{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "###### Content provided under a Creative Commons Attribution license, CC-BY 4.0; code under MIT license (c)2014 Lorena A. Barba, Olivier Mesnard. Thanks: NSF for support via CAREER award #1149784." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Version 0.3 -- March 2014" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Source Sheet" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A source sheet is an infinite row of sources along one line. You have already created a vortex sheet by placing a [row of vortices](05_Lesson05_InfiniteRowOfVortices.ipynb) on one line, so you are ready for this.\n", "\n", "Make sure that you have studied [*AeroPython* Lesson 7](07_Lesson07_methodOfImages.ipynb), on the Method of Images and the use of classes in Python. From now on, classes will feature prominently!\n", "\n", "We start by importing our libraries and creating the grid of points, as we've done so many times before." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy\n", "import math\n", "from matplotlib import pyplot\n", "# embed the figures into the notebook\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "N = 100 # Number of points in each direction\n", "x_start, x_end = -1.0, 1.0 # x-direction boundaries\n", "y_start, y_end = -1.5, 1.5 # y-direction boundaries\n", "x = numpy.linspace(x_start, x_end, N) # computes a 1D-array for x\n", "y = numpy.linspace(y_start, y_end, N) # computes a 1D-array for y\n", "X, Y = numpy.meshgrid(x, y) # generates a mesh grid" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will include a uniform flow of magnitude $U_\\infty = 1$ parallel to the horizontal axis. The arrays `u_freestream` and `v_freestream` contain the velocity components of the free stream. Let's fill these up:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "u_inf = 1.0 # free-stream speed\n", "\n", "# calculate the free-stream velocity components\n", "u_freestream = u_inf * numpy.ones((N, N), dtype=float)\n", "v_freestream = numpy.zeros((N, N), dtype=float)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Finite number of sources along a line" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We consider first a finite number of sources arranged along a vertical line, normal to the freestream. The streamlines will come out of each source and be deflected by the streamlines coming from the freestream.\n", "\n", "From a computational point of view, the finite number of sources can be represented by a 1D-array containing objects, each one having been created by the class `Source`. This class will need as attributes the strength of a source, `strength`, and its location at (`x`,`y`). Its methods will compute the velocity components and stream function on a given mesh grid (`X`,`Y`), and of course, its *constructor*: " ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "class Source:\n", " \"\"\"\n", " Contains information related to a source/sink.\n", " \"\"\"\n", " def __init__(self, strength, x, y):\n", " \"\"\"\n", " Sets the location and strength of the singularity.\n", " \n", " Parameters\n", " ----------\n", " strength: float\n", " Strength of the source/sink.\n", " x: float\n", " x-coordinate of the source/sink.\n", " y: float\n", " y-coordinate of the source/sink.\n", " \"\"\"\n", " self.strength = strength\n", " self.x, self.y = x, y\n", "\n", " def velocity(self, X, Y):\n", " \"\"\"\n", " Computes the velocity field generated by the source/sink.\n", " \n", " Parameters\n", " ----------\n", " X: 2D Numpy array of floats\n", " x-coordinate of the mesh points.\n", " Y: 2D Numpy array of floats\n", " y-coordinate of the mesh points.\n", " \"\"\"\n", " self.u = (self.strength / (2 * math.pi) *\n", " (X - self.x) / ((X - self.x)**2 + (Y - self.y)**2))\n", " self.v = (self.strength / (2 * math.pi) *\n", " (Y - self.y) / ((X - self.x)**2 + (Y - self.y)**2))\n", "\n", " def stream_function(self, X, Y):\n", " \"\"\"\n", " Computes the stream-function generated by the source/sink.\n", " \n", " Parameters\n", " ----------\n", " X: 2D Numpy array of floats\n", " x-coordinate of the mesh points.\n", " Y: 2D Numpy array of floats\n", " y-coordinate of the mesh points.\n", " \"\"\"\n", " self.psi = (self.strength / (2 * math.pi) *\n", " numpy.arctan2((Y - self.y), (X - self.x)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now you'll really see how useful classes are! We will use our class `Source` to create as many sources as we want to place on a source sheet. Pick a number, `N_sources`, and call the class constructor that many times, moving along the $y$ axis for the location of the sources. Then call the function to calculate the velocity of each source." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "N_sources = 11 # number of sources\n", "strength = 5.0 # sum of all source strengths\n", "strength_source = strength / N_sources # strength of one source\n", "x_source = numpy.zeros(N_sources, dtype=float) # horizontal position of all sources (1D array)\n", "y_source = numpy.linspace(-1.0, 1.0, N_sources) # vertical position of all sources (1D array)\n", "\n", "# create a source line (Numpy array of Source objects)\n", "sources = numpy.empty(N_sources, dtype=object)\n", "for i in range(N_sources):\n", " sources[i] = Source(strength_source, x_source[i], y_source[i])\n", " sources[i].velocity(X, Y)\n", "\n", "# superposition of all sources to the free-stream flow\n", "u = u_freestream.copy()\n", "v = v_freestream.copy()\n", "for source in sources:\n", " u += source.u\n", " v += source.v" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that the variable `sources` is a NumPy array, that is, a collection of items of the same type. What type? You're probably used to arrays of numbers, but we can also have arrays of objects of any type created by a class (in this case, of type `Source`).\n", "\n", "We are creating an empty NumPy array called `sources`, and telling Python that its items will be some object that is not a built-in data type, like `int` or `float` for integers or floating-point real numbers. The number of items contained in the array will be `N_sources`.\n", "\n", "In the first loop, we fill the `sources` array, calling the `Source`-class *constructor* for each item. We also go ahead and compute the velocity of each source (using the method `velocity()` of each source). In the second loop—after creating the velocity arrays `u` and `v` by copying the free-stream velocity components—, we're adding all the velocity contributions for every source `source` in the array `sources`.\n", "\n", "The final flow pattern corresponds to the superposition of a uniform flow and `N_sources` identical sources of strength `strength_source` equally spaced along a vertical line normal to the uniform flow. In our plot, we'll mark the location of the sources with red points and also define a filled contour of velocity magnitude to visualize the location of the stagnation point, defined by $u=0$ and $v=0$." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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I2hZVKViwIYxH/JxYNtpQKlAlV/PEpqt4OLTjs0dvFZNW1ql4c18snayt+OiO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tfHser383n46wo21JhI0Sq4el5+TGKyuX389Ysy9rRYePPqGVHCc9ArPvf5fiwuHx/fOCem0uEH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\nHpPlsvDBjhY+2N7C7786lsL07kuhodku3rhtJt9+YT2iwcCtc0oPONbK7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rGAX7+zgzP+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stb8fFf+Vq7gMkVbfjgdB52Px+toWQgVSjxzvEcuFib4qt5oQ/1wN+tbMd7p3KxcXE4TNrL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\nD4vFQrSXLaxND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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot the streamlines\n", "width = 4\n", "height = (y_end - y_start) / (x_end - x_start) * width\n", "pyplot.figure(figsize=(width, height))\n", "pyplot.grid()\n", "pyplot.xlabel('x', fontsize=16)\n", "pyplot.ylabel('y', fontsize=16)\n", "pyplot.streamplot(X, Y, u, v,\n", " density=2, linewidth=1, arrowsize=1, arrowstyle='->')\n", "# plot the sources\n", "pyplot.scatter(x_source, y_source,\n", " color='#CD2305', s=80, marker='o')\n", "# compute the velocity magniture and indices of the stagnation point\n", "# note: the stagnation point is approximated as the point with the smallest velocity magnitude\n", "magnitude = numpy.sqrt(u**2 + v**2)\n", "j_stagn, i_stagn = numpy.unravel_index(magnitude.argmin(), magnitude.shape)\n", "# plot the stagnation point\n", "pyplot.scatter(x[i_stagn], y[j_stagn],\n", " color='black', s=40, marker='D')\n", "pyplot.xlim(x_start, x_end)\n", "pyplot.ylim(y_start, y_end);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now try to change the total strength of the sources. What is the minimal total source strength so that the dividing streamline ($\\psi = 0$) encloses all the singularities?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Infinite line of sources" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By definition, a *source sheet* is an infinite collection of side-by-side sources of infinitesimal equal strength distributed along a given path.\n", "\n", "Consider $s$ to be the running coordinate along the sheet: we define $\\sigma = \\sigma(s)$ as the strength per unit length.\n", "\n", "Recall that the strength of a single source represents the volume flow rate per unit depth (i.e., per unit length in the $z$-direction).\n", "Therefore, $\\sigma$ represents the volume flow rate per unit depth and per unit length (in the $s$-direction). Thus, $\\sigma ds$ is the strength of an infinitesimal portion $ds$ of the source sheet. This infinitesimal portion is so small that it can be treated as a distinct source of strength $\\sigma ds$.\n", "\n", "Following this, the stream-function at point $\\left(r,\\theta\\right)$ of this infinitesimal portion is\n", "\n", "$$d\\psi\\left(r,\\theta\\right) = \\frac{\\sigma ds}{2\\pi} \\theta$$\n", "\n", "Integrating along $s$, we find the stream-function of the entire source sheet:\n", "\n", "$$\\psi\\left(r,\\theta\\right) = \\frac{\\sigma}{2\\pi}\\int_{\\text{sheet}}\\theta\\left(s\\right)ds$$\n", "\n", "In the previous section, we considered a vertical finite distribution of sources. Similarly, the stream function of a vertical source sheet at $x=0$ between $y_{\\text{min}}$ and $y_{\\text{max}}$ in Cartesian coordinates is\n", "\n", "$$\\psi\\left(x,y\\right) = \\frac{\\sigma}{2\\pi}\\int_{y_{\\text{min}}}^{y_{\\text{max}}} \\tan^{-1}\\left(\\frac{y-\\xi}{x}\\right)d\\xi$$\n", "\n", "And the velocity components are\n", "\n", "$$u\\left(x,y\\right) = \\frac{\\sigma}{2\\pi} \\int_{y_{\\text{min}}}^{y_{\\text{max}}} \\frac{x}{x^2+\\left(y-\\xi\\right)^2}d\\xi$$\n", "\n", "$$v\\left(x,y\\right) = \\frac{\\sigma}{2\\pi} \\int_{y_{\\text{min}}}^{y_{\\text{max}}} \\frac{y-\\xi}{x^2+\\left(y-\\xi\\right)^2}d\\xi$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Using SciPy\n", "\n", "We need to calculate the two integrals above to obtain the velocities. Bummer, you say. Calculating integrals is so passé. Don't worry! We have SciPy: a powerful collection of mathematical algorithms and functions. It includes the module [`integrate`](http://docs.scipy.org/doc/scipy/reference/tutorial/integrate.html), a fundamental set of functions for scientific computing including basic integration, quadrature rules and numerical integrators for ordinary differential equations. How helpful is that?\n", "\n", "Let's import the module we need from SciPy:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from scipy import integrate" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We are going to use the function [`quad(func,a,b)`](http://docs.scipy.org/doc/scipy/reference/generated/scipy.integrate.quad.html#scipy.integrate.quad) of the module `integrate` to compute the definite integral of a function of one variable between two limits:\n", "\n", "$$I=\\int_a^b f(x)\\ {\\rm d}x$$\n", "\n", "The first argument to the function `quad` needs to be a Python function ... you already know how to create a Python function using a `def` statement, but you'll learn a new way to create Python functions: the `lambda` statement. Why do I need two ways to define functions, you may ask? The answer is rather subtle, and the subject of full blog posts! (See below)\n", "\n", "In short, a function created with a `lambda` statement is a single expression that returns a value (but without a `return` statement!). It is often called an *anonymous function*, because we don't need to give it a name." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's see how we use a `lambda` statement to integrate a mathematical function. Suppose we want to integrate the function $f:x\\rightarrow x^2$ from $0$ to $1$. You can manually do this one, right? It gives the value $\\frac{1}{3}$. \n", "\n", "To use the function `quad()`, we give it as first parameter the expression `lambda x : x**2`:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(0.33333333333333337, 3.700743415417189e-15)\n" ] } ], "source": [ "print(integrate.quad(lambda x: x**2, 0.0, 1.0))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You see, here we used the `lambda` statement to pass a function argument to `quad()`, without going through a function definition (in this sense, we talk of *anonymous* Python functions).\n", "\n", "Note that the function `quad()` returns a list: the first element is the result of the integral, and the second element is an estimate of the error. If you just want the value of the definite integral, you need to specify the index `[0]`, for the first element of the list!\n", "\n", "Note that the lambda function can accept several arguments:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(1.0, 1.1102230246251565e-14)\n", "(2.0, 2.220446049250313e-14)\n" ] } ], "source": [ "a = 3.0\n", "print(integrate.quad(lambda x, a: a * x**2, 0.0, 1.0, args=a))\n", "b = 2.0\n", "print(integrate.quad(lambda x, a, b: a * b * x**2, 0.0, 1.0, args=(a, b)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We are ready to use this for our velocity calculations of the source sheet.\n", "\n", "One last thing! The result of the integral, obtained with the function `quad()` is a float, so we would have to loop over our domain to compute the integral at each discrete point; this can become expensive as we refine our domain...\n", "Unless we use [`numpy.vectorize()`](https://docs.scipy.org/doc/numpy/reference/generated/numpy.vectorize.html) that will allow us to create a vectorized function that takes Numpy arrays as inputs and returns a Numpy array!" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [], "source": [ "sigma = 2.5 # strength of the source-sheet\n", "\n", "# boundaries of the source-sheet\n", "y_min, y_max = -1.0, 1.0\n", "\n", "# create the anonymous functions\n", "integrand_u = lambda s, x, y: x / (x**2 + (y - s)**2)\n", "integrand_v = lambda s, x, y: (y - s) / (x**2 + (y - s)**2)\n", "\n", "# create a dummy function to vectorize\n", "def integration(x, y, integrand):\n", " return integrate.quad(integrand, y_min, y_max, args=(x, y))[0]\n", "\n", "vec_integration = numpy.vectorize(integration)\n", "\n", "# compute the velocity field generated by the source-sheet\n", "u_sheet = sigma / (2.0 * numpy.pi) * vec_integration(X, Y, integrand_u)\n", "v_sheet = sigma / (2.0 * numpy.pi) * vec_integration(X, Y, integrand_v)\n", "\n", "# superposition of the source-sheet to the uniform flow\n", "u = u_freestream + u_sheet\n", "v = v_freestream + v_sheet" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's now visualize the streamlines (blue) on the mesh grid. We draw a red line to show the source sheet and a filled contour to visualize the location of the stagnation point." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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786kcjS5g8TBP5g30aHKDY0hXBzwcWnEyrpBT8WLUWj1nXh5qlDCXytV8cCSe\nkioVG55rfL9dQoGMtQfj6N7BlsPLB9eb+Kxpuv3pUho/zAwk5B4/qaupJVxLlXAnS0psvgyNTmDe\nwM48P7ir0TGUGh1fnEoiJs+QJ7r/4dp1J4c9d3L5ZW5f+t8nGN1+O5utN7PZ8GxfAs1EE7lSBQs2\n3zHkrp7wrY0m4/LLWbw1gicDXHhlTHeT6W21VuDl3VGkFFWxb8mAOttDCmXVfHTM0Dj83Qx/Vu2M\n5PDywbXEa9CWGZT4Y32dOfXSkAajAZ1eMJjPnUmms0NLvp8Z2GShbX0QBIFkqY79OyO5lFzM2J7O\nPDewc737pJdUcS6hiK23srG+m4h+fpAHHo3IV4LhmT+fVMyZ+CJupUsI8WxPSFd7lgzzrLf30hyk\ncjU30iVcS5VQJlcTnlPOIC8Hhni15/Vx3elk35LNzzfpkLV4aMjpflSrdfx5PZNbGaV4Orbm/Orh\nD1xhKJWreOdwHAHubQlwa0ugezsjYjodL+adQ3FM9nfh86d7N4r8BEFgZ2guX51J5sNJvjxuJgq5\nFzXJ54TCCg4uG2Si1j4YkY+7fUvc7FuSXaowyCImGbsgl8nVvLAlDNe2Bs+pe8cpCALrz6exLyKX\nTfP64+lknD/7+mwKR6IL2Dw/yOwDHpVTzit7o5gb0pl5A/9Smp+OF/P7lQzenOjD471NrzGtuJIP\nblYzNciFz6bWfe+ORBfwwZF45g8yFB0+PZHEwiFda3vo8soUvHc4nqxSOV9P9yekjgj63mu6lFxS\nm6z/4uneDe7TFMiqNRyIyGPbrWw0ShXPD2/Lx5P96rSx0esFNt/M4mBkPmKZkql9XfllTl98Xdo0\nKsIvKK/mdLyYU3FirJqJsLWxYmIvZ756pneT3DLU2prEeAlpxVXcSC8lqIs9g73aM9jLAe8O/4zR\nHDyE7StanZ694Xl8dy6Vvh7tWDO2e73y/fogqVLx8bEE7mRJ+XRKLyxEIt46GMeZl4diY9WMcoWa\nny+lczpezJfP9DGJNOpCRbWatw7Fk1pUyY+zA2uV7HXh4KkLXJHZGwSWT/c2m3xWanSs3hONuEKJ\nXi+wYEgXIzLIlSp4bmMoY3p04PXxPkbVG61OzzuH44jNl/HnvP5G0YZGp+eT44lE5pTxx7z+ZnNy\nF5KKWLM3hq+e7s3IHh2Av3ryfr+aUWcP26k4MWsPxvJkF3h3zhiz116p1PDtuVQuJhfz7XT/2uMo\nNTqsLS3XhvbYAAAgAElEQVQQBNh6K5uzCWKCuziwaFhXE6uQ+xGXJ+Oj4wmUytW8Pt6H0T1Mvbwe\nFMniSjbfzCKpsAKXti2YG9IZRXYMI0aMaHDfr04n07+LPYM8HUzEleaQXSrnRKyYhEIZ11IljO7R\ngfF+zgzyal8nyf940SA49XWxw9elDb6ubbCyEHEjvZRLycUkF1Xh0Ko5Q7s5MsirPYHu7RpMTTxo\n+8pDRU7f7rvEujPJdHduw6KhXR/IYxr+8mr6z4lEpvbtxEujvWnZ3JIz8WLsWlgR3NWBcwlFvHUo\nlsf8OrJ6XDdaWTdOVRyXL+Otg7H4u7flzQk9GoyywrPLWPDnTV4Y7s2y4abJZzCQ6EfHEgCYG9KZ\nVTsjufLaiHumVTK+OJ3E6B4dePa+ilyNVECrF/hsam+jlg2lRseKHZG0tG7GZ1N6mSXFPWG5fHEq\nmd+e7VtbXNDq9PznZBLXUiX8Ob+/ia5JEAR+vZzBrjs5fDsjgPL0KLO9Z3H5MlbsiGCEjyOvjeth\nMuXNksh5bX8MWp2eL57u06AVbqGsmi9PJXMtrYRXx/nwVIBro0igIej0Bv+v369kkF5Sxaxgd2YG\nudc6D9TlKvEgyC6VcyKmkBNxYgpl1YzzdWZCL2dCujSO0CqVGm5nSjkTLyY0U0pWqQJLCxGT/V0Z\n1t2RwV4OZq2E6sOj3roGUFCl54eLabzzN21YU4oqeftgHE5trNmyIAjfe7r4x/o6U65Q89q+aG5n\nSlk/I6DOBPz9EASBbbey+eZcap3J5Pux+04OX5xKZp5vc5aPMLs6FmnFVczfFMpT/q68PKYbl5JL\nWD22e+2DeiA8j4+PJ/DplF4m7TJVKi0vbA7DoXVzvp7mb/SFvPe3r57uY/bruelGJltuZrN7cUht\n9KfU6HhxVyStrC3Zu3SASWlfqdHx2r4YcqQK9iwZgJOtDZfSzdyru8lxc/dKEAxToJ23c3mmXyfm\nD+pSr0xDqdGx+UYWP19OZ3awOxfWjPhHuuvlKi17w3LZeCMLb6fWzAgyrKzSmCJIU5BfXs25hCL2\nhedRKKtmvJ8zbz/Wg34e9o3WWxVVKDmfWEx8gYzDUQV4d2iNjVUzunewZefCYOybYKUChlzU7YxS\nyhSaB7kk4CEiJztrEUdXDG5Sc+69kKu0fH8hjT1hubw8xqDivv8PfzpezLuH45gZ5M7JFxtveyKr\n1rDuTDLh2WVmFwi4H1qdno+PJ1JUoWT34gHkJYSZ3e5WRikrdkTw2ngfpvUz9MCN8HFCq9MTliXl\ni9PJhGZK+WVOoAkxSeVq5m0Mxc/Vjo8m+xlda5lczfIdEXR1bMWH9/0GBnJYd8bgqb59YXBtKbtS\nqWHRlnDsWzXnP1N6mUyvSqtULN4aToc2NuxaFFJn1CgIhuqquXt172ILP88JbNBb6VxCER8ci2dE\ndyeOrhj8j9jPFlco2XwjiwOR+fi7teXraX0IdG+88VxjUFql4kSsYdWVtOIqZge788YEH4K7mC5y\nYA41zpnnEou4mFxMlkTBsG6OjO7hxNJhnrxxIBYnW2u+mxHQqBxppVJDeHYZV1Ik3EiXkF9WzcRe\nHent9uBmcw8NObWyEj0QMQmCwJmEIj49nsBgb0ezFR5JpYr3j8YTX1DB9zONRYEN4URsIZ+cSGCC\nrzP7lw5s8EGoIQarZhasnxmAXQsr8hJMtzsclc/+iDy+mxFQ6+d0KbmY3XdyuZ4moWVzS4orlawc\n6WlCTEUVSl7ZHcXw7o68PLqbyRJPczbcZoKfM6tGeZu8cIIg8OGxBG5nSI1Eg1K5igWbwujp0sYs\noeVKFbx9KI6gLvasGdu93r+VhYWI954wXej5UnIxa/bGMDvY0GdWXxk8Ryrn/SMJZJXK+c9Tf88G\nuQbpxZX8fjWTk3FinvR3YfeiENyb2BReH6rVOs4lFnEwMh9JlQoPh1YsGebJEG/HJkVjf97N9Vlb\nWjCmZwfWTuxBX/e/moQ3XM3Ao31LPphk+neqgVqrJyrXoBi/niYhWVzJE31ccLNvyadTetHL1a72\n/s95wOt9aMjpQZBTquC9I3HkSBX8Z0pvE2dKQRA4HFXADxdSGd2zA1/d7aKvC4IgUFKpIklcSVJh\nBTvv5JApUfD+Ez2ZN6hLg+NJEVfwwpZwxvk58/p4H7MPjiAI/Hw5nW03s/lzfn8jgWelUsuoHk64\ntm3ByTgxbVs2Z9Wobkb7R2RLWbYjkrkhnVk+wsvot+JKJbN/v834Ooippg0mKrecnS+E1FaeJFUq\nZv9+m8kBLiwd5mmyX7K4kuf+DGXZCE+TnNe911VUocLZzrT0r9bq+exkEpdSivl1TiB96yk8KNVa\nfrp7f5aP8OKXOX3/9jQrvkDGTxfTkau09HFry8U1D175vR96vUBolpQDEXlcS5Xg6dSapwJcGevr\n/MBTzwD3tmxdEISno3kb3oVDupr8nyAIpBZVGlwv0ySEZZXh79aW3p3sWDO2O4Gd2/3jK7A8Iicz\nqFbr+PlSGpG55Qz0bM+vc/vR3NICpUZHUYWSQpmSyJwyfr6UjrWlBX/MM+3QN4fnN90hKrecro6t\nKSivplCm5LMpvZgR1LADwZl4gznbB5N9zZbcATRaHR8cTSAsu4wDywaZvMiP9erIB0fjuZNVxggf\nJ1pbW2LVzKI2xN8blsuWm9lM8ncxISZxRTXP/hF6V+Rnmt8SBIF3j8SRWFjJlueDapXbNYQ28a4b\nwf0vQ3h2GYu3hvHO46aCztrr0gus3hNNpUrL788a51XzyhSsuCvqPLB0oFFZXK7SEl9QQVGFkqIK\nJdG55ZyME+Nka82hOtYebApicsv57nwqsfkyXhjSlVnB7k3q5q8PeWUKTsaK2XIrixZWzZga2InV\nY7rRwYzau6lorE5LptBwM6OUC0lFXE2VYCESMbGXM9P6ufHtdP8mSRAeBI/I6R7UiPQ+OpZIgHtb\nPp/au1Zp+5+TiWy8loVTG2ssRCLyyxS42bfk2MohtLaxNDpGXbmF357tR2hGKav3xuDl1JpuHWwb\nJCZBEPjhQho7QnPqXA0FDP1mq3ZG4mhrzd4lA0zaOrQ6Pe8ciqOsWsO2hUGM/eYKG+f35/0j8ZxN\nKAIM6m13h5Z8NyPAaN+SShWzfr/N3ODOzB9sGuHVeATF5VewdcFfxFRSqWTmb7eY1MfVLKHdzig1\nNCQ/06dOaw2ZQsNXd5R4uGhZf9+4rqVK2HA1g4m9nHlhSFeT+348tpA9d3JxtLWmoLyaJHElvq5t\nOLh0IBYWDx4tReeW8825FNKKK1k6zIsfZwf+I1GDUq3lTGIxe+7kEl8g47kBHvw0qy9+ro3TMv1d\nCIJAYmEFF5KKuZRcQpK4kicDXOjRsQ2Lh3nStX2rJo/j76gBHpHTXSSLDY6Iaq2OL5/pbdJL9to4\nHyb7u7D2QBxqrZ62LZtzdOVgI2KqcRhYNdLbZAqo0en541omf17L5NOnevH2oTh+e9a8v1QNFGot\nX51OJiKnnMPLB9XpUV2hEpj5+2087yao78+1qLQ6Vu6IRK3T8/NswzRm7cQeuNi1oFO7Fnw42Ze1\nB2Jxt2/JcwM9jPZNKpAx7bebPD+oa53E9NOlNCJyyti2MLiWmMoVauZsCGV2cGeeN7NfaKaUZdsj\nWD8zoE6P8/zyal7bG42HnQU/ze5bO42tsWH56VI6388MqFMcOa2fG34udryyJ4rW1pbY2liybUHw\nAxNTXL6MTTcyuZ5WyrIRXvw6t2+DmqnGIL9Kb4hoM6XYtbRien93xvasf7HMfwpVSm3tQpkXk4vx\ncmpFd+c2rBz1YItlqrQ6onNl3EwvJaGwgorqR9W6B0bNopfH7q5hNieks0m1o1qt47cr6Wy/ncOL\no73ZfSeXNyf2qH0RBUFg151cvjydzKKhXU3kA7lSBat2RWJrY8WxlYO5nFKCn6tdvVPBXKmCRVvD\n6dHRtt7KVZZEzse3q5ke4sIrY7qZfNkUai2LtoRj18KKH2b9tRT4lEBD79bw7o7M3nCbZSM8+ep0\nCuP9nFFr9VxNLWF/RB4nY8V4ObU2G/kAfH8hjeMxBexa9JcsoEql5bk/Qxnu48j8QR4m+4RmSlm6\nLbxeYsqUyJmz4TYvDOmCh0ZZS0wqjY53D8cTnVfOgaXmbVjAkKvZcDWDveF5vDC0K5tvZPH2Yz0b\nZRhnbizrziRzO1PKmjHd+OQp00pjU6HS6jgZK+ZgZB7R2UrmDLTk5zl9/yuLVeaVKbiQVMy5xGIi\nsqQM8GpPSFcHlgz3bLIgWavTE5NvIKNcqYKj0QV4OrUmpKsDM4PcCOzcjl2LH2ycDy05qbV6tt3K\n5kpqCW7tWnL2lWFmk5gXk4t593Ac/m7tOLpyMLcySrG0EDElwJAfKSivZv35VOLyZUYd9jU4Gl3A\n+0fiWTrck+cHdcHCQsToHh0Y07NDnWO7lVHKyp2RLBnmyfP3LSpwL6Jzy3lhSxiTPa1YPba7ye8V\nSg1r9kTTtX0r3pvka5JATyuu4tMTibw2zgedIDCkW3u238rhtyvpeLRvhbi8GgsLEdsXBpsdw9ab\nWeyPyGPv4gG1bpJKjY4Fm+7g52rHG+N9TPaLySvn50tpRlXE+5EkruC5P0N5ZUw3pvd359KlbMBQ\nrl68NQxPJ1v2Lx1YZ36nuFLJ6j3Rhhalef2JL5DRytqSyf4Na8fuP87muwuELhzStU71fVOQK1Ww\nIzSHvWG5+Di3Yd7Azsz1UDB6pOnf759CTU7xTEIRZxOKcLJtjkNra2b0d+PHWQFNImxBEEguquR6\nWikpRRWciBHj2q4Fg7zaM87XmTcn9mj0gg8N4aEjJ0EQOJdYzKcnEnGzb8nbj/Uw8lmqQaGsmp8v\npXMpuYSPn+zFsG4GB8dernZ8PysQkcgggvz8VDLzB3rw0WQ/rO6p+lQqNbx3JJ6Kag2bnzd2vjRn\nC1sztm23sjmXWMzX0/owxNvUNbIGNS0hn0/tjVVxosnvZXI1z/4ZSqB7W957wtekNF8TmawZ152p\nfTuRXSonpIsDZQo1Y3078NbBWLyd29BJrTU7nTweU8CPF9PZs3hA7e86vcCre6Pp6dKGdx7raUJM\nGSVVLNgcxqdP9aqzdB9fIGPVzkjeeqynkbiyuFLJ/I138Hdry/tPmBJtDa6nSXh5dxQz+ruxapQ3\nls0scGpjzRDvhu1QaqBQa9lwNZON1zOZGujKhdXD6/ybmUN+eTXWlhbY2lhibdkMQRC4kV7KphtZ\nVKu1dHc2eInVaLAuFTfSJL0J0OkFwrKknIoXk10qJ71EzpgeHfhgki99O7drkhlecYWSq6kSrqQU\nE50nQy/c9TXzcuS1cT5/y3mgPjxU5BSTV84Xp5LR6vW890RPEzsTMOSG/ryWyS+X01k4pGttn1wN\nujq2Jr+8mlW7IsmUyM36MYVnl/Hy7igGebVn/Uy/Rn1ty+QqZv1+C6VWz6b5QfUumnA4Kp+PjiWy\n4TnD6iWX7iOn4kolczeEMsLHidfHm5qJZZfKmf37LV4e411rzVFzvo5tbVi6LRxHWxtsLC3w6WhK\nkDfSJXxxKpmN8/sbVbw+OZ5ISZWKr6aZ2gAXVyh5bmMoa8Z2qzNqTCuuZN7GO3x03+KaxQo97/58\nk6f7dmLlSPMtOobcVzp7w3L5drq/Uc7P2rIZjSmiCYLAoah8dt/JpX1raw4/QEVPUqVi7h+3KZOr\nqVRqETAQhVs7G5YM9+KpANe/HX3VBY1Oz830Us4kiDkTX0T71taM93Nmen83ujehIVepMSxLfiWl\nhNyyam6mlzLQ04Eh3o6sHueD+39h6gkPETmVVAss3BzGy2O68UzfTmZVtLczSnn3cBwd7FpwYNkg\nk/m3Xi+w/bahxWTFSC++nuZvlHzW6vT8dDmNI1GFrJ3Yg/F+zvefohZSuZrQTCmRuWWEZkiJyi3H\n1saSC2uG12loV+sMEJ7LnsUhZtXPhbJq3jwQy+N9OrJihOmLnFem4MOjCSwf6cX0/saVQr1e4O1D\nsTi0tubjJ/0Y8/Vlk1xTalElq3ZGsn5mgJFj5B/XMrmSWsL+JQNN8jFVKi1rD8Yyo7+7yTlrkFOq\nYO4fobw5wceImDIlcj67Xc3aJ3rzdD83s/tWKjWs2RtNcaWKXYsGmNVCmYMgCFRrdMiqNZyIKeSn\nS+l0tLPhg8m+D2wg1761NbsXDWDrrWy238pCEKBj2xYcXTHob1UI64JGp+damoTrqRL2R+Th0b4V\nE/yc2bdkYJOINbtUzqXkEpLFFRyJLqS7sy1DvR1ZMrQjP84K/MdthxuDh4acrCzg4prhZvMUhbJq\nPj2RRER2Ge9P8jXbhZ5RUsUb+2PR6vXsWRxiYviWUVLFy3uisWthxbaFQTjXs1YawJenkxDLlHRo\nY0OGRI5lMxEnXxxSJzHd6wywf9lAsz5EuVIFszbcYm5IZxYN9TT5vahCyewNt3luQGdmB5t6Bn1+\nKonUoiq2LwzBqpkFx1YNMRL6FVcomb/pDm891sOomnk+sYg9d3LZNL8/x2ILaNuiea3trl4v8NKu\nKDq0sWHZcNMx1Rx37p+3WTbcszZRD4Zk/+zfbzHJq3mdxJRTquDj4wm0t7Vm/cyARiWqk8QVzNkQ\niqxaTTORCL0Aap2eKQGufPWM+cUfGoOMkip+v5pBjrQaD4eWTOzlQnyBjB0vhPyjxKTTC9zJKuVQ\nZAGn48V4tG/FtH5uHG+k7znUeItLuZRsqNJVKLUM6+bISB9HXh/fo07rlv8mHhpyamstMiEmpUbH\nztAc1p9PZW5IZ76Y2tuks12u0vLTRUNP3apR3swK7mz0FTE4FOTx6YkkXhrtzdyQzo0Kn/8zpTc7\nQ3P46nQyo3oYppeudazmolBr+c+JJPLLlexaNMCsMrgmh7RoaFcTOQAYerFmb7jN9P5uJgZzYGhZ\nOJ9UzL4lA2rvwb3nqVbreP9oAjP7u/PUPS6UKUWVvLovhj+e60demWGJrf1LB9b+vu5sMhVKDT/N\nDjR7X6rVOhZuCWNuSGcjj/KcUjmzN9xmxUhvXKozzN6XmoLA8pGePDegYYV9Dbp3sOXUi4O5mFzM\n56eSsbQQMSPInZdGd2t4ZzOIzZPx48U0QrOkzAnpzJqx3QnNlPLJiUQOLhv0j0gCBEEgMrecI1EF\nHIsppI+bHcFd7DnahOXJSqtUXEgqJiq33LAMulNrRnZ3MkTBzm0emJT/r/DQkNO9EASBk3FiPj2R\nyGCv9rW5hUqlhjtZMsQyg6I4IruM0wlFuLVrwaEVg02sPcQyJa/tj0Gl0bJnUQheZhLr5qDS6vj6\nTAqXU0rYtjCY5/4MZcuCILPbSqpULNgchrdjKzY829fsaqv5VXq2HEtgxUgvZpoRdcoUGl7dF8NE\nP2eWDfcy+f14TAF7w/PY8nyQWdWvIAi8tj+G5s1ELBvxV/RTrlCzaEsYb03sgaOtNU/9dINvpvvX\n5q8OR+VzOKqAw8sHmW0R0esF1uw1VBMX3KOFKq1SsXRHBMtHeDEr2J1Ll0zJ6XxiEa/ui+GzKb0Y\n61v39NkccqXVfHk6ifQSOdP7u3E1VcKKEab3pSHUiEglVSqe6duJr6f3qc0nObS2ZsvzQTg2sZv/\nfmRK5ByMzOdYdD6tra0Y2cOpzim9OaSXVHEjrZTDUfkkiysZ7N2eCX7OvDymW4N++P9rPHTkFJ8v\n48NjCciqNXwx1bhfbm9YHsdjC7Fv2ZxsqZxMiZx+ndux8wVj4Z6hp86QlH52gAfLRng22mu5UFbN\nkm0RdGxjw97FA8iQyOnvYW92kYMsiZx5G0N5oo95DRMYFhP44o6Sdyd1M7vogVylZd6mUII87Hl5\njGlkcCujlHcPx7NtYXCdU4IfL6aRUypn9+IBtWPQ6vSs3BnJqB4deKx3R+ZtDGXx0K61FcbUokp2\n3s7h17l966zmfHc+lQJZNTtfCKk9rlKjY9HWcIZ6O9a5sOiBiFz2hOXxx3P9mmSZq9cLbLmZxfoL\nabw02pu1E3vw2PfX2L4wuNG+TTWVtw1XM0gvkddORe8n36Y0f9+PcoWao9EF3M6UcitDyhN9OvLd\njMBGKcUFQSA6r5zT8UWciRdTpdLyZIArK0d5E9LVvlHTXo1OT2ROOdUaXW2V+n+Bh4actHp4ZXcU\nV9MkvDHehycDXE2SfPMHedCulRWfnkiit6sdcpWOzc8HGRFTcaWSdw7FYWlh0eDS3/fjVnopq3ZF\nMn9QF5YMM7Rb9HFry7ppfcxuv/lmFi8M7Wo2PwQGxfK8jXeY5dPcLDEZXvQwujnZ8sYEU81RWnEl\nK3ZE8P19ye17cSGpiO23czi03Hh68u25FFzatuDNCT68czge93Yta6OfarWO5TsiWDikq5Hf1b04\nlyAmOrec3+b+pYTW6wVW742mo50Nr5rRbQHsC8/jy9PJbF8Y3OBCD/ciu1TOq/ti0OuFWh/y4gol\nnzzp16iloABuppfyzbkUSipVrB7TjfF+zv+IGR0YyP5Geim77uRwNVXC8O5OTL/bw9bQOWpkAyfj\nxJyOF9PCyoLHe7uwbpo/vV3tGjVdyylVcD29hPOJJdzOKL2bx+oEPCKn/3MUyPW4tG3BxTXDzeZs\nUosq+eR4Iiqtnh9nBfDG/lg+nOxb++IIgsCR6AI+OpbAtH5uvDjau9EqYUEQ+O1KBucSi1l3n34p\nWVzJwi13+G1uP5OX5N3HTbVCNYjMKWP9+VQ+ftIPG4mpTkaj07N6bzRtWzbn0ym9TI5TXKFk3sY7\nrJ3Yw6TVpgbpJVWs2RPNpueDal0bAa6klLA3PI9jK4dwIk7MjXQJx1b+tZDAB0fj8XWx45k6VhAR\ny5S8cSCOX+cGGk17Nt7IpEyu5s95/c2+UHvDDJ7q2xeGNOhqWQNBENgblscXp5NYOdKbOSF/5Qyd\n2tgwoVfD6+VF5JSx+04utzJKWTXSm8n+Lg9ESoIg8Mb+WKwsRTjZ2uBka02pXE1UopLXrl/A16UN\nY3o6858pvRsUMmp1hoT2ibhCTsUVMaCrPd062LJ1QVCjSFup0XEro5TQTCmn4sRUKLUM9W7PpD4d\n+Xxqr7+lXSquVHIns4yYvHLkau0DH+ehISeXVhasGWf6Na5SafnuXAr7I/J5cZQ3s4Pd2R+RR1fH\nVoy663ddVKFk3ZlkYvJk/PFc/ybZ+1YoNby6NxpxhYqfZgca5a1q8ibvPt7T7Ne7LmK6kyVlydZw\nvnymNyN9OnDpkjE56fUCr+2LoYWlBZ9O6W26molaxwtbwpg/0IMpgZ3Q6wXWHoxl3iCP2umlXKVl\nydZw1ozzMWqzEcuUrN4bzfoZAchVWt4/Em/kQnA8tpDQTClH7iGre6HTG1ZSeXZAZ6Ny/a2MUn69\nnMHRleYTyCdiC9lyM7tJxCRTaFh7MJb0EkMF8n71fkNIKarky9PJxOXLeHG0N5886fe3I6UJvZxJ\nK67idqaUG2kS5Godfg4WbFsYbFYMfC9q7FOOxRSQI1VQJtcwoZcz+5YMaNSqKfnlBs3SydhCbmdK\n6dHRlsd6ubB+ZgA9Oz54QjyvTEFoppS04ipOxokprVLR38Oeod0c6ePWlk8e6KgPETndn4+tEdwd\niy6kXavmnH5paO1X/Ik+Lkz2d0UQBHbf7ZmbHezOR8v9mrSefEJBBe8cjqNHR1ujMrdBCW5Y+rpG\nSNlY3EiXsHJHJN9M92eomXyAwSEgnvyyajY/H2SSC9HrBV7ZE0VXx9a1Dbk/XEwjuaiyVtdVkwAP\ncG/LzKC/SvhanZ63D8XybEhn+nm0Y83eaFaN9KpVvxdVKPngSBx/Pte/Tq+hX6+koxMEI0uWMrma\nV3ZH8cXTvelgRoKRVqbj56txd6OCxhFTjaWNa7sWrJtWv8/W/SiqUPL1WcPHaEpAJ76f2Tg3yIaQ\nKZETkydj013b3lbWlrw42ptu+tw6iUkQBGLzZRyPKeRwdAFtW1jxRB8XFg7uUrsUlFSuRqnRmYxR\nrxeIzS/nbEIx55OKEcuqmRLoyuQAV9ZN6/PAlie5UgW3MkpJEVdyIk6MSqsjqIs9Q70d+Wl2IN07\n2P4jlb+HhpzuRUxeOe8fiUerF3j38Z70u8+crGVzS7Ikcr47n0pGSRXbFjZuieoa1JDaF6eT+WCS\nL0/c04ZhWCI8ltSiSg4uG4Rru8b781xJKeG3Kxn8MCuQAZ7mO/G/PpvCnawydi0OMbvG3ZdnkpFU\nqdh2t1/uTLyYnaE5HF4+qJY8t9/OoaJaw7pn+hhFPz9fSkcQYPkIL749n4qsWlMrWxAEgTcPxDIj\nqDN+dTQ0pxZVcjm5hG+n+xs5DLy+P4aJvTqaVeznShX8EKXim5n96FlH/upe1LQAfXsulU+f8mOc\nX+OXOZertPx2JYMtN7OY3t+dXYtCsGvx9zyLtDo95xKL2HYrhyRxBc8P6sKOhcG8ui+G6f3dWDTU\nk0uXck32y5TIORVXyJ6wPARBYJK/K9ueDzJbEX7nUBznEovoaGeDp2NrKpQabG0sic2vwNG2OUO9\nHflosi8B7k1rW6lBUYWSG+kGoWdUnoxyhYaQrvYM9GzP5ueD8HRsupVKY/BQkZNYpuSbc8mEZZWx\neKgnT/ftZMLwaq2e366k88e1TF4a3Y2vnunTpD+oXKXhnUPxxBXITMSaYpmSRVvDcLdvyd4lA+td\nIPN+nEso4vX9Mfw6t68JmdZgw9UM0oqr2LIgyGThAIB9YbkkFFTw69x+WFs2I7W4kncOx/Hr3H61\n/XFRueV8czbFJAEelVvOphtZHFs1mNh8GTtuZ3Ni1ZDah/JARD6FMiW/zDFvAyMIAu8cjmOCn7NR\nVfBIdAFWlha8Ot50yi1XaVi4JYzHulgxwse839O9UKi0vHUojsTCCvYvHdjoBSL1ekMUfTSmgDY2\nVk3SDtWF0ioVO0NzOBMvxtqqGXNCOjPezxlry2b8cCGVPm52vHJf9VRapeJYbCEHIvLJK1Pw7ACP\nu6IR1U0AACAASURBVMtd2dX78n86xY9RiU4cjMznckoJWr3ABD9n9iwe8EDLnsmqNdzKKOV6moRC\nmZI7WVJCujgw0MuBxcM98arDQfOfxkNDTuUqgfHfXWFmkDsHlw2ijZmEY1iWlLUHY+nUruUDPaBJ\n4gpe3ReNv1s7Di0fZNRDFZ4t5adL6YzzdWbZ8L8cIUsqVaw9GMtnU+pOQp6ILeTdw3H1ms3tDctl\n4/Us9iwZYFa/Epop5bNTSexaNAD7Vs2pUGpYvCWc18f71B5TVq1hxY4IPnnKz8i6Q6HW8vLuKD6Y\n7Eu7ls2Zs+E27z3hW0toRRVKvjiVxJ/z+9dpeXsoKp9KpdZIaFml0vLpiUR+nmPeF+nj40kM8WrP\noFZFZo95L4orlCzcEkZwF3sOLhvUaOK/N4p+f5Jvk6bY5hBfIGNXaA6HowoY7+fMf6b2NqlYLr+n\nrUij0xNZrGXX1nCKK1W4tmvBi6O8GeLdvt78llSu5myCmBOxYnR6PdaWzfBxtiU2X8Z3MwKaJAGo\nkQ5cSy0hR6rgbEIRgZ3bMdirPTP6u+HzgAJNtVZPcaWyyfvV4KEhJ42OOlfXKP1/7L13eFQFGvb9\nm/SE9N4ICYSQkARCCTX0jqiIuNa1gQqC2Nd1d9Xdteta17proUiRItJ7FQgtCaT3XieZZFoy/Zzv\njwlDJjOBgLiv78t3X5eXF8mZmTOTOc95yv3ct1rHO3sK+aWkhX/ensiMwSHXdGcQRZG1Z6r58EAx\nf52bYDXWF0WRdWfNNkbvLxxqlQGUNKl4ZOU5Fo6I7FFzemtmLWvPVLPq0VE9juUzmoxsOFnE+sfG\n2BBFwTwmXrYuk4/uTiE22NNMftx4kXGxAZZ1EVEU+dPmi53Gi9al0FdHyxjW15d5Q8L596ESRsX4\nW5Wqb+4q4N5RUT2en0Jj4O3dhfznwZFWWegzG7IsDsndcaqshaNFUvY9O5HM01K7z3sJhY1KFq08\nz92pfXtcDLY5pw4D7+0r5EKNnIfGRtvNonsLQRA5XCjl2xMVVLS0s3Ryf46+OAX/Pi4IgmijjiqR\nSCiVqth4vpadF+vxkBhYNDWIW4aE2c14L0Gm1rEvr4mTpc0cL25hQlwgd46IZGp8MOcqW3lh40W+\nfmBEr+zIqmUdHCtp5lRpC+llMiL93ZkwMIi7U/te0Vn5SlB06MmskXO+spXzlW0oNAaif4XBw00T\nnII8JDaBySSYV0/e3VPIHcMiOPj8pGsWjVd0GPjoYBFnKtrYtGSslTuvzmDite15ZFS1sWmJtY3R\nydJmVqy/wF9vSbDaJ+uKdWfMqzVrFo1iYA8N01NlLRyqNvDtQ2PtNotVWgNL12bw1NRYC4Xhy2Nl\nNKt1fHbfcMtxa05X4ebsyMtz460ef7K0hU0Ztex5egI5tQpWpVey75mJVq+fUdXGO3cm9/gZffdL\nOXeOiLRkaEaTwL/2FXGwQMruFWk2x3fojfx5Sw5vzE+64sUKZu7YsnWZvHprzxrkXXFpEPLW7kJm\nJ4aydvHo624Maw0mcylV1EydXMOitBjmJlv70v1zZz7rzlYT5OmKfx8X2tr16IwmkEi4c3gkPywe\nTXXeeSZfRa75uY0XOJDfxKS4IG4dGs77C4fi0eW7KlObKRg9TZK1BhNnKlo5UiilvFlNfoOKiXGB\nzE4K5fXbkwi8DiZ7k1LDuco2zlW0crayjYA+LhgFgdRof5ZOHsCwKF983F34+sFrfmrgJgpO3ZFR\n1cpr2/OICehzzQ3vSzhTLuO5jReZkxzK1ietbZ1q2zp4cm0mI/r5sXXZeKugt+FsNavSK/nsvmGM\nHWCfY/TNL+WsPFXJj0+M6VE+5WKNnOXrsnhssItdVU2TILJifRYTBgZaXE1+KW7mbEWrRa4XzFyr\njw+WsHnJWKvyql1n5KUt2by1IBlPVyf+/FM2L89JsJSfBpPAa9vyeGVeglUJm14mY1SM2dBRqtSy\nMr2K/c+aA1pho5I/bc6mXq6hj4uj3Sb354dLGRbla6Fy9IRLfbivHhhBai8Y2VWydr46VkZ2rYL/\nPjiyxxL5apB36Fl7ppqVpypJjvDhsQkxjOkfYDdju2T6uTq9kn15jWgM5gXj9xYOsZRt1b14zcVp\n/XlzfnKP5epCO5yyOrmGw4VSihqV/JxVT0KYF5MHBXPXyMged+nSy2TI2nUMj/Kz2Rioa+vgdHkr\nZytaOVMho4+LE2G+bqRG+/PmHREkhfvcUMPQmy44NSm0vLO3kPQyGS/Pjee2oeHX3NzTG018cqiE\njedree/OITbN2uPFzTy38SJPTOzP4gkxluc3CSLv7CngYIGUbx8a2eN+lFJr4HChlB+fGGu3TANz\nSbho1fkexeYA3ttbiNYgWFQy6+Uant14kX/fO8wiK6I1mFixPos/z4m3OZ939xYyOiaAKYOC+e/x\ncnw9nFkw/HJ2svpUJWG+7szqstuWW6fg6Q1ZHHtxCu4ujnxxtIw7h0cS4u3G2jNVfLC/mMVpMXx1\nrMyuiJ1MrWNzZi3bl4+3+54uYVd2A69tz71itnAJJkHk+5MVfH6klCcnx/L67dfHV2pW6fj2RAXr\nz1YxPyWCHxaN7pE7pTWY2JXdwKHCJi5Uy5k3JJwAT1eemNjfqu/WWwwOv/rNUxDMqyu/lDSzO6eR\nJqWWKYOCmT44hBdmDupVhtiuM/JzVj2vbcvDQSLBw8URvz7OyNr1dOhMTI0PJinCh0fSookLvjGU\ngZ5w0wQnEfj3oRK+OVHO4rT+vDE/6bpsfEqlap7beIHkCB92r5hgxXA2CSLfnazg218q+Ow+a+F9\ntc7Ia9tyqZNr2PrkZQsjo0ng5wv13Dk8whLEvN2cWffYmB7PoVrWzvObLvKXufHMGBxiIzYHsCWj\nlr15jfz85HicHR3QGwWeXJvJo2nRVjSE9/YVEhviacPmPl/RSkZVG+sWj6FOruF4STNvzr/MNG9r\n17PyVCUrHx1lFdw/OlDM0skDcHdxpEGhYWtWHQefmwTAgCBPdq1I4z/Hy5mWEEJFS7vNef94voYJ\nA4Ps8p0uYU9OA3/fkcfqR0df9aItaVLx2vY8TILI1ifH93qC1xX1cg0bzlWz6lQVtw0NZ+dTE3rU\n+q6WdbD+bDU/nq9hSKQP94+K4p0FQ7jvm9MsGB55XYHpStAaTJwoMbvsbr/YgJ+HM9MSgnljftI1\nUwdkah0mUSTIyxVPV0eaVTpa1DriQoJ5f+FQYoP/N1O6S/jdBSeJRPIdMA+QiqKYZOf3EuATYC7Q\nATwsimLm1Z63TiVQ0Khkx/IJ1+VXJggia05X8fHBYp6fOYj7R0fZOOE+++MFdEaBbcvGWfmLVcs6\nWLz6HJPignh7wRBL6qvRm3hqfSY6o8C8IWG9akJKVVoe/O4sj6bF9NiryqpuY8fFer55cKRFXvbt\nPQUEerqypIvO09EiKRmVbazuFmB0RhMv/ZTNCzPj8PFw5uWt2Yzo52d1YX92pJRJg4KsemxZ1W3k\nNyj5/H5zL2vD2RruSe1rCeBj+geg0Bj4KbOO124djKxdb3XeJkFk7elqvnxgOD1hT+fkcu1jo4kL\n6TkwCYLZoeXfh0v4yxzzkOJa7/J1cg1fHCllZ3YDj46P5sBzE+3qaImiyMlSswxvRlUrj6bFsPXJ\ncZZyvLatgzlJYT3qWV0rFB0GTpQ2s+NiAydLW0iM8Oa2oRFsWRp9RQXV7ujQGzlX0Wp27S2TUdva\nwZzkMAaFehHo6cL6s9WsWjSC1CuYlNqDIIiUNqvJqpbTrvt/a31lJfAZsLqH388BBnb+Nxr4svP/\nV0Sgh9le6HpQJ9fw4f4iylva2bJ0nE35c6ZcxtMbLrBgeATPzYizKhnSy8xmBU9NjeXBsZe1nlrb\n9SxadY6YgD68c+eQXtXqig4DD357lgXDI3t0xjWrHmTw5vxkSxN9x8V6ihpUfPnHEZYLtLVdz0tb\nsvn47mH4dEv3vz5WTkygJ7OTwvjxbDUZVW18+IcUy+9rWjvYklnLgWcnWT3u44MlLJsSi5uzIwqN\nge9PVnDguYlWx/x4rpopg4KYGh9MP38PFn55ii8eGE6wlxtHCqUEerla+meZsebz8gYyAcXOWl7Z\nlsuqR0ddMTDVtnbw4uZs9CbhurKlBoWGb3+p4KfMOv6Q2pfDz0+yS/O41BA/UdJCqVTNQ+Oi+fTe\nFBsZ3kg/DxuT0muFVKnlYIGUPbkNZFXLuT0ljOmDQ3hrQXKv3YUFQSS/QcnpchmHCqRk18pJDPdm\nQlwQb8xPYmikD06ODnx9rIxd2Q1sXtI7rphaZ+RCtZzCRiXHS1rIqjY3x6clBPc4we0NfnfBSRTF\n4xKJJPoKh9wOrBbNbn2nJRKJr0QiCRNFseFKz+t2HdsHXZnei9JieGdBMs5dGsYmQeTzI6WcLpfx\n9p3JVsaQomjOtH48V8Mn96RYOY1Uyzp4Z28Bo2MC7Gp824OZkHiOtNhAnppq/4uuNZh4fHUGD42L\nZnqnTndZs5rXOvffLi2Tmtnc2dyeEmHDNC9vVvP9yQp2rpjAmYpWXt6aw6K0GKus7oP9RTw0Ntqq\npM2tU6DWGflDp2Ll5oxaJg8KtirPRFHkYH4Tf54Tj6+HCx6uTjSptAR1XvjHS5p5oAeZFIDnN13k\nm4dGXvELv+1CHZ8eLOGu1L48NqH/NZU1zSodXxwtZWtWHXeP7Mv+ZyfanWJJVVp+SK9i7ZlqUvr6\nsigthrED7DfEfw2kSi178xrZld1AlcwsrXNPahRfPTDimloSWdVtrDpVyYnSFrzdnbltaDiLJ8Qw\nun+A3en0uAGB3J3at8ceVZPSTMwsblRzsKCJSlk7ieHeTI0P5o9j+vHhH4beEK0oya9x5Pyt0Bmc\ndvZQ1u0E3hFF8UTnvw8BL4mieN7OsY8DjwMEBQWN2LhxY6/PQaYR+KlET61aZHGyK329Lmc2OqNI\nptTID/l6gjwkPD3cDT+3y7/Xm0TW5OupUJh4apgrIX0uX9jlchOfZum4dYAz06J6J4WqN4l8lKEl\nxtuBuwa52FwEarWaPn368H2uHr0g8sQQVyQSCTqTyOvpGqZFOTOly2ul1xvYVW7gtXHuOHdT9fwm\nR0dYHwfadCKn6o1ojPDJZHd8Ot9ftdLElhI9S4a64e50+bFfZ2vp6+XA3BgXBFHk5V80LE52ZaBf\nlwmmSuDDDC0fTHJHIpGwvUyPSi9yf4Iroiiy/HAHb6V54OPa2XtbPNPqfaa/s5vEQPsXpcYo8kO+\nnjK5iSVDXYn26f3dqMMgsqfCQLlCINxTwi39nfF1tc1k69UCeysNZDYZGRvuxNS+zoR5/vrplFqt\nxtPTnI0rdSLnm4ycaTBiEiHIXUJqqBNJgY64OF6nfLDcRJVSICnQkSCPaztfURRp6hApajNR3Gqi\nXCGg1IvE+TkyyM+BWF9H+vk4WH2PumPKlCkZoiiO7PGAHvC7y5xuJERR/A/wH4BBgwaJkydPvupj\nBEHkhzNVfHS8mCenxPHwuGicHR1Yc7qKY0VSipvUNCg0GEwicSGe7HxqglVJVtemYenaDPoG+LDv\n8SFWd7h9eY18/ksOH9wzwmpMrtGbehwRG0wCS9ZkENvX12onrSuOHj1KnhgJHjJWPnhZH+mdPQWM\njNXy97tTLAGttq2DZ4+fYP1jacR3o09sv1hPrbaIinaB1Bh/3Fqa0ZkM3DJjsqVUXbY2k1tSfZjT\npXfVqNCSf+w4Xz02BR93Z44WSQn0LWLxfGtlgo8PFjN/hJEpUwYD8FHuCV6aHc+42EBqWjvwTD/F\n7bOmWI7v3khctnC63c8oq7qNNUdKiYp05b9LBvfa3URrMLE6vZKvT5sb9F/fNdDuVkBGVRubM2o4\nkN/EA2Ni+PiR6F6XUr3B7gNHkHoOIKu6jZ0XG5gcH8xz88KYFBd0QxaOJ1/DsaIoUtas5nR5K2cq\nWmnr0FMmVTMqJpC5o/0ZFe3PgCDP/4mk7/+NwakO6Kp2H9n5s1+NEqmKl7fkALBpyVirvbggTxfm\nDQnjQH4TGoMRQYDty9OsAtOJkhZe3ZbLvaOirCgEoijy7YkK0stlfP9IqhUnacfFev59uITdKybY\njLdNgsgzP15AIoEP/9Dzjl+W1MiPpVVW+3Abz5svpm3LxlvOQxBEXtyUzWMT+9sEJrXOyFu7Clgy\nqT9xIV4cKGhi5uBQduc0WM6ruEnFmQoZ7981xOqxq9MrmZ8SbikbDxdKecSOGeje3EbemG9OhpuU\nWiplHRZ+Ul69gqRr7E+YBJEvj5ay8lQlb8xPvqLbTffHbc2qY9WpSiL93Nnw+BgbkqsoihwrbuaL\no2XUyzWsmBrLq/MSr2kf8krQGkwcLZayNbOO40UdTBzUxPyUiBv6Gr2BKIpUtLSTXi4jvUyGUmug\nvLmd0TEBTBwYyOj+/vT187juklUQrr8y+78xOG0Hlkskkg2YG+GKq/WbrgatwcRnh0tZd6aKP82O\n5w8j+9rcGcJ83HnmxwsMj/JjYLAXt3SZrgmCyBdHS1mdXsXH96RYOZMYTAKvbsslq1rOtw+nWvGW\n1pyu4vPDpXz/SKpd3o2DBCbFBXHb0PAeZYALG5V8l6tjzWPjLdylgwWNvL4zny1Lx+HZhWG98lQl\nepPAE3acWT49VML42EAeHh9DRUs7P2fVsfKRVE6WtVgdsyitv1Vmcol5/MFdZjVPhcbA1sw6G+2s\n8mY1re16y6rK+co25iSFWt5Xbp2SxIjeB6fatg6e23gRBwnseCqNMJ/eqTscK5Ly9p5C+rg68ffb\nBttYQAmCyP78JrZk1lAt62Dp5FjmDQm7IYqXgiBypsLsmrI3r5HkCG9uS4ngtlAVt8y45qrnulEv\n7+BUmVlPKqtGjt4oMDrGrL80pr8/Uf7Xt3IiCCLlLeYp3YUaOTWtHWgNwnWf5+8uOEkkkvWYM9FA\niURSC7wGOAOIovgVsBszjaAUM5XgkV/zeseLpbyyLY+kcB/2PDPRSvERzMuLnx4qYduFOl6em0BA\nHxde2HyRu0aYk7e2dj3v7S2kRKpm+/I0K8+0tnY9y9Zl4u7syOal4yzNR1EU+fp4OevOVLPxibE9\nUhskEomlwWwPMrWOD/cXc+8gF1L6+qI3Cqw7W80/d+Rxx7AIK42gUqmKVemVrHpklE0GViJVsf1C\nPTueMq+SfHKwhMcm9mdgiJel+V4qVZFdq+DdO62zpj25DXi6OlmmOvtyGxkXG2CzdnKitIXbhoZb\ngn5evcLqs6poabfa1+sJXYcUT0+zVra8Egoblby5q4A+Lk4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se3aijVf9I+Oj+cvWXCpl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8X7m+tIj1UzMSsmRLurzeRgZ30P2+u62FHfRXSkArfXz6TsGG6dM4zxmdFHrGZw3Yxs/nB2wRFX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yuseUhkR4oZJLCfNSO4JXiJfrCM1/A38a3zpBEBrsdrux+28BqO/5/0mvywfMiMu6d+12+3un\n2OaNwI0APj4+acuXL3c8Z7XZ2VlhZXdlJ/VtMCNGQZK3pM87SU6DlVV5nbR12ZmXpMRfIxF//DY7\nJc02Cs1W1hZ10dQBDw5REuflenJ2WO0sOtSOud3Gbf1V6JTu7/jZ9Va+y+1gZoyCcIPzRWa12Xlq\nRxsjg2RcECoGhubmZrRaLZ9nttNpg7lJriS/H3I76LSJ37M3vjouesHNjD3x+KaSTjLrbNyYcmI7\nK3I6sNlhapScm9dY+GCihpd2t3FhmIwUH+fvWtdm44mtrbw2Vo0gCPxto4XbBqgI0bn/vp9mtqOS\nwmWxzp9bf8MEp/83LvrF5b3tXXaKm22UN9vIbrBR2Cj+neorRSERiDBICNdLCNYJqP4Al5aWTjsl\nTTYqWmzkmm0UNdooa7aRbJIiESBEJyFULyFEJ8FbJbg9v3p+vx7Uttr41842Gtrt+GskxHtJ0CkE\ngrQSAjUSTB6wrtjKytwOrk5QkhF49oHQbrfT0glVFhsVFjvVFhtVFjEWHK61Yum0Y/IQiPGUoJAI\n+Kgl+KoFTB4CPh4SVLIzD1xjx47985tqCoKwFveeEH8HPukdjARBqLfb7S40CUEQgux2e6kgCL7A\nGuB2u92+8XT77jHVPBk2m51Vh8p5Zc1xTDolf5sU55bPBOId7ZNthby5LptrMyK4eXQkypPu0B9v\nKeDN9dncfkEMc4eFuZyMNpudtzfk8t3+Uj69Ib1P9c2fD5fzjx+OsmLhcBeSY05VM5f/eysrFg53\nsrNusHRwwUu/sfymoWL63wvZlU1c88EOtj44zmkZsiOvliXbC51qPXsK61m6rZBXrjph87RoUx5l\nDW08MCmOlCd+4fjTk7nqvW3cMS7GpWi8LquSj7YUsGR+OlWNbVz4ykb2PXqh2ztxW6eVYc/+yve3\njXDh5pyrHXl7l5XjFc0cKjVzqNTMwZJ6apo78FQrSAk20D/Ek6RAPfEBuj9kALjLaiO/Wy0zs7yJ\no+WNWNq7OF7ZRHyAngR/HYmBeuL9xWXpjq2b3NqRCuI2eAAAIABJREFUWzq6yK1qoaC2mSNlTeRU\nNZFd1YyfXoXZ0omPTsmhUjMmrYJnp/cjJcR43jhelo4uiutaKam3UFBrobjOQml9K/m1LRTXWdAq\nZQyJ8OpWEfUgxFNNuElNoMGDAKPK6bj+nzDVtNvt4/t6ThCESkEQAux2e7kgCAGAW+0Ou91e2v1v\nlSAI3wJDgNMGp8YOO60dVpe6h0QiMDU1kMnJ/qzYX8bTqzLx0Sl5aHKCCwNWJpUwf0QEk5L9eePX\nbKa9vYWXr+jvVHe5dng4Fyb58dA3B9mRX8sLM1OdUnyJROC2C6IRBLji3W0svSHdrczEpOQAcqqa\nuXHxbpbdNMzppIv2FXlZ9yzbz/KbToyCGNUK7h4fyzsbcnnpCmf/uBg/Hf4GDzZlVzstF1NDjFz3\n8S6a27scxfxIk4Y1mZVOHKieZZ3dbifMJH7e9i6b24s7t6qF5O561c6Cum55Gvd32l+OVpIUaDiv\npEGlTEq/YIMTJaS9y8qxiiYOlpjJr2lm8bYCCmpbiPXTMSbWh2AvNf1DjET5aH93DUkmlRDjqyPG\nV8elvX6GmuZ2ssqbOF7ZyI78Oj7ZWkhudTMDfQXcxCbUCpnje0zt3Xls6+SHg2X8fLiCTquNgloL\nd3yxjzpLJynBBowecgfxM7qbbnG2+t9qhcxBOj0ZPcqfJfWtFNa1UFLXyv7ievYXN7Atr4ZKczte\nGgUDw4yEe/fNIj8d/kw1p++BecC/uv/97uQXCIKgASR2u72p++8JwJNnsvG2Lhj5/DquzQjnmqFh\nLrpMMqnEwWf6cEs+09/ewowBQdwxLsZlSDXI6MGzM/rx1Z4SZi/awYKRkdw4KtJxUgcZPXhvziAe\nXXGYGW9v5b25aY4p/h4sHBuNWiHlin9v47Mbh7r9EReOjeZ4ZTOPrTjMczNTnLKw64dHcKSskU93\nFtHbTGlmWjCvr8sms7zRpVg9My2YL/eUOAUnlVxKSrCBXfl1DiqCp0aBUiahqqndkbV5aRSoFVIU\nMim5Vc3Y7XbaO21O9lI9yKpoIr2bnJlb1cyI6L7b8ct2FXHV4L7toM4XlDIpKcFGp3Gh1g4rR8rM\nHK9sZktODW+vz6GmuYMLE33x1alIDTGSGmIk0KA6L4Vjk1bJiBilk2lFp9XGj2t/O6vtzP9kNy0d\nXUxM9OfhKYnE+mkRBJEkW1jbQk6VONC8PbeWbbk1rDlahUouIdJHy6AwT7w0CiJ9NET5aAnxVJ91\nbam38udAN56MXVYblU3tlNRZ6OqLw3MG+DMFp38BywVBmA8UAlcACIIQCCyy2+1TAD/g2+4TRQZ8\nZrfbfz6TjfuqBT5fMJR//5bLFe9uY1JyAPNHRLhoOankUm4dE80Vg0L4aEs+41/ZyEOT45k+IMjp\nBBUEgcsHhTAsypt7l+8nt7qJeyfEOSxzVHIpz89MYfG2Qu5dfoD7Jsa56IBfNzwCvUrO7Pd3sOym\noS4ZlCAIPD8zhRs+2c3ibYXMywh3PCeRCNw6Joor39vOY0NOZC8eCik3jYrktbXZ/HuOs+zKJSmB\nPPdTJvUt7U7KnsMiTWzLq3XiSUX5asnpXkKAOIyaVdGEVCIglQh02ex0WN0Hp5J6C5cNFLuNW3Jq\nubMPCd+SegudXTYmJP2+Wa9zhYdC6tDgmpUuBkizpZODpQ0cKG7gm72lPPtTJh2dNvoFG0gNNtI/\n1EhKkPG8OZHIpRIMyrMLDp8vGOo2oMilkhMdvV7okY/JrWqmqN5CVrk4G1hQ28Kau0ejkpzfpa1M\nKtpsnTxyddbbOU+f53fDbrfXAuPcPF4GTOn+Ow8nat3ZIcZPx0tX9Keo1sIb67IZ++IG5o8IZ+6w\ncBcWt0mr5P6J8VyY6M8jKw7xxa5inp6W7DKtH+yp5rMbhvLvjblMfWMLL16e4shMBEFgXobIq1r4\n6V7+camrDs9lacE0tnUye9EOlt80zKW+pJJLeXp6MjPe3sqAUOc7f4yfjqsGh/BFVgHTJp54z+z0\nMN7dmMeRMjNJgSeWNga1nMnJAfx0uNJxMQJkRHvz5A9HnfYb3R2cejhVnmoF9Rax5qOUSWnvshHl\no3HbTSqpbyXYU43dbudYZVOfOllrjlYS5q35w4Xf9hTW0WW1kxJsPO2wsEEtZ2SMj0MNwm63U25u\n40BxA/tLGvhufxm3LN0rqlYGGxgW5U2Mn47Ec+wQnil6u+GcbabTWz4m4/Qv/9PgTxOc/pMI9Vbz\nwuWpFNS08NnOIsa++Bt3dIvHncyZ6R9i5LuFI1i6vYB7lh/gwkQ/bhkT5fQ6qVTCwrExDArz4s4v\n9nPFoGDuGBfjuHBHxJhYekM613+8iwpzG/NHRDhlYdcNj8DSYe0OUEPxOkmvPMxbw5OXJrPws72s\nvH2kU7Z3+wUxjNyRx6bsascF5aGQcsuYKL7aU+IUnAAuTPRj0eZ8p+CUGmzE6CHHbOlwLGFjfDWU\n1rc6XuOlUVDX0hOcJLR3ijWck9FltVHVJIqVVTa2I5MIfUqErDlaybW9ssE/CtmVzXyxq5hjFU3E\n+GkZGeNDQoCOtDDP05pDCoLgsDXvGZJ+7rIUcqqaOVDcQEFtC4u3ibWjGF8dGVHeRPtq6R9iJNJN\n/eq6j3Zy1ZBQJiadgVd4Lzz63WE2ZdcQ768jIUBPcpCeGF8doV5nvyz7v4K/ZHDqQbhJw8NTEri0\nfyD/+imLj7YU8MhFCS46TlKJwLyMCC5M9Oehbw5x6ZtbeOHyFJcLPz3Sm5V3jOD5n7K47uNdvHn1\nQEf6nxCg5+tbMnjgq4PUWzq4b0Kc0z4Wjo1GAG5cvIcl89Nd7vAXpQSwPa+GV9cc57GpiY73eiik\nzElU8Oa6HIZGejuC5lWDQxj53HquGRrmxIgfE+fLA18fpLSh1ZF2K2QS7MCugnrHBHyUj47VRyod\n7zOq5TRYOrHb7WJw6rIhEQRsdrvTXb2isQ2TVolCJuFYZVOfYztmSycHS8ynNQ09H7hqSChXDQml\nrdPKoVIzuwvqWLGvjMe+O0KQ0YNwk4bB4SJ7PN7/1HroIJ4PvYvFD0yKp7XDytFyMweKzWzKruHN\n9TlIBQFfvZLUYLF2lRps4I5xMSz8dC8Hihu4d0LcGRffn7w0mfyaFrIqGskqb2LF/jL2FzVQb+lg\nQIiREC+14zPF++tcbnC9sTm7BnNrJxeluKph/Jnwlw5OPUgKNLBkfjobj1fx6tpsPtySzxNTkxxL\nuPVZVSQF6Qk0evDxdYP5ak8JT608yogYH24eHeV0gpm0Sp6Z0Y9nfsxi+ttbeH/eIEdwCDR68Oas\nAcz5YCfNbV08PjXJ6a53y5gojlc2cdeyfbw9O83lxH14SgLT3trKt/tKmTHwhIpBiknK7kYJn24v\ndAzNqhUy5gwL473f8nhu5gkHGIVMwuRkf344UMbNo0+YHAyN9GJ7Xq0jOMX66ciubAbEpY1KLiXI\nU0VTWxfhJg2WDiuCIHaORr2wno33j0UiEahsbGdQd5E0t6qJmD60mzYcr2JopNfvVks8G6jkUocC\nas/3yq9pYXdhPXsK6vlkawGBBg8QYFCYF4PDPekfYkR9BoRKD4WUtDAvJxpKXXMHh8rM3fWrEr7a\nXcyBEjMJAXq+31/Gj4fKeWv2mY3rSCWCQyDv4l6GPubWTrIrRWJoVkUTqw6W46GQklXRRJyfGKxS\ngg2EeWuI8dWiUcrwNyh57LvDrD9WxT8uSfpdhNE/En8aEuYfjb54Tiejy2pj6fZC3liXw8y0IG67\nIIZFm/IprrPw8pUn+sJlDa3cvWw/EkHg5StT3S4Plu8q5pW1x3nx8lSnebjGtk6u/XAnsX46np7e\nzykItXdZmffhThIDDDw2NdFlm0fKzMz9YCc/3D7CwWDesGEDAfFpzHp/O+vuHePI1upbOhjz4gZ+\nuXuUUy1rW24tr6w9xvKbTlQgdhfU8fj3R1h1x0hyq5sJ91Iz4J9rWH33KGa/v4M194zmgpc28NG1\ng1mxv4yi2haOlDUyNt6XCnMbr18tGnf+cqSCZbuK+eDawfz920PE+Grdqgw8veoo0b46rhzct6Hm\nyTyn0P1NHClrJC3M00F7ON+oa25nT1EDuwvq2F1YT0eXDaFXsEoL8zwjZ2h36Oiy8mtmFSsPlrEz\nv47q5g7kUgG9HAZF+jIgzJPkQAP9ggy/q+DeUyc7VtHEscomqhrb2JFfR151C95aBanBRvwMSg6V\nmCmpb+WFmSmMiPl9A9enwv8JntN/G5WNbdz35QHuGBfjonTYA5lUwrXDI5iaGsiiTflMeGUjD09J\n4LOdRRwuNZMcJC7lAo0efLZgKO9syGHqG5t58fJUl3GTKwaHEOGj4Zale3hocoJj4FSvkrN4fjp3\nfr6Xp1cd5ZGLEh0ZlFIm5d1rBnHjkt0s21XElSe12ZMCDVw/IoL7vjzA0vnpjvfF+euYmOzPa79m\nO4Kap0bB9AFBfLg5n4emJDi2MSTck5L6VnKqmhydnZRgIwU1LZgtnfzrpyz6BRmI9dOx8mAZOpUM\nqUTATyfWkW4aFcnYFzfgqZHz7b5SJzXOhtZOB02j3NzGaDcqA3a7ne8PlDlxtM4EFeY23l6fw6FS\nM1E+WiYm+RHrp2NIhFefll1nCy+taMHdM4fY1mnlYImZXQV1rNhfyt++PoiXRsGgcC+GRXrTP9RI\npEnjlmpQ09xOWUOro4nx5Mqj7CtqYES0iauGhDI43AulTMKyH9ejDgrgYImZ19dlc6TUTP9QI0a1\ngn5BYrBKCtSf8XfsXSfr3YG12uwU1raQXdnEvuIG2rtsVDW1c80HOwkyKonzN5AW5omPTunI0k6W\ncf5P4i8VnLw1Ci5JDeSuL/YT46fl3gmx9AtylckF0fTysrRgkoL0vPBzFr46JU98f4Qvbx7mOBGl\nEoHbLohheLQ3Cz/bxyWpQdw3wdlefHC4F1/cOJR5H+6isqmNW0ZHIQgCWqWMN2YNZO4HO3nihyP8\n45Ikx3YNajnPz0zhsne2EmHSurib3DQqkmMVTVQ2tTllbPdcGMu9yw84zdDdMDKCm5fscSJZSqUS\nJiUF8MOBcu6+UAxOCpmEScn+7C2q46lpyVz8xmb6BRlYn1XtOMF99UqqmtrQKL2558JY/r7iMHF+\nOqcOotnSibH7rl/W0Oo0n9aDkvpWbHYIPUviZXKQgWU3DaO9SwwYh0rNLNleyD3LDxDqpWZ8gi/J\nQQbSI73Pm2edSi51uEKD2DXLrmpmV0EdWeWNvLzmOK2dVtLCPBkd60NCgJ5+QQYUMlG14fqPd3Pb\n2CjmZYTz1LR+bvfhr5Ewpn8Ql3QPe1ttdvKrmznUrdTwa2YlCpmE4rpWMVAF6UkNNpIQoHdyZT4d\npBIBL42Cf2/MI6+6hTFxPtw0Korh0d7UW8TlYZm5jW25tSzeVkBedQsDQo3Y7Tikh6N8RX6Uv/78\ncL9Ohb/ksq69y8qyXcX8mlmFt0bB/ZPi3C7Lblqymz2FDTS3d6KSSWlo7WRykh/vzHHNUOtaOrjj\n831YbXbemDUAk1bJl7uLGRLhRZi3hsrGNq7/eBfjE/y4c1yMI+NpbOtk1vvbGR5t4sFJ8U4/+G/H\nq7n/ywN8d9vwU3aVesZXAF5bm01eTTOvXTXA8fzCT/cyONzTaXm1t6ie+788wNp7Rjv2+db6HGqb\nO3hsaiIbj1ez8LO9YIelN6STGmLknyuP4qcXDSGsNjtRD//I5WnBvNBrYPf5n7NQK6TcdkEMKU+s\nZsP9Y10uoG/3lbDmaCVvu7G/6kFOVRONGc68sL7GVzqtNg6VmtmRV8vW3Fr2FtbTL9hASrCRjChv\nhkT8sbWtsoZWdhfWk13ZxK/dLinJgQaGx3jjp1OxaHM+g8M9+cclyW6dUXr/fn3BahPrY4dLzRwu\nNVNUZ2FbXi06pYzUUCNxfjqSAg0kBupPSRrtsto4WGomOdDQp0tLD2w2UVImr0aUacmvaeF4ZRO5\n1S20dnSREe2Nh1xGpI8oiBftI+qKn3ys/7esOwsoZVLmDgtnxsBg/r0hl8mvbWLO0DBuHu0si/Ju\ndxBqae+isNbCN3tL+GRbAdd+tJNXr+zvlGZ7aRR8cv0QXllznAe/Pshd42MpqW/lcGk+/7g0GT+9\nis9uSOe6j3dR1dTG09P6IZEI4hLv+nRmvb+dQIOKeRknAsjoWB+uGx7BTUv2sPykEZa+MH9kBGNe\n2ODEEL9+RDj3LD/A3GHhjqA4IMRIW6fNSQlzaKQ3j6w4DMCoWB9Gx/qw6mA5/bqXsn56JZWN7YB4\nF04N0jMq1rnb5qtT4m9Q0dzeRYfVhqeb2smugnoG9TG/2IPPdhRz8Wm/rQi5VOKw17plTDQdXTYO\nljSwOaeGt9fncuune5mc7E+ol4YRMd6kBBvPq81ToNGDS7ozxHsnxNHU1sm+onr2FDbww8Eyyhpa\nWb67hRX7ynh8agJDIryJ6GMp2Bd6F8R7dMF6lBKyyps4UNLA0u2FHClrJM5PCwIkBuhJDNSTFKAn\nwkeLXCpB1n2szgQSieDQIz95eW5u7aSgpoXsqmbya5r56VA5EgmsPVqFp1pkoKeGiEvec8VfMjj1\nQKuUcd/EOGalh/LmumwmvbqRv02O56J+AU4njkYpIzFQT2JgIvdNjOO5n7O484v93DQqkoxehW6p\nROC+iXH8eKicuR/u5N4LY/lkWwEPTUlAJZdiUCtYPD+d+R/v4r4vD/D8zBRkUokY2K4bzIx3tqFT\nyZ06cTePjqSqsY2nV2XyzzPQ39YqZdwyJooXVx/jg2sHAzAw1BOjh5x1WVWObpzopxfAhqwqR3BK\nCTZQXGehwdKBUa3g/olxrDpYTk9uHeqlpqj2hIRvsLcGO84XWE92ll/TzKgYVykaEO3IrxzUdyG8\n02rjeKUrh+pMoZBJHMzvu8aLQ6x7C+vZmF3DoyuOUFxnYWpqoEO2N9pXe16XKDqVnJRgIz8fqaTC\n3IZUIpAcqEcQBDbn1PL6rznE+uuQSSSkhXkiqbMypL3rjLqCvSGRCIR1azNNTD7Bm6owt5JZ0SQ6\n/mZWsepgOZtzaojy0ZIQoCc12ECUr5YE/3MX0DN4yB3jPb3RY/iQX9NCUZ2Fti7bOW0f/uLBqQeB\nRg+emZHCzvw6HvvuMJ/vLOIflyS7tTBSyaU8PjWJjceruWvZfq4aHOJEuDxcamZTdjU3jIjgtV+z\n8VTL+flwOdMGiAFHq5Tx8XVDWLB4F//6KYsHJ8cjk0rwM4g0havf346vTuXg/wiCwN0TYrn49c38\neKicKf1Oz02ZnR7K0u0F7CuqZ0Co6NN3/YgIvttf6uTkMaWfP3ctO8DNY8Q6mFwqYWCYJ9vz6piU\n7E+Yt4YgTw8Ka1uI9NHip1dxsNTseL9aLqW1o8vtZ2iwdFLZ1O7yeFunlV0F9X2K1IEoVGfpY7vn\nArVCxogYH0dHqra5nR15dWzMruaDzflIJDA0wpvh0SaGR5tO6yt3JhAEgcQAPbOGhJIQ4MqdKmto\nZW9RPXsLG9hwrIMfSrYhkYgGqwNCjQwM9STY0+Ocgqa/wQN/gwdjezVoLB2iTHHPLOF3+8vIqmgi\nykeDUa0gPkDkRyX464nwOXfWvrPhg4i557Sl/wUnJwyJ8GLl7SNYvK2Qf648yoBQI7eOiXa7Nh8V\n68PKO0Zw97L9zFq0gzeu7o+fXiT0xfnp+O14Nc3tXTRYOnn8+6NM6Rfo2I6HQsr7cwdz45LdPPD1\nQV6cmYpEIhDjp+OtWQO59dO9fHpDOvHdF7BeJefNWQO47qNdJAcaTmk5Dd1qniMjeXnNcZbMTwdg\nUpI/T6/K5HivcZKUYCOdVhtHyxsdhNIRUd4cKTMzqftOnBCgJ7O8iUgfLcGeakp6scZDPD3otLqv\nWTa2daFXuZ5eedUthHmpT1nvWHmg3GXM53zCW6tkSkoAU1ICsNvtFNRY2JxTzY+Hynnsu8NkRJkI\n81YzMsaHQeGe5zSWYvCQuzWs6EFPN+3ilEBG6aoYOjyDQ6Vm9hbWsy6zin+uPIogCAwIMTIsyot4\nfwMpwYZz5iSpFTIGhHoyoNeSzm63U1LfSlZFE8cqxCxr7dFK1mZWOWzQ00I9CTR6EOcvstH/E6qf\nPfhfcDoJMqmE60dEMLmfP498e5ipb2zmX5f1c/pRe+CrU7H4+nQ+3prPJW9u4c1ZAxkc7sW1wyO4\ndngE7V1Wfsuq4q7lB7j4jU18f9sIx4nuoZDy3pxBzPtoJ498d5inpyUjCALpkd78c1oyNy7Zwze3\nZjgcfVOCjSwcG83j3x/m3TmDTlvMvCwthLc25LK7oI5B4V4o5VKHPnpP10gQBC5KCeDHQ+WO4JQe\n6c39Xx3g3glxAAwJ96K4XlzKmbQKLB1dtLR3oVHKsCNQYW5zu//G1k70bjpmx08xawdis2JtZiUP\nTIqj1M3z9315AB+dkjGxPgwM8/zdtSNBEIjw0RDho2HOsHCxYFxiZmN2Na+sPU5WeSOX9A8k0qRl\nRIyJeH/dH9KlckcQLW1oZV9RAwU1zTy/OovM8kbCvTWMT/QjxNOD1BAjMb66cw4YgnCiptRbwrm9\ny0pulVj8Lqpr4cvdNRyrbKK+paPb5VisfcX76Yj2E29af0TQ+l9w6gMBBg8WzRvEDwfLeeCrg4xP\nFLtsJ99FpRKB+SMiifLRcsvSPU4ic0qZlAnJAeyJ9eHu5QeY9+FO3p+bht5DXOd7KKR8eK0oy/vG\nOlGgThAEpvQLILO8kVuX7mXpDemOQHTd8HB25tfx+q/Z3Dcx7pSfXyGTcNvYaF5dm83SG8TsaVZ6\nKBNe2cgDk+Id/JWL+gVwx+f7HOM0yUEGKsxtVDe146NTEm7SsHR7ITd3UyB6sqc4fx1eGjmZbubr\nALdW5yAGpxi/vh1/fztWTby/Dj+9ym1wunpICOuzqnlqVSbm1k4SA/VcEO/LmDif323lBOLNaWCY\nJwPDPLlrfCzm1k525Ney8Xg1S5cWYmnvYmy8H0MjvRgRYzov+3SH3vrmALePi6W9yyrKBJc1sj2v\njn//lkdVYxsZ0SYiTZpuSRg9wZ7q3xVAlTJpd43Veend3NZFTnUzxyubyKlqZk1mJY99f4TalnYi\nTFqGR3ujV8kdhfswL7WLGOPZ4H/B6RQQBIFLUgPJ6O5iXfrmFl6+MtVlpg7EmbWvb8ngpiV7qGxs\n487xMY51u4dCxtuzBvL6r9nMXrSTJfOHODp9Yg1KrDUpZFLHSMnd42O5aekeHv/+MM9M74cgiBKv\nT05LYsprmxkb79OnYmcPZgwM5s31OewqqGNwuBd+erGW9c2eEkfhul+QAU+1nMzyJhIDxdpIeqQ3\nW3NruLR/EP2CDBwqNTuE5waFeVLW0BOclNS31Lrdd0enDZPWtdh6vLLZIafiDjvy6phxiud7RkTu\nmxhHdVMbvx2vYX1WFU+tPMroOB+ifLSMT/AjqbsA/Xth8JAzIdGfCYniMrewtoXNOTX8cqSSJ74/\nQlqYJ1E+YlaVHuF93i3Se0Mpk9I/xEj/ECNXdw9u17e0d6t9mvl2Xykfbs4nv7aFlGADKUEGBoZ6\nkhCod2sZf7bQqmSO/fdGS3sXudXNFNa2cLS8iW/3lZJb1YxcJiHsd4gI/i84nQFMOiXvXDOQb/aW\nMueDndw1PoZr0sNcpsHDvDV8dfMw7v3yAHM+2Mm716Q5uiESicCd42No7bRy1Xvb+fSGdIeho1Gt\n4KNrh3DZO1vx1SmZMTAYiUTglSv7M//jXSzfXexgivvqVDw9PZm7lx3gxztHnnKMQyGTiB3DrQWO\n5cK8YWF8tKWAeRnhjoA3JNKblQfLHHfK4VHebMut5dL+QfjpRduhMnMbQUYPPBRSsquaGBvvi6dG\n7lAqOBnmtk63wcHS0UWEj/v2st1u54eDZSwfdmbMcR+diplpwcxMC6bTamNvYT1rjlZy22d7ae+y\ncdnAYAaFezIsyvu8ybL0dMdmp4fRZbVxuLSRjdnVvL0+l4Wf7mVqaiAhXmpGdLvznLzc2Zlfh0ou\ncSKu/h54apSMivVlVKxY/Lbb7VQ2tnOgpIFDJWZWH63k7uX7kUsl9AsyMDTKiwhvLf2CDefN706j\nlDmE/HordrZ3Walv6eT9c9zu+Vd8/5Pj851FPPDVAaoa3ddK+oIgCFyWFsx3CzP45Ugl8z7aSbWb\nbpRWJeed2WkMCDUy/e0t5FU3O23jwcnxTEj048r3tlPZeKK47G9Q8cn1g3nmxyw2HBMVirVKGc9d\nlsLzPx9jX9EJC7+JSf4MjfTi3Q25p/3cF6UEsqewngPFDYDIWM+rbmFb7omM5+J+gfx4qJweQm5G\ntMnxekEQxOypRPx/pI+WvG5nFi+1ApnU/clttdmRujnxD5aY3bLGAbKrmlHIJISdpuDvDnKphPRI\nbx65OJH1941hyfx0jGo5b67LYdBTa1n42V5W7CvF3Np51tvuCzKphP6hRu4YF8Pym4ex4+/jmZjk\nT01zO/d9eYC0p9bwwFcHWLq9kIKaFux2O3a7nes+2sVPbizfzwcEQcDfoGJikj/3TYzj2Rn92Pvo\nhXx9SwYz04KxdFj5ZFsBk17dyLBn1zmMUv8IKGVS/A3nnrH95TKni1ICKKhpYcKrG5k/PIIFp/FK\nOxkhXho+vm4wr/2azUWvb+KlK1IdOko9kEgEHpqcQIS3hqdWZrLwgmiHJbUgCNwzIQ6jWs6cD3by\n2YKhjqJ3tK+Od2YP4LHvjuCnV4m+aCYNz8zox22f7eOH20c42NaPXJTA5Nc2MyTy1Es7hUzCjaMi\neWt9Du/NHYQgCFwzNJSlOwodHK3kID1Wu50jZY0kBxmI9tFQb+mksLaFMG8NA0M9HQEpyqThh/1l\nAPjqVRwubXS7X6vNjkouBqfWDit5Nc2EeIkCdFqF1GmcpgebsmsYGWP63XdzQThBWLxhZCQ1ze1s\nOl7NyoPlPLLiMANCjVzcL4DRcb6/6+I5GVqzqqPsAAAgAElEQVSljLHxvo5xn/KGVrbm1rIlt4Y3\n1mUTYFAR66fj+hHhPP79EUobWpk/4vTW62eCXQV1JAa4t6TqXfiejEhF6VHHPJ9k1PONP+8n+4Og\nV8l5aEoC3y8cQVZFE1e+u43VRyo4mzEemVTCvRPiePXK/ny0pYDX1mZjc6OVfNWQUOZkhLFg8W7W\nZVU6PXf9iEgmJQdwzaId1PdaGg2O8ObmMVHc8MluqprE7G5ikj8XpwRw5xfieAyINurPzOjHg18f\norXr1J/9qsGh7C1qcIjDTRsQxObsGiq7s0dBELioXyCruu/mEomEjGhvNmWLvqWJgTq25Ip/R/mK\nhpsAnmo5bZ1Wt5wkq83uWNLUNLcz78OdFNVa8Deo+GhrIU/+cMTlPZuzqxkRffrp+KJaC+Nf/o0X\nVx/jcHc97FQwaZVMHxjMonmD2PHwOGanh5JX08LEVzcy7a0tvLMhl/xeGe75QoDRg8vSgnn5iv5s\nf2gcL14u1iv3FDbQ2NbJU6syGfX8evZUdmG2nHtG19ph5dkfMxn01Fomv7aJZ348ype7i8mpanJ7\nXsIJdcw/M/5ywakHod5q3po9kL9NiueF1ce47uNdFNS0nP6NvZARbeJfM/qxKbuaBYt3u10yjI3z\n5YN5g3jgq0N8tafE6bm7x8cwOs6HuR/udHrvpf2DmJkWzI2L99DWaQXg/olxTOsf5MTHHh3rQ0aU\nN18eO7VlkodCyvwR4SzfVQSIDOaLUwP5Ymex4zVT+vlzvKLJcaGPjDGxKbsagAEhnhwoNmO12fHV\nKWnrtGFuFWtKAQYV5W7oBF29lnUhXmqSgwx8u68Uk1bpcPftDWu3JvmwqFNnggDBnh48PzOFDquN\nWz7dw4LFe3j2p0wOlZw+UGmUMiYlB/DQlAR2PzKeeyfEUtpg4b4vDzLhld94+ZczC3hnC0EQyK1u\n4fOdRWzLrSXBX8/oWBPJgXrWF3cx/Ll13Lh4N0+tPMqvmZU0tp15sPJQSPnm1uHsf/xCnp3Rj0iT\nlk3ZNVz38S76P/kLD31zkBdXH2Pt0UrHDa83nvs5i4e+Oeg41/4s+EsO/p6Mji4bH2/NZ0tODWlh\nXtw8Ouq0PKKT3//Mj5lsOFbF+3MHueiMg+g196+fMhkWZXJK5e12O8+vPsaxiibemjXQ0e2x2+3c\ntWw/vjolD09JYF1WFSat0mVcwNzaybRX1vDc1ekMiXAelO2NxtYORr+wge8WjiDUW01muZmHvjnE\nVzdnIJOKBqGjX9jAW7MG0i/YQFVTG+Nf+o29j16ITCph7IsbeOeagcT76x08JxAtwheOjXZRtHz9\n1+N4qhXMGRYOwMbj1Tz49UGMajlDIrx54hJnT+3syiYWLN7NhvvHOh47E986u91OZnkjqw6Vs+pg\nOTY7XDk4hDFxPiQGnHnHzmazs6+4gdVHKtiSU0NTWxcTEv2YlOzPwNC+ra3OBqUNrVQ3tZNwkl/e\nhg0byBgxigMlDaJjSl4tedUt+OqVDI30ZmikOIpzLvIlNc1iN29fYT37S0ThuwiTBn+9ipQQA6lB\nRiJ8NDz9YyaFtS28MzvtvNp0wbkP/v4vOPVCaUMrj644TEm9hWdnpDjqRGeKHw6U8cT3R3jh8hQu\niHd1FCmptzB70Q6uHBzCrWOiHY/bbHbuWb6fprYu3p2T5hiFae3o4vJ3t3FpahAdVhsNlg7+fpGr\nAN3Ly9aysljGj3eOPGX97MXVx6i3dPD0dJGEedk7W7lxVKRDz/qF1Vl0We0O7afJr23i2Rn96B9i\n5J7l+xkU5uWkPQ5wz/L9DI305oqTZuWe+zkLrVLGwrHi97Tb7aQ9tZbmti52PDzOZabr6z0lbDhe\nzRtXn1BTOFtTTXt33eynw+Ws2FeGUi5hakogl6QGEOXbN/HT3XYyy5tYfaSC1Ucq8NEpCfFSMzHJ\nn2GR3md14zoTuFMlaOu0cqC4gR35dWzPE5sXjW2dpEeIKguDwj3xPoUUb18QGfEtHOymH5TUt7Ip\nuxpfnRKNUkZudTOzh4Rx54Ux503L6X/B6TQ4UyVMu93OyoPlPL3qKDPTQlg4NvqsuCt7Cuu5Zeke\nbhwV6WJkAKJg2uxF27koJZC7x8c4nu+02liweDcmrZIXuj3qKsxtWDq7uPLd7VybEc6WnBo+WzDU\nZZ8bNmzgi2Idsf467rkwts/PVtPczriXfmPNPaPw1an4dl8J3+wtdYy4ZJY3csMnu9n8t7EIguBE\npFyyvZBDJWae7yX5C/DuxlysVju3jo12evzVtcfFoDvhBFk041+/YrXZ2fGwq7fqE9+Let4Lei33\nztXxF8TfcX9xA+uyqvhiVzH+ehWXpAZycUoAASd1Czdn15AR5d1ndlRQ08zqI5WsPlJBbnULVwwK\nZkCoqN90PiRuz0QypUfDamd+HTvy67B0iHWqHq2pweGeBBrPPuOx2uzsLqjj+wNlbMquobS+FZVc\n1JT306sYG+eLr15JcqAoeHcug8L/k0w5TxAE0QF4eLSJf/xwhCmvb+LFy1NOS3jsQVqYJ9/cmsEN\nn+ymobWTO8fFOHVE/A0qlt00jDfX5WC12R2teLlUwtuzB3L9x7t4Z0MOt46NYcn2Ar7aU8KkJH8W\nbcqny2ZzcuHtjScuSWLK65uYmhLgdlkJYmF4Wv9APticz0OTE5ic/P/Ye+/opq5te3jKcu+9V4xt\nbGzc6R0CIQmhJAFSbnol5ZJOKp00II0eIAmhhN7BBdyxwb333otky5Jl9bO+P2QLy5ILTu573/vd\nzDE0wPLW1jny0Tprrz3XnE7YcrVEJU43wdEMhno6yGngIczdSu3OGelphSMpNRpz2pkaIL6sQ+N5\nQz22WqEfABb5OwwpcVvQdK+fbzgQEX5JrsYCfwc144bBYLFYql6ydQt9caeai8u5zVh/Ph8SOYPl\nIS5YEuQECyM97EusRHRRKzYvm6j1s/W0NcVrc0zx2hxvtPPFuFXa3kdJyccULys8GOiE+RPsVby1\n/wQMdO+1t7w5T6nLVNIiwN0aLqIKW7H9Wgl02TqI8LTC1HHWCHGzgq/DyK0tSeUd2Blbhpnj7fD1\nyiCEe1rBQJcNuYJBNUeIkmY+cht5iCtpR0lLN+zMDDHOzhQTnZWiev4j6Ef9FfzXBCcpgyG/2Npg\nbaKPH9eEIqqwBa8fy8a/pnrgtTnjRkXmc7UyxpnXp+GtEzl45Wgm9jwVpnaHtTU10Ki5AMrmzL1P\nheGx/WmwMNbHh4snYEmgE3bHVUKmYNAjUXaWT9DS0e9oYYh1C8Zjf2IVvutrJNaGl2eNw7unc9Et\nksHCSA+Ph7vibHYDPlikFLp7PMIVKRUcDc0fX3szdPVK0cYXq+3yeNma4MhtzaBloKujUWAVyxmt\nUrNKThQw0XlopYJ+SOQM2vkSrDl4B86WRlgV7oqHgpyGvaOzdVgqxQGxTIGEsnZczFFazy8Nccbj\nYa44fLtGpRIx3DVib26IJye748nJ7ugWyZBU3o4bha3YfKUY/s7mWDrJCbN97TQcnv9u6LJ1VFbl\nL88aYNZQ24Wqjh78klSDjh4JQt2tMNfXDr4OZgh2s9DwZxxIfRg8v6+DGXwdzLBMpR/FoL5ThKJm\nPopbuhFb3IZPLxRALFPA38kcM8bbwtHCEP6O5vBxMP3LPn7/Ncs6MxcfevCL3/H5wwEaReWRwOmR\n4JsbpShq5uOnJ0O1Sqlog0zB4LMLBShpEeDI85GjluKo5Qjx+P40NYPO0hY+Ht+fBkcLA9x8b67a\n+P5lgULBYOX+NDw92R2rhjEOePeUUqZ47dzxqOUI8di+VNxePx+GemxUdfRgzcE7uPPJAo277itH\nM7E02BmPBt9TDOD1SjHj6zgUblqs9qU+m9WAkhYBvnjkXo3szRPZWDzRUe31QJ9D8L5UjeXecMs6\nuYJBSiUHtys5+DOjATPH2+KJCFfM9rHTavSpDd0iGaL66lNFLcrdyEhPaxx5LvK+C+BimQKpVRxk\n1fFwKqMe1ib6eCDAAYsDHBHoYqGar7iZj8MpNdi2IlD15R3Nsm4s4PZIkFXXhYq2HiSUt6OomQ93\na2PM9bXDeAczhLpbwsvG5C8X+zk9EpS08FHLESKrrgulrQLUcISY5m0DXwczfPZwwD81p+Hg5+dH\nm/6Ixa7YcjwQ4IC35/vcFwGPiHAyvQE7Ysrw/iJfPDXZfVRZGBHhx1sVKGnh47OHAkaUO+lHZm0n\nXvsjS006pY0vwsq9afhgsS9WhN4TpBt4cRc2deP5X9MR++6cIbOJ0lY+/nU4HckfzYOhHhvPHUnH\no8HOaBdIYGuqj6Npdfj4wQkaO3CHkqtRwxGqCur9CNsSi6h1s9SaYK8XtOBybrOaJfpbJ7KxNNgJ\niyeqa1KlVnLww80KnH5dvW1ltDWnbpEMV/ObcSazERZGegh0MceqCLcRs5c6rhBbrpagsasXjV0i\niGQKEBHsTfWxPMwNK0Kd4ec4cjY3GApGWe+KLW5DSQsfxS18LJhgj4X+Doj0tMIXl4rQxhfj0HMR\nMDPU+48Fp8GQypXyOLn1Xciq5yGnvgvsPsG6UDel1XqIq4WaVf1YoVQ26AFfLMc0b9t/gtNw6C+I\n90jkOJZWhwNJVXh1tjdemul1X7svle0CfBtVBj22Dr56LGjUOxrH7tRid1wVfn9x8pBGk4MRVdSC\nLVdKcOHN6aovfkkLH88duYvjL09V1ZYGX9wbLxdBJFWo+dUNxku/ZWCmjy08bU2gUBB+jq9EgJMZ\nglwsVcJkA7XBAaCgsRvvns7FzffmqD3/7qlcrJnshikDqAx3qrnYFVOuFnBeOZqJx8JcNWpLJ9Pr\nkV3XpfF+YymIl7fycTqzERdymuDnaIo1ke5YHOiodTkuEMtwp7oTThaGcLE0gqWxHlgsFkpa+LiY\n24SKth4080RYEeqCR0OcR3QHHgq1HCFulrQhubwDuY3dCHe3hFCqAK9XiuOvTEVhZtr/SHDShjZ+\nn9V634PNYqGhqxeT+oxAQ90t4e9o/pcamv/ZrRsBg3frajlCbL5ajFqOENuWB2La+NE7z4plCmy9\nVozkCg72PBWmsosaCZdym7DlajF+eTZCqz6UNnwfW46kig6cfGWqahlwLqsRB5KqVPpQg4OTQCzD\n0p9T8P3qkCHfJ7O2Ez/fqkAjT4RZPnaIKWqFl50J1kQqLYsW/5CEu58uUKsbKBjCsj0pOPJcpFph\n+/OLBfC2M8ULAwwUytsEeONYFm69f++4Xj2aiZVhLngwUD1z+vpGKUwNlKYIA/FXduskcgXiS9tx\n7E49Slr4WBnmgjWRbvdFKWAYQnptJy7mNOFGYQume9titq8dlgQ6jsmKikjp3HIuuxHJ5R0oaRGA\nxQIe8tLDC4sjEOJm9bfoIskVDAgYU2uKgiFUd/Qgt4GH/MZucHokSCjrgIeNcZ9zsQUmOltgwiCu\n1nD4JziNgKGoBLdK2rD1WgkmuVrg84cD7kui9XIfr+mLh/2xPNRlVMu8uNI2/Hq7Fmvnjsc076FJ\nk/1gGMJbJ7NhqMfGzieCwWKxVARNY31dfLUySOuy4HJuM/YnVuHyWzOGrMEwDEEgkWPt8Sy0dYsh\nkMjx7ePBmONrh4/O5mOBv72KA9WPN45l4YEABzWd8xN365FTr575cHokeGBXInK+XKR67rU/MrEi\nVDM4vXEsC0uCnDRqUX8lOA1EHVeIPzMaUNbKR69UgaeneGDxRMf7ypjFUgUSKzpwKbcJyeUczJ9g\njwUBDljobz9qZ5dbJW34+Fw+Jjiaw9/JDN52JlAwhLT8clT2GsLOzACWxvqY52eH2b52qp7L+0VW\nXReeO5KOUHdLTPGyxtRxNgh0sRiyQN0uEMOAzR7SyFMiV6CsVaBSOiho4qOG04Np42zgYG6IiS4W\nCHQ2h7+Tudb3+Cc4jYDheE69Ujl+vFWBs5mN+HCxH1ZFuI26SFjV3oO1J7IR4mqJTcsmjmqHIrWK\ng7dP5ODHNaEadR1tEEkVeON4Fub62eH5PneW/uzog8V+MO0s1whORIQnf7mDJYFOeG6657DzyxQM\nPjyTh4u5zdj3dCiWBDnjTGYDootacei5SLWxJ+7WI6O2E98PcD/ObeDhswsFuPbOLNVzCobg+/kN\nlG9dosoGXvsjU7WFPxBrDqbh3YW+mDJOPVgPFZxkCgY6LNZ9ZxlSOYPY4jYcv1uH8jYBXpjhhaWT\nnEddB+yHQCxDfGk7zmQ1IreBh3l+9lgZ6oLp423HRNDsv7k083qRWM5BQlk70qq4mOBkjile1pjj\na4cQN8tRF/oB5UZFRm0X0mu46BBIEF3UhonO5oj0UpqBBrtaqoLR2axGfB9bjoPPhmvVKtMGsUwZ\nsPIbeShs4qOwuRuWxnrgCKSY2CdUN8nVEhOczGBhpP9PcBoOoyFhlrTwcSCxCm18Cb55bNKoL9oe\niRwfnc1DE0+M/c+Ejao2kV7TiTeOZWHnKk2nYG1o4omwfM9tfL8qRBXQChq7sf1GMVa6iPDEQ/M1\nXlPeJsCag3cQvW72iBkhEWHaV3GY4W2DnatD0CORY9pXtxD/wVy1O3hDZy9W7L2N9E8XqgK4SKpA\n6JYY5G9YrPblXHMwDT+sDlVtPGy+UoTJXtYamdP8nQk48Ey4Bj9rqOAUXdSKLVeL8fx0T6yKdBsT\nk7mqXYBTmY04m9WIQBcLPDXZDQv9He4rAADKDPFGQQuy63mIL2vHogAHLA12xlQva+iNctmjLfOV\nyBTIruchqaIDiWUdMNDVgaOFIWb52GGWj+19t5gIJXLk1POQXtuJ8lYBkis64GJlhMme1gh1twJf\nLMPPcZXY9OhELA0em367RK5ARVsPipq7UdjER0u3CGIZg+OvTP0nOA2H0TLEFQzhSEoN9iZU4p0F\nPnhugNfbcCAi7E+sRmZtJ9bOGz+q1pesui5sv1aMt+f7YK4WrslgpFVx8fbJHFxYO111cR5Krsaf\nt8sQ9eFirV+s7ddLIJIqRmUrVdDYjdePZSHpo3lg67Dw3qlcTHSx0JD1mLcjAbufClW7yz66OwXf\nPBYEf6d7z63YexufPuSvErr76GwewtytsGayegtMxNZYXP/3LA3J2+GWdbkNPBxJqUFieQdemumJ\nFaGuY+oJE8sUuFHYgriSDqTXcrE6wg2rJ7vDZQjNqeHQzBPhekELruQ1QyCWY6q3DR4JcsJkL+th\ng95oduva+CLcruQiuYKD5IoORHhYw87MADPG22Ka9/07HMsUDEpa+Mhr4OFOdScy6zohlikgEMvh\nY2+GzcsmYpKr5d+i7PnPsm4EjDY49aOGI8TGy0Vg6wCbHg0c9YUfX9qOD87k4bOH/dXqMkMhu64L\nrxzNxPerQzDbd2S5kCMpNTid2YBzb0yHiYEuGIbw6M5ozA8Zp7V1RSCSYcmPyfjxyRDo6uigor0H\nj4cPfVwr997Ga3O8sXiiI25XcrDtWgmu/3uW2pgfbpbDWI+NV/skhQFo7b1b92eOyo5plo8tDiVX\nw9bUAK8NeB0RweezGyjavFijwDqamlNLtwjH79Tj2N06zPaxw6uzx416g2IwyloFOHG3DpfymrF0\nkjPm+Nphrt/oeVMD0dDZq2pGNjfSxfGXNduO+nG/VAKGUTY7367iIKWSi6zaTkz2skaAszlmeNsi\nzGP0jjFtfDGOptXiTnUnipv5sDLRg7EeGyaGeihvFWBhgAMsjfQQ6q6U5/W0MYaOzv19Hv8EpxHg\n5+dHCem5sDTSH/XdQMEQDqdUY39iNT5+UFmLGk3Ru7xNgJd+z8BDgU74aLEf2CNc3P2cpp+fDFUz\n6dQGIsL26yXg9Eixa5WyQH4xKg7bshjseSoMk70022wu5TbhQGI1Xp/jjRuFLdj3zNA24FEFLbic\n34y9T4eDYQiv/pGJdQt8Eeh67wufXNGBHTHluPTmDNVzJ9PrkVHTiV2rQ/Dr7RpYGeujmiMEMQxO\nZjTgwtoZuJjTBJFMgY8enKB6nVAiR8TWmyjZ8qDGsdxPQZwvluHk3XpczmuGnZkBXp/jjSle1mNq\nqxBJldnUH3fq0NotxqoIN6yKdBtTNgVATcVBG/4qz0kskyO7jqcSthNK5LA1NcB0bxtM8x7e4bio\nuRvRha2YMs4GYe5Wat8NsUyBouZu5NTzkNPAQ15DFxQM4ONghhBXC4S4WSHI1WLEksE/wWkE+Pn5\n0Tv7r+HE3XqsXzIBj0xyGvWFW9YqwLpTuQj3sMS7C31H1UPVKZRi+/US9Erl2LUqZMQ72Z1qLj49\nn4+vH5s0rPQJoPzyrNh7G09Pcce/pnkiISEBcgd/HL9bhx/XhKrVYA4lV8PP0Qy74yrh72SGkhYB\nTr02tEa3TMFg9rfx+OXZCAS6WODHmxXo6BGr7KQAZWE5YmssYt+bo2plqWgT4KXfM5H00TxUtguw\n6sAdPDfNA9n1PDR09iLug7k4mlaL8jaB2lyt3WJ8eqEAR56PHHwoY9qtk8gVuJjThH0JVbA20cfb\n88djrp/9mHu/Slr4OJ3RgKsFLZjobI41ke5Y4G8/6m36zNpO9EjkmDHedsjX/N0kTL5IWQxPq+Ii\ntYoLmz6jCaX8ig2CXMyhP0ZN9XaBGPkN3chr5KGlW4TY4naY6LMxyVXpr+dtZ4ZAF3M1qsU/wWkE\n9C/r7lZzsfFKMcwMdbHl0UD4OY2O9yKVM/jpVgXOZjVi56pgzBgFL0oiV+Cjs/lo6OzFL89GjBjU\nUio68O8/c/HrC5EjCuD3t5388lwE+NV5mDt3Lj6/WAChRKG2k5ZaycGHZ/Ph72SGu9Vc2JsbqrhH\nV/Ob0cwT4dXZ3mpz70uoQkWbALtWh6ClW4QHf0hG2ifz1bbM3zmZgynjrPH0FKVxJMMQwrbGImbd\nbNibG+JqfjO2XC2GmYEeZvrYYuOjE3Expwk3S9qw+6kw1Tyt3WIs25OiVangr1AJFAzhRqFyWVXD\nEeLNeePxUJDTmHlEIqkC1wta8GdGPXRYQIi7FVZHuGHcMM3HABBb3Ia9CZWo4/Zi8URHLA9xRriH\nldpS8T/NEOf1SpFe04k71Ur5FbYOCxZGepjsZY0pXtYIdrOAod7Y2myJCHXcXuQ3dSudaSo4KGrm\nw9pEH3P87DDB0QzPTPUcU3BSia7/v/7w9fWlfsgVDP2ZXkdhW2Jo85UiEohlNFoklbfT5G2xtP1a\nMUmk8hHHKxQMfRtVQnO+jaPajp4Rx0cXtlD4llgqbeGPODamqJVWH0ilS9FxRETUK5HTvB3xdCm3\nSW1cj1hGmy4Xkc+n18n3s+uq5+s4QgrZFE0cgVhtPE8opUkbo6m1W0RERC/8mk6nM+rVxlzObaLn\njtxVe+7FX9Ppat699/7sQj55fHyVogqaiYgorZJDT+xPVXtNW7eIIrbGaj2/LG89tcdYwDAM3Spp\npRV7Umjed/F0PruRpHLFmObqR0Ubn7ZdK6bwLbH0+L7bdCmnkXpGuIbquULal1BJq/anUviWGPr0\nfD6lVLSTTK6g+Pj4v3Q894suoYRii1pp27VieupgGvl/cYMe23ubvr5RQvGlbcTrlf6l+RUKhira\nBHQxu5FO3K0jAJk0hu/s/3rQ+J96DAxO/eAIxPT+6Vyasu0mXc9vIoZhRvXhdwjE9On5fFqxJ4Wa\nunpH9ZqzWQ0UuTWW8hq6Rhx7IbuRpm2/SbWckYPZNzdK6KFvr5NcoTz2/AYehW2O0XpcqZUd5PHx\nVbqY06h67suLBbTxcqHG2M8v5NPPt8qJSBkEV+5JUfs9XySl5XtSiCe8dyH/druGPj2fr/pZKleQ\nx8dXVQGrsauXJm9TD0TtfDGFb4nRem5/R3DqB8MwlFrZQU/9kkbTv7pFR1NrSDSKm8twkMoVFFXY\nQu+dyqWgDVH0welculPFIYVi+OBXy+mhPfEV9PLv6RS2OYae/TmKEsra/3LQHCt6xDJKLu+gnTFl\n9NGZPAr44gYt2pVIn5zPp6t5TVTHEY76u6ENYw1O/3XLOm3IqO3EgcRqEBG2LA8c0rpoIBiGcDC5\nGoeSa/DdE5MwbxRcpeiiVnxyvgA/rgnRcGwZjLNZDfjpViXOvj5tSA0kQNmq8PCOaCwJ98a6hcrd\nut9uK7fYD2vprj+UXI3zOY248tYssHVY6BBI8MD3ibjy1ky1Hck6jhAr9qUi6aN5MNTVwaO7b+O7\nJyap0Qde/yML8ybYqTz1ytsEeOHXDJVYHaBkf8+fYI8nItygYAj+X0Yh78tFqsIrt0eCB75PQvYX\nD2ic29/FENeYt74Le+IqIZUzmOVri6emeAzr/zcatAvEfW0ureD1yrAsxBkrQ121cuWI7kn31HN7\nsefybZSLjGFuqAcbE30sDnTEbB+7/6hB53CQKRgUN/ORWdeFGk4PYoraQADC3a0w2csak1wthmWc\nD8ZYa07sjRs33u9r/k9i9+7dG99++22tv3OxNMKDgY5o7BLho3P5MNRjI8jFAjrDFFFZLBYiPK0R\n6m6J90/nQs4wCHW3GvY14+1NEepuhXdO5sDN2hg+w/R5BThboEcsx7fRZVga7DzkhaCjw4JZTwP2\nZvDg52gGDxsTBLla4kR6PbpFMg2RvFB3S1zOa4FErkCwmyVMDHSV6pQ1XDUqg6WxPgqb+WjnixHp\nZQOeSIbE8g48EHCvnYWtw8LpzEY81kdNsDbRx+GUGszxtVPV15p5IlR3CDHXzx46LBYu5jRhps+9\n1gyJjMFvt2vw+lx1JU0AaPlpi9rPefNfgYKhMbd19MPJwgjLQlwwwckM1wqUWkxCqQJ+DmZjDggm\nBroI97DG6gg3hHtYI6eeh81Xi1HcwkeXUAZ3a2PV33DlvlQ4mhvC09YEFsZ60OtuwPonZmOKpzWE\nUgXOZTdi27USNHT1gtcrg5OF4V8KVGlVXNwqaYOJgS6sTfRH3Bxg6yi978LcrTB/ggNenuWFh4Kc\nYGygi9IWPk5lNmD79VJk13chp54HXqUV6dEAACAASURBVK8MRvpsWBjpaZ1706ZNLRs3bjx4v8f9\nT+Y0CJXtPdgRXYquXpnSyWKEgicAdAjEeOdkLnTZLPy0JnREKdOyFgFe+D0db8wdj39N9RhyHBFh\n05ViFDfz8fuLkTAaoocrISEB+q6B2J9YhW8fD4ajhSEaOnuxbM9tHH95CvwHidOVtfLx7z9zcezl\nKbA1NUCPRI55OxJw5LlIBA2gDBQ1d+PF3zKQ9NE8CCUKzP0uHgkfzlN554llCkzedlNt1+7TCwXw\nsjFRye2mVnLwS3I1fn1hMgClGsLqSDcs6uvZkykYTNwQjeJNmiTSwZlT5ckqfB1VisfCXPDvhb5/\nOdvpRw1HiP0Jlciu52GWjx1enuU1qux5JEjlDG5XduBMViOSyzmYMd4Wj0e4wlifrda+pK0g3iWU\n4lZpO2KLW5FayUW4pxVmeNtiYYADvGy1S8Fo8wIElGTf0xkNuF3FgVTO4JFgZ/jam2K6ty3crI00\nAsrpzAaEuVsNq1smkipQ3NyNrPou5DbwkFPPg5+DGcACQtyUigaTXCxgY2rwT+Y0Erbt/HnjW2+u\nHZFQZ22ij4eCnNArleO903nQ1WEh2M1y2IzIxEAXy0OcUdHWg01XizHZy3rYpZitmQEW+jvgs4tK\nFcF+BvVgsFgszPaxQ0W7AKcyG7Ak0FErW722thazwgLQxBNhX2IVVoa6wMpEHzamBtjep4U+cBvb\n1tQAdVwhYovbVQ2wpga6OJRSjcfCXFUXq72ZIVIqOJArCJFeSqfgxi6Rikuly9ZBVYcQ3B6JKkNT\nMISLuY14LFwpdmdjqo8Nl4vw/HRP6OvqoIknQo9EjrA+Bj1bh4U/0uqwNNhZQ6VxcOa08JsdeCzc\nFTdL2vFtVCkczQ0x3t70L0vEWhnr44EARywKcERuQxc+vVCIhs5euFkb/yXpXbYOC162pnh4kjOe\nnuoBBcPgWn4rDiRWI8TNEr8kVyPAyRzo6YCnp6faa4302QhwNsfSYGe8ONMLtqYGyKzrxDdRZfgz\nox4CsQwMKXW+2TosCCVyzPk2Ht52pho3VGdLIzwQ4IAXZ3ph8URHiOUKpFZxsSu2HCfu1qOwmQ+e\nSKkXb26oNDl4+0QOApzNh9TE0mPrwNnSCOEe1nh4kjNenjUOU8dZw87MUMWUP5HegFslbci9dGhM\nmdN/VXCKZoLgNIoLmsViIcTdCksCHbE/sRoZtZ2Y4Gg+ZNc2oFxezfKxg6OFIfYnVkGHxdIqp9sP\nS2N9PBzkhO3XSsAXyxDpqZ0wyGKxMHWcDc5lNyKrjocFEzQ5O7W1tfD09ESEhzWuFbSior0HM31s\n4e9khvI2AdJrOjXY52EeVth+vQSTXC3hYmUEfyczHEyugauVkdrF7WxpiDNZjXg4yAmuVsY4ld6A\npcHOqi15SyN9HLldi9WRbiofu0MptVg6yRlG+mzosXWQXNEBB3Ol9nSHQIKYojYsC3FRvce1ghaE\neVhqZCuDg5PTO1/AWF8XiyY6ItjVApuuFCO1iospXtZ/i9GAqaEuZvva4anJ7ugQiLH+fAHSqjhw\nMDeEq5VmhnE/MNRjI8DJHFYmenCxNEZ1Rw8aunpxPrsJHb0KuNnbwGkILW5dtg48bU2w0N8BL8/0\nQqi7FVr5YvySXI0d0eUoau6Gro5S+/7j8wWwNNYbsoHXou93SwKd8PIsL8z2tYOCIaRWcbEzthzJ\nFRy0CySI8LTGrthyGOrpIMRtdPI+poZ6GG9vihnjbfFYuCuemuyOmT52+O6rrf8Ep+Hw64HdG3/e\n+im+jS5Dek0nvO1MR6xdWBrr47EwVzR09eL9M3kwN9JDoPPwXmg+DmYIcDbHJxcK0MYXY7q37ZBZ\nl6mBLh4JcsJPcZUoaRFgjq+d1rnZOiwsmuiIvQmV4AikmDqoe78/OCkzLVtsuFwEfydzuNuYINTN\n6t7PAwre+rrKO99X10uxZrIys3K1MsLBpGosD3VRBR8XSyMcv1sPto4O5vrZ42xWI9gsFgL69L6d\nLAxxMLkaQa7K4KKnq4P0mk6I5QoVV6tdIEFJiwBz/exhYaSHb6LK8NrscapzTarogIO5kYYIn7bg\npPq/pRFWR7qhql2I9ecL4GBuAD9Hs79FaN9Qj40Qdys8O80DcgXhu5gy5NTzIJUz8LYzHTNXqrlb\njB0xZSAAIe6WSiG8iQ7gdHTgdEEX4krbkdvAg6mBLhzNtQcqFktZDwr3sMZTUzywMswFRKTUFouv\nhL2ZAa7mNyOvkYeHgpxGrJtam+hjkqslHgpywiuzvBDiZgkQIbeeh1quEDHF7Tid0QCwWNDVYcHG\nRH/Uih0sFgsmBrr/1JxGQn/NSa5gcDK9Hj/crMCjIc549wHfUXW1l7cJsO7PXLjbGGHr8qARA1un\nUIo3j2fD1EAXO1ZNgoXR0HWobpEML/yaDj9HM2xbHjTkH79DIMGbx7PwRIQbnhjgEze4ZlHZLoCL\npbGqiNpvaHnj37PVsj8iwucXC+FubYzX5niDiPD8rxmY52eHOX72iClqxWtzvJFWxcX68/m49d4c\npFVzsflKMaLXzVYd58GkKpS19mDnKqWeU2xxG35JrsbpPiZ6YVM33jmZg7gPlMc469s4HHkuUqVC\nsPVqMWz7Wk4GYrS7dcXNfGy7XgIdFvD1Y5PG3GYyFBiGEFfajsMpNajlCvHsNE+siXQbk02SNvT/\n/SrbBbiW34rrBS3oFsmwOtIN07xtEOlpPWxAlCsYXM1vQW4DD3druKho64GCIZgZsjHL1x4L/O0x\n1ctmVHW0wyk12JdQBT02C5Ge1nAwN4CVsR4aeWJk1HDBF8vhbWeKCA8rRHhaIWSQS482jLXm9L/O\nP+p/AHgCQBEABkDEMOMeBFAGoBLA+tHOP5jnxBGIaf25PHr6YBpdzGkcFY9DIlPQnvgKitwaSwll\n7SOOl8oVtCO6lBbuTKB6rnDYsQKxjFbtT6UvLxaoOEvaUNUuoPAtsRRX0qZ6bjQkvg2XCmn92TyN\n8+wnYvYfX2kLn8I2x1BcaRst232P27RqfyqdzqgnhmHo4Z+SKKaoVfU7bo+EAjdEqThPEpmCgjdF\nq7hWCgVDEVtiqI6r5G29+2cOHb9Tp3r9+awG2qSFazWY51THGfozlMoV9POtcgrdHEPH79SOyDUa\nKwoaefT5hQKatDGaPjmfT2WtI5NlR4K2v19Fm4D2xFXQQz8mUfiWGPrkfB7Fl7aRRKZ5Xu18JV9v\nX0IlJZW3E7dHQkRELTwRncqop81XiihkUzTN3xFPGy4VUkJZ25DE43qukBo6h/6cu4QSulXSSt/c\nKKF3TmSTfx8nav25fLqU00SV7QKNawz/13lOLBbLH8rAdADAB0SUqWUMG0A5gAcANALIAPAkERWP\nNP9Qu3W59coCqJWJHrYsCxzV7lxqJQfvn8nDw0FO+PBBvxHlSn9PrcXu+ErsezoMEUMUvwHlDsi7\np3Ohz9bBrlXBQxbvs/qUDH7ra3PRttsjlMghlilUBd1+9+AXZ3hpqCXsTajE3epOPDLJCQZ6bNUd\nMqeeh6SPlPbgaVVc7Iwpw8lXpyKmqA2HUqpx/o3pqqXHu3/mINzTGs/07T5+cj4fnjYmKgWCLy4W\nwMXKGK/P8caF7EYUNHXjy6VKe6zK9h786/BdpK6fr7aUGZw5fbQ2FufXTh/2Tl3ayse++CpwhVJ8\ntTLob7fW7ke7QIzjd+px/G495vnZYWGAAxZMsB+TgsFI7Sv13F7El7Xhcl4LKtoEmONnj4eDHDFj\nvK3GJsJQYBilG3JSRQdKWviIK21HQJ+d04zxNghxsxqTUF6/9EpWXRcau0SIKmyFUCpHiJslZo63\nxURnC0wfPzaDg//1jGnwA0AChsicAEwDED3g508AfDKaebUxxPshkyvol6QqCt4YRQcTK7XenQaj\ns0dCbx7LpGcP3x0Vkzu+tI0it8bQlbymYceJpHJ65tAdevN4FsmGYQxHFbbQtO03qY7bQ7G34uj3\n1Bq13/+aUk1P7E9VYx0XNXVT6OYYjQxEKlfQol2JtCeughbtSqQnD6bRpA1RNOHzG2rjnj18l46m\n1ZJcwdDN4la1O2ROXSdN/+qW6v1y6jtpzrdxpOjLAu9Wc2nhzgRiGIba+WIK3BBFQony7s0wDE3/\n6haVD8pCBmdOX1wsoPdP5Y7I7JbJFbQvoZJCNkXTkZRq1TH8JyCWyelKXhOt2JNC07bfpN1xFdQx\nqB1oJNxP+0obX0TH79TRp+fzaeKXUfTMoTv0e2oNNY6yU6EfvRI5JZa103dRJfTIT0k08cso+tfh\nu3QkuZpy6ruGvfZGPMZuEd0oaKGd0WW09WrR//3MqR8sFisBQ2dOjwN4kIhe7vv5XwCmENFbQ8z1\nKoBXAcDOzi789OnTw743t5fB0RIpOCIGLwQaYLzl8BkREeFmvRyXq6T4V4ABJjsOv2PUKFDg+ywJ\n5rjpYuk47YQ1AJAqCLtzJDDVB14MNIDuEPWGxAYZbtTK8HYAgy3ZLOycawwTPeVYhgjfZ0ngYsrC\nmgn36mNRNTJktsnxyWRDtTpGJU+Oc+UyvD7JACnNclyukkGiAA4sMIRBH3mwtluB77Ml+GaWEQx1\nNY/p63QRZrvqYbqzrpKjlSbG8vF6CLFX/vxRkghvhBhgnAUbOzLFmOmii6lOys/s10IJnE11sNjz\nXiZg/vIitfm7DkbjSKEEHBFhXbghjLQcw0C0ChkcKRDDwlAHy7z14Wp2/5nB/aC2W4Fb9TKUdzHw\nMNfBPDc9TLDWGbFI39PTA1PT0XkhDoRITijkKJDbrkBzDwM5ASF2bATbs+FlzgL7PnSXhDJCaacC\nDXwGmW1ycMUEHys2Qu3Y8LDQgYeZzpg3AubNm/f/fztyFot1E4A2z+nPiOjS3/1+RHQQwEFAuawb\nTef3yiWEq/kt2Hy1GKsjnLB2nvewAvbzAKxp7MZbJ7MBS0e8s8BnWFr/ojlivPh7Bm5wzbFtRdCQ\nMhpz5ijw+YVCnG+R48c1oVrHzQWgd70EvxfUItzLCrrOnpg7wJAgdLIUS3enoNfGDw/16XbPnk14\n4bd01Orb4aWZ49TmarxchES+DLteDMFajhAP7EpEWq8DNi67p6KZI8pBKUywbq6msB2c2vHV9VJ8\n8uQssFgsdFkoLZrWrZoCAHhGUYFaoQQvzg1Ep3kjruW3YP1cpVSKyKYFJzMaMHfuZNV02YOmXzB/\nHubNJXx5uRD7Srvx2wuTVYTQofDEg0o9qV2x5VgT6Tzi3+ev4nkoNzguZDfiRHo9LDr0sHiiI1aE\nuqiW2DuiyxDkaqEyj/grqgRL+v5VeuV14VZJO6JrO1FdIMRsX2vM9bPDHF+7UbnFPDzg/9weCdJr\nOlHYzMep4jY080QI9bDCbB9bJcHS1WLU7itjxljSrf/kA/+hZZ2Vq8+oll/96OyR0MbLhTTrmzhK\nq+KMOL5bJKUPTufSIz8lj1j87hHL6MVf0+nDM7nEFw3dAS6Wyen5I3dp7THNJZ5IKqe538XTpsuF\n9Mh312nx94n05cUCjTnyG3j07OE7VNF2b8nUyhNR+JZYSq/hahzXjK9vUXypstieUNpGYVti1Jp7\n67lCCt4UTW18kcZ7MQxDD/6QRLdKWlXHH7E1VrVcq+cKafnuFBJJ5SQQyyjwyyjq7Cve8nql9PQv\nadTO11wSDV72MAxD39wooeeP3B31cqatW0Rrj2XR04fuqM7vPw2GYSirtpPePZVDgRuiaO2xLEqp\n6KC8+i4K2xxDSeXKTZXRLOvutym4oVNIf6TV0ku/pdNTB9NoxZ4U+iG2nHLqu4bdcBkK3B4J3Sho\nps1XiuiRn5LJ/4sb9Mrv6fRtVAnFjaBkgP+SZZ0ulAXxBQCaoCyIP0VERSPN6+jpS04v7sYTEW54\na/74UYvi3yxuw2cXC/DgREd89OCEYcl+RITDKTXYn1iF7x4P1upB3w+ZXIEvLxcjr4GH316IHJJR\nLpYp8NofWTA30sX3q0LUCq713F6cSK/H8bQqEIsNHR0W8jcs1pjjVEY9DiZV49JbM1XtDXGlbfji\nYhGuvzNLjV6QXNGB9ecKEP3ubJga6OLziwUAAVsHuPzujqtEQ2evVtPOqMJWXMptwt6nw8BisbA3\nvlJpANGnfvnK0UxM97bBCzO8+vrsbFW0jC8uFsLYgI1PlvirzZmQkADvSZM1itu/3q7BgcRqHH4+\nYtSuIUnl7fjiUhEmOJrhi0cC4GqlvWAuVzD44WYFnp7qPmYzzYHoFslwOa8ZqZUc5Dd2Y+o4a9ws\naceR5yMgqMkfMXNaufc2jPTZWBLohMUTHTXUJ5XcPROtjHaxTIHM2i4klLUjsbwDdmYGsDE1wCwf\nW8zuIw7fLwRiGfIbu3G3mouM2i7kN/Iwb4KSxxbuYYUID2tVa8z/C1SCFVDuwEkAtKEvQwLgDOD6\ngHEPQRmgqqBcDo5qfl9fX2rji+ijM3n0/JG79Gd63agLpV1CCW24VEDzvounzFruiOPTa7i05mAa\n7YwuHfY9GIahn26W04yvb1FFm2DIcSKpnD4+m0fvnMzWeteLuRVHx9NqyWv9VfrwTJ7WOdafy6fX\n/8hUK2JvvFyo8RyRUobly0vKLIwnlNLy3Slq580XSSlyayzl1GvKvygUDC35IYmu5Ss1nLqEEgrd\nHEPVfVpW+Q08mrLtptaidkOnkCZtjFZlU/24HB1HYZtjKLuuU+M1V/OaKWxzDCWOgtrRD5FUTj/e\nLKfgTdH0S1KV1mMRSmS0/VoxTdoYTV9eLFBpW/1VNHX10p936+hfh+6Q9yfXyOPjq/TWgahhM2gi\nZQH7RkEzvX0im+Z8G0dP7E+lQ8nVqm3/X5KqaN6OeGrmjZxJNnYK6VR6Pa09nkWTt8bSkh+SaMOl\nQrpZ3Hpf2mYDIZUrKLe+iw4lV9MbxzIpcqtS6+rLiwX/72RO/ykMpBIUNHZjw+VCKBjCxkcnjtp9\nN6qwFZ9fLMSqCFesW+g77NarkjCZDRMDNn5YHTps68uZzAZcK2jBOwt8EDbEsYhlCrz0ewYczAzx\n3RPBasXJ/ppFdl0nXj6ahe8en4QF/g5qr5fIFVh14A4emuiI1+Z6QyiRQ6Zg8PHZfMyZYI+nBjii\n8MUyLPkhGdtWBGKunz2uF7RgZ0wZrr0zS1WvOZ/diN9Sa3Fx7QwN0mhyRQe+vFSEmHdnQ4+tg91x\nFShr68HPT4YCAF74NR3z/R20Nj1/fDYfDhaGamYNCQkJkNn748tLhbj81kytWcPXN0qwMtQVz0wb\nupF6MBo6hdh2vRQFjd1DSjd3CCQ4kFiF8jYBPG2V1Iixkjz75ZVNDXThZGkEGxM91HCE4HK5qBOy\nsSzYGQsCHDBrvO2wlASRVI7UKi6ii1pxs6QdM71t4ONgBp5IhuiiVhx7aQo8h2gOHgyFgkFhMx8p\nlRykVHAgYxgQATO8bTB9vC1C3S3HVFsiIjR2idAuECPC0+b/dub0n34MphIoFAydzWygB79PpPXn\n8lTEtZHQzhfTS7+l09snskck4EnlCtp4uZBmfxtHpS3dw46NK2lTkR+HQq9ETqsPpNIHp3NJLlcQ\nt0dCyeUdajWL7LpOWvJDIuVqyWoaO4W09OdkSipvp30JlbQjupQq2wUUujmGCpt4amNvV3bQ1O03\niSeUEsMw9OrRDPouqlT1e4Zh6LG9t+nk3brBb0NERM8cukNH++gNPWIZRWyNVb1HVl0nTdt+k8Ra\nMpZaTg/N3xFPHIGY2rpFJJTIVOe3M7pUgx7Rj6p2AS3cmUDrz+WRWHZ/InJpVRxa8kMSrT2WpTUb\nJFL+3bdfL6bgTdH08dk8VSb4dyA+Pp64PRI6nV5Py/ekUPiWGNpwqZBy6jpHJAfL5Aq6U8WhjZcL\nafpXN2nil1E0/tNr9Eti5ZjE64RiGSWVt9NX10vo0Z+T6cmDafTUL2n0861yyqzljkr9dTAwxszp\nv6a3brCeE6uvP+zRYCdk1nXhi4uFMDfUQ4DT8L1zJga6WBrsDL5IhndP58FIn41JrhZD9sTN9bOH\nrak+1p3Kg6uVkYZxZD+8bE0Q6WWNd07mwsZEX9W7NhB6bB0sCXRCfFkHkis4mOBghjeOZ2OBKwte\nXkpvOScLI9ibGWDdqVwsnuiolrGZG+nBy9YE//4zB4sCHBBb3IZXZ3vD0cIQX14qwuPhrqps0M3a\nGI1dIlwvaMZDQc6Y4mWN9ecLMNPHFvZmyr6vIFcL7I6rxPwJ9hq1OD9HM/yWWosF/g4wM9SDPpuF\n89lNeCTYGU4WRqjh9KKqQ6ihyGBprI+WbhEu5jahltuLgsZuOOgI4OnpiSleNkiv6URqFRdzB/Uh\nWpnoY2WYKy7lNuH3tDrM9bWD6RB1xe5eGdg69xyDXa2MsWayO6QKBuvP5yO3gYdAZ3WRfhMDXczy\nscPqCDdUtAvw9Y1SZNZ1wcPaeFgFitGgtrYW/r7emOhigTWR7lgU4Ig6bi8u5DRi181ycAQSWJvo\nw9ZUU4tJR4eFc1lNSK3mooknUjVbFzfz8XNcJUpa+BDLFHA0H50mlJ6uDjxsTDDTxxZPTnbHwgAH\n2JsZoqK9B0fTarE/sRoJ5R1o6RaDxQJsTfWhOwJl4Z/euhHg7eNHVRVD6zkVNXfj84uFGGdrgldn\ne2s0oWpDdUcP1p3KhbOFIbauGL7frt+w8rEwF6xb6Dtk/1xluwDfRJVhipc1Xp41TuuYHokczx6+\niyAXCyRXcvDMeAVeXLZAbczRtFr8llqLc69PV/WARRW2ookngkyuwLnsJjTxRMjbsAh6bB18cj4f\nPWI5fnoyVPUFEEkVePtkNpYGO2NZiAuu5DXjQGIVzq2drkr1v4kqRR1XiL1Pa9pNfXahAARg+4og\nSGQKPL4/DW/OG48HAx1Rz+3Fsj0puDxIgRNQLmGX7b6NWT62KGjqxht+ElXBuFcqx/O/ZsDLxgRf\nrdTsQ2QYwqGUavyRVoctywO1uinvia/EpdwmbF0epGGl1SuV40hKDQ4lV+PpqR54brqnhtln/9/g\n5N16HE6pQbiHJdZMdsfM8bZjajweikpApGR1X8lvxq3iNujrsbEowAGPTHLC+AFChWlVXOjrsuDj\nYKa20dPGFyOpvAPRRW24U82Fn6MZHg5yxJRxNiPehIdCd68M6bVKo4SGzl6kVHIwydUCkz2tMXWc\njUrAcCD+0XMaAZ98/dNGrttsTHK10Er5tzczxKpwN3B7pHj/TB74YpmGS8ZgWJno4/FwV7TwREqH\nE0fzIS3MHcwN8WiwMw4kVaGomY9IL2utNStrEwNEeFhh89XiPlUDG7WLSCiRY+PlIiya6ICowlYY\n6rHRI5Lg4Qh1JclgN0s08UQ4lFyNpcFO0GXrgMUCLuQ04Xx2E0wMdCEQyzHLxxZOFkaYOd4WNwpb\n0dUrRbCbUk1Aj62DcXamWHcqF0sCnRDpaYXE8g6UtgpUMsMRHlb48VYF7M0MNLLCCE9rbL5ShBA3\nS7jbmGC8vSk+PpePVZFusDc3BEOE43fqsCzEWXWOcaVtSKrgYHWkG3ZEl6GJJ8YD7myMH+elOqaH\ngpzwa2oNcht4mD/I9onFYiHcwxr+Tub46Gw+OnokmDrORq1GF+lpBVtTA6w/V4CyVgHCPaxUXDY9\ntg4me9ng8Qg33KnuxKcXCtAtkiHQ2VyNH6Wvq4NwDys8O80TALAzphzH79bDUI+N8fb3p1zQryox\nGCwWC/bmSgvyZ6Z6wN/JHIVNfHwTVYY71VxUc4SwNtFHsKsFnC2NNWpDpga6mOhsgUdDlJpQrlbG\nqOf2YmdMOfYlKOtogFJza7TcL0M9NrztTDHH1w5Lg53x7DQPuFgaoaFLhIzaLnx4Nh8xxa2obO+B\nTMHAzFBvzJIp/zWZk4+vH73282Ucu1uHV2eNw/MzPIckV7bzxdh0pRg1HCE+f9h/RKNLALhdycF7\np3OxItQV7y/yHZJcKZUz2HSlCJm1XTj0XMSQvV+dQile+DUdAc7m2LIsENUcIbLrurA60g0Xc5tw\nIacZOXVd0NEBZDI5CjY9CDZb/QJjGMKWa8og9/OTYaovTGNXLw4n1+C3tFr4Opghet1sAOp2UwML\n84eSq3GtoAWnX5sGfp+D8E9PhqqkWzJrO7H2eDai182ClYl69nijoAU7Y8tx7Z2ZMNBl49MLBWAB\n2LYiCDIFg4d/SsY7833wSLAzAGWf3c9xFYgrbYeXjTEqOoR4daIu3l2tbh3VI5HjtT+y4Odohk+W\nTND6eXcKpfjgTB7MjXTxznwfjb5JgViGvQlVuJDdhDfmeuPpKe4aN6Nmngg/x1WghiPE1HFKCoQ2\n628iQlIFB4eSq5UB0t0KT091H5Wk8Fgcf3MaunC9oBU3ClpgqM/Gqgg3TPe2QZCL9hLDYNRyhEgo\na0d+Yzdiitvg42CK2T52mO1rh2BXizH1CALKrLegqRvpNZ0oaxWAL5bh9xen/FMQH+7RXxBv7Oql\njZcLadr2myOqESSUtdG07Tdp/bk86h5hq5dIqXTw6tEMeuHX9GE7uxmGoV9TqiliayzdGYbgKRDL\n6OOzefTaH5lU0can0M0xan1/HQIx7UuoJK+Pr9Izv6RpnUMsUxbRN1wq1DjX7Dou+X12jaIKW1TP\nxRS10rTtN9XsohQKhp49fJd+vKl0Y7lV0kpzvoujLuG9TYSfbpXT2yeyNd6DYRh641gm7U+oJCIl\nWXXKtpt0t5rTdwyd9MhPyRpb4ByBmPbFV5LvZ9fJ/7OrJNdS3BWIpPT8kbv0r8N3h9wCZxiGfk+t\noZBN0fTrEH12pS18evJgGi3alUi3Kzq0zlPT0UPvn86lkE3RtCumTO3ctc23/lweBW2IovdO5VDe\nEEX2fvwVayiGYSi3vou+jy2jed/F07TtN2nDpUK6Xdkx6oK4WCanlIoO+jaqhBZ/n0hBG6Lold8z\nRuwDHS3wjzXU6IJTP9JruPTQ/jySrQAAIABJREFUj0n0+L7bVNQ09E4aXySlT8/n05RtN9VkSoaC\nQsHQgcRKCt8SQ9EDvvTakFjWTs8eUnKuhoJYJqfXjmbS07/coZV7b6sFkn4cv3yLZnx9i3bHVWid\ng9crpUW7ElUBYiDyGpRs5eLme7t139wooX+fzFZjpXcIRDT7mzjVZ/D19RI1jpRIKqfF3ydqPZd+\nb7q71dy+826j6V/dUvGZdsdV0Mq9t7V+mbp6xBTy5VWtkipEyt2q9efyaMkPScNykaraBbR8Two9\n9Usa1WuRXmEYhm4UNNPLv2XQS79lDMk7q+noofdO5dDDPyXRNzdKhm3y7eyR0JGUapr+1S16dHcK\nnc1s0Mqp+rt86xiGofJWPu2Nr6ClPyVT8KZo+vfJbLpe0Dwij2og2vliupDdSBeyG0cePAqMNTj9\n19ScBu/WuVgaYU2kO8Bi4eOz+Wjo6kWYu5XG2ttAl40F/g6Y6GyOr6NKkVnbhanjrFXjhBK5Wu2o\nv+YR4WmNj88VgC+SItxDu1iYh40JJrlZ4IuLhWju1lTNlCsYrD2eDX8nM/B6ZajjCtHME2F5qIva\nPNyWOrz16DTs6WNjD+ZtGeqxsTDAHn/cqVPaMw2QD+6XoN1yrQSLJjrAxEAXU8fZ4GxWIwqa+Jjj\np6wtGesr6xfrTuVgSaAT5vvb41BKNWRyBiHuytrcFC9rrDuVhwX+Dmo9byYGuvDpqzc9FuYCP0dz\ntHaLcDK9Ho8GOyPS0xoxxW0obuZryAkb6uvCVdaEP0t6wWIRggdJxurosLBggj14vVIcSanFODtT\nrYxnKxN9PB7mCrGMwTt/5kBXh4VJrhaqgjqLxcJ4ezMsDnQAt0eKj88pr4lAZwu1Aq+lsT4WT3TE\nLB873K7k4POLheD0iDHe3kyj68BIn41Qdys8P90T9mYGOJ2l7Ccsau6Gq5WRaqNiqJrT/YLFYsHG\n1ACRntZ4coo7loU4QyJnkF2nrAWlVnHB65XB2kR/2F47EwNdTHAyH1Zm+n4w1t26//WM5n/qMZxk\nSmePhD45n0/hW2LpbGbDkEs9oURGGy4V0uRtsRTTl8G88nuGmknlQPCEUvr3yWxavidl2B6wzh4J\nrT6QSi/9lk4CkZRy6rvoswtKc8r0Gi5tuVJE83bEk+9n18nj46uUWqm+9Oi/8zbzemn2t3F0KLla\n6/uUtfIpfEuM1t6y72PL6NG+vrf+Y5/zbZyG0+/BxCpa+nMyiWVyquX0UNjmGDVO1bE7tfToz8kk\nkmguszZdLqJXj2YQwzAklStoxZ4U2teXzXUJJTT9q5sUVaCZGcbHx1NDp5Ae2JVAh4c4NyKlW3LY\n5pghuVf9qO7ooTUH0uiRn5KpaBC/qx+dPRL66noxRWyJpR3RpaplfWkLn/bG38tAW7tFtPuWkm2+\n7s8cKm4ens9W09FD268XU/iWGFpzII2u5zdT9M24YV/zd6BHLKOowhb66EwerTmQRvN2xNOWK0WU\nUtGhlW/2dwL/LOvGHpz6kdfQRW8dz6In9qUOS7BMq+LQq0cz6L1TuXSrpJVmfH1rSOKfQsHQvoRK\npXrlMARLiUxBX10vpiU/JFF5K58mbYzWqMNUtwto8feJ5PPpNTVNpoHLgsauXpr5zS0Nfad+ZNZy\nKXRzjAbZkGEYeudkNq09lqWqy1S0KVUxswa0jTAMQ++cyKavb5QQwzB0Pb+ZNlwqVPv9p+fz6cMz\nuRpBXiyT09pjmarg2dTVS0/sT1XV0YqblW7FGYMakvvPr6FTSLO/jVMFNG2obBfQgp0J9OWlgmF1\nnxiGoT/v1qlaN4aqKTZ0Cun907kUtjmGjiRXUytPRLO+idOwfOf1SmlvfCVFbo2lT87lU0JZu+r8\npXIF7YwuVasXSmQKupzbSM8evkuBn1+lDZcKRwxsfxcUCobyG3j0Q2w5rdyrJH2+9FsG/ZFWS3X3\n0Rw/WvwTnP6G4EREJFcwdDS1hkI3x9DXN0pIOEShtUcso88u5NP0r27Rst0pQ2Yr/bhTxaEn+/rt\nhuoKZxiG9idU0pRtN+nNY1m0I7pU67jDKdU0ZdtNFet8cM2iniukud/F0alBWU8/Yota6ZGfkqli\nUAAWSeW05kAa7Ym/V7u6WdxKaw6kqRX4+SIpPbArQRUABwehHrGMHtiVQEfTajXeu6FTSBFb7wXq\nwa9NKGun8C0xaioKA8+vhSeieTviaU9cxZAZrkCszHAXf5+oJmCnbTy3R0Lrz+VR5NZYOpNZP+Sc\n5a182nCpgCK2xtKWPtnbweJ4RMoAfDaznhZ/n0gLdybQibt1JBRL6eXfM+jdP3O0zn/q2i3aEV1K\nTx5Mo6U/J9PvqTXDFtz/bnB7JHQxp5He/TOHnvoljeZ9F3+v1+4+alVDYazB6b+25jQUdFhKn7oV\nYS6IL23HzphyeNqaqPl3yRUMntifBomcgYOFIfIaeEip4GB5sDMshljLu1oZY7avHQ6lVONKXjPm\n+tnDSJ8NhiF0CqUw1tfFK0ez0M6XwM/RDLElbchv5OHFmV4aDNxQdys4Whjg43MFCHWzhKSrTa1m\nYWGkh/l+9vjwbD6M9NhqRpkAMM7OFAZ6Ovj4XAEeDHRU1Up02TqY52eHjZeLwdZhIdjVEuPsTMHr\nleKr66VYFuoMA102DHTZmONrj/dO52Gis9LlZSD0dXUwy8cO75/ORai7lVovmrmRHsLcLfHOyRws\n8LfX6KL3tDGBjYny3B4KcoSZoZ5aTcbUUBdLghxxOKUGGbWdmONrp1HP09fVwRxfOxjosrHuVC5M\nDXUR5GKBbddK0MYXqykYGOmzsdDfAZFe1riU24wDSdXwdTRTKRHkN/IgZwietiaY4GiOiU7muFnS\nhobOXpzJasCyEGeYD6AW6OroIMDZAk9Pccc4O1PcKGzB1mulmOxljZyGLrQLpJjmre6e09FUh6cW\nRGB5qAtcrYxxs6QdGy4XoUMggUxBcLMyBluHhR6JHI/uTsFsH7thezXvF0b6bExwNMfiQEesCHFB\nhKc1OEIJLuY042p+C05nNqC1Wwx9XR3YmRqM2n2lH2OtOf0TnIaAiYEuFgY4wM3GGJ9fLERBUzci\nPZVkPR0dFub42cHdpt/f3gCVHT04nFKDqeNs4DKEDIfSfNMFFe092HS5GJGeVpApCCv2puLZaZ6Y\nMd4GBnpsNPFEaOkWgyuU4nYfIXEwd8XXwRyeNsZ4+0QOXE2AyQHqbHILY30s9LfHx2fzYWKgi0AX\n9QAV4GQOFoBNl4vw8CQnFefLWF8X8/3s8cGZPHjYGMPb3hSh7pYoaxPgZHoDlk5ygo4OCxbGegh0\nMce//8zBQn8HDScSS2N9+DqY4VByDcI9rNS4Qc6WRrA20ceWqyV4KMhRg28W4GwOXR0Wtl8vxQJ/\nB3BaG9WCr4mB0rvuTGYDLuQ0YWGAgwYBkcViYaKLBRYGOOBgYjVulbZjaYgzvrhYiMfD3TRaORwt\nDLE4wBF6ujr47EIh8hu7EeRqgfzGbmy8UoxlIc549kg6Eso7IJIqYKinA16vDCcz6kEAJjiZqR0D\ni8WCu40xHgpywvwJdkiv7kJGbSduV3JQ3SHE4omOqr9pf/DVYbHgaWOC/6+98w6L4lz78D0gKhZE\nQBAQ6VUpNqyxdxOTaIwtxiQmpvdeTpoxiSmabopppthi76KAJTaU3nsvS28LbHu/PxY4rLu05JzE\nnG/v6+Jy3Zld3mFmnnnfp/ye+f72rBzrTE2Dkq0Xsnn/eAoFVQ3YWfRm8IBevLAnjtl+dgbzrf4s\nLYmfY1ysuG3UEOb5D8be0pzUkjptbtz5bH7PKKeirok+PU271N7cWL7SCV1tR24IuULFppBU0mV1\nLAxy4JYgR4MnZGNICj9fyOHhaR7cNdG1wyzhE4nFvLwnnqdme3EkroibAh24vU27J4CTSSU8vi2K\nBYH2vH2Lv8HEuEuZ5dz7w0U+XDqqtcV3W7LK6ln+9QVemOerF+UD2HgihbNpZfxwzxid9lUxeVXc\n/UMEW5oTMlVqDWt+vIK/4wCenu3Vevx7IvP5PCydXQ9MMKhK+d25LH69nMvuByboPe0/D03jeGIJ\nv9w71mDW/hfh6eyMyOMxf8GiudP1tqvUGt44mEhGaR0bFge0m9CqUGn4NDSNbZdzGeZggZ1Fb967\nLdDgvqA935vDMziVVMIkDxsyy+oZMrAPry8cprdvuqyWL8IyyK+UM8rFirsn6pa7fHMmk3ePJWPR\nuwcDzM2oa1IhV6ixs+jNiuChLBrlSFzEhU4bHOyPKeBAdCFNKg2uNn1ILq5l94MT2tWj6ojtl3NR\nagQzfGwNtosqqm6gX68eBs9JaW0T5zPKOJ9eTl6lnNSSOsa7WzPezZpxbla42vTVuzf+aPmK0Th1\ng9j8Kp77LRb7Ab1Zf6u/wRNbUNXAu0eSKKltYtPSoHblNZRqDdnl9Tz4cyRDLM3JrZBz8qkpelPm\n2kYlj/wahcOA3ry0wNfgBfP9/pNsz+zJmhtc9QwcaGsAV265xGMzPFneRhoFtD7HjSGpnM8oZ+s9\nwTph83NppTy5M4Zf7h2Ll11/ahuVLPv6IrP9BvP4TM/W/d47lsyFzHJ+vXecweLSdYcSiSuo5qc1\nwTqzCyG0ffMySuv44e5ggyUUX5/J4JuwFPY8OgUnK30ZECEE2y7lsvFkKu8vCWSagVq6rReyyauQ\no9JoJZjL65r4aGkQC4P0jXVbSmoa+fhUGkfiilBrBG/cNIxFo4YY3De3XM6Wc5nsjy5kvv9g7rvB\nDbdB/dBoBAJ0HlRCCCJzK/npQg4JhTVYmzbwxE1jGOtquOszaCVvrmRXcCGjgjNppcQXVCOAZ2Z7\nc1OAQ7tlU4YIS5FxILqQ8BQZgweYM2eYHZM8bAhysqSHqQk//K59oPx4T3CnQnt5FXIuZJRzIbOc\nmkYl8QXVjHOzZpybNWNdtcbKxMTEaJw64j9hnED7FP7qdAa7rubzwBQ3lgcP1bug1BrB12cy2XI2\nk9cXDuOm5tKMtrx9JIltl3Lxc7CgtK6JvAo5ryzwZfUEV719VWoNbx5K5HJWBd/eNUbP4IWHh+M0\nbDR3fnuZuya4cN9k/YLhrLJ6Vn5zkUeme7JirK6B0mgEL+yJJb+yge/uGqNjJPZFFbDhWDI77x+P\nk1UfZLWN3Lb5AvdPcWPlWK12khCCp3bGUN+kYvMdo/RmjBqN4JFtkVj0NmP9rf4629UawRM7opE3\nKdm8chQ9DRioV7aeIKa6Dx8sCWy3IDsiu4JHfo1kRbAzj0730DHylzLLicqrQlbTRHF1AxE5lZTW\nNnHXBBdevdHPoA/lTGopT+2MwUQCIaC8vgmNgNdv8mP52KHtahyV1zWx9UIOockl2Fn05p5Jrox3\ns27X6FTWK3h/12kiKnrSt1cP5gwbzOKRjnpKB+fTy/j4VBpDrfrgbN2HIZbmVNQryCyv51h8MZM8\nbPCxt2CBv32X22GpNYLInArCUkoJSymlqLqBBcPtGek8kNwKObuu5PHDPcF4taOkcS1CCHIr5FzM\nLOdSZgVZZfWY9zRl29rxRuPUEd7e3uLpb44wb3jXT15HpJXU8sxvsfTrZcq7iwwvKeLyq3nvWDJ2\nA3rz+sJhrRK5LVTUK4jNryImr4pdV/MpqGxgw+IAbh+jP/sRQisB/M3ZTLbcOUbHyd1Sm1VY1cCq\nby9xU6ADj8/w1LshssvqWbnlEk/M9NTpGAzaC/XJHdHUNCj4atXo1o4roO279/3vWey8fzy2Fr3J\nLqvn9q8usO7mYcwZrm2coFBpeGpHNLYWvfjXjX56v7tRqebRbVFY9+3J27fqqgko1RrWHUqkuLqR\nT1eM0Lvxw8PDqbb05M2DiXy6YgQT3A3XOspqGvnXvng0QvD2ogA9Ubq2nEoq4aOTqZib9eC1m/wY\ndo1PTghBaV0TGg2ohUCjESQX1bAtIo/kohqemePNjQEO7QoONijU7I0q4NtzmQwwN2NF8FBuDHQw\nODsMDw9nypQpROdVsf1yHkfjixjjYsWyYCemeNl22k9OpdZwKauCw3FFHI8vxsHSnJsC7Znpa9el\nPowtFFc3ciGjjOMJJfyeUUb/3j0orW3iwSnuPDLds9t97YQQ1DSqsOzT06hK0BGfffbZ64FzlvH8\nnlgq6hUEOFr+qS4c1v16sWTUEMrrFTz7WyxWfXviO1hXhsLOojdzhw/mTGoZ7x9PZpSzFXZtnojm\nPU1xsenLODdr7pnkiqW5GR+cSKWHicSIoZZ61fYjnQcy1KoPX5zOoF+vHrjbai+8Fodq/95m3Bhg\nzy8Xc7mUXcFUb1udjHPLPj2Z5WvLC3viEAKdTHITSWKmnx1xBdXsuJLP3GGDW2c4QU6WNKk0fHwq\njdl+WgfpBA9rnt8dh/ugfjhb98XURGKy9yA+C8sgs7SOGzx15UN6mJoww8eWLWczSSqqYar3v/WY\nTE0kJnrYcDS+iP3RhcwdPljHv5adnc3ccQH4DxnAo79G4WBpbnAG1bdXD+YNH0xGaT0v7Y3D065f\nu4qQboP6sWzMUHqYSjy9K4aCygadCgFJkujbqwf9evfAorcZA8zNcLftx81BjoxwHsjuq9oZZU9T\nCe/B/fX8gWamJvgPGcCqcc44DuzN9oh8NhxLprpBiatNH53leXZ2Nq6urtgPMGeWn51W6UCSCEuR\n8cq+eAqqGrDq2xM7i14GZ2AmJhJDrfoww9eONZNccRvUl6s5VWw4lsyuq3lUNyjp07MHg/ob/nwL\n/XprlSpyK+QoVBryKhswNTEhsaiGL8MzuJpTSb1ChbmZKQP7dO4IlySJ3mamRod4Z7Qs62Q1jWw6\nqXVuzxtuz6rxzu0qCHSVdFkdr+6PB+C92wIMOikPxRby2v4EnpzlxYrgoe2GY/Mq5Lx/PAVJgncX\nBRj04cTkVbH2pyusnezOPRNdOH36tI5DVVuxf4UB5mZsWhqkNxPJr5SzcssllgcP5YHmjrwtKFTa\nkhlTE/hsxcjWv40QgnePJXMurYxf7xvHAHMzruZUsHbrVT5fObJVoaBKrmDZ1xeZN9xexy/VQk2j\nkpXfXGKShzXPzfXRucCVag1P7oimSq7kyztGtorFta3aTy6u4ZW98Yx1s+LpWd7t/h0vZpbz1I5o\nlgUPZe1ktw4fRJX1Cj44kcLxhBJemu/DzUGOXZI8icqt5NPQdO2MdOxQlgUP7bABRkZpHT9dyCGj\ntI4+PU25Y5wzE91tOHPmdLsO8bwKOXsiC9gblY91v15M8x7EzUGOXZr9t6gXXMysYOeVPFRqwSw/\nO+YNH8xI54EGr/tTSSXkVsjxdxyAr71F6/FU1Cs4m1bKxcxyzqSWoW52qI9yGchEDxudh+61GB3i\nnXCtzym5uIb1h5MoqGzgpfm+zPC17fRJ0BEqtYavz2ay5WwWz83xYukYfV9UbkU9T+2IoU+vHmy8\nPbBdOY0GhZoX98SSWlLHV6tGGbwQ8yvl3PNDBGNdrZnSX8bMGbrRrCaVmid3RKNQadi0NEjPkV5c\n3ciKLRdZOsaJtTe46Yy1SaXmoZ8jMTM14ZPlQfRsNm5CCN48lEhkbhU/rwmmf28zzqeX8ei2KB2Z\nldLaJu749hLLxzhx10R9H1qVXMFzv8UyZGAf/nWjr87vVmsEHxxP5kJmBd+uHo11v156kiJldU08\n9Esk/Xr14KNlQe120qmSK3jzUCLRuVV8cHtgu/rsLcQXVPNhSApFVY28ssCPSZ6dS+WAVqjw87B0\nLmZWsGqcM3dNcNFLrWhLXZOKfVEF/HwxhyaVhomDFDx129QOe/BpNBqi8qrZF1XA4bgiRg21ZLLX\nIOb523dJlkUIQWpJHSGJxSQV1XAuvZwpXto26pM9bbrU167td2WXy4nIKicspZQLmeVY9+3JggB7\nfAZbMM7NWudYjMapEww5xIUQhKeW8tahRIKcLLlvshs+g/9csWNKcS1fhKVT26Ti3UX+eo5NpVrD\nppBUdkfm8+GSoHZvACEE3/2ezRdh6Xy2YgTjDfhZahqVrDuYSGpuET8/PEPPAKk1gg9OpHA2rZTv\n7wrW88HIahq576erjHW14sV5PnoG6s0DiVTIFXy8bESrv0EIwYZjKSwe6dgqLnc6tRTb/r10CoqL\nqhpY/s1Fbh/jxENTdYXwQKuouPr7y/ja9+etW/z1olkfnkjlUGwhP9wdTHZ8hN7MosVPlVpcyxs3\nD+9QufRwbBGvHUjgtlFaFdKOZlFCCI4nFPP2kWR87fvz1CwvvLt4TWSW1vHV6UyKqhtwtenLPZNc\ndZJ3Df2uqzmVbDpwmbgKiSnettwxdihj3azb/Qxoj/18ehl7ogoITZYR5GTJklFDmOJt2+Xcp5Ka\nRk4lyTiZVEJMfhUeg/ox3ceWaT62eNr269aDWqMRJBbVEJ1XxamkEq5kV+I40Jw5wwYT5GTJdF87\no3HqiI6idUqVhm0RuXx8Mo0FAfY8OdOrwydfZyhUGj4LTePXy7m8vnAYNwY4EJtfxbH44tb+befS\nyvj+9yx87S14YqZnu+JelzMreHhbJPdPdmPNJFe9i0ap1nDv5hBKVOZ8d9cYvfQGIQQfn0pjb1QB\nW+8J1rtZquQKVn8fwTAHC966ebjOMkmh0vDotkiUasEXK0d220dXUtPI8m8uckuQI4/N0F/i1TWp\nuPfHCAZbaDvKXLvM+OVSDh+dTOMBP4k1t87Q+zzA/ugC3jiYyAtzfVgyeki7N1VZXRNfhGcQlixj\n/a3D23Wqt9CkUrMnsoAPjqcwzceWJ2d5dbnrSklNIz+cz2b75VzGuVlz32Q3RjhZtju28PBwRgRP\nZF90AeX1Cp3OM50hV6gITZZxPr2MgzFFBLtaMd/fnll+djqZ6x3RoFBzPqOM0GQZeRVyMsvqmeZt\ny1TvQYx3t+6w47UhVGoNcQXVRGRXUNOg4tm5Pkbj1BFdSSWorFfw0clUEgprWBjkwIpgfWXE7hCd\nV8UzO6OZ6GHD2snu3Pz5OX6+d2zr7Ky0tomndkbTqFTzyfIR7eaU5FfKuf+nq3jY9jPohwoLCyPN\ndCjfncvmm9Wj8XfUbzD588UcvjqTwRcrR+LvaKmzrcVIeNr249WbhukYiRY/UHWDkq9Xje6SSH5b\nZLWNrPj6IktGO7F2spvBKN76w0nkVMj5YuVIvYhmeIqMx3+J4LVbAlk00nCOUVpJLQ//GskwhwGs\nu3lYu40NAEISS3htfzwTPWx4cZ4PVp0siWoalXx9OpOfL+WwZpIry4O7pm4JWjmdPZH5bDmXhaW5\nGXdPdGW+v71e1OvPtCNvS22jklNJMo7EFRGZW4m/4wDm+dszy0AGf3u0LP/CU2SEpchaS6cme9kw\nxcsWL7vuzarAuKzrlO7kOSUX1fDagQRqGlW8sXCYngh+d5A3qXjveAonEoqZ4WtHQZU2l6gFjUbw\n5ZkMfjqfzfpF/kz3sTP4PY1KNS/sjkWlETw/10fHD9VycYckavvqvbFwGHObQ/xtOZlUwvO/xbJx\naRBTrtFNalSqeX53LDUNSr5YOUrHCKk1grcOJ5Iuq+PzlSO73C25hbLaJu764TJBTpa8sXC4nrNZ\npdbwr/3akpHv79LvfvzLwVC+TpaY7WfH83N9DD4wGhRq3j+ezNm0Mt5dHMAo5/b9S3VNKjaeSOFS\nVgV3jHNm6WinTuvFZDWNfHM2i11X81g2Zij3T3br8g2v1gjCkmV8fz4LhFZbfcXYoa1O5P+UcWpL\nbaOS0GQZx+KLkdU20dvMhDnDBjPbb3C3OvzWNiq5kFHO6dRSwlNkDOzTE+/BFkz2smGih02XDLXR\nOHVCd5MwhdBmE799RFv/df9k9z/UAigsRUZ8fjWNSjXbIvJoUqrZfMcoPVG1yNxKHvklkvn+9jw3\n18dgTkmLH2pzeAYfLwtiYrO2eduLO76gmvu2XmHVeGcenOKu95S7kl3BAz9H8vxcb71cJ6Vaw/O7\nY8kpl/Pt6tE6TlKNRrQmgm5dE9zl2UMLtY1K1m69ilW/nmy8PVAvgiiE4POwdLZH5PLt6jE6fp7w\n8HCCgifwyK9RDLEy59nZ3gbbbgMciy/ilX0JLA924rEZnh1GYhMKq3l1f4K2DObm4QQ5Wba7bwsF\nVQ18HpbO72ll3BjowJpJrh06sq8lubiGny7kcDCmkBs8B7F6gjP12bFMmzaty98B2iW3RoguLbXr\nm5ScTdPmL4Umy5juY4uHbT9m+dl1y7+k0WjIqWjgXFopZ9LKKKpqQCNgkqcNE9ytCXa1MrgENBqn\nTvijGeL1TarmmyaPR6Z5cOd45w6XeumyWnr1MG2d2cTkVXEsoZis0nrSZLVkldUD8MXKUcwdrlsL\nV9ksyF9Wr+DTZUF61f4tnM8o4/Ht0a1+qGtTCYqrG1nzYwSTPGx4era3nqFLl9Wx5ofLrBrvoufH\n0mgE7xxNIia/mk+WjdB5ygoh+OhkGgdjCtm6JrjbdV2NSjWPb4/Cqk9PXlzga3AGdiSuiH/ti2fD\n4gBm+mlnkS3GV6XWsDEklX1RBXy6YgSjnA3PaGU1jTy3OxZLczMemOreYZBDCMGeyAIOxRVi1acX\nz8317jAs3kJehZzNpzM4HFvE7aOHcN9kN4MtpNqjplHJ3kht5C1fVsmaab4sHunY5ajZxcxy1m69\nwkw/O24OcmSiu3WXXBBKtYbLWeWcSCghJLEEsx4m3Bhgz0QPG8a4WHUrrUah0jYzOJdWzu8ZZfQ0\nNUGh1jDB3ZoJ7jYEDhlALzNTo3HqjD9bvpIuq+O1A/GYmZrwyDQPRrsYvjF2X81n/ZEknpzpycqx\nznrLBaVKzSv7Eprbj3tw7yQ3nX2EEGw5m8mRuGLun+KuZ8BaKKhq4J0jSZhIEgtsq5gzQ/fJK1eo\neHZXLKW1TXy5apTe072kRmvA/OwtWH+rv85FKYTg+/PZfHs2i+/vHqNXvrD1fDY7ruTx4e2B3Y5u\ntpTiXMws57u7xhg0cFFbgZHwAAAgAElEQVS5lTz4cySrxjvz0FR3PeN7KqmE53fHcv9kN+69Qd+P\n1XIMO6/kseFYCneMc+aRaR4dZji3dGLZdjmXuye4snayW5f8a0XVDXx1OpOM0jqcrfuw9gb3btW5\nCSH4em8oSQorYvKqCHTS9sDrqM6uBVlNI4dii9gfU4hVHzMcB5pzY4BW9rgreVpCaPvinUoq4VSy\njJxyOfOGD2asmxWTPQe1Ozttj/omFRHZFVzIKOd8RjlCCPwcLHh/SZDROHXEf6K2TgjBsYRi3jiQ\nyGQvG16Y54tV355cyChHVtvIzc2FpOmyWp77LZYepia8t9gfFxv9EoK8CjnvHkuiWq7ivdsC9KJs\nUbmVPLpNK0fy4nwfg7VcjUo1L+2JIyK9iF8emKJ3U2iaUwkOxRaxZfVoPSNT36TisW1RNKk0fHGH\nvi9pX1QBbx1O5LMV/06ybOFATCFvHEjosJykPYQQfP97Nl+dyeDrVaNb++S1pbi6kbU/XWHkUEvG\n9ill3kxd45tfKWdTSCpldQreXxLQ7qyluLqRV/bFUVzTxJsLhzGyA18UaM/Le8eSya2Qszx4KLeN\nGtKlGUlpbRM/nM/i10u5TPIcxPpbh3fZN9cyM6yob2JvVCE7InJRqgWrxzszz9++SzO5nPJ6DsUW\ncTCmkIp6BYtGOjLdx47RzgO7rL8kq2nkfEYZR+OLOZ9ejoddP24MsGeMixXDHQZ0W8epWq4kr1KO\n/xBLY2uojn5alDCLqxvEF2HpQt70x3WTaxoU4vUD8WLUuhNib2S+SCuuEUFvHNfp/tGiqDnyzRNi\ny9lMg+qXKrVGfBaaJkatO2GwDU9VvULc92OEeGJ7VLtj0Wg04qUfTojx75wUp1NkBvfZfTVPrPz6\nojiZWKy3TalSi3/tjRUP/HTFYDurs6mlYsp7oeJgtP74fk8vFSPfPCEOGNjWFY7HF4nV313Sk7xt\nQd6kEi/sjhFj3zxsUDa5Rf529FshIiRB/9haaOmsMuatEPHinlhRVd+5umNkToVY+tV5Mf2DMHEs\nrqjDFmJtqWlQiF8u5hhsQdUe1yqZajQacTWnQmw4miT8XzsmVn93SRyMKRANCsOqrNeSVlIjPgpJ\nEXM2nRZj3goR6w8niN/TS3W66dz9/eUOWz81KlXibGqp+CgkRcz4MFyMfPOEeGJ7lDgYU9BhxxlD\n8AeVMP/fzZwKqxp463AikTlVPDbDk9tHd+3JaIjEwmpe3BNHzx4muA/qR71CzafLR+jsk1VWz3O/\nxSCEtrTFUCFmTF4VT+yIZs4wOx6e5qGTTCmEoLK5Y0Z7hIeH09c5gId/jWT1BBcemqrvCL+aXcFD\nv0Zy1wRXHpiiuxQSzTOZL09n8OWqUXqZ1ElFNdz74xVWjB2q993JxTW8vCeOaT62PDzNo9th5sTC\nGtb+dIUFAfY8N8fH4HLkrV9C2JMJryzwNZhOEJFdwbO7YpjlZ8djMzwNysoAVDco+eB4CscSinn1\nRj9uDLDvcLxCCE6nlrL7aj45FXKenu3NZM8/1nK8IzqK1skVKo4nFLPrSh6ltQrGuFqxaIQjo5wH\ndmkcGaV1nE0r5ber+RRWNTLL1475AYOxNO/J2p+u8PQsb4OF5teSVyEnPEXGxUytZIuzdR+me9sy\nzs2aUS4D21VpAKNDvFOuXdbF5GkLIweYm3FzkCNzhtl1+6LLLZeTJqslIruCXy9pFRE/WTaCaT66\nmkIajeDHC9mEJsuY4jWIuw0I0dU3KXnrcBLn0sv4aOmIDkPh19JycRdXN/LgL1cZ1K8XH94eqHeT\nFlY1sPanK3gM6sc7i/wxvyayEppcwrO7Ynn1Jr/WJWoLLT4qn8EWvH2rv47/RlbTyJofr+Bpp/3e\nji5UQ1TUK3j4l0jMTCU+Xj6Cgdc4hcPDw7HzHsmHJ1KwMDfjzZuH6+VD1TQoePuINpVgw+KADktP\novOqeP9YMo0qDa/fNExPxvhaNBrB0fhiNoakMLBPT56Z490ln1BX6WoqQUFVA/uiCtgbVYCluRkT\n3K25eYQj7l1UHsirkHM8oZj4wmpOJcoY4WxJXH41d45z5snZ3l0er1KtISq3isicCo4mlJBeUsso\nFytm+9kycqgVPoP76ywBjcapE9orXzmdUsq7x5Lp16sHL8737dAo5JTXk1Fa15qLdCKhmJ8u5lBa\n20RxdSNVDUpMJHhlgR/3TNKvKcsuq+fZ32IAeP+2QIMV88fii3llXxyrxjvz8FSPdmd1YckyfOy1\nWtdtL+4mlZq3DiWRVVbPqzf56fmZGhRq3juWRFReNZvvGKmX+JlUVMMHx1MY5mDBEzO9dC4yuULF\nc7/FohGCt27x15nNyRUqntwRjUYI3l0U0G1nqlKt4cvTGey8kscXK0YZlISRK1S8eVDrTP942QiD\nvqrTqaW8uDuWm4MceHCaR7t+H41G8NvVfN4/kcJsPzsen+HZaaqIWiPYH53Pj+dz6NXDlMdmeDLR\no32tJtBmsBdWNbI82KndSFx385yEEMQX1rAvqoCDMYXYWfRm2RgnpvvadioOB9rZ1Pl0bUb4pawK\n5Ao1HoP6sSzYiZm+tgZ9pB1RLVdyIbOMxMIaDsYWUdOgZLy7NdN9bBntbIWzTV+jZEpHGNIQlyQJ\nF5u+LG/OBP8sNI0zaaUMcxhg8ELKKZfz8t54zqSWEjjEklEuViwaOYQ7xjnzwFR3HprqgUqjYcvZ\nLFJltYx2HqiT92HZR9vYsa5JzfrDiWiEIHCIblmDR7MsR0hiCV+ezmCCu43BeqlTSSU8vTMWT7t+\nSHWlrRrbPUxMmO5j2yridq28iJmpVvy/Sq7khT2xjHCy1HHGD+rfi4keNmwOzyA0RZsT0zJLMjPV\nJvIlFNaw7lAiEz1sWo2QmakJC/ztya2Q88q+eMa5WevV8lU3KHnzUCKjna308nNMTSTGuloz2KI3\nj2+Pok+vHgQ4DkCSpFZJGDNTE2b62WFr0Zt1hxKpblQycqiuw9fFui9LxjhxKaucV/Ym4GhpjoeB\nXJ4WjfGlY5zIKqvjqZ0xqDUCf8cB7YbTTSQJX/sBLBk1hF5mpmw4lszJJBmWfcxwsdaXp23hZKKM\nf+2LJ6+ygaFWffQMd3ebakqShJ1Fb6Z4DWqt34stqOalvXGEJsloVKpxsOxtUCFBCMHDv0RRXq9g\nWHMjhvsnuxHoZMnVnEp2RebzZbhWdtjM1ITBA3p3GvnrbWaKh21/xrvbcNcEF24MdMBEkriaU8nJ\npBKu7P3a2FSzo5+utIZqUKjEZ6FpIuiN4+KNAwkG2/M0KdVic3i6CHrjuPgy3LBjva5RKTYcTRLj\n3z4pdl813KQzQ1YrFn3xu7j9y/OtPegq65vE0bhCIYS2t9g3ZzLEiDdPiD2Rhr/jYkaZGPf2SfHA\n5mNCYaBvXnxBlbhhQ6h472iywVbfYcklYtS6E+I3A2NsVKrEs7uixfyPz4jccn1H+Z7IPDHizRPi\nRIJ+E8x9UflixJsnxOHYQp33FSq1eP1AvLhhQ6iIb6eZpRDappdzNp0Wr+2PF1VyhcF23QUVcnHH\nloti4adnddpIteVSZrmY8WG4WPNDhCioaL+pqRDaZpcP/nxFjHv7pDgQXdBu+662qNQacTy+SMz9\n6IyYs+m02BeVr+N0bktJTYPYeCJZTH4vVKz45oI4GlfUuu9/qh15o1IlQhKKxePbIkXw+hCx7KsL\nYuuFbCGr6boDW63WiOjcSrHxRIq48ZOzYtW3F8WDP18ROy7nipIO2r13BEaHeMd4e3uL5OTkLvkJ\nSmub+PhUKrkVciZ7DuLO8S6ts4ec8nocLc0prWvi3aPa9uSv3uTHbD99n1VMXhUv7InDpp9W/fFa\n6RO1R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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot the streamlines\n", "width = 4\n", "height = (y_end - y_start) / (x_end - x_start) * width\n", "pyplot.figure(figsize=(width, height))\n", "pyplot.grid()\n", "pyplot.xlabel('x', fontsize=16)\n", "pyplot.ylabel('y', fontsize=16)\n", "pyplot.streamplot(X, Y, u, v,\n", " density=2, linewidth=1, arrowsize=1, arrowstyle='->')\n", "# plot the source sheet\n", "pyplot.axvline(0.0,\n", " (y_min - y_start) / (y_end - y_start),\n", " (y_max - y_start) / (y_end - y_start),\n", " color='#CD2305', linewidth=4)\n", "# compute the velocity magniture and indices of the stagnation point\n", "# note: stagnation point approximated as point with smallest velocity magnitude\n", "magnitude = numpy.sqrt(u**2 + v**2)\n", "j_stagn, i_stagn = numpy.unravel_index(magnitude.argmin(), magnitude.shape)\n", "# plot the stagnation point\n", "pyplot.scatter(x[i_stagn], y[j_stagn],\n", " color='black', s=40, marker='D')\n", "pyplot.xlim(x_start, x_end)\n", "pyplot.ylim(y_start, y_end);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We said that the strength $\\sigma$ represents a volume flow rate emanating from the source sheet. If you play with this parameter, you will see that the stagnation point comes closer and closer to the source sheet with decreasing strength.\n", "\n", "If we wanted to use multiple source sheets to represents the streamlines around a given body shape, we need to make each source sheet part of the dividing streamline. The question will be *What is the source strength to make this happen?*\n", "\n", "The volume flow rate on just the left side of the sheet is $\\frac{\\sigma}{2}$, flowing in the opposite direction of the freestream velocity $U_\\infty$.\n", "Therefore, the flow-tangency boundary condition required is $\\frac{\\sigma}{2} = U_\\infty$.\n", "\n", "Now go back to the code above an replace the `sigma` by the correct value. *Where is the stagnation point? Where is the dividing streamline?*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Learn more" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `lambda` statement can be especially confusing when you are starting out with Python. Here are a couple of places to dig deeper: \n", "\n", "* an interesting blog post that treats the subtleties of lambdas: [Yet Another Lambda Tutorial](http://pythonconquerstheuniverse.wordpress.com/2011/08/29/lambda_tutorial/) at the \"Python Conquers the Universe\" blog (29 August 2011)\n", "* the chapter on [\"Anonymous functions: lambda\"](https://www.inkling.com/read/learning-python-mark-lutz-4th/chapter-19/anonymous-functions-lambda) of the *Learning Python* book by Mark Lutz." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---" ] }, { "cell_type": "raw", "metadata": {}, "source": [ "Please ignore the cell below. It just loads our style for the notebook." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.core.display import HTML\n", "def css_styling(filepath):\n", " styles = open(filepath, 'r').read()\n", " return HTML(styles)\n", "css_styling('../styles/custom.css')" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 1 }