{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Basic Waves" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Waves can be found in many different areas of physics, including\n", "electromagnetic fields, pressure variations in a gas, solids and\n", "stretched strings. We will consider many of these as examples of\n", "waves as we go along. However, a general definition of a wave is\n", "rather hard. Waves do not require a medium to propagate\n", "(e.g. electromagnetic waves) though many waves propagate only through\n", "a material (e.g. sound). Waves do not need to be periodic (though\n", "often are periodic). They involve the transfer of energy (though\n", "standing waves appear to violate this definition) and consist of a\n", "disturbance which propagates in time and space. We will now derive\n", "the equation for the simplest wave propagation. " ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Stretched String" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us consider a string with mass per unit length $\\mu$ under a\n", "tension $T$. We will investigate what happens when it is displaced\n", "slightly perpendicular to its length, and derive a \\emph{wave\n", " equation} which will turn out to be quite general. So that we know\n", "where we're going, here is the wave equation in one dimension: \n", "\n", "\\begin{equation}\n", " \\label{eq:13}\n", " \\frac{\\partial^2 \\psi}{\\partial t^2} = c^2 \\frac{\\partial^2 \\psi}{\\partial x^2},\n", "\\end{equation}\n", "where $c$ is the speed of the wave. We will now derive this for small\n", "displacements of our string. The set up we will consider is\n", "illustrated below." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import Image\n", "Image(filename='stringsegment.png',width=300)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": { "png": { "width": 300 } }, "output_type": "pyout", "png": 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"prompt_number": 1, "text": [ "" ] } ], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the diagram above, we show a stretched string, and have slightly different notation than in the main text ($dx = \\Delta x$, $dm = \\mu\\Delta x$ and $x_2 = x_1 + \\Delta x$). We assume that the vertical displacement of the string is given by\n", "$\\psi$ but that the string lies initially along the $x$ axis (which\n", "will give us a _transverse_ wave: one where the displacement is\n", "in a different direction to the propagation). We are interested in\n", "the forces acting on the string given the displacement; the force can\n", "be written, using Newton's second law, as: \n", "\n", "\\begin{equation}\n", " F = ma = \\mu \\Delta x \\frac{\\partial^2 \\psi}{\\partial t^2}\n", "\\end{equation}\n", "\n", "What force will act on the displaced string ? It will be a component\n", "of the tension, which we will need to resolve into components along\n", "$x$ and along the displacement, as the string is no longer purely\n", "along $x$. For small displacements we could write, by inspection: \n", "\n", "\\begin{equation}\n", " \\label{eq:test}\n", " F = T\\left(\\frac{\\partial \\psi}{\\partial x}\\right)_{x+\\Delta x} - T \\left(\\frac{\\partial \\psi}{\\partial x}\\right)_{x}\n", "\\end{equation}\n", "where we are assuming that the tension does not vary with position (if\n", "it did, we would have a rather more complex situation involving\n", "_dispersion_ which we will discuss briefly later in the course).\n", "Another way to arrive at this formula is to resolve the tension\n", "geometrically, which gives: \n", "\n", "\\begin{equation}\n", " F_\\psi = T \\sin(\\theta_{x+\\Delta x}) - T \\sin(\\theta_{x})\n", "\\end{equation}\n", "But it is fairly easy to show that $\\sin \\theta \\simeq \\tan \\theta$\n", "for small values of $\\theta$ (an approximation which has an error\n", "which is third order in $\\theta$ -- i.e. $\\sin \\theta - \\tan \\theta =\n", "\\frac{1}{2}\\theta^3$), and we can write $\\tan \\theta =\n", "\\Delta\\psi/\\Delta x \\rightarrow \\partial \\psi/\\partial x$, which just\n", "gives us the force again. Now we equate these two forces:\n", "\n", "\\begin{equation}\n", " T\\left(\\frac{\\partial \\psi}{\\partial x}\\right)_{x+\\Delta x} - T \\left(\\frac{\\partial \\psi}{\\partial x}\\right)_{x} = \\mu \\Delta x \\frac{\\partial^2 \\psi}{\\partial t^2}\n", "\\end{equation}\n", "If we recall the formal definition of a derivative, we can write:\n", "\\begin{equation}\n", " \\frac{\\left(\\frac{\\partial \\psi}{\\partial x}\\right)_{x+\\Delta x} - \\left(\\frac{\\partial \\psi}{\\partial x}\\right)_{x}}{\\Delta x} = \\frac{\\partial^2 \\psi}{\\partial x^2} \\text{ as } \\Delta x \\rightarrow 0\n", "\\end{equation}\n", "\n", "If we rearrange by dividing through by $\\Delta x$\n", "and $\\mu$ and substituting in, then we find: \n", "\\begin{eqnarray}\n", " \\frac{T\\left(\\frac{\\partial \\psi}{\\partial x}\\right)_{x+\\Delta x} - T \\left(\\frac{\\partial \\psi}{\\partial x}\\right)_{x}}{\\Delta x} &=& \\mu \\frac{\\partial^2 \\psi}{\\partial t^2}\\\\\n", " \\frac{T}{\\mu} \\frac{\\partial^2 \\psi}{\\partial x^2} &=& \\frac{\\partial^2 \\psi}{\\partial t^2}\n", "\\end{eqnarray}\n", "\n", "which has the form of a wave equation with velocity $\\sqrt{T/\\mu}$. A\n", "quick check on dimensions ($T$ is a force with dimensions mass (M)\n", "$\\times$ length (L) $\\times$ time$^{-2}$ (T$^{-2}$) while $\\mu$ is\n", "mass per unit length (ML$^{-1}$) so $\\sqrt{T/\\mu}$ has dimensions\n", "LT$^{-1}$ which is a velocity) suggests that this is reasonable.\n", "Experience with elastic bands or strings suggests that the note\n", "produced gets higher with increasing tension or decreasing mass\n", "density: if the note is proportional to the velocity then our formula\n", "makes physical sense (we will see later that this is indeed what we'd\n", "expect). \n", "\n", "What about the signs ? If the string is pulled up then the second\n", "derivative with $x$ will be negative (we'll have a maximum) which\n", "means that there is a downward force, as we'd expect (and require for\n", "sensible motion). What assumptions have we made to get to this point,\n", "and how might they break down ? \n", "\n", "* Small displacements of the string\n", "* $T$ and $\\mu$ are independent of position and displacement (this might change for large displacements) \n", "* Resolved force requires a small angle between $x$ and $x + \\Delta x$\n", "\n", "So provided we don't make too large a displacement of the string, our\n", "derivation will hold. We will find that the same equation (though\n", "with different displacement variable, and different physical\n", "quantities contributing to the velocity) appears in many areas, such\n", "as: \n", "\n", "* Sound (pressure waves in a gas or solid)\n", "* Plasma (variation in electron density)\n", "* Electromagnetic waves (fields vary as waves)\n", "* Electrical cables (electrical charge varies with time and position)\n", "\n", "The equation can be written as a single term operating on $\\psi$:\n", "\n", "\\begin{equation}\n", " \\left( \\frac{\\partial^2}{\\partial x^2} - \\frac{1}{c^2}\\frac{\\partial^2}{\\partial t^2}\\right) \\psi = 0\n", "\\end{equation}\n", "where the operator in brackets is called the d'Alembertian (named\n", "after the French mathematician and physicist d'Alembert). \n" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Solving the Wave Equation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we have an equation which is obeyed by the displacement of a\n", "stretched string, we need to look for solutions. This will also allow\n", "us to understand the general behaviour of wave equations. We can\n", "start by noticing that we need the second time derivative to equal the\n", "second position derivative multiplied by $c^2$. This implies that we\n", "need the _same_ functional form for $x$ and $t$ but with a\n", "multipicative constant (and dimensionally a constant with LT$^{-1}$\n", "will convert from time to distance). If we combine the time and\n", "position variables into a single variable $x-ct$ (or $x+ct$), we will\n", "be able to write $\\psi(x,t) = f(x-ct)$ or $\\psi(x,t) = g(x+ct)$. We\n", "want to check that these will satisfy the wave equation, so we write\n", "$u = x-ct$ and use the chain rule: \n", "\n", "\\begin{eqnarray}\n", " u &=& x - ct\\\\\n", " \\psi &=& f(u)\\\\\n", " \\frac{\\partial \\psi}{\\partial x} &=& \\frac{\\partial \\psi}{\\partial u}\\frac{\\partial u}{\\partial x} = \\frac{\\partial \\psi}{\\partial u} \\\\\n", " \\frac{\\partial \\psi}{\\partial t} &=& \\frac{\\partial \\psi}{\\partial u}\\frac{\\partial u}{\\partial t} = -c\\frac{\\partial \\psi}{\\partial u} \\\\\n", " \\frac{\\partial^2 \\psi}{\\partial x^2} &=& \\frac{\\partial^2 \\psi}{\\partial u^2}\\frac{\\partial u}{\\partial x} = \\frac{\\partial^2 \\psi}{\\partial u^2} \\\\\n", " \\frac{\\partial^2 \\psi}{\\partial t^2} &=& \\frac{\\partial^2 \\psi}{\\partial u^2}\\frac{\\partial u}{\\partial t} = c^2\\frac{\\partial^2 \\psi}{\\partial u^2} \\\\\n", " \\Rightarrow \\frac{\\partial^2 \\psi}{\\partial t^2} &=& c^2 \\frac{\\partial^2 \\psi}{\\partial x^2}\n", "\\end{eqnarray}\n", "\n", "So this will satisfy the wave equation. The same result can be found\n", "for $\\psi(x,t) = g(x + ct)$ (though in the fourth line the factor of\n", "$c$ is positive), so using the fact that the wave equation is linear,\n", "we write: \n", "\n", "\\begin{equation}\n", " \\psi(x,t) = f(x-ct) + g(x+ct)\n", "\\end{equation}\n", "\n", "This is, it turns out, the most general form of the solution for the\n", "wave equation. It's interesting to note that we can rewrite the wave\n", "equation itself in terms of differentials with respect to $u$ and $v$\n", "(noting, for instance, that $\\frac{\\partial}{\\partial x} =\n", "\\frac{\\partial u}{\\partial x}\\frac{\\partial }{\\partial u} +\n", "\\frac{\\partial v}{\\partial x}\\frac{\\partial }{\\partial v}$) to give: \n", "\\begin{equation}\n", " \\frac{\\partial^2\\psi}{\\partial u \\partial v} = 0\n", "\\end{equation}\n", "\n", "The most general solution for this equation is $\\psi = f(u) + g(v)$\n", "which is, or course, just our solution again. Yet another way of\n", "rewriting the wave equation is this: \n", "\n", "\\begin{equation}\n", " \\left( \\frac{\\partial}{\\partial t} - c\\frac{\\partial }{\\partial x}\\right)\\left( \\frac{\\partial}{\\partial t} + c\\frac{\\partial }{\\partial x}\\right)\\psi = 0\n", "\\end{equation}\n", "which is again solved by our general solution.\n", "\n", "The second time derivative (and knowledge of the physical world) might\n", "lead us to think of a sinusoidal or periodic function as a solution,\n", "but to use this we will need a dimensionless argument. So we divide\n", "$u$ or $v$ by some characteristic length; in the case of a periodic\n", "function the distance between repeats, which we call the\n", "_wavelength_ $\\lambda$ seems most appropriate. Notice that\n", "rescaling $u$ and $v$ by a constant ($u \\rightarrow Cu$) does\n", "_not_ change the wave velocity or the wave equation. Let's go\n", "one step further, and incorporate the factor of $2\\pi$ that we know is\n", "the period of sinusoidal functionals, giving: \n", "\n", "\\begin{equation}\n", " \\psi(x,t) = f(\\frac{2\\pi}{\\lambda}x-\\frac{2\\pi c}{\\lambda}t) + g(\\frac{2\\pi}{\\lambda}x+\\frac{2\\pi}{\\lambda c}t)\n", "\\end{equation}\n", "\n", "We often define two new variables: \n", "\n", "* $k = 2\\pi/\\lambda$ the wavenumber (we will see later that it is actually the magnitude of a vector quantity, the _wavevector_) \n", "* $\\omega = 2\\pi c/\\lambda = 2\\pi/T = ck$ the angular frequency (which is $2\\pi$ divided by the period, $T$, or 2$\\pi$ multiplied by the frequency $\\nu = 1/T$) \n", "\n", "We can now write:\n", "\n", "\\begin{equation}\n", " \\psi(x,t) = f(kx-\\omega t) + g(kx+\\omega t)\n", "\\end{equation}\n", "where the quantity $kx\\pm \\omega t$ is known as the _phase_. \n", "\n", "So, if we have a periodic solution with period $T$ in time and\n", "distance $\\lambda$ between peaks (or troughs), when we advance the\n", "position $x$ by $\\lambda$ _or_ the time by $T$ the phase\n", "increases by 2$\\pi$, which is what is required for periodic wave\n", "motion. If we look at a fixed point in space, then the time between\n", "peaks passing that point is $\\lambda/c = T$. A summary of these\n", "different quantities: \n", "\n", "* $c$ or $v$ is the velocity of the wave (the speed at which peaks or troughs move---we will encounter other velocities later, in the section on Dispersive Waves)\n", "* $\\lambda$ is the wavelength, the distance between peaks (or troughs) in a periodic function \n", "* $f$ or $\\nu$ is the frequency, the rate at which peaks or troughs pass a given point for a periodic function $\\nu = \\frac{c}{\\lambda} = \\frac{1}{T}$\n", "* $\\omega$ is the \\emph{angular} frequency $\\omega = 2\\pi\\nu = \\frac{2\\pi c}{\\lambda} = kc$ \n", "* $T$ is the period which is the time taken to perform one repeat in a periodic function (i.e. from peak to peak or trough to trough) $T = \\frac{1}{f} = \\frac{2\\pi}{\\omega} = \\frac{\\lambda}{c}$ \n", "* $k$ is the wave number (the magnitude of the wave vector $\\mathbf{k}$ which we will encounter later) $k = \\frac{2\\pi}{\\lambda} = \\omega/c$ \n", "* $\\phi$ is an initial, constant phase\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0,4,1000)\n", "t = linspace(0,4,1000)\n", "omega = pi\n", "k = pi\n", "A = 1.0\n", "fig = figure(figsize=[12,3])\n", "# Plot vs x\n", "ax = fig.add_subplot(121)\n", "ax.axis([0,4,-1.5*A,1.5*A])\n", "ax.plot(x,A*cos(k*x))\n", "ax.set_xlabel(\"x\")\n", "ax.set_ylabel(r\"$\\psi$\")\n", "# Add indications for lambda and A\n", "lx = [0.0,2*pi/k]\n", "ly = [1.1,1.1]\n", "ax.plot(lx,ly)\n", "ax.text(pi/k,1.15,r\"$\\lambda$\",color=\"green\")\n", "ampx = [2*pi/k,2*pi/k]\n", "ampy = [0.0,1.0]\n", "ax.plot(ampx,ampy,'r')\n", "ax.text(2*pi/k+0.05,0.5*A,\"A\",color=\"red\")\n", "# Plot vs t\n", "ax2 = fig.add_subplot(122)\n", "ax2.axis([0,4,-1.5*A,1.5*A])\n", "ax2.plot(t,A*cos(omega*t))\n", "ax2.set_xlabel(\"t\")\n", "ax2.set_ylabel(r\"$\\psi$\")\n", "# Add indications for lambda and A\n", "lx = [0.0,2*pi/omega]\n", "ly = [1.1,1.1]\n", "ax2.plot(lx,ly)\n", "ax2.text(pi/omega,1.15,\"T\",color=\"green\")\n", "ampx = [2*pi/omega,2*pi/omega]\n", "ampy = [0.0,1.0]\n", "ax2.plot(ampx,ampy,'r')\n", "ax2.text(2*pi/omega+0.05,0.5*A,\"A\",color=\"red\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 2, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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KXhJkP0bfsQQ4Au4VPXrIguxTp+qOhDyRni5vso8+smYvf1CQLHv0zju6IyFPDR8u61Ab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\n7Mzuo99G5WxLjIAHBgYiMjI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xACciIiIiMhELcCIiIiIiE7EAJyIiIiIyEQtwIiIiIiIT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\nuYzKWgAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "All of these different parameters can be used in writing a wave, so\n", "long as the appropriate conversion factors are used. Motivated by our\n", "knowledge of the simple harmonic oscillator (which we know can be\n", "solved with a sinusoidal function, or equivalently a complex\n", "exponential) and noting that a wave can be created in a stretched\n", "string by attaching a harmonic oscillator to one end we will try a\n", "solution for a periodic wave which is a sinusoidal function of $kx -\n", "\\omega t$. Let's list a number of different ways that a periodic\n", "sinusoidal wave could be written:\n", "\n", "\\begin{eqnarray}\n", " \\psi(x,t) &=& A\\cos(kx - \\omega t + \\phi)\\\\\n", " &=& Re\\left[ A e^{i(kx - \\omega t +\\phi)} \\right]\\\\\n", " &=& Re\\left[ a e^{i(kx - \\omega t)} \\right]\\\\\n", " & & \\left( a= Ae^{i\\phi}\\right)\\\\\n", " \\psi(x,t) &=& A\\cos\\left(\\frac{2\\pi}{\\lambda}(x-ct)+\\phi\\right) = A\\cos\\left(2\\pi(\\frac{x}{\\lambda} - \\nu t)+\\phi\\right)\n", "\\end{eqnarray}\n", "\n", "Remember that, when we use the complex exponential form (which is\n", "almost always the easiest form to use) we have to take the real part\n", "when considering the physical quantity we're measuring. \n", "\n", "Below we show a three dimensional plot of $\\psi$ against position and time. Notice how there is a single, periodic wave which will produce the characteristic shapes seen above when projected onto either the $x$ or $t$ axes. We plot both $kx - \\omega t$ (left) and $kx + \\omega t$ (right)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Import necessary 3D plotting\n", "from mpl_toolkits.mplot3d.axes3d import Axes3D\n", "# Create figure\n", "fig = plt.figure(figsize=(18,6))\n", "\n", "# `axminus` is a 3D-aware axis instance, because of the projection='3d' keyword argument to add_subplot\n", "axminus = fig.add_subplot(1, 2, 1, projection='3d')\n", "axminus.set_xlabel('x')\n", "axminus.set_ylabel('t')\n", "axminus.set_zlabel(r'$\\psi$')\n", "# Specify x and t and put onto mesh\n", "phix = linspace(0,4*pi,100)\n", "phit = linspace(0,4*pi,100)\n", "x,t = meshgrid(phix, phit)\n", "# Choose k and omega\n", "k = 0.5\n", "omega = 0.5\n", "# Create variable\n", "zm = cos(k*x - omega*t)\n", "# Plot surface\n", "pm = axminus.plot_surface(x, t, zm, linewidth=0,rstride=2,cstride=2,cmap=cm.coolwarm)\n", "# Set angles\n", "axminus.view_init(50, 30)\n", "# Add colour bar\n", "fig.colorbar(pm, shrink=0.5)\n", "# Repeat for positive sign\n", "axplus = fig.add_subplot(1, 2, 2, projection='3d')\n", "axplus.set_xlabel('x')\n", "axplus.set_ylabel('t')\n", "axplus.set_zlabel(r'$\\psi$')\n", "zp = cos(k*x + omega*t)\n", "pp = axplus.plot_surface(x,t,zp,linewidth=0,rstride=2,cstride=2,cmap=cm.coolwarm)\n", "axplus.view_init(50, 30)\n", "fig.colorbar(pp, shrink=0.5)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 3, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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C+l+eoPPLzzAch8FXp2n+oddBKVrvHqN25DC9r87inb9K1O7Q+p3f2pD3XSsr5eQAg8FA\n3EAFQRAEYQMYVdQFQVAEkWslPP0tynWXB5RBevUclRdfLIbcfftQgU9517ZizDCyOTu9fgFzYgKj\nWiW5kRm3hufP0n//Dx7wzR6MUTl5tZpV4Veat46uR8S8VRAeHhJkC6uSpimDwQCtddEP23Xde5rU\nBp9l0izlVnF27qD+1mv4335O0lrAv3QTgNLuXQw++3bp5+10j31DtNCi/e6nlPfsZvqPvU1w5TKN\nt17Bnp4h8lP6xz4hXlxY/5e+D/Kkg7iBCoIgCML6s1rCv1Qq3dN6xD/2K6ovLwfU9q6d4PUxoh5q\nafubWc2C8OTSGcrPPw+GQTqXmaAR+lSfexZ3717UyNy9+A//HmkYPtD7rReWZaGUYmJiAtd1CcOQ\ndrtdyMlH1yNhGIqcXBA2GAmyhVvIe0+maUqSJMRxfNfek7dcI4rwvvoSAGXbWOmANMgmImfXXvzz\nlzBKDu4ze2j+5DWm/8hbVA8+R+ONQ7j7dlLavY3EG7D4Bx9R2rGD1h98hI4SDMsiCRNav/1PNuTd\n7xdxAxUEQRCE9SVNU/r9PsAtCf+1eq7EczeIr10hvXIGe+tWAKypSQB0p0XtlZezA3vt4hzLgdKe\nPWh/WWIeXzqFPVkfv/biAt6Hv/9A77jerJSTm6ZZqO1830drLXJyQXgISJAtjJEH2EmSkKYpURSN\nBdhrndSGJ75F+z6VI0cJv/8KHYX45y4CYDWnmPzJ61Se20r3lx/jfXGcZDBk8Xffo/PRZ8T9HqUt\n07i7tqPjJJOMHz1C++OvCW62iHsDhmfPEs3d3NDP4n65FzfQ0QlO5OSCIAiCkJEH2LnvSZIk95zw\nB/C/Xkr4Jwnujmy/tZH4xd/rGxezgLo1t3zvm1epPrN77DoqTXEb5bExe/sOvN/5x6SBz1rYyDle\na33LZ2MYRmHeWqvVSNOUTqczJifPzxE5uSCsLxJkCwVaazzPK7KZYRjium4REN4L3pefUz18GMPM\nWmNY23eTdDpUXz9KcPks3snjWFNb0VHmiBku9opzK/v20D32De0PPqe8bw/Nt44CMPH2W1iTU/jz\nHaJOj87v3ZvT+KPgbm6gq8nJRb4lCIIgPM2MKuryhP9qW9bWMk/63x4vfk4vn8V94QX0/I3lawQ+\ntf17bznPdhSYy87lRr1Bcv4E9o5dy8dMTZP2Onjv/vyuz3GvyYH1RCmFZVlUq1UmJiYolUoEQUC7\n3cbzPJIkKdYjaZqKeasgrAMSZAtANlENh8Niv1MQBLiue4vR2Vor2cniAvraORIvy+6qaoP6kRcx\nkoCk00EDwzOXAHAOPIcyFM23XmHq135M0vdQbgmA0rZpel+dBK1p/f4H6DDGLLtow8Y/c5ro5o3b\nPcJjxe3cQDudzi1ycpFvCYIgCE8rKxV1YRhSLpdvSfivNWgNVrTacqfrqCQeGzMtjTk1MzJgoq9f\noHJweR+3s30nhlKUpieKMUMlAAx+75+uuZr9qFlp3moYBv1+n263i+9n7yBqO0F4cCTIFgCKL9H8\n51KpdE9O4qOkgU/0zaegFMGFC5jNCYywT3LpLFplvSbLe/dj1mtM/PgopmMQXr2Ed/oUgxOn8c6c\nw7AVM3/yZ8TdPunQp/XeMWqvHqX1/mekfkoyGBIHCf0P/8U6fQIPj1E5ea1WQ2t9RzdQz/Po9/si\n3xIEQRCeaEYT/g+qqAOIr19Bx+MBteU62M8+Nzameou4u3YUf3Z27IIoQA1aRY9sq5Il//X1C9g7\nd4NS6E4mMdeDHsP3f/e+nvFRYppmISevVCokSbKqeSssO7znlW9ZjwjCnZEgWyAIAobDIUopfN/H\ncRwsy7r7ibchPHUSwgBzdjuq5FLZu5Pwwvmsen3+ItbUFM72aZLFi8StOYbfnAKgdugQwdWsMl15\nbh/zv/0uvc9PUnvpBdw9O4k7AyZ/+iOwXLwrN4nabYanvydpL67Hx3Bf5JPM/crARuVbo26gg8Gg\nkJPnMn5xAxUEQRCeVLTWxZ7gvFXXnRL+a1HWxWdOUN6/f2zMiH0sFcPSvG1OTKK7i+jr5zFmsj3b\n1uRStXrQoXzgYPbzsF9cozTVxN6yDUZ6bw9+/5+hl9SAm41R89aJiQkcx8H3/TE5uWEYReJf5OSC\ncHckyH7KCcMQz/MwDIMgCLBtG3spa7saa5nUgu+yllyU61S2TaHN7Hrmtl0427dRqhkMvj0JgDW1\nDbQG08A7dRGz6mJtmSJc6MCS63ZwfQ57soFVd2n9wfsoNIap0E6FqDug9+Gd+1Ruhi//lXJywzBW\n7b0tcnJBEAThSSSf19Yr4Q8Qnz0J85cx6s1swLLRrZsY3QVKz78AgLNtO5D5xzhbZwEwdFJcQ3lt\njFqdtLVstppev0Bpz7gxWtptERz/6IGe93FgpZxcKUWv16PT6RTV7ZVy8jAMRU4uCCuQIPspJpf+\n5AG2YRh3DLDXSvD9CTAMDFOTzt8gWWrdZW/dAjcvYE5vIel20Urhnb5I+fBBpn7tbUwXDCOmfnA/\n0fw8lRf2MvVrP6S0Zxu9L0/Qev/zJcn4MZRbJxkMSeKE4NQpUm+w6rM8SqOR+2XUDbRarRat1Hq9\nnriBCoIgCE8cYRiOKerulvBfK9HZ71FxhPtMZmxm79hZ7Mc2Ux+UgVlyiuONuUtYs1sKGTgA/Ta1\nQ6+M9cdWgF0bdxrHNIk+/j20fjRtOVdzF39QVpq35nvk+/3+mJx81Lw1DENZjwgCEmQ/tSRJwmCQ\nBaZhmAXBpVLprl/Qd6tk6zgmPHuK8suHSC6dQwPBpUvUXn2VdP4mSmu0kU1o9aNHcWYrpNfOEFy6\nSjS/iNVs0P3sG3QUM7xwheD6Ar1jJ2i8fgR7dor2h5/T/NEPCa638a/NE3f7RMMh3rEP1ueDeYzI\n5Vuu62JZFo7jiBuoIAiC8EQRRRGDwQDDMPB9v5jv7sbd1iPJwk10t5X94eYljEYTa6mtJoDqLFB6\n/gD4yzJwpTXlfXvGZOAAlmsV8vIcc9jBaE4tH7NlO3r+GvHJL+/67JuNXG2X/8+yLIbDIe12+xbz\n1iRJblmPCMLTiATZTyF570nIKqFpmq7aGuN+CC+cxdm7DxX56DDEmN1Gef9+9MJ1oqtX0IB/5Rq1\n118BEqLrVzG3bGNw4jQA7rPPkvSzya355lEG35yCNKXzqy+oPLuPqZ++SeeDX1LaMgVJSGqUiDoD\nBt8cv8Xc5EniTm6g0ntbEARB2IzEccxgMCj2YBuGsaYAe03XPn+q+FklMaW9+8Zk4AAm8ZgMHMCy\nTYzGxNiYkQQ4zzy/fL1qDdVbxNm53M7LbGbnhL/8nXV5/seVUfPWer0OcEfzVlmPCE8rD7bZRdh0\npGlKq9UiSRJM0yRJEsrl8rpJjOKL57CDDrq8FQBregvhyeOYu/fDxWtYO3ZhxgnJxTOEQWZmYtSm\nUM51aocOoiyT5psHUU6JuN1j4u3X0EmKch06738CwOQ7b9D64BhT77xBOvDQlTpJt0/wzWe4R95a\nl/d4nFgpAcvdQF3XLSaw4XCIZVmUSqUxiV0URURRhGmamKZZZJoFQRAE4VGSJAmtVmtsbC2Kupy7\nVbLjc9+PHz9/CWqNsTGzXMJo7Ce+cHr5OMvE2bUH/9t2fiPoLWBWmsUx1uw28BZQ7euocgU99DCM\n7LmTK+eIL5/F2vXsmt5jM2NZFpZlUS6XiaKIIAjwPA/btimVSsWe+lxOHkURlmVhmubY1jdBeBKR\nSvZTRN57UmtdfOHdawX7rnLxK2fA94gHQ6xt21GRjwKSKMGcnsHeOkt68xrOrn0k3R44Nqpk4+6s\nox1F9+NjeCdPQ2rQ/+Z7Oh99jk4Sese+ZeKHr2PUqrTe/ZTaK4dpffg5Udcn6vkkkcb79uFLtB5l\nVnalG6ht24Ub6HA4LNxAbyffkoyyIAiC8CgYVdSlabquirqcZHG8Qm3Wm4XJWY5Vb2CXxt3Lld+H\n1nVwsz3X5sxWVBSiOnNYu/ZlY5VKdmwc4exdCqaH3eIa4Ue/v27v8Thxu33fK81bTdPE8zw6nQ6+\n74/JycW8VXhakCD7KSEPsHMzijRNKZfL99178nbE50+hgaS1iFO1ia5ezsZ7fUp1h2Rhqd2WVaK8\n/1km3nyV8MSXpP0eyXwn+6sts7Q/zgJme3oS77vzJN0+rfc+xarWmPnj7xDevM7EW0dRBsR+RLjQ\nJrw+R3jhzLq+z1rY6EzsWsxMlFK4rlvIyYHCDfR2cnJxAxUEQRAeNnmAnSf88/XIes6lOgyw1Phe\nYHNqGrM3DyW3GDNIUO2bWDszYzScEmrQxkgi7D1LwXN9ufpt12sAqHS5VZfhdzEaE6jBcpAdn/yM\ntDtepV9Ld5Yngdy8tdFoUKvVSNP0jnJyMW8VnlQkyH4KyPss5xnDOI4xDOO+Auw7TRJpZxHdWYTm\nDKVdO1CmhR56MDWD5ShUHBFdvpRdp1RC9W6QBtlE5ezYzfD0BZTjUHvxAJNvv0bzp69RPvoi5Zee\nxX1mF9ZkA6tZYf7n71HasZPWh8dQVpl0OERbFtHAY3j8k/v/oJ4QVrqBxnFMp9Oh3+8XvbfFDVQQ\nBEF42OTrkSRJis4ZuXT4XrnjeuT6RYzFa5hbdxRjhmOjogBz9zPL1/Cy5L7dWAqep7eQP4kVdMA0\nsUbcx1m4gjE1C73WyDV6uM+9sOIBUuITx+75nR6EhzF/34uDuVIKy7KoVqtMTExQKpUIw5B2u10U\nfUbXI2EY4vu+qO2EJwYJsp9wtNYMh8MiexgEwbqZiqwkvngWAHN6BnX9PLpUB6Wwd+5GteZQ01sh\nTam+8SbhiS/QaYp3+hwA1vQskz95ncqz03Q/+Yz+Z1+Qtrp0f/+X9D89TnDjBqXn9mI0GmCZtN79\nhNorh1n84DO0dkgGATqF8PJlkl7rTo+56bjfiSaXb9VqNZrNJpZlFfKtlW6gucxc3EAFQRCEjSAP\nsOMlk9IwDLFte0PUYPrqeQDsycliTEV+Nhb1wTRRzUlUMMz+cuEq5tQsRrW2fPxwgPPM8xhRsDwG\nWDt2oEbGAKzyresqfeEbdPJwDVkf1z3OuXlrLifPzVtzObnWuliPDAaDQoUncnJhMyNB9hNOLgvO\nAynHcTBN8+4n3gfxpbOoao0l7w/iIMB58WWUn7mFp6micvQIKs0mHWfXXuJul8prhwmvnsc7eRxn\ndgepl016yirB0pdr8/XDDD75it4vv8CZnaVy9CUwFRM/fgtl2wQLbYK5RaL+gOGXn44915PwBf2g\nE+eoG2itVkNrPSbfguXPSdxABUEQhPVkNOGvtSYIAlzXxTCMB0ok37aSfe1idsziNYyJabCsovps\nDPuYe57FmJxevhZgb9uGYYxfzzQ19BbGxkplF5zS+LOkEcb01uU/l6uo9hzp2a/v690eV9ajF3cu\nJ282m1SrVZIkodPp0Ov1iqB6dD0icnJhsyJB9hNM7jqdB9i2bRdZ4weZ1GD1wDW5dA5nz17Sdrbv\nWqOw5i4Q38zMR4xKGXX5DHG3l12r0mDiyIsYkU+8tFfbvzIHQGnvbsKFFvWjB5l4+3WCq3MoO0sO\nlLZOE5y9SJqmdN77FbEfkQ6H4JaJekOCUydJk2TseYVlRuVbrusShmEh3bqdnFzkW4IgCML9kAfV\nQRAUirpSqXTfMvG1UATZ6MyEdXoLhl5WaNlGilFaESi3bmAuVbtzTMfG3LJjbMxwbKxdz4yNqWEP\nPdL2y5iazZ7jm48e/GWeUFaatzqOg+/7+L5PHMdj5q1pmop5q7DpkCD7CSUMQzzPwzAMfN/HsqwN\nk4nDUtCtU4zuPOniHLrewA46qNoEaaeFs/950jPfoi2b4MIFrJlZ8NqEF8+grcyExNm5G7Rm8p3X\ncXfMkizexD9zmrjVxb94CbPmMvMn3kHHMUm3T/eDz6keeoXux8fR5SZBq0ccp4TtLtGph5M9ftz2\nQN0Lo26guemMuIEKgiAI60kYhmMJf8dxitZOsP7zqB50x/ZMG50bmJNTY8cYvUWs0ngXW6PkYsxs\nGR+r1rGazfGxNMJIw+LPqjmFkYQ4fqcwVUvtbL2lb14inb/24C/1hJPLyRuNBo7joJQq5OS3M28V\ntZ3wuCPcW/C8AAAgAElEQVRB9hNIFEV4nldkjA3DGAuwN8LhMpm/gZ366OokaI21cx/K66FrE5gz\nW7BqVRSgZrZiTk5S3jFLeCnLNPsXLmM1m5T37ibpXye4dI7eZ1mQXH3pRfrfnALArNdoffAZvc9O\nUH3xAO7enfiXrzP5kx+hUoOkPSBstQkGHr3jxwpZ2kbzpFTLLcsSN1BBEARh3RhN+AdBUCjqch5k\n/rzdWiavYucYSUypURs/SCnMamX8uMkZ7MTP+mLnY6aB6s6jqksO44YBXgdj2MXckTmSG80sgFdp\njLVzHwCWtby8Do5/+MQkpzcq6T9KXgBoNptUKpXCvDWXk4/21xbzVuFxRoLsJ4wkSfC8bA90FGXO\n3aVSaV2/FFed2OYuowYdEkyMXfswlvZdpym4k3XScMn8o1TFrbsoO5Np2dt3Yc9O40w4eKe+RwGl\n3c+SBlmWOOotS7ecqSmSbtZXc3DiDO7ObZSf2UH7F++jFCS9Nmalge77RDdu4l29TL/fLxxMNysP\nY1IDiolrpRtoEATiBioIgiDcE3nCPw+wDcMYC7Bz1n3e6C7cMmRZCtTIkrcxhdWfh/qIxLtcxoyG\nmEuBMgCRj9Ip1vZd2TGTs6g0W0/kQfqo7DyvcBvBYHnswjcM2i2Gw2Hhqr4RPCnzb77mGZWTN5tN\nbNtmOBzSbrdvMW9NkkTk5MJjhwTZTxB570nIqo1pmuK67i0B2p32Vd8317PWXEkY4JgJaTfrF2m5\nDrRvEi3Mge1gJD66s0jsZfIfZ8cO1MJlrMYk0dw8AP7lOSoHnmXqj76N6WhKW+tM/Pgo/tVr1I++\nwMRP32Tix6/R/vAYrXePUT18hPavvsCa2UW02Eaj0MMA8+L3VCrZJJhXZYMgkC/eVVgtkB+VbzUa\njcINtNvt3uIGKnJyQRAEISdJEgaDLNDMzTVXS/ivRwJ55XxjLF4bC56xHIzePMZI8KwaTQzA2rp9\n5Fmy65jukvLPKaGG2VrGCHpgGBj1Zel4XuFWetlB3Bh2Mfc+jwqHy8dFIfX5C5RKJbTWRVV2I9R2\nG52QfxhJ/9U+k1Hz1kYjUxV0u907ysnDMBQ5ufBIkSD7CSEPsPM+2HEcF/ts15vVKtnJjSzItmo1\nlO+RzF/H2LkPfekUuBWSuZuUX3yR9OoltFL4Fy5Qf/014vkbKK3BzaRclRdewJ6ukLQuEXd6DM+c\nJ/ED/MtzxK0O/W++R6Up7Q8+o/nmUaypCdofHKN+5AiD7y8QDyKi3pAk1kRnT6NU9sU7avKVV2U3\ny5fvw5rU7nQP0zQLN9BKpXKLG+iofEvk5IIgCE8vSZKsKeGf86BGrLewcBU1M+L0PTmTtd5yljur\nqKUtdOawA1ZWXVd+9syqu4AxMZNVrfPjwyHmzmdQzojUHY21fRdq2Bu7vd1srPJM17AsC9M0x0y+\n2u120TdcWOZu65FKpcLExATlcpkoiuh0OvT7/duat4qcXHgUSJD9BJD3nsxlSFEU3TXAXs992XEc\no29eQdcnMecvoeuToAzsZjNrwdWYwX3xZVQcQppizm6n8sIB0vmrBBezvVPBtRtM/PAN7IkawfnT\nmPUGvS+/BaB26CX8C1cAqL58gNb7n6GjmPaHn2NPTDD9x9+h98UXVPbtJO620JiE84sErRbB6a+L\n981NvkZ7NHa73UJ2JNyd27mBji4UxA1UEATh6SRNUwaDAVprkiQhSZI7rkfWO4EcdVuoYR876MLS\ntjSjVs/+O2ihltps5VvaVBxi7XoGVakX1WelwJzdOtYzG8As2RhJODZmqBSVROPvVHKgVB4f694o\nZOwrVWKwXJXNVWKPK49D0j9n5brOsqzCvHUtcnJB2GgkyN7kaK2Lqixksqy89+TDIE1TghtXUGGA\nuX0XKk3Rlktp/wH00r4l3ArG4hVSlTl5mjOz6EunMKe3gdYYW7ZSmq4Rnvqa4cUsmC7t2ocOI9x9\nu7EnGkz97HUm33kVe7LB5DtvUDvyApWX9hMtLLDwz9+lfvQo7Y+/xJ7aRrSwiDZN4kFAfOJWl/HR\nHo0rq7IPyyztceN+Js6VC4W7uYH6vk+v19s0CgJBEARh7eTrkTRNi4T/nSrYK8+9H0YLBnEck9y8\nDICRRJg7M2MyZS6vh8zJaUCN7Zk2DT3WMxvA8FoY9rj7uOotwIpXMSpV1OzO8TEFxuxI2y+7BMEA\n49KJW55/tapsu92m3+8/tVuv7mc9Mionr9VqaK3vaN46HA6LyvfT+BkLDwcJsjcxWmuGw2HxRRwE\nAa7rYprmXc990F7ZWmvSNGU4HGK351Bbdy1nc20bo3WV1PPAtDCSISqJSTpdzB27wMskWUmUYk1N\n4e7eTXz5Ata2nYTXrgNgOC71V/fjzFRov/shvWNfAgbt9z+l/eGnRPOLECVUXzyAcku03vuU6ksv\n0/7l52jDJfZCwCC4cQ29OH/b9xityo6aaqxVvvU4ZXUf5T3yhcKd3EBH/72KfEsQBOHJIQ+w8+/0\nMAwpl8t3Tfiv19yWJEnmXt5bLMZMsuLDaPXZHCyiZrZijFSf1aCFOTHe4kvFIaqyohrdnMJc6n9d\njJVKGJVxl3IV+xgqHTtPKYVx9XtIV19XrKzKmqbJYDAYq8oKa2PUvHV0m+ConDxJkrH1iKjthI3A\nuvshwuNIHlQHQVD0niyVSmsKsNfr/r7vY9s2xsJ1jEqJxM+cwM00Aq1J5m9iP3+Q6Mz3aNMi6Xdx\nJioEV7NMc9zt4k7XiVpZP0ujNoGzZZbqgWdpvf8RAKVnXspuaFsMvruQ3Ruwp6foH/8O79R53F3b\nKL+1F+KAxluvAjFR38e/OY/hbCX57kt4Zv8d30cpheu6uK5LHMeEYUi328U0TUqlUtG3UbgzeeLC\ntu1CLj4cDhkMBoWrrGEYY1JCpRSmaWKa5tjebkEQBOHxJ9+ylnc0yRP+96Koe5BEb5qmBEGA4ziY\n7ZvFuDHsYmzfM7ZnWqUx9va9cPPC2DWsWoV0NB9vmpiWwWhoq6p1jGhAaphFsKzQKK8D5SoMB1Cq\noKJsLaSmtqIXb6DKVQg6qCjAmrsAzRFTtlXI1Xau6xbJg06ng2VZlEolbNt+ZPPkZkj65+SJC8dx\nin8juRlfvt7I1yO5l1G+HrEsS9YiwgMjlexNSi51yQNsx3GwrLXnTB50T3YYhkU7DpWEmF6btNNC\n7XoG5q+RVhrZhBQHEIUwMYO7YxvKcdFhgJqaxalY6H6f4OLSZGfZ2KWENFrKPleq9L7I5FX1I6/g\n7pxl8sevMvPH3slk5vUqAOX9u+h8cAxl2XR+eQydmiTtNspxiXoDovNniKJgze9mWVYh33oczNI2\n06Q2yko30Fz9kLu8r5RviRuoIAjC5kJrTa/Xw/d9lFIEQXDPCf8HnXvG+m8vXh/7O2tiAqXHq8CG\nW2IlKgmKPdwAqjGN6XehObM8ZpeyCveWXctj0RCFLuThqjG5fJ9GFkyPytWta6fW/F4rW2rezSzt\nYbX73Gg2aj2SbxPM5eRRFBXbBFeuR8S8VVgPJMjehOTVwUIelU8uD4E8UMr34yqlMFpXSC0HhgPM\nsgs6RbtVnGYNbWWTljk5hZq7TGKXQRmU9+0jnbuOuXUHxDHlw0cIvvsS7XkE17JMtLt3P41XX6Lx\nxgHixQWGp04xOHWK7mdfMzh5CpKQ6T/5U5L+EJ0ktN79lNqhV2j/6gvM2jRRbwjKJOoPiE4cv+d3\nfZrM0jZ6cs4VAZZl4bru2L4zcQMVBEHYnOSKuiRJ7ivhD/ef9NdaF60kHcfJEvr9ztgxRskBtzo+\nRoqe2rY8YDkov4exdTl4ppKZnhkjMnJFsnxNgHIVFS/5jyz1x1bussRc+V0wrTFjNHPhKnrYv+d3\nfVzM0jZ7IJ8nLmzbLlSKQRAUhZRcXZf/mwzDUOTkwn0jQfYmI4oiPM8r3JvzavK9cr+TWm4MVkhp\nhgOMfhvt1jH37CfXVhnVOkZ3Hh1FGJMzGFE2AaXekMqhQ6SDbJJJlUXl8GFMS6G0xpyexb94ierB\nA6BD/LPfoFAMz2Yu5LUXXySay/ZcVQ48y8Jvv0f32DdUDjyH+8xuksGQyXd+RIpB2OkTzrdIhhHh\nqW/u+V1HuZ1Zmud5xUS/UWzWSvZq98gXQ+IGKgiCsLkJgoDhcFh8Xz/shH9ePc+DetVbgJkdY8cp\n24aZbeNjsY9RG3EOb0xmBYPRfdRL1zTCPphL1w+97L9eG6oNVH25aq1CDzW9baxqrdIYtX0vjJis\nKTRcOvkgr35bs7QgCJ6IQPBhrkdGExejhZQ8cZGvR3K1Xb4e2eyfsfBwkCB7E5EkSbGfJHcTz6vJ\nD4NcyjuWpW7dAEAbDmbYJY0icFyMpckoabdwZqdIFm6iASwLrp8jvHYVANN14epZkmGWDTantzLx\nwzcwoj7ed99l9zCzzLByHHpfn8YolzAnGkSLXVgKvIKrN7Anm1gTVdr/4n2IY5LWIpSrhO0+wfUb\nDK+N78G6H1aapVmWRZqm0utyDaycOHM5eaPRWJMbaD7BiZxcEATh0RKGIZ7nYRhGoUZylnpP3w/3\n8p2eVxiBMR8P1VvAKLtjxypSTB1mfbkASmWMOMDwu2hnaW1RzgJuFfRJl+ThedVaJRFq6y6o1IuK\ntFJgTG8bq1oDGPVGUdnOMV03C6xHGbTW/K53YjW1XW46ulFqu40OgPN/Bw+7sGCa5m27zuTmrfnx\nIicX1ooE2ZuEJEno97Pq72iQcb9fRPdayY7jePX+20tBtuHaGHGI7ncxdu1Dt+bQtoM5NQ2hj+53\nUZOzOH4b1Zgk7XZw9j1LdOYbUIrgwgWMchnTgvDU15iz20FrlFtmcPIszbeOMPmzH2DXbUwroXHk\nBeJWi+qh/Uz+kbeoHNxH77Ovab17jOrhw7R/9QX27C6ixXb2+XkB0TfH7uuzutNnaNs2lmVRr2d9\nOPMgMQiCTfXF+yir5Sv3na22D341ObnItwRBEB4+o4q63F/jQeaPez03iiKSJLm1PVh3ATXsQLWx\nfO1oiBH5MLPUZque7ZM20OilntnKXt4/bjSa2VjgLY/ZFqo+blZmJD7KGH9uFXpwS8/sErjj/bYJ\nh+jewj288d3JVY15ESBN003ZmvRhydHvtB4ZLaSM7oPPt2nm1e3c3HVUbbdZPmfh4SBB9iYgTVMG\ng8GYI/PDrGDne79zt9CxAL11A+1WUcM+qTIgTTDTAMIAXZ/C8jIpOYC9fSfK99DlJubUDM5EE5Wm\nGLPbQSlqB/bjf5/JqMLFDihF49WjlLZV8M99y/DMRaKFRcx6ne7nJ0j9AO+7syTdIb1PvqXx5lGs\nqQnaH3xG4803GF6+SexlTuNpHBNeOE8crt0A7V7YSLO0J0kufrd7rJaZz9uYiHxLEATh0ZIkCZ6X\nBaC5m/iDVLBz1vr9HUXRWP/t0fWI6i1gKFDTW7KDy7WiVZdRWapwl5bbbZlL8nCVxMtjYR+a06h0\neUx5bYzacuAOS4ZnpXFpvKrUUFPj0nRsGyaW235pFMQB3Dy/pve9V+7VLO1eeJLm2LWuR1bug+/1\nenQ6HYJgaS++qO2EOyBB9mNO3nsyTVPSNC0ml7ztwP2y1kp2mqZ3bg/WuoHasgP6rWxf9swM2szM\nzqzmJCrySVON9ewBCLO2FkmqKc9OkC5J3rVbo7J3JxgmOo5RtQZRu0PzyEHibpt4cYHS3mcYnsnk\n3uXn9pN0s6p+862jdD/9Ch3HdD78HHfHNqb/pR/T+/gTSrNTRAs30aZNMNcm6nkEX39835/ZWtiM\nZmmPq2HK6D74arU6lpnP5VviBioIgvBwSNN0TFGXpumt1eT7YK3n5+01V20PpnW2JxswYh+UAbXm\n8j2GXXCr407f8RCmt0E0UrXWKWp2xb5upVDlcWk4poVaWaF2q9mWuBXPhV4ObLVbBZ3C3EX0bXpm\n3y8r59iNMkvbaLn4o6xk346V++BzWX6/379FTi7mrUKO9Ml+jMkD7PyXNAxDyuXyWIC9kV9IaZoy\nHA5v7xaaplngnNZRWmdZ44XLJNVZ1NQW9FKvSB2G2PGAwM8CTMt10JcuEFl1MAwsG+KLV0l3PgdA\n+ZlnUOfOkSzM4V1d6qFt18A0qb30PKZrM/n2UTAMUj9h8qdvELV7KMvC+/4M/a9PMvnOG7Q/+oLJ\nt18nXlhE795KPAiITp2A136yIZ/XSkZ7XeZZzvvpdfmwJp3HoZK9GqO9tyuVSuH2ORgMcBxnLAGk\ntabT6WDbNq7rSu9tQRCEdSAPsHNFXRzHVCqVW6rJ98Nazh9V1I0m/ItzvW5RkTbigGTLTrAdWNq7\nbaBJZrZh6HjsukZzEqM/Pz5WWqXFl2UCCvL91dUmxEOwHIize2DZEPShXIe8N3ccZEF1cwY686Ru\nLatuxSEsXoOZXbfcayPIg8TcKC03rctdth+XvtCPa5Cds7L3dt7tx/O8sfVI/nvS7XapVCrYti3r\nkacQqWQ/pmit8TyvkMGOyrXhwQOiu01quXPnam6hxbmdedTUVtTSMxklB0Mp0qGHNdFEd1poFGal\nDGlCunATtu+Gy6eh5BJdv0bllcPEF88BEFy9QuXgi9mx/S7Wjj3oJAG3hCrZVJ6Zwp4o0/nlJ/S/\n/Bow6Hz8Je0Pj5F4HtFCm/rRl1GOnbXzeuUVWh9+jtY2yTAErQhuzuFfv/hAn929snKPj23bDIfD\nx8Ys7XGf1EZZmZkfVQrk++DzPdwiJxcEQXhwVlPU3eLPsoHcVVEHRRU7xyg5t+yZNnUMoTc2phwb\nba2Qu1sGVJojJ1oQeDC5dXnMrWZV6tEx0swVLe+tXa5nATYs7xO3R+41d37Vd9lIVqrtTNMstmTd\nTW232dt3jbIe75Kbt4723l5p3pqbFOfrkdxAWNYjTwdSyX4M0VozHA4LCcrtJpc82F3vL708wDZN\n887tOHqLGEGf1C7D5FZUMMyeq+Si/AH02jCzA2PuMnpyKzhdrGaT+NolaM7i1mYzQ5IoQjWnsO0q\ntK/jd7OscOwFVA8ewJmZpPX+RwAEKpNnmY06nU++zp7DMiFV+Oev4J+/grtvJ+XndqOHAyZ++Bpx\nPCDyQvwbc5jONsLPf4X7J/as62e2VpRSuK5bVLfDMKTb7RZ9pB3HueX/z4fh5rlZguxRcjfQUaXA\ncDgsMsij6os4jonjGMMwsCyr2NctCIIg3J7VFHUr5doPWsnO73O78bzieqf+2yuDbDXsQmXcrEzZ\nNrpShc7c8qBdygLluUvLx6UJNKfBW+q5XZ3IitjlKuTG4JaVVcntkWeKcs+XpcR5pU7R1zQO0YaZ\nBf55Xn3xGjoOUSuD/IfEqNouVwrcj9puPdms6xHLsgpvnlwpkLd4zdvb5ffNfQVM08Q0TVmPPMFI\nJfsxJK++Afi+f3u59gNwu0kxr5oDqwZ8o8epYRdDJ+APUbUautcitcuYKka7NUBhTU2jFKSGRemZ\n59Hx0uziVjC7N9FWZkZizG5BdW5gzW4j9QZo28GqV0nnLxH3s8yzs2MX3qms6l196UXqrzzP5E9e\nY+aPvo1RLqHKmcSrvHc7nQ+OYZZdOh9+ijIcknYb5bhEA4/wwlmidTJAe5Av6o00S3sc2ajJc6VS\nALLfodwNdLT3dr5IFDdQQRCEOzOa8B9V1N2umrzee3zz+1uWdVtztWItM+yPjxsGqjEeZGu3CpUV\n+6iVyhL1+TGmlUm805G2X+6SWVo0XK5E5+8aDrOK9WjVOg6hOQvOiOw8jWFiC2pUrr60N/tRs1az\ntMfFIPVxvs+oUiDvOjMcDot98KPrkSRJblmPCE8WUsl+zMircYZhFNnb21WT1yN7vJIwDEnT9I5S\nsHzcyDPHpp31kowC9JY9mDcvEtW2YOzZj14yO8NyMG6eI7XqYJgYaUAaBcS9HubkNIaCJArRdhlM\nk+abb9D98EOU4zD47lR2iYlZJt6eIum38L77nrjVxpqcIFzwSAYehlti8l/+Kf7V6+g4ZvEXnzLx\n49fo/epLpn7yGrEXYNcqRF5IdPyX2G/8bF0/u/tl5R6fIAjo9/sP3Hd0rWz2SW01Go1G8Vl2u10M\nwyiUArmnQV7dzhcY+X4pQRCEp51c0Za36LqTXHs9tgGtDDDy+xuGsbZ50FxRM6o0UCRo1HKfattB\nRT7aclBL+6iVjlFxlFWrB210uYGhFCQxTG7L9k2bVhZ06zQbu3lxeR82ZPLwyIfRftiVelb9Hn0n\nt4IRDsbH+osrD3uk5FuySqVSUd3O51DHcTY8Kf2wAvmHQW7O2mg0xj7LlcrF0fWIYRhFhVvWI5sf\nqWQ/RoRhiOd5GIaB7/t3zN7CgwXZq52b7xVZ614r1V8ktRxUyUabJbRhYCxlbnUcY6U+ut8HZWBF\nWZZZL9zEeu4g6Y2raGUQzc9RmmmS3LgGQNTu0Dh8iHSpRYi9cy/p0Kf+2hGiucsMvzuOWWsQt7L+\n1+7efSSD7NjqweeY/61f0P/iO2qHXqS0cztx36P29g/QGAQLHYL5BZIwITz17X19bhvNqKN2pVIp\nMsj9fn/Del0+SUF2fg+l1B3dQEd7b4O4gQqCIIwSBAG+7xcB9t0UdeuZ9M8VR8Bd25UqpdBJjDFY\nRJfry9coVVBJhB5pn4WRBdx6aR91VrVeCpYbU0vnjbiIu8vtvgpMM+t7PeIYjk7AdsePiwNY6R5u\nO6TmeNEkTeLlYsQDst7z1so5NFc05I7am3WeHF0nPKz7jCoFSqXSmHIxSZIxA8F8PSJqu82PBNmP\nCVEU4XkeSimCIFh79nYd779WMxOlFDoKYdhHl+uYfi/7Mtm6t2jTZZTLEPno1hxqz3PQmoPaBKrW\nwExDiEJozuDu24tKEtJuB0ouzmSD5NIZgitXsptZLhOvv4KhQ6K5bB9V1MqCarNRp/Pp1yjLwmw2\n8C9eK55xeP4KpW3TWDWXwfsfQapJ+z1wa0SdPuGNOfyrj16mdTtyCXS1WgV47MzS7hWt9SOTmuWK\ngFqtRrPZxLIsPM8bM3q5k3xLJjhBEJ4m8g4OhmEQBMEdFXU565n0j6KIJEnW3B7MCPqZ73djenkw\nl3W71eX7LPW+VkvV+MStF9dP4xCtjMwhPCf0sj3byUjVOhqO9b3OLhRCaUWQbSh0dby3trZLJCv2\niadA0rl513dcKxspga5UKkWlda1maffKkyRJz9cWo+RKgZVtXkfbquXrETFv3fyIXPwxIEkSBoNM\nQhRFEXD37C2s36R2x96Tt8H02pnEqVyD3gLEEYbSJIMuOC5G92aWVbYGmLZFDCROBWfCIDGyScyc\nniY9c4J4NjMhc194Cf/4ZxhTs0Tfn8PashXdnSO6cR3rmRcBsGdm8c5dovnDVzHrNXqffU200KJ2\n5AC9499Tf+1FzEadpNuleywzRqv/6CjtD44x+c7rxJ0u1myDKNDEn78HO/61+/r8Hhb5ZHCvZmn3\nc4+HwUbex798lcUPfkXvwhWuXbwJSlHasZXa4ZeYeuctrHq1cAMdNUsT+ZYgCELGyoT/XQ1QN+D+\n9+pebviZUk7pGK1U1lJ0yWBMxT7aLmUtR+Nsn7WKfXR1Au245BJvQ8ckjZnlfdWQ/d3sbgjH93tT\nrUNnODaUlmsYg9bymW4t86gZvZppkaqRNZZhoOOItHMTZh+NGeu9opQaMxwNw3BdzdKelCB7cPI0\n8+9/yuDCVfTNRZRpUt6/m/rhg0y981bWjWeNbV5XrkfEvHXzIEH2IybvPamUKipn9zK5PGhmK98n\ncqfWGKthDNroarPoS0mpDMMODDqoXc+jLp8iNicwd+1DL2U5zWoVdekqUWUaVW9ikpICOk6xnztA\nulQF19Umzs5dlLdM0fn8OBoYnr2AsiwqLxwg9Y/jn/sWrWtECy2smWk6H39F6gf02l0ar7zE4OR5\nmj98jd5XJ+l9+AXTv/aH8C5cpbS1gVmycBpVggsXKMcx5jqbym0kuYPlaK/Llf0Z7/WLdzNPamkU\n0frd/4/533uf+f/3dwAoHXiJ3q++BKB2+GXO/ud/i93/3p/mhf/yL46dezs30NG+ofmzixuoIAhP\nOnEcFwn/XK691iTug8rF80AiDEPK5fKaE/5KKQw/60mt0pi0uQXVvlGsTRSadGIryu+PvYeuT2b7\nrnVUjJnVGjoal26nlo0RMj5mu+MyUMMkThIcw8iCeQCnTJJEmCN9tDUqC+JLFQi8zCBWKXTgkfp9\nDHeFKdtjxug8nqvtbNumUqkU6ofBYFDs6b6XNeXDZL3WI1prUj/g2v/2j5j/nV8QXJ4j8SPsyUmM\nsot2LPqfnySeXwSg8cYrnPlLf4MX/qv/iN3/7r9aXGf0s8y3SuSfZb62syyrUATmv5ujXjKyHnk8\n2TzRxRNIHmDnFv9xHFOpVNb8y/Igv1T5hHg/7uVKqSzIbkxBr02KgREN0U45k2YtPZe2LMzODWKz\nCm4FNehm450WpR07CK9fzy6YJNiDeSIz2/+UKgPLjIh1No3ZO/egOz7lbU38C+dJ+j3Kz79I+8Pj\nALi7djE8dwOAiR+8Svv9zwBov3eM+uuHMKYrdD/+hIkfv07cugY7ZwgW2thmk+D4B1Re++l9f46P\nqr3W3czSSqXSmhcpD0OCtBGfU+u997jy3/1Ngps3iQbZtc1Gg/7nJ7IDTJPg2jyV5/by3H/2G7e9\nzmqfZd56I69um6ZZ/J7mUn3TNIuMsiAIwmZmVFGXd7dYq1z7QRldj9xLgJ2TV7IBKFfQPSuTcOcB\noamyPdqMOHsnAUrZY15l6BQME5LlanZsOZhOGTNcrlwnaFRtEtXPKtdZNxWNrs+glqTfqWlBEqPr\n06jWtSyYTjMvkLQ6iRF44Czv+U7bNzG2Pd5B9u24k1laPn4vhaPHMekf3pwjbHe5/g/+b1rvfkx4\nY5FosYdOEoyKi1mtoKwSw9OXQF2mfvRFep9/C4ZB441XsKabLP78faZ+9oOxAHslq32W+druduat\nQB9QI6QAACAASURBVKE4kWD78UKC7EeE1pp2u13s2bhXeRQ8WOY4P28te61Ww4gCSH2U10VPbcNY\nvErsNlGzOyDJMsOmaWDolLS9iNq5h/T8abRdwqjWYdgj7bSg2sAyIv5/9t401q4rPdN71trzPuOd\nOY8SVZpFlcqqoavKbrfThepuAw0jbjtIYNhAYjgBDDfQyI+kkYZ/JIi7gUYCVP9IBYkLPdhBGkbQ\ndle5bLddk0pSSSI1jyQlDpfkne+Z97jWyo99pktRIu/lJUWJ5wUE6u6z533OXuv9vvd7PyxJduUK\nslKD1hq61yUThbmZmJlFrrwBpVmSxaJWW8UaLIvSg8eRvsP0159E2DYqUkx97Sniy8tYlRK9M+fQ\nb6ZM/60n+5Lxp8g2GlgLU6SZIX3jlVsi2XcDblZy9HG4Gwe1j4LqtFn6v/4Plv7kz0Ap/PsfIn7u\nZQDcg4eJzp/GnZ+h9PADpMsbHP+ffhfL926w1wLX6xt6PTm5UoqNjY1hTdVETj7BBBN8WqG1ZnNz\nc/j+Ukrd8fnIgNTvJPtpjZFskUWY6ixy7NRFnqD9GsTN4TJpNCoIoDdq52n8ECUd7ObyaN+uB/Y0\nbBRzDyMkJs/RfhmrT7JxC7M07fhDebjpe4Yry8EGjDeqDVdSIgFjOUVrL0C1VrEWjt7VY8jNjOMD\ns7Rxtd2gU84gI/tx+xjUJN9OfNx1GGNo/Ow0+UaDlf/wfZqnXiff6JA1uqA1di1E2Da62yXvFM/O\n27tA72zRZ730uWMExw+y9t0fFTvUmuTKMr1z7zP1Cz/HA//yf7zp8xy/l4O53aCl3WBuB0WJRbvd\nplKpTOTkdxkmJPsTgDFm6CiotSbP823VQ+/G8eO4kETtpP+2EKJolyEd0Lpf1wQgkUkTnWlMZRrR\nWkU7HrgSmccYlaMrM7hRG1OqA4u4R46TvvkyenY/YqVJeOI+OqdOIfyA9NJFyidPkqwsQ5ai+s6h\nsl7HKgeER6dxpyps/uQlAMqPP07j2VMA+If3YzJF+eETNF96jY0fvcTU155i85nT1H/uIVSUQl2Q\nrKwSL1/GX9h/y/f1k8a1kqPBC/lG8q27NXJ8PcTvn2Xxf/lnUJmBfkY5bxcZhuDEcYQtCY7Nodot\neufep/TAcWZ+8cvbPs7ADXQgJx+YoQ2k+YOJwrgbqDHmjtYuTjDBBBPcKrTWdLtdtNbDAOJ2CTbs\nnGQPxirY4XxEK0Q2yjILQFenobuxdUW/tIVkG9tFeyH0GmPLfPQ18zCNwQgxIs9eCQTkKkcKiTB6\nSJbH5eG6T561ygp5uDfKWhuVY4IqevwWZwmm10KUatu+B8P93kXGWNdTiA2UEoP5yPXmvHdSWZdu\nNFj/ix+Qtdqs/+WP6bx1hrwZo1rF98mu+QjHxcQ9TK4Kl7pcka4X12GFLlNf/yLrf/nMcN+q26P5\n0xeof+lROmcWydc28Q/vpfXSa5QfPE7p/iPbPt/xuZ3WmjRNt8ztBq3CBr/BNE2xbXsyH7kLMCHZ\ndxjGGKIoGhqcDWqwdxK9vV5vyZs5/sA1dDCobhtZip1HGNuD6T0jx07XgUhh2g3E/uNwYQNVmkY6\nuiDkgKxWEY1lVFjHPngE0c96a2ETPvQQJiv2Jef2Upk/iNlcIes7javVDcKHH0RWQjrPn8IAKi6+\nwvb0FM0XXy/Oz7YQWHTfLPpr+587hjdbBaWY+vrToBKydo/EMlh7p8lP/Qi++V9s/z7cAeyUnG7H\nLO3TQrI7Lz3P5X/+P2OSGKMK51hZq2O0pnryAYTj0nyhqMUuPfoojWdf4ZH/+1/e8rlfK98atNob\n/JY87+ay5BNMMMEEdxOMMfR6vaHkdFCydicD/oPM3GBOtF2IuPPhPtOeD1vbUaOkGJJiKFp8YQzG\ncobzEGNZoHK0FxZy7n57MABTnkZ0NhD9tl4C0OVprPYamdbDczCVGUSvCWNkUZenii3GWnqZsIq+\npsWXaq0ib4Fkw+1Xpe0E16rtbmSWttvXoJWidepVNn7wHKrXo/HcKXrvfoCOFKpX1DdbJQfhugid\nIlyByQ1oTbZWlDkKW+IveMQro5p9Z26WxrM/o/zwEfJORvT+JfxDC7RPr9B+5U3s2WlKP/8FWs+e\nQgY+R/7Jf3PL1zJu3jpQ20VRNDQqHHQluhu/B/ciJiT7DmIwKU+SZGjPP5Ca7gTbjRwPIlwDWdag\nH/C2I9ZJp+g1qTW4HsQ9jOMjupvgBoiyKFw+Ae36uJtXSINpxPQ8ZEXEWkcRjm3IWv0XmO/DpXdR\ntb0AWNUa6ZsvYx0+AR8sYs3M4U7Pk555E50fBMA9dJTOqfcA8I8dxapsIn0XZ2qa9qvvDM/XnqnS\nffMM1ccfYPMHzzH11afQSQruNFmck3xwlvA6rRY+K7iRWdqngWR3n/lrNv/8u5gkRpQqdM+ewyqX\nKT/yEM2fPosCnP33DddPV5tMfe2LVB9/aBfOfgTLsoZZnkFP7WaziWVZ1Gq3NjmaYIIJJrhTuJZg\nK6WGpo47wU7mI4OAv+M4OybZ6BxtucixNltaSERQRUZ9HxjLAaPJgxpOr19H7fgIAao8PZSHD85e\nBTVk0tsi8dZ+Cauz0c9a98mxF0IbhDDDjVMkjjvWaxtQFAQfRqQ6lxbkW0l2rhT2Hez2sV3c6jh+\nM2Zpt3qM+Moymz95nsZzp9FJTPfNM7Tf+wCRCXTSr18uOYBECIXlS1RWPL98sx+ZERDs8UnWR98p\n6QrSZoJdtrCnponOr+Dvm6G9skTvzHmsUsjMN75C40fPDbfJ1zaw7jtE7cmHqJx8BG9+ht3EQE4+\nKLfIsmwozZ/MR+4OTEj2HcSg350QgjiOh26BdwqD3pM7kYKNQwzqnywHkXWL+urpPVjL51FOgKi4\nGF2MObZdDNim08Gu14ZmZ1a5DBtXyNeaiPoMcukDDJBeuYx37D7UWrFeHifIICC8/z7azz+HrNbp\nnDkHgO1XqH35SXQW0X37XXSnizVVp/v2+6huhHdgjsoTD9N67W1Up8fmT19m6utfYPOZU9S/9Ch5\nL8Ep+2TtiPiVZwif/NqO78ntwm4S4I8ySzPGYNv2dXs67hZu5To6P/wLNv/o28RFe3Ss+f0ETgVb\nR6RXi97oslKl82YRWPHvO470Shz+vd/alXO/HowxWJZFqVQayh3vVifVCSaYYIJxXKuoS5JkR1Lt\nWzn+QCI+rgTa0TiRRuSlOm5r1GvaGIMOKiOSPZBq+yEMSLa0wSi0NZLUDiXeQgBii8RbaYUlLczY\n+ak8QwaVLVlrgSazfQQjlaHRCuW6Q78aABwfbBfG6slzI8jiHm4wIvefVXyUWdqgJvtGXjLGGJrP\nnWLzuRdpnXoDk6ZEF6/Qu7AIiSzk3YBVdiEVCFtjh5I8A6M0Oh49i2CPT9oa/W2XLNJGinQF/kKd\n3qUGbj0k3eyiU022vsns3/8am3+9VSZuki71Lz9J49nCfNc9tI/2q69j+R4P/+G/2O1buAW2beP7\nPlprsiz7zCaNPm2YkOw7hEENhZSSOI5xHAfLsoYDzU6wncjx9XpP7rSGSkRFuwwsicklQikGLiPG\n8bHbK6TGgbkDiKiDRiCCEJH2EL02ZmoBub4I1VlYXsc9cIjkjZcR9Tmk6WDLnGT5KgZBtrJC+dhh\nso2ivsqe3wfnl6k+dZLeufPkm5sEn3sU3SkikO6Bg8QXCxMse3aate/9GATUv3iSzttniC8uMfUL\nX8GkMfHVFaTIsfbNkLz58o5I9t1UA7UdjMu32u12MWDtYq/La7FTkt199gc0/ujbyLl9qDcKEm2V\ny8iLZ6FSIzr7AQDuvsPo3MXZO1OoRFod6l98atfO/1qMm7MMghcTTDDBBHc7BgR3POA/eH8NOifs\nBNspX9tJu9KP3lmEsUZTWWPZYDQagenLw1WfSButMbaHyJOCLBvAKIxfLmTk/eFcYDDlKYztjFpy\nGYOpzKDGr1GArs5BurVntijVYLxntrBQbhl7bD1tuxhhbTFtyw3Qbd21JPt2qd7GDb6azSZKKRqN\nxtAsTSrF8p98l9bpN+i8eQaTpqTrmyTLq+ieAV08OLvqYSKQjsHyLLSxMGmOSTUDoYO/4KEihe6r\nvp2qQ9pMQUDp6DTdDzZw6iXS9Q5GGZK1FpUjJXrLo/oDkytUp1H4/Py48AQKjh6k89ZbANS+fJLm\nsy/j7p1FrS4z9fUvERy8fb4/Wuth/fUgQDHB3YEJyb4DyLKMbreLlJIkSYY/goHE43ZjUAOza+Zq\ncRvlBMikC5aDmd6L6L/kxCCZ12sjp2cwa01MUMHSOdot2lPI6VnM5jLa8fAeeLjoVQmYUhVfCEy/\n5sle2IctLdTaEvF6MRDp3FB/4iEQmnyzGMTSpeJfu16jc7p4yQnfI1vZHA6QzdNvUv/i45iow+bf\nPMPUV59CGI0IymTdlGxphXhpEX/PgW3fjk+ihdduYWCY4TgOruvetFnadrGjlhnvvErjj75dTG7s\nQn5XfvLzdF97BVSOnF4AFpFhiBU4mGSD/GqXdDPmyH//e7d8zh+H8UFtgLtV4jfBBBNMMMB4wH8g\nLXUcZ9i2a6e42aD99QL+49tvu3wtjQCDDqvIXmtM4m2GNdNmkK0WRX201VjCjNVDq7CGlW1NeGh/\nsJ8RqVZuMOx5vWXZNSQ7tTy2hF1dn9hISsUpFHsVFrERlBGAAWmhDOheF6M14h7MRAohyJbXaP7J\nf6T75hl6Zy+h0wQdJeStDqqbD9urOdMhuqMRtsAKLbA9VCcCbdCJQSfgz1kYZZFsFNu4Ux5ZP2Nd\nOjpN98IGdiUg3eiAgXipQflwiXhta0G/wVB+YB+ds8ugFMHxQ/TeLoL+9a99gcaPX8Q7ME+2Xijr\num+/Se1LT9Lpr7PvN/7Rbb1v1/vdTOYjdwcmJPs2I89zut3usIYTGLoB3irBvpl9DGQ412uNcSuZ\n7DyoYbWWMUgQKeQaU64j4h5aWMjKFAIBxiCqU8jlC2R2APuPDOuyjbCQzSvkQR0AO/DJL59Dzx8B\nIXD37iF65RTW/iOYq2/gHjhI3lgmb2xgHbgfAHfvfjpvX6Jy8mGc2Rmi9y+SN1v4x44TLy4THNtP\n2okBReOZFxG2Rf1LT7D5k5eof+UJVLuLNVMhSzX5Kz+Gb9ydBmi3E4MX9HbM0nZyjO0EePLL5+n+\n5f+H6Ss90tVVKk+eROgM068hTNc3Ce6/D7fi0zx9GgHYBw6TNs8w9/e/saPzvFnciTr2zwJ+67d+\ni+9+97vMz8/z+uuvX3ed3/3d3+XP//zPCcOQ73znO5w8efIOn+UEE9wbGJg2DhR1tm1vMUq63UH/\nwbiyk17Y14PRakh6tV8pSLYzkp/ntocFCMvGDKTg0kY6HuMNsjUUy8wYodZqLGvQX892C2n4mOw7\nlw6240PWT40KSaIMrhdC0q9xcvyipZdXgqQgcOkgcR5UIGoN24AZo0mjLl6psv37cZvHpd3ef+OF\n01z91/+e7tmLJIsrmDRFK4XOMlQvw8TFM3Nny6hWCrKQcosgIN8o7qPJDXlH4c3mWHWnqKM24C2U\nyPou4aUjU0SLTazAQfVl4vFSg/LBkGSjt/UahSE4OEV0uYHJNW7FIYtysmiF+pcep/HMabx9s2Sr\nVwDovPIyUz//NJ233hjtRGmcuos7N420bepf+cKu3bPrYbzU79Oqrvys4t4Lld1BKKWGLQvyPEdr\nje/7H5Jr7/RHcaNBUWs9lILtWr1onoHRw7ok4/pFC424hyrXEXEX4wZIW2CEhbEcZF/KZbIMV+SY\nbpGVtoRGqAy1too8cAS9VkQB8/V1So8+jm4X9VRaOvjHjuPvmUM3NsB16b57BiyL4MgRwqOzpFfP\n0X75DaJz5zFK03juFXrvvk/rZ68gHRu92qT6hSfQSrP5k1OETzxO+41zRFfXyBstlJGk587eklzu\n04rrDZyD1lX1eh3f90nTlEajQbfb3VHGYzuDs241aP+b/30QsEaUa3gL85jFs+RZsVBWajhTdUTz\nKlijnEG20WLm7/4iVun2yu2uV78+Id0fxm/+5m/y/e9//yM//973vsfZs2c5c+YM3/72t/md3/md\nO3h2E0xw7yDLsiHBHijqdrPM5UbzkfGA//UI9o5I/rj82piih/VYjTVGYWwPM0aejVHo8jUGVEaj\nxuqv+2cEfnnraraLCapbluUItD9GiF0fhEC5o221LOZAudsfl4RA9S81FsUz0GPjWNJrf+Ql3wh3\n2ziks4ys3eHq//sfeOVX/2uef/of8OOjX+WHB57m1V/971j53o9pv/Ie0fll4iubYAz5RoSJc6xQ\n4u2tk/aVjGjIewppErwZF2EV1xrsr5F3c/JuTri/ihVIxNh3KV5uEu4PUL2tagUDeHsqWH7xnXGr\nDnmUk262CPdVQYAzPZpLdF57jem//UW677yzZT+WD+HRQ1uWqeYq7pTD3v/yV277M7m2U9AgaTLB\nJ49JJvs2QWtNp1O8GJRS1zUc260fwfUIzMDYZCAFux52NKjFbVR5BqFVPw6si39N0e5AYCAoIRvL\naLuE2HMIoiLQIIMQmk1oNBD7j2AuX8D4JUx7A9e1SBob4AVYYRWz/AFpY/BCFFhxE50Vg5a7/wja\n2cStevTOvEu+uU5w4mEaP30FAP/IEaKLRZ1M5clHaf3sNQCSy8tUv/Ao9myV7quvUj75OUzaJTcW\n2WaH2FJ4rz5P6cmvbO+e3EZ80s7fH2WWNlj+Ub0ut3OMLevlOe1/9y1Mq0He60exDx8lefMVDILk\n4kWQkuBzn6P74s8QQLy8CoA9P4+o19n7j/7hzV/8DjF+PZPI8Ufjq1/9KufPn//Iz//0T/+U3/iN\n3wDg6aefptFosLy8zMLCwh06wwkm+OxjPOB/raJugFvNZH/c9oOA/26VHw2xRaZt0JXpUa11/5xU\ndQ7MNa2y/DLEW4msckPkWH00rk9q+1tk31raZEj8sWWZLqTfA4pu7CKTniCHy/K+SDwxEhuBcALo\n3/tMWnhCkhox1JKnURetFVLeXWaaN/p+pCurRBcvs/43z7D+/R+RLK2TbXQweY70baTnoeOEvFlk\n/b2FGsly0bvc8iXuXI3o0qiWXcUGy+viz7qkjRydacKDUySrTUDhzYXknQQdj9pqJesdgvmArLvV\nrd4Ygz0VILs5WTvGq7nkcQ5xjjftES3n2NWAtFVktpNGh/KxWeLmVum4dA2Vhx+gdXqkzNKdDUTe\nw5meItvYJDxxnOxqMVdZ+Ie3X1UHd19wZYICE5J9GzAg2MaYodPfRxl87LQOabDt9TDee3LXDZni\nDhqDyDN0aRqZtDHSQZfrSCmKsc3uk/o8RVqgOo0iu91ZRftlEE2sMCTHQKmGV6qj+hJgObsH1pYQ\n03swy+9ize9Fry1CGhNfugSAVa8jL59HWHvJ1tYAUJ2CkDv7FhBCMP23vwBSYjJB+NgJovcu4O2Z\nJbm6RO/cB1QePk77+deofekxVByTh2WyWJG88RLhyS9PXljXwbW9LpMkuWmztJv9jsc//FPUpXPg\nh+SLV/AeeAiSYiJlze1Fv3uO6mOPkjaKgVhOz5G8dxH/2FG8vfPEFy5SeuSR3bvoj7iWazPZk8jx\nznD58mUOHjw4/PvAgQMsLi5OSPYEE+wSlFLDwOjHGY7dLrm41pooinBd92MdzG81kw2gHR+tzZa+\n2cr1EMlWSXBm+zhsJdk9LShLa9iey9heIfu2nKE8PEeSafAH8nCnoNvKMJSCa8sB3V8WVCBqkw28\n0yjIvOWMz8sEIqgW86ZBwt0Y2psblGpTd9T1/WYweE7NF14mXrxatMt65kXStRZ5IwKjkYGDVQ4x\ncYzqxmDAqYZDQi3dIkMdXdgY7lfnkLfaeLMueSdHxZrSoSni5UbRorPmgVLk7VEgJGtGBHM+Ktka\nRNFaI8PCZybd7OHVXfIkB3LswEGlFlbFQ/Xl5GknoXR0hnituWU/3oE9+PeFNJ47Pdp3ex3VbOAf\n3Ed86QrhiWNkVxcBKJ14gMbzm3jzNaJ1CE8+gTs3t5u3/0MYzEVuZ5/xCXaOu+vX+xnAoPfkQHa8\nm/VH18O1JH289+SNCPZOBjWjNRiDzBNUWMfqbqAsH0snoCzM1B5EGqGNgbAEWYxIY8SBE7D4Hsqv\nIQ4cLfYDiKCMWHyPrLoAQmBXq6SXP8DM7EOWKwQH99M5dRU5s0D+7jnKT54kev8MpGkxqAFWbQoZ\n+FROHseuTA3dHssnnxj+v7t3juDQPpKlFdLlNRovvMHUV07SPvU25YcPQeCiKyHp0hKN98/g7zt4\nU1na253F/KQz2dfDeK9LrfXQSOfjzNJu5hj5O6fJzhTGdVRncQ4GiMYSSauIUmuvRPmRh9Crl0lW\n+oN1fY7qU7PkF94hVRnlr//8Hbtfk0Ftd3Dtb2hyLyeYYHegtabb7WKMQSlFnueEYXjD1kg7Dfpf\n+1sezEds2749jsfXkmxjMFIixhzAteUhXdM3SCughIXlV5D9bLZxPAwCE1QRfVdwLW0w/WWddYAh\nWVZ+BSuLYaz+W3klrKSLGqvCzJ0QO08Zvyu5EyAsOe6nRmr7ZNrAWHhAZekwODLwRPkk2jKlaxus\n/6cfk6yssfn8S3ROv0XeiIaJDelb2NUyZBnGKFBgeS7pUgMAYQuCA1P0Lo4INUKQbzTxph3yxKC6\nOeHBGvFSE51qZGDjVATpRmu4Sd5NCOcDVKZR8ZhpndYYW+LPFoZl/pRHnipAYbkWdtnDKrtDQp3H\nGcH+GunmmGoBcKo+tpPTuTxabrKIdOki4Ylj9N57v8hQLxXJHu/AHMlVC29hinizINnJuXepf/nz\npJeKrie1X/o7u/QUPhrX/l4H7UUnuDswIdm7CGPMsGYV+Nj6owF2M3psjPlIKdhuwWRJIQ2X1mg8\n8ENEN8akCQQhYm0D45aQaRfjBJigjBB9cbmQOMk6uVUCy0LkMQbQ7TbeAw+j2gV5Ur2Y4NABVFy8\nyEW5RvXzn8f0Wqh+FjM6f4nwxP1487NsPvMcBsj8ftazUqF16q3hebszs2z++EUQgvqXT5IsrSCk\npP61p8HkxKsbWK6FskOsd19C79l/01naTzspuBUiL6W8KbO0Gx1Db66S/s2fkK8WA7GxHRzdg/oc\nZvldEBLbleTvf4DcdxRzeQ1h29ieRfz26zgLe+m8d575r319R9exHdyrTp4VYdHh41v0lMtl2u2b\nryfcv38/l/oKFYDFxUX27799rU4mmOBewWA+orW+oaIOdr98bTsB/8HxtzsX0mw1FtKWW6jmeiPJ\nsZY2xi1taZ+VGYN0AtwBye5LvDNrJA9Xwiocp6VLAEUnlf5nCTZh/3iDhbEu3MPzsUuItaDkBFvO\nOcNCIBk3XsuEjRB6S+24EjbVcgVj9LDrx6CllW3buz7maKVonX6NjR88i2q1ab/6Nu3X30F1MnTf\ngEx6ElkKEVIjHDBZn1D3g95IQXi4TrTYGO5XujbpWhO3amOMJGumBHsrxMstdK4QtqS0NyBZHRFq\nHef4CwG2bxGtDQzlIM8VWhvChaKllj/jkWcF4VaWwZ0qIUIB7f6yVOHNVkg7W5UMbs3HDQztS6Ox\nyiQd8iQhmA2J1noFoV7uqyftDBkEePN14s1iWbp4gfqXP0926dyWfVueRnkOOnWpfvVv3epjuSGu\n5w9zL+BG85GpqSk2NjY+8vM7hQnJ3iUMJNpZliGEIEmSm6o/2s06qCzLrlv7vavHTiOQNsorgVYY\naSEHx7JdMBqRp+jZBay1S+R2iJjbW2SeAdt1kB2F7mxiH7mffPFCUUOlNaK5Qr7WwAB2pYS59B6Z\nKKqarFJI+tYryMMniv3s2Y9bqZOceZO4rxoIjh6n+UJhSBHcd5zs9Js48zM4hw/Qfrao18YYdJoi\nXZtsc5P2K69S/9Jj2KGP8ALyWJN+cIbpbwSEYUiapsRxvOstrW4WnyYXa9u2sW2bIAjIsowkSej1\nesN67o+CUYr0+/+uaL2SXAHHwUq66CTC1ArZcPDoE0SvF/3PVW4QfkDl4QdpnS6Wico03pGiHv92\n49pB7dP0jG4FHTTfDR742HX+Xufdbe3zl3/5l/nWt77Fr/3ar/H8889Tr9cnUvEJJrhFDAi2UmoY\nfL+ZFp67Vb426MUNtzHgbwypdLfURxvbI7W8LRNbJSTKgN1vlVUYowkSLXD6fbS1LLLsidJDefiA\nLOfaFM7fY724lTHgl1FCDrmyBkxpamhoBsVHmVeGLB8tFILc8YdlUABYLsIWmGRU/5tqi26cUSv7\nW1RjvV4PY8xwPrITghVfWabxk+fZfPYlTBTTOfMBnbfPYVIwaTGfsnwLHBfpAEagM4OwbfKNfqZX\nQHi4Tnx1RI7tskey2iwcwG2LdCPBnw2IVzsoZRDSUDoQkqyOkdtcIz2J7/pEK8U9EZYgS3O00pT2\nlule7RDM+GRpv7NIkuAvVBFSQZ9kG6VxphzyaKu5mTcd4pYl7YsjKbhJeqgkpbRQorvcJZgto+K0\nUKhZBrte3UKo89Vl6k89SnL5wpZ9WzLF1Kuozuh6bN/BPnYI45exb7MBK9y7Qf8bzUf+3ub25iK3\nCxOSvQsYDChJkiCEGDp630wtzW5lsj+q9+RuomiXkSBsD50lSK3QlVlk3MFIC2M7YMBYNowRURm1\nirYJ5TqytVK0wdBdpE6LgaYyjUNffnt1BfvQMfKL7yGCMvnFq/ife4jkg+IHk202EZ6Hf+gAnRd+\nhj01Q/vs+/0DBZQfexC7HhJ9sIQUGYKE9P0LOHM1wmOHsOs1Gs+dQkcx0veoPvkgzRffpPLYUexy\nDzlbI2tGxK+/QPj4F4cD2aAG+dos7WcBu00Sr2eWBtBut687Mcif/wvM8iXM1D4A3PsfJn2rCIrk\nzSb+Q48hdFb0y6bfzuv4oSLq3//tpMsr1L75zTsyuNwrpPp6sIIbBJi2qjf59V//dX70ox+x+RaR\nhwAAIABJREFUtrbGwYMH+f3f/32yrKhv/O3f/m2++c1v8r3vfY/77ruPUqnEH/7hH96mM59ggnsD\ng5K1we/so1p4Xg+7FfT/uNrv3Tq2zjMyDZ7lIAYttWwHZcC4ISItspfKgEag/XIhD+/XUSNAeRXs\nuImWRdYaIdB9ybjSZmhOprwy0mwNFCs3JL8mI526hWx6HJkdQDam7hGCBB9n7GWppU2qLVxGJDvJ\nBfRSauXifAeqscF8JE3TD6ntricdbj53is3nX6L90huYLCW6dIXu+5cwiRj2nLZKNmQCywUtJcXQ\nKtDt0TkGB6ukqyMptTtTIllpIV2BWw+JV3q4FYtkA3SmIdeUD5WI1sbk19ogHUEw59NbLvYtbUma\nZKChvL9C53Ibf9ojS3IEgrgbEeyrY3QKgxblGiwPtNr63Qpmy+jUpn2xMQp+xB1UklHeV6ZzpUMw\nV0Yl/bZvJsep+LhVh7RdLDNKUXnoAdIrWwm1lDnennmi9iio4JQ8bKdGsni5eLSeR3bpPCaJmf0n\n/8MdyTDfy51OPnY+En30R3cSE5K9CxjUpEopb+jovdsQQpDnOXmeb7v2WwjxsRnGDyEtZDu5ZWPl\nCVJlKNtFpj2MVwxgxvIw0/sQ/V7YwrEhFdBpIA6dgAvvkIdT2HvrmP57wJqaRVx8Dz17ABGEONUa\nChD1WVzjYkmNiSLwfLK1VSr3HSFZWS62ndkDZy8TPvgAeadFdvUidvVhkkvFS6/04INs/uhFAJLV\ndTpvvY8VhlQee5DGz16m9fK7TH/tJDrq0Xl/karJSRdqJH2SPcAgSzvIbg+ytFLK25rZvhM137cT\ng4lBFEXDezc+MbAay+SnfgiA7nZwjj2AUEW02jguwnMRqxdQU4WEWM7uwZcWeuXy2LJ5nPo05Z/7\nuTsyuFxvULtX5FrS3t79/eM//uMbrvOtb31rp6czwQQTjGGgqEvTdBjw3476ajeC/uPzkdv5PtZ5\nVmSF3TJOVMjDBxLv3C3hpD2QFrpf15Y5AV7cLozJ+kjtIuudj9VCx8LBs90hwQZIsHCk2FJHHRnr\nQ/cqlx6IfBj8BejlDoGQQym4ETbdVDIl5dCbJjcWvUziSQujFcKy0UYQJTm50tjWVpPNwRwzDMOh\nlLy9vkHjz/6K+I33iN77AFRGurJBdHUFE5kh6bRrLiYGO7RAgzYSHWuM0ug+iQ32l8gaMbqfFPb3\n1kjX2ggL/D0l4qUulqVRgFGGrB1TOVyitzLGbEzRZjxcCOgt9cv4XEkaZWCgfLBC51Ibb9oj6/eu\njlo9wgN1dDbKRgsE0s4xwoFeOlzuzVXRaUzeSzCqCIjk3RY6y6nsq9C+3Cacr6D6Qf48S/FnyrgV\nd0ioMYZw1icfcycHsBxDeOQgndffHC5zygG6mxDbNibPEa5DfvUCJo6pPPE47VdeJbz/PtTiOYTr\nEj7++Cc2H7l3SPbdP++akOxbxEC+I6UcGnxsJ8O5G4PaIIN92yf6aYQRgoF3p7FdhABhDNorFS0x\n8hwsEN0uxi8VhiFeCVGbQZii7ZdxfazGVXRpDoISoj/+6zTDO3ocnRQvPGO5OFY+jDxbC/sJpxJU\nu0FyaQWAvBtR/7mTgKH3dj/b3e+pKHyP9mvvFfsC7KBE3L6CandJl9eZ/ebXSJev0PzZaepPP1y0\nDgvKqF5GemWJZH0Vb2arM+TAhMTzvGFblAFxHCzf7Rfc7Xxh3on2D4Po+nh2O01Tok4L96W/LsoO\nhECnKa7qkesaAHJ2L2J9qZDcXV0Ey8Lbt5/4tVMY2yE+/wGyXKF0/BjZ0hLW3v13LHJ8rwxi1+LT\nMKhNMMG9ip0q6nYTaZoShuG238XbnQupvCBKiXQZ0OZhqywsHATGGYnJUy3wpIUW47JvgbbcIqEr\nBssgd7bKfJUBYfsMWSggLAchLfRYrXeOje0G6KGbuSDOBaEbDKXgxfEFwgkxSTFXSZQsSL0TQNJB\nWA70FeadXkq9Mi6Kh/jSZS7/639P562zRB8sQp6TtdpkzTa6PZKmO1M+pmewQgchNNgOeatw+847\nWdEKfMFDdTOydkH4w4N1krUWCAj2V4iutAsndcDowtG7cuQaQg0YAcGegGg5BmOwA4uklyIQI0I9\n5RUkG4ibEaWDNfJk7J4KgZA5djkgj0aKAH++hooj8o5EZxohC0Jtspzy3jLtxTalhQq6f55ZEhPs\nqeGEkrTdT/gATkWikmsItW/jVjw6V0d15HbZR2+sIIMAHUUIxyFfuoCJIqonH6f54inCE/djls/3\nH9IawvOwfAcFlJ98CuH7d0xZd68E+a/FdoP+nwQmJPsWkGUZjUYD13VJkuSmDT7GcSskW2uNUgrb\ntneUTd22PCvuknsVbJUVZmWWjURg3IBBiNe4PiLrQdRGLxzBWvoAJWxEpYrpS5OkLZFA3uviHDiM\n2iicO4XjItcukSkbhMASCtVtDU3SnFqF+PVzWIfvhwtL2Hv2Qt4jPfc+1oH7AHDm99B58yzu/Ayl\nRx8ib3bI4wh3aoZ8s039yyfpvH2OymMnWP+rn+DMTBEcO0rzpXeoPna06LdYDcjSnOzUD/D+s1/9\nyPthWRaO4wz/vRPmJLcDd9q9fJDddt/8CVmaoKFwqjcG0WugVpfB9bDLZbKrCaI2h149S/jIY2Sb\nxXfFmtuH7F0mXJgiX1uj/PRX7piM+3runZ+G57wbmJDsCSa4OxHHMa1WC8/ziON4R4q6W5mPDOq/\n75QLdp4W5MkIgXICZB6j+xJvA+igghFj72khUH51Sx01QpAGNcZdvQFSOwR9jexbBghGhBDLIcPF\nYtxQTaLwcChItrQd0ILYuEMpuKI4p8i4eABCFmXFAuL+Mi1Gz235hz/lyl/+J3rvXiBZWgeVodMc\nFSfkm6NjO9MBut3vR20bhO+TrfWP2csQtsQNDaJqkzULIl46PE28XJDL8GCN6EqLvNOXrBtIN7pU\nDpeIVj/s4h4uBESrSVELXbJJe4V6onygTOdSG7fmkvZGhLp8qEoWpVv2I2yNG5aJro6M6rzZKiru\nYXk2KskRliRrNTFKU9oT0r7UIdxTRWd9t/AkoXRgGts1pO3BYxXYjkal+ZbjOYGDVfdpXx4Rase3\n0VmGVSmj2h2EY5NfvQBxTPnRB2m9cJrw/vswq4V8XC2fx6pVcUKPwTdENzepnnyM9GJhglb9ylfv\nWDB+ksm+uzEh2TvEIIuplLolR+9tS7b7GMjCpJR3ZEBTSqGTHpkV4CQdtO0h8gSBQZWmkEnRJkTo\nrDBAc4Oh2so4LnZ7lRwHM7MXGXWLFl8CRGcNvbmGdjxkr+inrRav4D7wCOmZt4oa3CuXKD3yCOly\nkb1WqcI7dBhvzzytF14Ex6P7zhkAvMOHsSo1eufepffuWZLFq+C5xPYS6VLRU7v2pc+jo5Tg2CGi\n9y+iuj2qj5+g9/5V8k4bcXwv0p0iOfcu4Q2cGwdRxGtrkLvdYqC6FXOS8f3fLnxSLcLM6iLmzGnQ\nRVDKnpmDi++hggpm5QLO/Q+iNornZfwSwcOPw8ZVsqWCZBs3IJyvQxyRXFlj4b/9PbI7RLK11nes\nHORug7DujcF7ggk+TRgo6pRSxHE8DPxuFzsl2VrroZP4Tser7cyF8jwv5OKDv50Qh1ENNRS9sK1r\n6qgzyyMzW1tlZZY/7IM9QCJ8RhQKhGXTymyqffM0AI1FJ5PUhCxSvBR11NqIkRS83zN7XAqeDUh2\nJvAtGyEtTA4my1j9k++R/fCHJBdXyBsdUDnYVtEfeqMHuji2Uw/JGxHCsbA8kOUy6VJh7KXjHHwb\nW6V4Uy7JZjE/DQ9UiZeLeuLwUI1kub2lRVay1i5qqK8h1Epp/DmfeCPDZAq35pL33cZL+0I6ix2c\nirOFUFcOVYi7Wwm1dMCv1OleWhsu86Yr5N0uduCQRxnSscjbTYw2hPMB7UttSnuqqH59fR6nVA7P\nIi1FOvbIBAk62zo2uRUXy7NpL44IvB3YqCTBqZXIml2EJdFZhtGayoOfo/HCacL774c+oc4vncWe\nm8MKPQZNw0wUUXnwIdTVa0zQRIa0LJSUVJ7+Ih19ZzLM17bwvZfwaZiPTEj2DqCUGvYvhGKAuVHv\nyd3EgGAPZGA7/WHd7IA6GEBdy8ZIwOgie50noDVaGKy0hylPI7ubGNvHTC1ArvrH6Z93u4GYWYD1\nJUxQwbY9BD7oFcSho4jz72Cm92LN5EhhQGvk9AL+nA8bS2R9km2UwlZdVK8YDNwDh0mTS1Qff5De\nhfOky8uEx07Q/FlRT+OfODF0F/ePHqT5/KuYNENYFtUvPYmwDCZPqTz5IEIY8ixHdiPSTUPy5gsE\nj36Rm4WUkiAIhi2tkiSh2WzetdntT4JkG5WjX/jzItuwsYyY3Qtp0cpNBBWcYw9g9Zpk6/3nbTuI\ny2dg/iBcWUGEJWTcQjXWkAfvx4oU3vETJK3WJ2Z8djc909sJy7n7I8cTTHAvIcuyYckajIwnd6vX\n9Y2gtSaKIlzXHWazbyeUUkRRBHrUKzmVNpblbVkv1QJbOlvqo3NhIaTAqFGGUwkH2xaYfEQKU2MT\nuD6670MjLAedC6QboPuEL8PC0F+WdId11AiGUvChNF0IcEJI2kRrbXSzSfQfv8/6qZeJL62guglC\nK2ToY7Qmb/aKptwCrJKH6iQIS2KVJVatQtLPxJpMQeBjel28GZdkvbiGYD4k7puUhYfrJKvtLY7e\nyWqbcH+4lVALyNMcf8YnaaToVOFPFz2nFUVtdfdKFyuw0L0iqBA3YyqHqkTtrRJs6UlK9Rk651eG\ny+x6ibzdxi27pJ0U6dmkzcKgLJgLaF/KCPdUUXGRoMjjhMqxeSQZaoyvG9XDsFVJ5lV9bN+mdWm0\nou075HGEN1sjWWsWhDot6sHD6ZBms0s4V8OoQhGRfvAO/pHDOJWAbLV/S/Kc0pFj5KtXtl4fKaZU\nQvdGRnVOOcQ6cT8qzbGrNczm5ieSyRZCTOYjdxEmJHub0FrT7RZZW9VvHbXTAQ22P6hd23syy7Lb\nOqgNCL1j2+TSKb4wtjs8pnE8UBkiz9CVELqbGANCJ5Bm6MoMMmqhLQdRne4TboMp15Fri6jqAmJq\nloHcXAsLd2YKI/oThuoUYvEsYnY/XFrG3n8QtbGGThOS80UkUVZr+PVldNQjXS4M0Yzqv4QtSbbe\npPzo/UWv5UqV+MJS8ZltQZaSrrWQlqZx/gLlhw/h75lGSJs00SRvnN4WyR5g3Jzkeq03XNe9KYn/\nZ8HJ+kMk+90XobWOCWrAJlboky8Vg5jBwopWMNU54ApMzSFWLiKANFXgOATH76f3ehE0UUlK+amn\nh7+jO+3mee9Fju/+QW2CCe4VKKXo9fpZvrwgjrcyH9kuBvORwVg3mBPtBDczFxoE/D3HZiutE6Re\nGcaPLwS5E0A61iNZ2ijpINXI8TrHBmljDaTgQqKwyIWP7B/F9MlyKjzsvhQ8VcW7cCAFH6+jjoyL\nawyt02/Ra3SJvvuXLL1zhuzqBjrJEUYjqwEgUa0uJlEIG0xu0HEGUmCXLKiWya8WGWqjNDIoo5pt\n/FmXeK0438LRO0VnmvBQnbzVHRJsgGSlRbg3JF6LMf1MuLAFWZQVpmPNHJXkwxZZOtcEsz695R7C\ns4bJkqQVUzlUobfZ2yKul76kMjVH+/3l4TKrHJB1mng1n6QZYwcuaaOJANyZgKyXUdpTI+8VxD+P\nYqrHF0AljH+DdNpBultpilcLsT2LrDcyR7NDF9WLCPbMEC2tIyyJyjIEAq9kk6xBMF/D5H0TtE6X\ncKGOHTrkYzXb3lSZfOXyluNZUmHNzJB0R/dUhAFuKSBfHQUR1MYKptej/iv/FcaYO5bA+CzMEXeK\nT8N8ZEKyt4FB70mtNVprsiy7ZWfp7ZDs6/We3Knc/GaOPZ4xtyVEGgKhyP0qMo0wxqBVjhASHdaG\n7pl4PqIXQ6+FnjuAbK+jvQrSaLSQRfTXK4w8TJbjzMyQdvvuk0EIi4vkwTQ4LpY06DxHG4msVPEW\nFuhevoS9cIDem+9Qeuwx4vffQbfbWHMHAJBhiWyzydTXPo+wHTb+5nkUUHrsERo/fRFhW5Q//yDe\nwhzrP3wOshy7ViE8to/euRVUt0P56F6EN0V6ZZFoY41genZH9xhGNcjj2e1Wq7Wl9cYn9ZK805ls\n021grhR1S0Y6WIeOg84hTUBaSBUhVI7KFbge3t69JG8VYWW9sY57/D6yrN9qQ0hUr0fly1+9Y9dy\nveNMIscTTDDBnYbWmk6nmPgrpVBK3fJ7aDvzifGA/0CavlstST/qeIOMublG3g2QSQ+pxgi1EETa\nI2C0zEibnnYpj22XG0maW1T6f0vbAQXtzKImBBgzrKPuDFzBDWS6uNe9TGK1emw+/zydZkz0Vz8k\nv3iFfLWNzhQCgzUVYoSNidOCUHsStdnD5INstUSWy2R9OTfaIKtldGsroZYiRylD1s0JD9fRUUSy\nMcpGJ6stSvsCorUEnfbbc3kWaS/BnXLJ2goVZQTTPmmckcc53oxLtKIxthy2yEo6CZVDFbrrXcQY\npbZ8i9qxBVrnRoRa+i55ZxN/pkS83sUp+6TNZpFoqPmknZRgT4W830ta9SIqx+eHZmoDqLiN7W8t\ncQimK1iWIR3LlNslH9XpUDowT3dxpSDUffM0xzVEQhDO1wqlZf945QMzWK41JNQAti9R2daabcsR\nOHv3Ep0ZZf3dWhWTp4x337a6DXRrE2tuHrW6grNvP6a5AUDl808N5wh3am517XzkXsGnYT4yIdk3\niQHBHsih0jTF9/1hL8pb3ffNYCe9J2/lnMbN3PI4AiEQRhMJl5JK0F4ZK+0ihIXySlh5ipEWIo2K\nyK8XDmuVCErIxhLKDtHzB7GS/sDguMjWVUw7RZSqmLVFBJCvLuHf/wDp4qXi2htNwgN7yPuTCuOH\nlE+eRGQRql28EKOLizjT05QefojNZ35K7+0r2HNHivWlJL7Yz3LnCrtUYu17P8bdM0dwZB+tU6+h\n832UHjmB5Vj0rl6l5NmkTon81N/AL320Adp2cG0rsDiO6Xa7w9rta4M2t5s43nGS/faz0OzXZEkL\n2V5Gl4oAhjx8Av3B2wCozXW8o/dh+lF0SlW88jRi+TxZuXB8F3v24SQJ8shxtNaTyPEdgPwU1EBN\nMMFnHQOCbYwZBvyDICBJkl3pc30jXC/gv53tt3vs8YC/4zi0UlVIsMfWj5RLWSaYvoxcWA6Jtggt\neygPz7HItUTY7lAenmkLxEAKHhXFw4q+FDxEJ10S3VcuAdHbF2g9f5q4m9P94TOopXVUMx4SZnsq\nKHxpUKA0smSTr3eHZmtW2cYKfdKVfmbUgD1TI19r4s95xGsJQkqIo8LNu5vjH6hjqYS4MaJ6yUqL\ncF+ATjUqKa7ZKdnE7RSn5qK6mryX4tVd0qgg1G7dJckVamz8SjtpkaFeH0mfoU+o79tD6+yIUBtb\nkrY2CBZqRMtN3Ho4nJPZoYVsWQTzZbJ+L2kVRVSPzWHSa4zT4g524DDWFpxwfgqhU9JWNLpXoY9q\nNSkfWqBzcRlpW6iobypHirDkVkIdxVQOzSItsYVQC3J0vvW7ZXsO1p4D9N5+e7jMqdcgam9ZT7c3\nMZureEePkXzwPs7efZjmBgIIDuyls7qCPTOD6W4g5xYwM3OfmOnZveY0/mmYj9w7T+MWYIyh1+sN\npdlJkuD7PpZl3XLk9mZ/iFmWkWUZ/jVtAW7XoJamKVrr4QCq+iYj2nIxmCLbaA9qoCRG5Yg0Qldm\nEHmCkTamXEdoU9TaDn74SYwtDaaziRESmXUxboDotbH3H0LEPUy5jj27gOg20a0GeD7uzBR67Srp\n5UUArDDEXDoDbgiAvbAPb888bmDIVlcQxuDs2Uf3rcIQrfzwQ8SXrgIQHDtEo1+jnS6t0jtzgelf\n/DL52hKd02+Qb67i79uDcELSRJGefW/HaoGPu/ee51GtVqlWqwC0Wi1ardYtT5TuNgxIqblyFrrN\not+6EEXWGjBxhJjZQ79CAOOFWPVp5OZVVH+wlnP7EMvnMdIiv3wJWakSzM3j7j9IhqDZLCR1t7sm\n8F6PHEvH+tj/JphggtuLwXxkEFhM03TYwnM3Msk3s/1gfnDtfOR24NoSOYAsB+xgy3qZsTD2qNWV\nkUUOSVmj9XJTvKMy2V9P2kPTmFQU85lB1jpfW2f5z37E5X/xf7L0z/6Ay3/3V7j0hV/inV/5x1z5\n5/+GjX/1x6jLqyAdBqXXdsUl34jIV5roWGPVXGTgjNzMAWemiur08Oc8ECADG7XZAgNZJ8PfXyXc\n66PiUZY1W28hfIHljd6xXs0l7WTYVQe7VNwXp1Ko4lSS41QtLN8mV6ODZ92CUKt4a3LICiTV4/Oj\nBQIUhrS5QbhvCgB/tly0s0IgHYXlWgSzo1ZnKo4pH5nFZMmWfZs8xg625vPCPTO4gYOQY11HXAud\nZpQPLRR/Oxaq08/s5xHStQnma9DvUqOTlMqhWZxga/bbZAlaXesq7hEszGxdNj+PTLow3uKu00Cv\nXiV88KH+OguYzUJJ55SL74w7P7pP6vL72LNzyH5WPnjs88RxTLvd3lJSertwL/vDwMfPR66H73//\n+3zuc5/j/vvv5w/+4A8+9Pna2hrf+MY3eOKJJ3jkkUf4zne+c+vneMt7+IxjEEHNsgwhBEmSbMk4\n7gbJvtH2eZ5vGUi3u/2NcO32aZqS5/mWjLkeRH2NwBGg3XAYRdZ20feRLEbLfgsz20HkEeQZZnov\nIu0VxphBGdCIuIfYewQZtTBeCeb3I/oRaBNUsKWCUkE+7f1H4Mo55NQ8utvBe+BBsvfeKM51fQOk\nxD90EHXpDMJ16b53ttiuNotVLhGefAi7GlL7woNUnziOt2+e2tOPUP9bTxKcOIJdC9n462fBDrHq\nNXrn1wrX8U6LXEvSZpv47Zc/8t7d6kvNsizCMKRer+P7Pmma0mg0hqUJd4I03k4YYxAqg7MvwuD7\nsfcoolcMoLq5gV0OMP3MCNVprKiBkQ5q5Spyeh7Zr9kXUwsgBP7eBdT6KuFjn6dSqVAulxFC0Ol0\naLVaxHG864ERmESOhRQf+9/18EkMbBNM8FnEQFGX5/mWgP9uvYNuZizIsuxD84Px7Xc76H+97i1Z\nrkkYMzrrk+WeHi3TfbLcUyMSlqhi+27en7PIon1TdOplLv+rf8ulf/q/cf53/ymLv/APuPJ3/nMu\n/+P/ldXv/AXN/+cv0I0OMgyHbYPsqYC8EZOvFoTanvY/VCPq1EJ0N8Gfc4ssd9UjW22MCPW+CuGM\nixnLsuaNLlhFJnkAf8Yj6+VYFXtIqGXYDyIkOU7Fwik7pMmI1GW97P9n781iLcvuMs/fWmvPZz53\nHiIiMyJHpzPTCWkMuLrBCES7Wo26RKtES7TUCCEeQKoH3kDqh2oJBN0v1bK6hHp4gBYWSF3VhgdM\n4aoyg42dmEzbOdg5xjze4dwz72mt1Q97n+nmjcgYM52O+0khZe6771lr733uXuv7D99H7UR1Vg02\nuVWBpH5m1v4mlEDnmqx7QOVEQUTD1To2LTyuEQnKd/CaswCGSVKqjyyj49HCZwsyvNqijW2w2sLx\nxcK9kdJisozqqYJQK98l75WEOh2hQq/IUJc95DbLqW23cYJFsm7GY4xZvD6vEhCtrywcc1pNiIcI\nd+73rcF096h84pninOUVzH7RYy1t2e++sTEb68p5/JOnEPmsdF0YQ/jISfKrRfKn+uJnqNfrhGER\n2HnQiZOH2b4Lbr0fOQytNb/5m7/Jl7/8Zd544w2++MUv8r25KgaAL3zhC7zwwgt8+9vf5qtf/Sq/\n9Vu/NdW6uFscl4t/AJIkIUkShBCFwrbnTVW94e4tuA7jZmRnYslxFMG+Vxw1Xp7n09Kz+Z/rPEc4\nPjpPcDFkXgWVxcXilmegFLbSQpRkCKfsM46H2GoDDm6AF6FMjFY+OC5GShTFYuiEbuFxCThRhNm5\niPZryHoTFXjkFOTb2z6J6ykSnSPCKunVK9Sff5a0FKBwVrfg7HVUs4H0HdyWQpLS/dpLAFSeeZqD\nv/9WOUdF5cxp1FITC8QXr+K2mwTbbXQqGJ29QiQh8eqkr36D6Jkfva/3/zAmqrDzVmATJdUH5T/6\nYZFs78KrhYK4pAieTITDgioqWkKM9jCDGIREBQFGZ9jGKuwf4NYrpDtFFYJRHuFjZ2BwQH7jOv4n\nPgUU905KSb1en/a9T8oL72ff+1GL2sOEO+2BmixsX/nKV9ja2uLTn/40v/ALv8DTTz89PWeysP3e\n7/0eu7u7PPnkk/zyL//ywnv2GMd42PFBAX948EH/+YD/h7GZT9MUrfX7xsu0ITWSoLTFQiowkBpJ\nxXGxeTbNWudWIhwfTE622yH5+jeIX3mNzt4N8tGI8ffPYfoJNp3sXUB6LqJaQTkj9FDjNELygzGU\nnbnuWhWSOclrURLFg2FR8r2X4i+FZDsFccwGOcF6FaU08d7s18xwjK45OKEiHxdkMVgKyOIMVXUQ\nSpEP01KkVWNSjVt1Ua5POkyn3dLZKKOyVWV4fbHkW7hQP71M950iGytdRZ6mECdUTy4zuLBLtN6Y\nKqajxzihi1fzSLul6FuaUznVRg8Gi5+tLEEjZHhjlhUPluqYUR/pKkxWlu2bDJ1pqidX6J+9jgo9\nsn4PgcCMB7jVAL9ZwZYthDbXVDeaxbObu8X5cIgTLVYvePUQt91i8O7F6TGnVcf0u6jQR49LUbM8\nwWQZla1VBueuoJpNTOlewmAPlMLf3MReLhI0Zucq4RNPIkw6X4SAt9Qkv3R2QfjNcQS6UsHmGeFT\nzxbjlcK3lUqFLMtIkoTRaHTfXWYe9kz2nexHXnrpJR577DEeeeQRAH7pl36JL33pSwt7kY2NDb77\n3e8CRYBkaWnpnvchx7uYW2CyUZdSLihozuNBlotPlDQnpek3+/37FSG7GaEvBM4ycKsRM3l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TrDAt6Tzy7ej7vYF05cZsIwvG2xtMNJksP2oj/suJP9iOM4fOELX+Dnf/7n0Vrzq7/6qzz99NP8\n4R/+IQC//uu/zm//9m/zK7/yKzz//PMYY/iDP/gD2u1702E6JtklJgTbWosx5kjBjaNwP77Qk4Up\nyzKMMXes3HlUT/ftYLJwf5CI1iiTSHJQLkIUL6VcumDSQrETiYvFugEkA6TW6LCBGnawCDA5Rjoo\n10fKMvIkHcS4g1UhBBWkLheqUSHGkZX9MSqMEFevYgnA9XBshtEZaZwg/AB/c4PRK/+EWt1Ev/EW\n/omT6M418uvX8R7/JLxzGSsEwzfPET11Bn9zjfTaHpXHN1H1OumNXRo/8TxCSiyC/j99F6s11Wce\nJ+/sIsM2ve+8TvToJkllmeTSRbJ+D7dWv6N7/WHgcHb7cEn0UaV+DypIYNMx9vp74PgInaFrm6jd\nwuZCOC4i7mKcYkEUS+twsYt1PIhjZNojz4uFQzRaiMvvYv0Ic+MSzskzkIxwn/zU4nj3kJG/E7G0\n+XEe9sjx7eCjWtiOcYyPMyYVdUKIu94X3AvuJuD/QUj3O+SdA2588f/j4B9eJj53FTPOwOTIyMXk\ngnyvJNQOSOVgkhzpOyhfYKUkPyjmZOIM4flIB5yWOyXU/lqVdKfIkgYrPtnQkO/3pnPIBhmVzZCk\ns0ioERan7iAGmjzWOBWPdFRYWMlagEOC3wqm/dImTnFrbpF9nvsoneWEKz50xbQXPGgF5HFC7ZE2\n/fcKoug3fPI0KQl1g/7FLtZVUFYx63SMt9JAj4ZT4S1rLNGpFumV6wtT9wJwTqzQv7AzPxFslk4J\ntQo88uEIAYTtCtkwIVxpQFllpscx0UYLN3TJ+7PsveOL95VWYzRes8p4NCPUfquKUrJwDZlm5h3M\neEy0vcbo4rXyGkrBOWEKXZ1aBTsuCfVoRLixDGFl2kYG4NYqIBYJtd7fRTUW92Buq4lTrzDuzVc5\nRIh0DEpBKbSrsjH09vFPP07y7lvIehO6ZW97u0F2Gdy1DdgvKrBE51rxXZNz6/2gS/D4k5i9Kwju\nD8me4E7E0h52jZg73Y98/vOf5/Of//zCsV//9V+f/vfy8jJ/8Rd/cV/mNsExyWbmPTnxJL6ZJ/XN\ncLckd/738zy/p4X0Tjf8E2sMKeUHjpflBl8ZYkI8coRUxXjWYrwKqiTeVjnFgmAtRueodIyJWqjR\nPkb52HaRgQTAdZAjSz7sIde2sVfOYYRE1hqIUQfb2UM0l7HXzmIdF33tOv5TnyQte2Zsp0N45jTp\nQSloEUQEjz2OFzr0Xi2ijclOEcWNnnsOvdchvXQB224wfKP4jGhplfG732cMhI+eJN05oP7i8wzf\nepfB628Tnj5B1hsSPbpN3h9DIyUeCJJv/Sfcz/23d3S/7xZ38706qgSp3+8jpZwev58VGEdBXz8L\ntsj6ZtWlonffaKyQUGa0GfVh/ZFp1tr6VZQXQdzH7l2HqIo0OYYi2y2bY5SJyfb2Cf/5f78w3v26\njg8SS5v8zUzwsEWOpbrza/0oFrZjHOPjCmMMw+EQay1aa/I8J4qi265sm2Sh72U/kmUZ1tq72o8Y\nrem9/F2yTpedP/sLht97h+TiTqHobXNUNcBaSbbXBwPSl+hhhtUG4SlUIEC6pWUWmCTHbdUxcVz0\nSJeE2q04ZAdjDBCseGjtTAk2lCXfGyHxbsI0FS4EWmvcukM+0OhY47UrZHGxJslmiHMQE7R84l45\nfpzgNlysWNxjGWPxqxJ6M0IdLkXkcUr9kTa99/bKebrkSULe71HbbtK/dLCgYq3ThGCzjRnPssXW\nWConm8QXry6MGfqgTqwzvnBtNo8kxeQ5btUnGyS4tZkA2YxQ17Bl9l7HMZWNFk7gkM+1lysHTLpY\nHi8E+I0Kw/FMjM1vVRFYhFLYCXH1CkJdObHG8PzV8hrKvnKdgpQ41QiblLZg4zHR1gr44TRDDSB9\nF6EWC89Nt4NaWlqYl7vUxq1XGB/MxNlUNUKMBwjPw5bXIaxGZCnBmceJ3/o+slpDdvdAgBM4JIC3\nsQmdouLR7lxC1huLglpJTPDYE3CwGNxw6xH5TqFT5D3+zMLP7hf5vZVY2lHVpw/TXgTuXIj1o8BD\nT7InBFtrPY3eHqVoeSvca4nWZDGNouiu/jDv9A9r3hojTdNbzl0biymFzoaZQ+DEaBUi8yHSGmLp\n4tsc65fl4dZivABhLQJL7rgoirJvbAZJivEj1LiPEeW15jEiS7CVFmp8gA3rwDWc9S2yg11sbQXX\nrSPTMTZNoFLDr69ir72H7pdKl8pFDnbR1VMAyEaLpNuj8SOfJMtz0ksXEEFI/zvfB8DbWKf7UmEb\nhKOw2pJ3uhz8/T/hNOu0f/afke9cxxqF7t4g/MSTpGlGlmjSt96AD4lk3yuOKkGatwI7qvz5XpHH\nQxiUAhQ6B99nuj9Z2kLsXizIdjJABD524mUZVRE7FzBRC8w11Nom+koRMDHa4i61EUpBp4vaenRh\nzAcRLDgslhbHxQZhNBpN3xEP26J2p5HjYxzjGLePCcE2xtxRRd0E98vW0Vp7W8Q+3e9w8HffRHcO\nuPHvv0xy/irJ9S5YEMLg1AOscIsgtSnKr9MbRVZOegoZSqyWmDJrblONu9Em7/bxmi7pQYZQApvG\nmKQIuAarASiX7GBWApwNciqbLuNMYib2XJ5DOs5wGy55P0cnmnCjRlZqt6hWCJ0YL5LEZbLbjGLc\nljfV/5hAOhKv7pIO0mmJcdgO0MkioZaeQCeQ9ftUtxsMrvTJ5z5LZzHRyRXseEYOrTFEJxuMzw9n\ntdOAp3LEyQ3GJWlFCvR4hDB2Sqj9dnVKjIN2hWyQELarUwEyHcdUNtsoV5HPeDLyCEKtHIlXixhe\nnYmjeY0K1uQI18FmpaibqzCjMZUTqwzOFXMz2pTPL0Y4qiTU5TNNEirbq4V2zxyhFhIQZsGH2g76\nqNWVBZLtLLXw6hGjuRZzpxohhj1kNLPnkhiE1vgntonffQ/hezAqAheqLBFwN7YQ3fJ+7lzGWV1H\neTMaJIzBP/UIdBfL711fodPF6gcV+phGG1mpIauLWfX7vR+5mVgawHg8nma3H7b9yJ1ain4UeKhJ\ntrWWfr9PlmUopUiS5K58dO+FZE8i1Uqpeyp3vd3xb2WNcRTSSS80bsGUrWZMSMVajHLBGqTOSL0K\n/mgPlIPROVIq8rCBmgi6eT4yTmDcI2ut4904j/WryLA+DTLTXEJc7mCkg3PqcSZhVusGOPEe1msB\n4Kxukp19E9Fex954G3frBNmV9xB5Rt4tVku1vY137izZ5XPEg+IawkfOEF98BeEowscexVtdAamQ\nlQrxuavISogZjqk9/wT7//FrNH/iUwzf/D7R6ZP0XvkOlScfIRlVyDp9Rm+/RvT4J2/7Gd0t7tfL\n+mYlSJPy6Hv5/h1GsnMZv/TixA2Q6RCRpxBUitA4gBchliuQDqG3D1ENkRWRdotEnnwMYTWUkW8V\n+Igb1zDtLZxHn3zfy/VBlk1N7p3jOBwcHKCUYlD2qD1sCtjS+cFf1I5xjI8jrLX0er3pWp6m6R0H\n/OHeKusmFXWH9SistfRefpXBt75NtrvH/l/9HcnVXbLOuFB9dsCpBQjXL8iYAVVVpDsFARKuwqkr\ndDyjTybVBBt1su4AVRJqFblke12sLkut10Kk75LszLK8WT8l2lDkfTE9z6mHxP0Ur+WSdnNMqgnX\nqyQHA3SqcZcqsDtEzOWQzTAmWAlIR4vkyQ0dVFCKl5XPwqt75ElC/dEWvffKPmdpyvn0qW41GO2N\nyZN0Wt5t8oTqI8vo/kxozBpDuFFjfLbLPLt0iRGnNhidu1LeLwc9LATv3GpANoiJVurYvFAo99vV\ngmQ3oqkAmRnHVLfaiENfF6XsNIgxgeM7uJWA4ZVFQk2eIj0XUwqdSc/FDBIqW6sMzl0pLKtKsm3j\nEdJ1cKrRVEOHNCXaWgXXw3bmWLHOigzz3BzsaFTYdM0JQjvtFl7kMR/icGpVGHRRjTq63N9JLMJa\n/K1Nxm+/U4iblYRalP3W7lIbkZcl7Qc7eCcfRQUezFmA++uFiO7CvRE55hChdmpVWN9GX7s0PSaz\nGHdzG7l2YuHce60k+SBMKhXn9yG9Xg8pJY1G44GM+YOKj8N+5KEl2RNRj4mwx60srD4Id0uyJ96T\nH4Ytxvx484GED5p7lhuEAF2YM2KlhzMhztIpSoGAzICv80LEatTF5Bn4FZxsVHhkZ3Fx/qSkHApL\np94NTNTCVhqF2AmFnZOjx+RlL5DyXeyNAdqJEJUa0veKz/AjVHsZf2WJ7PJF8H3SixeoPv88+Tgm\nGw6QJ05jvv1GMV/h0vwvXiDfuU7/H1/GxAlOo07aTdD9IdL3WP7nP0Vy7QZYy8HXX6H23FPE5y9T\nffYJ0p0DXM8lHrsEr3wNPgSS/SAwX4LU7XYxxtDtdm8psHG7yPqdos/LGpAuNis3WaMeprGKSErR\nFi8sLNr8anFuaw2ungUKYTSVjzBBER0Wayew184XdiDDPt4Ln33fuB+GAN2kH3ty77Is+9D+dn9Q\n8HGIHB/jGB83WGsZjUYkSYJSaprBvtOAP9z9fmQSgLe9Pnt/+w3ScxdJrlyn+/ffIr1+gCnVtKUv\nUIGHCEOwI7BFuXC2HwMxwlW4bYfsYFaLbDONiirAGOU7ZN0cb7lCcmPGeMLNCkJCsjcnGjbKCCNZ\nZLNLQu2tNUiHQ/wlj7STYzKN3/RIDjLyROOtVkhvDMnnSpzzwYhos7JgmQXgRg5e3aF/cUbiVSDJ\nk5T6Iy16Z/dBFDamAFl/QHWjTjI26LlMsDEJlRNN8oM5Qq0NwVqd4eBggVA76YDo1OaUUKtKSD4Y\nIVQ87aGOVuuQxghr8do1skHxs3xSuTceU91qgzmccbfoOF445kQ+TugyvDwjk269CskY6XtTKy7h\nOJi4KOMenL0CUmLKe2hGA6Tv4VYjbFbOIcsJt1bAWSTUNo0R3uK6aNMUf2WJZJ5QL7XxXMm8IZpT\nqyCGPZx2i3y/OFliir7n1RXG3R7CdaAsrRfDLsJxcJfbiNIAXMZjvM0NlO/CYPa83XoVhnMMG5D5\nGJtnC+TfqTcwfkB+/p3pMWEynFZrSrJFGEF3FxlU8Z5YbIWa/O096P3IxCZsUqmYpulxJvsHEA/X\nDnEOSZIQx/G0/8jzvLu25rmbRW3ee3Iyh7vF7Yx/t16XWW6R0sWYHE9qBsYnkhnC8bCm6MvOHb/8\nIgmMUCgAqcBqRDLGVJdQvRsYJ4Dm6lSAwnoeUgiIx4j2CrZfvABVGCJGu5hJv/Z+0QuT7+8SnDhB\n2ikiyTrLCZfqmHLxVSubVNdOYa6eI9krX8LSRbVahE+eZvDNl8Fawqeew5RK48Hp04xLdXF/a4P9\n//gPmCSl+uyT6PGIvDeg9qOfQiqNU90izTKy1JBcvEAy6GLtg/sjf9DCWpMX8qQsME1TRqMR1tqp\nMvmdbPKsNcR7V5nEq21tCdG9hkEi/Qibx8hRt1DlnKq5AKsnEBis0VgE0pWIJMPGMfghstbAXr+I\nVU7hTXnmmUPjPtjI8QTz2fKJjdrDtqgdl4sf4xj3F9ZaxuPxdA+QZRlBENwVwYbb348YrRm88hqd\nr36dbHeP4bvnGL/2Dtn+EJuVa2ooEa6L06yRxiWBFJKsm0A3QbgKr+2T7s7IjLAGawRuTYFWpL2M\n6GRr6v4BEG7VIM8WepNNZnArAiGLuCtAtNUk6fQIlnzi/RSbm9JqC/JY469VyPZGJL05e6zeiNrJ\nKqPdEfNwIkU1qtC/NOcpJS15nBUl3+f2kZ5DVmaj036fynqNHBer5/qlyYhW66SdGcm2ucFfqS2Q\nbKRADDtEpzYYlWXVbquOSVJEluFWArJhTLRUwYxHYCzecpNseB3Hd6YGG4yHVLeWMIf2iMoV5PFi\nxtWrRkhXvo9Qm2EfGfqYSWuWFBitiTaXGZy9gnDUVGTNDAao0MepVUCXn6810cYyVjnYg7nMbzyC\n6qH9pM7xahHJ/kzZ3G23UGJRkdypRjDq4a6tkF0vhMdkuXfw2k3y/Q7CcWYZ6oU+P+QAACAASURB\nVEEHEYY4jRrClNeRp3gntgshtcEsuOAE7syhpIRIBlBaxk7Pay1Ba4n07Temx6S0yGAum+56iMF+\nob/iB9gkxlndRAx2IB3hnXlqYZwHaYs6j8P7Edd17/qd8XHFx2E/8lCS7Il6sJQSrfW0HPTDwiSL\nPvGmnvhx3y0+aFE9PN6d/G6mDb0koOIUWbs0ByliUhnh6h5ISWIsgdCYsD617RKOh9Up6BQz6csW\nCvIR5BZTaSInspxSIuMeut+BSgPRuYJ1Q+yog7uxSXr9EgQVnEYdervond1CgDRwsZcukAfFy9tp\nNkleewW1/Sj26qtYIRBK4VdAWaalX8P3CpELWavQe/mN6RyEkNOo7uD1t2j9l59GOJbu3/8D1Wef\nYvzeZRo/+jxxd0xY9dAv/w288LkHTrQ+DCJ3M8GvW9lZHUZ6sIvNU6RNIahiKR3ahML4EWAhS7BL\nW4hSzdNmKUJOz0SsnkDcuFCo/O/fwNk6hUnLxbO2hB9FyOX1hXE/zMjxw2zfBczK/Y9xjGPcMyY6\nMEmSIISYZqfupULmqDU9vbZD52sv0fv6tzBJwvjN9xi9e5G8l05Fu5yKAuXiLtVJr3cRjsBkFJoZ\nvYJQ+ysR8bW5rK8nyAcJbt3F5oasnxNst0iuz8hmeLJJ3hsszEcIg4oUaZ9pltdfrpLsdwlWAuLd\nFGsMedlvm8U50WaNvBeT9ubst3ojqqdqDK72Fz5feoLqZpX+pfK4AJ3nWK2pn2rRO9/BrQXosiw6\nHfaJVqvYIISyX1oIgZWaoOKTznFnkxfl52mnMzeeg+3uUTm1zvB8IUrmryxh8xHC9HEqAfkwJmwG\nRXm3sbirTbKz15BKzHqQR32qW+33Z6MDST481BNcr+E3owVCLSsRdtBDhcFU/AyTgzFU1pfon72C\n9Fz0oF8S6j4qCnDrFUQ2OV8Tri8VrX9zKuxmNEDWm4sl38bi16sknXlC3UaVYmdTpfFaBTHs4m2u\nk14p7o8Uxc/cSlhks51ZhprePrJWR0UBwpaEWmu8zU2kzWAwm5e0GnE4o5+niDAqgheTeS2vYpUi\n68+CPVLJWSChOIAY7EOeIRstTLeDs7aFyIsydffEo6TvfA8ZBjAAuX4K4fkLY39Ytq4ftX3sDwQ+\nBtf/0JHsLMsYDodIKacL273iTjLZ896TE2L/IP9QjhrvTmCsRE2CcsIBcgSWYaZoWoP0AkwaI60m\nVj5B3MUqF7IY4bjY2jKiDEtbz0NmQ2QywtbbiN3LWOUWvTo5CJ0jVrbg3BuYShXnkSdmZVb1Nqpz\nA2pLcOUG3hPPkL31Org+6ZVLBE8+TX6jFOFAgRDUfuzHGHzzmwAk10vrjFOPMvzeJWqffg5RrRC/\ncx7d7RE+8QTx+Ws0P/sCNjeIwOXga/8IQPMnf4T+66/R/PSzjN47j7uxTDxKid98A/eFz931s/lB\nwFEv6sNWYHEcH2lnNQ+tNUmnqDgQyYi00sZNS2sO10emA4QTgBdglELlKdaCCMLCziszhdJouWDZ\noI50a8jhHnpctg00G8iw+oFekQ8KR43zsC1yH4fI8TGO8XHBfMA/juN71saw1tL75ssM//G7jF/9\nPljD8K2zpFd20IMZEXEqChwPf7VOcr2LCiX5UAMaejEyUHhLFeIrM/srr+mSdYZ4TReTavKBxm1F\npHsDdJyDgMrpNvEcwQZwVI7T8hhdm5FjGXmk3SHhasB4J0E5kuSgGCsb50RbNWySk45nBCg5GFLd\nrjG4tEioEYbaZo3+5eK4dBV5moJl6jcdrNSxZTlxNh4SLleQ9SqmXxBlgUA4BtfTpHMV5TbPcZdr\npAez++BUQ+juUzm5yvBCIZDlrS4jkh7EA1QUoEcxQUWS9wFj8Fdb5Gevgp1lc8WgR/XE8jSQMPt8\nn7x7KAtbbxDVggVCLXwPO+iiohA9sdNKEjCGcKPN4L0rqCjAlPZPeb+HUwlxG9VZ25YxhGttkApz\nMCP2ZthHNluLcxACr1kh7sxlyZfbqHy0YJFViJJ18TfXSS4VFYOy3AM6nkMKBaEuxdnEoItsL6Fc\nNSPUgLu+hswTmAsuyHT4vhJhqVNkrbZAqMXSMm6tTrI/p1zuuTDqkk1KJYRAjDqINEaV/dZqdWPa\nx+2sb5F2O6hqFcrnr2RxjSIu5q5OPcFhfFjkdxKQm8fxfuQHDw8Vyc7zfOo9OfGI9jxv+t93i0kE\n+oNwM+/Je1Unv9nvT+zIDo93u3PXxtJLPHylcaRAl2NkwsNXFnLQVhURUSHRViB0iqm0UYM9hDVo\n5aLyDOu4CF3YgiAkwuaIPMU2VpDdHXK/jm2sTCOSVrmo8S46aAKgajX0jYuF3/bSKsp1yADRWsVz\nqsh0QH6jiJCmN25Q/5FPTXuHRKNN/N55VLVCsLVBtnOD5MKbIOqk13bA9+i/9g75zj7j9y7Q+MwL\nDF97l+aP/yjdl7/LwddfpvHpZ+m/eZb6c09grCTXgvj6Ls75t+CJZ9937+4HPqw+45uNcZQV2Lyd\n1aTVAWDc64HRCMC6Ibk2ePGg6MMvpcWFzjDNtVlPfqUBw24RR+ntIdZOYuNyofQj1OgA6wbY6xcR\nS+uIeIx87Pk7uob7iaPE1R62RU3Ih+t6j3GMB4VJe84k4K+Uuu29BEDe7bH3l/+J7rdeJX73fCFK\neu4y2Y0uJi7JnCh6jIUX4K8VPdBORZEPNDAm745xGgFOzUePZhk+fykk3R/gtT30KMcktmgPgyLo\nKaH6xArji3OlwxYkKdFqOCXUQgq0BT3OiNaL437TJ+sWJCUb51S3a2Ds1DILCkJd266RXprLMgow\neUZ1q8rgcpHx9KreNBtd227Qv9QlWG9i44Jw5+mYoBXh1AJ0L57OUwWAXcwWg8VdrpN2Z1l3v1WH\nbofKiRWGF4vqK3e5BcMDRDqeEmrf04UzpTH46y1G713FZHP7ykGX6qkV8uEAMVsBcWoR+X7MfBGz\nrNWohC6DyzOCqByBHaTIMMSMi/skxwOwhnCtxeDsGLdewSalTVevh1ON8JpVGJdk1lrC1RZWSkwy\nI6S638M5TKiVg1evEO/Nnq+zvIRKhgjXne6tnCgsCPXWBsmFsl+5bAJQE1/puQy1GPVRq2tIYaeE\nGsBdaiH1YoZajQ6mQffpvbGmyDCPZ8ryor2MCnzM7swn3ImqyP5e8fuliJkY9xDJELV9Cn3xLGpp\nDVFWyU36rZ1GE8q+fZX2QQikmT1H0dvD2ToF/SJzr04+zmF8WN7VR+17jvcjP3j4we8av0/QWk8J\n9kRBc6Lcea+9r7dLktM0nY47/8dwryT7ZsiyDK31+8a7XcQZDFMHRxpy4xVK4lgGuYMrNUb5TAqd\nUiRSUJRcl18rqzys0ZDHmMoSJCNQHqZSx8qyizsq1JmtMYhaDcqFSXouIk8xo2FR/l325eg4xms3\npmXd+CGuTJHVgoyLRptgfRV9/m2S62Vmtb1C9blnCNcaDF57FTMaEp55oiDYQPUTnyAvPbXd7XW6\nL71Ktteh83ffwltZZennPkt64xrVM6dILr6HVwmI94bkWpC/+tId39cfFNzJd24isNFsNgmCgDRN\nOTg4YDgcEscJeakmrqQkdUOUlKAz8soScpIaEAKbxYiJOWe1WVT7+CHUlyDuFkrjFFF6kSdYrwKu\nh6pG2M4NxNbpI6/juDzrw4F01C3/HYUvf/nLPPXUUzz++OP8/u///pHnfPWrX+WFF17gk5/8JD/9\n0z/9AK/gGMf46JFl2ZRgzwf8b7YfGbz6Buf/13/L6//Dv+LbP//LfPtn/yXf+sl/wVv/6ne59n9/\niYO/+Tbdb7xGerWD9D28tUI0UoUKPTbk3RHJ9S7+Wg2nueiI4FZdsr0+/rKPCiQqLPynAfQoRyhB\n9fFl9GiuJ9iATYZEq+H0kBO5pOOMdFQQaoBoNUKPi+tLRxnVk3Xc2mJFXXwwwqkvvjuUr8iSmOpm\ndXosXIqw2pAnCZWN4vrc5Zmass4SvHqAdOfun7FFb3iymC2WjiRYbS8c85ca0DugsjXzZFblvRJ5\njAwKwucWuVis1oTr7dJaa0bYRb9L7fQGJl5M3jjNGlIuXqeshETriwRX2RyTJIWwHCCURIx6YM30\nXK/dmLqv6H4XpxbhzT1XYS3BahPlLbYH5v0uHFrClO/hNqsLx9ylNnI8QPgzkuuEPuQ5/tasXUuU\nmXnHZkVm2HVnGep4hNrcxF1ZRsx9p51GFXXIlUP1999HmAQF+V041l5CRcHCMRlGqHEXwmj2edmo\n6Nc+WewXZGsZMdmjhMXvq9bs+cv+btF7PacSIMYDnFOPvU993FtdLQdx3mclCh9t0P9hw8dhL/JQ\nZLKNMQwGg6kfdZ7nCx6Q1lrG5y6x/1f/mcHLL+Mut6k89Sjt/+rncVdWPvDzb4ckZ1lGnue39Ly8\n2z/Oo6LfWZbdlsfmreY+TieiCpZO7ND2E1xXkWYGB82QkIoZUug/gicsOmwgyxevFaKw98hS8qCO\nsmbqkW3xi8z1hHA5Ls64Q55oaCwhyheb7XdxWnXSsuxHVauI6+fIMwVSooQmH/bRUfHCDE6fZvzK\nt5CNFum7FxGOgwp9srNv4j3yGPrdonzJxKWwS6OOUJLWT72IECDckFEQMn77HAiJs1xn/6vfpPkT\nn6L3T9+m8RMvMHrrHZz1FeJRjn/tEnY4AG9xwb4f+LBe1ncyxrwVmNaaNE3Z73QJSyJtXB+TjPGU\nAD9CC4lblooZKcEIxLiPbW9OAypIF+FbwIP0BixvIUqfbZNrnJNnAANBhGytvm9OH9ZiM7G2mcfD\nRrrvNHKsteY3f/M3+cpXvsLW1haf/vSn+YVf+AWefvrp6TkHBwf8xm/8Bn/1V3/F9vY2u7u7t/jE\nYxzj441JwB+KddpaOw2ET9bjwXe/z41/9x/I9g/Q3R6D198kPndt2j+tIomODU4lQLZ90p1usQ9I\nDXl3DN0xwYkmaDvNUAsJ6JysO8Rf8cm6GW4jIN0vy4mHGcKVBGt1xpfnSr6FIBv0CFcCxjsFmQyW\nI/KSREZrIaPrY4J2MM1Gp6OM6ona1D95gqQ/JlqtLNooNXx0klJZrzIs+73DpQidJeRZSrRaZXRj\ngKpX0P1u+c7NcCveQj+tNYZwOSQdDRfGdEIX2WgwOnt5esxt1aHfIVpvMbpWqlhHAfRjhM2mqtsq\nHWIAm2sqW20GF3fJh6MpT7X9A2pntjAH+wtjymYVO+xNs/9Q2GZ5660F2yyVj7FpighD7HiM9Fzs\nsOiXrqwXGWp/qTm9zoJQV3DrEbZflDALC+Fy0Ss9v5PT3S5Oe5GkOmGI36ozmusnd5aWkOM+Mggw\nZS+4Cn3EYIy/uUZ89kJxTWWVoczionfZUVNRMpIYZ/tE0fKXz+6/GwXFF29O1V11d6G1vDAvoSSq\n1UD3ZvMS7SUcRy6I48mogjvaJ6s3oFd8iaROkFjUyhr6wlmo1BHjsnWgFFtzllZgUJT2q/4OolpH\nqrlEV57injpT9GPPwWs34criMRX6GCGQGycR7vtbMD+KoP+DFsn9QcWd7Ec+qr3ID30YxBjDcDgs\nhJSMOZJ47vzRv+OVn/6XnPufv0DWi9n78y9z8Lff5K3/8VfY/3//DKv1LUb4YJKd5zlpmhKG4ZFk\n4F7/IA+PPyE/d+OxOY9xVsxLG4Wnihe4sUWEyApBahzQGdYtI4NWEwsPqTOsFxXqjtLBVJrTkmG8\n8t5nKTaqQtnbIm2OERL6HURzBcYDTFDFWd8q+n2SMbRWETsXIYgwnV28J58hv1IsANnODtFzz0PZ\nlyOay8ioQu35Z8m+/xrMzV3W60jXofHpp6g9+yj9b73M4OVvY8Yxe3/9d4zfOYvTqtH+2Z8k3+9i\ns5zO336L8Lln6f7DKzjtDbAKrSVpNyb5zt/c9T3+KHGvi0HRP6jItUHZHIQkL33VRZ6SRc0y/AJU\nWsX3QUhslmBkUb4FgB8WoivSAceDIJiVlymF6O8ACrn5/qjx/biO28XxolY+j1v8O4yXXnqJxx57\njEceeQTXdfmlX/olvvSlLy2c8yd/8if84i/+Itvb2wAsLy+/73OOcYwfBmitGQwGCCHQWr+v0szm\nmkv/y//Jyz/9y1z63/6I6//Pn5Pt94jfu0pwcpPg5ArCA5NYMJD3Y9LrXaITLdzmXCYvlOSdAVmn\nT7DiIx1BsN0kL8tx80GGChVOZTHPoiKftN8nWJplMKO1Cja3ZElOWGauVTjbV6TjjOp2jSxeVL/W\neY5XXQxKRiV5jlYr02Nemdk2NiNoF9cg/IlfCUWvdNVHj2a92CbXVLermGSx5NuNPKKTm4vXVIug\nv0+4Ost6i9JfVylbWEIJMSVmNsupbrdx6pVZxRxgel2qp7cOJ4JxWrX3CTB5yhKtLwbeRTzEZhki\nKPZLTjWE8bgUJSvIsL/cnH7+hFA7lVnmtiDUDQSL60/e7yLU4hycWmUhuw0FoWbYRUZzFQi+gzAG\nf2MWwJ5Ys6pkBI6D8H3spOw8S3FPnMBZWV24F64rkJUK85DdXaRzKEPtOIWI7fyx1hKOzRfuo4oq\nqLiPWJoluibthKpdVhsEEW5S7BUcmwACd21jNn5/D7G0On3eUGT53a2TiOGidoBbCRB6UUBNBT4c\nItIiGSLXtlEn3l8qDkcLpD4IHE4uTIJ0DxM+DnuRH2qSPfGenKh3H0U8r/wff8qlf/1vqTz/LFYI\nun/7T0TPPEfvGy/jbJ5k78t/zZV//TuFIuRNcCuSrbUmjuMPJLz3q2T8KC/sW+FW4xZrpuUgdgkc\njeMoJrHSxHiFJYMQGFEsiEZ5GEDkCblXKXp0hUALiTQG64VTtUmUKvyUh11oraPiPsYNEUsb0xIk\nwjpyuIt1Q0DgrG0gjMZGTZzNEyiTFiVTYRWn1Yar75FcKaLVRkPl1GahKG4MVkqGb79H5emnaDz3\nSeL3Xic+9y5ZZxZhTfdnz7jy5Bn2/vJvic9dpfFjL6DqNXRvSPWffQZtLDbPSQ6GZLklf+v7d/KI\nbhsPmjzej8/vdPuF7UaeYoJmofwJaAOZtsgswUqFcYpNm1Autr0BVhYBlqA6LeOyWYZYPzntWbNu\ngMzHxXd0NEBunXlg13E7OF7UQEh5y3+HcfnyZU6cODH9/+3tbS5fvrxwzttvv83+/j6f+9znePHF\nF/njP/7jB34dxzjGh435gL/WemrVNf8OOfc//Ruu/Zs/Ijxzkvpnnqf248/T/drLAMTnLpNc6xA9\nfhK3OSNeXtMludEl740IVgOEFHgrdWyZRc4GGW4rmPamTuCv1MmTGL85IxFBQyEQZGlOsFyMYfIZ\n8UjHKbUTNZLeIrkVnsBvLJKRoBmQ64RgaUa8pC9L1W6D3wgK1e+JX5exOJHEb4Zk/dlabLKc+ql6\nsajMwQ1dwlOLhFoEHgw6BEtz5FLnheWiX7iNTLLFACZNqZ1YwltuYfNZMiXvdgm2F10sANxm5X3l\n1q4eLxBqoSSM+tg8m5Zbe606pCkYTWVjaXZsMsWSUCt/FpQQFoLl+vu8sPWgXyQk/n/23jTWsus8\n03vWsKcznzvfureKxSKL4iBKtESbnmi7425b6jbU6MSJh8Tt2B2nYUVx7ECBGw03ksCOYTeSH5EN\nd+xYf/pPQzFkQPrhyA0YgWV327IsarAoiSyKVVSJxZrr3jPvYa2VH2ufYZ9bVawqsiiW6n7ALaDO\n3XfvtYez13q/7/3ed3EMrRZht139bGUFMexVgK8MJMI5oq0FRlhpdSUmQ0RY+p9P2QBFTnD0GGpt\nvXLaShrEMm17sIdaBtRBgG5Wqeiiu0ZQjP0acLq/Wh2VjREbc4A8bUWcAfIoRk9Kle/ci63Zlfl5\nqDxF7RxDRtXnUK+tzxP6088C5mrqszHUEI3qNZSuQG4dm3+Q1BGjfWSjcd1+bHhrhFivZ1t6v61F\n4ObrkeX4Vq1Fvm1B9iLABu+LfT3vySO/8BOc+L3/hfTsBZITJwg310kvXKXx9HsZnTpL0RtSjHKu\nfPT3sMMbA+3pMRdjCnhvxfPyjYDs6d/eqRf2jWKcC2ohFFYSKMswL/uyBYyNJBAGq2uoktCTT3ux\nATvNzAcROIsocky9i8jGOAROB75qaY2vaAMIhUwiprOYrNU8qDYOffzh2SLBSkUYa5zyE5hc20QN\nLiE6a9jePsQJshhhL72Gyf3YgqPHaT5xEnfxDJPzvlc72Nhi+PyLANQef5TRqTOAVwrtf6EEztbS\n+9ILNJ44iQokg7/8DNJBfuE8TinGvQnp1X3GL899Fu+XGI3GZFlOLC1CB0yE9kkU5/x9B2Q+Iku6\nuGlPnNK4PEWoMjHTWoN0gd436ePK76zYOIrIRjipcPuXEbvXB9lvZeb4fpzIFkNoddOfA9vfwvXK\n85znnnuOP/mTP+FP//RP+fVf/3VOnTp1N4Z/GIfxLQnnHMPhEGvtLOF/PWbbg7/+yxz71/8TxX6f\nyTfOYYdD6o/P33vt73mKycvfxIzSElCDWHANyfsZyW4T069SpqONFk5awtYiiMvAgnGGaCVBBpK0\nrHQLIcjzgtbxNvl4XqEWQqDqiribVPavY4kTBVF3Xk23ziAQqAiCeoiONflk7rsctgPqm01cNt+/\nSTNax5oHHS8iSXxsu/KZkxI52ifqeBAppMBNJgggrAcgBUGrDmW1204ymsdWCTdWKoCx6PcJNw4q\nacetqugWgB7vk2zNq1syDrHDAc4WiBLceXq39d7SR/y2QWsOdKc91It9o9MKNXm1j9uOhrilPu6g\n3SRe61SvRbODGOx5Jezp2JTwgHpzPt6p0JcY9RFRhKjXEZNSpM4UBLu7qLW1yvXXNvVU+oVQwx46\nWlpjal05TygBdTaoCJjJWg1ZZMjtOeCRpUiaqpfPVRD6PmtATXoQRtjuxgywSJPD9lFkXB1X0Goi\n0+qzH4hibhc7jbiGWK0mUaRwyPWFZ0wHiPE+Kph/R2UJ6uV4/7r92PDWCtbe9yD7HliLfFv2ZDvn\nGI/HZFmGEII0TW9Y2RVC0H3fs6z9g+/jwv/9/3D5k/8vKigYfP4LtN77GDIKmJy/hBvusfdv/y+6\n/+yXKpPadB/L8WYD3teLKaAPguBA3+jN4kbg3lciQU4V0IFBGpDIMUJ6uwYtLAMT0VYjnAqxNkcL\nMHELVe7TSa8+ji2wNkRlI2zUQKUDnE5gZduXnQEXxoj+RaxKYGUTkY49YM9SArLZ/KPjGHf5LMYF\nvpe7ViPLU0h2QGnqTzzB8HN/i0OQnjmDbHcIVzqMPv8cqrtK/6Wv+/2sbBJtpyQPHcU5SePRXcxw\nRPzgg2SX9wg6LbK9PsJZ9v/qOYRWdL7nKfb/43N0n30vbjzGxk3SYc74s59G7jxUUdx+u8cbmQyc\nc/RLaw1NQR61Cctki6y1MON+uW+BUQHhxFOzcuvQAjAFrrPJlBnhZIDQEmHBDfahszF7LkhayPYW\nsnN9fYS3KnMMHE5qSz1Qf3n6HP/h9Lkbbr+zs8PZs2dn/z979uyMijWNo0ePsra2RpIkJEnCD/zA\nD/DFL36RkyevXyk4jMO4l2IKsI0xM4eRGzHbVBiw/lM/xvY/+RG++X98lHMf/RgIQfvZ9zJ84QzD\nv5snc/N+Rv3hVdLz+9V9NCKwGUIJimGBUJJ8v4czDich7MTgIJsqOTuBwdA42mR0eUG12fne76iI\nSHuLIMUiQ0fQjMn7E2SoZ5ZZQUNRjDRhI8KWCtQ2z0nWEnCCfMFmqRinNHa6DF6tAiCpoH50g+HZ\ni+VAwBQGZfsEzYS8P0YnAa4Eh1EnId0bEq51wJa9y+MJrWNrGBlCf97nWwyH6PVN3MU59VwASTNg\ndHFxEBLRu0q8tc6kFEgN2g1cmoIOZwrb8WrHM7KKgtqRdYanX0XXYmy/LAj0972llZzrhwvnSNY6\n2MmCVxhgswkiiID552G3jWg0SXvzSqxttAkGe6hmA1NW/MMARAbRxgqjKeuy1EkRo56nqAchYqq0\nbQ3h0aNemX0yp02rfAxxA9L58eR4gGi1K3306ICgnrBYYxfdVfSkR5HUZ4rmslZDpvuI7aO4V17y\nxyhp7Soom8m0Ro788fRoj6LewDU7yPI6SGs9IJdqtl/w4rjSLDEqsiHCVNsWVLODqzWw587M/zZQ\nWNWEK+fLP5SIcQ8ZxLMecLm6hXATGF5D1Fu4YQ8ZhjAC2d24bj82vDUge5lVd7+Ksi6uR96ua5Fv\nu0r2dBKbemBPJpPXBbpCCGQccex//Hke+BcfpBgawiPbDJ5/meLKVcKNNdT6NqMzZxn88b+94T6m\nC/GpN/XtAN43gy4upbwtgH2zmOSQLOxqbLzKuAOywj/YVigMCkyOUTE4h8QxRiFtjoubUL7wbFTz\nNA7ARGW20xpcFCPyDIdAlFRjN9hH1Zu43lUcAlWvQ55ir15ErG3hLvo+bHP5AvEjj2FK0RGT5tSf\neALKyV1tbCPrDZKVOvk3vb2EWvPZy3B3ByENzuxhelfY/w+fJX31PLrd4dpf/C3Dr5xi7z9+Dp0k\n2ElO8zveiSsM1/7iczTe8x30v/wSbpiS91MKKzCvnSXrXZspbhdFleJ1J/F2potf7hmKsn9JCsHA\naLT1fdlW+AdHS8hrXaQQCFPg6l1UKeBiJ0MKpXFT4bv2Wlm11jDqIWo1KCde4jqy3TkwhjfjPG41\nppPaYk/2fTmpLfU9PfvwUf7FP3hm9rMcTz/9NKdOneLMmTNkWcbHPvYxPvCBD1S2+cf/+B/zl3/5\nlxhjGI1GfOYzn+Hxxx9/q07pMA7jrsWUUZeXc9LNEv7TEEKgOy0e+s0Pc+J/+zBCSXp//Ryd73mn\n9/edhpQ4IGgHqMjvL2glpFf2MLlFRhLdjKht1LAlowsLaIhXlgBCYVExBLWFSrf2ftO6JtA1v328\nUsfkBc5Y4tUIoSX1jfpMcctMUhpHGoRLVeB8NCZeOVgZxhTUthfUvENNvSk55wAAIABJREFUkWaI\nYoxOymO2a1AUYC21NV+pDVbn84EZjmk+sH6gimomE+RStVU4R625pPAdhbi9y4QLFOpotV22uxlv\nQQWE7anSeEayszEb7zTsoOcrsQv0bm+b1cEOq+rmmByxZE8Vtpvo1Woft00aqOEeqjWnv2vlEwPh\nenndhJirp4/6yFqCbHcQpWq9sJbw6C56pbpvOemj4upzINPR7LrPIggIkiXBz+4KeryPW6BXy1oN\n6Rxs7cw+UyXC8IargFLIkrodjPehswIrG77lDA9I1MYWJEu93RRe92VxWNmgIl4GoDtrqK0qcBJh\ngEyqFW+djwmLEUwZde1VhC2Q6QCx5qvZU5q9gHmFe5q42HyAG8VbIcR6v64/luNeWIt824HsLMsY\nj8cz78lbAbqLAHf1fX+PR37vNzETh261yHs5w6+8gO3tI1ttJi+/TPo3n77hPqYA+3YB752CbOfc\nbAK/kRf2nRx3nAv6qfc41tIxTBWxNjgnCco5KrOBt2YQAmP9o2R0CHi/7EzPBa2sdQgcLm4gyoWC\n0xEUExgPcCtbXnVcakS9BSbzL7T2KnLvPK7W9tXz1TXIUlzSRK2sIfbOYy69BoCqJfDayxTlhKY6\nK0SxBKXJL/k0db4/pPPd7yVZ7zD6ypcRziEbC1YOScP3cQOtp9/N/l9/gdGLZ+j9zd/RevrdrPzw\n9zB68UWaT570Xo1aM77cIx8WqK89R6vVQghBv99nf3+fNE3ftiJZdzouYxyX9nNMmUgYOz8piyLF\nJh2ELf3JZYBBoPDe6EXo6f8Ast7yKvSTIVZHcwXRIIat41Ck3s5LSIQAubbDjeJb5Sd+P05yt9uT\nrbXmd3/3d/nRH/1RHn/8cX7iJ36Cxx57jN///d/n93//9wF49NFHed/73se73vUunnnmGX7hF37h\nEGQfxj0fy4y6W0n4Q3VO3vlvfoLHPvrbRDub9D7zWWqPHkc1/eK/8dRjFPt9TGbQTYVKAuK2nmla\n2MKiEoVYWoa4wiBjgQrnYDPs1CnSnLATIEvgWN9qgXNYY6ltNkAIogXwXAzHtI61kUH1PZgNRgSN\nJSCrJSZPiRcst8JWgjMGJc3smHG3hijHWN/2QDpY6F0uBkMau6tekGohbJYixEF/8aRZPfmg08Tt\n7RFszgF1vNbxtHZpZ33CQaO0z8pSkrI3Wyyckhv1UUmMXehzF9ZS21rBDKt0ZSkcMqnS64N2A7W2\nWvnMRHX06FoFUCtRAuq1ks4uJbLUMBHDfUSthuyuIstktbCWcGcHtWR9pUY9ZFS9FjKboJdo4AQh\nYVy9d6K7Sjjp49oL66RaDQmI9Tnlevr6D4uRB/5SIUtRsiAd+G1XNpALiSK9uoarL4mzmQmaJUBd\nTGbPyDRcZx26VXabiKIZ9Xw2rnyMHF6dAXfRWkHkE0SRIbc8ZT1Y8Al3dZ/Ima5VwIN8ogRKsTSx\ndWOQ/a2oZAP3pZ3XvbAW+baii2dZNvOeTNMUpdQtAd1loNl89+M8+gf/mm/87/8nSgmEVoy+cZra\nuI8++RDjv/5z9AMPoTZ3KvuYqpfD7QPeOwXZeZ4fsO+6k1h+MUxywd5YUwsKtBJMctAip58ldGsT\npJAYYwllTqFq6BImuWneRkgM3sKLKIFJH2GNt/hKp73tXjjNjQe41irSFLikhbQGp/x9k9113P5l\nrI7QDz4yF05rdtD9a9BchXMXkUeOYc69BEKSffMsquNfpG6wj9t9CHgFvbkFsiA79Tz6wVK2PwwZ\nftn3XMQPPYATju4PvNePK3NERzZIz10kWOuSX73G+JWzJEe3uPYXn6P7/U9hBz1sp8lklJO++HfU\nnv2H1Go1kiQhz3PSNGU0GhGGIVEU3VbrwFvxsr6T/V/YK4i0AQtBGJJmmVc7dYa+DejkPlNdlKsS\nZQtsa91nuQGCBJdPAIEa97HrR5EDz0XLnUAXQwhrvmpz5ATiynlY373eUIC3plf6epPafQmyb0FM\ncTne//738/73v7/y2T//5/+88v8Pf/jDfPjDH35DYzuMw3g7RZqmZFmGlJLxeHzLzLbltcDq+36Q\noNvia//sVxi/8HWSkycYnTqLkPN532SWcCUmz6rgRCqHritEX+CM32ftSBeTDqhtxAzOjXDWkazE\nZP0cmxc0j7bZ//oVVOBmDln5YED7eBdTVHuGfYW6DgtyNWEjBlcQtutk+x5wxt06whnCRJIqiTOW\nqBlhs8yLj+2usv/yBVSjjimtmYr+gPp2d1m4G4dDFpOKvraMQmrdGoO9OfU5Xuvgevvo9TWKS96K\nJ2zXcYM+gXbkpcWoijRmAiIdE+9uM3nlm/NWJYDRABVHuAWquzCG+u4axdU5FR1AaYGr1yqVa9mo\ng46wC+K5JqgRjK5hW01Mr7SbopgB6nGvDzqYVX29gFkNV2sibdlX7Rxy8whSWBjMbcHkaB9X78BC\n8VzkqVcpXxTUDiN/HRY+Et1VgsmAfHUDrvjChEwSSHPE6gbse9agLN1ioqxHqjQ4i5r4A+p8TL69\nC1k2s/0CUK0WuQEm87HqSc8zHhdCFhmy2YXxfLCms45MatCbWyqJuEZgx1iflvGf2Qw57iE6a7i9\ny1BrIsoebbWxg3nlRWRnBdLS/iuOvFivms/tgZmQ6QAmi5T5HurIccTeORACsbkghrYQ1xMkuxtx\nqA/j43bXI9+Ktci3Teojz/MZwM5Kmsyt9sdeD+DWHj7OsV/5IEW/z/iFL5M8+gisbGIGQ6yDyb//\nY9zCi1gIQVEUWGsPKIberZh6YcdL4g+3Ezca56W+RgiLcZBO38JCkVmFs5bCBjhACUs/D5EYRJDg\nTIEE8qDmK5gIrJovLKzJEdkYk3SQ2QhUiFjZnlWPSRqIdIizDrG249XD8eBdpfszUSxVqyHGA1/5\njhPC1TWEtciVTZCSeGuV/JuvAH6yjo4fp/bAUYrXvokTgtFLLwNQe+gRGk8+QvNdDxJtrjL+6lcZ\nfP6L4AR7f/U5skuXqD9xgtZ730l68Qr5pav0v/wy9Xc+zt5nnqcYTrCZwxAyuXiZ8ZkXZtc1DEOa\nzSbtdhspJYPBgP39fSaTyduiun0nk0GaWy73DZEqva9dWYGQjjxqowQ4U0DcwObT/q+ciZPI0haE\nWhNwXviu0cUV2WwxoQONdJY8L7D1NkjhU+TtG/vVv1U92YeV7NsXPjuMw7gfI01TxuPxrIKttSYM\nr9/DuRzXW4+0nvkOTv7ubyICzfjUy7Sefpzx6TOVbYJYeuuthddSvNnBZDmN7Tn9ttQLpUhzWg/6\n6qRdEIbKen3aD3bJRtWeYUdeoZMDJCt1lHKVimjYisE64m7MFCHr2M8TZpLSPOaFuCqCbb0eyXrr\ngCWXroWY8ZKQVaNGbaPaPhR3m5j9vYovtK75E41iORuHnPZwTkZER32RxKYL1eh0iKrFlWq0MDn1\nBzZx+ZK9U6grVlgALmkg1zYqn1kVEoyuoZoLFepiUq1QxwnBrELtFcHF2pxGPQXUulVV6o4m15B6\nKfmbZwTNWuUz4oRIVZ8p0V0hyEawIPY1pVWL9vw6TgF1PLmKCyMQ0lt7AcpkiO2jiO4acoHOreK4\nQiUHfJV+WX3cGmS9ek5Fa/3gdY3rRGaIU/MihRKWwKTIabErjGcq4mrFrxfkynzdIEumg1xIdMnh\nNYgS5GTeoy/zCcHxd1Qq7n4MpUPKylbZO3/jeCuYdYdJ/9sTPvtWxbcFyDbGMCxfinme45y7LaB7\noypy7R0n2f0f/jvC3RMMP/9FXH8PM5pg+gOK8YTic3PauLUWY8wBD+5bjdutZE+9t6cCKm+WBdg0\n9ieKRujQUsxeTqnR3lZBQFEeqhABTgiEzRm5GGcNQkpSK1BYbNKaCVFYHYJQyCLDROUkICROK4Sz\nOCHnGcVsgkzm3owq1Igiw/Z7nuIz8hOSGY2ITzyEnZQKolGN+kMPequoPPdiH1Ki0/0ZjTzcPY7p\nD2h/53uQyjF+8Uvke1cYfNEriutOm/3P/t3sWgSdDlf+9C8QFtrPvAdXGGxu6Tz7XahWF3vlCuML\nV8hTR/7cXx64llJKkiSh3W7PKtx7e3sMBoOZvdz14u3Yk33+WoFzZY9UEENpsyGlYFAoIunZCany\nlWjnHCYsvU/TIdTaM9954cDEdQ+2ncV1tpCloqjOM2R7BWMdRXuDNE2vy9h4KzPHh5MaM0XTG/0c\nxmHc77HMqJNS3jLAhhuvBbo/9L2c+M1/CYCKNZ2nn6j8XnebmDSjuTMHc660KSrSjNbxLjKQ5IM5\ngMx6fTonVikm1Qq1TiRhvZq8j1o1dKQqtF0Va5yx1Dfnx5y+Js1wTKsE1HbhfIrhgGS9RbEIZIUg\nXm/jltS1g1adxtHN6jiaMaa3j2ov9AMHCiEEUWPhOpeaIW40JNjdASGwowXhrHxM0GrgJnNgL/KM\nxrFN3wa3EDKKDvT12rCGXK+OTQgIx9dQU9sqIdDZsOyh9sBVNJpeYIwFQL0ABoVzyI2tGWV9di3G\n11BLRDhhCoJmtX+ZpE4oqp7TotNFZSPEAvtyqswtF8H/tEI9voqLayAlKvPrJmkNbB1FdFd8q9d0\nP4GE5jKgvooMl2jnzlUSDQBZY41gabsibhJnfWxYPX9lCyYrnt5tpUZnfg2oGn6fcnXu2y3zISCQ\ni6rm431co4PI58kj4Sz6gZOIJYbGst83eFFCgLy7fcM2wLeiH/utPM7bPe6Ftcg9f5eMMQwGA4QQ\nGGMwxtx2JflmALX53qdY/cA/InjgIfJhgRkNMEECRUH2/Bdwe5dnFewgCO745t4OSDbG3JKAyp0e\nOzeQFpIkMFzqa7SEWDtyI4kDi3EhQdn3Yl15/MWGJR2BEEiTM9Gx768VCldkCCkxccvTiwHCpOy/\nTjHdLSgpR0QJjPvQuwKddcTVc95vef8aKg6wVy96sBcniMuvYq56GpGuxbgL35jRzcMHTqD6l3HG\nMjl9GgDZ6tJ84mHM+W8w/JqvPCcPnMSUIDx+8EHs2E+8jXe+g73Sp7TYHzD6+jfofv/T5BdeY+/P\n/wo7HhLWY2zSJB0bsjOnKSZLIicL13mxuq2UYjAY0Ov1mEwmbwrt/27G/sixPyr76a1hbxIiyux1\nLgIQgsAZXNKZ2bo5qckKT+gim5CGDcS0XSCMwGR+QaMCXBR7T3PwNmz5CG0McvMYRVGwv7/PYDCY\nJdIW45Ce9dbEYSX7MA7jxjFl1AkhZoy6N7N1bP2fvJ+dD/7XFHsXmLz4PO3veQ8Aql4j7/tqXJGm\nNHbaxN0EM1moUA+HtI+vgK3uO2zpA2JXOtJErahCoxXS4YqC5u68N3fKLJv2SstAUyxack3G1LdX\ncOkcxAgHtZ21A0A2aMTUj1ZtlXQosYO+p1zP9+oVwTtzEDZVGnfDAcHODjLQlWq0tinRarvihS2y\nCbXd6zCk4uSA17LTwQFArVxGONmbj00pVDqoiJLJTsfbTTGnfNOd92IL55Drm4T16vGC8d6sgjwN\naQp0owpSaTQJXV4B1LLTQWVj5NZ1AHV9XuGeAupwdAVXa/p+7ymgdha2dhHdVQ+up+OSBtpVAbVo\nvIdc6pEXCPQS8M4bq4RL1XRbbxPlA0x9vq1SAokjX/Xjd0ISF/7ZngLdrLmBKhP8YrTnqfULYmki\nGyM3dhC2Cp7FxvaMPj67NsnBqrQIlFcznw0q8JZi7VXUkQfJsqwicrsoevxWrBMOmXU+7oW1yD0N\nsq217O3tkec5xpgZdfrNEv+axtoH/iHt7/5O/4JK2ghTkI8mOGPIP/NnpGn6hm26bhVkT626lgVU\n3sxK9iD1j0VhHZlVvjJpJIUVhMpxdRSghEUphXUOLSwpMYG0IEQ5BXqAZZzwFejEi5cIHCZpeLVp\nv5X/PB35L8ZwH6cCTy2O6pBniO6675FKWuhjJxBCehp5ewU1ugphjLl6CX30BPZVD6TzvX2C7SPo\nWowoctTGNnY0Ijn5CObiWYpXX0EfOTZbJKSX9kgePEr3B74TbE7ziQeoP3oUEQa0v+fddJ59L8mj\nDyJDybVP/w1m7IiOHmX4xZcpemPkJKUgIB3npM8dFMZbjsXqdq1We10QeTfidieEc9c8qz9UFici\njPMtEjoIKUw54bmCng3Rdspe8AkXLSWutYbFQZ56UD1V6swn2NUj88Vf1EBMmwH7V1Gbx2g0GrTb\nbbTWjEYj9vf3GY/HFEXxlmR0D+lZZQh585/DOIz7NIwx7O3tYa19Q61jrzeX7/7Kf0vtEe+dPXnp\neWqPnaT26MNegbsMW6TE60uexXhALYPlBaijtl4Fb7bIsVk2q0TLKMCUtOqiP6C22SHq1CugFZNT\nP9KtgmdrSXbWWA4daWq7S1VgZ3DjUQX0uDT1quLr5fpBSWwJnu2gj97eRjfruGwOpgJZEK11Kl7Y\nYjKq+EXPIqkhwiXlbAlys+rJHeQjwrQ3A6kijlHpCOEc8Ybfr15ZmVGMxXDfb9ua066Fc+iNTcIl\nxfNgsl+pDIMHuUF7CVC3OkQurbxnZauDKibYjblmiYj89VusvE+T3sHwCrbZLUXJSpstgM0jiJX1\nCqCO7BjXrNLyw0nP90YvhVwG1PUuoZvgFu6CqXUI8yHFQuuXLJM4tuufBYcgtqVYWsmgzBprM82f\nen6NImrgkjnFXNgCuX0MsSSWJtvtGX189ll0UBNB6ADihe+KEB6Iry48A+1VBA7ZXiHYOXGgDXCx\nUPJWrAsWK9lvh9bDb1ncA2uRt89IbjOm3pPWWqy1ZFlGkiR3tOC+FYC68V/+FOFqFyFh/OprMB5T\npDnZ5YtE50+jlLrrD/vrWYPd6fGXz3+QSgSONBeARQjITfkydLIUN7MMsgDrvKXEsND+RR7UELYA\n58hl4D2RhcTKhYq3NYg8xdS72MkAh8TV2ziB/11309s56RCxeXSm8uiiGmp0Fad91jfY2oV0jGus\nIOpNgkaMG49wOsAM+oSRIL/iK9wuSKg/+S60thSXvO9l3vdZ2/o7nyBoaOzgPDjL4IvPM/nGq4Tr\nG/Sf+zK9v/0S+5/7ElIpou1toqPbZJeuMDr9GuHRHdLzfbIzZ8guXSVPDfnX5lTzW7n2QRDMQKRS\niuFwyP7+/qwScrfidkD2hX1mlfZIO66OA2qB//+4iPzvnCOXsbdjK1KI6jMleYllgkaXx7PN9Zm9\nG9bi8tQr0QOi2UXYAhck/mVZTsBSSuI4ptVq0Wg0sNbS7/dn3/+7+f07nNR8LFt4Lf8cxmHcj2Gt\nZTAY4JyjKAqKorhrrWNCCI792r8k2NpCWAvpNVRSXfc4a4mauuprL8BmGY2deSVSxSEmTTHjMa0H\nPPiJ1tq4MmmaDwbEK02S1eZMtRxABRCtVHtpXVEQb1WrnABKWpLtKsB12QRMhpwCXCm9WJgpqG35\nSq+qJ/M2sF4Ptb5OuNqpVOLDEMLOEhgdDdCrVeVu8KBTLBVDtMnQi4BaSnQ6IMh6s75g1Woiigzh\n7Ayo6+4C+BzuI2sJpjYHmsI5go0NgrB6X9S4h3RVH2cpHLpTBal0uoRmUqmmymYLWaQVi6wpaFQL\nlfep1VU4uoZtr4LSc0AthO8ZX1mv9BxH+QDXqgJqnY2gVr3HANSqyZu81iUuet5+swxT7xKYCWZ1\nQX28TO6IBTvO2Po1WGDGOAR5fYWgTNAnpk/WWMcuXFcpPF17qXCOCgPEuF/9LNAIuaRyH8XQrj6L\nophAd6GPvlx/iGiBrh6XyRUdIEpAfr1CyWAwmAkg3811wvLa7e1GkX6r4l5Yi9yzIPsjH/kIxpgZ\nTXzam3wnseh9e8NttGbrgx8CHaKbDQoRYJzPtLoXv+h7it/Al+r1JtbXswZ7M79gvTHUdI5xmlrg\nyApPE5fCUZRWXf545XUrqcLSFfRNjDMFQgXkDhQWU2sjykytLR9+kY0odIw0OVZqnHA4J3FS4QI/\nYTjrkFrNqs0iDD34ygvUkeOehg5YIYl3j+KEf8nLlU2SzTUocvJz3pxexjHutdNQKzPitRrZ5Su0\nn34Xuh4zecULoU3OlaBcSkYvvzq7Jp33vpvh8y+x/9dfIHv1Mp1nn6H1nscorl0j3u0S7xyh0HUm\ng7QUQHvptq/74ku7Xq/PwOPdqm7f6v6shZcuCLQs76EIcAgibdBBjCpbBwKtGBQ+QeOKjIGsz6hy\nVkdeKM/kXhRtunMVYOM6CJ/9d81V3BR86wgeePTARCmEQGtNvV6n0WggpWQymbC3t8doNMKYalXg\nzYjDSa0MKW7+cxiHcZ+Fc46PfOQjs/fpG9FmgVtL+utWiwf+1/8ZlMKNRgS16jtSJwFmPKFxbF41\njNc6OGMxw+EMaCcbndk4zWRM0IiJGnMEI4CwGaKXfJJtmhGtVUEZANm4+rkU2OEAJd2Meq7qCW48\nhiyjtlMC+5XWTNHb9PYJVrtE3Sp4jpuh96FejEEP2WmxHCoOKlR3AJ0OUNtzQC2iCDEZoPMhoqRT\n65WuF1C1lqj0zdbt+f7FqI9MYky0UEl1jnBzg1BX273kqI8q0upnWqGX7LVEZ5XQTmb2YeD7jKXJ\nENtH5n9b9sIvenOrKSDN9rArG57WvkCHlqvruJUFZw+8IjitpR7qYnJdQC2W/KrzpE292MMuCH8V\n9S7a5pi1hbEG5VgXRM0i5xMmYTbEyoA8bvvzBiI7Ie3uYOrVZ8q0VtBLiYpYGaJiifKt5QExMhHX\nqtVoQDqDWKzOJw1EkVaTUVPqetaf+WhPiwWic7C9YLFQMi30LbLt3uw2QOfcgZ7s+3ItAvfEWuSe\nBdkf//jHee2112YWGW+kN/lWH9BgY4P2D/8INjM4JTF7PYRQuPEI8fKX7xrIds6RllStG/V3vRG6\n+OLfGmPojQW9kWZSCOLAcmmg0dIRaoGxECrDKA+IlEGIeWJ5CnJx1gMkSrEKGSKLzAtcFRlOCExU\nR5bnoaaeycZguluYsqdZRLGvaI8HsLI5y1Ta4QAVOGzfU4FknCCunsOWlV+9soK7fA7R3QBn0Scf\nwbz0PAJHvuf/Jnn4HYQJ5KdfZHLWA/Fo9xjjr3tF8uZTTxKudWh/97voPvs06aUriHLiCLfXGb90\nmvxaHwrD6NQ58ktXCIUht4GvZn/hL+7oXkzvRxAEFduvu/XSvpVn/xtXvKWbMY4oEBSlFYzCcm0S\n+j4t8PdXCBJpIWmD8xRAVDCztpP5hCxuzxYHxHWfLFEBFBk2riGGXvyMIEK0usvDqYRzDqUUrVaL\nVssvhnq9Hr1e7031KD8UGvFxWMk+jMM4GH/0R3/ExYsXMcagtX5D74pbncvrTzzO5s/+U+KHHqQ4\nfYr6U++a/S7a8JVcU4qMgfelnoUrUFFQFdKy1tPGl3qBzWhMuLIEZKXADXsE7TmIUrUYxmOCWjjr\nEY5Wu2AMdjKhXgqYLVae7aCHbjUrIl8CiLp1ZFQFTW5/D1k7SFUOI1XpSUYpr2S9NQd902p0UIxn\nqubBik8wSFsQb5eAeqFnWYz6iDii0HPatSjBtxZVarIYD1FFVRldxtGBirrorBwA1LJe87ZVC+Od\nKobLhUSBLMW5orSHXd3ChRFiQf9Fdrq47nplUR9NrsES5VuZDNU4mJioVG6BImnRKq74JPj0s8Yq\nypkKoJ5eT71AxQ6dX6+GaQ8TJBRRg8iUFl8uJ13dpWhUWQ+iVp+B82nU3JCgqKrcB5FGJEsJgVoT\nVqrtBwiHiOb3zunAs+UWEx/NUowuHZSuJ8zmMWEtrGx5Nl2p/M5KFbRfL7TWFbbd/v4+/X7/TWfb\nLSf978e4F9Yi9+yq8ciRI/zwD/8wX/7yl9+U/d3qxNb6oR9CHD9JevabSC0oRmPMZIJ75QVcnr7u\n39/J8ade2HfbGmza7y0Q5aTlfzw93HFtpMgMBAp6aYiWFoenyQvnGNuAUBqEVKV3IVgVYJ2nDxdx\nma12AhvWfMUTgS37J0SRo7REZROckLjRvq947l9FNprQu4qTGtnuILIx9upF/2K8/E0AiiuXCU48\nAsMSjDtJdPwEOgw88I8i0lfO0HjqKbA5btBHb+2QnnsNAN1Zo/Ps0zTfdRzb7zF5+SVGz38FMxwz\n/voZZC2k+/e+i/jYNulrFxl86QWM0cikRnYlJTv1EmZvj8wqsldOk2fVSfdOQghxgCL9Zr20b4Uu\nnuZw5rIgUJbcOIZZQF5KyxdOU1iJcL4v25XZFi0cPRsRirLyHbf89XfgdEhhLSIbg1QzipkQCre6\n45u+szFIDTaD1sb1B7ZwDtMFrVKKWq1Gp9MhjuMD4iRv5Dpdr5J9X4aUN/85jMO4z0IIQbvd5vu+\n7/u4cuXK6//BLcatvNs3/ul/RXjcKy6bV88QbHmgoUpKrgCCRPmqrpm3H7m8oLnTxaTVliQzHh+g\nX6sk8l7RizZdKx2EKYi7c7ATrvpj2uGQ2q5/bwf1OVC2oxGyllQqsVhHvNmtikwB9to11HL/rBCE\nkWCx2VrWEtRwH7VQ8Q1WfF944NJZYnxajZYmJzpSXqMFzrGYDBBRiF2gPAtriLc30WZpXZeO0aY6\nt4t6Hb1RnatEp0OwDKiTuATUc8q3kAcBtSjXklE2wK4fwUUJekEVW7XbHlAv2rVNrsES5VvZAt08\nWKF2S33oRdKilV+qVJLz+goSh1ldANQly3CxrT/EjzVI98mTDiZICAsPSiWWbGWHolFNNqgwqFi4\nAdSKfUJRpdILHZAm1US7arYRS+JrQoql1ggJ2RDSgU/+A665ihT4VrayBU0sqI8zrVIvgHARxdBa\n8S2Q8Loge7pOWGTbdTodwjB809h2ywn/t0ps7W0Z98Ba5O0zktuIK1eu8Gd/9mf89E//NM8888yb\nkh26FZA9rSh3f+qniE48TJELhA6wRYGbjNAv33ov7s2OsRiLXtg3+yK90Ur2FGAbQi73NfXYESpL\nbvwxBZSV5zlNVgjL/iTGWIvWgonVaGExujYT8shQXkncgSnBtFMLp3CNAAAgAElEQVQBAos0Ba61\n5l96gIsT7z0+6sH6Liqf4IIE093AFoUHao0uangZkhYYgz72ICId+54Za9DZgOKiB822KNDFADut\nvG7s0Hj3u7HnXp4pjYtGB5kktL/7acavnGL8tS8itGZ0yv8+efghes89D/iMfn61x96n/5bawyeo\nPXyc/MJlgo0tkocfIDn5GNn+hMnVPml/TPbZP7+j+zGNxZfn8ks7CALG4/Ebqm7fysv5zGWBsYJW\nbIlCiXEC6yBQjr2JAhzGFAzyGFdORLkMsAi0y7E6nlHDlZKkspxYJ0NMa92DbT8YrCsQ5SLHre0g\nJsMD/VO3cg6LKu6tVuuAR/ntXqvFifNGx7xf4k4q2Z/61Kd49NFHOXnyJL/92799w31/9rOfRWvN\nH//xH9+t4R/GYbzpcerUKT796U/zW7/1W+zu7r5hptH0XXMr65FJlrH2Uz+NCALIM6L1LiiFvXZp\ntp0Zp7Qf3KAYjpd2YA4A6rDTQNo5OIXSy9kUJJtzYDO1jTL9/qzfWi/4NYsi82NafE2agtrOpp/j\nFz++egURLIlKRhE6XqLAdzuo8QC1AFCnvdFamhmYnVLKZZER7XhQtCj2JrMxIghYvLrCGKIjW8hs\n6RqZHLUMqJst9EZVBV21WgSmCqhFWALq7fl4p0JgUs6PLvMpjXqA3djB1Rqevj3dd7OJ61ZpytH4\nKmJJbExac6BfevncAUzSop1fJW/O59a8voIUgqK9kCgIfVIlcNls3IEoq+n5gLS5gdERUV4CaiEo\nOhvkzbUZSxEg1NY7hyxEPb9GqJeebx0wiavgeRytYKMlAT+tYclyizwtq9Flhb61grDW07ynfeHx\nAluiXj73C8+iEG5GH59FOpzvM6oh6ku980txI6vPKIreNLbdIatuHvfCWuSeu1PD4ZAf+7Ef49FH\nH+W7vuu7ZpPRGwXatzKpZVmGtZb62jqtZ38IEUbkV65ije9bFVfO4dLr2zfdyvGXY+qFfauCbnd6\nDZxz5HnuwUgWsT9SBMqhpaOwgkBa9sYBSWAIlMOUfdkOiRAO5/CVR7yKZa8IwRYIHWKtRQsokvbM\nt3LKUXPZmEJqmAyxQqIofNZRSmxpwUUQEUSBpxMDRb2JsAYjA9TuCcTUC7PWIdragriOSye4OEHZ\nCaRjisulvVeng33lBfTm7kyhFCGo76wgihRbWqCIcGHhIeaLjc4z3zHz0h5+9euYSU77B7+Twd99\nidELLzP++os0jqyREZOllvyFN4dlsRzT6na73b6rlKSrA8HeyD+XobZcGYTUQ7+A1FrjnCAJLEpH\nZMa3GiilSMt5S5qMsW7OlMZdWPNq9EpCEJE56ScxgCAA57ynetLCSQWNDkLf3F/29QCvUuoNq7hf\nTzH0fgXZt6subozhQx/6EJ/61Kf4yle+wr/7d/+Or371q9fd7ld/9Vd53/ved18Lyx3GvRXnz5/n\nR3/0R3nyySd5z3ve86a5fNyORkv9xEOs/MRPA1CcPUP7e5+ZWVpNQ4eCcKl3OWjVvDDXQgVQt5q4\nNKO+OwdbugRptrc/67eWbs4MktL/Y4t5FdJlGbXjO9hxdRxu1KtWHIGg0yZsLnlCr3SQ4yF6aw5m\ndQnstXYzevi02q2z8RxQL7yGRD4BrSvK66LIiXa3EeOlvl7sTDRstm2jjV4AyeABWrAkSmZUeBBQ\nl/dvWqB2QqBzf8wwH2E3d7GNdqVSrht1XLta9Y1GVype1uDVx8V1AHUUiIqidxa1aOR7pO15BTar\neyBrmgtWYiWgjt3Iz71ASAmozYisu41VAXE+FxcT7RXyZrWanogJLqpS+mtFnzBcct/RAWlcrVBP\n4pWZRdc0XBDREgPMwjoMk5ViZSU9vN5CTFka02REbX69ptX3ypSdTyCIfLV7ut2yoji+3U1MGQ+3\nQBW/lfXIG2XbXe8Y9y3ovgfWIvfcnfmN3/gNHnnkEX7mZ36GCxcu3HLW9/Xi9faRZVlFMbT+zPcR\nrG9AUsOlKcVghB2P4PSdV7OXe6PTNL1lQbc7XfRPRRTA93vvjcp+FAHnrijSQlALDf3UA2+QWOcQ\nWHqTiFgZlBRMk/dGBDgncCbHqNJKAstYaJQtvKWTMx5QRYl/YdgCU+uUKuIC1nZmQmmEifduNAWs\nbhGW+ecizZEim9HdZLOBuHYeF/rJOn7kcbh2CWpN7OWLxI8/iTnvhcxc4CeU5tNPk730PObaFUyp\nni6imP6XvkZ8fJfuD343uhnR+c7H6H7/Uzhr6f7gd9J450nih45ihgP2/7/PEJ94mGIwxGSa4Ze/\ngtu7RmYU6aVLjL55+o7uy/TevF4sU5LG4/EtU5JuNiE4B8+d0ZiSBWCsYlJIlLREge/NB4i0ZW8S\nUgtK33QZY63zlWkZkKO8sIjSs8qBsoa8voqaHrrWxpU9T2IywDS7/lloXcfDdCluNat7MxX312MC\nHNp3zeN2K9l/8zd/w8MPP8zx48cJgoCf/Mmf5BOf+MSB7X7nd36HH//xH2d9/fXv+WEcxtslPvSh\nD/FzP/dzPPvss5w/f/4tAdnOuQMe3Cv/2X9B+MBxAHQAslUF1CoOidpV8COjGDseVbypp/Ou6e8T\ntDzN2KVzoBzUfRLcjOafucmY+sMPzBPX0/27HLmk5h10OsRLgmmq1UAO+wQb8+/+lMq9SBmf0ql1\nOiTY8WBWLFYibeER9mReBZZ5RnxsB8aD6ti0OuBDTaODWgLULqkR2LSC3K3USFMF1FNwrqVvgXNS\nEZYV3iAbYjd3ca0VtJ0DKV2vHfCcDq8HqHGI+sFe9EhZ3AKYyOIWDdMj7c7HNet7XujBnlKk67aH\nK4sX0x7z0KZkK7tYqYnM/JqJeoussURPNz3skjBaZMa+vWAhrFAUteo5pckqYVCdc02Q0KRHpuf7\njFSBFoZBo6Ssh8nchWRajW7Mn6fp81vxSZ70IYwRC3R7YTLE9nGWZ/FloTd/ouW1724d/N1S3CrL\nbZltJ4S4ZbbdYSV7HvfCWuSeu1P/6l/9K/7wD/+QI0eOcOHCBeCNUaWn8Xo90XmeH1AMbf3Yf4rL\nC0xR0lKyHHf5Vd9TeocxBb1TL+xbFXS702swreZprRFCcG3oj1cUUIud76eeUpyE40JfkxtIQkiN\nQqsC40JPCcdbeYXKIspebIBCBIBAmpwianoBD6Vn1Won5sqQJi9wroA88/3X08zyaIBMarihFy4L\nmnVUNsb293H1Fq7MSts0JXz4MZjaX7XXCB46iRxdpbjkn5fs8mVaT78HgfWenlozetGrgTeeejeN\nR3dwwwvYLKX/3JcYfu0UCE3vs19k7z/+LZNz59H1GvV3PARBwOALX0W1Vimu9dDdHYrL10iv9sgm\nBea5OxdAg1sHc1NKUrvdptls4pyj1+vdtLp9swnhzGXJ/ggmuaeGXx2WFm7W0k/n99u4gNxKPxnq\nYJZsCRUMRILA23Plccf7YwMoRW4tyllALCi1ClxYgyJFpCNo37wf+/XO4UaxrOJujLkpE+BGFLD7\nMm5TXfzVV1/l6NGjs//v7u7y6quvHtjmE5/4BL/4i78I3MfX9jDuufjoRz/Kr/3ar7G9vT1bj8Ab\nt/l7vfXI1FFl1k6kFJu/+N+DEIh8THz8geUdYgf9Wa80gC1Fs9x4iEoihFKYQZnsdBCvNlH1GnYy\nr7TawZDGO07MWWll6FAgl3psdbNOtF1dqKokgv4+emVexVQlINLNBdGxUs1Zj3uoIyVoXNA4kcJ5\n2vBCNVplY5ITDyCWqMQyCpCqCvZdvY3c3q1+Fsdol1eqYELIskI93zYqFbF90QFcEBJmvsKrsxFu\ncxfXWUMteF/reu1Av3Q4uoKsV0GdBFSz+pkDQmFxYr4WzJM2NTsg7c7Hldc8oBYL4nBT8bh6sY8t\niwtTQK1dwWT1GFYq4mJeoXZRQt5cRy0Q6pNiD7tElQ5sjlryzHYI5JJKeZqsEIusUmGfqDoNRoyi\neZJhOoWM6h7MFiKYWXzF9fLZai0kJfKxf96D+XMnspEH3Qv6SAKH2D5esSzzJ3UwceHiKq2duOG1\nlqS8pUr2nfhkT6vb7XabJEnI8/ymbLsbtcjdl3EPrEXuKsj++Z//eTY3N3nyySdvuM0v/dIvcfLk\nSd797nfz+c9//nX3WavVCIKA7e1tLl68CNxdkG2MIcuy61aU9foG0ZPvxQ2HmLzAWoebpIhvHKQg\n3M4YbuaF/WbGNHmweJy9kSTWllevKRqxpREZzBQsW0moPPB25aMj8Z7JzlkC7Xt2Q2nJVQ1NmRVH\n+tKosxRCl+rjMc4alBC41vqsh1vWvLeyG/YxK1sw6nkRtaThkxf9q1BvI6+e87Sm/SsE29u+ag3k\noxFqeAVTKo+LKCYYXYVm+XKuN4jWVzFnXiTfLzPNu8fRK13aTz2K7e2Tnn0FWavTL6nhutth/7Nz\nhkL95AkGX3qBvb/4HMHaKs33vJN4a5VodxvsiObJE0xMTDYxTE6/RJHfXb/r5XijghtZAV/6hqZb\n91n5UAsKK9DSg83eRJAXlkAJJsW0Z79gUMQzmy+hQiySSFhEGDMxcmbNlVP2zhUTXGt9Xo0IIqyS\ngPB9+e3XzyS+kf7oxer2Yp/78rW6n3uwD4RUN/9Zilu5br/8y7/Mb/3Wb71prT+HcRjXi7uxHmm3\n2wghZuuRu82su5lGS/L4E7T+/o/gLl/AvvIS+pgH2jKK5uDZ5AitvBDYNBFtDLXtVYL1VZ90LsP0\neiTHj7AcQaIPCAvpOCLerYIQpRVi2EMtVGYFHoQEKwvVxxIQyf6ep4cLAQuq2UorZJIgsgVadTog\nPnGsMl7wvdwsXReXtCtVZwARBgSiqGyrhUUVk8q2cVnNnQHqpE5Q+LGpzFO+lwXIdD2uVI4BwuFl\nVK1KiZdwQJTMCUFYpBUBNlPvULNDJqtzgDAVA1PJHBSqEiA2ij3ysKTWl4BaYUhXjuKkIi7mFWqp\nJEVzHTU31aSRX8E2q1Ru7Qx62T4NDnw2ibskboAR8zXlWDWJSRnU5s/HtAKf1jxl3SKoCZ8wiUN/\nrfvh2oxtEBVlNXpBAV2Y3Kt/2yWK/8pmta8aYBk846noFdEAFfh2zwW6u6s1PfOyuw2tm+vDwPVZ\nb7cai9Xtm7HtDivZC3EPrEXu6p36uZ/7OT71qU/d8Pd/8id/wksvvcSpU6f4gz/4g1n24Fbirahk\nG2OYTCZEUXTDinLzH7wf2qs44zDjMS7NcFdfu+NqdpZlKKVuG2Df7jVYTB5MHz5roTeWtGsGYyWh\nhsFYYJ1ACcelgaYeWeKg7MMGCqtBgLEOY0ufaiz9PABbYFUIziAF2LiJLl+aefklkNZQSIXIJjip\nEPnYZ0OLFKE1Ik+xQYzAQJR4sL5+xAPxpIk8ctxXxvMMF9eJGl4ArbhwDqIYMdpDFBkm94Cp9shj\nmFdOQRjPxM/0yiqq6GH2rjJ88RQA8QMPYUtKXPzgg0Tba9TfcZz2976H3ue/Mr/uYUD66nkQgsHz\nL2BTSf+5zyOzIeNhQT5Myb7wH27rXk7jjYK71xPcuFHW9SuvKia5oBZa6pGjKMXvmrHj8iCgETms\nA4OeKY0jNONcIVyBlBJTTl7a5Ux0i0iVPpNJ0/fuOQd5yhg9E34hrnshkiDyIiPxdahbb/I1msZi\nn/siE6DX65Hn+WHmeBpLCp6f/srL/MYf/fvZz3Ls7Oxw9uzZ2f/Pnj3L7m61gvS5z32On/zJn+TB\nBx/k4x//OB/84Af55Cc/eddP5TDur7ib65Ht7W3Onz8P3L31yK1otKz/7D+bUWW1BoQk2N2dizZm\nGfXdTYKValWy2N8nXD1o6xTWowOfKSWIj1bBt8AgxgPEAugTeeo9pLfWpycFYw9QZe8qen3dg+J0\nXqEO6jG6267QwIPJPtGxKkgGkEmd5avskvoBQC0D745ROS+bovI5oHZSEaYlSy4o10PNLqrs9Z0B\n6k61X1rXkwO90eHwCjqpVvWlEKgDgFoS2hFWztd6pt4hZkK6AKgnUSnutkCdn9Lpa/k18sTfS10q\nc0sco9YuVijiBT9pLS15c60CqFt2D7uUzFbC94Yvh1qyVBuHbWrFPpmeg9IsbKNZoHfDLGFgFubz\nhvJrq7qa4IBBsEog/LhqbsBQd8iD+fYS5wH10h0X9SYs6yCFB59ZF4Qzanz5l7girVTGXaMDUuAW\nq+W6ZFt2NmYq8DeK67mQ3GncjG13vd7tw/XI23ctcldB9rPPPku3e2Of209+8pP87M/+LADPPPMM\ne3t7FcrVzWJtbW1ml3E3JrVFyrZe6iuq/J0OqD37n1D0+wjrMHmGSzPEay/f1vEXsyZhGN72l+Z2\nrsH03KbJg+nf7o0lkXazBLcELvc0aSFoxobCSiLlGOdeVVoKRz8PqAUWreTs9ZeL0ifT5GTCA2Ml\nBGMUyhlskDDd2gWhp56lQ1/VnPpprx6ZU+GaK6hiQm7BdjdnIiZWxwTSK1gDyM1d5P5Fr0hd5IQn\nTmIv+oVPfuECtXc9NesvUxtHcM7SfO97yE+/CFmG3joKZfWyGKR0vv9p2t/1GOOXXqK4fIH0/Dmy\n1y4ilKPx5MOs/P3vBVuQXbjM1T//LPXHn2B46jTh5oPIixfI+2PSiSH98t/e1r28G7EouBFF0UzV\ncjKZVKrbl3qCc9fK/nQBe0NFUKqACiAtJPXQln7ZpSiasuxNAoRwFEWBEclMaRypGVtJ4AxIhSnV\nxZVSmFrXsxomA589LschALf54C2d193I6i4yAaIooigKJpNJRZzkvp3UlKr8/MC738Gv/fQ/mv0s\nx9NPP82pU6c4c+YMWZbxsY99jA984AOVbV5++WVOnz7N6dOn+fEf/3H+zb/5Nwe2OYzDeKNxN9cj\nW1tbd5VZd6saLarVovmB/9z/58pF4scer1SSAexogIqrSXwBRI2DlUpZ5IQ7SzTZbOKT4NNCgJQw\nHiGsIdote6XjOXgW+1eQ/z97bxZr2XXe+f3WWnveZ7xDzSwOKsocNNGkqMmtTuwOBAmIkPghsl+S\nl7YZA37Iqx+MIH6KkSAvrTZAxJYDx47aDeTBCLpbD0nsWB1LkSVRpCRSnKcq1nDrTmfaZw9rrTys\nfYZ97q1iVbFYVHXdD7ggeOrsc/Z09vr+3/f//v9eH6/baYLnbnuuDj7/vuEuwYmDY0J2ZaYXXO6w\n7C0Nrhvt+c1nc1iOUUWGqFXJbRCh8preXaua297GnE6s8jF68/QBereXJoioeY6C8fYBqzEpxIG5\naqs8wmrsmg516Haf0BTkG0sd6hpQ+8HiGs8Adavao0jc/evXHWopYNo+cQBQt7ycLN5AsTjfLTOg\n6h6cK7aHzCGLlZw399u07IAsWJyTKu4hBYzTxWcWtUCZXBIwS5W7D2YCZmOvS1SrlEfk7IUnyYNm\ngWccbeJ5K4VtT0HZnPsXvncA/NowgqRZRLJGo5d9uZMOYDBxe2k7VywwS6MFdpYbtZr3wvXiduYG\nq1oyvu+jtSbLMiaTyQeyJv0PIu6CXOQj5RwcxpE/f/78DW3reR7GmHnl6HYuajdL2Y4e/wzBAx+j\nmhaYssLmOWLnIlTl+247i9ks6Gw2+sMKay1Zlh1aPNgdSzyhEbUi1d5YkobGNR2rhfXE9thHGwg9\nMFYRKk2mA5Q0CAGFlk6AQqr5HI4TGxNQ5RRBC6VdN1NbO1cbn1d0hefmsq1bnGbiKcpaVJKg69ks\nEfiIfIKtNKLdQ9b7bVRA8PBjdcXWYpIOamMDcfF18vfeq7/Lo/OpxxHZmGp3F4Byb4hqt+n/ky9Q\nXHqD7OXnkWGMHrgFuf2pT5C9eR5baSZvvsv07QuUF7fpfv5XkUnE/v/3PJ2nngQs4Zn7yQqPcqrJ\nL19l+t5bt3Stbve9sNzdnv3/rGM7neZ890XFKF98536m0NoS+paiFofzpGGQB0S1cInve5RaumKL\n5zEuFbpWRpvY2ge7mmLi3nzGXnoeuTaOIWIqiqjvwDaA8rDtpiDMYXE7K8eHxexceZ5HkiQIIRgO\nh0yXhHXuubhJdXHP8/jmN7/JV77yFR577DG+8Y1v8Oijj/Lss8/y7LPPfgQHcBRHcXh8kHxkeSb7\nducjq0Xx94vWb3wN77gDn2L3MrJaeV5pTdg5OI8qsqb4mBMRG+NLO6eHz2jboiwIz7pz5fU6iJrK\nKoe7iFYLr7cAOQLwN9dRnRVBr8E2/vrBosdhvs5KCcRmEyD6tsALF6DVSklQjvDyCeK4KwyYtIuq\nqcN+VLua9BcWU14+Rm+cglZz3/x2ggyb3ehgfBW1Yod1GKA2fkhcDtENQL1GYEvy9bPz18rQrcHB\nUlFg5h2dVgOKlrsWAYs8suwcqwH1gvLdkhlZeqwBqBM7plw7SPXX4cHrrhRNRXIvoW0HjOPFvVDU\n9PSitaBM5zjwP6N3A8TKre9tBpRewlSmpNLdf57Q7EanyfwmYK3C9gFQnwYlqWqyQYVSB9xGbJhg\nV2w+LWCWQXEQg6mwS5oBs6KNXZqbn3P+yyn4kWv21GJp4gbykQ+bxi2lnBfZ0jTFWstwODyUaXfP\nxF2Qi1y7RXuHYnUxuhmhp9n2M5/nDxLLHPwsy26ash198TcY/9t/jclLTFFg8ili6y3syYffd9uy\nLKmq6rod8xvd/+vF7Ng8z2sc22zbUSZ4+7Lg/pOCflKxM1ac6Glif/G5k0KhpKHSYO1MEA0GWUCc\nFkjhoU1FKA1TkRAIpxhuWFyv0kqiMnfVxGyIVJ7rYtcPPBtGyHIMpYGN0/P5LBFEqPE2dlph0y4i\nc+BX7+/ibR5Dj+uFR0jU6DK6VqcWaxv4F99BdPqY199xoN6U6PNvIs9+3B1D0kKEAdFajCkKKN3C\nll9yANwKQfbOoqvReeKT7H3Xdaj3vvsjWk88RnSix+D7P6Dz5CcZvfAc8a8+xXA3I257VD/8f+Dr\nD9zcRf0QY3avxHE8F9t44S0oKw2eIg00F3YVnjRMS3eP6JrqbxEMp4pOWOKpJaVxpZnomNg3oEFI\nD2Oqeh7fMqg8+maMxVmeIAoUFttawwrcQojAAF760VSODwtjXDEgiiKiKLq3Z7RvUIhxOb761a/y\n1a9+tfHaM888c+h7//zP//yWdusojuJ2xK3mI+12m8mkpkJLedvzEd/3bzg/EJ5H57/4L9n5F/89\ndprhr/XJLy5okiLwYbCD1+tS7e0DoNotRFkQJOkc0nlrPbcm5xnh/WfJ33zLgWftgIfMBogwRLXS\neYFUGE1w8oSblx0t5mLV/hZsnHBKz0vhtVvorcZLKFNi1jex24t/CKoxVZpg65dMEBHUXc1q8zh2\n6zK6s+G8ogEvDt1xdPtg6q71dES2dgIZJ7BkceZ3WhghYUk6JRhvU3aaHXUpBKrTgcEiDzBhTFIN\nyVUwp5abdt9RpjfOEl92gqo6TIER4ZKitlE+WEiqAYPOccLB5QagrtpreOMdQr3o3qZ2xLh1nHjp\nfZHNGPTPQvFOc3+TBPab5zYKLEaouQZOqSK6YsiwdZJ05BoQ06hPRIlJe5C5E16pEJgSqxyLK5wE\nsqr3acwk6qPyMa16rloK2AtPInVBwpIIWRDUgriL89/zRuSs0OuVRPjxQjcAsHHL+VhfXRS+rJRu\ntGyxIegcu1TgsLVgmzAV1vMRVYn1fKi0m+dur8FwFztrigmB7azXAnr19WrdWNH/TuQFs2ZcEAQH\nxJjvubjJfOSjyEU+0k72Kkf+/PnznD59cPbmWtFutxkOh7e1cjzznrxZyrZ38gzy2ClsVWGrElsV\niL1LDbP7w2J1zuqDHMf7+WrmeT4/tsPinSsCIWBSSKxxys+hb7m4o7ACIs+wlynaNV14VrSb6roT\nbQyTqq54C8i0jxIaESRY7cCWCRI8JQCLrmnewloqBEKXWOktKGXFFEsFk4FTIC8mGClhtItcP44c\n77s57rSFHG9jtq+AEEhTIHSJHg4RcYLyfYSu3KIhJOmnP4WtrbWmV7ZASpJPPo4+/xp2NGB6/iIA\nwakzTF59E39jjf4//Tzpx06z9h89ydpXvoRQgs7Tn0TEEfHH7yd/9zw7f/cDWk98hsGPfkr0wKPw\n1uvY8YQ8M0zffoOyuDkBtDshADUT6ilNwHPvpHRa7voFsqTUkl6iSUKYFpLKCJQ0XB25611pg7a+\ns+wCEIpxoQikRkpJZdwDMFKWPGi731g5RUTt+YImTUmuIuYGX50NMBoRHexmrMadEgBZFjMRQtzb\noiM3KXx2FEdxt8QHzUdgkWjfjnzEGDMvil9rzb5WxE98Fu/cI6hjxxFX3kEuUZ+9fg8JBP0FRVfN\nLL8mY/ya8u0t2UbJagpKIaMlJeeqxL/vvgOq4mq43aALQ93N7hykfHv5EHrLM7AeMh+juot9M60e\nnimJpvuINVc410siVDPxLdlebONPh1S9Y8gVwSu/10GpZl4XTLbxZLMoIqREdpqUYx23iavh3JoU\nQLf6KKspNhYd6sp35y1Si9yvxJ2PuBqS15TtZUBt2z209OZCawCpGZK1TzZmqEMKyv7BDrVMDlL9\nE79yo3uz/ZIhLTtg2Frc01nkZsxdEaDel9oGNbETdK1oLup9iGzOJDmBFoq2XID/cbjBKNhoCMCF\ngUX7zfO/5g0IVubjkQoTNe+NIugQ9FY63gj0CqiyusSaJUX4WQdbF3PKuK1ntIVgbgu63ME2SRtS\nRx+ff64fYGvvcJIOwnv/htudANmr7L2jfOSXPxf5SK/O17/+df7iL/4CgO9///v0ej2OHz9+w9uf\nOHGCy5cv37bKMbibeOY9ebMRfOHXMWWFnhbYaY7Nps7S6xoxE1abUUA+yOL8fvtbFAXGmEOPzS3o\nlgs7il5q6cZ63qXWGqaVpKicurSxgtA37Iw9pHAzUHklCZQGIecPWS18EAJhNEMdYHWJkJLcCDwM\nRK25TYf1ArAGUU6x3U03ny0ENu0AyqmPbpxGlhn4KaydcPvfhrAAACAASURBVBV2a7FJx1VU466r\nPJ49h9i5hBUSfeUi3pmzsL/j9ikvST75yXmXWsQpemeb1uOPUO7tAaCOnSS/4Cq60X1n6T79KEIM\nKbe2Gfzjjxn+6Hn07pC9//eHDJ/7Gf5Gm/D4Jt5aD1tpdv/+h7Se+Az73/sxav0kmogsMxR7E4of\n//1tv663GqsLwndfUhSVe2B3YwM1dT/0NFsDQRrUNLBIUmhJEmg8JdgeS4rKIgUM8xqI2gojY9Rc\nadxjohWR1CAEYxk7WwzcXL2xFqndLL72QkTSvaHjvlOV41Uwf09XjleEzw78HcVR3KXxQfIRIYTT\nmdD6toDsWVyvKP5+kf7nv43q9RBVSbgk8DNTpBbjAd4x161V4aJL7vnCFauXvIZlnuHff/9Bh5XJ\nLgfEqIxZgPb5lypUtttU3U7bKF3irS/ExERv3RUAJntz8K1bS3ZfNVD3WosCgD8dUnU2kCtUbn+t\nv7AArSOYbKNEs/EhlNcoQgDotE+sRw3Kdxn3akC9GCko1QxQL75H13PJkR4x7TpAHC4BalpdtPSJ\nzQJQJ+U+WfsUasm7O6Ck6h2coV5WFJ9vrwpytTgnlQxI7YjdeBlQryGFaMyFU6t1txhSSQdGZ6m0\nL0rGrVMYBJ0lQF1FbUb+emNfU5VTek0qek+NUP4K+0JIqnhl/trrkcnmtmk7wK7eVxKockxt92rj\nttN0scbljSzmqgFsqwbZS1R4GwSOCq6XChzWus9aCltNsXNNoKbY3bXiToHsWWPkTn3nL3XcBbnI\nh7onv/3bv80Xv/hFXn75Ze677z6+9a1vNfjvX/va13jooYc4d+4czzzzDH/yJ39yU59/4sQJLl26\ndFsWtaLuMt4qwAZQvTV44FfcLHFZYcscsX/l0H2bzVlFUXTDXtg3Etey/aiq6rrUkuHUAel2Ald2\nLMoTeMqyN5EEnkFJyIuZXRNMSlVX1aDUjio8zEPXxRRgZreWVHMlchnEIATKanK/5ShlgKnpxBTT\neUcbL3RUHulhleeAOI4eJON47hkpOn1EPsH4IaLdw6sr6KbVR559EDXZw+w4ypNKYsTFN9BFPRe8\neZL0obOYyxco6w6GTbsEZ++j9amPM3nlJaZvvkZ48gzjn78CQHT/WfZ/8ML8vKlen73v/pDs1Xfp\nPv3EXEm1/x9/EVsVJGnAeHtMUVrKVxbb/TLFS+/Cm1fc9ZqWgqv7UNaiZgiPSeHj+5ZAabK8pogF\nbi67E7sVOfBVvY272LuZN6f/z5IOX2hs3Ft0raWimAmJ5WOq1gbSVIgV0ZJrxZ1a1Fbj3l7UjjrZ\nR3F3xoedj2xubrK1tfWB8xFr7TwfuRUR1FkEH/s4YT1jbi+9hdpwgHo5//Rrb+plKyw5HuLdd/aA\npoxXjBte1W478FY6jiQtgmLQ8CEW3b7TVDm2EFETdafYG+9A3YUW6RLY6TqQvazU7WX7rnu80o32\nN9bxTJMpFmYHAbUNYkSvSf0t0zUiPW4A6iLquDxlaYba1J3NSFVz4DbTgYn0mGnPAdp4mR7dalPJ\nkMQuaPJJtceke4blQ/CFRvcPFnRkchigzpn6C6CqpU/CmL1wAcgdoIYwXFzsQjlA3VcDCt8xxUzd\nTPGEIeucxOJmvOffH0SM/TU8sWTxJcZMg+YanchpQ1keHLitVjrUE693QHTP+BG9uKCyi/VDKcCU\nMCuw+CHCVO63UAPqKlh0720tSGeXcmkjhEPmeolyXhUH9V5MiTkwqy4WgP0GqOJwZ5h1R/ZdK3EX\n5CIf6kz2t7/97fd9zze/+c1b/vxlRU+49aR75j35QZNnIQTqyS+h/83/hixKZJE7pcrBFnQX8z3X\nmrP6MDrZy3T0a71HCMHVwYIWtD/xWO9BJ6zYzTw22hqjIQygLCzjUgEGY12X2/dqsTgd0BE5VgRY\nW+IJw1gHBNKAFc4vG2ddUVgIqxwbdxHZoBa7Wp8Lkti4jRxsYa2by54BcsIYuXeJyksg7S664aXG\nO34cWw8I27hFsP0etrMBXMIeOw3vvQ5AcfE9RBCi0pjinddQJ89irrwIUhK0UvQ7ryLF2bkgmlia\nD5ZpG6EUCEH7icfZ/4efuH+wlvzKDsFGn2pvj9FzP6H/T56iPP82YvM4w92c+NIW2eV3iI8vFu7r\nxYcJImefPZ7Cc687m7ZuYgk9y+VcEASC2Dds1feFtZJSS+JAg3b31XAac6LtEoqikoCb389MiBDu\nO5QfoetFTlrNvoloy3rRizsw3nXHqHwKbYh0htz86M/PLGaL2lHluI57+diP4q6ODzsfOX78OJcv\nX+b48eMfCGSXZfmBmXng1nXvS/+M4vnvOSutzU2yq1cac65yuIs6dRqypmqz7wPDpjWSDAJUfw39\n7luL7+j2CfSEaRBC7WMtOl2kmSJOnMG+6YrTIk2hHOFnO+g4hWyMjGOYZM4vevM41XCAVQsAEeV7\nTJIO/pKglxSgNo/hlc19C/L92vd4ETpqI/qbMBnMXyuSNdrVpDFDXYVtlB0wXTtLuuVmqB27bkzi\nOUAtsK5zax2g3u+fItq9QGgWgFSkLcpRTMsu9i2t9tjpniEVi33wME6sK1t0sgFHbV9xfk1UziTs\nk+QuF9HCJ2HCJX+DE6X7zCxcoyMsrchA/dWVnwJD+mrIwOvTqnbnjQ8pYBgdZ70ckSwDaqWYeD3a\nclFcaTHgcrhOl735a76oXAHFNge+ddSG6SIfH8sO7cQ2Zt2nKqHnZUxsTCLcd1shCZRhSxzjBBex\nUs2BsUk7yNHufK7aXZtaCDdKsLpmxFUFQkg3ljjfoQK7dpJlGjhYJ4o22WM5bJQi8iW9gCjF+CGK\nX65O9mG2q/c06L4L8pG7+urMvLJn9IlbWdhmIHRG2f4gi6MQAsIY7+OfwExzbF5iywL2FwIey+Jj\nqzSwD1oBv1XbD4DtkUfoO/EzgaXUgsHEiZuFnuW9HYkQ0A4NeSlJA/dACTz3ADN1vUYIy/7URxuL\nEJBb34HsIJ13NquZX2GZU3kRYBFCui62tVjlzWdshNZuLjvP3Fx2rRTKeIBcPw5jt9CIIEQNr2LG\nI0d1UyB16baJU8LNTYQx2HYfMxoRnXsIfdFR+a0XIKKI9lNPMv3pjxBau046gOeRvXme9KlP0vmn\nT1JtX8Fre/j9kPziZaJH7qf35afofv7TVPt7jH72CuOX36H1qU+w+90f4vWP4xnIjUc2Kqn+8eYp\n4x9GzBaEf/sD5lYZncTw5iXBRtdiEQTKUmiBpwxKCbaGXj02YJmaumptK4pKomoRFCUlo9wj9d21\nHpb+XGm8kCEWgdIFIkzmDAdPQB62nRVHMb3hTvadqOre86B6JaxS1/07iqO4V2Pmlb0sWnazMSv4\nR1F0W/IBsXkS/4kvAK6b7T94DrHSjQ67acNaC5wnsjrV9JAV7Ta+zeduIAAiTZC6wp66f/6arC2n\ngnwfwtpe03e5jrRmycd6cWzedB/iZA58wXkj22On8IomGPV1hlyhEpdRD9abneA86hOZiRMYm31j\nmKBsRdZfUL5lTWlO/UWHOqxHnUI9Ju+7/V0G1DJJKYIW0VLXulXtMm43z5nCNGfO5+foYIc6lTnj\naDFrroVPYieMg8X2sw51N6rmYrJV4LrSbTlhz3fNHG0Xa9Ykdp/Z9hfnNvQ0mdeeW2kBpAwYx81z\nKIV1BZKVEHGz8zu2Cf0kR9vFejwSLWKvYIcF3b8wHlIKdtRsNhrier9M3Y0WaZfZvWFnTZSlrjXl\nFIKoQScXWHT/BNjmfWxaB3MJE6x0rb2AUqzMegcxldEQJIjo4PEfFneKWXdPg+qVuBtykbv6as1m\nsuHWAOoMhK76Rd9qzLYPPvNFCCNsVUGRI7Iherw/Fx8TQhw6Z3U7Qfayz/f70dGFEGwNfdphyTCT\ndFOLLzUzllZeCSyS0gjGU0GhXZfz8tDHk5ZAGSojEBis8AlrX2WD+16JZliFbg5GKopS4wuLjTvM\nF1o/cnPZunRK46VLBGwYOXuQycB1tCcDjFAQhJAPnCqk9FDTfWfdsHMFzjyEHLpKpRkMiO5/YF5l\np9UnefxxxHSE3nOz2uVgRPrgGefXjVMSH7/2BjJN6XzuabygoHr7F1AaistboDXJI4+Qn79E/vo7\nDJ//OcWlbcJjx0gf/zgmL9j93gu0P/sk+aVd1GhIMcgYTzT5G6+ib9Da7cPuZL903ueldx21XwpL\npV1HOw2hn5i5angvsVzZU7VXuiDwBNN6bfaUYidz1w4sha693pVGExAqO3/fpBRujr6cMlEtZF2F\ntn6ENgZPKUSUItSNEWzuZCd7Oe7pRe4mLbyO4ijulZjlI7f6TFoVQb1d+UD0z/4zUMopQvcPgg4V\nBYhjzdlfmcSOobZ0LDIMkVWBOf3A4rV6bjuqhlCLQ8lamEWZCnGqZiWZRYfRn+5DEOEVi46vNBpO\n3e+E0JbCozrgg1xEXcxG07tbx21Ck2HkYu2QUYQyFZPeAlArz31WGug5oA6EW49ngNoKSbCk6C2T\nhCLqEi61ZNNyl1GrKUAmscjeQUsyGUWsXsVEZYyWAK0WPjFj8mjBmsuiPlJAx5+i61yqDBzgS+WU\nvdB9v1m6RmXstk+8RY7R8adkMiWRi+JKR03YjVb2XwjkIYB6dQZ8agPW4qyhCD4UXQKpuSoWtl+z\nEb+JtzimOHT3QRC567Bv2s6NBNhIp47RuCTChqkcZXxZUU0IbPcYVM3xANE+6EhSypU8WwgKS2Ot\nslELbYyz+pq9JpRLTTfv40bjo6CLL89n35NxF+Qivzx7cgvxQbwpl0HojLJ92wRLghB19hw6LzDT\nHFnmMLg6Fx+bVak/rLhZn2+AvISru4a8ErRiy1uXBL4vaEeavHCq0r60c0xsLWgjEcC0dMrTkW/Z\ny3wCWSEFiLo6aIWPNgKrK8RsLhtL4SUo6yy+ZoVXURVUBsgn7kFXTLDSB6Od/YLRECbOhiNIwVrE\nqYcQ+RgTt7FBhC8rGDnlcdnuIHbeo9q5CoBKE8SlNxGzOZtuH09p7NYlin1XMffve4D4gbPEGyl6\nuI/JJuB5TF56w+1jHDH86avzc9f6xKNkb51n9LNXGP3kZXpf/hz9Lz3B4EfPEZ3oY4sMFcZMdydk\nwyn58//wga7v7Yi9keXvfhYjBAwywUbLMJrWM/cSzl8Fv+5wSyyTUtKJLXFgmRQCiyDyDPtTHyFc\nkSXwvfmMl9UlgzLCrzsCqACEIFBAmJJrgS2mIBV6NqJtNaK9sbqr14yPCmTfy2Gluu7fURzFvRof\nJB85jHV2u0C2Wj9G8KtfAkAFHnKjCaiF7+MnTaq1VBJVTLCnHli8NleYns4Hu1XdAVdVAaddN1uW\ni45vUAwhCBvgWZkKHjg396+ehecLhFqZ10266I2mwruIUwKbN543KgzwTNkA1H6tGJ6ES+rc1gHN\nqAbURnoE5aJTLpOEMuk3KOppucsoWSlCCPBXZ9EBFYUNoS2AVGaMkkVRoJIBsc0aAmCzDnVHjqmE\nOwezDnUsy4WA2dJaZOoOaygWgLrvjZmItDFXncicS/5BsJh7Bz2zTdC8D0qr6AUTJmLh9jEQPZSw\nXBWLEUhRsxeqJYAs6znudqqxwMSEdCMHsteTnIFOGbCY2VbCYjubczr4fJ/S7sJea37sCSunGeNH\nrL6opcQse2uHLfebSpbp5zMhtaU59/q+NsmNW4neSeGz5f+/l+NuyEXu6uxxeSb7Zhak5Znow/yi\nbzWWb37vE08jkJjSUcbtZECZjd93NvqDfv+seCClvGGAvZ9J9oeabqsGWdZirEAbQVkYxoUDWDsj\nSRRalLTk88K0ZVIqjBV4SlBohaBCEzrbB2sZa49QGYSU6NrWCakoLK5znXRdVdLW6pCifr276Wau\npef8smenLU6R06ED4UlnXrSqRIB/4iT4Ne2ot4EaXMEGMWZ7C3XyPuxl57GopwUijkk+9jHY2QIv\nIH/7LfB9vLU+5vxrUJVMfuHAdPTAOardfYSn6Dz5adqPPUT/y0/S+vJTFMMRsucWi/ih+xi/+ArZ\nO5eITp1k7/svoFp94mqElj6D3YLi58/d0HX5sB7aWlv+r+egqATH+oIksJy/rBnWowJFCVkhKDS0\nIlPPW4OvLJNckQbuHo0CGOaKdmhRErbHHlWdm+Q2AiS2yhHSqy3hwBeGIbHrcFuDibpzpXFhLeYG\nRUbg8Pmk2x2HXYOjyvEvf/X4KI7iTsfJkyfn+cjNOJ7M1uwZo24Wt5PZFv76f+osuITB6zeBg7Ia\nbzrCHF9QnWWtgRL4dg4aVc0u88oMc+oBkApRLDq+gc2h1UGVS/7YuoAHfwW5chzS8w4kwjpsoY81\nAbUMQ3zrxr7mn+lJfFOQ9Rf76+ESkmWdsEC7Tnlci5JpPyLUS93zJKFsrahkl7uM4lV/bFC9gwwA\nGQZzyvZ8ezFhmC46xJUMiOwEEy/AZxbWHWoxpBA1OK071IHUC0C9dC/IsKbgL6mUr3lDRqJNKhfH\nFMiSK/EDB/c1PWiJGaZRY/+NFfSiKUNvsQbvix5Swr63mEs2dcc3TBb55Yz1tp5OKfEoraKfuE5z\nyy+5atbYtc1zuC3W0F6z02zDCGuaivAOdDd/SyaIYGXbSsgGeMYL3UhaskRXr11TKm9xo8xZAjMW\nhB/O8xWZHLSdu1Z8VEX/o3zklzsX+eXZk1uIdrvNZOIeMDe6IH2YM9HLnyGCEHH2Y1CV6GkG+YRA\nZzdsTXQrYa2lqtWab0Yl/cKW5cquIAwlG21NVquIK2mZTEEbN3u9P1YoCaGsKLXEl5rCeCSBBixl\nZevtBLuZT2UMQeBRGImvDMZvIWu1z9kDTZRTpiqCMgelqCxIqZyi+HwRFlg0oqrcjHVd7bZlgdg4\nga0tuWSU4I2uOuYyArW+6QTTWj1EnOJ3UmxNIy+3LpM8eD+mvn/U8VOoOKb98Ycoz7/jvvX4GWwt\nEiPTNr0vfZrwdIvsjbcY//RnjJ57Hr29x/SlV7HTjPbnP4V3+hjFzj7Tty+QXdgmeuABhj97k2pr\nGzOtKI1i980LTC8u/FjvdPyb71UMp+6n30sFo5Fmveeu+UbH8vYVSei7jvU4s4yWVOW3RwohwFMW\nbdxnJIFB49MKZ+BbMCndwiiwDMsEUydtBR7aCgKhEX5IjlfbcFgKL0Ld4PwT3Jn5pKNFbSWUuv7f\nIfGd73yHRx55hIcffpg//uM/PvDvf/VXf8WnP/1pPvWpT/GlL32JF1745VThP4qjuF4sg+ybzUeW\nGXWzuF3MOmstam2T4Fe/hJiOEdsXYX0BJGedZ3+GUD0Pkbt1MZgOsSfugySdA2+AUBnorzfAs1dM\n4L6PHfh+EUYN2jmADWP0sZWZb88jkKbRCVbSEtop0yVAHVgH4oNgxpSTc3/pWI+Y9k5RhW0CuzTf\nnaaUaVPAKi13yZPma1KAbB8EVkHkLxxT6mjJrOE5XcqQWEwhWnSIHaAWdBiSSwdOZ1ZXnjDs14Da\nLIECv7ZTU0tq6Wtqn6Hski51qD2h2U7OzsViZ3GYxVcQexR2cX9ZC2txzkW9YI7tiy6+NEy8RUe3\nqG3BkqWm96zg0Q0zxjauRVPdveFLy47cZMd0WdKwY6Q6FLLp5R0nkiRs3t8WN3bWeC1IYMViy0jP\nNWdmISRaG/TSvLWtcwm9PEJQK8QXxk10W4SbvQZ0pR1wn3XjhUDeZD5yJ4v+93oXG7grcpG7GmTP\nYpZsv1/leEajvpb35O0E2QDq8acxpUZnGZ6pkNkQravrbvtB9+FW6Ojnr7r3GivY3i0ZTSXt2LAz\nsLRTJ2Y2O7XGWK7seeRaEnmGq2OfOBDEvsDUu51ria+cvZepbRk8NIPSdxZNno/RroZqg3ixpIap\nm8u2xs1lz85VEDqaeJ65jnZeV8+lh8r2MKM9rFR42lXazWSMeuBhmLoFySAJ73/AdcQBuuuE952B\nrQsUF50nto0S4hPrUFXoq45abgtNcOY06VOfYvKzH5O98iLhyfso3nOUwOjj58h+XquRao3NCobf\n/RHhsWPEj30cPZ5AFNP9/GcIT55GjgdUO7tkU8P4ex+NANrzr2n+7rmKael++lprruxZ4lASeHZO\nCdzoWHqxQWuotMBXhvf23LXMK4snJbq+4EpYtoY+oafdNa2veaQMwouorMBaB1bngixlRua3CeoO\nhAhTKitQ/o17wn4U9Kx7PawQ1/1bDa01v//7v893vvMdXnzxRb797W/z0ksvNd7z0EMP8fd///e8\n8MIL/OEf/iG/+7u/e6cO5yiO4rbF5uYmV+u140bW8eWC/2Gss9vJrAMIf+PryCJDCAjW6m5lu+Pm\noYEw28VsnER01xojsH7sz+205q/lQzjeBMngwPOB/fA99GbzvVIuBDfnn2lL/CqjWFsA19A4sC8D\nt3Yb5RNUbv1PzZC8e5Iy6ddjZ/X3pW3KtDkbnZa7VCvUXynAJId0eGO/AXqh7lAvAepCRkRMkeEC\n0I7q2eMO+2TKfe4EB/qUsOzHrsNdLYmDhTN9VbsoYPTkPgNvjfay8reA7ehM47oATqF9JbzQZ2Kb\nQLsTFVxmUVgZ0ib0dMPbekYJT8Nqvk6r+ry3/IJd6nnvoG5qSMEo3GDPtIm8Re5dqpBMNMHpervC\nD5o7308q0nQFgoQpNm1eJ6MCdNi8TpWxVMvz1jUYLpd+LqamgVdaY2t7ttlxCSEg7jgAPwshsHF3\nLpQnoxRxEx3Ro5nsOx93Qy5yV4NsIQSe51FV1fsuSMvek9fq8t5ukG09n/LE/UhrEUWOLKeUo8H7\nfMKtRVVVGGPwPO+mf3QXXF6AEpqycl7J7ciwPZAEPvQTTVFJBMaB+NACop7ZlUgsOxPpKOPSMMhD\nIs/NZc+UpSvhKsFWl2gVY40TP8tV7BQ4hXCz14Awmsq4LrdVHsxmt6ZjrATG+xghkdJVgMVoH3Hq\nQcRwx6m6TjO8YoDZ23afF8XInfcwNZfZO3YCcfFN6K5j9veQ3R5ivIfd2YLaKsL6AV4rQRV7eEqB\nrjvwk0WRpJouFvbuZz/D6PlfAJC/exG9vU//y0+TvfIye//wY/Irl0j7KWXQRmcV2z9/maq4vgDa\n7QZ4l3c0/+r/LIhD2BsJjnWq+bUvjSD19XymOg4sb14WdOu1spdY8krSjjS+got7gqwAsOxNa1YC\nlsBXUNPvfGXYzgLSWthEi3heCBPSY2o8pxQK6CDGiw4mDNeLO03POqocg5Xedf9W4wc/+AHnzp3j\ngQcewPd9fuu3fou/+Zu/abznC1/4At2u+9197nOf4/z583fkWI7iKG5neJ6HMWb+XHq/fOR6BX+4\n/fkInT76Y590r29fRK5tIjtNQON12ti02TUMsz1E/6BWho0OzvT6Cqr1JuXbQ6OCZhEhtDlhOaZa\nd7PKVsg5ldvW3cYqbBEYt/Z37JC8c5wybRYAaHXQS7O0AK1yB7PS+ZQCTHwQUEeR54RUl6LNmGG6\nKApkMiWkQIZLQl+qV793wES578rrrq8UMIzdDLdYYifMZsMjb5E39NSI/eAYbbUMqAW74UlW8Zp3\niGe2F3oMbPNYW2HFjloA6rFNSHyNWLoGY+m2OdErya1ff5b7b+xr9j0nYLbsM54HHUYmphUuXlO+\nZETzvG62i9oDbhFpoFFR8z6fkBJ2mxRy40do1TxOTbMwgR851qbWMGM1+u7cW2udNSgsmAdCoOM2\nVgUYuygGmDA9oByeCzVvHsj45qjiH5WF170cd0MucleDbHDV4ytXrrzvglSWJVrr63Z5b+eiNq9S\nP/okaIPNc2QxhekQY679Hbeqkj6dTm8JYBsDF7dhLdW8+q5hvSvwvWX7EcF7Vx11OPYNl/YCksAQ\n+YZKzzrgmqxUTvwskBgriTxLYWNkLT4yLhxIByhnc9meT2mdEIpJemAc6HR+lwbyMba9sRA/626A\nkK6r3d1ETgcYL0JEibPLMxobd/A2NkAqRw1vdRFbjppd7WyjTp5BzGZ+ki4ySYnPnkZfch3tcm8f\nmaR0nnqS8tWfIbSm2HGiLbLbI3vpdaJfeYjWP/ksfjuk/ZlzdD//CazR9L78JK1P/wrB2ZNYU7L7\nt9/HXz+BjGOmb28zefsCcppRigCbjfnR//5/39S1+iAxGBv+j39fkJdwatMjDmE8KckKge85+vdr\n5w3j3D0SRpmg0m7OvhMbyvqUtSPLcKrop45q1Y5FvY3BWMuloT+fZyqtqi3gNJ4fzO09BJaspo4p\nU6LDDros0CiKorjh+/+jsPC61yvHCHH9v5W4cOEC9923EN05c+YMFy5cuObH/9mf/Rlf+9rXPpRd\nP4qj+DBj9TlxrefYzGUErj/WdTvzkdnct/f0b4AQbuRnfRO10smNJtuHKkzbwzq+oqLsNQXBfJvD\nUnfVIgj1mKgcUvWdmrb2Qvy6Gy3qmdcy6aNqsbGu3adobR7oPNt2DxM1gU9a7jrP5qWQYiEK1tjf\nQDYAtUXQEcNGh3os2/iiREVLgNRbAOqRcgn4bIZaCuaiaF6wSOxbQYkFYn9J5VuO2Q1P0pZNj+9B\nuNmgVoOjfK9eehX47NBkFCSBZt9fUN6nNqQVlizXbYbCgc7j7ZyhrinrtbiarywXq1kBZQFAcy8l\ntz69aEFZj0PDnm0WNPpxQek3z78nLWblmuyXESOa1yTpxFQrYEgLSWkMzEYFpUJr7cBxfe1nNHCE\nwNb3iF5yJNFhC4SgWmK2ahU4vZ+lKK1ErwjtWSSmPvGF8CjL8qZ+gx+2oPHqiNw9nYvAXZGL3PUg\ne9k241o/hlXvyWvFB/G3XP4MY8xi7rvVQZ68H4oCUeaoMmOaTa67/a2opN+qz/flPagMtKKKSgui\nUNKLKipdAyJrEAJKLWmFmlK77jbGTdwKDPuZRycySMEceAspnPI04CuFwc3hFiJCWofYdP2gF7pk\nKsPatks4i6uapmOk5+jkynfzOkI5OsjsQat8xOapMELINwAAIABJREFU+ftFq4cabmEilxR4Z+5H\nlDk2iLCTMUEg0Vtubk4XJfEDZ5j/DMKIajggPXMMM3ZJgOz0yF57HRH4tB5/jOTcJnbnXcimZD//\nBdPX38JIn+GPfsr+937M5I23CdZ6xA/dj4hDJq+8iSmFEy7REfL82+itLcrSEr71E372ykI4Zjlm\n1/F2PETz0vIv/tWQ3VHdpY4koipII7eQHesJ3nlP001hUgiOdTRbA/feQsPOgPmcnJCwO1YkgcFX\nlnocnlZo0dbDWigr6zoa9T0kqRiWEaFy190PQkojUMIisIxEjLIaP06ZTqfs7e0xmUzQuul5uXp+\nPgqhkXt9UbtZdfGbOV9/+7d/y7e+9a1DZ6WO4ijuhmi1WgyHw/fNR25krOt2PGuW85EgCPCPnUKc\nq7vZu++h/ENmFw/xFo7NhLLV7GYHeoxNF6BrRuVOy310x723irt49Xo/Y4lV6dp8jjjKdyjSNfRK\n17Bqrx0ARa1qb8GvrkMJe4BKDBAGogGoNYqOGDJYBtReF4VpdNmnwYzyPZx3q2dCX1IIJonrECtv\n8dkdP8cgiNSC5daSGTvRGVo0c71pvHYAUIswbPhLg6Npby3ZYQHEgWbiL65NYX3afk471vNRvYFw\n/77eKtnW7tqUdWdYSsFV4a7L8vi/n4RUVtKLlyjrSc4ufcQSbaAV6gOFDwDZaoLnSeXhR83rtF9E\n9Lti7iTivthrWGdZoKrfMAPPRK05YJrldEYtPruqxc+qpUnR0gpYuSeMsWi/yZSz1lDJJsgWYYSo\n70UVd5hMJuzv75Nl2XXHUe+kCOvyTPa97nxyN+QiN2ZI+0scJ06c4NKlSw2AvHwyV70nrxe340di\nrUVrjVJqQQN7+DPY7/87ZD5FlVPy6RibJNf8vltRSfc876a6gLN4dwtOr5k5IFISXn674uTxiFZo\neOuyZLOrQWlKPRNEE7x9RXJszZL4JaMi4ESnwFNOnRogKz0EhkobkCGg8T3BuIzpyjFWevP5dKt8\ntLVOYTztw3gXqXxsZ5OZCIaNEuRw4rrV66cwxRQFCM9HDK9ighZIiagpXdYK1P0PQ239YFs9wvY6\nTAaYwS4AXhxiz7+GXnfVLXXqDNH2Nnpni7xy71HHTpEmfWQxpLhwnurqFjJtMX7hZffvnTbjnyzm\nOtJPPMLwez8BIDx9nODRY3hpiB4NUKkgOn2OndzDn1bEk23+4n99nn/+zx/h1ImUIAhu+4O60pY/\n+ddDzl+uaPfqBanSXNgyPPKQjxDO53ySS85tSAprGY8N2ijiwOJJy/5YEEWC0LfsT2rgLEAJiVIW\nKog8uDJU9BLj7DpKNbfvssJjWkrafuW0E+qiRiQMZdRDGbC6Im51EFJSVRV5njMYDFBKEUURvu9f\nc8Tjw4rDnif3OsheVe387o9e4Ls/urY4yOnTp3n33YXI37vvvsuZMwdnOV944QV+53d+h+985zv0\n+we9Zo/iKO6GOH78OJcvX+ahhx46dC2eFfyv5zIyi9slfFYURWPuWz39G1SvvoCwFtVpY3cW77VA\nXO5RxF38bB9w4DmsxhTddRi5+aIy6tCyJarcZdrqo0a7lOkacW3bZDrrqMFVqqQDOCp0XOwyiXt1\nl9l9thQC+sdAWzCLgnPb7DMJ+ixZU6MwmDBtvAYQ+caNj9VU4FIEtMWQvdZpekMnYjr2+/SExVsG\n1H6XDhkdMWTf69OudtF+BDiWQZZs0h7uzb21AbpBhkESq8VOJHLKlfgsG6JZMNdJFyW3mq+pgNJ6\n+GIByGXgs1Uc4wSX5q+FgSWnBYXbvrSKdlAQKEW1J51omuiyJgXtsOKK2eCEukqhYmYnaKD6rDPA\nLgmJpanETKCbLL5/sz3l/IU+96nF+wJlmYR9oDneWHpx47XKCILIa4h/D6uETtcw2fdIPPc949Jn\nM4Arux1Oxm57Nx9tMXEXWWQ12Hb7oP0ID7B+NNdBK5GEgBZi/r5KG/wwwS7RwK016KQH1ZL+kRBU\nfgJL3uxCeeggdRa7s21VQIXA90PiVpuoFhPO85z9/X183ycMwwOs0TsBeI/0YQ6JpXzklzUXuevL\nIDNvysNuvsO8J98vbofwGDRpYCJKYe04pnSUca/ImGTFodvf6I9oNtO1rJJ+Kz/A7X3LS6/n5Foi\nhOXqniaJnIVTL3XAOgrAlxW2vl0mU0EaOdVxTy7snbYGPta6uaxhLokDg+95UHdBtfCxCBSGymuB\ncarkGQoP6x6Es7lsYakMSF25uexZFFOslKhiOn+fFMBkCCcfhIlTGTVVhVeNsPXcs0w7yO0L2MRV\nd/2HH8eed6JlxcX3UL0+fpJgB7uoYyfRe3sI38dLIuylN0F5TN92C3Z45sG56nh07hz+Wo/4Y/fR\neuIxRj/8aeMaVTtOzTx7423KnYzJL14hFu58m7LiP+m8yP/wP2+xt581Ori344FaVZZvf2fEz14v\nue9kQKXhwZPw8lsO/O5PFKf6hnHtj+0HAl1WxJH7/35qefOSYK1tnfiZWLwXYTm/O2NOWEojAUns\nGUJfzTsVvrLsZD5g0VWFkXF93WvhlEoRKIsKIkR9L3meR5qm9Ho9wjA8tLv9UVWO7/VFbrVa/Guf\nfYI/+K//q/nfajz11FO8+uqrvPXWWxRFwV//9V/z9a9/vfGed955h9/8zd/kL//yLzl37tydOpSj\nOIrbHidPnmwU/ZfjZgr+8MGZdTOauBCiMfctj51B3P9xCELk8GpDDdskHQJbUvUXvs6zOei02kXX\nlN1ZR1MK0F3X3Z11GgHicpcqbEGwmK+VAszaccSK8m9c7h0QA/bQB+aqLW6eeVnleyoT2nLCsLVI\nlkeeU/T2lwB17rvP6ogho8BRrmfCWABZXHd4l/ajF0zQKGKxAGGxKNhOzpKKZofaJu0DomSlDMht\ncw5ZBgFb8njjtci3zve5Dm0lnSBnPc3Jjct9BrWVVuxrLhl3vnO52GZaH99yr7XfNs6WK1kwwtbT\ngremmw2hMiUFw6Cpsg4w1AdnwJN0SbwU2K8Sui3LXrHoEu9kPkoJdqoFyyGM3YntrM8YiB6mXsur\nmnGwLEJWakcZX1YGN8ZRxmc6P/Pz1T6oF1AFTRaEZVYgWHotiJ27yfJnCY/MSGQ91y2EwPd9Wq0W\n3W4Xz/MO7W4f2Xd9NHE35CL/QYDsw2wzruU9+X7xQUD2rJMspTx48z/4CWxZIcocT08p8uktf//y\nTNfy4nkr+/78y86fen8iuW9dc2kH1ruStZZmWrgHiKfgncuKvJJ0Ys3FPUkSlLSCxYJnjCTXkrKy\neNJ1kiNlGJUBntQIAVVt+YSFaaXAGpQfYoRCWkMZtrGVA6+OEmSc+FlnE1FXICs/QpgSkQ2wvWOI\n8S5GCMiniCqDgRM7U1GIqArM/g6k7blNidEGdfw00q/3pbMGZUm00aO6XFeSozaq16P1+CNkL9aV\nsfaiolUNp3R/7Uk6n32E/I03MPtXqa5cxOYFMvRoffrjdL78FKrXYvrWefa++yOiBz9GsbWDiNYw\nb7yG2Nul0oKT07dJU4//6c+2CWqK02AwYDQafaAEKy8M/+Ofb/HK266am6YepzcgzzUW2Og5D+xX\n3y7YdiPnCGu5sGVBSqRw4NlYJ37WSwxF5WjjaWDYHSukgGkJrVDMfdOVtFwZ+QQ1dS7wFMYIIt+i\nlGIvU3MGwxQfhMCzGu8QER0hBGEY0ul06HQ683MzGAwoiuIjWdTu9TBCXfdvNTzP45vf/CZf+cpX\neOyxx/jGN77Bo48+yrPPPsuzzz4LwB/90R+xu7vL7/3e7/HEE0/w9NNP3+nDOoqjuC1x4sSJhkbM\n7Pl9qwX/W41lodfD8hH11K8jOmtIUyGXVMLL2IHnltmb02tn4FlhqdZqD+glVe1E76P9uCHypbAU\na2eQK8gzroZ4sgmSPDRihaKuhSIUVcPHeep1aKlpA1CPPbfdMuW7DNz+tsWQcQ2o7dLs7SR0r3lL\nndu+P0ELj1guAHUkSraT+0lWZqhF0joAqLXyyVYUvYUfcFU1AXXo24YAmLaCdliwkWSMtQP9+3RQ\n0hWoL1m3/YSlOff63C+D3c1OQWkVyZIoWTuseH16jDRsjl1l0cHunAkPrr9rax5TvXim7xch3RZc\nzhbFlO2JO5atfEEZnymSm9opRBvBes3+Vr4Aajp3fU9qYzBeOFf1nh9n0qVaLVSlzZl0gMo/OH8/\nlU26ulUBmVWNWV2jAgorEEt+24VxgNy2Dn6PlJIoiuh0OrRaLYwx7O/vMxwOKcvri9jejjgMyN/z\nIBtxzb/V+Khykbs+g5x1suGg6NiMRn0zcasgu6oqyrI81IoDQLT7iLSHyKfIcoJXZUymB+28buT7\nb3Sm6/1if2S5tG05sSFpRZZp7ha/OBLs7xfY+iE+mAhCH7JSEnoGkESBYDBxD2ApLNtjRewbpHQW\nXrNjGeWONq6Uj9YGT1hKFTmfTZhbK/gYSj9BmQor6rlsgDKnskA+wQoPiQYvBF1hkzbCGAgSxOZJ\n97DUFbZ/HLl7EesF2P0dvJOnMTuuEGPGI4LYw+SzYeIe8YP3gS6prtbvqTTJesdRUWrK0fS9y3hr\nfbq/9gXKS68zffkFZBBR7TnaW/LYo4xffA2TF4xefBU7yijeuUTnc7+KiCNGP3mJ4MGPQegTP/wo\nVQ7VOMdOJjwhX0AK+Jf/y3m08el2u/PiyY3MJ6/Gzn7Ff/cvr/DauwUXt915VhJee2uCX8/grXUE\n710qOLGu0Eaw0bH84h333kEmWE81k9xdf085cbykXreS0LA/UfQSi5KwNZRM69NZaEWpHUj3laOT\nAcRKM9Exse9+n8oLKGu1d2GquSLotUIpRZIk8+52URQYYxiPxzd1bm4mDlvU7nnQLeT1/w6Jr371\nq7z88su89tpr/MEf/AEAzzzzDM888wwAf/qnf8r29jbPPfcczz33HD/4wQ/u2OEcxVHczjh16tSc\nWbcqOnazBX+49XxkJvR6LTFUefZh5Kn73XdM9pw/MAtlb89qig03RiW8RU6T2CFGBQ3wrKwmW7sf\nJZrgObFDghVut0cJ7SagLlVE6OlGYjwNeqRe3gTU0q0RcklgTNcCZB0xZFyD5+VO+ch3r/lLnds1\nf0IlfBK5aHSEsuRq8gCpbDY/ZBof8KE2XsDINkGplj7bS4reAKG/6OCCs0htRyXrcca+cfu9p9t4\n0q2jV4Tbfvmz/did+3JpZvtYuyAzAaG/WPciz/Dm9Bj9pLkWVvHB+XoTxKxq73Y6ku1sATYnpUe/\nbXl7sGAT7Obu3hhUC8Cva+Zhp7e4Jt2O29d+G8aFYq+ICPwFG4yki/GbBYkqbKNX4EgVtLArO1r5\nB7vrU7zm2iNdN1r4C6BtVIAVAhEuAHlJs4MuPH8ueqYOKfrPYuZqNGPb+b5PURRUVUWWZR9aPnLU\nyT4YN6MuDh9NLnLXZ4zLnWwpJVrrhejYNawxrhcfRN07iiKUUtdWFX3wcUxZIIspgZkyvgZl/Hpx\nPRG3m9331y+4hafbVmTjHL+ePbJas7UvyCqPzXbJpV3FWgd6iaYoZqBNsDOSFFrQDg3TSpKGGiEk\nQV0hnlVBjTEMC/cA86VlUPh4UiO9cP4QNSpAW5C6wCZ9pC6xCMqojUUggCrpIK0GoWD9NPNhnSBB\nZHtYL3DKqd01J/gStVH3PYSscihyrBfgdbuIyQC97WadVBzBlQvQdoux2jjmZrz3d9BlDQLXNgmP\nbxBGFpvnzEzDi6uL2aRyfzGP1f3spxn++Ofo0YT9f+98s9e+8iXyl17EZAXjnz5Ha7PLNBfoyvIr\n5jUuXC74x+cH/Df/7cu8+16GUgop5YEObp7n173Gz/18xDf/8ipvnC84e9oplJ5al/zi9YyihL0R\nBD6MJ5rxFNqpIvQtkdIYA5s9QRpa3nzPMMhq8bMSxrmrDsaBRdfAuRUZpHAFGhCkoeHKUNaz+DAu\ng8WslJSMC0XkOfpiMaPRWYtWIUEQHnI0B2PW3Y7jeJ5A3ui5udk46mQfDCPVdf+O4iju5ZgJscJB\n0bGbLfjPPuNmn2mzgv/7iaGqhz8BgKxyxEkHqJfBc8oEIz3U0vywZ0pGaw8eAM8tMSYwWeM1D3Og\n85j7HXw1X7kBmIY9QjtlkJ6avzapfZbtEsDXtUBWV47m3Wi5pCI2rgF1oJbo0aED1OmS53QgK66m\nD5Isda0BvOTgGmS8iIFtimgVRrHnNUXJokCQJEtdUitoh/n/z96bxFiWXed6325Od9vom4zsKiuz\nWvYsipLee9ITDFgmDdCERhpJAw0IgbLwJoInGsiCbECAAUMCYZk0DAEyBIkAJ+SAIvj8aNp6pFhs\nKqnqq7IqK7Oyjcjobn/avT3Y57aRlRmRVVlkvYoFBJB5455z9mni7P2v9a//Zz5K2DUO6O4VNTxp\nEFKwU6qETypuDz2jiwkxrpVaTLuoEvrjK6aV5Vq2xEJtBsxVD1pOGT8iM9PrxEpVcas3ATaNYL5m\n2YrH22/13bVQ4RjU9gs3rtUVOdLnGY65URXcbAd0M49GuWutBS3ToLk4XWku/ArFzFxRKO+A606h\ngwMq0Zn0p8AzQGzllBWXKBNFZoIyPlQxz/TwfARDB9Zk6LddAnghBNo7HHYQQhCGIUEQ4Ps+xhja\n7TadTueBNJLuFcf2XQfjg7AW+cCvIJeXl9nZ2Rn9P8uye3pP3i/ejbq3Uuqe24v5VfAryCRGpjEi\nT+gl09nfe21/v56uo479rZulSEmes7njfJDnqparm5ZqYEkyMeo5qQSw3y4Q0omb7XYUnjJkBSSp\n+8P3leV2WyOEJfQgzSVaGqTUaFkKmClHEVa2IJEVRGnblSJdHrvIyKTr4ZXKA6WQWKyQmGF2yhRY\nTyOGwha+jwRslru+7JJybpWPtgmmfLHK1ZPI7evYsIrZ38E7/wTmjrPuKtIcNTdPcOokttPCIkiu\nvo0II8JHzmKuvo5JYgZXXF+2t3aC/muXkZWIxq99mmB1noXf+gwL/9WvIsOA6tOPIpREzzcQ0rL7\nf/+I2ic/weDVN/DXzhG//BK6u0uSCRrxNk+tD5ifD9ndz/nv//R1vvv9rdGkE0URzWaTIAhIkuSu\n1e12N+cr/9ct/ue/uc7l62UfulJsLEsqoWGQWJYXFJ0+NMOc7Za7Z5mR1LwcK4bZZ8HObs7KvMBY\nwVLdcGXL9ev3EoHJDWk+FMCDG3ua0HPUciVdX3YtdJn5buLaB6SAXurunRI5QkcjyqD2JD0boPXR\nXorGmKnqdhiGpGnK/v4+vV6PPD/IEjlq3G1S+9BPcveyzPiwX5vj+NDHJMgGSJIEz/PekeF2vzjq\nnD6Z8B/SxN9x+5OPY2tlb3U+ACGmwLNnEnrzjxCY6epuVad4xTSgFkqS1Kap0XEwh/Km1ylJ0CC0\nA3q1MaC2JXierG4O+6UX9BhQaz1+v/RLGnggx+/5Bb9HJnxqE/3SDlCfIxTTdF4vOrg+NF5Ea8Zz\nOjOSljfd8xuFknrFjiy2jBXUgoRmmLKN621umRpeWWxoS3eNe2IM1ucaAmun+8IXqynbxRyeHt8v\nIQXbLLBYm57PdLVyQKW80AG9bDqR4wWK670JBXgLjaqlXYwB6J1eiNaC+tz4GR0YN661JWjFbm4O\nSjeS0Bdc2a+QFoLFCQJajyqbnennfHmtgpgBrJkdq4iPxqV80NPbFsqfqjwDpFZOgWfhha4YM6E4\nXpTsyISJFgLhrsvAunMQfjiar+IC1yNeri89/51t9d4prHXtcMPqtu/7h3ZKOcoxjivZM/EBWIt8\n4EG2UgpjzOgH7u09eb84yqQ2pKVPZqnvt73dOA9ZispjAhHT6R8OZBtjSJKEIAjes+raG9cNZ1fh\nxh2LVrDfF2gS4lSy2BQsVrMSOIE1OTsdRW40i7WC9kAwV7XUfDsSLUlz55FdGEhzQVZYQs+wH/v4\nyll8DfuIhIBurjFFjvRCCmPwBJjK/LjfyQvAWmyeYRrLeKWsRy49RJFi4x62sYQoRdDIUqRJobRI\nk4HnerrzHMKKq1rjen3U8hrKpNi2EybL9/cJl+dHQmlqZR08TeX0GmbXJXG8E6fJ7jh11fDkaZq/\n9lG8hsXGMd3n/pXOTy9i0oz9f/4x/dcvo1fmaXzmoxSDGIqCvf/vp1Q/9jHaz71IePJRbAZmMCAb\nZPyq/CmNmuTJx2pcOBvwv37tGv/D//Q23//hDnHs2gO01tTr9anq9ptv7fB//MM1/se/usZ3/3mf\nc6crxKm7J0rCW1e6o1741UWP9QVDkhqSzPlj+8rw5vWcfpkoybKCvS5UI4mv7UixdbFuqYeWO21B\nLxFIYdnuDJ9DSy0UwwI/Fc+w0w9phE5pXGtFmtvRd3f73sgTVaiQwD/6AnSSyj0U9hleGyEE3W6X\nVqtFHMfvSjjouJI9HUftyT6O4/gwxbB9bdKZ4EEBNhxtPTKb8L/v9lLC459x/4x7iPUz+Pm0QrYf\nSjwzXfHF8+lV16c+SvzmqBd3GJlXpUqfXnXCS7usQk7acxUlAJpXbfqlhdbkroZ91aEYJwDmvB6p\nDKnJSUBdsFM7N3K1GMZdK9R+xK6ZblHKjKQzA6h9X9CsFphy3WKsoOon1IKMOyW9u2VqI/Zet6zA\ndxkD6oVGQWHFCPwBNMOMTbOI703fm7ZqslCbTgioyGc2B52pkN14mjotPc3NwTQ9vF6FTI6/txsH\nRIFgeUmNGGnt3P1+sSm42XLXathfr5TgeqeKsTDfmFDT9iO2+wFSjT+LappMTAPqvCjIZucFqREz\nPeBGedgZQJ2jJirPgFRkBmIx/nuy5fPUN5KhwG5ePk+JFQjlgRzPTcaCCKqj7dzJCgiqI0q+FxyO\nVTc1/omE/KSWTL1ex1o7pSXzoOuRSWbde1kh/yDHB2Et8oG38Bo+2N/4xjf4rd/6LWq12rvK7gwp\nXveLIcCetMaY/f1dLYdWz2BvvYlMYvwooUdKnClCb/wHOvsHdFjK2VEm5G7fIoRlazuhXwRsrEga\ntZSsrFJGIVy6VvDYGd8ph+8LtLTEmQRjR9Thm7uSE4sG31j6mUQKJ1WSFhItLVII4lwxF6auL8a4\njGyCjycN5AYjAyBGYoilT2icT7aRjiauTE6hNV46wAqJFrm7vr02xeI6avsmBhCVKvR2od2G5hKy\nFEEz7RbeqTMUpfe1QeI3KqNeHFufI4hqsHWdjHKRUW8SDnoQ90mulzYcYY3w7Bn8uQr9y6+T7+6i\nFxbpPP8qAHp+jvZPXhxd4+r5s+x+9wcIT9P47KfoPP8SRT9m/jd/HZv3qK4usN8vCKuGlf51bt6J\nSyq6ZXnJ4/LVAf/L//YWj5yOWFrwOX0yZHU5oNszbG6n7HUMz17sMD+n6KfDLKxGqZyPnA94/uUO\nUsLtsi9bYHj5jZSPPR7R3oKTS/DSmym1CPa6zsptc68UI0FQ9QqGGY96BG/fgaWGJTWShUrBTk+N\nqOF32orVuRwQZIUiM5LISwFBmkmgwFOGpPCxCEyRobVHYSyV8N2B7MkYVrejKCLLMpIkGf3tDHsi\nD/t+MMYc+Nv+sGeO7Tv0XR/HcRwH1Ot1+v0+f//3f88XvvCFd5Xwh8PP6e+0Rrjv9uc/jn3hnxFp\njAx8ZH8aZAs/oOOfoN6/Ofos82tOaKw7/l7uRTTp0g5XqMWufQ/PBwakfp1qz4mKDh0k6rSI/SZh\n2kKWyXMpBB1vkUq6TzTRGz2neyQyojoDqG/UzrEhtqfGqyJ/WmIbyKXPbjHHgtgfn0MBqb/IQj5u\n+dLKUAsNxb5ECafM3QhSfG3ZEquscZu2qVIvK82xiqBwlO8hXF9uFmR7ilz5DK20qn7BLbOCH04/\nB7HXYDGapt0HoUTLsUUVQCJCbvUl65XxBTfKYzuvs8D4OlUqgiQZ3/t24lFvuMpzv6WoeAW7A58q\nUI0EVzYrPLrQw04kknezCidIaEwU9INqwJ2uptEcj39pSXHzus+khNrinGJxsQnFxDlJ6dZZg/F1\ntn5IoXxUMn7WcumRC4/JtEFsBVhBA3c9htXn1EBF+9g8dW40xglgibCCjXvEE/ffBlUw0yyAQocY\nIad6FlLhk+W5Y3McsnVtMt4pIa+1RmtNpVIhTVPiOKbX6xEEwZE1Gu5mJ3q8HvnlX4/88o/wELG4\nuMif/dmfEcd3V+w+ShxW3TuO47vS0g/z0NuV08gsRuUx2ibsde/x3QmrrsNmxA8zKV++kfP2tT4L\npWBFLbS8+lZO4CtHDe673tteImiGMZ1YsdCEZlSgyuxlUUCcucq1Jy2DTFAPbAmwHFg0dvgSMez1\nfQpj0AK6qSKQBukFmKEXtnZ92SJPMZU5bFpm0IOKeyEmfVe5zhInftZYREonnGWCKmKwD34FsgQx\ntwhxDysVIoxQ7S3MrgPLOvQRnT1MKbzlnzwDW9ehUie/s4laXIK4C50WcmndAV8pUZGP6N0BBPmu\nMxf1ljfchQCCM2cxsRtzeO40rdIv22Y5nYsv0/zURyEbsP///hDQDF55Bc8kxN0UnfT5b8++jR94\nrgd6IHjq8QpnToa89mafH/xkn+/8P9v87393g//zH27wk5+3+MnPnSz4mZNVrIXAF8RJQTPM6A1y\nrIWzJ0OSFB49Aa9dcZOfo3mZstoC60se8zXY3c/oJ8Ipm0rLG9cNcebudZJCkgkqAVQDw1A3rlmx\ngMRYiFOIfEuvrIpLYYhzD99zs56vJO1E4yvHOunkEUVREAbvHcgexmR1u9lsIqWk2+3SbreJ4/jQ\nibRJ+67jACvUPX+O4zg+7FGpVPja1772nlBEj7Ieudsa4b7bax/OfxJw9lK2OV3JLbwIotmqo09D\ndKZsn4ZiY3EwN/rMK1uC5mWL1HeoTVoHeKQQJDVXCa6KMfV8wR8wUPWpfulAFWxXHzmg6C3uwoDK\n8NljWj27QNDz5qY+09qyUMvI7bDCKWhWciITyxaEAAAgAElEQVSvYEu6ynvbVPFLQF2Ufb6diQr1\nSiMjNh75BFU51IZbZhXPmxFLCyLq4XSFuhrZAxXqgY243p+usBfSo2Onq7xRJKjWxhsPMkmz6kRs\nhwJmO313fTwteLvtxp3aCVuzssIdhuP9LCz5tGPJfGP82fqK4lZ32v4qCiTnnzxo+2XC6XEa6THA\nO/iZnT7xXGgSK13lGRBeMFKJHvZbmwkmwLBAkk4IwuU6HG03jFR4FDOq5QPcsSYjk/4oAeQ9IMi+\n33rknZxSDqslc6wRczA+CGuRD/wd+853vsN/+k//ib/+67/mxIkT73oxfF+694Q1xjtlqe87sa0+\n4jJfSUxASpYVlCzlqW3vBebfaeyHjYuvJAwSi9KKRgV6gwJrBXEu2Vgw7HRcpVpg6A3cy64WWK7c\ndmrTvrZ0YydyVVhBdyCwVrisb0ehlSXyBXmJZSwKKR2oU1o76yZREFNBWbcYyYZU8jxlgIfIExCK\nwlqEdPYLoxetUM7KoqQGyfkVpLXkUlMsnxxVzG1lDu2VNiRxH7F2Cm5fBSDf3cF75DFEVmZeG4vI\n5hz+fB1zu+zVTnJkrU7jV54heennCGNGiuhWCPpvXqP69GPM/cZnII+pPXGK6mMbBGtLND7zEeb+\n7afwT6xQuXCa/R/8lN4bN6l89GlaP/gZ/sY5vCTBFoYsNXwke5nFBY/lpYizJ0NabUOaGc6cdMdb\nWQpISuG51RWnECoF3N7JWVv2+OiFCm9c7nJjM+X2dtlLX5GcXDb0B+4ZC3wnZHbnTkyvVA8PQ0Gn\nndKsuxfT8hxcvlEQ+U5pfKVesNcrwSaCOLF4ZcI88i039jTzVeu8KHNBko9ZGXt97aZKgcse47w+\nlRdiLFhj8L2jE2qOMuFIKUd97ZVKhSzLaLVadLtdsix7x7/V2WMcZ47dM3+vn+M4jg9zfPWrX+XZ\nZ5/l61//OrVa7X1ZjxxmjXDPcTz+jKtmej6iMi3yhVLUadHVc5MfAZCEY5AVlGJji7pFqh0oUqXe\nihTQidYwQk75S1dFn543hz/RVx2onK3g1MEx6oOA2iiPPTljtaQUHTVNmQ48y2I9I7OltZQVzEU5\noR4D6papjijfoqQLTwLqpWpCz4TkcnyNPWXZtCtTveLgqum1YBpQ1yNnjTkZ7SLien9GaV14pDN+\nzn4gWZgXI6eO3LhWvYWG4HrHgc07vWAkWje02OoVE97opW2YPwGo11c1vUSyND8e13xD8sbu9DMg\npeDJj0332wMHxony6NvpuVwEFVLUVMUxQ1HYCaVvqUbK4kPKuJ3oVR9Sxoc0cCjFyqQkm8iVD6zC\nzqiPD4wgnQX5Qk5ZugFY6SG9AKU95BEdAOBoPtmzWjJDnZ37OaXcrZL9YY8PwlrkAw2yf/azn/F7\nv/d7/M7v/A6+7z+w3cVk3G8fQ2uMe9ln3XccSkFjCZkN8PM+vkjZ7Bzcdti/cRTK2WGvwcuX3STQ\nHUCRDthpy5FQx9ZOxiCBhQakSU6t6l46WW5Jc0FuJBWvoJsIGhWQ1hIFZcbXCkBiLXRiRVZYfFmw\nN/CIPIOSYtQjLISgV2jne+1HmKJAMFQRLR0yozpYgxBgmyuIIRcsjBBFgjAFtjaPMO7lJIXE0xJT\nCmuYSg0Zd7FeBF6AajRK4bQQjEGnLfKd0rrLCoKVeecBWjhLkbzTprK+6ETVKIH1G5cRnkfjs5/B\nn9PkW2+BKei9+CrJjVvouXlaP3yO9k+fp/XsRaJHTiKDgPDMBiZOaP3oBaqf+DitH7+AMJClgiIz\nBL0t4r07pGnO9l6OMZar1xOuXk/51EdrKGW5cDbg0bMBg8Tw2CMRn/5YDV8WvP12l912hrFw7nRE\nt2+Zb0j29hJefWNAGLhrfmrVY38/pjCw3XLtSJ1uzva+QSpnvRV5hjiF1UVBxYe9dsEgdX3YSlg2\n9526qBR2JIJWCQy1QDDsiwpkznbXAwxZbvC0Ggm5edKyOwiItMH3724xc784yqQ2jGF/5LC6rZSi\n1+u9Y3X7eFI7GMc92cdxHHePb37zm/z5n/85v/7rvz56dxyGMXOvuNd8bq0lSVzF914J//tGpQ6n\nn0RIAf19bDgGWVoYpBD0K2N7qkC6tcOC1yZVDmj5pTiaEpb9aJ1c+lMWWQ3dp+8voMT4XHyR0auP\nLbqGIYO7JAuCgD0xDaiVp2gzLVQWegVL9XRUsS2spBlmBMpMAOqxKJkqLbIme6gXKwPapkI+4bWs\nFWyxjPKm33FB1aMWTgOjelRQiGkQt5+F3Iynq+mJ9RHBNCjUnmR1QTDI3HxtLDSrlmo4rkZvdf0R\nsO+UVmCdbHzNao2yn3qi0r+xotgfaBbnxkv+MJC8ulM/kCR4+hN3A9Qz1llC0jd62o/YCx1YngC6\nuXDFERGO79OQzj0SK/PGImRDpe9JhfVh1Xuy+hwXTHltg1t7JnrGekuIqfsIIJWHnbk/uZVk1sd/\ngH5seLAq85BtN6xu38spZVLjYfj/46r2B6Mn+wN9l773ve/xta99jWeeeWbkTTl8GB807rWPSWuM\n+1FD7kvxWnsUmTsBNI+kpOOOfz/03Yui6D1f3G/uFGzvG+abElvEWCsYJLC6KGntx9TL95SvDbd2\nXCVwvmroDgRCWAoL+11HJ6/4hus7El9DxR8rT0sBSSYpjMD3FGmh8FWBFT6y9NOMrQ/WYoqMRIRg\nDQrLQPh40ikEDhUfhSnIEYg8m85SJQNsfQ4SRzkTQYjMY2SWQLU56vfK0hx56pGR/ZapzxMsLYDy\nMHs7biKQBrm/zVCqwDt5Gl8b7N426c5e+dkjBCfWqZ5dgzQh23YU9Pj61mhIWXucra994mlaP3iO\n9rPPE191vtmNX/042Z0tmp95mqK7j/I9kt02FJbfWX+dOBVYoNuHp5+oc/5shRde7fHya31evzxA\nK8mlNzq8/GqL7Z2Mt28kzDU1V264inyt5nP+lCbyCq7fdguA/Z5krgamSNltGU4sK6yFc2tw5ZZL\naOz3BGtNM/LHjgKJzXNqFfeaWKhZLm86tkIvcdZtvUSW99tyc8/ZgYHzJY1zST2wSAlbHT0SP0uM\nh7ECLQ3hA4iewYOB7MmYrW7neT5V3R4KKc5Wsj/sYYW8589xHMeHNb73ve/xrW99i/Pnz7O5uXlP\n+6zDxr3WEsP31HuxHuGJX0EUmVsQzo/tqULhgPKi1yEVAUYogtKqSwvDfnSS1KvhTdh8Nf14pP49\njEBktMJpsTSAVB70PVZhwO4M5dvzBG0xA6h1wUojJSntIHOraIQZgbYjQL1XVEeUbK/0rJ60zVqq\nJOwXtSkgJqVgRyyhZyjftZqgFk7399aiYoqCDbCXRGyl05Tvfu4RVmdaCyWsLFha8Xj7eg08DW93\n3fY7fZ8wKEVJy8pxKx3vZ2lROrbgRB/+8oLiRjugOSFUJpXgSrtGJZp+Rz/9iWkrMoBY+sw+LX2r\nRl7qgBOwkxKmfKdLC7IJ9e+09KKO5ZgGPvS0HqCxQDEBiOIChPJIJz4zFqg0mRIkF4LEP2hZlovp\n50kpTWKmr3th9QEV9kEm6GTygani73Y9cj+nlOFa5HgNMh0fhLXI+zqS73znOzzxxBNcuHCBv/zL\nvzzw++9///s0m00++clP8slPfpK/+Iu/uOf+/uRP/oQvfvGLI6/sIZ3z3YLsu8WsNcb99nHfMYQV\nbNRApgN8YnyZcbs1FmXKsuyBAPZhjv38pRRPw9qc4eqNYtSXXQ1hex+CQFGPDP2BA6SDVDAYZLQH\nzk+RoqAWDtU2wViJBfLcqYqH2tCOlfPNxjK0P5RYdvoe1rqKdpyBpwxSByMRilxqJ25mC0xlHjGk\nfXsOhIt0gK0vQ1oCWaUhG0CvhfVCRNf1StPeQy6uIHtOcEMqje7dISvFz3StgWjdwVYdXUs/9jTi\nlqORZzvbqIVFvMUFpz5eqZK8fRW0JlhZwm5dxbT36L/2BgDBqTPEV64DED3xGKY/oPrUo4SPnSXb\nHQt+gIUiJ9/ex2Y5+//yPLq5TNDdwQhFOsjYSC5z5lSE73vU6hqtJVrD0oKbpM6drfDam26Rc/JE\nwFvXXSXj9EaIMXB2w6PTTnj+5Ra1qruv6ysenifod2P2SkVw31ecXMzpx+76Li84+7bXrqTsdobD\nNVy/Y/E8Z9sWakteCJYbzuLtTkuUPduGJJOkhcRiCT1LUbIVqoEhtz5VJxSPr6EbD7OxOf7dqhaH\niPeqP2lY3a7VajSbTbTWo+q2G+O4deN4gnNUu3v93C3u994H+OM//mMuXLjAxz/+cS5evPgwT+E4\njgN479cjf/VXf8UzzzwzsvF6mMy6LMsOlfC/1z6mYnEdqg7YibiLVZpcR/i4zL8nCvYrJ0n85lRv\ndMNP6M3QsyORsuetMBuFdxBQS18d6KH2PeiqaZBa8XNWm5lLzAOZ1dT9FF/DJu5Y+0V1ZGulS2Da\nF5MV6pSdvDHVQw2wpxYPAOpm3VKdqVBXAsNgBrBt9wN2i+mx9nJNvTlDm9aKpTnLZnd87HpNIqXg\n5sBt34o1tciNY6iIvjsYA/C1ZUk/lVNV8lpFcnW/MtWfDbCXRVN91QBPfGS63x6cSvksjT2xCuFP\nUMF12R89AZ6HdO5J9e+8BNJ9Ux5XyFG7YGKkU/me6Ks2CIRfGdlruW0EJqyRzrCmY2+mjQHImL6P\nQghayUzrmfRG9qGj8ysUcaZGomNKOaV1YyXKn6mEHyHei/XBrFPKUEum0+kcKP4dr0fuvR65W/wi\n1iLvG8guioI/+qM/4jvf+Q4vv/wy//AP/8Arr7xy4Hu/+Zu/ycWLF7l48SJ/+qd/eqh9r6+vc/t2\nqV75ECa2u1ljHGX7dwq7chaZp/j5AF/m9BLLICnFuHz/gUHE/Y792pWMuShjMBSoUppH1qBXsruS\nXEKe0U00vrYEKiPLTVm5tlzdkgQ+NEJDmo0tufY6krQQzrZroAm0JfTFKCuaW421kBcGIT0sEEjL\nQFTQYmjpVGY8i4xYOgsuhFOjBiAdkCsPkcZYqbG+DzpA5Cl26QSyyJwvdmMe0p4D3wh0mWcVnX1Y\nWMEMHJIscoM69QiUdHPCCqbXI5yvUuw7NVK5uIaq16k/eYHkymUE4J16ZKRWLmsLNP/Np2g88zgq\n1BR7d0ivXSVaXSJ5+xrh2XXmfuPTzP37z9L+6fP0X3+LdLdPcOok7edew/QTDD6F1dDpcKr/AidW\nNFrBne2EV9/oc3sr5ckLVeYbmtUlD62h0QgJA8mpdQ+lYLlpwRRcvuZu5BAsrywqbt7o4nuSvY67\nG1IaXnojHfVxzdUsb1xJWF9WZIVgqWl57Zr7bj+VLNfNqNe6EkJ3YF3CBZivWG7uayd0lsIglVNW\nbdtdTaUUPzO4+y6FRQj1QPZd8HBAr5SSMAxpNptEUVk1OETv9ocpjlrJPsx7/9vf/jZvvPEGly5d\n4mtf+xp/+Id/+H6dznF8SOP9Wo/AuxNNvBuzrigK0jQ9VMJ/ch/3C3P6aQCkyWDxBKI6XSmsBTkD\nNQ12KjKm7R0UwBLhQUDth4qWnAbUoWfp6WkadcXPWGlkI0CbWJ+ql+Mpy63CVV5btubo7UBQMq16\nExXq5VrGVtacss0C2JdzKD19zeZrOZUZQB1qQ6eY7jne7ge0Z3y0e7nP/LycqrJa5TFXg2vtMWCr\nVt0xd3K3fT9TzNXd+GtNNwdu98ZjXVsU7PY1GePPfE9wtVUhnKlG5zpkaW76s/OPz/SqA7kOpqvR\nlNXnYHxPbQlQcm8CbJY+14MJe65hf/TAyFFleljJNkJideAEx4ZztBDYoIaZ6YUuvHCq1xqgi3/A\n53gWUAO0Eo2YmHOU8kgL5TR/huM0yomnTdDP+2m5TcleECVbUgrwvaOvuR9WAl4pNWLbDfUWJqvb\nxyD7aJXsX9Ra5H0D2T/+8Y85f/48Z8+exfM8fvd3f5dvfvObB773IBPS2toaW1uOrvteg+zD2me9\n0/b3jPo8QnuoPMEjRsmCy5tu+wcF2Pf7w+sPCl59vcPbNzO29obUXnjx9R7b+xZPu0pkt2/pxYLl\nOcmVW5ZmTSKEJc8d2C0MpKmhn0lCz9CLBY1qCeDKPh0pLbs9jTEgsOwN1KgvOytKmrEU9HPlfK9V\ngBhedx1QGCBLsJU5KHKEVNj64jiTHjVG4mi20mDUHuQFSN+DcqIQG+eQ/X2sH8Ggh9eoIfad9UcR\nx3gmxg7L7fMrRBtr2H6P9MY1wKmeRyvzkGXkO247kwtUvU7zV58huXaJ+PUXML0O3dLOSzXqtC++\nDEBy4za2sOz9xx9S++hThKdPkO+1SLZaVD7xFLq5hLp9nXx7D2MFnwnf4PL1DGug07M89XjdeYwX\nlp893+b2VsLGasCrr7fotmOiQHDxhS43bqejnrETax6tTsH5k5I72xlJallZdi/qRzcEL72RlxRx\nRS2CXr8gzaEauYWPR44xUK+AkpZL1wraZQXaGNhuS3zP/W54P+arlkogaPVdVVsKy/6gzBbLwinX\nlymX0LP08hBPHX2ieNhgd/j3p7UeVbeTJDnugeLoPdmHee9/61vf4vd///cB+OxnP8v+/j6bm5vv\ny/kcx4cz3o/1yMNg1g0T/kex/zlK0t+WSs7C5geAck0OpgTQRhEerP6FoWCP6e+GXjG1vbVQ81OW\n6skIUPdtRKQLB6iNq1BP9l3XSnHO7gQAXqpmbGZzmBkA2aJxoN94uZEfqFD7HrSLaVXsnSRiIKbP\nq5f7LC8I0mI8D1jlUYvgWmc8xkoJ+oe09CSXzJc4dnFRYyxsdiYo33OCG62AgZ0QKpOC650IL5ie\nc6rNkOXF6ft++pEmakam3OjAOa1MRI7C+JPnKUiNIJnsWS4r1H2rGC6ohv3RmRWj36dD6CAEhNVR\ntXt0/KA6XQ3H+VsP6ePDGAifgul7ZOVBfYFBptAT4ndSKrJCIifuuSnBuhXj8xnkpZ5QeW2V9kbj\n7Ofu+0U5pig4vL3nZDxs1W8hBEopPM8bOaUkSXIMsjlaT/Yvai3yvq0ab9y4walTY9XIkydPcuPG\njanvCCH44Q9/yMc//nE+//nP8/LLLx9q3+vr66ML8V6C7Aexzzpq2IV1VBbjmwGeTRgUPmn+4L1c\n9zv/n7zQZWffcHLdpx/D+VOKF17tsbqkiVM4uSx4+Y2UpXn3kIZeQZKB7ylWGwWZKa+DLdjtWJJM\nUAsNm/uKyLfUA0Nuh3/8gn4qSHMHvgojCbXBCB+tXGUzKfcnTE4sqq5ibS0JyvlFCsiH1W0hyYUu\nXRPBlv0zwhhscwlRKjPaqIpM+653O6wiVKkqGtTQZx9zSdIsxUqNCn1kFmP2Xc+1iELYuYVYWIE8\nRy4sOlr53jZUSlqY0gitCedDyFNM13mwqYX1Uc93dO5Riq6jtPtry3QuuoxZ57mXiK/fYf6//rdg\nE+KXXqfo7FJZXSALG6TdlMZgi4+eycmtol7X3NzK+NTHmmzvZuV1cCrfQ02dpGQTzDU1V65nSAEb\nKwHKxly/1efmnWL0vUc3BEXu7L3WlxVZDuQp261S3VMoPBKMdTtfbkKrlTNXc9s3I8PVrbKloRDU\nfOcnCq4n/+aeYq5aAIJqIBiUWWNjLFsdD1X24yM0vvdg4hTDzPHDnGSGxxhWt2u12vGkBiNblXf6\nmY3DvPfv9p3r168/vJM4jg99fBDXIw+S8D/SGKTEnHrK/TPtY+5C77Z3AdTVyLLPDGXcL+j546p1\nYSU1L2Wplox6qLs4ATJPWW5bJ7bVnaB310u6c9+MQdNCNWMzn8d604C6LQ4KeK0vFUT+tPCc9iR7\n2fQ57MYR8UyltJ14rCzKEUgDZz0VBoK3u2NAHZWAOimBXW4E8+WvV5ccs2+r5yPLZHKjKri8E9Kf\npZ0n4YEK+/qJiJWl6fu8vFbFD2darLQ/1RsNrtKce9MgN7OCwaTglxeAEMRGYKU7T+u587AIZ52K\nUwMfXQO/AlJOrPHKvvqZ+zGwmnwGUKdWkprpc7TSG1XCh1FYDzkjtNbPBKkZXwtZrumSYnw+WVEm\nYEp6uBDCsTKBblZ+b6Jq3k8lUkrS8jtRcHSXE3h/WsmGQH6oJVOtVu+/0YcgPghrkQd7qh4gDvMQ\nfupTn+LatWtUKhX+6Z/+iS9+8Yu8/vrr992uVqsxGAxGx3kvJjVjDFmWHdo+627bHyrm1mDvNjLp\nE/h1Qs/y9l7I09V377E5G2ma8tMXHJV4rqmZn1NgDYWBuYbETxxlxlrXl30qNCNKuUFw5UZGsxlQ\nDSy7bcl83ZIYiy1yQCOEpdVV1KoGMOz2FLXA2TdluYPGSlm2ux6rtRihJLnzcUJoz1GMrUEFEUUa\nE0qLqcwhy2tpvQDiLqKw2PoSoqyqWykR+QByg9UesqR+2yRBrGxghxZdXoDav0lRLcU+Ns7gXXsT\n64fYG7fxH3uKfHfHWVEZiWzOEW6coP/CC+767e4hPI/qpz5N99kfAVCkpRKnlPRfvYzwNNH5s0hf\nsfBbnwEswouIb96hf+kqptun8SsfYe+7/5naJ58iu32DwZVt7NoA70REoSuYfsKvVn9KevY36fVy\nWvsxP/l5C98TPP14jWpV8tzzDthfOFflrRuuL/vcmQhjBLe3Ei5dGbDfLvj4U3UuXTNUI5A25fmX\nU86fcy/oxXlNp5tSGEgSp6CqhOHapuXRM2XvW5qy0/Y5vwGtxOIJQ25cG4EUcHlTcHK5VAbN3IQV\neRmFcR7q4BI1hdVkhSQrDJ4WZEYwFz7YxPR++EXe7RjHIJsDGeIf/ehHPPvss+/4/cNes9l39vG1\nPo6HGQ9zPXLixIn3nFlnjCFNUzzPO3LC/yhjMCcfR775HMIUiEoV4v2p3zeigna3TkN0Rp/V/Izd\nbIG5rAU4L+aalxGonHjbI5QZHerUJYDlbbvKI+IafVFlCHfrdQH9Ugy1FCtdqKTcai1gPB8Y+2Z3\nZZ3Z/OzGUkE3mf5MSsluXmWe8TnsJmGZPGiNPmsnmo1Tks6uph6UGjDKw/fgerfOhTm3fVDaXw37\nio1lBKjXVzS9lqKTappzpXBoKHnzWoQRislu6IGMDlS3zp6JRu4bo+taD0AqyCdOTPtYqRH98TkV\nUlMg8RnfkxRHYW8MSxLKcxVji1PzzuIxdVwICh2h0y6F0GN9HB2ikx7pBKAeoKnexSZLqmB429yY\nEKQqgAlLKqU9rNCYfKw6n+WACFCMvdIHuQPxw1W3UhoySS/zqCv3vbzs++4minnfPd/9cr2R5JJ6\nqBETc5W1Au0FU0AdBEIFxOVwKsG7S/o/zLjbMY7nyOn1yC/rWuR9q2RvbGxw7dq10f+vXbvGyZPT\n9g31ep1Kxb12P/e5z5FlGbu7u4c+xvBBfC/opHnuXrZHsc8axlHGYBFkYQ2d9wlVjq8M3VTTje+/\n7VGOnec53V7K869neNrd+Odf7oyyeForet1kVBWVEl59M6bdd+ArjgsqoSArBPNVw15PUgklC1WD\nLbODpsjZ6zmlxrnI0ksVFd/gewIp3ZiyQmORGFuQFh6FMXjKEouIQJZ9uyU9SZqcWAZIk8OIaAwi\njcm1PyF+Vj7GvTZ2aQP67eHFQPT3YCh+Jo2reqcZ1OeQZTXA1uZQqxvIQQtT2nkRxwTL8xTF0DKs\nQr63S+2xcxCXE4If0HvtEgCVp5+m+uRZgvUK/mKD9o9/RuenF8n22+x895/pvfgqgoLFz/8G6a6b\n4LsXX0ZWmoAgHyi4fIlie5vMCNYHV3ntcky7U3Bn1/DEhRppZhnEBT/71w5KwokVl1k/uaKoR5a3\nrgz4+YttGjXFfttNbr1EsDSnOLehefXNlCiEzT3XItDvZVy5mTNXWn6cXoFXLueEPux2BScWDO1S\n+VRIaATjCvdSw7LXgch3wnjNimF/MH6dpLlkmBiOPNjsKCp+4QB97pHmlmrwYC+vX9SkdhwHfSk/\n+2u/xh//h/8w+pmNw7z3Z79z/fp1NjY2Ht5JHMeHPh7memR5eZmdnR3gvQHZ4BLkUsqHxqgbhtUB\n2fJZAKTNscG46musoB5ktP0xZOzbiEAXLNZSklJlu1OqgHvScguXhJ6kXtdrZeJ+guo7X8m4lS+O\nqLvDGOgaSk4XHE4s5AQzFWqLZM9M90vvJiFyhvLeTjzWFgX7E4reRvkoJbjeHwuYDf2kZeiV5w5z\n5a83VhV7fc1O38cvBdM8T3B5L2K3NwPUwuiACNMjpwLOnJ6uMnu+xK/OsAS8gGKmQp1aecCLOkO5\n3mg5LThmKanc5b6GUZRtdIWc6F0uK8eTgLpvFXjhVFUwZ6ZfG5zS94xKvBCSgunPrNDExfTzmxmP\nXuZNbCdIC0UvHVO3h+vL3ChUyWoclOtUi0BqH6XUyBoWwEr/QEI4tx6DbOb5ygOGtPjQfzCQ/X4n\n/Y+1YcbxQViLvG8g+5lnnuHSpUtcuXKFNE35+te/zhe+8IWp72xubo4eoB//+MdYa1lYOCjgMBtC\nCLTWIzGAd/sQDqlZh1HufKfxHHYMWZaRV1fwhMW3AwKV4SvLazcfbDK927GLoiBJEl64ZFhflqwt\nwL++0sf3BLe2C6IAtndS9lo5d/YtgQe3tlKqoaA7EKwvWK7cMiw0BJXAUpQZVykEm7uWtJAIDLvd\ngEbFgoWklIfU0nCn7SEEaGkdRUc4yyinTO36Tfq5QovC9fEMbbaUT2FB5AmmOgdZAtZi/dAJlSV9\nbLWJSHpYqUsetVMgN0ojPQ1SQ2cXVk8jWm7hU7T3UIuLiNJj1EofP9SIatPt3wvwqgGytY2N3XfE\nyjrB8jxm8wbxdUcx8U+eRTfqND/zcaSwDF57ETsYTNl52WL8/ASnTrD7H3/I4KU3qX3kCfyNNcwg\nIXr8AtHZNSpPPklOSNaN8bIB/82Zm3T6sDDncelKwmc/PU+rnVMUliQ1zDU9Xnily5VrAzbWQvba\nLjHkl+h2edGplW5tdej03T07sxHhax5Nm8IAACAASURBVFiu5bx1q7RSywTri4zu6/qyolmx3NpK\naPXKRYRWvHlDjARJrMnY6wkW6xYlLf2B88wWGASOrWBK4o6xEpDUAkPoS+JcYC1E/i8vyD6uZN89\njFX3/JmNw7z3v/CFL/B3f/d3gMtGz83Nsbp60Kv1OI7jvYqHuR5RSmGMeU+8sodta9baB0r4wxF6\nskvf7fTEY1jlIUyOqY3Pt0MdJS0L1ZSsBHpDerevDLdKyncqxwCyVqpeS38aUN8uFkmL6XMZqApa\nT4/zxELOrIZagWTPTPd776URXjRN+e6mHmtLgjv98edGaKQS3IrHgHrY91ytj0HnUJTsxIpms+Oz\n1/eIgqFQrOBap8LODKCO6iH5jP/y6Q2PC49Nq48rJVCVaQE5q3yKYPYzj8EMoLbaJxdqSkAsMWIk\nLFae0GiezpS7eGbSd7oksE72RyfW+VvnE5DAIsjD6bEDI2/0yUiKWS9qTXfGJiu3Q/A8PkZiPAqr\nkCXgt6Pjl9VxIJ+oPg+V1Sdp4v1UlmuMcfQzTVpM359u5h145jKrkQICT6LkL/d6ZPIYD7td7oMS\nH4S1yPtGF9da85WvfIXf/u3fpigK/uAP/oAnn3ySr371qwB86Utf4hvf+AZ/8zd/g9aaSqXCP/7j\nPx56/8vLy2xtbbG6uvquQHaWZRRFgVIPJoIAh5/UhjYcUb2B6Eb4RUKgUnzPYy/W3GnnLB98xx0p\nhkIpnufx7HN7vPZ6j48/3QByTm/4dBNYnoM3bxScPuGx34fHTsFr1wwXzngMCouwBlD4nsTabETV\nsdYJnvmhYLlesNXRnFzM8T2wRkEBaW5ICkmeW5QUJLml6hviXBOWnsouU5kjbU7fRFTpYSmzqtZA\nlpAEDaIiA6XJceJqAijCOqrXAulhF9bG4meNZeTeLUxYA+0hggCbJW5yqlfxBvvEbUcXUL6C7RZ5\n6Cap4LGnSF+6iJWK7PrbyOYcfq1C/PabiMUV8tcuu/tcr+P7BfmNt+nvuKp6cOYc7Z++BkD06CO0\nf+7+baXEZAU2c0C4c/EVmv/u0yhf0vnRTwgfOYWwHWpPPM7A+uRxzscaL/LWufMkScHqkuInz+1R\niRQfe6rOzl7K9dsuASAFtHruWjYbmu29nKceDdBK8PMXW1QiyfVNl/SoRAq/k6C0E6Rz6xLLW1cH\nnDwRAoJqJLixlbLYVGz3YK5quXo7RwjX77RQNcRl35OWOUpKQJClUI8smy0PKQyDFCqBIC2lVz1p\n2O761CND6D34JDE74TyMMMaM+h6PM8fjMEfMyx7mvf/5z3+eb3/725w/f55qtcrf/u3fPoyhH8dx\njOJhrkcm301SSoriwVu/hq4Gnue9L+sRYwzR0gnM6llE2oUixUqFMAWJrFADAm24ZlY5q244a03c\nnFatShiA0BpwLVoLlZTbnSXszNBtVEPPjGljIaedToPU1Ch2izkW2R59tpdERLXp73Vzn5Nrgts3\nI9ZqjmmWlcvbO2md5YqbK70yAT035wTIpBgD6uUFxbW3Q2pBPpJfAdiKK/gknJ443txiSGuG1LCx\n5iFUFVuko8+kFFi/CoMxPR0vIFEhwQS9W3gBfSNpCunWPLi+6sIK12+dOCeTrASTNqhBfw87oeAd\nC48IB9iHMdxnLvWIzl0gwK+QGjFeLwlBFjWHt3J8/VUExTStspsFBIzPUSnNXqxZ8CcEg3HtYcr3\nKMq2vjjXUCp92yJBSjXSczEyAJODnBh7rghw9PFh9FJNw9PYbILCXgQHBFQHmcJT08+XlIrAsyTZ\nOOmVFoqKp6k8IKsO3j9m3bHw6sG4W+/1O8Uvai3yvoFscJSrz33uc1OffelLXxr9+8tf/jJf/vKX\nH2jfQ2/KtbW1B84cD60xfN9/VxPjYSa1AzYccyuovVv4OiPUBUp7vHTN498/nR352MPznxRu297N\nefaie1H3yxafWkWwvZsg5iPAMNfwaNYtaQYgCENJ1s2ctRROSfrNG4aNNY9KYLlyW7DYcO/4fAik\nNNzelazOG5S0dBIfJQ2FtQwSgVYCRU4rCVitJQgrRwJeVijiQhKRIvwIkw7QEmzUHCmW41cg7iCU\nxtYWRhMSWkPcARVipYQgLPepEetnx9c9bODHbUxQg8EO4uQ57G0nbFC0WnjnHkeUdmFiYRXRu0m0\nPE98031H1OZcX/ZHn6b3ykvYeIB65HHszX91B1ARwcl1wtPrCC+gIcEkKd76CdLtFnP/7tMMrtwk\nPL1G+0fPAdD8N5+i9+KL1J54lPiVV5EbJ0nra9S7t7jT3kJWGly7EXPh0RqvvdHlhZc7XDhXQQjB\nqfWAel0zSARz9YAo0lx8qcfmJqyvO6rYmY2Aq5twbkNx6UqfTtewtBgAllOrmuu3ErQW7HQEUlj2\n9lP22pL1ZYXoW+arBW9taVbmXL/+7l6GKsVXPK14/abkkZUM0ATK0C48FqoZnoLbLUmjVHPNjCLO\nJfMyp/YuJ7WHPeHMHuM4c+ziKJPaMO733gf4yle+8q7GdRzHcdR4mOuRWq1Gu92mWq0+cJJumIR/\ntxTxw6xHRgn/KHJriBMXUFcuImxBUV9Et7ZKYOtQWKWmYQCpVaPPFqoZt7uLMFMRNFENyfR6ar6a\njgSqhjEoPLbzJgsTgHo/jajUpzVx+kXARhNu3KiwUXfJ7aykCu8VNdbK/t5JRleegZbQLBnlcw3J\n1asVFqKEamM83rapEHf7nJwoXi2v+Gzdnl5TLi8ollcWpvulKVW1+2MAivLoy4ApgrX2iY0gUBoK\nd+2M9MCW9O7SXnSo4D3sjUbpkRJ3jEcVEBP90SmKUOopobKh+ndqZkCorsDMuzwVITANqPuphy+S\n0fMjhKCfaiqhpijH7sTEXOW5KPuthwJnBR6QORGyEhj3M00okylbrW6qqUlGDAn3PY/QF1MV6bRQ\nFP4MDd0KUhMyaiYHlBgy6Cas76ws/zu+l91UoqRm6Zd8PTLLrDtei7g4atL/F7EW+S8mNTL0ppTy\nwZS5Z60x3ovq1Tvt4642HNU5lJD4NsbXhkAXZEby6rWj/zFNKqMP/xi//6MuxsLygsfmTsH5k3Dl\nWsp+uxiJmylheOG1/qhPG2O4ciOnMxAEHly5VdCouB7chWru1KUjaITF6DjGOEp4UgiqviXOFY3Q\noJUiLOnBbkKUYAtiE2BsAdYyMJ7LPlpLXspeKCwDFaDKSdrqoY92TuFHI/EzlIfA9WuzdAqRlZOf\nkIi4hS2TJqo5hywyrF+BqIoOfchTrNLYPEPHe+Qtl3W2fkR0ch2wFKX6eNGPqT3+KCLLsKXYXl5m\nLcInHgMTQ7JNvnOT/f/8YwaX3iLd2qbz81fp/fxlWj96Dm++RtEZUP3I4wC0fvAclccep3fpLYIT\nj2L6KUWrQ5EV/Hcbr7K1Z1hZ8nnz7YRPfLTJR56o8frlPtdvxrz2Ro9Llwf864stXrnU5c2rMdbC\nudMVtvfcJKg9zbkNQZYVdLoGIVxf9okliTGGfmw5uephreDUsuXGtrv/7QGs1FMG5Zphri6o6Azf\nFxRGOJuVPUf5L/BohDlx5p75yCvIC0kjdMAs8ix3OuXEawzV8MFfPb8IuvjxpObCWHnPn+M4juOY\ntvF6kLVEnuekaUoURQ+8phnG/cZwV9/t+bWx0nS5Rokm/JkXqymbxSL+DP4vwjpaTAPqhWqK502/\nP3t5wJ182jO7lYXUG9M77BufhYad8pweAsa2HfcrDwH16rIizd3vh4C6VhW8tVelkyhqlYkKqIy4\n050+3vqax8BMf9asKy48fdAL3Mz0SyMVPWYuiBc466vJnmjhqs+ZHtOuhx7To97msq8ayt5oIUf2\nWQB5WY0u5PTxTFAb7WsYsYoO2GSlYpreDZAUGimnaba9XCEnKuNDVe9i0jO7pOZO9lvH2VCYzJvY\nzo1hUDh/62KC0psVEqW8kXhZeRGw6qCKdpxPn7MQHOi11lpP9XqDo5XvDcbf87Rbx+wPNFHw4HPX\nw+7JHq7nRz3qx3oxo/ggrEV+eUbyLmNYyR7GUSalWWuM99rbcjKste9sw1GbxysGhCIl0AW+trxx\nWzFIDj+W4bHTNMVaW/aHSb77z22adcXZUwGyGNDpGvY7hlpVcvNOwWOnJS9eitEKtvYtp1bg5Tcz\nGlVBuy9Yny/o9GFxTrLcKMpqN3jacvkWFFbga8vmvnI2XQbKdmYCbdnsaJQwaGmwZV+NNYbWQFEU\nFk9L4kIRSNeXPbyCVru+bFVkI79scP1KpsgR6QAb1p1aJkAaY0UOfZcNFkoircX02piFNWRJ5TKF\nwds4PeoBsvVF/GYNrKXYugmA8jXs3MJWnD2JqDdRNsHcvu5oWoAIIkynS+MTT+HXQpIrb7ptF9dH\nyprBhQvk2w6ky0pEemef7vOv0r34KvVPfITKUxcQnqT+sSdJbl6m/sgGSeFRxDlnkqs8daFGZiQf\nebxKq51xczPhI4/X8DQ8+XidnT13M556rE6r444ZVTT1quTJc5o3r/R48dUuYeietzMbActNwbVr\nXTZ33bPlB4rTy4a0pFLN1QS1SPD6FUO7766RIOfyTWiUwjUr9ZzOQBL5hjQX3NmXI4s3gWWrrQlU\nBrhWAYtEK4MUguq7mNR+EcJnx5Oai6NaeB3HcXwYY21tjdu3bz/QWmKooTIEve/FeuRICX8AIbFL\njiCtipSi0jywbeLXy/f7OBZqGWrGSqudBWxlcwc+qzcdZXsYAxMwV4er7XFvclEulietvfxy7lhb\nUQxKUFavlsndUHB5v0Z3BlAXXsR2bxp0bax6dGYAWxRKLjy1xGwUB8S+JF2jRlRtwAmVTVhfwbgX\nupjwp85LQa5UjYFuWp5nbAQoPdVX7ey0qqM1x2g/XjTa1zAS6U/1VQMkVh+Yv6zwUTO+4nEusXIS\nUCusFSQTdmOmJL92J2j9ycg6y/VbSzkWIcuMA892ijQrEconnumZzggxMxZfsTmYDNiPp9fNnhLs\nxd7UrUiNpJt6DO3DBZZOLElyhVc+n6oExloKfH2wh/ew8bDXI3ezLD1ej7j4IKxF/osB2UPbjOHD\neGh177LiO2mN8V56W84eazAYvKPvtmgsIW2OT0KgndWRVIJ/eeXwt2lIF8/zfJQw+JfnevjasLc3\n4PLVAfttw/y8e3md3gh5ZE38/+y9eYxdaXre9/uWs9y99oUsks3m0gt7uqdn5NGModgzRkY2oEBS\nrEmCOHakRHECJ4EiGYEkxIb/spGxnNiyYyNIYiSeRAmCxDZiwVYUj2xZsmVbGk3vG9nNbjbJLhar\nWKy6+z3L93354zvnLlUkm+wmW9PteoELkof3nnvOufee733e93mfh14vJ8vh+FrIXF1gUq8Evbqk\nOb5oSdNiEYsE27dyRHGD6g8cxgr6iaQZGUaZpFl3xNpR1hBy4z2ynbMgFLnxgmgZMdXQg8Kyaqsw\nDFwFVVDQSq9FkacMVYwowPS4Vp70fQKQDnBC4epznhI07OJay4jeLhYQvTa6EkOn8MMOQ1R3G5f6\nSoCam0d2dnGNRTCG4MkL2Ot+9toMR8haner5s9hbvpAzKvz1qhcuoPIO+bV3MaOJpdjg4hV/fFqT\nXN0i2lgjXF+m8dzTpDd2Jt8Jk2P2O7g0o/vdVwlXT9F/4UWC/i5JJhH9NvO7rzDXkLz93pBAS3b3\nMl672OPM6RomtzzzRI2zj8UIKTh/Oua5p6qMRhn7e0OckwyGFq0FH2wbpIT5huCNS12WFoKxIJrE\n8eqlEUHhjbI8L3jvasLinGCQSppVy/tbRSfawEItJy3YYosNR6wNCMcoE2hpudX3C7OUgoo2ZIVa\nfyOyZHay+H2UOKoc/96FRd7zcRRHcRQTr+wyD7hvC60C9IZhOAa9D0uh/G75yN18t93SSVzJUKvU\n/czsVCw2zUTRuoh2GrGVzgLqbhbTnAtmAHXiQubqcHUKUNtytlhOAGnROOXYiqKfloC6VIMWXGnX\n6aeSZn1y75GVmN3BbH61sa7ZT2dBZRgKnvrcyqHzTtQBpTUh6Fs9e65BhBMSpsTKylno6Q61KUDw\ntIBZqeCd49W70eGE1FwImE3PVYMH5Lmc/YwGTo0p5WVYGaD0gdxSBmOF7vH+rCZzk/cYq3pn09sK\nQJ1M9ImyQoSs7DwD40KHt8QKEQeO0xCSmAPg2YRTr/OR2MNWuf1EzUwfKAndNJqxcDPWF2OCKZ/x\nflL+dvyfgZbjhkpWJI+FNi+NwzpuDxSfFMiejqN8xMenIRf53jmSjxnTnewHUdMcjUZ3tcZ4mNXj\nUrnznr7bQqKiGoEbEcqESBu0Eux0JG++f3/HYozBOUcYhkXBQfNLf3eLza2EUxsxu/sGIWBr17K2\npLG54bWLfWo1f/7zTcXu7mDsCVmNJZeveE9rgCyz7PUcg1Sw1DDc2JO0qo5AOQZJSRV2XL8l0QpC\n5cZ+yUII9geK3ApCDXtDL34W6Im6ZG6cr3AaP5ftTO4Vv3XoF+k8hbgBJvM380qT8aRoEIFNoFig\nXL2FcA4bVBCrJ3ySMOyBDlBD7zNp928jV46P6eVOBeiNx1A2hzzDAfmtHSob69iCNy0WljF7+zS+\n8DwuGUGaIio1Bm95O6/49Dni46s0vvIcjd//eVz7FrZ9C10P6LzwKvHjx5j7175A6w98H4NL75Js\n3qTzwlvUPv8cnd95mejEWWRqcIMBNnd8pf42m9s566sR711PeO6ZFsfXQja3El6/2OPVN7vEseLl\nV9u88VaHPHe8894QY6Dd85/JmVNVqhXPQri6meIcLMz7z/ypxyQvX/TFi9tdQaMKaWpJMlicUwTa\nEUnDKPMz26mVfLCdkxQ5V6gdV7YV8/Xi89dpQRezWARbnQhVfn9yA86MmRYfJX4vKsdH4cM5cc/H\nURzFUXiQXRb97zfuVPCHjw+y73QMH1bwB7x9U2vN78MZULOAej+JuJHMAupeHtOam+1Q5yKgVXNc\n700stkr6cqInXd/yMI+tCLoFSGp5c23CgDsC6rAesTuYzaeOryr2ktkOqFKCp549DKgzXT20bUQA\nU11jJwNvE3QHQD0NyGcAdaGgXYJgU3SjkQo71WUzYXWGBg4wFOGMvRbA0Mpi/n0SQirEATCO0DNU\nbgDjAhJ7wNs6E3SSyXvI4nyTXHpfasBQKn5PlL5HUyJkRgTFcyfnMzIB9oANWzfVDNMDXWurD6l5\nZ0YRHmBBdBONnqrIl3nEdNEgLYR4R8VYmxQwKOa/e8X3yE1BnV7qz2VQFG0imYwFBj9KPGoh1iOn\nk7vHpyEX+cyA7LJyDPe3KJWgFw57YT9oN/xOcfD1aZpirf1QGw7RWCQyCaHMiQNLFPqK7e9ehP3u\nvcXYrLWk6UR0Q2vNr/z6bbZv+Q5rWPgAnjldYWVOcPNmj/eu++fv9xyLc5LdvZR215Lkfg5793bK\nKIX+SLDScly96YhDGCQCkxmMFczVHVgznrlOMsitxFjQwjHMIFYG6xS1yLesPVVHooVhlIdI4bdn\nsuJBtcnp5wHOGiSOkYopx7pMWCmuMZi4PqGWVxqI8povHR/PYYswRuZDCIqS5bHHEckApyPcoI+O\nNfa2t92yeU4g8gk1a36F+Pg63N4i2/HPka1FGk+fw1y/zOjKe/5aHzuBs5bG88+iGzHZjcuk77xB\nfmN3/HnI1iIuSUmu3aB38TLDt94jPrFB7cJ5sJb9f/pdGl/+Enl3SFCtkiQSkxjm05s8d8ax23ac\nPF4hzx1RrFhd8ovp/Jzm3ff9fHgUSd7f9N/rx05UuLGTMddUNKqw+YEH4Lttf637ieD0mgfUAGvL\nnmWQJwm3CjFUqSStKEcX6p0r8wKXGdJM0Es0gbLcaheid8pRD1NsUbVvVSy5EeTG24RF2pG7mPmq\nT/Da7TbD4fCBhQofNci+06J2pOzpwyDv+TiKoziKCV0c7j8fuVvB/0G74XeK6WO4r4J/eVzLp/yf\nQTwemypjaKNDgFqGmmYNbkx5Tqug7FBPAG2Jm46vSNoF/XeuWdB3teBqx1O+G7XJPaXWig8B6mMr\nmr10FkBKKXjyDoA61YdblgMnZ+al0RFI6YVRy2tQ0Kqn/alt0dUe07uZzFU7gLg+M1cNkKr40Az1\n0OlD2zInSA4AZSEl9qAXtdSk9iCgVjNUbvDq3INMjtdMqRQO6YFIAVanLY9s8d5JPtk2MgFSSrKp\njnQ3Odwh76eqUBGfhHViPMs9dfCz4wnAIJNjYA+eBp5ZOTNvXc7adqYo44PifNtJ5InCwlFCm26q\nUJIZ8bRRrogCSWL8Ppox9Pt9Op0Oo9HoI+UjjzI/OALZd49PQy7yvXMkHzOWl5fZ3fWA5n7VNO/l\nhf0wQXaWZeR5PlbuvOfrgggRBIQuIdA5ofYzSFEk+X//pSXL7z5bNRwOZxbo/Y7hd1/c54nHIy6c\nC4lCxcaqQgvHK290OLVRJUkdywuaQAtGvRGb24YwgJ19x1LTsLnrqFe82FmeZSQZrMxLluo5qgBe\ngYJrOxKEoB5Z+iPvm20d7PU8lacSObY6mkg7Qj2hhwsh2B8F3jJJSVLjwZoMYmRxE7ZSkzuQLsdV\nmojyJljOZZsMF1bGSuMiz3FKYhPfnRVRFWlzrHXQXCxuwmArDfRjZ/y+hn2cc2gtEUkf0/eqpcHq\nGty8CrUm+c5NRKWCUg6zeRW1uoHt94tjCWleOIvdvsbgjTcBCDdOMnzbg/BwfY3eC6+PP5vo5Abp\n9i79Ny/Te+kirR/4flpf+Tztf/bbqHpM8v776ECSdIbYoeEL+Xd58kzMMDFkmeXdK0Pefm/A8bWI\nJx6vszAfEIWC849XGQwtK4sBa8shZzY0g17CK28NyA0sLvqEYr4lweS8drE/pm0tz2tCkSIE9Ee+\nPi2xvHMt94rtQDW0XNuB1QWBdYJ6mNNNShYC7LQlqrDOiAPHVjugVbVYJ0hzwSCFpaak2WxSr9ex\n1tJut+l2u/fd3f4kKsdHi9id46iTfRRH8eFRdrJh1vHjTnGvgn/5+o8b0/nI/Rb8AWgsYuM6Vofk\nCKbvzvPzHlDfTCaAOilEx/piAmh10Z08tuLXeoC5ll/blRJc79XpHgDUjfnoEOV7dUmxnx+gcgNP\n3InyrQ8/b2gldrprrAMcYmZemoJqPZzyuy671rnUkw52qdY91eGeVvBOZDQzVw0wdArCWaBvECR3\nAP+5OOw7PTCzgNqi6Saz89YjozyVW09GHz0wllB03cUUMM6F35ZMTQJ0C9A6bZ3VSxXi4Ey4lXeY\nmRbkB8TflBQz4BkgNZL+lI+2AHqJZH8wta3odO8PJ5TxspM+yPxstVaMqejGSYJAzaiWgy8ulMyI\nMkqALYVjvhnRbDapVqvkeU673abX65Hn+X0Vxx51HI2r3T0+DbnIZwZkl4rg5RfyXl/+0q7ibgAb\nHh7InlYJvd8fioobhHZEJHOi0HqWlpD0U8X/+Q8TDxanoqyCl97eQRCQpil/6W9c5jsvtXnjYg+L\n4uXXO9zcSXjvWuEZGSiEgI21gCtXuizMBxgLG2shxxYsaeoFzNaWA5pRRljMvNRiuHTVoLWnD3c8\nHmWUCZwx9BJBswomt1SLzrUUXvhKSVfMZ/vXDDMviGasK+weIJKGPhVCWby27FznKQMZ4Yq5bFtQ\nskQ6wtQXvLI44MIYYXNUOsTVWojCVoJkhGzN40rVtqji57ILoRJ1+knE7iYOMDdvEJx5AkbFyTUX\nEVFE9fQpsqseOJcLbu3ZZ8muvEW+eRV1/BSuYBPIyCcfqlGncu4Mc195jrkf+CLzf+gruN4QUdhg\nhSfX6b16kdGVm1SfPIeeX2LpR3+Y5kITk2RkqeFk9h5vX0lo1oIxZVwIWJwP+Jcv7HPt+hAlHVeu\nDUmHKYN+wu++0uHNt/ucPlklLVS/d/cdp9Y164uSy++PqFUlW7esZycMcq5t5SwVNPJTq/DG5Rwp\nYK8nWGlZ+sWlbFS9N3qS+RtdpC3WOvqJIs0lSlpGxRx/PXbUIkdmyxECQ57nCCGoVqvMzc0RBMF9\nd7cfdeX4yL7r7nGkLn4UR/HhMc2s+zB18BL0fhL5yIMU/MtwSyexUoO1M93sWrWY2bUTkFgvgPLx\nFcHeqFgfK4XQlBJc61bpjNR4G0BrPmT3gCjZ8oKiYw9Tuc8/fQdALSMO2VFZ6enZZSiNQ5BNC5gV\ngNvPSxez5wVAy51X7wZmxMXKDve0uNgAfQhQj6zABgfAsxCkwWG17MwdBNSKXnaQYaAZZmpG/Tuz\naobKDRMQmhfz1mLq+YNC5G0a8PYKkJ65yfXPjBcmsxbM5ibpb/wj8m//ffpXJ9Zqk2OY/dwCJQ51\n0p3Q7A0Od7zbQ0nB/ibQPj9MjBxTxnM7oXqXlPHOaHI+DjUWL5scuyLJZ7f10oD0wEx42dmuRWBN\nPu4W12o1Wq0WSil6vd6Hdrc/idGyo0723ePTkIt87xzJx4yDIkV3+1GUoHfGruIu+/u4i5q1dkYl\n9H5D1ZoolxPJnFh7GnYQCJQSdEeSv/3twdiXuqyCCyGQUiKlJI5j/t7/1+HF13yXdXU54OJlTyc+\ne7pGkjriyFOZ1uYdt/dzcgNRoT5dr8Brl4bUizntSFvefj9DBxIpodv3omhJ7md8OwNBFDgi7Rim\nHnTFgWFzT1OJBJXAkhn/+Qhgu6tIcy+O1h5pqqEh0GpSfZKakVEol3uAXXaogwgrFDJPMUHFg23n\nAIfNc0h6OKkgG+IAMejgmgvQL7jPUYwcdfy/hUAW01E2t4jWArJQ03CNBWSjierfxmzfAIqCwdnH\n/f8XIDrduUXjC8/7haLc1i4623GMCBSN588RLIa0f+t36L7wCp3vvsTo3U0Gb72LEILWD3yRyslj\n5Lf2qH3pWc586y/z+H/75zjx0/8Z53/hzzP4Iz9OagKCfod//bEP2NrNeexEhTffGfCl5+fGyuIA\npzZiuj1PkT91skZesB76I//nR52IoQAAIABJREFU6Y2IZtXx5qU23aJ2cOp4RDUWNOOMK5uln7Vk\nfRGcszhgbUkSKLi5nXC7W1DOpODd6/nYiqtZybi2G1AtbNsq2o5pY8JlbO0paqFlrmLHirmlQJ8x\nhjAM79jdPjgr9UlUjg8uap/Ee35a4mGqi9++fZuvf/3rnD9/nh/8wR9kf3//0HOuXbvG1772NS5c\nuMAzzzzDX/trf+1hncpRHMUji3q9zrCweLxXLlGC3nsB7A/bx/2EEGJs1fUgABvAzh/HFTPCdqpD\nXGZYx1cEe8MQ56Ba/LeUgn1b9/ZI8eS9FpejQyrfi/OKUVDnYJx7evnQtkRF43nnMlInvb90GdL7\nSU8LkLkCPCciGL++PCeDGL9+GlDnBUjOprpiQ7QXKps6hhxVAP2pEIJEHwbUB+ndQkj2k+DAuKKe\n6UYD5K485sOAelhYZyk1yaE6Y3bZ5DhHmUKpWRDqEAgVMxpZ8u1thn/n/6Lzn/xJLn3p36Dz73wD\n89//1/CP/h/Mt/4G/b/51xH/x38HhVisFBz6LIWUdEZ6DJ7B54mZlYSB36hkabk1RRmfvp4FLX8w\nRRMfFp3rafDUGemxfVgZe0NNN5n9fji0t4adis5QEmlHM56MgpX5iHOOOI7vq7v9qEVYYbaTfZSL\nzManIRc5LCn5KY5ms0mn06Fer2PM4fnl0hrjkF3FHeLjLmplF/t+3usOb44MQ0I3IlAxoYY4ElQr\nEmcE723BX/5be/z4j9aZqztPtda6AC+a/+F/u87f+9WbnH0sJgwlcRyQ5iMEDuscT52NiEPFi2+0\nadYVecHF2W07Hj8m2Lntr90oE2wsw+7+ZIb32JzhdlehlVd13NkzWKlZn3fsdSytmqCdgMkNECCE\nxeaQAQLLKJdUgmJOp7g3RcoyzENibcgtZE4DBuFyBtSomDY4Ryo1OIswKaa6iurexElFFtZBCoRz\nZI1Fgs42TkfQWgIswuRYHSFt6rvf3T0/l73jFcJtr0OwuIgpO9xxjbCcX9vySuA6DnHX3saunvbP\nac4TNeexV9+Gdb9NVCokV67S+OLzCK1o//PvAFD93BcIVg21J88RnzyO6Y7I2136b75D3huw/5vf\n4fSf+8859af/w3ERqBTAOfa1r3B1YYX4n3+L593rXH/iDMNhzlNnKvz2C/tIAU+erRJouPSebzPX\nqmrMVthYj4hCybmTAUEAr1/q0Woort/0/LBKrMi2h4Q1z2IIA1+3eP/6gNMnfCV/riG53UmpVyV9\nI1DSsbvvbbsyKwi1RRaL5GLTEgSO7T1BHJc2HgGJUVibUdUZee6t5coOj3Nu/HuVUlKtVqlWqyRJ\nwmAwwDlHFEVEUVT8PB5t5fhIzfPuYR4iDeub3/wmX//61/nZn/1Z/uJf/It885vf5Jvf/ObMc4Ig\n4K/8lb/C5z//eXq9Hl/84hf5+te/zlNPPfXQjuMojuJRxb2YdQe9sO8VD0NhPMuy+3qvQ++tA0yl\ngR62sXnm/bOz1DPqhKf1isYce909Kq3J/SGuarqdkGn4Od9UbKXNQ+/x2LlF3KAzsy2REaFUYCe5\nXOokYVyHYfFcqTzlWlWI6PltQTFDbSWt4vWlMrdD+HnpYYdcaEr+e6oqhPRmPKYHTtFUwYzHtEFg\n4uakwlBuj5qQz9qZDU2AIp3ZtjfSLEYKW5yTVBqX+m60KRh3pXBY5iIkfp8TmyxNTXpwXs5H91NF\nHMnxfDUUs8tCjdmB4+0ior8/IH/tddzODczrL/PeCy/hCDH7XewgxfZG1L/4OFW1h9h5D5bXkL//\nS3DxFcQHb+GyBPPHfgpdiUmNIgzk2PqztO6a/qqW4mOZ9WKoagqB91JNKMxMp3l/qJmLMnqJmNqm\nWG/O5vSDTM2AefAAXuBmZuFzKwiVG6uKC3xzpxJkRDLDGDVmgTrn8+lyZKzsbpfNrF6vhxBinI98\nElRua+0hIcSjfMTHw8pHHmUu8pkC2aurq9y8eZNGo3FoQZq2xriTXcXB+DiLWgmw76Zafl8RNwiG\nPSKZE2rjZ4WlxOGpVoOB5n/6v/dYahieOV+hXs14/3rKC692efvdHtbCO1dGPPNknRde8Z3cC082\neO1NvxCdPuUB1KkTVd6+Zji+GhDJjCvXMpyOiUKBdbC1NUAGFaoxRBo2dzKsUhxbEpg8p1kV7I8g\n0JYbe4qFpqMZp+SF1YMQjq19v70WWra7iuW6IdRgrAD8Tao9CqjUUwKtMNb5u7RQJLkgtgYZxuRZ\nQiCKRbIciQoiSAYIJ7EqmFLulLi4SknWEAuriO2r2LgBcRUhHS4d4aRC1lrI/s7YaltGEexcwy5u\nABA88QzZxdcAyPf2QAdUz55l8MJ3cAiS998HQJ14jFq9Q3rpdfTGGeqff46Vf+vfZP4PfRV5F4EZ\nm+d0fvc15r78ef9ehbJs2XVYqQ94c/Exel/4w7Re/TYftPeotepcujzk2QtNXnm9w+bWCKUlzjo2\n1iOOr8fcbhtGQ2jWJW9c7KC1oNHybYbHTlR5+5rl/CnNG5f6DBPH8WMVwHFyTXHtA69Mvr3vL3OS\nGLZuOZ5+PKC/DycWDVd2fHW4M5RUVEpSUNHiAG7swULDMcigVTFstUsKnqZVTRgO/YUOw5AgCMZJ\n38EFLgxDwjAcM0La7fbMYvioFprpRe2ocjwbD3PW6Zd/+Zf5jd/4DQB+/Md/nK9+9auHFra1tTXW\n1rzCcb1e56mnnmJzc/MIZB/F93QIIVBKjcdiDjLrDnph38/+Po76cZ7nKKUevOBfhKnMoYeeAWYr\nLSSdGYZ2VNMoWWEaBs01Ff1gnoOIdP3kAm7Qntk2sJrKIUAtCKI6YliqcEoMgpGMGPfTC1GykRVE\nKgCTjbvWCIGN6shhe0YtvHz9NKAeWkGoQw/OivNyCEyldQhQJ6oCdhY8J3YCiMvoJpq5UI6ZeEpp\nyAovajss3qNQJDcBIX5dLNWyu4mmVaSqpUNLahTNIJihpoMAGY09xcvIXDTel3MO+91/wc4/+zZ2\nNIQ0xVz/AKKI+tkV1O4NmNfYE0+QDw3hrSt+v2eepNK7idy8SP/MM6ikT+Xaq5hf/h/J/+2f8u9j\nPHiGiZ1XP4+oqARdiJcB3B5oFqIMd6AbvVZP2J+igadGFjn6dMddMsxmc2kp3JhSPnmiHeeeZfRG\nEq1KQTSohLA3kHRGEbUood8fjUUA75aPlAzRKIowxjAajRgOh4fGVB9FHM1k3z0eVj7yKHORzxTI\nLuegzp07d4hieidrjHvFh4mV3C2mVUI/Fr1LabTWhCYnDgxh4CuGOhAgFFFk2NoWbN3MuXajyxsX\ne5w5GfHGxS61quTCE1V6fcPb73pesFKCvUJV+vh6xPUt38kcpo6zJ71N05vvJjx1rsr7N2FjVXPz\nZp/lhYCdLqwuKj64MWJ9RbPdhUrouLzpeOq0puocZRM4M45OTxBXFIGy9IaSVtUvWKEGUkmk86Kj\n7Y9nUNCKrbUkNkIz8pZgLiJWFixYFUGWoLEkQR3tisU4iCAdIp0jqy2gigUtl5og7eJE4EXRSoqY\nkIjl45MLXZ9H9/a80nh7E3nsMVx7x89lJyn6+Klxx50oJtvaovbkefJe11/XlXXMG5eInnwKlzuS\nD64RnjrF2n/8J2l9+fs/9HOWWo8B9nQopahUKsRxTKti6Gw8R337TX60+jr/y7tf4PSJKq9fGvDc\nhQa9fsblK36BHg4NL77aJc0craYeK3+ff7zGO9eyYt+SY4uG0ShnmPj1+uYebKxIhHMMRo4zJwJu\n9eDkysQfO3eSY/OGtBC3WZ5z1KsZVzahOee3DTNHb6RYm7ekxo2lcuqRIdaOxWaAQI+LCOXvsvSF\nvVd3u1KpMBwOx/Stspr8sOlaBxe1o8rxJB7mrNPNmzdZXV0FJgXSe8WVK1d48cUX+f7v//Df1VEc\nxe91LC8vs7Ozw8rKyiGK6Wg0eiCW20cF2dN6LR/1PimE8H7OUQ2SPsY6xAEBL5wjrzYRdrbbWFts\nwmCWepkQECoNZqK2ZaQmD6ropFu8qQfUQxkxnqIuZqgTJ4l1BHky8ZMuAfVgz9tfFZdqgKZOYa9V\nbEucJA4isilAjRDkcQvs7H0+kTHYWfCcmAAlZseYBrmiFYaYvLD5lN6X2RCh8IC67FD3s5Cq8NtK\nunPZjbbWjgG1dQKlI3AGl01300PkAeTfzwMks9+PoQm9CNQ7b5D9738TkWcEg1vovr/G4YXncMMR\n4spFAOTTz1K9+Y5vejzxHIGEyvbb47UvCCWyuYi8soV89bdIzj4P53/Qg+dKBs6Ll/nz0TTqKXLK\npstYSRDIQ/7YQmpG+ezvYJAdhibT9HHwBf3drqQSTa6FsYpbPcVCPffXTzpuDQUgWJ/LycxkLZdS\nUK/GOBcdYhCW+cjdutv1eh3nHP1+nzzP6XQ643zkYecKBynpR7nIJB5WPvIoc5HPFMguvbIPWl7c\nywv7bvFRFjXn3NhCqxQf+6ghhEDGVaLBiFDFfuY5EsSRwlQlWzcdywuK/U7Me9d6nHu8xqV3+1x4\nss7rb/Xo9h0CwRNnqmzdSlhfqfLaJQ+4FxcicptzfDVgezfhnVsZJ0/6mSipJOtLEEhHt+84fSJg\nbwCBtHQHjlOholVzJIm3STBWEMqMfqIRwqGlI80lIvc+2tttzYmlHKmYzGULuNULON5KiAMYpQIt\n/Y0kzyVaevGPYSZpBSkyiLElfVsqUuMIbQZhBWdMMVedef/rPMUJMaYR2UEP5leRydCvpypAdHew\nhSiZaC1A5xamOgdxFR0r0s128do+YegwJc9oboXawjruxntkg+J44hrx5z6Hu36FpJux/Mf+PVb+\nxL9/1871R/kefN8Tin/yckznma9y6ju/ylPnKuztZzz/TIW3LvXJMsezTzfY3BqxMB+xu+8/58dO\n1nj97XIxF5xYD5mrC156vY218OyFFpBz6nhEoyF46+0uK2v+e1Ctak5VHd2+ITeSoMhbLl1JOX3S\nJzu12HH5uuPYkmBgvBDaB7dKapggDiZZTD12fkRAAAi09kUkay1Zlo3nF8vu9d2620optNZUq1VG\noxHtdpsgCIiiCK31Q1mAPok5q09rPOis09e//vWxldF0/IW/8Bdm/v1hhYxer8c3vvEN/upf/avU\n64fnN4/iKL7XosxHVldXZ+yzykT+fhh1ZXzUfKTMfaSUH6lpMHMMjUVc0gdnMVHjED3ahTXEaJby\nPbSSWGqEnQDqFImOGsjBXrFjOVbZLkG2LejdmRMQxpCOZrrRJqqh8sQ/bwyoA+rMipIZoSGs+Lnt\nqcii5mFArSpgk5ltqQtR0o7p3QAjo6kHEa6gd5cK3r5B4HO+ssPWyyJauliDi/dLckk91liTT4FL\ngZMRkoR8CoSObEB8wE+6k2pqwWwxY5SpQ3PHMs9wf/dvIf7Ft9FnnsBubkG/C0GIPnuOaOcdrBD0\nT55H1StUtt8Zd8jjVhXR705mgU+eozXcwmWS0dwSWEvr5V9l9+SXMXHT51tu1o9aCFWwFaeup9Fj\n+ngZB4XSAAapQuDG642Wjs09zVoBlMtr1k8VC3XDsChCdEeK3PqRxH7q2ZdlRzxUkBlIiucu1Aqt\nn0IsOAiCsQ1uv9+/r+52mXNEUTTubodhOM5HHkZM5yOPWvT10xYPko/8XuUinymQfezYMS5fvjwj\nElAC3QetMH2URS3LMowxVCqVh+JrKXWEVgmhzYkCW4ifeaukVkPRbhvm6pbFp+u8dbnPyeMRN3cz\nvvzFFi++0maU+JvI0kLAB1sD1pcUtZri6rUB+52cteUmN29lrK2EbN+2SAlSOq5f75OvedGOUSZY\nbeV0C3XIJBeYJKXjQoTwfpdXNy3VhqBVNVzbUSzPOUb55HYbKOgNBbWKvx69RCGwpLlDKYlx0Ixy\nBnlIrH3nGqHwkiI5QyrEboQDMqnBZIhsRBq3CIe3AXBhBWEyGPVxjWVE7zbOOZSUOJNAf9+vxTZD\nCoEd9mHlBGR+UXVIgo1TOEp7rzpBXEfsbZF3/XN0s0n+9muIhTXsztsgJFaAu/I2wePnWfmxf5fG\n7/vSR/7M7xbVUCB1SCoWMYvrNN5+h54+xStvDjlzMuLNSwNeeaPL556qs9/JeeaJGko5pBQ8c76C\nVnBta8TuXsZzzzSxFsJAcP2mIdAw14CX3uyyvhyw3/Xnr4TjpbdGPPtEhdt9WF8U3LyZIATc7gpC\n7djvC4wV1CoSlzryzOBQRIEvtly+IThZiMHmBlqVw78HKSVRFBGG4bi73el07trdzrJsLJxWzkql\naXpodvvjLEQHLbyOKseTODgD9eLv/CYvfeef3vX53/72t+/6f6urq2xtbbG2tsaNGzdYWTmsHAz+\nvvpjP/Zj/PE//sf50R/90Y924EdxFJ9wrK+vs7W1xXPPPTe+f5Vd5QcdI3tQZt3B3McYc0edmgd5\nf1dtgdRgc4yODoHsBE2loGyXkQuFjRuoA4C6BMTAeIY6dwKiqh//CieT3ImIiBj5bnQRA6dpIGYB\nNQKiGumBe1QaNkrG9mSbjA9RvnOrUcpgpjrsqVG+a24Hk+PJBVKExAW9u/SA7iaKhVDinIWCsl52\no02ezMxHp0ajyceWZ+A73I0D4LmXaA66kRkrSezs+qaVKDrlxet3buD+52/iuh2C9TX05tuYuMZw\n/RS6FhHtXAH85xodW0LevD7Z2fnPMX/7XbK4RRrGuMU1asmO755bi17ZQI26hL0dVl/4O2z+/v+A\nJNcEMp85pvZIo+Xsmt9L1aE1JDdehGz6WtzuKVZaOYPiIwq1z9FKoAwTsOzddgSBctxK/XfEi7v5\n7WV0RwopDZ2hf04Jsqdjmhb+Yd3tMl8pQXjZ3b7T7PZHzSHuhCGO8pFJTH+Xvldzkc9USaSsHENR\nXfwQL+x7xYOC7DzPZ2zBHpblRhjFhDIl0pZQ+05gFEmMU4SRZmcf3rkyZHVBcnsvoxoJ/uV32ywv\nRZza8ACrUdfc2s24fmNEHGv2OzlKwY1tvxiurVaoVSSfOxfx6ht9KrFiZ98RBSBdyuWrI7b3/L8D\nYWh3vaL4fAOu3chYmgMQtKr+xlcJBQs1M65iCuHY7vj56npo2RtI6pEjCsT4OUoIOqMALb3SeJlP\nOCQD44G1DCIvqOYAKUkRkGeFvUgOSgMOo0JfOdcRrt4ApZFZgl04hhy0sQ5cv41UAnoFlS0MvZ1X\nYY+m1jaQe1u4uIbdu4V+7Cyu7X3YXVQFIYkuXMC8/RZ6ZZW1/+K/fCQAu4yzq4I+FbLHn+aLq7tc\nu5lz+mSFS+9lXHiywZNnIt641OPaByNefbNLbgQvvrLPS6+2SXPY3cuQArZ3/UJ49rEqS3OKaphx\nddN/D5aXfLLz5EnBS2/5BKKfCOIQQuWt2o4tS4yFZpRxu1NYbTj/OejC4m2pYdm67elcg1TQjC3d\noWSpcfckTwgx7lA3Gg2UUgyHQ3q93thD1hgzFhOcVgINw5BGozEWPCyVQA8qk99PlMnwUeX4zmGt\nmHk8931/kB//U392/HiQ+OEf/mG+9a1vAfCtb33rjouWc46f/Mmf5Omnn+anf/qnH8o5HMVRfBJx\nkFk3Gk20KB51PlIW/B9mPgIC0VgEIBV6PA9dRi6U73AX4YTACsmQgDHYKQB1CYgBUJP9ZNqTw+2U\niJdXFBczPtS2UATPDgC2JKwf6m5l8jDIMWjUgePPrCRnViV8mMuxbzQUc9UIhtlkvr2cq/aSWoVi\n+ZQlVlIoig+n6M79PELKiXUYeGB48P1BkBzwx5aCsQbKZJtgr/AVV9ffIf7bfx1nLboSoPe3x8+J\nT60T9ryYqxMCffZJ5tvvopeXALBnnqZ6+z2viZJ0EE98jipdZNHJd1IRViNkax6AhUv/hLC9xf4o\nOOSPPcwkqZm97koKKgfqS8NUoKa69aF2jHI51bGeMAO6o8la3B74v+/2FOAIpxrkOx2JEo5BOgXc\n+4payFhkbfEOILuMsrtdq9Wo1+sIIej3+/R6vXHxKs99LlV2wA8qk1cqFbIsY39/f0wrf9Aou9hH\nRf87x7Qv9ud/3x/kJ/7TPzt+PEg8ylzkM5U9ToNs4L6sMe4WD7IolUIIdxIx+bjCSUEcEypDoHKU\nMoSRIAgV1VjinODU8YiV1Srv38iZawXs9xyPP1bl+o2EzZsJzz/bGh/D2krEW+946tITZ+vstQ1z\nTa/QmAyGJIWv8fH1GCHg3EnNW++mHFvRGAvHl+CNyymrS/4uOV+zdIdQiWChbsZz2VIKrm1T3GAd\nt9qKOLCkRhQzuoJqaBlkklD798xKoTQsgzz01WBgaANPGzI5mfB2Xlr66nQ5f03VU7+lELjmyljg\ngrCCyEYgA5zSiLjil7Soiltcx9kcem2c0qhibsx2u4iFlfF8k6u1kIvLBC7B7Hiqien1iZ96Gpem\nBBsnOf7n/xvC9ak570cQZ48JMhcx0i3mFzWfOyu4sWN56nwNrSU3b1meOFtFKzhxLOTNS95KbL4V\n8HahOn728Rq7+17kLgzg0jtttBTcbk9ES06vQVp8D1p1QbsHFZUydiaL8LNNuReuC7RDC8v1HcYC\nJzjoJ5KlpkMJ6A4sg0yw1Li/TkzZ3a7X61QqFYwxdDodBoPBuCo8bQNmjBl3n0ufS601g8Hgvny3\np+OT8L38NIdF3PPxIPHzP//zfPvb3+b8+fP843/8j/n5n/95ADY3N/mhH/ohAH7rt36LX/qlX+LX\nf/3Xef7553n++ef51V/91Yd+XkdxFA87pkE2ME7AH3U+crDg/6Cvv9f7y6YHY7kTZFP+zJ7VJb1n\ndHEfEMUM9bRF1jSgTguLLSMngHpgpVcMn9rmFcEbM9sABjKeUf4GSO9AzjQopDoIqNUhO61RLukk\nEwQopbfEmrHTmuqmmwIQmykbqYGJin1NdVAThVIBdqogYJ3EyANz7dx5FrlzwDNbK8HuUDPNIs+M\nF0yLr7xG9Vt/Hp0PCY+tERSicS6uEq4t02pfwTzmhZrkuQvEe9cAqHU3yT/3FWrta+PvTB43qKkh\nojopnKQnn6I23CYoBdkWT3L8vV/DIcnMLHqOtMOY2e9cbgTDdDpHduwPJHu9ybbCSZWdjkIWuVxJ\nB7/dl4TK28WWFmajXFMNmaGmGyeJA9jrz+bjJWU/DhzV6P5+D2V3u9FoEEURWZaN/bNL1txBW1Jr\nLUop6vU6rVYLKSW9Xo92u81oNLrv3+KR08m9wzhx18eDxKPMRT5TdPH19XW2t7dJkgTn3MwsxUeN\nD1P2K0VM4jieETE56Nv9oDFe1KQiUpJAZoRKEYXeLxClqddgd3dAo+K4cL7O5feH1GuOzZ2MLzzb\nZG8v4Tsv+pvs/Jzm+HrE6hI4AXEoObbsrbi++3IbIWBr11crlZKcWDJj0N1qRoQxxVySIgzhWGQY\nFeNLSmtu7XmQD5Dn3t6plwiW64adnmZ1zlCNHKaoTkoBt/sBJ+b9XPbEckHQTRRBZAm1ZJRDReVI\nGZEhUIBQiiQ3hDb1npWlgjiQO9AF+HZRxSuTOgtLG2OVT6IKurcHUQMH2LVTqA8uY4XEtncJjx0n\n6xRz2U4QzTW9bYlzOCkRtSri+juo819g+af+K3Rr7oE/348SC3VNMqgRLZzg1OZ1ksfP8MpbHc5s\nROy1M/baGUsLAUsLIdWqptvLWVuNublradQV803FaGS4dWvI1i1fEVlcjNnt5cy1JCZJee1awlPn\nG4Dl2EpAmmVs7xrKfCpQ8PrlnKfOhLQTWG05Ll61hBraQz+X3S+sN+LQEVrrGQyBHS+e9xtld1sp\nhTEGKSVpmpKm6T1ntw9S0Etl8vuZ3T5a1O4d1j68a7GwsMCv/dqvHdp+7Ngx/sE/+AcA/MAP/MDH\nniU9iqP4vYhjx46xvb39sTrYZdwvSC4L/getuh6GBRgUbh7VOSyCFO3dPpwbd7UtAhNUUNkApny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2tIc+gnitWW4VY3oBZ7UZJ23+AQ1GPLzT1JJXSAm7L48t7Z5YhsP9UIYcmNJbMB1kEoDSMq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+aTIwMs6+SzWLVHLwKeZvbM/RVmYptagK8obHokRpTQzFI8Risi/4apfe6zgeWV2kvEbZ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\nwzB45513cOPGDfz4448IDw/H9OnT0alTJ6ueT/EIqStokU3qBbPZXGW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"text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Energy in Waves" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What is the energy stored in the wave as it travels along the stretched string ? We will have to think about energy _per unit length_. The kinetic energy (transverse to the string) is just given as usual, though we use a mass per unit length: \n", "\n", "\\begin{equation}\n", " KE = \\frac{1}{2} \\mu v^2 = \\frac{1}{2}\\mu \\left(\\frac{\\partial \\psi}{\\partial t}\\right)^2 = \\frac{1}{2}\\mu A^2 \\omega^2 \\sin^2 (kx-\\omega t)\n", "\\end{equation}\n", "\n", "where we have assumed that the wave is $\\psi=A\\cos(kx-\\omega t)$. The\n", "potential energy will come from the stretching of the string and doing\n", "work against the tension in the string. How much has a small segment\n", "$\\Delta x$ been stretched ? At a point x, we can write the length of\n", "the string (using Pythagoras' theorem) as: \n", "\n", "\\begin{eqnarray}\n", " \\label{eq:42}\n", " \\Delta l &=& \\sqrt{\\Delta x^2 + \\left(\\Delta x\\frac{\\partial \\psi}{\\partial x}\\right)^2}\\\\\n", " &=& \\Delta x \\left(1 + \\left(\\frac{\\partial \\psi}{\\partial x}\\right)^2\\right)^{\\frac{1}{2}}\\\\\n", " &\\simeq& \\Delta x \\left( 1 + \\frac{1}{2}\\left(\\frac{\\partial \\psi}{\\partial x}\\right)^2\\right)\n", "\\end{eqnarray}\n", "\n", "So the _change_ in length is approximately $\\Delta l - \\Delta x = \\frac{1}{2}\\left(\\frac{\\partial \\psi}{\\partial x}\\right)^2 \\Delta x$\n", "and the work done against the tension _per unit length_ (i.e. dividing by $\\Delta x$) to extend it (and hence the potential energy stored) is: \n", "\n", "\\begin{equation}\n", " U = \\frac{1}{2} T \\left(\\frac{\\partial \\psi}{\\partial x}\\right)^2 = \\frac{1}{2}TA^2k^2\\sin^2(kx-\\omega t)\n", "\\end{equation}\n", "\n", "where we have assumed the same form for the wave as in the kinetic energy above. At this point, we will introduce the _impedance_ for waves which we already saw for oscillators. It is a measure of the resistance that a wave encounters (and can be thought of as a generalisation of the idea of resistance which occurs in circuits). We will derive it properly in the section on driving waves, but until then we will just quote the result. For the stretched string, it is defined as: \n", "\n", "\\begin{equation}\n", " Z_0 = \\sqrt{T\\mu}\n", "\\end{equation}\n", "\n", "We will shortly see that it is very similar to a _drag_ term as we've seen for harmonic oscillators. If we recall that the speed of\n", "the wave along the string is given by $c = \\sqrt{T/\\mu}$ then we see that $\\mu = Z_0/c$ and $T = Z_0 c$. So we can write the total energy per unit length (or energy density) in terms of the speed and impedance only: \n", "\n", "\\begin{eqnarray}\n", " E(x,t) &=& KE(x,t) + U(x,t) \\\\\n", " &=& \\frac{1}{2}\\mu \\left(\\frac{\\partial \\psi}{\\partial t}\\right)^2 + \\frac{1}{2} T \\left(\\frac{\\partial \\psi}{\\partial x}\\right)^2\\\\\n", " &=& \\frac{1}{2} \\frac{Z_0}{c}\\left[ \\left(\\frac{\\partial \\psi}{\\partial t}\\right)^2 + c^2 \\left(\\frac{\\partial \\psi}{\\partial x}\\right)^2\\right]\n", "\\end{eqnarray}\n", "\n", "This expression is actually true for any disturbance which satisfies\n", "the wave equation. \n", "\n", "What is the _rate_ at which energy moves along the wave (in other words the power delivered along the string) ? The force at any point\n", "$x$ due to the string to its left is approximately $-T(\\partial \\psi/\\partial x)$, and the rate at which work is done is: \n", "\n", "\\begin{equation}\n", " P(x,t) = -T\\frac{\\partial \\psi}{\\partial x}\\frac{\\partial \\psi}{\\partial t} = -Z_0 c \\frac{\\partial \\psi}{\\partial x}\\frac{\\partial \\psi}{\\partial t}\n", "\\end{equation}\n", "\n", "We will return to this expression in the next section when we consider travelling waves. \n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Create figure\n", "fig = plt.figure(figsize=(18,6))\n", "\n", "# `axminus` is a 3D-aware axis instance, because of the projection='3d' keyword argument to add_subplot\n", "axminus = fig.add_subplot(1, 2, 1, projection='3d')\n", "axminus.set_xlabel('x')\n", "axminus.set_ylabel('t')\n", "axminus.set_zlabel('Power')\n", "# Specify x and t and put onto mesh\n", "phix = linspace(0,4*pi,100)\n", "phit = linspace(0,4*pi,100)\n", "x,t = meshgrid(phix, phit)\n", "# Choose k and omega\n", "k = 0.5\n", "omega = 0.5\n", "# Create variable: Ignore Z0 and c, and manually differentiate psi = cos(kx - omega t)\n", "zm = k*omega*sin(k*x - omega*t)*sin(k*x-omega*t)\n", "# Plot surface: energy on left of figure\n", "pm = axminus.plot_surface(x, t, zm, linewidth=0,rstride=2,cstride=2,cmap=cm.coolwarm)\n", "# Set angles\n", "axminus.view_init(50, 30)\n", "# Add colour bar\n", "fig.colorbar(pm, shrink=0.5)\n", "# Plot psi to compare\n", "axplus = fig.add_subplot(1, 2, 2, projection='3d')\n", "axplus.set_xlabel('x')\n", "axplus.set_ylabel('t')\n", "axplus.set_zlabel(r'$\\psi$')\n", "# Create variable\n", "zm = cos(k*x - omega*t)\n", "# Plot surface: wave on right of figure\n", "pm = axplus.plot_surface(x, t, zm, linewidth=0,rstride=2,cstride=2,cmap=cm.coolwarm)\n", "# Set angles\n", "axplus.view_init(50, 30)\n", "# Add colour bar\n", "fig.colorbar(pm, shrink=0.5)\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": 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SqsM8Hun1egMVnsjJhacZ6WQ/48zv5gZBgG3b6Lq+7L5lgGR6lLQxS+oVAKi8\ncZSs6xGMTtD42Sn0mgX/0X84eL1SaiBJXqlpyXrMc1yKvBJqd+eIAMPSSSwXa89usqSfSGr6Xadz\ny0JNXido2xR27SC8cxOApNu/V8UX95J2e3hX79B877PHOgvzUe9Vbho3v8s/3zQOfpHMJ0kyUDvk\nHe4ndeEWBEEQnnzmF/yBgTFqlmX3jUfux3072beuoY9sRvPa/a8bczj795PcNVpLuj1KRw6T+R4A\n1pYdaONNSieO0jt1BpUkuC8c7Z+7puHfnhp8dmn3LtonzwHgvrQPveSQZSn177yJRkow08AsmMRF\nh+CrM7iHX1vV9T2JrEXslsvJ58cjrVZrYN6abyOAhfGIaZqithOeKqST/QyTu07nCbZlWYOq8f0q\ng/7Z02AYBDfuMPzrr+Nfvk77k9PEzSYbfv0toqkO7dOnB6+PouihTUse10NS0zRIE7LmLAqwgjbY\nRdwNNeIwxty+k6TVAsC0FDgFwolJKvu3Eo5NoHSdcGyaDd97hcKOjfQuXKO4fy/dS5Pc/p3ffSzX\nsNbMN40rFApEUTTYr58kyaAwkcvJgyAQszRBEARhVeSF+DAMB4q6XCq8XrFAeucGVr1GOj2JMh20\nahW9OUkyOY4yTKxqGe5cJ7pzp3+OukHlwA7IElSSgGXR/aI/S7v8ysvopk7l+Ets+NVvEk7Pwt3i\nvDMyRHj9Nmkc0/jJ+6RBiO7YZKZD3AsIz3+xLtf3LLDYvNW2bYIgIAgCkiRZYN6aZZmYtwpPHZJk\nP6Pk+150XScIgvvuk55P2u0ST09jbtxG7RuHUV6DcLTvyFk+/CKzf/QummEw98M/APojopIkWVGC\nvVxyv95mIEZjHOV10WrD6H6LDAM76UAYU9qxhWRuBupDpGNXoTJM5dXDkCagFIVduylsLxGMXqN7\n9goA3tVbuNtGmP3R249tD9R6BCLz3UBz0xlxAxUEQRDWktwXZL6ibr4x6lqvJ1mnhTGyCY0M4gi1\nYSNWewrqmyDLcA69DLeuwNAIyews9u49pOM3SSbHSDr97WLu3hdwdmyh/q1jkEbEU+MEt27Q+/Iq\n0fgE1kiNjf/WrxBNzZK2u3Q++oLS8WO0PjxD7MXE7Q5xlBBOTxFNjK7p9T2LzDexzcex5nLy5cxb\nZfa28KQjSfYzSBzHeJ43qBgv3id9v6Q2uH4DAHPDMPHtL6G4AQBr2xb867fRigVa75yld/YSgecR\nRdGyLuWo7khOAAAgAElEQVRPCubsGFm3gzGyGQCj4KJHHkmng6V8sk6H4p59aFlGqjtYriJO+9dT\n3LmFaGwUZ+deoum+U2j9l47TvXwb//odepevPDPSJdM0xQ1UEARBWDPmF/zDMBwo6nIeZf1cLpZJ\nx0cxvTmUWQBNwxoaQksilG5h7d6LkYcrpRrOnr04w3WyThvNdQmuXcfesgWzUiCZvkHaa9O70HcX\nLx8+TDjel407mzcy8+N38S7eoHr8CNbGDUTjM9S/+00Mq0hwZ4poroHfaNM5+dEzU5x+HFv98gZA\nrVajWCySJAmtVotOp0McxwsM0XK1XRRFEo8ITxxPbmYkrIo0TfG8/h6j3E18pfukAYLr/bEVZgG0\nLCNperj7dlJ5aTfJ7CxmxaXy1quE0z5zf/BDCoXCqhLsx/kg1GfHUL02esEFwHD6bpZGsQR6v5pu\nuf0ihF0poc+Nk3QD3EMHCe9KyTW9SOXYIYZ/4zW6569QenEf4WSb0f/jt9f9/B/3/vX7zSBP03SB\nnDyKIpGTC4IgCPeQF/zzBFvX9QUJds6arxvTo2hxSBJGGPteQPN7AGRRjKUCknbfyFQZJmbSQ6n+\n+mpt203x5UPYrqJ79iwARrHe/0zLpHfxBgCabZF0vL6sHOheuk5x3y7s4QrNt99HN3XMgoNerEAY\nEY/epNdo4Ps+aZqum7Hos7L+5jHPfDl5rVbDsix836fZbN5j3pqmqcjJhScOSbKfIfLZk9DvNi63\nTzr/eqkHUHDjJu6BfSSNJgCpF2AXe3iX+3Ina8MQvVNfYtRcOj//YDB+YaU8drl4FILXBbS+dAzQ\nwx6Z5WIPVcg0G3vbdrK7ciSD/qIZz8xRrhvEdyYASHWNtHubLNWIZxp0z11FdxxaH58lvWvk8jSz\nVCK/3Azydrt9jxuoyMkFQRCEnDRN6fX6yW1udrZUwX8tCsj3rDeT/fnXWRxhew3SmSmUpmPaOoQe\nyfgdtHIVvTkFgUc0OQmahlktw50rGBu3oeK4vy/7/BXKRw6x4Ve+ibOpgrOxRP2bx1BxSPX1wwz9\n8usUD+yg9fFpmh+fo3LiOI13PkOzimQ9nywFvAB7/PrA1CvvykZRtOZr5XoX5B9H0X+pe5Kbt9Zq\nNarVKgDtdvu+cvIoikROLnytSJL9jJAn2EqpgRtjvs/2YYhu38bdUiccH0ffsBFno4NeqRHcGgNA\nM02ynk/748uEV0fxx8dX/Nlfi6x6bowUDX3TVlQcoRXL0Guh7CJ25pOmiuLObSSdLnq5QjJ1GywH\nZ+smiEPi2TkKu3aQ3PoKkgT/Wj/pNoaqqCQh64U0f/CH63oJj2tRu98x8hnkuXwrTdNl5VsiJxcE\nQXh+SdN0RQX/nEcZU7kU2cQomW5hl0sox0V5Xaz9L8LkLahvQqUphf17Ua0GlKtEExNUThwjvHyx\nf/5+vyhQOfoq7t4R4omrBDfuENwYRbMsOqe+JJqapX3mAmkvwLtwg/pbr6EXC8z9/FMqb76Od30C\n/840SbNNEiVEly4M5j/PN/lqNpuDueHCL3hQPFIsFqnX67iuSxzHtFotut3usuatIicXvg4kyX4G\nyGdP5jKkOI4fmGAvu5fJ66EFXVQQ4u7ZTjJ2A708DED9V94kUynFowdwX9qHP9ph9vv/bM2uYT3Q\nZu6gMjA3jKCCAH3TdpTfQ3PL6EGLNIiwMo+40aB48CBZp4NWG8EpZHD3uiuH9qGiCHNomODmGNU3\nX6H61lGcrSPEnYC5f/6j52au9HJuoPMDBXEDFQRBeD7Jsoxer4dSijRNSdP0vvHIWheQo+Ys9Npo\nG7dgzI2h3DJatY5+V6aubJfiy4chvatsG9pI9firaIFH2u2AZRHcHqP+5jFIQqI7o9g7duFd6s/d\ndg8cIGn3Cwj1N4/TPnmO1PNpvPsZ5RcPMvxnvkXnk88o7tuBZulkukXc7OCPjxNPjg6ueb5KDH7R\nlc1VYk8qT0LRP2e+eWutVsM0zYF560rk5IKw3kiS/ZSjlKLX6w3mTEZR9Ej7pK2yC4UyGP09RQCp\nlzL8Z15HqYTg4jW8r65hlooUd4/Q+fj0Az71wazrA3t2jCxNMWyTrNfFqFQAMIr9GeCaaaKFPZLZ\n2f61A2a9jpq+Q6YMam8cIwv6bqPWxq0M/9pxsvYY7Z+fpHvhFrqm410e486P/2Td5F+Pg9UsnIsD\nhQe5gQZBQKfTEfmWIAjCM0gej2RZNij4r3S056N0sxfMVB67CZqOUakBkKXgbNuGytekQgFt4jpp\ncHeLWLlMevMyqlDqf71zN+7mGvHodXoX+4ZnRrH/WcUX92MULDZ89wTDv/oGGDD03dcpvbSPyuuH\n6Zz7krm3P6Jy/BiNdz9DL1TIgogMDeVHxBfO3HP+S3Vlm80m3W73ud16tZp4ZL6cvFwuo5S6r3mr\n7/uDzvfzeI+Fx4Mk2U8xSil83x88iMMwpFAorGif9FKd7Hh6GjPpkimD8pHDA3MQo1wgvnGB4MYk\nAOVXX6b90Rman98gnJyh9emnKzrf9R7VtRiVxtCYRCUZRhqQdVtoRv/Brd/9v1EskBXKmCMjkPaN\n4iy3X/FOvACbHlGjX7U2ay7+5fM4O/eRej4AzsYKGtD745+sm/zrSaocL0ceKNzPDXT+v1eRbwmC\nIDw75Al2/kxf6eSRtVrb0jQlDEPMxhT6rv0Q9ddozXHQ58ZJm7P97WKz/a1v8cQ41oEXyCb6+7fj\nuSb2jp1YRZd0egJr516yIECZJpppUn55B86mKq0PP6Xz+VmyWNH68BTND06CBmmzS/XYYVSmmHvn\nM8rHj9P66CzxXIe045HGGfGtGxD6y96H+V1ZwzDo9XoLurLCyphv3looFIiiaFC4yOXkaZouiEdE\nbSesB+aDXyI8ieRJdRiGg9mTjuM8tBHZfNK5GbTmFGl1J4UitK7OotfrxONX0Cp1ws/vYFTLGNUS\n1W+fILh0A/9Gi7nf+xfU3nhj1cddt+R7dgJNZWC7QITuliDLwDAhDlGa0XcWNQoU9+wijTO0QgF1\ndxE0KyXU2Cj+eEzp5RcIbvTlYkk7BE2j8tphsrkJ4o5P84MzaJ5Pdag+WOzb7TaGYeA4zmDu47NI\n0umSdns4WzcP5OSWZQ3k4r7v0+v1Bq6yuq4vkBJqmoZhGBiGsWBvtyAIgvDkk29Zyyea5AX/h1HU\nPUqhN8sywjDsjyptTGOmPnE3AMPE6M6irALZ1Dj24WNE509DdQO6HmKqEL8xC7aDShJsLcIfuwNA\nGmcU9uzG3bmNxrsf9o8T99cwc6hO65O++7hWcEg7PsHoON6VmxRf3Ethx2aysEf922+gqYiw7WM4\nTYyCiXX5PIxsuu/16LqO67oUCoVBPNFqtTBNE8dxsCzra1snn4aif05euLBte/BvJDfjy+ONPB7J\nvYzyeMQ0TYlFhEdGOtlPKbnUJU+wbdvGNFdeM1kqsVWz/fmP6DpaZ454aorSSy+A38Mc2oS7fxf1\nbxyk/c4ndD4+hTlcpbR3I90vrz60w/bjqBaq1jQAum2R6RbGxi2oOMHYsgPV60Klit6dJVUatpGQ\n9HyKL7xAPDcHpo0Rd9AqdVLPp7SxTDw9C4ZBPNui9uZe7JpL79oMhm0TTncY/b9+C1go/1pcRV2N\n/OtJXdSi2QYX/rP/hg+PfY8z/95/yZl//68QjE0O/n6xG6hSajB/Oy8OiRuoIAjC04tSik6nQxAE\naJpGGIYPXfB/1PVt/vxt3QDSGNWaQ999EK3XJivXMHcfQEv72+pUuYZTKaAKZQCMrTuwzAStWCad\nm0PpOrrjoPuzJN3+SFR72w68y/0Rp8VDL1A++gJD3z7B8Pe+iVEtoTk2mqFjbxyi9clpdNum8faH\nqExDQ6FMm8QLSK5+9VD3ZX5X9kFqucc17nO9WY/ryAsX8+XkcRwPtvktjkfEvFVYCyTJfgrJu4N5\nhTNfXB6VdK6flFqlAqpU78us9P7DRWk2hRENlfUXTs2xiWfatL64TdbtMfuDH674OLkxSn4N60av\nP+PaIENpBkaxgIpCjKENZJ0m5tBGNA3QTfTuLEmrhVN2+vuzt20jm74DxTr1N46h7v6qFHbvxapr\nxDOTtM9cASDtBTgbyrQ+/HzB4Z8m+dfDLmrx3Bzn/uJ/zuyfvE1hzx7aJy8w/Yc/4fS/85cHUvr5\n5B190zQpFAoL9p2JG6ggCMLTSa6oS9N0VQV/WL2aTSk1GCVp2zYqCtHn7vSTZ7c02B6mDBuTkOyu\n2ZnhFtBas6RxiuY42NUKqtNGq/RnYpdfe5348hcAeJf767xZ30j9W69Rff0FvPNf4n/1FeHEOHNv\nf4B36Sq6YzD8G98mbrXJgpDGu59TPn6Mxnufk0aKtOeTphDNzuGNXn3oa31SzNKe9kQ+L1xYljVQ\nGYZhSLPZHGx3mB+PRFEkcnJh1UiS/ZQRxzGe5w3cm3VdX1WCvdSiljZm+xXc7iyZ6VB65RAq6ld+\nrbJJOjdNcGcOgPKJVzCHKqApupcbNP/0Jys+pu/7GIYx6GrGcbzmBh9KKfDaZArMxEcpMFRM5vsY\npg5JjFYsAv192ZoGKo7R0hBUhrN5MwCZbmGmLdKs/6tS3LmJeGYSZ+ce4pkGAKX9m+hdn8K7McHs\nO+8ueT7zq6ilUoksy1Y8K/NJ62Rncczo//q36X3ZN4XRC9XB32m6xrX/+e8te4w8GBI3UEEQhKeb\nMAzxfX/wvF6rgv9KUEoNuud5Uq81p9DTGKXbmFt3QNyPXwzHQfe7ZJ02xo7d0JwFIG3M4R48SDI7\nA0DS9SgeexUtuevPsmMPabdH+dgR4tk7+JfOYrilgV+NvWkrWXh33NeRQ8z86B16X1yhcuwVnK2b\nSL2Aoe/9ErpTwr8zRTw7R9wLiL+61wDtYVjOLC0Mw2ciEXxcMY+u6wsKF7qu0+12abfbg8JFHo/k\nars8Hnna77HweJAk+ykiTdPBfpLcTdxxnLUzDpmdwRjeCK0ZkhQKZkzc6mBt3UJ49Ss028G/cpPa\nd44TjU0QXL+FvWmI4q5hvKsTBHfu3Pfz84dS3s3MJVCGYZAkyaCSmF/bIxF6EPpo5Rq6SsE00dMI\nlaagMkBDy88nC8gsF2fbVpTh9B3H6Sd0VrmEas0SNTpUTxwlbrYB0IwitTePMPTdw3jXZ3FGaqR+\nzJ2/97v3Pa18z/Jy8q81ufZ1Zuof/wOimTZkGUrXCSdm2fArJ9jwqycwKkUmf/Aj2qfP3/O+xQtn\nLievVqsrcgPNFziRkwuCIHy9RFGE53nouj5QI9m2verPe5hnet5hBBb6eMz1tysp00TvTpF5PbTa\nBrTmFErTyVoNLMcim5uGQhFzeAStMUk8PobSdcxqGe32VaKpvqoPy6X+5jEMLSGe7G+nC6f7MYA5\nMkLr07MYpQL29i10z10ZnF84MY01sgHd1Gn89D3IUnTLAKdE0vUIr10j6nVWfa9yFqvl8p/Feqrl\n1jsBzv8dPO7GgmEYg0ZIsVgkTdN7zFvz14ucXFgpkmQ/JaRpSrfbd7men2Ss9kG0dCd7BmvzFgCM\nQgGtOUU0MUX5xX1kQYCxcRv1bx9DixqEN/sOnYWd2+henkRTCdP/3/eXPV5u1AYsWIhzk4k82dI0\njU6n88gSqMxrQRRAqT96Q3f647n0YgmFhj6yGRWFYFrQmkbZRZyiSZpquAdfGEieNb8JQDQzi6N1\n8G/251waboFo5iqaVSSLEoLxJloG3QvXCaZnVnSOS8m/5l/74+zcrnThDG+PMvfD3yeJ+q+tHnsF\n4ia9C+dQiUbz3ZMkjYDR3/5/VnyMxfvO5u9jz4suS8nJRb4lCILw+JmvqMv9NR4lKXrY98ZxTJqm\n944Ha/STbONuZKsa0+ibtkCvjaoMYe/eizJMUAptwybMxhiqvhFURuHQYdJrX0KpQnTnNuaGDeA1\nia5+hTL6Iz+tzVsIb09Q++YJqq8eorC5iq4nFHdvA0NROfYiQ7/2FmbZpfvFVzQ//oLKiWM03vkM\nzCJpzyfLIPMiknOfrfp+LUWuarQsi3K5/FBquSeJxyVHv188kt/DxY2QfItj3t3OzV3nq+2elvss\nPB4kyX4KyPcwz3dkXssOdk46Nwt3E2C7YKLsApppoKf9irFRq5NOXkErj/S/HqrS+eIKKknpXW3Q\n/vjkkp+bV52Xe/jkydNazotUXgtCD2XfnYetKTLNxCiVUKnCHNmE8nvoW3ZCFJKZDkZ3hjSMKAyV\nSJpNzC1bSSZuoxUrFPfsBN0kabZw9+2h9+XnaFlGcKtf3dZdC4UiaXlM/KN/suLzzFnq2lutFt1u\n97Ek2ytd2Cb+/t9DJQnB7UkKu7ZjVV3SXg/ddWl9cg6ApNEiuDFJ6/NzD32MpSrz+T52kW8JgiB8\nvaRpiuf1zcByN/FH6WDnrPT5nW8vyxPsBQ2DxiSqNoLWmkIVymjDm9Cyu74vbhm9MYbSTTAMjEoZ\nLUvJNANr525M665RW30j5saNFPfsJL4zigL8azfRLIvigQPYIzbBrYu0PztL0mrj7NhO86PTpJ0e\nvcvXCW9P4t8cp/7Wa+iuw9y7n1P7pbeIptr4d6ZIGm2SICK6dvGR79lSPKxZ2sPwLK2xK41HlmuE\n5E0jUdsJ90OS7CecfPZklmVkWTZYXPKxA6tlcSc79fpJvKHuPoDbM1CsUT60nyy7O1PaTCCJiRse\nRqVE/RuvYm/ZQOXQdoyiQ3CzQePDD+45Vl51dl13xef2qIZhymv351HefQDqaYQybAxDoZIEo2CR\ndTsY1X6n2yyX0FRKFoYYvWnimWncXTtRSQLlISzVgVIddJ3ygZ2Qphi1Ov6121SO7KH20jYKI1WU\ngqk/+CnZKheyxddumiZKKbrd7rrKv1ZC7/xZup9+DI5LODVDeXuRYKwvq3P37scaGWLol19j45//\nHt61K0z9wR/fc5yHKQzdbx97Lt8SN1BBEITHQ5ZlCxR1WZbd201eBSt9f5IkRFG09HgwpaA5hVYf\nQUsTlOliug5K3Y1fHBtNKTLPxz74EqrTl31nYdSfLtLpX5fSDQqVQj8ZB6ztuzAqZSoHduBfu0LW\n61Lc+wJJq/9+ozbUHw0K1E4cxbt4ncwLaLz7GdVjrzD0y6/R+uAjnK3D/WK/WSBudwimZglurNxp\nfCUsXmPXyyxtveXiX2cnezkWN0JyWX7eBJqv5hDzViFHkuwnmDzBzn9JoyjCdd0Fi8ta/PIqpfAn\nJ7B27uqPuNq4mawxh7IKmGmXxAtxD+4nmZlBAfFMg8pLI/jXbxPeGiOYaWI4FmbZZO73FrqML646\n3+8clmJxojV/n8xy3XGVJqigB3YBsozMKkDoo3QTPfHJogg9CVHdFprVX0iNu2aoRqkMlouKYky7\nX9m2hmqo5gxpqjH0jeNkwV3Z+6btDH3vVVJ/hvZXE3QuTZD5MeFkk6l/9vsP+2NY8toLhX4nvlgs\nrrv860ELTu+DdwAwhjYz9OYRMq+Ld+UGAGatim76BLeu0Hz/FGkvo/XhKfxbv9inv9rF83772Jdy\nA52/8Il8SxAE4dHJE+z5M4Vd1723m7wKVvL+fJpKoVBYMB5s8N5uA60yhHa3UaC5RQyviQoD9B17\nodufNqKyFL05QTozidINLMdCeV2isdtoBRc96qLaDZK7/iv25i3oYQsMg2h8AoC46aE7NpXXj2IW\nbYa+dZThX3+LLE0Y+u7rlF7eR+1bx2l+eJLm+6coH3+VxjufYZTrZIFPpnSyMCY89zmPi7VUCq4n\nT2qSnZM3Qsrl8qAR4vv+suatjUYD3/clHnlOkST7CUUphed5g4dfvrjkCfZaVI7z8RdRFJG1Gjj1\nKlkQYG3d2jfqKLporVniZpviliGiyUnM4c2UDmyCNMa72J8Z6e7cjjc6S+/KHL2LV0juSslyd+il\nqs7zHzQruZb5+2RqtRqWZQ0ebIslUMrvoGUKaiOQRGTlIYgDdNdFAzSnALqBVqoMpGRaHKE0HdPW\nySyXwv79qKT/d4Z11+zCCzCiOaJGv+JtDRUJrlzA3rGP1Osn3oUtVbIgYvZPfrqaH8uy176c/Gst\njOJWstgkYzcJbt7on0+xgpq5jrFhK2QZ9beO0zl9isz3cfe/QDzXImm26Z6/sWBv9losnosr8/Pd\nQMMwHASAIicXBEFYG5ZS1OUJ9uMgyzKCILj//O3GFFq5ikozlKahq76UXXXbGEaGas6QuRUs1+l7\ntUQh+u4DMHkTbWgjKgwpvfwyanIcTJvgxg3Kx46RTo1DHKLd9XexNm/GGq7gbHYxChbtTz+ne/YC\nScuj/ekZmh+cRHcLROMz1N54lSxJabxzkvKJ47Q+Pk880ybpdEnjjOj2KLF/78jL9eRRlIJP+/iu\n+azFteSNkPmztxebt+bxWR6PRFEkcvLnCEmyn0DyMVe5BCUMwyUXl0etHsMvpNym72ERkXa7mMW7\nJh+OkR8ILfIhzXB2bCUZvYxW74+4cg/uQXddakd2kkYJ0XiP2d///WUXxbU45/s92MIw7JueqYys\nWEGLQzK3P6pLs/ujRXTbJtMMzM3bUVGMPrKFrNchc8pY/hwZJu7GIZIgwqgPkfXuJtXVMnRbeDdH\nKb/8IuHoLQDSoH9epT0jaLpOFiW0PvsK79r1R7rOnPmLweIkU9M0ut3uI5mlrWSx8X72I6LZ/vg2\n01YQR6SZSfGF/VgFRXY3UIgmmuiOjb1tE5VjL9D88DPiTmfFx3kYFruB5vKt3LdA3EAFQRAejaUU\ndYsL52uxri/3/jwesizr/vO3/S5G0IYoQNu8G7otMsNB37ARdBOyDH14E3prCmW5aLWhvuM3oJwS\nxSOv9reHAdrGrZReOQytKcLbfbPT4M4ElWNHKR3Yg3fhDFkc0T3fn3dd2L2T1qdnATCHagQ3xvCv\njdJ8/xSlg/sZ+u43SDsdat86gVYsEXsx0VyT1IsJTr3zSPftUZivFHxSzNKe9E72cixn3pp7KS1l\n3ipy8mcfSbKfQPLuG0AQBNi2ff/FZRXkUpZcyq2CHkbQRkXhL4xCQh9luxS2jKDsImgapttPVFM/\no/ZLx3D3bKL16VnaX92mcmALds2l8ZP38H1/xef9KAv0/Aeb4zj9SmFrliyOUZbdvwajb8qioaEA\nXctQSsMoFfuu6SMbUZ0WZr2OlgSkSYYZtUg6XUoH9hHPTKPsAro/h1apk/kB7nCBcHyyL5+fbVE7\nsQ17g0v3yhQondSPufW//9aqrmml5PKvWq225B6htXpwZ+0mwdlPiMbGsLZsIR6/DUDc6FDcoJOp\n/v01h4exNtawN9mUDm7Fu3QLzbS5+b/8n8D6LZ6L3UCh/zuUu4HOl2/lQaK4gQqCINyf+QX/+Yq6\n5brJa73HNz++aZrLmqvlz3Xd608CUb0OWDpa0EMVKxhRG6XbYNnodz8jSxKczZtRd7d+aY4DE9fI\n8rna9RrZ7SvoG/rNBGNkE+72zaSjlwju9CXj7t6DJI3+Me2tW6m9dZShbx+n/uYx7E3DaJaBZpmY\nFbc/6sst0PzZx6A0tCxDmTaJF5JcXR8DtIdhpWZpj2t+9dOYZOfMVwpUKhWAgeoyb4TMl5MvjkeE\nZ4u1zdyERyYMQ3zfR9f1QfXWsqwlX/soyWlePSsWi+i6jkEGuo65YRiVZhgjG8l6HSjVMOM2CRVK\nR14mad+d7ajrZNOXSTvbAChsG6Z94Q5W1SXTE5KJCUr796/q3FZD3uF1HIfotg9JQmbbaGGApoHS\ndLQs6ZufJT4RDpaREvk97KE6cZZilCskgO666I1J4rkepc1Vsk4HZ/8LRFcvoW3ZQ/3NDaD3H4bO\nrt1kXkA8M0fq9Rfw1Atxt9XpnP3qkR/kK/n55g9127YHIyU8z0MpheM42La9vMSOBy82wWfvoQpV\nVHyT8v69NN7/EKVp2CM1sjtfEur9c6y+eoi5n74PQDjWIhybIpqcRUVBv+jxGKVm1WqVLMsIw5B2\nu42u64N7kZsG5vsK8wDDMIxnRgonCILwKCilBuofTdPuK9dei21AixOM/Pi6rq/IvVzvzJIZJlpt\nGA0dBWjlCnpnhiSJMXbtG6jStIKLPnWDzFdQcNHmJkApwokJzO07oTWH9v+z96Yxlh3peeYTEWe9\ne+5ZWXsVi1VkVZFsLk2J3S1LAgyvI9uDMSDNjzEkzMDLD8PA/PRgMBgDM7AxC2amx0DLiyQvardl\nQ7LWbo8sqdtNsbu5r0XWvlflfvezR8yPuPcyWawlszKrWGzeF0gkmZX3nIi4N0/E933v975AEWfI\nMKR0+BCdH/4ANTVD//QlOz5cJn7qeYp+m85rr2PyguDgPtZffguMQdUq1F/4EtGFS+h+xPrLb9H4\n2nN0fvgu9eeO4XQjdDkkWW3SP/8RpUNHt7WGO4WNZ6lhH/xwD/U874EnpR9WIP8wMBRnrdVqn1hL\npdToPDI8xw/PI1JKlFLj88iPCcaV7EcIw+BISkkcx3fN3sL9B9nDCvZGdWaZdNBOgNuoUWQ57q4F\nilYTp1pBdNZs4FiRpDeXEKUyMltD+gHdDyxdyp+eIJirk7X6ZEsxrW/d3jN7J2hld4PJEsgTpD8Q\nWitVQBfoSgMd9SGsIEyBkMqKn0V9hLGbuxgcHhxXYqRClcugzWB+kwBo4eIk6xTa5qdKBxfIVxbx\nZudJlqxQSvXxOXoXl4ivLHPjm7+xI/Pa7MN2SKWv1Woj+tdGKv1theLuFWT/6LtoJ0TVG0hspt+d\nXcCsXgTl0D97icmfeoG8aYVl/L176Z+5aMcT+JhMc/kbv/pQs+BD//U7qYFu9N6GsRroGGOMMcZG\nJElCHMejAPtezLSd3NuHjCPgnnalQghL8+63MG5omWoIjB8iB3s7RYHqr2GaKxjPR7WWMH4JOk28\nQ49j2uu2T1sXeIEiv3kdA6TLS1QO7Sdfs61SanIWoRT1n3yB5PJH9E+9jQxrI/0W4YRW5RyoPPk4\nq+o/AsEAACAASURBVN/+Hv2PLlF7/mncqUmKKKH61S8jS1Wia0skyysUqSF79wc7tm47iduJpQ3d\nTj7POicbzwkP6z63si6HdPLbibcOzyNjtt3nH+Mg+xFBlmX0+/1RD/Zms7dbxbBXephBG0J01zDK\nxxU5OkpwSx5kGaoysN1SCnot8rU1ysePodeWcaZ2IR3F1J9/kdZ750hWW5QOzyBch87rH2z6wbCT\nm3MR2Uw1rmd7ySsNRJ4ha5OItE8x8M02rosRElmfwBgQpQomtdQxFa2jgyrhwjxauMiwBLkVUXGr\nZUxnnazVpfalkxQD2w9VnaZyeI6JZ3cTXW/hT9dBCG78y3+/I/PaKm73UB9SqLcilpaeO0WxcpMi\n01SfeJyhvlywdwHiCDm9i9KhfZiVc/RO2x50pzbFxE8/T+OrJ2h87VlQipXf/IPPjGp2OzXQfr9/\nRzXQMZ18jDHG+CIjTdNRFTlJkrsy6obYzj5+62uHWjGbtQeT/SbCGAjLyCyCLEXM7sH0O2gEMgzA\nDSCOUHsfQyR9TLmO2HMAUdi9vajUCRbmMX4IWqNmdxHOTVOsLRNfsHubzjS1Jw5auneSYISg/9FF\nwPZlt994H+E6eHt30X7tvdH44muLBHvmEDqn890fQJEjAx/CKkW3T3r1MmnUv6+1u91a7jSGe+iI\n+XgftqqbxY8TJX14ttiIIVNgKDw3FG/daKs2PI+MxVs//xjTxR8BFEVBr9cD7OYC987ewtY3Na31\nqFdaKTW6FwBRF60c3P4KOhMoY4MwiR2DWw0hbSDcGzihDf6N9Jn46hOQ56OKr1IuyXqbvNWk+Sd/\nwsTP/Mxtx/KgHhY6jQdjU4i8wAQhNNcx5Soyz3CGImgCcuFAuUKRFaj5PZh+D9GYxDTX0JU5XJ2Q\nZh6lx49Q9AYbYG8VgHR5ldruMs3LtnotSyGaLkJNkXdi8k6MKvvEVxfpvPse1ZMn7ms+O6nIPaR/\npWlKt9sd/fxuGd34R1aUJev1KQcZ/cRDlssf9+07ZUqzGiMWKD54D1UugUnonzqFv2cPzZffB2MI\nD83S/v4Pmfy5v7CtudwL91qvYaU/CILRBjamb40xxhhjWNya8FdK3TPA3un7b1W9XPaalh4uB0Jm\neY40GabbhNoUsr2ErswgGlMIbECohYMnc/JBFdqtVNDnPqCY3geAv7BA9NbrqD0HMTdW8Q8eIlu6\niu51ELP2PuHBI/ROX6XxlecQjkfebJG32oTz05goJjh5BFUuE128QuftU6AU1RdPsv7ymzRePE7R\n7VF4FfJ+Tv769/C++ud3eDV3HkIIwjAc7aFpmtJqtXAcB9/3cV132y1yPw5Bdv/MOVb/9EfEi6tc\nvbyIUIpg324qTz3B5E99Gel7I+G5jeeR263lrecRx3FGgfgYjzbGlezPGEPvyWHWSmu96ewtbD5Y\nHfY3OY5z+w2z30WVSghjUOUK2kjU5BQ6iSAoIbsraOVTffoERd8qSTu1EtnlM6Tr9v9L++fpnL5O\nutYlXUxY+53f3dwi7CD0oBptMFZhXClElmDU8KM+SBqYFCFdXN+hSGIIAopOEzU1b3/LD1D9dYoo\nxi8psrU13D17yW9eR4QVwv27MVqTLa3gLszTP/0OFAVZ01LchBR4jZBsrcfNf/VvHvo63Am3U+Qe\n0pVuVRM1eUZ27hQATrmEiHukS8tUjz/xsdJ4rUSxdA2cMkjJ5FefofeBfY2qTIyoc+lSh5V/8q94\n0Lhd5vhOuJMa6K108rEa6BhjjPFFwHA/AEZ07VtZb3fCdhlpw0AiTVPCMNz0c1wIgeyuYybmIY3R\nCESpjHB8hNbIxhQSuxWpqWnMYF4qcFFxD93poOYWED3b7qTbbfwnT5A1rahZYSTh44/jT02gex1k\nqULv9FlUuYw3O4VTKkhvXKL5yus2wH7sEK1X3yVbWad76izJlRvkzR6Nn3gOBHReeZv6l58nWe4Q\nXb5BttZCa0F67oP7XruHhVudTlzXvadY2qOIBxVkF70+i9/6t7z3i3+HN//yz3P5f/k/WPuD73Hz\nW7/DjV//LVb/6BXe+mt/h2u/8kmG463irbfatBZF8Snx1jGd/POBcSX7M8QwwB5K/Od5TqlU2vQf\n/1YC8VsFRDZuiEYXlvo7qexGFHgYA97uPWSLi6ipaYprl9FeHc9J6a5EyGqV9OKHGCHonb6Et2sG\nb66ByTLcakDn7CLd9y6QRxFOGH5izLc+EHaSLq6zxFbfi8yqiQtACjBAWIUiAy9ExF2MW8XJ++R5\nhqs88l6XYpCAkL79rvMc2euSra5Qe+EFsqtXMLVJ3KQL1UngIpVjB1n/o5vgOPQurVA+OIM/VSZr\nxxRpxuof/oj97TZerbbl+TxoRe6h33iapkRRRL/fx/M8fN+HK6fRrTWM6+O6WDXU1gpu3qB94zrC\n89Ar1t4kbfWZ+jPPW1YDYKSk+/55as+fQJVD8vUV+qfOEV2+Qrhv747PZ4j7Wa9bheOSJLmtcNzw\n73R4eFBKjTLKY4wxxhifZ2xk1A19fLeS8N8OhmeAOI63FGAPIXtNCALE8iomKCHjNiaoQmMGikFr\nlOviNK+TJAIxMY1Zvo4WEtNcw923l/jceYzjIvwAuXyZtGtfpwHRXiZz7JnA2bWXcmUaWfTpvv0W\nJk3wDx+jf/61wWQ+LmLUnj5O8/uvA7D+n1+j8dNfxpiU1g9+xMTXnkMnbYwbkjY7KJUTXzpDsP/I\n9hbzM8DdxNKGP9/KefXzVsk2xrDyO7/D9V/+JyAU3bM3APD27qP79mkAnHqN9hunmPzpF9n7t37h\njte63VpuZB7eTrwVGDFOxtXtRwvj0+FnBGMMzWaTNE3RWm+ZHgWbC06Hthtwewq6MQb6XcAglbQB\nlSoo8gIvdCjaTdypaXs/10U0l0hvLFI+fhTd7aKmZvF3zVDa7dN+6xzR9VXS9R7hrgYUBUv/+te3\ntjDbQJYXiCKFoGwL1qP+68D2UNWnEGkMtSkAZBBaUy81CJSkxHUsDUwUA2uPcgnjVwDBUFTVm2hg\nmitoXGrPPw0D2n0wv5vGM/swpkP/yhqd0zcpOil5J+b6P/nVh7YOW8Wwf/tW3/H+6fds+r86iWzd\nwJQalI8dA8fHpCnlEyfIl5cB0EmKWTxL2rJ0/fLRxyk9vovkymmEgs57l5BuwPl/8L8/0Llsd/Mc\n0rduJxyXpulILNAYw9ra2qhfangoHWOMMcb4vEFrzfr6OnmejxKJWw2wt5MsN8aMgvq7OWHc5eag\nC0SeQXUKaTSmKBDVOsS21UsVCVoqTGsVpmYQaYwu13EPHEYICbpATs3h5h1EYxoT9VHzC8iVa5Bn\nJFcu23uVQvTyJVStgY4siy+6dBPheVRfeAanUWbyp55l6s99BSEFja89h797lsZXvkTrldfpvvkR\n5ZMnWH/5TYQbopMEYwQ6F2Rv/Of7Wr+Hhc3sr7cTSxsyxDbTV/x5C7KzpUWu/m//K5f/4T8iX1/H\nmdkFgx514VuGn78wR/WFpygfO8jR//Pvb/raG21ah8zDoY/5ULx4yIJtNpsjN4Ax2+7RwTjI/gxg\njBlRQIY03SAIHkhFbBjE37phfuIB0+/aTarI0W6IE7fQWY4qIkwcI92B6nbg2ADWaBw16MGuThFM\ngKpPo1MbbArl0LuwTLYa0f7Tzalm7sQDIUkzZJGhHVs5N4PMs/EDKDJMWIYkgrBsx+laIocMQzQK\nNb8Hshy8AJUlaDfA9yATLv7hQ+SD+TmOXbu8F+PRJevYjdadnyFeuo4/OUm8aHu13XqIKQrar7y2\n7fk9KGzccIYU6nopRK4uAiBqVYQx5NIlKCu7vlLilW0SQ9SnCKdLUBT0zl7CadTwZ2rE584iPI/W\na6dAa+Ira7Re+4B0ZfWBzUVrvSOb52aE426lk29WTG6MMcYY41GB1pper4fWepTwv58K9v0G2RsL\nAXdTL7/jfYscHIWRjt3z5WDc0kHFbUynCTN7kZ1VTFiDXftG1W1TquC0FtHKMvzc6WlE1EP7ZWSl\nSrCwC5IYNbML3e1Sfe5ZsrOnEMaQJPYa/v6DhPvnCeZDpCPpvPoGnTffIVtu0nzldVo/eANvboq8\nE1E5/jg6imn+4B0qT5+k/eYZ4quL5K0uhZYkV6+QxfcvgPYoBVYb/aLr9fqmxdIexhx2KsjuvvEq\nF/7e3yK+enP0s+j8FRCC8lNPIlwIdleRXk77R28w8dLTlI8c2PJ9NtLJ6/X6iIHYbDaJoui2dPLx\neeTRwDjIfsgwxhBF0Uh0bBgA30/29l6b2vDgf68N00RdqE9DmqDKZYTRyCDASMeqbw/GKppL6LBG\n5cQTFIW9r9cIKNaWKFL7UaoeP4BbD6k8Nk//8hrxuUX658/ddcw7lVFM0hxRZJjBhmnEgCbu+Ygs\nxzgexD2MGlDC0VZh3B3Q5Ccm0XGEs2sPutPEBFXc/hpCuoRTNbJ+gmxMkHVs75ZTK0NnneTaIuGB\nfRQt26cslG/XZqqC1yiRNnu037lA85Wt23R8ZlndKx9h0oFdV2DnUyARzUWyJKd8/El0Njhk7NpF\nceM8sjFN0e3SePoA0aXrAISHH6Nod21QPldH9/tc+cavPNC57HSyakjTqtVq1Go1pJT0+/2RUv+j\ndLAZY4wxxtgsjDH0+/3RgTzP8/uia2/n/lEU3VdwPYSIO6giQRiDmVyAgS6LkKAdD7IYSlbwtBAO\nrjIIY/c75SiELtBRhHfkSczAR1snKeH+3eh4yGirUnv2GavvEkXgOKTnL1H50lOoqRr9U29jwIqb\nAeHhg7TfeB8Ap1EjvnST7jsf0nnjFKWTT1D/8tOYNKPx0rO4MzOk/ZR0rUnWS0ne/P59rwU8GHXx\n7WLIEKvX65TLZbTWo4rsrVow8ODnsBPnqvXv/C5X/8H/QNHrEl2w3unevoN487NUn9yPWw2JT51C\n9/oEBw+Bgf1/77/d9tiH4q31ep3aoAUxiqKRcNpwLR/Fz8EXEeMg+yFi2HOUJMmI4jFULr4f3C3I\n3oyAyOj1/S6yMYmJ+8hBldcJXLRw8PfuQUcRatduTGsNozxckZBHKc7UFEXTViWTa8tM/JlnkJ6i\n/eEVepcWaTyzHwws/ctv3nYtdhppmkOeUojBfAcK2EJZKpgRgx50tN2B8xStPJTJ0HmB4wh0v4us\nNSBLcRs1hLHUeTdex3R7lB87RLG6YgP2/hrGD8lW16jsnSC6YOlk6VqfyS/vp7y/Qfujm0hlDxBX\n/t9f3fE5PyiYS6cooj5qahYG1iJhJUQISNsdvECQtDsAOIOKNuVJJr/yLKbbJL50FQDphjS+egJv\nzkX6Psr3Wf6t/++BBaYPOikxFI4LwxDHcSiKYuS9PQ62xxhjjM8Lbg2wi6JAKXXfAfZWK9kbtWK2\no14uU6uETp6DKBBRF1NuoPpNjBMg5vaN6Lt4Pirt2bPO7oOInt3DdByj+qvky7YiqcolWLpGtmLb\noVQYUlw6g3EGCfS9B6k++RjFlTNkl6wuibvnAHogCiuqdapPH6X2/HFqzz9lzyAASiJ9h/7Zi5gs\nZe2PXkHHKdJxQHkUGWQfvn3fa/Ggsd39dTNiaZ8HunjrN3+d5u//NmiNs2sv2eoq7vQ0wdwM2ZXT\nZIs3iK8MqtuuS++Dc8z//M/hzUzt0AwshnTyoRJ5lmW0Wi36/Z2xgxtj+xgH2Q8Rw/5NIcRI6fuB\nKBwOxBI2S0E3UQdZCiHqIYbCXzpDG4lb8il6PbzZOfu7nodsLZE321SfOERy/SYiKOEvTJPfPDsS\nfKgc3kXzrUsU/Yze+/f2zN5ugGKMIc1SGBSv8UIrcuYGCCnA8xAIqE8j8hzqUxD3EX6ILFKM1sg8\nwnTbSGXfExlY2rlTKiHzlGxtBd/V6G4Xf99exPoSpjJB+Zkn0XmOyXNUpYw76REvLZJ3bZBf9FOk\n59I9fYGs293yvB72hmOyFHP9PEWribewm2J9DaSEdUsfl0rh9lbJVlbxDh0mXbWJFiMdWLuErNvP\nSvjYAaILHxGdOU3pyDHiy0v0zi+TdxJu/ItvPZS5PCgYY1BKfUIN9H6TZWOMMcYYDxO3MuqSJHlg\n55E73f92WjH3cw4QkQ2UjRfYYDruomuTg+sJpBKYNMEoBze3QbDptFCugfYaOijjNurglzC9LmJh\nH+LaWQgr5EuLhMefIjv3IQDp0jLOxATeZI30/Ed4uw+QDZw2iAsaX32O2ksn6b/9NvH5c+i4z9p/\neplsfY3w8G6m/vzXiM5dJltZp/32Gconj9N+7RTpSou800MjSVfWia6e39b6fh5wK0MMoN1ujyzc\nHmTSejvnhOZv/CqdP/kDksu2eo1foXLyBH4J+mesyJm3Zz/x5WsAlE+coPzkYfb+nb+xI2O/ExzH\nGVHzXdcdC7I+Ihi/Cw8JQ/XmoffkUNl5Ow+S22WOhxRW3/fveegfvT7qI5Qa9CkZjFCoqIkuDG7W\nQbdbyGDQs+TbqqyOYlTexyQJ3u49mOYl3F37KDp9DJD3MoTn0Du/THq9zdq3/+Cu49gusrxAmQLj\nV1A6Q7vlQZA9oI47HhiDqdQhS+z3NEYMfLNlEIKQCD8Ao7HRus1+K2XQysOdmBw6UuHNzA6uGxK4\nKca11ykfO0iyvIz0PDpnbSaztGeC6Poa2WKL6//0V7c9153Gp4Lsa2cxRU6xvorjCnR7HWf3fui1\nMF5IMFmzSuPLy1Tm6uSLg95tlWPShDTKcacmqRyco+jYpELeST++fppz/Zu/+UDmslM92ffCRlr6\nsPdsjDHGGONRxzDAHQa5cRzvSJJwK5XsofXQsJVtW9XRuGs9snUGjgelGmKwd+MHyLSP6bUxs/ug\n20T7ZdTcAkgHYQxiYga5dh0TVBB+gNuYQACiPo23/xDSpJg0QZSrFHFMOFUjuXJ1cP0SwnGov/Qi\n2fJloo/eQUpvZF1plD/6b29+ltXf+y5Fq0/jJ58DKcnWOjReegFVm6J/5QbJ0gpZashe++59r8eD\nxINKYm8US5NSUhTFlsTStor7nUfrP3yT7n/8bcTEvE3oCIEKfcyNc6ipOfKB7ZsIKpSOHqby/HFM\n3CaYbxDu2bWjc9iIjdal22WGjLGzGAfZDwFZltHr9ZBSkiTJ6I9gJ62rwP6hRVGE53lb63FKIgQF\nVOqQZ4jGJLLIEL6HKGymm9x+V2kX/BLBvl1ox9KE/dkGJolBlZGlgOmfPkm8uIp0BbUTe0iWe6x9\n+w+BnbXr+sQU0hyPgtwtIYuM3B1QmKVdB6Ok7b3yAkQaYzxbpRYDcTTpKLRyUTPz6EIjp+cwcQQI\nZGcZE1QIds2ihYsMS3ZDB5xKCdFcoYgySkcOjQ4qbqOBN1Fh4vl9SN+htGsS4SgW//137ij4cTs8\nrMrsJ+55+SO0U0JNzYx+5kxahXlTquP0VjClBv7evag8Rkd9vIXd6MtnAYhvrFA9Nk8WDT4ztSrp\nzRUaP/0ctSfmcCoO3VPnWd+kKN6Wxv4AerJvh9v5cY97oMYYY4xHHcOEv5SSOI5HCf/t7s2bff2w\nUnk7Mdb7qmTHHfKgbp1FEJj6FOQ5BoEoEuubncZIRyB0gfHLqLiFli5GOchg4EJSaPzDj2MymxA2\njodLDAOKuJrdRThZscHxkk0sF70+1aP77XVj26vdfd/ug8HBffTethVwd3aKzlsf2esmKZ33z1J/\n4WkwKWvffQWTx7gTExCUKRJNevECWRJveS0+7xgmXIaK2psVS9sq7udcFf3gT+j87m8AkMcpKEXt\nhRdIT70FgB5Yt6nJCaQDevUqOuoSnT3P/H/913dk3HfC7eYzPo88GhgH2Q8YeZ7T6/UQQpCm9uG9\nFc/Au+ETXteD/qbhhrmV1wvHASRyYsZmbKsNAJTvod0Qd89e8jRDTc+iO21MqY6ncrSWeAu7RjYW\neSem/vQudJyBMRRZTtHP8CdC4nOXyDdQpYeew7fO436RphmOyUlkiNAZhRwoi2ML0gbsxisFJBFm\n2COFfR+ETjEoVCnEpBnOzCy620bOLiCSPlp6eLpPkRWUjj5O0RvYgmR2TsnyGuWZgGTNUteUFxLM\nuxRpTPfcMr1LK2TrEdlqm9Vv/8dtzXWnsfEBbbTGXD2Dlg7e3DzaSHAchh9Xt15HZDFaepT2zFvG\nAFA6dMBmdv2QcNcMrFwjWVwHwD9yGBXmRKfeReeC3vk1pPS4/H/9swc6lweJzyL5McYYY4yxHaRp\nSr/fHwXYjuOMWDgPKgG+EZvRitkSihzSCD1ImhsE5AkkfczEHLLfRrshYmY3YnDcFWWbiDdpith7\naGBhCigHsXyFotW0FUpRQL9D3u0hPA8n9NFry4jqBADhsScwzZvkN68R31iyPzt4BJ2k1F54ivDA\nXqpPHaJ0YJby0YOUHttN/WvPEn7pGKpeovnya8RXVigde5zWq6fIuxG6H6E1ZFFK9ubW7bwe9Pv3\nMNvXtiqWdj/32CzSD94g+tH37GulIr16lerJ45iBnoERguj8RSonT1A9coDoQyt6J6sNgn17qb/4\nwn2PdTPYmPQfa8PcHr/0S7/E3NwcJ0+evOPv/N2/+3c5cuQITz/9NG+++eaO3HccZD9AFEVBr9cD\n7OZyq5XWcFO73z+Kja+P43hkRr/l6yiJMSDKZUwSIYa9yORo6eKUfEgzvIUFdKeNLJdRrSWKKKFy\neA/ZypoV8Z4qUaws0r9oN5za43vpnV+kc3qJopWw+K//NfBxP9hGv7/tPhiSLEdR0Bc+osgpkCAd\njC4wyrGx9IbvQhtrR5anGMdDJl2rMK4TTBwhPRfTaSEnrFCF8ANk3Cbvx/ihIFtbx5mbp1i8jlEO\n3qT1zo4uXkGVAvK4Td7ro1QwGmPpwBTpapel3/zdHcvI7gQ+EWTfvAhpjC7AcQw6y3H3HsIMFFul\nZyv1hQanu0SeG9yZmY8r+9PzqGQZvIDo/GXKRw+jRIHu9ZD1Ot1z9rORLnfovnuWzodndnQeDyv4\nHVeyxxhjjM8TsiwbBdhDRt1OtrncK0i/l1bMfQX5cRcTVj+mh7seGI3odyi80P7c8a3eitaYUhU5\nYOWZLMNLmpjmqnUZSTrguOiVRdThoxTXLmKEJL1+jfKxo+SLtv0r70WUT5zAqZQwcYSamiG+dBkZ\nBDgTDYK5gHz9Os2Xf0R84TKqVqH5/dfpfXCW1o/ehiRHKZfKM09SdPu03/iQ4OgR4qvr9M5dJltt\nkmeC9MN3trYWG9bxxwmbEUvbKrZyTshvXKb7rW9QDETt5MwC5cMHMNcvkA768Z2FfZQfP4S5cY4i\ntZ9FIyXx+cvM/rX/4oG/J7e2yW23BePHEb/4i7/It7/97Tv+++///u9z9uxZzpw5wy//8i/zt//2\n396R+46D7AcErTXdQeV26IcdhuGdvaq3gTi2tCLP87Z0zVElmwKjNcqVVkl62Gsatcm0wCdFRxFu\naPuLnPLA0inNkOs3SG7cJDh8iOTsu8jGFMnNNbzZBqocUDu+h/KhWdqnFul8/0cAI1X1RqOB67oj\n24Gh399WYX0BcwSCDAejHNufHVQQRYYe0L1w7XdTrtuqdn3aUuVrk7ae7XpW8C1NkSaHIkcODiHO\noCfdFAWyt0a2vEzpwH5MkiBqU/glkBOzmCyj/sxR0hVbxY1utHEqAY2n9iAMSNeh+cp7LL1/alP9\nRg9b+MzcvGi/K4WT9SiiCG+iRtHrIspVzEBp3CmXEHlK1ulROXKQvG9ZGt7MBKbXRk3N4042CCop\n0Wl7zWD3PlToE8zXKR+aIm22uPbP/sWOz+NhV7LHmeMxxhjjUcbGhP+dGHUPki6+Fa2YLd0z6qCD\nGqLIMdJB5DEoD11pjDRVRBAgdQ5xHzk9j+m20FKhymWrFp5EqIOPIzrrUJ1ENqZQAtAFYmKW8MgR\nTKdJvrqMkRLpe5jFS2Tr1spTTc5SPnaUymN76L75GkW3i79wAJPaYF765VFfduPLzxB9cJb+mUt0\nXn2fia+9SOOlZ4hOn8HbP4ucmiaXHnmcEt9cJr52acfWaifwWXtY30ksrd1ub8lOc7PnKt3v0v1X\n/w8mz0mvD1TkpybR1y9AqUxy5TLC9/Fnp8nPnwLl0Ds9bBc4TOnxg8z+1b+0qTHdL8aWXZvD1772\nNSYmJu7477/927/N3/gbVpzuxRdfpNlssjjQG9oOxkH2A8AwwB5Som/XfzTEdja2jYf8e3lh3/U6\nRYopNMJY4TOKQX921EN5PirrWWqVGWwa0t7HbVShXIOiINy7gABkbZrykwepPNag+cYZOqevoeOU\nxok9pItrdN//APh4gw+CgGq1Cth1a7fbW6YDxanGAFq5SDSFE6J0Tu7aQFAPfLGNUggDJixbP+1S\nBeIeDGzLpG+DcFkqY4RChOWBGBzIwiYy3FoF/AoYzbDtXU1MYJavYtwy5aOPIYXd3J1qBa9Rxp9T\nmFzTObOITgp0UtD6F9/EcRz6/f6o3+h+Egw7jqatNKuhN3avh5t1KdbX8PcfpFhbsf8etwHIW22c\n7hLpygqyXB55lGp8GicPIktV8oHVlwwC/N0VjExIFru45TKr3/4+6ysrn/B3vF88TKr4rZXsceZ4\njDHGeBRRFAXdbndkG3oro26IB0UX36xWzH3dP4vRRY7ME3RlyvpYC4kJQiQGo1yEHlB6tYY0QkRd\nG0x3ltBuCKUqYvAs146HNzWJHtiAqvoELF5CDNTKg0NH0DcvIjyf+OIF+zvlEL1yGVmuYgZq7f3z\nVlm6dOwxZOAy9bNfZvLP/iRIQXj8MYSrqDx1lPab79L76CLhnt303zqDiWJMkZMkBVmqSV77o62t\nx0PAo2KvtVEsLQgCsizbtFjaZu5hjKb/e99Er68gJmYwUZ/w+FPoVWvrJibmkWFI5chBsmtWCM9Z\n2I/u9SgffwKvXsKrBngzM3e7zbYxPIs8iALeFwnXrl1j7969o//fs2cPV69e3fZ1x0H2DmPotSKu\nLwAAIABJREFUPTn0+9vR/qNbsN0ebyEERhfIrI9wrcWVmJyBPMPUphBG45QtdVzV62gjkfUJTNTH\nuAGOjqza9P59o+AKx8dxeiAHPVJCoHND850r6Dij+Zu/hVLqU0GJEOK+6UDRgJ6TSQeXgtQJkToj\nkQHoHC0GmXNhQBuM61iFccf9+Dsghba0sVKIMQI1v8dWqstVTK+D9kq4jkE7AeGRx9GFfYg7JVvl\nztOC8kyZorDvdTA/Q56tI5Sic8ZmxHRe4JQ8um+fwvd96vU6lUrljgmGh1nJNlEX07XZeVkkGEBV\nKiBAt5uo0MP0u8ipOVi/iXF9/PlZ0Jrkxg2qJ54kvWkpdTIMKK6dwTg2gVJ+4Wmb5W+1CCYnyXsJ\n8Y0WRSdl+ev/lDRNt60m+rD7sceb2hhjjPEoQ2tNr9fDGEOe5+R5/ilG3a3Ybvvardca9n4/CMXj\nwhjAIPMYrWwAX0gHpTNEmmCmdtlqt+MhqzUYCKLK2gQS0AWo+QXM4CylwhDZWkJHsW0REwXCaIqs\nwJmdQ1XKiKJAzS6AMVRfeJ7onTcQxpD1BpZkBw4R7l+gcmIv7mSN7lvv0H71DYp2n9afvk58+hzl\nJx/DadRQlQrpzRW6H10hOHSI6NwSyYVriG6PXAviCxdoLS8Tx/Ej1WL2oHBfwncDd4+hfdVmxNI2\nc1bIf/iH5JdsO5txQoKjx6GzSr54HbASNOUDeyBLR0J4Rro0vvwcrF0jPnuW6s/87Jbns1V8yh3m\nIYm//jji1s/fTpzrxu/EDsIYQ6/XIx+IIWzGq/p+s8dDhc7hNe4bWYrEgOfZ6m2lhk5iRMlaUikx\nsK+qltGFxt+7l6LTRtQnkOs30UZS3jdH3rX9Ko6TYqIu8bKlptWOH8SpBKhqQPv9m/QHapvwyQ/0\nRsrLnehAd6p2Jqn9WY6DQ0EsfKTOyITLUNgMITEDpXQDUOQYAUgFg2ewyBK09HCUQBcap1pFR30b\nbHdamLCC6q1QGEUwVSOPU2S5AgMVUBl46OUrpOtdVClEeBIKjTcxic4KEILq4Rn6l1fonbvB0m/+\nh8GaOXdMMDyMjXUUZDcXodsCL0T21tFOiFutUDglZGMSMVh7Z37Bvq7UIHALKDUQysE1Efnaqm03\naNtgO212qRx/HK+kRpS5tJmM7u2UPZp//MqWNsg74WHad30RlTyr4uPk2J2+JicnP+thjjHGGHx8\nHtFao7Umy7K7Btg79Qy7VYx1s73f93UWSiOQDnlQG9HDhy1eIo1AWmVxE5QRUcsKo03MjdxSUArV\nXcZ025a5NmBy6bUlgsNHKJZt8JR3OvjVgKJlk9AaRe2ZpxBFDlojgpD+6bNUnz6JPztBdPod8naL\n7uC84+/dQ+tHgx5rz6Vo92h+71XSxTXqP/Ec3twMqlSi9sIJgv0HSToxpp9QdCPU6bfI85xWq/XA\nLK02i4eVyL7fe2xGLG0za1dcOUv29svoNVu1RilE8waiZjV6cD0ck2CWr0PZCgWLUhlpUrLzH+Du\nOYgpCqovvXRf89gKbqcP80XAvc4jQ4bsZrF7926uXLky+v+rV6+ye/fubY9zCz5PY9wNw57iLMsQ\nwnphb8mregsYKnQGQbAtmq0QArJBgOgoTAbCVZg0wZmYpACEztFugENGkhrckkvUXMc58gT5yg10\nYXA610lXNOHRI8TnzmKUIrpwg4mfOEq21qV/ZQkZuNRO7iVb7dH6zncI/spf+eQ4boMhHSgMQ7Is\nI0kS+v0+nufh+/6Iepbmg0q2lnhoeiakgUBgrI+lKTB+CRF3wQugSMALbdBYm4I8tQ/KuAcqRKZt\nTOagVEHSbeNOz4LRuLUaurVEkRUERZOoIwiPHCa+es1WfUkpgOjKdRonD9I9dwMAHWsmvnQAYxJa\n79zEm6wghOD6r/wGc//lX/3EOvi+j+/7I5GYOI4RQoxUYB/kBmfWb0Iaw66DiBsX0MrDySNyFeLt\n2YfW9t7KtesuKlXEtbPkjT1UTjyJceyDvnziJL133gYgWVyhsssn6dsKgjs3j+nnVI9Ng5DoXkZ8\neZHr3/x3LPzCf0UYhgRBMJp/q9XCcRx83x/ZzNxx/J+RfdcXRWm8i+b3wqN3/Z2/tP7RQxrNGGOM\ncScMA+yNjLp7Jfxhg07LfTLjNt5/6MO9U24qt8JoDVmMUA7aDRB5hnZDqxyOhHIdM6B9E1aR3XV0\nliEqFUzHtjs5IgflYFZWcB57kvz0e5iwivQk9FvoTgvCMn6jhl68Qro+0CTxXbKzH8CuQwC4e/ZT\n3y1Izn9IltsgP9z/GPHlNwBQtQZOZQURevgHD9D5/ut2Dql1YlGhR3z1Kr0P2lSO7yOYn8IIhzyH\n/Ox7NL7yZ9Faj9ThjTGjs8KPU4C1U3vpUCzNdV1KpRJpmhLHMb1e7xNq+rcdQ9wn+86vY4JBkFau\nIVqLoAuKJAMpKR1/iv5brwGQrjdRjQnKRw7TftX+TBdQfv4FVLm87bncC1/UpP+9ziN/qbu1s8jP\n/dzP8fWvf52f//mf5wc/+AGNRoO5ubntDnNcyd4JDDeUJEkQQhDH8aa9qrcaZA+Dj50SEBGZ3QgF\n2gbMQiOKwtZ//RCTJhjHx4lb6DRFFTEUBWogBOZUShhtSJeWKC1MY/IcNb1A7bmj6P7qKNAs75mh\n/e5VlAvtP/zjrY1xAx2oVqshhKDb7dJqtej3Y/JCo6REa41RLghhA0QKCq+M0hnGtfT1YSO1cT2E\nNphKA5HFUJuAIkOUQjt3pWzfdq8z1IEb+Wk65RKySMlWV/EDQbG6hju/C33tPLI+RbAwj4iapCvr\nGMCp+iTrN5HKx2hDstKhiHKiyzfoX7i9sMkwwRAEAY7j7Aid+k4wxoAuMN2m/UFoWQwiLCOLFJ0V\nuJ5ApynOwl70QGjP9e1a5llB4BYUWoEQePWKXa/GDNWj+zHdFvFF26NWPnaIrLNCut6maKf0Lq9T\nRAU3f+03RuMZJhXuVN0fMkVuN4+xfdeDhQrVXb/GGGOMzxbDlrXhPjFk1G3mvLBT4mdpmt6x93vH\n7j0oECBdBBpVZOhyA5I+KNdWsQ22iq0HLWeOg4g7mM46Zno3qruG9iuIydmRQ4Yp13BlDmEdsAG0\nuXEROTWHSVNKzzxLdvYDDBBfvoxqTOCUfNJzp/D3HiJv2mp3utal9vxTTPzsi2Q3ryGIcas+vTff\nxVuYovHS00z9ha/R/NGb9E6dI13p4u9eoH/mJv1zl8lbbQrjkCwtEd24hJSSIAio1Wp3rdI+0ET8\n5/D6t2NHAndkR6Z/+BtWHC8vQEq8A4eh38UA2c1rlJ48OfJSxw8pOh1K0zV0NjiXKIf44iWqP/Mz\nn0nSH74YQTbc/TxyK37hF36Bl156iY8++oi9e/fyz//5P+cb3/gG3/jGNwD4i3/xL3Lo0CEee+wx\n/ubf/Jv843/8j3dkjONK9g4gTVOiKEJKSRRFn/KqtkGMRmwzKB4qdG4M4LcrnDYKsosULSQeGSIs\nYYoCMTWHWVtC1WcQXVBhCZRGlMowoKqrtIOuNAgOBiMKljMxSXLmPZzZfVCsgBQkKx0whvZ7i+A5\npGtruLdkiTbzgL21ur3SzjFFQjEQYyuEXfdCuiidkzolvH6LQnlIrMchRtggO0/RQYBqLdtgGxCu\nTR5IP8Bog5qZxxQahLSCcIBSBqMcZKlkN2+jCfbuo3vzBoR1yrsNJkuA61SOHqD30UUA+tdsECs8\nhfAk2WqXG7/yaxz+n//HTc1Za02SJCOV2J3IZI8+O+1lRF58nPkHlGc/Y9oYVNIl7mq82VnSlVVr\nh5bYFgHheojmDTI5SfnJJ9Cx/Uw507Mk50+hapPkH12g8dKz5KurCMCphvTO2vUougnRlSVW//PL\nTH3tK58Y3+2q+51OByklvu/jed4n/CE/K/uuH6dqwt2gwi/GPMcY4/OIIaMuTdNRwn8rCfmdED/b\nbO/3tpHa/acQEoll3RVC4BhNEZRQvXWM0ZjGLKK7jkYgBOCWoFhClKuwgrUprVYwZiB2Vq5gVq5R\nhA3U5DRysHa2L/eJkZCamp5HrLQIGiWiC+cB0MqeHyrPPkNy+TrJpQuEx54iW7VuI+7sHP1zN8iW\n18hnp2n98D3CvQu4Mw06b71PdNWhdvIwQhn6V5dQgUPqVMhe/S7hz/03wKertEmSEEURvV4PIcSO\nqrf/uEEphe/7n2CC9vt9XNe1jIsrH6LPWlp/sbKEd+TJkX2pqM/gTYeweJHcswkYNbebsLWOaa2S\ndOzvefsP4AtJ+KUvfWbnkS9KkC2dzc/zm9/85j1/5+tf//p2hnNbjE9M28SQviOlHAl8bOw/6r5/\nhlO/+N/z3l//JeKr1z/1+s1uasPN89YAftubYp6gvRIiS1FhCY1AhiXIc0SlCnGEGsxHBS4FDv7+\nA+g4RtTqmKVr4IeUF6aHQtw4vkEUBXk/R3gOky89iSr7VI7MEyxMEF9us/ytb23LemBY3c4o4zoS\nsBtLUoA0ObHwcUxONOjP1sOPutEIwEiByHOMlBD3rZf2hrFIYdDCQU1MYfICNb8bE/UAgWwvof0q\n4Z5dFNK3fV2DP3ZRLqFvXqAwDqpcwp+wVWGnWiFealE7tsDEiT0EExWEkiz/wcsUUXTPucKn+42K\novhUJnurGL2mtWyTJFPzIxG70WFicFgq2i1cE1OsreDuOzRSGnddO75sZZWw6pE2LRXPLXsIraE6\nRXDkILJ/nd5H5wev8fGnK1Qem6X2xDxZq83ir/2bu451o5roMMmysU+tKIqHljn+omxit0I64q5f\nY4wxxmeH+2XU7STuV+x1q2cZk0aWuaYL6y4SVBBDDZaBowi6sO1h/Q6mNomK2xjHRczvHzmH4Aeo\n/jomiZGTs7ZtDCi6HbzpSYqOrUwbIVGdZfSgPU02JgkmSgg/oOh0bKVzdZ36sydwPEW2soSRkt6H\nFwFw52Zpv/qunWvoky03MUVBdPEq7dffZ+rP/RROWdF9/0NM2sNf2IVxShRxQXLpAvmwenrLmgVB\nQL1eH/WgRlF0Vw2b7eDzWMm+3T2GOgEbtWD6q4uk7/4QGHyWKjXk2nV0yyZIZGMSsXoV/JDs+lVE\nWMIpBZjWKqI+RbZ4E3dmFrdew5udQfj37/hzP/P5IkKF8o5fjwoenZF8DjG0DBj2YN8q8GG05sP/\n7u+z8tvfAxFy+R/+35hblLI3s7EMA+xbA/jtQggBaULhlxE6R7oOCIkMfEyeIz0XMCCl3WBMhtbg\nVUN0t4u7ey8Yg5aurWR2+pSePEa+YoOvdKVD47m9FN2I6NoK3UuLOGWfcKFK++VXd2QO7Ugg0KMK\ntlAOjs7pGQ+dpyTGsdVZg1UWzTOrJj4UPQNblTXabsxFhhEKmUdWYdxzMGmMmpxGd9vIuQVEGqGl\nhydS8lwTPPYYRX8g/KYMAsi6MfWnDpP37UbuVhtMPr+PPFmnc3aJ9umbFP2crNnn+q/9+pbmPMxk\nVyoV6vU6rusSRdGAPn9vNfbbXc+0ljBJhKhPQtSD6qQ9mBiDMjlGKmSlCgZMv4s70cBEPWuHtnYN\noxyE7yM7yyTXr+Hv3UveXAOgyKA05aAau6zFiZTIkg9OSpH06J5bAa1Yf+VdkuXVTY134wY5tEJL\n05Qsyx64WNztNrUvStB9t03tUdrYxhjji4Y4jmm320gpSZLkUwn5zWA7Sfth//dGdtGDhI57pF4V\nWaQgJIUQCKPR5YZt9TIG/BCUi9AFomSrj0Yb2wKWJhgpUbndu3VzDTXRwKwto4VE1WrQXiNfvAGO\ni4ybkCVkS0uIMESaArO+CoHtuw2PHEMRkV06S3zdCqiVDh4hW17F37OL6smjTHz1S9R+8gRTP/0T\nlA7vpf7iU8hamfqLT7H6ne9hjIczOUH/whLx5evoqE+eG7JORPrWn951PRzHwXEcSqUSvu+TJAnN\nZvMTYryPOh6mm8oQw+JF5cM/Raa2BaHwyzgiA8+nWL6JqNaROkMYDfUZUIpw/z6ygXc21Qm83Xvw\nyg7p5UtUXvzKQ0vGf5Er2Z+Hs8ijM5LPGYqiGAmL3MlKa/2Pf0j/Q1u5W/+T14k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FY6rPzTNwE3f3gnX46bGbWN6FcOMrpWeUitMV5YBIcC6zliKxGEgECMjIPWMDaF7XfxqxWk1Yg1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\nBC0djU8IwaPaQkJQCodCeMuEtJX0aP9Pt7NXJjKWUpd4GVlFRW8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cJDftKLHIYfb824+5\nfPkyJ06c+EDX+F2RZAsh0FrPyADeK1gry3I213CY8x2Fobz0GiEVghA31xD/DcrEx0wK2eGT7Cmb\n550SbIAsiZDeqhZUPsH5CFMPSQpVOZsJur5Z88prQxCK3NgI+w0OIcDIqAk96ASKCggBLSK5lVKg\nZZw1r60kN56i1kjhqW3bqfag8RQhRStFaCXMvG3wKo0zTDqN2KokQwYPvQVo6ph84iMsyleEqoiE\nJt4jsgg71t1IHOdGI7Sf4Mcj0jNnSKkZM0e99gClWWDj//hptDE0RNm0ymvyXsLEJcjEoNMUlaXM\ndz07GyMGXcHmtkMnErylsoJBx2O9QKvA1oEEISnrOH9sW6z0pJYk0uGCJtUOIQ1Sxg3Qe4/GMhYp\nJjQUsoP0NbWZQ9gKn0Woq0BEEWrbEPJOnM9aWIVyQhASUQ7xQiF7c3GWOwSMiRrnG+YEmWjYdT1Y\nWmVID2VLxNIyZrRNvX4GZSS1jzJaifHk3ZRKdShFTpIbZGKQviZN4PpG1cqdtMR1wM5IIvA4H8iT\nOJ9eWT298vYmtQwbQ6oahk1OIi1SZ2gR18miP7QkG2CpD00TGE0C++PDQ8UPY7fObne7Xay1lGU5\nI0ec7gX3k+4I07zTz+12GALM69evc+rUKb7whS/wG7/xG5w+fZrRaMSXv/xl/vRP/5S//du//Rap\nrl/+5V/mYx/7GE8//TT/7b/9N77whS98R9fhvv3ztsMUf27cuDH77n/ta18jhMDi4uJdz61UhKF+\nGFrZ07GxEMI9yWfBEYjPWt1t119Fh4aUglQ7jAq8dvXeQI/v9drWWpqm4fmXLQ+f0pxYlrz+dsnq\nkmbnwLM8D5euliRGsDcKrCzChYsla8uaECKT9MZuIE8lCz0/IygNCC7egHEt6WVwbS+hl3u09JSt\nMLMgcONAxxEwDeMyxjX6Vr1sZbBBooKDpIsIrRSVTmLfpC5x+TzYGqTC9xYQUiBCgP4SwtWgDMwt\nRaZxgLQXY520G5VWjj2EGO/FBOFgD5MpRItUCwh0dYBveW3E4ippL4kjcVuR1Db05zGpIBQjqvOR\nVVzOL5OePsXgmSexm9cp3ziHEPKmnJeSFOdvFic7j5xh56//O9XbV+l/38fQC33saEz/mafRg4zu\nk09Qii62cPSqHZ45NSHLE3yAq5uWTz07z1vvxK78pHD05zSvvTnm4qWC9fW8JdWFg3H89+EHco4t\nCd4+f8CN7fh5rC5nDLqCxV7Dte24Vlv7gdOrcZQNYKGvWR149oYW6wSpCeQGLm0qihYSPyktZSPo\n5pCZ0DYKBJ3EI0VgWGkqGxGdpY3PSbXDGIWWkWVcyX+6nezbi/5HGZf7brajxCKH2fM/85nP8Cd/\n8idA7IzPz8+ztrb2ga7xuwIuDrF6vLGxwdra2rs29anjAEiS5FA35mEdo7UW1zRUoY8XsSLqUUgC\nXupIRBbiXLbMDydl5JzDOYdS6lDVscWOZ6eCXq6oSFAmJ5EGJSXsb+MHy7z25gHOR5km0ZSAYTT2\nzPclwTUkiUFJR8BQ155eR1A3gUTfXIfaSVLj2CsMvbSmtJLcgA+glMY7gZeGJHhC0sWEgBMJ0pZY\noWYyW8I5XD4Hw21CPocqh4gsQxYFwiTQdsCnpoQjCIEeDAgiwo+7SwPGb0fY9nq4ytWzn0avH0er\nEeMCsu4carQTk/dOjhA1ZRMhYJ3TKzx86b8iH/tJvvmmZX1NsrldYnoJCx0HKOxUMxpQKkLmg4jF\nmWGtyUzDfqHpppbKGTJV4dGEEJ2r9xLpHWOVMLAVZbJE5hoaOU8KiLQDroxJdieDsoDl9Qjx7y8j\n9zewOkerFm5//DRhCmcndlbGLmM922fPz+G6i3SMpektks1HeFokfzDUOEzWEpGFHGUC0nk6oiRN\nFJduOFZWJOWoQqYZncRxUEj6uWdvrFjoelIFqYnfKT+bP2+LVa5iczJHvz+kDDkpRSy0BHGkucG7\n2fqS4I0rntEElua+PQnvtLttjOHg4AApJZPJhBDCDGL+vW7vNet0N3vuued47rnn3vXYlPwSIlHU\nrdXjqf3QD/3Q++7DU0d43+7bvditxR/nHJ/97GdnxR+I9+df/uVf8vu///torel0Ovz5n//5oc59\n694kpcQ5d8/XOS3yGWPuec87iuKK9558YQVGmySuJBMNRmm2R5pJ1dBJ7+kSZjblxDHG8PcvbPL2\nOxVPPzUAPCvLhrwULPTg9UueJx7OubEPC13Y2IEzJxUmjXKOtHOXk1GDzQ1KBhoL3Sx2rnupY1Rq\n8sTjA5El3BJVNAQt+VlLlqUdw8rQTWJnNjJOR2bsAzfHIEwgQOkCSgiQEisUinhe55qoiS4kXqdM\nw/vQuxnzhV4ftXUZZ+ahO0DImK/7rI9YX0Q2I8LeDgiJDjU0Fa4oQAiSY8epX/469OZx5y+hjx1H\nNCXNZBSZya9sRx6WLEGWO/hCUr5zEYDswbOU/+PrAHQ/8iR7X46/y16XydvtPGoI7H/1RRb+9ScJ\n1YT9r/w9vY89QfHWa+RPPEldS9LS8qneP7K78q8Rq4ZiUvE//2GPpQXDIw9mjMaWc29MgDijff5y\njLkfOJnR2MCTD6f44Hnx3JDjawnbe3Ffl1IyGY9ZHuQAHFtRDHqBc2+ULK/kgEBpuHCx4swJw2gP\nlvvwxiVHN4dxpViZc+xPdHt/eZwNZJlgYmEu81zZS+iljsbFmfyiRexJAVf3Dat9S+8eu9hx+b4z\ncPH7xKvfav4IfeLD7Pmf/vSn+au/+ivOnj1Lt9vlj//4jz/wNX7XJNlTbcr19fV3BWZ1XUfHcZeu\n8K12GKc0dRbKJNig8EKjQo0TBqmSqAWtDLIp8UIiuoO7vu50ZvywCTbAA6tw7U1P3UCtNalMsEmG\nyTLC/gZl2uP85Uh61cs8jdQkDQzHjrmuYnPbcfxYim0awDAuBZ0Mdg8Cq0uCqgaIUOFeGtgea07O\nR8ZGKSMkXkgFzmOFRgdHIzNSO8LrDlQHCKUJtqKRBmVrnElJbE3orwCRNdsHEHk3MkourUFTgxCI\nyT7O5CQLHbwUyG4vEqcBIc3Qo5LXjv8rzL5DdCSJFLH7aww2NJjE0LgMqSd4n6CMYrm5xubNoSwm\nhaffFTO49LiM8GQfoJO2GuGAUYHaKuazmu1xzly6y9akw3p3gg0Jihraz94r08LDHXaamE7nRxID\nRdmSvwkoR3il0bbB9waI/Q3QCbLYw8ouen4B7xxoQy8DRtAkPTpigyvFHPrYg5ReYpdOM5l4FjoG\n11hKFyv4Cx2wkxotNUGmCO1JVIWdlICkcoob24HFVcViXjAhp5M5Lm9rzq47yjoytSoZWuJ3gfMx\nyZYqISAJrmarnOdEfoAVkQTtw+xkn14VaBE11xsnviMOZzqjPUXI3K8cH82p3bf79k/Z7lb8+dmf\n/Vl+9md/9p7O3ev1ODg4oNvt3jO8c4qk+aAQ8cPEM9PXmsZJobeIKoborCZLEsaV5qULmn/5mL3n\n157GN8YYvvl6wdvvVEgJ17ZiESI18NaFCf2HeoDDJJLlOUfZaCCAEOzvVTAfM30lPTvDQBfB8sBz\n4brkzJrA4WmmhXIZuLihOLbkSbVnp0iYSz1G+rajGRsJE5vTzyYoqWP8GAJBJggf535l1sVXY7QI\nuM48qh0fw2Rga6R3hMEqwrUvrBNEeQBBEZJ8tmsG55BLq/h2TVyaY/au43vLwFXUQ0/g3ooEe27j\nOuljH7k5wz23gF6pSXLFpE2iQca57MceYfT8C7EEOrcIvBM/150x+cMPkB5bxtWBuacfJjQWtX4M\nuz9CPf4gk9cv0H38Ifb++9dASuZ/6BlGL7xI//ufxl26iFhdwc6tsDS5yPnNCYkWlKXj9Mmci5cL\nxhPL8lLKibWEua5mrm+YlAHnPEkieenVMdvbEpPGJsnSgmFvAo8/aDj3+oi6CawsS8CzNC955e2S\n9RXFqBYkOnD1Rk1RCVyQGB3Q0mOd4tQ8OOHZ2Xc4mSAIGCW4sKF4YNUCEuchBEk/b9AqsF9IjIpq\nP0Wj4ihACHTTe/dr34kE+HZI+v1YJNpRi/532/MBfvd3f/cDX9et9l0TMU21KaWUs029aZpDwa5v\nt7s5pVtlNJxI0MJThwQRQvzStnPZbjp7rJNWuun97daZca31oR3zfF+gWvh2FQzOS6yIEmKuhR9d\nuNKwupxw9cqIJNGsLwaG40Ank1y+3mC9oCgjrKasIUvgWktO3lhB3soihBCJwFyI8hnWq/Y649o2\nwaBxlESGcTdNKqWMaaZJIkxcakRT3RSMDxEyLrOM4DxyYZlQFrC4BpMhXmUYKpz1ZA89hGuHhrv+\ngMvHPsm+WiTNFJPG4EMkVdsuNaVVSCMZNpqsk5DnApNl9OWQcO1CvGrvGfQVc5mPkmQEdkaCfiew\nN4r5cGMjZDrV03kuiQ0KoyQHVUoIN6FNbjqfLZP42ZscHRqCUDNiszBlHDct/CzNb36gLeu6zDtI\nIfDWoqTFVzXq5Bm6qkVl6FYepG5YyiY46xktPBDnlkkwqaF0kolVWJFQ+cjiLpXAolGp4eDGDvM9\nQTfxdPJ4Td5PPxPwQaKl5fKORKs46yRl7Oy36DvKNtlWSlE4TfCOcZMCgQ/TDwy6Aokj0YGy/s6x\neU5HUT7Mrvw/Z/NB3vHnvt23+/ZuGa97SbKnMqN5nr8rprkXO4ziyu2SpmJ+DRUsKRWJ9CTGs1co\nrm6/72nu+Nq3SpEC/O1XIhnYww90sC7wyCl48ZWCqg7c2PWRubtxvH6+ZHcYQ+mmduwNPTtDweIc\nvH7RsbogEUCuIrO4MUTpVKbyTnHEqWxiHBOIBWMXDGm7pZetWob3jmFtsC5CzIc2IVUehJipqEg8\nk6CQ3kVC0+kbtQ0WgWiK9rH2f4oRYekYlG2irA2y2I+jYQhMmiKJMYFYXEW0sqmhO49aXEbuXMVu\nRoi3D4J0LkV0+tCiI+xoTOfY8rskSMsr10FK8o9/DGEc/uAqvhoz/No/Ur79Dq4sOfgfzzN+/psc\n/P0LdM6exhcV+dkHwHv2/vvzdJ9+mv2vvYhZO0XjE2xRo6qCzzz4DkEolBTc2HZ8/Kk+J49nXL5a\ncuFSweVrBS9844AXv7nP1Wsl596IhMSPPNidkdpZLzm1Cs466iYw15Vc2/Y8eEyys+ewDhYHBiXh\nxJJn5yCO8G0PBXOmYljGzzZLJU1lmevEv+e7gXc2JVIEikYzyCyTll9GS8f+RDE31dLOYHusEcJT\n20DvHolU433z7Z3Jnn5/pjHPfeWTm/bPIRb5p3MlH9CmneypNU0zc1JHvSHvJjtxq4xG7TVKeKpg\nWgmHAK0eop+Kops7w0xvleqawsKO4lQXu45JBdYpalKs6WCVQfiGzW3HpAwMeoKrNyo8knJcRF1B\nP+3QerSWzHcDZRMJypyPzinKY0QZjCnZWW0VWrWVQB9m+sml18jgGPkEQiRJQyrwniAlQcbKMUqB\nUnhn4/q4miAUUvqYVGYJoRgjF5bjTFOWo6ohvrYkHY0bjVDLq/SbHV5Y/rdkuSEEgdKaLEvYPbBk\nnZSxNeRdjVCKkOUgQeQdBvMJg+svM98XbG03dHNFIi0IySAPTCpBNw1c2YoyIFsHAuturpf1U+b0\nyM4tpUS1XVvbziGVXpFgqUwX5Spc1kd7C1JHCY9AXI8Aob8UK+FJPpujF20wIrRBuRo/HqH7fRb1\nhJKEnojOy+mMvhghijG7vdM0jeBgLGhkQuUU1iuKRuBUQiMSrPVo5UlzQ5iMWV6QjEcNg15kVfd+\nupG3xHZSMCrjjOHWQSwiJAoaF6H8e2VKphqakNAzFoSgCglKSvb39xkOhzOW/A9qMth4X9nvPJvn\nfacW7agSXvftvn0v2vr6OtevX7+nJHuKkpsmvR+G1vbdFFe+RdJUSmTeJ7ElmapJlCMz8PXzCueP\ndi3T+Ga6h+4NA199YcTyoma+LymGE7yXOAenjidMysDjD0hefrNkaV5xMIazJwWvXWg4thKvcb7j\nIjw8F6wN3Ey2SQl4Z0NQ1IJe6rmyE+Oa3ERyNAAlAxsjAwQS5XDEZCuEmftFKY0NMnKMmC6iZRp3\nKgUE0lb4zgLYmMWFJItPLsfQW5qRoEEknWW8H6U5XXv8/g6sP4AoWvKzssDMzxFahF3o9jHSQm9A\nGI9Aa5SvYbg7SyD0idOYUBB2t7CjmMSrlTV0ljH3+Bm0UTRX4xiOdzeLxGplndDKuSbrK4xefI2D\n//UNJq++Q//7n6H70ccIdcn8D34f1eW36S33qcY1TeN5wr7M8bWM/iDl8Ydyrm9UTArPY2c7CAHr\naxllFd/DqVOxgAIwKgKLA8XHHk148+0Rr701pmznqU8fz3jouOD8pTHXtuJzGydZ6dvZez2+qlkb\nOK5s+Jm8l20s17bBmFimyBNPbQXLfU+iA9d2FUXTSsx62C+iJJoUYdbomMvibH9q/unCxafnvx+P\nfKv9c4hFvmuS7KlsxvTmu9VJHdXuxFBeFAVa6xmEy4bIul04QxAaiZ91cD0iEmDcoYsdQqCuYxv0\nXolNTq9AUcYNpkFjhaKRCUIbbrx1gzxrSTmIDvxgHD1J03jyFGxtMUaisJQ1WAtCBKwNaCWom0gI\nBgItPeNKoUVgVGoCzBLyyss4oxQkQWoUjmDyyKjdroHIOkhChKOJQOjOI+oSJxQqNISmRtIQxkNk\n2sLCOrFI4a1FF3vYnW3SEycQcwM2Fx5lPHZsbNaMJ5bCGayTmMyguzm1NwitEFlK7aI8U94zzO2e\np58HLly1pKlke7ehcZJMW3yI76dxkYV0e19gvZg56aZNsiun6BhLEIZExTl6pdr7D41yFWNuMo1L\nV+OyPqKpIpRcgvCekHegsZH8rKnbwkOEnckWYhUmI7QvEaM99vMTzLnIKDpFEurRDvuDM5gkvsfK\nSqxISBPJcBxIcoPONEEbMuXpGM9Aj+nmgjcuWvJMYLAoHXVGp+91SnAnhGTzQNE4KCuPDyLCxpym\naxr2mw65aUAlJMqRGM38/DzGGIqiYH9/n6IoPhAJ0ONnDHVpaWz4tlYq71eO39888o4/9+2+3beb\nWtm3dnIPY7fKjE6T3g+Lofy9CGHvqLvdX0a7koSKzHiUAYfk+dePhgp0zhFCaP2j4r/+v/v0O7C/\nV/LiuTFFGWIxHlhcSDi2EGZdz/WVhJOropXlinrLxxcdtW0TZiV467KlslGKc3M/0EkCZRMJzWad\nawemrSFM6pZ12kHtNI0TdIxn7HKyZJrkxWNlsAxdhgwNCBFZxEMA1zARGpoKhMJ5HxGM3mHTToy3\ndELoL4GKqDaWTyCrcZuoB6RwMIx+XHa6yPEefhhVYVSWIsoxPo1kqenjHyVsRL3eZnsLvbxKsrJM\nGB6ASSnPnwcpSR84AwfXcTeuUl25Hs/V6zN+6dX4+/yA8o0LpKfWSdaXSdbXcONiekMAAXcwwk8m\n7H/5edKTD2HffB1VDKlryMc7VJtXcc5x5UaNMZKr1ytee3PCx5+aQ0l48tEujz6cUzeBxx7K+cRT\nXbxtuHFjEmNUG1gcaC7fsCQmwv5fOjfi9HqKDxFJKYLltfN1bPoAczm88nbD8VVNCLGw8uaV+H/j\nCpZ7lro9tpeBawKDTmhn7i3X9mMc5bxAC4dtiXdS7bH+g41jfKeS7FvtfjwS7Z9DLPJP50o+oE07\n2dMg/lYnda92O4HatNucJDf1f11EE1F6jUNF8rOgWh3oQFAKcYcku2kanHPv0sI+qlNdWZAo31DX\nktIaHAkhzQkmZby5zfpClD1SCvCWfs8w14nJ0kJfc+lqhZCSsrQEBM4HehnsjwJSQcsbh/WQac/W\n2CBkoPagZdQk1CoSljmp0cLjdIYMDiszcG4Gtwo6QYZAyOeQtiF0BgjXoLrRmXhlmJWUxVTOo9WF\n7vVAKPxoiFSStX/zr5DCI0KUqQoIiio6UaEMjYOGBJmlBB+wKiEkhloYuqZmYe91QgAp4cJlS1EL\nmibeP1U7WuU9zHUDqY7wZ9HOp2vpGJYJmXFMbIKWDhcSQvBoFfXEJZ5K5khXMxYZ2JLGdGInO+/O\nXiAoESvi3T6iKqK+eQsvk77BC4nsz8d7qioYHBuQ0rDnOpxKtyh9QqM77GfH8Ch2d2u8FzQYSCIy\nIk0VzgtkkmClIdUNAzGEEOf5hZRc27C4IOlnjrIRCDxbQ0knicyWg1bqvWyrw4QYiSTK8f+x9+Yx\nlmV3nefnLHd7e+wRuUYulZW12mWXxwZss9lmjBmWwRL8AWIQICO2Ng3CbjRqhGSmzYxoD2DU424J\nxiPAYhgEWM2MhQFjM9DGjV12ufaq3PeIjOXtdzvnzB/nvpdLZVZuVR6M4ic9ZUbEu+++d+999/yW\n77JVTbTHJiGQJUp5wZ8wDGm1WjQaDay19zTdfvhQyGhcYkrDMPvado53wodz4hUfO7ETO+GL7Kub\n/rcTN7MZfTUm2Tfa1/UDg5dtF8RIHRG4jEAYEu1VuE9cklzcuL33MymwtfbN39FY8H/93+tcupyz\nui8mLxz1muTU+YL9uwI2NjJePDGeThrjSHD85BCqwUWg4ZkXM7KqyB4MPby4OxaszBg2epKZZjXp\nrgplreD8psYC9dAyyBSBNATK83wBlBSMck2oHIHWKFWh9qykdAJbFhDUsKZESYGNm1cEjZImOIsU\nAtdamE69CSq/bCFxKpgOGqwKkct7ETry3O96BzVYx0mF21xD7Ts8Lb5tXhDe98AVrndSx6UpUTOk\n7PmCXC7tQkQRzYcfxKxdRDiHXt5Nft7DzMO9qzRed5TmWx6m9vBhRDHEbl8m3j3P8Klnqd2/n87b\n30jn295C779+hfTUOYYvnaf24FG2/+6LqJlFnKphC4PLCr5r+TmGYwi0ZGPb8OiDLQ6tJjz93ICn\nnhvw9HN9Ai159rkeTz/bZTgynDqbEWjB6Qt+gr53d8KuBUUrKXn2mLclU4FGSji8W/Ls8ZwkgvUu\nzLdhfcvgHCSxohG7ygJW0Ko7lISXztgpjFwIx4VtWYn0OSJpsM43XZQSXOhGlbgdDFNHIPJrXETu\nNF5ru88bwdF3chMfXw+5yL+YIntlZYWNjQ0+9KEPAdwTR2KSYF/9pbvZtNk6cF5nkhKNcI7SSW/l\nhecHi5vAxSdWFlcX2JP93+kXPlQlgwyyAnIUhYywYUJsxzz9bJdLGyXzM4pnn++TJAFzTcsgFcQR\nrG0aEDAYel52XkAthvOX/XsZZRAqh7W+4C2txFpJrPFcY+G8RzhQoAmkIRcxyhly6bu2U/9w6cXA\nTCUYYsNqwl1xkXWthhUa5pYwWY6TylteUDWKgwS9vAvKguY3vZ19C4Juv6BWD9CBJi8lYRTQH1kK\nA2MCdBiQlhIZRzRqGqkUSV2xuP6kP0fGUq95Mbe8Ej/zaCpva9ZMHFI4tPL2EKURxNqyNQ4IpWFr\nFCGxDIvAN3kmSAYVghBoAZmIEWVO6ibq3FWjJvDwM5GlWK0gHeKaMzAeYKMaIutjVYhud3AygDCi\n0/Sv0Y2WiGRJ1zXoLh4hjDT9kfNIAiEJI0nhNCWKQENpHFJrZBAgo5iYMZuVyqcQcHbNMi4k6ahk\nXAgakWNzoOjULd2hpFVzxBqicHKtVhP9UuCQaHIujxNCBUHgdQWMMVPhsFqtdk/T7VZDUo8hS0sG\n46/toraj7OnDIF/xsRM7sRNX4OJwe+v59ZSxq+NOp+E3iqvfw8Rx5fqBwY1CNjpELiVSGWFoiSOH\nDgSfeeLKtPlmUZblNaKRQRDwh3+2RlbBiXuels19B2rsW5Zsbow5c6Eg0HB+3bBnUfHiSc/T3uw7\nmjU4fjpHStjsC/bNW05dcix2vGp0nvvXTWLo9u3Ukqk3quhshcCWnvrWiC2jUhMHfpuJ5Y/Asl3p\nrACkLkZhwFnGlY+2FI6RCNBYEBIjK2qXtZQq8HxtmCIYhSlxC7txhc8hRRQjxt1qEANifhlhDS5p\nQVJHuQy35cnvzhjU4DK28DkQnQXixVnceEhx1oufiTChvnsJ198kO1MJotXbiDCg9aY3YNMu+enn\nyU8dY/zMsen5KXoprjSMj58mPX+J3ue/QuOho8QH92HTjN6XnqP55sexqSUY98n7KWVh2Z2fYnV/\njNCamU6AkF6rZWnRf979exKefcEPCebnQl466YvoI4fqjMaWxTmNc5aXjvdo1DVF6T20N/uOlY5h\nlPljv2c5pJnAoJey7uWFyI3AFjlK+2O30Bb0+4Z23aP3aoHhzHqlL+MczTCfoiRaiaE/liSBIzee\nEpiWEZ2aZTgc0uv1SNP0jtF2r7Xw2U6RffP4eshF/vm8k3uMer3O008/TVmWdyQcdrO4elHK85yy\nLF9WDIOfdFq8R3ZhvQqmQ0wtn5wQN5xkG2NI0/SGkPa7KbIP74ZLl8cUTpGVIUZqLnUBk7O6JyLL\nHctz2i+MUnHx4pDewBHIykoBRxx5/lJhPGQ4Lz3MPAw8rMY6QXVvozCSSFty4xXGbdU5yp0mwDAi\nQriSvOL4IpQX0wKkMZRKI4oUVxXfE5UsfygkujOLtBYxt4wdDTAqRKfbWBkQLS8h5xcJllZ4+2Mx\nWjqKAra2S7wIm6Q3EMg4oTSSAoWLa0ShInOKsJmQNCKao0sIZ9jcNsy1FY2wJAwVtciSlYJGAhe3\nJEkI/ZF/i9Z4KJmQvrCUAgZ5gHOWQeE/S1l9Zls1V6yO0MIipKoU2aGq5bGTz6/8cfTFdYxwFtGa\n891xp7z4mQW9exVX8ZzX6EEWAAAgAElEQVTGwo+WRzZGzsySZYZRJshLhTEellVYSYkmLQWNukBo\nycgEDGjQjAyXe77TXxSGdkNgLAxGXkSmHvn91CLH2Q1JLfKUhChwBMpNITlGxNU17chsCK5ES4ms\nHhNLvLIs73m6vWveIy62e3dvi3OreK0701/PsTPJ3omduHVMJtlwa0vQq21Gb0QZezXuRdfnM9ba\n26KniVoLJSAkJ5SWIBDEoUQoyf/zX8pX5HpPrLomRciJMymnzgw5ciDisQdj5tqKxVnB5nbBM88P\n2LXi15H9e2J2LSjScU5v4Fic06S5n053h46VeT/NzLIJhFyS6AJdJSfCOS73JLkRdGqG7aGkEVvv\nn1xMdGgEm0ONlo4k9Cg9v7EkKwWlsYSBxjjh3UWixhRuXuD9uoUpsLUZpPVTZhdEYI3Pa+pX+NqU\nBdgcN0GnSeHFzvIMFvdMhwhWhgQrK7iwBjhcXCeQBmFKyo1137Bv1GFrDTG7hMtz1MwsDDaxG5cQ\ns0sV5Btw0DiwDMMtshNeaTw+eIRy01ertaP3M37xpH+qECA1djSm/8QzpMfO0vnWb6T2wAG6n/8S\nQjlcmoKKyHpjxGjM6ugr7F3WvjjezHnx+Jgz51LuO1BjYS5kcSFEa1haCEHAymJILVHsX1HYouTJ\nZ4c4B6qiKezfHUCZ8+LJlLWqoK7XJMNBRrvlj3c9AWFLzq9bhllVSBvLRg9m2wIhHLE25MaLn5UG\nzlzWUzFaKWB7pGnXLQLHKBWUFubbPh+p1WqUZUm322UwGFCWN7++J/Fq0DhuFTt0tZvH10Mu8i+i\nyDbG8MM//MMMBgN+5Vd+5VXhME1eYzJtvpmAmvdg9PZCY1vxssUVXjYA+tpu8YR3FcfxK0Lab/cz\nOOeYa5ZsbxakqaAkILOaU5sSwpCHducc3BNMBSkC5chy7x85WfzHY89NVq4kK8XU67EoHVEoKEtH\naT0UB2BcKAJl6ad+EZ0UlqXzMOmRiXDW+I5S5ReO0iCEF/yaHEuHn1ZbrwgqrS+0ZBTi8gw9O4cY\nDZDtWWSZkZcWaVKi+x4A4MHDMYEuycYlWeHoDixOVYJ0YUBc05QyRGmFiEKGmSRKQpQSBKrkcPYM\nJ86VNOqSbs/7Xda0YZx7NdLtoSDUcO6yxOKRAg7h/TKBctIBF4KgOjZ5JX5m0OAcpQwJKTFxkwAD\nUqOqLrYTzgvN6ch7hAcRYqJPOlEdj2IvflYaVLOBLXIIY2LlF+dUJmzLGQ9nlwoVKPLCL54GRRgr\nRqkErYgSTWY1IxtRCw3jDOY7kpPnSuY7knZsSCqlTWOuLNillRXsTiGFQ1YifwLHuOJtl1SNJWcZ\njYaMRqMp9+lqAZ97mW6/7v6YsjSsbd49t/tWcX1negc6fiV21MV3YiduHRNONnBLdfBJ0XujJv4k\nXi3xs7txXFFxjdBlxLokUg6lBEJK1rqS//x32cueP4GiTybyQRDQ7Y34d795jC8/1ePZFwZs9hxf\neaaPc3D6nH+N/sg3fNsNyTPP9+m0/fYLswGztXJKG2s3FWWWE4SVAJhyvHTW68bEgePilhc3G+WC\nojCUVtBMLL2BIw4r5xkz0duAfqo8yktYumlArZpuT9Z2LQz9MkYLzw2UulrnyowRCvIx3gqsgnSn\nQ0xYg3TgEQhRAtaixn3czDJi7GHejAZIrWDsi28Rxaj+5SlUXu9ZRQy2cHENu7VBdP9DuK3Lft8q\nRLY7xLtXMGseMVEOU5CSxpveRHH8GczldVy9Mz0vZddPlIO5GfRsh843vYHOW9/I3DveirDOH3wg\nvv8A3f/3i7ixJTm0n3j1EO23fRP1dh3jNGVW8HjwIi+dKbBOsNmzPHS0iQC0FvzTV7pcuJgy29a8\ncGxINsqRGL7wRJcXj49YXPBDpySWnLlYcnifJlBw/lLOnpWQwagS6r2Ys7FtiCL/vnbNwounDc0a\nbA8Fu2YMG72KSqgl8/VymlfO1A1Z4R1RRrki0oZehX4LtW+sKCVoxRZryum0uF6v0263UUoxGAxu\nOd3+WlDLdibZN4+vh1zkn887uctwzvGzP/uzDIdD9u7dO73g70VgCa4Idtxs2jwJ42skJI6RCSte\ntqOsGDtOBdd8Ia636rrZvm83Jl1wIQTzbcNzx3N6Q8nJ845xGVCIiP2zGc8/t8lw7HnFa5eGzHZC\nlma8D3azITl5LiMIJFvdnHEGQvjj1x95HlR34CfclXME3bFCS8vlQYDDK4wrKbDW4WRQFXiaUDps\nkCBsCaHvVLsg8sV1XPe/b8x4MbCo7hWkDUiX49IxIgygyFDtGQCkDtHDLbI9BxkOh5RlyUOrmv6w\nJIojpJR0h76gK61kOw1QUpCjIYq9Z7lSDF2IiCIOu+MY67lfx04XGCcYjQryUhCoSVLjGOcCY8XU\nEmJyeaWFJtLGW4IEBkTlwyjAWIcWhrGI0a4gDxoom2OSFtJ6GJN0fmrs4gRrDKY1hyuN7y5PpvsT\n8bMsQ9sUOxqh96ySWC9YUk8sm3qZ0RiEEsShpjswCKEIY43WitxpMpdgVEiYBJW9nD+Ztcix2fVW\nGv1BQRJL6pGddvcHFf9ZANsjhXXQHUhKC6GGvPRK40NTI1YlWod0On6hGo/HDAYDsiybFq93Mt2+\nniu1d0kRq5LB+LXrIF+/qH0tutVfL3E36uKf+tSnOHr0KPfddx+//uu//rK/P/fcc3zDN3wDcRzz\nG7/xG7e17ebmJu985zs5cuQI73rXu9je3n51P+hO7MQ9RKPRYDz29+dXKpAnRe8rFdi3eo3biUk+\nczeOK6LWQduciJwwKIkiX0xpLThxEf7ic8PpcycF9mR4oLUmjhN+7//c5Mx5v3gePpBw6qz//8Kc\nzwmWF0OSSNCIDMdOpTgHeekpXM6WvHQ6m9KwytJwbs14odIQLmx4w67eWNKOS/pjyVwLOolBTiDZ\nzrA5DAi0pFkh1fxxgXEhKa0gCf3wINaWQAfTZrcRIaUTSFtAWMdV/GgR1vw9r8wowoafSAsJSROL\nQ1gDYR2KMU4FYA0uThB56rVnWrNQjKG3AUGEHPt7mB0Nkct7p+KnrtZB7zuIGGxiNjw6woxSksUZ\n71YCOKXIL1yg9chDCFNO78Tj0+cACJaW0O0GjYdXiXZ12P7c5+l/6SsMn3me3j8+yfilU6hawsy3\nfwNSKew4o/ltb+H+P/7fWP3QL7H/l/41D/7Ghxi87h0UhaQxWuOxAzmllbRbmlPnct70hjbrG/n0\nWmjUFUWFHGg0KjqgEpy95D/X4f0J823HV5/pcrHySp/phMx3BPWwYG3LJyDbQ8G+RTel8i3Pa2ab\njksbxbRwFsLx/GmLrLj0oTasdTXzbT9McsYxyiuqnjGc3dQEytGpX2moT/IR5xxxHN/WdPu1tu+C\nayfZO7nItfFqqYvfTj5x5swZvvVbv5WHHnqIhx9+mN/6rd+6rdf+F1Fk79mzhz/5kz+h0+nQ6/Xu\n2VdyEhO+9CtNm631/oVOSC8ahlcYtyic1Ah1hV81KbCVUrfkQt3uojrpgiulePvrNb2h46svpJw4\nb5FRSNyMKYcjrIVLGyWruxXHTo2p1wMiVZDmglbi2O5ZpBRsdUuEgKxwxIHjwoZvcG5WzdfSQCAd\nw1xXlmUghUQJ75dtHZRTkbMIjaFQ3jfbyqoDrPwCZuMGwhhsrQVFCvWW30nkOc6UxbTYF1VXXCcR\ncnEXrd370VozHo/5xkccSsA4NWgtUEogtWS7B04rUkLCOMAKiQlihJbUagFSSdrZWXAOa2ylNioq\nuLTnZ4HnZ8cVRDoOQcsrk/tepqkFJYM8RJNT2gAtHUJorLVoHGNCAlcwkjWUycmDBqLMsFFzaucl\nAoVyDpptXJ5hG7O4zCdpshJSEXGCdAbb76KbdWZVn7GLmFVD+skyWgtM4SiRPiGRiiBUiDCgEAEl\nAZtDTVCPiSOvtqopp8rzYSh46bRBaommxOJhV4Oxv00UBqTwxffGwCt1elszQRwYtrOQJDRYEVVi\naxGNRoMkSTDG0O/373i6PRqNrpluO+dY3eX1A16r2FHzvHkYJ17x8bLnG8PP/MzP8KlPfYpnnnmG\nT3ziEzz77LPXPGdubo7f/u3f5hd/8Rdve9sPf/jDvPOd7+SFF17g27/92/nwhz/82n3ondiJu4zJ\nveRGa/n1XtivFK8GOm+Sz9xpUSC1591qmRFrRxBAFEuSRNKoKZ4+4fhPf7xNb1BOG/6TZmqWCz70\nvx7jc/+wyf2HYh44UiMMNc26ZGFWkeUlDx6OWJrTPP1slyiSbPcttURweduyPOM4ec6vFxs9x+oy\nnL5oprzsmVrBVg9mW4Jm4himVVEXO06vQRj4AmycTZxBvMVlWggSbemNNc3IUEHqANDSsp2GyMpt\nO6u42M6UDMoIVxWxKboSfhVT1JmzjlxH0xS/TJoVwiyA+d1XEHxRHZn3fRFeFrBrFTHs4pzD9rcJ\nQnADb+/lVEDgUmh0vFCaDghiDduXKce+WaFX9lLbvYg5d4K8goTLhWVMt0vrTW8g2b+X8bNfIT9/\nFj2zyOy3v5U9P/nDHPgf/xV7f+5H2PtzP0LrTY+QX7zM8Ksv8MB//BBHP/SviRp1siyj3++TZRnJ\nf/uddN/2XspC8BbxJQ7ti1hZillZ0HzhS126/ZIHj9R57MEaJ874yfnKUsSLJ3wuc+RQjeV5zeqK\nYjgqeOnEiNU9Md2BX8+1gvW1IXHsmweLs4pWDZ5+cczW0B+7OBJsXE6Zbfvz0q47zl4yOCfojwWN\nqKSovM8bMXQSOy28lLQMM411kry0JCrFGDO9Zq9u/t9qun29C8lrFdcX8jvIuitxJ7nIK8Xt5BNB\nEPCRj3yEp59+ms9//vP8zu/8zstymRvFjUepr0F86lOf4v3vfz/GGH78x3+cD3zgA9f8/bnnnuNH\nf/RHeeKJJ/i1X/s1fuEXfmH6t9XVVVqtFkopgiDgC1/4wvRvUkp++Zd/GYClpSUuXbpEs9m8pwVp\nAhOXUt502jwJ67zCuJISLBROEWAr8TM99Tu+mnd1qwIbbm9RnXTBo8gLdazMJ8RqSGEUcRjQGyma\n9ZhOc8Dhg3U2hpJwMp0Vjmee6zG/MseBFcE5fLe3nig6dYe1giRybA28SnoYQC3wN5SasnRThTGK\nJDQYp1HSYq0CLLnxhWEhIwIyUmIiu4EVGglY4bneNohQ4wEmbiDzFNde9G8tCLCFQ9SaFYQ6nCpZ\ni2KMOvLotIgLw5AkMdTDbYpcsrElyVLLykJMaXqUVlEEMaNej0gqknbCYDsljANcs0a5tcVCeprt\n7gHi0Kunl5HCKleJn8HWUNKue953FDCdcIfKMS4UnTjj8ihkb2tEP68TqT6GCEGJ1RGUFmEdKSHS\n5IzCeZIyo0xmfPc6TKAcI8oClySo0QDXmYfeJjaIIB16pnmgsaXAZSmyHBOkXS4lB1hhjVPDDgkl\nzbpklGkSrXwxvF2wMJNgRUFhDUUhqUchuQtIAs1CNCTNm4DEGkdRer792lrOzFxAKzZ0U0UttFzu\nKWbqjlB5Sw2AcWZRgay45pJYGTJ7RYNACIHWeqqTkOf5dMIThiFBEEwXEOcc1topJzoMQ8IwnPL7\nut0uSikePij5qy++tpzsCdRxp3N8bdwp1+kLX/gChw8fZnV1FYAf/MEf5M///M954IEHps9ZWFhg\nYWGBv/iLv7jtbT/5yU/y2c9+FoAf+ZEf4Vu+5Vt2Cu2d+GcTQgiUUtPG4fXIuuu9sG/n9e5F/bgs\ny6mF1l1FXCfKM0JVEClNoARSCUoniWPJxS34yP++zqHdgkP7IuJI8MLxjKefH/LUsz3ywvH8sZRH\nHmjw1Wd98fi6h9s89fwQKWFm1k+0Zzohl7YK9u+O2Orm5LlglAqW5jUzTcHljYxREbJ7UTHTsQyH\nDgfMtAQbWwVLs5JBAWXpSHOJsY52lJOaACUtgfKaKcJBHBq2RprdbYOUk5Y6OCdJS4V1xvtlmxIt\nLE4lvhFuQEYJJhsTYrH1DrKaeou4BtkQrMOENdxEBM05nARhqr00WsjRNkZp6Cx4K0/A1VroVgKD\ny9jNLagKQ7IxpubRfNHRR8if+hIOKM6dQdYbhLMzjJ98AmoNstOeg60Wl0jSnOy5p3DNeTpvfysL\n//330P7GtyBuch2YccrwmZdovfFhgOkaPEFBHOoM+fyuR2ncf5bF00/x/Pp/QyuRrF0uOXpfg+de\nHLC5nbPdNUSBYGEuZGkpotkw9Aclo1HJybNDZmcCRhWnvt2OuNwvOboa8MRTA5yDrJCAZXFG8uxL\nI2bb3i89UHB5q6A7hN3LEiEcs3XLiTXFXNPTAIrMkFfoPyXh+CXB/kVLdwwzNY++DJTXE2rHhuFw\nPBUBvFk+IqUkjmOiKJoiXCeIjde62N7hZN88Xi3u9e3kE8vLyywvLwMeqfTAAw9w/vz5a3KZG8XX\nZJJ9L9MM8AvM3/7t3/LEE09cU2BfH9d7U95NXA13uq2Or/OQhYouRGa1VxQXYFDIio9dFMUteVd3\nEpObXhiGOOemN4c9i9J3cVREXIvp5SFOah7YY2nHJRNFaOls5YHtSMce4tPrlzTqCkVJaeVU+Koo\nvdq4c34hkBX3OCslifYwHC/8Vt24pVcYH7oI5Qwj6wVBJkJZznkoVSk1oswxUnloVQV9ktKB1Mhm\nE2cdcmEXLsu8OFhvE33k0elxmBRxb3k0JE0tQkqM9RPp3Gh0oDFIXBhjUSSJZuRCwlgThKBDyeHy\neS5uWOZmFOORh0u3EoNxkkA51rYFjdj/qxWkmV+oI30lccqNRkvYGEVYZ8inx8L/670xAWe9nZlz\nmGqyT6Ww7pQCASIb4eIEmY1gZhmRjTBCI22KlQFqaTdOh+AcYbvFluswSg1ZDoEWjMcOJ0N6fcNw\n7BhmgjCJyI1PipCKYSYxMmJXc8iwsr5Y3zRI4Tv/3X4FqbMW5wT1yHKpq2jVHINU0ogdgTRTq5PJ\nFAAh0OrG35u7mW5Pusy1Wm3aTZ5pK5pRyub28J5pITeK6xe1nc7xlbhTTva5c+fYu3fv9Oc9e/Zw\n7ty529rXK2176dIllpaWgCvN1Z3YiX9OsbCwwPr6+svykYkmSxRFt1303m1OczV67m5hrUIIRBCj\npCOSJXFoCQMItCLQAoukXlNsDiR/9fkxf/qXXT78Hy7yuc9v809f6VGrae4/XOPo4TpPPeclxRt1\nxfHTftJ5/6EGvb71VLbNkvv2ScrCcHG9oNPx+dPCjOTF4wNmOz5HaDcEzx9PqdcmdpKWzZ7DCclM\n3dKvYMRZCZe7knEuaSeO9a4XQfOJ20Rs1bE90pVmmKObVbo6xpGaAAeEytI3EaEweIxblas4Qyoj\nlK068tUxVqagTNqoiqddKu2pcXmKa85OLblcaZCN1pWDXW+j+mu4WhtMiTxwBNb9Pc9sbxMePooo\nK5XymUWccyR7linXPYxczS+DcySPPIJdW8NsXKb+xjdy8Nd+lfs+8j/Teds33bTABlBJPC2wr/m9\nUiRJwuxsC60VW0ffjq7X+O9WTzEYQ6cd8OLJjDc82gTn7WHHqUVpwT99uccLx4aEoeRkRRPYtyvB\nVvap1kE7KckLi3PQrEvOX7Yc3CXpDgzGwtK8RgrYNWe44Gnp9MaSlY4hrQ59u2FoxwUgKh91x/YQ\nSiPwaDs7pTt2ar44b9Rjms0mURRRFAX9fp/xeHzL6Xaj0aDdbk9pGFdPt1/tuNEkeyd8vFqc7DvN\nJ06ePMkTTzzBm9/85lu+9h3fdYuioNvtcurUKb785S/zp3/6p3zkIx/hp3/6p/ne7/3eG25z9UQi\nCILpROLqWFhY4PHHH7+pZ+PtXLwTr+y7tby42tridhXKHb4omdygU6OxaBTWw6aDkKIobmjV9Urx\nSovqZJGeFNha6+li/U2PQJp6YbPeWBLVY5JOnTDv8uKxAYMUkgheeGnA0kLMrnkvjiUEnDxXEIa+\nW5yVYur3OBhBHAoGIz/hNta/r0GmCLVlaxT4z55PjolACUhdcIUboSPPAQ5iD5HW3t4KIT3cSmmo\ninhhci8gFyi/CLXbnp89t4yQErlr9WXH4/GjFiktg7GlXgsx1hHGsW+aFEBSx6CxUiKTCBdEjDKw\ncZ098gKjDFp1ybHTOTqQXkitFMzWDdYJggAubQuEhLVtQWGuCHlmxRUFdS39L8tKWMVMBOFkAM5i\ndUxACUpPt7cVb2zCWacsQTjvlV1reqXxWhNtCywSUav5xSKKWZqXrNlZAu2QAtLcC3sYC+NcApLB\nGEaFYGw1Qvr3LrQkJyAdpnRHglYdTl+0LMwKhDHMz3io+EQsb1I3J6HlzGVFoAzGQBQIr+RZ1bpZ\nqamFr/y9mTRGarUazWbzZdxt4Ibc7QktQmvNW17f4uS5bMqVuhefy+vja8Gz+nqNO+Vk30tCcP22\nN+vo7zRBduKfY1yfj8DtabLcKO6myL7aFmwycbuXCJIaocgJpCEMvZVjHEmaNUleWHYvavbtqXNu\n3bIwF7K+7Th8MGGzcv0Yp4aH728w09EcXG0wGlcCY1awNB/whodrjPopz70w5Ezlp9wfweouxXBo\nKEov7FlPYDT2P5dOstRxbPf9ZxtmkvG4oDsWNBJDIC31xN8bAu3ojyVhAK3YXQUpFfQzQV46amFl\nBRV6XraqBgpOBJROooRBRLUpss7qEONAlLkvjKsC2Dhfist8hNMh2vh1zQ22MfUWjPw0X0QxMut7\napiQyNBDza0MEJ15bzpired041DDDUzlj+2SJrWD+3DjAcXF8wAUuSF58AHY3qS4fJmVn/05Dvz6\n/0LjoQfv6dxPQgjBI6sBuajTffTbeFAcY/8ezexMwOsfjPnqswOGY8ujDzaY6Siy7Mo1V6/7hokU\ncGnLcHBvyKP3Jzz5dJezFzKGvufC3l0RB3fBi8cHXLjsrxGHYmXGTIvk+Y6nBzx7rKA7ktX5Fbx0\nFmaa/rzu6pSsdb1Q6yCTmPLKOY8CO52CTuzl6vU6jUYDIQTD4ZDBYDC17p3kI3Atd1trTRiG1Go1\niqJge3t7qhX0asXV+cjOVPvauJNc5J3vfCePPPLIyx6f/OQnr3nerfKJwWDAe9/7Xn7zN3+TRqNx\ny/d4x3DxI0eOoLVmz549fPazn+WnfuqnOHr0KN/zPd/DT/7kT7K9vU2n07lmmxtNJP7xH//xtvcp\nhOAd73gHSine97738RM/8RM3fN6uXbs4duzYXV+EE35zkiRT/uetwlgPWTHOFxuFU5RCI0WBdQor\nA/I8v2Mu1M0W1auVOydf8slinec5tdBSCwW5VaSlZn3bsTsJSYKURi3mwnrBgwcDnnqp4NDBgPEw\nJaol7FlwnFlzKOk4dS5nNYasUtlc78KBFThxAVZjgTN+mp2VEiUdvTTw3Fzhqimmw0oN1i8WgSsx\nQcUnVjGySL29VZHiggiJwTVmwRRQa3mvaEKkSzGFQTcSytEAubQH1Zh7mZDcaDQiSWKWOyO2U8eF\n9ZK5tsPVBK6Q1EOvcE4QYIRCSYFREUGkKcbQsJep5VtIFhhn/ot76nzOwnJEO/bHwCttCwQekuS4\nAicvnT/+hVUkYYmQAaEy15zD1GkiYciDBgElJmqhXCWUUkHKJirrrtbEy4wJXFXdikYLhluAIpIZ\nmVGI5b0oHGkyS7dbUK+FbGwW5BksqhhnFUEDtCyxKEqnqYUBWVbQbGpUXtKuO9wYFlqG3lAx25Kc\nOFuwZ1kTJwZTSNLiSkMBPIJBSsvlXshSxxAq340G6Kaa1cXbny5LKaew/wk6o9frEQQBYRhOJzCT\npllReAX4/btCXjiR8voH2uR5zmg0wjlHFEVEUXRPRfL1Fl47i9qVuJ7r9MQXPseX/+vf3fT5u3fv\n5syZM9Ofz5w5w549e25rX9dve/bsWXbv3g34bvPFixdZXl7mwoULLC4u3snH2ImdeM1jZWWFixcv\n8rrXvW56/5pMlW82TLhZ3KmY64SaA0whrsbcPcVGCIEMa4RZl1iXhCok0AKpfdM2iTXrGyVJAA8e\nqXHqTEqzoRhljre8scXnv7hN1bNndW/CmbNDdi1oZmdDjp8eMhpbOq0W2z3D0cN1Tl50tJveNvKF\nYyPq7RpCwPbQEYqC9e0AIWCUwWiQYXVMswbNyLCZgkXQjB2nLikOroDNHVcfvvVtSbtpAcvmUFEL\n/KCksH4CGinLVhrSjgtM6VGJUCJtSdfWaeEL3dwKcBbylLTRJBl1fYIfJYDzSL2ZXait8zihodFB\nmgLGfZxUiLQSu+ltwe6DMOgCYPOCYLYznci51hxhkcG4oLzkC2odBZjzxxDLq3D6IoQhmBx79hTR\nI2/k0C/9W5LDh+/6nN8sds0JnjgWkraWaTcadJ+5jI3bXFzL2Lsr4viplCefGfDog00Gw5JHjtYJ\nA0Hp4OEjCXEkeP5EyoXzhocf8FP8hbmA82uGeuKHO08+M+b+gzFnN6oGvzM8cyzjofu8belcS/DS\nqYy5jmCUed/zs+tV0awk7Zqd5mdzTUczchy/KFjo+OcMUsnhxZcXwlfDwieaCZOm2CQfuRppl+f5\nFEXaaDSmg7rBYDBF7t2OVd7N4kY1wE4+ciWuzkdulYt8+tOfvunfbjefKIqC7//+7+eHfuiHbjpU\nvj7uuMg+ceLE9P/veMc7+OhHPzr9+cCBA1y8ePFlRfa9XhR///d/z8rKCuvr67zzne/k6NGjvO1t\nb3vZ85aXl/mHf/iH6T7vpOsz4TfXarVpJ+NWRbatFDCjwGKsJJCCzHjrh1jkjNBkRXlHsLBJ3Gj/\nV0PZJ1CWyeuWZUmaptTrdQ4uZby4LglqEdaEZDJipgEHD9TRYcB47G8uUSj40pN9Dt+fsDJb7RdB\nu6loJwZjHc3Y0B+rylfQi345K4iVY1wITLUIGAexBusUUFS+z5aSwIufyZioHFLohBC8nVfhO8G+\nsGwh0gGu1kaOesduVxkAACAASURBVIhaghyNccaAyWDYRyiF2nct/yFN0+nN7DvfCv/xzzNaLW9X\nNjerSfOAJChwUrKdaqTWhKGmn5bU6zHKjbFljT35ccaZPwhKOgKP6J5OcocV/MxaaNa8KFxZWASS\n0im0NPSzkFpgyG1IIC1CBAgMQkDhJA2XMRQJTTsgDxuExRAbtxAmq6pYL4JGvYWwFtpzHkbPRCyu\nEj8bDTHjnLDdxOYFc6uLRM/BxkZKox1Rlo7R2BAEXgCi2ytZmNOYXCOUojSSRl2SG1hsWdQm5LkF\nFIFybPYch/ZLhoOSel1RE7aCX8HA06lRUnJhWzLXMuSFQGsvDDfM1TUw+ju53icNI2stRVFcw92e\nFOFlWU4VyJW0nDybsronnnK30zSl2+0SBAFRFKG1vmO1/qstvJxzd89j/BcY13OgXv+mb+b1b/rm\n6c8f/w//0zV/f/zxx3nxxRc5efIku3bt4o/+6I/4xCc+cZPXdre97Xd/93fz8Y9/nA984AN8/OMf\nv+0Fbyd24msV10+y09SP6sIwvOOc6E4n2UVRYIyZKom/Gurk4NXCI1sShQYdag8hjyTDoaDdDrl0\nMWVtbcxsw9LPHXlW8vkvjji8WqfbKxilhuHIsNUt2eqW1Ooho7Gl2VAcP+2nvUGkmWlb9q9ovvzc\niAN7Iy51YXFWEJAzTL1d6tKcQLuSJBL0C5htCl44XbK6Apsjh5ZelFZIaIRmuoYJPLotKgSdxLI9\nViw2CyItmFCmHZKsVEhSpA6w1TpsZUBZCpwrEGENm49QUuCSZtWCBxfEiGKMVBoXxFOBWJT2+Ggh\nEUA5vxu9dhqjQpwYIYsxrrcJgKwlyK3zlLrpN+3M4E48i+sswoV1giMPUZ46DoApLSIMCY4cZfTF\nLxEdPsLKv/oFVKt91+f7VrHQVvQHDeqHHuY7R6f4P15oMdMJOHMh55EHm5gi58ln+tPnHzpQ5/gp\nTxW473CT/sBQrylOnPONoN3LCaUVrK+PeOFkpXkTaaRwHN0vefqlDCX9wKddh3FqKUqY7Ug2B45E\nl6wPQiZOMMN+yfysX7cbseXkmmK+5TBO0kkMmwPJ/KGb5ymT6XYQBFhryfOc4XB4DXd7Mq2ePOd6\n7nZZeiHA8XhMGIbTfOROYvKaO03/G4e1V47F6x7/Zl73+M1zkVeK28knnHP82I/9GA8++CDvf//7\nb/u173jcY62dJr+Li4v8/M//PH/913/N7/7u79Lv96fd06vjXqYZ4DvC4CHl3/d933dTXvZkUYM7\nW5SuVvmcXMC3VWRbrtgCODEVjsxt5Y9MeMewsJvF1VZdky+d1hopJcYYRqMRtVoNpRTf/MaIIncU\n1nNxrQqodyJW5wu+9MQGOvDvp7udEkeCrHDTwnu7W9BpabSwSKVpxH5xSdOCeuyQWJQSaOkVG/MC\nlLCUNkQr5wVD7JVkPEMTYBjjFcaNqITgEF7VW2mkMV71u8iwYaWoVYnDiaSGkBrCEGcN6sCVIjvL\nsmsaI0dWY5qJZZw6wjgkywRSKcIoZHvgqDUCRjYiaSe40kEcESQaAsWqOMNo7FASxmNDp6Vo1zzH\nW+AYZYJ67OiNvOWVLS1KetXxwgiSwLAxCglVyfY4QgpDasIK4uynFlI4MhEirVcal2XmlcaLDOKm\nPyrOYQONMCWuNQdF4S3PKm6XDKqCryjQZowbDTn6xgNIW5LEEucgigLy3BJFim7fkRt/vdTqCuMU\nhdMgFSJQxIFhuWOn3pwT1W4pBS+eKjFOEkoPnRc4LnUlQlisk0QaSgvbQ+kh9QqSwHGva8Bkun01\nd7vX6zEajaZdYSklb328yX/6wzM8+2J/On2eKIFqrV+mTH478bXwvfx6jjtVF9da89GPfpTv+I7v\n4MEHH+QHfuAHeOCBB/jYxz7Gxz72MQAuXrzI3r17+chHPsKHPvQh9u3bx2AwuOm2AB/84Af59Kc/\nzZEjR/ibv/kbPvjBD35Nj8NO7MSt4uoiG5haA93NveVO85nr6Wmvls92lNQJZE4oDIEsCUOFDhSt\nVoBEsLIUcvhgg+5IYK1Aac3yUshLJ8dkuePooTpa+/d038E6L530ueTB/XWK0rEw6wurzfXBVHG6\n1QoJA1icUZw4WzDb8Wtgp+Y4frag1fR8XSm8Q4iUgqW2IS0mRTWcuOih5HFgObeh6NQ8vWpC5wqU\nY2Pgmwa+CK8UxZ1lOw0wxiKxDExIrCqYu6hsqbCkqrIphWqKDcI5THNuSrsjriGMz49dXEeqKi8M\nYphbmtp82VoT1fUca7u5jty9ishG/mcZovesolwxdR8pLq8Tra7iipLkkdez69/+u9e0wAZ47JBg\nbGLSeIbljuO+QwlpoTi0muCcYGPbcf+hBAHcfzjh+Cn/Xlf3JZw445sph1ZrFIXjwJ6Q8ajgqWe7\nzM1GnhYgYKsPKzOGNPfX7Z5ljVKQjjLWKoclh6BTK1DKn8f5tiAQJRt9Rz/1KNNhJiiNoJE4Im0Z\npY4ocDTi2/s+TArnq7nbEw72BDV3M2rbhLstpWQwGNDtdu+Iu73jdPLKYRE3fdxJ3CyfOH/+PO95\nz3sAP+z9/d//fT7zmc/w2GOP8dhjj/GpT33qlq99x9WflJIk8TeRf//v/z2/93u/xx/8wR9QFAW/\n+qu/yqOPPvqybe5lmjEajTDG0Gw2GQ6H/OVf/iW/8iu/csNtV1ZWWFvzN6fJBX+rKdREKfBmNhqv\nNA03zvtFz9Q9VNwXlo7USGrKi2TdbYF9/aI4EU6bTOYmEBVrLaPRiDiOp/tq1BVJ6BiNBWUmKAPH\nrAzJBgNA0R04VndrTpxNWV6MWZhxgOcqnV8rObg/5tJ6xvxinaBaINJSUY9hMCqpJQpb4YPTQlAL\nDYM8YK6WMc4VYVzBOJxjbDWJGDG0dWac8cJb1XGVzmGkQpsRZRgT5GnFPQJRnQsZaBwWubALmTSQ\nTb94TLqE9Xr9mvOzex7OXnaMxwabG9oNGMUabQS6HuCIKGwKUYSSjrRwCB2xHGzwdwPLbFtz4mzO\ngT2h95sMFJ26ZZhJZpuOs5cl9+0q2R465toKa6CwkARebEFJx9Y4YKlu6GUh89FgKvhmVAQGhLOk\nhIgyI6vHxM5iwxiZDbz4mzBQFNi4hupt4maWEKlfZMn9v6reQFLg+tvI2UXecDTlvzxT0mxJylJT\nOEtZWKwVSCRZIRAalFAIFP1cE6gI5Uq2NkfU23WiALYH1XVvLXkJo0KS9jKCekAzLumlAbN13wme\naThi7RXXAYpS3JKPfaffgYnegDEGKSV5nk8F/8Iw5N3fPMcf/+c1/s3PrCKlm3Z+r4agT5TJb2e6\nvbOovXLcjZrnu9/9bt797ndf87v3ve990/8vLy9f04S91bYAs7Oz/NVf/dUdv5ed2ImvVezatYu1\ntbV7mmBP4naL5JvlM6+GBRiACjShdASqIFCSMPCPLJXoUHPpYkYjtuxeSdjeLtjYGAOS1z3U4NJa\nxj99xcOjd69E1GuSh44kSOHvu4uzgtmO4itP9ajVJKcrXnZeQjsx9EeV93YQsm/JMUot4BXEVzol\nw7HEK4dqTp0v6HQij64aQ6vmbTfnm4aLXc1SXKKvSvecE4wKxYwtiUPPz1bCgtAI4QFmURCQFoZY\n54iwPrX4dDqkLEpiU+Dihkeh4QtFU5YEzniLV+Fn3SLP/ZpeVnjmKCHoXsIkba8wPruMPPsiNqqD\nG6NFQX55w+/LlASywFYTbpodgriFuHCC4KG3MPejP4kMr7h7vFYRaIjigCJvoGbmqR8/ze7F3Zw4\nPWK+o7i0nnNpHQ7sj4kjxeHViP7Q0Gpqloyk2ZAEGmYbMBoVnNj0zQefr5es7g5I84wXzhbs3et5\nr52WZm0jIwoFvcxrIQXS8cxJwwOH/GduJZZj5yTzbUFWCubrJdvDSuxXCLCOKIRmcndouyAIplZe\nEwvZLMuuUSaffM9ejen2jj7MK8fVk+x7iZvlE7t27Zq6nrz1rW+9K6Hduzp7o9GIz33uc3zmM58h\nDEPe8573TH3GbhT3Ms24ePEib3vb23j961/Pm9/8Zr7ru76Ld73rXTfcT6PRmE7Zb8crewIvvZEX\n9u1ArEoD/VRirZ9iG+enfaWV2KtEsO4mrt73RDhtskiHYTj9fKPRaCq+cHUcWoKilNTqIbkNCVsJ\n8y3L3GzIYGTJ04Jx6mi3A06d7mGdZNccDFMIA8Hp8wVZIRhXNgv9kaCeCDZ6CoRklPrfm0pl+/Ig\nQFQ8bVnRlJQSlE7hhPKcJukF4Qh819cFMQjhVbWhEj7zlhw469UnRaVoXqsjF1em5+3qyf3V8T3f\nUmM4KilKSEuBFZJRCmkhsTrGGkNOiE5ijINSRsg4RpYp9fE6kSroDRxBIDhzIaewAuVK8lKgpCMr\nBFJYLmwGGCfISs/VlpW8vHUKhz83E+iZqZTGy0pN3KjId7edm3KujKgso6JqgTSlVwhJR9BowXiA\nrbWQ6RArJCoKsSoAKRFJnfe+q00gDcI5eoMSY3xioHRAGGmy3E+fhdYEScD2WNPPA3QgOHYqZXso\nWGwZtgdeGO/ylmG2JQgrKzOHQAvfqW/EjnMbkmZsyUqvQq+kIzdQew3W9wlFolarTafbZVnS6/V4\n7OGIf/Mz+7w3+i18Lm9nun2jRW2nyL4S1olXfOzETuyEj5WVFXq9Hu9973vv+R5yO2Kur5TPTOJu\nC+2r8xGlJKHMiUPnBdAiRRR6E6tGM6A7EJy5kDLXFty3mjDXEnz1mQELcxG6mjjOdgK+/FSfJ5/u\n4ZzgyWf6nLuQTX2uD+2vYwzcty/k3Pkh5y9mnF/31Csp4fljQ7aHlZK3FDx3PGNrIAi1oygMYeC9\nsOdalnMbglZdUAt94xg87e3chsTiEWZbY4nAUhjHIFMYK0gC75edVPSn0lVFvjD0bYxylXJ4lUZr\nV5IHdUTpJ7VGhn6Mno9w7UVEXnGtpIBiVGnPiCvFelHA0j5UZQdW6hixstuv85lv1CgtEOkIM8lz\nl3YhLpxA7z/E3P/wvq9JgT2J1dmMga2hZxd5/Z6U0xcKZtoBZy8VPPpQi1oiKQv4ytMDXjw+ph5r\nnny6z7lzQ8q85ItP9rm4njE743PXWiw5c6nkyH5NqB0X1gqW5gM2e45GTbC5lXNh3dBp+aJ0z7zj\n2eMGAWwNBbNNR2UbzkxL0KlZtvqe6iZwCOE4t+kbMQvNu3MlmeTcE7GzGymTT1B1r8Z0e6fp/8px\nJ8Jn/3/FHY9ZjTH84R/+IX/2Z3/G7OwsYRhy7tw5lpeX2b17N8aYG97g73aa0Wg0+PKXv3xH73Fy\nYb7SgnI7Kp+3eg0PR5IUxheahZWoqth2MiDU99Y9nogrZFk29cK+uls2Ho8RQhDH8cu2ffsbIp46\nXZDlgsV2jcE4Y25Ws7on5tzFMclMDDgCaVlbz5lbFDTjHAgwpUEpiAKHMN6uaZx5OPBGT7BvBSyS\nRHmbK2u95Zd13jvaeyY7pJAYa73tlDGUKvb2YDpBZz2vpm1ynK4srOodpDVQayOKHKdDhMmwNkQK\ng1jci3OO4XB40w7gwmzEXGtML7PUO8rzkq2DMGCUFlAodKBpRIrROEaqEaESpLrGXneaYbxUHfyS\ntU3L7KKgnBK1Ki9MISmt90fPckEUX+moZaWedsATbZHSC34Irog0lDIgpMTELa80LuSVm0Jl+UUY\n+43GA6zW6GxEsbifcNTDqgTtMpyKUHsOAVCraWZqjkFpkEIhtWI4crRakjDUjMYFjUR62H1ekNmS\nQGlCChbnAooSxqMc6xJmm4ITZw2H9ykCyv+PvTcNtuyqz7t/a609n+HOY0/qlnqQ1FIjATYYGxxs\n2cYJyMFOxaHqReUX27zYFFVJXAxlp0IqKccJpBwbHBfwwUaVig1lJ5hgIDEFOKEMAoPQ2FKrG0k9\n3qH7jmfY01rr/bD2Pn271cO93S2B7H6qTvXte8+wh7P3+k/P89BuCTSWsqzVNS0WSRSUHD+r2DWh\nkUI4q6/gxlpq5XmO1nqg+glcwN2uRc82+mpfzudyM93tm4valaFvUOX4Jm7i7zqOHz/O5z//ef7s\nz/7sutW9r3YP2iiIeql18UYl+UVRuK6uMoSeJg4C+oFFKkkYCGwp8MYCWong9FyPpXN9JkZ9okjx\n2FMdJsYC9uyM+NbDTuArjhQnzrgu5q7tMSdOu5+DULF7xiKlYW3dcNstEaeXYM82j6eOdhhueaz3\nYHwEnjuZMT4iybRg+1jJs6cFt8xAv7RI67RGQh/SXFP3lUrtVMSz0oliraaSVmgIfYEpLFjXqMly\nyXBUIPChSoaN8CmMRFCCH2OqpBrpkRsIixT8CFv03RpeFpQI/KyHFdI5qxQauqswsR2xsuhen/aQ\nUYSpxsBV0kQtPk/RnHB/37kXcfwZrAW9MIe361bKLEWOTzL8q+9Fhi+MA18sFEXBVLvgyJmInj/E\n5MQpDt6mOPw9w9REwOJSyd7dCUurrhChpKMl1hDKAzRBIHi+4mXv2xOztFryyBNdZmZdp35yPMDv\nOi7+iXnXiEgLwdSwdq40wPSYO6dLyxlRVeX3PMHpxYLJEclSD4YblufmHfWvk0kmWi+ktW4GtftJ\nWDVDNnK3tdYURfEC7vb1dLdvFv2vjJdDPLLlTvaXv/xlPvWpT/GhD32IBx98kD/8wz9kZmaGj3/8\n4y/G9m0J9XhpURRXTJA3qnxe3AG++P2utDBmhQQM/dz5G+elHSRi2qpKPOv6Ksc176MWYKoLGFmW\nobUe8JEvRiNRNKOStBCcWXLVWb8R4OsucwsZnu8RBq46qJTj1vZ7bhFZXSsZGVJIU6I8SSNw/KZ6\nRByrCRyV2QmfVf7WWWFRsqDQ7rjUX68cH19qchmhrPsXU0LV2TXKR1rrxEPKAtMYhiJFJG0k7pCK\nog9js/R6vauetwM7XVVaSEWna9yImydZWbfIZoO8BKs8rO/jRSEISTQUMcsZsryqWpeuc+9JS164\nhSLPdbWfgqEEQmWJAlcVLyvh1vXUoxGU9HVI6GkQAUrqarTfoqzjpweU5EHT2XJFbaSpuFq2HkHz\nXSs6Pm8RIOOG+240WkjjFMPVzHnV/je9vsn6Wo60xnmY+oIsM+RGYYRHaTxKqzB+iEUhpCTNLFPj\nPlPDlppMHQVumqDVkDx/uiD0oR1rZKV0nuua5werPWeRsdZzvOwbOS5ejz5e7ju+kSsVRdGgu70Z\nn8vLdbfrsfSbuDSsvfLjJm7iJpyP6lvf+lZmZ2d5zWtec0PGta/kOJKm6SUn2jbz+s2iLmqGUUTg\nSSJfE/gQeE74UikBymN9XaOtoNn02bGjwam5nLHxmMnxgOmJgIe+s0qr5XHwQJNXHGwx3JbsmAmY\nngq5c2/M/t0BDz+ywuFnOgNbp0bD59btCiWcavTUuE/ow2gDun0YbivaiXUjwUAUSFpB5mIyXLf6\n+IIkK51f8uklp1xuLfRSAEEcGBbXfULP9cK0qZw9cB3tem3ulk4V1ZQFXROANSgBuRe7Tr216Nip\nZkvpYdoTbh0CSNoullGBK657HqJIMUIiWsPIMoW1JfACVFl1vkuNGJ1EBlXi1WhDGCJ7y9DrMfz/\nvR/Z2uC1/SKj1mVKkoTxIY9MNTDNUXbHC+zbE9JuesSB5ZEnO5w8nbJ3d8Kr72mzuubG43fvSga8\n7Ntva7BjxmNy2LK0nHH8VMbO2YiVNXesA1+wfK5HI3H73ohcjHT8VFbFmTDSlvjkhJ4gzR1ls9cz\nrHYEUjleduxrCi0YaTrdnaFk69dBURTOwecy8YhSahCPBEFAnufX1d2uY/yNTYObuBAvh1hky9Fk\nXbWpBWh83+fuu+/m9OnTN3zjrgUTExMsLCxccUGqq1FXWpDg6otSrgWBB2up4yi7kZSqUmoEvrr+\nRa2uaHmeN7D9qC/2i/nIF2PPjKCfC+LEp7AKzw8JPJcwLi4bdk4K5hYLpidD2mFBGHk0Y1jrWNpN\nxdxCBkJgKuuPfuaEvtLUEgSKPDcUGqrlg8KEhB7VuJUZLHC5UQRoekRIU5JVlle6VuOUEmkNOogQ\nusCECeR9bC0gEoSI4Qky487fRoG6S+FnX98gzw2rqwVrXcPyihNcK4wLQsIkojQC5StUo0EntQSe\nZDLskBWu+HxqvmRsWBF7miTx3U26Gjs6uyZoxYasgMBz3XuLS7bXc0Xia5Z7Ab7U9MoAicbgVQme\nIBM+ni3pyQRlcvKghSxzbNh0o2YWZ91lwbZHsUWJVf4ggKCaXLDGIkfGBvv9mlc0GRsCozXnlnPO\nLRcUuWa96yxISiM4ezanxHdJvHTj9O2kpNfpEoYKKaAs3PlW0rK4bPECjzzVICSBZwe+4G5Bcyr7\nJ85JCs0NS7LrsawrjT7W2Ohz2Wq12IrPZRiGtFotGo0GWmv6/f6AnlFfuzcrx+exVeGzm7iJv2/Q\nWnP//ffzvve9j9HR0U1N1m0Gl3McuVHxzNWgtSYIAqy1NJKQSGlCX+Mpg+cJ4tgn9ATNdujssowl\niSSvOtRmdFjSSFzMYC2srJZ0u5qHvr3C957rkqYl33p4he8+vornuam48VGfU/MlnnI6Jo89uU5W\nKYRLJRmKS9KqKO77HrbIKU3tmSw5dhqy0jmjnDlrCDwngtUMNKWRtGNL7FlqNzVjBGkpkcISBQJd\n9xSES861NgSeW0dDZd2kXX1wvIDcgoeFID5/nIVEWyfDZAEbNqrfK+zEdqjfIWkj0jWMH0PWh9lb\nYNXxsE1nDX+oiag8qWzcwms1wA/w3/QL2JHxlywBu3iS8O6dgn4ZUTaG2d7q89SxlH5qOLOoOXh7\na5DsfPM7q3S6JUMtSSOWTI0KQqU5u5Tz2JMd0tRyYs7Fpq2WwlNw+27Fw0906PYMBhcDTI8LTp7O\nsJaB+FlRGk7MmYEg3q4Jw/PzAE78bKxRklcJeSuBqVa5ZXHWjYWFqxXh66m6ZrNJo+HOdx2PFIU7\nhxsVwzfGI1EU0W63ieN4oD+T5/lAyfymKOuFeDnEIltOsvfs2YNSit/7vd/jj/7oj3jve9/LRz7y\nEd797ncDfN/tbmrxs8stKLUX9mZUPq+2KBVa4AnLWl9SaounzltaSeV4utdy89vocVlfVButuvr9\nPo1G46oX+4+/MkKXlk5fEDebpNZjelwxOx0xMSKYX0jppZbhIZ/Hn1xBSMl427LStcQhnJhzXelO\n1yVdeWFoRIaVjkRJQZoBONsLTxpWU8elWelHYEVVCXYq58KW9HSAsMbxs6vxYsDZYxhNKT0oMrTy\nEda6RBBnJa1HZq5YRdyIIFDsmIBSGzxfIYRkrecW29JKVjIF0kdLhfA9ChEhfIXRJWFngckRWFy2\ntJuS+UWnXBnKgtJ6xKHl7Joi9DVzSyClJc1dUSX2DeC632uZ62Av9UKsNZSm2hevUk3HkhKgdEZf\nJYgyowybjovtOS6XMK7wQFnA6JTzEYdBIUdEMaJxYQX7lhmPLNMUWUmeCzxPkaYaIX3W1kqyAnqZ\nQAU+ufGcp2RsOXI0pTCCiXZBv0qeV9fd5xkkR48XZFrQ8Et6uVMYP7sm8T2DFOAp52fp3YDL/0pa\nA1fDpZRA62ryZrrbtRdmt9tldXV1sCjehIO14oqPm7iJv+9QSvGpT32K97znPbTbbdbX11+0JPtG\nxjOXQz0mvpGuE0UhoS/wRYEShiBya4n0PJJI4kcezaZPt2f41iOrGCN4/mSfp7/X5459LXbvjFhZ\nK6iH48bHIowBTwlOzbt77vbZhF2zPrtnFd99sksYCE4vaqSALC05djxjpVPFEFpzYk6z0hUoCacW\nSgLPaeZsG9Ws9j1GW4ZmWNKvbDlD33D8rMRTtaZIXYSFsx2PvLRIYVjp+8S+04bJq3XcI6drE8Ja\nTqaaylOmJA/bjvYGGD8EaxG6wLbHB2s4QoDJByJpNIeR1mC9AIbGnVK50VjPRw6PInurmBWXdAs/\nQK0vEfzQjxMfvJcsy1hfXydN02sSZtosNlrI1utyHAm8wCPzWoyMRLx2X8Fq1zIxHnD4aMprXjnC\n2nqJqbqL05MRjz/V4dSZjJnpiFNzLs7dvi3GWkdXV55HIyhI0xJjcIK8Zw3bJ0BrF2/tmPHRBnZN\nGp4/XY3xI5kcMuSVGvn4kKOvPXPc0EmruBxDoLZ2jOp45FosuJRSxHE86G5vPFd18e1K3W2l1KC7\nvba2Nki2b8Lh5RCLbDnJ3rlzJ7/7u7/LV77yFT73uc9hjOHd7343999//4uxfVvG9PQ0c3Nzl1xQ\nai/szdpoXDXJLgVSOn5qaTyUrBJvCZ68Nm/KjZXpehsuVhKP43hTxYwwUAzFJcZKFpcNhfHYszti\nZtLn299ZYnzc8UoUJVluSQtJt5OhtfNeBGdtoSQkoSHNIQkFc0uAgF7uup2lcQJZq32FwNGNpBTO\n6ks5WymNwgpBiUQJg/VjpC2dfQU4D0khqtnwC4ULRNEna45tqrBQ44cP+m5RyARBKPG9ysprVYPy\n6IuQIPCc3H8YoYIArS2j5RztuB5VguNnSrQVrHc1vVwwFNcLtODcusJYy8KKpdBQ6ZUMBFIEzjfa\nGEOmK0uQ6pIzqkoejaFnfESZUcjqWISJ+1eX4EmULrHNIchSbNKCwn0/lO9B40Krjp//qTa61HgK\nfF+QZoYoFGgNaaFQniTLoZ8ZeqWiwHdTA0An9eisZaz1nMjb8TPu/HrSibj1c0GvX1JoQTO0LHUV\now1LJ5UMJfaGdbHzPB9Uda8VG7vbNZ97M91tYwxBENButwdV65uV4/PQ5sqPm7iJ7weuJgp2NXzx\ni1/kwIED7N27l//wH/7DJZ/znve8h71793Lo0CEefvjhK77fgQMHAJiamhoU/a83AbqU48iNjGcu\nhXoUfaMVWB17RIFEkdGIJXEgCX1JEDhVZ2kty13ICrjzQJvDR/sc2DdEEEoWljKy3DI9GbL/toR9\ntzZ46phzdGF7ugAAIABJREFUzTiwt4mUgjtui+h0cp56ehVVyYDv2hGhlGDvDsGR5zJGhiRrPcGe\nWXjyWMHYsKSXwc4JzdI6TI5KWpEdJNXNWNLrQ+C79+v1DdpItBEkniWtRE2dHRgV/cn5ZUeewfec\nvRi4eKawHooS6UeDUXKEILMCWWagfKimAEWRUaoAkVfz755rOJD3sUMTiCr5tsYi20MDCh7NUbzu\nWawfYteWETM7EauLyN0HCH/sZy/omFprWV9fp9vtDjqjNxK1PsrFk4QHZiWpbZA1Rrl9dI19tyZM\njke88mCDh76zzOp6yd23N9mxLWTh7HkutKj0Z5SCxSXN3ltC7toX8cjjq5xZyNHVxOPO2YDZMc2x\nZ7ssLrvXJrHHrklLp6spNIPY++SZzPHegZEWnFksGWk5EbxGaDixKNk2urXrsP7+b7XgvxEXd7et\ntXQ6Hbrd7mW72/U0XRiGtNttoii6SWW7CC+HWOSazthtt93GZz7zGf78z/+c3/zN38Ray9ve9rYf\niCrLzMzMBUl2faPZ6IW92S/q1cfFndKk+1kiBOSlRErHV76WRa226lJKIYQYjK4aYwZjOvXY+Gaw\nf4dPPxf4oUenL+llorLVAM/32DHts95xqp2espT1iHdu8H0wZUkQSGJVDCq9tpKcCH1chdcKXIFP\nUlpJHBgQqrI1c6qjeC5h0sJH6pxchGAKTC165lf/BpETK2kMgS6xykNkPfzpW7Y0JfHqgzGmKNB5\nwcK5knPnMjIdUGiLEYqUiG4GmZHEiU9qPRqtgFl1lqxSVC8qDrYVitU147zQa859xUtWUlYde0E/\nc9//tHTbqa0i9k1183TbVQuk5dLdsK0KCKQbxdaiTsDd+S2VU5MXeYrxfUTaww5PQr+DBUTZh+TC\nJHt8JGDnlGR1Pccaw9JKydJSTllaMi3x/IDQt0jfp7QK5XnMnysYaStC33JuuaiERdy/Y0OC5eWM\nyRFB6A1ETmmEVeASGU6cVTQiSxJe/6Jei4BsZmJhs9hsd1trja6CovoavNnJvhBXUvP8QVL0vIm/\nX6gnvp544gmOHTu2pXVXa8273/1uvvjFL/Lkk0/yJ3/yJxw+fPiC53z+85/n6NGjPPPMM3z84x/n\nXe9616bee2ZmhjNnzmzK7eRq2BhPvBjxzMXYWPCvhdvqxF5rjSkzklASBhbfgyCQ+L5iqCnxQ5+x\ntmTbdMjZ5ZJXHGxzdqngFXe2SULJ6bmMw890+d5zPdY7JZFvGGrAymrG/HyPtfVi4KG9tOrWmlbD\nI1F5nbcyPRGwbUJQFu7v4yMes6OWLHP72IgEuijwvZpbbVlclVjhnDG6uT9QFF9YFeRV8Xhh3acR\nGsfLrg6XJw0raYgUrpquZSV8ZQp6xIMOdS591ygoUsp4CIrU0b6C2CXcaceNjGeVV2ZvDZs0oLfu\n3i+IkOk6tqgmGVtDCGswUcv5bAsLZUn0c//vYKKtPj9xHNNutwfWUp1OhyzLbkiyfTnLVIBdUwJN\nQBG3aMUFzz63ztp6wRPP9Nl/W5M0Mzx6uEMj9gh8wR37El79ijaNWHDn3ph7bk9YPNvjicNr9Ktz\nN9JWnJjXxKEgCuDJIykzk96Aoy8wPPp0n0bDJeJTY4K11Yx+5pTGhbCkqaHTF4wOuf8HFBQaJoY2\nfzzqUe0bGY9s7G77vn/Z7nadT9UCrkKIH4gc6wcJL4dY5JqS7MXFRR566CH+63/9r3z0ox/lG9/4\nBq973ete1FGVzWJmZobFxcXBBbFRoXurlaCriqdlZlDZ7KQKKu0oYwWBv/WTXJYlRVEMOteNRoM4\njgdJAWx9HP91h3yMgW4q8eKIKIkYG3aV2m5qWVrssHBOMz4a0O+4m9ZIS9BLLWNDHqfnMoR041lp\nXus5Ql443pLRbiHyK7uyuuqblR5SGHTV1dXCA2spVeRsoVQMZUFecaiMdH+3QYQwGtMYRhQZOm5j\nkxZ+o7Wl/ZZScmCXh9ZQaIm2ghJFWvh4vk8QSEoVoWVAGErWC5+4ETLlL1PzpBbOFXgKAmVoNiSe\ntAOFzPV+7Y3uPDhDzyKVu+GnuUVg6BUeiV9ihU+gnIBFZVBGZpUTgfMTAltiohZeZQlSWyGJ2s5L\nqkppfB0bNyHtQHsc4SnwXlhw+dF7IiJfsLSUYa2g1IJe31l4GStZXtWEkYfyFV6gCGKPqckQZTIm\nxlzyr+z5xe7YCUOrIQhERuxo8oNijACyUhJ4EKnrW8w3Tmq8GBXbK3W3a3XPJEkGI2Gf/vSn+e3f\n/u0bvh0vZ9zsZN/EDxqOHTvGBz7wAd7xjnfw0EMP8ZnPfIalpSVgc2JB3/zmN7ntttu45ZZb8H2f\nX/zFX+Qv/uIvLnjOZz/7WR544AEAfviHf5iVlRXm5+ev+t7T09NXpK9tBfV7GGMGjiM3Kp65FDYW\n/KWUNJtNwjAkyzI6nY4baY0lgSrxPYHnu+k1bRVBICmMEx4dG/b47uNrzEz6fPM7Kywul9x1Rwsp\nBftva3JmPqPT1UxNRpyslMabTbeu7dwWsbis2X+LxzPPdjk1X9CvmqFJJHn2+e5AkDMKBc8e7w/+\nL4Xl5KKlMJLIt8yvAFi6mUSXbjKtnYAnxKBoLCnJtCRQlmhDDGeFJC0dpcxTnhOBtRYrFalWWF0i\nPJ9CW5QUIBWF8JyXqedRIhBKuYS5MeosTKUH7TFHB+utY6WHSJ2POJ1VmN3t+Nm44ryYmgE/JHrz\n/4NsXlroTAhBGIYDq0utNWtra/R6vWtO0DZapl7u+zbaUqSyRTTS4g37cs6tGsZGfY4+n3Ho4BB3\n397gqaNOdPfJpzvMLWR897FVHnl8lYVlTZ5bkljyXKU0vnNHwi2zHtKkHDvufjcy4ho1+7bDI0+7\n4k83dRS1RmA5u2KZGZdkhWC6rVlcPc/fH2uUWAQzwwa1yUvmasKr14srdbezLBs0G+oC3X/8j/+R\n//bf/tsN346XM14Oscg1RbL/9t/+W97whjfw3ve+l/n5ee6//35+/dd/fSCK8f1E3ckGBiPWtUL3\nVhPUKy1Kee48lK11StarfYW2ohqtFQRqa+Pi9QVdj6TUpvee5w1UxWsl5FpAYTPv7fuKkViDVJTW\nJ7eSuw4kvOJgi9MnV0FAt28YaUueeqaD53u0o5L1vuNln1pwFlNrXY3FKYxLYVntgO/BesdSaEFF\nQaKbKQLPsJZ6gKWsPKK1gUBo+jasFLZjpNVOZRPQlSSg9kOELtFhgs1TTJAgxrZt6hhejJ96TVQV\nfgRJ4vhhfhiAhfXU4iWRE4SLA6QUmCBEmJK4WGGsbVjpCMZHJCsrBc1EMZRohHDCKMtdwXDDstZ1\n3tASx8mPPIvBI/Y157ohvsxYzwI84ZJtgeucagMBTvzMtwVF0MIzOTZsYAtXrq3XMxtGbhTdaKzE\n8dXbo5BceqF97T0NhCmIY8eJjyKPvLA0EsVa17jzZSWNpocWHo1E0WpInniqQ5Ioxlpm4N9tjMZY\nQaPhs3jOEPiSRlBQVMWGblaPEVrUdaxDNd+rtr14sbGxux0EwaCKfOTIER5//HGOHj3Kxz/+cf7N\nv/k3L/q2vJxwLeri1zqK+/TTT3PPPfcMHkNDQ/z+7/8+AB/84AfZvn374G9f/OIXX5T9vYkfXMzN\nzXHmzBkee+wx7r33Xt7xjncMRAxrbCY4PnXqFDt2nHdp2L59O6dOnbrqc06ePHnV956dnb0gGb9e\nG69agCkIgi3zQ7fy+RsL/nUyUMcgUsrBv0KneBSEfkngiYqvK8gKwXDbY7UvmD9bcujONk880+cV\ndw2RpobHn+py710tBBWv1xesrLkgYqjtcfT5jDiSzEwGDCea9fWStXVDHArmzll2TEmOPNsnyy1r\nPUHow8JiTj+D9dSpSD8/50a/V3uCVlSw1nNrdisylFoAzjv7xDlJEgl8ZTFVU8CYgoV1byBo6+IZ\ng7HQ1wHaWAJl6NuYqOL4WuWSQA9LGQ/jVZZfhAlY14m0yRC2/r0KsFK40XEsdnIHskgxUkGRO8eR\nNVcs0lLhr5/F27UPb9/dVz1/tdNO7eUspRzEjjUda7Pfl83wke/aDamOyaNhbpnI2Htrg34m2X9b\nQppqTs3lHNzfxPPg4O0tTpx2SfKttyQcP+V+3ru7QV5Ydm8PyNKSJ55apd30Bt7X6z3YPc3AyWWo\nKVjuQDvKWOm4YzrUUsyOaJbXdGWx64otTz/vJgq3jW0u+9qK8OqNwMbutud5g3jk4Ycf5vjx43zt\na1/j4Ycf5ld+5Vde9G15OeFGqYsvLS1x3333sW/fPn7qp36KlZWVyz5Xa80999zDm9/85k299zUl\n2ffccw+/+qu/ym/+5m/ykz/5k3z5y1/mjW98I3/zN39zQ7hH14Na+KxGlmVX9MK+Eq4knlaWJdp6\nFCXEgcVY55etpKUsBb63+SS7LgTUCfbFVl1lWQ662pcSULja8b59pyLLBN2UalzK0Otr1tc1M1Mx\nSjnVcHBqfadOd+j0QAlX+fQ9gRSCyLfkBTRjOH3OVRDnlp39lxOktqylCl9ZznXc2FRR1t19UNLx\njyWWtEq+EQKEQOKEvkqhMHlKKT1E3kcFIYzNbu6EXYRt0yGBKFHCsHBOk6Ul3T6cW3Oj3HgefhJS\niBCUwnoBFkG7d5rIy8kKQbshOXa8IAwkWb+gtILhxNDPBM3YcuKs6+Ku9VweLLDkGnwlSLVP5FvO\n9UKsKVjP/EpkqxJJEU78zDMFPZUgdUHmN5E6xyrfVbjZkGQPTyLqr1MQvmBUvIaUknv2+6yuFujS\nkuaGNNPkhUWjMEjyEjQSgpAkhl63QBvHk5Imx1Z8qTR1H6gknJg3COUhjcEIhRCWNUeloywtw41r\nv+7rsbbaf/KlQn2/8jyPZrPJ4cOHectb3sL999/P/ffff5MDdRG0EVd8vOD51zGKu3//fh5++GEe\nfvhhvv3tb5MkCf/4H/9jwJ23f/Ev/sXg7z/zMz/z4u/8TfxAoF5Tz549y8LCAr1ej23btjE9PU2z\n2eRVr3oVzWYTY8wFGgyXw2a7VBev5Zt53fT0NPPz84Nx9uttQmitL3Aa2Qo2u5+XKvjX98E0dQXg\nJElIkoShoTZxYFGiQMiSwLcoTzI2rDBWsGPaZ++tLY48l3HHviaPH+lz76Fh7tyX8LePrPHYUx2K\nAu492GZsWHLn3ogDtyXMjEnyNOfJI13OzGe0225/d2wLuWVWkfYK1ruWkbZkpWOZHNKcOWdpJYJO\nX6BsQTeF8WHBSMMMbLqGGnDmrCWp5D5cQO4ofoGymCokFsIj04K8dJNsWSmJlMbfEEdKqehrhS81\n0gsw1QSclIK+ESjraGBWuNdIo9FRcyCKZqPYCZzhFMOR1fkJEsTUNhAK0i7GC/A656A5jHr1G7d8\n3q9Gl7oc6sJ37fl8JTRCgR94FGGLZmxZmFtnalxy/GSK1o6G9vjTHXZui8HCHXsTdm2PGBoK2DET\nsH9PhPKctdb6es5Tx1wHP2m48z41rrBlweNPdwe0xdlJn8m2Zv6s5txadezRHHkuY7jt4pexluX5\n0xoQlQje1WOUSwm8vZSoVfybzSZf//rX+ZEf+RHe+c538ou/+Ivf9ybmDxq2EotcCb/zO7/Dfffd\nx5EjR/iJn/gJfud3fueyz/293/s97rjjjk3fT68pgvylX/olfv/3f5/Xv/71PPTQQ/z5n/85nU5n\ncCP+fgoFjY+Ps7S0NOBj1yOi14JLLYp1hTeOnRqisRB67sJNc4mS0C8V3iY72Rs9LsHdEDdadV3M\ng7l4xMQYw/r6+mAc6FKf99pDAcZoslIivZChdsDcglssrVTctt2jU3lkB8rgVfM0pjzPTU4SRTvW\nlFYSenZgZ+UrSHyXXia+pdCV0JmVIESl3OnGXYz0QQi09AmkwQaum239GIx2Vl2Vn6SVEqELx/0a\nmb6Gs+dw7+0Bva6mKJ0qZRB5pNqj0AKLx1of+oVEJglZbvAijxG1SlodD6x2yacSHDtekBYST7iu\nvgTyUqAUnDzrBFScbdl5mwUpJJn2UVKwmjq/87wiepWq4nVZTc+GiCKlrxKkzjFR242aGeGOhdHY\n1jCiLLFhAlgngnYZ/MJPDxMojdGabk9XiouglEcY+eQ5dPqCQgYMNywnqjE9pOKJpzr0c8HU8Pkk\nOk0rG7dCcvxMSb9QDEWGfuG8S1fWDUJ3Nz1hsRFX8598MVF/di0m+Na3vpU3v/nN3H///XzlK19h\nx44dN0fGN2CrnewbNYr7pS99iVtvvfWCbuLNgOPvJ+p7xMGDBzl06BDj4+Osra2xbds2fuInfoID\nBw7wyCOP8NWvfpWvf/3rLC4uXvH9tm3bxokTJwb/P3HiBNu3b7/ic06ePMm2bVefsKrHxevtvtbv\nbM2HhqtbdV0Om/n8zRT8N96nhRCMtgKSUBCHHipwxfQ0d3zJpTXLwmLKnXudrdU9d8Y8+sQqS6ua\nHbMu0902E/LtR9d4/KkO33u+x2NPdvje8T57diWsdzVSwukFTRwJ4lDw2JPrDA25GGl6MmB2RA/G\nQ6cmPCbbJbJKWIeagjMLBY1I1AeSTipQUjCSnO92Wtwa3i8EnjQsdHyalcZIXomWBrJkJa00VGCQ\nPHuUpLKBquhehQxACITOMY0RhHZrq1UeRpeIMnP2X9WpEEWOHZ5A1OPcYYLoLkOlU2MmtiPzPvL1\nP4fwr70IfTUx0Esp119K6OxyuHVK0tUJamSIH9pTcnpBMzrsc/xMzqGDQwy1PHp9zWOH13ni6Q6+\nJ/jOIys8+1yHotB859F1Fs/lTFaCvL7nCiK37vAYbQmeO5mRxILTZw2eclN2Tz+bs30qwFjBcAOe\nO+2mFLRxivHNsKSXCUZalryEqeGrX38b9/ulRv3ZdQf9137t13jta1/L2972Nv7gD/6A3bt388lP\nfvIl364fVNyoTvbGGOSBBx7gM5/5zCWfd/LkST7/+c/zy7/8y5u+l19Tkv3oo4/yjne8g9/6rd9C\na82HP/xhvv71r/Oa17wG+P4m2UoptNY8+OCDFEUxEBC7HtQHs67w1txuayxSMuAp93IF2MGo7dUW\ntYuVO+sxrPqzrubLp5QiSRLa7TZKqYHYxcU3TCklI7EF4RFEIcrz2TbjE0cgrebbDy+xsKRJEslz\nz3cYavtMDBkKLYkCOD2XE4WSLC3JCkFcqUgXJTQSkMIgJPjV2FRpFJ40GKtQyqKt5woeVXe0FB6+\n0JQqRlmNVhGYciB+pr0AaXGdWuXTMXKgwrjVIOWnfyQGLH4gHU+qBITCDwJWM4HnSXrGp9EK6RQ+\nXhiws7lKELrzUHOPJZZSW9IC+lXCWQ6KwK5jX5rz3tH1VhZVx14IpzoPoKmKKBX3WitXfKDMyWXk\nbM4qoTii2Nl5lSXGD6DIsKNTiLK4bCcboJF4jCSgS+2EYYSk27NuosD3We1YSi3pZW7yYK1racQS\nygKpYLUrMEXKWteN4j13WtNuCCLfoI2zLKMaJW8nln7u4/tuzKnmOG9momUr/pM3Gpf67D/7sz+j\nLEv+83/+z3zxi1/km9/8Jq9+9atf0u36QcZWO9k3ahT3T//0T3nb2952we8+8pGPcOjQId7xjndc\ncbzrJv5uol4LfuiHfojJyUm+9rWvceLECf7X//pfnDlzhje+8Y3cd999V02GX/WqV/HMM8/w3HPP\nkec5n/rUp3jLW95ywXPe8pa38OCDDwLwjW98g+HhYaampq66jTMzM4OC0fUk2Ru78dcaz2w2Htls\nwb9GEili3xIHhtD38bwAzxcUpXUdSOlz5LkUCzz+dMptuxucmc84PZ/zyrvbKCnQVeH51t1Neqlb\nN/JKXHTPzpjJUaDIOPKsaw6khUBKUBgOH0sJKy+tyLccPpYTBtXYd2FcoVhKhhJDNxWD915eM/Qy\niScNRe5oX9oI2pGLfRqBIfQFQlR8beWTlh7Ywm1z7T+GoFt6YAqE8tDVuifKgh6+Ez8DdC3GlHYx\n7QnIu1Rv7ERMs74TlVUSKQRGG/TwBEqA2H8vcvttWzndV8TFdKk8zy+YjLwWAdI9M4JCRGRqiD0z\nmn23tejlkumJkKXVku3bIsLArbOeJ+j0NnTRhTtfvic4fsYVk/btiRlKNI89ucpKxx3rXdsiAh/G\nmrrqUEMYKZoxtGJNN3VTdyt9j5EkH/D3hxtw61R5VT72iyG8ulnU2lH1Z1tr+dCHPsSP/uiP8u//\n/b/n61//Op/73OfYv3//S7pdP8i4UZ3s+fn5wf18amrqsnob//yf/3M+9KEPbSlWvaao9uGHH+bT\nn/40zWaT6elpvvCFL/Ce97yHL3zhCwDf13FxIQSNRoNPfOITN8QyY6PYSJ1g15XdvLBIKdAlgKWT\nSSxiUAGtcSVeN7gbnlLqAquubrdLFEWbGnPfKHYRRdElx4Hu2qdIM8vymmZ+RXDLNp9btsc8/OgK\n01MRnZ5h96zP3EKGH0gCWZIWkqGm4PRiiackz59K6efnz+96zy1MvdSJddUuFmmhiANNL/fwhKFf\nyMon0X3xC+vho8lEjLAlRaXUaSvbChFECAw2aSPbIwMVxq0mcABx5DESl+jSCY9lmUEpSWE85yPd\naCA8hZUCmcQI30cWKQ3fMNpy+yaATlczPqwYiu3g5ltUCXiaO65X6LnOvsBWnC/oFT6h0uiKpy2l\nHHCXRbW/qZEIqzF+SFCp1euqSl5Xs60QIEFkKTZpOiuQy3Cya/zM6xPW111hQimJkpZut6SXKaeI\nLpQrBlQrz9S4x2OH15mdikgiWO9oLDAxDCvrlvERSd4vGR9271Vbo/jSMtSwLxBcudqERc17ulZ+\n4fXgUp/9zDPP8LGPfYw/+IM/GJzj3bt3c999972k2/aDjK12sm/EKG6e5/zP//k/+Sf/5J8Mfveu\nd72LZ599lu9+97vMzMzwL//lv7y2HbqJly3qtXl4eJgDBw6we/du+v0+WZaxc+dOYHPTDp7n8dGP\nfpSf/umf5o477uCf/tN/yu23387HPvYxPvaxjwHwsz/7s+zZs4fbbruNd77znfyX//JfNrWNzWaT\nfr9/wfZuFTU97XosDa/2+RcX/Gv+NWyu4N+KJaFniEKIIkkYeoyPhRSlYHJMsHdPwqkFzcx0yPdO\n5tx9Z5sd2yKePd7n2RN9bt0V88q7WxSFYde2gDv3JySRZN8tAZKSxw93mBgP6aeWRiI5u2KYHbU8\nf9olZOs9wey4YHGpnrgSbBszLFXJWS+TpP2C1Z7jXgfKaZPkWjAUW04uSVqxcaKsZZUISsPCmkfg\nuam93LjjoaSgU0SYauy7rx01zpYFWjWcCBoWHTZdWq1LiNtQ5k5oRSq0Nog8dUrIlXI7nRUY3wZ9\nJ3Kr+11UFIHykK9503Wd+8vhUuJbtQ1YEARbLnyPNCS516DRsNgyY//ukFZD4QnDE091eP5kyp5d\nMa9+RZu0Kqbs3pXwveOuEHFgb8LshGR2XJBnhmPP95kY8zmz6I51EitUNRmQVgl0PxfoPBts68yE\nZLJtOHbCsNqvz5mGsnfFEfmtWuTeSFyKA/5//+//5Tvf+Q7ve9/7Bs87dOjQoJl5E1uLRe677z7u\nuuuuFzw++9nPXvC8Ou+7GJ/73OeYnJzknnvu2dJ9/Joi2wceeIAHHniAxx57jCNHjtBqtZicnKTb\n7Q428vuFBx98kG984xt89atfpdVqXZFzshnUnM08zy/gdhsD6z1LuynJC0PsWfqloNSuYlq/tl7Y\nLj4m9cJZC4vUCfbG4H+rY2H1+/i+P1Ag7Xa7KKV4xW0BX3ukQONhpUcj8ej03AI1Mx2z2hXoqjXr\neYrHnlhmbHacPTOS+SXXsTfGeRrmlejVwgrcMgOnFy07ZhlUo9NSEvsFy32fZpjTzwOimEF1qW98\nhkTGuk1omoKyOqaltniAVQqpNTYIoTk8WAh830drTZ7npGmK7/ubErR73Stj/uL/FFgLRWaRQiIF\neEZiw4ggXyc3Hl6gsDqm1D3GxFn63hTLXZ9WU3DseM7uHQHKFghf0lKGrHRCd2fXBK3EorXz1vaU\nUx0XWFb6Hq2wYD0LCX2NIcCTGmErSxdrKWREYAtyr4ksM4zvig8AphpLJ4iAyldTjUPahfjKiuuv\nfUWLz36lS2k0y8sZWSoZagnWO5rIV1gMKys5U8M+Smoi33XkR4Z9lMoplU/aoRJ2kbQSwdPPFdx+\nq48faHQhyQow2jJa2WLUgiue56YX8jwfBJn1d7q+Fuqg7qXmYYMbfdz42f1+n1//9V/nE5/4BEmS\nvOTb83LBxaqdT333qzz13a9e9vk3YhT3C1/4Aq985SuZmJgY/G5ycnLw8y//8i9vWoTkJv5uob6X\nJEnCnj170Fqzd+/ewXW92VjkTW96E29604WJzDvf+c4L/v/Rj370mrezjgG2WvjfSE/b6JhyLTHW\n1YRc4XzBvxY222zBfzgRnF2zBArCUBBHijzVWOlxbiVHGM3te0L6WUkzCclTQyOWzC9orIVnT/TZ\noSOeP+mSrdv3t3ni6VUaicQK102PYg8ouGV7yLnlnG5PsN4TtJvOInPxbA8tYkLfTZWdncsQfkwr\ngWaoWeiCUYKpYcNzc4LpUUu3sHjSAD6hb9DaDgRH89KSG4WlJAqg0BawCOG8s2PldGn62sOXBVhF\nbgQRztqzbyCoXFdKL8ZjDSkkujl6vrvVHEV0zmFrK1NPIfsdjLWIuIHqLWHufB0ifPFHl5VSRFE0\nsLWsqVS1bexmEu5DuwR//URMHLXZPpTylUclQwnMndUcvL3F44fX8X3JN769irXQaiqSSDA+DKur\nJUvLOafmCtpNxfyyO3az0zFHT2j27lQcfqZLL7VMT4XMr1qmxwTraxnz5zRJw10TrQSePJYzNSZJ\nCzdpd3JB8MM/6iNETrfbHfDM6/i75mHX8fNLifqzPc8bxPzz8/P8q3/1r/jLv/zLlzzhfzlhYzxy\ntVjVmU+MAAAgAElEQVTkr/7qry77t6mpKebm5pienubMmTMXxBc1/uZv/obPfvazfP7znydNU9bW\n1nj7298+mHC6HK5rPnNsbIyRkREOHjzIP/pH/4hf+IVfAL5/SfaXv/xlfuM3foOf/MmfHGzHjeDt\n5Xl+wegUQFYKFpYsQoC2EHhOxTovBa3oygtpvXDWCcfFCbaU8roTDynlBV58eZ7RDHNKLfHCiJmZ\niIWzbmENQkV3tTuwp7KmJI4URcHA9iFLS0baiuHYJVxDDTd6pSQsdxzfVxvwlUvUPAmr/crv2bik\n1uK0PXLrLKlS6yrAxtS+do7kboRwnV2pEI2RwT5drJiplLoip6jG616REPoG31NYJEHoURSS0noY\nLVju+5RGIjyPDJ9C+rTKFU6f7tHLYKRp6WcQh5LjpwsQrtPfzyWNyLKwIklCWFgReMqNkWvrxupL\nI4k8zdluSCBLukWARGOFX3kfWnLpOthZ0CYQJXnQcsm09LC6EkapRu1dso3jawdX72zsmvHIs5Ii\n1+SFU5vPM4OQHivrxo3W4LF7mxyMwYeB4vHD6wSBx1DDklbfC6zj2vm+ZH2tQHmOn9/LnJrrxbiS\nnUiapi8IHl8qbORh1/eID3zgA/zKr/wKd95550u6LS83XFwt3n/ox7n/gQ8OHhfjRozi/smf/An/\n7J/9swtec+bMmcHP/+N//A/uuuuuG7iXN/FyhVLq+1K0uxyEcIrbZVlu2Sv7YnrajRJPuxT3tizL\ngVXXtRT8lXJCoGFgB3o00nNjz7PTEV4Ycvh7GaurmlNnSlZWc558pkeSeNyxr8md+1uDBHvn9ogj\n33OF2T27EorSEgSChXOaA7f45FnJ3GLB+KjbptkJj8WzPUbbPsbCzLgi7WSMtN2k1mhLcOT5kuGW\nW2dCz5CXgigQjDaMoz7hVKhPnJWUxnWxV9PKR7u0rPYVhXbuIWt5QBK6tVJItw2RsuSqgcQ1Loxy\nIqrKamwyjLBVs0d6mLJwauJCYoLzNp12YhtU3tcmbKDSVezEDsTOA9d6qreMuvCdJAnNZpMkSTY1\nlVajkQik8smCIfbvEOy9tUUnFYyPBRw+mvKaV42wvFwMOo3bZmKeeLrL3HzO9ETIqTl3/Hbvagz8\n0IWQTI8Y0lTTq4RYl9ZgtC0Ybgjmz2mGW4JzazA9CksrBmud/ajvWXxRkBWwY+LyAnC1mvf1Totc\nCzbysMFd9+9617v48Ic/fMlk7ybOY6Nl1967f5w3v/2Dg8dW8Ja3vGXAdf/kJz/Jz/3cz73gOb/9\n27/NiRMnePbZZ/nTP/1T3vjGN141wYbrSLKfeeYZ/vW//td88pOf5Jd+6Zf44z/+Yz796U9f69vd\nEHzrW9/iU5/6FAcOHGBubu66F6RaPK1WPd6YDKQ5rHQAa/CkGNxE01JekGRfvA0176JetGqLLjiv\nsHwjE4+N40CvvsMnzS2r686e6kd/uMXB/QmPPrrE/GLGuVXnh/zkUx0mJiJmx8Vg7Pn0fE4zURR5\ngUHQrBYZXVqiwBIoi68EkXfeIgrAIol8g5QKgRtbBjBVddooH0WJ8UIU1qlmI86TmqPmJferLkRs\nVjFzZhTWOwVh7JHnFj8OaTcEiysGwohu6RFFynWOo4jZeJU4duclrLjmSsLCkqYwkrW1kqwUJBU1\nwFOWuWV3rJbWnSqpN1A2ERRGIYXhbDfCWkNfB1VHwn2GQtMjxDMledAmQFNGbUThuGzWlmBxYmdC\nXrWLXePnf6qNLjRKWsJQkqaWJBJYLL1UYpHkWqBMyrnVimufF6SZJdeSxCsGap7nVsxgf448r9FW\nkngluRaMXiLJrnFxcUQIQZY5X46rLdo3GpfiYf/3//7fyfOct7/97S/ZdrxcsVWf7Osdxe12u3zp\nS1/irW996wXv+773vY+7776bQ4cO8dd//df87u/+7ou63zdxE9eKiYmJLXtlX4qeBtfXOLhUkn6l\ngn+tLL3ZosVIUxCqkjCAIJB4nmCo7WMtNGLJ7XtbZFoilSDXilt2xiyvFIBhfjHlrtsbzEyF+H7N\nCYflNcuubSGHbk9YW+1x+Mgaz592hedeLpidcKPX6x1D0vAQwvGy584ZGolCSZBCUxoIfMlkW5MV\ndWwlOH3WDta3Tl+CcKPmoSjJtaIZWkLfjZiD4wz3co9QuaJ9TcuWUtAtA0IJCHn+Xljk9FWErEac\njfKcKFpZYIcmEbr2rpagc2z1Qjk0jrAW7v7xrZ7ma0ZdbKk5wZdqatS6P3WseincOiVISYgTaIRw\n666IyYmIew8mPPTtZVbXS+66vcnObeGg0QPgBbWWESytafbsCDi0P+KRJ1Y49nyfIHDfi9kpn0Ys\nWFnqDYRZZycDJoZh4WyfxUqewyBpBQWeFOyYdFOY7v0vFICrJ+5qccGXMh65FA/7wx/+MD/2Yz/G\nG97whpdsO16uuFHCZ+9///v5q7/6K/bt28eXv/xl3v/+9wNw+vRp/uE//IeXfM2Lqi6uteaDH/wg\nu3bt4t/9u3+HUoqf//mf3xRP6WqeqU899RSvfe1riaKI//Sf/tOWXvu+972Pf/AP/sFAbKQed7pW\n1Bec53kvOKDrvfo5FqnOi2BZxMAOCy5cFOuF0/f9iid7nveU5zlFUbyoggv3HGggsUjPp288ssKg\ntaGfGmamAtY6ll0zHr3U0Gr6lGmfUgsmhmHunCGMJM+dSMlLgan4yN3Ujefk1XEw2qKtGFSHcy0d\n/8l41dFxX7lC+Cg0hQgRJsf4DWdnUY1N4fsQN696LC6+YYILzC8WSnvjqyIwhnNLJUsrBUtLBZn2\nKbUgbgTYMKZfSlCKqBWj0lXabY+hBqS5e49+WiJwo2i1OIusiOgurxcYoNN3e1p/Jwpdj9kJMl15\nneaVIFrFyzYqdFZmOqcrQkSZUQQtpC4gbCCwmFKjgwCswTYuL3q2EROjAdunFJ1OidGGlbWSxXMF\n1giMBT8InN0chrWuszZ58pkeUkInFTx9tMNq13WqF1ccPx3j/EK7uWBxqaCfC4aSzd3VhBADfmEc\nx5u2E7kRuBQP++jRo/zhH/7hBTzsm7g8jLny41J405vexNNPP83Ro0f5wAc+ALhR3I3juB/96Ec5\nevQojzzyCPfee+/g941Gg7Nnz9JqXVhUevDBB3n00Ud55JFH+MxnPrMpEaqbuInvB+p4ZLMJcs2P\nvpT16I2azoOrF/yNMVsq+CeBIAqcKnQYShqxQkhBbiTLqxohLBOjPkNDEUII4sTnVYfaPHmkx8LZ\ngscOdxkZkhw/0WWoYTm4L+b0mS5Hv7fOuaWSXs+w5xbnpdxqSuIATpzoMH/OrRvdVLBr0rDWq4rF\nWjI1VA7EzkorOL1Q0KvESY12k1ndTDDa0MyvKtqxxZeGrFqz48CwsOYTem5UvG4eeMLQKwNk5Xmd\n2UpR3BSYoImsxNK0CtAWyFNskIB2nVpRZJSAyF3HHt93a3yeYlujYEq47R5ojV7j2d0ayrIkTdPL\nxp91saWeSivLkrW1tUuu23u3CQrrY+IGTT/l2PMpK6s5h4+m7Lu1SZYbHjvcIUk8Al9wx96Yew5G\nJLHizr0x9xxMOHe2z1NH1slLR70LfMGJeY0QMDWqeObYOsbCmXPuOEeh4PSZPuPDbprBU07U93sn\nNUZIdl9heagLC2EYvkAA7sXEpXjYX/va1/jbv/3bQZJ3E1eG1pd/bAWjo6N86Utf4siRI/zv//2/\nGR4eBmB2dpa//Mu/fMHz3/CGN7yAy305XFOSrZTiu9/9Lr/1W7/Fjh07aDQaHDp0iOXlZZaXly/7\nus14po6NjfGRj3yE3/iN39jya2tc7JV9LYtSXeG9HD+j6xpxdPpO/CzLIfLNBQk2nF8UL1burIXO\n6s+qb3AvtsLycMOQFRAnEdtmYo6fdpXEycmIvTucMBhA4AmeeHqdTiYYreJbJS0ra4asEKS5e95q\nFxoRnFtxPLGscL83RqCEoZt5eMrQSR1HV1eLVG59fKHp2QBfWDIZgy4w1fgVUiHiKwt7XYyLR+Q3\neonv2x3SiGzF15KUmmqbwEofLTyMCsDz8TzIjWQy6tMOCzdKDpw4UzIyJEg8TavhVLkzt2bS6Quk\nsEicj7iSlkLXhQZ3Ay2MIqm6+hJ3FzDUiutuv630MVYiioxchoDF+I4jrJQHUmCLgjQevmI1eSN+\n7J4I34fl5QyLS657qYWqqn5uRTM56Thfu2cV/dQyPeEz0iidqnwBragkK2B0WHBqvmRsWBB4lm7P\n0orP89iuho3+k1uxE7kRuJiHnaYpv/Zrv8YnPvEJGo3GDf+8v4u4liT7Jm7i7zM2emVv1tLzYnpa\njetNsi8Wcr3RBf+xpiX03NKClAglCTzBzHRMqSVziwWdNedjfPx4l289ss6BvU3GR322zYQcey6l\nKC0rayVzZ0uMganxgGdPuoBLKsVQS7J3h8+jT64zPuJVzhj/P3vvFWRXVp99/9ZaO53YOSunmdFo\nNAxpbJJNfsGYD1fhoozLpjB2YaCMwxXpu7CvCGUXvGBc4Asb39lvuWyDjd8C7MIfmQGGETPSjMJI\nmlFode4Td1zru1hnHx21uqVOEjD0U3WqpO4++5y9zz5r/dPzPIKSrzl1rs3Mot2PPMfw1NMxC3VL\n49JpRpxCvS0YKGuenhYMVjrXsrN4Fb0UYayjhv2xIMqs0GfBEz1rnKAWumiT4ShJnGLFz4ymHruY\nNOnordjmAllM6BQxSWcP9kvW/zVsWo/sqAGAEzah0PndPS/e9Oe8EWxE8CvvbpdKpe5U2mr7drXg\nEooKh3dL9u8tU2tCf5/DuWciHjzWx/H7Sjx5psn0TMQTTzWZXzQ89niNxx5fZrmmabU1riN4tqM0\nfmh/kYGKZKQv48pMgtawd8rHGNg1InjqfEQrNBQC+/73jcOp8ylCwGId9q/iAttbdHdd9yYBuEaj\nsWlXm9thNR72zMwMH/nIR/i7v/u7HR72OrFdnew7iU1ndMVikUceeQSwi/Lb3vY2fumXfumWi/J6\nPFNHRkZ44QtfeNMGs57n5piYmOiOi29mU7rJqmuV5zdDgesYZhctmzjJ7Fhx2b8x0szFTnKuixDi\nJquuVqtFsVi8K1+slxzzCBNBnEDfgM/kmMOhvT4Yw6OPLZF25p+Wllq4jqDRMrTbdqEL2xnVilXh\nVEpSDiwf13Pg6oJVGA8jy61OM1t0mG+6OEIz33TI9HXV7dQIHJPQFkU7Km1shzbrjE9j2HCSnWMt\nL/EDk5pGM0O5LqWi5Vg5vk+rnZEaQeIUSIWLlhLpOgypZU6fq1NvCyaHLD1gsE8xNx9TCCTVQoYR\nNrmerUn6S4ZmCCXf4Ctjq6nCkGTYgkPsUnRTEq3wVdopqNjrHXeKD6nycckwbmDHxbAj9QDGt10F\nZQxqcOwGjvOtusC//FAJdEIhUGhtCAoOcawpFV3akS06uIHP5Iik3bbHGRr0OH2mzuiwj+dAq2XH\n2ioFuDyjGe6TeKT0VeQtR8V7sZbvZq+dyHpG/zeDtXjYv//7v7/Dw94AMm1u+djBDnZwI3rjkbzg\nvhqMMV0azUp6Wo7tSLLzeOROFPwHSlBwM3zHjlY7SlIo2sJ1agR7dhWo9PtcnY0ZHS1QrTg8da5F\n4CtGhlz6q/Y93X9vhZk5G3eMjngYA6NDDq4yLC+2WGrYOGt4yBZMD045nHiyxa5xjzSDqWHBU+dC\nxocVaQYTg4azlzSjA1Ykreha+8lK0fpl51fUcwWXFyRKWX2ZqKM0bgzMN5xOfKSpxw5SWKG0zLho\nYxXLM6eI1xktV0EJbcATIIIyQik7CSYVqdG2kWA0WbEPkaUYIaFUhagFe46Cszk/9I1gZaK5Edxq\n335gjybUBcolgR8I9u8pkmSKg/sKRFHGlWsxR4+UUBLuO1Lkmcv2vt89FXDuouXmHzlYotHSTIy4\n1kb0Yo0wzLqTC0iH/ROSLE1ptjtc7YZgz6idMAUYH5IoaemCK7Gy6J5DKbVms2a7utur8bD/8A//\nkE984hM7POwN4OchFtl0kv2GN7yB5eVlAN75zndy+PBhPvjBD3bb7KthPZ6p2/Hc8fHxbid7o5vS\nSi7UWs9vReC71k/YaGvdZLShGtycZGdZ1q0W9wqL5BXE9Vp1bQfu3e/homnHkqWGpB1qWu2Mxx63\nthELNdg3qTh7IWRsxGNi0KppAlybSxioKrIkQSpBybO+2baCa5NNxxEUPTsyrqQgSpUl2Qj7fyFM\n12NSCEGCa7nGSBCyW4EyJr2tRdV60Osl/tqHCxidkkQxswsprVZKK1bUm5rUSGLtIl2HVBXBGIb8\nBnFsqLfAd2ySWQgE5y+lKEcSNhOSTDJQ1LRjQaVguDQn8T3L2RcCAscQZ4KCa8XPfJUrjRu0sCJo\nUggyAw4poSzgiYQ0qOKaxAqi5Ldffo8oF1WsdLlSUspbdoGllDx02GVxOUJraz2WJJYmoKVCG0WK\nYnmhYTd6QJqU5XpGqeQw2pfhd/hQHdMvSkXJhSsJhUCuKnq2Ennh6lbdkZWj/9vV3V6Lhx2GIe94\nxzs2dcxfVNyqcvyzVD3ewQ5+VpBP1t2uK5wkCVprgiC45Rq51a5akiR3rOAvpVVzDlw7Ml4sSAJP\n0owgjgyOY5PeQ/srXL4WUyx5PHh/mVoj4cePN7g2l3BgTwGM4djhAsfvKaC1YajP0F8V/PjxGkJg\nBUixArT7xq/Tt6pll2oJfNcQp9BXVVSLBtGhdZUKgrFq1nU6cR24MA3a5PQ3BUiSzFpThqn1ybY0\nMUGSCYqepBk7FD2NoySp7oyQK6jFHp7MQFhBUbB7ZuiVcTqj5aJQQdCx+iz0kXXEZVE+CAPVIdh1\nZFPXf6PYDoeP3n07nwiTNAGB9guU3JTL0yFjQ4prszFRrJlbSDh5usnUhIfrSO49WGRy3GN4OGBs\n2OXQ3oBiUTIxJFhaDDlxqok2MD5mJ+48x47sP/5knWLRXufxYUV/GZ443aIZ2c+3ryw4PJHdNGm3\nsui+1nndie72Sh42wF/+5V/yspe9jF/91V/d1DF/UfHzEItsOsn+i7/4C1760pfSarV4y1vewp/9\n2Z/h+z71en3N52yF87iR5+YcqPx56/0y9Mr45xvPmkl2CNWCXTTjVOM4gkzr7s9yaK3RWq9p1dU7\nLnK3MFDRtGPwCx7jEyWqVfv6e3YV0BqyJLNWTgM+szN1Mm0Y7Tcs1AzlouLCsyHGyK7lVxTbDUNn\nBs81SGPItFUYB9spLbgahEIKg9YdUbkO/1orF4cM4xaQpOAGCCER21jJFUIwNlJkqKTRmSFKrCK6\nchzC1MX1HPxAUosdokziVkroxjITYz6lgG6HN0ts1VsjOfdsTCsSOLJjfaYMzdCOpl2ZF5abnlrr\nMikFmZE4ImGhXeh0tj2M0SDtyJ6DpomPqxNCVcLRMVnQh9J2pD+/D43nIzr+2evtAr/19VU8ocmS\nlHpdd4VZksxBOA6uo7l0uc1CzQqjzS90VM2F4vyFBkYqfJcuHUBJw9yiQUrJYPnW1d3VuEe3Q+95\neZ63aa7UneJh304f4rmKW3Gg7jClfgc7+LlEPi4Oa8cTSZKQJMktE+xbPX+9yDvpd7LgP9ZnrSxd\n167jWggqJcXIqA8GXCVwlOH5D1QQOuXU6Sa7J33y03ZcwU9ONXjsZA2NsOrTMwl16xDL3t2B7U6P\nKGrLISdPt5hd6kx9GUEaRV1xMyklOo5JO5NiSgnOPJN2NWNabas0HmeKgWLKckt2LL1goS5JMkHZ\nM8w0XCpBBphuAB+ojCjz8VRO/XIxQqBEBl4J0aGEGemQaJA6Bcfrds2lMWi/hOj4baeOi0hjsr3H\nYQux8nqRC51tp9Bubxd41zA0RcDeKcHoSIErsymlouLqTMoDR6sUA0GmBSdONjh1poHnCB59bInL\nl5u02wmPPFrj4qWQfXuK3XhlsQ7jQ4rDex1OPGlviIWa/d1Iv+Dk6RblomB+2erHRHHGUPXG78tq\nRfeNnJfruoRhuKV4ZKUf9ve///2uXslmsBOP/OzGIptOsr/zne/wiU98go9//ON88pOf5G1vexuv\ne93r+MY3vgGw6pjnejxT18JGnlsqlQhDO3KyUbGRlUnv2p1sgdtZjOstg1IQRtygLJ6mKWmadhew\nlcqdQoifimXAw/dCFBuSVHLs/ioXnrXiG+NjPlm7je/b28J34dnLEYlx7JhzCkKkLCxr4kzQbNnP\nOE4tD7nWsArjzdB2b0VnOwkTReBkRKmDIOtscNcrvSmWn506BaS2SuNiDVXxrSDLMo4fMjTbhiBw\nMAjqTUNqHBCKWgsKRZfEOBTKPr4JGehTDJZT3E4nt97sJJlC47pW4C3nscedjV1gWGoKkgzaHfFM\nme9h0iE1CkHGfMtHa01m7LFNR/xMmYSGKKKymNgrI9IY45cgjcEYMuneNEp2uy4wJqJa0mRZShxn\nlpPezIgig1Ae7XbG6LDHcsMw1p8x3RnJcoRmdj6hFQlGKllXRKbWGdeLM8lAce0VbavFpK1Wk1fj\nYb/vfe/j85//fFcob6PYiD7Ecw3a3Pqxgx3s4EZMTk7eMFm3MijPsow4jrv0tFthK0l23inP7cDu\nVMHfd6FcsJxazxO4jkBKReBJam3wfUVmBD88UWd4uECaGU6eCdk1WeDh5/dx+pxVle3vczl7wcZx\nB/YWuDpju9e+53Jot6ToZ1y5ljAx5rLc0FRKML8QMjOfdpPuLM24dC1juWn34LlFqzS+3LJK45fn\nJb6rSTJJs211VPpLhiyDcsEew3Ps2HjgWF52fvWFFCyFLlJoO51nOvu/yailgRVyBZIOBU6mEUmh\nH5Ha0WijHDAZjk4xjocjBOnAJA0Z3DEucI7eybI7oQMkhOCBAz6ZLjLQ51IsSPbtLpAZyUCfy7W5\nmEMHSgg610zaAkmOcvn6fbiwbOOLPZMefUXDxWdqRJ24anLMZbFuODglWFi2gqxT47aQsXtE8/Ql\nzT17rp+fMYZms4nv+5sqJvXGI8VisUtFXI+92Wrfs+3gYe/EIz/bscimv121Wo1Lly5RLBZ54IEH\n+K3f+i2e//znc/bs2TWfsx7P1Bwrb9aNPLf3GOsVG8m5UCs3mbWe3wwh6XT15hbtAh7F1uYJbLUs\niqIuz0VKeYNyZ5Zld1RJfC0kScLUiMZVECaSpaYAo6mW4OLFJjNzEVIpHAUL8yFCWLXsnJObxHmS\nmSI7dhlRAqUCXJrrbDx1YyvKnViiETr4jmap5WCMJjP2GmskGEOE7WSHsoDQKUY467aoWi+01jSb\nTV75cAUlMuJYo43CcyWuq1huSWIcpJLgeaAE0veZLNR56qkamZGMDVhV+cCDRiNlqE/RV9DdqnPc\nmfpKUstdduT1L3vcuVdSnd9fspt4x9reF6ajNI500UIis4imKCHSkMSr2M1ZORj/1t2O3i5wXnXV\nWvPqF3vU6ylCWPsRKSGJEsIYlKOYmiwxNSpZWoxJM+ivSi4806QQSJZbgivTTZabloP/9GWNkuAp\nzcAtctV8zHs7ikkb5UqtxsP+0Ic+xDvf+U6OHTu26fexEX2I5xp0Zm752MEOdnAjhoeHWVhYALhJ\n4yWnp/m+v64ge7NJdpqmxHGM4zhorXEc544W/EcrGt8Bx5F4vqJYUNTbUC1JkA7TcynH769y6lyb\nQwfKVEqK/qrD9360zNiIx/H7ytx7qMRAn2JsxGV4yOfooQL3H/Z54skaj59qkBkbWw32OwxWYawf\nrs6mTI25hDEc3gWnnk4Y7JM0Q8GekYzpBcNwX2e/jhK0EQxVoRpkeI79uecYriw4BK61Js11ZJQ0\nLDQd8p23lXSK40aT4Xf3IC08Mg06jRFuQJal3RnWMANiWzhIOx1sEbUwlSFEEiIPPnTDvn07u6zN\noHdq4U7rAPWVHGTBx3ctXXDfLp/hIYnvaE6cbHBlOuTIwSIPP6/K7LyNwSfGfM6ct42fg/sKVEqK\nw3tcykXBiVN1lBJcmrHXbmTIY++o5tyFJlfnOrGpUuwZsTTIaglG+q+nObmo4FaLSb32Z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ItPXJvjqvuf+AvGs2Zb1YLQb95Cc/ycMPP8wrX/nKu/5+nuvIMtN97Dr8Cl76po90HxvB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\nuIiFWU5ZidSHvWLFCvbu3cttt91W6fcXCASCyiLWcsKyYjAY6NmzJx9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42gKBQBAPqnos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\nbs28efP48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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Travelling Waves" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that the individual solutions $\\psi_{-}=f(kx-\\omega t)$ and $\\psi_+=g(kx+\\omega t)$ are both good solutions for the wave equation, and we can use the fact the the equation is _linear_ to add them together (this also gives a valid solution, which is the most general solution): \n", "\n", "\\begin{equation}\n", " \\psi = a\\psi_-+ b\\psi_+\n", "\\end{equation}\n", "This is called the _principle of superposition_ and leads to interference effects. \n", "\n", "Each of the solutions $\\psi_- = f(kx - \\omega t + \\phi)$ and $\\psi_+ = g(kx + \\omega t + \\phi)$ are called _travelling waves_. The\n", "direction of travel is set by the relative sign of $x$ and $t$: if the _relative_ sign is negative (e.g. $kx - \\omega t$) then the wave\n", "travels in the _positive_ x direction; if it is positive (i.e. $kx + \\omega t$) then the wave travels in the _negative_ x direction. \n", "\n", "We can understand this by considering a particular shape at $t=0$, which will be given by $f(kx)$. Notice that this is an _arbitrary_ function - it doesn't have to be periodic. Then at a time $t$ later than this, if we increase $x$ by $\\frac{\\omega}{k}t$ we will find: \n", "\n", "\\begin{equation}\n", " \\psi(x +\\frac{\\omega}{k}t ,t) = f(k[x + \\frac{\\omega}{k}t] - \\omega t) = f(kx + \\omega t -\\omega t) = f(kx) = \\psi(x,0)\n", "\\end{equation}\n", "\n", "So the shape of the wave is _the same as it was at $t=0$ but translated a distance $\\frac{\\omega}{k}t$ along the $x$-axis_. This is illustrated for a triangular function in the snippet below. We\n", "have already written that $\\omega/k = v$, so we see that the wave is translated (or travels) a distance $vt$ along the axis. This is why the solution is called a travelling wave. We can generalise away from a form with $k$ and $\\omega$ by writing $f(x\\pm ct)$ with the\n", "knowledge that we may need to scale the argument by an appropriate constant to get the right units. Now think about differentiating this function with respect to $t$ and $x$. We will find that: \n", "\n", "\\begin{equation}\n", " \\frac{\\partial \\psi}{\\partial t} \\mp c\\frac{\\partial \\psi}{\\partial x} = 0\n", "\\end{equation}\n", "\n", "This equation is satisfied by functions of the form $\\psi(x,t) = f(x \\pm ct)$ which are travelling waves. Notice the close connection with the factorisation of the wave equation we gave above. If either bracket in that equation is zero then the wave equation will be satisfied---a condition which is also in the last equation. Note that this is not an exact mapping: all waves satisfy a wave equation, but not all waves satisfy the travelling wave equation.\n", "\n", "If we return to the energy density and power formulae, we see that we can eliminate one of the differentials, so that: \n", "\n", "\\begin{eqnarray}\n", " E(x,t) &=& \\frac{Z_0}{c}\\left( \\frac{\\partial \\psi}{\\partial t}\\right)^2= cZ_0\\left( \\frac{\\partial \\psi}{\\partial x}\\right)^2 \\\\\n", " \\label{eq:50}\n", " P(x,t) &=& -Z_0 c^2\\left( \\frac{\\partial \\psi}{\\partial x}\\right)^2 = -Z_0\\left( \\frac{\\partial \\psi}{\\partial t}\\right)^2 = -cE(x,t)\n", "\\end{eqnarray}\n", "So the instantaneous kinetic and potential energy densities are _equal_ at any point on a string under tension carrying a travelling wave. The power is given by the energy density multiplied by the speed of wave propagation and travels in the direction of wave\n", "propagation.\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Show that f(x-ct) propagates to the right by plotting function for three values of t\n", "# You can easily change it to f(x+ct) by changing the definition of u below\n", "\n", "# Define a function which gives a triangular wave\n", "def tri(u,out):\n", " for i in range(len(u)):\n", " if u[i]<0.0:\n", " out.append(0.0)\n", " elif u[i]>1.0:\n", " out.append(0.0)\n", " else:\n", " out.append(u[i])\n", "# Define x, speed c and amplitude A\n", "x = linspace(-1,4,1000)\n", "c = 1.0\n", "A = 1.0\n", "# Create figure\n", "fig = figure(figsize=[12,3])\n", "ax = fig.add_subplot(121)\n", "ax.axis([-1,4,-0.1*A,2.2*A])\n", "# Plot triangular wave vs x for t=0 (blue)\n", "t = 0.0\n", "u = x-c*t\n", "out = []\n", "tri(u,out)\n", "ax.plot(x,out,label='t=0')\n", "# Plot triangular wave vs x for t=1 (green)\n", "t=1.0\n", "u = x-c*t\n", "out = []\n", "tri(u,out)\n", "ax.plot(x,out,label='t=1')\n", "# Plot triangular wave vs x for t=2 (red)\n", "t=2.0\n", "u = x-c*t\n", "out = []\n", "tri(u,out)\n", "ax.plot(x,out,label='t=2')\n", "legend()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 5, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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