{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "###### Content provided under a Creative Commons Attribution license, CC-BY 4.0; code under BSD 3-Clause license. (c)2014 Lorena A. Barba, Olivier Mesnard. Thanks: NSF for support via CAREER award #1149784." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Lift on a cylinder" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Remember when we computed uniform flow past a [doublet](03_Lesson03_doublet.ipynb)? The stream-line pattern produced flow around a cylinder. When studying the pressure coefficient, we realized that the drag on the cylinder was exactly zero, leading to the _D'Alembert paradox_.\n", "\n", "_What about lift?_ Is it possible for a perfectly circular cylinder to experience lift?\n", "What if the cylinder is rotating? Have you heard about the Magnus effect?\n", "\n", "You might be surprised to learn that all we need to do is add a [vortex](04_Lesson04_vortex.ipynb) in the center of the cylinder. Let's see how that looks.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, we recall the equations for the flow of a doublet. In Cartesian coordinates, a doublet located at the origin has a stream function and velocity components given by\n", "\n", "$$\\psi\\left(x,y\\right) = -\\frac{\\kappa}{2\\pi}\\frac{y}{x^2+y^2}$$\n", "\n", "\n", "$$u\\left(x,y\\right) = \\frac{\\partial\\psi}{\\partial y} = -\\frac{\\kappa}{2\\pi}\\frac{x^2-y^2}{\\left(x^2+y^2\\right)^2}$$\n", "\n", "$$v\\left(x,y\\right) = -\\frac{\\partial\\psi}{\\partial x} = -\\frac{\\kappa}{2\\pi}\\frac{2xy}{\\left(x^2+y^2\\right)^2}$$\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Let's start computing!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We'll place a doublet of strength $\\kappa=1$ at the origin, and add a free stream $U_\\infty=1$ (yes, we really like the number one). We can re-use the code we have written before; this is always a good thing." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import math\n", "import numpy\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 = 50 # Number of points in each direction\n", "x_start, x_end = -2.0, 2.0 # x-direction boundaries\n", "y_start, y_end = -1.0, 1.0 # 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": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "kappa = 1.0 # strength of the doublet\n", "x_doublet, y_doublet = 0.0, 0.0 # location of the doublet\n", "\n", "u_inf = 1.0 # freestream speed" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here are our function definitions for the doublet:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def get_velocity_doublet(strength, xd, yd, X, Y):\n", " \"\"\"\n", " Returns the velocity field generated by a doublet.\n", " \n", " Parameters\n", " ----------\n", " strength: float\n", " Strength of the doublet.\n", " xd: float\n", " x-coordinate of the doublet.\n", " yd: float\n", " y-coordinate of the doublet.\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", " Returns\n", " -------\n", " u: 2D Numpy array of floats\n", " x-component of the velocity vector field.\n", " v: 2D Numpy array of floats\n", " y-component of the velocity vector field.\n", " \"\"\"\n", " u = (-strength / (2 * math.pi) *\n", " ((X - xd)**2 - (Y - yd)**2) /\n", " ((X - xd)**2 + (Y - yd)**2)**2)\n", " v = (-strength / (2 * math.pi) *\n", " 2 * (X - xd) * (Y - yd) /\n", " ((X - xd)**2 + (Y - yd)**2)**2)\n", " \n", " return u, v\n", "\n", "def get_stream_function_doublet(strength, xd, yd, X, Y):\n", " \"\"\"\n", " Returns the stream-function generated by a doublet.\n", " \n", " Parameters\n", " ----------\n", " strength: float\n", " Strength of the doublet.\n", " xd: float\n", " x-coordinate of the doublet.\n", " yd: float\n", " y-coordinate of the doublet.\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", " Returns\n", " -------\n", " psi: 2D Numpy array of floats\n", " The stream-function.\n", " \"\"\"\n", " psi = -strength / (2 * math.pi) * (Y - yd) / ((X - xd)**2 + (Y - yd)**2)\n", " \n", " return psi" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And now we compute everything to get the flow around a cylinder, by adding a free stream to the doublet:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# compute the velocity field on the mesh grid\n", "u_doublet, v_doublet = get_velocity_doublet(kappa, x_doublet, y_doublet, X, Y)\n", "\n", "# compute the stream-function on the mesh grid\n", "psi_doublet = get_stream_function_doublet(kappa, x_doublet, y_doublet, X, Y)\n", "\n", "# freestream velocity components\n", "u_freestream = u_inf * numpy.ones((N, N), dtype=float)\n", "v_freestream = numpy.zeros((N, N), dtype=float)\n", "\n", "# stream-function of the freestream flow\n", "psi_freestream = u_inf * Y\n", "\n", "# superposition of the doublet on the freestream flow\n", "u = u_freestream + u_doublet\n", "v = v_freestream + v_doublet\n", "psi = psi_freestream + psi_doublet" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We are ready to do a nice visualization." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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ikUc1r2OqbGKqnMN0hbIe98Je6/e/dBV/+OUFIWmR0xK7L76dLueQN9SUq0BC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3boC1URs+kyZpnifoHFJc5nqig3RDVdY3+nB06LifL1vDZEvTYEHFtL19lsXVrM48/fncP3rifw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\nSLoE75OmbzLFYNSY5S+o9rO41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xNZReP+3YPc/UI3WUXn6mW1LKz2UR/ykDAnvonCBFjF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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot the streamlines\n", "width = 10\n", "height = (y_end - y_start) / (x_end - x_start) * width\n", "pyplot.figure(figsize=(width, height))\n", "pyplot.xlabel('x', fontsize=16)\n", "pyplot.ylabel('y', fontsize=16)\n", "pyplot.xlim(x_start, x_end)\n", "pyplot.ylim(y_start, y_end)\n", "pyplot.streamplot(X, Y, u, v, density=2, linewidth=1, arrowsize=1, arrowstyle='->')\n", "pyplot.scatter(x_doublet, y_doublet, color='#CD2305', s=80, marker='o')\n", "\n", "# calculate the cylinder radius and add the cylinder to the figure\n", "R = math.sqrt(kappa / (2 * math.pi * u_inf))\n", "circle = pyplot.Circle((0, 0), radius=R, color='#CD2305', alpha=0.5)\n", "pyplot.gca().add_patch(circle)\n", "\n", "# calculate the stagnation points and add them to the figure\n", "x_stagn1, y_stagn1 = +math.sqrt(kappa / (2 * math.pi * u_inf)), 0.0\n", "x_stagn2, y_stagn2 = -math.sqrt(kappa / (2 * math.pi * u_inf)), 0.0\n", "pyplot.scatter([x_stagn1, x_stagn2], [y_stagn1, y_stagn2],\n", " color='g', s=80, marker='o');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nice! We have cylinder flow. \n", "\n", "Now, let's add a vortex located at the origin with a positive strength $\\Gamma$. In Cartesian coordinates, the stream function and velocity components are given by:\n", "\n", "$$\\psi\\left(x,y\\right) = \\frac{\\Gamma}{4\\pi}\\ln\\left(x^2+y^2\\right)$$\n", "\n", "$$u\\left(x,y\\right) = \\frac{\\Gamma}{2\\pi}\\frac{y}{x^2+y^2} \\qquad v\\left(x,y\\right) = -\\frac{\\Gamma}{2\\pi}\\frac{x}{x^2+y^2}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Based on these equations, we define the functions get_velocity_vortex() and get_stream_function_vortex() to do ... well, what's obvious by the function names (you should always try to come up with obvious function names). Play around with the value of $\\ \\Gamma$ and recalculate the flow. See what happens." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "gamma = 4.0 # strength of the vortex\n", "x_vortex, y_vortex = 0.0, 0.0 # location of the vortex" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def get_velocity_vortex(strength, xv, yv, X, Y):\n", " \"\"\"\n", " Returns the velocity field generated by a vortex.\n", " \n", " Parameters\n", " ----------\n", " strength: float\n", " Strength of the vortex.\n", " xv: float\n", " x-coordinate of the vortex.\n", " yv: float\n", " y-coordinate of the vortex.\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", " Returns\n", " -------\n", " u: 2D Numpy array of floats\n", " x-component of the velocity vector field.\n", " v: 2D Numpy array of floats\n", " y-component of the velocity vector field.\n", " \"\"\"\n", " u = +strength / (2 * math.pi) * (Y - yv) / ((X - xv)**2 + (Y - yv)**2)\n", " v = -strength / (2 * math.pi) * (X - xv) / ((X - xv)**2 + (Y - yv)**2)\n", " \n", " return u, v\n", "\n", "def get_stream_function_vortex(strength, xv, yv, X, Y):\n", " \"\"\"\n", " Returns the stream-function generated by a vortex.\n", " \n", " Parameters\n", " ----------\n", " strength: float\n", " Strength of the vortex.\n", " xv: float\n", " x-coordinate of the vortex.\n", " yv: float\n", " y-coordinate of the vortex.\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", " Returns\n", " -------\n", " psi: 2D Numpy array of floats\n", " The stream-function.\n", " \"\"\"\n", " psi = strength / (4 * math.pi) * numpy.log((X - xv)**2 + (Y - yv)**2)\n", " \n", " return psi" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# compute the velocity field on the mesh grid\n", "u_vortex, v_vortex = get_velocity_vortex(gamma, x_vortex, y_vortex, X, Y)\n", "\n", "# compute the stream-function on the mesh grid\n", "psi_vortex = get_stream_function_vortex(gamma, x_vortex, y_vortex, X, Y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we have all the necessary ingredients (uniform flow, doublet and vortex), we apply the principle of superposition, and then we make a nice plot." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# superposition of the doublet and the vortex on the freestream flow\n", "u = u_freestream + u_doublet + u_vortex\n", "v = v_freestream + v_doublet + v_vortex\n", "psi = psi_freestream + psi_doublet + psi_vortex" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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ffX8XbbqKDL7qz+LF2KAbk1YisUTKw2i/NE6eDaw4A1wdE9sWomBdmfJ2yqR3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u+3xKGZ8fT+HU6mE6v+OSzBTKNnyNVbNWbo3KknkVPdjokIqXHpPhw2IHTkrs+dU+TatxcYbC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\nuFYncCyljJ/OZaFU63hmRDemR3jx+4VcDiWVsnPZoBZ3opqLEn9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R82itwXlFBz6p68Iy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uCy9m0s2v7nwvfWoVh8HDqwerT+ippUJueVfTHseEJ3TvKt3ErePhTHqRdHGzyH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\nh7oz2v9+gYcoilzKreX7y4VImtpYP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GRImpkS5MSDoW5MCnSmh4PtnwVfZ2Cq4Cutb7lT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\nXp0ZzLxwD7MKLX0UWxUHkyppalXz0rTA+6yxqpqV7I0vY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NbIurBWwcencoj07sd6I7FC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\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T5a2Ee7uZEjbifYnxta3ytgRm4UahWM6hYinzE/xYnupvk4puKBiNAhdrZWzLFnOkRMrE\ncC/Wjg9idqzPgJ0AQRC4XCfju4sNHCtrZX68LxsyQ8gYxGtvIBSK5Xxxro4jJVLuygxhRVqgTYVD\np1LLV+fr+fpCHeNCPHlkViRpFohC5Codn58xEZsXJ/nx6OyoAXeFgiD85PfT6A1svtjAB1nVzI71\n4akFQ0d6XQuN3sCmM3V8eqqa9RNDeHR21KB8OaNRYGt2I28eLGdDZggPzYy8qWzj5q5e/rirmObu\nXt65I81i3oogCOzOl/Da3hLWZATz+NwonK0ocM1olKl4eXcxtR1KXluZxNQBzJOHA6XN3Rwva+Vk\nRRtFTXISA9xNYqiosaQFj7bZh9KUQtFqdWf//wqdSi1nq9s5U9nO6cp2DEaBadGm4m9GtPeQyQqC\nIHClrpMPs6ook/bw0MxI1k0IHvJ31+qN/Ot0DZ+druE3c6LZMCnE5gumVm/go6xqvjxfz3OL41ib\nYbmPpblzNy7EkxeXx+PpMnSBk13fyQvbC/HzGMmfbkuySfGq1pk+c25DJ+PDxvDA9AirC5ASSTd/\nOVBKU2cvzy+OZ15C/6bySo2ef5+tZdPZOubF+fDYvCiCPQeeFki6evn4ZDX1HSrCx7rywIyIYeOU\nyVU6tueK+ex0Lb7upjSNxUn+A55vKq2eXXkSvjpfT69Wz/3TI1iS7G/T6Pla0/Xchi4WJ/mxJiPI\npusUmLrd+wul7MxrYoSDHf4eI1mWEsAUCwSVtkAQBIqaujlULOVQsZRutY75CabiLzNsDE6DnHM/\nF3w2YmxYvPDuD4eYF+9zS2b5ZpiLvH0FzZQ2dzMnzoelKf5Mj7aM02ctGjqUbM9t4sccMa5ODqzJ\nCGJlWuCgxNfWHlM01ZYrjYR7uTIlaiyrxwVaPUrU6o0cKGrmy3N1SOVq7p4cyp0TQmw6qcWdKj47\nXcuO3CYWJfrxwIwIizKNO5VatmWL+TCrivkJvjw2x3LrAr3ByPYck6VLnN8onlkYS5yVRerx0hZe\n3VtClI8bf1iaMGQMW7FEzos7izAK8KfbkqwelV8Lo1Hg20umPM5HZ0dy7+QwizcSrd1qfr+ziPoO\nJW+tsTwQ/lpo9AY+OVnDv8/Wcv/0CO6fHn5LdsviThW78iTszpOg0OhZkxFEWshoJoaNualC+f+v\naOrq5dlt+by1xrLYL0EQqOtQcbqyjVMVbVS3KYkY68pt6YHMT/Adct0pEHfx7rEqCpu6eHBGJBsy\nQ4Z8ToNMyat7SqluU/DKisQbvBmtQYmkm6e35jN21AjeuD3ZYjNwlVbPx1k1bL7cwB+XJ1iUTqEz\nmArWf52q4cGZkWycFm7T5rtRpuKNg2XkNXTx7KJYVqRab7p8prKNNw6WIULEUwtiBjSZl6t0fH2x\njs9O1bIoyY9HZkUNStVo6Vaz6UwtP1xpZG6cLw/NjLCYLzkUzAK+L8/VUd2m4K7MUNZnBg9oYWMK\nCZDxw2UxB4ulzI71Yf3EEKvNnM2QytXsyG1ia3YjggAbJoawJMXf5sJW0tXL/sJm9hQ0I5apWHQL\nJ29mVLcpONQX71ooljM7zocFCb7MiPG+YT37ueCzEbfCeNmM1m61SZ1b2ExZczdz431ZkuzP9Ohb\n0y3oUmnZV9jMjpwmatsV3D7OVOQlBgzMATSLNn643Mil2g4WJfmxbkIw40Ks3yVJ5Wp+7IvQifR2\n474pYcyL97Fpd1QskbP5ciN78iWsGx/M/0wLt2gU2Nqj5rPTtWy50siSJH9+NSPc4igno1Fgf1Ez\n7xyuwHvUCJ5dFGu1HYF5l+42woE7JgQzO/bG1IFr0a3W8U5fZujTC2K5Y3zwTXHDKlt6eH57IUZB\n4I3VKVZ19XbkNvH6/lJTCPzcKJuKtBPlrfxwuRGDUeCPyxKG3cBVpjQd47tym6huU7Ak2Z+VaYG3\nLPPSGgiCgE5vxM5OhL2daNgnBIIg8MmpGjadqeWjuzPICLXO9kih0XO4WMqO3CbyG7tYkOjH7emB\nZEZ4DXoRK2qS897xSnIaunhoRgTrM0OGpDQcK23hlT0lJAa484dlCTZfeHUGIx9nVfPvc3U8szCW\nOycMncFsRna9jOe3FxLs6cKrtyVZ9BnqO5T8YWcRrd1q3lidMqTZ9EC4VCvjtb0lONqLeHFZgtWv\nY84Lf/twihgSNQAAIABJREFUOV6uI3h6YeyA+bydSi2bztby9YV65sf78ujsqEE3mHKVjq8v1PHF\nOdO05OFZkTb/nv2hTNrNl+fq2VcgYe34IJYk+w96PTFHpn1/qRGdwcidE4NtEvCB6RzJbeziRFkr\nX1+oJ85vFKvSA1mc7D9gTNlQaOgwc+sldKq0pjUnNYAUK0aw1kIqV3OktIXDxVJyG7qYFDGGBQl+\nzI33wcttxM8Fn60Y7oLPHIp8oEiKXKUjOciDpcn+TLfAgsUWaPQGTpS1sSNXzLkqEwdhVXogM2O9\nB92h1rQp2HJFzPYcMUGezn2ijQCrc1iNRoGz1e18c6Ge89Ud/GJqOEuT/W0y7DQaBY6VtfL5mRrq\n2lU8MjuSlWmBQ2bdgqnb88nJGnbnS1iVHsivZkRY3BEQBIGTFW28dagcO5GIZxbGXrV0sRSW8nCu\n/V2354p573gVUyK9eHZhnEVB5gNBozfw4Ylqvr5Qz2/nRXNXZqjFi5H5Iufh7MiDMyIH5eIM9hqv\n7S2hqlXBH5cnMCfOd+gnWQijUSCropWs8jZ25DQxM9ab29ICmRHjPayRgWaodQZautVIutRIu3tp\nlqvpVGpp6dag0hro1elN91oDKq0BlbbvZ52BjBBPcvosW+xEYN9X/NmLRNjZiXCwExE+1g2ZUoOH\nixOjnR2vKoBHuzgy2vk/j33dRxAyxvWG3f3xshae3lrA84vjfqI8twYt3Wr25EvYkdtEh0LLHeOD\nuC09cFBOWGlzN1uuNLKvoJlHZkWyPnPwsa1aZ+Djk9V8ea6OB2ZEcP+0wRXpg6FM2s1bh8pRaw28\neluSxakVWr2RT05Ws+lsLY/Niea+KWFDdmgEwaQsfWVPMdOivPnd4lirzJbNMJ3jTbx1qIyFiX48\nYKPd1I7cJv5xtIIIbzeemh8zYNddrtKx6WwtX52vu8qXvf77fGpLPndODGZC2Bh6tQZ+uNzAv07X\nMi1qLAuTfJkVY5lgxxLIVTr2Fkj41+kaRjrac9ekUFalBw54jTFbkH1/qYHDxVJWZ5ioR7b65w10\nbbyZdaOqtYfdeRKOl7fSodCyOMmfJcl+jLPS19IayHt1ZJW3cri4hVOVbUyK8OKz+yb8XPDZguEo\n+CpbejhYZAo/lsrVpjl8kh9TIr1uSZFnNApcqpOR1ddNifEdxe3jht7FyFU6dheYPIl0eiNTosZy\nx/ggm+J5OhQatmWbxBwuTg7clRnCbYOczINBqdHzY46YTWdqcXd2ZOO0cJYk+1s0UqlqVfDxyWqO\nlrZw54QQNk4Lt9ivSRAEsira+OfRSsa6ObF6nCmP1ZpCr0et45OTNXxzsZ4NE0N4aFbkkDvJa3f/\nLw+DF9e56na+OFuHUYDXbku0mDSu1Rv59FQ1n5+p5aGZkfyPDWOsXq2BD7Oq+OZCPQ/MiGDjtOEb\n33aptGy50sg3FxrwcHbkl1PCWJDkZ9Mxdj00egOVLQqKJXKa5WqKmkz3zXI1CrUeH/cRBHg44+cx\nEn+Pkfi5j8DTdQTOTva49N2cHR1Mj0fY4+LkgLOj/dULkyAIGIwCBkHAaAS90YjRCIa+LqBKZ6BT\npUWu0tHVq6VTqaOr1+T516UyPdboDOSLu3Af6UjYWFfCvVxN92NdEIngz/vKWJjoy3OL429qzFTR\n0sORkhY2naklKdCD+6aEDhpzVdQk550jFZQ1d/PY3GjWZAQNetzUdyj5y/5SmuVqHp8XbfNmQG8w\n8uX5et4/Xsm9k8N4eFakxZOS6jYFL2wvxMXJnifnx1q0qVFo9Lx3vJItlxt5ZFYU900Js6lQUGr0\nfHuxng+zqrk93ZS2YS29Ras38sOVRrLKWgF4bG40aQMVfr06U15tfSeuIx14eGbkVYrIyYo2ntma\nz45Hp17teOoMRvYVNPPpqRo0egP3T4+wyTlhIBiNAueqO/j2Yj1nq9pZlhrA3Zmhg5q9y3t1HCyS\n8vWFOmQKLWsygliTEWyzLdm106+adiV3Z4YwI8b7pgq1ypYe9hU2c6BQSlevufjzJyPU85aNfdU6\nAzVtShIDPX4u+GyBLQWf0ShQ0CTndEUbO/OaUGkNLEz0Y1GSH+NDPW8ZwbNY0s2uvCb2FjTj4ezI\nnRNDmBvnzenKDlxH2OPnPhJ/D2d83EdcPVlVGj2nq9rYlSfhdEU7M2K8WZ0RaHPQdK/WwHPbCzhe\n1sqCBD/umhRCevDQUXD9QdypYssVMV+fryMz3IuN08MZbwHh1mwP8MnJGnIbZDwwI5L1E0IsVg6b\nM1n/ebSSXp2B38yNZkmSv1UnvkZvYPPlBv51qpaJ4WN4ekHskB3Fhg4VfzlQSoFYzu8Wx7HcRlWg\nGVK5mj/tKyG3oYuXlicwP8HX4te7VCvjhR2FhIxx4ZUVAysrB4IgCBwqlvLa3lLGhXrywpK4YYsV\nKhTL+ep8HYeKpcyL9+WeyaGk2XiMgWmjU9LcTbFETklzNyWSbmrblYR5uZIQ4E5KkAeBo53x7yvw\nvFyd+j0WetQ6CsVyJtvg/m8rjEYBabeaunYlNe1K6tqV1HUoqWlT0CDrRRAEnJ0cro7BYnxH2Xyx\nUesM7C0wcW/lvTrumRTKHeODBzyvsus7eedIOeLOXp6YF82K1MBB3/tEeSuv7SkhxMuFF5cl2Jwt\n2yzv5eXdxVS0KPjzbUlMuU4MZDAKKLX6GzZeRqPAnnwJr+0rZUGiL88siLWoq17TpuDVvSU0yFS8\ntDzRZtV8W4+G945Xsidfwv9MDWfj9HCr1P5g+o62XGnko6xqYnxH8fi86AG9+RQaPZsvNfDZ6Vqi\nfd14eFYkkyO8+PxMLdtzmtj28OSfvL8gCJyv6eCz07UUiOXcPSmEeyaFDoulixkt3Wo2X2pk8+UG\nwse6sio9cFA7MDDRZLZmN7IrT0Ks7yjumBDEokR/m1S5YFqH9xVI+DG3iV6tgeWpAaxIDSDef5TN\n53VVq4IDhc3sK2xGrtKyINGP+Ql+ZEaMuSWq/p9HujbC0oJPozdwvrqDIyUm2xZ3Z0cWJPgwP8GP\n1Fs4y69uU7A7z8Qf0BmNrEwNZEVawFVultEo8I+jFdS0K5H2dShae9R9J5CAvFePz6gR/GZuNMtT\nAqy2U7keZl+2+Qm+NvnCmQ2XvzhXx6U6GRunhbMy1TJDaYNR4EiJlE9O1SBTarl/egRrxgVZfOKb\nFZf/PFaJVm/kN3OjWZToZ9V3pzcY2Z7bxD+PVhLj68azi+KGVB139+r4MKuazZcbuH9aOPdPt86o\n9Xpo9UY2na3lk5PV3JVpCoa39G/QodDw0clq9hU088dlCVZ3NMHU4Xltbwkezg78cmrEkNm/lkBv\nMHKw2CRqKhDL2ZAZwp0Tgm/6YtOl0jL1jePE+buT4O9OYoA7CQHuxPiOsvo7kHT1svFL01rx2Jwo\nq4+dm4HeYKSwSc6lWhkXa2VcqZMx1m0EsX6j6NHosBfZ0SBT0a7QkB7iSUaIJ+PDPEkLHm21gMXM\ng/rqXB3Hy1pZkuzPL6eGD0jTOFfdzlsHy/ByG8majCAWJg688dDqjXx5ro4Ps6pYOz6Yx24iW/Zo\nSQsv7S5mSqQXzyz6z9g1t8/zb99vpvd7XshVOv5+tII9+RJ+Oz+G9RNDLBrzHi9r5a8Hyoj1MxVa\nQ01GGjpUBIweecPG+vp0n3UTgnGysiuu0RvYekXMR1nVRHi78vjcaMaH9c/x0+gN7MqV8PHJakY5\nO/LwzAiOlLTQqzPwwYZx/X5XVa09fH6mlv2FUu6dFMqy1IBhzdXV90WSfX2+niv1nSxN8Wf9EIb/\nGr2BY6WtbLnSSKFYzuJkv6v8XVsKNbPf7u580/XVxcmeFakBrEgLuClz5No2JQeLTRO/+g4lc+J8\nWJTox4yY4RNo/lzw2YjBCj65SkdWRSuHS1o4VdFGjO8oFiT4Mj/Bd1Cuy82ioUPFvsJmSprlXKiR\nsSzFnxWpAUN2ORplKnb3xch0KLVodAZeXpHIugkht+yzWgqFRs+OHDFfnq/HTgT3Tg5jVXqgRRcj\nlVbP9pwmPjtdw2gXJx6cEcGCRD+LOxkGo8DBIinfXKhHqdXzyKxIFiRYd7G+Kug4UoG32wieWRg7\n4AJrhkZv4JsLDfz7bC0zYrx5fG60VR50/eF0ZRsv7y4meIwLLy1PJHwI9a8ZeoORry/U897xKu7O\nDOGBGRFWX2jbejS8fbico6Wt/HZ+NHdOGPpCORRUWj1bLjfy+dlafEeN5KGZEcyOG974JqNRGLbC\nTBAEjpW28t7xSlRaA7+eE8WylIBbHjf19YV6vr1QT2b4GDIjvJgQNqZf6kKHQkN2fefVm95oxMnB\nnvnxvsxL8LX4eDGjrUfDzjwxn56qJTHAnV/NiPhJzJ0ZRqORk5XtvHWwHEd7EU8vjGVa1MA82NYe\nNW8dLOdkRRt/WBrPUhv/hkqNnq/O1fHp6RoenW0auzra2/H45lw8XZx4eUXigM8tkXTz8u5iVDo9\nr6xIskgEo9bp+fp8Ax+drGZxkh9PzIsZkELyzNZ8shs6eWp+LIuTblxvCsVyPj5ZTUlzN4/MimRV\neqDVUxet3sj2HDEfZFUxIWwMt6UFDsg/NhgFDhdL+TCrmgCPkZQ0d7MqPZAnF8QO+PrtCg1br4j5\n99laIr3d+MXUsGGPV5PK1Wy90sgPVxpxH+nInRODh+RuN3f1sitfwo/ZYjR6I7ePC+T29KB+GweC\nIPDKnhKemBc9YJPCnOqxO0/CyYo2Rrs4sTjJjyXJ/jclPJN09XK4WMqh4haKmuRMjxnLwkQ/Zsf6\n4G4BN30g/Fzw2YjrC766diXHylo5VtpCbbuSeH93FiT4Mjfed9gD2a9Fo0zF/r6WcFNnL4uS/Fia\n4k9m+OAKuk6llr19qsWadiVLkv2I8nbjveNVbPrFhAEJvvUdymGJeBkKlS09fHepge05TUyO8OK+\nKWEWS++b5b18fb6ezZcamBvvy9rxwUwIs3w3p9Eb2JHTxCenahjt4sgjs6IsThEwQxAEssrbePOQ\n6UL2zBAXMjAtrDtzm3jnSIXJ1mVRLHF+tpkWm1HTpuD1/WWIELhjQgjz4vv36OoP56rbeWV3CV5u\npgugtTmSGr2Bf5+t45OT1azJCOLXc6ItEtIMhrYeDV+dr+Pbiw1MDBvDAzMirFad/m9CbzAi7zXz\n7HR0qTRcrJVxuLgFea8OT1cnbksLwN7ODoNRwCgIGAVTsWkUBEY62uPkYIfbCAfcRjjgOsIB1xH2\nVx9f++/DiV6tnvM1HRwpMa1p7s6OzIv3ZX6CD2nBlnON1DoDO3Kb+NepGtxGOvCrGREsSvS7oUC5\nVunu427aGA2mdM9v7OJP+0pQagz8YVk8UyJt82qsajWNXZs6TWPX1KDRLPrnKf62NnVQ/0ez5+TO\n3CbcnR15dlGcRWreTqWW909UsT1HzMZp4WycdqPvnjkO8M1DJouVgcRgF2s6eOdIBS3dJo7jUKPx\n/qAzGNmV18QnJ2sY4WjHwzOjWJRk2hTLVTq2Zjei0Ojp1RpQavXUd6jIa+yiR61nfoIPf7k9ZVBT\nZrPV1hfn6mjt1nDv5FDWTQi+qfSf62Hm+m2+3MDJijbWjQ9mdpwPkyO8BlyzzV52P+aI2ZMvIcLb\nldvHmZTB165Rr+8v5Xx1B99szBxyyqXTG7hU18neAgmHilsIHuPCsmT/m7J5AdNm7FhpK2er2zlW\n2kp6yGjT6Dfe16ocdvi54LMZGePHCx9tPcyx0haOlrbQrdYzJ9aHufE+TIseazXHwhqIO1UcKJSy\nt7CZRpmKhYl+LEvxJzN88GQPpUbP0dIWsus7b1AtljR3s/GLy7y/YdwNo7YOhcYUJJ3bhFSu5sDj\n04eVn2GGRm/gUHEL316op6ZdycapYSxPC7T4ZMlp6OTfZ+s4VdHGqvRA7psSZlVnQqnR830fdyXG\nbxSPzIokM9w6fydzJ+fd45WMdRvBugnBLBiCI2fmBr55sBwXJ3ueWxw/oJWCpehUavnnsUp25TXx\n0MxI7psSZvFYoKmrl9f3lZLX2MWLy+JZmGjd+FYQBPYXStlypRFHezt+vzTe6g7R9ahtV7L5UgPf\nX2pgeWoA90+PuOnXvFkYjAKSrl7qO1TUy5TUd6ioa1ciYFKmylU6VDoDHs4mFa1Hn5rWwc6OBpmS\nug4VLk72rBoXyEgHe+z6FLl2IrATmVS6eoMRhUaPQmNAqdGj1Oj7fjY/NhDt60aJpJuA0c4Ejh5J\nwGjnq7fAvpv3qBE2d1eMRoHCJjlHSkxrXVuPhuWp/syO82WqheayRqPA0dIWPj1VQ0uPmvunR3BH\nRvANxc61Xpbjwzz51YyIAbN6zcfZGwdLifV154UlcTZNUMzn7Kt7S4j1G8XCBF/+frSSA09MH1JI\npdTo+eRkNV9dqB8y5uxa1HcoefNQOTn1nTy3KI6lKf79FsEHikwWK77uI3l2UWy/Nijnqtt553AF\nnSotj8+LYVmydbxi83sdK2vlw6wqOpVaHpwZybRoL74538AIBzucnUxCI4DGThUezo7Utis5WtLC\n4iR/7p8ePqQ3X35jF1+eq+NoaQt3TwplaYq/xTnMlkKm1LIrr4ktV8R09+pYPS6Q1RlBgzYpdAYj\nJ8vb2J4rpketx9XJgdvSA5gV68MIBzte3VtCTn0nX9+fabFFi85g5Hx1B/sKmjlcIiVsrCsrUgNY\nkOh3U8WfUqPnVEUbh0taOFHeSugYF+Yn+DI/wc+i0IefCz4b4RIYI8x69nPmxfswN96X5ECPW8rL\nqW1XcqComYNFUuS9OiZFeLEsxZ9JEV6DkjvVOgNZ5W3sKZBwqryNjDBPbk8PZHacz9WFqaKlhw3/\nusgbtyczL8H36vOOlbayPUfMpToZ8+J9WZUeaLPUfTDUdyj57lIDP2aLifUbxV2ZocyL97VI2abV\nGTjYpxTsUGq4b3IYd0wItso7qa1Hw9fn69iVLyEpwIOHZ0VabWAsCAKHS1p491glRgEenxtl0fj3\nQk0H27LF5Dd28eyiOKs6cLvymrhUKzMVAlrD1WKgvkN1lTz/xLxoi4tzhUbPpyeryWvsYlyoJw/O\niLSa4JxdL+PP+0pR64z8YVkcUyJtN9AFk6/iR1nVnKvu4MEZEazOCBq2mCdLYTAKVLb2kNfQRW27\nkoqWHuo7VIi7ehnr6kSolyuhXi5X7wNHj2SM6wg8XBxxc3K4egw0ylS8e6ySY2Wt/HJKGL+cFj4s\nymFBEOhU6ZB09dLU1Yvk6k199ecwL1e61ToSAtxJDPAgwd/ESbSl49ooM5ky/3C5EYlczcrUAFaN\nCyTB37Ls7ux6GdtzmjhULOWXU8O5e1LoDZ/D3GV/+0gFE8PH8OT8mAHFGmqdgS/P1fHxyWpWpgXy\n+Nxom6yK1DoDn5+pZV+BBJFIRKS3G++uT7fouc3yXv52qIJTlW08MS+adeODLSqEs+s7+Siritp2\nJU8OMMLVG4xsyxazu48v9vjcmBvUwoIgcKaqnbcPV+DvYcpctYUyIAgCl2plfHSymhKJnAdnRrFm\n3H8iMeUqHUvePc3vFsexIjWADoWGby408PWFehNtKdF3yOjLth4Nu/Ka2HSmFl+PkdydaSr+httj\ntlgiN/3d8iREeruxps/bb7BzTq7ScaComV15Ekqau1mY6MvK1AAOFrdQJJHz1f9MtJrSojMYOVvV\nzoXqDn640kiIlyuLk/xYnOR3U9MyncHI5VoZh/v0Aa4j7JkR7c28BN8BRaA/F3w2IjV9nJCfm3PL\nXl8Q/j/23js6zvu88/2ggwDRy6D3DpAESADsYCfFJpGqlCirF0tuSexskrN7d8/N5t5NNokdO5Jt\n2WpWozopsffewIJC9F5mMBUYTO/z3j/eGZgiAcwA5G6u9/h7zhwQ4BRg5n1/7/N7nm8R6FYZOXRL\nLPJGTXY2lUvYXOG7k+fwEFv3N41wok1JeVoM2xeIIc+Tyfo3/PwsP1xbwPb5aRO2LXvqh6lIj+bh\nqgw23SdLi9thd7o526Xmg8sDtI7oeWRhOk/WZvm9Q1forOypH+KL68OUpkbzeE3mjDki3UoDb5/v\n53CLXOwarcgjN2lmJ6DbLapOf3Wqh8AA+Mm6QtaXSnwWetcHxvj58S5k4/4pFSfD+W41A6NmIkOD\niAwNomVEz/E2kVKwsyqdf3xkvl/P43S5+eKGlF8c72J5QSI/21Q8411ov8bEPx3uoFk6zs82FbOj\nMv2eNkD1/WP8+kwP7XI9L60QTXvv9zE4GQRBYERnpWl4nEbPrVWmQxIdzoLMWCozY0iPjSAnMYKM\nuAi/LlJWh4u/P9DGoVtynlmSzYsr8+55tD1TWO1OulRGWkdEtXHriI4OhYGEuaEeUUoMVZmxzM+M\nndHv1qMysq9Bxt4GGXPDgtm5MJ2HKtP8Ul53Kw385mwvpzpUPFmbxQvL77ZGMtudvHdxgHcu9LO2\nJJmfrJs6+WbUaOOXJ7vp15hYlp/I88t9d7WlWjMPvXGR4KCACYuc4KAAZFoLoyY7G0uTefPpRX4r\nJltkOv7hYBvjZgd/vamYtSW+N3CCIHCuW8M/H+1AEOBnm4pZPUlKhtXh4rNrotK2Ij2Gv1hfeNfG\n1DsO/vdT3agNNl5bnc/OqoxZ2cK0jej4/fl+TnWo2FmVzvPLc8hOiKRdrufpt6/yu2eqJ+gUVoeL\nw7fkvH2hH7PdxfeWZPNodca0G2+vef9HVwa5JdPxcFU6u5dk3/fOvd3p5nSnii+uS9EYbeQkRLBz\nYYbP7rRcZ2F/0wjfNI6gNlhJiAyDAPj81aWzFgw5XG6u9o1xqEXOsVYlSVFhE8XfvaSXiEISPcc8\nXXiZ1sKa4mQ23JG48eeCb5b4X5G0IQgCzVIdpzqV7G+SY7W72OQhgC7Mmp43491FHL6loG1ET0hw\nANsXpLF1Xuq00W/e/NsT7Sr2N40QGxHKkzWZbCiX3De7jNvRozLw2bVh9jbIKEmJ5hGPD6A/F05B\nELjSN8aHVwa40K3hwco0vrckZ0oV2J76If7bN62EhwSKi3loEHNCgjDbnch1ViJDg3jO02GYqb+V\nw+Vmf9MIH14eJCQogFdX5fu1uN8c0vKL4130a0z8eG0hOxem37P8/kK3hn860oGAQEVaDENjZj56\ncbHPgsvrJ/g/DrUTFxHKf9laNmPzZI3Ryr+f7OHbphFersvjheW5s96p336xUhlsvFqXz8ML75+v\n11QY0Jg426WmX2PiQLMcEKjMjGVBRiwLMmOZnxEzK86RzenimXfq2VAmwexw8r3FOfdkkn2/4XIL\nDI6axCJQrkdjsHHolpwCSRTL8hNYlp9AdXa8X11et1tcR/Y2yDjcomDLvFRWFCSyocx3p354zMzv\nz/fxTeMID1WmTWo0rLM4ePt8Hx9eGWT7/DR+sCaflCnWp161kX8+0kmzdJy/2FDEIwszpl079VYH\nJtvdptinO1Q0S3XorA4xo9bP7rvXkP3/OdhOjIff5w9FQxBEkdi/Hu8iLiKEv9509+P+9qtmdlSl\n0yHX85uzvcxLj5208HO63Pzj4Q46FHr6NWZeqcvzK9t4Mih0Vv5weYBP64dYnJvASytz0Vsc/O3X\nt/jqtWXf+azE6DMt718a4Hy3hocq03hmaY7PWMuhUTMf1w/y5XUpS/Li2To/ze8pz0yg8dCT9jXI\nkOusPLggjR1Vd6dKme1OBjRmhsZMDI2ZaZbqaBoeZ1hrITAANlek8qN1BRRLZm/J4nILXB8Y43CL\ngiMtCspSoylNi2JjWQrzM2LuycJpZNzCyXYlx9qUNAyNU50Tx+aKFHbVZv+54JsN7lfB5634j7Up\nONYqtmU3lqfwQLmE+RnTq2vtTjcXezUcapZzol1JTmIkW+elsnmeb5Jov8bEt40jfNskw+6627Zl\nKvSojMTMCZmREMVkc3KwWc6n14aQai08uiiDx6szfebEeqG3ONjXKOPDy4MIwDNLRed1X7ssQRCw\nOd1YHS4x4LpZzrfNI/SpzSTODeXEX9URETazndrtLvPZCRG8tjrfpxgDoHF4nF+e6KJTYeCHa0XT\n2XtdzJql4/zTkQ5Gxq38dGMR+Ylz2f3OVb794XIy4qZXiLXIdPzrsU4GR8383Rb/L2ZeGG1O3j7f\nx/uXBnhmSTbPLsuZNa/Tq4Z+83QPKTFh7KjKYEvF3cT++wWjzcnl3lHOdqk416XB6nBRV5TE2uJk\n5meK3nr3yy/vat8ob57ppUth4KWVuTxZm/X/67xem9NFw9A4l3pHudyroW1ET0V6DMvyE1man0BV\nVqzPDYrV4eJ4m5KPrgzSqzbxWHUGT9Zk+bRQUhtsvHuxn7YRPQlzQ3l9dcFdhcKo0cZvzvRwulPN\nmuJkvr86f8oR/41BLf94uB29xcnfbC5mTfHMjnH446bo/z3YTnxkKP95a6nfhue3i7CKJHP52aZi\nvzhr3sftbxrB6Rb4yfpCajzK/hNtSv6vb1r49ocriAoP5tN6Ufm7qTyFhxdmTJgqu90Cj/z2EmuL\nk6krSuKN0z00Do/zo7UF7KhKn1VcmMnm5MsbUt692E9sRChFyXNpGB7n69eXTfp8Cp2VT64O8kn9\nMGtKklhfKmFdyfSRmTani1PtKv5weYAelRjz+Xh1pl856DPF7d3pyLAgdlZl8NCCVNLiItj564uY\nbE6y4kWaRlZ8BFkJEWTGzeHmoJbrg1ou9owyJzSIbfNT2TY/7Z5+Ry9P9kirgqOtCsw2FxvLJWy8\nD558equDc11qBjQmfrSu6M8F32xwLwWf0ebgfJdmgniZkxA58eH6OmhsTheXekY5eEss8vISI9ky\nT3Tq9mXgKxu3cKhZTuOwlqv9Y2ybL3oH+TJAVhms7G+Ss69BhlJv5eePV7Ki0D9V3LsX+vm3E10s\nzkvgiepMVhf7Z9zs7XbuqR+iYVhLbuJcnlmaPam1w3RQ6q18fEVcdEpTo8hLjORy7yhf/2D5jEaE\nOrMWHIHIAAAgAElEQVSDP1we4IPLAyzKjuO11QVTOtbf/jdc7R/jjVM99KmN/Hid2NG710SJHpWB\nnx/v4saglp+sK+Kx6gwAdv76Ik8vzmZX7dR2Ov0aEz8/3sWVvlH+emPxjDuMNqeLj68M8eszvaws\nTOQv1xfN2sVeVAiO8JszPcwND+FHawpYN8PC01/0qIyc7VJxvE3JLamOyqxY6gqTqCtKoiRl9rt0\nf9EiE7mIV/pGeWZpDs8szSIqPASHS8DhduN0CThcbs9NIACBsBCxIx0eEkRYcOD/NtPm22GyObk2\nMMbl3lEGNCauDoyxtiSZTeUp1BUm+ez+9aiM7KkfYm+DjPK0aHYvzmZdafK0x5zO4uCDS2Jm6+K8\neF5fXXBXB0upt/LmabGz/GRtFq+szJu0eyoIAifaVfzTkQ7yEiN5dVXejHOuwSsmkfKLE90syIjl\nZ5uK/E4asjld7Lk6xBune1mWn8BfbSj6zma3bUTPPxxs4/3na7+zCXR4XvON0z1kxkXwk3WFLM5L\n4F+PdVLfP8bHLy0mOCgQq8PFVzel/Pp0LzmJEfxgdQFL8xNQG2w8+MZF/vuOCjaUSehQ6HnvwgBH\n2xQ8UZ3J88tz/VZ5CoKAxeHCYHWiNdk53aliX6OMbqWR6DkhHPuLuiknSTani+OtSt67NIBMa2FX\nbSa7arJ8vna/xsSn14b46oaMvMRInqjJZMu82RsnTwW3WzTk39sgpU9tQhBge6U4HZtu8uN2i76T\n+5tGOHRLTkJkKDuq0tlYnnLPY+kelZGjrQqOtSkZHDWxpjiZzRUpLC9IvKcN459HurPETAs+uc7C\niXYVJ9qUNA5rqc6OZ3VJsl/SapPNyZlONUdaFZzpVFEiiWLrglQ2lqX4LPIUOiuHbsk50DxCv8bE\nxrIUts9PZYkP/oLJ5uRYm4K9DSM0DmnZUJbCzqp0luZPb/dyJ7qVBmLmhEw7Vr4dBquDbxpH2FM/\nhN7qYFdNFo8tyvD78fBHA9j3Lw5wtks9MVZQG2z8aE8DX7221G+y7PCYmfcv9nO8XUVtbjzfX5Xn\nc6H3dgXePNXDqMnOa6vy2VGVfs8dvT61kX8/1cP1gTF2L87i2WW5E4vfr052iyrl52omLQwUOiu/\nPNnNkRY5L67I5fnluTNaOFxuga9vSvm3E92UpETxs03FPo2jp4LV7uTLmzJ+e7aXjLg5/HBNIcsL\n7n8KRY/KwMFmBYduyRm32HmiOpPKrFiW5CXcdxW90eZEOmZGabAxZrIxarQzZhJvo96vRhsCAoOj\nFkDMzA0JCvTcAggOCiQ0KJDgoAByEyLpUBiwOMQxo8PtZk6IGM0W7ikEiyRRWBwuJNFhSKLDPbcw\nkqPEf0+V/HEvuNMfbFlBApvKU1hXIpnWtsLqcHG4Rc4nV4cICQqkJiee3Yuzpj2vvar535/voyw1\nmh+uLbirWJONW3jjVA+HW6bnRzpdbg7ekvM/j3RSnBLFTzcWzUoharG7+ODyAL8718eakmT+Yn2h\nz2767X/Puxf6OdutJi8xkh+uKSQrIQJBEHjlwxukxoTz9w9V3PU4h8vN3gYZb57uITUmnB+tKeR3\n5/soTJ7Lf9lWNnE/u1O0WPnN2V6iw0P4wZoCEiJDefmD63z6ypIJjphUa+bdCwN8dVPK+lIJr9Tl\n+TRHfvt8H/9yrJPo8BCiwoOJCg8hek4IFruTPrUJm8PJhvJUnluWM6WlF4jq9Y+vDrK/Sc6SvHh2\nL85mRUHitMepw+XmZLuST68N0zg8LhZ+Fan3PPacDDani3NdGr5tGuFMp4pF2XET6trpGgTe8ezB\nW3IOtyhIiAydaMTca3dSobNyvE1Bu1zPt01yanLiWF8mYX2pZMb+rH8u+GYJXwWfN9LseJuSkx1K\npB4S5fpSCXVFiT7HkeNmOyfaVRxpUXClb5SF2XE8UJ7ChjLfvn4qg5UjLQoONMnpVBpYXyph2wKR\nUzPdztrudHO+W82VvlE+vTYsGnJWpbOhVHLfd1W3QxAEmqTj7Lk6zOEWOcsLEnmyNsvnQnAnrA4X\nB2/J+eDSAFqzg2eX5fCYhzg8PGZm568v8ctdldP6a3nRMKTl7fP9XOzV8Hh1Js8ty/FZXLvdAsfa\nFLxxugeHU+AHawvYOi/1nlXNAxoTvzrVzekOFc8vz+X55Tl3HT9vn+9j2/y0uzYPWpON357t47Pr\nwzxRk8lrq/JnxEfzWkPsbxph1GTjbx4o8WkcPRVMNiefXBW7PSkx4fxgTf6sui3ToUtp4GCznEO3\n5BisTjbPS2GrhwN7r8WP1eFicNRMv8ZIv0a0YOnXmOgfNWG0OllbkozO4iA+MpT4yFASIkNJmBtG\nfGQoSoOVthEdR1qUPLgglR+sLiBlBsIYp8uN1enGYndhdbg8fDMnGqMdpcGKUmdFqbehNFhR6Kyo\nDDYMVgcZcXNIjgqnUDKXIkkUhclRFErm3hels9Zk50S7kqOtSq70jbKmJIkVBYk8UJE6rfCjU6Hn\ng8uD7G8aYXVxMs8uy2Fh1tRTBm8H67dne1mWn8i2+al30Si8CugetZHVRck8vyJn0jGjt9v25ple\nn+rf6aC3Ovj9OZFTuKMynR+uLfD7PdWZHbxzoc+jbE3hh2sLiIkI4aE3LvLjdQXsrMqY9HFOl5t9\njSO8cUrsMl7qHeW/bi9l+4L079zPa5T85pke7E43tbnxnO/W8O0PVnynKB832/n46hDvXRxgXno0\n31+VT+0Mbahuf67Prw/zh0uDJEWF8fLKXNaVSqbkDBptTr5plPHRlSGCA2HLvFQeWZQxkXoyFaRa\nM1/flPHVTSlhwYE8uiiDHVXpPh/nxS9PdNOp1PNQZTqri5OmnbaY7U6OtynZ3zTC1b4xVhYlegyq\np+9su9wij/HQLTmHW8Q4U2/xN1Mv0zvhHc+eaFNypktNVnwE60vF4s+fiLc/F3yzxGQFn8Xu4lKv\nhku9Gg7dUhAWHMgGj/myP1m5snELx1sVnOxQ0aU0UJkZywMVKawtkfhUzil0Vo60yDnUoqBHaWBN\nSTIPVKRSV5Q47UHtcgtc6Rtlf9MIR1oVFCbPZWdVOpvKU/6XeO3djlGjjX2NI3xxfZis+Agqs2J5\n1I+T/k4MaEx8fHWQr27KmJcew3PLc6grTJootNxugS2/Os8TNeIYYyp4I9jePt+PXGflhRW5PF6d\n4bM4tzpc7GuQ8bvzfVSkxbBtfqpfSl1fGBo18++nujnRruSZpTm8sCLXbwWlzuLgnQv9XOhWU5Ia\nzY/XFs7IpFMQBI63KfnFiW5CggL4i/WFs+JAgXgxeP/SAB9cHmRpfgKvr86/r/5bI+MW9jbIaJHp\naBweZ3NFKlvnp1CVOfsiz5t/2+Qha7sEN2e7NGTGzSE3MZLcxEhyPF9zEyORRIVP+lpey5BfnOhC\nEET+6Y/WFc6KQzVT2JwuVHobg6NmupQGulVGupUGupQGgoMCKUwWi8AiSRTl6WJ83GzpBma7k4s9\nGr66IeNij4YVhYnsqJr+oqqzOPji+jAfXhkkKjyYZ5fmsH1B2pRFgtPlZn/zCG+e7iUyNIjX1xSw\n4Y7zrE9t5I3TPZzpVPPM0myeXz75OWO2O3n/0gBvnxfVv3+xrpCMWSQjqA023jzdw4DGREmqmCji\nrwBs3GznnQv9fHhlkM0VKWwqT+GvPm/i45cWf6d77j2+7U5x5G93uulWGbnaN4rV6eZnG4t4bXUB\nQYEBOFxuVAabZ2MgclX3N8lpk+uJmRPCqZ/WERPx3XXd6nDx9U0pe+qHcboFXliew4OVabM6Flxu\ngRNtCr68KePmoJZHF2XwZG3WlHxtL3Xn46uDHGlRsDQ/gV01WdQVJU27Ufbax3x5Q8rRVgU1OfE8\nVp3B2pLphR7jZjuHbik842gDD1SksqMyjZqc+GnXinGzncMtYoRjk3ScNcXJbJ2fyiofsWfi2FfL\noVsKbg5qGbc4eMDzWS+4xw6lw+UWBZdtKo63K8hJiCQvMZJ1pRIW58VP+vn9ueCbJbwFn1Rr5nSH\nilMdKq4NaClPi2ZtSTLrSpLJT57eCFEQBNrkYhfwWKsSuc7C2hIxgm1lYQKRPgQFUq2ZIy3iyKpP\nY2JdiYQt88Q5/3QHoRgHI3IPDt6SkxIdzvYFIvHUVxerT21Ea3bMOt3A6XJzvlvD59eHudCjYYMn\nCWNx7vQn3GTPc7JDxUdXBmkb0fNodQa7a7Mn5ZM5XW6OtymnzH81WMULzxc3pIQGB/HyytxJ0wDu\nhM7s4KOrg7x/aYCKtGheqcv3Ow1kOvSpjfzmTC+DoyaW5CXw4oo8v7OM9VYH717o54PLg6wvTZ4Y\nG/kLb0LIz4934XQL/NWGohkLOrxQ6a28c6Gfz64Ps7FMwvdX5d+3aEGTzcmRFgVfN0hpHdGzZV4q\nD1emszB75kWezeGiQ2GgWTpO47COJuk4I+MWylKjWZApKnUr0qLJio+YsZBkyy/PkxUfwU83FhEQ\nEMCbp3s42+UpRpbl3nNG9WwgCAJqg40upZFulYHhMQtX+kYZGDVRnhbNwuw4qrPjWZQdN2P1Oojn\nxaEWkfPbpTSweV4qOzzZpZN9Nm63wJkuFe9fGkRtsLK2JJnvLcmZcoPi7aS/eboXm9PF66sL2HaH\ncXG/xsQbp3o41TH9ZklncfD2uV4OtSipzY3nB2vy/R7R3g7ZuIVfn+7h4C35tJzCyaA1iYXfvgYZ\nmfFzGBqzcOgnKyd+38FRE59dG54Y/XtpAMGBcKlvFJnWisHq4NVV+Thcbn57ppdwD/czPCSQOaFB\nGK1OetUmAgMEnqzN5rnlOXe5MLjdAud7NLx7oZ82uZ7di7PYvTh71klRAxoTe+qH+PKGlDIPf3N9\n6dSiDYPVwYFmOZ9eG0alt/JYdSaPV2f4/DxMNieHbsn58oaUkMBA8pMj2VGV7jNSVDZu4dvGEb5p\nlGGwOtm+II0dlWL273SP0xhtHPEUf60jOtaWJLN1fhorC31fd5ulOo568nItdhcbyyRsKk+h1ofV\nmi8IgkC30sDxdjEZp1tlZEVBIutKJawpTppo3vy54JslMooqhPLXfo3aaGN1URJrSpKpK0zyuYDb\nnW6uDYiRRcfblAQFBnicsv3rAvaojBzzdAFFTp6EBypSWJafOO3ORhyb6jjYPMLZLg0BAbClIpXt\nC1J9XoSVeuuEH5FCb+X11fnTdsomg9Xh4lcnu/nqppTUmDk8Xp3JtgWpM+50yHUWDjbLeedCP2mx\nc3h6SRabK2Zn2tmrNvLBpQH2NY6wojCRF5fnUjXNaMkL2biFd87389VNKetKk3mlLu+eI9BAJG+/\neaaHy72jPLM0m2eXZhMXefdi+z8OtbOvUYb3FBQQF2ujzYnd6eaRRRn8aG3BjEw9RUsUNW+e7mXM\nZOcvNxTxQPnMcoO98NpsnO5Qsa5Uwst1effkLu+F29ON/vKmlONtSmpy4nlkYQbrSpNn9Pm73QLt\nCj0XezRc6Bll3GzH7nRP2LAsyIyhSBJ1z3Y5IHaSwoKD0Fsc6Dy3ToWBrxqk3JLqyEuKZHVRIulx\nkQgCuAUBQRAmPtOI0CAICPhOhFpUePB3otXulxG6weqgaVjH9cExbgxqaRwaJykqjEXZcawoTKQ6\nJ37Gn6Ns3MI3jTL2NcjIToikIi2Gx6ozptxY9qmN/MFzTq4uTuL55blTiqO8Nj5vnO5BrrPwk7WF\nbLujQzigMfHG6R5Otit5fU0+jy2aPNZLa7Lz9oU+Pr46xOaK1FkXflKtmV+f6eXQLTm7F2fx0oqp\nC793L/TTozbidLlxugXMNic9ahM9KiPR4cF8/v2lfq0r3m7Xr8/00qHQ86M1hTxYlTbp2jo8Zua9\niyJ/b11JMi+vzKM07e7X6FEZeO/iAAea5Wwok/DC8hzKZtmV9/I3P7oyhExr4cUVuT7jxtrlej67\nNiwaND9XM2nCyGQYGjWxr3GEvQ0yAoAdVensrEr3mWvbodCz96aMM51qXILA9vlpbFuQ6nPcrzJY\nOdqi4ECzHLnOysKsWDbP8935A/E9Ptqq5GirguExM1s8j/M1MvYHGqON0x0qMZKtR0NRShRb56fy\n4oq8P+2CLyAgIB74DMgBBoDHBUHQ3nGfNcAvbvtRCbBLEIR9AQEB7wOrAJ3n/54TBKHR1+tmFlUI\n+46fpzIz1ueCqzXZOdOl4kS7ivNdanKT5rK5QgxCviUdJywkiILkueQmRt51kNy+KzjaqsBoc7Kx\nTPTmq8mZvkD0FnmHbsk52CwnLDiQrfNFLoEvZaLO4uCIx3G8dUTPxjIJO6rSWZI3M9HG7b/LG6d6\n2FSRMmMeg8Pl5lSHik/rh7g5NM7OyjQer8mibJKFyhdu7ya0ynQ8WZvF7iVZfnkONgxpeffiAGMm\nG2Wp0Ty/PNdnR9QfNAxpefN0D01SHS+tyGX3kuxpCcJmuxOdxUEAAegtDr68McyhFgWjRju7ajP5\nb9unDn6/E96O3i9PdmO0OfnZxiI2lKXM6jPuUOj57ZleznapeWpxFs8vyyXxPuRIy3UWPr8m5Xib\nAgHYWZXOQ5XpM+o8SLXmiQLvUo+GmDkhLC9IZHmBaDcyGyNkt1tAbbQh1ZqRai0Mj4lfAdG/zeJA\nb3FgsjuZGxZMTEQIMXNCiA4Pxmx30aU04nILzEuPJj8pisBACAgIIAAxWi0wAGIjQpFqLd+JVJuI\nVbM6MdmdE8dgWswcUmPDSY0RI9ZSPd+nxcwhNiJkxl1al1ugS2ngxqCWPrWRvQ0yEueGsaooiVXF\nSdTkxPtdaHuzSz+/Psz+5hHmZ8TyRHUm68uSJx09ece9710cQBIdxgsrpu+6XxsY462zvTRJdbyw\nPJenl2R9h4oxOGri/UsD7G2Qsasmi5dW5k7KuRsz2Xn7fB+f1A+xZV4qr6+efeH35ukeDrcoRDue\nmqy7KDLH25Qo9FZCAsUYvZCgQIICAzBaHVwf1HKuW8OCjBh+sKbA74KnRabj/Uv9nGhX8ejCDJ5f\nkTtpYaUzO9hTP8iea8OkRIfz/PJcNpTdbVw/brazp36YQ7fkhAYH8szSbDZXpM5agNYu13OwWc5H\nVwepzIxlV00m60olU26urA7XxPsyEwiCQOPwOHsbZBxolpOfJHb9tsxLJW4aDvPt069Dt+Qkzg1j\n+4I0ts1P9Vk0qvRWjrYqONyi4JZMR11hEg9UpLCmJNmnI4Rs3MK5LjX7m0a4JdWxOC+BjWUS1pYm\n3zPf1uZ0caVvDJnWzO4lOX/yBd//BMYEQfjHgICAvwXiBEH4m2nuHw/0ABmCIJg9Bd8BQRC+nMnr\nTifaEASBXrWRE+0qTrWraJfrWZKfwPrSZNaUJH+Ho/b2+T6uD2jpVRsZGjMjiQ4nLymSkMAAulVG\nMWA9IpSN5SlsKpewICN22q6L90D38g1mUuSZ7U5OtKs43SmqiZfnJ/JQZRprSmbWQblfGBo18+k1\ncSSQFR/Brtosts5Slj9utvP1TRkfXB5grh98IS8cLjdHWhS8e7EfjdHGc8tyJ4Qg9wJvd+JA8wgX\ne0Z5dVUej1f7b4yqMdp4+3w/n14bYn2pBJvDhRt448kqv81hT7Sr+NXJbuxONz9eVzhprJM/uDE4\nxq9P99IsEy+2u5dk3fP7c3uR3zA8zvb5aTxRk+l35J2XOH2sVcGw1sz1AS3LCxJZUZDIsoKEGV3E\nTTYnHQqDx5zYSsOwDumYGdm4hajwYNLjRH+ujLgIMuPnkBkXQXxkqKe4C8FgddAs07G+JJnj7Sr+\n7UQXUeHB/HRjMcvy702dLAgCRquTUZOdEZ0F+bgVuc7CiM6KfNyCXGdlZNyCwyUwLyMGSXQ4xZK5\nFKdEUyyJIiNujt+fucst0CLTcbZLzdkuNZ0KAzU5cawuTqauKJHcRP/G9VaHiyMtCj67NkyX0sBD\nlek8UZM5qVLU6XJzol3JuxcH0JrsPLwwnadqs6ecpLTL9fz2bC/nutRieseK7xZ2snELb53t5ZvG\nER5emM4rdXmTbva8hd+5LjXl6TG8vjp/VjFYUq2Z35zp5UCzfNrXmwxWh4vPrw/z1tk+FmTEsKs2\ni5WFvj0/vX/n+xf7+eKGlJWFSby8MndS/0CHy83hFgXvXexHbfhjNOWdGyDxc1Dx4ZUBOhVGnqzN\n5KnF/m2Up/rbDt0Sx7d9ahOPLBSPgftF+bgd3lSnvQ1S+jVmMuLm8OAC0djZl/iivn+M/c0jHGlR\nkJ8YORGE4GujP2ayc7xNLP5uDGhZnJfA5nkprCtJ9ima05kdnO4UJ4DnutUUSaLYUCZhfWmy31ZA\nU+FPfqQbEBDQCawWBEEeEBCQCpwRBKF4mvu/AqwSBGG35/v3uQ8Fn9Xh4krfKKc7VFzuG8Nid7Kq\nOIl1JRKW5if4vJAbrA5Odaj4tnGEi70arA43xZK5/PeHKqjxoZxyeVzuj7SIXcDIsOCJvFxfRZ7V\n4eJ0h4oDzXLOdampyo5j2/xUNpZJZpUucK/wXgzOd2s43SlG+uyqyZxV7Iy3+P3oyhDH2hSsK0nm\ne0unVwR64d3ZfnB5gMz4CF6YYgc8Uzhcbg7dkvPbs3243G5eW5XP1vlpfu+Y5ToLb53tY2+DjAcX\npPHqqjwahsb5l2OdHPjRCp8CE7dHmPJvJ3sIAH68rpCNZTMXmHg7g3vqh2hX6Hm1Lp9HF2Xc88Zg\nQGPis+vDfHlDSk5CBLtqsvz23rI6XJzv1nC8TcHJdhWS6HA2lkvYUCqhNDXar+QRpd5Gu1xMnmjz\nJFDIdRYKk6MoS42mMjOWlJhwMuLmkB43xy97l+ExMy/94Tp9GiOS6HD+74fKWTtLAcxsYbQ5GVCb\n6FIZ6FQa6FIY6FQYGLc4KJREUexR8c7PiGFeeqxf77fO7OBCj4azXSrUBhvDWgubK1J4oCLF71zd\nwVETn18f5saAFqvTze7FWWybnzbp67eO6HjnQj8n2pQ8WJnG88tzpxy5DY2a+d35XvY3yXmoMo0X\nV+R+p2BT6a28faGfz68Ps7kilddW5ZE1SUE3ZrTx/qUBPrwyyKqiJF5fUzArpaVSb+X35/r44oaU\nzRUpfH9Vvt/G83anmyOtct441UNQYCCv1uWxdX6qX5QDvdXBZ/XDvHexn4z4CF5blT+lIKJxeJz3\nLvZzplPNgwvSeG55zqTvb4/KwIeXB9nXOMLSvASeW57D4lmqe0Gk1nx+bZivbkopSY1mR2UaW+al\n3nfrJBDfj6MtCr5tGqFxeJx1Jck8VJnOisLpHSzEgIRRvmkc4Xi7ktzESLZUpLJ5XsqUm8dP64cI\nDhKFm6c6lNwY1LKvYYT5GTFs8jhu+Cocvd050ZbFwJjJzrqSZNaWJlOTM3ND5v8TCr5xQRBib/te\nKwjClP3vgICAU8DPBUE44Pn+fWApYANOAn8rCILN1+tWV1cL35w4z+kOFac7VFztH6M0NYrVxcms\nLUmmWDKXwMDpP4w7408WZcdRmRnLJ/VD/OX6Ip5aPLWBrt3p5lKvhqOtCo63KZFEh08str52AVaH\nk/PdGg42yznVoaIiPYZt86fO2r0dAxoT9QNjPF6dOe39ZgKvb94X16UcuiVnQWYsT9VmsqZk8nGP\nL5jtTr5pHOGjK4PorQ52L87msUUZfqmO2+WiZUS30kBWfAQvrMj1u6s0HUw2J59dG+adC/1kxM3h\n1VV5rC5K9rvQ6lOLBrafX5fyRE0mL63IJTk6nAGNiYd/c4kPXqid9vf0enT99qyYw7l9ftqsTI7t\nTjFS7nfn+ggMDODHawvYUCa5J8Kxw+XmRJuSj68OERQIRZIonqjJ8su/SmdxcL5Lzf7mES71jFKR\nHjPBifU1gnG5xfzJq/1jXOsfw2x30jqipywtWow5So2mLC2avMTIe079ePdCP1aHi4s9GgZGzby2\nOp/HqjPu2YT7XqG3OsTiTykWgM1SHZ0KA0WSuSzyCDeqc+J8+n253QKN0nGOtCg43CIH4IHyFB6o\nSKUqc/qpBPwxV/WTq4M0DI+zozKdpxZnTVpcqfRWProyyCf1Q8xLj+HFFXlT+jiqDTb21A/y3sUB\nVhQm8Wpd3nfOkzGTnfcv9fP5NanHZzN/UqqI3urgw8uDvHexn0XZcfxwTeGMYwgnXu9i/0QB+Wpd\n/qQcusng3WS9da6XoVEzL6zIZVetfxnTDpebg80jfHptmJFxK88szeax6rs7eSAWpx9dGeRYm5LE\nuaF8b0nOpGILo83J3gYZF7rVdCnFrt+jizJnJfQBcW051yVuIq8NjLGpPIVHF2XM2irGF9SeKMFv\nm0SP2gfKJWxfkEZt7vS0JYfLzaXeUQ41yznWpiArIZKt81LYXPHdsW+/xsTTb1/l5ZW5POfhvJvt\n4rX3aKuCUx0qsuIj2FgmYWN5CoV+iDxbZHpOdig52a5iaMxMXVES60qSWV2c5FeD5k+i4AsICDgB\npEzyX/8Z+IO/BZ+nA9gMpAmC4LjtZwogFPgd0CsIwt9P8fhXgFcAIlLzFxW/9htWFyWxuiSZusJE\nn2+4Nz7lZLuS890aBkZNrPGYL68sSkKqNfPMO/X8pwdKeHTR3V5MRpuTs51qjrcp6FIamRMa5FlU\nU3xe3KwOF+e61BxuUXCyXTnBXXqgIsWnDYpCZ+VA8wj7m0aQjVvYNj+N/7qt7J5tR1R6K183yPjy\nhhSny81j1Zk8vDB91mOCdrmeIy1y/nB5kOrseJ5ekkVdYRKBgQEMj5mp7x8j1sOj8t6i54QQFBjA\nkRYFH14eZHDMxFO12eyqzZyxqeVUf+PeRhlvne1jSV48r9Tl+0zouB0NQ1p+e7aXawNaXl+dxyML\nM79DAn/ojQvsrEqfWFDuhNnu5NP6Yd4+30de0lxeX53P0lmMEY02J5/WD/HOhX5yEyP5/qp8v8dL\nU0E2buHT+iE+uzZMTmIkuxdn8UBFis8iyEs92N80wpXeUXYuTGdBRixrS5KnVUZaHS6apTrq+9qR\nip4AACAASURBVEepH9DSMKglJSacmtx4anPiqc6Ju2+xai63gMH6R6GGzuJg3Cx+bZPrudI3inzc\nSnhIINsXpBEAuAQBtyCuE17xRnCQmAMdGRpERJj4NTIsWPxZWBARocHEzgkhcW4Y0XOC78vv7n2f\nrg+OcXNQy41BLRGhwVTnxLE8P4FFOfHkJUZO+Vpe94GjLeJIS2918ON1hexenO3X60u1Zj67Nsxn\n10S7pqcWZ7G5IoU5d3R8rA6XSOq/MEBIcAD7Xl8+rQJ0T/0Q714YoFAyl1fr8r9TJBqsDj65Kh7f\n5WnRvLa6gJqcuLv+RrPdyZ76YX5/ro+6okR2VmXMSplvsDo8KRq9lKVG8+qqvBmlCDVLx3nrXB+X\nejQ8tyyHJ/xIrvCiYUjLe3eY0k+2ubI5XRPromzcwpO1WeyqzbzreiHy3rR8fHWI421K1hQn89Ti\nrHvq+qkMVvY1yPjiuhSb082jizJ4eGH6rPiU/mB4zMyxNgVf3ZChNtrYUpHCtgVpLPLh3+lwubnS\nNzrhlGGyOSeuyQXJUQyPmXn6navsqsnitdX533ms0+WmfmCMY61KjrUqyE6IYF5GLOtKklnkh4BT\nqbdyqkNU5V7pG2N+RgyripJYV5pMftLkxeOfRME3HWYy0g0ICPgJUC4IwitT/P9q4GeCIGzz9bpl\n86uEW403fY74jDYnF7o1nOpQcqpDTcycYNaVimOmqqxY/vloJzqLg8iwYL64LuWnG4t4Zmn2xIel\nMlg52a7iWKuCawNaqrJi2ViewobS5CnDw72w2F2c6VRxqEVM6ChPi2bLvFQ2laf4LGbGTHYOt8j5\ntnGEDoWBjWUSHqxMY2ne9AkdvuDN2TzWpuBcl4ZN5aItS3X23YurPzDanBxoGmGPR8q/y7PLvJOo\nfGNQy4eXB75zAdaaHWjNdgQBKjNjeKUunw1lUxOIZ4IWmTh+OtWh4klPlJC/Ixy3W+B0p4q3zvUh\n01p4eWUuj9dk3jXiEASBo60KNpXfbTejMzv44PIAf7g8QHV2PK+tzp/WAX8qqAxWPvd0JpcVJPJq\nXZ7fWaKTweUWONup4uOrQ9wY0rKjMp3di7N8juytDhdnPaTms51qFmbHsX1BGhvLJVPyBQVBoEdl\n5EynyDlT6K1EhAZRmxNPTW48NTnxs+pGCILAqMmOVGtBqjUj01om/u0VbfRpTESGBk0INSY2GOHB\nGKxOmoZ1WBwukuaG8Wh1BsGBAQQGBnjEGgF4D0G3IHaHTTYXZrso2DDbXeLP7OLPJdFhXOoZxekW\nJlI3UmLCSfGkb6TEhJMeG052QuSsaBqCINCnMU2IN75pHCEwIIC6okRWFiaxPD9xWneCHpURm9M1\nY+9Fb8LCJ/VDDI9ZWF+azO7F2XedR4Ig0K0y+jVqtTvdfNs0wltnewkNDuSVujy2VKQQ4tlkWB0u\n9jbIeOtsLwlzw3htVT5ripMIumNNsDldHGiS88bpHqLnhPDaqrxZiZ1sTtHD861zfUSGBvPqqjy/\nLKG8GBo1s7dBxrsX+1lVlMQLK6ZWNd+JP8ZODlGWFsOLK3JYUTD5uLd1RMdHV4Y42DxCXVESzyzN\npibn7oJOZ3bwdYOUT64O4RIEdi8Wc89n2/Xziha/vCFlf/MIm8pTqMmJ54GK6ZMvpoLB6vBJe+lV\nGznULOfgLTlas50t80TLMl+daqfLzbUB7YTA0tuQqcmJ4x8OtrN1Xip/uaFo0uucN6jhWJuSk+1K\nRsY9QQ1lElYW+g5q8FLKjrcpOdWhIiQoULSHK02mNvePnnz/JxR8/wyM3ibaiBcE4T9Ncd8rwN8J\ngnD6tp+leorFAEQlr1UQhL/19brTiTYGR02iJLpDxc1BLVVZcawtEUe9dy5WHQo9F7o1/MuxTnIS\nItGa7egtTqLmBDNuthOAaNuysTyF1cVJPsnwBquD051qLvZoONQsjkc3z0thY1mKT1XjuNnOsVYl\nB27JUegsFEmi2L4gzacjuS+43WKm7N4GKUdblczPiBHNncskRM6C3O/l5n12TVSPLclL4Mla32ad\n3t/lUu8on9QPckuqw2R3sjg3gd88vWi2f94EvMbN714YQKo18+yyHHbVZPnttWZzujh8S8Gbp3sI\nCQrk1VV5bJ2XOqMC2xub1DqiIzM+wq8ouMnQpTTw9vk+jrQoeG5ZDg8vzPC7YJ0MaoONz68P88nV\nIaqyYqkrSmL7FFwtL7ym4Oe71ezxZCFvX5DG5oqpMy4NVgeXekc506nmXJcagFXFSawuSmJpXgJR\nM1DjutwCA6MmOuQGOhR6elRGulVGZFoL4SGBZMRFkB47h4w47y2CjPg5JM8NIyYilKDAADRGGzcG\ntawvlXB9YIx/Pd6FxmDjJ+sL2TY/7b5ZqoBYGCr0YuqGXGcV/60XkzfCQwI51aEmPCSQ/KS5FErm\nUpA0lwJP8kZyVJjfGy6vKO1sl4bz3WquD2gplMxlZWESdYWJVGbG3vMI/E4MjZr5uH6QL6/75+nm\nC95N1b4GGTeHxnl+eQ5P1GROXFhdboEjLQo+vTaEUm/lxRW57Ki6Owfbm2rx27O9GKxOXq7LY2dV\n+oy5rG63wMkOFW+d7UVpsPLyyjweXZThN4/Nq2p+/9IAyVFhPL88lwcqUvzavFodLg40yznYPEK3\nysjuxdk8Xj05BUZvdfD1DSkXe0fpUxt5sjaLRxZm3NVZFwQxn/ZEm4JP6odZWZjI49WZrCz0vUZP\n93ue7lTx1Q0ZV/tHWVOczM6F6awsSPTrONCa7NT982mqPZvFDWUSn4VUj8rAgWY5B5rlxEWEMC89\nli3zUnwm93gL1SOtCo60KDDbnDjdAouy4/jlEwuY48NjVzZu4VS7khPtKm4Meho9ZRJWFyf7nOYJ\ngkC73OBpMqnoVhlZnp/IxnIJjyzK/JMv+BKAz4EsYAh4TBCEsYCAgGrg+4IgvOS5Xw5wEcgUBMF9\n2+NPAUlAANDoeYzR1+veXvBZHS7q+8c406nmTKcKg9XB+jIJq4qSWFGY5HMn4nC6ONamomFIy8kO\nFVqTHaPNyc6qdP7r9jKfB6XGaON4m+jnc31AS01OHA9VplNXlORzZ6UzOzjaJip6bw5qWVGYyJZ5\nqawtTiYy/N5Isz1KA3sbZexrGCEqPJiHF4p2GrMdlXqTOa70jdKlNPBETabfyRwao40vrkv59NoQ\nc0KCeHJxFpd7RgkOCuBXu6ruaTytszg40DzCb870khQVxos+LCQm+7s+vjrEh1cGWVuSPGl0lC+0\nyHT87lwf57rVPFGdOamxqi8IgsDFnlF+f76PNrmeZ5Zk8/SSbL8NZCd7vmsDWj68MsjZThWbK1J5\nekm2T+5Tl9LA1zdF77b4yFAerU5n67y0KY+boVEzJzvE4/+WVMfC7DhWFSWxujhpytHGndBZHLTK\ndLQrDHTI9XQqDXQrjSRFhVGSEiXeUqPJTYwkMz7C7+6CbNzC6x/doFNpICI0mL95oIRHFqbf94LI\nH3hFKd0qAz0q40QB26syYne6WVuSTExECAsyYqnMiiU3IdKv88LqcHFjUMu5bjVdCgNNUh1ripPZ\nUCbGSN5P8r1X1PXhlUFkWgu7ajPZVZPpc9oxHZqGx/n9+T4u9NwdoygI4gbxd+fEc+K5ZTnsXpx1\nV6dUEASu9I3x1rle2kb0vL46n51VGbMy1r4xqOXbRhn7m+U8Xp3Js8uy/T6XxU2nkncv9jM8JvL8\nHp2kIJsKTcPjfHRlkCOtXpFbNguz7p6+eAu6PVeHON6uZG1JMk/WTj7G1VsdfNs4wufXh1EbbDy6\nKIPHFmXOyBD+ToyZ7BxsHuHrBhnDYxa2L0jl4aoMKtKnFwsZbU5Otv8xLm15QSLbFqSyrsR3fGiX\n0iDGpd1SoDXb2VSewuZ5KdTmfNc0WRAEBjzpNj0qI11KAy0yHYOjZtwe2saOyjQ2ladQV5TkM9Pc\naHNyvkvNjUHthDXSGk/3rsqPzdWo0caZTjVDY2b+amPxn3bB9x+F+ZULhb/+7V7OeAQbxSlREwbM\nZX4oAnUWB2e71JxsV3K2S01G3BzWl0pInBvGz4938ctdlawsTJry8cNjJo62igkd7Qo9dUVJPODp\nAvoqEHVmB6c6lXzTOML1AS0rChLZMj+VdSXJPg8+X1DoPCbNTTISI8MolMxlZ1XGrDzzQBzrnO5Q\n8eUNKZf7RtlQKuHx6kxq/UjmEASBy72jfFw/xLkuNZvKU3hqcRZVmbH8y7FOrvSN8fFLi2etLO3w\nZIIeaBoRveGq0lnop18WiAvIuxf6OXRLzuaKVF5YkeszxPx2CILAmS41vz/XR7/GxAvLc3miNnPG\nlih2p5vDLaJy2OFy8/LKXB6qnHmXwguDxcG+RhkfXhnE6RZ4enE2jyyc/uKnNtj4tmmEvQ1S1AYb\nO6rSebgqY9L3w7uD9Y5ONEabx7ZAVMT7KjAEQWBw1Mx1Dz/txuAYUq2FpXkJpMXOoSQ1ipKUaIpT\nomY1NroTKr2VD64McnNQy+CoecYWPP87oDXZ6VYZaBrW0Sgdp3FoHIPVIRpRZ8RS6Ukc8cf7UDZu\n4YSHttE0rGNJXjwby1Lui6fY7WiX6/n46iA9KiNxEaF8b0n2rPipXtxuSry6OImXV35X4NGh0PP2\n+X6OtynZWZXOiytyJ+22tMv1fHF9mK9uythZlc7zy3NmZekyNGrmvUv9fH1TRl1REi/OYFwL4ibw\nQPMIn1wdYmN5Cs8szfabjjFutvPlDSkfXx0iLDiQF1bksrkiZdJry7jZzt4GmTjGdQs8uyyHZ5fl\nTPq87XLRi/GbxhFKUqLYvTiLNSXJ97Qp6NeY2Ncg41ibArcbNs9L4cEFaT4tXrzNjv0exe6D89Oo\nK07yyzS5T23kcIvYvRsZt7ChTMKWeaksyUugYUjLX3/ZTEHyXAqT51LgiTDMT57L3LBg+tVGzvdo\nOO4Ra9bkxLGxPIV1pck+mxcut5g7f6pdTPeS6yysKkpibamEVX4EP/zJj3T/oxCZXiS8+vPPWVWc\nRF1hks8dlDgGMU3EsKkNNrISIlhXmsy6EgkpMeGc7lDx0y+a+PXuhSzJS7jr8S0yPcfblRz3qKdS\nY8InUjZ8HaBqg41jbeIB2jg0ziOLMqjKimVdqeSeL2renMFvGmW0yw1sKpfwUOXsTZoBOhUGvrg+\nzL5GGTkJkTy6KIOt81N9FrMgXmC/uinjat8oIzoLT9VmsXNhxoQi7fNrw7x5poevX1s247xgh8vN\nsVYlf7g8wOCoKPB4sjaTZD+7lm63wIUeDb8/30eHwsDTi7PZvSRrRhdCb3bvac+u7ZW6XLbNT5sx\n93DMZOeTq4N8eGWQNcXJbCpPYVVR0qy7nW0jej66OsjRFgUrChN5ojrTrwuwIAg88G/nKU+P5uGq\nDJbm333cuFxuGobHPUWeErcg8EB5CpsqxPGKr+OsR2XkZLtojXBzSEtwYCCLcuKozo5jUXYcpanR\n94W76YXV4WLc7GDcYkdndjBucaAzO2iT67jYM4pUayYsJIht81IJCAjA6RZwud243OByi8kLYcFi\nhFZ4SBARoUHMCQliTqjnFiLeYuaEEBMRQnJUOPGRofd1RKw22GgaHqdJOk7j8DhNw+P8clcVa0qS\n/X4OndnBmS4Vx1pFT7GFWXHUFSWxZV7KrMVZd8KrFv3o8iAOt1vcYCzKmJWZNoib8U/rhzjVoQLg\nhRW5rC/9oyWTQmfl/UsDXOhR8+0PVkx5vih0Vj64PMCn14apyYnjpZV5s+Iq660OPr8mmlCnxITz\nwvIcNs1wgvDZ9WE+vjJEUlQYzyzNZss8/9KJvBSYE+1Kvr4pZXNFKk8uzpo0B9Yr3uhUGKd1mACR\nvnK8Tey0Xe4dZVN5Co8syqDWR6btdPC6PXzbOMKBZjmpMeE8uEBMzPB1rGmMNs50qPjyphjVuKY4\nmS3zUlhd7NuDdnhMjDhtV+g50aZktWctXV3su3unszg44/Hc0xhtWBxu1pcks65UQmnq9JZqIDp9\nnO4U/X7b5Hqy4iNY46GPTab6/XPBN0tMx+Hz4nZvvtOdahwu94Rty7L8BCLDgvm7r29xrktNbEQI\nvSojL67MZUOZKNEWBLjQq+Fit4YT7UrCggM9lhMpLMr2fZEbGbdwxLMLaVfoWV2czOYK8UC81zGL\nydNm/tJTWNUVJfFg5b3x/TRGG982jnCuW0WH3MjDC9N5dFGGX2ac3k7g59eHqe8fY8u8VB6rzrhr\nHDFmsrPxF+f47NUlPmNzbodKb50gR2cnRPLs0hw2lvsv8DBYHXx5Q8qHlwcpT4ueeL9m8l4p9VY+\nvDzInvohKjNjeX55DstnOPoFsbP43sV+DjaLncXnV+TMOhrOyzv0jti8Sr6Zju3dbuGuhd4bPL6/\nSc6xVgUpMeGsKExiU7nEb583Lw42y7k2MMZCT4F3L1FvBqsD2bhlQqwhG/+jeCM4KJAWmQ4BiJ0T\ncpsqPJTYiBDsDhfNMh1as4OkqFCeqM4iLERMEggKEBMXgoNE4YbLLWB1uLE4XFgdomjDYhe/t9id\nWBwu4iJCaRweR22wobM4iI8MJSkqjKSoMJI9XzPi5pAcFT4xjp5tYetVD892HG1zurjaN8aB5hGO\ntSkpSJrL1vmpbK5I9VthOh28Y8YPLw9yxkMh2L0ka9YiI6/p+jsX+hk1iabrj1dnTGw6BUHw6xg0\n2518eUPKuxf6iZkTwqurZicO82aCH2lVUN8/xtNLsnmiJtPvzaLLLXCqQ8UHlwdol+t5bFEGTy3O\n9skJ80Klt/LFDSmfXRsmIjSIJ2uz2FGVPuvC+vbn3dco46sbMkx2Jw8vzOCRhemz6op64XS5udI3\nxrdNMo62KilJieLhhelsKPNtPaY22DjaKmbU35LpWFWUxNZ5qawuTvY59lXprRxrE63Wbg5qqc2N\nZ1O5OH3w1VwQY1fHONEu2q44XW7WlorF39I8316+ZruTq31jnPI0lQDWliSzpiRpoin054Jvlpiq\n4JNqzZzrUnOyQ8XVvjFKUqImKu7JTJBdboF+jZFn37nGurJkNAYbTdJx5DorbgFSosN4ZlkOG8sk\nfvGRelRGjrUp6JAbONetZn2phM0VKSwv8N0F9AWLXSTNHmge4XyXhk0VKSzNS2BjuW/y61Twqna/\nvinl+qCWDaUSdi5MZ1lewl3KuMnQqzLw+Q0pX9+UkR0fweM1mWydlzrtzsrqcPm9u73Qo+GTq0Nc\n6tXw7LIctsxLpTTV/+KoR2XgD5cG+bZJzOt9dmnOpHYP06FZOs67F/o53almR2Uazy7LmbEjvdst\ncK5bzTsX+ulQGPjekmyeWjyzzuLtGBw1sad+mC+uD1OaGs3TS+6NRO+FIIjWRQea5RxoGiEiLJjt\n89PYOj/VL1+++wW3W2BozDzhT9elNDA4amZozIzd6Z4wXs6Im0N6bMTE9ylR4cTPDb3r+God0fHz\nY120y/X8eF0hjyzKuK8dRRALlFGjHbXBhtpoRW2wodLbsDrd3JLp6NcYUeptpMfOISchgtzEueQm\nRZKbEEluUgRpMffHksYf2J1uLvaKXqDH25QUS6LYMi+FzfNS74sdklck1DikRWW08/TiLL+SdabC\nzSEt717o53y3hocXpvPcspmPaV1ugZPtSg7dknOlb4zvLc1mV03mjKcMII5rP7w8yOEWOetLJTyz\nLGdG494+tZFvG2X84fKgx/c0i7Ul/p2/brfA5b5R9tQPcbZLzcYyCY/XZFI7iWp3JvAqVb+8IWV/\n0wjV2XHUFYvF1r2EANicLs50qrnaN8oX16VUZsWyfb6o8Pf1vBqjWPwdvqUgAIG54SETcWm+qDP9\nGhNNw1qOt6nEa3GJhLK0aNaXScj1IYC7Pa3rZLuSDrmBDWUSanPjWVOS7PMc8SrXT3l8gltH9Gwo\nk/Bvu6r+XPDNBt6Cz+pwcW3gj4KNcbODuqIk1pYks6Ig0a9Rb7fKyEnPB9upMJCbGEn/qIlfPL6A\n9WWT2Q/+EV7D02OtImfGbHOxsVwiysFzZ+7EfSe8dhgHmuWc6VSxICOWbfNFa5fZkvlF1e4oextk\n31Xtlqf4xSH0iiS+vCElZk4IxZIoHqvOvG8FgVfgsad+iLlhwexeksVDlel+j769O+n3L/WL443a\nTJ5anD2jLobd6eZoq2inc6VvjOeWTR555At6q4Mvr0v58Mog8zJiWFWYxLYFqbPqwrrcAqc7VHx0\ndZBRo43a3AR2L866L3FInQoDR1rkfHVTRmAAbPOElxdLfI817hVak50Wme47xV23hxdWnBJFkUQU\nbeQmRpAZH0ncDHJpjTYnf/NVM/X9Y7y+Op8na7P+Q7l7NqeL4TEzfWoT/RoTA6Mm+tQmXG43XUoj\n5Wkx/1977x0d15nmZz4XOccCUAEAE3IGCOaccxAltVrdPd0T7LHPzLhnx55dj9d7dm2fXYf1znhs\nr+1Ze8YeTU+r1ZKaFEmRFHMUM5FzIBErVyFUFVABVXf/uFUQmgLJqgJESuR9zsEphGLx4sOte9/v\nDb8fFZoUKjSplKtTWaZIXNQy8bOO6cs+M5836zDapI3ukRo1eytUC84eeX0i17qN/O3dQZqGxzlW\nl7ugc1Y7Ps3f3BnkSpeBJRmJ/Hj9kpAHrEDaAHxwe4Av2iRZpd/csDRk2RqQ2mk+fjjM39wZJDMx\nhh+vW8qBquDKtfDVhO6H9wbRjjv53ippCCZYj3CL3cXZVj0f3BlYFC3VAAFjgU8ejnCjx8TaFZm8\nVath+wJtPqfcM1ztMnGmVUparFyazoFKFbvLlS881yx2F5c7jbMZ1vql6ez1O2bMF7T/3s8fkRof\nw/95tAKP18f9J9ZZHdzkuCh2lgXk2V5crRtzuLndb+aLdgM3e01o0uLZVixZtdbkpb3w309Me+gz\n2qlfmiEHfOGwrLRK3PaP/4r7/oGNwFRghTr1hT0IUmnDIgV5XUZEEXaUSlnA0bFp/sOVXj747dXP\nLLMFpoK/8LtspCdEs7tMye7yHCo1X++tCJWASPOdfjO/ahilTJ0y68QRbkYosHs71azlVJOWunxp\nEjDYqd0Zr4+bvWY+bZAuAJsLs3h7pYbNhVmLMvHo80kDHh89GOJaj4m95Up+uHbJvL0qz8I46eSX\nD4b56MEwq5dlsLlImngOJbgyTjr58P4QH94bYkVWEj9ev4RdpaE7WczNLG4qVPCb65eyMkytQ6PN\nyS/vS79XVnIsP1xgtiSAdnyaU81aPmscZWLaw2+sXcLmoizK1aGVa0PB4/XRrbfRODRG49A4jcPj\nmG0u1q3IRJUaJ3nMKpMozElesB8wSDfkgI/qN2EVtZiY7S7atZO0jU7Qrp2gdXQCq91NmTqFcnUq\ndflpVOamsTQz4Rv7+zg9knboySYtt3rNrC/I5EjNwm/0IPVafXh/iE8eDlOUIw0M7C7LmdXgC4Up\n1wwnm7V8cHsAj9fHT/zSRaH2Q1sdbn5xf4i/vTtIXnoCv71xKTtKQy/3BgLbTx6O0DA0xtFaDe+v\nzn9hJmkuXfpJPrw3xMkmKbv243VL2VAQnO5qQCrrY79bUk1eGu/W57KrLGfBbjKTTg9ftOn5rHGU\ndu0ke8pzOFqjYc0CesRBaku63GXkjN+l50iNmuq8NHYFYSsakD8736bnRo+JMnUKR2s0bCpSzIpD\n210z/N0PHqJIjuXPvlc9+zcNGDBc8vfjm2wutpVks7sshw0FihcmPWa8PhqGxrnSZeRatxGjzcXm\nQgVbi7PYUvR88Xm5pBsmyhXl4n87fpFNQThsgDS5drXLOJta3lKcRakqhZr8NJTJsSxVJPGzOwP8\nt5tP+NnvrP7aDtRid/lVtY182WdmT0WO31RZGdKb+llMuWe41m3ibKuO6z0mytUp7KtUsa9cGfRA\nwnw8MTs41SRN7Xq8Po5Uazhcow7aj7JbP8mvGkY50TiKJi2et1fmcqhqYSn+uegnnHz6aJiPH46Q\nEBPJT9YtZX9V8JmFgGzDz+8NcqvXzIEqNT9ckx+SHZsoijwaHOODO5J8yWG/+n2onp1SZtHAB7cH\n6dLbwsoszj2me4+t/OzuIDd7TRyoUvHDNUsWbDM3MeXhbJuOzxpH6TbY2Feh5EiNZkHN2s/D6nDT\nMDjGgwErjUPjtGknyE2PpzYvndr8NGrz0ynITvrGs1jz0a23sTwrcdFLu4vJxJSHdu0EbdoJDJOS\nFZXHK7JqaTqrlmawelkGpaqUb2T9JqY9nG+XhsFaRybYXa7k7TrNC62vXkTAQeJCu4EHA1beW5XH\n91fnh9XXKYoi959Y+eDOAF/2WXirVsOP1y0JOYMYGAa72mXkZp+J91fn8/7q/LDK2wNmB7+4P8Sn\nj0YoVaXwwzX57AyhZ3DKPcPnzZLlWK/Rxtt1uXyvPi9oHc5pt5cv2nV88nCETt0kP163lB2l2YuS\njAioQJxoHEWVGsdSRSKHqtUhbcznw+b0zAq73+6zUJOfxr4KFbvLc16Y5Ah4eD8ctPLJwxGUKXF+\n7dwcVigS+YNfNOIT4T//sG7eTcuwdUqq7hlsnG7WScOUJdlsL8kJSromEFs8HLByqdM420a2tTjr\na73OcsAXJi8a2vB4fTwcGONat5Gr3UbMdvdsFnDuVO+H94b4i+v9aMenEQSpybImL52inCRs0x4e\nDY3ToZukR29jY6GCHaU5bCvOCqvv42lsTg9Xuox80abnVq85pJP8eegmprnaZeKXD4YYHXdysErF\n4RpJqTyYN6V+wsmp5lFONGoRBNhSlMXbdbmLVrL1eH1c6TLyywfDPBoc40CVivfq86gK4aIx5nDz\nqwZJUT46MoIfrZUamEPpZXS4JM/fO4/NtI1O8htrw5suNNtd/PKBJGq8ckk620qyQs4sBhhzSHIM\nv7g/RKkqmdXLMnmrTrOgbJdrxsvVLmmj8+mjETYWKjhSo2FbycIEvedjYtrD/SdW7vRbO6jgIwAA\nIABJREFUuN1vZnRsmsM1apQpcdTmp1OVl7oombvF4A8/aqRpeJw/2lnEoerFFWH+phBFkZGxaR4O\nWrn/RAqkDRNOavLTWL00g/UrFFTlpS56EGucdHK6RcedfjOtoxMcqdFwtEYTttxTgB6DjQ/vDfFZ\n0ygr89P54dp8thRlh/W30I5P8/N7gxx/NEJlbhpvr8xlR5B9cXPp1E3yt3cHOe3v+/3R2iUh2a4F\ncHq8nG/X8/O7QwxYHLy3Ko/3VuWFZE/Wa7DxywfDnGgcpSA7ifdW5bGvQvXC4YUAw9YpzrRITkhR\nEQLH6nJ5q1YTdMn4ucemt3G6RcupZi0+EQ5VqzhUrQ57AC2AwyUlP861zUl++O+LLypVz3h9PBoc\n87tJGfD6RHaUZNNnsuP1ifzVb656bhZYcuYycblTGvRMS4ieNW1YuST9he+rQPXvareUXHK4Ztha\nnMW24mw2FCpIjY+RA75wmC/gGx2f5kaPiRu9Jh4+GUOdFseW4my2FWdRlfv8Ovv/eryFLcVZPBwY\n43a/hW69Da9PpG5JOj/dUcja5RmLcnM0211c8os0t4yMU5ufwe5yqZcg3J48kMp+51r1fN6ipcdg\n5736XDb53Q2CueA9nbbfW67kaK2GNUHo7QVLn9HGhXYD/+P2AEszE3hvVT77K5VBl9p8fueHjx4M\nc7XLwOEaDcfqNPMKkz6PgH7Y6WYda5dn8KO1S9iwQhHS7xnICv7s7iBXuozsq1Dyo7XB62w9/VoP\nBsb48N4gl7uM7CrN4Qdr8sMuAQdes2FonOMNUomnWJnMuyvz2FmWs+C+rLlMu2e4PzDG7X4zd/st\n9Bnt1Oans25FJutWZFKpWfzgYzG53W/m357vZsrl5Y/3FLOzNPulDU4sFlaHm4cDVu4/sdA4PEGP\n3sbqZRlsKlSwsTCLFVnP9t0Nhz7jV8LcKfHRkgZmjWZBk77Tbi+nW7T8/N4QZpuL76/K43urcslJ\nCT0wcXq8nGvT8bM7g+gmnPxgdT7vzeNB+yJsTg+fNY7yN3cGEYEfr13C0TA3X4HAtmFojPSEGN5f\nncf2khxiooJ7b7hnfFzqNPDLB8M0DY/z/uo89laogs6sBSRbftUwytlWHWWqFI7V5YZtkfb0a7dr\nJzndLPm9J8VJg14Hq1UsUywsSRBob/qiTY9+0smUW+qR31OufKHKgyiKdOttnGwa5Xy7ntFxJxEC\n/HjdEn5va+ELNfMCpd/LXUaudBmIEiLQZEi9e1uKsoLSxHxidviTTiasDhdnfrpZDvjCob6+Xrx1\n5x73n1i53iN5dVodbjYXKthclMWmQgVZQbzBDZPOWW2+O/0WCnOSSIyJos9k5+O/t5a8jIWXa4et\nU5xv1/+aSPOeIK3anofF7uJcmxTkdWgn2VGaI7lEFCqCCk5dM16u+8vIlzuNrPM35m5bhH6dABNT\nHk61aPnVoxG049O8vyqPQzWakLKFATmCjx8OEx8dyfdX5YWsou/0eDnbquPn94bmOAQEb3gewO70\ncLJZy8/uDOKa8fHDNfm8szI3rBL3uMPN8cZRPrw/hM/ve/l2nWZB5fIhyxTHG0f4rHGUSP+O/kiN\netFMzwO+roEhqUcDVtatUFChSWX9ikxq8tMWPWu4mIiiiMcr4prx4prx4Z7xzQ5G/fWXA8RFR3Kg\nSsnO0hziY6KIihCIjowgKlIgOiKC6CiBmMiIV+LUESxWh5sv+8zc6pWs10RgY4GCjYUKNhYoFqU6\nAb9u2fhFm57qvLSQhr+eRdvoBD+/N8idfgvFymTeX50ftiXYXA/aTUVZ/MbaJfO6UTyPQNn4fLue\nTx6NsNcvIF8TZMVkLoFg9KP7w/SbHLxdp+F7q/JCkqjSjk9zvl3PX98eICpC4J2VebxVG3zA7fR4\nudJl5HjDCE3D42wuzOJQtZqNhYoFb84CUk4nG0e51WchNjqSA5VK9leqFjxc5p7xce+JZfZemhIf\nze4yKfibWx3q0Eri0t16G90GGz5RpDgnmdz0eEbGpzFNOjHa3FRoUthRksOO0uygjk0/Mc2NHjPX\neozc6jWzJDORbcVZbC3JpvoFCaXA2kRGRsgBXzgolpaKyp/8OSX+gY0tQQ5seH1Sc+udfjPn2vSM\njE2zqVDBjtJsNhdm8Ze3nnCpw8Df/p01YcsTiKJIh26Sq11GzrXp0U842Vmaw56KnKBEmp9HQKOo\ncWiMC36RyYNVqqDUyUFKed/ut3CqWcvFDkkf6Xv1eewozV60vrwZr4+bfWY+fTTCjW4Tm4uzeGdl\nbtCei4HXuNVn5uf3hrj32ML+ShXfXz2/4Ojz6DXY+OiBpA2YnhjDD9fkh1XmaRud4Bf3h/iiTceG\ngizerc8NOSsIX2XzProvWSIdq81lX6Uy5JvQXCamPZxt1XG6WcuAxcHuMiXH6jSL0rMDUk/RHb8/\n7rUeIzNecbZBeUNBZtiSQAvF6xPRTzoxTjixONxYp9xYHW7GHG4scx+n3CzJTODeYytur4+oCIHY\nqEhioiKI9X9ERwoIgkC/0YFXFFGmxBIbHcmMV8TjlYSYPV4fHq+PcnUq3XobqX6dv7SEaNLiY0hN\niJ7V/stOjiU9MRZNWhzqtPhXNjASCNCl4M/MlHuGKbdX6lEqzQ5ZT/FZBHxWP304wv0BK7vKcni7\nLndB4u921wynm7X84v4QFrvbn/ULXWMSpArGiQbJfWa5IpE1yzPD2lyZbC4+ffSVReQP1+RzpDa8\nrN9jk52PH47w6aMRlisSeX91Hnsqgq94BKoMv2oY4WyrFHC/szKX3WU5Qd9jzHYnZ1ulys6gZYr9\nlSqO1KgXVF0I4PWJPBiwSnZobXoUSbGLFvz5/I4XktuVnim3l/dW5bFySTrxMRE0DU1Q7LdkzJrH\np3raLU2mX+6SNPeSYqN4q1bDSn9v7IsCX4+/dBzY+BomnWwpymJzkeQU8qxNldzDFyaF5dXiwwcP\ng8rymGwubvSYuNZj4laviZwUSQF8pV8ENioyAp9P5J+dbqdxaJwPfnv1C8Uhnyaw+7jUIRkuR0YI\n7CqT5FnqghBpfh6GSSdftElClB26rwSctwUhRAnSm+PR0BinmrSca9OhSU/gUJWKg1XqRRFcDdCh\nneRE4wg3eszEx0TyzspcDlWpQ8rE9RntfPJomBMNo9QtSWNrUTYHq9UhlR2m3DOcadHx0YNhhq1T\nvLMyl/dW5YWs2zXllm44H94bwmRz8f3V+XyvPi+sNbM63BxvkHrzAN5fnc+xutyQz7MAHq+Pm70m\nftUwyo0eE5sKFRyrzWVzoYKYRcjOasenudRp4METSUi0MjeVrcVSI/LLkGoB8Pl8mO1uhsckYeVh\n6xQjY9MMj0mPunEn6YnRlCiloYX0hBgyk2Kkx8QY0hNjyEiMJiMxltT4KOKjo4iJivi196LXJ3Ku\nTcd/vtqP1yfye9tWcKBS9dwNgc8nYnfPSA4eATePaelz6dGNKEKX3oZ2XBKGToiJRJ0WjzotHk1a\nPOq0OHLT4snPTGRFVlLQPVkLxT0jyVNc6TJyucuAy+MXly3JZv0KxaIcR8Cm73jDCFaHm7dqpdaL\nguzQhqDm0jY6wYf3h/i8Wcua5Zn8aE0+G8PI+gWGoT56MMTlLiM7/e0ToTpwBLTwPrw3xM1eE3sr\nlPxgdT7VYWT9PF4flzuNknNIk5Z9FZJofShBV6Bf8NNHI7SOTkib+JJsVoUwjDVkmeJU8yifNWlx\nerwcrlZzpEZN8QJ78kB6nz0csHLGH/xlJcWwv0rFnjIlhSEOx81Hn9HO9R4jZ1p09BrtbC7MYmdZ\nNtuKX5zI8PmkkvS9J1IiZMDsYGOhYvZ6F0wrgHZ8mlt9Zi51GLjTb2F5ViJb/P9+bvZPDvjC5HlD\nG54ZH80j47MZiUHLFBtW+Memi7Pmbfz83z5rpVtv469+c1XQu7WAbdHFDgM3ekwsz0ryO3HkzGur\nEgqjY9Oca5PeHH1GOztKs9lXoWJTYXAZwoDNzZkWHY9NdrTjztmm2oUoqD+NbmKak02StIfNOcPR\nWjVHazQhvYknnR4+b9bxyaNhRsemeatOw7src0O+QbSOTPDRgyE+b9Gxckk631+VF7SY6Vw6dJN8\n6O/xW7U0nR+sCa+R3OcTuT9g4ef3hrnWLfXmvR/GzSVAIHN8vGGUk01a8jPiOVaXy8FFmJoO9OEE\npAq049NsK85mZ2k2m4pe7A+90P/bZHfRo7fTbbDR4y/FjIxNIYqQmyEJK+elJ5CXEU9uegJ56VLw\ntJBs+fGGEf7jlT7SEqL5/a0FbC/J/kYmlUVRxOJwS8Gf3xlEO+7E4nDRpbMxYHGQnRJLYXYyhdlJ\nrJjjAfpNr/tjs2Q3ebnT6B/GUFOuTmVn2Yt9RYOhSz/JCf+U/7oVmdTlp3O4Wh12v7LDn/W789jC\n/SdW3q3P492VuUG7VcxldvDr/hCRgsD7q/Nf6Dk9Hyabi+OPRvikYQQBeG+VVGINp3RumHRyvGGU\nTx8N4xPhnZW5Ievq6cala/KJxlHsrhmO1Kh5qzb4a3LgOnOySUu/0c7o+DQH/QmCYCeFn4fXJ/Jo\n0MrZVsmLOyEmkr0VSvaWq6jQLDzjbLK5uNpl5GKnFHyVq1PYVSaVboPpKTTZXFzzD13c7DVJpduS\nbLYXZ1OV++IqonvGx8NBK9e7TVzrNmG0OdlUmMWO0myO1ubKAV84PB3wzQ5s9Jj4ss9MiSqFuvx0\nthZnBTVdc65Vx5YXWJ4F/Hiv+NPAPQYbq5ZKytvBGC8/D1EU6TPaZ71KLQ4Xmwqy2FupZMMKRVDN\nvYEg72yLjrOtOuJjIjlQpeZApXJRdmkB7K4ZzrXq+KxplLbRSfZVKHmrVhPSbtLrE7ndb+Zkk5bz\n7Xo2Fih4tz43ZF2/MYebk02jXO8x02Ow8d6qPN6tzw1ZeHTS6eF0s5ZfPpD6BNetyOS9VXlhCZjO\nlZrJTo7lYJUq5J7DuQSsj443jJKfkUCJMpm36nIXLAfk8fp44NeTvNRhIDoqgl2lOewsy6Hen/le\nbDxeHz0GG60jktRIj8FOj8GGALMiy0U5ydLn2clhr9nT+HwigsDszcTnE/nnp9vZW6Fi7fKFORQs\nlBmvjyHrFL1GO31GO70GG30mO/1GB6rUOJZkJlCZm0aVJpWq3NQFyTQ9j4lpD7f7zJxt03O920hh\nTvJsj9RCb/SB9/unj0a40mVk3fJM3l6Zy7bi7KAHF56mUzfJLx8Mc7JplApNKt9flc/OsuyQe0gD\nPXof3h/CYneRmRTLe6vyWLssM+RBrntPrHz8YJiLnQY2Fij43qo8NoeZiWwcHufTRyOcadFRlZvK\n+6vzg67qBF6jU2fjs6ZRTjaNkpUcy9EaDYer1SF5jz8cHOPzFi1nW/WoUuM4WKXiQJVqUfqCRVGk\neWTCb0EqSQ7trVCyt0JJXV5aUG5Pz8PpkUq3lzoNkhXj+PSs5Er90hfHBYHS7dUuIwMWBw8Gxtjk\n19zbXBicWod2fJrrPSZGx6b5n/eWyAFfONStXCn+6c/Pcd0/lTs+5WFToYJNhVlsLlQs2kUxUAK5\n3GXgSpcR94yP7f4Ab93yhZVAnu5DcHq87C6XBJxXL80I2mandWSCz1ulN2RcdIQ/yFNRlLOwLONc\nAvY4p5q02JweYqMjw1Je79bbZocKspPjJPHV8hf7K87F67cp+/ThCDd6TWwrzuZ79XmsW54R0gUi\n0E/3ywfDXOjQs6lQwffq88JqEA+UZT5++JXUzPdX5YXdRxco0RxvGKVxaGxRzM0Dr3uz18y5Nh1X\nuowUK5PZXKhgd5mSggVmpZ9GFEUGLVM0j4zTPDxB88g4nbpJ1GnxVOWmUqlJnQ3wFEkx32jQ9X+d\n6eDeEys/3V7Iju/IJK7PJzI8NkWnzkbr6DgtIxO0jU4QExVBpSaVSk0aVbmSM0cwA2qh4Jrxcqff\nwoUOw6y4/J5yJXvKcyhXL1xz7Vyrnk8bRugz2jlUpeJYXW5IskxzCbxXPro/TI/BxtEaNe+tyqdI\nGXqp0Gp38VmTlo8fDjPl9vK9+lzeWRl6G8ek08Mp/+uYbC5+sn4Je8tVYQXOTo+XL9p0fN6i4/4T\nK7vLpR7dUAJSr1/h4ETjKL0GG8lx0RyuVrOn4sUOFwFmvD7uPZG8mL9o07NMkci79blsK85ZNC/m\nboONc616Hg5Y6TLY2FUq6ekttPcdvirdBu7lA2YHm4qy2FGSzdbi7KDuQaPj0/7MnTTkuSwrka3+\nGYKavBe3bskl3TCJVxeJh/6PD6RGyULJHWCxyjGGSSfXuo00Do1zplVHQXbS7K6gVLWw/qXAhfRG\nj4mzrXqS4qLY4x8zDzY4CDTDftEmpcTL1SmUqVLYX7W4VlgzXh93Hls41SSZrZeqkjlcrWFfRWi2\nbiabi5NNUlnH6nBztFbDsRBKDAEem+x8+miEXzWMoEyN592VuRyqVocsM2K0OTnVJPXmRUQIvFef\nx1t1mrC0D/uMds60aPnZ3SGWKxL53qq8kKRm5uLzSdIJnzwc4Yt2PVW5qbxdl8uecuWCNhZ21wxX\n/XqPN3pMlGtS2FuuZHe5clH0uAI4PV4ah8a5/8TKkNXB5S4jiTFRVOWmUp2XNhvkvYohD59P5Hy7\nnn9/uZeoSIGfbi9kV1nOdyLwm0tAh691dGI2APSJIqPj09QvyWDV0nTql2YsqhSLNHk5zoV2PU/M\nDjp0UlZ/b4WK2ry0BV13h61TksRL0whp8THsLMtZkE7cgNnB563SFL0qNZ5366VrRKhDFaIo0jIy\nwUcPhjnbKrWISH1xWSE7g3TqJrnQrudv7gyyPCuRd1bmsr9SFdb7wDjp5GSTluONo0xMuTkSxrV0\n2j3DVf/m/cs+M2tXZHK4Wu2fTA/ud/P4h+q+7DXzyaMRCrKT2F+pYl/F4l1TBi0OSU+v3UCnbpKN\nhQp2l+ewvThnUTL/xkkn17pNXO4ycLvPwq6yHJYqEtlWnB1UPOGe8Q9u9Bi53m1iYtrDynzJf3hL\nUda8w0VywBcmdStXig2PHi3Ka814fTQNj3O128jVLhOj49O/lrZdaLZwfMrN1W6p1+9mr9nv0JHD\nztLsoPvUPF4fd/otnGvTc7FDT3ZynP+iuzhNrwECFj0nm7R83qJDnSYNuIQ64OFwzUhN/wNWTjZp\nZydHQ53am5jycLpFagBPiYumMCeJd+vzQnbBcM/4uNJl4JOHIzwYsPLDtfnsLM0JWcMPvt5z+Fsb\nlrI7CF2oZzFgdnC8cZQTjSOkxsdwoFLJW7W5C9o1T0x7uNxpmBUArV+Szt4KSW5ksWQ5Jp0eHg2M\nce+JlQcDVjq0kxQrk1mzLIM1yyUNvmC0ql4mPp/IuTY9//FKL16fyI/W5rNqWQYpcdEELqmiCCIi\nPhEERGKiIkmIiSQ+JpKYyIhvXZDo84n0mew8GLDycEASY55ye6lfIk0c1i9Np1ydQswiyOWIokiX\n3sY5f/O9zTnD3gol+yqU1C/NCHs4zefz0Tg8/jWduH0V4Um8BKwgP344zK0+MztLc3i3PjfkMi1I\nw1uBSdYnZgf7KpS8U58bssCwe8bHtW4jnz4a4c5jCztLpUnm9StCPyaQAskTjZIeYqkqmc1F2Ryq\nUoV0v5p0erjQbuBk0yhNw+NsL8nmrVo161YEJ+0V+L2+7DdztkXHxU4DyxSJ7K9Qsa9SuWhyUBa7\ni8tdRi60G7j72EL9knQ2F2WxqywnrP7Np3HNeHk0MMblLsmoYXJ65teMGoIJMHUT09zsMXO918St\nXjOq1Di2+IO/+iUZxERFyAFfuLzIaeNFGG1O7vVbOd+h52avWTJDLslia3E2tXlpC+5fGjBLGY6L\nHXraRidZuzyT3WU5bC/NDjqTNOWe4UaPmYahMT5+OMwyRSJ7y6UgbzEHLwK72UCfRnZyLFuLszlU\nHdr4fGBy9LNGLVe7jdQvSeftuly2l2aHlPHyeH1c7zZxvHGEmz1mNhdlcaxOw+airJB1otq1E3zy\ncITTzVoKsqVgMZybSGAq75OHw1zuMobdcxgg4PF6vGGEIesUh6rVvF2XuyAf24lpDxc7DJxtlUo/\na5dncqBKyfbibFIXQXLH7prh3mMLrSMTXOgwMGhxUJWbxuplksVXbX7aS5UfcXq8mGwujDYXJpsL\nk82JyebC4xMZtDiwu7w4XDM4XDPY/Y8OlxevKJIQHYEPcLi8REVAdnLc7LoLAkQIAoIABVlJtGsn\nmXLP4PT48Ioi8dFS8JcQEzn7uSoljriYSBRJsWQmxkiPSdKjIimWjMSYsHvVwkE3Mc2DgTEeDlh5\nMDBGhACKpFg2FGSyfoWCMtXiVET6jFIJ7lybHqPNxQ/WSL1vq5cF15IyH3N14u49sbKzNIdjtRrW\nFyjCCiitDjefNY7y8cNhHO4Zfmv9MnaX54QVjDwxO/j00TDHG0bJTIrh3ZV5YQ2hWOzSJPOnj0aw\n2iUFgANVqrAmmb0+kXuPLRxvHOVCu57K3FSO1GjYW6EMKbNptkvWfS3DE1zsNLDTr+u6oSC4HnKQ\nrt23+y2ca9VxocPA+hWZlKmlisJCpVgCTLlnuN1v4XybnitdRhRJsewozWZnWQ41uQvLOAcYskxx\nrUfaLN9/YqVEmcye8hzWLlcElf2b8fpoHpmY1Qh+bLSzu1zJn71XIwd84RBqwBdIv173D3aMjEma\nQ7X5aWwpyl5wD8KM18fDwTG/364B54yXjQVZ7CzNYWNB8L1+Voeby52SLcydfgvVeansr1CxvTQ7\nrAGCZxGYyvy8RceZVi3RERH+Zlx1SL1/gTLkZ02jnG2V+jqO1qjZX6kKKZMkHc8Enz4a5XSzlmWK\nRI7V5XKgUhVy+t5sd3Gxw8DP7gwyMe3h7ToNb6/MDStIHjA7ONem52/vDpIaH8279bkcqdGEJacS\n2OFf6jRyrlXH5uIs3q7TsKkw9EA2wNiUm4vtes626Xk0MMa6FZkcqFKxvSR7waVTj9dH8/C4VLrp\nM9OunaQ6N43NRVmsXpZBpSb1Gw1iJqY9DFmmGLQ6GLRMMWSZQhDgwYAVo82Fy+MjKzkWRXIsWUmx\nZKdIj+q0OBJiokiKjSIxNorE2MjZz30+kb+9O8jP7g6yu0zJH2wvCClD4PH6mPZ4mXZLH1NuL9Oe\nGSamPVjsku6f2eaSHu0uzHY3FrsLq8PNhgIFFoeLvPQE8jMSyM2Qpo3zMhLQLHDi+EWMT7m502/h\ny34zt/ssjE25WbdCCv42FChYmpmw4MyltMk1cKJxFP2Ekz3lSg5UqlizAC0+s93F6WatXzvVwtFa\nDW/VaihVhT6EJooibaOTnG3T8dH9IUqUKbyzUnKbCHUD6PWJfOnXGr3abZzt/90YgtZogECm7mST\n1Nd8tFYarAgnO+70eLnaZeSzplFu91nYUKDgSI06ZDF9/YSTc206zrTo6DPZ2VWawwF/8Bfstcrj\n9XHvsYXz7ZKzVFpC9GwryUI2tnMJ6Ope7pQGKS0OF9uKs9lRmsOmQsWCBMADOD1e7j2x0jw8xmdN\nWianPWwqlDJ3GwsVQSVwrA43/SY7q5dlygFfOAQT8A1ZHFzvNXO9W/IRXZ6VOCuMWLMIWbzxKTfX\neyTfves9JvIy4tleksOOEsmoOtidxoh1ivMd0uBGh/arXoVgNIRCIRDknWvTca5Vj1cUpSCvUh1S\nb2Lgwnm6ReoB8Xh9HPFPf4WaXh+0OCRZl6ZRkmOj2FKczbFaTcjNzU6Pl8udUlbg/oCVA5WSjEA4\n5ZJJp4czLTp+9WiEAYuDQ1Vq3lmZS7kmNaTXga8szj5rHJX6QbOSJFul0vAtziamPFzo0HOmVcfD\ngTH2VShnfZ4XYpMUkOl48MTKxQ4D959Yyc9MYGOBFBSsWpqx6HpxHq+PJ2YHXXob+vFp2rSTDFqn\nGLI4cM/4yM9MZElGAksyE1iSmchSRQKKpFiyk2NJjY8O+pyddHr4H7cG+OvbT6jNT0eTFscf7SoO\nWwcxVHw+EYvDxei4k2HrFEPWKb+2oKQrqBt3kpEYM+t2UJSTRFFOMoU5SWQlfV04dqHoJqb5ss/C\n7T4zX/abqVBL5fetxVmsL1As2O940OLgTKukFjAb/FWpWLMs/ODvaUu3Y3WSpVs4QsyuGS9XOqXy\n6oMBaRDinTCHoiamPXzeouXhgJWbvRYOV6s5VqcJOajx+kTu9Fs43jjCxQ4DdfnpHKvTsLssvB7e\niWkP59v0nGweJVIQUCTFcrBaxcaCrJA2atrxac616TnTouWJ2cH7q/NZvUzybQ72deb2gZ5r0+MT\nRfaWK9lXqQxq2CFYhq1TXPLLsdzut1CbnzbrhbtYVbFh6xQ3ek1c7zZx57GFpZmJs6LLtXmpz+3x\nlEu6YTJfwDfp9HC7z8KtPhM3e82syEoiLSGaLUVZbCrMWvDFPdC/crXbSId2gmvdZtYuz2RHqSTw\nGGyW0OcTaRmd8Is0G0iIiaQwO5nd5TlsKFj4NNLT/1fTyPiscHNUhMDeChUHq1QhX5C69TbJL7FF\ni+g3yz5YpaZEGdqgiMXu4vMWSdZlyDLFwSoVR2o11IYoWiqKkmTA8YZRzrXpKFencKw2vB17wNnj\nVw2jXOs2smGFgrdX5rK1OLzs26DFMdtfExEhcMzvNxpuv8mk08OlDsPspN56fyZvoUHe0y4anhmR\nY3UaytQprF+hWLSASBRFtBNOevQ2uvQ2uvWTdOltPDE7UKfFU5yTTN2SNBRJsbPBXWbi4k3u/qer\nffQb7fyDHYWkJ0Tz/1zo5vMWHT9as4S/u2n5osm/hMuM14d+0snI2DQ9Bpv/Q5KsASjKloK/YmUy\npaoUipXJCw7KAgTkpm74y0+PBscoU6XM9h8ttPw7N/iLiYygXJ3KgSoVq8Ls+fP5RO4+sXCiQfJI\nrc5L471VeWwrzg4roxMYKvv00QhenyQLcixM2aMnZgcnGkY43jhKYkwUb9VpOBr4q1PPAAAdrElE\nQVSGz/CUe4aLHVK2dMrtRZMWz+EaNRtDyLDNxTAxzdk2PZ+36Og32dlTpuRgtSpor/UAo+PTXGw3\ncKp5lH6Tgx0l2eytULI5SKcn+Oo++kWbnrtPLPQZ7GwvyWZ3uTKkatiLsDk93Oo1c6VL8rJNiY9i\ne7EU/NUvzViU6oTH66NhcIwbvSYah8Zm27cCiaWnr/dywBcm9fX14t1792keGedGj5lbfWa6dJPU\nLUmflWcJNRCZD7trhi/7zJIBcpeJmKgItvkFnEMZFQ9YuVzqNHC5y0hafDQ7SnPYVZa9qDsc+ErY\n8lybni/a9CTGRrHfP1UX6pRxn9HG2VY9p5u1OFwzHKiSxJtDlRuxu2a40K7jizYDdx5b2F6SzdEa\nTVj+jf0mOyebtNzoMWF3zXDMf1ENdTosIDB6omGUDt0kDreXt+s0HKoKTxjW6nBzpkVL4/A417tN\nHKqWBE/DlZuwu2a41GHgVp+Z82161izP5GCVih2l4ZdrRVGk32jnmv/m3jA4tuguGqIooptw0jIy\nTvPIBC0j40QIAl16GyXKZIr9OnvFymQKs5NfmsvE0wxbp/iPV3q52GHgtzYs47c2LH1lNnHPIiBK\n3esP/noMdtwzXs616VGmxFHh1+ar1KRSrkldUPAfwOnxcvexZbb/aHLaw95yJauXZ7IlyAb2Z/HE\n7OBsqyQxYrG72F8pbT7r8tPDCiqn3V4udhq42KHnWrdJuq7UakKycQwQuB786tEop5q15KbHc6xO\nw8Eqdcgbn4B+3fGGEc616anUpPJufW5YrRamSSdnWnWcbNYyZJliX6WSIzUaVoa5ZqPj05xt0fF5\ni5aRsWn2Vig5XKOmfkloAbh+wskXfnOADt0kW4qy2FehYmtRFolxwZ+Hw9YpaRrX3+++boXU776j\nNGfRNpw+n0ibdkIK/rqMUtBbrmTV0oxnmjGEg8nm4lafiRs9ko91clw0mwsVbC7KYu3yTJLiouWA\nLxzq6+tF9W/+OR6vyGZ/gFe/NH3B2TFRFOk12mdtYJqGxqlbkj57Q1yuCF7uQDcxzZUuI106Gyca\nR6nQpLCzNIedpTmLolg+F9eMl9v9Fi6067nYYaRCnULdknT2hTHFGwjyzrbqsDrcfq2l7JAvyoF+\nktMtWm72mFm1LEPKmhVlhbwTN046OdWs5WSTFv2kk0NV4ZVNQCpRSEr0IzhcXt6q1XC0Rk1BGNPO\ngRvOycZR7j+xsq0km6O16rD78qbcM1zuNPJ5i5bbfRZWLcvgrVoNW4qzws7oBGz/LncaudJlZJki\nEXVa3KJ54VodLlpGJJmQ5mEpyAORqty0WUmWCvXia8XNx4zXx7jf3mxsysPElIdJpwenx4drxotr\nxofTIz26PD6cM17MNimgGh6bIjYqgn2VKiIEiIwQiBCE2cf4mAgiBIHE2CiSY6NIiosiKTaapFip\nX1D6OorkuKhvtB8v8Hv2mxy0jIzTOjpB6+gEXTob6rQ4qnLTWLs8g1KVJNe00NaVYesUd59Y+KJV\nz70nVsrUKezwa5GuyApfu7HPaOdsq9QnNjHtYX+likPVKmrCsCcDqXJwplXHicZRhq1THKxSc7RW\nE7L/NnzlB368YZRrXcZZ793tpaELOzs9Xi51GjjZpOVuv4XNxVkcrdGwpSi00ipIwwSnWyRnoym3\nl4PVKo7WqClRhtcTN2hx8HmLjtv9Zrr1dvaU53CgUhXy0I3Z7uJCu4FzbTrMdheatAT2lIcetI05\nJEWLC+0Gvuwzs7Ukiwp1KjtKcxZVasg46eRmr5lrPZKbhjIlji1+Pb3ARO1C8fmkDcSNXmluwOac\n4ewfbpYDvnCor68Xb925tygX1olpD1/2mWdLGpERAgerVKxcksH6FZlBBydSA2lgcMOI3m+ovKs0\nh00L3BnPh901w7VuI+fbDbPK+Hv9ws2h9iv0GmyzZZeJaQ/7KiQ19VB3kR6vj1u9Zk43a7nUaaAy\nN5VDVWr2VihD7ke0OT180abnZJOWlpFxdpUpOVqrZv2K0Kf1JqfdfNEmlUg69QF3kFzql4S+Sw7o\nE55oHOVSh4HqvDTeqtWwu1wZVoZl2i0Zz59p0XGjx0TdknQO+H0mwz1nzHbJXuhKl5FbfeZF05IM\n6MA9GLD6P8ZIio0kPjqKqrxUqnPTqM5LQ50at6h9Z3bXDNrxaf+HE93ENB6vjy69jbEpf4DncONw\ne0mJiyI9UfLUTU+QArK46EhioyJmH2P9jwANg2Pc7DOTmxZPbno8u8qV+HwiXlHE55PkWbw+EQFw\nuGewuWawO6XJ39lH11df52ck0G+yk50SNztMkp0cS1ZyLNnJcdJjSiyatPhFnWr2eH30Guy0jo7T\na7Rzw6/uX5WbRv1SyTe8bkn6gkrBTo+kI3q5y8CVTiORkQI7SnLYVpzFmuUZxEWH9/v0GGycb9dx\nsknHtNvLgSoVBypVYWfHB8wOv8OEltjICPZWKDlSqwmrTGtzejjXpudEwyixUREoU+M4UqNhzbLQ\n+/3GHG4pW9c0Sp/Rzt4KKWALxaUIviqLnmrW0j46wcj4NAer1ByqUoUt0xUYUDvbqkM7Ps3uciX7\nK5Uhl30npjxc6TZwvk0K2so1KezxD2toQqjCOD1SEiMwkBEXHcGOUqlHftWyjLAH3Z7G6zdAuNZt\n4nq3kcdmB+uWZ7KnXMnqZRmLIvsS+H+iIiPkgC8cFiLL4vWJtI1OzAZ4XXob9UvTZxsvQ8niTUx5\nuPPYLAVdP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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# calculate the cylinder radius\n", "R = math.sqrt(kappa / (2 * math.pi * u_inf))\n", "\n", "# calculate the stagnation points\n", "x_stagn1, y_stagn1 = (+math.sqrt(R**2 - (gamma / (4 * math.pi * u_inf))**2),\n", " -gamma / (4 * math.pi * u_inf))\n", "x_stagn2, y_stagn2 = (-math.sqrt(R**2 - (gamma / (4 * math.pi * u_inf))**2),\n", " -gamma / (4 * math.pi * u_inf))\n", "\n", "# plot the streamlines\n", "width = 10\n", "height = (y_end - y_start) / (x_end - x_start) * width\n", "pyplot.figure(figsize=(width, height))\n", "pyplot.xlabel('x', fontsize=16)\n", "pyplot.ylabel('y', fontsize=16)\n", "pyplot.xlim(x_start, x_end)\n", "pyplot.ylim(y_start, y_end)\n", "pyplot.streamplot(X, Y, u, v,\n", " density=2, linewidth=1, arrowsize=1.5, arrowstyle='->')\n", "circle = pyplot.Circle((0.0, 0.0), radius=R, color='#CD2305', alpha=0.5)\n", "pyplot.gca().add_patch(circle)\n", "pyplot.scatter(x_vortex, y_vortex, color='#CD2305', s=80, marker='o')\n", "pyplot.scatter([x_stagn1, x_stagn2], [y_stagn1, y_stagn2],\n", " color='g', s=80, marker='o');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Challenge task" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The challenge task in the [doublet notebook](03_Lesson03_doublet.ipynb) was to calculate the radius of the cylinder created by the doublet in a uniform flow. You should have gotten\n", "\n", "$$R = \\sqrt{\\frac{\\kappa}{2\\pi U_\\infty}}$$\n", "\n", "The new challenge is to find where the stagnation points are located on the surface of the cylinder, when there's a vortex. (You just need an expression for the angles.)\n", "\n", "What hapens if $\\ \\frac{\\Gamma}{4\\pi U_\\infty R} >1$?\n", "\n", "Go back and experiment with a value of $\\Gamma$ that causes this." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Pressure coefficient" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's get the pressure coefficient on the surface of the cylinder and compare with the case with no vortex.\n", "The velocity components in polar coordinates for the combined freestream + doublet + vortex are given by\n", "\n", "$$u_r\\left(r,\\theta\\right) = U_\\infty \\cos\\theta \\left(1-\\frac{R^2}{r^2}\\right)$$\n", "\n", "$$u_\\theta\\left(r,\\theta\\right) = -U_\\infty \\sin\\theta \\left(1+\\frac{R^2}{r^2}\\right) - \\frac{\\Gamma}{2\\pi r}$$\n", "\n", "where $R$ is the cylinder radius.\n", "\n", "We see that the radial component vanishes on the surface of the cylinder whereas the tangential velocity is given by\n", "\n", "$$u_\\theta\\left(R,\\theta\\right) = -2U_\\infty \\sin\\theta - \\frac{\\Gamma}{2\\pi R} .$$\n", "\n", "As a note, when there is no vortex, the tangential velocity on the cylinder becomes\n", "\n", "$$u_\\theta\\left(R,\\theta\\right) = -2U_\\infty \\sin\\theta .$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the doublet notebook, we know that the pressure coefficient is defined by\n", "\n", "$$C_p = 1-\\frac{U^2}{U_\\infty^2}$$\n", "\n", "where $U^2 = u^2+v^2 = u_r^2+u_\\theta^2$.\n", "\n", "Let's plot it!" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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8F2ZrpMFp/qpRxUaMbz8ejebBBQ/KvK1imLJyCifST9CuWjtuu+o2o+P8Q2ze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\nk5aWpgVGeb/IlMFE3TmcynNn+fa5aQ223+J9Ozmx9DUIDCT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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# calculate the surface tangential velocity on the cylinder\n", "theta = numpy.linspace(0.0, 2 * math.pi, 100)\n", "u_theta = -2 * u_inf * numpy.sin(theta) - gamma / (2 * math.pi * R)\n", "\n", "# compute the surface pressure coefficient\n", "cp = 1.0 - (u_theta / u_inf)**2\n", "\n", "# if there was no vortex\n", "u_theta_no_vortex = -2 * u_inf * numpy.sin(theta)\n", "cp_no_vortex = 1.0 - (u_theta_no_vortex / u_inf)**2\n", "\n", "# plot the surface pressure coefficient\n", "size = 6\n", "pyplot.figure(figsize=(size, size))\n", "pyplot.grid(True)\n", "pyplot.xlabel(r'$\\theta$', fontsize=18)\n", "pyplot.ylabel('$C_p$', fontsize=18)\n", "pyplot.xlim(theta.min(), theta.max())\n", "pyplot.plot(theta, cp,\n", " label='with vortex', color='#CD2305', linewidth=2, linestyle='-')\n", "pyplot.plot(theta, cp_no_vortex,\n", " label='without vortex', color='g', linewidth=2, linestyle='-')\n", "pyplot.legend(loc='best', prop={'size':16});" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Lift and Drag" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The lift is the component of force perpendicular to $U_\\infty$, while the drag is the component parallel to $U_\\infty$. How could we get them with the information we have above? \n", "\n", "Well, the force on the cylinder is a product of the pressure acting on its surface (there is no viscosity here: it's ideal flow). If you draw a free body diagram, you should see that:\n", "\n", "$$D = -\\int_0^{2\\pi} p \\ \\cos\\theta \\ R \\ d\\theta$$\n", "\n", "$$L = -\\int_0^{2\\pi} p \\ \\sin\\theta \\ R \\ d\\theta$$\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Challenge Task" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using Bernoulli's equation, replace $p$ in the equations above to obtain the lift and drag.\n", "\n", "What does this mean?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The Magnus effect" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The force experienced by a rotating cylinder (or sphere, or any object) is known as the _Magnus effect_.\n", "\n", "Believe it or not, someone actually tried to build an airplane with this concept: spinning cylinders as \"wings.\" According to an article on [PilotFriend](http://www.pilotfriend.com/photo_albums/potty/2.htm), a plane called the 921-V was built in 1930 and flew \"at least once\" before crashing." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "Image(url='http://upload.wikimedia.org/wikipedia/commons/7/78/Flettner_Rotor_Aircraft.jpg')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And nowadays, a handful of hobbyists build RC \"rotorwings\" taking advantage of the Magnus effect to collect views on YouTube ..." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/jpeg": 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sz5p1wn4XPbD5K6AGS/SXC/DD21xTo1BNVvP02LdXWx8ObewCNY7YO1x07ESu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\n4F+KK1eJCP4P2f/Z\n", "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import YouTubeVideo\n", "YouTubeVideo('POHre1P_E1k')" ] }, { "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": 15, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 15, "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": "3.7.1" } }, "nbformat": 4, "nbformat_minor": 1 }