMHci01AqRTJTCjnwYxTZKUU0\n61KdTkMDKdXp0NqUP+UryCzBI6jykx2XQHusbKzIuV85v21xQgmBAYFMeGsCt1ZHkXs3B1mSST6X\nSOLheIrvFnBj2WXubL3BkfG7UCqVSGYzJTnFNHitCf3WDaJGnzBK80oxmyQUKhFZktHYlZ+4ynRG\nzAYzfrXdOb4uktjLKXgFO3H9SBzfjtuDJJtYsGDBYxnXzp074+9XjdRj97m94hIms0ztaZ2wCXBC\n4WtDzz69SElLRRXkDIIAWiU4W4GNGsHRCmSZ6v5VmY3+Ks/afP0nZrOZfwzqz4L32hCx8WUif3qV\nBe935ZNlx/lp1gAu3khh1/E7GIxmhk78CRGJF/s35Mimsbw0uBnxyXm8MPBBATMXZ1t6d61HXHzl\nwD6VSoHJZKRrt+6sWXuEoiJdxWeLluxEqVRy82Y8SUmZjB2/qLxS++U7lJToSYxbz9RPXsBkNHHk\naASd29fGw9UOvcFIfoEOk9mMyWRm0pvdsbUt9+PXaFR8+E5PNv7w19Oh6nQ6jhw5woULF7h8+XLF\njedvUaNGDe5GpWE0PEjEkJVSSKlOT+dunVi/fj0XLl4EhYCgUKBytsZ/YhsCPmqPdbALoiA+lTnk\nnySe1fn6r8iyzMJ58/Bzc8fdxRVtaRndrOy5Yy5jUlESK8uy8VKqaKq14baxDLtf6xi87uqCm0rF\n+hr+HK8XwtF6wawP8ccsyWTojXT2cGSQnytt3OzJLyyirKyM6xk5lJkfJDDI0RtJKzXgZVV+zdyc\nkEWpJLHkbiqyLFNmlig1SzipFJgFAXcrNaPq+BDiYkuTrZc5kJTD/sQc3j0Ti19g9YcyHr/88guv\nDR/GaLGQXc2CGFPNla2XE/m4aw2+HxrOsEH96dShNTNnzqCoqKjSdz09PenWrRunTkfx0Uffcude\nAodPzqRdxzDatG3JmrXfYTSaQRDwqetRYSAAuFRzRKlRkpaW9lD68TRiluVH/npSeWwxCTk5OTg6\nOgLg4OBAXl7e4/rph0JwcDBrN37D/o2R5dUc1Qra9w3D09+RdfNOk59ZwogJbeg1oj5ju6+hz+gG\nHPr5Jncj0qnR2JvqDT2JPHAXv7rlPsSSJBN9JIk+Pfuydf5WpLcknPwduXfkPnnRefTp04dZX32J\nvlDPkUn7MelN+FbzRa1UIYsy8cfuIohQa2BtwofVRxAFUi6ncGbeKYI6B1NnSDhpV1K4e/gusiQR\nue0mSDK1Wvtzavkl3PzsSb+fh0FnJLiRF+c23+SLLYPw9HcgNjKduWOXMmDAABo1avQ/RuavM6j/\nQNae+Rn/VxsiCAKyJJN5Ig67Rj6IWhVFUWlw1wQmM5QZocQARglJkkEUKdP/fVOzPSqe9vn6T65d\nu4ZWJTGgU1hF28DOYUz75gTRCdn4uNkxasp2vF1tMZlldnw9kLav/cBn73VHrVZgb6slPjGH4KAH\nq2p347OJvZ9BVlYBbm4O6HR6vpyznbZtn+ONN8ZSVKwjMHgUz/VsSmTUfVJSc6ge6EnzVm8jyzJD\nBrcl4vwinJxs6fX8Z4wYNYdz527RonEQlyLiuXT1PrrS8uxIgiwTEuROXl4JhUWV3eoKinTk/sX/\nl23btvHqKy9R3duBxLQcjGaQEOnatQurVq+vlIr4n9SrV4+gwGC+eHkX/cc1prTYwKYF5+k2Mpx9\nq68x5rWXUGoVGHUmMEv4vdMKpV35E0jf8c258/Zurly5YvFgzmeJZ2W+/iuLFy7km+mfM03jgI93\ndfaVFLKxKJdVrgHML8wgSKlhty6fTcV5BIhqNILIBA93ruh0OCgVlWrpKAVQC5BvMOFvXX4sns0p\nwsXRgZdHDMdbrWDEuRjeC/XBIMl8eSsJARh44jY5BiMFBhMAUrl7PkoBBFHEVq1EKctcHt4cO3X5\n7dTqGymMOxWDu5WaUkTmL1n6UMZj1qfTmFHDg25e5Q8b3wrx5r5Oz4YL8bzVoQa60gu8MiCAHQd3\n0KnjVk6fuYBara74/p3YaKZ/OZzWbWtXtHXrWZ9dO87SuG0Q547EgiCQfjsbo96ESlPen9ykAkx6\n89/aRfDvvJLw2IyEfy0MUVBQ8Jv+kp9++mnF3+3bt6d9+/aPQd3/RqvVUlig4/MfB+If4sK9GxlM\nHbENQ5kRlUbJou0vMmn4Jto+V5OWXYO5fj4ZjZWS7KQCajT2pkXfUOaN2klOUiHVm3hz43Ac1pI9\n5y+exdbRiksrLqLL12Nra8vxQ8cZNmIoBda59F/aHYPOyLllV0iPzaLD553wqO1BaV4ph6ccQqlV\nIvzqA+nT2Ae1jZq8e7lIRjOF8XkU3s+jXqdAbh5PoHZrf7xDnLl/LR2FAnR5OkRR5MCyy7w2syOe\n/uWFzULCPek6ohYrv/+WRo1W/OGxio6OZvnyZaSmJtOxY1dGjRr1/2YymTTxfbbt3MaNTw7hWN+L\nvMg0ZJWIV9tAdHeyUTpoMRnNIIoITtYoe9QEOw3SrQzMR+8hIvzmvp8mjh8/zvHjxy0tA/j98xWe\n3DkLoFaryS/U0eGV9ZyNTKKatyOTXmxBqd5EWlYx0Qk5dGzozy/zBtJo5Boy83RYa5UkpuZTI8iN\n14e3YNDL37B60Wi8PR1Z9N0RIm8k0L51KCF1XqN2mD9RN+Pp1rU7O3ds5b3xnXh1dBeibiQwf+lu\n4uPTSU9cj1arobi4lNoNxmFrrWHO/K38svsCaWk56EoNODnakJVTRHFJKQaDElsbDWV6E2ZJRqNW\nk1+Uw/Q5u2jVNIRG9QO4F5fJ1C934Or+52sNZGZmMualURxc2J9GoZ5IkszkZSe4l6PHqEukV68e\njB//Fr179650swHwysuvM33OR2ycdw6VVslzYxrSpFsQ+9dG4l/bjfioTJBBtFZVGAgAgkJE7WlH\nSUnJn9b9pFA1Xx8t87/6io80DtRUl187Btk5EaXXcbysiDZaO74pzESLgCjLfGLnzZiCeD6TPamr\n1ZJqMHK+sITmv1ZWPpRfhFGS+TAqnhEBHqSXGViVnIdKa8XMYA+qWWs4kV3AtKgEkkoNdPF0ZFpt\nP16+cJeGWg1qjZZThUUYAJUgYKNSUN/ZlpZu9mQLUoWBADA01JO3jkXj4OTE9m2bH9r4JiYlEVqv\n8o16qI2WhBwdiXk61GoFz3erw+Be4bQZtIIWLZph72BLn979GT9+PDVrhHH2zO1KRsK507cxGEwU\nZZdhZaVGaa2kuFDP/7F33uFRVdvDfqfPZNJ7D2kQSIAklNB779JEUaQpCKiIgoIdaSJgARXEAoqg\nIEqT3ntPKCGEkt57Msn0Oef7I95wo16/n16BwM37PPPHzOxzZq09s86ctdfaa22esYsWI6Mw6S2c\nWH2ewIDABz7V6L+xV8u9b7hcZ7irToL4byGUzp078/PPPzN48GB27tz5Hw3n3y9gdYmv137BU690\nIDDcDYDQKC9GPR/H1dNZKBRybicV0K5XOOcOp5CdWkqInYL05CLS5h9n16qLVJYZkcogpKEL1hI9\nTdv4cvTHZPyjvJi4tLp6kSiK/DTnMKtXryY5JZnHvxlc4wD0fqczX478HpcG1Rd/jYuGuCltOLb4\nCEqtCjs3DVWFVRiKqtg74xfkShmxfcIw6y20HdqEhD0pJJ/N4srhNGyCgGgTkMtlaB3VmIxWtI61\nLwAOzmpST//1Gs8nTpxgyJCBPPV0F7r29WLNFx8w9903Wf/dxv/4nTs7O3PpfAJtO7Qj6UIK7gMj\ncIjxxZBaSmViPuoQV6zJhQDIe4Yj+bU7tSzKG+FWMRqN5g/P+6Dx2z/sd955555+/t+xV6i7NgvV\nv62KSgPjRvZg59fjuZycx2PTN1CpNzP69S0smtKJ9749w7XUInzd7UlOL6awpIrn3vyJmEg/1v54\nDh9PR4Y+9Qkl5XpCA93w8nTk2fHdmTS2K0qlnH2HrpFRIKOqqoK4luHs3HOR1i3CWLNyGpEXXuTD\n5dto07oRZeVVlJbqKM7NRRTF6qpHvZqy+2Ai5eV68gvKUSoV2ASRkAYeXL+Zz6n9b9MwzAeDwcyQ\n0R/QY+gSHBzUGAxmXF0cmPj0s397brZv307vNiG0iPAGQCqV8Ma4tnj2XcGFA2/QfsB7fPDRO7z5\n1mscPnQMD487xQX69evH9BnP8/qGwfgEV69gH9hwlcDG7jRpF4CuxEhBdjmCwYohpQRNSPU+DUuZ\nAWNGGf379/8vvtW6Qb293l0KikvYoVAzt0SPvVTKIK0zPjIFpYKVTKsZiyjwtXMIUyoyyLSZsYlw\nsrIKuVSCk0TKpJuZNLZTYxNFkg0m5CJcqzDw5e08PJVyGoSGcuNaEq9cKcNZJscqEVnSrAFfpuVz\nLq+MHZnFSICDlXqUVEcQ3BQytDIZXlolo4I9sAgiJ3JqpwvfKNXjZKfmelrmP3pj3b5DB7YlX+C5\nsGp7tQoi2/PLGBIcxONrz/Dc2A4of3VWurcLJj6tgqfGd2LlinUcPXaI+fMW0bJVLAq5jA6dItm3\nJ57Nm07QrWczzpy8joenIwWF5di5a8i/UcSh5aexGK0oNIoH3kGA/85e63I60N3mrjkJzzzzDCdP\nnsRkMnHhwgU2b97Mjh076NSpU031hQeJ7OwsWjjVDo87uGi4ei6Lpq0DMZuslBfruXgsjcRzWVw6\nlYHWUUV020CKCipRNnIjpnswHYdGUFlmpKLYgFqr4PK5XC7tvInVbKVh+yCa9GrAkU2HcQ1wJuNC\nNmVZFXhFeODd2AOlnYL04+mIgohXUy9SD93GXGbEfCOfjJRSijLKGT2vK1aLwP4v40lLyKOqzMj1\nExlIpSKmKitKlQyZIP21y6wEdx8HUq4VsOOreBrF+iCTSzFUmtm19hJtYv56Dd45r83i3cWPMvyx\n6r4FQ0e2pXu71xk4qB9ffbmWESNG/OFxKpWKfbv3EtQwhNxv4inafh1LqQGPEU0p+OFytSsvkYC2\n9oqmxF5FWFjYX5aznto8bPb6L1asWM7jA5sx5pFYAOKaB/DJ24OZMHszLo5qWkf60q1lENuP3eJY\nQhaJqUU0DfXg5PlUSksqadjAnZ4dw/n021NUVZkwGc1kZBXx0qtrMZmsaB21vPRcP46fj6e8rJwh\nIxbQMMSdc1eyeGv2SHQ6Pdu3HmP9+n3cuJ1Px1YhGIxmrlzPxWqzsWVXAnKZDJVKhkwmRa1WsPHz\niew5fI2unZvSMKx65VCjUbLo7UfpPmghcbHBxF/NJapZS8aMGfNn6v8pCoUCs/U3Xc+tAjKZBLlM\nilIpZ8veWbwy/Ru69+hCt27dGT9uIs2aNcPb25tlSz9k2rApNO0QgF5nIjetnKmf9mPjouNYzTaU\nKjmmSgvp7x3FuWswUrWC0v238Pf1w9vb++9/qfU8tPb6L6xWK0qpBJlS5BN/P4otVhZlF5JvsdBF\n5cARYyVKpCTZjJQIVn42lqIBZufkIgJGQcBTIie1ykQVAgKARIIKKaUGC54KGYlXriEg4CqT09fO\ngfMGPU+fv4VEImIWQC2pjlFbRAGJRIJcAlKZlDyLFSebnBSdgWca+vJeYhbvnr7N+Cg/MiqMvHA8\nlbfnLfjHb6znLX6fTm3bkGrKoaFKys95ZWQZLCw/msLgPpG8Mb0nUO087j1+i6mzhtOrbyxdezQj\nNnI6RqMRwSZy6VIKW38+TdPoIHYceIsPF28hrn04N5JzcHK3p+noZnhFeFB4sxhnf0cM5Ub2vXv8\nH9XlQUP4H44kSESx7rhI/1pNr2vYbDY8vNzwDbVn7rfDkCtkmIxWZg3bgFItJ+tWCWNf6siXi47g\n6mlPUZ6O2csHsX75SfQ6M/nZZai1CibO60b8oTTO7rmNs6uWilI9JpOFqLgAJKKE65dyCI0LpLFb\nDL/8sg13fwcaRnuTcCwDxwAnMhNy8Qp2xj/cjUuH00EUGDi1FSHNvHDysGP1zP1UFFUhArpCPRKp\nBJtVQKGSIwoiMrmUwHA3Uq4VMvHtLsR2acCN+FxWzNqHh68DRr2FkChPrp3NxtnNnhlTX+f555//\nS3Pl4KAl4eYynJy1Na8tfOdHLsbfIP5sOmFhDdn0w08EB//xZuPExERatmmN4CRD4e2IIakA7aDG\n6LZcA7UcaYQn8vbVmx5FvRnb1xeJP3OeZs2a/e3vt65SV+3h36mrMtpsNnbt2sUTj4/k9SldeGlC\nx5r3km4V0HbEZzhoFWx5bygj5mwhp6gKO7Wc2EZenLqSg9UmoJJLEZBgMFnwdLbDZLFhttqQy6RU\nGSzIZVI8Xe2wiqA3ikhFC84OasYNbUHThp48PutHLFYBP09HyioMWK02LDYBpUIGgojJYsPBQUNk\nmCfODmr8A9w4cS6VhAOvMWfhViQKFfPfGFkj98VLaXQdOJ9evfoxY8ZLtG3btlbe9V+lrKyM8NBg\nvnmjJ33ahmA0WZm6ZB82tQarCFoPRxYsG0NSYibDBiyi96hm7PruCqs+RhbCrgAAIABJREFU+5Jh\nw6q7s2/ZsoVHHxtJ8+5BNO8azIW9t0m9nI9MJSekQwOuXSvApXsoJbtvAqBt7o1+ZwqVJRV/JtoD\nSV21hX+nrst45swZli1bxvaffsRLJuOXRsE1v/FUo5mhN9JAFFnmHMDaqmIKbVbyBEt1TQuJhMZa\nDT5KOVcqjUxxc+eToiLClEqGODrjLpPzUXEhF/WVWJHgJ1fSXm1PgklPssWIp0xOmWDDKgp4yhQE\nyJWcN+sRJeClUfJjlyYE2atJLtcz9NA1TDYb77cMobGjHXMS0rhQUomvtzcvz3mdSZMn/1e2+Z8o\nKipi7Zo1pKek0LFrVx555BGOHTvGoyOH8vLTHQhv4Mbn609TYhTYeeBdFIrqdeCJY1YwaMAE9u3f\nDfJclnw8HqlUSlJiJoN6zWXM05358tMDmMxWInqH0/2lOz0RTn99gdR9OeRl5f3j+txP/q+2IJFI\neO/8pLsuzystV9VJ26x3Ev4/mEwmmkZHkXI7BYlUgkIlJyLam/TkIpw97CgtrEJXYsSvgQuZKSWo\n1HJsNgGr2YbGQYXVbEMqk6JSyanSmZAA3gHOlBRWYjHbsFoFVCo5IiDYBEQRoqKakpKejKOLhpAo\nDx5/uR2vjdxEZZmRkGZeuPo5cH7XLRDBL8yV7NslCDYRqUyCKIIgCNg7aojrFsKhbUnE9QilKE/H\nW2uGsm7JceRqGY+9eKdb64GNiXz/4WnGz+mE1SJQmKNj//pkkq7dwM3N7S/NV8tW0bz0Wg969qnu\nLC2KIsP6LaRF+0C2/nSRuH5hHN+UxvvvLeORRx75w9WW27dv0ySqCVaVBKdJcSgDnKncf5Oq7Ulg\np0TioAInNWJqCXYqDVXlut+d42GgLtrDb6mLMprNZjp36kBKyg0sFit2KhmXtj+H66+O6/Pvbufw\nmRRyCypoF+XLoQsZRAS7kVdqQG+w8PRjcWzfn4jJYEYukxHo64RUFHl6UHOmLN5Lh2g//D0dadLA\nlXW7EzmXlIdcJqVHiwACPR1YuycJk8WGj7s9+cVVWAWRmIaeOGoUnLqWi5ODBr3Jir+PC7Om9kJX\nZeTdZTuJiw3ibHw66efmkZicS5/HP+HwL6/TKNwHvd7E4Mc/JDC4BV99veYfm6sjR44wdsxoBKuB\n4hId9vZqzFYbrds2ZOXaKdg7aNi7K4FFCzey5MfHSDyXxbIZh0hLyUT2a6Oq+Ph4xk14ipu3b2Ay\nWJAppKjsVVQV63HqEYbnqDsOvLXCRNrM3VhND1/d9bpoC7+lrspYUVHB4L59iL9wHnuZhEK9mf6u\njswPuJODL4gi0VduoBDhS5dgxpWmISDycog3De01PHs1rXqHqURCEzsNSiDZaMKGiJNCjtkm8IKL\nB68V5OImk6ETBDxkctylcvIECw4SKX5yJaeMlTjJZahkEkotAlHOWsY39GZIoHuNLKtv5LL0aiYq\nmZQisxUfNzc+W7OWfv363fvJo9oGP/nkY3KyMjh15hzf//wKbdtVl2c2GEzENJnO3j0H8fX1pUOH\nthQV5xMS5kVyUhYvvNKPFUt24+qlJfVmIVKFnKaDImgQ50/25XziN14hIjyChIuX7otud4u/4iQs\nPHf3nYTZreqmk3DXSqA+LIydMBbB0cDM7aN58/A4+jwfx43LebzwcW8kUglV5SbUdgqqdGYkEjCb\nrGid1Gi0Ssa90xknNzuGPdOSCa93RqmWI5FLKMrX4RPoTMMob5RKGa6e9iCKNI72RWOn4OqVKzg4\naHB11pJ3s5xp3b6hosSI1WLjxoVcLu5JoUGYB64e9mTeLEaplKO2UyD8Gi3wC3HFZLRgtdho1jaA\n8hI9gye2QKWWU5xXid9vSrH6BjsjV8j49LUDfDJ7PzmXZOzbe/AvOwgAb735Ls8/8wXfrT3CqePJ\nvDD5CwoKyqgoNxDa3Iv+E6LRGcp5Zf7LREVHUVhY+LtzhIaGcvH8RfzcvClddpzCN/ZStf06Ei8H\n5ONbIm3pj8TXEdmjzTFbzGRmZv7dr7eeh5BZs2Zx/fo1Xnv1UdZ+OYNmzcNp2OtDZiz4hV7jvuKb\nLfE0a+yD1SaQnFGK1SaQlltBbLMGjBjcitJyAwm7ZuDgaEd6XgUnEjIp0JmZtHgvBosNjbMDXsHe\nfLErCYNFQKGQ4+PhgE2u4Os917GKICJBo5IjSiS0ivLjVnY5maVGggPdaR8XhlIh59Qvs3hieBzP\nPtWZ/Runs/9oMuENPJjx9mYaBLjx2gu9adX1DRq3nkVQs5fw8Y/is5V/vZDAn9G5c2dupaSzc+9R\nLl66yseffAESOY+MbItKrSD+fAqvzfyWAWOqnf7IVv7o9VUUFBTUnCMmJoaEi5c5dews/fr3w8XF\nFWOFCUEhoeJEOja9uWZs2cHbKDTK38lRz/82Lz43jWvxFwh1UhPn64xKIeNQRRWVtjvpcEcqqtBK\npXhKFEwqS6evnRMqqZQ9ReV0dXck0kGDRimnk7cTM6IDMMjBz07JYwEePB3sxXtNG7CoOB+FBGId\n7XjG142R3s7ctplo6WiHt111UzaZVEK5TUAmk2EVRYpMFrRyWS15HRQyBMDBL5DLiddILyi8bw4C\nVNvgF198zc7dB/jooxWMf+JjVq74hR/WH2Vg73n07NmbqKgoXF1duXLlGn37DOTqpQxcXB14751t\nIMpxtvdD7aCh9ZhorGYbp766SGVhFd1ndsRkMd033eoCFkG864+6Sn0k4U+w2WxotBpe/Gkkjh53\n0me+nroDc4UJXYkBo96MXC5DEMHBSUVxfiXNuzZAl68nKMqDVr1C+WjaLt79dhiZN0v4ZulxJBIJ\nPR+L5OzeFEpyK+k8JAK5QoYgiOz69hLO7nY0jwtEEETOHL6NQiFDo1VSmKvD3dsBJxcNyVfy8A5w\nwsFRTVZqCS26NMBosDDjw34olDLyM8uZNfR7mrTwRRBEOgxoROfBEfzybQJnD9xm9upBv+5LgBWz\n9hF/KIudO3bTrl27/zpMunv3bsZPGIMgWAiP9MLeQcWFs6m88d0QXL3tebH3enq91Y1rO27Rzr8j\nKz7+zyXievXrw76jB8FgAScNirF3SrKKVgHbyjPkZeXck8Zv95q6Zg9/RF2U0dfHgy9XTaNv75ZA\ndWQtNu55mkd44u/jzLJVB3G0VxHk5UhiShGhIV4IViutYkN4/unudB+6lA/fHMTuo8ls23eVgb2j\n0WrVHDiSiIebPVeT8xBFkeH9mrNj3xX8vJ3JKahAEES83R3ILdQREepOckoRUqkErZ2KCp2Rbp0i\nOHMhFRcnDQ1Dvfjpq8m15PaKmolgE3BxtiM9q7qEZf9+fZg85TkiIyPvWQOykydP8vLM6Zw+dR57\nBzXjZnek/+PVTkJeRhnTB/9Abk7+n+ZcK1QKBIUEubsWocKENtoHS2EV5lwdkkorZuPDd9NRF23h\nt9RVGd20Gh5v6MGijg0BKDSYab3uNApBZJSbM0UWGxuLy7CJIg5I0CHSRqWlRCmQZ7IQbq/mtsGE\nRRAxWG1IAYVUirtGwYgwL1IrDBzOKkUmQKUgMDLQjVNFOgpMFvr7unK2WEdapYnHAt05UFhek1qU\nZzDTa+9lGtir2dilCWqZlEqLjV77rzBwwmSWLl16V9KK/luOHTvGF19+TmVlBf36DqKgIJ+t23/C\n3t6eyc9MY/jw4ZSUlJCenk54eDj29vaIokj3nt1JqbzF4Pd615zrzNfxRMgiWfPlf9+TpS7xVyIJ\nb51+5q7L806bz+ukbd6zEqgPIqWlpVgtVjQOtf8MNU5qUuNzUWmq04QsZhvNe4VSeKsEQRSJ6RbM\nTx+cISWpkMi2/giiyOzHNmE2WJCr5EhlEg5vvUFBehlKlZy0tDJc/R25tPcWFosNXbmRUp2erJsl\nGPUWPBs5kn69GJlMQvOOAVw9k42HnwPtBoaTcqUAaYaEa+dzmL1qIApl9YqHV4ATvR5ryo418Ux8\nvTM/LD9NoxhveoyI4tBP15g5aANt+4SRdC6filwbt26k1Kpe8t/Qp08fbt9K59tvv2X2azNp0s6b\ndzePwMFFzbGtyQiAe4grjfuFsmvJ7j891/NTprH/xGFEVw2Um7BdykXa1BsEEduxVEQJODo6/iNy\n1/NwkF9QQrcuzWueS6VSunVpzoYfDlGhM2Kx2KjUm7mQlIudRknvbk1Z/c1hCvZfpUGgO+5ujsxZ\nto/wcH9EUYpPoD9hob5s23OZLlGh7Nr2LhIJzHn7OwRRQmxMCF9N6M6A0R8xYUwnhvSNZvprP6BU\nqXh+QhfmfrCLq8fn4uigwWYT6PvoB5w4exuj0YJaXd1s8VZqAZVVJtRqNcMenUDv3r1p167dfakq\n0q5dO06eOIsgCPTo1ZVLx7MJifCkstzImsWneOqpsZw6dYrY2Nj/aHvdevXgVEYCaJU4jwvHkFSI\nOtwdpZ8jFR+fv8ca1VPXMZgtPBcTWPPcQ6NkdGMfLmWUkmyzcqZch0JSvZkYqQTRauMyJgKlSpBC\nn2hfNlzKpm+wO7PbhHAsq5Tn9yVxYkRrtIrq/8TlCRnMPZvCvp5NydabOVao40yfaOzkMhZcyUBv\ntlFisTItwo9AbbXdeWuUvB3dgLmX0mmx/SJNnO24WFrFE2OeYsmSJXXSQQDo2LEjHTtW78MaMLAv\nFaYMnpzRiopSA6/MeYHMzHRefPElXF3vdIc3GAwYTUZyLueyfc5ewjoHk305j9wzBaw/s/F+qVIn\nEOrgzfu9ot5J+BMSEhJQauSc/OEqnZ+qXkkrya4g+XgG7gGOVBQaQBBx8XWgKKuC9OQiRr3agcST\nmVRWmGjYuyErZx/Ezc8RURQJ6hRM4rbrjPtsIM6+DqyfsYuGLX3p+uu5A5t5seH1g7zwSV+K8yrJ\nSy9nxdGnsHNQMaX91zzzbldEEZIu5LL4x1FIZdVVijYvP8u+9Vex/aaYr81io0FDd1bPPYxvA2ee\n7/stao0Cm1XCoyNG4aHxoN+kJowYMeIfLyOq0Wh45plnaNGiBYOGDGDBmO1YbBYMBiv95/VEIpVQ\nkafD28vrT8/TpEkTZDYJ1jITeGoREvMRTqWDTUTi54hCoaCgoIDAwMA/PU89/zvY26s5cCiBfn1a\nAdWRhJ17zlNQpEOtUqBUSFGrVVisIhOe6My+w4kIwIsvDWfRwu95fEQHjp68jtlsZfWq6Tz+WFdS\nUnKZO+87Pl/xbM1mwOlTB/D9pmN88eFY5i3dwaghrXh5Si8AsnLLWD5/BMtWHaRF8wasXHMEs8VK\nn25RvD1rMCPGf0a/0ct5cVIPKnRGXlu4jfHjJ/Lx8hVIpXUjC1QqlbJ9604WLlrA6jc3o9Fo0Chc\nWPPt1+w6so3clCKWvL+Upyc+/btjV378Ka3atqaktBBtrB/aGB8kGiW6by4zbuy4+6BNPXUZlVJB\nkcGCn/2dfjo5VSaOlujQSKWYbNUViiKcNGRWGbFXy5ndKZy5h27Qxd8Fk01EEETmdQxHIpFwpVDH\nkBAPsiqNBNirsVPICHexI8hejYNcxrbMIoYFuqGz2EiuMJClNxOgVnCgoIozpZW8Fp+KRi5lVLAn\nrdzsqbLakCpVuMR14tSChURGRv5nZeoQFy5c4NKVi/xwYjLyX1OmwiO9mDx4PlOnPler/0nfAX25\nEH+eTtPbc/nnRM5vuISdmx3BocGEhITcLxXqBLb/XR+hPt3oz1izZg0vvv0ipnIjEpkEqVSKUWdE\nFESqFxAktJ7YirNfnkcul9J0VDPS9t2kstRIUNdgpDaRFk/GsHHCT7j4OKBy1dCkfSAxgyJQqOUs\n6v41z34+iOzrRdi7qhFtIr98eJrX1z/CB8/+QmhTL1r3CuHqqSx++SqBVz8fyOq3D1NepEepllNZ\nasQv3JU+Tzblh6WnCWvmxczl/bFzUJGaVMickRtRKVWMHPEYLVu2xMnJiaZNmxIaGnpPVyitVis/\n/vgjE5+ZSPvnWhDeOYSC5CL2zjuKn3cAzZo146UXZtCyZcvfHWsymfDw9qIq1g3haBo094HscrBT\nIg11xeFiMYW5+SgUinumz72irtnDH1HXZBRFEY1GjZ2dki6dmpKZVURxSQUmk5XSUh1KpZwmTRqQ\nmJjK5p/fZsigtwgJ8ab/wDYUFpbTo0cs77y5Fk8vF06cSOSLz18kPNQXhULGyMfm0zgigMoqI0MG\ntKZFdDDjJy2nS8fG7D9yDW8PBzzcHbl+M4/KSgNBAW6kZhRhMFrp2a05oSHe/PDjMdq3CmX3gStI\nZTJkUikRjZvw0suvMmTIkPs9fX/KizOmc/TaHoa93QG5QkZhehlfTNrFiSOnaNKkSa2xhw4dome/\n3kgclNjKDEiUMkSrQGBAIMlXkx6Kuuu/pa7Zwh9RV2UMC/TH3ljB5z2asCutkN1pxSQWV2Ky2lDJ\npCCRcP7ZTsR8epTuoe608HUmvUxPlcnGz0m59G3oSXxOOR0DXBgW7sV313LZnVqEr4OaEr2Zl2OD\n0MqkvHEmBYVUAogIYvUKcZCjhuslVahlUlw0CgaGefJqmxCqLDZePnidc7nlPDJmPJ9+9tn9nqa/\nzHfffce3Py5j7srBtV7vF7WMK5eTarooJycnE9MyBoWTHEuVhab9G1GRp+P2yQysJhsGveGhs9m/\nkm706onfL4T80yxqv/p38qxZs4bVq1cjkUhYvnw5MTExtd5/77332L9/P1arlTfffJOuXbv+43LV\nRxL+hMDAQCxVZtSudjR9Mga5Ws61jZcpul6IXC3HYrRQkavDPcyNqmI9vtHenP/qAk1HRhHSJYR9\nb+6n7aTWuAa7kJ9ciLpYz4GrBexZfhrPMDckcikrJ+8gIM6fyvxK9IWVGMqNvDrgewKivYk/kcnp\nPbdpOagRcqWU5TP30X5UJCd+SGT0/G6EtfLj5tlsvptzAEEQKS/SM67NapzdtJj0Aqs+W82YMU/d\n72lELpczatQogoKCmP7yC3y+ZB1KjRK5uxZLDxdOFV6na+/ubN6wiV69etU6VqVSMf/debz4yksg\nASqMSOICEcv0CEdSeeaFGQ+lg1DP30MikeDt7YGTs4qiUh2vvj6KoqJy3n37O2QyKTabQGRUA27e\nzOLmzWycnbU0jPCnY6emPD/tE16cMYz0zAKyc4pRa5Rs2XGC5KQsLFYbVkHgsae64+xiz4qPtvL9\npuPkFeoIaRTKx0N7MHb8YkaM6MoHy9ow9NH5hIb6IVeqeHpcL8aN6Q7A7JeHERo1mYGDh/PKK68Q\nERGBXP5gXIY3/LCBJz/uivzX9A2PIGei+4aycePGWg269Ho9AwYPRFRKUHlq8X27G1KNAn1iARnL\nT1FQUEBAwN/vFF3Pw0ez6GgO7dlN983n6R7szrS2IZzPKWP1hQwsgoCIyGv7r9OpgSupJXoGRnjz\n49UcOgS5EOhqx/nccl7pFYFEAlN3JaFRykiY1YNAFztSiqvo+9kxKoxWJsYG8lbncD44ncKBW4V8\n3L0xgY5qYr45RZyXIxcKdCzq3BCJRIKLWsGqPpGErT7B3Hffvd9T9LeIjY3lxZdSMVSZ0fzaY+ha\nfDYqlbrWPr7MzEzUjiqqyqp4ZtMoNI7VEZ1re2+xb+mJB+Yadbew3IdQQmlpKcuXL+fMmTNkZWXx\n5JNPcuzYsZr3d+3aRUVFBfv27burcvxvf/P/H2JjYzFWmOj5QX/s3Ks3Lns08eTn0T8A0PjR5lTl\n6ChKKcGvUxC75+xDrpaTcT6brPM5CILI+jE/Iooivh0aoEstpctrXdB62XNjSxLFGy4x7KthaN3t\nADj/xXmu/pTIEyv7I5FK+GH6TqZ/P5LC9DKSjqTTbnhjzv9yk54TY2kYV72JsVEbf7qPj+H6ziIm\njHuakJAQQkNDiYiIQK1W/7Fi94m2bdty5sRZtm7dytOvTqXB6+1rOkorPbTMePVlrva6/Lvjjp88\njs1gBi97JL2qw8mSACdEOyW7D+xj8b1WpJ46TadOXTlwcBfHTy+rSQ1q1jyEnl1fJTDIgyOHE3D3\ncOKrL3eh0xkwGs08M2EZMrmUIYPeoklUEMWF5Rw68R6ubg4YjWZCfMex8osXqCjXExTkycafXiPI\n90menTwQfz8PPl+9g25dmnE7NY/Zb6wlO7sYjVrJxYTbHNk7v0Y2NzdHHhnUjhat44iKirpfU/S3\n+JeT9e8INrGmFOq/2L9/P1InFWKBEa8nY5DZVd+caKO8sI/2Yd26dcyePfueyV1P3WfGrFfZ8ctO\n+oV7smFEdXGKoU18cNUoWHziNkaLDbNN4GRGCS0DXHlp11VUcilrE7IQRVj8SDPkUikdw9xZfy4D\nQRTpvPwIIe5aXu3eiGfah/DuniROZJUQtfIoOqMZuVRK780Xqs8tiGRUmfBzUNfaZ+ColOOs1aDT\n6XB3d/9P4tdZGjduzOBBQ5gydB2PPNWcijIjP3x+nmVLPq5lty1atKCiQEejbsE1DgJARLcQds47\njNFoRKvV/tFH/E9wP9KNzp49S8eOHZHL5TRo0ACdTofFYqlZFN24cSOurq706NEDX19fVqxYcVf2\nZ9aN5Nc6SmFhIU7uTjUOAoBMKcM52AVzlZkbW64hkUtQaBWIFpGwYZEoHFVETW6NUW/GvZk3wYMb\nYzXZKLiQTWj/hmQeTePm1iQsejNeUV4cWnCYDY99z763D6ByUuEa4MjJtQmsmbAFY5WFpcN/YOvS\nk1SU6Dmw5hJ6nRkXX4dacrr4OuAf6M/MmTMZNmwY0dHRdc5B+HcuX76MspFTjYMA4BjlxY1ryb8b\nm5CQwJbt20ApQxLoXHujmK8jN67//ph6/reJi2tDXJuIGgcBICa2uit3eloBRUUVpKXm4+buiNFk\n4eatbARRwM3dgbKyChKvpKGvMtE6+gWCvJ/i2QkrkMmkvPnaWo6fuMS4MUt48rHFaDQqvl6zmy07\njqOr0rPvQDwBDXzoP6g9ZouVCRMH4OrqQHpG7TK/GZklNWH+B4knR4/hwGfxmA3VPQ6yrxdxaXcK\no0aNqjVOIpEglUkRBRGpuvY6lNROQW5u7j2TuZ4Hgw4dOuDp5kKvsNpV6vqEe+KqUaKQyziSWoRS\nJuPIrUIEEQwWGy2CXLFTyfn8ZCrH04rp/MFhruSUM6ptA46/1pPne0fw9A8XOXizEAeVnFe6NeK9\nflHIZTK2PBFH6ks98HfSsKp/UzY/2pIrhTpulVbVfP6e1CK0jk4EBQXd6yn5x1i18gvemrOYW+eU\nGHL92LZlJ6NHj641xsXFhbZt2lKUVlrr9fI8HTK5tNbehf9FqlPT7u7jt5SUlODicqdcvbOzMyUl\nJTXPc3Nzkclk7N+/n7i4OBYuXHhXdK+PJPwJgYGBCCaBsvRSnIOqvyyzzkRZWilxb3Tn7PxDiCo5\n5kozpWkl5J7NQjBbOfnaPhSOanLOZMLpTBybemIq1HPpywt4dw1FMFnJP56GVC4lYlIcIaGuFJ3L\n4sI38UglEnxaBzB07XC2P7uV3rM7E9wmgPXPbCGwuTcOHlpObb5G4w6BSKUSBJvAhS23GT902n2e\nrf87UVFRWL6vQBTFmpv+isR8whs3/N3YkydPgpc93C5ETC2BVv53HIWMMjy9H77Sp/X8d8TFxbFg\nwduYTBZUqupVl3Nnk3F1c+CV10bw3TcHuXI5ndBwb44fTaRZswAO7LsKgLevC02i/MnPK2fe+6Ox\nd1AzeexKGjb2Y8ve2SgUciwWK6MGLaGy0sBXa2cwYFAbOrZ5iW++nc3gwe3ZsOEgbdtGMnnyIIqK\nynlywod89tEk/HzdWLFqF+mZJQwYMOB+TtHf4p2355I+IZ3FAzfi4ulIZYmBlZ+sJDw8vNa4Hj16\nIJSZkCikFG25hteYGCQSCeaCSnSnMun2Qrf7pEE9dZkhI0Zx8PDPjIu5k4p2PKOEWD9nDBYbR9OK\nGNHMh1OZpbjbqyjTmymqMjGuQwgLh1cX/5i1MR6Dxca07o0ACHDVUmWyMmPDRb59tCU9G3oy5acE\nXmofSqyvE4VVJrIrjAxr4oNUImFB9wi6fX+OvsEeVJhtnCjUs3nr9jpTTODvIJVKGTlyJCNHjvzT\ncRMmTGDS1Gc48tkZYodHUVWsZ9eCI/j5+f3Pp/TejUhCdkIO2Qn/ecHE1dWVsrKymufl5eW1qlG5\nurrSp08fAHr37s0LL7zwzwtJvZPwp6hUKt5f9D4vvvIiYUMaodAoSN6eRGDPcDyaeeMW6YVTqBvh\nj0dTeCGb4EeiSFp9jhbL+nP5rf2EPhlN/rE05G5aKhILaLmkH+pf+y1UZZbh17shnu2qq/IEDIig\n+FIutiI9seNakn0+Gxd/J4LbVF8wpTIJ4R2D8G3iyY+nMlj62GZCY324cSqbxqFNmTx58n/Uo64x\ncOBA3l04j8zl53Do4I+5sIqSHbfYuO6H340NCQlBaRIxyyVgtCH+kgyN3KHMgHghh0emPDjOUT33\nhpYtW9KiRWu6dZrJiy8Po7CgnKXvb+LteU8Q1zaC9+ZvZMpz/amsNNClRzOiooMJCfchN7uUC+dv\ns/3n81xMXoqLqz0AWq2KJ8d1qYlMKBRyBgxpReKVLPoPjAPgUsJt+vZtDUBZWSUBAdXO65w5o1Gr\nlQwZ9R65OcUMGjyQgwePPJCbAFUqFRvWfU9ubi65ubk0adLkDyOWGo2GD5d+wDPTp2DMKCN19l4U\nHloMt4qRAIMGDbr3wtdT53ln7lxCA79i+q6rDG/iy4XcMpaeTGHrU2345GQKEe4ORPs5sfZiBise\njWHyhgukFFcxuesdJ7Wkykzb0NppQZG+TpisApHe1RH4KosVp18jXFpldRnzYr0ZD62KsdEBdGng\nRvd15xgy+imuz537QKYZ/RFJSUms/uJzSstKGDRgCIMHD67l/Py8/Sfajoul4GYxa8ZuRm2vwifS\nEy/x3vRnqcvcjRKoPs198Gl+J6J8bm18rffj4uJ4/fXXsVqt5OQOiXOpAAAgAElEQVTkYG9vX8tZ\n69KlC+fOnaNbt26cP3/+d4s1/xQPrnt8j5g4cSKbN2wmccNlcq7kEfFkDI3HVO8wN5UZUNgrcY/2\nwZBXiWdrf6xVZiRKKT59GlJ0Lpug4VGUnsvCqZFHjYMAYDNYsQ90rvVZSmcNzgHVEQupTILNeif/\n1y3Yheyr+SjUckZ91J+Ok1uRmVxCx5ZdObjvUJ1OL/otcrmcY4eO8sKQZ3A7ayM0z5VVy1fSu3fv\n343t2bMnvk7uIILk0abVexFuFiHqLeCspnnz5n/wCfX8r7N58xYCAyKZM+srzpy5xhdrp/Po4505\nuD+BqKYNcHZxQK830bRZECXFOjp2ieT6tSw6dYlELpPi7HLHVh0d7Sgq1NU6v15vwmS0UFVlBCAi\nIoBjx64A0KdPK7ZvP0lGRj5SqZSXX36UadOG0qVrZzZt+umBL9d7+/ZtprwwFQ9vT1q2bcWBAwd+\nN0YQBJya++E/pyteE1vh1DWEoEW9kUmkVFZW3gep66nruLm5ceHyVX6+XcqUX65wtaiSX8a1xUkt\nZ9eNfMw2AReNEqVMilYpxyKIiCLklRtrztE+zJ11p1IR/i1/4/tzWQQG+PHjlepV24GNfVh1Lp1K\nsxU7hYxRTf0Yt/USGeUGdCYr667m4uzpzfLlyx8aB2HPnj2079iW5MrjGLxSeOn1aYyfOLbWmKuJ\nV7FzVtPv9S5M3f4kEzaMJLR9INI62gviXmIWxLv++C3Ozs5MmTKFzp07M3r0aD766CMuXbrEkiVL\nABg7dizXrl2jW7durFmzhjlz5twV3esjCf8HevXqxbBhwzideQGXRh4IZhu3tyZhNVpxjfQiY+9N\ntIFO6PMqkWsVSOUyBLMVqUKGaBGQyqUY8nS10mvsQ13JO5qKQ3C1UyAKIkKBifz0YqqKqvBq6o2+\nRM+1PTdo3CucmGFRbHpuB1KplMBYH/KuFaHLMrL052UPZChUq9XSJq4N7y9biqCR8cz0KSxcupjd\n237B19e3ZpxMJmPPjl0Eh4WCTAKiCAYrmG1IBLC3t7+PWtRTV1EoFHz33XratYvDaLRSWlLJonk/\nsOrTXaxd/xLTp65i7qInmPvGeua+9zhHDyXSOCqAk8evo9EqOXrwGp27V9dC7z0gmjkzvqNpdBAx\nLUO4eO42X608RPv27Zn27GcsXjqeGbOGMfrx+cxfMJEGDbwIDvYlMnI8gwd3JCe3hNTUAvbt+/3N\n9IPGlStX6D+4Pw3HNaPT5L4UXc1n6KND2b9rP61ataoZt3HjRsoTsjB+UIWlSI86zA1RBHtHh3qb\nrec/EhoaypmLl2jTIoZLuRW8ezCZY6lFtPB1plBvZsvVHEa1COC9fdfxcVBjp5Izc+NFvpnYlgBX\nOxRyKVdyKui67DiDmrpzLrOK+BwDX32zjsdGDCOxyEBDFyVFRhsNPzxEt0b+nM8qx87RmbbfnKfS\nYGBAn97sWbfydxvyH1REUeS56VN5Yl57IjtUL1C0f6QR7w75mYSEBKKjo3l/yfukp2WQuSyLM+sv\nEzu0CQ27BnPyq4ssfmPJfdbg/vObeg33jHHjxjFuXO2+Mv9aGFUqlaxde/e7YNf3Sfg/otfrmfL8\nVL5f/z1mswk7T3uCh0VhKtGTti2JsCeiydx9A/f2DXCN9eXqgsM0fLoVGT8nom3iQcWlfByCXWgw\nPAqrwULG15eozCjDvbkvymB7qi4WEeDgy6D+A1m8bDGBnYLQ5ejIvZKDvZMWwSrg7xtAaGgIt1Ju\n0SKmBW/MeZOwsLD7PTV/i8rKSnwD/RCHNkQR7o4oiFgPptICPw7vO1gzThRFxo4dyzcb1oGjGjQK\nJLG+YBUQT6QzrNcAfty46T5qcveoy/bwL+q6jOXl5Xz00Yd8+dXnVFZWERrmxfVrmUQ1CyI3p4TA\nBh40i2nA+jVHiIj059aNXDp1a8zObfH0G9QCV1cHft50lr59+nPo8EFKS8pwcXVm/ryFDB06jOnT\nn2fduvXYbFbi2rTG2cmRsrIyevbsy/Dhwzl16hSurq7069fvgUwx+i3jnx7POfNlwkfcaSaVsv06\n4bogNq2v7sq6fMVynn/heSRKOY6jmqPwd8JwMZuq/bcICwnlZtLDWWygrtsCPBgyQnV/nMmTJ7Ht\n558w6PUo5VKMZitu9ipMVgGpVIoolVOhNyCTVPcwstoEoho34sNPVhIfH8+2rVsIC2/IvHnzcHFx\nYcOGDXy+6jOsFivjJz5N27ZtuXTpEhEREcTExNTMS13tovx3qaysxM3DjY/Ojqul24Z3TjKq+7NM\nmDABrZOW0B6hNBkahaFEz4kPjlNVUAlSCZ9/8jnjx4+/jxrcHf5Kn4Qn99z9BpDf9v66TtpmvZPw\nF7FYLOTn5/PJZ5+y//B+ykrLKS4qQiqXUlFagcpRjb6sCjsHO2xmG37+fmSkpoNEQmCDQHKzc1Eo\nFUwYP4FXXp7F0qVLOXz0MJGNI1mwYAFqtZrnXniOHbt3Ymdnx6zpL9OjRw/UavVD1fXwp59+YuJb\nL8ITd5owiRYb+gVHyc/Jw9m5OhVrydIlzJw5E0SqKxyNb4lEXh05EStNiN8moCsrfyhXJx8Ee3gQ\nZPwXFy9e5MqVK2RlZVFYWEhubi7pGbepqNDh5ORE/34D8fHx5fr166hUKpKSksjLy6Z9+0488cQT\nzF84l7179uHm5sJz06bTqFEE48aPwdnFjqLCclq0aMn3GzbV/HYfRrr36UFlrBW/dneqveRfzMG2\nT8fpY6cRRRFXT3fKdRU4Pd4cTes7m1BLvzyHMT4H0XqfluXuMg+CLTwIMv4WURRJS0vDZDJx9uxZ\nrl+/jo+PD4IgUFlZydUrCZw7fYr0rFycnRyIjo4m/uJF+sQFk5ano0An0Lx5c65fOssTHQNIKzKy\n+XQmO3fv+8MGng8bgiDg7efF5E+74RdevfFVFEXeH7WDVR+tobS0lEmvTGLwqkdqjinLKGPHtG1Y\nTVbeevOtWn1QHhb+ipPw+K6xd12e9X3X1EnbrE83+osoFAr8/f1ZOH8BsyteZffu3Vy+fBmZTEZF\nRQUymYwWLVqQk5ODTqfDbDHjYO/AiXOnuJaUhMVqRe6gZtXnn3MtKYmjJ4+hiPHm5rXDbGrSCB8f\nHyo8bHg/H4u1wsTbH86n0lDFnFf+d+qK/2u1QxRF5i1cUO0gSAAPbY2DACCxVyGqZGRnZ9OoUaP7\nI2w9DwyxsbHExsayfv16Nv24kfz8XGw2Gw4OWjIzy3lv8SJsVgG5QoJUKsG/gQsDR8aQGH+Itu0+\nZsyzHfjp2FTycsqZO2MZWenFrP5hAq3bh2Gx2Hjn5Z957vkpfPvN+vut6l2jT48+fLp1Fb5tA2v+\nZPOOZPBE9+oyqCaTiYrSMpBLUfx2z1WoG6ar+fdD7HoecH7ctJG577yN2WxGLpVgsQnIZVI8HFQU\n6Uy8/kRLpg3ux5FLOYxZvJ+rX4/G27V6X9GE9w+w//ghrn8yFI2q+panZYgzM198jkPHTt1Pte4J\nUqmUN157g8UzFzDwhRgc3TUc3ZCMm4M33bp149NPP8Ul1LXWMY5+jggWGyqt4nfd1P8XsdXBm/d7\nRb2T8DfZtGkTT40fi+ipxlZpRjBYEMxWNA1cMK74EKmDCpvOjDbKC2NKCaJKhkQqwf2tzsicNRgS\n89m9ag9e83og+7V5iemnRDIuZdPk1T41N8pKdy3vLVzMrJdmPlRdD3v37o1tYjnC9UIUER416UYd\nOnXEyckJAKvVSnnJnRJgFFQiGq1Ifq1MIZbowWR7oGtY13NveezxUezYsZW+Q5pj7+LCpfMZuLgp\nqdIbiGkVyM3refj6O2ETRNbtmoxUKmXP1stkZxYx9dUeAHh4O9JjYATX4nNo3b463U+hkPHyW31p\n3/gd1nxte6jymf89RWHKs8+yYeN6zr9+BIdmrlReK8PeomHGizOA6gpIgaHBpKWnYbiYjUO/iOrz\nCCKGc1l/XBC8nnr+hOXLP2LJwncI8bTj8c5NuZ5ZxsYTKbjYKXF31CCTy3jl0eoGbInpJYzu0ajG\nQQAI9NTySFxAjYMAMKpjCJM/W3fPdbnb2Gw2dDodjo6OtfYqPjfteTzcPfnok2WUlpYxaMBgXl/3\nBlKplNDQULJOZ2KuMqP8tStz+vE0HLzs0ZcZycvLu1/q1BnM96ObWh3hwdvxWgcoLCxk7MTxeM5s\nS9AbXQle1AuXHqFogl0wZpTjP60totmG38yO6JMK8J3VCbHSjOPgJsicNQAIxQbUzb1rHAQAubsd\n6gCnWn/KKm97TEYjVVVVv5PjQcBisfDmW2/iF+SHh48Hz06dTHl5OVqtll+27UCzNwthxQUsS07R\nyODC+rV3LtwKhYLGTSPBTlEdSQDETVcQr+YjxOcg/pSIRq1+oCo71XP/uHr1Kr/8so19F19l/vKR\nfP3zJKa90oviokomTO1GYUEF3ftGYjbbGDgypuZPtiCvgrDGXrXO5eKm/V3uslT6cOQyi6LI+0sW\n4+PnhUIhp2v3Tly9Wt1HQqvVcvr4aZbMWcwg/94snDGPi2cv1jj2EomEBW+/C4JI1YHblH0XT9WR\nVEo+PoE1pwLRarufqtXzAPL+ooW42Ss5vWQQM4c248sXOrHwqVYoFTK8ndUUV9ypbuSoVVJQZqh1\nvL1GyYVbxbVeu5JeSpD/g9fQ8M9YvfpzAgL9CAz0IyQ0iO+//77W+6NGjeLUsbNcv3qDxYver+nO\n++Y7b6H01LJt6jYSvovn5EcnOLHsOFXFekSbQM+ePe+HOnUKmyDe9Uddpd5J+Bvs3LkT+yaeqH8N\np0skElz6NMRwuwRNQzcEgxWZgwqJTIpdlBfG5EKkGjkS5Z3VRamjCmtR7Rt/ubsWXWI+tl87mgJU\nXM7D28/nrrTbvhc8O+1Zvtuzjg5vxNHr/a4cSz1K/8H9EUWRDh06kJuRzcGtu7l46hwH9+yv1SwE\n4IvPVoHVBk7q6hIDOhPiyXQ4mwVmK81jou+TZvU8aOzevZveg5ri5nGnY/lj49tSWlyF1WojPaWI\n9l0bYbOKJMZn1Yxp1T6EA78kUlF+5+bDZLRw8sgN4s+lAWCzCXwwfw9DHhn0wEcRPvxwGV98u5xX\nv+jFd5en0LCzgm49ulBaWt2NValU8uijj7Jo4SKGDx9ORUUFgnBnn0FZWRlYBJxe7AAOKkxpJSia\n+yCP9CQs5MEstFDP/aO4tIyh7YJRKe7Y1aiOoeSVGbCJIkaLjbwSPQAjO4Wy93wG6/Zdx2YTyCqs\nZMfZLG4XmXll7QVuZJezLyGbsctPMevV1++XSv84u3btYt78t1j742SS85az/KsnmfHSc5w69cfp\nVHl5eRQVFQFwJekqoU/FEjKxJcUlBiyOKho83hxRJkUQRBo3bnwvVamT2ETxrj/qKg9P/so9RK1W\nI5prb74TLTaQSLCWGZEoZVjLjMgcVIgWAWRSJHIZup3JqMLckChlKINdsOVWUrk9GbtuwdjKjdj2\nphHVJJL0d4+j7eCLqLNScTyTTRs2PpAVF8rKyvh+wwYeXTcUlUN1ZZeOL7Xlx7FbSUhIICYmBplM\nhtVqZdDwR7h94xYKhYLJkyfx/qLFyGQy2rVrB2YB5DboGgoFlVBQBRHuoFWSfOHGfdayngcFDw8P\ncjJLa72Wn1uOSi2nvNRAdMsgzhy/RaNIH3ZtuURQmDu9BjYl9WYhVrPAiM6f0H9EM/KzKzl1+DYL\n5r/Hs4+/i4+fC4X55TRq1JgfN312n7T75/ho+Yc892EnghpV14jv+0Qzks8XsHHjRiZNmgRUb4Z8\n7c3XWb58OQIirm6ufPHp5/Tp04eVK1eCUgYWG3bd7zgFpjOZ6Iz1kYR6/hpNIyO5eLuw1mtX00tR\nK2WIIrjaK4mcuJ5hHUPJKKxCplSzbEcmkz88gkqpZNLkyXw79Tnmvv3/2rvz8KbqfI/j75Ok+97S\nVlZBtqIUKQW5iKUEuC0Om8Mmq4KMMqBy74w4l0HcRlFHEcXiRUGgCkMHRmFULlAW6cKAIIvIAA6C\nbVlqodAttE2a5dw/KpEgjhSbnqT9vp4nz0Ny2ub74+ST9ptzzu/3NINf2kpMdDRPvfg6kydP1mhE\n9W/JO4uZPW8IXe+sneK0Z+8O/Pa/BrF06RL69Onj/LpTp04xfvI4jh87jsPuoG/SPaCqXP62hFZD\n4ojoWnvE9JuVB1BtdhzWxjnJQF1pNQWqJ5Am4SYMGTKE3z42g4p9Zwnp1RK1xs6FjMP4tgjFUW2l\nNOdbArvGYjldRvWJi/jEBmO7bMEn2Jfv/rCFwDaROAovM2Xyg5y/cJ5tc7cSFBrMrEcf4+m589i+\nfTvrP95ARJtwpi2YRqdOnbQe8k0pLi4mIDTA2SAAKDqFiFYRnDt3joSEBC5dusSg1BQu945BSU7E\nUlnD0o9WExwUzJ+ee772m3SAxQb/KoYhcaB8v17CtpNEhTWOxW6E+40aNYrZs3/HB+/kMm5qH4oK\ny5j9yBoCg/z46/v/IGlgFzZkfEGNxcYtLSJZkZZL+tu76dYtnnVrNxASEsLmzZuJvyea5W+Pp1mz\nZsyYMYMDBw4QGRlJXFyc1kOsFxcvlhDdIsTlsajmAVy4cMF5/63Fabz7t3Rin0nCEBlA1bELjBk/\nli/3H6KwsBAcKqaMwwSPjkcX7o95dwG270xU6C0NPRzh5d5fvYZePe5k3qr9TB3UiROF5fwmLZca\nq51/fH2ByMhIwqMDOW1vyaiHR/PRhAmEhIRgMpnw9/d3rlL73gr3zymvlYryMqKauf6dEBUdwqHP\nf7iewOFwkDokhdaDYnl4/v3Y7Q4+f+8QQQFB5K87gs7XQFhcNJcOnKNoxykUBRS993046Q6e/Em/\nu8kUqDfpiy++YMzE+/muqAir2QI6HXqDHsWhoipg8PfFZq7BR2fgjviuKDoFH19fhqX8iq5du9K9\ne3datWrcy53bbDZatW1Fnz/0pHn8LQCYzl9mw/SN5J3MIzo6miVLljD7f1/CMuCHVWjVS1WEbTtD\nyfmL5Obm0q9/PzDoapuDMH9oEw5ny+FiFVnbPyM5OVmrIbqVN+TBG2q82vHjx3lgykQO7v8SXz8f\noqIiiY2JBUUlLCyCPv/Rl2HDhlFaWkqHDh3cttS9Jxvx66GEdihn1Iza6SErK8w8OexDNny4kd69\newPQvktHrL9uSWCnH5r0krVHmRCXyqK0NNCpoCooPnrUGjv46MBm59fD7mP9+vWajMvdvCEL3lDj\n9Zw4cYLfPvwQX331FeFhoQxI+RUTJkygb9++ziagKVuwYAGZ29ewYt0MDAY9FouV+4e8yYxH/ocp\nU6YAsHv3bsZOGc397/3KeWaC3Wrn3fsyqKmxohhqJ1dR7Q7CmwdTUXQZe40DW41Nw5G5T12mQE1e\nN97t9WSPzfDIbMqRhJvUq1cv8v51ioKCAgIDA4mMjHTOPlRUVER5eTkdO3b0ytWQ64vBYGDZkmVM\nfHAi7fu3Reev59S2PF740wtER0cDtYtdWf2u+bQi0IcqU+31Gk/OnQN6Xe00qKoDSqprTzfSKyjo\nGm2DINyjS5cufLH3IHa7HZ1O55Wn8bnbG6+/RbIxiW8OXiS6dRD7tuUxfuwkZ4MAUFlZScD3M6E4\nBerZmZ1Vm1NVAb2CWmOrndFIVUBRWLduXcMORjQKnTp14rPsXVqX4bEee+wxPvtsG8bE5+n1Hx34\nR87X3N0niUmTJjm/pqqqCr8gX5f3PJ1BBzqwW+z4KAq2ajuKDiq+u4ytxsafX35Vi+F4nCY8uZEc\nSRDul5eXx5o1azBbzIweNdq5rDjAkSNH6N2vL5ZRnVG+/6NDt/csg1v24JOPNhAUGkJVqA4qLVBh\nAX3tuc7oFEouXiIiIkKrYbmdN+TBG2oUdVdVVcWGDRsoKirCaDTSo0cPl+0zH3+Uvx3ZSuSD3VAU\nBftlCxde2k10aBSn8k5BsC9crgGro7bB91H4zYPTWLZsmTYDagDekAVvqFHcHFVV2bNnD8ePH6d7\n9+4kJia6bDebzbRo1Zz/fLYvrbvXzux0fOtJtr3+DxwKqAZQzPbatWL8DNiqbZw8eZL27dtrMRy3\nq8uRhD4Z49xez57xf/XIbEqTIDT3/Isv8Mqrf8bQNhKdqYZwXQC7c3bRsmVLgqPCqbwrFtpG1DYH\n58qh3MIt5xx8V3BG69Ldyhvy4A01ivpXVlaGMXUgBRfO4tcilIqjRcz87QzOnjvHXzMy8L2zOYFj\n4lEv1+CosVH5/kEm3zua9PR0rUt3G2/IgjfUKNxn+/btjB47mtiOzbDV2CnOv4hZsZGwcAh6fx8c\ndgenlnxOyzbhHN1wjMLThc6j/o1NXZqEu9bc7/Z69k1Y65HZlCZBeIS8vDyysrKIjY0lJSXFeepW\neGwzym8Pg7ir3qiOFMG+sxw7fKRRT8/mDXnwhhqFe6iqyq5duzh9+jR9+vThtttuY926ddz/4ERC\npvXE0PqHFZfNewrocNqXrw5+qWHF7uUNWfCGGoV7VVZWsmPHDnx9fZk4dRKhqbfSfPAPFz1fPnWJ\nvCV7qSk1U22qbrSnTNelSUhcPdbt9RyYtM4jsynXJAiP0K5dO9q1a/ejxytNl2G/CZoFQrOg2ilQ\nDxVCgIG3Fi9mydtva1CtEEJRFJKSklweO3PmDCjgMNW4PO4oM1NVaUUIoa2goCCGDx8OQHVVNQHl\nZpft1nIL5jIz2B2NtkGoq6Z8TYI0CcKj2WxWiA2DTf+qnazYRw8hfuCrZ+++vVqXJ4S4yieffAIW\nG9Ubj6OPDEAXG4ztxEUse05TFhL+8z9ACNFgut7RlUNbDxHaJYaw+FiqCyvISz+Af5AP1WXmn/8B\nTURNE14oQZoE4dlUFc6UQXwsRAXVXpNQaIIKM7fd1Vbr6oQQVykoKAAUHBVmTO/sdZn+1GyWPzqE\n8CTvLF5Cr969OLl4D3aLDRRQdDpsqgO7VRY+vEKrdRLS09NZtmwZiqKQlpZGQkKCc9vatWtZvHgx\nOp2OqKgo/vKXvxAQEFDvNcixJOHRFJTaV+nxYthdAOcvQ7UVrHaWLPH+1W2FaExmzZr1w5omPjqU\nML/aRl+vY/x49881LoS4cT169EDRg6PGRlSbMKJvi0SnqDhq7OgU+fPwCrvD/bdrlZaWkpaWRnZ2\nNqtXr659b73KyJEjyc3NJTs7m/j4eFatWuWWscurQHi0RQvfBNv3XbzZBuUWUCEqPLLRzroghLf6\n/e9/D6go/gbUKitUWkHRgaqydOlSrcsTQlyjV8JdKDqF0rPllJ+rAAcoOqXRLnp4M+yq6vbbtfbt\n20dSUhIGg4G2bdtiMpmwWn+4ruvqRQTLy8uJiopyy9ilSRAe7fHHH2fuH+eCg9r51nVwe+c4ii8U\na12aEOI6zp/5jmCDPyigOlT8fXzJP5knC9cJ4YH27NnD4IGpKCjUVFlBgYUL3mDEiBFal+Yx7A61\n3m+Vxy9w6e/HnLdrlZSUuKwDFR4eTklJicvXLF++nG7duvH55587L0avbzIFqhAeyhvy4A01CtEQ\nvCEL3lCjEA2hLlOgNl9yn9vr+W7G313qyczMZMuWLbzxxhsAJCQksG/fPpcjCFe89tprWCwW5s2b\nV+91yZEEIYQQQgghrkN1qG6/Xat3797s2rULm83G6dOnCQ4OdmkQLBaL899hYWFumxhCZjcSQggh\nhBDiOq73R7y7hYeHM3PmTJKTk9HpdCxatIjDhw+zbds2Zs+ezWuvvcaOHTtQVZWwsDBWrlzpljrk\ndCMhPJQ35MEbahSiIXhDFryhRiEaQl1ON4pZNMzt9Vz4r089MptyupEQQogf2bp1KwPv/U+6Jt7J\n088+g8lk+tHXFBcXc/r0aY/85SaEEPVBVVW33zyVNAlCCCFcrMlYw8iJY9kTVER+d1/e/PR97jH2\nw26vXWCppKSEQYNTaN3uVuLi76Bz19s5cuQIqqpiNps9+peeEI3ZkSNHyMjI4J///KfWpTQaDpvD\n7TdPJU2CEEIIF3+YOwfu64RvQgsMt0WiG9mZgtIitmzZAsD4yRPJPX8cy8R4qifewclbrPRJ6ktw\nRCgBQYH4hQRy7733/mjKPiGEe9hsNkbdP5p7BvZjzpLnuHvAPYweNwabzeb8mry8PP77id8zdOQI\n0tLSqKqq0rBi76HFhcueQpoEIYQQTg6Hg3P5Z9C3CXc+pigK9pZBfP3115SWlpK1M4uaXs1RDLra\n9Q/ioqk02LH2bk7AnGR0Qzux5bNtxDS/hc8++0zD0QjRNCxfvpxdx/bSdWEKbR5LJH5hKrn//JwV\nK1YA8OWXX3JnYgLpRzezK/Qsz6xYQKeuXWh1WxuatYhh8gOTqamp0XgUnkmaBCGEEALQ6XR0uL0z\ntm8uOh9T7Q5035aTmJiI1WpF0Smgv+bXR4ABJcQPRVHQd4jC0LMl9jYhjBl/v/M0JSGEe2R8tJbI\nlLbofPUA6Hz1RKbcSsZHawF48qk5KCm3EjC8MwF3tcbvN925oFZQ1d6XwDEd+dvOT4mIiaKsrEzL\nYXgkaRIaUEBAAEajEaPR6OxwG5OsrCytS/jFZAziisaeV/D+14o76n/7jbdQPj2JNTufmkOF8Jej\n9IpPIDk5mZiYGOK6xKE7esH59WqRCYor0bf7YYVQJdQffPRctlZz9OjRBh9DU9XYM9sYXivuGENI\ncDC2StcjAbbKGkKCgwE4eOAAfnfEOrcpioJ/QktQFEJ6tKDtU/2prq5m5qMzb+j5GsN+uFHSJDSg\nVq1asXPnTnbu3MlDDz3U0E/vdo0hODIGcUVjzyt4/2vFHfWnpKSwO3sX429Lxmhryxv/8yKbP/m/\n2lOLgL+tWcstBVZCPv2WkMwCdJ9+jS4mCL7/FFO12rEdKoTWYdRcriYiIuLfPZ3X7wNP0tgz2xhe\nK+4Yw2PTH6X4k5NUnikHoPJ0GRc/PcVj0x8FoEPHjtTkudNAHqIAAAmbSURBVF4jZM0vwe+W2iZC\nH+CDX4sQNnz89xt6vsawH25UU75wucEXUysqKqJ///5ERUWxcOFCbr311oYuQQhxgySvTVe3bt14\n752l193WsWNHTn+bT25uLpWVlSxfvpwNGz/G/M5edK3DsOeVQmww5JeCCq1bt27g6psuyWzTlJqa\nyktPv8BTz8zD5rBj0Ol56YX5pKSkAPDKn+YzbNQIqs129C1CqN57GtuZcsIeuQsAm8mCpdBUeyqh\ncNGUZ2tr8CahoKCAyMhItm7dyrRp09i+fXtDlyCEuEGSV/FT9Ho9/fv3B8Df358NH29ALavGbrKA\n1QGXa0CvgAd/StYYSWabrpkzZvLwbx6muLiY6OhofHx8nNuMRiNbN27hxVdfJvOdrTisdvQBPlR8\nfgb0Chc3fg0KqHL90I948ulA7qbpissdO3bkm2++cd7v0KEDp06d0qocITxK+/btOXnypNZlOF2b\nV5DMCnGFp+UV5HesED/lRvOqKAqBTxndXk/V/J0eecSiQY8kVFZW4u/vj16v56uvviI6Otplu6e9\nwQrRlP1cXkEyK4Qnkd+xQtS/pnwkoUGbhGPHjjF9+nRCQkJQFIV33323IZ9eCFEHklchvItkVoj6\n58kXFrubpqcbCSGEEEII4YkURcH3iSS3P0/N67keebqRxyym5o1zO6emphITE8P8+fOB2ivgH3/8\ncfr168ewYcMoLS3VuMKfd+0YsrKyaN68uXNfHDx4UOMKf96hQ4e45557SE5OZuDAgeTl5QF41b64\n3hg8fV9IZrXh7ZmVvGpD8qoNyav2fmlem/I6CQ0+u9FPuTK3szdZsWIF27dv5+zZswBkZmZiNpvJ\nyclh1apVvPrqq7z88ssaV/nvXTsGgKFDh7Js2TINq6qbFi1akJmZSVBQEJs3b+bZZ59l4sSJVFdX\ne82+uN4Ypk2b5tH7QjKrDW/PrORVG5JXbUhetfdL86rVJ/zp6eksW7YMRVFIS0sjISHBuc1sNjNt\n2jTOnDlDmzZtWL58OX5+fvVeg8ccSbgyt/OoUaMoKCjQupwb0rJlS5f7OTk5DB06FIBhw4aRnZ2t\nRVl1cu0YoPaNuF+/fsyaNQuz2axBVXUTGxtLUFAQAL6+vhgMBrKzsxk2bBjgHfvi2jFcmbrOk/eF\nZFYb3p5Zyas2JK/akLxq75fmVYsjCaWlpaSlpZGdnc3q1auZNWuWy/b09HRuv/12cnJy6Ny5M+np\n6fX3H3YVj2kSCgoKyMrKYvr06UybNk3rcm7KpUuXCA8PByAsLMzjD8FdT8+ePTl58iQ5OTmEhoay\nYMECrUu6YZWVlTz99NM8+eSTXrsvrh5DYmKiR+8Lyaxn8NbMSl4bluTVM0hetXOzedVixeV9+/aR\nlJSEwWCgbdu2mEwmrFarc3tDNcwe0yRERkYCkJKS4jWfclwrMjKSsrIyAMrLy4mIiNC4oroLDg7G\n19cXgIkTJ7J//36NK7oxVquVcePGMWfOHLp06eKV++LqMcTFxXn8vpDMegZPf51cj+S14UlePYOn\nv06up6nnVYsjCSUlJS7/r+Hh4ZSUlDjvX7p0ybk9LCzMZVt98ohrEm5kPnZPdfW5asnJyWzYsIER\nI0awadMm52qknu7qMVRUVBAaGgrAjh07iIuL06qsG+ZwOJg0aRL33Xcfw4cPB7xvX1xvDJ68LySz\n2vLmzEpeG57kVVuSV2394ry+s9ftNQYHB7vcv7oRg9pm7Eqjf2V7aWkpbdq0+dG2+uQRTYK3zu38\nyCOPsHv3biwWCwcOHOCjjz5i48aN9OvXj7CwMD744AOtS/xZV49h//79pKSksGLFCgIDA4mOjvaK\nWTDWr1/Ppk2buHDhAqtXr6Zbt268+eabXrUvrh1DfHw8Xbp08dh9IZnVjrdnVvLa8CSv2pG8au+X\n5FWri5Z79+7NvHnzsNlsFBYWEhwc7LyWAmobtU2bNnHnnXe6tVGTdRKEEEIIIYTwICtXruS9995D\np9OxaNEi9Ho927ZtY/bs2ZjNZh566CHOnj1L69atWblypfP0qfokTYIQQgghhBDChcdcuCyEEEII\nIYTwDNIkCCGEEEIIIVxIkyCEEEIIIYRwIU2CEEIIIYQQwoU0CUIIIYQQQggX0iQIIYQQQgghXEiT\n4OXy8/OJiIjAaDRiNBoZNGhQnb7/8OHD5ObmXnebyWRi7NixAKSnpzN//vw615eZmcnChQvr/H1C\nNEaSVyG8i2RWNGXSJDQCPXv2ZOfOnezcuZPt27fX6XsPHTpETk7OdbctXbqUCRMmAKAoyk3Vlpqa\nyscff4zNZrup7xeisZG8CuFdJLOiqZImoZHKyMigf//+3H333Tz88MMAFBUV0a9fPwYMGMCAAQMw\nmUwsXLiQ5cuXYzQaKSwsdPkZ69evJzU11eUxq9XKlClTeP/99ykoKCAxMZFJkybRrVs3PvjgA6ZO\nnUpiYiKvvPKK83sSExPJzs52/6CF8FKSVyG8i2RWNAUGrQsQv9yBAwcwGo0AtGzZktWrVzN8+HDG\njx8PwLhx48jNzeXixYskJSW5HNJ84oknOHfuHHPnzv3Rz7106RIBAQHO+xUVFYwdO5bp06czePBg\n8vPzOX/+PHv27KG0tJR27dqRn59PVFQUnTt3Zs6cOQB06tSJI0eOMHDgQHf+NwjhFSSvQngXyaxo\nqqRJaAQSExPZtm2by2M5OTksWLAAu91OQUEBI0aMYNSoURw+fJjJkyfTunVrnn/+eVRVRVXVn30O\nVVXJyMhg6NChDB482Pl4XFwcvr6+xMbG0qJFC2JiYgAICAhAVdWbPoQqRGMleRXCu0hmRVMlpxs1\nUn/84x9Zs2YNWVlZ9O7dG4fDgd1u57nnnmPVqlUUFxeTmZmJn5/fT57LGBUVRXV1NVB7vuT06dMJ\nCAjgxRdfdH7N1W9Q175ZXXljPHHiBPHx8fU9RCEaDcmrEN5FMiuaAmkSGoErh0KNRiMDBgygsrKS\nBx54gEGDBjFmzBgcDgeKopCVlUVSUhJGo5GzZ8+SlJRE37592bp1K2PHjuX8+fMuP3fkyJFs3rzZ\neV9RFF5//XWqqqp45plnfvSG9VNvZvv37yc5OdlNoxfCu0hehfAuklnRVCnqjRwHE02SyWRi6tSp\nfPjhhzf9MzIzMzl27Bi/+93v6rEyIcS1JK9CeBfJrPB00iQIIYQQQgghXMjpRkIIIYQQQggX0iQI\nIYQQQgghXEiTIIQQQgghhHAhTYIQQgghhBDChTQJQgghhBBCCBfSJAghhBBCCCFc/D9gs5DNgz7b\nwQAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice how changing the window size influences the spread of the solutions and can affect our interpretation. For example, for a 1 km window and structural index 3, we cannot tell apart the sill from the intrusive body. The solutions get even more tangled when using a 5 km window.\n", "\n", "Varying the structural index will give different depths for the solutions. A general trend is that, the larger the structural index, the deeper the solutions.\n", "\n", "Most importantly, we call attention to the fact that the Euler deconvolution solutions **do not** represent the three-dimensional shape of the sources. This is even more evident when we view the solutions in 3D along with the original model. For convenience, we'll plot only the solutions for a 3 km window and structural index 3." ] }, { "cell_type": "code", "collapsed": false, "input": [ "scene = myv.figure(size=(1000, 600))\n", "myv.polyprisms(model, opacity=0.3, linewidth=2)\n", "myv.points([e for e in euler_s3[2].estimate_ if e[2] > 0])\n", "ax = myv.axes(myv.outline(bounds), ranges=[b*0.001 for b in bounds], nlabels=3, fmt='%.0f')\n", "ax.axes.x_label, ax.axes.y_label, ax.axes.z_label = 'x', 'y', 'z'\n", "ax.axes.font_factor = 2\n", "myv.wall_north(bounds)\n", "myv.wall_bottom(bounds)\n", "scene.scene.camera.position = [-10753.852296021096, -59325.007533753123, -22266.66194804628]\n", "scene.scene.camera.focal_point = [16722.015964135739, 13784.075401721391, 4529.0411289607291]\n", "scene.scene.camera.view_angle = 19.2\n", "scene.scene.camera.view_up = [0.12859903242950413, 0.29830909042254711, -0.94576634293543571]\n", "scene.scene.camera.clipping_range = [43526.915602369831, 131500.63847030781]\n", "scene.scene.camera.compute_view_plane_normal()\n", "scene.scene.render()\n", "myv.savefig('fig/euler-solutions-3d.png')\n", "scene.scene.camera.position = [61783.513706029873, -51534.690503972124, -18750.237814442207]\n", "scene.scene.camera.focal_point = [14324.659515610345, 12669.434351699714, 2305.8434486142896]\n", "scene.scene.camera.view_angle = 5.033164800000001\n", "scene.scene.camera.view_up = [-0.14301336238889156, 0.21138117409951956, -0.96688426267807892]\n", "scene.scene.camera.clipping_range = [41498.787075197979, 137750.00692720726]\n", "scene.scene.camera.compute_view_plane_normal()\n", "scene.scene.render()\n", "myv.savefig('fig/euler-solutions-3d-zoom.png')\n", "myv.show()\n", "Image(filename='fig/euler-solutions-3d.png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": "iVBORw0KGgoAAAANSUhEUgAAA+gAAAIoCAIAAAB1XlazAAAgAElEQVR4nOzdeXgb530v+u8Q4AAk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\ngAj8DwqC6+QDQAEKAAAAAElFTkSuQmCC\n", "prompt_number": 15, "text": [ "" ] } ], "prompt_number": 15 }, { "cell_type": "code", "collapsed": false, "input": [ "Image(filename='fig/euler-solutions-3d-zoom.png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": "iVBORw0KGgoAAAANSUhEUgAAA+gAAAIoCAIAAAB1XlazAAAgAElEQVR4nOzdf3Ac53kn+G9zhvOL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\nSUVORK5CYII=\n", "prompt_number": 16, "text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice how the sources for the intrusive body and the sill make arch-like structures that have no relation to the actual forms of the sources. This behaviour is expected and it has been show that Euler deconvolution solutions have a bias that depends on the moving-window scheme and selection criterion (Silva et al., 2001).\n", "\n", "Now, how much of this spread is due to our model not being properly represented by a sphere? One way to test that is to replace our batholith model with a sphere, forward model new data, and perform the Euler deconvolution on this new data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solutions for a sphere\n", "\n", "First, lets create a sphere that resembles our batholith model." ] }, { "cell_type": "code", "collapsed": false, "input": [ "ideal_batholith = Sphere(18000, 12000, 2250, radius=2200, props=batholith.props)\n", "ideal_batholith.center = [ideal_batholith.x, ideal_batholith.y, ideal_batholith.z]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "scene = myv.figure(size=(800, 300))\n", "myv.polyprisms([batholith], opacity=0.5, linewidth=2)\n", "myv.points([ideal_batholith.center], color=(1, 0, 0), size=ideal_batholith.radius)\n", "ax = myv.axes(myv.outline(bounds), ranges=[b*0.001 for b in bounds], nlabels=3, fmt='%.0f')\n", "ax.axes.x_label, ax.axes.y_label, ax.axes.z_label = 'x', 'y', 'z'\n", "ax.axes.font_factor = 2\n", "myv.wall_north(bounds)\n", "myv.wall_bottom(bounds)\n", "scene.scene.camera.position = [-15337.932586926319, -59396.608310493262, -7022.645217992851]\n", "scene.scene.camera.focal_point = [17482.870070805882, 15380.030101355769, 4903.8791935470208]\n", "scene.scene.camera.view_angle = 9.830400000000001\n", "scene.scene.camera.view_up = [0.064932345527732721, 0.12931668910473115, -0.98947510550961171]\n", "scene.scene.camera.clipping_range = [40404.996563304114, 131956.0403000123]\n", "scene.scene.camera.compute_view_plane_normal()\n", "scene.scene.render()\n", "myv.savefig('tmp/sphere-batholith.png')\n", "myv.show()\n", "Image(filename='tmp/sphere-batholith.png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": "iVBORw0KGgoAAAANSUhEUgAAAyAAAAD8CAIAAAAABlf2AAAgAElEQVR4nO3deXhTdb4/8M/J3jal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\nwAIAAADwMQQsAAAAAB9DwAIAAADwsf8PWmyTIgAdWZoAAAAASUVORK5CYII=\n", "prompt_number": 18, "text": [ "" ] } ], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can forward model the new total field anomaly data from our model. To make it realistic, lets add 5 nT Gaussian noise (the same that was added to the original data)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "tf_sphere = utils.nt2si(\n", " utils.contaminate(\n", " sphere.tf(x, y, z, [ideal_batholith], inc, dec) + polyprism.tf(x, y, z, [dike, sill], inc, dec),\n", " 5))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 19 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the two data sets side-by-side for comparison." ] }, { "cell_type": "code", "collapsed": false, "input": [ "mpl.figure(figsize=(10, 3.5))\n", "mpl.subplot(1, 2, 1)\n", "mpl.title('Polygonal prism')\n", "mpl.axis('scaled')\n", "mpl.contourf(y, x, tf_si, shape, 60, cmap=mpl.cm.RdBu_r)\n", "mpl.colorbar().set_label('T')\n", "mpl.m2km()\n", "mpl.xlabel('East (km)')\n", "mpl.ylabel('North (km)')\n", "mpl.subplot(1, 2, 2)\n", "mpl.title('Sphere')\n", "mpl.axis('scaled')\n", "mpl.contourf(y, x, tf_sphere, shape, 60, cmap=mpl.cm.RdBu_r)\n", "mpl.colorbar().set_label('T')\n", "mpl.m2km()\n", "mpl.xlabel('East (km)')\n", "mpl.ylabel('North (km)')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 20, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAlsAAAD5CAYAAAAQjvC9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n", "text": [ "" ] } ], "prompt_number": 20 }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is clear that the data is not exactly the same. The anomaly caused by the sphere is less spread out and its negative lobe has a larger value. However, it is this difference in the anomaly that makes the use of a structural index 3 for the batholith model not very precise.\n", "\n", "Now we can run the Euler deconvolution on the data set with the sphere and compare the results. We'll only use a 3 km window and structural index 3 (the correct value for a sphere) for simplicity." ] }, { "cell_type": "code", "collapsed": false, "input": [ "xderiv_sphere = fourier.derivx(x, y, tf_sphere, shape)\n", "yderiv_sphere = fourier.derivy(x, y, tf_sphere, shape)\n", "zderiv_sphere = fourier.derivz(x, y, tf_sphere, shape)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 21 }, { "cell_type": "code", "collapsed": false, "input": [ "euler_sphere = MovingWindow(\n", " Classic(x, y, z, tf_sphere, xderiv_sphere, yderiv_sphere, zderiv_sphere, 3),\n", " windows=(50, 50), size=(3000, 3000), keep=0.3).fit()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 22 }, { "cell_type": "code", "collapsed": false, "input": [ "xc, yc, zc = euler_sphere.estimate_.T\n", "xc, yc, zc = xc[zc > 0], yc[zc > 0], zc[zc > 0]\n", "\n", "fig = mpl.figure()\n", "mpl.axis('scaled')\n", "plot = mpl.scatter(yc, xc, s=30, c=zc*0.001, cmap=mpl.cm.RdYlGn_r, vmin=0)\n", "mpl.colorbar().set_label('Depth (km)')\n", "mpl.set_area(area)\n", "mpl.m2km()\n", "mpl.xlabel('East (km)')\n", "mpl.ylabel('North (km)')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 23, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAUQAAAENCAYAAAB3vRxiAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n6ti9oMEqAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 23 }, { "cell_type": "code", "collapsed": false, "input": [ "scene = myv.figure(size=(1000, 600))\n", "myv.polyprisms([sill, dike], opacity=0.3, linewidth=2)\n", "myv.points([ideal_batholith.center], color=(0, 0, 1), size=ideal_batholith.radius, opacity=0.3)\n", "myv.points([e for e in euler_sphere.estimate_ if e[2] > 0])\n", "ax = myv.axes(myv.outline(bounds), ranges=[b*0.001 for b in bounds], nlabels=3, fmt='%.0f')\n", "ax.axes.x_label, ax.axes.y_label, ax.axes.z_label = 'x', 'y', 'z'\n", "ax.axes.font_factor = 2\n", "myv.wall_north(bounds)\n", "myv.wall_bottom(bounds)\n", "scene.scene.camera.position = [-10753.852296021096, -59325.007533753123, -22266.66194804628]\n", "scene.scene.camera.focal_point = [16722.015964135739, 13784.075401721391, 4529.0411289607291]\n", "scene.scene.camera.view_angle = 19.2\n", "scene.scene.camera.view_up = [0.12859903242950413, 0.29830909042254711, -0.94576634293543571]\n", "scene.scene.camera.clipping_range = [43526.915602369831, 131500.63847030781]\n", "scene.scene.camera.compute_view_plane_normal()\n", "scene.scene.render()\n", "myv.savefig('tmp/euler-solutions-3d-sphere.png')\n", "scene.scene.camera.position = [61783.513706029873, -51534.690503972124, -18750.237814442207]\n", "scene.scene.camera.focal_point = [14324.659515610345, 12669.434351699714, 2305.8434486142896]\n", "scene.scene.camera.view_angle = 5.033164800000001\n", "scene.scene.camera.view_up = [-0.14301336238889156, 0.21138117409951956, -0.96688426267807892]\n", "scene.scene.camera.clipping_range = [41498.787075197979, 137750.00692720726]\n", "scene.scene.camera.compute_view_plane_normal()\n", "scene.scene.render()\n", "myv.savefig('tmp/euler-solutions-3d-sphere-zoom.png')\n", "myv.show()\n", "Image(filename='tmp/euler-solutions-3d-sphere.png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": "iVBORw0KGgoAAAANSUhEUgAAA+gAAAIoCAIAAAB1XlazAAAgAElEQVR4nOzdfXQb93kv+O8Q4AAi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\nRK5CYII=\n", "prompt_number": 24, "text": [ "" ] } ], "prompt_number": 24 }, { "cell_type": "code", "collapsed": false, "input": [ "Image(filename='tmp/euler-solutions-3d-sphere-zoom.png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": "iVBORw0KGgoAAAANSUhEUgAAA+gAAAIoCAIAAAB1XlazAAAgAElEQVR4nOy9fZAb93nn+W0CxMsQ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\nrkJggg==\n", "prompt_number": 25, "text": [ "" ] } ], "prompt_number": 25 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Even though the solutions are closer together, there is still a spread. Notice that this happens even with an ideal source and correct structural index. What is more, the spread still has no relation with the shape of the source. Rather, it depends on the moving-window scheme and selection criterion used (Silva et al., 2001)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusions\n", "\n", "The simplicity of Euler deconvolution can mislead the interpreter into thinking that the solutions are unambiguous, unbiased and represent the actual 3D form of the geologic bodies. This is not true. We have shown that the results vary greatly depending on the moving window size and structural index. Furthermore, the filtering criterion and how far the sources stray from ideal ones also influence the spread of the solutions. Thus, Euler solutions can be interpreted, at most, as an approximate location for the anomaly source. In some cases, the solutions may indicate the horizontal outline of the source. \n", "\n", "The interpretation of a complex geological setting requires a lot of prior information. Details about the source shape can only be obtained by the introduction of harsh constraints to the ill-posed inverse problem. Euler deconvolution does not use such constraints and, thus, it may lead to wrong conclusions about the geologic source. The key concept is that the solutions must not only fit the data, but also make sense in a geological setting, a discretion that is up to the interpreter to make. Method parameters should be tunned to conform to geology, not the other way around.\n", "\n", "In conclusion, Euler deconvolution is a powerful method for potential field interpretation. However, its results are subject to non-uniqueness and bias, as with any other geophysical inversion, and must be viewed with a critical eye. Euler deconvolution requires little prior information, computational resources, and parameter tuning. Thus, one should not expect to get the same quality of result as one would from a computationally intensive, highly regularized, 3D inversion. In short, \"there is no such thing as a free lunch.\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "\n", "Beiki, M., and L. B. Pedersen (2010), Eigenvector analysis of gravity gradient tensor to locate geologic bodies, Geophysics, 75(6), I37\u2013I49, [doi:10.1190/1.3484098](http://dx.doi.org/10.1190/1.3484098).\n", "\n", "Reid, A. B., J. M. Allsop, H. Granser, A. J. Millett, and I. W. Somerton (1990), Magnetic interpretation in three dimensions using Euler deconvolution, Geophysics, 55(1), 80\u201391, [doi:10.1190/1.1442774](http://dx.doi.org/doi:10.1190/1.1442774).\n", "\n", "Silva, J. B. C., V. C. F. Barbosa, and W. E. Medeiros (2001), Scattering, symmetry, and bias analysis of source\u2010position estimates in Euler deconvolution and its practical implications, Geophysics, 66(4), 1149\u20131156, doi:10.1190/1.1487062.\n" ] } ], "metadata": {} } ] }